============================== Prover9 =============================== Prover9 (64) version 2017-09A, September 2017. Process 18711 was started by veroff on leda, Fri Aug 28 08:13:00 2020 The command was "prover9 -f gbol_to_osb.in". ============================== end of head =========================== ============================== INPUT ================================= % Reading from file gbol_to_osb.in assign(order,kbo). set(lex_order_vars). clear(back_demod). set(restrict_denials). set(para_from_small). 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). 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). (x * (y * x)) * ((1 / x) * z) = x * (y * z) # label("gen left Bol"). (x * (y \ 1)) * ((y * z) * y) = (x * z) * y # label("gen right Bol"). end_of_list. formulas(goals). ((1 / x) \ y) * (z * x) = x * ((y * z) * x) # label("Osborn 1"). (x * y) * (z / (x \ 1)) = (x * (y * z)) * x # label("Osborn 2"). (1 / x) \ (((1 / x) * y) * z) = (y * (z * x)) / x # label("Osborn 3"). x \ ((x * y) * z) = (y * (z * (x \ 1))) / (x \ 1) # label("Osborn 4"). end_of_list. formulas(hints). ((1 / x) \ y) * (z * x) = x * ((y * z) * x). (x * (y * x)) * ((1 / x) * z) = x * (y * z). (x * (y \ 1)) * ((y * z) * y) = (x * z) * y. 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 * 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). ((1 / c1) \ c2) * (c3 * c1) != c1 * ((c2 * c3) * c1). (x \ 1) * ((x * y) * x) = (1 * y) * x. (x * (y * x)) * (1 / x) = x * (y * 1). 1 \ x = x. x \ x = 1. x \ (x * (y \ (y * z))) = z. (x * (y \ 1)) * (z * y) = (x * (y \ z)) * y. (x * (x \ 1)) * y = y. x * (y * (y \ 1)) = x. x * (y * (y \ (x \ z))) = z. x / x = 1. x * (((x \ y) * z) / z) = y. x / (y \ x) = y. (x * y) * ((1 / x) * z) = x * ((y / x) * z). ((1 / x) * x) * y = y. (x / y) \ x = 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. 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 * 1 != y | x = y. x * (y \ z) != z | x = y. x != y * z | x / z = y. x * y != z | z / y = x. (x * (y * z)) * a(x,y,z) = (x * y) * z. 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). (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 \ z,y) = z \ (y * ((y \ z) * x)). x \ (y * ((y \ x) * z)) = L(z,y \ x,y). L(x \ y,x,z) = (z * x) \ (z * 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(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 * (x \ 1)) \ y = y. ((1 / x) * x) \ y = y. K(x,x) = 1. 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). (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. R(x,y,z) \ ((x * y) * z) = y * z. ((x / (y / z)) \ x) \ y = z. (x * (x \ 1)) * y != z | z = y. ((1 / x) * x) * y != z | z = y. x * (y * (y \ 1)) != z | x = z. x * (y \ y) != z | x = z. 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). 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 != z | y = x \ z. x = y \ (x * T(y,x)). x \ (y * T(x,y)) = y. (x \ y) * T(x,x \ y) = y. 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. 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). a(x,y,T(z,x * y)) = (x * (y * T(z,x * y))) \ (z * (x * y)). (x * (y * T(z,x * y))) \ (z * (x * y)) = a(x,y,T(z,x * y)). K(T(x,y),y) = (x * y) \ (T(x,y) * y). (x * y) \ (T(x,y) * y) = K(T(x,y),y). 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). 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,x * y)) = (z * (x * y)) / (y * T(z,x * y)). (x * (y * z)) / (z * T(x,y * z)) = R(y,z,T(x,y * z)). 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)). T(x,T(y,x)) = T(y,x) \ (y * x). T(x,y) \ (x * y) = T(y,T(x,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). a(1 / (x * y),x,y) = ((1 / (x * y)) * x) * y. ((1 / (x * y)) * x) * y = a(1 / (x * y),x,y). 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). K(T(x,y),x) = 1. T(x,T(x,y)) = x. T(T(x,y),z) = T(T(T(x,y),z),x). T(T(T(x,y),z),x) = T(T(x,y),z). x * T(x,y) = T(x,y) * x. T(x,y) * x = x * T(x,y). x / T(y,y \ x) = y \ x. (R(x,y,z) * u) / R(T(x,u),y,z) = u. 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). L(x,y,z) \ (u * L(T(x,u),y,z)) = u. T(x,(y * x) / y) = x. x \ x != y | 1 = y. x * (y * (y \ z)) = x * z. L(x \ (y \ z),x,y) = (y * x) \ z. ((x * (x \ y)) / z) \ y = z. ((x / y) * y) / z = x / z. ((x / y) * y) * z = x * z. R((x / y) / z,z,y) = x / (z * y). 1 * x != y * 1 | x = y. T(x,1) = x. x != y | z != y | z = x. K(x,1) = 1. T(1,x) = 1. x != y | x = (z / y) \ z. x * (x \ y) = (z / y) \ z. (x / y) \ x = z * (z \ y). x != y | x = z / (y \ 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 * 1 = (x / y) * y. (x / y) * y = x * 1. x != y | x = z * (z \ y). x \ (x * y) = z * (z \ y). x * 1 = y * (y \ x). x * (x \ y) = y * 1. x * 1 != y * z | x / z = y. (x / y) * y != z | z = x. x \ (y * (y \ x)) = 1. x * 1 != y * z | y \ x = z. x * (x \ y) != z | z = y. R(x,y,z) * (y * z) != u | u = (x * y) * z. R(x,y,z) * (y * z) != u | (x * y) * z = u. x * T(y,x) != z | z = y * x. x * T(y,x) != z | y * x = z. x * y != z | z = y * T(x,y). x * y != z | y * T(x,y) = z. (x * y) * L(z,y,x) != u | u = x * (y * z). (x * y) * L(z,y,x) != u | x * (y * z) = u. (x * (x \ 1)) \ y != z | z = y. ((1 / x) * x) \ y != z | z = y. x * K(y \ x,y) = (y \ x) * y. 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)). T((x \ y) \ y,z) = T(T(x,z),x \ y). T(T(x,y),x \ z) = T((x \ z) \ z,y). x / K(y,y \ x) = (y \ x) * y. (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). 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 / R(T(y,R(y,z,u) \ x),z,u) = R(y,z,u) \ x. (x / (y * (y \ z))) * z = x. x * (y * (y \ z)) = u * (u \ (x * z)). x * (x \ (y * z)) = y * (u * (u \ z)). x != y / (z \ y) | x = z. x / (y \ ((x / z) * z)) = y. (x * (x \ y)) * z = y * z. (x / y) \ x != 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) \ (y * x) != z | z = K(y,x). (x * y) \ (y * x) != z | K(y,x) = z. T((x * y) / x,x) != z | z = y. x / (y \ x) != z * u | z \ y = u. (x * (x \ y)) \ z = y \ z. x / (y \ x) != z | z = y. (x * (x \ y)) \ z != u | u = y \ z. (x * (x \ y)) \ z != u | y \ z = u. (x * y) / y != z | z = x. x / x != y | y = 1. x / x != y | 1 = y. (x * T(y,x)) / x != z | z = 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 \ (x * y) != z * u | z \ y = u. x * (y * (y \ z)) != u | u = x * z. x * (y * (y \ z)) != u | x * z = u. 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. R(x,y,y \ z) * z = (x * y) * (y \ z). (x * (x \ y)) * z != y * u | z = u. ((x / y) \ x) * z = y * z. (x / (y \ x)) * z = y * z. x * (((y / x) \ y) \ z) = z. x != y * (y \ z) | x = z. ((x / y) \ x) * (y \ z) = z. ((x / y) \ x) * z != u | y \ u = z. ((x \ y) \ y) * z = T(x,x \ y) * z. T(x,x \ y) * z = ((x \ y) \ y) * z. ((x \ y) \ y) * (T(x,x \ y) \ z) = z. x * y != x * z | z = y. x \ (x * y) = L(y,1,x). L(x,1,y) = 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. R(x,1,y) != z | z = x. x != (y * (y \ z)) \ u | x = z \ u. L((x \ y) \ 1,x \ y,x) = y \ x. x != ((1 / y) * y) \ z | x = z. L(x \ 1,x,1 / x) = 1 / x. (x * y) * L(y \ 1,y,x) = 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. L(x,1 / x,y) = (y * (1 / x)) \ y. 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. x * y != z \ (z * (u * x)) | T(u,x) = y. x \ (x * (y * z)) != z * u | T(y,z) = u. T(x,y) * z != x * y | T(y,T(x,y)) = z. x * y != (x * z) * K(z,x) | T(z,x) = y. (x * y) * K(y,x) != x * z | T(y,x) = z. (x / y) * y != z * u | x / u = z. x * (x \ y) != z * u | y / u = z. x * (y * (y \ 1)) != z * u | z \ x = u. (x / y) * y != z * u | z \ x = u. x * (x \ y) != z * u | z \ y = u. 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. x * R(T(y,x),z,u) != w | R(y,z,u) * x = w. 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. T(x / y,y) != z | z = y \ x. T(x / y,y) != z | y \ x = z. x != (x * y) * z | L(y \ 1,y,x) = z. (x * y) * z != x | L(y \ 1,y,x) = z. L(L(x \ 1,x,y),y * x,z) = (z * (y * x)) \ (z * 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). L(x \ 1,x,y) * (((y * x) \ y) \ z) = z. 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 * x)) * z = R(1 / y,y,x) * z. R(1 / x,x,y) * z = (y / (x * y)) * z. T(x,x \ y) != z | (x \ y) \ y = z. T(x,T(y,x)) != z | T(y,x) \ (y * x) = z. T(x \ y,T(x,x \ y)) != z | T(x,x \ y) \ y = 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 | L(u \ 1,u,z) / y = x. L(x \ 1,x,y) / ((y * x) \ y) = 1. x \ (y * T(y \ x,y)) = K(y \ x,y). K(x \ 1,x) \ 1 = K(x,x \ 1). 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). T(x,y) * T(x,z) = T(x,z) * T(x,y). 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). T(x,T(T(x,y),z)) = x. (x * T(y,z)) / x = T((x * y) / x,z). x * T(y,z) != u * x | u = T((x * y) / x,z). x * T(y,z) != u * x | T((x * y) / x,z) = u. (x * T(y,z)) / x != u | u = T((x * y) / x,z). (x * T(y,z)) / x != u | T((x * y) / x,z) = u. T(T(x,y),z) != u | u = T(T(x,z),y). T(T(x,y),z) != u | T(T(x,z),y) = u. (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 \ 1) * y | x = K(y \ 1,y). 1 / K(x,x \ 1) = K(x \ 1,x). (x * y) * L(z,y,x) != x * u | u = y * z. (x * y) * L(z,y,x) != x * u | y * z = u. x * y != z * (u * (u \ w)) | (z * w) / y = x. (x * y) / L(z \ y,z,x) = x * z. x * y != z * (u * w) | x \ ((z * u) * L(w,u,z)) = y. x \ ((x * y) * L(z,y,x)) = y * z. x * y != z * (u * (u \ (z \ (x * w)))) | y = w. L(x \ (y \ ((y * x) * z)),x,y) = z. x != (y * (y \ z)) * u | x = z * u. x * ((x \ y) * z) = y * L(z,x \ y,x). x * L(y,z \ x,z) = z * ((z \ x) * y). x != ((y / z) * z) * u | x = y * u. (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(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). 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). 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)). (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). K(x \ 1,x) * L(y,x,x \ 1) = (x \ 1) * (x * y). (x * y) \ (x * (y * z)) != u | u = L(z,y,x). (x * y) \ (x * (y * z)) != u | L(z,y,x) = u. x \ ((x * y) * L(z,y,x)) != u | u = y * z. x \ ((x * y) * L(z,y,x)) != u | y * z = u. x * ((x \ 1) * y) != z | z = L(y,x \ 1,x). x * ((x \ 1) * y) != z | L(y,x \ 1,x) = z. (1 / x) * (x * y) != z | z = L(y,x,1 / x). (1 / x) * (x * y) != z | L(y,x,1 / x) = z. L((x \ y) \ z,x \ y,x) = y \ (x * z). x != y \ (z * T(y,z)) | x = z. L(x \ T(y * x,y),x,y) = y. 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,x,z / x) = z \ ((z / x) * y). L(T(x,y) \ z,T(x,y),y) = (x * y) \ (y * z). L(x \ T(y,z),x,z) = (z * x) \ (y * z). 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). R(x,y,y \ 1) = (x * y) * (y \ 1). (x * y) * (y \ 1) = R(x,y,y \ 1). 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 * y) / u) / w) * w) * u | x = z. R(((x * (y * z)) / z) / y,y,z) = x. x * y != z * (u * (u \ 1)) | z / y = x. R(x,y,y \ 1) / (y \ 1) = x * y. x * y != z * (u * (u \ 1)) | x \ z = y. (x * y) \ R(x,y,y \ 1) = y \ 1. R(x,y / z,z) * y = (x * (y / z)) * z. (x * y) * z != u * (y * z) | R(x,y,z) = u. a(R(x,y,z),y,z) = ((x * y) * z) \ ((R(x,y,z) * y) * z). ((x * y) * z) \ ((R(x,y,z) * y) * z) = a(R(x,y,z),y,z). 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). 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). 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). ((x * y) * z) / (y * z) != u | u = R(x,y,z). ((x * y) * z) / (y * z) != u | R(x,y,z) = u. (R(x,y,z) * (y * z)) / z != u | u = x * y. (R(x,y,z) * (y * z)) / z != u | x * y = u. (x * y) * (y \ 1) != z | R(x,y,y \ 1) = z. ((x * y) * z) * L(u,y * z,R(x,y,z)) = R(x,y,z) * ((y * z) * u). R(x / y,y,x \ z) = z / (y * (x \ 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 / y,y,x \ z) \ z = y * (x \ 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). (x * y) / L(z,y / z,x) = x * (y / z). 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. R(x,x \ 1,x) = x / K(x \ 1,x). x / K(x \ 1,x) = R(x,x \ 1,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). (1 / x) \ L(L(y,x,1 / x),z,u) = x * L(y,z,u). (x * y) / y != z * u | z \ x = u. (R(x,y,z) * (y * z)) / z != u * w | (x * y) / w = u. (x * (x \ y)) * z != u | y * z = u. x \ (y * (y \ x)) != z * u | z \ 1 = u. x * ((x \ y) * z) != y * u | L(z,x \ y,x) = 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). L(x,1 / x,x) = K(x,1 / x) \ x. K(x,1 / x) \ x = L(x,1 / x,x). 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). (((x / y) / z) * z) * y != u * w | x / w = u. ((x / y) * y) * z != u * w | (x * z) / w = u. ((1 / x) * x) * y != z * u | y / u = z. x * (y * (y \ z)) != u * w | (x * z) / w = u. x \ (x * y) != z * u | y / u = z. x * y != z * u | z \ (x * y) = u. x * T(y,x) != z * u | z \ (y * x) = u. (x * y) * K(y,x) != z * u | z \ (y * x) = u. ((x / y) * y) * z != u * w | u \ (x * z) = w. x * (y * (y \ (x \ z))) != u * w | u \ z = w. x * (y * (y \ z)) != u * w | u \ (x * z) = w. T(x \ y,T(x,x \ y)) != z | ((x \ y) \ y) \ y = z. (x * y) \ (x * z) != u | u = L(y \ z,y,x). (x * y) \ (x * z) != u | L(y \ z,y,x) = u. 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((1 / x) * y,z,u) = L(L(x \ y,z,u),x,1 / x). L(L(x \ y,z,u),x,1 / x) = L((1 / x) * y,z,u). L(T((x \ 1) \ y,z),x \ 1,x) = T(x * y,z). R(x * y,z,u) = L(R((x \ 1) \ y,z,u),x \ 1,x). L(R((x \ 1) \ y,z,u),x \ 1,x) = R(x * y,z,u). x * (y \ 1) = R(x / y,y,y \ 1). R(x / y,y,y \ 1) = x * (y \ 1). R(1 / x,x,x \ 1) = x \ 1. 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 \ 1)) * T(y,y \ 1) = R(x,y \ 1,(y \ 1) \ 1). R(x / y,y,T(z,x)) \ (z * x) = y * T(z,x). (x * y) / (z * y) != u | u = R(x / z,z,y). (x * y) / (z * y) != u | R(x / z,z,y) = u. R(R(1 / x,x,y),x * y,z) \ (y * z) = (x * y) * z. x * y != R(z,y,y \ 1) / (y \ 1) | x = z. R(x,y,y \ 1) / (y \ 1) != z * y | z = x. ((x / y) \ x) * z != u | y * z = u. (x / (y \ x)) * z != u | y * z = u. K(x,1 / x) * L(x,1 / x,x) = x. R(x,y,z) \ ((x * y) * z) != u * w | (y * z) / w = u. R(T(x / y,z),y,y \ 1) = T(x * (y \ 1),z). R(L(x / y,z,u),y,y \ 1) = L(x * (y \ 1),z,u). 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). ((x \ y) \ y) * z != u | T(x,x \ y) * z = u. 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 \ 1) * ((x * y) * x) = y * x. x \ (y * (1 / x)) = ((1 / x) * y) * (1 / x). ((1 / x) * y) * (1 / x) = x \ (y * (1 / x)). (x \ 1) * ((x * 1) * x) = x. x * y != (z / u) * u | x \ z = y. (x \ 1) \ y = (x * (y / x)) * x. (x * (y / x)) * x = (x \ 1) \ y. (x \ 1) * (y * x) = (x \ y) * x. x * y != (y \ 1) * z | (y * x) * y = z. (x \ 1) * y != z * x | (x * z) * x = y. (x \ 1) * (x * x) = x. (x \ 1) \ x = x * x. (x * (y \ 1)) * ((y \ 1) \ z) = (x * (z / y)) * y. K(x,1 / x) * x = (x \ 1) \ 1. ((x \ 1) \ 1) / x = K(x,1 / x). ((x \ 1) \ 1) / x != y | y = K(x,1 / x). ((x \ 1) \ 1) / x != y | K(x,1 / x) = y. (x \ 1) / (1 / x) = K(1 / x,1 / (1 / x)). K(1 / x,1 / (1 / x)) = (x \ 1) / (1 / x). (x * (y * x)) * (1 / x) = x * y. x * y != z * (z \ u) | u / y = x. x / (1 / y) = y * ((y \ x) * y). x * ((x \ y) * x) = y / (1 / x). (x * y) * (1 / x) = x * (y / x). x \ (y / (1 / x)) = (x \ y) * x. x * y != (z * u) / u | x \ z = y. x \ y = (x \ (y * (1 / x))) * x. (x \ (y * (1 / x))) * x = x \ y. x != y * ((y \ 1) * z) | x = L(z,y \ 1,y). 1 / (1 / x) = L(x,x \ 1,x). L(x,x \ 1,x) = 1 / (1 / x). (x / (1 / y)) * ((1 / y) * z) = y * ((y \ x) * z). x * K(x \ 1,x) = 1 / (1 / x). 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). ((x \ 1) * y) * x = (x \ 1) * (y / (x \ 1)). (x \ 1) * (y / (x \ 1)) = ((x \ 1) * y) * x. x != (y \ z) * y | x = (y \ 1) * (z * y). x \ (y / (1 / x)) = (x \ 1) * (y * x). x \ (1 / (1 / x)) = K(x \ 1,x). (x \ 1) \ (y / x) = ((x \ 1) \ y) * (x \ 1). ((x \ 1) \ y) * (x \ 1) = (x \ 1) \ (y / x). ((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). 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 * L(x \ (y * x),z,u) = L(y,z,u) * x. 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 * L(L(x,y,z),u,w) = L(L(x,y,z),u,w) * x. L(L(x,y,z),u,w) * x = x * L(L(x,y,z),u,w). 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) | ((z * u) * w) / y = x. ((x * y) * z) / R(T(x,y * z),y,z) = y * z. 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(T(T(y,x),z),u,w) = R(T(y,z),u,w) * x. 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(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). 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 * 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 \ 1,x) = R(x \ 1,x,x \ 1). R(x \ 1,x,x \ 1) = T(x \ 1,x). T(x * (y \ 1),y) = R(y \ x,y,y \ 1). R(x \ y,x,x \ 1) = T(y * (x \ 1),x). x * R(x \ 1,x,y) = (y / (x * y)) * x. (x / (y * x)) * y = y * R(y \ 1,y,x). T(T(x,x \ y),z) = T((x \ y) \ y,z). (x \ y) * T(T((x \ y) \ y,z),u) = T(T(x,z),u) * (x \ y). x * ((y \ z) \ z) = x * T(y,y \ z). x * T(y,y \ z) = x * ((y \ z) \ z). L(x,(y \ z) \ z,u / T(y,y \ z)) = u \ ((u / T(y,y \ z)) * (((y \ z) \ z) * x)). x \ ((x / T(y,y \ z)) * (((y \ z) \ z) * u)) = L(u,(y \ z) \ z,x / T(y,y \ z)). ((x \ y) \ y) \ z = T(x,x \ y) \ z. T(x,x \ y) \ z = ((x \ y) \ y) \ 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). T(x,x \ y) \ (((x \ y) \ y) * z) = z. 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) \ y) \ z != u | u = T(x,x \ y) \ z. ((x \ y) \ y) \ z != u | T(x,x \ y) \ z = u. x \ (x / y) != z | L(y \ 1,y,x / y) = z. T(x,y) / (x * y) != z | R(1 / y,y,T(x,y)) = z. (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 * T(x \ (y * x),z) != u * w | u \ (T(y,z) * x) = w. 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). 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 \ 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. T(T((x * y) / x,z),x) != u | u = T(y,z). T(T((x * y) / x,z),x) != u | T(y,z) = u. x \ (((y / (1 / x)) * z) / z) = (x \ 1) * (y * x). x != (y / z) * z | x = y. (x / ((y \ z) \ z)) * T(y,y \ z) = x. x * y != z * ((u \ w) \ w) | (z * T(u,u \ w)) / y = x. (x * T(y,y \ z)) / ((y \ z) \ z) = x. T(x,x \ y) * z != u | u = ((x \ y) \ y) * z. T(x,x \ y) * z != u | ((x \ y) \ 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. T(x,x * y) = L(T(x,y),y,x). L(T(x,y),y,x) = T(x,x * y). (R(x,y,z) * z) \ ((x * y) * z) = L(T(y,z),z,R(x,y,z)). L(T(x,y \ z),y \ z,y) != u | z \ (y * (x * (y \ z))) = u. 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). 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). x * T(y,y * x) = L(y,x,y) * x. (x * y) * R(L(T(x,y),y,x),z,u) = R(x,z,u) * (x * y). (x * T(y,y * x)) / x = L(y,x,y). x * L(T(y,y * x),z,u) = L(L(y,x,y),z,u) * x. x * y != y * T(z,u) | x = T((y * z) / y,u). L(x,y,x) = T((y * x) / y,x * y). T((x * y) / x,y * x) = L(y,x,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). 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(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)). x != R(y,z,u) * w | x = w * R(T(y,w),z,u). (x * y) * (y \ z) = z * R(T(x,z),y,y \ z). x * R(T(y,x),z,z \ x) = (y * z) * (z \ x). (x * y) * T((x * y) \ x,z) = x * (y * T(y \ 1,z)). x * T(x \ (y * x),z) != u | T(y,z) * x = u. x * T(T(T(y,x),z),u) != w | T(T(y,z),u) * x = w. L(x \ 1,x,y) \ z = ((y * x) \ y) \ z. x * y != 1 / (1 / x) | y = K(x \ 1,x). ((x * y) \ x) \ (1 / (1 / L(y \ 1,y,x))) = K(L(y \ 1,y,x) \ 1,L(y \ 1,y,x)). K(L(x \ 1,x,y) \ 1,L(x \ 1,x,y)) = ((y * x) \ y) \ (1 / (1 / L(x \ 1,x,y))). (x / (y * x)) * (R(1 / y,y,x) \ z) = z. x \ (y * T(y \ x,y)) != z | K(y \ x,y) = z. 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). x * L(L(y,z,x / z),u,w) = (x / z) * (z * L(y,u,w)). x != (y * (z * u)) \ ((y * z) * u) | x = a(y,z,u). L(((x * y) \ (x * (y * z))) \ z,(x * y) \ (x * (y * z)),x * y) = a(x,y,z). a(x,y,z) = L(((x * y) \ (x * (y * z))) \ z,(x * y) \ (x * (y * z)),x * y). L(T((x \ y) \ z,u),x \ y,x) = T(y \ (x * z),u). 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). 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). R(x,x \ (y / z),z) \ y = (x \ (y / z)) * 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. R(x,1 / y,y) = (x * (1 / y)) * y. (x * (1 / y)) * y = R(x,1 / y,y). (x * (y / z)) * z != u * y | R(x,y / z,z) = u. (x * (1 / y)) * y != z | z = R(x,1 / y,y). (x * (1 / y)) * y != z | R(x,1 / y,y) = z. R(T(x / (y / z),u),y / z,z) * y = ((y / z) * T((y / z) \ x,u)) * z. x * y = R(x / (1 / y),1 / y,y). R(x / (1 / y),1 / y,y) = x * y. 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). x * y != R(L(z,u,w),v5,v6) | L(R(z,v5,v6),u,w) / y = x. L(R(x,1 / y,y),z,u) / y = L(x,z,u) * (1 / y). R(T(x / (1 / y),z),1 / y,y) = T(x * y,z). R(T(x / (y / z),u),y / z,z) = T((x * z) / 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(x * (y / z),L(z,y / z,x)) = L(z,y / z,x) \ (x * y). T(x,x \ 1) / x != y | K(x,1 / x) = y. 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)) / z,y) = R(y \ x,y,y \ z). T(x / (y * (y \ z)),y) * z = ((y \ (x / (y \ z))) * y) * (y \ z). ((x \ (y / (x \ z))) * x) * (x \ z) = T(y / (x * (x \ z)),x) * z. x != R(y,z,z \ 1) | x = (y * z) * (z \ 1). T(x * (y \ 1),y) = ((y \ x) * y) * (y \ 1). ((x \ y) * x) * (x \ 1) = T(y * (x \ 1),x). (x * R(x \ 1,x,y)) \ (x * (y / (x * y))) != z | K(x,y / (x * y)) = z. T((((x * y) / x) \ z) \ z,x) != u | T(y,((x * y) / x) \ z) = u. x != y \ (z * y) | x = T(z,y). L(x \ 1,x,y) \ (z * ((y * x) \ y)) = T(z,(y * x) \ y). ((x \ y) / y) * (R(1 / x,x,x \ y) \ z) = z. R(1 / x,x,y) != z | y / (x * y) = z. x * R(y,x,z) = (((x * y) * z) / (x * z)) * x. (((x * y) * z) / (x * z)) * x = x * R(y,x,z). 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). (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). R(T(x,y),y / x,x) = T(x,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) * T(y,x) = (y * x) * y. x * T(y,x / y) = (y * (x / y)) * y. (x * (y / x)) * x = y * T(x,y / x). x * y != (z * u) * T(u,z) | x \ ((u * z) * u) = y. (T(x,y) * (y * x)) \ ((x * y) * x) = K(y * x,T(x,y)). 1 * x != (y * (z / y)) * y | x = (y \ 1) \ z. T(x,1 / x) = (x \ 1) \ 1. x != (y \ z) \ z | x = T(y,y \ z). T(x,1 / x) = T(x,x \ 1). T(x \ 1,x) = ((x \ 1) \ 1) \ 1. ((1 / x) * ((x \ 1) \ 1)) / (1 / x) != y | y = x. x != T(y,1 / y) | x = R(y,1 / y,y). T(x,x \ 1) = R(x,1 / x,x). R(x,1 / x,x) = T(x,x \ 1). (x * T(y,y \ 1)) / x = T((x * y) / x,1 / y). R(T(x,x \ 1),y,z) = R(R(x,y,z),1 / x,x). R(R(x,y,z),1 / x,x) = R(T(x,x \ 1),y,z). x != ((y \ z) \ z) \ u | x = T(y,y \ z) \ u. T(x \ 1,x) = T(x,x \ 1) \ 1. T(x,x \ 1) \ 1 = T(x \ 1,x). 1 / T(x \ 1,x) = (x \ 1) \ 1. x / L(T(y \ 1,y),T(y,y \ 1),x) = x * T(y,y \ 1). x * y != ((z / u) * u) * w | (z * w) / y = x. (x * (y * z)) / z = (x / (z \ 1)) * (z \ y). (x / (y \ 1)) * (y \ z) = (x * (z * y)) / y. x != (y \ 1) * (z * y) | x = (y \ z) * y. ((x \ 1) * y) * ((1 / (x \ 1)) * x) = (x \ (y / (x \ 1))) * x. 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). R(R(x,y,z),u,w) * (y * z) != v5 | (R(x,u,w) * y) * z = v5. (x * y) * T(L(z,y,x),u) != w | x * (y * T(z,u)) = w. (x * y) * R(L(z,y,x),u,w) != v5 | x * (y * R(z,u,w)) = v5. (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) \ (y * (T(x,y) * z)) != u | L(z,T(x,y),y) = u. (x * y) \ (x * (z * y)) != u | L(T(z,y),y,x) = u. (x * (y * z)) \ (x * (y * (z * u))) != w | L(L(u,z,y),y * z,x) = w. (x * y) \ (x * (1 / (1 / y))) != z | L(K(y \ 1,y),y,x) = z. ((1 / (1 / x)) * y) / (K(x \ 1,x) * y) != z | R(x,K(x \ 1,x),y) = z. ((x * y) * R(T(z,y),u,w)) / (R(z,u,w) * y) != v5 | R(x,y,R(T(z,y),u,w)) = v5. (x * ((x \ 1) * y)) * x = y / (x \ 1). ((x \ 1) * y) * x != (x \ 1) * z | y / (x \ 1) = z. (x \ 1) * y != ((x \ 1) * z) * x | z / (x \ 1) = y. (x * y) * x = ((x \ 1) \ y) / (x \ 1). ((x \ 1) \ y) / (x \ 1) = (x * y) * x. ((x * y) * x) * (x \ 1) = (x \ 1) \ y. (x * y) * (y \ 1) = (y \ 1) \ (y \ x). (x \ 1) \ (x \ y) = (y * x) * (x \ 1). (x \ y) / ((y * x) * (x \ 1)) = x \ 1. (x \ (y / x)) / (y * (x \ 1)) = x \ 1. (x \ 1) \ (x \ y) != z | z = (y * x) * (x \ 1). (x \ 1) \ (x \ y) != z | (y * x) * (x \ 1) = z. (x \ 1) * y != x \ (z / x) | y = z * (x \ 1). x \ (z / x) != (x \ 1) * y | y = z * (x \ 1). x \ (y / x) != (x \ 1) * z | y * (x \ 1) = z. (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 * 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). R(R(x / y,y,z),u,w) * (y * z) = (y * z) * R((y * z) \ (x * z),u,w). (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)). T(x,R(T(x,y),z,u)) = x. T(x,R(x,y,z)) = x. ((((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. 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. T(L(x / y,z,u),y) != w | w = L(y \ x,z,u). T(L(x / y,z,u),y) != w | 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(L(z,y,x),u,w)) / (x * y) = R((x * (y * z)) / (x * y),u,w). ((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 * (x \ z)) / y)) / x = (y * (z / x)) / y. ((x * (y / z)) / x) \ (z * ((x * (z \ y)) / x)) = z. x * ((y * (x \ z)) / y) != u | ((y * (z / x)) / y) * x = u. (x * K(y \ x,y)) * (y \ 1) = T(x * (y \ 1),y). x / (y \ 1) = (x * (y * y)) / y. (x * (y * y)) / y = x / (y \ 1). (x / (y \ 1)) * y = x * (y * y). 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. L((x * (y \ (z \ u))) / x,y,z) = (x * ((z * y) \ u)) / x. 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 \ z) \ u)) / x,y \ z,y) = (x * (z \ (y * u))) / x. R((x * (1 / y)) / x,y,z) = (x * (z / (y * z))) / x. R((x * ((y / z) / u)) / x,u,z) = (x * (y / (u * 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 \ ((x * (1 / y)) * y) = a(x,1 / y,y). (x * y) \ (y * T(x,y / x)) = a(x,y / x,x). x \ R(x,1 / y,y) = a(x,1 / y,y). 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)). a(1 / (x * y),x,y) \ R((1 / (x * y)) * x,y,y \ 1) = y \ 1. (x * y) * R((x * y) \ x,z,u) = x * (y * R(y \ 1,z,u)). R((x * y) \ x,y,y \ 1) = L(T(y \ 1,y),y,x). x != L(y \ z,y,u) | x = (u * y) \ (u * z). L(L(x \ 1,y * x,z),x,y) = (z * (y * x)) \ (z * y). 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)). (1 / x) * (x * ((y * x) \ y)) = L(1 / x,x,y). (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((y * T(x,y)) \ y,z) = y * (T(x,y) * T(T(x,y) \ 1,z)). L(T(T(x,y) \ z,u),T(x,y),y) = T((x * y) \ (y * z),u). 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 * y),u) * (z * y) = (T(x / z,u) * z) * y. 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). (x * y) \ (z * y) = R(T(z / x,x * y),x,y). R(T(x / y,y * z),y,z) = (y * z) \ (x * z). R(T(x / y,y * z),y,z) != u | (y * z) \ (x * z) = u. 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). x \ (y \ x) = R(T(1 / y,x),y,y \ x). R(T(1 / x,y),x,x \ y) = y \ (x \ y). T((x \ y) / y,z) * y = (T(1 / x,z) * x) * (x \ y). ((x * y) * z) * K(y * z,R(x,y,z)) != u * w | u \ ((y * z) * R(x,y,z)) = w. 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). L(L(T(x \ 1,y),x,z),z * x,1 / (z * x)) = T((1 / (z * x)) * z,y). x * y != L(T((z \ 1) \ u,w),z \ 1,z) | x \ T(z * u,w) = y. x \ T(x * y,z) = (x \ 1) * T((x \ 1) \ y,z). (x \ 1) * T((x \ 1) \ y,z) = x \ T(x * y,z). R(x,T(y,x),T(z,y * x)) \ (z * (y * x)) = T(y,x) * T(z,y * x). 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 * (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) * z) \ ((x * y) * z) = R(T(y,T(x,y) * z),T(x,y),z). R(T(x,T(y,x) * z),T(y,x),z) = (T(y,x) * z) \ ((y * x) * z). T(x,y) * (x \ z) != u | (x \ z) * T((x \ z) \ z,y) = u. x != T(L(y,z,u),w) | x = L(T(y,w),z,u). T(T((x * y) / x,z),y * x) = L(T(y,z),x,y). x * R(L(T(y,x),z,u),w,w \ x) = (L(y,z,u) * w) * (w \ x). 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. R(x,1 / y,y) = T(((1 / y) * x) * y,1 / y). T(((1 / x) * y) * x,1 / x) = R(y,1 / x,x). x * R(x \ y,x,x \ z) = ((y * (x \ z)) / z) * x. ((x * (y \ z)) / z) * y = y * R(y \ x,y,y \ z). R(1 / x,x,x \ y) != z | (x \ y) / y = z. R(x,y,z) \ R(T(x,x \ 1),y,z) = a(R(x,y,z),1 / x,x). L((x \ (T(x,y) * y)) / y,y,x) = (y * K(T(x,y),y)) / y. 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). (x * (y / x)) * x != z | z = (x \ 1) \ y. (x * (y / x)) * x != z | (x \ 1) \ y = z. x * y != z * ((z \ 1) * u) | x \ L(u,z \ 1,z) = y. (1 / (1 / x)) \ L(y,x \ 1,x) = (1 / x) * y. x * ((x \ y) * z) != (y / (1 / x)) * u | (1 / x) * z = u. (x / (1 / y)) * z != y * ((y \ x) * u) | (1 / y) * u = z. T(x,L(L(x,y,z),u,w)) = x. ((x / (1 / y)) * y) * (y \ 1) = x * y. (x * y) * (y \ 1) = (x * (1 / y)) * y. (x * (1 / y)) * y = (x * y) * (y \ 1). x * y != (z * x) * (x \ 1) | T(z * (1 / x),x) = y. T(x * (1 / y),y) = y \ ((x * y) * (y \ 1)). x \ ((y * x) * (x \ 1)) = T(y * (1 / x),x). (x \ (y * (1 / x))) * x = (((1 / x) * y) * x) * (x \ 1). (((1 / x) * y) * x) * (x \ 1) = (x \ (y * (1 / x))) * x. x \ ((x \ 1) \ y) = T((x * y) * (1 / x),x). T((x * y) * (1 / x),x) = x \ ((x \ 1) \ y). T((x * y) / x,y \ 1) = T((x * y) / x,1 / y). T((x * y) / x,1 / y) = T((x * y) / x,y \ 1). 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 * R(y / z,z,u)) / x) * (z * u) = (z * u) * ((x * ((z * u) \ (y * u))) / x). (x * ((y * z) / y)) / x = (y * ((x * z) / x)) / y. ((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 / (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 * y),x) = R(T(x \ z,x * y),x,y). R(T(x \ y,x * z),x,z) = T((x * z) \ (y * z),x). (1 / x) \ T(1 / x,y) = x * T(x \ 1,y). (1 / x) \ T(y,z) = x * T(x \ ((1 / x) \ y),z). x * T(x \ ((1 / x) \ y),z) = (1 / x) \ T(y,z). 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 \ 1) \ y) * (x \ 1) = x \ T(x * y,x \ 1). x \ T(x * y,x \ 1) = ((x \ 1) \ y) * (x \ 1). (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). x \ T(x * y,x \ 1) != z | ((x \ 1) \ y) * (x \ 1) = z. 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 \ 1) / (x \ T(x,y))) * T(x,y) = T(x,y) * R(T(x,y) \ 1,T(x,y),x \ 1). T(x,y) * R(T(x,y) \ 1,T(x,y),x \ 1) = ((x \ 1) / (x \ T(x,y))) * T(x,y). (x * y) \ (y * (x \ T(x,y))) = L(x \ 1,T(x,y),y). x != T(y / z,u) * z | x = z * T(z \ y,u). T(x * (y \ 1),z) / (y \ 1) = y * T(y \ x,z). (1 / x) * T(y,z) = T(((1 / x) * y) * x,z) / x. T(((1 / x) * y) * x,z) / x = (1 / x) * T(y,z). (1 / x) * T((1 / x) \ y,z) = T(y * x,z) / x. ((1 / x) \ y) * (1 / x) = T(y * x,1 / x) / x. T(x * y,1 / y) / y = ((1 / y) \ x) * (1 / y). 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)). ((1 / x) \ y) \ ((1 / x) \ T(y,x)) = K(x \ ((1 / x) \ y),x). x != ((y \ 1) \ z) * (y \ 1) | x = (y \ 1) \ (z / y). x \ T(x * y,x \ 1) = (x \ 1) \ (y / x). x \ T(y,x \ 1) = ((x \ 1) \ (x \ y)) * (x \ 1). ((x \ 1) \ (x \ y)) * (x \ 1) = x \ T(y,x \ 1). (x \ 1) * (x \ T(x * y,x \ 1)) = 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 \ T(y,x \ 1)) / (x \ 1) = (x \ 1) \ (x \ 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). T(x \ 1,y) / (x \ 1) = x * T(x \ 1,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). ((1 / x) * T(y,z)) * x = T(((1 / x) * y) * x,z). T(((1 / x) * y) * x,z) = ((1 / x) * T(y,z)) * x. T(x,y) / x = (1 / x) * T((1 / x) \ 1,y). (1 / x) * T((1 / x) \ 1,y) = T(x,y) / x. T(x,y) / x = (1 / x) * T(x,y). (1 / x) * T(x,y) = T(x,y) / x. 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)). (T(x,y) / x) / T(x,y) = 1 / x. x != y * T(z,z \ u) | x = y * ((z \ u) \ u). T(x,x \ y) / x = (1 / x) * ((x \ y) \ y). x * y != (1 / z) * T(z,u) | (T(z,u) / z) / y = x. (T(x,y) / x) / (1 / x) = T(1 / (1 / x),y). 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. ((x \ y) / (y / x)) / (1 / (y / x)) = T(1 / (1 / (y / x)),x). T(x,1 / y) / y = ((1 / y) \ (x / y)) * (1 / y). ((1 / x) \ (y / x)) * (1 / x) = T(y,1 / x) / x. (x \ R(T(y,x \ 1),z,u)) / (x \ 1) = (x \ 1) \ (x \ R(y,z,u)). (x \ (y / (x \ 1))) * x = T(y,x) / (x \ 1). T(((1 / x) * y) * x,z) != u * x | (1 / x) * T(y,z) = u. K(x,1 / x) \ (x * (T(x,y) / x)) = L(T(x,y),1 / x,x). (x * y) * R((x * y) \ (x * z),u,w) = x * (y * R(y \ z,u,w)). (x * y) * R((x * y) \ z,u,w) = x * (y * R(y \ (x \ z),u,w)). (x * y) * L((x * y) \ z,u,w) = x * (y * L(y \ (x \ z),u,w)). (x * y) * L(T(x,x * y),z,u) = x * (y * L(T(x,y),z,u)). x != y * (z * (z \ u)) | x = y * u. K(x \ 1,x) * L(x \ y,x,x \ 1) = (x \ 1) * y. (L(x,y,z) * u) * w != v5 * (u * w) | L(R(x,u,w),y,z) = v5. L((x * y) / (z * y),u,w) * (z * y) = (L(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(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). (1 / x) \ L(L(y,x,1 / x),z,u) != x * w | L(y,z,u) = w. (1 / x) \ L(1 / x,y,z) = x * L(x \ 1,y,z). (1 / x) * (x * R(x \ y,z,u)) = R((1 / x) * y,z,u). L(L(T(x \ 1,x),x,y),y * x,1 / (y * x)) = R((1 / (y * x)) * y,x,x \ 1). (1 / x) * (x * L(x \ y,z,u)) = L((1 / x) * y,z,u). x * y != L(R((z \ 1) \ u,w,v5),z \ 1,z) | x \ R(z * u,w,v5) = y. 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). x * y != R(L(z / u,w,v5),u,u \ 1) | L(z * (u \ 1),w,v5) / y = x. L(x * (y \ 1),z,u) / (y \ 1) = L(x / y,z,u) * y. L(T(T((x \ y) \ z,u),w),x \ y,x) = T(T(y \ (x * z),u),w). 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). R(x * y,z,u) / y = R(x / (1 / y),z,u) * (1 / y). R(x / (1 / y),z,u) * (1 / y) = R(x * y,z,u) / y. (x / y) * R((x / y) \ z,x / y,y) != u | ((z * y) / x) * (x / y) = u. (x * ((y \ x) / x)) / (y \ x) = ((x * (1 / y)) / x) * y. x != R(y / (z / u),z / u,u) | x = (y * u) / z. ((x / y) * (y / ((x / y) * y))) / (x / y) = (((x / y) * (1 / (x / y))) * y) / x. ((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). (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 != R((z \ u) \ u,w,v5) | x \ R(T(z,z \ u),w,v5) = y. x \ R(T(y,y \ z),u,w) = x \ R((y \ z) \ z,u,w). (x * y) * T((x * y) \ (x * z),u) != w | x * (y * T(y \ z,u)) = w. (x / y) \ (x * T(x \ (x / y),z)) = y * T(y \ 1,z). (x / y) \ (x * T(x \ (x / y),z)) != u | u = y * T(y \ 1,z). (x / y) \ (x * T(x \ (x / y),z)) != u | y * T(y \ 1,z) = u. (x / y) * K(y \ 1,y) = x * T(x \ (x / y),y). 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 != (y \ (z * (1 / y))) * y | x = y \ z. (((1 / x) * y) * x) * (x \ 1) = x \ y. x * y != (z \ (u * (1 / z))) * z | (z \ u) / y = x. (x \ y) / (x \ 1) = ((1 / x) * y) * x. (x * y) * (y \ 1) = y \ ((1 / y) \ x). x \ ((1 / x) \ y) = (y * x) * (x \ 1). x != (y * z) * (z \ 1) | x = R(y,z,z \ 1). x \ ((1 / x) \ y) = R(y,x,x \ 1). x * ((y * x) * (x \ 1)) = (1 / x) \ y. T(x,T(x,y) \ 1) = T(x,1 / T(x,y)). T(x,1 / T(x,y)) = T(x,T(x,y) \ 1). (x \ 1) * L((x \ 1) \ 1,y,z) = x \ L(x,y,z). (1 / x) * (x * R(x \ 1,y,z)) = R(1 / x,y,z). (1 / x) * (((y * (x \ z)) / z) * x) = R((1 / x) * y,x,x \ 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) \ R(1 / x,y,z) != u | u = x * R(x \ 1,y,z). (1 / x) \ R(1 / x,y,z) != u | x * R(x \ 1,y,z) = u. (1 / x) * ((y / (x * y)) * x) = R(1 / x,x,y). x * y != R(1 / z,z,z \ u) | ((z \ u) / u) / y = x. ((x \ y) / y) / (((x \ y) / (x * (x \ y))) * x) = 1 / x. x * y != R(1 / z,z,u) | (u / (z * u)) / y = x. (x / (y * x)) / ((x / (y * x)) * y) = 1 / y. 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). (1 / x) * (L(y,z,u) * x) = L((1 / x) * (y * x),z,u). L((1 / x) * (y * x),z,u) = (1 / x) * (L(y,z,u) * x). (x \ 1) * R((x \ 1) \ 1,y,z) = x \ R(x,y,z). (x \ 1) * R(T(y,x \ 1),z,u) = x \ R(x * (y * (x \ 1)),z,u). x \ R(x * (y * (x \ 1)),z,u) = (x \ 1) * R(T(y,x \ 1),z,u). 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) | x \ (z \ R(z,u,w)) = y. R(x,y,z) \ (x \ R(x,y,z)) = x \ 1. x * (y \ 1) != y \ z | x = ((1 / y) * z) * y. R(x,y,z) = ((1 / x) * R(x,y,z)) * x. ((1 / x) * R(x,y,z)) * x = R(x,y,z). 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 \ R(x,y,z)) * K(x \ 1,R(x,y,z)) = (x \ 1) * R(x,y,z). ((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). 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) = 1 / x. 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). (1 / x) * R(x,y,z) != u | u = R(x,y,z) / x. (1 / x) * R(x,y,z) != u | R(x,y,z) / 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. 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). (1 / x) * R((1 / x) \ y,z,u) = R(y * x,z,u) / x. x != ((y * (z / u)) / y) * u | x = u * ((y * (u \ z)) / y). (x * ((y \ x) / x)) / (y \ x) = y * ((x * (y \ 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 * T(x \ 1,y) != z | K(y \ (y / x),y) = z. 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). (x \ y) \ K(y \ x,y) = T((x \ y) \ 1,y). 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(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)). T(x,y) / x != z | z = K(y \ (y / (1 / x)),y). T(x,y) / x != z | K(y \ (y / (1 / x)),y) = z. ((x * y) \ x) \ K(y,x) = T(((x * y) \ x) \ 1,x). T(((x * y) \ x) \ 1,x) = ((x * y) \ x) \ K(y,x). 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 != ((y * z) \ y) \ u | x = L(z \ 1,z,y) \ u. T(((x * y) \ x) \ 1,x) = L(y \ 1,y,x) \ K(y,x). ((x * y) \ x) * T(((x * y) \ x) \ 1,x) = K(y,x). K(x,y) = ((y * x) \ y) * T(((y * x) \ y) \ 1,y). T(L(x \ 1,x,y) \ 1,y) = ((y * x) \ y) \ K(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) \ K(y,x)) / (L(y \ 1,y,x) \ 1) = L(y \ 1,y,x) * T(L(y \ 1,y,x) \ 1,x). ((x \ 1) * x) * (x \ y) = y * T(y \ (x \ y),x). (x * T(x \ 1,y)) * (x \ z) = z * T(z \ (x \ z),y). K(x \ 1,x) * (x \ y) = y * T(y \ (x \ y),x). ((x \ y) / y) / (((x \ y) / y) * x) = 1 / x. (1 / x) \ ((x \ y) / y) = ((x \ y) / y) * x. L(x * y,z,u) / ((1 / y) \ 1) = (1 / y) * L((1 / y) \ x,z,u). (1 / x) * R((1 / x) \ 1,y,z) = R(x,y,z) / x. T((x * y) / x,K(x \ (x / (((x * y) / x) \ 1)),x)) != z | (((x * y) / x) \ y) \ 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 \ T(x,y)) * ((x \ 1) \ z) = z * T(z \ ((x \ 1) \ z),y). ((x \ 1) * L((x \ 1) \ y,z,u)) * T(x,x \ 1) = R(L(y / (x \ 1),z,u),x \ 1,(x \ 1) \ 1). 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) / (R(x,y,z) * (x \ u)) = x. R(x,y,z) * u = x * (R(x,y,z) * (x \ u)). x * (R(x,y,z) * (x \ u)) = 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 * 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) * u) \ (x * (R(x,y,z) * u)) = L(T(x,u),u,R(x,y,z)). (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). x * y != R(z,u,x) * (u * x) | T(z * u,x) = y. T(x * y,x) = R(x,y,x) * T(y,x). R(x,y,x) * T(y,x) = T(x * y,x). 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). x * L(x \ (x / y),z,u) = (x / y) * (y * L(y \ 1,z,u)). (x / y) * (y * L(y \ 1,z,u)) = x * L(x \ (x / y),z,u). x * L(x \ ((x / y) * z),u,w) = (x / y) * (y * L(y \ z,u,w)). (x / y) * (y * L(y \ z,u,w)) = x * L(x \ ((x / y) * z),u,w). 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 != R(R(y,z,u),w,v5) * (z * u) | x = (R(y,w,v5) * z) * u. (x * y) * R(T(y,x),z,u) = (R(y,z,u) * x) * y. (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) * T((x * y) \ (y * z),u) = y * (T(x,y) * T(T(x,y) \ z,u)). (x / y) \ T(x,(x / y) \ 1) != z | (((x / y) \ 1) \ y) * ((x / y) \ 1) = z. (x \ 1) \ (y / x) != z | ((x \ 1) \ y) * (x \ 1) = z. ((x * y) * (z * u)) / ((y * z) * L(u,z,x * y)) = R(R(x,y,z),y * z,L(u,z,x * y)). x * L(T(T((y \ x) \ x,z),u),y \ x,y) = y * (T(T(y,z),u) * (y \ x)). ((((x * y) / x) \ z) \ z) * x != x * u | T(y,((x * y) / x) \ z) = u. ((x \ 1) * y) * (x * x) = (x \ (y / (x \ 1))) * x. (x \ (y / (x \ 1))) * x = ((x \ 1) * y) * (x * x). (x * y) * R((x * y) \ (x * z),u,w) != v5 | x * (y * R(y \ z,u,w)) = v5. (x * y) * T((x * y) \ (z * y),u) = (T(z / x,u) * 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 / (1 / x))) * x. (1 / (1 / (1 / x))) * x = x * (1 / x). ((x * (y / (y / T(z,x)))) / x) \ ((y / T(z,x)) * z) = y / T(z,x). (((x * y) \ y) / (y / (x * y))) / (1 / (y / (x * y))) = T(1 / (1 / R(1 / x,x,y)),x * y). 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). x \ (L(x,y,z) * u) = L(x,y,z) * (x \ u). 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 * (u * (u \ w)) | x \ (z * w) = y. L(x,y,z) \ (x * u) = x * (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. 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,z) * u) \ (x * (L(x,y,z) * u)) = L(T(x,u),u,L(x,y,z)). ((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). 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). L(x \ 1,y,z) \ K(x \ 1,x) = (x \ 1) * (L(x \ 1,y,z) \ x). x \ (y * T(y \ (x * z),u)) = (x \ y) * T((x \ y) \ z,u). x * ((x \ y) * T((x \ y) \ 1,z)) = y * T(y \ x,z). x * (T(x,y) * (x \ z)) = z * T(z \ (x * z),y). x * T(x \ (y * x),z) = y * (T(y,z) * (y \ x)). T(x,y) * z = x * (T(x,y) * (x \ z)). x * (T(x,y) * (x \ z)) = T(x,y) * z. x \ (T(x,y) * z) = T(x,y) * (x \ z). x * y != z * T(z \ (u * z),w) | (T(u,w) * z) / y = x. (T(x,y) * z) / (T(x,y) * (x \ z)) = x. x * y != T(z,u) * T(z,w) | x \ (T(z,w) * T(z,u)) = y. x \ (T(x,y) * T(x,z)) = T(x,z) * (x \ T(x,y)). x * y != z * (z \ u) | x \ u = y. x \ y = T(x,z) * (x \ (T(x,z) \ y)). T(x,y) * (x \ (T(x,y) \ z)) = x \ z. x * (T(x,y) * z) = T(x,y) * (x * z). T(x,y) * (x * z) = x * (T(x,y) * z). T(x,y) * z != x * u | T(x,y) * (x \ z) = u. x * (T(x,y) * T(z,x)) = T(x,y) * (z * x). (x / y) * (T(x / y,z) * y) = T(x / y,z) * x. x \ (T(x,y) * z) != u | u = T(x,y) * (x \ z). x \ (T(x,y) * z) != u | T(x,y) * (x \ z) = u. T(x,y) \ 1 = x \ (T(x,y) \ x). x \ (T(x,y) \ x) = T(x,y) \ 1. x \ (T(x,x \ y) * z) = ((x \ y) \ y) * (x \ z). L((T(x,y) * (x \ y)) / y,y,x) = (y * K(T(x,y),y)) / y. x * (T(x,y) \ 1) = T(x,y) \ x. (T(x,y) \ x) / (T(x,y) \ 1) = x. x * (T(x,y) \ 1) != z | z = T(x,y) \ x. x * (T(x,y) \ 1) != z | T(x,y) \ x = z. x * y != z * (T(z,u) \ 1) | (T(z,u) \ z) / y = x. (T(x,y) \ x) / T(x,T(x,y) \ 1) = T(x,y) \ 1. x * y != (T(z,u) \ z) / (T(z,u) \ 1) | z / y = x. x / T(x,y) = (1 / T(x,y)) * x. (1 / T(x,y)) * x = x / T(x,y). (T(x,y) \ T(x,z)) / (T(x,y) \ 1) = T(x,z). x * y != x / T(x,z) | T(1 / T(x,z),x) = y. T(1 / T(x,y),x) = x \ (x / T(x,y)). T(x,y) \ (x \ z) = x \ (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). T(x,y) \ (x * z) = x * (T(x,y) \ z). (x \ y) * ((y / x) * z) = (y / x) * (T(y / x,x) * z). (x / y) * (T(x / y,y) * z) = (y \ x) * ((x / y) * z). x != T(y,z) | x = K(z \ (z / (1 / y)),z) * y. x \ (x / T(x,y)) = K(x \ (x / (1 / (1 / T(x,y)))),x) * (1 / T(x,y)). K(x \ (x / (1 / (1 / T(x,y)))),x) * (1 / T(x,y)) = x \ (x / T(x,y)). (x \ (x / T(x,y))) * T(x,y) = T(x,y) * T(T(x,y) \ 1,x). T(x,y) * T(T(x,y) \ 1,x) = (x \ (x / T(x,y))) * T(x,y). 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. T(x,T(y,x)) = y * (T(y,x) \ x). x * (T(x,y) \ y) = T(y,T(x,y)). x * y != z * (1 / z) | x \ K(z,1 / z) = y. T(x,y) \ K(x,1 / x) = x * (T(x,y) \ (1 / x)). 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)). 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)). x * y != (T(z,u) \ T(z,w)) / (T(z,u) \ 1) | T(z,w) / y = x. T(x,y) / T(x,z) = (1 / T(x,z)) * T(x,y). (1 / T(x,y)) * T(x,z) = T(x,z) / 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 * (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)). T(x,y) * z != T(x,y) / T(x,u) | T(1 / T(x,u),T(x,y)) = z. T(1 / T(x,y),T(x,z)) = T(x,z) \ (T(x,z) / T(x,y)). T(x,y) \ (T(x,y) / T(x,z)) = T(1 / T(x,z),T(x,y)). (T(x,y) / T(x,z)) / T(x,y) = 1 / T(x,z). (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). ((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) \ T(y,x) = T((y * x) / y,x \ y). T((x * y) / x,y \ x) = (y \ x) \ T(x,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,x / y) = ((x * (x / y)) / x) * y. ((x * (x / y)) / x) * y = T(x,x / y). 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)). T(T(x,y) / (z * (y \ x)),z) = R(z \ ((x * y) / x),z,y \ x). R(x \ ((y * z) / y),x,z \ y) = T(T(y,z) / (x * (z \ y)),x). T(x * y,x) / y = ((x * y) * x) / (x * y). ((x * y) * x) / (x * y) = T(x * y,x) / y. (x \ y) \ K(T(y,x) \ ((y * x) / y),T(y,x)) = T((x \ y) \ 1,T(y,x)). x * ((y * (x \ y)) / y) = T(y,y / x). x * y != ((z * (z / u)) / z) * u | x \ T(z,z / u) = y. x \ T(y,y / x) = (y * (x \ y)) / y. T(x,x / y) != z | y * ((x * (y \ x)) / 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 * ((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)) / y) != z * u | z \ T(y,y / x) = u. T((x \ y) \ T(y,x),y) = T(x,x \ y). T((x \ y) \ T(y,x),x * y) = L(T(x,x \ y),y,x). x != T(y,y \ z) | x = (y \ z) \ z. T((x \ y) \ T(y,x),y) = (x \ y) \ y. 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(T(x * y,x) / y,x * y) = x. T(T(x * y,x) / y,y) = R(x,y,T(x,y)). T(T(R(x,y,y \ 1),x * y) / (y \ 1),(x * y) * (y \ 1)) = x * y. x \ T(y * x,y) = R(y,x,T(y,x)). x * R(y,x,T(y,x)) = T(y * x,y). R(x,y,T(x,y)) != z | y \ T(x * y,x) = z. L(R(x,y,T(x,y)),y,x) = x. (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,y) \ K(x,1 / x) != z | x * (T(x,y) \ (1 / x)) = z. T(x,T(y,x)) != z | y * (T(y,x) \ x) = z. T(x,y) * (x \ T(x,z)) != u | T(x,z) * (x \ T(x,y)) = u. (x / y) * (y * T(y \ x,z)) = T(x / y,z) * x. x \ (((x \ y) \ y) * z) = ((x \ y) \ y) * (x \ z). x * T(1 / x,T(x,y)) = K(x,T(x,y) / x). T(x,T(x,y) \ 1) / T(x,y) = x * (1 / T(x,y)). T(x / y,z) * u != (x / y) * (y * T(y \ x,z)) | u = x. x * (y * ((x \ y) / y)) = T(y,y / (x * y)). T(x,x / (y * x)) != z | y * (x * ((y \ x) / 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 * y != z * T(u,z) | x \ (u * z) = y. x \ ((y \ x) * y) = (x \ y) * T((x \ y) \ 1,y). (x \ y) * T((x \ y) \ 1,y) = x \ ((y \ x) * y). 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). 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 != (1 / y) * T((1 / y) \ z,u) | x = T(z * y,u) / y. x * K(y \ (y / (x \ (1 / z))),y) = T(x * z,y) / z. T(x * y,z) / y = x * K(z \ (z / (x \ (1 / y))),z). 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 * 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 / (y \ (y / z))),x) = y \ ((y / z) * T(z,x)). (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 / (x / y)) * (y * z) = ((x / y) \ x) * ((x / (x / y)) * z). ((x / y) \ x) * ((x / (x / y)) * z) = (x / (x / y)) * (y * z). (x \ y) \ ((y / x) * z) = (y / x) * ((x \ y) \ z). (x \ y) \ z = (y / x) * ((x \ y) \ ((y / x) \ z)). (x / y) * ((y \ x) \ ((x / y) \ z)) = (y \ x) \ z. (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). K(x,1 / x) = (x \ 1) \ (1 / x). (x \ 1) \ (1 / x) = K(x,1 / x). (x \ 1) * K(x,1 / x) = 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). K(T(1 / T(x,y),T(x,z)),T(x,z)) / T(x,y) = T(1 / T(x,y),T(x,z)). 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. (x * y) * K(L(y \ 1,y,x) \ 1,L(y \ 1,y,x)) = x * T(y,L(y \ 1,y,x)). (1 / x) \ ((y * (1 / x)) / y) = x * ((y * (x \ 1)) / y). (x * y) * T((x * y) \ (z * y),u) = (x * T(x \ z,u)) * y. x \ (y * T(x,z)) = (x \ y) * T((x \ y) \ T(y,x),z). (x \ y) * T((x \ y) \ T(y,x),z) = x \ (y * T(x,z)). 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 * (((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) = ((y * x) / y) * (x \ 1). ((x * y) / x) * (y \ 1) = y \ ((x * y) / x). ((x * y) / x) \ (y * z) = y * (((x * y) / x) \ z). (x \ ((y * x) / y)) / (x \ 1) = (y * x) / y. x * y != (z \ ((u * z) / u)) / (z \ 1) | ((u * z) / u) / y = x. ((x * y) / x) / y = (1 / 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). 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 * ((y / (y / x)) * z) = (y / (y / x)) * (x * z). (x / (x / y)) * (y * z) = y * ((x / (x / y)) * z). (x / (x / y)) \ (y * z) = y * ((x / (x / y)) \ z). K(x * y,z / (z / x)) = (x * ((z / (z / x)) * y)) \ ((x * y) * (z / (z / x))). (x * ((y / (y / x)) * z)) \ ((x * z) * (y / (y / x))) = K(x * z,y / (y / x)). x != (y * z) * T((y * z) \ u,w) | x = y * (z * T(z \ (y \ u),w)). (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 != (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 * y) * T((x * y) \ y,z) = (x * T(x \ 1,z)) * y. 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 != 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). x \ T(x * T(y,z),x) = T(x \ T(x * y,x),z). (x * T(x \ 1,y)) * z = x * (z * T(z \ (x \ z),y)). x * (y * T(y \ (x \ y),z)) = (x * T(x \ 1,z)) * y. (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,y,z) * (x * T(x \ 1,u))) / R(x,y,z) = x * T(x \ 1,u). 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). R(x,x \ 1,x) = (x \ 1) \ 1. R(T(x,y),x \ 1,x) = T(T(x,x \ 1),y). x != R(y,y \ 1,y) | x = y / K(y \ 1,y). (x \ 1) \ 1 = x / K(x \ 1,x). x / K(x \ 1,x) = (x \ 1) \ 1. T(x \ T(x,y),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 \ 1) \ 1) * K(x \ 1,x) = x. T(x,x \ 1) * K(x \ 1,x) = x. R(x \ 1,T(x,y),x \ 1) = T(x \ 1,T(x,y)). x != y * K(y \ 1,y) | x = 1 / (1 / y). K(x \ 1,x) * x = 1 / (1 / 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). 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. T((x * y) \ x,K(y,z)) = L(y \ 1,y,x). x != L(y \ 1,y,z) | x = (z * y) \ z. T((x * y) \ x,K(y,z)) = (x * y) \ x. T(K(x,y),(z * x) \ z) = K(x,y). T(K(x \ 1,y),x) = K(x \ 1,y). x * K(x \ 1,y) = K(x \ 1,y) * x. K(x \ 1,y) * x = x * K(x \ 1,y). x * ((y \ (x \ y)) * y) = (x * T(x \ 1,y)) * y. (x * T(x \ 1,y)) * y = x * ((y \ (x \ y)) * y). (x \ 1) * ((x \ T(x,y)) * ((x \ 1) \ z)) = ((x \ 1) * T((x \ 1) \ 1,y)) * z. x * T(y * T(y \ 1,x),x) = y * ((x \ (y \ x)) * x). x * ((y \ z) * T((y \ z) \ (x \ z),u)) = (x * T(x \ y,u)) * (y \ z). x * (y * T(y \ (x \ z),u)) = (x * T(x \ (z / y),u)) * y. (x * T(x \ (y / z),u)) * z = x * (z * T(z \ (x \ y),u)). (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 \ (y / z)) * x) * z = x * (z * T(z \ (x \ y),x)). x * (y * T(y \ (x \ z),x)) = ((x \ (z / y)) * x) * y. (T((x / y) / z,u) * z) * y = z * (y * T(y \ (z \ x),u)). ((x / y) * K(y \ 1,y)) * y = x * (y * T(y \ (x \ x),y)). x != y * (z * T(z \ (y \ u),w)) | x = (y * z) * T((y * z) \ u,w). ((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,x)) = ((x \ ((x * z) / y)) * x) * y. ((x \ ((x * y) / z)) * x) * z = x * (z * T(z \ y,x)). x * (y * T(y \ 1,x)) = ((x \ (x / y)) * x) * y. ((x \ (x / y)) * x) * y = x * (y * T(y \ 1,x)). 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 \ 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 = x * (x * T(x \ T(y,x),x)). x * (x * T(x \ T(y,x),x)) = ((x \ y) * x) * x. x * ((x \ T(y,x)) * x) = ((x \ y) * x) * x. T((x \ y) * x,x) = (x \ T(y,x)) * 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) / 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 / x) * T(y,x)) = T(x * ((1 / x) * y),x). T(x * ((1 / x) * y),x) = x * ((1 / x) * T(y,x)). x * y != z * (T(u,z) / z) | x \ T(z * (u / z),z) = y. x \ T(x * (y / x),x) = T(y,x) / x. x \ T(x * T((x * y) / x,z),x) = T(x * T(y,z),x) / x. x \ T(x * L((x * y) / x,z,u),x) = T(x * L(y,z,u),x) / x. x \ T(x * T(y / x,z),x) = T(T(y,x) / x,z). T(x * y,x) \ T(y * x,x) = K(x \ T(x * y,x),x). x != y * (z * T(z \ (y \ (u * z)),w)) | x = (y * T(y \ u,w)) * z. T(x * ((1 / x) * ((1 / x) \ (x \ (y * (1 / x))))),x) = (x * T(x \ y,x)) * (1 / x). 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 \ 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. ((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). (K(x \ 1,x) * y) \ (x * (K(x \ 1,x) * y)) = L(T(x,y),y,K(x \ 1,x)). ((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 != 1 * (z * y) | x = z. (1 / x) * K(x \ 1,x) = x \ 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). (1 / x) * ((x \ 1) * x) = x \ 1. (1 / x) \ (x \ 1) != y | y = K(x \ 1,x). (1 / x) \ (x \ 1) != y | K(x \ 1,x) = y. L(x \ 1,y,z) = (1 / x) * (L(x \ 1,y,z) * x). (1 / x) * (L(x \ 1,y,z) * x) = L(x \ 1,y,z). (1 / x) * (L(x \ 1,x,y) * x) = (y * x) \ y. (x * y) \ x = (1 / y) * (L(y \ 1,y,x) * y). x * y != L((z \ u) \ 1,z \ u,z) | x \ (u \ z) = y. (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 * y) \ x = (1 / y) * (((x * y) \ x) * y). (1 / x) * (((y * x) \ y) * x) = (y * x) \ y. (1 / x) \ ((y * x) \ y) = ((y * x) \ y) * x. ((1 / x) * T((1 / x) \ 1,(y * x) \ y)) * ((y * x) \ y) = (1 / x) * ((((y * x) \ y) \ (((y * x) \ y) * x)) * ((y * x) \ y)). (1 / x) * ((((y * x) \ y) \ (((y * x) \ y) * x)) * ((y * x) \ y)) = ((1 / x) * T((1 / x) \ 1,(y * x) \ y)) * ((y * x) \ y). 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 * x) * ((x * z) \ x) | y = K(x \ (x * z),x). K(x,y) = K(y \ (y * x),y). K(x \ (x * y),x) = K(y,x). (x * y) * L(x \ 1,x,y) = y * K(x,y). K(x,y) = K(z \ (z * x),y). K(x \ (x * y),z) = K(y,z). K((x / y) \ x,z) = K(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). (L(x,y,z) * (z * y)) \ (x * (z * y)) = a(z,y,T(x,z * y)). (L(x,y \ z,y) * z) \ (x * (y * (y \ z))) = a(y,y \ z,T(x,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). 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 * L(R(T(y,x),z,z \ x),u,w) = (L(y,u,w) * z) * (z \ x). K(x \ (x / y),x) != z | y * T(y \ 1,x) = z. T(x,y) / x != z | (1 / x) * T((1 / x) \ 1,y) = z. (1 / x) * ((T(y,x) / y) * x) = R((1 / x) * ((y * x) / y),x,x \ y). R((1 / x) * ((y * x) / y),x,x \ y) = (1 / x) * ((T(y,x) / 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). (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 * z) | x = z. (1 / ((x * y) \ x)) * ((x \ (x * y)) * ((x * y) \ x)) = y. ((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). (1 / ((x * y) \ x)) * (y * ((x * y) \ x)) = y. 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). (x * L(x \ 1,y,z)) * (x \ u) = u * L(u \ (x \ u),y,z). (x * L(x \ (y \ x),z,u)) / (y \ x) = y * L(y \ 1,z,u). (((x * y) * z) * L(((x * y) * z) \ (y * z),u,w)) / (R(x,y,z) \ ((x * y) * z)) = R(x,y,z) * L(R(x,y,z) \ 1,u,w). ((x \ (y / (x \ z))) * x) * (x \ z) = T(y / z,x) * z. ((x \ (y / (x \ z))) * x) * (x \ z) = z * T(z \ y,x). ((x \ y) * x) * (x \ z) = z * T(z \ (y * (x \ z)),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(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 / L(y,z,u)) * y) \ (x * y) = L(y,z,u). x / L(x,y,z) = (1 / L(x,y,z)) * x. (1 / L(x,y,z)) * x = x / L(x,y,z). x != (y * (y \ 1)) * z | x = z. (x * L(x \ 1,y,z)) * (x \ 1) = L(x \ 1,y,z). (x * L(y,z,u)) \ ((x * y) * L(y,z,u)) = y. (x * L(y,z,u)) / y = (x / y) * L(y,z,u). x * y != ((1 / z) * z) * u | u / y = x. L(x,y,z) / x = (1 / x) * L(x,y,z). (1 / x) * L(x,y,z) = L(x,y,z) / x. x * y != (z * L(u,w,v5)) * u | x \ ((z * u) * L(u,w,v5)) = y. (x * (y * L(x,z,u))) \ ((y * x) * L(x,z,u)) = K(y * L(x,z,u),x). ((x * y) * L(y,z,u)) \ (y * (x * L(y,z,u))) != w | K(y,x * L(y,z,u)) = w. 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 / L(x,y,z)) / x = 1 / L(x,y,z). (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). (1 / L(x,y,z)) * x != u | u = x / L(x,y,z). (1 / L(x,y,z)) * x != u | x / L(x,y,z) = u. (x * y) / L(y,z,u) != w | w = (x / L(y,z,u)) * y. (x * y) / L(y,z,u) != w | (x / L(y,z,u)) * y = w. ((x * y) * z) \ ((x * (y * z)) * z) = L(z,y,x). L(x,y,z) = ((z * y) * x) \ ((z * (y * x)) * x). 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). (x * (y * z)) / z = ((x * y) / z) * L(z,y,x). ((x * y) / z) * L(z,y,x) = (x * (y * z)) / z. T(x \ (x / L(x,y,z)),L(x,y,z)) = T(L(x,y,z) \ 1,x). (x * L(y,z,u)) * T(y,x) = (y * x) * L(y,z,u). ((x * y) * L(x,z,u)) / T(x,y) = y * L(x,z,u). (x * y) / L(z,y,R(x,y,z)) = (R(x,y,z) * y) / z. 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 * ((y * x) \ y)) * (x \ 1) = L(x \ 1,x,y). (x * ((y * x) \ y)) * (x \ 1) = (y * x) \ y. 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) \ x) * z != (y \ 1) * (y * ((x * y) \ x)) | K(y \ 1,y * ((x * y) \ x)) = z. T(x,y) * z != (x * y) * L(x,u,w) | T(y * L(x,u,w),T(x,y)) = z. T(x * L(y,z,u),T(y,x)) = T(y,x) \ ((y * x) * L(y,z,u)). T(x,y) \ ((x * y) * L(x,z,u)) = T(y * L(x,z,u),T(x,y)). x * y != (z * (z \ u)) * w | (u * w) / y = x. (x * L(y,z,u)) / T(y,y \ x) = (y \ x) * L(y,z,u). ((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). T(1 / x,(y / (x * y)) * x) != z | L(x \ 1,x,y / (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). x \ R(x * (x \ T(y,x \ 1)),z,u) = R((x \ 1) \ (x \ y),z,u) * (x \ 1). 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(x,R(x,y,z) * u) = L(T(x,u),u,R(x,y,z)). L(T(x,y),y,R(x,z,u)) = T(x,R(x,z,u) * y). x \ (y * L(y \ (x * z),u,w)) = (x \ y) * L((x \ y) \ z,u,w). (x / y) * (y * L(y \ ((x / y) \ z),u,w)) = x * L(x \ z,u,w). x \ (y * R(y \ (x * z),u,w)) = (x \ y) * R((x \ y) \ z,u,w). (x / y) \ (x * ((z * (x \ (x / y))) / z)) = y * ((z * (y \ 1)) / z). ((x * (1 / (1 / T(y,x)))) / x) \ (y / T(y,x)) = 1 / T(y,x). 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,L(y,z,u) * x) = L(y,x,L(y,z,u)) * x. T((x * y) / x,L(y,z,u) * x) = L(y,x,L(y,z,u)). (((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. T(x,R(1 / y,y,x)) / x = (1 / y) \ ((x * (1 / y)) / x). (1 / x) \ ((y * (1 / x)) / y) = T(y,R(1 / x,x,y)) / y. 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 != (1 / y) \ ((z * (1 / y)) / z) | x = y * ((z * (y \ 1)) / z). T(x,R(1 / y,y,x)) / x = y * ((x * (y \ 1)) / 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)). 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 \ (T(x,y) \ ((x \ z) \ z)) = ((x \ z) \ z) * (x \ (T(x,y) \ 1)). ((x \ y) \ y) * (x \ (T(x,z) \ 1)) = x \ (T(x,z) \ ((x \ y) \ y)). (x * (R(x,y,z) * T(x \ 1,u))) / R(x,y,z) = x * T(x \ 1,u). 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). (x * y) * L((x * y) \ z,u,w) = (L((z / y) / x,u,w) * x) * y. (L((x / y) / z,u,w) * z) * y = (z * y) * L((z * y) \ x,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)). x \ (y * L(y \ z,u,w)) = (x \ y) * L((x \ y) \ (x \ z),u,w). (x \ y) * L((x \ y) \ (x \ z),u,w) = x \ (y * L(y \ z,u,w)). 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 * 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)). L(x,y,z) * R(((z * y) \ (z * (y * x))) \ 1,u,w) = (z * y) \ ((z * (y * x)) * R((z * (y * x)) \ (z * y),u,w)). (x * y) \ ((x * (y * z)) * R((x * (y * z)) \ (x * y),u,w)) = L(z,y,x) * R(((x * y) \ (x * (y * z))) \ 1,u,w). T(x,y) * R((y \ (x * y)) \ 1,z,u) = y \ ((x * y) * R((x * y) \ y,z,u)). x \ ((y * x) * R((y * x) \ x,z,u)) = T(y,x) * R((x \ (y * x)) \ 1,z,u). (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. 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(R(x,y,z),1 / x) = x * ((R(x,y,z) * (x \ 1)) / R(x,y,z)). x * ((R(x,y,z) * (x \ 1)) / R(x,y,z)) = K(R(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)). 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). x * (((x \ 1) * T((x \ 1) \ 1,y)) / T(x,y)) = K(T(x,y),1 / x). x * ((x \ R(x,y,z)) / R(x,y,z)) = K(R(x,y,z),1 / x). (x * ((x \ 1) * R(x,y,z))) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). x != (y * z) * L((y * z) \ u,w,v5) | x = y * (z * L(z \ (y \ u),w,v5)). (L((x / y) / z,u,w) * z) * y = z * (y * L(y \ (z \ x),u,w)). T(x,y) * L((y \ (x * y)) \ (y \ z),u,w) = y \ ((x * y) * L((x * y) \ z,u,w)). (x * L(x \ (y / z),u,w)) * z = x * (z * L(z \ (x \ y),u,w)). (x * (y * L(y \ (x \ z),u,w))) / y = x * L(x \ (z / y),u,w). x * y != (z / u) * (u * L(u \ ((z / u) \ w),v5,v6)) | (z * L(z \ w,v5,v6)) / y = x. (x * L(x \ y,z,u)) / w = (x / w) * L((x / w) \ (y / w),z,u). (x / y) * L((x / y) \ (z / y),u,w) = (x * L(x \ z,u,w)) / y. (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 * L(x \ 1,y,z)) * u = x * (u * L(u \ (x \ u),y,z)). x * (y * L(y \ (x \ y),z,u)) = (x * L(x \ 1,z,u)) * y. x \ (y * (x * L(x \ (y \ z),u,w))) != v5 | T(y * L(y \ (z / x),u,w),x) = v5. x != y * (z * L(z \ (y \ u),w,v5)) | x = (y * z) * L((y * z) \ u,w,v5). (x * L(x \ 1,y,z)) * u = (x * u) * L((x * u) \ u,y,z). (x * y) * L((x * y) \ y,z,u) = (x * L(x \ 1,z,u)) * y. x * ((x * y) * L((x * y) \ y,z,u)) = (x * L(x \ 1,z,u)) * (x * y). (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. x * y != (z * x) * L((z * x) \ x,u,w) | T(z * L(z \ 1,u,w),x) = y. 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 \ y,(x \ y) * (y \ x)) = x \ y. T(x \ 1,x \ L(x,y,z)) = x \ 1. T(1 / x,L(x,y,z) / x) = 1 / x. T(x \ 1,L(x,y,z) * (x \ 1)) = x \ 1. (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. R(x \ 1,L(x,y,z),x \ 1) = T(x \ 1,L(x,y,z)). x != y * L(y \ (y / z),u,w) | x = (y / z) * (z * L(z \ 1,u,w)). (x * (y * L(y \ (x \ x),z,u))) / y = (x / y) * (y * L(y \ 1,z,u)). 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 * y) * (y * L(y \ 1,z,u)) = ((x * y) * L((x * y) \ x,z,u)) * y. ((x * y) * L((x * y) \ x,z,u)) * y = (x * y) * (y * L(y \ 1,z,u)). 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). 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. ((T(x,y) * (x \ 1)) * x) * L(z,(x \ 1) * x,T(T(x,x \ 1),y)) = R(T(x,y),x \ 1,x) * (((x \ 1) * x) * z). ((x * (y * (z \ 1))) / x) / (z \ 1) = z * ((x * (z \ y)) / x). ((x * (y * ((1 / z) \ 1))) / x) / z = (1 / z) * ((x * ((1 / z) \ y)) / x). T(R(T(x,x * y),y,y \ 1) / (y \ 1),(x * y) * (y \ 1)) = x * y. 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 * (1 / (1 / x)))) \ ((y * x) * L(x,x \ 1,x)) = K(y * L(x,x \ 1,x),x). (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))). 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)). T(T(x,x * y) * y,(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). (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))). (x * y) * T((x * y) \ y,z) = y * (T(x,y) * T(T(x,y) \ 1,z)). x * (T(y,x) * T(T(y,x) \ 1,z)) = (y * x) * T((y * x) \ x,z). x * y != (z * x) * T((z * x) \ x,u) | T(z * T(z \ 1,u),x) = 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). 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). T(x,y) \ T(x * T(x \ 1,z),y) = T(T(x,y) \ 1,z). x != T(y,z) * T(T(y,z) \ 1,y) | x = (y \ (y / T(y,z))) * T(y,z). T(x * T(x \ 1,x),y) = (x \ (x / T(x,y))) * T(x,y). (x \ (x / T(x,y))) * T(x,y) = T(x * T(x \ 1,x),y). T(x * T(x \ 1,T(x,y)),y) != z * T(x,y) | z = T(x,y) \ 1. T(x * T(x \ 1,T(x,y)),y) != z * T(x,y) | T(x,y) \ 1 = z. 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). K(x \ (x / ((L(y \ 1,y,x) \ z) \ z)),x) = T(K(y,x),L(y \ 1,y,x) \ z). T(K(x,y),L(x \ 1,x,y) \ z) = K(y \ (y / ((L(x \ 1,x,y) \ z) \ z)),y). 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). (x \ (x / T(x,y))) * T(x,y) = T(K(x \ 1,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. T(x \ T(x,y),T(x,z) \ 1) = x \ T(x,y). K(x \ T(x,y),T(x,z) \ 1) = 1. ((1 * x) / y) * (y / x) = (1 / (y / x)) \ (x / y). (1 / (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. (1 / ((x \ y) / y)) * ((y / (x \ y)) * ((x \ y) / y)) = x. (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. (x * y) * ((z * ((x * y) \ (x * u))) / z) = x * (y * ((z * (y \ u)) / z)). (x * y) * ((z * ((x * y) \ x)) / z) = x * (y * ((z * (y \ 1)) / z)). x \ T(x,x / (x * y)) = y * ((x * (y \ 1)) / x). T(x,x / (x * y)) = x * (y * ((x * (y \ 1)) / x)). x * (y * ((x * (y \ 1)) / x)) = T(x,x / (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 * (y \ 1)) / z) | x = K(z,(z / y) / z). x \ T(x,x / (x * y)) = K(x,(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 * K(x,(x / y) / x) = T(x,x / (x * y)). 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 * 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 * 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)). x * ((x \ y) * ((z * ((x \ y) \ 1)) / z)) = y * ((z * (y \ x)) / z). 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). T(x,y) * ((T(x,y) \ T(x,z)) / T(x,z)) = K(T(x,z),1 / T(x,y)). 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). (x * (y * L(y \ 1,z,u))) / y = (x / y) * (y * L(y \ 1,z,u)). (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 * (y * z)) / x) / z = (1 / z) * ((x * ((1 / z) \ y)) / x). (1 / x) * ((y * ((1 / x) \ z)) / y) = ((y * (z * x)) / y) / x. T(x,x / (1 / y)) = ((x * (x * y)) / x) / y. ((x * (x * y)) / x) / y = T(x,x / (1 / y)). (1 / x) * ((y * ((1 / x) \ 1)) / y) = ((y * x) / y) / x. ((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 * (x * y)) / (y * x). 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)). L(((x * y) \ x) \ 1,(x * y) \ x,y) = 1 / ((x * y) \ x). (((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(x \ 1,x,x \ 1) = 1 / x. L(x \ 1,x,y \ (y / x)) = 1 / x. L(T(x \ 1,y),x,x \ 1) = T(1 / x,y). (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 * (y * L(y \ (x \ y),x,x \ 1)) = (x * (1 / x)) * y. (x \ (x / y)) / (1 / y) = (x \ (x / y)) * y. K(x \ 1,x) * T(1 / x,y) = (x \ 1) * (x * T(x \ 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). T(1 / T(x,y),x) / (1 / T(x,y)) = (x \ (x / T(x,y))) * T(x,y). 1 / ((x * y) \ x) = (y * ((x * y) \ x)) \ y. (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 \ (y / T(y,z))) * T(y,z) | x = T(K(y \ 1,y),z). T(1 / T(x,y),x) / (1 / T(x,y)) = T(K(x \ 1,x),y). K(x \ (x / (1 / (1 / T(x,y)))),x) = T(K(x \ 1,x),y). T(K(x \ 1,x),y) * (1 / T(x,y)) = x \ (x / T(x,y)). T((x * y) / z,u) * z = ((z / y) * T((z / y) \ x,u)) * y. ((x / y) * T((x / y) \ z,u)) * y = T((z * y) / x,u) * x. x * y != T((z * u) / z,w) * z | (z * T(u,w)) / y = x. (x * T(y,z)) / y = (x / y) * T((x / y) \ x,z). (x / y) * T((x / y) \ x,z) = (x * T(y,z)) / y. x * y != T(z / u,w) * u | (u * T(u \ z,w)) / y = x. (x * T(x \ (y * z),u)) / z = (x / z) * T((x / z) \ y,u). (x / y) * T(y,z) = (x * T(y,z)) / y. (x * T(y,z)) / y = (x / y) * T(y,z). x != ((y / z) * z) / u | x = y / u. ((x / T(y,z)) / y) * T(y,z) = x / y. ((x / y) * T(y,z)) * y = x * T(y,z). ((x / y) * T(y,z)) \ (x * T(y,z)) = y. (x * y) / x = (y / x) * T(x,y). (x / y) * T(y,x) = (y * x) / y. x * T(x \ y,y) = ((x \ y) * 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) \ ((y * x) / y) = T(y,x). T(x,y) = (y / x) \ ((x * y) / x). x * T(y,x * y) = (y * (x * y)) / y. (x * (y * x)) / x = y * T(x,y * x). 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). K(x \ (x / (x \ (x / y))),x) = x \ ((y * x) / y). T(x,y * x) = y \ ((x * (y * x)) / x). x \ ((y * (x * y)) / y) = T(y,x * y). (x / y) * L(T(y,x),z,u) = (x * L(x \ (y * x),z,u)) / y. (x * L(x \ (y * x),z,u)) / y = (x / y) * L(T(y,x),z,u). ((x * (1 / T(x,y))) / x) * T(x,y) = T(x,T(x,y) \ 1) / x. (x * T(y,z)) * y = (x * y) * T(y,z). (x * T(T(y,x),z)) * T(y,x) = (y * x) * T(T(y,x),z). (x * T(y,z)) \ ((x * y) * T(y,z)) = y. T(x * T(y,x * y),y) = x * y. x * T(y,x * y) != z | z = (y * (x * y)) / y. x * T(y,x * y) != z | (y * (x * y)) / y = z. x * T(y,x * y) != z * u | ((y * (x * y)) / y) / u = z. (x * y) / T(y,z) = (x / T(y,z)) * y. x * y = ((x / T(y,z)) * y) * T(y,z). ((x / T(y,z)) * y) * T(y,z) = x * 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). 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). x * y != z * T(y,u) | (x / T(y,u)) * y = z. x * T(y,z) != u * y | (u / T(y,z)) * y = x. (x * y) / T(y,z) != u | u = (x / T(y,z)) * y. (x * y) / T(y,z) != u | (x / T(y,z)) * y = u. T(x,x / (x / T(y,x))) * T(y,x) = x * y. R(T(x,L(x,y,x) * y),y,T(x,x * y)) = T(x,y). T(x,y * T(y \ x,x)) = x. T(x,x * (y * T(y \ 1,x))) = x. T(x,x * K(y,x)) = x. T(x,x * (y \ (z * T(z \ y,x)))) = x. T(x * K(y,x),x) = x * K(y,x). T(x,x * (T(x,y) \ ((y \ x) * ((y \ x) \ x)))) = x. (x \ y) \ K(T(x / y,T(y,x)),T(y,x)) = T((x \ y) \ 1,T(y,x)). x * (x * y) = T(x,x / (x / T(y,x))) * (y * x). T(x,x / (x / T(y,x))) * (y * x) = x * (x * y). x / T(x,y) != z | (1 / T(x,y)) * x = z. 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(T(y,z),y * (T(y,z) \ u)) | x = (y * (T(y,z) \ u)) \ (y * u). T(x,y) = (x * (T(x,y) \ x)) \ (x * x). (x * (T(x,y) \ x)) \ (x * x) = T(x,y). (x * x) / T(x,y) = x * (T(x,y) \ x). (x * (((T(y,x) \ y) * x) \ x)) \ (x * x) = T(x,R(T(y,x),T(y,x) \ 1,x)). (x / T(x,y)) * x = x * (T(x,y) \ x). x * y != (z * x) / T(x,u) | T(z / T(x,u),x) = y. 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 * (x * y)) / (y * x) = T(x,x / (x / T(y,x))). T(x,x / (x / T(y,x))) = (x * (x * y)) / (y * 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. x != (y * (y * z)) / (z * y) | x = R(T(y,y / (1 / z)),z,y). (x / T(y,x)) * y = R(T(x,x / (1 / y)),y,x). R(T(x,x / (1 / y)),y,x) = (x / T(y,x)) * y. (T(x,y) * z) * T(x,z) = (x * z) * T(T(x,z),y). T(x,y) * z != (x * y) * T(T(x,y),u) | T(T(x,u) * y,T(x,y)) = z. T(T(x,x * y) * y,T(x,y)) = x * y. x * y != (z * (z \ 1)) * u | u / y = x. T(T(x,x \ 1),y) / T(x,x \ 1) = T(x,y) * (x \ 1). 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)). (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 / (y / z))) * z = (x * ((y / z) \ y)) * (y / (y / z)). (x * ((y / z) \ y)) * (y / (y / z)) = (x * (y / (y / z))) * z. (x \ y) / (y / x) = (1 / (y / x)) * (x \ y). (1 / (x / y)) * (y \ x) = (y \ x) / (x / y). (x * (y \ z)) / (z / y) = (x / (z / y)) * (y \ z). (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). 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). K(T(1 / (1 / x),x \ 1),x \ 1) = T(x,x \ 1) / x. K(x,x \ 1) = T(x,x \ 1) / x. T(x,x \ 1) / x = K(x,x \ 1). 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) != y | x * (1 / x) = y. K(x,x \ 1) * x = (x \ 1) \ 1. (x \ 1) * K(x,x \ 1) = 1 / x. T(x,y) \ K(x,x \ 1) != z | x * (T(x,y) \ (1 / x)) = z. x != y * (1 / y) | x = R(y \ 1,y,z) \ (((z / (y * z)) * y) * (1 / y)). K(x,x \ 1) = R(x \ 1,x,y) \ (((y / (x * y)) * x) * (1 / x)). R(x \ 1,x,y) \ (((y / (x * y)) * x) * (1 / x)) = K(x,x \ 1). x != y * (1 / y) | x = (1 / (1 / (1 / y))) * y. K(x,x \ 1) = (1 / (1 / (1 / x))) * x. (1 / (1 / (1 / x))) * x = K(x,x \ 1). 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). R(x,y,1 / y) * K(y,y \ 1) = (x * y) * (1 / y). K(x,x \ 1) * y != x * ((1 / x) * z) | L(z,1 / x,x) = y. (T((x / (1 / y)) / y,z) * y) * (1 / y) = T(x / (y * (1 / y)),z) * K(y,y \ 1). L(x,y,z) \ K(x,x \ 1) = x * (L(x,y,z) \ (1 / x)). (x * K(y,y \ 1)) * y = (x * y) * (y * (1 / y)). x * L(x \ (y \ x),y,y \ 1) = K(y,y \ 1) * (y \ x). x * (1 / x) != y | y = K(x,x \ 1). x * (1 / x) != y | K(x,x \ 1) = y. L(1 / x,x,y / x) = y \ ((y / x) * K(x,x \ 1)). x \ ((x / y) * K(y,y \ 1)) = L(1 / y,y,x / y). T(x,x \ 1) * y != K(x,x \ 1) * (x * z) | L(z,x,K(x,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. (1 / (1 / (1 / x))) * x != y | K(x,x \ 1) = y. (K(x,x \ 1) * y) / (x * y) != z | R(1 / (1 / (1 / x)),x,y) = z. (x * K(y,y \ 1)) * y = (x * y) * K(y,y \ 1). x * y != (z * x) * K(x,x \ 1) | T(z * K(x,x \ 1),x) = y. T(x * K(y,y \ 1),y) = y \ ((x * y) * K(y,y \ 1)). x \ ((y * x) * K(x,x \ 1)) = T(y * K(x,x \ 1),x). (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). x \ (y * K(x,x \ 1)) = T((y / x) * K(x,x \ 1),x). T((x / y) * K(y,y \ 1),y) = y \ (x * K(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). x * (K(x,x \ 1) * (x \ y)) = (x * (1 / x)) * y. K(x,x \ 1) * (x \ 1) = 1 / x. x * (K(x,x \ 1) * (x \ y)) = K(x,x \ 1) * y. (1 / x) / L(y,(x \ 1) / y,K(x,x \ 1)) = K(x,x \ 1) * ((x \ 1) / y). 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 \ 1) * (K(x \ 1,x) * ((x \ 1) \ y)) = K(x \ 1,(x \ 1) \ 1) * y. x * (K(x,x \ 1) * y) != K(x,x \ 1) * z | x * y = z. K(x,x \ 1) * y != x * (K(x,x \ 1) * z) | x * z = y. (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 * 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 * T(y,z)) * T(y,u)) / T(y,z) = ((x * T(y,z)) / T(y,z)) * T(((x * T(y,z)) / T(y,z)) \ (x * y),u). ((x * T(y,z)) / T(y,z)) * T(((x * T(y,z)) / T(y,z)) \ (x * y),u) = ((x * T(y,z)) * T(y,u)) / T(y,z). K(x \ (x / (y / z)),x) = (y * T(y \ z,x)) / z. x != y * T(y \ 1,z * y) | x = K((z * y) \ z,z * y). (x * T(x \ y,z * (x / y))) / y = K((z * (x / y)) \ z,z * (x / y)). K((x * (y / z)) \ x,x * (y / z)) = (y * T(y \ z,x * (y / z))) / z. K(x \ (x / (y / z)),x) * z = y * T(y \ z,x). 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). K((x / y) \ 1,x / y) * y = x * T(x \ y,x / y). 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. (L(x,y,z) * u) / x = (u / x) * L(T(x,u),y,z). (x / y) * L(T(y,x),z,u) = (L(y,z,u) * x) / y. x * L(T(y,x * y),z,u) = (L(y,z,u) * (x * y)) / y. (L(x,y,z) * (u * x)) / x = u * L(T(x,u * x),y,z). T(x * L(T(y,x * y),z,u),y) = y \ (L(y,z,u) * (x * y)). 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 * x) / y) = (1 / ((y * x) / y)) * x. (1 / ((x * y) / x)) * y = y / ((x * y) / x). 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 * (x / (x / y)) = ((x / y) * (x / (x / y))) * y. ((x / y) * (x / (x / y))) * y = x * (x / (x / y)). (x * y) * (z / (z / y)) = (x * (z / (z / y))) * y. (x * (y / (y / z))) * z = (x * z) * (y / (y / z)). x / (y / (y / x)) = (1 / (y / (y / x))) * x. (1 / (x / (x / y))) * y = y / (x / (x / y)). K(x,x \ 1) = x / (1 / (1 / x)). x / (1 / (1 / x)) = K(x,x \ 1). x != K(y,y \ 1) | x = K(y,1 / y). x / (1 / (1 / x)) = K(x,1 / x). K(x,x \ 1) * (1 / (1 / x)) = x. K(x,1 / x) * (1 / (1 / x)) = x. L(1 / (1 / x),K(x,x \ 1),y) = (y * K(x,x \ 1)) \ (y * 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). 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) * T(1 / (1 / x),y) = x * (T(x,y) / x). K(x,x \ 1) * T(1 / (1 / x),y) = x * (T(x,y) / x). x != y \ (L(y,z,u) * w) | x = L(y,z,u) * (y \ w). T(x * L(T(y,x * y),z,u),y) = L(y,z,u) * (y \ (x * y)). 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))). (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 * L(T(y,x * y),z,u),y) = L(y,z,u) * T(x,y). (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))). T(x,x \ 1) * y != x * (K(x,x \ 1) * z) | L(z,x,K(x,x \ 1)) = 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). K(x \ (x / ((y \ x) / T(x,y))),x) = x / T(x,y). (R(x / y,z,u) * y) * w = (y * w) * R((y * w) \ (x * w),z,u). (x * y) * R((x * y) \ (z * y),u,w) = (R(z / x,u,w) * x) * y. (x * y) * R((x * y) \ (z * y),u,w) = (x * R(x \ z,u,w)) * y. x * R(((x / y) * y) \ (z * y),u,w) = ((x / y) * R((x / y) \ z,u,w)) * y. ((x / y) * R((x / y) \ z,u,w)) * y = x * R(((x / y) * y) \ (z * y),u,w). 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 != (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),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 * y) * R((x * y) \ y,z,u) = (x * R(x \ 1,z,u)) * 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)) * y) \ (x * y) = R(y,z,u). (x * R(y,z,u)) \ ((x * y) * R(y,z,u)) = y. (x * R(y,z,u)) / y = (x / y) * R(y,z,u). ((x / y) * R(y,z,u)) \ (x * R(y,z,u)) = y. (R(x,y,z) * u) * T(x,u) = (u * T(x,u)) * R(T(x,u),y,z). (x * T(y,x)) * R(T(y,x),z,u) = (R(y,z,u) * x) * T(y,x). (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,w) = (x * T(x \ (x * y),w)) * R(y,z,u). (x * T(x \ (x * y),z)) * R(y,u,w) = (x * R(y,u,w)) * T(y,z). 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). T(x * R(x \ 1,y,z),x) = x * R(x \ 1,y,z). T(x,x * R(x \ 1,y,z)) = x. T(x * ((x * R(x \ 1,y,z)) / x),x) = x * ((x * R(x \ 1,y,z)) / x). 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 / (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 \ 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). (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)). x != (y * z) * R((y * z) \ (y * u),w,v5) | x = y * (z * R(z \ u,w,v5)). (x * R(x \ 1,y,z)) * (x * u) = x * ((x * u) * R((x * u) \ u,y,z)). x * ((x * y) * R((x * y) \ y,z,u)) = (x * R(x \ 1,z,u)) * (x * y). (x * y) * R(T(x,y),z,u) = (R(x,z,u) * y) * T(x,y). (R(x,y,z) * u) * T(x,u) = (x * u) * R(T(x,u),y,z). (x * T(y,z)) * R(y,u,w) = (x * R(y,u,w)) * T(y,z). (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) * u | x = R(y,z,u) * (z * u). (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). T(x,y / (x * y)) * R(x \ 1,x,y) = T(x * (y / (x * y)),x). T(L(1 / x,R(x,y,z),1 / x),x) = (x \ R(x,y,z)) / R(x,y,z). L(x \ 1,R(x,y,z),1 / x) = (x \ R(x,y,z)) / R(x,y,z). 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,y) = T(y \ x,(x / y) * (y / x)). T(x \ y,(y / x) * (x / y)) = T(y / x,x). x != T(y / z,z) | x = z \ y. 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. 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). 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 * (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 != 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). L(x \ 1,T(x,y),1 / 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 * T(T(x \ (y * x),z),u) = y * (T(T(y,z),u) * (y \ x)). x * T(T(T(y,x),z),u) = y * (T(T(y,z),u) * (y \ x)). T(T(x,y),z) * u = x * (T(T(x,y),z) * (x \ u)). x * (T(T(x,y),z) * (x \ u)) = T(T(x,y),z) * u. L(T(x,y),y,K(x \ 1,x)) != z | T(x,K(x \ 1,x) * y) = z. 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). 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. (T(x,y) * (L(x,z,u) * y)) \ ((y * L(T(x,y),z,u)) * T(T(x,y),y)) = a(T(x,y),y,L(T(x,y),z,u)). a(x,y,z) = L(L(z,y,x) \ z,(x * y) \ (x * (y * z)),x * y). ((x / y) * (y / x)) / (x / y) = (((x / y) * (1 / (x / y))) * y) / x. (((x / y) * (1 / (x / y))) * y) / x = ((x / y) * (y / x)) / (x / y). (K(x / y,(x / y) \ 1) * y) / x = ((x / y) * (y / x)) / (x / y). (x \ 1) * ((x \ T(x,y)) * ((x \ 1) \ z)) = (x \ T(x,y)) * z. (x \ T(x,y)) * ((x \ 1) \ ((x \ 1) / (x \ T(x,y)))) = K(x \ T(x,y),(x \ 1) / (x \ T(x,y))). (L(x,y \ z,y) * z) \ (x * z) = a(y,y \ z,T(x,y * (y \ z))). a(x,x \ y,T(z,x * (x \ y))) = (L(z,x \ y,x) * y) \ (z * y). a(x,x \ y,T(z,y)) = (L(z,x \ y,x) * y) \ (z * y). (L(x,y \ z,y) * z) \ (x * z) = a(y,y \ z,T(x,z)). x \ R(T(y,x \ 1),z,u) = R((x \ 1) \ (x \ y),z,u) * (x \ 1). R((x \ 1) \ (x \ y),z,u) * (x \ 1) = x \ R(T(y,x \ 1),z,u). (x \ R(T(y,x \ 1),z,u)) / (x \ 1) = R((x \ 1) \ (x \ y),z,u). x != (y \ R(T(z,y \ 1),u,w)) / (y \ 1) | x = (y \ 1) \ (y \ R(z,u,w)). R((x \ 1) \ (x \ y),z,u) = (x \ 1) \ (x \ R(y,z,u)). x \ ((y * x) * R((y * x) \ x,z,u)) = T(y,x) * R(T(y,x) \ 1,z,u). x \ ((y * R(y \ 1,z,u)) * x) = T(y,x) * R(T(y,x) \ 1,z,u). T(x,y) * R(T(x,y) \ 1,z,u) != w | T(x * R(x \ 1,z,u),y) = w. K(x,(y * x) \ y) * x = T(x,(y * x) \ y). T(x,(y * x) \ y) / x = K(x,(y * x) \ y). ((x / y) * R((x / y) \ z,u,w)) * y = x * R(x \ (z * y),u,w). (x * R(x \ (y * z),u,w)) / z = (x / z) * R((x / z) \ y,u,w). (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)) * R((x \ ((y \ x) * z)) \ z,u,w) = x \ ((R(y,u,w) * (y \ 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)),y / x) = x / y. T(x,x \ 1) = T(x,R(1 / x,x,y)). T(x,R(1 / x,x,y)) = T(x,x \ 1). x != T(y,R(z,y,(z * y) \ y)) | x = y * K(y,z). T(x,x \ 1) = x * K(x,1 / x). x * K(x,1 / x) = T(x,x \ 1). T(x,y / (x * y)) = T(x,x \ 1). T(x,(x \ y) / y) = T(x,x \ 1). x * y != T(z,z \ u) | x \ ((z \ u) \ u) = y. x \ ((x \ 1) \ 1) = K(x,1 / x). x * K(x,x \ 1) = T(x,x \ 1). T(x,y / (x * y)) = (x \ 1) \ 1. K((x / (y * x)) \ 1,x / (y * x)) * (y * x) = T(y,y \ 1) * x. ((x \ y) / y) * T(x,x \ 1) != z | x * ((x \ y) / y) = z. x * y != K(z,1 / z) | x \ (z \ ((z \ 1) \ 1)) = y. x \ (x \ ((x \ 1) \ 1)) = 1 / x. x * y != z \ ((z \ 1) \ 1) | x \ K(z,1 / z) = y. T(x,y) \ K(x,1 / x) = x \ (T(x,y) \ ((x \ 1) \ 1)). x \ (T(x,y) \ ((x \ 1) \ 1)) = T(x,y) \ K(x,1 / x). x \ ((x \ 1) \ 1) != y | K(x,x \ 1) = y. x * K(x,x \ 1) = (x \ 1) \ 1. T(x,x \ 1) * L(y,K(x,x \ 1),x) = x * (K(x,x \ 1) * y). (T(x,x \ 1) * y) / (K(x,x \ 1) * y) != z | R(x,K(x,x \ 1),y) = z. T(x / y,y / x) = ((x / y) \ 1) \ 1. ((x / y) * (y / x)) / (x / y) = 1 / (1 / (y / x)). (x / y) * (((y / x) \ 1) \ 1) = (y / x) * (x / y). ((((x * y) / x) \ 1) \ 1) * x = x * T(y,x / (x * y)). x \ T(x,y / (x * y)) != z | K(x,x \ 1) = z. 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)). x != T(y,z) \ K(y,1 / y) | x = y * (T(y,z) \ (1 / y)). x \ (T(x,y) \ ((x \ 1) \ 1)) = x * (T(x,y) \ (1 / x)). T(x,((y * x) / y) \ 1) = T(x,y / (y * x)). x != y \ (T(y,z) \ ((y \ u) \ u)) | x = ((y \ u) \ u) * (y \ (T(y,z) \ 1)). x * (T(x,y) \ (1 / x)) = ((x \ 1) \ 1) * (x \ (T(x,y) \ 1)). ((x \ 1) \ 1) * (x \ (T(x,y) \ 1)) = x * (T(x,y) \ (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)). 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)) != z | z = R(y \ 1,y,x). K(x / (y * x),y) * (x / (y * x)) != z | R(y \ 1,y,x) = z. R(x * y,z,K(y * z,R(x,y,z))) \ ((y * z) * R(x,y,z)) = z * K(y * z,R(x,y,z)). (((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)). T(x,x / (x * y)) != z | (x * ((x / y) / x)) * y = z. (x * ((y * (x \ z)) / y)) * u = x * (u * ((y * (u \ (x \ (z * u)))) / y)). x * (y * ((z * (y \ (x \ (u * y)))) / z)) = (x * ((z * (x \ u)) / z)) * y. (x * y) * ((z * ((x * y) \ y)) / z) = (x * ((z * (x \ 1)) / z)) * y. 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 * z) * ((u * ((y * z) \ (y * w))) / u) | x = y * (z * ((u * (z \ w)) / u)). (x * ((y * (x \ 1)) / y)) * (x * z) = x * ((x * z) * ((y * ((x * z) \ z)) / y)). x * ((x * y) * ((z * ((x * y) \ y)) / z)) = (x * ((z * (x \ 1)) / z)) * (x * y). 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 * ((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)). 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). (((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). T(x,y) * ((x * (T(x,y) \ 1)) / x) = T(x * (1 / 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,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). x * (y * ((x \ (z * y)) / y)) = (x * ((y * (x \ z)) / y)) * y. (x * ((y * (x \ z)) / y)) * y = x * (y * ((x \ (z * y)) / y)). ((x * y) * ((z * ((x * y) \ x)) / z)) * z = (x * y) * (z * (L(y \ z,y,x) / z)). 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). (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). (x * y) \ (y * x) = ((1 / x) * ((x * y) \ (y * x))) / (1 / x). ((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). (K(x,y) * (1 / y)) / K(x,y) = 1 / y. x != (1 / y) * K(y \ 1,y) | x = y \ 1. K(x \ 1,x) * (1 / x) = x \ 1. T(1 / x,K(y,x)) = 1 / x. K(1 / x,K(y,x)) = 1. K(x,K(y,x \ 1)) = 1. T(x,K(y,x \ 1)) = x. x \ 1 != y * (1 / x) | K(x \ 1,x) = y. x * (1 / y) != y \ 1 | K(y \ 1,y) = x. (x \ 1) / (1 / x) != y | y = K(x \ 1,x). (x \ 1) / (1 / x) != y | K(x \ 1,x) = y. (x \ 1) * L(y,1 / x,K(x \ 1,x)) = K(x \ 1,x) * ((1 / x) * y). R(x,K(y \ 1,y),1 / y) * (y \ 1) = (x * K(y \ 1,y)) * (1 / y). (x \ 1) \ (K(x \ 1,x) * y) != z | L((1 / x) \ y,1 / x,K(x \ 1,x)) = z. R(1 / x,y,z) \ (K(u,x) * R(1 / x,y,z)) = K(u,x). K(1 / x,1 / (1 / x)) != y | K(x \ 1,x) = y. K(x \ 1,x) = K(1 / x,(1 / x) \ 1). K(1 / x,(1 / x) \ 1) = K(x \ 1,x). K(1 / x,x) = K(x \ 1,x). 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). K(x,x \ 1) = K((x \ 1) \ 1,x \ 1). K((x \ 1) \ 1,x \ 1) = K(x,x \ 1). T(K(x,y),R(1 / y,z,u)) = K(x,y). T(K(x,y),z / (y * z)) = K(x,y). T(K(x,y),y \ 1) = K(x,y). T(x \ 1,K(y,x)) = x \ 1. (x \ 1) * T(T(x \ 1,K(y,x)) \ 1,z) = T((x \ 1) * T((x \ 1) \ 1,z),K(y,x)). T((x \ 1) * T((x \ 1) \ 1,y),K(z,x)) = (x \ 1) * T(T(x \ 1,K(z,x)) \ 1,y). (x / (y * x)) * K(z,y) = K(z,y) * (x / (y * x)). K(x,y) * (z / (y * z)) = (z / (y * z)) * K(x,y). R(x \ 1,x,y) = (y / (x * y)) * K(y / (x * y),x). (x / (y * x)) * K(x / (y * x),y) = R(y \ 1,y,x). L(x \ L(y,1 / x,K(x \ 1,x)),x,x \ 1) = (1 / x) * y. L((1 / x) \ y,1 / x,K(x \ 1,x)) = K(x \ 1,x) * ((x \ 1) \ 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). T(x,y) \ 1 = (x \ 1) / (x \ T(x,y)). (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). K(x \ T(x,y),(x \ 1) / (x \ T(x,z))) = 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 != L(L(T(y \ 1,z),y,u),u * y,1 / (u * y)) | x = T((1 / (u * y)) * u,z). R((1 / (x * y)) * x,y,y \ 1) = T((1 / (x * y)) * x,y). a(1 / (x * y),x,y) \ T((1 / (x * y)) * x,y) = y \ 1. (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 != 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)). (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 != (y * z) / y | x = (z \ ((y * z) / y)) / (z \ 1). x * (T(y,x) / y) = (x \ ((L(y,1 / y,x) * x) / L(y,1 / y,x))) / (x \ 1). (x \ ((L(y,1 / y,x) * x) / L(y,1 / y,x))) / (x \ 1) = x * (T(y,x) / y). (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 \ (x * (T(y,x) / y))) / (x \ 1) = x * (T(y,x) / y). (T(x,y) / x) / (y \ 1) = y * (T(x,y) / x). 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 \ 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(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). (((x \ 1) \ y) * (x \ 1)) * x = T(y * (1 / (x \ 1)),x \ 1). T(x * (1 / (y \ 1)),y \ 1) = (((y \ 1) \ x) * (y \ 1)) * y. x != T((y * z) * (1 / y),y) | x = y \ ((y \ 1) \ z). (x * y) * (1 / y) = y \ ((y \ 1) \ x). x \ ((x \ 1) \ y) = (y * x) * (1 / x). T((x * y) * (1 / x),x) != z * (1 / x) | y * x = z. x * ((y * x) * (1 / x)) = (x \ 1) \ y. x * y != (x \ 1) \ x | y = x. (x * x) * (1 / x) = x. x * (y * (1 / x)) = (x \ 1) \ (y / x). (x \ 1) \ (y / x) = x * (y * (1 / x)). x * ((y * x) \ y) = (x \ 1) \ ((y * x) \ y). (x \ 1) \ ((y * x) \ y) = x * ((y * x) \ y). L(x \ 1,x,x) = 1 / x. (x * x) \ x = 1 / x. (x * (x * (x \ 1))) \ ((x * x) * ((1 / x) * y)) = L(y,L(x \ 1,x,x),x * x). L((1 / x) \ y,L(x \ 1,x,x),x * x) = (x * (x * (x \ 1))) \ ((x * x) * y). ((x \ 1) \ y) * (x \ 1) = x * (y * (1 / x)). (x \ 1) \ (y / x) != x * z | y * (1 / x) = z. (x \ 1) * (x * ((y * x) \ y)) = ((y * x) \ y) * 1. x * (y * (1 / x)) = ((x \ 1) \ 1) * (y * (x \ 1)). ((x \ 1) \ 1) * (y * (x \ 1)) = x * (y * (1 / x)). T(x * y,y \ 1) = (((y \ 1) \ x) * (y \ 1)) * y. (((x \ 1) \ y) * (x \ 1)) * x = T(y * x,x \ 1). (x \ T(y,x \ 1)) * x = T((x \ y) * x,x \ 1). T((x \ y) * x,x \ 1) = (x \ T(y,x \ 1)) * x. T(T(x,y) / (y \ 1),y \ 1) = (y \ T(x / (y \ 1),y \ 1)) * y. (x \ T(y / (x \ 1),x \ 1)) * x = T(T(y,x) / (x \ 1),x \ 1). (x \ ((x \ 1) \ y)) * x = T(T(y,x) / (x \ 1),x \ 1). T(T(x,y) / (y \ 1),y \ 1) = (y \ ((y \ 1) \ x)) * y. (x \ 1) \ T(y,x) = (x \ ((x \ 1) \ y)) * x. (x \ ((x \ 1) \ y)) * x = (x \ 1) \ T(y,x). (x \ y) * x = (x \ 1) \ T((x \ 1) * y,x). (x \ 1) \ T((x \ 1) * y,x) = (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). x * ((x \ 1) * (y * x)) = ((x \ 1) * (x * y)) * x. ((x \ 1) * (x * y)) * x = x * ((x \ 1) * (y * x)). ((x \ 1) * (x * y)) * x = L(y * x,x \ 1,x). x * y != z * ((z \ 1) * u) | L(u,z \ 1,z) / y = x. L(x * y,y \ 1,y) / y = (y \ 1) * (y * x). L(x,y \ 1,y) / y = (y \ 1) * (y * (x / y)). (x \ 1) * (x * (y / x)) = L(y,x \ 1,x) / x. L(R(x,1 / y,y),y \ 1,y) / y = (y \ 1) * (y * (x * (1 / y))). x != L(R(y,1 / z,z),u,w) / z | x = L(y,u,w) * (1 / z). (x \ 1) * (x * (y * (1 / x))) = L(y,x \ 1,x) * (1 / x). (x \ 1) * (x * (y * (1 / x))) != z * (1 / x) | L(y,x \ 1,x) = z. x \ ((x * x) * ((1 / x) * y)) = L(y,L(x \ 1,x,x),x * x). L(x,L(y \ 1,y,y),y * y) = y \ ((y * y) * ((1 / y) * x)). L(x,L(y \ 1,y,y),y * y) = y \ (y * ((y / y) * x)). L(x,L(y \ 1,y,y),y * y) = y \ (y * (1 * x)). 1 * x != y \ (y * (1 * z)) | x = L(z,L(y \ 1,y,y),y * y). x = L(x,L(y \ 1,y,y),y * y). L(x,L(y \ 1,y,y),y * y) = x. T(x,y) * L(T(x,y) \ (y \ z),u,w) = y \ ((x * y) * L((x * y) \ z,u,w)). x \ ((y * x) * L((y * x) \ z,u,w)) = T(y,x) * L(T(y,x) \ (x \ z),u,w). x \ (y * (x * L(x \ (y \ z),u,w))) = T(y,x) * L(T(y,x) \ (x \ z),u,w). T(x * L(x \ (y / z),u,w),z) = T(x,z) * L(T(x,z) \ (z \ y),u,w). T(x,y) * L(T(x,y) \ (y \ z),u,w) = T(x * L(x \ (z / y),u,w),y). T(x,y) * L(T(x,y) \ z,u,w) = T(x * L(x \ ((y * z) / y),u,w),y). T(x * L(x \ ((y * z) / y),u,w),y) = T(x,y) * L(T(x,y) \ z,u,w). T(x * L(x \ y,z,u),w) = T(x,w) * L(T(x,w) \ T(y,w),z,u). T(x,y) * L(T(x,y) \ T(z,y),u,w) = T(x * L(x \ z,u,w),y). T(x,y) * L(T(x,y) \ 1,z,u) = T(x * L(x \ 1,z,u),y). T(x * L(x \ 1,y,z),u) != T(x,u) * w | L(T(x,u) \ 1,y,z) = w. T(x,y) * ((z * T(x,y)) \ z) = T(x * L(x \ 1,T(x,y),z),y). T(x * L(x \ 1,T(x,y),z),y) = T(x,y) * ((z * T(x,y)) \ z). T(x \ y,z) * L(T(x \ y,z) \ 1,x \ y,x) = T((x \ y) * (y \ (x * 1)),z). T(x * L(x \ 1,T(x,y),1 / x),y) = T(x,y) * ((T(x,y) / 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 * (y * (1 / (1 / x)))) \ ((y * x) * (1 / (1 / x))) = K(y * L(x,x \ 1,x),x). L(L(x,y,y \ 1),K(y \ 1,y),1 / y) = (1 / y) * (y * x). (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. (T((x / (1 / y)) / y,z) * y) * (1 / y) = T(x / K(y,y \ 1),z) * K(y,y \ 1). (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 \ (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 != z \ (z * u) | x \ u = y. (x * (y * T(y \ 1,x))) \ (y * T(y \ 1,x)) = x \ 1. (x * K(y,x)) \ (L(y \ 1,y,x) * T(L(y \ 1,y,x) \ 1,x)) = x \ 1. (x * K(y,x)) \ K(y,x) = x \ 1. (x * K(y,x)) * (x \ 1) = K(y,x). K(x,y) / (y \ 1) = y * K(x,y). K(x,y) * (z * T(z \ L((y \ 1) \ z,y \ 1,y * K(x,y)),u)) = ((y * K(x,y)) * ((y \ 1) * T((y \ 1) \ 1,u))) * z. (x * K(y,x)) * ((x \ 1) * T((x \ 1) \ 1,z)) = K(y,x) * T(K(y,x) \ (K(y,x) / (x \ 1)),z). K(x,y) * T(K(x,y) \ (K(x,y) / (y \ 1)),z) = (y * K(x,y)) * ((y \ 1) * T((y \ 1) \ 1,z)). T((x \ 1) * T((x \ 1) \ 1,y),K(z,x)) = (x \ 1) * T((x \ 1) \ 1,y). T((x \ 1) * T((x \ 1) \ 1,y),K(z,x)) = x \ T(x,y). T(x \ T(x,y),K(z,x)) = x \ T(x,y). T(K(x,y),y \ T(y,z)) = K(x,y). L(x \ T(x,y),x,y) = T((y * x) \ (x * y),K(z,x)). T((x * y) \ (y * x),K(z,y)) = L(y \ T(y,x),y,x). K(K(x,y),y \ T(y,z)) = 1. K(K(x,y),y \ ((T(z,y) \ z) * y)) = 1. K(K(x,y),T(T(z,y) \ z,y)) = 1. T((x * y) \ (y * x),K(z,y)) = K(y,x). T(K(x,y),K(z,x)) = K(x,y). T(K(x,y),K(y,z)) = K(x,y). K(x,y) * K(y,z) = K(y,z) * K(x,y). K(x,y) * K(z,x) = K(z,x) * K(x,y). K(x,y) * K(y,z) != u | K(y,z) * K(x,y) = u. K(x,y) * L(K(y,z),u,w) != v5 | L(K(y,z),u,w) * K(x,y) = v5. K(x,y) * K(z,x) != u | K(z,x) * K(x,y) = u. 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). 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). (T((x / (1 / y)) / y,z) * y) * (1 / y) != u | K(y,y \ 1) * T(K(y,y \ 1) \ x,z) = u. x \ ((x / T(y \ 1,y * y)) * ((((y \ 1) \ y) \ y) * z)) = L(z,((y \ 1) \ y) \ y,x / T(y \ 1,(y \ 1) \ y)). 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 * ((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,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)). 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). 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(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(x,L(x \ 1,x,y)) = (x \ 1) \ 1. T(K(x,y),(x * y) \ (y * x)) = T(K(x,y),K(x,y) \ 1). T(x,L(x \ 1,x,y)) = T(x,x \ 1). 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(T(x,y),(x * y) \ y) = K(T(x,y),T(x,y) \ 1). K(T(x,y),T(x,y) \ 1) = K(T(x,y),(x * y) \ y). K(x \ y,T(y,x) \ ((y * x) / y)) = K(x \ y,(x \ y) \ 1). 1 / T(x \ y,y \ x) = (x \ y) \ 1. T(x \ (x / y),y) = ((x \ (x / y)) \ 1) \ 1. (x \ y) * (((y \ x) \ 1) \ 1) != z | (y \ x) * (x \ y) = z. x * (((x \ y) \ 1) \ 1) = y * K((y \ x) \ 1,y \ x). x * K((x \ y) \ 1,x \ y) = y * (((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(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)) != z | (K(x,y) \ 1) \ 1 = z. (K(x,y) \ 1) \ 1 = K(x,y). 1 / K(x,y) = K(x,y) \ 1. 1 / (1 / K(x,y)) = K(x,y). K(x,y) \ 1 != z | z = 1 / K(x,y). K(x,y) \ 1 != z | 1 / K(x,y) = z. 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). 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. x != K(y \ (y / z),y) | x = z * T(z \ 1,y). 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)). K(R(x,y,z) \ 1,R(x,y,z)) * (y * z) = ((x * T(x \ 1,R(x,y,z))) * y) * z. 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. K(T(x,R(x \ 1,y,z)),R(x \ 1,y,z)) = x \ T(x,R(x \ 1,y,z)). K(x \ 1,x) * R(K(x \ 1,x) \ y,z,u) = (x \ 1) * (x * R(x \ ((x \ 1) \ y),z,u)). 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 * (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. K(x \ 1,x) * R(K(x \ 1,x) \ (y * x),z,u) = (x \ R(x * y,z,u)) * x. (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). x != ((y \ z) / (z / y)) / (1 / (z / y)) | x = T(1 / (1 / (z / y)),y). T(1 / (1 / R(1 / x,x,y)),x * y) = T(1 / (1 / (y / (x * y))),x * y). K(x,x \ 1) * T(K(x,x \ 1) \ y,z) = x * ((1 / x) * T((1 / x) \ (x \ y),z)). 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). (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((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). x * (y * K(x,x \ 1)) = (x * y) * K(x,x \ 1). (x * y) * K(x,x \ 1) = x * (y * K(x,x \ 1)). R(x,y,K(x,x \ 1)) = x. L(K(x,x \ 1),y,x) = K(x,x \ 1). R(T(x,y),z,K(x,x \ 1)) = T(x,y). (x * y) / K(x,x \ 1) = x * (y / K(x,x \ 1)). 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). T(x,y / (x * y)) = T(x,R(x \ 1,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)). K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)) = x \ T(x,y / (x * y)). T(x \ 1,x) = T(x \ 1,T(x,x \ 1)). T(x \ 1,T(x,x \ 1)) = T(x \ 1,x). T(x \ T(x,y),T(x,x \ 1)) = K(y \ (y / T(x \ 1,x)),y). T(K(x \ 1,x) * y,x) = (1 / K(x,x \ 1)) * T(y,x). (1 / K(x,x \ 1)) * T(y,x) = T(K(x \ 1,x) * y,x). K(x \ 1,x) * T(y,x) = T(K(x \ 1,x) * 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 != 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 != 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). (x \ T(x,y)) * ((x \ 1) \ (T(x,y) \ 1)) = K(x \ T(x,y),(x \ 1) / (x \ T(x,y))). K(x \ T(x,y),(x \ 1) / (x \ T(x,y))) = (x \ T(x,y)) * ((x \ 1) \ (T(x,y) \ 1)). x != K(y \ T(y,z),(y \ 1) / (y \ T(y,u))) | x = 1. (x \ T(x,y)) * ((x \ 1) \ (T(x,y) \ 1)) = 1. x * y != K(z \ T(z,u),(z \ 1) / (z \ T(z,w))) | x \ 1 = y. (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,y)) \ 1 != z | z = (x \ 1) \ (T(x,y) \ 1). (x \ T(x,y)) \ 1 != z | (x \ 1) \ (T(x,y) \ 1) = z. K(x,y) * T(K(x,y) \ (K(x,y) / (y \ 1)),z) = (y * K(x,y)) * (y \ T(y,z)). K(x,y) * T(K(x,y) \ (y * K(x,y)),z) = (y * K(x,y)) * (y \ T(y,z)). K(x,y) * T(T(y,K(x,y)),z) = (y * K(x,y)) * (y \ T(y,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. x != L(y \ 1,y,z) * T(L(y \ 1,y,z) \ 1,z) | x = K(y,z). (((x * y) \ x) \ K(y,x)) / (L(y \ 1,y,x) \ 1) = K(y,x). (((x * y) \ x) \ K(y,x)) / (((x * y) \ x) \ 1) = K(y,x). T(K(x,y),((y * x) \ y) \ 1) != z | (((y * x) \ y) \ 1) \ (((y * x) \ y) \ K(x,y)) = z. (x \ L(x * y,z,u)) * T(x,x \ 1) = R(L(y / (x \ 1),z,u),x \ 1,(x \ 1) \ 1). R(L(x / (y \ 1),z,u),y \ 1,(y \ 1) \ 1) = (y \ L(y * x,z,u)) * T(y,y \ 1). x != R(L(y / z,u,w),z,z \ 1) | x = L(y * (z \ 1),u,w). (x \ L(x * y,z,u)) * T(x,x \ 1) = L(y * ((x \ 1) \ 1),z,u). (T(x,y) * (L(x,z,u) * y)) \ ((L(x,z,u) * y) * T(T(x,y),y)) = a(T(x,y),y,L(T(x,y),z,u)). 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). T(K(T(x,y),1 / x),y) != z | K(T(x,y),T(x,y) \ 1) = z. K(T(x,y),T(x,y) \ 1) = T(x,y) * ((T(x,y) / x) \ (1 / x)). 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(T(x,x \ 1),y) / T(x,x \ 1)) \ (x \ 1) = 1 / T(T(x,x \ 1),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). x != T(T(y,y \ z),u) | x = T((y \ z) \ z,u). (T(x,y) \ 1) \ 1 = T((x \ 1) \ 1,y). T(x \ 1,y) = (T(1 / x,y) \ 1) \ 1. (T(1 / x,y) \ 1) \ 1 = T(x \ 1,y). 1 / (1 / T(x,y)) = T(1 / (1 / x),y). ((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). 1 / (1 / (x \ y)) = T(1 / (1 / (y / x)),x). T(1 / (1 / (x / y)),y) = 1 / (1 / (y \ x)). ((x * T(1 / (1 / y),x)) / x) \ (y / T(y,x)) = 1 / T(y,x). T(x,((y * x) / y) \ 1) = ((y \ (y * x)) \ 1) \ 1. x * (((x \ y) \ 1) \ 1) = (((y / x) \ 1) \ 1) * x. (((x / y) \ 1) \ 1) * y = y * (((y \ x) \ 1) \ 1). (x * (((x \ y) \ 1) \ 1)) / x = ((y / x) \ 1) \ 1. x * (1 / (1 / (x \ y))) = (1 / (1 / (y / x))) * x. (1 / (1 / (x / y))) * y = y * (1 / (1 / (y \ x))). (x * (1 / (1 / (x \ y)))) / x = 1 / (1 / (y / x)). T(x,((y * x) / y) \ 1) = (x \ 1) \ 1. x != T(y,((z * y) / z) \ 1) | x = T(y,z / (z * y)). (x \ 1) \ 1 = T(x,y / (y * x)). T(x,y / (y * x)) = (x \ 1) \ 1. T(x,y / (y * x)) = T(x,x \ 1). T(x \ y,x / y) = ((x \ y) \ 1) \ 1. (x / (x * y)) * T(y,y \ 1) = y * (x / (x * y)). T(x \ (y \ x),y) = ((x \ (y \ x)) \ 1) \ 1. 1 / T(x \ (y \ x),y) = (x \ (y \ x)) \ 1. ((R(x / y,y,z) \ 1) \ 1) * (y * z) = (y * z) * ((((y * z) \ (x * z)) \ 1) \ 1). (x * ((y \ 1) \ 1)) / x = (((x * y) / x) \ 1) \ 1. T(1 / (1 / (x / y)),y) != z | z = 1 / (1 / (y \ x)). T(1 / (1 / (x / y)),y) != z | 1 / (1 / (y \ x)) = z. (1 / (1 / x)) \ (x / T(x,y)) = 1 / T(x,y). 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))). x * T(((x * T(y,z)) / T(y,z)) \ (x * y),u) = ((x * T(y,z)) * T(y,u)) / T(y,z). x * T(x \ (x * y),z) = ((x * T(y,u)) * T(y,z)) / T(y,u). ((x * T(y,z)) * T(y,u)) / T(y,z) = x * T(x \ (x * y),u). ((x * T(y,z)) * T(y,u)) / T(y,z) = x * T(y,u). (x * T(y,z)) / T(y,u) = (x / T(y,u)) * T(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)). K(x,x \ 1) = K(x,y / (x * y)). K(x,y / (x * y)) = K(x,x \ 1). K(x,y / (x * y)) != z | K(x,x \ 1) = z. 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) != z | K(x / y,(x / y) \ 1) = z. (K(x / y,y / x) * y) / x = ((x / y) * (y / x)) / (x / y). K(x / (y * x),y) != z | K(x / (y * x),(x / (y * x)) \ 1) = z. x != ((y / z) * (z / y)) / (y / z) | x = 1 / (1 / (z / y)). (K(x / y,y / x) * y) / x = 1 / (1 / (y / x)). (K((x * y) / y,y / (x * y)) * y) / (x * y) = 1 / (1 / R(1 / x,x,y)). 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)). ((x \ T(x,y)) * x) * L(z,(x \ 1) * x,T(T(x,x \ 1),y)) = R(T(x,y),x \ 1,x) * (((x \ 1) * x) * z). ((x \ T(x,y)) * x) * L(z,K(x \ 1,x),T(T(x,x \ 1),y)) = R(T(x,y),x \ 1,x) * (((x \ 1) * x) * z). 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). ((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)). x != y * (1 / y) | x = K(y,y \ 1). 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). (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) \ (x \ (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(L(x,y,z) \ 1,(x \ 1) \ 1,x \ 1) = L(x * (1 / (1 / (x \ 1))),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 * y) \ ((x * (y * z)) * R((x * (y * z)) \ (x * y),u,w)) = L(z,y,x) * R(L(z,y,x) \ 1,u,w). (x * y) \ (x * ((y * z) * R((y * z) \ y,u,w))) = L(z,y,x) * R(L(z,y,x) \ 1,u,w). (x * y) \ (x * (y * (z * R(z \ 1,u,w)))) = L(z,y,x) * R(L(z,y,x) \ 1,u,w). L(x,y,z) * R(L(x,y,z) \ 1,u,w) != v5 | L(x * R(x \ 1,u,w),y,z) = v5. 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. (L(x,y,z) \ 1) \ (x \ 1) = x \ L(x,y,z). x / ((1 / x) \ L(1 / x,y,z)) = L(1 / x,y,z) \ 1. (R(1 / (1 / x),y,z) \ 1) \ (R(x,y,z) \ 1) = R(x,y,z) \ L(R(x,y,z),x \ 1,x). R(x,y,z) \ L(R(x,y,z),x \ 1,x) = (R(1 / (1 / x),y,z) \ 1) \ (R(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). R(x,y,z) \ R(1 / (1 / x),y,z) = (R(1 / (1 / x),y,z) \ 1) \ (R(x,y,z) \ 1). (R(1 / (1 / x),y,z) \ 1) \ (R(x,y,z) \ 1) = R(x,y,z) \ R(1 / (1 / x),y,z). (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) * (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 != L(K(L(y,z,u),1 / y),z,u) | x = L(y,z,u) * ((L(y,z,u) / y) \ (1 / y)). K(L(x,y,z),L(x,y,z) \ 1) = L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)). 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 / x,y,z) \ 1 = 1 / L(x \ 1,y,z). 1 / L(x \ 1,y,z) = L(1 / x,y,z) \ 1. L(K(x,y),z,u) \ 1 = 1 / L(K(x,y),z,u). 1 / L(K(x,y),z,u) = L(K(x,y),z,u) \ 1. L(1 / x,y,z) = 1 / (1 / L(x \ 1,y,z)). 1 / (1 / L(x \ 1,y,z)) = L(1 / x,y,z). (L(1 / x,y,z) \ 1) \ 1 = L(x \ 1,y,z). (L(K(x,y),z,u) \ 1) \ 1 = L(K(x,y),z,u). 1 / (1 / ((x * y) \ x)) = L(1 / y,y,x). L(1 / x,x,y) = 1 / (1 / ((y * x) \ y)). 1 / (1 / (x \ y)) = L(1 / (y \ x),y \ x,y). L(1 / (x \ y),x \ y,x) = 1 / (1 / (y \ x)). 1 / (1 / (x \ (x / y))) = L(1 / y,y,x / y). L(1 / x,x,y / x) = 1 / (1 / (y \ (y / x))). K(L(x \ 1,x,y) \ 1,L(x \ 1,x,y)) = ((y * x) \ y) \ L(1 / x,x,y). L(x,x \ 1,y) = 1 / (1 / ((y * (x \ 1)) \ y)). (L(x,y,z) \ 1) \ 1 = L((x \ 1) \ 1,y,z). L((x \ 1) \ 1,y,z) = (L(x,y,z) \ 1) \ 1. L((((x \ y) \ z) \ 1) \ 1,x \ y,x) = ((y \ (x * z)) \ 1) \ 1. L(T(x \ 1,x),y,z) = (L(x \ 1,y,z) \ 1) \ 1. x * (1 / (1 / (x \ y))) = y * ((y \ x) * (1 / (y \ x))). x * ((x \ y) * (1 / (x \ y))) = y * (1 / (1 / (y \ x))). x != L(1 / y,y,z / y) | x = z \ ((z / y) * K(y,y \ 1)). 1 / (1 / (x \ (x / y))) = x \ ((x / y) * K(y,y \ 1)). x \ ((x / y) * K(y,y \ 1)) = 1 / (1 / (x \ (x / y))). x * K(x \ y,y \ x) = y * (1 / (1 / (y \ x))). x \ (y * K(y \ x,x \ y)) = 1 / (1 / (x \ y)). L(x \ (1 / (1 / (y \ (y * x)))),x,y) = K((y * x) \ y,y \ (y * x)). x * (1 / (1 / (x \ (x / y)))) = (x / y) * K(y,y \ 1). (x / y) * K(y,y \ 1) = x * (1 / (1 / (x \ (x / y)))). x * y != z * (1 / (1 / (z \ x))) | y = K(x \ z,z \ x). K(x,x \ 1) = K((y / x) \ y,y \ (y / x)). K((x / y) \ x,x \ (x / y)) = K(y,y \ 1). L(T((x \ y) \ z,z \ (x \ y)),x \ y,x) = ((y \ (x * z)) \ 1) \ 1. L(x \ (1 / (1 / x)),x,y) = K((y * x) \ y,y \ (y * x)). L(K(x \ 1,x),x,y) = K((y * x) \ y,y \ (y * x)). x != L(T((y \ z) \ u,w),y \ z,y) | x = T(z \ (y * u),w). ((x \ (y * z)) \ 1) \ 1 = T(x \ (y * z),z \ (y \ x)). T(x \ (y * z),z \ (y \ x)) = ((x \ (y * z)) \ 1) \ 1. T(a(x,y,z),z \ ((x * y) \ (x * (y * z)))) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. T(a(x,y,z),z \ L(z,y,x)) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. T(a(x,y,z),z \ L(z,y,x)) = (a(x,y,z) \ 1) \ 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 * T(y \ 1,R(y,z,u)),z,u) | x = K(R(y,z,u) \ 1,R(y,z,u)). ((x \ 1) / (x \ R(x,y,z))) * R(x,y,z) = K(R(x,y,z) \ 1,R(x,y,z)). (x \ 1) / (x \ R(x,y,z)) = R(x,y,z) \ 1. ((x * y) * (z * L(z \ ((x * y) \ (y * z)),u,w))) / (R(x,y,z) \ ((x * y) * z)) = R(x,y,z) * L(R(x,y,z) \ 1,u,w). K(x,y) * (z * T(z \ L((y \ 1) \ z,y \ 1,y * K(x,y)),u)) = ((y * K(x,y)) * (y \ T(y,u))) * z. (((x * y) * L((x * y) \ y,z,u)) * w) / (R(x,y,w) \ ((x * y) * w)) = R(x,y,w) * L(R(x,y,w) \ 1,z,u). (((x * L(x \ 1,y,z)) * u) * w) / (R(x,u,w) \ ((x * u) * w)) = R(x,u,w) * L(R(x,u,w) \ 1,y,z). (((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) * L(R(x,y,z) \ 1,x,1 / x) = R(x * T(1 / x,1),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) * ((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(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)). (1 / x) * ((((y * x) \ y) \ (((y * x) \ y) * x)) * ((y * x) \ y)) = (T(x,(y * x) \ y) / x) * ((y * x) \ y). (1 / x) * (x * ((y * x) \ y)) = (T(x,(y * x) \ y) / x) * ((y * x) \ y). (T(x,(y * x) \ y) / x) * ((y * x) \ y) = (1 / x) * (x * ((y * x) \ y)). x != (1 / y) * (y * ((z * y) \ z)) | x = L(1 / y,y,z). (T(x,(y * x) \ y) / x) * ((y * x) \ y) = L(1 / x,x,y). K(x,(y * x) \ y) * ((y * x) \ y) = L(1 / x,x,y). K(x,x \ 1) * ((y * x) \ y) = L(1 / x,x,y). ((x * y) \ x) * T(K(y,y \ 1),(x * y) \ x) = L(1 / y,y,x). ((x * y) \ x) * K(y,y \ 1) = L(1 / y,y,x). ((x * y) \ x) \ L(1 / y,y,x) = K(y,y \ 1). x != ((y * z) \ y) \ L(1 / z,z,y) | x = K(L(z \ 1,z,y) \ 1,L(z \ 1,z,y)). K(x,x \ 1) = K(L(x \ 1,x,y) \ 1,L(x \ 1,x,y)). K(L(x \ 1,x,y) \ 1,L(x \ 1,x,y)) = K(x,x \ 1). (x * y) * K(y,y \ 1) = x * T(y,L(y \ 1,y,x)). x * T(y,L(y \ 1,y,x)) = (x * y) * 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 * T(y,y \ 1) = (x * y) * K(y,y \ 1). (x * y) * K(y,y \ 1) = x * T(y,y \ 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). K(x,x \ 1) \ (y * ((x \ 1) \ 1)) != z | T(y * x,K(x,x \ 1)) = z. x * T(y,y \ 1) = (x * K(y,y \ 1)) * y. (x * K(y,y \ 1)) * y = x * T(y,y \ 1). 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 * y != (z * (y \ 1)) * ((y \ 1) \ u) | x = z * (u / y). (x * (y \ 1)) * K(y,y \ 1) = x * (1 / y). (x * K(y,y \ 1)) * y = x * (K(y,y \ 1) * y). x * K(y,y \ 1) = (x / (y \ 1)) * (1 / y). (x / (y \ 1)) * (1 / y) = x * K(y,y \ 1). x * K(y,y \ 1) != (z * y) * (1 / y) | x = R(z,y,1 / y). (x * y) * (y \ 1) = R(x,y,1 / y). ((x * y) * (1 / z)) / ((y * (z \ 1)) * K(z,z \ 1)) = R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)). R(x,y,y \ 1) = R(x,y,1 / y). R(x,y,1 / y) = R(x,y,y \ 1). (x * (y \ 1)) * ((y \ 1) \ 1) = R(x,y \ 1,y). x != (y * (z \ 1)) * ((z \ 1) \ u) | x = (y * (u / z)) * z. R(x,y \ 1,y) = (x * (1 / y)) * y. (x * (1 / y)) * y = R(x,y \ 1,y). x * y != (z * (u \ 1)) * ((u \ 1) \ 1) | R(z,u \ 1,u) / y = x. R(x,y \ 1,y) / y = x * (1 / y). R(x,y \ 1,y) != z | R(x,y \ 1,(y \ 1) \ 1) = z. 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). R(x,(1 / y) \ 1,1 / y) / (1 / y) = x * (y * K(y \ 1,y)). R(x,K(y,y \ 1),y) = x. L(x,K(x,x \ 1),y) = x. R(x,K(y \ 1,y),1 / y) = x. L(1 / x,K(x \ 1,x),y) = 1 / x. L(1 / (1 / x),K(x,x \ 1),y) = 1 / (1 / x). x * (y \ 1) = (x * K(y \ 1,y)) * (1 / y). (x * K(y \ 1,y)) * (1 / y) = x * (y \ 1). (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 * y != (z / u) * u | z / y = x. x / (1 / y) = (x / (y \ 1)) * K(y \ 1,y). (x / (y \ 1)) * K(y \ 1,y) = x / (1 / y). (x * (y \ 1)) * y = R(x * K(y \ 1,y),y \ 1,y). R(x * K(y \ 1,y),y \ 1,y) = (x * (y \ 1)) * y. x != L(1 / (1 / y),K(y,y \ 1),z) | x = (z * K(y,y \ 1)) \ (z * y). 1 / (1 / x) = (y * K(x,x \ 1)) \ (y * x). (x * K(y,y \ 1)) \ (x * y) = 1 / (1 / y). x / (1 / (1 / y)) = (x / y) * K(y,y \ 1). (x / y) * K(y,y \ 1) = x / (1 / (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))). (x \ (x / (1 / (1 / y)))) \ 1 = 1 / (x \ (x / y)). x / (1 / (1 / ((x * y) \ x))) = x * (1 / (1 / y)). (x \ (x / (1 / y))) \ 1 = 1 / (x \ (x / (y \ 1))). 1 / (x \ (x / (y \ 1))) = (x \ (x / (1 / y))) \ 1. (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). (x * (1 / y)) \ x = L(y,y \ 1,x). L(x,x \ 1,y) = (y * (1 / x)) \ y. K(x \ (x / L(y,y \ 1,x)),z) = K(1 / y,z). x != (y * (1 / z)) \ y | x = L(z,1 / z,y). L(x,x \ 1,y) = L(x,1 / x,y). L(x,1 / x,y) = L(x,x \ 1,y). L(x \ 1,x,y) = L(x \ 1,(x \ 1) \ 1,y). L(x \ 1,(x \ 1) \ 1,y) = L(x \ 1,x,y). L(x \ 1,T(x,x \ 1),y) = L(x \ 1,x,y). L(T(x \ 1,x),T(x,x \ 1),y) = (L(x \ 1,x,y) \ 1) \ 1. 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 \ (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 * T(y \ (y / z),z) | x = (y / z) * K(z \ 1,z). x / ((y \ 1) \ 1) = (x / y) * K(y \ 1,y). (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 * T(y,z)) / T(T(y,y \ 1),z) = x * K(T(y,z) \ 1,T(y,z)). x * y = (x * ((y \ 1) \ 1)) * K(y \ 1,y). (x * ((y \ 1) \ 1)) * K(y \ 1,y) = x * y. x * y = (x * T(y,y \ 1)) * K(y \ 1,y). (x * T(y,y \ 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. x * ((y \ 1) \ 1) != (z * K(y,y \ 1)) * y | x = z. (x * K(y,y \ 1)) * K(y \ 1,y) = x. x * y != z * ((y \ 1) \ 1) | x = z * K(y,y \ 1). x = (x * K(y \ 1,y)) * K(y,y \ 1). (x * K(y \ 1,y)) * K(y,y \ 1) = x. x * K(y \ 1,y) = x / K(y,y \ 1). x / K(y,y \ 1) = x * K(y \ 1,y). (x * K(y,y \ 1)) * K(y \ 1,y) = (x / z) * z. (x / y) * y = (x * K(z,z \ 1)) * K(z \ 1,z). (x * K(y,y \ 1)) \ x = K(y \ 1,y). x * K(y \ 1,y) != z / (1 / y) | x = z / (y \ 1). (x / (1 / y)) * K(y,y \ 1) = x / (y \ 1). x != y * K(z \ 1,z) | x * K(z,z \ 1) = y. x * K(y \ 1,y) != z | z * K(y,y \ 1) = x. (x / (y * x)) * K(y \ 1,y) = R(y \ 1,y,x). x != y * K(z,z \ 1) | x * K(z \ 1,z) = y. x * K(y,y \ 1) != z | z * K(y \ 1,y) = x. x != (y * z) / K(y,y \ 1) | x = y * (z / K(y,y \ 1)). (x * y) * K(x \ 1,x) = x * (y / K(x,x \ 1)). (x * K(y,y \ 1)) * K(y \ 1,y) != z | z = x. x * y != z * K(y \ 1,y) | x * ((y \ 1) \ 1) = z. x * K(y \ 1,y) != z * y | z * ((y \ 1) \ 1) = x. (x * y) * (1 / y) = (x * ((y \ 1) \ 1)) * (y \ 1). (x * ((y \ 1) \ 1)) * (y \ 1) = (x * y) * (1 / y). 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. L(x * ((y \ 1) \ 1),z,u) * K(y \ 1,y) = (y \ L(y * x,z,u)) * y. (x * y) * (1 / y) = (x * T(y,y \ 1)) * (y \ 1). (x * T(y,y \ 1)) * (y \ 1) = (x * y) * (1 / y). x != R(y,z,z \ 1) / (z \ 1) | x = y * z. (R(x,y,y \ 1) / (1 / y)) * K(y,y \ 1) = x * y. (x / (y * x)) * z != R(y \ 1,y,x) | z = K(x / (y * x),y). K(x \ 1,x) = K(y / (x * y),x). K(x / (y * x),y) = K(y \ 1,y). K(x / (y * x),(x / (y * x)) \ 1) = 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 \ 1,x) * (y / (x * y)) != z | R(x \ 1,x,y) = z. K((x / (y * x)) \ 1,x / (y * x)) = K(y,x / (y * x)). (x * y) * K(x \ 1,x) = x * (y * K(x \ 1,x)). ((x / y) * (y / x)) * ((x / y) \ 1) = ((y / x) * (x / y)) * (1 / (x / y)). (x * (y / (y * x))) * (x \ 1) = ((y / (y * x)) * x) * (1 / x). ((x / (x * y)) * y) * (1 / y) = (y * (x / (x * y))) * (y \ 1). K(x \ 1,x) * (y / (x * y)) = ((y / (x * y)) \ 1) \ 1. R(x,y,K(x \ 1,x)) = x. x * (y * K(x \ 1,x)) != z | (x * y) * K(x \ 1,x) = 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 != K(y,z / (y * z)) | x = K(y,y \ 1). K((x / (y * x)) \ 1,x / (y * x)) = K(y,y \ 1). x != K((y / z) \ 1,y / z) | x = K(z / y,y / z). K(x,x \ 1) = K((x * y) / y,y / (x * y)). K((x * y) / y,y / (x * y)) = K(x,x \ 1). K(x,x \ 1) * (x * y) = T(x,x \ 1) * y. (K(x,x \ 1) * y) / (x * y) = 1 / (1 / R(1 / x,x,y)). K(x,x \ 1) * y = T(x,x \ 1) * (x \ y). T(x,x \ 1) * (x \ y) = K(x,x \ 1) * y. K(x,x \ 1) * (x * y) = ((x \ 1) \ 1) * y. L(x,y,K(y,y \ 1)) = x. 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 != 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,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(y \ 1,y)) = x. x != L(L(y,z,z \ 1),K(z \ 1,z),1 / z) | x = (1 / z) * (z * y). L(x,y,y \ 1) = (1 / y) * (y * x). (1 / x) * (x * y) = L(y,x,x \ 1). x * y != L(z,K(u \ 1,u),1 / u) | z / y = x. L(x,y,y \ 1) / (y * x) = 1 / y. 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. L(x,1 / (1 / y),K(y,y \ 1)) = x. (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. L(x,y,1 / y) = L(x,y,y \ 1). (1 / x) * y != L((1 / x) * (z * x),u,w) | y = L(z,u,w) * x. x * ((1 / x) * (y * x)) = L(y,x,x \ 1) * x. x != (1 / y) * (y * L(y \ z,u,w)) | x = L((1 / y) * z,u,w). L(L(x \ y,z,u),x,x \ 1) = L((1 / x) * y,z,u). (1 / x) * (y * x) = L(T(y,x),x,x \ 1). L(T(x,y),y,y \ 1) = (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). (1 / x) * (L(x,y,z) \ x) = L(L(x,y,z) \ 1,x,x \ 1). L(L(x,y,z) \ 1,x,x \ 1) = (1 / x) * (L(x,y,z) \ x). (1 / x) * (T(x,y) \ x) = L(T(x,y) \ 1,x,x \ 1). L(T(x,y) \ 1,x,x \ 1) = (1 / x) * (T(x,y) \ x). (1 / x) \ L(L(y,x,x \ 1),z,u) != x * w | L(y,z,u) = w. (1 / x) * (x * y) != z | z = L(y,x,x \ 1). (1 / x) * (x * y) != z | L(y,x,x \ 1) = z. x * y = K(x,x \ 1) * ((1 / (1 / x)) * y). K(x,x \ 1) * ((1 / (1 / x)) * y) = x * y. T(x,y) * L(T(x,y) \ 1,x,x \ 1) = T(x * ((1 / x) * 1),y). T(x,(1 / x) * y) = T(x,(x \ 1) * y). T(x \ 1,x * y) = T(x \ 1,((x \ 1) \ 1) * y). T(x \ 1,((x \ 1) \ 1) * y) = T(x \ 1,x * y). x * ((1 / x) * (y * x)) != z | L(y,x,x \ 1) * x = z. ((x \ 1) \ 1) * (x \ y) = K(x,x \ 1) * y. K(x,x \ 1) \ (y * ((x \ 1) \ 1)) = x * T(y,(x \ 1) \ 1). ((x \ 1) \ 1) * y = x * (K(x,x \ 1) * y). x * (K(x,x \ 1) * y) = ((x \ 1) \ 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). K(x \ 1,x) * y = (1 / x) \ ((x \ 1) * y). (1 / x) \ ((x \ 1) * y) = K(x \ 1,x) * y. (x \ 1) * ((1 / x) \ y) = K(x \ 1,x) * y. K((1 / T(x,y)) \ 1,1 / T(x,y)) * (((1 / T(x,y)) \ 1) \ z) = T(1 / (1 / x),y) \ z. 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) \ (K(x \ 1,x) * ((1 / x) * (y * z))) = L(L(z,y,1 / x),(1 / x) * y,K(x \ 1,x)). x * y = (1 / (1 / x)) * (K(x,x \ 1) * y). (1 / (1 / x)) * (K(x,x \ 1) * y) = x * y. K(x,x \ 1) * y = x * ((1 / (1 / x)) \ y). x * ((1 / (1 / x)) \ y) = K(x,x \ 1) * y. K(x,x \ 1) * ((y \ (1 / (1 / x))) * y) = x * K(y \ (1 / (1 / x)),y). x != ((y \ 1) \ 1) * (y \ (T(y,z) \ 1)) | x = y * (T(y,z) \ (1 / y)). K(x,x \ 1) * (T(x,y) \ 1) = x * (T(x,y) \ (1 / x)). x \ y = K(x,x \ 1) * (((x \ 1) \ 1) \ y). K(x,x \ 1) * (((x \ 1) \ 1) \ y) = x \ y. x * y != ((x \ 1) \ 1) * (z * (x \ 1)) | y = z * (1 / x). K(x,x \ 1) * (y * (x \ 1)) = y * (1 / x). (1 / x) * (K(x \ 1,x) * y) = (x \ 1) * y. (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)). (1 / x) * y = K(x,x \ 1) * ((x \ 1) * y). K(x,x \ 1) * ((x \ 1) * y) = (1 / x) * y. (1 / (1 / x)) \ y = K(x,x \ 1) * (x \ y). K(x,x \ 1) * (x \ y) = (1 / (1 / x)) \ y. x * ((1 / x) * y) = K(x,x \ 1) * L(y,x \ 1,x). K(x,x \ 1) * L(y,x \ 1,x) = x * ((1 / x) * y). x * y != (z / u) \ z | x \ u = y. K(x / y,(x / y) \ 1) \ y = (((x / y) \ 1) \ 1) \ x. (1 / x) \ (K(x,x \ 1) * y) = (x \ 1) \ y. K(x,x \ 1) * y = (1 / x) * ((x \ 1) \ y). (1 / x) * ((x \ 1) \ y) = K(x,x \ 1) * y. K(x,x \ 1) \ ((1 / x) * y) = (x \ 1) * y. K(x,x \ 1) \ ((1 / x) * y) != z | z = (x \ 1) * y. K(x,x \ 1) \ ((1 / x) * y) != z | (x \ 1) * y = z. (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. x != (y \ 1) \ (T(y,z) \ 1) | x = (y \ T(y,z)) \ 1. (1 / x) \ (K(x,x \ 1) * (T(x,y) \ 1)) = (x \ T(x,y)) \ 1. x != (y / z) * ((z \ y) \ ((y / z) \ u)) | x = (z \ y) \ u. K(x,x \ 1) * ((1 / x) \ y) = (x \ 1) \ y. x * y != z \ (z * (x * u)) | y = u. (1 / x) \ ((x \ 1) * (K(x,x \ 1) * y)) = y. x * y != K(z,z \ 1) * ((1 / z) \ u) | x \ ((z \ 1) \ u) = y. ((x \ 1) \ 1) \ ((x \ 1) \ y) = x \ ((1 / x) \ y). K(x,x \ 1) * (((x \ y) / y) * x) = (x \ 1) \ ((x \ y) / y). x != (1 / y) \ ((y \ 1) * z) | x = K(y \ 1,y) * z. x = K(y \ 1,y) * (K(y,y \ 1) * x). K(x \ 1,x) * (K(x,x \ 1) * y) = y. x * y != (1 / z) \ ((z \ 1) * (K(z,z \ 1) * u)) | x \ u = y. K(x \ 1,x) \ y = K(x,x \ 1) * y. K(x \ 1,x) * y != (1 / x) \ ((x \ 1) * z) | y = z. x = K(y,y \ 1) * (K(y \ 1,y) * x). K(x,x \ 1) * (K(x \ 1,x) * y) = y. (1 / x) * y = (x \ 1) * (K(x,x \ 1) * y). (x \ 1) * (K(x,x \ 1) * y) = (1 / x) * 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. K(x \ 1,x) * (T(x,x \ 1) * y) = x * y. K(x \ 1,x) * (((x \ 1) \ 1) * y) = x * y. K(x \ 1,x) * (x * y) = (1 / (1 / x)) * y. K(x \ 1,x) * (x \ y) = ((x \ 1) \ 1) \ y. K(x \ 1,x) * (y * (1 / x)) = y * (x \ 1). K(x \ 1,x) * ((1 / (1 / x)) \ y) = x \ y. x != K(y,y \ 1) * (y * z) | x = ((y \ 1) \ 1) * z. K(x \ 1,x) \ (x * y) = ((x \ 1) \ 1) * y. K(x \ 1,x) * (K(x,x \ 1) * y) != z | z = y. K(x \ 1,x) * R(K(x,x \ 1) * (y * x),z,u) = (x \ R(x * y,z,u)) * x. x * y != K(z,z \ 1) * (K(z \ 1,z) * u) | x \ u = y. ((x \ 1) \ 1) \ y = x \ (K(x \ 1,x) * y). x \ (K(x \ 1,x) * y) = ((x \ 1) \ 1) \ y. T(x,x \ 1) \ y = x \ (K(x \ 1,x) * y). x \ (K(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 = ((x \ 1) \ 1) * (K(x \ 1,x) * y). ((x \ 1) \ 1) * (K(x \ 1,x) * y) = x * y. x != (1 / y) * L((1 / y) \ z,u,w) | x = L(z * y,u,w) / y. (x \ 1) * (K(x,x \ 1) * L((1 / x) \ y,z,u)) = L(y * x,z,u) / x. K(x \ 1,x) * (T(T(x,x \ 1),y) * z) = x * (T(T(x,x \ 1),y) * (T(x,x \ 1) \ z)). x * (T(T(x,x \ 1),y) * (T(x,x \ 1) \ z)) = K(x \ 1,x) * (T(T(x,x \ 1),y) * z). K(x \ 1,x) * y = (1 / (1 / x)) * (x \ y). (1 / (1 / x)) * (x \ y) = K(x \ 1,x) * y. x * y != K(z \ 1,z) * (z * u) | ((1 / (1 / z)) * u) / y = x. ((1 / (1 / x)) * y) / (K(x \ 1,x) * y) = x. x * y != K(z \ 1,z) * (z \ u) | x \ (((z \ 1) \ 1) \ u) = y. x \ (((y \ 1) \ 1) \ x) = T(x \ (y \ x),y). T(x \ (y \ x),y) = x \ (((y \ 1) \ 1) \ x). K(x \ 1,x) * (1 / T(x,y)) = x \ (x / T(x,y)). (x \ 1) \ (K(x,x \ 1) * y) = (((x \ 1) \ 1) \ 1) \ y. x * (T(T(x,y),z) * (T(x,x \ 1) \ u)) = T(T(x,y),z) * (K(x \ 1,x) * u). T(R(x,y,z),R(x,y,z) \ 1) \ ((x * y) * z) = K(R(x,y,z) \ 1,R(x,y,z)) * (y * z). R(x,K(x \ 1,x),y) = x. T(x,y) * (K(x \ 1,x) * z) = (T(x,y) * K(x \ 1,x)) * z. (T(x,y) * K(x \ 1,x)) * z = T(x,y) * (K(x \ 1,x) * z). T(x \ ((1 / y) \ x),1 / y) = x \ ((y \ 1) \ x). x * (1 / T(y,z)) != y \ (y / T(y,z)) | x = T(K(y \ 1,y),z). K(x \ 1,x) = T(K(x \ 1,x),y). 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). T((x \ 1) * x,y) = K(x \ 1,x). x * K(y \ 1,y) != z | K(y \ 1,y) * x = z. (K(x,x \ 1) * y) * K(x \ 1,x) = y. K(x,x \ 1) * (y * K(x \ 1,x)) = y. x != (y * K(z,z \ 1)) * K(z \ 1,z) | x = y. K(x \ 1,x) * (y * K(x,x \ 1)) = y. x != (y * T(z,z \ 1)) * K(z \ 1,z) | x = y * z. K(x \ 1,x) * (y * T(x,x \ 1)) = y * x. x != (y / z) * K(z \ 1,z) | x = y / ((z \ 1) \ 1). K(x \ 1,x) * (y / x) = y / ((x \ 1) \ 1). x != (y / (z \ 1)) * K(z \ 1,z) | x = y / (1 / z). K(x \ 1,x) * (y / (x \ 1)) = y / (1 / x). 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 * y != ((x * z) * K(u,u \ 1)) * K(u \ 1,u) | y = z. (K(x \ 1,x) * y) * K(x,x \ 1) = y. x != K(y \ 1,y) * z | x = (y \ 1) * ((1 / y) \ z). 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 = (1 / (1 / y)) * z. (x * y) * K(x \ 1,x) = (1 / (1 / x)) * y. x != K(y \ 1,y) * ((1 / y) * z) | x = (y \ 1) * z. ((1 / x) * y) * K(x \ 1,x) = (x \ 1) * y. x != K(y \ 1,y) * ((y \ 1) \ z) | x = (1 / y) \ z. ((x \ 1) \ y) * K(x \ 1,x) = (1 / x) \ y. L(x \ 1,x,K(y \ 1,y)) = (x * K(y \ 1,y)) \ K(y \ 1,y). (x * K(y \ 1,y)) * L(z,x,K(y \ 1,y)) = K(y \ 1,y) * (x * z). T(x * K(y \ 1,y),y) = K(y \ 1,y) * T(x,y). K(x \ 1,x) * y != z | z * K(x,x \ 1) = y. K(x \ 1,x) * (y * K(x,x \ 1)) != z | z = y. (1 / x) * (y * K(x \ 1,x)) = (x \ 1) * y. x \ (y * K(x \ 1,x)) = T(x,x \ 1) \ y. ((x \ 1) \ 1) * (y * K(x \ 1,x)) = x * y. x * K(y \ 1,y) != z | K(y,y \ 1) * z = x. x * T(y,y \ 1) = K(y,y \ 1) * (x * y). K(x,x \ 1) * (y * x) = y * T(x,x \ 1). x * ((y \ 1) \ 1) = K(y,y \ 1) * (x * y). K(x,x \ 1) * (y * x) = y * ((x \ 1) \ 1). x * K(y,y \ 1) = K(y,y \ 1) * x. K(x,x \ 1) * y = y * K(x,x \ 1). R((K(x,x \ 1) * y) / z,z,K(x \ 1,x)) = y / (z * K(x \ 1,x)). (x * (T(x,y) / x)) * K(x \ 1,x) = T(1 / (1 / x),y). x * ((y \ 1) \ 1) = (K(y,y \ 1) * x) * y. (K(x,x \ 1) * y) * x = y * ((x \ 1) \ 1). K(x \ 1,x) * y != z | z = y * K(x \ 1,x). K(x \ 1,x) * y != z | y * K(x \ 1,x) = z. K(x \ 1,x) * y != (x \ 1) * z | y = (1 / x) * z. ((x \ 1) * y) * K(x,x \ 1) = (1 / x) * y. K(x \ 1,x) * y != (1 / x) \ z | y = (x \ 1) \ z. ((1 / x) \ y) * K(x,x \ 1) = (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). (1 / x) * y = (x \ 1) * (y * K(x,x \ 1)). (x \ 1) * (y * K(x,x \ 1)) = (1 / x) * y. x != y * K(z,z \ 1) | K(z \ 1,z) * x = y. x * K(y,y \ 1) != z | K(y \ 1,y) * z = x. x != y * K(z,z \ 1) | x = (y / z) * ((z \ 1) \ 1). K(x,x \ 1) * y = (y / x) * ((x \ 1) \ 1). (x / y) * ((y \ 1) \ 1) = K(y,y \ 1) * x. T(x,K(y,y \ 1)) = x. x * y != x * K(z,z \ 1) | T(K(z,z \ 1),x) = y. T(K(x,x \ 1),y) = K(x,x \ 1). x * y != K(z,z \ 1) * u | x \ (u * K(z,z \ 1)) = y. (x * K(y,y \ 1)) \ ((T(x,K(y,y \ 1)) * z) * K(y,y \ 1)) = L(z,T(x,K(y,y \ 1)),K(y,y \ 1)). (K(x,x \ 1) * y) * x = y * T(x,x \ 1). x * y != T(z * x,K(u,u \ 1)) | T(z,x) = y. T(x * y,K(z,z \ 1)) != y * u | T(x,y) = u. K(x,x \ 1) * y != z | y * K(x,x \ 1) = z. 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,y \ 1) != z | K(y,y \ 1) * x = z. ((x * y) * K(z,z \ 1)) / (K(z,z \ 1) * y) = R(x,y,T(K(z,z \ 1),y)). x * K(x,x \ 1) = T(x,T(x,y) \ 1). T(x,T(x,y) \ 1) = x * K(x,x \ 1). x != y * K(y,y \ 1) | x = (y \ 1) \ 1. T(x,T(x,y) \ 1) = (x \ 1) \ 1. x != y * K(y,y \ 1) | x = T(y,y \ 1). T(x,T(x,y) \ 1) = T(x,x \ 1). (T(x,y) \ x) / ((x \ 1) \ 1) = T(x,y) \ 1. ((1 / (1 / x)) * y) * (1 / x) = (x * y) * (x \ 1). ((1 / x) \ y) * (1 / x) = ((x \ 1) \ y) * (x \ 1). ((x \ 1) \ 1) \ (x * y) = y * K(x \ 1,x). K(x,x \ 1) * (((x \ y) / y) * x) != z | x * ((x \ y) / y) = z. (x \ y) * x = (((x \ 1) \ 1) \ y) * ((x \ 1) \ 1). (((x \ 1) \ 1) \ y) * ((x \ 1) \ 1) = (x \ y) * x. ((1 / (1 / x)) \ y) * x = (x \ y) * ((x \ 1) \ 1). (T(x,y) \ 1) * T(x,x \ 1) = T(x,y) \ x. ((x \ 1) \ 1) \ y != z | (x \ y) * K(x \ 1,x) = z. 1 / (x \ ((y \ 1) \ x)) = (x \ ((1 / y) \ x)) \ 1. K(L(x,y,z) \ 1,L(x,y,z)) * (x / L(x,y,z)) = x * T(L(x,y,z) \ 1,x). x != y * K(y \ z,z \ y) | x = z * (1 / (1 / (z \ y))). K(x \ y,y \ x) * x = y * (1 / (1 / (y \ 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) \ 1) \ y) * ((x \ 1) \ 1) != y * z | K(x \ y,x) = z. 1 / (x \ (y \ x)) = (x \ ((1 / (1 / y)) \ x)) \ 1. (x \ ((1 / (1 / y)) \ x)) \ 1 = 1 / (x \ (y \ x)). x * (1 / (1 / (x \ y))) != z * y | K(y \ x,x \ y) = z. 1 / (1 / (x \ (y \ x))) = x \ ((1 / (1 / y)) \ x). x * (1 / (1 / (x \ (y \ x)))) != z * u | ((1 / (1 / y)) \ x) / u = z. 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 \ 1) * y = L(((x \ 1) \ 1) \ y,x,x \ 1). L(((x \ 1) \ 1) \ y,x,x \ 1) = (x \ 1) * y. L(x,y,z) * L(L(x,y,z) \ 1,x,x \ 1) = L(x * (1 / (1 / (x \ 1))),y,z). L(x * K(y \ 1,y),y,y \ 1) = (y \ 1) * (y * x). L((x \ 1) * ((1 / x) \ y),x,x \ 1) = (x \ 1) * (x * y). R(x \ 1,x,y) = ((y / (x * y)) \ 1) \ 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). K(x \ 1,x) \ (x * y) = (((y / (x * y)) \ 1) \ 1) \ y. K(x \ 1,x) \ (x * y) = R(x \ 1,x,y) \ y. R(x \ 1,x,y) \ y = K(x \ 1,x) \ (x * y). x != K(y \ 1,y) \ (y * z) | x = ((y \ 1) \ 1) * z. R(x \ 1,x,y) \ y = ((x \ 1) \ 1) * y. x != ((y \ z) \ z) * u | x = T(y,y \ z) * u. R(x \ 1,x,y) \ y = T(x,x \ 1) * y. R(x,1 / x,y) \ y = (((1 / x) \ 1) \ 1) * y. (((x / (y * x)) \ 1) \ 1) \ x = T(y,y \ 1) * x. 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). x != y / ((z \ 1) * y) | x = R(z,z \ 1,y). R(x,1 / x,y) = R(x,x \ 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). L(R(x,x \ 1,y),x \ 1,x) = R(1 / (1 / x),1 / x,y). (((x / y) \ 1) \ 1) \ x = T(y / x,(y / x) \ 1) * x. T(x / y,(x / y) \ 1) * y = (((y / x) \ 1) \ 1) \ y. (((x / y) \ 1) \ 1) * y = (((y / x) \ 1) \ 1) \ y. (((x / y) \ 1) \ 1) \ x = (((y / x) \ 1) \ 1) * x. x != (((y / z) \ 1) \ 1) * z | x = z * (((z \ y) \ 1) \ 1). (((x / y) \ 1) \ 1) \ x = x * (((x \ y) \ 1) \ 1). ((R(x,y,z) \ 1) \ 1) \ ((x * y) * z) = ((x * y) * z) * (((((x * y) * z) \ (y * z)) \ 1) \ 1). ((x * y) * z) * (((((x * y) * z) \ (y * z)) \ 1) \ 1) = ((R(x,y,z) \ 1) \ 1) \ ((x * y) * z). 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). T(K(1 / (x \ 1),y),T(x,x \ 1)) = K(T(x,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). K((x \ 1) \ 1,y) = T(K(x,y),x). T(K(x,y),x) = K((x \ 1) \ 1,y). x * K((x \ 1) \ 1,y) = K(x,y) * x. R(1 / (1 / (1 / x)),x,y) = 1 / (1 / R(1 / x,x,y)). T(R(1 / (1 / (1 / x)),x,y),x * y) = T(1 / (1 / (y / (x * y))),x * y). 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). ((1 / x) \ y) / y = R(1 / (1 / x),x \ 1,(1 / x) \ y). R(1 / (1 / x),x \ 1,(1 / x) \ y) = ((1 / x) \ y) / y. ((1 / x) \ y) \ (y * R(1 / (1 / x),x \ 1,(1 / x) \ y)) = K(y,((1 / x) \ y) / y). x / ((L(y \ 1,y,x) \ 1) \ 1) = x * T(y,y \ 1). T(K(x,y),L(x \ 1,x,y) \ 1) = K(y \ (y * T(x,x \ 1)),y). x * (1 / y) != (y * z) * (y \ 1) | x = (1 / (1 / y)) * z. (x / (x * y)) * y = (1 / (1 / y)) * (x / (x * y)). (1 / (1 / x)) * (y / (y * x)) = (y / (y * x)) * x. (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. 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). (1 / x) \ (x * (T(x,y) \ (1 / x))) = (x \ T(x,y)) \ 1. L(x,K(y \ 1,y),T(y,z)) = x. R(x,y,1 / y) / (1 / y) = x * (y * K(y \ 1,y)). R(x,y,y \ 1) / (1 / y) = x * (y * K(y \ 1,y)). R(x,y,y \ 1) / (1 / y) = x * (1 / (1 / y)). (x * (1 / (1 / y))) * K(y,y \ 1) = x * y. K(x,x \ 1) * (y * (1 / (1 / x))) = y * x. (x * y) * K(y \ 1,y) = x * (1 / (1 / y)). x * K(y,y \ 1) = (x / (1 / (1 / y))) * y. (x / (1 / (1 / y))) * y = x * K(y,y \ 1). (x * y) \ (x * (1 / (1 / y))) = K(y \ 1,y). (x * y) \ ((z * K(x,x \ 1)) * y) = R(T(z / (1 / (1 / x)),x * y),x,y). R(T(x / (1 / (1 / y)),y * z),y,z) = (y * z) \ ((x * K(y,y \ 1)) * z). L(K(x \ 1,x),x,y) = K(x \ 1,x). x != L(K(y \ 1,y),y,z) | x = K((z * y) \ z,z \ (z * y)). K(x \ 1,x) = K((y * x) \ y,y \ (y * x)). K((x * y) \ x,x \ (x * y)) = K(y \ 1,y). 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) \ 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)). x * K(y \ x,x \ y) = y * (((y \ x) \ 1) \ 1). ((x \ y) * z) * K(y \ x,x \ y) = (1 / (1 / (x \ y))) * z. 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))). x != y * K(z \ u,u \ z) | x = K(z \ u,u \ z) * y. x * (((x \ y) \ 1) \ 1) = K(x \ y,y \ x) * y. K(x \ y,y \ x) * y = x * (((x \ y) \ 1) \ 1). ((x \ (x / y)) * z) * K(y,y \ 1) = (1 / (1 / (x \ (x / y)))) * z. T(x,y) * ((1 / x) * (T(x,y) \ x)) = T(x * ((1 / x) * 1),y). T(x,y) * ((1 / x) * (T(x,y) \ x)) = T(x * (1 / x),y). T(x,y) * ((1 / x) * (T(x,y) \ x)) = T(K(x,x \ 1),y). x * y != T(K(z,z \ 1),u) | x \ K(z,z \ 1) = y. T(x,y) \ K(x,x \ 1) = (1 / x) * (T(x,y) \ x). (x \ 1) \ ((x \ y) / y) != z | x * ((x \ y) / y) = z. T(K(x,y),L(x \ 1,x,y) \ 1) = K(T(x,x \ 1),y). T(K(x,y),L(x \ 1,x,y) \ 1) = K((x \ 1) \ 1,y). T(K(x,y),((y * x) \ y) \ 1) = K((x \ 1) \ 1,y). (((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)) = K((y \ 1) \ 1,x). x * y != (1 / z) * (x * K(z \ 1,z)) | T(z \ 1,x) = y. T(x \ 1,y) = (x \ 1) * (x * T(x \ 1,y)). (x \ 1) * (x * T(x \ 1,y)) = T(x \ 1,y). (x \ 1) \ T(x \ 1,y) = x * T(x \ 1,y). x != y * T(y \ 1,z) | x = K(z \ (z / y),z). (x \ 1) \ T(x \ 1,y) = K(y \ (y / x),y). K(x \ (x / y),x) = (y \ 1) \ T(y \ 1,x). T(x \ 1,y) * z != (x \ 1) \ T(x \ 1,y) | T(x,T(x \ 1,y)) = z. T(x,T(x \ 1,y)) = (x \ 1) \ 1. 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). T(x,T(x \ 1,y)) = T(x,x \ 1). 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). K(x,y) = K((x \ 1) \ 1,y). K((x \ 1) \ 1,y) = K(x,y). x != K((y \ 1) \ 1,z) | x = T(K(y,z),y). K(x,y) = T(K(x,y),x). T(K(x,y),x) = K(x,y). x * K(x,y) = K(x,y) * x. K(x,y) * x = x * K(x,y). T(x,K(x,y)) = x. (x * K(x,y)) / x = 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) * x != z | x * K(x,y) = z. K(x,y) * T(x,z) = T(x,z) * K(x,y). T(x,y) * K(x,z) = K(x,z) * T(x,y). (x * y) / x = T((x * y) / x,K(y,z)). T((x * y) / x,K(y,z)) = (x * y) / x. K(x,y) * R(x,z,u) != w | R(x,z,u) * K(x,y) = w. T(K(x,y),x) != z | z = K(x,y). T(K(x,y),x) != z | K(x,y) = z. K((x \ 1) \ 1,y) != z | K(x,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. T(K(x,y),(z * x) / z) = K(x,y). T(x,R(K(x,y),z,u)) = x. K(x,R(K(x,y),z,u)) = 1. ((x \ (x / (y \ 1))) * z) * K(y \ 1,y) = (1 / (1 / (x \ (x / (y \ 1))))) * z. x != K((y \ 1) \ 1,z) | x = K(y,z). (((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)) = K(y,x). T(x * y,K(y,y \ 1)) = y * T(x,(y \ 1) \ 1). T(x,y) = T(x,(y \ 1) \ 1). T(x,(y \ 1) \ 1) = T(x,y). T(x,y \ 1) = T(x,1 / y). T(x,1 / y) = T(x,y \ 1). T(x,T(y,y \ 1)) = T(x,y). T(x,y) = T(x,1 / (1 / y)). T(x,1 / (1 / y)) = T(x,y). T(x,T(y \ 1,y)) = T(x,y \ 1). T(x,T((y \ 1) \ 1,z)) = T(x,T(y,z)). T(x,T(y \ 1,z)) = T(x,T(1 / y,z)). T(x,T(1 / y,z)) = T(x,T(y \ 1,z)). T(x,R(y \ 1,y,z)) = T(x,z / (y * z)). 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). (1 / x) * T(y,x \ 1) = y * (1 / x). ((1 / x) \ (y / x)) * (1 / x) = T(y,x \ 1) / x. T(x,x \ 1) * T(y,x) = y * T(x,x \ 1). ((x \ 1) \ 1) * T(y,x) = y * T(x,x \ 1). x != T(y,T(y \ 1,z)) | x = T(y,y \ 1). T(x,T(1 / x,y)) = T(x,x \ 1). T(x,x \ 1) * T(x \ 1,y) = x * T(1 / x,y). R(T(x,x \ 1),y,z) \ R(x,y,z) = (R(x,y,z) \ (R(x,y,z) / x)) * x. (1 / x) * T(y,x \ 1) = y * (1 \ (1 / x)). (1 / (1 / x)) * (x \ y) = (y / x) * (1 / (1 / x)). 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)). K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = R((x \ 1) * T(x,x \ 1),y,z). (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(x,R(1 / y,y,z)) = T(x,R(y \ 1,(y \ 1) \ 1,z)). T(x,R(y \ 1,(y \ 1) \ 1,z)) = T(x,R(1 / y,y,z)). T((K(x,x \ 1) * y) * x,x \ 1) = R((x \ 1) \ y,1 / x,x). ((1 / (x \ y)) \ x) * (1 / (x \ y)) = T(y,(x \ y) \ 1) / (x \ y). T(x,(y \ x) \ 1) / (y \ x) = ((1 / (y \ x)) \ y) * (1 / (y \ x)). ((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 != T(y,R(1 / z,z,y)) | x = (z * ((y * (z \ 1)) / y)) * y. T(x,R(y \ 1,(y \ 1) \ 1,x)) = (y * ((x * (y \ 1)) / x)) * 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. T(x,R((y \ x) \ 1,((y \ x) \ 1) \ 1,x)) != z | x * K(x,y / x) = z. ((1 / (1 / x)) \ y) / y = 1 / (1 / ((x \ y) / y)). ((1 / x) \ y) / y = 1 / (1 / (((x \ 1) \ y) / y)). 1 / (1 / (((x \ 1) \ y) / y)) = ((1 / x) \ y) / y. L(K(x,x \ 1) * y,z,u) * K(x \ 1,x) = (x \ L(x * (y / x),z,u)) * x. x != ((y / z) * (z / y)) * (1 / (z / y)) | x = y / z. ((x / y) * (y / x)) * ((x / y) \ 1) = y / x. x * y != z / (u \ z) | u / y = x. 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). 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. T(1 / (1 / (x / (y * x))),y * x) = R(T(1 / (1 / (1 / y)),y * x),y,x). x != R(T(y / (1 / (1 / z)),z * u),z,u) | x = (z * u) \ ((y * K(z,z \ 1)) * u). T(1 / (1 / (x / (y * x))),y * x) = (y * x) \ ((1 * K(y,y \ 1)) * x). T(1 / (1 / (x / (y * x))),y * x) = (y * x) \ (K(y,y \ 1) * x). 1 / (1 / ((x * y) \ y)) = (x * y) \ (K(x,x \ 1) * y). (x * y) \ (K(x,x \ 1) * y) = 1 / (1 / ((x * y) \ y)). (x * y) * (1 / (1 / ((x * y) \ y))) = K(x,x \ 1) * y. K(x \ (y * x),(y * x) \ x) = K(y,y \ 1). K(T(x,y),(x * y) \ y) = K(x,x \ 1). x != K(T(y,z),(y * z) \ z) | 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) \ 1) * K(x,x \ 1) = 1 / T(x,y). x * (T(x,y) \ (1 / x)) = 1 / T(x,y). x * y != T(z,u) \ K(z,z \ 1) | x \ (1 / T(z,u)) = y. (1 / x) \ (1 / T(x,y)) = T(x,y) \ x. (1 / x) \ (1 / T(x,y)) = (x \ T(x,y)) \ 1. K(x \ 1,x) * (1 / T(x,y)) = T(x,y) \ 1. (1 / T(x,y)) * K(x \ 1,x) = T(x,y) \ 1. x != (1 / y) \ (1 / T(y,z)) | x = T(y,z) \ y. (x \ T(x,y)) \ 1 = T(x,y) \ x. (x \ 1) \ (T(x,y) \ 1) = T(x,y) \ x. (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 \ (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 * T(x \ 1,y)) \ 1 = T(x \ 1,y) \ (x \ 1). (x \ 1) * (T(x,y) \ x) = T(x,y) \ 1. K(T(x,y) \ 1,T(x,y)) = K(x \ 1,x). x != K(y \ 1,y) * (1 / T(y,z)) | x = y \ (y / T(y,z)). T(x,y) \ 1 = x \ (x / T(x,y)). x \ (x / T(x,y)) = T(x,y) \ 1. x * (T(x,y) \ 1) = x / T(x,y). T(x,y) \ x = x / T(x,y). x / T(x,y) = T(x,y) \ x. (1 / T(x,y)) * x = T(x,y) \ x. 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). (T(x,y) \ x) * x = x * (T(x,y) \ x). 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. 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 * K(y,x)) / x != z | z = K(y,x). (x * K(y,x)) / x != z | K(y,x) = z. 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). K(x,y) * T(y,z) = T(y,z) * K(x,y). T(x,y) * K(z,x) = 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). K(x,y) * T(y,z) = (y * K(x,y)) * (y \ T(y,z)). (x * K(y,x)) * (x \ T(x,z)) = K(y,x) * T(x,z). T(x \ T(x,y),y) = x \ T(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 * y) \ ((x * K(z,x)) * y) = R(T(K(z,x),x * y),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(x * T(x \ 1,y),y) = x * T(x \ 1,y). ((x * y) / x) / y = y \ ((x * y) / x). x != K(T(y,z) \ 1,T(y,z)) | x = K((y * z) \ z,T(y,z)). K(x \ 1,x) = K((x * y) \ y,T(x,y)). K((x * y) \ y,T(x,y)) = K(x \ 1,x). x * y != K(T(z,u) \ 1,T(z,u)) | K(z \ 1,z) / y = x. K(x \ 1,x) / T(x,y) = T(x,y) \ 1. T(x,y) * K(x \ 1,x) = T(1 / (1 / x),y). L(x,K(y \ 1,y),T(T(y,z),u)) = x. (x * T(y,z)) / T(T(y,y \ 1),z) = x * K(y \ 1,y). ((x \ T(x,y)) * x) * z = R(T(x,y),x \ 1,x) * (((x \ 1) * x) * z). R(T(x,y),x \ 1,x) * (((x \ 1) * x) * z) = ((x \ T(x,y)) * x) * z. L(x \ y,x,T(x,z) \ x) = (x * (T(x,z) \ x)) \ ((T(x,z) \ x) * y). (x * (T(x,y) \ x)) \ ((T(x,y) \ x) * z) = L(x \ z,x,T(x,y) \ x). T(K(x,y),T(y,z)) = K(x,y). 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). x * (T(x,y) \ (y * (x \ T(x,y)))) = L(y,x \ T(x,y),x). x != ((y * z) / y) / z | x = (1 / z) * ((y * z) / y). x \ ((y * x) / y) = (1 / x) * ((y * x) / y). (1 / x) * ((y * x) / y) = x \ ((y * x) / y). 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((x * y) \ y,y \ (x * y)) = K(x \ 1,x). (x \ 1) * (x * ((y * (x \ 1)) / y)) = (y * (x \ 1)) / y. x * ((1 / T(x,y)) * K(x \ 1,x)) = T(x,y) \ x. 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 * 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((1 / x) \ 1,y) = x \ T(x,y). x != T(y,z) / y | x = (1 / y) * T(y,z). x \ T(x,y) = (1 / x) * T(x,y). (1 / x) * T(x,y) = x \ T(x,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. R((1 / x) * ((y * x) / y),x,x \ y) = (1 / x) * ((y \ T(y,x)) * x). (x \ T(x,y)) / (y \ 1) = y * (T(x,y) / 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). (T(x,y) * z) / (x * z) != u | R(x \ T(x,y),x,z) = u. K(x,x \ T(x,y)) = 1. (x \ T(x,y)) * T(x,z) = T(x,z) * (x \ T(x,y)). T(x,y) * (x \ T(x,z)) = (x \ T(x,z)) * T(x,y). 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. 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). (((x * y) / x) \ y) \ y = (x * y) / x. T(x * T(x \ 1,x),y) = K(T(x,z) \ (T(x,z) / T(x,y)),T(x,z)). K(T(x,y) \ (T(x,y) / T(x,z)),T(x,y)) = T(x * T(x \ 1,x),z). (((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). (((L(x,y,y \ 1) * y) / y) \ ((1 / y) * (x * y))) * ((y * ((1 / y) * (x * y))) / y) = (1 / y) * (x * y). x != T(y,R(1 / z,z,u)) | x = T(y,R(z \ 1,z,u)). T(x,x / (x * y)) = T(x,R(y \ 1,y,x)). T(x,R(y \ 1,y,x)) = T(x,x / (x * y)). L(x \ 1,x,T(y,x) \ y) = x \ 1. K(x \ 1,x) * y = (x * y) * ((((x * y) \ y) \ 1) \ 1). (x * y) * ((((x * y) \ y) \ 1) \ 1) = K(x \ 1,x) * y. (x \ T(x,y)) / (y \ 1) = y * (x \ T(x,y)). (x * (y \ T(y,x))) * (x \ 1) = y \ T(y,x). R(x,y,z) \ T(R(x,y,z),R(x \ 1,(x \ 1) \ 1,R(x,y,z))) = (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)). T(x,y \ ((x * y) / x)) = x. T(x,T(y,x) \ y) = x. T(T(x,y) \ x,y) = T(x,y) \ x. (T(x,y) \ x) * y = y * (T(x,y) \ x). K(K(x,y),T(z,y) \ z) = 1. K(x \ T(x,y),T(z,y) \ z) = 1. x * y != K(z \ T(z,u),T(w,u) \ w) | x \ 1 = y. (x \ T(x,y)) \ 1 = 1 / (x \ T(x,y)). 1 / (x \ T(x,y)) = (x \ T(x,y)) \ 1. 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)) \ (x * x) = (T(y,x) \ y) * x. x != (y \ T(y,z)) \ 1 | x = T(y,z) \ y. 1 / (x \ T(x,y)) = T(x,y) \ x. x * ((T(x,y) \ x) \ 1) = T(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)). (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. 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. 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. 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. R(K(x,y) \ y,K(x,y),z) = (y * z) / (K(x,y) * z). K(x,y) * (z * T(z \ L((y \ 1) \ z,y \ 1,y * K(x,y)),u)) = (K(x,y) * T(y,u)) * z. (x * (1 / T(x,y))) * K(x \ 1,x) = T(x,y) \ x. T(x,y) * (x \ T(x,z)) = (x \ T(x,y)) * T(x,z). (x \ T(x,y)) * T(x,z) = T(x,y) * (x \ T(x,z)). (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). (T(x,y) * T(x,z)) / ((x \ T(x,y)) * T(x,z)) = x. R(x,x \ T(x,y),T(x,z)) = x. L(x,x \ T(x,y),x) = x. (x * T(y,z)) / T((y \ 1) \ 1,z) = x * K(y \ 1,y). 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. x != 1 / (y \ ((z * y) / z)) | x = T(z,R(y,y \ 1,z)) \ z. ((x * y) / x) \ y = T(x,R(y,y \ 1,x)) \ x. T(x,R(y,y \ 1,x)) \ x = ((x * y) / x) \ y. 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,R(T(y,x),T(y,x) \ 1,x)) \ x = y \ T(y,x). 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. (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)). ((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 * K(y \ 1,y)) * T((y \ 1) \ 1,z) = x * T(y,z). T(x,R(y,x,(y * x) \ x)) \ x = K(x,y) \ 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). 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)). 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 * (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). (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. R((x / y) \ T(x / y,z),x / y,y) = (y * T(y \ x,z)) / 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). (R(x,y,z) \ R(T(x,u),y,z)) \ 1 = R(T(x,u),y,z) \ R(x,y,z). K(T(1 / T(x,y),T(x,z)),T(x,z)) = T(x * T(x \ 1,x),y). K(T(1 / T(x,y),T(x,z)),T(x,z)) = T((x \ 1) * x,y). x != T((y \ 1) * y,z) | x = K(y \ 1,y). K(T(1 / T(x,y),T(x,z)),T(x,z)) = K(x \ 1,x). K(x \ 1,x) / T(x,y) = T(1 / T(x,y),T(x,z)). T(1 / T(x,y),T(x,z)) = K(x \ 1,x) / T(x,y). x != K(y \ 1,y) / T(y,z) | x = T(y,z) \ 1. T(1 / T(x,y),T(x,z)) = T(x,y) \ 1. K(T(x,y) \ 1,T(x,z)) = K(x \ 1,x). 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 \ 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. a(R(x,y,z),1 / x,x) \ 1 = R(T(x,x \ 1),y,z) \ R(x,y,z). R(T(x,x \ 1),y,z) \ R(x,y,z) = a(R(x,y,z),1 / x,x) \ 1. T(T(x,x \ 1),y) * (((x \ 1) * x) * z) = ((x \ T(x,y)) * x) * z. T(T(x,x \ 1),y) * (K(x \ 1,x) * z) = ((x \ T(x,y)) * x) * z. R((1 / x) * ((y * x) / y),x,x \ y) = (1 / x) * (x * (y \ T(y,x))). x != (1 / y) * (y * z) | x = L(z,y,1 / y). R((1 / x) * ((y * x) / y),x,x \ y) = L(y \ T(y,x),x,1 / x). R(x \ ((y * x) / y),x,x \ y) = L(y \ T(y,x),x,1 / x). x != R(y \ ((z * u) / z),y,u \ z) | x = T(T(z,u) / (y * (u \ z)),y). L(x \ T(x,y),y,1 / y) = T(T(x,y) / (y * (y \ x)),y). T(T(x,y) / (y * (y \ x)),y) = L(x \ T(x,y),y,1 / y). T(T(x,y) / x,y) = L(x \ T(x,y),y,1 / y). L(x \ T(x,y),y,1 / y) = T(T(x,y) / x,y). L(x \ T(x,y),y,1 / y) = T(x \ T(x,y),y). x != T(y \ T(y,z),z) | x = y \ T(y,z). L(x \ T(x,y),y,1 / y) = x \ T(x,y). x * y != L(z \ T(z,u),u,1 / u) | (z \ T(z,u)) / y = x. (x \ T(x,y)) / (y * (x \ T(x,y))) = 1 / y. R(1 / x,x,y \ T(y,x)) = 1 / x. R(1 / x,x,y * T(y \ 1,x)) = 1 / x. R(1 / x,x,K(y,x)) = 1 / x. K(x,y) / (y * K(x,y)) = 1 / y. (1 / x) \ K(y,x) = x * K(y,x). x \ K(y,x \ 1) = (x \ 1) * K(y,x \ 1). (x \ 1) * K(y,x \ 1) = x \ K(y,x \ 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)) * 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 \ 1) * (x * (K(y,x) / x)) = (1 / x) * K(y,x). x != (y \ 1) * (y * (z / y)) | x = L(z,y \ 1,y) / y. (1 / x) * K(y,x) = L(K(y,x),x \ 1,x) / x. L(K(x,y),y \ 1,y) / y = (1 / y) * K(x,y). K(x \ 1,x) * R(y * T(x,x \ 1),z,u) = (x \ R(x * y,z,u)) * x. (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). L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(x * (1 / (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). ((x \ (x / (y \ 1))) * z) * K(y \ 1,y) = (1 / ((x \ (x / (1 / y))) \ 1)) * z. K(x \ 1,x) * L(K(x,x \ 1) * y,z,u) = (x \ L(x * (y / x),z,u)) * x. x != (y / (z \ y)) * u | x = z * u. ((x \ (x / (y \ 1))) * z) * K(y \ 1,y) = (x \ (x / (1 / y))) * z. K(x \ 1,x) * L(y * K(x,x \ 1),z,u) = (x \ L(x * (y / x),z,u)) * x. 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 * y != z * 1 | z / y = x. (x \ 1) / (x \ R(x,y,z)) = (x \ R(x,y,z)) \ (x \ 1). x != (y \ 1) / (y \ R(y,z,u)) | x = R(y,z,u) \ 1. (x \ R(x,y,z)) \ (x \ 1) = R(x,y,z) \ 1. 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. ((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 != ((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). 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)). 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 \ (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 * (((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. K(T(x,y),T(x,y) \ 1) * (((1 / T(x,y)) \ 1) \ z) = T(1 / (1 / x),y) \ z. K(x,x \ 1) * (((1 / T(x,y)) \ 1) \ z) = T(1 / (1 / x),y) \ z. K(x,x \ 1) * (T(x,y) \ z) = T(1 / (1 / x),y) \ z. (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. (T(x \ 1,y) \ z) * K(x \ 1,x) = T(1 / x,y) \ z. K(x \ 1,x) * (T(x \ 1,y) \ z) = T(1 / x,y) \ z. K(x \ 1,x) * y = T(1 / x,z) \ (T(x \ 1,z) * y). T(1 / x,y) \ (T(x \ 1,y) * z) = K(x \ 1,x) * z. T(1 / x,y) * (K(x \ 1,x) * z) = T(x \ 1,y) * 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. T(1 / x,y) * ((x \ 1) \ z) = T(x \ 1,y) * ((x \ 1) \ (K(x,x \ 1) * 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) \ 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 != y * (T(T(y,z),u) * (T(y,y \ 1) \ w)) | x = T(T(y,z),u) * (K(y \ 1,y) * w). K(x \ 1,x) * (T(T(x,x \ 1),y) * z) = T(T(x,x \ 1),y) * (K(x \ 1,x) * z). T(T(x,x \ 1),y) * (K(x \ 1,x) * z) = K(x \ 1,x) * (T(T(x,x \ 1),y) * z). x != T(T(y,y \ 1),z) * (K(y \ 1,y) * u) | x = ((y \ T(y,z)) * y) * u. K(x \ 1,x) * (T(T(x,x \ 1),y) * z) = ((x \ T(x,y)) * x) * z. T(x,x \ 1) * (((x \ T(x,y)) * x) * z) = x * (T(T(x,x \ 1),y) * z). T(x,x \ 1) * (T(x,y) * z) = x * (T(T(x,x \ 1),y) * z). T(x,x \ 1) * (T(x,y) * z) = x * (T((x \ 1) \ 1,y) * z). (x \ 1) * (T(1 / x,y) * z) = (1 / x) * (T(((1 / x) \ 1) \ 1,y) * z). (1 / x) * (T(((1 / x) \ 1) \ 1,y) * z) = (x \ 1) * (T(1 / x,y) * z). (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 \ 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. 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 != K(T(y,z) \ 1,T(y,u)) | x = K(y \ 1,y). K(x \ y,y \ x) = K((x / y) \ 1,x / y). K((x / y) \ 1,x / y) = K(x \ y,y \ x). K(x \ y,y \ x) = K(y / x,x / y). K(x / y,y / x) = K(y \ x,x \ y). K(x / y,(x / y) \ 1) = K(y \ x,x \ y). K(x \ y,y \ x) * (y / x) = ((y / x) \ 1) \ 1. K(((x * y) * z) \ (y * z),R(T(x,y * z),y,z)) * ((y * z) / ((x * y) * z)) = (((y * z) / ((x * y) * z)) \ 1) \ 1. ((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). 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). R((x \ (x / (1 / y))) * x,y \ 1,y) = (x * ((y \ 1) * T((y \ 1) \ 1,x))) * y. R((x \ (x / (1 / y))) * x,y \ 1,y) = (x * (y \ T(y,x))) * y. ((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)) != u | R(x,y,1 / z) = u. 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 \ 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. (x * K(y,y \ 1)) \ ((x * z) * K(y,y \ 1)) = L(z,T(x,K(y,y \ 1)),K(y,y \ 1)). (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. T((x \ 1) * (x * ((y * z) / y)),y) = T(1 / x,y) * L(T(1 / x,y) \ z,x \ 1,x). R(x,y,z) \ T(R(x,y,z),R(1 / x,x,R(x,y,z))) = (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)). R(x,y,z) \ R(T(x,R(1 / x,x,R(x,y,z))),y,z) = (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)). R(x,y,z) \ R(T(x,x \ 1),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,y,z) \ R(T(x,x \ 1),y,z). x != R(y,z,u) \ R(T(y,y \ 1),z,u) | x = a(R(y,z,u),1 / y,y). (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) = a(R(x,y,z),1 / x,x). 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). 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). 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) | x \ (K(u,z) \ z) = y. x \ (K(y,x) \ x) = K(y,x) \ 1. 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. R(x,K(y,x) \ 1,z) \ ((K(y,x) \ x) * z) = (K(y,x) \ 1) * z. (K(x,y) \ y) \ (K(x,y) \ 1) = y \ 1. x * y != (K(z,u) \ 1) \ (K(z,u) \ u) | x \ u = y. (x * K(y,x)) \ x = K(y,x) \ 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). 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. (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). K(x,y \ 1) = K(x,1 / y). K(x,1 / y) = K(x,y \ 1). K(x,y) = K(x,1 / (1 / y)). K(x,1 / (1 / y)) = K(x,y). x * K(((y \ 1) \ 1) \ x,y) = (((y \ 1) \ 1) \ x) * ((y \ 1) \ 1). (((x \ 1) \ 1) \ y) * ((x \ 1) \ 1) = y * K(((x \ 1) \ 1) \ y,x). ((x \ 1) \ 1) * K(y,(x \ 1) \ 1) = (x \ 1) \ K(y,x). x != K(R(y,z,u),1 / y) | x = y * ((y \ R(y,z,u)) / R(y,z,u)). K(R(x,y,z),x \ 1) = x * ((x \ R(x,y,z)) / R(x,y,z)). x * ((x \ R(x,y,z)) / R(x,y,z)) = K(R(x,y,z),x \ 1). x != K(y * z,u / (u / y)) | x = (y * ((u / (u / y)) * z)) \ ((y * z) * (u / (u / y))). K(x * y,x) = (x * ((1 / (1 / x)) * y)) \ ((x * y) * (1 / (1 / x))). (x * ((1 / (1 / x)) * y)) \ ((x * y) * (1 / (1 / x))) = K(x * y,x). K(x,((1 / y) \ z) / z) = K(x,((y \ 1) \ z) / z). 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 != y * ((y \ R(y,z,u)) / R(y,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). R(K(R(x,y,z),x \ 1),y,z) = K(R(x,y,z),R(x,y,z) \ 1). R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = R(K(R(x,y,z),x \ 1),y,z). K(x \ y,x) = K(((x \ 1) \ 1) \ y,x). K(((x \ 1) \ 1) \ y,x) = K(x \ y,x). K(x \ ((1 / x) \ y),x) = K(x \ ((x \ 1) \ y),x). 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 * (y * (1 / (1 / x)))) \ ((x * T(y,1 / (1 / x))) * (1 / (1 / x))) = K(x * T(y,1 / (1 / x)),x). 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). R(1 / x,y,z) \ 1 = 1 / R(x \ 1,y,z). 1 / R(x \ 1,y,z) = R(1 / x,y,z) \ 1. (R(1 / x,y,z) \ 1) \ 1 = R(x \ 1,y,z). (R(x,y,z) \ 1) \ 1 = R((x \ 1) \ 1,y,z). R((x \ 1) \ 1,y,z) = (R(x,y,z) \ 1) \ 1. x != R((y \ z) \ z,u,w) | x = R(T(y,y \ z),u,w). (R(x,y,z) \ 1) \ 1 = R(T(x,x \ 1),y,z). R(T(x,x \ 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) \ 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,y,z) \ 1) \ 1) \ ((x * y) * z) = (K(x \ 1,x) * y) * z. ((R(x,y,z) \ 1) \ 1) \ ((x * y) * z) != u * z | K(x \ 1,x) * y = u. (x * (y * (1 / (1 / x)))) \ ((x * T(y,x)) * (1 / (1 / x))) = K(x * T(y,1 / (1 / x)),x). (x * (y * (1 / (1 / x)))) \ ((y * x) * (1 / (1 / x))) = K(x * T(y,1 / (1 / x)),x). (x * (y * (1 / (1 / x)))) \ ((y * x) * (1 / (1 / x))) = K(x * T(y,x),x). (x * (y * (1 / (1 / x)))) \ ((y * x) * (1 / (1 / x))) = K(y * x,x). x != (y * (z * (1 / (1 / y)))) \ ((z * y) * (1 / (1 / y))) | x = K(z * L(y,y \ 1,y),y). K(x * y,y) = K(x * L(y,y \ 1,y),y). K(x * L(y,y \ 1,y),y) = K(x * y,y). K(x * (1 / (1 / y)),y) = K(x * y,y). K((1 / (1 / x)) * (x \ y),x) = K((y / x) * x,x). K((1 / (1 / x)) * (x \ y),x) = K(y,x). K(K(x \ 1,x) * y,x) = K(y,x). K(x * (y \ 1),y) = K(x * (1 / y),y). K(x * (1 / y),y) = K(x * (y \ 1),y). 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(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). 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). 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). K(x,y) / y = (1 / y) * K(x,y). (1 / x) * K(y,x) = K(y,x) / x. 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). 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. x * ((x \ R(x,y,z)) / R(x,y,z)) = K(x \ 1,R(x,y,z)) \ 1. x != y * ((y \ R(y,z,u)) / R(y,z,u)) | x = K(R(y,z,u),y \ 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)). a(R(x,y,z),1 / x,x) \ 1 = K(x \ 1,R(x,y,z)). x != a(R(y,z,u),1 / y,y) \ 1 | x = R(T(y,y \ 1),z,u) \ R(y,z,u). K(x \ 1,R(x,y,z)) = R(T(x,x \ 1),y,z) \ R(x,y,z). R(T(x,x \ 1),y,z) \ R(x,y,z) = 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)). K(R(x,y,z) \ 1,R(x,y,z)) * (y * z) = (K(x \ 1,R(x,y,z)) * y) * z. x != R(y,z,u) \ R(1 / (1 / y),z,u) | x = (R(1 / (1 / y),z,u) \ 1) \ (R(y,z,u) \ 1). K(x \ 1,R(x,y,z)) = (R(1 / (1 / x),y,z) \ 1) \ (R(x,y,z) \ 1). (R(1 / (1 / x),y,z) \ 1) \ (R(x,y,z) \ 1) = K(x \ 1,R(x,y,z)). (1 / R(x,y,z)) \ (R(x,y,z) \ 1) = K(x \ 1,R(x,y,z)). K(R(x,y,z) \ 1,R(x,y,z)) = K(x \ 1,R(x,y,z)). K(x \ 1,R(x,y,z)) != u | K(R(x,y,z) \ 1,R(x,y,z)) = u. 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. 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(R(y,z,u) \ 1,R(y,z,u)) * (z * u) | x = T(R(y,z,u),R(y,z,u) \ 1) \ ((y * z) * u). (K(x \ 1,R(x,y,z)) * y) * z = T(R(x,y,z),R(x,y,z) \ 1) \ ((x * y) * z). T(R(x,y,z),R(x,y,z) \ 1) \ ((x * y) * z) = (K(x \ 1,R(x,y,z)) * y) * z. K(x \ 1,R(x,y,z)) * (y * z) = (K(x \ 1,R(x,y,z)) * y) * z. (K(x \ 1,R(x,y,z)) * y) * z = K(x \ 1,R(x,y,z)) * (y * z). L(x,y,K(z \ 1,R(z,y,x))) = x. x != T(y,y \ z) \ u | x = ((y \ z) \ z) \ u. (K(x \ 1,R(x,y,z)) * y) * z = ((R(x,y,z) \ 1) \ 1) \ ((x * y) * z). ((R(x,y,z) \ 1) \ 1) \ ((x * y) * z) = (K(x \ 1,R(x,y,z)) * y) * z. K(x \ 1,x) * y = K(x \ 1,R(x,y,z)) * y. K(x \ 1,R(x,y,z)) * y = K(x \ 1,x) * y. K(x \ 1,R(x,y,z)) = K(x \ 1,x). 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). L(x,y,K(z \ 1,z)) = x. L(x,y,z \ 1) = L(x,y,1 / z). L(x,y,1 / z) = L(x,y,z \ 1). 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 \ 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. 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). L(x,y,K(z,z \ 1)) = x. (x * K(y \ 1,y)) * z = K(y \ 1,y) * (x * z). x != y | x = z \ (z * y). L(x,y,K(z,z \ 1)) = u \ (u * x). x != L(y,T(z,K(u,u \ 1)),K(u,u \ 1)) | x = (z * K(u,u \ 1)) \ ((z * y) * K(u,u \ 1)). x = (y * K(z,z \ 1)) \ ((y * x) * K(z,z \ 1)). (x * K(y,y \ 1)) \ ((x * z) * K(y,y \ 1)) = z. 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. (K(x,x \ 1) * y) / z = K(x,x \ 1) * (y / z). ((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. 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). L(x,y,K(z,z \ 1)) != u | u = x. x \ K(y \ 1,y) = (x * K(y,y \ 1)) \ 1. (x * K(y,y \ 1)) \ 1 = x \ K(y \ 1,y). K(x,x \ 1) / y != z | (1 / y) * K(x,x \ 1) = z. x != K(y,y \ 1) * z | x = z * K(y,y \ 1). ((x \ 1) \ 1) / (y \ x) = y * K(x,x \ 1). ((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 \ 1) \ 1) / y = (x / y) * K(x,x \ 1). (x / y) * K(x,x \ 1) = ((x \ 1) \ 1) / y. x * K(y,y \ 1) = (1 / y) / (x \ (y \ 1)). (1 / x) / (y \ (x \ 1)) = y * K(x,x \ 1). (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 * K(y,y \ 1)) \ (1 / y) = x \ (y \ 1). (K(x,x \ 1) * y) \ z = y \ (K(x \ 1,x) * 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). (((x \ 1) \ 1) \ y) * z = K(x \ 1,x) * ((x \ y) * z). K(x \ 1,x) * ((x \ y) * z) = (((x \ 1) \ 1) \ y) * z. (x / (1 / y)) * z = K(y \ 1,y) * ((x / (y \ 1)) * z). K(x \ 1,x) * ((y / (x \ 1)) * z) = (y / (1 / x)) * z. T(K(x \ 1,x) * (y / z),z) = z \ (K(x \ 1,x) * y). (1 / (1 / x)) / y = K(x \ 1,x) * (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). x != K(y \ 1,y) * z | x = z * K(y \ 1,y). (x * K(y \ 1,y)) * z = (x * z) * K(y \ 1,y). (x * (y * K(z \ 1,z))) \ (x * (K(z \ 1,z) * (y * u))) != w | L(u,y * K(z \ 1,z),x) = w. (K(x \ 1,x) * (y * ((1 / x) * z))) / ((x \ 1) * z) = R(y,K(x \ 1,x),(1 / x) * z). 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). 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(y,y \ 1) * z) = (x * (1 / (1 / y))) \ z. R(K(x,x \ 1),y,z) = K(x,x \ 1). x * y != K(z,z \ 1) * (u * x) | T(K(z,z \ 1) * u,x) = y. T(K(x,x \ 1) * y,z) = z \ (K(x,x \ 1) * (y * z)). x \ (K(y,y \ 1) * (z * x)) = T(K(y,y \ 1) * z,x). (x * K(y,y \ 1)) * z = K(y,y \ 1) * (x * z). 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). (x * K(y,y \ 1)) / z = K(y,y \ 1) * (x / z). R(K(x,x \ 1) * (y / z),z,K(x \ 1,x)) = y / (z * K(x \ 1,x)). (x * K(y \ 1,y)) \ (z * K(y \ 1,y)) = x \ z. (x * K(y \ 1,y)) * z != u | K(y \ 1,y) * (x * z) = u. (x * K(y \ 1,y)) \ 1 = x \ K(y,y \ 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 * z) * K(u,u \ 1)) / (K(u,u \ 1) * z) | x = R(y,z,T(K(u,u \ 1),z)). K(x,x \ 1) * ((y * z) / (K(x,x \ 1) * z)) = R(y,z,T(K(x,x \ 1),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 * 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). 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 / (1 / y)) * K(y,y \ 1) != z | z = x / (y \ 1). (x / (1 / y)) * K(y,y \ 1) != z | x / (y \ 1) = z. x * y != z | R(x,y,y \ 1) / (y \ 1) = z. T((x \ 1) * (x * ((y * (x \ z)) / y)),y) = y \ (K(x \ 1,x) * (y * ((1 / x) * z))). (x * y) \ (((y \ 1) \ 1) * z) = (x * (1 / (1 / y))) \ (y * z). (x * (1 / (1 / y))) \ (y * z) = (x * y) \ (((y \ 1) \ 1) * z). T(x,y) \ (K(z,z \ 1) * (x * y)) = T(K(z,z \ 1) * y,T(x,y)). (K(x \ 1,x) * ((y * z) * u)) / (z * u) = R(K(x \ 1,x) * y,z,u). x != (K(y,y \ 1) * z) / u | x = K(y,y \ 1) * (z / u). R(x,K(y,y \ 1),z) = K(y,y \ 1) * ((x * z) / (K(y,y \ 1) * z)). K(x,x \ 1) * ((y * z) / (K(x,x \ 1) * z)) = R(y,K(x,x \ 1),z). 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. 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 \ (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 \ 1) * (y / (x \ 1)),x,x \ 1) = (x \ 1) * (y * x). R(x * ((y / z) / x),z,y \ u) * (z * (y \ u)) = (x * ((u / (z * (y \ u))) / x)) * (z * (y \ u)). 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 = (y \ x) * (y \ T(y,y \ x)). (x \ y) * (x \ T(x,x \ y)) = 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) \ ((x * y) / x) = L(x \ 1,T(x,y),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 \ 1) = x \ T(x,y). ((x * y) / x) \ y = T(x,y) \ x. (T(x,y) \ x) * ((x * y) / 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). (x / y) \ (y \ x) = T(y,y \ x) \ y. T(x,x \ y) \ x = (y / x) \ (x \ y). x \ T(x,y) = T(y,T(x,y)) \ y. T(x,T(y,x)) \ x = y \ T(y,x). ((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. T(x,T(y,x)) * (y \ T(y,x)) = 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 \ T(x,y)) \ (((x * y) / x) * ((y \ 1) * z)) != u | L(z,y \ 1,(x * y) / x) = u. 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,T(x \ y,y)) = (x \ y) \ y. 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 * y) / x) \ (T(x,y) * ((x \ y) * z)) != u | L(z,x \ y,T(x,y)) = u. 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,y) = T(x,(y \ x) \ x). T(x,(y \ x) \ x) = T(x,y). T(x,T(y,x)) * (y * x) = x * (x * y). x * ((y * (x \ y)) / y) = T(y,x \ y). T(x,T(y,y \ x)) = 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). x \ (y * T(y \ x,T(y,x))) != z | K(y \ x,y) = z. 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) != z | z = x \ ((x \ y) \ y). (x \ y) \ (y / x) != z | x \ ((x \ y) \ y) = z. T(x,y \ x) != z | T(x,x / y) = z. x * (x * (y / x)) = T(x,x \ y) * y. T(x,x \ y) * y = x * (x * (y / x)). x * y != T(z,z \ u) * u | (z * (z * (u / z))) / y = x. (x * (x * (T(y,z) / x))) / y = (T(x,x \ T(y,z)) / y) * T(y,z). 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,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)) | 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). x \ T(y,x \ 1) = T(y * ((y / x) / y),x). T(x * ((x / y) / x),y) = y \ T(x,y \ 1). x * (y * ((x \ y) / y)) = T(y,x \ 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). x * y != T(z,(u \ 1) \ 1) | x \ T(z,u) = y. (x \ 1) \ T(y,x) = y * (((x \ 1) \ y) / y). ((x \ 1) \ y) * (x \ 1) = (x * y) * ((x \ (x * y)) / (x * y)). (x * y) * ((x \ (x * y)) / (x * y)) = ((x \ 1) \ y) * (x \ 1). x * y != z * ((u \ z) / z) | x \ (u \ T(z,u \ 1)) = y. x \ (y \ T(x,y \ 1)) = (y \ x) / x. (x / y) \ T(x,(x / y) \ 1) = x * (y / 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). 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 * 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). T(x \ T(x,y \ 1),z) = K(x,(x / T(y,z)) / x). 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)). R(x \ T(x,y \ 1),z,u) = K(x,(x / R(y,z,u)) / x). K(x,y) \ y = T(y,T(L(x \ 1,x,y) \ 1,y)). T(x,T(L(y \ 1,y,x) \ 1,x)) = K(y,x) \ x. R(x,y,x) = T(y \ T(y * x,x),y). T(x \ T(x * y,y),x) = R(y,x,y). (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) \ 1) \ y) * ((x / y) \ 1) = x * (y / x). 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) / ((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). (x * y) / ((x * y) / x) != x * z | T(x,y) \ x = z. (x * (T(x,y) \ x)) \ (x * z) = x * (((x * y) / ((x * y) / x)) \ z). x * (((x * y) / ((x * y) / x)) \ z) = (x * (T(x,y) \ x)) \ (x * z). T(x \ T(x * y,y),T(x * y,y)) = L(R(y,x * y,y),x * y,y). ((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). T(x,((x * y) \ x) \ K(y,x)) = K(y,x) \ x. ((L(x \ 1,x,y) \ 1) * y) / (L(x \ 1,x,y) \ 1) = y * K(x,y). T(x,T(y,y \ x) \ 1) != x * z | K(x,(y \ x) / x) = z. 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). x \ (y * (x / y)) != z | K(((y / x) \ 1) \ x,(y / x) \ 1) = z. 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). L((T(x,T(y,x)) * z) / (x * z),T(y,x),x) = R((y * x) \ (x * y),x,z). K(x \ y,x) = K(x \ y,T(x,y)). 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). R(x \ T(x,y \ 1),z,u) = x \ T(x,R(y,z,u) \ 1). ((x \ 1) * (y * x)) / (x \ 1) != z * x | z = (x \ 1) * (y / (x \ 1)). ((x \ 1) * (y * x)) / (x \ 1) != z * x | (x \ 1) * (y / (x \ 1)) = z. (x * ((y \ x) * y)) / x != z * K(y \ x,y) | T(x,(y \ x) * y) = z. (x * y) * (y / (x * y)) = ((x \ 1) \ y) * (x \ 1). ((x \ 1) \ y) * (x \ 1) = (x * y) * (y / (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 \ 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. (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 * ((x * (T(x,y) \ x)) \ z) = (x * (T(x,y) \ x)) \ (x * z). (x * (T(x,y) \ x)) \ (x * z) = x * ((x * (T(x,y) \ x)) \ z). L(x,T(y,z) \ y,y) = y * ((y * (T(y,z) \ y)) \ ((T(y,z) \ y) * x)). x * ((x * (T(x,y) \ x)) \ ((T(x,y) \ x) * z)) = L(z,T(x,y) \ x,x). T(K(x,y),x * K(z,x)) = K(x,y). T(x * K(y,x),K(x,z)) = x * K(y,x). 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). 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 * L(x \ y,x,T(x,z) \ x) = L(y,T(x,z) \ x,x). L((T(x,T(y,x)) * z) / (x * z),T(y,x),x) = R(K(x,y),x,z). x != K(y,y \ 1) * ((z * u) / (K(y,y \ 1) * u)) | x = R(z,K(y,y \ 1),u). R(x,y,T(K(z,z \ 1),y)) = R(x,K(z,z \ 1),y). R(x,y,K(z,z \ 1)) = R(x,K(z,z \ 1),y). 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)). 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). 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 * 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). K(x \ 1,x) * (y \ ((x \ 1) \ 1)) = y \ x. (x \ y) * (1 / y) = (x \ ((y \ 1) \ 1)) * (y \ 1). (x \ ((y \ 1) \ 1)) * (y \ 1) = (x \ y) * (1 / y). x != y \ ((z \ u) \ u) | x = y \ T(z,z \ u). (x \ y) * K(y,y \ 1) = x \ T(y,y \ 1). K(x,x \ 1) * (y \ x) = y \ T(x,x \ 1). 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). (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 / x) / T(y,y \ (x \ 1)) = y \ (1 / 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)). (x \ (1 / (1 / y))) * K(y,y \ 1) = x \ y. (x \ y) * z = K(y,y \ 1) * ((x \ (1 / (1 / y))) * z). 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) / 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. (T(x,y) * z) / ((x \ T(x,y)) * z) = x. x * y != T(x,z) * u | y = T(x,z) * (x \ u). (x \ T(x,y)) * z = T(x,y) * (x \ z). 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,T(y,T(z,y)) \ y,z) = x. L(x,T(y,z) \ y,(y * z) / 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. 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 \ ((K(y,x) \ x) * z) = (K(y,x) \ 1) * 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 / 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). 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,y * x) = T(x,x * y). T(x,(x \ y) * x) = T(x,y). T(x,T((x \ 1) * y,x)) = T(x,x \ y). 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). x * T(y,x * y) = L(y,x,y) * x. R(T(x,x * y),y,x) = T(x,y). x * L(T(y,x * y),z,u) = L(L(y,x,y),z,u) * x. K(x,T(y,x * y)) = K(x,y). ((x \ y) * x) * T(x,y) = x * ((x \ y) * x). R(T(x,y),x \ y,x) = T(x,x \ y). (x * ((x \ y) * x)) / x = (x \ y) * T(x,y). T((x \ y) * T(x,y),x) = (x \ y) * x. K(x,T(x \ y,y)) = K(x,x \ y). x != R(T(y,y * z),z,y) | x = T(y,T(z,y)). T(x,y) = T(x,T(y,x)). T(x,T(y,x)) = T(x,y). x != R(T(y,y * z),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 * y != R(T(z,z * u),u,z) | T(z,u) / y = x. T(x,y) / y = x / T(y,x). (x * y) * T(x,y) = R(x,y,x) * (x * y). R(x,y,x) * (x * y) = (x * y) * T(x,y). x * (T(x,y) \ y) = T(y,x). T(x,y) \ (x * y) = T(y,x). 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(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,T(T(y,x),z)) = T(x,T(y,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,x \ y) = T(x,y / x). T(x,y / x) = T(x,x \ y). T(x,y) * L(T(y,x),z,u) = L(y,z,u) * T(x,y). T(x,y) * R(T(y,x),z,u) = R(y,z,u) * T(x,y). T(T(x,y),x \ z) = T((x \ z) \ z,T(y,x)). T((x \ y) \ y,T(z,x)) = T(T(x,z),x \ y). T(x,y) * T(T(y,x),z) != u | T(y,z) * T(x,y) = u. T(x,y) * R(T(T(y,x),z),u,w) = R(T(y,z),u,w) * T(x,y). T(x \ y,x) != z | T(x,x \ y) \ y = z. T(x \ y,x) != z | ((x \ y) \ y) \ y = z. T(x,y) \ x = y \ T(y,x). T(x * (T(x,y) \ x),y) = x. (x * y) / x = y * (T(y,x) \ y). T(x,y) * (y * x) = x * (x * y). x * ((T(y,x) \ y) * z) = T(x,y) * z. x * y != T(z,T(u,z)) | T(z,u) / y = x. T(x,y) / T(y,x) = x / T(T(y,x),x). x != (y / T(z,y)) * z | x = (y * (y * z)) / (z * y). T(x,y) = (x * (x * y)) / (y * x). x != (y / T(z,u)) * z | x = (y * z) / T(z,u). T(x,y) = (x * y) / T(y,x). (x * y) / T(y,x) = T(x,y). T(x,y) != z * y | x / T(y,x) = z. T(x,y) * T(y,x) = x * y. ((x * (y / x)) / T(x,y)) * x = T(x * (y / x),x). (T(x,y) / y) \ x = T(y,x). K(x \ 1,x) * T(y,(x \ 1) \ 1) = x * (T((x \ 1) \ 1,y) \ y). (x \ (y * x)) \ (y * x) = T(x,y). T(x,y) = (x \ (y * x)) \ (y * x). x * T(y,z) != z * y | x = T(z,y). x * T(y,z) != z * y | T(z,y) = x. T(x,y) * (x \ T(y,x)) = y. (T(x,y) * ((x \ T(y,x)) * z)) \ (y * z) = a(T(x,y),T(x,y) \ y,z). T((x \ y) * x,x) = (T(x,y) \ y) * x. T(x,y / x) = (x \ y) \ 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 / y) * T(y,y \ x) = y * (x / y). 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). x != (y \ 1) \ 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. x != (y \ 1) \ T(y \ 1,z) | x = y * T(y \ 1,z). T(x,y \ 1) \ x = y * T(y \ 1,x). (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 / (x / y),y \ x) = y. T(T(x,y),T(y,x)) != z | T(y,x) \ (x * y) = z. 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). 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). L(x,T(y,z),T(z,y)) = (z * y) \ (T(z,y) * (T(y,z) * x)). (x * y) \ (T(x,y) * (T(y,x) * z)) = L(z,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,x) != z | z = T(x,y) / y. x / T(y,x) != z | T(x,y) / y = z. T(x,y) * (x \ T(x * (y / x),x)) = x * (y / x). (x * (y / x)) * x = y * ((x \ y) \ y). x / T(y \ x,y) = (y \ x) \ x. T(x,y) = T(T(z / (z / x),y),x \ z). T(T(x / (x / y),z),y \ x) = T(y,z). (x \ y) * x = (y / (y / x)) * (x \ y). (x / (x / y)) * (y \ x) = (y \ x) * y. ((x \ y) * x) / (x \ y) = y / (y / x). T((T(x,y) * y) / T(x,y),x) = y. (x * (x * y)) \ ((x * y) * x) = K(y * x,T(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). T(x,T(y,x)) != z | T(x,y) = z. ((x * (y * x)) / x) / y = L(x,y,x). (x * (y * x)) / x = L(x,y,x) * y. T((x * y) / x,x * y) = L(y,x,y). T(L(x,y,x) * y,x) = y * x. x * (y * x) = (L(x,y,x) * y) * x. (L(x,y,x) * y) * x = 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). T((x * y) / x,L(x,y,x)) = y. T(x,y) = T(x,L(y,x,y)). T(x,L(y,x,y)) = T(x,y). L(x,y,x) * T(y,x) = y * L(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 != T(y,z * y) | x = T(y,y * z). T(x,L(x,y,x) * y) = T(x,x * y). R(T(x,x * y),y,T(x,x * y)) = T(x,y). T(x,(x \ 1) * y) = T(x,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). x != T(y \ 1,((y \ 1) \ 1) * z) | x = T(y \ 1,y * z). T(x \ 1,(x \ 1) \ y) = T(x \ 1,x * y). T(x,y) = T(x,x \ ((x \ 1) \ y)). T(x,x \ ((x \ 1) \ y)) = T(x,y). T(x,y) = T(x,x \ ((1 / x) \ y)). T(x,x \ ((1 / x) \ y)) = T(x,y). T((x \ 1) \ y,T(x,y)) = T((x \ 1) \ y,x). (x \ ((1 / x) \ y)) * T(x,y) = (1 / x) \ y. T(x,R(y,x,x \ 1)) = T(x,y). T(x,y * (x \ 1)) = T(x,y / x). x != T(y,z / y) | x = T(y,y \ z). T(x,y * (x \ 1)) = T(x,x \ y). T(T(x,y \ x),z) = T(T(x,z),(y \ 1) * x). T(T(x,y),(z \ 1) * x) = T(T(x,z \ x),y). (x * ((x \ y) * x)) / x != z | z = (x \ y) * T(x,y). (x * ((x \ y) * x)) / x != z | (x \ y) * T(x,y) = z. T(x,(x \ y) * x) = T(x,(x \ y) * T(x,y)). T(x,(x \ y) * T(x,y)) = T(x,(x \ y) * x). (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). T(x,T(x,y) \ y) = (x * (x * (T(x,y) \ y))) / T((x \ y) * x,x). (x * (x * (T(x,y) \ y))) / T((x \ y) * x,x) = T(x,T(x,y) \ y). (x / T(y,x)) * T(y,y \ T(x,y)) = y * (T(x,y) / y). x * y != (z * (u / z)) * z | (u * T(z,z \ u)) / y = x. (x * T(y,y \ x)) / T(y,z) = ((y * (x / y)) / T(y,z)) * y. K(x \ (x / y),x) \ x = T(x,y \ 1). x != ((y * z) \ y) * T(((y * z) \ y) \ 1,y) | x = K(z,y). T(x,((x * y) \ x) \ 1) \ x = K(y,x). K(x,y) = T(y,((y * x) \ y) \ 1) \ y. 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). x * ((y \ (x \ y)) * y) = y * (T(y,x \ 1) \ y). x * (T(x,y \ 1) \ x) = y * ((x \ (y \ x)) * x). (x \ 1) \ y = y * ((x \ y) \ y). x * ((y \ x) \ x) = (y \ 1) \ x. x * (y \ x) = ((x / y) \ 1) \ x. ((x / y) \ 1) \ x = x * (y \ x). x * y != ((z / u) \ 1) \ z | (z * (u \ z)) / y = x. (x * (y \ x)) / (x / y) = (x / y) * (x / (x / y)). x / (x * (y \ x)) = (x / y) \ 1. x / (x * y) = (x / (x / y)) \ 1. (x / (x / y)) \ 1 = x / (x * y). 1 / (x / (x * y)) = x / (x / y). 1 / (x / y) = x / (x / (x \ y)). x / (x / (x \ y)) = 1 / (x / y). (x / (x / y)) \ 1 != z | z = x / (x * y). (x / (x / y)) \ 1 != z | x / (x * y) = z. (1 / (x / y)) \ x = x / (x \ y). (1 / x) \ y = y / (y \ (x \ y)). x / (x \ (y \ x)) = (1 / y) \ x. x != (y / (z / u)) * (u \ z) | x = (y * (u \ z)) / (z / u). (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). x * T(x / (x / y),x) = y * ((y \ x) * 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. T(x,y) = T(x,x \ T(x * y,y)). T(x,x \ T(x * y,y)) = T(x,y). 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). K(x \ y,x) \ x = T(x,(y \ x) \ 1). T(x,(y \ x) \ 1) = K(x \ y,x) \ x. 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. x != K(y,(y * z) / y) | x = K(T(y,z),z). K(x,y) \ 1 = K(T(y,x),x). K(T(x,y),y) = 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. R(x,K(x,y),z) = x. R(x,y,z) * (K(x,u) * w) = (R(x,y,z) * K(x,u)) * w. (R(x,y,z) * K(x,u)) * w = R(x,y,z) * (K(x,u) * w). x * (y * K(x,y)) = (x * K(x,y)) * y. (x * K(x,y)) * y = x * (y * K(x,y)). K(T(x,y),y) \ 1 != z | z = K(y,x). K(T(x,y),y) \ 1 != z | K(y,x) = z. K(x \ y,x) \ 1 != z | K(x,y / x) = z. K(T(x,T(y,x)),T(y,x)) != z | K(x,y) = 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 * y) * T(x,y)) / (x * y) != z | z = R(x,y,x). ((x * y) * T(x,y)) / (x * y) != z | R(x,y,x) = z. x \ T(y * x,y) = R(y,x,y). x * R(y,x,y) = T(y * x,y). R(x,T(y,x),T(x,y)) = R(x,T(y,x),x). (x \ y) \ T(y,x) = R(x,x \ y,x). R(x,x \ y,x) = (x \ y) \ T(y,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. T(x * y,x) * T(x,y) = (x * y) * R(x,y,x). R(x \ y,(x \ y) \ (y / (y / x)),x \ y) = ((x \ y) \ (y / (y / x))) \ x. T(x,x \ T(x * y,y)) \ T(x * y,y) = R(y,x,y). 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(T(x,y) \ y,x) = K(x \ y,x). L(x \ T(x,T(y,x)),T(y,x),x) != z | K(x,y) = z. x * (((y * x) / y) \ z) = (T(y,x) \ y) * z. x \ (y * (T(y,x) \ y)) = ((y * x) / y) \ y. x * ((K(y,x) \ 1) * z) = (K(y,x) \ x) * z. (x \ y) \ (y / x) = (x * (y / x)) / y. (x * (y / x)) / y = (x \ y) \ (y / x). x \ ((x \ y) \ y) = (x * (y / x)) / y. (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 \ 1) * (x \ T(x * y,x \ 1))) / (x \ 1) = ((x \ 1) \ y) * T(x \ 1,y). ((x \ 1) \ y) \ y = T(x \ 1,x * y). T(x \ 1,x * y) = ((x \ 1) \ y) \ y. T(x \ 1,y) = ((x \ 1) \ (x \ y)) \ (x \ y). ((x \ 1) \ (x \ y)) \ (x \ y) = T(x \ 1,y). x != T(T(y,z),u) | x = T(T(y,u),z). T(T(x,y),(z \ 1) * x) = T(T(x,y),z \ 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 * (((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 * K(((x * y) / x) \ x,y) = (x * ((y \ x) * y)) / x. x \ ((x * y) / x) = ((y * x) / y) \ y. ((x * y) / x) \ x = y \ ((y * x) / y). K(((x * y) / x) \ x,y) = K(y \ x,y). (K(x,y) \ y) * z != y * u | (K(x,y) \ 1) * z = u. (x \ T(x,y)) \ z != u | x * (T(x,y) \ z) = u. T(x,y) \ (y * x) = T(T(y,x),x). T(x,y) * T(T(y,x),x) = y * x. L(T(x,y),z,u) \ (y * L(x,z,u)) = T(T(y,L(x,z,u)),L(x,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). 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. (x * K(x,y)) * z = K(x,y) * (x * z). x != y | x = 1 * y. L(x,y,K(y,z)) = 1 * x. L(x,y,K(y,z)) != u | u = x. x != (y * K(y,z)) * z | x = y * (z * K(y,z)). K(x,y) * (x * y) = x * (y * K(x,y)). K(x,y) \ (x * (y * K(x,y))) != y * z | T(x,y) = z. 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). 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). T(x * L(y,x,y),y) = T(x,y) * y. x != L(y,z,y) | x = ((y * (z * y)) / y) / z. L(x,T(y,x),x) = ((x * (y * x)) / x) / y. ((x * (y * x)) / x) / y = L(x,T(y,x),x). L(x,T(y,y * x),x) = L(x,L(y,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)). 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,y \ x,y) * T(x,y). R(x,x \ y,x) * T(y,x) = T(y,x) * T(x,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,x) / x) = x * (y / x). T(x,y) * (y / T(x,y)) = x * (y / x). K(x * y,x) = K(y * x,T(x,y)). K(x * y,T(y,x)) = K(y * x,y). K(x * y,T(y,x)) != z | K(y * x,y) = z. 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 * (z \ y)) / (y / z) | x = (z \ y) * z. (x / y) * (x / (x / y)) = (y \ x) * 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))). R(K(x,y),x,z) != u | K(x,y) = u. (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,(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. (x / y) \ T(x,x \ y) = x * (y / x). (x \ ((y \ 1) \ x)) * T(x,y) = (y \ 1) \ x. (x * T(x \ (T(x,x \ y) * y),z)) / y = (x / y) * T(x * (y / x),z). ((x * y) \ y) \ y = T(x * y,x \ 1). 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. T(L(L(x,y,x),z,u) * y,x) = L(x,z,u) * T(y,x). T(x,y) \ T(x * y,y) = R(y,x,y). (x \ (y * x)) \ T(y * x,x) = R(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,z \ y,z). R(x,y / x,x) = R(x,x \ y,x). R(x,(x * y) / x,x) = R(x,y,x). R(x,x \ y,x) * y = (x * (y / x)) * 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(T(x,y),T(z,x),T(x,z)) = T(R(x,z,x),y). 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). R(T(x,y),T(z,x),T(x,z)) = R(T(x,y),z,x). R(T(T(x,y),z),T(u,x),T(x,u)) = T(R(T(x,y),u,x),z). x * K(y \ x,y) = (x * ((y \ x) * y)) / x. (x * ((y \ x) * y)) / x = x * K(y \ x,y). T(x,(y \ x) * y) = x. T(x,y * (x / y)) = x. T(x,y) = T(T(x,y),z * (x / z)). T(T(x,y),z * (x / z)) = T(x,y). (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 * 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)). T(x,(y \ z) / z) = T(x,T(y \ 1,x)). T(x,T(y \ 1,x)) = T(x,(y \ z) / z). T(x,y \ 1) = 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). R(T(T(x,y),z),T(u,x),T(x,u)) = R(T(T(x,y),z),u,x). 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. L(x,y \ 1,(z * y) / z) = y * ((y \ 1) * x). (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). L(x,y \ 1,(z * y) / z) = L(x,y \ 1,y). L(x,y \ 1,y * K(z,y)) = L(x,y \ 1,y). x != L((y \ 1) \ z,y \ 1,y) | x = y * z. L((x \ 1) \ y,x \ 1,x * K(z,x)) = x * y. K(x,y) * (z * T(z \ (y * z),u)) = (K(x,y) * T(y,u)) * 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). (T(x,y) * (y * x)) / T(x,y) != z | T(x,y * x) * T(y,x) = z. x != (y * T(z,u)) / T(z,w) | x = (y / T(z,w)) * T(z,u). ((x * (y / x)) / T(x,z)) * x = (y / T(x,z)) * T(x,x \ y). x * (x / (x / T(y,x))) != z * T(y,x) | (y \ T(x,y)) * T(y,x) = z. x * T(y,z) != z * (z / (z / T(y,z))) | (y \ T(z,y)) * T(y,z) = x. 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). L(x,T(y,z),K(u,y)) = x. L(x,y,K(z,y)) = x. (K(x,y) * y) * z = K(x,y) * (y * z). L(x,y,T(y,z) \ y) = x. x * (x \ y) = L(y,T(x,z) \ x,x). L(x,T(y,z) \ y,y) = y * (y \ x). L(x,T(y,z) \ y,y) = x. L(x,K(y,z),z) = x. (x * K(y,x)) * z = x * (K(y,x) * z). (x * (K(y,x) * z)) / z = x * K(y,x). R(K(x,y),y,z) = K(x,y). (x * K(y,x)) * z = K(y,x) * (x * z). R(x,K(y,x),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)). R(T(x,y),K(z,x),u) = T(x,y). x * (K(y,x) * z) != u | (x * K(y,x)) * z = u. 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). x != T(y,((y * z) \ y) \ K(z,y)) | x = K(z,y) \ y. R(T(x,((x * y) \ x) \ K(y,x)),K(z,x),u) = K(y,x) \ x. K(x,y) \ (z * (y * K(x,y))) = y * T(z,y * K(x,y)). (x * K(y,x)) * (x \ z) = K(y,x) * z. x != (y * K(z,y)) * u | x = y * (K(z,y) * u). K(x,y) * (y * z) = y * (K(x,y) * z). 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)). R(x,y,z) * (K(u,R(x,y,z)) * (y * z)) != w | K(u,R(x,y,z)) * ((x * y) * z) = w. T(x,y) = T(x,y * K(x,y)). T(x,y * K(x,y)) = T(x,y). T(L(L(x * K(y,x),y,x * K(y,x)),z,u) * y,x * K(y,x)) = L(x * K(y,x),z,u) * T(y,x). R(K(x,y) \ y,K(z,y),u) = K(x,y) \ y. x != R(K(y,z) \ z,K(y,z),u) | x = (z * u) / (K(y,z) * u). K(x,y) \ y = (y * z) / (K(x,y) * z). (x * y) / (K(z,x) * y) = K(z,x) \ x. (K(x,y) \ y) * (K(x,y) * z) = y * z. (K(x,y) \ 1) * (K(x,y) * z) = z. L(x,K(y,z) \ 1,K(y,z)) = x. (K(x,y) \ 1) \ z = K(x,y) * z. (K(x,y) \ 1) \ z != u | u = K(x,y) * z. (K(x,y) \ 1) \ z != u | K(x,y) * z = u. x * (1 / K(y,z)) = x / K(y,z). x * y != (K(z,u) \ 1) \ x | T(K(z,u),x) = y. T(K(x,y),z) = (K(x,y) \ z) \ z. (K(x,y) \ z) \ z = T(K(x,y),z). x * (K(y,z) \ 1) = x / K(y,z). x / T(K(y,z),x) = K(y,z) \ x. x * y != (z * u) / K(z,u) | x \ (u * z) = y. (x * y) \ (y * x) = K(x,y) \ 1. (x * K(y,z)) \ x = K(y,z) \ 1. (K(x,y) \ z) * K(x,y) = T(z,K(x,y)). K(x,y) = K(y,x) \ 1. K(x,y) \ 1 = K(y,x). K(x,y) \ 1 != z | K(y,x) = z. K(x,y / x) = K(x,x \ y). K(x,y) = K(x,T(y,x)). K(x,T(y,x)) = K(x,y). 1 / K(x,y) = K(y,x). x != K(y,z) \ 1 | x = K(T(z,y),y). K(x,y) = K(T(x,y),y). K(T(x,y),y) = K(x,y). x != K(y,z) \ 1 | x = (z * K(y,z)) \ z. K(x,y) = (x * K(y,x)) \ x. (x * K(y,x)) \ x = K(x,y). K(x,y) * K(y,x) = 1. x * K(y,z) != 1 | x = K(z,y). x * K(y,z) != 1 | K(z,y) = x. 1 / K(x,y) != z | z = K(y,x). 1 / K(x,y) != z | K(y,x) = z. (x * y) \ ((y * x) * T(K(x,y),z)) = K(y,x) * T(K(x,y),z). x * K(y,x) = K(x,y) \ x. K(x,y) \ x = x * K(y,x). K(x,T(y,x)) != z | K(x,y) = z. K(x,y) * (K(y,x) * z) = z. L(x,K(y,z),K(z,y)) = x. K(x,y) \ z = K(y,x) * z. x * K(y,z) = x / K(z,y). x / K(y,z) = x * K(z,y). K(x,x \ (y * x)) = K(x,y). 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)). K(x,y) * z != 1 | z = K(y,x). K(x,y) * z != 1 | K(y,x) = z. K(x \ (y * x),x) = K(y,x). K(x \ y,x) = K(y / x,x). K(x / y,y) = K(y \ x,y). K(R(x \ y,x,z),x) = K((y * z) / (x * z),x). 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). x * y != K(z,u) * K(u,z) | x \ 1 = y. (x * K(y,x)) \ 1 = x \ K(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,y \ x) = y * (x / y). L(x * K(y,x),K(x,y),z) = (z * K(x,y)) \ (z * x). x / (K(y,z) * x) = K(z,y). 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). x != K(y,z) * u | K(z,y) * x = u. K(x,y) * z != u | K(y,x) * u = z. K(x,y) \ z != u | u = K(y,x) * z. K(x,y) \ z != u | K(y,x) * z = u. x / (K(y,z) * x) != u | u = K(z,y). x / (K(y,z) * x) != u | K(z,y) = u. x \ (K(y,z) * (K(z,y) * (x * u))) = L(L(u,x,K(z,y)),K(z,y) * x,K(y,z)). L(L(x,y,K(z,u)),K(z,u) * y,K(u,z)) = y \ (K(u,z) * (K(z,u) * (y * x))). x * y != K(z,u) * w | x \ (K(u,z) \ w) = y. x \ (K(y,z) \ x) = T(K(z,y),x). K(x,y) * (K(y,x) * z) != u | u = z. L(K(x,y) * (z \ u),K(y,x),z) = (z * K(y,x)) \ u. (K(x,y) * z) \ z = T(K(y,x),z). (x * K(y,z)) \ x = K(z,y). (x * K(y,z)) * K(z,y) = x. (x * K(y,z)) * K(z,y) != u | u = x. (x * K(y,z)) \ x != u | u = K(z,y). (x * K(y,z)) \ x != u | K(z,y) = u. R((x / y) * K(z,u),K(u,z),y) = x / (K(u,z) * y). T(x * (y * K(z,u)),L(K(u,z),y / K(u,z),x)) = L(K(u,z),y / K(u,z),x) \ (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 * K(y,z) != u | x = u * K(z,y). x * K(y,z) != u | u * K(z,y) = x. x / K(y,z) != u | u = x * K(z,y). x / K(y,z) != u | x * K(z,y) = u. ((x * K(y,z)) \ x) \ u = K(y,z) * u. 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 * L(y,K(z,u),x * K(u,z)) = (x * K(u,z)) * (K(z,u) * y). (x * y) \ ((x * (y * K(z,u))) * K(u,z)) != w | a(x,y * K(z,u),K(u,z)) = w. K(T(x,y),y) != z | K(x,y) = z. K(x,x \ (y * x)) != z | K(x,y) = z. K(T(x,x * y),y) != z | K(L(x,y,x),y) = z. K(R(T(x,y * z),y,z),y) != u | K((y * z) \ ((y * x) * z),y) = u. x / (K(y,z) \ 1) != u | u = x * K(y,z). x / (K(y,z) \ 1) != u | x * K(y,z) = u. K(((x / y) \ 1) \ y,(x / y) \ 1) = K(x,x \ y). x = (y * (x / y)) * K(y \ x,y). (x * (y / x)) * K(x \ y,x) = y. K(x,x \ y) * z != x * (y / x) | T(y,K(x,x \ y)) = z. L(K(x,x \ y) \ z,K(x,x \ y),y) = (x * (y / x)) \ (y * z). (K(x,y) * z) * T(K(y,x),z) = z. x != (K(y,z) * x) * u | T(K(z,y),x) = u. (K(x,y) * z) * u != z | T(K(y,x),z) = u. T(x,K(y,z)) != u | K(z,y) * (x * K(y,z)) = u. K(x,y) != z | z = K(y,x) \ 1. K(x,y) != z | K(y,x) \ 1 = z. x * K(y,z) != u | u = x / K(z,y). x * K(y,z) != u | x / K(z,y) = u. x * K(y,z) = T(K(y,z) * x,K(y,z)). T(K(x,y) * z,K(x,y)) = z * K(x,y). (K(x,y) * z) * K(y,x) = T(z,K(y,x)). K(x,y) * T(K(y,x) * z,u) != w | T(z * K(y,x),u) * K(x,y) = w. T(x,K(y,z)) * K(z,y) = K(z,y) * x. K(x,y) * z != K(x,y) * u | T(T(u,K(y,x)),K(x,y)) = z. T(T(x,K(y,z)),K(z,y)) = x. K(x,y) * K(z,y) = K(z,y) * K(x,y). (x * K(y,x)) * K(z,x) = K(z,x) * (x * K(y,x)). K(x,y) * (y * K(z,y)) = (y * K(z,y)) * K(x,y). K(R(x \ (y / z),x,y / (y / z)),x) = K(((z \ y) * z) / (x * (y / (y / z))),x). x != L(y,K(z,u),u) | x = y. (x * K(y,x)) \ z = K(x,y) * (x \ z). x != (y * K(z,y)) \ 1 | x = y \ K(y,z). K(x,y) * (x \ 1) = x \ K(x,y). (x \ 1) / (x \ K(x,y)) = K(y,x). (x \ 1) / (x \ K(x,y)) != z | K(y,x) = z. x != ((y * (z / y)) / T(y,z)) * y | x = T(y * (z / y),y). (x / T(y,x)) * T(y,y \ x) = T(y * (x / y),y). x != T(y * (z / y),y) | x = y * (T(z,y) / y). (x / T(y,x)) * T(y,y \ x) = y * (T(x,y) / y). (x / T(y,x)) * z != y * (T(x,y) / y) | z = T(y,y \ T(x,y)). T(x,x \ y) = T(x,x \ T(y,x)). T(x,x \ T(y,x)) = T(x,x \ y). T(x,y) / T(y,y \ x) = y \ T(x,y). T(x,T(x,y) \ y) = T(x,x \ y). T(x * y,x) / T(x,y) = x \ T(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). (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 != (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). 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). 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 * y) \ (x * (y * z)) = L(z,T(y,x),T(x,y)). (x * (y * z)) \ ((x * y) * z) = a(T(x,y),T(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 != 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 * (T(x,y) \ x) != z | (y * x) / y = z. (x * y) \ (T(x,y) * z) = L(T(y,x) \ z,y,x). (x * y) \ T(x,y) = L(T(y,x) \ 1,y,x). L(T(x,y) \ 1,x,y) = (y * x) \ T(y,x). T(x,y) * (T(y,x) * z) != u | x * (y * z) = u. 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,y) = L(x,y \ z,T(y,z)). L(x,y \ z,T(y,z)) = L(x,y \ z,y). (x * (y / x)) \ (T(x,y / x) * z) = L((x \ y) \ z,y / x,x). T(x,T(y,x)) * (T(y,x) * z) != u | x * (y * z) = u. 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. (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. L(K(x \ y,x) * z,K(x,x \ y),y) = (x * (y / x)) \ (y * z). (x * (y / x)) \ (T(x,x \ y) * z) = L((x \ y) \ z,y / x,x). K(x \ 1,x) * T(y,x) = x * (T((x \ 1) \ 1,y) \ y). x != K(y \ 1,y) * T(z,y) | x = T(z * K(y \ 1,y),y). x * (T((x \ 1) \ 1,y) \ y) = T(y * K(x \ 1,x),x). T(x * K(y \ 1,y),y) = y * (T((y \ 1) \ 1,x) \ x). ((T((x \ 1) \ 1,y) \ x) * T((x \ 1) \ 1,y)) * (T((x \ 1) \ 1,y) \ y) = y * T(y \ T(y * K(x \ 1,x),x),T((x \ 1) \ 1,y)). (x * T(y,x)) / T((x \ y) * x,x) = T(x,T(x,y) \ y). (x * y) / T((y \ x) * y,y) = T(y,T(y,x) \ x). x != T(y,T(y,z) \ z) | x = T(y,y \ z). (x * y) / T((y \ x) * y,y) = T(y,y \ x). L(T(x,y),z,u) \ (y * L(x,z,u)) != w | T(T(y,L(x,z,u)),L(x,z,u)) = w. (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 * (K(y,x) * z)) \ (x * (K(y,x) * (z * u))) = L(u,z,x * K(y,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(T(x,x \ y) * (x \ y),z)) / y = (x / y) * T(x * (y / x),z). (x * T(x * (y / x),z)) / y = (x / y) * T(x * (y / x),z). (x / y) / (y \ 1) = ((y \ 1) \ x) * T(y \ 1,x). ((x \ 1) \ y) * T(x \ 1,y) = (y / x) / (x \ 1). (x * (K(y,x) * z)) \ (x * (K(y,x) * (z * u))) = L(L(u,z,x),x * z,K(y,x)). L(L(x,y,K(z,u)),K(z,u) * y,K(u,z)) = y \ (y * x). L(L(x,y,K(z,u)),K(z,u) * y,K(u,z)) != w | w = x. 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 != 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(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 * (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 * y) \ ((x * (y * z)) * K(u \ 1,u)) = L(z,y,x) * K(u \ 1,u). R(x,y,K(z,z \ 1)) = x. R(x,y,1 / z) = R(x,y,z \ 1). 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)). R(x,y,1 / (1 / z)) = R(x,y,z). T(x,y) = T(x,K(z \ 1,z) * y). T(x,K(y \ 1,y) * z) = T(x,z). T(x,K(y,y \ 1) * z) = T(x,z). T(K(x,x \ 1) * y,T(z,y)) != u | T(K(x,x \ 1) * y,z) = u. K(x \ 1,x) * (y * z) = y * (K(x \ 1,x) * z). K(x,x \ 1) * (y * (z * K(x \ 1,x))) = y * z. 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 = (x * y) \ (K(z,z \ 1) * u). x / (y * (z * K(u \ 1,u))) = K(u,u \ 1) * (x / (y * z)). a(x,y,K(z \ 1,z)) = 1. a(x,y,K(z,z \ 1)) = 1. L(K(x,x \ 1),y,z) = K(x,x \ 1). x != L(K(y,y \ 1),z,u) | x = L(y,z,u) * ((1 / y) * (L(y,z,u) \ y)). K(x,x \ 1) = L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)). L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = K(x,x \ 1). x \ (y \ 1) = (x \ (1 / y)) * K(y \ 1,y). (x \ (1 / y)) * K(y \ 1,y) = x \ (y \ 1). x \ (y * z) = (x \ (y * ((z \ 1) \ 1))) * K(z \ 1,z). (x \ (y * ((z \ 1) \ 1))) * K(z \ 1,z) = x \ (y * z). x \ (K(y \ 1,y) * z) = (x \ z) * K(y \ 1,y). K(x,x \ 1) * (y \ (x \ 1)) = y \ (1 / x). (x \ (1 / R(y,z,u))) * K(y \ 1,y) = x \ (R(y,z,u) \ 1). K(x,x \ 1) * (y * (K(x \ 1,x) * z)) = y * z. x \ (K(y \ 1,y) * z) = K(y \ 1,y) * (x \ z). x \ K(y \ 1,y) = K(y \ 1,y) * (x \ 1). K(x \ 1,x) * (y \ 1) = y \ K(x \ 1,x). K(x,x \ 1) * (y * (z / ((x \ 1) \ 1))) = y * (z / x). K(x,x \ 1) * (y * z) = y * (K(x,x \ 1) * z). K(x,x \ 1) * (y * ((1 / x) \ z)) = y * ((x \ 1) \ z). K(x \ 1,x) * (y * T(x,z)) = y * T(1 / (1 / x),z). x != y \ (K(z \ 1,z) * u) | x = (K(z,z \ 1) * y) \ u. (x \ y) * K(z \ 1,z) = (K(z,z \ 1) * x) \ y. (K(x,x \ 1) * y) \ z = (y \ z) * K(x \ 1,x). K(x \ 1,x) * (y \ z) = (K(x,x \ 1) * y) \ z. (K(x,x \ 1) * y) \ z = K(x \ 1,x) * (y \ z). x \ (K(y,y \ 1) * z) = K(y,y \ 1) * (x \ z). (K(x,x \ 1) / y) \ z = ((1 / y) \ z) * K(x \ 1,x). ((1 / x) \ y) * K(z \ 1,z) = (K(z,z \ 1) / x) \ y. (((x \ 1) \ 1) * y) \ z = K(x \ 1,x) * ((x * y) \ z). K(x \ 1,x) * ((x * y) \ z) = (((x \ 1) \ 1) * y) \ z. x \ (K(y,y \ 1) * z) = (x \ z) * K(y,y \ 1). x \ (y * K(z,z \ 1)) = K(z,z \ 1) * (x \ y). x \ (K(y,y \ 1) * z) != u | (x \ z) * K(y,y \ 1) = u. x != y \ (z * K(u,u \ 1)) | x = (K(u \ 1,u) * y) \ z. K(x,x \ 1) * (y \ z) = (K(x \ 1,x) * y) \ z. (K(x \ 1,x) * y) \ z = K(x,x \ 1) * (y \ z). (x * y) \ ((x * (y * z)) * K(u,u \ 1)) = K(u,u \ 1) * L(z,y,x). ((1 / x) \ y) \ z = K(x,x \ 1) * (((x \ 1) \ y) \ z). K(x,x \ 1) * (((x \ 1) \ y) \ z) = ((1 / x) \ y) \ z. T(x,y * ((z \ 1) \ u)) = T(x,y * ((1 / z) \ u)). T(x,y * ((1 / z) \ u)) = T(x,y * ((z \ 1) \ u)). T(x,K(y \ 1,y) * (z * ((1 / u) \ w))) = T(x,(K(y \ 1,y) * z) * ((u \ 1) \ w)). T(x,(K(y \ 1,y) * z) * ((u \ 1) \ w)) = T(x,K(y \ 1,y) * (z * ((1 / u) \ w))). K(x \ 1,x) * (y * ((x \ z) \ z)) = y * T(1 / (1 / x),x \ z). K(x \ 1,x) * (y * ((1 / z) \ u)) = y * ((K(x,x \ 1) / z) \ 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). K(x \ 1,x) * (y / (z * (u * K(x \ 1,x)))) = y / (z * u). 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. K(x \ 1,x) * (y / z) = y / (K(x,x \ 1) * z). x / (K(y,y \ 1) * z) = K(y \ 1,y) * (x / z). T(K(x,x \ 1) * y,z) = T(z,y) \ (K(x,x \ 1) * (z * y)). T(x,y) \ (K(z,z \ 1) * (x * y)) = T(K(z,z \ 1) * y,x). (T(x,y) \ (x * y)) * K(z,z \ 1) = T(K(z,z \ 1) * y,x). 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 * K(z,z \ 1) | x = K(z,z \ 1) * y. 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). K(x,x \ 1) * T(K(x,x \ 1) \ y,z) = T(y,z). x * y != K(z,z \ 1) * T(K(z,z \ 1) \ u,w) | x \ T(u,w) = 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) / y = y \ T(y * x,z). (x \ T(y,z)) * x = T((x \ y) * x,z). T((x \ y) * x,z) = (x \ T(y,z)) * x. T(x,y) / z = z \ T(z * (x / z),y). x \ T(x * (y / x),z) = T(y,z) / x. (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 \ 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. x * (T(y * x,z) / x) = T(x * y,z). (x \ T(x * y,z)) * x = T(y * x,z). T(x \ T(x * y,z),x) = x \ T(y * x,z). T((x \ (y / z)) * x,z) = (x \ (z \ y)) * x. x * (T(y,z) / x) = T(x * (y / x),z). T(x * (y / x),z) = x * (T(y,z) / x). x \ T(T(x,y) * y,z) = T(x * y,z) / x. T(x,y) \ T(x * (y / x),z) = T(y,z) / T(x,y). (x \ y) * (T(y,z) / (x \ y)) = T((x \ y) * x,z). (T(x,y) * (z \ 1)) * z = T((x * (z \ 1)) * z,y). T((x * (y \ 1)) * y,z) = (T(x,z) * (y \ 1)) * y. x * y != z * (T(u,w) / z) | x \ T(z * (u / z),w) = y. T(x,y) \ T(z * (x / z),y) = K(z,z \ T(x,y)). T(x * ((y / z) / x),z) = x * ((z \ y) / x). (x * T(x * (y / x),z)) / y = (T(x,x \ T(y,z)) / y) * T(y,z). T(x * (y / x),z) \ T(y,z) = K(x \ T(y,z),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 * ((x \ z) / y)) = (y * ((z / x) / y)) * x. (x * ((y / z) / x)) * z = z * (x * ((z \ y) / x)). (x \ K(y,z)) * x != u | T((x \ K(y,z)) * x,T(z,w)) = u. ((x * ((y * x) \ y)) \ 1) * T(((x * ((y * x) \ y)) \ 1) \ (1 / ((y * x) \ y)),z) = T(x,z) / (x * ((y * x) \ y)). T(x,y) \ T(T(x,y) * ((z * (x / z)) / T(x,y)),u) = T(z * (x / z),u) / T(T(x,y),z * (x / z)). (x \ y) \ T((x \ y) * x,z) != u | u = T(y,z) / (x \ y). (x \ y) \ T((x \ y) * x,z) != u | T(y,z) / (x \ y) = u. R((x \ (y / z)) * x,z,z \ 1) / (z \ 1) = z * ((x \ (z \ y)) * x). ((x \ y) * x) * (y \ z) = (y \ z) * ((x \ ((y \ z) \ z)) * x). (x \ y) * ((z \ ((x \ y) \ y)) * z) = ((z \ x) * z) * (x \ y). ((x \ (y / z)) * x) * z = z * (x * T(x \ (z \ y),x)). x * (y * T(y \ (x \ z),y)) = ((y \ (z / x)) * y) * x. ((x \ R(1 / y,y,z)) * x) * (y * z) = (y * z) * ((x \ ((y * z) \ z)) * x). (x * ((y \ z) * y)) / x = (y \ ((x * z) / x)) * y. (x * ((y / (y * z)) / x)) * (y * z) = (y * z) * (x * (L(z \ 1,z,y) / x)). (x \ y) * T(x,y) = (x \ ((x * y) / x)) * x. (x \ ((x * y) / x)) * x = (x \ y) * T(x,y). (x \ 1) * ((x \ y) / (x \ 1)) = x \ (((x \ 1) * y) / (x \ 1)). x \ (((x \ 1) * y) / (x \ 1)) = (x \ 1) * ((x \ y) / (x \ 1)). x != ((y \ 1) \ z) * T(y \ 1,z) | x = (z / y) / (y \ 1). ((x \ 1) \ (((x \ 1) * y) / (x \ 1))) * (x \ 1) = (y / x) / (x \ 1). ((x \ (y / z)) * x) * z = (z * x) * T((z * x) \ y,x). (x * y) * T((x * y) \ z,y) = ((y \ (z / x)) * y) * x. x != (y \ 1) * (z / (y \ 1)) | x = ((y \ 1) * z) * y. x \ (((x \ 1) * y) / (x \ 1)) = ((x \ 1) * (x \ y)) * x. x * (((x \ 1) * (x \ y)) * x) = ((x \ 1) * y) / (x \ 1). ((x \ 1) * y) / (x \ 1) != x * z | ((x \ 1) * (x \ y)) * x = z. x != (y * T(y * (z / y),u)) / z | x = (y / z) * T(y * (z / y),u). (T(x,x \ T(y,z)) / y) * T(y,z) = (x / y) * T(x * (y / x),z). x != ((y \ 1) \ z) * (y \ 1) | x = y * (z * (1 / y)). (x / y) / (y \ 1) = y * ((((y \ 1) * x) / (y \ 1)) * (1 / y)). x * ((((x \ 1) * y) / (x \ 1)) * (1 / x)) = (y / x) / (x \ 1). x * (((x \ 1) * y) * K(x,x \ 1)) = (y / x) / (x \ 1). x * ((1 / x) * y) = (y / x) / (x \ 1). (x / y) / (y \ 1) = y * ((1 / y) * x). x / (y \ 1) = y * ((1 / y) * (x * y)). x * ((1 / x) * (y * x)) = y / (x \ 1). L(x,y,y \ 1) * y = x / (y \ 1). x \ (y / (x \ 1)) = (1 / x) * (y * x). x * y != z / (y \ 1) | x = y * ((y \ 1) * z). L(x,y,y \ 1) = y * ((y \ 1) * x). x * ((x \ 1) * y) = L(y,x,x \ 1). x * ((x \ y) * x) = L(y * x,x,x \ 1). L(x * y,y,y \ 1) = y * ((y \ x) * y). L(x,y,y \ 1) != z | L(x,y \ 1,y) = z. ((1 / x) * (y * x)) * x = ((x \ 1) * y) * (x * x). x != y * ((y \ z) * y) | x = z / (1 / y). L(x * y,y,y \ 1) = x / (1 / y). L(x,y,y \ 1) = (x / y) / (1 / y). (x / y) / (1 / y) = L(x,y,y \ 1). L(x,y,y \ 1) * (1 / y) = x / y. (1 / x) * (x * y) != z | L(y,x \ 1,x) = z. x * y != z * (y * y) | x = z / (y \ 1). (1 / x) * (y * x) = ((x \ 1) * y) / (x \ 1). ((x \ 1) * y) / (x \ 1) = (1 / x) * (y * x). x != (1 / y) * (z * y) | x = L(T(z,y),y,y \ 1). ((x \ 1) * y) / (x \ 1) = L(T(y,x),x,x \ 1). L(T(x,y),y,y \ 1) = ((y \ 1) * x) / (y \ 1). x != L(y,z,z \ 1) | x = z * ((z \ 1) * y). ((x \ 1) * y) / (x \ 1) = x * ((x \ 1) * T(y,x)). ((x \ 1) * (x \ y)) * x = (x \ 1) * T(y,x). (x \ y) / (x \ 1) = T(y,x). T(x,y) = (y \ x) / (y \ 1). x != (y \ z) / (y \ 1) | x = ((1 / y) * z) * y. T(x,y) = ((1 / y) * x) * y. x * y != (z \ u) / (z \ 1) | T(u,z) / y = x. T(x,y) / y = (1 / y) * x. T(x * y,x) = y / (x \ 1). T(x,y) * (y \ 1) = y \ x. x / T(y,x) = (1 / y) * x. T((1 / x) \ y,x) = y * x. T(x,y \ 1) = (y * x) * (y \ 1). (x * y) * (x \ 1) = T(y,x \ 1). ((1 / x) * y) \ y = T(x,y). T(x,y) = ((1 / x) * y) \ y. T(T(x,y) * y,x) = ((x * y) / x) / (x \ 1). K(x \ (y / (x \ 1)),x) = K(y,x). K(x / (y \ 1),y) = K(y * x,y). T(K(x,y) * z,K(x,y)) != u | z * K(x,y) = u. x * (y \ 1) = y \ ((y * x) / y). x \ ((x * y) / x) = y * (x \ 1). x / T(y \ 1,x) = y * x. (1 / x) * y != z | T(y,x) / x = z. T(x \ y,x \ 1) = y * (x \ 1). x * (y * x) = ((1 / x) \ y) * x. ((1 / x) \ y) * x = x * (y * x). T(x \ 1,y) = (x * y) \ y. x != (y * y) \ y | x = 1 / y. T(x \ 1,x) = 1 / x. T(x \ 1,x \ y) = y \ (x \ y). T((x / y) \ 1,y) = x \ y. T(T(x,y) \ 1,y \ 1) = (y \ x) \ (y \ 1). ((x \ 1) \ 1) \ 1 = 1 / x. 1 / (1 / x) = (x \ 1) \ 1. x * (y \ x) = ((y / x) \ 1) * x. ((x / y) \ 1) * y = y * (x \ y). K(x \ y,y) = K((x / y) \ 1,y). K((x / y) \ 1,y) = K(x \ y,y). T((x \ 1) \ 1,y) \ 1 = 1 / T(x,y). K(1 / x,y) != z | K(x \ 1,y) = z. ((x \ 1) \ 1) \ 1 != y | y = 1 / x. ((x \ 1) \ 1) \ 1 != y | 1 / x = y. K(x \ y,x) = K(y * (x \ 1),x). K(x * (y \ 1),y) = K(y \ x,y). x != y \ ((y * z) / y) | x = ((z * y) / z) \ z. x * (y \ 1) = ((x * y) / x) \ x. ((x * y) / x) \ x = x * (y \ 1). x * (y * (x \ 1)) = (x * y) / x. x * y != y * (z * y) | x = L(y,z,y) * z. (1 / x) \ y = L(x,y,x) * y. L(x,y,x) * y = (1 / x) \ y. K(x \ (y \ x),y \ x) = K(y \ 1,y \ x). x * y != z * ((u \ z) \ z) | ((u \ 1) \ z) / y = x. ((x \ 1) \ y) / y = ((x \ y) / y) \ 1. x != K(y * (z \ 1),z) | x = K(y * (1 / z),z). K(x \ y,x) = K(y * (1 / x),x). K(x * (1 / y),y) = K(y \ x,y). x \ y = y * (T(x,y) \ 1). x * (T(y,x) \ 1) = y \ x. x * y != K(z,u) \ x | T(K(u,z),x) = y. T(K(x,y),z) = T(K(y,x),z) \ 1. T(K(x,y),z) \ 1 = T(K(y,x),z). x \ (y \ x) = T(y,x) \ 1. T(x,y) \ 1 = y \ (x \ y). (x \ y) * (y \ 1) = T(T(x,y) \ 1,y \ 1). T(T(x,y) \ 1,y \ 1) = (x \ y) * (y \ 1). 1 / (x \ (y \ x)) = T(y,x). T(x,y) = 1 / (y \ (x \ y)). x / (T(y,x) \ 1) = (1 / y) \ x. ((x * y) \ y) \ 1 = y \ ((x \ 1) \ y). T(x / y,x) = 1 / (x \ y). x * y != (x * ((z \ x) * z)) / x | y = K(z \ x,z). ((x \ y) * x) * (y \ 1) = K(x \ y,x). ((x * y) / x) * L(z,y * (x \ 1),x) = x * ((y * (x \ 1)) * z). K(x * y,y \ 1) = K((y \ 1) \ x,y \ 1). K((x \ 1) \ y,x \ 1) = K(y * x,x \ 1). (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). x / (T(y \ 1,x) \ 1) = y \ x. x / ((y \ x) \ 1) = (y / x) \ x. ((x / y) \ y) \ y = (x \ y) \ 1. L(x,y,y \ 1) != z | T(y * x,y) / y = z. K(x,y) != z | K((x \ 1) \ 1,y) = z. L(K(x,y),z,u) \ 1 != w | 1 / L(K(x,y),z,u) = w. x / (1 / T(y,x)) = (y \ 1) \ x. ((x \ 1) \ y) \ y = 1 / T(x,y). x != ((y \ 1) \ (y \ z)) \ (y \ z) | x = T(y \ 1,z). 1 / T(x,x \ y) = T(x \ 1,y). x / (1 / T(y,x)) != z | z = (y \ 1) \ x. x / (1 / T(y,x)) != z | (y \ 1) \ x = z. x != ((y \ z) * y) * (z \ 1) | x = ((y \ z) * y) / z. K(x \ y,x) = ((x \ y) * x) / y. ((x \ y) * x) / y = K(x \ y,x). (x * y) * ((y * x) \ 1) = K(y \ (y * x),y). K(x \ (x * y),x) = (y * x) * ((x * y) \ 1). K(x \ y,x) * y = (x \ y) * x. K(x,x \ y) * ((x \ y) * x) = y. x / ((y \ x) * y) = K(y,y \ x). x * y != K(z,z \ u) * ((z \ u) * z) | u / y = x. x / y = (y \ x) * K(y,y \ x). (x \ y) * K(x,x \ y) = y / x. x / y = K(y,y \ x) * (y \ x). K(x,x \ y) * (x \ y) = y / x. x != y / ((z \ y) * z) | x = (z * (y / z)) / y. K(x,x \ y) = (x * (y / x)) / y. (x * (y / x)) / y = K(x,x \ y). K(x,x \ y) / (y / x) = 1 / (x \ y). (x / y) * z = (y \ x) * (K(y,y \ x) * z). (x \ y) * (K(x,x \ y) * z) = (y / x) * z. (x / y) * z = K(y,y \ x) * ((y \ x) * z). K(x,x \ y) * ((x \ y) * z) = (y / x) * z. (x / y) * ((y \ x) \ z) = K(y,y \ x) * z. (x \ y) * K(x,y / x) = y / x. (x / y) \ z = K(y \ x,y) * ((y \ x) \ z). K(x \ y,x) * ((x \ y) \ z) = (y / x) \ z. x != K(y,z) * (y \ u) | x = (y * K(z,y)) \ u. x / y = (y * K(y \ x,y)) \ x. (x * K(x \ y,x)) \ y = y / x. K(x,y / x) * (x \ y) = y / x. K(x,x \ y) * y = x * (y / x). x / (x / y) = y * K(y \ x,y). T(x,K(y,y \ x)) = x. K(x \ y,x) * (x * (y / x)) = y. (x * (y / x)) \ (K(x,x \ y) * (y * z)) != u | L(z,y,K(x,x \ y)) = u. K(x,y / x) * y = x * (y / x). x != y * K(z,y) | x = K(z,y) * y. x / (x / y) = K(y \ x,y) * y. x * y != z * K(z \ u,z) | x \ (u / (u / z)) = y. ((x \ y) * x) \ (y / (y / x)) = y \ x. (x * y) / ((x * y) / x) = x * K(y,x). x / y = (y \ x) * K((y \ x) \ x,y \ x). (x \ y) * K((x \ y) \ y,x \ y) = y / x. R(x * K(x \ y,x),z,u) * (y / x) = (y / x) * R(x,z,u). x / (T(x,y) / y) = T(y,x) * K(T(y,x) \ x,T(y,x)). T(x,y) * K(T(x,y) \ y,T(x,y)) = y / (T(y,x) / 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 / (x / y)) \ 1 = y \ K(y,y \ x). ((x * (y / x)) \ T((x * (y / x)) * K(x \ y,x),z)) * (x * (y / x)) = T(y,z). K(x,y \ 1) * (y \ x) = x * ((y \ x) / x). K(x,x \ y) * (y / (y / x)) = x. T(x,y) \ x = K(y,x). K(x,y) = T(y,x) \ y. K(x,y) = T(y,T(x,y)) \ 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 = (z * y) / (y * z). K(x,y) = (x * y) / (y * x). x != T(y,z) \ y | x = ((y * z) / y) \ z. K(x,y) = ((y * x) / 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). K(x,y) = y / T(y,x). x != T(y,z) \ y | x = (T(y,z) \ 1) * T(y,y \ 1). K(x,y) = (T(y,x) \ 1) * T(y,y \ 1). x != T(y,z) \ y | x = y * (T(y,z) \ 1). K(x,y) = y * (T(y,x) \ 1). 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,z) \ y | x = z \ T(z,y). K(x,y) = x \ T(x,y). x * y != T(z,u) \ z | K(u,z) / y = x. K(x,y) / y = 1 / T(y,x). x * y != T(z,u) \ z | x \ K(u,z) = y. (T(x,y) \ 1) \ K(y,x) = T(x,x \ 1). x \ K(y,x) = T(x,y) \ 1. T(x,y) \ 1 = x \ K(y,x). T(x,y) * K(y,x) = x. 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,x) = T(x,y). T(x,y) = x / K(y,x). (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 * x) / y) = x. K(x,y) * (y * x) = x * 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). x \ (y * K(x,y)) = ((y * x) / y) \ y. ((x * y) / x) \ x = y \ (x * K(y,x)). 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,y) * (T(y,x) * z) = y * z. x * K(y,x) != z | (y * x) / y = z. K(x,T(y,z)) = T(y,z) / T(T(y,x),z). T(x,y) / T(T(x,z),y) = K(z,T(x,y)). K(x,y) \ y != z | z = T(y,x). K(x,y) \ y != z | T(y,x) = z. K(x,y) * T((y / T(y,x)) \ z,y) = ((y \ (z * T(y,x))) * y) / T(y,x). ((x \ (y * T(x,z))) * x) / T(x,z) = K(z,x) * T((x / T(x,z)) \ y,x). 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 = 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 \ 1). K(x,y) = T(x,y) * (x \ 1). 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 != z \ T(z,u) | x \ K(z,u) = y. x \ K(y,x \ 1) = (y * (x \ 1)) / y. x != K(y,z) | x = K(u \ (u * y),z). x \ T(x,y) = K(z \ (z * x),y). K(x \ (x * y),z) = y \ T(y,z). 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). 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,y) * ((x \ 1) \ z) = z * T(z \ ((x \ 1) \ z),y). K(a(x,y,z),z \ L(z,y,x)) = a(x,y,z) \ ((a(x,y,z) \ 1) \ 1). 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) * (x * z) = T(x,y) * z. K(x,y * x) = x \ T(x,x * y). x \ T(x,x * y) = K(x,y * x). x * y = T(x,z) * (K(z,x) * y). T(x,y) * (K(y,x) * z) = x * z. x \ T(x,y) != z | K(x,y) = z. T(x,y) != z | x * K(x,y) = z. x / T(x,y) != z | z = K(y,x). x / T(x,y) != z | K(y,x) = z. 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 = (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). T(x,y) = T(T(x * K(z,x),y),z). T(T(x * K(y,x),z),y) = T(x,z). (x * y) / x != z | z = y * K(x,y). (x * y) / x != z | y * K(x,y) = 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). 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 * R(T(y,z),u,w) = R(T(y * K(x,y),z),u,w) * x. R(T(x * K(y,x),z),u,w) * y = y * R(T(x,z),u,w). L(x,y,R(x * K(y,x),z,u)) = T(x * K(y,x),R(x * K(y,x),z,u) * y). T(x * K(y,x),R(x * K(y,x),z,u) * y) = L(x,y,R(x * K(y,x),z,u)). K(x,y) = K(x,y * K(x,y)). K(x,y * K(x,y)) = K(x,y). K(x,y) = K(x * K(y,x),y). K(x * K(y,x),y) = K(x,y). T(x * K(y,x),T(y,x)) = x. T(x,K(y,z)) = x * K(K(z,y),x). x * K(K(y,z),x) = T(x,K(z,y)). T(x,x / y) = x * K(x,y \ x). x * K(x,y \ x) = T(x,x / y). T(x,y) != x * z | K(x,y) = z. (x * y) * K(y,z) != u * T(y,z) | R(x,y,K(y,z)) = u. T(1 / x,y) = (1 / x) * K(x \ 1,y). (1 / x) * K(x \ 1,y) = T(1 / x,y). T(x,T((y \ 1) \ 1,z)) = T(x,y * K(y,z)). x * y != K(z,u) * z | T(z,u) / y = x. T(x,y) / (y \ x) = y * K(x,y). T(K(x,y),z) * K(y,x) = K(K(x,y),z). K(L(x,y,z),u) * L(x,y,z) = L(T(x,u),y,z). x * y != T(R(z,u,w),v5) | R(T(z,v5),u,w) / y = x. R(T(x,y),z,u) / R(x,z,u) = K(R(x,z,u),y). x * (K(y,x) * y) = y * x. (x * K(y,z)) \ (x * T(y,z)) != u | L(y,K(y,z),x) = u. (T(x,y) * y) / T(x,y) = y * K(x,y). R(T(K(x,y),(y * x) * z),y * x,z) = ((y * x) * z) \ ((x * y) * z). (x * y) \ T((x * y) * K(y,x),z) = T(y * x,z) / (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 \ y,x) = T(x \ 1,y) * x. T(x \ 1,y) * x = K(x \ 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,K(y,z)) = K(y,z) * T(K(z,y),x). K(x,y) * T(K(y,x),z) = K(z,K(x,y)). x \ K(x \ y,x) = ((x \ y) \ y) \ 1. ((x \ y) \ y) \ 1 = x \ K(x \ y,x). 1 / (x \ K(y,x)) = T(x,y). T(x,y) = 1 / (x \ K(y,x)). 1 / (x \ K(y,x)) != z | z = T(x,y). 1 / (x \ K(y,x)) != z | T(x,y) = z. K(x,y) * y = (x * y) / x. (x * y) / x = K(x,y) * y. x / ((y * x) / y) = K(x,y). K(x,y) = x / ((y * x) / y). K(L(x,y,z),z * y) * ((z * (y * x)) / (z * y)) = L(x,y,z). K(L(x,y,z),z * y) * (z * (y * x)) = L(x,y,z) * (z * y). (x * (y * x)) / (x * y) = x * K(y,x). 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). R(x,y,x) = T(x,y) * K(x * y,T(x,y)). T(x,y) * K(x * y,T(x,y)) = R(x,y,x). T((x * y) / x,z) = T(y,z) * K(x,T(y,z)). 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). 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) / x != y * z | K(x,y) = z. T(x * K(y,x),y) != z | z = x. ((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). T(x * K(y,x),x * y) = L(x,y,x). T(T(x * K(y,x),z),y) != u | T(x,z) = u. R(x,y,x) = T(x * K(y * x,x),y). T(x * K(y * x,x),y) = R(x,y,x). L(x * K(y,x),z,u) = (y * L(x,z,u)) / y. R(x * K(y,x),z,u) = (y * R(x,z,u)) / y. L(x * K(y * z,x),z,y) = (y * (z * x)) / (y * z). ((x * y) * L(y,z,u)) / (x * L(y,z,u)) = y * K(x * L(y,z,u),y). ((x * y) * T(y,z)) / (x * T(y,z)) = y * K(x * T(y,z),y). ((x * y) * R(y,z,u)) / (x * R(y,z,u)) = y * K(x * R(y,z,u),y). ((x * y) * R(T(x,y),z,u)) / (R(x,z,u) * y) = T(x,y) * K(R(x,z,u) * y,T(x,y)). ((x * y) / x) * z = y * (K(x,y) * z). ((x * y) / x) \ 1 = y \ K(y,x). (x \ (y * K(x,y))) * x = (x \ y) * T(x,y). x * (y * K(z,y)) = x * ((z * y) / z). x * ((y * z) / y) = x * (z * K(y,z)). (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)). x * (y * z) != (y * z) * T(z,y) | x = R(z,y,z). T(x,y) * K(y * x,T(x,y)) = R(x,y,x). ((x * y) * z) / (x * z) != u | R(y * K(x,y),x,z) = u. L(x * K(y,x),K(x * K(y,x),y),z) = (z * K(x,y)) \ (z * x). T(x,y) * L(y,z,u) = L(y * K(x,y),z,u) * T(x,y). L(x * K(y,x),z,u) * T(y,x) = T(y,x) * L(x,z,u). (x * y) \ (y * (K(x,y) * (x * z))) = L(z,x,y * K(x,y)). x * y != (z * ((u * w) / u)) / z | ((u * ((z * w) / z)) / u) / y = x. ((x * ((y * z) / y)) / x) / ((x * z) / x) = K(y,(x * z) / x). x * y != z / ((u * z) / u) | K(z,u) / y = x. K(x,y) / x = 1 / ((y * x) / y). L(x,y,z) \ L(T(x,u),y,z) != w | K(L(x,y,z),u) = w. R(x,y,z) \ R(T(x,u),y,z) != w | K(R(x,y,z),u) = w. x * T(x \ 1,y) != z | K(x \ 1,y) = z. K(x \ (x / y),x) != z | K(y \ 1,x) = z. T(x,y) / T(T(x,z),y) != u | K(z,T(x,y)) = u. R(x * T(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). K(L(x,y,z) \ 1,u) = L(x * T(x \ 1,u),y,z). L(x * T(x \ 1,y),z,u) = K(L(x,z,u) \ 1,y). x != K(y \ (y / T(z,u)),y) | x = T(z * T(z \ 1,y),u). K(T(x,y) \ 1,z) = T(x * T(x \ 1,z),y). T(x * T(x \ 1,y),z) = K(T(x,z) \ 1,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). x * T(x \ y,z) = y * K((y \ x) \ 1,z). (x \ y) * K(((x \ y) \ (x \ 1)) \ 1,z) = x \ T(y,z). K((x / y) \ 1,z) * y = x * T(x \ y,z). x != (y * z) * T((y * z) \ u,y) | x = ((y \ (u / z)) * y) * z. K((x * y) \ 1,x) = ((x \ (1 / y)) * x) * y. ((x \ (1 / y)) * x) * y = K((x * y) \ 1,x). (x * y) * T((x * y) \ x,z) = x * K(y \ 1,z). K(x \ 1,y) * (x \ z) = z * T(z \ (x \ z),y). (x * y) * T((x * y) \ y,z) = K(x \ 1,z) * y. x * (y * T(y \ (x \ y),z)) = K(x \ 1,z) * y. (x * y) * (z * T(z \ L(y \ z,y,x),u)) = (x * K(y \ 1,u)) * z. x * y != (z \ 1) * K(u,z) | (T(z,u) \ 1) / y = x. (T(1 / x,y) \ 1) / K(y,1 / x) = x. L(K(x,y),y \ 1,z) = (z * (y \ 1)) \ (z * (T(y,x) \ 1)). (x * (y \ 1)) \ (x * (T(y,z) \ 1)) = L(K(z,y),y \ 1,x). (T(x,y) \ 1) \ (x \ 1) = K(x,y). K(x,y) = (T(x,y) \ 1) \ (x \ 1). (T(x,y) \ 1) \ (x \ 1) != z | K(x,y) = z. x * y != T(x,K(z,u)) * K(u,z) | T(K(u,z),x) = y. 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). x \ (T(x,y) * z) = K(x,y) * z. 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 != 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). (K(x,y) * z) \ T(T(x,y) * z,x) != u | R(x,K(x,y) * z,x) = u. (x \ y) / (T(x,z) \ y) = K(x,z). (x \ y) * T((x \ y) \ y,z) = K(x,z) * y. (K(x,y) * z) / (x \ z) = T(x,y). x * y != K(z,u) * (K(u,z) * w) | x \ w = y. T(x,y) \ z = x \ (K(y,x) * z). x \ (K(y,x) * z) = T(x,y) \ z. x != T(y,z) * u | x = y * (K(y,z) * u). K(x,y) * z = x * (K(x,y) * (x \ z)). x * (K(x,y) * (x \ z)) = K(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). (K(x,y) * z) / (x \ z) != u | u = T(x,y). (K(x,y) * z) / (x \ z) != u | T(x,y) = u. (x * y) \ (y * (K(x,y) * z)) = L(x \ z,T(x,y),y). 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. 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) * (x * z) != u | u = T(x,y) * z. K(x,y) * (x * z) != u | T(x,y) * z = u. K(x \ (x * y),z) != u | K(y,z) = u. K(x,y) \ (z * T(x,y)) = x * T(z,T(x,y)). x * y != K(z,u) * (z * w) | x \ (T(z,u) * w) = y. x \ (T(x,y) * y) = y * K(x,y). T(x,y) * (x \ z) != u | K(x,y) * z = u. ((T(x,y) * z) * u) / ((x * z) * u) != w | R(K(x,y),x * z,u) = w. (T(x,y) * z) \ (K(x,y) * (x * (z * u))) = L(L(u,z,x),x * z,K(x,y)). K(x,x * y) = K(x,y * x). K(x,y * x) = K(x,x * y). K(x,y * x) != z | K(x,x * y) = z. K(x,y) = K(x,x * (y / x)). K(x,x * (y / x)) = K(x,y). K(x,T(x * y,z)) = K(x,T(y * x,z)). K(x,T(y * x,z)) = K(x,T(x * y,z)). K(x \ y,T((x \ y) * x,z)) = K(x \ y,T(y,z)). K(x,y / z) * (z * T(z \ y,x)) = y. x != y * K(z,z \ y) | x = z * (y / z). T(x,y) * (K(y,x) * K(z,z \ x)) = z * (x / z). x * y != z * K(z,u) | T(z,u) / y = x. T(x,y) / (K(z,x) * K(x,y)) = T(x,z). x * y != T(x,z) * u | K(z,x) * y = u. T(x,y) * z != x * u | K(y,x) * u = z. T(x,y) \ (x * z) != u | u = K(y,x) * z. T(x,y) \ (x * z) != u | K(y,x) * z = u. T(x,x \ y) / (y \ x) = ((1 / (y \ x)) \ y) * (1 / (y \ x)). x * y != T(x,z) | y = K(x,z). K(K(x,y),z) = K(z,K(y,x)). T(T(x,K(y,z)),K(z,y)) != u | u = x. K(x,K(y,z)) \ 1 = K(x,K(z,y)). K(x,K(y,z)) \ 1 != u | K(x,K(z,y)) = u. 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). K(x,y \ x) = K(x,x / y). K(x,x / y) = K(x,y \ x). K(x,y) = K(x,(y \ x) \ x). K(x,(y \ x) \ x) = K(x,y). K(x,x / (x / y)) = K(x,y). K(x * y,T(y,x)) = K(x * y,y). T(x * y,y) / T(x,y) = y * K(x * y,y). T(x * K(y,x),z) * (x \ y) = (x \ y) * T((x \ y) \ T(y,x),z). (x \ y) * T((x \ y) \ T(y,x),z) = T(x * K(y,x),z) * (x \ y). x * y != K(z \ (z * u),w) | K(u,w) / y = x. K(x,y) / y = T(y \ 1,y * x). T(x \ 1,x * y) = K(y,x) / x. x * y != T(z \ 1,u) * z | x \ K(z \ u,z) = y. (x \ 1) \ K(x \ y,x) = K(x \ 1,y) * x. K(x,y) / x = 1 / (x * K(y,x)). 1 / (x * K(y,x)) = K(x,y) / x. K(x,y) = (x \ K(y,x)) \ (x \ 1). (x \ K(y,x)) \ (x \ 1) = K(x,y). K(x,y) * z != u | T(x,y) * (x \ z) = u. x \ y != K(x,z) * u | T(x,z) \ y = u. K(x,x \ y) * (((x \ y) \ y) \ z) = x \ z. (L(x,y,z) \ u) / (L(T(x,w),y,z) \ u) = K(L(x,y,z),w). (R(x,y,z) * u) / (R(T(x,w),y,z) * u) = K(w,R(x,y,z)). (T(x,y) * y) / ((T(x,y) * y) / x) = x * K(y * K(x,y),x). K(x,K(y,z)) != u | K(K(z,y),x) = u. K(x * y,x) = K(y * x,x). K(x * y,y) = K(y * x,y). x != K(y * z,y) | x = K(z / (y \ 1),y). K(x * y,y) = K(x / (y \ 1),y). K(x / (y \ 1),y) = K(x * y,y). K(x,y) = K(y * (x / y),y). K(x * (y / x),x) = K(y,x). T(x * K(x * y,x),y * x) = x. K(T(x,y) * y,x) = K(x * y,x). K(T(x * (y / x),z),x) = K(T(y,z),x). x \ ((x / (K(y,y) / y)) * ((((y \ 1) \ y) \ y) * z)) = L(z,((y \ 1) \ y) \ y,x / T(y \ 1,(y \ 1) \ y)). L(x,((y \ 1) \ y) \ y,z / T(y \ 1,(y \ 1) \ y)) = z \ ((z / (K(y,y) / y)) * ((((y \ 1) \ y) \ y) * x)). (K(x,y) / x) \ 1 = x * K(y,x). L(x,R(y,x,y),x) = L(x,y * K(x * y,y),x). L(x,y * K(x * y,y),x) = L(x,R(y,x,y),x). T(x * K(x * y,x),y) = R(x,y,x). T(x,x * y) * K(y,x) = L(x,y,x). K((x / y) \ x,z) != u | K(y,z) = 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 / (x * y) = y \ K(y,y \ x). x \ K(x,x \ y) = y / (y * x). T((x \ K(x,x \ y)) \ 1,y * x) = y \ (y * x). K(x,y) * K(y \ 1,y) = (T(y,x) \ 1) * y. K(x \ 1,x) * K(y,x) = (T(x,y) \ 1) * x. T(x,y) = x * ((T(y,x) \ 1) * T(y,y \ 1)). x * ((T(y,x) \ 1) * T(y,y \ 1)) = T(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). x * y != z * T(z \ x,u) | T(K(x / z,u),x) = y. x * T(x \ y,z) != y * u | T(K(y / x,z),y) = u. x / (y * T(y \ x,z)) = K(z,x / y). (x * K(y,x)) \ y = x \ (y * K(x,y)). T(x,y) / T(T(x,z \ x),y) = K(x / z,T(x,y)). ((x * (1 / y)) / x) * y = K(x,y \ 1). x != T(y,z) * ((u * (T(y,z) \ 1)) / u) | x = T(y * ((u * (y \ 1)) / u),z). K(x,T(y,z) \ 1) = T(y * ((x * (y \ 1)) / x),z). T(x * ((y * (x \ 1)) / y),z) = K(y,T(x,z) \ 1). x * y != z * ((u * (z \ 1)) / u) | K(u,z \ 1) / y = x. K(x,y \ 1) / y = (x * (1 / y)) / x. (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) \ y)) / z) = K(z,x \ 1) * y. L(x,y,z) \ K(x,L(x,y,z) \ 1) = (L(x,y,z) \ x) / x. x * y != y * z | x = z * K(y,z). 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)). x != (y * z) / y | x = K(y,z) * z. T(x * K(y,x),z) = K(y,T(x,z)) * T(x,z). K(x,T(y,z)) * T(y,z) = T(y * K(x,y),z). x * y != (z * T(u,w)) / z | T(u * K(z,u),w) / y = x. T(x * K(y,x),z) / T(x,z) = K(y,T(x,z)). 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)). T(x,T(y,z)) * T(y,z) = x * T(y * K(x,y),z). 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(x * K(y,x),z) != u | T(x,z) * K(y,T(x,z)) = u. x * ((x \ y) * (((x \ y) \ z) * K(u,(x \ y) \ z))) = y * ((T(u,(x \ y) \ z) * (y \ (x * z))) / T(u,(x \ y) \ z)). x * ((T(y,(z \ x) \ u) * (x \ (z * u))) / T(y,(z \ x) \ u)) = z * ((z \ x) * (((z \ x) \ u) * K(y,(z \ x) \ u))). T(T(x * y,y) / (T(x * y,y) / x),T(x * y,y)) = L(x,y * K(x * y,y),x). (x / ((y * z) / y)) * (z * K(y,z)) = x. (T(1 / x,y) \ 1) / K(y,x \ 1) = x. T(K(x,y),z) * K(y,x) != u | u = K(z,K(y,x)). T(K(x,y),z) * K(y,x) != u | K(z,K(y,x)) = u. x * (K(x,y) * K(x,z)) = K(x,y) * T(x,z). K(x,y) * T(x,z) != u | K(x,z) * T(x,y) = u. K(x,y / (z \ 1)) * (z \ T(z * y,x)) = y. x / (K(y,x * K(z,x)) * K(x * K(z,x),z)) = T(x * K(z,x),y). 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(T(T(x,y) * y,z),x) = K(T(x * y,z),x). x / (y * (z * T(z \ (y \ x),u))) = K(u,x / (y * z)). x / (((y \ (x * z)) * y) / z) = K(y,x / (y / z)). K(1 / x,y) / (1 / x) = 1 / (K(y,x \ 1) / x). x * K(y,x \ 1) = T(1 / x,y) \ 1. T(1 / x,y) \ 1 = x * K(y,x \ 1). 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 * y,x) = R(x,y,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). x * (y * T(y \ (x \ 1),z)) != u | K((x * y) \ 1,z) = u. R(x * T(x \ 1,y),z,u) != w | K(R(x,z,u) \ 1,y) = w. K(x,y) * (z * x) != u | T(x,y) * T(z,x) = u. T(x,y) * (T(x,z) \ u) != w | K(x,y) * (K(z,x) * u) = w. K(K(x,y),z) != u | K(z,K(y,x)) = u. K(x * y,x) * K(x,y) = x \ R(x,y,x). K(x,y) * K(y * x,x) = x \ R(x,y,x). K(x * y,y) * K(y,x) = y \ R(y,x,y). x != (y / z) / (z \ 1) | x = z * ((1 / z) * y). T(T(x,y) * y,x) = x * ((1 / x) * (x * y)). L((x \ 1) \ y,x \ 1,((x * z) / x) / (x \ 1)) = ((x * z) / x) \ (T(T(x,z) * z,x) * y). x != T(T(y,z) \ 1,z \ 1) | x = (z \ y) \ (z \ 1). (x \ y) * (y \ 1) = (y \ x) \ (y \ 1). (x \ y) \ (x \ 1) = (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). x * K(x * y,y \ 1) = ((y \ 1) \ x) * (y \ 1). ((x \ 1) \ y) * (x \ 1) = y * K(y * x,x \ 1). K(x,y) = (x * y) * ((y * x) \ 1). x * y != K(z \ (z * u),w) | x \ K(u,w) = y. (x * y) \ K(x,y) = (y * x) \ 1. (x \ y) \ z = K(x,x \ y) * ((y / x) \ z). K(x,x \ y) * ((y / x) \ z) = (x \ y) \ z. x * y != K(z,z \ u) * (u / (u / z)) | x \ z = y. (x / y) \ y = (y \ x) \ (x / (x / y)). (x \ y) \ (y / (y / x)) = (y / x) \ x. R(x \ y,(y / x) \ x,x \ y) = ((x \ y) \ (y / (y / x))) \ x. x != y * ((z \ y) / y) | x = z \ T(y,z \ 1). K(x,y \ 1) * (y \ x) = y \ T(x,y \ 1). 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,x)) / ((x \ (y \ x)) * x) = y. 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). L(L(x,y,z) * K(u,L(x,y,z)),w,v5) * u = u * L(L(x,w,v5),y,z). 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). x != T(y,T((z \ 1) \ 1,u)) | x = T(y,T(z,u)). T(x,y * K(y,z)) = T(x,T(y,z)). K(x,y) * T((z * y) / z,x) = y * K(z,T(y,x)). 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 * 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). 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). L(x * K(y,x),z,u) != L(x,z,u) * w | K(y,L(x,z,u)) = w. 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). K(R(x,y,z),u) = R(x,y,z) / R(x * K(u,x),y,z). R(x,y,z) / R(x * K(u,x),y,z) = K(R(x,y,z),u). R(x * K(y,x),z,u) \ 1 = R(x,z,u) \ K(R(x,z,u),y). R(x,y,z) \ K(R(x,y,z),u) = R(x * K(u,x),y,z) \ 1. R(x * K(y,x),z,u) * w = R(x,z,u) * (K(y,R(x,z,u)) * w). R(x,y,z) * (K(u,R(x,y,z)) * w) = R(x * K(u,x),y,z) * w. T(K(x \ 1,y),z) = K(T(x,z) \ 1,y). K(T(x,y) \ 1,z) = T(K(x \ 1,z),y). K(T(1 / x,y) \ 1,z) = T(K(x,z),y). ((x * y) * z) \ ((x * z) * R(T(y,x * z),x,z)) = K((((x * y) * z) \ (x * z)) \ 1,x). (x * y) \ ((z * T(z \ x,u)) * y) = K(((x * y) \ (z * y)) \ 1,u). x \ T(x * y,z) = y * K((y \ (x \ 1)) \ 1,z). T(x,y) * z = (x * z) * K(((x * z) \ z) \ 1,y). (x * y) * K(((x * y) \ y) \ 1,z) = T(x,z) * y. x * T(x \ y,z) != y * u | K((y \ x) \ 1,z) = u. x != y * T(y \ z,u) | x = z * K((z \ y) \ 1,u). K((x / y) \ 1,z) * y = y * K((y \ x) \ 1,z). K(((x \ 1) / (x \ y)) \ 1,z) * (x \ y) = x \ T(y,z). (x * (y * T(y \ z,u))) / (x * z) = K(((x * y) / (x * z)) \ 1,u). x * y != z * T(z \ y,u) | x = K(y / z,u). K((x / y) \ 1,z) = K(y / x,z). 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). x != K(y / z,z) | x = K(z \ y,z). K((x / y) \ 1,x) = K(x \ y,x). x != K((y / z) \ 1,z) | x = K(y \ z,z). K(x / y,x) = K(y \ x,x). K(x \ 1,y) = K(z / (x * z),y). K(x / (y * x),z) = K(y \ 1,z). K(x \ 1,y) = K((x \ z) / z,y). K((x \ y) / y,z) = K(x \ 1,z). K(x / y,z) \ 1 = K(z,(y / x) \ 1). K(x,(y / z) \ 1) = K(z / y,x) \ 1. K(x \ 1,y) = K(y \ (x \ y),y). K(x \ (y \ x),x) = K(y \ 1,x). x * y != K((z \ u) / u,w) | x \ K(z \ 1,w) = y. ((x \ y) / y) \ K(x \ 1,((x \ y) / y) \ 1) = 1 / ((x \ y) / y). K(((x \ 1) \ y) / y,z) != u | K(x,z) = u. K(x \ 1,y) * ((y \ (x \ y)) \ z) = ((x \ y) / y) \ z. x != K(y,z) \ 1 | x = K(z,y). K(x,(y / z) \ 1) = K(x,z / y). K(x,(y / z) \ 1) != u | K(x,z / y) = u. x != K(y,z \ 1) | x = K(y,1 / z). K(x,y / z) = K(x,1 / (z / y)). K(x,1 / (y / z)) = K(x,z / y). K(x,y \ 1) = K(x,z / (y * z)). K(x,y / (z * y)) = K(x,z \ 1). K(x,y \ 1) = K(x,(y \ z) / z). K(x,(y \ z) / z) = K(x,y \ 1). K(x,((y \ z) / z) \ 1) = K(x,y). K(x,1 / (K(y,z) / u)) = K(x,u * K(z,y)). K(x,R(y / z,z,u) \ 1) != w | K(x,(z * u) / (y * u)) = w. (x * K(y,x)) * K(x,z) = T(x,z) * K(y,x). x * y != (z \ x) * T((z \ x) \ x,u) | T(K(z,u),x) = y. (x \ y) * T((x \ y) \ y,z) != y * u | T(K(x,z),y) = u. x != K(y \ 1,z) * y | x = y * K(y \ 1,z). (x \ 1) \ K(x \ y,x) = x * K(x \ 1,y). K(x \ y,x) * (x \ z) != u | u = ((x \ y) \ y) \ z. K(x \ y,x) * (x \ z) != u | ((x \ y) \ y) \ z = u. ((T(x,y) \ 1) * x) * T((x \ 1) \ 1,z) = K(y,x) * T(x,z). x * (K(y,y \ 1) * ((T(y,x) \ 1) * y)) = T(x,y). 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. (x * y) \ (y * T(x * K(z,x),y)) = L(K(z,T(x,y)),T(x,y),y). T(x,y) * K(z,T(x,x * (y / x))) = T(x * K(z,x),x * (y / x)). T(x * K(T(x,y) \ z,x),y) \ z = z / T(x,y). T(R(x,y,x),z) / T(T(x,y),z) = K(x * y,T(T(x,y),z)). T(T(x * K(y,x),z),u) / T(T(x,z),u) = K(y,T(T(x,z),u)). T(x,y) * K(z,T(x,y)) != u | u = T(x * K(z,x),y). T(x,y) * K(z,T(x,y)) != u | T(x * K(z,x),y) = u. T(x,y) \ T(x * K(x * z,x),y) = K(z * x,T(x,y)). K(x,y) * T(x,z) != x * u | K(x,y) * K(x,z) = u. T(x,T(T(x,y) * y,z)) = K(T(x * y,z),x) \ x. (x \ y) / (x \ T(y,x \ 1)) = K(x \ 1,y). (x * K((x / y) \ 1,x)) / ((x \ y) * x) = x / y. (x \ K(x,y)) \ 1 = (x \ 1) \ K(y,x). T(T(x,y) * z,K(x,y)) != u | (x * z) * K(x,y) = 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). R(K(R(x,y,z),u),R(x,y,z),y * z) = (R(T(x,u),y,z) * (y * z)) / ((x * y) * z). (R(T(x,y),z,u) * (z * u)) / ((x * z) * u) = R(K(R(x,z,u),y),R(x,z,u),z * u). x != (y * z) / y | x = z * K(y,z). R(x * K(y,x),y,x) = x * K(y * x,x). ((x * K(y,x)) * y) / L(x,y,x * K(y * x,x)) = (R(x * K(y,x),y,x) * y) / x. R(x * K(y,x),y,x) = x * K(x * y,x). R(T(x * K(y,x),z),y,x) = T(x * K(x * y,x),z). R(K(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). K(R(x,y,z) \ 1,u) * (y * z) = (K(x \ 1,u) * y) * 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(x \ 1,z,u) \ 1). K(x,R(y \ 1,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. T(R(K(x,y),z,u),w) \ 1 = T(K(y,R(x \ 1,z,u) \ 1),w). T(K(x,R(y \ 1,z,u) \ 1),w) = T(R(K(y,x),z,u),w) \ 1. L(K(x \ 1,y),z,u) = K(L(x,z,u) \ 1,y). L(K(1 / x,y),z,u) = K(L(x,z,u) \ 1,y). x != L(K(y \ 1,y),z,u) | x = K(y \ 1,y). K(L(x,y,z) \ 1,x) = K(x \ 1,x). (x * y) * K(L(z,y,x) \ 1,u) = x * (y * K(z \ 1,u)). 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(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(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 != 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). x != K(y \ 1,z) | x = K(1 / y,z). L(K(1 / x,y),z,u) = K(1 / L(x,z,u),y). 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. (x * K(L(y \ 1,z,u) \ 1,w)) \ x = L(K(y,w),z,u) \ 1. L(K(1 / x,y),z,u) != w | K(L(x,z,u) \ 1,y) = w. x != (y * z) * T((y * z) \ (u * z),w) | x = (y * T(y \ u,w)) * z. (x * y) * K(y \ 1,z) = ((x * y) * T((x * y) \ x,z)) * y. ((x * y) * T((x * y) \ x,z)) * y = (x * y) * K(y \ 1,z). K(x,y) * ((1 / x) \ z) = z * T(z \ ((1 / x) \ z),y). (x * y) \ (K(x \ 1,z) * y) = T((x * y) \ y,z). ((1 / x) * y) * T(((1 / x) * y) \ y,z) = K(x,z) * y. x * (y \ T(y * (x \ (y \ 1)),z)) = K(x \ 1,z) * (y \ 1). K(x \ y,T((x \ y) * x,z)) = K(x \ y,T(y,T(z,y))). T((x \ 1) \ K(x \ y,x),y * x) = y \ (y * x). K(x \ y,T(y,z)) = K(y / x,T(y,z)). K(x / y,T(x,z)) = K(y \ x,T(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,y * K(z,y \ 1)) = T(K(x,y),z). K(x,y * K(y * z,y \ 1)) = T(K(x,y),z * y). x * K(y,(x \ z) \ 1) = K(y,(z / x) \ 1) * x. K(x,(y / z) \ 1) * z = z * K(x,(z \ y) \ 1). x * K(y,x \ (z \ x)) = K(y,z \ 1) * x. x * K(y,x \ z) = K(y,(x / z) \ 1) * x. K(x,(y / z) \ 1) * y = y * K(x,y \ z). x != y * ((z * u) / z) | x = y * (u * K(z,u)). x * K(y,(x \ z) \ 1) = z * ((z \ x) * K(y,z \ x)). x * ((x \ y) * K(z,x \ y)) = y * K(z,(y \ x) \ 1). (((x \ y) \ 1) \ x) * ((x \ y) \ 1) = x * K(y,(x \ y) \ 1). x * (y * K((y \ (x \ 1)) \ 1,z)) = T(x * y,z). x != K(y,z) \ z | x = T(z,y). T(x,T(T(x,y) * y,z)) = T(x,T(x * y,z)). R(T(x,T(x * y,z)),u,w) / R(x,u,w) = K(R(x,u,w),T(T(x,y) * y,z)). K(R(x,y,z),T(T(x,u) * u,w)) = R(T(x,T(x * u,w)),y,z) / R(x,y,z). (x * K(x \ y,x)) / ((x \ y) * x) = x / y. (x / (x / y)) / ((y \ x) * y) = y / x. (x / y) \ (y / (y / x)) = (x \ y) * x. L(x,K(L(y \ 1,z,u) \ 1,w),L(K(y,w),z,u) \ 1) = x. (x * y) * T((x * y) \ y,z) != u | u = K(x \ 1,z) * y. (x * y) * T((x * y) \ y,z) != u | K(x \ 1,z) * y = u. T(x * K(x \ 1,y),y * x) = y \ (y * x). T(x * K(x \ 1,y),y * x) = x. (x * K(x \ 1,y)) / x != z | K(y * x,x * K(x \ 1,y)) = z. 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 / z) * y = y * K(x,(y \ z) \ 1). x * K(y,(x \ z) \ 1) = K(y,x / z) * x. T(K(x,y / z),y) = K(x,(y \ z) \ 1). K(x,y) * (z * K((z \ K(y,x)) \ 1,u)) = T(K(x,y) * z,u). 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)). L(T(x,y) \ 1,x,y) = (x * y) \ y. x != L(T(y,z) \ 1,y,z) | x = (z * y) \ T(z,y). (x * y) \ y = (y * x) \ T(y,x). (x * y) \ T(x,y) = (y * x) \ x. a(1 / (x * y),x,y) \ T((1 / (x * y)) * x,y) = (y * ((1 / (x * y)) * x)) \ ((1 / (x * y)) * x). L(x * K(y,x),z,u) / L(x,z,u) != w | K(y,L(x,z,u)) = w. L(x * K(y,x),z,u) \ L(x,z,u) != w | K(L(x,z,u),y) = w. R(x * K(y,x),z,u) \ R(x,z,u) != w | K(R(x,z,u),y) = w. R(x,y,z) / R(x * K(x * u,x),y,z) = K(R(x,y,z),T(x,u) * u). K(R(x,y,z),T(x,u) * u) = R(x,y,z) / R(x * K(x * u,x),y,z). T(x,x \ y) \ z != u | ((x \ y) \ y) \ z = u. T(x,x \ y) \ R(T(z,z \ u),w,v5) != v6 | ((x \ y) \ y) \ R((z \ u) \ u,w,v5) = v6. T((x * y) / x,z) != u | T(y * K(x,y),z) = u. L(K(x \ 1,y),z,u) != w | K(L(x,z,u) \ 1,y) = w. T(x * K(T(x,y) \ y,x),y) = y / (T(y,x) / x). T(x * K(x \ y,x),y) = y / (T(y,x) / x). x != T(y * K(y \ z,y),z) | x = L(y,y \ z,y). x / (T(x,y) / y) = L(y,y \ x,y). L(x,x \ y,x) = y / (T(y,x) / x). T(x / (x / y),x) = x / (T(x,y) / y). T((x \ L(y,y \ z,y)) * x,T(z,y) / y) = (x \ ((T(z,y) / y) \ z)) * x. T(x / (x / y),x) = x / (x / T(y,x)). x / (x / T(y,x)) = T(x / (x / y),x). T(x / (x / y),x) \ x = x / T(y,x). x * (x / (x / T(y,x))) = y * ((y \ x) * y). x != y * ((y \ z) * y) | x = ((y \ z) * y) * T(y,z). x * (x / (x / T(y,x))) = ((y \ x) * y) * T(y,x). ((x \ y) * x) * T(x,y) = y * (y / (y / T(x,y))). (x \ T(y,x)) * T(x,y) = (x \ y) * x. (x \ 1) * (K(x,y) * ((x \ 1) \ z)) = K((x \ 1) \ 1,y) * z. T(x * K(x * y,x),z) * y = y * R(T(x,z),y,x). x * y != x * R(T(z,u),x,z) | T(T(z * K(z * x,z),u),x) = y. T(T(x * K(x * y,x),z),y) = R(T(x,z),y,x). T(T(x * K(y * x,x),z),y) = R(T(x,z),y,x). 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) \ x) \ 1) \ K(y,y \ 1) != z | z = (x * y) \ x. (((x * y) \ x) \ 1) \ K(y,y \ 1) != z | (x * y) \ x = z. (x \ R(y,z,u)) * K(((x \ R(y,z,u)) \ (x \ 1)) \ 1,w) = x \ R(T(y,w),z,u). (x * y) * K(z,y \ 1) = ((x * y) * ((z * ((x * y) \ x)) / z)) * y. ((x * y) * ((z * ((x * y) \ x)) / z)) * y = (x * y) * K(z,y \ 1). (x * K(y,z \ 1)) * y = (x * z) * (y * (L(z \ y,z,x) / y)). (x * y) * (z * (L(y \ z,y,x) / z)) = (x * K(z,y \ 1)) * z. (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = (K(x,y \ 1) * z) * u. x / (y * (((z \ ((y \ x) * u)) * z) / u)) = K(z,x / (y * (z / u))). ((x * y) * z) / (x * (z * T(z \ (x \ ((x * y) * z)),u))) = K(u,R(y * K(x,y),x,z)). K(x,y) * ((y \ ((x \ 1) \ y)) \ z) = (((x \ 1) \ y) / 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)). 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. (L(x,y,z) \ x) * K(x \ 1,x) = (L(x,y,z) \ 1) * x. (1 / x) * (K(x,y) * ((1 / x) \ z)) = K((1 / x) \ 1,y) * z. L(K(x,y \ z),y \ z,y) = K(x,(z \ 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. ((L(x,y,z) \ 1) * x) * (1 / x) = (L(x,y,z) \ x) * (x \ 1). T(x \ y,z) * (y \ (x * K(z,x \ y))) = T((x \ y) * (y \ (x * 1)),z). (x * y) \ (y * (T(x,y) * z)) = L(z,x,y * K(x,y)). L(x,T(y,z),z) = L(x,y,z * K(y,z)). L(x,y,z * K(y,z)) = L(x,T(y,z),z). L(x,y,z * K(y,z)) != u | L(x,T(y,z),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). (x * K((x \ y) \ 1,z)) * (x \ 1) = K((y * (x \ 1)) \ 1,z). R(K(x \ 1,y),z,u) != w | K(R(x,z,u) \ 1,y) = w. R(T(x,y),z,x) / T(T(x,z),y) = K(x * z,T(T(x,z),y)). (K(x \ 1,y) * z) * u != w * (z * u) | K(R(x,z,u) \ 1,y) = w. K(((x * y) / (z * y)) \ 1,u) * (z * y) = (K((x / z) \ 1,u) * z) * y. x * (y * K(z \ 1,u)) != (x * y) * w | K(L(z,y,x) \ 1,u) = w. (x * y) * z != x * (y * K(u \ 1,w)) | K(L(u,y,x) \ 1,w) = z. (x * y) * K(((x * y) \ z) \ 1,u) = x * (y * K((y \ (x \ z)) \ 1,u)). L(x,L(K(y,z),u,w),L(K(y,z),u,w) \ 1) = x. x * y != L(z,L(K(u,w),v5,v6),L(K(u,w),v5,v6) \ 1) | z / y = x. x / (L(K(y,z),u,w) * x) = 1 / L(K(y,z),u,w). x != 1 / L(K(y,z),u,w) | x = L(K(y,z),u,w) \ 1. x / (L(K(y,z),u,w) * x) = L(K(y,z),u,w) \ 1. (L(K(x,y),z,u) \ 1) \ w = L(K(x,y),z,u) * w. x * (y * T(y \ (x \ y),z)) != u | K(x \ 1,z) * y = u. R(T(x,y) * K(T(y * L(x,z,u),T(x,y)),T(x,y)),w,v5) * (((x * y) * L(x,z,u)) / T(x,y)) = (((x * y) * L(x,z,u)) / T(x,y)) * R(T(x,y),w,v5). (x * y) \ T(y * x,z) = T(y * x,z) / (x * y). T(x * y,z) / (y * x) = (y * x) \ T(x * y,z). ((x * y) \ T(y * x,z)) * (x * y) = T(y * x,z). ((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. T(T(x * K(y * T(x,z),x),u),y) = R(T(y \ (y * x),u),y,T(x,z)). x != ((1 / y) \ z) * (1 / y) | x = ((y \ 1) \ z) * (y \ 1). T(x,x \ y) / (y \ x) = (((y \ x) \ 1) \ y) * ((y \ x) \ 1). (T(x,y) * y) / ((T(x,y) * y) / x) = x * K(y,x). (x * (y \ T(y * z,u))) / (x * z) = K((x * z) / (x * (y \ 1)),u). (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). R(T(x,y),z,x) / T(T(x,y),z) = K(z * x,T(T(x,y),z)). T(K(x,R(y \ 1,z,u) \ 1),w) = R(T(K(y,x),w),z,u) \ 1. (x * L(K(y,z),u,w)) \ x = L(K(y,z),u,w) \ 1. (x * K(y \ 1,z)) * y = (x * y) * K(y \ 1,z). x * y != (z * x) * K(x \ 1,u) | T(z * K(x \ 1,u),x) = y. T(x * K(y \ 1,z),y) = y \ ((x * y) * K(y \ 1,z)). x \ ((y * x) * K(x \ 1,z)) = T(y * K(x \ 1,z),x). (x * K(y \ 1,z)) / y = (x / y) * K(y \ 1,z). T((x / y) * K(y \ 1,z),y) != u | y \ (x * K(y \ 1,z)) = u. x != T(y * K(z \ 1,z),z) | x = z * (T((z \ 1) \ 1,y) \ y). x \ ((y * x) * K(x \ 1,x)) = x * (T((x \ 1) \ 1,y) \ y). K(x,y) * (K(y,x) * T(K(y,x) \ z,u)) = T(K(x,y) * z,u). 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)). (x \ 1) * (K(x,y) * ((x \ 1) \ z)) = K(x,y) * z. (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) | (K(z,u) * ((1 / z) * w)) / y = x. (K(x,y) * ((1 / x) * z)) / (K(x,y) * z) = 1 / x. 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). K((x * ((1 / y) \ 1)) \ 1,z) / y = (1 / y) * K(((1 / y) \ x) \ 1,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. T(R(K(x,y),z,u) \ 1,w) = R(T(K(x,y),w),z,u) \ 1. R(T(K(x,y),z),u,w) \ 1 = T(R(K(x,y),u,w) \ 1,z). x \ (y * (1 / (1 / x))) = x * (T((x \ 1) \ 1,y) \ y). x * (T((x \ 1) \ 1,y) \ y) = x \ (y * (1 / (1 / x))). K(x \ 1,x) * T(y,z) = T(K(x \ 1,x) * y,z). T(K(x \ 1,x) * y,z) = K(x \ 1,x) * T(y,z). T(x * K(y \ 1,y),z) = K(y \ 1,y) * T(x,z). T(K(x,y) * K(z \ 1,z),x) = K(z \ 1,z) * K(x,y). T((T(x,y) \ 1) * x,y) = K(x \ 1,x) * K(y,x). x != K(y \ 1,y) * K(z,y) | x = (T(y,z) \ 1) * y. T((T(x,y) \ 1) * x,y) = (T(x,y) \ 1) * x. T(K(x,y) * (z * K(y,x)),u) != K(x,y) * w | T(z,u) * K(y,x) = w. R(x \ y,(y / x) \ x,x \ y) = ((y / x) \ x) \ x. K(x,R(y,z,u)) * ((y * z) * u) = R(y * K(x,y),z,u) * (z * u). R(x * K(y,x),z,u) * (z * u) = K(y,R(x,z,u)) * ((x * z) * u). (x * y) \ ((x * K(z,x)) * y) = L(K(z,T(x,y)),T(x,y),y). L(K(x,T(y,z)),T(y,z),z) = (y * z) \ ((y * K(x,y)) * z). x != (y * z) \ ((y * K(u,y)) * z) | x = R(T(K(u,y),y * z),y,z). L(K(x,T(y,z)),T(y,z),z) = R(T(K(x,y),y * z),y,z). R(T(K(x,y),y * z),y,z) = L(K(x,T(y,z)),T(y,z),z). 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. x != (y \ z) \ (y \ 1) | x = (z \ y) * (y \ 1). L(x,y,z) \ 1 = (L(x,y,z) \ x) * (x \ 1). (L(x,y,z) \ x) * (x \ 1) = L(x,y,z) \ 1. x * y != (z \ L(z,u,w)) \ (z \ 1) | x \ (L(z,u,w) \ 1) = y. (L(x,y,z) \ x) \ (L(x,y,z) \ 1) = x \ 1. (L(1 / x,y,z) \ 1) / x = L(1 / x,y,z) \ (1 / x). 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). 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). a(x,y,z) \ K(a(x,y,z),z \ L(z,y,x)) = 1 / a(x,y,z). x != (y \ z) * T((y \ z) \ T(z,y),u) | x = y \ (z * T(y,u)). T(x * K(y,x),z) * (x \ y) = x \ (y * T(x,z)). T(T(x,y) * K(x * y,T(x,y)),z) * (T(x,y) \ (x * y)) = T(x,y) \ ((T(x,z) * y) * T(x,y)). (K(x,y) * (((1 / x) * z) * T(((1 / x) * z) \ z,u))) / (K(x,y) * z) = K((1 / x) \ 1,u). ((x \ y) / y) \ K(x \ 1,x) = 1 / ((x \ y) / y). (((x \ 1) \ y) / y) \ K(x,x \ 1) = 1 / (((x \ 1) \ y) / y). T(x,y) * K(z,T(x,y)) = T(x * K(z,x),x * (y / x)). T(x * K(y,x),x * (z / x)) = T(x,z) * K(y,T(x,z)). x != T(y,z) * K(u,T(y,z)) | x = T(y * K(u,y),z). T(x * K(y,x),x * (z / x)) = T(x * K(y,x),z). T(x * K(y,x),T(x * z,u)) = T(x * K(y,x),T(z * x,u)). T(x * K(y,x),T(z * x,u)) = T(x * K(y,x),T(x * z,u)). (x * K(y,z \ 1)) * z = (x * z) * K(y,z \ 1). (x * K(y,(z \ 1) \ 1)) * (z \ 1) = (x * (z \ 1)) * K(y,z). (x * K(y,z)) * (z \ 1) = (x * (z \ 1)) * K(y,z). 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 * K(y,x)) * z) * u = K(y,R(x,z,u)) * ((x * z) * u). K(x,R(y,z,u)) * ((y * z) * u) = ((y * K(x,y)) * z) * u. K(x,R(y,z,u)) * ((y * z) * u) = (y * (K(x,y) * z)) * u. (x * y) \ (x * ((y * z) * K(u \ 1,u))) = L(z,y,x) * K(u \ 1,u). (x * y) \ (x * ((y * z) * K(u,u \ 1))) = K(u,u \ 1) * L(z,y,x). ((x \ (y * (z \ 1))) * x) / (z \ 1) = z * ((x \ (z \ y)) * x). x / (y * ((z \ (y \ x)) * z)) = K(z,x / (z / (y \ 1))). x / (y * (z * ((u \ (z \ (y \ x))) * u))) = K(u,x / (y * (u / (z \ 1)))). R(x * K(y,x),y,L(x,z,u)) = x * K(y * L(x,z,u),x). 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(T(x * K(y * L(x,z,u),x),w),y) = R(T(y \ (y * x),w),y,L(x,z,u)). T(x,y) * K(y * L(x,z,u),T(x,y)) = R(x,y,L(x,z,u)). T(R(x,y,z) * K(u * R(1 / (1 / x),y,z),R(x,y,z)),u) = R(R(x,y,z),u,L(R(x,y,z),x \ 1,x)). T(T(x * K(y * L(T(x,z),u,w),x),z),y) = R(T(x,z),y,L(T(x,z),u,w)). (x * (y * K(z * L(y,u,w),y))) / (y * K(z,y)) = (x / (y * K(z,y))) * R(y * K(z,y),z,L(y,u,w)). (x / (y * K(z,y))) * R(y * K(z,y),z,L(y,u,w)) = (x * (y * K(z * L(y,u,w),y))) / (y * K(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)). (x * y) * (z \ T(z * L(y \ (z \ 1),y,x),u)) = (x * K(y \ 1,u)) * (z \ 1). L(L(x * K(y,x),z,u),w,v5) * y = y * L(L(x,w,v5),z,u). x != R(y,z,u) / R(y * K(w,y),z,u) | x = K(R(y,z,u),w). K(R(x,y,z),T(x,u) * u) = K(R(x,y,z),x * u). T(T(x * K(y * T(x,z),x),u),y) = R(T(x,u),y,T(x,z)). (x * y) \ (x * (y * (z * K(u \ 1,u)))) = L(z,y,x) * K(u \ 1,u). (x * y) \ (x * (y * (z * K(u,u \ 1)))) = K(u,u \ 1) * L(z,y,x). L(x * K(y \ 1,y),z,u) = L(x,z,u) * K(y \ 1,y). K(x \ 1,L(x,y,z)) = K(x \ 1,x). x != y * K(z \ 1,z) | x = K(z \ 1,z) * y. L(x * K(y \ 1,y),z,u) = K(y \ 1,y) * L(x,z,u). (x * y) * K(z \ 1,L(z,u,w)) = x * (y * K(z \ 1,z)). L(K(x \ 1,x) * y,z,u) = K(x \ 1,x) * L(y,z,u). (x * y) * K(z \ 1,L(z,u,w)) = x * (y * K(z \ 1,L(z,v5,v6))). K(L(x,y,z) \ 1,L(x,u,w)) = K(x \ 1,L(x,v5,v6)). K(x \ 1,L(x,y,z)) * (u / L(x,w,v5)) = u / ((L(x,w,v5) \ 1) \ 1). K(x \ 1,L(x,y,z)) * (x / L(x,u,w)) = x * T(L(x,u,w) \ 1,x). K(L(x,y,z) \ 1,L(x,u,w)) * K(L(x,v5,v6),x \ 1) = 1. K(L(x,y,z),L(x,u,w) \ 1) = K(L(x,v5,v6),x \ 1). x * y != K(L(z,u,w),L(z,v5,v6) \ 1) | x \ K(L(z,v7,v8),z \ 1) = y. L(x,y,z) \ K(L(x,u,w),x \ 1) = 1 / L(x,y,z). 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)). L(x * K(y,y \ 1),z,u) = K(y,y \ 1) * L(x,z,u). L(x * K(y,y \ 1),z,u) = L(x,z,u) * K(y,y \ 1). 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 \ 1) * L(((1 / x) \ y) * K(x,x \ 1),z,u) = L(y * x,z,u) / x. x * L(y,z,u) != L(T(y,w),z,u) | x = K(L(y,z,u),w). K(x,x \ 1) = K(L(x,y,z),x \ 1). K(L(x,y,z),x \ 1) = K(x,x \ 1). (x * y) * K(L(z,u,w),z \ 1) = x * (y * K(z,z \ 1)). K(x,L(x \ 1,y,z)) = K(x,x \ 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(x * K(y \ z,(y \ z) \ 1),u,w) = L(x,u,w) * K(y \ z,z \ y). L(x,y,z) \ K(x,L(x \ 1,u,w)) = 1 / L(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 != 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. K(L(x,y,z) \ 1,(x \ 1) \ 1) = K(L(x \ 1,u,w),(x \ 1) \ 1). K(L(x \ 1,y,z),(x \ 1) \ 1) = K(L(x,u,w) \ 1,(x \ 1) \ 1). K(L(x \ 1,y,z),(x \ 1) \ 1) = K(L(x,u,w) \ 1,x). K(L(x,y,z) \ 1,x) = K(L(x \ 1,u,w),x). K(L(x \ 1,y,z),x) = K(L(x,u,w) \ 1,x). K(L(x \ 1,y,z),x) \ 1 = K(x,L(x,u,w) \ 1). K(x,L(x,y,z) \ 1) = K(L(x \ 1,u,w),x) \ 1. K(x,L(x,y,z) \ 1) = K(x,L(x \ 1,u,w)). K(x,L(x \ 1,y,z)) = K(x,L(x,u,w) \ 1). L(x,y,z) \ K(x,L(x,u,w) \ 1) = 1 / L(x,y,z). x != L(y,z,u) \ K(y,L(y,z,u) \ 1) | x = (L(y,z,u) \ y) / y. 1 / L(x,y,z) = (L(x,y,z) \ x) / x. (L(x,y,z) \ x) / x = 1 / L(x,y,z). (1 / L(x,y,z)) * x = L(x,y,z) \ x. x / L(x,y,z) = L(x,y,z) \ x. (L(x,y,z) \ x) * L(x,y,z) = x. (L(x,y,z) \ x) \ x = L(x,y,z). K(x \ 1,L(x,y,z)) * (u / L(x,w,v5)) = u / L((x \ 1) \ 1,w,v5). K(x \ 1,L(x,y,z)) * (x / L(x,u,w)) != v5 | (L(x,u,w) \ 1) * x = v5. ((x \ (y * T(x,z))) * x) / T(x,z) = K(z,x) * T(K(z,x) \ y,x). (K(x,y) * T(K(x,y) \ z,y)) * T(y,x) = (y \ (z * T(y,x))) * y. (x \ (y * T(x,z))) * x != u * T(x,z) | K(z,x) * T(K(z,x) \ y,x) = u. 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)). (T(x,y) * z) \ (T(x,y) * (z * u)) = L(L(u,z,x),x * z,K(x,y)). L(L(x,y,z),z * y,K(z,u)) = (T(z,u) * y) \ (T(z,u) * (y * x)). L(L(x,y,z),z * y,K(z,u)) != w | L(x,y,T(z,u)) = w. T(x \ y,z) * (y \ (x * K(z,x \ y))) = T((x \ y) * (y \ x),z). x != K((y / z) \ 1,u) * z | x = z * K((z \ y) \ 1,u). (K((x / y) \ 1,z) * y) * u = (y * u) * K(((y * u) \ (x * u)) \ 1,z). (x * y) * K(((x * y) \ (z * y)) \ 1,u) = (K((z / x) \ 1,u) * x) * y. 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. x / L((y \ ((z \ 1) \ (z \ x))) * y,z \ 1,z) = K(y,x / (z * (y / ((z \ 1) \ 1)))). (x \ 1) * L((x \ 1) \ y,z,u) = L(y * x,z,u) / x. x != (y \ 1) * L((y \ 1) \ z,u,w) | x = y \ L(y * z,u,w). L(x * y,z,u) / y = y \ L(y * x,z,u). (x \ L(x * y,z,u)) * x = L(y * x,z,u). L(x,y,z) / u = u \ L(u * (x / u),y,z). x \ L(x * (y / x),z,u) = 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 * (L(y,z,u) / x) = L(x * (y / x),z,u). L(x * (y / x),z,u) = x * (L(y,z,u) / x). L(T((x \ y) * x,z),u,w) = T((x \ L(y,u,w)) * x,z). L((x \ ((y \ 1) \ z)) * x,y \ 1,y) = (x \ (y * z)) * x. K(x,L(x * (y / x),z,u)) = K(x,L(y,z,u)). (x * y) * L(z * ((y \ z) / z),y,x) = (x * K(z,y \ 1)) * z. L((x \ ((y \ 1) \ (y \ z))) * x,y \ 1,y) = (x \ z) * x. x / L((y \ ((z \ 1) \ (z \ x))) * y,z \ 1,z) = K(y,y \ x). x * (y * (z * ((y \ z) / z))) = (x * K(z,y \ 1)) * z. x * T(y,z \ 1) = (x * K(y,z \ 1)) * y. (x * K(y,z \ 1)) * y = x * T(y,z \ 1). (x * K(y,z)) * y = x * T(y,(z \ 1) \ 1). (x * K(y,z)) * y = x * T(y,z). x * T(y * K(x,z),x) = y * T(x,z). x != K(y,z) * T(z,u) | x = T(z,u) * K(y,z). (K(x,y) * K(y,z)) * y = T(y,z) * K(x,y). (x * K(y,z)) \ (x * T(y,z)) = y. x * T(y,z) != (y * z) * T(T(y,z),u) | x = T(y,u) * z. (x * y) * K(T(x,y),z) = T(x,z) * y. x * y != (z * y) * T(y,u) | x = z * T(y,u). (x * y) * K(y,z) = x * T(y,z). x * y != z * T(y,u) | x = (z / y) * T(y,u). x * K(y,z) = (x / y) * T(y,z). (x / y) * T(y,z) = x * K(y,z). 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)). x \ (y * T(x,z)) != u | T(y * K(x,z),x) = u. x * y = (x * K(z,y)) * T(y,z). (x * K(y,z)) * T(z,y) = 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). L(x,K(x,y),z) = x. x != L(y * K(z,y),K(y * K(z,y),z),u) | x = (u * K(y,z)) \ (u * y). x * K(y,x) = (z * K(x,y)) \ (z * x). (x * K(y,z)) \ (x * y) = y * K(z,y). R(x,y,K(y,z)) = x. (x * y) / K(z,y) = x * T(y,z). (x * T(y,z)) * K(z,y) = x * y. (x / y) \ (x * K(y,z)) = T(y,z). x * K(y \ x,z) = y * T(y \ x,z). x * T(x \ y,z) = y * K(x \ y,z). x != K(y,y \ 1) * T(z,u) | x = T(K(y,y \ 1) * z,u). (K(x,x \ 1) * y) * K(y,z) = T(K(x,x \ 1) * y,z). ((x / T(y,z)) * y) \ x = K(y,z). x * y != z * T(u,w) | x \ ((z * u) * K(u,w)) = y. (x * K(y,z)) \ ((x * y) * K(y,z)) = y. (x * y) * K(y,z) != x * u | T(y,z) = u. K(x,y) \ (z * T(x,y)) != u | T(z * x,K(x,y)) = u. x != (T(y,y \ T(z,u)) / z) * T(z,u) | x = (y / z) * T(y * (z / y),u). T(x,x \ T(y,z)) * K(y,z) = (x / y) * T(x * (y / x),z). x * K(y \ x,z) != u | y * T(y \ x,z) = u. (x / y) \ T(x * K(y,z),(x / y) \ 1) = (((x / y) \ 1) \ T(y,z)) * ((x / y) \ 1). (x / T(y,z)) * y = x * K(z,y). x / y = (x / T(y,z)) / K(z,y). (x / T(y,z)) / K(z,y) = x / y. x / T(y,z) = (x / y) * K(z,y). (x / y) * K(z,y) = x / T(y,z). x * y != K(z,u) * (u * z) | x \ (z * u) = y. (K(x,y) * K(z,y * x)) \ (x * y) = T(y * x,z). x * T(y,z) != (y \ z) * y | x = y \ T(z,y). (x \ y) * K(y,x) = x \ T(y,x). (x * T(y,z)) * T(z,y) = (x * y) * z. (x * T(x \ y,z)) \ y = K(z,x \ y). (x * T(y * K(z,y),u)) / K(z,T(y * K(z,y),u)) = x * T(y,u). (x * y) * K(y,z) != u | u = x * T(y,z). (x * y) * K(y,z) != u | x * T(y,z) = u. (x * y) * K(z,y) = (x * K(z,y)) * y. (x * K(y,z)) * z = (x * z) * K(y,z). ((x / y) \ T(x * K(y,z),(x / y) \ 1)) / T(y,z) = K(x * K(y,z),(x / y) \ 1). T(x,y) / ((z / x) \ T(z * K(x,y),(z / x) \ 1)) = K((z / x) \ 1,z * K(x,y)). (x / y) * K(z,y) != u | u = x / T(y,z). (x / y) * K(z,y) != u | x / T(y,z) = u. (x / y) * K(x,y) != z | T(x,y) / y = z. x * K(y * x,y) = y \ T(y * x,y). x \ T(x * y,x) = y * K(x * y,x). x * y != K(z \ 1,z) * T(u,w) | x \ T(u * K(z \ 1,z),w) = y. x \ T(x * K(y \ 1,y),z) = T(K(y \ 1,y) * K(x,z),x). x * T(y,z) != u | (x * K(y,z)) * y = u. (x * K(y,z)) * (y * K(z,y)) = x * y. x / (y * K(z,y)) = (x / y) * K(y,z). T(K(x,y),z) = K((x \ z) \ z,y). K((x \ y) \ y,z) = T(K(x,z),y). K((x \ y) \ 1,z) = K(y \ x,z). T(K(x / y,z),x) = K(y \ x,z). x \ T(x * y,z) = y * K((x \ 1) \ y,z). (x \ y) * K((x \ 1) \ (x \ y),z) = x \ T(y,z). 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 * T(z \ x,x)) * y) = R(T(K(z \ x,x),x * y),x,y). R(T(K(x \ y,y),y * z),y,z) = (y * z) \ ((x * T(x \ y,y)) * z). K(T(x,x \ y),z) = T(K(x,z),y). K(T(x,y),z) = T(K(x,z),y * x). T(K(x,y),z * x) = K(T(x,z),y). K(((x * y) \ x) \ 1,z) = K(y,z). K(T(x,y) \ 1,z) = K((x * y) \ y,z). K(L(x \ y,x,z) \ 1,u) = K((z * y) \ (z * x),u). K(x \ y,z) \ 1 = K(z,(y \ x) \ 1). K(x,(y \ z) \ 1) = K(z \ y,x) \ 1. K(x \ y,z) \ z != u | T(z,(y \ x) \ 1) = u. 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). (1 / x) * K(y \ (1 / x),z) = K((y * x) \ 1,z) / x. 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,y) = R(T(x,y * K(x,z)),y,K(x,z)). R(T(x,y * K(x,z)),y,K(x,z)) = T(x,y). x * y != (z * T(u,w)) * T(w,u) | ((z * u) * w) / y = x. ((x * y) * z) / (y * z) = R(x,T(y,z),T(z,y)). (x \ T(x * y,z)) \ y = K(z,(x \ 1) \ y). (x \ T(y,z)) \ (x \ y) = K(z,(x \ 1) \ (x \ y)). K(x,(y \ 1) \ (y \ z)) = (y \ T(z,x)) \ (y \ z). ((x * T(x \ y,z)) * u) \ (y * u) = K(z,(x * u) \ (y * u)). K(x,y) * z != (u * K(x,y)) * y | T(u * y,K(x,y)) = z. x != y \ T(y * z,y) | x = T(y * z,y) / T(y,z). x * K(y * x,y) = T(y * x,y) / T(y,x). T(x * y,x) / T(x,y) = y * K(x * y,x). x * (y * K(x * y,x)) = T(x * y,x). (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,x \ ((y \ 1) \ x)) = T(x,y) * K((x \ ((y \ 1) \ x)) * T(x,y),x \ ((y \ 1) \ x)). T(x,y) * K((x \ ((y \ 1) \ x)) * T(x,y),x \ ((y \ 1) \ x)) = (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,x \ ((y \ 1) \ x)). x * (y * K(z,y)) = (x * K(z,y)) * y. (x * K(y,z)) * z = x * (z * K(y,z)). x / (y / z) = (x / (z \ y)) * K(z \ y,z). (x / (y \ z)) * K(y \ z,y) = x / (z / y). K((x * y) \ y,T(x,z)) = K(x \ 1,x). K(x \ (y \ x),z) = K((y * x) \ x,z). K((x * y) \ y,z) = K(y \ (x \ y),z). K(x,(y \ z) \ 1) = K(x,z \ y). K(x,(y \ z) \ 1) != u | K(x,z \ y) = u. 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,y \ 1) = K(x,(z * y) \ z). K(x,(y * z) \ y) = K(x,z \ 1). K(x,((y * z) \ y) \ 1) = K(x,z). K(x,(T(y,z) * (y \ u)) \ 1) = K(x,(T(y,z) * u) \ y). T(x \ y,K(z,y \ x)) = x \ y. K(x,(K(y,z) * u) \ 1) = K(x,u \ K(z,y)). x * K(y,z \ x) = z * ((y * (z \ x)) / y). K(x,(y / z) \ 1) * z = z * K(x,y \ z). x * K(y,z \ x) = K(y,x / z) * x. K(x,y / z) * y = y * K(x,z \ y). (((x \ y) \ 1) \ x) * ((x \ y) \ 1) = x * K(y,y \ x). T(K(x,y),z) = K(x,(y \ z) \ z). K(x,(y \ z) \ z) = T(K(x,y),z). K(x,y \ z) * (z \ y) = (z \ y) * K(x,y \ z). K(x,T(y,y \ z)) = T(K(x,y),z). K(x,T(y,z)) = T(K(x,y),z * y). T(K(x,y),z * y) = K(x,T(y,z)). K(x,T(y,z)) = T(K(x,y),y * z). T(K(x,y),y * z) = K(x,T(y,z)). K(x * y,T(y,x)) != z | K(x * y,y) = z. (x * y) * K(z,T(x,y)) = K(z,x) * (x * y). K(x,y) * K(y,T(x,z)) = K(x * z,K(x,y)). (x * K(y,z)) \ (x * (z * K(y,z))) = z. x != (y * K(z,u)) * u | x = (y * u) * K(z,u). x * (y * K(z,y)) = (x * y) * K(z,y). (x * y) * K(z,y) = x * (y * K(z,y)). x * y != (z * K(u,w)) * w | (z * (w * K(u,w))) / y = x. (x * (y * K(z,y))) / (y * K(u,y)) = (x * K(z,y)) * K(y,u). K(((x * y) * z) \ (y * z),T(R(x,y,z),u)) = K(R(x,y,z) \ 1,R(x,y,z)). T(x,(y * z) \ z) = 1 / (x \ K(z \ (y \ z),x)). 1 / (x \ K(y \ (z \ y),x)) = T(x,(z * y) \ y). L(T(x,K(y,x)),K(y,x),z) = x. (x * K(y,z)) * z != u | u = x * (z * K(y,z)). (x * K(y,z)) * z != u | x * (z * K(y,z)) = u. L(x,K(y,x),z) = x. L(x,y,z) = L(L(x,y,z),K(u,x),w). L(L(x,y,z),K(u,x),w) = L(x,y,z). (x * K(y,z)) * T(z,u) = x * (K(y,z) * T(z,u)). (x * (K(y,z) * L(z,u,w))) / (K(y,z) * L(z,u,w)) = R(x,K(y,z),L(L(z,u,w),K(y,z),x)). R(x,K(y,z),L(L(z,u,w),K(y,z),x)) = (x * (K(y,z) * L(z,u,w))) / (K(y,z) * L(z,u,w)). R(x,y,K(z,y)) = x. L(K(x,y),y,z) = K(x,y). (x * (y \ z)) * K(y,y \ z) = x * (z / y). x != K(y,z) | x = K(y,((u * z) \ u) \ 1). L(K(x,y),y,z) = K(x,((u * y) \ u) \ 1). 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). ((x * y) / x) * K(y,z) != u | K(x,y) * T(y,z) = u. K(x,x \ y) * K(z,y) != u | (x * (y / x)) / T(y,z) = u. T(x * y,x) / x = y * (K(x,y) * K(x * y,x)). x * (K(y,x) * K(y * x,y)) = T(y * x,y) / y. 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. L(K(x,T(y,z)),T(y,z),u) = K(x,((y * z) \ z) \ 1). K(x,((y * z) \ y) \ 1) != u | u = K(x,z). K(x,((y * z) \ y) \ 1) != u | K(x,z) = u. K(x,T(y / z,y)) != u | K(x,z \ y) = u. K(x,(y \ 1) \ 1) != z | K(x,y) = z. L(K(x,y),y,z) != u | K(x,y) = u. K(x,T(y \ 1,z)) != u | K(x,T(1 / y,z)) = u. K(x,R(T(y,y \ 1),z,u)) != w | K(x,R(y,z,u)) = w. K(x,y \ z) = K(x,T(z / y,z)). K(x,T(y / z,y)) = K(x,z \ y). K(x,T(y,z)) = K(x,(y \ z) \ z). K(x,(y \ z) \ z) = K(x,T(y,z)). x != K(y,(z \ u) \ u) | x = T(K(y,z),u). K(x,T(y,z)) = T(K(x,y),z). K(x,T(y,y \ z)) = K(x,T(y,z)). K(x,K(y,z) * u) = K(x,T(u * K(y,z),u)). K(x,T(y * K(z,u),y)) = K(x,K(z,u) * y). 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,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,z),u) | x = u \ (K(z,y) \ u). K(x,T(y,z)) = z \ (K(y,x) \ z). x \ (K(y,z) \ x) = K(z,T(y,x)). 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),T(y,u)) | x = K(y,z). K(x,T(y,T(x,z))) = K(x,y). x != T(K(y,z),K(u,y)) | x = K(y,z). K(x,T(y,K(z,x))) = K(x,y). x != T(K(y \ 1,z),y) | x = K(y \ 1,z). K(x \ 1,T(y,x)) = K(x \ 1,y). x != K(y,T(z,u)) | x = T(K(y,z),u * z). T(K(x,y),z) = T(K(x,y),z * y). T(K(x,y),z * y) = T(K(x,y),z). x * K(y,T(z,x)) = K(y,z) * x. x * K(y,T(z,x)) != u | K(y,z) * x = u. x / K(y,T(z,x)) = K(y,z) \ x. (K(x,y) * z) * K(y,T(x,z)) = z. 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)) != u | K(z,K(x,y)) = u. R(K(x,T(y,z)),u,w) \ 1 = T(R(K(x,y),u,w) \ 1,z). T(x,y) * K(z,T(x,T(z,u))) = K(z,x) * T(x,y). T(x,T(y,T(x,z))) = x * K(x,y). T(x,T(y,z)) * K(y,x) = T(x * K(y,x),T(y,z)). T(x * K(y,x),T(y,z)) = T(x,T(y,z)) * K(y,x). T(x,T(y,K(z,x))) = x * K(x,y). K(x,T(y * z,L(u,z,y))) = K(x,T(y * z,y * (z * u))). K(x,T(y * z,y * (z * u))) = K(x,T(y * z,L(u,z,y))). K(x,T(y,z \ 1)) = K(x,T(y,z \ y)). R(x,y,K(z,T(y,u))) = x. x * (y * K(z,T(y,u))) = (x * y) * K(z,T(y,u)). (x * y) * K(z,T(y,u)) = x * (y * K(z,T(y,u))). K(x,y) * (z * K(y,T(x,z))) = z. (K(x,y) * z) * K(T(y,z),x) = z. x * y != K(z,u) * (u \ w) | x \ (T(u,z) \ w) = y. (x \ y) \ (T(x,z) \ y) = K(z,T(x,x \ y)). x * y != K(z,u \ 1) * x | y = K(z,x \ (u \ x)). K(x,T(y \ 1,z)) = K(x,z \ (y \ z)). K(x,x \ y) * K(z,y) = K(z,y) * K(x,x \ y). x * K(T(y,x),z) = K(z,y) \ x. x * K(T(y,x),z) = K(y,z) * x. T(x,T(y,z)) != x * u | T(K(x,y),z) = u. x != y * K(y,z) | x = T(y,z). T(x,T(y,T(x,z))) = T(x,y). T(x / (x / y),T(z,y)) = T(x / (x / y),z). T(x * K(y,x),T(z,x)) = T(x * K(y,x),z). T(x,y) * T(y,T(x,z)) = x * T(y * K(x,y),T(x,z)). x * T(y * K(x,y),T(x,z)) = T(x,y) * T(y,T(x,z)). T(x,T(y,K(z,x))) = T(x,y). T(K(x,y),z) = K(T(x,z),y). K(T(x,y),z) = T(K(x,z),y). (K(x,y) * z) * u != z | u = K(y,T(x,z)). K(T(x,y),z) = K(x,T(z,y)). x != T(K(y,z),u) | x = K(T(y,y \ u),z). K(T(x,y),z) = K(T(x,x \ y),z). K(T(x,x \ y),z) = K(T(x,y),z). K(T(x,y),z) = K((x \ y) \ y,z). K((x \ y) \ y,z) = K(T(x,y),z). x != T(K(y,z / u),z) | x = K(y,u \ z). K(T(x,y),y / z) = K(x,z \ y). x != T(K(y,z),u * y) | x = K(T(y,u),z). K(T(x,y * x),z) = K(T(x,y),z). x != T(K(y,z),T(z,u)) | x = K(y,z). K(T(x,T(y,z)),y) = K(x,y). x != T(K(y,z),z \ 1) | x = K(y,z). K(T(x,y \ 1),y) = K(x,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). x * K(T(x,y),z) = T(x,T(z,y)). x != K(y,T(z,y * z)) | x = K(y,z). K(T(x,x * y),y) = K(x,y). x != K(T(y,z),u) | x = T(K(y,u),z * y). K(x,T(y,z)) = T(K(x,y),z * x). T(K(x,y),z * x) = K(x,T(y,z)). x != K(T(y,y \ z),u) | x = T(K(y,u),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(T(x,y),z / y) = K(x,y \ z). K(x,y) = K((z * x) / z,T(y,z)). K((x * y) / x,T(z,x)) = K(y,z). K(T(x,y),L(y,z,u)) = K(x,L(y,z,u)). 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(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). K(x,y) = K(x,T(y,z * (x / z))). K(x,T(y,z * (x / z))) = K(x,y). x / K(y,T(z,u)) = x * K(z,T(y,u)). K(x,T(y,z)) \ u != w | K(y,T(x,z)) * u = w. (x * K(y,T(z,u))) \ x != w | K(z,T(y,u)) = w. x * K(y,T(z,u)) != w | w * K(z,T(y,u)) = x. x / K(y,T(z,u)) != w | x * K(z,T(y,u)) = w. T(T(x,y),z) = K(x,T(z,y)) * T(x,y). K(x,T(y,z)) * T(x,z) = T(T(x,z),y). x * K(T(x,y),z) != u | T(x,T(z,y)) = u. (T(x,T(y,z)) * y) / K(x,y) = y * T(x,T(y,z)). K(L(x,y,x),y) = K(x,y). 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). K(x,L(L(x,y,z),u,w) / v5) = K(x,v5 \ L(L(x,y,z),u,w)). x != T(K(y,z),u) | x = K(y,T(z,u)). K(x,T(y,z)) = K(x,T(y,z * x)). K(x,T(y,z * x)) = K(x,T(y,z)). (x * y) * K(y,T(z,x)) = K(y,z) * (x * y). K(x,T(y,x \ z)) = K(x,T(y,z)). K((x * y) / x,T(z,x)) != u | K(y,z) = u. K(L(x,y,z),u / x) = K(L(x,y,z),x \ u). K(x,y / (z * (x / z))) = K(x,(z * (x / z)) \ y). T(x,T(y,T(T(x,z),u))) = K(x,y) * x. K(x * y,T(z,y * x)) = K(x * 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(x,T(y,z)) = K(x,T(y,x * z)). K(x,T(y,x * z)) = K(x,T(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)). K(T(x,(y \ z) \ u),z \ (y * u)) = K(x,L((y \ z) \ u,y \ z,y)). x * K(T(y,z),u) = x * K(y,T(u,z)). K(x,y) * T(x,T(z,y)) = T(T(x,y),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). K(x / y,T(z,y)) != u | K(y \ x,z) = u. K(x,T(y,z)) != u | K(T(x,z),y) = u. T(K(x,y),z) != u | K(T(x,z),y) = u. K(T(x,x \ y),z) != u | K(T(x,y),z) = u. K(T(x \ 1,x * y),z) != u | K(T(x \ 1,y),z) = u. (x * (K(y,x) / x)) * x = T(x,x \ 1) * K(y,x). T(x,x \ 1) * K(y,x) = (x * (K(y,x) / x)) * x. T(x,y) / (z \ x) = z * K(((z \ x) \ 1) \ z,y). x * y != z \ T(z * x,z) | y = K(z * x,z). K((x \ 1) \ y,x) = K(x * y,x). T(x * L(x \ (x * y),z,u),x) = x * L(y * K((x \ 1) \ y,x),z,u). T(x * K((y \ 1) \ x,z),y) = y \ T(x * y,z). L(K(x * y,x) * K(z * y,K(x * y,x)),y,z) = (z * (T(x * y,x) / T(x,y))) / (z * y). (x / (y / z)) * K(z,z \ y) = x / (z \ y). T(x / (y / z),K(z,z \ y)) != u | K(z \ y,z) * (x / (z \ y)) = 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,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,z) = x * (z \ y). x != K(y,T(z,z \ u)) | x = K(y,T(z,u)). (x \ y) \ (T(x,z) \ y) = K(z,T(x,y)). (x \ y) * K(z,T(x,y)) = T(x,z) \ y. T(T(T(x,y) / (T(x,y) / y),x),z) = L(T(y,z),y \ T(x,y),y). T(x * K(y,x),T(T(z,x),u)) = T(x * K(y,x),T(z,u)). x * T(y,T(z,x)) = K(y,z) * (x * y). K(x,y) * (z * x) = z * T(x,T(y,z)). K(x,K(y,z)) * (T(y,u) * x) = T(y,u) * T(x,K(y,z)). x * K(y \ z,y) = (x / (z / y)) * (y \ z). (x / (y / z)) * (z \ y) = x * K(z \ y,z). K((x \ y) \ 1,z) != u | K(y \ x,z) = u. K((x / y) \ 1,y) != z | K(x \ y,y) = z. K((K(x,y) * z) \ 1,u) != w | K(z \ K(y,x),u) = w. K(x / y,x) != z | K(y \ x,x) = z. 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). T(x,L(y,z,u) \ 1) = T(x,(u * (z * y)) \ (u * z)). T(x,(y * (z * u)) \ (y * z)) = T(x,L(u,z,y) \ 1). (1 / (x \ y)) * T(z,y \ x) = z * (1 \ (1 / (x \ y))). 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,T(y,z \ u)) = K(x,T(y,(u \ z) \ x)). K(x,T(y,(z \ u) \ x)) = K(x,T(y,u \ z)). R(x,y,z) = R(x,T(y,z),T(z,y)). R(x,T(y,z),T(z,y)) = R(x,y,z). R(x,T(y,z),T(z,y)) != u | R(x,y,z) = u. x != R(T(y,z),u,w) | x = T(R(y,u,w),z). R(T(x,y),T(z,u),T(u,z)) = T(R(x,z,u),y). T(R(x,y,z),u) != w | R(T(x,u),y,z) = w. K(x,K(y,z)) = K(y * x,K(y,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(T(x,y),z) != u | K(x,T(z,y)) = u. T(K(x,y),z) != u | K(x,T(y,z)) = u. K(x,(y \ z) \ z) != u | K(x,T(y,z)) = u. K(x,T(y,y \ z)) != u | K(x,T(y,z)) = u. T(K(x,y),z * y) != u | K(x,T(y,z)) = u. K(x,T(y,x \ z)) != u | K(x,T(y,z)) = u. (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) != u | K(z,T(x,y)) = u. K(x,(L(y,z,u) * (y \ w)) \ (L(y,z,u) * w)) != v5 | K(x,T(y,L(y,z,u) * w)) = v5. K(x,T(y,z \ 1)) != 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. x * K(T(y,z),u) != w | x * K(y,T(u,z)) = w. x * T(K(y,z),u) != w | x * K(y,T(z,u)) = w. L(K((x \ 1) \ (x \ y),z),x \ y,(x \ y) \ 1) / (x \ T(y,z)) = 1 / (x \ y). T(L(x \ 1,x,y) \ 1,z) = ((y * x) \ y) \ K(x,z). K(((x * y) \ x) \ 1,z) * ((((x * y) \ x) \ K(y,z)) \ u) = (((x * y) \ x) \ 1) \ u. K(x,((T(y,x) / z) \ 1) \ ((T(y,x) / z) \ y)) = z \ ((T(y,x) / z) \ y). T(x \ y,z) * ((y \ x) * K(z,x \ y)) = (x \ y) * (y \ x). T(x,(y * z) \ z) != u | T(x,z \ (y \ z)) = u. T(x,T(y \ 1,z)) != u | T(x,z \ (y \ z)) = u. R(x,K(y,z),T(z,u)) = x. x != R((y / z) * K(u,w),K(w,u),z) | x = y / (K(w,u) * z). (x / T(y,z)) * K(y,u) = x / (K(u,y) * T(y,z)). x / (K(y,z) * T(z,u)) = (x / T(z,u)) * K(z,y). L(K(x,T(y,z)),y,u) = K(x,T(y,z)). x * y != (z * (y / z)) * z | x = R(z,z \ y,z). T(x,x \ 1) = R(x,x \ K(y,x),x). R(x,x \ K(y,x),x) = T(x,x \ 1). R(x,T(x,y) \ 1,x) = T(x,x \ 1). R(T(x,y),T(x,z) \ 1,x) = T(T(x,x \ 1),y). T(T(x,x \ 1),y) \ x = (T(x,y) \ 1) * x. T((x \ 1) \ 1,y) \ x = (T(x,y) \ 1) * x. (K(x,x \ (y / z)) * (y / z)) * z = y * K(x,(x * z) \ y). x / (T(y,z) * K(u,y)) = (x / T(y,z)) * K(y,u). T(x * y,K(y,z)) = y * T(x,T(y,z)). 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(x * y,x),y,z) = K((z * (x \ 1)) \ (z * y),x). K(x \ y,y) = K(L(x \ y,x,z),y). K(L(x \ y,x,z),y) = K(x \ y,y). K(L(x \ y,x,K(y,z)),u) = K(x \ y,u). K(x \ (y * z),z) = K((y \ x) \ z,z). K((x \ y) \ z,z) = K(y \ (x * z),z). K(L(x \ y,T(x,z),z),y) = K(x \ y,y). K(x \ y,K(y,z) * x) * (K(y,z) * (x * (x \ y))) = L(x \ y,x,K(y,z)) * (K(y,z) * x). x != L(K(y,T(z,u)),z,w) | x = K(y,T(z,u)). K(x \ (y * z),T(z,u)) = K((y \ x) \ z,T(z,u)). K((x \ y) \ z,T(z,u)) = K(y \ (x * z),T(z,u)). (x * y) * K(z \ (x * y),u) = x * (y * K((x \ z) \ y,u)). K(L(x,y / x,z),u) = L(K(x,u),y,z). 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). K(L(x,y / T(x,y),z),u) = L(K(x,u),T(y,x),z). L(K(x,y),z,u) \ 1 != w | K(y,L(x,z / x,u)) = w. K(x,y * x) = K(L(x,y,z),y * x). K(L(x,y,z),y * x) = K(x,y * x). L(K(x,y),z * K(u,x),w) = K(L(x,z / T(x,u),w),y). x != K(y,z * y) | x = K(y,y * z). K(L(x,y,z),y * x) = K(x,x * y). K(L(x,y,z),y * x) != u | K(x,x * y) = u. K(x,(T(y,z) * (y \ u)) \ 1) != w | K(x,u \ K(z,y)) = w. x != L(K(y,T(z,u)),T(z,u),u) | x = R(T(K(y,z),z * u),z,u). K(x,((y * z) \ z) \ 1) = R(T(K(x,y),y * z),y,z). R(T(K(x,y),y * z),y,z) = K(x,((y * z) \ z) \ 1). T(L(x \ 1,x,y) \ 1,x * L(x \ 1,z,u)) = ((y * x) \ y) \ 1. 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 \ 1,z) | x = K(u / (y * u),z). K(x \ (y \ 1),y) = K(z / ((y * x) * z),y). K(x / ((y * z) * x),y) = K(z \ (y \ 1),y). 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(x,y) = K(K(z,z \ 1) * x,y). K(K(x,x \ 1) * y,z) = K(y,z). K(x,y) = K(x * K(z \ 1,z),y). K(x * K(y \ 1,y),z) = K(x,z). K(x * ((y \ 1) \ 1),z) = K(x * y,z). K(x \ T(y,y \ 1),z) = K(x \ y,z). K(x \ (1 / y),z) = K(x \ (y \ 1),z). K(x * (((x \ y) \ 1) \ 1),z) = K(y,z). K((K(x,x \ 1) * y) \ z,u) = K(y \ z,u). K(x \ (y * z),u) = K(x \ (y * ((z \ 1) \ 1)),u). K(x \ (y * ((z \ 1) \ 1)),u) = K(x \ (y * z),u). K(x * R(y \ 1,z,u),w) = K(x * R(1 / y,z,u),w). K(x * R(1 / y,z,u),w) = K(x * R(y \ 1,z,u),w). x != K(y \ z,u) | x = K((z \ y) \ 1,u). K(x \ y,z) = K((T(y,y \ 1) \ x) \ 1,z). K((T(x,x \ 1) \ y) \ 1,z) = K(y \ x,z). T(x,y) / ((1 / z) \ x) = (1 / z) * K((((1 / z) \ x) \ 1) \ (z \ 1),y). K((x * ((y \ 1) \ 1)) \ z,u) = K((x * y) \ z,u). K((x * (K(y,y \ 1) * z)) \ u,w) = K((x * z) \ u,w). K((((1 / x) \ y) \ z) \ u,w) = K((((x \ 1) \ y) \ z) \ u,w). K(x \ 1,y) = K(x \ ((z \ 1) * z),y). K(x \ ((y \ 1) * y),z) = K(x \ 1,z). x != K((y * z) \ (y * u),w) | x = L(K(z \ u,w),u,y). K(((x \ 1) * y) \ 1,z) = L(K(y \ x,z),x,x \ 1). L(K(x \ y,z),y,y \ 1) = K(((y \ 1) * x) \ 1,z). (1 / x) * K(y \ (x \ 1),z) = K((y * x) \ 1,z) / x. (((x \ y) \ 1) \ x) * ((x \ y) \ 1) = y * (x / y). x != (((y \ z) \ 1) \ y) * ((y \ z) \ 1) | x = T(z,z \ y) / (y \ z). x * (y / x) = T(x,x \ y) / (y \ x). T(x,x \ y) / (y \ x) = x * (y / x). (x * (y / x)) * (y \ x) = T(x,x \ y). x * y != z * T(u * K(z,u),T(z,w)) | (T(z,u) * T(u,T(z,w))) / y = x. (T(x,y) * T(y,T(x,z))) / x = T((y * K(x,y)) * K(x,y * K(x,y)),T(x,z)). T((x * K(y,x)) * K(y,x * K(y,x)),T(y,z)) = (T(y,x) * T(x,T(y,z))) / y. T(x,y) * T(y * K(x,y),T(T(x,y),z)) = T(T(x,y),y) * T(y,T(T(x,y),z)). x * T(y * K(x,y),T(x,z)) = T(x,T(y,T(x,u))) * T(y,T(x,z)). T(x,T(y,T(x,z))) * T(y,T(x,u)) = x * T(y * K(x,y),T(x,u)). (1 / ((x * y) \ x)) * T(z,y) = z * (1 \ (1 / ((x * y) \ x))). K(T(x,y) \ z,u) = K((x * ((T(y,x) \ 1) * y)) \ z,u). K((x * ((T(y,x) \ 1) * y)) \ z,u) = K(T(x,y) \ z,u). (1 / x) * y != K(z,x) / x | y = K(z,x). K(x \ (y \ 1),y) = K((x * y) \ 1,y). K((x * y) \ 1,y) = K(x \ (y \ 1),y). L(K(x \ (y \ 1),y),z,u) = K(L(x * y,z,u) \ 1,y). L(x \ 1,x,y * K(x,z)) != u | L(x \ 1,T(x,z),y) = u. (x * (y / x)) / T(y,z) = K(z,y) * K(x,x \ y). x != K(y,T(z,y * u)) | x = K(y,T(z,u)). K(x,T(x * y,L(z,y,x))) = K(x,T(x * y,y * z)). K(x,y \ K(z,u)) = K(x,(T(u,z) * y) \ u). K(x,(T(y,z) * u) \ y) = K(x,u \ K(z,y)). K(x,y \ z) = K(x,(T(z,u) \ y) \ K(u,z)). K(x,(T(y,z) \ u) \ K(z,y)) = K(x,u \ y). x \ T(x * K(y \ 1,y),y) = T((T(y,x) \ 1) * y,x). x != T((T(y,z) \ 1) * y,z) | x = (T(y,z) \ 1) * y. x \ T(x * K(y \ 1,y),y) = (T(y,x) \ 1) * y. (((x / y) * T(y,z)) * u) \ (x * u) = K(z,((x / y) * u) \ (x * u)). x != y * K(z,u \ y) | x = K(z,(u / y) \ 1) * y. (K(x,x \ (y / z)) * (y / z)) * z = K(x,((x * z) / y) \ 1) * y. x * (y * K((x \ z) \ y,u)) != (x * y) * w | K(z \ (x * y),u) = w. (x * y) * z != x * (y * K((x \ u) \ y,w)) | K(u \ (x * y),w) = z. (1 / ((x * y) \ x)) * T(z,y) = z * (1 / ((x * y) \ x)). 1 / ((x * y) \ x) = T(1 / ((x * y) \ x),y). T(1 / ((x * y) \ x),y) = 1 / ((x * y) \ x). x * y != T(x,z) * x | y = T(x,z). T(T(1 / ((x * y) \ x),z),y) = T(1 / ((x * y) \ x),z). T(T(x * K(x \ y,x),y),z) = L(T(x,z),x \ T(y,x),x). 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). ((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. (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). (x * y) \ ((x * K(z,u)) * y) != w | K(((x / z) * y) \ (x * y),u) = w. R(K(x,x \ (y / z)),y / z,z) = K(x,((x * z) / y) \ 1). 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). x != (y * z) \ ((u * T(u \ y,w)) * z) | x = K(((y * z) \ (u * z)) \ 1,w). R(T(K(x \ y,y),y * z),y,z) = K(((y * z) \ (x * z)) \ 1,y). x != R(T(K(y,z),z * u),z,u) | x = K(y,((z * u) \ u) \ 1). K(((x * y) \ (z * y)) \ 1,x) = K(z \ x,((x * y) \ y) \ 1). K((x * y) \ (z * y),z) = K(x \ z,((z * y) \ y) \ 1). K(x \ y,((y * z) \ z) \ 1) = K((x * z) \ (y * z),y). K(x \ y,z \ (y * z)) = K((x * z) \ (y * z),y). K((x * y) \ (z * y),z) = K(x \ z,y \ (z * y)). K((x * y) \ (z * y),z) = K(x \ z,T(z,y)). K(x \ (y * z),y) = K((x / z) \ y,T(y,z)). K((x / y) \ z,T(z,y)) = K(x \ (z * y),z). K(T(x,(y \ z) \ u),z \ (y * u)) = K(x,z \ (y * u)). L(x * K(y \ z,z \ y),u,w) = L(x,u,w) * K(y \ z,z \ y). K(x \ y,L(y \ x,z,u)) = K(x \ y,y \ x). K(x \ L(x,y,z),a(z,y,x)) = K(x \ L(x,y,z),L(x,y,z) \ x). K(x \ L(x,y,z),L(x,y,z) \ x) = K(x \ L(x,y,z),a(z,y,x)). (L(x,y,z) \ 1) * x = x / L((x \ 1) \ 1,y,z). 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). (x * y) * K(((x * y) \ (z * y)) \ 1,u) = (x * K((x \ z) \ 1,u)) * y. T(x * L(y,z,u),x) = x * L(y * K((x \ 1) \ y,x),z,u). x * L(y * K((x \ 1) \ y,x),z,u) = T(x * L(y,z,u),x). x * L(y * K(x * y,x),z,u) = T(x * L(y,z,u),x). x * L(y * K(y * x,x),z,u) = T(x * L(y,z,u),x). x * y != T(x * z,x) | y = z * K(x * z,x). L(x * K(x * y,y),z,u) = L(x,z,u) * K(y * L(x,z,u),y). L(x,y,z) * K(u * L(x,y,z),u) = L(x * K(x * u,u),y,z). (x * (y * z)) \ ((x * y) * L(z * K(z * u,u),y,x)) = L(K(u * L(z,y,x),u),L(z,y,x),x * y). T(x,y) / ((1 / z) \ x) = (1 / z) * K((((z \ 1) \ x) \ 1) \ (z \ 1),y). x * y != (z * x) * K(((z * x) \ (u * x)) \ 1,w) | T(z * K((z \ u) \ 1,w),x) = y. T(x * K((x \ y) \ 1,z),x) = x * K((x \ (x \ (y * x))) \ 1,z). x * K((x \ (x \ (y * x))) \ 1,z) = T(x * K((x \ y) \ 1,z),x). x * K((x \ T(y,x)) \ 1,z) = T(x * K((x \ y) \ 1,z),x). T(x * K((x \ y) \ 1,z),x) = x * K((x \ T(y,x)) \ 1,z). x != y * K((y \ z) \ 1,u) | x = z * T(z \ y,u). T(x * K((x \ y) \ 1,z),x) = T(y,x) * T(T(y,x) \ x,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 * 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). 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 \ (1 / y)) * x,y,z) * (y * z) = (y * z) * ((x \ ((y * z) \ z)) * x). 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,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(x * K(y,x),y * R(x,z,u)) = L(x,y,R(x * K(y,x),z,u)). T(x * K(y,x),y * R(x,y,x)) = L(x,y,x * K(y * x,x)). T(x * K(y,x),T(x * y,x)) = L(x,y,x * K(y * x,x)). x != T(y * K(z,y),T(u,y)) | x = T(y * K(z,y),u). L(x,y,x * K(y * x,x)) = T(x * K(y,x),x * y). x != R(T(y,z),u,w) / R(y,u,w) | x = K(R(y,u,w),z). K(R(x,y,z),T(T(x,u) * u,w)) = K(R(x,y,z),T(x * u,w)). T((x \ L(y,y \ z,y)) * x,T(z,y) / y) = (x \ T(y,z)) * x. T((x \ L(y,y \ z,y)) * x,T(z,y) / y) != u | T((x \ y) * x,z) = u. T(T(x * K(y * L(x,z,u),x),w),y) = R(T(x,w),y,L(x,z,u)). T(T(x * K(y * R(x,z,u),x),w),y) = R(T(x,w),y,R(x,z,u)). K(((x * y) * z) \ (y * z),R(T(x,u),y,z)) = K(R(x,y,z) \ 1,R(x,y,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). K(x,y / (x / ((z * y) \ 1))) != u | K(x,z \ (x \ 1)) = u. K(x,y \ (x \ 1)) = K(x,(y * x) \ 1). K(x,(y * x) \ 1) = K(x,y \ (x \ 1)). (x * y) * L(z * ((y \ 1) / z),y,x) = (x * y) * (z * (((x * y) \ x) / z)). x != K(R(y,z,u) \ 1,R(y,z,u)) | x = K(y \ 1,y). K(((x * y) * z) \ (y * z),R(T(x,u),y,z)) = K(x \ 1,x). K(x \ 1,x) * ((y * z) / ((x * y) * z)) = (((y * z) / ((x * y) * z)) \ 1) \ 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 / x)) \ T(y,z)) * (x * (y / x)) = T(y,z). T(x,y) / (z * (x / z)) = (z * (x / z)) \ T(x,y). T(x,y) / (T(x,y) / (z * (x / z))) = z * (x / z). K(x,R(y,z,u) \ 1) * (z * u) = (K(x,y \ 1) * z) * u. K(x,R(y,z,u) \ 1) = R(K(x,y \ 1),z,u). R(K(x,y \ 1),z,u) = K(x,R(y,z,u) \ 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). 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). R(K(x,y \ (x \ 1)),z,u) = K(x,R(y * x,z,u) \ 1). 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). (x * y) / (((z \ x) * z) * y) = R(K(z,z \ x),x,y). (x * y) / ((z * (x / z)) * y) = R(K(z \ x,z),x,y). ((x * y) * z) / ((x * T(y,T(u,x))) * z) = R(K(u,y),x * y,z). K(x,(y * z) / (u * z)) = R(K(x,y / u),y,z). R(K(x,y / z),y,u) = K(x,(y * u) / (z * u)). R(K(x,(y / z) / u),y / z,z) = K(x,y / (u * z)). 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,z,u)) = R(K(x,y),y * z,u). R(K(x,y),y * z,u) = K(x,R(y,z,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(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). K(x,(x * y) / z) != u | K(x,(z / y) \ x) = u. R(T(K(x,y),z),y * u,w) = K(x,T(R(y,u,w),z)). R(T(K(x,y),z),y * u,w) = K(x,R(T(y,z),u,w)). R(K(x,T(y,z)),y * u,w) = K(x,R(T(y,z),u,w)). 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). R(K(x,y),(y * K(z,y)) * u,w) = K(x,R(T(y * K(z,y),z),u,w)). R(K(x,x \ (y / z)),y / z,z) = y / (((x \ (y / z)) * x) * z). x != R(K(y,y \ (z / u)),z / u,u) | x = K(y,((y * u) / z) \ 1). x / (((y \ (x / z)) * y) * z) = K(y,((y * z) / x) \ 1). x / (y * ((z \ (y \ x)) * z)) = K(z,((z * y) / x) \ 1). x != K(y,(z / u) \ 1) | x = K(y,u / z). x / (y * ((z \ (y \ x)) * z)) = K(z,x / (z * y)). x != y / (z * ((u \ (z \ y)) * u)) | x = K(u,y / (u / (z \ 1))). K(x,y / (x * z)) = K(x,y / (x / (z \ 1))). K(x,y / (x / (z \ 1))) = K(x,y / (x * z)). x / (((y \ z) * y) * (z \ x)) = K(y,x / (y * (z \ x))). K(x,y \ (x \ 1)) = K(x,z / (x * (y * z))). K(x,y / (x * (z * y))) = K(x,z \ (x \ 1)). K(x,y / (x * (z * y))) != u | K(x,z \ (x \ 1)) = u. K(x,(y * z) / (x * ((u * y) * z))) != w | K(x,R(u,y,z) \ (x \ 1)) = w. (x * y) / (((z \ R(R(1 / u,u,x),u * x,y)) * z) * ((u * x) * y)) = K(z,(x * y) / (z * (R(R(1 / u,u,x),u * x,y) \ (x * y)))). R(K(x,y),y * (K(z,y) * u),w) = K(x,R(T(y * K(z,y),z),u,w)). x != R(K(y,z),z * u,w) | x = K(y,R(z,u,w)). K(x,R(T(y * K(z,y),z),u,w)) = K(x,R(y,K(z,y) * u,w)). K(x,R(y,z,u)) = K(x,R(y,K(w,y) * z,u)). K(x,R(y,K(z,y) * u,w)) = K(x,R(y,u,w)). K(x,R(y,z,u)) = K(x,R(y,K(y,w) * z,u)). K(x,R(y,K(y,z) * u,w)) = K(x,R(y,u,w)). (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. K(R(x,K(x,y) * z,u),w) != v5 | K(R(x,z,u),w) = v5. T(x,T(y * K(x,y),T(x,z))) * T(y * K(x,y),T(x,u)) = x * ((T(x,y) * T(y,T(x,u))) / x). T(x,y) * T(y * K(x,y),T(x,z)) = T(T(x,y),y) * T(y,T(T(x,y),z)). T(T(x,y),y) * T(y,T(T(x,y),z)) = T(x,y) * T(y * K(x,y),T(x,z)). T(T(x,y),y) * T(y,T(x,z)) = T(x,y) * T(y * K(x,y),T(x,z)). T(x,y) * T(y * K(x,y),T(x,z)) = T(T(x,y),y) * T(y,T(x,z)). (T(T(x,y),y) * T(y,T(x,z))) / K(x,T(y * K(x,y),T(x,z))) = T(x,y) * T(y,T(x,z)). (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). (x * y) * L(z \ T(z * (y \ (z \ 1)),z),y,x) = (x * K(y \ 1,z)) * (z \ 1). K((((x \ y) \ 1) * (x \ 1)) \ 1,z) / (x \ T(y,z)) = 1 / (x \ y). 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 \ z,u)) * (u \ 1) | x \ T(z * (u \ 1),u) = y. x \ T(x * (y \ 1),y) = T(y,y \ x) \ 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). x \ T(x * (y \ 1),y) = ((y \ x) \ x) \ 1. x * K(y,z) != u * (T(z,y) \ 1) | x = u * (z \ 1). x * K(y,z) != u * (T(z,y) \ 1) | u * (z \ 1) = x. (((x \ y) \ y) \ 1) * y = T((x \ 1) * y,x). T((x \ 1) * y,x) = (((x \ y) \ y) \ 1) * 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. x * (y \ 1) = (x * (T(y,z) \ 1)) * K(y,z). (x * (T(y,z) \ 1)) * K(y,z) = x * (y \ 1). (x * (y \ 1)) \ (x * (T(y,z) \ 1)) != u | K(z,y) = u. L(K(x,y),y \ 1,z) != u | K(x,y) = u. L((x \ 1) \ 1,y,z) \ x = (L(x,y,z) \ 1) * x. x / ((L(x,y,z) \ 1) * x) = L((x \ 1) \ 1,y,z). (L((x \ 1) \ 1,y,z) \ ((x \ 1) \ 1)) * (x \ 1) = ((L(x,y,z) \ 1) * x) * (1 / x). T(x,(K(y \ 1,y) * z) * ((u \ 1) \ w)) = T(x,z * ((K(y,y \ 1) / u) \ w)). 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)) != w | L(x,y,z) = w. ((T(x,y) * z) * u) / ((x * z) * u) = R(K(R(x,z,u),y),R(x,z,u),z * u). R(K(R(x,y,z),u),R(x,y,z),y * z) = ((T(x,u) * y) * z) / ((x * y) * z). K(R(x,y,z),u) = ((T(x,u) * y) * z) / ((x * y) * z). ((T(x,y) * z) * u) / ((x * z) * u) = K(R(x,z,u),y). R(K(x,y),x * z,u) = K(R(x,z,u),y). x != R(K(y,y \ 1),z,u) | x = K(y,y \ 1). K(R(x,y,z),x \ 1) = K(x,x \ 1). R(K(x,y),z,u) = K(R(x,x \ z,u),y). K(R(x,x \ y,z),u) = R(K(x,u),y,z). R(K(x,y),K(x,z) * u,w) = K(R(x,K(x,z) * (x \ u),w),y). K(R(x,K(x,y) * (x \ z),u),w) = R(K(x,w),K(x,y) * z,u). 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 != R(y,1,z) | x = y. K(R(x,x \ 1,y),z) = K(x,z). K((x * y) / ((z \ x) * y),u) = R(K(z,u),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 / x) \ (1 / R(x,y,z)) = R(x,y,z) \ x. 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. 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 != K(y / z,T(u,y)) | x = K(z \ y,u). R(K(x / y,T(z,x * u)),x,u) = K((y * u) \ (x * u),z). R(K((x / y) / z,u),x / y,y) = K(x / (z * y),u). R(K(x / (y / z),u),x,z) = K((x * z) / y,u). 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). 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) != u | K((z / y) \ x,x) = u. R(K(x \ (y / z),y / z),y / z,z) = K(y / (x * z),y / z). 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). x != K(R(y,y \ z,u),w) | x = R(K(y,w),z,u). R(K(x,y),K(x,z) * u,w) = R(K(x,y),u,w). (x * y) / L(y,x,y * K(x * y,y)) = (R(y * K(x,y),x,y) * x) / y. (x / L(y,x,y * K(x * y,y))) * y = (R(y * K(x,y),x,y) * x) / y. (x / L(y,x,y * K(x * y,y))) * y = (x * R(y,x,y)) / y. (x / L(y,x,y * K(x * y,y))) * y = T(y * x,y) / y. (x / T(y * K(x,y),y * x)) * y = T(y * x,y) / y. (x / L(y,x,y)) * y = T(y * x,y) / y. (T(x * y,x) / x) \ (y * x) = L(x,y,x). 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). K(x,y) * ((((z * x) \ z) \ K(x,y)) \ u) = (((z * x) \ z) \ 1) \ u. 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. 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). T(x,y) / T(z * (x / z),y) = K((z / x) \ 1,z * K(x,y)). K((x / y) \ 1,x * K(y,z)) = T(y,z) / T(x * (y / x),z). (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)). x != (y * z) \ (y * (z * u)) | x = L(u,z,y). L(x,y * K(z \ 1,z),u) = L(x,y,u). L(x,y,z) = L(x,(y \ 1) \ 1,z). L(x,(y \ 1) \ 1,z) = L(x,y,z). L(x,y,z) = L(x,T(y,y \ 1),z). L(x,T(y,y \ 1),z) = L(x,y,z). L(x,y \ 1,z) = L(x,1 / y,z). L(x,1 / y,z) = L(x,y \ 1,z). K(x,y \ 1) = L(K(x,y \ 1),y,z). L(K(x,y \ 1),y,z) = K(x,y \ 1). (x * T(y,y \ 1)) * L(z,y,x) = x * (T(y,y \ 1) * z). (x * y) * K(z,y \ 1) = x * (y * K(z,y \ 1)). 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,z) * ((y \ x) * K(z,x \ y)) = T((x \ y) * (y \ x),z). x * (T(y,y \ 1) * z) != (x * T(y,y \ 1)) * u | L(z,y,x) = u. (x * T(y,y \ 1)) * z != x * (T(y,y \ 1) * u) | L(u,y,x) = z. x != T(y \ z,u) * ((z \ y) * K(u,y \ z)) | x = (y \ z) * (z \ y). T((x \ y) * (y \ x),z) = (x \ y) * (y \ x). T(x,(y \ z) * (z \ y)) = x. T(x,y * ((z * y) \ z)) = x. (x * ((y * x) \ y)) \ z = z / (x * ((y * x) \ y)). x / (y * ((z * y) \ z)) = (y * ((z * y) \ z)) \ x. T(x * ((y * x) \ y),z) = x * ((y * x) \ y). T(x * L(x \ 1,x,y),z) = x * ((y * x) \ y). R(x,y,R(T(x,y),z,u)) = T(x,y) * K(R(x,z,u) * y,T(x,y)). T(x,y) * K(R(x,z,u) * y,T(x,y)) = R(x,y,R(T(x,y),z,u)). ((x * y) * z) \ ((y * x) * z) = K((((x * y) * z) \ (x * z)) \ 1,x). K((((x * y) * z) \ (x * z)) \ 1,x) = ((x * y) * z) \ ((y * x) * z). ((x \ y) \ y) \ R((x \ y) \ y,z,u) = x \ (y \ ((R(x,z,u) * (x \ y)) * x)). ((x * y) * z) / ((x * T(x \ (x * y),u)) * z) = K(u,R(y * K(x,y),x,z)). ((x * y) * z) / ((x * T(y,u)) * z) = K(u,R(y * K(x,y),x,z)). x != y / L((z \ ((u \ 1) \ (u \ y))) * z,u \ 1,u) | x = K(z,z \ y). K(x,y / (z * (x / ((z \ 1) \ 1)))) = K(x,x \ y). (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). T(x * (y * K(z,u)),L(K(u,z),y * K(z,u),x)) = L(K(u,z),y / K(u,z),x) \ (x * y). (K(x,y) * (K(x,z) * u)) / (K(x,y) * u) = K((1 / x) \ 1,z). x != K((y / z) \ y,u) | x = K(z,u). (K(x,y) * (K(x,z) * u)) / (K(x,y) * u) = K(x,z). K(x,y) * (K(x,z) * u) = K(x,z) * (K(x,y) * u). K(x,y) * (K(y,z) * (K(y,x) * u)) = K(y,z) * u. K(x,y) * (z * K(x,u)) = K(x,u) * (K(x,y) * T(z,K(x,u))). K(x,y) * (K(x,z) * T(u,K(x,y))) = K(x,z) * (u * K(x,y)). K(x,y) * (K(y,z) * u) = K(y,z) * (K(x,y) * u). K(x,y) * (K(z,x) * u) = K(z,x) * (K(x,y) * u). (T(T(x,y),y) * T(y,T(x,z))) / K(x,y * K(x,y)) = T(x,y) * T(y,T(x,z)). (T(T(x,y),y) * T(y,T(x,z))) / K(x,y) = T(x,y) * T(y,T(x,z)). L((x \ 1) \ y,x \ 1,x * ((1 / x) * (x * z))) = ((x * z) / x) \ (T(T(x,z) * z,x) * y). x != (y * z) / z | x = y. R(x,K(y,z),L(L(z,u,w),K(y,z),x)) = x. R(x,K(y,z),L(z,u,w)) = x. R(x,K(y,z),L(T(z,u),w,v5)) = x. (x / L(T(y,z),u,w)) * K(y,v5) = x / (K(v5,y) * L(T(y,z),u,w)). x / (K(y,z) * L(T(z,u),w,v5)) = (x / L(T(z,u),w,v5)) * K(z,y). 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(R(x,y,x),z) * (T(x,y) \ (x * y)) = T(x,y) \ ((T(x,z) * y) * T(x,y)). R(T(x,y),z,x) * (T(x,z) \ (x * z)) = T(x,z) \ ((T(x,y) * z) * T(x,z)). R(T(x,y),z,x) * T(z,x) = T(x,z) \ ((T(x,y) * z) * T(x,z)). T(x,y) \ ((T(x,z) * y) * T(x,y)) = R(T(x,z),y,x) * T(y,x). T(T(x,y) * z,T(x,z)) = R(T(x,y),z,x) * T(z,x). R(T(x,y),z,x) * T(z,x) = T(T(x,y) * z,T(x,z)). T(x,y) * T(y * K(x,y),T(x,z)) = x * ((T(x,y) * T(y,T(x,z))) / x). x != T(y,z) * T(z * K(y,z),T(y,u)) | x = T(T(y,z),z) * T(z,T(y,u)). x * ((T(x,y) * T(y,T(x,z))) / x) = T(T(x,y),y) * T(y,T(x,z)). T(T(x,y),y) * T(y,T(x,z)) = x * ((T(x,y) * T(y,T(x,z))) / x). x != a(1 / (y * z),y,z) \ T((1 / (y * z)) * y,z) | x = z \ 1. (x * ((1 / (y * x)) * y)) \ ((1 / (y * x)) * y) = x \ 1. (L(x,y,z) * ((1 / x) * (L(x,y,z) \ x))) \ ((1 / ((L(x,y,z) \ x) * L(x,y,z))) * (L(x,y,z) \ x)) = L(x,y,z) \ 1. T(x,y) \ T(T(x,y) * (K(y,x) * K(z,z \ x)),u) = T(z * (x / z),u) / T(T(x,y),z * (x / z)). (x * (y * z)) \ (x * (y * (z * K(z * u,u)))) = L(K(u * L(z,y,x),u),L(z,y,x),x * y). L(K(x * L(y,z,u),x),L(y,z,u),u * z) = (u * (z * y)) \ (u * (z * (y * K(y * x,x)))). x != (y * (z * u)) \ (y * (z * (u * w))) | x = L(L(w,u,z),z * u,y). L(K(x * L(y,z,u),x),L(y,z,u),u * z) = L(L(K(y * x,x),y,z),z * y,u). L(L(K(x * y,y),x,z),z * x,u) = L(K(y * L(x,z,u),y),L(x,z,u),u * z). T(x,y) \ T(z * (x / z),u) = T(z * (x / z),u) / T(T(x,y),z * (x / z)). T(x * (y / x),z) / T(T(y,u),x * (y / x)) = T(y,u) \ T(x * (y / x),z). T(x * (y / x),z) / T(y,u) = T(y,u) \ T(x * (y / x),z). x != T(y * (z / y),u) / T(z,u) | x = K(y * K(z,u),(y / z) \ 1). T(x,y) \ T(z * (x / z),y) = K(z * K(x,y),(z / x) \ 1). K(x * K(y,z),(x / y) \ 1) = T(y,z) \ T(x * (y / x),z). x != T(y,z) \ T(u * (y / u),z) | x = K(u,u \ T(y,z)). K(x * K(y,z),(x / y) \ 1) = K(x,x \ T(y,z)). T(R(x,y,z) * K(u * R((1 / x) \ 1,y,z),R(x,y,z)),u) = R(R(x,y,z),u,L(R(x,y,z),x \ 1,x)). x != (y * (z * K(u,z))) / (z * K(w,z)) | x = (y * K(u,z)) * K(z,w). (x / (y * K(z,y))) * R(y * K(z,y),z,L(y,u,w)) = (x * K(z * L(y,u,w),y)) * K(y,z). T(R(x,y,z) * K(u * R(x,y,z),R(x,y,z)),u) = R(R(x,y,z),u,L(R(x,y,z),x \ 1,x)). L(x,((y \ 1) \ y) \ y,z / T(y \ 1,(y \ 1) \ y)) = z \ ((z / (1 / y)) * ((((y \ 1) \ y) \ y) * x)). L(x,((y \ 1) \ y) \ y,z / T(y \ 1,(y \ 1) \ y)) = z \ ((z / (1 / y)) * (((y * y) \ y) * x)). L(x,((y \ 1) \ y) \ y,z / T(y \ 1,(y \ 1) \ y)) = z \ ((z / (1 / y)) * ((1 / y) * x)). L(x,((y \ 1) \ y) \ y,z / T(y \ 1,(y \ 1) \ y)) = z \ (y * ((y \ z) * x)). x != y \ (z * ((z \ y) * u)) | x = L(u,z \ y,z). L(x,((y \ 1) \ y) \ y,z / T(y \ 1,(y \ 1) \ y)) = L(x,y \ z,y). L(x,(y * y) \ y,z / T(y \ 1,(y \ 1) \ y)) = L(x,y \ z,y). L(x,1 / y,z / T(y \ 1,(y \ 1) \ y)) = L(x,y \ z,y). L(x,1 / y,z / T(y \ 1,y * y)) = L(x,y \ z,y). L(x,1 / y,z / (K(y,y) / y)) = L(x,y \ z,y). L(x,1 / y,z / (1 / y)) = L(x,y \ z,y). x * ((T(y,(z \ x) \ u) * (x \ (z * u))) / T(y,(z \ x) \ u)) = z * (u * K(y,(u \ (z \ x)) \ 1)). x * (y * K(z,(y \ (x \ u)) \ 1)) = u * ((u \ (x * y)) * K(T(z,(x \ u) \ y),u \ (x * y))). x * ((x \ (y * z)) * K(T(u,(y \ x) \ z),x \ (y * z))) = y * (z * K(u,(z \ (y \ x)) \ 1)). x * ((x \ (y * z)) * K(u,x \ (y * z))) = y * (z * K(u,(z \ (y \ x)) \ 1)). x != y * ((y \ z) * K(u,y \ z)) | x = z * K(u,(z \ y) \ 1). x * (y * K(z,(y \ (x \ u)) \ 1)) = (x * y) * K(z,((x * y) \ u) \ 1). (x * y) * K(z,((x * y) \ u) \ 1) = x * (y * K(z,(y \ (x \ u)) \ 1)). L(K(x,(y \ (z \ u)) \ 1),y,z) = K(x,((z * y) \ u) \ 1). L(K(x,(y \ z) \ 1),y,u) = K(x,((u * y) \ (u * z)) \ 1). L(K(x,y \ 1),z,u) = K(x,((u * z) \ (u * (z * y))) \ 1). K(x,((y * z) \ (y * (z * u))) \ 1) = L(K(x,u \ 1),z,y). K(x,L(y,z,u) \ 1) = L(K(x,y \ 1),z,u). L(K(x,y \ 1),z,u) = K(x,L(y,z,u) \ 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). (x * y) * K(z,L(u,y,x) \ 1) = x * (y * K(z,u \ 1)). 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). x != K(y,L(z \ 1,u,w) \ 1) | x = L(K(z,y),u,w) \ 1. L(K(x,y),z,u) = L(K(y,x),z,u) \ 1. L(K(x,y),z,u) \ 1 = L(K(y,x),z,u). K(x,L(y,z / y,u)) = L(K(x,y),z,u). 1 / L(K(x,y),z,u) = L(K(y,x),z,u). x != L(K(y,z),u,w) \ 1 | x = (v5 * L(K(y,z),u,w)) \ v5. L(K(x,y),z,u) = (w * L(K(y,x),z,u)) \ w. (x * L(K(y,z),u,w)) \ x = L(K(z,y),u,w). 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) \ w = L(K(y,x),z,u) * w. K(x,y) \ 1 = L(K(y,x),y,z). L(K(x,y),x,z) = K(y,x) \ 1. L(K(x,y),x,z) = K(x,y). L(K(x,y),x,z) != u | K(x,y) = u. (x * y) * T(K(y,z),u) = x * (y * T(K(y,z),u)). (1 / x) \ L(K(x,y),z,u) = x * L(K(x,y),z,u). ((x * y) * (z * K(z,u))) / ((y * z) * K(z,u)) = R(R(x,y,z),y * z,L(K(z,u),z,x * y)). R(R(x,y,z),y * z,L(K(z,u),z,x * y)) = ((x * y) * (z * K(z,u))) / ((y * z) * K(z,u)). 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)). K(x,L(y \ z,y,u)) = L(K(x,y \ z),z,u). L(K(x,y \ z),z,u) = K(x,L(y \ z,y,u)). 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. 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)). x / L(K(y,z),u,w) != v5 | v5 = x * L(K(z,y),u,w). x / L(K(y,z),u,w) != v5 | x * L(K(z,y),u,w) = v5. (x * (y * K(z,u))) \ (x * y) = L(K(u,z),y,x). L(K(x,y),z,u) * (L(K(y,x),z,u) * w) = 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). K(x,y \ x) = K(x,L(y \ x,y,z)). K(x,L(y \ x,y,z)) = K(x,y \ x). L(K(x,y \ z),z,u) = K(x,(u * y) \ (u * z)). L(K(x,y \ (z \ u)),z \ u,z) = K(x,(z * y) \ u). L(K(x,(y \ z) \ u),u,y) = K(x,z \ (y * u)). K(x,y \ (z * x)) = K(x,(z \ y) \ x). K(x,(y \ z) \ x) = K(x,z \ (y * x)). K(x,L((y \ z) \ x,z / y,y)) = K(x,(y \ z) \ x). 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. L(K(x,L(y,z,u)),y,w) = K(x,L(y,z,u)). x != L(K((y \ z) \ u,w),u,y) | x = K(z \ (y * u),w). K((x \ y) \ z,L(z,u,w)) = K(y \ (x * z),L(z,u,w)). (x * (y * K(z,u))) * L(K(u,z),y,x) = x * y. (x * (y \ T(y * z,y))) \ (x * z) = L(K(y,y * z),z,x). (x * (K(y,z) * u)) \ (x * u) = L(K(z,T(y,u)),u,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). (x * y) * K(z,u \ (x * y)) = x * (y * K(z,(x \ u) \ y)). K(x,y \ (z * x)) != u | K(x,(z \ y) \ x) = u. 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 * 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 * T(z,u))) * L(K(u,z),y * z,x) = x * (y * z). (x * (K(y,z) * u)) * L(K(z,T(y,u)),u,x) = x * u. (x * y) \ (y * (x * T(K(x,y),z))) = K(y,x) * T(K(x,y),z). x != K(y,(z \ u) \ y) | x = K(y,u \ (z * y)). K(x,L((y \ z) \ x,z / y,y)) = K(x,z \ (y * x)). ((((x * (K(y,z) * u)) / (x * u)) \ 1) \ 1) \ (x * (K(y,z) * u)) = (x * (K(y,z) * u)) * ((L(K(z,T(y,u)),u,x) \ 1) \ 1). L(K(x,T(y,z)),z,L(y,u,w)) != v5 | K(x,T(y,L(y,u,w) * z)) = v5. L(K(x,y),z,u) \ K(x,w) = K(x,w) * (L(K(x,y),z,u) \ 1). K(x,y) * (L(K(x,z),u,w) \ 1) = L(K(x,z),u,w) \ K(x,y). T(x,L(y,x,z) \ 1) = x * K(x,y \ 1). T(x,L(y,x,z) \ 1) != u | T(x,y \ 1) = u. K(x * (y \ T(y * z,y)),L(K(y,y * z),z,x)) / ((x * z) / (x * (y \ T(y * z,y)))) = 1 / ((x * (y \ T(y * z,y))) \ (x * z)). (x * (y * T(z,u))) * K(u,L(z,y,x)) = x * (y * z). (x * (y * z)) * K(z,L(y,z,x)) = x * (z * y). (x * y) * K(z,x * y) = x * (y * K(z,(x \ 1) \ y)). x * (y * K(z,(x \ 1) \ y)) = (x * y) * K(z,x * y). K(x \ (y * z),(y \ 1) \ z) = K((y \ x) \ z,y * z). K(x \ y,(z \ 1) \ (z \ y)) = K((z \ x) \ (z \ y),z * (z \ y)). K((x \ y) \ (x \ z),x * (x \ z)) = K(y \ z,(x \ 1) \ (x \ z)). 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)). (x * y) \ (y * T(x,T(y,z))) = K(z,K(y,x)). (x * y) \ T(x * y,K(y,z)) = K(z,K(y,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)). 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,K(y,z)) \ 1 = K(z,K(x,y)). K(x,y) * K(x,K(y,z)) = T(K(x,y),z). x != K(L(y \ 1,z,u) \ 1,w) | x = L(K(y,w),z,u). K(K(L(x \ 1,y,z) \ 1,u),w) = L(K(x,K(u,w)),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). T(x,K(y,z)) * K(y,K(z,x)) = x. (K(x,K(y,z)) * u) / (K(x,y) \ u) = T(K(x,y),z). K(x,K(y,z)) != u | K(z,K(y,x)) = u. (x * K(y,z)) * K(y,K(z,u)) = x * T(K(y,z),u). K(x,K(y,y * z)) = K(x,K(y,z)). K(x,K(y,z)) = K(y,K(x,z)). 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)). 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)). x * K(y,K(x,z)) != u | T(x,K(y,z)) = u. K(x,K(y,z)) * y != u | T(y,K(x,z)) = u. (K(x,K(y,z)) * u) / (y \ u) = T(y,K(x,z)). K(x,y) * T(x,K(z,u)) = T(x,y) * K(z,K(x,u)). K(x,y) * K(y,K(z,x)) = T(K(x,y),z). (K(x,K(y,z)) * u) / (y \ u) != w | T(y,K(x,z)) = w. K(x,K(y,z)) * K(z,x) = K(z,T(x,y)). K(K(x,y),z) = K(z,K(x,y)). K(x,K(y,z)) * (z * K(y,x)) = K(y,x) * z. 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). K(L(K(x,y),z,u),w) = K(y,K(L(x \ 1,z,u) \ 1,w)). K(x,K(L(y \ 1,z,u) \ 1,w)) = K(L(K(y,x),z,u),w). x != K(y,K(z,u)) | x = K(z,K(y,u)). K(x,K(y,z)) = K(x,K(z,y)). T(x,K(y,z)) = K(y,K(z,x)) * x. K(x,K(y,z)) * z = T(z,K(x,y)). K(x,K(y,z)) * (z * u) = T(z,K(x,y)) * u. (K(x,K(y,z)) * u) / (y \ u) = T(y,K(z,x)). K(x,K(y,z)) * K(y,x) = K(y,T(x,z)). K(x,K(y,z)) * (K(z,u) * w) = K(z,u) * (K(z,K(x,y)) * w). L(K(x * y,x) * K(x,K(z * y,x * y)),y,z) = (z * (T(x * y,x) / T(x,y))) / (z * y). 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. x != K(y,K(z,u)) | x = K(y,K(z,u * z)). K(x,K(y,z)) = K(x,K(z,y * z)). K(x,K(y,z * y)) = K(x,K(z,y)). x * T(K(y,x),z) = T(x,K(z,y)) * K(y,x). T(x,K(y,z)) * K(z,x) = x * T(K(z,x),y). K(x,K(y,y * z)) = K(y,K(x,z)). 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(y * z,y) = K(y * z,T(y,x)). x * K(y,K(x,x * z)) = T(x,K(y,z * x)). K(x,K(y,z)) = K(x,K(y,x * z)). K(x,K(y,x * z)) = K(x,K(y,z)). x != K(y,K(z,u)) | x = K(z,K(u,y)). K(x,K(y,y \ z)) = K(y,K(z,x)). T(x,K(y,y \ z)) = x * K(x,K(y,z)). K(x,K(y,z)) = K(x,K(x \ y,z)). K(x,K(x \ y,z)) = K(x,K(y,z)). K(x \ y,x) * K(x,K(y,z)) = T(K(x \ y,x),z). K(x,K(y,z)) = K(x,K(x * y,z)). K(x,K(x * y,z)) = K(x,K(y,z)). K(x,K(x \ y,T(z,y))) = K(x,K(y,z)). K(x,K(y,z)) != u | K(y,K(z,x)) = u. K(x,K(y,y \ z)) != u | K(y,K(z,x)) = u. K(x,y) * K(x,K(y,z)) = K(x,T(y,z)). K(x,K(y,z)) * K(x * y,x) = K(x * y,T(x,z)). T(x,K(y,y \ z)) = T(x,K(y,z)). T(x,K(y,y \ z)) != u | T(x,K(y,z)) = u. K(x \ y,x) * (z / (x \ y)) = T(z / (y / x),K(x,y)). T(x,K(y,z)) = T(x,K(y,y * z)). T(x,K(y,y * z)) = T(x,K(y,z)). T(x * y,T(z,K(x,y))) = T(x * y,z). K(x,T(y,z)) != K(x,y) * u | K(x,K(y,z)) = u. K(x,y) * K(z,K(x,y)) = K(x,T(y,z)). (x * K(y,z)) / x = K(y,T(z,x)). T(K(x,T(y,z)),z) = K(x,y). K(x,T(y,z)) * z = z * K(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(T(y,z),z)) = K(x,y). K(T(x,y),T(z,y)) = K(x,z). K(x / y,z) = K(y \ x,T(z,x)). K(x \ y,T(z,y)) = K(y / x,z). T(K(x,y \ z),z) = K(x,(y / z) \ 1). T(T(K(x,y),z),z) = K(x,y). 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). 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)). 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(x,R(T(T(y,z),z),u,w)) = K(x,R(y,u,w)). K((x * y) / x,z) != u | K(y,T(z,x)) = u. K(T(x,y),z \ y) = K(x,y / z). K(L(T(x,y),z,u),T(w,y)) = K(L(x,z,u),w). K(T(x,y),y \ z) = K(x,z / y). K(T(x,y),z) = K(x,(T(y,z) * z) / T(y,z)). K(x,(T(y,z) * z) / T(y,z)) = K(T(x,y),z). K(T(x,y),T(z,x \ u)) = K(T(u / (u / x),y),z). K(T(x / (x / y),z),u) = K(T(y,z),T(u,y \ x)). K(x,T(y,z)) = K(x * K(z,x),y). K(x * K(y,x),z) = K(x,T(z,y)). K(T(x,y),z) = K(x,z * K(y,z)). K(x,y * K(z,y)) = K(T(x,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) * T(y,z) = T(y * K(T(x,z),y),z). T(x * K(T(y,z),x),z) = K(y,x) * T(x,z). (x * y) * K(x,z) = T(x,T(z,y)) * y. T(x,T(y,z)) * z = (x * z) * K(x,y). x * K(y,z) = K(T(y,x),z) * x. K(T(x,y),z) * y = y * K(x,z). K(x,T(y,z)) * (z * K(y,x)) = z. (x * K(y,z)) / x = T(K(y,z),x). 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). L(T(K(x,y),z),u,w) \ (z * L(K(x,y),u,w)) = z. T(x,K(y,z)) * K(y,z) = K(y,z) * x. K(x * y,y * K(y \ 1,x)) = K(y \ 1,T(x,y)). R(T(K(x,T(y,z)),z * u),z,u) != w | (z * u) \ ((z * K(x,y)) * u) = w. T(x,T(y,z)) * (x \ z) = z * K(x,y). x * y != y * K(z,u \ y) | x = K(z,y / u). K(x,T(y \ z,z)) = K(x,z / y). x * (y * K(x,z)) = T(x,T(z,y)) * y. T(x,T(y,z)) * z = x * (z * K(x,y)). (x * K(y,z)) / (y \ x) != u | T(y,T(z,x)) = u. K(x \ y,z) * y = y * K(y / x,z). K(x \ (y * z),T(y,z)) = K((y * z) / x,y). K(x,T(y,z)) = K(z / (z / x),y). K(x / (x / y),z) = K(y,T(z,x)). K(x / (x / y),z) != u | K(y,T(z,x)) = u. K(x / y,x / z) != u | K(y \ x,z \ x) = u. x != K(y,T(z * K(u,w),z)) | x = K(y,K(u,w) * z). K(x / y,y * K(z,u)) = K(y \ x,K(z,u) * y). K(a(x,y,z),T(u,x * (y * z))) = K(((x * y) * z) / (x * (y * z)),u). K(((x * y) * z) / (x * (y * z)),u) = K(a(x,y,z),T(u,x * (y * z))). x != K(y,R(z,u,w)) | x = R(z,u,w) \ R(z * K(y,z),u,w). K(x,T(R(y,z,u),w)) = R(y,z,u) \ R(y * K((w * x) / w,y),z,u). R(x,y,z) \ R(x * K((u * w) / u,x),y,z) = K(w,T(R(x,y,z),u)). K(x * T(x \ y,y),z) = K(y,T(z,x \ y)). K(x \ T(x * y,y),z) = K(y,T(z,x * y)). T((x * y) / x,z) = ((x * y) / x) * K(y,T(z,x)). ((x * y) / x) * K(y,T(z,x)) = T((x * y) / x,z). K(R(x * K(y,x),z,u),w) = K(R(x,z,u),T(w,y)). L(K(x,T(y \ z,u)),y \ z,y) = K((u * x) / u,(z \ y) \ 1). K(x,T(T(y,z),z)) != u | K(x,y) = u. x != K(R(y,z,u),T(w,v5)) | x = K(R(T(y,v5),z,u),w). K(R(x,y,z),u / w) = K(R(T(x,w),y,z),w \ u). K(R(T(x,y),z,u),y \ w) = K(R(x,z,u),w / y). K(x,(y * z) / y) != u | K(T(x,y),z) = u. K(T(x \ 1,y),z \ (x * y)) = K(x \ 1,(x * y) / z). K(T(x,x \ y),z \ (y * (x \ 1))) = K(x,(y * (x \ 1)) / z). K(x,(x \ y) / z) != u | K(T(x,y),z \ (x \ y)) = u. K(T(x,x \ y),((x \ 1) * y) \ z) = K(x,z / ((x \ 1) * y)). K(R(x,y,R(T(x,y),z,u)),w) = K(T(x,y),T(w,R(x,z,u) * y)). K(T(x,y),T(z,R(x,u,w) * y)) = K(R(x,y,R(T(x,y),u,w)),z). K(x,y * K(z * y,y)) = K(T(x,y * z),y). T(x,y * K(T(y,z),u)) = T(x,T(y,u * K(z,u))). T(x,T(y,z * K(u,z))) = T(x,y * K(T(y,u),z)). x / (K(T(y,z),x) * K(x * K(z,x),z)) = T(x * K(z,x),y). T(x,T(T(y,z),z)) = T(x,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,y) * T(x,z) = T(T(x,y),T(z,y)). T(T(x,y),T(z,y)) = K(x,y) * T(x,z). K(x,T(y,z)) * (z * x) = z * T(x,y). K(K(x,y) * z,u) * z = z * K(z * K(x,y),u). T(K(x,y),z) != K(x,y) * u | K(z,K(x,y)) = u. K(x / (x / y),T(z,u)) = K(y,T(T(z,x),u)). K(x \ y,T(z,y)) != u | K(y / x,z) = u. K(T(x,y),T(z,y)) != u | K(x,z) = u. K(x \ y,T(z,x)) != u | K(y / x,z) = u. K(x,T(y,R(T(x,z),u,w))) != v5 | K(x,y) = v5. K(x * y,T(z,y * x)) != u | K(x * y,z) = u. K(R(T(x,y),z,u),T(w,y)) != v5 | K(R(x,z,u),w) = v5. K(x / y,T(z,x)) != u | K(y \ x,z) = u. K(T(x,y),T(T(z,y),u)) != w | K(x,T(z,u)) = w. K(L(T(x,y),z,u),T(w,y)) != v5 | K(L(x,z,u),w) = v5. K(T(x,y),L(T(z,y),u,w)) != v5 | K(x,L(z,u,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(R(x \ y,z,u),T(w,x)) != v5 | K(R(y / x,z,u),w) = v5. K(T(x,y),z \ y) != u | K(x,y / z) = u. T(K(x,y \ 1),z) = K(x,((z * y) / z) \ 1). K(x,((y * z) / y) \ 1) = T(K(x,z \ 1),y). (K(x,y) * z) * K(y,x) = T(z,K(x,y)). x != K(y,z) * (K(u,y) * w) | x = K(u,y) * (K(y,z) * w). T(K(x,y) * z,K(y,u)) * K(y,u) = K(x,y) * (K(y,u) * z). K(x,y) * z != K(x,y) * u | T(T(u,K(x,y)),K(x,y)) = z. T(T(x,K(y,z)),K(y,z)) = x. x * K(y,z) != K(y,z) * u | x = T(u,K(z,y)). T(x,K(y,z)) = T(x,K(z,y)). x \ T(K(y,z) * x,u) = T(x * K(y,z),u) / x. T(x * K(y,z),u) / x = x \ T(K(y,z) * x,u). 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,y) * (z * K(y,x)) = T(z,K(x,y)). T(K(x,y) * z,K(y,x)) != u | z * K(x,y) = u. L(T(x,y),z,u) * (L(x,z,u) \ x) = x * K(L(x,z,u),y). T(x * y,z) * ((x * y) \ K(x,y)) = K(x,y) * K(x * y,z). x != T(y,T(z,u)) * u | x = (y * u) * K(y,z). x * (y * K(x,z)) = (x * y) * K(x,z). (x * y) * K(x,z) = x * (y * K(x,z)). T(x,T(y,z)) * y = x * (y * K(x,T(y,z))). x * (y * K(x,T(y,z))) = T(x,T(y,z)) * y. K(x \ y,z) \ (y * K(y / x,z)) != u | u = y. x \ T(x * K(x / y,z),x) = K(x / y,z) * K(K(y \ x,z) * x,x). K(x / y,z) * K(K(y \ x,z) * x,x) = x \ T(x * K(x / y,z),x). (T(x * K(y \ x,z),x) / x) \ (x * K(x / y,z)) = L(x,K(y \ x,z),x). x * (K(y,x) * T(y,z)) = T(y,T(z,x)) * x. 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) * (z * x) = z * T(x,y). 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) * (K(z,x) * (u * K(y,x))) = K(z,x) * T(u,K(x,y)). R(x,y,K(x,z)) = x. (x * y) * z != x * (y * K(u,(x \ w) \ y)) | z = K(u,w \ (x * y)). K(x,(x \ y) \ z) = K(x,y \ (x * z)). (x * y) * z != x * (y * K(u,(x \ 1) \ y)) | z = K(u,x * y). K(x,(x \ 1) \ y) = K(x,x * y). x * (y * K(x,z)) != (x * y) * u | K(x,z) = u. (x * y) * z != x * (y * K(x,u)) | K(x,u) = 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). 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)). R(x,y,z) * (u * K(x,w)) = (R(x,y,z) * u) * K(x,w). (R(x,y,z) * u) * K(x,w) = R(x,y,z) * (u * K(x,w)). R(x * y,K(x,z),K(y * K(x,z),x)) \ ((y * K(x,z)) * R(x,y,K(x,z))) = K(x,z) * K(y * K(x,z),R(x,y,K(x,z))). R(x,y,K(T(x,z),u)) = x. x * (y * K(T(x,z),u)) = (x * y) * K(T(x,z),u). (x * y) * K(T(x,z),u) = x * (y * K(T(x,z),u)). x != R(T(y,z * K(y,u)),z,K(y,u)) | x = T(y,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). T(x,y) = T(x,y * K(z,x)). T(x,y * K(z,x)) = T(x,y). 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,y * (x * z)) = T(x,y * (z * x)). T(x,y * (z * x)) = T(x,y * (x * z)). K((x * K(y,z)) \ u,T(y,x)) = K(u / (x * K(y,z)),y). T(x,y \ T(z,x)) = T(x,y \ z). T((x \ y) * x,z * K(u,y)) = (x \ T(y,z)) * x. T(x,T(y,x) * z) = T(x,y * z). K(T(x,y),(y * K(z,x)) \ u) = K(x,u / (y * K(z,x))). T(x,T(x,y) * z) = T(x,x * z). T(x,y) * K(z,T(x,K(x,u) * y)) = T(x * K(z,x),K(x,u) * y). L(x,y \ (K(z,y) * u),T(y,u)) = L(x,y \ (K(z,y) * u),y). x != y \ T(y,z) | x = K(y,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(z,x)) = K(x,y). K(x,y) = K(x,y * K(z,x)). K(x,y * K(z,x)) = K(x,y). K(x,y * z) = K(x,y * T(z,x)). K(x,y * T(z,x)) = K(x,y * z). K(x,K(x,y) * z) = K(x,z). 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). x != K(y,(z \ u) / u) | x = K(y,z \ 1). K(x,y \ K(z,x)) = K(x,y \ 1). 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,w) = K(x,R(y * K(z,x),u,w)). T(K(x,y) * z,K(x,z)) = K(x,y) * z. K(x,x \ y) = K(x,T(x,z) \ y). K(x,T(x,y) \ z) = K(x,x \ 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). T(x,y \ (x \ z)) = T(x,y \ (z / x)). T(x,y \ (z / x)) = T(x,y \ (x \ z)). R(T(x,y * z),T(y,x),z) = (T(y,x) * z) \ ((y * x) * z). (T(x,y) * z) \ ((x * y) * z) = R(T(y,x * z),T(x,y),z). K((T(x,y) * z) \ u,T(x,x * z)) = K(u / (T(x,y) * z),x). (x * (y \ T(y * T(z,y),y))) \ (x * T(z,y)) = L(K(y,y * z),T(z,y),x). x != 1 / K(y,z) | x = K(z,y). K(x * K(y,z),z) = K(x,z). K(x * K(y,z),z) != u | K(x,z) = u. K(x * T(y,z),z) = K(x * y,z). K(x,y) = K(x * K(y,z),y). K(x * K(y,z),y) = K(x,y). K(x * y,y) = K(x * T(y,z),y). K(x * T(y,z),y) = K(x * y,y). K(x * K(y,T(z,u)),z) = K(x,z). 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). K(K(x,y) * z,y) = K(z,y). K(x * L(K(y,z),u,w),y) = K(x,y). K(x \ y,x) = K(T(x,z) \ y,x). K(T(x,y) \ z,x) = K(x \ z,x). K(R(K(x,y),z,u) * w,x) = K(w,x). L(K(x,y),K(y,z) * x,u) = K(K(y,z) * x,y). K(K(x,y) * z,x) != u | K(z,x) = u. K(K(x,y) * z,T(y,u)) = K(z,T(y,u)). K(x / y,(y \ x) \ z) = K(x / y,(x / y) \ z). K(x / y,(x / y) \ z) = K(x / y,(y \ x) \ z). K(x * K(y \ z,u),z) = K(x * K(z / y,u),z). K(x * K(y / z,u),y) = K(x * K(z \ y,u),y). T(T(x * K(y * T(x,z),x),u),y) = R(T(x,u),y,x). K(T(x,T(y,z)) * u,y) = K(x * u,y). x * K(T(y,z) \ x,y) = (y \ x) * y. T(x * K(x \ y,x),z) \ y = y / T(x,z). K(x,K(x,y) * z) != u | K(x,z) = u. K(x,y / (x \ z)) != u | K(x,y / (z / x)) = u. K(x \ T(y,z),z) != u | K(x \ y,z) = u. K(x * (y * K(z,u)),z) = K(x * y,z). K(x * y,z) = K(x * (y * K(u,z)),z). K(x * (y * K(z,u)),u) = K(x * y,u). K((K(x,y) * z) * u,x) = K(z * u,x). K(R(K(x,y),z,u) * w,T(x,v5)) = K(w,T(x,v5)). K((x \ y) \ z,x) != u | K((y / x) \ z,x) = u. K(x,(x \ y) \ z) != u | K(x,(y / x) \ z) = u. ((x / y) * T(y,z)) / (y \ x) = T(y,T(z,x / y)). (x * ((y \ z) \ z)) / T(x,y) = T(y,T(y \ z,x)). K(x,y) * (z * x) = T(z,K(x,y)) * T(x,y). T(x,K(y,z)) * T(y,z) = K(y,z) * (x * y). L(K(x,y \ (x * (z \ u))),z \ u,z) = K(x,(z * (x \ y)) \ u). x != K(K(y,z),u) | x = K(y,K(z,u)). K(x,K(K(x,y) * z,u)) = K(x,K(z,u)). x != K(y * (z \ 1),z) | x = K(z \ y,z). K(T(x,y) \ 1,T(x,y)) = K(T(x,y) \ K(z,x),T(x,y)). K(T(x,y) \ K(z,x),T(x,y)) = K(T(x,y) \ 1,T(x,y)). 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,T(z,u)) = K(T(x,z) \ y,T(z,u)). K(T(x,y) \ z,T(y,u)) = K(x \ z,T(y,u)). 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)). T(x,y) * T(T(x,y) \ z,x) = (x \ z) * x. K(x * (K(y,z) * u),y) = K(x * u,y). K(x * (y \ T(z,u)),u) = K(x * (y \ z),u). K(x * y,x) = K((z / (z / x)) * y,x). K((x / (x / y)) * z,y) = K(y * z,y). K(K(x,y) * z,K(x,u)) = K(x,K(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). 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). K(K(x,y) * z,K(x,u)) = K(z,K(x,u)). 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)). x * (y * K(z,u)) = (x * (K(z,u) * y)) * K(y,K(z,u)). (x * (K(y,z) * u)) * K(u,K(y,z)) = x * (u * K(y,z)). K(x,K(y,K(z,x) * u)) = K(u,K(x,y)). x != K(K(y,z) * u,K(y,w)) | x = K(y,K(u,w)). K(K(x,y) * (K(y,z) * u),K(y,w)) = K(y,K(u,w)). K(x,K(y,K(z,x) * u)) = K(x,K(y,u)). K(x,K(y,x * z)) = K(x,K(y,T(x,u) * z)). K(x,K(y,T(x,z) * u)) = K(x,K(y,x * u)). K(x,K(x \ y,z)) != u | K(x,K(y,z)) = u. K(x * K(y,x),z) != u | K(x,T(z,y)) = u. K(T(x * K(y,x),z),u) != w | K(T(x,z),T(u,y)) = w. 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,y * K(z,y)) != u | K(T(x,z),y) = u. K(x,T(y,z)) != u | K(z / (z / x),y) = u. K(x \ (K(y,z) * u),T(y,u)) != w | K((K(y,z) * u) / x,y) = w. K(T(x,y \ 1),(1 / y) \ z) != u | K(x,z / (1 / y)) = u. K(T(x,y),(x \ y) \ z) != u | K(x,z / (x \ y)) = u. K(x,T(y \ z,z)) != u | K(x,z / y) = u. K(x \ (y \ (z * y)),y) != u | K(x \ z,y) = u. K(x,K(y,z)) * (z / K(x,y)) = K(y,x) * z. K(x,K(y,z)) * (T(z,y) * K(x \ y,x)) = K(x \ y,x) * T(z,y). K(x,K(y,z)) * (T(z,y) * u) = T(T(z,y),K(x,y)) * u. 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,K(y,x * z)) * K(y,z * x) = K(y,z * x) * x. K(x,R(T(y,z),u,w)) = K(x,R(y * K(z,y),u,w)). K(x,R(y * K(z,y),u,w)) = K(x,R(T(y,z),u,w)). x != K(L(y,z / y,u),w) | x = L(K(y,w),z,u). K(L(x,y / T(x,z),u),w) = L(K(T(x,z),T(w,z)),y,u). L(K(T(x,y),T(z,y)),u,w) = K(L(x,u / T(x,y),w),z). K(T(x,L(x,y,z) * u),T(w,u)) = K(L(x,u,L(x,y,z)),w). K(T(x,T(y,z)),z) = K(T(x,y),z). K(R(T(x,T(y,z)),u,w),z) = K(T(R(x,u,w),y),z). (x * (K(y,z) * T(z,u))) / x = T((x * (z * K(T(y,u),z))) / x,u). T((x * (y * K(T(z,u),y))) / x,u) = (x * (K(z,y) * T(y,u))) / x. K(K(x,y) * T(y,z),T(u,z)) = K(y * K(T(x,z),y),u). T((x * K(y,x)) * K(T(T(z,u),y),x),u) = K(z,x * K(y,x)) * T(x * K(y,x),u). K(x \ (y * z),T(y,z)) != u | K((x / z) \ y,y) = u. K(T(x * K(y \ x,x),x),z) = K(x,T(z,T(y,x) \ x)). T(x * y,y) / (T(x * y,y) / x) = x * K(y,T(x,x * y)). K(T(x,y * z),z) = K(T(x,z * y),z). K(R(T(x,y * z),u,w),z) = K(T(R(x,u,w),z * y),z). R(K(x,T(T(y,z),z * u)),z,u) = K(((z / x) * u) \ (z * u),y). K(x,y \ K(y,z)) = T(K(x,y \ 1),z). T(K(x,y \ 1),z) = K(x,y \ K(y,z)). x * T(T(y,z),T(x,z)) = T(y,T(z,x)) * x. K(K(x,y) * (z * x),u) != w | K(z * T(x,y),T(u,K(x,y))) = w. (x * (y * T(x,z))) \ ((x * y) * T(x,z)) = a(x,y * K(x,z),x). T(x / (x / y),z) \ x = x / T(y,z). T(x / y,z) \ x = x / T(y \ x,z). x / T(y \ x,z) = T(x / y,z) \ x. x / (x / T(y,z)) = T(x / (x / y),z). T(x * (y / x),z) \ T(y,u) = T(y,u) / T(x * (y / x),z). T(x,y) / T(z * (x / z),u) = T(z * (x / z),u) \ T(x,y). (T(x / y,z) \ x) \ x = T(y \ x,z). K(T(x / (x / y),z),u) != w | K(T(y,z),T(u,x)) = w. (T(x,y) \ z) \ z = T((x \ z) \ z,y). x != T((y \ z) \ z,u) | x = T(T(y,u),y \ z). (T(x,y) \ z) \ z = T(T(x,y),x \ z). T(T(x,y),x \ z) = (T(x,y) \ z) \ z. K(T(T(x,y),x \ 1),z) != u | K(T(x,y),z) = u. T(x,y) * z != K(x,y) * (u * x) | T(T(u,K(x,y)),T(x,y)) = z. T(T(x,K(y,z)),T(y,z)) = T(x,y). T(x,T(y,z)) = T(T(x,K(y,z)),y). T(T(x,K(y,z)),y) = T(x,T(y,z)). T(x,K(y,z)) = T(x * K(y,x),T(y,z)). T(x * K(y,x),T(y,z)) = T(x,K(y,z)). T(T(x,y),K(y,z)) = T(x,T(y,z)). T(x * K(y,x),T(y,z)) != u | T(x,K(y,z)) = u. T(T(x,y),K(z,y)) = T(x,T(y,z)). K(x,T(y,T(z,x))) = K(x,T(y,z)). 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)). T(T(x,K(y,z)),y) != u | T(x,T(y,z)) = u. T(T(x,y),K(y,z)) != u | T(x,T(y,z)) = u. K(T(x,y) \ z,T(y,x)) != u | K(z / x,y) = u. T(x,y) * T(y,z) = (y \ (x * T(y,z))) * y. (x \ (y * T(x,z))) * x = T(y,x) * T(x,z). x != K(y,K(z,y * u)) | x = K(y,K(z,u)). K(x,K(y,T(x,z) * u)) = K(x,K(y,u)). K(x,K(y,z)) * (T(x,u) * z) = T(T(x,u) * z,K(x,y)). 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)). x * T(y,T(x,z)) = T(y * K(z,y),T(z,x)) * x. T(x * K(y,x),T(y,z)) * z = z * T(x,T(z,y)). K(x,y) * T(K(x,y) \ z,y) = T(z,y). x * y != z * T(y,u) | x = z * K(y,u). x \ (y * T(x,z)) = T(y,x) * K(x,z). T(x / y,z) * y = K(u,z) * (y * T(y \ (K(u,z) \ x),z)). K(x,y) * (z * T(z \ (K(x,y) \ u),y)) = T(u / z,y) * z. K(x,y) * T(z,x) = T(K(x,y) * z,x). T(K(x,y) * z,x) = K(x,y) * T(z,x). T(x * K(y,z),y) = T(x,y) * K(y,z). x != y * T(y \ ((z \ 1) \ y),u) | x = K(z,u) * ((z \ 1) \ y). T(K(x,y) * (K(x,y) \ ((z \ 1) \ K(x,y))),x) = K(z,x) * ((z \ 1) \ K(x,y)). x * y != K(z,u) * T(w,z) | x \ T(K(z,u) * w,z) = y. x \ T(K(y,z) * (K(y,z) \ (x * u)),y) = (x \ K(y,z)) * T((x \ K(y,z)) \ u,y). T(K(x,y) * T(z,u),x) = K(x,y) * T(T(z,x),u). T(K(x,y) * K(z,u),x) != w | K(x,y) * K(z,T(u,x)) = w. 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). ((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 \ T(y * (x / y),y) = K(x,y) * K(y,y \ x). x * K(y * z,y) = T(K(y * z,y) * x,K(y,z)). T(K(x * y,x) * z,K(x,y)) = z * K(x * y,x). x != L(K(y,z),u * y,w) | x = K(L(y,u,w),z). 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(K(R(x,y,z),u) * w,T(x,v5)) = K(w,T(x,v5)). K(x,(y / x) \ z) = K(x,y \ (x * z)). K(x \ y,z) = K(x \ (z \ (y * z)),z). K(x \ (y \ (z * y)),y) = K(x \ z,y). R((K(x,K(y,(y * x) * z)) * u) / (K(x,y) \ u),y * x,z) = ((y * x) * z) \ ((x * y) * 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 * T(K(x \ y,x),z) = T(x,K(y,z)) * K(x \ y,x). T(x,K(y,z)) * K(x \ y,x) = x * T(K(x \ y,x),z). K(x * y,x) * K(x,K(y,z)) = K(x * y,T(x,z)). x * y != (z * (u * K(w,v5))) * L(K(v5,w),u,z) | (z * u) / y = x. (x * y) / (x * (y * K(z,u))) = L(T(K(u,z),x * (y * K(z,u))),y,x). L(T(K(x,y),z * (u * K(y,x))),u,z) = (z * u) / (z * (u * K(y,x))). T(T(x,L(K(y,z),u,w)),L(K(y,z),u,w)) = x. x * K(L(K(y,z),u,w),x) != v5 | T(x,L(K(y,z),u,w)) = v5. x != K(y \ 1,T(z,y)) | x = K(y \ 1,z). K(x * y,y * K(y \ 1,x)) = K(y \ 1,x). x != K(y / z,u) | x = K((z / y) \ 1,u). K(x \ y,K(z,u) * x) = K((x / y) \ 1,x * K(z,u)). K((x / y) \ 1,x * K(z,u)) = K(x \ y,K(z,u) * x). K(x,y) * T(y,T(z,x)) = T((x * y) / x,z). K(x,y) * T((y * x) / y,z) = T(x,T(z,y)). K(x,y) * T(x * K(y,x),z) = T(x,T(z,y)). K(x,y) \ T(x,T(z,y)) = T(x * K(y,x),z). K(x,y) * T(x * K(y,x),z \ 1) = T(x,T((u * z) \ u,y)). T(x,T((y * z) \ y,u)) = K(x,u) * T(x * K(u,x),z \ 1). K(x,y) * T(x * K(y,x),z) != u | u = T(x,T(z,y)). K(x,y) * T(x * K(y,x),z) != u | T(x,T(z,y)) = u. K(R(x / (x / y),z,u),w) = K(R(y,z,u),T(w,y \ x)). K(R(T(x,T(y,z)),u,w),R(z,y,z)) = K(R(x,u,w),T(y * z,z) / T(y,z)). K(R(x,y,z),T(u * w,w) / T(u,w)) = K(R(T(x,T(u,w)),y,z),R(w,u,w)). K(T(x,y * K(z,y)),u) = u / T(u,x * K(T(x,z),y)). x * y != y * K(z,y \ u) | x = K(z,(y / u) \ 1). K(K(x,y) * z,z \ u) = K(z * K(x,y),(z / u) \ 1). K(x * K(y,z),(x / u) \ 1) = K(K(y,z) * x,x \ u). K(T(x,y),(x \ z) \ u) = K(T(x,y),z \ (x * u)). T((x \ y) * x,z * K(u,y)) = T((x \ y) * x,z). x * K(y / z,(z \ y) \ x) = (y / z) * (x / (y / z)). x * (K(x / y,z) * K(x * K(y \ x,z),x)) = T(x * K(x / y,z),x). (x * K(y,z)) / (y \ x) = T(y,T(z,x / y)). T(x,T(y,z)) = T(x,T(y,z / x)). T(x,T(y,z / x)) = T(x,T(y,z)). x != T(y,T(z,u / y)) | x = T(y,T(z,y \ u)). T(x,T(y,z)) = T(x,T(y,x \ z)). T(x,T(y,x \ z)) = T(x,T(y,z)). T(x,T(y,z)) = T(x,T(y,z * x)). 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)). T(x * y,T(z,y \ 1)) = T(x * y,T(z,x)). T(x,(y * x) \ z) = T(x,T(z / (y * x),y)). T(x,T(y / (z * x),z)) = T(x,(z * x) \ y). T(x / y,x) = T(x / y,T(x,y)). T(x / y,T(x,y)) = T(x / y,x). T(x * K(y,x),T(y * x,y)) = T((y * x) / y,y * x). T(x \ y,y) = T(x \ y,T(y,x)). T(x \ y,T(y,x)) = T(x \ y,y). R(x \ y,z,u) \ R(T(x \ y,y),z,u) = K(R(x \ y,z,u),T(y,x)). (x * y) \ ((z * T(z \ x,x)) * y) = K(((x * y) \ (z * y)) \ 1,T(x,z)). K(((x * y) \ (z * y)) \ 1,T(x,z)) = (x * y) \ ((z * T(z \ x,x)) * y). (T(x,T(x \ y,z)) * z) \ (z * ((x \ y) \ y)) = K(z,x). x != K(y,R(z * K(u,z),u,w)) | x = ((u * z) * w) / ((u * T(z,y)) * w). K(x,R(T(y,z),z,u)) = ((z * y) * u) / ((z * T(y,x)) * u). ((x * y) * z) / ((x * T(y,u)) * z) = K(u,R(T(y,x),x,z)). K(R(T(x,T(y,z)),u,w),z) = K(R(T(x,y),u,w),z). x * y != y * T(z,u) | x = T(z * K(y,z),u). T(x * K(y,x),T(y,z)) = T(x * K(z,x),T(z,y)). x != K(y,z) * T(T(z,y),u) | x = z * K(T(z,y),u). T(K(x,y) * T(y,z),x) = y * K(T(y,x),z). K(x * K(T(x,y),z),T(u,y)) = K(K(y,x) * T(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) = K((x * K(u,z)) \ y,z). K((x * K(y,z)) \ u,z) = K(x \ u,z). K(x \ y,z) = K((K(u,z) * x) \ y,z). K((K(x,y) * z) \ u,y) = K(z \ u,y). K((x * K(y,z)) \ u,T(y,w)) = K(x \ u,T(y,w)). (x * K(y \ z,u)) \ x = K(u,(y * K(w,u)) \ z). K(x,(y * K(z,x)) \ u) = (w * K(y \ u,x)) \ w. K((x * L(K(y,z),u,w)) \ v5,z) = K(x \ v5,z). K(T(x,T(y,z)) \ u,y) = K(x \ u,y). K(x \ K(y,z),y) = K(x \ 1,y). K(L(x \ y,x,K(z,u)),u) = K(x \ (K(z,u) * y),u). 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). K((x * y) \ z,u) = K((x * (y * K(u,w))) \ z,u). K((x * (y * K(z,u))) \ w,z) = K((x * y) \ w,z). T((x \ y) * x,z \ T(u,y)) = T((x \ y) * x,z \ u). x * T(y * K(z,y),T(z,x)) = T(x,y) * T(y,T(x,z)). x != (y * K(z,u)) \ y | x = K(u,z). K(x,(y * K(z,x)) \ u) = K(x,y \ u). K(x,(y * K(z,x)) \ u) != w | K(x,y \ u) = w. K(x,y \ z) = K(x,(K(x,u) * y) \ z). K(x,(K(x,y) * z) \ u) = K(x,z \ u). T(x,(K(x,y) * z) \ u) = x * K(x,z \ u). 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). K(T(x,y),(z * K(u,x)) \ w) != v5 | K(T(x,y),z \ w) = v5. K(x,(y * (x \ z)) \ u) != w | K(x,(y * (z / x)) \ u) = w. T(x,(y * (z * K(x,u))) \ w) = 1 / (x \ K((y * z) \ w,x)). K(x,L(y,z / T(y,u),w)) = L(K(T(x,u),T(y,u)),z,w). L(K(T(x,y),T(z,y)),u,w) = K(x,L(z,u / T(z,y),w)). x != T(T(y * K(z * T(y,u),y),w),z) | x = R(T(y,w),z,T(y,u)). 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). x * R(T(y,z),x,y) = T(T(y,z) * x,T(y,z)). T(T(x,y) * z,T(x,y)) = z * R(T(x,y),z,x). T(T(T(x,y),z) * T(y,x),T(T(x,y),z)) = T(y,x) * R(T(T(x,y),z),y,x). K(x,y / (x \ z)) = K(T(x,z),z \ (x * y)). K(T(x,y),y \ (x * z)) = K(x,z / (x \ y)). K(x,(x * y) / z) = K(x,y / (x \ z)). 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 \ y) / (x \ z)). K(x,(x \ y) / (x \ z)) = K(x,y / z). K(x,y / z) = K(x,((x * z) / y) \ x). K(x,((x * y) / z) \ x) = K(x,z / y). K(x,(x \ y) / (z / x)) = K(x,y / z). K(x,((y \ (x * z)) \ (x * z)) \ x) = K(x,T(y \ (x * z),y) / z). K(x,(T((x * y) / z,u) \ (x * y)) \ x) = K(x,T(z \ (x * y),u) / y). K(x,(x \ y) / z) = K(x,y / (z * x)). K(T(x,y),z \ (x \ y)) = K(x,y / (z * x)). (x * K(y,z / (u * y))) \ x = K((y \ z) / u,y). K((x \ y) / z,x) != u | K(y / (z * x),x) = u. K(T(x,y),T(z,u)) = K(T(x,y),T(z,x \ u)). K(T(x,y),T(z,x \ u)) = K(T(x,y),T(z,u)). K(T(x,y),T(z,u)) = K(T(x,y),T(z,x * u)). K(T(x,y),T(z,x * u)) = K(T(x,y),T(z,u)). 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). 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). 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)). R(K(x,K(y,z \ 1)),u,w) = K(x,K(y,R(z,u,w) \ 1)). K(x,L(K(y,z),u,w)) = K(L(K(y,x),u,w),z). K(L(K(x,y),z,u),w) = K(y,L(K(x,w),z,u)). K(T((x \ 1) \ 1,T(y,x)),z \ ((T(x,y) \ 1) * y)) = K((x \ 1) \ 1,((x \ 1) * T(y,x)) / z). 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). K(L(x,y,x),z) = K(x,z). K(x,y) = K(R(x,z,x),y). K(R(x,y,x),z) = K(x,z). K(x,y) * L(x,z,x) = L(T(x,y),z,x). K(x,y) = R(K(x,y),z,x). R(K(x,y),z,x) = K(x,y). K((x \ y) \ T(y,x),z) = K(x,z). 1 / K(x,y) = K(y,R(x,z,x)). K(x,R(y,z,y)) = 1 / K(y,x). T(x,y) = x * K(R(x,z,x),y). x * K(R(x,y,x),z) = T(x,z). T(R(x,y,x),z) = K(x,z) * R(x,y,x). K(x,y) * R(x,z,x) = T(R(x,z,x),y). x != K(y,z) | x = K(y,z * K(u,y)). R(K(x,y),z,x) = K(x,y * K(u,x)). K(x,y) = K(x,R(y,z,x)). K(x,R(y,z,x)) = K(x,y). K(x,y) * (z * x) = (K(x,y) * z) * x. (K(x,y) * z) * x = K(x,y) * (z * x). T(x,R(y,z,x)) = x * K(x,y). K(x,y) * ((y * z) * x) = (y * (K(x,y) * z)) * x. (x * (K(y,x) * z)) * y = K(y,x) * ((x * z) * y). K(x,R(y,z,y)) = K(x,y). K(x,R(y,z,y)) != u | K(x,y) = u. K(x,R(T(y,z),u,y)) = K(x,T(y,z)). T(x,R(y,z,x)) = T(x,y). T(x,T(y / (z * x),z)) = T(x,z \ (y / x)). K(x,y * K(z,x)) != u | u = K(x,y). K(x,y * K(z,x)) != u | K(x,y) = u. K(x,T(R(y,z,y),u)) = K(x,T(y,u)). K(x,y * T(z,x)) != u | K(x,y * z) = u. K(x,y \ T(z,x)) != u | K(x,y \ z) = 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)). K(x,y) * L(T(y,x),z,y) = L(y,z,y). K(x,y) * R(x,z,x) = R(T(x,y),z,x). L(x,y,K(x,z)) = x. (K(x,y) * (z * x)) \ (K(x,y) * z) != u | L(x \ 1,x,K(x,y) * z) = u. T(x / (y / z),K(z,y)) * (z \ y) = K(z \ y,z) * ((x / (z \ y)) * (z \ y)). K(x \ y,x) * ((z / (x \ y)) * (x \ y)) = T(z / (y / x),K(x,y)) * (x \ y). R(x,y,z) = L(R(x,y,z),u,K(x,w)). L(R(x,y,z),u,K(x,w)) = R(x,y,z). L(x,y,z) = L(L(x,y,z),u,K(x,w)). L(L(x,y,z),u,K(x,w)) = L(x,y,z). (K(x,y) * z) * R(x,u,w) = K(x,y) * (z * R(x,u,w)). (K(x,y) * z) * L(x,u,w) = K(x,y) * (z * L(x,u,w)). K(x,y) = L(K(x,y),z,K(x,u)). L(K(x,y),z,K(x,u)) = K(x,y). K(x,y) = L(K(x,y),z,K(y,u)). L(K(x,y),z,K(y,u)) = K(x,y). L(T(K(x,y),z),u,K(x,w)) = T(K(x,y),z). R(K(x,y),z,u) = L(R(K(x,y),z,u),w,K(x,v5)). L(R(K(x,y),z,u),w,K(x,v5)) = R(K(x,y),z,u). (K(x,y) * z) * K(x,u) = K(x,y) * (z * K(x,u)). (K(x,y) * z) * K(u,x) = K(x,y) * (z * K(u,x)). x != L(R(y,z,y),z,u) | x = (u * z) \ (u * T(y * z,y)). R(x,y,x) = (K(x,z) * y) \ (K(x,z) * T(x * y,x)). (K(x,y) * z) \ (K(x,y) * T(x * z,x)) = R(x,z,x). L(x,y,T(x,z)) = L(x,y,x). L(x,y,K(z,x)) = x. (x * K(y,z)) * z = K(y,z) * (T(x,K(y,z)) * z). K(x,y) * (T(z,K(x,y)) * y) = (z * K(x,y)) * y. K(x,y) = L(K(x,y),z,K(u,y)). L(K(x,y),z,K(u,y)) = K(x,y). L(T(x,y),z,T(x,u)) = T(L(x,z,x),y). L(x * K(y,x),z,x) = L(x * K(y,x),z,x * K(y,x)). L(x * K(y,x),z,x * K(y,x)) = L(x * K(y,x),z,x). 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)). x != K(L(y \ z,y,K(u,w)),w) | x = K(y \ (K(u,w) * z),w). K(x \ y,z) = K(x \ (K(u,z) * y),z). K(x \ (K(y,z) * u),z) = K(x \ u,z). T(x,L(y,z,K(u,x))) = (K(y,x) / x) \ 1. x / L(y,z,y) = (x / L(T(y,u),z,y)) * K(y,u). (x / L(T(y,z),u,y)) * K(y,z) = x / L(y,u,y). R(x,y,x) * K(x,z) = R(T(x,z),y,x). x * y != K(z,u) * R(z,w,z) | x \ R(T(z,u),w,z) = y. T(x,y) \ R(T(x,y),z,x) = x \ R(x,z,x). L(T(x,y),z,T(x,u)) = L(T(x,y),z,x). 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 \ z) * y),y) = K(x \ z,y). K(x \ (y / z),y / z) = K(x \ (z \ y),y / z). K(x \ (y * z),z) = K(x \ (z * y),z). K(x \ (T(y,z) \ u),y) = K(x \ (y \ u),y). R(T(x,y),z,x) * u = R(x,z,x) * (K(x,y) * u). R(x,y,x) * (K(x,z) * u) = R(T(x,z),y,x) * u. K(x \ (T(y,z) * (y \ u)),y) = K(x \ u,y). K(x \ (K(y,z) * u),T(y,w)) = K(x \ u,T(y,w)). x != K(y \ (z * u),z) | x = K((y / u) \ z,T(z,u)). K(x \ (y * z),z) = K((x / y) \ z,T(z,y)). K((x / y) \ z,T(z,y)) = K(x \ (y * z),z). 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),z) = T(K(x,y),z * K(u,x)). T(K(x,y),z * K(u,x)) = T(K(x,y),z). T(K(x,y),z * L(K(u,x),w,v5)) = T(K(x,y),z). 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). x != T(y,T(z / (u * y),u)) | x = T(y,(u * y) \ z). T(x,y \ (z / x)) = T(x,(y * x) \ z). T(x,(y * x) \ z) = T(x,y \ (z / x)). x != T(y,z \ (u / y)) | x = T(y,z \ (y \ u)). T(x,(y * x) \ z) = T(x,y \ (x \ z)). T(x,L(x \ y,x,z)) = T(x,z \ (x \ (z * y))). K(x,T(T(y,z),u * y)) = K(x,T(T(y,u),z)). T(x * K(y \ z,x),u) \ T(x,u) = K(T(x,u),y \ (T(x,w) * (x \ z))). K(T(x,y),z \ (T(x,u) * (x \ w))) = T(x * K(z \ w,x),y) \ T(x,y). K(x \ y,T(y,x \ z)) = K(z \ ((x \ z) * y),y). K(x \ ((y \ x) * z),z) = K(y \ z,T(z,y \ x)). K(x * y,T(x,z)) = K(x * y,T(T(x,y),z)). K(x * y,T(T(x,y),z)) = K(x * y,T(x,z)). K(x,T(T(y,z),u * y)) = K(x,T(T(y,z),u)). x != K(y * z,T(T(y,z),u)) | x = R(T(y,u),z,y) / T(T(y,z),u). K(x * y,T(x,z)) = R(T(x,z),y,x) / T(T(x,y),z). R(T(x,y),z,x) / T(T(x,z),y) = K(x * z,T(x,y)). K(x,T(T(y,z),u \ y)) = K(x,T(T(y,z),u \ 1)). K(x,T(T(y,z),u \ 1)) = K(x,T(T(y,z),u \ y)). T(K(x,y),z * (u * K(w,x))) = T(K(x,y),z * u). K(x,y) * z != K(x,u) * (w * K(x,y)) | T(K(x,u) * w,K(x,y)) = z. T(K(x,y) * z,K(x,u)) = K(x,y) * T(z,K(x,u)). T((K(x,y) * K(z,x)) \ (K(x,y) * (u * K(z,x))),K(x,y)) = R(T(u,K(x,y) * K(z,x)),K(x,y),K(z,x)). (K(x,y) * z) * K(u,T(x,w)) = K(x,y) * (z * K((w * u) / w,x)). K(x,y) * (z * K((u * w) / u,x)) = (K(x,y) * z) * K(w,T(x,u)). T(x * y,K(z,y)) = T(x,K(z,y)) * y. T(x * (y \ z),K(y,y \ z)) = T(x,K(y,z)) * (y \ z). K(x,y) * (K(z,x) * (u * K(y,x))) = T(K(z,x) * u,K(x,y)). R(K(x \ (y \ z),z / y),z / y,y) = K(z / (x * y),z / y). 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)). K(x \ (y \ z),T(y,u)) = K(x \ (T(y,w) \ z),T(y,u)). K(x \ (T(y,z) \ u),T(y,w)) = K(x \ (y \ u),T(y,w)). 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 \ (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)). 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). T(K(x,K(y,z)) * u,K(x,w)) = K(z,K(x,y)) * T(u,K(x,w)). x != K(y \ (z * ((u \ 1) \ 1)),w) | x = K(y \ (z * u),w). K(x \ (((y \ 1) \ 1) * z),T(z,u)) = K(x \ (z * y),T(z,u)). (K(x,y) * z) \ T(K(x,y) * (x * z),x) = R(x,z,x). R(T(x,y),z,x) / T(T(x,y),z) = K(x * z,T(x,y)). (K(x,y) * z) \ T(T(x,y) * z,x) = R(x,z,x). R(x,K(x,y) * z,x) = R(x,z,x). R(x \ y,(y / x) \ z,x \ y) = R(x \ y,(x \ y) \ z,x \ y). x != R(T(y,z),u,y) / T(T(y,z),u) | x = K(u * y,T(T(y,z),u)). K(x * y,T(x,z)) = K(y * x,T(T(x,z),y)). K(x * y,T(T(y,z),x)) = K(y * x,T(y,z)). K(x * y,T(T(y,x),z)) = K(y * x,T(y,z)). K(x * (y / (y / z)),T(T(y / (y / z),x),z \ y)) = K((y / (y / z)) * x,z). L(K(x,y),z,R(x,u,w)) = K(x,y). K(x,y) = K(L(x,z,R(x,u,w)),y). K(L(x,y,R(x,z,u)),w) = K(x,w). 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) = K(x / (K(u,z) * y),z). K(x / (K(y,z) * u),z) = K(x / u,z). T(x,y / (K(z,x) * u)) = 1 / (x \ K(y / u,x)). x != 1 / (y \ K(z,y)) | x = T(y,z). T(x,y / (K(z,x) * u)) = T(x,y / u). T(x,R(y,K(z,x),u)) = T(x,((y * K(z,x)) * u) / u). T(x,((y * K(z,x)) * u) / u) = T(x,R(y,K(z,x),u)). T(x,y * K(z,x)) = T(x,R(y,K(z,x),u)). T(x,R(y,K(z,x),u)) = T(x,y * K(z,x)). x != T(y,z * K(u,y)) | x = T(y,z). T(x,R(y,K(z,x),u)) = T(x,y). x * y != T(z,R(u,K(w,z),v5)) | x \ T(z,u) = y. x \ T(x,y) = K(x,R(y,K(z,x),u)). K(x,R(y,K(z,x),u)) = x \ T(x,y). 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)). R(K(x,y),(y * K(z,x)) * u,w) = K(x,R(R(y,K(z,x),u),K(z,x) * u,w)). K(T(x,y) \ K(z,x),T(x,y)) = K(x \ 1,x). K(x,y) * K(y \ 1,y) = (T(y,z) \ K(x,y)) * T(y,z). (T(x,y) \ K(z,x)) * T(x,y) = K(z,x) * K(x \ 1,x). (x * (K(y,z) * u)) * K(y,K(z,u)) = x * (u * K(y,z)). ((x * (y * K(z,y))) / x) / ((x * y) / x) = K(T(z,x),y). K(x,K(y,z)) * (T(z,y) * u) = T(z,T(y,x)) * u. L(K(x,y),z,u) = K(L(x,z / T(x,w),u),y). K(L(x,y / T(x,z),u),w) = L(K(x,w),y,u). x != K(L(y,z / T(y,u),w),v5) | x = L(K(y,v5),z * K(u,y),w). L(K(x,y),z,u) = L(K(x,y),z * K(w,x),u). L(K(x,y),z * K(u,x),w) = L(K(x,y),z,w). x != K(L(y,z / T(y,z),u),w) | x = L(K(y,w),T(z,y),u). L(K(x,y),z,u) = L(K(x,y),T(z,x),u). L(K(x,y),T(z,x),u) = L(K(x,y),z,u). K(L(x,y,z),u) = L(K(x,u),x * y,z). L(K(x,y),x * z,u) = K(L(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). x != L(y,1,z) | x = y. K(L(x,x \ 1,y),z) = K(x,z). K(L(x,T(x,y) \ 1,z),u) = K(T(x,y),T(u,y)). K(T(x,y),T(z,y)) = K(L(x,T(x,y) \ 1,u),z). T(x * (y * K(z,u)),L(K(u,z),y,x)) = L(K(u,z),y / K(u,z),x) \ (x * y). L(K(x,y),z / K(x,y),u) \ (u * z) = T(u * (z * K(y,x)),L(K(x,y),z,u)). K(L(x,T(x,y) \ 1,z),u) != w | K(x,u) = w. K(x,y) = L(K(x,y),K(z,x),u). 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)). (x * (K(y,z) * K(z,u))) * K(u,z) = x * K(y,z). R(x,K(y,z),K(z,u)) = x. (x * K(y,z)) * K(z,u) = x * (K(z,u) * K(y,z)). R(x,T(K(y,z),u),K(z,w)) = x. R(x,L(K(y,z),u,w),K(z,v5)) = x. R(x,T(K(y,z),u),T(K(z,w),v5)) = x. (x * y) \ ((x * (y * K(z,u))) * K(u,w)) = L(K(z,u),y,x) * K(u,w). 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 * 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. L(K(x,y),K(z,y),u) = K(x,y). (x * (K(y,z) * K(u,y))) * K(z,y) = x * K(u,y). (x * K(y,z)) * K(u,z) = x * (K(y,z) * K(u,z)). x * K(y,z) = (x * K(z,u)) * (K(u,z) * K(y,z)). (x * K(y,z)) * (K(z,y) * K(u,y)) = x * K(u,y). x != (y * K(z * L(u,w,v5),u)) * K(u,z) | x = (y / (u * K(z,u))) * R(u * K(z,u),z,L(u,w,v5)). x * (K(y,z) * K(z * L(y,u,w),y)) = (x / (y * K(z,y))) * R(y * K(z,y),z,L(y,u,w)). (x / (y * K(z,y))) * R(y * K(z,y),z,L(y,u,w)) = x * (K(y,z) * K(z * L(y,u,w),y)). x * K(y,z) = (x * K(y,u)) * (K(y,z) * K(u,y)). (x * K(y,z)) * (K(y,u) * K(z,y)) = x * K(y,u). (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). 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)) * K(z,u) != w | w = x * (K(z,u) * K(y,z)). (x * K(y,z)) * K(z,u) != w | x * (K(z,u) * K(y,z)) = w. (x * K(y,z)) * (K(u,y) * K(z,y)) = x * K(u,y). (x * K(y,z)) \ (x * K(y,u)) = K(y,u) * K(z,y). L((K(x,y) * K(z,x)) \ 1,K(x,y) * K(z,x),u) = K(y,x) * K(x,z). 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 != y * (K(z,u) * K(w,u)) | x = (y * K(z,u)) * K(w,u). x * K(y,z) = ((x * K(z,u)) * K(y,z)) * K(u,z). ((x * K(y,z)) * K(u,y)) * K(z,y) = x * K(u,y). (K(x,y) * z) \ (z * K(x,u)) = K(x,u) * K(T(y,z),x). (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 * K(y,z) != u * K(w,z) | x = u * (K(z,y) * K(w,z)). (x * K(y,z)) * K(u,y) = x * (K(y,z) * K(u,y)). (x * K(y,z)) * T(z,u) = ((x * K(z,u)) * K(y,z)) * z. ((x * K(y,z)) * K(u,y)) * y = (x * K(u,y)) * T(y,z). R(x,K(y,z),K(u,y)) = x. ((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 * K(z,y),u) | x = K(y,T(u,z)). K(K(x,y) * T(y,z),T(u,z)) = K(y,T(u,T(x,z))). K(K(x,y) * T(y,z),T(u,z)) != w | K(y,T(u,T(x,z))) = w. K(T(x * K(y \ (z * x),x),x),u) = K(x,T(u,T(z \ y,x) \ x)). K(R(T(x,y * z),u,w),z) = K(R(T(x,z * y),u,w),z). K(x,K(y,z)) * (T(y,u) * x) = T(T(y,u) * x,K(y,z)). x * K(y,z) != z * T(K(y,z),u) | x = T(z,K(u,y)). T(x,K(y,z)) = T(x,K(z,x \ y)). T(x,K(y,x \ z)) = T(x,K(z,y)). x != T(y,K(z,u)) | x = T(y,K(u,z)). T(x,K(y,x \ z)) = T(x,K(y,z)). T(x,K(y,x \ z)) != u | T(x,K(y,z)) = u. 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,x * z)) = T(x,K(z,y)). T(x,K(y,z)) * K(y,z * x) = K(y,z * x) * x. x != T(y,K(z,y * u)) | x = T(y,K(z,u * y)). T(x,K(y,z)) = T(x,K(z,y * x)). T(x,K(y,z * x)) = 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). K(x * y,T(y,K(x,z))) = K(x * y,y). K(x * R(y,z,u),R(T(y,K(x,w)),z,u)) = K(x * R(y,z,u),R(y,z,u)). K((x * y) / ((x / z) * y),u) = K(R(z,x / z,y),T(u,z \ x)). K(R(x,y / x,z),T(u,x \ y)) = K((y * z) / ((y / x) * z),u). x != y / T(y,z) | x = K(z,y). K(T(x,y * K(z,y)),u) = K(x * K(T(x,z),y),u). K(T(x * K(x * y,x),z * K(y * x,z)),u) = K((x * K(x * y,x)) * K(x,z),u). K(T(x,y * K(z * x,y)),u) = K(x * K(T(x,z),y),u). x != K(y * K(z,u),(y / z) \ 1) | x = K(y,y \ T(z,u)). K(K(x,y) * z,z \ x) = K(z,z \ T(x,y)). T(K(x,y) * z,z \ x) = (K(x,y) * z) * K(z,z \ T(x,y)). (K(x,y) * z) * K(z,z \ T(x,y)) = T(K(x,y) * z,z \ x). x * K(((y * (z * y)) / y) / z,T(y,z * y) \ x) = (((y * (z * y)) / y) / z) * (x / (((y * (z * y)) / y) / z)). (((x * (y * x)) / x) / y) * (z / (((x * (y * x)) / x) / y)) = z * K(((x * (y * x)) / x) / y,T(x,y * x) \ z). x != T((y * z) / y,y * z) | x = L(z,y,z). T(x * K(y,x),T(y * x,y)) = L(x,y,x). x != T(y * K(z,y),T(u * y,w)) | x = T(y * K(z,y),T(y * u,w)). L(x,y,x) = T(x * K(y,x),T(x * y,y)). T(x * K(y,x),T(x * y,y)) = L(x,y,x). K(x,y) * T(x * K(z,x),T(z,y)) = T(x,T(y,z)). x * (T(y,T(z,x)) * K(z,y)) = T(x,y) * T(y,T(x,z)). K(x,y) * T(x * K(z \ y,x),T(z \ y,y)) = T(x,z * ((y * (z \ y)) / y)). K(x,y) * T(x,K(z,y)) = T(x,T(y,z)). L(K(x,y),z,u) = K(x,L(y,z / T(y,w),u)). K(x,L(y,z / T(y,u),w)) = L(K(x,y),z,w). K(x,L(y,z,u)) = L(K(x,y),y * z,u). L(K(x,y),y * z,u) = K(x,L(y,z,u)). K(x * y,x) = K(x * y,L(x,y,z)). K(x * y,L(x,y,z)) = K(x * y,x). (x * (y * z)) * K(u,L(y,z,x)) = x * ((y * z) * K(u,y)). R(K(x,y),z,R(x,u,w)) = K(x,y). (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)). 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). 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). K(R(x,y,L(T(x,z),u,w)),v5) = K(T(x,z),T(v5,z)). K(T(x,y),T(z,y)) = K(R(x,u,L(T(x,y),w,v5)),z). T(R(x,y,L(x,z,u)),w) = K(x,w) * R(x,y,L(x,z,u)). K(x,y) * R(x,z,L(x,u,w)) = T(R(x,z,L(x,u,w)),y). K(x,y) = K(R(x,z,L(T(x,u),w,v5)),y). 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). T(x,R(y,z,y)) = T(x,y). R(x,y,x) * T(z,x) = z * R(x,y,x). T(x,T(y,y \ z)) = T(x,T(y,z)). x != T(y * K(z,y),T(z,u)) | x = T(y * K(u,y),T(u,z)). T(x * K(y,x),T(y,z)) = T(x * K(y \ z,x),T(y \ z,y)). T(x * K(y \ z,x),T(y \ z,y)) = T(x * K(y,x),T(y,z)). T(x,T(y,z \ 1)) = T(x,T(y,z \ y)). R(x,y,x) * (x \ z) = (z / x) * R(x,y,x). (R(x,y,x) * (x \ z)) \ (z * R(x,y,x)) = x. R(x,x \ y,x) * (x \ z) = (z / x) * ((x \ y) \ T(y,x)). T(L(L(x * K(y,x),y,x),z,u) * y,x * K(y,x)) = L(x * K(y,x),z,u) * T(y,x). T(x * (y \ z),K(y,z)) = T(x,K(y,z)) * (y \ z). T(x * (y \ z),K(z,y)) = T(x,K(y,z)) * (y \ z). T(x * (y \ z),K(z,y)) = T(x,K(z,y)) * (y \ z). x != K(y,z) * K(z \ 1,z) | x = (T(z,y) \ 1) * z. (T(x,y) \ K(z,x)) * T(x,y) = (T(x,z) \ 1) * x. T((T(x,y) \ K(z,x)) * T(x,y),T(x,u)) = (T(x,z) \ 1) * x. K(T(x,y),z) * ((y * z) / y) = (y * (z * K(x,z))) / y. K(T(x,y),z) * (z * K(y,z)) = (y * (z * K(x,z))) / y. x != (y / T(z,u)) * K(z,w) | x = y / (T(z,u) * K(w,z)). (x / y) * (K(y,z) * K(u,y)) = x / (T(y,u) * K(z,y)). x != y * K(T(z,u),w) | x = y * K(z,T(w,u)). (K(x,y) * z) \ (z * K(x,u)) = K(x,u) * K(y,T(x,z)). (x * K(y,z)) * (y * K(u,y)) = (x * K(u,y)) * T(y,z). x != K(y,K(z,u)) * (T(z,w) * y) | x = T(z,w) * T(y,K(z,u)). T(T(x,y) * z,K(x,u)) = T(x,y) * T(z,K(x,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 != T(x,y) * T(u,K(x,y)) | T(x * u,K(x,y)) = z. T(x * y,K(x,z)) = x * T(y,K(x,z)). K(x,y) * ((y * R(x,z,u)) * x) = (x * y) * R(x,z,u). K(x,y) * R(x,z,R(x,u,w)) = R(T(x,y),z,R(x,u,w)). K(x,y) * R(x,z,L(x,u,w)) != v5 | R(T(x,y),z,L(x,u,w)) = v5. ((x * y) / x) / ((x * (y * K(z,y))) / x) = K(y,T(z,x)). ((x * y) / x) / ((x * (y * K(z,y))) / x) != u | K(y,T(z,x)) = u. x != K(y,z) * (z * K(u,z)) | x = (z * K(u,z)) * K(y,z). (x * (y * K(z,y))) / x = (y * K(x,y)) * K(T(z,x),y). (x * K(y,x)) * K(T(z,y),x) = (y * (x * K(z,x))) / y. (x / y) * (K(y,z) * K(y * z,y)) = x / L(y,z,y). (K(x,y) * z) \ (K(x,u) * z) = K(x,T(u,z)) * K(y,T(x,z)). x != (y * K(z,u)) * T(u,w) | x = y * (K(z,u) * T(u,w)). (x * K(y,z)) * (y * K(u,y)) = x * (K(u,y) * T(y,z)). 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 * K(y,z)) * (y * K(u,y)) = x * (T(y,z) * K(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). L(T(x,y),z,u) \ (x * K(L(x,z,u),y)) = L(x,z,u) \ x. 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). K(x,K(1 / y,z) / (1 / y)) = T(K(T(x,y \ 1),(1 / y) \ 1),z). T(K(T(x,y \ 1),(1 / y) \ 1),z) = K(x,K(1 / y,z) / (1 / y)). 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)). x != ((y * z) * u) / ((y * T(z,T(w,y))) * u) | x = R(K(w,z),y * z,u). K(T(x,y),R(T(z,y),y,u)) = R(K(x,z),y * z,u). R(K(x,y),z * y,u) = K(T(x,z),R(T(y,z),z,u)). R(K(x,y),z * y,u) != w | K(x,R(y,z,u)) = w. K(x,R(y,x,z)) = K(R(x,y,z),y). K(R(x,y,z),y) = K(x,R(y,x,z)). K(R(x,y,z),y) != u | K(x,R(y,x,z)) = u. R(K(x,y),z * (y * K(u,x)),w) != v5 | K(x,R(y * K(u,x),z,w)) = v5. 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(T(x,y),y \ z) = K(x,z / (y * K(u,x))). 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 * 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 / (((x \ 1) * z) * x)) = K(x,y / L(z,x \ 1,x)). K(x,y / (z * x)) = K(x,(z / y) \ (x \ 1)). K(x,(y / z) \ (x \ 1)) = K(x,z / (y * x)). 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)). 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(y,z)) * K(u,y) != w | x * (K(y,z) * K(u,y)) = w. K(x,y) = K(x,L(y,z,x)). K(x,L(y,z,x)) = K(x,y). K(x,L(L(y,z,x),u,w)) = K(x,L(y,u,w)). K(x,(x * y) \ z) = K(x,y \ (x \ z)). T(x,L(y,z,x)) = K(x,y) * x. 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). T(x,L(y,z,x)) = T(x,y). T(x,y \ (x * z)) = T(x,(x \ y) \ z). T(x,(x \ y) \ z) = T(x,y \ (x * z)). T(x,(y * (x * z)) \ (y * x)) = T(x,L(z \ 1,x * z,y)). T(x,L(y \ 1,x * y,z)) = T(x,(z * (x * y)) \ (z * x)). K(x,(y * (x / y)) \ z) = K(x,K(y,y \ x) \ (x \ z)). K(x,K(y,y \ x) \ (x \ z)) = K(x,(y * (x / y)) \ z). (x * ((y / z) / x)) * z = y * K(x,z \ (x \ y)). L(K(x,y \ (x \ 1)),z,u) = K(x,L(x * y,z,u) \ 1). x != T(y,z \ (y * u)) | x = T(y,z \ (u * y)). T(x,(x \ y) \ z) = T(x,y \ (z * x)). K(x,y) * K(x,K(y,z \ (u * y))) = K(x,T(y,(y \ z) \ u)). 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,z \ (y \ x)) = z * (y * ((z \ x) / y)). 1 * x != (y * ((z / u) / y)) * u | x = u * (y * ((u \ z) / y)). K(x,y \ (x \ 1)) = y * (x * ((y \ 1) / x)). x * (y * ((x \ 1) / y)) = K(y,x \ (y \ 1)). (x * y) * (z * (((x * y) \ x) / z)) = x * K(z,y \ (z \ 1)). x * (y * ((x \ z) / y)) != z * u | K(y,x \ (y \ z)) = u. (x * (y * ((x \ z) / y))) \ z = K(x \ (y \ z),y). ((x * (y * z)) * (u * (L(L(z \ 1,z,y),y * z,x) / u))) \ (x * y) = K((x * (y * z)) \ (u \ (x * y)),u). ((x * (y * ((x \ 1) / y))) * L(K(x \ (y \ 1),y),z,u)) * ((x * (y * ((x \ 1) / y))) \ w) = w * L(w \ ((x * (y * ((x \ 1) / y))) \ w),z,u). (x * (y * ((x \ 1) / y))) / ((L(x * (y * ((x \ 1) / y)),z,u) \ 1) * (x * (y * ((x \ 1) / y)))) = L(K(x \ (y \ 1),y) \ 1,z,u). K(x,K(y \ x,y) * (x \ z)) = K(x,(y * (x / y)) \ z). L(K(1 / x,y \ x),z,u) = K(1 / x,L((1 / x) * y,z,u) \ 1). K(1 / x,L((1 / x) * y,z,u) \ 1) = L(K(1 / x,y \ x),z,u). 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)). K(x,K(y \ x,y) * T(z,x)) = K(x,(y * (x / y)) \ (z * x)). K(x,(y * (x / y)) \ (z * x)) = K(x,K(y \ x,y) * T(z,x)). T(x,R(x,y,z) * u) \ (x * K(L(x,u,R(x,y,z)),u)) = L(x,u,R(x,y,z)) \ x. 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 != T(y,z \ (u * y)) | x = T(y,z \ (y * u)). T(x,L(y \ 1,x * y,z)) = T(x,(z * (x * y)) \ (x * z)). x != T(y,(z * (u * w)) \ (z * u)) | x = T(y,L(w,u,z) \ 1). T(x,L(y \ 1,x * y,z)) = T(x,L(y,x,z) \ 1). T(x,L(y \ 1,x * y,z)) != u | T(x,y \ 1) = u. T(x,y \ 1) = T(x,(z * (x * y)) \ (x * z)). T(x,(y * (x * z)) \ (x * y)) = T(x,z \ 1). T(x,((x \ y) * (x * z)) \ y) = T(x,z \ 1). T(x,((x \ y) * z) \ y) = T(x,(x \ z) \ 1). x != T(y,(z \ u) \ 1) | x = T(y,u \ z). T(x,((x \ y) * z) \ y) = T(x,z \ x). T(x,(y * z) \ (x * y)) = T(x,z \ x). T(x,y \ x) = T(x,(z * y) \ (z * x)). 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)). K(x,T(y,z \ (u * y))) = K(x,T(y,z \ u)). K(x,T(y,(y \ z) \ u)) = K(x,T(y,z \ u)). K(x,T(y,(y \ z) \ u)) != K(x,y) * w | K(x,K(y,z \ u)) = w. K(x,K(y,z)) * (L(K(x,u),w,v5) \ K(x,K(y,z))) = L(K(x,u),w,v5) \ 1. K(x,K(y,z)) * (K(z,u) * w) = K(z,u) * (K(x,K(y,z)) * w). K(T(x,y),z \ (y * (x \ 1))) = K(x,(y * (x \ 1)) / z). K(T(x,y),((x \ 1) * y) \ z) = K(x,z / ((x \ 1) * y)). K(T(x,y),L(T(z,y),y,x \ 1)) = K(x,((x \ 1) * (z * y)) / ((x \ 1) * y)). x / (K(T(y,z),x) * K(x,z)) = T(x * K(z,x),y). T(x * K(y,x),z) \ x = K(T(z,y),x) * K(x,y). T((x * y) / x,z) \ y = K(T(z,x),y) * K(y,x). x != K(y,z) * K(z,u) | x = K(z,u) * K(y,z). T((x * y) / x,z) \ y = K(y,x) * K(T(z,x),y). L(x,y,L(x,z,u)) \ x = K(x,y) * K(T(L(x,z,u) * y,y),x). K(x,y) * K(T(L(x,z,u) * y,y),x) = L(x,y,L(x,z,u)) \ x. (x * K(y * z,y)) * K(y,z) = K(y * z,y) * (K(y,z) * x). T(x * y,z) * ((y * x) \ 1) = K(x,y) * K(x * y,z). T(((x * y) * ((y * x) \ 1)) * (y * x),z) = (K(x,y) * K(x * y,z)) * (y * 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). K((T(x,y) * z) \ u,T(x,z)) = K(u / (T(x,y) * z),x). T(x * y,y) / (T(x * y,y) / x) = x * K(y,x). T(x * K(y,x),T(x * y,y)) = L(x,y * K(x * y,y),x). x != T(y * K(z,y),T(y * z,z)) | x = L(y,z,y). L(x,y * K(x * y,y),x) = L(x,y,x). x != L(y,z * K(y * z,z),y) | x = L(y,R(z,y,z),y). L(x,y,x) = L(x,R(y,x,y),x). L(x,R(y,x,y),x) = L(x,y,x). x != L(y,T(z,z * y),y) | x = L(y,L(z,y,z),y). L(x,R(T(y,y * x),x,T(y,y * x)),x) = L(x,L(y,x,y),x). x != T(y,z) / T(u * (y / u),z) | x = K((u / y) \ 1,u * K(y,z)). T(x * (y / x),z) \ T(y,z) = K((x / y) \ 1,x * K(y,z)). K((x / y) \ 1,x * K(y,z)) = T(x * (y / x),z) \ T(y,z). K(x,y) * (z * T(z \ (K(x,y) \ u),y)) = z * T(z \ u,y). x != K(y,z) * T(y * K(z,y),u) | x = T(y,T(u,z)). T(x,T((y * z) \ y,u)) = T(x,T(z \ 1,u)). T(x,T(y \ z,u)) = T(x,T((z \ y) \ 1,u)). T(x,T((y \ z) \ 1,u)) = T(x,T(z \ y,u)). T(x,y \ ((z \ u) \ y)) = T(x,T(u \ z,y)). T(x,(y * (z * K(x,u))) \ w) = T(x,(y * z) \ w). T(x,(y * (x * z)) \ u) = T(x,(y * (z * x)) \ u). T(x,(y * (z * x)) \ u) = T(x,(y * (x * z)) \ u). x != K(y,z) * (K(u,y) * (w * K(z,y))) | x = K(u,y) * T(w,K(y,z)). T(K(x,y) * z,K(y,u)) = K(x,y) * T(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). x != T(y,K(z,u)) * K(z,u * y) | x = K(z,u * y) * y. T(x * K(y,z * x),K(y,z)) = K(y,z * x) * x. T(x * K(y,z),K(y,u)) \ T(x,K(y,u)) = K(z,y). (K(x,y * z) * z) / T(K(x,y),z * K(x,y * z)) = (z * K(x,y * z)) / T(T(K(x,y),z * K(x,y * z)),z * K(x,y * z)). (x * K(y,z * x)) / T(T(K(y,z),x * K(y,z * x)),x * K(y,z * x)) = (K(y,z * x) * x) / T(K(y,z),x * K(y,z * x)). T(K(x,K(y,z)) * u,K(y,w)) = K(x,K(y,z)) * T(u,K(y,w)). K(x,y) * T(z,z \ T(x,y)) = T(K(x,y) * z,z \ x). K(x,y) * T(K(y,x) * z,z \ y) = T(z,z \ T(y,x)). T((T(x,y) \ 1) * x,T(x,z)) = (T(x,y) \ 1) * x. K(x,(y * z) \ (x \ y)) = K(x,z \ (x \ 1)). K(x,y \ (x \ z)) = K(x,(z \ y) \ (x \ 1)). K(x,(y \ z) \ (x \ 1)) = K(x,z \ (x \ y)). (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(1 / x,(y \ z) \ x) = K(1 / x,z \ ((1 / x) \ y)). K(1 / x,y \ ((1 / x) \ z)) = K(1 / x,(z \ y) \ x). K(x,(y \ z) \ (x \ 1)) = K(x,(y / (y / z)) \ (x \ ((z \ y) * z))). K(x,(y / (y / z)) \ (x \ ((z \ y) * z))) = K(x,(y \ z) \ (x \ 1)). L(K(x \ 1,y \ ((x \ 1) \ z)),u,w) = K(L(x,u,w) \ 1,(z \ y) \ ((x \ 1) \ 1)). K(L(x,y,z) \ 1,(u \ w) \ ((x \ 1) \ 1)) = L(K(x \ 1,w \ ((x \ 1) \ u)),y,z). K((x * y) \ (z \ x),z) = K(y \ (z \ 1),z). K((x * (y * z)) \ (u \ (x * y)),u) = K(L(z,y,x) \ (u \ 1),u). K(1 / x,y \ ((1 / x) \ z)) != u | K(x \ 1,(z \ y) \ x) = u. K(x,(y * (x / y)) \ (z * x)) != u | K(x,K(y \ x,y) * z) = u. 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. x * (K(y,z) * K(y * z,y)) = K(y * z,y) * (K(y,z) * x). K(x * y,x) * (K(x,y) * z) = z * (K(x,y) * K(x * y,x)). L(x,T(y,x),x) = L(x,L(y,x,y),x). L(x,L(y,x,y),x) = L(x,T(y,x),x). x != L(y,T(z,y),y) | x = L(y,z,y). L(x,L(y,x,y),x) = L(x,y,x). R(L(x,y,x),z,u) = L(R(x,z,u),L(y,x,y),x). L(R(x,y,z),L(u,x,u),x) = R(L(x,u,x),y,z). L(R(x,y,z),L(u,x,u),x) = L(R(x,y,z),u,x). x != L(y,z,u) | x = K(L(y,z,u),u * z) * ((u * (z * y)) / (u * z)). L(R(x,y,z),u,x) = K(L(R(x,y,z),L(u,x,u),x),x * L(u,x,u)) * ((x * (L(u,x,u) * R(x,y,z))) / (x * L(u,x,u))). K(L(R(x,y,z),L(u,x,u),x),x * L(u,x,u)) * ((x * (L(u,x,u) * R(x,y,z))) / (x * L(u,x,u))) = L(R(x,y,z),u,x). x != T(y * (z / y),u) \ T(z,u) | x = K(y \ T(z,u),y). K((x / y) \ 1,x * K(y,z)) = K(x \ T(y,z),x). x != K((y / z) \ 1,y * K(u,w)) | x = K(y \ z,K(u,w) * y). K(x \ T(y,z),x) = K(x \ y,K(y,z) * x). K(x \ y,K(y,z) * x) = K(x \ T(y,z),x). K(x \ T(y,z),x) * (K(y,z) * (x * (x \ y))) = L(x \ y,x,K(y,z)) * (K(y,z) * x). K(x,y) * (K(z,K(x,u)) * (K(x,y) \ w)) = K(u,K(z,x)) * w. x != K((y * z) / y,u) | x = K(z,T(u,y)). L(K(x,T(y \ z,u)),y \ z,y) = K(x,T((z \ y) \ 1,u)). K(x,T((y \ z) \ 1,u)) = K(x,T(z \ y,u)). K(x,T(1 / (y \ z),u)) = K(x,T(z \ y,u)). x != K(y,T(z \ 1,u)) | x = K(y,u \ (z \ u)). K(x,T(y \ z,u)) = K(x,u \ ((z \ y) \ u)). K(x,y \ ((z \ u) \ y)) = K(x,T(u \ z,y)). K(x,T(y,R(x,z,u) * w)) = K(R(x,w,R(T(x,w),z,u)),T(y,w)). K(R(x,y,R(T(x,y),z,u)),T(w,y)) = K(x,T(w,R(x,z,u) * y)). 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). K(x / y,z) = K((x * K(u,z)) / y,z). K((x * K(y,z)) / u,z) = K(x / u,z). ((x * y) / x) / ((x * (y * K(z / u,y))) / x) = K(y,T((K(y,w) * z) / u,x)). K(x,T((K(x,y) * z) / u,w)) = ((w * x) / w) / ((w * (x * K(z / u,x))) / w). K((x * T(y,z)) / u,z) = K((x * y) / u,z). (x * K((y * z) / u,w)) \ x = K(w,(y * T(z,w)) / u). K(x,(y * T(z,x)) / u) = (w * K((y * z) / u,x)) \ w. K(x,(y * T(z,x)) / u) != w | K(x,(y * z) / u) = w. K(((x / y) * z) \ (x * z),u) \ 1 = T(R(K(y,T(u,x)),x,z) \ 1,x * z). T(R(K(x,T(y,z)),z,u) \ 1,z * u) = K(((z / x) * u) \ (z * u),y) \ 1. 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)). a(x,y * K(x,z),x) != u | a(x,y,T(x,z)) = u. K(x / (y * z),x / z) = K(y \ (z \ x),x / z). K((x * y) \ z,y \ z) = K(x \ (y \ z),z / y). (x * K(y \ (z \ u),u / z)) \ x = K(z \ u,(y * z) \ u). ((x \ y) \ K(z \ (x \ y),y / x)) \ ((x \ y) \ 1) = K(x \ y,(z * x) \ y). K(x / y,z \ (y \ x)) = K(y \ x,(z * y) \ x). x != K(R(y,z,u),w) | x = R(y,z,u) \ R(T(y,w),z,u). K((x * y) / ((x / z) * y),u) = R(z,x / z,y) \ R(T(z,T(u,z \ x)),x / z,y). R(x,y / x,z) \ R(T(x,T(u,x \ y)),y / x,z) = K((y * z) / ((y / x) * z),u). 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)). x != K(y,z) | x = T(u * K(z,y),K(z,w)) \ T(u,K(z,w)). K(x,T(y,R(x,z,u) * w)) = T(v5 * K(T(y,w),R(x,w,R(T(x,w),z,u))),K(T(y,w),v6)) \ T(v5,K(T(y,w),v6)). T(x * K(T(y,z),R(u,z,R(T(u,z),w,v5))),K(T(y,z),v6)) \ T(x,K(T(y,z),v6)) = K(u,T(y,R(u,w,v5) * z)). K((x \ y) \ (x \ z),z) = K(y \ z,(x \ 1) \ (x \ z)). K(x \ y,(z \ 1) \ (z \ y)) = K((z \ x) \ (z \ y),y). K(x \ R(y,z,u),R((w \ 1) \ (w \ y),z,u)) = K((w \ x) \ (w \ R(y,z,u)),R(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)). 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 != K(y,K(z,u)) * (T(u,z) * w) | x = T(u,T(z,y)) * w. K(x \ y,x) * T(z,y) = T(z,T(y,x)) * K(x \ y,x). T(x,T(y,z)) * K(z \ y,z) = K(z \ y,z) * T(x,y). 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 != R(y \ z,(z / y) \ y,y \ z) | x = ((z / y) \ y) \ y. R(x \ y,(x \ y) \ x,x \ y) = ((y / x) \ x) \ x. T(K(T(x,y \ 1),y),z) = K(x,K(1 / y,z) / (1 / y)). K(x,K(1 / y,z) / (1 / y)) = T(K(T(x,y \ 1),y),z). K(x,K(1 / y,z) / (1 / y)) = T(K(x,y),z). 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(y \ 1,z)) != u | K(x,T(y,z)) = u. K(x * y,T(y,x)) = K(y \ 1,x). K(x * y,x) = K(x \ 1,y). K(x \ 1,y) = K(x * y,x). K(x \ 1,y) != z | K(y * x,x) = z. K(x * K(y \ 1,z),y) = K(x,y). x != K(y * (z / y),y) | x = K(z,y). K(x \ 1,y / x) = K(y,x). K(x,y / K(x \ 1,z)) = K(x,y). L(x,y,K(x \ 1,z)) = x. K(x,y / (z * K(x \ 1,u))) = K(x,y / z). (K(x \ 1,y) * z) * x = K(x \ 1,y) * (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). K(x / T(y,z \ 1),z) = K(x / y,z). K(x,y) = K(K(z,y \ 1) * x,y). K(K(x,y \ 1) * z,y) = K(z,y). K(T(x,y \ 1) \ z,y) = K(x \ z,y). K(x \ 1,y / K(x,z)) = K(x \ 1,y). K(K(x \ 1,y) \ z,x) = K(z,x). K(x \ T(y,z \ 1),z) = K(x \ y,z). T(K(x \ 1,y) \ z,x) = (K(x \ 1,y) \ z) * K(z,x). (K(x \ 1,y) \ z) * K(z,x) = T(K(x \ 1,y) \ z,x). K(x / (y * (z \ 1)),z) = K(x / (z \ y),z). K(x \ 1,y / z) = K(x \ 1,y / T(z,x)). K(x \ 1,y / T(z,x)) = K(x \ 1,y / z). K(x \ (y * (z \ 1)),z) = K(x \ (z \ y),z). K(x,y / ((z / (x \ 1)) * u)) = K(x,y / (((x \ 1) \ z) * u)). K(R(x,y,x) \ 1,z) = K(x \ 1,z). x != K(R(y,z * u,w) \ 1,z) | x = K(y \ 1,R(z,u,w)). K(x \ 1,y) = K(x \ 1,R(y,z,x)). K(x \ 1,R(y,z,x)) = K(x \ 1,y). K(x \ 1,(y * x) / (z * x)) = K(x \ 1,y / z). (K(x,y \ 1) * z) * K(z,y) = T(K(y \ 1,x) \ z,y). K(x,y \ 1) * T(z,y) = T(K(y \ 1,x) \ z,y). T(K(x \ 1,y) \ z,x) = K(y,x \ 1) * T(z,x). T(K(x,y \ 1) * z,y) = K(x,y \ 1) * T(z,y). T(x,y) * K(y \ 1,z) = T(x * K(y \ 1,z),y). T(x * K(y \ 1,z),y) = T(x,y) * K(y \ 1,z). T((x / y) * K(y \ 1,z),y) = (y \ x) * K(y \ 1,z). x \ (y * K(x \ 1,z)) = (x \ y) * K(x \ 1,z). x * ((x \ y) * K(x \ 1,z)) = y * K(x \ 1,z). x * (y * K(x \ 1,z)) = (x * y) * K(x \ 1,z). (x * y) * K(x \ 1,z) = x * (y * K(x \ 1,z)). K(L(x,y,x) \ 1,z) = K(x \ 1,z). R(x,y,K(x \ 1,z)) = x. K(x \ 1,(x \ y) \ z) = K(x \ 1,y \ (x * z)). R(x \ 1,y,K(x,z)) = x \ 1. R(x,y,K(z,x)) = x. 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)). 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))). (x \ 1) * (y * K(x,z)) = ((x \ 1) * y) * K(x,z). ((x \ 1) * y) * K(x,z) = (x \ 1) * (y * K(x,z)). (x * K(y \ 1,z)) \ x = K(z,L(y,u,y) \ 1). K(x,L(y,z,y) \ 1) = (u * K(y \ 1,x)) \ u. K(x,L(y,z,y) \ 1) = K(x,y \ 1). K(x,L(1 / y,z,1 / y) \ 1) = K(x,(y \ ((1 / y) \ 1)) * T(y,1)). L(K(x \ 1,y \ (x * (z \ u))),z \ u,z) = K(x \ 1,(z * (x \ y)) \ u). L(K(x,y),z,T(y,u)) = K(x,y). x != L(K(y,z),y * u,w) | x = K(L(y,u,w),z). K(x,y) = K(L(x,z,T(y,u)),y). K(L(x,y,T(z,u)),z) = K(x,z). x != L(K(y \ (z \ u),w),z \ u,z) | x = K((z * y) \ u,w). K(x \ (T(y,z) \ u),y) = K((T(y,z) * x) \ u,y). K((T(x,y) * z) \ u,x) = K(z \ (T(x,y) \ u),x). K(L(x,y,z),z) = K(x,z). K((x * ((T(y,z) * x) \ u)) / x,y) = K((T(y,z) \ u) / x,y). K((x * y) \ z,x) = K(y \ (x \ z),x). R(x * K(y,x),z,u) \ R(x,z,u) = K(R(x,z,u),L(y,w,x)). K(R(x,y,z),L(u,w,x)) = R(x * K(u,x),y,z) \ R(x,y,z). K(x * K(y,x),z) = K(x,T(z,L(y,u,x))). K(x,T(y,L(z,u,x))) = K(x * K(z,x),y). K(x \ y,z) = K((z \ x) \ (z \ y),z). K((x \ y) \ (x \ z),x) = K(y \ z,x). K(T(x * K(y \ (x \ (z * x)),x),x),u) = K(x,T(u,T(z \ (x * y),x) \ x)). K((x \ y) \ z,x) = K(y \ (z * x),x). K(x \ (y * z),z) != u | K((z \ x) \ y,z) = u. K((x / y) \ z,y) = K(x \ (z * y),y). K(x \ y,z) = K((x * z) \ (y * z),z). K((x * y) \ (z * y),y) = K(x \ z,y). x != K(y \ ((z \ u) * z),z) | x = K(y \ u,z). K(x \ (y \ z),y) = K((x * y) \ z,y). K((x * y) \ z,y) = K(x \ (y \ z),y). (x * K(y \ (z \ u),z)) \ x = K(z,(y * z) \ u). (x * y) * T((x * y) \ z,y) = z * K(x \ (y \ z),y). K((x * y) \ (z * y),y) != u | K(x \ z,y) = u. K(x,T(y,L(z,u,x))) = K(x,T(y,z)). x != K(y,T(y * z,L(u,z,y))) | x = K(y,T(y * z,z * u)). K(x,T(x * y,z)) = K(x,T(x * y,y * z)). K(x,T(x * y,y * z)) = K(x,T(x * 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,T(x * y,z)) = K(x,T(x * y,y \ z)). K(x,T(x * y,y \ z)) = K(x,T(x * y,z)). K(x / y,T(x,y \ z)) = K(x / y,T((x / y) * y,z)). K(x / y,T((x / y) * y,z)) = K(x / y,T(x,y \ z)). K(x \ (y * (z \ x)),z \ x) != u | K(z \ y,z \ x) = u. (x * (y * z)) * u != x * ((y * z) * K(w,y)) | u = K(w,L(y,z,x)). K(x,y) = K(x,L(y,z,x \ 1)). K(x,L(y,z,x \ 1)) = K(x,y). K(x,L((1 / x) * y,z,u)) = K(x,L(x \ y,z,u)). 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(x,(y * x) \ z) != u | K(x,y \ (x \ z)) = u. K(x,L(x \ y,x,z)) != u | K(x,z \ (x \ (z * y))) = u. K(x,L(K(x,x \ 1) * y,z,u)) = K(x,L(x \ ((x \ 1) \ y),z,u)). K(x,L(x \ ((x \ 1) \ y),z,u)) = K(x,L(K(x,x \ 1) * y,z,u)). x != (y * z) * T((y * z) \ u,z) | x = ((z \ (u / y)) * z) * y. x * K(y \ (z \ x),z) = ((z \ (x / y)) * z) * y. ((x \ (y / z)) * x) * z = y * K(z \ (x \ y),x). ((x \ y) * x) * z = (y * z) * K(z \ (x \ (y * z)),x). (x * y) * K(y \ (z \ (x * y)),z) = ((z \ x) * z) * y. x != K(y / z,T(y,u)) | x = K(z \ y,T(y,u)). K(x / y,T((x / y) * y,z)) = K(y \ x,T(x,y \ z)). K(x,y \ (x \ (y * z))) = K(x,L(x \ z,x,y)). K(x,L(x \ y,x,z)) = K(x,z \ (x \ (z * y))). K(x,L(x \ (y \ z),x,z / (z / y))) = K(x,(z / (z / y)) \ (x \ ((y \ z) * y))). K(x,y / (((x \ z) * x) * u)) = K(x,y / (z * u)). K(x,y / ((z * x) * u)) = K(x,y / ((x * z) * u)). K(x / y,T(x,z)) = K(y \ x,T(x,y \ z)). K(x \ y,T(y,x \ z)) = K(y / x,T(y,z)). K(x \ y,T(y,x \ z)) = K(x \ y,T(y,z)). x != K(y \ z,T(z,y \ u)) | x = K(u \ ((y \ u) * 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)). K(x \ (y \ z),x \ z) = K(y \ (x \ z),T(x \ z,z)). K(x \ (y \ z),T(y \ z,z)) = K(y \ (x \ z),y \ z). K(x \ (y \ z),z / y) = K(y \ (x \ z),y \ z). K(x \ (y \ z),x \ z) = K(y \ (x \ z),z / x). x * y != K(z \ (u \ w),z \ w) | x \ K(u \ (z \ w),w / z) = y. (x \ y) \ K(z \ (x \ y),y / x) = T(x \ y,x \ (z \ y)) \ 1. K((T(x,y) * z) \ u,T(x,z)) = K((T(x,y) \ u) / z,x). x != K((T(y,z) * u) \ w,T(y,u)) | x = K(w / (T(y,z) * u),y). K((T(x,y) \ z) / u,x) = K(z / (T(x,y) * u),x). K(R(x,y,z),L(u,w,x)) != v5 | K(R(x,y,z),u) = v5. K(1 / x,L((1 / x) * y,z,u) \ 1) != w | K(L(x,z,u) \ 1,y \ x) = w. x != K(y,(z \ u) \ (y \ 1)) | x = K(y,u \ (y \ z)). K(x,(y / (y / z)) \ (x \ ((z \ y) * z))) = K(x,z \ (x \ y)). L(K(x,T(y,z)),u,L(y,w,v5)) = K(x,T(y,z)). K(x,T(y,L(y,z,u) * w)) = K(x,T(y,w)). L(K(x,T(y,z)),u,y) = K(x,T(y,z)). K(x \ (y \ z),T(y,u)) = K((y * x) \ z,T(y,u)). K((x * y) \ z,T(x,u)) = K(y \ (x \ z),T(x,u)). K((x \ y) \ z,T(x,u)) = K(y \ (x * z),T(x,u)). K(x * L(y,z,u),y) = K(x * L(y,z,u),T(y,x)). K(x * L(y,z,u),T(y,x)) = K(x * L(y,z,u),y). K(L(x,y,z) * u,x) = K(L(x,y,z) * u,T(x,u)). K(L(x,y,z) * u,T(x,u)) = K(L(x,y,z) * u,x). L(K(x \ (y \ 1),T(y,z)),u,w) = K(L(y * x,u,w) \ 1,T(y,z)). K(x / (y \ z),y) = K(z \ (y * x),T(y,x)). K(x \ (y * z),T(y,z)) = K(z / (y \ x),y). K((x / y) \ z,z) = K(y / (z \ x),z). K(x / (y \ z),y) = K((z / x) \ y,y). T(x,y) * K(y * L(x,z,u),x) = R(x,y,L(x,z,u)). K(T(L(x,y,z) * u,u),x) = K(L(x,y,z) * u,x). K(x,y) * K(L(x,z,u) * y,x) = L(x,y,L(x,z,u)) \ 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 \ R(x,y,L(x,z,u)) = K(x,y) * K(y * L(x,z,u),x). K(x,y) * K(y * L(x,z,u),x) = x \ R(x,y,L(x,z,u)). x \ R(x,y,L(x,z,u)) != w | K(x,y) * K(y * L(x,z,u),x) = w. K(x * L(y,z,u),T(y,x)) * K(y,x) = y \ R(y,x,L(y,z,u)). K(x * (1 / (1 / (y \ z))),T(1 / (z \ y),x)) * K(1 / (z \ y),x) = (1 / (z \ y)) \ R(1 / (z \ y),x,L(1 / (z \ y),z \ y,z)). (1 / (x \ y)) \ R(1 / (x \ y),z,L(1 / (x \ y),x \ y,x)) = K(z * (1 / (1 / (y \ x))),T(1 / (x \ y),z)) * K(1 / (x \ y),z). K(R(x \ R(x,y,z),x,y * z),u) = K(a(x,y,z),T(u,x * (y * z))). R(x,y,z) \ R(x * K(u,T(x,w)),y,z) = K(u,T(R(x,y,z),w)). R(x,y,z) \ R(x * K(u,T(x,w)),y,z) = K(u,R(T(x,w),y,z)). L(T(K(x,y),z * u),u,z) = (z * u) / (z * (u * K(y,x))). (x * y) / (x * (y * K(z,u))) = L(T(K(u,z),x * y),y,x). (x * y) / (x * (y * K(z,u))) = L(K(u,T(z,x * y)),y,x). (x * y) / (x * (z \ T(z * y,z))) = L(K(z,T(z * y,x * y)),y,x). L(K(x,T(x * y,z * y)),y,z) = (z * y) / (z * (x \ T(x * y,x))). (x * y) / (x * (K(z,u) * y)) = L(K(u,T(T(z,y),x * y)),y,x). L(K(x,T(T(y,z),u * z)),z,u) = (u * z) / (u * (K(y,x) * z)). K(R(x \ y,z,u),y) = K(R(x \ y,z,u),T(y,x)). K(R(x \ y,z,u),T(y,x)) = K(R(x \ y,z,u),y). K(R(x / y,z,u),x) = K(R(y \ x,z,u),x). K(R(x * K(y,x),z,u),T(x,y) * y) = K(R(((T(x,y) * y) / x) \ (T(x,y) * y),z,u),T(x,y) * y). K(R(((T(x,y) * y) / x) \ (T(x,y) * y),z,u),T(x,y) * y) = K(R(x * K(y,x),z,u),T(x,y) * y). K(L(x,y,z),u \ (w * x)) != v5 | K(L(x,y,z),u \ (x * w)) = v5. (x * y) \ ((x * (y * K(z,u))) * K(u,w)) = K(u,w) * L(K(z,u),y,x). K(x,y) * K(y,z) = (K(y,x) * K(z,y)) \ 1. (K(x,y) * K(z,x)) \ 1 = K(y,x) * K(x,z). K(x,L(1 / y,z,y \ 1) \ 1) = K(x,(y \ ((1 / y) \ 1)) * T(y,1)). K(a(x,y,z),T(x,x * (y * z))) != u | K(x \ R(x,y,z),R(x,x \ R(x,y,z),y * z)) = u. 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)). L(K(x,y),z,u) * K(y,x) = a(u,z,K(y,x)). 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 != K(y,L(1 / z,u,w) \ 1) | x = L(K(y,z),u,w). K(x,(y \ ((1 / y) \ 1)) * T(y,1)) = L(K(x,y),z,y \ 1). L(K(x,y),z,y \ 1) = K(x,(y \ ((1 / y) \ 1)) * T(y,1)). L(K(x,y),z,y \ 1) = K(x,(y \ y) * T(y,1)). L(K(x,y),z,y \ 1) = K(x,1 * T(y,1)). L(K(x,y),z,y \ 1) = K(x,1 * y). 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). x != K(y \ (z * (u \ 1)),u) | x = K(y \ (u \ z),u). K(x \ T(y,z \ 1),z) = K(((z \ 1) * x) \ (z \ y),z). 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)) \ (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). L(K(x * ((y * z) \ y),x),(y * z) \ y,z * y) = K((z * y) \ ((y * K(z,y)) * x),x). K(x \ ((x * y) * z),z) \ K(z * y,z) = a(x,y,K(z * y,z)). K(x,y \ ((y * z) * x)) * K(x * z,x) = a(y,z,K(x * z,x)). x * K(y,z) != a(u,w,K(y,z)) | x = L(K(z,y),w,u). K(x,y \ ((y * z) * x)) = L(K(x,x * z),z,y). L(K(x,x * y),y,z) = K(x,z \ ((z * y) * x)). L(K(x,y * x),y,z) = K(x,z \ ((z * y) * x)). L(K(x,x * (y \ z)),y \ z,z * (y / z)) = K(x,(z * (y / z)) \ (T(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 != y \ T(y * K(z,u),y) | x = K(T(y / z,y) \ y,u). K(x / y,z) * K(K(y \ x,z) * x,x) = K(T(x / (x / y),x) \ x,z). K(((x * y) \ (z * y)) \ 1,T(x,z)) = K(((x * y) \ (z * y)) \ 1,x). x != K(((y * z) \ (u * z)) \ 1,y) | x = K(u \ y,((y * z) \ z) \ 1). K(((x * y) \ (z * y)) \ 1,T(x,z)) = K(z \ x,((x * y) \ y) \ 1). K((x * y) \ (z * y),T(z,x)) = K(x \ z,((z * y) \ y) \ 1). x != K(y,(z \ u) \ 1) | x = K(y,u \ z). K((x * y) \ (z * y),T(z,x)) = K(x \ z,y \ (z * y)). K((x * y) \ (z * y),T(z,x)) = K(x \ z,T(z,y)). K(x,T(y \ (x * z),u) / z) = K(x,(x * z) \ (T((x * z) / y,u) * x)). K(x,(x * y) \ (T((x * y) / z,u) * x)) = K(x,T(z \ (x * y),u) / y). 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). x != T(y * L(y \ 1,y,z),u) | x = y * ((z * y) \ z). T(x,y) * ((z * T(x,y)) \ z) = x * ((z * x) \ z). (x * ((y * x) \ y)) \ T(x,z) = 1 / ((y * T(x,z)) \ y). x != T(y * K(z,y),u) \ T(y,u) | x = K(T(y,u),z). K(T(x,y),z \ (T(x,u) * (x \ w))) = K(T(x,y),z \ w). K(T(x,y),z \ (x \ u)) = K(T(x,y),z \ (T(x,w) \ u)). K(T(x,y),z \ (T(x,u) \ w)) = K(T(x,y),z \ (x \ w)). K(T(x,y),z \ (u * K(x,w))) = K(T(x,y),z \ u). K(T(x,y),z \ (u * (x \ 1))) = K(T(x,y),z \ (u * (T(x,w) \ 1))). K(T(x,y),z \ (u * (T(x,w) \ 1))) = K(T(x,y),z \ (u * (x \ 1))). x != K(T(y,z),u \ (z * (y \ 1))) | x = K(y,(z * (y \ 1)) / u). K(T(x,y),z \ (y * (T(x,u) \ 1))) = K(x,(y * (x \ 1)) / z). K(T(x,y),z \ (x \ y)) = K(x,(y * (x \ 1)) / z). x != K(T(y,z),u \ (y \ z)) | x = K(y,z / (u * y)). K(x,(y * (x \ 1)) / z) = K(x,y / (z * 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). K(x,K(y,z)) * (L(K(u,x),w,v5) * K(x,K(y,z))) = L(K(x,u),w,v5) \ 1. K(x / y,z) * K(K(y \ x,z) * x,x) = K(x / T(y,x),z). K(x / y,z) * K(x * K(y \ x,z),x) = K(x / T(y,x),z). x * K(x / T(y,x),z) = T(x * K(x / y,z),x). T(x * K(x / y,z),x) = x * K(x / T(y,x),z). T(x * K(x / y,z),x) != x * u | K(x / T(y,x),z) = u. x != K(y,(y * z) \ u) | x = K(y,z \ (y \ u)). K(x,T(y \ (x * z),u) / z) = K(x,z \ (x \ (T((x * z) / y,u) * x))). K(x,y \ (x \ (T((x * y) / z,u) * x))) = K(x,T(z \ (x * y),u) / y). K(x,y \ T(T((x * y) / z,u),x)) = K(x,T(z \ (x * y),u) / y). K(x,y \ T((x * y) / z,u)) = K(x,T(z \ (x * y),u) / y). K(x,T(y \ (x * z),u) / z) = K(x,z \ T((x * z) / y,u)). x != K(y,T(z \ (y * u),z) / u) | x = K(y,((z \ (y * u)) \ (y * u)) \ y). K(x,y \ T((x * y) / z,z)) = K(x,((z \ (x * y)) \ (x * y)) \ x). K(x,((y \ (x * z)) \ (x * z)) \ x) = K(x,z \ T((x * z) / y,y)). K(x,((y \ (x * z)) \ (x * z)) \ x) = K(x,z \ (y \ (x * z))). K(x,y \ (z \ (x * y))) = K(x,(x * y) \ ((z \ (x * y)) * x)). K(x,(x * y) \ ((z \ (x * y)) * x)) = K(x,y \ (z \ (x * y))). (x \ T(K(y \ x,z) * x,x)) \ (x * K(x / y,z)) = L(x,K(y \ x,z),x). (x * (y \ T(z * y,y))) \ (x * T(z,y)) = L(K(y,y * z),T(z,y),x). x != L(K(y,z),T(u,y),w) | x = L(K(y,z),u,w). (x * (y \ T(z * y,y))) \ (x * T(z,y)) = L(K(y,y * z),z,x). 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 != 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(L(x,y,z),u) = K(L(x,y,z),K(w,x) * 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). 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,R(y,z,u)) = K(K(w,y) * x,R(y,z,u)). K(K(x,y) * z,R(y,u,w)) = K(z,R(y,u,w)). K(x,R(y,z,u)) = K(K(y,w) * x,R(y,z,u)). K(K(x,y) * z,R(x,u,w)) = K(z,R(x,u,w)). K(R(x,y,z),u * K(w * u,u)) = K(R(T(x,T(w,u)),y,z),R(u,w,u)). K(R(T(x,T(y,z)),u,w),R(z,y,z)) = K(R(x,u,w),z * K(y * z,z)). x != K(y,z * K(u,z)) | x = K(T(y,u),z). K(R(T(x,T(y,z)),u,w),R(z,y,z)) = K(T(R(x,u,w),y * z),z). K(R(T(x,T(y,z)),u,w),R(z,y,z)) = K(R(T(x,y * z),u,w),z). K(R(T(x,T(y,z)),u,w),z) = K(R(T(x,y * z),u,w),z). x != K(R(T(y,T(z,u)),w,v5),u) | x = K(R(T(y,z),w,v5),u). K(R(T(x,y * z),u,w),z) = K(R(T(x,y),u,w),z). x != K(R(T(y,z * u),w,v5),u) | x = K(R(T(y,u * z),w,v5),u). K(R(T(x,y),z,u),w) = K(R(T(x,w * y),z,u),w). K(R(T(x,y * z),u,w),y) = K(R(T(x,z),u,w),y). K((x * y) \ ((x * z) * y),x) = K(R(T(z,y),x,y),x). x != T(y,z) * R(T(T(z,y),u),w,v5) | x = R(T(z,u),w,v5) * T(y,z). T(T(T(x,y),z) * T(y,x),T(T(x,y),z)) = R(T(x,z),y,x) * T(y,x). K(x,((x \ 1) * (y * z)) / ((x \ 1) * z)) != u | K(x,L(y,z,x \ 1)) = u. T(R(K(x,T(y,z)),z,u) \ 1,z * u) = K(y,((z / x) * u) \ (z * u)). T(R(K(T(x,y),z),y,u) * 1,y * u) = K(x,((y / z) * u) \ (y * u)). T(R(K(x,T(y,z)),z,u) * 1,z * u) = K(x,((z / y) * u) \ (z * u)). T(R(K(x,T(y,z)),z,u),z * u) = K(x,((z / y) * u) \ (z * u)). R(T(K(x,T(y,z)),z * u),z,u) = K(x,((z / y) * u) \ (z * u)). (x * y) \ ((x * K(z,u)) * y) = K(z,((x / u) * y) \ (x * y)). K(x,((y / z) * u) \ (y * u)) = (y * u) \ ((y * K(x,z)) * u). x != (y * z) \ ((y * K(u,w)) * z) | x = K(((y / u) * z) \ (y * z),w). K(x,((y / z) * u) \ (y * u)) = K(((y / x) * u) \ (y * u),z). K(((x / y) * z) \ (x * z),u) = K(y,((x / u) * z) \ (x * z)). 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)). ((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)). K(L(x,y \ z,y) \ 1,u \ (x * (y \ z))) = K(x \ 1,(y * (x \ u)) \ z). T((x \ 1) \ K(y,z),y) = K(x,y) * ((x \ 1) \ K(y,z)). K(x,y) * ((x \ 1) \ K(y,z)) = T((x \ 1) \ K(y,z),y). (x \ 1) * ((K(y,z) \ u) * T((K(y,z) \ u) \ ((x \ 1) \ u),y)) = ((x \ 1) * (K(x,y) * ((x \ 1) \ K(y,z)))) * (K(y,z) \ u). 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). K(x \ y,x) * ((z / (x \ y)) * (x \ y)) = T(z / (y / x),K(y,x)) * (x \ y). K(x * (y / (y / z)),T(z,x)) = K((y / (y / z)) * x,z). x != K((y / (y / z)) * u,z) | x = K(z * u,z). K(x * (y / (y / z)),T(z,x)) = K(z * x,z). x != K(y * z,y) | x = K(z * y,y). K(x * (y / (y / z)),T(z,x)) = K(x * z,z). 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)). T(K(x,y) * (y * x),z) = (K(x,y) * K(x * y,z)) * (y * x). (K(x,y) * K(x * y,z)) * (y * x) = T(K(x,y) * (y * x),z). (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). K(x,T((K(x,y) * z) / u,w)) != v5 | K(x,T(z / u,w)) = v5. (T(x \ y,x \ (z \ y)) \ 1) \ ((x \ y) \ 1) = K(x \ y,(z * x) \ 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(T(x * K(y \ z,x),x),u) = K(x,T(u,T(z \ (x * y),x) \ x)). K(x,T(y,T(z \ (x * u),x) \ x)) = K(T(x * K(u \ z,x),x),y). K(x,T(y,T(z \ (x * u),x) \ x)) = K(x * K(u \ z,x),y). K(x,T(y,T(z \ (x * u),x) \ x)) != w | K(x,T(y,u \ z)) = w. K(x \ y,x) * z = T(z / (y / x),K(y,x)) * (x \ y). T(x / (y / z),K(y,z)) * (z \ y) = K(z \ y,z) * x. x != T(y,K(z,u)) * (u \ z) | x = T(y * (u \ z),K(z,u)). K(x \ y,x) * z = T((z / (y / x)) * (x \ y),K(y,x)). T((x / (y / z)) * (z \ y),K(y,z)) = K(z \ y,z) * x. T(x * K(y \ z,y),K(z,y)) = K(y \ z,y) * x. T(x * (y * K(z \ x,z)),K(x,z)) = x * (K(z \ x,z) * y). T(x,R(x,y,z) * u) \ (x * K(x,u)) = L(x,u,R(x,y,z)) \ x. K(R(x,y,z) * u,x) * K(x,u) = L(x,u,R(x,y,z)) \ x. 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)). x != K(y,(z / (z / u)) \ (y \ ((u \ z) * u))) | x = K(y,u \ (y \ z)). K(x,L(x \ (y \ z),x,z / (z / y))) = K(x,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)). T((x * (y * K(T(z,u),y))) / x,u) = K(z,y * K(x,y)) * T(y * K(x,y),u). x != T((y * (z * K(T(u,w),z))) / y,w) | x = (y * (K(u,z) * T(z,w))) / y. K(x,y * K(z,y)) * T(y * K(z,y),u) = (z * (K(x,y) * T(y,u))) / z. K(T(x,y),z) * T(z * K(y,z),u) = (y * (K(x,z) * T(z,u))) / y. K(T(x,y),z) * T((y * z) / y,u) = (y * (K(x,z) * T(z,u))) / y. K(T(x,y),z) * T((y * z) / y,u) = (y * (T(z,u) * K(x,T(z,T(x,w))))) / y. (x * (T(y,z) * K(u,T(y,T(u,w))))) / x = K(T(u,x),y) * T((x * y) / x,z). x != K(y,z) * T((u * z) / u,y) | x = z * K(u,T(z,y)). (x * (T(y,T(z,x)) * K(z,T(y,T(z,u))))) / x = y * K(x,T(y,T(z,x))). (x * (T(y,T(z,x)) * K(z,T(y,T(z,u))))) / x = y * K(x,T(y,z)). (x * (T(y,T(z,x)) * K(z,y))) / x = y * K(x,T(y,z)). (T(x,y) * T(y,T(x,z))) / x = y * K(x,T(y,z)). T(T(x,y),y) * T(y,T(x,z)) = x * (y * K(x,T(y,z))). x != y * (z * K(y,T(z,u))) | x = T(y,T(z,u)) * z. T(T(x,y),y) * T(y,T(x,z)) = T(x,T(y,z)) * y. (T(x,T(y,z)) * y) / K(x,y) = T(x,y) * T(y,T(x,z)). x != (T(y,T(z,u)) * z) / K(y,z) | x = z * T(y,T(z,u)). T(x,y) * T(y,T(x,z)) = y * T(x,T(y,z)). x != T(y,z) * T(z,T(y,u)) | x = y * T(z * K(y,z),T(y,u)). x * T(y,T(x,z)) = y * T(x * K(y,x),T(y,z)). x * T(y * K(x,y),T(x,z)) = y * T(x,T(y,z)). x * y != z * T(x,u) | T(z * K(x,u),x) = y. T(x * K(y,T(x,z)),y) = T(x * K(y,x),T(y,z)). x * T(y,K(x,z)) = y * T(x,T(y,z)). x * T(y,T(x,z)) = y * T(x,K(y,z)). x * y != z * T(u,K(z,w)) | x \ T(z * u,K(z,w)) = y. x \ T(y * x,K(y,z)) = T(y,T(x,z)). x != T(y,T(z,u)) | x = T(T(y,z),K(z,u)). x \ T(y * x,K(y,z)) = T(T(y,x),K(x,z)). x \ T(y * x,K(y,z)) != u | T(y,T(x,z)) = u. T(x * K(y / z,x),z \ y) = T(x * K(z \ y,x),T(z \ y,y)). T(x * K(y \ z,x),T(y \ z,z)) = T(x * K(z / y,x),y \ z). T(x * K(y / z,x),z \ y) = T(x * K(z \ y,x),T(z \ y,z)). T(x * K(y \ z,x),T(y \ z,y)) = T(x * K(z / y,x),y \ z). T(x,K(y \ z,z)) = T(x * K(z / y,x),y \ z). T(x * K(y / z,x),z \ y) = T(x,K(z \ y,y)). x != T(y * K(z \ u,y),T(z \ u,z)) | x = T(y * K(z,y),T(z,u)). T(x * K(y / z,x),z \ y) = T(x * K(z,x),T(z,y)). x != T(y * K(z / u,y),u \ z) | x = T(y * K(u \ z,y),T(u \ z,z)). T(x * K(y,x),T(y,z)) = T(x * K(y \ z,x),T(y \ z,z)). T(x * K(y \ z,x),T(y \ z,z)) = T(x * K(y,x),T(y,z)). K(x,y) * T(x * K(z,x),T(z,y)) = T(x,z * ((y * (z \ y)) / y)). T(x,y * ((z * (y \ z)) / z)) = K(x,z) * T(x * K(y,x),T(y,z)). x != K(y,z) * T(y * K(u,y),T(u,z)) | x = T(y,T(z,u)). T(x,y * ((z * (y \ z)) / z)) = T(x,T(z,y)). T(x,T(y,z \ y)) = T(x,T(y,z)). x != T(y,T(z,u \ z)) | x = T(y,T(z,u \ 1)). T(x,T(y,z)) = T(x,T(y,z \ 1)). 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 != T(y * z,T(u,z \ 1)) | x = T(y * z,T(u,y)). T(x * y,T(z,y)) = T(x * y,T(z,x)). T(K(x,y),z \ 1) = K(x,T(y,z)). K(x,T(y,z \ 1)) = K(x,T(y,z)). x != K(y,T(z,u)) | x = K(y,z) * K(y,K(z,u)). T(K(x,y),z \ 1) = K(x,y) * K(x,K(y,z)). K(x,y) * K(x,K(y,z)) = T(K(x,y),z \ 1). K(x,T(y,z \ y)) = 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)). K(x,T(y,z \ u)) = K(x,T(y,u \ z)). K(x \ (y \ z),z) = K((y \ z) / x,T(z,y)). K((x \ y) / z,T(y,x)) = K(z \ (x \ y),y). T(T(x,y) * z,T(x,z)) = T(T(x,y) * z,x). T(x * L(L(y,z,u),w,v5),y) = T(x * L(L(y,z,u),w,v5),T(y,x)). T(x * L(L(y,z,u),w,v5),T(y,x)) = T(x * L(L(y,z,u),w,v5),y). 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(R(x,y,z) * u,T(x,u)) = K(R(x,y,z) * u,x). K(x,T(y,z \ x)) != u | K(x,T(y,z)) = u. K(x,T(y,z \ 1)) != u | K(x,T(y,z)) = u. K(x,T(y,z \ u)) != w | K(x,T(y,u \ z)) = w. K(x,T(T(y,z),u \ y)) != w | K(x,T(T(y,z),u)) = w. K(x,y) * z != T(K(x,y),u) | z = K(x,K(y,u)). K(x,K(y,z)) = K(x,K(y,z \ 1)). K(x,K(y,z \ 1)) = K(x,K(y,z)). K(x \ 1,K(y,z)) = K(y,K(z,x)). x != K(y,K(z,u)) | x = K(y,K(u,z)). K(x,K(y,z \ 1)) = K(x,K(z,y)). x != K(y,K(z,R(u,w,v5) \ 1)) | x = R(K(y,K(z,u \ 1)),w,v5). K(x,K(y,R(z,u,w))) = R(K(x,K(y,z \ 1)),u,w). R(K(x,K(y,z \ 1)),u,w) = K(x,K(y,R(z,u,w))). K(x,K(y,z \ K(u,w))) = K(x,K(y,K(w,u) * z)). K(K(x,y) * z,z) = K(x,K(y,z)). K(x \ 1,K(y,z)) = K(y,K(x,z)). x != K(L(y,z,u) \ 1,w) | x = L(K(y \ 1,w),z,u). K(x,K(y,L(z,u,w))) = L(K(z \ 1,K(x,y)),u,w). L(K(x \ 1,K(y,z)),u,w) = K(y,K(z,L(x,u,w))). K(x,K(y,z \ 1)) != u | K(x,K(y,z)) = u. (x * (K(y,z) * x)) * K(y,K(z,x)) != x * u | T(K(y,z) * x,x) = u. K(x,K(y,z / (u * z))) != w | K(x,K(y,u)) = w. K(x,K(y,z \ u)) != w | K(x,K(y,u \ z)) = w. K((x \ R(y,z,u)) / w,R(T(y,x),z,u)) = K(w \ (x \ R(y,z,u)),R(y,z,u)). x != T(T(y,z) * u,T(y,u)) | x = R(T(y,z),u,y) * T(u,y). T(T(x,y) * z,x) = R(T(x,y),z,x) * T(z,x). R(T(x,y),z,x) * T(z,x) = T(T(x,y) * z,x). K(x,T(y,(z \ u) \ x)) != w | K(x,T(y,u \ z)) = w. x != R(T(y,z),u,y) * T(u,y) | x = T(T(T(y,u),z) * T(u,y),T(T(y,u),z)). T(T(x,y) * z,x) = T(T(T(x,z),y) * T(z,x),T(T(x,z),y)). T(T(T(x,y),z) * T(y,x),T(T(x,y),z)) = T(T(x,z) * y,x). 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). 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(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)). x != R(K(y,K(z,u)),w,v5) | x = K(y,K(z,R(u,w,v5))). K(x,K(y,R(z,u,w))) = K(x,K(z,R(y,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))). K(x,K(y,R(z,u,w))) = K(x,K(z,R(x \ y,u,w))). K(x,K(y,R(x \ z,u,w))) = K(x,K(z,R(y,u,w))). x != K(y,R(K(z,u),w,v5)) | x = K(R(K(z,y),w,v5),u). K(x,K(y,R(z,u,w))) = K(R(K(z,x),u,w),y). K(R(K(x,y),z,u),w) = K(y,K(w,R(x,z,u))). x != K(y,R(K(y,z),u,w)) | x = 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 * R(T(y,z),u,w),T(y,v5)) = K(x * R(y,u,w),T(y,v5)). K(x,K(y,K(z,u) * w)) * y = T(y,K(x,w \ K(u,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(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(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,L(z,u,w))) = K(z,K(x \ y,L(x,u,w))). K(x,K(y \ z,L(y,u,w))) = K(y,K(z,L(x,u,w))). K(L(K(x,y),z,u),w) = K(w,K(y,L(x,z,u))). x != K(L(K(y,z),u,w),v5) | x = K(z,L(K(y,v5),u,w)). K(x,K(y,L(z,u,w))) = K(x,L(K(z,y),u,w)). K(x,L(K(y,z),u,w)) = K(x,K(z,L(y,u,w))). x * K(L(K(y,z),u,w),x) = T(x,K(z,L(y,u,w))). x != K(y,K(z,L(u,w,v5))) | x = K(L(K(u,z),w,v5),y). K(x,K(y,L(z,u,w))) = K(L(K(x,x \ y),u,w),z). K(L(K(x,x \ y),z,u),w) = K(x,K(y,L(w,z,u))). T(x,L(K(y,z),u,w)) = T(x,K(z,L(y,u,w))). x != T(y * (z * K(u,w)),L(K(w,u),z,y)) | x = L(K(w,u),z / K(w,u),y) \ (y * z). T(x * (y * K(z,u)),K(z,L(u,y,x))) = L(K(u,z),y / K(u,z),x) \ (x * y). L(K(x,y),z / K(x,y),u) \ (u * z) = T(u * (z * K(y,x)),K(y,L(x,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)). 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. T(x,K(y,K(z,u) * w)) = T(x,K(y,w \ K(u,z))). T(x,K(y,z \ K(u,w))) = T(x,K(y,K(w,u) * z)). T(x,K(y,z \ K(u,y))) = T(x,K(y,z)). T(x,K(y,z \ 1)) = T(x,K(y,z)). T(x,K(y,z \ 1)) = T(x,K(z,y)). T(x,K(y,z \ u)) = T(x,K(y,u \ z)). T(x,K(y,z \ u)) = T(x,K(u \ z,y)). T(x,K(y \ z,u)) = T(x,K(u,z \ y)). T(x,K(y,z)) = T(x,K(y,z \ x)). T(x,K(y,z \ x)) = T(x,K(y,z)). L(x,y,z) \ L(T(x,K(u,w)),y,z) = K(L(x,y,z),K(u,w \ x)). T(x,K(y \ z,u)) != w | T(x,K(z \ y,u)) = w. T(x,K(y \ z,z)) != u | T(x,K(z,y)) = u. T(x,K(y,z)) = T(x * K(y / z,x),z \ y). T(x * K(y / z,x),z \ y) = T(x,K(y,z)). T(T(x,K(y,z)),y / z) = T(x,z \ y). T(K(x,y) * z,x / z) = T(K(x,y) * z,z \ x). K(x,y) * T(K(y,x) * z,y / z) = T(z,z \ T(y,x)). T(x * K(y,z),y / x) * K(z,y) = T(x,x \ T(y,z)). T(x,x \ T(y,z)) * K(y,z) = T(x * K(y,z),y / x). x != T(y,y \ T(z,u)) * K(z,u) | x = (y / z) * T(y * (z / y),u). T(x * K(y,z),y / x) = (x / y) * T(x * (y / x),z). (x / y) * T(x * (y / x),z) = T(x * K(y,z),y / x). (x / (y * x)) * T(x * y,z) = T(x * K(y * x,z),(y * x) / x). T(x * K(y * x,z),(y * x) / x) = (x / (y * x)) * T(x * y,z). x != K(y,z) * u | x = R(z * y,K(y,z),u) \ ((y * z) * u). x \ R(x,y,R(x,z,u)) = R(x * (y * R(x,z,u)),K(y * R(x,z,u),x),K(x,y)) \ (((y * R(x,z,u)) * x) * K(x,y)). R(x * (y * R(x,z,u)),K(y * R(x,z,u),x),K(x,y)) \ (((y * R(x,z,u)) * x) * K(x,y)) = x \ R(x,y,R(x,z,u)). K(R(x,y,z) * u,T(x,u)) * K(T(x,u),u) = T(x,u) \ R(T(x,u),u,R(T(x,u),y,z)). K(T(T(x,y) * z,x) \ u,T(x,z)) = K((T(T(x,z),y) * T(z,x)) \ u,T(x,z)). K((T(T(x,y),z) * T(y,x)) \ u,T(x,y)) = K(T(T(x,z) * y,x) \ u,T(x,y)). 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)). K(L(x,y,z),K(u,w)) = K(L(x,y,z),K(u,w \ x)). K(L(x,y,z),K(u,w \ x)) = K(L(x,y,z),K(u,w)). K(L(x,y,z),K(u,w \ x)) = K(u,K(w,L(x,y,z))). (K(x,K(y,L(z,u,w))) * v5) / (x \ v5) = T(x,K(y \ z,L(z,u,w))). T(x,K(y \ z,L(z,u,w))) = (K(x,K(y,L(z,u,w))) * v5) / (x \ v5). T(x * K(y * x,z),y) = (x / (y * x)) * T(x * y,z). (x / (y * x)) * T(x * y,z) = T(x * K(y * x,z),y). x != (K(y,z) * u) / (y \ u) | x = T(y,z). T(x,K(y \ z,L(z,u,w))) = T(x,K(y,L(z,u,w))). T(x,K(y \ z,L(y,u,w))) = T(x,K(z,L(y,u,w))). T(K(x,y) * z,z) = z * K(x,y). T(x * K(x / y,z),x) = x * K(y \ x,z). (x \ (x * K(y \ x,z))) \ (x * K(x / y,z)) = L(x,K(y \ x,z),x). K(x / T(y,x),z) = K(y \ x,z). K(x * y,z) = K((x \ 1) \ y,z). K((x \ 1) \ y,z) = K(x * y,z). K(x \ y,z) \ (y * K(y / x,z)) = L(y,K(x \ y,z),y). L(x,K(y \ x,z),x) = x. L(x,K(y,z),x) = x. x * K(y,z) = (1 / x) \ K(y,z). (1 / x) \ K(y,z) = x * K(y,z). (1 / x) * (x * K(y,z)) = K(y,z). (1 / x) \ K(y,z) != x * u | K(y,z) = u. x \ K(y,z) = (x \ 1) * K(y,z). (x \ 1) * K(y,z) = x \ K(y,z). L(K(x,y),z \ 1,z) = K(x,y). L(K(x,y),z,z \ 1) = K(x,y). (1 / x) \ K(y,z) != u | u = x * K(y,z). (1 / x) \ K(y,z) != u | x * K(y,z) = u. K(x \ (y \ 1),z) = K((y * x) \ 1,z). K((x * y) \ 1,z) = K(y \ (x \ 1),z). K(x,y) * (1 / z) = K(x,y) / z. (x \ K(y,z)) \ (x \ 1) = K(z,y). x * y != z / (u \ z) | x \ u = y. K(x,y) \ z = 1 / (z \ K(x,y)). 1 / (x \ K(y,z)) = K(y,z) \ x. x * K(y,z) = (K(z,y) / x) \ 1. (K(x,y) / z) \ 1 = z * K(y,x). (K(x,y) \ z) \ 1 = z \ K(x,y). 1 / (x * K(y,z)) = K(z,y) / x. (K(x,y) * z) \ 1 = z \ K(y,x). T(x,y * ((K(z,u) / w) \ v5)) = T(x,y * (((w * K(u,z)) \ 1) \ v5)). T(x,y * (((z * K(u,w)) \ 1) \ v5)) = T(x,y * ((K(w,u) / z) \ v5)). x != K((y \ 1) \ z,u) | x = K(y * z,u). K((x * (y \ 1)) \ 1,z) = K(y * (x \ 1),z). x != K((y * ((z \ 1) \ 1)) \ u,w) | x = K((y * z) \ u,w). K((x \ 1) * (y \ 1),z) = K((y * x) \ 1,z). K(x * (((x \ y) \ 1) \ 1),z) / (x \ T(y,z)) = 1 / (x \ y). x != K(y * ((z \ 1) \ 1),u) | x = K(y * z,u). K(((x \ 1) * y) \ 1,z) = K((y \ 1) * x,z). T(x,y) / ((1 / z) \ x) = K((z \ 1) * ((z \ 1) \ x),y) / z. K(x,y) / (z \ T(x,y)) = 1 / (z \ x). (1 / (x \ y)) \ K(y,z) = x \ T(y,z). (x \ y) * K(y,z) = x \ T(y,z). x * K(y,z) = (y / x) \ T(y,z). (x / y) \ T(x,z) = y * K(x,z). T(x,y) * K(x * y,z) = y \ T(x * y,z). (x \ T(y,z)) * K(z,y) != u | u = x \ y. (x \ T(y,z)) * K(z,y) != u | x \ y = u. (x / y) * (y * K(x,z)) = T(x,z). x * y != T(z / u,u) | (u \ z) / y = x. (x \ y) / (z * K(y / x,x)) = (y / x) / z. (x / (y * x)) * (x * y) = T(x,y). T(x,y) = (x / (y * x)) * (x * y). x * y != (z / (u * z)) * (z * u) | T(z,u) / y = x. T(x,y) / (x * y) = R(1 / y,y,x). T(x,y) * K(x * y,z) = (x / (y * x)) * T(x * y,z). (x / (y * x)) * T(x * y,z) = T(x,y) * K(x * y,z). 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). R(1 / x,x,x \ y) = R(1 / x,x,y / x). R(1 / x,x,y / x) = R(1 / x,x,x \ y). x \ y = (1 / (x \ T(y,z))) \ K(z,y). (1 / (x \ T(y,z))) \ K(z,y) = x \ y. (1 / x) \ K(y,z) = (T(z,y) / x) \ z. (T(x,y) / z) \ x = (1 / z) \ K(y,x). K(x,L(L(x,y,z),u,w) / v5) = K(x,(1 / (v5 \ T(L(L(x,y,z),u,w),v6))) \ K(v6,L(L(x,y,z),u,w))). K(x,(1 / (y \ T(L(L(x,z,u),w,v5),v6))) \ K(v6,L(L(x,z,u),w,v5))) = K(x,L(L(x,z,u),w,v5) / y). T(x,y) * K(z,K(u,x * y)) = y \ T(x * y,K(z,u)). (x \ y) / (z * K(x \ y,x)) = (y / x) / z. R(1 / x,x,x \ y) \ (y / x) = x * (y / x). (x \ y) / (z / T(x,x \ y)) = (y / x) / (z / x). ((x \ y) / y) * (x * (y / x)) = y / x. K(x,(y * (z / y)) / ((z / y) * x)) = K(x,((y \ z) / z) \ (x \ 1)). x != (y / z) / (1 / z) | x = L(y,z,z \ 1). (x \ y) / (1 / T(x,x \ y)) = L(y,x,x \ 1). L(x,y,y \ 1) != z | (y \ 1) \ (y \ x) = z. x != (y / (z * y)) * T(y * z,u) | x = T(y * K(z * y,u),z). T(x,y) * K(x * y,z) = T(x * K(y * x,z),y). T(x * K(y * x,z),y) = T(x,y) * K(x * y,z). K(x,y * z) * T(y * K(z * y,x),z) = T(T(y,z),K(x,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)). T(x,y * ((z \ K(u,u \ 1)) \ w)) = T(x,y * ((K(u,u \ 1) / z) \ w)). T(x,y * ((K(z,z \ 1) / u) \ w)) = T(x,y * ((u \ K(z,z \ 1)) \ w)). 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 != T(T(y,z),K(u,y * w)) | x = T(T(y,K(w,u)),z). K(x,y * z) * T(y * K(z * y,x),z) = T(T(y,K(z,x)),z). x != T(T(y,K(z,u)),z) | x = T(y,T(z,u)). K(x,y * z) * T(y * K(z * y,x),z) = T(y,T(z,x)). x != T(y,z * ((K(u,u \ 1) / w) \ v5)) | x = T(y,(K(u \ 1,u) * z) * ((w \ 1) \ v5)). T(x,y * ((z \ K(u,u \ 1)) \ w)) = T(x,(K(u \ 1,u) * y) * ((z \ 1) \ w)). T(x,(K(y \ 1,y) * z) * ((u \ 1) \ w)) = T(x,z * ((u \ K(y,y \ 1)) \ 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. K((T(x,y) \ R(x,z,u)) / w,R(x,z,u)) = K(w \ (T(x,y) \ R(x,z,u)),R(x,z,u)). x != T(y,K(z \ u,L(z,w,v5))) | x = T(y,K(u,L(z,w,v5))). L(K(x,x \ y),z / K(x,x \ y),u) \ (u * z) = T(u * (z * K(x \ y,x)),K(y,L(x,z,u))). x != K(T(y,z) \ u,T(z,w)) | x = K(y \ u,T(z,w)). K((T(T(x,y),z) * T(y,x)) \ u,T(x,y)) = K((T(x,z) * y) \ u,T(x,y)). K((T(T(x,y),z) * T(y,x)) \ u,T(x,y)) = K(u / (T(x,z) * y),x). x != K((T(y,z) * u) \ w,y) | x = K(u \ (y \ w),y). K(x / (T(y,z) * u),y) = K(T(u,y) \ (T(y,u) \ x),T(y,u)). K(T(x,y) \ (T(y,x) \ z),T(y,x)) = K(z / (T(y,u) * x),y). x != K(y \ (T(z,u) \ w),T(z,v5)) | x = K(y \ (z \ w),T(z,v5)). K(x / (T(y,z) * u),y) = K(T(u,y) \ (y \ x),T(y,u)). K(T(x,y) \ (y \ z),T(y,x)) = K(z / (T(y,u) * x),y). K((x \ y) / z,x) = K(y / (T(x,u) * z),x). K(x / (T(y,z) * u),y) = K((y \ x) / u,y). K(x / (y * z),z) = K(x / (T(z,u) * y),z). K(x / (T(y,z) * u),y) = K(x / (u * y),y). K(x / (y * z),y) = K((y \ x) / z,y). K((x \ y) / z,x) = K(y / (x * z),x). K(x / (y * z),y) != u | K(x / (z * y),y) = u. x != K(y / (T(z,u) * w),z) | x = K((T(z,u) \ y) / w,z). K(x / (y * z),z) = K((T(z,u) \ x) / y,z). K((T(x,y) \ z) / u,x) = K(z / (u * x),x). T(x,K(y \ 1,y) * (z * ((u \ 1) \ w))) = T(x,z * ((u \ K(y,y \ 1)) \ w)). x != T(y,K(z \ 1,z) * u) | x = T(y,u). T(x,y * ((z \ K(u,u \ 1)) \ w)) = T(x,y * ((z \ 1) \ w)). x * y != T(z,u * ((w \ K(v5,v5 \ 1)) \ v6)) | x \ T(z,u * ((w \ 1) \ v6)) = y. x \ T(x,y * ((z \ 1) \ u)) = K(x,y * ((z \ K(w,w \ 1)) \ u)). K(x,y * ((z \ K(u,u \ 1)) \ w)) = x \ T(x,y * ((z \ 1) \ w)). K(x,y * ((z \ K(u,u \ 1)) \ w)) = K(x,y * ((z \ 1) \ w)). K(x,y * ((1 / z) \ u)) = K(x,y * ((z \ 1) \ u)). K(x,(y \ 1) * ((1 / y) \ z)) = K(x,z). K(x,K(y \ 1,y) * z) = K(x,z). K(x,((y \ 1) \ 1) \ z) = K(x,y \ z). K(x,y) = K(x,y * K(z,z \ 1)). K(x,y * K(z,z \ 1)) = K(x,y). K(x,(y \ L(y * (z / y),u,w)) * y) = K(x,L(z * K(y,y \ 1),u,w)). K(x,(K(y \ 1,y) * z) / u) = K(x,z / u). K(x,y \ z) = K(x,y \ ((z \ 1) \ 1)). K(x,y \ ((z \ 1) \ 1)) = K(x,y \ z). K(x,(K(y,y \ 1) * z) \ u) = K(x,z \ u). K(x,y / (K(z,z \ 1) * u)) = K(x,y / u). K(x,y \ (K(z,z \ 1) * u)) = K(x,y \ u). K(x \ 1,(y / z) \ x) = K(x \ 1,z / (y * (x \ 1))). K(x \ 1,y / (z * (x \ 1))) = K(x \ 1,(z / y) \ x). R(K(x \ 1,y \ x),z,u) = K(x \ 1,R(y * (x \ 1),z,u) \ 1). K(x \ 1,R(y * (x \ 1),z,u) \ 1) = R(K(x \ 1,y \ x),z,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) \ u) = K(x,z \ u). K(x,(y * (1 / z)) \ u) = K(x,(y * (z \ 1)) \ u). K(x,y / (K(z \ 1,z) * u)) = K(x,y / u). K(x,y / (z * (u / w))) = K(x,y / (z * (u / ((w \ 1) \ 1)))). K(x,y / (z * (u / ((w \ 1) \ 1)))) = K(x,y / (z * (u / w))). K(x,y \ (((z \ 1) \ 1) * u)) = K(x,y \ (z * u)). K(x,((((y \ 1) \ 1) * z) \ u) \ w) = K(x,((y * z) \ u) \ w). K(x,L(K(y \ 1,y) * z,u,w) \ v5) = K(x,L(z,u,w) \ v5). K(x,y / ((((z \ 1) \ 1) \ u) * w)) = K(x,y / ((z \ u) * w)). K(x,y / ((z / (1 / u)) * w)) = K(x,y / ((z / (u \ 1)) * w)). K(x,(y * z) / u) = K(x,(y * ((z \ 1) \ 1)) / u). K(x,(y * ((z \ 1) \ 1)) / u) = K(x,(y * z) / u). x != K(y,(z * (y \ 1)) / u) | x = K(y,z / (u * y)). K(x \ 1,(y * x) / z) = K(x \ 1,y / (z * (x \ 1))). K(x \ 1,y / (z * (x \ 1))) = K(x \ 1,(y * x) / z). K(x \ 1,y / R(z,x,x \ 1)) = K(x \ 1,(y * x) / (z * x)). x != K(y,z / (u * (y / u))) | x = K(y,(u * (y / u)) \ z). K(x,y / (z * (x / ((z \ 1) \ 1)))) = K(x,(z * (x / z)) \ y). K(x,L((y \ 1) * z,u,w) \ v5) = K(x,L((1 / y) * z,u,w) \ v5). K(x,L((1 / y) * z,u,w) \ v5) = K(x,L((y \ 1) * z,u,w) \ v5). K(x,y / ((z / u) * w)) = K(x,y / ((z / ((u \ 1) \ 1)) * w)). K(x,y / ((z / ((u \ 1) \ 1)) * w)) = K(x,y / ((z / u) * w)). x != K(y,z / (u * (y / ((u \ 1) \ 1)))) | x = K(y,y \ z). K(x,(y * (x / y)) \ z) = K(x,x \ z). K(x,K(y \ x,y) * z) = K(x,x \ (z * x)). K(x,x \ (y * x)) = 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). K(x * y,K(y,x) * z) = K(x * y,z). K(x,y) = K(x,K(z,z \ x) * y). K(x,K(y,y \ x) * z) = K(x,z). (K(x,K(y \ z,y)) * K(z,x)) \ (x * K(y \ z,y)) = T(K(y \ z,y) * x,z). K(x,y) * ((K(z,z \ x) * y) * x) = x * (K(z,z \ x) * y). T((K(x,y) * z) * K(y * x,z),y * x) = K(x,y) * z. (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). T(x,y) * T(K(z,z \ x) * y,x) = x * (K(z,z \ x) * y). T(x,K(y,y \ x) * z) = T(x,z). (x * (K(y,y \ x) * z)) / (z * T(x,z)) = R(K(y,y \ x),z,T(x,K(y,y \ x) * z)). R(K(x,x \ y),z,T(y,K(x,x \ y) * z)) = (y * (K(x,x \ y) * z)) / (z * T(y,z)). x != K(y \ 1,(z * y) / (u * y)) | x = K(y \ 1,z / u). K(x \ 1,y / R(z,x,x \ 1)) = K(x \ 1,y / z). K(x \ 1,y / T(z * (x \ 1),x)) = K(x \ 1,y / (x \ z)). x != K(y \ 1,z / T(u,y)) | x = K(y \ 1,z / u). K(x \ 1,y / (x \ z)) = K(x \ 1,y / (z * (x \ 1))). K(x \ 1,y / (z * (x \ 1))) = K(x \ 1,y / (x \ z)). x != K(y \ 1,z / (u * (y \ 1))) | x = K(y \ 1,(u / z) \ y). K(x \ 1,y / (x \ z)) = K(x \ 1,(z / y) \ x). R(K(x \ 1,(y / (z / u)) \ x),z / u,u) = K(x \ 1,z / ((x \ y) * u)). K(x \ 1,R(y * (x \ 1),z,u) \ 1) != w | K(R(x,z,u) \ 1,y \ x) = w. K(L(x,y,z) \ 1,u \ x) = K(1 / x,L((x \ 1) * u,y,z) \ 1). K(1 / x,L((x \ 1) * y,z,u) \ 1) = K(L(x,z,u) \ 1,y \ x). K(x \ 1,L((x \ 1) * y,z,u) \ 1) = K(L(x,z,u) \ 1,y \ x). K(x,x * (x \ L(x * (y / x),z,u))) = K(x,L(y * K(x,x \ 1),z,u)). K(x,L(x * (y / x),z,u)) = K(x,L(y * K(x,x \ 1),z,u)). K(x,L(y * K(x,x \ 1),z,u)) = K(x,L(x * (y / x),z,u)). K(x,L(K(x,x \ 1) * y,z,u)) = K(x,L(x * (y / x),z,u)). x != K(y,L(K(y,y \ 1) * z,u,w)) | x = K(y,L(y \ ((y \ 1) \ z),u,w)). K(x,L(x * (y / x),z,u)) = K(x,L(x \ ((x \ 1) \ y),z,u)). K(x,L(x \ ((x \ 1) \ y),z,u)) = K(x,L(x * (y / x),z,u)). x != K(y,L(y * (z / y),u,w)) | x = K(y,L(z,u,w)). K(x,L(x \ ((x \ 1) \ y),z,u)) = K(x,L(y,z,u)). K(x,y \ (x \ (y * ((x \ 1) \ z)))) = K(x,L(z,x,y)). K(R(x,y / z,z) \ 1,(u / (y / z)) \ x) = K(x \ 1,y / ((x \ u) * z)). (K(x,K(y,y \ z)) * K(z,x)) \ (x * K(y \ z,y)) = T(K(y \ z,y) * x,z). (K(x,K(y,z)) * K(z,x)) \ (x * K(y \ z,y)) = T(K(y \ z,y) * x,z). K(x,T(y,z)) \ (y * K(z \ x,z)) = T(K(z \ x,z) * y,x). K(x,T(y,z)) * (x * K(z \ y,z)) = T(K(z \ y,z) * x,y). T(x,T(y,z)) * K(z \ y,z) = T(K(z \ y,z) * x,y). x != T(y,T(z,u)) * K(u \ z,u) | x = K(u \ z,u) * T(y,z). 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). 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). 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). x \ T(x * y,z) = (x \ K(z,u)) * T((x \ K(z,u)) \ y,z). (x \ K(y,z)) * T((x \ K(y,z)) \ u,y) = x \ T(x * u,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 != (y \ T(y * z,u)) \ z | x = K(u,(y \ 1) \ z). K(x,(y \ K(x,z)) \ u) = K(x,(y \ 1) \ u). x != K(y,((z \ 1) \ 1) \ u) | x = K(y,z \ u). K(x,((y \ 1) \ K(x,z)) \ u) = K(x,y \ u). K(x,((K(y,x) * (z \ 1)) \ 1) \ u) = K(x,z \ u). K(x,(((y \ 1) * K(z,x)) \ 1) \ u) = K(x,y \ u). x != K(y,((((z \ 1) \ 1) * u) \ w) \ v5) | x = K(y,((z * u) \ w) \ v5). K(x,(y \ 1) \ z) = K(x,((y * K(u,x)) \ 1) \ z). K(x,((y * K(z,x)) \ 1) \ u) = K(x,(y \ 1) \ u). K(x,((T(y,x) / z) \ 1) \ u) = K(x,((y / z) \ 1) \ u). K(T(x,y * K(z * x,y)),T(u,x * z)) = K((x * K(x * z,x)) * K(x,y),u). x != K(T(y,z),T(u,y * w)) | x = K(T(y,z),T(u,w)). K((x * K(x * y,x)) * K(x,z),u) = K(T(x,z * K(y * x,z)),T(u,y)). K(T(x,y * K(z * x,y)),T(u,z)) = K((x * K(x * z,x)) * K(x,y),u). x != K(T(y,z * K(u * y,z)),w) | x = K(y * K(T(y,u),z),w). K((x * K(x * y,x)) * K(x,z),u) = K(x * K(T(x,y),z),T(u,y)). x != K(y * K(T(y,z),u),T(w,z)) | x = K(K(z,y) * T(y,u),w). K((x * K(x * y,x)) * K(x,z),u) = K(K(y,x) * T(x,z),u). K(T(x,y) * K(x * z,x),u) = K(K(z,x) * T(x,y),u). K(K(x * y,x) * T(x,z),u) = K(K(y,x) * T(x,z),u). x != K(K(y,z) * T(z,u),T(w,u)) | x = K(z,T(w,T(y,u))). K(K(x * y,x) * T(x,z),T(u,z)) = K(x,T(u,T(y,z))). K(x,T(y,T(x * z,u))) = K(x,T(y,T(z,u))). K(x,x * y) = K(x,T(x * y,T(y,z))). K(x,T(x * y,T(y,z))) = K(x,x * y). K(x,T(x * T(y,z),y)) = K(x,x * T(y,z)). x != K(y \ z,T((y \ z) * y,u)) | x = K(y \ z,T(z,T(u,z))). K(T(x,y) \ z,(T(x,y) \ z) * T(x,y)) = K(T(x,y) \ z,T(z,T(x,z))). K(T(x,y) \ z,T(z,T(x,z))) = K(T(x,y) \ z,(T(x,y) \ z) * T(x,y)). x != K(y,y * z) | x = K(y,z * y). K(T(x,y) \ z,T(z,T(x,z))) = K(T(x,y) \ z,T(x,y) * (T(x,y) \ z)). K(T(x,y) \ z,T(z,T(x,z))) = K(T(x,y) \ z,z). K(T(x,y) \ z,T(z,x)) = K(T(x,y) \ z,z). x * y != (K(z,u) / x) \ 1 | y = K(u,z). 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)). R(x,y / x,z) \ R(T(x,T(u,y)),y / x,z) = K((y * z) / ((y / x) * z),u). K(R(x,y / x,z),T(u,y)) = K((y * z) / ((y / x) * z),u). K(R(x,y / x,z),u) = K((y * z) / ((y / x) * z),T(u,y)). 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,x,z),u) = R(K(x \ y,u),y,z). R(K(x \ y,z),y,u) = K(R(x \ y,x,u),z). T(x * L(L(y,z,u),x,y),y * K(x,y)) = L(y * K(x,y),z,u) * T(x,y). x != L(y * K(z,y),u,w) * T(z,y) | x = T(z,y) * L(y,u,w). T(x * L(L(y,z,u),x,y),y * K(x,y)) = T(x,y) * L(y,z,u). T(x * L(L(y,x,y),z,u),y * K(x,y)) = T(x,y) * L(y,z,u). x != T(y,z * K(u,z)) | x = T(y,T(z,u)). T(x,y) * L(y,z,u) = T(x * L(L(y,x,y),z,u),T(y,x)). T(x * L(L(y,x,y),z,u),T(y,x)) = T(x,y) * L(y,z,u). x != T(y * L(L(z,u,w),v5,v6),T(z,y)) | x = T(y * L(L(z,u,w),v5,v6),z). T(x,y) * L(y,z,u) = T(x * L(L(y,x,y),z,u),y). T(x * L(L(y,x,y),z,u),y) = T(x,y) * L(y,z,u). K(x,L(L(x,y,x),z,u) / (y \ 1)) * (y \ (T(y,x) * L(x,z,u))) = L(L(x,y,x),z,u). 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,y,z),u) = K(x,L(u,x * (y / u),z)). K(x,L(y,x * (z / y),u)) = K(L(x,z,u),y). x != K(L(y,z,u),u) | x = K(y,u). K(x,L(y,z,y)) = K(x,y). K(x,y \ K(z,L(x,u,w))) = K(x,y \ 1). T(x,L(y,z,y)) = x * K(x,y). 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. x != T(y * L(z,y,z),z) | x = T(y,z) * z. T(x * L(y,x,y),L(y,z,y)) = T(x,y) * y. x * (L(x,y,x) \ z) = (z / L(x,y,x)) * x. (x / L(y,z,y)) * y = y * (L(y,z,y) \ x). x != K(y,(T(z,u) \ w) \ K(u,z)) | x = K(y,w \ z). K(x,(T(L(x,y,z),u) \ w) \ 1) = K(x,w \ L(x,y,z)). K(x,y \ K(z,L(L(x,u,w),v5,v6))) = K(x,y \ 1). 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). T(x,y * K(L(x,z,u),w)) = T(x,y). K(K(L(x,y,z),u) * w,x) = K(w,x). T(x,L(x,y,z) * u) = T(x,u * L(x,y,z)). 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). K(x * T(L(y,z,u),w),y) = K(x * L(y,z,u),y). K(R(L(x,y,x),z,u),w) = K(R(x,z,u),w). ((x / L(T(y,z),u,T(y,z))) * K(y,z)) * y = T(y,z) * (L(T(y,z),u,T(y,z)) \ x). K(x,T(y,z * L(y,u,w))) = K(x,T(y,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 * u)). x != K(y,T(z,u * y)) | x = K(y,T(z,u)). K(x * y,T(x,z * y)) = K(x * y,T(x,z)). x != K(y * z,T(y,u)) | x = K(T(y,w) * z,T(y,u)). K(x * y,T(x,z)) = K(T(x,u) * y,T(x,z * y)). K(T(x,y) * z,T(x,u * z)) = K(x * z,T(x,u)). K(x * (y \ z),T(x,z)) = K(x * (y \ z),T(x,y)). K(x * L(T(y,z),u,w),y) = K(x * L(y,u,w),y). T(T(x * K(y * L(x,z,u),x),w),y) = R(T(x,w),y,L(T(x,w),z,u)). K(x,T(y,K(L(x,z,u),w) * v5)) = K(x,T(y,v5)). K(x,T(y,K(x,z) * u)) = K(x,T(y,u)). K(x,T(y,z / L(x,u,w))) = K(x,T(y,L(x,u,w) \ z)). K(x,y \ (K(x,z) * u)) = K(x,T((K(x,z) * u) / y,u)). K(x,T((K(x,y) * z) / u,z)) = K(x,u \ (K(x,y) * z)). K(x,T(y,T(z,x) \ u)) = K(x,T(y,z \ u)). K(x,T(y,z * K(x,u))) = K(x,T(y,z)). 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,(u \ (x * z)) \ x)). K(x,T(y,(z \ (x * u)) \ x)) = K(x,T(y,u \ z)). 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))). 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)). T(x,T(y,z \ (x * u))) = x * K(x,T(y,z \ u)). K(x,T(T(x \ y,z),u)) = K(x,T(T(x \ y,z),u \ y)). K(x,T(T(x \ y,z),u \ y)) = K(x,T(T(x \ y,z),u)). T(x,T(y,z \ (x * u))) = T(x,T(y,z \ u)). T(x,T(y,z \ u)) = T(x,T(y,z \ (x \ u))). T(x,T(y,z \ (x \ u))) = T(x,T(y,z \ u)). T(x,y \ (x \ z)) = T(x,T(y \ (x \ z),y \ z)). T(x,T(y \ (x \ z),y \ z)) = T(x,y \ (x \ z)). K(x,(L(T(x,y),z,u) \ w) \ 1) = K(x,w \ L(x,z,u)). x != K(y,T(z,L(y,u,w) \ v5)) | x = K(y,T(z,v5)). K(x,T(y,z / L(x,u,w))) = K(x,T(y,z)). 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(x * y,z)) = K(x,T(x * y,z * y)). K(x,T(x * y,z * y)) = K(x,T(x * y,z)). x != K(y,T(y * z,u)) | x = K(y,T(z * y,u)). K(x,T(x * y,z * y)) = K(x,T(y * x,z)). L(K(x,T(y * x,z)),y,z) = (z * y) / (z * (x \ T(x * y,x))). (x * y) / (x * (z \ T(z * y,z))) = L(K(z,T(y * z,x)),y,x). K(x,T(y / z,y)) = K(x,z \ (K(x,u) * y)). 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,y \ ((x \ z) * x)). K(x,y \ ((x \ z) * x)) = K(x,y \ z). K(x,y \ (x * z)) = K(x,y \ (z * x)). K(x,y \ (z * x)) = K(x,y \ (x * z)). K(x,T(y \ (K(x,z) * u),w)) = T(K(x,y \ u),w). 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 \ ((x \ 1) * (z * x))) = K(x,y \ z). 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,y \ (z \ T(u,x))) = K(x,y \ (z \ u)). K(x / y,z \ (x / y)) = K(x / y,z \ (y \ x)). (K(x,K(y,z \ u)) * w) / (y \ w) = T(y,K(x,z \ (y \ u))). K(x,y \ z) = K(x,y \ ((T(u,x) / z) \ u)). K(x,y \ ((T(z,x) / u) \ z)) = K(x,y \ u). x != K(y,((T(z,y) / u) \ 1) \ ((T(z,y) / u) \ z)) | x = u \ ((T(z,y) / u) \ z). K(x,((T(y,x) / z) \ 1) \ z) = z \ ((T(y,x) / z) \ y). K(x,T(y \ (K(x,z) * u),w)) = K(x,T(y \ u,w)). x != K(y / z,u \ (z \ y)) | x = K(z \ y,(u * z) \ y). K(x / y,z \ (x / y)) = K(y \ x,(z * y) \ x). K(x,T(y \ x,z)) = K(x,T(y \ (u / (u / x)),z)). K(x,T(y \ (z / (z / x)),u)) = K(x,T(y \ x,u)). x != K(y \ z,(u * y) \ z) | x = K(y \ z,y \ (u \ z)). K(x / y,z \ (x / y)) = K(y \ x,y \ (z \ x)). K(x / (x / y),z \ (u / (u / y))) = K(y,T(z \ y,x)). K(x,T(T(x \ y,z),y \ u)) = K(x,T(T(x \ y,z),u)). K(x,y \ L(T(x,z),u,w)) = K(x,y \ L(x,u,w)). K((x \ y) \ T(y,x),z \ L(T(x,x \ y),u,w)) = K((x \ y) \ T(y,x),z \ L((x \ y) \ T(y,x),u,w)). K((x \ y) \ T(y,x),z \ L((x \ y) \ T(y,x),u,w)) = K((x \ y) \ T(y,x),z \ L(T(x,x \ y),u,w)). K((x \ y) \ T(y,x),z \ L(L(T(x,x \ y),y,x),u,w)) = K((x \ y) \ T(y,x),z \ L((x \ y) \ T(y,x),u,w)). x != K(y,((T(z,y) / u) \ 1) \ w) | x = K(y,((z / u) \ 1) \ w). x \ ((T(y,z) / x) \ y) = K(z,((y / x) \ 1) \ x). K(x,((y / z) \ 1) \ z) = z \ ((T(y,x) / z) \ y). x * K(y,((z / x) \ 1) \ x) = (T(z,y) / x) \ z. (T(x,y) / z) \ x = z * K(y,((x / z) \ 1) \ z). x != (T(y,z) / u) \ y | x = (1 / u) \ K(z,y). x * K(y,((z / x) \ 1) \ x) = (1 / x) \ K(y,z). x * K(y,(z \ 1) \ x) = (1 / x) \ K(y,z * x). (1 / x) \ K(y,z * x) = x * K(y,(z \ 1) \ x). K(x,y * z) = K(x,(y \ 1) \ z). K(x,(y \ 1) \ z) = K(x,y * z). x != K(y / z,u \ (y / z)) | x = K(z \ y,z \ (u \ y)). K(x,T(y \ x,z)) = K((z / x) \ z,(z / x) \ (y \ z)). K((x / y) \ x,(x / y) \ (z \ x)) = K(y,T(z \ y,x)). K(x,T(T(x \ y,z),u)) = K(x,T(T(x \ y,z),y * u)). K(x,T(T(x \ y,z),y * u)) = K(x,T(T(x \ y,z),u)). 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)). x != K(y,z \ (y * u)) | x = K(y,z \ (u * y)). 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 * z)) * y)) | x = K(y,z \ (u \ (y * z))). K(x,T(y \ x,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))). L(K(x,T(T(x \ y,z),z)),z,y) = (y * (K(x,x \ y) * z)) / (y * z). 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). T(x,K(y,z \ u)) = T(x,K(y,z \ (x \ u))). T(x,K(y,z \ (x \ u))) = T(x,K(y,z \ u)). K(x,y \ (x \ z)) * T(x,K(u,y \ z)) = T(x,T(y \ (x \ z),u)). x != T(T(y * K(z * L(y,u,w),y),v5),z) | x = R(T(y,v5),z,L(y,u,w)). R(T(x,y),z,L(T(x,y),u,w)) = R(T(x,y),z,L(x,u,w)). L(K(x,x \ y),z,y) = (y * (K(x,x \ y) * z)) / (y * z). (x * (K(y,y \ x) * z)) / (x * z) = L(K(y,y \ x),z,x). K(a(x,y,z),T(x,u)) = K(a(x,y,z),x). ((x / L(T(y,z),u,y)) * K(y,z)) * y = T(y,z) * (L(T(y,z),u,T(y,z)) \ x). T(x,y) * (L(T(x,y),z,T(x,y)) \ u) = ((u / L(T(x,y),z,x)) * K(x,y)) * x. T(x,y) * (L(T(x,y),z,T(x,y)) \ u) = (u / L(x,z,x)) * x. x != (y / L(z,u,z)) * z | x = z * (L(z,u,z) \ y). T(x,y) * (L(T(x,y),z,T(x,y)) \ u) = x * (L(x,z,x) \ u). T(x,y) * (L(T(x,y),z,x) \ u) = x * (L(x,z,x) \ u). K(x \ T(y,z),x) * (K(y,z) * y) = L(x \ y,x,K(y,z)) * (K(y,z) * x). L(x \ y,x,K(y,z)) * (K(y,z) * x) = K(x \ T(y,z),x) * (K(y,z) * y). L(x \ y,x,K(y,z)) * (K(y,z) * x) = K(x \ T(y,z),x) * T(y,z). x != K(y \ z,y) * z | x = (y \ z) * y. L(x \ y,x,K(y,z)) * (K(y,z) * x) = (x \ T(y,z)) * x. L(x \ y,x,K(y,z)) * (K(y,z) * x) = T((x \ y) * x,z). L(x \ y,x,K(y,z)) * (K(y,z) * x) != u | T((x \ y) * x,z) = u. L(x \ L(y,z,u),x,K(L(y,z,u),y \ w)) * (K(L(y,z,u),w / y) * x) = T((x \ L(y,z,u)) * x,w / y). L(K(x * ((y * z) \ y),x),(y * z) \ y,z * y) = K((z * y) \ (y * (K(z,y) * x)),x). L(K(x,x * (y \ z)),y \ z,z * (y / z)) = K(x,L((z \ y) \ x,y / z,z)). x != K(y,L((z \ u) \ y,u / z,z)) | x = K(y,u \ (z * y)). L(K(x,x * (y \ z)),y \ z,z * (y / z)) = K(x,y \ (z * x)). K(R(x,y,z) * u,x) * K(T(x,u),u) = T(x,u) \ R(T(x,u),u,R(T(x,u),y,z)). T(x,y) \ R(T(x,y),y,R(T(x,y),z,u)) = K(R(x,z,u) * y,x) * K(T(x,y),y). T(x,y) \ R(T(x,y),y,R(T(x,y),z,u)) = K(R(x,z,u) * y,x) * K(x,y). x != T(y,z) \ R(T(y,z),u,R(T(y,w),v5,v6)) | x = y \ R(y,u,R(T(y,w),v5,v6)). K(R(x,y,z) * u,x) * K(x,u) = x \ R(x,u,R(T(x,u),y,z)). x != K(R(y,z,u) * w,y) * K(y,w) | x = L(y,w,R(y,z,u)) \ y. x \ R(x,y,R(T(x,y),z,u)) = L(x,y,R(x,z,u)) \ x. 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). R(K(x,x \ y),z,T(y,K(x,x \ y) * z)) = (y * (K(x,x \ y) * z)) / (y * z). (x * (y * z)) \ ((x * K(z,y)) * (y * z)) = L(K(z,y),T(x,y * z),y * z). L(K(x,y),T(z,y * x),y * x) != u | K(((z / x) * (y * x)) \ (z * (y * x)),y) = u. K(x,(y \ 1) \ L(L(x,y,x),z,u)) * (y \ (T(y,x) * L(x,z,u))) = L(L(x,y,x),z,u). 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))). L(K(x * ((y * z) \ y),x),(y * z) \ y,z * y) = K(L(z \ x,T(z,y),y),x). x != K(L(y \ z,T(y,u),u),z) | x = K(y \ z,z). L(K(x * ((y * z) \ y),x),(y * z) \ y,z * y) = K(z \ x,x). 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). 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 \ R(y,z,u),R((T(y,w) \ 1) \ K(w,y),z,u)) = K((T(y,w) \ x) \ (T(y,w) \ R(y,z,u)),R(y,z,u)). K((T(x,y) \ z) \ (T(x,y) \ R(x,u,w)),R(x,u,w)) = K(z \ R(x,u,w),R((T(x,y) \ 1) \ K(y,x),u,w)). (((x * y) \ x) \ 1) / ((1 / (y * L(y \ 1,y,z))) \ (L(y \ 1,y,x) \ 1)) = 1 / (y * ((z * y) \ z)). R(R(x,y,z),y * z,L(K(z,u),z,x * y)) = ((x * y) * T(z,u)) / ((y * z) * K(z,u)). R(R(x,y,z),y * z,L(K(z,u),z,x * y)) = ((x * y) * T(z,u)) / (y * T(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)) != w | R(x,y,T(z,u)) = w. R(x,y,T(x,z)) = R(x,y,x). R(x,y,(x \ z) \ z) = R(x,y,x). R(T(x,x \ y),z,T((x \ y) \ y,u)) = R(T(x,x \ y),z,T(x,x \ y)). x \ R(T(y,y \ z),u,T((y \ z) \ z,w)) = x \ R((y \ z) \ z,u,(y \ z) \ z). x != R(T(y,z),u,T(y,w)) | x = R(T(y,z),u,y). R(T(x,x \ y),z,T((x \ y) \ y,u)) = R(T(x,x \ y),z,x). x \ R(T(y,y \ z),u,y) = x \ R((y \ z) \ z,u,(y \ z) \ z). x != T(y,z) \ R(T(y,z),u,y) | x = y \ R(y,u,y). T(x,x \ y) \ R((x \ y) \ y,z,(x \ y) \ y) = x \ R(x,z,x). L(K(x * y,x) * K(x,K(z * y,y)),y,z) = (z * (T(x * y,x) / T(x,y))) / (z * y). L(K(x * y,x) * K(x,K(y * z,y)),y,z) = (z * (T(x * y,x) / T(x,y))) / (z * y). L(K(x * y,x) * K(x,K(y,y * z)),y,z) = (z * (T(x * y,x) / T(x,y))) / (z * y). L(K(x * y,x) * K(x,K(y,z)),y,z) = (z * (T(x * y,x) / T(x,y))) / (z * y). (x * (T(y * z,y) / T(y,z))) / (x * z) = L(K(y * z,y) * K(y,K(z,x)),z,x). (x * (y \ T(y * z,y))) / (x * z) = L(K(y * z,y) * K(y,K(z,x)),z,x). L(K(x * y,x) * K(x,K(y,z)),y,z) = (z * (x \ T(x * y,x))) / (z * y). L(K(x * y,T(x,z)),y,z) = (z * (x \ T(x * y,x))) / (z * y). (x * (y \ T(y * z,y))) / (x * z) = L(K(y * z,T(y,x)),z,x). x != (y * (z \ T(z * u,w))) / (y * u) | x = K((y * u) / (y * (z \ 1)),w). L(K(x * y,T(x,z)),y,z) = K((z * y) / (z * (x \ 1)),x). x != K(y / (z * (u \ 1)),u) | x = K(y / (u \ z),u). L(K(x * y,T(x,z)),y,z) = K((z * y) / (x \ z),x). x != K(y / (z \ u),z) | x = K((u / y) \ z,z). L(K(x * y,T(x,z)),y,z) = K((z / (z * y)) \ x,x). L(K(x * y,T(y,z)),x,z) = K((z / (z * x)) \ y,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). T(x,a(x,y,z)) = x. a(x,y,z) * L(x,u,w) = L(x,u,w) * a(x,y,z). L(x,y,z) * a(x,u,w) = a(x,u,w) * L(x,y,z). L(a(x,y,z),L(x,u,w),v5) = ((v5 * L(x,u,w)) * a(x,y,z)) \ ((v5 * (a(x,y,z) * L(x,u,w))) * a(x,y,z)). ((x * L(y,z,u)) * a(y,w,v5)) \ ((x * (a(y,w,v5) * L(y,z,u))) * a(y,w,v5)) = L(a(y,w,v5),L(y,z,u),x). 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). 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). K(T(T(x,y),x \ 1),z \ ((T(x,y) \ 1) * y)) = K((x \ 1) \ 1,((x \ 1) * T(y,x)) / z). K(T(x,y),z \ ((T(x,y) \ 1) * y)) = K((x \ 1) \ 1,((x \ 1) * T(y,x)) / z). K(T(x,y),z \ ((T(x,y) \ 1) * y)) = K(x,((x \ 1) * T(y,x)) / z). K(T(x,y),z \ ((T(x,y) \ 1) * y)) != u | K(x,((x \ 1) * y) / z) = u. ((K(x,y) * z) * ((K(y,x) \ 1) \ 1)) * K(u,y) = ((1 / (1 / K(y,x))) \ z) * (K(y,x) * K(u,y)). (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)). L(K(x,x \ y),z / K(x,x \ y),y) \ (y * z) = T(y * (z * K(x \ y,x)),K(y,x)). x != T(y * (z * K(u \ y,u)),K(y,u)) | x = y * (K(u \ y,u) * z). L(K(x,x \ y),z / K(x,x \ y),y) \ (y * z) = y * (K(x \ y,x) * z). L(K(x,x \ y),z * K(x \ y,x),y) \ (y * z) = y * (K(x \ y,x) * z). L(K(x,x \ y),z,y) \ (y * z) = y * (K(x \ y,x) * z). x * (K(y \ x,y) * z) != u | L(K(y \ x,y),z,x) * (x * z) = u. ((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)). (K(x,y) * z) * (K(y,x) * K(u,y)) = T(z * K(u,y),K(x,y)). (K(x,y) * z) * (K(u,y) * K(y,x)) = T(z * K(u,y),K(x,y)). (K(x,y) * z) * (K(y,x) * K(u,y)) != w | T(z * K(u,y),K(y,x)) = w. x * y != (K(z,u) * w) * (K(v5,u) * K(u,z)) | T(w * K(v5,u),K(z,u)) / y = x. T(x * K(y,z),K(u,z)) / (K(u,z) * x) = (K(y,z) * K(z,u)) * K(K(u,z) * x,K(y,z) * K(z,u)). x != K(R(y * K(z,y),u,w),v5) | x = K(R(y,u,w),T(v5,z)). K(R(((T(x,y) * y) / x) \ (T(x,y) * y),z,u),T(x,y) * y) = K(R(x,z,u),T(T(x,y) * y,y)). x != K(R(y,z,u),T(T(y,w) * w,v5)) | x = K(R(y,z,u),T(y * w,v5)). K(R(((T(x,y) * y) / x) \ (T(x,y) * y),z,u),T(x,y) * y) = K(R(x,z,u),T(x * y,y)). K(R(x,y,z),T(x,u) * u) = K(R(x,y,z),T(x * u,u)). K(R(x,y,z),T(x * u,u)) = K(R(x,y,z),T(x,u) * u). x != K(R(y,z,u),T(y,w) * w) | x = K(R(y,z,u),y * w). K(R(x,y,z),T(x * u,u)) = K(R(x,y,z),x * u). K(R(x,y,z),T(x,u) * u) = K(R(x,y,z),x * L(u,x,u)). K(R(x,y,z),x * L(u,x,u)) = K(R(x,y,z),T(x,u) * u). K(R(x,y,z),x * L(u,x,u)) = K(R(x,y,z),x * u). x != K(y,L(L(y,z,u),w,v5) / v6) | x = K(y,v6 \ L(L(y,z,u),w,v5)). K(x,(1 / (y \ T(L(L(x,z,u),w,v5),v6))) \ K(v6,L(L(x,z,u),w,v5))) = K(x,y \ L(L(x,z,u),w,v5)). T(x * K(y,z),K(z,u)) / (K(u,z) * x) = (K(y,z) * K(z,u)) * K(K(u,z) * x,K(y,z) * K(z,u)). K(x,(1 / (y \ L(T(L(x,z,u),w),v5,v6))) \ K(w,L(L(x,z,u),v5,v6))) = K(x,y \ L(L(x,z,u),v5,v6)). K(x,(1 / (y \ L(L(T(x,z),u,w),v5,v6))) \ K(z,L(L(x,u,w),v5,v6))) = K(x,y \ L(L(x,u,w),v5,v6)). x != K(y,z \ K(u,L(L(y,w,v5),v6,v7))) | x = K(y,z \ 1). K(x,y \ L(L(x,z,u),w,v5)) = K(x,(1 / (y \ L(L(T(x,v6),z,u),w,v5))) \ 1). K(x,(1 / (y \ L(L(T(x,z),u,w),v5,v6))) \ 1) = K(x,y \ L(L(x,u,w),v5,v6)). K(x,y \ L(L(T(x,z),u,w),v5,v6)) = K(x,y \ L(L(x,u,w),v5,v6)). T(L(T(x,K(y,z)),K(y,z),K(z,u)),K(z,u)) = R(T(x,K(z,u) * K(y,z)),K(z,u),K(y,z)). R(T(x,K(y,z) * K(u,y)),K(y,z),K(u,y)) = T(L(T(x,K(u,y)),K(u,y),K(y,z)),K(y,z)). R(T(x,K(y,z) * K(u,y)),K(y,z),K(u,y)) = T(L(T(x,K(y,u)),K(u,y),K(y,z)),K(y,z)). R(T(x,K(y,z) * K(u,y)),K(y,z),K(u,y)) = L(T(T(x,K(y,u)),K(y,z)),K(u,y),K(y,z)). x != R(y,K(z,u),K(w,z)) | x = y. L(T(T(x,K(y,z)),K(y,u)),K(z,y),K(y,u)) = T(x,K(y,u) * K(z,y)). (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). ((x * (y * z)) * L(u * (L(z \ 1,z,y) / u),y * z,x)) \ (x * y) = K((x * (y * z)) \ (u \ (x * y)),u). x != K((y \ z) \ T(z,y),u) | x = K(y,u). K((x \ y) \ T(y,x),z \ L((x \ y) \ T(y,x),u,w)) = K(x,z \ L(T(x,x \ y),u,w)). x != K(y,z \ L(T(y,u),w,v5)) | x = K(y,z \ L(y,w,v5)). K((x \ y) \ T(y,x),z \ L((x \ y) \ T(y,x),u,w)) = K(x,z \ L(x,u,w)). K((T(x,y) \ z) \ (T(x,y) \ R(x,u,w)),R(x,u,w)) = K(z \ R(x,u,w),R(T(x,x \ 1),u,w)). K((T(x,y) \ z) \ (T(x,y) \ R(x,u,w)),R(x,u,w)) != v5 | K(z \ R(x,u,w),R(x,u,w)) = v5. ((x * (y * z)) * L(L(u * ((z \ 1) / u),z,y),y * z,x)) \ (x * y) = K((x * (y * z)) \ (u \ (x * y)),u). (x * ((y * z) * L(u * ((z \ 1) / u),z,y))) \ (x * y) = K((x * (y * z)) \ (u \ (x * y)),u). (x * (y * (z * (u * ((z \ 1) / u))))) \ (x * y) = K((x * (y * z)) \ (u \ (x * y)),u). (x * (y * K(z,u \ (z \ 1)))) \ (x * y) = K((x * (y * u)) \ (z \ (x * y)),z). L(K(x \ (y \ 1),y),z,u) = K((u * (z * x)) \ (y \ (u * z)),y). K((x * (y * z)) \ (u \ (x * y)),u) = L(K(z \ (u \ 1),u),y,x). x != L(K(y \ (z \ 1),z),u,w) | x = K(L(y * z,u,w) \ 1,z). K((x * (y * z)) \ (u \ (x * y)),u) = K(L(z * u,y,x) \ 1,u). x != K((y * (z * u)) \ (w \ (y * z)),w) | x = K(L(u,z,y) \ (w \ 1),w). K(L(x * y,z,u) \ 1,y) = K(L(x,z,u) \ (y \ 1),y). T(x * K(T(y,z),u),K(T(y,z),w)) \ T(x,K(T(y,z),w)) = K(u,T(y,R(u,v5,v6) * z)). K(x,T(y,R(x,z,u) * w)) = T(v5 * K(T(y,w),x),K(T(y,w),v6)) \ T(v5,K(T(y,w),v6)). x != T(y * K(z,u),K(z,w)) \ T(y,K(z,w)) | x = K(u,z). K(x,T(y,R(x,z,u) * w)) = K(x,T(y,w)). K(x,T(y,R(x,z,u) * w)) = K(x,y) * K(x,K(y,w)). 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 * R(y,z,u),y) * K(y,K(w,x)) = T(K(x * R(y,z,u),T(y,x)),w). K(x,K(y,(y * z) * u)) = K(y,K(x,z * u)). x != K(y,K(z,z * u)) | x = K(z,K(y,u)). K(x,K(y,(y * x) * z)) = K(x,K(y,z)). R((K(x,K(y,z)) * u) / (K(x,y) \ u),y * x,z) = ((y * x) * z) \ ((x * y) * z). 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). R(T(K(x,y),z),y * x,z) = ((y * x) * z) \ ((x * y) * z). ((x * y) * z) \ ((y * x) * z) = R(T(K(y,x),z),x * y,z). x != ((y * z) * u) \ ((z * y) * u) | x = K((((y * z) * u) \ (y * u)) \ 1,y). R(T(K(x,y),z),y * x,z) = K((((y * x) * z) \ (y * z)) \ 1,y). x != K((y \ z) \ 1,u) | x = K(z \ y,u). R(T(K(x,y),z),y * x,z) = K((y * z) \ ((y * x) * z),y). x != K((y * z) \ ((y * u) * z),y) | x = K(R(T(u,z),y,z),y). R(T(K(x,y),z),y * x,z) = K(R(T(x,z),y,z),y). x != R(T(K(y,z),u),z * y,u) | x = ((z * y) * u) \ ((y * z) * u). K(R(T(x,y),z,y),z) = ((z * x) * y) \ ((x * z) * y). ((x * y) * z) \ ((y * x) * z) = K(R(T(y,z),x,z),x). x != K(R(T(y,z),u,w),v5) | x = K(R(y,u,w),T(v5,z)). ((x * y) * z) \ ((y * x) * z) = K(R(y,x,z),T(x,z)). L(x \ L(y,z,u),x,K(L(y,z,u),y \ w)) * (K(L(y,z,u),y \ w) * x) = T((x \ L(y,z,u)) * x,w / y). T((x \ L(y,z,u)) * x,y \ w) = T((x \ L(y,z,u)) * x,w / y). T((x \ L(y,z,u)) * x,w / y) = T((x \ L(y,z,u)) * x,y \ w). T((x \ L(y,y \ z,y)) * x,y \ T(z,y)) != u | T((x \ y) * x,z) = u. T((x \ y) * x,z) = L(T((x \ y) * x,y \ T(z,y)),y \ z,y). L(T((x \ y) * x,y \ T(z,y)),y \ z,y) = T((x \ y) * x,z). L(T((x \ y) * x,y \ z),y \ z,y) = T((x \ y) * x,z). x \ (y * (((z \ y) * z) * (y \ x))) = T((z \ y) * z,x). x * T((y \ z) * y,x) = z * (((y \ z) * y) * (z \ x)). ((x \ y) * x) * z = y * (((x \ y) * x) * (y \ z)). x * (((y \ x) * y) * (x \ z)) = ((y \ x) * y) * z. (((x * (y * x)) / x) / y) * (z / (((x * (y * x)) / x) / y)) = z * K(L(x,T(y,x),x),T(x,y * x) \ z). (((x * (y * x)) / x) / y) * (z / (((x * (y * x)) / x) / y)) = z * K(L(x,T(y,x),x),T(x,x * y) \ z). (((x * (y * x)) / x) / y) * (z / (((x * (y * x)) / x) / y)) = z * K(x,T(x,x * y) \ z). (((x * (y * x)) / x) / y) * (z / (((x * (y * x)) / x) / y)) = z * K(x,x \ z). (((x * (y * x)) / x) / y) * (z / (((x * (y * x)) / x) / y)) = x * (z / x). L(x,T(y,x),x) * (z / (((x * (y * x)) / x) / y)) = x * (z / x). L(x,T(y,x),x) * (z / L(x,T(y,x),x)) = x * (z / x). L(x,y,x) * (z / L(x,T(y,x),x)) = x * (z / x). L(x,y,x) * (z / L(x,y,x)) = x * (z / x). L(x,y,x) * ((z * x) / L(x,y,x)) = x * z. K((x \ y) \ T(y,x),z \ L((x \ y) \ T(y,x),u,w)) = K(x,z \ L(L(T(x,x \ y),y,x),u,w)). x != K(y,z \ L(L(T(y,u),w,v5),v6,v7)) | x = K(y,z \ L(L(y,w,v5),v6,v7)). K((x \ y) \ T(y,x),z \ L((x \ y) \ T(y,x),u,w)) = K(x,z \ L(L(x,y,x),u,w)). x != K((y \ z) \ T(z,y),u \ L((y \ z) \ T(z,y),w,v5)) | x = K(y,u \ L(y,w,v5)). K(x,y \ L(L(x,z,x),u,w)) = K(x,y \ L(x,u,w)). K(x,(y \ 1) \ L(x,z,u)) * (y \ (T(y,x) * L(x,z,u))) = L(L(x,y,x),z,u). K(x,y * L(x,z,u)) * (y \ (T(y,x) * L(x,z,u))) = L(L(x,y,x),z,u). K(x,y * L(x,z,u)) * (K(y,x) * L(x,z,u)) = L(L(x,y,x),z,u). K(x,x \ 1) \ ((1 / ((L(x,y,z) \ x) * L(x,y,z))) * (L(x,y,z) \ x)) = L(x,y,z) \ 1. K(x,x \ 1) \ ((1 / x) * (L(x,y,z) \ x)) = L(x,y,z) \ 1. (x \ 1) * (L(x,y,z) \ x) = L(x,y,z) \ 1. x * y != K(z,z \ 1) \ ((1 / z) * (L(z,u,w) \ z)) | x \ (L(z,u,w) \ 1) = y. (x \ 1) \ (L(x,y,z) \ 1) = L(x,y,z) \ x. 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 \ 1,y,z) \ 1)) * K(x \ 1,x) = L(x \ 1,y,z) \ (x \ 1). (x \ L(x,y,z)) \ 1 = L(x,y,z) \ x. (x \ L(x,y,z)) * (L(x,y,z) \ x) != u | u = 1. (x \ L(x,y,z)) * (L(x,y,z) \ x) != u | 1 = u. 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)). (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). (x * (y * R(x,z,u))) \ (((y * R(x,z,u)) * x) * K(x,y)) = x \ R(x,y,R(x,z,u)). (x * (y * R(x,z,u))) \ ((y * R(x,z,u)) * T(x,y)) = x \ R(x,y,R(x,z,u)). (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. x != y \ R(y,z,R(y,u,w)) | x = K(z * R(y,u,w),y) * K(y,z). a(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) = 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. x \ R(x,y,R(T(x,z),u,w)) != v5 | a(T(x,z),y,R(T(x,z),u,w)) = v5. 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). T(x,y) \ R(T(x,y),z,R(x,u,w)) = a(x,z,R(x,u,w)). K(x,y) * (K(y,x) * a(y,z,R(y,u,w))) = y \ R(y,z,R(T(y,x),u,w)). ((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) \ z) \ R((y \ z) \ z,K(y,u) * w,R(y,v5,v6)) | x = y \ (z \ ((R(y,w,R(y,v5,v6)) * (y \ z)) * y)). a(x,K(x,y) * z,R(x,u,w)) = x \ (v5 \ ((R(x,z,R(x,u,w)) * (x \ v5)) * x)). 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)). x != y \ R(y,z,R(T(y,z),u,w)) | x = L(y,z,R(y,u,w)) \ y. a(x,y,R(x,z,u)) = L(x,y,R(x,z,u)) \ x. L(x,y,R(x,z,u)) \ x = a(x,y,R(x,z,u)). a(x,y,R(x,z,u)) \ x = L(x,y,R(x,z,u)). x != K(y * R(z,u,w),z) * K(y,K(z,v5)) | x = T(K(y * R(z,u,w),z),v5). 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)). a(T(x,y),T(z,x),R(T(x,y),u,w)) = a(T(x,y),z,R(T(x,y),u,w)). x != a(T(y,z),T(T(z,y),y),R(T(y,z),u,w)) | x = a(R(y,u,w),z,y). 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(x,y,R(T(x,y),z,u)) \ 1. 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. 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(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)). a(x,y,R(x,z,u)) = a(x,T(y,x),R(x,z,u)). a(x,T(y,x),R(x,z,u)) = a(x,y,R(x,z,u)). 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)). ((K((x * y) / (x * (z \ y)),u) \ 1) \ 1) \ (x * (K(z,u) * y)) = (x * (K(z,u) * y)) * ((L(K(u,T(z,y)),y,x) \ 1) \ 1). (x * y) \ ((y * K(x,z)) * R(x,y,K(x,z))) = K(x,z) * K(y * K(x,z),R(x,y,K(x,z))). (x * y) \ ((y * K(x,z)) * x) = K(x,z) * K(y * K(x,z),R(x,y,K(x,z))). K(x,y) * K(z * K(x,y),R(x,z,K(x,y))) = (x * z) \ ((z * K(x,y)) * x). K(x,y) * K(z * K(x,y),R(x,z,K(x,y))) = (x * z) \ (z * T(x,y)). K(x,y) * K(z * K(x,y),x) = (x * z) \ (z * T(x,y)). (x * y) \ (y * T(x,z)) = K(x,z) * K(y * K(x,z),x). (x * y) \ (y * T(x,z)) = K(x,z) * K(y,x). x != K(y,z) * K(z * L(y,u,w),y) | x = y \ R(y,z,L(y,u,w)). (x * (y * L(x,z,u))) \ ((y * L(x,z,u)) * T(x,y)) = x \ R(x,y,L(x,z,u)). x != (T(y,z) * (L(y,u,w) * z)) \ ((L(y,u,w) * z) * T(T(y,z),z)) | x = a(T(y,z),z,L(T(y,z),u,w)). K(T(x,y),y) * K(L(x,z,u) * y,T(x,y)) = a(T(x,y),y,L(T(x,y),z,u)). (x * y) \ (y * T(x,z)) != u | K(y,x) * K(x,z) = u. K(x,y) * K(y,y \ x) = a(y,x / y,y). x != K(y,z) * K(z,z \ y) | x = y \ T(z * (y / z),z). a(x,y / x,x) = y \ T(x * (y / x),x). x \ T(y * (x / y),y) = a(y,x / y,y). (x * y) \ T(y * x,y) = a(y,(x * y) / y,y). a(x,(y * x) / x,x) = (y * x) \ T(x * y,x). x != (y * z) \ T(z * y,u) | x = K(z,y) * K(z * y,u). a(x,(y * x) / x,x) = K(x,y) * K(x * y,x). a(x,y,x) = K(x,y) * K(x * y,x). K(x,y) * K(x * y,x) = a(x,y,x). x != K(y,z) * K(y * z,y) | x = y \ R(y,z,y). a(x,y,x) = x \ R(x,y,x). x \ R(x,y,x) = a(x,y,x). K(x,y) * a(y,x,y) != z | z = K(y * x,y). K(x,y) * a(y,x,y) != z | K(y * x,y) = z. K(x,x * y) * a(x,y,x) = K(x,y). x * a(y,x,y) = T(y * x,y) / y. T(x * y,x) / x = y * a(x,y,x). (x / y) * a(y,z,y) = x / L(y,z,y). K(x * y,x) * (K(x,y) * z) = z * a(x,y,x). x != y \ R(y,z * K(y,u),y) | x = y \ R(y,z,y). a(x,y * K(x,z),x) = x \ R(x,y,x). x * a(x,y,x) = R(x,y,x). a(x,y,x) * x = R(x,y,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). x \ R(x,y,x) != z | z = a(x,y,x). x \ R(x,y,x) != z | a(x,y,x) = z. (x * a(y,z,y)) / R(y,z,y) != u | R(x / y,y,a(y,z,y)) = u. K(x * y,x) * K(x,y) != z | z = a(x,y,x). K(x * y,x) * K(x,y) != z | a(x,y,x) = z. (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. (T(x,a(y,x,y)) * z) \ ((T(y * x,y) / y) * z) = R(T(a(y,x,y),x * z),T(x,a(y,x,y)),z). R(T(a(x,y,x),y * z),T(y,a(x,y,x)),z) = (T(y,a(x,y,x)) * z) \ ((T(x * y,x) / x) * z). x * a(y,z,y) = (x * y) / L(y,z,y). (x * y) / L(y,z,y) = x * a(y,z,y). a(x,y,T(x,z)) = x \ R(x,y,x). a(x,y,T(x,z)) != u | a(x,y,x) = u. (x / L(y,z,y)) * y = x * a(y,z,y). L(x,y,x) * (z * a(x,y,x)) = x * z. x * a(y,z,y) = y * (L(y,z,y) \ x). x * (L(x,y,x) \ z) = z * a(x,y,x). x * y != 1 * z | x \ z = y. x \ a(x,y,x) = L(x,y,x) \ 1. L(x,y,x) \ 1 = x \ a(x,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). T(x,y) * (L(T(x,y),z,x) \ u) = u * a(T(x,y),z,T(x,y)). K(R(L(x,y,x),x \ a(x,y,x),z),u) = K(L(x,y,x),u). K(x,x * y) * (z * a(x,y,x)) = K(x,y) * z. K(x,y) * z != K(x,x * y) * u | z * a(x,y,x) = u. K(x,x * y) * z != K(x,y) * u | u * a(x,y,x) = z. 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). x != K(R(L(y,z,y),u,w),v5) | x = K(R(y,u,w),v5). K(L(x,y,x),z) = K(R(x,x \ a(x,y,x),u),z). 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) = R(K(x,y),a(x,z,x),u). R(K(x,y),a(x,z,x),u) = K(x,y). 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. x * a(y,z,y) = a(y,z,y) * x. a(x,y,x) * z = z * a(x,y,x). (a(x,y,x) \ z) * a(x,y,x) = z. T(x,a(y,z,y)) = x. x * y != x * a(z,u,z) | T(a(z,u,z),x) = y. T(a(x,y,x),z) = a(x,y,x). K(x * y,x) = a(x,y,x) * K(y,x). a(x,y,x) * K(y,x) = K(x * y,x). a(x,y,x) * z != z * u | a(x,y,x) = u. (x * (y * a(z,u,z))) \ (x * (a(z,u,z) * (y * w))) = L(L(w,y,a(z,u,z)),a(z,u,z) * y,x). (x * (y * a(z,u,z))) \ ((x * a(z,u,z)) * (L(y,a(z,u,z),x) * w)) = L(w,L(y,a(z,u,z),x),x * a(z,u,z)). K(x,a(y,z,y)) = 1. x * K(y,a(z,u,z)) != w | x = w. x * a(y,z,y) != u | a(y,z,y) * x = u. x * R(a(y,z,y),u,w) = R(a(y,z,y),u,w) * x. R(a(x,y,x),z,u) * w = w * R(a(x,y,x),z,u). x * y != (a(z,u,z) \ w) * a(z,u,z) | x \ w = y. (a(x,y,x) \ 1) \ z = z * a(x,y,x). L(x,y,x) * z = x * (a(x,y,x) \ z). x * (a(x,y,x) \ z) = L(x,y,x) * z. 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)). x * y != z * 1 | x \ z = y. x \ L(x,y,x) = a(x,y,x) \ 1. a(x,y,x) \ 1 = x \ L(x,y,x). (x \ L(x,y,x)) \ z = z * a(x,y,x). (a(x,y,x) \ 1) \ z != u | a(x,y,x) * z = u. T(x,R(a(y,z,y),u,w)) = x. 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) \ (y * T(T(z * x,z) / z,y)) = L(a(z,T(x,y),z),T(x,y),y). (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). K(x,y) * K(L(x,z,u) * y,T(x,y)) = a(T(x,y),y,L(T(x,y),z,u)). K(x,y) * K(L(x,z,u) * y,x) = a(T(x,y),y,L(T(x,y),z,u)). a(T(x,y),y,L(T(x,y),z,u)) = K(x,y) * K(L(x,z,u) * y,x). x != K(y,z) * K(L(y,u,w) * z,y) | x = L(y,z,L(y,u,w)) \ y. a(T(x,y),y,L(T(x,y),z,u)) = L(x,y,L(x,z,u)) \ x. (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)). K(x,y) * K(y * L(x,z,u),x) = a(x,y,L(x,z,u)). T(x,y) * a(x,z,L(x,u,w)) = K(x,y) * R(x,z,L(x,u,w)). K(x,y) * R(x,z,L(x,u,w)) = T(x,y) * a(x,z,L(x,u,w)). T(x,y) \ R(T(x,y),z,L(x,u,w)) = a(T(x,y),z,L(T(x,y),u,w)). a(x,y,L(x,z,u)) \ 1 = K(y,x) * K(x,y * L(x,z,u)). K(x,y) * K(y,x * L(y,z,u)) = a(y,x,L(y,z,u)) \ 1. (x / (y * K(z,y))) * R(y * K(z,y),z,L(y,u,w)) = x * a(y,z,L(y,u,w)). R(T(x,y),z,L(x,u,w)) = T(x,y) * a(x,z,L(x,u,w)). T(x,y) * a(x,z,L(x,u,w)) = R(T(x,y),z,L(x,u,w)). T(x,y) \ R(T(x,y),z,L(x,u,w)) != v5 | v5 = a(x,z,L(x,u,w)). T(x,y) \ R(T(x,y),z,L(x,u,w)) != v5 | a(x,z,L(x,u,w)) = v5. a(T(x,y),z,L(T(x,y),u,w)) != v5 | a(x,z,L(x,u,w)) = v5. a(x,y,L(x,z,u)) = L(x,y,L(x,z,u)) \ x. L(x,y,L(x,z,u)) \ x = a(x,y,L(x,z,u)). a(x,y,L(x,z,u)) \ x = L(x,y,L(x,z,u)). ((x / y) * K(y,z)) * R(y * K(z,y),z,L(y,u,w)) = x * a(y,z,L(y,u,w)). ((x / y) * K(y,z)) * (y * K(z * L(y,u,w),y)) = x * a(y,z,L(y,u,w)). x != (y * K(z,u)) * (z * K(w,z)) | x = y * (T(z,u) * K(w,z)). x * a(y,z,L(y,u,w)) = (x / y) * (T(y,z) * K(z * L(y,u,w),y)). (x / y) * (T(y,z) * K(z * L(y,u,w),y)) = x * a(y,z,L(y,u,w)). (x / y) * R(y,z,L(y,u,w)) = x * a(y,z,L(y,u,w)). 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)). x != K(T(y,z) * u,T(y,w * u)) | x = K(y * u,T(y,w)). 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). R(T(a(x,y,x),y * z),T(y,a(x,y,x)),z) = (y * z) \ ((T(x * y,x) / x) * z). R(a(x,y,x),T(y,a(x,y,x)),z) = (y * z) \ ((T(x * y,x) / x) * z). R(a(x,y,x),y,z) = (y * z) \ ((T(x * y,x) / x) * z). (x * y) \ ((T(z * x,z) / z) * y) = R(a(z,x,z),x,y). x != (y * z) \ ((T(u * y,u) / u) * z) | x = L(a(u,T(y,z),u),T(y,z),z). R(a(x,y,x),y,z) = L(a(x,T(y,z),x),T(y,z),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). R(a(x,y * K(z,y),x),y * K(z,y),z) = L(a(x,y,x),y,z). (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). (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))). K(R(x,y,z),x * L(u,x,u)) * ((x * (L(u,x,u) * R(x,y,z))) / (x * L(u,x,u))) = L(R(x,y,z),u,x). K(R(x,y,z),x * u) * ((x * (L(u,x,u) * R(x,y,z))) / (x * L(u,x,u))) = L(R(x,y,z),u,x). K(R(x,y,z),x * u) * R((x * (L(u,x,u) * x)) / (x * L(u,x,u)),y,z) = L(R(x,y,z),u,x). K(R(x,y,z),x * u) * R(x * K(L(u,x,u),x),y,z) = L(R(x,y,z),u,x). K(R(x,y,z),x * u) * R(x * K(u,x),y,z) = L(R(x,y,z),u,x). K(R(K(x \ y,x),y,z),K(x \ y,x) * u) * R(K(x \ y,x) * K(u,K(x \ y,x)),y,z) = L((y * z) / ((x * (y / x)) * z),u,K(x \ y,x)). (K(x,(y * z) / (y * (u \ z))) \ 1) \ (y * (K(u,x) * z)) = (y * (K(u,x) * z)) * ((L(K(x,T(u,z)),z,y) \ 1) \ 1). K(x,(y * z) / (y * (u \ z))) * (y * (K(u,x) * z)) = (y * (K(u,x) * z)) * ((L(K(x,T(u,z)),z,y) \ 1) \ 1). K(x,(y * z) / (y * (u \ z))) * (y * (K(u,x) * z)) = (y * (K(u,x) * z)) * L(K(x,T(u,z)),z,y). x != (y * (K(z,u) * w)) * L(K(u,T(z,w)),w,y) | x = y * w. K(x,(y * z) / (y * (u \ z))) * (y * (K(u,x) * z)) = y * z. 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)) = K(u,(x * y) / (x * (z \ y))). K(x,(y * z) / (y * (u \ z))) = (y * z) / (y * (K(u,x) * z)). K(x,y) * (R(y,z,u) * (K(y,x) * w)) = R(y,z,u) * w. (x * (K(y,z) * u)) / (x * u) != w | K((x * u) / (x * (y \ u)),z) = w. R(K(x,y),z * u,w) = R(K(x,y),z * (K(v5,x) * u),w). R(K(x,y),z * (K(u,x) * w),v5) = R(K(x,y),z * w,v5). 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) * x))) = K(x,y \ (z * u)). K(x / y,z \ (u * (y * (x / y)))) = K(x / y,z \ (u * x)). x != K(y,z \ ((y \ 1) * (u * y))) | x = K(y,z \ u). K(x,y \ ((x \ 1) * z)) = K(x,y \ (x \ z)). x != K(y,z \ (((u \ 1) \ 1) * w)) | x = K(y,z \ (u * w)). K(x \ 1,y \ ((x \ 1) \ z)) = K(x \ 1,y \ (x * z)). K(1 / x,y \ (x * z)) = K(1 / x,y \ ((1 / x) \ z)). K(1 / x,y \ ((1 / x) \ z)) = K(1 / x,y \ (x * z)). K(T(x,y),z \ (T(x,y) \ y)) != u | K(x,((x \ 1) * y) / z) = u. 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). R(K(x,y),z * (u * K(w,x)),v5) = R(K(x,y),z * u,v5). K(L(x,y,z) \ 1,(u \ w) \ ((x \ 1) \ 1)) = L(K(x \ 1,w \ (x * u)),y,z). K(x \ 1,(y \ z) \ x) = K(1 / x,z \ (x * y)). K(1 / x,y \ (x * z)) = K(x \ 1,(z \ y) \ x). K(x \ 1,(y \ z) \ x) != u | K(x \ 1,z \ (x * y)) = u. x != R(y,z,y) * (K(y,u) * w) | x = R(T(y,u),z,y) * w. K(x,y) * (R(x,z,x) * u) = R(T(x,y),z,x) * u. R(x,y,x) * (K(z,x) * (x \ u)) = K(z,x) * ((u / x) * R(x,y,x)). K(x,R(y * K(z,x),u,w)) = R(K(x,y),u * y,w). R(K(x,y),z * y,u) = K(x,R(y * K(w,x),z,u)). K(x,R(y,z,u)) = K(x,R(y * K(w,x),z,u)). K(x,R(y * K(z,x),u,w)) = K(x,R(y,u,w)). x != K(y,R(z * K(u,y),w,v5)) | x = R(K(y,z),(z * K(u,y)) * w,v5). K(x,R(y,z,u)) = R(K(x,y),(y * K(w,x)) * z,u). R(K(x,y),(y * K(z,x)) * u,w) = K(x,R(y,u,w)). x != R(K(y,z),(z * K(u,y)) * w,v5) | x = K(y,R(R(z,K(u,y),w),K(u,y) * w,v5)). K(x,R(y,z,u)) = K(x,R(R(y,K(w,x),z),K(w,x) * z,u)). K(x,R(R(y,K(z,x),u),K(z,x) * u,w)) = K(x,R(y,u,w)). x != K(y,R(R(z,K(u,y),w),v5,v6)) | x = K(y,R(z,v5,v6)). K(x,R(y,z,u)) = K(x,R(y,K(w,x) * z,u)). K(x,R(y,K(z,x) * u,w)) = K(x,R(y,u,w)). (x * K(y,R(z,u,w))) \ x = K(R(z,K(v5,y) * u,w),y). K(R(x,K(y,z) * u,w),z) = (v5 * K(z,R(x,u,w))) \ v5. K(R(x,K(y,z) * u,w),z) = K(R(x,u,w),z). K(R(x,y,z),y) = K(R(x,T(y,u),z),y). K(R(x,T(y,z),u),y) = K(R(x,y,u),y). T(x,y) \ T(x * K(R(z,x,u),x),y) = K(R(z,T(x,w),u),T(x,y)). K(R(x,T(y,z),u),T(y,w)) = T(y,w) \ T(y * K(R(x,y,u),y),w). K(x,((x \ 1) * y) / z) = K(T(x,y),z \ (x \ y)). K(T(x,y),z \ (x \ y)) = K(x,((x \ 1) * y) / z). K(x,((x \ 1) * y) / z) = K(x,y / (z * x)). K(x,L(y,z,x \ 1)) = K(x,(y * z) / (((x \ 1) * z) * x)). K(x,(y * z) / (((x \ 1) * z) * x)) = K(x,L(y,z,x \ 1)). x != K(y,z / (((y \ 1) * u) * y)) | x = K(y,z / L(u,y \ 1,y)). K(x,L(y,z,x \ 1)) = K(x,(y * z) / L(z,x \ 1,x)). K(x,(y * z) / L(z,x \ 1,x)) = K(x,L(y,z,x \ 1)). x != K(y,L(z,u,y \ 1)) | x = K(y,z). K(x,(y * z) / L(z,x \ 1,x)) = K(x,y). K(x,y / L(z,x \ 1,x)) = K(x,y / z). x != K(y,z / L(u,y \ 1,y)) | x = K(y,z / (((y \ 1) * u) * y)). K(x,y / z) = K(x,y / (((x \ 1) * z) * x)). K(x,y / (((x \ 1) * z) * x)) = K(x,y / z). K(x,y / (z * x)) = K(x,y / ((x \ 1) \ z)). K(x,y / ((x \ 1) \ z)) = K(x,y / (z * x)). R(K(x,(y / z) / (u * x)),y / z,z) = K(x,y / (((x \ 1) \ u) * z)). 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). K(R(x,T(y,z),u),T(y,w)) != v5 | K(R(x,y,u),T(y,w)) = v5. L(K(x,T(T(y,z),u * z)),z,u) != w | K((u * z) / (u * (x \ z)),y) = w. x != R(K(y,(z / u) / w),z / u,u) | x = K(y,z / (w * u)). K(x,y / (((x \ 1) \ z) * u)) = K(x,y / ((z * x) * u)). x != K(y,z / (((y \ 1) \ u) * w)) | x = K(y,z / ((u / (y \ 1)) * w)). K(x,y / ((z * x) * u)) = K(x,y / ((z / (x \ 1)) * u)). K(x,y / ((z / (x \ 1)) * u)) = K(x,y / ((z * x) * u)). x != K(y,z / ((((u \ 1) \ 1) \ w) * v5)) | x = K(y,z / ((u \ w) * v5)). K(x \ 1,y / ((z * (x \ 1)) * u)) = K(x \ 1,y / ((x \ z) * u)). K((x \ 1) \ 1,y / ((z / (x \ 1)) * u)) = K(x,y / ((z * x) * u)). x != K(y,z / ((u / ((w \ 1) \ 1)) * v5)) | x = K(y,z / ((u / w) * v5)). K(x \ 1,y / ((z * (x \ 1)) * u)) = K(x \ 1,y / ((z / x) * u)). x != K(y \ 1,z / ((u * (y \ 1)) * w)) | x = K(y \ 1,z / ((y \ u) * w)). K(x \ 1,y / ((z / x) * u)) = K(x \ 1,y / ((x \ z) * u)). (x * y) / (x * (K(z,u) * y)) != w | K((x * y) / (x * (u \ y)),z) = 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 * (K(u,w) * z)) / (y * z). K(x,(y * z) / (y * (u \ z))) = (y * (K(x,u) * z)) / (y * z). x != (y * (K(z,z \ y) * u)) / (y * u) | x = R(K(z,z \ y),u,T(y,K(z,z \ y) * u)). K(x,(y * z) / (y * ((x \ y) \ z))) = R(K(x,x \ y),z,T(y,K(x,x \ y) * z)). R(K(x,x \ y),z,T(y,K(x,x \ y) * z)) = K(x,(y * z) / (y * ((x \ y) \ z))). x != (y * (K(z,z \ y) * u)) / (y * u) | x = L(K(z,z \ y),u,y). K(x,(y * z) / (y * ((x \ y) \ z))) = L(K(x,x \ y),z,y). x != L(K(y \ 1,z),u,w) | x = K(L(y,u,w) \ 1,z). K(L(x,y,z) \ 1,(u \ w) \ ((x \ 1) \ 1)) = K(L(x,y,z) \ 1,w \ (x * u)). x != K(y,z \ ((u \ 1) \ 1)) | x = K(y,z \ u). K(L(x,y,z) \ 1,u \ (x * w)) = K(L(x,y,z) \ 1,(w \ u) \ x). K(L(x,y,z) \ 1,(u \ w) \ x) = K(L(x,y,z) \ 1,w \ (x * u)). R(K(x,x \ y),z,T(y,z)) = K(x,(y * z) / (y * ((x \ y) \ z))). K(x,(y * z) / (y * ((x \ y) \ z))) = R(K(x,x \ y),z,T(y,z)). x != K(y,(z * u) / (z * ((y \ z) \ u))) | x = L(K(y,y \ z),u,z). R(K(x,x \ y),z,T(y,z)) = L(K(x,x \ y),z,y). R(T(K(x,x \ y),z),u,T(y,u)) = T(L(K(x,x \ y),u,y),z). R(K(x,y),z,T(y * x,z)) = L(K(x,x \ (y * x)),z,y * x). L(K(x,x \ y),z,y) \ K(R(K(x,x \ y),z,T(y,z)),u) = R(K(x,x \ y) * K(u,K(x,x \ y)),z,T(y,z)) \ 1. R(T(K(x,x \ y),z),u,T(y,u)) = L(T(K(x,x \ y),z),u,y). R(K(x,y),z,T(y * x,z)) = L(K(x,y),z,y * x). x != R(y,z,u) | x = ((y * z) * u) / (z * u). L(K(x,y),z,y * x) = ((K(x,y) * z) * T(y * x,z)) / (z * T(y * x,z)). ((K(x,y) * z) * T(y * x,z)) / (z * T(y * x,z)) = L(K(x,y),z,y * x). R(T(K(x,x \ y),z),u,T(y,u)) = L(K(x,T(x \ y,z)),u,y). R(K(x,T(x \ y,z)),u,T(y,u)) = L(K(x,T(x \ y,z)),u,y). L(K(x,y),z,y * x) != u | R(K(x,y),z,T(y * x,z)) = u. ((x * y) * (K(y,x) * z)) / (z * T(x * y,z)) = L(K(y,x),z,x * y). ((x * y) * (K(y,x) * z)) / ((x * y) * z) = L(K(y,x),z,x * y). x != (y * (K(z,u) * w)) / (y * w) | x = K(z,(y * w) / (y * (u \ w))). L(K(x,y),z,y * x) = K(x,((y * x) * z) / ((y * x) * (y \ z))). K(x,((y * x) * z) / ((y * x) * (y \ z))) = L(K(x,y),z,y * x). L(K(x,x \ y),z,y) \ K(L(K(x,x \ y),z,y),u) = R(K(x,x \ y) * K(u,K(x,x \ y)),z,T(y,z)) \ 1. R(K(x,x \ y) * K(z,K(x,x \ y)),u,T(y,u)) \ 1 = L(K(x,x \ y),u,y) \ K(L(K(x,x \ y),u,y),z). R(K(x,x \ y) * K(z,K(x,x \ y)),u,T(y,u)) \ 1 = L(K(x,x \ y),u,y) \ K(x,K(y,L(z,u,y))). R(K(x,x \ y) * K(z,K(x,x \ y)),u,T(y,u)) \ 1 = L(K(x,x \ y),u,y) \ K(x,K(y,z)). x != L(K(y,z),u,w) \ v5 | x = L(K(z,y),u,w) * v5. R(K(x,x \ y) * K(z,K(x,x \ y)),u,T(y,u)) \ 1 = L(K(x \ y,x),u,y) * K(x,K(y,z)). R(K(x,T(x \ y,z)),u,T(y,u)) \ 1 = L(K(x \ y,x),u,y) * K(x,K(y,z)). L(K(x,T(x \ y,z)),u,y) \ 1 = L(K(x \ y,x),u,y) * K(x,K(y,z)). L(K(x \ y,x),z,y) * K(x,K(y,u)) = L(K(x,T(x \ y,u)),z,y) \ 1. L(K(x \ y,x),z,y) * K(x,K(y,u)) = L(K(T(x \ y,u),x),z,y) * 1. L(K(x \ y,x),z,y) * K(x,K(y,u)) = L(K(x \ y,T(x,u)),z,y) * 1. L(K(x \ y,x),z,y) * K(x,K(y,u)) = L(K(x \ y,T(x,u)),z,y). K(x,K(y,z)) * L(K(x \ y,T(x,z)),u,y) = L(K(x,x \ y),u,y) \ 1. K(x,K(y,z)) * L(K(x \ y,T(x,z)),u,y) != w | L(K(x \ y,x),u,y) = w. T(x,y) * K((x \ ((y \ 1) \ x)) * T(x,y),x \ ((y \ 1) \ x)) = (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,T(1 \ y,x)). T(x,y) * K((x \ ((y \ 1) \ x)) * T(x,y),x \ ((y \ 1) \ x)) = (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,T(y,x)). T(x,y) * K((x \ ((y \ 1) \ x)) * T(x,y),x \ ((y \ 1) \ x)) = (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y). T(x,y) * K((y \ 1) \ x,x \ ((y \ 1) \ x)) = (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y). (x * ((y \ ((z \ 1) \ y)) \ T((z \ 1) \ y,z))) \ (x * T(y,z)) = L(K(y \ ((z \ 1) \ y),(y \ ((z \ 1) \ y)) * T(y,z)),T(y,z),x). L(K(x \ ((y \ 1) \ x),(x \ ((y \ 1) \ x)) * T(x,y)),T(x,y),z) = (z * ((x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y))) \ (z * T(x,y)). T(x,y) * K((y \ 1) \ x,T(1 \ y,x)) = (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y). (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y) = T(x,y) * K((y \ 1) \ x,T(1 \ y,x)). (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y) = T(x,y) * K((y \ 1) \ x,T(y,x)). (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y) = T(x,y) * K(x / (y \ 1),y). (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y) = T(x,y) * K(x * y,y). x != T(y,z) * K(y * z,u) | x = z \ T(y * z,u). (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y) = y \ T(x * y,y). (x \ 1) * ((K(y,z) * u) * T((K(z,y) \ u) \ ((x \ 1) \ u),z)) = ((x \ 1) * (K(x,z) * ((x \ 1) \ K(z,y)))) * (K(z,y) \ u). (x \ 1) * ((K(y,z) * u) * T((K(y,z) * u) \ ((x \ 1) \ u),z)) = ((x \ 1) * (K(x,z) * ((x \ 1) \ K(z,y)))) * (K(z,y) \ u). (x \ 1) * (K(y,z) * (u * T(u \ (K(y,z) \ ((x \ 1) \ u)),z))) = ((x \ 1) * (K(x,z) * ((x \ 1) \ K(z,y)))) * (K(z,y) \ u). (x \ 1) * (y * T(y \ ((x \ 1) \ y),z)) = ((x \ 1) * (K(x,z) * ((x \ 1) \ K(z,u)))) * (K(z,u) \ y). K((x \ 1) \ 1,y) * z = ((x \ 1) * (K(x,y) * ((x \ 1) \ K(y,u)))) * (K(y,u) \ z). ((x \ 1) * (K(x,y) * ((x \ 1) \ K(y,z)))) * (K(y,z) \ u) = K((x \ 1) \ 1,y) * u. ((x \ 1) * (K(x,y) * ((x \ 1) \ K(y,z)))) * (K(y,z) \ u) = K(x,y) * u. (K(x,y) * K(y,z)) * (K(y,z) \ u) = K(x,y) * u. (K(x,y) * K(y,z)) * u = K(x,y) * (K(y,z) * u). x * y != (K(z,u) * K(u,w)) * v5 | (K(z,u) * (K(u,w) * v5)) / y = x. (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(z,x)) * u = K(z,x) * (K(x,y) * u). x != K(y,z) * (K(z,u) * w) | x = K(z,u) * (K(y,z) * w). (K(x,y) * K(z,x)) * u = K(x,y) * (K(z,x) * u). (K(x,y) * K(z,x)) * (K(y,x) * u) = 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). x != L(T(T(y,K(z,u)),K(z,w)),K(u,z),K(z,w)) | x = T(y,K(z,w) * K(u,z)). T(T(x,K(y,z)),K(y,u)) = T(x,K(y,u) * K(z,y)). L(x,K(y,T(z,u)),K(z,w)) = x. (K(x,y) * K(z,T(x,u))) * w = K(x,y) * (K(z,T(x,u)) * w). (K(x,y) * K(z,x)) \ u = K(y,x) * (K(x,z) * u). T(T(x,K(y,z)),K(y,u)) = T(x,K(y,z) * K(u,y)). (K(x,y) * K(y,z)) \ u = K(z,y) * (K(y,x) * u). T(T(x,K(y,z)),K(y,u)) = x * K(x,K(y,z) * K(u,y)). x * K(x,K(y,z) * K(u,y)) = T(T(x,K(y,z)),K(y,u)). 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(u,y)) = T(x,K(y,u) * K(z,y)). x != K(y,z) * (K(z,u) * w) | x = (K(z,u) * K(y,z)) * w. (K(x,y) * K(y,z)) \ u = (K(y,x) * K(z,y)) * u. T(x * K(K(y,z) * K(u,y),x),K(y,u) * K(z,y)) = x. x * K(x,K(y,z) * K(u,y)) = T(x,K(y,u) * K(z,y)). (x * (K(y,z) * K(u,y))) / T(((K(y,z) * K(u,y)) \ x) * (K(y,z) * K(u,y)),K(y,u) * K(z,y)) = T(K(y,z) * K(u,y),(K(y,z) * K(u,y)) \ x). 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) * z) \ (K(x,u) * z) = T(K(x,u) * K(y,x),K(x,y) * z). T(K(x,y) * K(z,x),K(x,z) * u) = (K(x,z) * u) \ (K(x,y) * u). x * K(x,K(y,z) * K(u,y)) = T(K(x,K(y,z)) * x,K(y,u)). T(K(x,K(y,z)) * x,K(y,u)) = x * K(x,K(y,z) * K(u,y)). x != T(K(y * R(z,u,w),z),v5) * T(K(z,y),v5) | x = a(z,y,R(z,u,w)). T(K(x,y) * K(y * R(x,z,u),x),w) = a(x,y,R(x,z,u)). x != T(K(y,K(z,u)) * w,K(z,v5)) | x = K(y,K(z,u)) * T(w,K(z,v5)). x * K(x,K(y,z) * K(u,y)) = K(x,K(y,z)) * T(x,K(y,u)). K(x,K(y,z)) * T(x,K(y,u)) = x * K(x,K(y,z) * K(u,y)). K(x,K(y,z)) * K(x,K(y,u)) = K(x,K(y,z) * K(u,y)). 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,y) * K(z,x)) \ u) \ u) \ 1 = (K(x,y) * K(z,x)) \ (K((K(x,y) * K(z,x)) \ u,K(x,y)) * K((K(x,y) * K(z,x)) \ u,K(x,z))). (K(x,y) * K(z,x)) \ (K((K(x,y) * K(z,x)) \ u,K(x,y)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = (((K(x,y) * K(z,x)) \ u) \ u) \ 1. K(x,K(y,z)) * K(x * K(y,u),K(y,w)) = K(x * K(y,u),K(y,z) * K(w,y)). (K(x,y) * (K(y,z) * u)) * (K(y,x) * K(z,y)) = u * K(K(x,y) * K(y,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)). x != K(y,K(z,u)) * K(y,K(z,w)) | x = K(y,K(z,u) * K(w,z)). K(x * K(y,z),K(y,u) * K(w,y)) = K(x,K(y,u) * K(w,y)). K(x,K(y,z) * K(u,y)) = K(K(w,y) * x,K(y,z) * K(u,y)). K(K(x,y) * z,K(y,u) * K(w,y)) = K(z,K(y,u) * K(w,y)). 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 != T(T(y,K(z,u)),K(z,w)) | x = T(y,K(z,u) * K(w,z)). x * K(K(y,z) * K(z,u),x) = T(x,K(z,u) * K(y,z)). x * y != T(x,K(z,u) * K(w,z)) | y = K(x,K(z,w) * K(u,z)). K(K(x,y) * K(y,z),u) = K(u,K(y,x) * K(z,y)). x * K(K(y,z) * K(u,y),x) = T(x,K(y,z) * K(u,y)). K(K(x,y) * K(z,x),u) = K(u,K(x,y) * K(z,x)). T(T(x,K(y,z) * K(u,y)),K(y,u) * K(z,y)) = x. K(K(x,y) * K(z,x),u) = K(u,K(z,x) * K(x,y)). 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). K(K(x,y) * K(y,z),u) = K(u,K(x,y) * K(y,z)). x != K(K(y,z) * K(z,u),w) | x = K(w,K(z,y) * K(u,z)). K(x,K(y,z) * K(z,u)) = K(x,K(z,y) * K(u,z)). K(x,K(y,z) * K(u,y)) = K(x,K(z,y) * K(y,u)). x != K(K(y,z) * u,K(z,w) * K(v5,z)) | x = K(u,K(z,w) * K(v5,z)). K(K(x,y) * z,K(u,y) * K(y,w)) = K(z,K(y,u) * K(w,y)). T(x * K(y,z),K(z,u)) / (K(u,z) * x) = (K(y,z) * K(z,u)) * K(x,K(z,y) * K(u,z)). (x * (K(y,z) * K(u,y))) / x = T(K(y,z) * K(u,y),x). T(x * K(y,z),K(z,u)) / (K(u,z) * x) = T(K(z,u) * K(y,z),K(u,z) * x). K(x,K(y,z)) * K(x,K(z,u)) = K(z,K(x,y) * K(u,x)). x != (K(y,z) * K(z,u)) * w | x = K(y,z) * (K(z,u) * w). T(x * K(y,z),K(z,u)) / (K(u,z) * x) = K(y,z) * (K(z,u) * K(x,K(z,y) * K(u,z))). (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. (L(x,y,z) \ x) * (x \ L(x,y,z)) = 1. 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). K((L(x,y,z) \ x) \ 1,L(x,y,z) \ x) * (((x \ L(x,y,z)) * u) / (1 * u)) = ((((x \ L(x,y,z)) * u) / (((L(x,y,z) \ x) * (x \ L(x,y,z))) * u)) \ 1) \ 1. ((((x \ L(x,y,z)) * u) / (((L(x,y,z) \ x) * (x \ L(x,y,z))) * u)) \ 1) \ 1 = K((L(x,y,z) \ x) \ 1,L(x,y,z) \ x) * (((x \ L(x,y,z)) * u) / (1 * u)). (((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). ((x * y) \ y) \ 1 = T(((y * x) \ y) \ 1,y). T(((x * y) \ x) \ 1,x) = ((y * x) \ x) \ 1. x != T(((y * z) \ y) \ 1,y) | x = L(z \ 1,z,y) \ K(z,y). ((x * y) \ y) \ 1 = L(x \ 1,x,y) \ K(x,y). L(x \ 1,x,y) \ K(x,y) = ((x * y) \ y) \ 1. L((K(x,y) * K(z,x)) \ 1,K(x,y) * K(z,x),u) \ K(K(x,y) * K(z,x),u) = (((K(y,x) * K(x,z)) \ u) \ u) \ 1. (K(x,y) * K(y,z)) \ K(K(y,x) * K(z,y),u) = (((K(x,y) * K(y,z)) \ u) \ u) \ 1. (((K(x,y) * K(y,z)) \ u) \ u) \ 1 = (K(x,y) * K(y,z)) \ K(K(y,x) * K(z,y),u). x != (K(y,z) * K(z,u)) \ w | x = (K(z,y) * K(u,z)) * w. (((K(x,y) * K(y,z)) \ u) \ u) \ 1 = (K(y,x) * K(z,y)) * K(K(y,x) * K(z,y),u). (((K(x,y) * K(y,z)) \ u) \ u) \ 1 = T(K(y,x) * K(z,y),u). ((K(x,y) * (K(y,z) * u)) \ u) \ 1 = T(K(y,z) * K(x,y),u). K(x,y \ (x \ 1)) / ((L(y * (x * ((y \ 1) / x)),z,u) \ 1) * (y * (x * ((y \ 1) / x)))) = L(K(y \ (x \ 1),x) \ 1,z,u). K(x,y \ (x \ 1)) / ((L(K(x,y \ (x \ 1)),z,u) \ 1) * (y * (x * ((y \ 1) / x)))) = L(K(y \ (x \ 1),x) \ 1,z,u). K(x,y \ (x \ 1)) / ((K(x,L(x * y,z,u) \ 1) \ 1) * (y * (x * ((y \ 1) / x)))) = L(K(y \ (x \ 1),x) \ 1,z,u). K(x,y \ (x \ 1)) / (K(L(x * y,z,u) \ 1,x) * (y * (x * ((y \ 1) / x)))) = L(K(y \ (x \ 1),x) \ 1,z,u). K(x,y \ (x \ 1)) / (K(L(x * y,z,u) \ 1,x) * K(x,y \ (x \ 1))) = L(K(y \ (x \ 1),x) \ 1,z,u). (x * K(y,z * x)) / T(T(K(y,z),x * K(y,z * x)),x * K(y,z * x)) = (K(y,z * x) * x) / K(y,T(z,x * K(y,z * x))). (x * K(y,z * x)) / T(T(K(y,z),x * K(y,z * x)),x * K(y,z * x)) = (K(y,z * x) * x) / K(y,T(z,x)). x != y / K(z,T(u,w)) | x = y * K(u,T(z,w)). (x * K(y,z * x)) / T(T(K(y,z),x * K(y,z * x)),x * K(y,z * x)) = (K(y,z * x) * x) * K(z,T(y,x)). x != (K(y,z) * u) * K(w,T(y,v5)) | x = K(y,z) * (u * K(w,T(y,v5))). (x * K(y,z * x)) / T(T(K(y,z),x * K(y,z * x)),x * K(y,z * x)) = K(y,z * x) * (x * K(z,T(y,x))). (x * K(y,z * x)) / T(T(K(y,z),x * K(y,z * x)),x * K(y,z * x)) = K(y,z * x) * (K(z,y) * x). (x * K(y,z * x)) / K(y,z) = K(y,z * x) * (K(z,y) * x). (x * K(y,z * x)) * K(z,y) = K(y,z * x) * (K(z,y) * x). K(x,y * z) * (K(y,x) * z) != u | z * (K(x,y * z) * K(y,x)) = u. L(x,y,z) * (K(x,u * L(x,y,z)) * K(u,x)) = L(L(x,u,x),y,z). L(x,y,z) * (K(u,x) * K(x,u * L(x,y,z))) = L(L(x,u,x),y,z). L(x,y,z) * (a(x,u,L(x,y,z)) \ 1) = L(L(x,u,x),y,z). L(x,y,z) \ L(L(x,u,x),y,z) = a(x,u,L(x,y,z)) \ 1. K(x * (y \ T(y * z,y)),K(y * z,L(y,z,x))) / ((x * z) / (x * (y \ T(y * z,y)))) = 1 / ((x * (y \ T(y * z,y))) \ (x * z)). L(K(x \ ((y \ 1) \ x),(x \ ((y \ 1) \ x)) * T(x,y)),T(x,y),z) = (z * (y \ T(x * y,y))) \ (z * T(x,y)). K(x * (y \ T(y * z,y)),K(y * z,y)) / ((x * z) / (x * (y \ T(y * z,y)))) = 1 / ((x * (y \ T(y * z,y))) \ (x * z)). K(x * y,K(z * (x \ T(x * y,x)),x)) / ((z * y) / (z * (x \ T(x * y,x)))) = 1 / ((z * (x \ T(x * y,x))) \ (z * y)). K(x * y,K(z * (x \ (x * y)),x)) / ((z * y) / (z * (x \ T(x * y,x)))) = 1 / ((z * (x \ T(x * y,x))) \ (z * y)). K(x * y,K(z * y,x)) / ((z * y) / (z * (x \ T(x * y,x)))) = 1 / ((z * (x \ T(x * y,x))) \ (z * y)). K(x,K(x * y,z * y)) / ((z * y) / (z * (x \ T(x * y,x)))) = 1 / ((z * (x \ T(x * y,x))) \ (z * y)). K(x,K(y,z * y)) / ((z * y) / (z * (x \ T(x * y,x)))) = 1 / ((z * (x \ T(x * y,x))) \ (z * y)). K(x,K(y,z)) / ((y * z) / (y * (x \ T(x * z,x)))) = 1 / ((y * (x \ T(x * z,x))) \ (y * z)). K(x,K(y,z)) / ((x * z) / (x * (y \ T(y * z,y)))) = 1 / ((x * (y \ T(y * z,y))) \ (x * z)). K(x,K(y,z)) / L(K(y,T(z * y,x)),z,x) = 1 / ((x * (y \ T(y * z,y))) \ (x * z)). K(x,K(y,z)) * L(K(T(z * y,x),y),z,x) = 1 / ((x * (y \ T(y * z,y))) \ (x * z)). K(x,K(y,z)) * L(K(z * y,T(y,x)),z,x) = 1 / ((x * (y \ T(y * z,y))) \ (x * z)). 1 / ((x * (y \ T(y * z,y))) \ (x * z)) != K(x,K(y,z)) * u | L(K(z * y,T(y,x)),z,x) = u. (((T(x,y) \ 1) * x) * T((x \ 1) \ 1,y)) * (T((x \ 1) \ 1,y) \ y) = y * T(y \ T(y * K(x \ 1,x),x),T((x \ 1) \ 1,y)). (K(x,y) * T(y,x)) * (T((y \ 1) \ 1,x) \ x) = x * T(x \ T(x * K(y \ 1,y),y),T((y \ 1) \ 1,x)). x * T(x \ T(x * K(y \ 1,y),y),T((y \ 1) \ 1,x)) = (K(x,y) * T(y,x)) * (T((y \ 1) \ 1,x) \ x). x * T(x \ T(x * K(y \ 1,y),y),T((y \ 1) \ 1,x)) = y * (T((y \ 1) \ 1,x) \ x). x != y * (T((y \ 1) \ 1,z) \ z) | x = y \ (z * (1 / (1 / y))). x * T(x \ T(x * K(y \ 1,y),y),T((y \ 1) \ 1,x)) = y \ (x * (1 / (1 / y))). x * T((T(y,x) \ 1) * y,T((y \ 1) \ 1,x)) = y \ (x * (1 / (1 / y))). x * T((T(y,x) \ 1) * y,T(y,x)) = y \ (x * (1 / (1 / y))). x * ((T(y,x) \ 1) * y) = y \ (x * (1 / (1 / y))). x \ (y * (1 / (1 / x))) = y * ((T(x,y) \ 1) * x). K((x * ((T(y,x) \ 1) * y)) \ z,T(z,u)) = K((x * (1 / (1 / y))) \ (y * z),T(z,u)). K((x * (1 / (1 / y))) \ (y * z),T(z,u)) = K((x * ((T(y,x) \ 1) * y)) \ z,T(z,u)). K((x * y) \ (((y \ 1) \ 1) * z),T(z,u)) = K((x * ((T(y,x) \ 1) * y)) \ z,T(z,u)). K((x * ((T(y,x) \ 1) * y)) \ z,T(z,u)) = K((x * y) \ (((y \ 1) \ 1) * z),T(z,u)). x != K(y \ (((z \ 1) \ 1) * u),T(u,w)) | x = K(y \ (u * z),T(u,w)). K((x * ((T(y,x) \ 1) * y)) \ z,T(z,u)) = K((x * y) \ (z * y),T(z,u)). x != K((y * z) \ (u * z),T(u,y)) | x = K(y \ u,T(u,z)). K((x * ((T(y,x) \ 1) * y)) \ z,T(z,x)) = K(x \ z,T(z,y)). x != K((y * ((T(z,y) \ 1) * z)) \ u,w) | x = K(T(y,z) \ u,w). K(x \ y,T(y,z)) = K(T(x,z) \ y,T(y,x)). K(T(x,y) \ z,T(z,x)) = K(x \ z,T(z,y)). x != K(T(y,z) \ u,T(u,y)) | x = K(T(y,z) \ u,u). K(x \ y,T(y,z)) = K(T(x,z) \ y,y). K(T(x,y) \ z,z) = K(x \ z,T(z,y)). R(x,y,z) \ R(x * K(u \ x,T(x,w)),y,z) = K(T(u,w) \ x,R(x,y,z)). x != R(y,z,u) \ R(y * K(w,T(y,v5)),z,u) | x = K(w,R(T(y,v5),z,u)). K(T(x,y) \ z,R(z,u,w)) = K(x \ z,R(T(z,y),u,w)). (x * y) / (R((z \ R(1 / u,u,x)) * z,u * x,y) * ((u * x) * y)) = K(z,(x * y) / (z * (R(R(1 / u,u,x),u * x,y) \ (x * y)))). (1 / (x \ y)) \ R(1 / (x \ y),z,L(1 / (x \ y),x \ y,x)) = K(z * (1 / (1 / (y \ x))),T(y \ x,z)) * K(1 / (x \ y),z). (1 / (x \ y)) \ R(1 / (x \ y),z,L(1 / (x \ y),x \ y,x)) = K(z * (y \ x),y \ x) * K(1 / (x \ y),z). (1 / (x \ y)) \ R(1 / (x \ y),z,L(1 / (x \ y),x \ y,x)) = K(z * (y \ x),y \ x) * K((x \ y) \ 1,z). (1 / (x \ y)) \ R(1 / (x \ y),z,L(1 / (x \ y),x \ y,x)) = K(z * (y \ x),y \ x) * K(y \ x,z). x != K(y * z,z) * K(z,y) | x = z \ R(z,y,z). (1 / (x \ y)) \ R(1 / (x \ y),z,L(1 / (x \ y),x \ y,x)) = (y \ x) \ R(y \ x,z,y \ x). (1 / (x \ y)) \ R(1 / (x \ y),z,1 / (1 / (y \ x))) = (y \ x) \ R(y \ x,z,y \ x). (1 / (x \ y)) \ R(1 / (x \ y),z,y \ x) = (y \ x) \ R(y \ x,z,y \ x). (x \ y) * R((x \ y) \ 1,z,y \ x) = (y \ x) \ R(y \ x,z,y \ x). x != (y \ z) * R((y \ z) \ 1,u,w) | x = y \ (z * R(z \ y,u,w)). (x \ y) \ R(x \ y,z,x \ y) = y \ (x * R(x \ y,z,x \ y)). T(x,x \ y) \ R((x \ y) \ y,z,(x \ y) \ y) = y \ ((x \ y) * R((x \ y) \ y,z,(x \ y) \ y)). T(x,x \ y) \ R((x \ y) \ y,z,(x \ y) \ y) = y \ (R(x,z,(x \ y) \ y) * (x \ y)). T(x,x \ y) \ R((x \ y) \ y,z,(x \ y) \ y) = y \ (R(x,z,x) * (x \ y)). x != T(y,y \ z) \ R((y \ z) \ z,u,(y \ z) \ z) | x = y \ R(y,u,y). x \ (R(y,z,y) * (y \ x)) = y \ R(y,z,y). x * (y \ R(y,z,y)) = R(y,z,y) * (y \ x). R(x,y,x) * (x \ z) = z * (x \ R(x,y,x)). R(x,y,x) * (x \ z) = z * a(x,y,x). x != R(y,y \ z,y) * (y \ u) | x = (u / y) * ((y \ z) \ T(z,y)). x * a(y,y \ z,y) = (x / y) * ((y \ z) \ T(z,y)). (x / y) * ((y \ z) \ T(z,y)) = x * a(y,y \ z,y). x != R(y,z,y) * (y \ u) | x = (u / y) * R(y,z,y). x * a(y,z,y) = (x / y) * R(y,z,y). (x / y) * R(y,z,y) = x * a(y,z,y). x * y != R(z,u,z) * (z \ w) | (w * a(z,u,z)) / y = x. (x * a(y,z,y)) / R(y,z,y) = x / y. x * (y * a(x,z,x)) = R(x,z,x) * y. (x * a(y,z,y)) \ (x * R(y,z,y)) = y. x * R(y,z,y) = (x * y) * a(y,z,y). (x * y) * a(y,z,y) = x * R(y,z,y). (x / y) * R(y,z,y) != x * u | a(y,z,y) = u. ((x \ y) * L(x,z,u)) * R(T(x,x \ y),w,T(x,x \ y)) = (y * L(x,z,u)) * a(T(x,x \ y),w,T(x,x \ y)). K(x,y) * ((z / y) * R(y,u,y)) = y * (L(T(y,x),u,y) \ z). R(x / y,y,a(y,z,y)) = x / y. R((x * y) / y,y,a(y,z,y)) = x. R(x,y,a(y,z,y)) = x. (x * a(y,z,y)) \ ((x * y) * a(y,z,y)) = L(T(y,a(y,z,y)),a(y,z,y),R(x,y,a(y,z,y))). L(T(x,a(x,y,x)),a(x,y,x),R(z,x,a(x,y,x))) = (z * a(x,y,x)) \ ((z * x) * a(x,y,x)). x * (a(x,y,x) * z) = R(x,y,x) * z. (x * (y * z)) \ (x * (y * R(z,u,z))) != w | L(a(z,u,z),y * z,x) = w. (((x * R(y,z,y)) / (x * y)) \ 1) \ 1 = (a(y,z,y) \ 1) \ K(x * y,a(y,z,y)). (a(x,y,x) \ 1) \ K(z * x,a(x,y,x)) = (((z * R(x,y,x)) / (z * x)) \ 1) \ 1. x * y != R(x,z,u) * (x * w) | y = R(x,z,u) * w. 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. x != K(y,z) * ((u / z) * R(z,w,z)) | x = R(z,w,z) * (T(z,y) \ u). x * (L(T(x,y),z,x) \ u) = R(x,z,x) * (T(x,y) \ u). R(x,y,x) * (T(x,z) \ u) = x * (L(T(x,z),y,x) \ u). K(x,y) * (x * (L(T(x,z),u,x) \ w)) = R(T(x,y),u,x) * (T(x,z) \ w). 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). a(x,y,x) * K(z * x,a(x,y,x)) = (((z * R(x,y,x)) / (z * x)) \ 1) \ 1. (((x * R(y,z,y)) / (x * y)) \ 1) \ 1 = a(y,z,y) * K(x * y,a(y,z,y)). (R(a(x,y,x),x,z) \ 1) \ 1 = a(x,y,x) * K(z * x,a(x,y,x)). a(x,y,x) * K(z * x,a(x,y,x)) = (R(a(x,y,x),x,z) \ 1) \ 1. x != (R(y,z,u) \ 1) \ 1 | x = R((y \ 1) \ 1,z,u). a(x,y,x) * K(z * x,a(x,y,x)) = R((a(x,y,x) \ 1) \ 1,x,z). L(T(x,a(x,y,x)),a(x,y,x),R(z,x,a(x,y,x))) = (z * a(x,y,x)) \ (z * R(x,y,x)). x != (y * a(z,u,z)) \ (y * R(z,u,z)) | x = z. L(T(x,a(x,y,x)),a(x,y,x),R(z,x,a(x,y,x))) = x. L(x,a(x,y,x),R(z,x,a(x,y,x))) = x. L(x,a(x,y,x),z) = x. (x * a(y,z,y)) * L(y,u,w) = x * (a(y,z,y) * L(y,u,w)). ((x \ y) * L(x,z,u)) * R(T(x,x \ y),w,x) = (y * L(x,z,u)) * a(T(x,x \ y),w,T(x,x \ y)). (x * L(y,z,u)) * a(T(y,y \ x),w,T(y,y \ x)) = ((y \ x) * L(y,z,u)) * R(T(y,y \ x),w,y). (K(x,y) * K(z,x)) \ (K((K(x,y) * K(z,x)) \ u,K(x,y)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = ((K(y,x) * (K(x,z) * u)) \ u) \ 1. (x * y) / (R(R((z \ (1 / u)) * z,u,x),u * x,y) * ((u * x) * y)) = K(z,(x * y) / (z * (R(R(1 / u,u,x),u * x,y) \ (x * y)))). x != ((K(y,z) * (K(z,u) * w)) \ w) \ 1 | x = T(K(z,u) * K(y,z),w). (K(x,y) * K(z,x)) \ (K((K(x,y) * K(z,x)) \ u,K(x,y)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = T(K(x,z) * K(y,x),u). (K(x,y) * K(z,x)) \ (K(K(y,x) * (K(x,z) * u),K(x,y)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = T(K(x,z) * K(y,x),u). (K(x,y) * K(z,x)) \ (K(x,K(u,y)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = T(K(x,z) * K(y,x),u). (K(x,y) * K(z,x)) \ (K(x,K(y,u)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = T(K(x,z) * K(y,x),u). (K(x,y) * K(z,x)) \ (K(x,K(y,u)) * K(K(y,x) * (K(x,z) * u),K(x,z))) = T(K(x,z) * K(y,x),u). (K(x,y) * K(z,x)) \ (K(x,K(y,u)) * K(x,K(u,z))) = T(K(x,z) * K(y,x),u). (K(x,y) * K(z,x)) \ K(u,K(x,y) * K(z,x)) = T(K(x,z) * K(y,x),u). x != (K(y,z) * K(u,y)) \ w | x = K(z,y) * (K(y,u) * w). T(K(x,y) * K(z,x),u) = K(z,x) * (K(x,y) * K(u,K(x,z) * K(y,x))). K(x,y) * (K(y,z) * K(u,K(y,x) * K(z,y))) = T(K(y,z) * K(x,y),u). x != K(y,z) * (K(z,u) * K(w,K(z,y) * K(u,z))) | x = T(w * K(y,z),K(z,u)) / (K(u,z) * w). T(K(x,y) * K(z,x),u) = T(u * K(z,x),K(x,y)) / (K(y,x) * u). T(x * K(y,z),K(z,u)) / (K(u,z) * x) = T(K(z,u) * K(y,z),x). x != T(y * K(z,u),K(u,w)) / (K(w,u) * y) | x = T(K(u,w) * K(z,u),K(w,u) * y). T(K(x,y) * K(z,x),u) = T(K(x,y) * K(z,x),K(y,x) * u). T(K(x,y) * K(z,x),K(y,x) * u) = T(K(x,y) * K(z,x),u). (x * y) / ((R((z \ (1 / u)) * z,u,x) * (u * x)) * y) = K(z,(x * y) / (z * (R(R(1 / u,u,x),u * x,y) \ (x * y)))). K(x,(y * z) / (x * (R(R(1 / u,u,y),u * y,z) \ (y * z)))) = (y * z) / ((R((x \ (1 / u)) * x,u,y) * (u * y)) * z). K(x,(y * z) / (x * (R(R(1 / u,u,y),u * y,z) \ (y * z)))) = (y * z) / (((((x \ (1 / u)) * x) * u) * y) * z). K(x,(y * z) / (x * (R(R(1 / u,u,y),u * y,z) \ (y * z)))) = (y * z) / ((K(u \ (x \ 1),x) * y) * z). x != (y * z) / ((K(u,w) * y) * z) | x = R(K(w,u),y,z). K(x,(y * z) / (x * (R(R(1 / u,u,y),u * y,z) \ (y * z)))) = R(K(x,u \ (x \ 1)),y,z). x != R(K(y,z \ (y \ 1)),u,w) | x = K(y,R(z * y,u,w) \ 1). K(x,(y * z) / (x * (R(R(1 / u,u,y),u * y,z) \ (y * z)))) = K(x,R(u * x,y,z) \ 1). K(x,(y * z) / (x * ((u * y) * z))) = K(x,R(u * x,y,z) \ 1). K(x,R(y,z,u) \ (x \ 1)) = K(x,R(y * x,z,u) \ 1). K(x,R(y * x,z,u) \ 1) = K(x,R(y,z,u) \ (x \ 1)). K(R(x,y,z) \ 1,u \ x) = K(x \ 1,R(u,y,z) \ ((x \ 1) \ 1)). K(x \ 1,R(y,z,u) \ ((x \ 1) \ 1)) = K(R(x,z,u) \ 1,y \ x). K(R(x,y,z) \ 1,u \ x) = K(x \ 1,R(u,y,z) \ x). x != K(R(y,z / u,u) \ 1,(w / (z / u)) \ y) | x = K(y \ 1,z / ((y \ w) * u)). K(x \ 1,R(y / (z / u),z / u,u) \ x) = K(x \ 1,z / ((x \ y) * u)). K(x \ 1,((y * z) / u) \ x) = K(x \ 1,u / ((x \ y) * z)). K(x \ 1,y / ((x \ z) * u)) = K(x \ 1,((z * u) / y) \ x). x != K(y \ 1,z / ((y \ u) * w)) | x = K(y \ 1,z / ((u / y) * w)). K(x \ 1,((y * z) / u) \ x) = K(x \ 1,u / ((y / x) * z)). K(x \ 1,y / ((z / x) * u)) = K(x \ 1,((z * u) / y) \ x). x != K((y \ 1) \ 1,z / ((u / (y \ 1)) * w)) | x = K(y,z / ((u * y) * w)). K((x \ 1) \ 1,((y * z) / u) \ (x \ 1)) = K(x,u / ((y * x) * z)). K(x,((y * z) / u) \ (x \ 1)) = K(x,u / ((y * x) * 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)). x != K(y,z / (u * y)) | x = K(y,z / (y * u)). K(x,y / ((z * x) * u)) = K(x,y / (x * (z * u))). x != K(y,((z * y) * u) / ((z * y) * (z \ u))) | x = L(K(y,z),u,z * y). 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))). (x \ 1) / (x \ K(x,y / (x * (z * u)))) = K(y / ((x * z) * u),x). 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)). L(T(K(x,y),z),u,y * x) = T(K(x,R(y,x,u)),z). K(x,R(y,x,T(z,y * x))) != u | K(((z / x) * (y * x)) \ (z * (y * x)),y) = u. K(x,R(y,x,z)) * ((y * x) * z) = (K(x,y) * z) * T(y * x,z). L(T(K(x,y),z),u,y * x) = K(x,T(R(y,x,u),z)). L(T(K(x,y),z),u,y * x) = K(x,R(T(y,z),x,u)). L(K(x,T(y,z)),u,y * x) = K(x,R(T(y,z),x,u)). x != K(y,R(T(z,u),z \ w,v5)) | x = R(K(y,T(z,u)),w,v5). L(K(x \ y,T(x,z)),u,x * (x \ y)) = R(K(x \ y,T(x,z)),y,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. x * (K(y \ x,y) * z) = ((y \ x) * y) * z. (x * y) \ z = K(y,x) * ((y * x) \ z). K(x,y) * ((x * y) \ z) = (y * x) \ z. L(x,K(y \ z,y),z) = x. L(x,K(y,y \ z),z) = x. x != L(K(y \ z,y) * u,K(y,y \ z),z) | x = (y * (z / y)) \ (z * u). K(x \ y,x) * z = (x * (y / x)) \ (y * z). (x * (y / x)) \ (y * z) = K(x \ y,x) * z. ((x * y) \ z) \ 1 = ((y * x) \ z) \ K(x,y). ((x * y) \ z) \ K(y,x) = ((y * x) \ z) \ 1. L(K(x \ y,x),z,y) * (y * z) = ((x \ y) * x) * z. x * y != ((z \ x) * z) * u | y = ((z \ x) * z) * (x \ u). K(x \ y,x) * z = ((x \ y) * x) * (y \ z). ((x \ y) * x) * (y \ z) = K(x \ y,x) * z. (x * (y / x)) \ z = K(x \ y,x) * (y \ z). K(x \ y,x) * (y \ z) = (x * (y / x)) \ z. K(x,y) * ((((x * y) \ y) \ 1) \ z) = (((y * x) \ y) \ 1) \ z. ((x \ y) * x) * z = K(x \ y,x) * (y * z). K(x \ y,x) * (y * z) = ((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 \ z) * y) * (z \ u) | x = K(y \ z,y) * u. x * ((y * (x / y)) \ z) = K(y \ x,y) * z. x * y != K(z,u) * (K(u,z) * (x * w)) | y = w. (x * (y / x)) \ (K(x,x \ y) * (y * z)) = z. L(x,y,K(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). L(x,T(y,z) * z,K(z,y)) = x. L(x,y,z) = L(x,y,T(z,y)). L(x,y,T(z,y)) = L(x,y,z). L(x,y,y \ z) = L(x,y,z / y). L(x,y,z / y) = L(x,y,y \ z). L(x,T(y,z),z) = L(x,y,z). x != L(y,z,u * 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,y) = L(x,z / y,y). L(x,y / z,z) = L(x,z \ y,z). x != L(y,1 / z,u / (1 / z)) | x = L(y,z \ u,z). L(x,1 / y,(1 / y) \ z) = L(x,y \ z,y). (x * (T(y,x) * z)) / L(z,y,x) = y * x. x != L(y,1 / z,u) | x = L(y,z \ 1,u). L(x,y \ z,y) = L(x,y \ 1,(1 / y) \ z). L(x,y \ 1,(1 / y) \ z) = L(x,y \ z,y). x * (y * z) != ((u \ y) * u) * z | x = K(u \ y,u). L(K(x \ y,x),z,y) = K(x \ y,x). K(x,y) * ((y \ ((x \ 1) \ y)) \ z) = (((y * x) \ y) \ 1) \ z. x != K(y,z) * ((z \ ((y \ 1) \ z)) \ u) | x = (((y \ 1) \ z) / z) \ u. (((x * y) \ x) \ 1) \ z = (((y \ 1) \ x) / x) \ z. (((x \ 1) \ y) / y) \ z = (((y * x) \ y) \ 1) \ z. x != (((y \ 1) \ z) / z) \ K(y,y \ 1) | x = 1 / (((y \ 1) \ z) / z). (((x * y) \ x) \ 1) \ K(y,y \ 1) = 1 / (((y \ 1) \ x) / x). (x * y) \ x = 1 / (((y \ 1) \ x) / x). 1 / (((x \ 1) \ y) / y) = (y * x) \ y. 1 / (((x \ y) / y) \ 1) = (y * x) \ y. (x * y) \ x = (y \ x) / x. (x \ y) / y = (y * x) \ y. x / y = (y * (y / x)) \ y. (x * (x / y)) \ x = y / x. K(x / (y * (z * u)),y) = K(x / ((y * z) * u),y). K(x / ((y * z) * u),y) = K(x / (y * (z * u)),y). x != K(y / ((z * u) * y),z) | x = K(u \ (z \ 1),z). K(x / (y * (z * x)),y) = K(z \ (y \ 1),y). K(x / ((y * x) * z),z) = K(y \ (z \ 1),z). K((x \ y) / (z * y),z) = K(x \ (z \ 1),z). K(x / (y * z),z) = K((y / x) \ (z \ 1),z). K((x / y) \ (z \ 1),z) = K(y / (x * z),z). K(((x \ y) * x) / (z * (y / (y / x))),z) = K((x / y) \ (z \ 1),z). L(K(x \ y,T(x,z)),u,y) = R(K(x \ y,T(x,z)),y,u). R(K(x \ y,T(x,z)),y,u) = L(K(x \ y,T(x,z)),u,y). x != K((y / z) \ (u \ 1),u) | x = K(z / (y * u),u). K(((x \ y) * x) / (z * (y / (y / x))),z) = K(y / (x * z),z). x != K(((y \ z) * y) / (u * (z / (z / y))),u) | x = K(R(u \ (z / y),u,z / (z / y)),u). K(x / (y * z),z) = K(R(z \ (x / y),z,x / (x / y)),z). K(R(x \ (y / z),x,y / (y / z)),x) = K(y / (z * x),x). (K(x,y \ (x \ 1)) * L(K(y \ (x \ 1),x),z,u)) * ((y * (x * ((y \ 1) / x))) \ w) = w * L(w \ ((y * (x * ((y \ 1) / x))) \ w),z,u). (K(x,y \ (x \ 1)) * K(L(y * x,z,u) \ 1,x)) * ((y * (x * ((y \ 1) / x))) \ w) = w * L(w \ ((y * (x * ((y \ 1) / x))) \ w),z,u). (K(x,y \ (x \ 1)) * K(L(y,z,u) \ (x \ 1),x)) * ((y * (x * ((y \ 1) / x))) \ w) = w * L(w \ ((y * (x * ((y \ 1) / x))) \ w),z,u). (K(x,y \ (x \ 1)) * K(L(y,z,u) \ (x \ 1),x)) * (K(x,y \ (x \ 1)) \ w) = w * L(w \ ((y * (x * ((y \ 1) / x))) \ w),z,u). (K(x,y \ (x \ 1)) * K(L(y,z,u) \ (x \ 1),x)) * (K(y \ (x \ 1),x) * w) = w * L(w \ ((y * (x * ((y \ 1) / x))) \ w),z,u). x != (K(y,z) * K(u,y)) * (K(z,y) * w) | x = K(u,y) * w. x * L(x \ ((y * (z * ((y \ 1) / z))) \ x),u,w) = K(L(y,u,w) \ (z \ 1),z) * x. x * L(x \ (K(y,z \ (y \ 1)) \ x),u,w) = K(L(z,u,w) \ (y \ 1),y) * x. x * L(K(y \ (z \ 1),T(z,x)),u,w) = K(L(y,u,w) \ (z \ 1),z) * x. x * K(L(y * z,u,w) \ 1,T(y,x)) = K(L(z,u,w) \ (y \ 1),y) * x. K(L(x * y,z,u) \ 1,x) * w = K(L(y,z,u) \ (x \ 1),x) * w. K(x,y \ (x \ 1)) / (K(L(y,z,u) \ (x \ 1),x) * K(x,y \ (x \ 1))) = L(K(y \ (x \ 1),x) \ 1,z,u). K(x,L(y,z,u) \ (x \ 1)) = L(K(y \ (x \ 1),x) \ 1,z,u). L(K(x \ (y \ 1),y) \ 1,z,u) = K(y,L(x,z,u) \ (y \ 1)). L(K(x,y \ (x \ 1)),z,u) = K(x,L(y,z,u) \ (x \ 1)). x != L(K(y,z \ (y \ 1)),u,w) | x = K(y,L(y * z,u,w) \ 1). K(x,L(y,z,u) \ (x \ 1)) = K(x,L(x * y,z,u) \ 1). K(x,L(x * y,z,u) \ 1) = K(x,L(y,z,u) \ (x \ 1)). x != K(y \ 1,L((y \ 1) * z,u,w) \ 1) | x = K(L(y,u,w) \ 1,z \ y). K(x \ 1,L(y,z,u) \ ((x \ 1) \ 1)) = K(L(x,z,u) \ 1,y \ x). K(L(x,y,z) \ 1,u \ x) = K(x \ 1,L(u,y,z) \ x). x != K(L(y,z,u) \ 1,(w \ v5) \ y) | x = K(L(y,z,u) \ 1,v5 \ (y * w)). K(x \ 1,L(y \ z,u,w) \ x) = K(L(x,u,w) \ 1,z \ (x * y)). K(L(x,y,z) \ 1,u \ (x * w)) = K(x \ 1,L(w \ u,y,z) \ x). x != K(L(y,z \ u,z) \ 1,w \ (y * (z \ u))) | x = K(y \ 1,(z * (y \ w)) \ u). K(x \ 1,L((y \ z) \ u,y \ z,y) \ x) = K(x \ 1,(y * (x \ u)) \ z). K(x \ 1,(y \ (z * u)) \ x) = K(x \ 1,(z * (x \ u)) \ y). K(x \ 1,(y * (x \ z)) \ u) != w | K(x \ 1,(y * z) \ (x * u)) = w. K(x,K(K(x \ y,x) * z,R(x \ y,y,u))) * R(K(x \ y,x) * K(z,K(x \ y,x)),y,u) = L((y * u) / ((x * (y / x)) * u),z,K(x \ y,x)). K(x,K(y,R(x \ z,z,u))) * R(K(x \ z,x) * K(y,K(x \ z,x)),z,u) = L((z * u) / ((x * (z / x)) * u),y,K(x \ z,x)). K(x,K(y,R(z,y,u))) * R(K(x \ y,x) * K(z,K(x \ y,x)),y,u) = L((y * u) / ((x * (y / x)) * u),z,K(x \ y,x)). K(x,K(y,z)) * R(K(x \ y,x) * K(z,K(x \ y,x)),y,u) = L((y * u) / ((x * (y / x)) * u),z,K(x \ y,x)). L((x * y) / ((z * (x / z)) * y),u,K(z \ x,z)) = K(z,K(x,u)) * R(K(z \ x,z) * K(u,K(z \ x,z)),x,y). L((x * y) / ((z * (x / z)) * y),u,K(z \ x,z)) = K(z,K(x,u)) * R(K(z \ x,T(z,u)),x,y). L(R(K(x \ y,x),y,z),u,K(x \ y,x)) = K(x,K(y,u)) * R(K(x \ y,T(x,u)),y,z). x != L(R(K(y,z),u,w),v5,K(y,v6)) | x = R(K(y,z),u,w). K(x,K(y,z)) * R(K(x \ y,T(x,z)),y,u) = R(K(x \ y,x),y,u). K(x,K(y,z)) * L(K(x \ y,T(x,z)),u,y) = R(K(x \ y,x),y,u). L(K(x \ y,x),z,y) = R(K(x \ y,x),y,z). R(K(x \ y,x),y,z) = L(K(x \ y,x),z,y). x != L(K(y \ z,y),u,z) | x = K(y \ z,y). R(K(x \ y,x),y,z) = K(x \ y,x). x != R(K(y \ z,u),z,w) | x = K(R(y \ z,y,w),u). K(x \ y,x) = K(R(x \ y,x,z),x). K(R(x \ y,x,z),x) = K(x \ y,x). x != K(R(y \ (z / u),y,z / (z / u)),y) | 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(R(x,y,z),y) = K(y \ (y * x),y). x != K(y \ (y * z),y) | x = K(R(z,y,u),y). K(R(x,y,z),y) = K(R(x,y,u),y). K(R(x,y,z),y) = K(x,y). K(R(x,y,z),T(y,u)) = K(x,T(y,u)). K(x,R(y,x,z)) = K(x,y). K(((x / y) * (z * y)) \ (x * (z * y)),z) = K(y,z). 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)). 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). x != K(R(y,z,u),T(z,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 / (z * u),u) | x = K((T(u,w) \ y) / z,u). K(x \ (y / z),x) = K((T(x,u) \ y) / z,x). K((T(x,y) \ z) / u,x) = K(x \ (z / u),x). K(x,x \ (y / z)) = K(x,y / (x * z)). K(x,y / (x * z)) = K(x,x \ (y / z)). 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(x,x \ (y / (z * u))) = T(x,y / ((x * z) * u)). R(x,y,z) \ R(x * K(x \ (u / w),x),y,z) = K((T(x,v5) \ u) / w,R(x,y,z)). K((T(x,y) \ z) / u,R(x,w,v5)) = R(x,w,v5) \ R(x * K(x \ (z / u),x),w,v5). x != K(((y / z) * u) \ (y * u),w) | x = K(z,((y / w) * u) \ (y * u)). K(x,y) = K(x,((z / y) * (y * x)) \ (z * (y * x))). K(x,((y / z) * (z * x)) \ (y * (z * x))) = K(x,z). K(((x \ 1) \ y) / y,((z / y) * ((x \ 1) \ T(y,x))) \ (z * (y * (((x \ 1) \ y) / y)))) = K(((x \ 1) \ y) / y,y). T(x,x \ (y / (z * u))) = T(x,y / ((x * z) * u)). T(x,y / ((x * z) * u)) = T(x,x \ (y / (z * u))). R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = T(R(x,z,u),y / R(x,z,u)). R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = T(R(x,z,u),R(x,z,u) \ y). 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). x / R(T(y,y \ x),z,u) = R(y,z,u) \ x. (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(y \ x,z,u) = R(x / y,z,u) \ x. (R(x / y,z,u) \ x) \ x = R(y \ x,z,u). (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(((x * K(y,x)) \ y) \ y,z,u) = (R(x,z,u) \ ((R(x,z,u) * y) / R(x,z,u))) \ y. x != (R(y,z,u) * w) / (R(T(y,v5),z,u) * w) | x = K(v5,R(y,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(x \ (R(x,y,z) / u),R(x,y,z)) != w | K(u \ 1,R(x,y,z)) = w. K((T(x,y) \ z) / u,R(x,w,v5)) = K(x \ (z / u),R(x,w,v5)). x != K((T(y,z) \ R(y,u,w)) / v5,R(y,u,w)) | x = K(v5 \ (T(y,z) \ R(y,u,w)),R(y,u,w)). K(x \ (R(x,y,z) / u),R(x,y,z)) = K(u \ (T(x,w) \ R(x,y,z)),R(x,y,z)). K(x \ (T(y,z) \ R(y,u,w)),R(y,u,w)) = K(y \ (R(y,u,w) / x),R(y,u,w)). K(x \ 1,R(y,z,u)) = K(x \ (T(y,w) \ R(y,z,u)),R(y,z,u)). K(x \ (T(y,z) \ R(y,u,w)),R(y,u,w)) = K(x \ 1,R(y,u,w)). K(x \ R(y,z,u),R(y,z,u)) = K((T(y,w) \ x) \ 1,R(y,z,u)). K((T(x,y) \ z) \ 1,R(x,u,w)) = K(z \ R(x,u,w),R(x,u,w)). x != K((T(y,y \ 1) \ z) \ 1,u) | x = K(z \ y,u). K(x \ R(y,z,u),R(y,z,u)) = K(x \ y,R(y,z,u)). x != K(T(y,z) \ u,u) | x = K(y \ u,T(u,z)). K(T(x,y) \ z,R(z,u,w)) = K(x \ R(z,u,w),T(R(z,u,w),y)). K(x \ R(y,z,u),T(R(y,z,u),w)) = K(T(x,w) \ y,R(y,z,u)). x != K(T(y,z) \ u,R(u,w,v5)) | x = K(y \ u,R(T(u,z),w,v5)). K(x \ R(y,z,u),T(R(y,z,u),w)) = K(x \ y,R(T(y,w),z,u)). K(x \ R(y,z,u),R(T(y,w),z,u)) = K(x \ y,R(T(y,w),z,u)). K((x \ 1) \ y,R(T(y,z),u,w)) = K(x * R(y,u,w),R(T(y,z),u,w)). K(x * R(y,z,u),R(T(y,w),z,u)) = K((x \ 1) \ y,R(T(y,w),z,u)). K(x * R(y,z,u),R(T(y,w),z,u)) = K(x * y,R(T(y,w),z,u)). x != K(y * R(z,u,w),R(T(z,K(y,v5)),u,w)) | x = K(y * R(z,u,w),R(z,u,w)). K(x * y,R(T(y,K(x,z)),u,w)) = K(x * R(y,u,w),R(y,u,w)). K(x * R(y,z,u),R(y,z,u)) = K(x * y,R(T(y,K(x,w)),z,u)). K(x * R(y,z,u),R(y,z,u)) = K(x * y,R(y,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),x \ 1,x)). 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)). 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). T(R(x * K(y * x,x),z,u),y) = R(R(x,z,u),y,L(R(x,z,u),x \ 1,x)). T(R(x * K(x * y,x),z,u),y) = R(R(x,z,u),y,L(R(x,z,u),x \ 1,x)). R(T(x * K(x * y,x),y),z,u) = R(R(x,z,u),y,L(R(x,z,u),x \ 1,x)). R(R(x,y,x),z,u) = R(R(x,z,u),y,L(R(x,z,u),x \ 1,x)). R(R(x,y,z),u,L(R(x,y,z),x \ 1,x)) = 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),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). 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 != K(y / z,u \ (w * (z * (y / z)))) | x = K(y / z,u \ (w * y)). K(((x \ 1) \ y) / y,y) = K(((x \ 1) \ y) / y,((z / y) * ((x \ 1) \ T(y,x))) \ (z * ((x \ 1) \ y))). K(((x \ 1) \ y) / y,((z / y) * ((x \ 1) \ T(y,x))) \ (z * ((x \ 1) \ y))) = K(((x \ 1) \ y) / y,y). x != K((y \ z) / z,u) | x = K(y \ 1,u). K(((x \ 1) \ y) / y,y) = K((x \ 1) \ 1,((z / y) * ((x \ 1) \ T(y,x))) \ (z * ((x \ 1) \ y))). K((x \ 1) \ 1,((y / z) * ((x \ 1) \ T(z,x))) \ (y * ((x \ 1) \ z))) = K(((x \ 1) \ z) / z,z). K((x \ 1) \ 1,((y / z) * T(z,x)) \ ((x \ 1) * (y * ((x \ 1) \ z)))) = K(((x \ 1) \ z) / z,z). K((x \ 1) \ 1,(y * K(z,x)) \ ((x \ 1) * (y * ((x \ 1) \ z)))) = K(((x \ 1) \ z) / z,z). K(x,(y * K(z,x)) \ ((x \ 1) * (y * ((x \ 1) \ z)))) = K(((x \ 1) \ z) / z,z). K(((x \ 1) \ y) / y,y) = K(x,(z * K(y,x)) \ ((x \ 1) * (z * ((x \ 1) \ y)))). x != K(y,z \ ((y \ 1) * u)) | x = K(y,z \ (y \ u)). K(((x \ 1) \ y) / y,y) = K(x,(z * K(y,x)) \ (x \ (z * ((x \ 1) \ y)))). x != K(y,(z * K(u,y)) \ w) | x = K(y,z \ w). K(((x \ 1) \ y) / y,y) = K(x,z \ (x \ (z * ((x \ 1) \ y)))). x != K(y,z \ (y \ (z * ((y \ 1) \ u)))) | x = K(y,L(u,y,z)). K(((x \ 1) \ y) / y,y) = K(x,L(y,x,z)). K(x,y) = K(x,L(y,x,z)). K(x,L(y,x,z)) = K(x,y). K(x,L(y,x,z)) != u | K(x,y) = u. 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). L(K(x,y),z * x,u) != w | K(L(x,z,u),y) = w. K(x,y \ (x \ z)) != u | K(x,x \ (y \ z)) = u. ((x * T(y,x)) * L(x,y,z)) \ (x * (y * L(x,y,z))) = K(L(x,y,z),x * T(y,x)). T(L(x,y,z),(z * (y * x)) \ ((z * y) * u)) = L(T(x,L(x,y,z) \ u),y,z). L(T(x,L(x,y,z) \ u),y,z) = L(T(x,(z * (y * x)) \ ((z * y) * u)),y,z). L(T(x,(y * (z * x)) \ ((y * z) * u)),z,y) = L(T(x,L(x,z,y) \ u),z,y). ((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),x * u) = K(L(x,y,z),u * L(x,u,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),z,u) | x = (u * (y \ T(z * y,y))) \ (u * T(z,y)). K(x,x * y) = (z * (x \ T(y * x,x))) \ (z * T(y,x)). (x * (y \ T(z * y,y))) \ (x * T(z,y)) = K(y,y * z). x != L(K(y,y * (z \ u)),z \ u,u * (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)). 1 / L(K(x,x * y),y,z) = K(x * y,x). K(x,(y \ z) \ x) = K(x,x * (z \ y)). 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)). x != K(y,z \ ((y \ u) * y)) | x = K(y,z \ u). K(x,x * (y \ (x \ z))) = K(x,y \ z). L(K(x,x * (y \ z)),u * x,w) = K(L(x,u,w),y \ (z * x)). x != K(L(y,z,u),w \ (L(y,z,u) * L(K(y,v5),v6,v7))) | x = K(L(y,z,u),T(w \ L(y,z,u),L(K(y,v5),v6,v7))). K(L(x,y,z),L(x,y,z) * (u \ L(K(x,w),v5,v6))) = K(L(x,y,z),T(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))) = K(L(x,y,z),L(x,y,z) * (u \ L(K(x,w),v5,v6))). L(K(x,x * (y \ (z \ u))),z \ u,z) = K(x,(z * (x \ y)) \ u). L(K(x * y,x),y,z) = K(x * y,x). 1 / ((x * (y \ T(y * z,y))) \ (x * z)) = K(y * z,y). x != L(K(y * ((z * u) \ z),y),(z * u) \ z,u * z) | x = K(u \ y,y). K(x * ((y * z) \ y),x) = K(z \ x,x). K(x * (y \ z),x) = K((z \ y) \ x,x). K((x \ y) \ z,z) = K(z * (y \ x),z). K(x * L(y \ 1,y,z),x) = K(y \ x,x). K(x * ((y * (z * u)) \ (y * z)),x) = K(L(u,z,y) \ x,x). K(x * (y / z),x) = K((z / y) \ x,x). K((x / y) \ z,z) = K(z * (y / x),z). x != K((y \ z) \ u,u) | x = K(z \ (y * u),u). K(x * (y \ z),x) = K(y \ (z * x),x). K(x \ (y * z),z) = K(z * (x \ y),z). K((x \ y) \ z,x) = K(x * (y \ z),x). L(x * K(x * (y \ z),x),u,w) / L(x,u,w) = K(y \ (z * x),L(x,u,w)). L(K(x * (y \ (z \ u)),x),z \ u,z) = K((z * (x \ y)) \ u,x). x != (y * (z \ T(u * z,z))) \ (y * T(u,z)) | x = L(K(u \ ((z \ 1) \ u),(u \ ((z \ 1) \ u)) * T(u,z)),T(u,z),y). K(x,x * y) = L(K(y \ ((x \ 1) \ y),(y \ ((x \ 1) \ y)) * T(y,x)),T(y,x),z). L(K(x \ ((y \ 1) \ x),(x \ ((y \ 1) \ x)) * T(x,y)),T(x,y),z) = K(y,y * x). x != K(y,z) | x = T(K(y,T(z,u)),u). 1 / ((x * (y \ T(y * z,y))) \ (x * z)) = T(K(y * z,T(y,u)),u). T(K(x * y,T(x,z)),z) = 1 / ((u * (x \ T(x * y,x))) \ (u * y)). K(L(x,y,z),x * (u \ w)) = K(L(x,y,z),u \ (w * x)). 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). T(K(x,K(y,z)) * K(y * z,y),x) = 1 / ((u * (y \ T(y * z,y))) \ (u * z)). K(x * (y \ z),L(x,u,w)) = K(y \ (z * x),L(x,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(x,K(y,z)) * K(y * z,T(y,x)) = 1 / ((u * (y \ T(y * z,y))) \ (u * z)). 1 / ((x * (y \ T(y * z,y))) \ (x * z)) = K(u,K(y,z)) * K(y * z,T(y,u)). L(K(x * y,T(y,z)),x,z) = K(y * x,T(y,z)). x != L(K(y * z,T(z,u)),y,u) | x = K((u / (u * y)) \ z,z). K(x * y,T(x,z)) = K((z / (z * y)) \ x,x). K((x / (x * y)) \ z,z) = K(z * y,T(z,x)). x != K((y / z) \ u,u) | x = K(u * (z / y),u). K(x * y,T(x,z)) = K(x * ((z * y) / z),x). K(x * ((y * z) / y),x) = K(x * z,T(x,y)). K(x * (y / z),x) = K(x * (z \ y),T(x,z)). K(x * (y \ z),T(x,y)) = K(x * (z / y),x). x != K(y * (z \ u),T(y,z)) | x = K(y * (z \ u),T(y,u)). K(x * (y / z),x) = K(x * (z \ y),T(x,y)). K(x * (y \ z),T(x,z)) = K(x * (z / y),x). K(x * (y / z),x) * K(x,T(z \ y,y)) = a(x,z \ y,x). K(x * (y / z),x) * K(x,y / z) = a(x,z \ y,x). a(x,y / z,x) = a(x,z \ y,x). L(K(x \ ((y \ 1) \ x),(x \ ((y \ 1) \ x)) * T(x,y)),T(x,y),z) = K(y,x * y). L(K(x \ ((y \ 1) \ x),(y \ 1) \ x),T(x,y),z) = K(y,x * y). L(K((x \ 1) \ 1,(x \ 1) \ y),T(y,x),z) = K(x,y * x). L(K(x,(x \ 1) \ y),T(y,x),z) = K(x,y * x). L(K(x,x * y),T(y,x),z) = K(x,y * x). L(K(x,y * x),T(y,x),z) = K(x,y * x). K(x,y * x) = L(K(x,y * x),y,z). L(K(x,y * x),y,z) = K(x,y * x). 1 / K(x,y * x) = L(K(y * x,x),y,z). L(K(x * y,y),x,z) = 1 / K(y,x * y). L(K(x * y,y),x,z) = K(x * y,y). L(K(x * y,y),z * x,u) = L(K(y * L(x,z,u),y),L(x,z,u),u * z). L(K(x * L(y,z,u),x),L(y,z,u),u * z) = L(K(y * x,x),z * y,u). x != L(K(y * z,y),z,u) | x = K(y * z,y). L(K(x * y,y),z * x,u) = K(y * L(x,z,u),y). L(K((x \ (y \ z)) * u,u),x * (x \ (y \ z)),y) = K(u * ((y * x) \ z),u). L(K(L(x \ 1,x,y) * z,z),(y * x) * L(x \ 1,x,y),u) = K(z * ((u * (y * x)) \ (u * y)),z). L(K(x * (y \ (z \ u)),x),y * (y \ (z \ u)),z) = K(x * ((z * y) \ u),x). L(K(x * (y \ (z \ u)),x),z \ u,z) = K(x * ((z * y) \ u),x). x != L(K(y * (z \ (u \ w)),y),u \ w,u) | x = K((u * (y \ z)) \ w,y). K(x * ((y * z) \ u),x) = K((y * (x \ z)) \ u,x). K((x * (y \ z)) \ u,y) = K(y * ((x * z) \ u),y). K((x * y) \ z,u) = K(u * ((x * (u * y)) \ z),u). K(x * ((y * (x * z)) \ u),x) = K((y * z) \ u,x). 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),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)). L(K(x * L(y \ 1,y,z),x),(z * y) * L(y \ 1,y,z),u) = K(x * ((u * (z * y)) \ (u * z)),x). L(K(x \ y,y),(z * x) * L(x \ 1,x,z),u) = K(y * ((u * (z * x)) \ (u * z)),y). L(K(x \ y,y),z,u) = K(y * ((u * (z * x)) \ (u * z)),y). K(x * ((y * (z * u)) \ (y * z)),x) = L(K(u \ x,x),z,y). x != K(y * ((z * (u * w)) \ (z * u)),y) | x = K(L(w,u,z) \ y,y). L(K(x \ y,y),z,u) = K(L(x,z,u) \ y,y). K(L(x,y,z) \ u,u) \ 1 = L(K(u,x \ u),y,z). K(x,L(y,z,u) \ x) = L(K(x,y \ x),z,u). L(K(x,y \ x),z,u) = K(x,L(y,z,u) \ x). L(K(x,x * (y \ z)),u,w) = K(x,L(z \ y,u,w) \ x). x != L(K(y,y * (z \ (u \ w))),u \ w,u) | x = K(y,(u * (y \ z)) \ w). K(x,L((y \ z) \ u,y \ z,y) \ x) = K(x,(y * (x \ u)) \ z). K(x,(y \ (z * u)) \ x) = K(x,(z * (x \ u)) \ y). x != K(y,(z \ u) \ y) | x = K(y,y * (u \ z)). K(x,(y * (x \ z)) \ u) = K(x,x * ((y * z) \ u)). K(x,(y * (z / x)) \ u) = K(x,x * ((y * z) \ u)). x != K(y,y * (z \ (y \ u))) | x = K(y,z \ u). K(x,(y * (x \ z)) \ (x \ u)) = K(x,(y * z) \ u). K(x,(y * z) \ u) = K(x,x * ((y * (x * z)) \ u)). K(x,x * ((y * (x * z)) \ u)) = K(x,(y * z) \ u). K(x,x \ ((y * (x \ z)) \ u)) = K(x,(y * z) \ u). K(x,(y * z) \ (x \ u)) = K(x,(y * (x * z)) \ u). K(x,(y * (x * z)) \ u) = K(x,(y * z) \ (x \ u)). T(x,(y * (x * z)) \ u) * K(w,K(x,(y * z) \ u)) = ((y * (x * z)) \ u) \ T(x * ((y * (x * z)) \ u),K(w,x)). ((x * (y * z)) \ u) \ T(y * ((x * (y * z)) \ u),K(w,y)) = T(y,(x * (y * z)) \ u) * K(w,K(y,(x * z) \ u)). K(x,(y * z) \ u) * T(x * K(((y * (x * z)) \ u) * x,x),(y * (x * z)) \ u) = T(x,T((y * (x * z)) \ u,x)). 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)) != v6 | K(L(x,y,z),(u * w) \ v5) = v6. x != T(y,z) * K(u,K(y,w)) | x = K(y,z) * T(y,K(u,w)). ((x * (y * z)) \ u) \ T(y * ((x * (y * z)) \ u),K(w,y)) = K(y,(x * (y * z)) \ u) * T(y,K(w,(x * z) \ u)). K(x,(y * z) \ u) * T(x * K(x * ((y * (x * z)) \ u),x),(y * (x * z)) \ u) = T(x,T((y * (x * z)) \ u,x)). ((x * (y * z)) \ u) \ T(y * ((x * (y * z)) \ u),K(w,y)) = K(y,(x * z) \ (y \ u)) * T(y,K(w,(x * z) \ u)). K(x,(y * z) \ u) * T(x * K((y * z) \ u,x),(y * (x * z)) \ u) = T(x,T((y * (x * z)) \ u,x)). T(x,T((y * (x * z)) \ u,(y * z) \ u)) = T(x,T((y * (x * z)) \ u,x)). T(x,T((y * (x * z)) \ u,(y * z) \ u)) != w | T(x,(y * (x * z)) \ u) = w. x != K(y,z \ (y \ u)) * T(y,K(w,z \ u)) | x = T(y,T(z \ (y \ u),w)). ((x * (y * z)) \ u) \ T(y * ((x * (y * z)) \ u),K(w,y)) = T(y,T((x * z) \ (y \ u),w)). ((x * (y * z)) \ u) \ T(y * ((x * (y * z)) \ u),K(y,w)) = T(y,T((x * z) \ (y \ u),w)). T(x,T((y * (x * z)) \ u,w)) = T(x,T((y * z) \ (x \ u),w)). T(x,(y * (x * z)) \ u) = T(x,T((y * z) \ (x \ u),(y * z) \ u)). T(x,T((y * z) \ (x \ u),(y * z) \ u)) = T(x,(y * (x * z)) \ u). x != T(y,T(z \ (y \ u),z \ u)) | x = T(y,z \ (y \ 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)). L(T(x,(y * z) \ (x \ ((y * z) * u))),z,y) = L(T(x,L(x,z,y) \ u),z,y). L(T(x,x \ y),z,u) = L(T(x,L(x,z,u) \ y),z,u). L(T(x,L(x,y,z) \ u),y,z) = 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 != K(L(y,z,u),L(y,z,u) \ ((w * (y \ (1 / L(y,z,u)))) \ v5)) | x = K(L(y,z,u),(w * (1 / y)) \ v5). K(L(x,y,z),x \ ((u * (x \ (1 / L(x,y,z)))) \ w)) = 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 / 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(L(y,z,u),L(y,z,u) * (w \ L(K(y,v5),v6,v7))) | x = K(L(y,z,u),T(w \ L(y,z,u),L(K(y,v5),v6,v7))). K(L(x,y,z),x * (u \ L(K(x,w),v5,v6))) = K(L(x,y,z),T(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))) = 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))). 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 != R(R(y,z,u),w,L(R(y,z,u),y \ 1,y)) | x = R(R(y,w,y),z,u). R(R(x,y,z),u,R(x,y,z)) = R(R(x,u,x),y,z). (x / y) * R(y,z,y) = x * a(y,z,L(y,u,w)). 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). a(x,y,x) = a(x,y,L(x,z,u)). a(x,y,L(x,z,u)) = a(x,y,x). (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(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. (x * (K(y,z) * K(u,y))) / T((K(z,y) * (K(y,u) * x)) * (K(y,z) * K(u,y)),K(y,u) * K(z,y)) = T(K(y,z) * K(u,y),(K(y,z) * K(u,y)) \ x). (x * (K(y,z) * K(u,y))) / T(T((K(y,u) * x) * K(u,y),K(y,z)),K(y,u) * K(z,y)) = T(K(y,z) * K(u,y),(K(y,z) * K(u,y)) \ x). (x * (K(y,z) * K(u,y))) / T(T(T(x,K(y,u)),K(y,z)),K(y,u) * K(z,y)) = T(K(y,z) * K(u,y),(K(y,z) * K(u,y)) \ x). (x * (K(y,z) * K(u,y))) / T(T(x,K(y,z) * K(u,y)),K(y,u) * K(z,y)) = T(K(y,z) * K(u,y),(K(y,z) * K(u,y)) \ x). (x * (K(y,z) * K(u,y))) / x = T(K(y,z) * K(u,y),(K(y,z) * K(u,y)) \ x). T(K(x,y) * K(z,x),(K(x,y) * K(z,x)) \ u) = (u * (K(x,y) * K(z,x))) / u. x != (y * (K(z,u) * K(w,z))) / y | x = T(K(z,u) * K(w,z),y). T(K(x,y) * K(z,x),(K(x,y) * K(z,x)) \ u) = T(K(x,y) * K(z,x),u). T(K(x,y) * K(z,x),K(y,x) * (K(x,z) * u)) = T(K(x,y) * K(z,x),u). x != T(K(y,z) * K(u,y),K(z,y) * w) | x = T(K(y,z) * K(u,y),w). T(K(x,y) * K(z,x),u) = T(K(x,y) * K(z,x),K(x,z) * u). T(K(x,y) * K(z,x),K(x,z) * u) = T(K(x,y) * K(z,x),u). x != T(K(y,z) * K(u,y),K(y,u) * w) | x = (K(y,u) * w) \ (K(y,z) * w). T(K(x,y) * K(z,x),u) = (K(x,z) * u) \ (K(x,y) * u). (K(x,y) * z) \ (K(x,u) * z) = T(K(x,u) * K(y,x),z). x != (K(y,z) * u) \ (K(y,w) * u) | x = K(y,T(w,u)) * K(z,T(y,u)). T(K(x,y) * K(z,x),u) = K(x,T(y,u)) * K(z,T(x,u)). 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) * K(y * L(x,z,u),T(x,y)),w,v5) * (((x * y) * L(x,z,u)) / T(x,y)) = (((x * y) * L(x,z,u)) / T(x,y)) * R(T(x,y),w,v5). R(R(x,y,L(x,z,u)),w,v5) * (((x * y) * L(x,z,u)) / T(x,y)) = (((x * y) * L(x,z,u)) / T(x,y)) * R(T(x,y),w,v5). R(R(x,y,L(x,z,u)),w,v5) * (y * L(x,z,u)) = (((x * y) * L(x,z,u)) / T(x,y)) * R(T(x,y),w,v5). (R(x,y,z) * u) * L(x,w,v5) = (((x * u) * L(x,w,v5)) / T(x,u)) * R(T(x,u),y,z). (((x * y) * L(x,z,u)) / T(x,y)) * R(T(x,y),w,v5) = (R(x,w,v5) * y) * L(x,z,u). (x * L(y,z,u)) * R(T(y,x),w,v5) = (R(y,w,v5) * x) * L(y,z,u). x != ((y \ z) * L(y,u,w)) * R(T(y,y \ z),v5,y) | x = (z * L(y,u,w)) * a(T(y,y \ z),v5,T(y,y \ z)). (R(x,y,x) * (x \ z)) * L(x,u,w) = (z * L(x,u,w)) * a(T(x,x \ z),y,T(x,x \ z)). (x * L(y,z,u)) * a(T(y,y \ x),w,T(y,y \ x)) = (R(y,w,y) * (y \ x)) * L(y,z,u). (x * L(y,z,u)) * a(T(y,y \ x),w,T(y,y \ x)) = (x * a(y,w,y)) * L(y,z,u). x != (y * a(z,u,z)) * L(z,w,v5) | x = y * (a(z,u,z) * L(z,w,v5)). (x * L(y,z,u)) * a(T(y,y \ x),w,T(y,y \ x)) = x * (a(y,w,y) * L(y,z,u)). (x * L(y,z,u)) * a(y,w,y) = x * (a(y,w,y) * L(y,z,u)). (x * (a(y,z,y) * L(y,u,w))) \ ((x * (a(y,z,y) * L(y,u,w))) * a(y,z,y)) = L(a(y,z,y),L(y,u,w),x). L(a(x,y,x),L(x,z,u),w) != v5 | v5 = a(x,y,x). L(a(x,y,x),L(x,z,u),w) != v5 | a(x,y,x) = v5. ((((x \ L(x,y,z)) * u) / (((L(x,y,z) \ x) * (x \ L(x,y,z))) * u)) \ 1) \ 1 = K(x \ L(x,y,z),L(x,y,z) \ x) * (((x \ L(x,y,z)) * u) / (1 * u)). ((((x \ L(x,y,z)) * u) / (((L(x,y,z) \ x) * (x \ L(x,y,z))) * u)) \ 1) \ 1 = K(x \ L(x,y,z),a(z,y,x)) * (((x \ L(x,y,z)) * u) / (1 * u)). ((((x \ L(x,y,z)) * u) / (((L(x,y,z) \ x) * (x \ L(x,y,z))) * u)) \ 1) \ 1 = K(x \ L(x,y,z),a(z,y,x)) * (((x \ L(x,y,z)) * u) / u). ((((x \ L(x,y,z)) * u) / (((L(x,y,z) \ x) * (x \ L(x,y,z))) * u)) \ 1) \ 1 = K(x \ L(x,y,z),a(z,y,x)) * (x \ L(x,y,z)). ((((x \ L(x,y,z)) * u) / (((L(x,y,z) \ x) * (x \ L(x,y,z))) * u)) \ 1) \ 1 = T(x \ L(x,y,z),a(z,y,x)). ((((x \ L(x,y,z)) * u) / (1 * u)) \ 1) \ 1 = T(x \ L(x,y,z),a(z,y,x)). T(x \ L(x,y,z),a(z,y,x)) = ((((x \ L(x,y,z)) * u) / (1 * u)) \ 1) \ 1. T(x \ L(x,y,z),a(z,y,x)) = ((((x \ L(x,y,z)) * u) / u) \ 1) \ 1. T(x \ L(x,y,z),a(z,y,x)) = ((x \ L(x,y,z)) \ 1) \ 1. (L(x,y,z) \ x) * (((x \ L(x,y,z)) \ 1) \ 1) = K(x \ L(x,y,z),a(z,y,x)). (x \ L(x,y,z)) * (L(x,y,z) \ x) = K(x \ L(x,y,z),a(z,y,x)). 1 = K(x \ L(x,y,z),a(z,y,x)). K(x \ L(x,y,z),a(z,y,x)) = 1. x * K(y \ L(y,z,u),a(u,z,y)) = x. K(a(x,y,z),z \ L(z,y,x)) = 1. a(x,y,z) \ 1 = 1 / a(x,y,z). 1 / a(x,y,z) = a(x,y,z) \ 1. (a(x,y,z) \ 1) \ 1 = a(x,y,z). (a(x,y,z) \ 1) \ 1 != u | u = a(x,y,z). (a(x,y,z) \ 1) \ 1 != u | a(x,y,z) = u. (a(x,y,R(x,z,u)) \ 1) \ 1 = a(R(x,z,u),y,x). a(x,y,x) * K(z * x,a(x,y,x)) = R(a(x,y,x),x,z). a(x,y,R(x,z,u)) = a(R(x,z,u),y,x). a(R(x,y,z),u,x) = a(x,u,R(x,y,z)). a(R(x,y,z),u,x) != w | a(x,u,R(x,y,z)) = w. 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)). 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. (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)). 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)). 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)). 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. (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. ((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). 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). L(x,y,a(z,u,z)) = x. (x * (y * a(z,u,z))) \ (x * (a(z,u,z) * (y * w))) = L(w,a(z,u,z) * y,x). a(x,y,x) \ x = L(x,y,R(x,z,u)). L(x,y,R(x,z,u)) = a(x,y,x) \ x. L(x,y,R(x,z,u)) = a(x,y,L(x,w,v5)) \ x. 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). L(x,y,a(z,u,z) * w) = (a(z,u,z) * (w * y)) \ ((a(z,u,z) * w) * (y * x)). (a(x,y,x) * (z * u)) \ ((a(x,y,x) * z) * (u * w)) = L(w,u,a(x,y,x) * z). (x * a(y,z,y)) * u = a(y,z,y) * (x * u). x != a(y,z,L(y,u,w)) \ y | x = L(y,z,L(y,u,w)). L(x,y,R(x,z,u)) = L(x,y,L(x,w,v5)). L(x,y,x) = L(x,y,L(x,z,u)). L(x,y,L(x,z,u)) = L(x,y,x). L(L(x,y,x),z,u) = L(L(x,z,u),y,L(x,w,v5)). L(L(x,y,z),u,L(x,w,v5)) = L(L(x,u,x),y,z). x != a(y,z,y) * u | x = u * a(y,z,y). (x * a(y,z,y)) * u = (x * u) * a(y,z,y). (L(x,y,z) \ L(L(x,u,x),y,z)) \ w = w * a(L(x,y,z),u,L(x,y,z)). 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). (a(x,y,L(x,z,u)) \ 1) \ w = w * a(L(x,z,u),y,L(x,z,u)). x * a(L(y,z,u),w,L(y,z,u)) = (a(y,w,L(y,z,u)) \ 1) \ x. 1 * x != (a(y,z,u) \ 1) \ 1 | x = a(y,z,u). a(L(x,y,z),u,L(x,y,z)) = a(x,u,L(x,y,z)). L(x,y,z) * a(x,u,L(x,y,z)) = R(L(x,y,z),u,L(x,y,z)). x != R(L(y,z,u),w,L(y,z,u)) | x = L(R(y,w,y),z,u). L(x,y,z) * a(x,u,L(x,y,z)) = L(R(x,u,x),y,z). L(x,y,z) * a(x,u,x) = L(R(x,u,x),y,z). (x * (y * z)) \ ((x * y) * L(R(z,u,z),y,x)) = L(a(z,u,z),L(z,y,x),x * y). (a(x,y,x) * (z * u)) \ (a(x,y,x) * (z * (u * w))) = L(w,u,a(x,y,x) * z). L(L(x,y,z),z * y,a(u,w,u)) = L(x,y,a(u,w,u) * z). x != L(y,z,a(u,w,u)) | x = y. L(x,y,a(z,u,z) * w) = L(x,y,w). L(x,y,z * a(u,w,u)) = L(x,y,z). (x * (y * z)) \ (x * (y * R(z,u,z))) = L(a(z,u,z),L(z,y,x),x * y). L(a(x,y,x),z * x,u) = L(a(x,y,x),L(x,z,u),u * z). L(a(x,y,x),L(x,z,u),u * z) = L(a(x,y,x),z * x,u). a(x,y,x) = L(a(x,y,x),z * x,u). L(a(x,y,x),z * x,u) = a(x,y,x). L(a(x,y,x),z,u) = a(x,y,x). x != y | x = y * 1. L(a(x,y,x),z,u) = a(x,y,x) * 1. (x * y) * a(z,u,z) = x * (y * a(z,u,z)). L(a(x,y,x),z,u) != w | w = a(x,y,x). L(a(x,y,x),z,u) != w | a(x,y,x) = w. x * a(y,z,y) != (u * a(y,z,y)) * w | x = u * w. (x * a(y,z,y)) * u = x * (u * a(y,z,y)). (x * a(y,z,y)) * u = x * (a(y,z,y) * u). L(x,a(y,z,y),u) = x. (x * (y * a(z,u,z))) \ ((x * a(z,u,z)) * (y * w)) = L(w,L(y,a(z,u,z),x),x * a(z,u,z)). (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). a(x,y,x) = a(x,L(y,z,u),x). a(x,L(y,z,u),x) = a(x,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). R(x,y \ (z * u),x) = R(x,(z \ y) \ u,x). R(x,(y \ z) \ u,x) = R(x,z \ (y * u),x). x != R(y \ z,(y \ z) \ y,y \ z) | x = ((z / y) \ y) \ y. R(x \ y,y \ (x * x),x \ y) = ((y / x) \ x) \ x. x != ((y / z) \ z) \ z | x = (y \ z) \ 1. R(x \ y,y \ (x * x),x \ y) = (y \ x) \ 1. (x * (y * a(z,u,z))) \ (x * (a(z,u,z) * (y * w))) = L(w,L(y,a(z,u,z),x),x * a(z,u,z)). x != (y * (z * a(u,w,u))) \ (y * (a(u,w,u) * (z * v5))) | x = L(v5,a(u,w,u) * z,y). L(x,L(y,a(z,u,z),w),w * a(z,u,z)) = L(x,a(z,u,z) * y,w). L(x,y,z * a(u,w,u)) = L(x,a(u,w,u) * y,z). L(x,a(y,z,y) * u,w) = L(x,u,w * a(y,z,y)). x != L(y,z,u * a(w,v5,w)) | x = L(y,z,u). L(x,a(y,z,y) * u,w) = L(x,u,w). L(x,R(y,z,y),u) = L(x,y,u). L(x,(y \ z) \ 1,u) = L(x,z \ y,u). L(x,y \ 1,z) = L(x,(u * y) \ u,z). L(x,(y * z) \ y,u) = L(x,z \ 1,u). L(x,L(y \ 1,y,z),u) = L(x,y \ 1,u). x != L(y,L(z \ 1,z,z),z * z) | x = y. L(x,y \ 1,y * y) = x. x != L((1 / y) \ z,L(y \ 1,y,y),y * y) | x = (y * (y * (y \ 1))) \ ((y * y) * z). L((1 / x) \ y,x \ 1,x * x) = (x * (x * (x \ 1))) \ ((x * x) * y). (x * (x * (x \ 1))) \ ((x * x) * y) = L((1 / x) \ y,x \ 1,x * x). x \ ((x * x) * y) = L((1 / x) \ y,x \ 1,x * x). L((1 / x) \ y,x \ 1,x * x) = x \ ((x * x) * y). x != L(y,z \ 1,z * z) | x = y. x \ ((x * x) * y) = (1 / x) \ y. x * y = (1 / x) \ L(y,x,x). (1 / x) \ L(y,x,x) = x * y. L(x,y,y) = L(x,y,y \ 1). L(x,y,y \ 1) = L(x,y,y). (1 / x) * (x * y) = L(y,x,x). (x \ 1) \ (x \ y) = L(y,x,x). T(x * y,x) / x = L(y,x,x). T(T(x,y) * y,x) = x * L(y,x,x). L((x \ 1) \ y,x \ 1,x * L(z,x,x)) = ((x * z) / x) \ (T(T(x,z) * z,x) * y). (x * y) * (y \ 1) = L(x,y,y). x != T(y * z,y) / y | x = z * a(y,z,y). L(x,y,y) = x * a(y,x,y). x * a(y,x,y) = L(x,y,y). a(x,y,x) * y = L(y,x,x). L(x,L(y,z,z),u) = L(x,y,u). x * (y \ 1) = L(x / y,y,y). L(x / y,y,y) = x * (y \ 1). x * L(y,x,x) = (1 / x) \ y. L(x,y * (z \ 1),u) = L(x,y / z,u). x != y * L(z,y,y) | x = (1 / y) \ z. T(T(x,y) * y,x) = (1 / x) \ y. x != L(y,z / u,u) | x = L(y,u \ z,u). L(x,y * (z \ 1),z) = L(x,z \ y,z). ((x * y) / x) * L(z,x \ y,x) = x * ((y * (x \ 1)) * z). L((x \ 1) \ y,x \ 1,(1 / x) \ z) = ((x * z) / x) \ (T(T(x,z) * z,x) * y). ((x * y) / x) \ (T(T(x,y) * y,x) * z) = L((x \ 1) \ z,x \ 1,(1 / x) \ y). ((x * y) / x) \ (((1 / x) \ y) * z) = L((x \ 1) \ z,x \ 1,(1 / x) \ y). L((x \ 1) \ y,x \ 1,(1 / x) \ z) = ((x * z) / x) \ (((1 / x) \ z) * y). x != L(y,z \ 1,(1 / z) \ u) | x = L(y,z \ u,z). ((x * y) / x) \ (((1 / x) \ y) * z) = L((x \ 1) \ z,x \ y,x). ((x * y) / x) * L((x \ 1) \ z,x \ y,x) != u | u = ((1 / x) \ y) * z. ((x * y) / x) * L((x \ 1) \ z,x \ y,x) != u | ((1 / x) \ y) * z = u. ((1 / x) \ y) * z = x * ((y * (x \ 1)) * ((x \ 1) \ z)). x * ((y * (x \ 1)) * ((x \ 1) \ z)) = ((1 / x) \ y) * z. x * ((y * (z / x)) * x) = ((1 / x) \ y) * z. x * ((y * z) * x) = ((1 / x) \ y) * (z * x). $F. (x * y) * (z / (x \ 1)) = (x * (y * z)) * x. (c4 * (c5 * c6)) * c4 != (c4 * c5) * (c6 / (c4 \ 1)). (c4 * c5) * (c6 / (c4 \ 1)) != (c4 * (c5 * c6)) * c4. x \ (((1 / x) \ y) * z) = (y * (z / x)) * x. (x \ 1) \ ((x \ y) * z) = (y * (z / (x \ 1))) * (x \ 1). (x * (y / (z \ 1))) * (z \ 1) = (z \ 1) \ ((z \ x) * y). (x * T(y * z,y)) * (y \ 1) = (y \ 1) \ ((y \ x) * z). x * (y \ 1) != (y \ 1) \ z | x = (y * z) * y. x * T(y * z,y) = (y * ((y \ x) * z)) * y. (x * ((x \ y) * z)) * x = y * T(x * z,x). (x * (y * z)) * x = (x * y) * T(x * z,x). (x * y) * T(x * z,x) = (x * (y * z)) * x. (1 / x) \ (((1 / x) * y) * z) = (y * (z * x)) / x. (1 / c7) \ (((1 / c7) * c8) * c9) != (c8 * (c9 * c7)) / c7. x * (y / (x \ 1)) = (x * y) * x. (1 / x) * (y / x) = ((1 / x) * y) * (1 / x). ((1 / x) * y) * (1 / x) = (1 / x) * (y / x). ((1 / x) * y) * (z / x) = ((1 / x) * (y * z)) * (1 / x). ((1 / x) * (y * z)) * (1 / x) = ((1 / x) * y) * (z / x). x != ((1 / y) * z) * (1 / y) | x = (1 / y) * (z / y). ((1 / x) * y) * (z / x) = (1 / x) * ((y * z) / x). ((1 / x) * y) * z = (1 / x) * ((y * (z * x)) / x). (1 / x) * ((y * (z * x)) / x) = ((1 / x) * y) * z. x \ ((x * y) * z) = (y * (z * (x \ 1))) / (x \ 1). c10 \ ((c10 * c11) * c12) != (c11 * (c12 * (c10 \ 1))) / (c10 \ 1). (c11 * (c12 * (c10 \ 1))) / (c10 \ 1) != c10 \ ((c10 * c11) * c12). (x \ 1) * (y * (x \ 1)) = (x \ y) * (x \ 1). T((x * (y * z)) / z,z) = (((1 / z) * x) * y) * z. x \ (y * (z * x)) = (((1 / x) * y) * z) * x. (((1 / x) * y) * z) * x = x \ (y * (z * x)). ((x * y) * z) * (x \ 1) = (x \ 1) \ (y * (z * (x \ 1))). (x \ 1) \ (y * (z * (x \ 1))) = ((x * y) * z) * (x \ 1). (x \ 1) * (((x * y) * z) * (x \ 1)) != u * w | (y * (z * (x \ 1))) / w = u. (x * (y * (z \ 1))) / (z \ 1) = z \ ((z * x) * y). 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 ((1 / x) \ y) * (z * x) = x * ((y * z) * x) # label("Osborn 1") # label(non_clause) # label(goal). [goal]. 11 (x * y) * (z / (x \ 1)) = (x * (y * z)) * x # label("Osborn 2") # label(non_clause) # label(goal). [goal]. 12 (1 / x) \ (((1 / x) * y) * z) = (y * (z * x)) / x # label("Osborn 3") # label(non_clause) # label(goal). [goal]. 13 x \ ((x * y) * z) = (y * (z * (x \ 1))) / (x \ 1) # label("Osborn 4") # 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). [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]. (x * (y * x)) * ((1 / x) * z) = x * (y * z) # label("gen left Bol"). [assumption]. (x * (y \ 1)) * ((y * z) * y) = (x * z) * y # label("gen right Bol"). [assumption]. ((1 / c1) \ c2) * (c3 * c1) != c1 * ((c2 * c3) * c1) # label("Osborn 1"). [deny(10)]. (c4 * (c5 * c6)) * c4 != (c4 * c5) * (c6 / (c4 \ 1)) # label("Osborn 2"). [deny(11)]. (1 / c7) \ (((1 / c7) * c8) * c9) != (c8 * (c9 * c7)) / c7 # label("Osborn 3"). [deny(12)]. c10 \ ((c10 * c11) * c12) != (c11 * (c12 * (c10 \ 1))) / (c10 \ 1) # label("Osborn 4"). [deny(13)]. end_of_list. formulas(demodulators). end_of_list. % 11761 hints input. ============================== PREDICATE ELIMINATION ================= No predicates eliminated. ============================== end predicate elimination =============  WARNING: denials share constants (see output). Auto_denials: % copying label "Osborn 1" to answer in negative clause % copying label "Osborn 2" to answer in negative clause % copying label "Osborn 3" to answer in negative clause % copying label "Osborn 4" to answer in negative clause % assign(max_proofs, 4). % (Horn set with more than one neg. clause) WARNING, because some of the denials share constants, some of the denials or their descendents may be subsumed, preventing the target number of proofs from being found. The shared constants are: 1. Term ordering decisions: Function symbol KB weights: 1=1. c1=1. c2=1. c3=1. c4=1. c5=1. c6=1. c7=1. c8=1. c9=1. c10=1. c11=1. c12=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, c1, c2, c3, c4, c5, c6, c7, c8, c9, c10, c11, c12, *, 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: 14 1 * x = x. [assumption]. kept: 15 x * 1 = x. [assumption]. kept: 16 x \ (x * y) = y. [assumption]. kept: 17 x * (x \ y) = y. [assumption]. kept: 18 (x * y) / y = x. [assumption]. kept: 19 (x / y) * y = x. [assumption]. kept: 20 x * y != z | x * u != z | u = y. [clausify(1)]. kept: 21 x * y != z | u * y != z | u = x. [clausify(2)]. kept: 22 x * y != x * z | y = z. [clausify(3)]. kept: 23 x * y != z * y | x = z. [clausify(4)]. kept: 24 x != y | z * x = z * y. [assumption]. kept: 25 x != y | x * z = y * z. [assumption]. 26 (x * (y * z)) \ ((x * y) * z) = a(x,y,z) # label("associator"). [assumption]. kept: 27 a(x,y,z) = (x * (y * z)) \ ((x * y) * z). [copy(26),flip(a)]. 28 (x * y) \ (y * x) = K(y,x) # label("commutator"). [assumption]. kept: 29 K(x,y) = (y * x) \ (x * y). [copy(28),flip(a)]. 30 (x * y) \ (x * (y * z)) = L(z,y,x). [assumption]. kept: 31 L(x,y,z) = (z * y) \ (z * (y * x)). [copy(30),flip(a)]. 32 ((x * y) * z) / (y * z) = R(x,y,z). [assumption]. kept: 33 R(x,y,z) = ((x * y) * z) / (y * z). [copy(32),flip(a)]. 34 x \ (y * x) = T(y,x). [assumption]. kept: 35 T(x,y) = y \ (x * y). [copy(34),flip(a)]. kept: 36 a(x,y,z) != 1 | L(z,y,x) = z. [clausify(5)]. kept: 37 L(x,y,z) != x | a(z,y,x) = 1. [clausify(6)]. kept: 38 T(x,y) != x | T(y,x) = y. [clausify(7)]. kept: 39 T(x,y) != x | K(x,y) = 1. [clausify(8)]. kept: 40 K(x,y) != 1 | T(x,y) = x. [clausify(9)]. kept: 41 T(T(x,y),z) = T(T(x,z),y). [assumption]. 42 T(L(x,y,z),u) = L(T(x,u),y,z). [assumption]. kept: 43 L(T(x,y),z,u) = T(L(x,z,u),y). [copy(42),flip(a)]. 44 T(R(x,y,z),u) = R(T(x,u),y,z). [assumption]. kept: 45 R(T(x,y),z,u) = T(R(x,z,u),y). [copy(44),flip(a)]. 46 L(R(x,y,z),u,w) = R(L(x,u,w),y,z). [assumption]. kept: 47 R(L(x,y,z),u,w) = L(R(x,u,w),y,z). [copy(46),flip(a)]. kept: 48 L(L(x,y,z),u,w) = L(L(x,u,w),y,z). [assumption]. kept: 49 R(R(x,y,z),u,w) = R(R(x,u,w),y,z). [assumption]. kept: 50 (x * (y * x)) * ((1 / x) * z) = x * (y * z) # label("gen left Bol"). [assumption]. kept: 51 (x * (y \ 1)) * ((y * z) * y) = (x * z) * y # label("gen right Bol"). [assumption]. kept: 52 ((1 / c1) \ c2) * (c3 * c1) != c1 * ((c2 * c3) * c1) # label("Osborn 1") # answer("Osborn 1"). [deny(10)]. 53 (c4 * (c5 * c6)) * c4 != (c4 * c5) * (c6 / (c4 \ 1)) # label("Osborn 2") # answer("Osborn 2"). [deny(11)]. kept: 54 (c4 * c5) * (c6 / (c4 \ 1)) != (c4 * (c5 * c6)) * c4 # answer("Osborn 2"). [copy(53),flip(a)]. kept: 55 (1 / c7) \ (((1 / c7) * c8) * c9) != (c8 * (c9 * c7)) / c7 # label("Osborn 3") # answer("Osborn 3"). [deny(12)]. 56 c10 \ ((c10 * c11) * c12) != (c11 * (c12 * (c10 \ 1))) / (c10 \ 1) # label("Osborn 4") # answer("Osborn 4"). [deny(13)]. kept: 57 (c11 * (c12 * (c10 \ 1))) / (c10 \ 1) != c10 \ ((c10 * c11) * c12) # answer("Osborn 4"). [copy(56),flip(a)]. ============================== end of process initial clauses ======== ============================== CLAUSES FOR SEARCH ==================== % Clauses after input processing: formulas(usable). 52 ((1 / c1) \ c2) * (c3 * c1) != c1 * ((c2 * c3) * c1) # label("Osborn 1") # answer("Osborn 1"). [deny(10)]. 54 (c4 * c5) * (c6 / (c4 \ 1)) != (c4 * (c5 * c6)) * c4 # answer("Osborn 2"). [copy(53),flip(a)]. 55 (1 / c7) \ (((1 / c7) * c8) * c9) != (c8 * (c9 * c7)) / c7 # label("Osborn 3") # answer("Osborn 3"). [deny(12)]. 57 (c11 * (c12 * (c10 \ 1))) / (c10 \ 1) != c10 \ ((c10 * c11) * c12) # answer("Osborn 4"). [copy(56),flip(a)]. end_of_list. formulas(sos). 14 1 * x = x. [assumption]. 15 x * 1 = x. [assumption]. 16 x \ (x * y) = y. [assumption]. 17 x * (x \ y) = y. [assumption]. 18 (x * y) / y = x. [assumption]. 19 (x / y) * y = x. [assumption]. 20 x * y != z | x * u != z | u = y. [clausify(1)]. 21 x * y != z | u * y != z | u = x. [clausify(2)]. 22 x * y != x * z | y = z. [clausify(3)]. 23 x * y != z * y | x = z. [clausify(4)]. 24 x != y | z * x = z * y. [assumption]. 25 x != y | x * z = y * z. [assumption]. 27 a(x,y,z) = (x * (y * z)) \ ((x * y) * z). [copy(26),flip(a)]. 29 K(x,y) = (y * x) \ (x * y). [copy(28),flip(a)]. 31 L(x,y,z) = (z * y) \ (z * (y * x)). [copy(30),flip(a)]. 33 R(x,y,z) = ((x * y) * z) / (y * z). [copy(32),flip(a)]. 35 T(x,y) = y \ (x * y). [copy(34),flip(a)]. 36 a(x,y,z) != 1 | L(z,y,x) = z. [clausify(5)]. 37 L(x,y,z) != x | a(z,y,x) = 1. [clausify(6)]. 38 T(x,y) != x | T(y,x) = y. [clausify(7)]. 39 T(x,y) != x | K(x,y) = 1. [clausify(8)]. 40 K(x,y) != 1 | T(x,y) = x. [clausify(9)]. 41 T(T(x,y),z) = T(T(x,z),y). [assumption]. 43 L(T(x,y),z,u) = T(L(x,z,u),y). [copy(42),flip(a)]. 45 R(T(x,y),z,u) = T(R(x,z,u),y). [copy(44),flip(a)]. 47 R(L(x,y,z),u,w) = L(R(x,u,w),y,z). [copy(46),flip(a)]. 48 L(L(x,y,z),u,w) = L(L(x,u,w),y,z). [assumption]. 49 R(R(x,y,z),u,w) = R(R(x,u,w),y,z). [assumption]. 50 (x * (y * x)) * ((1 / x) * z) = x * (y * z) # label("gen left Bol"). [assumption]. 51 (x * (y \ 1)) * ((y * z) * y) = (x * z) * y # label("gen right Bol"). [assumption]. end_of_list. formulas(demodulators). end_of_list. % 9007 hints (11761 processed, 2754 redundant). ============================== end of clauses for search ============= ============================== SEARCH ================================ % Starting search at 0.19 seconds. given #1 (I,wt=5): 14 1 * x = x. [assumption]. given #2 (I,wt=5): 15 x * 1 = x. [assumption]. given #3 (I,wt=7): 16 x \ (x * y) = y. [assumption]. given #4 (I,wt=7): 17 x * (x \ y) = y. [assumption]. given #5 (I,wt=7): 18 (x * y) / y = x. [assumption]. given #6 (I,wt=7): 19 (x / y) * y = x. [assumption]. given #7 (I,wt=13): 20 x * y != z | x * u != z | u = y. [clausify(1)]. given #8 (I,wt=13): 21 x * y != z | u * y != z | u = x. [clausify(2)]. given #9 (I,wt=10): 22 x * y != x * z | y = z. [clausify(3)]. given #10 (I,wt=10): 23 x * y != z * y | x = z. [clausify(4)]. given #11 (I,wt=10): 24 x != y | z * x = z * y. [assumption]. given #12 (I,wt=10): 25 x != y | x * z = y * z. [assumption]. given #13 (I,wt=16): 27 a(x,y,z) = (x * (y * z)) \ ((x * y) * z). [copy(26),flip(a)]. given #14 (I,wt=11): 29 K(x,y) = (y * x) \ (x * y). [copy(28),flip(a)]. given #15 (I,wt=14): 31 L(x,y,z) = (z * y) \ (z * (y * x)). [copy(30),flip(a)]. given #16 (I,wt=14): 33 R(x,y,z) = ((x * y) * z) / (y * z). [copy(32),flip(a)]. given #17 (I,wt=9): 35 T(x,y) = y \ (x * y). [copy(34),flip(a)]. given #18 (I,wt=12): 36 a(x,y,z) != 1 | L(z,y,x) = z. [clausify(5)]. given #19 (I,wt=12): 37 L(x,y,z) != x | a(z,y,x) = 1. [clausify(6)]. given #20 (I,wt=10): 38 T(x,y) != x | T(y,x) = y. [clausify(7)]. given #21 (I,wt=10): 39 T(x,y) != x | K(x,y) = 1. [clausify(8)]. given #22 (I,wt=10): 40 K(x,y) != 1 | T(x,y) = x. [clausify(9)]. given #23 (I,wt=11): 41 T(T(x,y),z) = T(T(x,z),y). [assumption]. given #24 (I,wt=13): 43 L(T(x,y),z,u) = T(L(x,z,u),y). [copy(42),flip(a)]. given #25 (I,wt=13): 45 R(T(x,y),z,u) = T(R(x,z,u),y). [copy(44),flip(a)]. given #26 (I,wt=15): 47 R(L(x,y,z),u,w) = L(R(x,u,w),y,z). [copy(46),flip(a)]. given #27 (I,wt=15): 48 L(L(x,y,z),u,w) = L(L(x,u,w),y,z). [assumption]. given #28 (I,wt=15): 49 R(R(x,y,z),u,w) = R(R(x,u,w),y,z). [assumption]. given #29 (I,wt=17): 50 (x * (y * x)) * ((1 / x) * z) = x * (y * z) # label("gen left Bol"). [assumption]. given #30 (I,wt=17): 51 (x * (y \ 1)) * ((y * z) * y) = (x * z) * y # label("gen right Bol"). [assumption]. given #31 (H,wt=5): 58 1 \ x = x. [para(14(a,1),16(a,1,2))]. given #32 (H,wt=5): 59 x \ x = 1. [para(15(a,1),16(a,1,2))]. given #33 (H,wt=5): 64 x / x = 1. [para(14(a,1),18(a,1,1))]. given #34 (H,wt=5): 112 T(x,x) = x. [para(35(a,2),16(a,1))]. given #35 (H,wt=5): 123 K(x,x) = 1. [para(59(a,1),29(a,2))]. given #36 (H,wt=7): 67 x / (y \ x) = y. [para(17(a,1),18(a,1,1))]. given #37 (H,wt=7): 69 (x / y) \ x = y. [para(19(a,1),16(a,1,2))]. given #38 (H,wt=8): 77 1 * x != y | y = x. [para(14(a,1),22(a,1)),flip(a)]. given #39 (H,wt=8): 85 x * 1 != y | y = x. [para(15(a,1),23(a,1)),flip(a)]. given #40 (H,wt=8): 86 x * 1 != y | x = y. [para(15(a,1),23(a,2))]. given #41 (H,wt=9): 61 (x * (x \ 1)) * y = y. [para(17(a,2),14(a,1,1))]. given #42 (H,wt=9): 62 x * (y * (y \ 1)) = x. [para(17(a,2),15(a,1,2))]. given #43 (H,wt=9): 68 ((1 / x) * x) * y = y. [para(19(a,2),14(a,1,1))]. given #44 (H,wt=9): 113 x * T(y,x) = y * x. [para(35(a,2),17(a,1,2))]. given #45 (H,wt=9): 115 T(x / y,y) = y \ x. [para(19(a,1),35(a,2,2))]. given #46 (H,wt=9): 121 (x * (x \ 1)) \ y = y. [para(17(a,2),58(a,1,1))]. given #47 (H,wt=9): 122 ((1 / x) * x) \ y = y. [para(19(a,2),58(a,1,1))]. given #48 (H,wt=9): 124 T(T(x,y),x) = T(x,y). [para(112(a,1),41(a,1,1)),flip(a)]. given #49 (H,wt=7): 170 K(T(x,y),x) = 1. [hyper(39,a,124,a)]. given #50 (H,wt=7): 171 T(x,T(x,y)) = x. [hyper(38,a,124,a)]. given #51 (H,wt=9): 129 (x * y) / T(x,y) = y. [para(35(a,2),67(a,1,2))]. given #52 (H,wt=9): 142 T((x * y) / x,x) = y. [hyper(20,a,19,a(flip),b,113,a)]. given #53 (H,wt=9): 143 (x * T(y,x)) / x = y. [hyper(21,a,19,a,b,113,a(flip)),flip(a)]. given #54 (H,wt=9): 144 x \ (y * T(x,y)) = y. [hyper(20,a,17,a,b,113,a(flip)),flip(a)]. given #55 (H,wt=9): 146 x * T(y / x,x) = y. [para(113(a,2),19(a,1))]. given #56 (H,wt=9): 177 K(x,(y * x) / y) = 1. [para(142(a,1),170(a,1,1))]. given #57 (H,wt=9): 180 T(x,(y * x) / y) = x. [hyper(40,a,177,a)]. given #58 (H,wt=10): 80 x * y != z | x \ z = y. [para(17(a,1),22(a,1)),flip(a)]. given #59 (H,wt=10): 82 (x / y) * z != x | z = y. [para(19(a,1),22(a,2))]. given #60 (H,wt=10): 87 x * (y \ z) != z | x = y. [para(17(a,1),23(a,2))]. given #61 (H,wt=10): 88 x * y != z | z / y = x. [para(19(a,1),23(a,1)),flip(a)]. given #62 (H,wt=10): 138 x * (y \ y) != z | x = z. [para(59(a,2),86(a,1,2))]. given #63 (H,wt=8): 181 x \ x != y | 1 = y. [para(14(a,1),138(a,1))]. given #64 (H,wt=11): 60 x \ (x * (y \ (y * z))) = z. [para(16(a,2),16(a,1))]. given #65 (H,wt=11): 63 x * (y * (y \ (x \ z))) = z. [para(17(a,2),17(a,1,2))]. given #66 (H,wt=11): 66 x * (((x \ y) * z) / z) = y. [para(18(a,2),17(a,1,2))]. given #67 (H,wt=11): 70 (x \ (x * (y / z))) * z = y. [para(16(a,2),19(a,1,1))]. given #68 (H,wt=11): 71 ((x * (x \ y)) / z) * z = y. [para(19(a,2),17(a,1))]. given #69 (H,wt=11): 72 (((x * y) / z) * z) / y = x. [para(19(a,2),18(a,1,1))]. given #70 (H,wt=11): 73 (((x / y) / z) * z) * y = x. [para(19(a,2),19(a,1,1))]. given #71 (H,wt=11): 74 x != y | 1 * z != y | z = x. [para(14(a,1),20(a,1))]. given #72 (H,wt=5): 188 T(x,1) = x. [hyper(74,a,15,a(flip),b,113,a)]. given #73 (H,wt=5): 190 K(x,1) = 1. [hyper(39,a,188,a)]. given #74 (H,wt=5): 191 T(1,x) = 1. [hyper(38,a,188,a)]. given #75 (H,wt=9): 189 x != y | z != y | z = x. [para(14(a,1),74(b,1))]. given #76 (H,wt=9): 196 (x / y) * y = x * 1. [hyper(189,a,19,a,b,15,a),flip(a)]. given #77 (H,wt=9): 198 x * (x \ y) = y * 1. [hyper(189,a,17,a,b,15,a),flip(a)]. given #78 (H,wt=9): 201 x \ (y * (y \ x)) = 1. [hyper(80,a,198,a(flip))]. given #79 (H,wt=10): 200 (x / y) * y != z | z = x. [para(196(a,2),85(a,1))]. given #80 (H,wt=10): 203 x * (x \ y) != z | z = y. [para(198(a,2),85(a,1))]. given #81 (H,wt=11): 89 x * (y * (y \ z)) = x * z. [hyper(24,a,17,a)]. given #82 (H,wt=11): 90 ((x / y) * y) * z = x * z. [hyper(25,a,19,a)]. given #83 (H,wt=11): 91 (x * (x \ y)) * z = y * z. [hyper(25,a,17,a)]. given #84 (H,wt=11): 95 (x * y) * K(y,x) = y * x. [para(29(a,2),17(a,1,2))]. given #85 (H,wt=11): 114 T(x,x \ y) = (x \ y) \ y. [para(17(a,1),35(a,2,2))]. given #86 (H,wt=11): 125 T(L(x,y,z),x) = L(x,y,z). [para(112(a,1),43(a,1,1)),flip(a)]. given #87 (H,wt=11): 126 (x / (y \ x)) * z = y * z. [hyper(25,a,67,a)]. given #88 (H,wt=11): 127 (x * y) / K(x,y) = y * x. [para(29(a,2),67(a,1,2))]. given #89 (H,wt=11): 130 x / (y / ((z \ x) \ y)) = z. [para(67(a,2),67(a,1,2))]. given #90 (H,wt=11): 131 ((x / y) \ x) * z = y * z. [hyper(25,a,69,a)]. given #91 (H,wt=11): 132 x * ((y / (x \ z)) \ y) = z. [para(69(a,2),17(a,1,2))]. given #92 (H,wt=11): 134 ((x / (y / z)) \ x) \ y = z. [para(69(a,2),69(a,1,1))]. given #93 (H,wt=11): 145 (x \ y) * T(x,x \ y) = y. [para(113(a,2),17(a,1))]. given #94 (H,wt=11): 164 T(x / (x / y),x / y) = y. [para(115(a,2),69(a,1))]. given #95 (H,wt=11): 165 K(x \ 1,x) = (x \ 1) * x. [para(121(a,1),29(a,2))]. given #96 (H,wt=11): 168 K(x,1 / x) = x * (1 / x). [para(122(a,1),29(a,2))]. given #97 (H,wt=11): 173 T(x,y) * x = x * T(x,y). [para(124(a,1),113(a,1,2)),flip(a)]. given #98 (H,wt=11): 174 x / T(y,y \ x) = y \ x. [para(17(a,1),129(a,1,1))]. given #99 (H,wt=11): 184 ((x * (x \ y)) / z) \ y = z. [hyper(80,a,71,a)]. given #100 (H,wt=11): 185 ((x / y) * y) / z = x / z. [para(19(a,1),72(a,1,1,1,1))]. given #101 (H,wt=11): 193 (x / y) \ x = z * (z \ y). [hyper(189,a,69,a,b,17,a),flip(a)]. given #102 (H,wt=10): 236 (x / y) \ x != z | z = y. [para(193(a,2),203(a,1))]. given #103 (H,wt=10): 237 x \ (x * y) != z | z = y. [para(18(a,1),236(a,1,1))]. given #104 (H,wt=11): 194 x / (y \ x) = z * (z \ y). [hyper(189,a,67,a,b,17,a),flip(a)]. given #105 (H,wt=10): 246 x / (y \ x) != z | z = y. [para(194(a,2),203(a,1))]. given #106 (H,wt=8): 249 x / x != y | 1 = y. [para(58(a,1),246(a,1,2)),flip(b)]. given #107 (H,wt=10): 248 (x * y) / y != z | z = x. [para(16(a,1),246(a,1,2))]. given #108 (H,wt=11): 195 (x * y) / y = (x / z) * z. [hyper(189,a,19,a,b,18,a)]. given #109 (H,wt=11): 197 x \ (x * y) = z * (z \ y). [hyper(189,a,17,a,b,16,a)]. given #110 (H,wt=11): 210 (x / (y * (y \ z))) * z = x. [hyper(200,a,89,a)]. given #111 (H,wt=11): 223 x * (((y / x) \ y) \ z) = z. [hyper(203,a,131,a)]. given #112 (H,wt=11): 224 ((x / y) \ x) * (y \ z) = z. [hyper(189,a,17,a(flip),b,131,a)]. given #113 (H,wt=11): 226 (x / y) * ((z / y) \ z) = x. [para(69(a,1),132(a,1,2,1,2))]. given #114 (H,wt=11): 234 x / (y \ ((x / z) * z)) = y. [hyper(189,a,67,a(flip),b,185,a(flip))]. given #115 (H,wt=11): 245 (x * (x \ y)) \ z = y \ z. [para(194(a,1),69(a,1,1))]. given #116 (H,wt=12): 78 (x * y) * 1 != x * z | z = y. [para(15(a,2),22(a,2)),flip(a)]. given #117 (H,wt=10): 259 1 * x != y * 1 | x = y. [para(14(a,1),78(a,1,1)),flip(a)]. given #118 (H,wt=10): 260 x * y != x * z | z = y. [para(15(a,1),78(a,1))]. given #119 (H,wt=12): 84 1 * (x * y) != z * y | z = x. [para(14(a,2),23(a,2)),flip(a)]. given #120 (H,wt=12): 100 (x * 1) \ (x * y) = L(y,1,x). [para(14(a,1),31(a,2,2,2)),flip(a)]. given #121 (H,wt=10): 261 x \ (x * y) = L(y,1,x). [para(15(a,1),100(a,1,1))]. given #122 (H,wt=6): 262 L(x,1,y) = x. [hyper(237,a,261,a)]. given #123 (H,wt=9): 263 L(x,1,y) != z | z = x. [para(261(a,1),237(a,1))]. given #124 (H,wt=12): 101 (x * y) \ (x * y) = L(1,y,x). [para(15(a,1),31(a,2,2,2)),flip(a)]. given #125 (H,wt=6): 265 L(1,x,y) = 1. [hyper(181,a,101,a),flip(a)]. given #126 (H,wt=9): 266 L(1,x,y) != z | 1 = z. [para(101(a,1),181(a,1))]. given #127 (H,wt=12): 106 (x * y) / (x * y) = R(1,x,y). [para(14(a,1),33(a,2,1,1)),flip(a)]. given #128 (H,wt=6): 268 R(1,x,y) = 1. [hyper(249,a,106,a),flip(a)]. given #129 (H,wt=9): 269 R(1,x,y) != z | 1 = z. [para(106(a,1),249(a,1))]. given #130 (H,wt=12): 107 ((x * 1) * y) / y = R(x,1,y). [para(14(a,1),33(a,2,2)),flip(a)]. given #131 (H,wt=10): 271 (x * y) / y = R(x,1,y). [para(15(a,1),107(a,1,1,1))]. given #132 (H,wt=6): 272 R(x,1,y) = x. [hyper(248,a,271,a)]. given #133 (H,wt=9): 273 R(x,1,y) != z | z = x. [para(271(a,1),248(a,1))]. given #134 (H,wt=12): 135 (x * (x \ 1)) * y != z | z = y. [para(17(a,2),77(a,1,1))]. given #135 (H,wt=12): 136 ((1 / x) * x) * y != z | z = y. [para(19(a,2),77(a,1,1))]. given #136 (H,wt=12): 137 x * (y * (y \ 1)) != z | x = z. [para(17(a,2),86(a,1,2))]. given #137 (H,wt=12): 140 L(x \ 1,x,y) = (y * x) \ y. [para(62(a,1),31(a,2,2))]. given #138 (H,wt=12): 141 R(1 / x,x,y) = y / (x * y). [para(68(a,1),33(a,2,1))]. given #139 (H,wt=12): 148 x * y != z * x | T(z,x) = y. [para(113(a,1),22(a,1)),flip(a)]. given #140 (H,wt=12): 149 x * T(y,x) != z * x | z = y. [para(113(a,2),23(a,2)),flip(a)]. given #141 (H,wt=12): 199 x * 1 != y * z | x / z = y. [para(196(a,1),23(a,1))]. given #142 (H,wt=12): 202 x * 1 != y * z | y \ x = z. [para(198(a,1),22(a,1))]. given #143 (H,wt=12): 205 x * T(y,x) != z | y * x = z. [para(129(a,1),200(a,1,1)),flip(b)]. given #144 (H,wt=12): 206 x * y != z | y * T(x,y) = z. [para(143(a,1),200(a,1,1)),flip(b)]. given #145 (H,wt=12): 208 (x * (x \ 1)) \ y != z | z = y. [para(61(a,1),203(a,1))]. given #146 (H,wt=12): 209 ((1 / x) * x) \ y != z | z = y. [para(68(a,1),203(a,1))]. given #147 (H,wt=12): 238 x \ (y * x) != z | T(y,x) = z. [para(129(a,1),236(a,1,1)),flip(b)]. given #148 (H,wt=12): 239 x \ (y * T(x,y)) != z | z = y. [para(143(a,1),236(a,1,1))]. given #149 (H,wt=12): 242 T((x * y) / x,x) != z | z = y. [para(115(a,2),237(a,1))]. given #150 (H,wt=12): 243 x \ (y * (y \ x)) != z | 1 = z. [para(198(a,2),237(a,1,2)),flip(b)]. given #151 (H,wt=12): 250 (x * T(y,x)) / x != z | z = y. [para(144(a,1),246(a,1,2))]. given #152 (H,wt=12): 277 L(x \ 1,x,1 / x) = 1 / x. [hyper(189,a,122,a(flip),b,140,a)]. given #153 (H,wt=12): 278 (x * y) * L(y \ 1,y,x) = x. [para(140(a,2),17(a,1,2))]. given #154 (H,wt=12): 283 x / L(y \ 1,y,x) = x * y. [para(140(a,2),67(a,1,2))]. given #155 (H,wt=12): 290 R(1 / x,x,y) \ y = x * y. [para(141(a,2),69(a,1,1))]. given #156 (H,wt=12): 307 T(x / y,y) != z | y \ x = z. [para(17(a,1),242(a,1,1,1)),flip(b)]. given #157 (H,wt=13): 75 x != y | z * u != y | z \ x = u. [para(17(a,1),20(a,1)),flip(c)]. given #158 (H,wt=13): 76 x != y | z * u != y | x / u = z. [para(19(a,1),21(a,1)),flip(c)]. given #159 (H,wt=13): 96 x \ ((y \ x) * y) = K(y \ x,y). [para(17(a,1),29(a,2,1)),flip(a)]. given #160 (H,wt=13): 97 ((x \ y) * x) \ y = K(x,x \ y). [para(17(a,1),29(a,2,2)),flip(a)]. given #161 (H,wt=13): 98 x \ (y * (x / y)) = K(y,x / y). [para(19(a,1),29(a,2,1)),flip(a)]. given #162 (H,wt=13): 99 (x * (y / x)) \ y = K(y / x,x). [para(19(a,1),29(a,2,2)),flip(a)]. given #163 (H,wt=13): 157 T(x,y) \ (x * y) = T(y,T(x,y)). [para(113(a,1),35(a,2,2)),flip(a)]. given #164 (H,wt=13): 158 x * T(T(y,x),z) = T(y,z) * x. [para(41(a,1),113(a,1,2))]. given #165 (H,wt=13): 161 T(T(x / y,z),y) = T(y \ x,z). [para(115(a,1),41(a,1,1)),flip(a)]. given #166 (H,wt=13): 172 T(T(T(x,y),z),x) = T(T(x,y),z). [para(124(a,1),41(a,1,1)),flip(a)]. given #167 (H,wt=9): 329 T(x,T(T(x,y),z)) = x. [hyper(38,a,172,a)]. given #168 (H,wt=13): 176 T(T((x * y) / x,z),x) = T(y,z). [para(142(a,1),41(a,1,1)),flip(a)]. given #169 (H,wt=13): 178 (x * T(T(y,x),z)) / x = T(y,z). [para(41(a,1),143(a,1,1,2))]. given #170 (H,wt=13): 213 x * K(y \ x,y) = (y \ x) * y. [hyper(189,a,91,a(flip),b,95,a(flip)),flip(a)]. given #171 (H,wt=13): 214 x * K(y,x / y) = y * (x / y). [hyper(189,a,90,a(flip),b,95,a(flip)),flip(a)]. given #172 (H,wt=13): 222 x / K(y,y \ x) = (y \ x) * y. [para(17(a,1),127(a,1,1))]. given #173 (H,wt=13): 229 x * T(x \ 1,x) = K(x \ 1,x). [hyper(189,a,113,a,b,165,a),flip(a)]. given #174 (H,wt=13): 321 K(x \ 1,x) \ 1 = K(x,x \ 1). [para(165(a,2),97(a,1,1))]. given #175 (H,wt=13): 339 1 / K(x,x \ 1) = K(x \ 1,x). [hyper(189,a,165,a,b,222,a)]. given #176 (H,wt=14): 79 x \ (x * (y * z)) != y * u | u = z. [para(16(a,2),22(a,2)),flip(a)]. given #177 (H,wt=14): 81 x * (x \ (y * z)) != y * u | u = z. [para(17(a,2),22(a,2)),flip(a)]. given #178 (H,wt=14): 83 ((x * y) / z) * z != x * u | u = y. [para(19(a,2),22(a,2)),flip(a)]. given #179 (H,wt=14): 102 (x * y) * L(z,y,x) = x * (y * z). [para(31(a,2),17(a,1,2))]. given #180 (H,wt=14): 104 L(x \ y,x,z) = (z * x) \ (z * y). [para(17(a,1),31(a,2,2,2))]. given #181 (H,wt=12): 360 L(x \ T(y * x,y),x,y) = y. [hyper(189,a,144,a(flip),b,104,a)]. given #182 (H,wt=14): 110 R(x,y,z) * (y * z) = (x * y) * z. [para(33(a,2),19(a,1,1))]. given #183 (H,wt=14): 111 R(x / y,y,z) = (x * z) / (y * z). [para(19(a,1),33(a,2,1,1))]. given #184 (H,wt=14): 128 (x * (y * z)) / L(z,y,x) = x * y. [para(31(a,2),67(a,1,2))]. given #185 (H,wt=14): 133 R(x,y,z) \ ((x * y) * z) = y * z. [para(33(a,2),69(a,1,1))]. given #186 (H,wt=14): 139 R(x,x \ 1,y) = y / ((x \ 1) * y). [para(61(a,1),33(a,2,1))]. given #187 (H,wt=14): 166 x * ((x \ 1) * y) = L(y,x \ 1,x). [para(121(a,1),31(a,2)),flip(a)]. given #188 (H,wt=14): 169 (1 / x) * (x * y) = L(y,x,1 / x). [para(122(a,1),31(a,2)),flip(a)]. given #189 (H,wt=14): 183 L(x \ (y \ z),x,y) = (y * x) \ z. [para(63(a,1),31(a,2,2))]. given #190 (H,wt=14): 187 R((x / y) / z,z,y) = x / (z * y). [para(73(a,1),33(a,2,1))]. given #191 (H,wt=14): 212 (x * (x \ y)) * z != y * u | z = u. [para(91(a,1),22(a,2))]. given #192 (H,wt=14): 215 (x * y) * z != y * x | K(y,x) = z. [para(95(a,1),22(a,1)),flip(a)]. given #193 (H,wt=14): 216 (x * y) * K(y,x) != y * z | z = x. [para(95(a,2),22(a,2)),flip(a)]. given #194 (H,wt=14): 225 ((x / y) \ x) * z != u | y \ u = z. [para(131(a,2),80(a,1))]. given #195 (H,wt=14): 227 (x \ y) * z != y | T(x,x \ y) = z. [para(145(a,1),22(a,1)),flip(a)]. given #196 (H,wt=14): 230 K(x \ 1,x) != y * x | x \ 1 = y. [para(165(a,2),23(a,1))]. given #197 (H,wt=14): 232 T(x,y) * x != x * z | T(x,y) = z. [para(173(a,2),22(a,1))]. given #198 (H,wt=14): 235 (x / y) \ x != z * u | z \ y = u. [para(193(a,2),22(a,1))]. given #199 (H,wt=14): 240 (x * y) \ (y * x) != z | K(y,x) = z. [para(127(a,1),236(a,1,1)),flip(b)]. given #200 (H,wt=14): 241 (x \ y) \ y != z | T(x,x \ y) = z. [para(174(a,1),236(a,1,1)),flip(b)]. given #201 (H,wt=14): 244 x / (y \ x) != z * u | z \ y = u. [para(194(a,2),22(a,1))]. given #202 (H,wt=14): 247 (x * (x \ y)) \ z != u | y \ z = u. [para(194(a,1),236(a,1,1)),flip(b)]. given #203 (H,wt=14): 251 (x * y) / y != z * u | x / u = z. [para(195(a,2),23(a,1))]. given #204 (H,wt=14): 252 ((x / y) * y) * z != u | x * z = u. [para(195(a,1),200(a,1,1)),flip(b)]. given #205 (H,wt=14): 253 x \ (x * y) != z * u | z \ y = u. [para(197(a,2),22(a,1))]. given #206 (H,wt=12): 412 1 * x != y * z | y \ x = z. [para(58(a,1),253(a,1))]. given #207 (H,wt=14): 254 x * (y * (y \ z)) != u | x * z = u. [para(197(a,1),203(a,1,2)),flip(b)]. given #208 (H,wt=14): 257 x * ((y / z) \ y) != u | u / z = x. [para(226(a,1),23(a,1)),flip(a)]. given #209 (H,wt=14): 275 (x \ 1) * x != y | K(x \ 1,x) = y. [para(95(a,1),135(a,1)),flip(b)]. given #210 (H,wt=14): 276 L((x \ y) \ 1,x \ y,x) = y \ x. [hyper(189,a,245,a(flip),b,140,a)]. given #211 (H,wt=14): 279 L(x \ 1,x,y / x) = y \ (y / x). [para(19(a,1),140(a,2,1))]. given #212 (H,wt=14): 284 L(x,1 / x,y) = (y * (1 / x)) \ y. [para(69(a,1),140(a,1,1))]. given #213 (H,wt=14): 286 R(1 / x,x,x \ y) = (x \ y) / y. [para(17(a,1),141(a,2,2))]. given #214 (H,wt=14): 287 R(1 / (x / y),x / y,y) = y / x. [para(19(a,1),141(a,2,2))]. given #215 (H,wt=14): 297 (x / y) * y != z * u | x / u = z. [para(196(a,2),199(a,1))]. given #216 (H,wt=14): 298 x * (x \ y) != z * u | y / u = z. [para(198(a,2),199(a,1))]. given #217 (H,wt=14): 300 (x / y) * y != z * u | z \ x = u. [para(196(a,2),202(a,1))]. given #218 (H,wt=14): 301 x * (x \ y) != z * u | z \ y = u. [para(198(a,2),202(a,1))]. given #219 (H,wt=14): 305 K(x,1 / x) != y | x * (1 / x) = y. [para(29(a,2),209(a,1)),flip(b)]. given #220 (H,wt=14): 311 x / L(y,1 / y,x) = x * (1 / y). [para(69(a,1),283(a,1,2,1))]. given #221 (H,wt=14): 313 R(x,x \ 1,y) \ y = (x \ 1) * y. [para(67(a,1),290(a,1,1,1))]. given #222 (H,wt=14): 315 T(x,x \ y) != z | (x \ y) \ y = z. [para(67(a,1),307(a,1,1))]. given #223 (H,wt=14): 319 L(x \ 1,x,y) / ((y * x) \ y) = 1. [hyper(76,a,140,a,b,14,a)]. given #224 (H,wt=14): 333 T(T(x,y),z) != u | T(T(x,z),y) = u. [para(178(a,1),242(a,1,1)),flip(b)]. given #225 (H,wt=14): 341 (x * y) / L(z \ y,z,x) = x * z. [hyper(76,a,89,a(flip),b,102,a)]. given #226 (H,wt=14): 342 x \ ((x * y) * L(z,y,x)) = y * z. [hyper(75,a,102,a,b,xx)]. given #227 (H,wt=14): 343 L(x \ (y \ ((y * x) * z)),x,y) = z. [hyper(20,a,63,a(flip),b,102,a)]. given #228 (H,wt=14): 361 L(x \ y,x,1 / x) = (1 / x) * y. [hyper(189,a,122,a(flip),b,104,a)]. given #229 (H,wt=14): 362 L((x \ 1) \ y,x \ 1,x) = x * y. [hyper(189,a,121,a(flip),b,104,a)]. given #230 (H,wt=14): 369 (x * y) * (y \ 1) = R(x,y,y \ 1). [hyper(137,a,110,a),flip(a)]. given #231 (H,wt=12): 446 R(1 / x,x,x \ 1) = x \ 1. [hyper(136,a,369,a)]. given #232 (H,wt=14): 371 R(x / y,y,z) \ (x * z) = y * z. [hyper(75,a,90,a(flip),b,110,a)]. given #233 (H,wt=14): 372 R(((x * (y * z)) / z) / y,y,z) = x. [hyper(21,a,73,a(flip),b,110,a)]. given #234 (H,wt=14): 373 R(x,y,y \ 1) / (y \ 1) = x * y. [hyper(76,a,62,a(flip),b,110,a(flip))]. given #235 (H,wt=14): 374 (x * y) \ R(x,y,y \ 1) = y \ 1. [hyper(75,a,62,a(flip),b,110,a(flip))]. given #236 (H,wt=14): 401 x / K(x \ 1,x) = R(x,x \ 1,x). [para(165(a,2),139(a,2,2)),flip(a)]. given #237 (H,wt=14): 406 (x * y) / y != z * u | z \ x = u. [para(16(a,1),244(a,1,2))]. given #238 (H,wt=14): 409 x / (y \ x) != z * u | y / u = z. [para(17(a,1),251(a,1,1))]. given #239 (H,wt=14): 411 (x * (x \ y)) * z != u | y * z = u. [para(67(a,1),252(a,1,1,1))]. given #240 (H,wt=14): 416 K(x,1 / x) \ x = L(x,1 / x,x). [para(168(a,2),284(a,2,1)),flip(a)]. given #241 (H,wt=14): 425 x \ (x * y) != z * u | y / u = z. [para(197(a,2),298(a,1))]. given #242 (H,wt=14): 426 x * y != z * u | z \ (x * y) = u. [para(18(a,1),300(a,1,1))]. given #243 (H,wt=14): 445 R(x / y,y,y \ 1) = x * (y \ 1). [hyper(252,a,369,a),flip(a)]. given #244 (H,wt=14): 455 ((x / y) \ x) * z != u | y * z = u. [para(193(a,2),411(a,1,1))]. given #245 (H,wt=14): 456 (x / (y \ x)) * z != u | y * z = u. [para(194(a,2),411(a,1,1))]. given #246 (H,wt=14): 457 K(x,1 / x) * L(x,1 / x,x) = x. [para(416(a,1),17(a,1,2))]. given #247 (H,wt=15): 117 (x * (y * x)) * (1 / x) = x * (y * 1). [para(15(a,1),50(a,1,2))]. given #248 (H,wt=13): 467 (x * (y * x)) * (1 / x) = x * y. [para(15(a,1),117(a,2,2))]. given #249 (H,wt=13): 468 x * ((x \ y) * x) = y / (1 / x). [hyper(76,a,17,a(flip),b,467,a),flip(a)]. given #250 (H,wt=12): 472 L(x,x \ 1,x) = 1 / (1 / x). [hyper(189,a,166,a(flip),b,468,a(flip)),flip(a)]. given #251 (H,wt=13): 469 (x * y) * (1 / x) = x * (y / x). [para(19(a,1),467(a,1,1,2))]. given #252 (H,wt=13): 470 x \ (y / (1 / x)) = (x \ y) * x. [hyper(80,a,468,a)]. given #253 (H,wt=13): 471 (x \ (y * (1 / x))) * x = x \ y. [hyper(75,a,18,a(flip),b,468,a),flip(a)]. given #254 (H,wt=13): 474 x * K(x \ 1,x) = 1 / (1 / x). [para(165(a,2),468(a,1,2))]. given #255 (H,wt=13): 477 x \ (1 / (1 / x)) = K(x \ 1,x). [hyper(189,a,165,a,b,470,a)]. given #256 (H,wt=15): 119 (x \ 1) * ((x * y) * x) = (1 * y) * x. [para(14(a,1),51(a,1,1))]. given #257 (H,wt=13): 482 (x \ 1) * ((x * y) * x) = y * x. [para(14(a,1),119(a,2,1))]. given #258 (H,wt=11): 484 (x \ 1) * ((x * 1) * x) = x. [hyper(189,a,14,a(flip),b,482,a)]. given #259 (H,wt=9): 488 (x \ 1) * (x * x) = x. [para(15(a,1),484(a,1,2,1))]. given #260 (H,wt=9): 489 (x \ 1) \ x = x * x. [hyper(80,a,488,a)]. given #261 (H,wt=12): 490 (x \ 1) \ x != x * y | y = x. [para(488(a,1),79(a,1,2))]. given #262 (H,wt=13): 485 (x * (y / x)) * x = (x \ 1) \ y. [hyper(75,a,19,a(flip),b,482,a),flip(a)]. given #263 (H,wt=13): 486 (x \ 1) * (y * x) = (x \ y) * x. [para(17(a,1),482(a,1,2,1))]. given #264 (H,wt=13): 492 K(x,1 / x) * x = (x \ 1) \ 1. [para(168(a,2),485(a,1,1))]. given #265 (H,wt=13): 494 ((x \ 1) \ 1) / x = K(x,1 / x). [hyper(88,a,492,a)]. given #266 (H,wt=15): 147 x * y != z | y * u != z | T(x,y) = u. [para(113(a,1),20(a,1)),flip(c)]. given #267 (H,wt=13): 497 T(x / y,(z / y) \ z) = y \ x. [hyper(147,a,226,a,b,224,a)]. given #268 (H,wt=15): 152 (x * y) \ (T(x,y) * y) = K(T(x,y),y). [para(113(a,1),29(a,2,1)),flip(a)]. given #269 (H,wt=15): 159 x * L(T(y,x),z,u) = L(y,z,u) * x. [para(43(a,2),113(a,1,2))]. given #270 (H,wt=15): 160 x * R(T(y,x),z,u) = R(y,z,u) * x. [para(45(a,2),113(a,1,2))]. given #271 (H,wt=15): 162 T(L(x / y,z,u),y) = L(y \ x,z,u). [para(115(a,1),43(a,1,1)),flip(a)]. given #272 (H,wt=15): 163 T(R(x / y,z,u),y) = R(y \ x,z,u). [para(115(a,1),45(a,1,1)),flip(a)]. given #273 (H,wt=14): 517 T(x / (y * x),y) = R(y \ 1,y,x). [para(141(a,1),163(a,1,1))]. given #274 (H,wt=14): 520 R(x \ 1,x,x \ 1) = T(x \ 1,x). [para(446(a,1),163(a,1,1)),flip(a)]. given #275 (H,wt=15): 175 (R(x,y,z) * u) / R(T(x,u),y,z) = u. [para(45(a,2),129(a,1,2))]. given #276 (H,wt=15): 179 L(x,y,z) \ (u * L(T(x,u),y,z)) = u. [para(43(a,2),144(a,1,2,2))]. given #277 (H,wt=15): 211 x * (x \ (y * z)) = y * (u * (u \ z)). [hyper(189,a,17,a,b,89,a),flip(a)]. given #278 (H,wt=15): 219 T(x,x \ y) * z = ((x \ y) \ y) * z. [hyper(25,a,114,a)]. given #279 (H,wt=15): 220 x * T(y,y \ z) = x * ((y \ z) \ z). [hyper(24,a,114,a)]. given #280 (H,wt=15): 221 T(T(x,y),x \ z) = T((x \ z) \ z,y). [para(114(a,1),41(a,1,1)),flip(a)]. given #281 (H,wt=15): 228 T(x / (x / y),(z / (x / y)) \ z) = y. [para(69(a,2),164(a,1,2))]. given #282 (H,wt=15): 256 ((x \ y) \ y) * (T(x,x \ y) \ z) = z. [para(174(a,1),224(a,1,1,1))]. given #283 (H,wt=15): 258 (x / T(y,y \ z)) * ((y \ z) \ z) = x. [para(174(a,1),226(a,1,2,1))]. given #284 (H,wt=15): 308 (x * y) * z != x | L(y \ 1,y,x) = z. [para(278(a,1),22(a,1)),flip(a)]. given #285 (H,wt=15): 310 (x * y) \ x != z | L(y \ 1,y,x) = z. [para(278(a,1),237(a,1,2)),flip(b)]. given #286 (H,wt=15): 314 x / (y * x) != z | R(1 / y,y,x) = z. [para(290(a,1),246(a,1,2)),flip(b)]. given #287 (H,wt=15): 318 x \ T(y,y \ z) = x \ ((y \ z) \ z). [hyper(75,a,114,a,b,17,a)]. given #288 (H,wt=15): 320 x \ (y * T(y \ x,y)) = K(y \ x,y). [para(113(a,2),96(a,1,2))]. given #289 (H,wt=15): 322 x * T(x \ (y * x),z) = T(y,z) * x. [para(35(a,1),158(a,1,2,1))]. given #290 (H,wt=15): 323 T(x / y,z) * y = y * T(y \ x,z). [para(115(a,1),158(a,1,2,1)),flip(a)]. given #291 (H,wt=15): 324 T(x,y) * T(x,z) = T(x,z) * T(x,y). [para(171(a,1),158(a,1,2,1))]. given #292 (H,wt=15): 325 T((x * y) / x,z) * x = x * T(y,z). [para(142(a,1),158(a,1,2,1)),flip(a)]. given #293 (H,wt=15): 328 (x * T(x \ y,z)) / x = T(y / x,z). [para(161(a,1),143(a,1,1,2))]. given #294 (H,wt=15): 330 (x * T(y,z)) / x = T((x * y) / x,z). [para(176(a,1),143(a,1,1,2))]. given #295 (H,wt=15): 493 x \ (y / (1 / x)) = (x \ 1) * (y * x). [hyper(189,a,470,a,b,486,a),flip(a)]. given #296 (H,wt=15): 523 T(x,x \ y) \ z = ((x \ y) \ y) \ z. [hyper(301,a,219,a),flip(a)]. given #297 (H,wt=15): 525 T(T(x,x \ y),z) = T((x \ y) \ y,z). [hyper(147,a,219,a,b,113,a)]. given #298 (H,wt=15): 526 T(x,x \ y) \ (((x \ y) \ y) * z) = z. [hyper(81,a,219,a)]. given #299 (H,wt=15): 530 (x / ((y \ z) \ z)) * T(y,y \ z) = x. [hyper(189,a,19,a(flip),b,220,a)]. given #300 (H,wt=15): 531 (x * T(y,y \ z)) / ((y \ z) \ z) = x. [hyper(76,a,220,a,b,xx)]. given #301 (H,wt=16): 92 (x * (y * z)) * a(x,y,z) = (x * y) * z. [para(27(a,2),17(a,1,2))]. given #302 (H,wt=16): 103 x \ (y * ((y \ x) * z)) = L(z,y \ x,y). [para(17(a,1),31(a,2,1)),flip(a)]. given #303 (H,wt=16): 105 L(x,y / x,z) = (z * (y / x)) \ (z * y). [para(19(a,1),31(a,2,2,2))]. given #304 (H,wt=16): 108 R(x,x \ y,z) = (y * z) / ((x \ y) * z). [para(17(a,1),33(a,2,1,1))]. given #305 (H,wt=16): 154 (x * y) \ (x * (z * y)) = L(T(z,y),y,x). [para(113(a,1),31(a,2,2,2)),flip(a)]. given #306 (H,wt=12): 554 L(T(x,y),y,x) = T(x,x * y). [hyper(238,a,154,a),flip(a)]. given #307 (H,wt=12): 557 T(L(x,y,x),y) = T(x,x * y). [hyper(189,a,43,a(flip),b,554,a(flip)),flip(a)]. given #308 (H,wt=14): 559 x * T(y,y * x) = L(y,x,y) * x. [para(554(a,1),159(a,1,2))]. given #309 (H,wt=14): 561 (x * T(y,y * x)) / x = L(y,x,y). [para(557(a,1),143(a,1,1,2))]. given #310 (H,wt=14): 563 T((x * y) / x,y * x) = L(y,x,y). [hyper(21,a,325,a,b,559,a(flip)),flip(a)]. given #311 (H,wt=16): 218 (x * y) / (x * K(x,y)) = R(y,x,K(x,y)). [para(95(a,1),33(a,2,1)),flip(a)]. given #312 (H,wt=16): 255 R(x,y,y \ z) * z = (x * y) * (y \ z). [para(33(a,2),210(a,1,1))]. given #313 (H,wt=16): 280 T((x * y) \ x,z) = L(T(y \ 1,z),y,x). [para(140(a,1),43(a,2,1)),flip(a)]. given #314 (H,wt=16): 285 R(1 / x,x,y) * z = (y / (x * y)) * z. [hyper(25,a,141,a)]. given #315 (H,wt=16): 288 T(x / (y * x),z) = R(T(1 / y,z),y,x). [para(141(a,1),45(a,2,1)),flip(a)]. given #316 (H,wt=16): 291 x \ (x * (y * z)) != z * u | T(y,z) = u. [para(16(a,2),148(a,2)),flip(a)]. given #317 (H,wt=16): 292 T(x,y) * z != x * y | T(y,T(x,y)) = z. [para(113(a,1),148(a,2))]. given #318 (H,wt=16): 293 x * (y * (y \ z)) != z * u | T(x,z) = u. [para(89(a,2),148(a,2)),flip(a)]. given #319 (H,wt=16): 294 (x * y) * K(y,x) != x * z | T(y,x) = z. [para(95(a,2),148(a,2)),flip(a)]. given #320 (H,wt=16): 296 x * (y * (y \ 1)) != z * u | x / u = z. [para(17(a,2),199(a,1,2))]. given #321 (H,wt=16): 299 x * (y * (y \ 1)) != z * u | z \ x = u. [para(17(a,2),202(a,1,2))]. given #322 (H,wt=16): 302 x * T(T(y,x),z) != u | T(y,z) * x = u. [para(41(a,1),205(a,1,2))]. given #323 (H,wt=16): 312 L(x \ 1,x,y) * (((y * x) \ y) \ z) = z. [para(283(a,1),223(a,1,2,1,1))]. given #324 (H,wt=16): 316 T(x,T(y,x)) != z | T(y,x) \ (y * x) = z. [para(129(a,1),307(a,1,1))]. given #325 (H,wt=16): 334 (x \ y) * x != y * z | K(x \ y,x) = z. [para(213(a,1),22(a,1))]. given #326 (H,wt=16): 336 x \ ((y \ x) * y) != z | K(y \ x,y) = z. [para(213(a,1),237(a,1,2)),flip(b)]. given #327 (H,wt=16): 337 x * (y / x) != y * z | K(x,y / x) = z. [para(214(a,1),22(a,1))]. given #328 (H,wt=16): 338 x \ (y * (x / y)) != z | K(y,x / y) = z. [para(214(a,1),237(a,1,2)),flip(b)]. given #329 (H,wt=16): 344 x * L(y,z \ x,z) = z * ((z \ x) * y). [hyper(189,a,91,a(flip),b,102,a(flip)),flip(a)]. given #330 (H,wt=16): 345 x * L(y,z,x / z) = (x / z) * (z * y). [hyper(189,a,90,a(flip),b,102,a(flip)),flip(a)]. given #331 (H,wt=14): 579 L(x \ y,x,y / x) = T(y / x,y). [hyper(147,a,89,a(flip),b,345,a),flip(a)]. given #332 (H,wt=16): 359 L((x \ y) \ z,x \ y,x) = y \ (x * z). [hyper(189,a,245,a(flip),b,104,a)]. given #333 (H,wt=16): 364 L(x \ y,x,z / x) = z \ ((z / x) * y). [para(19(a,1),104(a,2,1))]. given #334 (H,wt=16): 366 L(x \ T(y,z),x,z) = (z * x) \ (y * z). [para(113(a,1),104(a,2,2))]. given #335 (H,wt=12): 584 K(x,y) = L(x \ T(x,y),x,y). [hyper(189,a,29,a,b,366,a),flip(a)]. given #336 (H,wt=15): 586 L(x \ T(x,y),x,y) != z | K(x,y) = z. [para(366(a,2),240(a,1))]. given #337 (H,wt=16): 370 R(x,x \ y,z) \ (y * z) = (x \ y) * z. [hyper(75,a,91,a(flip),b,110,a)]. given #338 (H,wt=16): 375 R(x,y / z,z) * y = (x * (y / z)) * z. [para(19(a,1),110(a,1,2))]. given #339 (H,wt=14): 589 (x * (1 / y)) * y = R(x,1 / y,y). [hyper(86,a,375,a),flip(a)]. given #340 (H,wt=14): 593 R(x / (1 / y),1 / y,y) = x * y. [hyper(252,a,589,a),flip(a)]. given #341 (H,wt=16): 390 R(x / y,y,x \ z) = z / (y * (x \ z)). [para(17(a,1),111(a,2,1))]. given #342 (H,wt=16): 391 R(x / (y / z),y / z,z) = (x * z) / y. [para(19(a,1),111(a,2,2))]. given #343 (H,wt=16): 395 R(x / y,y,x \ z) \ z = y * (x \ z). [para(111(a,2),184(a,1,1))]. given #344 (H,wt=16): 398 (x * y) / L(z,y / z,x) = x * (y / z). [para(19(a,1),128(a,1,1,2))]. given #345 (H,wt=16): 408 (x * T(y,x)) / x != z * u | z \ y = u. [para(144(a,1),244(a,1,2))]. given #346 (H,wt=16): 413 x \ (y * (y \ x)) != z * u | z \ 1 = u. [para(198(a,2),253(a,1,2))]. given #347 (H,wt=16): 422 (x * (x \ 1)) * y != z * u | y / u = z. [para(121(a,1),298(a,1,2))]. given #348 (H,wt=16): 423 ((1 / x) * x) * y != z * u | y / u = z. [para(122(a,1),298(a,1,2))]. given #349 (H,wt=16): 428 x * T(y,x) != z * u | z \ (y * x) = u. [para(129(a,1),300(a,1,1))]. given #350 (H,wt=16): 458 T((x * y) / x,x) != z * u | y / u = z. [para(115(a,2),425(a,1))]. given #351 (H,wt=16): 479 x * ((x \ y) * x) != z | y / (1 / x) = z. [para(470(a,1),203(a,1,2)),flip(b)]. given #352 (H,wt=16): 480 1 / (1 / x) != x * y | K(x \ 1,x) = y. [para(474(a,1),22(a,1))]. given #353 (H,wt=16): 481 x * K(x \ 1,x) != y | 1 / (1 / x) = y. [para(477(a,1),203(a,1,2)),flip(b)]. given #354 (H,wt=16): 487 (x \ 1) * y != z * x | (x * z) * x = y. [para(482(a,1),22(a,1)),flip(a)]. given #355 (H,wt=16): 495 ((x \ 1) \ 1) / x != y | K(x,1 / x) = y. [para(492(a,1),248(a,1,1)),flip(b)]. given #356 (H,wt=16): 518 T((x * y) / (z * y),z) = R(z \ x,z,y). [para(111(a,1),163(a,1,1))]. given #357 (H,wt=16): 519 R(x \ (y / z),x,z) = T(y / (x * z),x). [para(187(a,1),163(a,1,1)),flip(a)]. given #358 (H,wt=16): 521 R(x \ y,x,x \ 1) = T(y * (x \ 1),x). [para(445(a,1),163(a,1,1)),flip(a)]. given #359 (H,wt=16): 522 (x / (y * x)) * y = y * R(y \ 1,y,x). [para(517(a,1),113(a,1,2)),flip(a)]. given #360 (H,wt=16): 548 T(T((x * y) / x,z),x) != u | T(y,z) = u. [para(330(a,1),242(a,1,1)),flip(b)]. given #361 (H,wt=16): 570 (x / (y * x)) * (R(1 / y,y,x) \ z) = z. [hyper(203,a,285,a)]. given #362 (H,wt=15): 610 R(1 / x,x,y) != z | y / (x * y) = z. [para(570(a,1),138(a,1))]. given #363 (H,wt=16): 573 L(x \ 1,x,y) \ z = ((y * x) \ y) \ z. [hyper(80,a,312,a)]. given #364 (H,wt=16): 601 T(x / y,y) != z * u | (y \ x) / u = z. [para(17(a,1),458(a,1,1,1))]. given #365 (H,wt=16): 602 T(x,x \ 1) / x != y | K(x,1 / x) = y. [para(114(a,2),495(a,1,1))]. given #366 (H,wt=16): 603 R(x,y,z) = T(((y * x) * z) / (y * z),y). [para(16(a,1),518(a,2,1)),flip(a)]. given #367 (H,wt=12): 613 T(R(x,y,x),y * x) = T(x,y). [para(603(a,2),176(a,1,1))]. given #368 (H,wt=12): 615 R(T(x,y * x),y,x) = T(x,y). [hyper(189,a,45,a,b,613,a(flip)),flip(a)]. given #369 (H,wt=14): 618 R(T(x,y),y / x,x) = T(x,y / x). [para(19(a,1),615(a,1,1,2))]. given #370 (H,wt=12): 620 R(x,1 / x,x) = T(x,1 / x). [para(188(a,1),618(a,1,1))]. given #371 (H,wt=16): 614 R(x,y,x) * (y * x) = (y * x) * T(x,y). [para(603(a,2),325(a,1,1))]. given #372 (H,wt=13): 621 (x * y) * T(y,x) = (y * x) * y. [hyper(189,a,110,a(flip),b,614,a(flip))]. given #373 (H,wt=15): 622 (x * (y / x)) * x = y * T(x,y / x). [hyper(252,a,621,a),flip(a)]. given #374 (H,wt=11): 625 T(x,1 / x) = (x \ 1) \ 1. [hyper(74,a,485,a(flip),b,622,a(flip))]. given #375 (H,wt=11): 626 T(x,1 / x) = T(x,x \ 1). [hyper(189,a,114,a,b,625,a)]. given #376 (H,wt=12): 629 R(x,1 / x,x) = T(x,x \ 1). [hyper(189,a,620,a,b,626,a(flip)),flip(a)]. given #377 (H,wt=13): 627 T(x \ 1,x) = ((x \ 1) \ 1) \ 1. [para(67(a,1),625(a,1,2))]. given #378 (H,wt=13): 632 T(x,x \ 1) \ 1 = T(x \ 1,x). [hyper(189,a,523,a,b,627,a),flip(a)]. given #379 (H,wt=13): 633 1 / T(x \ 1,x) = (x \ 1) \ 1. [para(627(a,2),67(a,1,2))]. given #380 (H,wt=17): 116 T(T(R(x,y,z),u),w) = T(R(T(x,w),y,z),u). [para(45(a,2),41(a,1,1)),flip(a)]. given #381 (H,wt=17): 118 (x * y) * ((1 / x) * z) = x * ((y / x) * z). [para(19(a,1),50(a,1,1,2))]. given #382 (H,wt=17): 120 (x * (y \ 1)) * (z * y) = (x * (y \ z)) * y. [para(17(a,1),51(a,1,2,1))]. given #383 (H,wt=17): 204 R(x,y,z) * (y * z) != u | (x * y) * z = u. [para(33(a,2),200(a,1,1)),flip(b)]. given #384 (H,wt=17): 207 (x * y) * L(z,y,x) != u | x * (y * z) = u. [para(31(a,2),203(a,1,2)),flip(b)]. given #385 (H,wt=17): 306 L(x,y,1 / y) != z | (1 / y) * (y * x) = z. [para(31(a,2),209(a,1)),flip(b)]. given #386 (H,wt=17): 340 (x * y) * L(z,y,x) != x * u | y * z = u. [para(31(a,2),81(a,1,2)),flip(b)]. given #387 (H,wt=17): 346 (x * y) * z != x * (y * u) | L(u,y,x) = z. [para(102(a,1),22(a,1)),flip(a)]. given #388 (H,wt=17): 355 (x * y) \ (x * (y * z)) != u | L(z,y,x) = u. [para(102(a,1),237(a,1,2)),flip(b)]. given #389 (H,wt=17): 356 x \ ((x * y) * L(z,y,x)) != u | y * z = u. [para(102(a,2),237(a,1,2)),flip(b)]. given #390 (H,wt=17): 357 x * ((x \ 1) * y) != z | L(y,x \ 1,x) = z. [para(102(a,1),135(a,1)),flip(b)]. given #391 (H,wt=17): 358 (1 / x) * (x * y) != z | L(y,x,1 / x) = z. [para(102(a,1),136(a,1)),flip(b)]. given #392 (H,wt=17): 367 L((x \ 1) \ y,x \ 1,x) != z | x * y = z. [para(104(a,2),208(a,1)),flip(b)]. given #393 (H,wt=17): 376 (x * y) * z != u * (y * z) | R(x,y,z) = u. [para(110(a,1),23(a,1))]. given #394 (H,wt=17): 385 ((x * y) * z) / (y * z) != u | R(x,y,z) = u. [para(110(a,1),248(a,1,1)),flip(b)]. given #395 (H,wt=17): 386 (R(x,y,z) * (y * z)) / z != u | x * y = u. [para(110(a,2),248(a,1,1)),flip(b)]. given #396 (H,wt=17): 387 (x * y) * (y \ 1) != z | R(x,y,y \ 1) = z. [para(110(a,1),137(a,1))]. given #397 (H,wt=17): 433 (x * (1 / y)) \ x != z | L(y,1 / y,x) = z. [para(311(a,1),236(a,1,1)),flip(b)]. given #398 (H,wt=17): 434 x / ((y \ 1) * x) != z | R(y,y \ 1,x) = z. [para(313(a,1),246(a,1,2)),flip(b)]. given #399 (H,wt=17): 437 (x * y) \ (x * z) != u | L(y \ z,y,x) = u. [para(341(a,1),236(a,1,1)),flip(b)]. given #400 (H,wt=17): 438 x * (y * z) != u | (x * y) * L(z,y,x) = u. [para(342(a,1),203(a,1,2)),flip(b)]. given #401 (H,wt=17): 449 R(x,y,y \ 1) / (y \ 1) != z | x * y = z. [para(369(a,1),248(a,1,1)),flip(b)]. given #402 (H,wt=17): 451 (x * y) / (z * y) != u | R(x / z,z,y) = u. [para(371(a,1),246(a,1,2)),flip(b)]. given #403 (H,wt=17): 453 R(x,y,y \ 1) / (y \ 1) != z * y | z = x. [para(373(a,2),23(a,2)),flip(a)]. given #404 (H,wt=17): 466 K(x,1 / x) * y != x | L(x,1 / x,x) = y. [para(457(a,1),22(a,1)),flip(a)]. given #405 (H,wt=17): 476 (x \ 1) * (y / (x \ 1)) = ((x \ 1) * y) * x. [para(67(a,1),469(a,1,2)),flip(a)]. given #406 (H,wt=15): 651 (x * ((x \ 1) * y)) * x = y / (x \ 1). [hyper(487,a,476,a)]. given #407 (H,wt=15): 653 ((x \ 1) \ y) / (x \ 1) = (x * y) * x. [para(17(a,1),651(a,1,1,2)),flip(a)]. given #408 (H,wt=15): 655 ((x * y) * x) * (x \ 1) = (x \ 1) \ y. [para(653(a,1),19(a,1,1))]. given #409 (H,wt=15): 656 (x \ 1) \ (x \ y) = (y * x) * (x \ 1). [para(17(a,1),655(a,1,1,1)),flip(a)]. given #410 (H,wt=15): 658 (x \ y) / ((y * x) * (x \ 1)) = x \ 1. [para(656(a,1),67(a,1,2))]. given #411 (H,wt=15): 659 (x \ (y / x)) / (y * (x \ 1)) = x \ 1. [para(19(a,1),658(a,1,2,1))]. given #412 (H,wt=17): 478 ((x \ 1) \ y) * (x \ 1) = (x \ 1) \ (y / x). [para(67(a,1),470(a,1,2,2)),flip(a)]. given #413 (H,wt=17): 483 ((1 / x) * y) * (1 / x) = x \ (y * (1 / x)). [hyper(225,a,482,a),flip(a)]. given #414 (H,wt=17): 496 K(1 / x,1 / (1 / x)) = (x \ 1) / (1 / x). [para(69(a,1),494(a,1,1,1)),flip(a)]. given #415 (H,wt=17): 500 x * L(x \ (y * x),z,u) = L(y,z,u) * x. [para(35(a,1),159(a,1,2,1))]. given #416 (H,wt=17): 502 L(x / y,z,u) * y = y * L(y \ x,z,u). [para(115(a,1),159(a,1,2,1)),flip(a)]. given #417 (H,wt=17): 503 L((x * y) / x,z,u) * x = x * L(y,z,u). [para(142(a,1),159(a,1,2,1)),flip(a)]. given #418 (H,wt=17): 510 R(x / y,z,u) * y = y * R(y \ x,z,u). [para(115(a,1),160(a,1,2,1)),flip(a)]. given #419 (H,wt=17): 511 R(T(x,y),z,u) * x = x * R(T(x,y),z,u). [para(124(a,1),160(a,1,2,1)),flip(a)]. given #420 (H,wt=10): 667 T(x,R(T(x,y),z,u)) = x. [hyper(148,a,511,a)]. given #421 (H,wt=8): 668 T(x,R(x,y,z)) = x. [para(112(a,1),667(a,1,2,1))]. given #422 (H,wt=17): 512 R((x * y) / x,z,u) * x = x * R(y,z,u). [para(142(a,1),160(a,1,2,1)),flip(a)]. given #423 (H,wt=17): 515 (x * L(x \ y,z,u)) / x = L(y / x,z,u). [para(162(a,1),143(a,1,1,2))]. given #424 (H,wt=16): 676 L(T(x,y) / x,x,y) = (x * K(x,y)) / x. [para(584(a,2),515(a,1,1,2)),flip(a)]. given #425 (H,wt=17): 516 (x * R(x \ y,z,u)) / x = R(y / x,z,u). [para(163(a,1),143(a,1,1,2))]. given #426 (H,wt=17): 537 x \ (x / y) != z | L(y \ 1,y,x / y) = z. [para(19(a,1),310(a,1,1))]. given #427 (H,wt=17): 546 T((x * (y / z)) / x,z) = (x * (z \ y)) / x. [para(115(a,1),330(a,1,1,2)),flip(a)]. given #428 (H,wt=17): 591 (x * (1 / y)) * y != z | R(x,1 / y,y) = z. [para(375(a,1),85(a,1)),flip(b)]. given #429 (H,wt=17): 606 ((x \ y) * x) * (x \ 1) = T(y * (x \ 1),x). [hyper(189,a,369,a,b,521,a(flip)),flip(a)]. given #430 (H,wt=17): 619 (T(x,y * x) * y) * x = T(x,y) * (y * x). [para(615(a,1),110(a,1,1)),flip(a)]. given #431 (H,wt=17): 635 R(T(T(x,y),z),u,w) = T(T(R(x,u,w),z),y). [hyper(189,a,45,a,b,116,a),flip(a)]. given #432 (H,wt=17): 637 (x / (y \ 1)) * (y \ z) = (x * (z * y)) / y. [hyper(76,a,90,a(flip),b,120,a(flip)),flip(a)]. given #433 (H,wt=13): 687 (x * (y * y)) / y = x / (y \ 1). [hyper(138,a,637,a),flip(a)]. given #434 (H,wt=13): 688 (x / (y \ 1)) * y = x * (y * y). [para(687(a,1),19(a,1,1))]. given #435 (H,wt=16): 689 x * (y * y) != z * y | x / (y \ 1) = z. [para(688(a,1),23(a,1))]. given #436 (H,wt=17): 640 R(x,y,y \ 1) != z | (x * y) * (y \ 1) = z. [para(62(a,1),204(a,1))]. given #437 (H,wt=17): 662 L((x * y) / x,z,u) = (x * L(y,z,u)) / x. [hyper(88,a,503,a),flip(a)]. given #438 (H,wt=17): 670 R((x * y) / x,z,u) = (x * R(y,z,u)) / x. [hyper(88,a,512,a),flip(a)]. given #439 (H,wt=17): 671 R((x * y) / x,z,u) \ (x * R(y,z,u)) = x. [hyper(80,a,512,a)]. given #440 (H,wt=18): 93 (x * ((x \ y) * z)) \ (y * z) = a(x,x \ y,z). [para(17(a,1),27(a,2,2,1)),flip(a)]. given #441 (H,wt=18): 94 (x * y) \ ((x * (y / z)) * z) = a(x,y / z,z). [para(19(a,1),27(a,2,1,2)),flip(a)]. given #442 (H,wt=16): 700 x \ ((x * (1 / y)) * y) = a(x,1 / y,y). [para(15(a,1),94(a,1,1))]. given #443 (H,wt=15): 702 x \ R(x,1 / y,y) = a(x,1 / y,y). [para(589(a,1),700(a,1,2))]. given #444 (H,wt=18): 109 R(x,y,(x * y) \ z) = z / (y * ((x * y) \ z)). [para(17(a,1),33(a,2,1))]. given #445 (H,wt=18): 153 (x * y) \ (y * (T(x,y) * z)) = L(z,T(x,y),y). [para(113(a,1),31(a,2,1)),flip(a)]. given #446 (H,wt=18): 156 ((x * y) * T(z,y)) / (z * y) = R(x,y,T(z,y)). [para(113(a,1),33(a,2,2)),flip(a)]. given #447 (H,wt=18): 167 ((1 / (x * y)) * x) * y = a(1 / (x * y),x,y). [para(122(a,1),27(a,2)),flip(a)]. given #448 (H,wt=18): 182 x * (y * (y \ (x \ (z * u)))) != z * w | w = u. [para(63(a,2),22(a,2)),flip(a)]. given #449 (H,wt=18): 186 ((((x * y) / z) / u) * u) * z != w * y | w = x. [para(73(a,2),23(a,2)),flip(a)]. given #450 (H,wt=18): 281 R((x * y) \ x,z,u) = L(R(y \ 1,z,u),y,x). [para(140(a,1),47(a,1,1))]. given #451 (H,wt=18): 282 L(L(x \ 1,y,z),x,u) = L((u * x) \ u,y,z). [para(140(a,1),48(a,1,1)),flip(a)]. given #452 (H,wt=17): 708 L((x * y) \ x,y,1 / y) = L(1 / y,y,x). [para(277(a,1),282(a,1,1)),flip(a)]. given #453 (H,wt=18): 289 R(R(1 / x,y,z),x,u) = R(u / (x * u),y,z). [para(141(a,1),49(a,1,1)),flip(a)]. given #454 (H,wt=18): 303 x * L(T(y,x),z,u) != w | L(y,z,u) * x = w. [para(43(a,2),205(a,1,2))]. given #455 (H,wt=18): 304 x * R(T(y,x),z,u) != w | R(y,z,u) * x = w. [para(45(a,2),205(a,1,2))]. given #456 (H,wt=18): 331 x * T(y,z) != u * x | T((x * y) / x,z) = u. [para(176(a,1),149(a,1,2)),flip(b)]. given #457 (H,wt=18): 332 (x * T(y,z)) / x != u | T((x * y) / x,z) = u. [para(176(a,1),250(a,1,1,2)),flip(b)]. given #458 (H,wt=18): 350 (x * y) * T(L(z,y,x),u) = x * (y * T(z,u)). [para(43(a,1),102(a,1,2))]. given #459 (H,wt=18): 353 (x * y) * L(z,T(x,y),y) = y * (T(x,y) * z). [para(113(a,1),102(a,1,1))]. given #460 (H,wt=18): 363 L(x \ ((y * x) / y),x,y) = K(y,(y * x) / y). [hyper(189,a,98,a(flip),b,104,a)]. given #461 (H,wt=18): 365 L(T(x,y) \ z,T(x,y),y) = (x * y) \ (y * z). [para(113(a,1),104(a,2,1))]. given #462 (H,wt=18): 380 T(R(x,y,z),u) * (y * z) = (T(x,u) * y) * z. [para(45(a,1),110(a,1,1))]. given #463 (H,wt=18): 383 R(x,y,T(z,y)) * (z * y) = (x * y) * T(z,y). [para(113(a,1),110(a,1,2))]. given #464 (H,wt=18): 392 T((x * y) / (z * y),u) = R(T(x / z,u),z,y). [para(111(a,1),45(a,2,1)),flip(a)]. given #465 (H,wt=18): 393 T(R(x / y,y,z),y * z) = (y * z) \ (x * z). [para(111(a,2),115(a,1,1))]. given #466 (H,wt=18): 405 (x \ y) \ y != z * u | z \ T(x,x \ y) = u. [para(174(a,1),235(a,1,1))]. given #467 (H,wt=18): 407 (x * y) / K(x,y) != z * u | z \ (y * x) = u. [para(29(a,2),244(a,1,2))]. given #468 (H,wt=18): 414 x * (1 / x) != y * z | y \ K(x,1 / x) = z. [para(214(a,1),412(a,1))]. given #469 (H,wt=18): 415 T(x \ (x / y),z) = L(T(y \ 1,z),y,x / y). [para(279(a,1),43(a,2,1)),flip(a)]. given #470 (H,wt=18): 417 T((x \ y) / y,z) = R(T(1 / x,z),x,x \ y). [para(286(a,1),45(a,2,1)),flip(a)]. given #471 (H,wt=16): 723 R(T(1 / x,y),x,x \ y) = y \ (x \ y). [hyper(307,a,417,a),flip(a)]. given #472 (H,wt=18): 418 (((x / y) / z) * z) * y != u * w | x / w = u. [para(19(a,2),297(a,1,1))]. given #473 (H,wt=18): 420 ((x / y) * y) * z != u * w | (x * z) / w = u. [para(195(a,1),297(a,1,1))]. given #474 (H,wt=18): 424 x * (y * (y \ z)) != u * w | (x * z) / w = u. [para(197(a,1),298(a,1,2))]. given #475 (H,wt=18): 429 (x * y) * K(y,x) != z * u | z \ (y * x) = u. [para(127(a,1),300(a,1,1))]. given #476 (H,wt=18): 430 ((x / y) * y) * z != u * w | u \ (x * z) = w. [para(195(a,1),300(a,1,1))]. given #477 (H,wt=18): 431 x * (y * (y \ (x \ z))) != u * w | u \ z = w. [para(17(a,2),301(a,1,2))]. given #478 (H,wt=18): 432 x * (y * (y \ z)) != u * w | u \ (x * z) = w. [para(197(a,1),301(a,1,2))]. given #479 (H,wt=18): 436 T((x \ y) \ y,z) != u | T(T(x,z),x \ y) = u. [para(114(a,1),333(a,1,1))]. given #480 (H,wt=18): 440 L(T(x \ y,z),x,1 / x) = T((1 / x) * y,z). [para(361(a,1),43(a,2,1))]. given #481 (H,wt=18): 443 L(T((x \ 1) \ y,z),x \ 1,x) = T(x * y,z). [para(362(a,1),43(a,2,1))]. given #482 (H,wt=18): 447 (x \ 1) \ R(y,x,x \ 1) = T(y * x,x \ 1). [hyper(75,a,369,a(flip),b,113,a)]. given #483 (H,wt=18): 450 R(x / y,y,T(z,x)) \ (z * x) = y * T(z,x). [para(113(a,1),371(a,1,2))]. given #484 (H,wt=18): 461 (x * (x \ y)) * z != u * w | u \ (y * z) = w. [para(91(a,2),426(a,1))]. given #485 (H,wt=18): 462 R(T(x / y,z),y,y \ 1) = T(x * (y \ 1),z). [para(445(a,1),45(a,2,1))]. given #486 (H,wt=18): 465 ((x \ y) \ y) * z != u | T(x,x \ y) * z = u. [para(174(a,1),455(a,1,1,1))]. given #487 (H,wt=18): 475 L(R(x,y,z),x \ 1,x) = R(1 / (1 / x),y,z). [para(472(a,1),47(a,1,1)),flip(a)]. given #488 (H,wt=18): 498 x * (y * T(z,x * y)) = L(z,y,x) * (x * y). [hyper(189,a,102,a(flip),b,159,a(flip)),flip(a)]. given #489 (H,wt=18): 505 (x * y) * R(T(z,x * y),x,y) = (z * x) * y. [hyper(189,a,110,a(flip),b,160,a)]. given #490 (H,wt=17): 733 (x * y) * z != u | R(x,y,z) * (y * z) = u. [para(505(a,1),304(a,1))]. given #491 (H,wt=18): 506 ((x * y) * z) / R(T(x,y * z),y,z) = y * z. [hyper(76,a,110,a(flip),b,160,a)]. given #492 (H,wt=18): 507 (x * y) \ ((z * x) * y) = R(T(z,x * y),x,y). [hyper(75,a,110,a(flip),b,160,a)]. given #493 (H,wt=18): 508 R(x,y,z) * u != u * w | R(T(x,u),y,z) = w. [para(160(a,1),22(a,1))]. given #494 (H,wt=18): 535 ((x \ y) \ y) \ z != u | T(x,x \ y) \ z = u. [para(256(a,1),237(a,1,2)),flip(b)]. given #495 (H,wt=18): 544 T(x / y,z) * y != u | y * T(y \ x,z) = u. [para(328(a,1),200(a,1,1)),flip(b)]. given #496 (H,wt=18): 547 T((x * y) / x,z) * x != u | x * T(y,z) = u. [para(330(a,1),200(a,1,1)),flip(b)]. given #497 (H,wt=18): 551 T(x,x \ y) * z != u | ((x \ y) \ y) * z = u. [para(526(a,1),203(a,1,2)),flip(b)]. given #498 (H,wt=18): 558 L(R(T(x,y),z,u),y,x) = R(T(x,x * y),z,u). [para(554(a,1),47(a,1,1)),flip(a)]. given #499 (H,wt=18): 565 T(((x \ y) * x) / (x \ y),y) = L(x,x \ y,x). [para(17(a,1),563(a,1,2))]. NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 2147483647 (0.00 of 3.10 sec). given #500 (H,wt=18): 566 T(T((x * y) / x,z),y * x) = T(L(y,x,y),z). [para(563(a,1),41(a,1,1)),flip(a)]. given #501 (H,wt=18): 568 x * R(T(y,x),z,z \ x) = (y * z) * (z \ x). [hyper(189,a,160,a,b,255,a(flip)),flip(a)]. given #502 (H,wt=18): 571 x * T(x \ (y * x),z) != u | T(y,z) * x = u. [para(35(a,1),302(a,1,2,1))]. given #503 (H,wt=18): 575 x \ (y * T(y \ x,y)) != z | K(y \ x,y) = z. [para(113(a,2),336(a,1,2))]. given #504 (H,wt=18): 587 R(x,x \ (y / z),z) \ y = (x \ (y / z)) * z. [para(19(a,1),370(a,1,2))]. given #505 (H,wt=18): 596 R(T(x / (1 / y),z),1 / y,y) = T(x * y,z). [para(593(a,1),45(a,2,1))]. given #506 (H,wt=18): 604 T((x * (y \ z)) / z,y) = R(y \ x,y,y \ z). [para(17(a,1),518(a,1,1,2))]. given #507 (H,wt=18): 609 ((x \ y) / y) * (R(1 / x,x,x \ y) \ z) = z. [para(17(a,1),570(a,1,1,2))]. given #508 (H,wt=17): 741 R(1 / x,x,x \ y) != z | (x \ y) / y = z. [para(609(a,1),138(a,1))]. given #509 (H,wt=18): 612 (((x * y) * z) / (x * z)) * x = x * R(y,x,z). [para(603(a,2),113(a,1,2)),flip(a)]. given #510 (H,wt=18): 628 ((1 / x) * ((x \ 1) \ 1)) / (1 / x) != y | y = x. [para(625(a,1),250(a,1,1,2))]. given #511 (H,wt=18): 631 R(R(x,y,z),1 / x,x) = R(T(x,x \ 1),y,z). [para(629(a,1),49(a,1,1)),flip(a)]. given #512 (H,wt=18): 654 x / (y \ 1) != z * y | y * ((y \ 1) * x) = z. [para(651(a,1),23(a,1))]. given #513 (H,wt=18): 657 (x \ 1) \ y != z * (x \ 1) | (x * y) * x = z. [para(655(a,1),23(a,1))]. given #514 (H,wt=18): 660 (x \ 1) \ (x \ y) != z | (y * x) * (x \ 1) = z. [para(658(a,1),236(a,1,1)),flip(b)]. given #515 (H,wt=18): 661 x \ (y / x) != (x \ 1) * z | y * (x \ 1) = z. [para(659(a,1),82(a,1,1)),flip(a),flip(b)]. given #516 (H,wt=18): 674 T(L(x / y,z,u),y) != w | L(y \ x,z,u) = w. [para(515(a,1),242(a,1,1)),flip(b)]. given #517 (H,wt=18): 675 L((x \ y) / z,z,x) = (z * ((x * z) \ y)) / z. [para(183(a,1),515(a,1,1,2)),flip(a)]. given #518 (H,wt=18): 701 (x * y) \ (y * T(x,y / x)) = a(x,y / x,x). [para(622(a,1),94(a,1,2))]. given #519 (H,wt=18): 703 T(((x * y) * x) / (x * y),y) = R(x,y,T(x,y)). [hyper(189,a,330,a(flip),b,156,a(flip)),flip(a)]. given #520 (H,wt=18): 710 (1 / x) * (x * ((y * x) \ y)) = L(1 / x,x,y). [hyper(306,a,708,a)]. given #521 (H,wt=18): 720 R(T(x / y,y * z),y,z) = (y * z) \ (x * z). [hyper(307,a,392,a),flip(a)]. given #522 (H,wt=18): 725 (x * (x \ y)) * z != u * w | (y * z) / w = u. [para(67(a,1),420(a,1,1,1))]. given #523 (H,wt=18): 736 T(T((x * y) / x,z),y * x) = L(T(y,z),x,y). [hyper(189,a,43,a,b,566,a)]. given #524 (H,wt=18): 739 T(((1 / x) * y) * x,1 / x) = R(y,1 / x,x). [para(142(a,1),596(a,1,1)),flip(a)]. given #525 (H,wt=19): 326 (x \ y) * T((x \ y) \ y,z) = T(x,z) * (x \ y). [para(114(a,1),158(a,1,2,1))]. given #526 (H,wt=19): 327 T(x / (x / y),z) * (x / y) = (x / y) * T(y,z). [para(164(a,1),158(a,1,2,1)),flip(a)]. given #527 (H,wt=19): 388 R(x,y,z) * (y * z) != z * u | T(x * y,z) = u. [para(110(a,2),148(a,2)),flip(a)]. given #528 (H,wt=19): 404 x * ((x \ y) * z) != y * u | L(z,x \ y,x) = u. [para(102(a,1),212(a,1))]. given #529 (H,wt=19): 459 (x * y) \ x != z * u | L(y \ 1,y,x) / u = z. [para(278(a,1),425(a,1,2))]. given #530 (H,wt=19): 473 (x / (1 / y)) * ((1 / y) * z) = y * ((y \ x) * z). [para(468(a,1),50(a,1,1))]. given #531 (H,wt=18): 745 (1 / (1 / x)) \ L(y,x \ 1,x) = (1 / x) * y. [hyper(75,a,166,a(flip),b,473,a)]. given #532 (H,wt=19): 491 (x * (y \ 1)) * ((y \ 1) \ z) = (x * (z / y)) * y. [para(485(a,1),51(a,1,2))]. given #533 (H,wt=16): 748 (x * (y / x)) * x != z | (x \ 1) \ y = z. [para(491(a,1),135(a,1)),flip(b)]. given #534 (H,wt=18): 749 (x * (y / x)) * x != 1 * z | (x \ 1) \ y = z. [para(491(a,1),212(a,1))]. given #535 (H,wt=19): 504 L(L(x,y,z),u,w) * x = x * L(L(x,y,z),u,w). [para(125(a,1),159(a,1,2,1)),flip(a)]. given #536 (H,wt=11): 750 T(x,L(L(x,y,z),u,w)) = x. [hyper(148,a,504,a)]. given #537 (H,wt=19): 509 x * R(T(T(y,x),z),u,w) = R(T(y,z),u,w) * x. [para(41(a,1),160(a,1,2,1))]. given #538 (H,wt=19): 538 T(x,y) / (x * y) != z | R(1 / y,y,T(x,y)) = z. [para(113(a,1),314(a,1,2))]. given #539 (H,wt=19): 550 x \ (((y / (1 / x)) * z) / z) = (x \ 1) * (y * x). [para(18(a,2),493(a,1,2))]. given #540 (H,wt=15): 751 ((x / (1 / y)) * y) * (y \ 1) = x * y. [hyper(661,a,550,a)]. given #541 (H,wt=15): 752 (x * (1 / y)) * y = (x * y) * (y \ 1). [para(18(a,1),751(a,1,1,1)),flip(a)]. given #542 (H,wt=17): 753 x \ ((y * x) * (x \ 1)) = T(y * (1 / x),x). [hyper(147,a,752,a,b,17,a),flip(a)]. given #543 (H,wt=17): 756 T((x * y) * (1 / x),x) = x \ ((x \ 1) \ y). [para(655(a,1),753(a,1,2)),flip(a)]. given #544 (H,wt=19): 553 (x * (y * z)) \ ((x * y) * z) != u | a(x,y,z) = u. [para(92(a,1),237(a,1,2)),flip(b)]. given #545 (H,wt=19): 577 x \ (y * ((y \ x) * z)) != u | L(z,y \ x,y) = u. [para(344(a,1),237(a,1,2)),flip(b)]. given #546 (H,wt=19): 588 (x * y) / ((z \ x) * y) != u | R(z,z \ x,y) = u. [para(370(a,1),246(a,1,2)),flip(b)]. given #547 (H,wt=19): 590 (x * (y / z)) * z != u * y | R(x,y / z,z) = u. [para(375(a,1),23(a,1))]. given #548 (H,wt=19): 616 (x * y) * T(y,x) != z * (x * y) | R(y,x,y) = z. [para(613(a,1),149(a,1,2)),flip(b)]. given #549 (H,wt=19): 630 (x * T(y,y \ 1)) / x = T((x * y) / x,1 / y). [para(626(a,1),330(a,1,1,2))]. given #550 (H,wt=19): 645 (x * y) \ (x * (z * y)) != u | L(T(z,y),y,x) = u. [para(113(a,1),355(a,1,2,2))]. given #551 (H,wt=19): 680 ((x * (y / z)) / x) * z = z * ((x * (z \ y)) / x). [para(546(a,1),113(a,1,2)),flip(a)]. given #552 (H,wt=19): 681 (x * ((y * (x \ z)) / y)) / x = (y * (z / x)) / y. [para(546(a,1),143(a,1,1,2))]. given #553 (H,wt=19): 682 ((x * (y / z)) / x) \ (z * ((x * (z \ y)) / x)) = z. [para(546(a,1),144(a,1,2,2))]. given #554 (H,wt=19): 684 (x * K(y \ x,y)) * (y \ 1) = T(x * (y \ 1),y). [para(213(a,2),606(a,1,1))]. given #555 (H,wt=19): 686 T(T(R(x / y,z,u),w),y) = R(T(y \ x,w),z,u). [para(115(a,1),635(a,1,1,1)),flip(a)]. given #556 (H,wt=19): 706 R((x * y) \ x,y,y \ 1) = L(T(y \ 1,y),y,x). [para(520(a,1),281(a,2,1))]. given #557 (H,wt=19): 727 (1 / x) \ T((1 / x) * y,z) = x * T(x \ y,z). [hyper(75,a,440,a(flip),b,169,a)]. given #558 (H,wt=17): 765 (1 / x) \ T(1 / x,y) = x * T(x \ 1,y). [para(15(a,1),727(a,1,2,1))]. given #559 (H,wt=19): 729 (x \ 1) * T((x \ 1) \ y,z) = x \ T(x * y,z). [hyper(75,a,443,a(flip),b,166,a),flip(a)]. given #560 (H,wt=17): 770 (x \ 1) * T((x \ 1) \ 1,y) = x \ T(x,y). [para(15(a,1),729(a,2,2,1))]. given #561 (H,wt=13): 773 T(x,y) * (x \ 1) = x \ T(x,y). [hyper(189,a,326,a(flip),b,770,a(flip)),flip(a)]. given #562 (H,wt=19): 731 T(x * (y \ 1),z) / (y \ 1) = T(x / y,z) * y. [hyper(76,a,462,a(flip),b,369,a)]. given #563 (H,wt=19): 738 T(x / (1 / y),z) * (1 / y) = T(x * y,z) / y. [hyper(76,a,596,a(flip),b,589,a),flip(a)]. given #564 (H,wt=19): 757 T((x * y) / x,1 / y) = T((x * y) / x,y \ 1). [hyper(332,a,630,a),flip(a)]. given #565 (H,wt=19): 760 (x * ((y * z) / y)) / x = (y * ((x * z) / x)) / y. [para(16(a,1),681(a,1,1,2,1,2))]. given #566 (H,wt=19): 766 x * T(x \ ((1 / x) \ y),z) = (1 / x) \ T(y,z). [para(17(a,1),727(a,1,2,1)),flip(a)]. given #567 (H,wt=19): 767 x \ T(x * (y * (x \ 1)),z) = T(y,z) * (x \ 1). [hyper(571,a,729,a),flip(a)]. given #568 (H,wt=19): 768 x \ T(x * y,x \ 1) = ((x \ 1) \ y) * (x \ 1). [hyper(205,a,729,a),flip(a)]. given #569 (H,wt=17): 782 x \ T(x * y,x \ 1) = (x \ 1) \ (y / x). [hyper(189,a,478,a(flip),b,768,a)]. given #570 (H,wt=17): 784 (x \ 1) * (x \ T(x * y,x \ 1)) = y / x. [para(782(a,2),17(a,1,2))]. given #571 (H,wt=19): 769 (x \ 1) \ (x \ T(x * y,z)) = T((x \ 1) \ y,z). [hyper(80,a,729,a)]. given #572 (H,wt=19): 771 (x \ 1) * T((x \ 1) \ (x \ y),z) = x \ T(y,z). [para(17(a,1),729(a,2,2,1))]. given #573 (H,wt=19): 776 T(x * (y \ 1),z) / (y \ 1) = y * T(y \ x,z). [hyper(189,a,323,a(flip),b,731,a)]. given #574 (H,wt=17): 789 T(x \ 1,y) / (x \ 1) = x * T(x \ 1,y). [para(14(a,1),776(a,1,1,1))]. given #575 (H,wt=19): 777 T(((1 / x) * y) * x,z) / x = (1 / x) * T(y,z). [hyper(547,a,738,a),flip(a)]. given #576 (H,wt=13): 793 (1 / x) * T(x,y) = T(x,y) / x. [para(68(a,1),777(a,1,1,1)),flip(a)]. given #577 (H,wt=13): 795 (T(x,y) / x) / T(x,y) = 1 / x. [hyper(88,a,793,a)]. given #578 (H,wt=17): 792 (1 / x) * T((1 / x) \ 1,y) = T(x,y) / x. [para(61(a,1),777(a,1,1,1)),flip(a)]. given #579 (H,wt=17): 794 T(x,y) \ (T(x,y) / x) = T(1 / x,T(x,y)). [hyper(147,a,793,a,b,17,a),flip(a)]. given #580 (H,wt=17): 796 T(x,x \ y) / x = (1 / x) * ((x \ y) \ y). [hyper(189,a,220,a(flip),b,793,a(flip))]. given #581 (H,wt=17): 797 (T(x,y) / x) / (1 / x) = T(1 / (1 / x),y). [hyper(76,a,793,a(flip),b,327,a)]. given #582 (H,wt=17): 802 (1 / x) * ((x \ y) \ y) = ((x \ y) \ y) / x. [para(114(a,1),796(a,1,1)),flip(a)]. given #583 (H,wt=18): 801 L(x \ 1,x,T(x,y) / x) = T(1 / x,T(x,y)). [hyper(537,a,794,a)]. given #584 (H,wt=19): 778 (1 / x) * T((1 / x) \ y,z) = T(y * x,z) / x. [hyper(544,a,738,a)]. given #585 (H,wt=19): 779 T(x * y,1 / y) / y = ((1 / y) \ x) * (1 / y). [para(115(a,1),738(a,1,1)),flip(a)]. given #586 (H,wt=19): 783 ((x \ 1) \ (x \ y)) * (x \ 1) = x \ T(y,x \ 1). [para(17(a,1),768(a,1,2,1)),flip(a)]. given #587 (H,wt=19): 786 (x \ T(y,z)) / (x \ 1) = T((x \ y) / (x \ 1),z). [hyper(76,a,771,a(flip),b,323,a)]. given #588 (H,wt=19): 787 (x \ T(y,x \ 1)) / (x \ 1) = (x \ 1) \ (x \ y). [hyper(76,a,771,a(flip),b,113,a(flip))]. given #589 (H,wt=19): 790 x * T(x \ (y / (x \ 1)),z) = T(y,z) / (x \ 1). [para(19(a,1),776(a,1,1,1)),flip(a)]. given #590 (H,wt=17): 806 (x \ (y / (x \ 1))) * x = T(y,x) / (x \ 1). [hyper(205,a,790,a)]. given #591 (H,wt=19): 791 T(((1 / x) * y) * x,z) = ((1 / x) * T(y,z)) * x. [para(777(a,1),19(a,1,1)),flip(a)]. given #592 (H,wt=19): 804 ((1 / x) \ (y / x)) * (1 / x) = T(y,1 / x) / x. [para(19(a,1),779(a,1,1,1)),flip(a)]. given #593 (H,wt=20): 150 (x * (T(y,x) * z)) \ ((y * x) * z) = a(x,T(y,x),z). [para(113(a,1),27(a,2,2,1)),flip(a)]. given #594 (H,wt=20): 217 (x * (y * z)) \ (x * (z * y)) = L(K(z,y),y * z,x). [para(95(a,1),31(a,2,2,2)),flip(a)]. given #595 (H,wt=20): 231 K(x,1 / x) \ (x * ((1 / x) * y)) = L(y,1 / x,x). [para(168(a,2),31(a,2,1)),flip(a)]. given #596 (H,wt=20): 233 x / R(T(y,R(y,z,u) \ x),z,u) = R(y,z,u) \ x. [para(45(a,2),174(a,1,2))]. given #597 (H,wt=20): 295 ((x / y) \ x) * z != u | T(u / y,(x / y) \ x) = z. [para(226(a,1),148(a,2))]. given #598 (H,wt=20): 317 T(x \ y,T(x,x \ y)) != z | T(x,x \ y) \ y = z. [para(174(a,1),307(a,1,1))]. given #599 (H,wt=20): 335 (x * y) \ (x * ((z \ y) * z)) = L(K(z \ y,z),y,x). [para(213(a,1),31(a,2,2,2)),flip(a)]. given #600 (H,wt=20): 349 (x * (y * z)) / (y * L(z,y,x)) = R(x,y,L(z,y,x)). [para(102(a,1),33(a,2,1)),flip(a)]. given #601 (H,wt=20): 351 (x * y) * R(L(z,y,x),u,w) = x * (y * R(z,u,w)). [para(47(a,2),102(a,1,2))]. given #602 (H,wt=20): 352 (x * y) * L(L(z,y,x),u,w) = x * (y * L(z,u,w)). [para(48(a,1),102(a,1,2))]. given #603 (H,wt=20): 354 K(x \ 1,x) * L(y,x,x \ 1) = (x \ 1) * (x * y). [para(165(a,2),102(a,1,1))]. given #604 (H,wt=20): 381 L(R(x,y,z),u,w) * (y * z) = (L(x,u,w) * y) * z. [para(47(a,1),110(a,1,1))]. given #605 (H,wt=20): 382 R(R(x,y,z),u,w) * (y * z) = (R(x,u,w) * y) * z. [para(49(a,1),110(a,1,1))]. given #606 (H,wt=20): 394 R(x / T(y,z),T(y,z),y) = (x * y) / (y * T(y,z)). [para(173(a,1),111(a,2,2))]. given #607 (H,wt=20): 399 R(x * y,K(y,x),z) \ ((y * x) * z) = K(y,x) * z. [para(95(a,1),133(a,1,2,1))]. given #608 (H,wt=20): 402 x \ L(L(y,x \ 1,x),z,u) = (x \ 1) * L(y,z,u). [hyper(75,a,48,a,b,166,a)]. given #609 (H,wt=20): 403 (1 / x) \ L(L(y,x,1 / x),z,u) = x * L(y,z,u). [hyper(75,a,48,a,b,169,a)]. given #610 (H,wt=19): 819 (1 / x) \ L(1 / x,y,z) = x * L(x \ 1,y,z). [para(277(a,1),403(a,1,2,1))]. given #611 (H,wt=20): 435 T(x \ y,T(x,x \ y)) != z | ((x \ y) \ y) \ y = z. [para(114(a,2),315(a,1,2))]. given #612 (H,wt=20): 441 L(R(x \ y,z,u),x,1 / x) = R((1 / x) * y,z,u). [para(361(a,1),47(a,1,1)),flip(a)]. given #613 (H,wt=20): 442 L(L(x \ y,z,u),x,1 / x) = L((1 / x) * y,z,u). [para(361(a,1),48(a,1,1)),flip(a)]. given #614 (H,wt=20): 444 L(R((x \ 1) \ y,z,u),x \ 1,x) = R(x * y,z,u). [para(362(a,1),47(a,1,1)),flip(a)]. given #615 (H,wt=20): 463 R(L(x / y,z,u),y,y \ 1) = L(x * (y \ 1),z,u). [para(445(a,1),47(a,2,1))]. given #616 (H,wt=20): 464 R(R(x / y,z,u),y,y \ 1) = R(x * (y \ 1),z,u). [para(445(a,1),49(a,1,1)),flip(a)]. given #617 (H,wt=20): 562 x * L(T(y,y * x),z,u) = L(L(y,x,y),z,u) * x. [para(557(a,1),159(a,1,2,1))]. given #618 (H,wt=20): 564 L(x,T(y,x),x) * T(y,x) = T(y,x) * T(x,y * x). [para(113(a,1),559(a,1,2,2)),flip(a)]. given #619 (H,wt=20): 572 x * T(T(T(y,x),z),u) != w | T(T(y,z),u) * x = w. [para(41(a,1),302(a,1,2,1))]. given #620 (H,wt=20): 582 L(T((x \ y) \ z,u),x \ y,x) = T(y \ (x * z),u). [para(359(a,1),43(a,2,1))]. given #621 (H,wt=20): 585 L(T(x \ T(y,z),u),x,z) = T((z * x) \ (y * z),u). [para(366(a,1),43(a,2,1))]. given #622 (H,wt=20): 594 R(R(x,1 / y,y),z,u) / y = R(x,z,u) * (1 / y). [hyper(76,a,49,a,b,589,a)]. given #623 (H,wt=20): 595 L(R(x,1 / y,y),z,u) / y = L(x,z,u) * (1 / y). [hyper(76,a,47,a(flip),b,589,a)]. given #624 (H,wt=20): 597 R(T(x / (y / z),u),y / z,z) = T((x * z) / y,u). [para(391(a,1),45(a,2,1))]. given #625 (H,wt=20): 598 R((x / y) \ z,x / y,y) = T((z * y) / x,x / y). [para(391(a,1),163(a,1,1)),flip(a)]. given #626 (H,wt=20): 624 (x * y) * T(y,x) != z * u | z \ ((y * x) * y) = u. [para(621(a,2),426(a,1))]. given #627 (H,wt=20): 652 (x \ 1) * y != ((x \ 1) * z) * x | z / (x \ 1) = y. [para(476(a,1),22(a,1)),flip(a)]. given #628 (H,wt=20): 672 (x * R(y,z,z \ x)) / (z \ x) = ((x * y) / x) * z. [hyper(76,a,512,a(flip),b,255,a(flip))]. given #629 (H,wt=20): 673 L(x / y,z,u) * y != w | y * L(y \ x,z,u) = w. [para(515(a,1),200(a,1,1)),flip(b)]. given #630 (H,wt=20): 679 R(x / y,z,u) * y != w | y * R(y \ x,z,u) = w. [para(516(a,1),200(a,1,1)),flip(b)]. given #631 (H,wt=20): 690 L((x * y) / x,z,u) * x != w | x * L(y,z,u) = w. [para(662(a,2),200(a,1,1)),flip(b)]. given #632 (H,wt=20): 695 R((x * (1 / y)) / x,y,z) = (x * (z / (y * z))) / x. [para(141(a,1),670(a,2,1,2))]. given #633 (H,wt=20): 740 ((x * (y \ z)) / z) * y = y * R(y \ x,y,y \ z). [para(604(a,1),113(a,1,2)),flip(a)]. given #634 (H,wt=20): 754 (x * y) * (y \ 1) != y * z | T(x * (1 / y),y) = z. [para(752(a,1),148(a,2)),flip(a)]. given #635 (H,wt=20): 763 T(T((x * y) / (z * y),u),z) = R(T(z \ x,u),z,y). [para(111(a,1),686(a,1,1,1))]. given #636 (H,wt=20): 764 R(T(x \ y,x * z),x,z) = T((x * z) \ (y * z),x). [para(393(a,1),686(a,1,1)),flip(a)]. given #637 (H,wt=20): 775 (x * y) \ (y * (x \ T(x,y))) = L(x \ 1,T(x,y),y). [para(773(a,1),153(a,1,2,2))]. given #638 (H,wt=20): 798 T(x,y) / x != T(x,y) * z | T(1 / x,T(x,y)) = z. [para(793(a,1),148(a,2)),flip(a)]. given #639 (H,wt=20): 800 (1 / x) * T(x,y) != z * u | (T(x,y) / x) / u = z. [para(795(a,1),297(a,1,1))]. given #640 (H,wt=20): 813 K(x \ 1,x) * L(x \ y,x,x \ 1) = (x \ 1) * y. [hyper(189,a,89,a(flip),b,354,a)]. given #641 (H,wt=20): 832 T((x * y) \ ((x * z) * y),x) = R(T(z,x * y),x,y). [para(16(a,1),764(a,1,1,1)),flip(a)]. given #642 (H,wt=21): 309 L(L(x \ 1,x,y),y * x,z) = (z * (y * x)) \ (z * y). [para(278(a,1),31(a,2,2,2))]. given #643 (H,wt=21): 410 (R(x,y,z) * (y * z)) / z != u * w | (x * y) / w = u. [para(110(a,2),251(a,1,1))]. given #644 (H,wt=21): 419 R(x,y,z) * (y * z) != u * w | ((x * y) * z) / w = u. [para(33(a,2),297(a,1,1))]. given #645 (H,wt=21): 421 (x * y) * L(z,y,x) != u * w | (x * (y * z)) / w = u. [para(128(a,1),297(a,1,1))]. given #646 (H,wt=21): 427 R(x,y,z) * (y * z) != u * w | u \ ((x * y) * z) = w. [para(33(a,2),300(a,1,1))]. given #647 (H,wt=21): 439 x * (y * z) != u * w | u \ ((x * y) * L(z,y,x)) = w. [para(342(a,1),301(a,1,2))]. given #648 (H,wt=21): 452 R(R(1 / x,x,y),x * y,z) \ (y * z) = (x * y) * z. [para(141(a,2),371(a,1,1,1))]. given #649 (H,wt=21): 454 (x * y) * (y \ 1) != z * u | z \ R(x,y,y \ 1) = u. [para(373(a,1),300(a,1,1))]. given #650 (H,wt=21): 460 R(x,y,z) \ ((x * y) * z) != u * w | (y * z) / w = u. [para(110(a,1),425(a,1,2))]. given #651 (H,wt=21): 501 x * L(R(T(y,x),z,u),w,v5) = L(R(y,z,u),w,v5) * x. [para(45(a,2),159(a,1,2,1))]. given #652 (H,wt=20): 834 x * R(T(y,y * x),z,u) = L(R(y,z,u),x,y) * x. [para(558(a,1),501(a,1,2))]. given #653 (H,wt=21): 513 (x \ y) * R((x \ y) \ y,z,u) = R(x,z,u) * (x \ y). [para(114(a,1),160(a,1,2,1))]. given #654 (H,wt=17): 835 R(T(x,x \ y),z,u) = R((x \ y) \ y,z,u). [hyper(20,a,160,a,b,513,a),flip(a)]. given #655 (H,wt=21): 514 R(x / (x / y),z,u) * (x / y) = (x / y) * R(y,z,u). [para(164(a,1),160(a,1,2,1)),flip(a)]. given #656 (H,wt=21): 524 ((x \ y) \ y) * T(z,T(x,x \ y)) = z * T(x,x \ y). [hyper(205,a,219,a),flip(a)]. given #657 (H,wt=21): 539 (1 / x) / K(x,1 / x) != y | R(1 / x,x,1 / x) = y. [para(168(a,2),314(a,1,2))]. given #658 (H,wt=21): 569 (x * y) * T((x * y) \ x,z) = x * (y * T(y \ 1,z)). [para(280(a,2),102(a,1,2))]. given #659 (H,wt=21): 578 x * ((x \ 1) * y) != z * u | z \ L(y,x \ 1,x) = u. [para(344(a,1),412(a,1))]. given #660 (H,wt=21): 600 x * ((x \ 1) * y) != z * u | L(y,x \ 1,x) / u = z. [para(102(a,1),422(a,1))]. given #661 (H,wt=21): 623 (T(x,y) * (y * x)) \ ((x * y) * x) = K(y * x,T(x,y)). [hyper(75,a,621,a(flip),b,95,a)]. given #662 (H,wt=21): 638 T(R(x,y,z),u) * (y * z) != w | (T(x,u) * y) * z = w. [para(45(a,1),204(a,1,1))]. given #663 (H,wt=21): 641 (x * y) * T(L(z,y,x),u) != w | x * (y * T(z,u)) = w. [para(43(a,1),207(a,1,2))]. given #664 (H,wt=21): 644 (x * y) \ (y * (T(x,y) * z)) != u | L(z,T(x,y),y) = u. [para(113(a,1),355(a,1,1))]. given #665 (H,wt=21): 648 (x * y) * T(z,y) != u * (z * y) | R(x,y,T(z,y)) = u. [para(113(a,1),376(a,2,2))]. given #666 (H,wt=21): 678 ((x / y) * R(y,z,u)) / (x / y) = R(x / (x / y),z,u). [para(69(a,1),516(a,1,1,2,1))]. given #667 (H,wt=21): 707 L(L(x \ 1,y * x,z),x,y) = (z * (y * x)) \ (z * y). [hyper(189,a,104,a(flip),b,282,a)]. given #668 (H,wt=21): 721 R(T(x / y,y * z),y,z) != u | (y * z) \ (x * z) = u. [para(392(a,1),307(a,1))]. given #669 (H,wt=21): 722 (x / y) * (y * T(y \ 1,z)) = x * T(x \ (x / y),z). [para(415(a,2),345(a,1,2)),flip(a)]. given #670 (H,wt=19): 842 (x / y) * K(y \ 1,y) = x * T(x \ (x / y),y). [para(229(a,1),722(a,1,2))]. given #671 (H,wt=21): 724 T((x \ y) / y,z) * y = (T(1 / x,z) * x) * (x \ y). [para(417(a,2),255(a,1,1))]. given #672 (H,wt=21): 732 ((x * y) \ x) * (x * y) = x * (y * T(y \ 1,x * y)). [para(140(a,1),498(a,2,1)),flip(a)]. given #673 (H,wt=19): 844 K((x * y) \ x,x * y) = y * T(y \ 1,x * y). [hyper(334,a,732,a)]. given #674 (H,wt=19): 845 K((x * y) \ x,x * y) / y = T(1 / y,x * y). [hyper(76,a,844,a,b,323,a)]. given #675 (H,wt=21): 755 (((1 / x) * y) * x) * (x \ 1) = (x \ (y * (1 / x))) * x. [para(483(a,1),752(a,1,1)),flip(a)]. given #676 (H,wt=15): 846 (((1 / x) * y) * x) * (x \ 1) = x \ y. [hyper(189,a,471,a(flip),b,755,a)]. given #677 (H,wt=15): 847 (x \ y) / (x \ 1) = ((1 / x) * y) * x. [hyper(76,a,471,a(flip),b,755,a)]. given #678 (H,wt=15): 848 x \ ((1 / x) \ y) = (y * x) * (x \ 1). [para(17(a,1),846(a,1,1,1)),flip(a)]. given #679 (H,wt=14): 851 x \ ((1 / x) \ y) = R(y,x,x \ 1). [hyper(189,a,369,a(flip),b,848,a)]. given #680 (H,wt=15): 852 x * ((y * x) * (x \ 1)) = (1 / x) \ y. [para(848(a,1),17(a,1,2))]. given #681 (H,wt=18): 849 x \ y != z * (x \ 1) | ((1 / x) * y) * x = z. [para(846(a,1),23(a,1))]. given #682 (H,wt=18): 850 (x \ y) / (x \ 1) != z | ((1 / x) * y) * x = z. [para(846(a,1),248(a,1,1)),flip(b)]. given #683 (H,wt=21): 780 T((x * T(y,x)) / x,T(y,x) \ 1) = T(y,1 / T(y,x)). [para(143(a,1),757(a,1,1)),flip(a)]. given #684 (H,wt=15): 853 T(x,1 / T(x,y)) = T(x,T(x,y) \ 1). [para(143(a,1),780(a,1,1)),flip(a)]. given #685 (H,wt=21): 817 (x \ 1) * L((x \ 1) \ y,z,u) = x \ L(x * y,z,u). [para(362(a,1),402(a,1,2,1)),flip(a)]. given #686 (H,wt=19): 854 (x \ 1) * L((x \ 1) \ 1,y,z) = x \ L(x,y,z). [para(15(a,1),817(a,2,2,1))]. given #687 (H,wt=21): 820 (1 / x) * (x * R(x \ y,z,u)) = R((1 / x) * y,z,u). [hyper(306,a,441,a)]. given #688 (H,wt=19): 855 (1 / x) * (x * R(x \ 1,y,z)) = R(1 / x,y,z). [para(15(a,1),820(a,2,1))]. given #689 (H,wt=18): 860 (1 / x) * ((y / (x * y)) * x) = R(1 / x,x,y). [para(522(a,2),855(a,1,2))]. given #690 (H,wt=17): 862 (x / (y * x)) / ((x / (y * x)) * y) = 1 / y. [hyper(76,a,141,a(flip),b,860,a)]. given #691 (H,wt=19): 857 (1 / x) \ R(1 / x,y,z) = x * R(x \ 1,y,z). [hyper(80,a,855,a)]. given #692 (H,wt=21): 822 (1 / x) * (x * L(x \ y,z,u)) = L((1 / x) * y,z,u). [hyper(306,a,442,a)]. given #693 (H,wt=21): 823 (x \ 1) * R((x \ 1) \ y,z,u) = x \ R(x * y,z,u). [hyper(75,a,444,a(flip),b,166,a),flip(a)]. given #694 (H,wt=19): 865 (x \ 1) * R((x \ 1) \ 1,y,z) = x \ R(x,y,z). [para(15(a,1),823(a,2,2,1))]. given #695 (H,wt=15): 867 R(x,y,z) * (x \ 1) = x \ R(x,y,z). [hyper(189,a,513,a(flip),b,865,a(flip)),flip(a)]. given #696 (H,wt=15): 868 R(x,y,z) \ (x \ R(x,y,z)) = x \ 1. [hyper(75,a,865,a(flip),b,513,a(flip))]. given #697 (H,wt=15): 869 ((1 / x) * R(x,y,z)) * x = R(x,y,z). [hyper(21,a,846,a,b,867,a),flip(a)]. given #698 (H,wt=15): 875 (1 / x) * R(x,y,z) = R(x,y,z) / x. [hyper(88,a,869,a),flip(a)]. given #699 (H,wt=15): 878 (R(x,y,z) / x) / R(x,y,z) = 1 / x. [hyper(88,a,875,a)]. given #700 (H,wt=18): 881 (1 / x) * R(x,y,z) != u | R(x,y,z) / x = u. [para(878(a,1),200(a,1,1)),flip(b)]. given #701 (H,wt=19): 870 (x \ R(x,y,z)) / R(T(x,x \ 1),y,z) = x \ 1. [hyper(76,a,867,a(flip),b,160,a)]. given #702 (H,wt=19): 876 R(x \ 1,y,z) / (x \ 1) = x * R(x \ 1,y,z). [hyper(456,a,875,a),flip(a)]. given #703 (H,wt=20): 877 R(x,y,z) \ (R(x,y,z) / x) = T(1 / x,R(x,y,z)). [hyper(147,a,875,a,b,17,a),flip(a)]. given #704 (H,wt=21): 824 L(x * (y \ 1),z,u) / (y \ 1) = L(x / y,z,u) * y. [hyper(76,a,463,a(flip),b,369,a)]. given #705 (H,wt=21): 827 R(x / (1 / y),z,u) * (1 / y) = R(x * y,z,u) / y. [para(593(a,1),594(a,1,1,1)),flip(a)]. given #706 (H,wt=21): 829 (x * ((y \ x) / x)) / (y \ x) = ((x * (1 / y)) / x) * y. [para(286(a,1),672(a,1,1,2))]. given #707 (H,wt=21): 836 x \ R(T(y,y \ z),u,w) = x \ R((y \ z) \ z,u,w). [hyper(75,a,835,a,b,17,a)]. given #708 (H,wt=21): 840 (x / y) \ (x * T(x \ (x / y),z)) = y * T(y \ 1,z). [hyper(80,a,722,a)]. given #709 (H,wt=15): 886 K(x \ (x / y),x) = y * T(y \ 1,x). [hyper(575,a,840,a)]. given #710 (H,wt=15): 887 x \ K(y \ (y / x),y) = T(x \ 1,y). [hyper(75,a,320,a(flip),b,840,a(flip))]. given #711 (H,wt=15): 889 K(x \ (x / (1 / y)),x) = T(y,x) / y. [hyper(189,a,792,a(flip),b,886,a)]. given #712 (H,wt=15): 890 K(x \ (x / (y \ 1)),x) = y \ T(y,x). [hyper(189,a,770,a(flip),b,886,a)]. given #713 (H,wt=15): 891 K(x \ (x / y),x) / y = T(1 / y,x). [hyper(76,a,886,a,b,323,a)]. given #714 (H,wt=15): 894 T(x,y) = K(y \ (y / (1 / x)),y) * x. [para(889(a,2),19(a,1,1)),flip(a)]. given #715 (H,wt=17): 892 (x \ y) \ K(y \ x,y) = T((x \ y) \ 1,y). [para(67(a,1),887(a,1,2,1,2))]. given #716 (H,wt=18): 888 x * T(x \ 1,y) != z | K(y \ (y / x),y) = z. [para(840(a,1),575(a,1))]. given #717 (H,wt=18): 899 T(x,y) / x != z | K(y \ (y / (1 / x)),y) = z. [para(894(a,2),248(a,1,1)),flip(b)]. given #718 (H,wt=19): 896 K(x \ (x / ((y / x) \ 1)),x) = (y / x) \ (x \ y). [para(115(a,1),890(a,2,2))]. given #719 (H,wt=19): 900 T(((x * y) \ x) \ 1,x) = ((x * y) \ x) \ K(y,x). [para(16(a,1),892(a,1,2,1)),flip(a)]. given #720 (H,wt=19): 903 K(x,y) = ((y * x) \ y) * T(((y * x) \ y) \ 1,y). [para(900(a,2),17(a,1,2)),flip(a)]. given #721 (H,wt=20): 902 T(((x * y) \ x) \ 1,x) = L(y \ 1,y,x) \ K(y,x). [hyper(189,a,573,a,b,900,a)]. given #722 (H,wt=20): 905 T(L(x \ 1,x,y) \ 1,y) = ((y * x) \ y) \ K(x,y). [para(140(a,2),900(a,1,1,1))]. given #723 (H,wt=21): 843 (T(1 / x,y) * x) * (x \ z) = z * T(z \ (x \ z),y). [hyper(544,a,724,a),flip(a)]. given #724 (H,wt=19): 908 ((x \ 1) * x) * (x \ y) = y * T(y \ (x \ y),x). [para(115(a,1),843(a,1,1,1))]. given #725 (H,wt=19): 910 K(x \ 1,x) * (x \ y) = y * T(y \ (x \ y),x). [para(165(a,2),908(a,1,1))]. given #726 (H,wt=21): 861 ((x \ y) / y) / (((x \ y) / (x * (x \ y))) * x) = 1 / x. [hyper(76,a,286,a(flip),b,860,a)]. given #727 (H,wt=17): 911 ((x \ y) / y) / (((x \ y) / y) * x) = 1 / x. [para(17(a,1),861(a,1,2,1,2))]. given #728 (H,wt=17): 912 (1 / x) \ ((x \ y) / y) = ((x \ y) / y) * x. [para(911(a,1),69(a,1,1))]. given #729 (H,wt=21): 864 L((1 / x) * (y * x),z,u) = (1 / x) * (L(y,z,u) * x). [para(500(a,1),822(a,1,2)),flip(a)]. given #730 (H,wt=21): 883 L(x * (y \ 1),z,u) / (y \ 1) = y * L(y \ x,z,u). [hyper(189,a,502,a(flip),b,824,a)]. given #731 (H,wt=21): 884 (1 / x) * R((1 / x) \ y,z,u) = R(y * x,z,u) / x. [hyper(679,a,827,a)]. given #732 (H,wt=19): 915 (1 / x) * R((1 / x) \ 1,y,z) = R(x,y,z) / x. [para(14(a,1),884(a,2,1,1))]. given #733 (H,wt=21): 885 (x * ((y \ x) / x)) / (y \ x) = y * ((x * (y \ 1)) / x). [hyper(189,a,680,a(flip),b,829,a)]. given #734 (H,wt=21): 897 K(x \ (x / (((x * y) / x) \ 1)),x) = ((x * y) / x) \ y. [para(142(a,1),890(a,2,2))]. given #735 (H,wt=21): 906 K(x,y) = L(x \ 1,x,y) * T(L(x \ 1,x,y) \ 1,y). [para(905(a,2),312(a,1,2)),flip(a)]. given #736 (H,wt=21): 909 (x * T(x \ 1,y)) * (x \ z) = z * T(z \ (x \ z),y). [para(323(a,1),843(a,1,1))]. given #737 (H,wt=22): 155 (x * (y * z)) / (z * T(x,y * z)) = R(y,z,T(x,y * z)). [para(113(a,1),33(a,2,1)),flip(a)]. given #738 (H,wt=22): 377 ((x * y) * z) \ ((R(x,y,z) * y) * z) = a(R(x,y,z),y,z). [para(110(a,1),27(a,2,1)),flip(a)]. given #739 (H,wt=22): 384 R(x,y * z,K(z,y)) * (z * y) = (x * (y * z)) * K(z,y). [para(95(a,1),110(a,1,2))]. given #740 (H,wt=22): 448 (x * (y \ 1)) * T(y,y \ 1) = R(x,y \ 1,(y \ 1) \ 1). [para(114(a,2),369(a,1,2))]. given #741 (H,wt=22): 532 (x / T(y,y \ z)) * ((y \ z) \ z) != u * w | x / w = u. [para(220(a,1),297(a,1))]. given #742 (H,wt=22): 533 (x \ y) * T((x \ y) \ y,z) != u | T(x,z) * (x \ y) = u. [para(221(a,1),205(a,1,2))]. given #743 (H,wt=16): 920 x \ T(x,y) != z | T(x,y) * (x \ 1) = z. [para(770(a,1),533(a,1))]. given #744 (H,wt=22): 541 x * T(x \ (y * x),z) != u * w | u \ (T(y,z) * x) = w. [para(322(a,2),426(a,1))]. given #745 (H,wt=22): 542 T(x,y) * T(x,z) != u * w | u \ (T(x,z) * T(x,y)) = w. [para(324(a,1),426(a,1))]. given #746 (H,wt=22): 545 T(x / y,z) * y != u * w | (y * T(y \ x,z)) / w = u. [para(328(a,1),297(a,1,1))]. given #747 (H,wt=22): 549 T((x * y) / x,z) * x != u * w | (x * T(y,z)) / w = u. [para(330(a,1),297(a,1,1))]. given #748 (H,wt=22): 552 x * ((y \ z) \ z) != u * w | (x * T(y,y \ z)) / w = u. [para(531(a,1),297(a,1,1))]. given #749 (H,wt=22): 555 (R(x,y,z) * z) \ ((x * y) * z) = L(T(y,z),z,R(x,y,z)). [para(110(a,1),154(a,1,2))]. given #750 (H,wt=22): 560 (x * y) * R(L(T(x,y),y,x),z,u) = R(x,z,u) * (x * y). [para(554(a,2),160(a,1,2,1))]. given #751 (H,wt=19): 921 x * (y * R(T(x,y),z,u)) = R(x,z,u) * (x * y). [hyper(189,a,351,a(flip),b,560,a(flip)),flip(a)]. given #752 (H,wt=17): 922 R(x,y,z) * (x * u) = x * (R(x,y,z) * u). [para(160(a,1),921(a,1,2)),flip(a)]. given #753 (H,wt=15): 925 x * (R(x,y,z) \ 1) = R(x,y,z) \ x. [hyper(75,a,62,a(flip),b,922,a),flip(a)]. given #754 (H,wt=17): 923 (R(x,y,z) * u) / (R(x,y,z) * (x \ u)) = x. [hyper(424,a,922,a)]. given #755 (H,wt=17): 924 x * (R(x,y,z) * (x \ u)) = R(x,y,z) * u. [hyper(254,a,922,a),flip(a)]. given #756 (H,wt=19): 927 x * (R(x,y,z) * T(u,x)) = R(x,y,z) * (u * x). [para(113(a,1),922(a,1,2)),flip(a)]. given #757 (H,wt=14): 930 R(x,y,x) * T(y,x) = T(x * y,x). [hyper(147,a,110,a(flip),b,927,a),flip(a)]. given #758 (H,wt=20): 926 R(x,y,z) * (x * u) != x * w | R(x,y,z) * u = w. [para(922(a,2),22(a,1))]. given #759 (H,wt=22): 576 x * L(L(y,z \ x,z),u,w) = z * ((z \ x) * L(y,u,w)). [para(48(a,1),344(a,1,2))]. given #760 (H,wt=22): 580 x * L(L(y,z,x / z),u,w) = (x / z) * (z * L(y,u,w)). [para(48(a,1),345(a,1,2))]. given #761 (H,wt=22): 583 L(R((x \ y) \ z,u,w),x \ y,x) = R(y \ (x * z),u,w). [para(359(a,1),47(a,1,1)),flip(a)]. given #762 (H,wt=22): 611 L(x \ 1,x,y) \ (z * ((y * x) \ y)) = T(z,(y * x) \ y). [hyper(189,a,35,a,b,573,a)]. given #763 (H,wt=22): 617 R(R(x,y,x),z,u) * (y * x) = (y * x) * R(T(x,y),z,u). [para(613(a,1),160(a,1,2,1)),flip(a)]. given #764 (H,wt=19): 935 (x * y) * R(T(y,x),z,u) = (R(y,z,u) * x) * y. [hyper(189,a,382,a(flip),b,617,a(flip))]. given #765 (H,wt=22): 634 x / L(T(y \ 1,y),T(y,y \ 1),x) = x * T(y,y \ 1). [para(632(a,1),283(a,1,2,1))]. given #766 (H,wt=22): 663 L(((x * y) * z) / (x * y),y,x) = (x * (y * z)) / (x * y). [hyper(76,a,102,a(flip),b,503,a),flip(a)]. given #767 (H,wt=22): 669 ((((x * y) * z) / (x * y)) * x) * y = (x * y) * R(z,x,y). [hyper(204,a,512,a)]. given #768 (H,wt=22): 683 x * ((y * (x \ z)) / y) != u | ((y * (z / x)) / y) * x = u. [para(546(a,1),205(a,1,2))]. given #769 (H,wt=22): 685 T(x,y) * (y * x) != x * z | T(T(x,y * x) * y,x) = z. [para(619(a,1),148(a,2)),flip(a)]. given #770 (H,wt=22): 691 L((x * (y \ (z \ u))) / x,y,z) = (x * ((z * y) \ u)) / x. [para(183(a,1),662(a,2,1,2))]. given #771 (H,wt=22): 692 L((x * (y \ 1)) / x,y,z / y) = (x * (z \ (z / y))) / x. [para(279(a,1),662(a,2,1,2))]. given #772 (H,wt=22): 693 L((x * (y \ z)) / x,y,1 / y) = (x * ((1 / y) * z)) / x. [para(361(a,1),662(a,2,1,2))]. given #773 (H,wt=22): 696 R((x * ((y / z) / u)) / x,u,z) = (x * (y / (u * z))) / x. [para(187(a,1),670(a,2,1,2))]. given #774 (H,wt=22): 698 R((x * (y / z)) / x,z,z \ 1) = (x * (y * (z \ 1))) / x. [para(445(a,1),670(a,2,1,2))]. given #775 (H,wt=22): 715 L(T(T(x,y) \ z,u),T(x,y),y) = T((x * y) \ (y * z),u). [para(365(a,1),43(a,2,1))]. given #776 (H,wt=22): 735 T(x,y) * (x \ z) != u | (x \ z) * T((x \ z) \ z,y) = u. [para(67(a,1),544(a,1,1,1))]. given #777 (H,wt=22): 743 L((x \ (T(x,y) * y)) / y,y,x) = (y * K(T(x,y),y)) / y. [para(152(a,1),675(a,2,1,2))]. given #778 (H,wt=22): 746 (x / (1 / y)) * z != y * ((y \ x) * u) | (1 / y) * u = z. [para(473(a,1),22(a,1)),flip(a)]. given #779 (H,wt=22): 747 (x * (y \ 1)) * ((y \ 1) \ z) != u * y | x * (z / y) = u. [para(491(a,2),23(a,1))]. given #780 (H,wt=22): 761 ((x * (y / z)) / x) * z != u | z * ((x * (z \ y)) / x) = u. [para(681(a,1),200(a,1,1)),flip(b)]. given #781 (H,wt=22): 772 x \ T(x * y,x \ 1) != z | ((x \ 1) \ y) * (x \ 1) = z. [para(729(a,1),205(a,1))]. given #782 (H,wt=20): 942 (x \ 1) \ (y / x) != z | ((x \ 1) \ y) * (x \ 1) = z. [para(782(a,1),772(a,1))]. given #783 (H,wt=22): 785 (x \ 1) * T((x \ 1) \ y,z) != u | x \ T(x * y,z) = u. [para(769(a,1),203(a,1,2)),flip(b)]. given #784 (H,wt=22): 807 T(((1 / x) * y) * x,z) != u * x | (1 / x) * T(y,z) = u. [para(791(a,2),23(a,1))]. given #785 (H,wt=22): 808 K(x,1 / x) \ (x * (T(x,y) / x)) = L(T(x,y),1 / x,x). [para(793(a,1),231(a,1,2,2))]. given #786 (H,wt=22): 859 (1 / x) \ R(1 / x,y,z) != u | x * R(x \ 1,y,z) = u. [para(855(a,1),237(a,1,2)),flip(b)]. given #787 (H,wt=22): 874 R(x,y,z) * (x \ 1) != u * w | (x \ R(x,y,z)) / w = u. [para(868(a,1),298(a,1,2))]. given #788 (H,wt=22): 893 x * T(x \ 1,y) != z * u | K(y \ (y / x),y) / u = z. [para(887(a,1),298(a,1,2))]. given #789 (H,wt=22): 904 ((x * y) \ x) * T(((x * y) \ x) \ 1,x) != z | K(y,x) = z. [para(900(a,2),203(a,1,2)),flip(b)]. given #790 (H,wt=22): 929 L(R(x,y,z) \ 1,x,1 / x) = (1 / x) * (R(x,y,z) \ x). [para(925(a,1),169(a,1,2)),flip(a)]. given #791 (H,wt=23): 348 (x * (y * z)) \ (x * (y * (z * u))) = L(L(u,z,y),y * z,x). [para(102(a,1),31(a,2,2,2)),flip(a)]. given #792 (H,wt=23): 378 (((x * y) * z) * u) / ((y * z) * u) = R(R(x,y,z),y * z,u). [para(110(a,1),33(a,2,1,1)),flip(a)]. given #793 (H,wt=23): 396 R(R(x,y,z) / u,u,y * z) = ((x * y) * z) / (u * (y * z)). [para(110(a,1),111(a,2,1))]. given #794 (H,wt=23): 527 (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) = K(z,(x \ y) \ y). [para(219(a,2),29(a,2,1)),flip(a)]. given #795 (H,wt=23): 534 (x \ y) * T(T((x \ y) \ y,z),u) = T(T(x,z),u) * (x \ y). [para(221(a,1),158(a,1,2,1))]. given #796 (H,wt=23): 540 ((x \ y) \ y) / T(z,z \ T(x,x \ y)) = z \ ((x \ y) \ y). [para(318(a,2),174(a,1,2,2))]. given #797 (H,wt=23): 543 ((((x * y) / x) \ z) \ z) * x = x * T(y,((x * y) / x) \ z). [hyper(189,a,219,a(flip),b,325,a(flip)),flip(a)]. given #798 (H,wt=23): 556 L(T(x,y \ z),y \ z,y) != u | z \ (y * (x * (y \ z))) = u. [para(154(a,1),247(a,1))]. given #799 (H,wt=23): 599 T(x * (y / z),L(z,y / z,x)) = L(z,y / z,x) \ (x * y). [para(398(a,1),115(a,1,1))]. given #800 (H,wt=23): 636 ((x \ 1) * y) * ((1 / (x \ 1)) * x) = (x \ (y / (x \ 1))) * x. [hyper(189,a,486,a(flip),b,118,a)]. given #801 (H,wt=19): 946 (x \ (y / (x \ 1))) * x = ((x \ 1) * y) * (x * x). [para(67(a,1),636(a,1,2,1)),flip(a)]. given #802 (H,wt=23): 639 R(R(x,y,z),u,w) * (y * z) != v5 | (R(x,u,w) * y) * z = v5. [para(49(a,1),204(a,1,1))]. given #803 (H,wt=23): 642 (x * y) * R(L(z,y,x),u,w) != v5 | x * (y * R(z,u,w)) = v5. [para(47(a,2),207(a,1,2))]. given #804 (H,wt=23): 647 (x * y) \ (x * (1 / (1 / y))) != z | L(K(y \ 1,y),y,x) = z. [para(474(a,1),355(a,1,2,2))]. given #805 (H,wt=23): 705 (x * y) * R((x * y) \ x,z,u) = x * (y * R(y \ 1,z,u)). [para(281(a,2),102(a,1,2))]. given #806 (H,wt=23): 709 (x * y) * L((x * y) \ x,z,u) = x * (y * L(y \ 1,z,u)). [para(282(a,1),102(a,1,2))]. given #807 (H,wt=23): 712 (x * y) * T((x * y) \ (x * z),u) = x * (y * T(y \ z,u)). [para(104(a,1),350(a,1,2,1))]. given #808 (H,wt=23): 713 (x * y) * T((x * y) \ z,u) = x * (y * T(y \ (x \ z),u)). [para(183(a,1),350(a,1,2,1))]. given #809 (H,wt=23): 718 T((x * y) / (z * y),u) * (z * y) = (T(x / z,u) * z) * y. [para(111(a,1),380(a,1,1,1))]. given #810 (H,wt=23): 719 (T((x / y) / z,u) * z) * y = T(x / (z * y),u) * (z * y). [para(187(a,1),380(a,1,1,1)),flip(a)]. given #811 (H,wt=23): 742 R(x,y,z) \ R(T(x,x \ 1),y,z) = a(R(x,y,z),1 / x,x). [para(631(a,1),702(a,1,2))]. given #812 (H,wt=23): 744 ((x / y) * ((y \ z) \ z)) / (x / y) = T(x / (x / y),y \ z). [hyper(76,a,220,a(flip),b,327,a)]. given #813 (H,wt=11): 952 T(1 / (1 / x),x \ 1) = x. [hyper(628,a,744,a)]. given #814 (H,wt=13): 954 T(1 / (1 / (1 / x)),x) = 1 / x. [para(69(a,1),952(a,1,2))]. given #815 (H,wt=15): 953 T(T(1 / (1 / x),y),x \ 1) = T(x,y). [para(952(a,1),41(a,1,1)),flip(a)]. given #816 (H,wt=15): 955 (1 / (1 / (1 / x))) * x = x * (1 / x). [para(954(a,1),113(a,1,2)),flip(a)]. given #817 (H,wt=18): 956 x * (1 / x) != y | (1 / (1 / (1 / x))) * x = y. [para(954(a,1),205(a,1,2))]. given #818 (H,wt=23): 762 ((x * (y / (y / z))) / x) \ ((y / z) * ((x * z) / x)) = y / z. [para(69(a,1),682(a,1,2,2,1,2))]. given #819 (H,wt=23): 781 ((1 / x) \ y) \ ((1 / x) \ T(y,x)) = K(x \ ((1 / x) \ y),x). [para(766(a,1),320(a,1,2))]. given #820 (H,wt=23): 788 T(x * ((y \ 1) \ 1),z) / ((y \ 1) \ 1) = y \ T(y * x,z). [hyper(189,a,729,a(flip),b,776,a)]. given #821 (H,wt=23): 803 ((x \ y) / (y / x)) / (1 / (y / x)) = T(1 / (1 / (y / x)),x). [para(115(a,1),797(a,1,1,1))]. given #822 (H,wt=23): 812 (x * y) * L(T(x,x * y),z,u) = x * (y * L(T(x,y),z,u)). [para(554(a,1),352(a,1,2,1))]. given #823 (H,wt=19): 959 x * (y * L(T(x,y),z,u)) = L(x,z,u) * (x * y). [hyper(303,a,812,a),flip(a)]. given #824 (H,wt=17): 960 L(x,y,z) * (x * u) = x * (L(x,y,z) * u). [para(159(a,1),959(a,1,2)),flip(a)]. given #825 (H,wt=15): 962 L(x,y,z) * (x \ 1) = x \ L(x,y,z). [hyper(299,a,960,a),flip(a)]. given #826 (H,wt=15): 964 x * (L(x,y,z) \ 1) = L(x,y,z) \ x. [hyper(75,a,62,a(flip),b,960,a),flip(a)]. given #827 (H,wt=17): 961 x \ (L(x,y,z) * u) = L(x,y,z) * (x \ u). [hyper(432,a,960,a)]. given #828 (H,wt=17): 963 L(x,y,z) \ (x * u) = x * (L(x,y,z) \ u). [hyper(75,a,89,a(flip),b,960,a)]. given #829 (H,wt=23): 814 (L(x,y,z) * u) * w != v5 * (u * w) | L(R(x,u,w),y,z) = v5. [para(381(a,1),23(a,1))]. given #830 (H,wt=23): 818 (1 / x) \ L(L(y,x,1 / x),z,u) != x * w | L(y,z,u) = w. [para(403(a,2),22(a,1))]. given #831 (H,wt=23): 826 x * ((x \ y) * T((x \ y) \ z,u)) = y * T(y \ (x * z),u). [para(582(a,1),344(a,1,2)),flip(a)]. given #832 (H,wt=19): 973 x * T(x \ (y * x),z) = y * (T(y,z) * (y \ x)). [para(326(a,1),826(a,1,2)),flip(a)]. given #833 (H,wt=15): 974 x * (T(x,y) * (x \ z)) = T(x,y) * z. [hyper(571,a,973,a),flip(a)]. given #834 (H,wt=15): 975 x \ (T(x,y) * z) = T(x,y) * (x \ z). [hyper(541,a,973,a)]. given #835 (H,wt=13): 984 x \ (T(x,y) \ x) = T(x,y) \ 1. [hyper(413,a,975,a),flip(a)]. given #836 (H,wt=13): 987 x * (T(x,y) \ 1) = T(x,y) \ x. [para(984(a,1),17(a,1,2))]. given #837 (H,wt=13): 988 (T(x,y) \ x) / (T(x,y) \ 1) = x. [para(984(a,1),67(a,1,2))]. given #838 (H,wt=13): 993 (1 / T(x,y)) * x = x / T(x,y). [hyper(76,a,988,a(flip),b,847,a(flip)),flip(a)]. given #839 (H,wt=15): 976 (T(x,y) * z) / (T(x,y) * (x \ z)) = x. [hyper(76,a,322,a(flip),b,973,a(flip))]. given #840 (H,wt=15): 978 T(x,y) * (x \ (T(x,y) \ z)) = x \ z. [hyper(75,a,17,a(flip),b,974,a),flip(a)]. given #841 (H,wt=15): 979 T(x,y) * (x * z) = x * (T(x,y) * z). [para(16(a,1),974(a,1,2,2)),flip(a)]. given #842 (H,wt=15): 995 T(1 / T(x,y),x) = x \ (x / T(x,y)). [hyper(147,a,993,a,b,17,a)]. given #843 (H,wt=15): 997 T(x,y) \ (x \ z) = x \ (T(x,y) \ z). [hyper(80,a,978,a)]. given #844 (H,wt=15): 998 T(x,y) * (x * (T(x,y) \ z)) = x * z. [hyper(189,a,89,a(flip),b,979,a)]. given #845 (H,wt=13): 1008 x * (T(x,y) \ y) = T(y,T(x,y)). [hyper(292,a,998,a),flip(a)]. given #846 (H,wt=15): 1000 T(x,y) \ (x * z) = x * (T(x,y) \ z). [hyper(75,a,89,a(flip),b,979,a)]. given #847 (H,wt=16): 989 x * (T(x,y) \ 1) != z | T(x,y) \ x = z. [para(984(a,1),203(a,1,2)),flip(b)]. given #848 (H,wt=17): 981 x * (T(x,y) * T(z,x)) = T(x,y) * (z * x). [para(35(a,2),974(a,1,2,2))]. given #849 (H,wt=17): 994 (T(x,y) \ T(x,z)) / (T(x,y) \ 1) = T(x,z). [para(988(a,1),786(a,2,1))]. given #850 (H,wt=17): 1013 (x / y) * ((y \ x) \ y) = T(y,T(x / y,y)). [para(115(a,1),1008(a,1,2,1))]. given #851 (H,wt=15): 1019 (x / y) * ((y \ x) \ y) = T(y,y \ x). [para(115(a,1),1013(a,2,2))]. given #852 (H,wt=17): 1014 T(T(x,y * x) * y,x) = T(x,y) * T(y,x). [hyper(147,a,619,a,b,981,a)]. given #853 (H,wt=17): 1017 (1 / T(x,y)) * T(x,z) = T(x,z) / T(x,y). [hyper(76,a,994,a(flip),b,847,a(flip)),flip(a)]. given #854 (H,wt=17): 1018 T(x,y) * (T(x,z) \ 1) = T(x,z) \ T(x,y). [para(994(a,1),19(a,1,1))]. given #855 (H,wt=17): 1020 ((x * y) / x) * (y \ x) = T(x,x \ (x * y)). [para(16(a,1),1019(a,1,2,1))]. given #856 (H,wt=13): 1027 T(x,y) = ((x * y) / x) * (y \ x). [para(16(a,1),1020(a,2,2)),flip(a)]. given #857 (H,wt=13): 1028 T(x,y) / (y \ x) = (x * y) / x. [hyper(76,a,1027,a,b,xx)]. given #858 (H,wt=13): 1030 ((x * y) / x) \ T(x,y) = y \ x. [hyper(75,a,1027,a,b,xx)]. given #859 (H,wt=15): 1032 ((x * (x / y)) / x) * y = T(x,x / y). [para(69(a,1),1027(a,2,2)),flip(a)]. given #860 (H,wt=15): 1039 x * ((y * (x \ y)) / y) = T(y,y / x). [hyper(761,a,1032,a)]. given #861 (H,wt=15): 1040 x \ T(y,y / x) = (y * (x \ y)) / y. [hyper(75,a,1032,a(flip),b,680,a(flip))]. given #862 (H,wt=17): 1023 (T(x,y) / T(x,z)) / T(x,y) = 1 / T(x,z). [hyper(88,a,1017,a)]. given #863 (H,wt=17): 1029 T((x * y) / x,y \ x) = (y \ x) \ T(x,y). [hyper(75,a,1027,a,b,113,a),flip(a)]. given #864 (H,wt=15): 1046 T((x \ y) \ T(y,x),y) = T(x,x \ y). [para(1029(a,1),176(a,1,1))]. given #865 (H,wt=15): 1048 T((x \ y) \ T(y,x),y) = (x \ y) \ y. [hyper(189,a,114,a(flip),b,1046,a)]. given #866 (H,wt=17): 1031 (x / (x / y)) * (y \ (x / y)) = T(x / y,y). [para(19(a,1),1027(a,2,1,1)),flip(a)]. given #867 (H,wt=17): 1035 ((x * y) * x) / (x * y) = T(x * y,x) / y. [para(16(a,1),1028(a,1,2)),flip(a)]. given #868 (H,wt=13): 1050 T(T(x * y,x) / y,x * y) = x. [para(1035(a,1),142(a,1,1))]. given #869 (H,wt=16): 1051 T(T(x * y,x) / y,y) = R(x,y,T(x,y)). [para(1035(a,1),703(a,1,1))]. given #870 (H,wt=14): 1053 x \ T(y * x,y) = R(y,x,T(y,x)). [hyper(307,a,1051,a)]. given #871 (H,wt=11): 1056 L(R(x,y,T(x,y)),y,x) = x. [para(1053(a,1),360(a,1,1))]. given #872 (H,wt=14): 1054 x * R(y,x,T(y,x)) = T(y * x,y). [para(1051(a,1),146(a,1,2))]. given #873 (H,wt=17): 1042 (x / y) * ((x * y) / x) = T(x,x / (x / y)). [para(69(a,1),1039(a,1,2,1,2))]. given #874 (H,wt=17): 1055 R(x,y,T(x,y)) != z | y \ T(x * y,x) = z. [para(1051(a,1),307(a,1))]. given #875 (H,wt=17): 1057 T(x,x / (x / T(y,x))) = (x / T(y,x)) * y. [para(143(a,1),1042(a,1,2)),flip(a)]. given #876 (H,wt=18): 980 T(x,y) * z != x * u | T(x,y) * (x \ z) = u. [para(974(a,1),22(a,1))]. given #877 (H,wt=18): 983 x \ (T(x,y) * z) != u | T(x,y) * (x \ z) = u. [para(974(a,1),237(a,1,2)),flip(b)]. given #878 (H,wt=18): 996 x / T(x,y) != x * z | T(1 / T(x,y),x) = z. [para(993(a,1),148(a,2)),flip(a)]. given #879 (H,wt=18): 1001 T(x,y) * (x * z) != x * u | T(x,y) * z = u. [para(979(a,2),22(a,1))]. given #880 (H,wt=18): 1006 x * (T(x,y) \ (x \ z)) != u | T(x,y) \ z = u. [para(997(a,2),203(a,1,2)),flip(b)]. given #881 (H,wt=18): 1012 T(x,y) \ (x * z) != u | x * (T(x,y) \ z) = u. [para(998(a,1),237(a,1,2)),flip(b)]. given #882 (H,wt=16): 1058 T(x,y) \ x != z | x * (T(x,y) \ 1) = z. [para(15(a,1),1012(a,1,2))]. given #883 (H,wt=16): 1060 T(x,T(y,x)) != z | y * (T(y,x) \ x) = z. [para(157(a,1),1012(a,1))]. given #884 (H,wt=18): 1041 T(x,x / y) != z | y * ((x * (y \ x)) / x) = z. [para(1032(a,1),761(a,1))]. given #885 (H,wt=18): 1044 x * ((y * (x \ y)) / y) != z | T(y,y / x) = z. [para(1040(a,1),203(a,1,2)),flip(b)]. given #886 (H,wt=19): 977 x \ (T(x,y) * T(x,z)) = T(x,z) * (x \ T(x,y)). [hyper(75,a,324,a,b,974,a)]. given #887 (H,wt=19): 982 (x / y) * (T(x / y,z) * y) = T(x / y,z) * x. [para(69(a,1),974(a,1,2,2))]. given #888 (H,wt=19): 985 x \ (T(x,x \ y) * z) = ((x \ y) \ y) * (x \ z). [hyper(189,a,219,a(flip),b,975,a)]. given #889 (H,wt=19): 992 (T(x,y) \ x) / T(x,T(x,y) \ 1) = T(x,y) \ 1. [hyper(76,a,987,a(flip),b,113,a)]. given #890 (H,wt=19): 1009 T(x,y) \ K(x,1 / x) = x * (T(x,y) \ (1 / x)). [hyper(75,a,168,a,b,998,a)]. given #891 (H,wt=19): 1011 x * (T(x,y) \ (T(x,y) / x)) = K(x,T(x,y) / x). [hyper(20,a,214,a,b,998,a)]. given #892 (H,wt=17): 1064 x * T(1 / x,T(x,y)) = K(x,T(x,y) / x). [para(794(a,1),1011(a,1,2))]. given #893 (H,wt=19): 1021 T(x,1 / T(x,y)) / T(x,y) = x * (1 / T(x,y)). [hyper(205,a,1017,a),flip(a)]. given #894 (H,wt=19): 1049 (x * y) / ((x * y) / x) = y / (x \ ((x * y) / x)). [hyper(76,a,142,a(flip),b,1031,a),flip(a)]. given #895 (H,wt=19): 1062 (x / y) * (y * T(y \ x,z)) = T(x / y,z) * x. [para(323(a,1),982(a,1,2))]. given #896 (H,wt=19): 1063 x \ (((x \ y) \ y) * z) = ((x \ y) \ y) * (x \ z). [para(114(a,1),985(a,1,2,1))]. given #897 (H,wt=19): 1065 T(x,T(x,y) \ 1) / T(x,y) = x * (1 / T(x,y)). [para(853(a,1),1021(a,1,1))]. given #898 (H,wt=20): 990 x * (T(x,y) \ 1) != z * u | (T(x,y) \ x) / u = z. [para(984(a,1),298(a,1,2))]. given #899 (H,wt=20): 991 (T(x,y) \ x) / (T(x,y) \ 1) != z * u | x / u = z. [para(984(a,1),409(a,1,2))]. given #900 (H,wt=20): 1016 T(x,y) * (z * x) != x * u | T(x,y) * T(z,x) = u. [para(981(a,1),22(a,1))]. given #901 (H,wt=20): 1036 ((x * y) / x) * (y \ x) != z * u | T(x,y) / u = z. [para(1028(a,1),297(a,1,1))]. given #902 (H,wt=20): 1037 ((x * y) / x) * (y \ x) != z * u | z \ T(x,y) = u. [para(1028(a,1),300(a,1,1))]. given #903 (H,wt=20): 1043 (x * y) * L((x \ y) / y,y,x) = T(y,y / (x * y)). [para(675(a,2),1039(a,1,2))]. given #904 (H,wt=17): 1069 x * (y * ((x \ y) / y)) = T(y,y / (x * y)). [hyper(207,a,1043,a)]. given #905 (H,wt=20): 1047 T((x \ y) \ T(y,x),x * y) = L(T(x,x \ y),y,x). [para(1029(a,1),736(a,1,1))]. given #906 (H,wt=20): 1070 T(x,x / (y * x)) != z | y * (x * ((y \ x) / x)) = z. [para(1043(a,1),207(a,1))]. given #907 (H,wt=21): 972 x * ((x \ y) * T((x \ y) \ 1,z)) = y * T(y \ x,z). [para(15(a,1),826(a,2,2,1,2))]. given #908 (H,wt=19): 1072 (x \ y) * T((x \ y) \ 1,y) = x \ ((y \ x) * y). [hyper(75,a,113,a(flip),b,972,a),flip(a)]. given #909 (H,wt=19): 1074 x * T(x \ y,z) = y * K(z \ (z / (y \ x)),z). [para(886(a,2),972(a,1,2)),flip(a)]. given #910 (H,wt=19): 1075 K(x \ (x / (y \ z)),x) = y \ (z * T(z \ y,x)). [hyper(426,a,1074,a),flip(a)]. given #911 (H,wt=21): 1002 (x / y) * (T(x / y,y) * z) = (y \ x) * ((x / y) * z). [para(115(a,1),979(a,1,1)),flip(a)]. given #912 (H,wt=19): 1083 (x / y) * ((y \ x) * z) = (y \ x) * ((x / y) * z). [para(115(a,1),1002(a,1,2,1))]. given #913 (H,wt=17): 1088 (x / y) * ((y \ x) \ 1) = (y \ x) \ (x / y). [hyper(299,a,1083,a),flip(a)]. given #914 (H,wt=15): 1089 ((x \ 1) \ 1) / x = (x \ 1) \ (1 / x). [hyper(189,a,802,a(flip),b,1088,a(flip)),flip(a)]. given #915 (H,wt=13): 1090 (x \ 1) \ (1 / x) = K(x,1 / x). [hyper(495,a,1089,a),flip(a)]. given #916 (H,wt=13): 1091 (x \ 1) * K(x,1 / x) = 1 / x. [para(1090(a,1),17(a,1,2))]. given #917 (H,wt=13): 1092 (1 / x) / K(x,1 / x) = x \ 1. [para(1090(a,1),67(a,1,2))]. given #918 (H,wt=12): 1093 R(1 / x,x,1 / x) = x \ 1. [hyper(539,a,1092,a)]. given #919 (H,wt=17): 1094 R(x / (y * x),y,1 / y) = R(y \ 1,y,x). [para(1093(a,1),289(a,1,1)),flip(a)]. given #920 (H,wt=19): 1086 (x \ y) \ ((y / x) * z) = (y / x) * ((x \ y) \ z). [hyper(432,a,1083,a)]. given #921 (H,wt=19): 1087 (x / y) * ((y \ x) \ ((x / y) \ z)) = (y \ x) \ z. [hyper(431,a,1083,a),flip(a)]. given #922 (H,wt=21): 1022 T(x,y) \ (T(x,y) / T(x,z)) = T(1 / T(x,z),T(x,y)). [hyper(147,a,1017,a,b,17,a),flip(a)]. given #923 (H,wt=21): 1071 (x \ y) * T((x \ y) \ 1,z) = x \ (y * T(y \ x,z)). [hyper(80,a,972,a),flip(a)]. given #924 (H,wt=21): 1073 x * T(x \ y,y \ x) = y * K((y \ x) \ 1,y \ x). [para(229(a,1),972(a,1,2)),flip(a)]. given #925 (H,wt=21): 1076 T(x * y,z) / y = x * K(z \ (z / (x \ (1 / y))),z). [hyper(189,a,778,a(flip),b,1074,a(flip)),flip(a)]. given #926 (H,wt=21): 1078 (x * y) * K(z \ (z / ((x * y) \ x)),z) = x * T(y,z). [para(16(a,1),1074(a,1,2,1)),flip(a)]. given #927 (H,wt=21): 1082 K(x \ (x / (y \ (y / z))),x) = y \ ((y / z) * T(z,x)). [para(69(a,1),1075(a,2,2,2,1))]. given #928 (H,wt=22): 986 L((T(x,y) * (x \ y)) / y,y,x) = (y * K(T(x,y),y)) / y. [para(975(a,1),743(a,1,1,1))]. given #929 (H,wt=22): 1003 (x * y) * z != x * (T(x,u) * y) | T(T(x,u),x * y) = z. [para(979(a,1),148(a,2))]. given #930 (H,wt=22): 1007 T(x,y) * (x \ (T(x,y) \ z)) != u * w | (x \ z) / w = u. [para(997(a,1),298(a,1,2))]. given #931 (H,wt=22): 1010 x * (T(x,y) \ ((x \ T(x,y)) * z)) = L(z,x \ T(x,y),x). [hyper(20,a,344,a,b,998,a)]. given #932 (H,wt=22): 1015 T(x,y) * T(T(x,y) \ x,x) = L(x,T(x,y) \ x,T(x,y)). [hyper(20,a,344,a,b,981,a)]. given #933 (H,wt=22): 1045 x * ((y * (x \ y)) / y) != z * u | z \ T(y,y / x) = u. [para(1040(a,1),301(a,1,2))]. given #934 (H,wt=22): 1059 T(x,y) \ K(x,1 / x) != z | x * (T(x,y) \ (1 / x)) = z. [para(168(a,2),1012(a,1,2))]. given #935 (H,wt=22): 1061 T(x,y) * (x \ T(x,z)) != u | T(x,z) * (x \ T(x,y)) = u. [para(977(a,1),983(a,1))]. given #936 (H,wt=22): 1066 T(x / y,z) * x != (x / y) * u | y * T(y \ x,z) = u. [para(1062(a,1),22(a,1))]. given #937 (H,wt=22): 1067 T(x / y,z) * u != (x / y) * (y * T(y \ x,z)) | u = x. [para(1062(a,2),22(a,2))]. given #938 (H,wt=22): 1068 ((x * (x / y)) / x) * y != z * u | z \ T(x,x / y) = u. [para(69(a,1),1037(a,1,2))]. given #939 (H,wt=23): 833 K(x \ 1,x) * y != (x \ 1) * z | L(x \ z,x,x \ 1) = y. [para(813(a,1),22(a,1)),flip(a)]. given #940 (H,wt=23): 879 R(x,y,z) / x != R(x,y,z) * u | T(1 / x,R(x,y,z)) = u. [para(875(a,1),148(a,2)),flip(a)]. given #941 (H,wt=23): 918 (x \ T(x,y)) * ((x \ 1) \ z) = z * T(z \ ((x \ 1) \ z),y). [para(770(a,1),909(a,1,1))]. given #942 (H,wt=23): 932 (x / y) * (y * L(y \ 1,z,u)) = x * L(x \ (x / y),z,u). [para(279(a,1),580(a,1,2,1)),flip(a)]. given #943 (H,wt=23): 939 (1 / x) \ ((y * ((1 / x) * z)) / y) = x * ((y * (x \ z)) / y). [hyper(75,a,693,a(flip),b,169,a)]. given #944 (H,wt=21): 1099 (1 / x) \ ((y * (1 / x)) / y) = x * ((y * (x \ 1)) / y). [para(15(a,1),939(a,1,2,1,2))]. given #945 (H,wt=23): 951 (x * y) * T((x * y) \ (z * y),u) = (T(z / x,u) * x) * y. [hyper(544,a,718,a)]. given #946 (H,wt=23): 971 x \ (y * T(y \ (x * z),u)) = (x \ y) * T((x \ y) \ z,u). [hyper(80,a,826,a)]. given #947 (H,wt=21): 1101 (x \ y) * T((x \ y) \ T(y,x),z) = x \ (y * T(x,z)). [para(144(a,1),971(a,1,2,2,1)),flip(a)]. given #948 (H,wt=23): 999 T(T(x,y),x * (T(x,y) \ z)) = (x * (T(x,y) \ z)) \ (x * z). [hyper(147,a,979,a,b,211,a)]. given #949 (H,wt=23): 1005 T(x,y) * T(T(x,y) \ 1,x) = (x \ (x / T(x,y))) * T(x,y). [para(995(a,1),323(a,1,1)),flip(a)]. given #950 (H,wt=23): 1025 T(x / y,z) \ T(x / y,y) = (y \ x) * (T(x / y,z) \ 1). [para(115(a,1),1018(a,1,1)),flip(a)]. given #951 (H,wt=21): 1102 (x \ y) * (T(y / x,z) \ 1) = T(y / x,z) \ (x \ y). [para(115(a,1),1025(a,1,2)),flip(a)]. given #952 (H,wt=23): 1077 (x \ y) * K(z \ (z / ((x \ y) \ (x \ 1))),z) = x \ T(y,z). [hyper(189,a,771,a(flip),b,1074,a(flip))]. given #953 (H,wt=23): 1084 (x \ (x * y)) * (((x * y) / x) * z) = ((x * y) / x) * (y * z). [para(142(a,1),1002(a,1,2,1)),flip(a)]. given #954 (H,wt=19): 1104 ((x * y) / x) * (y * z) = y * (((x * y) / x) * z). [para(16(a,1),1084(a,1,1)),flip(a)]. given #955 (H,wt=17): 1106 ((x * y) / x) * (y \ 1) = y \ ((x * y) / x). [hyper(299,a,1104,a),flip(a)]. given #956 (H,wt=17): 1108 (x \ ((y * x) / y)) / (x \ 1) = (y * x) / y. [hyper(88,a,1106,a)]. given #957 (H,wt=17): 1110 (1 / x) * ((y * x) / y) = ((y * x) / y) / x. [hyper(76,a,1108,a(flip),b,847,a(flip)),flip(a)]. given #958 (H,wt=19): 1105 x \ (((y * x) / y) * z) = ((y * x) / y) * (x \ z). [hyper(432,a,1104,a)]. given #959 (H,wt=19): 1107 ((x * y) / x) \ (y * z) = y * (((x * y) / x) \ z). [hyper(75,a,89,a(flip),b,1104,a)]. given #960 (H,wt=21): 1111 ((x * (y \ 1)) / x) / (y \ 1) = y * ((x * (y \ 1)) / x). [hyper(456,a,1110,a),flip(a)]. given #961 (H,wt=23): 1085 ((x / y) \ x) * ((x / (x / y)) * z) = (x / (x / y)) * (y * z). [para(164(a,1),1002(a,1,2,1)),flip(a)]. given #962 (H,wt=19): 1113 (x / (x / y)) * (y * z) = y * ((x / (x / y)) * z). [hyper(455,a,1085,a),flip(a)]. given #963 (H,wt=19): 1115 (x / (x / y)) \ (y * z) = y * ((x / (x / y)) \ z). [hyper(75,a,89,a(flip),b,1113,a)]. given #964 (H,wt=23): 1097 (x / y) * K(z \ (z / ((x / y) \ (1 / y))),z) = T(x,z) / y. [para(19(a,1),1076(a,1,1,1)),flip(a)]. given #965 (H,wt=23): 1100 (x * y) * T((x * y) \ (z * y),u) = (x * T(x \ z,u)) * y. [para(323(a,1),951(a,2,1))]. given #966 (H,wt=21): 1118 x * T(x \ (x \ (y * x)),z) = T(x * T(x \ y,z),x). [hyper(147,a,1100,a(flip),b,713,a(flip)),flip(a)]. given #967 (H,wt=19): 1121 T(x * T(x \ y,z),x) = x * T(x \ T(y,x),z). [para(35(a,2),1118(a,1,2,1,2)),flip(a)]. given #968 (H,wt=19): 1122 x \ T(x * T(x \ y,z),x) = T(x \ T(y,x),z). [hyper(75,a,1121,a,b,xx)]. given #969 (H,wt=19): 1123 x \ T(x * T(y,z),x) = T(x \ T(x * y,x),z). [para(16(a,1),1122(a,1,2,1,2,1))]. given #970 (H,wt=21): 1119 (x * y) * T((x * y) \ y,z) = (x * T(x \ 1,z)) * y. [para(14(a,1),1100(a,1,2,1,2))]. given #971 (H,wt=11): 1126 T(x,x * T(x \ 1,y)) = x. [hyper(147,a,569,a(flip),b,1119,a(flip))]. given #972 (H,wt=9): 1128 T(x,(x \ 1) * x) = x. [para(113(a,1),1126(a,1,2))]. given #973 (H,wt=9): 1129 T(x,K(x \ 1,x)) = x. [para(229(a,1),1126(a,1,2))]. given #974 (H,wt=12): 1135 R(x,x \ 1,x) = T(x,x \ 1). [para(1128(a,1),615(a,1,1))]. given #975 (H,wt=12): 1137 R(x,x \ 1,x) = (x \ 1) \ 1. [hyper(189,a,114,a(flip),b,1135,a)]. given #976 (H,wt=13): 1133 T(x \ 1,x \ T(x,y)) = x \ 1. [para(770(a,1),1126(a,1,2))]. given #977 (H,wt=13): 1134 T(1 / x,T(x,y) / x) = 1 / x. [para(792(a,1),1126(a,1,2))]. given #978 (H,wt=13): 1139 x / K(x \ 1,x) = (x \ 1) \ 1. [hyper(189,a,401,a,b,1137,a(flip)),flip(a)]. given #979 (H,wt=13): 1142 ((x \ 1) \ 1) * K(x \ 1,x) = x. [para(1139(a,1),19(a,1,1))]. given #980 (H,wt=13): 1143 T(x,x \ 1) * K(x \ 1,x) = x. [hyper(465,a,1142,a)]. given #981 (H,wt=15): 1132 T(x \ 1,T(x,y) * (x \ 1)) = x \ 1. [para(326(a,1),1126(a,1,2))]. given #982 (H,wt=15): 1136 K(x \ 1,x) * x = x * K(x \ 1,x). [para(1129(a,1),113(a,1,2))]. given #983 (H,wt=13): 1145 K(x \ 1,x) * x = 1 / (1 / x). [hyper(189,a,474,a(flip),b,1136,a)]. given #984 (H,wt=15): 1140 T(x \ T(x,y),x \ 1) = x \ T(x,y). [hyper(38,a,1133,a)]. given #985 (H,wt=16): 1138 R(T(x,y),x \ 1,x) = T(T(x,x \ 1),y). [para(1135(a,1),45(a,2,1))]. given #986 (H,wt=18): 1144 R(x \ 1,T(x,y),x \ 1) = T(x \ 1,T(x,y)). [para(1132(a,1),615(a,1,1))]. given #987 (H,wt=20): 1146 T((x * y) \ (y * x),y \ 1) = L(y \ T(y,x),y,x). [para(1140(a,1),585(a,1,1)),flip(a)]. given #988 (H,wt=15): 1147 K(x,y) = T((y * x) \ (x * y),x \ 1). [hyper(189,a,584,a,b,1146,a),flip(a)]. given #989 (H,wt=11): 1148 T(K(x,y),x \ 1) = K(x,y). [para(29(a,2),1147(a,2,1)),flip(a)]. given #990 (H,wt=11): 1149 T(x \ 1,K(x,y)) = x \ 1. [hyper(38,a,1148,a)]. given #991 (H,wt=16): 1150 T((x * y) \ x,K(y,z)) = L(y \ 1,y,x). [para(1149(a,1),280(a,2,1))]. given #992 (H,wt=15): 1151 T((x * y) \ x,K(y,z)) = (x * y) \ x. [hyper(189,a,140,a(flip),b,1150,a)]. given #993 (H,wt=13): 1152 T(K(x,y),(z * x) \ z) = K(x,y). [hyper(38,a,1151,a)]. given #994 (H,wt=13): 1153 T(K(x \ 1,y),x) = K(x \ 1,y). [para(121(a,1),1152(a,1,2))]. given #995 (H,wt=15): 1155 K(x \ 1,y) * x = x * K(x \ 1,y). [para(1153(a,1),113(a,1,2)),flip(a)]. given #996 (H,wt=21): 1125 x * (y * T(y \ (x \ y),z)) = (x * T(x \ 1,z)) * y. [hyper(189,a,713,a(flip),b,1119,a(flip)),flip(a)]. given #997 (H,wt=19): 1156 (x * T(x \ 1,y)) * y = x * ((y \ (x \ y)) * y). [para(113(a,1),1125(a,1,2)),flip(a)]. given #998 (H,wt=21): 1141 T((x * (1 / y)) / x,T(y,z) / y) = (x * (1 / y)) / x. [para(1134(a,1),330(a,1,1,2)),flip(a)]. given #999 (H,wt=21): 1158 x * T(y * T(y \ 1,x),x) = y * ((x \ (y \ x)) * x). [hyper(206,a,1156,a)]. given #1000 (H,wt=23): 1117 x * (y * T(y \ (x \ (z * y)),u)) = (x * T(x \ z,u)) * y. [hyper(189,a,713,a(flip),b,1100,a(flip)),flip(a)]. given #1001 (H,wt=23): 1160 (x * T(x \ (y / z),u)) * z = x * (z * T(z \ (x \ y),u)). [para(19(a,1),1117(a,1,2,2,1,2,2)),flip(a)]. given #1002 (H,wt=21): 1162 x * (y * T(y \ (x \ z),x)) = ((x \ (z / y)) * x) * y. [para(113(a,1),1160(a,1,1)),flip(a)]. given #1003 (H,wt=19): 1167 ((x \ (x / y)) * x) * y = x * (y * T(y \ 1,x)). [para(59(a,1),1162(a,1,2,2,1,2)),flip(a)]. given #1004 (H,wt=21): 1165 (x * y) * T((x * y) \ z,x) = ((x \ (z / y)) * x) * y. [hyper(189,a,713,a,b,1162,a(flip)),flip(a)]. given #1005 (H,wt=21): 1166 ((x \ ((x * y) / z)) * x) * z = x * (z * T(z \ y,x)). [para(16(a,1),1162(a,1,2,2,1,2)),flip(a)]. given #1006 (H,wt=19): 1170 x * (x * T(x \ T(y,x),x)) = ((x \ y) * x) * x. [para(143(a,1),1166(a,1,1,1,2)),flip(a)]. given #1007 (H,wt=17): 1171 x * ((x \ T(y,x)) * x) = ((x \ y) * x) * x. [para(113(a,1),1170(a,1,2))]. given #1008 (H,wt=15): 1172 T((x \ y) * x,x) = (x \ T(y,x)) * x. [hyper(148,a,1171,a)]. given #1009 (H,wt=15): 1174 x * (T((x \ y) * x,x) / x) = T(y,x). [para(1172(a,2),66(a,1,2,1))]. given #1010 (H,wt=15): 1175 x * (T(y * x,x) / x) = T(x * y,x). [para(16(a,1),1174(a,1,2,1,1,1))]. given #1011 (H,wt=15): 1176 T(x * (y / x),x) = x * (T(y,x) / x). [para(70(a,1),1174(a,1,2,1,1)),flip(a)]. given #1012 (H,wt=15): 1178 x \ T(x * (y / x),x) = T(y,x) / x. [hyper(75,a,1176,a,b,xx)]. given #1013 (H,wt=19): 1173 T(x,y) \ T((y \ x) * y,y) = K(y \ T(x,y),y). [hyper(75,a,1172,a,b,213,a)]. given #1014 (H,wt=19): 1177 T(x * ((1 / x) * y),x) = x * ((1 / x) * T(y,x)). [para(777(a,1),1175(a,1,2)),flip(a)]. given #1015 (H,wt=19): 1182 x \ T(x * T(y / x,z),x) = T(T(y,x) / x,z). [para(1178(a,1),1123(a,2,1))]. given #1016 (H,wt=19): 1185 T(x * T(y / x,z),x) = x * T(T(y,x) / x,z). [para(1182(a,1),17(a,1,2)),flip(a)]. given #1017 (H,wt=17): 1186 T(x * T(1 / x,y),x) = x * T(1 / x,y). [para(191(a,1),1185(a,2,2,1,1))]. given #1018 (H,wt=21): 1168 ((x \ (y / y)) * x) * y = x * (K(x \ 1,x) * (x \ y)). [para(910(a,2),1162(a,1,2)),flip(a)]. given #1019 (H,wt=19): 1188 x * (K(x \ 1,x) * (x \ y)) = ((x \ 1) * x) * y. [para(64(a,1),1168(a,1,1,1,2)),flip(a)]. given #1020 (H,wt=19): 1190 x * (K(x \ 1,x) * (x \ y)) = K(x \ 1,x) * y. [para(165(a,2),1188(a,2,1))]. given #1021 (H,wt=19): 1191 K(x \ 1,x) * (x * y) = x * (K(x \ 1,x) * y). [para(16(a,1),1190(a,1,2,2)),flip(a)]. given #1022 (H,wt=21): 1183 T(x * y,x) \ T(y * x,x) = K(x \ T(x * y,x),x). [para(16(a,1),1173(a,1,2,1,1))]. given #1023 (H,wt=21): 1192 x * (K(x \ 1,x) * T(y,x)) = K(x \ 1,x) * (y * x). [para(35(a,2),1190(a,1,2,2))]. given #1024 (H,wt=22): 1179 x * (T(y,x) / x) != z * u | z \ T(x * (y / x),x) = u. [para(1178(a,1),301(a,1,2))]. given #1025 (H,wt=22): 1187 x \ T(x * T(y / x,z),x) != u | T(T(y,x) / x,z) = u. [para(1185(a,2),237(a,1,2)),flip(b)]. given #1026 (H,wt=23): 1163 (T((x / y) / z,u) * z) * y = z * (y * T(y \ (z \ x),u)). [para(323(a,2),1160(a,1,1))]. given #1027 (H,wt=23): 1164 ((x / y) * K(y \ 1,y)) * y = x * (y * T(y \ (x \ x),y)). [para(842(a,2),1160(a,1,1))]. given #1028 (H,wt=21): 1194 ((x / y) * K(y \ 1,y)) * y = x * (y * T(y \ 1,y)). [para(59(a,1),1164(a,2,2,2,1,2))]. given #1029 (H,wt=19): 1196 ((x / y) * K(y \ 1,y)) * y = x * ((y \ 1) * y). [para(113(a,1),1194(a,2,2))]. given #1030 (H,wt=13): 1198 (1 / x) * K(x \ 1,x) = x \ 1. [hyper(21,a,14,a(flip),b,1196,a)]. given #1031 (H,wt=13): 1200 (1 / x) * ((x \ 1) * x) = x \ 1. [para(165(a,1),1198(a,1,2))]. given #1032 (H,wt=16): 1201 (1 / x) \ (x \ 1) != y | K(x \ 1,x) = y. [para(1198(a,1),237(a,1,2)),flip(b)]. given #1033 (H,wt=19): 1197 ((x / y) * K(y \ 1,y)) * y = x * K(y \ 1,y). [para(229(a,1),1194(a,2,2))]. given #1034 (H,wt=19): 1202 (1 / x) * (L(x \ 1,y,z) * x) = L(x \ 1,y,z). [para(1200(a,1),864(a,1,1)),flip(a)]. given #1035 (H,wt=18): 1203 (x * y) \ x = (1 / y) * (L(y \ 1,y,x) * y). [hyper(189,a,140,a(flip),b,1202,a),flip(a)]. given #1036 (H,wt=17): 1205 (1 / x) * (((y * x) \ y) * x) = (y * x) \ y. [para(140(a,1),1203(a,2,2,1)),flip(a)]. given #1037 (H,wt=17): 1206 (1 / x) \ ((y * x) \ y) = ((y * x) \ y) * x. [hyper(80,a,1205,a)]. given #1038 (H,wt=23): 1169 x * ((y \ x) * T((y \ x) \ 1,x)) = ((x \ y) * x) * (y \ x). [para(67(a,1),1167(a,1,1,1,2)),flip(a)]. given #1039 (H,wt=19): 1208 ((x \ y) * x) * (y \ x) = x * (y \ ((x \ y) * x)). [para(1072(a,1),1169(a,1,2)),flip(a)]. given #1040 (H,wt=17): 1209 ((x \ y) * x) * (y \ x) = x * K(x \ y,x). [para(96(a,1),1208(a,2,2))]. given #1041 (H,wt=19): 1210 (x * y) * ((y * x) \ y) = y * K(y \ (y * x),y). [para(16(a,1),1209(a,1,1,1))]. given #1042 (H,wt=15): 1211 (x * y) * ((y * x) \ y) = y * K(x,y). [para(16(a,1),1210(a,2,2,1))]. given #1043 (H,wt=11): 1213 K(x \ (x * y),x) = K(y,x). [hyper(20,a,1210,a(flip),b,1211,a(flip)),flip(a)]. given #1044 (H,wt=11): 1215 K(x \ (x * y),z) = K(y,z). [para(60(a,1),1213(a,1,1)),flip(a)]. given #1045 (H,wt=11): 1216 K((x / y) \ x,z) = K(y,z). [para(19(a,1),1215(a,1,1,2))]. given #1046 (H,wt=16): 1214 (x * y) * L(x \ 1,x,y) = y * K(x,y). [para(140(a,2),1211(a,1,2))]. given #1047 (H,wt=22): 1212 (x * y) * ((y * x) \ y) != y * z | K(y \ (y * x),y) = z. [para(1210(a,2),22(a,1))]. given #1048 (H,wt=23): 1180 x \ T(x * T((x * y) / x,z),x) = T(x * T(y,z),x) / x. [para(330(a,1),1178(a,1,2,1,2))]. given #1049 (H,wt=19): 1218 T(x * T(y,z),x) / x = T(T(x * y,x) / x,z). [hyper(1187,a,1180,a),flip(a)]. given #1050 (H,wt=24): 151 (x * (y * T(z,x * y))) \ (z * (x * y)) = a(x,y,T(z,x * y)). [para(113(a,1),27(a,2,2)),flip(a)]. given #1051 (H,wt=23): 1219 (L(x,y,z) * (z * y)) \ (x * (z * y)) = a(z,y,T(x,z * y)). [para(498(a,1),151(a,1,1))]. given #1052 (H,wt=24): 400 R(x * y,L(z,y,x),u) \ ((x * (y * z)) * u) = L(z,y,x) * u. [para(102(a,1),133(a,1,2,1))]. given #1053 (H,wt=24): 608 T((((x * y) / x) \ z) \ z,x) != u | T(y,((x * y) / x) \ z) = u. [para(114(a,1),548(a,1,1))]. given #1054 (H,wt=24): 665 (x * R(x \ y,z,u)) * (x \ 1) = R(R(y / x,z,u),x,x \ 1). [para(510(a,1),369(a,1,1))]. given #1055 (H,wt=21): 1221 R(x * (y \ 1),z,u) / (y \ 1) = y * R(y \ x,z,u). [hyper(76,a,464,a(flip),b,665,a)]. given #1056 (H,wt=21): 1222 x * R(x \ (y / (x \ 1)),z,u) = R(y,z,u) / (x \ 1). [para(19(a,1),1221(a,1,1,1)),flip(a)]. given #1057 (H,wt=24): 694 L((x * ((y \ z) \ u)) / x,y \ z,y) = (x * (z \ (y * u))) / x. [para(359(a,1),662(a,2,1,2))]. given #1058 (H,wt=24): 697 R((x * y) / x,z,u) * x != w * v5 | (x * R(y,z,u)) / v5 = w. [para(670(a,2),297(a,1,1))]. given #1059 (H,wt=24): 711 (x \ y) * R((x \ y) \ y,z,u) != w | R(x,z,u) * (x \ y) = w. [para(114(a,1),304(a,1,2,1))]. given #1060 (H,wt=24): 716 L(R(T(x,y) \ z,u,w),T(x,y),y) = R((x * y) \ (y * z),u,w). [para(365(a,1),47(a,1,1)),flip(a)]. given #1061 (H,wt=24): 717 L(L(T(x,y) \ z,u,w),T(x,y),y) = L((x * y) \ (y * z),u,w). [para(365(a,1),48(a,1,1)),flip(a)]. given #1062 (H,wt=24): 734 R(T(x,T(y,x) * z),T(y,x),z) = (T(y,x) * z) \ ((y * x) * z). [para(113(a,1),507(a,1,2,1)),flip(a)]. given #1063 (H,wt=24): 737 x * R(L(T(y,x),z,u),w,w \ x) = (L(y,z,u) * w) * (w \ x). [para(43(a,2),568(a,1,2,1))]. given #1064 (H,wt=24): 825 L(T(T((x \ y) \ z,u),w),x \ y,x) = T(T(y \ (x * z),u),w). [para(582(a,1),43(a,2,1))]. given #1065 (H,wt=24): 841 (x / y) \ (x * T(x \ (x / y),z)) != u | y * T(y \ 1,z) = u. [para(722(a,1),237(a,1,2)),flip(b)]. given #1066 (H,wt=18): 1225 K(x \ (x / y),x) != z | y * T(y \ 1,x) = z. [para(320(a,1),841(a,1))]. given #1067 (H,wt=20): 1226 T(x,y) / x != z | (1 / x) * T((1 / x) \ 1,y) = z. [para(889(a,1),1225(a,1))]. given #1068 (H,wt=24): 856 (1 / x) * (((y * (x \ z)) / z) * x) = R((1 / x) * y,x,x \ z). [para(740(a,2),820(a,1,2))]. given #1069 (H,wt=24): 858 (x / y) * R((x / y) \ 1,x / y,y) = (1 / (x / y)) \ (y / x). [hyper(75,a,287,a(flip),b,855,a),flip(a)]. given #1070 (H,wt=24): 871 (x \ R(x,y,z)) * K(x \ 1,R(x,y,z)) = (x \ 1) * R(x,y,z). [para(867(a,1),95(a,1,1))]. given #1071 (H,wt=24): 913 L((1 / x) * (y * x),z,u) != (1 / x) * w | L(y,z,u) * x = w. [para(864(a,2),22(a,1))]. given #1072 (H,wt=24): 917 (x * T(x \ (y \ x),z)) / (y \ x) != u | y * T(y \ 1,z) = u. [para(909(a,1),248(a,1,1)),flip(b)]. given #1073 (H,wt=24): 966 L(x,y,z) * (x * u) != w * v5 | w \ (x * (L(x,y,z) * u)) = v5. [para(960(a,2),426(a,1))]. given #1074 (H,wt=24): 969 (L(x,y,z) \ x) \ ((L(x,y,z) \ 1) * x) = K(L(x,y,z) \ 1,x). [para(964(a,1),29(a,2,1)),flip(a)]. given #1075 (H,wt=24): 1024 T(x,y) / T(x,z) != T(x,y) * u | T(1 / T(x,z),T(x,y)) = u. [para(1017(a,1),148(a,2)),flip(a)]. given #1076 (H,wt=24): 1026 (T(x,y) \ T(x,z)) / (T(x,y) \ 1) != u * w | T(x,z) / w = u. [para(1018(a,1),251(a,1,1))]. given #1077 (H,wt=24): 1034 R(x \ ((y * z) / y),x,z \ y) = T(T(y,z) / (x * (z \ y)),x). [para(1027(a,2),518(a,1,1,1)),flip(a)]. given #1078 (H,wt=24): 1095 R(x \ 1,x,y) \ (((y / (x * y)) * x) * (1 / x)) = x * (1 / x). [para(1094(a,1),133(a,1,1))]. given #1079 (H,wt=24): 1109 (x \ ((y * x) / y)) / (x \ 1) != z * u | ((y * x) / y) / u = z. [para(1106(a,1),251(a,1,1))]. given #1080 (H,wt=24): 1131 R(x,(x * T(x \ 1,y)) / x,x) = T(x,(x * T(x \ 1,y)) / x). [para(1126(a,1),618(a,1,1))]. given #1081 (H,wt=20): 1228 T(x,(x * T(x \ 1,y)) / x) = R(x,T(1 / x,y),x). [para(328(a,1),1131(a,1,2)),flip(a)]. given #1082 (H,wt=16): 1229 R(x,T(1 / x,y),x) = T(x,T(1 / x,y)). [para(328(a,1),1228(a,1,2)),flip(a)]. given #1083 (H,wt=22): 1230 R(R(x,y,z),T(1 / x,u),x) = R(T(x,T(1 / x,u)),y,z). [para(1229(a,1),49(a,1,1)),flip(a)]. given #1084 (H,wt=24): 1204 L((x \ y) \ 1,x \ y,x) * (x \ y) = (1 / (x \ y)) \ (y \ x). [hyper(75,a,276,a(flip),b,1202,a),flip(a)]. given #1085 (H,wt=17): 1232 (1 / (x \ y)) \ (y \ x) = (y \ x) * (x \ y). [para(276(a,1),1204(a,1,1)),flip(a)]. given #1086 (H,wt=17): 1233 (1 / (x \ y)) * ((y \ x) * (x \ y)) = y \ x. [para(1232(a,1),17(a,1,2))]. given #1087 (H,wt=21): 1234 (1 / ((x * y) \ x)) * ((x \ (x * y)) * ((x * y) \ x)) = y. [hyper(189,a,16,a(flip),b,1233,a)]. given #1088 (H,wt=17): 1237 (1 / ((x * y) \ x)) * (y * ((x * y) \ x)) = y. [para(16(a,1),1234(a,1,2,1))]. given #1089 (H,wt=24): 1224 x * L(R(T(y,x),z,z \ x),u,w) = (L(y,u,w) * z) * (z \ x). [para(47(a,1),737(a,1,2))]. given #1090 (H,wt=23): 1238 (L(1 / x,y,z) * x) * (x \ u) = u * L(u \ (x \ u),y,z). [para(723(a,1),1224(a,1,2,1)),flip(a)]. given #1091 (H,wt=23): 1239 (x * L(x \ 1,y,z)) * (x \ u) = u * L(u \ (x \ u),y,z). [para(502(a,1),1238(a,1,1))]. given #1092 (H,wt=23): 1240 (x * L(x \ (y \ x),z,u)) / (y \ x) = y * L(y \ 1,z,u). [hyper(88,a,1239,a)]. given #1093 (H,wt=25): 605 ((x \ (y / (x \ z))) * x) * (x \ z) = T(y / (x * (x \ z)),x) * z. [para(519(a,1),255(a,1,1)),flip(a)]. given #1094 (H,wt=21): 1242 ((x \ (y / (x \ z))) * x) * (x \ z) = T(y / z,x) * z. [para(17(a,1),605(a,2,1,1,2))]. given #1095 (H,wt=21): 1243 ((x \ (y / (x \ z))) * x) * (x \ z) = z * T(z \ y,x). [hyper(189,a,323,a(flip),b,1242,a)]. given #1096 (H,wt=21): 1244 ((x \ y) * x) * (x \ z) = z * T(z \ (y * (x \ z)),x). [para(18(a,1),1243(a,1,1,1,2))]. given #1097 (H,wt=25): 643 (x * y) * (K(y,x) * z) != (y * x) * u | L(z,K(y,x),x * y) = u. [para(95(a,1),346(a,1,1)),flip(a)]. given #1098 (H,wt=25): 699 ((x * R(y,z,u)) / x) * (z * u) != w | (((x * y) / x) * z) * u = w. [para(670(a,1),204(a,1,1))]. given #1099 (H,wt=25): 704 a(1 / (x * y),x,y) \ R((1 / (x * y)) * x,y,y \ 1) = y \ 1. [para(167(a,1),374(a,1,1))]. given #1100 (H,wt=25): 805 (x \ R(T(y,x \ 1),z,u)) / (x \ 1) = (x \ 1) \ (x \ R(y,z,u)). [para(45(a,2),787(a,1,1,2))]. given #1101 (H,wt=25): 809 (x * y) * R((x * y) \ (x * z),u,w) = x * (y * R(y \ z,u,w)). [para(104(a,1),351(a,1,2,1))]. given #1102 (H,wt=25): 810 (x * y) * R((x * y) \ z,u,w) = x * (y * R(y \ (x \ z),u,w)). [para(183(a,1),351(a,1,2,1))]. given #1103 (H,wt=25): 811 (x * y) * L((x * y) \ z,u,w) = x * (y * L(y \ (x \ z),u,w)). [para(183(a,1),352(a,1,2,1))]. given #1104 (H,wt=25): 815 L((x * y) / (z * y),u,w) * (z * y) = (L(x / z,u,w) * z) * y. [para(111(a,1),381(a,1,1,1))]. given #1105 (H,wt=21): 1246 (L((x * y) / x,z,u) * x) * y = (x * y) * L(y,z,u). [hyper(690,a,815,a),flip(a)]. given #1106 (H,wt=17): 1248 (x * L(y,z,u)) * y = (x * y) * L(y,z,u). [para(503(a,1),1246(a,1,1))]. given #1107 (H,wt=15): 1250 (1 / L(x,y,z)) * x = x / L(x,y,z). [hyper(423,a,1248,a),flip(a)]. given #1108 (H,wt=15): 1254 (1 / x) * L(x,y,z) = L(x,y,z) / x. [hyper(76,a,68,a(flip),b,1248,a),flip(a)]. given #1109 (H,wt=15): 1259 (x / L(x,y,z)) / x = 1 / L(x,y,z). [hyper(88,a,1250,a)]. given #1110 (H,wt=15): 1261 (L(x,y,z) / x) / L(x,y,z) = 1 / x. [hyper(88,a,1254,a)]. given #1111 (H,wt=17): 1249 ((x / L(y,z,u)) * y) \ (x * y) = L(y,z,u). [hyper(430,a,1248,a)]. given #1112 (H,wt=17): 1252 (x * L(y,z,u)) \ ((x * y) * L(y,z,u)) = y. [hyper(80,a,1248,a)]. given #1113 (H,wt=17): 1253 (x * L(y,z,u)) / y = (x / y) * L(y,z,u). [hyper(76,a,90,a(flip),b,1248,a)]. given #1114 (H,wt=17): 1258 T(1 / L(x,y,z),x) = x \ (x / L(x,y,z)). [hyper(147,a,1250,a,b,17,a)]. given #1115 (H,wt=18): 1264 (1 / L(x,y,z)) * x != u | x / L(x,y,z) = u. [para(1259(a,1),200(a,1,1)),flip(b)]. given #1116 (H,wt=18): 1266 L(x,y,z) = ((z * y) * x) \ ((z * (y * x)) * x). [para(128(a,1),1249(a,1,1,1)),flip(a)]. given #1117 (H,wt=18): 1267 R(T(x,y * L(x,z,u)),y,L(x,z,u)) = T(x,y). [para(1252(a,1),832(a,1,1)),flip(a)]. given #1118 (H,wt=18): 1268 ((x * y) / z) * L(z,y,x) = (x * (y * z)) / z. [para(102(a,1),1253(a,1,1)),flip(a)]. given #1119 (H,wt=19): 1251 (x * L(x \ 1,y,z)) * (x \ 1) = L(x \ 1,y,z). [hyper(189,a,61,a(flip),b,1248,a)]. given #1120 (H,wt=18): 1274 (x * ((y * x) \ y)) * (x \ 1) = L(x \ 1,x,y). [para(140(a,1),1251(a,1,1,2))]. given #1121 (H,wt=17): 1275 (x * ((y * x) \ y)) * (x \ 1) = (y * x) \ y. [hyper(189,a,140,a(flip),b,1274,a)]. given #1122 (H,wt=19): 1270 (x * L(y,z,u)) * T(y,x) = (y * x) * L(y,z,u). [para(1267(a,1),505(a,1,2))]. given #1123 (H,wt=19): 1271 ((x * y) * L(x,z,u)) / T(x,y) = y * L(x,z,u). [para(1267(a,1),506(a,1,2))]. given #1124 (H,wt=20): 1260 x / L(x,y,z) != x * u | T(1 / L(x,y,z),x) = u. [para(1250(a,1),148(a,2)),flip(a)]. given #1125 (H,wt=20): 1265 (x * y) / L(y,z,u) != w | (x / L(y,z,u)) * y = w. [para(1249(a,1),246(a,1,2)),flip(b)]. given #1126 (H,wt=20): 1272 (x * y) / L(z,y,R(x,y,z)) = (R(x,y,z) * y) / z. [hyper(410,a,1268,a(flip))]. given #1127 (H,wt=21): 1279 (x * L(y,z,u)) / T(y,y \ x) = (y \ x) * L(y,z,u). [hyper(76,a,91,a(flip),b,1270,a)]. given #1128 (H,wt=22): 1269 T(x \ (x / L(x,y,z)),L(x,y,z)) = T(L(x,y,z) \ 1,x). [para(1258(a,1),161(a,1,1))]. given #1129 (H,wt=23): 1278 T(x,y) \ ((x * y) * L(x,z,u)) = T(y * L(x,z,u),T(x,y)). [hyper(147,a,1270,a,b,17,a),flip(a)]. given #1130 (H,wt=24): 1257 (x * L(y,z,u)) * y != w * v5 | w \ ((x * y) * L(y,z,u)) = v5. [para(1248(a,2),426(a,1))]. given #1131 (H,wt=25): 831 ((x * (y / (z * y))) / x) * (z * y) = (((x * (1 / z)) / x) * z) * y. [para(695(a,1),110(a,1,1))]. given #1132 (H,wt=25): 863 ((x / (y * x)) * y) \ (x / (y * x)) = T(1 / y,(x / (y * x)) * y). [para(862(a,1),115(a,1,1)),flip(a)]. given #1133 (H,wt=25): 866 x \ R(x * (y * (x \ 1)),z,u) = (x \ 1) * R(T(y,x \ 1),z,u). [para(35(a,2),823(a,1,2,1)),flip(a)]. given #1134 (H,wt=21): 1283 x \ R(x * (y * (x \ 1)),z,u) = R(y,z,u) * (x \ 1). [hyper(189,a,160,a(flip),b,866,a)]. given #1135 (H,wt=25): 914 L(x * y,z,u) / ((1 / y) \ 1) = (1 / y) * L((1 / y) \ x,z,u). [para(69(a,1),883(a,1,1,1,2))]. given #1136 (H,wt=21): 1285 (1 / x) * L((1 / x) \ y,z,u) = L(y * x,z,u) / x. [para(69(a,1),914(a,1,2)),flip(a)]. given #1137 (H,wt=19): 1286 (1 / x) * L((1 / x) \ 1,y,z) = L(x,y,z) / x. [para(14(a,1),1285(a,2,1,1))]. given #1138 (H,wt=25): 928 (R(x,y,z) * u) \ (x * (R(x,y,z) * u)) = L(T(x,u),u,R(x,y,z)). [para(922(a,1),154(a,1,2))]. given #1139 (H,wt=18): 1287 L(T(x,y),y,R(x,z,u)) = T(x,R(x,z,u) * y). [hyper(238,a,928,a),flip(a)]. given #1140 (H,wt=25): 931 x * ((x \ y) * L((x \ y) \ z,u,w)) = y * L(y \ (x * z),u,w). [para(359(a,1),576(a,1,2,1)),flip(a)]. given #1141 (H,wt=25): 933 (x / y) * (y * L(y \ z,u,w)) = x * L(x \ ((x / y) * z),u,w). [para(364(a,1),580(a,1,2,1)),flip(a)]. given #1142 (H,wt=25): 934 x * ((x \ y) * R((x \ y) \ z,u,w)) = y * R(y \ (x * z),u,w). [para(583(a,1),344(a,1,2)),flip(a)]. given #1143 (H,wt=25): 938 (x / y) * (y * ((z * (y \ 1)) / z)) = x * ((z * (x \ (x / y))) / z). [para(692(a,1),345(a,1,2)),flip(a)]. given #1144 (H,wt=25): 957 ((x * (y / (y / T(z,x)))) / x) \ ((y / T(z,x)) * z) = y / T(z,x). [para(143(a,1),762(a,1,2,2))]. given #1145 (H,wt=23): 1292 ((x * (1 / (1 / T(y,x)))) / x) \ (y / T(y,x)) = 1 / T(y,x). [para(993(a,1),957(a,1,2))]. given #1146 (H,wt=25): 967 (L(x,y,z) * u) \ (x * (L(x,y,z) * u)) = L(T(x,u),u,L(x,y,z)). [para(960(a,1),154(a,1,2))]. given #1147 (H,wt=18): 1293 L(T(x,y),y,L(x,z,u)) = T(x,L(x,z,u) * y). [hyper(238,a,967,a),flip(a)]. given #1148 (H,wt=20): 1294 x * T(y,L(y,z,u) * x) = L(y,x,L(y,z,u)) * x. [para(1293(a,1),159(a,1,2))]. given #1149 (H,wt=20): 1295 T((x * y) / x,L(y,z,u) * x) = L(y,x,L(y,z,u)). [hyper(331,a,1294,a)]. given #1150 (H,wt=25): 970 L(x \ 1,y,z) \ K(x \ 1,x) = (x \ 1) * (L(x \ 1,y,z) \ x). [para(165(a,2),963(a,1,2))]. given #1151 (H,wt=25): 1033 ((x * R(y,y \ 1,x)) / x) * ((y \ 1) * x) = T(x,R(y,y \ 1,x)). [para(313(a,1),1027(a,2,2)),flip(a)]. given #1152 (H,wt=20): 1296 (((x * y) / x) * (y \ 1)) * x = T(x,R(y,y \ 1,x)). [hyper(699,a,1033,a)]. given #1153 (H,wt=18): 1297 (x \ ((y * x) / y)) * y = T(y,R(x,x \ 1,y)). [para(1106(a,1),1296(a,1,1))]. given #1154 (H,wt=18): 1298 T(x,R(y,y \ 1,x)) / x = y \ ((x * y) / x). [hyper(88,a,1297,a)]. given #1155 (H,wt=20): 1299 T(x,R(T(y,x),T(y,x) \ 1,x)) = (T(y,x) \ y) * x. [para(143(a,1),1297(a,1,1,2)),flip(a)]. given #1156 (H,wt=21): 1300 T(x,R(y,y \ 1,x)) / x != z | y \ ((x * y) / x) = z. [para(1297(a,1),248(a,1,1)),flip(b)]. given #1157 (H,wt=22): 1301 (1 / x) \ ((y * (1 / x)) / y) = T(y,R(1 / x,x,y)) / y. [para(69(a,1),1298(a,1,1,2,2)),flip(a)]. given #1158 (H,wt=20): 1303 T(x,R(1 / y,y,x)) / x = y * ((x * (y \ 1)) / x). [hyper(189,a,1099,a(flip),b,1301,a(flip))]. given #1159 (H,wt=20): 1304 (x * ((y * (x \ 1)) / y)) * y = T(y,R(1 / x,x,y)). [para(1303(a,1),19(a,1,1))]. given #1160 (H,wt=25): 1103 T(x / (y \ x),z) \ ((y \ x) \ x) = ((y \ x) \ x) * (T(y,z) \ 1). [para(67(a,1),1102(a,1,2,1,1)),flip(a)]. given #1161 (H,wt=21): 1306 ((x \ y) \ y) * (T(x,z) \ 1) = T(x,z) \ ((x \ y) \ y). [para(67(a,1),1103(a,1,1,1)),flip(a)]. given #1162 (H,wt=25): 1130 (R(x,y,z) * (x * T(x \ 1,u))) / R(x,y,z) = x * T(x \ 1,u). [para(1126(a,1),175(a,1,2,1))]. given #1163 (H,wt=25): 1181 x \ T(x * L((x * y) / x,z,u),x) = T(x * L(y,z,u),x) / x. [para(662(a,2),1178(a,1,2,1,2))]. given #1164 (H,wt=25): 1231 T(x,T(1 / x,y)) * T(T(1 / x,y),x) = T(x * T(1 / x,y),x). [para(1229(a,1),930(a,1,1))]. given #1165 (H,wt=23): 1309 T(x,T(1 / x,y)) * T(x \ 1,y) = T(x * T(1 / x,y),x). [para(161(a,1),1231(a,1,2))]. given #1166 (H,wt=21): 1310 T(x,T(1 / x,y)) * T(x \ 1,y) = x * T(1 / x,y). [hyper(189,a,1186,a(flip),b,1309,a)]. given #1167 (H,wt=25): 1235 T(1 / (x \ y),(y \ x) * (x \ y)) = ((y \ x) * (x \ y)) \ (y \ x). [hyper(147,a,1233,a,b,17,a)]. given #1168 (H,wt=25): 1247 (x * y) * L((x * y) \ (z * y),u,w) = (L(z / x,u,w) * x) * y. [hyper(673,a,815,a)]. given #1169 (H,wt=25): 1282 T(1 / x,(y / (x * y)) * x) != z | L(x \ 1,x,y / (x * y)) = z. [para(863(a,1),310(a,1))]. given #1170 (H,wt=25): 1288 x \ (y * L(y \ (x * z),u,w)) = (x \ y) * L((x \ y) \ z,u,w). [hyper(80,a,931,a)]. given #1171 (H,wt=23): 1312 (x \ y) * L((x \ y) \ 1,z,u) = x \ (y * L(y \ x,z,u)). [para(15(a,1),1288(a,1,2,2,1,2)),flip(a)]. given #1172 (H,wt=25): 1289 (x / y) * (y * L(y \ ((x / y) \ z),u,w)) = x * L(x \ z,u,w). [para(17(a,1),933(a,2,2,1,2))]. given #1173 (H,wt=25): 1290 x \ (y * R(y \ (x * z),u,w)) = (x \ y) * R((x \ y) \ z,u,w). [hyper(80,a,934,a)]. given #1174 (H,wt=23): 1315 (x \ y) * R((x \ y) \ 1,z,u) = x \ (y * R(y \ x,z,u)). [para(15(a,1),1290(a,1,2,2,1,2)),flip(a)]. given #1175 (H,wt=25): 1291 (x / y) \ (x * ((z * (x \ (x / y))) / z)) = y * ((z * (y \ 1)) / z). [hyper(80,a,938,a)]. given #1176 (H,wt=21): 1318 (x / y) \ (x * ((x / y) / x)) = y * ((x * (y \ 1)) / x). [para(17(a,1),1291(a,1,2,2,1))]. given #1177 (H,wt=17): 1319 K(x,(x / y) / x) = y * ((x * (y \ 1)) / x). [hyper(338,a,1318,a)]. given #1178 (H,wt=19): 1321 (x \ y) * ((y * ((x \ y) \ 1)) / y) = K(y,x / y). [para(67(a,1),1319(a,1,2,1)),flip(a)]. given #1179 (H,wt=20): 1320 x * ((y * (x \ 1)) / y) != z | K(y,(y / x) / y) = z. [para(1318(a,1),338(a,1))]. given #1180 (H,wt=21): 1322 x * ((T(x,y) * (x \ 1)) / T(x,y)) = K(T(x,y),1 / x). [para(795(a,1),1319(a,1,2)),flip(a)]. given #1181 (H,wt=24): 1323 x * ((R(x,y,z) * (x \ 1)) / R(x,y,z)) = K(R(x,y,z),1 / x). [para(878(a,1),1319(a,1,2)),flip(a)]. given #1182 (H,wt=22): 1327 x * ((x \ R(x,y,z)) / R(x,y,z)) = K(R(x,y,z),1 / x). [para(867(a,1),1323(a,1,2,1))]. given #1183 (H,wt=24): 1325 x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = K(L(x,y,z),1 / x). [para(1261(a,1),1319(a,1,2)),flip(a)]. given #1184 (H,wt=25): 1302 T(1 / x,T(x,R(y,y \ 1,x))) = L(x \ 1,x,y \ ((x * y) / x)). [para(1298(a,1),801(a,1,3)),flip(a)]. given #1185 (H,wt=25): 1307 ((x \ y) \ y) * (x \ (T(x,z) \ 1)) = x \ (T(x,z) \ ((x \ y) \ y)). [para(1306(a,1),1063(a,1,2)),flip(a)]. given #1186 (H,wt=25): 1308 (x * (R(x,y,z) * T(x \ 1,u))) / R(x,y,z) = x * T(x \ 1,u). [para(922(a,1),1130(a,1,1))]. given #1187 (H,wt=25): 1311 (L((x / y) / z,u,w) * z) * y = (z * y) * L((z * y) \ x,u,w). [para(19(a,1),1247(a,1,2,1,2)),flip(a)]. given #1188 (H,wt=25): 1313 (x \ y) * L((x \ y) \ (x \ z),u,w) = x \ (y * L(y \ z,u,w)). [para(17(a,1),1288(a,1,2,2,1,2)),flip(a)]. given #1189 (H,wt=25): 1326 x * (((x \ 1) * T((x \ 1) \ 1,y)) / T(x,y)) = K(T(x,y),1 / x). [para(326(a,2),1322(a,1,2,1))]. given #1190 (H,wt=25): 1329 (L((x / y) / z,u,w) * z) * y = z * (y * L(y \ (z \ x),u,w)). [hyper(189,a,811,a(flip),b,1311,a)]. given #1191 (H,wt=25): 1331 (x * L(x \ (y / z),u,w)) * z = x * (z * L(z \ (x \ y),u,w)). [para(502(a,1),1329(a,1,1))]. given #1192 (H,wt=23): 1335 x * (y * L(y \ (x \ y),z,u)) = (x * L(x \ 1,z,u)) * y. [para(64(a,1),1331(a,1,1,2,1,2)),flip(a)]. given #1193 (H,wt=23): 1337 (x * y) * L((x * y) \ y,z,u) = (x * L(x \ 1,z,u)) * y. [hyper(189,a,811,a,b,1335,a(flip)),flip(a)]. given #1194 (H,wt=12): 1339 T(x,x * L(x \ 1,y,z)) = x. [hyper(147,a,709,a(flip),b,1337,a(flip))]. given #1195 (H,wt=12): 1342 K(x,x * L(x \ 1,y,z)) = 1. [hyper(39,a,1339,a)]. given #1196 (H,wt=14): 1344 T(x \ 1,x \ L(x,y,z)) = x \ 1. [para(854(a,1),1339(a,1,2))]. given #1197 (H,wt=14): 1345 T(1 / x,L(x,y,z) / x) = 1 / x. [para(1286(a,1),1339(a,1,2))]. given #1198 (H,wt=15): 1343 T(x \ y,(x \ y) * (y \ x)) = x \ y. [para(276(a,1),1339(a,1,2,2))]. given #1199 (H,wt=16): 1346 T(x \ 1,L(x,y,z) * (x \ 1)) = x \ 1. [para(962(a,2),1344(a,1,2))]. given #1200 (H,wt=20): 1348 R(x \ 1,L(x,y,z),x \ 1) = T(x \ 1,L(x,y,z)). [para(1346(a,1),615(a,1,1))]. given #1201 (H,wt=22): 1340 T(x * L(x \ 1,T(x,y),y),y) = T(x,y) * ((x * y) \ y). [hyper(147,a,1337,a(flip),b,353,a(flip))]. given #1202 (H,wt=22): 1347 T((x * (1 / y)) / x,L(y,z,u) / y) = (x * (1 / y)) / x. [para(1345(a,1),330(a,1,1,2)),flip(a)]. given #1203 (H,wt=25): 1332 (x * (y * L(y \ (x \ z),u,w))) / y = x * L(x \ (z / y),u,w). [hyper(88,a,1331,a)]. given #1204 (H,wt=25): 1333 (x / y) * L((x / y) \ (z / y),u,w) = (x * L(x \ z,u,w)) / y. [hyper(76,a,1289,a(flip),b,1331,a),flip(a)]. given #1205 (H,wt=25): 1334 x * (y * L(y \ (x \ (z * y)),u,w)) = (x * L(x \ z,u,w)) * y. [para(18(a,1),1331(a,1,1,2,1,2)),flip(a)]. given #1206 (H,wt=23): 1350 x * L(x \ (x \ (y * x)),z,u) = T(x * L(x \ y,z,u),x). [hyper(148,a,1334,a),flip(a)]. given #1207 (H,wt=21): 1352 T(x * L(x \ y,z,u),x) = x * L(x \ T(y,x),z,u). [para(35(a,2),1350(a,1,2,1,2)),flip(a)]. given #1208 (H,wt=21): 1353 x \ T(x * L(x \ y,z,u),x) = L(x \ T(y,x),z,u). [hyper(75,a,1352,a,b,xx)]. given #1209 (H,wt=21): 1354 L(x \ T(x * y,x),z,u) = x \ T(x * L(y,z,u),x). [para(16(a,1),1353(a,1,2,1,2,1)),flip(a)]. given #1210 (H,wt=21): 1356 x \ T(x * L(y / x,z,u),x) = L(T(y,x) / x,z,u). [para(1178(a,1),1354(a,1,1)),flip(a)]. given #1211 (H,wt=21): 1357 L(T(x * y,x) / x,z,u) = T(x * L(y,z,u),x) / x. [hyper(189,a,1181,a(flip),b,1356,a(flip))]. given #1212 (H,wt=26): 347 (x * (y * z)) \ ((x * y) * (L(z,y,x) * u)) = L(u,L(z,y,x),x * y). [para(102(a,1),31(a,2,1)),flip(a)]. given #1213 (H,wt=26): 368 L(L(x,y,z) \ u,L(x,y,z),z * y) = (z * (y * x)) \ ((z * y) * u). [para(102(a,1),104(a,2,1))]. given #1214 (H,wt=26): 379 ((x * R(y,z,u)) * (z * u)) / ((y * z) * u) = R(x,R(y,z,u),z * u). [para(110(a,1),33(a,2,2)),flip(a)]. given #1215 (H,wt=26): 389 ((x * y) * z) * L(u,y * z,R(x,y,z)) = R(x,y,z) * ((y * z) * u). [para(110(a,1),102(a,1,1))]. given #1216 (H,wt=26): 397 R(x / R(y,z,u),R(y,z,u),z * u) = (x * (z * u)) / ((y * z) * u). [para(110(a,1),111(a,2,2))]. given #1217 (H,wt=26): 528 (T(x,x \ y) * z) \ (((x \ y) \ y) * (z * u)) = L(u,z,(x \ y) \ y). [para(219(a,2),31(a,2,1)),flip(a)]. given #1218 (H,wt=26): 529 (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) != u | K(z,(x \ y) \ y) = u. [para(219(a,2),240(a,1,1))]. given #1219 (H,wt=26): 646 (x * (y * z)) \ (x * (y * (z * u))) != w | L(L(u,z,y),y * z,x) = w. [para(102(a,1),355(a,1,2,2))]. given #1220 (H,wt=26): 730 R(x,T(y,x),T(z,y * x)) \ (z * (y * x)) = T(y,x) * T(z,y * x). [para(129(a,1),450(a,1,1,1))]. given #1221 (H,wt=26): 758 R((x * (y / z)) / x,z,z \ 1) / (z \ 1) = z * ((x * (z \ y)) / x). [hyper(189,a,373,a,b,680,a(flip)),flip(a)]. given #1222 (H,wt=23): 1359 ((x * (y * (z \ 1))) / x) / (z \ 1) = z * ((x * (z \ y)) / x). [para(698(a,1),758(a,1,1))]. given #1223 (H,wt=26): 838 (x * y) * T((x * y) \ (x * z),u) != w | x * (y * T(y \ z,u)) = w. [para(104(a,1),641(a,1,2,1))]. given #1224 (H,wt=26): 839 (x * y) * T((x * y) \ z,u) != w | x * (y * T(y \ (x \ z),u)) = w. [para(183(a,1),641(a,1,2,1))]. given #1225 (H,wt=26): 895 K(x \ (x / (1 / (y / (x * y)))),x) = R(x \ 1,x,y) / (y / (x * y)). [para(517(a,1),889(a,2,1))]. given #1226 (H,wt=26): 945 ((((x * y) / x) \ z) \ z) * x != x * u | T(y,((x * y) / x) \ z) = u. [para(543(a,2),22(a,1))]. given #1227 (H,wt=26): 965 ((x * y) * L(x,z,u)) \ (x * (L(x,z,u) * y)) = K(L(x,z,u),x * y). [hyper(75,a,960,a(flip),b,95,a)]. given #1228 (H,wt=26): 1052 T(T(R(x,y,y \ 1),x * y) / (y \ 1),(x * y) * (y \ 1)) = x * y. [para(369(a,1),1050(a,1,1,1,1))]. given #1229 (H,wt=26): 1124 x * T(x \ T(y,x),z) != u * w | u \ T(x * T(x \ y,z),x) = w. [para(1122(a,1),301(a,1,2))]. given #1230 (H,wt=26): 1127 (x * y) * T((x * y) \ y,z) != y * u | T(x * T(x \ 1,z),y) = u. [para(1119(a,2),148(a,2)),flip(a)]. given #1231 (H,wt=26): 1199 (x \ 1) \ ((1 / x) * (K(x \ 1,x) * y)) = L(y,K(x \ 1,x),1 / x). [para(1198(a,1),31(a,2,1)),flip(a)]. given #1232 (H,wt=26): 1227 R((1 / x) * ((y * x) / y),x,x \ y) = (1 / x) * ((T(y,x) / y) * x). [para(1027(a,2),856(a,1,2,1,1)),flip(a)]. given #1233 (H,wt=26): 1255 (x * (y * L(x,z,u))) \ ((y * x) * L(x,z,u)) = K(y * L(x,z,u),x). [hyper(75,a,1248,a(flip),b,95,a)]. given #1234 (H,wt=26): 1273 (x * (y * z)) / z != L(z,y,x) * u | T((x * y) / z,L(z,y,x)) = u. [para(1268(a,1),148(a,2)),flip(a)]. given #1235 (H,wt=26): 1280 T(x,y) * z != (x * y) * L(x,u,w) | T(y * L(x,u,w),T(x,y)) = z. [para(1270(a,1),148(a,2))]. given #1236 (H,wt=26): 1305 (T(x,y) * ((T(x,y) \ x) / x)) * x = T(x,R(1 / T(x,y),T(x,y),x)). [para(987(a,1),1304(a,1,1,2,1))]. given #1237 (H,wt=25): 1364 (T(x,y) * ((T(x,y) \ x) / x)) * x = T(x,(1 * x) / (x * T(x,y))). [para(394(a,1),1305(a,2,2))]. given #1238 (H,wt=23): 1365 (T(x,y) * ((T(x,y) \ x) / x)) * x = T(x,x / (x * T(x,y))). [para(14(a,1),1364(a,2,2,1))]. given #1239 (H,wt=26): 1328 (x * ((x \ 1) * R(x,y,z))) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). [para(113(a,1),1308(a,1,1,2))]. given #1240 (H,wt=25): 1366 L(R(x,y,z),x \ 1,x) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). [para(166(a,1),1328(a,1,1))]. given #1241 (H,wt=24): 1367 R(1 / (1 / x),y,z) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). [para(475(a,1),1366(a,1,1))]. given #1242 (H,wt=26): 1361 T(R(T(x,x * y),y,y \ 1) / (y \ 1),(x * y) * (y \ 1)) = x * y. [para(45(a,2),1052(a,1,1,1))]. given #1243 (H,wt=19): 1368 T(T(x,x * y) * y,(x * y) * (y \ 1)) = x * y. [para(373(a,1),1361(a,1,1))]. given #1244 (H,wt=18): 1369 T(T(x,x * y) * y,R(x,y,y \ 1)) = x * y. [para(369(a,1),1368(a,1,2))]. given #1245 (H,wt=22): 1370 T(T(T(x,x * y) * y,z),R(x,y,y \ 1)) = T(x * y,z). [para(1369(a,1),41(a,1,1)),flip(a)]. given #1246 (H,wt=26): 1362 (1 / x) * ((x \ 1) \ (K(x \ 1,x) * y)) = L(y,K(x \ 1,x),1 / x). [hyper(189,a,1086,a(flip),b,1199,a(flip)),flip(a)]. given #1247 (H,wt=27): 607 (x * R(x \ 1,x,y)) \ (x * (y / (x * y))) != z | K(x,y / (x * y)) = z. [para(522(a,1),240(a,1,1))]. given #1248 (H,wt=27): 649 ((1 / (1 / x)) * y) / (K(x \ 1,x) * y) != z | R(x,K(x \ 1,x),y) = z. [para(474(a,1),385(a,1,1,1))]. given #1249 (H,wt=27): 714 (x * y) * T((y * T(x,y)) \ y,z) = y * (T(x,y) * T(T(x,y) \ 1,z)). [para(280(a,2),353(a,1,2))]. given #1250 (H,wt=25): 1372 x * (T(y,x) * T(T(y,x) \ 1,z)) = (y * x) * T((y * x) \ x,z). [para(113(a,1),714(a,1,2,1,1)),flip(a)]. given #1251 (H,wt=21): 1373 T(x,y) * T(T(x,y) \ 1,z) = T(x * T(x \ 1,z),y). [hyper(147,a,1119,a(flip),b,1372,a),flip(a)]. given #1252 (H,wt=19): 1374 T(x * T(x \ 1,y),z) = K(y \ (y / T(x,z)),y). [hyper(888,a,1373,a),flip(a)]. given #1253 (H,wt=19): 1378 T(x \ T(x,y),z) = K(y \ (y / T(x \ 1,z)),y). [para(770(a,1),1374(a,1,1))]. given #1254 (H,wt=20): 1379 K(x \ (x / T(L(y \ 1,y,x),z)),x) = T(K(y,x),z). [para(906(a,2),1374(a,1,1)),flip(a)]. given #1255 (H,wt=21): 1375 T(x,y) \ T(x * T(x \ 1,z),y) = T(T(x,y) \ 1,z). [hyper(80,a,1373,a)]. given #1256 (H,wt=21): 1376 (x \ (x / T(x,y))) * T(x,y) = T(x * T(x \ 1,x),y). [hyper(189,a,1005,a(flip),b,1373,a(flip)),flip(a)]. given #1257 (H,wt=19): 1382 (x \ (x / T(x,y))) * T(x,y) = T(K(x \ 1,x),y). [para(229(a,1),1376(a,2,1))]. given #1258 (H,wt=23): 1381 T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ T(x * (x \ 1),y). [para(1133(a,1),1375(a,1,2,1,2)),flip(a)]. given #1259 (H,wt=19): 1383 T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ T(1,y). [para(17(a,1),1381(a,2,2,1))]. given #1260 (H,wt=17): 1385 T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ 1. [para(191(a,1),1383(a,2,2))]. given #1261 (H,wt=17): 1386 T(x \ T(x,y),T(x,z) \ 1) = x \ T(x,y). [hyper(38,a,1385,a)]. given #1262 (H,wt=13): 1388 K(x \ T(x,y),T(x,z) \ 1) = 1. [hyper(39,a,1386,a)]. given #1263 (H,wt=24): 1377 T(x * T(x \ 1,T(x,y)),y) != z * T(x,y) | T(x,y) \ 1 = z. [para(1373(a,1),149(a,1)),flip(b)]. given #1264 (H,wt=27): 728 L(L(T(x \ 1,y),x,z),z * x,1 / (z * x)) = T((1 / (z * x)) * z,y). [para(280(a,1),440(a,1,1))]. given #1265 (H,wt=27): 828 (x / y) * R((x / y) \ z,x / y,y) != u | ((z * y) / x) * (x / y) = u. [para(598(a,2),205(a,1,2))]. given #1266 (H,wt=19): 1389 (1 / (x / y)) \ (y / x) = ((1 * y) / x) * (x / y). [hyper(828,a,858,a),flip(a)]. given #1267 (H,wt=17): 1390 (1 / (x / y)) \ (y / x) = (y / x) * (x / y). [para(14(a,1),1389(a,2,1,1))]. given #1268 (H,wt=17): 1391 (1 / (x / y)) * ((y / x) * (x / y)) = y / x. [para(1390(a,1),17(a,1,2))]. given #1269 (H,wt=21): 1392 (1 / ((x \ y) / y)) * ((y / (x \ y)) * ((x \ y) / y)) = x. [hyper(189,a,67,a(flip),b,1391,a)]. given #1270 (H,wt=17): 1393 (1 / ((x \ y) / y)) * (x * ((x \ y) / y)) = x. [para(67(a,1),1392(a,1,2,1))]. given #1271 (H,wt=25): 1394 T(1 / ((x \ y) / y),x * ((x \ y) / y)) = (x * ((x \ y) / y)) \ x. [hyper(147,a,1393,a,b,17,a)]. given #1272 (H,wt=27): 873 T((R(x,y,z) * (1 / x)) / R(x,y,z),x) = (x \ R(x,y,z)) / R(x,y,z). [para(867(a,1),546(a,2,1))]. given #1273 (H,wt=27): 880 L(R(x,y,z) \ u,R(x,y,z),1 / x) = (R(x,y,z) / x) \ ((1 / x) * u). [para(875(a,1),104(a,2,1))]. given #1274 (H,wt=27): 936 (x * y) * ((z * ((x * y) \ u)) / z) = x * (y * ((z * (y \ (x \ u))) / z)). [para(691(a,1),102(a,1,2))]. given #1275 (H,wt=25): 1398 (x * y) * ((z * ((x * y) \ x)) / z) = x * (y * ((z * (y \ 1)) / z)). [para(59(a,1),936(a,2,2,2,1,2,2))]. given #1276 (H,wt=19): 1399 x \ T(x,x / (x * y)) = y * ((x * (y \ 1)) / x). [hyper(1045,a,1398,a)]. given #1277 (H,wt=17): 1402 x \ T(x,x / (x * y)) = K(x,(x / y) / x). [hyper(189,a,1319,a,b,1399,a)]. given #1278 (H,wt=17): 1404 x * K(x,(x / y) / x) = T(x,x / (x * y)). [para(1402(a,1),17(a,1,2))]. given #1279 (H,wt=17): 1405 T(x,x / (x * (y \ x))) = x * K(x,y / x). [para(67(a,1),1404(a,1,2,2,1)),flip(a)]. given #1280 (H,wt=19): 1400 x * (y * ((x * (y \ 1)) / x)) = T(x,x / (x * y)). [hyper(1044,a,1398,a),flip(a)]. given #1281 (H,wt=20): 1403 T(x,R(1 / y,y,x)) = (x \ T(x,x / (x * y))) * x. [para(1399(a,2),1304(a,1,1)),flip(a)]. given #1282 (H,wt=20): 1406 T(x,R(y,x,(y * x) \ x)) = x * K(x,(y * x) / x). [para(109(a,2),1405(a,1,2))]. given #1283 (H,wt=16): 1407 T(x,R(y,x,(y * x) \ x)) = x * K(x,y). [para(18(a,1),1406(a,2,2,2))]. given #1284 (H,wt=27): 940 (x * y) * T((x * y) \ (y * z),u) = y * (T(x,y) * T(T(x,y) \ z,u)). [para(715(a,1),353(a,1,2))]. given #1285 (H,wt=26): 1408 (x * y) * T((x * y) \ (y * x),x) = y * L(x,T(x,y) \ x,T(x,y)). [para(1015(a,1),940(a,2,2))]. given #1286 (H,wt=22): 1409 x * L(y,T(y,x) \ y,T(y,x)) = (y * x) * T(K(x,y),y). [para(29(a,2),1408(a,1,2,1)),flip(a)]. given #1287 (H,wt=27): 1004 K(x \ (x / (1 / (1 / T(x,y)))),x) * (1 / T(x,y)) = x \ (x / T(x,y)). [hyper(189,a,894,a(flip),b,995,a(flip)),flip(a)]. given #1288 (H,wt=27): 1038 (x \ y) \ K(T(y,x) \ ((y * x) / y),T(y,x)) = T((x \ y) \ 1,T(y,x)). [para(1028(a,1),887(a,1,2,1,2))]. given #1289 (H,wt=27): 1079 (x * y) * T((x * y) \ (y * x),z) = (y * x) * K(z \ (z / K(x,y)),z). [para(29(a,2),1074(a,2,2,1,2,2))]. given #1290 (H,wt=23): 1410 (x * y) * K(z \ (z / K(y,x)),z) = (y * x) * T(K(x,y),z). [para(29(a,2),1079(a,1,2,1)),flip(a)]. given #1291 (H,wt=25): 1411 (x * y) * (K(y,x) * T(K(y,x) \ 1,z)) = (y * x) * T(K(x,y),z). [para(886(a,1),1410(a,1,2))]. given #1292 (H,wt=25): 1412 (x * y) \ ((y * x) * T(K(x,y),z)) = K(y,x) * T(K(y,x) \ 1,z). [hyper(80,a,1411,a)]. given #1293 (H,wt=27): 1081 K((x * (y \ z)) \ x,x * (y \ z)) = y \ (z * T(z \ y,x * (y \ z))). [para(18(a,1),1075(a,1,1,2))]. given #1294 (H,wt=27): 1096 K(T(1 / T(x,y),T(x,z)),T(x,z)) / T(x,y) = T(1 / T(x,y),T(x,z)). [para(1022(a,1),891(a,1,1,1))]. given #1295 (H,wt=27): 1159 x * ((y \ z) * T((y \ z) \ (x \ z),u)) = (x * T(x \ y,u)) * (y \ z). [para(17(a,1),1117(a,1,2,2,1,2,2))]. given #1296 (H,wt=27): 1223 x * ((x \ y) * ((z * ((x \ y) \ u)) / z)) = y * ((z * (y \ (x * u))) / z). [para(694(a,1),344(a,1,2)),flip(a)]. given #1297 (H,wt=25): 1414 x * ((x \ y) * ((z * ((x \ y) \ 1)) / z)) = y * ((z * (y \ x)) / z). [para(15(a,1),1223(a,2,2,1,2,2))]. given #1298 (H,wt=21): 1415 x * K(y,(y / (x \ z)) / y) = z * ((y * (z \ x)) / y). [para(1319(a,2),1414(a,1,2))]. given #1299 (H,wt=25): 1416 (x * y) * ((z * ((x * y) \ y)) / z) = y * K(z,(z / T(x,y)) / z). [para(35(a,2),1415(a,1,2,2,1,2)),flip(a)]. given #1300 (H,wt=27): 1262 L(L(x,y,z) \ u,L(x,y,z),1 / x) = (L(x,y,z) / x) \ ((1 / x) * u). [para(1254(a,1),104(a,2,1))]. given #1301 (H,wt=27): 1324 T(x,y) * ((T(x,z) * (T(x,y) \ 1)) / T(x,z)) = K(T(x,z),1 / T(x,y)). [para(1023(a,1),1319(a,1,2)),flip(a)]. given #1302 (H,wt=25): 1417 T(x,y) * ((T(x,y) \ T(x,z)) / T(x,z)) = K(T(x,z),1 / T(x,y)). [para(1018(a,1),1324(a,1,2,1))]. given #1303 (H,wt=27): 1338 x * ((x * y) * L((x * y) \ y,z,u)) = (x * L(x \ 1,z,u)) * (x * y). [para(16(a,1),1335(a,1,2,2,1,2))]. given #1304 (H,wt=25): 1418 (x * L(x \ 1,y,z)) * (x * u) = x * ((x * L(x \ 1,y,z)) * u). [para(1337(a,1),1338(a,1,2)),flip(a)]. given #1305 (H,wt=27): 1349 (x * (y * L(y \ (x \ x),z,u))) / y = (x / y) * (y * L(y \ 1,z,u)). [hyper(189,a,932,a,b,1332,a)]. given #1306 (H,wt=25): 1420 (x * (y * L(y \ 1,z,u))) / y = (x / y) * (y * L(y \ 1,z,u)). [para(59(a,1),1349(a,1,1,2,2,1,2))]. given #1307 (H,wt=27): 1351 ((x * y) * L((x * y) \ x,z,u)) * y = (x * y) * (y * L(y \ 1,z,u)). [para(59(a,1),1334(a,1,2,2,1,2)),flip(a)]. given #1308 (H,wt=25): 1422 (x * (y * L(y \ 1,z,u))) * y = (x * y) * (y * L(y \ 1,z,u)). [para(709(a,1),1351(a,1,1))]. given #1309 (H,wt=24): 1423 (x * y) * (y * L(y \ 1,y,1 / y)) = (x * (y * (1 / y))) * y. [para(277(a,1),1422(a,1,1,2,2)),flip(a)]. given #1310 (H,wt=19): 1424 (x * (y * (1 / y))) * y = (x * y) * (y * (1 / y)). [para(277(a,1),1423(a,1,2,2)),flip(a)]. given #1311 (H,wt=27): 1360 ((x * (y * ((1 / z) \ 1))) / x) / z = (1 / z) * ((x * ((1 / z) \ y)) / x). [para(69(a,1),1359(a,1,2))]. given #1312 (H,wt=23): 1425 (1 / x) * ((y * ((1 / x) \ z)) / y) = ((y * (z * x)) / y) / x. [para(69(a,1),1360(a,1,1,1,2,2)),flip(a)]. given #1313 (H,wt=17): 1426 ((x * (x * y)) / x) / y = T(x,x / (1 / y)). [hyper(1044,a,1425,a),flip(a)]. given #1314 (H,wt=19): 1428 T(x,x / (1 / (x \ y))) = ((x * y) / x) / (x \ y). [para(17(a,1),1426(a,1,1,1,2)),flip(a)]. given #1315 (H,wt=20): 1429 R(T(x,x / (1 / y)),y,x) = (x * (x * y)) / (y * x). [para(1426(a,1),187(a,1,1))]. given #1316 (H,wt=21): 1427 (1 / x) * ((y * ((1 / x) \ 1)) / y) = ((y * x) / y) / x. [para(14(a,1),1425(a,2,1,1,2))]. given #1317 (H,wt=27): 1397 (x * y) * ((z * ((x * y) \ (x * u))) / z) = x * (y * ((z * (y \ u)) / z)). [para(16(a,1),936(a,2,2,2,1,2,2))]. given #1318 (H,wt=27): 1413 K(((x \ y) * (y \ x)) \ (x \ y),(x \ y) * (y \ x)) = y \ (x * (x \ y)). [para(1343(a,1),1081(a,2,2,2))]. given #1319 (H,wt=21): 1430 K(((x \ y) * (y \ x)) \ (x \ y),(x \ y) * (y \ x)) = 1. [hyper(189,a,201,a(flip),b,1413,a)]. given #1320 (H,wt=19): 1432 T(1 / (x \ y),(y \ x) * (x \ y)) = 1 / (x \ y). [para(1430(a,1),845(a,1,1)),flip(a)]. given #1321 (H,wt=17): 1433 ((x \ y) * (y \ x)) \ (x \ y) = 1 / (y \ x). [hyper(189,a,1235,a(flip),b,1432,a(flip)),flip(a)]. given #1322 (H,wt=18): 1434 L((x \ y) \ 1,x \ y,y \ x) = 1 / (x \ y). [hyper(310,a,1433,a)]. given #1323 (H,wt=21): 1435 (((x * y) \ x) * y) \ ((x * y) \ x) = 1 / (x \ (x * y)). [para(16(a,1),1433(a,1,1,2))]. given #1324 (H,wt=17): 1437 (((x * y) \ x) * y) \ ((x * y) \ x) = 1 / y. [para(16(a,1),1435(a,2,2))]. given #1325 (H,wt=14): 1438 L(x \ 1,x,(y * x) \ y) = 1 / x. [hyper(310,a,1437,a)]. given #1326 (H,wt=12): 1441 L(x \ 1,x,x \ 1) = 1 / x. [para(14(a,1),1438(a,1,3,1))]. given #1327 (H,wt=14): 1442 L(x \ 1,x,y \ (y / x)) = 1 / x. [para(19(a,1),1438(a,1,3,1))]. given #1328 (H,wt=16): 1443 L(T(x \ 1,y),x,x \ 1) = T(1 / x,y). [para(1441(a,1),43(a,2,1))]. given #1329 (H,wt=17): 1439 (((x * y) \ x) * y) * (1 / y) = (x * y) \ x. [para(1437(a,1),17(a,1,2))]. given #1330 (H,wt=17): 1440 ((x * y) \ x) / (1 / y) = ((x * y) \ x) * y. [para(1437(a,1),67(a,1,2))]. given #1331 (H,wt=17): 1446 (x \ (x / y)) / (1 / y) = (x \ (x / y)) * y. [para(1442(a,1),283(a,1,2))]. given #1332 (H,wt=22): 1436 L(((x * y) \ x) \ 1,(x * y) \ x,y) = 1 / ((x * y) \ x). [para(16(a,1),1434(a,1,3))]. given #1333 (H,wt=17): 1450 (x * ((y * x) \ y)) \ x = 1 / ((y * x) \ y). [hyper(189,a,140,a(flip),b,1436,a(flip)),flip(a)]. given #1334 (H,wt=22): 1444 x * L(x \ (y \ x),y,y \ 1) = (y * (1 / y)) * (y \ x). [para(1441(a,1),1239(a,1,1,2)),flip(a)]. given #1335 (H,wt=22): 1445 x * (y * L(y \ (x \ y),x,x \ 1)) = (x * (1 / x)) * y. [para(1441(a,1),1335(a,2,1,2))]. given #1336 (H,wt=23): 1447 K(x \ 1,x) * T(1 / x,y) = (x \ 1) * (x * T(x \ 1,y)). [para(1443(a,1),354(a,1,2))]. given #1337 (H,wt=25): 1449 T(1 / T(x,y),x) / (1 / T(x,y)) = (x \ (x / T(x,y))) * T(x,y). [para(995(a,2),1446(a,1,1))]. given #1338 (H,wt=21): 1452 T(1 / T(x,y),x) / (1 / T(x,y)) = T(K(x \ 1,x),y). [hyper(189,a,1382,a(flip),b,1449,a)]. given #1339 (H,wt=21): 1453 K(x \ (x / (1 / (1 / T(x,y)))),x) = T(K(x \ 1,x),y). [hyper(899,a,1452,a)]. given #1340 (H,wt=21): 1454 T(K(x \ 1,x),y) * (1 / T(x,y)) = x \ (x / T(x,y)). [para(1453(a,1),1004(a,1,1))]. given #1341 (H,wt=24): 1455 x \ (x / T(x,y)) != z * (1 / T(x,y)) | T(K(x \ 1,x),y) = z. [para(1454(a,1),23(a,1))]. given #1342 (H,wt=28): 592 R(T(x / (y / z),u),y / z,z) * y = ((y / z) * T((y / z) \ x,u)) * z. [para(323(a,1),375(a,2,1))]. given #1343 (H,wt=23): 1456 ((x / y) * T((x / y) \ z,u)) * y = T((z * y) / x,u) * x. [para(597(a,1),592(a,1,1)),flip(a)]. given #1344 (H,wt=19): 1457 (x / y) * T((x / y) \ x,z) = (x * T(y,z)) / y. [hyper(76,a,325,a(flip),b,1456,a),flip(a)]. given #1345 (H,wt=15): 1459 (x * T(y,z)) / y = (x / y) * T(y,z). [para(69(a,1),1457(a,1,2,1)),flip(a)]. given #1346 (H,wt=13): 1463 (x / y) * T(y,x) = (y * x) / y. [para(113(a,1),1459(a,1,1)),flip(a)]. given #1347 (H,wt=13): 1466 T(x,y) = (y / x) \ ((x * y) / x). [hyper(80,a,1463,a),flip(a)]. given #1348 (H,wt=15): 1460 ((x / T(y,z)) / y) * T(y,z) = x / y. [hyper(189,a,185,a(flip),b,1459,a(flip))]. given #1349 (H,wt=15): 1461 ((x / y) * T(y,z)) * y = x * T(y,z). [para(1459(a,1),19(a,1,1))]. given #1350 (H,wt=15): 1462 ((x / y) * T(y,z)) \ (x * T(y,z)) = y. [para(1459(a,1),69(a,1,1))]. given #1351 (H,wt=15): 1467 (x * (y * x)) / x = y * T(x,y * x). [para(18(a,1),1463(a,1,1)),flip(a)]. given #1352 (H,wt=13): 1480 T(x * T(y,x * y),y) = x * y. [para(1467(a,1),142(a,1,1))]. given #1353 (H,wt=15): 1473 x \ ((y * (x * y)) / y) = T(y,x * y). [para(18(a,1),1466(a,2,1)),flip(a)]. given #1354 (H,wt=15): 1476 (x * T(y,z)) * y = (x * y) * T(y,z). [para(18(a,1),1461(a,1,1,1))]. given #1355 (H,wt=15): 1479 (x * T(y,z)) \ ((x * y) * T(y,z)) = y. [para(18(a,1),1462(a,1,1,1))]. given #1356 (H,wt=15): 1483 (x * y) / T(y,z) = (x / T(y,z)) * y. [hyper(420,a,1476,a)]. given #1357 (H,wt=15): 1484 ((x / T(y,z)) * y) * T(y,z) = x * y. [hyper(252,a,1476,a),flip(a)]. given #1358 (H,wt=16): 1487 R(T(x,y * T(x,z)),y,T(x,z)) = T(x,y). [para(1479(a,1),832(a,1,1)),flip(a)]. given #1359 (H,wt=17): 1464 ((x \ y) * y) / (x \ y) = x * T(x \ y,y). [hyper(456,a,1463,a),flip(a)]. given #1360 (H,wt=11): 1493 T(x,y * T(y \ x,x)) = x. [para(1464(a,1),180(a,1,2))]. given #1361 (H,wt=13): 1494 T(x,x * (y * T(y \ 1,x))) = x. [para(569(a,1),1493(a,1,2))]. given #1362 (H,wt=9): 1495 T(x,x * K(y,x)) = x. [para(903(a,2),1494(a,1,2,2))]. given #1363 (H,wt=13): 1497 T(x * K(y,x),x) = x * K(y,x). [hyper(38,a,1495,a)]. given #1364 (H,wt=15): 1496 T(x,x * (y \ (z * T(z \ y,x)))) = x. [para(1071(a,1),1494(a,1,2,2))]. given #1365 (H,wt=17): 1465 T(x,y) \ ((x * y) / x) = T(y / x,T(x,y)). [hyper(147,a,1463,a,b,17,a),flip(a)]. given #1366 (H,wt=17): 1491 T(x,x / (x / T(y,x))) * T(y,x) = x * y. [para(1057(a,2),1484(a,1,1))]. given #1367 (H,wt=18): 1477 x * T(y,z) != u * y | (x / y) * T(y,z) = u. [para(1461(a,1),23(a,1))]. given #1368 (H,wt=18): 1481 x * T(y,x * y) != z | (y * (x * y)) / y = z. [para(1473(a,1),203(a,1,2)),flip(b)]. given #1369 (H,wt=18): 1485 (x * y) * T(y,z) != u * y | x * T(y,z) = u. [para(1476(a,1),23(a,1))]. given #1370 (H,wt=18): 1489 x * T(y,z) != u * y | (u / T(y,z)) * y = x. [para(1484(a,1),23(a,1)),flip(a)]. given #1371 (H,wt=18): 1490 (x * y) / T(y,z) != u | (x / T(y,z)) * y = u. [para(1484(a,1),248(a,1,1)),flip(b)]. given #1372 (H,wt=16): 1501 x / T(x,y) != z | (1 / T(x,y)) * x = z. [para(14(a,1),1490(a,1,1))]. given #1373 (H,wt=19): 1472 K(x \ (x / (x \ (x / y))),x) = x \ ((y * x) / y). [para(1463(a,1),1082(a,2,2))]. given #1374 (H,wt=19): 1492 R(T(x,L(x,y,x) * y),y,T(x,x * y)) = T(x,y). [para(559(a,1),1487(a,1,1,2))]. given #1375 (H,wt=19): 1498 T(x,x * (T(x,y) \ ((y \ x) * ((y \ x) \ x)))) = x. [para(1048(a,1),1496(a,1,2,2,2,2))]. given #1376 (H,wt=11): 1502 T(x,x * (T(x,y) \ x)) = x. [para(17(a,1),1498(a,1,2,2,2))]. given #1377 (H,wt=15): 1503 T(T(x,y),x * (T(x,z) \ x)) = T(x,y). [para(1502(a,1),41(a,1,1)),flip(a)]. given #1378 (H,wt=15): 1504 (x * (T(x,y) \ x)) \ (x * x) = T(x,y). [hyper(189,a,999,a(flip),b,1503,a(flip)),flip(a)]. given #1379 (H,wt=15): 1505 (x * x) / T(x,y) = x * (T(x,y) \ x). [para(1504(a,1),67(a,1,2))]. given #1380 (H,wt=13): 1508 T(x / T(x,y),x) = T(x,y) \ x. [hyper(147,a,1483,a(flip),b,1505,a(flip))]. given #1381 (H,wt=15): 1507 (x / T(x,y)) * x = x * (T(x,y) \ x). [hyper(1490,a,1505,a)]. given #1382 (H,wt=19): 1500 T(x,x / (x / T(y,x))) * (y * x) = x * (x * y). [para(1491(a,1),981(a,1,2)),flip(a)]. given #1383 (H,wt=19): 1511 T(x,x / (x / T(y,x))) = (x * (x * y)) / (y * x). [hyper(88,a,1500,a),flip(a)]. given #1384 (H,wt=17): 1512 (x * (x * y)) / (y * x) = (x / T(y,x)) * y. [hyper(189,a,1057,a(flip),b,1511,a(flip))]. given #1385 (H,wt=18): 1513 R(T(x,x / (1 / y)),y,x) = (x / T(y,x)) * y. [hyper(189,a,1429,a,b,1512,a(flip)),flip(a)]. given #1386 (H,wt=20): 1468 (x * y) / x != T(x,y) * z | T(y / x,T(x,y)) = z. [para(1463(a,1),148(a,2)),flip(a)]. given #1387 (H,wt=20): 1469 T(x,y) \ ((x * y) / x) != z | T(y / x,T(x,y)) = z. [para(1463(a,1),238(a,1,2))]. given #1388 (H,wt=20): 1488 (x * y) / T(y,z) != y * u | T(x / T(y,z),y) = u. [para(1483(a,2),148(a,2)),flip(a)]. given #1389 (H,wt=21): 1478 (x * T(T(y,x),z)) * T(y,x) = (y * x) * T(T(y,x),z). [para(129(a,1),1461(a,1,1,1))]. given #1390 (H,wt=19): 1514 (T(x,y) * z) * T(x,z) = (x * z) * T(T(x,z),y). [para(158(a,1),1478(a,1,1))]. given #1391 (H,wt=15): 1515 T(T(x,x * y) * y,T(x,y)) = x * y. [hyper(147,a,1514,a,b,113,a(flip))]. given #1392 (H,wt=18): 1519 T(x * y,R(x,y,y \ 1)) = T(x * y,T(x,y)). [para(1515(a,1),1370(a,1,1))]. given #1393 (H,wt=21): 1486 (x * (y / z)) * T(y / z,z) = (x * (z \ y)) * (y / z). [para(115(a,1),1476(a,1,1,2)),flip(a)]. given #1394 (H,wt=19): 1521 (x * (y / z)) * (z \ y) = (x * (z \ y)) * (y / z). [para(115(a,1),1486(a,1,2))]. given #1395 (H,wt=17): 1524 (1 / (x / y)) * (y \ x) = (y \ x) / (x / y). [hyper(423,a,1521,a),flip(a)]. given #1396 (H,wt=19): 1525 (x * (y \ z)) / (z / y) = (x / (z / y)) * (y \ z). [hyper(420,a,1521,a)]. given #1397 (H,wt=21): 1510 T(x,y) * T(T(x,y) \ x,x) = (T(x,y) \ x) * T(x,y). [para(1508(a,1),323(a,1,1)),flip(a)]. given #1398 (H,wt=21): 1516 T(T(x,x \ 1),y) / T(x,x \ 1) = T(x,y) * (x \ 1). [hyper(76,a,61,a(flip),b,1514,a)]. given #1399 (H,wt=19): 1528 T(T(x,x \ 1),y) / T(x,x \ 1) = x \ T(x,y). [hyper(189,a,773,a(flip),b,1516,a)]. given #1400 (H,wt=21): 1526 (x \ y) \ ((x \ y) / (y / x)) = T(1 / (y / x),x \ y). [hyper(147,a,1524,a,b,17,a),flip(a)]. given #1401 (H,wt=21): 1529 K(T(1 / (1 / x),x \ 1),x \ 1) = T(x,x \ 1) / x. [para(1526(a,1),889(a,1,1))]. given #1402 (H,wt=13): 1530 T(x,x \ 1) / x = K(x,x \ 1). [para(952(a,1),1529(a,1,1)),flip(a)]. given #1403 (H,wt=11): 1531 K(x,1 / x) = K(x,x \ 1). [hyper(602,a,1530,a)]. given #1404 (H,wt=11): 1535 K(x,x \ 1) = x * (1 / x). [hyper(305,a,1531,a),flip(a)]. given #1405 (H,wt=11): 1537 x \ K(x,x \ 1) = 1 / x. [hyper(75,a,1531,a(flip),b,168,a(flip))]. given #1406 (H,wt=13): 1532 K(x,x \ 1) * x = T(x,x \ 1). [para(1530(a,1),19(a,1,1))]. given #1407 (H,wt=13): 1533 ((x \ 1) \ 1) / x = K(x,x \ 1). [para(114(a,1),1530(a,1,1))]. given #1408 (H,wt=13): 1540 K(x,x \ 1) * x = (x \ 1) \ 1. [para(1531(a,1),492(a,1,1))]. given #1409 (H,wt=13): 1541 (x \ 1) * K(x,x \ 1) = 1 / x. [para(1531(a,1),1091(a,1,2))]. given #1410 (H,wt=13): 1545 K(x \ 1,x) \ 1 = x * (1 / x). [hyper(189,a,321,a,b,1535,a(flip)),flip(a)]. given #1411 (H,wt=14): 1534 K(x,x \ 1) != y | K(x,1 / x) = y. [para(1530(a,1),602(a,1))]. given #1412 (H,wt=14): 1539 K(x,x \ 1) != y | x * (1 / x) = y. [para(1531(a,1),305(a,1))]. given #1413 (H,wt=14): 1546 K(x,x \ 1) != x * y | 1 / x = y. [para(1535(a,2),22(a,1))]. given #1414 (H,wt=14): 1554 x * (1 / x) != y | K(x,x \ 1) = y. [para(1537(a,1),203(a,1,2)),flip(b)]. given #1415 (H,wt=14): 1559 K(x,1 / x) != y | K(x,x \ 1) = y. [para(168(a,2),1554(a,1))]. given #1416 (H,wt=15): 1536 K((x / y) \ x,1 / y) = K(y,y \ 1). [hyper(189,a,1216,a,b,1531,a(flip)),flip(a)]. given #1417 (H,wt=15): 1538 K(x \ 1,(x \ 1) \ 1) = K(x \ 1,x). [para(67(a,1),1531(a,1,2)),flip(a)]. given #1418 (H,wt=15): 1544 (1 / (1 / (1 / x))) * x = K(x,x \ 1). [hyper(189,a,955,a,b,1535,a),flip(a)]. given #1419 (H,wt=16): 1557 ((x \ 1) \ 1) / x != y | K(x,x \ 1) = y. [para(1540(a,1),248(a,1,1)),flip(b)]. given #1420 (H,wt=18): 1560 (1 / (1 / (1 / x))) * x != y | K(x,x \ 1) = y. [para(955(a,2),1554(a,1))]. given #1421 (H,wt=19): 1552 (x * K(y,y \ 1)) * y = (x * y) * (y * (1 / y)). [para(1535(a,2),1424(a,1,1,2))]. given #1422 (H,wt=19): 1562 (x * K(y,y \ 1)) * y = (x * y) * K(y,y \ 1). [para(1535(a,2),1552(a,2,2))]. given #1423 (H,wt=19): 1564 (x * K(y,y \ 1)) \ ((x * y) * K(y,y \ 1)) = y. [hyper(80,a,1562,a)]. given #1424 (H,wt=20): 1547 R(x,y,1 / y) * K(y,y \ 1) = (x * y) * (1 / y). [para(1535(a,2),110(a,1,2))]. given #1425 (H,wt=20): 1555 x \ ((x / y) * K(y,y \ 1)) = L(1 / y,y,x / y). [para(1537(a,1),364(a,1,1)),flip(a)]. given #1426 (H,wt=20): 1566 R(T(x,y * K(x,x \ 1)),y,K(x,x \ 1)) = T(x,y). [para(1564(a,1),832(a,1,1)),flip(a)]. given #1427 (H,wt=21): 1551 L(x,y,z) \ K(x,x \ 1) = x * (L(x,y,z) \ (1 / x)). [para(1535(a,2),963(a,1,2))]. given #1428 (H,wt=21): 1563 x \ ((y * x) * K(x,x \ 1)) = T(y * K(x,x \ 1),x). [hyper(147,a,1562,a,b,17,a),flip(a)]. given #1429 (H,wt=21): 1567 T((x / y) * K(y,y \ 1),y) = y \ (x * K(y,y \ 1)). [para(19(a,1),1563(a,1,2,1)),flip(a)]. given #1430 (H,wt=22): 1482 x * T(y,x * y) != z * u | ((y * (x * y)) / y) / u = z. [para(1473(a,1),298(a,1,2))]. given #1431 (H,wt=22): 1517 (x * y) * T(T(x,y),z) != u * T(x,y) | T(x,z) * y = u. [para(1514(a,1),23(a,1))]. given #1432 (H,wt=22): 1520 T((x / y) * y,T(x / y,y)) = T(x,R(x / y,y,y \ 1)). [para(19(a,1),1519(a,1,1)),flip(a)]. given #1433 (H,wt=19): 1568 T((x / y) * y,T(x / y,y)) = T(x,x * (y \ 1)). [para(445(a,1),1520(a,2,2))]. given #1434 (H,wt=15): 1569 T(x,T(x / y,y)) = T(x,x * (y \ 1)). [para(19(a,1),1568(a,1,1))]. given #1435 (H,wt=13): 1570 T(x,x * (y \ 1)) = T(x,y \ x). [para(115(a,1),1569(a,1,2)),flip(a)]. given #1436 (H,wt=22): 1542 T(x,y) \ K(x,x \ 1) != z | x * (T(x,y) \ (1 / x)) = z. [para(1531(a,1),1059(a,1,2))]. given #1437 (H,wt=22): 1553 x * L(x \ (y \ x),y,y \ 1) = K(y,y \ 1) * (y \ x). [para(1535(a,2),1444(a,2,1))]. given #1438 (H,wt=19): 1571 x * (K(x,x \ 1) * (x \ y)) = (x * (1 / x)) * y. [para(1553(a,1),1445(a,1,2))]. given #1439 (H,wt=13): 1572 K(x,x \ 1) * (x \ 1) = 1 / x. [hyper(20,a,15,a(flip),b,1571,a)]. given #1440 (H,wt=19): 1573 x * (K(x,x \ 1) * (x \ y)) = K(x,x \ 1) * y. [para(1535(a,2),1571(a,2,1))]. given #1441 (H,wt=19): 1575 K(x,x \ 1) * (x * y) = x * (K(x,x \ 1) * y). [para(16(a,1),1573(a,1,2,2)),flip(a)]. given #1442 (H,wt=22): 1577 K(x,x \ 1) * y != x * (K(x,x \ 1) * z) | x * z = y. [para(1575(a,1),22(a,1)),flip(a)]. given #1443 (H,wt=23): 1458 (x * T(x \ (y * z),u)) / z = (x / z) * T((x / z) \ y,u). [hyper(76,a,323,a(flip),b,1456,a)]. given #1444 (H,wt=21): 1578 (x / y) * T((x / y) \ 1,z) = (x * T(x \ y,z)) / y. [para(14(a,1),1458(a,1,1,2,1,2)),flip(a)]. given #1445 (H,wt=19): 1582 K(x \ (x / (y / z)),x) = (y * T(y \ z,x)) / z. [hyper(888,a,1578,a)]. given #1446 (H,wt=19): 1584 K(x \ (x / (y / z)),x) * z = y * T(y \ z,x). [para(1582(a,2),19(a,1,1))]. given #1447 (H,wt=21): 1579 (x / y) * T((x / y) \ z,x) = ((x \ (z * y)) * x) / y. [para(113(a,1),1458(a,1,1)),flip(a)]. given #1448 (H,wt=21): 1587 K((x / y) \ 1,x / y) * y = x * T(x \ y,x / y). [para(64(a,1),1584(a,1,1,1,2))]. given #1449 (H,wt=23): 1474 (x * L(x \ (y * x),z,u)) / y = (x / y) * L(T(y,x),z,u). [para(1466(a,2),1333(a,1,2,1)),flip(a)]. given #1450 (H,wt=19): 1589 (x / y) * L(T(y,x),z,u) = (L(y,z,u) * x) / y. [para(500(a,1),1474(a,1,1)),flip(a)]. given #1451 (H,wt=21): 1590 (L(x,y,z) * (u * x)) / x = u * L(T(x,u * x),y,z). [para(18(a,1),1589(a,1,1)),flip(a)]. given #1452 (H,wt=23): 1475 ((x * (1 / T(x,y))) / x) * T(x,y) = T(x,T(x,y) \ 1) / x. [para(1065(a,1),1460(a,1,1,1))]. given #1453 (H,wt=23): 1522 (x * (y \ (y * z))) * ((y * z) / y) = (x * ((y * z) / y)) * z. [para(142(a,1),1486(a,1,2)),flip(a)]. given #1454 (H,wt=19): 1593 (x * ((y * z) / y)) * z = (x * z) * ((y * z) / y). [para(16(a,1),1522(a,1,1,2)),flip(a)]. given #1455 (H,wt=17): 1594 (1 / ((x * y) / x)) * y = y / ((x * y) / x). [hyper(423,a,1593,a),flip(a)]. given #1456 (H,wt=21): 1595 ((x / y) * y) * ((x * y) / x) = T(x,x / (x / y)) * y. [para(1042(a,1),1593(a,1,1)),flip(a)]. given #1457 (H,wt=17): 1596 T(x,x / (x / y)) * y = x * ((x * y) / x). [hyper(252,a,1595,a),flip(a)]. given #1458 (H,wt=17): 1597 T(x,x / (x / y)) * (x \ y) = (x * y) / x. [hyper(980,a,1596,a)]. given #1459 (H,wt=17): 1599 ((x * y) / x) / (x \ y) = T(x,x / (x / y)). [hyper(88,a,1597,a)]. given #1460 (H,wt=17): 1601 T(x,x / (1 / (x \ y))) = T(x,x / (x / y)). [hyper(189,a,1428,a,b,1599,a(flip)),flip(a)]. given #1461 (H,wt=17): 1602 T(x,x / (x / (x * y))) = T(x,x / (1 / y)). [para(16(a,1),1601(a,1,2,2,2)),flip(a)]. given #1462 (H,wt=20): 1600 (x * y) / x != z * (x \ y) | T(x,x / (x / y)) = z. [para(1597(a,1),23(a,1))]. given #1463 (H,wt=23): 1523 (x * ((y / z) \ y)) * (y / (y / z)) = (x * (y / (y / z))) * z. [para(164(a,1),1486(a,1,2)),flip(a)]. given #1464 (H,wt=19): 1603 ((x / y) * (x / (x / y))) * y = x * (x / (x / y)). [hyper(411,a,1523,a),flip(a)]. given #1465 (H,wt=19): 1604 (x * (y / (y / z))) * z = (x * z) * (y / (y / z)). [para(69(a,1),1523(a,1,1,2)),flip(a)]. given #1466 (H,wt=17): 1606 (1 / (x / (x / y))) * y = y / (x / (x / y)). [hyper(423,a,1604,a),flip(a)]. given #1467 (H,wt=13): 1607 x / (1 / (1 / x)) = K(x,x \ 1). [hyper(1560,a,1606,a),flip(a)]. given #1468 (H,wt=13): 1608 x / (1 / (1 / x)) = K(x,1 / x). [hyper(189,a,1531,a,b,1607,a)]. given #1469 (H,wt=13): 1609 K(x,x \ 1) * (1 / (1 / x)) = x. [para(1607(a,1),19(a,1,1))]. given #1470 (H,wt=13): 1610 K(x,1 / x) * (1 / (1 / x)) = x. [para(1608(a,1),19(a,1,1))]. given #1471 (H,wt=12): 1613 L(x,1 / x,x) = 1 / (1 / x). [hyper(466,a,1610,a)]. given #1472 (H,wt=16): 1614 L(T(x,y),1 / x,x) = T(1 / (1 / x),y). [para(1613(a,1),43(a,2,1))]. given #1473 (H,wt=21): 1615 K(x,1 / x) \ (x * (T(x,y) / x)) = T(1 / (1 / x),y). [hyper(189,a,808,a,b,1614,a(flip)),flip(a)]. given #1474 (H,wt=21): 1616 K(x,1 / x) * T(1 / (1 / x),y) = x * (T(x,y) / x). [para(1615(a,1),17(a,1,2))]. given #1475 (H,wt=21): 1617 K(x,x \ 1) * T(1 / (1 / x),y) = x * (T(x,y) / x). [para(1531(a,1),1616(a,1,1))]. given #1476 (H,wt=23): 1548 K(x,x \ 1) * y != x * ((1 / x) * z) | L(z,1 / x,x) = y. [para(1535(a,2),346(a,1,1))]. given #1477 (H,wt=23): 1549 (x * y) * (1 / y) != z * K(y,y \ 1) | R(x,y,1 / y) = z. [para(1535(a,2),376(a,2,2))]. given #1478 (H,wt=23): 1591 T(x * L(T(y,x * y),z,u),y) = y \ (L(y,z,u) * (x * y)). [para(1590(a,1),115(a,1,1))]. given #1479 (H,wt=23): 1592 T(x,y) * ((x * (T(x,y) \ 1)) / x) = T(x,T(x,y) \ 1) / x. [hyper(761,a,1475,a)]. given #1480 (H,wt=21): 1619 T(x,y) * ((T(x,y) \ x) / x) = T(x,T(x,y) \ 1) / x. [para(987(a,1),1592(a,1,2,1))]. given #1481 (H,wt=21): 1620 x * (T(x,T(x,y) \ 1) / x) = T(x,x / (x * T(x,y))). [para(1592(a,1),1400(a,1,2))]. given #1482 (H,wt=21): 1621 (T(x,T(x,y) \ 1) / x) * x = T(x,x / (x * T(x,y))). [para(1619(a,1),1365(a,1,1))]. given #1483 (H,wt=17): 1622 T(x,x / (x * T(x,y))) = T(x,T(x,y) \ 1). [hyper(200,a,1621,a)]. given #1484 (H,wt=19): 1624 x * (T(x,T(x,y) \ 1) / x) = T(x,T(x,y) \ 1). [hyper(189,a,1620,a,b,1622,a(flip)),flip(a)]. given #1485 (H,wt=21): 1625 x * (T(x,y) * ((T(x,y) \ x) / x)) = T(x,T(x,y) \ 1). [para(1619(a,2),1624(a,1,2))]. given #1486 (H,wt=23): 1618 T(x * L(T(y,x * y),z,u),y) = L(y,z,u) * (y \ (x * y)). [hyper(189,a,961,a(flip),b,1591,a)]. given #1487 (H,wt=21): 1626 T(x * L(T(y,x * y),z,u),y) = L(y,z,u) * T(x,y). [para(35(a,2),1618(a,2,2))]. given #1488 (H,wt=24): 1527 (x \ y) / (y / x) != (x \ y) * z | T(1 / (y / x),x \ y) = z. [para(1524(a,1),148(a,2)),flip(a)]. given #1489 (H,wt=24): 1543 R(x \ 1,x,y) \ (((y / (x * y)) * x) * (1 / x)) = K(x,x \ 1). [hyper(189,a,1095,a,b,1535,a),flip(a)]. given #1490 (H,wt=24): 1558 ((x \ 1) \ 1) / L(y \ x,y,K(x,x \ 1)) = K(x,x \ 1) * y. [para(1540(a,1),341(a,1,1))]. given #1491 (H,wt=24): 1565 (x * y) * K(y,y \ 1) != y * z | T(x * K(y,y \ 1),y) = z. [para(1562(a,1),148(a,2)),flip(a)]. given #1492 (H,wt=24): 1611 L(1 / (1 / x),K(x,x \ 1),y) = (y * K(x,x \ 1)) \ (y * x). [para(1609(a,1),31(a,2,2,2))]. given #1493 (H,wt=25): 1499 (x \ y) \ K(T(x / y,T(y,x)),T(y,x)) = T((x \ y) \ 1,T(y,x)). [para(1465(a,1),1038(a,1,2,1))]. given #1494 (H,wt=25): 1561 (K(x,x \ 1) * y) / (x * y) != z | R(1 / (1 / (1 / x)),x,y) = z. [para(1544(a,1),385(a,1,1,1))]. given #1495 (H,wt=25): 1627 (x \ y) * T((x \ y) \ 1,T(y,x)) = K(T(x / y,T(y,x)),T(y,x)). [para(1499(a,1),17(a,1,2))]. given #1496 (H,wt=23): 1628 K(T(x / y,T(y,x)),T(y,x)) = x \ (y * T(y \ x,T(y,x))). [hyper(189,a,1071,a(flip),b,1627,a(flip))]. given #1497 (H,wt=26): 1518 T(x,y) * z != (x * y) * T(T(x,y),u) | T(T(x,u) * y,T(x,y)) = z. [para(1514(a,1),148(a,2))]. given #1498 (H,wt=27): 1556 T(x,x \ 1) * y != K(x,x \ 1) * (x * z) | L(z,x,K(x,x \ 1)) = y. [para(1532(a,1),346(a,1,1))]. given #1499 (H,wt=27): 1576 (x \ 1) * (K(x \ 1,x) * ((x \ 1) \ y)) = K(x \ 1,(x \ 1) \ 1) * y. [para(1538(a,1),1573(a,1,2,1))]. given #1500 (H,wt=23): 1630 (x \ 1) * (K(x \ 1,x) * ((x \ 1) \ y)) = K(x \ 1,x) * y. [para(1538(a,1),1576(a,2,1))]. given #1501 (H,wt=23): 1631 (x \ 1) \ (K(x \ 1,x) * y) = K(x \ 1,x) * ((x \ 1) \ y). [hyper(80,a,1630,a)]. given #1502 (H,wt=27): 1580 ((x * y) / z) * T(((x * y) / z) \ x,u) = (x * (y * T(y \ z,u))) / z. [para(712(a,1),1458(a,1,1)),flip(a)]. given #1503 (H,wt=27): 1583 K((x * (y / z)) \ x,x * (y / z)) = (y * T(y \ z,x * (y / z))) / z. [hyper(189,a,844,a,b,1578,a(flip)),flip(a)]. given #1504 (H,wt=27): 1586 K(x \ (x / ((y \ x) / T(x,y))),x) = ((y \ x) * ((y \ x) \ x)) / T(x,y). [para(1048(a,1),1582(a,2,1,2))]. given #1505 (H,wt=19): 1632 K(x \ (x / ((y \ x) / T(x,y))),x) = x / T(x,y). [para(17(a,1),1586(a,2,1))]. given #1506 (H,wt=27): 1588 K((x / (y * x)) \ 1,x / (y * x)) * (y * x) = T(y,x / (y * x)) * x. [hyper(189,a,322,a(flip),b,1587,a)]. given #1507 (H,wt=27): 1629 T(x,x \ 1) * y != x * (K(x,x \ 1) * z) | L(z,x,K(x,x \ 1)) = y. [para(1575(a,1),1556(a,2))]. given #1508 (H,wt=28): 664 R(R(x / y,y,z),u,w) * (y * z) = (y * z) * R((y * z) \ (x * z),u,w). [para(111(a,2),510(a,1,1,1))]. given #1509 (H,wt=25): 1633 (x * y) * R((x * y) \ (z * y),u,w) = (R(z / x,u,w) * x) * y. [hyper(639,a,664,a),flip(a)]. given #1510 (H,wt=25): 1634 (x * y) * R((x * y) \ (z * y),u,w) = (x * R(x \ z,u,w)) * y. [para(510(a,1),1633(a,2,1))]. given #1511 (H,wt=21): 1640 (x * R(x \ (x * y),z,u)) * y = (x * y) * R(y,z,u). [para(16(a,1),1634(a,1,2,1)),flip(a)]. given #1512 (H,wt=17): 1643 (x * R(y,z,u)) * y = (x * y) * R(y,z,u). [para(16(a,1),1640(a,1,1,2,1))]. given #1513 (H,wt=17): 1644 ((x / R(y,z,u)) * y) \ (x * y) = R(y,z,u). [hyper(430,a,1643,a)]. given #1514 (H,wt=17): 1645 (x * R(y,z,u)) \ ((x * y) * R(y,z,u)) = y. [hyper(80,a,1643,a)]. given #1515 (H,wt=17): 1646 (x * R(y,z,u)) / y = (x / y) * R(y,z,u). [hyper(76,a,90,a(flip),b,1643,a)]. given #1516 (H,wt=17): 1647 ((x / y) * R(y,z,u)) \ (x * R(y,z,u)) = y. [hyper(75,a,90,a(flip),b,1643,a)]. given #1517 (H,wt=20): 1649 (x * y) / R(y,z,u) != w | (x / R(y,z,u)) * y = w. [para(1644(a,1),246(a,1,2)),flip(b)]. given #1518 (H,wt=23): 1637 x * R(x \ (x \ (y * x)),z,u) = T(x * R(x \ y,z,u),x). [hyper(147,a,1634,a(flip),b,810,a(flip)),flip(a)]. given #1519 (H,wt=21): 1651 T(x * R(x \ y,z,u),x) = x * R(x \ T(y,x),z,u). [para(35(a,2),1637(a,1,2,1,2)),flip(a)]. given #1520 (H,wt=19): 1652 T(x * R(x \ 1,y,z),x) = x * R(x \ 1,y,z). [para(191(a,1),1651(a,2,2,1,2))]. given #1521 (H,wt=12): 1653 T(x,x * R(x \ 1,y,z)) = x. [hyper(38,a,1652,a)]. given #1522 (H,wt=11): 1656 T(x,(y / (x * y)) * x) = x. [para(522(a,2),1653(a,1,2))]. given #1523 (H,wt=14): 1658 T(x \ 1,x \ R(x,y,z)) = x \ 1. [para(865(a,1),1653(a,1,2))]. given #1524 (H,wt=16): 1655 T(1 / x,(1 / x) * R(x,y,z)) = 1 / x. [para(69(a,1),1653(a,1,2,2,1))]. given #1525 (H,wt=16): 1657 T(x \ 1,R(x,y,z) * (x \ 1)) = x \ 1. [para(513(a,1),1653(a,1,2))]. given #1526 (H,wt=18): 1660 T(T(x \ 1,y),x \ R(x,z,u)) = T(x \ 1,y). [para(1658(a,1),41(a,1,1)),flip(a)]. given #1527 (H,wt=20): 1662 R(x \ 1,R(x,y,z),x \ 1) = T(x \ 1,R(x,y,z)). [para(1657(a,1),615(a,1,1))]. given #1528 (H,wt=23): 1639 (x * y) * R((x * y) \ y,z,u) = (x * R(x \ 1,z,u)) * y. [para(14(a,1),1634(a,1,2,1,2))]. given #1529 (H,wt=23): 1648 (x * T(y,x)) * R(T(y,x),z,u) = (R(y,z,u) * x) * T(y,x). [para(160(a,1),1643(a,1,1)),flip(a)]. given #1530 (H,wt=21): 1664 (R(x,y,z) * u) * T(x,u) = (x * u) * R(T(x,u),y,z). [para(113(a,1),1648(a,1,1)),flip(a)]. given #1531 (H,wt=25): 1636 x * (y * R(y \ (x \ (z * y)),u,w)) = (x * R(x \ z,u,w)) * y. [hyper(189,a,810,a(flip),b,1634,a(flip)),flip(a)]. given #1532 (H,wt=25): 1650 (x * T(x \ (x * y),z)) * R(y,u,w) = (x * R(y,u,w)) * T(y,z). [para(1645(a,1),1100(a,1,2,1)),flip(a)]. given #1533 (H,wt=21): 1665 (x * T(y,z)) * R(y,u,w) = (x * R(y,u,w)) * T(y,z). [para(16(a,1),1650(a,1,1,2,1))]. given #1534 (H,wt=19): 1666 (x * R(y,z,u)) * T(y,x) = (y * x) * R(y,z,u). [para(113(a,1),1665(a,1,1)),flip(a)]. given #1535 (H,wt=25): 1659 T(x,y / (x * y)) * T(y / (x * y),x) = T(x * (y / (x * y)),x). [para(1656(a,1),1014(a,1,1,1)),flip(a)]. given #1536 (H,wt=24): 1669 T(x,y / (x * y)) * R(x \ 1,x,y) = T(x * (y / (x * y)),x). [para(517(a,1),1659(a,1,2))]. given #1537 (H,wt=25): 1661 (R(x,y,z) * (1 / x)) / R(x,y,z) = L(1 / x,R(x,y,z),1 / x). [para(1655(a,1),561(a,1,1,2))]. given #1538 (H,wt=25): 1667 R(x,y,R(x,z,u)) * (y * R(x,z,u)) = (y * R(x,z,u)) * T(x,y). [hyper(189,a,110,a,b,1666,a),flip(a)]. given #1539 (H,wt=25): 1670 T(L(1 / x,R(x,y,z),1 / x),x) = (x \ R(x,y,z)) / R(x,y,z). [para(1661(a,1),873(a,1,1))]. given #1540 (H,wt=23): 1671 L(x \ 1,R(x,y,z),1 / x) = (x \ R(x,y,z)) / R(x,y,z). [hyper(674,a,1670,a)]. given #1541 (H,wt=27): 1654 T(x * ((x * R(x \ 1,y,z)) / x),x) = x * ((x * R(x \ 1,y,z)) / x). [para(1652(a,1),1176(a,2,2,1))]. given #1542 (H,wt=23): 1672 T(x * ((x * R(x \ 1,y,z)) / x),x) = x * R(1 / x,y,z). [para(516(a,1),1654(a,2,2))]. given #1543 (H,wt=19): 1673 T(x * R(1 / x,y,z),x) = x * R(1 / x,y,z). [para(516(a,1),1672(a,1,1,2))]. given #1544 (H,wt=18): 1674 T(x * (y / (x * y)),x) = x * R(1 / x,x,y). [para(141(a,1),1673(a,1,1,2))]. given #1545 (H,wt=17): 1675 T(x * (y / (x * y)),x) = x * (y / (x * y)). [para(141(a,1),1674(a,2,2))]. given #1546 (H,wt=11): 1676 T(x,x * (y / (x * y))) = x. [hyper(38,a,1675,a)]. given #1547 (H,wt=11): 1678 T(x,x * ((x \ y) / y)) = x. [para(17(a,1),1676(a,1,2,2,2))]. given #1548 (H,wt=15): 1679 T(x / y,(x / y) * (y / x)) = x / y. [para(19(a,1),1676(a,1,2,2,2))]. given #1549 (H,wt=17): 1681 T(x \ y,(y / x) * (x / y)) = T(y / x,x). [para(1679(a,1),161(a,1,1)),flip(a)]. given #1550 (H,wt=15): 1682 T(x \ y,(y / x) * (x / y)) = x \ y. [hyper(189,a,115,a(flip),b,1681,a)]. given #1551 (H,wt=19): 1680 T((x \ y) \ y,x * ((x \ z) / z)) = T(x,x \ y). [para(1678(a,1),221(a,1,1)),flip(a)]. given #1552 (H,wt=22): 1677 T(x,y / (x * y)) * R(x \ 1,x,y) = x * (y / (x * y)). [hyper(189,a,1669,a,b,1675,a(flip)),flip(a)]. given #1553 (H,wt=27): 1663 x * ((x * y) * R((x * y) \ y,z,u)) = (x * R(x \ 1,z,u)) * (x * y). [hyper(189,a,809,a(flip),b,1639,a(flip)),flip(a)]. given #1554 (H,wt=25): 1685 (x * R(x \ 1,y,z)) * (x * u) = x * ((x * R(x \ 1,y,z)) * u). [para(1639(a,1),1663(a,1,2)),flip(a)]. given #1555 (H,wt=27): 1683 K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)) = (y * (y \ x)) / x. [para(1682(a,1),1583(a,2,1,2))]. given #1556 (H,wt=23): 1687 K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)) = x / x. [para(17(a,1),1683(a,2,1))]. given #1557 (H,wt=21): 1688 K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)) = 1. [hyper(189,a,64,a(flip),b,1687,a)]. given #1558 (H,wt=28): 677 ((x * y) * R(L(z,y,x),u,w)) / (x * y) = R((x * (y * z)) / (x * y),u,w). [para(31(a,2),516(a,1,1,2,1))]. given #1559 (H,wt=25): 1690 R((x * (y * z)) / (x * y),u,w) = (x * (y * R(z,u,w))) / (x * y). [para(351(a,1),677(a,1,1)),flip(a)]. given #1560 (H,wt=28): 799 T((T(x,y) * (1 / x)) / T(x,y),T(x,y) / x) = L(1 / x,T(x,y),1 / x). [para(793(a,1),563(a,1,2))]. given #1561 (H,wt=22): 1691 (T(x,y) * (1 / x)) / T(x,y) = L(1 / x,T(x,y),1 / x). [hyper(189,a,1141,a(flip),b,799,a(flip)),flip(a)]. given #1562 (H,wt=24): 1693 T(L(1 / x,T(x,y),1 / x),x) = (T(x,y) * (x \ 1)) / T(x,y). [para(1691(a,1),546(a,1,1))]. given #1563 (H,wt=22): 1694 (T(x,y) * (x \ 1)) / T(x,y) = L(x \ 1,T(x,y),1 / x). [hyper(674,a,1693,a),flip(a)]. given #1564 (H,wt=20): 1695 x * L(x \ 1,T(x,y),1 / x) = K(T(x,y),1 / x). [para(1694(a,1),1322(a,1,2))]. given #1565 (H,wt=28): 941 (x / y) \ T(x,(x / y) \ 1) != z | (((x / y) \ 1) \ y) * ((x / y) \ 1) = z. [para(19(a,1),772(a,1,2,1))]. given #1566 (H,wt=28): 944 x * L(T(T((y \ x) \ x,z),u),y \ x,y) = y * (T(T(y,z),u) * (y \ x)). [para(534(a,1),344(a,2,2))]. given #1567 (H,wt=23): 1696 x * T(T(x \ (y * x),z),u) = y * (T(T(y,z),u) * (y \ x)). [para(825(a,1),944(a,1,2))]. given #1568 (H,wt=21): 1697 x * T(T(T(y,x),z),u) = y * (T(T(y,z),u) * (y \ x)). [para(35(a,2),1696(a,1,2,1,1))]. given #1569 (H,wt=19): 1698 x * (T(T(x,y),z) * (x \ u)) = T(T(x,y),z) * u. [hyper(572,a,1697,a),flip(a)]. given #1570 (H,wt=28): 948 (x * y) * R((x * y) \ (x * z),u,w) != v5 | x * (y * R(y \ z,u,w)) = v5. [para(104(a,1),642(a,1,2,1))]. given #1571 (H,wt=28): 949 (x * y) * R((x * y) \ z,u,w) != v5 | x * (y * R(y \ (x \ z),u,w)) = v5. [para(183(a,1),642(a,1,2,1))]. given #1572 (H,wt=28): 1120 (x * y) * T((x * y) \ (z * y),u) != y * w | T(x * T(x \ z,u),y) = w. [para(1100(a,2),148(a,2)),flip(a)]. given #1573 (H,wt=28): 1193 (K(x \ 1,x) * y) \ (x * (K(x \ 1,x) * y)) = L(T(x,y),y,K(x \ 1,x)). [para(1191(a,1),154(a,1,2))]. given #1574 (H,wt=23): 1699 L(T(x,y),y,K(x \ 1,x)) != z | T(x,K(x \ 1,x) * y) = z. [para(1193(a,1),238(a,1))]. given #1575 (H,wt=28): 1236 ((x \ y) * (y \ x)) * z != x \ y | T(1 / (y \ x),(x \ y) * (y \ x)) = z. [para(1233(a,1),148(a,2))]. given #1576 (H,wt=28): 1341 (x * y) * L((x * y) \ y,z,u) != y * w | T(x * L(x \ 1,z,u),y) = w. [para(1337(a,2),148(a,2)),flip(a)]. given #1577 (H,wt=28): 1355 x * L(x \ T(y,x),z,u) != w * v5 | w \ T(x * L(x \ y,z,u),x) = v5. [para(1353(a,1),301(a,1,2))]. given #1578 (H,wt=28): 1396 (x * ((x \ y) / y)) * z != x | T(1 / ((x \ y) / y),x * ((x \ y) / y)) = z. [para(1393(a,1),148(a,2))]. given #1579 (H,wt=28): 1470 (L(x \ 1,x,y) * y) / L(x \ 1,x,y) = (y * x) * T(L(x \ 1,x,y),y). [para(283(a,1),1463(a,1,1)),flip(a)]. given #1580 (H,wt=25): 1700 (L(x \ 1,x,y) * y) / L(x \ 1,x,y) = y * (x * T(x \ 1,y)). [hyper(189,a,350,a(flip),b,1470,a)]. given #1581 (H,wt=28): 1506 (x * (((T(y,x) \ y) * x) \ x)) \ (x * x) = T(x,R(T(y,x),T(y,x) \ 1,x)). [para(1299(a,1),1504(a,1,1,2,1))]. given #1582 (H,wt=23): 1702 (x * (((T(y,x) \ y) * x) \ x)) \ (x * x) = (T(y,x) \ y) * x. [hyper(189,a,1299,a(flip),b,1506,a)]. given #1583 (H,wt=28): 1574 (1 / x) / L(y,(x \ 1) / y,K(x,x \ 1)) = K(x,x \ 1) * ((x \ 1) / y). [para(1572(a,1),398(a,1,1))]. given #1584 (H,wt=28): 1612 x * L(y,1 / (1 / x),K(x,x \ 1)) = K(x,x \ 1) * ((1 / (1 / x)) * y). [para(1609(a,1),102(a,1,1))]. given #1585 (H,wt=28): 1668 (x * R(y,z,u)) * T(y,x) != w * (x * R(y,z,u)) | R(y,x,R(y,z,u)) = w. [para(1666(a,2),376(a,1))]. given #1586 (H,wt=29): 499 (x * (L(y,z,u) * w)) \ ((x * w) * L(T(y,w),z,u)) = a(x,w,L(T(y,w),z,u)). [para(159(a,1),27(a,2,1,2)),flip(a)]. given #1587 (H,wt=29): 581 a(x,y,z) = L(((x * y) \ (x * (y * z))) \ z,(x * y) \ (x * (y * z)),x * y). [hyper(189,a,27,a,b,359,a),flip(a)]. given #1588 (H,wt=24): 1704 a(x,y,z) = L(L(z,y,x) \ z,(x * y) \ (x * (y * z)),x * y). [para(31(a,2),581(a,2,1,1))]. given #1589 (H,wt=29): 830 ((x / y) * (y / ((x / y) * y))) / (x / y) = (((x / y) * (1 / (x / y))) * y) / x. [hyper(189,a,391,a(flip),b,695,a(flip))]. given #1590 (H,wt=25): 1705 (((x / y) * (1 / (x / y))) * y) / x = ((x / y) * (y / x)) / (x / y). [para(19(a,1),830(a,1,1,2,2)),flip(a)]. given #1591 (H,wt=25): 1706 (K(x / y,(x / y) \ 1) * y) / x = ((x / y) * (y / x)) / (x / y). [para(1535(a,2),1705(a,1,1,1))]. given #1592 (H,wt=29): 1116 (x * ((y / (y / x)) * z)) \ ((x * z) * (y / (y / x))) = K(x * z,y / (y / x)). [para(1113(a,1),29(a,2,1)),flip(a)]. given #1593 (H,wt=29): 1157 (x \ 1) * ((x \ T(x,y)) * ((x \ 1) \ z)) = ((x \ 1) * T((x \ 1) \ 1,y)) * z. [para(918(a,2),1125(a,1,2))]. given #1594 (H,wt=23): 1707 (x \ 1) * ((x \ T(x,y)) * ((x \ 1) \ z)) = (x \ T(x,y)) * z. [para(770(a,1),1157(a,2,1))]. given #1595 (H,wt=29): 1220 (L(x,y \ z,y) * z) \ (x * (y * (y \ z))) = a(y,y \ z,T(x,y * (y \ z))). [para(17(a,1),1219(a,1,1,2))]. given #1596 (H,wt=25): 1709 a(x,x \ y,T(z,x * (x \ y))) = (L(z,x \ y,x) * y) \ (z * y). [para(17(a,1),1220(a,1,2,2)),flip(a)]. given #1597 (H,wt=21): 1710 (L(x,y \ z,y) * z) \ (x * z) = a(y,y \ z,T(x,z)). [para(17(a,1),1709(a,1,3,2)),flip(a)]. given #1598 (H,wt=29): 1256 ((x * y) * L(y,z,u)) \ (y * (x * L(y,z,u))) != w | K(y,x * L(y,z,u)) = w. [para(1248(a,1),240(a,1,1))]. given #1599 (H,wt=29): 1284 x \ R(x * (x \ T(y,x \ 1)),z,u) = R((x \ 1) \ (x \ y),z,u) * (x \ 1). [para(783(a,1),1283(a,1,2,1,2))]. given #1600 (H,wt=25): 1712 R((x \ 1) \ (x \ y),z,u) * (x \ 1) = x \ R(T(y,x \ 1),z,u). [para(17(a,1),1284(a,1,2,1)),flip(a)]. given #1601 (H,wt=25): 1713 (x \ R(T(y,x \ 1),z,u)) / (x \ 1) = R((x \ 1) \ (x \ y),z,u). [hyper(88,a,1712,a)]. given #1602 (H,wt=21): 1715 R((x \ 1) \ (x \ y),z,u) = (x \ 1) \ (x \ R(y,z,u)). [hyper(189,a,805,a(flip),b,1713,a(flip))]. given #1603 (H,wt=29): 1317 x \ ((y * x) * R((y * x) \ x,z,u)) = T(y,x) * R((x \ (y * x)) \ 1,z,u). [para(35(a,2),1315(a,1,1)),flip(a)]. given #1604 (H,wt=27): 1716 x \ ((y * x) * R((y * x) \ x,z,u)) = T(y,x) * R(T(y,x) \ 1,z,u). [para(35(a,2),1317(a,2,2,1,1))]. given #1605 (H,wt=25): 1717 x \ ((y * R(y \ 1,z,u)) * x) = T(y,x) * R(T(y,x) \ 1,z,u). [para(1639(a,1),1716(a,1,2))]. given #1606 (H,wt=26): 1718 T(x,y) * R(T(x,y) \ 1,z,u) != w | T(x * R(x \ 1,z,u),y) = w. [para(1717(a,1),238(a,1))]. given #1607 (H,wt=29): 1380 T(K(x,y),L(x \ 1,x,y) \ z) = K(y \ (y / ((L(x \ 1,x,y) \ z) \ z)),y). [para(114(a,1),1379(a,1,1,2,2)),flip(a)]. given #1608 (H,wt=29): 1448 K(((x * y) \ x) \ (((x * y) \ x) * y),(x * y) \ x) * y = T(y,(x * y) \ x). [para(1440(a,1),894(a,2,1,1,2)),flip(a)]. given #1609 (H,wt=17): 1719 K(x,(y * x) \ y) * x = T(x,(y * x) \ y). [para(16(a,1),1448(a,1,1,1))]. given #1610 (H,wt=17): 1720 T(x,(y * x) \ y) / x = K(x,(y * x) \ y). [hyper(88,a,1719,a)]. given #1611 (H,wt=29): 1635 ((x / y) * R((x / y) \ z,u,w)) * y = x * R(((x / y) * y) \ (z * y),u,w). [hyper(252,a,1634,a),flip(a)]. given #1612 (H,wt=25): 1722 ((x / y) * R((x / y) \ z,u,w)) * y = x * R(x \ (z * y),u,w). [para(19(a,1),1635(a,2,2,1,1))]. given #1613 (H,wt=25): 1723 (x * R(x \ (y * z),u,w)) / z = (x / z) * R((x / z) \ y,u,w). [hyper(88,a,1722,a)]. given #1614 (H,wt=23): 1724 (x / y) * R((x / y) \ 1,z,u) = (x * R(x \ y,z,u)) / y. [para(14(a,1),1723(a,1,1,2,1,2)),flip(a)]. given #1615 (H,wt=29): 1638 (x \ (y * z)) * R((x \ (y * z)) \ z,u,w) = x \ ((y * R(y \ x,u,w)) * z). [hyper(75,a,1634,a(flip),b,934,a),flip(a)]. given #1616 (H,wt=29): 1684 K((x * ((x \ y) / y)) \ x,x * ((x \ y) / y)) = ((x \ y) * T(x,x \ y)) / y. [para(1680(a,1),1583(a,2,1,2))]. given #1617 (H,wt=21): 1727 K((x * ((x \ y) / y)) \ x,x * ((x \ y) / y)) = y / y. [para(145(a,1),1684(a,2,1))]. given #1618 (H,wt=19): 1728 K((x * ((x \ y) / y)) \ x,x * ((x \ y) / y)) = 1. [hyper(189,a,64,a(flip),b,1727,a)]. given #1619 (H,wt=23): 1730 T(1 / ((x \ y) / y),x * ((x \ y) / y)) = 1 / ((x \ y) / y). [para(1728(a,1),845(a,1,1)),flip(a)]. given #1620 (H,wt=17): 1731 (x * ((x \ y) / y)) \ x = 1 / ((x \ y) / y). [hyper(189,a,1394,a(flip),b,1730,a(flip)),flip(a)]. given #1621 (H,wt=21): 1732 ((x / y) * (y / x)) \ (x / y) = 1 / (((x / y) \ x) / x). [para(69(a,1),1731(a,1,1,2,1))]. given #1622 (H,wt=17): 1733 ((x / y) * (y / x)) \ (x / y) = 1 / (y / x). [para(69(a,1),1732(a,2,2,1))]. given #1623 (H,wt=15): 1736 K(1 / (x / y),(y / x) * (x / y)) = 1. [para(1733(a,1),1688(a,1,1))]. given #1624 (H,wt=17): 1734 ((x / y) * (y / x)) * (1 / (y / x)) = x / y. [para(1733(a,1),17(a,1,2))]. given #1625 (H,wt=17): 1737 K(1 / x,(y / (x * y)) * ((x * y) / y)) = 1. [para(18(a,1),1736(a,1,1,2))]. given #1626 (H,wt=13): 1739 K(1 / x,(y / (x * y)) * x) = 1. [para(18(a,1),1737(a,1,2,2))]. given #1627 (H,wt=15): 1740 T(1 / x,(y / (x * y)) * x) = 1 / x. [hyper(40,a,1739,a)]. given #1628 (H,wt=14): 1741 L(x \ 1,x,y / (x * y)) = 1 / x. [hyper(1282,a,1740,a)]. given #1629 (H,wt=15): 1742 L(x \ 1,x,R(1 / x,x,y)) = 1 / x. [para(141(a,2),1741(a,1,3))]. given #1630 (H,wt=17): 1743 ((x / (y * x)) * y) * (1 / y) = x / (y * x). [para(1741(a,1),278(a,1,2))]. given #1631 (H,wt=18): 1745 R(x \ 1,x,y) \ (y / (x * y)) = K(x,x \ 1). [para(1743(a,1),1543(a,1,2))]. given #1632 (H,wt=18): 1746 x / (y * x) = R(y \ 1,y,x) * K(y,y \ 1). [para(1745(a,1),17(a,1,2)),flip(a)]. given #1633 (H,wt=19): 1744 R(1 / x,x,y) / (1 / x) = R(1 / x,x,y) * x. [para(1742(a,1),283(a,1,2))]. given #1634 (H,wt=14): 1747 T(1 / (1 / x),R(1 / x,x,y)) = x. [hyper(879,a,1744,a)]. given #1635 (H,wt=14): 1749 T(x,R(1 / x,x,y)) = T(x,x \ 1). [para(1747(a,1),953(a,1,1)),flip(a)]. given #1636 (H,wt=13): 1750 x * K(x,1 / x) = T(x,x \ 1). [hyper(189,a,1407,a(flip),b,1749,a(flip)),flip(a)]. given #1637 (H,wt=13): 1751 T(x,y / (x * y)) = T(x,x \ 1). [para(141(a,1),1749(a,1,2))]. given #1638 (H,wt=13): 1752 T(x,(x \ y) / y) = T(x,x \ 1). [para(286(a,1),1749(a,1,2))]. given #1639 (H,wt=13): 1753 x \ ((x \ 1) \ 1) = K(x,1 / x). [hyper(75,a,114,a(flip),b,1750,a)]. given #1640 (H,wt=13): 1754 x * K(x,x \ 1) = T(x,x \ 1). [para(1531(a,1),1750(a,1,2))]. given #1641 (H,wt=13): 1755 T(x,y / (x * y)) = (x \ 1) \ 1. [hyper(189,a,114,a(flip),b,1751,a)]. given #1642 (H,wt=13): 1758 x \ (x \ ((x \ 1) \ 1)) = 1 / x. [hyper(75,a,1753,a,b,168,a(flip))]. given #1643 (H,wt=13): 1761 x * K(x,x \ 1) = (x \ 1) \ 1. [hyper(189,a,114,a(flip),b,1754,a)]. given #1644 (H,wt=15): 1748 T(1 / (1 / (x / y)),y / x) = x / y. [para(287(a,1),1747(a,1,2))]. given #1645 (H,wt=15): 1765 T(x / y,y / x) = ((x / y) \ 1) \ 1. [para(19(a,1),1755(a,1,2,2))]. given #1646 (H,wt=16): 1760 x \ ((x \ 1) \ 1) != y | K(x,x \ 1) = y. [para(1753(a,2),1559(a,1))]. given #1647 (H,wt=16): 1763 x * K(x,x \ 1) != y | (x \ 1) \ 1 = y. [para(1754(a,2),315(a,1))]. given #1648 (H,wt=16): 1766 x * K(x,x \ 1) != y | T(x,x \ 1) = y. [para(1761(a,2),241(a,1))]. given #1649 (H,wt=18): 1771 x \ T(x,y / (x * y)) != z | K(x,x \ 1) = z. [para(1755(a,2),1760(a,1,2))]. given #1650 (H,wt=19): 1767 ((x / y) * (y / x)) / (x / y) = 1 / (1 / (y / x)). [para(1748(a,1),143(a,1,1,2))]. given #1651 (H,wt=19): 1769 (x / y) * (((y / x) \ 1) \ 1) = (y / x) * (x / y). [para(1765(a,1),113(a,1,2))]. given #1652 (H,wt=20): 1735 ((x / y) * (y / x)) * (1 / (y / x)) != z | x / y = z. [para(1733(a,1),203(a,1,2)),flip(b)]. given #1653 (H,wt=21): 1738 ((x * y) / y) * (y / (x * y)) = x / (1 / (y / (x * y))). [hyper(76,a,18,a(flip),b,1734,a),flip(a)]. given #1654 (H,wt=17): 1772 x / (1 / (y / (x * y))) = x * (y / (x * y)). [para(18(a,1),1738(a,1,1)),flip(a)]. given #1655 (H,wt=21): 1759 x \ (T(x,y) \ ((x \ 1) \ 1)) = T(x,y) \ K(x,1 / x). [hyper(75,a,1753,a(flip),b,978,a),flip(a)]. given #1656 (H,wt=21): 1770 ((((x * y) / x) \ 1) \ 1) * x = x * T(y,x / (x * y)). [para(1765(a,1),325(a,1,1))]. given #1657 (H,wt=17): 1775 T(x,((y * x) / y) \ 1) = T(x,y / (y * x)). [hyper(945,a,1770,a)]. given #1658 (H,wt=21): 1774 x \ (T(x,y) \ ((x \ 1) \ 1)) = x * (T(x,y) \ (1 / x)). [hyper(189,a,1009,a(flip),b,1759,a)]. given #1659 (H,wt=22): 1757 ((x \ y) / y) * T(x,x \ 1) != z | x * ((x \ y) / y) = z. [para(1752(a,1),205(a,1,2))]. given #1660 (H,wt=22): 1768 ((x / y) * (y / x)) / (x / y) != z | 1 / (1 / (y / x)) = z. [para(1748(a,1),250(a,1,1,2)),flip(b)]. given #1661 (H,wt=23): 1776 ((x \ 1) \ 1) * (x \ (T(x,y) \ 1)) = x * (T(x,y) \ (1 / x)). [hyper(189,a,1307,a,b,1774,a(flip)),flip(a)]. given #1662 (H,wt=24): 1762 T(x,x \ 1) * L(y,K(x,x \ 1),x) = x * (K(x,x \ 1) * y). [para(1754(a,1),102(a,1,1))]. given #1663 (H,wt=17): 1777 L(x,K(y,y \ 1),y) = L(x,y,K(y,y \ 1)). [hyper(1629,a,1762,a),flip(a)]. given #1664 (H,wt=24): 1773 K(x \ (x * (y / (x * y))),x) = R(x \ 1,x,y) / (y / (x * y)). [para(1772(a,1),895(a,1,1,2))]. given #1665 (H,wt=20): 1778 R(x \ 1,x,y) / (y / (x * y)) = K(y / (x * y),x). [hyper(189,a,1215,a(flip),b,1773,a(flip))]. given #1666 (H,wt=23): 1780 K(x / (y * x),y) * (x / (y * x)) != z | R(y \ 1,y,x) = z. [para(1778(a,1),200(a,1,1)),flip(b)]. given #1667 (H,wt=25): 1756 K((x / (y * x)) \ 1,x / (y * x)) * (y * x) = T(y,y \ 1) * x. [para(1751(a,1),1588(a,2,1))]. given #1668 (H,wt=27): 1764 (T(x,x \ 1) * y) / (K(x,x \ 1) * y) != z | R(x,K(x,x \ 1),y) = z. [para(1754(a,1),385(a,1,1,1))]. given #1669 (H,wt=30): 650 ((x * y) * R(T(z,y),u,w)) / (R(z,u,w) * y) != v5 | R(x,y,R(T(z,y),u,w)) = v5. [para(160(a,1),385(a,1,2))]. given #1670 (H,wt=30): 726 ((x * y) * z) * K(y * z,R(x,y,z)) != u * w | u \ ((y * z) * R(x,y,z)) = w. [para(110(a,1),429(a,1,1))]. given #1671 (H,wt=30): 759 ((x * R(y / z,z,u)) / x) * (z * u) = (z * u) * ((x * ((z * u) \ (y * u))) / x). [para(111(a,2),680(a,1,1,1,2))]. given #1672 (H,wt=27): 1783 (x * y) * ((z * ((x * y) \ (u * y))) / z) = (((z * (u / x)) / z) * x) * y. [hyper(699,a,759,a),flip(a)]. given #1673 (H,wt=27): 1784 (((x * ((y / z) / u)) / x) * u) * z = (u * z) * ((x * ((u * z) \ y)) / x). [para(19(a,1),1783(a,1,2,1,2,2)),flip(a)]. given #1674 (H,wt=23): 1786 (x * y) * ((x * ((x * y) \ z)) / x) = (x * ((z / y) / x)) * y. [hyper(252,a,1784,a),flip(a)]. given #1675 (H,wt=17): 1788 (x * ((x / y) / x)) * y = T(x,x / (x * y)). [hyper(1044,a,1786,a),flip(a)]. given #1676 (H,wt=19): 1790 x \ T(y,y / (y * x)) = T(y * ((y / x) / y),x). [hyper(147,a,1788,a,b,17,a),flip(a)]. given #1677 (H,wt=22): 1791 T(x,x / (x * y)) != y * z | T(x * ((x / y) / x),y) = z. [para(1788(a,1),148(a,2)),flip(a)]. given #1678 (H,wt=23): 1789 x * (y * ((x * (y \ (x \ z))) / x)) = (x * ((z / y) / x)) * y. [hyper(189,a,936,a(flip),b,1786,a(flip)),flip(a)]. given #1679 (H,wt=26): 1787 (x * y) * ((x * ((x * y) \ z)) / x) != u | (x * ((z / y) / x)) * y = u. [para(1784(a,1),252(a,1))]. given #1680 (H,wt=20): 1793 T(x,x / (x * y)) != z | (x * ((x / y) / x)) * y = z. [para(1039(a,1),1787(a,1))]. given #1681 (H,wt=26): 1794 x * (y * ((x * (y \ (x \ z))) / x)) != u | (x * ((z / y) / x)) * y = u. [para(936(a,1),1787(a,1))]. given #1682 (H,wt=27): 1785 (x * y) * ((z * ((x * y) \ (u * y))) / z) = (x * ((z * (x \ u)) / z)) * y. [para(680(a,1),1783(a,2,1))]. given #1683 (H,wt=25): 1796 (x * y) * ((z * ((x * y) \ y)) / z) = (x * ((z * (x \ 1)) / z)) * y. [para(14(a,1),1785(a,1,2,1,2,2))]. given #1684 (H,wt=21): 1799 T(x * ((y * (x \ 1)) / y),z) = K(y,(y / T(x,z)) / y). [hyper(147,a,1796,a(flip),b,1416,a(flip))]. given #1685 (H,wt=23): 1797 (x * ((y * (x \ 1)) / y)) * x = x * (x * ((y * (x \ 1)) / y)). [hyper(189,a,1398,a(flip),b,1796,a(flip))]. given #1686 (H,wt=25): 1802 T(x,y) * ((z * (T(x,y) \ 1)) / z) = T(x * ((z * (x \ 1)) / z),y). [hyper(189,a,1319,a(flip),b,1799,a),flip(a)]. given #1687 (H,wt=21): 1804 T(x,y) * ((x * (T(x,y) \ 1)) / x) = T(x * (1 / x),y). [para(17(a,1),1802(a,2,1,2,1))]. given #1688 (H,wt=19): 1806 T(x,y) * ((T(x,y) \ x) / x) = T(x * (1 / x),y). [para(987(a,1),1804(a,1,2,1))]. given #1689 (H,wt=19): 1807 T(x,y) * ((T(x,y) \ x) / x) = T(K(x,x \ 1),y). [para(1535(a,2),1806(a,2,1))]. given #1690 (H,wt=17): 1808 x * T(K(x,x \ 1),y) = T(x,T(x,y) \ 1). [para(1807(a,1),1625(a,1,2))]. given #1691 (H,wt=27): 1795 x * (y * ((z * (y \ (x \ (u * y)))) / z)) = (x * ((z * (x \ u)) / z)) * y. [hyper(189,a,936,a(flip),b,1785,a(flip)),flip(a)]. given #1692 (H,wt=23): 1809 (x * ((y * (x \ z)) / y)) * y = x * (y * ((x \ (z * y)) / y)). [para(17(a,1),1795(a,1,2,2,1)),flip(a)]. given #1693 (H,wt=29): 1798 x * ((x * y) * ((z * ((x * y) \ y)) / z)) = (x * ((z * (x \ 1)) / z)) * (x * y). [hyper(189,a,1397,a(flip),b,1796,a(flip)),flip(a)]. given #1694 (H,wt=27): 1811 (x * ((y * (x \ 1)) / y)) * (x * z) = x * ((x * ((y * (x \ 1)) / y)) * z). [para(1796(a,1),1798(a,1,2)),flip(a)]. given #1695 (H,wt=25): 1812 K(x,(x / y) / x) * (y * z) = y * ((y * ((x * (y \ 1)) / x)) * z). [para(1319(a,2),1811(a,1,1))]. given #1696 (H,wt=29): 1803 (1 / x) * ((1 / x) * ((y * ((1 / x) \ 1)) / y)) = (((y * x) / y) / x) * (1 / x). [para(1427(a,1),1797(a,1,1)),flip(a)]. given #1697 (H,wt=23): 1813 (((x * y) / x) / y) * (1 / y) = (1 / y) * (((x * y) / x) / y). [para(1427(a,1),1803(a,1,2)),flip(a)]. given #1698 (H,wt=23): 1814 ((1 / x) * (((y * x) / y) / x)) / (1 / x) = ((y * x) / y) / x. [hyper(88,a,1813,a)]. given #1699 (H,wt=26): 1815 R(((x * y) / x) / y,y,x) = ((1 / y) * ((x * y) / (y * x))) / (1 / y). [para(1814(a,1),696(a,1,1))]. given #1700 (H,wt=23): 1816 ((1 / x) * ((y * x) / (x * y))) / (1 / x) = (y * x) / (x * y). [hyper(189,a,187,a(flip),b,1815,a(flip))]. given #1701 (H,wt=27): 1817 T((x * y) / (y * x),y * x) = ((1 / y) * ((y * x) \ (x * y))) / (1 / y). [para(1816(a,1),546(a,1,1))]. given #1702 (H,wt=23): 1818 ((1 / x) * ((x * y) \ (y * x))) / (1 / x) = (x * y) \ (y * x). [hyper(307,a,1817,a),flip(a)]. given #1703 (H,wt=19): 1819 K(x,y) = ((1 / y) * ((y * x) \ (x * y))) / (1 / y). [hyper(189,a,29,a,b,1818,a),flip(a)]. given #1704 (H,wt=15): 1820 ((1 / x) * K(y,x)) / (1 / x) = K(y,x). [para(29(a,2),1819(a,2,1,2)),flip(a)]. given #1705 (H,wt=15): 1821 K(x,y) * (1 / y) = (1 / y) * K(x,y). [para(1820(a,1),19(a,1,1))]. given #1706 (H,wt=11): 1824 T(1 / x,K(y,x)) = 1 / x. [hyper(148,a,1821,a)]. given #1707 (H,wt=9): 1825 K(1 / x,K(y,x)) = 1. [hyper(39,a,1824,a)]. given #1708 (H,wt=9): 1826 K(x,K(y,x \ 1)) = 1. [para(67(a,1),1825(a,1,1))]. given #1709 (H,wt=9): 1827 T(x,K(y,x \ 1)) = x. [hyper(40,a,1826,a)]. given #1710 (H,wt=13): 1823 K(x \ 1,x) * (1 / x) = x \ 1. [hyper(189,a,1198,a(flip),b,1821,a)]. given #1711 (H,wt=15): 1822 (K(x,y) * (1 / y)) / K(x,y) = 1 / y. [para(1820(a,1),72(a,1,1,1))]. given #1712 (H,wt=16): 1828 x * (1 / y) != y \ 1 | K(y \ 1,y) = x. [para(1823(a,1),23(a,1)),flip(a)]. given #1713 (H,wt=16): 1829 (x \ 1) / (1 / x) != y | K(x \ 1,x) = y. [para(1823(a,1),248(a,1,1)),flip(b)]. given #1714 (H,wt=18): 1834 K(1 / x,1 / (1 / x)) != y | K(x \ 1,x) = y. [para(496(a,2),1829(a,1))]. given #1715 (H,wt=15): 1835 K(1 / x,(1 / x) \ 1) = K(x \ 1,x). [hyper(1834,a,1531,a),flip(a)]. given #1716 (H,wt=11): 1836 K(1 / x,x) = K(x \ 1,x). [para(69(a,1),1835(a,1,2))]. given #1717 (H,wt=15): 1838 K((x \ 1) \ 1,x \ 1) = K(x,x \ 1). [para(67(a,1),1836(a,1,1)),flip(a)]. given #1718 (H,wt=21): 1833 R(1 / x,y,z) \ (K(u,x) * R(1 / x,y,z)) = K(u,x). [para(1822(a,1),671(a,1,1,1))]. given #1719 (H,wt=14): 1839 T(K(x,y),R(1 / y,z,u)) = K(x,y). [hyper(238,a,1833,a)]. given #1720 (H,wt=11): 1841 T(K(x,y),y \ 1) = K(x,y). [para(446(a,1),1839(a,1,2))]. given #1721 (H,wt=11): 1842 T(x \ 1,K(y,x)) = x \ 1. [hyper(38,a,1841,a)]. given #1722 (H,wt=13): 1840 T(K(x,y),z / (y * z)) = K(x,y). [para(141(a,1),1839(a,1,2))]. given #1723 (H,wt=19): 1844 K(x,y) * (z / (y * z)) = (z / (y * z)) * K(x,y). [para(1840(a,1),113(a,1,2)),flip(a)]. given #1724 (H,wt=20): 1845 (x / (y * x)) * K(x / (y * x),y) = R(y \ 1,y,x). [hyper(1780,a,1844,a),flip(a)]. given #1725 (H,wt=23): 1846 R(x \ 1,x,y) != (y / (x * y)) * z | K(y / (x * y),x) = z. [para(1845(a,1),22(a,1))]. given #1726 (H,wt=25): 1837 L(x,1 / y,K(1 / y,(1 / y) \ 1)) = L(x,K(y \ 1,y),1 / y). [para(1835(a,1),1777(a,1,2)),flip(a)]. given #1727 (H,wt=26): 1830 (x \ 1) * L(y,1 / x,K(x \ 1,x)) = K(x \ 1,x) * ((1 / x) * y). [para(1823(a,1),102(a,1,1))]. given #1728 (H,wt=23): 1847 L(x \ L(y,1 / x,K(x \ 1,x)),x,x \ 1) = (1 / x) * y. [hyper(833,a,1830,a(flip))]. given #1729 (H,wt=26): 1831 R(x,K(y \ 1,y),1 / y) * (y \ 1) = (x * K(y \ 1,y)) * (1 / y). [para(1823(a,1),110(a,1,2))]. given #1730 (H,wt=29): 1832 (x \ 1) \ (K(x \ 1,x) * y) != z | L((1 / x) \ y,1 / x,K(x \ 1,x)) = z. [para(1823(a,1),437(a,1,1))]. given #1731 (H,wt=26): 1848 L((1 / x) \ y,1 / x,K(x \ 1,x)) = K(x \ 1,x) * ((x \ 1) \ y). [hyper(1832,a,1631,a)]. given #1732 (H,wt=30): 774 T(x,y) * R(T(x,y) \ 1,T(x,y),x \ 1) = ((x \ 1) / (x \ T(x,y))) * T(x,y). [para(773(a,1),522(a,1,1,2)),flip(a)]. given #1733 (H,wt=28): 1849 T(x * R(x \ 1,T(x,y),x \ 1),y) = ((x \ 1) / (x \ T(x,y))) * T(x,y). [hyper(1718,a,774,a)]. given #1734 (H,wt=25): 1850 ((x \ 1) / (x \ T(x,y))) * T(x,y) = T(x * T(x \ 1,T(x,y)),y). [para(1144(a,1),1849(a,1,1,2)),flip(a)]. given #1735 (H,wt=15): 1851 (x \ 1) / (x \ T(x,y)) = T(x,y) \ 1. [hyper(1377,a,1850,a(flip)),flip(a)]. given #1736 (H,wt=17): 1853 K(x \ T(x,y),(x \ 1) / (x \ T(x,z))) = 1. [para(1851(a,2),1388(a,1,2))]. given #1737 (H,wt=21): 1852 T(T(x,y) \ 1,x \ T(x,y)) = (x \ T(x,y)) \ (x \ 1). [para(1851(a,1),115(a,1,1))]. given #1738 (H,wt=15): 1854 (x \ T(x,y)) \ (x \ 1) = T(x,y) \ 1. [hyper(189,a,1385,a(flip),b,1852,a(flip))]. given #1739 (H,wt=30): 821 L(L(T(x \ 1,x),x,y),y * x,1 / (y * x)) = R((1 / (y * x)) * y,x,x \ 1). [para(706(a,1),441(a,1,1))]. given #1740 (H,wt=22): 1856 R((1 / (x * y)) * x,y,y \ 1) = T((1 / (x * y)) * x,y). [hyper(189,a,728,a(flip),b,821,a(flip))]. given #1741 (H,wt=22): 1857 a(1 / (x * y),x,y) \ T((1 / (x * y)) * x,y) = y \ 1. [para(1856(a,1),704(a,1,2))]. given #1742 (H,wt=30): 937 (x * y) * ((z * ((x * y) \ u)) / z) != w | x * (y * ((z * (y \ (x \ u))) / z)) = w. [para(691(a,1),207(a,1,2))]. given #1743 (H,wt=30): 1098 (x * y) * K(L(y \ 1,y,x) \ 1,L(y \ 1,y,x)) = x * T(y,L(y \ 1,y,x)). [para(319(a,1),1078(a,1,2,1,2))]. given #1744 (H,wt=30): 1161 ((x * y) * T((x * y) \ x,z)) * u = (x * y) * (u * T(u \ L(y \ u,y,x),z)). [para(104(a,2),1117(a,1,2,2,1,2)),flip(a)]. given #1745 (H,wt=28): 1858 (x * y) * (z * T(z \ L(y \ z,y,x),u)) = (x * (y * T(y \ 1,u))) * z. [para(569(a,1),1161(a,1,1)),flip(a)]. given #1746 (H,wt=30): 1276 L(x \ 1,x,y) \ ((x \ 1) * (x * ((y * x) \ y))) = K(x \ 1,x * ((y * x) \ y)). [para(1274(a,1),29(a,2,1)),flip(a)]. given #1747 (H,wt=30): 1336 x \ (y * (x * L(x \ (y \ z),u,w))) != v5 | T(y * L(y \ (z / x),u,w),x) = v5. [para(1331(a,1),238(a,1,2))]. given #1748 (H,wt=30): 1471 (L(x,1 / x,y) * y) / L(x,1 / x,y) = (y * (1 / x)) * T(L(x,1 / x,y),y). [para(311(a,1),1463(a,1,1)),flip(a)]. given #1749 (H,wt=25): 1860 (L(x,1 / x,y) * y) / L(x,1 / x,y) = y * ((1 / x) * T(x,y)). [hyper(189,a,350,a(flip),b,1471,a)]. given #1750 (H,wt=23): 1861 (L(x,1 / x,y) * y) / L(x,1 / x,y) = y * (T(x,y) / x). [para(793(a,1),1860(a,2,2))]. given #1751 (H,wt=29): 1862 (x \ ((L(y,1 / y,x) * x) / L(y,1 / y,x))) / (x \ 1) = x * (T(y,x) / y). [hyper(189,a,1108,a,b,1861,a(flip)),flip(a)]. given #1752 (H,wt=21): 1864 (x \ (x * (T(y,x) / y))) / (x \ 1) = x * (T(y,x) / y). [para(1861(a,1),1862(a,1,1,2))]. given #1753 (H,wt=17): 1865 (T(x,y) / x) / (y \ 1) = y * (T(x,y) / x). [para(16(a,1),1864(a,1,1))]. given #1754 (H,wt=30): 1509 T(((T(x,y) \ x) * x) / (T(x,y) \ x),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). [para(1505(a,2),563(a,1,2))]. given #1755 (H,wt=28): 1867 T(T(x,y) * T(T(x,y) \ x,x),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). [para(1464(a,1),1509(a,1,1))]. given #1756 (H,wt=27): 1868 T(L(x,T(x,y) \ x,T(x,y)),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). [para(1015(a,1),1867(a,1,1))]. given #1757 (H,wt=27): 1869 T(L(x,T(x,y) \ x,T(x,y)),x * (T(x,y) \ x)) = L(x,T(x,y) \ x,x). [para(1505(a,1),1868(a,1,2))]. given #1758 (H,wt=27): 1870 L(T(x,x * (T(x,y) \ x)),T(x,y) \ x,T(x,y)) = L(x,T(x,y) \ x,x). [hyper(189,a,43,a,b,1869,a(flip)),flip(a)]. given #1759 (H,wt=19): 1871 L(x,T(x,y) \ x,T(x,y)) = L(x,T(x,y) \ x,x). [para(1502(a,1),1870(a,1,1))]. given #1760 (H,wt=20): 1872 T(x,y) * T(T(x,y) \ x,x) = L(x,T(x,y) \ x,x). [hyper(189,a,1015,a,b,1871,a(flip)),flip(a)]. given #1761 (H,wt=18): 1874 L(x,T(x,y) \ x,x) = (T(x,y) \ x) * T(x,y). [hyper(189,a,1510,a(flip),b,1872,a(flip))]. given #1762 (H,wt=20): 1873 x * L(y,T(y,x) \ y,y) = (y * x) * T(K(x,y),y). [para(1871(a,1),1409(a,1,2))]. given #1763 (H,wt=30): 1641 (x * y) * R((x * y) \ (z * y),u,w) != y * v5 | T(x * R(x \ z,u,w),y) = v5. [para(1634(a,2),148(a,2)),flip(a)]. given #1764 (H,wt=30): 1800 (x * y) * ((z * ((x * y) \ y)) / z) != y * u | T(x * ((z * (x \ 1)) / z),y) = u. [para(1796(a,2),148(a,2)),flip(a)]. given #1765 (H,wt=30): 1810 ((x * y) * ((z * ((x * y) \ x)) / z)) * z = (x * y) * (z * (L(y \ z,y,x) / z)). [para(104(a,2),1809(a,2,2,2,1))]. given #1766 (H,wt=30): 1859 (x \ 1) * (L(x \ 1,x,y) \ (x * ((y * x) \ y))) = K(x \ 1,x * ((y * x) \ y)). [hyper(189,a,963,a(flip),b,1276,a(flip)),flip(a)]. given #1767 (H,wt=23): 1875 K(x \ 1,x * ((y * x) \ y)) = (x \ 1) * T(x,(y * x) \ y). [para(611(a,1),1859(a,1,2)),flip(a)]. given #1768 (H,wt=31): 1184 T(x * ((1 / x) * ((1 / x) \ (x \ (y * (1 / x))))),x) = (x * T(x \ y,x)) * (1 / x). [hyper(189,a,1117,a(flip),b,1177,a)]. given #1769 (H,wt=19): 1876 (x * T(x \ y,x)) * (1 / x) = T(y * (1 / x),x). [para(63(a,1),1184(a,1,1)),flip(a)]. given #1770 (H,wt=17): 1877 ((x \ y) * x) * (1 / x) = T(y * (1 / x),x). [para(113(a,1),1876(a,1,1))]. given #1771 (H,wt=17): 1879 T((x * y) * (1 / x),x) = (y * x) * (1 / x). [para(16(a,1),1877(a,1,1,1)),flip(a)]. given #1772 (H,wt=15): 1881 x \ ((x \ 1) \ y) = (y * x) * (1 / x). [hyper(189,a,756,a(flip),b,1879,a(flip)),flip(a)]. given #1773 (H,wt=15): 1883 x * ((y * x) * (1 / x)) = (x \ 1) \ y. [para(1881(a,1),17(a,1,2))]. given #1774 (H,wt=9): 1884 (x * x) * (1 / x) = x. [hyper(20,a,489,a(flip),b,1883,a)]. given #1775 (H,wt=9): 1888 (x * x) \ x = 1 / x. [hyper(80,a,1884,a)]. given #1776 (H,wt=10): 1887 L(x \ 1,x,x) = 1 / x. [hyper(308,a,1884,a)]. given #1777 (H,wt=12): 1889 (x * x) \ x != y | 1 / x = y. [para(1884(a,1),237(a,1,2)),flip(b)]. given #1778 (H,wt=15): 1885 (x \ 1) \ (y / x) = x * (y * (1 / x)). [para(19(a,1),1883(a,1,2,1)),flip(a)]. given #1779 (H,wt=17): 1886 (x \ 1) \ ((y * x) \ y) = x * ((y * x) \ y). [para(1439(a,1),1883(a,1,2)),flip(a)]. given #1780 (H,wt=17): 1892 ((x \ 1) \ y) * (x \ 1) = x * (y * (1 / x)). [hyper(942,a,1885,a)]. given #1781 (H,wt=18): 1893 (x \ 1) \ (y / x) != x * z | y * (1 / x) = z. [para(1885(a,2),22(a,1))]. given #1782 (H,wt=19): 1894 (x \ 1) * (x * ((y * x) \ y)) = ((y * x) \ y) * 1. [para(1886(a,1),198(a,1,2))]. given #1783 (H,wt=19): 1895 ((x \ 1) \ 1) * (y * (x \ 1)) = x * (y * (1 / x)). [hyper(189,a,486,a,b,1892,a(flip)),flip(a)]. given #1784 (H,wt=20): 1882 T((x * y) * (1 / x),x) != z * (1 / x) | y * x = z. [para(1879(a,2),23(a,1))]. given #1785 (H,wt=22): 1896 ((x \ 1) \ 1) * (y * (x \ 1)) != x * z | y * (1 / x) = z. [para(1895(a,2),22(a,1))]. given #1786 (H,wt=23): 1880 T(x * (1 / (y \ 1)),y \ 1) = (((y \ 1) \ x) * (y \ 1)) * y. [para(67(a,1),1877(a,1,2)),flip(a)]. given #1787 (H,wt=19): 1897 (((x \ 1) \ y) * (x \ 1)) * x = T(y * x,x \ 1). [para(67(a,1),1880(a,1,1,2)),flip(a)]. given #1788 (H,wt=19): 1898 T((x \ y) * x,x \ 1) = (x \ T(y,x \ 1)) * x. [para(783(a,1),1897(a,1,1)),flip(a)]. given #1789 (H,wt=25): 1899 (x \ T(y / (x \ 1),x \ 1)) * x = T(T(y,x) / (x \ 1),x \ 1). [para(806(a,1),1898(a,1,1)),flip(a)]. given #1790 (H,wt=21): 1900 T(T(x,y) / (y \ 1),y \ 1) = (y \ ((y \ 1) \ x)) * y. [para(115(a,1),1899(a,1,1,2)),flip(a)]. given #1791 (H,wt=17): 1901 (x \ ((x \ 1) \ y)) * x = (x \ 1) \ T(y,x). [hyper(307,a,1900,a),flip(a)]. given #1792 (H,wt=17): 1902 (x \ 1) \ T((x \ 1) * y,x) = (x \ y) * x. [para(16(a,1),1901(a,1,1,2)),flip(a)]. given #1793 (H,wt=17): 1903 (x \ 1) * ((x \ y) * x) = T((x \ 1) * y,x). [para(1902(a,1),17(a,1,2))]. given #1794 (H,wt=17): 1904 T((x \ 1) * (x * y),x) = (x \ 1) * (y * x). [para(16(a,1),1903(a,1,2,1)),flip(a)]. given #1795 (H,wt=19): 1906 ((x \ 1) * (x * y)) * x = x * ((x \ 1) * (y * x)). [para(1904(a,1),113(a,1,2)),flip(a)]. given #1796 (H,wt=18): 1907 ((x \ 1) * (x * y)) * x = L(y * x,x \ 1,x). [hyper(189,a,166,a(flip),b,1906,a)]. given #1797 (H,wt=18): 1908 L(x * y,y \ 1,y) / y = (y \ 1) * (y * x). [hyper(76,a,166,a(flip),b,1906,a)]. given #1798 (H,wt=18): 1909 (x \ 1) * (x * (y / x)) = L(y,x \ 1,x) / x. [para(19(a,1),1908(a,1,1,1)),flip(a)]. given #1799 (H,wt=24): 1905 ((x \ 1) * y) \ T((x \ 1) * y,x) = L(K(x \ y,x),y,x \ 1). [para(1903(a,1),335(a,1,2))]. given #1800 (H,wt=25): 1910 L(R(x,1 / y,y),y \ 1,y) / y = (y \ 1) * (y * (x * (1 / y))). [para(589(a,1),1908(a,1,1,1))]. given #1801 (H,wt=22): 1911 (x \ 1) * (x * (y * (1 / x))) = L(y,x \ 1,x) * (1 / x). [hyper(189,a,595,a(flip),b,1910,a(flip))]. given #1802 (H,wt=25): 1912 (x \ 1) * (x * (y * (1 / x))) != z * (1 / x) | L(y,x \ 1,x) = z. [para(1911(a,2),23(a,1))]. given #1803 (H,wt=29): 1890 (x * (x * (x \ 1))) \ ((x * x) * ((1 / x) * y)) = L(y,L(x \ 1,x,x),x * x). [para(1887(a,1),347(a,1,2,2,1))]. given #1804 (H,wt=23): 1913 L(x,L(y \ 1,y,y),y * y) = y \ ((y * y) * ((1 / y) * x)). [para(62(a,1),1890(a,1,1)),flip(a)]. given #1805 (H,wt=21): 1914 L(x,L(y \ 1,y,y),y * y) = y \ (y * ((y / y) * x)). [para(118(a,1),1913(a,2,2))]. given #1806 (H,wt=19): 1915 L(x,L(y \ 1,y,y),y * y) = y \ (y * (1 * x)). [para(64(a,1),1914(a,2,2,2,1))]. given #1807 (H,wt=13): 1916 L(x,L(y \ 1,y,y),y * y) = x. [hyper(74,a,1915,a,b,16,a(flip)),flip(a)]. given #1808 (H,wt=29): 1891 L((1 / x) \ y,L(x \ 1,x,x),x * x) = (x * (x * (x \ 1))) \ ((x * x) * y). [para(1887(a,1),368(a,1,1,1))]. given #1809 (H,wt=31): 1330 T(x,y) * L((y \ (x * y)) \ (y \ z),u,w) = y \ ((x * y) * L((x * y) \ z,u,w)). [para(35(a,2),1313(a,1,1))]. given #1810 (H,wt=29): 1918 x \ ((y * x) * L((y * x) \ z,u,w)) = T(y,x) * L(T(y,x) \ (x \ z),u,w). [para(35(a,2),1330(a,1,2,1,1)),flip(a)]. given #1811 (H,wt=29): 1919 x \ (y * (x * L(x \ (y \ z),u,w))) = T(y,x) * L(T(y,x) \ (x \ z),u,w). [para(811(a,1),1918(a,1,2))]. given #1812 (H,wt=27): 1920 T(x,y) * L(T(x,y) \ (y \ z),u,w) = T(x * L(x \ (z / y),u,w),y). [hyper(1336,a,1919,a),flip(a)]. given #1813 (H,wt=27): 1921 T(x * L(x \ ((y * z) / y),u,w),y) = T(x,y) * L(T(x,y) \ z,u,w). [para(16(a,1),1920(a,1,2,1,2)),flip(a)]. given #1814 (H,wt=25): 1922 T(x,y) * L(T(x,y) \ T(z,y),u,w) = T(x * L(x \ z,u,w),y). [para(143(a,1),1921(a,1,1,2,1,2)),flip(a)]. given #1815 (H,wt=23): 1923 T(x,y) * L(T(x,y) \ 1,z,u) = T(x * L(x \ 1,z,u),y). [para(191(a,1),1922(a,1,2,1,2))]. given #1816 (H,wt=24): 1925 T(x * L(x \ 1,T(x,y),z),y) = T(x,y) * ((z * T(x,y)) \ z). [para(140(a,1),1923(a,1,2)),flip(a)]. given #1817 (H,wt=26): 1924 T(x * L(x \ 1,y,z),u) != T(x,u) * w | L(T(x,u) \ 1,y,z) = w. [para(1923(a,1),22(a,1))]. given #1818 (H,wt=28): 1927 T(x * L(x \ 1,T(x,y),1 / x),y) = T(x,y) * ((T(x,y) / x) \ (1 / x)). [para(793(a,1),1925(a,2,2,1))]. given #1819 (H,wt=23): 1928 T(x,y) * ((T(x,y) / x) \ (1 / x)) = T(K(T(x,y),1 / x),y). [para(1695(a,1),1927(a,1,1)),flip(a)]. given #1820 (H,wt=30): 1926 T(x \ y,z) * L(T(x \ y,z) \ 1,x \ y,x) = T((x \ y) * (y \ (x * 1)),z). [para(359(a,1),1923(a,2,1,2))]. given #1821 (H,wt=31): 1363 (x * (y * (1 / (1 / x)))) \ ((y * x) * L(x,x \ 1,x)) = K(y * L(x,x \ 1,x),x). [para(472(a,1),1255(a,1,1,2,2))]. given #1822 (H,wt=30): 1929 (x * (y * (1 / (1 / x)))) \ ((y * x) * (1 / (1 / x))) = K(y * L(x,x \ 1,x),x). [para(472(a,1),1363(a,1,2,2))]. given #1823 (H,wt=31): 1371 L(L(x,y,y \ 1),K(y \ 1,y),1 / y) = (1 / y) * ((y \ 1) \ ((y \ 1) * (y * x))). [para(354(a,1),1362(a,1,2,2)),flip(a)]. given #1824 (H,wt=23): 1930 L(L(x,y,y \ 1),K(y \ 1,y),1 / y) = (1 / y) * (y * x). [para(16(a,1),1371(a,2,2))]. given #1825 (H,wt=31): 1419 (x \ 1) * (((x \ 1) * L((x \ 1) \ 1,y,z)) * u) = (x \ L(x,y,z)) * ((x \ 1) * u). [para(854(a,1),1418(a,1,1)),flip(a)]. given #1826 (H,wt=25): 1932 (x \ L(x,y,z)) * ((x \ 1) * u) = (x \ 1) * ((x \ L(x,y,z)) * u). [para(854(a,1),1419(a,1,2,1)),flip(a)]. given #1827 (H,wt=23): 1933 (x \ 1) * ((x \ L(x,y,z)) \ 1) = (x \ L(x,y,z)) \ (x \ 1). [hyper(75,a,62,a(flip),b,1932,a),flip(a)]. given #1828 (H,wt=26): 1934 (x \ L(x,y,z)) \ (x \ 1) != (x \ 1) * u | (x \ L(x,y,z)) \ 1 = u. [para(1933(a,1),22(a,1))]. given #1829 (H,wt=31): 1550 (T((x / (1 / y)) / y,z) * y) * (1 / y) = T(x / (y * (1 / y)),z) * K(y,y \ 1). [para(1535(a,2),719(a,2,2))]. given #1830 (H,wt=31): 1686 (x \ 1) * (((x \ 1) * R((x \ 1) \ 1,y,z)) * u) = (x \ R(x,y,z)) * ((x \ 1) * u). [para(865(a,1),1685(a,1,1)),flip(a)]. given #1831 (H,wt=25): 1936 (x \ R(x,y,z)) * ((x \ 1) * u) = (x \ 1) * ((x \ R(x,y,z)) * u). [para(865(a,1),1686(a,1,2,1)),flip(a)]. given #1832 (H,wt=23): 1937 (x \ 1) * ((x \ R(x,y,z)) \ 1) = (x \ R(x,y,z)) \ (x \ 1). [hyper(75,a,62,a(flip),b,1936,a),flip(a)]. given #1833 (H,wt=31): 1701 x \ ((L(y \ 1,y,x) * x) / L(y \ 1,y,x)) = (x * (y * T(y \ 1,x))) * (x \ 1). [para(1700(a,1),1106(a,1,1)),flip(a)]. given #1834 (H,wt=25): 1938 (x * (y * T(y \ 1,x))) * (x \ 1) = x \ (x * (y * T(y \ 1,x))). [para(1700(a,1),1701(a,1,2)),flip(a)]. given #1835 (H,wt=21): 1939 (x * (y * T(y \ 1,x))) \ (y * T(y \ 1,x)) = x \ 1. [hyper(75,a,16,a(flip),b,1938,a)]. given #1836 (H,wt=27): 1941 (x * K(y,x)) \ (L(y \ 1,y,x) * T(L(y \ 1,y,x) \ 1,x)) = x \ 1. [para(906(a,2),1939(a,1,1,2))]. given #1837 (H,wt=13): 1942 (x * K(y,x)) \ K(y,x) = x \ 1. [para(906(a,2),1941(a,1,2))]. given #1838 (H,wt=13): 1943 (x * K(y,x)) * (x \ 1) = K(y,x). [para(1942(a,1),17(a,1,2))]. given #1839 (H,wt=13): 1944 K(x,y) / (y \ 1) = y * K(x,y). [para(1942(a,1),67(a,1,2))]. given #1840 (H,wt=31): 1843 T((x \ 1) * T((x \ 1) \ 1,y),K(z,x)) = (x \ 1) * T(T(x \ 1,K(z,x)) \ 1,y). [para(1842(a,1),1373(a,1,1)),flip(a)]. given #1841 (H,wt=27): 1947 T((x \ 1) * T((x \ 1) \ 1,y),K(z,x)) = (x \ 1) * T((x \ 1) \ 1,y). [para(1842(a,1),1843(a,2,2,1,1))]. given #1842 (H,wt=21): 1948 T((x \ 1) * T((x \ 1) \ 1,y),K(z,x)) = x \ T(x,y). [hyper(189,a,770,a(flip),b,1947,a)]. given #1843 (H,wt=15): 1950 T(x \ T(x,y),K(z,x)) = x \ T(x,y). [para(770(a,1),1948(a,1,1))]. given #1844 (H,wt=13): 1951 T(K(x,y),y \ T(y,z)) = K(x,y). [hyper(38,a,1950,a)]. given #1845 (H,wt=11): 1953 K(K(x,y),y \ T(y,z)) = 1. [hyper(39,a,1951,a)]. given #1846 (H,wt=15): 1954 K(K(x,y),y \ ((T(z,y) \ z) * y)) = 1. [para(1299(a,1),1953(a,1,2,2))]. given #1847 (H,wt=13): 1955 K(K(x,y),T(T(z,y) \ z,y)) = 1. [para(35(a,2),1954(a,1,2))]. given #1848 (H,wt=20): 1952 T((x * y) \ (y * x),K(z,y)) = L(y \ T(y,x),y,x). [para(1950(a,1),585(a,1,1)),flip(a)]. given #1849 (H,wt=15): 1956 T((x * y) \ (y * x),K(z,y)) = K(y,x). [hyper(189,a,584,a,b,1952,a)]. given #1850 (H,wt=11): 1957 T(K(x,y),K(z,x)) = K(x,y). [para(29(a,2),1956(a,1,1))]. given #1851 (H,wt=11): 1958 T(K(x,y),K(y,z)) = K(x,y). [hyper(38,a,1957,a)]. given #1852 (H,wt=15): 1959 K(x,y) * K(z,x) = K(z,x) * K(x,y). [para(1957(a,1),113(a,1,2)),flip(a)]. given #1853 (H,wt=18): 1960 K(x,y) * K(y,z) != u | K(y,z) * K(x,y) = u. [para(1957(a,1),205(a,1,2))]. given #1854 (H,wt=18): 1962 K(x,y) * K(z,x) != u | K(z,x) * K(x,y) = u. [para(1958(a,1),205(a,1,2))]. given #1855 (H,wt=18): 1964 K(x,y) * K(z,x) != K(z,x) * u | K(x,y) = u. [para(1959(a,2),22(a,1))]. given #1856 (H,wt=21): 1963 L(K(x,y),z,u) * K(y,w) = K(y,w) * L(K(x,y),z,u). [para(1958(a,1),159(a,1,2,1)),flip(a)]. given #1857 (H,wt=24): 1961 K(x,y) * L(K(y,z),u,w) != v5 | L(K(y,z),u,w) * K(x,y) = v5. [para(1957(a,1),303(a,1,2,1))]. given #1858 (H,wt=31): 1863 x * (((L(y,1 / y,x) * x) / L(y,1 / y,x)) \ z) = (x * (T(y,x) / y)) \ (x * z). [para(1861(a,1),1107(a,1,1)),flip(a)]. given #1859 (H,wt=23): 1965 (x * (T(y,x) / y)) \ (x * z) = x * ((x * (T(y,x) / y)) \ z). [para(1861(a,1),1863(a,1,2,1)),flip(a)]. given #1860 (H,wt=31): 1935 (T((x / (1 / y)) / y,z) * y) * (1 / y) = T(x / K(y,y \ 1),z) * K(y,y \ 1). [para(1535(a,2),1550(a,2,1,1,2))]. given #1861 (H,wt=32): 536 x \ ((x / T(y,y \ z)) * (((y \ z) \ z) * u)) = L(u,(y \ z) \ z,x / T(y,y \ z)). [para(258(a,1),31(a,2,1)),flip(a)]. given #1862 (H,wt=32): 567 (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(218(a,1),323(a,1,1,1)),flip(a)]. given #1863 (H,wt=27): 1968 (x * K(x,y)) * T((x * K(x,y)) \ (x * y),z) = (T(y,z) * x) * K(x,y). [hyper(189,a,380,a(flip),b,567,a)]. given #1864 (H,wt=23): 1969 x * (K(x,y) * T(K(x,y) \ y,z)) = (T(y,z) * x) * K(x,y). [hyper(838,a,1968,a)]. given #1865 (H,wt=23): 1970 (T(x,K(y,x)) * y) * K(y,x) = y * ((K(y,x) \ x) * K(y,x)). [para(113(a,1),1969(a,1,2)),flip(a)]. given #1866 (H,wt=32): 574 K(L(x \ 1,x,y) \ 1,L(x \ 1,x,y)) = ((y * x) \ y) \ (1 / (1 / L(x \ 1,x,y))). [hyper(20,a,474,a,b,312,a),flip(a)]. given #1867 (H,wt=32): 837 (x * T(x \ 1,y)) * z != (u * x) * T((u * x) \ u,y) | T(u,x * T(x \ 1,y)) = z. [para(569(a,2),148(a,2))]. given #1868 (H,wt=32): 916 T((x * y) / x,K(x \ (x / (((x * y) / x) \ 1)),x)) != z | (((x * y) / x) \ y) \ y = z. [para(897(a,2),315(a,1,2))]. given #1869 (H,wt=32): 1080 (x * (y * z)) * T((x * (y * z)) \ (x * y),u) = (x * y) * K(u \ (u / L(z,y,x)),u). [para(31(a,2),1074(a,2,2,1,2,2))]. given #1870 (H,wt=28): 1971 (x * y) * K(z \ (z / L(u,y,x)),z) = x * ((y * u) * T((y * u) \ y,z)). [hyper(838,a,1080,a),flip(a)]. given #1871 (H,wt=26): 1972 (x * y) * K(z \ (z / L(u,y,x)),z) = x * (y * (u * T(u \ 1,z))). [para(569(a,1),1971(a,2,2))]. given #1872 (H,wt=21): 1973 L(x * T(x \ 1,y),z,u) = K(y \ (y / L(x,z,u)),y). [hyper(346,a,1972,a)]. given #1873 (H,wt=21): 1975 L(x \ T(x,y),z,u) = K(y \ (y / L(x \ 1,z,u)),y). [para(770(a,1),1973(a,1,1))]. given #1874 (H,wt=25): 1974 L(x * T(x \ 1,L(x,y,z)),y,z) = K(L(x,y,z) \ 1,L(x,y,z)). [para(64(a,1),1973(a,2,1,2))]. given #1875 (H,wt=32): 1112 ((x * y) / x) * (y \ ((((x * y) / x) \ y) * z)) = L(z,((x * y) / x) \ y,(x * y) / x). [hyper(577,a,1105,a),flip(a)]. given #1876 (H,wt=32): 1263 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(1254(a,1),563(a,1,2))]. given #1877 (H,wt=25): 1977 (L(x,y,z) * (1 / x)) / L(x,y,z) = L(1 / x,L(x,y,z),1 / x). [hyper(189,a,1347,a(flip),b,1263,a(flip)),flip(a)]. given #1878 (H,wt=29): 1979 x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = L(1 / x,L(x,y,z),1 / x) * x. [para(1977(a,1),680(a,1,1)),flip(a)]. given #1879 (H,wt=29): 1980 x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = x * L(x \ 1,L(x,y,z),1 / x). [hyper(189,a,502,a(flip),b,1979,a)]. given #1880 (H,wt=22): 1981 x * L(x \ 1,L(x,y,z),1 / x) = K(L(x,y,z),1 / x). [hyper(189,a,1325,a(flip),b,1980,a(flip))]. given #1881 (H,wt=32): 1277 ((x * y) \ x) * z != (y \ 1) * (y * ((x * y) \ x)) | K(y \ 1,y * ((x * y) \ x)) = z. [para(1275(a,1),215(a,1,1))]. given #1882 (H,wt=13): 1982 K(x \ 1,x * ((y * x) \ y)) = 1. [hyper(1277,a,1894,a(flip))]. given #1883 (H,wt=13): 1983 T(x,(y * x) \ y) = (x \ 1) \ 1. [hyper(75,a,1982,a(flip),b,1875,a(flip)),flip(a)]. given #1884 (H,wt=13): 1984 T(x,(y * x) \ y) = T(x,x \ 1). [hyper(189,a,114,a,b,1983,a)]. given #1885 (H,wt=14): 1987 T(x,L(x \ 1,x,y)) = (x \ 1) \ 1. [para(140(a,2),1983(a,1,2))]. given #1886 (H,wt=14): 1989 T(x,L(x \ 1,x,y)) = T(x,x \ 1). [para(140(a,2),1984(a,1,2))]. given #1887 (H,wt=15): 1985 K(x,(y * x) \ y) = ((x \ 1) \ 1) / x. [hyper(76,a,1983,a(flip),b,1719,a),flip(a)]. given #1888 (H,wt=13): 1990 K(x,(y * x) \ y) = K(x,x \ 1). [hyper(189,a,1533,a(flip),b,1985,a)]. given #1889 (H,wt=15): 1986 T(x \ y,y \ x) = ((x \ y) \ 1) \ 1. [para(17(a,1),1983(a,1,2,1))]. given #1890 (H,wt=15): 1995 1 / T(x \ y,y \ x) = (x \ y) \ 1. [para(1986(a,2),67(a,1,2))]. given #1891 (H,wt=17): 1992 K(x \ y,(x \ y) \ 1) = K(x \ y,y \ x). [para(17(a,1),1990(a,1,2,1)),flip(a)]. given #1892 (H,wt=17): 1996 T(x \ (x / y),y) = ((x \ (x / y)) \ 1) \ 1. [para(69(a,1),1986(a,1,2))]. given #1893 (H,wt=17): 1999 1 / T((x * y) \ x,y) = ((x * y) \ x) \ 1. [para(16(a,1),1995(a,1,2,2))]. given #1894 (H,wt=17): 2000 (x \ y) * (1 / (x \ y)) = K(x \ y,y \ x). [hyper(1539,a,1992,a)]. given #1895 (H,wt=19): 1993 K(T(x,y),T(x,y) \ 1) = K(T(x,y),(x * y) \ y). [para(113(a,1),1990(a,1,2,1)),flip(a)]. given #1896 (H,wt=21): 1988 T(K(x,y),(x * y) \ (y * x)) = T(K(x,y),K(x,y) \ 1). [para(95(a,1),1984(a,1,2,1))]. given #1897 (H,wt=17): 2001 T(K(x,y),K(x,y) \ 1) = T(K(x,y),K(y,x)). [para(29(a,2),1988(a,1,2)),flip(a)]. given #1898 (H,wt=18): 2002 T(K(x,y),K(y,x)) != z | (K(x,y) \ 1) \ 1 = z. [para(2001(a,1),315(a,1))]. given #1899 (H,wt=11): 2003 (K(x,y) \ 1) \ 1 = K(x,y). [hyper(2002,a,1958,a)]. given #1900 (H,wt=11): 2004 1 / K(x,y) = K(x,y) \ 1. [para(2003(a,1),67(a,1,2))]. given #1901 (H,wt=11): 2005 1 / (1 / K(x,y)) = K(x,y). [para(2003(a,1),130(a,1,2,2))]. given #1902 (H,wt=14): 2006 K(x,y) \ 1 != z | 1 / K(x,y) = z. [para(2005(a,1),236(a,1,1)),flip(b)]. given #1903 (H,wt=21): 1998 x * K((x \ y) \ 1,x \ y) = y * (((y \ x) \ 1) \ 1). [para(1986(a,1),1073(a,1,2)),flip(a)]. given #1904 (H,wt=22): 1997 (x \ y) * (((y \ x) \ 1) \ 1) != z | (y \ x) * (x \ y) = z. [para(1986(a,1),205(a,1,2))]. given #1905 (H,wt=23): 1994 K(x \ y,T(y,x) \ ((y * x) / y)) = K(x \ y,(x \ y) \ 1). [para(1027(a,2),1990(a,1,2,1))]. given #1906 (H,wt=21): 2007 K(x \ y,T(x / y,T(y,x))) = K(x \ y,(x \ y) \ 1). [para(1465(a,1),1994(a,1,2))]. given #1907 (H,wt=19): 2008 K(x \ y,T(x / y,T(y,x))) = K(x \ y,y \ x). [hyper(189,a,1992,a(flip),b,2007,a)]. given #1908 (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(33(a,2),1582(a,1,1,2,2))]. given #1909 (H,wt=28): 2009 K(x \ (x / R(y,z,u)),x) = (((y * z) * T((y * z) \ z,x)) * u) / (z * u). [para(1100(a,1),1585(a,2,1))]. given #1910 (H,wt=26): 2010 K(x \ (x / R(y,z,u)),x) = (((y * T(y \ 1,x)) * z) * u) / (z * u). [para(1119(a,1),2009(a,2,1,1))]. given #1911 (H,wt=21): 2011 R(x * T(x \ 1,y),z,u) = K(y \ (y / R(x,z,u)),y). [hyper(189,a,33,a,b,2010,a),flip(a)]. given #1912 (H,wt=24): 2012 K(x \ (x / R(y,z,u)),x) != w | R(y * T(y \ 1,x),z,u) = w. [para(2010(a,2),385(a,1))]. given #1913 (H,wt=24): 2013 R(x,y,z) * T(R(x,y,z) \ 1,u) = R(x * T(x \ 1,u),y,z). [hyper(189,a,886,a(flip),b,2011,a),flip(a)]. given #1914 (H,wt=25): 2014 R(x * T(x \ 1,R(x,y,z)),y,z) = K(R(x,y,z) \ 1,R(x,y,z)). [para(64(a,1),2011(a,2,1,2))]. given #1915 (H,wt=30): 2016 K(R(x,y,z) \ 1,R(x,y,z)) * (y * z) = ((x * T(x \ 1,R(x,y,z))) * y) * z. [para(2014(a,1),110(a,1,1))]. given #1916 (H,wt=32): 1642 (x * y) * R((x * y) \ (z * y),u,w) != v5 * v6 | v5 \ ((x * R(x \ z,u,w)) * y) = v6. [para(1634(a,2),426(a,1))]. given #1917 (H,wt=33): 882 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(877(a,1),587(a,1,1,2))]. given #1918 (H,wt=32): 2017 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(1230(a,1),882(a,1,1))]. given #1919 (H,wt=33): 898 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(876(a,1),890(a,1,1,2))]. given #1920 (H,wt=26): 2018 K(T(x,R(x \ 1,y,z)),R(x \ 1,y,z)) = x \ T(x,R(x \ 1,y,z)). [para(35(a,2),898(a,1,1))]. given #1921 (H,wt=33): 943 ((x * y) * (z * u)) / ((y * z) * L(u,z,x * y)) = R(R(x,y,z),y * z,L(u,z,x * y)). [para(102(a,1),378(a,1,1))]. given #1922 (H,wt=33): 1245 K(x \ 1,x) * R(((x \ 1) * x) \ y,z,u) = (x \ 1) * (x * R(x \ ((x \ 1) \ y),z,u)). [para(165(a,2),810(a,1,1))]. given #1923 (H,wt=33): 1726 (x \ ((y \ x) * z)) * R((x \ ((y \ x) * z)) \ z,u,w) = x \ ((R(y,u,w) * (y \ x)) * z). [para(513(a,1),1638(a,2,2,1))]. given #1924 (H,wt=31): 2020 K(x \ y,x) * R((y \ ((x \ y) * x)) \ x,z,u) = y \ ((R(x,z,u) * (x \ y)) * x). [para(96(a,1),1726(a,1,1))]. given #1925 (H,wt=29): 2021 K(x \ y,x) * R(K(x \ y,x) \ x,z,u) = y \ ((R(x,z,u) * (x \ y)) * x). [para(96(a,1),2020(a,1,2,1,1))]. given #1926 (H,wt=33): 1782 R(x * y,z,K(y * z,R(x,y,z))) \ ((y * z) * R(x,y,z)) = z * K(y * z,R(x,y,z)). [hyper(726,a,110,a(flip))]. given #1927 (H,wt=33): 1801 (x * ((y / (z * (x \ y))) / x)) * (z * (x \ y)) = x * ((z * ((x * (z \ 1)) / x)) * (x \ y)). [para(1796(a,1),1789(a,1,2)),flip(a)]. given #1928 (H,wt=33): 2019 K(x \ 1,x) * R(K(x \ 1,x) \ y,z,u) = (x \ 1) * (x * R(x \ ((x \ 1) \ y),z,u)). [para(165(a,2),1245(a,1,2,1,1))]. given #1929 (H,wt=33): 2022 K(x \ 1,x) * R(K(x \ 1,x) \ (y * x),z,u) = ((x \ 1) * R((x \ 1) \ y,z,u)) * x. [hyper(189,a,1636,a(flip),b,2019,a)]. given #1930 (H,wt=29): 2023 K(x \ 1,x) * R(K(x \ 1,x) \ (y * x),z,u) = (x \ R(x * y,z,u)) * x. [para(823(a,1),2022(a,2,1))]. given #1931 (H,wt=34): 666 (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(218(a,1),510(a,1,1,1)),flip(a)]. given #1932 (H,wt=29): 2024 (x * K(x,y)) * R((x * K(x,y)) \ (x * y),z,u) = (R(y,z,u) * x) * K(x,y). [hyper(189,a,382,a(flip),b,666,a)]. given #1933 (H,wt=25): 2025 x * (K(x,y) * R(K(x,y) \ y,z,u)) = (R(y,z,u) * x) * K(x,y). [hyper(948,a,2024,a)]. given #1934 (H,wt=28): 2026 x * (K(x,y) * R(K(x,y) \ y,y \ 1,y)) = (T(y,y \ 1) * x) * K(x,y). [para(1135(a,1),2025(a,2,1,1))]. given #1935 (H,wt=34): 816 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(773(a,1),399(a,1,1,1))]. given #1936 (H,wt=34): 958 (((x * y) \ y) / (y / (x * y))) / (1 / (y / (x * y))) = T(1 / (1 / R(1 / x,x,y)),x * y). [para(141(a,2),803(a,2,1,2,2))]. given #1937 (H,wt=28): 2027 T(1 / (1 / R(1 / x,x,y)),x * y) = T(1 / (1 / (y / (x * y))),x * y). [hyper(189,a,803,a(flip),b,958,a(flip))]. given #1938 (H,wt=34): 1966 (T((x / (1 / y)) / y,z) * y) * (1 / y) != u | K(y,y \ 1) * T(K(y,y \ 1) \ x,z) = u. [para(1935(a,2),544(a,1))]. given #1939 (H,wt=31): 2028 K(x,x \ 1) * T(K(x,x \ 1) \ y,z) = x * ((1 / x) * T((1 / x) \ (x \ y),z)). [hyper(1966,a,1163,a)]. given #1940 (H,wt=27): 2029 K(x,x \ 1) * T(K(x,x \ 1) \ y,z) = x * (T((x \ y) * x,z) / x). [para(778(a,1),2028(a,2,2))]. given #1941 (H,wt=19): 2030 K(x,x \ 1) * T(K(x,x \ 1) \ y,x) = T(y,x). [hyper(189,a,1174,a(flip),b,2029,a)]. given #1942 (H,wt=19): 2031 T(x * K(y,y \ 1),y) = T(x,y) * K(y,y \ 1). [hyper(571,a,2030,a),flip(a)]. given #1943 (H,wt=21): 2033 T((x / y) * K(y,y \ 1),y) = (y \ x) * K(y,y \ 1). [para(115(a,1),2031(a,2,1))]. given #1944 (H,wt=19): 2034 x \ (y * K(x,x \ 1)) = (x \ y) * K(x,x \ 1). [hyper(189,a,1567,a(flip),b,2033,a(flip)),flip(a)]. given #1945 (H,wt=19): 2035 x * ((x \ y) * K(x,x \ 1)) = y * K(x,x \ 1). [para(2034(a,1),17(a,1,2))]. given #1946 (H,wt=19): 2036 (x * y) * K(x,x \ 1) = x * (y * K(x,x \ 1)). [para(16(a,1),2035(a,1,2,1)),flip(a)]. given #1947 (H,wt=10): 2037 R(x,y,K(x,x \ 1)) = x. [hyper(376,a,2036,a)]. given #1948 (H,wt=14): 2038 L(K(x,x \ 1),y,x) = K(x,x \ 1). [hyper(346,a,2036,a)]. given #1949 (H,wt=14): 2039 R(T(x,y),z,K(x,x \ 1)) = T(x,y). [para(2037(a,1),45(a,2,1))]. given #1950 (H,wt=13): 2041 T(x,y * K(x,x \ 1)) = T(x,y). [hyper(189,a,1566,a(flip),b,2039,a(flip))]. given #1951 (H,wt=16): 2044 T(x,R(x \ 1,x,y)) = T(x,y / (x * y)). [para(1746(a,2),2041(a,1,2)),flip(a)]. given #1952 (H,wt=17): 2043 T(x \ 1,y * K(x \ 1,x)) = T(x \ 1,y). [para(1538(a,1),2041(a,1,2,2))]. given #1953 (H,wt=15): 2047 T(x \ 1,T(x,x \ 1)) = T(x \ 1,x). [para(1143(a,1),2043(a,1,2)),flip(a)]. given #1954 (H,wt=19): 2040 (x * y) / K(x,x \ 1) = x * (y / K(x,x \ 1)). [para(2038(a,1),398(a,1,2))]. given #1955 (H,wt=23): 2032 T((1 / K(x,x \ 1)) * y,x) = (1 / K(x,x \ 1)) * T(y,x). [hyper(807,a,2031,a),flip(a)]. given #1956 (H,wt=21): 2049 (1 / K(x,x \ 1)) * T(y,x) = T(K(x \ 1,x) * y,x). [para(339(a,1),2032(a,1,1,1)),flip(a)]. given #1957 (H,wt=19): 2050 T(K(x \ 1,x) * y,x) = K(x \ 1,x) * T(y,x). [para(339(a,1),2049(a,1,1)),flip(a)]. given #1958 (H,wt=21): 2051 x * T(K(x \ 1,x) * y,x) = K(x \ 1,x) * (y * x). [para(2050(a,2),1192(a,1,2))]. given #1959 (H,wt=19): 2052 (K(x \ 1,x) * y) * x = K(x \ 1,x) * (y * x). [hyper(205,a,2051,a)]. given #1960 (H,wt=10): 2053 L(x,y,K(x \ 1,x)) = x. [hyper(346,a,2052,a)]. given #1961 (H,wt=14): 2054 L(T(x,y),z,K(x \ 1,x)) = T(x,y). [para(2053(a,1),43(a,2,1))]. given #1962 (H,wt=13): 2055 T(x,K(x \ 1,x) * y) = T(x,y). [hyper(1699,a,2054,a)]. given #1963 (H,wt=18): 2056 T(x,L(x \ y,x,x \ 1)) = T(x,(x \ 1) * y). [para(813(a,1),2055(a,1,2)),flip(a)]. given #1964 (H,wt=23): 2048 T(x \ T(x,y),T(x,x \ 1)) = K(y \ (y / T(x \ 1,x)),y). [para(2047(a,1),1378(a,2,1,2,2))]. given #1965 (H,wt=19): 2057 T(x \ T(x,y),T(x,x \ 1)) = T(x \ T(x,y),x). [hyper(189,a,1378,a,b,2048,a)]. given #1966 (H,wt=24): 2058 T((x * y) \ (y * x),T(y,y \ 1)) = L(T(y \ T(y,x),y),y,x). [para(2057(a,1),585(a,1,1)),flip(a)]. given #1967 (H,wt=23): 2059 T((x * y) \ (y * x),T(y,y \ 1)) = T((x * y) \ (y * x),y). [hyper(189,a,585,a(flip),b,2058,a)]. given #1968 (H,wt=19): 2060 T((x * y) \ (y * x),T(y,y \ 1)) = T(K(y,x),y). [para(29(a,2),2059(a,2,1))]. given #1969 (H,wt=15): 2061 T(K(x,y),T(x,x \ 1)) = T(K(x,y),x). [para(29(a,2),2060(a,1,1))]. given #1970 (H,wt=25): 2046 K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)) = x \ T(x,y / (x * y)). [para(2044(a,1),2018(a,2,2))]. given #1971 (H,wt=35): 872 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(867(a,1),522(a,1,1,2)),flip(a)]. given #1972 (H,wt=35): 950 (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(709(a,2),148(a,2))]. given #1973 (H,wt=35): 968 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(962(a,1),522(a,1,1,2)),flip(a)]. given #1974 (H,wt=35): 1708 (x \ T(x,y)) * ((x \ 1) \ ((x \ 1) / (x \ T(x,y)))) = K(x \ T(x,y),(x \ 1) / (x \ T(x,y))). [hyper(20,a,214,a,b,1707,a)]. given #1975 (H,wt=31): 2062 K(x \ T(x,y),(x \ 1) / (x \ T(x,y))) = (x \ T(x,y)) * ((x \ 1) \ (T(x,y) \ 1)). [para(1851(a,1),1708(a,1,2,2)),flip(a)]. given #1976 (H,wt=17): 2063 (x \ T(x,y)) * ((x \ 1) \ (T(x,y) \ 1)) = 1. [hyper(189,a,1853,a(flip),b,2062,a(flip))]. given #1977 (H,wt=17): 2064 (x \ 1) \ (T(x,y) \ 1) = (x \ T(x,y)) \ 1. [hyper(75,a,1853,a(flip),b,2062,a(flip)),flip(a)]. given #1978 (H,wt=20): 2066 (x \ T(x,y)) \ 1 != z | (x \ 1) \ (T(x,y) \ 1) = z. [para(2063(a,1),237(a,1,2)),flip(b)]. given #1979 (H,wt=35): 1946 K(x,y) * T(K(x,y) \ (K(x,y) / (y \ 1)),z) = (y * K(x,y)) * ((y \ 1) * T((y \ 1) \ 1,z)). [para(1944(a,1),722(a,1,1)),flip(a)]. given #1980 (H,wt=29): 2067 K(x,y) * T(K(x,y) \ (K(x,y) / (y \ 1)),z) = (y * K(x,y)) * (y \ T(y,z)). [para(770(a,1),1946(a,2,2))]. given #1981 (H,wt=27): 2068 K(x,y) * T(K(x,y) \ (y * K(x,y)),z) = (y * K(x,y)) * (y \ T(y,z)). [para(1944(a,1),2067(a,1,2,1,2))]. given #1982 (H,wt=23): 2069 K(x,y) * T(T(y,K(x,y)),z) = (y * K(x,y)) * (y \ T(y,z)). [para(35(a,2),2068(a,1,2,1))]. given #1983 (H,wt=35): 1976 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(18(a,1),1975(a,2,1,2))]. given #1984 (H,wt=26): 2070 K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)) = L(x \ x,y,z). [para(1339(a,1),1976(a,1,1,2)),flip(a)]. given #1985 (H,wt=24): 2071 K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)) = L(1,y,z). [para(59(a,1),2070(a,2,1))]. given #1986 (H,wt=21): 2072 K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)) = 1. [hyper(189,a,265,a(flip),b,2071,a)]. given #1987 (H,wt=23): 2075 ((x * L(x \ 1,y,z)) \ x) * (x * L(x \ 1,y,z)) = x * 1. [para(2072(a,1),213(a,1,2)),flip(a)]. given #1988 (H,wt=21): 2076 ((x * L(x \ 1,y,z)) \ x) * (x * L(x \ 1,y,z)) = x. [hyper(189,a,15,a(flip),b,2075,a)]. given #1989 (H,wt=24): 2077 x * (y * L(y \ 1,z,u)) != y | (y * L(y \ 1,z,u)) \ y = x. [para(2076(a,1),23(a,1)),flip(a)]. given #1990 (H,wt=36): 907 (((x * y) \ x) \ K(y,x)) / (L(y \ 1,y,x) \ 1) = L(y \ 1,y,x) * T(L(y \ 1,y,x) \ 1,x). [para(905(a,1),789(a,1,1))]. given #1991 (H,wt=22): 2078 (((x * y) \ x) \ K(y,x)) / (L(y \ 1,y,x) \ 1) = K(y,x). [hyper(189,a,906,a,b,907,a)]. given #1992 (H,wt=21): 2079 (((x * y) \ x) \ K(y,x)) / (((x * y) \ x) \ 1) = K(y,x). [para(140(a,1),2078(a,1,2,1))]. given #1993 (H,wt=32): 2080 T(K(x,y),((y * x) \ y) \ 1) != z | (((y * x) \ y) \ 1) \ (((y * x) \ y) \ K(x,y)) = z. [para(2079(a,1),307(a,1,1))]. given #1994 (H,wt=36): 919 ((x \ 1) * L((x \ 1) \ y,z,u)) * T(x,x \ 1) = R(L(y / (x \ 1),z,u),x \ 1,(x \ 1) \ 1). [para(502(a,1),448(a,1,1))]. given #1995 (H,wt=32): 2081 R(L(x / (y \ 1),z,u),y \ 1,(y \ 1) \ 1) = (y \ L(y * x,z,u)) * T(y,y \ 1). [para(817(a,1),919(a,1,1)),flip(a)]. given #1996 (H,wt=25): 2082 (x \ L(x * y,z,u)) * T(x,x \ 1) = L(y * ((x \ 1) \ 1),z,u). [hyper(189,a,463,a(flip),b,2081,a(flip))]. given #1997 (H,wt=37): 1703 (T(x,y) * (L(x,z,u) * y)) \ ((y * L(T(x,y),z,u)) * T(T(x,y),y)) = a(T(x,y),y,L(T(x,y),z,u)). [para(1270(a,2),499(a,1,2))]. given #1998 (H,wt=35): 2083 (T(x,y) * (L(x,z,u) * y)) \ ((L(x,z,u) * y) * T(T(x,y),y)) = a(T(x,y),y,L(T(x,y),z,u)). [para(159(a,1),1703(a,1,2,1))]. given #1999 (H,wt=37): 1805 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(326(a,2),1802(a,2,1,2,1)),flip(a)]. given #2000 (H,wt=35): 2084 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(1018(a,1),1805(a,2,2,1))]. given #2001 (H,wt=25): 2085 T(x,y) * ((T(x,y) \ T(x,z)) / T(x,z)) = T(K(T(x,z),1 / x),y). [para(1326(a,1),2084(a,1,1)),flip(a)]. given #2002 (H,wt=19): 2086 K(T(x,y),1 / T(x,z)) = T(K(T(x,y),1 / x),z). [hyper(189,a,1417,a(flip),b,2085,a(flip)),flip(a)]. given #2003 (H,wt=22): 2087 T(K(T(x,y),1 / x),y) != z | K(T(x,y),T(x,y) \ 1) = z. [para(2086(a,1),1559(a,1))]. given #2004 (H,wt=23): 2088 T(x,y) * ((T(x,y) / x) \ (1 / x)) = K(T(x,y),T(x,y) \ 1). [hyper(2087,a,1928,a(flip)),flip(a)]. given #2005 (H,wt=15): 2089 (T(x,y) / x) \ (1 / x) = 1 / T(x,y). [hyper(20,a,1535,a(flip),b,2088,a)]. given #2006 (H,wt=27): 2090 (T(T(x,x \ 1),y) / T(x,x \ 1)) \ (x \ 1) = 1 / T(T(x,x \ 1),y). [para(174(a,1),2089(a,1,2))]. given #2007 (H,wt=19): 2091 (x \ T(x,y)) \ (x \ 1) = 1 / T(T(x,x \ 1),y). [para(1528(a,1),2090(a,1,1))]. given #2008 (H,wt=15): 2092 1 / T(T(x,x \ 1),y) = T(x,y) \ 1. [hyper(189,a,1854,a(flip),b,2091,a(flip))]. given #2009 (H,wt=15): 2093 T(T(x,x \ 1),y) = (T(x,y) \ 1) \ 1. [para(2092(a,1),69(a,1,1)),flip(a)]. given #2010 (H,wt=15): 2094 T(1 / (1 / x),y) \ 1 = 1 / T(x,y). [para(228(a,1),2092(a,1,2,1)),flip(a)]. given #2011 (H,wt=15): 2095 (T(x,y) \ 1) \ 1 = T((x \ 1) \ 1,y). [hyper(189,a,525,a(flip),b,2093,a(flip))]. given #2012 (H,wt=15): 2096 (T(1 / x,y) \ 1) \ 1 = T(x \ 1,y). [para(497(a,1),2093(a,1,1)),flip(a)]. given #2013 (H,wt=15): 2097 1 / (1 / T(x,y)) = T(1 / (1 / x),y). [para(2094(a,1),67(a,1,2))]. given #2014 (H,wt=17): 2098 T(((x / y) \ 1) \ 1,y) = ((y \ x) \ 1) \ 1. [para(115(a,1),2095(a,1,1,1)),flip(a)]. given #2015 (H,wt=17): 2100 T(1 / (1 / (x / y)),y) = 1 / (1 / (y \ x)). [para(115(a,1),2097(a,1,2,2)),flip(a)]. given #2016 (H,wt=19): 2102 T(x,((y * x) / y) \ 1) = ((y \ (y * x)) \ 1) \ 1. [hyper(608,a,2098,a)]. given #2017 (H,wt=15): 2107 T(x,((y * x) / y) \ 1) = (x \ 1) \ 1. [para(16(a,1),2102(a,2,1,1))]. given #2018 (H,wt=13): 2108 T(x,y / (y * x)) = (x \ 1) \ 1. [hyper(189,a,1775,a(flip),b,2107,a(flip)),flip(a)]. given #2019 (H,wt=13): 2110 T(x,y / (y * x)) = T(x,x \ 1). [hyper(189,a,114,a,b,2108,a)]. given #2020 (H,wt=15): 2111 T(x \ y,x / y) = ((x \ y) \ 1) \ 1. [para(17(a,1),2108(a,1,2,2))]. given #2021 (H,wt=17): 2113 T(x \ (y \ x),y) = ((x \ (y \ x)) \ 1) \ 1. [para(67(a,1),2111(a,1,2))]. given #2022 (H,wt=17): 2114 1 / T(x \ (y \ x),y) = (x \ (y \ x)) \ 1. [para(2113(a,2),67(a,1,2))]. given #2023 (H,wt=19): 2103 (((x / y) \ 1) \ 1) * y = y * (((y \ x) \ 1) \ 1). [para(2098(a,1),113(a,1,2)),flip(a)]. given #2024 (H,wt=19): 2104 (x * (((x \ y) \ 1) \ 1)) / x = ((y / x) \ 1) \ 1. [para(2098(a,1),143(a,1,1,2))]. given #2025 (H,wt=19): 2105 (1 / (1 / (x / y))) * y = y * (1 / (1 / (y \ x))). [para(2100(a,1),113(a,1,2)),flip(a)]. given #2026 (H,wt=19): 2106 (x * (1 / (1 / (x \ y)))) / x = 1 / (1 / (y / x)). [para(2100(a,1),143(a,1,1,2))]. given #2027 (H,wt=19): 2112 (x / (x * y)) * T(y,y \ 1) = y * (x / (x * y)). [para(2110(a,1),113(a,1,2))]. given #2028 (H,wt=19): 2116 (x * ((y \ 1) \ 1)) / x = (((x * y) / x) \ 1) \ 1. [para(16(a,1),2104(a,1,1,2,1,1))]. given #2029 (H,wt=20): 2118 T(1 / (1 / (x / y)),y) != z | 1 / (1 / (y \ x)) = z. [para(2106(a,1),242(a,1,1)),flip(b)]. given #2030 (H,wt=21): 2099 T(x,y) * K(T(x,y) \ 1,T(x,y)) = T(1 / (1 / x),y). [hyper(189,a,474,a,b,2097,a(flip)),flip(a)]. given #2031 (H,wt=22): 2117 (((x / y) \ 1) \ 1) * y != z | y * (((y \ x) \ 1) \ 1) = z. [para(2104(a,1),200(a,1,1)),flip(b)]. given #2032 (H,wt=23): 2101 ((x * T(1 / (1 / y),x)) / x) \ (y / T(y,x)) = 1 / T(y,x). [para(2097(a,1),1292(a,1,1,1,2))]. given #2033 (H,wt=17): 2119 (1 / (1 / x)) \ (x / T(x,y)) = 1 / T(x,y). [para(143(a,1),2101(a,1,1))]. given #2034 (H,wt=30): 2115 ((R(x / y,y,z) \ 1) \ 1) * (y * z) = (y * z) * ((((y * z) \ (x * z)) \ 1) \ 1). [para(111(a,2),2103(a,1,1,1,1))]. given #2035 (H,wt=38): 1451 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(1447(a,1),498(a,1,2))]. given #2036 (H,wt=32): 2121 L(1 / x,K(x \ 1,x),y) * (y * K(x \ 1,x)) = y * ((x \ 1) * (x * T(x \ 1,y))). [para(2043(a,1),1451(a,1,2,2,2)),flip(a)]. given #2037 (H,wt=39): 1581 ((x * T(y,z)) / T(y,z)) * T(((x * T(y,z)) / T(y,z)) \ (x * y),u) = ((x * T(y,z)) * T(y,u)) / T(y,z). [para(1479(a,1),1458(a,1,1,2,1)),flip(a)]. given #2038 (H,wt=31): 2122 x * T(((x * T(y,z)) / T(y,z)) \ (x * y),u) = ((x * T(y,z)) * T(y,u)) / T(y,z). [para(18(a,1),1581(a,1,1))]. given #2039 (H,wt=23): 2123 ((x * T(y,z)) * T(y,u)) / T(y,z) = x * T(x \ (x * y),u). [para(18(a,1),2122(a,1,2,1,1)),flip(a)]. given #2040 (H,wt=19): 2124 ((x * T(y,z)) * T(y,u)) / T(y,z) = x * T(y,u). [para(16(a,1),2123(a,2,2,1))]. given #2041 (H,wt=19): 2125 (x * T(y,z)) / T(y,u) = (x / T(y,u)) * T(y,z). [para(19(a,1),2124(a,1,1,1))]. given #2042 (H,wt=39): 2045 (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(2044(a,1),152(a,1,2,1))]. given #2043 (H,wt=32): 2126 (x * R(x \ 1,x,y)) \ (x * (y / (x * y))) = K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)). [para(1677(a,1),2045(a,1,2))]. given #2044 (H,wt=23): 2127 K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)) = K(x,y / (x * y)). [hyper(607,a,2126,a),flip(a)]. given #2045 (H,wt=17): 2128 x \ T(x,y / (x * y)) = K(x,y / (x * y)). [hyper(189,a,2046,a(flip),b,2127,a(flip)),flip(a)]. given #2046 (H,wt=13): 2129 K(x,y / (x * y)) = K(x,x \ 1). [hyper(1771,a,2128,a),flip(a)]. given #2047 (H,wt=16): 2130 K(x,y / (x * y)) != z | K(x,x \ 1) = z. [para(2128(a,1),1771(a,1))]. given #2048 (H,wt=17): 2131 K(x / y,(x / y) \ 1) = K(x / y,y / x). [para(19(a,1),2129(a,1,2,2)),flip(a)]. given #2049 (H,wt=20): 2132 K(x / y,y / x) != z | K(x / y,(x / y) \ 1) = z. [para(19(a,1),2130(a,1,2,2))]. given #2050 (H,wt=23): 2133 (K(x / y,y / x) * y) / x = ((x / y) * (y / x)) / (x / y). [para(2131(a,1),1706(a,1,1,1))]. given #2051 (H,wt=19): 2135 (K(x / y,y / x) * y) / x = 1 / (1 / (y / x)). [hyper(189,a,1767,a(flip),b,2133,a)]. given #2052 (H,wt=24): 2134 K(x / (y * x),y) != z | K(x / (y * x),(x / (y * x)) \ 1) = z. [para(18(a,1),2132(a,1,2))]. given #2053 (H,wt=28): 2136 (K((x * y) / y,y / (x * y)) * y) / (x * y) = 1 / (1 / R(1 / x,x,y)). [para(141(a,2),2135(a,2,2,2))]. given #2054 (H,wt=40): 1792 (x * (R(y / z,z,y \ u) / x)) * (z * (y \ u)) = x * ((z * (y \ u)) * ((x * ((z * (y \ u)) \ (x \ u))) / x)). [para(390(a,2),1789(a,2,1,2,1)),flip(a)]. given #2055 (H,wt=36): 2137 (x * (R(y / z,z,y \ u) / x)) * (z * (y \ u)) = (x * ((u / (z * (y \ u))) / x)) * (z * (y \ u)). [hyper(189,a,1789,a(flip),b,1792,a)]. given #2056 (H,wt=41): 1358 ((T(x,y) * (x \ 1)) * x) * L(z,(x \ 1) * x,T(T(x,x \ 1),y)) = R(T(x,y),x \ 1,x) * (((x \ 1) * x) * z). [para(1138(a,1),389(a,1,2,3))]. given #2057 (H,wt=39): 2138 ((x \ T(x,y)) * x) * L(z,(x \ 1) * x,T(T(x,x \ 1),y)) = R(T(x,y),x \ 1,x) * (((x \ 1) * x) * z). [para(773(a,1),1358(a,1,1,1))]. given #2058 (H,wt=39): 2139 ((x \ T(x,y)) * x) * L(z,K(x \ 1,x),T(T(x,x \ 1),y)) = R(T(x,y),x \ 1,x) * (((x \ 1) * x) * z). [para(165(a,2),2138(a,1,2,2))]. given #2059 (H,wt=41): 2015 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(870(a,1),2011(a,2,1,2))]. given #2060 (H,wt=39): 2140 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(632(a,1),2015(a,1,1,2,1))]. given #2061 (H,wt=32): 2141 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(1660(a,1),2140(a,1,1,2)),flip(a)]. given #2062 (H,wt=42): 1281 ((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(110(a,1),831(a,1,2))]. given #2063 (H,wt=39): 2143 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((x * ((z * u) / ((y * z) * u))) / x) * ((y * z) * u). [para(110(a,1),1281(a,1,1,1,2,2)),flip(a)]. given #2064 (H,wt=39): 2144 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((y * z) * u) * ((x * (((y * z) * u) \ (z * u))) / x). [hyper(189,a,680,a(flip),b,2143,a)]. given #2065 (H,wt=35): 2145 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((y * z) * ((x * ((y * z) \ z)) / x)) * u. [hyper(189,a,1785,a(flip),b,2144,a)]. given #2066 (H,wt=35): 2146 (R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u)) * (y * z) = ((x * y) * ((u * ((x * y) \ y)) / u)) * z. [para(680(a,1),2145(a,1,1))]. given #2067 (H,wt=33): 2147 (R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u)) * (y * z) = ((x * ((u * (x \ 1)) / u)) * y) * z. [para(1796(a,1),2146(a,2,1))]. given #2068 (H,wt=28): 2148 R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u) = R(x * ((u * (x \ 1)) / u),y,z). [hyper(21,a,110,a,b,2147,a)]. given #2069 (H,wt=23): 2149 R(x * ((y * (x \ 1)) / y),z,u) = K(y,(y / R(x,z,u)) / y). [hyper(1320,a,2148,a),flip(a)]. given #2070 (H,wt=30): 2150 R(x * ((R(x,y,z) * (x \ 1)) / R(x,y,z)),y,z) = R(x,y,z) * (1 / R(x,y,z)). [para(17(a,1),2148(a,1,2,1)),flip(a)]. given #2071 (H,wt=30): 2151 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(189,a,1535,a,b,2150,a)]. given #2072 (H,wt=28): 2152 R(x * ((x \ R(x,y,z)) / R(x,y,z)),y,z) = K(R(x,y,z),R(x,y,z) \ 1). [para(867(a,1),2151(a,1,1,2,1))]. given #2073 (H,wt=42): 1314 (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(31(a,2),1312(a,1,1)),flip(a)]. given #2074 (H,wt=37): 2153 (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(31(a,2),1314(a,2,2,1,1))]. given #2075 (H,wt=37): 2154 (x * y) \ (x * ((y * z) * L((y * z) \ (x \ (x * y)),u,w))) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). [para(811(a,1),2153(a,1,2))]. given #2076 (H,wt=33): 2155 (x * y) \ (x * ((y * z) * L((y * z) \ y,u,w))) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). [para(16(a,1),2154(a,1,2,2,2,1,2))]. given #2077 (H,wt=31): 2156 (x * y) \ (x * (y * (z * L(z \ 1,u,w)))) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). [para(709(a,1),2155(a,1,2,2))]. given #2078 (H,wt=26): 2157 L(x,y,z) * L(L(x,y,z) \ 1,u,w) = L(x * L(x \ 1,u,w),y,z). [hyper(355,a,2156,a),flip(a)]. given #2079 (H,wt=33): 2158 L(x,y,z) * L(L(x,y,z) \ 1,(x \ 1) \ 1,x \ 1) = L(x * (1 / (1 / (x \ 1))),y,z). [para(472(a,1),2157(a,2,1,2))]. given #2080 (H,wt=34): 2159 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(1262(a,1),2157(a,1,2))]. given #2081 (H,wt=32): 2160 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(15(a,1),2159(a,1,2,2)),flip(a)]. given #2082 (H,wt=27): 2161 L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)) = L(K(L(x,y,z),1 / x),y,z). [para(1981(a,1),2160(a,1,1)),flip(a)]. given #2083 (H,wt=42): 1316 (x * y) \ ((x * (y * z)) * R((x * (y * z)) \ (x * y),u,w)) = L(z,y,x) * R(((x * y) \ (x * (y * z))) \ 1,u,w). [para(31(a,2),1315(a,1,1)),flip(a)]. given #2084 (H,wt=37): 2162 (x * y) \ ((x * (y * z)) * R((x * (y * z)) \ (x * y),u,w)) = L(z,y,x) * R(L(z,y,x) \ 1,u,w). [para(31(a,2),1316(a,2,2,1,1))]. given #2085 (H,wt=33): 2163 (x * y) \ (x * ((y * z) * R((y * z) \ y,u,w))) = L(z,y,x) * R(L(z,y,x) \ 1,u,w). [para(809(a,1),2162(a,1,2))]. given #2086 (H,wt=31): 2164 (x * y) \ (x * (y * (z * R(z \ 1,u,w)))) = L(z,y,x) * R(L(z,y,x) \ 1,u,w). [para(705(a,1),2163(a,1,2,2))]. given #2087 (H,wt=29): 2165 L(x,y,z) * R(L(x,y,z) \ 1,u,w) != v5 | L(x * R(x \ 1,u,w),y,z) = v5. [para(2164(a,1),355(a,1))]. given #2088 (H,wt=32): 2166 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(2165,a,968,a)]. given #2089 (H,wt=29): 2167 ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z) = L(x * T(x \ 1,L(x,y,z)),y,z). [para(1348(a,1),2166(a,1,1,2)),flip(a)]. given #2090 (H,wt=27): 2168 ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z) = K(L(x,y,z) \ 1,L(x,y,z)). [hyper(189,a,1974,a(flip),b,2167,a)]. given #2091 (H,wt=17): 2169 (x \ 1) / (x \ L(x,y,z)) = L(x,y,z) \ 1. [hyper(21,a,165,a(flip),b,2168,a)]. given #2092 (H,wt=17): 2170 (L(x,y,z) \ 1) \ (x \ 1) = x \ L(x,y,z). [para(2169(a,1),69(a,1,1))]. given #2093 (H,wt=20): 2172 (x \ 1) / (x \ L(x,y,z)) != u | L(x,y,z) \ 1 = u. [para(2170(a,1),246(a,1,2)),flip(b)]. given #2094 (H,wt=21): 2171 x / ((1 / x) \ L(1 / x,y,z)) = L(1 / x,y,z) \ 1. [para(69(a,1),2169(a,1,1))]. given #2095 (H,wt=19): 2174 x / (x * L(x \ 1,y,z)) = L(1 / x,y,z) \ 1. [para(819(a,1),2171(a,1,2))]. given #2096 (H,wt=19): 2175 (L(1 / x,y,z) \ 1) * (x * L(x \ 1,y,z)) = x. [para(2174(a,1),19(a,1,1))]. given #2097 (H,wt=19): 2176 (x * L(x \ 1,y,z)) \ x = L(1 / x,y,z) \ 1. [hyper(2077,a,2175,a)]. given #2098 (H,wt=21): 2177 L(1 / (1 / x),y,z) \ 1 = (L(x,y,z) / x) \ (1 / x). [para(1286(a,1),2176(a,1,1)),flip(a)]. given #2099 (H,wt=32): 2173 R(x,y,z) \ L(R(x,y,z),x \ 1,x) = (R(1 / (1 / x),y,z) \ 1) \ (R(x,y,z) \ 1). [para(475(a,1),2170(a,1,1,1)),flip(a)]. given #2100 (H,wt=31): 2178 (R(1 / (1 / x),y,z) \ 1) \ (R(x,y,z) \ 1) = R(x,y,z) \ R(1 / (1 / x),y,z). [para(475(a,1),2173(a,1,2)),flip(a)]. given #2101 (H,wt=42): 1401 (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(102(a,1),1398(a,1,1))]. given #2102 (H,wt=39): 2179 (x * (y * z)) * ((u * ((x * (y * z)) \ (x * y))) / u) = (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)). [para(102(a,1),1401(a,1,2,1,2,1))]. given #2103 (H,wt=35): 2180 (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)) = x * ((y * z) * ((u * ((y * z) \ y)) / u)). [hyper(189,a,1397,a(flip),b,2179,a(flip))]. given #2104 (H,wt=33): 2181 (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)) = x * (y * (z * ((u * (z \ 1)) / u))). [para(1398(a,1),2180(a,2,2))]. given #2105 (H,wt=28): 2182 L(x,y,z) * ((u * (L(x,y,z) \ 1)) / u) = L(x * ((u * (x \ 1)) / u),y,z). [hyper(346,a,2181,a),flip(a)]. given #2106 (H,wt=30): 2183 L(x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)),y,z) = L(x,y,z) * (1 / L(x,y,z)). [para(17(a,1),2182(a,1,2,1)),flip(a)]. given #2107 (H,wt=30): 2184 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(189,a,1535,a,b,2183,a)]. given #2108 (H,wt=23): 2185 L(K(L(x,y,z),1 / x),y,z) = K(L(x,y,z),L(x,y,z) \ 1). [para(1325(a,1),2184(a,1,1))]. given #2109 (H,wt=27): 2186 L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)) = K(L(x,y,z),L(x,y,z) \ 1). [hyper(189,a,2161,a,b,2185,a(flip)),flip(a)]. given #2110 (H,wt=17): 2187 (L(x,y,z) / x) \ (1 / x) = 1 / L(x,y,z). [hyper(20,a,1535,a(flip),b,2186,a)]. given #2111 (H,wt=17): 2188 L(1 / (1 / x),y,z) \ 1 = 1 / L(x,y,z). [hyper(189,a,2177,a,b,2187,a(flip)),flip(a)]. given #2112 (H,wt=17): 2189 L(1 / (1 / x),y,z) = 1 / (1 / L(x,y,z)). [para(2188(a,1),67(a,1,2)),flip(a)]. given #2113 (H,wt=17): 2190 1 / L(x \ 1,y,z) = L(1 / x,y,z) \ 1. [para(67(a,1),2188(a,1,1,1,2)),flip(a)]. given #2114 (H,wt=17): 2191 1 / L(K(x,y),z,u) = L(K(x,y),z,u) \ 1. [para(2005(a,1),2188(a,1,1,1)),flip(a)]. given #2115 (H,wt=17): 2192 1 / (1 / L(x \ 1,y,z)) = L(1 / x,y,z). [para(67(a,1),2189(a,1,1,2)),flip(a)]. given #2116 (H,wt=16): 2195 L(1 / x,x,y) = 1 / (1 / ((y * x) \ y)). [para(140(a,1),2192(a,1,2,2)),flip(a)]. given #2117 (H,wt=17): 2193 (L(1 / x,y,z) \ 1) \ 1 = L(x \ 1,y,z). [para(2190(a,1),69(a,1,1))]. given #2118 (H,wt=17): 2194 (L(K(x,y),z,u) \ 1) \ 1 = L(K(x,y),z,u). [para(2191(a,1),69(a,1,1))]. given #2119 (H,wt=17): 2200 L((x \ 1) \ 1,y,z) = (L(x,y,z) \ 1) \ 1. [para(67(a,1),2193(a,1,1,1,1)),flip(a)]. given #2120 (H,wt=18): 2196 L(1 / (x \ y),x \ y,x) = 1 / (1 / (y \ x)). [para(276(a,1),2192(a,1,2,2)),flip(a)]. given #2121 (H,wt=18): 2197 L(1 / x,x,y / x) = 1 / (1 / (y \ (y / x))). [para(279(a,1),2192(a,1,2,2)),flip(a)]. given #2122 (H,wt=18): 2199 L(x,x \ 1,y) = 1 / (1 / ((y * (x \ 1)) \ y)). [para(67(a,1),2195(a,1,1))]. given #2123 (H,wt=19): 2203 L(T(x \ 1,x),y,z) = (L(x \ 1,y,z) \ 1) \ 1. [para(627(a,2),2200(a,1,1))]. given #2124 (H,wt=20): 2201 1 / L(K(x,y),z,u) != w | L(K(x,y),z,u) \ 1 = w. [para(2194(a,1),246(a,1,2)),flip(b)]. given #2125 (H,wt=21): 2204 x * ((x \ y) * (1 / (x \ y))) = y * (1 / (1 / (y \ x))). [para(2196(a,1),344(a,1,2)),flip(a)]. given #2126 (H,wt=19): 2206 x * K(x \ y,y \ x) = y * (1 / (1 / (y \ x))). [para(2000(a,1),2204(a,1,2))]. given #2127 (H,wt=19): 2207 x \ (y * K(y \ x,x \ y)) = 1 / (1 / (x \ y)). [hyper(426,a,2206,a)]. given #2128 (H,wt=21): 2205 x \ ((x / y) * K(y,y \ 1)) = 1 / (1 / (x \ (x / y))). [hyper(189,a,1555,a,b,2197,a(flip)),flip(a)]. given #2129 (H,wt=21): 2210 (x / y) * K(y,y \ 1) = x * (1 / (1 / (x \ (x / y)))). [para(2205(a,1),17(a,1,2)),flip(a)]. given #2130 (H,wt=17): 2211 K((x / y) \ x,x \ (x / y)) = K(y,y \ 1). [hyper(20,a,2206,a,b,2210,a),flip(a)]. given #2131 (H,wt=22): 2208 x * (1 / (1 / (x \ y))) != y * z | K(y \ x,x \ y) = z. [para(2206(a,1),22(a,1))]. given #2132 (H,wt=24): 2202 L((((x \ y) \ z) \ 1) \ 1,x \ y,x) = ((y \ (x * z)) \ 1) \ 1. [para(359(a,1),2200(a,2,1,1))]. given #2133 (H,wt=26): 2209 L(x \ (1 / (1 / (y \ (y * x)))),x,y) = K((y * x) \ y,y \ (y * x)). [para(2207(a,1),343(a,1,1,2))]. given #2134 (H,wt=22): 2213 L(x \ (1 / (1 / x)),x,y) = K((y * x) \ y,y \ (y * x)). [para(16(a,1),2209(a,1,1,2,2,2))]. given #2135 (H,wt=20): 2214 L(K(x \ 1,x),x,y) = K((y * x) \ y,y \ (y * x)). [para(477(a,1),2213(a,1,1))]. given #2136 (H,wt=26): 2212 L(T((x \ y) \ z,z \ (x \ y)),x \ y,x) = ((y \ (x * z)) \ 1) \ 1. [para(1986(a,2),2202(a,1,1))]. given #2137 (H,wt=21): 2215 T(x \ (y * z),z \ (y \ x)) = ((x \ (y * z)) \ 1) \ 1. [hyper(189,a,582,a(flip),b,2212,a(flip)),flip(a)]. given #2138 (H,wt=28): 2198 K(L(x \ 1,x,y) \ 1,L(x \ 1,x,y)) = ((y * x) \ y) \ L(1 / x,x,y). [para(2192(a,1),574(a,2,2))]. given #2139 (H,wt=32): 2216 T(a(x,y,z),z \ ((x * y) \ (x * (y * z)))) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(27(a,2),2215(a,1,1))]. given #2140 (H,wt=27): 2217 T(a(x,y,z),z \ L(z,y,x)) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(31(a,2),2216(a,1,2,2))]. given #2141 (H,wt=20): 2218 T(a(x,y,z),z \ L(z,y,x)) = (a(x,y,z) \ 1) \ 1. [para(27(a,2),2217(a,2,1,1))]. given #2142 (H,wt=42): 1725 (((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(33(a,2),1724(a,1,1)),flip(a)]. given #2143 (H,wt=37): 2219 (((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(33(a,2),1725(a,2,2,1,1))]. given #2144 (H,wt=33): 2220 (((x * y) * R((x * y) \ y,z,u)) * w) / (y * w) = R(x,y,w) * R(R(x,y,w) \ 1,z,u). [para(1634(a,1),2219(a,1,1))]. given #2145 (H,wt=31): 2221 (((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),2220(a,1,1,1))]. given #2146 (H,wt=26): 2222 R(x,y,z) * R(R(x,y,z) \ 1,u,w) = R(x * R(x \ 1,u,w),y,z). [hyper(385,a,2221,a),flip(a)]. given #2147 (H,wt=29): 2223 R(x,y,z) * R(R(x,y,z) \ 1,u,w) != v5 | R(x * R(x \ 1,u,w),y,z) = v5. [para(2221(a,1),385(a,1))]. given #2148 (H,wt=32): 2224 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(189,a,872,a(flip),b,2222,a(flip))]. given #2149 (H,wt=29): 2225 ((x \ 1) / (x \ R(x,y,z))) * R(x,y,z) = R(x * T(x \ 1,R(x,y,z)),y,z). [para(1662(a,1),2224(a,1,1,2)),flip(a)]. given #2150 (H,wt=27): 2226 ((x \ 1) / (x \ R(x,y,z))) * R(x,y,z) = K(R(x,y,z) \ 1,R(x,y,z)). [hyper(189,a,2014,a(flip),b,2225,a)]. given #2151 (H,wt=17): 2227 (x \ 1) / (x \ R(x,y,z)) = R(x,y,z) \ 1. [hyper(21,a,165,a(flip),b,2226,a)]. given #2152 (H,wt=42): 1967 x \ ((x / T(y \ 1,y * y)) * ((((y \ 1) \ y) \ y) * z)) = L(z,((y \ 1) \ y) \ y,x / T(y \ 1,(y \ 1) \ y)). [para(489(a,1),536(a,1,2,1,2,2))]. given #2153 (H,wt=44): 901 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(868(a,1),896(a,2,2))]. given #2154 (H,wt=44): 1241 (((x * y) * z) * L(((x * y) * z) \ (y * z),u,w)) / (R(x,y,z) \ ((x * y) * z)) = R(x,y,z) * L(R(x,y,z) \ 1,u,w). [para(133(a,1),1240(a,1,1,2,1,2))]. given #2155 (H,wt=44): 1945 K(x,y) * (z * T(z \ L((y \ 1) \ z,y \ 1,y * K(x,y)),u)) = ((y * K(x,y)) * ((y \ 1) * T((y \ 1) \ 1,u))) * z. [para(1943(a,1),1858(a,1,1))]. given #2156 (H,wt=38): 2229 K(x,y) * (z * T(z \ L((y \ 1) \ z,y \ 1,y * K(x,y)),u)) = ((y * K(x,y)) * (y \ T(y,u))) * z. [para(770(a,1),1945(a,2,1,2))]. given #2157 (H,wt=44): 2228 ((x * y) * (z * L(z \ ((x * y) \ (y * z)),u,w))) / (R(x,y,z) \ ((x * y) * z)) = R(x,y,z) * L(R(x,y,z) \ 1,u,w). [para(811(a,1),1241(a,1,1))]. given #2158 (H,wt=40): 2230 (((x * y) * L((x * y) \ y,z,u)) * w) / (R(x,y,w) \ ((x * y) * w)) = R(x,y,w) * L(R(x,y,w) \ 1,z,u). [para(1334(a,1),2228(a,1,1))]. given #2159 (H,wt=38): 2231 (((x * L(x \ 1,y,z)) * u) * w) / (R(x,u,w) \ ((x * u) * w)) = R(x,u,w) * L(R(x,u,w) \ 1,y,z). [para(1337(a,1),2230(a,1,1,1))]. given #2160 (H,wt=31): 2232 (((x * L(x \ 1,y,z)) * u) * w) / (u * w) = R(x,u,w) * L(R(x,u,w) \ 1,y,z). [para(133(a,1),2231(a,1,2))]. given #2161 (H,wt=26): 2233 R(x,y,z) * L(R(x,y,z) \ 1,u,w) = R(x * L(x \ 1,u,w),y,z). [hyper(385,a,2232,a),flip(a)]. given #2162 (H,wt=27): 2235 R(x,y,z) * L(R(x,y,z) \ 1,x,1 / x) = R(x * T(1 / x,1),y,z). [para(579(a,1),2233(a,2,1,2))]. given #2163 (H,wt=26): 2237 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(x * T(1 / x,1),y,z). [para(929(a,1),2235(a,1,2))]. given #2164 (H,wt=24): 2238 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(x * (1 / x),y,z). [para(188(a,1),2237(a,2,1,2))]. given #2165 (H,wt=24): 2239 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(K(x,x \ 1),y,z). [para(1535(a,2),2238(a,2,1))]. given #2166 (H,wt=34): 2236 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(880(a,1),2233(a,1,2))]. given #2167 (H,wt=32): 2240 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(15(a,1),2236(a,1,2,2)),flip(a)]. given #2168 (H,wt=45): 1207 (1 / x) * ((((y * x) \ y) \ (((y * x) \ y) * x)) * ((y * x) \ y)) = ((1 / x) * T((1 / x) \ 1,(y * x) \ y)) * ((y * x) \ y). [para(1206(a,1),1156(a,2,2,1,2)),flip(a)]. given #2169 (H,wt=39): 2241 (1 / x) * ((((y * x) \ y) \ (((y * x) \ y) * x)) * ((y * x) \ y)) = (T(x,(y * x) \ y) / x) * ((y * x) \ y). [para(792(a,1),1207(a,2,1))]. given #2170 (H,wt=27): 2242 (T(x,(y * x) \ y) / x) * ((y * x) \ y) = (1 / x) * (x * ((y * x) \ y)). [para(16(a,1),2241(a,1,2,1)),flip(a)]. given #2171 (H,wt=22): 2243 (T(x,(y * x) \ y) / x) * ((y * x) \ y) = L(1 / x,x,y). [hyper(189,a,710,a(flip),b,2242,a)]. given #2172 (H,wt=20): 2244 K(x,(y * x) \ y) * ((y * x) \ y) = L(1 / x,x,y). [para(1720(a,1),2243(a,1,1))]. given #2173 (H,wt=18): 2245 K(x,x \ 1) * ((y * x) \ y) = L(1 / x,x,y). [para(1990(a,1),2244(a,1,1))]. given #2174 (H,wt=24): 2246 ((x * y) \ x) * T(K(y,y \ 1),(x * y) \ x) = L(1 / y,y,x). [hyper(206,a,2245,a)]. given #2175 (H,wt=18): 2248 ((x * y) \ x) * K(y,y \ 1) = L(1 / y,y,x). [para(1152(a,1),2246(a,1,2))]. given #2176 (H,wt=18): 2249 ((x * y) \ x) \ L(1 / y,y,x) = K(y,y \ 1). [hyper(80,a,2248,a)]. given #2177 (H,wt=21): 2251 K(L(x \ 1,x,y) \ 1,L(x \ 1,x,y)) = K(x,x \ 1). [hyper(189,a,2198,a,b,2249,a(flip)),flip(a)]. given #2178 (H,wt=20): 2253 x * T(y,L(y \ 1,y,x)) = (x * y) * K(y,y \ 1). [para(2251(a,1),1098(a,1,2)),flip(a)]. given #2179 (H,wt=17): 2254 (x * y) * K(y,y \ 1) = x * ((y \ 1) \ 1). [para(1987(a,1),2253(a,1,2)),flip(a)]. given #2180 (H,wt=17): 2255 (x * y) * K(y,y \ 1) = x * T(y,y \ 1). [para(1989(a,1),2253(a,1,2)),flip(a)]. given #2181 (H,wt=17): 2257 (x / y) * ((y \ 1) \ 1) = x * K(y,y \ 1). [hyper(252,a,2254,a),flip(a)]. given #2182 (H,wt=17): 2258 (x * K(y,y \ 1)) * y = x * ((y \ 1) \ 1). [hyper(189,a,1562,a,b,2254,a(flip)),flip(a)]. given #2183 (H,wt=17): 2261 (x * K(y,y \ 1)) * y = x * T(y,y \ 1). [hyper(189,a,1562,a,b,2255,a(flip)),flip(a)]. given #2184 (H,wt=17): 2262 (x / T(y,y \ 1)) * K(y,y \ 1) = x / y. [hyper(76,a,258,a(flip),b,2258,a),flip(a)]. given #2185 (H,wt=17): 2263 (x * (y \ 1)) * K(y,y \ 1) = x * (1 / y). [hyper(21,a,491,a(flip),b,2258,a)]. given #2186 (H,wt=14): 2268 (x * y) * (y \ 1) = R(x,y,1 / y). [hyper(21,a,1547,a,b,2263,a)]. given #2187 (H,wt=13): 2270 R(x,y,1 / y) = R(x,y,y \ 1). [hyper(387,a,2268,a),flip(a)]. given #2188 (H,wt=17): 2267 (x / (y \ 1)) * (1 / y) = x * K(y,y \ 1). [hyper(252,a,2263,a),flip(a)]. given #2189 (H,wt=18): 2271 (x * (y \ 1)) * ((y \ 1) \ 1) = R(x,y \ 1,y). [para(67(a,1),2268(a,2,3))]. given #2190 (H,wt=14): 2272 (x * (1 / y)) * y = R(x,y \ 1,y). [hyper(189,a,491,a(flip),b,2271,a(flip)),flip(a)]. given #2191 (H,wt=13): 2275 R(x,1 / y,y) = R(x,y \ 1,y). [hyper(591,a,2272,a)]. given #2192 (H,wt=14): 2273 R(x,y \ 1,y) / y = x * (1 / y). [hyper(76,a,2271,a(flip),b,491,a(flip))]. given #2193 (H,wt=14): 2276 R(x / (1 / y),y \ 1,y) = x * y. [hyper(252,a,2272,a),flip(a)]. given #2194 (H,wt=18): 2277 ((1 / x) * K(y,x)) * x = R(K(y,x),x \ 1,x). [para(1821(a,1),2272(a,1,1))]. given #2195 (H,wt=19): 2266 (x * K(y,y \ 1)) * y = x * (K(y,y \ 1) * y). [para(1540(a,2),2258(a,2,2))]. given #2196 (H,wt=10): 2279 R(x,K(y,y \ 1),y) = x. [hyper(376,a,2266,a)]. given #2197 (H,wt=10): 2280 L(x,K(x,x \ 1),y) = x. [hyper(346,a,2266,a)]. given #2198 (H,wt=12): 2281 R(x,K(y \ 1,y),1 / y) = x. [para(1835(a,1),2279(a,1,2))]. given #2199 (H,wt=14): 2282 L(1 / x,K(x \ 1,x),y) = 1 / x. [para(1835(a,1),2280(a,1,2))]. given #2200 (H,wt=17): 2284 (x * K(y \ 1,y)) * (1 / y) = x * (y \ 1). [para(2281(a,1),1831(a,1,1)),flip(a)]. given #2201 (H,wt=17): 2286 (x / (y \ 1)) * K(y \ 1,y) = x / (1 / y). [hyper(76,a,19,a(flip),b,2284,a),flip(a)]. given #2202 (H,wt=16): 2289 1 / (1 / x) != y | x * K(x \ 1,x) = y. [para(2286(a,1),456(a,1))]. given #2203 (H,wt=18): 2283 L(1 / (1 / x),K(x,x \ 1),y) = 1 / (1 / x). [para(2280(a,1),2189(a,2,2,2))]. given #2204 (H,wt=17): 2290 (x * K(y,y \ 1)) \ (x * y) = 1 / (1 / y). [hyper(189,a,1611,a(flip),b,2283,a(flip)),flip(a)]. given #2205 (H,wt=17): 2292 (x / y) * K(y,y \ 1) = x / (1 / (1 / y)). [para(2290(a,1),234(a,1,2)),flip(a)]. given #2206 (H,wt=19): 2293 x * (1 / (1 / (x \ (x / y)))) = x / (1 / (1 / y)). [hyper(189,a,2210,a(flip),b,2292,a(flip)),flip(a)]. given #2207 (H,wt=19): 2294 1 / (1 / (x \ (x / y))) = x \ (x / (1 / (1 / y))). [hyper(75,a,2292,a(flip),b,2210,a(flip)),flip(a)]. given #2208 (H,wt=19): 2295 x / (1 / (1 / (y \ x))) = x * (1 / (1 / (x \ y))). [para(67(a,1),2293(a,1,2,2,2,2)),flip(a)]. given #2209 (H,wt=19): 2296 (x \ (x / (1 / (1 / y)))) \ 1 = 1 / (x \ (x / y)). [para(2294(a,1),69(a,1,1))]. given #2210 (H,wt=19): 2297 x / (1 / (1 / ((x * y) \ x))) = x * (1 / (1 / y)). [para(16(a,1),2295(a,2,2,2,2))]. given #2211 (H,wt=18): 2300 x / L(y,y \ 1,x) = x * (1 / (1 / (y \ 1))). [para(2199(a,2),2297(a,1,2))]. given #2212 (H,wt=14): 2301 x / L(y,y \ 1,x) = x * (1 / y). [para(67(a,1),2300(a,2,2,2))]. given #2213 (H,wt=14): 2302 L(x,x \ 1,y) = (y * (1 / x)) \ y. [para(2301(a,1),69(a,1,1)),flip(a)]. given #2214 (H,wt=13): 2304 L(x,1 / x,y) = L(x,x \ 1,y). [hyper(189,a,284,a,b,2302,a),flip(a)]. given #2215 (H,wt=17): 2305 L(x \ 1,(x \ 1) \ 1,y) = L(x \ 1,x,y). [para(67(a,1),2304(a,1,2)),flip(a)]. given #2216 (H,wt=17): 2306 L(x \ 1,T(x,x \ 1),y) = L(x \ 1,x,y). [para(114(a,2),2305(a,1,2))]. given #2217 (H,wt=18): 2303 K(x \ (x / L(y,y \ 1,x)),z) = K(1 / y,z). [para(2301(a,2),1215(a,1,1,2))]. given #2218 (H,wt=18): 2308 L(x * T(x \ 1,y),x \ 1,y) = K(1 / x,y). [hyper(189,a,1973,a,b,2303,a(flip)),flip(a)]. given #2219 (H,wt=19): 2298 1 / (x \ (x / (y \ 1))) = (x \ (x / (1 / y))) \ 1. [para(67(a,1),2296(a,1,1,2,2,2)),flip(a)]. given #2220 (H,wt=19): 2299 1 / (x \ (x / ((y \ 1) \ 1))) = (x \ (x / y)) \ 1. [para(130(a,1),2296(a,1,1,2,2)),flip(a)]. given #2221 (H,wt=19): 2310 ((x \ (x / y)) \ 1) \ 1 = x \ (x / ((y \ 1) \ 1)). [para(2299(a,1),69(a,1,1))]. given #2222 (H,wt=17): 2311 T(x \ (x / y),y) = x \ (x / ((y \ 1) \ 1)). [hyper(189,a,1996,a,b,2310,a(flip)),flip(a)]. given #2223 (H,wt=17): 2312 x * T(x \ (x / y),y) = x / ((y \ 1) \ 1). [para(2311(a,2),17(a,1,2))]. given #2224 (H,wt=17): 2313 (x / y) * K(y \ 1,y) = x / ((y \ 1) \ 1). [hyper(189,a,842,a,b,2312,a(flip)),flip(a)]. given #2225 (H,wt=16): 2315 (1 / x) * K(x \ 1,x) != y | x \ 1 = y. [para(2313(a,2),246(a,1)),flip(b)]. given #2226 (H,wt=17): 2314 (x * y) / ((y \ 1) \ 1) = x * K(y \ 1,y). [para(18(a,1),2313(a,1,1)),flip(a)]. given #2227 (H,wt=17): 2316 (x / ((y \ 1) \ 1)) * y = x * K(y \ 1,y). [para(2313(a,1),1197(a,1,1))]. given #2228 (H,wt=17): 2317 (x * K(y \ 1,y)) * ((y \ 1) \ 1) = x * y. [para(2314(a,1),19(a,1,1))]. given #2229 (H,wt=15): 2322 (x * K(y,y \ 1)) * K(y \ 1,y) = x. [hyper(21,a,2258,a(flip),b,2317,a)]. given #2230 (H,wt=15): 2323 (x * K(y \ 1,y)) * K(y,y \ 1) = x. [hyper(21,a,2258,a,b,2317,a(flip)),flip(a)]. given #2231 (H,wt=15): 2324 x / K(y,y \ 1) = x * K(y \ 1,y). [hyper(252,a,2322,a),flip(a)]. given #2232 (H,wt=15): 2326 (x * K(y,y \ 1)) \ x = K(y \ 1,y). [hyper(80,a,2322,a)]. given #2233 (H,wt=17): 2319 (x * ((y \ 1) \ 1)) * K(y \ 1,y) = x * y. [para(18(a,1),2316(a,1,1)),flip(a)]. given #2234 (H,wt=17): 2320 (x * T(y,y \ 1)) * K(y \ 1,y) = x * y. [para(531(a,1),2316(a,1,1)),flip(a)]. given #2235 (H,wt=17): 2327 (x / (1 / y)) * K(y,y \ 1) = x / (y \ 1). [hyper(21,a,2286,a,b,2322,a)]. given #2236 (H,wt=18): 2329 x * K(y \ 1,y) != z | z * K(y,y \ 1) = x. [para(2322(a,1),23(a,1)),flip(a)]. given #2237 (H,wt=18): 2330 (x / (y * x)) * K(y \ 1,y) = R(y \ 1,y,x). [para(1746(a,2),2322(a,1,1))]. given #2238 (H,wt=13): 2340 K(x / (y * x),y) = K(y \ 1,y). [hyper(20,a,1845,a,b,2330,a),flip(a)]. given #2239 (H,wt=17): 2342 K((x / y) \ 1,x / y) = K(y / x,x / y). [para(19(a,1),2340(a,1,1,2)),flip(a)]. given #2240 (H,wt=18): 2331 x * K(y,y \ 1) != z | z * K(y \ 1,y) = x. [para(2323(a,1),23(a,1)),flip(a)]. given #2241 (H,wt=18): 2333 (x * K(y,y \ 1)) * K(y \ 1,y) != z | z = x. [para(2324(a,1),248(a,1))]. given #2242 (H,wt=19): 2325 (x / y) * y = (x * K(z,z \ 1)) * K(z \ 1,z). [hyper(189,a,19,a,b,2322,a),flip(a)]. given #2243 (H,wt=19): 2332 (x * y) * K(x \ 1,x) = x * (y / K(x,x \ 1)). [hyper(189,a,2040,a(flip),b,2324,a(flip))]. given #2244 (H,wt=19): 2335 (x * ((y \ 1) \ 1)) * (y \ 1) = (x * y) * (1 / y). [para(2319(a,1),2284(a,1,1)),flip(a)]. given #2245 (H,wt=19): 2338 (x * T(y,y \ 1)) * (y \ 1) = (x * y) * (1 / y). [para(2320(a,1),2284(a,1,1)),flip(a)]. given #2246 (H,wt=19): 2341 K(x / (y * x),(x / (y * x)) \ 1) = K(y \ 1,y). [hyper(2134,a,2340,a)]. given #2247 (H,wt=19): 2349 (x * y) * K(x \ 1,x) = x * (y * K(x \ 1,x)). [para(2324(a,1),2332(a,2,2))]. given #2248 (H,wt=10): 2353 R(x,y,K(x \ 1,x)) = x. [hyper(376,a,2349,a)]. given #2249 (H,wt=20): 2264 x * ((y \ 1) \ 1) != z * y | x * K(y,y \ 1) = z. [para(2258(a,1),23(a,1))]. given #2250 (H,wt=20): 2265 (x * K(y,y \ 1)) * y != z * ((y \ 1) \ 1) | z = x. [para(2258(a,2),23(a,2)),flip(a)]. given #2251 (H,wt=20): 2274 R(x,y \ 1,y) != z | R(x,y \ 1,(y \ 1) \ 1) = z. [para(2271(a,1),387(a,1))]. given #2252 (H,wt=17): 2355 R(x,y \ 1,(y \ 1) \ 1) = R(x,1 / y,y). [hyper(2274,a,2275,a(flip))]. given #2253 (H,wt=20): 2287 R(x * K(y \ 1,y),y \ 1,y) = (x * (y \ 1)) * y. [para(2284(a,1),2272(a,1,1)),flip(a)]. given #2254 (H,wt=20): 2288 x / (1 / y) != z * K(y \ 1,y) | x / (y \ 1) = z. [para(2286(a,1),23(a,1))]. given #2255 (H,wt=20): 2334 x * K(y \ 1,y) != z * y | z * ((y \ 1) \ 1) = x. [para(2319(a,1),23(a,1)),flip(a)]. given #2256 (H,wt=20): 2336 x * K(y \ 1,y) != z * y | z * T(y,y \ 1) = x. [para(2320(a,1),23(a,1)),flip(a)]. given #2257 (H,wt=20): 2339 (R(x,y,y \ 1) / (1 / y)) * K(y,y \ 1) = x * y. [hyper(189,a,373,a(flip),b,2327,a)]. given #2258 (H,wt=20): 2346 (x * T(y,y \ 1)) * K(y \ 1,y) != z | x * y = z. [para(2255(a,1),2333(a,1,1)),flip(b)]. given #2259 (H,wt=20): 2347 (x / (y \ 1)) * K(y \ 1,y) != z | x / (1 / y) = z. [para(2327(a,1),2333(a,1,1)),flip(b)]. given #2260 (H,wt=21): 2343 K(x \ 1,x) * (y / (x * y)) != z | R(x \ 1,x,y) = z. [para(2340(a,1),1780(a,1,1))]. given #2261 (H,wt=21): 2345 K((x / (y * x)) \ 1,x / (y * x)) = K(y,x / (y * x)). [para(18(a,1),2342(a,2,1))]. given #2262 (H,wt=19): 2359 K((x / (y * x)) \ 1,x / (y * x)) = K(y,y \ 1). [hyper(189,a,2129,a(flip),b,2345,a)]. given #2263 (H,wt=17): 2361 K((x * y) / y,y / (x * y)) = K(x,x \ 1). [hyper(189,a,2342,a(flip),b,2359,a(flip)),flip(a)]. given #2264 (H,wt=17): 2362 K(x,x \ 1) * (x * y) = T(x,x \ 1) * y. [para(2359(a,1),1756(a,1,1))]. given #2265 (H,wt=10): 2366 L(x,y,K(y,y \ 1)) = x. [hyper(1556,a,2362,a(flip))]. given #2266 (H,wt=12): 2371 L(x,K(y \ 1,y),1 / y) = x. [hyper(189,a,1837,a(flip),b,2366,a(flip)),flip(a)]. given #2267 (H,wt=12): 2372 L(x,1 / y,K(y \ 1,y)) = x. [para(1835(a,1),2366(a,1,3))]. given #2268 (H,wt=14): 2374 (1 / x) * (x * y) = L(y,x,x \ 1). [hyper(189,a,1930,a(flip),b,2371,a(flip)),flip(a)]. given #2269 (H,wt=13): 2380 L(x,y,1 / y) = L(x,y,y \ 1). [hyper(358,a,2374,a)]. given #2270 (H,wt=14): 2375 L(x,y,y \ 1) / (y * x) = 1 / y. [hyper(76,a,2371,a(flip),b,1930,a(flip))]. given #2271 (H,wt=14): 2377 L(x,1 / (1 / y),K(y,y \ 1)) = x. [para(1536(a,1),2372(a,1,3))]. given #2272 (H,wt=14): 2379 L(x \ y,x,x \ 1) = (1 / x) * y. [para(2372(a,1),1847(a,1,1,2))]. given #2273 (H,wt=15): 2393 T(x,(1 / x) * y) = T(x,(x \ 1) * y). [para(2379(a,1),2056(a,1,2))]. given #2274 (H,wt=16): 2384 L(T(x,y),y,y \ 1) = (1 / y) * (x * y). [para(113(a,1),2374(a,1,2)),flip(a)]. given #2275 (H,wt=17): 2364 T(x,x \ 1) * (x \ y) = K(x,x \ 1) * y. [hyper(254,a,2362,a),flip(a)]. given #2276 (H,wt=17): 2365 K(x,x \ 1) * (x * y) = ((x \ 1) \ 1) * y. [hyper(189,a,219,a(flip),b,2362,a)]. given #2277 (H,wt=17): 2367 x * (K(x,x \ 1) * y) = T(x,x \ 1) * y. [hyper(189,a,1575,a(flip),b,2362,a(flip)),flip(a)]. given #2278 (H,wt=17): 2368 (T(x,x \ 1) * y) / (K(x,x \ 1) * y) = x. [hyper(76,a,2362,a(flip),b,1575,a(flip))]. given #2279 (H,wt=10): 2399 R(x,K(x,x \ 1),y) = x. [hyper(1764,a,2368,a)]. given #2280 (H,wt=14): 2400 R(1 / x,K(x \ 1,x),y) = 1 / x. [para(1835(a,1),2399(a,1,2))]. given #2281 (H,wt=17): 2376 K(x \ 1,x) * ((x \ 1) \ y) = (1 / x) \ y. [hyper(189,a,1848,a(flip),b,2372,a(flip)),flip(a)]. given #2282 (H,wt=17): 2378 K(x \ 1,x) * ((1 / x) * y) = (x \ 1) * y. [para(2372(a,1),1830(a,1,2)),flip(a)]. given #2283 (H,wt=17): 2390 (1 / x) * (x * y) != z | L(y,x,x \ 1) = z. [para(2375(a,1),200(a,1,1)),flip(b)]. given #2284 (H,wt=17): 2391 K(x,x \ 1) * ((1 / (1 / x)) * y) = x * y. [para(2377(a,1),1612(a,1,2)),flip(a)]. given #2285 (H,wt=17): 2396 ((x \ 1) \ 1) * (x \ y) = K(x,x \ 1) * y. [hyper(551,a,2364,a)]. given #2286 (H,wt=17): 2398 x * (K(x,x \ 1) * y) = ((x \ 1) \ 1) * y. [hyper(189,a,1575,a(flip),b,2365,a(flip)),flip(a)]. given #2287 (H,wt=17): 2403 (1 / x) \ ((x \ 1) * y) = K(x \ 1,x) * y. [para(16(a,1),2376(a,1,2)),flip(a)]. given #2288 (H,wt=17): 2405 (x \ 1) * ((1 / x) \ y) = K(x \ 1,x) * y. [para(2376(a,1),1630(a,1,2))]. given #2289 (H,wt=17): 2411 (1 / (1 / x)) * (K(x,x \ 1) * y) = x * y. [hyper(1577,a,2391,a),flip(a)]. given #2290 (H,wt=17): 2412 x * ((1 / (1 / x)) \ y) = K(x,x \ 1) * y. [hyper(254,a,2391,a),flip(a)]. given #2291 (H,wt=17): 2415 K(x,x \ 1) * (((x \ 1) \ 1) \ y) = x \ y. [hyper(75,a,17,a(flip),b,2398,a),flip(a)]. given #2292 (H,wt=17): 2416 K(x,x \ 1) * (y * (x \ 1)) = y * (1 / x). [hyper(20,a,1895,a(flip),b,2398,a)]. given #2293 (H,wt=17): 2417 (1 / x) * (K(x \ 1,x) * y) = (x \ 1) * y. [para(2403(a,1),17(a,1,2))]. given #2294 (H,wt=17): 2420 K(x,x \ 1) * ((x \ 1) * y) = (1 / x) * y. [hyper(746,a,2411,a),flip(a)]. given #2295 (H,wt=17): 2421 K(x,x \ 1) * (x \ y) = (1 / (1 / x)) \ y. [hyper(75,a,17,a(flip),b,2411,a),flip(a)]. given #2296 (H,wt=17): 2426 (1 / x) \ (K(x,x \ 1) * y) = (x \ 1) \ y. [hyper(432,a,2420,a)]. given #2297 (H,wt=17): 2427 (1 / x) * ((x \ 1) \ y) = K(x,x \ 1) * y. [hyper(254,a,2420,a),flip(a)]. given #2298 (H,wt=17): 2428 K(x,x \ 1) \ ((1 / x) * y) = (x \ 1) * y. [hyper(80,a,2420,a)]. given #2299 (H,wt=17): 2433 K(x,x \ 1) * ((1 / x) \ y) = (x \ 1) \ y. [hyper(189,a,1087,a(flip),b,2427,a(flip))]. given #2300 (H,wt=17): 2434 (1 / x) \ ((x \ 1) * (K(x,x \ 1) * y)) = y. [hyper(20,a,16,a(flip),b,2433,a)]. given #2301 (H,wt=15): 2437 K(x \ 1,x) * (K(x,x \ 1) * y) = y. [hyper(189,a,2403,a(flip),b,2434,a(flip)),flip(a)]. given #2302 (H,wt=15): 2438 K(x \ 1,x) \ y = K(x,x \ 1) * y. [hyper(75,a,2434,a(flip),b,2403,a(flip))]. given #2303 (H,wt=15): 2439 K(x,x \ 1) * (K(x \ 1,x) * y) = y. [hyper(20,a,2403,a(flip),b,2434,a(flip)),flip(a)]. given #2304 (H,wt=17): 2440 (x \ 1) * (K(x,x \ 1) * y) = (1 / x) * y. [para(2434(a,1),17(a,1,2)),flip(a)]. given #2305 (H,wt=17): 2442 K(x \ 1,x) * (T(x,x \ 1) * y) = x * y. [para(2362(a,1),2437(a,1,2))]. given #2306 (H,wt=17): 2443 K(x \ 1,x) * (((x \ 1) \ 1) * y) = x * y. [para(2365(a,1),2437(a,1,2))]. given #2307 (H,wt=17): 2444 K(x \ 1,x) * (x * y) = (1 / (1 / x)) * y. [para(2391(a,1),2437(a,1,2))]. given #2308 (H,wt=17): 2445 K(x \ 1,x) * (x \ y) = ((x \ 1) \ 1) \ y. [para(2415(a,1),2437(a,1,2))]. given #2309 (H,wt=17): 2446 K(x \ 1,x) * (y * (1 / x)) = y * (x \ 1). [para(2416(a,1),2437(a,1,2))]. given #2310 (H,wt=17): 2447 K(x \ 1,x) * ((1 / (1 / x)) \ y) = x \ y. [para(2421(a,1),2437(a,1,2))]. given #2311 (H,wt=17): 2448 K(x \ 1,x) \ (x * y) = ((x \ 1) \ 1) * y. [hyper(189,a,2365,a(flip),b,2438,a)]. given #2312 (H,wt=17): 2452 x \ (K(x \ 1,x) * y) = ((x \ 1) \ 1) \ y. [hyper(75,a,2439,a(flip),b,2396,a),flip(a)]. given #2313 (H,wt=17): 2453 x \ (K(x \ 1,x) * y) = T(x,x \ 1) \ y. [hyper(75,a,2439,a(flip),b,2364,a),flip(a)]. given #2314 (H,wt=17): 2454 T(x,x \ 1) * (K(x \ 1,x) * y) = x * y. [para(2439(a,1),2367(a,1,2)),flip(a)]. given #2315 (H,wt=17): 2455 ((x \ 1) \ 1) * (K(x \ 1,x) * y) = x * y. [para(2439(a,1),2398(a,1,2)),flip(a)]. given #2316 (H,wt=17): 2460 (1 / (1 / x)) * (x \ y) = K(x \ 1,x) * y. [hyper(254,a,2444,a),flip(a)]. given #2317 (H,wt=17): 2461 ((1 / (1 / x)) * y) / (K(x \ 1,x) * y) = x. [hyper(76,a,2444,a(flip),b,1191,a(flip))]. given #2318 (H,wt=10): 2467 R(x,K(x \ 1,x),y) = x. [hyper(649,a,2461,a)]. given #2319 (H,wt=17): 2462 T(x \ (y \ x),y) = x \ (((y \ 1) \ 1) \ x). [hyper(75,a,2445,a(flip),b,910,a(flip)),flip(a)]. given #2320 (H,wt=18): 2382 x * ((1 / x) * (y * x)) = L(y,x,x \ 1) * x. [hyper(20,a,864,a(flip),b,2374,a)]. given #2321 (H,wt=18): 2441 K(x \ 1,x) * y != z | K(x,x \ 1) * z = y. [para(2437(a,1),22(a,1)),flip(a)]. given #2322 (H,wt=18): 2449 K(x \ 1,x) * (K(x,x \ 1) * y) != z | z = y. [para(2438(a,1),203(a,1,2))]. given #2323 (H,wt=19): 2394 T(x \ 1,((x \ 1) \ 1) * y) = T(x \ 1,x * y). [para(67(a,1),2393(a,1,2,1)),flip(a)]. given #2324 (H,wt=19): 2410 (1 / x) * (y * x) != z | L(T(y,x),x,x \ 1) = z. [para(113(a,1),2390(a,1,2))]. given #2325 (H,wt=19): 2435 ((x \ 1) \ 1) \ ((x \ 1) \ y) = x \ ((1 / x) \ y). [hyper(75,a,2433,a(flip),b,2396,a)]. given #2326 (H,wt=19): 2463 K(x \ 1,x) * (1 / T(x,y)) = x \ (x / T(x,y)). [para(2119(a,1),2447(a,1,2))]. given #2327 (H,wt=13): 2473 T(K(x \ 1,x),y) = K(x \ 1,x). [hyper(21,a,1454,a,b,2463,a),flip(a)]. given #2328 (H,wt=13): 2476 T((x \ 1) * x,y) = K(x \ 1,x). [para(165(a,1),2473(a,1,1))]. given #2329 (H,wt=15): 2475 K(x \ 1,x) * y = y * K(x \ 1,x). [para(2473(a,1),113(a,1,2)),flip(a)]. given #2330 (H,wt=15): 2479 (K(x,x \ 1) * y) * K(x \ 1,x) = y. [hyper(2449,a,2475,a)]. given #2331 (H,wt=15): 2480 K(x,x \ 1) * (y * K(x \ 1,x)) = y. [hyper(2441,a,2475,a)]. given #2332 (H,wt=15): 2481 K(x \ 1,x) * (y * K(x,x \ 1)) = y. [hyper(189,a,2322,a(flip),b,2475,a)]. given #2333 (H,wt=15): 2486 (K(x \ 1,x) * y) * K(x,x \ 1) = y. [hyper(20,a,2322,a(flip),b,2475,a)]. given #2334 (H,wt=15): 2502 K(x,x \ 1) * y = y * K(x,x \ 1). [hyper(2329,a,2479,a),flip(a)]. given #2335 (H,wt=9): 2513 T(x,K(y,y \ 1)) = x. [hyper(149,a,2502,a)]. given #2336 (H,wt=11): 2521 T(x,K(y \ z,z \ y)) = x. [para(1992(a,1),2513(a,1,2))]. given #2337 (H,wt=13): 2514 T(K(x,x \ 1),y) = K(x,x \ 1). [hyper(147,a,2502,a,b,xx)]. given #2338 (H,wt=15): 2525 T(x,T(x,y) \ 1) = x * K(x,x \ 1). [para(2514(a,1),1808(a,1,2)),flip(a)]. given #2339 (H,wt=13): 2527 T(x,T(x,y) \ 1) = (x \ 1) \ 1. [hyper(189,a,1761,a(flip),b,2525,a)]. given #2340 (H,wt=13): 2528 T(x,T(x,y) \ 1) = T(x,x \ 1). [hyper(189,a,1754,a(flip),b,2525,a)]. given #2341 (H,wt=17): 2482 K(x \ 1,x) * (y * T(x,x \ 1)) = y * x. [hyper(189,a,2320,a(flip),b,2475,a)]. given #2342 (H,wt=17): 2483 K(x \ 1,x) * (y / x) = y / ((x \ 1) \ 1). [hyper(189,a,2313,a(flip),b,2475,a)]. given #2343 (H,wt=17): 2484 K(x \ 1,x) * (y / (x \ 1)) = y / (1 / x). [hyper(189,a,2286,a(flip),b,2475,a)]. given #2344 (H,wt=17): 2487 (x \ 1) * ((1 / x) \ y) = y * K(x \ 1,x). [hyper(189,a,2405,a,b,2475,a(flip)),flip(a)]. given #2345 (H,wt=17): 2488 (x * y) * K(x \ 1,x) = (1 / (1 / x)) * y. [hyper(189,a,2444,a(flip),b,2475,a(flip))]. given #2346 (H,wt=17): 2489 ((1 / x) * y) * K(x \ 1,x) = (x \ 1) * y. [hyper(189,a,2378,a(flip),b,2475,a(flip))]. given #2347 (H,wt=17): 2490 ((x \ 1) \ y) * K(x \ 1,x) = (1 / x) \ y. [hyper(189,a,2376,a(flip),b,2475,a(flip))]. given #2348 (H,wt=17): 2496 (1 / x) * (y * K(x \ 1,x)) = (x \ 1) * y. [para(2475(a,1),2417(a,1,2))]. given #2349 (H,wt=17): 2497 x \ (y * K(x \ 1,x)) = T(x,x \ 1) \ y. [para(2475(a,1),2453(a,1,2))]. given #2350 (H,wt=17): 2498 ((x \ 1) \ 1) * (y * K(x \ 1,x)) = x * y. [para(2475(a,1),2455(a,1,2))]. given #2351 (H,wt=17): 2500 K(x,x \ 1) * (y * x) = y * T(x,x \ 1). [hyper(2336,a,2479,a),flip(a)]. given #2352 (H,wt=17): 2501 K(x,x \ 1) * (y * x) = y * ((x \ 1) \ 1). [hyper(2334,a,2479,a),flip(a)]. given #2353 (H,wt=17): 2505 (K(x,x \ 1) * y) * x = y * ((x \ 1) \ 1). [para(2479(a,1),2317(a,1,1)),flip(a)]. given #2354 (H,wt=17): 2507 ((x \ 1) * y) * K(x,x \ 1) = (1 / x) * y. [hyper(20,a,2378,a,b,2481,a)]. given #2355 (H,wt=17): 2508 ((1 / x) \ y) * K(x,x \ 1) = (x \ 1) \ y. [hyper(20,a,2376,a,b,2481,a)]. given #2356 (H,wt=17): 2510 (x \ 1) * (y * K(x,x \ 1)) = (1 / x) * y. [para(2481(a,1),2417(a,1,2)),flip(a)]. given #2357 (H,wt=17): 2512 (x / y) * ((y \ 1) \ 1) = K(y,y \ 1) * x. [hyper(189,a,2257,a,b,2502,a),flip(a)]. given #2358 (H,wt=17): 2518 (K(x,x \ 1) * y) * x = y * T(x,x \ 1). [para(2502(a,2),2261(a,1,1))]. given #2359 (H,wt=17): 2530 (T(x,y) \ x) / ((x \ 1) \ 1) = T(x,y) \ 1. [para(2527(a,1),992(a,1,2))]. given #2360 (H,wt=17): 2536 ((x \ 1) \ 1) \ (x * y) = y * K(x \ 1,x). [hyper(80,a,2498,a)]. given #2361 (H,wt=17): 2540 (T(x,y) \ 1) * T(x,x \ 1) = T(x,y) \ x. [para(2530(a,1),530(a,1,1))]. given #2362 (H,wt=18): 2477 x * K(y \ 1,y) != z | K(y \ 1,y) * x = z. [para(2473(a,1),205(a,1,2))]. given #2363 (H,wt=18): 2494 K(x \ 1,x) * y != z | z * K(x,x \ 1) = y. [para(2475(a,2),2329(a,1))]. given #2364 (H,wt=18): 2495 K(x \ 1,x) * (y * K(x,x \ 1)) != z | z = y. [para(2475(a,2),2333(a,1))]. given #2365 (H,wt=18): 2499 x * K(y \ 1,y) != z | K(y,y \ 1) * z = x. [para(2475(a,1),2441(a,1))]. given #2366 (H,wt=18): 2506 K(x \ 1,x) * y != z | y * K(x \ 1,x) = z. [para(2480(a,1),2449(a,1,2)),flip(b)]. given #2367 (H,wt=18): 2511 x * K(y,y \ 1) != z | K(y \ 1,y) * z = x. [para(2486(a,1),23(a,1)),flip(a)]. given #2368 (H,wt=18): 2519 T(x * y,K(z,z \ 1)) != y * u | T(x,y) = u. [para(2513(a,2),148(a,2)),flip(a)]. given #2369 (H,wt=18): 2520 K(x,x \ 1) * y != z | y * K(x,x \ 1) = z. [para(2513(a,1),205(a,1,2))]. given #2370 (H,wt=18): 2523 x * K(y,y \ 1) != z | K(y,y \ 1) * x = z. [para(2514(a,1),205(a,1,2))]. given #2371 (H,wt=19): 2469 T(x \ ((1 / y) \ x),1 / y) = x \ ((y \ 1) \ x). [para(69(a,1),2462(a,2,2,1,1))]. given #2372 (H,wt=19): 2485 K(x \ 1,x) * (y / x) = y * T(y \ (y / x),x). [hyper(189,a,842,a(flip),b,2475,a)]. given #2373 (H,wt=19): 2493 T(x * K(y \ 1,y),y) = K(y \ 1,y) * T(x,y). [para(2475(a,1),2050(a,1,1))]. given #2374 (H,wt=19): 2522 K(x \ y,y \ x) * z = z * K(x \ y,y \ x). [hyper(1882,a,2521,a),flip(a)]. given #2375 (H,wt=19): 2531 ((1 / (1 / x)) * y) * (1 / x) = (x * y) * (x \ 1). [para(2488(a,1),2284(a,1,1))]. given #2376 (H,wt=19): 2534 ((1 / x) \ y) * (1 / x) = ((x \ 1) \ y) * (x \ 1). [para(2490(a,1),2284(a,1,1))]. given #2377 (H,wt=19): 2538 (((x \ 1) \ 1) \ y) * ((x \ 1) \ 1) = (x \ y) * x. [para(2415(a,1),2505(a,1,1)),flip(a)]. given #2378 (H,wt=19): 2539 ((1 / (1 / x)) \ y) * x = (x \ y) * ((x \ 1) \ 1). [para(2421(a,1),2505(a,1,1))]. given #2379 (H,wt=19): 2543 1 / (x \ ((y \ 1) \ x)) = (x \ ((1 / y) \ x)) \ 1. [para(2469(a,1),2114(a,1,2))]. given #2380 (H,wt=19): 2546 K(x \ y,y \ x) * x = y * (1 / (1 / (y \ x))). [hyper(189,a,2206,a(flip),b,2522,a)]. given #2381 (H,wt=19): 2550 (x \ ((1 / (1 / y)) \ x)) \ 1 = 1 / (x \ (y \ x)). [para(69(a,1),2543(a,1,2,2,1)),flip(a)]. given #2382 (H,wt=19): 2552 1 / (1 / (x \ (y \ x))) = x \ ((1 / (1 / y)) \ x). [para(2550(a,1),67(a,1,2))]. given #2383 (H,wt=20): 2369 K(x,x \ 1) * (x * y) != z | ((x \ 1) \ 1) * y = z. [para(2362(a,2),551(a,1))]. given #2384 (H,wt=20): 2383 L(L(x \ y,z,u),x,x \ 1) = L((1 / x) * y,z,u). [hyper(189,a,822,a(flip),b,2374,a(flip))]. given #2385 (H,wt=20): 2388 L(T(x,y) \ 1,x,x \ 1) = (1 / x) * (T(x,y) \ x). [para(987(a,1),2374(a,1,2)),flip(a)]. given #2386 (H,wt=20): 2404 (1 / x) \ y != K(x \ 1,x) * z | (x \ 1) \ y = z. [para(2376(a,1),22(a,1))]. given #2387 (H,wt=20): 2407 K(x \ 1,x) * y != (x \ 1) * z | (1 / x) * z = y. [para(2378(a,1),22(a,1)),flip(a)]. given #2388 (H,wt=20): 2418 (1 / x) \ ((x \ 1) * y) != K(x \ 1,x) * z | z = y. [para(2403(a,2),22(a,2)),flip(a)]. given #2389 (H,wt=20): 2422 K(x,x \ 1) * L(y,x \ 1,x) = x * ((1 / x) * y). [para(745(a,1),2412(a,1,2)),flip(a)]. given #2390 (H,wt=13): 2554 L(x,1 / y,y) = L(x,y \ 1,y). [hyper(1548,a,2422,a)]. given #2391 (H,wt=17): 2555 L(x,(y \ 1) \ 1,y \ 1) = L(x,y,y \ 1). [para(67(a,1),2554(a,1,2)),flip(a)]. given #2392 (H,wt=18): 2556 L(((x \ 1) \ 1) \ y,x,x \ 1) = (x \ 1) * y. [hyper(367,a,2555,a),flip(a)]. given #2393 (H,wt=20): 2424 (x \ 1) * y != (1 / x) * z | K(x \ 1,x) * y = z. [para(2417(a,1),22(a,1))]. given #2394 (H,wt=20): 2425 (1 / x) \ ((x \ 1) * y) != z | K(x \ 1,x) * y = z. [para(2417(a,1),237(a,1,2)),flip(b)]. given #2395 (H,wt=20): 2429 K(x,x \ 1) \ ((1 / x) * y) != z | (x \ 1) * y = z. [para(2420(a,1),237(a,1,2)),flip(b)]. given #2396 (H,wt=20): 2459 K(x \ 1,x) \ (x * y) != z | ((x \ 1) \ 1) * y = z. [para(2443(a,1),237(a,1,2)),flip(b)]. given #2397 (H,wt=20): 2470 K(x \ 1,x) * (x * y) != z | (1 / (1 / x)) * y = z. [para(2391(a,1),2449(a,1,2)),flip(b)]. given #2398 (H,wt=20): 2471 K(x \ 1,x) * ((1 / x) * y) != z | (x \ 1) * y = z. [para(2420(a,1),2449(a,1,2)),flip(b)]. given #2399 (H,wt=20): 2472 K(x \ 1,x) * ((x \ 1) \ y) != z | (1 / x) \ y = z. [para(2433(a,1),2449(a,1,2)),flip(b)]. given #2400 (H,wt=20): 2516 x * K(y,y \ 1) != x * z | T(K(y,y \ 1),x) = z. [para(2502(a,1),148(a,2)),flip(a)]. given #2401 (H,wt=20): 2532 (x \ 1) * y != z * K(x \ 1,x) | (1 / x) * y = z. [para(2489(a,1),23(a,1))]. given #2402 (H,wt=20): 2533 (1 / x) \ y != z * K(x \ 1,x) | (x \ 1) \ y = z. [para(2490(a,1),23(a,1))]. given #2403 (H,wt=20): 2542 ((x \ 1) \ 1) \ y != z | (x \ y) * K(x \ 1,x) = z. [para(2445(a,1),2506(a,1))]. given #2404 (H,wt=20): 2558 L(x * K(y \ 1,y),y,y \ 1) = (y \ 1) * (y * x). [para(2536(a,1),2556(a,1,1))]. given #2405 (H,wt=20): 2559 K(x \ 1,x) * y != z | (x \ 1) * ((1 / x) \ y) = z. [para(17(a,1),2471(a,1,2))]. given #2406 (H,wt=21): 2352 K(x \ 1,x) * (y / (x * y)) = ((y / (x * y)) \ 1) \ 1. [para(2341(a,1),1540(a,1,1))]. given #2407 (H,wt=16): 2561 R(x \ 1,x,y) = ((y / (x * y)) \ 1) \ 1. [hyper(2343,a,2352,a)]. given #2408 (H,wt=21): 2385 L((x \ 1) * y,x,x \ 1) = (1 / x) * L(y,x \ 1,x). [para(166(a,1),2374(a,1,2)),flip(a)]. given #2409 (H,wt=21): 2395 x * ((1 / x) * (y * x)) != z | L(y,x,x \ 1) * x = z. [para(2384(a,1),303(a,1,2))]. given #2410 (H,wt=21): 2414 K(x,x \ 1) * (T(x,y) \ 1) = x * (T(x,y) \ (1 / x)). [hyper(189,a,1776,a(flip),b,2396,a(flip))]. given #2411 (H,wt=21): 2423 K(x / y,(x / y) \ 1) \ y = (((x / y) \ 1) \ 1) \ x. [hyper(75,a,69,a(flip),b,2415,a)]. given #2412 (H,wt=21): 2464 (x \ 1) \ (K(x,x \ 1) * y) = (((x \ 1) \ 1) \ 1) \ y. [para(1838(a,1),2452(a,1,2,1))]. given #2413 (H,wt=21): 2504 (x * (T(x,y) / x)) * K(x \ 1,x) = T(1 / (1 / x),y). [para(1617(a,1),2479(a,1,1))]. given #2414 (H,wt=21): 2563 K(x \ 1,x) \ (x * y) = (((y / (x * y)) \ 1) \ 1) \ y. [para(2341(a,1),2423(a,1,1))]. given #2415 (H,wt=18): 2565 R(x \ 1,x,y) \ y = K(x \ 1,x) \ (x * y). [para(2561(a,2),2563(a,2,1)),flip(a)]. given #2416 (H,wt=16): 2566 R(x \ 1,x,y) \ y = ((x \ 1) \ 1) * y. [hyper(189,a,2448,a(flip),b,2565,a)]. given #2417 (H,wt=16): 2567 R(x \ 1,x,y) \ y = T(x,x \ 1) * y. [hyper(189,a,219,a,b,2566,a)]. given #2418 (H,wt=18): 2568 R(x,1 / x,y) \ y = (((1 / x) \ 1) \ 1) * y. [para(69(a,1),2566(a,1,1,1))]. given #2419 (H,wt=14): 2570 R(x,1 / x,y) \ y = (x \ 1) * y. [para(69(a,1),2568(a,2,1,1))]. given #2420 (H,wt=14): 2571 R(x,1 / x,y) = y / ((x \ 1) * y). [para(2570(a,1),67(a,1,2)),flip(a)]. given #2421 (H,wt=13): 2572 R(x,1 / x,y) = R(x,x \ 1,y). [hyper(189,a,139,a,b,2571,a)]. given #2422 (H,wt=17): 2573 R(x \ 1,(x \ 1) \ 1,y) = R(x \ 1,x,y). [para(67(a,1),2572(a,1,2)),flip(a)]. given #2423 (H,wt=19): 2569 (((x / (y * x)) \ 1) \ 1) \ x = T(y,y \ 1) * x. [para(2561(a,1),2567(a,1,1))]. given #2424 (H,wt=21): 2575 T(x / y,(x / y) \ 1) * y = (((y / x) \ 1) \ 1) \ y. [para(19(a,1),2569(a,1,1,1,1,2)),flip(a)]. given #2425 (H,wt=19): 2576 (((x / y) \ 1) \ 1) \ x = (((y / x) \ 1) \ 1) * x. [hyper(551,a,2575,a),flip(a)]. given #2426 (H,wt=19): 2577 (((x / y) \ 1) \ 1) \ x = x * (((x \ y) \ 1) \ 1). [hyper(189,a,2103,a(flip),b,2576,a)]. given #2427 (H,wt=22): 2309 L((1 / x) * T((1 / x) \ 1,y),x,y) = K(1 / (1 / x),y). [para(69(a,1),2308(a,1,2))]. given #2428 (H,wt=16): 2579 L(T(x,y) / x,x,y) = K(1 / (1 / x),y). [para(792(a,1),2309(a,1,1))]. given #2429 (H,wt=15): 2580 K(1 / (1 / x),y) = (x * K(x,y)) / x. [hyper(189,a,676,a(flip),b,2579,a(flip))]. given #2430 (H,wt=13): 2581 T(K(1 / (1 / x),y),x) = K(x,y). [para(2580(a,2),142(a,1,1))]. given #2431 (H,wt=21): 2582 T(K(1 / (x \ 1),y),T(x,x \ 1)) = K(T(x,x \ 1),y). [para(174(a,1),2581(a,1,1,1,2))]. given #2432 (H,wt=17): 2583 T(K(x,y),T(x,x \ 1)) = K(T(x,x \ 1),y). [para(67(a,1),2582(a,1,1,1))]. given #2433 (H,wt=13): 2584 K(T(x,x \ 1),y) = T(K(x,y),x). [hyper(189,a,2061,a(flip),b,2583,a(flip))]. given #2434 (H,wt=13): 2585 T(K(x,y),x) = K((x \ 1) \ 1,y). [para(114(a,1),2584(a,1,1)),flip(a)]. given #2435 (H,wt=15): 2586 x * K((x \ 1) \ 1,y) = K(x,y) * x. [para(2585(a,1),113(a,1,2))]. given #2436 (H,wt=22): 2328 ((x * y) * K(z,z \ 1)) * K(z \ 1,z) != x * u | u = y. [para(2322(a,2),22(a,2)),flip(a)]. given #2437 (H,wt=22): 2348 (x / y) * y != z * K(u \ 1,u) | x * K(u,u \ 1) = z. [para(2325(a,2),23(a,1))]. given #2438 (H,wt=22): 2354 x * (y * K(x \ 1,x)) != z | (x * y) * K(x \ 1,x) = z. [para(2353(a,1),204(a,1,1))]. given #2439 (H,wt=22): 2363 (K(x,x \ 1) * y) / (x * y) = 1 / (1 / R(1 / x,x,y)). [para(2361(a,1),2136(a,1,1,1))]. given #2440 (H,wt=21): 2587 R(1 / (1 / (1 / x)),x,y) = 1 / (1 / R(1 / x,x,y)). [hyper(1561,a,2363,a)]. given #2441 (H,wt=22): 2387 L(L(x,y,z) \ 1,x,x \ 1) = (1 / x) * (L(x,y,z) \ x). [para(964(a,1),2374(a,1,2)),flip(a)]. given #2442 (H,wt=22): 2450 K(x,x \ 1) * (K(x \ 1,x) * y) != z * u | z \ y = u. [para(2438(a,1),253(a,1))]. given #2443 (H,wt=22): 2517 K(x,x \ 1) * y != z * u | z \ (y * K(x,x \ 1)) = u. [para(2502(a,2),426(a,1))]. given #2444 (H,wt=22): 2535 (1 / x) * (y * K(x \ 1,x)) != y * z | T(x \ 1,y) = z. [para(2496(a,2),148(a,2)),flip(a)]. given #2445 (H,wt=22): 2545 x * T(x \ (x / y),y) != z | (x / y) * K(y \ 1,y) = z. [para(2485(a,1),2506(a,1))]. given #2446 (H,wt=22): 2547 (x * y) * (x \ 1) != z * (1 / x) | (1 / (1 / x)) * y = z. [para(2531(a,1),23(a,1))]. given #2447 (H,wt=22): 2551 x * (1 / (1 / (x \ y))) != z * y | K(y \ x,x \ y) = z. [para(2546(a,1),23(a,1))]. given #2448 (H,wt=22): 2560 L((x \ 1) * ((1 / x) \ y),x,x \ 1) = (x \ 1) * (x * y). [para(2487(a,2),2558(a,1,1))]. given #2449 (H,wt=22): 2574 L(R(x,x \ 1,y),x \ 1,x) = R(1 / (1 / x),1 / x,y). [para(2572(a,1),475(a,1,1))]. given #2450 (H,wt=21): 2591 R(1 / (1 / x),1 / x,y) = R(1 / (1 / x),x \ 1,y). [hyper(189,a,475,a(flip),b,2574,a(flip))]. given #2451 (H,wt=22): 2592 R(1 / (1 / x),x \ 1,(1 / x) \ y) = ((1 / x) \ y) / y. [hyper(741,a,2591,a),flip(a)]. given #2452 (H,wt=23): 2307 L(T(x \ 1,x),T(x,x \ 1),y) = (L(x \ 1,x,y) \ 1) \ 1. [para(2306(a,1),2203(a,2,1,1))]. given #2453 (H,wt=20): 2594 x / ((L(y \ 1,y,x) \ 1) \ 1) = x * T(y,y \ 1). [para(2307(a,1),634(a,1,2))]. given #2454 (H,wt=23): 2351 ((x / (x * y)) * y) * (1 / y) = (y * (x / (x * y))) * (y \ 1). [para(2112(a,1),2338(a,1,1)),flip(a)]. given #2455 (H,wt=19): 2596 (1 / (1 / x)) * (y / (y * x)) = (y / (y * x)) * x. [hyper(21,a,2531,a,b,2351,a),flip(a)]. given #2456 (H,wt=13): 2597 T(1 / (1 / x),y / (y * x)) = x. [hyper(147,a,2596,a,b,xx)]. given #2457 (H,wt=13): 2599 T(1 / (1 / x),(y / x) / y) = x. [para(19(a,1),2597(a,1,2,2))]. given #2458 (H,wt=19): 2600 (1 / (1 / x)) \ (((y / x) / y) * x) = (y / x) / y. [para(2599(a,1),144(a,1,2,2))]. given #2459 (H,wt=23): 2356 R(x,(y \ 1) \ 1,T(y \ 1,y)) = R(x,1 / (y \ 1),y \ 1). [para(627(a,2),2355(a,1,3))]. given #2460 (H,wt=19): 2602 R(x,(y \ 1) \ 1,T(y \ 1,y)) = R(x,y,y \ 1). [para(67(a,1),2356(a,2,2))]. given #2461 (H,wt=19): 2603 R(x,T(y,y \ 1),T(y \ 1,y)) = R(x,y,y \ 1). [para(114(a,2),2602(a,1,2))]. given #2462 (H,wt=23): 2389 (1 / x) \ L(L(y,x,x \ 1),z,u) != x * w | L(y,z,u) = w. [para(2380(a,1),818(a,1,2,1))]. given #2463 (H,wt=23): 2397 K(x,x \ 1) \ (y * ((x \ 1) \ 1)) = x * T(y,(x \ 1) \ 1). [hyper(75,a,113,a(flip),b,2365,a)]. given #2464 (H,wt=23): 2432 (1 / x) \ (K(x,x \ 1) * (T(x,y) \ 1)) = (x \ T(x,y)) \ 1. [hyper(189,a,2064,a(flip),b,2426,a)]. given #2465 (H,wt=21): 2604 (1 / x) \ (x * (T(x,y) \ (1 / x))) = (x \ T(x,y)) \ 1. [para(2414(a,1),2432(a,1,2))]. given #2466 (H,wt=23): 2436 K(x,x \ 1) * (((x \ y) / y) * x) = (x \ 1) \ ((x \ y) / y). [para(912(a,1),2433(a,1,2))]. given #2467 (H,wt=23): 2468 (T(x,y) * K(x \ 1,x)) * z = T(x,y) * (K(x \ 1,x) * z). [para(2467(a,1),380(a,1,1,1)),flip(a)]. given #2468 (H,wt=12): 2605 L(x,K(y \ 1,y),T(y,z)) = x. [hyper(346,a,2468,a)]. given #2469 (H,wt=24): 2278 R(x,(1 / y) \ 1,1 / y) / (1 / y) = x * (y * K(y \ 1,y)). [para(474(a,2),2273(a,2,2))]. given #2470 (H,wt=20): 2606 R(x,y,1 / y) / (1 / y) = x * (y * K(y \ 1,y)). [para(69(a,1),2278(a,1,1,2))]. given #2471 (H,wt=20): 2607 R(x,y,y \ 1) / (1 / y) = x * (y * K(y \ 1,y)). [para(2270(a,1),2606(a,1,1))]. given #2472 (H,wt=18): 2608 R(x,y,y \ 1) / (1 / y) = x * (1 / (1 / y)). [para(474(a,1),2607(a,2,2))]. given #2473 (H,wt=17): 2609 (x * (1 / (1 / y))) * K(y,y \ 1) = x * y. [para(2608(a,1),2339(a,1,1))]. given #2474 (H,wt=17): 2610 K(x,x \ 1) * (y * (1 / (1 / x))) = y * x. [hyper(2523,a,2609,a)]. given #2475 (H,wt=17): 2611 (x * y) * K(y \ 1,y) = x * (1 / (1 / y)). [hyper(2331,a,2609,a)]. given #2476 (H,wt=17): 2612 (x / (1 / (1 / y))) * y = x * K(y,y \ 1). [hyper(252,a,2609,a),flip(a)]. given #2477 (H,wt=17): 2613 (x * y) \ (x * (1 / (1 / y))) = K(y \ 1,y). [para(2609(a,1),2326(a,1,1))]. given #2478 (H,wt=14): 2615 L(K(x \ 1,x),x,y) = K(x \ 1,x). [hyper(647,a,2613,a)]. given #2479 (H,wt=17): 2616 K((x * y) \ x,x \ (x * y)) = K(y \ 1,y). [hyper(189,a,2214,a(flip),b,2615,a(flip)),flip(a)]. given #2480 (H,wt=13): 2618 K((x * y) \ x,y) = K(y \ 1,y). [para(16(a,1),2616(a,1,2))]. given #2481 (H,wt=17): 2619 K((x \ y) \ 1,x \ y) = K(y \ x,x \ y). [para(17(a,1),2618(a,1,1,1)),flip(a)]. given #2482 (H,wt=19): 2620 K(T(x,y) \ 1,T(x,y)) = K((x * y) \ y,T(x,y)). [para(113(a,1),2618(a,1,1,1)),flip(a)]. given #2483 (H,wt=19): 2621 x * K(y \ x,x \ y) = y * (((y \ x) \ 1) \ 1). [para(2619(a,1),1998(a,1,2))]. given #2484 (H,wt=19): 2624 K(x \ y,y \ x) * y = x * (((x \ y) \ 1) \ 1). [hyper(189,a,2522,a,b,2621,a(flip)),flip(a)]. given #2485 (H,wt=23): 2622 ((x \ y) * z) * K(y \ x,x \ y) = (1 / (1 / (x \ y))) * z. [para(2619(a,1),2488(a,1,2))]. given #2486 (H,wt=24): 2392 T(x,y) * L(T(x,y) \ 1,x,x \ 1) = T(x * ((1 / x) * 1),y). [para(2379(a,1),1923(a,2,1,2))]. given #2487 (H,wt=23): 2626 T(x,y) * ((1 / x) * (T(x,y) \ x)) = T(x * ((1 / x) * 1),y). [para(2388(a,1),2392(a,1,2))]. given #2488 (H,wt=21): 2627 T(x,y) * ((1 / x) * (T(x,y) \ x)) = T(x * (1 / x),y). [para(15(a,1),2626(a,2,1,2))]. given #2489 (H,wt=21): 2628 T(x,y) * ((1 / x) * (T(x,y) \ x)) = T(K(x,x \ 1),y). [para(1535(a,2),2627(a,2,1))]. given #2490 (H,wt=19): 2629 T(x,y) \ K(x,x \ 1) = (1 / x) * (T(x,y) \ x). [hyper(75,a,2514,a(flip),b,2628,a)]. given #2491 (H,wt=24): 2457 (1 / x) \ ((x \ 1) * (K(x,x \ 1) * y)) != z * u | z \ y = u. [para(2440(a,2),253(a,1,2))]. given #2492 (H,wt=24): 2491 L(x \ 1,x,K(y \ 1,y)) = (x * K(y \ 1,y)) \ K(y \ 1,y). [para(2475(a,1),140(a,2,1))]. given #2493 (H,wt=24): 2537 K(x,x \ 1) * (((x \ y) / y) * x) != z | x * ((x \ y) / y) = z. [para(2500(a,2),1757(a,1))]. given #2494 (H,wt=20): 2630 (x \ 1) \ ((x \ y) / y) != z | x * ((x \ y) / y) = z. [para(2436(a,1),2537(a,1))]. given #2495 (H,wt=24): 2549 (((x \ 1) \ 1) \ y) * ((x \ 1) \ 1) != y * z | K(x \ y,x) = z. [para(2538(a,2),334(a,1))]. given #2496 (H,wt=24): 2564 T(1 / (1 / x),y) != z * K(x \ 1,x) | x * (T(x,y) / x) = z. [para(2504(a,1),23(a,1))]. given #2497 (H,wt=24): 2590 K(x,x \ 1) * ((1 / x) \ y) != z * u | z \ ((x \ 1) \ y) = u. [para(2376(a,1),2450(a,1,2))]. given #2498 (H,wt=24): 2595 T(K(x,y),L(x \ 1,x,y) \ 1) = K(y \ (y * T(x,x \ 1)),y). [para(2594(a,1),1380(a,2,1,2))]. given #2499 (H,wt=20): 2631 T(K(x,y),L(x \ 1,x,y) \ 1) = K(T(x,x \ 1),y). [hyper(189,a,1215,a(flip),b,2595,a)]. given #2500 (H,wt=20): 2633 T(K(x,y),L(x \ 1,x,y) \ 1) = K((x \ 1) \ 1,y). [para(114(a,1),2631(a,2,1))]. given #2501 (H,wt=19): 2634 T(K(x,y),((y * x) \ y) \ 1) = K((x \ 1) \ 1,y). [para(140(a,1),2633(a,1,2,1))]. given #2502 (H,wt=25): 2285 x * ((y \ 1) * (y * T(y \ 1,x))) = (1 / y) * (x * K(y \ 1,y)). [para(2282(a,1),2121(a,1,1)),flip(a)]. given #2503 (H,wt=17): 2636 (x \ 1) * (x * T(x \ 1,y)) = T(x \ 1,y). [hyper(147,a,2496,a(flip),b,2285,a),flip(a)]. given #2504 (H,wt=17): 2638 (x \ 1) \ T(x \ 1,y) = x * T(x \ 1,y). [hyper(80,a,2636,a)]. given #2505 (H,wt=13): 2642 T(x,T(x \ 1,y)) = (x \ 1) \ 1. [hyper(147,a,2638,a(flip),b,773,a)]. given #2506 (H,wt=13): 2645 T(x,T(x \ 1,y)) = T(x,x \ 1). [hyper(189,a,114,a,b,2642,a)]. given #2507 (H,wt=16): 2646 T(x,T(x \ 1,y)) != z | T(x,x \ 1) = z. [para(2642(a,2),241(a,1))]. given #2508 (H,wt=17): 2641 K(x \ (x / y),x) = (y \ 1) \ T(y \ 1,x). [hyper(189,a,886,a,b,2638,a),flip(a)]. given #2509 (H,wt=18): 2643 L(x * T(x \ 1,y),x \ 1,y) = K(x \ 1,y). [para(2638(a,1),584(a,2,1)),flip(a)]. given #2510 (H,wt=11): 2647 K(1 / x,y) = K(x \ 1,y). [hyper(189,a,2308,a(flip),b,2643,a(flip)),flip(a)]. given #2511 (H,wt=11): 2648 K((x \ 1) \ 1,y) = K(x,y). [para(67(a,1),2647(a,1,1)),flip(a)]. given #2512 (H,wt=9): 2649 T(K(x,y),x) = K(x,y). [hyper(189,a,2585,a,b,2648,a(flip)),flip(a)]. given #2513 (H,wt=7): 2651 T(x,K(x,y)) = x. [hyper(38,a,2649,a)]. given #2514 (H,wt=11): 2650 K(x,y) * x = x * K(x,y). [para(2648(a,1),2586(a,1,2)),flip(a)]. given #2515 (H,wt=11): 2652 (x * K(x,y)) / x = K(x,y). [para(2649(a,1),143(a,1,1,2))]. given #2516 (H,wt=12): 2658 T(K(x,y),x) != z | K(x,y) = z. [para(2652(a,1),242(a,1,1)),flip(b)]. given #2517 (H,wt=14): 2654 K(x,y) * x != z | x * K(x,y) = z. [para(2651(a,1),205(a,1,2))]. given #2518 (H,wt=14): 2659 K((x \ 1) \ 1,y) != z | K(x,y) = z. [para(2585(a,1),2658(a,1))]. given #2519 (H,wt=14): 2660 K(x \ 1,y) != z | K(1 / x,y) = z. [para(69(a,1),2659(a,1,1,1))]. given #2520 (H,wt=15): 2655 T(x,y) * K(x,z) = K(x,z) * T(x,y). [para(2651(a,1),158(a,1,2,1)),flip(a)]. given #2521 (H,wt=11): 2662 T(K(x,y),T(x,z)) = K(x,y). [hyper(148,a,2655,a)]. given #2522 (H,wt=15): 2656 T((x * y) / x,K(y,z)) = (x * y) / x. [para(2651(a,1),330(a,1,1,2)),flip(a)]. given #2523 (H,wt=13): 2665 T(K(x,y),(z * x) / z) = K(x,y). [hyper(38,a,2656,a)]. given #2524 (H,wt=17): 2653 R(K(x,y),z,u) * x = x * R(K(x,y),z,u). [para(2649(a,1),160(a,1,2,1)),flip(a)]. given #2525 (H,wt=10): 2666 T(x,R(K(x,y),z,u)) = x. [hyper(148,a,2653,a)]. given #2526 (H,wt=10): 2667 K(x,R(K(x,y),z,u)) = 1. [hyper(39,a,2666,a)]. given #2527 (H,wt=18): 2664 T(x,y) * K(x,z) != u | K(x,z) * T(x,y) = u. [para(2662(a,1),205(a,1,2))]. given #2528 (H,wt=20): 2639 (x \ 1) \ T(x \ 1,y) != z | x * T(x \ 1,y) = z. [para(2636(a,1),237(a,1,2)),flip(b)]. given #2529 (H,wt=20): 2644 (x \ 1) \ T(x \ 1,y) != z | K(y \ (y / x),y) = z. [para(2638(a,2),888(a,1))]. given #2530 (H,wt=20): 2657 K(x,y) * R(x,z,u) != w | R(x,z,u) * K(x,y) = w. [para(2651(a,1),304(a,1,2,1))]. given #2531 (H,wt=21): 2661 L(x * T(x \ 1,y),x \ 1,y) != z | K(1 / x,y) = z. [para(2643(a,2),2660(a,1))]. given #2532 (H,wt=25): 2318 (x * T(y,z)) / T(T(y,y \ 1),z) = x * K(T(y,z) \ 1,T(y,z)). [para(2093(a,2),2314(a,1,2))]. given #2533 (H,wt=25): 2321 T(x * ((y \ 1) \ 1),z) * K(y \ 1,y) = (y \ T(y * x,z)) * y. [para(788(a,1),2316(a,1,1)),flip(a)]. given #2534 (H,wt=25): 2386 L(x,y,y \ 1) \ ((1 / y) * (x * y)) = L(K(x,y),y * x,1 / y). [para(2374(a,1),217(a,1,1))]. given #2535 (H,wt=25): 2625 ((x \ (x / y)) * z) * K(y,y \ 1) = (1 / (1 / (x \ (x / y)))) * z. [para(2211(a,1),2622(a,1,2))]. given #2536 (H,wt=25): 2635 (((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)) = K((y \ 1) \ 1,x). [hyper(2080,a,2634,a)]. given #2537 (H,wt=21): 2669 (((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)) = K(y,x). [hyper(189,a,2648,a(flip),b,2635,a)]. given #2538 (H,wt=26): 2259 K(x,x \ 1) \ (y * ((x \ 1) \ 1)) != z | T(y * x,K(x,x \ 1)) = z. [para(2254(a,1),238(a,1,2))]. given #2539 (H,wt=19): 2670 T(x * y,K(y,y \ 1)) = y * T(x,(y \ 1) \ 1). [hyper(2259,a,2397,a)]. given #2540 (H,wt=11): 2671 T(x,(y \ 1) \ 1) = T(x,y). [hyper(2519,a,2670,a),flip(a)]. given #2541 (H,wt=11): 2672 T(x,1 / y) = T(x,y \ 1). [para(69(a,1),2671(a,1,2,1)),flip(a)]. given #2542 (H,wt=11): 2673 T(x,T(y,y \ 1)) = T(x,y). [para(114(a,2),2671(a,1,2))]. given #2543 (H,wt=11): 2674 T(x,1 / (1 / y)) = T(x,y). [para(134(a,1),2671(a,1,2)),flip(a)]. given #2544 (H,wt=13): 2675 T(x,T(y \ 1,y)) = T(x,y \ 1). [para(627(a,2),2671(a,1,2))]. given #2545 (H,wt=15): 2676 T(x,T((y \ 1) \ 1,z)) = T(x,T(y,z)). [para(2095(a,1),2671(a,1,2))]. given #2546 (H,wt=15): 2677 T(x,T(1 / y,z)) = T(x,T(y \ 1,z)). [para(2096(a,1),2671(a,1,2)),flip(a)]. given #2547 (H,wt=13): 2687 T(x,T(1 / x,y)) = T(x,x \ 1). [hyper(189,a,2645,a(flip),b,2677,a)]. given #2548 (H,wt=15): 2681 (1 / x) * T(y,x \ 1) = y * (1 / x). [para(2672(a,1),113(a,1,2))]. given #2549 (H,wt=16): 2678 T(x,R(y \ 1,y,z)) = T(x,z / (y * z)). [para(2561(a,2),2671(a,1,2))]. given #2550 (H,wt=17): 2685 T(x,x \ 1) * T(y,x) = y * T(x,x \ 1). [para(2673(a,1),113(a,1,2))]. given #2551 (H,wt=17): 2686 ((x \ 1) \ 1) * T(y,x) = y * T(x,x \ 1). [para(2673(a,1),524(a,1,2))]. given #2552 (H,wt=17): 2690 (1 / x) * T(y,x \ 1) = y * (1 \ (1 / x)). [para(58(a,2),2681(a,2,2))]. given #2553 (H,wt=17): 2692 T(x,R(1 / y,y,z)) = T(x,R(y \ 1,y,z)). [para(141(a,2),2678(a,2,2)),flip(a)]. given #2554 (H,wt=18): 2680 T(((1 / x) * y) * x,x \ 1) = R(y,1 / x,x). [hyper(189,a,739,a(flip),b,2672,a(flip))]. given #2555 (H,wt=19): 2682 ((1 / x) \ (y / x)) * (1 / x) = T(y,x \ 1) / x. [para(2672(a,1),804(a,2,1))]. given #2556 (H,wt=19): 2688 T(x,x \ 1) * T(x \ 1,y) = x * T(1 / x,y). [para(2687(a,1),1310(a,1,1))]. given #2557 (H,wt=19): 2691 (1 / (1 / x)) * (x \ y) = (y / x) * (1 / (1 / x)). [para(497(a,1),2681(a,1,2))]. given #2558 (H,wt=19): 2699 ((x \ 1) \ 1) * T(x \ 1,y) = x * T(1 / x,y). [hyper(551,a,2688,a)]. given #2559 (H,wt=21): 2696 T(x,R(y \ 1,(y \ 1) \ 1,z)) = T(x,R(1 / y,y,z)). [para(2573(a,2),2692(a,2,2)),flip(a)]. given #2560 (H,wt=24): 2697 T((K(x,x \ 1) * y) * x,x \ 1) = R((x \ 1) \ y,1 / x,x). [para(2427(a,1),2680(a,1,1,1))]. given #2561 (H,wt=22): 2703 T(x * T(y,y \ 1),y \ 1) = R((y \ 1) \ x,1 / y,y). [para(2518(a,1),2697(a,1,1))]. given #2562 (H,wt=24): 2702 T(x,R(y \ 1,(y \ 1) \ 1,x)) = (y * ((x * (y \ 1)) / x)) * x. [hyper(189,a,1304,a,b,2696,a)]. given #2563 (H,wt=24): 2704 T(x,R((y \ x) \ 1,((y \ x) \ 1) \ 1,x)) = K(x,y / x) * x. [para(1321(a,1),2702(a,2,1))]. given #2564 (H,wt=25): 2698 T(x,(y \ x) \ 1) / (y \ x) = ((1 / (y \ x)) \ y) * (1 / (y \ x)). [para(67(a,1),2682(a,1,1,2)),flip(a)]. given #2565 (H,wt=26): 2492 (x * K(y \ 1,y)) * L(z,x,K(y \ 1,y)) = K(y \ 1,y) * (x * z). [para(2475(a,1),102(a,1,1))]. given #2566 (H,wt=26): 2503 R((K(x,x \ 1) * y) / z,z,K(x \ 1,x)) = y / (z * K(x \ 1,x)). [para(2479(a,1),111(a,2,1))]. given #2567 (H,wt=26): 2553 x * (1 / (1 / (x \ (y \ x)))) != z * u | ((1 / (1 / y)) \ x) / u = z. [para(2552(a,2),298(a,1,2))]. given #2568 (H,wt=19): 2706 ((1 / (1 / x)) \ y) / y = 1 / (1 / ((x \ y) / y)). [hyper(2553,a,2105,a(flip))]. given #2569 (H,wt=19): 2707 1 / (1 / (((x \ 1) \ y) / y)) = ((1 / x) \ y) / y. [para(67(a,1),2706(a,1,1,1,2)),flip(a)]. given #2570 (H,wt=26): 2640 (x \ 1) \ T(x \ 1,y) != T(x \ 1,y) * z | T(x,T(x \ 1,y)) = z. [para(2636(a,1),291(a,1,2))]. given #2571 (H,wt=27): 2337 L(x * ((y \ 1) \ 1),z,u) * K(y \ 1,y) = (y \ L(y * x,z,u)) * y. [para(2082(a,1),2320(a,1,1))]. given #2572 (H,wt=27): 2350 ((x / y) * (y / x)) * ((x / y) \ 1) = ((y / x) * (x / y)) * (1 / (x / y)). [para(1769(a,1),2335(a,1,1))]. given #2573 (H,wt=17): 2709 ((x / y) * (y / x)) * ((x / y) \ 1) = y / x. [hyper(189,a,1734,a(flip),b,2350,a)]. given #2574 (H,wt=21): 2710 ((x \ y) / y) * (y / (x \ y)) = x / (((x \ y) / y) \ 1). [hyper(76,a,67,a(flip),b,2709,a),flip(a)]. given #2575 (H,wt=17): 2711 x / (((x \ y) / y) \ 1) = ((x \ y) / y) * x. [para(67(a,1),2710(a,1,2)),flip(a)]. given #2576 (H,wt=27): 2413 K(x,x \ 1) * ((y \ (1 / (1 / x))) * y) = x * K(y \ (1 / (1 / x)),y). [para(213(a,1),2391(a,1,2))]. given #2577 (H,wt=27): 2456 (x \ 1) * (K(x,x \ 1) * L((1 / x) \ y,z,u)) = L(y * x,z,u) / x. [hyper(189,a,1285,a(flip),b,2440,a)]. given #2578 (H,wt=27): 2689 R(T(x,x \ 1),y,z) \ R(x,y,z) = (R(x,y,z) \ (R(x,y,z) / x)) * x. [para(2687(a,1),2017(a,1,1,1))]. given #2579 (H,wt=24): 2713 R(T(x,x \ 1),y,z) \ R(x,y,z) = T(1 / x,R(x,y,z)) * x. [para(877(a,1),2689(a,2,1))]. given #2580 (H,wt=27): 2705 T(x,R((y \ x) \ 1,((y \ x) \ 1) \ 1,x)) != z | x * K(x,y / x) = z. [para(2704(a,2),2654(a,1))]. given #2581 (H,wt=27): 2715 R(T(x,x \ 1),y,z) \ R(x,y,z) != u | x * T(x \ 1,R(x,y,z)) = u. [para(2713(a,2),544(a,1))]. given #2582 (H,wt=28): 2430 (x * ((1 / y) * z)) / L((y \ 1) * z,K(y,y \ 1),x) = x * K(y,y \ 1). [para(2420(a,1),128(a,1,1,2))]. given #2583 (H,wt=28): 2524 ((x * y) * K(z,z \ 1)) / (K(z,z \ 1) * y) = R(x,y,T(K(z,z \ 1),y)). [para(2514(a,1),156(a,1,1,2))]. given #2584 (H,wt=28): 2589 T(R(1 / (1 / (1 / x)),x,y),x * y) = T(1 / (1 / (y / (x * y))),x * y). [para(2587(a,2),2027(a,1,1))]. given #2585 (H,wt=28): 2598 (x / (x * y)) * z != (x / (x * y)) * y | T(1 / (1 / y),x / (x * y)) = z. [para(2596(a,1),148(a,2))]. given #2586 (H,wt=28): 2614 R(T(x / (1 / (1 / y)),y * z),y,z) = (y * z) \ ((x * K(y,y \ 1)) * z). [para(2612(a,1),507(a,1,2,1)),flip(a)]. given #2587 (H,wt=28): 2716 T(1 / (1 / (x / (y * x))),y * x) = R(T(1 / (1 / (1 / y)),y * x),y,x). [hyper(189,a,45,a,b,2589,a(flip))]. given #2588 (H,wt=27): 2717 T(1 / (1 / (x / (y * x))),y * x) = (y * x) \ ((1 * K(y,y \ 1)) * x). [hyper(189,a,2614,a(flip),b,2716,a)]. given #2589 (H,wt=25): 2718 T(1 / (1 / (x / (y * x))),y * x) = (y * x) \ (K(y,y \ 1) * x). [para(14(a,1),2717(a,2,2,1))]. given #2590 (H,wt=21): 2719 (x * y) \ (K(x,x \ 1) * y) = 1 / (1 / ((x * y) \ y)). [hyper(2118,a,2718,a),flip(a)]. given #2591 (H,wt=21): 2720 (x * y) * (1 / (1 / ((x * y) \ y))) = K(x,x \ 1) * y. [para(2719(a,1),17(a,1,2))]. given #2592 (H,wt=17): 2721 K(x \ (y * x),(y * x) \ x) = K(y,y \ 1). [hyper(2551,a,2720,a)]. given #2593 (H,wt=15): 2722 K(T(x,y),(x * y) \ y) = K(x,x \ 1). [para(35(a,2),2721(a,1,1))]. given #2594 (H,wt=15): 2723 K(T(x,y),T(x,y) \ 1) = K(x,x \ 1). [hyper(189,a,1993,a,b,2722,a(flip)),flip(a)]. given #2595 (H,wt=15): 2725 T(x,y) \ K(x,x \ 1) = 1 / T(x,y). [hyper(75,a,2723,a(flip),b,1535,a(flip))]. given #2596 (H,wt=15): 2727 x * (T(x,y) \ (1 / x)) = 1 / T(x,y). [hyper(1542,a,2725,a)]. given #2597 (H,wt=15): 2728 (1 / x) \ (1 / T(x,y)) = T(x,y) \ x. [hyper(75,a,2725,a(flip),b,2629,a(flip))]. given #2598 (H,wt=17): 2726 (T(x,y) \ 1) * K(x,x \ 1) = 1 / T(x,y). [para(2723(a,1),1541(a,1,2))]. given #2599 (H,wt=17): 2729 (1 / x) \ (1 / T(x,y)) = (x \ T(x,y)) \ 1. [para(2727(a,1),2604(a,1,2))]. given #2600 (H,wt=13): 2732 (x \ T(x,y)) \ 1 = T(x,y) \ x. [hyper(189,a,2728,a(flip),b,2729,a(flip))]. given #2601 (H,wt=15): 2733 (x \ 1) \ (T(x,y) \ 1) = T(x,y) \ x. [hyper(2066,a,2732,a)]. given #2602 (H,wt=15): 2738 (x \ 1) * (T(x,y) \ x) = T(x,y) \ 1. [para(2733(a,1),17(a,1,2))]. given #2603 (H,wt=17): 2730 K(x \ 1,x) * (1 / T(x,y)) = T(x,y) \ 1. [hyper(2511,a,2726,a)]. given #2604 (H,wt=13): 2740 x \ (x / T(x,y)) = T(x,y) \ 1. [hyper(189,a,2463,a(flip),b,2730,a(flip)),flip(a)]. given #2605 (H,wt=13): 2741 x * (T(x,y) \ 1) = x / T(x,y). [para(2740(a,1),17(a,1,2))]. given #2606 (H,wt=11): 2742 x / T(x,y) = T(x,y) \ x. [hyper(989,a,2741,a),flip(a)]. given #2607 (H,wt=11): 2745 (T(x,y) \ x) * T(x,y) = x. [para(2742(a,1),19(a,1,1))]. given #2608 (H,wt=10): 2749 L(x,T(x,y) \ x,x) = x. [hyper(189,a,1874,a,b,2745,a(flip)),flip(a)]. given #2609 (H,wt=11): 2746 (T(x,y) \ x) \ x = T(x,y). [para(2742(a,1),69(a,1,1))]. given #2610 (H,wt=13): 2743 (1 / T(x,y)) * x = T(x,y) \ x. [hyper(1501,a,2742,a)]. given #2611 (H,wt=13): 2751 (x * y) * T(K(y,x),x) = y * x. [para(2749(a,1),1873(a,1,2)),flip(a)]. given #2612 (H,wt=9): 2752 T(K(x,y),y) = K(x,y). [hyper(215,a,2751,a),flip(a)]. given #2613 (H,wt=7): 2753 T(x,K(y,x)) = x. [hyper(38,a,2752,a)]. given #2614 (H,wt=9): 2762 T(x,y \ T(y,x)) = x. [para(890(a,1),2753(a,1,2))]. given #2615 (H,wt=11): 2754 K(x,y) * y = y * K(x,y). [para(2752(a,1),113(a,1,2)),flip(a)]. given #2616 (H,wt=11): 2755 (x * K(y,x)) / x = K(y,x). [para(2752(a,1),143(a,1,1,2))]. given #2617 (H,wt=11): 2761 T(x,y * T(y \ 1,x)) = x. [para(886(a,1),2753(a,1,2))]. given #2618 (H,wt=11): 2763 T(x,x \ ((y * x) / y)) = x. [para(1472(a,1),2753(a,1,2))]. given #2619 (H,wt=13): 2766 T(x \ T(x,y),y) = x \ T(x,y). [hyper(38,a,2762,a)]. given #2620 (H,wt=14): 2756 x * K(y,x) != z | K(y,x) * x = z. [para(2752(a,1),205(a,1,2))]. given #2621 (H,wt=14): 2757 (x * K(y,x)) / x != z | K(y,x) = z. [para(2752(a,1),250(a,1,1,2)),flip(b)]. given #2622 (H,wt=15): 2739 K(T(x,y) \ 1,T(x,y)) = K(x \ 1,x). [hyper(1828,a,2730,a)]. given #2623 (H,wt=14): 2777 L(x,K(y \ 1,y),T(T(y,z),u)) = x. [para(2739(a,1),2605(a,1,2))]. given #2624 (H,wt=15): 2748 (T(x,y) \ x) * x = x * (T(x,y) \ x). [para(2742(a,1),1507(a,1,1))]. given #2625 (H,wt=15): 2759 T(x,y) * K(z,x) = K(z,x) * T(x,y). [para(2753(a,1),158(a,1,2,1)),flip(a)]. given #2626 (H,wt=11): 2781 T(K(x,y),T(y,z)) = K(x,y). [hyper(148,a,2759,a)]. given #2627 (H,wt=9): 2782 K(K(x,y),T(y,z)) = 1. [hyper(39,a,2781,a)]. given #2628 (H,wt=11): 2783 K(x \ T(x,y),T(y,z)) = 1. [para(890(a,1),2782(a,1,1))]. given #2629 (H,wt=15): 2767 (x \ T(x,y)) * y = y * (x \ T(x,y)). [para(2762(a,1),113(a,1,2))]. given #2630 (H,wt=15): 2773 ((x * y) / x) / y = y \ ((x * y) / x). [para(2763(a,1),174(a,1,2))]. given #2631 (H,wt=15): 2774 K((x * y) \ y,T(x,y)) = K(x \ 1,x). [hyper(189,a,2620,a(flip),b,2739,a(flip)),flip(a)]. given #2632 (H,wt=15): 2775 K(x \ 1,x) / T(x,y) = T(x,y) \ 1. [hyper(76,a,2739,a(flip),b,165,a(flip))]. given #2633 (H,wt=15): 2784 T(x \ T(x,y),T(y,z)) = x \ T(x,y). [hyper(40,a,2783,a)]. given #2634 (H,wt=15): 2787 x * (((y * x) / y) / x) = (y * x) / y. [para(2773(a,2),17(a,1,2))]. given #2635 (H,wt=16): 2747 T(x,y) \ x != z | (1 / T(x,y)) * x = z. [para(2742(a,1),1501(a,1))]. given #2636 (H,wt=17): 2731 (1 / T(x,y)) * K(x \ 1,x) = T(x,y) \ 1. [hyper(2331,a,2726,a)]. given #2637 (H,wt=17): 2758 L(K(x,y),z,u) * y = y * L(K(x,y),z,u). [para(2752(a,1),159(a,1,2,1)),flip(a)]. given #2638 (H,wt=10): 2794 T(x,L(K(y,x),z,u)) = x. [hyper(148,a,2758,a)]. given #2639 (H,wt=17): 2772 T(x * T(x \ 1,y),y) = x * T(x \ 1,y). [hyper(38,a,2761,a)]. given #2640 (H,wt=17): 2776 T(x,y) * K(x \ 1,x) = T(1 / (1 / x),y). [para(2739(a,1),2099(a,1,2))]. given #2641 (H,wt=11): 2796 x * (T(x,y) / x) = T(x,y). [hyper(21,a,2504,a,b,2776,a),flip(a)]. given #2642 (H,wt=11): 2798 T(x,y) / x = x \ T(x,y). [hyper(80,a,2796,a),flip(a)]. given #2643 (H,wt=11): 2799 (x \ T(x,y)) * x = T(x,y). [para(2796(a,1),70(a,1,1,2))]. given #2644 (H,wt=9): 2809 T(x,x \ T(x,y)) = x. [hyper(227,a,2799,a)]. given #2645 (H,wt=9): 2815 K(x,x \ T(x,y)) = 1. [hyper(39,a,2809,a)]. given #2646 (H,wt=9): 2818 K(x,T(x,y) / x) = 1. [para(2798(a,2),2815(a,1,2))]. given #2647 (H,wt=11): 2819 T(1 / x,T(x,y)) = x \ 1. [hyper(75,a,2818,a(flip),b,1064,a),flip(a)]. given #2648 (H,wt=13): 2802 (1 / x) * T(x,y) = x \ T(x,y). [hyper(189,a,793,a,b,2798,a(flip)),flip(a)]. given #2649 (H,wt=13): 2817 T(x,K(y \ (y / (x \ 1)),y)) = x. [para(890(a,2),2809(a,1,2))]. given #2650 (H,wt=13): 2821 T(x \ 1,T(x,y)) = T(x \ 1,x). [para(2819(a,1),161(a,1,1)),flip(a)]. given #2651 (H,wt=14): 2803 (x \ T(x,y)) * x != z | T(x,y) = z. [para(2798(a,1),200(a,1,1)),flip(b)]. given #2652 (H,wt=15): 2812 (x \ ((x \ y) \ y)) * x = T(x,x \ y). [para(114(a,1),2799(a,1,1,2))]. given #2653 (H,wt=15): 2823 (((x * y) / x) \ y) \ y = (x * y) / x. [hyper(916,a,2817,a)]. given #2654 (H,wt=15): 2826 (((x * y) / x) \ y) * ((x * y) / x) = y. [para(2823(a,1),17(a,1,2))]. given #2655 (H,wt=16): 2810 T(x,R(1 / y,y,x)) = T(x,x / (x * y)). [hyper(189,a,1403,a,b,2799,a(flip)),flip(a)]. given #2656 (H,wt=16): 2820 L(x \ 1,x,y \ ((x * y) / x)) = x \ 1. [hyper(189,a,1302,a(flip),b,2819,a(flip)),flip(a)]. given #2657 (H,wt=14): 2832 L(x \ 1,x,T(y,x) \ y) = x \ 1. [para(143(a,1),2820(a,1,3,2))]. given #2658 (H,wt=16): 2822 T(x / (y * x),T(y,z)) = R(y \ 1,y,x). [para(2819(a,1),288(a,2,1))]. given #2659 (H,wt=16): 2829 T(x,R(y \ 1,y,x)) = T(x,x / (x * y)). [hyper(189,a,2692,a(flip),b,2810,a(flip)),flip(a)]. given #2660 (H,wt=17): 2786 (1 / x) * ((y * x) / y) = x \ ((y * x) / y). [hyper(189,a,1110,a,b,2773,a(flip)),flip(a)]. given #2661 (H,wt=17): 2790 K((x * y) \ y,y \ (x * y)) = K(x \ 1,x). [para(35(a,1),2774(a,1,2))]. given #2662 (H,wt=17): 2801 (1 / x) * T((1 / x) \ 1,y) = x \ T(x,y). [hyper(1226,a,2798,a)]. given #2663 (H,wt=17): 2807 (x \ T(x,y)) / (y \ 1) = y * (T(x,y) / x). [para(2798(a,1),1865(a,1,1))]. given #2664 (H,wt=17): 2834 (x \ T(x,y)) / (y \ 1) = y * (x \ T(x,y)). [para(2798(a,1),2807(a,2,2))]. given #2665 (H,wt=17): 2835 (x * (y \ T(y,x))) * (x \ 1) = y \ T(y,x). [para(2834(a,1),19(a,1,1))]. given #2666 (H,wt=18): 2760 K(x,y) * T(y,z) != u | T(y,z) * K(x,y) = u. [para(2753(a,1),302(a,1,2,1))]. given #2667 (H,wt=18): 2771 L((T(x,y) * (x \ y)) / y,y,x) = K(T(x,y),y). [hyper(189,a,986,a,b,2755,a(flip)),flip(a)]. given #2668 (H,wt=18): 2791 (x * y) / x != y * z | ((x * y) / x) / y = z. [para(2787(a,1),22(a,1))]. given #2669 (H,wt=18): 2800 x \ T(x,R(y,y \ 1,x)) = y \ ((x * y) / x). [hyper(1300,a,2798,a),flip(a)]. given #2670 (H,wt=11): 2837 T(x,y \ ((x * y) / x)) = x. [para(2800(a,1),2809(a,1,2))]. given #2671 (H,wt=9): 2838 T(x,T(y,x) \ y) = x. [para(143(a,1),2837(a,1,2,2))]. given #2672 (H,wt=13): 2839 T(T(x,y) \ x,y) = T(x,y) \ x. [hyper(38,a,2838,a)]. given #2673 (H,wt=11): 2842 K(K(x,y),T(z,y) \ z) = 1. [para(2839(a,1),1955(a,1,2))]. given #2674 (H,wt=13): 2843 K(x \ T(x,y),T(z,y) \ z) = 1. [para(890(a,1),2842(a,1,1))]. given #2675 (H,wt=15): 2840 (T(x,y) \ x) * y = y * (T(x,y) \ x). [para(2838(a,1),113(a,1,2))]. given #2676 (H,wt=15): 2844 1 / (x \ T(x,y)) = (x \ T(x,y)) \ 1. [hyper(75,a,2843,a(flip),b,2000,a),flip(a)]. given #2677 (H,wt=13): 2847 1 / (x \ T(x,y)) = T(x,y) \ x. [hyper(189,a,2732,a(flip),b,2844,a)]. given #2678 (H,wt=13): 2848 x * ((T(x,y) \ x) \ 1) = T(x,y). [para(2847(a,1),132(a,1,2,1))]. given #2679 (H,wt=18): 2804 R(x \ T(x,y),x,z) = (T(x,y) * z) / (x * z). [para(2798(a,1),111(a,1,1))]. given #2680 (H,wt=18): 2841 (T(x,y) \ x) * y != z | y * (T(x,y) \ x) = z. [para(2838(a,1),205(a,1,2))]. given #2681 (H,wt=19): 2735 T(x / y,y) \ (x / y) = ((x / y) \ (y \ x)) \ 1. [para(115(a,1),2732(a,1,1,2)),flip(a)]. given #2682 (H,wt=17): 2850 ((x / y) \ (y \ x)) \ 1 = (y \ x) \ (x / y). [para(115(a,1),2735(a,1,1)),flip(a)]. given #2683 (H,wt=19): 2737 (x * T(x \ 1,y)) \ 1 = T(x \ 1,y) \ (x \ 1). [para(2638(a,1),2732(a,1,1))]. given #2684 (H,wt=19): 2744 K(x \ (x / ((y \ x) / T(x,y))),x) = T(x,y) \ x. [hyper(189,a,1632,a,b,2742,a(flip)),flip(a)]. given #2685 (H,wt=13): 2854 T(x \ 1,T(x,y) \ x) = x \ 1. [para(2744(a,1),1842(a,1,2))]. given #2686 (H,wt=15): 2856 T(T(x,y) \ x,x \ 1) = T(x,y) \ x. [hyper(38,a,2854,a)]. given #2687 (H,wt=19): 2764 x * ((K(x,y) \ y) * K(x,y)) = (y * x) * K(x,y). [para(2753(a,1),1970(a,1,1,1)),flip(a)]. given #2688 (H,wt=11): 2857 (K(x,y) \ y) * K(x,y) = y. [hyper(20,a,95,a(flip),b,2764,a)]. given #2689 (H,wt=11): 2858 x / K(y,x) = K(y,x) \ x. [hyper(88,a,2857,a)]. given #2690 (H,wt=14): 2860 x / K(y,x) != z | K(y,x) \ x = z. [para(2857(a,1),248(a,1,1)),flip(b)]. given #2691 (H,wt=18): 2861 x / K(y,x) != z * u | z \ (K(y,x) \ x) = u. [para(2857(a,1),406(a,1,1))]. given #2692 (H,wt=19): 2765 (x * K(y,x)) * (x \ T(x,z)) = K(y,x) * T(x,z). [para(2753(a,1),2069(a,1,2,1)),flip(a)]. given #2693 (H,wt=19): 2793 x * ((1 / T(x,y)) * K(x \ 1,x)) = T(x,y) \ x. [para(2731(a,2),987(a,1,2))]. given #2694 (H,wt=19): 2795 x * ((y \ (x \ y)) * y) = y * (x * T(x \ 1,y)). [para(2772(a,1),1158(a,1,2)),flip(a)]. given #2695 (H,wt=19): 2816 T(x,y) * (x \ T(x,z)) = (x \ T(x,z)) * T(x,y). [para(2809(a,1),158(a,1,2,1)),flip(a)]. given #2696 (H,wt=19): 2863 (x * (1 / T(x,y))) * K(x \ 1,x) = T(x,y) \ x. [hyper(2354,a,2793,a)]. given #2697 (H,wt=19): 2864 (x \ T(x,y)) * T(x,z) = T(x,y) * (x \ T(x,z)). [hyper(1061,a,2816,a),flip(a)]. given #2698 (H,wt=19): 2866 (T(x,y) * T(x,z)) / ((x \ T(x,y)) * T(x,z)) = x. [para(2864(a,2),976(a,1,2))]. given #2699 (H,wt=12): 2867 R(x,x \ T(x,y),T(x,z)) = x. [hyper(588,a,2866,a)]. given #2700 (H,wt=10): 2868 L(x,x \ T(x,y),x) = x. [para(2867(a,1),1056(a,1,1))]. given #2701 (H,wt=20): 2769 R(x,K(y,z),z) * (z * K(y,z)) = (x * K(y,z)) * z. [para(2754(a,1),110(a,1,2))]. given #2702 (H,wt=20): 2845 T(x,R(T(y,x),T(y,x) \ 1,x)) = x * (T(y,x) \ y). [hyper(189,a,1299,a,b,2840,a(flip)),flip(a)]. given #2703 (H,wt=20): 2849 T(x,R(y,y \ 1,x)) \ x = 1 / (y \ ((x * y) / x)). [para(2800(a,1),2847(a,1,2)),flip(a)]. given #2704 (H,wt=20): 2859 R(K(x,y) \ y,K(x,y),z) = (y * z) / (K(x,y) * z). [para(2857(a,1),33(a,2,1,1))]. given #2705 (H,wt=21): 2778 (x * T(y,z)) / T(T(y,y \ 1),z) = x * K(y \ 1,y). [para(2739(a,1),2318(a,2,2))]. given #2706 (H,wt=21): 2792 (x \ 1) * (x * ((y * (x \ 1)) / y)) = (y * (x \ 1)) / y. [para(1111(a,1),2787(a,1,2))]. given #2707 (H,wt=21): 2814 (T(x,y) * z) / (x * z) != u | R(x \ T(x,y),x,z) = u. [para(2799(a,1),385(a,1,1,1))]. given #2708 (H,wt=21): 2833 (x * y) * ((((x * y) \ y) \ 1) \ 1) = K(x \ 1,x) * y. [para(2790(a,1),2624(a,1,1)),flip(a)]. given #2709 (H,wt=21): 2851 (x \ (x * y)) \ ((x * y) / x) = (((x * y) / x) \ y) \ 1. [para(16(a,1),2850(a,1,1,2)),flip(a)]. given #2710 (H,wt=17): 2872 (((x * y) / x) \ y) \ 1 = y \ ((x * y) / x). [para(16(a,1),2851(a,1,1)),flip(a)]. given #2711 (H,wt=17): 2873 1 / (x \ ((y * x) / y)) = ((y * x) / y) \ x. [para(2872(a,1),67(a,1,2))]. given #2712 (H,wt=18): 2874 T(x,R(y,y \ 1,x)) \ x = ((x * y) / x) \ y. [hyper(189,a,2849,a,b,2873,a(flip)),flip(a)]. given #2713 (H,wt=20): 2875 T(x,R(y,y \ 1,x)) \ 1 = x \ (((x * y) / x) \ y). [hyper(75,a,2874,a(flip),b,987,a),flip(a)]. given #2714 (H,wt=17): 2877 T(x,x \ (((x * y) / x) \ y)) = T(x,x \ 1). [para(2875(a,1),2528(a,1,2))]. given #2715 (H,wt=15): 2878 T(x,x \ (y \ T(y,x))) = T(x,x \ 1). [para(143(a,1),2877(a,1,2,2,1))]. given #2716 (H,wt=20): 2876 T(x,R(T(y,x),T(y,x) \ 1,x)) \ x = y \ T(y,x). [para(143(a,1),2874(a,2,1))]. given #2717 (H,wt=15): 2881 (x * (T(y,x) \ y)) \ x = y \ T(y,x). [para(2845(a,1),2876(a,1,1))]. given #2718 (H,wt=15): 2882 x / (y \ T(y,x)) = x * (T(y,x) \ y). [para(2881(a,1),67(a,1,2))]. given #2719 (H,wt=21): 2865 (x \ 1) * (x * (1 / T(x,y))) = (1 / x) * (T(x,y) \ x). [para(2863(a,1),2496(a,1,2)),flip(a)]. given #2720 (H,wt=21): 2869 (x * T(y,z)) / T((y \ 1) \ 1,z) = x * K(y \ 1,y). [para(114(a,1),2778(a,1,2,1))]. given #2721 (H,wt=21): 2885 (x * K(y \ 1,y)) * T((y \ 1) \ 1,z) = x * T(y,z). [para(2869(a,1),19(a,1,1))]. given #2722 (H,wt=22): 2736 T(x,R(y,x,(y * x) \ x)) \ x = (x \ (x * K(x,y))) \ 1. [para(1407(a,1),2732(a,1,1,2)),flip(a)]. given #2723 (H,wt=18): 2886 T(x,R(y,x,(y * x) \ x)) \ x = K(x,y) \ 1. [para(16(a,1),2736(a,2,1))]. given #2724 (H,wt=22): 2768 (x \ T(x,y)) * T(y,z) != u | T(y,z) * (x \ T(x,y)) = u. [para(2762(a,1),302(a,1,2,1))]. given #2725 (H,wt=22): 2770 (x * y) \ ((x * K(z,x)) * y) = R(T(K(z,x),x * y),x,y). [para(2754(a,1),507(a,1,2,1))]. given #2726 (H,wt=22): 2785 x * (T(x,y) \ (y * (x \ T(x,y)))) = L(y,x \ T(x,y),x). [para(2767(a,1),1010(a,1,2,2))]. given #2727 (H,wt=22): 2811 T(x,y) \ ((x \ T(x,y)) * (x * z)) = L(z,x,x \ T(x,y)). [para(2799(a,1),31(a,2,1)),flip(a)]. given #2728 (H,wt=21): 2888 L(x * y,x \ T(x,z),x) = x * L(y,x,x \ T(x,z)). [para(2811(a,1),1010(a,1,2)),flip(a)]. given #2729 (H,wt=21): 2889 x * L(x \ y,x,x \ T(x,z)) = L(y,x \ T(x,z),x). [para(17(a,1),2888(a,1,1)),flip(a)]. given #2730 (H,wt=22): 2813 T(x,y) * L(z,x,x \ T(x,y)) = (x \ T(x,y)) * (x * z). [para(2799(a,1),102(a,1,1))]. given #2731 (H,wt=22): 2880 1 / T(x,R(T(y,x),T(y,x) \ 1,x)) = (y \ T(y,x)) / x. [hyper(76,a,2876,a(flip),b,2743,a),flip(a)]. given #2732 (H,wt=17): 2891 1 / (x * (T(y,x) \ y)) = (y \ T(y,x)) / x. [para(2845(a,1),2880(a,1,2))]. given #2733 (H,wt=23): 2808 (x * (y \ T(y,x))) \ (x * z) = x * ((x * (T(y,x) / y)) \ z). [para(2798(a,1),1965(a,1,1,2))]. given #2734 (H,wt=23): 2830 (x \ T(x,x / (x * y))) * x != z | T(x,R(1 / y,y,x)) = z. [para(2810(a,1),2803(a,1,1,2))]. given #2735 (H,wt=23): 2846 (x * ((x * (T(y,x) \ y)) \ x)) \ (x * x) = (T(y,x) \ y) * x. [para(2840(a,1),1702(a,1,1,2,1))]. given #2736 (H,wt=23): 2892 1 / (x * (T(y \ 1,x) \ (y \ 1))) = (y * T(y \ 1,x)) / x. [para(2638(a,1),2891(a,2,1))]. given #2737 (H,wt=23): 2893 (x * (y \ T(y,x))) \ (x * z) = x * ((x * (y \ T(y,x))) \ z). [para(2798(a,1),2808(a,2,2,1,2))]. given #2738 (H,wt=23): 2894 (x * ((x * (T(y,x) \ y)) \ x)) \ (x * x) = x * (T(y,x) \ y). [hyper(189,a,2840,a(flip),b,2846,a)]. given #2739 (H,wt=19): 2896 (x * (y \ T(y,x))) \ (x * x) = x * (T(y,x) \ y). [para(2881(a,1),2894(a,1,1,2))]. given #2740 (H,wt=15): 2897 (x * (y \ T(y,x))) \ x = T(y,x) \ y. [hyper(20,a,2893,a(flip),b,2896,a(flip)),flip(a)]. given #2741 (H,wt=24): 2805 R((x / y) \ T(x / y,z),x / y,y) = (T(x / y,z) * y) / x. [para(2798(a,1),391(a,1,1))]. given #2742 (H,wt=24): 2871 (x * (y \ 1)) / x != (y \ 1) * z | y * ((x * (y \ 1)) / x) = z. [para(2792(a,1),22(a,1))]. given #2743 (H,wt=24): 2884 L((1 / T(x,y)) * x,x \ 1,x) = ((1 / x) * (T(x,y) \ x)) * x. [para(2865(a,1),1907(a,1,1)),flip(a)]. given #2744 (H,wt=22): 2899 ((1 / x) * (T(x,y) \ x)) * x = L(T(x,y) \ x,x \ 1,x). [para(2743(a,1),2884(a,1,1)),flip(a)]. given #2745 (H,wt=24): 2898 R((x / y) \ T(x / y,z),x / y,y) = (y * T(y \ x,z)) / x. [para(323(a,1),2805(a,2,1))]. given #2746 (H,wt=25): 2734 (R(x,y,z) \ R(T(x,u),y,z)) \ 1 = T(R(x,y,z),u) \ R(x,y,z). [para(45(a,2),2732(a,1,1,2))]. given #2747 (H,wt=25): 2824 K(T(x,y) \ (T(x,y) / T(x,z)),T(x,y)) = T(x * T(x \ 1,x),z). [para(2821(a,1),1374(a,1,1,2)),flip(a)]. given #2748 (H,wt=23): 2901 K(T(1 / T(x,y),T(x,z)),T(x,z)) = T(x * T(x \ 1,x),y). [para(1022(a,1),2824(a,1,1))]. given #2749 (H,wt=21): 2902 K(T(1 / T(x,y),T(x,z)),T(x,z)) = T((x \ 1) * x,y). [para(113(a,1),2901(a,2,1))]. given #2750 (H,wt=19): 2903 K(T(1 / T(x,y),T(x,z)),T(x,z)) = K(x \ 1,x). [hyper(189,a,2476,a(flip),b,2902,a)]. given #2751 (H,wt=19): 2905 T(1 / T(x,y),T(x,z)) = K(x \ 1,x) / T(x,y). [para(2903(a,1),1096(a,1,1)),flip(a)]. given #2752 (H,wt=15): 2906 T(1 / T(x,y),T(x,z)) = T(x,y) \ 1. [hyper(189,a,2775,a(flip),b,2905,a)]. given #2753 (H,wt=15): 2909 K(T(x,y) \ 1,T(x,z)) = K(x \ 1,x). [para(2906(a,1),2903(a,1,1))]. given #2754 (H,wt=13): 2911 K(x \ 1,T(x,y)) = K(x \ 1,x). [para(112(a,1),2909(a,1,1,1))]. given #2755 (H,wt=18): 2907 K(x \ 1,x) / T(x,y) != z | T(x,y) \ 1 = z. [para(2905(a,1),307(a,1))]. given #2756 (H,wt=25): 2852 T(L(x \ 1,x,y) \ 1,y) \ (L(x \ 1,x,y) \ 1) = K(x,y) \ 1. [para(906(a,2),2737(a,1,1)),flip(a)]. given #2757 (H,wt=9): 2918 T(x,K(y,x) \ 1) = x. [para(2852(a,1),2838(a,1,2))]. given #2758 (H,wt=14): 2917 L(x \ 1,x,K(y,x) \ 1) = x \ 1. [para(2852(a,1),2832(a,1,3))]. given #2759 (H,wt=15): 2919 (K(x,y) \ 1) * y = y * (K(x,y) \ 1). [para(2918(a,1),113(a,1,2))]. given #2760 (H,wt=24): 2920 (x * (K(y,x) \ 1)) \ (K(y,x) \ 1) = L(x \ 1,x,K(y,x) \ 1). [para(2919(a,1),140(a,2,1)),flip(a)]. given #2761 (H,wt=17): 2921 (x * (K(y,x) \ 1)) \ (K(y,x) \ 1) = x \ 1. [hyper(189,a,2917,a(flip),b,2920,a)]. given #2762 (H,wt=25): 2853 T((x \ y) \ 1,z) \ ((x \ y) \ 1) = (x \ (y * T(y \ x,z))) \ 1. [para(1071(a,1),2737(a,1,1)),flip(a)]. given #2763 (H,wt=25): 2900 (R(x,y,z) \ R(T(x,u),y,z)) \ 1 = R(T(x,u),y,z) \ R(x,y,z). [para(45(a,2),2734(a,2,1))]. given #2764 (H,wt=25): 2923 R(T(x,x \ 1),y,z) \ R(x,y,z) = a(R(x,y,z),1 / x,x) \ 1. [para(742(a,1),2900(a,1,1)),flip(a)]. given #2765 (H,wt=26): 2779 R(T(x,y),x \ 1,x) * (((x \ 1) * x) * z) = ((x \ T(x,y)) * x) * z. [para(2777(a,1),2139(a,1,2)),flip(a)]. given #2766 (H,wt=25): 2924 T(T(x,x \ 1),y) * (((x \ 1) * x) * z) = ((x \ T(x,y)) * x) * z. [para(1138(a,1),2779(a,1,1))]. given #2767 (H,wt=25): 2925 T(T(x,x \ 1),y) * (K(x \ 1,x) * z) = ((x \ T(x,y)) * x) * z. [para(165(a,2),2924(a,1,2,1))]. given #2768 (H,wt=26): 2780 (x * (T(x,y) \ x)) \ ((T(x,y) \ x) * z) = L(x \ z,x,T(x,y) \ x). [para(2748(a,1),104(a,2,1)),flip(a)]. given #2769 (H,wt=26): 2806 R((1 / x) * ((y * x) / y),x,x \ y) = (1 / x) * ((y \ T(y,x)) * x). [para(2798(a,1),1227(a,2,2,1))]. given #2770 (H,wt=26): 2895 (x * (y \ T(y,x))) \ (x * z) != x * u | (x * (y \ T(y,x))) \ z = u. [para(2893(a,2),22(a,1))]. given #2771 (H,wt=26): 2926 R((1 / x) * ((y * x) / y),x,x \ y) = (1 / x) * (x * (y \ T(y,x))). [para(2767(a,1),2806(a,2,2))]. given #2772 (H,wt=25): 2927 R((1 / x) * ((y * x) / y),x,x \ y) = L(y \ T(y,x),x,1 / x). [hyper(189,a,169,a(flip),b,2926,a)]. given #2773 (H,wt=23): 2928 R(x \ ((y * x) / y),x,x \ y) = L(y \ T(y,x),x,1 / x). [para(2786(a,1),2927(a,1,1))]. given #2774 (H,wt=22): 2929 T(T(x,y) / (y * (y \ x)),y) = L(x \ T(x,y),y,1 / y). [hyper(189,a,1034,a(flip),b,2928,a(flip)),flip(a)]. given #2775 (H,wt=18): 2930 L(x \ T(x,y),y,1 / y) = T(T(x,y) / x,y). [para(17(a,1),2929(a,1,1,2)),flip(a)]. given #2776 (H,wt=18): 2931 L(x \ T(x,y),y,1 / y) = T(x \ T(x,y),y). [para(2798(a,1),2930(a,2,1))]. given #2777 (H,wt=16): 2932 L(x \ T(x,y),y,1 / y) = x \ T(x,y). [hyper(189,a,2766,a(flip),b,2931,a)]. given #2778 (H,wt=17): 2933 (x \ T(x,y)) / (y * (x \ T(x,y))) = 1 / y. [hyper(76,a,2932,a(flip),b,169,a)]. given #2779 (H,wt=14): 2934 R(1 / x,x,y \ T(y,x)) = 1 / x. [hyper(314,a,2933,a)]. given #2780 (H,wt=16): 2935 R(1 / x,x,y * T(y \ 1,x)) = 1 / x. [para(765(a,1),2934(a,1,3))]. given #2781 (H,wt=12): 2936 R(1 / x,x,K(y,x)) = 1 / x. [para(903(a,2),2935(a,1,3))]. given #2782 (H,wt=13): 2937 K(x,y) / (y * K(x,y)) = 1 / y. [hyper(610,a,2936,a)]. given #2783 (H,wt=13): 2938 (1 / x) \ K(y,x) = x * K(y,x). [para(2936(a,1),290(a,1,1))]. given #2784 (H,wt=17): 2939 (x \ 1) * K(y,x \ 1) = x \ K(y,x \ 1). [para(67(a,1),2938(a,1,1)),flip(a)]. given #2785 (H,wt=27): 2879 T(x,x \ ((((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)))) = T(x,x \ 1). [para(900(a,1),2878(a,1,2,2,2))]. given #2786 (H,wt=13): 2940 T(x,x \ K(y,x)) = T(x,x \ 1). [para(2669(a,1),2879(a,1,2,2))]. given #2787 (H,wt=15): 2941 K(x,y) / T(y,y \ 1) = y \ K(x,y). [para(2940(a,1),174(a,1,2))]. given #2788 (H,wt=17): 2942 (x \ K(y,x)) * K(x,x \ 1) = K(y,x) / x. [para(2941(a,1),2262(a,1,1))]. given #2789 (H,wt=17): 2943 K(x,y) * K(y,y \ 1) = y * (K(x,y) / y). [para(2942(a,1),2035(a,1,2)),flip(a)]. given #2790 (H,wt=19): 2944 (x \ 1) * (x * (K(y,x) / x)) = (1 / x) * K(y,x). [para(2943(a,1),2510(a,1,2))]. given #2791 (H,wt=18): 2945 L(K(x,y),y \ 1,y) / y = (1 / y) * K(x,y). [hyper(189,a,1909,a(flip),b,2944,a(flip)),flip(a)]. given #2792 (H,wt=29): 2419 K(x \ 1,x) * ((y * ((1 / x) * z)) / y) = (x \ 1) * (x * ((y * (x \ z)) / y)). [para(939(a,1),2405(a,1,2)),flip(a)]. given #2793 (H,wt=29): 2451 K(x \ 1,x) * R(K(x,x \ 1) * (y * x),z,u) = (x \ R(x * y,z,u)) * x. [para(2438(a,1),2023(a,1,2,1))]. given #2794 (H,wt=27): 2946 K(x \ 1,x) * R(y * T(x,x \ 1),z,u) = (x \ R(x * y,z,u)) * x. [para(2500(a,1),2451(a,1,2,1))]. given #2795 (H,wt=29): 2465 x * (T(T(x,y),z) * (T(x,x \ 1) \ u)) = T(T(x,y),z) * (K(x \ 1,x) * u). [para(2453(a,1),1698(a,1,2,2))]. given #2796 (H,wt=29): 2544 K(L(x,y,z) \ 1,L(x,y,z)) * (x / L(x,y,z)) = x * T(L(x,y,z) \ 1,x). [para(1269(a,1),2485(a,2,2))]. given #2797 (H,wt=29): 2548 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ (1 / (1 / x))) * y) * (1 / x). [para(213(a,1),2531(a,1,1)),flip(a)]. given #2798 (H,wt=29): 2557 L(x,y,z) * L(L(x,y,z) \ 1,x,x \ 1) = L(x * (1 / (1 / (x \ 1))),y,z). [para(2555(a,1),2158(a,1,2))]. given #2799 (H,wt=28): 2948 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(x * (1 / (1 / (x \ 1))),y,z). [para(2387(a,1),2557(a,1,2))]. given #2800 (H,wt=24): 2949 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(x * (1 / x),y,z). [para(67(a,1),2948(a,2,1,2,2))]. given #2801 (H,wt=24): 2950 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(K(x,x \ 1),y,z). [para(1535(a,2),2949(a,2,1))]. given #2802 (H,wt=29): 2668 ((x \ (x / (y \ 1))) * z) * K(y \ 1,y) = (1 / (1 / (x \ (x / (y \ 1))))) * z. [para(1538(a,1),2625(a,1,2))]. given #2803 (H,wt=29): 2708 L(K(x,x \ 1) * y,z,u) * K(x \ 1,x) = (x \ L(x * (y / x),z,u)) * x. [para(2512(a,1),2337(a,1,1,1))]. given #2804 (H,wt=29): 2951 ((x \ (x / (y \ 1))) * z) * K(y \ 1,y) = (1 / ((x \ (x / (1 / y))) \ 1)) * z. [para(2298(a,1),2668(a,2,1,2))]. given #2805 (H,wt=25): 2953 ((x \ (x / (y \ 1))) * z) * K(y \ 1,y) = (x \ (x / (1 / y))) * z. [hyper(189,a,126,a(flip),b,2951,a)]. given #2806 (H,wt=29): 2952 K(x \ 1,x) * L(K(x,x \ 1) * y,z,u) = (x \ L(x * (y / x),z,u)) * x. [hyper(2477,a,2708,a)]. given #2807 (H,wt=29): 2955 K(x \ 1,x) * L(y * K(x,x \ 1),z,u) = (x \ L(x * (y / x),z,u)) * x. [para(2502(a,1),2952(a,1,2,1))]. given #2808 (H,wt=30): 2694 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = R((x \ 1) * T(x,x \ 1),y,z). [para(2685(a,1),2141(a,2,1))]. given #2809 (H,wt=22): 2956 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = R(1,y,z). [para(145(a,1),2694(a,2,1))]. given #2810 (H,wt=19): 2957 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = 1. [hyper(189,a,268,a(flip),b,2956,a)]. given #2811 (H,wt=23): 2960 ((x \ R(x,y,z)) \ (x \ 1)) * (x \ R(x,y,z)) = (x \ 1) * 1. [para(2957(a,1),213(a,1,2)),flip(a)]. given #2812 (H,wt=21): 2961 (x \ 1) / (x \ R(x,y,z)) = (x \ R(x,y,z)) \ (x \ 1). [hyper(76,a,15,a(flip),b,2960,a)]. given #2813 (H,wt=17): 2962 (x \ R(x,y,z)) \ (x \ 1) = R(x,y,z) \ 1. [hyper(189,a,2227,a(flip),b,2961,a(flip))]. given #2814 (H,wt=19): 2963 (x \ 1) \ (R(x,y,z) \ 1) = (x \ R(x,y,z)) \ 1. [hyper(75,a,2962,a(flip),b,1937,a)]. given #2815 (H,wt=21): 2964 ((1 / x) \ R(1 / x,y,z)) \ x = R(1 / x,y,z) \ 1. [para(69(a,1),2962(a,1,2))]. given #2816 (H,wt=19): 2965 (x * R(x \ 1,y,z)) \ x = R(1 / x,y,z) \ 1. [para(857(a,1),2964(a,1,1))]. given #2817 (H,wt=21): 2966 R(1 / (1 / x),y,z) \ 1 = (R(x,y,z) / x) \ (1 / x). [para(915(a,1),2965(a,1,1)),flip(a)]. given #2818 (H,wt=30): 2855 R(K(x \ (x / ((y \ x) / T(x,y))),x),x \ 1,x) = ((1 / x) * (T(x,y) \ x)) * x. [para(2744(a,1),2277(a,1,1,2)),flip(a)]. given #2819 (H,wt=29): 2967 R(K(x \ (x / ((y \ x) / T(x,y))),x),x \ 1,x) = L(T(x,y) \ x,x \ 1,x). [hyper(189,a,2899,a(flip),b,2855,a)]. given #2820 (H,wt=21): 2968 R(T(x,y) \ x,x \ 1,x) = L(T(x,y) \ x,x \ 1,x). [para(2744(a,1),2967(a,1,1))]. given #2821 (H,wt=31): 2431 (x * K(y,y \ 1)) \ (x * ((1 / y) * z)) != u | L((y \ 1) * z,K(y,y \ 1),x) = u. [para(2420(a,1),355(a,1,2,2))]. given #2822 (H,wt=31): 2788 R(x,y,z) \ (((u / x) * R(x,y,z)) / (u / x)) = R(u / (u / x),y,z) / R(x,y,z). [para(678(a,1),2773(a,1,1)),flip(a)]. given #2823 (H,wt=27): 2969 R(x / (x / y),z,u) / R(y,z,u) = R(y,z,u) \ R(x / (x / y),z,u). [para(678(a,1),2788(a,1,2)),flip(a)]. given #2824 (H,wt=24): 2970 R(x,y,z) \ R(1 / (1 / x),y,z) = x * T(x \ 1,R(x,y,z)). [hyper(189,a,1367,a(flip),b,2969,a(flip))]. given #2825 (H,wt=32): 2408 ((x * K(y \ 1,y)) * ((1 / y) * z)) / ((y \ 1) * z) = R(x,K(y \ 1,y),(1 / y) * z). [para(2378(a,1),33(a,2,2)),flip(a)]. given #2826 (H,wt=32): 2509 L((x * K(y,y \ 1)) \ z,x * K(y,y \ 1),K(y \ 1,y)) = x \ (K(y \ 1,y) * z). [para(2481(a,1),104(a,2,1))]. given #2827 (H,wt=32): 2593 ((1 / x) \ y) \ (y * R(1 / (1 / x),x \ 1,(1 / x) \ y)) = K(y,((1 / x) \ y) / y). [para(2592(a,2),98(a,1,2,2))]. given #2828 (H,wt=32): 2890 T(x * L(x \ ((y * z) / y),x,x \ T(x,y)),y) = (x \ T(x,y)) * (x * (T(x,y) \ z)). [hyper(189,a,1921,a,b,2813,a(flip)),flip(a)]. given #2829 (H,wt=28): 2971 T(L((x * y) / x,z \ T(z,x),z),x) = (z \ T(z,x)) * (z * (T(z,x) \ y)). [para(2889(a,1),2890(a,1,1))]. given #2830 (H,wt=26): 2972 L(x \ (x * y),z \ T(z,x),z) = (z \ T(z,x)) * (z * (T(z,x) \ y)). [hyper(674,a,2971,a)]. given #2831 (H,wt=22): 2973 (x \ T(x,y)) * (x * (T(x,y) \ z)) = L(z,x \ T(x,y),x). [para(16(a,1),2972(a,1,1)),flip(a)]. given #2832 (H,wt=15): 2974 (x \ T(x,y)) \ x = x * (T(x,y) \ x). [hyper(75,a,2868,a(flip),b,2973,a)]. given #2833 (H,wt=20): 2975 (x \ T(x,y)) * T(y,T(x,y)) = L(y,x \ T(x,y),x). [para(1008(a,1),2973(a,1,2))]. given #2834 (H,wt=20): 2978 T(x,T(y,x)) * (y \ T(y,x)) = L(x,y \ T(y,x),y). [hyper(2768,a,2975,a)]. given #2835 (H,wt=22): 2977 x * (T(x,R(y,y \ 1,x)) \ x) = (y \ ((x * y) / x)) \ x. [para(2800(a,1),2974(a,1,1)),flip(a)]. given #2836 (H,wt=19): 2979 (x \ ((y * x) / y)) \ y = y * (((y * x) / y) \ x). [para(2874(a,1),2977(a,1,2)),flip(a)]. given #2837 (H,wt=21): 2980 x * (((x * T(y,x)) / x) \ T(y,x)) = (T(y,x) \ y) \ x. [para(143(a,1),2979(a,1,1,2)),flip(a)]. given #2838 (H,wt=15): 2981 (T(x,y) \ x) \ y = y * (x \ T(x,y)). [para(143(a,1),2980(a,1,2,1)),flip(a)]. given #2839 (H,wt=15): 2982 (T(x,y) \ x) * (y * (x \ T(x,y))) = y. [para(2981(a,1),17(a,1,2))]. given #2840 (H,wt=24): 2976 x * (T(x,R(y,x,(y * x) \ x)) \ x) = (x \ (x * K(x,y))) \ x. [para(1407(a,1),2974(a,1,1,2)),flip(a)]. given #2841 (H,wt=20): 2983 x * (T(x,R(y,x,(y * x) \ x)) \ x) = K(x,y) \ x. [para(16(a,1),2976(a,2,1))]. given #2842 (H,wt=13): 2985 x * (K(x,y) \ 1) = K(x,y) \ x. [para(2886(a,1),2983(a,1,2))]. given #2843 (H,wt=32): 2916 R(x \ T(x,y),K(x \ 1,x),z) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,T(x,y)) * z. [para(2911(a,1),816(a,1,1,2))]. given #2844 (H,wt=33): 2406 K((1 / T(x,y)) \ 1,1 / T(x,y)) * (((1 / T(x,y)) \ 1) \ z) = T(1 / (1 / x),y) \ z. [para(2097(a,1),2376(a,2,1))]. given #2845 (H,wt=29): 2987 K(T(x,y),T(x,y) \ 1) * (((1 / T(x,y)) \ 1) \ z) = T(1 / (1 / x),y) \ z. [para(1536(a,1),2406(a,1,1))]. given #2846 (H,wt=25): 2989 K(x,x \ 1) * (((1 / T(x,y)) \ 1) \ z) = T(1 / (1 / x),y) \ z. [para(2723(a,1),2987(a,1,1))]. given #2847 (H,wt=21): 2990 K(x,x \ 1) * (T(x,y) \ z) = T(1 / (1 / x),y) \ z. [para(69(a,1),2989(a,1,2,1))]. given #2848 (H,wt=21): 2992 (T(x,y) \ z) * K(x,x \ 1) = T(1 / (1 / x),y) \ z. [hyper(2520,a,2990,a)]. given #2849 (H,wt=25): 2994 (T(x \ 1,y) \ z) * K(x \ 1,x) = T(1 / (1 / (x \ 1)),y) \ z. [para(1538(a,1),2992(a,1,2))]. given #2850 (H,wt=21): 2995 (T(x \ 1,y) \ z) * K(x \ 1,x) = T(1 / x,y) \ z. [para(67(a,1),2994(a,2,1,1,2))]. given #2851 (H,wt=21): 2996 K(x \ 1,x) * (T(x \ 1,y) \ z) = T(1 / x,y) \ z. [hyper(2477,a,2995,a)]. given #2852 (H,wt=21): 2997 T(1 / x,y) \ (T(x \ 1,y) * z) = K(x \ 1,x) * z. [para(16(a,1),2996(a,1,2)),flip(a)]. given #2853 (H,wt=21): 2998 T(1 / x,y) * (K(x \ 1,x) * z) = T(x \ 1,y) * z. [para(2997(a,1),17(a,1,2))]. given #2854 (H,wt=23): 2999 T(1 / x,y) * ((1 / x) \ z) = T(x \ 1,y) * ((x \ 1) \ z). [para(2376(a,1),2998(a,1,2))]. given #2855 (H,wt=23): 3000 (1 / x) * (T(x \ 1,y) * ((x \ 1) \ z)) = T(1 / x,y) * z. [para(2999(a,1),974(a,1,2))]. given #2856 (H,wt=29): 3001 T(x \ 1,y) * ((x \ 1) \ (K(x,x \ 1) * z)) = T(1 / x,y) * ((x \ 1) \ z). [para(2426(a,1),2999(a,1,2)),flip(a)]. given #2857 (H,wt=27): 3002 T(x \ 1,y) * ((((x \ 1) \ 1) \ 1) \ z) = T(1 / x,y) * ((x \ 1) \ z). [para(2464(a,1),3001(a,1,2))]. given #2858 (H,wt=29): 3003 T(x \ 1,y) * (T(x \ 1,(x \ 1) \ 1) \ z) = T(1 / x,y) * ((x \ 1) \ z). [para(114(a,2),3002(a,1,2,1))]. given #2859 (H,wt=33): 2458 x * (T(T(x,x \ 1),y) * (T(x,x \ 1) \ z)) = K(x \ 1,x) * (T(T(x,x \ 1),y) * z). [para(974(a,1),2442(a,1,2)),flip(a)]. given #2860 (H,wt=31): 3004 T(T(x,x \ 1),y) * (K(x \ 1,x) * z) = K(x \ 1,x) * (T(T(x,x \ 1),y) * z). [hyper(189,a,2465,a(flip),b,2458,a(flip)),flip(a)]. given #2861 (H,wt=25): 3005 K(x \ 1,x) * (T(T(x,x \ 1),y) * z) = ((x \ T(x,y)) * x) * z. [hyper(189,a,2925,a(flip),b,3004,a(flip))]. given #2862 (H,wt=27): 3006 T(x,x \ 1) * (((x \ T(x,y)) * x) * z) = x * (T(T(x,x \ 1),y) * z). [para(3005(a,1),2454(a,1,2))]. given #2863 (H,wt=23): 3007 T(x,x \ 1) * (T(x,y) * z) = x * (T(T(x,x \ 1),y) * z). [para(2799(a,1),3006(a,1,2,1))]. given #2864 (H,wt=23): 3008 T(x,x \ 1) * (T(x,y) * z) = x * (T((x \ 1) \ 1,y) * z). [para(114(a,1),3007(a,2,2,1,1))]. given #2865 (H,wt=27): 3009 (1 / x) * (T(((1 / x) \ 1) \ 1,y) * z) = (x \ 1) * (T(1 / x,y) * z). [para(497(a,1),3008(a,1,1)),flip(a)]. given #2866 (H,wt=23): 3010 (1 / x) * (T(x \ 1,y) * z) = (x \ 1) * (T(1 / x,y) * z). [para(69(a,1),3009(a,1,2,1,1,1))]. given #2867 (H,wt=21): 3011 K(x \ 1,x) * (T(1 / x,y) * z) = T(x \ 1,y) * z. [hyper(20,a,2417,a,b,3010,a),flip(a)]. given #2868 (H,wt=23): 3012 (T(1 / x,y) * z) / (T(1 / x,y) * ((x \ 1) \ z)) = x \ 1. [hyper(76,a,3000,a(flip),b,3010,a(flip))]. given #2869 (H,wt=23): 3013 ((x \ 1) \ 1) * (T(x \ 1,y) * z) = x * (T(1 / x,y) * z). [para(3011(a,1),2455(a,1,2))]. given #2870 (H,wt=33): 2466 T(R(x,y,z),R(x,y,z) \ 1) \ ((x * y) * z) = K(R(x,y,z) \ 1,R(x,y,z)) * (y * z). [hyper(75,a,110,a(flip),b,2454,a)]. given #2871 (H,wt=33): 2827 (((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1)) \ (x \ 1) = (R(x,y,z) * (x \ 1)) / R(x,y,z). [para(867(a,1),2823(a,1,1,1,1))]. given #2872 (H,wt=31): 3014 (((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1)) \ (x \ 1) = (x \ R(x,y,z)) / R(x,y,z). [para(867(a,1),2827(a,2,1))]. given #2873 (H,wt=34): 2578 ((x * y) * z) * (((((x * y) * z) \ (y * z)) \ 1) \ 1) = ((R(x,y,z) \ 1) \ 1) \ ((x * y) * z). [para(33(a,2),2577(a,1,1,1,1)),flip(a)]. given #2874 (H,wt=34): 2700 (x * T(1 / x,y)) \ (((x \ 1) \ 1) * (T(x \ 1,y) * z)) = L(z,T(x \ 1,y),(x \ 1) \ 1). [para(2688(a,1),528(a,1,1))]. given #2875 (H,wt=30): 3015 (x * T(1 / x,y)) \ (x * (T(1 / x,y) * z)) = L(z,T(x \ 1,y),(x \ 1) \ 1). [para(3013(a,1),2700(a,1,2))]. given #2876 (H,wt=24): 3016 L(x,T(y \ 1,z),(y \ 1) \ 1) != u | L(x,T(1 / y,z),y) = u. [para(3015(a,1),355(a,1))]. given #2877 (H,wt=34): 2862 K(x,y) * (z * T(z \ L((y \ 1) \ z,y \ 1,y * K(x,y)),u)) = (K(x,y) * T(y,u)) * z. [para(2765(a,1),2229(a,2,1))]. given #2878 (H,wt=35): 2623 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(1463(a,1),2620(a,2,1,1))]. given #2879 (H,wt=29): 3017 K(T(x / y,T(y,x)) \ 1,T(x / y,T(y,x))) = K(x \ y,T(x / y,T(y,x))). [para(1030(a,1),2623(a,2,1))]. given #2880 (H,wt=25): 3018 K(T(x / y,T(y,x)) \ 1,T(x / y,T(y,x))) = K(x \ y,y \ x). [hyper(189,a,2008,a(flip),b,3017,a)]. given #2881 (H,wt=17): 3019 K((x / y) \ 1,x / y) = K(x \ y,y \ x). [hyper(189,a,2909,a(flip),b,3018,a(flip)),flip(a)]. given #2882 (H,wt=15): 3021 K(x / y,y / x) = K(y \ x,x \ y). [hyper(189,a,2342,a(flip),b,3019,a(flip)),flip(a)]. given #2883 (H,wt=17): 3022 K(x / y,(x / y) \ 1) = K(y \ x,x \ y). [hyper(2132,a,3021,a)]. given #2884 (H,wt=19): 3023 K(x \ y,y \ x) * (y / x) = ((y / x) \ 1) \ 1. [para(3022(a,1),1540(a,1,1))]. given #2885 (H,wt=35): 2712 ((x \ y) / y) * R(((x \ y) / y) \ (((x \ y) / y) * x),z,u) = R(x,z,u) / (((x \ y) / y) \ 1). [para(2711(a,1),1222(a,1,2,1,2))]. given #2886 (H,wt=23): 3025 R(x,y,z) / (((x \ u) / u) \ 1) = ((x \ u) / u) * R(x,y,z). [para(16(a,1),2712(a,1,2,1)),flip(a)]. given #2887 (H,wt=36): 2357 R(((x \ (x / (y \ 1))) * x) * K(y \ 1,y),y \ 1,y) = (x * ((y \ 1) * T((y \ 1) \ 1,x))) * y. [para(1167(a,1),2287(a,2,1))]. given #2888 (H,wt=30): 3027 R((x \ (x / (1 / y))) * x,y \ 1,y) = (x * ((y \ 1) * T((y \ 1) \ 1,x))) * y. [para(2953(a,1),2357(a,1,1))]. given #2889 (H,wt=24): 3028 R((x \ (x / (1 / y))) * x,y \ 1,y) = (x * (y \ T(y,x))) * y. [para(770(a,1),3027(a,2,1,2))]. given #2890 (H,wt=37): 2269 ((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(2263(a,1),378(a,1,1))]. given #2891 (H,wt=31): 3029 R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)) = ((x * y) * (1 / z)) / (y * (1 / z)). [para(2263(a,1),2269(a,1,2)),flip(a)]. given #2892 (H,wt=27): 3030 R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)) != u | R(x,y,1 / z) = u. [para(3029(a,2),385(a,1))]. given #2893 (H,wt=37): 2401 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(2400(a,1),2013(a,1,1)),flip(a)]. given #2894 (H,wt=30): 3031 R((1 / x) * T((1 / x) \ 1,y),K(x \ 1,x),z) = (1 / x) * T((1 / x) \ 1,y). [para(2400(a,1),2401(a,2,2,1,1))]. given #2895 (H,wt=24): 3032 R((1 / x) * T((1 / x) \ 1,y),K(x \ 1,x),z) = x \ T(x,y). [hyper(189,a,2801,a(flip),b,3031,a)]. given #2896 (H,wt=18): 3034 R(x \ T(x,y),K(x \ 1,x),z) = x \ T(x,y). [para(2801(a,1),3032(a,1,1))]. given #2897 (H,wt=25): 3035 (x \ T(x,y)) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,T(x,y)) * z. [para(3034(a,1),2916(a,1,1))]. given #2898 (H,wt=23): 3036 (x \ T(x,y)) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,x) * z. [para(2911(a,1),3035(a,2,1))]. given #2899 (H,wt=23): 3038 (x \ T(x,y)) * (K(x \ 1,x) * z) = ((x \ 1) * T(x,y)) * z. [para(3036(a,1),17(a,1,2))]. given #2900 (H,wt=23): 3040 (x \ T(x,y)) * (z * K(x \ 1,x)) = ((x \ 1) * T(x,y)) * z. [para(2475(a,1),3038(a,1,2))]. given #2901 (H,wt=37): 2409 ((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(2378(a,1),348(a,1,1))]. given #2902 (H,wt=31): 3041 L(L(x,y,1 / z),(1 / z) * y,K(z \ 1,z)) = ((z \ 1) * y) \ ((z \ 1) * (y * x)). [para(2378(a,1),2409(a,1,2)),flip(a)]. given #2903 (H,wt=27): 3042 L(L(x,y,1 / z),(1 / z) * y,K(z \ 1,z)) != u | L(x,y,z \ 1) = u. [para(3041(a,2),355(a,1))]. given #2904 (H,wt=38): 2515 (x * K(y,y \ 1)) \ ((T(x,K(y,y \ 1)) * z) * K(y,y \ 1)) = L(z,T(x,K(y,y \ 1)),K(y,y \ 1)). [hyper(75,a,2502,a(flip),b,353,a)]. given #2905 (H,wt=32): 3043 (x * K(y,y \ 1)) \ ((x * z) * K(y,y \ 1)) = L(z,T(x,K(y,y \ 1)),K(y,y \ 1)). [para(2513(a,1),2515(a,1,2,1,1))]. given #2906 (H,wt=38): 2828 (((L(x,y,y \ 1) * y) / y) \ ((1 / y) * (x * y))) * ((y * ((1 / y) * (x * y))) / y) = (1 / y) * (x * y). [para(2382(a,1),2826(a,1,1,1,1))]. given #2907 (H,wt=34): 3044 (L(x,y,y \ 1) \ ((1 / y) * (x * y))) * ((y * ((1 / y) * (x * y))) / y) = (1 / y) * (x * y). [para(18(a,1),2828(a,1,1,1))]. given #2908 (H,wt=37): 3046 x * ((y * ((1 / y) * (z * y))) / y) != (1 / y) * (z * y) | L(z,y,y \ 1) \ ((1 / y) * (z * y)) = x. [para(3044(a,1),23(a,1)),flip(a)]. given #2909 (H,wt=39): 2562 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(2385(a,2),1921(a,1,1))]. given #2910 (H,wt=32): 3047 T((x \ 1) * (x * ((y * z) / y)),y) = T(1 / x,y) * L(T(1 / x,y) \ z,x \ 1,x). [para(2560(a,1),2562(a,1,1))]. given #2911 (H,wt=39): 2836 R(x,y,z) \ T(R(x,y,z),R(x \ 1,(x \ 1) \ 1,R(x,y,z))) = (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)). [para(867(a,1),2800(a,2,2,1))]. given #2912 (H,wt=35): 3048 R(x,y,z) \ T(R(x,y,z),R(1 / x,x,R(x,y,z))) = (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)). [para(2696(a,1),2836(a,1,2))]. given #2913 (H,wt=35): 3049 R(x,y,z) \ R(T(x,R(1 / x,x,R(x,y,z))),y,z) = (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)). [para(45(a,2),3048(a,1,2))]. given #2914 (H,wt=29): 3050 (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) = R(x,y,z) \ R(T(x,x \ 1),y,z). [para(1749(a,1),3049(a,1,2,1)),flip(a)]. given #2915 (H,wt=25): 3051 (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) = a(R(x,y,z),1 / x,x). [hyper(189,a,742,a(flip),b,3050,a)]. given #2916 (H,wt=23): 3053 x * ((x \ R(x,y,z)) / R(x,y,z)) = a(R(x,y,z),1 / x,x). [hyper(2630,a,3051,a)]. given #2917 (H,wt=23): 3054 x * L(x \ 1,R(x,y,z),1 / x) = a(R(x,y,z),1 / x,x). [para(1671(a,2),3053(a,1,2))]. given #2918 (H,wt=28): 3055 R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = R(a(R(x,y,z),1 / x,x),y,z). [para(3054(a,1),2240(a,1,1)),flip(a)]. given #2919 (H,wt=39): 2883 x / ((((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x))) = x * (T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)). [para(900(a,1),2882(a,1,2,2))]. given #2920 (H,wt=25): 3056 x * (T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)) = x / K(y,x). [para(2669(a,1),2883(a,1,2)),flip(a)]. given #2921 (H,wt=23): 3058 x * (((x * y) \ (x * T(x \ (x * y),x))) \ 1) = x / K(y,x). [para(2853(a,1),3056(a,1,2))]. given #2922 (H,wt=19): 3059 x * (((x * y) \ (x * T(y,x))) \ 1) = x / K(y,x). [para(16(a,1),3058(a,1,2,1,2,2,1))]. given #2923 (H,wt=17): 3060 x * (((x * y) \ (y * x)) \ 1) = x / K(y,x). [para(113(a,1),3059(a,1,2,1,2))]. given #2924 (H,wt=13): 3061 x * (K(y,x) \ 1) = x / K(y,x). [para(29(a,2),3060(a,1,2,1))]. given #2925 (H,wt=13): 3062 x * (K(y,x) \ 1) = K(y,x) \ x. [hyper(189,a,2858,a(flip),b,3061,a)]. given #2926 (H,wt=13): 3063 x \ (K(y,x) \ x) = K(y,x) \ 1. [hyper(75,a,2858,a(flip),b,3061,a)]. given #2927 (H,wt=13): 3065 (K(x,y) \ 1) \ (K(x,y) \ y) = y. [hyper(75,a,3062,a(flip),b,2919,a)]. given #2928 (H,wt=13): 3069 (x * K(y,x)) \ x = K(y,x) \ 1. [hyper(75,a,3065,a(flip),b,656,a(flip))]. given #2929 (H,wt=15): 3068 (K(x,y) \ y) \ (K(x,y) \ 1) = y \ 1. [para(3062(a,1),2921(a,1,1))]. given #2930 (H,wt=15): 3071 (K(x,y) \ y) * (y \ 1) = K(x,y) \ 1. [para(3068(a,1),17(a,1,2))]. given #2931 (H,wt=16): 3066 K(x,y) \ y != y * z | K(x,y) \ 1 = z. [para(3062(a,1),22(a,1))]. given #2932 (H,wt=17): 3070 (K(x,y) \ 1) * T(y,z) = K(x,y) \ T(y,z). [para(3065(a,1),771(a,1,2,1))]. given #2933 (H,wt=20): 3064 x * (K(y,x) \ 1) != z * u | z \ (K(y,x) \ x) = u. [para(3061(a,2),2861(a,1))]. given #2934 (H,wt=21): 3073 K(x,y) \ T(y,y \ z) = (K(x,y) \ 1) * ((y \ z) \ z). [hyper(189,a,220,a(flip),b,3070,a(flip))]. given #2935 (H,wt=21): 3074 (K(x,y) \ 1) * ((y \ z) \ z) = K(x,y) \ ((y \ z) \ z). [hyper(189,a,318,a(flip),b,3073,a(flip))]. given #2936 (H,wt=22): 3072 R(K(x,y) \ y,y \ 1,y) = (K(x,y) \ 1) * ((y \ 1) \ 1). [para(3071(a,1),2271(a,1,1)),flip(a)]. given #2937 (H,wt=20): 3075 R(K(x,y) \ y,y \ 1,y) = K(x,y) \ ((y \ 1) \ 1). [hyper(189,a,3074,a(flip),b,3072,a)]. given #2938 (H,wt=24): 3067 R(x,K(y,x) \ 1,z) \ ((K(y,x) \ x) * z) = (K(y,x) \ 1) * z. [para(3062(a,1),133(a,1,2,1))]. given #2939 (H,wt=25): 3057 x * (T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)) = K(y,x) \ x. [hyper(189,a,2858,a(flip),b,3056,a)]. given #2940 (H,wt=25): 3077 (((x * y) \ x) * T(((x * y) \ x) \ 1,x)) / x = 1 / (K(y,x) \ x). [para(3057(a,1),2892(a,1,2)),flip(a)]. given #2941 (H,wt=13): 3078 1 / (K(x,y) \ y) = K(x,y) / y. [para(903(a,2),3077(a,1,1)),flip(a)]. given #2942 (H,wt=13): 3079 (K(x,y) / y) \ 1 = K(x,y) \ y. [para(3078(a,1),69(a,1,1))]. given #2943 (H,wt=27): 3076 x * (K(x,y) * (K(x,y) \ ((y \ 1) \ 1))) = (T(y,y \ 1) * x) * K(x,y). [para(3075(a,1),2026(a,1,2,2))]. given #2944 (H,wt=19): 3080 K(x,y) = (T(y,y \ 1) * x) \ (x * ((y \ 1) \ 1)). [hyper(432,a,3076,a),flip(a)]. given #2945 (H,wt=11): 3081 K(x,(y \ 1) \ 1) = K(x,y). [hyper(189,a,527,a(flip),b,3080,a),flip(a)]. given #2946 (H,wt=11): 3083 K(x,1 / y) = K(x,y \ 1). [para(69(a,1),3081(a,1,2,1)),flip(a)]. given #2947 (H,wt=11): 3084 K(x,1 / (1 / y)) = K(x,y). [para(134(a,1),3081(a,1,2)),flip(a)]. given #2948 (H,wt=19): 3090 K(x,((1 / y) \ z) / z) = K(x,((y \ 1) \ z) / z). [para(2707(a,1),3084(a,1,2))]. given #2949 (H,wt=21): 3086 ((x \ 1) \ 1) * K(y,(x \ 1) \ 1) = (x \ 1) \ K(y,x). [para(3081(a,1),2939(a,2,2))]. given #2950 (H,wt=22): 3088 x * ((x \ R(x,y,z)) / R(x,y,z)) = K(R(x,y,z),x \ 1). [hyper(189,a,1327,a,b,3083,a(flip)),flip(a)]. given #2951 (H,wt=18): 3092 a(R(x,y,z),1 / x,x) = K(R(x,y,z),x \ 1). [hyper(189,a,3053,a(flip),b,3088,a(flip)),flip(a)]. given #2952 (H,wt=23): 3093 R(K(R(x,y,z),x \ 1),y,z) = K(R(x,y,z),R(x,y,z) \ 1). [para(3088(a,1),2152(a,1,1))]. given #2953 (H,wt=25): 3085 (((x \ 1) \ 1) \ y) * ((x \ 1) \ 1) = y * K(((x \ 1) \ 1) \ y,x). [para(3081(a,1),213(a,1,2)),flip(a)]. given #2954 (H,wt=15): 3095 K(((x \ 1) \ 1) \ y,x) = K(x \ y,x). [hyper(2549,a,3085,a),flip(a)]. given #2955 (H,wt=19): 3096 K(x \ ((1 / x) \ y),x) = K(x \ ((x \ 1) \ y),x). [para(2435(a,1),3095(a,1,1))]. given #2956 (H,wt=23): 3097 ((1 / x) \ y) \ ((1 / x) \ T(y,x)) = K(x \ ((x \ 1) \ y),x). [hyper(189,a,781,a,b,3096,a(flip)),flip(a)]. given #2957 (H,wt=25): 3089 (x * ((1 / (1 / x)) * y)) \ ((x * y) * (1 / (1 / x))) = K(x * y,x). [hyper(189,a,1116,a,b,3084,a(flip)),flip(a)]. given #2958 (H,wt=27): 3094 R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = R(K(R(x,y,z),x \ 1),y,z). [para(3092(a,1),3055(a,2,1))]. given #2959 (H,wt=27): 3099 R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = K(R(x,y,z),R(x,y,z) \ 1). [hyper(189,a,3093,a(flip),b,3094,a)]. given #2960 (H,wt=17): 3100 (R(x,y,z) / x) \ (1 / x) = 1 / R(x,y,z). [hyper(20,a,1535,a(flip),b,3099,a)]. given #2961 (H,wt=17): 3101 R(1 / (1 / x),y,z) \ 1 = 1 / R(x,y,z). [hyper(189,a,2966,a,b,3100,a(flip)),flip(a)]. given #2962 (H,wt=17): 3103 1 / R(x \ 1,y,z) = R(1 / x,y,z) \ 1. [para(67(a,1),3101(a,1,1,1,2)),flip(a)]. given #2963 (H,wt=17): 3104 (R(1 / x,y,z) \ 1) \ 1 = R(x \ 1,y,z). [para(3103(a,1),69(a,1,1))]. given #2964 (H,wt=17): 3105 R((x \ 1) \ 1,y,z) = (R(x,y,z) \ 1) \ 1. [para(67(a,1),3104(a,1,1,1,1)),flip(a)]. given #2965 (H,wt=17): 3107 R(T(x,x \ 1),y,z) = (R(x,y,z) \ 1) \ 1. [hyper(189,a,835,a,b,3105,a(flip)),flip(a)]. given #2966 (H,wt=30): 3108 R(((x / y) \ 1) \ 1,y,z) * (y * z) = (y * z) * ((((y * z) \ (x * z)) \ 1) \ 1). [para(3105(a,2),2115(a,1,1))]. given #2967 (H,wt=27): 3109 (x * y) * ((((x * y) \ (z * y)) \ 1) \ 1) = ((((z / x) \ 1) \ 1) * x) * y. [hyper(204,a,3108,a),flip(a)]. given #2968 (H,wt=27): 3110 (x * y) * ((((x * y) \ (z * y)) \ 1) \ 1) = (x * (((x \ z) \ 1) \ 1)) * y. [para(2103(a,1),3109(a,2,1))]. given #2969 (H,wt=30): 3111 ((R(x,y,z) \ 1) \ 1) \ ((x * y) * z) = ((x * y) * ((((x * y) \ y) \ 1) \ 1)) * z. [hyper(189,a,2578,a(flip),b,3110,a(flip)),flip(a)]. given #2970 (H,wt=24): 3112 ((R(x,y,z) \ 1) \ 1) \ ((x * y) * z) = (K(x \ 1,x) * y) * z. [para(2833(a,1),3111(a,2,1))]. given #2971 (H,wt=27): 3113 ((R(x,y,z) \ 1) \ 1) \ ((x * y) * z) != u * z | K(x \ 1,x) * y = u. [para(3112(a,2),23(a,1))]. given #2972 (H,wt=32): 3091 ((1 / x) \ y) \ (y * R(1 / (1 / x),x \ 1,(1 / x) \ y)) = K(y,((x \ 1) \ y) / y). [hyper(189,a,2593,a,b,3090,a(flip)),flip(a)]. given #2973 (H,wt=37): 3098 (x * (y * (1 / (1 / x)))) \ ((x * T(y,1 / (1 / x))) * (1 / (1 / x))) = K(x * T(y,1 / (1 / x)),x). [para(113(a,1),3089(a,1,1,2))]. given #2974 (H,wt=33): 3114 (x * (y * (1 / (1 / x)))) \ ((x * T(y,x)) * (1 / (1 / x))) = K(x * T(y,1 / (1 / x)),x). [para(2674(a,1),3098(a,1,2,1,2))]. given #2975 (H,wt=31): 3115 (x * (y * (1 / (1 / x)))) \ ((y * x) * (1 / (1 / x))) = K(x * T(y,1 / (1 / x)),x). [para(113(a,1),3114(a,1,2,1))]. given #2976 (H,wt=27): 3116 (x * (y * (1 / (1 / x)))) \ ((y * x) * (1 / (1 / x))) = K(x * T(y,x),x). [para(2674(a,1),3115(a,2,1,2))]. given #2977 (H,wt=25): 3117 (x * (y * (1 / (1 / x)))) \ ((y * x) * (1 / (1 / x))) = K(y * x,x). [para(113(a,1),3116(a,2,1))]. given #2978 (H,wt=16): 3118 K(x * L(y,y \ 1,y),y) = K(x * y,y). [hyper(189,a,1929,a(flip),b,3117,a(flip)),flip(a)]. given #2979 (H,wt=15): 3119 K(x * (1 / (1 / y)),y) = K(x * y,y). [para(472(a,1),3118(a,1,1,2))]. given #2980 (H,wt=19): 3120 K((1 / (1 / x)) * (x \ y),x) = K((y / x) * x,x). [para(2691(a,2),3119(a,1,1))]. given #2981 (H,wt=15): 3121 K((1 / (1 / x)) * (x \ y),x) = K(y,x). [para(19(a,1),3120(a,2,1))]. given #2982 (H,wt=13): 3122 K(K(x \ 1,x) * y,x) = K(y,x). [para(2460(a,1),3121(a,1,1))]. given #2983 (H,wt=15): 3123 K(x * (1 / y),y) = K(x * (y \ 1),y). [para(2446(a,1),3122(a,1,1)),flip(a)]. given #2984 (H,wt=40): 2695 (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(2686(a,2),447(a,2,1))]. given #2985 (H,wt=38): 3124 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(632(a,1),2695(a,1,1))]. given #2986 (H,wt=36): 3125 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(632(a,1),3124(a,1,2,3))]. given #2987 (H,wt=30): 3126 T(((x \ 1) \ 1) * T(y,x),T(x,x \ 1) \ 1) = T(x \ 1,x) \ R(y,x,x \ 1). [para(2603(a,1),3125(a,1,2)),flip(a)]. given #2988 (H,wt=28): 3127 T(x * T(y,y \ 1),T(y,y \ 1) \ 1) = T(y \ 1,y) \ R(x,y,y \ 1). [para(2686(a,1),3126(a,1,1))]. given #2989 (H,wt=26): 3128 T(x * T(y,y \ 1),T(y \ 1,y)) = T(y \ 1,y) \ R(x,y,y \ 1). [para(632(a,1),3127(a,1,2))]. given #2990 (H,wt=24): 3130 T(x \ 1,x) \ R(y,x,x \ 1) = T(y * T(x,x \ 1),x \ 1). [hyper(189,a,2675,a(flip),b,3128,a(flip))]. given #2991 (H,wt=23): 3131 T(x \ 1,x) \ R(y,x,x \ 1) = R((x \ 1) \ y,1 / x,x). [hyper(189,a,2703,a(flip),b,3130,a)]. given #2992 (H,wt=23): 3132 T(x \ 1,x) \ R(y,x,x \ 1) = R((x \ 1) \ y,x \ 1,x). [hyper(189,a,2275,a(flip),b,3131,a)]. given #2993 (H,wt=30): 3129 T(x \ 1,x) \ R(T(x,y) \ 1,x,x \ 1) = T(T(x,y) \ x,T(x,x \ 1) \ 1). [para(2540(a,1),3127(a,1,1)),flip(a)]. given #2994 (H,wt=28): 3133 R((x \ 1) \ (T(x,y) \ 1),x \ 1,x) = T(T(x,y) \ x,T(x,x \ 1) \ 1). [hyper(189,a,3132,a(flip),b,3129,a(flip)),flip(a)]. given #2995 (H,wt=26): 3134 R((x \ 1) \ (T(x,y) \ 1),x \ 1,x) = T(T(x,y) \ x,T(x \ 1,x)). [para(632(a,1),3133(a,2,2))]. given #2996 (H,wt=24): 3135 R((x \ 1) \ (T(x,y) \ 1),x \ 1,x) = T(T(x,y) \ x,x \ 1). [hyper(189,a,2675,a(flip),b,3134,a)]. given #2997 (H,wt=20): 3136 R((x \ 1) \ (T(x,y) \ 1),x \ 1,x) = T(x,y) \ x. [hyper(189,a,2856,a(flip),b,3135,a)]. given #2998 (H,wt=16): 3137 R(T(x,y) \ x,x \ 1,x) = T(x,y) \ x. [para(2733(a,1),3136(a,1,1))]. given #2999 (H,wt=16): 3138 L(T(x,y) \ x,x \ 1,x) = T(x,y) \ x. [hyper(189,a,2968,a(flip),b,3137,a(flip)),flip(a)]. given #3000 (H,wt=23): 3139 L(T(x,y) \ x,T(x,y),y) = L((x * y) \ (y * x),x \ 1,x). [para(3138(a,1),717(a,1,1))]. given #3001 (H,wt=20): 3140 L((x * y) \ (y * x),x \ 1,x) = (x * y) \ (y * x). [hyper(189,a,365,a(flip),b,3139,a(flip))]. given #3002 (H,wt=16): 3141 K(x,y) = L((y * x) \ (x * y),y \ 1,y). [hyper(189,a,29,a,b,3140,a),flip(a)]. given #3003 (H,wt=12): 3142 L(K(x,y),y \ 1,y) = K(x,y). [para(29(a,2),3141(a,2,1)),flip(a)]. given #3004 (H,wt=13): 3143 (1 / x) * K(y,x) = K(y,x) / x. [para(3142(a,1),2945(a,1,1)),flip(a)]. given #3005 (H,wt=16): 3144 K(x,y) / y != (1 / y) * z | K(x,y) = z. [para(3143(a,1),22(a,1))]. given #3006 (H,wt=40): 2947 R((x \ (1 / (1 / y))) * x,1 / y,(1 / y) \ 1) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). [hyper(189,a,373,a,b,2548,a),flip(a)]. given #3007 (H,wt=36): 3145 R((x \ (1 / (1 / y))) * x,1 / y,y) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). [para(69(a,1),2947(a,1,1,3))]. given #3008 (H,wt=36): 3146 R((x \ (1 / (1 / y))) * x,y \ 1,y) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). [para(2275(a,1),3145(a,1,1))]. given #3009 (H,wt=42): 3024 K(((x * y) * z) \ (y * z),R(T(x,y * z),y,z)) * ((y * z) / ((x * y) * z)) = (((y * z) / ((x * y) * z)) \ 1) \ 1. [para(507(a,1),3023(a,1,1,2))]. given #3010 (H,wt=42): 3026 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(3025(a,1),901(a,1,1,2))]. given #3011 (H,wt=32): 3147 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(19(a,1),3026(a,1,1,2))]. given #3012 (H,wt=24): 3149 ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1) = K(x \ 1,R(x,y,z)). [para(868(a,1),3147(a,1,1)),flip(a)]. given #3013 (H,wt=24): 3151 K(x \ 1,R(x,y,z)) \ (x \ 1) = (x \ R(x,y,z)) / R(x,y,z). [para(3149(a,1),3014(a,1,1))]. given #3014 (H,wt=26): 3152 (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) = K(x \ 1,R(x,y,z)) \ 1. [hyper(75,a,3151,a(flip),b,2985,a)]. given #3015 (H,wt=24): 3153 x * ((x \ R(x,y,z)) / R(x,y,z)) = K(x \ 1,R(x,y,z)) \ 1. [hyper(2630,a,3152,a)]. given #3016 (H,wt=19): 3154 K(x \ 1,R(x,y,z)) \ 1 = K(R(x,y,z),x \ 1). [hyper(189,a,3088,a(flip),b,3153,a(flip))]. given #3017 (H,wt=19): 3155 K(R(x,y,z),x \ 1) \ 1 = K(x \ 1,R(x,y,z)). [para(3154(a,1),2003(a,1,1))]. given #3018 (H,wt=20): 3156 a(R(x,y,z),1 / x,x) \ 1 = K(x \ 1,R(x,y,z)). [para(3092(a,2),3155(a,1,1))]. given #3019 (H,wt=22): 3157 R(T(x,x \ 1),y,z) \ R(x,y,z) = K(x \ 1,R(x,y,z)). [hyper(189,a,2923,a,b,3156,a(flip)),flip(a)]. given #3020 (H,wt=19): 3158 x * T(x \ 1,R(x,y,z)) = K(x \ 1,R(x,y,z)). [hyper(2715,a,3157,a)]. given #3021 (H,wt=22): 3159 R(x,y,z) \ R(1 / (1 / x),y,z) = K(x \ 1,R(x,y,z)). [hyper(189,a,2970,a,b,3158,a(flip)),flip(a)]. given #3022 (H,wt=26): 3161 (R(1 / (1 / x),y,z) \ 1) \ (R(x,y,z) \ 1) = K(x \ 1,R(x,y,z)). [hyper(189,a,2178,a,b,3159,a(flip)),flip(a)]. given #3023 (H,wt=22): 3162 (1 / R(x,y,z)) \ (R(x,y,z) \ 1) = K(x \ 1,R(x,y,z)). [para(3101(a,1),3161(a,1,1))]. given #3024 (H,wt=20): 3163 K(R(x,y,z) \ 1,R(x,y,z)) = K(x \ 1,R(x,y,z)). [hyper(1201,a,3162,a)]. given #3025 (H,wt=22): 3165 R(x,y,z) * (1 / R(x,y,z)) = K(x \ 1,R(x,y,z)) \ 1. [para(3163(a,1),1545(a,1,1)),flip(a)]. given #3026 (H,wt=20): 3166 R(x,y,z) * (1 / R(x,y,z)) = K(R(x,y,z),x \ 1). [hyper(189,a,3154,a(flip),b,3165,a)]. given #3027 (H,wt=23): 3164 K(x \ 1,R(x,y,z)) != u | K(R(x,y,z) \ 1,R(x,y,z)) = u. [para(3162(a,1),1201(a,1))]. given #3028 (H,wt=28): 3160 K(R(x,y,z) \ 1,R(x,y,z)) * (y * z) = (K(x \ 1,R(x,y,z)) * y) * z. [para(3158(a,1),2016(a,2,1,1))]. given #3029 (H,wt=25): 3168 (K(x \ 1,R(x,y,z)) * y) * z = K(x \ 1,R(x,y,z)) * (y * z). [para(3163(a,1),3160(a,1,1)),flip(a)]. given #3030 (H,wt=13): 3169 L(x,y,K(z \ 1,R(z,y,x))) = x. [hyper(346,a,3168,a)]. given #3031 (H,wt=30): 3167 T(R(x,y,z),R(x,y,z) \ 1) \ ((x * y) * z) = (K(x \ 1,R(x,y,z)) * y) * z. [hyper(189,a,2466,a,b,3160,a(flip)),flip(a)]. given #3032 (H,wt=27): 3170 ((R(x,y,z) \ 1) \ 1) \ ((x * y) * z) = (K(x \ 1,R(x,y,z)) * y) * z. [hyper(189,a,523,a(flip),b,3167,a(flip)),flip(a)]. given #3033 (H,wt=18): 3171 K(x \ 1,R(x,y,z)) * y = K(x \ 1,x) * y. [hyper(3113,a,3170,a),flip(a)]. given #3034 (H,wt=14): 3172 K(x \ 1,R(x,y,z)) = K(x \ 1,x). [hyper(23,a,3171,a)]. given #3035 (H,wt=10): 3178 L(x,y,K(z \ 1,z)) = x. [para(3172(a,1),3169(a,1,3))]. given #3036 (H,wt=10): 3186 L(x,y,K(z,z \ 1)) = x. [para(1536(a,1),3178(a,1,3))]. given #3037 (H,wt=13): 3179 L(x,y,1 / z) = L(x,y,z \ 1). [hyper(3042,a,3178,a),flip(a)]. given #3038 (H,wt=13): 3199 L(x,y,(z \ 1) \ 1) = L(x,y,z). [para(67(a,1),3179(a,1,3)),flip(a)]. given #3039 (H,wt=14): 3190 L(x,y,K(z,z \ 1)) = u \ (u * x). [hyper(189,a,16,a,b,3186,a)]. given #3040 (H,wt=13): 3201 L(x,y,K(z,z \ 1)) != u | u = x. [para(3190(a,2),237(a,1))]. given #3041 (H,wt=17): 3174 K(R(x,y,z) \ 1,R(x,y,z)) = K(x \ 1,x). [hyper(3164,a,3172,a)]. given #3042 (H,wt=17): 3182 (x * K(y \ 1,y)) \ K(y \ 1,y) = x \ 1. [hyper(189,a,2491,a(flip),b,3178,a(flip)),flip(a)]. given #3043 (H,wt=17): 3194 K(x,x \ 1) * (1 / y) = K(x,x \ 1) / y. [para(3186(a,1),311(a,1,2)),flip(a)]. given #3044 (H,wt=17): 3196 ((x \ 1) \ 1) / (y \ x) = K(x,x \ 1) * y. [para(3186(a,1),1558(a,1,2))]. given #3045 (H,wt=17): 3197 K(x,x \ 1) * ((x \ 1) / y) = (1 / x) / y. [para(3186(a,1),1574(a,1,2)),flip(a)]. given #3046 (H,wt=17): 3200 L(x,T(1 / y,z),y) = L(x,T(y \ 1,z),y). [hyper(3016,a,3199,a)]. given #3047 (H,wt=17): 3205 (x * K(y,y \ 1)) \ 1 = x \ K(y \ 1,y). [para(2322(a,1),3182(a,1,1)),flip(a)]. given #3048 (H,wt=17): 3207 ((x \ 1) \ 1) / (y \ x) = y * K(x,x \ 1). [hyper(189,a,2502,a(flip),b,3196,a)]. given #3049 (H,wt=17): 3209 ((x \ 1) / y) * K(x,x \ 1) = (1 / x) / y. [hyper(2520,a,3197,a)]. given #3050 (H,wt=17): 3211 (x / y) * K(x,x \ 1) = ((x \ 1) \ 1) / y. [para(69(a,1),3207(a,1,2)),flip(a)]. given #3051 (H,wt=17): 3212 (1 / x) / (y \ (x \ 1)) = y * K(x,x \ 1). [hyper(456,a,3209,a),flip(a)]. given #3052 (H,wt=17): 3214 (x * K(y,y \ 1)) \ (1 / y) = x \ (y \ 1). [para(3212(a,1),69(a,1,1))]. given #3053 (H,wt=19): 3181 (x * K(y,y \ 1)) \ z = x \ (K(y \ 1,y) * z). [hyper(189,a,2509,a(flip),b,3178,a(flip))]. given #3054 (H,wt=19): 3183 (K(x \ 1,x) * y) \ (K(x \ 1,x) * z) = y \ z. [hyper(189,a,104,a(flip),b,3178,a(flip)),flip(a)]. given #3055 (H,wt=19): 3184 (K(x \ 1,x) * y) * z = K(x \ 1,x) * (y * z). [para(3178(a,1),102(a,1,2))]. given #3056 (H,wt=19): 3185 (K(x \ 1,x) * y) / z = K(x \ 1,x) * (y / z). [para(3178(a,1),398(a,1,2))]. given #3057 (H,wt=17): 3225 K(x \ 1,x) * (x / y) = (1 / (1 / x)) / y. [para(1145(a,1),3185(a,1,1)),flip(a)]. given #3058 (H,wt=19): 3187 (x * K(y \ 1,y)) * z = K(y \ 1,y) * (x * z). [para(3178(a,1),2492(a,1,2))]. given #3059 (H,wt=19): 3191 (x * K(y,y \ 1)) \ ((x * z) * K(y,y \ 1)) = z. [hyper(189,a,3043,a,b,3186,a(flip)),flip(a)]. given #3060 (H,wt=19): 3192 (K(x,x \ 1) * y) \ (K(x,x \ 1) * z) = y \ z. [hyper(189,a,104,a(flip),b,3186,a(flip)),flip(a)]. given #3061 (H,wt=19): 3193 (K(x,x \ 1) * y) * z = K(x,x \ 1) * (y * z). [para(3186(a,1),102(a,1,2))]. given #3062 (H,wt=14): 3236 R(K(x,x \ 1),y,z) = K(x,x \ 1). [hyper(376,a,3193,a)]. given #3063 (H,wt=19): 3195 (K(x,x \ 1) * y) / z = K(x,x \ 1) * (y / z). [para(3186(a,1),398(a,1,2))]. given #3064 (H,wt=19): 3216 (K(x,x \ 1) * y) \ z = y \ (K(x \ 1,x) * z). [para(2502(a,2),3181(a,1,1))]. given #3065 (H,wt=19): 3218 (K(x \ 1,x) * y) \ z = y \ (z * K(x,x \ 1)). [para(2481(a,1),3183(a,1,2))]. given #3066 (H,wt=19): 3227 (x * K(y \ 1,y)) * z = (x * z) * K(y \ 1,y). [hyper(189,a,2475,a(flip),b,3187,a)]. given #3067 (H,wt=19): 3234 (x * K(y \ 1,y)) \ z = x \ (K(y,y \ 1) * z). [para(2480(a,1),3192(a,1,1)),flip(a)]. given #3068 (H,wt=17): 3246 (x * K(y \ 1,y)) \ 1 = x \ K(y,y \ 1). [para(15(a,1),3234(a,2,2))]. given #3069 (H,wt=19): 3239 (x * K(y,y \ 1)) * z = K(y,y \ 1) * (x * z). [para(2502(a,1),3193(a,1,1))]. given #3070 (H,wt=19): 3241 (x * K(y,y \ 1)) / z = K(y,y \ 1) * (x / z). [para(2502(a,1),3195(a,1,1))]. given #3071 (H,wt=19): 3244 (x * K(y \ 1,y)) \ (z * K(y \ 1,y)) = x \ z. [hyper(75,a,91,a(flip),b,3227,a)]. given #3072 (H,wt=20): 3206 K(x,x \ 1) / y != z | (1 / y) * K(x,x \ 1) = z. [para(3194(a,1),2520(a,1))]. given #3073 (H,wt=20): 3232 R(T(x,y * K(z,z \ 1)),y,K(z,z \ 1)) = T(x,y). [para(3191(a,1),832(a,1,1)),flip(a)]. given #3074 (H,wt=21): 3176 (x \ R(x,y,z)) * K(x \ 1,x) = (x \ 1) * R(x,y,z). [para(3172(a,1),871(a,1,2))]. given #3075 (H,wt=15): 3250 (1 / x) * R(x,y,z) = x \ R(x,y,z). [hyper(21,a,2489,a,b,3176,a),flip(a)]. given #3076 (H,wt=13): 3252 R(x,y,z) / x = x \ R(x,y,z). [hyper(881,a,3250,a)]. given #3077 (H,wt=13): 3253 (x \ R(x,y,z)) * x = R(x,y,z). [para(3250(a,1),869(a,1,1))]. given #3078 (H,wt=10): 3255 T(x,x \ R(x,y,z)) = x. [hyper(227,a,3253,a)]. given #3079 (H,wt=21): 3221 K(x \ 1,x) * ((x \ y) * z) = (((x \ 1) \ 1) \ y) * z. [para(2445(a,1),3184(a,1,1)),flip(a)]. given #3080 (H,wt=21): 3222 K(x \ 1,x) * ((y / (x \ 1)) * z) = (y / (1 / x)) * z. [para(2484(a,1),3184(a,1,1)),flip(a)]. given #3081 (H,wt=20): 3256 (x / (1 / y)) * K(y,y \ 1) != z | x / (y \ 1) = z. [para(3222(a,1),2495(a,1)),flip(b)]. given #3082 (H,wt=17): 3257 x * y != z | R(x,y,y \ 1) / (y \ 1) = z. [para(2339(a,1),3256(a,1))]. given #3083 (H,wt=21): 3224 T(K(x \ 1,x) * (y / z),z) = z \ (K(x \ 1,x) * y). [para(3185(a,1),115(a,1,1))]. given #3084 (H,wt=21): 3226 (1 / (1 / x)) / T(y,y \ x) = K(x \ 1,x) * (y \ x). [para(174(a,1),3225(a,1,2)),flip(a)]. given #3085 (H,wt=21): 3235 (x * y) \ (K(y,y \ 1) * z) = (x * (1 / (1 / y))) \ z. [para(2610(a,1),3192(a,1,1))]. given #3086 (H,wt=21): 3237 x \ (K(y,y \ 1) * (z * x)) = T(K(y,y \ 1) * z,x). [hyper(147,a,3193,a,b,17,a),flip(a)]. given #3087 (H,wt=21): 3240 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = K(x,x \ 1). [hyper(189,a,2239,a,b,3236,a(flip)),flip(a)]. given #3088 (H,wt=22): 3245 (x * K(y \ 1,y)) * z != u | K(y \ 1,y) * (x * z) = u. [para(3227(a,2),2477(a,1))]. given #3089 (H,wt=23): 3249 T(x,x \ y) = ((x \ y) * K(z \ 1,z)) \ (y * K(z \ 1,z)). [hyper(189,a,114,a,b,3244,a),flip(a)]. given #3090 (H,wt=23): 3254 R(x \ R(x,y,z),x,y * z) = ((x * y) * z) / (x * (y * z)). [para(3252(a,1),396(a,1,1))]. given #3091 (H,wt=23): 3259 (x * (1 / (1 / y))) \ (y * z) = (x * y) \ (((y \ 1) \ 1) * z). [para(2365(a,1),3235(a,1,2)),flip(a)]. given #3092 (H,wt=24): 3238 K(x,x \ 1) * (y * z) != z * u | T(K(x,x \ 1) * y,z) = u. [para(3193(a,1),148(a,2)),flip(a)]. given #3093 (H,wt=24): 3262 K(x,x \ 1) != R(x,y,z) * u | (1 / x) * (R(x,y,z) \ x) = u. [para(3240(a,1),22(a,1))]. given #3094 (H,wt=25): 3198 L(x,y,y \ 1) \ ((1 / y) * (x * y)) = L(K(x,y),y * x,y \ 1). [hyper(189,a,2386,a,b,3179,a(flip)),flip(a)]. given #3095 (H,wt=25): 3260 T(x,y) \ (K(z,z \ 1) * (x * y)) = T(K(z,z \ 1) * y,T(x,y)). [para(113(a,1),3237(a,1,2,2))]. given #3096 (H,wt=26): 3210 L(T(1 / x,y) \ z,T(x \ 1,y),x) = (x * T(1 / x,y)) \ (x * z). [hyper(189,a,104,a(flip),b,3200,a(flip))]. given #3097 (H,wt=26): 3220 ((K(x \ 1,x) * (y * z)) * u) / (z * u) = R(K(x \ 1,x) * y,z,u). [para(3184(a,1),33(a,2,1,1)),flip(a)]. given #3098 (H,wt=26): 3242 R(K(x,x \ 1) * (y / z),z,K(x \ 1,x)) = y / (z * K(x \ 1,x)). [para(3195(a,1),2503(a,1,1))]. given #3099 (H,wt=26): 3247 (K(x,x \ 1) * (y * z)) / (K(x,x \ 1) * z) = R(y,K(x,x \ 1),z). [hyper(76,a,3239,a(flip),b,110,a)]. given #3100 (H,wt=26): 3263 (K(x \ 1,x) * ((y * z) * u)) / (z * u) = R(K(x \ 1,x) * y,z,u). [para(3184(a,1),3220(a,1,1))]. given #3101 (H,wt=26): 3264 K(x,x \ 1) * ((y * z) / (K(x,x \ 1) * z)) = R(y,K(x,x \ 1),z). [hyper(189,a,3195,a(flip),b,3247,a(flip)),flip(a)]. given #3102 (H,wt=26): 3265 K(x \ 1,x) * (((y * z) * u) / (z * u)) = R(K(x \ 1,x) * y,z,u). [hyper(189,a,3185,a(flip),b,3263,a(flip)),flip(a)]. given #3103 (H,wt=21): 3266 R(K(x \ 1,x) * y,z,u) = K(x \ 1,x) * R(y,z,u). [para(33(a,2),3265(a,1,2)),flip(a)]. given #3104 (H,wt=27): 3267 R(K(x \ 1,x) * (y * T(x,x \ 1)),z,u) = (x \ R(x * y,z,u)) * x. [hyper(189,a,2946,a(flip),b,3266,a)]. given #3105 (H,wt=17): 3268 (x \ R(x * y,z,u)) * x = R(y * x,z,u). [para(2482(a,1),3267(a,1,1)),flip(a)]. given #3106 (H,wt=17): 3269 R(x * y,z,u) / y = y \ R(y * x,z,u). [hyper(88,a,3268,a)]. given #3107 (H,wt=17): 3270 R((x \ y) * x,z,u) = (x \ R(y,z,u)) * x. [para(17(a,1),3268(a,1,1,2,1)),flip(a)]. given #3108 (H,wt=17): 3271 x \ R(x * (y / x),z,u) = R(y,z,u) / x. [para(19(a,1),3269(a,1,1,1)),flip(a)]. given #3109 (H,wt=17): 3274 R(x * (y / x),z,u) = x * (R(y,z,u) / x). [para(3271(a,1),17(a,1,2)),flip(a)]. given #3110 (H,wt=22): 3272 R((x \ (y / z)) * x,z,z \ 1) = (x \ (y * (z \ 1))) * x. [para(445(a,1),3270(a,2,1,2))]. given #3111 (H,wt=22): 3273 R((x \ (y / (1 / z))) * x,z \ 1,z) = (x \ (y * z)) * x. [para(2276(a,1),3270(a,2,1,2))]. given #3112 (H,wt=17): 3277 (x \ (x * y)) * x = (x * (y \ T(y,x))) * y. [hyper(189,a,3028,a(flip),b,3273,a(flip))]. given #3113 (H,wt=13): 3279 (x * (y \ T(y,x))) * y = y * x. [para(16(a,1),3277(a,1,1)),flip(a)]. given #3114 (H,wt=13): 3280 x * (y \ T(y,x)) = (y * x) / y. [hyper(88,a,3279,a),flip(a)]. given #3115 (H,wt=13): 3282 x \ ((y * x) / y) = y \ T(y,x). [hyper(80,a,3280,a)]. given #3116 (H,wt=13): 3284 T(x,y) \ x = y \ T(y,T(x,y)). [hyper(75,a,143,a(flip),b,3280,a)]. given #3117 (H,wt=13): 3286 ((x * y) / x) / y = x \ T(x,y). [hyper(20,a,2787,a,b,3280,a),flip(a)]. given #3118 (H,wt=13): 3290 ((x * y) / x) \ y = T(x,y) \ x. [para(3280(a,1),2897(a,1,1))]. given #3119 (H,wt=13): 3291 (T(x,y) \ x) * ((x * y) / x) = y. [para(3280(a,1),2982(a,1,2))]. given #3120 (H,wt=13): 3298 T(x,T(y,x)) \ x = y \ T(y,x). [para(143(a,1),3290(a,1,1)),flip(a)]. given #3121 (H,wt=13): 3301 T(x,T(y,x)) * (y \ T(y,x)) = x. [para(3298(a,1),17(a,1,2))]. given #3122 (H,wt=10): 3305 L(x,y \ T(y,x),y) = x. [hyper(189,a,2978,a(flip),b,3301,a(flip)),flip(a)]. given #3123 (H,wt=13): 3302 (x \ T(x,y)) \ y = T(y,T(x,y)). [para(3298(a,1),2746(a,1,1))]. given #3124 (H,wt=15): 3281 (x \ y) * (x \ T(x,x \ y)) = y / x. [hyper(76,a,17,a(flip),b,3279,a),flip(a)]. given #3125 (H,wt=15): 3289 ((x * y) / x) * (y \ 1) = x \ T(x,y). [para(3280(a,1),2835(a,1,1))]. given #3126 (H,wt=15): 3297 T(x,x \ y) \ x = (y / x) \ (x \ y). [para(17(a,1),3290(a,1,1,1)),flip(a)]. given #3127 (H,wt=15): 3303 (x * (T(x,T(y,x)) \ x)) * y = y * x. [para(3298(a,2),3279(a,1,1,2))]. given #3128 (H,wt=13): 3311 T(x * (T(x,T(y,x)) \ x),y) = x. [hyper(147,a,3303,a,b,xx)]. given #3129 (H,wt=15): 3304 (x * y) / x = y * (T(y,T(x,y)) \ y). [para(3298(a,2),3280(a,1,2)),flip(a)]. given #3130 (H,wt=15): 3307 T(x,y) \ (y * (x \ T(x,y))) = x \ y. [hyper(75,a,3305,a(flip),b,2785,a),flip(a)]. given #3131 (H,wt=13): 3313 T(x,y) \ ((x * y) / x) = x \ y. [para(3280(a,1),3307(a,1,2))]. given #3132 (H,wt=11): 3314 T(x / y,T(y,x)) = y \ x. [hyper(1469,a,3313,a)]. given #3133 (H,wt=13): 3315 T(x,y) * (x \ y) = (x * y) / x. [para(3313(a,1),17(a,1,2))]. given #3134 (H,wt=11): 3319 T(x,x / (x / y)) = T(x,y). [hyper(21,a,1597,a,b,3315,a),flip(a)]. given #3135 (H,wt=11): 3327 T(x,x / y) = T(x,y \ x). [para(67(a,1),3319(a,1,2,2))]. given #3136 (H,wt=11): 3328 T(x,(y \ x) \ x) = T(x,y). [para(130(a,1),3319(a,1,2)),flip(a)]. given #3137 (H,wt=11): 3331 T(x,T(y,y \ x)) = T(x,y). [para(114(a,2),3328(a,1,2))]. given #3138 (H,wt=13): 3316 T(x,T(x \ y,y)) = (x \ y) \ y. [para(67(a,1),3314(a,1,1))]. given #3139 (H,wt=13): 3317 T(x \ y,T(x,y)) = T(x \ y,x). [para(3314(a,1),161(a,1,1)),flip(a)]. given #3140 (H,wt=13): 3322 T(x,y) * y = x * ((x * y) / x). [para(3315(a,1),974(a,1,2)),flip(a)]. given #3141 (H,wt=13): 3324 T(x,x / (1 / y)) = T(x,x * y). [hyper(189,a,1602,a(flip),b,3319,a(flip)),flip(a)]. given #3142 (H,wt=13): 3325 (x / T(y,x)) * y = T(x,T(y,x)). [hyper(189,a,1057,a(flip),b,3319,a(flip)),flip(a)]. given #3143 (H,wt=13): 3326 (x / y) \ T(x,y) = (x * y) / x. [hyper(75,a,3319,a(flip),b,1042,a)]. given #3144 (H,wt=13): 3332 T(x,T(x \ y,y)) = T(x,x \ y). [hyper(189,a,114,a,b,3316,a)]. given #3145 (H,wt=15): 3309 (x \ y) * (x \ ((x \ y) \ y)) = y / x. [para(114(a,1),3281(a,1,2,2))]. given #3146 (H,wt=15): 3329 T(x,T(y,x)) * (y * x) = x * (x * y). [para(3319(a,1),1500(a,1,1))]. given #3147 (H,wt=15): 3330 x * ((y * (x \ y)) / y) = T(y,x \ y). [hyper(1041,a,3327,a)]. given #3148 (H,wt=14): 3341 T(x,y \ x) != z | T(x,x / y) = z. [para(3330(a,1),1044(a,1))]. given #3149 (H,wt=15): 3336 T(x,x \ y) * (x \ y) = x * (y / x). [para(17(a,1),3322(a,2,2,1))]. given #3150 (H,wt=15): 3342 T(x,x \ y) * y = x * (x * (y / x)). [para(3336(a,1),974(a,1,2)),flip(a)]. given #3151 (H,wt=16): 3292 L(x \ T(x,y),y,x) = K(x,(x * y) / x). [para(3282(a,1),363(a,1,1))]. given #3152 (H,wt=16): 3293 T(x,R(y,y \ 1,x)) = (x \ T(x,y)) * x. [para(3282(a,1),1297(a,1,1)),flip(a)]. given #3153 (H,wt=12): 3345 T(x,R(y,y \ 1,x)) = T(x,y). [hyper(189,a,2799,a(flip),b,3293,a)]. given #3154 (H,wt=14): 3348 T(x,R(y \ 1,y,x)) = T(x,y \ 1). [para(2573(a,1),3345(a,1,2))]. given #3155 (H,wt=13): 3350 T(x,x / (x * y)) = T(x,y \ 1). [hyper(189,a,2829,a(flip),b,3348,a(flip)),flip(a)]. given #3156 (H,wt=13): 3351 T(x,x / (y * x)) = T(x,y \ 1). [hyper(189,a,2678,a(flip),b,3348,a(flip)),flip(a)]. given #3157 (H,wt=15): 3346 T(x,(y \ x) \ 1) = x * K(x,y / x). [hyper(2705,a,3345,a),flip(a)]. given #3158 (H,wt=15): 3352 (x * ((x / y) / x)) * y = T(x,y \ 1). [hyper(1793,a,3350,a)]. given #3159 (H,wt=15): 3355 K(x,(x / y) / x) = x \ T(x,y \ 1). [hyper(75,a,3350,a(flip),b,1404,a),flip(a)]. given #3160 (H,wt=15): 3357 x * (y * ((x \ y) / y)) = T(y,x \ 1). [hyper(1070,a,3351,a)]. given #3161 (H,wt=15): 3358 x \ T(y,x \ 1) = y * ((x \ y) / y). [hyper(75,a,3351,a(flip),b,1069,a)]. given #3162 (H,wt=15): 3362 x \ (y \ T(x,y \ 1)) = (y \ x) / x. [hyper(75,a,3358,a,b,xx)]. given #3163 (H,wt=16): 3323 L(((x * y) / x) / y,y,x) = K(T(x,y),y). [para(3315(a,1),2771(a,1,1,1))]. given #3164 (H,wt=14): 3368 L(x \ T(x,y),y,x) = K(T(x,y),y). [para(3286(a,1),3323(a,1,1))]. given #3165 (H,wt=13): 3369 K(T(x,y),y) = K(x,(x * y) / x). [hyper(189,a,3292,a(flip),b,3368,a(flip))]. given #3166 (H,wt=16): 3337 R(T(x,x * y),y,x) = (x / T(y,x)) * y. [para(3324(a,1),1513(a,1,1))]. given #3167 (H,wt=14): 3370 R(T(x,x * y),y,x) = T(x,T(y,x)). [hyper(189,a,3325,a(flip),b,3337,a)]. given #3168 (H,wt=16): 3344 K(x,y) = L(x \ T(x,T(y,x)),T(y,x),x). [para(143(a,1),3292(a,2,2)),flip(a)]. given #3169 (H,wt=17): 3283 (x / y) \ T(x / y,y) = y \ (x / (x / y)). [hyper(75,a,185,a(flip),b,3280,a),flip(a)]. given #3170 (H,wt=15): 3372 (x / y) \ (y \ x) = y \ (x / (x / y)). [para(115(a,1),3283(a,1,2))]. given #3171 (H,wt=15): 3373 T(x,x \ y) \ x = x \ (y / (y / x)). [hyper(189,a,3297,a,b,3372,a(flip)),flip(a)]. given #3172 (H,wt=15): 3374 x / (x / y) = y * (T(y,y \ x) \ y). [para(3373(a,2),17(a,1,2)),flip(a)]. given #3173 (H,wt=17): 3285 x * ((y * (x \ 1)) / y) = y \ T(y,x \ 1). [hyper(20,a,2792,a,b,3280,a),flip(a)]. given #3174 (H,wt=17): 3308 (x * T(x \ 1,y)) \ y = T(y,T(x \ 1,y)). [para(2638(a,1),3302(a,1,1))]. given #3175 (H,wt=17): 3333 T(x,y) * T(x \ y,x) = (x \ y) * T(x,y). [para(3317(a,1),113(a,1,2))]. given #3176 (H,wt=17): 3338 ((x * y) * y) / (x * y) = x \ T(x * y,y). [para(18(a,1),3326(a,1,1)),flip(a)]. given #3177 (H,wt=14): 3382 T(x \ T(x * y,y),x) = R(y,x,y). [para(3338(a,1),603(a,2,1)),flip(a)]. given #3178 (H,wt=16): 3383 (x \ T(x * y,y)) * x = x * R(y,x,y). [para(3338(a,1),612(a,1,1))]. given #3179 (H,wt=17): 3356 T(x * ((x / y) / x),y) = y \ T(x,y \ 1). [para(3350(a,1),1790(a,1,2)),flip(a)]. given #3180 (H,wt=17): 3360 (x \ 1) \ T(y,x) = y * (((x \ 1) \ y) / y). [hyper(75,a,2671,a(flip),b,3357,a)]. given #3181 (H,wt=17): 3363 (x / y) \ T(x,(x / y) \ 1) = x * (y / x). [para(69(a,1),3358(a,2,2,1))]. given #3182 (H,wt=17): 3371 L(R(x,y,x),y,x) * y = y * T(x,T(y,x)). [para(3370(a,1),834(a,1,2)),flip(a)]. given #3183 (H,wt=17): 3375 (x * y) / ((x * y) / x) = x * (T(x,y) \ x). [para(16(a,1),3374(a,2,2,1,2))]. given #3184 (H,wt=17): 3387 T((x * y) / x,T(x,y)) = L(R(y,x,y),x,y). [hyper(21,a,325,a,b,3371,a),flip(a)]. given #3185 (H,wt=17): 3388 x / (y \ ((y * x) / y)) = y * (T(y,x) \ y). [hyper(189,a,1049,a(flip),b,3375,a(flip)),flip(a)]. given #3186 (H,wt=18): 3287 (x * y) \ ((x * y) / x) = L(x \ 1,T(x,y),y). [para(3280(a,1),775(a,1,2))]. given #3187 (H,wt=18): 3339 (x \ y) \ (y / x) != z | x \ ((x \ y) \ y) = z. [para(3309(a,1),237(a,1,2)),flip(b)]. given #3188 (H,wt=18): 3340 T(x,T(y,x)) * (y * x) != x * z | x * y = z. [para(3329(a,2),22(a,1))]. given #3189 (H,wt=18): 3349 T(x,(y \ x) \ 1) != z | x * K(x,y / x) = z. [para(3345(a,1),2705(a,1))]. given #3190 (H,wt=18): 3364 x * R(1 / y,y,y \ x) = y \ T(x,y \ 1). [para(286(a,2),3358(a,2,2)),flip(a)]. given #3191 (H,wt=18): 3365 x * ((y \ x) / x) != z | y \ T(x,y \ 1) = z. [para(3362(a,1),203(a,1,2)),flip(b)]. given #3192 (H,wt=18): 3381 T(x,T(L(y \ 1,y,x) \ 1,x)) = K(y,x) \ x. [para(906(a,2),3308(a,1,1)),flip(a)]. given #3193 (H,wt=17): 3394 T(x,((x * y) \ x) \ K(y,x)) = K(y,x) \ x. [para(905(a,1),3381(a,1,2))]. given #3194 (H,wt=19): 3288 ((x \ 1) * y) / (x \ 1) = y * (x * T(x \ 1,y)). [para(2638(a,1),3280(a,1,2)),flip(a)]. given #3195 (H,wt=19): 3318 x \ (y * T(y \ x,T(y,x))) = K(y \ x,T(y,x)). [para(3314(a,1),1628(a,1,1)),flip(a)]. given #3196 (H,wt=19): 3359 T(x,T(y,y \ x) \ 1) = x * K(x,(y \ x) / x). [para(114(a,2),3346(a,1,2,1))]. given #3197 (H,wt=19): 3376 (x * ((y \ x) / x)) / (y \ x) = x \ T(x,y \ 1). [hyper(189,a,885,a,b,3285,a(flip)),flip(a)]. given #3198 (H,wt=19): 3377 T(x \ T(x,y \ 1),z) = K(x,(x / T(y,z)) / x). [para(3285(a,1),1799(a,1,1))]. given #3199 (H,wt=19): 3386 (((x / y) \ 1) \ y) * ((x / y) \ 1) = x * (y / x). [hyper(941,a,3363,a)]. given #3200 (H,wt=19): 3397 x \ T(x,T(y,z) \ 1) = T(x \ T(x,y \ 1),z). [hyper(189,a,3355,a(flip),b,3377,a),flip(a)]. given #3201 (H,wt=20): 3294 R(T(x,y) \ x,y,z) = (T(y,T(x,y)) * z) / (y * z). [para(3284(a,2),2804(a,1,1))]. given #3202 (H,wt=20): 3295 R(x \ T(x,y),y,z) \ (((x * y) / x) * z) = y * z. [para(3286(a,1),371(a,1,1,1))]. given #3203 (H,wt=20): 3312 x * y != x * z | T(z * (T(z,T(x,z)) \ z),x) = y. [para(3303(a,1),148(a,2))]. given #3204 (H,wt=20): 3334 T(x,y) * T(x \ y,x) != z | (x \ y) * T(x,y) = z. [para(3317(a,1),205(a,1,2))]. given #3205 (H,wt=20): 3335 x \ (y * T(y \ x,T(y,x))) != z | K(y \ x,y) = z. [para(3317(a,2),575(a,1,2,2))]. given #3206 (H,wt=13): 3401 K(x \ y,T(x,y)) = K(x \ y,x). [hyper(3335,a,3318,a),flip(a)]. given #3207 (H,wt=15): 3402 K(x \ (x * y),x) = K(y,T(x,x * y)). [hyper(189,a,1215,a(flip),b,3401,a(flip))]. given #3208 (H,wt=11): 3403 K(x,T(y,y * x)) = K(x,y). [hyper(189,a,1215,a(flip),b,3402,a(flip))]. given #3209 (H,wt=20): 3389 (x * y) / ((x * y) / x) != x * z | T(x,y) \ x = z. [para(3375(a,2),22(a,1))]. given #3210 (H,wt=21): 3380 R(x \ T(x,y \ 1),z,u) = K(x,(x / R(y,z,u)) / x). [para(3285(a,1),2149(a,1,1))]. given #3211 (H,wt=21): 3405 R(x \ T(x,y \ 1),z,u) = x \ T(x,R(y,z,u) \ 1). [hyper(189,a,3355,a(flip),b,3380,a)]. given #3212 (H,wt=22): 3275 R((x \ 1) * (y / (x \ 1)),x,x \ 1) = (x \ 1) * (y * x). [para(373(a,1),3274(a,2,2))]. given #3213 (H,wt=22): 3366 x * ((y \ x) / x) != z * u | (y \ T(x,y \ 1)) / u = z. [para(3362(a,1),298(a,1,2))]. given #3214 (H,wt=22): 3367 x * ((y \ x) / x) != z * u | z \ (y \ T(x,y \ 1)) = u. [para(3362(a,1),301(a,1,2))]. given #3215 (H,wt=22): 3384 (x * R(y,x,y)) \ T(x * y,y) = K(x,x \ T(x * y,y)). [para(3383(a,1),97(a,1,1))]. given #3216 (H,wt=22): 3396 T(x,T(y,y \ x) \ 1) != x * z | K(x,(y \ x) / x) = z. [para(3359(a,2),22(a,1))]. given #3217 (H,wt=23): 3320 T(x,(y \ x) * y) * K(y \ x,y) = (x * ((y \ x) * y)) / x. [para(96(a,1),3315(a,1,2))]. given #3218 (H,wt=23): 3361 (x * y) * ((x \ (x * y)) / (x * y)) = ((x \ 1) \ y) * (x \ 1). [hyper(772,a,3358,a),flip(a)]. given #3219 (H,wt=19): 3408 ((x \ 1) \ y) * (x \ 1) = (x * y) * (y / (x * y)). [para(16(a,1),3361(a,1,2,1)),flip(a)]. given #3220 (H,wt=19): 3409 ((x \ 1) * y) * (y / ((x \ 1) * y)) = (x \ y) * x. [hyper(189,a,2538,a(flip),b,3408,a(flip))]. given #3221 (H,wt=18): 3410 ((x \ 1) * y) * R(x,x \ 1,y) = (x \ y) * x. [para(139(a,2),3409(a,1,2))]. given #3222 (H,wt=23): 3378 K(x,(x / y) / x) * (y * z) = y * ((x \ T(x,y \ 1)) * z). [para(3285(a,1),1812(a,2,2,1))]. given #3223 (H,wt=23): 3412 (x \ T(x,y \ 1)) * (y * z) = y * ((x \ T(x,y \ 1)) * z). [para(3355(a,1),3378(a,1,1))]. given #3224 (H,wt=24): 3393 x * R(1 / (1 / y),1 / y,(1 / y) \ x) = (1 / y) \ T(x,y). [para(69(a,1),3364(a,2,2,2))]. given #3225 (H,wt=24): 3398 x \ (y * (x / y)) != z | K(((y / x) \ 1) \ x,(y / x) \ 1) = z. [para(3386(a,1),336(a,1,2))]. given #3226 (H,wt=24): 3413 x * R(1 / (1 / y),y \ 1,(1 / y) \ x) = (1 / y) \ T(x,y). [para(2591(a,1),3393(a,1,2))]. given #3227 (H,wt=23): 3414 K(x,((y \ 1) \ x) / x) = ((1 / y) \ x) \ ((1 / y) \ T(x,y)). [para(3413(a,1),3091(a,1,2)),flip(a)]. given #3228 (H,wt=19): 3415 K(x \ ((x \ 1) \ y),x) = K(y,((x \ 1) \ y) / y). [hyper(189,a,3097,a(flip),b,3414,a),flip(a)]. given #3229 (H,wt=25): 3343 (x * (x * (T(y,z) / x))) / y = (T(x,x \ T(y,z)) / y) * T(y,z). [hyper(76,a,3342,a(flip),b,1461,a)]. given #3230 (H,wt=25): 3390 x * (((x * y) / ((x * y) / x)) \ z) = (x * (T(x,y) \ x)) \ (x * z). [para(3375(a,1),1115(a,1,1)),flip(a)]. given #3231 (H,wt=23): 3416 (x * (T(x,y) \ x)) \ (x * z) = x * ((x * (T(x,y) \ x)) \ z). [para(3375(a,1),3390(a,1,2,1)),flip(a)]. given #3232 (H,wt=25): 3391 T(x \ T(x * y,y),T(x * y,y)) = L(R(y,x * y,y),x * y,y). [para(3338(a,1),3387(a,1,1))]. given #3233 (H,wt=25): 3395 ((L(x \ 1,x,y) \ 1) * y) / (L(x \ 1,x,y) \ 1) = y * K(x,y). [para(906(a,2),3288(a,2,2))]. given #3234 (H,wt=13): 3418 T(K(x,y),x * K(z,x)) = K(x,y). [para(3395(a,1),2665(a,1,2))]. given #3235 (H,wt=15): 3419 T(x * K(y,x),K(x,z)) = x * K(y,x). [hyper(38,a,3418,a)]. given #3236 (H,wt=25): 3411 ((((x \ 1) * y) * x) / ((x \ 1) * y)) * (x \ 1) = ((x \ y) * x) / y. [hyper(76,a,3410,a(flip),b,669,a),flip(a)]. given #3237 (H,wt=21): 3420 ((x \ 1) * y) \ T((x \ 1) * y,x) = ((x \ y) * x) / y. [hyper(189,a,3289,a(flip),b,3411,a(flip)),flip(a)]. given #3238 (H,wt=18): 3421 L(K(x \ y,x),y,x \ 1) = ((x \ y) * x) / y. [hyper(189,a,1905,a(flip),b,3420,a(flip)),flip(a)]. given #3239 (H,wt=22): 3422 ((x \ (x * y)) * x) / (x * y) = L(K(y,x),x * y,x \ 1). [para(16(a,1),3421(a,1,1,1)),flip(a)]. given #3240 (H,wt=18): 3423 L(K(x,y),y * x,y \ 1) = (x * y) / (y * x). [para(16(a,1),3422(a,1,1,1)),flip(a)]. given #3241 (H,wt=26): 3296 R(x \ T(x,y),y,((x * y) / x) \ z) \ z = y * (((x * y) / x) \ z). [para(3286(a,1),395(a,1,1,1))]. given #3242 (H,wt=26): 3300 L(x,y,y \ 1) \ ((1 / y) * (x * y)) = T(y,(1 / y) * (x * y)) \ y. [hyper(3046,a,3291,a)]. given #3243 (H,wt=22): 3424 L(K(x,y),y * x,y \ 1) = T(y,(1 / y) * (x * y)) \ y. [hyper(189,a,3198,a(flip),b,3300,a(flip)),flip(a)]. given #3244 (H,wt=22): 3425 L(K(x,y),y * x,y \ 1) = T(y,(y \ 1) * (x * y)) \ y. [para(2393(a,1),3424(a,2,1))]. given #3245 (H,wt=19): 3426 T(x,(x \ 1) * (y * x)) \ x = (y * x) / (x * y). [hyper(189,a,3423,a(flip),b,3425,a(flip))]. given #3246 (H,wt=21): 3427 x * (((y * x) / (x * y)) \ 1) = T(x,(x \ 1) * (y * x)). [para(3426(a,1),2848(a,1,2,1))]. given #3247 (H,wt=26): 3406 ((x \ 1) * (y * x)) / (x \ 1) != z * x | (x \ 1) * (y / (x \ 1)) = z. [para(3275(a,1),453(a,1,1)),flip(b)]. given #3248 (H,wt=26): 3407 (x * ((y \ x) * y)) / x != z * K(y \ x,y) | T(x,(y \ x) * y) = z. [para(3320(a,1),23(a,1))]. given #3249 (H,wt=26): 3417 x * ((x * (T(x,y) \ x)) \ ((T(x,y) \ x) * z)) = L(z,T(x,y) \ x,x). [hyper(355,a,3416,a),flip(a)]. given #3250 (H,wt=21): 3428 x * L(x \ y,x,T(x,z) \ x) = L(y,T(x,z) \ x,x). [para(2780(a,1),3417(a,1,2))]. given #3251 (H,wt=27): 3321 ((x * y) / x) \ (T(x,y) * ((x \ y) * z)) != u | L(z,x \ y,T(x,y)) = u. [para(3315(a,1),355(a,1,1))]. given #3252 (H,wt=27): 3400 L((T(x,T(y,x)) * z) / (x * z),T(y,x),x) = R((y * x) \ (x * y),x,z). [para(3294(a,1),716(a,1,1))]. given #3253 (H,wt=23): 3429 L((T(x,T(y,x)) * z) / (x * z),T(y,x),x) = R(K(x,y),x,z). [para(29(a,2),3400(a,2,1))]. given #3254 (H,wt=28): 3248 K(x,x \ 1) * ((y * z) / (K(x,x \ 1) * z)) = R(y,z,T(K(x,x \ 1),z)). [hyper(189,a,2524,a(flip),b,3241,a(flip))]. given #3255 (H,wt=19): 3430 R(x,y,T(K(z,z \ 1),y)) = R(x,K(z,z \ 1),y). [hyper(189,a,3264,a(flip),b,3248,a(flip))]. given #3256 (H,wt=17): 3431 R(x,K(y,y \ 1),z) = R(x,z,K(y,y \ 1)). [para(2514(a,1),3430(a,1,3)),flip(a)]. given #3257 (H,wt=21): 3432 R(x,y,K(z \ 1,(z \ 1) \ 1)) = R(x,K(z \ 1,z),y). [para(1538(a,1),3431(a,1,2)),flip(a)]. given #3258 (H,wt=17): 3434 R(x,K(y \ 1,y),z) = R(x,z,K(y \ 1,y)). [para(1538(a,1),3432(a,1,3)),flip(a)]. given #3259 (H,wt=28): 3399 T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = x \ T(x,R(z \ 1,z,y) \ 1). [para(2822(a,1),3397(a,1,2,2,1)),flip(a)]. given #3260 (H,wt=28): 3435 T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = R(x \ T(x,(z \ 1) \ 1),z,y). [hyper(189,a,3405,a,b,3399,a)]. given #3261 (H,wt=24): 3436 T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = R(x \ T(x,z),z,y). [para(2671(a,1),3435(a,2,1,2))]. given #3262 (H,wt=29): 3278 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ (1 * x)) * y) / ((1 / x) \ 1). [para(3273(a,1),3146(a,1,1)),flip(a)]. given #3263 (H,wt=27): 3437 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ x) * y) / ((1 / x) \ 1). [para(14(a,1),3278(a,2,1,1,2))]. given #3264 (H,wt=23): 3438 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ x) * y) / x. [para(69(a,1),3437(a,2,2))]. given #3265 (H,wt=29): 3392 ((x * y) / x) * T(((x * y) / x) \ x,y) = x * K(y \ (x * (T(x,y) \ x)),y). [para(3388(a,1),1074(a,2,2,1,2))]. given #3266 (H,wt=25): 3439 x * K(y \ (x * (T(x,y) \ x)),y) = (x * (y * T(y \ x,y))) / x. [hyper(189,a,1580,a(flip),b,3392,a(flip))]. given #3267 (H,wt=23): 3440 x * K(y \ (x * (T(x,y) \ x)),y) = (x * ((y \ x) * y)) / x. [para(113(a,1),3439(a,2,1,2))]. given #3268 (H,wt=30): 3299 ((x * y) / x) * (y \ ((T(x,y) \ x) * z)) = L(z,((x * y) / x) \ y,(x * y) / x). [para(3290(a,1),1112(a,1,2,2,1))]. given #3269 (H,wt=28): 3441 ((x * y) / x) * (y \ ((T(x,y) \ x) * z)) = L(z,T(x,y) \ x,(x * y) / x). [para(3290(a,1),3299(a,2,2))]. given #3270 (H,wt=31): 3217 x \ (K(y \ 1,y) * (x * ((1 / y) * z))) != u | L((y \ 1) * z,K(y,y \ 1),x) = u. [para(3181(a,1),2431(a,1))]. given #3271 (H,wt=31): 3258 T((x \ 1) * (x * ((y * (x \ z)) / y)),y) = y \ (K(x \ 1,x) * (y * ((1 / x) * z))). [para(2419(a,1),3224(a,1,1))]. given #3272 (H,wt=31): 3310 (x \ T(x,y)) \ (((x * y) / x) * ((y \ 1) * z)) != u | L(z,y \ 1,(x * y) / x) = u. [para(3289(a,1),355(a,1,1))]. given #3273 (H,wt=31): 3379 (x * ((y / (z * (x \ y))) / x)) * (z * (x \ y)) = x * ((x \ T(x,z \ 1)) * (x \ y)). [para(3285(a,1),1801(a,2,2,1))]. given #3274 (H,wt=31): 3385 T(((x / y) / x) * ((x \ 1) \ 1),y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x. [para(3356(a,1),2321(a,2,1,2))]. given #3275 (H,wt=29): 3443 T((x / y) * K(x,x \ 1),y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x. [para(2257(a,1),3385(a,1,1,1))]. given #3276 (H,wt=27): 3444 T(((x \ 1) \ 1) / y,y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x. [para(3211(a,1),3443(a,1,1,1))]. given #3277 (H,wt=25): 3445 (x \ ((y \ 1) \ 1)) * K(y \ 1,y) = (y \ (x \ T(y,x \ 1))) * y. [para(115(a,1),3444(a,1,1))]. given #3278 (H,wt=21): 3446 (x \ ((y \ 1) \ 1)) * K(y \ 1,y) = ((x \ y) / y) * y. [para(3362(a,1),3445(a,2,1))]. given #3279 (H,wt=17): 3447 (x \ ((y \ 1) \ 1)) * K(y \ 1,y) = x \ y. [hyper(189,a,19,a(flip),b,3446,a)]. given #3280 (H,wt=17): 3448 (x \ y) * K(y,y \ 1) = x \ ((y \ 1) \ 1). [hyper(21,a,2325,a(flip),b,3446,a),flip(a)]. given #3281 (H,wt=17): 3450 K(x \ 1,x) * (y \ ((x \ 1) \ 1)) = y \ x. [hyper(2477,a,3447,a)]. given #3282 (H,wt=17): 3453 (x \ y) * K(y,y \ 1) = x \ T(y,y \ 1). [hyper(189,a,318,a,b,3448,a)]. given #3283 (H,wt=17): 3454 K(x,x \ 1) * (y \ x) = y \ T(x,x \ 1). [hyper(2523,a,3453,a)]. given #3284 (H,wt=19): 3452 (x \ ((y \ 1) \ 1)) * (y \ 1) = (x \ y) * (1 / y). [para(3447(a,1),2284(a,1,1)),flip(a)]. given #3285 (H,wt=20): 3449 (x \ ((y \ 1) \ 1)) * K(y \ 1,y) != z | x \ y = z. [para(3446(a,2),200(a,1)),flip(b)]. given #3286 (H,wt=31): 3442 T((x \ 1) * (x * ((y * (x \ z)) / y)),y) != u | L((x \ 1) * z,K(x,x \ 1),y) = u. [para(3258(a,2),3217(a,1))]. given #3287 (H,wt=32): 3229 (K(x \ 1,x) * (y * ((1 / x) * z))) / ((x \ 1) * z) = R(y,K(x \ 1,x),(1 / x) * z). [para(3187(a,1),2408(a,1,1))]. given #3288 (H,wt=32): 3455 K(x \ 1,x) * ((y * ((1 / x) * z)) / ((x \ 1) * z)) = R(y,K(x \ 1,x),(1 / x) * z). [hyper(189,a,3185,a(flip),b,3229,a(flip)),flip(a)]. given #3289 (H,wt=33): 3213 (1 / (x \ 1)) / T(y,y \ T(x,x \ 1)) = (y \ ((x \ 1) \ 1)) * K(x \ 1,(x \ 1) \ 1). [para(540(a,1),3209(a,1,1)),flip(a)]. given #3290 (H,wt=29): 3456 (1 / (x \ 1)) / T(y,y \ T(x,x \ 1)) = (y \ ((x \ 1) \ 1)) * K(x \ 1,x). [para(1538(a,1),3213(a,2,2))]. given #3291 (H,wt=25): 3457 x / T(y,y \ T(x,x \ 1)) = (y \ ((x \ 1) \ 1)) * K(x \ 1,x). [para(67(a,1),3456(a,1,1))]. given #3292 (H,wt=15): 3458 x / T(y,y \ T(x,x \ 1)) = y \ x. [hyper(189,a,3447,a(flip),b,3457,a)]. given #3293 (H,wt=17): 3459 (1 / x) / T(y,y \ (x \ 1)) = y \ (1 / x). [para(497(a,1),3458(a,1,2,2,2))]. given #3294 (H,wt=19): 3460 (1 / (1 / x)) / T(y,y \ x) = y \ (1 / (1 / x)). [para(228(a,1),3458(a,1,2,2,2))]. given #3295 (H,wt=17): 3461 K(x \ 1,x) * (y \ x) = y \ (1 / (1 / x)). [hyper(189,a,3226,a(flip),b,3460,a(flip)),flip(a)]. given #3296 (H,wt=17): 3462 (x \ (1 / (1 / y))) * K(y,y \ 1) = x \ y. [hyper(2494,a,3461,a)]. given #3297 (H,wt=21): 3463 K(x,x \ 1) * ((y \ (1 / (1 / x))) * z) = (y \ x) * z. [para(3462(a,1),3239(a,1,1)),flip(a)]. given #3298 (H,wt=17): 3464 x * K(y \ (1 / (1 / x)),y) = (y \ x) * y. [hyper(189,a,2413,a(flip),b,3463,a(flip)),flip(a)]. given #3299 (H,wt=17): 3465 ((x \ y) * x) * (y \ 1) = ((x \ y) * x) / y. [para(3464(a,1),3438(a,1,1))]. given #3300 (H,wt=35): 3228 (x * (y * K(z \ 1,z))) \ (x * (K(z \ 1,z) * (y * u))) != w | L(u,y * K(z \ 1,z),x) = w. [para(3187(a,1),355(a,1,2,2))]. given #3301 (H,wt=36): 3276 R(x * ((y / z) / x),z,y \ u) * (z * (y \ u)) = (x * ((u / (z * (y \ u))) / x)) * (z * (y \ u)). [para(3274(a,2),2137(a,1,1))]. given #3302 (H,wt=31): 3466 (x * ((y / (z * (u \ y))) / x)) * (z * (u \ y)) = ((x * ((u / z) / x)) * z) * (u \ y). [hyper(204,a,3276,a),flip(a)]. given #3303 (H,wt=27): 3467 ((x * ((x / y) / x)) * y) * (x \ z) = x * ((x \ T(x,y \ 1)) * (x \ z)). [hyper(189,a,3379,a(flip),b,3466,a(flip))]. given #3304 (H,wt=23): 3468 x * ((x \ T(x,y \ 1)) * (x \ z)) = T(x,y \ 1) * (x \ z). [para(3352(a,1),3467(a,1,1)),flip(a)]. given #3305 (H,wt=23): 3469 T(x,(y \ 1) \ 1) * (x \ z) = x * ((x \ T(x,y)) * (x \ z)). [para(2671(a,1),3468(a,1,2,1,2)),flip(a)]. given #3306 (H,wt=19): 3470 x * ((x \ T(x,y)) * (x \ z)) = T(x,y) * (x \ z). [para(2671(a,1),3469(a,1,1)),flip(a)]. given #3307 (H,wt=19): 3471 T(x,y) * (x \ (x * z)) = x * ((x \ T(x,y)) * z). [para(16(a,1),3470(a,1,2,2)),flip(a)]. given #3308 (H,wt=15): 3472 x * ((x \ T(x,y)) * z) = T(x,y) * z. [para(16(a,1),3471(a,1,2)),flip(a)]. given #3309 (H,wt=10): 3474 L(x,y \ T(y,z),y) = x. [hyper(404,a,3472,a)]. given #3310 (H,wt=12): 3483 L(x,T(y,T(z,y)) \ y,z) = x. [para(3298(a,2),3474(a,1,2))]. given #3311 (H,wt=14): 3484 L(x,T(y,z) \ y,(y * z) / y) = x. [para(142(a,1),3483(a,1,2,1,2))]. given #3312 (H,wt=15): 3475 (T(x,y) * z) / ((x \ T(x,y)) * z) = x. [hyper(88,a,3472,a)]. given #3313 (H,wt=10): 3486 R(x,x \ T(x,y),z) = x. [hyper(588,a,3475,a)]. given #3314 (H,wt=12): 3487 R(x,x \ (K(y,x) \ x),z) = x. [para(3381(a,1),3486(a,1,2,2))]. given #3315 (H,wt=10): 3488 R(x,K(y,x) \ 1,z) = x. [para(3063(a,1),3487(a,1,2))]. given #3316 (H,wt=15): 3476 (x \ T(x,y)) * z = T(x,y) * (x \ z). [hyper(20,a,974,a,b,3472,a)]. given #3317 (H,wt=15): 3477 (x \ T(x,y)) * (x * z) = T(x,y) * z. [hyper(20,a,979,a(flip),b,3472,a)]. given #3318 (H,wt=15): 3493 (T(x,y) * z) / (x * z) = x \ T(x,y). [hyper(88,a,3477,a)]. given #3319 (H,wt=14): 3495 R(x \ T(x,y),x,z) = x \ T(x,y). [hyper(2814,a,3493,a)]. given #3320 (H,wt=16): 3492 T(x,y) * (x \ 1) != z | x \ T(x,y) = z. [para(3476(a,1),85(a,1)),flip(b)]. given #3321 (H,wt=17): 3479 x * ((T(y,x) \ y) * z) = T(x,T(y,x)) * z. [para(3284(a,2),3472(a,1,2,1))]. given #3322 (H,wt=13): 3500 (T(x,y) \ x) * (x * y) = y * x. [hyper(20,a,3329,a(flip),b,3479,a)]. given #3323 (H,wt=13): 3501 K(x,y) = T(T(y,x) \ y,y * x). [hyper(147,a,3500,a,b,95,a),flip(a)]. given #3324 (H,wt=13): 3502 (x * y) / (y * x) = T(y,x) \ y. [hyper(88,a,3500,a)]. given #3325 (H,wt=15): 3505 T(x,y) = x * (((y * x) / (x * y)) \ 1). [para(3502(a,2),2848(a,1,2,1)),flip(a)]. given #3326 (H,wt=13): 3506 T(x,(x \ 1) * (y * x)) = T(x,y). [hyper(189,a,3427,a(flip),b,3505,a),flip(a)]. given #3327 (H,wt=11): 3507 T(x,y * x) = T(x,x * y). [para(482(a,1),3506(a,1,2))]. given #3328 (H,wt=11): 3508 T(x,(x \ y) * x) = T(x,y). [para(486(a,1),3506(a,1,2))]. given #3329 (H,wt=11): 3510 T(x,x * (y / x)) = T(x,y). [para(19(a,1),3507(a,1,2)),flip(a)]. given #3330 (H,wt=11): 3515 K(x,T(y,x * y)) = K(x,y). [para(3507(a,2),3403(a,1,2))]. given #3331 (H,wt=12): 3513 R(T(x,x * y),y,x) = T(x,y). [para(3507(a,1),615(a,1,1))]. given #3332 (H,wt=9): 3521 T(x,T(y,x)) = T(x,y). [hyper(189,a,3370,a(flip),b,3513,a(flip)),flip(a)]. given #3333 (H,wt=11): 3522 (x / T(y,x)) * y = T(x,y). [hyper(189,a,3337,a(flip),b,3513,a(flip)),flip(a)]. given #3334 (H,wt=11): 3523 T(x,y) / y = x / T(y,x). [hyper(76,a,3513,a(flip),b,3337,a(flip))]. given #3335 (H,wt=11): 3525 x * (T(x,y) \ y) = T(y,x). [hyper(1060,a,3521,a)]. given #3336 (H,wt=11): 3528 T(x,y) \ (x * y) = T(y,x). [hyper(316,a,3521,a)]. given #3337 (H,wt=11): 3529 T(x,y) \ y = x \ T(y,x). [hyper(75,a,3521,a(flip),b,1008,a),flip(a)]. given #3338 (H,wt=11): 3533 T(x,y / x) = T(x,x \ y). [para(115(a,1),3521(a,1,2)),flip(a)]. given #3339 (H,wt=11): 3542 T(x,y) \ x = y \ T(y,x). [para(3521(a,1),3284(a,2,2))]. given #3340 (H,wt=11): 3543 T(x * (T(x,y) \ x),y) = x. [para(3521(a,1),3311(a,1,1,2,1))]. given #3341 (H,wt=11): 3549 (x * y) / T(y,x) = T(x,y). [hyper(189,a,1483,a,b,3522,a(flip)),flip(a)]. given #3342 (H,wt=11): 3551 T(x,y) * T(y,x) = x * y. [para(3522(a,1),1484(a,1,1))]. given #3343 (H,wt=11): 3553 (T(x,y) / y) \ x = T(y,x). [para(3523(a,2),69(a,1,1))]. given #3344 (H,wt=11): 3557 T(x,y) * (x \ T(y,x)) = y. [para(3529(a,1),17(a,1,2))]. given #3345 (H,wt=11): 3560 T(x,y / x) = (x \ y) \ y. [hyper(189,a,114,a(flip),b,3533,a)]. given #3346 (H,wt=11): 3563 x / T(y,x / y) = y \ x. [para(3533(a,2),174(a,1,2))]. given #3347 (H,wt=11): 3573 T(x / (x / y),y \ x) = y. [para(3374(a,2),3543(a,1,1))]. given #3348 (H,wt=13): 3520 K(x,T(x \ y,y)) = K(x,x \ y). [para(17(a,1),3515(a,1,2,2))]. given #3349 (H,wt=13): 3530 T(T(x,y),T(z,x)) = T(T(x,z),y). [para(3521(a,1),41(a,1,1)),flip(a)]. given #3350 (H,wt=13): 3531 T(x,T(T(y,x),z)) = T(x,T(y,z)). [para(41(a,1),3521(a,1,2))]. given #3351 (H,wt=13): 3544 (x * y) / x = y * (T(y,x) \ y). [para(3521(a,1),3304(a,2,2,1))]. given #3352 (H,wt=13): 3545 T(x,y) * (y * x) = x * (x * y). [para(3521(a,1),3329(a,1,1))]. given #3353 (H,wt=13): 3548 T(x,y) = (x * (x * y)) / (y * x). [hyper(189,a,1512,a,b,3522,a(flip))]. given #3354 (H,wt=13): 3555 T(x,y) = (x \ (y * x)) \ (y * x). [para(35(a,1),3528(a,1,1)),flip(a)]. given #3355 (H,wt=13): 3572 K(x,y) = T(x \ T(x,y),y * x). [para(3542(a,1),3501(a,2,1))]. given #3356 (H,wt=13): 3585 x / T(y \ x,y) = (y \ x) \ x. [para(67(a,1),3563(a,1,2,2))]. given #3357 (H,wt=13): 3591 T((T(x,y) * y) / T(x,y),x) = y. [para(3544(a,2),3311(a,1,1))]. given #3358 (H,wt=12): 3594 T(x,T(y,x)) != z | T(x,y) = z. [para(3591(a,1),548(a,1,1))]. given #3359 (H,wt=14): 3512 x * T(y,x * y) = L(y,x,y) * x. [para(3507(a,2),559(a,1,2))]. given #3360 (H,wt=12): 3598 T(L(x,y,x) * y,x) = y * x. [para(3512(a,1),1480(a,1,1))]. given #3361 (H,wt=14): 3517 R(T(x,y),x \ y,x) = T(x,x \ y). [para(3508(a,1),615(a,1,1))]. given #3362 (H,wt=14): 3550 T(x,y) != z * y | x / T(y,x) = z. [para(3522(a,1),23(a,1))]. given #3363 (H,wt=14): 3556 x * T(y,z) != z * y | T(z,y) = x. [para(3528(a,1),87(a,1,2)),flip(b)]. given #3364 (H,wt=14): 3561 R(T(x,y),y / x,x) = T(x,x \ y). [hyper(189,a,618,a,b,3533,a(flip)),flip(a)]. given #3365 (H,wt=14): 3580 x / T(y,x) != z | T(x,y) / y = z. [para(3553(a,1),246(a,1,2)),flip(b)]. given #3366 (H,wt=14): 3583 T(x,y / x) != z | T(x,x \ y) = z. [para(3560(a,2),241(a,1))]. given #3367 (H,wt=14): 3595 ((x * (y * x)) / x) / y = L(x,y,x). [hyper(1482,a,3512,a)]. given #3368 (H,wt=14): 3596 (x * (y * x)) / x = L(x,y,x) * y. [hyper(1481,a,3512,a)]. given #3369 (H,wt=12): 3602 T((x * y) / x,L(x,y,x)) = y. [hyper(1273,a,3596,a)]. given #3370 (H,wt=10): 3603 T(x,L(y,x,y)) = T(x,y). [para(3602(a,1),176(a,1,1)),flip(a)]. given #3371 (H,wt=14): 3597 T((x * y) / x,x * y) = L(y,x,y). [hyper(331,a,3512,a)]. given #3372 (H,wt=14): 3599 (L(x,y,x) * y) * x = x * (y * x). [para(3598(a,1),113(a,1,2)),flip(a)]. given #3373 (H,wt=9): 3606 L(R(x,y,x),y,x) = x. [hyper(814,a,3599,a)]. given #3374 (H,wt=14): 3601 T(x,L(x,y,x) * y) = T(x,y * x). [para(3598(a,1),3521(a,1,2)),flip(a)]. given #3375 (H,wt=14): 3608 T(x,L(x,y,x) * y) = T(x,x * y). [hyper(189,a,3507,a(flip),b,3601,a)]. given #3376 (H,wt=15): 3509 T(x,T((x \ 1) * y,x)) = T(x,x \ y). [para(1903(a,1),3506(a,1,2))]. given #3377 (H,wt=13): 3610 T(x,(x \ 1) * y) = T(x,x \ y). [hyper(3594,a,3509,a)]. given #3378 (H,wt=13): 3611 T(x,(1 / x) * y) = T(x,x \ y). [hyper(189,a,2393,a,b,3610,a(flip)),flip(a)]. given #3379 (H,wt=13): 3613 T(x,x \ ((x \ 1) \ y)) = T(x,y). [para(17(a,1),3610(a,1,2)),flip(a)]. given #3380 (H,wt=13): 3614 T(x,x \ ((1 / x) \ y)) = T(x,y). [para(17(a,1),3611(a,1,2)),flip(a)]. given #3381 (H,wt=12): 3617 T(x,R(y,x,x \ 1)) = T(x,y). [para(851(a,1),3614(a,1,2))]. given #3382 (H,wt=13): 3618 T(x,y * (x \ 1)) = T(x,y / x). [para(445(a,1),3617(a,1,2))]. given #3383 (H,wt=13): 3619 T(x,y * (x \ 1)) = T(x,x \ y). [hyper(189,a,3533,a(flip),b,3618,a)]. given #3384 (H,wt=15): 3511 T(T(x,x * y),z) = T(T(x,z),y * x). [para(3507(a,1),41(a,1,1))]. given #3385 (H,wt=15): 3519 T((x \ y) * T(x,y),x) = (x \ y) * x. [para(3508(a,1),1480(a,1,1,2))]. given #3386 (H,wt=15): 3532 T(L(x,y,z),T(u,x)) = L(T(x,u),y,z). [para(3521(a,1),43(a,1,1)),flip(a)]. given #3387 (H,wt=15): 3546 x * ((T(y,x) \ y) * z) = T(x,y) * z. [para(3521(a,1),3479(a,2,1))]. given #3388 (H,wt=15): 3547 T(x,y) / T(y,x) = x / T(T(y,x),x). [hyper(76,a,3521,a(flip),b,3522,a)]. given #3389 (H,wt=15): 3559 T((x \ y) * x,x) = (T(x,y) \ y) * x. [para(3529(a,2),1172(a,2,1))]. given #3390 (H,wt=15): 3562 (x / y) * T(y,y \ x) = y * (x / y). [para(3533(a,1),113(a,1,2))]. given #3391 (H,wt=15): 3565 (x * (y / x)) * x = y * T(x,x \ y). [para(3533(a,1),622(a,2,2))]. given #3392 (H,wt=15): 3567 K(x \ (x / y),x) = T(x,y \ 1) \ x. [hyper(189,a,2641,a,b,3542,a),flip(a)]. given #3393 (H,wt=15): 3568 T(x,y \ 1) \ x = y * T(y \ 1,x). [hyper(189,a,2638,a(flip),b,3542,a)]. given #3394 (H,wt=15): 3571 T(x,y) * (x \ z) = (T(y,x) \ y) * z. [para(3542(a,2),3476(a,1,1)),flip(a)]. given #3395 (H,wt=15): 3584 (x * (y / x)) * x = y * ((x \ y) \ y). [para(3560(a,1),622(a,2,2))]. given #3396 (H,wt=13): 3631 x * ((y \ x) \ x) = (y \ 1) \ x. [hyper(748,a,3584,a),flip(a)]. given #3397 (H,wt=13): 3633 ((x / y) \ 1) \ x = x * (y \ x). [para(69(a,1),3631(a,1,2,1)),flip(a)]. given #3398 (H,wt=13): 3635 x / (x * (y \ x)) = (x / y) \ 1. [para(3633(a,1),67(a,1,2))]. given #3399 (H,wt=13): 3636 (x / (x / y)) \ 1 = x / (x * y). [para(69(a,1),3635(a,1,2,2)),flip(a)]. given #3400 (H,wt=13): 3637 1 / (x / (x * y)) = x / (x / y). [para(3636(a,1),67(a,1,2))]. given #3401 (H,wt=13): 3638 x / (x / (x \ y)) = 1 / (x / y). [para(17(a,1),3637(a,1,2,2)),flip(a)]. given #3402 (H,wt=13): 3640 (1 / (x / y)) \ x = x / (x \ y). [para(3638(a,1),69(a,1,1))]. given #3403 (H,wt=13): 3641 x / (x \ (y \ x)) = (1 / y) \ x. [para(67(a,1),3640(a,1,1,2)),flip(a)]. given #3404 (H,wt=15): 3586 T(T(x / (x / y),z),y \ x) = T(y,z). [para(3573(a,1),41(a,1,1)),flip(a)]. given #3405 (H,wt=15): 3588 (x / (x / y)) * (y \ x) = (y \ x) * y. [para(3573(a,1),113(a,1,2)),flip(a)]. given #3406 (H,wt=15): 3589 ((x \ y) * x) / (x \ y) = y / (y / x). [para(3573(a,1),143(a,1,1,2))]. given #3407 (H,wt=14): 3643 T(x / (x / y),x) = L(y,y \ x,y). [para(3589(a,1),565(a,1,1))]. given #3408 (H,wt=15): 3604 L(x,y,x) * T(y,x) = y * L(x,y,x). [para(3603(a,1),113(a,1,2))]. given #3409 (H,wt=15): 3607 T(x \ T(x * y,y),T(x * y,y)) = y. [hyper(189,a,3391,a,b,3606,a(flip)),flip(a)]. given #3410 (H,wt=13): 3648 T(x,x \ T(x * y,y)) = T(x,y). [para(3607(a,1),3332(a,1,2)),flip(a)]. given #3411 (H,wt=13): 3649 K(x,x \ T(x * y,y)) = K(x,y). [para(3607(a,1),3520(a,1,2)),flip(a)]. given #3412 (H,wt=15): 3627 K(x \ (x / y),x) \ x = T(x,y \ 1). [para(3567(a,2),2746(a,1,1))]. given #3413 (H,wt=15): 3628 K(x,y) = T(y,((y * x) \ y) \ 1) \ y. [hyper(189,a,903,a,b,3568,a),flip(a)]. given #3414 (H,wt=15): 3642 (x * (y \ x)) / (x / y) = (y \ x) * y. [hyper(189,a,1525,a,b,3588,a(flip)),flip(a)]. given #3415 (H,wt=15): 3651 T(x,(y \ x) \ 1) = K(x \ y,x) \ x. [para(67(a,1),3627(a,1,1,1,2)),flip(a)]. given #3416 (H,wt=15): 3652 K(x \ y,x) \ x = x * K(x,y / x). [hyper(3349,a,3651,a),flip(a)]. given #3417 (H,wt=13): 3653 K(x \ y,x) \ 1 = K(x,y / x). [hyper(3066,a,3652,a)]. given #3418 (H,wt=13): 3654 K(x,(x * y) / x) = K(y,x) \ 1. [para(16(a,1),3653(a,1,1,1)),flip(a)]. given #3419 (H,wt=11): 3655 K(T(x,y),y) = K(y,x) \ 1. [hyper(189,a,3369,a,b,3654,a(flip)),flip(a)]. given #3420 (H,wt=11): 3656 K(T(x,y),y) \ 1 = K(y,x). [para(143(a,1),3654(a,1,2)),flip(a)]. given #3421 (H,wt=8): 3658 R(x,K(x,y),z) = x. [para(3656(a,1),3488(a,1,2))]. given #3422 (H,wt=11): 3657 K(T(x,y),y) * K(y,x) = 1. [para(3656(a,1),17(a,1,2))]. given #3423 (H,wt=14): 3662 K(T(x,y),y) \ 1 != z | K(y,x) = z. [para(3657(a,1),237(a,1,2)),flip(b)]. given #3424 (H,wt=15): 3661 (x * K(x,y)) * y = x * (y * K(x,y)). [para(3658(a,1),2769(a,1,1)),flip(a)]. given #3425 (H,wt=16): 3524 R(x,y,x) * (x * y) = (x * y) * T(x,y). [para(3513(a,1),160(a,1,2)),flip(a)]. given #3426 (H,wt=11): 3665 R(x,y,T(x,y)) = R(x,y,x). [hyper(21,a,383,a,b,3524,a),flip(a)]. given #3427 (H,wt=12): 3667 x \ T(y * x,y) = R(y,x,y). [hyper(1055,a,3665,a)]. given #3428 (H,wt=12): 3668 x * R(y,x,y) = T(y * x,y). [para(3665(a,1),1054(a,1,2))]. given #3429 (H,wt=14): 3670 R(x,x \ y,x) = (x \ y) \ T(y,x). [para(17(a,1),3667(a,1,2,1)),flip(a)]. given #3430 (H,wt=15): 3669 R(x,T(y,x),T(x,y)) = R(x,T(y,x),x). [para(3521(a,1),3665(a,1,3))]. given #3431 (H,wt=15): 3672 x \ T(y * x,y) != z | R(y,x,y) = z. [para(3668(a,1),237(a,1,2)),flip(b)]. given #3432 (H,wt=16): 3539 T(x \ y,x) != z | T(x,x \ y) \ y = z. [para(3521(a,1),317(a,1))]. given #3433 (H,wt=16): 3540 T(x \ y,x) != z | ((x \ y) \ y) \ y = z. [para(3521(a,1),435(a,1))]. given #3434 (H,wt=16): 3609 R(T(x,x * y),y,T(x,x * y)) = T(x,y). [para(3608(a,1),1492(a,1,1))]. given #3435 (H,wt=16): 3639 (x / (x / y)) \ 1 != z | x / (x * y) = z. [para(3637(a,1),236(a,1,1)),flip(b)]. given #3436 (H,wt=16): 3650 K(x,y) = (x * R(y,x,y)) \ T(x * y,y). [hyper(189,a,3384,a,b,3649,a(flip))]. given #3437 (H,wt=15): 3676 K(x,y) = T(y * x,y) \ T(x * y,y). [para(3668(a,1),3650(a,2,1))]. given #3438 (H,wt=13): 3677 K(x \ T(x * y,x),x) = K(y,x). [hyper(189,a,1183,a(flip),b,3676,a),flip(a)]. given #3439 (H,wt=13): 3678 K(x \ T(y,x),x) = K(x \ y,x). [para(17(a,1),3677(a,1,1,2,1))]. given #3440 (H,wt=13): 3680 K(T(x,y) \ y,x) = K(x \ y,x). [para(3529(a,2),3678(a,1,1))]. given #3441 (H,wt=15): 3679 K(x \ ((x * y) / x),x) = K(x \ y,x). [para(142(a,1),3678(a,1,1,2)),flip(a)]. given #3442 (H,wt=16): 3663 K(x \ y,x) \ 1 != z | K(x,y / x) = z. [para(115(a,1),3662(a,1,1,1))]. given #3443 (H,wt=16): 3664 K(T(x,T(y,x)),T(y,x)) != z | K(x,y) = z. [para(3655(a,2),3662(a,1))]. given #3444 (H,wt=17): 3485 x \ ((T(y,x) \ y) * z) = ((y * x) / y) \ z. [hyper(75,a,3484,a(flip),b,3441,a),flip(a)]. given #3445 (H,wt=17): 3489 x \ ((K(y,x) \ x) * z) = (K(y,x) \ 1) * z. [para(3488(a,1),3067(a,1,1))]. given #3446 (H,wt=17): 3504 T(x / y,y) \ (x / y) = (y * (x / y)) / x. [para(19(a,1),3502(a,1,2)),flip(a)]. given #3447 (H,wt=15): 3685 (x * (y / x)) / y = (x \ y) \ (y / x). [para(115(a,1),3504(a,1,1)),flip(a)]. given #3448 (H,wt=15): 3686 (x * (y / x)) / y = x \ ((x \ y) \ y). [hyper(3339,a,3685,a(flip)),flip(a)]. given #3449 (H,wt=17): 3516 ((x \ y) * x) * T(x,y) = x * ((x \ y) * x). [para(3508(a,1),113(a,1,2))]. given #3450 (H,wt=17): 3518 (x * ((x \ y) * x)) / x = (x \ y) * T(x,y). [para(3508(a,1),1467(a,2,2))]. given #3451 (H,wt=17): 3536 T((x \ y) \ y,T(z,x)) = T(T(x,z),x \ y). [para(3521(a,1),221(a,1,1)),flip(a)]. given #3452 (H,wt=17): 3600 x * (y * x) != z * x | L(x,y,x) * y = z. [para(3598(a,1),149(a,1,2)),flip(b)]. given #3453 (H,wt=17): 3612 T(x \ 1,(x \ 1) \ y) = T(x \ 1,x * y). [hyper(189,a,2394,a(flip),b,3610,a(flip))]. given #3454 (H,wt=15): 3689 T(x \ 1,x * y) = ((x \ 1) \ y) \ y. [hyper(315,a,3612,a),flip(a)]. given #3455 (H,wt=17): 3615 T((x \ 1) \ y,T(x,y)) = T((x \ 1) \ y,x). [para(3613(a,1),3331(a,1,2))]. given #3456 (H,wt=17): 3616 (x \ ((1 / x) \ y)) * T(x,y) = (1 / x) \ y. [para(3614(a,1),145(a,1,2))]. given #3457 (H,wt=17): 3620 T(T(x,y),(z \ 1) * x) = T(T(x,z \ x),y). [para(1570(a,1),3511(a,1,1)),flip(a)]. given #3458 (H,wt=17): 3622 T(x,(x \ y) * T(x,y)) = T(x,(x \ y) * x). [para(3519(a,1),3521(a,1,2)),flip(a)]. given #3459 (H,wt=13): 3693 T(x,(x \ y) * T(x,y)) = T(x,y). [hyper(189,a,3508,a(flip),b,3622,a)]. given #3460 (H,wt=16): 3694 R(T(x,y),x \ y,T(x,y)) = T(x,x \ y). [para(3693(a,1),1487(a,1,1))]. given #3461 (H,wt=17): 3623 (T(x,y / z) \ x) * y = z * T(z \ y,x). [hyper(20,a,1062,a,b,3546,a)]. given #3462 (H,wt=17): 3645 x * T(x / (x / y),x) = y * ((y \ x) * y). [para(3643(a,2),344(a,1,2))]. given #3463 (H,wt=17): 3682 x * (((y * x) / y) \ z) = (T(y,x) \ y) * z. [para(3485(a,1),17(a,1,2))]. given #3464 (H,wt=17): 3683 x \ (y * (T(y,x) \ y)) = ((y * x) / y) \ y. [para(2748(a,1),3485(a,1,2))]. given #3465 (H,wt=15): 3697 ((x * y) / x) \ x = y \ ((y * x) / y). [para(3544(a,2),3683(a,1,2)),flip(a)]. given #3466 (H,wt=15): 3698 K(((x * y) / x) \ x,y) = K(y \ x,y). [para(3697(a,2),3679(a,1,1))]. given #3467 (H,wt=17): 3684 x * ((K(y,x) \ 1) * z) = (K(y,x) \ x) * z. [para(3489(a,1),17(a,1,2))]. given #3468 (H,wt=17): 3691 ((x \ 1) \ (x \ y)) \ (x \ y) = T(x \ 1,y). [para(17(a,1),3689(a,1,2)),flip(a)]. given #3469 (H,wt=17): 3692 T(T(x,y),(z \ 1) * x) = T(T(x,y),z \ x). [hyper(189,a,41,a,b,3620,a)]. given #3470 (H,wt=18): 3494 (x \ T(x,y)) \ (T(x,y) * z) != u | x * z = u. [para(3477(a,1),237(a,1,2)),flip(b)]. given #3471 (H,wt=18): 3566 (x * y) \ (y * T(x,x \ y)) = a(x,y / x,x). [para(3533(a,1),701(a,1,2,2))]. given #3472 (H,wt=18): 3569 T(x,y \ 1) \ x != z | y * T(y \ 1,x) = z. [para(3542(a,2),2639(a,1))]. given #3473 (H,wt=18): 3570 T(x,y \ 1) \ x != z | K(x \ (x / y),x) = z. [para(3542(a,2),2644(a,1))]. given #3474 (H,wt=18): 3574 T(T(x,y),T(y,x)) != z | T(y,x) \ (x * y) = z. [para(3549(a,1),307(a,1,1))]. given #3475 (H,wt=13): 3702 T(x,y) \ (y * x) = T(T(y,x),x). [hyper(3574,a,3530,a)]. given #3476 (H,wt=13): 3703 T(x,y) * T(T(y,x),x) = y * x. [para(3702(a,1),17(a,1,2))]. given #3477 (H,wt=18): 3605 L(x,y,x) * T(y,x) != z | y * L(x,y,x) = z. [para(3603(a,1),205(a,1,2))]. given #3478 (H,wt=18): 3644 T(T(x / (x / y),x),z) = L(T(y,z),y \ x,y). [para(3643(a,2),43(a,2,1)),flip(a)]. given #3479 (H,wt=18): 3646 x * T(y,z) != y * L(z,y,z) | L(z,y,z) = x. [para(3604(a,1),23(a,1)),flip(a)]. given #3480 (H,wt=18): 3673 T(x * y,x) * T(x,y) = (x * y) * R(x,y,x). [para(3668(a,1),1666(a,1,1))]. given #3481 (H,wt=18): 3700 (x \ T(x,y)) \ z != u | x * (T(x,y) \ z) = u. [para(17(a,1),3494(a,1,2))]. given #3482 (H,wt=19): 3496 R(K(x,y),x,z) = L(x \ T(x,T(y,x)),T(y,x),x). [para(3493(a,1),3429(a,1,1)),flip(a)]. given #3483 (H,wt=10): 3705 R(K(x,y),x,z) = K(x,y). [hyper(189,a,3344,a,b,3496,a)]. given #3484 (H,wt=15): 3707 (K(x,y) * x) * z = K(x,y) * (x * z). [para(3705(a,1),110(a,1,1)),flip(a)]. given #3485 (H,wt=8): 3708 L(x,y,K(y,z)) = x. [hyper(346,a,3707,a)]. given #3486 (H,wt=10): 3711 L(x,y,K(y,z)) = 1 * x. [hyper(189,a,14,a,b,3708,a)]. given #3487 (H,wt=11): 3714 L(x,y,K(y,z)) != u | u = x. [para(3711(a,2),77(a,1))]. given #3488 (H,wt=15): 3709 (x * K(x,y)) * z = K(x,y) * (x * z). [para(2650(a,1),3707(a,1,1))]. given #3489 (H,wt=15): 3715 K(x,y) * (x * y) = x * (y * K(x,y)). [hyper(189,a,3661,a(flip),b,3709,a(flip))]. given #3490 (H,wt=19): 3498 (x * T(x \ y,z)) / y = (y / x) \ T(y / x,z). [hyper(189,a,2898,a(flip),b,3495,a(flip)),flip(a)]. given #3491 (H,wt=19): 3534 T(x,y) * L(T(y,x),z,u) = L(y,z,u) * T(x,y). [para(3521(a,1),159(a,1,2,1))]. given #3492 (H,wt=18): 3719 T(x,y) * T(y,y * x) = L(y,x,y) * T(x,y). [para(554(a,1),3534(a,1,2))]. given #3493 (H,wt=16): 3720 T(x,y) * T(y,y * x) = x * L(y,x,y). [hyper(189,a,3604,a(flip),b,3719,a)]. given #3494 (H,wt=16): 3722 T(x,y) * T(y,x * y) = x * L(y,x,y). [para(3507(a,2),3720(a,1,2))]. given #3495 (H,wt=17): 3723 L(x,T(y,x),x) * T(y,x) = y * L(x,y,x). [hyper(189,a,564,a,b,3722,a(flip)),flip(a)]. given #3496 (H,wt=11): 3724 L(x,T(y,x),x) = L(x,y,x). [hyper(3646,a,3723,a),flip(a)]. given #3497 (H,wt=14): 3725 T(x * L(y,x,y),y) = T(x,y) * y. [para(3723(a,1),3598(a,1,1))]. given #3498 (H,wt=16): 3726 ((x * (y * x)) / x) / y = L(x,T(y,x),x). [hyper(189,a,3595,a,b,3724,a),flip(a)]. given #3499 (H,wt=16): 3727 L(x,T(y,y * x),x) = L(x,L(y,x,y),x). [para(557(a,1),3724(a,1,2))]. given #3500 (H,wt=19): 3535 T(x,y) * R(T(y,x),z,u) = R(y,z,u) * T(x,y). [para(3521(a,1),160(a,1,2,1))]. given #3501 (H,wt=19): 3552 ((x * (y / x)) / T(x,y)) * x = T(x * (y / x),x). [para(3510(a,1),3522(a,1,1,2))]. given #3502 (H,wt=19): 3581 T(x,y) * (x \ T(x * (y / x),x)) = x * (y / x). [para(3510(a,1),3557(a,1,1))]. given #3503 (H,wt=15): 3732 T(x,y) * (T(y,x) / x) = x * (y / x). [para(1178(a,1),3581(a,1,2))]. given #3504 (H,wt=15): 3733 T(x,y) * (y / T(x,y)) = x * (y / x). [para(3523(a,1),3732(a,1,2))]. given #3505 (H,wt=19): 3592 (x * (x * y)) \ ((x * y) * x) = K(y * x,T(x,y)). [para(3545(a,1),623(a,1,1))]. given #3506 (H,wt=13): 3734 K(x * y,T(y,x)) = K(y * x,y). [hyper(240,a,3592,a),flip(a)]. given #3507 (H,wt=16): 3735 K(x * y,T(y,x)) != z | K(y * x,y) = z. [para(3592(a,1),240(a,1))]. given #3508 (H,wt=19): 3593 x \ T(x,T(y,(y \ 1) * x) \ 1) = K(x,y \ 1). [hyper(189,a,3397,a,b,3572,a),flip(a)]. given #3509 (H,wt=17): 3736 x \ T(x,T(y,y \ x) \ 1) = K(x,y \ 1). [para(3610(a,1),3593(a,1,2,2,1))]. given #3510 (H,wt=17): 3737 T(x,T(y,y \ x) \ 1) = x * K(x,y \ 1). [para(3736(a,1),17(a,1,2)),flip(a)]. given #3511 (H,wt=13): 3738 K(x,(y \ x) / x) = K(x,y \ 1). [hyper(3396,a,3737,a)]. given #3512 (H,wt=17): 3739 K(x \ ((x \ 1) \ y),x) = K(y,(x \ 1) \ 1). [hyper(189,a,3415,a,b,3738,a(flip)),flip(a)]. given #3513 (H,wt=13): 3740 K(x \ ((x \ 1) \ y),x) = K(y,x). [hyper(189,a,3081,a(flip),b,3739,a)]. given #3514 (H,wt=13): 3741 K(x \ ((1 / x) \ y),x) = K(y,x). [hyper(189,a,3096,a,b,3740,a(flip)),flip(a)]. given #3515 (H,wt=13): 3742 K((1 / x) * y,x) = K(x \ y,x). [para(16(a,1),3741(a,1,1,2)),flip(a)]. given #3516 (H,wt=17): 3743 K((x \ 1) \ y,x \ 1) = K(x * y,x \ 1). [para(67(a,1),3742(a,1,1,1)),flip(a)]. given #3517 (H,wt=19): 3630 x * (T(x,y \ 1) \ x) = y * ((x \ (y \ x)) * x). [para(3568(a,2),2795(a,2,2)),flip(a)]. given #3518 (H,wt=19): 3634 (x * (y \ x)) / (x / y) = (x / y) * (x / (x / y)). [hyper(76,a,3633,a(flip),b,485,a)]. given #3519 (H,wt=15): 3744 (x / y) * (x / (x / y)) = (y \ x) * y. [hyper(189,a,3642,a(flip),b,3634,a(flip))]. given #3520 (H,wt=15): 3745 ((x \ y) * x) * x = y * (y / (y / x)). [para(3744(a,1),1603(a,1,1))]. given #3521 (H,wt=19): 3666 ((x * y) * T(x,y)) / (x * y) != z | R(x,y,x) = z. [para(3524(a,1),248(a,1,1)),flip(b)]. given #3522 (H,wt=19): 3671 (x * y) \ (x * T(z * y,z)) = L(R(z,y,z),y,x). [para(3667(a,1),104(a,1,1)),flip(a)]. given #3523 (H,wt=19): 3681 L(x \ T(x,T(y,x)),T(y,x),x) != z | K(x,y) = z. [para(3368(a,2),3664(a,1))]. given #3524 (H,wt=13): 3747 R(K(x,y),x,z) != u | K(x,y) = u. [para(3496(a,2),3681(a,1))]. given #3525 (H,wt=19): 3687 x \ ((x \ (y \ x)) \ (y \ x)) = x \ T(x,y \ 1). [hyper(189,a,3376,a(flip),b,3686,a(flip))]. given #3526 (H,wt=17): 3748 (x \ T(x,y \ 1)) * x = T(x,x \ (y \ x)). [para(3687(a,1),2812(a,1,1))]. given #3527 (H,wt=13): 3749 T(x,x \ (y \ x)) = T(x,y \ 1). [hyper(2803,a,3748,a),flip(a)]. given #3528 (H,wt=13): 3751 T(x,(x / y) \ 1) = T(x,x \ y). [para(69(a,1),3749(a,1,2,2)),flip(a)]. given #3529 (H,wt=15): 3752 (x \ (y \ x)) * T(x,y \ 1) = y \ x. [para(3749(a,1),145(a,1,2))]. given #3530 (H,wt=15): 3754 (x / y) \ T(x,x \ y) = x * (y / x). [para(3751(a,1),3363(a,1,2))]. given #3531 (H,wt=17): 3750 T(x * y,(x * y) \ y) = T(x * y,x \ 1). [para(16(a,1),3749(a,1,2,2))]. given #3532 (H,wt=15): 3757 T(x * y,x \ 1) = ((x * y) \ y) \ y. [hyper(315,a,3750,a),flip(a)]. given #3533 (H,wt=15): 3758 x / T(y * x,y \ 1) = (y * x) \ x. [para(3750(a,1),174(a,1,2))]. given #3534 (H,wt=17): 3755 (x \ ((y \ 1) \ x)) * T(x,y) = (y \ 1) \ x. [para(2671(a,1),3752(a,1,2))]. given #3535 (H,wt=17): 3759 T((x \ 1) * y,x) = (((x \ 1) * y) \ y) \ y. [hyper(189,a,2671,a(flip),b,3757,a(flip)),flip(a)]. given #3536 (H,wt=19): 3721 T(x,y) * T(y,y * x) != x * z | L(y,x,y) = z. [para(3720(a,2),22(a,1))]. given #3537 (H,wt=20): 3499 (x \ 1) * T((x \ 1) \ 1,y) != z | x \ T(x,y) = z. [para(326(a,2),3492(a,1))]. given #3538 (H,wt=20): 3503 (x * y) * z != y * x | T(T(x,y) \ x,x * y) = z. [para(3500(a,1),148(a,2))]. given #3539 (H,wt=20): 3514 x * L(T(y,x * y),z,u) = L(L(y,x,y),z,u) * x. [para(3507(a,2),562(a,1,2,1))]. given #3540 (H,wt=20): 3537 T(x,y) * T(T(y,x),z) != u | T(y,z) * T(x,y) = u. [para(3521(a,1),302(a,1,2,1))]. given #3541 (H,wt=20): 3621 (x * ((x \ y) * x)) / x != z | (x \ y) * T(x,y) = z. [para(3519(a,1),250(a,1,1,2)),flip(b)]. given #3542 (H,wt=20): 3675 T(x,x \ T(x * y,y)) \ T(x * y,y) = R(y,x,y). [hyper(3539,a,3382,a)]. given #3543 (H,wt=14): 3761 T(x,y) \ T(x * y,y) = R(y,x,y). [para(3648(a,1),3675(a,1,1))]. given #3544 (H,wt=16): 3762 (x \ (y * x)) \ T(y * x,x) = R(x,y,x). [para(35(a,1),3761(a,1,1))]. given #3545 (H,wt=20): 3699 (K(x,y) \ y) * z != y * u | (K(x,y) \ 1) * z = u. [para(3684(a,1),22(a,1))]. given #3546 (H,wt=20): 3716 K(x,y) \ (x * (y * K(x,y))) != y * z | T(x,y) = z. [para(3715(a,1),291(a,1,2))]. given #3547 (H,wt=20): 3729 R(x,y,x) * T(x * y,x) = T(x * y,x) * T(x,y). [para(3513(a,1),3535(a,1,2)),flip(a)]. given #3548 (H,wt=19): 3763 R(x,y,x) * T(x * y,x) = (x * y) * R(x,y,x). [hyper(189,a,3673,a(flip),b,3729,a)]. given #3549 (H,wt=20): 3730 R(x,x \ y,x) * T(y,x) = T(y,x) * T(x,x \ y). [para(3517(a,1),3535(a,1,2)),flip(a)]. given #3550 (H,wt=20): 3731 R(x,y / x,x) * T(y,x) = T(y,x) * T(x,x \ y). [para(3561(a,1),3535(a,1,2)),flip(a)]. given #3551 (H,wt=13): 3766 R(x,y / x,x) = R(x,x \ y,x). [hyper(21,a,3730,a,b,3731,a)]. given #3552 (H,wt=13): 3767 R(x,(x * y) / x,x) = R(x,y,x). [para(16(a,1),3766(a,2,2))]. given #3553 (H,wt=11): 3769 R(x,T(y,x),x) = R(x,y,x). [para(143(a,1),3767(a,1,2)),flip(a)]. given #3554 (H,wt=13): 3770 R(x,T(y,x),T(x,y)) = R(x,y,x). [hyper(189,a,3669,a,b,3769,a(flip)),flip(a)]. given #3555 (H,wt=16): 3768 R(x,x \ y,x) * y = (x * (y / x)) * x. [para(3766(a,1),375(a,1,1))]. given #3556 (H,wt=17): 3771 R(T(x,y),T(z,x),T(x,z)) = T(R(x,z,x),y). [para(3770(a,1),45(a,2,1))]. given #3557 (H,wt=17): 3774 R(T(x,y),T(z,x),T(x,z)) = R(T(x,y),z,x). [hyper(189,a,45,a,b,3771,a)]. given #3558 (H,wt=19): 3772 R(R(x,y,z),T(u,x),T(x,u)) = R(R(x,u,x),y,z). [para(3770(a,1),49(a,1,1)),flip(a)]. given #3559 (H,wt=19): 3773 (x * (y / x)) * x != z * y | R(x,x \ y,x) = z. [para(3768(a,1),23(a,1))]. given #3560 (H,wt=20): 3760 T(L(L(x,y,x),z,u) * y,x) = L(x,z,u) * T(y,x). [para(3514(a,1),1626(a,1,1))]. given #3561 (H,wt=21): 3625 (x / T(y,x)) * T(y,y \ T(x,y)) = y * (T(x,y) / y). [para(3523(a,1),3562(a,1,1))]. given #3562 (H,wt=21): 3659 (R(x,y,z) * K(x,u)) * w = R(x,y,z) * (K(x,u) * w). [para(3658(a,1),382(a,1,1,1)),flip(a)]. given #3563 (H,wt=21): 3696 x * K(((x * y) / x) \ x,y) = (x * ((y \ x) * y)) / x. [para(3683(a,1),3440(a,1,2,1))]. given #3564 (H,wt=17): 3777 (x * ((y \ x) * y)) / x = x * K(y \ x,y). [para(3698(a,1),3696(a,1,2)),flip(a)]. given #3565 (H,wt=9): 3778 T(x,(y \ x) * y) = x. [hyper(3407,a,3777,a)]. given #3566 (H,wt=9): 3780 T(x,y * (x / y)) = x. [para(69(a,1),3778(a,1,2,1))]. given #3567 (H,wt=13): 3781 T(T(x,y),z * (x / z)) = T(x,y). [para(3780(a,1),41(a,1,1)),flip(a)]. given #3568 (H,wt=20): 3779 (x * ((y \ x) * y)) / x != x * z | K(y \ x,y) = z. [para(3777(a,2),22(a,1))]. given #3569 (H,wt=21): 3717 ((x \ y) / y) \ T((x \ y) / y,z) = x * T(x \ 1,z). [hyper(917,a,3498,a),flip(a)]. given #3570 (H,wt=19): 3782 T(x,T((y \ z) / z,x)) = (y * T(y \ 1,x)) \ x. [para(3717(a,1),3302(a,1,1)),flip(a)]. given #3571 (H,wt=17): 3783 T(x,T((y \ z) / z,x)) = T(x,T(y \ 1,x)). [hyper(189,a,3308,a(flip),b,3782,a)]. given #3572 (H,wt=15): 3784 T(x,T(y \ 1,x)) = T(x,(y \ z) / z). [hyper(3594,a,3783,a),flip(a)]. given #3573 (H,wt=13): 3785 T(x,(y \ z) / z) = T(x,y \ 1). [hyper(3594,a,3784,a),flip(a)]. given #3574 (H,wt=13): 3786 T(x,y / (z * y)) = T(x,z \ 1). [para(16(a,1),3785(a,1,2,1))]. given #3575 (H,wt=13): 3787 T(x,(y / z) \ 1) = T(x,z / y). [para(69(a,1),3785(a,1,2,1)),flip(a)]. given #3576 (H,wt=21): 3775 R(T(T(x,y),z),T(u,x),T(x,u)) = T(R(T(x,y),u,x),z). [para(3774(a,1),45(a,2,1))]. given #3577 (H,wt=21): 3794 R(T(T(x,y),z),T(u,x),T(x,u)) = R(T(T(x,y),z),u,x). [hyper(189,a,45,a,b,3775,a)]. given #3578 (H,wt=22): 3577 (x * y) \ (T(x,y) * (T(y,x) * z)) = L(z,T(y,x),T(x,y)). [para(3551(a,1),31(a,2,1)),flip(a)]. given #3579 (H,wt=22): 3579 R(x,T(y,z),T(z,y)) * (y * z) = (x * T(y,z)) * T(z,y). [para(3551(a,1),110(a,1,2))]. given #3580 (H,wt=22): 3632 (x * (y / x)) * x != z * u | (y * T(x,x \ y)) / u = z. [para(3584(a,2),552(a,1))]. given #3581 (H,wt=22): 3793 T(x \ T(x,(y * z) / z),T(y,u)) = R(x \ T(x,y),y,z). [para(3787(a,1),3436(a,1,1,2))]. given #3582 (H,wt=18): 3796 T(x \ T(x,y),T(y,z)) = R(x \ T(x,y),y,u). [para(18(a,1),3793(a,1,1,2,2))]. given #3583 (H,wt=14): 3797 R(x \ T(x,y),y,z) = x \ T(x,y). [hyper(189,a,2784,a(flip),b,3796,a(flip))]. given #3584 (H,wt=17): 3798 (x \ T(x,y)) \ (((x * y) / x) * z) = y * z. [para(3797(a,1),3295(a,1,1))]. given #3585 (H,wt=15): 3800 (x \ T(x,x \ y)) \ y = (x \ y) * x. [para(71(a,1),3798(a,1,2))]. given #3586 (H,wt=15): 3803 (x \ ((x \ y) \ y)) \ y = (x \ y) * x. [para(114(a,1),3800(a,1,1,2))]. given #3587 (H,wt=15): 3804 x / ((y \ x) * y) = y \ ((y \ x) \ x). [para(3803(a,1),67(a,1,2))]. given #3588 (H,wt=15): 3805 (x * (y / x)) / y = y / ((x \ y) * x). [hyper(189,a,3686,a,b,3804,a),flip(a)]. given #3589 (H,wt=18): 3799 L(x,y \ 1,(z * y) / z) = y * ((y \ 1) * x). [hyper(3310,a,3798,a)]. given #3590 (H,wt=17): 3806 L(x,y \ 1,(z * y) / z) = L(x,y \ 1,y). [hyper(189,a,166,a(flip),b,3799,a)]. given #3591 (H,wt=17): 3807 L(x,y \ 1,y * K(z,y)) = L(x,y \ 1,y). [para(3395(a,1),3806(a,1,3))]. given #3592 (H,wt=18): 3808 L((x \ 1) \ y,x \ 1,x * K(z,x)) = x * y. [hyper(189,a,362,a(flip),b,3807,a)]. given #3593 (H,wt=23): 3490 T(x,y \ 1) * (x \ (y * z)) = y * ((x \ T(x,y \ 1)) * z). [hyper(189,a,3412,a(flip),b,3476,a(flip))]. given #3594 (H,wt=23): 3491 T(x,y) * (x \ (z * K(x \ 1,x))) = ((x \ 1) * T(x,y)) * z. [hyper(189,a,3040,a(flip),b,3476,a(flip))]. given #3595 (H,wt=21): 3811 T(x,y) * (T(x,x \ 1) \ z) = ((x \ 1) * T(x,y)) * z. [para(2497(a,1),3491(a,1,2))]. given #3596 (H,wt=23): 3538 T(x,y) * R(T(T(y,x),z),u,w) = R(T(y,z),u,w) * T(x,y). [para(3521(a,1),509(a,1,2,1,1))]. given #3597 (H,wt=23): 3575 (T(x,y) * (y * x)) / T(x,y) = T(y,x) * T(T(x,y),y * x). [para(3549(a,1),1463(a,1,1)),flip(a)]. given #3598 (H,wt=23): 3626 (x * T(y,y \ x)) / T(y,z) = ((y * (x / y)) / T(y,z)) * y. [hyper(76,a,3565,a(flip),b,1484,a)]. given #3599 (H,wt=23): 3746 ((x \ T(y,x)) * T(x,y)) * T(x,y) = y * (y / (y / T(x,y))). [para(3529(a,1),3745(a,1,1,1))]. given #3600 (H,wt=23): 3765 T(x,y) * T(y,y \ x) != z * T(x,y) | R(y,y \ x,y) = z. [para(3730(a,1),23(a,1))]. given #3601 (H,wt=23): 3809 K(x,y) * (z * T(z \ (y * z),u)) = (K(x,y) * T(y,u)) * z. [para(3808(a,1),2862(a,1,2,2,1,2))]. given #3602 (H,wt=19): 3816 (K(x,y) * T(y,z)) * u = K(x,y) * (T(y,z) * u). [para(322(a,1),3809(a,1,2)),flip(a)]. given #3603 (H,wt=10): 3818 L(x,T(y,z),K(u,y)) = x. [hyper(346,a,3816,a)]. given #3604 (H,wt=8): 3819 L(x,y,K(z,y)) = x. [para(112(a,1),3818(a,1,2))]. given #3605 (H,wt=10): 3821 L(x,y,T(y,z) \ y) = x. [para(2744(a,1),3819(a,1,3))]. given #3606 (H,wt=14): 3822 L(x,T(y,z) \ y,y) = y * (y \ x). [para(3821(a,1),3428(a,1,2)),flip(a)]. given #3607 (H,wt=10): 3823 L(x,T(y,z) \ y,y) = x. [hyper(189,a,17,a(flip),b,3822,a)]. given #3608 (H,wt=8): 3827 L(x,K(y,z),z) = x. [para(3628(a,2),3823(a,1,2))]. given #3609 (H,wt=15): 3820 (K(x,y) * y) * z = K(x,y) * (y * z). [para(3819(a,1),102(a,1,2))]. given #3610 (H,wt=10): 3831 R(K(x,y),y,z) = K(x,y). [hyper(376,a,3820,a)]. given #3611 (H,wt=15): 3828 (x * K(y,x)) * z = x * (K(y,x) * z). [para(3827(a,1),102(a,1,2))]. given #3612 (H,wt=8): 3833 R(x,K(y,x),z) = x. [hyper(376,a,3828,a)]. given #3613 (H,wt=12): 3835 R(T(x,y),K(z,x),u) = T(x,y). [para(3833(a,1),45(a,2,1))]. given #3614 (H,wt=15): 3829 (x * (K(y,x) * z)) / z = x * K(y,x). [para(3827(a,1),128(a,1,2))]. given #3615 (H,wt=15): 3832 (x * K(y,x)) * z = K(y,x) * (x * z). [para(2754(a,1),3820(a,1,1))]. given #3616 (H,wt=15): 3840 (x * K(y,x)) * (x \ z) = K(y,x) * z. [hyper(189,a,89,a(flip),b,3832,a)]. given #3617 (H,wt=15): 3841 K(x,y) * (y * z) = y * (K(x,y) * z). [hyper(189,a,3828,a(flip),b,3832,a(flip))]. given #3618 (H,wt=18): 3830 (x * K(y,x)) * z != u | x * (K(y,x) * z) = u. [para(3827(a,1),207(a,1,2))]. given #3619 (H,wt=18): 3836 x * (K(y,x) * z) != u | (x * K(y,x)) * z = u. [para(3833(a,1),204(a,1,1))]. given #3620 (H,wt=18): 3844 x * (K(y,x) * (x \ z)) != u | K(y,x) * z = u. [para(3841(a,1),254(a,1))]. given #3621 (H,wt=19): 3837 (T(x,y) * K(z,x)) * u = T(x,y) * (K(z,x) * u). [para(3833(a,1),380(a,1,1,1)),flip(a)]. given #3622 (H,wt=21): 3839 K(x,y) \ (z * (y * K(x,y))) = y * T(z,y * K(x,y)). [hyper(428,a,3832,a)]. given #3623 (H,wt=11): 3849 T(x,y * K(x,y)) = T(x,y). [hyper(3716,a,3839,a),flip(a)]. given #3624 (H,wt=22): 3838 R(T(x,((x * y) \ x) \ K(y,x)),K(z,x),u) = K(y,x) \ x. [hyper(189,a,3394,a(flip),b,3835,a)]. given #3625 (H,wt=16): 3851 R(K(x,y) \ y,K(z,y),u) = K(x,y) \ y. [para(3394(a,1),3838(a,1,1))]. given #3626 (H,wt=15): 3852 (x * y) / (K(z,x) * y) = K(z,x) \ x. [hyper(189,a,2859,a(flip),b,3851,a(flip)),flip(a)]. given #3627 (H,wt=15): 3854 (K(x,y) \ y) * (K(x,y) * z) = y * z. [para(3852(a,1),19(a,1,1))]. given #3628 (H,wt=13): 3855 (K(x,y) \ 1) * (K(x,y) * z) = z. [hyper(3699,a,3854,a)]. given #3629 (H,wt=12): 3856 L(x,K(y,z) \ 1,K(y,z)) = x. [hyper(1912,a,3855,a)]. given #3630 (H,wt=13): 3858 (K(x,y) \ 1) \ z = K(x,y) * z. [hyper(80,a,3855,a)]. given #3631 (H,wt=13): 3862 x * (1 / K(y,z)) = x / K(y,z). [hyper(1893,a,3858,a)]. given #3632 (H,wt=13): 3863 (K(x,y) \ z) \ z = T(K(x,y),z). [hyper(147,a,3858,a(flip),b,3631,a),flip(a)]. given #3633 (H,wt=13): 3865 x * (K(y,z) \ 1) = x / K(y,z). [para(2004(a,1),3862(a,1,2))]. given #3634 (H,wt=13): 3866 x / T(K(y,z),x) = K(y,z) \ x. [para(3863(a,1),67(a,1,2))]. given #3635 (H,wt=13): 3867 (x * y) \ (y * x) = K(x,y) \ 1. [hyper(75,a,127,a(flip),b,3865,a)]. given #3636 (H,wt=9): 3871 K(x,y) \ 1 = K(y,x). [hyper(240,a,3867,a),flip(a)]. given #3637 (H,wt=9): 3874 K(x,T(y,x)) = K(x,y). [hyper(3662,a,3871,a),flip(a)]. given #3638 (H,wt=9): 3875 1 / K(x,y) = K(y,x). [hyper(2006,a,3871,a)]. given #3639 (H,wt=9): 3876 K(T(x,y),y) = K(x,y). [hyper(189,a,3655,a,b,3871,a(flip)),flip(a)]. given #3640 (H,wt=9): 3878 K(x,y) * K(y,x) = 1. [para(3871(a,1),17(a,1,2))]. given #3641 (H,wt=10): 3888 L(x,K(y,z),K(z,y)) = x. [para(3871(a,1),3856(a,1,2))]. given #3642 (H,wt=11): 3873 K(x,y / x) = K(x,x \ y). [hyper(3663,a,3871,a)]. given #3643 (H,wt=11): 3877 (x * K(y,x)) \ x = K(x,y). [hyper(189,a,3069,a,b,3871,a(flip)),flip(a)]. given #3644 (H,wt=11): 3884 K(x,y) \ x = x * K(y,x). [para(3871(a,1),2985(a,1,2)),flip(a)]. given #3645 (H,wt=11): 3887 K(x,y) * (K(y,x) * z) = z. [para(3871(a,1),3855(a,1,1))]. given #3646 (H,wt=11): 3889 K(x,y) \ z = K(y,x) * z. [para(3871(a,1),3858(a,1,1))]. given #3647 (H,wt=11): 3890 x / K(y,z) = x * K(z,y). [para(3871(a,1),3865(a,1,2)),flip(a)]. given #3648 (H,wt=11): 3891 K(x,x \ (y * x)) = K(x,y). [para(35(a,1),3874(a,1,2))]. given #3649 (H,wt=11): 3895 K(x \ (y * x),x) = K(y,x). [para(35(a,1),3876(a,1,1))]. given #3650 (H,wt=11): 3896 K(x / y,y) = K(y \ x,y). [para(115(a,1),3876(a,1,1)),flip(a)]. given #3651 (H,wt=11): 3905 x / (K(y,z) * x) = K(z,y). [hyper(88,a,3887,a)]. given #3652 (H,wt=11): 3918 (x * K(y,z)) \ x = K(z,y). [hyper(406,a,3890,a)]. given #3653 (H,wt=11): 3919 (x * K(y,z)) * K(z,y) = x. [hyper(248,a,3890,a)]. given #3654 (H,wt=12): 3872 K(x,y) \ 1 != z | K(y,x) = z. [para(3867(a,1),240(a,1))]. given #3655 (H,wt=12): 3879 x * K(y,z) != 1 | K(z,y) = x. [para(3871(a,1),87(a,1,2)),flip(b)]. given #3656 (H,wt=12): 3880 1 / K(x,y) != z | K(y,x) = z. [para(3871(a,1),246(a,1,2)),flip(b)]. given #3657 (H,wt=12): 3885 K(x,T(y,x)) != z | K(x,y) = z. [para(3871(a,1),3662(a,1))]. given #3658 (H,wt=12): 3894 K(x,y) * z != 1 | K(y,x) = z. [para(3875(a,1),82(a,1,1)),flip(b)]. given #3659 (H,wt=12): 3938 K(T(x,y),y) != z | K(x,y) = z. [para(3655(a,2),3872(a,1))]. given #3660 (H,wt=13): 3868 (x * K(y,z)) \ x = K(y,z) \ 1. [hyper(75,a,18,a(flip),b,3865,a)]. given #3661 (H,wt=13): 3900 (x * K(y,x)) \ 1 = x \ K(x,y). [hyper(75,a,3878,a(flip),b,3840,a)]. given #3662 (H,wt=13): 3902 x \ (y * (x / y)) = K(y,y \ x). [hyper(189,a,98,a,b,3873,a(flip)),flip(a)]. given #3663 (H,wt=13): 3903 x * K(y,y \ x) = y * (x / y). [para(3873(a,1),214(a,1,2))]. given #3664 (H,wt=13): 3913 x \ (K(y,z) \ x) = T(K(z,y),x). [hyper(75,a,3889,a,b,113,a)]. given #3665 (H,wt=13): 3917 (K(x,y) * z) \ z = T(K(y,x),z). [para(3889(a,1),3863(a,1,1))]. given #3666 (H,wt=13): 3926 (x * (y / x)) \ y = K(x \ y,x). [hyper(189,a,99,a,b,3896,a(flip)),flip(a)]. given #3667 (H,wt=13): 3946 (x * (y / x)) * K(x \ y,x) = y. [hyper(21,a,3919,a,b,3903,a),flip(a)]. given #3668 (H,wt=13): 3949 (K(x,y) * z) * T(K(y,x),z) = z. [para(3917(a,1),17(a,1,2))]. given #3669 (H,wt=14): 3907 K(x,y) * z != u | K(y,x) * u = z. [para(3887(a,1),22(a,1)),flip(a)]. given #3670 (H,wt=14): 3909 K(x,y) \ z != u | K(y,x) * z = u. [para(3887(a,1),237(a,1,2)),flip(b)]. given #3671 (H,wt=14): 3910 x / (K(y,z) * x) != u | K(z,y) = u. [para(3887(a,1),248(a,1,1)),flip(b)]. given #3672 (H,wt=14): 3914 K(x,y) * (K(y,x) * z) != u | u = z. [para(3889(a,1),203(a,1,2))]. given #3673 (H,wt=12): 3952 K(x,y) != z | K(y,x) \ 1 = z. [para(62(a,1),3914(a,1)),flip(b)]. given #3674 (H,wt=14): 3921 (x * K(y,z)) * K(z,y) != u | u = x. [para(3890(a,1),200(a,1,1))]. given #3675 (H,wt=14): 3922 (x * K(y,z)) \ x != u | K(z,y) = u. [para(3890(a,1),236(a,1,1)),flip(b)]. given #3676 (H,wt=14): 3929 x * K(y,z) != u | u * K(z,y) = x. [para(3918(a,1),87(a,1,2)),flip(b)]. given #3677 (H,wt=14): 3930 x / K(y,z) != u | x * K(z,y) = u. [para(3918(a,1),246(a,1,2)),flip(b)]. given #3678 (H,wt=14): 3939 K(x,y) \ 1 != z | K(T(y,x),x) = z. [para(3874(a,1),3872(a,1,1))]. given #3679 (H,wt=14): 3940 K(x,x \ (y * x)) != z | K(x,y) = z. [para(35(a,1),3885(a,1,2))]. given #3680 (H,wt=14): 3953 x * K(y,z) != u | x / K(z,y) = u. [para(19(a,1),3921(a,1,1)),flip(b)]. given #3681 (H,wt=15): 3870 (K(x,y) \ z) * K(x,y) = T(z,K(x,y)). [para(3866(a,1),3522(a,1,1))]. given #3682 (H,wt=15): 3906 K(x,y) * (K(x,z) * K(y,x)) = K(x,z). [hyper(20,a,1959,a(flip),b,3887,a)]. given #3683 (H,wt=15): 3931 ((x * K(y,z)) \ x) \ u = K(y,z) * u. [para(3918(a,2),3889(a,1,1))]. given #3684 (H,wt=15): 3932 T(x * K(y,z),K(z,y)) = K(y,z) * x. [hyper(147,a,3919,a,b,3887,a)]. given #3685 (H,wt=15): 3955 T(K(x,y) * z,K(x,y)) = z * K(x,y). [para(16(a,1),3870(a,1,1)),flip(a)]. given #3686 (H,wt=15): 3956 (K(x,y) * z) * K(y,x) = T(z,K(y,x)). [para(3889(a,1),3870(a,1,1))]. given #3687 (H,wt=15): 3958 T(x,K(y,z)) * K(z,y) = K(z,y) * x. [hyper(3929,a,3956,a)]. given #3688 (H,wt=11): 3959 T(T(x,K(y,z)),K(z,y)) = x. [hyper(147,a,3958,a,b,xx)]. given #3689 (H,wt=15): 3963 K(x,y) * K(z,y) = K(z,y) * K(x,y). [para(1958(a,1),3958(a,1,1))]. given #3690 (H,wt=16): 3860 (K(x,y) \ 1) \ z != u | K(x,y) * z = u. [para(3855(a,1),237(a,1,2)),flip(b)]. given #3691 (H,wt=16): 3881 K(x,y) * K(y,x) != z * u | z \ 1 = u. [para(3871(a,1),301(a,1,2))]. given #3692 (H,wt=16): 3899 K(R(x,y,x),y * x) = K(T(x,y),y * x). [para(613(a,1),3876(a,1,1)),flip(a)]. given #3693 (H,wt=16): 3911 K(x,y) \ z != z * u | T(K(y,x),z) = u. [para(3887(a,1),291(a,1,2))]. given #3694 (H,wt=16): 3943 x / (K(y,z) \ 1) != u | x * K(y,z) = u. [para(3868(a,1),246(a,1,2)),flip(b)]. given #3695 (H,wt=16): 3945 x * K(y,y \ x) != z | y * (x / y) = z. [para(3902(a,1),203(a,1,2)),flip(b)]. given #3696 (H,wt=16): 3950 (K(x,y) * z) * u != z | T(K(y,x),z) = u. [para(3949(a,1),22(a,1)),flip(a)]. given #3697 (H,wt=16): 3954 K(x,(x * y) / x) != z | K(T(x,y),y) = z. [para(3654(a,2),3939(a,1))]. given #3698 (H,wt=17): 3893 K(x,R(y / x,z,u)) = K(x,R(x \ y,z,u)). [para(163(a,1),3874(a,1,2)),flip(a)]. given #3699 (H,wt=17): 3941 K(T(x,x * y),y) != z | K(L(x,y,x),y) = z. [para(557(a,1),3938(a,1,1))]. given #3700 (H,wt=18): 3861 (K(x,y) \ 1) \ z != z * u | T(K(x,y),z) = u. [para(3855(a,1),291(a,1,2))]. given #3701 (H,wt=18): 3898 K(R(x \ y,x,z),x) = K((y * z) / (x * z),x). [para(518(a,1),3876(a,1,1))]. given #3702 (H,wt=18): 3908 K(x,y) * (K(y,x) * (z * u)) != z * w | w = u. [para(3887(a,2),22(a,2)),flip(a)]. given #3703 (H,wt=18): 3916 K(x,y) * (K(y,x) * z) != u * w | u \ z = w. [para(3889(a,1),253(a,1))]. given #3704 (H,wt=18): 3933 K(x,y) * z != u | T(u * K(y,x),K(x,y)) = z. [para(3919(a,1),148(a,2))]. given #3705 (H,wt=18): 3951 T(x,K(y,z)) != u | K(z,y) * (x * K(y,z)) = u. [para(35(a,2),3909(a,1))]. given #3706 (H,wt=18): 3960 K(x,y) * z != u * K(x,y) | T(z,K(y,x)) = u. [para(3958(a,1),23(a,1))]. given #3707 (H,wt=18): 3966 K(x,y) * z != u * w | u \ (K(y,x) \ z) = w. [para(63(a,1),3908(a,1,2)),flip(b)]. given #3708 (H,wt=19): 3944 K(((x / y) \ 1) \ y,(x / y) \ 1) = K(x,x \ y). [hyper(3398,a,3902,a)]. given #3709 (H,wt=19): 3964 K(x,y) * (y * K(z,y)) = (y * K(z,y)) * K(x,y). [para(3419(a,1),3958(a,1,1)),flip(a)]. given #3710 (H,wt=20): 3864 (K(x,y) \ 1) \ (K(x,y) \ z) != u * w | u \ z = w. [para(3858(a,2),301(a,1))]. given #3711 (H,wt=20): 3904 L(x * K(y,x),K(x,y),z) = (z * K(x,y)) \ (z * x). [para(3884(a,1),104(a,1,1))]. given #3712 (H,wt=20): 3915 L(K(x,y) * (z \ u),K(y,x),z) = (z * K(y,x)) \ u. [para(3889(a,1),183(a,1,1))]. given #3713 (H,wt=15): 3968 (x * K(y,x)) \ z = K(x,y) * (x \ z). [hyper(189,a,3827,a(flip),b,3915,a(flip))]. given #3714 (H,wt=13): 3969 K(x,y) * (x \ 1) = x \ K(x,y). [hyper(189,a,3900,a(flip),b,3968,a(flip))]. given #3715 (H,wt=13): 3970 (x \ 1) / (x \ K(x,y)) = K(y,x). [para(3969(a,1),3905(a,1,2))]. given #3716 (H,wt=16): 3971 (x \ 1) / (x \ K(x,y)) != z | K(y,x) = z. [para(3969(a,1),3910(a,1,2))]. given #3717 (H,wt=20): 3924 R((x / y) * K(z,u),K(u,z),y) = x / (K(u,z) * y). [para(3890(a,1),187(a,1,1))]. given #3718 (H,wt=20): 3962 T(x,K(y,z)) * K(z,y) != x * u | T(K(z,y),x) = u. [para(3958(a,2),148(a,2)),flip(a)]. given #3719 (H,wt=22): 3947 K(x,x \ y) * z != x * (y / x) | T(y,K(x,x \ y)) = z. [para(3903(a,1),148(a,2))]. given #3720 (H,wt=22): 3961 K(x,y) * z != K(x,y) * u | T(T(u,K(y,x)),K(x,y)) = z. [para(3958(a,1),148(a,2))]. given #3721 (H,wt=23): 3810 T(x,y \ 1) * (x \ (y * z)) = y * (T(x,y \ 1) * (x \ z)). [para(3476(a,1),3490(a,2,2))]. given #3722 (H,wt=23): 3814 ((x * (y / x)) / T(x,z)) * x = (y / T(x,z)) * T(x,x \ y). [hyper(189,a,2125,a(flip),b,3626,a(flip))]. given #3723 (H,wt=19): 3972 (x / T(y,x)) * T(y,y \ x) = T(y * (x / y),y). [hyper(189,a,3552,a(flip),b,3814,a(flip))]. given #3724 (H,wt=19): 3973 (x / T(y,x)) * T(y,y \ x) = y * (T(x,y) / y). [hyper(189,a,1176,a(flip),b,3972,a)]. given #3725 (H,wt=13): 3974 T(x,x \ T(y,x)) = T(x,x \ y). [hyper(20,a,3625,a,b,3973,a),flip(a)]. given #3726 (H,wt=13): 3976 T(x,T(x,y) \ y) = T(x,x \ y). [para(3529(a,2),3974(a,1,2))]. given #3727 (H,wt=15): 3975 T(x,y) / T(y,y \ x) = y \ T(x,y). [para(3974(a,1),174(a,1,2))]. given #3728 (H,wt=17): 3977 T(x * y,x) / T(x,y) = x \ T(x * y,x). [para(16(a,1),3975(a,1,2,2))]. given #3729 (H,wt=23): 3882 (x * y) \ ((y * x) * T(K(x,y),z)) = K(y,x) * T(K(x,y),z). [para(3871(a,1),1412(a,2,2,1))]. given #3730 (H,wt=24): 3576 (T(x,y) * (T(y,x) * z)) \ ((x * y) * z) = a(T(x,y),T(y,x),z). [para(3551(a,1),27(a,2,2,1)),flip(a)]. given #3731 (H,wt=24): 3695 R(x \ T(x,y),y,((x * y) / x) \ z) \ z = (T(x,y) \ x) * z. [hyper(189,a,3296,a,b,3682,a(flip)),flip(a)]. given #3732 (H,wt=15): 3978 (x \ T(x,y)) \ z = (T(x,y) \ x) * z. [para(3797(a,1),3695(a,1,1))]. given #3733 (H,wt=15): 3979 (T(x,y) \ x) * z = x * (T(x,y) \ z). [hyper(3700,a,3978,a),flip(a)]. given #3734 (H,wt=15): 3980 (T(x,y) \ x) * (T(x,y) * z) = x * z. [hyper(3494,a,3978,a),flip(a)]. given #3735 (H,wt=15): 3981 (x \ T(x,y)) \ z = T(y,x) * (y \ z). [hyper(189,a,3571,a,b,3978,a)]. given #3736 (H,wt=15): 3987 (T(x,y) \ x) \ z = T(x,y) * (x \ z). [hyper(75,a,17,a(flip),b,3980,a)]. given #3737 (H,wt=15): 3988 T(x,y) * (x \ (T(y,x) * z)) = y * z. [hyper(189,a,3571,a,b,3980,a(flip)),flip(a)]. given #3738 (H,wt=15): 3991 T(x,y) * (T(y,x) * z) = x * (y * z). [para(3980(a,1),3546(a,1,2)),flip(a)]. given #3739 (H,wt=16): 3982 (x \ T(x,y)) \ 1 != z | T(x,y) \ x = z. [para(3978(a,2),85(a,1)),flip(b)]. given #3740 (H,wt=17): 3989 ((x * y) / x) \ (T(x,y) * z) = y \ (x * z). [hyper(75,a,3980,a(flip),b,3682,a),flip(a)]. given #3741 (H,wt=17): 3992 x \ (((y * x) / y) * z) = T(x,y) \ (x * z). [hyper(75,a,3798,a(flip),b,3981,a(flip)),flip(a)]. given #3742 (H,wt=17): 3998 x \ (((y * x) / y) * z) = x * (T(x,y) \ z). [hyper(189,a,1000,a(flip),b,3992,a)]. given #3743 (H,wt=17): 3999 ((x * y) / x) * (y \ z) = y * (T(y,x) \ z). [hyper(189,a,1105,a(flip),b,3998,a(flip)),flip(a)]. given #3744 (H,wt=16): 4000 x * (T(x,y) \ x) != z | (y * x) / y = z. [para(3999(a,1),138(a,1))]. given #3745 (H,wt=18): 3993 T(x,y) * (T(y,x) * z) = (x * y) * L(z,y,x). [hyper(189,a,102,a,b,3991,a)]. given #3746 (H,wt=16): 4002 L(T(x,y) \ 1,x,y) = (y * x) \ T(y,x). [hyper(299,a,3993,a),flip(a)]. given #3747 (H,wt=18): 3994 (x * y) \ (x * (y * z)) = L(z,T(y,x),T(x,y)). [para(3991(a,1),3577(a,1,2))]. given #3748 (H,wt=13): 4004 L(x,T(y,z),T(z,y)) = L(x,y,z). [hyper(355,a,3994,a),flip(a)]. given #3749 (H,wt=17): 4005 L(x,y \ z,T(y,z / y)) = L(x,z / y,y). [para(115(a,1),4004(a,1,2))]. given #3750 (H,wt=18): 3996 (1 / x) \ (1 / T(x,y)) != z | T(x,y) \ x = z. [para(2729(a,2),3982(a,1))]. given #3751 (H,wt=18): 3997 x \ (y * ((y \ x) * z)) = L(z,y \ x,T(y,x)). [hyper(3321,a,3989,a),flip(a)]. given #3752 (H,wt=15): 4006 L(x,y \ z,T(y,z)) = L(x,y \ z,y). [hyper(577,a,3997,a),flip(a)]. given #3753 (H,wt=18): 4001 (x * y) \ (T(x,y) * z) = L(T(y,x) \ z,y,x). [hyper(432,a,3993,a)]. given #3754 (H,wt=18): 4003 T(x,y) * (T(y,x) * z) != u | x * (y * z) = u. [para(3993(a,2),207(a,1))]. given #3755 (H,wt=20): 3995 (x * (y * z)) \ ((x * y) * z) = a(T(x,y),T(y,x),z). [para(3991(a,1),3576(a,1,1))]. given #3756 (H,wt=13): 4009 a(T(x,y),T(y,x),z) = a(x,y,z). [hyper(553,a,3995,a),flip(a)]. given #3757 (H,wt=16): 4010 a(T(x,y),T(y,x),z) != u | a(x,y,z) = u. [para(3995(a,1),553(a,1))]. given #3758 (H,wt=20): 4008 T(x,T(y,x)) * (T(y,x) * z) != u | x * (y * z) = u. [para(3521(a,2),4003(a,1,1))]. given #3759 (H,wt=22): 3990 (T(x,y) \ x) * (T(x,y) * z) != u * w | u \ (x * z) = w. [para(3980(a,2),426(a,1))]. given #3760 (H,wt=24): 3776 (x / T(y,x)) * z != y * (T(x,y) / y) | T(y,y \ T(x,y)) = z. [para(3625(a,1),22(a,1)),flip(a)]. given #3761 (H,wt=24): 3795 (R(x,y,z) * T(u,x)) * T(x,u) = R(R(x,u,x),y,z) * (u * x). [para(3772(a,1),3579(a,1,1)),flip(a)]. given #3762 (H,wt=21): 4011 (R(x,y,z) * T(u,x)) * T(x,u) = (R(x,y,z) * u) * x. [hyper(189,a,382,a(flip),b,3795,a)]. given #3763 (H,wt=18): 4012 T(x * y,x) * T(x,y) = (R(x,y,x) * y) * x. [para(930(a,1),4011(a,1,1))]. given #3764 (H,wt=17): 4013 (R(x,y,x) * y) * x = (x * y) * R(x,y,x). [hyper(189,a,3673,a(flip),b,4012,a(flip))]. given #3765 (H,wt=20): 4014 (R(x,y,x) * y) \ ((x * y) * R(x,y,x)) != z | z = x. [para(4013(a,1),237(a,1,2))]. given #3766 (H,wt=24): 3801 (x \ T(x,y)) \ (((x * y) / x) * z) != u * w | u \ (y * z) = w. [para(3798(a,2),426(a,1))]. given #3767 (H,wt=24): 3813 (T(x,y) * (y * x)) / T(x,y) != z | T(x,y * x) * T(y,x) = z. [para(3575(a,2),3537(a,1))]. given #3768 (H,wt=24): 3934 x * L(y,K(z,u),x * K(u,z)) = (x * K(u,z)) * (K(z,u) * y). [para(3919(a,1),102(a,1,1))]. given #3769 (H,wt=24): 3948 L(K(x,x \ y) \ z,K(x,x \ y),y) = (x * (y / x)) \ (y * z). [para(3903(a,1),104(a,2,1))]. given #3770 (H,wt=24): 3967 K(x \ 1,x) * (x \ y) != z * u | z \ (((x \ 1) \ 1) \ y) = u. [para(2415(a,1),3916(a,1,2))]. given #3771 (H,wt=24): 4007 (x * (y / x)) \ (T(x,y / x) * z) = L((x \ y) \ z,y / x,x). [para(115(a,1),4001(a,2,1,1))]. given #3772 (H,wt=24): 4015 L(K(x \ y,x) * z,K(x,x \ y),y) = (x * (y / x)) \ (y * z). [para(3889(a,1),3948(a,1,1))]. given #3773 (H,wt=24): 4016 (x * (y / x)) \ (T(x,x \ y) * z) = L((x \ y) \ z,y / x,x). [para(3533(a,1),4007(a,1,2,1))]. given #3774 (H,wt=25): 3554 K(x \ 1,x) * T(y,(x \ 1) \ 1) = x * (T((x \ 1) \ 1,y) \ y). [para(3525(a,1),2443(a,1,2))]. given #3775 (H,wt=21): 4017 K(x \ 1,x) * T(y,x) = x * (T((x \ 1) \ 1,y) \ y). [para(2671(a,1),3554(a,1,2))]. given #3776 (H,wt=21): 4018 T(x * K(y \ 1,y),y) = y * (T((y \ 1) \ 1,x) \ x). [hyper(189,a,2493,a,b,4017,a(flip)),flip(a)]. given #3777 (H,wt=25): 3624 (x * (x * (T(x,y) \ y))) / T((x \ y) * x,x) = T(x,T(x,y) \ y). [para(3559(a,2),3548(a,2,2)),flip(a)]. given #3778 (H,wt=21): 4020 (x * T(y,x)) / T((x \ y) * x,x) = T(x,T(x,y) \ y). [para(3525(a,1),3624(a,1,1,2))]. given #3779 (H,wt=19): 4021 (x * y) / T((y \ x) * y,y) = T(y,T(y,x) \ x). [para(113(a,1),4020(a,1,1))]. given #3780 (H,wt=17): 4022 (x * y) / T((y \ x) * y,y) = T(y,y \ x). [hyper(189,a,3976,a(flip),b,4021,a)]. given #3781 (H,wt=25): 3704 L(T(x,y),z,u) \ (y * L(x,z,u)) = T(T(y,L(x,z,u)),L(x,z,u)). [para(43(a,2),3702(a,1,1))]. given #3782 (H,wt=25): 3812 (((x \ 1) \ 1) * T(x \ 1,y)) * z = T(1 / x,y) * ((x \ 1) \ z). [hyper(189,a,3003,a(flip),b,3811,a(flip))]. given #3783 (H,wt=21): 4024 T(1 / x,y) * ((x \ 1) \ z) = (x * T(1 / x,y)) * z. [para(2699(a,1),3812(a,1,1)),flip(a)]. given #3784 (H,wt=21): 4025 (T(1 / x,y) * z) / ((x * T(1 / x,y)) * z) = x \ 1. [para(4024(a,1),3012(a,1,2))]. given #3785 (H,wt=21): 4026 T(1 / x,y) * ((x * T(1 / x,y)) \ z) = (x \ 1) * z. [para(4025(a,1),210(a,1,1)),flip(a)]. given #3786 (H,wt=25): 3936 x * ((x \ R(x,y,z)) / R(x,y,z)) != u | K(R(x,y,z),x \ 1) = u. [para(3153(a,2),3872(a,1))]. given #3787 (H,wt=25): 3942 K(R(T(x,y * z),y,z),y) != u | K((y * z) \ ((y * x) * z),y) = u. [para(832(a,1),3938(a,1,1))]. given #3788 (H,wt=26): 3558 (T(x,y) * ((x \ T(y,x)) * z)) \ (y * z) = a(T(x,y),T(x,y) \ y,z). [para(3529(a,1),93(a,1,1,2,1))]. given #3789 (H,wt=26): 3590 T(x,y) * R(T(T(y,x),z),u,w) != v5 | R(T(y,z),u,w) * T(x,y) = v5. [para(3530(a,1),304(a,1,2,1))]. given #3790 (H,wt=26): 3629 (T(x,y \ 1) \ x) \ (y * (T(y \ 1,x) * z)) = L(z,T(y \ 1,x),y). [para(3568(a,2),31(a,2,1)),flip(a)]. given #3791 (H,wt=26): 3764 (R(x,y,x) * y) \ ((x * y) * R(x,y,x)) = L(R(x,y,x),y,R(x,y,x)). [para(3763(a,1),3671(a,1,2))]. given #3792 (H,wt=12): 4028 L(R(x,y,x),y,R(x,y,x)) = x. [hyper(4014,a,3764,a)]. given #3793 (H,wt=26): 3815 x * T(y,z) != z * (z / (z / T(y,z))) | (y \ T(z,y)) * T(y,z) = x. [para(3746(a,1),23(a,1)),flip(a)]. given #3794 (H,wt=26): 3834 (x * (K(y,x) * z)) \ ((x * K(y,x)) * (z * u)) = L(u,z,x * K(y,x)). [para(3828(a,1),31(a,2,1)),flip(a)]. given #3795 (H,wt=26): 3957 K(x,y) * T(K(y,x) * z,u) != w | T(z * K(y,x),u) * K(x,y) = w. [para(3932(a,1),302(a,1,2,1))]. given #3796 (H,wt=26): 4027 T(x,y \ 1) * (x \ (y * (T(y \ 1,x) * z))) = L(z,T(y \ 1,x),y). [hyper(189,a,3987,a(flip),b,3629,a(flip)),flip(a)]. given #3797 (H,wt=26): 4029 (x * (K(y,x) * z)) \ (x * (K(y,x) * (z * u))) = L(u,z,x * K(y,x)). [para(3828(a,1),3834(a,1,2))]. given #3798 (H,wt=26): 4030 x * (T(y,x \ 1) * (y \ (T(x \ 1,y) * z))) = L(z,T(x \ 1,y),x). [hyper(189,a,3810,a(flip),b,4027,a(flip)),flip(a)]. given #3799 (H,wt=16): 4031 L(x,T(y \ 1,z),y) = y * ((y \ 1) * x). [para(3988(a,1),4030(a,1,2)),flip(a)]. given #3800 (H,wt=15): 4032 L(x,T(y \ 1,z),y) = L(x,y \ 1,y). [hyper(189,a,166,a(flip),b,4031,a)]. given #3801 (H,wt=24): 4034 L(T(1 / x,y) \ z,x \ 1,x) = (x * T(1 / x,y)) \ (x * z). [hyper(189,a,3210,a(flip),b,4032,a(flip))]. given #3802 (H,wt=27): 3756 (x * T(x \ (T(x,x \ y) * y),z)) / y = (x / y) * T(x * (y / x),z). [para(3754(a,1),1458(a,2,2,1))]. given #3803 (H,wt=27): 4037 (x * T(T(x,x \ y) * (x \ y),z)) / y = (x / y) * T(x * (y / x),z). [para(975(a,1),3756(a,1,1,2,1))]. given #3804 (H,wt=23): 4038 (x * T(x * (y / x),z)) / y = (x / y) * T(x * (y / x),z). [para(3336(a,1),4037(a,1,1,2,1))]. given #3805 (H,wt=28): 3674 R(x \ y,(x \ y) \ (y / (y / x)),x \ y) = ((x \ y) \ (y / (y / x))) \ x. [para(3573(a,1),3670(a,2,2))]. given #3806 (H,wt=28): 4023 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(3704(a,2),333(a,1))]. given #3807 (H,wt=29): 3688 ((x \ 1) * (x \ T(x * y,x \ 1))) / (x \ 1) = ((x \ 1) \ y) * T(x \ 1,y). [para(768(a,2),3518(a,1,1,2))]. given #3808 (H,wt=19): 4039 ((x \ 1) \ y) * T(x \ 1,y) = (y / x) / (x \ 1). [para(784(a,1),3688(a,1,1)),flip(a)]. given #3809 (H,wt=29): 3846 (x * (K(y,x) * z)) \ (K(y,x) * (x * (z * u))) = L(L(u,z,x),x * z,K(y,x)). [para(3841(a,1),348(a,1,1))]. given #3810 (H,wt=29): 3912 L(L(x,y,K(z,u)),K(z,u) * y,K(u,z)) = y \ (K(u,z) * (K(z,u) * (y * x))). [para(3887(a,1),348(a,1,1)),flip(a)]. given #3811 (H,wt=21): 4041 L(L(x,y,K(z,u)),K(z,u) * y,K(u,z)) = y \ (y * x). [para(3887(a,1),3912(a,2,2))]. given #3812 (H,wt=20): 4042 L(L(x,y,K(z,u)),K(z,u) * y,K(u,z)) != w | w = x. [para(4041(a,2),237(a,1))]. given #3813 (H,wt=29): 3935 (x * y) \ ((x * (y * K(z,u))) * K(u,z)) != w | a(x,y * K(z,u),K(u,z)) = w. [para(3919(a,1),553(a,1,1,2))]. given #3814 (H,wt=29): 4040 (x * (K(y,x) * z)) \ (x * (K(y,x) * (z * u))) = L(L(u,z,x),x * z,K(y,x)). [para(3841(a,1),3846(a,1,2))]. given #3815 (H,wt=20): 4044 L(L(x,y,z),z * y,K(u,z)) = L(x,y,z * K(u,z)). [hyper(189,a,4029,a(flip),b,4040,a(flip))]. given #3816 (H,wt=30): 3965 K(R(x \ (y / z),x,y / (y / z)),x) = K(((z \ y) * z) / (x * (y / (y / z))),x). [para(3744(a,1),3898(a,2,1,1))]. given #3817 (H,wt=31): 3847 R(x,y,z) * (K(u,R(x,y,z)) * (y * z)) != w | K(u,R(x,y,z)) * ((x * y) * z) = w. [para(133(a,1),3844(a,1,2,2))]. given #3818 (H,wt=31): 4036 T((x \ 1) * (x * ((y * z) / y)),y) = T(1 / x,y) * ((x * T(1 / x,y)) \ (x * z)). [para(4034(a,1),3047(a,2,2))]. given #3819 (H,wt=21): 4045 T((x \ 1) * (x * ((y * z) / y)),y) = (x \ 1) * (x * z). [hyper(189,a,4026,a(flip),b,4036,a)]. given #3820 (H,wt=22): 4046 L((x \ 1) * y,K(x,x \ 1),z) = (x \ 1) * (x * (x \ y)). [hyper(3442,a,4045,a)]. given #3821 (H,wt=18): 4048 L((x \ 1) * y,K(x,x \ 1),z) = (x \ 1) * y. [hyper(189,a,89,a(flip),b,4046,a)]. given #3822 (H,wt=21): 4050 (x * ((1 / y) * z)) / ((y \ 1) * z) = x * K(y,y \ 1). [para(4048(a,1),2430(a,1,2))]. given #3823 (H,wt=26): 4051 R(x,K(y \ 1,y),(1 / y) * z) = K(y \ 1,y) * (x * K(y,y \ 1)). [para(4050(a,1),3455(a,1,2)),flip(a)]. given #3824 (H,wt=14): 4053 R(x,K(y \ 1,y),(1 / y) * z) = x. [hyper(189,a,2481,a(flip),b,4051,a)]. given #3825 (H,wt=10): 4057 R(x,K(y \ 1,y),z) = x. [para(17(a,1),4053(a,1,3))]. given #3826 (H,wt=10): 4060 R(x,y,K(z \ 1,z)) = x. [hyper(189,a,3434,a(flip),b,4057,a(flip)),flip(a)]. given #3827 (H,wt=10): 4072 R(x,y,K(z,z \ 1)) = x. [para(1536(a,1),4060(a,1,3))]. given #3828 (H,wt=13): 4073 R(x,y,1 / z) = R(x,y,z \ 1). [hyper(3030,a,4072,a)]. given #3829 (H,wt=13): 4076 T(x,y * K(z,z \ 1)) = T(x,y). [hyper(189,a,3232,a(flip),b,4072,a(flip))]. given #3830 (H,wt=13): 4079 R(x,y,1 / (1 / z)) = R(x,y,z). [para(69(a,1),4073(a,2,3))]. given #3831 (H,wt=13): 4082 T(x,K(y \ 1,y) * z) = T(x,z). [para(2486(a,1),4076(a,1,2)),flip(a)]. given #3832 (H,wt=13): 4083 T(x,K(y,y \ 1) * z) = T(x,z). [para(2502(a,2),4076(a,1,2))]. given #3833 (H,wt=19): 4061 (x * K(y \ 1,y)) * z = x * (K(y \ 1,y) * z). [para(4057(a,1),110(a,1,1)),flip(a)]. given #3834 (H,wt=19): 4067 x / (y * K(z \ 1,z)) = K(z,z \ 1) * (x / y). [hyper(189,a,3242,a(flip),b,4060,a(flip)),flip(a)]. given #3835 (H,wt=19): 4068 (x * y) * K(z \ 1,z) = x * (y * K(z \ 1,z)). [para(4060(a,1),110(a,1,1)),flip(a)]. given #3836 (H,wt=14): 4093 L(K(x \ 1,x),y,z) = K(x \ 1,x). [hyper(346,a,4068,a)]. given #3837 (H,wt=10): 4098 a(x,y,K(z \ 1,z)) = 1. [hyper(37,a,4093,a)]. given #3838 (H,wt=10): 4099 a(x,y,K(z,z \ 1)) = 1. [para(1536(a,1),4098(a,1,3))]. given #3839 (H,wt=14): 4100 L(K(x,x \ 1),y,z) = K(x,x \ 1). [hyper(36,a,4099,a)]. given #3840 (H,wt=19): 4069 x \ (y * K(z \ 1,z)) = (x \ y) * K(z \ 1,z). [para(4060(a,1),370(a,1,1))]. given #3841 (H,wt=17): 4104 (x \ (1 / y)) * K(y \ 1,y) = x \ (y \ 1). [para(1198(a,1),4069(a,1,2)),flip(a)]. given #3842 (H,wt=17): 4107 K(x,x \ 1) * (y \ (x \ 1)) = y \ (1 / x). [hyper(2499,a,4104,a)]. given #3843 (H,wt=19): 4077 (x * y) * K(z,z \ 1) = x * (y * K(z,z \ 1)). [para(4072(a,1),110(a,1,1)),flip(a)]. given #3844 (H,wt=19): 4088 K(x \ 1,x) * (y * z) = y * (K(x \ 1,x) * z). [hyper(3245,a,4061,a)]. given #3845 (H,wt=17): 4111 K(x \ 1,x) * (y \ 1) = y \ K(x \ 1,x). [hyper(299,a,4088,a),flip(a)]. given #3846 (H,wt=19): 4091 K(x,x \ 1) * (y * (z * K(x \ 1,x))) = y * z. [hyper(2499,a,4068,a)]. given #3847 (H,wt=19): 4092 K(x \ 1,x) * (y * z) = y * (z * K(x \ 1,x)). [hyper(2477,a,4068,a)]. given #3848 (H,wt=19): 4106 x \ (K(y \ 1,y) * z) = (x \ z) * K(y \ 1,y). [para(2475(a,2),4069(a,1,2))]. given #3849 (H,wt=19): 4109 K(x,x \ 1) * (y * (K(x \ 1,x) * z)) = y * z. [hyper(3907,a,4088,a)]. given #3850 (H,wt=19): 4110 x \ (K(y \ 1,y) * z) = K(y \ 1,y) * (x \ z). [hyper(432,a,4088,a)]. given #3851 (H,wt=19): 4117 K(x,x \ 1) * (y * z) = y * (K(x,x \ 1) * z). [para(2479(a,1),4091(a,1,2,2))]. given #3852 (H,wt=19): 4120 (K(x,x \ 1) * y) \ z = (y \ z) * K(x \ 1,x). [hyper(189,a,3216,a,b,4106,a(flip)),flip(a)]. given #3853 (H,wt=19): 4121 (K(x,x \ 1) * y) \ z = K(x \ 1,x) * (y \ z). [hyper(189,a,3216,a,b,4110,a(flip)),flip(a)]. given #3854 (H,wt=19): 4122 x \ (K(y,y \ 1) * z) = K(y,y \ 1) * (x \ z). [hyper(432,a,4117,a)]. given #3855 (H,wt=19): 4128 x \ (K(y,y \ 1) * z) = (x \ z) * K(y,y \ 1). [hyper(189,a,2502,a(flip),b,4122,a)]. given #3856 (H,wt=19): 4129 x \ (y * K(z,z \ 1)) = K(z,z \ 1) * (x \ y). [para(2502(a,1),4122(a,1,2))]. given #3857 (H,wt=19): 4131 (K(x \ 1,x) * y) \ z = K(x,x \ 1) * (y \ z). [hyper(189,a,3218,a,b,4129,a(flip)),flip(a)]. given #3858 (H,wt=21): 4101 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = K(x,x \ 1). [hyper(189,a,2950,a,b,4100,a(flip)),flip(a)]. given #3859 (H,wt=21): 4105 (x \ (y * ((z \ 1) \ 1))) * K(z \ 1,z) = x \ (y * z). [para(2319(a,1),4069(a,1,2)),flip(a)]. given #3860 (H,wt=21): 4116 K(x,x \ 1) * (y * (z / ((x \ 1) \ 1))) = y * (z / x). [para(2313(a,1),4091(a,1,2,2))]. given #3861 (H,wt=21): 4118 K(x,x \ 1) * (y * ((1 / x) \ z)) = y * ((x \ 1) \ z). [para(2490(a,1),4091(a,1,2,2))]. given #3862 (H,wt=19): 4135 T(x,y * ((1 / z) \ u)) = T(x,y * ((z \ 1) \ u)). [para(4118(a,1),4083(a,1,2)),flip(a)]. given #3863 (H,wt=21): 4119 K(x \ 1,x) * (y * T(x,z)) = y * T(1 / (1 / x),z). [para(2776(a,1),4092(a,2,2))]. given #3864 (H,wt=21): 4126 ((1 / x) \ y) * K(z \ 1,z) = (K(z,z \ 1) / x) \ y. [para(3194(a,1),4120(a,1,1)),flip(a)]. given #3865 (H,wt=21): 4127 K(x \ 1,x) * ((x * y) \ z) = (((x \ 1) \ 1) * y) \ z. [para(2365(a,1),4121(a,1,1)),flip(a)]. given #3866 (H,wt=21): 4133 K(x,x \ 1) * (((x \ 1) \ y) \ z) = ((1 / x) \ y) \ z. [para(2376(a,1),4131(a,1,1)),flip(a)]. given #3867 (H,wt=22): 4130 x \ (K(y,y \ 1) * z) != u | (x \ z) * K(y,y \ 1) = u. [para(4122(a,2),2520(a,1))]. given #3868 (H,wt=23): 4095 (x * (y * K(z \ 1,z))) \ u = (x * y) \ (K(z,z \ 1) * u). [para(4068(a,1),3234(a,1,1))]. given #3869 (H,wt=23): 4096 x / (y * (z * K(u \ 1,u))) = K(u,u \ 1) * (x / (y * z)). [para(4068(a,1),4067(a,1,2))]. given #3870 (H,wt=23): 4108 (x \ (1 / R(y,z,u))) * K(y \ 1,y) = x \ (R(y,z,u) \ 1). [para(3174(a,1),4104(a,1,2))]. given #3871 (H,wt=21): 4141 (1 / x) \ (1 / R(x,y,z)) = (x \ 1) \ (R(x,y,z) \ 1). [hyper(21,a,2490,a,b,4108,a)]. given #3872 (H,wt=19): 4142 (1 / x) \ (1 / R(x,y,z)) = (x \ R(x,y,z)) \ 1. [hyper(189,a,2963,a(flip),b,4141,a)]. given #3873 (H,wt=23): 4140 K(x \ 1,x) * (y / (z * (u * K(x \ 1,x)))) = y / (z * u). [hyper(3907,a,4096,a(flip))]. given #3874 (H,wt=19): 4143 x / (K(y,y \ 1) * z) = K(y \ 1,y) * (x / z). [para(2480(a,1),4140(a,1,2,2)),flip(a)]. given #3875 (H,wt=24): 4087 T(K(x,x \ 1) * y,T(z,y)) != u | T(K(x,x \ 1) * y,z) = u. [para(4083(a,1),3594(a,1,2))]. given #3876 (H,wt=23): 4144 T(x,y) \ (K(z,z \ 1) * (x * y)) = T(K(z,z \ 1) * y,x). [hyper(4087,a,3260,a(flip)),flip(a)]. given #3877 (H,wt=23): 4145 (T(x,y) \ (x * y)) * K(z,z \ 1) = T(K(z,z \ 1) * y,x). [hyper(4130,a,4144,a)]. given #3878 (H,wt=19): 4146 T(K(x,x \ 1) * y,z) = T(y,z) * K(x,x \ 1). [para(3528(a,1),4145(a,1,1)),flip(a)]. given #3879 (H,wt=19): 4147 T(K(x,x \ 1) * y,z) = K(x,x \ 1) * T(y,z). [hyper(189,a,2502,a,b,4146,a)]. given #3880 (H,wt=19): 4149 K(x,x \ 1) * T(K(x,x \ 1) \ y,z) = T(y,z). [para(17(a,1),4147(a,1,1)),flip(a)]. given #3881 (H,wt=15): 4151 T((x \ y) * x,z) / x = x \ T(y,z). [hyper(75,a,4149,a(flip),b,2029,a(flip)),flip(a)]. given #3882 (H,wt=15): 4152 T(x * y,z) / y = y \ T(y * x,z). [para(16(a,1),4151(a,1,1,1,1))]. given #3883 (H,wt=15): 4153 T((x \ y) * x,z) = (x \ T(y,z)) * x. [para(4151(a,1),19(a,1,1)),flip(a)]. given #3884 (H,wt=15): 4154 x \ T(x * (y / x),z) = T(y,z) / x. [para(70(a,1),4151(a,1,1,1)),flip(a)]. given #3885 (H,wt=15): 4159 x * (T(y * x,z) / x) = T(x * y,z). [para(4152(a,2),17(a,1,2))]. given #3886 (H,wt=15): 4160 (x \ T(x * y,z)) * x = T(y * x,z). [para(4152(a,1),19(a,1,1))]. given #3887 (H,wt=15): 4168 T(x * (y / x),z) = x * (T(y,z) / x). [para(4154(a,1),17(a,1,2)),flip(a)]. given #3888 (H,wt=17): 4161 T(x \ T(x * y,z),x) = x \ T(y * x,z). [para(4152(a,1),115(a,1,1))]. given #3889 (H,wt=17): 4166 T((x \ (y / z)) * x,z) = (x \ (z \ y)) * x. [para(115(a,1),4153(a,2,1,2))]. given #3890 (H,wt=17): 4170 x \ T(T(x,y) * y,z) = T(x * y,z) / x. [para(3322(a,2),4154(a,1,2,1))]. given #3891 (H,wt=17): 4179 T(x * ((y / z) / x),z) = x * ((z \ y) / x). [para(115(a,1),4168(a,2,2,1))]. given #3892 (H,wt=18): 4155 (x \ T(y,z)) * x != u | T((x \ y) * x,z) = u. [para(4151(a,1),200(a,1,1)),flip(b)]. given #3893 (H,wt=18): 4156 x * (T((x \ y) * x,z) / x) != u | T(y,z) = u. [para(4151(a,2),203(a,1,2)),flip(b)]. given #3894 (H,wt=19): 4158 (x \ 1) * T((x \ 1) \ y,z) = T(y * x,z) / x. [hyper(189,a,729,a,b,4152,a),flip(a)]. given #3895 (H,wt=19): 4171 T(x,y) \ T(x * (y / x),z) = T(y,z) / T(x,y). [para(3733(a,1),4154(a,1,2,1))]. given #3896 (H,wt=19): 4172 (x \ y) * (T(y,z) / (x \ y)) = T((x \ y) * x,z). [para(17(a,1),4159(a,1,2,1,1))]. given #3897 (H,wt=19): 4177 T((x * (y \ 1)) * y,z) = (T(x,z) * (y \ 1)) * y. [para(767(a,1),4160(a,1,1)),flip(a)]. given #3898 (H,wt=19): 4178 T(x,y) \ T(z * (x / z),y) = K(z,z \ T(x,y)). [hyper(75,a,4168,a,b,3903,a)]. given #3899 (H,wt=19): 4182 T(x * (y / x),z) \ T(y,z) = K(x \ T(y,z),x). [para(4168(a,2),3926(a,1,1))]. given #3900 (H,wt=19): 4183 ((x \ (y / z)) * x) * z = z * ((x \ (z \ y)) * x). [para(4166(a,1),113(a,1,2)),flip(a)]. given #3901 (H,wt=19): 4184 (x * ((y \ (x \ z)) * y)) / x = (y \ (z / x)) * y. [para(4166(a,1),143(a,1,1,2))]. given #3902 (H,wt=19): 4185 (x * ((y / z) / x)) * z = z * (x * ((z \ y) / x)). [para(4179(a,1),113(a,1,2)),flip(a)]. given #3903 (H,wt=19): 4194 (x * ((y \ z) * y)) / x = (y \ ((x * z) / x)) * y. [para(16(a,1),4184(a,1,1,2,1,2))]. given #3904 (H,wt=17): 4196 (x \ ((x * y) / x)) * x = (x \ y) * T(x,y). [hyper(3621,a,4194,a),flip(a)]. given #3905 (H,wt=21): 4192 x * (y * T(y \ (x \ z),y)) = ((y \ (z / x)) * y) * x. [para(113(a,2),4183(a,2,2)),flip(a)]. given #3906 (H,wt=21): 4199 (x * y) * T((x * y) \ z,y) = ((y \ (z / x)) * y) * x. [hyper(189,a,713,a,b,4192,a(flip)),flip(a)]. given #3907 (H,wt=22): 4157 (x \ T(y,z)) * x != u * w | u \ T((x \ y) * x,z) = w. [para(4151(a,1),300(a,1,1))]. given #3908 (H,wt=22): 4169 x * (T(y,z) / x) != u * w | u \ T(x * (y / x),z) = w. [para(4154(a,1),301(a,1,2))]. given #3909 (H,wt=22): 4186 (x \ K(y,z)) * x != u | T((x \ K(y,z)) * x,T(z,w)) = u. [para(2781(a,1),4155(a,1,1,2))]. given #3910 (H,wt=22): 4189 (x \ y) \ T((x \ y) * x,z) != u | T(y,z) / (x \ y) = u. [para(4172(a,1),237(a,1,2)),flip(b)]. given #3911 (H,wt=23): 4191 (x \ y) * ((z \ ((x \ y) \ y)) * z) = ((z \ x) * z) * (x \ y). [para(67(a,1),4183(a,1,1,1,2)),flip(a)]. given #3912 (H,wt=23): 4197 x \ (((x \ 1) * y) / (x \ 1)) = (x \ 1) * ((x \ y) / (x \ 1)). [hyper(3406,a,4194,a),flip(a)]. given #3913 (H,wt=21): 4200 x \ (((x \ 1) * y) / (x \ 1)) = ((x \ 1) * (x \ y)) * x. [hyper(189,a,476,a(flip),b,4197,a)]. given #3914 (H,wt=21): 4201 x * (((x \ 1) * (x \ y)) * x) = ((x \ 1) * y) / (x \ 1). [para(4200(a,1),17(a,1,2))]. given #3915 (H,wt=24): 4175 T(x * y,z) \ T(y * x,z) != u | K(x \ T(x * y,z),x) = u. [para(4160(a,1),336(a,1,2))]. given #3916 (H,wt=24): 4202 ((x \ 1) * y) / (x \ 1) != x * z | ((x \ 1) * (x \ y)) * x = z. [para(4201(a,1),22(a,1))]. given #3917 (H,wt=25): 4137 K(x \ 1,x) * (y * ((x \ z) \ z)) = y * T(1 / (1 / x),x \ z). [para(114(a,1),4119(a,1,2,2))]. given #3918 (H,wt=25): 4138 K(x \ 1,x) * (y * ((1 / z) \ u)) = y * ((K(x,x \ 1) / z) \ u). [para(4126(a,1),4092(a,2,2))]. given #3919 (H,wt=25): 4181 (x * T(x * (y / x),z)) / y = (T(x,x \ T(y,z)) / y) * T(y,z). [para(4168(a,2),3343(a,1,1,2))]. given #3920 (H,wt=25): 4198 ((x \ 1) \ (((x \ 1) * y) / (x \ 1))) * (x \ 1) = (y / x) / (x \ 1). [hyper(189,a,4039,a(flip),b,4196,a)]. given #3921 (H,wt=23): 4204 x * ((((x \ 1) * y) / (x \ 1)) * (1 / x)) = (y / x) / (x \ 1). [hyper(189,a,1892,a(flip),b,4198,a(flip)),flip(a)]. given #3922 (H,wt=21): 4205 x * (((x \ 1) * y) * K(x,x \ 1)) = (y / x) / (x \ 1). [para(2267(a,1),4204(a,1,2))]. given #3923 (H,wt=15): 4206 (x / y) / (y \ 1) = y * ((1 / y) * x). [para(2507(a,1),4205(a,1,2)),flip(a)]. given #3924 (H,wt=15): 4207 x * ((1 / x) * (y * x)) = y / (x \ 1). [para(18(a,1),4206(a,1,1)),flip(a)]. given #3925 (H,wt=14): 4208 L(x,y,y \ 1) * y = x / (y \ 1). [hyper(2395,a,4207,a)]. given #3926 (H,wt=14): 4210 x * ((x \ 1) * y) = L(y,x,x \ 1). [hyper(21,a,651,a,b,4208,a),flip(a)]. given #3927 (H,wt=15): 4209 x \ (y / (x \ 1)) = (1 / x) * (y * x). [hyper(80,a,4207,a)]. given #3928 (H,wt=16): 4211 L(x * y,y,y \ 1) = y * ((y \ x) * y). [para(486(a,1),4210(a,1,2)),flip(a)]. given #3929 (H,wt=14): 4214 L(x * y,y,y \ 1) = x / (1 / y). [hyper(189,a,468,a(flip),b,4211,a)]. given #3930 (H,wt=14): 4215 (x / y) / (1 / y) = L(x,y,y \ 1). [para(19(a,1),4214(a,1,1)),flip(a)]. given #3931 (H,wt=14): 4216 L(x,y,y \ 1) * (1 / y) = x / y. [para(4215(a,1),19(a,1,1))]. given #3932 (H,wt=16): 4212 L(x,y,y \ 1) != z | L(x,y \ 1,y) = z. [para(4210(a,1),357(a,1))]. given #3933 (H,wt=17): 4217 (x / y) / (1 / y) != z | L(x,y,y \ 1) = z. [para(4216(a,1),248(a,1,1)),flip(b)]. given #3934 (H,wt=17): 4218 (1 / x) * (x * y) != z | L(y,x \ 1,x) = z. [para(2374(a,2),4212(a,1))]. given #3935 (H,wt=19): 4213 ((1 / x) * (y * x)) * x = ((x \ 1) * y) * (x * x). [para(4209(a,1),946(a,1,1))]. given #3936 (H,wt=17): 4219 ((x \ 1) * y) / (x \ 1) = (1 / x) * (y * x). [hyper(21,a,688,a,b,4213,a),flip(a)]. given #3937 (H,wt=18): 4220 L(T(x,y),y,y \ 1) = ((y \ 1) * x) / (y \ 1). [hyper(189,a,2384,a,b,4219,a),flip(a)]. given #3938 (H,wt=19): 4221 ((x \ 1) * y) / (x \ 1) = x * ((x \ 1) * T(y,x)). [hyper(189,a,4210,a,b,4220,a(flip))]. given #3939 (H,wt=17): 4222 ((x \ 1) * (x \ y)) * x = (x \ 1) * T(y,x). [hyper(4202,a,4221,a)]. given #3940 (H,wt=11): 4223 T(x,y) = (y \ x) / (y \ 1). [hyper(652,a,4222,a(flip)),flip(a)]. given #3941 (H,wt=11): 4224 T(x,y) = ((1 / y) * x) * y. [hyper(189,a,847,a(flip),b,4223,a)]. given #3942 (H,wt=11): 4225 T(x,y) / y = (1 / y) * x. [hyper(76,a,4223,a,b,847,a(flip))]. given #3943 (H,wt=11): 4227 T(x * y,x) = y / (x \ 1). [para(16(a,1),4223(a,2,1))]. given #3944 (H,wt=11): 4228 T(x,y) * (y \ 1) = y \ x. [para(4223(a,2),19(a,1,1))]. given #3945 (H,wt=11): 4229 x / T(y,x) = (1 / y) * x. [hyper(3550,a,4224,a)]. given #3946 (H,wt=11): 4230 T((1 / x) \ y,x) = y * x. [hyper(189,a,91,a(flip),b,4224,a)]. given #3947 (H,wt=11): 4232 T(x,y) = ((1 / x) * y) \ y. [para(4225(a,1),3553(a,1,1)),flip(a)]. given #3948 (H,wt=11): 4240 x / T(y \ 1,x) = y * x. [hyper(189,a,126,a(flip),b,4229,a)]. given #3949 (H,wt=11): 4244 T(x \ 1,y) = (x * y) \ y. [para(67(a,1),4232(a,2,1,1))]. given #3950 (H,wt=9): 4245 T(x \ 1,x) = 1 / x. [hyper(189,a,1888,a(flip),b,4244,a)]. given #3951 (H,wt=11): 4247 T((x / y) \ 1,y) = x \ y. [para(19(a,1),4244(a,2,1))]. given #3952 (H,wt=11): 4249 ((x \ 1) \ 1) \ 1 = 1 / x. [hyper(3540,a,4245,a)]. given #3953 (H,wt=11): 4250 1 / (1 / x) = (x \ 1) \ 1. [para(4245(a,1),633(a,1,2))]. given #3954 (H,wt=13): 4231 (x * y) * (x \ 1) = T(y,x \ 1). [para(67(a,1),4224(a,2,1,1)),flip(a)]. given #3955 (H,wt=13): 4233 x * (y / (x \ 1)) = (x * y) * x. [para(4227(a,1),113(a,1,2))]. given #3956 (H,wt=13): 4235 K(x \ (y / (x \ 1)),x) = K(y,x). [para(4227(a,1),3677(a,1,1,2))]. given #3957 (H,wt=13): 4236 K(x / (y \ 1),y) = K(y * x,y). [para(4227(a,1),3876(a,1,1))]. given #3958 (H,wt=13): 4238 x \ ((x * y) / x) = y * (x \ 1). [para(142(a,1),4228(a,1,1)),flip(a)]. given #3959 (H,wt=13): 4242 T(x \ y,x \ 1) = y * (x \ 1). [para(67(a,1),4230(a,1,1,1))]. given #3960 (H,wt=13): 4243 ((1 / x) \ y) * x = x * (y * x). [para(4230(a,1),113(a,1,2)),flip(a)]. given #3961 (H,wt=12): 4261 L(x,y,x) * y = (1 / x) \ y. [hyper(21,a,3599,a,b,4243,a),flip(a)]. given #3962 (H,wt=13): 4246 T(x \ 1,x \ y) = y \ (x \ y). [hyper(189,a,245,a(flip),b,4244,a)]. given #3963 (H,wt=13): 4251 ((x / y) \ 1) * y = y * (x \ y). [para(4247(a,1),113(a,1,2)),flip(a)]. given #3964 (H,wt=13): 4252 K((x / y) \ 1,y) = K(x \ y,y). [para(4247(a,1),3876(a,1,1)),flip(a)]. given #3965 (H,wt=13): 4257 K(x * (y \ 1),y) = K(y \ x,y). [para(18(a,1),4235(a,1,1,2)),flip(a)]. given #3966 (H,wt=13): 4258 ((x * y) / x) \ x = x * (y \ 1). [hyper(189,a,3697,a,b,4238,a(flip)),flip(a)]. given #3967 (H,wt=11): 4265 x * (T(y,x) \ 1) = y \ x. [para(143(a,1),4258(a,1,1)),flip(a)]. given #3968 (H,wt=11): 4267 T(x,y) \ 1 = y \ (x \ y). [hyper(80,a,4265,a),flip(a)]. given #3969 (H,wt=11): 4269 T(x,y) = 1 / (y \ (x \ y)). [para(4267(a,1),67(a,1,2)),flip(a)]. given #3970 (H,wt=11): 4272 T(x / y,x) = 1 / (x \ y). [para(69(a,1),4269(a,2,2,2))]. given #3971 (H,wt=13): 4259 x * (y * (x \ 1)) = (x * y) / x. [para(4238(a,1),17(a,1,2))]. given #3972 (H,wt=13): 4264 K(x * (1 / y),y) = K(y \ x,y). [hyper(189,a,3123,a,b,4257,a(flip)),flip(a)]. given #3973 (H,wt=13): 4266 T(K(x,y),z) \ 1 = T(K(y,x),z). [hyper(147,a,3889,a(flip),b,4265,a),flip(a)]. given #3974 (H,wt=13): 4270 x / (T(y,x) \ 1) = (1 / y) \ x. [para(4267(a,2),3641(a,1,2))]. given #3975 (H,wt=13): 4277 x / (T(y \ 1,x) \ 1) = y \ x. [para(67(a,1),4270(a,2,1))]. given #3976 (H,wt=13): 4278 x / ((y \ x) \ 1) = (y / x) \ x. [para(4247(a,1),4277(a,1,2,1))]. given #3977 (H,wt=13): 4279 ((x / y) \ y) \ y = (x \ y) \ 1. [para(4278(a,1),69(a,1,1))]. given #3978 (H,wt=14): 4241 (1 / x) * y != z | T(y,x) / x = z. [para(4229(a,1),3580(a,1))]. given #3979 (H,wt=14): 4254 K(1 / x,y) != z | K(x \ 1,y) = z. [para(4249(a,1),2659(a,1,1))]. given #3980 (H,wt=14): 4255 ((x \ 1) \ 1) \ 1 != y | 1 / x = y. [para(4250(a,1),236(a,1,1)),flip(b)]. given #3981 (H,wt=14): 4282 K(x,y) != z | K((x \ 1) \ 1,y) = z. [para(67(a,1),4254(a,1,1))]. given #3982 (H,wt=15): 4253 T((x \ 1) \ 1,y) \ 1 = 1 / T(x,y). [para(2095(a,1),4249(a,1,1))]. given #3983 (H,wt=13): 4285 x / (1 / T(y,x)) = (y \ 1) \ x. [para(4253(a,1),4277(a,1,2))]. given #3984 (H,wt=13): 4286 ((x \ 1) \ y) \ y = 1 / T(x,y). [para(4285(a,1),69(a,1,1))]. given #3985 (H,wt=13): 4287 1 / T(x,x \ y) = T(x \ 1,y). [hyper(189,a,3691,a(flip),b,4286,a(flip))]. given #3986 (H,wt=15): 4263 ((x \ 1) \ y) / y = ((x \ y) / y) \ 1. [hyper(76,a,3631,a(flip),b,4251,a)]. given #3987 (H,wt=15): 4271 ((x * y) \ y) \ 1 = y \ ((x \ 1) \ y). [para(4244(a,1),4267(a,1,1))]. given #3988 (H,wt=15): 4273 ((x \ y) * x) * (y \ 1) = K(x \ y,x). [hyper(20,a,3777,a(flip),b,4259,a)]. given #3989 (H,wt=13): 4289 ((x \ y) * x) / y = K(x \ y,x). [hyper(189,a,3465,a(flip),b,4273,a(flip)),flip(a)]. given #3990 (H,wt=13): 4291 K(x \ y,x) * y = (x \ y) * x. [para(4289(a,1),19(a,1,1))]. given #3991 (H,wt=13): 4293 K(x,x \ y) * ((x \ y) * x) = y. [hyper(3907,a,4291,a)]. given #3992 (H,wt=13): 4294 x / ((y \ x) * y) = K(y,y \ x). [para(4291(a,1),3905(a,1,2))]. given #3993 (H,wt=13): 4295 (x \ y) * K(x,x \ y) = y / x. [hyper(76,a,4293,a(flip),b,3832,a),flip(a)]. given #3994 (H,wt=13): 4296 K(x,x \ y) * (x \ y) = y / x. [hyper(76,a,4293,a(flip),b,3820,a),flip(a)]. given #3995 (H,wt=13): 4298 (x * (y / x)) / y = K(x,x \ y). [hyper(189,a,3805,a,b,4294,a(flip)),flip(a)]. given #3996 (H,wt=13): 4305 (x \ y) * K(x,y / x) = y / x. [para(3873(a,2),4295(a,1,2))]. given #3997 (H,wt=13): 4310 (x * K(x \ y,x)) \ y = y / x. [hyper(189,a,3968,a,b,4296,a(flip)),flip(a)]. given #3998 (H,wt=13): 4312 K(x,y / x) * (x \ y) = y / x. [para(3873(a,2),4296(a,1,1))]. given #3999 (H,wt=13): 4314 K(x,x \ y) * y = x * (y / x). [para(4298(a,1),19(a,1,1))]. given #4000 (H,wt=9): 4320 T(x,K(y,y \ x)) = x. [hyper(3947,a,4314,a)]. given #4001 (H,wt=13): 4318 x / (x / y) = y * K(y \ x,y). [para(4310(a,1),67(a,1,2))]. given #4002 (H,wt=13): 4321 K(x \ y,x) * (x * (y / x)) = y. [hyper(3907,a,4314,a)]. given #4003 (H,wt=13): 4324 K(x,y / x) * y = x * (y / x). [para(3873(a,2),4314(a,1,1))]. given #4004 (H,wt=13): 4325 x / (x / y) = K(y \ x,y) * y. [hyper(189,a,2754,a,b,4318,a)]. given #4005 (H,wt=13): 4345 K(x,x \ y) * (y / (y / x)) = x. [hyper(3907,a,4325,a(flip))]. given #4006 (H,wt=15): 4301 K(x,x \ y) / (y / x) = 1 / (x \ y). [para(4295(a,1),2937(a,1,2))]. given #4007 (H,wt=15): 4326 ((x \ y) * x) \ (y / (y / x)) = y \ x. [hyper(75,a,4318,a,b,1209,a)]. given #4008 (H,wt=15): 4329 (x * y) / ((x * y) / x) = x * K(y,x). [para(16(a,1),4318(a,2,2,1))]. given #4009 (H,wt=9): 4350 K(x,y) = T(y,x) \ y. [hyper(3389,a,4329,a),flip(a)]. given #4010 (H,wt=9): 4356 K(x,y) = y / T(y,x). [hyper(189,a,2742,a,b,4350,a)]. given #4011 (H,wt=9): 4360 K(x,y) = x \ T(x,y). [hyper(189,a,3542,a(flip),b,4350,a)]. given #4012 (H,wt=9): 4365 T(x,y) * K(y,x) = x. [para(4350(a,2),17(a,1,2))]. given #4013 (H,wt=9): 4367 T(x,y) = x / K(y,x). [para(4350(a,2),67(a,1,2)),flip(a)]. given #4014 (H,wt=9): 4370 K(x,y) * T(y,x) = y. [para(4350(a,2),2745(a,1,1))]. given #4015 (H,wt=9): 4371 T(x,y) = K(y,x) \ x. [para(4350(a,2),2746(a,1,1)),flip(a)]. given #4016 (H,wt=9): 4374 T(x * K(y,x),y) = x. [para(4350(a,2),3543(a,1,1,2))]. given #4017 (H,wt=9): 4396 T(x,y) = x * K(x,y). [para(4360(a,2),17(a,1,2)),flip(a)]. given #4018 (H,wt=9): 4403 T(x,y) = K(x,y) * x. [para(4360(a,2),2799(a,1,1)),flip(a)]. given #4019 (H,wt=11): 4351 K(x,y) = T(y,T(x,y)) \ y. [hyper(3938,a,4350,a)]. given #4020 (H,wt=11): 4353 K(x,y) = (x * y) / (y * x). [hyper(189,a,3502,a,b,4350,a)]. given #4021 (H,wt=11): 4354 K(x,y) = ((y * x) / y) \ x. [hyper(189,a,3290,a,b,4350,a)]. given #4022 (H,wt=11): 4355 K(x,y) = (1 / T(y,x)) * y. [hyper(189,a,2743,a,b,4350,a)]. given #4023 (H,wt=11): 4358 K(x,y) = y * (T(y,x) \ 1). [hyper(189,a,987,a,b,4350,a)]. given #4024 (H,wt=11): 4362 K(x,y) / y = 1 / T(y,x). [hyper(76,a,4350,a,b,2743,a)]. given #4025 (H,wt=11): 4364 T(x,y) \ 1 = x \ K(y,x). [hyper(75,a,4350,a,b,987,a),flip(a)]. given #4026 (H,wt=11): 4372 K(x,y) * ((y * x) / y) = x. [para(4350(a,2),3291(a,1,1))]. given #4027 (H,wt=11): 4373 K(x,y) * (y * x) = x * y. [para(4350(a,2),3500(a,1,1))]. given #4028 (H,wt=11): 4375 (x * y) / x = y * K(x,y). [para(4350(a,2),3544(a,2,2))]. given #4029 (H,wt=11): 4389 K(x,y) = y \ ((x * y) / x). [hyper(189,a,3282,a,b,4360,a)]. given #4030 (H,wt=11): 4390 K(x,y) = (1 / x) * T(x,y). [hyper(189,a,2802,a,b,4360,a)]. given #4031 (H,wt=11): 4391 K(x,y) = T(x,y) * (x \ 1). [hyper(189,a,773,a,b,4360,a)]. given #4032 (H,wt=11): 4405 (x * K(y,x)) * y = y * x. [para(4360(a,2),3279(a,1,1,2))]. given #4033 (H,wt=11): 4417 T(x,y) = (K(y,x) / x) \ 1. [hyper(189,a,3079,a,b,4371,a)]. given #4034 (H,wt=11): 4429 K(x,y * K(x,y)) = K(x,y). [para(4374(a,1),3874(a,1,2)),flip(a)]. given #4035 (H,wt=11): 4430 K(x * K(y,x),y) = K(x,y). [para(4374(a,1),3876(a,1,1)),flip(a)]. given #4036 (H,wt=11): 4431 T(x * K(y,x),T(y,x)) = x. [para(3876(a,1),4374(a,1,1,2))]. given #4037 (H,wt=11): 4451 x * (K(y,x) * y) = y * x. [para(4403(a,1),113(a,1,2))]. given #4038 (H,wt=11): 4466 T(x,y) = 1 / (x \ K(y,x)). [para(4364(a,1),67(a,1,2)),flip(a)]. given #4039 (H,wt=11): 4468 (x * y) / x = K(x,y) * y. [hyper(3907,a,4372,a),flip(a)]. given #4040 (H,wt=11): 4469 K(x,y) = x / ((y * x) / y). [hyper(88,a,4372,a),flip(a)]. given #4041 (H,wt=12): 4386 K(x,y) \ y != z | T(y,x) = z. [para(4356(a,2),236(a,1,1)),flip(b)]. given #4042 (H,wt=12): 4399 x * K(x,y) != z | T(x,y) = z. [para(4360(a,2),203(a,1,2)),flip(b)]. given #4043 (H,wt=12): 4404 K(x,y) * x != z | T(x,y) = z. [para(4360(a,2),2803(a,1,1))]. given #4044 (H,wt=12): 4413 x \ T(x,y) != z | K(x,y) = z. [para(4365(a,1),3922(a,1,1))]. given #4045 (H,wt=12): 4414 T(x,y) != z | x * K(x,y) = z. [para(4367(a,2),3930(a,1))]. given #4046 (H,wt=12): 4415 x / T(x,y) != z | K(y,x) = z. [para(4370(a,1),248(a,1,1)),flip(b)]. given #4047 (H,wt=12): 4436 T(x,y) != x * z | K(x,y) = z. [para(4396(a,2),22(a,1))]. given #4048 (H,wt=12): 4482 T(x * K(y,x),y) != z | z = x. [para(4375(a,1),242(a,1,1))]. given #4049 (H,wt=13): 4352 K(x \ (x / y),x) = K(y \ 1,x). [hyper(189,a,3567,a,b,4350,a),flip(a)]. given #4050 (H,wt=13): 4359 x * T(x \ 1,y) = K(x \ 1,y). [hyper(189,a,3568,a(flip),b,4350,a),flip(a)]. given #4051 (H,wt=13): 4369 (x \ 1) * K(y,x) = T(x,y) \ 1. [para(4350(a,2),2738(a,1,2))]. given #4052 (H,wt=13): 4376 x * (K(x,y) * z) = T(x,y) * z. [para(4350(a,2),3546(a,1,2,1))]. given #4053 (H,wt=13): 4377 T(x,y) * (x \ z) = K(x,y) * z. [para(4350(a,2),3571(a,2,1))]. given #4054 (H,wt=13): 4382 x * (T(x,y) \ z) = K(y,x) * z. [para(4350(a,2),3979(a,1,1)),flip(a)]. given #4055 (H,wt=13): 4383 K(x,y) * (T(y,x) * z) = y * z. [para(4350(a,2),3980(a,1,1))]. given #4056 (H,wt=13): 4392 x * T(x \ 1,y) = K(1 / x,y). [hyper(189,a,765,a(flip),b,4360,a),flip(a)]. given #4057 (H,wt=13): 4395 K(x \ (x * y),z) = y \ T(y,z). [hyper(189,a,1215,a,b,4360,a(flip)),flip(a)]. given #4058 (H,wt=13): 4407 K(x,y) * (x * z) = T(x,y) * z. [para(4360(a,2),3477(a,1,1))]. given #4059 (H,wt=13): 4408 x \ T(x,x * y) = K(x,y * x). [para(3507(a,1),4360(a,2,2)),flip(a)]. given #4060 (H,wt=11): 4576 K(x,y * x) = K(x,x * y). [hyper(4413,a,4408,a),flip(a)]. given #4061 (H,wt=11): 4578 K(x,x * (y / x)) = K(x,y). [para(19(a,1),4576(a,1,2)),flip(a)]. given #4062 (H,wt=13): 4412 T(x,y) * (K(y,x) * z) = x * z. [para(4365(a,1),3837(a,1,1)),flip(a)]. given #4063 (H,wt=13): 4416 T(x,(y \ x) \ 1) = T(x,x \ y). [hyper(189,a,3651,a,b,4371,a),flip(a)]. given #4064 (H,wt=13): 4420 T(T(x * K(y,x),z),y) = T(x,z). [para(4374(a,1),41(a,1,1)),flip(a)]. given #4065 (H,wt=13): 4432 x * K(K(y,z),x) = T(x,K(z,y)). [para(4374(a,1),3959(a,1,1)),flip(a)]. given #4066 (H,wt=11): 4591 K(K(x,y),z) = K(z,K(y,x)). [hyper(20,a,4396,a(flip),b,4432,a)]. given #4067 (H,wt=13): 4433 x * K(x,y \ x) = T(x,x / y). [hyper(3341,a,4396,a),flip(a)]. given #4068 (H,wt=11): 4596 K(x,x / y) = K(x,y \ x). [hyper(20,a,4396,a(flip),b,4433,a),flip(a)]. given #4069 (H,wt=11): 4597 K(x,(y \ x) \ x) = K(x,y). [para(67(a,1),4596(a,1,2)),flip(a)]. given #4070 (H,wt=11): 4598 K(x,x / (x / y)) = K(x,y). [para(69(a,1),4596(a,2,2))]. given #4071 (H,wt=13): 4444 T(x,y) / (y \ x) = y * K(x,y). [hyper(76,a,4403,a,b,3840,a)]. given #4072 (H,wt=13): 4461 T(x \ 1,y) * x = K(x \ y,x). [para(4287(a,1),4355(a,2,1)),flip(a)]. given #4073 (H,wt=13): 4497 ((x * y) / x) \ 1 = y \ K(y,x). [para(4375(a,2),3900(a,1,1))]. given #4074 (H,wt=13): 4511 K(x,y) / x = 1 / ((y * x) / y). [hyper(76,a,4469,a,b,1594,a)]. given #4075 (H,wt=13): 4536 K(x,y) = (T(x,y) \ 1) \ (x \ 1). [para(4369(a,1),3918(a,1,1)),flip(a)]. given #4076 (H,wt=13): 4540 x \ (T(x,y) * z) = K(x,y) * z. [hyper(80,a,4376,a)]. given #4077 (H,wt=13): 4541 K(x,y) * (T(x,y) \ z) = x \ z. [hyper(75,a,17,a(flip),b,4376,a),flip(a)]. given #4078 (H,wt=13): 4547 (x \ y) / (T(x,z) \ y) = K(x,z). [hyper(1007,a,4377,a)]. given #4079 (H,wt=13): 4550 (K(x,y) * z) / (x \ z) = T(x,y). [hyper(88,a,4377,a)]. given #4080 (H,wt=13): 4551 x \ (K(y,x) * z) = T(x,y) \ z. [hyper(75,a,3887,a(flip),b,4377,a),flip(a)]. given #4081 (H,wt=13): 4553 (x * y) / (T(x,z) * y) = K(z,x). [hyper(76,a,3988,a(flip),b,4377,a(flip))]. given #4082 (H,wt=13): 4558 K(x,y) * (y \ z) = T(y,x) \ z. [hyper(1006,a,4382,a),flip(a)]. given #4083 (H,wt=13): 4570 x \ (T(x,y) * y) = y * K(x,y). [hyper(75,a,4407,a(flip),b,3715,a(flip))]. given #4084 (H,wt=13): 4593 K(x,K(y,z)) \ 1 = K(x,K(z,y)). [hyper(3952,a,4591,a)]. given #4085 (H,wt=13): 4599 K(x * y,T(y,x)) = K(x * y,y). [para(3555(a,2),4597(a,1,2))]. given #4086 (H,wt=11): 4617 K(x * y,y) = K(y * x,y). [hyper(3735,a,4599,a),flip(a)]. given #4087 (H,wt=11): 4619 K(x * (y / x),x) = K(y,x). [para(19(a,1),4617(a,1,1)),flip(a)]. given #4088 (H,wt=13): 4602 T(x \ 1,x * y) = K(y,x) / x. [hyper(76,a,1215,a(flip),b,4461,a),flip(a)]. given #4089 (H,wt=13): 4604 1 / (x * K(y,x)) = K(x,y) / x. [para(4375(a,1),4511(a,2,2)),flip(a)]. given #4090 (H,wt=13): 4605 (x \ K(y,x)) \ (x \ 1) = K(x,y). [para(4364(a,1),4536(a,2,1)),flip(a)]. given #4091 (H,wt=13): 4618 K(x / (y \ 1),y) = K(x * y,y). [hyper(189,a,4236,a,b,4617,a),flip(a)]. given #4092 (H,wt=13): 4620 T(x * K(x * y,x),y * x) = x. [para(4617(a,1),4374(a,1,1,2))]. given #4093 (H,wt=13): 4621 K(T(x,y) * y,x) = K(x * y,x). [para(3322(a,2),4619(a,1,1))]. given #4094 (H,wt=13): 4624 (K(x,y) / x) \ 1 = x * K(y,x). [para(4604(a,1),69(a,1,1))]. given #4095 (H,wt=14): 4384 x * K(y,x) != z | (y * x) / y = z. [para(4350(a,2),4000(a,1,2))]. given #4096 (H,wt=14): 4421 x * y != z * x | y * K(x,y) = z. [para(4374(a,1),149(a,1,2)),flip(b)]. given #4097 (H,wt=14): 4422 (x * y) / x != z | y * K(x,y) = z. [para(4374(a,1),250(a,1,1,2)),flip(b)]. given #4098 (H,wt=14): 4460 K(x,y) / y != z | 1 / T(y,x) = z. [para(4355(a,2),248(a,1,1)),flip(b)]. given #4099 (H,wt=14): 4464 (K(x,y) / y) \ 1 != z | T(y,x) = z. [para(4362(a,2),236(a,1,1)),flip(b)]. given #4100 (H,wt=14): 4467 1 / (x \ K(y,x)) != z | T(x,y) = z. [para(4364(a,1),246(a,1,2)),flip(b)]. given #4101 (H,wt=14): 4481 (x * y) / x != y * z | K(x,y) = z. [para(4375(a,2),22(a,1))]. given #4102 (H,wt=14): 4485 T(x * K(y,x),x * y) = L(x,y,x). [para(4375(a,1),563(a,1,1))]. given #4103 (H,wt=14): 4487 T(x * K(y * x,x),y) = R(x,y,x). [para(4375(a,1),603(a,2,1)),flip(a)]. given #4104 (H,wt=14): 4495 (x * y) / x != z | K(x,y) * y = z. [para(4375(a,2),2756(a,1))]. given #4105 (H,wt=14): 4543 K(x,y) * T(y,y * x) = L(y,x,y). [hyper(20,a,3720,a(flip),b,4376,a)]. given #4106 (H,wt=14): 4566 K(x \ (x * y),z) != u | K(y,z) = u. [para(4395(a,2),4413(a,1))]. given #4107 (H,wt=14): 4577 K(x,y * x) != z | K(x,x * y) = z. [para(4408(a,1),4413(a,1))]. given #4108 (H,wt=14): 4592 T(T(x,K(y,z)),K(z,y)) != u | u = x. [para(4432(a,1),4482(a,1,1))]. given #4109 (H,wt=14): 4616 K(x,K(y,z)) != u | K(K(z,y),x) = u. [para(4593(a,1),3872(a,1))]. given #4110 (H,wt=14): 4626 T(x * K(x * y,x),y) = R(x,y,x). [para(4617(a,1),4487(a,1,1,2))]. given #4111 (H,wt=14): 4627 T(x,x * y) * K(y,x) = L(x,y,x). [hyper(2760,a,4543,a)]. given #4112 (H,wt=14): 4628 K((x / y) \ x,z) != u | K(y,z) = u. [para(19(a,1),4566(a,1,1,2))]. given #4113 (H,wt=14): 4629 K(x,y) != z | K(u \ (u * x),y) = z. [para(60(a,1),4566(a,1,1))]. given #4114 (H,wt=15): 4340 (x / (x / y)) \ 1 = y \ K(y,y \ x). [para(4318(a,2),3900(a,1,1))]. given #4115 (H,wt=13): 4631 x \ K(x,x \ y) = y / (y * x). [hyper(3639,a,4340,a),flip(a)]. given #4116 (H,wt=15): 4357 K(x,y) = (T(y,x) \ 1) * T(y,y \ 1). [hyper(189,a,2540,a,b,4350,a)]. given #4117 (H,wt=15): 4363 (T(x,y) \ 1) \ K(y,x) = T(x,x \ 1). [hyper(75,a,4350,a,b,2540,a)]. given #4118 (H,wt=15): 4378 K(x / y,z) * x = y * T(y \ x,z). [para(4350(a,2),3623(a,1,1))]. given #4119 (H,wt=15): 4379 ((x * y) / x) \ x = y \ (x * K(y,x)). [para(4350(a,2),3683(a,1,2,2)),flip(a)]. given #4120 (H,wt=15): 4385 T(x,y) / T(T(x,z),y) = K(z,T(x,y)). [para(41(a,1),4356(a,2,2)),flip(a)]. given #4121 (H,wt=15): 4388 x * ((y * (x \ 1)) / y) = K(y,x \ 1). [hyper(189,a,3285,a,b,4360,a),flip(a)]. given #4122 (H,wt=15): 4393 x \ K(y,x \ 1) = (y * (x \ 1)) / y. [hyper(75,a,4360,a,b,3285,a)]. given #4123 (H,wt=15): 4423 T(x * K(y,x),z) * y = y * T(x,z). [para(4374(a,1),158(a,1,2,1)),flip(a)]. given #4124 (H,wt=15): 4424 T(x * K(y,x),z) = (y * T(x,z)) / y. [para(4374(a,1),178(a,1,1,2,1)),flip(a)]. given #4125 (H,wt=15): 4442 (1 / x) * K(x \ 1,y) = T(1 / x,y). [para(2647(a,1),4396(a,2,2)),flip(a)]. given #4126 (H,wt=15): 4445 T(K(x,y),z) * K(y,x) = K(K(x,y),z). [hyper(3929,a,4403,a(flip))]. given #4127 (H,wt=15): 4455 (T(x,y) * y) / T(x,y) = y * K(x,y). [para(4351(a,2),3544(a,2,2))]. given #4128 (H,wt=15): 4463 K(x,y) * T(K(y,x),z) = K(z,K(x,y)). [para(4266(a,1),4358(a,2,2)),flip(a)]. given #4129 (H,wt=15): 4465 ((x \ y) \ y) \ 1 = x \ K(x \ y,x). [hyper(189,a,523,a(flip),b,4364,a(flip)),flip(a)]. given #4130 (H,wt=15): 4473 (x * (y * x)) / (x * y) = x * K(y,x). [para(4373(a,1),3829(a,1,1,2))]. given #4131 (H,wt=15): 4479 x * ((y * z) / y) = x * (z * K(y,z)). [hyper(24,a,4375,a)]. given #4132 (H,wt=15): 4480 x \ T(x * y,y) = y * K(x * y,y). [hyper(189,a,3338,a(flip),b,4375,a(flip)),flip(a)]. given #4133 (H,wt=15): 4496 ((x * y) / x) * z = y * (K(x,y) * z). [para(4375(a,2),3828(a,1,1))]. given #4134 (H,wt=15): 4534 (T(1 / x,y) \ 1) / K(y,1 / x) = x. [hyper(76,a,4369,a(flip),b,131,a(flip))]. given #4135 (H,wt=15): 4539 K(x,K(y,z)) * K(z,y) = T(K(z,y),x). [hyper(147,a,3958,a(flip),b,4376,a),flip(a)]. given #4136 (H,wt=15): 4542 K(x,y) * (z * x) = T(x,y) * T(z,x). [hyper(20,a,981,a,b,4376,a)]. given #4137 (H,wt=15): 4552 x * (K(x,y) * (x \ z)) = K(x,y) * z. [hyper(189,a,4376,a,b,4377,a(flip)),flip(a)]. given #4138 (H,wt=15): 4557 K(x,y) * T(x,z) = T(x,y) * K(x,z). [para(4360(a,2),4377(a,1,2)),flip(a)]. given #4139 (H,wt=15): 4579 K(x,T(y * x,z)) = K(x,T(x * y,z)). [para(4159(a,1),4578(a,1,2)),flip(a)]. given #4140 (H,wt=15): 4581 K(x,y / z) * (z * T(z \ y,x)) = y. [hyper(1067,a,4412,a)]. given #4141 (H,wt=15): 4584 T(x,y) / (K(z,x) * K(x,y)) = T(x,z). [hyper(76,a,4396,a,b,4412,a)]. given #4142 (H,wt=15): 4595 K(x,y) * K(z,K(y,x)) = T(K(x,y),z). [para(4591(a,1),4396(a,2,2)),flip(a)]. given #4143 (H,wt=15): 4622 K(T(x * (y / x),z),x) = K(T(y,z),x). [para(4168(a,2),4619(a,1,1))]. given #4144 (H,wt=15): 4640 x / (y * T(y \ x,z)) = K(z,x / y). [para(4378(a,1),3905(a,1,2))]. given #4145 (H,wt=15): 4641 (x * K(y,x)) \ y = x \ (y * K(x,y)). [para(4375(a,1),4379(a,1,1))]. given #4146 (H,wt=15): 4643 ((x * (1 / y)) / x) * y = K(x,y \ 1). [hyper(683,a,4388,a)]. given #4147 (H,wt=15): 4647 K(x,y \ 1) / y = (x * (1 / y)) / x. [hyper(76,a,4388,a(flip),b,680,a)]. given #4148 (H,wt=15): 4664 (x / ((y * z) / y)) * (z * K(y,z)) = x. [hyper(200,a,4479,a)]. given #4149 (H,wt=15): 4666 (T(1 / x,y) \ 1) / K(y,x \ 1) = x. [para(3083(a,1),4534(a,1,2))]. given #4150 (H,wt=15): 4678 T(1 / x,y) \ 1 = x * K(y,x \ 1). [para(4666(a,1),19(a,1,1)),flip(a)]. given #4151 (H,wt=16): 4280 ((x / y) \ y) \ y != z | (x \ y) \ 1 = z. [para(4278(a,1),236(a,1,1)),flip(b)]. given #4152 (H,wt=16): 4288 x / (1 / T(y,x)) != z | (y \ 1) \ x = z. [para(4286(a,1),246(a,1,2)),flip(b)]. given #4153 (H,wt=16): 4292 K(x \ y,x) * y != z | (x \ y) * x = z. [para(4289(a,1),200(a,1,1)),flip(b)]. given #4154 (H,wt=16): 4336 T(x * K(x \ y,x),y) = L(x,x \ y,x). [para(4318(a,1),3643(a,1,1))]. given #4155 (H,wt=16): 4400 x * K(x,y) != z * u | T(x,y) / u = z. [para(4360(a,2),298(a,1,2))]. given #4156 (H,wt=16): 4410 T(x,y) \ x != z * u | z \ K(y,x) = u. [para(4365(a,1),253(a,1,2))]. given #4157 (H,wt=16): 4411 T(x,y) \ x != z * u | K(y,x) / u = z. [para(4365(a,1),425(a,1,2))]. given #4158 (H,wt=16): 4438 x \ T(x,y) != z * u | z \ K(x,y) = u. [para(4396(a,2),253(a,1,2))]. given #4159 (H,wt=16): 4475 T(x,y) * K(x * y,T(x,y)) = R(x,y,x). [hyper(3666,a,4375,a),flip(a)]. given #4160 (H,wt=16): 4478 (x * y) \ ((x * y) / x) = L(x \ 1,x,y). [hyper(75,a,4375,a,b,1214,a)]. given #4161 (H,wt=15): 4683 L(x \ 1,T(x,y),y) = L(x \ 1,x,y). [hyper(189,a,3287,a(flip),b,4478,a(flip)),flip(a)]. given #4162 (H,wt=16): 4486 T(T(x * K(y,x),z),y) != u | T(x,z) = u. [para(4375(a,1),548(a,1,1,1))]. given #4163 (H,wt=16): 4505 T(x,y) * K(y * x,T(x,y)) = R(x,y,x). [hyper(21,a,614,a,b,4405,a)]. given #4164 (H,wt=14): 4685 T(x,y) * K(x * y,x) = R(x,y,x). [para(3734(a,1),4505(a,1,2))]. given #4165 (H,wt=16): 4516 x * T(x \ 1,y) != z | K(x \ 1,y) = z. [para(2638(a,1),4413(a,1))]. given #4166 (H,wt=16): 4517 K(x \ (x / y),x) != z | K(y \ 1,x) = z. [para(2641(a,2),4413(a,1))]. given #4167 (H,wt=16): 4537 (T(x,y) \ 1) \ (x \ 1) != z | K(x,y) = z. [para(4369(a,1),3922(a,1,1))]. given #4168 (H,wt=16): 4555 (K(x,y) * z) / (x \ z) != u | T(x,y) = u. [para(4377(a,1),248(a,1,1)),flip(b)]. given #4169 (H,wt=16): 4561 K(x,y) * (y \ z) != u | T(y,x) \ z = u. [para(4382(a,1),1006(a,1))]. given #4170 (H,wt=16): 4564 K(x,y) * (x * z) != u | T(x,y) * z = u. [para(4383(a,1),3914(a,1,2)),flip(b)]. given #4171 (H,wt=16): 4571 T(x,y) * (x \ z) != u | K(x,y) * z = u. [para(4407(a,1),254(a,1))]. given #4172 (H,wt=16): 4586 T(x,y) * z != x * u | K(y,x) * u = z. [para(4412(a,1),22(a,1)),flip(a)]. given #4173 (H,wt=16): 4587 T(x,y) \ (x * z) != u | K(y,x) * z = u. [para(4412(a,1),237(a,1,2)),flip(b)]. given #4174 (H,wt=16): 4594 K(x,K(y,z)) \ 1 != u | K(x,K(z,y)) = u. [para(4591(a,1),3872(a,1,1))]. given #4175 (H,wt=14): 4693 K(K(x,y),z) != u | K(z,K(y,x)) = u. [para(3871(a,1),4594(a,1))]. given #4176 (H,wt=16): 4606 K(x,y) * z != u | T(x,y) * (x \ z) = u. [para(4540(a,1),983(a,1))]. given #4177 (H,wt=16): 4607 x \ y != K(x,z) * u | T(x,z) \ y = u. [para(4541(a,1),22(a,1))]. given #4178 (H,wt=16): 4679 K(x,y) * x != z * u | T(x,y) / u = z. [para(2650(a,2),4400(a,1))]. given #4179 (H,wt=16): 4686 K(x,y) * K(x * y,x) = x \ R(x,y,x). [hyper(75,a,4685,a(flip),b,4376,a),flip(a)]. given #4180 (H,wt=16): 4695 K(x * y,x) * K(x,y) = x \ R(x,y,x). [hyper(1962,a,4686,a)]. given #4181 (H,wt=16): 4696 K(x,y) * K(y * x,x) = x \ R(x,y,x). [para(4617(a,2),4686(a,1,2))]. given #4182 (H,wt=16): 4697 K(x * y,y) * K(y,x) = y \ R(y,x,y). [para(4617(a,2),4695(a,1,1))]. given #4183 (H,wt=17): 4234 T(T(x,y) * y,x) = ((x * y) / x) / (x \ 1). [para(3322(a,2),4227(a,1,1))]. given #4184 (H,wt=17): 4248 T(T(x,y) \ 1,y \ 1) = (y \ x) \ (y \ 1). [para(4228(a,1),4244(a,2,1))]. given #4185 (H,wt=17): 4256 ((1 / x) * y) * (1 / x) = (1 / x) * (y / x). [para(69(a,1),4233(a,1,2,2)),flip(a)]. given #4186 (H,wt=17): 4260 (x \ 1) * (y * (x \ 1)) = (x \ y) * (x \ 1). [para(4242(a,1),113(a,1,2))]. given #4187 (H,wt=17): 4262 K(x \ (y \ x),y \ x) = K(y \ 1,y \ x). [para(4246(a,1),3876(a,1,1))]. given #4188 (H,wt=17): 4268 T(T(x,y) \ 1,y \ 1) = (x \ y) * (y \ 1). [para(4265(a,1),4231(a,1,1)),flip(a)]. given #4189 (H,wt=15): 4700 (x \ y) \ (x \ 1) = (y \ x) * (x \ 1). [hyper(189,a,4248,a(flip),b,4268,a(flip)),flip(a)]. given #4190 (H,wt=17): 4275 K((x \ 1) \ y,x \ 1) = K(y * x,x \ 1). [para(67(a,1),4264(a,1,1,2)),flip(a)]. given #4191 (H,wt=15): 4701 K(x * y,y \ 1) = K(y * x,y \ 1). [hyper(189,a,3743,a(flip),b,4275,a(flip))]. given #4192 (H,wt=17): 4281 L(x,y,y \ 1) != z | T(y * x,y) / y = z. [para(2374(a,1),4241(a,1))]. given #4193 (H,wt=17): 4290 K(x \ (x * y),x) = (y * x) * ((x * y) \ 1). [para(16(a,1),4273(a,1,1,1)),flip(a)]. given #4194 (H,wt=13): 4703 K(x,y) = (x * y) * ((y * x) \ 1). [hyper(4566,a,4290,a)]. given #4195 (H,wt=13): 4704 (x * y) \ K(x,y) = (y * x) \ 1. [hyper(75,a,1215,a(flip),b,4290,a(flip))]. given #4196 (H,wt=17): 4302 (x \ y) * (K(x,x \ y) * z) = (y / x) * z. [para(4295(a,1),3828(a,1,1)),flip(a)]. given #4197 (H,wt=17): 4303 K(x,x \ y) * ((x \ y) * z) = (y / x) * z. [para(4295(a,1),3832(a,1,1)),flip(a)]. given #4198 (H,wt=17): 4304 (x / y) * ((y \ x) \ z) = K(y,y \ x) * z. [para(4295(a,1),3840(a,1,1))]. given #4199 (H,wt=15): 4717 (x \ y) \ (y / (y / x)) = (y / x) \ x. [hyper(75,a,4345,a(flip),b,4304,a),flip(a)]. given #4200 (H,wt=17): 4308 K(x \ y,x) * ((x \ y) \ z) = (y / x) \ z. [para(4295(a,1),3968(a,1,1)),flip(a)]. given #4201 (H,wt=17): 4331 (x \ y) * K((x \ y) \ y,x \ y) = y / x. [para(67(a,1),4318(a,1,2)),flip(a)]. given #4202 (H,wt=17): 4337 T(x,y) / (T(x,y) / y) = y * K(y \ x,y). [para(3678(a,1),4318(a,2,2))]. given #4203 (H,wt=17): 4344 K(x,y \ 1) * (y \ x) = x * ((y \ x) / x). [para(3738(a,1),4324(a,1,1))]. given #4204 (H,wt=17): 4381 x * ((y \ (x \ y)) * y) = y * K(x \ 1,y). [para(4350(a,2),3630(a,1,2)),flip(a)]. given #4205 (H,wt=17): 4425 L(x * K(y,x),z,u) * y = y * L(x,z,u). [para(4374(a,1),159(a,1,2,1)),flip(a)]. given #4206 (H,wt=17): 4426 R(x * K(y,x),z,u) * y = y * R(x,z,u). [para(4374(a,1),160(a,1,2,1)),flip(a)]. given #4207 (H,wt=17): 4443 T(x,T((y \ 1) \ 1,z)) = T(x,y * K(y,z)). [para(4396(a,1),2676(a,2,2))]. given #4208 (H,wt=13): 4734 T(x,y * K(y,z)) = T(x,T(y,z)). [hyper(189,a,2676,a(flip),b,4443,a(flip))]. given #4209 (H,wt=17): 4476 T((x * y) / x,z) = T(y,z) * K(x,T(y,z)). [hyper(332,a,4375,a)]. given #4210 (H,wt=17): 4477 (x \ 1) \ K(y,x) = (y * ((x \ 1) \ 1)) / y. [hyper(189,a,3086,a(flip),b,4375,a),flip(a)]. given #4211 (H,wt=17): 4488 L(x * K(y,x),z,u) = (y * L(x,z,u)) / y. [para(4375(a,1),662(a,1,1))]. given #4212 (H,wt=17): 4489 R(x * K(y,x),z,u) = (y * R(x,z,u)) / y. [para(4375(a,1),670(a,1,1))]. given #4213 (H,wt=17): 4499 (x \ (y * K(x,y))) * x = (x \ y) * T(x,y). [para(4375(a,1),4196(a,1,1,2))]. given #4214 (H,wt=17): 4522 T(x * T(x \ 1,y),z) = K(T(x,z) \ 1,y). [hyper(189,a,1374,a,b,4352,a(flip)),flip(a)]. given #4215 (H,wt=15): 4748 K(T(x,y) \ 1,z) = T(K(x \ 1,z),y). [para(4359(a,1),4522(a,1,1)),flip(a)]. given #4216 (H,wt=15): 4749 K(T(1 / x,y) \ 1,z) = T(K(x,z),y). [para(69(a,1),4748(a,2,1,1))]. given #4217 (H,wt=17): 4523 x \ (y * T(y \ x,z)) = K((x \ y) \ 1,z). [hyper(189,a,1075,a(flip),b,4352,a(flip)),flip(a)]. given #4218 (H,wt=17): 4524 x * T(x \ y,z) = y * K((y \ x) \ 1,z). [para(4352(a,1),1074(a,2,2))]. given #4219 (H,wt=17): 4526 K((x / y) \ 1,z) * y = x * T(x \ y,z). [para(4352(a,1),1584(a,1,1))]. given #4220 (H,wt=13): 4760 K((x / y) \ 1,z) = K(y / x,z). [hyper(21,a,4378,a,b,4526,a)]. given #4221 (H,wt=11): 4764 K(x / y,x) = K(y \ x,x). [hyper(189,a,4252,a(flip),b,4760,a(flip))]. given #4222 (H,wt=13): 4763 K((x / y) \ 1,x) = K(x \ y,x). [hyper(189,a,3896,a(flip),b,4760,a)]. given #4223 (H,wt=13): 4765 K(x / (y * x),z) = K(y \ 1,z). [para(18(a,1),4760(a,1,1,1)),flip(a)]. given #4224 (H,wt=13): 4767 K((x \ y) / y,z) = K(x \ 1,z). [para(67(a,1),4760(a,1,1,1)),flip(a)]. given #4225 (H,wt=13): 4769 K(x \ (y \ x),x) = K(y \ 1,x). [para(67(a,1),4763(a,1,1,1)),flip(a)]. given #4226 (H,wt=15): 4768 K(x,(y / z) \ 1) = K(z / y,x) \ 1. [para(4760(a,1),3871(a,1,1)),flip(a)]. given #4227 (H,wt=13): 4773 K(x,(y / z) \ 1) = K(x,z / y). [hyper(189,a,3871,a(flip),b,4768,a)]. given #4228 (H,wt=13): 4775 K(x,1 / (y / z)) = K(x,z / y). [hyper(189,a,3083,a,b,4773,a(flip)),flip(a)]. given #4229 (H,wt=13): 4776 K(x,y / (z * y)) = K(x,z \ 1). [para(18(a,1),4773(a,1,2,1)),flip(a)]. given #4230 (H,wt=13): 4777 K(x,(y \ z) / z) = K(x,y \ 1). [para(67(a,1),4773(a,1,2,1)),flip(a)]. given #4231 (H,wt=13): 4778 K(x,((y \ z) / z) \ 1) = K(x,y). [para(67(a,1),4773(a,2,2))]. given #4232 (H,wt=16): 4771 K(((x \ 1) \ y) / y,z) != u | K(x,z) = u. [para(4767(a,2),2659(a,1))]. given #4233 (H,wt=16): 4774 K(x,(y / z) \ 1) != u | K(x,z / y) = u. [para(4768(a,2),3872(a,1))]. given #4234 (H,wt=17): 4527 ((x \ (1 / y)) * x) * y = K((x * y) \ 1,x). [hyper(189,a,1165,a(flip),b,4359,a(flip)),flip(a)]. given #4235 (H,wt=17): 4545 x * (K(y,x) * K(x,z)) = T(x,z) * K(y,x). [para(1959(a,1),4376(a,1,2))]. given #4236 (H,wt=17): 4548 (x \ y) * T((x \ y) \ y,z) = K(x,z) * y. [hyper(735,a,4377,a)]. given #4237 (H,wt=17): 4562 K(x,y) * T(T(y,x),z) = y * K(T(y,x),z). [para(4360(a,2),4382(a,1,2)),flip(a)]. given #4238 (H,wt=17): 4569 K(x,y) \ (z * T(x,y)) = x * T(z,T(x,y)). [hyper(75,a,113,a(flip),b,4407,a)]. given #4239 (H,wt=17): 4600 T(x * y,y) / T(x,y) = y * K(x * y,y). [para(35(a,2),4444(a,1,2))]. given #4240 (H,wt=17): 4603 (x \ 1) \ K(x \ y,x) = K(x \ 1,y) * x. [hyper(75,a,4461,a(flip),b,4376,a)]. given #4241 (H,wt=17): 4608 K(x,x \ y) * (((x \ y) \ y) \ z) = x \ z. [para(114(a,1),4541(a,1,2,1))]. given #4242 (H,wt=17): 4633 K(x,y) * K(y \ 1,y) = (T(y,x) \ 1) * y. [para(4357(a,2),2320(a,1,1))]. given #4243 (H,wt=17): 4635 K(x \ 1,x) * K(y,x) = (T(x,y) \ 1) * x. [para(4357(a,2),2482(a,1,2))]. given #4244 (H,wt=17): 4636 x * ((T(y,x) \ 1) * T(y,y \ 1)) = T(x,y). [para(4357(a,1),4396(a,2,2)),flip(a)]. given #4245 (H,wt=17): 4653 T(x,y) * K(z,T(x,y)) = T(x * K(z,x),y). [hyper(21,a,4405,a,b,4423,a),flip(a)]. given #4246 (H,wt=17): 4656 K(x,T(y,z)) * T(y,z) = T(y * K(x,y),z). [hyper(189,a,4468,a(flip),b,4424,a),flip(a)]. given #4247 (H,wt=17): 4657 T(x * K(y,x),z) / T(x,z) = K(y,T(x,z)). [hyper(76,a,4424,a,b,4468,a(flip))]. given #4248 (H,wt=17): 4658 T(x,y) \ T(x * K(z,x),y) = K(z,T(x,y)). [hyper(75,a,4424,a,b,4375,a(flip))]. given #4249 (H,wt=17): 4660 T(x * K(y,x),z) \ T(x,z) = K(T(x,z),y). [para(4424(a,2),4354(a,2,1)),flip(a)]. given #4250 (H,wt=17): 4669 x * (K(x,y) * K(x,z)) = K(x,y) * T(x,z). [para(4360(a,2),4552(a,1,2,2))]. given #4251 (H,wt=17): 4671 K(x,y / (z \ 1)) * (z \ T(z * y,x)) = y. [para(729(a,1),4581(a,1,2))]. given #4252 (H,wt=17): 4674 K(T(T(x,y) * y,z),x) = K(T(x * y,z),x). [para(3322(a,2),4622(a,1,1,1))]. given #4253 (H,wt=17): 4698 T(T(x,y) * y,x) = x * ((1 / x) * (x * y)). [hyper(189,a,4206,a(flip),b,4234,a)]. given #4254 (H,wt=17): 4707 K(x,x \ y) * ((y / x) \ z) = (x \ y) \ z. [hyper(75,a,17,a(flip),b,4302,a),flip(a)]. given #4255 (H,wt=17): 4726 K(x,y \ 1) * (y \ x) = y \ T(x,y \ 1). [hyper(189,a,3358,a,b,4344,a)]. given #4256 (H,wt=17): 4727 (x \ T(y,x \ 1)) / (x \ y) = K(y,x \ 1). [hyper(76,a,3358,a,b,4344,a)]. given #4257 (H,wt=17): 4728 (x * K(y \ 1,x)) / ((x \ (y \ x)) * x) = y. [hyper(88,a,4381,a)]. given #4258 (H,wt=17): 4736 (((x * y) / x) \ 1) \ 1 = (y \ 1) \ K(x,y). [hyper(189,a,2116,a(flip),b,4477,a),flip(a)]. given #4259 (H,wt=15): 4805 (x \ K(x,y)) \ 1 = (x \ 1) \ K(y,x). [para(4497(a,1),4736(a,1,1))]. given #4260 (H,wt=17): 4761 x \ (y * T(y \ x,x)) = K((y / x) \ 1,x). [hyper(75,a,4526,a(flip),b,2754,a(flip))]. given #4261 (H,wt=17): 4779 K(x,1 / (K(y,z) / u)) = K(x,u * K(z,y)). [para(3890(a,1),4775(a,2,2))]. given #4262 (H,wt=17): 4783 (x * K(y,x)) * K(x,z) = T(x,z) * K(y,x). [hyper(3836,a,4545,a)]. given #4263 (H,wt=17): 4785 (x \ 1) \ K(x \ y,x) = x * K(x \ 1,y). [hyper(189,a,1155,a(flip),b,4603,a)]. given #4264 (H,wt=17): 4803 (x \ y) / (x \ T(y,x \ 1)) = K(x \ 1,y). [para(4726(a,1),3905(a,1,2))]. given #4265 (H,wt=18): 4237 T(K(x,y) * z,K(x,y)) != u | z * K(x,y) = u. [para(4227(a,2),3943(a,1))]. given #4266 (H,wt=18): 4239 (x \ y) / (x \ 1) != z * u | T(y,x) / u = z. [para(4228(a,1),251(a,1,1))]. given #4267 (H,wt=18): 4366 R(T(x,y),z,u) \ R(x,z,u) = K(y,R(x,z,u)). [para(45(a,2),4350(a,2,1)),flip(a)]. given #4268 (H,wt=18): 4397 L(x,y,z) \ L(T(x,u),y,z) = K(L(x,y,z),u). [para(43(a,2),4360(a,2,2)),flip(a)]. given #4269 (H,wt=18): 4398 R(x,y,z) \ R(T(x,u),y,z) = K(R(x,y,z),u). [para(45(a,2),4360(a,2,2)),flip(a)]. given #4270 (H,wt=18): 4446 K(L(x,y,z),u) * L(x,y,z) = L(T(x,u),y,z). [hyper(189,a,43,a,b,4403,a(flip))]. given #4271 (H,wt=16): 4810 L(T(x,y),z,u) != w | T(L(x,z,u),y) = w. [para(4446(a,1),4404(a,1))]. given #4272 (H,wt=18): 4448 R(T(x,y),z,u) / R(x,z,u) = K(R(x,z,u),y). [hyper(76,a,45,a,b,4403,a(flip))]. given #4273 (H,wt=18): 4456 K(x,y) * (y * x) != z * u | z \ (x * y) = u. [para(4353(a,2),300(a,1,1))]. given #4274 (H,wt=18): 4471 x / ((y * x) / y) != z * u | K(x,y) / u = z. [para(4372(a,1),251(a,1,1))]. given #4275 (H,wt=18): 4484 R(x * K(y,x),y,z) = ((y * x) * z) / (y * z). [para(4375(a,1),111(a,1,1))]. given #4276 (H,wt=16): 4812 R(x * K(y,x),y,x) = x * K(y * x,x). [hyper(189,a,4375,a(flip),b,4484,a)]. given #4277 (H,wt=16): 4814 R(x * K(y,x),y,x) = x * K(x * y,x). [para(4617(a,1),4812(a,2,2))]. given #4278 (H,wt=18): 4501 x * K(y,x) != z * u | z \ ((y * x) / y) = u. [para(4389(a,2),301(a,1,2))]. given #4279 (H,wt=18): 4519 T(x,y) / T(T(x,z),y) != u | K(z,T(x,y)) = u. [para(41(a,1),4415(a,1,2))]. given #4280 (H,wt=18): 4589 x * T(y,z) != u * x | T(y * K(x,y),z) = u. [para(4420(a,1),149(a,1,2)),flip(b)]. given #4281 (H,wt=18): 4625 L(x,y * K(x * y,y),x) = L(x,R(y,x,y),x). [para(4487(a,1),3724(a,1,2)),flip(a)]. given #4282 (H,wt=18): 4630 T(x * K(y,z),K(z,y)) != u | K(y,z) * x = u. [para(3955(a,1),4592(a,1,1)),flip(b)]. given #4283 (H,wt=18): 4638 x * T(x \ y,z) != u * y | K(y / x,z) = u. [para(4378(a,1),23(a,1))]. given #4284 (H,wt=18): 4667 T(K(x,y),z) * K(y,x) != u | K(z,K(y,x)) = u. [para(4539(a,1),3921(a,1,1)),flip(b)]. given #4285 (H,wt=18): 4670 K(x,y) * T(x,z) != u | K(x,z) * T(x,y) = u. [para(4557(a,2),2664(a,1))]. given #4286 (H,wt=18): 4673 K(x,y) * T(K(y,x),z) != u | K(z,K(x,y)) = u. [para(4595(a,1),3914(a,1,2)),flip(b)]. given #4287 (H,wt=18): 4682 K(x \ (x * y),z) != u * w | u \ K(y,z) = w. [para(4395(a,2),4438(a,1))]. given #4288 (H,wt=18): 4691 K(x,y) * (z * x) != u | T(x,y) * T(z,x) = u. [para(113(a,1),4564(a,1,2))]. given #4289 (H,wt=18): 4694 (T(x,y) \ x) * z != u | T(y,x) * (y \ z) = u. [para(4350(a,1),4606(a,1,1))]. given #4290 (H,wt=19): 4520 R(x * T(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). [hyper(2012,a,4352,a)]. given #4291 (H,wt=17): 4818 R(K(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). [para(4359(a,1),4520(a,1,1))]. given #4292 (H,wt=17): 4820 K(R(x \ 1,y,z) \ 1,u) = R(K(x,u),y,z). [para(2648(a,1),4818(a,1,1)),flip(a)]. given #4293 (H,wt=19): 4521 L(x * T(x \ 1,y),z,u) = K(L(x,z,u) \ 1,y). [hyper(189,a,1973,a,b,4352,a(flip)),flip(a)]. given #4294 (H,wt=17): 4824 L(K(x \ 1,y),z,u) = K(L(x,z,u) \ 1,y). [para(4359(a,1),4521(a,1,1))]. given #4295 (H,wt=14): 4826 K(L(x,y,z) \ 1,x) = K(x \ 1,x). [hyper(189,a,4093,a(flip),b,4824,a(flip))]. given #4296 (H,wt=17): 4825 L(K(1 / x,y),z,u) = K(L(x,z,u) \ 1,y). [para(4392(a,1),4521(a,1,1))]. given #4297 (H,wt=17): 4829 K(L(x \ 1,y,z) \ 1,u) = L(K(x,u),y,z). [para(2648(a,1),4824(a,1,1)),flip(a)]. given #4298 (H,wt=17): 4832 L(K(1 / x,y),z,u) = K(1 / L(x,z,u),y). [hyper(189,a,2647,a,b,4825,a)]. given #4299 (H,wt=19): 4528 (x * y) * T((x * y) \ x,z) = x * K(y \ 1,z). [para(4359(a,1),569(a,2,2))]. given #4300 (H,wt=19): 4530 K(x \ 1,y) * (x \ z) = z * T(z \ (x \ z),y). [para(4359(a,1),909(a,1,1))]. given #4301 (H,wt=19): 4531 (x * y) * T((x * y) \ y,z) = K(x \ 1,z) * y. [para(4359(a,1),1119(a,2,1))]. given #4302 (H,wt=19): 4532 x * (y * T(y \ (x \ y),z)) = K(x \ 1,z) * y. [para(4359(a,1),1125(a,2,1))]. given #4303 (H,wt=19): 4580 K(x \ y,T((x \ y) * x,z)) = K(x \ y,T(y,z)). [para(4172(a,1),4578(a,1,2))]. given #4304 (H,wt=19): 4583 T(x,y) * (K(y,x) * K(z,z \ x)) = z * (x / z). [hyper(189,a,3903,a(flip),b,4412,a)]. given #4305 (H,wt=19): 4632 T((x \ K(x,x \ y)) \ 1,y * x) = y \ (y * x). [para(4631(a,2),4247(a,1,1,1))]. given #4306 (H,wt=19): 4642 T(x,y) / T(T(x,z \ x),y) = K(x / z,T(x,y)). [para(3327(a,1),4385(a,1,2,1))]. given #4307 (H,wt=15): 4844 K(x / y,T(x,z)) = K(y \ x,T(x,z)). [hyper(4519,a,4642,a),flip(a)]. given #4308 (H,wt=18): 4845 K(x / y,T(x,z)) != u | K(y \ x,T(x,z)) = u. [para(4642(a,1),4519(a,1))]. given #4309 (H,wt=19): 4646 T(x * ((y * (x \ 1)) / y),z) = K(y,T(x,z) \ 1). [hyper(189,a,1802,a(flip),b,4388,a(flip)),flip(a)]. given #4310 (H,wt=15): 4846 K(x,T(y,z) \ 1) = T(K(x,y \ 1),z). [para(4388(a,1),4646(a,1,1)),flip(a)]. given #4311 (H,wt=15): 4847 K(x,T(1 / y,z) \ 1) = T(K(x,y),z). [para(69(a,1),4846(a,2,1,2))]. given #4312 (H,wt=15): 4851 K(x,y * K(z,y \ 1)) = T(K(x,y),z). [para(4678(a,1),4847(a,1,2))]. given #4313 (H,wt=17): 4848 x * K(y,T(z,x) \ 1) = K(y,z \ 1) * x. [para(4846(a,2),113(a,1,2))]. given #4314 (H,wt=17): 4854 x * K(y,x \ (z \ x)) = K(y,z \ 1) * x. [para(4267(a,1),4848(a,1,2,2))]. given #4315 (H,wt=17): 4856 K(x,(y / z) \ 1) * y = y * K(x,y \ z). [para(69(a,1),4854(a,1,2,2,2)),flip(a)]. given #4316 (H,wt=19): 4649 x * K(y,(x \ z) \ 1) = z * ((y * (z \ x)) / y). [para(4388(a,1),1414(a,1,2))]. given #4317 (H,wt=19): 4659 T(x,T(y,z)) * T(y,z) = x * T(y * K(x,y),z). [para(4424(a,2),3322(a,2,2))]. given #4318 (H,wt=19): 4676 x / (((y \ (x * z)) * y) / z) = K(y,x / (y / z)). [para(1579(a,1),4640(a,1,2))]. given #4319 (H,wt=19): 4677 K(1 / x,y) / (1 / x) = 1 / (K(y,x \ 1) / x). [para(4647(a,2),4511(a,2,2))]. given #4320 (H,wt=19): 4702 ((x \ 1) \ y) * (x \ 1) = y * K(y * x,x \ 1). [para(4275(a,1),213(a,1,2)),flip(a)]. given #4321 (H,wt=19): 4735 K(x,y) * T((z * y) / z,x) = y * K(z,T(y,x)). [para(4476(a,2),4383(a,1,2))]. given #4322 (H,wt=19): 4753 x \ T(x * y,z) = y * K((y \ (x \ 1)) \ 1,z). [hyper(785,a,4524,a)]. given #4323 (H,wt=19): 4754 (x * y) * K(((x * y) \ y) \ 1,z) = T(x,z) * y. [hyper(571,a,4524,a),flip(a)]. given #4324 (H,wt=19): 4756 K((x / y) \ 1,z) * y = y * K((y \ x) \ 1,z). [hyper(189,a,4524,a(flip),b,4526,a)]. given #4325 (H,wt=19): 4790 x * (K(y,y \ 1) * ((T(y,x) \ 1) * y)) = T(x,y). [para(2500(a,2),4636(a,1,2))]. given #4326 (H,wt=19): 4795 T(x * K(T(x,y) \ z,x),y) \ z = z / T(x,y). [para(4653(a,1),4310(a,1,1))]. given #4327 (H,wt=19): 4801 T(x,T(T(x,y) * y,z)) = K(T(x * y,z),x) \ x. [para(4674(a,1),4371(a,2,1))]. given #4328 (H,wt=17): 4861 T(x,T(T(x,y) * y,z)) = T(x,T(x * y,z)). [hyper(189,a,4371,a,b,4801,a)]. given #4329 (H,wt=19): 4804 (x * K((x / y) \ 1,x)) / ((x \ y) * x) = x / y. [para(69(a,1),4728(a,1,2,1,2))]. given #4330 (H,wt=17): 4863 (x * K(x \ y,x)) / ((x \ y) * x) = x / y. [para(4763(a,1),4804(a,1,1,2))]. given #4331 (H,wt=15): 4864 (x / (x / y)) / ((y \ x) * y) = y / x. [para(4318(a,2),4863(a,1,1))]. given #4332 (H,wt=15): 4865 (x / y) \ (y / (y / x)) = (x \ y) * x. [para(4864(a,1),69(a,1,1))]. given #4333 (H,wt=19): 4821 K(x,R(y \ 1,z,u) \ 1) = R(K(y,x),z,u) \ 1. [para(4820(a,1),3871(a,1,1)),flip(a)]. given #4334 (H,wt=19): 4833 K(x,L(y \ 1,z,u) \ 1) = L(K(y,x),z,u) \ 1. [para(4829(a,1),3871(a,1,1)),flip(a)]. given #4335 (H,wt=19): 4838 (x * y) \ (K(x \ 1,z) * y) = T((x * y) \ y,z). [hyper(80,a,4531,a)]. given #4336 (H,wt=19): 4843 T((x \ 1) \ K(x \ y,x),y * x) = y \ (y * x). [para(4805(a,1),4632(a,1,1))]. given #4337 (H,wt=17): 4868 T(x * K(x \ 1,y),y * x) = y \ (y * x). [para(4785(a,1),4843(a,1,1))]. given #4338 (H,wt=13): 4869 T(x * K(x \ 1,y),y * x) = x. [hyper(189,a,16,a(flip),b,4868,a)]. given #4339 (H,wt=19): 4852 K(x,y * K(y * z,y \ 1)) = T(K(x,y),z * y). [para(4701(a,1),4851(a,1,2,2))]. given #4340 (H,wt=15): 4872 T(K(x,y),z * y) = T(K(x,y),y * z). [hyper(189,a,4851,a(flip),b,4852,a(flip))]. given #4341 (H,wt=19): 4853 K(x,(y / z) \ 1) * z = z * K(x,(z \ y) \ 1). [para(115(a,1),4848(a,1,2,2,1)),flip(a)]. given #4342 (H,wt=17): 4874 x * K(y,(x \ z) \ 1) = K(y,x / z) * x. [para(4773(a,1),4853(a,1,1)),flip(a)]. given #4343 (H,wt=15): 4875 T(K(x,y / z),y) = K(x,(y \ z) \ 1). [hyper(148,a,4874,a)]. given #4344 (H,wt=19): 4860 x * (y * K((y \ (x \ 1)) \ 1,z)) = T(x * y,z). [para(4753(a,1),17(a,1,2))]. given #4345 (H,wt=19): 4873 T(K(x,y),z * y) * K(y,x) = K(K(x,y),y * z). [para(4872(a,2),4445(a,1,1))]. given #4346 (H,wt=15): 4877 K(K(x,y),y * z) = K(z * y,K(y,x)). [hyper(4667,a,4873,a),flip(a)]. given #4347 (H,wt=15): 4878 K(x * y,K(y,z)) = K(y * x,K(y,z)). [hyper(4693,a,4877,a),flip(a)]. given #4348 (H,wt=20): 4284 L(K(x,y),z,u) \ 1 != w | 1 / L(K(x,y),z,u) = w. [para(2194(a,1),4255(a,1,1))]. given #4349 (H,wt=20): 4299 K(x,x \ y) * ((x \ y) * x) != z * u | y / u = z. [para(4294(a,1),297(a,1,1))]. given #4350 (H,wt=20): 4347 K(x,x \ y) * (y / (y / x)) != z * u | z \ x = u. [para(4325(a,2),3916(a,1,2))]. given #4351 (H,wt=20): 4490 L(x * K(y * z,x),z,y) = (y * (z * x)) / (y * z). [para(4375(a,1),663(a,1,1))]. given #4352 (H,wt=20): 4556 (x * y) \ (y * (K(x,y) * z)) = L(x \ z,T(x,y),y). [para(4377(a,1),153(a,1,2,2))]. given #4353 (H,wt=20): 4565 K(x,y) * (x * z) != u * w | u \ (T(x,y) * z) = w. [para(4383(a,1),3916(a,1,2))]. given #4354 (H,wt=20): 4609 K(x,y) * (y \ z) != u * w | u \ (T(y,x) \ z) = w. [para(4541(a,1),3916(a,1,2))]. given #4355 (H,wt=20): 4634 K(x,y) * K(y \ 1,y) != z | (T(y,x) \ 1) * y = z. [para(4357(a,2),2346(a,1,1))]. given #4356 (H,wt=20): 4639 x * T(x \ y,z) != y * u | T(K(y / x,z),y) = u. [para(4378(a,1),148(a,2)),flip(a)]. given #4357 (H,wt=20): 4654 T(x * K(y * R(x,z,u),x),y) = R(x,y,R(x,z,u)). [hyper(21,a,1667,a,b,4423,a)]. given #4358 (H,wt=20): 4661 T(x * K(y,x),z) != u | T(x,z) * K(y,T(x,z)) = u. [para(4424(a,2),4422(a,1))]. given #4359 (H,wt=20): 4680 x \ ((x \ 1) \ 1) != y * z | y \ K(x,1 / x) = z. [para(625(a,1),4438(a,1,2))]. given #4360 (H,wt=20): 4684 T(x * L(x \ 1,x,y),y) = T(x,y) * ((x * y) \ y). [para(4683(a,1),1340(a,1,1,2))]. given #4361 (H,wt=14): 4880 L(T(x,y) \ 1,x,y) = (x * y) \ y. [hyper(1924,a,4684,a)]. given #4362 (H,wt=13): 4881 (x * y) \ T(x,y) = (y * x) \ x. [hyper(189,a,4002,a(flip),b,4880,a(flip)),flip(a)]. given #4363 (H,wt=20): 4729 L(x,y,z) * K(u,L(x,y,z)) = L(x * K(u,x),y,z). [hyper(21,a,4405,a,b,4425,a),flip(a)]. given #4364 (H,wt=20): 4732 R(x,y,z) * K(u,R(x,y,z)) = R(x * K(u,x),y,z). [hyper(21,a,4405,a,b,4426,a),flip(a)]. given #4365 (H,wt=20): 4737 L(x * K(y,x),z,u) / L(x,z,u) = K(y,L(x,z,u)). [hyper(76,a,4488,a,b,4468,a(flip))]. given #4366 (H,wt=20): 4738 L(x * K(y,x),z,u) \ L(x,z,u) = K(L(x,z,u),y). [para(4488(a,2),4354(a,2,1)),flip(a)]. given #4367 (H,wt=20): 4739 L(x,y,z) / L(x * K(u,x),y,z) = K(L(x,y,z),u). [para(4488(a,2),4469(a,2,2)),flip(a)]. given #4368 (H,wt=20): 4741 R(x,y,z) \ R(x * K(u,x),y,z) = K(u,R(x,y,z)). [hyper(75,a,4489,a,b,4375,a(flip))]. given #4369 (H,wt=20): 4743 R(x * K(y,x),z,u) \ R(x,z,u) = K(R(x,z,u),y). [para(4489(a,2),4354(a,2,1)),flip(a)]. given #4370 (H,wt=20): 4744 R(x,y,z) / R(x * K(u,x),y,z) = K(R(x,y,z),u). [para(4489(a,2),4469(a,2,2)),flip(a)]. given #4371 (H,wt=20): 4747 (x \ y) * T(x,y) != z * x | x \ (y * K(x,y)) = z. [para(4499(a,1),23(a,1))]. given #4372 (H,wt=20): 4750 x * K((x \ y) \ 1,z) != u | y * T(y \ x,z) = u. [para(4523(a,1),203(a,1,2)),flip(b)]. given #4373 (H,wt=20): 4755 x * T(x \ y,z) != y * u | K((y \ x) \ 1,z) = u. [para(4524(a,2),22(a,1))]. given #4374 (H,wt=20): 4787 K(x \ y,x) * (x \ z) != u | ((x \ y) \ y) \ z = u. [para(4608(a,1),3914(a,1,2)),flip(b)]. given #4375 (H,wt=18): 4891 T(x,x \ y) \ z != u | ((x \ y) \ y) \ z = u. [para(4558(a,1),4787(a,1))]. given #4376 (H,wt=20): 4791 T(x,y) \ T(x * K(z,x),y) != u | K(z,T(x,y)) = u. [para(4653(a,1),237(a,1,2)),flip(b)]. given #4377 (H,wt=20): 4794 T(x * K(y,x),z) \ T(x,z) != u | K(T(x,z),y) = u. [para(4653(a,1),3922(a,1,1))]. given #4378 (H,wt=20): 4798 T(x,y) * K(z,T(x,y)) != u | T(x * K(z,x),y) = u. [para(4658(a,1),203(a,1,2)),flip(b)]. given #4379 (H,wt=18): 4893 T((x * y) / x,z) != u | T(y * K(x,y),z) = u. [para(4476(a,2),4798(a,1))]. given #4380 (H,wt=20): 4800 K(x,y) * T(x,z) != x * u | K(x,y) * K(x,z) = u. [para(4669(a,1),22(a,1))]. given #4381 (H,wt=20): 4806 T(T(x,y) * z,K(x,y)) != u | (x * z) * K(x,y) = u. [para(4407(a,1),4237(a,1,1))]. given #4382 (H,wt=20): 4815 R(T(x * K(y,x),z),y,x) = T(x * K(x * y,x),z). [para(4814(a,1),45(a,2,1))]. given #4383 (H,wt=20): 4835 L(K(1 / x,y),z,u) != w | K(L(x,z,u) \ 1,y) = w. [para(4832(a,2),4254(a,1))]. given #4384 (H,wt=20): 4855 K(x,y \ 1) * z != z * u | K(x,z \ (y \ z)) = u. [para(4854(a,1),22(a,1))]. given #4385 (H,wt=20): 4857 x * K(y,x \ z) != u * x | K(y,(x / z) \ 1) = u. [para(4856(a,1),23(a,1))]. given #4386 (H,wt=20): 4879 K(x \ 1,x) * K(y,x) != z | (T(x,y) \ 1) * x = z. [para(2475(a,2),4634(a,1))]. given #4387 (H,wt=20): 4894 L(K(x \ 1,y),z,u) != w | K(L(x,z,u) \ 1,y) = w. [para(2647(a,1),4835(a,1,1))]. given #4388 (H,wt=21): 4335 T(x,y) * K(T(x,y) \ y,T(x,y)) = y / (T(y,x) / x). [para(3523(a,2),4318(a,1,2)),flip(a)]. given #4389 (H,wt=19): 4895 T(x * K(T(x,y) \ y,x),y) = y / (T(y,x) / x). [hyper(4798,a,4335,a)]. given #4390 (H,wt=17): 4896 T(x * K(x \ y,x),y) = y / (T(y,x) / x). [para(3680(a,1),4895(a,1,1,2))]. given #4391 (H,wt=14): 4897 L(x,x \ y,x) = y / (T(y,x) / x). [hyper(189,a,4336,a(flip),b,4896,a(flip)),flip(a)]. given #4392 (H,wt=15): 4898 T(x / (x / y),x) = x / (T(x,y) / y). [para(4318(a,2),4896(a,1,1))]. given #4393 (H,wt=15): 4900 x / (x / T(y,x)) = T(x / (x / y),x). [para(3523(a,1),4898(a,2,2)),flip(a)]. given #4394 (H,wt=15): 4901 T(x / (x / y),x) \ x = x / T(y,x). [para(4900(a,1),69(a,1,1))]. given #4395 (H,wt=17): 4902 x * (x / (x / T(y,x))) = y * ((y \ x) * y). [para(4900(a,2),3645(a,1,2))]. given #4396 (H,wt=19): 4903 ((x \ y) * x) * T(x,y) = y * (y / (y / T(x,y))). [hyper(189,a,3516,a,b,4902,a),flip(a)]. given #4397 (H,wt=15): 4904 (x \ T(y,x)) * T(x,y) = (x \ y) * x. [hyper(3815,a,4903,a)]. given #4398 (H,wt=18): 4905 (x \ y) * x != z * T(x,y) | x \ T(y,x) = z. [para(4904(a,1),23(a,1))]. given #4399 (H,wt=21): 4401 K(x,y) * ((x \ 1) \ z) = z * T(z \ ((x \ 1) \ z),y). [para(4360(a,2),918(a,1,1))]. given #4400 (H,wt=21): 4427 R(T(x * K(y,x),z),u,w) * y = y * R(T(x,z),u,w). [para(4374(a,1),509(a,1,2,1,1)),flip(a)]. given #4401 (H,wt=20): 4907 T(x * K(x * y,x),z) * y = y * R(T(x,z),y,x). [para(4815(a,1),4427(a,1,1))]. given #4402 (H,wt=18): 4908 T(T(x * K(x * y,x),z),y) = R(T(x,z),y,x). [hyper(147,a,4907,a,b,xx)]. given #4403 (H,wt=18): 4910 T(T(x * K(y * x,x),z),y) = R(T(x,z),y,x). [para(4617(a,2),4908(a,1,1,1,2))]. given #4404 (H,wt=21): 4440 (x * y) * K(y,z) != u * T(y,z) | R(x,y,K(y,z)) = u. [para(4396(a,2),376(a,2,2))]. given #4405 (H,wt=21): 4453 (x * K(y,z)) \ (x * T(y,z)) != u | L(y,K(y,z),x) = u. [para(4403(a,2),355(a,1,2,2))]. given #4406 (H,wt=21): 4459 K(x,x \ 1) / ((y * x) \ y) = 1 / T((y * x) \ y,x). [hyper(76,a,1990,a(flip),b,4355,a(flip))]. given #4407 (H,wt=19): 4911 K(x,x \ 1) / ((y * x) \ y) = ((y * x) \ y) \ 1. [hyper(189,a,1999,a(flip),b,4459,a)]. given #4408 (H,wt=21): 4474 (x * y) * K(T(y,x),x * y) = T(y,x * y) * T(x,y). [hyper(3813,a,4375,a),flip(a)]. given #4409 (H,wt=21): 4506 ((x * y) * z) / (x * z) != u | R(y * K(x,y),x,z) = u. [para(4405(a,1),385(a,1,1,1))]. given #4410 (H,wt=21): 4508 L(x * K(y,x),z,u) * T(y,x) = T(y,x) * L(x,z,u). [para(4431(a,1),159(a,1,2,1)),flip(a)]. given #4411 (H,wt=21): 4513 L(x,y,z) \ L(T(x,u),y,z) != w | K(L(x,y,z),u) = w. [para(43(a,2),4413(a,1,2))]. given #4412 (H,wt=21): 4514 R(x,y,z) \ R(T(x,u),y,z) != w | K(R(x,y,z),u) = w. [para(45(a,2),4413(a,1,2))]. given #4413 (H,wt=21): 4525 (x \ y) * K(((x \ y) \ (x \ 1)) \ 1,z) = x \ T(y,z). [para(4352(a,1),1077(a,1,2))]. given #4414 (H,wt=21): 4648 (x * y) * ((z * ((x * y) \ x)) / z) = x * K(z,y \ 1). [para(4388(a,1),1398(a,2,2))]. given #4415 (H,wt=21): 4650 (x * y) * ((z * ((x * y) \ y)) / z) = K(z,x \ 1) * y. [para(4388(a,1),1796(a,2,1))]. given #4416 (H,wt=21): 4675 x / (y * (z * T(z \ (y \ x),u))) = K(u,x / (y * z)). [para(713(a,1),4640(a,1,2))]. given #4417 (H,wt=21): 4757 K(((x \ 1) / (x \ y)) \ 1,z) * (x \ y) = x \ T(y,z). [hyper(189,a,771,a(flip),b,4526,a)]. given #4418 (H,wt=21): 4772 K(x \ 1,y) * ((y \ (x \ y)) \ z) = ((x \ y) / y) \ z. [para(4769(a,1),4308(a,1,1))]. given #4419 (H,wt=21): 4799 T(x,y) \ T(x * K(x * z,x),y) = K(z * x,T(x,y)). [para(4617(a,1),4658(a,1,2,1,2))]. given #4420 (H,wt=15): 4921 K(x * y,T(y,z)) = K(y * x,T(y,z)). [hyper(4791,a,4799,a),flip(a)]. given #4421 (H,wt=21): 4807 K(x \ R(x,y,z),R(x,u,w)) = R(x,u,w) \ R(x,u,w). [para(3255(a,1),4366(a,1,1,1)),flip(a)]. given #4422 (H,wt=16): 4922 K(x \ R(x,y,z),R(x,u,w)) != v5 | 1 = v5. [para(4807(a,2),181(a,1))]. given #4423 (H,wt=21): 4808 K(R(x,y,z),x \ R(x,u,w)) = R(x,y,z) \ R(x,y,z). [para(3255(a,1),4398(a,1,2,1)),flip(a)]. given #4424 (H,wt=13): 4923 K(R(x,y,z),x \ R(x,u,w)) = 1. [hyper(189,a,59,a(flip),b,4808,a)]. given #4425 (H,wt=21): 4809 L(T(x,y),z,u) != w * L(x,z,u) | K(L(x,z,u),y) = w. [para(4446(a,1),23(a,1))]. given #4426 (H,wt=21): 4822 K(x,R(y \ 1,z,u) \ 1) * w = R(K(y,x),z,u) \ w. [para(4820(a,1),3889(a,1,1)),flip(a)]. given #4427 (H,wt=21): 4830 K(L(T(1 / x,y),z,u) \ 1,w) = L(T(K(x,w),y),z,u). [para(4749(a,1),4824(a,1,1)),flip(a)]. given #4428 (H,wt=21): 4831 (L(x,y,z) \ x) \ ((L(x,y,z) \ 1) * x) = K(x \ 1,x). [hyper(189,a,969,a,b,4826,a(flip)),flip(a)]. given #4429 (H,wt=21): 4837 K(x,y) * ((1 / x) \ z) = z * T(z \ ((1 / x) \ z),y). [para(69(a,1),4530(a,1,1,1))]. given #4430 (H,wt=21): 4839 ((1 / x) * y) * T(((1 / x) * y) \ y,z) = K(x,z) * y. [para(69(a,1),4531(a,2,1,1))]. given #4431 (H,wt=21): 4842 K(x \ y,T((x \ y) * x,z)) = K(x \ y,T(y,T(z,y))). [para(3521(a,2),4580(a,2,2))]. given #4432 (H,wt=21): 4858 x * ((x \ y) * K(z,x \ y)) = y * K(z,(y \ x) \ 1). [hyper(189,a,4479,a(flip),b,4649,a),flip(a)]. given #4433 (H,wt=18): 4928 L(K(x,y \ z),y \ z,y) = K(x,(z \ y) \ 1). [hyper(404,a,4858,a)]. given #4434 (H,wt=21): 4912 (1 / ((x * y) \ x)) * K(y,y \ 1) = ((x * y) \ x) \ 1. [hyper(3206,a,4911,a)]. given #4435 (H,wt=21): 4926 (L(x,y,z) \ x) * K(x \ 1,x) = (L(x,y,z) \ 1) * x. [para(4831(a,1),17(a,1,2))]. given #4436 (H,wt=22): 4462 L(T(x \ y,z) \ 1,x \ y,x) = y \ (x * K(z,x \ y)). [para(4358(a,2),103(a,1,2,2)),flip(a)]. given #4437 (H,wt=22): 4504 T(x,y) * K(y * R(x,z,u),T(x,y)) = R(x,y,R(x,z,u)). [hyper(21,a,1667,a,b,4405,a)]. given #4438 (H,wt=22): 4509 (x * y) \ (y * (K(x,y) * (x * z))) = L(z,x,y * K(x,y)). [para(4451(a,1),4029(a,1,1))]. given #4439 (H,wt=20): 4932 (x * y) \ (y * (T(x,y) * z)) = L(z,x,y * K(x,y)). [para(4407(a,1),4509(a,1,2,2))]. given #4440 (H,wt=15): 4933 L(x,y,z * K(y,z)) = L(x,T(y,z),z). [hyper(644,a,4932,a),flip(a)]. given #4441 (H,wt=18): 4934 L(x,y,z * K(y,z)) != u | L(x,T(y,z),z) = u. [para(4932(a,1),644(a,1))]. given #4442 (H,wt=22): 4535 (x * (y \ 1)) \ (x * (T(y,z) \ 1)) = L(K(z,y),y \ 1,x). [para(4369(a,1),31(a,2,2,2)),flip(a)]. given #4443 (H,wt=22): 4590 (x * T(y,z)) / x != u * w | u \ T(y * K(x,y),z) = w. [para(4420(a,1),408(a,1,1,2))]. given #4444 (H,wt=22): 4610 (L(x,y,z) \ u) / (L(T(x,w),y,z) \ u) = K(L(x,y,z),w). [para(43(a,2),4547(a,1,2,1))]. given #4445 (H,wt=22): 4613 (R(x,y,z) * u) / (R(T(x,w),y,z) * u) = K(w,R(x,y,z)). [para(45(a,2),4553(a,1,2,1))]. given #4446 (H,wt=22): 4651 x * ((y * (x \ 1)) / y) != z * u | K(y,x \ 1) / u = z. [para(4393(a,1),298(a,1,2))]. given #4447 (H,wt=22): 4652 L(x,y,z) \ K(x,L(x,y,z) \ 1) = (L(x,y,z) \ x) / x. [para(964(a,1),4393(a,2,1))]. given #4448 (H,wt=22): 4655 (x * T(y,z)) / x != u * w | T(y * K(x,y),z) / w = u. [para(4423(a,1),251(a,1,1))]. given #4449 (H,wt=22): 4687 x * (y * T(y \ (x \ 1),z)) != u | K((x * y) \ 1,z) = u. [para(713(a,1),4516(a,1))]. given #4450 (H,wt=21): 4935 (x * T(x \ y,z)) * (y \ 1) = K((x * (y \ 1)) \ 1,z). [hyper(4687,a,1159,a),flip(a)]. given #4451 (H,wt=22): 4688 R(x * T(x \ 1,y),z,u) != w | K(R(x,z,u) \ 1,y) = w. [para(2013(a,1),4516(a,1))]. given #4452 (H,wt=20): 4937 R(K(x \ 1,y),z,u) != w | K(R(x,z,u) \ 1,y) = w. [para(4359(a,1),4688(a,1,1))]. given #4453 (H,wt=22): 4689 L(x * T(x \ 1,y),z,u) != w | K(L(x,z,u) \ 1,y) = w. [para(1973(a,2),4517(a,1))]. given #4454 (H,wt=22): 4692 T(x,y) * (T(x,z) \ u) != w | K(x,y) * (K(z,x) * u) = w. [para(4551(a,1),4571(a,1,2))]. given #4455 (H,wt=22): 4745 R(x,y,z) \ K(R(x,y,z),u) = R(x * K(u,x),y,z) \ 1. [para(4489(a,2),4497(a,1,1)),flip(a)]. given #4456 (H,wt=22): 4784 (x \ y) * T((x \ y) \ y,z) != y * u | T(K(x,z),y) = u. [para(4548(a,2),148(a,2)),flip(a)]. given #4457 (H,wt=22): 4796 T(R(x,y,x),z) / T(T(x,y),z) = K(x * y,T(T(x,y),z)). [para(4475(a,1),4657(a,1,1,1))]. given #4458 (H,wt=22): 4816 x * K(y \ z,z \ y) != u | K(y \ z,z \ y) * x = u. [para(2521(a,1),4630(a,1))]. given #4459 (H,wt=22): 4819 K(R(x,y,z) \ 1,u) * (y * z) = (K(x \ 1,u) * y) * z. [para(4818(a,1),110(a,1,1))]. given #4460 (H,wt=22): 4827 (x * y) * K(L(z,y,x) \ 1,u) = x * (y * K(z \ 1,u)). [para(4824(a,1),102(a,1,2))]. given #4461 (H,wt=22): 4866 L(x,K(L(y \ 1,z,u) \ 1,w),L(K(y,w),z,u) \ 1) = x. [para(4833(a,1),3888(a,1,3))]. given #4462 (H,wt=18): 4943 L(x,L(K(y,z),u,w),L(K(y,z),u,w) \ 1) = x. [para(4829(a,1),4866(a,1,2))]. given #4463 (H,wt=19): 4944 x / (L(K(y,z),u,w) * x) = 1 / L(K(y,z),u,w). [hyper(76,a,4943,a(flip),b,2374,a)]. given #4464 (H,wt=19): 4945 x / (L(K(y,z),u,w) * x) = L(K(y,z),u,w) \ 1. [hyper(189,a,2191,a(flip),b,4944,a)]. given #4465 (H,wt=19): 4946 (L(K(x,y),z,u) \ 1) \ w = L(K(x,y),z,u) * w. [para(4945(a,1),69(a,1,1))]. given #4466 (H,wt=22): 4867 (x * y) * T((x * y) \ y,z) != u | K(x \ 1,z) * y = u. [para(4838(a,1),203(a,1,2)),flip(b)]. given #4467 (H,wt=22): 4889 (x / y) * K(y \ 1,z) != u | x * T(x \ (x / y),z) = u. [para(69(a,1),4750(a,1,2,1,1))]. given #4468 (H,wt=22): 4890 x \ T(x * y,z) != u | (x \ 1) * T((x \ 1) \ y,z) = u. [para(4753(a,2),4750(a,1))]. given #4469 (H,wt=22): 4913 (((x * y) \ x) \ 1) \ K(y,y \ 1) != z | (x * y) \ x = z. [para(4911(a,1),236(a,1,1)),flip(b)]. given #4470 (H,wt=22): 4938 R(T(x,y),z,x) / T(T(x,z),y) = K(x * z,T(T(x,z),y)). [para(45(a,2),4796(a,1,1))]. given #4471 (H,wt=22): 4947 x * (y * T(y \ (x \ y),z)) != u | K(x \ 1,z) * y = u. [para(713(a,1),4867(a,1))]. given #4472 (H,wt=23): 4334 R(x * K(x \ y,x),z,u) * (y / x) = (y / x) * R(x,z,u). [para(4318(a,1),514(a,1,1,1))]. given #4473 (H,wt=23): 4458 (x * y) \ T((x * y) * K(y,x),z) = T(y * x,z) / (x * y). [para(4353(a,2),4154(a,1,2,1,2))]. given #4474 (H,wt=19): 4949 T(x * y,z) / (y * x) = (y * x) \ T(x * y,z). [para(95(a,1),4458(a,1,2,1)),flip(a)]. given #4475 (H,wt=19): 4950 ((x * y) \ T(y * x,z)) * (x * y) = T(y * x,z). [para(4949(a,1),19(a,1,1))]. given #4476 (H,wt=22): 4951 T(x * y,z) != u * (y * x) | (y * x) \ T(x * y,z) = u. [para(4950(a,1),23(a,1))]. given #4477 (H,wt=23): 4470 K(L(x,y,z),z * y) * ((z * (y * x)) / (z * y)) = L(x,y,z). [para(102(a,1),4372(a,1,2,1))]. given #4478 (H,wt=23): 4472 K(L(x,y,z),z * y) * (z * (y * x)) = L(x,y,z) * (z * y). [para(102(a,1),4373(a,1,2))]. given #4479 (H,wt=23): 4483 ((x * y) * z) / R(x,y,z) = (y * z) * K(R(x,y,z),y * z). [para(110(a,1),4375(a,1,1))]. given #4480 (H,wt=23): 4492 ((x * y) * T(y,z)) / (x * T(y,z)) = y * K(x * T(y,z),y). [para(1476(a,1),4375(a,1,1))]. given #4481 (H,wt=23): 4503 (x * T(y,z)) \ (x * K(y,z)) != u | L(y \ 1,T(y,z),x) = u. [para(4391(a,2),355(a,1,2,2))]. given #4482 (H,wt=23): 4510 ((x * ((y * z) / y)) / x) / ((x * z) / x) = K(y,(x * z) / x). [hyper(76,a,760,a,b,4468,a(flip))]. given #4483 (H,wt=23): 4588 T(x,x \ y) / (y \ x) = ((1 / (y \ x)) \ y) * (1 / (y \ x)). [para(4416(a,1),2698(a,1,1))]. given #4484 (H,wt=23): 4615 (T(x,y) * y) / ((T(x,y) * y) / x) = x * K(y * K(x,y),x). [para(4570(a,1),4318(a,2,2,1))]. given #4485 (H,wt=19): 4955 (T(x,y) * y) / ((T(x,y) * y) / x) = x * K(y,x). [para(4430(a,1),4615(a,2,2))]. given #4486 (H,wt=23): 4637 (x * (y * T(y \ z,u))) / (x * z) = K((x * z) / (x * y),u). [hyper(76,a,712,a(flip),b,4378,a)]. given #4487 (H,wt=23): 4740 L(x * K(y,x),z,u) != L(x,z,u) * w | K(y,L(x,z,u)) = w. [para(4488(a,2),4481(a,1))]. given #4488 (H,wt=23): 4782 K(x,R(y / z,z,u) \ 1) != w | K(x,(z * u) / (y * u)) = w. [para(111(a,2),4774(a,1,2,1))]. given #4489 (H,wt=23): 4789 ((T(x,y) \ 1) * x) * T((x \ 1) \ 1,z) = K(y,x) * T(x,z). [para(4633(a,1),2885(a,1,1))]. given #4490 (H,wt=23): 4797 T(T(x * K(y,x),z),u) / T(T(x,z),u) = K(y,T(T(x,z),u)). [para(4653(a,1),4657(a,1,1,1))]. given #4491 (H,wt=22): 4958 R(T(x,y),z,x) / T(T(x,y),z) = K(z * x,T(T(x,y),z)). [para(4910(a,1),4797(a,1,1))]. given #4492 (H,wt=23): 4823 T(K(x,R(y \ 1,z,u) \ 1),w) = T(R(K(y,x),z,u),w) \ 1. [para(4820(a,1),4266(a,1,1,1)),flip(a)]. given #4493 (H,wt=23): 4834 (x * K(L(y \ 1,z,u) \ 1,w)) \ x = L(K(y,w),z,u) \ 1. [para(4829(a,1),3868(a,2,1))]. given #4494 (H,wt=19): 4960 (x * L(K(y,z),u,w)) \ x = L(K(y,z),u,w) \ 1. [para(4829(a,1),4834(a,1,1,2))]. given #4495 (H,wt=23): 4836 ((x * y) * T((x * y) \ x,z)) * y = (x * y) * K(y \ 1,z). [hyper(189,a,1100,a(flip),b,4528,a(flip)),flip(a)]. given #4496 (H,wt=19): 4961 (x * K(y \ 1,z)) * y = (x * y) * K(y \ 1,z). [para(4528(a,1),4836(a,1,1))]. given #4497 (H,wt=19): 4964 (x * K(y \ 1,z)) / y = (x / y) * K(y \ 1,z). [hyper(76,a,90,a(flip),b,4961,a)]. given #4498 (H,wt=21): 4963 x \ ((y * x) * K(x \ 1,z)) = T(y * K(x \ 1,z),x). [hyper(147,a,4961,a,b,17,a),flip(a)]. given #4499 (H,wt=23): 4840 x * (y \ T(y * (x \ (y \ 1)),z)) = K(x \ 1,z) * (y \ 1). [para(729(a,1),4532(a,1,2))]. given #4500 (H,wt=23): 4859 (((x \ y) \ 1) \ x) * ((x \ y) \ 1) = x * K(y,(x \ y) \ 1). [para(17(a,1),4702(a,2,2,1))]. given #4501 (H,wt=23): 4876 K(x,y) * (z * K((z \ K(y,x)) \ 1,u)) = T(K(x,y) * z,u). [para(3871(a,1),4860(a,1,2,2,1,1,2))]. given #4502 (H,wt=23): 4883 L(x * K(y,x),z,u) / L(x,z,u) != w | K(y,L(x,z,u)) = w. [para(4729(a,1),2757(a,1,1))]. given #4503 (H,wt=23): 4884 L(x * K(y,x),z,u) \ L(x,z,u) != w | K(L(x,z,u),y) = w. [para(4729(a,1),3922(a,1,1))]. given #4504 (H,wt=23): 4885 R(x,y,z) \ R(x * K(u,x),y,z) != w | K(u,R(x,y,z)) = w. [para(4732(a,1),237(a,1,2)),flip(b)]. given #4505 (H,wt=23): 4886 R(x * K(y,x),z,u) \ R(x,z,u) != w | K(R(x,z,u),y) = w. [para(4732(a,1),3922(a,1,1))]. given #4506 (H,wt=23): 4906 (x \ 1) * (K(x,y) * ((x \ 1) \ z)) = K((x \ 1) \ 1,y) * z. [para(4401(a,2),4532(a,1,2))]. given #4507 (H,wt=19): 4970 (x \ 1) * (K(x,y) * ((x \ 1) \ z)) = K(x,y) * z. [para(2648(a,1),4906(a,2,1))]. given #4508 (H,wt=23): 4920 K(x,y) * ((y \ ((x \ 1) \ y)) \ z) = (((x \ 1) \ y) / y) \ z. [para(2648(a,1),4772(a,1,1))]. given #4509 (H,wt=23): 4927 (1 / x) * (K(x,y) * ((1 / x) \ z)) = K((1 / x) \ 1,y) * z. [para(4837(a,2),4532(a,1,2))]. given #4510 (H,wt=19): 4971 (1 / x) * (K(x,y) * ((1 / x) \ z)) = K(x,y) * z. [para(69(a,1),4927(a,2,1,1))]. given #4511 (H,wt=19): 4972 K(x,y) * ((1 / x) * z) = (1 / x) * (K(x,y) * z). [para(16(a,1),4971(a,1,2,2)),flip(a)]. given #4512 (H,wt=19): 4974 (K(x,y) * ((1 / x) * z)) / (K(x,y) * z) = 1 / x. [hyper(76,a,4972,a,b,xx)]. given #4513 (H,wt=23): 4929 (((x * y) \ x) \ 1) / ((y \ 1) \ 1) = (1 / ((x * y) \ x)) / y. [hyper(76,a,4912,a(flip),b,2257,a)]. given #4514 (H,wt=23): 4930 ((L(x,y,z) \ 1) * x) * (1 / x) = (L(x,y,z) \ x) * (x \ 1). [para(4926(a,1),2284(a,1,1))]. given #4515 (H,wt=23): 4936 (x * K((x \ y) \ 1,z)) * (x \ 1) = K((y * (x \ 1)) \ 1,z). [para(4524(a,1),4935(a,1,1))]. given #4516 (H,wt=23): 4952 (x * y) * K(R(y,x,y),x * y) = ((y * x) / R(y,x,y)) * y. [hyper(1649,a,4483,a),flip(a)]. given #4517 (H,wt=22): 4980 ((x * y) / R(x,y,x)) * x = (y * x) * K(T(x,y),y * x). [para(3899(a,1),4952(a,1,2)),flip(a)]. given #4518 (H,wt=20): 4981 ((x * y) / R(x,y,x)) * x = T(x,y * x) * T(y,x). [hyper(189,a,4474,a(flip),b,4980,a)]. given #4519 (H,wt=23): 4954 T(x,x \ y) / (y \ x) = (((y \ x) \ 1) \ y) * ((y \ x) \ 1). [hyper(189,a,2534,a(flip),b,4588,a)]. given #4520 (H,wt=23): 4957 K((x * y) / (x * (z \ y)),u) = (x * (K(z,u) * y)) / (x * y). [para(4548(a,1),4637(a,1,1,2)),flip(a)]. given #4521 (H,wt=23): 4959 T(K(x,R(y \ 1,z,u) \ 1),w) = R(T(K(y,x),w),z,u) \ 1. [para(45(a,2),4823(a,2,1))]. given #4522 (H,wt=21): 4983 R(T(K(x,y),z),u,w) \ 1 = T(R(K(x,y),u,w) \ 1,z). [para(4821(a,1),4959(a,1,1)),flip(a)]. given #4523 (H,wt=23): 4967 x \ ((y * x) * K(x \ 1,x)) = x * (T((x \ 1) \ 1,y) \ y). [hyper(189,a,4018,a(flip),b,4963,a)]. given #4524 (H,wt=21): 4984 x * (T((x \ 1) \ 1,y) \ y) = x \ (y * (1 / (1 / x))). [para(2611(a,1),4967(a,1,2)),flip(a)]. given #4525 (H,wt=23): 4968 K(x,y) * (K(y,x) * T(K(y,x) \ z,u)) = T(K(x,y) * z,u). [para(4524(a,2),4876(a,1,2))]. given #4526 (H,wt=19): 4985 T(K(x \ 1,x) * y,z) = K(x \ 1,x) * T(y,z). [para(4149(a,1),4968(a,1,2)),flip(a)]. given #4527 (H,wt=19): 4987 T(x * K(y \ 1,y),z) = K(y \ 1,y) * T(x,z). [para(2475(a,1),4985(a,1,1))]. given #4528 (H,wt=21): 4988 T(K(x,y) * K(z \ 1,z),x) = K(z \ 1,z) * K(x,y). [para(2649(a,1),4987(a,2,2))]. given #4529 (H,wt=19): 4989 T((T(x,y) \ 1) * x,y) = K(x \ 1,x) * K(y,x). [para(4633(a,1),4988(a,1,1))]. given #4530 (H,wt=17): 4990 T((T(x,y) \ 1) * x,y) = (T(x,y) \ 1) * x. [hyper(189,a,4635,a(flip),b,4989,a)]. given #4531 (H,wt=20): 4991 T((T(x,y) \ 1) * x,y) != z | (T(x,y) \ 1) * x = z. [para(4989(a,2),4879(a,1))]. given #4532 (H,wt=23): 4969 T(K(x,y) * (z * K(y,x)),u) = K(x,y) * (T(z,u) * K(y,x)). [para(4754(a,1),4876(a,1,2)),flip(a)]. given #4533 (H,wt=24): 4274 ((x * y) / x) * L(z,y * (x \ 1),x) = x * ((y * (x \ 1)) * z). [para(4259(a,1),102(a,1,1))]. given #4534 (H,wt=24): 4498 (x * y) * K(T(y,x),x * y) != z | T(y,x * y) * T(x,y) = z. [para(4375(a,1),3813(a,1))]. given #4535 (H,wt=24): 4507 L(x * K(y,x),K(x * K(y,x),y),z) = (z * K(x,y)) \ (z * x). [para(4430(a,2),3904(a,1,2))]. given #4536 (H,wt=24): 4662 L(x * K(y,x),z,u) * T(y,x) != w | T(y,x) * L(x,z,u) = w. [para(4455(a,1),690(a,1,1,1))]. given #4537 (H,wt=24): 4720 R(x \ y,(y / x) \ x,x \ y) = ((x \ y) \ (y / (y / x))) \ x. [para(4717(a,1),3674(a,1,2))]. given #4538 (H,wt=20): 4993 R(x \ y,(y / x) \ x,x \ y) = ((y / x) \ x) \ x. [para(4717(a,1),4720(a,2,1))]. given #4539 (H,wt=24): 4731 (x * L(y,z,u)) / x != w * v5 | L(y * K(x,y),z,u) / v5 = w. [para(4425(a,1),251(a,1,1))]. given #4540 (H,wt=24): 4733 (x * R(y,z,u)) / x != w * v5 | w \ R(y * K(x,y),z,u) = v5. [para(4426(a,1),406(a,1,1))]. given #4541 (H,wt=24): 4746 R(x,y,z) * (K(u,R(x,y,z)) * w) = R(x * K(u,x),y,z) * w. [para(4489(a,2),4496(a,1,1)),flip(a)]. given #4542 (H,wt=24): 4762 K((x / y) \ 1,z) * y != u * w | u \ (x * T(x \ y,z)) = w. [para(4526(a,2),426(a,1))]. given #4543 (H,wt=24): 4792 (x * y) \ (y * T(x * K(z,x),y)) = L(K(z,T(x,y)),T(x,y),y). [para(4653(a,1),153(a,1,2,2))]. given #4544 (H,wt=22): 4995 L(K(x,T(y,z)),T(y,z),z) = (y * z) \ ((y * K(x,y)) * z). [para(113(a,1),4792(a,1,2)),flip(a)]. given #4545 (H,wt=21): 4996 R(T(K(x,y),y * z),y,z) = L(K(x,T(y,z)),T(y,z),z). [hyper(189,a,2770,a(flip),b,4995,a),flip(a)]. given #4546 (H,wt=24): 4828 K(L(x,y,z) \ 1,(x \ 1) * L((x \ 1) \ 1,u,w)) = L(1,y,z). [para(1342(a,1),4824(a,1,1)),flip(a)]. given #4547 (H,wt=21): 4997 K(L(x,y,z) \ 1,(x \ 1) * L((x \ 1) \ 1,u,w)) = 1. [hyper(189,a,265,a(flip),b,4828,a)]. given #4548 (H,wt=15): 4999 K(L(x,y,z) \ 1,x \ L(x,u,w)) = 1. [para(854(a,1),4997(a,1,2))]. given #4549 (H,wt=20): 5000 T(L(x,y,z) \ 1,x \ L(x,u,w)) = L(x,y,z) \ 1. [hyper(40,a,4999,a)]. given #4550 (H,wt=20): 5001 T(x \ L(x,y,z),L(x,u,w) \ 1) = x \ L(x,y,z). [hyper(38,a,5000,a)]. given #4551 (H,wt=22): 5002 T(L(x,y,z) * (x \ 1),L(x,u,w) \ 1) = x \ L(x,y,z). [para(962(a,2),5001(a,1,1))]. given #4552 (H,wt=23): 5003 (L(x,y,z) * (x \ 1)) \ (x \ 1) = (x \ 1) / (x \ L(x,y,z)). [para(5002(a,1),3758(a,1,2)),flip(a)]. given #4553 (H,wt=19): 5004 (L(x,y,z) * (x \ 1)) \ (x \ 1) = L(x,y,z) \ 1. [hyper(189,a,2169,a(flip),b,5003,a)]. given #4554 (H,wt=17): 5005 (x \ L(x,y,z)) \ (x \ 1) = L(x,y,z) \ 1. [para(962(a,1),5004(a,1,1))]. given #4555 (H,wt=17): 5006 (L(x,y,z) \ x) * (x \ 1) = L(x,y,z) \ 1. [hyper(189,a,4700,a(flip),b,5005,a(flip)),flip(a)]. given #4556 (H,wt=17): 5007 (L(x,y,z) \ x) \ (L(x,y,z) \ 1) = x \ 1. [hyper(75,a,5005,a(flip),b,4700,a(flip))]. given #4557 (H,wt=21): 5008 (L(1 / x,y,z) \ 1) / x = L(1 / x,y,z) \ (1 / x). [hyper(257,a,5006,a)]. given #4558 (H,wt=24): 4871 (x * K(x \ 1,y)) / x != z | K(y * x,x * K(x \ 1,y)) = z. [para(4869(a,1),4415(a,1,2))]. given #4559 (H,wt=24): 4916 (x * y) * (z * (L(y \ z,y,x) / z)) = (x * K(z,y \ 1)) * z. [para(4648(a,1),1810(a,1,1)),flip(a)]. given #4560 (H,wt=24): 4965 (x * y) * K(y \ 1,z) != y * u | T(x * K(y \ 1,z),y) = u. [para(4961(a,1),148(a,2)),flip(a)]. given #4561 (H,wt=24): 4966 T((x / y) * K(y \ 1,z),y) != u | y \ (x * K(y \ 1,z)) = u. [para(4964(a,1),307(a,1,1))]. given #4562 (H,wt=24): 4982 T(x,(x \ y) * x) * T(x \ y,x) = (y / R(x,x \ y,x)) * x. [para(17(a,1),4981(a,1,1,1)),flip(a)]. given #4563 (H,wt=20): 5010 (x / R(y,y \ x,y)) * y = T(y,x) * T(y \ x,y). [para(3508(a,1),4982(a,1,1)),flip(a)]. given #4564 (H,wt=18): 5011 (x / R(y,y \ x,y)) * y = (y \ x) * T(y,x). [hyper(189,a,3333,a(flip),b,5010,a)]. given #4565 (H,wt=16): 5012 x / R(y,y \ x,y) = y \ (x * K(y,x)). [hyper(21,a,4499,a,b,5011,a)]. given #4566 (H,wt=16): 5013 x / R(y,y \ x,y) = (y * K(x,y)) \ x. [hyper(189,a,4641,a,b,5012,a)]. given #4567 (H,wt=17): 5014 x / ((y \ x) \ T(x,y)) = (y * K(x,y)) \ x. [para(3670(a,1),5013(a,1,2))]. given #4568 (H,wt=17): 5015 ((x * K(y,x)) \ y) \ y = (x \ y) \ T(y,x). [para(5014(a,1),69(a,1,1))]. given #4569 (H,wt=17): 5016 (x \ (y * K(x,y))) \ y = (x \ y) \ T(y,x). [para(4641(a,1),5015(a,1,1))]. given #4570 (H,wt=17): 5017 (x \ ((x * y) / x)) \ y = (x \ y) \ T(y,x). [para(4375(a,2),5016(a,1,1,2))]. given #4571 (H,wt=25): 4203 (T(x,x \ T(y,z)) / y) * T(y,z) = (x / y) * T(x * (y / x),z). [hyper(189,a,4038,a(flip),b,4181,a(flip))]. given #4572 (H,wt=25): 4402 K(a(x,y,z),z \ L(z,y,x)) = a(x,y,z) \ ((a(x,y,z) \ 1) \ 1). [para(2218(a,1),4360(a,2,2))]. given #4573 (H,wt=23): 5018 a(x,y,z) \ K(a(x,y,z),z \ L(z,y,x)) = 1 / a(x,y,z). [para(4402(a,2),1758(a,1,2))]. given #4574 (H,wt=25): 4546 (K(x,y) * z) \ T(T(x,y) * z,x) != u | R(x,K(x,y) * z,x) = u. [para(4376(a,1),3672(a,1,2,1))]. given #4575 (H,wt=25): 4572 ((T(x,y) * z) * u) / ((x * z) * u) != w | R(K(x,y),x * z,u) = w. [para(4407(a,1),385(a,1,1,1))]. given #4576 (H,wt=25): 4601 (x \ y) * T((x \ y) \ T(y,x),z) = T(x * K(y,x),z) * (x \ y). [para(4444(a,1),323(a,1,1,1)),flip(a)]. given #4577 (H,wt=19): 5019 T(x * K(y,x),z) * (x \ y) = x \ (y * T(x,z)). [hyper(189,a,1101,a(flip),b,4601,a(flip))]. given #4578 (H,wt=25): 4672 x / (K(y,x * K(z,x)) * K(x * K(z,x),z)) = T(x * K(z,x),y). [para(4374(a,1),4584(a,1,1))]. given #4579 (H,wt=25): 4752 (x * y) \ ((z * T(z \ x,u)) * y) = K(((x * y) \ (z * y)) \ 1,u). [para(1100(a,1),4523(a,1,2))]. given #4580 (H,wt=25): 4759 (x * (y * T(y \ z,u))) / (x * z) = K(((x * y) / (x * z)) \ 1,u). [hyper(76,a,712,a(flip),b,4526,a)]. given #4581 (H,wt=25): 4770 ((x \ y) / y) \ K(x \ 1,((x \ y) / y) \ 1) = 1 / ((x \ y) / y). [hyper(75,a,4767,a(flip),b,1535,a(flip))]. given #4582 (H,wt=19): 5022 ((x \ y) / y) \ K(x \ 1,x) = 1 / ((x \ y) / y). [para(4778(a,1),4770(a,1,2))]. given #4583 (H,wt=23): 5023 (((x \ 1) \ y) / y) \ K(x,x \ 1) = 1 / (((x \ 1) \ y) / y). [para(1838(a,1),5022(a,1,2))]. given #4584 (H,wt=25): 4793 T(x,y) * K(z,T(x,x * (y / x))) = T(x * K(z,x),x * (y / x)). [para(3510(a,1),4653(a,1,1))]. given #4585 (H,wt=21): 5025 T(x * K(y,x),x * (z / x)) = T(x,z) * K(y,T(x,z)). [para(3510(a,1),4793(a,1,2,2)),flip(a)]. given #4586 (H,wt=19): 5026 T(x * K(y,x),x * (z / x)) = T(x * K(y,x),z). [hyper(189,a,4653,a(flip),b,5025,a)]. given #4587 (H,wt=23): 5027 T(x * K(y,x),T(z * x,u)) = T(x * K(y,x),T(x * z,u)). [para(4159(a,1),5026(a,1,2)),flip(a)]. given #4588 (H,wt=25): 4909 x * R(T(y,z),x,y) != x * u | T(T(y * K(y * x,y),z),x) = u. [para(4907(a,1),148(a,2)),flip(a)]. given #4589 (H,wt=25): 4915 ((x * y) * ((z * ((x * y) \ x)) / z)) * y = (x * y) * K(z,y \ 1). [hyper(189,a,1785,a(flip),b,4648,a(flip)),flip(a)]. given #4590 (H,wt=19): 5028 (x * K(y,z \ 1)) * z = (x * z) * K(y,z \ 1). [para(4648(a,1),4915(a,1,1))]. given #4591 (H,wt=23): 5032 (x * K(y,(z \ 1) \ 1)) * (z \ 1) = (x * (z \ 1)) * K(y,z). [para(3081(a,1),5028(a,2,2))]. given #4592 (H,wt=19): 5033 (x * K(y,z)) * (z \ 1) = (x * (z \ 1)) * K(y,z). [para(3081(a,1),5032(a,1,1,2))]. given #4593 (H,wt=25): 4918 x / (y * (((z \ ((y \ x) * u)) * z) / u)) = K(z,x / (y * (z / u))). [para(1579(a,1),4675(a,1,2,2))]. given #4594 (H,wt=25): 4939 (K(x \ 1,y) * z) * u != w * (z * u) | K(R(x,z,u) \ 1,y) = w. [para(4819(a,1),23(a,1))]. given #4595 (H,wt=25): 4941 (x * y) * z != x * (y * K(u \ 1,w)) | K(L(u,y,x) \ 1,w) = z. [para(4827(a,1),22(a,1)),flip(a)]. given #4596 (H,wt=25): 4956 (x * (y \ T(y * z,u))) / (x * z) = K((x * z) / (x * (y \ 1)),u). [para(729(a,1),4637(a,1,1,2))]. given #4597 (H,wt=25): 4975 (K(x,y) * z) \ (K(x,y) * ((1 / x) * z)) = T(1 / x,K(x,y) * z). [hyper(75,a,4972,a,b,113,a)]. given #4598 (H,wt=20): 5034 L(T(1 / x,y),y,K(x,z)) = T(1 / x,K(x,z) * y). [hyper(645,a,4975,a)]. given #4599 (H,wt=24): 5035 L(T(K(x,y),z),z,K(x,u)) = K(T(1 / x,K(x,u) * z) \ 1,y). [para(5034(a,1),4830(a,1,1,1)),flip(a)]. given #4600 (H,wt=20): 5036 L(T(K(x,y),z),z,K(x,u)) = T(K(x,y),K(x,u) * z). [hyper(189,a,4749,a(flip),b,5035,a)]. given #4601 (H,wt=25): 4994 R(x * K(y,x),z,u) * (z * u) = K(y,R(x,z,u)) * ((x * z) * u). [hyper(3847,a,4746,a),flip(a)]. given #4602 (H,wt=22): 5037 K(x,R(y,z,u)) * ((y * z) * u) = ((y * K(x,y)) * z) * u. [hyper(204,a,4994,a),flip(a)]. given #4603 (H,wt=22): 5038 K(x,R(y,z,u)) * ((y * z) * u) = (y * (K(x,y) * z)) * u. [para(3828(a,1),5037(a,2,1))]. given #4604 (H,wt=26): 4071 (x * y) \ ((x * (y * z)) * K(u \ 1,u)) = L(z,y,x) * K(u \ 1,u). [para(4060(a,1),400(a,1,1))]. given #4605 (H,wt=26): 4132 (x * y) \ ((x * (y * z)) * K(u,u \ 1)) = K(u,u \ 1) * L(z,y,x). [para(31(a,2),4129(a,2,2))]. given #4606 (H,wt=26): 4190 R((x \ (y / z)) * x,z,z \ 1) / (z \ 1) = z * ((x \ (z \ y)) * x). [hyper(3257,a,4183,a)]. given #4607 (H,wt=23): 5042 ((x \ (y * (z \ 1))) * x) / (z \ 1) = z * ((x \ (z \ y)) * x). [para(3272(a,1),4190(a,1,1))]. given #4608 (H,wt=21): 5043 x / (y * ((z \ (y \ x)) * z)) = K(z,x / (z / (y \ 1))). [para(5042(a,1),4676(a,1,2))]. given #4609 (H,wt=26): 4457 R(T(K(x,y),(y * x) * z),y * x,z) = ((y * x) * z) \ ((x * y) * z). [para(4353(a,2),720(a,1,1,1))]. given #4610 (H,wt=26): 4491 ((x * y) * L(y,z,u)) / (x * L(y,z,u)) = y * K(x * L(y,z,u),y). [para(1248(a,1),4375(a,1,1))]. given #4611 (H,wt=20): 5046 T(x * K(y * L(x,z,u),x),y) = R(x,y,L(x,z,u)). [para(4491(a,1),603(a,2,1)),flip(a)]. given #4612 (H,wt=22): 5045 R(x * K(y,x),y,L(x,z,u)) = x * K(y * L(x,z,u),x). [hyper(4506,a,4491,a)]. given #4613 (H,wt=22): 5048 T(x,y) * K(y * L(x,z,u),T(x,y)) = R(x,y,L(x,z,u)). [hyper(4661,a,5046,a)]. given #4614 (H,wt=26): 4493 ((x * y) * R(y,z,u)) / (x * R(y,z,u)) = y * K(x * R(y,z,u),y). [para(1643(a,1),4375(a,1,1))]. given #4615 (H,wt=26): 4533 (x * y) * (z * T(z \ L(y \ z,y,x),u)) = (x * K(y \ 1,u)) * z. [para(4359(a,1),1858(a,2,1,2))]. given #4616 (H,wt=26): 4544 (x * ((K(x,y) * z) * u)) \ ((T(x,y) * z) * u) = a(x,K(x,y) * z,u). [para(4376(a,1),27(a,2,2,1)),flip(a)]. given #4617 (H,wt=26): 4690 K(x,R(y,z,u)) * (z * u) != w | T(R(y,z,u),x) \ ((y * z) * u) = w. [para(133(a,1),4561(a,1,2))]. given #4618 (H,wt=26): 4730 L(L(x,y,z) * K(u,L(x,y,z)),w,v5) * u = u * L(L(x,w,v5),y,z). [para(48(a,1),4425(a,2,2))]. given #4619 (H,wt=23): 5055 L(L(x * K(y,x),z,u),w,v5) * y = y * L(L(x,w,v5),z,u). [para(4729(a,1),4730(a,1,1,1))]. given #4620 (H,wt=26): 4888 K(R(x,y,z),T(x,u) * u) = R(x,y,z) / R(x * K(x * u,x),y,z). [para(4621(a,1),4744(a,1,2,1,2)),flip(a)]. given #4621 (H,wt=19): 5056 K(R(x,y,z),T(x,u) * u) = K(R(x,y,z),x * u). [hyper(189,a,4744,a(flip),b,4888,a)]. given #4622 (H,wt=26): 4953 T(T(x * K(y * T(x,z),x),u),y) = R(T(y \ (y * x),u),y,T(x,z)). [para(4492(a,1),763(a,1,1,1))]. given #4623 (H,wt=22): 5057 T(T(x * K(y * T(x,z),x),u),y) = R(T(x,u),y,T(x,z)). [para(16(a,1),4953(a,2,1,1))]. given #4624 (H,wt=26): 4976 (1 / x) * (K(x,y) * z) != u * w | u \ (K(x,y) * ((1 / x) * z)) = w. [para(4972(a,1),426(a,1))]. given #4625 (H,wt=26): 4977 (1 / x) * (K(x,y) * z) != u * w | (K(x,y) * ((1 / x) * z)) / w = u. [para(4974(a,1),297(a,1,1))]. given #4626 (H,wt=26): 4978 ((L(x,y,z) \ 1) * x) * (1 / x) != u * (x \ 1) | L(x,y,z) \ x = u. [para(4930(a,2),23(a,1))]. given #4627 (H,wt=26): 4992 T(K(x,y) * (z * K(y,x)),u) != K(x,y) * w | T(z,u) * K(y,x) = w. [para(4969(a,2),22(a,1))]. given #4628 (H,wt=26): 5039 (x * y) \ (x * ((y * z) * K(u \ 1,u))) = L(z,y,x) * K(u \ 1,u). [para(4068(a,1),4071(a,1,2))]. given #4629 (H,wt=26): 5041 (x * y) \ (x * ((y * z) * K(u,u \ 1))) = K(u,u \ 1) * L(z,y,x). [para(4077(a,1),4132(a,1,2))]. given #4630 (H,wt=26): 5058 (x * y) \ (x * (y * (z * K(u \ 1,u)))) = L(z,y,x) * K(u \ 1,u). [para(4068(a,1),5039(a,1,2,2))]. given #4631 (H,wt=21): 5060 L(x * K(y \ 1,y),z,u) = L(x,z,u) * K(y \ 1,y). [hyper(355,a,5058,a)]. given #4632 (H,wt=14): 5061 K(x \ 1,L(x,y,z)) = K(x \ 1,x). [hyper(4740,a,5060,a)]. given #4633 (H,wt=21): 5062 L(x * K(y \ 1,y),z,u) = K(y \ 1,y) * L(x,z,u). [hyper(189,a,2475,a,b,5060,a)]. given #4634 (H,wt=21): 5064 L(K(x \ 1,x) * y,z,u) = K(x \ 1,x) * L(y,z,u). [para(2475(a,2),5062(a,1,1))]. given #4635 (H,wt=22): 5063 (x * y) * K(z \ 1,L(z,u,w)) = x * (y * K(z \ 1,z)). [para(5061(a,2),4068(a,1,2))]. given #4636 (H,wt=25): 5065 (x * y) * K(z \ 1,L(z,u,w)) = x * (y * K(z \ 1,L(z,v5,v6))). [para(5061(a,2),5063(a,2,2,2))]. given #4637 (H,wt=20): 5066 K(L(x,y,z) \ 1,L(x,u,w)) = K(x \ 1,L(x,v5,v6)). [hyper(4941,a,5065,a)]. given #4638 (H,wt=22): 5069 K(L(x,y,z) \ 1,L(x,u,w)) * K(L(x,v5,v6),x \ 1) = 1. [para(5066(a,2),3878(a,1,1))]. given #4639 (H,wt=20): 5070 K(L(x,y,z),L(x,u,w) \ 1) = K(L(x,v5,v6),x \ 1). [hyper(3894,a,5069,a)]. given #4640 (H,wt=20): 5071 L(x,y,z) \ K(L(x,u,w),x \ 1) = 1 / L(x,y,z). [hyper(75,a,5070,a(flip),b,1535,a(flip))]. given #4641 (H,wt=17): 5072 L(x,y,z) \ K(x,x \ 1) = 1 / L(x,y,z). [para(262(a,1),5071(a,1,2,1))]. given #4642 (H,wt=17): 5073 L(x,y,z) \ (1 / x) = x \ (1 / L(x,y,z)). [hyper(75,a,5072,a(flip),b,1551,a(flip)),flip(a)]. given #4643 (H,wt=26): 5059 (x * y) \ (x * (y * (z * K(u,u \ 1)))) = K(u,u \ 1) * L(z,y,x). [para(4077(a,1),5041(a,1,2,2))]. given #4644 (H,wt=21): 5074 L(x * K(y,y \ 1),z,u) = K(y,y \ 1) * L(x,z,u). [hyper(355,a,5059,a)]. given #4645 (H,wt=19): 5076 K(x,x \ 1) * L(x,y,z) = L(T(x,x \ 1),y,z). [para(1754(a,1),5074(a,1,1)),flip(a)]. given #4646 (H,wt=14): 5078 K(L(x,y,z),x \ 1) = K(x,x \ 1). [hyper(21,a,4446,a,b,5076,a),flip(a)]. given #4647 (H,wt=21): 5075 L(x * K(y,y \ 1),z,u) = L(x,z,u) * K(y,y \ 1). [hyper(189,a,2502,a(flip),b,5074,a)]. given #4648 (H,wt=14): 5080 K(x,L(x \ 1,y,z)) = K(x,x \ 1). [hyper(4740,a,5075,a)]. given #4649 (H,wt=19): 5081 L(x \ 1,y,z) * K(x,x \ 1) = L(1 / x,y,z). [para(1541(a,1),5075(a,1,1)),flip(a)]. given #4650 (H,wt=20): 5083 L(x,y,z) \ K(x,L(x \ 1,u,w)) = 1 / L(x,y,z). [para(5080(a,2),5072(a,1,2))]. given #4651 (H,wt=21): 5084 L(x \ 1,y,z) \ K(x \ 1,x) = L(1 / x,y,z) \ 1. [para(5081(a,1),3205(a,1,1)),flip(a)]. given #4652 (H,wt=21): 5085 L(1 / x,y,z) \ (1 / x) = L(x \ 1,y,z) \ (x \ 1). [para(5081(a,1),3214(a,1,1))]. given #4653 (H,wt=21): 5086 (x \ 1) * (L(x \ 1,y,z) \ x) = L(1 / x,y,z) \ 1. [hyper(189,a,970,a(flip),b,5084,a(flip)),flip(a)]. given #4654 (H,wt=22): 5079 (x * y) * K(L(z,u,w),z \ 1) = x * (y * K(z,z \ 1)). [para(5078(a,2),4077(a,1,2))]. given #4655 (H,wt=25): 5087 K(L(x \ 1,y,z),(x \ 1) \ 1) = K(L(x,u,w) \ 1,(x \ 1) \ 1). [hyper(4941,a,5079,a),flip(a)]. given #4656 (H,wt=21): 5088 K(L(x \ 1,y,z),(x \ 1) \ 1) = K(L(x,u,w) \ 1,x). [hyper(189,a,3081,a(flip),b,5087,a)]. given #4657 (H,wt=17): 5089 K(L(x \ 1,y,z),x) = K(L(x,u,w) \ 1,x). [hyper(189,a,3081,a(flip),b,5088,a(flip)),flip(a)]. given #4658 (H,wt=19): 5090 K(x,L(x,y,z) \ 1) = K(L(x \ 1,u,w),x) \ 1. [para(5089(a,2),3871(a,1,1)),flip(a)]. given #4659 (H,wt=17): 5091 K(x,L(x \ 1,y,z)) = K(x,L(x,u,w) \ 1). [hyper(189,a,3871,a(flip),b,5090,a),flip(a)]. given #4660 (H,wt=20): 5092 L(x,y,z) \ K(x,L(x,u,w) \ 1) = 1 / L(x,y,z). [para(5091(a,1),5083(a,1,2))]. given #4661 (H,wt=15): 5093 (L(x,y,z) \ x) / x = 1 / L(x,y,z). [hyper(189,a,4652,a(flip),b,5092,a(flip)),flip(a)]. given #4662 (H,wt=15): 5095 (1 / L(x,y,z)) * x = L(x,y,z) \ x. [para(5093(a,1),19(a,1,1))]. given #4663 (H,wt=13): 5096 x / L(x,y,z) = L(x,y,z) \ x. [hyper(1264,a,5095,a)]. given #4664 (H,wt=13): 5097 (L(x,y,z) \ x) * L(x,y,z) = x. [para(5096(a,1),19(a,1,1))]. given #4665 (H,wt=13): 5098 (L(x,y,z) \ x) \ x = L(x,y,z). [para(5096(a,1),69(a,1,1))]. given #4666 (H,wt=26): 5067 K(x \ 1,L(x,y,z)) * (u / L(x,w,v5)) = u / ((L(x,w,v5) \ 1) \ 1). [para(5066(a,1),2483(a,1,1))]. given #4667 (H,wt=26): 5068 K(x \ 1,L(x,y,z)) * (x / L(x,u,w)) = x * T(L(x,u,w) \ 1,x). [para(5066(a,1),2544(a,1,1))]. given #4668 (H,wt=26): 5099 K(x \ 1,L(x,y,z)) * (u / L(x,w,v5)) = u / L((x \ 1) \ 1,w,v5). [para(2200(a,2),5067(a,2,2))]. given #4669 (H,wt=27): 4323 (x * (y / x)) \ (K(x,x \ y) * (y * z)) != u | L(z,y,K(x,x \ y)) = u. [para(4314(a,1),355(a,1,1))]. given #4670 (H,wt=27): 4387 ((x \ (y * T(x,z))) * x) / T(x,z) = K(z,x) * T((x / T(x,z)) \ y,x). [para(4356(a,2),1579(a,1,1)),flip(a)]. given #4671 (H,wt=25): 5102 ((x \ (y * T(x,z))) * x) / T(x,z) = K(z,x) * T(K(z,x) \ y,x). [para(4356(a,2),4387(a,2,2,1,1))]. given #4672 (H,wt=25): 5103 (K(x,y) * T(K(x,y) \ z,y)) * T(y,x) = (y \ (z * T(y,x))) * y. [para(5102(a,1),19(a,1,1))]. given #4673 (H,wt=27): 4419 K(x \ y,x) * R(T(x,x \ y),z,u) = y \ ((R(x,z,u) * (x \ y)) * x). [para(4371(a,2),2021(a,1,2,1))]. given #4674 (H,wt=27): 4574 (T(x,y) * z) \ (K(x,y) * (x * (z * u))) = L(L(u,z,x),x * z,K(x,y)). [para(4407(a,1),348(a,1,1))]. given #4675 (H,wt=25): 5106 L(L(x,y,z),z * y,K(z,u)) = (T(z,u) * y) \ (T(z,u) * (y * x)). [para(4407(a,1),4574(a,1,2)),flip(a)]. given #4676 (H,wt=21): 5107 L(L(x,y,z),z * y,K(z,u)) != w | L(x,y,T(z,u)) = w. [para(5106(a,2),355(a,1))]. given #4677 (H,wt=27): 4742 R(x * K(y,x),z,u) \ y = R(x,z,u) \ ((R(x,z,u) * y) / R(x,z,u)). [para(4489(a,2),3697(a,1,1))]. given #4678 (H,wt=27): 4931 T(x \ y,z) * (y \ (x * K(z,x \ y))) = T((x \ y) * (y \ (x * 1)),z). [para(4462(a,1),1926(a,1,2))]. given #4679 (H,wt=25): 5108 T(x \ y,z) * (y \ (x * K(z,x \ y))) = T((x \ y) * (y \ x),z). [para(15(a,1),4931(a,2,1,2,2))]. given #4680 (H,wt=27): 4940 K(((x * y) / (z * y)) \ 1,u) * (z * y) = (K((x / z) \ 1,u) * z) * y. [para(111(a,1),4819(a,1,1,1,1))]. given #4681 (H,wt=27): 4942 (x * y) * K(((x * y) \ z) \ 1,u) = x * (y * K((y \ (x \ z)) \ 1,u)). [para(183(a,1),4827(a,1,2,1,1))]. given #4682 (H,wt=27): 4979 K((x * ((1 / y) \ 1)) \ 1,z) / y = (1 / y) * K(((1 / y) \ x) \ 1,z). [hyper(257,a,4936,a)]. given #4683 (H,wt=23): 5110 (1 / x) * K(((1 / x) \ y) \ 1,z) = K((y * x) \ 1,z) / x. [para(69(a,1),4979(a,1,1,1,1,2)),flip(a)]. given #4684 (H,wt=27): 5044 x / (y * (z * ((u \ (z \ (y \ x))) * u))) = K(u,x / (y * (u / (z \ 1)))). [para(5042(a,1),4918(a,1,2,2))]. given #4685 (H,wt=27): 5077 (x \ 1) * L(((1 / x) \ y) * K(x,x \ 1),z,u) = L(y * x,z,u) / x. [para(5074(a,2),2456(a,1,2))]. given #4686 (H,wt=21): 5112 (x \ 1) * L((x \ 1) \ y,z,u) = L(y * x,z,u) / x. [para(2508(a,1),5077(a,1,2,1))]. given #4687 (H,wt=17): 5113 L(x * y,z,u) / y = y \ L(y * x,z,u). [hyper(189,a,817,a(flip),b,5112,a(flip))]. given #4688 (H,wt=17): 5114 (x \ L(x * y,z,u)) * x = L(y * x,z,u). [para(5113(a,1),19(a,1,1))]. given #4689 (H,wt=17): 5115 x \ L(x * (y / x),z,u) = L(y,z,u) / x. [para(19(a,1),5113(a,1,1,1)),flip(a)]. given #4690 (H,wt=17): 5116 L((x \ y) * x,z,u) = (x \ L(y,z,u)) * x. [para(17(a,1),5114(a,1,1,2,1)),flip(a)]. given #4691 (H,wt=17): 5117 L(x * (y / x),z,u) = x * (L(y,z,u) / x). [para(5115(a,1),17(a,1,2)),flip(a)]. given #4692 (H,wt=17): 5120 K(x,L(x * (y / x),z,u)) = K(x,L(y,z,u)). [para(5117(a,2),4578(a,1,2))]. given #4693 (H,wt=21): 5118 L(T((x \ y) * x,z),u,w) = T((x \ L(y,u,w)) * x,z). [para(5116(a,1),43(a,2,1))]. given #4694 (H,wt=22): 5119 L((x \ ((y \ 1) \ z)) * x,y \ 1,y) = (x \ (y * z)) * x. [para(362(a,1),5116(a,2,1,2))]. given #4695 (H,wt=22): 5122 L((x \ ((y \ 1) \ (y \ z))) * x,y \ 1,y) = (x \ z) * x. [para(17(a,1),5119(a,2,1,2))]. given #4696 (H,wt=24): 5121 (x * y) * L(z * ((y \ z) / z),y,x) = (x * K(z,y \ 1)) * z. [para(5117(a,2),4916(a,1,2))]. given #4697 (H,wt=21): 5124 x * (y * (z * ((y \ z) / z))) = (x * K(z,y \ 1)) * z. [hyper(207,a,5121,a)]. given #4698 (H,wt=17): 5125 (x * K(y,z \ 1)) * y = x * T(y,z \ 1). [para(3357(a,1),5124(a,1,2)),flip(a)]. given #4699 (H,wt=17): 5130 (x * K(y,z)) * y = x * T(y,(z \ 1) \ 1). [para(3081(a,1),5125(a,1,1,2))]. given #4700 (H,wt=13): 5132 (x * K(y,z)) * y = x * T(y,z). [para(2671(a,1),5130(a,2,2))]. given #4701 (H,wt=13): 5136 (x * K(y,z)) \ (x * T(y,z)) = y. [hyper(80,a,5132,a)]. given #4702 (H,wt=8): 5150 L(x,K(x,y),z) = x. [hyper(4453,a,5136,a)]. given #4703 (H,wt=13): 5139 (x * y) * K(y,z) = x * T(y,z). [hyper(21,a,1476,a,b,5132,a)]. given #4704 (H,wt=8): 5156 R(x,y,K(y,z)) = x. [hyper(4440,a,5139,a)]. given #4705 (H,wt=13): 5140 (x / y) * T(y,z) = x * K(y,z). [hyper(21,a,1461,a,b,5132,a),flip(a)]. given #4706 (H,wt=13): 5146 (x * K(y,z)) * T(z,y) = x * z. [para(3919(a,1),5132(a,1,1)),flip(a)]. given #4707 (H,wt=13): 5157 (x * y) / K(z,y) = x * T(y,z). [hyper(3953,a,5139,a)]. given #4708 (H,wt=13): 5158 (x * T(y,z)) * K(z,y) = x * y. [hyper(3929,a,5139,a)]. given #4709 (H,wt=13): 5159 (x / y) \ (x * K(y,z)) = T(y,z). [hyper(430,a,5139,a)]. given #4710 (H,wt=13): 5164 ((x / T(y,z)) * y) \ x = K(y,z). [hyper(75,a,19,a(flip),b,5139,a)]. given #4711 (H,wt=13): 5176 (x / T(y,z)) * y = x * K(z,y). [hyper(1489,a,5146,a)]. given #4712 (H,wt=13): 5177 (x / T(y,z)) / K(z,y) = x / y. [hyper(418,a,5146,a),flip(a)]. given #4713 (H,wt=13): 5178 (x / y) * K(z,y) = x / T(y,z). [hyper(76,a,19,a(flip),b,5146,a),flip(a)]. given #4714 (H,wt=13): 5180 (x \ y) * K(y,x) = x \ T(y,x). [hyper(21,a,4904,a,b,5146,a)]. given #4715 (H,wt=15): 5133 x * T(y * K(x,z),x) = y * T(x,z). [hyper(206,a,5132,a)]. given #4716 (H,wt=15): 5138 (x * y) * K(T(x,y),z) = T(x,z) * y. [hyper(21,a,1514,a,b,5132,a)]. given #4717 (H,wt=15): 5148 (T(x,y) \ 1) * y = (x \ 1) * T(y,x). [para(4369(a,1),5132(a,1,1))]. given #4718 (H,wt=15): 5151 (x * K(y,z)) \ (x * y) = y * K(z,y). [hyper(189,a,4507,a(flip),b,5150,a(flip)),flip(a)]. given #4719 (H,wt=15): 5160 x * T(x \ y,z) = y * K(x \ y,z). [hyper(411,a,5139,a),flip(a)]. given #4720 (H,wt=13): 5208 K((x \ y) \ y,z) = T(K(x,z),y). [hyper(4784,a,5160,a),flip(a)]. given #4721 (H,wt=13): 5209 K((x \ y) \ 1,z) = K(y \ x,z). [hyper(4755,a,5160,a)]. given #4722 (H,wt=13): 5210 T(K(x / y,z),x) = K(y \ x,z). [hyper(4639,a,5160,a)]. given #4723 (H,wt=13): 5222 K(T(x,x \ y),z) = T(K(x,z),y). [para(114(a,2),5208(a,1,1))]. given #4724 (H,wt=13): 5223 T(K(x,y),z * x) = K(T(x,z),y). [para(3555(a,2),5208(a,1,1)),flip(a)]. given #4725 (H,wt=13): 5224 K(((x * y) \ x) \ 1,z) = K(y,z). [hyper(189,a,1215,a(flip),b,5209,a)]. given #4726 (H,wt=15): 5165 (x * K(y,z)) \ ((x * y) * K(y,z)) = y. [hyper(75,a,5139,a,b,5132,a)]. given #4727 (H,wt=15): 5183 (x * T(y,z)) * T(z,y) = (x * y) * z. [para(5139(a,1),5146(a,1,1))]. given #4728 (H,wt=15): 5184 (x * T(x \ y,z)) \ y = K(z,x \ y). [para(5157(a,1),184(a,1,1))]. given #4729 (H,wt=15): 5190 (x * K(y,z)) * z = (x * z) * K(y,z). [para(5146(a,1),5158(a,1,1)),flip(a)]. given #4730 (H,wt=15): 5198 x \ T(x * y,x) = y * K(x * y,x). [para(16(a,1),5180(a,1,1)),flip(a)]. given #4731 (H,wt=15): 5206 (x * K(y,z)) * (y * K(z,y)) = x * y. [para(5151(a,1),17(a,1,2))]. given #4732 (H,wt=15): 5207 x / (y * K(z,y)) = (x / y) * K(y,z). [para(5151(a,1),234(a,1,2))]. given #4733 (H,wt=15): 5226 K(T(x,y) \ 1,z) = K((x * y) \ y,z). [para(35(a,2),5209(a,1,1,1))]. given #4734 (H,wt=15): 5231 K(x,(y \ z) \ 1) = K(z \ y,x) \ 1. [para(5209(a,1),3871(a,1,1)),flip(a)]. given #4735 (H,wt=13): 5258 K(x,(y \ z) \ 1) = K(x,z \ y). [hyper(189,a,3871,a(flip),b,5231,a)]. given #4736 (H,wt=13): 5260 T(K(x,y / z),y) = K(x,z \ y). [hyper(189,a,4875,a,b,5258,a(flip)),flip(a)]. given #4737 (H,wt=13): 5261 K(x,(y * z) \ y) = K(x,z \ 1). [para(16(a,1),5258(a,1,2,1)),flip(a)]. given #4738 (H,wt=13): 5262 K(x,((y * z) \ y) \ 1) = K(x,z). [para(16(a,1),5258(a,2,2))]. given #4739 (H,wt=13): 5266 T(x \ y,K(z,y \ x)) = x \ y. [para(5258(a,1),1827(a,1,2))]. given #4740 (H,wt=13): 5273 K(x,(y \ z) \ z) = T(K(x,y),z). [para(67(a,1),5260(a,1,1,2)),flip(a)]. given #4741 (H,wt=13): 5277 K(x,T(y,y \ z)) = T(K(x,y),z). [para(114(a,2),5273(a,1,2))]. given #4742 (H,wt=13): 5278 T(K(x,y),z * y) = K(x,T(y,z)). [para(3555(a,2),5273(a,1,2)),flip(a)]. given #4743 (H,wt=13): 5279 T(K(x,y),y * z) = K(x,T(y,z)). [para(16(a,1),5277(a,1,2,2)),flip(a)]. given #4744 (H,wt=15): 5248 x * (y * K(x * y,x)) = T(x * y,x). [para(5198(a,1),17(a,1,2))]. given #4745 (H,wt=15): 5252 (x * K(y,z)) * z = x * (z * K(y,z)). [para(3919(a,1),5206(a,1,1)),flip(a)]. given #4746 (H,wt=15): 5256 K((x * y) \ y,T(x,z)) = K(x \ 1,x). [hyper(189,a,2909,a(flip),b,5226,a(flip))]. given #4747 (H,wt=15): 5257 K((x * y) \ y,z) = K(y \ (x \ y),z). [para(4267(a,1),5226(a,1,1)),flip(a)]. given #4748 (H,wt=15): 5271 K(x,y / z) * y = y * K(x,z \ y). [para(5258(a,1),4874(a,1,2)),flip(a)]. given #4749 (H,wt=15): 5284 (x * K(y,z)) \ (x * (z * K(y,z))) = z. [hyper(80,a,5252,a)]. given #4750 (H,wt=12): 5291 L(T(x,K(y,x)),K(y,x),z) = x. [hyper(645,a,5284,a)]. given #4751 (H,wt=8): 5294 L(x,K(y,x),z) = x. [para(2753(a,1),5291(a,1,1))]. given #4752 (H,wt=14): 5295 L(L(x,y,z),K(u,x),w) = L(x,y,z). [para(5294(a,1),48(a,1,1)),flip(a)]. given #4753 (H,wt=15): 5285 (x * y) * K(z,y) = x * (y * K(z,y)). [hyper(189,a,5190,a(flip),b,5252,a(flip)),flip(a)]. given #4754 (H,wt=8): 5301 R(x,y,K(z,y)) = x. [hyper(376,a,5285,a)]. given #4755 (H,wt=10): 5302 L(K(x,y),y,z) = K(x,y). [hyper(346,a,5285,a)]. given #4756 (H,wt=16): 5141 x * T(y,z) != u * y | x * K(y,z) = u. [para(5132(a,1),23(a,1))]. given #4757 (H,wt=16): 5167 (x * y) * K(y,z) != x * u | T(y,z) = u. [para(5139(a,2),22(a,1))]. given #4758 (H,wt=16): 5189 (x * y) * K(y,z) != u | x * T(y,z) = u. [para(5158(a,1),3921(a,1,1)),flip(b)]. given #4759 (H,wt=16): 5194 (x / y) * K(z,y) != u | x / T(y,z) = u. [para(5177(a,1),200(a,1,1)),flip(b)]. given #4760 (H,wt=16): 5196 (x / y) * K(x,y) != z | T(x,y) / y = z. [para(5178(a,2),3580(a,1))]. given #4761 (H,wt=16): 5202 x * T(y,z) != u | (x * K(y,z)) * y = u. [para(5133(a,1),205(a,1))]. given #4762 (H,wt=16): 5239 R(T(x,y * K(x,z)),y,K(x,z)) = T(x,y). [para(5165(a,1),832(a,1,1)),flip(a)]. given #4763 (H,wt=16): 5259 K(x,(y \ z) \ 1) != u | K(x,z \ y) = u. [para(5231(a,2),3872(a,1))]. given #4764 (H,wt=16): 5280 K(x * y,T(y,x)) != z | K(x * y,y) = z. [para(5278(a,1),2658(a,1))]. given #4765 (H,wt=14): 5321 K(x * y,x) != z | K(y * x,x) = z. [para(3734(a,1),5280(a,1))]. given #4766 (H,wt=16): 5307 L(K(x,y),y,z) = K(x,((u * y) \ u) \ 1). [hyper(189,a,5262,a,b,5302,a)]. given #4767 (H,wt=16): 5309 L(L(K(x,y),z,u),y,w) = L(K(x,y),z,u). [para(5302(a,1),48(a,1,1)),flip(a)]. given #4768 (H,wt=16): 5311 x * K(y,z) != u | (x / y) * T(y,z) = u. [para(19(a,1),5189(a,1,1))]. given #4769 (H,wt=16): 5318 K(x,1 / (y \ z)) != u | K(x,z \ y) = u. [para(3083(a,2),5259(a,1))]. given #4770 (H,wt=16): 5320 T(K(x,y / z),y) != u | K(x,z \ y) = u. [para(4875(a,2),5259(a,1))]. given #4771 (H,wt=16): 5323 K(x,((y * z) \ y) \ 1) != u | K(x,z) = u. [para(5307(a,1),3201(a,1)),flip(b)]. given #4772 (H,wt=13): 5327 L(K(x,y),y,z) != u | K(x,y) = u. [para(5307(a,2),5323(a,1))]. given #4773 (H,wt=14): 5326 K(x,(y \ 1) \ 1) != z | K(x,y) = z. [para(14(a,1),5323(a,1,2,1,1))]. given #4774 (H,wt=14): 5328 K(x,y \ 1) != z | K(x,1 / y) = z. [para(69(a,1),5326(a,1,2,1))]. given #4775 (H,wt=16): 5325 K(x,T(y / z,y)) != u | K(x,z \ y) = u. [para(4272(a,2),5318(a,1,2))]. given #4776 (H,wt=13): 5332 K(x,T(y / z,y)) = K(x,z \ y). [hyper(5325,a,xx),flip(a)]. given #4777 (H,wt=13): 5333 K(x,(y \ z) \ z) = K(x,T(y,z)). [para(67(a,1),5332(a,1,2,1)),flip(a)]. given #4778 (H,wt=11): 5334 K(x,T(y,z)) = T(K(x,y),z). [hyper(189,a,5273,a(flip),b,5333,a(flip))]. given #4779 (H,wt=11): 5341 K(x,T(y,T(x,z))) = K(x,y). [hyper(189,a,2662,a(flip),b,5334,a)]. given #4780 (H,wt=11): 5342 K(x,T(y,K(z,x))) = K(x,y). [hyper(189,a,1957,a(flip),b,5334,a)]. given #4781 (H,wt=13): 5335 K(x,T(y,y \ z)) = K(x,T(y,z)). [para(114(a,2),5333(a,1,2))]. given #4782 (H,wt=13): 5337 K((x \ y) \ y,z) = K(x,T(z,y)). [hyper(189,a,5208,a,b,5334,a),flip(a)]. given #4783 (H,wt=10): 5358 R(x,y,K(z,T(y,u))) = x. [para(5337(a,1),5301(a,1,3))]. given #4784 (H,wt=13): 5339 x \ (K(y,z) \ x) = K(z,T(y,x)). [hyper(189,a,3913,a,b,5334,a),flip(a)]. given #4785 (H,wt=13): 5340 K(x / y,T(z,x)) = K(y \ x,z). [hyper(189,a,5210,a(flip),b,5334,a)]. given #4786 (H,wt=13): 5343 K(x \ 1,T(y,x)) = K(x \ 1,y). [hyper(189,a,1153,a(flip),b,5334,a)]. given #4787 (H,wt=13): 5344 T(K(x,y),z * y) = T(K(x,y),z). [hyper(189,a,5278,a,b,5334,a(flip)),flip(a)]. given #4788 (H,wt=13): 5345 x * K(y,T(z,x)) = K(y,z) * x. [para(5334(a,2),113(a,1,2))]. given #4789 (H,wt=13): 5347 x / K(y,T(z,x)) = K(y,z) \ x. [para(5334(a,2),3866(a,1,2))]. given #4790 (H,wt=13): 5348 (K(x,y) * z) * K(y,T(x,z)) = z. [para(5334(a,2),3949(a,1,2))]. given #4791 (H,wt=13): 5349 x * T(K(x,y),z) = T(x,T(y,z)). [para(5334(a,1),4396(a,2,2)),flip(a)]. given #4792 (H,wt=13): 5353 T(x,T(y,T(x,z))) = x * K(x,y). [para(5341(a,1),4396(a,2,2))]. given #4793 (H,wt=11): 5373 T(x,T(y,T(x,z))) = T(x,y). [hyper(189,a,4396,a,b,5353,a)]. given #4794 (H,wt=13): 5355 T(x,T(y,K(z,x))) = x * K(x,y). [para(5342(a,1),4396(a,2,2))]. given #4795 (H,wt=11): 5378 T(x,T(y,K(z,x))) = T(x,y). [hyper(189,a,4396,a,b,5355,a)]. given #4796 (H,wt=13): 5360 K(x,y) * (z * K(y,T(x,z))) = z. [para(5339(a,1),63(a,1,2,2))]. given #4797 (H,wt=13): 5365 (K(x,y) * z) * K(T(y,z),x) = z. [hyper(3929,a,5345,a)]. given #4798 (H,wt=11): 5379 K(T(x,y),z) = T(K(x,z),y). [hyper(3950,a,5365,a),flip(a)]. given #4799 (H,wt=11): 5380 K(T(x,y),z) = K(x,T(z,y)). [hyper(20,a,5348,a,b,5365,a)]. given #4800 (H,wt=11): 5385 K(T(x,T(y,z)),y) = K(x,y). [hyper(189,a,2781,a(flip),b,5379,a)]. given #4801 (H,wt=11): 5386 K(T(x,y \ 1),y) = K(x,y). [hyper(189,a,1841,a(flip),b,5379,a)]. given #4802 (H,wt=11): 5389 K(T(x,x * y),y) = K(x,y). [hyper(189,a,3515,a(flip),b,5380,a)]. given #4803 (H,wt=10): 5409 K(L(x,y,x),y) = K(x,y). [hyper(3941,a,5389,a)]. given #4804 (H,wt=13): 5369 x * K(T(y,x),z) = K(z,y) \ x. [hyper(3930,a,5347,a)]. given #4805 (H,wt=13): 5370 x * K(T(y,x),z) = K(y,z) * x. [hyper(3929,a,5348,a)]. given #4806 (H,wt=13): 5381 K(T(x,x \ y),z) = K(T(x,y),z). [hyper(189,a,5222,a,b,5379,a),flip(a)]. given #4807 (H,wt=13): 5382 K((x \ y) \ y,z) = K(T(x,y),z). [hyper(189,a,5208,a,b,5379,a),flip(a)]. given #4808 (H,wt=13): 5383 K(T(x,y),y / z) = K(x,z \ y). [hyper(189,a,5260,a(flip),b,5379,a)]. given #4809 (H,wt=13): 5384 K(T(x,y * x),z) = K(T(x,y),z). [hyper(189,a,5223,a(flip),b,5379,a)]. given #4810 (H,wt=13): 5388 x * K(T(x,y),z) = T(x,T(z,y)). [para(5379(a,2),5349(a,1,2))]. given #4811 (H,wt=13): 5391 T(K(x,y),z * x) = K(x,T(y,z)). [hyper(189,a,5223,a,b,5380,a(flip)),flip(a)]. given #4812 (H,wt=13): 5392 K(x,T(y,x \ z)) = T(K(x,y),z). [hyper(189,a,5222,a(flip),b,5380,a(flip))]. given #4813 (H,wt=13): 5394 K(x / y,T(z,y)) = K(y \ x,z). [para(115(a,1),5380(a,1,1)),flip(a)]. given #4814 (H,wt=13): 5395 K(T(x,y),z / y) = K(x,y \ z). [para(115(a,1),5380(a,2,2))]. given #4815 (H,wt=13): 5396 K((x * y) / x,T(z,x)) = K(y,z). [para(142(a,1),5380(a,1,1)),flip(a)]. given #4816 (H,wt=13): 5398 K(x,T(y,T(T(x,z),u))) = K(x,y). [para(329(a,1),5380(a,1,1)),flip(a)]. given #4817 (H,wt=13): 5400 K(x,T(y,z * (x / z))) = K(x,y). [para(3780(a,1),5380(a,1,1)),flip(a)]. given #4818 (H,wt=13): 5412 K(x,T(y,z * x)) = K(x,T(y,z)). [hyper(189,a,5334,a,b,5391,a(flip)),flip(a)]. given #4819 (H,wt=13): 5414 K(x,T(y,x \ z)) = K(x,T(y,z)). [hyper(189,a,5334,a,b,5392,a)]. given #4820 (H,wt=13): 5420 K(x,T(y,z / x)) = K(x,T(y,z)). [para(19(a,1),5412(a,1,2,2)),flip(a)]. given #4821 (H,wt=13): 5421 K(x,T(y,x * z)) = K(x,T(y,z)). [para(16(a,1),5414(a,1,2,2)),flip(a)]. given #4822 (H,wt=14): 5399 K(x,T(y,R(T(x,z),u,w))) = K(x,y). [para(667(a,1),5380(a,1,1)),flip(a)]. given #4823 (H,wt=15): 5338 K(x,K(y,z)) * K(z,y) = K(z,T(y,x)). [hyper(189,a,4539,a,b,5334,a),flip(a)]. given #4824 (H,wt=15): 5357 K(x,T(y,z \ 1)) = K(x,T(y,z \ y)). [para(3749(a,1),5335(a,1,2))]. given #4825 (H,wt=15): 5367 K(x,T(y \ 1,z)) = K(x,z \ (y \ z)). [hyper(20,a,4854,a,b,5345,a)]. given #4826 (H,wt=15): 5387 T(K(x,y),z) * T(x,z) = T(T(x,z),y). [para(5379(a,1),4403(a,2,1)),flip(a)]. given #4827 (H,wt=15): 5390 x * K(T(y,z),u) = x * K(y,T(u,z)). [hyper(24,a,5380,a)]. given #4828 (H,wt=15): 5397 K(T(x,y),L(y,z,u)) = K(x,L(y,z,u)). [para(125(a,1),5380(a,2,2))]. given #4829 (H,wt=15): 5401 x / K(y,T(z,u)) = x * K(z,T(y,u)). [para(5380(a,1),3890(a,1,2))]. given #4830 (H,wt=15): 5406 K(x,T(y,z)) * T(x,z) = T(T(x,z),y). [para(5380(a,1),4403(a,2,1)),flip(a)]. given #4831 (H,wt=15): 5418 T(x,T(y,T(T(x,z),u))) = K(x,y) * x. [para(5398(a,1),4403(a,2,1))]. given #4832 (H,wt=13): 5426 T(x,T(y,T(T(x,z),u))) = T(x,y). [hyper(189,a,4403,a,b,5418,a)]. given #4833 (H,wt=15): 5419 K(x * y,T(z,y * x)) = K(x * y,z). [para(18(a,1),5400(a,1,2,2,2))]. given #4834 (H,wt=15): 5422 K(x,T(y,z \ 1)) = K(x,T(y,z \ x)). [para(3785(a,1),5420(a,1,2))]. given #4835 (H,wt=15): 5425 K(x,y) * T(x,T(z,y)) = T(T(x,y),z). [hyper(4670,a,5406,a)]. given #4836 (H,wt=16): 5346 x * K(y,T(z,x)) != u | K(y,z) * x = u. [para(5334(a,2),205(a,1,2))]. given #4837 (H,wt=16): 5371 (K(x,y) * z) * u != z | K(y,T(x,z)) = u. [para(5348(a,1),22(a,1)),flip(a)]. given #4838 (H,wt=16): 5372 T(x,T(y,z)) != x * u | T(K(x,y),z) = u. [para(5349(a,1),22(a,1))]. given #4839 (H,wt=16): 5407 x * K(T(x,y),z) != u | T(x,T(z,y)) = u. [para(5380(a,2),4399(a,1,2))]. given #4840 (H,wt=16): 5415 K((x * y) / x,T(z,x)) != u | K(y,z) = u. [para(5394(a,2),4566(a,1))]. given #4841 (H,wt=14): 5430 K(x,T(y,z)) != u | K(T(x,z),y) = u. [para(143(a,1),5415(a,1,1))]. given #4842 (H,wt=14): 5431 T(K(x,y),z) != u | K(T(x,z),y) = u. [para(5334(a,1),5430(a,1))]. given #4843 (H,wt=16): 5429 K(x / y,T(z,y)) != u | K(y \ x,z) = u. [para(17(a,1),5415(a,1,1,1))]. given #4844 (H,wt=14): 5435 K(x / y,y) != z | K(y \ x,y) = z. [para(112(a,1),5429(a,1,2))]. given #4845 (H,wt=16): 5432 T(K(x,y),z * x) != u | K(T(x,z),y) = u. [para(5391(a,2),5430(a,1))]. given #4846 (H,wt=16): 5433 T(K(x,y),z) != u | K(T(x,x \ z),y) = u. [para(5392(a,1),5430(a,1))]. given #4847 (H,wt=16): 5434 K(T(x,x \ y),z) != u | K(T(x,y),z) = u. [para(5222(a,2),5431(a,1))]. given #4848 (H,wt=16): 5436 K(x \ 1,T(y,x)) != z | K(x \ 1,y) = z. [para(2647(a,1),5429(a,1))]. given #4849 (H,wt=16): 5439 T(K(x \ 1,y),x) != z | K(x \ 1,y) = z. [para(5334(a,1),5436(a,1))]. given #4850 (H,wt=17): 5134 (K(x,y) * K(y,z)) * y = T(y,z) * K(x,y). [hyper(189,a,2759,a,b,5132,a)]. given #4851 (H,wt=17): 5211 x \ T(x * y,z) = y * K((x \ 1) \ y,z). [hyper(785,a,5160,a)]. given #4852 (H,wt=13): 5442 K((x \ 1) \ y,x) = K(x * y,x). [hyper(20,a,5198,a(flip),b,5211,a(flip))]. given #4853 (H,wt=17): 5243 (x \ T(x * y,z)) \ y = K(z,(x \ 1) \ y). [para(729(a,1),5184(a,1,1))]. given #4854 (H,wt=17): 5247 T(x * y,x) / T(x,y) = y * K(x * y,x). [hyper(189,a,3977,a,b,5198,a(flip)),flip(a)]. given #4855 (H,wt=17): 5254 (x / (y \ z)) * K(y \ z,y) = x / (z / y). [para(4295(a,1),5207(a,1,2)),flip(a)]. given #4856 (H,wt=17): 5268 K(x,(K(y,z) * u) \ 1) = K(x,u \ K(z,y)). [para(3889(a,1),5258(a,1,2,1))]. given #4857 (H,wt=17): 5269 x * K(y,z \ x) = z * ((y * (z \ x)) / y). [para(5258(a,1),4649(a,1,2))]. given #4858 (H,wt=17): 5270 K(x,(y / z) \ 1) * z = z * K(x,y \ z). [para(5258(a,1),4853(a,2,2))]. given #4859 (H,wt=17): 5281 (x * y) * K(z,T(x,y)) = K(z,x) * (x * y). [para(5279(a,1),113(a,1,2))]. given #4860 (H,wt=17): 5282 K(x,y) * K(y,T(x,z)) = K(x * z,K(x,y)). [para(5279(a,1),4463(a,1,2))]. given #4861 (H,wt=17): 5303 (x * (y \ z)) * K(y,y \ z) = x * (z / y). [para(4295(a,1),5285(a,2,2))]. given #4862 (H,wt=17): 5336 K(x,T(y * K(z,u),y)) = K(x,K(z,u) * y). [para(3931(a,1),5333(a,1,2)),flip(a)]. given #4863 (H,wt=17): 5366 (x \ y) \ (T(x,z) \ y) = K(z,T(x,x \ y)). [hyper(75,a,4558,a(flip),b,5345,a)]. given #4864 (H,wt=15): 5456 (x \ y) \ (T(x,z) \ y) = K(z,T(x,y)). [hyper(189,a,5335,a(flip),b,5366,a)]. given #4865 (H,wt=15): 5457 (x \ y) * K(z,T(x,y)) = T(x,z) \ y. [para(5456(a,1),17(a,1,2))]. given #4866 (H,wt=17): 5375 T(x / (x / y),T(z,y)) = T(x / (x / y),z). [para(164(a,1),5373(a,1,2,2))]. given #4867 (H,wt=17): 5376 T(x * K(y,x),T(z,x)) = T(x * K(y,x),z). [para(4374(a,1),5373(a,1,2,2))]. given #4868 (H,wt=17): 5393 K(R(T(x,y),z,u),w) = K(R(x,z,u),T(w,y)). [para(45(a,2),5380(a,1,1))]. given #4869 (H,wt=17): 5410 K(T(x * K(y,z),x),u) = K(K(y,z) * x,u). [para(3931(a,1),5382(a,1,1)),flip(a)]. given #4870 (H,wt=17): 5413 (x * y) * K(y,T(z,x)) = K(y,z) * (x * y). [para(5391(a,1),113(a,1,2))]. given #4871 (H,wt=15): 5460 K(x,y) * (z * x) = z * T(x,T(y,z)). [hyper(5189,a,5413,a),flip(a)]. given #4872 (H,wt=17): 5416 K(L(x,y,z),u / x) = K(L(x,y,z),x \ u). [para(125(a,1),5395(a,1,1))]. given #4873 (H,wt=17): 5423 K(x * y,T(z,x \ 1)) = K(x * y,T(z,y)). [para(3786(a,1),5420(a,1,2))]. given #4874 (H,wt=17): 5447 (x / (y / z)) * K(z,z \ y) = x / (z \ y). [hyper(3929,a,5254,a)]. given #4875 (H,wt=17): 5453 (x * (y / z)) * K(z \ y,z) = x * (z \ y). [hyper(3929,a,5303,a)]. given #4876 (H,wt=17): 5463 (x / (y / z)) * (z \ y) = x * K(z \ y,z). [hyper(252,a,5453,a),flip(a)]. given #4877 (H,wt=18): 5144 x * T(y,z) != y * u | T(x * K(y,z),y) = u. [para(5132(a,1),148(a,2)),flip(a)]. given #4878 (H,wt=18): 5145 x \ (y * T(x,z)) != u | T(y * K(x,z),x) = u. [para(5132(a,1),238(a,1,2))]. given #4879 (H,wt=18): 5174 x * K(y \ x,z) != u | y * T(y \ x,z) = u. [para(5140(a,1),456(a,1))]. given #4880 (H,wt=18): 5217 x \ (y * T(y \ x,z)) != u | K(y \ x,z) = u. [para(5160(a,2),237(a,1,2)),flip(b)]. given #4881 (H,wt=16): 5466 K((x \ y) \ 1,z) != u | K(y \ x,z) = u. [para(4523(a,1),5217(a,1))]. given #4882 (H,wt=16): 5467 K((x / y) \ 1,y) != z | K(x \ y,y) = z. [para(4761(a,1),5217(a,1))]. given #4883 (H,wt=14): 5470 K(x / y,x) != z | K(y \ x,x) = z. [para(4760(a,1),5467(a,1))]. given #4884 (H,wt=18): 5233 K(x \ y,z) \ z != u | T(z,(y \ x) \ 1) = u. [para(5209(a,1),4386(a,1,1))]. given #4885 (H,wt=13): 5471 T(x,(y \ z) \ 1) = T(x,z \ y). [hyper(5233,a,4371,a(flip))]. given #4886 (H,wt=13): 5472 T(x,(y * z) \ y) = T(x,z \ 1). [para(16(a,1),5471(a,1,2,1)),flip(a)]. given #4887 (H,wt=17): 5476 K(x,T(y,(z \ u) \ y)) = K(x,T(y,u \ z)). [para(5471(a,1),5357(a,1,2)),flip(a)]. given #4888 (H,wt=17): 5477 K(x,T(y,(z \ u) \ x)) = K(x,T(y,u \ z)). [para(5471(a,1),5422(a,1,2)),flip(a)]. given #4889 (H,wt=18): 5241 ((x * y) * z) / (y * z) = R(x,T(y,z),T(z,y)). [hyper(76,a,5183,a(flip),b,3579,a)]. given #4890 (H,wt=13): 5479 R(x,T(y,z),T(z,y)) = R(x,y,z). [hyper(385,a,5241,a),flip(a)]. given #4891 (H,wt=16): 5480 R(x,T(y,z),T(z,y)) != u | R(x,y,z) = u. [para(5241(a,1),385(a,1))]. given #4892 (H,wt=17): 5482 R(T(x,y),T(z,u),T(u,z)) = T(R(x,z,u),y). [hyper(189,a,45,a(flip),b,5479,a)]. given #4893 (H,wt=16): 5484 T(R(x,y,z),u) != w | R(T(x,u),y,z) = w. [para(5482(a,1),5480(a,1))]. given #4894 (H,wt=18): 5249 x \ T(x * y,x) != y * z | K(x * y,x) = z. [para(5198(a,2),22(a,1))]. given #4895 (H,wt=18): 5274 x * K(y,z \ x) != u * x | K(y,x / z) = u. [para(5260(a,1),149(a,1,2)),flip(b)]. given #4896 (H,wt=18): 5283 T(x * y,x) != x * z | y * K(x * y,x) = z. [para(5248(a,1),22(a,1))]. given #4897 (H,wt=18): 5292 (x * K(y,z)) * z != u | x * (z * K(y,z)) = u. [para(5284(a,1),203(a,1,2)),flip(b)]. given #4898 (H,wt=18): 5329 K(x,T(y \ 1,z)) != u | K(x,T(1 / y,z)) = u. [para(2096(a,1),5326(a,1,2))]. given #4899 (H,wt=18): 5331 x * ((y * (x \ 1)) / y) != z | K(y,1 / x) = z. [para(4388(a,2),5328(a,1))]. given #4900 (H,wt=18): 5350 K(x,y) * K(y,T(x,z)) != u | K(z,K(x,y)) = u. [para(5334(a,2),4673(a,1,2))]. given #4901 (H,wt=13): 5486 K(x * y,K(x,z)) = K(y,K(x,z)). [hyper(5350,a,5282,a),flip(a)]. given #4902 (H,wt=13): 5487 K(x * y,K(y,z)) = K(x,K(y,z)). [hyper(189,a,4878,a,b,5486,a(flip)),flip(a)]. given #4903 (H,wt=18): 5402 K(x,T(y,z)) \ u != w | K(y,T(x,z)) * u = w. [para(5380(a,1),3909(a,1,1))]. given #4904 (H,wt=18): 5403 (x * K(y,T(z,u))) \ x != w | K(z,T(y,u)) = w. [para(5380(a,1),3922(a,1,1,2))]. given #4905 (H,wt=14): 5488 K(T(x,y),z) != u | K(x,T(z,y)) = u. [para(3877(a,1),5403(a,1))]. given #4906 (H,wt=14): 5490 T(K(x,y),z) != u | K(x,T(y,z)) = u. [para(5379(a,1),5488(a,1))]. given #4907 (H,wt=16): 5491 K(x,(y \ z) \ z) != u | K(x,T(y,z)) = u. [para(5273(a,2),5490(a,1))]. given #4908 (H,wt=16): 5492 K(x,T(y,y \ z)) != u | K(x,T(y,z)) = u. [para(5277(a,2),5490(a,1))]. given #4909 (H,wt=16): 5493 T(K(x,y),z * y) != u | K(x,T(y,z)) = u. [para(5344(a,2),5490(a,1))]. given #4910 (H,wt=16): 5494 K(x,T(y,x \ z)) != u | K(x,T(y,z)) = u. [para(5392(a,2),5490(a,1))]. given #4911 (H,wt=16): 5498 K(x,T(y,z * y)) != u | K(x,T(y,z)) = u. [para(5334(a,2),5493(a,1))]. given #4912 (H,wt=16): 5499 K(x,T(y,y * z)) != u | K(x,T(y,z)) = u. [para(3507(a,1),5498(a,1,2))]. given #4913 (H,wt=18): 5404 x * K(y,T(z,u)) != w | w * K(z,T(y,u)) = x. [para(5380(a,1),3929(a,1,2))]. given #4914 (H,wt=18): 5405 x / K(y,T(z,u)) != w | x * K(z,T(y,u)) = w. [para(5380(a,1),3930(a,1,2))]. given #4915 (H,wt=18): 5468 K(T(x,y) \ 1,z) != u | K((x * y) \ y,z) = u. [para(35(a,2),5466(a,1,1,1))]. given #4916 (H,wt=18): 5497 K(x,T(y,z \ 1)) != u | K(x,T(y,z \ y)) = u. [para(3749(a,1),5492(a,1,2))]. given #4917 (H,wt=18): 5500 x * K(T(y,z),u) != w | x * K(y,T(u,z)) = w. [para(3890(a,1),5405(a,1))]. given #4918 (H,wt=18): 5501 x * T(K(y,z),u) != w | x * K(y,T(z,u)) = w. [para(5379(a,1),5500(a,1,2))]. given #4919 (H,wt=19): 5179 (K(x,y) * K(z,y * x)) \ (x * y) = T(y * x,z). [hyper(75,a,4373,a(flip),b,5146,a)]. given #4920 (H,wt=19): 5212 (x \ y) * K((x \ 1) \ (x \ y),z) = x \ T(y,z). [hyper(189,a,771,a(flip),b,5160,a(flip))]. given #4921 (H,wt=19): 5235 K(L(x \ y,z,u) \ 1,w) = L(K(y \ x,w),z,u). [para(5209(a,1),4824(a,1,1)),flip(a)]. given #4922 (H,wt=19): 5237 T(((x * y) \ x) \ 1,z) = ((x * y) \ x) \ K(y,z). [hyper(75,a,5224,a(flip),b,4359,a),flip(a)]. given #4923 (H,wt=19): 5244 K(x,(y \ 1) \ (y \ z)) = (y \ T(z,x)) \ (y \ z). [para(771(a,1),5184(a,1,1)),flip(a)]. given #4924 (H,wt=19): 5276 K(x,y \ z) * (z \ y) = (z \ y) * K(x,y \ z). [para(5266(a,1),113(a,1,2))]. given #4925 (H,wt=19): 5290 1 / (x \ K(y \ (z \ y),x)) = T(x,(z * y) \ y). [para(5257(a,1),4466(a,2,2,2)),flip(a)]. given #4926 (H,wt=18): 5511 T(x,(y * z) \ z) != u | T(x,z \ (y \ z)) = u. [para(5290(a,1),4467(a,1))]. given #4927 (H,wt=18): 5512 T(x,T(y \ 1,z)) != u | T(x,z \ (y \ z)) = u. [para(4244(a,2),5511(a,1,2))]. given #4928 (H,wt=19): 5296 (x * K(y,z)) * T(z,u) = x * (K(y,z) * T(z,u)). [para(5294(a,1),350(a,1,2,1))]. given #4929 (H,wt=10): 5513 R(x,K(y,z),T(z,u)) = x. [hyper(376,a,5296,a)]. given #4930 (H,wt=19): 5314 x * (K(y,x) * K(y * x,y)) = T(y * x,y) / y. [hyper(5196,a,4496,a),flip(a)]. given #4931 (H,wt=19): 5352 T(x,y) * K(z,T(x,T(z,u))) = K(z,x) * T(x,y). [para(5341(a,2),2759(a,1,2))]. given #4932 (H,wt=19): 5354 T(x * K(y,x),T(y,z)) = T(x,T(y,z)) * K(y,x). [para(5341(a,1),4653(a,1,2)),flip(a)]. given #4933 (H,wt=19): 5359 (x * y) * K(z,T(y,u)) = x * (y * K(z,T(y,u))). [para(5358(a,1),110(a,1,1)),flip(a)]. given #4934 (H,wt=14): 5515 L(K(x,T(y,z)),y,u) = K(x,T(y,z)). [hyper(346,a,5359,a)]. given #4935 (H,wt=19): 5368 K(x,x \ y) * K(z,y) = K(z,y) * K(x,x \ y). [para(4320(a,1),5345(a,1,2,2))]. given #4936 (H,wt=19): 5408 (T(x,T(y,z)) * y) / K(x,y) = y * T(x,T(y,z)). [para(5385(a,1),127(a,1,2))]. given #4937 (H,wt=19): 5417 K(x,y / (z * (x / z))) = K(x,(z * (x / z)) \ y). [para(3780(a,1),5395(a,1,1))]. given #4938 (H,wt=19): 5427 T(x * K(y,x),T(z,T(x,u))) = T(x * K(y,x),z). [para(4374(a,1),5426(a,1,2,2,1))]. given #4939 (H,wt=19): 5440 T(x,x \ 1) * K(y,x) = (x * (K(y,x) / x)) * x. [para(2943(a,1),5134(a,1,1)),flip(a)]. given #4940 (H,wt=14): 5516 R(x,x \ K(y,x),x) = T(x,x \ 1). [hyper(21,a,3768,a,b,5440,a),flip(a)]. given #4941 (H,wt=14): 5517 R(x,T(x,y) \ 1,x) = T(x,x \ 1). [para(4364(a,2),5516(a,1,2))]. given #4942 (H,wt=18): 5518 R(T(x,y),T(x,z) \ 1,x) = T(T(x,x \ 1),y). [para(5517(a,1),45(a,2,1))]. given #4943 (H,wt=17): 5519 T(T(x,x \ 1),y) \ x = (T(x,y) \ 1) * x. [para(5518(a,1),313(a,1,1))]. given #4944 (H,wt=17): 5520 T((x \ 1) \ 1,y) \ x = (T(x,y) \ 1) * x. [para(114(a,1),5519(a,1,1,1))]. given #4945 (H,wt=19): 5441 T(x,y) / (z \ x) = z * K(((z \ x) \ 1) \ z,y). [hyper(4189,a,5211,a)]. given #4946 (H,wt=19): 5445 T(x * K((y \ 1) \ x,z),y) = y \ T(x * y,z). [para(5211(a,1),4161(a,1,1))]. given #4947 (H,wt=19): 5451 (x * ((y / z) / x)) * z = y * K(x,(x * z) \ y). [hyper(189,a,1786,a(flip),b,5269,a),flip(a)]. given #4948 (H,wt=19): 5452 ((x \ y) * z) * K(x,T(x \ y,z)) = (y / x) * z. [hyper(189,a,4303,a(flip),b,5281,a)]. given #4949 (H,wt=19): 5514 x / (K(y,z) * T(z,u)) = (x / T(z,u)) * K(z,y). [hyper(189,a,3924,a(flip),b,5513,a(flip)),flip(a)]. given #4950 (H,wt=19): 5522 x / (T(y,z) * K(u,y)) = (x / T(y,z)) * K(y,u). [para(2759(a,2),5514(a,1,2))]. given #4951 (H,wt=20): 5168 K(x,y) \ (z * T(x,y)) != u | T(z * x,K(x,y)) = u. [para(5139(a,1),238(a,1,2))]. given #4952 (H,wt=15): 5523 T(x * y,K(y,z)) = y * T(x,T(y,z)). [hyper(5168,a,4569,a)]. given #4953 (H,wt=20): 5169 x * T(y,z) != u * w | u \ ((x * y) * K(y,z)) = w. [para(5139(a,1),426(a,1))]. given #4954 (H,wt=20): 5228 K(L(x \ y,x,z) \ 1,u) = K((z * y) \ (z * x),u). [para(104(a,2),5209(a,1,1,1))]. given #4955 (H,wt=18): 5526 L(K(x \ y,z),y,u) = K((u * x) \ (u * y),z). [hyper(189,a,5235,a(flip),b,5228,a(flip)),flip(a)]. given #4956 (H,wt=17): 5531 L(K(x \ y,z),y,u) = K(L(x \ y,x,u),z). [para(104(a,2),5526(a,2,1))]. given #4957 (H,wt=14): 5533 K(L(x \ y,x,z),y) = K(x \ y,y). [hyper(5327,a,5531,a),flip(a)]. given #4958 (H,wt=15): 5535 K((x \ y) \ z,z) = K(y \ (x * z),z). [para(359(a,1),5533(a,1,1)),flip(a)]. given #4959 (H,wt=16): 5534 K(L(x \ y,x,K(y,z)),u) = K(x \ y,u). [hyper(3714,a,5531,a)]. given #4960 (H,wt=16): 5536 K(L(x \ y,T(x,z),z),y) = K(x \ y,y). [para(4933(a,1),5533(a,1,1))]. given #4961 (H,wt=18): 5527 L(K((x \ y) \ z,u),z,x) = K(y \ (x * z),u). [para(17(a,1),5526(a,2,1,1))]. given #4962 (H,wt=18): 5529 K((x * (y / z)) \ (x * y),u) = L(K(z,u),y,x). [para(69(a,1),5526(a,1,1,1)),flip(a)]. given #4963 (H,wt=15): 5540 K(L(x,y / x,z),u) = L(K(x,u),y,z). [para(105(a,2),5529(a,1,1))]. given #4964 (H,wt=15): 5541 L(K(x,y),z * x,u) = K(L(x,z,u),y). [para(18(a,1),5540(a,1,1,2)),flip(a)]. given #4965 (H,wt=14): 5544 K(L(x,y,z),y * x) = K(x,y * x). [hyper(5327,a,5541,a),flip(a)]. given #4966 (H,wt=14): 5546 K(L(x,y,z),y * x) = K(x,x * y). [hyper(189,a,4576,a(flip),b,5544,a)]. given #4967 (H,wt=17): 5547 K(L(x,y,z),y * x) != u | K(x,x * y) = u. [para(5544(a,2),4577(a,1))]. given #4968 (H,wt=19): 5538 K((x \ y) \ z,T(z,u)) = K(y \ (x * z),T(z,u)). [hyper(189,a,5515,a(flip),b,5527,a(flip)),flip(a)]. given #4969 (H,wt=19): 5542 K(L(x,y / T(x,y),z),u) = L(K(x,u),T(y,x),z). [para(3523(a,1),5540(a,1,1,2))]. given #4970 (H,wt=20): 5234 K(((x * y) \ x) \ 1,z) != u * w | u \ K(y,z) = w. [para(5209(a,2),4682(a,1))]. given #4971 (H,wt=20): 5312 ((x * y) / x) * K(y,z) != u | K(x,y) * T(y,z) = u. [para(4468(a,2),5189(a,1,1))]. given #4972 (H,wt=20): 5319 K(x,(K(y,z) * u) \ 1) != w | K(x,u \ K(z,y)) = w. [para(3889(a,1),5259(a,1,2,1))]. given #4973 (H,wt=20): 5322 L(K(x,T(y,z)),T(y,z),u) = K(x,((y * z) \ z) \ 1). [para(113(a,1),5307(a,2,2,1,1))]. given #4974 (H,wt=20): 5330 K(x,R(T(y,y \ 1),z,u)) != w | K(x,R(y,z,u)) = w. [para(3107(a,2),5326(a,1,2))]. given #4975 (H,wt=20): 5428 x * K(y,z \ x) != u | K(y,(z / x) \ 1) * x = u. [para(4247(a,1),5346(a,1,2,2))]. given #4976 (H,wt=20): 5438 K(T(x \ 1,x * y),z) != u | K(T(x \ 1,y),z) = u. [para(3612(a,1),5434(a,1,1))]. given #4977 (H,wt=20): 5444 (x \ T(x * y,z)) \ y != u | K(z,(x \ 1) \ y) = u. [para(5211(a,2),3922(a,1,1))]. given #4978 (H,wt=20): 5469 K((K(x,y) * z) \ 1,u) != w | K(z \ K(y,x),u) = w. [para(3889(a,1),5466(a,1,1,1))]. given #4979 (H,wt=20): 5474 T(x,(y * (z * u)) \ (y * z)) = T(x,L(u,z,y) \ 1). [para(31(a,2),5471(a,1,2,1)),flip(a)]. given #4980 (H,wt=20): 5489 K(R(T(x,y),z,u),w) != v5 | K(R(x,z,u),T(w,y)) = v5. [para(45(a,2),5488(a,1,1))]. given #4981 (H,wt=20): 5505 T(L(x \ 1,x,y) \ 1,z) = ((y * x) \ y) \ K(x,z). [para(140(a,2),5237(a,1,1,1))]. given #4982 (H,wt=20): 5528 L(K(x \ (y \ z),u),y \ z,y) = K((y * x) \ z,u). [para(17(a,1),5526(a,2,1,2))]. given #4983 (H,wt=15): 5552 K((x * y) \ 1,x) = K(y \ (x \ 1),x). [hyper(189,a,3142,a(flip),b,5528,a(flip))]. given #4984 (H,wt=17): 5553 K(x / ((y * z) * x),y) = K(z \ (y \ 1),y). [hyper(189,a,4765,a,b,5552,a(flip)),flip(a)]. given #4985 (H,wt=17): 5554 ((x \ (1 / y)) * x) * y = K(y \ (x \ 1),x). [hyper(189,a,4527,a,b,5552,a(flip)),flip(a)]. given #4986 (H,wt=20): 5532 L(K(x * y,x),y,z) = K((z * (x \ 1)) \ (z * y),x). [para(5442(a,1),5526(a,1,1))]. given #4987 (H,wt=20): 5543 L(K(x,y),z,u) \ 1 != w | K(y,L(x,z / x,u)) = w. [para(5540(a,1),3872(a,1,1))]. given #4988 (H,wt=20): 5549 R(T(K(x,y),y * z),y,z) = K(x,((y * z) \ z) \ 1). [hyper(189,a,4996,a,b,5322,a(flip)),flip(a)]. given #4989 (H,wt=21): 5162 (K(x,x \ 1) * y) * K(y,z) = T(K(x,x \ 1) * y,z). [hyper(189,a,4147,a,b,5139,a)]. given #4990 (H,wt=13): 5556 K(K(x,x \ 1) * y,z) = K(y,z). [hyper(20,a,4396,a(flip),b,5162,a),flip(a)]. given #4991 (H,wt=13): 5560 K(x * K(y \ 1,y),z) = K(x,z). [para(2480(a,1),5556(a,1,1)),flip(a)]. given #4992 (H,wt=15): 5561 K(x * ((y \ 1) \ 1),z) = K(x * y,z). [para(2501(a,1),5556(a,1,1))]. given #4993 (H,wt=15): 5563 K(x \ T(y,y \ 1),z) = K(x \ y,z). [para(3454(a,1),5556(a,1,1))]. given #4994 (H,wt=15): 5564 K(x \ (1 / y),z) = K(x \ (y \ 1),z). [para(4107(a,1),5556(a,1,1))]. given #4995 (H,wt=15): 5565 K(x * (((x \ y) \ 1) \ 1),z) = K(y,z). [para(1998(a,1),5560(a,1,1))]. given #4996 (H,wt=17): 5566 K((K(x,x \ 1) * y) \ z,u) = K(y \ z,u). [para(4120(a,2),5560(a,1,1))]. given #4997 (H,wt=17): 5569 K((T(x,x \ 1) \ y) \ 1,z) = K(y \ x,z). [hyper(189,a,5209,a,b,5563,a(flip)),flip(a)]. given #4998 (H,wt=19): 5567 K(x \ (y * ((z \ 1) \ 1)),u) = K(x \ (y * z),u). [para(4105(a,1),5560(a,1,1)),flip(a)]. given #4999 (H,wt=15): 5574 K(x \ ((y \ 1) * y),z) = K(x \ 1,z). [para(17(a,1),5567(a,1,1,2)),flip(a)]. given #5000 (H,wt=19): 5571 K((x * ((y \ 1) \ 1)) \ z,u) = K((x * y) \ z,u). [para(2501(a,1),5566(a,1,1,1))]. given #5001 (H,wt=20): 5575 L(K(x \ y,z),y,y \ 1) = K(((y \ 1) * x) \ 1,z). [hyper(189,a,5526,a,b,5574,a(flip)),flip(a)]. given #5002 (H,wt=21): 5236 (1 / x) * K(y \ (1 / x),z) = K((y * x) \ 1,z) / x. [para(5209(a,1),5110(a,1,2))]. given #5003 (H,wt=21): 5238 (1 / ((x * y) \ x)) * K(y,z) = T(1 / ((x * y) \ x),z). [para(5224(a,1),4442(a,1,2))]. given #5004 (H,wt=21): 5264 K(x,(T(y,z) * (y \ u)) \ 1) = K(x,(T(y,z) * u) \ y). [para(975(a,1),5258(a,1,2,1))]. given #5005 (H,wt=21): 5272 (((x \ y) \ 1) \ x) * ((x \ y) \ 1) = x * K(y,y \ x). [para(5258(a,1),4859(a,2,2))]. given #5006 (H,wt=19): 5577 (((x \ y) \ 1) \ x) * ((x \ y) \ 1) = y * (x / y). [hyper(189,a,3903,a(flip),b,5272,a)]. given #5007 (H,wt=15): 5578 T(x,x \ y) / (y \ x) = x * (y / x). [hyper(189,a,4954,a,b,5577,a(flip)),flip(a)]. given #5008 (H,wt=15): 5579 (x * (y / x)) * (y \ x) = T(x,x \ y). [para(5578(a,1),19(a,1,1))]. given #5009 (H,wt=21): 5351 R(K(x,T(y,z)),u,w) \ 1 = T(R(K(x,y),u,w) \ 1,z). [para(5334(a,2),4983(a,1,1,1))]. given #5010 (H,wt=21): 5377 x * T(y * K(x,y),T(x,z)) = T(x,y) * T(y,T(x,z)). [para(5373(a,1),4659(a,1,1)),flip(a)]. given #5011 (H,wt=21): 5459 T(x * K(y,x),T(T(z,x),u)) = T(x * K(y,x),T(z,u)). [para(41(a,1),5376(a,1,2))]. given #5012 (H,wt=21): 5461 K(x,K(y,z)) * (T(y,u) * x) = T(y,u) * T(x,K(y,z)). [para(2662(a,1),5460(a,2,2,2))]. given #5013 (H,wt=21): 5475 (1 / (x \ y)) * T(z,y \ x) = z * (1 \ (1 / (x \ y))). [para(5471(a,1),2690(a,1,2))]. given #5014 (H,wt=21): 5545 L(K(x,y),z * K(u,x),w) = K(L(x,z / T(x,u),w),y). [para(5176(a,1),5541(a,1,2))]. given #5015 (H,wt=21): 5568 K(x * R(1 / y,z,u),w) = K(x * R(y \ 1,z,u),w). [para(3104(a,1),5561(a,1,1,2)),flip(a)]. given #5016 (H,wt=21): 5572 K((x * (K(y,y \ 1) * z)) \ u,w) = K((x * z) \ u,w). [para(4117(a,1),5566(a,1,1,1))]. given #5017 (H,wt=21): 5576 (1 / x) * K(y \ (x \ 1),z) = K((y * x) \ 1,z) / x. [para(5564(a,1),5236(a,1,2))]. given #5018 (H,wt=15): 5585 K((x * y) \ 1,y) = K(x \ (y \ 1),y). [hyper(20,a,3143,a,b,5576,a),flip(a)]. given #5019 (H,wt=21): 5584 K((x * ((T(y,x) \ 1) * y)) \ z,u) = K(T(x,y) \ z,u). [para(4790(a,1),5572(a,1,1,1)),flip(a)]. given #5020 (H,wt=21): 5586 L(K(x \ (y \ 1),y),z,u) = K(L(x * y,z,u) \ 1,y). [para(5585(a,1),4824(a,1,1))]. given #5021 (H,wt=22): 5143 L(x \ 1,x,y * K(x,z)) = (y * T(x,z)) \ (y * K(x,z)). [para(5132(a,1),140(a,2,1))]. given #5022 (H,wt=22): 5218 x \ (y * T(y \ x,z)) != u * w | u \ K(y \ x,z) = w. [para(5160(a,2),253(a,1,2))]. given #5023 (H,wt=22): 5246 K(x,y) * z != (u * K(x,y)) * y | T(u * y,K(x,y)) = z. [para(5190(a,2),148(a,2))]. given #5024 (H,wt=22): 5293 (x * K(y,z)) * z != u * w | (x * (z * K(y,z))) / w = u. [para(5284(a,1),298(a,1,2))]. given #5025 (H,wt=22): 5297 (x * K(y,z)) * T(z,u) != w | x * (K(y,z) * T(z,u)) = w. [para(5294(a,1),641(a,1,2,1))]. given #5026 (H,wt=22): 5313 K(x,x \ y) * K(z,y) != u | (x * (y / x)) / T(y,z) = u. [para(4298(a,1),5194(a,1,1))]. given #5027 (H,wt=19): 5590 (x * (y / x)) / T(y,z) = K(z,y) * K(x,x \ y). [hyper(5313,a,5368,a)]. given #5028 (H,wt=22): 5315 (x * y) * K(y,y \ 1) != z | (x * K(y,y \ 1)) * y = z. [para(2255(a,2),5202(a,1))]. given #5029 (H,wt=22): 5317 K(x \ y,T(x / y,T(y,x))) != z | K(x \ y,y \ x) = z. [para(2007(a,2),5259(a,1))]. given #5030 (H,wt=22): 5356 K(x,T(y * z,y * (z * u))) = K(x,T(y * z,L(u,z,y))). [para(31(a,2),5335(a,1,2,2)),flip(a)]. given #5031 (H,wt=20): 5591 K(x,T(x * y,L(z,y,x))) = K(x,T(x * y,y * z)). [hyper(189,a,5421,a(flip),b,5356,a(flip))]. given #5032 (H,wt=22): 5530 L(K(x \ T(y,z),u),T(y,z),z) = K((z * x) \ (y * z),u). [para(113(a,1),5526(a,2,1,2))]. given #5033 (H,wt=22): 5548 K(x,(T(y,z) * (y \ u)) \ 1) != w | K(x,u \ K(z,y)) = w. [para(4377(a,2),5319(a,1,2,1))]. given #5034 (H,wt=17): 5592 K(x,(T(y,z) * u) \ y) = K(x,u \ K(z,y)). [hyper(5548,a,5264,a),flip(a)]. given #5035 (H,wt=17): 5593 K(x,(T(y,z) \ u) \ K(z,y)) = K(x,u \ y). [para(17(a,1),5592(a,1,2,1)),flip(a)]. given #5036 (H,wt=22): 5588 L(x \ 1,x,y * K(x,z)) != u | L(x \ 1,T(x,z),y) = u. [para(5143(a,2),4503(a,1))]. given #5037 (H,wt=23): 5172 T(x,x \ T(y,z)) * K(y,z) = (x / y) * T(x * (y / x),z). [hyper(189,a,4203,a(flip),b,5140,a(flip))]. given #5038 (H,wt=23): 5200 x \ T(x * K(y \ 1,y),z) = T(K(y \ 1,y) * K(x,z),x). [hyper(75,a,4987,a,b,5133,a)]. given #5039 (H,wt=21): 5594 x \ T(x * K(y \ 1,y),y) = T((T(y,x) \ 1) * y,x). [para(4635(a,1),5200(a,2,1))]. given #5040 (H,wt=19): 5595 x \ T(x * K(y \ 1,y),y) = (T(y,x) \ 1) * y. [hyper(189,a,4990,a(flip),b,5594,a)]. given #5041 (H,wt=23): 5245 ((x * T(x \ y,z)) * u) \ (y * u) = K(z,(x * u) \ (y * u)). [para(1100(a,1),5184(a,1,1))]. given #5042 (H,wt=23): 5286 (x * (y * K(z,y))) / (y * K(u,y)) = (x * K(z,y)) * K(y,u). [hyper(76,a,5252,a(flip),b,5206,a)]. given #5043 (H,wt=23): 5411 K(x,L(L(x,y,z),u,w) / v5) = K(x,v5 \ L(L(x,y,z),u,w)). [para(750(a,1),5383(a,1,1))]. given #5044 (H,wt=23): 5510 T(x \ y,z) * ((y \ x) * K(z,x \ y)) = (x \ y) * (y \ x). [para(5276(a,1),4412(a,1,2))]. given #5045 (H,wt=23): 5521 (K(x,x \ (y / z)) * (y / z)) * z = y * K(x,(x * z) \ y). [para(4314(a,2),5451(a,1,1))]. given #5046 (H,wt=23): 5539 (x * y) * K(z \ (x * y),u) = x * (y * K((x \ z) \ y,u)). [para(5527(a,1),102(a,1,2))]. given #5047 (H,wt=23): 5573 K((((1 / x) \ y) \ z) \ u,w) = K((((x \ 1) \ y) \ z) \ u,w). [para(4133(a,1),5566(a,1,1,1))]. given #5048 (H,wt=23): 5583 (1 / ((x * y) \ x)) * T(z,y) = z * (1 \ (1 / ((x * y) \ x))). [para(16(a,1),5475(a,1,2,2))]. given #5049 (H,wt=21): 5599 (1 / ((x * y) \ x)) * T(z,y) = z * (1 / ((x * y) \ x)). [para(58(a,1),5583(a,2,2))]. given #5050 (H,wt=17): 5600 T(1 / ((x * y) \ x),y) = 1 / ((x * y) \ x). [hyper(260,a,5599,a),flip(a)]. given #5051 (H,wt=21): 5601 T(T(1 / ((x * y) \ x),z),y) = T(1 / ((x * y) \ x),z). [hyper(20,a,173,a(flip),b,5599,a)]. given #5052 (H,wt=24): 5123 x / L((y \ ((z \ 1) \ (z \ x))) * y,z \ 1,z) = K(y,y \ x). [para(5122(a,2),4294(a,1,2))]. given #5053 (H,wt=24): 5458 T(T(T(x,y) / (T(x,y) / y),x),z) = L(T(y,z),y \ T(x,y),y). [para(5375(a,1),3644(a,1,1))]. given #5054 (H,wt=22): 5602 T(T(x * K(x \ y,x),y),z) = L(T(x,z),x \ T(y,x),x). [para(4337(a,1),5458(a,1,1,1))]. given #5055 (H,wt=19): 5603 L(T(x,y),x \ T(z,x),x) = T(L(x,x \ z,x),y). [para(4336(a,1),5602(a,1,1)),flip(a)]. given #5056 (H,wt=19): 5604 L(T(x,y),x \ T(z,x),x) = L(T(x,y),x \ z,x). [hyper(189,a,43,a,b,5603,a)]. given #5057 (H,wt=24): 5495 (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) != u | K(z,T(x,y)) = u. [para(527(a,2),5491(a,1))]. given #5058 (H,wt=24): 5587 L(K(x \ (y \ 1),y),z,u) != w | K(L(x * y,z,u) \ 1,y) = w. [para(5585(a,1),4894(a,1,1))]. given #5059 (H,wt=25): 5185 (x * T(y * K(z,y),u)) / K(z,T(y * K(z,y),u)) = x * T(y,u). [para(4420(a,1),5157(a,2,2))]. given #5060 (H,wt=25): 5551 T(L(x \ 1,x,y) \ 1,x * L(x \ 1,z,u)) = ((y * x) \ y) \ 1. [para(1342(a,1),5505(a,2,2))]. given #5061 (H,wt=25): 5582 T(x,T(y,T(x,z))) * T(y,T(x,u)) = x * T(y * K(x,y),T(x,u)). [para(5373(a,2),5377(a,2,1)),flip(a)]. given #5062 (H,wt=25): 5596 (((x / y) * T(y,z)) * u) \ (x * u) = K(z,((x / y) * u) \ (x * u)). [para(69(a,1),5245(a,1,1,1,2,1))]. given #5063 (H,wt=23): 5606 K(x,((y / z) * u) \ (y * u)) = ((y * K(z,x)) * u) \ (y * u). [para(5140(a,1),5596(a,1,1,1)),flip(a)]. given #5064 (H,wt=23): 5607 ((x * K(y,z)) * u) * K(z,((x / y) * u) \ (x * u)) = x * u. [para(5606(a,2),17(a,1,2))]. given #5065 (H,wt=23): 5608 K(((x / y) * z) \ (x * z),u) = (x * z) \ ((x * K(y,u)) * z). [para(5607(a,1),3918(a,1,1)),flip(a)]. given #5066 (H,wt=25): 5597 (K(x,x \ (y / z)) * (y / z)) * z = K(x,((x * z) / y) \ 1) * y. [hyper(189,a,5270,a,b,5521,a)]. given #5067 (H,wt=22): 5610 R(K(x,x \ (y / z)),y / z,z) = K(x,((x * z) / y) \ 1). [hyper(590,a,5597,a)]. given #5068 (H,wt=25): 5605 L(R(T(x,y),z,u),x \ T(w,x),x) = R(L(T(x,y),x \ w,x),z,u). [para(5604(a,1),47(a,1,1)),flip(a)]. given #5069 (H,wt=25): 5611 L(R(T(x,y),z,u),x \ T(w,x),x) = L(R(T(x,y),z,u),x \ w,x). [hyper(189,a,47,a(flip),b,5605,a)]. given #5070 (H,wt=26): 5142 (x * (y * T(z,u))) \ ((x * (y * K(z,u))) * z) = a(x,y * K(z,u),z). [para(5132(a,1),27(a,2,1,2)),flip(a)]. given #5071 (H,wt=26): 5149 K(x,y * K(x,z)) * K(y * T(x,z),x) = x \ R(x,y * K(x,z),x). [para(5132(a,1),4696(a,1,2,1))]. given #5072 (H,wt=26): 5219 R(T(K(x \ y,y),y * z),y,z) = (y * z) \ ((x * T(x \ y,y)) * z). [para(5160(a,2),2770(a,1,2,1)),flip(a)]. given #5073 (H,wt=24): 5612 R(T(K(x \ y,y),y * z),y,z) = K(((y * z) \ (x * z)) \ 1,y). [hyper(189,a,4752,a(flip),b,5219,a)]. given #5074 (H,wt=23): 5613 K(((x * y) \ (z * y)) \ 1,x) = K(z \ x,((x * y) \ y) \ 1). [hyper(189,a,5549,a(flip),b,5612,a(flip))]. given #5075 (H,wt=21): 5614 K(x \ y,((y * z) \ z) \ 1) = K((x * z) \ (y * z),y). [hyper(5466,a,5613,a),flip(a)]. given #5076 (H,wt=19): 5615 K((x * y) \ (z * y),z) = K(x \ z,y \ (z * y)). [hyper(5259,a,5614,a),flip(a)]. given #5077 (H,wt=17): 5616 K((x * y) \ (z * y),z) = K(x \ z,T(z,y)). [para(35(a,2),5615(a,2,2))]. given #5078 (H,wt=17): 5617 K((x / y) \ z,T(z,y)) = K(x \ (z * y),z). [para(19(a,1),5616(a,1,1,1)),flip(a)]. given #5079 (H,wt=26): 5424 K(T(x,(y \ z) \ u),z \ (y * u)) = K(x,L((y \ z) \ u,y \ z,y)). [para(359(a,1),5397(a,1,2))]. given #5080 (H,wt=21): 5618 K(T(x,(y \ z) \ u),z \ (y * u)) = K(x,z \ (y * u)). [para(359(a,1),5424(a,2,2))]. given #5081 (H,wt=26): 5450 T(x / (y / z),K(z,z \ y)) != u | K(z \ y,z) * (x / (z \ y)) = u. [para(5254(a,1),4630(a,1,1))]. given #5082 (H,wt=26): 5598 (x * y) * z != x * (y * K((x \ u) \ y,w)) | K(u \ (x * y),w) = z. [para(5539(a,1),22(a,1)),flip(a)]. given #5083 (H,wt=26): 5609 (x * y) \ ((x * K(z,u)) * y) != w | K(((x / z) * y) \ (x * y),u) = w. [para(5607(a,1),3922(a,1,1))]. given #5084 (H,wt=27): 5082 L(x * K(y \ z,(y \ z) \ 1),u,w) = L(x,u,w) * K(y \ z,z \ y). [para(1992(a,1),5075(a,2,2))]. given #5085 (H,wt=25): 5619 L(x * K(y \ z,z \ y),u,w) = L(x,u,w) * K(y \ z,z \ y). [para(1992(a,1),5082(a,1,1,2))]. given #5086 (H,wt=18): 5620 K(x \ y,L(y \ x,z,u)) = K(x \ y,y \ x). [hyper(4740,a,5619,a)]. given #5087 (H,wt=25): 5621 K(x \ L(x,y,z),L(x,y,z) \ x) = K(x \ L(x,y,z),a(z,y,x)). [para(1704(a,2),5620(a,1,2)),flip(a)]. given #5088 (H,wt=27): 5100 K(x \ 1,L(x,y,z)) * (x / L(x,u,w)) != v5 | (L(x,u,w) \ 1) * x = v5. [para(5068(a,2),205(a,1))]. given #5089 (H,wt=19): 5622 x / L((x \ 1) \ 1,y,z) = (L(x,y,z) \ 1) * x. [hyper(5100,a,5099,a),flip(a)]. given #5090 (H,wt=19): 5623 ((L(x,y,z) \ 1) * x) \ x = L((x \ 1) \ 1,y,z). [para(5622(a,1),69(a,1,1))]. given #5091 (H,wt=27): 5109 (x * y) * K(((x * y) \ (z * y)) \ 1,u) = (K((z / x) \ 1,u) * x) * y. [hyper(189,a,4756,a(flip),b,4940,a(flip)),flip(a)]. given #5092 (H,wt=27): 5443 T(x * L(x \ (x * y),z,u),x) = x * L(y * K((x \ 1) \ y,x),z,u). [para(5211(a,1),1352(a,2,2,1))]. given #5093 (H,wt=23): 5625 x * L(y * K((x \ 1) \ y,x),z,u) = T(x * L(y,z,u),x). [para(16(a,1),5443(a,1,1,2,1)),flip(a)]. given #5094 (H,wt=21): 5626 x * L(y * K(x * y,x),z,u) = T(x * L(y,z,u),x). [para(5442(a,1),5625(a,1,2,1,2))]. given #5095 (H,wt=21): 5627 x * L(y * K(y * x,x),z,u) = T(x * L(y,z,u),x). [para(4617(a,2),5626(a,1,2,1,2))]. given #5096 (H,wt=24): 5628 L(x,y,z) * K(u * L(x,y,z),u) = L(x * K(x * u,u),y,z). [hyper(20,a,5248,a,b,5627,a),flip(a)]. given #5097 (H,wt=27): 5509 K(x,((T(y,x) / z) \ 1) \ ((T(y,x) / z) \ y)) = z \ ((T(y,x) / z) \ y). [para(69(a,1),5244(a,2,1))]. given #5098 (H,wt=27): 5570 T(x,y) / ((1 / z) \ x) = (1 / z) * K((((1 / z) \ x) \ 1) \ (z \ 1),y). [para(5564(a,1),5441(a,2,2))]. given #5099 (H,wt=27): 5624 (x * y) * K(((x * y) \ (z * y)) \ 1,u) = (x * K((x \ z) \ 1,u)) * y. [para(4756(a,1),5109(a,2,1))]. given #5100 (H,wt=25): 5631 x * K((x \ (x \ (y * x))) \ 1,z) = T(x * K((x \ y) \ 1,z),x). [hyper(147,a,5624,a(flip),b,4942,a(flip)),flip(a)]. given #5101 (H,wt=23): 5633 T(x * K((x \ y) \ 1,z),x) = x * K((x \ T(y,x)) \ 1,z). [para(35(a,2),5631(a,1,2,1,1,2)),flip(a)]. given #5102 (H,wt=23): 5634 T(x * K((x \ y) \ 1,z),x) = T(y,x) * T(T(y,x) \ x,z). [hyper(189,a,4524,a,b,5633,a)]. given #5103 (H,wt=21): 5635 T(x,y) * T(T(x,y) \ y,z) = T(y * K(x \ y,z),y). [para(5209(a,1),5634(a,1,1,2)),flip(a)]. given #5104 (H,wt=19): 5636 x \ T(x * K(y \ x,z),x) = K(T(y,x) \ x,z). [hyper(75,a,5635,a(flip),b,5160,a(flip))]. given #5105 (H,wt=19): 5637 K(T(x / y,x) \ x,z) = x \ T(x * K(y,z),x). [para(69(a,1),5636(a,1,2,1,2,1)),flip(a)]. given #5106 (H,wt=27): 5630 T(x,y) / ((1 / z) \ x) = (1 / z) * K((((z \ 1) \ x) \ 1) \ (z \ 1),y). [para(5573(a,1),5570(a,2,2))]. given #5107 (H,wt=25): 5638 T(x,y) / ((1 / z) \ x) = K(((((z \ 1) \ x) \ 1) * z) \ 1,y) / z. [hyper(189,a,5576,a(flip),b,5630,a)]. given #5108 (H,wt=28): 4193 ((x \ R(1 / y,y,z)) * x) * (y * z) = (y * z) * ((x \ ((y * z) \ z)) * x). [para(141(a,2),4183(a,1,1,1,2))]. given #5109 (H,wt=28): 4195 (x * ((y / (y * z)) / x)) * (y * z) = (y * z) * (x * (L(z \ 1,z,y) / x)). [para(140(a,2),4185(a,2,2,2,1))]. given #5110 (H,wt=28): 4276 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(4266(a,1),369(a,1,2)),flip(a)]. given #5111 (H,wt=26): 5641 (x * T(K(y,z),u)) * T(K(z,y),u) = R(x,T(K(y,z),u),T(K(z,y),u)). [para(4266(a,1),4276(a,1,3)),flip(a)]. given #5112 (H,wt=28): 4428 T(x * K(y,x),R(x * K(y,x),z,u) * y) = L(x,y,R(x * K(y,x),z,u)). [para(4374(a,1),1287(a,1,1)),flip(a)]. given #5113 (H,wt=24): 5643 T(x * K(y,x),y * R(x,z,u)) = L(x,y,R(x * K(y,x),z,u)). [para(4426(a,1),4428(a,1,2))]. given #5114 (H,wt=23): 5644 T(x * K(y,x),y * R(x,y,x)) = L(x,y,x * K(y * x,x)). [para(4812(a,1),5643(a,2,3))]. given #5115 (H,wt=22): 5645 T(x * K(y,x),T(x * y,x)) = L(x,y,x * K(y * x,x)). [para(3668(a,1),5644(a,1,2))]. given #5116 (H,wt=20): 5646 L(x,y,x * K(y * x,x)) = T(x * K(y,x),x * y). [hyper(189,a,5376,a(flip),b,5645,a(flip))]. given #5117 (H,wt=28): 4862 K(R(x,y,z),T(T(x,u) * u,w)) = R(T(x,T(x * u,w)),y,z) / R(x,y,z). [para(4861(a,1),4448(a,1,1,1)),flip(a)]. given #5118 (H,wt=23): 5647 K(R(x,y,z),T(T(x,u) * u,w)) = K(R(x,y,z),T(x * u,w)). [hyper(189,a,4448,a(flip),b,4862,a)]. given #5119 (H,wt=28): 4899 T((x \ L(y,y \ z,y)) * x,T(z,y) / y) = (x \ ((T(z,y) / y) \ z)) * x. [para(4897(a,2),4166(a,1,1,1,2))]. given #5120 (H,wt=24): 5648 T((x \ L(y,y \ z,y)) * x,T(z,y) / y) = (x \ T(y,z)) * x. [para(3553(a,1),4899(a,2,1,2))]. given #5121 (H,wt=27): 5649 T((x \ L(y,y \ z,y)) * x,T(z,y) / y) != u | T((x \ y) * x,z) = u. [para(5648(a,2),4155(a,1))]. given #5122 (H,wt=28): 5047 T(T(x * K(y * L(x,z,u),x),w),y) = R(T(y \ (y * x),w),y,L(x,z,u)). [para(4491(a,1),763(a,1,1,1))]. given #5123 (H,wt=24): 5650 T(T(x * K(y * L(x,z,u),x),w),y) = R(T(x,w),y,L(x,z,u)). [para(16(a,1),5047(a,2,1,1))]. given #5124 (H,wt=28): 5050 T(T(x * K(y * L(T(x,z),u,w),x),z),y) = R(T(x,z),y,L(T(x,z),u,w)). [para(4653(a,1),5046(a,1,1))]. given #5125 (H,wt=28): 5052 T(T(x * K(y * R(x,z,u),x),w),y) = R(T(y \ (y * x),w),y,R(x,z,u)). [para(4493(a,1),763(a,1,1,1))]. given #5126 (H,wt=24): 5651 T(T(x * K(y * R(x,z,u),x),w),y) = R(T(x,w),y,R(x,z,u)). [para(16(a,1),5052(a,2,1,1))]. given #5127 (H,wt=28): 5104 (x \ (y * T(x,z))) * x != u * T(x,z) | K(z,x) * T(K(z,x) \ y,x) = u. [para(5103(a,1),23(a,1))]. given #5128 (H,wt=28): 5289 K(((x * y) * z) \ (y * z),T(R(x,y,z),u)) = K(R(x,y,z) \ 1,R(x,y,z)). [para(110(a,1),5256(a,1,1,1))]. given #5129 (H,wt=28): 5485 T(x,y) * ((T(x,y) \ T(x,z)) / T(x,z)) != u | K(T(x,z),1 / T(x,y)) = u. [para(1018(a,1),5331(a,1,2,1))]. given #5130 (H,wt=28): 5639 R((x \ (1 / y)) * x,y,z) * (y * z) = (y * z) * ((x \ ((y * z) \ z)) * x). [para(3270(a,2),4193(a,1,1))]. given #5131 (H,wt=25): 5653 (x * y) * ((z \ ((x * y) \ y)) * z) = (((z \ (1 / x)) * z) * x) * y. [hyper(204,a,5639,a),flip(a)]. given #5132 (H,wt=23): 5654 (x * y) * ((z \ ((x * y) \ y)) * z) = K(x \ (z \ 1),z) * y. [para(5554(a,1),5653(a,2,1))]. given #5133 (H,wt=23): 5655 K(x,y / (x / ((z * y) \ 1))) = y / (K(z \ (x \ 1),x) * y). [para(5654(a,1),5043(a,1,2)),flip(a)]. given #5134 (H,wt=22): 5656 K(x,y / (x / ((z * y) \ 1))) != u | K(x,z \ (x \ 1)) = u. [para(5655(a,2),3910(a,1))]. given #5135 (H,wt=15): 5657 K(x,(y * x) \ 1) = K(x,y \ (x \ 1)). [hyper(5656,a,4598,a),flip(a)]. given #5136 (H,wt=28): 5640 (x * y) * (z * (L(y \ 1,y,x) / z)) = (x * y) * (z * (((x * y) \ x) / z)). [hyper(189,a,4185,a(flip),b,4195,a(flip))]. given #5137 (H,wt=28): 5652 K(((x * y) * z) \ (y * z),R(T(x,u),y,z)) = K(R(x,y,z) \ 1,R(x,y,z)). [para(45(a,2),5289(a,1,2))]. given #5138 (H,wt=22): 5659 K(((x * y) * z) \ (y * z),R(T(x,u),y,z)) = K(x \ 1,x). [hyper(189,a,3174,a(flip),b,5652,a)]. given #5139 (H,wt=28): 5658 (x * y) * L(z * ((y \ 1) / z),y,x) = (x * y) * (z * (((x * y) \ x) / z)). [para(5117(a,2),5640(a,1,2))]. given #5140 (H,wt=25): 5662 (x * y) * (z * (((x * y) \ x) / z)) = x * (y * (z * ((y \ 1) / z))). [hyper(207,a,5658,a),flip(a)]. given #5141 (H,wt=29): 4343 ((x * (y / x)) \ T((x * (y / x)) * K(x \ y,x),z)) * (x * (y / x)) = T(y,z). [para(4321(a,1),4160(a,2,1))]. given #5142 (H,wt=19): 5663 ((x * (y / x)) \ T(y,z)) * (x * (y / x)) = T(y,z). [para(3946(a,1),4343(a,1,1,2,1))]. given #5143 (H,wt=19): 5664 T(x,y) / (z * (x / z)) = (z * (x / z)) \ T(x,y). [hyper(88,a,5663,a)]. given #5144 (H,wt=19): 5665 T(x,y) / (T(x,y) / (z * (x / z))) = z * (x / z). [para(5664(a,2),67(a,1,2))]. given #5145 (H,wt=29): 4917 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = (K(x,y \ 1) * z) * u. [para(4650(a,1),2145(a,2,1))]. given #5146 (H,wt=22): 5666 K(x,R(y,z,u) \ 1) * (z * u) = (K(x,y \ 1) * z) * u. [para(4643(a,1),4917(a,1,1))]. given #5147 (H,wt=17): 5667 R(K(x,y \ 1),z,u) = K(x,R(y,z,u) \ 1). [hyper(21,a,110,a,b,5666,a),flip(a)]. given #5148 (H,wt=17): 5668 K(x,R(y \ 1,z,u) \ 1) = R(K(x,y),z,u). [para(3081(a,1),5667(a,1,1)),flip(a)]. given #5149 (H,wt=17): 5672 R(K(x,y),z,u) \ w = R(K(y,x),z,u) * w. [para(5668(a,1),4822(a,1,1)),flip(a)]. given #5150 (H,wt=18): 5673 (x * y) / ((K(z,u) * x) * y) = R(K(u,z),x,y). [hyper(460,a,5672,a)]. given #5151 (H,wt=19): 5670 K(x,R(y / z,u,w) \ 1) = R(K(x,z / y),u,w). [para(4773(a,1),5667(a,1,1)),flip(a)]. given #5152 (H,wt=18): 5677 R(K(x,y / z),y,u) = K(x,(y * u) / (z * u)). [hyper(4782,a,5670,a),flip(a)]. given #5153 (H,wt=18): 5679 R(K(x,y / (z / u)),y,u) = K(x,(y * u) / z). [para(19(a,1),5677(a,2,2,2))]. given #5154 (H,wt=18): 5680 K(x,(y * z) / ((u \ y) * z)) = R(K(x,u),y,z). [para(67(a,1),5677(a,1,1,2)),flip(a)]. given #5155 (H,wt=15): 5682 K(x,R(y,y \ z,u)) = R(K(x,y),z,u). [para(108(a,2),5680(a,1,2))]. given #5156 (H,wt=15): 5683 R(K(x,y),y * z,u) = K(x,R(y,z,u)). [para(16(a,1),5682(a,1,2,2)),flip(a)]. given #5157 (H,wt=18): 5681 R(K(x,(y / z) \ x),x,z) = K(x,(x * z) / y). [para(4596(a,1),5679(a,1,1))]. given #5158 (H,wt=18): 5687 K(x,(x * y) / z) != u | K(x,(z / y) \ x) = u. [para(5681(a,1),3747(a,1))]. given #5159 (H,wt=19): 5685 K(R(x,y * z,u) \ 1,y) = K(x \ 1,R(y,z,u)). [hyper(4937,a,5683,a)]. given #5160 (H,wt=19): 5686 R(T(K(x,y),z),y * u,w) = T(K(x,R(y,u,w)),z). [para(5683(a,1),45(a,2,1))]. given #5161 (H,wt=19): 5688 R(T(K(x,y),z),y * u,w) = K(x,T(R(y,u,w),z)). [hyper(189,a,5334,a,b,5686,a)]. given #5162 (H,wt=19): 5689 R(T(K(x,y),z),y * u,w) = K(x,R(T(y,z),u,w)). [para(45(a,2),5688(a,2,2))]. given #5163 (H,wt=19): 5690 R(K(x,T(y,z)),y * u,w) = K(x,R(T(y,z),u,w)). [para(5334(a,2),5689(a,1,1))]. given #5164 (H,wt=19): 5691 K(x,R(T(y,z),y \ u,w)) = R(K(x,T(y,z)),u,w). [para(17(a,1),5690(a,1,2)),flip(a)]. given #5165 (H,wt=20): 5674 (x * y) / (((z \ x) * z) * y) = R(K(z,z \ x),x,y). [para(4291(a,1),5673(a,1,2,1))]. given #5166 (H,wt=20): 5675 (x * y) / ((z * (x / z)) * y) = R(K(z \ x,z),x,y). [para(4314(a,1),5673(a,1,2,1))]. given #5167 (H,wt=20): 5678 R(K(x,(y / z) / u),y / z,z) = K(x,y / (u * z)). [para(19(a,1),5677(a,2,2,1))]. given #5168 (H,wt=21): 5671 R(K(x,y \ (x \ 1)),z,u) = K(x,R(y * x,z,u) \ 1). [para(5657(a,1),5667(a,1,1))]. given #5169 (H,wt=24): 5676 ((x * y) * z) / ((x * T(y,T(u,x))) * z) = R(K(u,y),x * y,z). [para(5460(a,1),5673(a,1,2,1))]. given #5170 (H,wt=24): 5693 R(K(x,x \ (y / z)),y / z,z) = y / (((x \ (y / z)) * x) * z). [hyper(189,a,185,a(flip),b,5674,a(flip))]. given #5171 (H,wt=21): 5694 x / (((y \ (x / z)) * y) * z) = K(y,((y * z) / x) \ 1). [hyper(189,a,5610,a(flip),b,5693,a(flip))]. given #5172 (H,wt=21): 5695 x / (y * ((z \ (y \ x)) * z)) = K(z,((z * y) / x) \ 1). [para(4183(a,1),5694(a,1,2))]. given #5173 (H,wt=19): 5696 x / (y * ((z \ (y \ x)) * z)) = K(z,x / (z * y)). [hyper(189,a,4773,a(flip),b,5695,a)]. given #5174 (H,wt=17): 5697 K(x,y / (x / (z \ 1))) = K(x,y / (x * z)). [hyper(189,a,5043,a(flip),b,5696,a(flip)),flip(a)]. given #5175 (H,wt=17): 5699 K(x,y / (x * (z * y))) = K(x,z \ (x \ 1)). [hyper(5656,a,5697,a),flip(a)]. given #5176 (H,wt=20): 5700 K(x,y / (x * (z * y))) != u | K(x,z \ (x \ 1)) = u. [para(5697(a,1),5656(a,1))]. given #5177 (H,wt=21): 5698 x / (((y \ z) * y) * (z \ x)) = K(y,x / (y * (z \ x))). [para(4191(a,1),5696(a,1,2))]. given #5178 (H,wt=25): 5684 R(K(x,R(y,z,u)),(y * z) * u,w) = K(x,R(R(y,z,u),z * u,w)). [para(133(a,1),5682(a,1,2,2)),flip(a)]. given #5179 (H,wt=25): 5692 R(K(x,y),(y * K(z,y)) * u,w) = K(x,R(T(y * K(z,y),z),u,w)). [para(4374(a,1),5690(a,1,1,2))]. given #5180 (H,wt=25): 5703 R(K(x,y),y * (K(z,y) * u),w) = K(x,R(T(y * K(z,y),z),u,w)). [para(3828(a,1),5692(a,1,2))]. given #5181 (H,wt=23): 5704 K(x,R(T(y * K(z,y),z),u,w)) = K(x,R(y,K(z,y) * u,w)). [hyper(189,a,5683,a(flip),b,5703,a(flip))]. given #5182 (H,wt=17): 5705 K(x,R(y,K(z,y) * u,w)) = K(x,R(y,u,w)). [para(4374(a,1),5704(a,1,2,1)),flip(a)]. given #5183 (H,wt=17): 5706 K(x,R(y,K(y,z) * u,w)) = K(x,R(y,u,w)). [para(3887(a,1),5705(a,1,2,2)),flip(a)]. given #5184 (H,wt=21): 5707 K(R(x,K(x,y) * z,u),w) = (v5 * K(w,R(x,z,u))) \ v5. [para(5706(a,1),3918(a,1,1,2)),flip(a)]. given #5185 (H,wt=20): 5708 K(R(x,K(x,y) * z,u),w) != v5 | K(R(x,z,u),w) = v5. [para(5707(a,2),3922(a,1))]. given #5186 (H,wt=27): 5701 K(x,(y * z) / (x * ((u * y) * z))) != w | K(x,R(u,y,z) \ (x \ 1)) = w. [para(110(a,1),5700(a,1,2,2,2))]. given #5187 (H,wt=29): 5105 T(x,x \ y) \ R(T(x,x \ y),z,u) = x \ (y \ ((R(x,z,u) * (x \ y)) * x)). [hyper(75,a,4419,a(flip),b,4382,a),flip(a)]. given #5188 (H,wt=29): 5580 T((x * K(y,x)) * K(y,x * K(y,x)),T(y,z)) = (T(y,x) * T(x,T(y,z))) / y. [hyper(76,a,5377,a(flip),b,4423,a),flip(a)]. given #5189 (H,wt=29): 5581 T(x,y) * T(y * K(x,y),T(T(x,y),z)) = T(T(x,y),y) * T(y,T(T(x,y),z)). [para(3876(a,1),5377(a,1,2,1,2))]. given #5190 (H,wt=27): 5710 T(T(x,y),y) * T(y,T(T(x,y),z)) = T(x,y) * T(y * K(x,y),T(x,z)). [para(5459(a,1),5581(a,1,2)),flip(a)]. given #5191 (H,wt=25): 5711 T(x,y) * T(y * K(x,y),T(x,z)) = T(T(x,y),y) * T(y,T(x,z)). [para(3531(a,1),5710(a,1,2)),flip(a)]. given #5192 (H,wt=29): 5642 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(5641(a,1),23(a,1))]. given #5193 (H,wt=29): 5661 K(x \ 1,x) * ((y * z) / ((x * y) * z)) = (((y * z) / ((x * y) * z)) \ 1) \ 1. [para(5659(a,1),3024(a,1,1))]. given #5194 (H,wt=30): 4665 T(T(x * y,y) / (T(x * y,y) / x),T(x * y,y)) = L(x,y * K(x * y,y),x). [para(4480(a,1),3643(a,2,2))]. given #5195 (H,wt=30): 4914 (x \ R(y,z,u)) * K(((x \ R(y,z,u)) \ (x \ 1)) \ 1,w) = x \ R(T(y,w),z,u). [para(45(a,2),4525(a,2,2))]. given #5196 (H,wt=26): 5714 (x \ R(x,y,z)) * K((R(x,y,z) \ 1) \ 1,u) = x \ R(T(x,u),y,z). [para(2962(a,1),4914(a,1,2,1,1))]. given #5197 (H,wt=22): 5715 (x \ R(x,y,z)) * K(R(x,y,z),u) = x \ R(T(x,u),y,z). [para(2648(a,1),5714(a,1,2))]. given #5198 (H,wt=30): 5053 (x * y) * (z \ T(z * L(y \ (z \ 1),y,x),u)) = (x * K(y \ 1,u)) * (z \ 1). [para(729(a,1),4533(a,1,2))]. given #5199 (H,wt=30): 5502 L(K((x \ 1) \ (x \ y),z),x \ y,(x \ y) \ 1) / (x \ T(y,z)) = 1 / (x \ y). [para(5212(a,1),2375(a,1,2))]. given #5200 (H,wt=25): 5717 K((((x \ y) \ 1) * (x \ 1)) \ 1,z) / (x \ T(y,z)) = 1 / (x \ y). [para(5575(a,1),5502(a,1,1))]. given #5201 (H,wt=30): 5716 (x * y) * L(z \ T(z * (y \ (z \ 1)),z),y,x) = (x * K(y \ 1,z)) * (z \ 1). [para(1354(a,2),5053(a,1,2))]. given #5202 (H,wt=27): 5718 x * (y * (z \ T(z * (y \ (z \ 1)),z))) = (x * K(y \ 1,z)) * (z \ 1). [hyper(207,a,5716,a)]. given #5203 (H,wt=23): 5719 (x * K(y \ 1,z)) * (z \ 1) = x * (K(y \ 1,z) * (z \ 1)). [para(4840(a,1),5718(a,1,2)),flip(a)]. given #5204 (H,wt=21): 5720 (x * K(y \ 1,z)) * (z \ 1) = x * (T(z,y \ 1) \ 1). [para(4558(a,1),5719(a,2,2))]. given #5205 (H,wt=21): 5721 (x * K(y,z)) * (z \ 1) = x * (T(z,(1 / y) \ 1) \ 1). [para(69(a,1),5720(a,1,1,2,1))]. given #5206 (H,wt=17): 5722 (x * K(y,z)) * (z \ 1) = x * (T(z,y) \ 1). [para(69(a,1),5721(a,2,2,1,2))]. given #5207 (H,wt=17): 5723 x \ T(x * (y \ 1),y) = T(y,y \ x) \ 1. [hyper(75,a,684,a(flip),b,5722,a(flip))]. given #5208 (H,wt=17): 5724 (x * (y \ 1)) \ (x * (T(y,z) \ 1)) = K(z,y). [hyper(75,a,5722,a(flip),b,5033,a(flip))]. given #5209 (H,wt=17): 5728 x \ T(x * (y \ 1),y) = ((y \ x) \ x) \ 1. [hyper(189,a,523,a(flip),b,5723,a)]. given #5210 (H,wt=17): 5731 T((x \ 1) * y,x) = (((x \ y) \ y) \ 1) * y. [para(5728(a,1),4160(a,1,1)),flip(a)]. given #5211 (H,wt=19): 5732 (((x \ 1) * y) \ y) \ y = (((x \ y) \ y) \ 1) * y. [hyper(189,a,3759,a(flip),b,5731,a(flip)),flip(a)]. given #5212 (H,wt=20): 5730 x * K(y,z) != u * (T(z,y) \ 1) | u * (z \ 1) = x. [para(5724(a,1),87(a,1,2)),flip(b)]. given #5213 (H,wt=17): 5734 (x * (T(y,z) \ 1)) * K(y,z) = x * (y \ 1). [hyper(5730,a,3919,a),flip(a)]. given #5214 (H,wt=20): 5735 (x * (y \ 1)) \ (x * (T(y,z) \ 1)) != u | K(z,y) = u. [para(5734(a,1),3922(a,1,1))]. given #5215 (H,wt=15): 5736 L(K(x,y),y \ 1,z) != u | K(x,y) = u. [para(4535(a,1),5735(a,1))]. given #5216 (H,wt=21): 5733 (((L(x,y,z) \ 1) * x) \ x) \ x = (L(x,y,z) \ 1) * x. [para(5098(a,1),5732(a,2,1,1))]. given #5217 (H,wt=19): 5737 L((x \ 1) \ 1,y,z) \ x = (L(x,y,z) \ 1) * x. [para(5623(a,1),5733(a,1,1))]. given #5218 (H,wt=19): 5738 x / ((L(x,y,z) \ 1) * x) = L((x \ 1) \ 1,y,z). [para(5737(a,1),67(a,1,2))]. given #5219 (H,wt=24): 5725 (x * K(y,z)) * (z \ 1) != u * w | u \ (x * (T(z,y) \ 1)) = w. [para(5722(a,2),426(a,1))]. given #5220 (H,wt=31): 4136 T(x,(K(y \ 1,y) * z) * ((u \ 1) \ w)) = T(x,K(y \ 1,y) * (z * ((1 / u) \ w))). [para(3184(a,1),4135(a,1,2)),flip(a)]. given #5221 (H,wt=29): 5740 T(x,(K(y \ 1,y) * z) * ((u \ 1) \ w)) = T(x,z * ((K(y,y \ 1) / u) \ w)). [para(4138(a,1),4136(a,2,2))]. given #5222 (H,wt=31): 4563 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(4383(a,1),348(a,1,1)),flip(a)]. given #5223 (H,wt=25): 5741 L(L(x,y,T(z,u)),T(z,u) * y,K(u,z)) = (z * y) \ (z * (y * x)). [para(4383(a,1),4563(a,2,2))]. given #5224 (H,wt=23): 5742 L(L(x,y,T(z,u)),T(z,u) * y,K(u,z)) != w | L(x,y,z) = w. [para(5741(a,2),355(a,1))]. given #5225 (H,wt=31): 4811 (R(T(x,y),z,u) * (z * u)) / ((x * z) * u) = R(K(R(x,z,u),y),R(x,z,u),z * u). [para(4448(a,1),397(a,1,1)),flip(a)]. given #5226 (H,wt=28): 5744 R(K(R(x,y,z),u),R(x,y,z),y * z) = ((T(x,u) * y) * z) / ((x * y) * z). [para(110(a,1),4811(a,1,1)),flip(a)]. given #5227 (H,wt=20): 5745 ((T(x,y) * z) * u) / ((x * z) * u) = K(R(x,z,u),y). [hyper(3747,a,5744,a),flip(a)]. given #5228 (H,wt=15): 5746 R(K(x,y),x * z,u) = K(R(x,z,u),y). [hyper(4572,a,5745,a)]. given #5229 (H,wt=14): 5748 K(R(x,y,z),x \ 1) = K(x,x \ 1). [hyper(189,a,3236,a(flip),b,5746,a(flip))]. given #5230 (H,wt=15): 5749 K(R(x,x \ y,z),u) = R(K(x,u),y,z). [para(17(a,1),5746(a,1,2)),flip(a)]. given #5231 (H,wt=12): 5752 K(R(x,x \ 1,y),z) = K(x,z). [hyper(189,a,272,a(flip),b,5749,a)]. given #5232 (H,wt=17): 5751 R(x,y,z) * (1 / R(x,y,z)) = K(x,x \ 1). [hyper(189,a,3166,a,b,5748,a(flip)),flip(a)]. given #5233 (H,wt=17): 5755 (1 / x) * (R(x,y,z) \ x) = 1 / R(x,y,z). [hyper(20,a,3240,a,b,5751,a),flip(a)]. given #5234 (H,wt=17): 5756 (1 / x) \ (1 / R(x,y,z)) = R(x,y,z) \ x. [hyper(80,a,5755,a)]. given #5235 (H,wt=15): 5757 (x \ R(x,y,z)) \ 1 = R(x,y,z) \ x. [hyper(189,a,4142,a(flip),b,5756,a(flip)),flip(a)]. given #5236 (H,wt=18): 5753 K((x * y) / ((z \ x) * y),u) = R(K(z,u),x,y). [para(108(a,1),5749(a,1,1))]. given #5237 (H,wt=18): 5758 R(K(x / y,z),x,u) = K((x * u) / (y * u),z). [para(69(a,1),5753(a,1,1,2,1)),flip(a)]. given #5238 (H,wt=18): 5761 R(K(x / (y / z),u),x,z) = K((x * z) / y,u). [para(19(a,1),5758(a,2,1,2))]. given #5239 (H,wt=15): 5763 K((x * y) / z,x) = K(x / (z / y),x). [hyper(189,a,3831,a(flip),b,5761,a(flip))]. given #5240 (H,wt=18): 5764 K((x * y) / z,x) != u | K((z / y) \ x,x) = u. [para(5763(a,2),5470(a,1))]. given #5241 (H,wt=20): 5760 R(K((x / y) / z,u),x / y,y) = K(x / (z * y),u). [para(19(a,1),5758(a,2,1,1))]. given #5242 (H,wt=20): 5762 K((x * y) / (z * y),T(u,x)) = R(K(z \ x,u),x,y). [para(5340(a,1),5758(a,1,1)),flip(a)]. given #5243 (H,wt=22): 5759 R(K(x / y,T(z,x * u)),x,u) = K((y * u) \ (x * u),z). [hyper(189,a,5340,a(flip),b,5758,a)]. given #5244 (H,wt=23): 5750 K(R(x,K(x,y) * (x \ z),u),w) = R(K(x,w),K(x,y) * z,u). [para(4552(a,1),5746(a,1,2)),flip(a)]. given #5245 (H,wt=19): 5766 R(K(x,y),K(x,z) * u,w) = K(R(x,x \ u,w),y). [hyper(5708,a,5750,a),flip(a)]. given #5246 (H,wt=17): 5767 R(K(x,y),K(x,z) * u,w) = R(K(x,y),u,w). [hyper(189,a,5749,a(flip),b,5766,a)]. given #5247 (H,wt=24): 5765 R(K(x \ (y / z),y / z),y / z,z) = K(y / (x * z),y / z). [para(4764(a,1),5760(a,1,1))]. given #5248 (H,wt=31): 4813 ((x * K(y,x)) * y) / L(x,y,x * K(y * x,x)) = (R(x * K(y,x),y,x) * y) / x. [para(4812(a,1),1272(a,1,2,3))]. given #5249 (H,wt=27): 5768 (x * y) / L(y,x,y * K(x * y,y)) = (R(y * K(x,y),x,y) * x) / y. [para(4405(a,1),4813(a,1,1))]. given #5250 (H,wt=27): 5769 (x / L(y,x,y * K(x * y,y))) * y = (R(y * K(x,y),x,y) * x) / y. [hyper(1265,a,5768,a)]. given #5251 (H,wt=23): 5770 (x / L(y,x,y * K(x * y,y))) * y = (x * R(y,x,y)) / y. [para(4426(a,1),5769(a,2,1))]. given #5252 (H,wt=22): 5771 (x / L(y,x,y * K(x * y,y))) * y = T(y * x,y) / y. [para(3668(a,1),5770(a,2,1))]. given #5253 (H,wt=21): 5772 (x / T(y * K(x,y),y * x)) * y = T(y * x,y) / y. [para(5646(a,1),5771(a,1,1,2))]. given #5254 (H,wt=16): 5773 (x / L(y,x,y)) * y = T(y * x,y) / y. [para(4485(a,1),5772(a,1,1,2))]. given #5255 (H,wt=16): 5774 (T(x * y,x) / x) \ (y * x) = L(x,y,x). [para(5773(a,1),1249(a,1,1))]. given #5256 (H,wt=31): 5175 (x / y) \ T(x * K(y,z),(x / y) \ 1) = (((x / y) \ 1) \ T(y,z)) * ((x / y) \ 1). [para(5140(a,1),768(a,1,2,1))]. given #5257 (H,wt=31): 5191 ((x / y) \ T(x * K(y,z),(x / y) \ 1)) / T(y,z) = K(x * K(y,z),(x / y) \ 1). [para(5159(a,1),4727(a,1,2))]. given #5258 (H,wt=31): 5192 T(x,y) / ((z / x) \ T(z * K(x,y),(z / x) \ 1)) = K((z / x) \ 1,z * K(x,y)). [para(5159(a,1),4803(a,1,1))]. given #5259 (H,wt=31): 5496 K(x,(L(y,z,u) * (y \ w)) \ (L(y,z,u) * w)) != v5 | K(x,T(y,L(y,z,u) * w)) = v5. [para(961(a,1),5491(a,1,2,1))]. given #5260 (H,wt=31): 5508 K(((x * y) \ x) \ 1,z) * ((((x * y) \ x) \ K(y,z)) \ u) = (((x * y) \ x) \ 1) \ u. [para(5237(a,1),4541(a,1,2,1))]. given #5261 (H,wt=25): 5776 K(x,y) * ((((z * x) \ z) \ K(x,y)) \ u) = (((z * x) \ z) \ 1) \ u. [para(5224(a,1),5508(a,1,1))]. given #5262 (H,wt=31): 5739 (L((x \ 1) \ 1,y,z) \ ((x \ 1) \ 1)) * (x \ 1) = ((L(x,y,z) \ 1) * x) * (1 / x). [para(5737(a,1),3452(a,2,1))]. given #5263 (H,wt=21): 5779 L((x \ 1) \ 1,y,z) \ ((x \ 1) \ 1) = L(x,y,z) \ x. [hyper(21,a,4930,a(flip),b,5739,a)]. given #5264 (H,wt=31): 5775 T((((x / y) \ 1) \ y) * ((x / y) \ 1),z) = (x / y) \ T(x * K(y,z),(x / y) \ 1). [hyper(189,a,4153,a,b,5175,a),flip(a)]. given #5265 (H,wt=23): 5780 (x / y) \ T(x * K(y,z),(x / y) \ 1) = T(x * (y / x),z). [para(3386(a,1),5775(a,1,1)),flip(a)]. given #5266 (H,wt=23): 5781 K(x * K(y,z),(x / y) \ 1) = T(x * (y / x),z) / T(y,z). [para(5780(a,1),5191(a,1,1)),flip(a)]. given #5267 (H,wt=23): 5782 K((x / y) \ 1,x * K(y,z)) = T(y,z) / T(x * (y / x),z). [para(5780(a,1),5192(a,1,2)),flip(a)]. given #5268 (H,wt=32): 4139 (x * y) \ (K(z,z \ 1) * (x * (K(z \ 1,z) * (y * u)))) = L(u,y * K(z \ 1,z),x). [hyper(3228,a,4095,a),flip(a)]. given #5269 (H,wt=20): 5783 L(x,y * K(z \ 1,z),u) = (u * y) \ (u * (y * x)). [para(4109(a,1),4139(a,1,2)),flip(a)]. given #5270 (H,wt=15): 5784 L(x,y * K(z \ 1,z),u) = L(x,y,u). [hyper(189,a,31,a,b,5783,a)]. given #5271 (H,wt=13): 5786 L(x,(y \ 1) \ 1,z) = L(x,y,z). [para(1142(a,1),5784(a,1,2)),flip(a)]. given #5272 (H,wt=13): 5787 L(x,T(y,y \ 1),z) = L(x,y,z). [para(1143(a,1),5784(a,1,2)),flip(a)]. given #5273 (H,wt=13): 5788 L(x,1 / y,z) = L(x,y \ 1,z). [para(1198(a,1),5784(a,1,2)),flip(a)]. given #5274 (H,wt=14): 5789 L(K(x,y \ 1),y,z) = K(x,y \ 1). [hyper(5736,a,5786,a),flip(a)]. given #5275 (H,wt=19): 5793 (x * y) * K(z,y \ 1) = x * (y * K(z,y \ 1)). [para(5789(a,1),102(a,1,2))]. given #5276 (H,wt=10): 5794 R(x,y,K(z,y \ 1)) = x. [hyper(376,a,5793,a)]. given #5277 (H,wt=12): 5795 R(x,y \ z,K(u,z \ y)) = x. [para(5258(a,1),5794(a,1,3))]. given #5278 (H,wt=19): 5796 x \ (y * K(z,y \ x)) = (x \ y) * K(z,y \ x). [para(5795(a,1),370(a,1,1))]. given #5279 (H,wt=22): 5792 (x * T(y,y \ 1)) * L(z,y,x) = x * (T(y,y \ 1) * z). [para(5787(a,1),102(a,1,2))]. given #5280 (H,wt=25): 5797 T(x \ y,z) * ((y \ x) * K(z,x \ y)) = T((x \ y) * (y \ x),z). [para(5796(a,1),5108(a,1,2))]. given #5281 (H,wt=17): 5799 T((x \ y) * (y \ x),z) = (x \ y) * (y \ x). [hyper(189,a,5510,a(flip),b,5797,a(flip))]. given #5282 (H,wt=11): 5801 T(x,(y \ z) * (z \ y)) = x. [hyper(38,a,5799,a)]. given #5283 (H,wt=11): 5804 T(x,y * ((z * y) \ z)) = x. [para(16(a,1),5801(a,1,2,1))]. given #5284 (H,wt=17): 5808 T(x * ((y * x) \ y),z) = x * ((y * x) \ y). [hyper(38,a,5804,a)]. given #5285 (H,wt=18): 5810 T(x * L(x \ 1,x,y),z) = x * ((y * x) \ y). [para(140(a,2),5808(a,1,1,2))]. given #5286 (H,wt=19): 5806 x / (y * ((z * y) \ z)) = (y * ((z * y) \ z)) \ x. [hyper(307,a,5804,a),flip(a)]. given #5287 (H,wt=22): 5809 x / (y * ((z * y) \ z)) != u | (y * ((z * y) \ z)) \ x = u. [para(5804(a,1),307(a,1))]. given #5288 (H,wt=25): 5798 (x * T(y,y \ 1)) * z != x * (T(y,y \ 1) * u) | L(u,y,x) = z. [para(5792(a,1),22(a,1)),flip(a)]. given #5289 (H,wt=32): 4494 ((x * y) * R(T(x,y),z,u)) / (R(x,z,u) * y) = T(x,y) * K(R(x,z,u) * y,T(x,y)). [para(1664(a,1),4375(a,1,1))]. given #5290 (H,wt=24): 5811 T(x,y) * K(R(x,z,u) * y,T(x,y)) = R(x,y,R(T(x,y),z,u)). [hyper(650,a,4494,a),flip(a)]. given #5291 (H,wt=32): 4751 ((x * y) * z) \ ((x * z) * R(T(y,x * z),x,z)) = K((((x * y) * z) \ (x * z)) \ 1,x). [para(832(a,1),4523(a,1,2,2))]. given #5292 (H,wt=25): 5812 K((((x * y) * z) \ (x * z)) \ 1,x) = ((x * y) * z) \ ((y * x) * z). [para(505(a,1),4751(a,1,2)),flip(a)]. given #5293 (H,wt=32): 4892 T(x,x \ y) \ R(T(z,z \ u),w,v5) != v6 | ((x \ y) \ y) \ R((z \ u) \ u,w,v5) = v6. [para(836(a,2),4891(a,1))]. given #5294 (H,wt=29): 5813 ((x \ y) \ y) \ R((x \ y) \ y,z,u) = x \ (y \ ((R(x,z,u) * (x \ y)) * x)). [hyper(4892,a,5105,a)]. given #5295 (H,wt=32): 4919 ((x * y) * z) / (x * (z * T(z \ (x \ ((x * y) * z)),u))) = K(u,R(y * K(x,y),x,z)). [para(4484(a,2),4675(a,2,2))]. given #5296 (H,wt=28): 5814 ((x * y) * z) / ((x * T(x \ (x * y),u)) * z) = K(u,R(y * K(x,y),x,z)). [para(1117(a,1),4919(a,1,2))]. given #5297 (H,wt=24): 5815 ((x * y) * z) / ((x * T(y,u)) * z) = K(u,R(y * K(x,y),x,z)). [para(16(a,1),5814(a,1,2,1,2,1))]. given #5298 (H,wt=32): 5111 x / L((y \ ((z \ 1) \ (z \ x))) * y,z \ 1,z) = K(y,x / (z * (y / ((z \ 1) \ 1)))). [para(166(a,1),5044(a,1,2))]. given #5299 (H,wt=19): 5816 K(x,y / (z * (x / ((z \ 1) \ 1)))) = K(x,x \ y). [hyper(189,a,5123,a(flip),b,5111,a(flip))]. given #5300 (H,wt=32): 5632 (x * y) * K(((x * y) \ (z * y)) \ 1,u) != y * w | T(x * K((x \ z) \ 1,u),y) = w. [para(5624(a,2),148(a,2)),flip(a)]. given #5301 (H,wt=33): 3728 (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(3535(a,1),150(a,1,1,2))]. given #5302 (H,wt=31): 5818 (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(927(a,1),3728(a,1,1))]. given #5303 (H,wt=29): 5819 (R(x,y,z) * (u * x)) \ ((R(x,y,z) * u) * x) = a(x,T(u,x),R(T(x,u),y,z)). [para(935(a,1),5818(a,1,2))]. given #5304 (H,wt=19): 5820 a(x,T(y,x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(553,a,5819,a),flip(a)]. given #5305 (H,wt=25): 5821 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(189,a,4009,a,b,5820,a(flip)),flip(a)]. given #5306 (H,wt=23): 5822 a(T(x,y),T(T(y,x),x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [para(3521(a,1),5821(a,1,1))]. given #5307 (H,wt=33): 3925 T(x * (y * K(z,u)),L(K(u,z),y / K(u,z),x)) = L(K(u,z),y / K(u,z),x) \ (x * y). [para(3890(a,1),599(a,1,1,2))]. given #5308 (H,wt=33): 5021 (K(x,y) * (((1 / x) * z) * T(((1 / x) * z) \ z,u))) / (K(x,y) * z) = K((1 / x) \ 1,u). [para(4974(a,1),4759(a,2,1,1))]. given #5309 (H,wt=23): 5824 (K(x,y) * (K(x,z) * u)) / (K(x,y) * u) = K((1 / x) \ 1,z). [para(4839(a,1),5021(a,1,1,2))]. given #5310 (H,wt=19): 5825 (K(x,y) * (K(x,z) * u)) / (K(x,y) * u) = K(x,z). [hyper(189,a,1216,a(flip),b,5824,a)]. given #5311 (H,wt=19): 5827 K(x,y) * (K(x,z) * u) = K(x,z) * (K(x,y) * u). [para(5825(a,1),19(a,1,1))]. given #5312 (H,wt=19): 5828 K(x,y) * (K(y,z) * (K(y,x) * u)) = K(y,z) * u. [hyper(3907,a,5827,a)]. given #5313 (H,wt=19): 5830 K(x,y) * (K(z,x) * u) = K(z,x) * (K(x,y) * u). [para(3887(a,1),5828(a,1,2,2)),flip(a)]. given #5314 (H,wt=23): 5829 K(x,y) * (K(x,z) * T(u,K(x,y))) = K(x,z) * (u * K(x,y)). [para(113(a,1),5827(a,1,2)),flip(a)]. given #5315 (H,wt=33): 5712 (T(T(x,y),y) * T(y,T(x,z))) / K(x,T(y * K(x,y),T(x,z))) = T(x,y) * T(y,T(x,z)). [para(5711(a,1),5185(a,1,1))]. given #5316 (H,wt=29): 5831 (T(T(x,y),y) * T(y,T(x,z))) / K(x,y * K(x,y)) = T(x,y) * T(y,T(x,z)). [para(5341(a,1),5712(a,1,2))]. given #5317 (H,wt=25): 5832 (T(T(x,y),y) * T(y,T(x,z))) / K(x,y) = T(x,y) * T(y,T(x,z)). [para(4429(a,1),5831(a,1,2))]. given #5318 (H,wt=33): 5823 T(x * (y * K(z,u)),L(K(u,z),y * K(z,u),x)) = L(K(u,z),y / K(u,z),x) \ (x * y). [para(3890(a,1),3925(a,1,2,2))]. given #5319 (H,wt=34): 4699 L((x \ 1) \ y,x \ 1,((x * z) / x) / (x \ 1)) = ((x * z) / x) \ (T(T(x,z) * z,x) * y). [para(4234(a,2),364(a,2,2,1))]. given #5320 (H,wt=34): 5300 R(x,K(y,z),L(L(z,u,w),K(y,z),x)) = (x * (K(y,z) * L(z,u,w))) / (K(y,z) * L(z,u,w)). [para(5295(a,1),349(a,1,2,2)),flip(a)]. given #5321 (H,wt=16): 5835 R(x,K(y,z),L(L(z,u,w),K(y,z),x)) = x. [hyper(189,a,18,a(flip),b,5300,a)]. given #5322 (H,wt=11): 5837 R(x,K(y,z),L(z,u,w)) = x. [para(5295(a,1),5835(a,1,3))]. given #5323 (H,wt=13): 5839 R(x,K(y,z),L(T(z,u),w,v5)) = x. [para(5396(a,1),5837(a,1,2))]. given #5324 (H,wt=25): 5840 x / (K(y,z) * L(T(z,u),w,v5)) = (x / L(T(z,u),w,v5)) * K(z,y). [hyper(189,a,3924,a(flip),b,5839,a(flip)),flip(a)]. given #5325 (H,wt=34): 5446 L(K(x * y,x) * K(z * y,K(x * y,x)),y,z) = (z * (T(x * y,x) / T(x,y))) / (z * y). [para(5247(a,2),4490(a,2,1,2))]. given #5326 (H,wt=34): 5537 K(x \ y,K(y,z) * x) * (K(y,z) * (x * (x \ y))) = L(x \ y,x,K(y,z)) * (K(y,z) * x). [para(5534(a,1),4472(a,1,1))]. given #5327 (H,wt=34): 5834 L((x \ 1) \ y,x \ 1,x * ((1 / x) * (x * z))) = ((x * z) / x) \ (T(T(x,z) * z,x) * y). [para(4206(a,1),4699(a,1,3))]. given #5328 (H,wt=35): 5009 (L(x \ 1,y,z) \ (x \ 1)) * T(1 / (1 / x),x \ 1) = K(x \ 1,x) * (L(x \ 1,y,z) \ 1). [para(5006(a,1),4137(a,1,2)),flip(a)]. given #5329 (H,wt=33): 5841 (L(x \ 1,y,z) \ (x \ 1)) * T(1 / (1 / x),x \ 1) = L(x \ 1,y,z) \ K(x \ 1,x). [hyper(189,a,4111,a(flip),b,5009,a)]. given #5330 (H,wt=33): 5842 (L(x \ 1,y,z) \ (x \ 1)) * T(1 / (1 / x),x \ 1) = (x \ 1) * (L(x \ 1,y,z) \ x). [hyper(189,a,970,a(flip),b,5841,a)]. given #5331 (H,wt=25): 5843 (L(x \ 1,y,z) \ (x \ 1)) * x = (x \ 1) * (L(x \ 1,y,z) \ x). [para(952(a,1),5842(a,1,2))]. given #5332 (H,wt=21): 5844 (L(x \ 1,y,z) \ (x \ 1)) \ (L(1 / x,y,z) \ 1) = x. [hyper(75,a,5086,a(flip),b,5843,a)]. given #5333 (H,wt=35): 5020 T(T(x,y) * K(x * y,T(x,y)),z) * (T(x,y) \ (x * y)) = T(x,y) \ ((T(x,z) * y) * T(x,y)). [para(1514(a,2),5019(a,2,2))]. given #5334 (H,wt=28): 5845 T(R(x,y,x),z) * (T(x,y) \ (x * y)) = T(x,y) \ ((T(x,z) * y) * T(x,y)). [para(4475(a,1),5020(a,1,1,1))]. given #5335 (H,wt=28): 5846 R(T(x,y),z,x) * (T(x,z) \ (x * z)) = T(x,z) \ ((T(x,y) * z) * T(x,z)). [para(45(a,2),5845(a,1,1))]. given #5336 (H,wt=24): 5847 T(x,y) \ ((T(x,z) * y) * T(x,y)) = R(T(x,z),y,x) * T(y,x). [para(3528(a,1),5846(a,1,2)),flip(a)]. given #5337 (H,wt=20): 5848 R(T(x,y),z,x) * T(z,x) = T(T(x,y) * z,T(x,z)). [hyper(238,a,5847,a),flip(a)]. given #5338 (H,wt=35): 5709 T(x,T(y * K(x,y),T(x,z))) * T(y * K(x,y),T(x,u)) = x * ((T(x,y) * T(y,T(x,u))) / x). [para(5580(a,1),5582(a,2,2))]. given #5339 (H,wt=27): 5849 T(x,y) * T(y * K(x,y),T(x,z)) = x * ((T(x,y) * T(y,T(x,z))) / x). [para(4431(a,1),5709(a,1,1,2))]. given #5340 (H,wt=25): 5850 T(T(x,y),y) * T(y,T(x,z)) = x * ((T(x,y) * T(y,T(x,z))) / x). [hyper(189,a,5711,a(flip),b,5849,a(flip)),flip(a)]. given #5341 (H,wt=36): 3850 T(L(L(x * K(y,x),y,x * K(y,x)),z,u) * y,x * K(y,x)) = L(x * K(y,x),z,u) * T(y,x). [para(3849(a,1),3760(a,2,2))]. given #5342 (H,wt=36): 4882 a(1 / (x * y),x,y) \ T((1 / (x * y)) * x,y) = (y * ((1 / (x * y)) * x)) \ ((1 / (x * y)) * x). [para(167(a,1),4881(a,1,1))]. given #5343 (H,wt=21): 5851 (x * ((1 / (y * x)) * y)) \ ((1 / (y * x)) * y) = x \ 1. [hyper(189,a,1857,a(flip),b,4882,a(flip))]. given #5344 (H,wt=37): 4188 T(x,y) \ T(T(x,y) * ((z * (x / z)) / T(x,y)),u) = T(z * (x / z),u) / T(T(x,y),z * (x / z)). [para(3781(a,1),4171(a,1,1))]. given #5345 (H,wt=37): 5629 (x * (y * z)) \ ((x * y) * L(z * K(z * u,u),y,x)) = L(K(u * L(z,y,x),u),L(z,y,x),x * y). [para(5628(a,1),347(a,1,2,2))]. given #5346 (H,wt=34): 5855 L(K(x * L(y,z,u),x),L(y,z,u),u * z) = (u * (z * y)) \ (u * (z * (y * K(y * x,x)))). [para(102(a,1),5629(a,1,2)),flip(a)]. given #5347 (H,wt=30): 5856 L(L(K(x * y,y),x,z),z * x,u) = L(K(y * L(x,z,u),y),L(x,z,u),u * z). [hyper(189,a,348,a(flip),b,5855,a),flip(a)]. given #5348 (H,wt=37): 5854 T(x,y) \ T(T(x,y) * (K(y,x) * K(z,z \ x)),u) = T(z * (x / z),u) / T(T(x,y),z * (x / z)). [para(5590(a,1),4188(a,1,2,1,2))]. given #5349 (H,wt=29): 5857 T(x * (y / x),z) / T(T(y,u),x * (y / x)) = T(y,u) \ T(x * (y / x),z). [para(4583(a,1),5854(a,1,2,1)),flip(a)]. given #5350 (H,wt=23): 5858 T(x * (y / x),z) / T(y,u) = T(y,u) \ T(x * (y / x),z). [para(3781(a,1),5857(a,1,2))]. given #5351 (H,wt=23): 5860 K(x * K(y,z),(x / y) \ 1) = T(y,z) \ T(x * (y / x),z). [hyper(189,a,5781,a,b,5858,a(flip)),flip(a)]. given #5352 (H,wt=19): 5862 K(x * K(y,z),(x / y) \ 1) = K(x,x \ T(y,z)). [hyper(189,a,4178,a(flip),b,5860,a)]. given #5353 (H,wt=38): 5049 T(R(x,y,z) * K(u * R(1 / (1 / x),y,z),R(x,y,z)),u) = R(R(x,y,z),u,L(R(x,y,z),x \ 1,x)). [para(475(a,1),5046(a,1,1,2,1,2))]. given #5354 (H,wt=38): 5051 (x / (y * K(z,y))) * R(y * K(z,y),z,L(y,u,w)) = (x * (y * K(z * L(y,u,w),y))) / (y * K(z,y)). [para(5045(a,1),1646(a,1,1,2)),flip(a)]. given #5355 (H,wt=34): 5864 (x / (y * K(z,y))) * R(y * K(z,y),z,L(y,u,w)) = (x * K(z * L(y,u,w),y)) * K(y,z). [hyper(189,a,5286,a(flip),b,5051,a)]. given #5356 (H,wt=38): 5863 T(R(x,y,z) * K(u * R((1 / x) \ 1,y,z),R(x,y,z)),u) = R(R(x,y,z),u,L(R(x,y,z),x \ 1,x)). [para(5568(a,1),5049(a,1,1,2))]. given #5357 (H,wt=34): 5865 T(R(x,y,z) * K(u * R(x,y,z),R(x,y,z)),u) = R(R(x,y,z),u,L(R(x,y,z),x \ 1,x)). [para(69(a,1),5863(a,1,1,2,1,2,1))]. given #5358 (H,wt=40): 4623 L(x,((y \ 1) \ y) \ y,z / T(y \ 1,(y \ 1) \ y)) = z \ ((z / (K(y,y) / y)) * ((((y \ 1) \ y) \ y) * x)). [para(4602(a,1),1967(a,1,2,1,2)),flip(a)]. given #5359 (H,wt=38): 5866 L(x,((y \ 1) \ y) \ y,z / T(y \ 1,(y \ 1) \ y)) = z \ ((z / (1 / y)) * ((((y \ 1) \ y) \ y) * x)). [para(123(a,1),4623(a,2,2,1,2,1))]. given #5360 (H,wt=36): 5868 L(x,((y \ 1) \ y) \ y,z / T(y \ 1,(y \ 1) \ y)) = z \ ((z / (1 / y)) * (((y * y) \ y) * x)). [para(489(a,1),5866(a,2,2,2,1,1))]. given #5361 (H,wt=34): 5869 L(x,((y \ 1) \ y) \ y,z / T(y \ 1,(y \ 1) \ y)) = z \ ((z / (1 / y)) * ((1 / y) * x)). [para(1888(a,1),5868(a,2,2,2,1))]. given #5362 (H,wt=30): 5870 L(x,((y \ 1) \ y) \ y,z / T(y \ 1,(y \ 1) \ y)) = z \ (y * ((y \ z) * x)). [para(473(a,1),5869(a,2,2))]. given #5363 (H,wt=27): 5871 L(x,((y \ 1) \ y) \ y,z / T(y \ 1,(y \ 1) \ y)) = L(x,y \ z,y). [hyper(189,a,103,a(flip),b,5870,a)]. given #5364 (H,wt=25): 5872 L(x,(y * y) \ y,z / T(y \ 1,(y \ 1) \ y)) = L(x,y \ z,y). [para(489(a,1),5871(a,1,2,1))]. given #5365 (H,wt=23): 5873 L(x,1 / y,z / T(y \ 1,(y \ 1) \ y)) = L(x,y \ z,y). [para(1888(a,1),5872(a,1,2))]. given #5366 (H,wt=21): 5874 L(x,1 / y,z / T(y \ 1,y * y)) = L(x,y \ z,y). [para(489(a,1),5873(a,1,3,2,2))]. given #5367 (H,wt=19): 5875 L(x,1 / y,z / (K(y,y) / y)) = L(x,y \ z,y). [para(4602(a,1),5874(a,1,3,2))]. given #5368 (H,wt=17): 5876 L(x,1 / y,z / (1 / y)) = L(x,y \ z,y). [para(123(a,1),5875(a,1,3,2,1))]. given #5369 (H,wt=41): 4187 ((x * ((y * x) \ y)) \ 1) * T(((x * ((y * x) \ y)) \ 1) \ (1 / ((y * x) \ y)),z) = T(x,z) / (x * ((y * x) \ y)). [para(1237(a,1),4158(a,2,1,1))]. given #5370 (H,wt=43): 4663 x * ((T(y,(z \ x) \ u) * (x \ (z * u))) / T(y,(z \ x) \ u)) = z * ((z \ x) * (((z \ x) \ u) * K(y,(z \ x) \ u))). [para(4455(a,1),1223(a,1,2,2)),flip(a)]. given #5371 (H,wt=37): 5878 x * ((T(y,(z \ x) \ u) * (x \ (z * u))) / T(y,(z \ x) \ u)) = z * (u * K(y,(u \ (z \ x)) \ 1)). [para(4858(a,1),4663(a,2,2))]. given #5372 (H,wt=35): 5879 x * ((x \ (y * z)) * K(T(u,(y \ x) \ z),x \ (y * z))) = y * (z * K(u,(z \ (y \ x)) \ 1)). [hyper(189,a,4479,a(flip),b,5878,a(flip)),flip(a)]. given #5373 (H,wt=29): 5880 x * ((x \ (y * z)) * K(u,x \ (y * z))) = y * (z * K(u,(z \ (y \ x)) \ 1)). [para(5618(a,1),5879(a,1,2,2))]. given #5374 (H,wt=27): 5881 (x * y) * K(z,((x * y) \ u) \ 1) = x * (y * K(z,(y \ (x \ u)) \ 1)). [hyper(189,a,4858,a(flip),b,5880,a(flip)),flip(a)]. given #5375 (H,wt=22): 5882 L(K(x,(y \ (z \ u)) \ 1),y,z) = K(x,((z * y) \ u) \ 1). [hyper(346,a,5881,a)]. given #5376 (H,wt=22): 5883 L(K(x,(y \ z) \ 1),y,u) = K(x,((u * y) \ (u * z)) \ 1). [para(16(a,1),5882(a,1,1,2,1,2))]. given #5377 (H,wt=22): 5884 K(x,((y * z) \ (y * (z * u))) \ 1) = L(K(x,u \ 1),z,y). [para(16(a,1),5883(a,1,1,2,1)),flip(a)]. given #5378 (H,wt=17): 5885 L(K(x,y \ 1),z,u) = K(x,L(y,z,u) \ 1). [para(31(a,2),5884(a,1,2,1)),flip(a)]. given #5379 (H,wt=17): 5886 K(x,L(1 / y,z,u) \ 1) = L(K(x,y),z,u). [para(69(a,1),5885(a,1,1,2)),flip(a)]. given #5380 (H,wt=17): 5888 K(x,L(y \ 1,z,u) \ 1) = L(K(x,y),z,u). [para(3081(a,1),5885(a,1,1)),flip(a)]. given #5381 (H,wt=15): 5890 L(K(x,y),z,u) \ 1 = L(K(y,x),z,u). [hyper(189,a,4833,a(flip),b,5888,a(flip)),flip(a)]. given #5382 (H,wt=12): 5896 L(K(x,y),x,z) = K(y,x) \ 1. [para(5302(a,1),5890(a,1,1)),flip(a)]. given #5383 (H,wt=10): 5897 L(K(x,y),x,z) = K(x,y). [hyper(189,a,3871,a(flip),b,5896,a)]. given #5384 (H,wt=13): 5898 L(K(x,y),x,z) != u | K(x,y) = u. [para(5896(a,2),3872(a,1))]. given #5385 (H,wt=15): 5891 K(x,L(y,z / y,u)) = L(K(x,y),z,u). [hyper(5543,a,5890,a)]. given #5386 (H,wt=15): 5892 1 / L(K(x,y),z,u) = L(K(y,x),z,u). [hyper(4284,a,5890,a)]. given #5387 (H,wt=15): 5904 L(K(x,y),z * y,u) = K(x,L(y,z,u)). [para(18(a,1),5891(a,1,2,2)),flip(a)]. given #5388 (H,wt=17): 5893 (x * L(K(y,z),u,w)) \ x = L(K(z,y),u,w). [hyper(189,a,4960,a,b,5890,a(flip)),flip(a)]. given #5389 (H,wt=17): 5895 L(K(x,y),z,u) \ w = L(K(y,x),z,u) * w. [para(5890(a,1),4946(a,1,1))]. given #5390 (H,wt=17): 5905 L(K(x,y \ z),z,u) = K(x,L(y \ z,y,u)). [para(67(a,1),5891(a,1,2,2)),flip(a)]. given #5391 (H,wt=14): 5912 K(x,L(y \ x,y,z)) = K(x,y \ x). [hyper(5898,a,5905,a),flip(a)]. given #5392 (H,wt=15): 5916 K(x,(y \ z) \ x) = K(x,z \ (y * x)). [para(359(a,1),5912(a,1,2)),flip(a)]. given #5393 (H,wt=17): 5910 L(K(x,y),z,u) * (L(K(y,x),z,u) * w) = w. [hyper(237,a,5895,a)]. given #5394 (H,wt=18): 5894 1 / L(K(x,y),z,u) != w | L(K(y,x),z,u) = w. [para(5890(a,1),246(a,1,2)),flip(b)]. given #5395 (H,wt=18): 5906 L(K(x,y),z,u) \ 1 != w | L(K(y,x),z,u) = w. [para(5892(a,1),236(a,1,1)),flip(b)]. given #5396 (H,wt=18): 5907 L(L(K(x,y),z * y,u),y,w) = K(x,L(y,z,u)). [hyper(189,a,5309,a,b,5904,a(flip)),flip(a)]. given #5397 (H,wt=16): 5919 L(K(x,L(y,z,u)),y,w) = K(x,L(y,z,u)). [para(5904(a,1),5907(a,1,1))]. given #5398 (H,wt=18): 5909 (x * (y * K(z,u))) \ (x * y) = L(K(u,z),y,x). [para(102(a,1),5893(a,1,1))]. given #5399 (H,wt=18): 5913 L(K(x,y \ z),z,u) = K(x,(u * y) \ (u * z)). [para(104(a,1),5905(a,2,2))]. given #5400 (H,wt=18): 5915 L(K(x,(y \ z) \ u),u,y) = K(x,z \ (y * u)). [para(359(a,1),5905(a,2,2))]. given #5401 (H,wt=18): 5921 (x * (y * K(z,u))) * L(K(u,z),y,x) = x * y. [para(5909(a,1),17(a,1,2))]. given #5402 (H,wt=18): 5927 K(x,y \ (z * x)) != u | K(x,(z \ y) \ x) = u. [para(5915(a,1),5898(a,1))]. given #5403 (H,wt=19): 5899 (x * y) * T(K(y,z),u) = x * (y * T(K(y,z),u)). [para(5897(a,1),350(a,1,2,1))]. given #5404 (H,wt=19): 5900 (1 / x) \ L(K(x,y),z,u) = x * L(K(x,y),z,u). [para(5897(a,1),403(a,1,2,1))]. given #5405 (H,wt=20): 5908 x / L(K(y,z),u,w) != v5 | x * L(K(z,y),u,w) = v5. [para(5893(a,1),246(a,1,2)),flip(b)]. given #5406 (H,wt=20): 5914 L(K(x,y \ (z \ u)),z \ u,z) = K(x,(z * y) \ u). [para(183(a,1),5905(a,2,2))]. given #5407 (H,wt=20): 5917 K(x,L((y \ z) \ x,z / y,y)) = K(x,(y \ z) \ x). [para(4005(a,1),5912(a,1,2))]. given #5408 (H,wt=20): 5918 L(K(x,y),z,u) \ w != v5 | L(K(y,x),z,u) * w = v5. [para(5910(a,1),237(a,1,2)),flip(b)]. given #5409 (H,wt=20): 5924 (x * (K(y,z) * u)) \ (x * u) = L(K(z,T(y,u)),u,x). [para(5370(a,1),5909(a,1,1,2))]. given #5410 (H,wt=20): 5925 K(x,(y * (z \ u)) \ (y * u)) = L(K(x,T(z,u)),u,y). [para(5333(a,1),5913(a,1,1)),flip(a)]. given #5411 (H,wt=20): 5931 (x * (K(y,z) * u)) * L(K(z,T(y,u)),u,x) = x * u. [para(5370(a,1),5921(a,1,1,2))]. given #5412 (H,wt=20): 5933 K(x,L((y \ z) \ x,z / y,y)) = K(x,z \ (y * x)). [hyper(189,a,5916,a(flip),b,5917,a)]. given #5413 (H,wt=21): 5911 L(K(x,y),z,u) \ K(x,w) = K(x,w) * L(K(y,x),z,u). [hyper(189,a,1963,a(flip),b,5895,a)]. given #5414 (H,wt=21): 5920 K((x \ y) \ z,L(z,u,w)) = K(y \ (x * z),L(z,u,w)). [hyper(189,a,5527,a(flip),b,5919,a(flip))]. given #5415 (H,wt=21): 5928 (x * (y * K(z,u))) * w != x * y | L(K(u,z),y,x) = w. [para(5921(a,1),22(a,1)),flip(a)]. given #5416 (H,wt=21): 5929 (x * (y * K(z,u))) \ (x * y) != w | L(K(u,z),y,x) = w. [para(5921(a,1),237(a,1,2)),flip(b)]. given #5417 (H,wt=22): 5887 (x * y) * K(z,L(u,y,x) \ 1) = x * (y * K(z,u \ 1)). [para(5885(a,1),102(a,1,2))]. given #5418 (H,wt=16): 5939 T(x,L(y,x,z) \ 1) = x * K(x,y \ 1). [hyper(5167,a,5887,a)]. given #5419 (H,wt=17): 5940 T(x,L(y,x,z) \ 1) != u | T(x,y \ 1) = u. [para(5939(a,2),4399(a,1))]. given #5420 (H,wt=22): 5923 (x * (y \ T(y * z,y))) \ (x * z) = L(K(y,y * z),z,x). [para(5198(a,2),5909(a,1,1,2))]. given #5421 (H,wt=22): 5930 (x * (y * T(z,u))) * L(K(u,z),y * z,x) = x * (y * z). [para(5139(a,1),5921(a,1,1,2))]. given #5422 (H,wt=20): 5942 (x * (y * T(z,u))) * K(u,L(z,y,x)) = x * (y * z). [para(5904(a,1),5930(a,1,2))]. given #5423 (H,wt=18): 5943 (x * (y * z)) * K(z,L(y,z,x)) = x * (z * y). [para(113(a,1),5942(a,1,1,2))]. given #5424 (H,wt=23): 5926 (x * y) * K(z,u \ (x * y)) = x * (y * K(z,(x \ u) \ y)). [para(5915(a,1),102(a,1,2))]. given #5425 (H,wt=21): 5945 x * (y * K(z,(x \ 1) \ y)) = (x * y) * K(z,x * y). [para(58(a,1),5926(a,1,2,2)),flip(a)]. given #5426 (H,wt=21): 5946 K(x \ (y * z),(y \ 1) \ z) = K((y \ x) \ z,y * z). [hyper(5598,a,5945,a(flip))]. given #5427 (H,wt=23): 5932 (x * y) \ (y * (x * T(K(x,y),z))) = K(y,x) * T(K(x,y),z). [para(5899(a,1),3882(a,1,2))]. given #5428 (H,wt=19): 5949 (x * y) \ (y * (x * T(K(x,y),z))) = K(z,K(y,x)). [hyper(189,a,4463,a(flip),b,5932,a)]. given #5429 (H,wt=17): 5950 (x * y) \ (y * T(x,T(y,z))) = K(z,K(y,x)). [para(5349(a,1),5949(a,1,2,2))]. given #5430 (H,wt=17): 5951 (x * y) \ T(x * y,K(y,z)) = K(z,K(y,x)). [para(5523(a,2),5950(a,1,2))]. given #5431 (H,wt=13): 5952 K(x * y,K(y,z)) = K(z,K(y,x)). [hyper(4413,a,5951,a)]. given #5432 (H,wt=11): 5953 K(x,K(y,z)) = K(z,K(y,x)). [hyper(189,a,5487,a(flip),b,5952,a(flip))]. given #5433 (H,wt=11): 5954 K(K(x,y),z) = K(x,K(y,z)). [hyper(4616,a,5953,a)]. given #5434 (H,wt=13): 5955 K(x,K(y,z * y)) = K(x,K(y,z)). [hyper(189,a,5952,a(flip),b,5953,a)]. given #5435 (H,wt=13): 5956 K(x,K(y,z)) \ 1 = K(z,K(x,y)). [para(5953(a,1),4593(a,1,1))]. given #5436 (H,wt=11): 5966 K(x,K(y,z)) = K(y,K(x,z)). [hyper(4594,a,5956,a)]. given #5437 (H,wt=11): 5968 K(K(x,y),z) = K(y,K(x,z)). [hyper(189,a,5954,a,b,5966,a),flip(a)]. given #5438 (H,wt=11): 5969 K(x,K(y,z)) = K(z,K(x,y)). [hyper(189,a,5953,a,b,5966,a)]. given #5439 (H,wt=11): 5979 K(K(x,y),z) = K(z,K(x,y)). [hyper(189,a,5953,a,b,5968,a)]. given #5440 (H,wt=11): 5983 K(x,K(y,z)) = K(x,K(z,y)). [hyper(189,a,5966,a,b,5969,a)]. given #5441 (H,wt=13): 5961 T(x,K(y,z)) * K(y,K(z,x)) = x. [para(5954(a,1),4365(a,1,2))]. given #5442 (H,wt=13): 5965 K(x,K(y,y * z)) = K(x,K(y,z)). [para(4576(a,1),5955(a,1,2))]. given #5443 (H,wt=13): 5970 x * K(y,K(x,z)) = T(x,K(y,z)). [para(5966(a,1),4396(a,2,2)),flip(a)]. given #5444 (H,wt=13): 5971 K(x,K(y,z)) * y = T(y,K(x,z)). [para(5966(a,1),4403(a,2,1)),flip(a)]. given #5445 (H,wt=13): 5984 K(x,K(y,z)) * z = T(z,K(x,y)). [para(5969(a,2),4403(a,2,1)),flip(a)]. given #5446 (H,wt=13): 5992 K(x,K(y,z * y)) = K(x,K(z,y)). [hyper(189,a,5955,a,b,5983,a),flip(a)]. given #5447 (H,wt=13): 5994 K(x,K(y,y * z)) = K(y,K(x,z)). [hyper(189,a,5966,a,b,5965,a)]. given #5448 (H,wt=13): 5995 K(x,K(y,y \ z)) = K(x,K(y,z)). [para(17(a,1),5965(a,1,2,2)),flip(a)]. given #5449 (H,wt=13): 5998 K(x,K(y,x * z)) = K(x,K(y,z)). [hyper(189,a,5966,a,b,5994,a(flip)),flip(a)]. given #5450 (H,wt=13): 5999 K(x,K(y,y \ z)) = K(y,K(z,x)). [hyper(189,a,5969,a,b,5995,a)]. given #5451 (H,wt=13): 6001 K(x,K(x \ y,z)) = K(x,K(y,z)). [hyper(189,a,5969,a,b,5999,a(flip)),flip(a)]. given #5452 (H,wt=13): 6003 K(x,K(x * y,z)) = K(x,K(y,z)). [para(16(a,1),6001(a,1,2,1)),flip(a)]. given #5453 (H,wt=14): 5957 K(x,K(y,z)) != u | K(K(x,y),z) = u. [para(5953(a,1),4616(a,1))]. given #5454 (H,wt=14): 5963 K(x,K(y,z)) != u | K(z,K(y,x)) = u. [para(5954(a,1),4693(a,1))]. given #5455 (H,wt=14): 5967 K(x,K(y,z)) != u | K(y,K(x,z)) = u. [para(5956(a,1),4594(a,1))]. given #5456 (H,wt=14): 5991 K(x,K(y,z)) != u | K(x,K(z,y)) = u. [para(5979(a,1),4693(a,1))]. given #5457 (H,wt=14): 6005 K(K(x,y),z) != u | K(x,K(y,z)) = u. [para(4591(a,2),5963(a,1))]. given #5458 (H,wt=14): 6009 K(x,K(y,z)) != u | K(y,K(z,x)) = u. [para(5983(a,1),5963(a,1))]. given #5459 (H,wt=15): 5958 K(x,y) * K(x,K(y,z)) = T(K(x,y),z). [para(5953(a,1),4595(a,1,2))]. given #5460 (H,wt=15): 5976 K(x,y) * K(y,K(z,x)) = T(K(x,y),z). [para(5966(a,1),4595(a,1,2))]. given #5461 (H,wt=15): 5978 K(x,K(y,z)) * K(z,x) = K(z,T(x,y)). [para(5966(a,1),5338(a,1,1))]. given #5462 (H,wt=15): 5987 K(x,K(y,z)) * K(y,x) = K(y,T(x,z)). [para(5969(a,2),5338(a,1,1))]. given #5463 (H,wt=15): 6000 T(x,K(y,y \ z)) = x * K(x,K(y,z)). [para(5995(a,1),4396(a,2,2))]. given #5464 (H,wt=13): 6015 T(x,K(y,y \ z)) = T(x,K(y,z)). [hyper(189,a,4396,a,b,6000,a)]. given #5465 (H,wt=13): 6018 T(x,K(y,y * z)) = T(x,K(y,z)). [para(16(a,1),6015(a,1,2,2)),flip(a)]. given #5466 (H,wt=15): 6004 K(x,K(x \ y,T(z,y))) = K(x,K(y,z)). [para(3874(a,1),6001(a,2,2))]. given #5467 (H,wt=15): 6012 K(x,y) * K(x,K(y,z)) = K(x,T(y,z)). [hyper(189,a,5334,a,b,5958,a)]. given #5468 (H,wt=15): 6019 T(x * y,T(z,K(x,y))) = T(x * y,z). [para(6018(a,1),5378(a,1,2))]. given #5469 (H,wt=15): 6021 K(x,y) * K(z,K(x,y)) = K(x,T(y,z)). [para(5969(a,1),6012(a,1,2))]. given #5470 (H,wt=11): 6023 T(K(x,T(y,z)),z) = K(x,y). [para(6021(a,1),4374(a,1,1))]. given #5471 (H,wt=11): 6026 K(x,T(T(y,z),z)) = K(x,y). [hyper(5490,a,6023,a)]. given #5472 (H,wt=11): 6027 K(T(x,y),T(z,y)) = K(x,z). [hyper(5431,a,6023,a)]. given #5473 (H,wt=11): 6031 T(T(K(x,y),z),z) = K(x,y). [para(5334(a,1),6023(a,1,1))]. given #5474 (H,wt=13): 6022 (x * K(y,z)) / x = K(y,T(z,x)). [hyper(4384,a,6021,a)]. given #5475 (H,wt=13): 6024 K(x,T(y,z)) * z = z * K(x,y). [para(6021(a,1),4405(a,1,1))]. given #5476 (H,wt=13): 6029 K(x \ y,T(z,y)) = K(y / x,z). [hyper(189,a,5210,a(flip),b,6023,a(flip)),flip(a)]. given #5477 (H,wt=13): 6033 K(x \ y,T(z,x)) = K(y / x,z). [hyper(5429,a,6026,a)]. given #5478 (H,wt=13): 6034 K((x * y) / x,z) = K(y,T(z,x)). [hyper(5415,a,6026,a),flip(a)]. given #5479 (H,wt=13): 6035 K(x,T(y \ z,y)) = K(x,z / y). [para(115(a,1),6026(a,1,2,1))]. given #5480 (H,wt=13): 6036 K(x,(y * z) / y) = K(x,T(z,y)). [para(142(a,1),6026(a,1,2,1)),flip(a)]. given #5481 (H,wt=13): 6039 K(T(x,y),z \ y) = K(x,y / z). [hyper(5325,a,6027,a)]. given #5482 (H,wt=13): 6041 K(T(x,y),y \ z) = K(x,z / y). [para(115(a,1),6027(a,1,2))]. given #5483 (H,wt=13): 6046 K(x * K(y,x),z) = K(x,T(z,y)). [para(4374(a,1),6027(a,1,1)),flip(a)]. given #5484 (H,wt=13): 6047 K(x,y * K(z,y)) = K(T(x,z),y). [para(4374(a,1),6027(a,1,2)),flip(a)]. given #5485 (H,wt=13): 6048 x * K(T(x,y),T(z,y)) = T(x,z). [para(6027(a,2),4396(a,2,2)),flip(a)]. given #5486 (H,wt=11): 6092 T(x,T(T(y,z),z)) = T(x,y). [hyper(5407,a,6048,a)]. given #5487 (H,wt=13): 6051 K(T(x,y),z) * y = y * K(x,z). [para(6027(a,1),5345(a,1,2)),flip(a)]. given #5488 (H,wt=13): 6052 K(x,T(y,z)) * (z * K(y,x)) = z. [para(6027(a,1),5360(a,1,2,2))]. given #5489 (H,wt=13): 6053 (x * K(y,z)) / x = T(K(y,z),x). [para(6031(a,1),143(a,1,1,2))]. given #5490 (H,wt=13): 6060 K(x,T(y \ z,z)) = K(x,z / y). [hyper(21,a,5271,a,b,6024,a)]. given #5491 (H,wt=13): 6065 K(x / (x / y),z) = K(y,T(z,x)). [hyper(4628,a,6029,a),flip(a)]. given #5492 (H,wt=13): 6093 T(x,y * K(z,y)) = T(x,T(y,z)). [para(4374(a,1),6092(a,1,2,1)),flip(a)]. given #5493 (H,wt=14): 6079 K(x,T(T(y,z),z)) != u | K(x,y) = u. [para(6034(a,1),5415(a,1))]. given #5494 (H,wt=14): 6101 K(T(x,y),T(z,y)) != u | K(x,z) = u. [para(5380(a,2),6079(a,1))]. given #5495 (H,wt=15): 6030 T(K(x,y \ z),z) = K(x,(y / z) \ 1). [para(4247(a,1),6023(a,1,1,2))]. given #5496 (H,wt=15): 6032 T(T(x,y),T(z,y)) = K(x,z) * T(x,y). [para(6023(a,1),5387(a,1,1)),flip(a)]. given #5497 (H,wt=15): 6050 T(x,T(y,z)) * z = (x * z) * K(x,y). [para(6027(a,1),5138(a,1,2)),flip(a)]. given #5498 (H,wt=15): 6056 T(x,K(y,z)) * K(y,z) = K(y,z) * x. [para(6031(a,1),3703(a,1,2))]. given #5499 (H,wt=11): 6117 T(T(x,K(y,z)),K(y,z)) = x. [hyper(147,a,6056,a,b,xx)]. given #5500 (H,wt=11): 6118 T(x,K(y,z)) = T(x,K(z,y)). [hyper(21,a,3958,a,b,6056,a)]. given #5501 (H,wt=14): 6121 T(x,K(y,z)) != u | T(x,K(z,y)) = u. [para(6117(a,1),4592(a,1,1)),flip(b)]. given #5502 (H,wt=15): 6059 T(x,T(y,z)) * (x \ z) = z * K(x,y). [hyper(4606,a,6024,a)]. given #5503 (H,wt=15): 6061 T(x,T(y,z)) * z = x * (z * K(x,y)). [para(6024(a,1),4376(a,1,2)),flip(a)]. given #5504 (H,wt=15): 6063 K(x \ y,z) * y = y * K(y / x,z). [para(5340(a,1),6024(a,1,1))]. given #5505 (H,wt=15): 6094 T(T(x,y),T(z,y)) = K(x,y) * T(x,z). [para(6092(a,1),5425(a,1,2)),flip(a)]. given #5506 (H,wt=15): 6095 K(x,T(y,z)) * (z * x) = z * T(x,y). [para(6092(a,1),5460(a,2,2))]. given #5507 (H,wt=15): 6115 (K(x,y) * z) * K(y,x) = T(z,K(x,y)). [hyper(3929,a,6056,a)]. given #5508 (H,wt=15): 6122 K(x,y) * (z * K(y,x)) = T(z,K(x,y)). [hyper(3951,a,6118,a)]. given #5509 (H,wt=15): 6126 (x * y) * K(x,z) = x * (y * K(x,z)). [hyper(189,a,6050,a(flip),b,6061,a(flip)),flip(a)]. given #5510 (H,wt=8): 6140 R(x,y,K(x,z)) = x. [hyper(376,a,6126,a)]. given #5511 (H,wt=10): 6150 R(x,y,K(T(x,z),u)) = x. [para(5380(a,2),6140(a,1,3))]. given #5512 (H,wt=12): 6145 R(T(x,y),z,K(x,u)) = T(x,y). [para(6140(a,1),45(a,2,1))]. given #5513 (H,wt=11): 6153 T(x,y * K(x,z)) = T(x,y). [hyper(189,a,5239,a(flip),b,6145,a(flip))]. given #5514 (H,wt=11): 6159 T(x,y * K(z,x)) = T(x,y). [para(3919(a,1),6153(a,1,2)),flip(a)]. given #5515 (H,wt=11): 6161 T(x,K(x,y) * z) = T(x,z). [para(5345(a,1),6153(a,1,2))]. given #5516 (H,wt=11): 6162 T(x,K(y,x) * z) = T(x,z). [para(5348(a,1),6153(a,1,2)),flip(a)]. given #5517 (H,wt=13): 6142 K(x,(x \ 1) \ y) = K(x,x * y). [hyper(20,a,5945,a(flip),b,6126,a)]. given #5518 (H,wt=13): 6156 K(x,y * K(x,z)) = x \ T(x,y). [hyper(75,a,6153,a(flip),b,4396,a(flip)),flip(a)]. given #5519 (H,wt=11): 6174 K(x,y * K(x,z)) = K(x,y). [hyper(189,a,4360,a,b,6156,a)]. given #5520 (H,wt=11): 6176 K(x,y / K(z,x)) = K(x,y). [para(3890(a,2),6174(a,1,2))]. given #5521 (H,wt=11): 6177 K(x,y * K(z,x)) = K(x,y). [para(3919(a,1),6174(a,1,2)),flip(a)]. given #5522 (H,wt=11): 6179 K(x,K(x,y) * z) = K(x,z). [para(5345(a,1),6174(a,1,2))]. given #5523 (H,wt=13): 6166 T(x,y \ T(z,x)) = T(x,y \ z). [para(1077(a,1),6159(a,1,2))]. given #5524 (H,wt=13): 6168 T(x,T(y,x) * z) = T(x,y * z). [para(4754(a,1),6159(a,1,2))]. given #5525 (H,wt=13): 6170 T(x,T(x,y) * z) = T(x,x * z). [para(4407(a,1),6161(a,1,2))]. given #5526 (H,wt=13): 6178 K(x,y * T(z,x)) = K(x,y * z). [para(5158(a,1),6174(a,1,2)),flip(a)]. given #5527 (H,wt=13): 6182 K(x,y \ K(z,x)) = K(x,y \ 1). [hyper(189,a,4777,a(flip),b,6176,a(flip))]. given #5528 (H,wt=13): 6183 K(x * K(y,z),z) = 1 / K(z,x). [para(6177(a,1),3875(a,1,2)),flip(a)]. given #5529 (H,wt=11): 6193 K(x * K(y,z),z) = K(x,z). [hyper(189,a,3875,a(flip),b,6183,a)]. given #5530 (H,wt=11): 6197 K(x * K(y,z),y) = K(x,y). [para(3919(a,1),6193(a,1,1)),flip(a)]. given #5531 (H,wt=11): 6201 K(K(x,y) * z,x) = K(z,x). [para(5365(a,1),6193(a,1,1)),flip(a)]. given #5532 (H,wt=11): 6202 K(K(x,y) \ z,x) = K(z,x). [para(5369(a,1),6193(a,1,1))]. given #5533 (H,wt=11): 6203 K(K(x,y) * z,y) = K(z,y). [para(5370(a,1),6193(a,1,1))]. given #5534 (H,wt=13): 6186 K(x,T(x,y) \ z) = K(x,x \ z). [para(4541(a,1),6179(a,1,2)),flip(a)]. given #5535 (H,wt=13): 6195 K(x * T(y,z),z) = K(x * y,z). [para(1078(a,1),6193(a,1,1))]. given #5536 (H,wt=13): 6199 K(x * T(y,z),y) = K(x * y,y). [para(5158(a,1),6193(a,1,1)),flip(a)]. given #5537 (H,wt=13): 6200 K(x * K(y,T(z,u)),z) = K(x,z). [para(5337(a,1),6193(a,1,1,2))]. given #5538 (H,wt=13): 6209 K(T(x,y) \ z,x) = K(x \ z,x). [para(4541(a,1),6201(a,1,1)),flip(a)]. given #5539 (H,wt=14): 6146 R(R(x,y,z),u,K(x,w)) = R(x,y,z). [para(6140(a,1),49(a,1,1)),flip(a)]. given #5540 (H,wt=14): 6175 K(x,y * K(x,z)) != u | K(x,y) = u. [para(6156(a,2),4413(a,1))]. given #5541 (H,wt=14): 6194 K(x * K(y,z),z) != u | K(x,z) = u. [para(6183(a,2),3880(a,1))]. given #5542 (H,wt=14): 6207 K(x * L(K(y,z),u,w),y) = K(x,y). [para(5886(a,1),6197(a,1,1,2))]. given #5543 (H,wt=14): 6211 K(R(K(x,y),z,u) * w,x) = K(w,x). [para(5668(a,1),6201(a,1,1,1))]. given #5544 (H,wt=14): 6213 K(K(x,y) * z,x) != u | K(z,x) = u. [para(6202(a,1),4566(a,1))]. given #5545 (H,wt=14): 6223 K(x,x * y) != z | K(x,y * x) = z. [para(95(a,1),6175(a,1,2))]. given #5546 (H,wt=14): 6224 K(x,y) != z | K(x,y * K(u,x)) = z. [para(3919(a,1),6175(a,1,2))]. given #5547 (H,wt=14): 6225 K(x,K(x,y) * z) != u | K(x,z) = u. [para(5345(a,1),6175(a,1,2))]. given #5548 (H,wt=14): 6228 K(K(x,y) \ z,x) != u | K(z,x) = u. [para(5369(a,1),6194(a,1,1))]. given #5549 (H,wt=14): 6234 K(x * (y / x),x) != z | K(y,x) = z. [para(4314(a,1),6213(a,1,1))]. given #5550 (H,wt=15): 6133 (x * T(y,z)) / T(x,y) = T(y,T(z,x)). [hyper(76,a,6095,a(flip),b,4542,a(flip))]. given #5551 (H,wt=15): 6134 T(K(x,y),z) * (z * x) = z * T(x,y). [para(5334(a,1),6095(a,1,1))]. given #5552 (H,wt=15): 6141 K(x,(x \ y) \ z) = K(x,y \ (x * z)). [hyper(20,a,5926,a,b,6126,a)]. given #5553 (H,wt=15): 6164 T(x,y * (z * x)) = T(x,y * (x * z)). [para(5943(a,1),6153(a,1,2)),flip(a)]. given #5554 (H,wt=15): 6185 T(K(x,y) * z,K(x,z)) = K(x,y) * z. [para(6179(a,1),2753(a,1,2))]. given #5555 (H,wt=15): 6187 K(x,K(K(x,y) * z,u)) = K(K(x,z),u). [para(6179(a,1),5954(a,1,1)),flip(a)]. given #5556 (H,wt=15): 6188 T(x,y \ (z / x)) = T(x,y \ (x \ z)). [para(115(a,1),6166(a,1,2,2)),flip(a)]. given #5557 (H,wt=15): 6214 K(K(x,y) * z,T(y,u)) = K(z,T(y,u)). [para(5396(a,1),6203(a,1,1,1))]. given #5558 (H,wt=15): 6219 K(T(x,T(y,z)) * u,y) = K(x * u,y). [para(4754(a,1),6200(a,1,1))]. given #5559 (H,wt=15): 6220 x * K(T(y,z) \ x,y) = (y \ x) * y. [para(6209(a,2),213(a,1,2))]. given #5560 (H,wt=15): 6230 K(x * (y * K(z,u)),z) = K(x * y,z). [para(102(a,1),6207(a,1,1))]. given #5561 (H,wt=15): 6231 K(x * (y * K(z,u)),u) = K(x * y,u). [para(5921(a,1),6207(a,1,1)),flip(a)]. given #5562 (H,wt=15): 6232 K((K(x,y) * z) * u,x) = K(z * u,x). [para(110(a,1),6211(a,1,1))]. given #5563 (H,wt=15): 6241 K(x,K(K(x,y) * z,u)) = K(x,K(z,u)). [hyper(189,a,5954,a(flip),b,6187,a)]. given #5564 (H,wt=15): 6247 K(x * (K(y,z) * u),y) = K(x * u,y). [para(5345(a,1),6230(a,1,1,2))]. given #5565 (H,wt=15): 6250 K((x / (x / y)) * z,y) = K(y * z,y). [para(4345(a,1),6232(a,1,1,1)),flip(a)]. given #5566 (H,wt=15): 6251 K(K(x,y) * z,K(x,u)) = K(x,K(z,u)). [hyper(5967,a,6241,a)]. given #5567 (H,wt=15): 6255 K(K(x,y) * z,K(x,u)) = K(z,K(x,u)). [hyper(189,a,5966,a,b,6251,a)]. given #5568 (H,wt=14): 6257 R(x,K(y,z) * u,K(u,K(y,w))) = x. [para(6255(a,1),5156(a,1,3))]. given #5569 (H,wt=15): 6256 K(K(x,y) * z,K(y,u)) = K(z,K(y,u)). [para(3887(a,1),6255(a,1,1)),flip(a)]. given #5570 (H,wt=15): 6259 K(x * K(y,z),K(y,u)) = K(x,K(y,u)). [para(6024(a,1),6255(a,1,1))]. given #5571 (H,wt=15): 6261 K(x,K(y,K(z,x) * u)) = K(u,K(x,y)). [hyper(6009,a,6256,a)]. given #5572 (H,wt=15): 6263 K(x,K(y,K(z,x) * u)) = K(x,K(y,u)). [hyper(189,a,5969,a,b,6261,a)]. given #5573 (H,wt=16): 5972 x * K(y,K(x,z)) != u | T(x,K(y,z)) = u. [para(5966(a,1),4399(a,1,2))]. given #5574 (H,wt=16): 5973 K(x,K(y,z)) * y != u | T(y,K(x,z)) = u. [para(5966(a,1),4404(a,1,1))]. given #5575 (H,wt=16): 6006 K(x * y,K(y,z)) != u | K(z,K(y,x)) = u. [para(5487(a,2),5963(a,1))]. given #5576 (H,wt=16): 6007 K(x,K(y,z)) != u | K(x,K(y,z * y)) = u. [para(5952(a,1),5963(a,1))]. given #5577 (H,wt=16): 6008 K(x * y,K(y,z)) != u | K(x,K(y,z)) = u. [para(5952(a,2),5963(a,1))]. given #5578 (H,wt=16): 6010 K(x,K(y,y * z)) != u | K(y,K(x,z)) = u. [para(5965(a,2),5967(a,1))]. given #5579 (H,wt=16): 6011 K(x,K(y,y \ z)) != u | K(y,K(z,x)) = u. [para(5995(a,2),6009(a,1))]. given #5580 (H,wt=16): 6016 T(x,K(y,y \ z)) != u | T(x,K(y,z)) = u. [para(6000(a,2),4399(a,1))]. given #5581 (H,wt=16): 6038 K((x * y) / x,z) != u | K(y,T(z,x)) = u. [para(6026(a,1),5415(a,1))]. given #5582 (H,wt=16): 6067 K(x / (x / y),z) != u | K(y,T(z,x)) = u. [para(6029(a,1),4628(a,1))]. given #5583 (H,wt=16): 6081 K(x,(y * z) / y) != u | K(T(x,y),z) = u. [para(6036(a,2),5430(a,1))]. given #5584 (H,wt=16): 6100 K(x \ y,T(z,y)) != u | K(y / x,z) = u. [para(5340(a,1),6079(a,1))]. given #5585 (H,wt=16): 6102 K(x \ y,T(z,x)) != u | K(y / x,z) = u. [para(5394(a,1),6079(a,1))]. given #5586 (H,wt=16): 6106 K(x / y,T(z,x)) != u | K(y \ x,z) = u. [para(6029(a,1),6079(a,1))]. given #5587 (H,wt=16): 6111 K(T(x,y),y \ z) != u | K(x,z / y) = u. [para(115(a,1),6101(a,1,2))]. given #5588 (H,wt=16): 6113 K(T(x,y),z \ y) != u | K(x,y / z) = u. [para(5332(a,1),6101(a,1))]. given #5589 (H,wt=16): 6227 K(x \ T(y,z),z) != u | K(x \ y,z) = u. [para(1077(a,1),6194(a,1,1))]. given #5590 (H,wt=16): 6265 K(x,K(y,x * z)) != u | K(x,K(y,z)) = u. [para(5966(a,1),6010(a,1))]. given #5591 (H,wt=16): 6266 K(x,K(x \ y,z)) != u | K(x,K(y,z)) = u. [para(5969(a,2),6011(a,1))]. given #5592 (H,wt=16): 6267 K(x * K(y,x),z) != u | K(x,T(z,y)) = u. [para(4375(a,1),6038(a,1,1))]. given #5593 (H,wt=16): 6271 K(x,y * K(z,y)) != u | K(T(x,z),y) = u. [para(4375(a,1),6081(a,1,2))]. given #5594 (H,wt=16): 6272 K(x,T(y,z)) != u | K(z / (z / x),y) = u. [para(69(a,1),6100(a,1,1))]. given #5595 (H,wt=16): 6274 T(K(x / y,z),x) != u | K(y \ x,z) = u. [para(5334(a,1),6106(a,1))]. given #5596 (H,wt=16): 6277 K(x,T(y \ z,z)) != u | K(x,z / y) = u. [para(5380(a,1),6113(a,1))]. given #5597 (H,wt=16): 6279 T(K(x,y),z) != u | K((x \ z) \ z,y) = u. [para(67(a,1),6274(a,1,1,1))]. given #5598 (H,wt=17): 5974 (K(x,K(y,z)) * u) / (y \ u) = T(y,K(x,z)). [para(5966(a,1),4550(a,1,1,1))]. given #5599 (H,wt=17): 5980 K(x,K(y,z)) * (z * K(y,x)) = K(y,x) * z. [para(5968(a,1),4373(a,1,1))]. given #5600 (H,wt=17): 5985 K(x,K(y,z)) * (z * u) = T(z,K(x,y)) * u. [para(5969(a,2),4407(a,1,1))]. given #5601 (H,wt=17): 5986 (K(x,K(y,z)) * u) / (y \ u) = T(y,K(z,x)). [para(5969(a,1),4550(a,1,1,1))]. given #5602 (H,wt=17): 5993 T(x,K(y,z)) * K(z,x) = x * T(K(z,x),y). [para(5961(a,1),5146(a,1,1)),flip(a)]. given #5603 (H,wt=17): 5997 x * K(y,K(x,x * z)) = T(x,K(y,z * x)). [para(4576(a,1),5970(a,1,2,2))]. given #5604 (H,wt=15): 6284 T(x,K(y,z * x)) = T(x,K(y,x * z)). [hyper(5972,a,5997,a),flip(a)]. given #5605 (H,wt=17): 6037 K(x,R(T(T(y,z),z),u,w)) = K(x,R(y,u,w)). [para(635(a,2),6026(a,1,2))]. given #5606 (H,wt=17): 6040 K(L(T(x,y),z,u),T(w,y)) = K(L(x,z,u),w). [para(43(a,2),6027(a,1,1))]. given #5607 (H,wt=17): 6042 K(x,(T(y,z) * z) / T(y,z)) = K(T(x,y),z). [para(3591(a,1),6027(a,1,2)),flip(a)]. given #5608 (H,wt=13): 6289 K(T(x,T(y,z)),z) = K(T(x,y),z). [hyper(6081,a,6042,a)]. given #5609 (H,wt=17): 6049 T(x * K(T(y,z),x),z) = K(y,x) * T(x,z). [para(6027(a,1),4656(a,1,1)),flip(a)]. given #5610 (H,wt=17): 6064 K(x \ (y * z),T(y,z)) = K((y * z) / x,y). [hyper(5499,a,6029,a)]. given #5611 (H,wt=17): 6074 K(x * T(x \ y,y),z) = K(y,T(z,x \ y)). [para(1464(a,1),6034(a,1,1))]. given #5612 (H,wt=17): 6075 K(x \ T(x * y,y),z) = K(y,T(z,x * y)). [para(3338(a,1),6034(a,1,1))]. given #5613 (H,wt=17): 6089 K(x,y * K(z * y,y)) = K(T(x,y * z),y). [para(4617(a,2),6047(a,1,2,2))]. given #5614 (H,wt=15): 6297 K(T(x,y * z),z) = K(T(x,z * y),z). [hyper(6271,a,6089,a)]. given #5615 (H,wt=17): 6099 K(x / (x / y),T(z,u)) = K(y,T(T(z,x),u)). [para(41(a,1),6065(a,2,2))]. given #5616 (H,wt=17): 6103 K(x,T(y,R(T(x,z),u,w))) != v5 | K(x,y) = v5. [para(5399(a,1),6079(a,1))]. given #5617 (H,wt=17): 6114 K(x,((y * z) / y) \ 1) = T(K(x,z \ 1),y). [para(5261(a,1),6030(a,1,1)),flip(a)]. given #5618 (H,wt=15): 6300 T(K(x,y \ 1),z) = K(x,y \ K(y,z)). [para(4497(a,1),6114(a,1,2)),flip(a)]. given #5619 (H,wt=17): 6127 x * (y * K(x,T(y,z))) = T(x,T(y,z)) * y. [para(124(a,1),6061(a,1,1,2)),flip(a)]. given #5620 (H,wt=17): 6132 x * (K(y,x) * T(y,z)) = T(y,T(z,x)) * x. [para(6094(a,1),158(a,1,2))]. given #5621 (H,wt=17): 6135 T(x * T(y,z),K(y,z)) = K(y,z) * (x * y). [para(5158(a,1),6122(a,1,2)),flip(a)]. given #5622 (H,wt=17): 6144 (x * (y * K(x,z))) * x = (x * y) * T(x,z). [para(6126(a,1),5132(a,1,1))]. given #5623 (H,wt=17): 6221 T(x * K(x \ y,x),z) \ y = y / T(x,z). [para(6209(a,1),4795(a,1,1,1,2))]. given #5624 (H,wt=15): 6304 T(x / (x / y),z) \ x = x / T(y,z). [para(4318(a,2),6221(a,1,1,1))]. given #5625 (H,wt=15): 6305 x / T(y \ x,z) = T(x / y,z) \ x. [para(4331(a,1),6221(a,1,1,1)),flip(a)]. given #5626 (H,wt=15): 6307 x / (x / T(y,z)) = T(x / (x / y),z). [para(6304(a,1),67(a,1,2))]. given #5627 (H,wt=15): 6309 (T(x / y,z) \ x) \ x = T(y \ x,z). [para(6305(a,1),69(a,1,1))]. given #5628 (H,wt=15): 6314 (T(x,y) \ z) \ z = T((x \ z) \ z,y). [para(67(a,1),6309(a,1,1,1,1))]. given #5629 (H,wt=15): 6316 T(T(x,y),x \ z) = (T(x,y) \ z) \ z. [hyper(189,a,221,a,b,6314,a),flip(a)]. given #5630 (H,wt=17): 6239 T(x,K(y,z)) * T(y,z) = K(y,z) * (x * y). [hyper(4008,a,6134,a),flip(a)]. given #5631 (H,wt=13): 6319 T(T(x,K(y,z)),T(y,z)) = T(x,y). [hyper(147,a,6239,a,b,4542,a(flip))]. given #5632 (H,wt=13): 6321 T(T(x,K(y,z)),y) = T(x,T(y,z)). [para(6117(a,1),6319(a,1,1)),flip(a)]. given #5633 (H,wt=13): 6323 T(T(x,y),K(y,z)) = T(x,T(y,z)). [hyper(333,a,6321,a)]. given #5634 (H,wt=13): 6326 T(T(x,y),K(z,y)) = T(x,T(y,z)). [hyper(6121,a,6323,a)]. given #5635 (H,wt=13): 6327 K(x,T(y,T(z,x))) = K(x,T(y,z)). [para(6323(a,1),5342(a,1,2))]. given #5636 (H,wt=13): 6328 T(x,T(y,T(z,x))) = T(x,T(y,z)). [para(6323(a,1),5378(a,1,2))]. given #5637 (H,wt=15): 6322 T(x * K(y,x),T(y,z)) = T(x,K(y,z)). [hyper(4486,a,6321,a),flip(a)]. given #5638 (H,wt=15): 6329 T(x,T(y,z / x)) = T(x,T(y,x \ z)). [para(115(a,1),6328(a,1,2,2)),flip(a)]. given #5639 (H,wt=16): 6324 T(x,T(y,z)) != u | T(T(x,y),K(y,z)) = u. [para(6321(a,1),333(a,1))]. given #5640 (H,wt=16): 6330 T(T(x,K(y,z)),y) != u | T(x,T(y,z)) = u. [para(6322(a,1),4486(a,1,1))]. given #5641 (H,wt=16): 6331 T(T(x,y),K(y,z)) != u | T(x,T(y,z)) = u. [para(41(a,1),6330(a,1))]. given #5642 (H,wt=17): 6243 K(T(x,y) * z,T(x,u)) = K(x * z,T(x,u)). [para(4383(a,1),6214(a,1,1)),flip(a)]. given #5643 (H,wt=17): 6244 K(T(x,y) \ z,T(y,u)) = K(x \ z,T(y,u)). [para(4541(a,1),6214(a,1,1)),flip(a)]. given #5644 (H,wt=17): 6246 T(x,y) * T(T(x,y) \ z,x) = (x \ z) * x. [hyper(5174,a,6220,a)]. given #5645 (H,wt=17): 6248 K(x * (y \ T(z,u)),u) = K(x * (y \ z),u). [para(1077(a,1),6231(a,1,1,2))]. given #5646 (H,wt=17): 6264 K(x,K(y,T(x,z) * u)) = K(x,K(y,x * u)). [para(4383(a,1),6263(a,1,2,2)),flip(a)]. given #5647 (H,wt=15): 6334 K(x,K(y,T(x,z) * u)) = K(x,K(y,u)). [hyper(189,a,5998,a(flip),b,6264,a)]. given #5648 (H,wt=17): 6280 K(x,K(y,z)) * (z / K(x,y)) = K(y,x) * z. [para(3890(a,2),5980(a,1,2))]. given #5649 (H,wt=17): 6301 x * T(T(y,z),T(x,z)) = T(y,T(z,x)) * x. [para(6032(a,2),6132(a,1,2))]. given #5650 (H,wt=17): 6333 (x \ (y * T(x,z))) * x = T(y,x) * T(x,z). [hyper(571,a,6246,a),flip(a)]. given #5651 (H,wt=15): 6338 K(x,y) * T(K(x,y) \ z,y) = T(z,y). [hyper(5104,a,6333,a)]. given #5652 (H,wt=15): 6339 x \ (y * T(x,z)) = T(y,x) * K(x,z). [hyper(21,a,5132,a,b,6333,a)]. given #5653 (H,wt=15): 6342 T(K(x,y) * z,x) = K(x,y) * T(z,x). [para(6338(a,1),4968(a,1,2)),flip(a)]. given #5654 (H,wt=15): 6344 T(x * K(y,z),y) = T(x,y) * K(y,z). [hyper(5145,a,6339,a)]. given #5655 (H,wt=17): 6351 (T(x,y) / y) * T(y,z) = T(x * K(y,z),y). [hyper(189,a,5140,a,b,6344,a),flip(a)]. given #5656 (H,wt=17): 6352 x \ T(x * K(y,z),y) = K(x,y) * K(y,z). [hyper(75,a,6344,a,b,4376,a)]. given #5657 (H,wt=18): 5990 K(x,K(y,z)) * u != w | K(x,K(y,z)) * w = u. [para(5979(a,1),3907(a,1,1))]. given #5658 (H,wt=18): 6013 T(K(x,y),z) != K(x,y) * u | K(x,K(y,z)) = u. [para(5958(a,1),22(a,1))]. given #5659 (H,wt=18): 6020 K(x,T(y,z)) != K(x,y) * u | K(x,K(y,z)) = u. [para(6012(a,1),22(a,1))]. given #5660 (H,wt=18): 6062 (x * K(y,z)) / (y \ x) != u | T(y,T(z,x)) = u. [para(6024(a,1),4555(a,1,1))]. given #5661 (H,wt=18): 6068 K(x / y,x / z) != u | K(y \ x,z \ x) = u. [para(6029(a,1),5325(a,1))]. given #5662 (H,wt=18): 6098 T(K(x,y),z) != K(x,y) * u | K(z,K(x,y)) = u. [para(6053(a,1),4481(a,1))]. given #5663 (H,wt=18): 6104 K(x * y,T(z,y * x)) != u | K(x * y,z) = u. [para(5419(a,1),6079(a,1))]. given #5664 (H,wt=18): 6107 K(T(x,y),T(T(z,y),u)) != w | K(x,T(z,u)) = w. [para(41(a,1),6101(a,1,2))]. given #5665 (H,wt=18): 6123 T(K(x,y) * z,K(y,x)) != u | z * K(x,y) = u. [para(6118(a,1),4237(a,1))]. given #5666 (H,wt=18): 6129 K(x \ y,z) \ (y * K(y / x,z)) != u | u = y. [para(6063(a,1),237(a,1,2))]. given #5667 (H,wt=18): 6143 (x * y) * z != x * (y * K(x,u)) | K(x,u) = z. [para(6126(a,1),22(a,1)),flip(a)]. given #5668 (H,wt=18): 6212 L(K(x,y),K(y,z) * x,u) = K(K(y,z) * x,y). [para(6201(a,1),5897(a,1,1))]. given #5669 (H,wt=16): 6357 K(L(x,K(y,z),u),y) = K(K(y,z) * x,y). [hyper(189,a,5541,a(flip),b,6212,a(flip)),flip(a)]. given #5670 (H,wt=12): 6358 K(L(x,K(y,z),u),y) = K(x,y). [hyper(189,a,6201,a(flip),b,6357,a)]. given #5671 (H,wt=18): 6226 K(x,y / (x \ z)) != u | K(x,y / (z / x)) = u. [para(5447(a,1),6175(a,1,2))]. given #5672 (H,wt=18): 6229 K(x * (y \ z),y) != u | K(x * (z / y),y) = u. [para(5453(a,1),6194(a,1,1))]. given #5673 (H,wt=18): 6233 K(R(K(x,y),z,u) * w,T(x,v5)) = K(w,T(x,v5)). [para(6027(a,1),6211(a,1,1,1,1))]. given #5674 (H,wt=18): 6235 K((x \ y) \ z,x) != u | K((y / x) \ z,x) = u. [para(4707(a,1),6213(a,1,1))]. given #5675 (H,wt=18): 6236 K(x,(x \ y) \ z) != u | K(x,(y / x) \ z) = u. [para(4707(a,1),6225(a,1,2))]. given #5676 (H,wt=15): 6362 K(x,(y / x) \ z) = K(x,y \ (x * z)). [hyper(6236,a,6141,a)]. given #5677 (H,wt=18): 6258 K(K(x,y) * z,K(x,u)) != w | K(x,K(z,u)) = w. [para(6255(a,2),5967(a,1))]. given #5678 (H,wt=18): 6278 K(x \ (y \ (z * y)),y) != u | K(x \ z,y) = u. [para(35(a,1),6227(a,1,1,2))]. given #5679 (H,wt=15): 6363 K(x \ (y \ (z * y)),y) = K(x \ z,y). [hyper(6278,a,xx),flip(a)]. given #5680 (H,wt=18): 6318 K(T(T(x,y),x \ 1),z) != u | K(T(x,y),z) = u. [para(6316(a,2),2659(a,1,1))]. given #5681 (H,wt=18): 6325 T(x * K(y,x),T(y,z)) != u | T(x,K(y,z)) = u. [para(6321(a,1),4486(a,1))]. given #5682 (H,wt=18): 6332 K(T(x,y) \ z,T(y,x)) != u | K(z / x,y) = u. [para(6244(a,2),6102(a,1))]. given #5683 (H,wt=18): 6361 K(K(R(x,y,z),u) * w,T(x,v5)) = K(w,T(x,v5)). [para(5746(a,1),6233(a,1,1,1))]. given #5684 (H,wt=19): 5962 (K(x,K(y,z)) * u) / (K(x,y) \ u) = T(K(x,y),z). [para(5954(a,1),4550(a,1,1,1))]. given #5685 (H,wt=19): 5964 (x * K(y,z)) * K(y,K(z,u)) = x * T(K(y,z),u). [para(5954(a,1),5139(a,1,2))]. given #5686 (H,wt=19): 5975 K(x,y) * T(x,K(z,u)) = T(x,y) * K(z,K(x,u)). [para(5966(a,1),4557(a,2,2))]. given #5687 (H,wt=19): 5996 K(x,K(y,z)) * K(y * z,y) = K(y * z,T(y,x)). [para(5965(a,1),5338(a,1,1))]. given #5688 (H,wt=19): 6002 K(x \ y,x) * K(x,K(y,z)) = T(K(x \ y,x),z). [para(5999(a,1),4595(a,1,2))]. given #5689 (H,wt=19): 6014 K(x,K(y,z)) * K(x * y,x) = K(x * y,T(x,z)). [para(6003(a,1),5987(a,1,1))]. given #5690 (H,wt=19): 6043 K(T(x / (x / y),z),u) = K(T(y,z),T(u,y \ x)). [para(3586(a,1),6027(a,1,1)),flip(a)]. given #5691 (H,wt=19): 6054 L(T(K(x,y),z),u,w) * z = z * L(K(x,y),u,w). [para(6031(a,1),159(a,1,2,1)),flip(a)]. given #5692 (H,wt=19): 6055 L(T(K(x,y),z),u,w) \ (z * L(K(x,y),u,w)) = z. [para(6031(a,1),179(a,1,2,2,1))]. given #5693 (H,wt=17): 6369 T(T(x,L(K(y,z),u,w)),L(K(y,z),u,w)) = x. [hyper(4023,a,6055,a)]. given #5694 (H,wt=19): 6057 K(x * y,y * K(y \ 1,x)) = K(y \ 1,T(x,y)). [hyper(4871,a,6022,a)]. given #5695 (H,wt=17): 6371 K(x * y,y * K(y \ 1,x)) = K(y \ 1,x). [hyper(189,a,5343,a(flip),b,6057,a)]. given #5696 (H,wt=19): 6070 K(x / y,y * K(z,u)) = K(y \ x,K(z,u) * y). [hyper(189,a,5336,a(flip),b,6033,a(flip))]. given #5697 (H,wt=19): 6076 ((x * y) / x) * K(y,T(z,x)) = T((x * y) / x,z). [para(6034(a,1),4396(a,2,2)),flip(a)]. given #5698 (H,wt=17): 6373 K(x,y) * T(y,T(z,x)) = T((x * y) / x,z). [hyper(5312,a,6076,a)]. given #5699 (H,wt=17): 6374 K(x,y) * T((y * x) / y,z) = T(x,T(z,y)). [hyper(3907,a,6373,a)]. given #5700 (H,wt=17): 6375 K(x,y) * T(x * K(y,x),z) = T(x,T(z,y)). [para(4375(a,1),6374(a,1,2,1))]. given #5701 (H,wt=17): 6376 K(x,y) \ T(x,T(z,y)) = T(x * K(y,x),z). [hyper(80,a,6375,a)]. given #5702 (H,wt=19): 6077 K(R(x * K(y,x),z,u),w) = K(R(x,z,u),T(w,y)). [para(4489(a,2),6034(a,1,1))]. given #5703 (H,wt=19): 6080 K(R(T(x,y),z,u),y \ w) = K(R(x,z,u),w / y). [hyper(189,a,5393,a,b,6035,a(flip)),flip(a)]. given #5704 (H,wt=19): 6090 T(x,T(y,z * K(u,z))) = T(x,y * K(T(y,u),z)). [para(6047(a,1),4734(a,1,2,2)),flip(a)]. given #5705 (H,wt=19): 6097 K(K(x,y) * z,u) * z = z * K(z * K(x,y),u). [para(5410(a,1),6051(a,1,1))]. given #5706 (H,wt=19): 6120 T(x * K(y,z),u) / x = x \ T(K(y,z) * x,u). [para(6056(a,1),4170(a,1,2,1)),flip(a)]. given #5707 (H,wt=19): 6151 (x * y) * K(T(x,z),u) = x * (y * K(T(x,z),u)). [para(6150(a,1),110(a,1,1)),flip(a)]. given #5708 (H,wt=19): 6167 T((x \ y) * x,z * K(u,y)) = (x \ T(y,z)) * x. [para(6159(a,1),4153(a,2,1,2))]. given #5709 (H,wt=19): 6215 K(x / y,(x / y) \ z) = K(x / y,(y \ x) \ z). [para(115(a,1),6186(a,1,2,1)),flip(a)]. given #5710 (H,wt=19): 6217 K(x * K(y / z,u),y) = K(x * K(z \ y,u),y). [para(5210(a,1),6195(a,1,1,2)),flip(a)]. given #5711 (H,wt=19): 6237 ((x / y) * T(y,z)) / (y \ x) = T(y,T(z,x / y)). [para(115(a,1),6133(a,1,2))]. given #5712 (H,wt=17): 6387 (x * K(y,z)) / (y \ x) = T(y,T(z,x / y)). [para(5140(a,1),6237(a,1,1))]. given #5713 (H,wt=13): 6388 T(x,T(y,z / x)) = T(x,T(y,z)). [hyper(6062,a,6387,a),flip(a)]. given #5714 (H,wt=13): 6389 T(x,T(y,x \ z)) = T(x,T(y,z)). [hyper(189,a,6329,a(flip),b,6388,a(flip)),flip(a)]. given #5715 (H,wt=13): 6390 T(x,T(y,z * x)) = T(x,T(y,z)). [para(18(a,1),6388(a,1,2,2)),flip(a)]. given #5716 (H,wt=13): 6394 T(x / y,T(x,y)) = T(x / y,x). [para(3780(a,1),6390(a,1,2)),flip(a)]. given #5717 (H,wt=15): 6391 T(x \ y,T(z,y)) = T(x \ y,T(z,x)). [para(67(a,1),6388(a,1,2,2)),flip(a)]. given #5718 (H,wt=13): 6396 T(x \ y,T(y,x)) = T(x \ y,y). [para(112(a,1),6391(a,1,2)),flip(a)]. given #5719 (H,wt=17): 6392 T(x * y,T(z,y \ 1)) = T(x * y,T(z,x)). [para(5472(a,1),6389(a,1,2))]. given #5720 (H,wt=17): 6393 T(x,T(y / (z * x),z)) = T(x,(z * x) \ y). [para(115(a,1),6390(a,1,2)),flip(a)]. given #5721 (H,wt=19): 6238 (x * ((y \ z) \ z)) / T(x,y) = T(y,T(y \ z,x)). [para(114(a,1),6133(a,1,1,2))]. given #5722 (H,wt=19): 6262 K(K(x,y) * (K(y,z) * u),K(y,w)) = K(y,K(u,w)). [hyper(189,a,6251,a(flip),b,6256,a)]. given #5723 (H,wt=19): 6286 K(x,R(y * K(z,y),u,w)) = K(x,R(T(y,z),u,w)). [para(4374(a,1),6037(a,1,2,1,1)),flip(a)]. given #5724 (H,wt=19): 6290 K(R(T(x,T(y,z)),u,w),z) = K(T(R(x,u,w),y),z). [para(45(a,2),6289(a,1,1))]. given #5725 (H,wt=19): 6337 T(x * K(y,x),T(y,z)) * z = z * T(x,T(z,y)). [para(4374(a,1),6301(a,1,2,1)),flip(a)]. given #5726 (H,wt=19): 6348 T(K(x,y) * T(z,u),x) = K(x,y) * T(T(z,x),u). [para(41(a,1),6342(a,2,2))]. given #5727 (H,wt=17): 6403 T(K(x,y) * T(y,z),x) = y * K(T(y,x),z). [hyper(189,a,4562,a(flip),b,6348,a)]. given #5728 (H,wt=19): 6355 x \ T(y * (x / y),y) = K(x,y) * K(y,y \ x). [para(3903(a,1),6352(a,1,2,1))]. given #5729 (H,wt=19): 6356 T(K(x * y,x) * z,K(x,y)) = z * K(x * y,x). [hyper(6123,a,6018,a),flip(a)]. given #5730 (H,wt=19): 6360 K((x * K(y,z)) \ u,y) = K(K(y,z) \ (x \ u),y). [para(183(a,1),6358(a,1,1))]. given #5731 (H,wt=15): 6406 K((x * K(y,z)) \ u,y) = K(x \ u,y). [hyper(189,a,6202,a(flip),b,6360,a)]. given #5732 (H,wt=15): 6408 K((x * K(y,z)) \ u,z) = K(x \ u,z). [para(3919(a,1),6406(a,1,1,1)),flip(a)]. given #5733 (H,wt=15): 6409 K((K(x,y) * z) \ u,y) = K(z \ u,y). [para(5348(a,1),6406(a,1,1,1)),flip(a)]. given #5734 (H,wt=13): 6415 K(x \ K(y,z),y) = K(x \ 1,y). [hyper(5469,a,6409,a)]. given #5735 (H,wt=15): 6414 K(T(x,T(y,z)) \ u,y) = K(x \ u,y). [para(5388(a,1),6408(a,1,1,1))]. given #5736 (H,wt=16): 6417 K(x \ L(K(y,z),u,w),y) = K(x \ 1,y). [para(5886(a,1),6415(a,1,1,2))]. given #5737 (H,wt=18): 6413 K((x * L(K(y,z),u,w)) \ v5,z) = K(x \ v5,z). [para(4829(a,1),6408(a,1,1,1,2))]. given #5738 (H,wt=19): 6365 (x * K(y,z)) * T(K(z,y),u) = x * K(z,K(y,u)). [para(3919(a,1),5964(a,1,1)),flip(a)]. given #5739 (H,wt=19): 6367 K(x * y,x) * K(x,K(y,z)) = K(x * y,T(x,z)). [hyper(1962,a,6014,a)]. given #5740 (H,wt=19): 6383 K(T(x,y),(x \ z) \ u) = K(T(x,y),z \ (x * u)). [hyper(20,a,5926,a,b,6151,a)]. given #5741 (H,wt=19): 6384 T((x \ y) * x,z * K(u,y)) = T((x \ y) * x,z). [hyper(189,a,4153,a,b,6167,a)]. given #5742 (H,wt=19): 6401 K(R(T(x,T(y,z)),u,w),z) = K(R(T(x,y),u,w),z). [para(45(a,2),6290(a,2,1))]. given #5743 (H,wt=19): 6402 T(x * K(y,x),T(y,z)) = T(x * K(z,x),T(z,y)). [hyper(21,a,4423,a,b,6337,a)]. given #5744 (H,wt=19): 6410 K((x * K(y,z)) \ u,T(y,w)) = K(x \ u,T(y,w)). [para(6027(a,1),6406(a,1,1,1,2))]. given #5745 (H,wt=19): 6411 K(x,(y * K(z,x)) \ u) = (w * K(y \ u,x)) \ w. [para(6408(a,1),3918(a,1,1,2)),flip(a)]. given #5746 (H,wt=15): 6422 K(x,(y * K(z,x)) \ u) = K(x,y \ u). [hyper(189,a,3918,a(flip),b,6411,a)]. given #5747 (H,wt=15): 6424 K(x,(K(x,y) * z) \ u) = K(x,z \ u). [para(5365(a,1),6422(a,1,2,1)),flip(a)]. given #5748 (H,wt=17): 6425 T(x,(K(x,y) * z) \ u) = x * K(x,z \ u). [para(6424(a,1),4396(a,2,2))]. given #5749 (H,wt=15): 6426 T(x,(K(x,y) * z) \ u) = T(x,z \ u). [hyper(189,a,4396,a,b,6425,a)]. given #5750 (H,wt=15): 6428 T(x,(K(y,x) * z) \ u) = T(x,z \ u). [para(3887(a,1),6426(a,1,2,1)),flip(a)]. given #5751 (H,wt=18): 6423 K(x,(y * K(z,x)) \ u) != w | K(x,y \ u) = w. [para(6411(a,2),3922(a,1))]. given #5752 (H,wt=19): 6419 K((x * (y * K(z,u))) \ w,z) = K((x * y) \ w,z). [para(5921(a,1),6413(a,1,1,1)),flip(a)]. given #5753 (H,wt=20): 5977 (K(x,K(y,z)) * u) / (y \ u) != w | T(y,K(x,z)) = w. [para(5966(a,1),4555(a,1,1,1))]. given #5754 (H,wt=20): 6084 K(x,(x \ y) / z) != u | K(T(x,y),z \ (x \ y)) = u. [para(6039(a,1),5434(a,1))]. given #5755 (H,wt=20): 6105 K(R(T(x,y),z,u),T(w,y)) != v5 | K(R(x,z,u),w) = v5. [para(5393(a,2),6079(a,1))]. given #5756 (H,wt=20): 6108 K(L(T(x,y),z,u),T(w,y)) != v5 | K(L(x,z,u),w) = v5. [para(43(a,2),6101(a,1,1))]. given #5757 (H,wt=20): 6109 K(T(x,y),L(T(z,y),u,w)) != v5 | K(x,L(z,u,w)) = v5. [para(43(a,2),6101(a,1,2))]. given #5758 (H,wt=20): 6110 K(T(x,y),R(T(z,y),u,w)) != v5 | K(x,R(z,u,w)) = v5. [para(45(a,2),6101(a,1,2))]. given #5759 (H,wt=20): 6218 T(T(x * K(y * T(x,z),x),u),y) = R(T(x,u),y,x). [para(6199(a,2),4910(a,1,1,1,2))]. given #5760 (H,wt=15): 6434 R(T(x,y),z,T(x,u)) = R(T(x,y),z,x). [hyper(189,a,5057,a(flip),b,6218,a(flip)),flip(a)]. given #5761 (H,wt=18): 6438 T(T(x,y) * z,T(x,y)) = z * R(T(x,y),z,x). [para(6434(a,1),3668(a,1,2)),flip(a)]. given #5762 (H,wt=20): 6268 K(T(x * K(y,x),z),u) != w | K(T(x,z),T(u,y)) = w. [para(4424(a,2),6038(a,1,1))]. given #5763 (H,wt=20): 6276 K(T(x,y),(x \ y) \ z) != u | K(x,z / (x \ y)) = u. [para(5381(a,1),6111(a,1))]. given #5764 (H,wt=17): 6440 K(T(x,y),y \ (x * z)) = K(x,z / (x \ y)). [hyper(6276,a,6383,a),flip(a)]. given #5765 (H,wt=15): 6441 K(x,(x * y) / z) = K(x,y / (x \ z)). [hyper(6111,a,6440,a)]. given #5766 (H,wt=15): 6442 K(x,y / (x \ z)) = K(x,(z / y) \ x). [hyper(5687,a,6441,a),flip(a)]. given #5767 (H,wt=15): 6443 K(x,(x \ y) / (x \ z)) = K(x,y / z). [para(17(a,1),6441(a,1,2,1)),flip(a)]. given #5768 (H,wt=15): 6444 K(x,((x * y) / z) \ x) = K(x,z / y). [para(16(a,1),6442(a,1,2,2)),flip(a)]. given #5769 (H,wt=15): 6445 K(x,(x \ y) / (z / x)) = K(x,y / z). [hyper(6226,a,6443,a)]. given #5770 (H,wt=15): 6448 K(x,(x \ y) / z) = K(x,y / (z * x)). [para(18(a,1),6445(a,1,2,2))]. given #5771 (H,wt=17): 6449 K(T(x,y),z \ (x \ y)) = K(x,y / (z * x)). [hyper(6084,a,6448,a)]. given #5772 (H,wt=19): 6450 (x * K(y,z / (u * y))) \ x = K((y \ z) / u,y). [para(6448(a,1),3918(a,1,1,2))]. given #5773 (H,wt=18): 6451 K((x \ y) / z,x) != u | K(y / (z * x),x) = u. [para(6450(a,1),3922(a,1))]. given #5774 (H,wt=20): 6283 x * T(K(y,x),z) != u * K(y,x) | T(x,K(z,y)) = u. [para(5993(a,1),23(a,1))]. given #5775 (H,wt=20): 6294 K(x \ (y * z),T(y,z)) != u | K((x / z) \ y,y) = u. [para(6064(a,2),5764(a,1))]. given #5776 (H,wt=20): 6313 K(T(x / (x / y),z),u) != w | K(T(y,z),T(u,x)) = w. [para(6307(a,1),6067(a,1,1))]. given #5777 (H,wt=17): 6452 K(T(x,y),T(z,x \ u)) = K(T(x,y),T(z,u)). [hyper(6313,a,6043,a),flip(a)]. given #5778 (H,wt=17): 6453 K(T(x,y),T(z,x * u)) = K(T(x,y),T(z,u)). [para(16(a,1),6452(a,1,2,2)),flip(a)]. given #5779 (H,wt=20): 6378 K(x,y) * T(x * K(y,x),z) != u | T(x,T(z,y)) = u. [para(6376(a,1),203(a,1,2)),flip(b)]. given #5780 (H,wt=20): 6416 K(L(x \ y,x,K(z,u)),u) = K(x \ (K(z,u) * y),u). [para(104(a,2),6409(a,1,1))]. given #5781 (H,wt=21): 5959 K(K(L(x \ 1,y,z) \ 1,u),w) = L(K(x,K(u,w)),y,z). [hyper(189,a,4829,a(flip),b,5954,a)]. given #5782 (H,wt=17): 6454 L(K(x,K(y,z)),u,w) = K(L(K(x,y),u,w),z). [para(4829(a,1),5959(a,1,1)),flip(a)]. given #5783 (H,wt=21): 5960 K(K(R(x \ 1,y,z) \ 1,u),w) = R(K(x,K(u,w)),y,z). [hyper(189,a,4820,a(flip),b,5954,a)]. given #5784 (H,wt=17): 6455 R(K(x,K(y,z)),u,w) = K(R(K(x,y),u,w),z). [para(4820(a,1),5960(a,1,1)),flip(a)]. given #5785 (H,wt=21): 5981 K(x,K(R(y \ 1,z,u) \ 1,w)) = K(R(K(y,x),z,u),w). [para(4820(a,1),5968(a,1,1)),flip(a)]. given #5786 (H,wt=17): 6456 K(R(K(x,y),z,u),w) = K(y,R(K(x,w),z,u)). [para(4820(a,1),5981(a,1,2)),flip(a)]. given #5787 (H,wt=17): 6457 R(K(x,K(y,z)),u,w) = K(y,R(K(x,z),u,w)). [hyper(189,a,6455,a,b,6456,a(flip)),flip(a)]. given #5788 (H,wt=17): 6458 R(K(x,K(y,z)),u,w) = K(x,R(K(y,z),u,w)). [para(5966(a,1),6457(a,1,1))]. given #5789 (H,wt=14): 6459 R(K(x,K(y,z)),y,u) = K(x,K(y,z)). [para(3705(a,1),6458(a,2,2))]. given #5790 (H,wt=21): 5982 K(x,K(L(y \ 1,z,u) \ 1,w)) = K(L(K(y,x),z,u),w). [para(4829(a,1),5968(a,1,1)),flip(a)]. given #5791 (H,wt=17): 6461 K(L(K(x,y),z,u),w) = K(y,L(K(x,w),z,u)). [para(4829(a,1),5982(a,1,2)),flip(a)]. given #5792 (H,wt=21): 6017 K(x \ y,x) * (z / (x \ y)) = T(z / (y / x),K(x,y)). [hyper(5450,a,6015,a)]. given #5793 (H,wt=21): 6082 K(T(x \ 1,y),z \ (x * y)) = K(x \ 1,(x * y) / z). [hyper(5438,a,6039,a)]. given #5794 (H,wt=21): 6147 (L(x,y,z) * u) * K(x,w) = L(x,y,z) * (u * K(x,w)). [para(6140(a,1),381(a,1,1,1)),flip(a)]. given #5795 (H,wt=13): 6463 L(K(x,y),z,L(x,u,w)) = K(x,y). [hyper(5798,a,6147,a)]. given #5796 (H,wt=13): 6464 K(L(x,y,L(x,z,u)),w) = K(x,w). [hyper(189,a,5541,a(flip),b,6463,a(flip)),flip(a)]. given #5797 (H,wt=10): 6465 K(L(x,y,x),z) = K(x,z). [para(262(a,1),6464(a,1,1,3))]. given #5798 (H,wt=10): 6466 K(R(x,y,x),z) = K(x,z). [para(4028(a,1),6465(a,1,1)),flip(a)]. given #5799 (H,wt=10): 6468 R(K(x,y),z,x) = K(x,y). [hyper(189,a,5749,a(flip),b,6466,a(flip)),flip(a)]. given #5800 (H,wt=10): 6475 K(x,R(y,z,x)) = K(x,y). [hyper(189,a,5683,a(flip),b,6468,a(flip)),flip(a)]. given #5801 (H,wt=12): 6470 K(x,R(y,z,y)) = 1 / K(y,x). [para(6466(a,1),3875(a,1,2)),flip(a)]. given #5802 (H,wt=10): 6479 K(x,R(y,z,y)) = K(x,y). [hyper(189,a,3875,a(flip),b,6470,a)]. given #5803 (H,wt=12): 6471 x * K(R(x,y,x),z) = T(x,z). [para(6466(a,2),4396(a,2,2)),flip(a)]. given #5804 (H,wt=12): 6477 T(x,R(y,z,x)) = x * K(x,y). [para(6475(a,1),4396(a,2,2))]. given #5805 (H,wt=10): 6482 T(x,R(y,z,x)) = T(x,y). [hyper(189,a,4396,a,b,6477,a)]. given #5806 (H,wt=13): 6469 K((x \ y) \ T(y,x),z) = K(x,z). [para(3670(a,1),6466(a,1,1))]. given #5807 (H,wt=13): 6480 K(x,R(y,z,y)) != u | K(x,y) = u. [para(6470(a,2),3880(a,1))]. given #5808 (H,wt=14): 6474 R(K(x,y),z,x) = K(x,y * K(u,x)). [hyper(189,a,6177,a,b,6468,a)]. given #5809 (H,wt=14): 6481 K(x,R(T(y,z),u,y)) = K(x,T(y,z)). [para(6434(a,1),6479(a,1,2))]. given #5810 (H,wt=14): 6490 K(x,y * K(z,x)) != u | K(x,y) = u. [para(6474(a,1),273(a,1)),flip(b)]. given #5811 (H,wt=14): 6491 K(x,T(R(y,z,y),u)) = K(x,T(y,u)). [para(45(a,1),6481(a,1,2))]. given #5812 (H,wt=15): 6467 K(x,y) * L(x,z,x) = L(T(x,y),z,x). [para(6465(a,1),4446(a,1,1))]. given #5813 (H,wt=15): 6472 K(x,y) * R(x,z,x) = T(R(x,z,x),y). [para(6466(a,1),4403(a,2,1)),flip(a)]. given #5814 (H,wt=15): 6473 x * K(R(x,y,x),z) != u | T(x,z) = u. [para(6466(a,2),4399(a,1,2))]. given #5815 (H,wt=15): 6476 (K(x,y) * z) * x = K(x,y) * (z * x). [para(6468(a,1),110(a,1,1)),flip(a)]. given #5816 (H,wt=8): 6497 L(x,y,K(x,z)) = x. [hyper(5798,a,6476,a)]. given #5817 (H,wt=12): 6504 L(K(x,y),z,K(x,u)) = K(x,y). [para(6497(a,1),5540(a,1,1)),flip(a)]. given #5818 (H,wt=12): 6505 L(K(x,y),z,K(y,u)) = K(x,y). [para(6497(a,1),5891(a,1,2)),flip(a)]. given #5819 (H,wt=14): 6500 L(R(x,y,z),u,K(x,w)) = R(x,y,z). [para(6497(a,1),47(a,1,1)),flip(a)]. given #5820 (H,wt=14): 6501 L(L(x,y,z),u,K(x,w)) = L(x,y,z). [para(6497(a,1),48(a,1,1)),flip(a)]. given #5821 (H,wt=8): 6512 L(x,y,K(z,x)) = x. [hyper(4042,a,6501,a)]. given #5822 (H,wt=11): 6511 L(x,y,T(x,z)) = L(x,y,x). [hyper(5107,a,6501,a)]. given #5823 (H,wt=12): 6516 L(K(x,y),z,K(u,y)) = K(x,y). [para(6512(a,1),5891(a,1,2)),flip(a)]. given #5824 (H,wt=12): 6521 K(L(x,y,K(z,u)),u) = K(x,u). [hyper(189,a,5541,a(flip),b,6516,a(flip)),flip(a)]. given #5825 (H,wt=15): 6495 K(x,y) * L(T(y,x),z,y) = L(y,z,y). [hyper(3907,a,6467,a)]. given #5826 (H,wt=15): 6496 K(x,y) * R(x,z,x) = R(T(x,y),z,x). [hyper(189,a,45,a,b,6472,a)]. given #5827 (H,wt=15): 6518 L(T(x,y),z,T(x,u)) = T(L(x,z,x),y). [para(6511(a,1),43(a,2,1))]. given #5828 (H,wt=15): 6523 K(x \ (K(y,z) * u),z) = K(x \ u,z). [hyper(189,a,6416,a(flip),b,6521,a(flip)),flip(a)]. given #5829 (H,wt=15): 6526 R(x,y,x) * K(x,z) = R(T(x,z),y,x). [hyper(2657,a,6496,a)]. given #5830 (H,wt=15): 6528 L(T(x,y),z,T(x,u)) = L(T(x,y),z,x). [hyper(189,a,43,a,b,6518,a)]. given #5831 (H,wt=15): 6531 K(x \ (K(y,z) * u),y) = K(x \ u,y). [para(3887(a,1),6523(a,1,1,2)),flip(a)]. given #5832 (H,wt=15): 6532 K(x \ ((y \ z) * y),y) = K(x \ z,y). [para(4291(a,1),6523(a,1,1,2))]. given #5833 (H,wt=15): 6535 K(x \ (y * z),z) = K(x \ (z * y),z). [para(4373(a,1),6523(a,1,1,2))]. given #5834 (H,wt=16): 6492 K(x,y * T(z,x)) != u | K(x,y * z) = u. [para(1078(a,1),6490(a,1,2))]. given #5835 (H,wt=16): 6493 K(x,y \ T(z,x)) != u | K(x,y \ z) = u. [para(1077(a,1),6490(a,1,2))]. given #5836 (H,wt=16): 6506 L(T(K(x,y),z),u,K(x,w)) = T(K(x,y),z). [para(6504(a,1),43(a,2,1))]. given #5837 (H,wt=15): 6543 T(K(x,y),K(x,z) * u) = T(K(x,y),u). [hyper(189,a,5036,a(flip),b,6506,a(flip)),flip(a)]. given #5838 (H,wt=15): 6545 T(K(x,y),K(z,x) * u) = T(K(x,y),u). [para(3887(a,1),6543(a,1,2)),flip(a)]. given #5839 (H,wt=15): 6546 T(K(x,y),z * K(u,x)) = T(K(x,y),z). [para(6052(a,1),6543(a,1,2)),flip(a)]. given #5840 (H,wt=16): 6524 T(x,L(y,z,K(u,x))) = (K(y,x) / x) \ 1. [para(6521(a,1),4417(a,2,1,1))]. given #5841 (H,wt=12): 6548 T(x,L(y,z,K(u,x))) = T(x,y). [hyper(189,a,4417,a,b,6524,a)]. given #5842 (H,wt=17): 6485 T(x,T(y / (z * x),z)) = T(x,z \ (y / x)). [para(519(a,1),6482(a,1,2))]. given #5843 (H,wt=15): 6550 T(x,(y * x) \ z) = T(x,y \ (z / x)). [hyper(189,a,6393,a(flip),b,6485,a(flip)),flip(a)]. given #5844 (H,wt=15): 6551 T(x,(y * x) \ z) = T(x,y \ (x \ z)). [hyper(189,a,6188,a(flip),b,6550,a)]. given #5845 (H,wt=17): 6494 K(x,T(T(y,y * z),u)) = K(x,T(T(y,z),u)). [para(3609(a,1),6491(a,1,2,1)),flip(a)]. given #5846 (H,wt=17): 6527 T(x,y) \ R(T(x,y),z,x) = x \ R(x,z,x). [hyper(75,a,6496,a(flip),b,4377,a)]. given #5847 (H,wt=17): 6536 K(x \ (T(y,z) \ u),y) = K(x \ (y \ u),y). [para(4558(a,1),6523(a,1,1,2))]. given #5848 (H,wt=17): 6540 K(x \ (T(y,z) * (y \ u)),y) = K(x \ u,y). [para(4377(a,2),6531(a,1,1,2))]. given #5849 (H,wt=17): 6542 K((x / y) \ z,T(z,y)) = K(x \ (y * z),z). [hyper(189,a,5617,a,b,6535,a),flip(a)]. given #5850 (H,wt=17): 6553 K(x,T(T(y,z),u * y)) = K(x,T(T(y,u),z)). [para(3511(a,1),6494(a,1,2))]. given #5851 (H,wt=17): 6556 K(x * y,T(T(x,y),z)) = K(x * y,T(x,z)). [hyper(6104,a,6553,a),flip(a)]. given #5852 (H,wt=17): 6557 K(x,T(T(y,z),u * y)) = K(x,T(T(y,z),u)). [para(41(a,1),6553(a,2,2))]. given #5853 (H,wt=18): 6507 L(R(K(x,y),z,u),w,K(x,v5)) = R(K(x,y),z,u). [para(6504(a,1),47(a,1,1)),flip(a)]. given #5854 (H,wt=18): 6547 T(K(x,y),z * L(K(u,x),w,v5)) = T(K(x,y),z). [para(4829(a,1),6546(a,1,2,2))]. given #5855 (H,wt=18): 6552 T(x,L(x \ y,x,z)) = T(x,z \ (x \ (z * y))). [para(104(a,2),6551(a,1,2))]. given #5856 (H,wt=19): 6478 (x * (K(y,x) * z)) * y = K(y,x) * ((x * z) * y). [para(6475(a,1),5038(a,1,1)),flip(a)]. given #5857 (H,wt=19): 6508 (K(x,y) * z) * K(x,u) = K(x,y) * (z * K(x,u)). [para(6504(a,1),102(a,1,2))]. given #5858 (H,wt=19): 6509 (K(x,y) * z) * K(u,x) = K(x,y) * (z * K(u,x)). [para(6505(a,1),102(a,1,2))]. given #5859 (H,wt=19): 6515 K(x,y) * (T(z,K(x,y)) * y) = (z * K(x,y)) * y. [para(6512(a,1),353(a,1,2)),flip(a)]. given #5860 (H,wt=15): 6565 T(x * y,K(z,y)) = T(x,K(z,y)) * y. [hyper(5246,a,6515,a)]. given #5861 (H,wt=19): 6522 (K(x,y) * z) * K(u,y) = K(x,y) * (z * K(u,y)). [para(6516(a,1),102(a,1,2))]. given #5862 (H,wt=19): 6525 (x / L(T(y,z),u,y)) * K(y,z) = x / L(y,u,y). [para(6495(a,1),5840(a,1,2)),flip(a)]. given #5863 (H,wt=19): 6533 K(x \ (y / z),y / z) = K(x \ (z \ y),y / z). [para(4312(a,1),6523(a,1,1,2))]. given #5864 (H,wt=19): 6538 R(x,y,x) * (K(x,z) * u) = R(T(x,z),y,x) * u. [para(6526(a,1),3659(a,1,1)),flip(a)]. given #5865 (H,wt=19): 6541 K(x \ (K(y,z) * u),T(y,w)) = K(x \ u,T(y,w)). [para(6027(a,1),6531(a,1,1,2,1))]. given #5866 (H,wt=19): 6549 T(x,(K(y,x) * z) \ (K(y,x) * u)) = T(x,z \ u). [para(104(a,1),6548(a,1,2))]. given #5867 (H,wt=15): 6572 T(x,y \ (K(z,x) * u)) = T(x,y \ u). [hyper(189,a,6428,a(flip),b,6549,a(flip)),flip(a)]. given #5868 (H,wt=15): 6574 T(x,y \ (z * x)) = T(x,y \ (x * z)). [para(4373(a,1),6572(a,1,2,2))]. given #5869 (H,wt=19): 6555 K(x \ ((y \ x) * z),z) = K(y \ z,T(z,y \ x)). [para(67(a,1),6542(a,1,1,1)),flip(a)]. given #5870 (H,wt=19): 6559 K(x,T(T(y,z),u \ 1)) = K(x,T(T(y,z),u \ y)). [para(3692(a,1),6557(a,1,2)),flip(a)]. given #5871 (H,wt=19): 6560 T(K(x,y),z * (u * K(w,x))) = T(K(x,y),z * u). [para(102(a,1),6547(a,1,2))]. given #5872 (H,wt=19): 6561 T(K(x,y) * z,K(x,u)) = K(x,y) * T(z,K(x,u)). [hyper(147,a,6508,a,b,5829,a)]. given #5873 (H,wt=19): 6570 K(x \ (y * z),T(z,u)) = K(x \ (z * y),T(z,u)). [para(4373(a,1),6541(a,1,1,2)),flip(a)]. given #5874 (H,wt=19): 6576 T(x * K(y,z),K(z,u)) = T(x,K(z,u)) * K(y,z). [hyper(4992,a,6561,a),flip(a)]. given #5875 (H,wt=20): 6510 (K(x,y) * z) \ (K(x,y) * T(x * z,x)) = R(x,z,x). [hyper(189,a,3671,a,b,6500,a(flip)),flip(a)]. given #5876 (H,wt=20): 6558 R(T(x,y),z,x) / T(T(x,z),y) = K(x * z,T(x,y)). [hyper(189,a,4938,a,b,6556,a(flip)),flip(a)]. given #5877 (H,wt=20): 6579 (K(x,y) * z) \ T(K(x,y) * (x * z),x) = R(x,z,x). [para(6342(a,2),6510(a,1,2))]. given #5878 (H,wt=18): 6581 (K(x,y) * z) \ T(T(x,y) * z,x) = R(x,z,x). [para(4407(a,1),6579(a,1,2,1))]. given #5879 (H,wt=13): 6582 R(x,K(x,y) * z,x) = R(x,z,x). [hyper(4546,a,6581,a)]. given #5880 (H,wt=20): 6580 R(T(x,y),z,x) / T(T(x,y),z) = K(x * z,T(x,y)). [para(41(a,1),6558(a,1,2))]. given #5881 (H,wt=17): 6584 K(x * y,T(T(y,z),x)) = K(y * x,T(y,z)). [hyper(189,a,4958,a(flip),b,6580,a(flip)),flip(a)]. given #5882 (H,wt=17): 6585 K(x * y,T(T(y,x),z)) = K(y * x,T(y,z)). [para(41(a,1),6584(a,1,2))]. given #5883 (H,wt=21): 6148 (R(x,y,z) * u) * K(x,w) = R(x,y,z) * (u * K(x,w)). [para(6140(a,1),382(a,1,1,1)),flip(a)]. given #5884 (H,wt=13): 6587 L(K(x,y),z,R(x,u,w)) = K(x,y). [hyper(5798,a,6148,a)]. given #5885 (H,wt=13): 6588 K(L(x,y,R(x,z,u)),w) = K(x,w). [hyper(189,a,5541,a(flip),b,6587,a(flip)),flip(a)]. given #5886 (H,wt=21): 6165 K((x * K(y,z)) \ u,T(y,x)) = K(u / (x * K(y,z)),y). [para(6153(a,1),6033(a,1,2))]. given #5887 (H,wt=17): 6589 K(x \ y,T(z,x)) = K(y / (x * K(z,u)),z). [hyper(189,a,6410,a(flip),b,6165,a(flip)),flip(a)]. given #5888 (H,wt=15): 6590 K(x / (y * K(z,u)),z) = K(x / y,z). [hyper(6102,a,6589,a),flip(a)]. given #5889 (H,wt=15): 6592 K(x / (K(y,z) * u),z) = K(x / u,z). [para(5348(a,1),6590(a,1,1,2)),flip(a)]. given #5890 (H,wt=19): 6593 T(x,y / (K(z,x) * u)) = 1 / (x \ K(y / u,x)). [para(6592(a,1),4466(a,2,2,2))]. given #5891 (H,wt=15): 6594 T(x,y / (K(z,x) * u)) = T(x,y / u). [hyper(189,a,4466,a,b,6593,a)]. given #5892 (H,wt=20): 6595 T(x,((y * K(z,x)) * u) / u) = T(x,R(y,K(z,x),u)). [para(33(a,2),6594(a,1,2)),flip(a)]. given #5893 (H,wt=16): 6596 T(x,R(y,K(z,x),u)) = T(x,y * K(z,x)). [para(18(a,1),6595(a,1,2)),flip(a)]. given #5894 (H,wt=12): 6597 T(x,R(y,K(z,x),u)) = T(x,y). [hyper(189,a,6159,a(flip),b,6596,a)]. given #5895 (H,wt=14): 6600 K(x,R(y,K(z,x),u)) = x \ T(x,y). [hyper(75,a,6597,a(flip),b,4396,a(flip)),flip(a)]. given #5896 (H,wt=12): 6601 K(x,R(y,K(z,x),u)) = K(x,y). [hyper(189,a,4360,a,b,6600,a)]. given #5897 (H,wt=18): 6602 K(x,R(R(y,K(z,x),u),w,v5)) = K(x,R(y,w,v5)). [para(49(a,1),6601(a,1,2))]. given #5898 (H,wt=21): 6169 K(T(x,y),(y * K(z,x)) \ u) = K(x,u / (y * K(z,x))). [para(6159(a,1),6041(a,1,1))]. given #5899 (H,wt=21): 6242 K(T(x,y) \ K(z,x),T(x,y)) = K(T(x,y) \ 1,T(x,y)). [hyper(189,a,4257,a(flip),b,6214,a(flip)),flip(a)]. given #5900 (H,wt=17): 6604 K(T(x,y) \ K(z,x),T(x,y)) = K(x \ 1,x). [hyper(189,a,2909,a(flip),b,6242,a)]. given #5901 (H,wt=21): 6260 (x * (K(y,z) * u)) * K(u,K(y,z)) = x * (u * K(y,z)). [para(6257(a,1),384(a,1,1)),flip(a)]. given #5902 (H,wt=21): 6270 ((x * ((y * z) / y)) / x) / ((x * z) / x) = K(T(y,x),z). [hyper(6081,a,4510,a(flip)),flip(a)]. given #5903 (H,wt=21): 6282 K(x,K(y,z)) * (T(z,y) * u) = T(T(z,y),K(x,y)) * u. [para(3874(a,1),5985(a,1,1,2))]. given #5904 (H,wt=19): 6609 K(x,K(y,z)) * (T(z,y) * u) = T(z,T(y,x)) * u. [para(6326(a,1),6282(a,2,1))]. given #5905 (H,wt=21): 6285 T(x,K(y,x * z)) * K(y,z * x) = K(y,z * x) * x. [para(6284(a,1),6056(a,1,1))]. given #5906 (H,wt=21): 6287 L(K(T(x,y),T(z,y)),u,w) = K(L(x,u / T(x,y),w),z). [hyper(189,a,5540,a(flip),b,6040,a(flip)),flip(a)]. given #5907 (H,wt=17): 6610 K(L(x,y / T(x,z),u),w) = L(K(x,w),y,u). [para(6027(a,1),6287(a,1,1)),flip(a)]. given #5908 (H,wt=15): 6612 L(K(x,y),T(z,x),u) = L(K(x,y),z,u). [hyper(189,a,5542,a(flip),b,6610,a(flip)),flip(a)]. given #5909 (H,wt=15): 6613 L(K(x,y),x * z,u) = K(L(x,z,u),y). [para(129(a,1),6610(a,1,1,2)),flip(a)]. given #5910 (H,wt=14): 6617 K(L(x,y,z),x * y) = K(x,x * y). [hyper(5327,a,6613,a),flip(a)]. given #5911 (H,wt=15): 6614 K(L(x,x \ y,z),u) = L(K(x,u),y,z). [para(174(a,1),6610(a,1,1,2))]. given #5912 (H,wt=12): 6620 K(L(x,x \ 1,y),z) = K(x,z). [hyper(189,a,262,a(flip),b,6614,a)]. given #5913 (H,wt=17): 6611 L(K(x,y),z * K(u,x),w) = L(K(x,y),z,w). [hyper(189,a,5545,a,b,6610,a(flip)),flip(a)]. given #5914 (H,wt=18): 6621 K(T(x,y),T(z,y)) = K(L(x,T(x,y) \ 1,u),z). [hyper(6108,a,6620,a),flip(a)]. given #5915 (H,wt=17): 6624 K(L(x,T(x,y) \ 1,z),u) != w | K(x,u) = w. [para(6621(a,1),6101(a,1))]. given #5916 (H,wt=19): 6619 K(L(x,T(x,y) \ 1,z),u) = L(K(x,u),K(y,x),z). [para(4358(a,2),6613(a,1,2)),flip(a)]. given #5917 (H,wt=12): 6625 L(K(x,y),K(z,x),u) = K(x,y). [hyper(6624,a,6619,a),flip(a)]. given #5918 (H,wt=19): 6626 (x * K(y,z)) * K(z,u) = x * (K(y,z) * K(z,u)). [para(6625(a,1),102(a,1,2))]. given #5919 (H,wt=10): 6628 R(x,K(y,z),K(z,u)) = x. [hyper(376,a,6626,a)]. given #5920 (H,wt=12): 6630 R(x,T(K(y,z),u),K(z,w)) = x. [para(1379(a,1),6628(a,1,2))]. given #5921 (H,wt=13): 6631 R(x,L(K(y,z),u,w),K(z,v5)) = x. [para(4829(a,1),6628(a,1,2))]. given #5922 (H,wt=14): 6632 R(x,T(K(y,z),u),T(K(z,w),v5)) = x. [para(4847(a,1),6630(a,1,3))]. given #5923 (H,wt=18): 6635 x * T(K(y,z),u) != w | w * T(K(z,y),u) = x. [para(6632(a,1),5642(a,1)),flip(a)]. given #5924 (H,wt=19): 6627 (x * (K(y,z) * K(z,u))) * K(u,z) = x * K(y,z). [hyper(3929,a,6626,a)]. given #5925 (H,wt=12): 6636 L(K(x,y),K(z,y),u) = K(x,y). [hyper(5928,a,6627,a)]. given #5926 (H,wt=19): 6629 (x * K(y,z)) * K(z,u) = x * (K(z,u) * K(y,z)). [para(1959(a,2),6626(a,2,2))]. given #5927 (H,wt=19): 6638 (x * (K(y,z) * K(u,y))) * K(z,y) = x * K(u,y). [para(1959(a,2),6627(a,1,1,2))]. given #5928 (H,wt=19): 6639 (x * K(y,z)) * K(u,z) = x * (K(y,z) * K(u,z)). [para(6636(a,1),102(a,1,2))]. given #5929 (H,wt=19): 6640 (x * K(y,z)) * (K(z,y) * K(u,y)) = x * K(u,y). [para(6636(a,1),3934(a,1,2)),flip(a)]. given #5930 (H,wt=19): 6642 (x * K(y,z)) * (K(y,u) * K(z,y)) = x * K(y,u). [para(3919(a,1),6629(a,1,1)),flip(a)]. given #5931 (H,wt=19): 6644 (x * (K(y,z) * K(u,y))) * (K(z,y) * K(y,u)) = x. [hyper(21,a,6627,a,b,6638,a(flip)),flip(a)]. given #5932 (H,wt=19): 6647 (x * K(y,z)) * (K(u,y) * K(z,y)) = x * K(u,y). [para(3963(a,1),6640(a,1,2))]. given #5933 (H,wt=19): 6648 (x * K(y,z)) \ (x * K(y,u)) = K(y,u) * K(z,y). [hyper(80,a,6642,a)]. given #5934 (H,wt=19): 6651 ((x * K(y,z)) * K(u,y)) * K(z,y) = x * K(u,y). [hyper(189,a,6639,a,b,6647,a(flip)),flip(a)]. given #5935 (H,wt=19): 6653 (x * K(y,z)) * K(u,y) = (x * K(u,y)) * K(y,z). [hyper(3929,a,6651,a),flip(a)]. given #5936 (H,wt=19): 6654 (x * K(y,z)) * K(u,y) = x * (K(y,z) * K(u,y)). [hyper(21,a,6638,a,b,6651,a)]. given #5937 (H,wt=10): 6656 R(x,K(y,z),K(u,y)) = x. [hyper(376,a,6654,a)]. given #5938 (H,wt=21): 6292 K(K(x,y) * T(y,z),T(u,z)) = K(y * K(T(x,z),y),u). [para(6049(a,1),6027(a,1,1))]. given #5939 (H,wt=19): 6658 K(K(x,y) * T(y,z),T(u,z)) = K(y,T(u,T(x,z))). [hyper(189,a,6046,a(flip),b,6292,a)]. given #5940 (H,wt=21): 6295 K(T(x * K(y \ x,x),x),z) = K(x,T(z,T(y,x) \ x)). [para(5635(a,1),6074(a,1,1))]. given #5941 (H,wt=21): 6298 K(R(T(x,y * z),u,w),z) = K(T(R(x,u,w),z * y),z). [para(45(a,2),6297(a,1,1))]. given #5942 (H,wt=21): 6335 K(x,K(y,z)) * (T(x,u) * z) = T(T(x,u) * z,K(x,y)). [para(6334(a,1),5984(a,1,1))]. given #5943 (H,wt=21): 6366 T(x,K(y,z)) * K(x \ y,x) = x * T(K(x \ y,x),z). [para(6002(a,1),4545(a,1,2)),flip(a)]. given #5944 (H,wt=13): 6663 T(x,K(y,x \ z)) = T(x,K(z,y)). [hyper(21,a,5993,a,b,6366,a),flip(a)]. given #5945 (H,wt=13): 6664 T(x,K(y,x \ z)) = T(x,K(y,z)). [hyper(189,a,6118,a,b,6663,a)]. given #5946 (H,wt=13): 6666 T(x,K(y,x * z)) = T(x,K(y,z)). [para(16(a,1),6664(a,1,2,2)),flip(a)]. given #5947 (H,wt=13): 6667 T(x,K(y,x * z)) = T(x,K(z,y)). [hyper(189,a,6118,a,b,6666,a)]. given #5948 (H,wt=13): 6669 T(x,K(y,z * x)) = T(x,K(z,y)). [hyper(189,a,6284,a,b,6667,a(flip)),flip(a)]. given #5949 (H,wt=15): 6671 K(x * y,T(y,K(x,z))) = K(x * y,y). [para(6669(a,1),5342(a,1,2))]. given #5950 (H,wt=16): 6665 T(x,K(y,x \ z)) != u | T(x,K(y,z)) = u. [para(6663(a,2),6121(a,1))]. given #5951 (H,wt=17): 6670 T(T(x,y),K(z,x * u)) = T(T(x,K(u,z)),y). [para(6667(a,1),41(a,1,1)),flip(a)]. given #5952 (H,wt=19): 6668 T(x,K(y,z)) * K(y,z * x) = K(y,z * x) * x. [para(6666(a,1),6285(a,1,1))]. given #5953 (H,wt=21): 6372 K((x / y) \ 1,x * K(z,u)) = K(x \ y,K(z,u) * x). [hyper(189,a,4760,a,b,6070,a(flip)),flip(a)]. given #5954 (H,wt=21): 6379 K(R(x / (x / y),z,u),w) = K(R(y,z,u),T(w,y \ x)). [para(4318(a,2),6077(a,1,1,1))]. given #5955 (H,wt=21): 6381 K(T(x,y * K(z,y)),u) = u / T(u,x * K(T(x,z),y)). [para(6090(a,1),4356(a,2,2))]. given #5956 (H,wt=19): 6674 K(T(x,y * K(z,y)),u) = K(x * K(T(x,z),y),u). [hyper(189,a,4356,a,b,6381,a)]. given #5957 (H,wt=21): 6382 K(x * K(y,z),(x / u) \ 1) = K(K(y,z) * x,x \ u). [hyper(21,a,4856,a,b,6097,a),flip(a)]. given #5958 (H,wt=17): 6677 K(K(x,y) * z,z \ x) = K(z,z \ T(x,y)). [hyper(189,a,5862,a(flip),b,6382,a(flip))]. given #5959 (H,wt=21): 6385 x * K(y / z,(z \ y) \ x) = (y / z) * (x / (y / z)). [para(6215(a,1),3903(a,1,2))]. given #5960 (H,wt=21): 6395 T(x * K(y,x),T(y * x,y)) = T((y * x) / y,y * x). [hyper(4893,a,6394,a)]. given #5961 (H,wt=16): 6680 T(x * K(y,x),T(y * x,y)) = L(x,y,x). [hyper(189,a,3597,a(flip),b,6395,a)]. given #5962 (H,wt=16): 6681 T(x * K(y,x),T(x * y,y)) = L(x,y,x). [hyper(189,a,5027,a(flip),b,6680,a(flip)),flip(a)]. given #5963 (H,wt=21): 6399 (T(x,T(x \ y,z)) * z) \ (z * ((x \ y) \ y)) = K(z,x). [para(6238(a,1),5164(a,1,1,1))]. given #5964 (H,wt=21): 6404 K(x * K(T(x,y),z),T(u,y)) = K(K(y,x) * T(x,z),u). [para(6403(a,1),6027(a,1,1))]. given #5965 (H,wt=21): 6420 T((x \ y) * x,z \ T(u,y)) = T((x \ y) * x,z \ u). [para(1077(a,1),6384(a,1,2))]. given #5966 (H,wt=21): 6421 x * T(y * K(z,y),T(z,x)) = T(x,y) * T(y,T(x,z)). [para(6402(a,1),5377(a,1,2))]. given #5967 (H,wt=19): 6682 K(x,y) * T(x * K(z,x),T(z,y)) = T(x,T(y,z)). [hyper(4586,a,6421,a(flip))]. given #5968 (H,wt=15): 6685 K(x,y) * T(x,K(z,y)) = T(x,T(y,z)). [para(6322(a,1),6682(a,1,2))]. given #5969 (H,wt=21): 6433 L(K(T(x,y),T(z,y)),u,w) = K(x,L(z,u / T(z,y),w)). [hyper(6109,a,5891,a),flip(a)]. given #5970 (H,wt=17): 6686 K(x,L(y,z / T(y,u),w)) = L(K(x,y),z,w). [para(6027(a,1),6433(a,1,1)),flip(a)]. given #5971 (H,wt=15): 6687 L(K(x,y),y * z,u) = K(x,L(y,z,u)). [para(129(a,1),6686(a,1,2,2)),flip(a)]. given #5972 (H,wt=14): 6689 K(x * y,L(x,y,z)) = K(x * y,x). [hyper(5898,a,6687,a),flip(a)]. given #5973 (H,wt=21): 6460 R(K(x,K(y,z \ 1)),u,w) = K(x,K(y,R(z,u,w) \ 1)). [para(5667(a,1),6458(a,2,2))]. given #5974 (H,wt=21): 6502 (K(x,y) * z) * R(x,u,w) = K(x,y) * (z * R(x,u,w)). [para(6497(a,1),351(a,1,2,1))]. given #5975 (H,wt=13): 6691 R(K(x,y),z,R(x,u,w)) = K(x,y). [hyper(376,a,6502,a)]. given #5976 (H,wt=13): 6694 K(R(x,y,R(x,z,u)),w) = K(x,w). [hyper(189,a,5746,a(flip),b,6691,a(flip)),flip(a)]. given #5977 (H,wt=21): 6503 (K(x,y) * z) * L(x,u,w) = K(x,y) * (z * L(x,u,w)). [para(6497(a,1),352(a,1,2,1))]. given #5978 (H,wt=13): 6697 R(K(x,y),z,L(x,u,w)) = K(x,y). [hyper(376,a,6503,a)]. given #5979 (H,wt=13): 6698 K(R(x,y,L(x,z,u)),w) = K(x,w). [hyper(189,a,5746,a(flip),b,6697,a(flip)),flip(a)]. given #5980 (H,wt=19): 6699 K(T(x,y),T(z,y)) = K(R(x,u,L(T(x,y),w,v5)),z). [hyper(6105,a,6698,a),flip(a)]. given #5981 (H,wt=15): 6701 K(R(x,y,L(T(x,z),u,w)),v5) = K(x,v5). [hyper(6101,a,6699,a),flip(a)]. given #5982 (H,wt=19): 6703 T(x,R(y,z,L(T(y,u),w,v5))) = (K(y,x) / x) \ 1. [para(6701(a,1),4417(a,2,1,1))]. given #5983 (H,wt=15): 6704 T(x,R(y,z,L(T(y,u),w,v5))) = T(x,y). [hyper(189,a,4417,a,b,6703,a)]. given #5984 (H,wt=10): 6705 T(x,R(y,z,y)) = T(x,y). [para(5291(a,1),6704(a,1,2,3))]. given #5985 (H,wt=13): 6707 T(x,T(y,y \ z)) = T(x,T(y,z)). [para(3694(a,1),6705(a,1,2))]. given #5986 (H,wt=15): 6706 R(x,y,x) * T(z,x) = z * R(x,y,x). [para(6705(a,1),113(a,1,2))]. given #5987 (H,wt=15): 6709 T(x,T(y,z \ 1)) = T(x,T(y,z \ y)). [para(3749(a,1),6707(a,1,2))]. given #5988 (H,wt=17): 6710 R(x,y,x) * (x \ z) = (z / x) * R(x,y,x). [para(115(a,1),6706(a,1,2))]. given #5989 (H,wt=17): 6712 (R(x,y,x) * (x \ z)) \ (z * R(x,y,x)) = x. [para(6710(a,2),1647(a,1,1))]. given #5990 (H,wt=21): 6520 L(x * K(y,x),z,x * K(y,x)) = L(x * K(y,x),z,x). [para(4374(a,1),6511(a,1,3)),flip(a)]. given #5991 (H,wt=21): 6566 T(x * (y \ z),K(y,y \ z)) = T(x,K(y,z)) * (y \ z). [para(6015(a,1),6565(a,2,1))]. given #5992 (H,wt=19): 6715 T(x * (y \ z),K(y,z)) = T(x,K(y,z)) * (y \ z). [hyper(6016,a,6566,a)]. given #5993 (H,wt=19): 6716 T(x * (y \ z),K(z,y)) = T(x,K(y,z)) * (y \ z). [hyper(6121,a,6715,a)]. given #5994 (H,wt=19): 6717 T(x * (y \ z),K(z,y)) = T(x,K(z,y)) * (y \ z). [para(6118(a,1),6716(a,2,1))]. given #5995 (H,wt=21): 6571 K(x \ (T(y,z) \ u),T(y,w)) = K(x \ (y \ u),T(y,w)). [para(4541(a,1),6541(a,1,1,2)),flip(a)]. given #5996 (H,wt=21): 6606 (T(x,y) \ K(z,x)) * T(x,y) = K(z,x) * K(x \ 1,x). [para(6604(a,1),213(a,1,2)),flip(a)]. given #5997 (H,wt=19): 6718 (T(x,y) \ K(z,x)) * T(x,y) = (T(x,z) \ 1) * x. [hyper(189,a,4633,a(flip),b,6606,a)]. given #5998 (H,wt=21): 6607 (x * (K(y,z) * u)) * K(y,K(z,u)) = x * (u * K(y,z)). [para(5969(a,2),6260(a,1,2))]. given #5999 (H,wt=21): 6608 ((x * (y * K(z,y))) / x) / ((x * y) / x) = K(T(z,x),y). [para(4375(a,1),6270(a,1,1,1,2))]. given #6000 (H,wt=21): 6643 (x / y) * (K(y,z) * K(u,y)) = (x / T(y,u)) * K(y,z). [para(5178(a,1),6629(a,1,1)),flip(a)]. given #6001 (H,wt=21): 6652 (K(x,y) * z) \ (z * K(x,u)) = K(x,u) * K(T(y,z),x). [para(5345(a,1),6648(a,1,1))]. given #6002 (H,wt=21): 6655 ((x * K(y,z)) * K(u,y)) * y = (x * K(u,y)) * T(y,z). [para(6651(a,1),5146(a,1,1)),flip(a)]. given #6003 (H,wt=21): 6661 K(R(T(x,y * z),u,w),z) = K(R(T(x,z * y),u,w),z). [para(45(a,2),6298(a,2,1))]. given #6004 (H,wt=21): 6662 K(x,K(y,z)) * (T(y,u) * x) = T(T(y,u) * x,K(y,z)). [para(5969(a,1),6335(a,1,1))]. given #6005 (H,wt=19): 6725 T(T(x,y) * z,K(x,u)) = T(x,y) * T(z,K(x,u)). [hyper(189,a,5461,a(flip),b,6662,a(flip))]. given #6006 (H,wt=17): 6726 T(x,y) * T(z,K(x,y)) = (x * z) * K(x,y). [hyper(4806,a,6725,a),flip(a)]. given #6007 (H,wt=15): 6727 T(x * y,K(x,z)) = x * T(y,K(x,z)). [hyper(147,a,6726,a(flip),b,4407,a)]. given #6008 (H,wt=21): 6676 K(T(x,y * K(z * x,y)),u) = K(x * K(T(x,z),y),u). [para(5384(a,1),6674(a,2,1,2))]. given #6009 (H,wt=21): 6683 x * (T(y,T(z,x)) * K(z,y)) = T(x,y) * T(y,T(x,z)). [para(5354(a,1),6421(a,1,2))]. given #6010 (H,wt=21): 6692 K(x,y) * ((y * x) * R(x,z,u)) = (x * y) * R(x,z,u). [para(4373(a,1),6502(a,1,1)),flip(a)]. given #6011 (H,wt=21): 6695 K(x,y) * R(x,z,R(x,u,w)) = T(R(x,z,R(x,u,w)),y). [para(6694(a,1),4403(a,2,1)),flip(a)]. given #6012 (H,wt=21): 6700 K(x,y) * R(x,z,L(x,u,w)) = T(R(x,z,L(x,u,w)),y). [para(6698(a,1),4403(a,2,1)),flip(a)]. given #6013 (H,wt=21): 6720 K(T(x,y),z) * ((y * z) / y) = (y * (z * K(x,z))) / y. [para(6608(a,1),19(a,1,1))]. given #6014 (H,wt=21): 6721 K(T(x,y),z) * (z * K(y,z)) = (y * (z * K(x,z))) / y. [para(6608(a,1),4664(a,1,1))]. given #6015 (H,wt=21): 6722 (x / y) * (K(y,z) * K(u,y)) = x / (T(y,u) * K(z,y)). [hyper(189,a,5522,a,b,6643,a)]. given #6016 (H,wt=20): 6735 (x / y) * (K(y,z) * K(y * z,y)) = x / L(y,z,y). [para(4627(a,1),6722(a,2,2))]. given #6017 (H,wt=21): 6723 (K(x,y) * z) \ (z * K(x,u)) = K(x,u) * K(y,T(x,z)). [hyper(189,a,5390,a(flip),b,6652,a)]. given #6018 (H,wt=21): 6724 (x * K(y,z)) * (y * K(u,y)) = (x * K(u,y)) * T(y,z). [hyper(5292,a,6655,a)]. given #6019 (H,wt=21): 6729 K(x,y) * ((y * R(x,z,u)) * x) = (x * y) * R(x,z,u). [para(1643(a,2),6692(a,1,2))]. given #6020 (H,wt=21): 6730 K(x,y) * R(x,z,R(x,u,w)) = R(T(x,y),z,R(x,u,w)). [hyper(189,a,45,a,b,6695,a)]. given #6021 (H,wt=21): 6732 ((x * y) / x) / ((x * (y * K(z,y))) / x) = K(y,T(z,x)). [para(6720(a,1),3905(a,1,2))]. given #6022 (H,wt=21): 6734 (x * K(y,x)) * K(T(z,y),x) = (y * (x * K(z,x))) / y. [hyper(189,a,3964,a(flip),b,6721,a(flip)),flip(a)]. given #6023 (H,wt=21): 6737 (x * K(y,z)) * (y * K(u,y)) = x * (K(u,y) * T(y,z)). [hyper(189,a,5296,a(flip),b,6724,a)]. given #6024 (H,wt=21): 6740 (x * K(y,z)) * (y * K(u,y)) = x * (T(y,z) * K(u,y)). [para(2759(a,2),6737(a,2,2))]. given #6025 (H,wt=22): 6025 (x * (y * K(z,u))) / (x * y) = L(K(z,T(u,x * y)),y,x). [para(6021(a,1),4490(a,1,1)),flip(a)]. given #6026 (H,wt=22): 6112 K(R(x \ y,z,u),T(w,x)) != v5 | K(R(y / x,z,u),w) = v5. [para(163(a,1),6101(a,1,1))]. given #6027 (H,wt=22): 6119 K(x,y) * z != K(x,y) * u | T(T(u,K(x,y)),K(x,y)) = z. [para(6056(a,1),148(a,2))]. given #6028 (H,wt=22): 6124 L(T(x,y),z,u) * (L(x,z,u) \ x) = x * K(L(x,z,u),y). [para(3532(a,1),6059(a,1,1))]. given #6029 (H,wt=22): 6180 x \ R(x,y * K(x,z),x) = K(x,y) * K(y * T(x,z),x). [para(6174(a,1),5149(a,1,1)),flip(a)]. given #6030 (H,wt=20): 6744 x \ R(x,y * K(x,z),x) = K(x,y) * K(y * x,x). [para(6199(a,1),6180(a,2,2))]. given #6031 (H,wt=17): 6745 x \ R(x,y * K(x,z),x) = x \ R(x,y,x). [hyper(189,a,4696,a(flip),b,6744,a)]. given #6032 (H,wt=22): 6190 (T(x,y) * z) \ ((x * y) * z) = R(T(y,x * z),T(x,y),z). [para(6168(a,1),734(a,1,1)),flip(a)]. given #6033 (H,wt=22): 6269 K(R(x * K(y,x),z,u),w) != v5 | K(R(x,z,u),T(w,y)) = v5. [para(4489(a,2),6038(a,1,1))]. given #6034 (H,wt=22): 6275 K(T(x,y \ 1),(1 / y) \ z) != u | K(x,z / (1 / y)) = u. [para(2672(a,1),6111(a,1,1))]. given #6035 (H,wt=22): 6288 K(T(x,L(x,y,z) * u),T(w,u)) = K(L(x,u,L(x,y,z)),w). [para(1293(a,1),6040(a,1,1))]. given #6036 (H,wt=22): 6349 T(K(x,y) * K(z,u),x) != w | K(x,y) * K(z,T(u,x)) = w. [para(6342(a,2),5501(a,1))]. given #6037 (H,wt=22): 6370 x * K(L(K(y,z),u,w),x) != v5 | T(x,L(K(y,z),u,w)) = v5. [para(6369(a,1),4486(a,1))]. given #6038 (H,wt=22): 6400 ((x * y) * z) / ((x * T(y,u)) * z) = K(u,R(T(y,x),x,z)). [hyper(189,a,5815,a,b,6286,a(flip)),flip(a)]. given #6039 (H,wt=19): 6749 R(K(x,y),z * y,u) = K(T(x,z),R(T(y,z),z,u)). [hyper(189,a,5676,a(flip),b,6400,a(flip)),flip(a)]. given #6040 (H,wt=18): 6750 R(K(x,y),z * y,u) != w | K(x,R(y,z,u)) = w. [para(6749(a,2),6110(a,1))]. given #6041 (H,wt=13): 6751 K(R(x,y,z),y) = K(x,R(y,x,z)). [hyper(6750,a,5746,a),flip(a)]. given #6042 (H,wt=15): 6754 x * K(R(x,y,z),y) = T(x,R(y,x,z)). [para(6751(a,2),4396(a,2,2)),flip(a)]. given #6043 (H,wt=16): 6752 K(R(x,y,z),y) != u | K(x,R(y,x,z)) = u. [para(5746(a,1),6750(a,1))]. given #6044 (H,wt=22): 6430 K(T(x,y),(z * K(u,x)) \ w) != v5 | K(T(x,y),z \ w) = v5. [para(5396(a,1),6423(a,1,2,1,2))]. given #6045 (H,wt=17): 6755 K(T(x,y),y \ z) = K(x,z / (y * K(u,x))). [hyper(6430,a,6169,a)]. given #6046 (H,wt=15): 6756 K(x,y / (z * K(u,x))) = K(x,y / z). [hyper(6111,a,6755,a),flip(a)]. given #6047 (H,wt=15): 6757 K(x,y / (z * x)) = K(x,y / (x * z)). [para(95(a,1),6756(a,1,2,2))]. given #6048 (H,wt=17): 6758 K(x,y / ((z * y) * x)) = K(x,z \ (x \ 1)). [hyper(189,a,5699,a(flip),b,6757,a)]. given #6049 (H,wt=17): 6761 K(x,(y / z) \ (x \ 1)) = K(x,z / (y * x)). [para(19(a,1),6758(a,1,2,2,1)),flip(a)]. given #6050 (H,wt=18): 6759 K(x,R(y / x,x,z)) = K(x,(y * z) / (z * x)). [para(111(a,2),6757(a,2,2)),flip(a)]. given #6051 (H,wt=18): 6762 K(x,R(x \ y,x,z)) = K(x,(y * z) / (z * x)). [hyper(189,a,3893,a(flip),b,6759,a(flip)),flip(a)]. given #6052 (H,wt=22): 6431 K(x,(y * (x \ z)) \ u) != w | K(x,(y * (z / x)) \ u) = w. [para(5453(a,1),6423(a,1,2,1))]. given #6053 (H,wt=22): 6618 K(L(x,y,z),(z \ u) \ (x * y)) = K(x,u \ (z * (x * y))). [hyper(189,a,5915,a(flip),b,6613,a(flip))]. given #6054 (H,wt=22): 6637 x * K(y,z) != u * K(w,z) | u * (K(w,z) * K(z,y)) = x. [para(6627(a,1),23(a,2)),flip(b)]. given #6055 (H,wt=22): 6645 x * K(y,z) != u * K(w,z) | u * (K(z,y) * K(w,z)) = x. [para(6638(a,1),23(a,2)),flip(b)]. given #6056 (H,wt=22): 6646 (x * K(y,z)) * K(z,u) != w | x * (K(z,u) * K(y,z)) = w. [para(6638(a,1),3921(a,1,1)),flip(b)]. given #6057 (H,wt=22): 6650 x / (K(y,z) * K(z,u)) != w | x * (K(z,y) * K(u,z)) = w. [para(6644(a,1),248(a,1,1)),flip(b)]. given #6058 (H,wt=22): 6659 K(K(x,y) * T(y,z),T(u,z)) != w | K(y,T(u,T(x,z))) = w. [para(6292(a,2),6267(a,1))]. given #6059 (H,wt=22): 6690 (x * (y * z)) * K(u,L(y,z,x)) = x * ((y * z) * K(u,y)). [para(6687(a,1),102(a,1,2))]. given #6060 (H,wt=10): 6765 K(x,L(y,z,x)) = K(x,y). [hyper(6143,a,6690,a),flip(a)]. given #6061 (H,wt=12): 6769 T(x,L(y,z,x)) = K(x,y) * x. [para(6765(a,1),4403(a,2,1))]. given #6062 (H,wt=10): 6771 T(x,L(y,z,x)) = T(x,y). [hyper(189,a,4403,a,b,6769,a)]. given #6063 (H,wt=15): 6768 K(x,(x * y) \ z) = K(x,y \ (x \ z)). [para(183(a,1),6765(a,1,2))]. given #6064 (H,wt=15): 6772 T(x,(x \ y) \ z) = T(x,y \ (x * z)). [para(359(a,1),6771(a,1,2)),flip(a)]. given #6065 (H,wt=15): 6777 T(x,(x \ y) \ z) = T(x,y \ (z * x)). [hyper(189,a,6574,a,b,6772,a)]. given #6066 (H,wt=16): 6767 K(x,L(L(y,z,x),u,w)) = K(x,L(y,u,w)). [para(48(a,1),6765(a,1,2))]. given #6067 (H,wt=18): 6770 K(L(x,y,z),L(u,w,x)) = L(K(x,u),y * x,z). [para(6765(a,1),5541(a,1,1)),flip(a)]. given #6068 (H,wt=16): 6779 K(L(x,y,z),L(u,w,x)) = K(L(x,y,z),u). [hyper(189,a,5541,a(flip),b,6770,a)]. given #6069 (H,wt=19): 6775 (x * ((y / z) / x)) * z = y * K(x,z \ (x \ y)). [para(6768(a,1),5451(a,2,2))]. given #6070 (H,wt=17): 6782 x * (y * ((x \ 1) / y)) = K(y,x \ (y \ 1)). [hyper(74,a,4185,a(flip),b,6775,a(flip)),flip(a)]. given #6071 (H,wt=19): 6781 x * K(y,z \ (y \ x)) = z * (y * ((z \ x) / y)). [hyper(189,a,4185,a(flip),b,6775,a(flip))]. given #6072 (H,wt=19): 6785 (x * (y * ((x \ z) / y))) \ z = K(x \ (y \ z),y). [para(6781(a,1),3918(a,1,1))]. given #6073 (H,wt=21): 6774 K(x,K(y,y \ x) \ (x \ z)) = K(x,(y * (x / y)) \ z). [para(3903(a,1),6768(a,1,2,1)),flip(a)]. given #6074 (H,wt=21): 6776 L(K(x,y \ (x \ 1)),z,u) = K(x,L(x * y,z,u) \ 1). [para(6768(a,1),5885(a,1,1))]. given #6075 (H,wt=21): 6780 K(L(x,y,z),(x \ u) \ w) = K(L(x,y,z),u \ (x * w)). [para(359(a,1),6779(a,1,2)),flip(a)]. given #6076 (H,wt=21): 6789 K(x,K(y \ x,y) * (x \ z)) = K(x,(y * (x / y)) \ z). [para(3889(a,1),6774(a,1,2))]. given #6077 (H,wt=22): 6713 R(x,x \ y,x) * (x \ z) = (z / x) * ((x \ y) \ T(y,x)). [para(3670(a,1),6710(a,2,2))]. given #6078 (H,wt=22): 6742 L(T(x,y),z,u) \ (x * K(L(x,z,u),y)) = L(x,z,u) \ x. [hyper(80,a,6124,a)]. given #6079 (H,wt=22): 6748 K(L(x,y,L(x,z,u)),T(w,L(x,z,u) * y)) = K(x,T(w,y)). [hyper(6107,a,6288,a),flip(a)]. given #6080 (H,wt=16): 6794 K(x,T(y,L(x,z,u) * w)) = K(x,T(y,w)). [hyper(189,a,6464,a(flip),b,6748,a(flip)),flip(a)]. given #6081 (H,wt=16): 6796 K(x,T(y,L(x,z,u) \ w)) = K(x,T(y,w)). [para(17(a,1),6794(a,1,2,2)),flip(a)]. given #6082 (H,wt=22): 6760 K(x,y / (((x \ 1) * z) * x)) = K(x,y / L(z,x \ 1,x)). [para(166(a,1),6757(a,2,2,2))]. given #6083 (H,wt=22): 6764 (x * K(y,z)) * K(u,y) != w | x * (K(y,z) * K(u,y)) = w. [para(6653(a,2),6646(a,1))]. given #6084 (H,wt=22): 6773 T(x,L(y \ 1,x * y,z)) = T(x,(z * (x * y)) \ (z * x)). [para(707(a,1),6771(a,1,2)),flip(a)]. given #6085 (H,wt=19): 6798 T(x,L(y \ 1,x * y,z)) = T(x,L(y,x,z) \ 1). [hyper(189,a,5474,a(flip),b,6773,a)]. given #6086 (H,wt=19): 6799 T(x,L(y \ 1,x * y,z)) != u | T(x,y \ 1) = u. [para(6798(a,2),5940(a,1))]. given #6087 (H,wt=22): 6784 x * (y * ((x \ z) / y)) != z * u | K(y,x \ (y \ z)) = u. [para(6781(a,1),22(a,1))]. given #6088 (H,wt=22): 6797 T(x,L(y \ 1,x * y,z)) = T(x,(z * (x * y)) \ (x * z)). [hyper(189,a,6574,a(flip),b,6773,a)]. given #6089 (H,wt=17): 6800 T(x,(y * (x * z)) \ (x * y)) = T(x,z \ 1). [hyper(6799,a,6797,a),flip(a)]. given #6090 (H,wt=17): 6801 T(x,((x \ y) * (x * z)) \ y) = T(x,z \ 1). [para(17(a,1),6800(a,1,2,2))]. given #6091 (H,wt=17): 6802 T(x,((x \ y) * z) \ y) = T(x,(x \ z) \ 1). [para(17(a,1),6801(a,1,2,1,2))]. given #6092 (H,wt=15): 6803 T(x,((x \ y) * z) \ y) = T(x,z \ x). [hyper(189,a,5471,a(flip),b,6802,a)]. given #6093 (H,wt=15): 6804 T(x,(y * z) \ (x * y)) = T(x,z \ x). [para(16(a,1),6803(a,1,2,1,1))]. given #6094 (H,wt=15): 6805 T(x,(y * z) \ (y * x)) = T(x,z \ x). [hyper(189,a,6574,a,b,6804,a(flip)),flip(a)]. given #6095 (H,wt=15): 6806 T(x,(y \ z) \ x) = T(x,z \ (y * x)). [para(17(a,1),6805(a,1,2,1)),flip(a)]. given #6096 (H,wt=17): 6807 K(x,T(y,z \ (u * y))) = K(x,T(y,z \ u)). [para(6806(a,1),5476(a,1,2))]. given #6097 (H,wt=17): 6808 K(x,T(y,(y \ z) \ u)) = K(x,T(y,z \ u)). [para(6777(a,2),6807(a,1,2))]. given #6098 (H,wt=23): 5934 (x * (K(y,z) * u)) * L(K(z,T(y,u)),u,x) != w | x * u = w. [para(5924(a,1),203(a,1,2)),flip(b)]. given #6099 (H,wt=23): 5938 K(x,y) * (L(K(x,z),u,w) \ 1) = L(K(x,z),u,w) \ K(x,y). [para(5890(a,2),5911(a,2,2)),flip(a)]. given #6100 (H,wt=23): 5988 K(x,K(y,z)) * (K(z,u) * w) = K(z,u) * (K(z,K(x,y)) * w). [para(5969(a,2),5827(a,1,1))]. given #6101 (H,wt=23): 6083 K(T(x,x \ y),z \ (y * (x \ 1))) = K(x,(y * (x \ 1)) / z). [para(3619(a,1),6039(a,1,1))]. given #6102 (H,wt=21): 6812 K(T(x,y),z \ (y * (x \ 1))) = K(x,(y * (x \ 1)) / z). [hyper(5434,a,6083,a)]. given #6103 (H,wt=23): 6085 K(T(x,x \ y),((x \ 1) * y) \ z) = K(x,z / ((x \ 1) * y)). [para(3610(a,1),6041(a,1,1))]. given #6104 (H,wt=21): 6813 K(T(x,y),((x \ 1) * y) \ z) = K(x,z / ((x \ 1) * y)). [hyper(5434,a,6085,a)]. given #6105 (H,wt=23): 6091 x / (K(T(y,z),x) * K(x * K(z,x),z)) = T(x * K(z,x),y). [para(6047(a,1),4672(a,1,2,1))]. given #6106 (H,wt=19): 6815 x / (K(T(y,z),x) * K(x,z)) = T(x * K(z,x),y). [para(4430(a,1),6091(a,1,2,2))]. given #6107 (H,wt=19): 6816 T(x * K(y,x),z) \ x = K(T(z,y),x) * K(x,y). [para(6815(a,1),69(a,1,1))]. given #6108 (H,wt=19): 6818 T((x * y) / x,z) \ y = K(T(z,x),y) * K(y,x). [para(4375(a,2),6816(a,1,1,1))]. given #6109 (H,wt=19): 6819 T((x * y) / x,z) \ y = K(y,x) * K(T(z,x),y). [hyper(189,a,1959,a,b,6818,a)]. given #6110 (H,wt=23): 6116 T(K(x,y) * z,K(y,u)) * K(y,u) = K(x,y) * (K(y,u) * z). [hyper(189,a,5830,a(flip),b,6056,a)]. given #6111 (H,wt=23): 6125 T(x * y,z) * ((x * y) \ K(x,y)) = K(x,y) * K(x * y,z). [para(6019(a,1),6059(a,1,1))]. given #6112 (H,wt=21): 6822 T(x * y,z) * ((y * x) \ 1) = K(x,y) * K(x * y,z). [para(4704(a,1),6125(a,1,2))]. given #6113 (H,wt=23): 6136 K(x,y) * (K(z,x) * (u * K(y,x))) = K(z,x) * T(u,K(x,y)). [para(6122(a,1),5830(a,2,2))]. given #6114 (H,wt=23): 6173 L(x,y \ (K(z,y) * u),T(y,u)) = L(x,y \ (K(z,y) * u),y). [para(6162(a,1),4006(a,1,3))]. given #6115 (H,wt=21): 6824 L(x,T(y,z) \ u,T(y,u)) = L(x,y \ (K(z,y) * u),y). [para(4551(a,1),6173(a,1,2))]. given #6116 (H,wt=19): 6825 L(x,T(y,z) \ u,T(y,u)) = L(x,T(y,z) \ u,y). [para(4551(a,1),6824(a,2,2))]. given #6117 (H,wt=22): 6826 T(x,y) * ((T(x,y) \ y) * z) = y * L(z,T(x,y) \ y,x). [para(6825(a,1),344(a,1,2)),flip(a)]. given #6118 (H,wt=22): 6827 T(x,y) * ((x \ T(y,x)) * z) = y * L(z,T(x,y) \ y,x). [para(3529(a,1),6826(a,1,2,1))]. given #6119 (H,wt=22): 6828 T(x,y) * ((x \ T(y,x)) * z) = y * L(z,x \ T(y,x),x). [para(3529(a,1),6827(a,2,2,2))]. given #6120 (H,wt=23): 6184 R(K(x,y),(y * K(z,x)) * u,w) = K(x,R(y * K(z,x),u,w)). [para(6177(a,1),5683(a,1,1))]. given #6121 (H,wt=23): 6191 K((T(x,y) * z) \ u,T(x,x * z)) = K(u / (T(x,y) * z),x). [para(6170(a,1),6033(a,1,2))]. given #6122 (H,wt=21): 6830 K((T(x,y) * z) \ u,T(x,z)) = K(u / (T(x,y) * z),x). [hyper(5499,a,6191,a)]. given #6123 (H,wt=23): 6296 T(x * y,y) / (T(x * y,y) / x) = x * K(y,T(x,x * y)). [para(6075(a,1),4318(a,2,2))]. given #6124 (H,wt=19): 6831 T(x * y,y) / (T(x * y,y) / x) = x * K(y,x). [para(3403(a,1),6296(a,2,2))]. given #6125 (H,wt=22): 6832 T(x * K(y,x),T(x * y,y)) = L(x,y * K(x * y,y),x). [para(6831(a,1),4665(a,1,1))]. given #6126 (H,wt=15): 6833 L(x,y * K(x * y,y),x) = L(x,y,x). [hyper(189,a,6681,a(flip),b,6832,a(flip))]. given #6127 (H,wt=12): 6834 L(x,R(y,x,y),x) = L(x,y,x). [hyper(189,a,4625,a(flip),b,6833,a(flip)),flip(a)]. given #6128 (H,wt=23): 6308 T(x,y) / T(z * (x / z),u) = T(z * (x / z),u) \ T(x,y). [para(5665(a,1),6304(a,1,1,1)),flip(a)]. given #6129 (H,wt=23): 6341 K(x,y) * (z * T(z \ (K(x,y) \ u),y)) = T(u / z,y) * z. [para(6338(a,1),1160(a,1,1)),flip(a)]. given #6130 (H,wt=23): 6377 T(x,T((y * z) \ y,u)) = K(x,u) * T(x * K(u,x),z \ 1). [para(5472(a,1),6375(a,1,2)),flip(a)]. given #6131 (H,wt=17): 6838 T(x,T((y * z) \ y,u)) = T(x,T(z \ 1,u)). [hyper(189,a,6375,a(flip),b,6377,a)]. given #6132 (H,wt=17): 6839 T(x,T((y \ z) \ 1,u)) = T(x,T(z \ y,u)). [para(17(a,1),6838(a,1,2,1,1)),flip(a)]. given #6133 (H,wt=17): 6840 T(x,y \ ((z \ u) \ y)) = T(x,T(u \ z,y)). [hyper(5512,a,6839,a)]. given #6134 (H,wt=23): 6432 T(x,(y * (z * K(x,u))) \ w) = 1 / (x \ K((y * z) \ w,x)). [para(6419(a,1),4466(a,2,2,2))]. given #6135 (H,wt=19): 6841 T(x,(y * (z * K(x,u))) \ w) = T(x,(y * z) \ w). [hyper(189,a,4466,a,b,6432,a)]. given #6136 (H,wt=19): 6842 T(x,(y * (z * x)) \ u) = T(x,(y * (x * z)) \ u). [para(95(a,1),6841(a,1,2,1,2)),flip(a)]. given #6137 (H,wt=23): 6567 K(x,y) * (K(z,x) * (u * K(y,x))) = T(K(z,x) * u,K(x,y)). [para(6522(a,1),6122(a,1,2))]. given #6138 (H,wt=19): 6843 T(K(x,y) * z,K(y,u)) = K(x,y) * T(z,K(y,u)). [hyper(189,a,6136,a(flip),b,6567,a(flip))]. given #6139 (H,wt=19): 6844 T(x * K(y,z),K(y,u)) = T(x,K(y,u)) * K(y,z). [hyper(4992,a,6843,a),flip(a)]. given #6140 (H,wt=19): 6845 T(x * K(y,z * x),K(y,z)) = K(y,z * x) * x. [hyper(189,a,6668,a(flip),b,6844,a)]. given #6141 (H,wt=19): 6846 T(x * K(y,z),K(y,u)) \ T(x,K(y,u)) = K(z,y). [para(6844(a,2),3918(a,1,1))]. given #6142 (H,wt=22): 6847 T(x * K(y,z),K(y,u)) \ T(x,K(y,u)) != w | K(z,y) = w. [para(6844(a,2),3922(a,1,1))]. given #6143 (H,wt=23): 6577 T(K(x,K(y,z)) * u,K(x,w)) = K(z,K(x,y)) * T(u,K(x,w)). [para(5969(a,1),6561(a,2,1))]. given #6144 (H,wt=23): 6578 K(x \ (((y \ 1) \ 1) * z),T(z,u)) = K(x \ (z * y),T(z,u)). [hyper(189,a,5567,a(flip),b,6570,a)]. given #6145 (H,wt=23): 6678 (K(x,y) * z) * K(z,z \ T(x,y)) = T(K(x,y) * z,z \ x). [para(6677(a,1),4396(a,2,2)),flip(a)]. given #6146 (H,wt=21): 6850 K(x,y) * T(z,z \ T(x,y)) = T(K(x,y) * z,z \ x). [hyper(5189,a,6678,a)]. given #6147 (H,wt=21): 6851 K(x,y) * T(K(y,x) * z,z \ y) = T(z,z \ T(y,x)). [hyper(3907,a,6850,a)]. given #6148 (H,wt=23): 6708 T(x * K(y \ z,x),T(y \ z,y)) = T(x * K(y,x),T(y,z)). [hyper(189,a,6402,a,b,6707,a(flip)),flip(a)]. given #6149 (H,wt=23): 6719 T((T(x,y) \ K(z,x)) * T(x,y),T(x,u)) = (T(x,z) \ 1) * x. [hyper(4186,a,6718,a)]. given #6150 (H,wt=19): 6852 T((T(x,y) \ 1) * x,T(x,z)) = (T(x,y) \ 1) * x. [para(6718(a,1),6719(a,1,1))]. given #6151 (H,wt=23): 6736 (K(x,y) * z) \ (K(x,u) * z) = K(x,T(u,z)) * K(y,T(x,z)). [para(5345(a,1),6723(a,1,2))]. given #6152 (H,wt=23): 6778 K(x,y) * K(x,K(y,z \ (u * y))) = K(x,T(y,(y \ z) \ u)). [para(6777(a,2),6012(a,2,2))]. given #6153 (H,wt=23): 6783 (x * y) * (z * (((x * y) \ x) / z)) = x * K(z,y \ (z \ 1)). [para(6782(a,1),5662(a,2,2))]. given #6154 (H,wt=17): 6853 K(x,(y * z) \ (x \ y)) = K(x,z \ (x \ 1)). [hyper(6784,a,6783,a)]. given #6155 (H,wt=17): 6854 K(x,(y \ z) \ (x \ 1)) = K(x,z \ (x \ y)). [para(17(a,1),6853(a,1,2,1)),flip(a)]. given #6156 (H,wt=21): 6855 K((x * y) \ (z \ x),z) = (u * K(z,y \ (z \ 1))) \ u. [para(6853(a,1),3918(a,1,1,2)),flip(a)]. given #6157 (H,wt=17): 6859 K((x * y) \ (z \ x),z) = K(y \ (z \ 1),z). [hyper(189,a,3918,a(flip),b,6855,a)]. given #6158 (H,wt=21): 6856 K(1 / x,y \ ((1 / x) \ z)) = K(1 / x,(z \ y) \ x). [para(69(a,1),6854(a,1,2,2)),flip(a)]. given #6159 (H,wt=23): 6792 K(x,(y * (x / y)) \ (z * x)) = K(x,K(y \ x,y) * T(z,x)). [para(35(a,2),6789(a,1,2,2)),flip(a)]. given #6160 (H,wt=23): 6811 K(x,K(y,z)) * (K(z,u) * w) = K(z,u) * (K(x,K(y,z)) * w). [para(5969(a,2),5988(a,2,2,1))]. given #6161 (H,wt=23): 6821 (x * K(y * z,y)) * K(y,z) = K(y * z,y) * (K(y,z) * x). [para(6356(a,1),6116(a,1,1))]. given #6162 (H,wt=23): 6835 L(x,R(T(y,y * x),x,T(y,y * x)),x) = L(x,L(y,x,y),x). [hyper(189,a,3727,a(flip),b,6834,a)]. given #6163 (H,wt=14): 6865 L(x,L(y,x,y),x) = L(x,T(y,x),x). [para(3609(a,1),6835(a,1,2)),flip(a)]. given #6164 (H,wt=12): 6866 L(x,L(y,x,y),x) = L(x,y,x). [hyper(189,a,3724,a(flip),b,6865,a)]. given #6165 (H,wt=18): 6867 L(R(x,y,z),L(u,x,u),x) = R(L(x,u,x),y,z). [para(6866(a,1),47(a,1,1)),flip(a)]. given #6166 (H,wt=18): 6868 L(R(x,y,z),L(u,x,u),x) = L(R(x,y,z),u,x). [hyper(189,a,47,a(flip),b,6867,a)]. given #6167 (H,wt=23): 6836 K((x / y) \ 1,x * K(y,z)) = T(x * (y / x),z) \ T(y,z). [hyper(189,a,5782,a,b,6308,a(flip)),flip(a)]. given #6168 (H,wt=19): 6870 K((x / y) \ 1,x * K(y,z)) = K(x \ T(y,z),x). [hyper(189,a,4182,a(flip),b,6836,a)]. given #6169 (H,wt=17): 6871 K(x \ y,K(y,z) * x) = K(x \ T(y,z),x). [hyper(189,a,6372,a(flip),b,6870,a(flip)),flip(a)]. given #6170 (H,wt=23): 6837 K(x,y) * (z * T(z \ (K(x,y) \ u),y)) = z * T(z \ u,y). [hyper(189,a,323,a(flip),b,6341,a)]. given #6171 (H,wt=23): 6849 T(K(x,K(y,z)) * u,K(y,w)) = K(x,K(y,z)) * T(u,K(y,w)). [para(5969(a,1),6577(a,1,1,1))]. given #6172 (H,wt=23): 6863 K(x,y) * (K(z,K(u,x)) * (K(x,y) \ w)) = K(z,K(u,x)) * w. [hyper(254,a,6811,a),flip(a)]. given #6173 (H,wt=23): 6864 K(x * y,x) * (K(x,y) * z) = z * (K(x,y) * K(x * y,x)). [hyper(6646,a,6821,a),flip(a)]. given #6174 (H,wt=23): 6873 K(x,y) * (K(z,K(x,u)) * (K(x,y) \ w)) = K(u,K(z,x)) * w. [para(5969(a,2),6863(a,1,2,1))]. given #6175 (H,wt=24): 5947 (x * y) * z != x * (y * K(u,(x \ 1) \ y)) | K(u,x * y) = z. [para(5945(a,2),22(a,1)),flip(a)]. given #6176 (H,wt=24): 6078 L(K(x,T(y \ z,u)),y \ z,y) = K((u * x) / u,(z \ y) \ 1). [para(6034(a,1),4928(a,1,1))]. given #6177 (H,wt=22): 6874 L(K(x,T(y \ z,u)),y \ z,y) = K(x,T((z \ y) \ 1,u)). [hyper(189,a,6034,a(flip),b,6078,a)]. given #6178 (H,wt=17): 6875 K(x,T((y \ z) \ 1,u)) = K(x,T(z \ y,u)). [hyper(189,a,5515,a(flip),b,6874,a(flip))]. given #6179 (H,wt=17): 6876 K(x,T(1 / (y \ z),u)) = K(x,T(z \ y,u)). [hyper(5329,a,6875,a)]. given #6180 (H,wt=17): 6878 K(x,y \ ((z \ u) \ y)) = K(x,T(u \ z,y)). [hyper(189,a,5367,a(flip),b,6875,a(flip)),flip(a)]. given #6181 (H,wt=24): 6088 K(T(x,y),T(z,R(x,u,w) * y)) = K(R(x,y,R(T(x,y),u,w)),z). [para(5811(a,1),6046(a,1,1)),flip(a)]. given #6182 (H,wt=24): 6240 L(K(x,y \ (x * (z \ u))),z \ u,z) = K(x,(z * (x \ y)) \ u). [para(6141(a,1),5914(a,1,1))]. given #6183 (H,wt=24): 6273 K(x \ (K(y,z) * u),T(y,u)) != w | K((K(y,z) * u) / x,y) = w. [para(6161(a,1),6100(a,1,2))]. given #6184 (H,wt=17): 6880 K(x \ y,T(z,y)) = K((K(z,u) * y) / x,z). [hyper(6273,a,6541,a),flip(a)]. given #6185 (H,wt=15): 6881 K((K(x,y) * z) / u,x) = K(z / u,x). [hyper(6100,a,6880,a),flip(a)]. given #6186 (H,wt=15): 6882 K((x * K(y,z)) / u,z) = K(x / u,z). [para(6052(a,1),6881(a,1,1,1)),flip(a)]. given #6187 (H,wt=17): 6884 K((x * T(y,z)) / u,z) = K((x * y) / u,z). [para(1078(a,1),6882(a,1,1,1))]. given #6188 (H,wt=21): 6885 K(x,(y * T(z,x)) / u) = (w * K((y * z) / u,x)) \ w. [para(6884(a,1),3918(a,1,1,2)),flip(a)]. given #6189 (H,wt=20): 6886 K(x,(y * T(z,x)) / u) != w | K(x,(y * z) / u) = w. [para(6885(a,2),3922(a,1))]. given #6190 (H,wt=24): 6299 R(K(x,T(T(y,z),z * u)),z,u) = K(((z / x) * u) \ (z * u),y). [para(6099(a,1),5759(a,1,1))]. given #6191 (H,wt=24): 6302 K(K(x,y) * (z * x),u) != w | K(z * T(x,y),T(u,K(x,y))) = w. [para(6135(a,1),5488(a,1,1))]. given #6192 (H,wt=24): 6303 (x * (y * T(x,z))) \ ((x * y) * T(x,z)) = a(x,y * K(x,z),x). [para(6144(a,1),5142(a,1,2))]. given #6193 (H,wt=18): 6889 a(x,y * K(x,z),x) != u | a(x,y,T(x,z)) = u. [para(6303(a,1),553(a,1))]. given #6194 (H,wt=24): 6320 T(x,y) * z != K(x,y) * (u * x) | T(T(u,K(x,y)),T(x,y)) = z. [para(6239(a,1),148(a,2))]. given #6195 (H,wt=24): 6405 K(x * K(T(x,y),z),T(u,y)) != w | K(K(y,x) * T(x,z),u) = w. [para(6403(a,1),6101(a,1,1))]. given #6196 (H,wt=24): 6568 R(K(x \ (y \ z),z / y),z / y,y) = K(z / (x * y),z / y). [para(6533(a,1),5765(a,1,1))]. given #6197 (H,wt=19): 6890 K(x / (y * z),x / z) = K(y \ (z \ x),x / z). [hyper(189,a,3831,a(flip),b,6568,a(flip))]. given #6198 (H,wt=19): 6891 K((x * y) \ z,y \ z) = K(x \ (y \ z),z / y). [hyper(6068,a,6890,a)]. given #6199 (H,wt=23): 6893 (x * K(y \ (z \ u),u / z)) \ x = K(z \ u,(y * z) \ u). [para(6891(a,1),3918(a,1,1,2))]. given #6200 (H,wt=19): 6895 K(x / y,z \ (y \ x)) = K(y \ x,(z * y) \ x). [hyper(3922,a,6893,a)]. given #6201 (H,wt=24): 6673 K(R(x,y / x,z),T(u,x \ y)) = K((y * z) / ((y / x) * z),u). [para(111(a,1),6379(a,1,1)),flip(a)]. given #6202 (H,wt=24): 6728 T(x,y) * T(z,K(x,y)) != K(x,y) * u | T(x * z,K(x,y)) = u. [para(6726(a,2),148(a,2)),flip(a)]. given #6203 (H,wt=24): 6731 K(x,y) * R(x,z,L(x,u,w)) != v5 | R(T(x,y),z,L(x,u,w)) = v5. [para(6700(a,2),5484(a,1))]. given #6204 (H,wt=24): 6733 ((x * y) / x) / ((x * (y * K(z,y))) / x) != u | K(y,T(z,x)) = u. [para(6720(a,1),3910(a,1,2))]. given #6205 (H,wt=24): 6741 L(K(x,T(T(y,z),u * z)),z,u) = (u * (K(x,y) * z)) / (u * z). [para(5345(a,1),6025(a,1,1,2)),flip(a)]. given #6206 (H,wt=24): 6809 K(x,T(y,(y \ z) \ u)) != K(x,y) * w | K(x,K(y,z \ u)) = w. [para(6808(a,2),6020(a,1))]. given #6207 (H,wt=17): 6897 K(x,K(y,z \ (u * y))) = K(x,K(y,z \ u)). [hyper(6809,a,6778,a(flip)),flip(a)]. given #6208 (H,wt=24): 6820 K(x,y) * K(T(L(x,z,u) * y,y),x) = L(x,y,L(x,z,u)) \ x. [para(1295(a,1),6819(a,1,1)),flip(a)]. given #6209 (H,wt=24): 6860 K((x * (y * z)) \ (u \ (x * y)),u) = K(L(z,y,x) \ (u \ 1),u). [para(102(a,1),6859(a,1,1,1))]. given #6210 (H,wt=24): 6861 K(1 / x,y \ ((1 / x) \ z)) != u | K(x \ 1,(z \ y) \ x) = u. [para(6856(a,2),4254(a,1))]. given #6211 (H,wt=24): 6862 K(x,(y * (x / y)) \ (z * x)) != u | K(x,K(y \ x,y) * z) = u. [para(6792(a,2),6492(a,1))]. given #6212 (H,wt=24): 6879 K(R(x,y,R(T(x,y),z,u)),T(w,y)) = K(x,T(w,R(x,z,u) * y)). [hyper(6107,a,6088,a),flip(a)]. given #6213 (H,wt=25): 5922 (x * (y * K(z,u))) * L(K(u,z),y,x) != w * v5 | (x * y) / v5 = w. [para(5909(a,1),298(a,1,2))]. given #6214 (H,wt=25): 5937 L(K(x,T(y,z)),z,L(y,u,w)) != v5 | K(x,T(y,L(y,u,w) * z)) = v5. [para(5925(a,1),5496(a,1))]. given #6215 (H,wt=25): 5948 K((x \ y) \ (x \ z),x * (x \ z)) = K(y \ z,(x \ 1) \ (x \ z)). [para(17(a,1),5946(a,1,1,2)),flip(a)]. given #6216 (H,wt=21): 6899 K(x \ y,(z \ 1) \ (z \ y)) = K((z \ x) \ (z \ y),y). [para(17(a,1),5948(a,1,2)),flip(a)]. given #6217 (H,wt=25): 6172 T(x,y) * K(z,T(x,K(x,u) * y)) = T(x * K(z,x),K(x,u) * y). [para(6161(a,1),4653(a,1,1))]. given #6218 (H,wt=21): 6901 T(x * K(y,x),K(x,z) * u) = T(x,u) * K(y,T(x,u)). [para(6161(a,1),6172(a,1,2,2)),flip(a)]. given #6219 (H,wt=19): 6902 T(x * K(y,x),K(x,z) * u) = T(x * K(y,x),u). [hyper(189,a,4653,a(flip),b,6901,a)]. given #6220 (H,wt=25): 6281 K(x,K(y,z)) * (T(z,y) * K(x \ y,x)) = K(x \ y,x) * T(z,y). [para(6004(a,1),5980(a,1,1))]. given #6221 (H,wt=21): 6905 T(x,T(y,z)) * K(z \ y,z) = K(z \ y,z) * T(x,y). [hyper(189,a,6609,a(flip),b,6281,a(flip)),flip(a)]. given #6222 (H,wt=25): 6291 T((x * (y * K(T(z,u),y))) / x,u) = (x * (K(z,y) * T(y,u))) / x. [para(6049(a,1),330(a,1,1,2)),flip(a)]. given #6223 (H,wt=25): 6446 K(x,((y \ (x * z)) \ (x * z)) \ x) = K(x,T(y \ (x * z),y) / z). [para(3585(a,1),6444(a,1,2,1))]. given #6224 (H,wt=25): 6564 K(x,y) * (z * K((u * w) / u,x)) = (K(x,y) * z) * K(w,T(x,u)). [para(6034(a,1),6509(a,1,2)),flip(a)]. given #6225 (H,wt=23): 6906 (K(x,y) * z) * K(u,T(x,w)) = K(x,y) * (z * K(u,T(x,w))). [para(6034(a,1),6564(a,1,2,2)),flip(a)]. given #6226 (H,wt=25): 6583 R(x \ y,(y / x) \ z,x \ y) = R(x \ y,(x \ y) \ z,x \ y). [para(4308(a,1),6582(a,1,2))]. given #6227 (H,wt=20): 6907 R(x \ y,(x \ y) \ x,x \ y) = ((y / x) \ x) \ x. [hyper(189,a,4993,a(flip),b,6583,a(flip))]. given #6228 (H,wt=25): 6660 K(T(x * K(y \ (z * x),x),x),u) = K(x,T(u,T(z \ y,x) \ x)). [para(5535(a,1),6295(a,1,1,1,2))]. given #6229 (H,wt=25): 6738 K(x,y) * (x \ R(x,z,R(x,u,w))) = x \ R(T(x,y),z,R(x,u,w)). [hyper(75,a,6730,a(flip),b,4552,a),flip(a)]. given #6230 (H,wt=25): 6747 T(K(T(x,y \ 1),(1 / y) \ 1),z) = K(x,K(1 / y,z) / (1 / y)). [hyper(6275,a,6300,a(flip)),flip(a)]. given #6231 (H,wt=21): 6908 K(x,K(1 / y,z) / (1 / y)) = T(K(T(x,y \ 1),y),z). [para(69(a,1),6747(a,1,1,2)),flip(a)]. given #6232 (H,wt=17): 6909 K(x,K(1 / y,z) / (1 / y)) = T(K(x,y),z). [para(5386(a,1),6908(a,2,1))]. given #6233 (H,wt=17): 6910 K(x,1 / (K(y,z \ 1) / z)) = T(K(x,z),y). [para(4677(a,1),6909(a,1,2))]. given #6234 (H,wt=15): 6911 K(x,y * K(y \ 1,z)) = T(K(x,y),z). [hyper(189,a,4779,a(flip),b,6910,a(flip)),flip(a)]. given #6235 (H,wt=18): 6912 K(x,y * K(y \ 1,z)) != u | K(x,T(y,z)) = u. [para(6911(a,2),5490(a,1))]. given #6236 (H,wt=13): 6913 K(x * y,T(y,x)) = K(y \ 1,x). [hyper(6912,a,6371,a)]. given #6237 (H,wt=11): 6914 K(x \ 1,y) = K(x * y,x). [hyper(3735,a,6913,a),flip(a)]. given #6238 (H,wt=10): 6922 L(x,y,K(x \ 1,z)) = x. [para(6914(a,2),6512(a,1,3))]. given #6239 (H,wt=11): 6917 K(x \ 1,y / x) = K(y,x). [hyper(189,a,4619,a(flip),b,6914,a)]. given #6240 (H,wt=12): 6926 L(x \ 1,y,K(x,z)) = x \ 1. [para(2648(a,1),6922(a,1,3))]. given #6241 (H,wt=13): 6916 K(x * K(y \ 1,z),y) = K(x,y). [para(6913(a,1),6200(a,1,1,2))]. given #6242 (H,wt=13): 6920 K(x,y / K(x \ 1,z)) = K(x,y). [para(6914(a,2),6176(a,1,2,2))]. given #6243 (H,wt=13): 6933 K(K(x,y \ 1) * z,y) = K(z,y). [para(5348(a,1),6916(a,1,1)),flip(a)]. given #6244 (H,wt=13): 6936 K(K(x \ 1,y) \ z,x) = K(z,x). [para(3889(a,2),6933(a,1,1))]. given #6245 (H,wt=14): 6915 K(x \ 1,y) != z | K(y * x,x) = z. [para(6913(a,1),5280(a,1))]. given #6246 (H,wt=15): 6932 K(x / T(y,z \ 1),z) = K(x / y,z). [para(5178(a,1),6916(a,1,1))]. given #6247 (H,wt=15): 6934 K(T(x,y \ 1) \ z,y) = K(x \ z,y). [para(5457(a,1),6916(a,1,1))]. given #6248 (H,wt=15): 6935 K(x \ 1,y / K(x,z)) = K(x \ 1,y). [para(2648(a,1),6920(a,1,2,2))]. given #6249 (H,wt=15): 6937 K(x \ T(y,z \ 1),z) = K(x \ y,z). [para(4757(a,1),6933(a,1,1))]. given #6250 (H,wt=17): 6923 K(x,y / (z * K(x \ 1,u))) = K(x,y / z). [para(6914(a,2),6756(a,1,2,2,2))]. given #6251 (H,wt=17): 6939 K(x / (y * (z \ 1)),z) = K(x / (z \ y),z). [para(4242(a,1),6932(a,1,1,2))]. given #6252 (H,wt=17): 6940 K(x \ 1,y / T(z,x)) = K(x \ 1,y / z). [para(5177(a,1),6935(a,1,2)),flip(a)]. given #6253 (H,wt=17): 6941 K(x \ (y * (z \ 1)),z) = K(x \ (z \ y),z). [para(4242(a,1),6937(a,1,1,2))]. given #6254 (H,wt=19): 6925 (K(x \ 1,y) * z) * x = K(x \ 1,y) * (z * x). [para(6922(a,1),102(a,1,2))]. given #6255 (H,wt=14): 6943 K(R(x,y,x) \ 1,z) = K(x \ 1,z). [hyper(4939,a,6925,a)]. given #6256 (H,wt=14): 6945 K(x \ 1,R(y,z,x)) = K(x \ 1,y). [hyper(189,a,5685,a(flip),b,6943,a(flip)),flip(a)]. given #6257 (H,wt=19): 6946 K(x \ 1,(y * x) / (z * x)) = K(x \ 1,y / z). [para(111(a,1),6945(a,1,2))]. given #6258 (H,wt=20): 6928 (K(x,y) * (z * x)) \ (K(x,y) * z) = L(x \ 1,x,z). [para(6926(a,1),707(a,1,1)),flip(a)]. given #6259 (H,wt=21): 6938 (K(x \ 1,y) \ z) * K(z,x) = T(K(x \ 1,y) \ z,x). [para(6936(a,1),4396(a,2,2)),flip(a)]. given #6260 (H,wt=21): 6947 (K(x,y \ 1) * z) * K(z,y) = T(K(y \ 1,x) \ z,y). [para(3889(a,1),6938(a,1,1))]. given #6261 (H,wt=19): 6948 T(K(x \ 1,y) \ z,x) = K(y,x \ 1) * T(z,x). [hyper(5189,a,6947,a),flip(a)]. given #6262 (H,wt=19): 6949 T(K(x,y \ 1) * z,y) = K(x,y \ 1) * T(z,y). [para(3889(a,1),6948(a,1,1))]. given #6263 (H,wt=19): 6950 T(x * K(y \ 1,z),y) = T(x,y) * K(y \ 1,z). [hyper(4992,a,6949,a),flip(a)]. given #6264 (H,wt=21): 6952 T((x / y) * K(y \ 1,z),y) = (y \ x) * K(y \ 1,z). [para(115(a,1),6950(a,2,1))]. given #6265 (H,wt=19): 6953 x \ (y * K(x \ 1,z)) = (x \ y) * K(x \ 1,z). [hyper(4966,a,6952,a)]. given #6266 (H,wt=19): 6954 x * ((x \ y) * K(x \ 1,z)) = y * K(x \ 1,z). [para(6953(a,1),17(a,1,2))]. given #6267 (H,wt=19): 6955 (x * y) * K(x \ 1,z) = x * (y * K(x \ 1,z)). [para(16(a,1),6954(a,1,2,1)),flip(a)]. given #6268 (H,wt=10): 6957 R(x,y,K(x \ 1,z)) = x. [hyper(376,a,6955,a)]. given #6269 (H,wt=8): 6962 R(x,y,K(z,x)) = x. [para(6917(a,1),6957(a,1,3))]. given #6270 (H,wt=10): 6966 R(x,y,K(z,T(x,u))) = x. [para(5337(a,1),6962(a,1,3))]. given #6271 (H,wt=12): 6961 R(x \ 1,y,K(x,z)) = x \ 1. [para(2648(a,1),6957(a,1,3))]. given #6272 (H,wt=14): 6956 K(L(x,y,x) \ 1,z) = K(x \ 1,z). [hyper(4941,a,6955,a)]. given #6273 (H,wt=18): 6969 K(x,L(y,z,y) \ 1) = (u * K(y \ 1,x)) \ u. [para(6956(a,1),3918(a,1,1,2)),flip(a)]. given #6274 (H,wt=14): 6970 K(x,L(y,z,y) \ 1) = K(x,y \ 1). [hyper(189,a,3918,a(flip),b,6969,a)]. given #6275 (H,wt=19): 6958 K(x \ 1,(x \ y) \ z) = K(x \ 1,y \ (x * z)). [hyper(20,a,5926,a,b,6955,a)]. given #6276 (H,wt=19): 6965 (T(x,y) * z) * K(u,x) = T(x,y) * (z * K(u,x)). [para(6962(a,1),380(a,1,1,1)),flip(a)]. given #6277 (H,wt=12): 6975 L(K(x,y),z,T(y,u)) = K(x,y). [hyper(5798,a,6965,a)]. given #6278 (H,wt=12): 6976 K(L(x,y,T(z,u)),z) = K(x,z). [hyper(189,a,6613,a(flip),b,6975,a(flip)),flip(a)]. given #6279 (H,wt=10): 6980 K(L(x,y,z),z) = K(x,z). [para(112(a,1),6976(a,1,1,3))]. given #6280 (H,wt=15): 6982 K((x * y) \ z,x) = K(y \ (x \ z),x). [para(183(a,1),6980(a,1,1))]. given #6281 (H,wt=15): 6985 K((x \ y) \ (x \ z),x) = K(y \ z,x). [para(17(a,1),6982(a,1,1,1)),flip(a)]. given #6282 (H,wt=15): 6987 K((x \ y) \ z,x) = K(y \ (z * x),x). [hyper(6278,a,6985,a)]. given #6283 (H,wt=15): 6989 K((x / y) \ z,y) = K(x \ (z * y),y). [hyper(6235,a,6987,a)]. given #6284 (H,wt=15): 6990 K((x * y) \ (z * y),y) = K(x \ z,y). [para(18(a,1),6989(a,1,1,1)),flip(a)]. given #6285 (H,wt=15): 6991 K((x * y) \ z,y) = K(x \ (y \ z),y). [hyper(189,a,6532,a(flip),b,6990,a(flip)),flip(a)]. given #6286 (H,wt=16): 6984 K(x,T(y,L(z,u,x))) = K(x * K(z,x),y). [para(6980(a,1),6046(a,1,1,2)),flip(a)]. given #6287 (H,wt=14): 6995 K(x,T(y,L(z,u,x))) = K(x,T(y,z)). [hyper(189,a,6046,a(flip),b,6984,a)]. given #6288 (H,wt=17): 6996 K(x,T(x * y,y * z)) = K(x,T(x * y,z)). [hyper(189,a,5591,a(flip),b,6995,a(flip)),flip(a)]. given #6289 (H,wt=17): 6999 K(x,T(x * y,y \ z)) = K(x,T(x * y,z)). [para(17(a,1),6996(a,1,2,2)),flip(a)]. given #6290 (H,wt=18): 6988 K(x \ (y * z),z) != u | K((z \ x) \ y,z) = u. [para(6985(a,1),6278(a,1))]. given #6291 (H,wt=18): 6994 K((x * y) \ (z * y),y) != u | K(x \ z,y) = u. [para(6991(a,2),6278(a,1))]. given #6292 (H,wt=19): 6968 ((x \ 1) * y) * K(x,z) = (x \ 1) * (y * K(x,z)). [para(6961(a,1),110(a,1,1)),flip(a)]. given #6293 (H,wt=12): 7002 K(x,L(y,z,x \ 1)) = K(x,y). [hyper(20,a,6690,a,b,6968,a),flip(a)]. given #6294 (H,wt=19): 6977 K((T(x,y) * z) \ u,x) = K(z \ (T(x,y) \ u),x). [hyper(189,a,5528,a(flip),b,6975,a(flip)),flip(a)]. given #6295 (H,wt=17): 7004 K((T(x,y) * z) \ u,x) = K(z \ (x \ u),x). [hyper(189,a,6536,a(flip),b,6977,a)]. given #6296 (H,wt=19): 6992 (x * K(y \ (z \ u),z)) \ x = K(z,(y * z) \ u). [para(6991(a,1),3918(a,1,1,2))]. given #6297 (H,wt=18): 7007 K(x,(y * x) \ z) != u | K(x,y \ (x \ z)) = u. [para(6992(a,1),3922(a,1))]. given #6298 (H,wt=19): 6997 K(x,T(y,(x \ z) \ u)) = K(x,T(y,z \ (x * u))). [para(359(a,1),6995(a,1,2,2)),flip(a)]. given #6299 (H,wt=19): 7003 K(x,L((1 / x) * y,z,u)) = K(x,L(x \ y,z,u)). [para(2383(a,1),7002(a,1,2))]. given #6300 (H,wt=21): 6993 (x * y) * T((x * y) \ z,y) = z * K(x \ (y \ z),y). [para(6991(a,1),5160(a,2,2))]. given #6301 (H,wt=19): 7010 ((x \ (y / z)) * x) * z = y * K(z \ (x \ y),x). [hyper(189,a,4199,a(flip),b,6993,a(flip)),flip(a)]. given #6302 (H,wt=21): 7000 K(x / y,T((x / y) * y,z)) = K(x / y,T(x,y \ z)). [para(19(a,1),6999(a,1,2,1)),flip(a)]. given #6303 (H,wt=21): 7008 K(x,L(x \ y,x,z)) != u | K(x,z \ (x \ (z * y))) = u. [para(104(a,2),7007(a,1,2))]. given #6304 (H,wt=18): 7013 K(x,L(x \ y,x,z)) = K(x,z \ (x \ (z * y))). [hyper(7008,a,xx),flip(a)]. given #6305 (H,wt=21): 7011 (x * y) * K(y \ (z \ (x * y)),z) = ((z \ x) * z) * y. [para(18(a,1),7010(a,1,1,1,2)),flip(a)]. given #6306 (H,wt=19): 7015 K(x,y / (((x \ z) * x) * u)) = K(x,y / (z * u)). [para(7011(a,1),6756(a,1,2,2))]. given #6307 (H,wt=19): 7016 K(x,y / ((z * x) * u)) = K(x,y / ((x * z) * u)). [para(16(a,1),7015(a,1,2,2,1,1))]. given #6308 (H,wt=21): 7012 K(x / y,T((x / y) * y,z)) = K(y \ x,T(x,y \ z)). [hyper(189,a,4844,a(flip),b,7000,a)]. given #6309 (H,wt=17): 7017 K(x \ y,T(y,x \ z)) = K(y / x,T(y,z)). [para(19(a,1),7012(a,1,2,1)),flip(a)]. given #6310 (H,wt=17): 7018 K(x \ y,T(y,x \ z)) = K(x \ y,T(y,z)). [hyper(189,a,4844,a(flip),b,7017,a)]. given #6311 (H,wt=17): 7019 K(x \ ((y \ x) * z),z) = K(y \ z,T(z,x)). [hyper(189,a,6555,a,b,7018,a(flip)),flip(a)]. given #6312 (H,wt=22): 7001 K(x \ (y * (z \ x)),z \ x) != u | K(z \ y,z \ x) = u. [para(17(a,1),6994(a,1,1,1))]. given #6313 (H,wt=21): 7020 K(x \ (y \ z),T(y \ z,z)) = K(y \ (x \ z),y \ z). [hyper(7001,a,7019,a),flip(a)]. given #6314 (H,wt=19): 7021 K(x \ (y \ z),x \ z) = K(y \ (x \ z),z / x). [hyper(6277,a,7020,a),flip(a)]. given #6315 (H,wt=23): 6942 K(x,y / ((z / (x \ 1)) * u)) = K(x,y / (((x \ 1) \ z) * u)). [para(5452(a,1),6923(a,1,2,2))]. given #6316 (H,wt=23): 6981 K((x * ((T(y,z) * x) \ u)) / x,y) = K((T(y,z) \ u) / x,y). [para(675(a,1),6976(a,1,1))]. given #6317 (H,wt=21): 7023 K((T(x,y) * z) \ u,T(x,z)) = K((T(x,y) \ u) / z,x). [hyper(6038,a,6981,a)]. given #6318 (H,wt=19): 7024 K((T(x,y) \ z) / u,x) = K(z / (T(x,y) * u),x). [hyper(189,a,6830,a(flip),b,7023,a(flip))]. given #6319 (H,wt=23): 6983 K(R(x,y,z),L(u,w,x)) = R(x * K(u,x),y,z) \ R(x,y,z). [para(6980(a,1),4743(a,1,1,1,2)),flip(a)]. given #6320 (H,wt=19): 7025 K(R(x,y,z),L(u,w,x)) != v5 | K(R(x,y,z),u) = v5. [para(6983(a,2),4886(a,1))]. given #6321 (H,wt=25): 6766 (x * (y * z)) * u != x * ((y * z) * K(w,y)) | K(w,L(y,z,x)) = u. [para(6690(a,1),22(a,1)),flip(a)]. given #6322 (H,wt=25): 6790 K(1 / x,L((1 / x) * y,z,u) \ 1) = L(K(1 / x,y \ x),z,u). [para(69(a,1),6776(a,1,1,2,2)),flip(a)]. given #6323 (H,wt=25): 6829 (x * L(y,z \ T(x,z),z)) \ (x * y) = a(T(z,x),T(z,x) \ x,y). [para(6828(a,1),3558(a,1,1))]. given #6324 (H,wt=25): 6857 K(x,(y / (y / z)) \ (x \ ((z \ y) * z))) = K(x,(y \ z) \ (x \ 1)). [para(4326(a,1),6854(a,1,2,1)),flip(a)]. given #6325 (H,wt=23): 7027 K(x,(y / (y / z)) \ (x \ ((z \ y) * z))) = K(x,z \ (x \ y)). [hyper(189,a,6854,a(flip),b,6857,a)]. given #6326 (H,wt=25): 6967 (L(x,y,z) * u) * K(w,T(x,v5)) = L(x,y,z) * (u * K(w,T(x,v5))). [para(6966(a,1),381(a,1,1,1)),flip(a)]. given #6327 (H,wt=17): 7028 L(K(x,T(y,z)),u,L(y,w,v5)) = K(x,T(y,z)). [hyper(5798,a,6967,a)]. given #6328 (H,wt=14): 7030 L(K(x,T(y,z)),u,y) = K(x,T(y,z)). [para(262(a,1),7028(a,1,3))]. given #6329 (H,wt=16): 7029 K(x,T(y,L(y,z,u) * w)) = K(x,T(y,w)). [hyper(5937,a,7028,a)]. given #6330 (H,wt=19): 7031 K((x * y) \ z,T(x,u)) = K(y \ (x \ z),T(x,u)). [hyper(189,a,5528,a(flip),b,7030,a(flip)),flip(a)]. given #6331 (H,wt=19): 7032 K((x \ y) \ z,T(x,u)) = K(y \ (x * z),T(x,u)). [hyper(189,a,5527,a(flip),b,7030,a(flip))]. given #6332 (H,wt=17): 7036 K(x \ (y * z),T(y,z)) = K(z / (y \ x),y). [hyper(6100,a,7032,a),flip(a)]. given #6333 (H,wt=15): 7037 K(x / (y \ z),y) = K((z / x) \ y,y). [hyper(6294,a,7036,a),flip(a)]. given #6334 (H,wt=18): 7038 K(x / (y \ z),y) != u | K((z / x) \ y,y) = u. [para(7036(a,1),6294(a,1))]. given #6335 (H,wt=19): 7033 K(x * L(y,z,u),T(y,x)) = K(x * L(y,z,u),y). [hyper(6104,a,7029,a),flip(a)]. given #6336 (H,wt=19): 7034 K(L(x,y,z) * u,T(x,u)) = K(L(x,y,z) * u,x). [hyper(3885,a,7029,a),flip(a)]. given #6337 (H,wt=19): 7040 K(T(L(x,y,z) * u,u),x) = K(L(x,y,z) * u,x). [hyper(5430,a,7034,a)]. given #6338 (H,wt=20): 7039 T(x,y) * K(y * L(x,z,u),x) = R(x,y,L(x,z,u)). [para(7033(a,1),5048(a,1,2))]. given #6339 (H,wt=22): 7041 K(x,y) * K(L(x,z,u) * y,x) = L(x,y,L(x,z,u)) \ x. [para(7040(a,1),6820(a,1,2))]. given #6340 (H,wt=22): 7042 K(x * L(y,z,u),y) * K(y,x) = y \ R(y,x,L(y,z,u)). [hyper(75,a,7039,a(flip),b,4545,a),flip(a)]. given #6341 (H,wt=22): 7043 K(x,y) * K(y * L(x,z,u),x) = x \ R(x,y,L(x,z,u)). [hyper(75,a,7039,a(flip),b,4376,a),flip(a)]. given #6342 (H,wt=24): 7045 K(x * L(y,z,u),T(y,x)) * K(y,x) = y \ R(y,x,L(y,z,u)). [para(7033(a,2),7042(a,1,1))]. given #6343 (H,wt=25): 7009 K(x,L(x \ ((x \ 1) \ y),z,u)) = K(x,L(K(x,x \ 1) * y,z,u)). [para(2427(a,1),7003(a,1,2,1)),flip(a)]. given #6344 (H,wt=25): 7022 (x \ y) \ K(z \ (x \ y),y / x) = T(x \ y,x \ (z \ y)) \ 1. [hyper(75,a,7021,a(flip),b,4358,a(flip))]. given #6345 (H,wt=25): 7035 L(K(x \ (y \ 1),T(y,z)),u,w) = K(L(y * x,u,w) \ 1,T(y,z)). [para(7031(a,1),4824(a,1,1))]. given #6346 (H,wt=25): 7044 x \ R(x,y,L(x,z,u)) != w | K(x,y) * K(y * L(x,z,u),x) = w. [para(7042(a,1),1960(a,1))]. given #6347 (H,wt=26): 5944 (x * y) * z != x * (y * K(u,(x \ w) \ y)) | K(u,w \ (x * y)) = z. [para(5926(a,1),22(a,1)),flip(a)]. given #6348 (H,wt=26): 6071 K(((x * y) * z) / (x * (y * z)),u) = K(a(x,y,z),T(u,x * (y * z))). [para(27(a,2),6033(a,1,1)),flip(a)]. given #6349 (H,wt=26): 6073 R(x,y,z) \ R(x * K((u * w) / u,x),y,z) = K(w,T(R(x,y,z),u)). [hyper(189,a,4741,a,b,6034,a(flip)),flip(a)]. given #6350 (H,wt=24): 7048 R(x,y,z) \ R(x * K(u,T(x,w)),y,z) = K(u,T(R(x,y,z),w)). [para(6034(a,1),6073(a,1,2,1,2))]. given #6351 (H,wt=24): 7049 R(x,y,z) \ R(x * K(u,T(x,w)),y,z) = K(u,R(T(x,w),y,z)). [para(45(a,2),7048(a,2,2))]. given #6352 (H,wt=26): 6368 L(T(K(x,y),z * (u * K(y,x))),u,z) = (z * u) / (z * (u * K(y,x))). [hyper(76,a,5921,a(flip),b,6054,a),flip(a)]. given #6353 (H,wt=22): 7050 (x * y) / (x * (y * K(z,u))) = L(T(K(u,z),x * y),y,x). [para(6560(a,1),6368(a,1,1)),flip(a)]. given #6354 (H,wt=22): 7051 (x * y) / (x * (y * K(z,u))) = L(K(u,T(z,x * y)),y,x). [para(5334(a,2),7050(a,2,1))]. given #6355 (H,wt=24): 7054 L(K(x,T(T(y,z),u * z)),z,u) = (u * z) / (u * (K(y,x) * z)). [para(5370(a,1),7051(a,1,2,2)),flip(a)]. given #6356 (H,wt=26): 6397 R(x \ y,z,u) \ R(T(x \ y,y),z,u) = K(R(x \ y,z,u),T(y,x)). [para(6396(a,1),4398(a,1,2,1))]. given #6357 (H,wt=19): 7055 K(R(x \ y,z,u),T(y,x)) = K(R(x \ y,z,u),y). [hyper(4514,a,6397,a),flip(a)]. given #6358 (H,wt=17): 7056 K(R(x / y,z,u),x) = K(R(y \ x,z,u),x). [hyper(6112,a,7055,a)]. given #6359 (H,wt=26): 6562 K(x,y) * (z * K(x,u)) != K(x,u) * w | T(K(x,y) * z,K(x,u)) = w. [para(6508(a,1),148(a,2)),flip(a)]. given #6360 (H,wt=26): 6575 L(x,y,z) \ L(T(x,u \ (x * w)),y,z) = K(L(x,y,z),u \ (w * x)). [para(6574(a,1),4397(a,1,2,1))]. given #6361 (H,wt=24): 7058 K(L(x,y,z),u \ (w * x)) != v5 | K(L(x,y,z),u \ (x * w)) = v5. [para(6575(a,1),4513(a,1))]. given #6362 (H,wt=26): 6633 (x * y) \ ((x * (y * K(z,u))) * K(u,w)) = L(K(z,u),y,x) * K(u,w). [para(6631(a,1),400(a,1,1))]. given #6363 (H,wt=26): 6649 L((K(x,y) * K(z,x)) \ 1,K(x,y) * K(z,x),u) = K(y,x) * K(x,z). [hyper(308,a,6644,a)]. given #6364 (H,wt=17): 7060 (K(x,y) * K(z,x)) \ 1 = K(y,x) * K(x,z). [hyper(3714,a,6649,a),flip(a)]. given #6365 (H,wt=26): 6753 R(K(x,y),z * (y * K(u,x)),w) != v5 | K(x,R(y * K(u,x),z,w)) = v5. [para(6177(a,1),6750(a,1,1))]. given #6366 (H,wt=26): 6972 K(x,L(1 / y,z,1 / y) \ 1) = K(x,(y \ ((1 / y) \ 1)) * T(y,1)). [para(3616(a,2),6970(a,2,2))]. given #6367 (H,wt=26): 7047 K(R(x \ R(x,y,z),x,y * z),u) = K(a(x,y,z),T(u,x * (y * z))). [para(3254(a,2),6071(a,1,1))]. given #6368 (H,wt=26): 7053 L(K(x,T(x * y,z * y)),y,z) = (z * y) / (z * (x \ T(x * y,x))). [para(5198(a,2),7051(a,1,2,2)),flip(a)]. given #6369 (H,wt=26): 7059 (x * y) \ ((x * (y * K(z,u))) * K(u,w)) = K(u,w) * L(K(z,u),y,x). [hyper(189,a,1963,a(flip),b,6633,a)]. given #6370 (H,wt=21): 7063 a(x,y * K(z,u),K(u,z)) = K(u,z) * L(K(z,u),y,x). [hyper(3935,a,7059,a)]. given #6371 (H,wt=21): 7064 K(x,y) * L(K(y,x),z * K(x,y),u) = a(u,z,K(x,y)). [para(3919(a,1),7063(a,1,2)),flip(a)]. given #6372 (H,wt=17): 7065 K(x,y) * L(K(y,x),z,u) = a(u,z,K(x,y)). [para(6611(a,1),7064(a,1,2))]. given #6373 (H,wt=17): 7066 L(K(x,y),z,u) * K(y,x) = a(u,z,K(y,x)). [hyper(1961,a,7065,a)]. given #6374 (H,wt=17): 7067 L(K(x,y),z,u) \ K(x,y) = a(u,z,K(x,y)). [hyper(189,a,5911,a,b,7065,a(flip)),flip(a)]. given #6375 (H,wt=20): 7069 a(x,y,K(z,u)) != w * K(z,u) | L(K(u,z),y,x) = w. [para(7066(a,1),23(a,1))]. given #6376 (H,wt=26): 7061 K(x,L(1 / y,z,y \ 1) \ 1) = K(x,(y \ ((1 / y) \ 1)) * T(y,1)). [para(3179(a,1),6972(a,1,2,1))]. given #6377 (H,wt=22): 7070 L(K(x,y),z,y \ 1) = K(x,(y \ ((1 / y) \ 1)) * T(y,1)). [hyper(189,a,5886,a(flip),b,7061,a(flip)),flip(a)]. given #6378 (H,wt=18): 7071 L(K(x,y),z,y \ 1) = K(x,(y \ y) * T(y,1)). [para(69(a,1),7070(a,2,2,1,2))]. given #6379 (H,wt=16): 7072 L(K(x,y),z,y \ 1) = K(x,1 * T(y,1)). [para(59(a,1),7071(a,2,2,1))]. given #6380 (H,wt=14): 7074 L(K(x,y),z,y \ 1) = K(x,1 * y). [para(188(a,1),7072(a,2,2,2))]. given #6381 (H,wt=12): 7075 L(K(x,y),z,y \ 1) = K(x,y). [para(14(a,1),7074(a,2,2))]. given #6382 (H,wt=23): 7078 K(((x \ 1) * y) \ (z * (x \ 1)),x) = K(y \ T(z,x \ 1),x). [hyper(189,a,5530,a(flip),b,7075,a(flip)),flip(a)]. given #6383 (H,wt=21): 7079 K(((x \ 1) * y) \ (x \ z),x) = K(y \ T(z,x \ 1),x). [hyper(189,a,6941,a(flip),b,7078,a(flip)),flip(a)]. given #6384 (H,wt=17): 7080 K(((x \ 1) * y) \ (x \ z),x) = K(y \ z,x). [hyper(189,a,6937,a(flip),b,7079,a)]. given #6385 (H,wt=17): 7081 K(((x \ 1) * y) \ z,x) = K(y \ (z * x),x). [hyper(6278,a,7080,a)]. given #6386 (H,wt=21): 7082 K(T(x,y \ 1) \ (z * y),y) = K((x * (y \ 1)) \ z,y). [para(113(a,1),7081(a,1,1,1)),flip(a)]. given #6387 (H,wt=17): 7083 K((x * (y \ 1)) \ z,y) = K(x \ (z * y),y). [hyper(189,a,6934,a(flip),b,7082,a(flip))]. given #6388 (H,wt=18): 7084 L(K(x * y,x),y,z) = K(z \ ((z * y) * x),x). [hyper(189,a,5532,a,b,7083,a(flip)),flip(a)]. given #6389 (H,wt=24): 7086 K(x \ ((x * y) * z),z) \ K(z * y,z) = a(x,y,K(z * y,z)). [para(7084(a,1),7067(a,1,1))]. given #6390 (H,wt=24): 7087 K(x,y \ ((y * z) * x)) * K(x * z,x) = a(y,z,K(x * z,x)). [hyper(3909,a,7086,a)]. given #6391 (H,wt=18): 7088 L(K(x,x * y),y,z) = K(x,z \ ((z * y) * x)). [hyper(21,a,7066,a,b,7087,a),flip(a)]. given #6392 (H,wt=18): 7089 L(K(x,y * x),y,z) = K(x,z \ ((z * y) * x)). [para(4576(a,2),7088(a,1,1))]. given #6393 (H,wt=23): 7091 L(K(L(x,y,z),y * L(x,y,z)),y,z) = K(L(x,y,z),y * x). [para(342(a,1),7089(a,2,2))]. given #6394 (H,wt=20): 7092 L(K(L(x,y,z),y * L(x,y,z)),y,z) = K(x,x * y). [hyper(189,a,5546,a(flip),b,7091,a)]. given #6395 (H,wt=27): 5935 (x * (K(y,z) * u)) * L(K(z,T(y,u)),u,x) != w * v5 | (x * u) / v5 = w. [para(5924(a,1),298(a,1,2))]. given #6396 (H,wt=27): 6058 R(T(K(x,T(y,z)),z * u),z,u) != w | (z * u) \ ((z * K(x,y)) * u) = w. [para(6022(a,1),721(a,1,1,1))]. given #6397 (H,wt=27): 6130 K(x / y,z) * K(K(y \ x,z) * x,x) = x \ T(x * K(x / y,z),x). [para(6063(a,2),5198(a,2,2,1)),flip(a)]. given #6398 (H,wt=27): 6354 T((1 / ((x * y) \ x)) * K(y,z),y) = ((1 / ((x * y) \ x)) / y) * T(y,z). [para(5600(a,1),6351(a,1,1,1)),flip(a)]. given #6399 (H,wt=27): 6386 x * (K(x / y,z) * K(x * K(y \ x,z),x)) = T(x * K(x / y,z),x). [para(6217(a,1),5248(a,1,2,2))]. given #6400 (H,wt=27): 6398 K(((x * y) \ (z * y)) \ 1,T(x,z)) = (x * y) \ ((z * T(z \ x,x)) * y). [para(6396(a,1),4752(a,1,2,1,2)),flip(a)]. given #6401 (H,wt=25): 7095 K(((x * y) \ (z * y)) \ 1,T(x,z)) = K(((x * y) \ (z * y)) \ 1,x). [hyper(189,a,4752,a(flip),b,6398,a)]. given #6402 (H,wt=25): 7096 K(((x * y) \ (z * y)) \ 1,T(x,z)) = K(z \ x,((x * y) \ y) \ 1). [hyper(189,a,5613,a(flip),b,7095,a)]. given #6403 (H,wt=23): 7097 K((x * y) \ (z * y),T(z,x)) = K(x \ z,((z * y) \ y) \ 1). [hyper(5466,a,7096,a)]. given #6404 (H,wt=21): 7098 K((x * y) \ (z * y),T(z,x)) = K(x \ z,y \ (z * y)). [hyper(189,a,5258,a(flip),b,7097,a)]. given #6405 (H,wt=19): 7099 K((x * y) \ (z * y),T(z,x)) = K(x \ z,T(z,y)). [para(35(a,2),7098(a,2,2))]. given #6406 (H,wt=27): 6447 K(x,(T((x * y) / z,u) \ (x * y)) \ x) = K(x,T(z \ (x * y),u) / y). [para(6305(a,1),6444(a,1,2,1))]. given #6407 (H,wt=27): 6498 (K(x,y) * (z * x)) \ (K(x,y) * z) != u | L(x \ 1,x,K(x,y) * z) = u. [para(6476(a,1),310(a,1,1))]. given #6408 (H,wt=17): 7101 L(x \ 1,x,K(x,y) * z) = L(x \ 1,x,z). [hyper(6498,a,6928,a)]. given #6409 (H,wt=17): 7102 L(x \ 1,x,y * K(x,z)) = L(x \ 1,x,y). [para(6024(a,1),7101(a,1,3))]. given #6410 (H,wt=15): 7103 L(x \ 1,T(x,y),z) = L(x \ 1,x,z). [hyper(5588,a,7102,a)]. given #6411 (H,wt=22): 7106 T(x * L(x \ 1,x,y),z) = T(x,z) * ((y * T(x,z)) \ y). [para(7103(a,1),1925(a,1,1,2))]. given #6412 (H,wt=19): 7109 T(x,y) * ((z * T(x,y)) \ z) = x * ((z * x) \ z). [hyper(189,a,5810,a(flip),b,7106,a(flip))]. given #6413 (H,wt=21): 7112 (x * ((y * x) \ y)) \ T(x,z) = 1 / ((y * T(x,z)) \ y). [para(7109(a,1),1450(a,1,1))]. given #6414 (H,wt=27): 6554 K(T(x,y),z \ (T(x,u) * (x \ w))) = T(x * K(z \ w,x),y) \ T(x,y). [para(6540(a,1),4660(a,1,1,1,2)),flip(a)]. given #6415 (H,wt=21): 7113 K(T(x,y),z \ (T(x,u) * (x \ w))) = K(T(x,y),z \ w). [hyper(189,a,4660,a(flip),b,6554,a)]. given #6416 (H,wt=19): 7115 K(T(x,y),z \ (u * K(x,w))) = K(T(x,y),z \ u). [para(6059(a,1),7113(a,1,2,2))]. given #6417 (H,wt=21): 7114 K(T(x,y),z \ (T(x,u) \ w)) = K(T(x,y),z \ (x \ w)). [para(978(a,1),7113(a,1,2,2)),flip(a)]. given #6418 (H,wt=25): 7116 K(T(x,y),z \ (u * (T(x,w) \ 1))) = K(T(x,y),z \ (u * (x \ 1))). [para(5734(a,1),7115(a,1,2,2)),flip(a)]. given #6419 (H,wt=23): 7117 K(T(x,y),z \ (y * (T(x,u) \ 1))) = K(x,(y * (x \ 1)) / z). [hyper(189,a,6812,a(flip),b,7116,a)]. given #6420 (H,wt=19): 7118 K(T(x,y),z \ (x \ y)) = K(x,(y * (x \ 1)) / z). [para(4265(a,1),7117(a,1,2,2))]. given #6421 (H,wt=17): 7119 K(x,(y * (x \ 1)) / z) = K(x,y / (z * x)). [hyper(189,a,6449,a(flip),b,7118,a(flip))]. given #6422 (H,wt=27): 6634 T(K(x,y),z) * T(K(y,u),K(x,y) * z) = z \ (K(y,u) * (K(x,y) * z)). [para(6632(a,1),730(a,1,1)),flip(a)]. given #6423 (H,wt=23): 7120 x \ (K(y,z) * (K(u,y) * x)) = T(K(u,y),x) * T(K(y,z),x). [para(6545(a,1),6634(a,1,2)),flip(a)]. given #6424 (H,wt=27): 6672 K(x * R(y,z,u),R(T(y,K(x,w)),z,u)) = K(x * R(y,z,u),R(y,z,u)). [para(45(a,2),6671(a,1,2))]. given #6425 (H,wt=27): 6810 K(x,K(y,z)) * (L(K(x,u),w,v5) \ K(x,K(y,z))) = L(K(x,u),w,v5) \ 1. [hyper(5990,a,5938,a)]. given #6426 (H,wt=27): 7094 K(x / y,z) * K(K(y \ x,z) * x,x) = K(T(x / (x / y),x) \ x,z). [hyper(189,a,5637,a,b,6130,a)]. given #6427 (H,wt=23): 7123 K(x / y,z) * K(K(y \ x,z) * x,x) = K(x / T(y,x),z). [para(4901(a,1),7094(a,2,1))]. given #6428 (H,wt=23): 7124 K(x / y,z) * K(x * K(y \ x,z),x) = K(x / T(y,x),z). [para(4617(a,1),7123(a,1,2))]. given #6429 (H,wt=19): 7125 T(x * K(x / y,z),x) = x * K(x / T(y,x),z). [para(7124(a,1),6386(a,1,2)),flip(a)]. given #6430 (H,wt=22): 7126 T(x * K(x / y,z),x) != x * u | K(x / T(y,x),z) = u. [para(7125(a,2),22(a,1))]. given #6431 (H,wt=27): 7100 K(x,(x * y) \ (T((x * y) / z,u) * x)) = K(x,T(z \ (x * y),u) / y). [hyper(189,a,5916,a(flip),b,6447,a(flip)),flip(a)]. given #6432 (H,wt=27): 7122 K(x,K(y,z)) * (L(K(u,x),w,v5) * K(x,K(y,z))) = L(K(x,u),w,v5) \ 1. [para(5895(a,1),6810(a,1,2))]. given #6433 (H,wt=27): 7127 K(x,y \ (x \ (T((x * y) / z,u) * x))) = K(x,T(z \ (x * y),u) / y). [hyper(189,a,6768,a(flip),b,7100,a(flip)),flip(a)]. given #6434 (H,wt=25): 7128 K(x,y \ T(T((x * y) / z,u),x)) = K(x,T(z \ (x * y),u) / y). [para(35(a,2),7127(a,1,2,2))]. given #6435 (H,wt=23): 7129 K(x,T(y \ (x * z),u) / z) = K(x,z \ T((x * z) / y,u)). [hyper(6493,a,7128,a),flip(a)]. given #6436 (H,wt=25): 7130 K(x,((y \ (x * z)) \ (x * z)) \ x) = K(x,z \ T((x * z) / y,y)). [hyper(189,a,6446,a,b,7129,a(flip)),flip(a)]. given #6437 (H,wt=23): 7131 K(x,((y \ (x * z)) \ (x * z)) \ x) = K(x,z \ (y \ (x * z))). [para(115(a,1),7130(a,2,2,2))]. given #6438 (H,wt=23): 7132 K(x,(x * y) \ ((z \ (x * y)) * x)) = K(x,y \ (z \ (x * y))). [hyper(189,a,5916,a(flip),b,7131,a(flip)),flip(a)]. given #6439 (H,wt=28): 6131 (T(x * K(y \ x,z),x) / x) \ (x * K(x / y,z)) = L(x,K(y \ x,z),x). [para(6063(a,1),5774(a,1,2))]. given #6440 (H,wt=28): 6192 (x * (y \ T(y * T(z,y),y))) \ (x * T(z,y)) = L(K(y,y * z),T(z,y),x). [para(6178(a,1),5923(a,2,1))]. given #6441 (H,wt=26): 7134 (x * (y \ T(z * y,y))) \ (x * T(z,y)) = L(K(y,y * z),T(z,y),x). [para(113(a,1),6192(a,1,1,2,2,1))]. given #6442 (H,wt=24): 7135 (x * (y \ T(z * y,y))) \ (x * T(z,y)) = L(K(y,y * z),z,x). [hyper(189,a,6612,a(flip),b,7134,a)]. given #6443 (H,wt=28): 6245 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(6219(a,1),4654(a,1,1,2))]. given #6444 (H,wt=24): 7136 T(x * K(y * R(x,z,u),x),y) = R(x,T(y,T(x,w)),R(x,z,u)). [hyper(189,a,5427,a(flip),b,6245,a(flip)),flip(a)]. given #6445 (H,wt=19): 7138 R(x,T(y,T(x,z)),R(x,u,w)) = R(x,y,R(x,u,w)). [hyper(189,a,4654,a(flip),b,7136,a(flip))]. given #6446 (H,wt=25): 7139 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(6092(a,1),7138(a,1,2))]. given #6447 (H,wt=28): 6252 K(L(x,y,z),u * (K(x,w) * v5)) = L(x,y,z) / L(x * K(u * v5,x),y,z). [para(6247(a,1),4739(a,1,2,1,2)),flip(a)]. given #6448 (H,wt=21): 7140 K(L(x,y,z),u * (K(x,w) * v5)) = K(L(x,y,z),u * v5). [hyper(189,a,4739,a(flip),b,6252,a)]. given #6449 (H,wt=17): 7141 K(L(x,y,z),K(u,x) * w) = K(L(x,y,z),w). [para(3887(a,1),7140(a,1,2)),flip(a)]. given #6450 (H,wt=20): 7142 K(L(x,y,z),L(K(u,x),w,v5) * v6) = K(L(x,y,z),v6). [para(4829(a,1),7141(a,1,2,1))]. given #6451 (H,wt=28): 6253 K(x * (K(y,z) * u),R(y,w,v5)) = R(y,w,v5) \ R(y * K(x * u,y),w,v5). [para(6247(a,1),4741(a,1,2,1,2)),flip(a)]. given #6452 (H,wt=21): 7143 K(x * (K(y,z) * u),R(y,w,v5)) = K(x * u,R(y,w,v5)). [hyper(189,a,4741,a(flip),b,6253,a)]. given #6453 (H,wt=17): 7144 K(K(x,y) * z,R(y,u,w)) = K(z,R(y,u,w)). [para(3887(a,1),7143(a,1,1)),flip(a)]. given #6454 (H,wt=17): 7145 K(K(x,y) * z,R(x,u,w)) = K(z,R(x,u,w)). [para(3887(a,1),7144(a,1,1)),flip(a)]. given #6455 (H,wt=28): 6380 K(R(x,y,z),T(u * w,w) / T(u,w)) = K(R(T(x,T(u,w)),y,z),R(w,u,w)). [para(3761(a,1),6080(a,1,2)),flip(a)]. given #6456 (H,wt=26): 7146 K(R(T(x,T(y,z)),u,w),R(z,y,z)) = K(R(x,u,w),z * K(y * z,z)). [para(4600(a,1),6380(a,1,2)),flip(a)]. given #6457 (H,wt=24): 7147 K(R(T(x,T(y,z)),u,w),R(z,y,z)) = K(T(R(x,u,w),y * z),z). [hyper(189,a,6047,a(flip),b,7146,a)]. given #6458 (H,wt=24): 7148 K(R(T(x,T(y,z)),u,w),R(z,y,z)) = K(R(T(x,y * z),u,w),z). [para(45(a,2),7147(a,2,1))]. given #6459 (H,wt=21): 7149 K(R(T(x,T(y,z)),u,w),z) = K(R(T(x,y * z),u,w),z). [hyper(6480,a,7148,a)]. given #6460 (H,wt=19): 7151 K(R(T(x,y * z),u,w),z) = K(R(T(x,y),u,w),z). [hyper(189,a,6401,a(flip),b,7149,a(flip))]. given #6461 (H,wt=19): 7152 K(R(T(x,y * z),u,w),y) = K(R(T(x,z),u,w),y). [hyper(189,a,6661,a(flip),b,7151,a(flip)),flip(a)]. given #6462 (H,wt=20): 7153 K((x * y) \ ((x * z) * y),x) = K(R(T(z,y),x,y),x). [hyper(3942,a,7152,a)]. given #6463 (H,wt=28): 6439 T(T(T(x,y),z) * T(y,x),T(T(x,y),z)) = T(y,x) * R(T(T(x,y),z),y,x). [para(3794(a,1),6438(a,2,2))]. given #6464 (H,wt=26): 7154 T(T(T(x,y),z) * T(y,x),T(T(x,y),z)) = R(T(x,z),y,x) * T(y,x). [hyper(189,a,3538,a(flip),b,6439,a)]. given #6465 (H,wt=28): 6603 R(K(x,y),(y * K(z,x)) * u,w) = K(x,R(R(y,K(z,x),u),K(z,x) * u,w)). [para(6601(a,1),5684(a,1,1))]. given #6466 (H,wt=28): 6814 K(T(x,y),L(T(z,y),y,x \ 1)) = K(x,((x \ 1) * (z * y)) / ((x \ 1) * y)). [para(154(a,1),6813(a,1,2))]. given #6467 (H,wt=27): 7155 K(x,((x \ 1) * (y * z)) / ((x \ 1) * z)) != u | K(x,L(y,z,x \ 1)) = u. [para(6814(a,1),6109(a,1))]. given #6468 (H,wt=28): 6887 T(R(K(x,T(y,z)),z,u) \ 1,z * u) = K(((z / x) * u) \ (z * u),y) \ 1. [para(6299(a,1),5351(a,1,1)),flip(a)]. given #6469 (H,wt=26): 7156 T(R(K(x,T(y,z)),z,u) \ 1,z * u) = K(y,((z / x) * u) \ (z * u)). [hyper(189,a,3871,a(flip),b,6887,a)]. given #6470 (H,wt=26): 7157 T(R(K(T(x,y),z),y,u) * 1,y * u) = K(x,((y / z) * u) \ (y * u)). [para(5672(a,1),7156(a,1,1))]. given #6471 (H,wt=26): 7158 T(R(K(x,T(y,z)),z,u) * 1,z * u) = K(x,((z / y) * u) \ (z * u)). [para(5380(a,1),7157(a,1,1,1,1))]. given #6472 (H,wt=24): 7159 T(R(K(x,T(y,z)),z,u),z * u) = K(x,((z / y) * u) \ (z * u)). [para(15(a,1),7158(a,1,1))]. given #6473 (H,wt=24): 7160 R(T(K(x,T(y,z)),z * u),z,u) = K(x,((z / y) * u) \ (z * u)). [hyper(5484,a,7159,a)]. given #6474 (H,wt=23): 7161 K(x,((y / z) * u) \ (y * u)) = (y * u) \ ((y * K(x,z)) * u). [hyper(6058,a,7160,a),flip(a)]. given #6475 (H,wt=23): 7162 K(((x / y) * z) \ (x * z),u) = K(y,((x / u) * z) \ (x * z)). [hyper(189,a,5608,a,b,7161,a),flip(a)]. given #6476 (H,wt=28): 6904 T(x * K((K(x,y) * z) * R(x,u,w),x),z) = R(x,K(x,y) * z,R(x,u,w)). [hyper(189,a,4654,a(flip),b,6902,a(flip))]. given #6477 (H,wt=24): 7163 T(x * K(y * R(x,z,u),x),y) = R(x,K(x,w) * y,R(x,z,u)). [para(6232(a,1),6904(a,1,1,2))]. given #6478 (H,wt=19): 7164 R(x,K(x,y) * z,R(x,u,w)) = R(x,z,R(x,u,w)). [hyper(189,a,4654,a(flip),b,7163,a(flip))]. given #6479 (H,wt=28): 6974 L(K(x \ 1,y \ (x * (z \ u))),z \ u,z) = K(x \ 1,(z * (x \ y)) \ u). [para(6958(a,1),5914(a,1,1))]. given #6480 (H,wt=28): 7026 K(1 / x,L((1 / x) * y,z,u) \ 1) != w | K(L(x,z,u) \ 1,y \ x) = w. [para(6790(a,2),4835(a,1))]. given #6481 (H,wt=28): 7133 (x \ T(K(y \ x,z) * x,x)) \ (x * K(x / y,z)) = L(x,K(y \ x,z),x). [para(6120(a,1),6131(a,1,1))]. given #6482 (H,wt=28): 7167 K(L(x,y \ z,y) \ 1,u \ (x * (y \ z))) = K(x \ 1,(y * (x \ u)) \ z). [hyper(4894,a,6974,a)]. given #6483 (H,wt=29): 6345 T(K(x,y) * (K(x,y) \ ((z \ 1) \ K(x,y))),x) = K(z,x) * ((z \ 1) \ K(x,y)). [hyper(189,a,4401,a,b,6342,a)]. given #6484 (H,wt=21): 7168 K(x,y) * ((x \ 1) \ K(y,z)) = T((x \ 1) \ K(y,z),y). [para(17(a,1),6345(a,1,1)),flip(a)]. given #6485 (H,wt=29): 6418 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(6417(a,1),4738(a,1,1,1,2)),flip(a)]. given #6486 (H,wt=22): 7171 K(L(x,y,z),u \ L(K(x,w),v5,v6)) = K(L(x,y,z),u \ 1). [hyper(189,a,4738,a(flip),b,6418,a)]. given #6487 (H,wt=25): 7172 K(L(x,y,z),u \ L(K(x,w),v5,v6)) != v7 | K(L(x,y,z),u \ 1) = v7. [para(6418(a,2),4884(a,1))]. given #6488 (H,wt=29): 6499 K(x \ y,x) * ((z / (x \ y)) * (x \ y)) = T(z / (y / x),K(x,y)) * (x \ y). [para(6017(a,1),6476(a,1,1)),flip(a)]. given #6489 (H,wt=29): 6586 K(x * (y / (y / z)),T(T(y / (y / z),x),z \ y)) = K((y / (y / z)) * x,z). [para(3573(a,1),6585(a,2,2))]. given #6490 (H,wt=21): 7174 K(x * (y / (y / z)),T(z,x)) = K((y / (y / z)) * x,z). [para(3586(a,1),6586(a,1,2))]. given #6491 (H,wt=17): 7175 K(x * (y / (y / z)),T(z,x)) = K(z * x,z). [hyper(189,a,6250,a(flip),b,7174,a)]. given #6492 (H,wt=17): 7178 K(x * (y / (y / z)),T(z,x)) = K(x * z,z). [hyper(189,a,4617,a,b,7175,a)]. given #6493 (H,wt=29): 6623 L(K(x,y),z / K(x,y),u) \ (u * z) = T(u * (z * K(y,x)),L(K(x,y),z,u)). [para(6611(a,1),5823(a,1,2)),flip(a)]. given #6494 (H,wt=29): 6684 K(x,y) * T(x * K(z \ y,x),T(z \ y,y)) = T(x,z * ((y * (z \ y)) / y)). [para(3330(a,2),6682(a,2,2))]. given #6495 (H,wt=29): 6739 K(x,y) * ((y * R(x,z,R(x,u,w))) * x) = (y * R(T(x,y),z,R(x,u,w))) * x. [para(6730(a,1),6478(a,1,1,2)),flip(a)]. given #6496 (H,wt=27): 7180 K(x,y) * ((y * R(x,z,R(x,u,w))) * x) = (R(x,z,R(x,u,w)) * y) * x. [para(160(a,1),6739(a,2,1))]. given #6497 (H,wt=23): 7181 (R(x,y,R(x,z,u)) * w) * x = (x * w) * R(x,y,R(x,z,u)). [hyper(189,a,6729,a(flip),b,7180,a(flip))]. given #6498 (H,wt=29): 6823 T(((x * y) * ((y * x) \ 1)) * (y * x),z) = (K(x,y) * K(x * y,z)) * (y * x). [para(6822(a,1),4177(a,2,1))]. given #6499 (H,wt=23): 7182 (K(x,y) * K(x * y,z)) * (y * x) = T(K(x,y) * (y * x),z). [para(4703(a,2),6823(a,1,1,1)),flip(a)]. given #6500 (H,wt=19): 7183 (K(x,y) * K(x * y,z)) * (y * x) = T(x * y,z). [para(4373(a,1),7182(a,2,1))]. given #6501 (H,wt=19): 7184 (x * y) \ T(y * x,z) = K(y,x) * K(y * x,z). [hyper(21,a,4950,a,b,7183,a),flip(a)]. given #6502 (H,wt=29): 6883 K(x,T((K(x,y) * z) / u,w)) = ((w * x) / w) / ((w * (x * K(z / u,x))) / w). [para(6881(a,1),6732(a,1,2,1,2,2)),flip(a)]. given #6503 (H,wt=22): 7185 K(x,T((K(x,y) * z) / u,w)) != v5 | K(x,T(z / u,w)) = v5. [para(6883(a,2),6733(a,1))]. given #6504 (H,wt=29): 6894 ((x \ y) \ K(z \ (x \ y),y / x)) \ ((x \ y) \ 1) = K(x \ y,(z * x) \ y). [para(6891(a,1),4605(a,1,1,2))]. given #6505 (H,wt=27): 7186 (T(x \ y,x \ (z \ y)) \ 1) \ ((x \ y) \ 1) = K(x \ y,(z * x) \ y). [para(7022(a,1),6894(a,1,1))]. given #6506 (H,wt=19): 7187 K(x \ y,(z * x) \ y) = K(x \ y,x \ (z \ y)). [hyper(4537,a,7186,a),flip(a)]. given #6507 (H,wt=22): 7188 K(x \ y,(z * x) \ y) != u | K(x \ y,x \ (z \ y)) = u. [para(7186(a,1),4537(a,1))]. given #6508 (H,wt=29): 6986 K(T(x * K(y \ (x \ (z * x)),x),x),u) = K(x,T(u,T(z \ (x * y),x) \ x)). [para(6982(a,1),6660(a,1,1,1,2))]. given #6509 (H,wt=25): 7189 K(x,T(y,T(z \ (x * u),x) \ x)) = K(T(x * K(u \ z,x),x),y). [para(6363(a,1),6986(a,1,1,1,2)),flip(a)]. given #6510 (H,wt=23): 7190 K(x,T(y,T(z \ (x * u),x) \ x)) = K(x * K(u \ z,x),y). [para(1497(a,1),7189(a,2,1))]. given #6511 (H,wt=24): 7191 K(x,T(y,T(z \ (x * u),x) \ x)) != w | K(x,T(y,u \ z)) = w. [para(7190(a,2),6267(a,1))]. given #6512 (H,wt=29): 7173 K(x \ y,x) * ((z / (x \ y)) * (x \ y)) = T(z / (y / x),K(y,x)) * (x \ y). [para(6118(a,1),6499(a,2,1))]. given #6513 (H,wt=21): 7192 T(x / (y / z),K(y,z)) * (z \ y) = K(z \ y,z) * x. [para(19(a,1),7173(a,1,2)),flip(a)]. given #6514 (H,wt=21): 7193 T((x / (y / z)) * (z \ y),K(y,z)) = K(z \ y,z) * x. [hyper(189,a,6717,a,b,7192,a(flip)),flip(a)]. given #6515 (H,wt=19): 7195 T(x * K(y \ z,y),K(z,y)) = K(y \ z,y) * x. [para(5463(a,1),7193(a,1,1))]. given #6516 (H,wt=23): 7196 T(x * (y * K(z \ x,z)),K(x,z)) = x * (K(z \ x,z) * y). [para(7195(a,1),6727(a,2,2))]. given #6517 (H,wt=30): 6793 T(x,R(x,y,z) * u) \ (x * K(L(x,u,R(x,y,z)),u)) = L(x,u,R(x,y,z)) \ x. [para(1287(a,1),6742(a,1,1))]. given #6518 (H,wt=24): 7197 T(x,R(x,y,z) * u) \ (x * K(x,u)) = L(x,u,R(x,y,z)) \ x. [para(6588(a,1),6793(a,1,2,2))]. given #6519 (H,wt=22): 7198 K(R(x,y,z) * u,x) * K(x,u) = L(x,u,R(x,y,z)) \ x. [hyper(4587,a,7197,a)]. given #6520 (H,wt=30): 6888 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(6302,a,6361,a)]. given #6521 (H,wt=30): 7014 K(x,L(x \ (y \ z),x,z / (z / y))) = K(x,(z / (z / y)) \ (x \ ((y \ z) * y))). [para(3588(a,1),7013(a,2,2,2,2))]. given #6522 (H,wt=22): 7201 K(x,L(x \ (y \ z),x,z / (z / y))) = K(x,y \ (x \ z)). [hyper(189,a,7027,a(flip),b,7014,a)]. given #6523 (H,wt=30): 7200 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(45(a,2),6888(a,1,1,2))]. given #6524 (H,wt=30): 7202 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(6118(a,1),7200(a,1,2))]. given #6525 (H,wt=31): 6293 T((x * K(y,x)) * K(T(T(z,u),y),x),u) = K(z,x * K(y,x)) * T(x * K(y,x),u). [para(6047(a,1),6049(a,1,1,2))]. given #6526 (H,wt=29): 7203 T((x * (y * K(T(z,u),y))) / x,u) = K(z,y * K(x,y)) * T(y * K(x,y),u). [para(6734(a,1),6293(a,1,1))]. given #6527 (H,wt=27): 7204 K(x,y * K(z,y)) * T(y * K(z,y),u) = (z * (K(x,y) * T(y,u))) / z. [hyper(189,a,6291,a(flip),b,7203,a(flip))]. given #6528 (H,wt=25): 7205 K(T(x,y),z) * T(z * K(y,z),u) = (y * (K(x,z) * T(z,u))) / y. [para(6047(a,1),7204(a,1,1))]. given #6529 (H,wt=25): 7206 K(T(x,y),z) * T((y * z) / y,u) = (y * (K(x,z) * T(z,u))) / y. [para(4375(a,2),7205(a,1,2,1))]. given #6530 (H,wt=29): 7207 (x * (T(y,z) * K(u,T(y,T(u,w))))) / x = K(T(u,x),y) * T((x * y) / x,z). [para(5352(a,2),7206(a,2,1,2)),flip(a)]. given #6531 (H,wt=27): 7208 (x * (T(y,T(z,x)) * K(z,T(y,T(z,u))))) / x = y * K(x,T(y,T(z,x))). [hyper(189,a,4735,a(flip),b,7207,a)]. given #6532 (H,wt=25): 7209 (x * (T(y,T(z,x)) * K(z,T(y,T(z,u))))) / x = y * K(x,T(y,z)). [para(6327(a,1),7208(a,2,2))]. given #6533 (H,wt=21): 7210 (x * (T(y,T(z,x)) * K(z,y))) / x = y * K(x,T(y,z)). [para(5341(a,1),7209(a,1,1,2,2))]. given #6534 (H,wt=19): 7211 (T(x,y) * T(y,T(x,z))) / x = y * K(x,T(y,z)). [para(6683(a,1),7210(a,1,1))]. given #6535 (H,wt=21): 7212 T(T(x,y),y) * T(y,T(x,z)) = x * (y * K(x,T(y,z))). [para(7211(a,1),5850(a,2,2))]. given #6536 (H,wt=19): 7213 T(T(x,y),y) * T(y,T(x,z)) = T(x,T(y,z)) * y. [hyper(189,a,6127,a(flip),b,7212,a)]. given #6537 (H,wt=21): 7214 (T(x,T(y,z)) * y) / K(x,y) = T(x,y) * T(y,T(x,z)). [para(7213(a,1),5832(a,1,1))]. given #6538 (H,wt=17): 7215 T(x,y) * T(y,T(x,z)) = y * T(x,T(y,z)). [hyper(189,a,5408,a(flip),b,7214,a(flip))]. given #6539 (H,wt=19): 7216 x * T(y * K(x,y),T(x,z)) = y * T(x,T(y,z)). [hyper(189,a,5377,a,b,7215,a(flip)),flip(a)]. given #6540 (H,wt=15): 7218 x * T(y,T(x,z)) = y * T(x,K(y,z)). [para(6322(a,1),7216(a,1,2)),flip(a)]. given #6541 (H,wt=15): 7219 x \ T(y * x,K(y,z)) = T(y,T(x,z)). [hyper(75,a,6727,a,b,7218,a)]. given #6542 (H,wt=17): 7220 x \ T(y * x,K(y,z)) = T(T(y,x),K(x,z)). [hyper(189,a,6323,a,b,7219,a)]. given #6543 (H,wt=18): 7221 x \ T(y * x,K(y,z)) != u | T(y,T(x,z)) = u. [para(7220(a,2),6331(a,1))]. given #6544 (H,wt=19): 7217 T(x * K(y,T(x,z)),y) = T(x * K(y,x),T(y,z)). [hyper(147,a,5132,a,b,7216,a)]. given #6545 (H,wt=25): 7222 T(x * K(y \ z,x),T(y \ z,z)) = T(x * K(z / y,x),y \ z). [para(6029(a,1),7217(a,1,1,2)),flip(a)]. given #6546 (H,wt=19): 7224 T(x * K(y / z,x),z \ y) = T(x,K(z \ y,y)). [hyper(6325,a,7222,a),flip(a)]. given #6547 (H,wt=25): 7223 T(x * K(y \ z,x),T(y \ z,y)) = T(x * K(z / y,x),y \ z). [para(6033(a,1),7217(a,1,1,2)),flip(a)]. given #6548 (H,wt=21): 7225 T(x * K(y / z,x),z \ y) = T(x * K(z,x),T(z,y)). [hyper(189,a,6708,a(flip),b,7223,a(flip))]. given #6549 (H,wt=23): 7226 T(x * K(y \ z,x),T(y \ z,z)) = T(x * K(y,x),T(y,z)). [hyper(189,a,7222,a,b,7225,a(flip)),flip(a)]. given #6550 (H,wt=25): 7227 T(x,y * ((z * (y \ z)) / z)) = K(x,z) * T(x * K(y,x),T(y,z)). [para(7226(a,1),6684(a,1,2)),flip(a)]. given #6551 (H,wt=17): 7228 T(x,y * ((z * (y \ z)) / z)) = T(x,T(z,y)). [hyper(189,a,6682,a(flip),b,7227,a)]. given #6552 (H,wt=13): 7229 T(x,T(y,z \ y)) = T(x,T(y,z)). [para(3330(a,1),7228(a,1,2))]. given #6553 (H,wt=13): 7230 T(x,T(y,z \ 1)) = T(x,T(y,z)). [hyper(189,a,6709,a,b,7229,a(flip)),flip(a)]. given #6554 (H,wt=15): 7231 T(x,T(y,z \ 1)) = x * K(x,T(y,z)). [hyper(189,a,4396,a(flip),b,7230,a)]. given #6555 (H,wt=13): 7233 T(K(x,y),z \ 1) = K(x,T(y,z)). [hyper(5372,a,7231,a)]. given #6556 (H,wt=13): 7234 K(x,T(y,z \ 1)) = K(x,T(y,z)). [hyper(4436,a,7231,a)]. given #6557 (H,wt=13): 7236 K(x,T(y,z \ y)) = K(x,T(y,z)). [hyper(5497,a,7234,a)]. given #6558 (H,wt=13): 7238 K(x,T(y,z \ x)) = K(x,T(y,z)). [hyper(189,a,5422,a(flip),b,7234,a(flip)),flip(a)]. given #6559 (H,wt=15): 7232 T(x * y,T(z,y)) = T(x * y,T(z,x)). [hyper(189,a,6392,a(flip),b,7230,a(flip))]. given #6560 (H,wt=15): 7237 K(x * y,T(z,y)) = K(x * y,T(z,x)). [hyper(189,a,5423,a(flip),b,7234,a(flip)),flip(a)]. given #6561 (H,wt=15): 7239 K(x,T(y,z \ u)) = K(x,T(y,u \ z)). [para(5471(a,1),7234(a,1,2))]. given #6562 (H,wt=16): 7245 K(x,T(y,z \ x)) != u | K(x,T(y,z)) = u. [para(7239(a,1),5494(a,1))]. given #6563 (H,wt=16): 7246 K(x,T(y,z \ 1)) != u | K(x,T(y,z)) = u. [para(5422(a,2),7245(a,1))]. given #6564 (H,wt=17): 7235 K(x,y) * K(x,K(y,z)) = T(K(x,y),z \ 1). [hyper(189,a,6012,a,b,7233,a),flip(a)]. given #6565 (H,wt=13): 7249 K(x,K(y,z \ 1)) = K(x,K(y,z)). [hyper(20,a,5958,a,b,7235,a),flip(a)]. given #6566 (H,wt=13): 7250 K(x \ 1,K(y,z)) = K(y,K(z,x)). [hyper(6098,a,7235,a(flip))]. given #6567 (H,wt=13): 7251 K(x,K(y,z \ 1)) = K(x,K(z,y)). [hyper(189,a,5983,a,b,7249,a)]. given #6568 (H,wt=13): 7254 K(K(x,y) * z,z) = K(x,K(y,z)). [hyper(6915,a,7250,a)]. given #6569 (H,wt=13): 7255 K(x \ 1,K(y,z)) = K(y,K(x,z)). [hyper(189,a,5983,a,b,7250,a)]. given #6570 (H,wt=16): 7257 K(x,K(y,z \ 1)) != u | K(x,K(y,z)) = u. [para(7251(a,2),5991(a,1))]. given #6571 (H,wt=17): 7240 K((x \ y) / z,T(y,x)) = K(z \ (x \ y),y). [hyper(6106,a,7236,a),flip(a)]. given #6572 (H,wt=17): 7241 T(T(x,y) * z,T(x,z)) = T(T(x,y) * z,x). [para(171(a,1),7232(a,2,2))]. given #6573 (H,wt=18): 7247 K(x,T(y,z \ u)) != w | K(x,T(y,u \ z)) = w. [para(5477(a,1),7245(a,1))]. given #6574 (H,wt=18): 7260 K(x,K(y,z / (u * z))) != w | K(x,K(y,u)) = w. [para(4776(a,2),7257(a,1,2))]. given #6575 (H,wt=18): 7261 K(x,K(y,z \ u)) != w | K(x,K(y,u \ z)) = w. [para(5258(a,1),7257(a,1,2))]. given #6576 (H,wt=18): 7263 R(T(x,y),z,x) * T(z,x) = T(T(x,y) * z,x). [hyper(189,a,5848,a,b,7241,a(flip)),flip(a)]. given #6577 (H,wt=19): 7243 K(x * R(y,z,u),T(y,x)) = K(x * R(y,z,u),y). [para(668(a,1),7237(a,1,2)),flip(a)]. given #6578 (H,wt=19): 7244 K(R(x,y,z) * u,T(x,u)) = K(R(x,y,z) * u,x). [para(668(a,1),7237(a,2,2))]. given #6579 (H,wt=19): 7252 R(K(x,K(y,z \ 1)),u,w) = K(x,K(y,R(z,u,w))). [hyper(189,a,6460,a,b,7249,a(flip)),flip(a)]. given #6580 (H,wt=17): 7268 R(K(x,K(y,z)),u,w) = K(x,K(y,R(z,u,w))). [para(7249(a,1),7252(a,1,1))]. given #6581 (H,wt=14): 7270 K(x,K(y,R(z,y,u))) = K(x,K(y,z)). [hyper(189,a,6459,a(flip),b,7268,a(flip))]. given #6582 (H,wt=17): 7269 R(K(x,K(y,z)),u,w) = K(x,K(z,R(y,u,w))). [para(7251(a,1),7252(a,1,1))]. given #6583 (H,wt=17): 7271 K(x,K(y,R(z,u,w))) = K(x,K(z,R(y,u,w))). [hyper(189,a,7268,a(flip),b,7269,a(flip))]. given #6584 (H,wt=17): 7272 K(x,R(K(y,z),u,w)) = K(x,K(z,R(y,u,w))). [hyper(189,a,6458,a(flip),b,7269,a(flip)),flip(a)]. given #6585 (H,wt=10): 7275 K(x,K(y,R(x,z,u))) = 1. [hyper(189,a,2667,a(flip),b,7272,a(flip))]. given #6586 (H,wt=10): 7276 T(x,K(y,R(x,z,u))) = x. [hyper(40,a,7275,a)]. given #6587 (H,wt=14): 7277 T(T(x,y),K(z,R(x,u,w))) = T(x,y). [para(7276(a,1),41(a,1,1)),flip(a)]. given #6588 (H,wt=17): 7274 K(R(K(x,y),z,u),w) = K(y,K(w,R(x,z,u))). [hyper(189,a,6456,a,b,7272,a(flip)),flip(a)]. given #6589 (H,wt=19): 7253 K(x,K(y,z \ K(u,w))) = K(x,K(y,K(w,u) * z)). [para(5268(a,1),7249(a,1,2))]. given #6590 (H,wt=19): 7256 L(K(x \ 1,K(y,z)),u,w) = K(y,K(z,L(x,u,w))). [hyper(189,a,4824,a,b,7250,a(flip)),flip(a)]. given #6591 (H,wt=17): 7280 L(K(x,K(y,z)),u,w) = K(x,K(z,L(y,u,w))). [para(7255(a,1),7256(a,1,1))]. given #6592 (H,wt=17): 7281 L(K(x,K(y,z)),u,w) = K(y,K(z,L(x,u,w))). [para(5966(a,1),7280(a,1,1))]. given #6593 (H,wt=17): 7282 K(x,K(y,L(z,u,w))) = K(z,K(y,L(x,u,w))). [hyper(189,a,7280,a(flip),b,7281,a(flip))]. given #6594 (H,wt=17): 7283 K(L(K(x,y),z,u),w) = K(y,K(w,L(x,z,u))). [hyper(189,a,6454,a(flip),b,7281,a(flip)),flip(a)]. given #6595 (H,wt=17): 7285 K(L(K(x,y),z,u),w) = K(w,K(y,L(x,z,u))). [hyper(189,a,5966,a,b,7283,a)]. given #6596 (H,wt=17): 7286 K(x,L(K(y,z),u,w)) = K(x,K(z,L(y,u,w))). [hyper(189,a,6461,a(flip),b,7283,a(flip)),flip(a)]. given #6597 (H,wt=19): 7273 K(x,K(y,R(x \ z,u,w))) = K(x,K(z,R(y,u,w))). [hyper(6266,a,7271,a),flip(a)]. given #6598 (H,wt=19): 7284 K(x,K(y \ z,L(y,u,w))) = K(y,K(z,L(x,u,w))). [hyper(6266,a,7282,a),flip(a)]. given #6599 (H,wt=19): 7287 x * K(L(K(y,z),u,w),x) = T(x,K(z,L(y,u,w))). [para(7283(a,2),5970(a,1,2))]. given #6600 (H,wt=17): 7289 T(x,L(K(y,z),u,w)) = T(x,K(z,L(y,u,w))). [hyper(6370,a,7287,a)]. given #6601 (H,wt=19): 7288 K(L(K(x,x \ y),z,u),w) = K(x,K(y,L(w,z,u))). [hyper(189,a,7285,a,b,7284,a(flip)),flip(a)]. given #6602 (H,wt=20): 7248 K(x,T(T(y,z),u \ y)) != w | K(x,T(T(y,z),u)) = w. [para(6559(a,1),7246(a,1))]. given #6603 (H,wt=20): 7264 K(x,T(y,(z \ u) \ x)) != w | K(x,T(y,u \ z)) = w. [para(7238(a,2),7247(a,1))]. given #6604 (H,wt=20): 7266 T(x,y) * K(y * R(x,z,u),x) = R(x,y,R(x,z,u)). [para(7243(a,1),4504(a,1,2))]. given #6605 (H,wt=21): 7279 K(x,K(y,K(z,u) * w)) * y = T(y,K(x,w \ K(u,z))). [para(7253(a,1),5971(a,1,1))]. given #6606 (H,wt=19): 7293 T(x,K(y,z \ K(u,w))) = T(x,K(y,K(w,u) * z)). [hyper(5973,a,7279,a),flip(a)]. given #6607 (H,wt=15): 7294 T(x,K(y,z \ K(u,y))) = T(x,K(y,z)). [para(6179(a,1),7293(a,2,2))]. given #6608 (H,wt=13): 7295 T(x,K(y,z \ 1)) = T(x,K(y,z)). [para(123(a,1),7294(a,1,2,2,2))]. given #6609 (H,wt=13): 7296 T(x,K(y,z \ 1)) = T(x,K(z,y)). [hyper(189,a,6118,a,b,7295,a)]. given #6610 (H,wt=15): 7297 T(x,K(y,z \ u)) = T(x,K(y,u \ z)). [para(5258(a,1),7295(a,1,2))]. given #6611 (H,wt=13): 7299 T(x,K(y,z \ x)) = T(x,K(y,z)). [hyper(6665,a,7297,a),flip(a)]. given #6612 (H,wt=15): 7298 T(x,K(y \ z,u)) = T(x,K(u,z \ y)). [para(5258(a,1),7296(a,1,2)),flip(a)]. given #6613 (H,wt=16): 7302 T(x,K(y \ z,z)) != u | T(x,K(z,y)) = u. [para(7298(a,2),6016(a,1))]. given #6614 (H,wt=17): 7303 T(x * K(y / z,x),z \ y) = T(x,K(y,z)). [hyper(7302,a,7224,a(flip)),flip(a)]. given #6615 (H,wt=15): 7304 T(T(x,K(y,z)),y / z) = T(x,z \ y). [para(7303(a,1),4420(a,1,1))]. given #6616 (H,wt=18): 7301 T(x,K(y \ z,u)) != w | T(x,K(z \ y,u)) = w. [para(7298(a,2),6121(a,1))]. given #6617 (H,wt=19): 7305 T(K(x,y) * z,x / z) = T(K(x,y) * z,z \ x). [para(6185(a,1),7304(a,1,1))]. given #6618 (H,wt=21): 7306 K(x,y) * T(K(y,x) * z,y / z) = T(z,z \ T(y,x)). [para(7305(a,2),6851(a,1,2))]. given #6619 (H,wt=21): 7307 T(x * K(y,z),y / x) * K(z,y) = T(x,x \ T(y,z)). [hyper(3957,a,7306,a)]. given #6620 (H,wt=21): 7308 T(x,x \ T(y,z)) * K(y,z) = T(x * K(y,z),y / x). [hyper(3929,a,7307,a)]. given #6621 (H,wt=21): 7309 (x / y) * T(x * (y / x),z) = T(x * K(y,z),y / x). [hyper(189,a,5172,a(flip),b,7308,a(flip)),flip(a)]. given #6622 (H,wt=22): 7291 K(x * R(y,z,u),y) * K(y,x) = y \ R(y,x,R(y,z,u)). [hyper(75,a,7266,a(flip),b,4545,a),flip(a)]. given #6623 (H,wt=23): 7265 T(T(T(x,y),z) * T(y,x),T(T(x,y),z)) = T(T(x,z) * y,x). [hyper(189,a,7154,a,b,7263,a(flip)),flip(a)]. given #6624 (H,wt=23): 7278 K(x * R(T(y,z),u,w),T(y,v5)) = K(x * R(y,u,w),T(y,v5)). [para(7277(a,1),7202(a,1,2))]. given #6625 (H,wt=24): 7292 T(x,y) * (K(y * R(x,z,u),x) * w) = R(x,y,R(x,z,u)) * w. [para(7266(a,1),3837(a,1,1)),flip(a)]. given #6626 (H,wt=24): 7300 L(x,y,z) \ L(T(x,K(u,w)),y,z) = K(L(x,y,z),K(u,w \ x)). [para(7299(a,1),4397(a,1,2,1))]. given #6627 (H,wt=19): 7316 K(L(x,y,z),K(u,w \ x)) = K(L(x,y,z),K(u,w)). [hyper(4513,a,7300,a),flip(a)]. given #6628 (H,wt=19): 7317 K(L(x,y,z),K(u,w \ x)) = K(u,K(w,L(x,y,z))). [hyper(189,a,5969,a,b,7316,a)]. given #6629 (H,wt=25): 7242 T(x * L(L(y,z,u),w,v5),T(y,x)) = T(x * L(L(y,z,u),w,v5),y). [para(750(a,1),7232(a,1,2)),flip(a)]. given #6630 (H,wt=25): 7310 T(x * K(y * x,z),(y * x) / x) = (x / (y * x)) * T(x * y,z). [para(18(a,1),7309(a,1,2,1,2)),flip(a)]. given #6631 (H,wt=21): 7319 (x / (y * x)) * T(x * y,z) = T(x * K(y * x,z),y). [para(18(a,1),7310(a,1,2)),flip(a)]. given #6632 (H,wt=25): 7318 T(x,K(y \ z,L(z,u,w))) = (K(x,K(y,L(z,u,w))) * v5) / (x \ v5). [para(7317(a,1),5986(a,1,1,1)),flip(a)]. given #6633 (H,wt=19): 7320 T(x,K(y \ z,L(z,u,w))) = T(x,K(y,L(z,u,w))). [hyper(189,a,4550,a(flip),b,7318,a)]. given #6634 (H,wt=19): 7321 T(x,K(y \ z,L(y,u,w))) = T(x,K(z,L(y,u,w))). [hyper(7301,a,7320,a)]. given #6635 (H,wt=26): 7258 (x * (K(y,z) * x)) * K(y,K(z,x)) != x * u | T(K(y,z) * x,x) = u. [para(7254(a,1),294(a,1,2))]. given #6636 (H,wt=13): 7322 T(K(x,y) * z,z) = z * K(x,y). [hyper(7258,a,6607,a)]. given #6637 (H,wt=17): 7324 T(x * K(x / y,z),x) = x * K(y \ x,z). [para(6063(a,1),7322(a,1,1))]. given #6638 (H,wt=13): 7326 K(x / T(y,x),z) = K(y \ x,z). [hyper(7126,a,7324,a)]. given #6639 (H,wt=13): 7328 K((x \ 1) \ y,z) = K(x * y,z). [para(4240(a,1),7326(a,1,1)),flip(a)]. given #6640 (H,wt=20): 7323 K(x,T(y * K(z,u),y)) != w | K(x,K(z,u) * y) = w. [para(7322(a,1),6079(a,1,2,1))]. given #6641 (H,wt=26): 7325 (x \ (x * K(y \ x,z))) \ (x * K(x / y,z)) = L(x,K(y \ x,z),x). [para(7322(a,1),7133(a,1,1,2))]. given #6642 (H,wt=22): 7331 K(x \ y,z) \ (y * K(y / x,z)) = L(y,K(x \ y,z),y). [para(16(a,1),7325(a,1,1))]. given #6643 (H,wt=10): 7332 L(x,K(y \ x,z),x) = x. [hyper(6129,a,7331,a)]. given #6644 (H,wt=8): 7334 L(x,K(y,z),x) = x. [para(69(a,1),7332(a,1,2,1))]. given #6645 (H,wt=13): 7337 (1 / x) \ K(y,z) = x * K(y,z). [para(7334(a,1),4261(a,1,1)),flip(a)]. given #6646 (H,wt=13): 7338 (1 / x) * (x * K(y,z)) = K(y,z). [para(7337(a,1),17(a,1,2))]. given #6647 (H,wt=12): 7342 L(K(x,y),z \ 1,z) = K(x,y). [hyper(4218,a,7338,a)]. given #6648 (H,wt=12): 7343 L(K(x,y),z,z \ 1) = K(x,y). [hyper(2390,a,7338,a)]. given #6649 (H,wt=13): 7341 (x \ 1) * K(y,z) = x \ K(y,z). [para(67(a,1),7337(a,1,1)),flip(a)]. given #6650 (H,wt=13): 7347 K(x,y) * (1 / z) = K(x,y) / z. [para(7343(a,1),4216(a,1,1))]. given #6651 (H,wt=13): 7350 (x \ K(y,z)) \ (x \ 1) = K(z,y). [para(7341(a,1),3918(a,1,1))]. given #6652 (H,wt=13): 7352 1 / (x \ K(y,z)) = K(y,z) \ x. [hyper(75,a,67,a(flip),b,7347,a),flip(a)]. given #6653 (H,wt=13): 7353 (K(x,y) / z) \ 1 = z * K(y,x). [para(7350(a,1),223(a,1,2)),flip(a)]. given #6654 (H,wt=13): 7354 (K(x,y) \ z) \ 1 = z \ K(x,y). [para(7352(a,1),69(a,1,1))]. given #6655 (H,wt=13): 7356 1 / (x * K(y,z)) = K(z,y) / x. [para(7353(a,1),67(a,1,2))]. given #6656 (H,wt=13): 7358 (K(x,y) * z) \ 1 = z \ K(y,x). [para(3889(a,1),7354(a,1,1))]. given #6657 (H,wt=15): 7345 K((x * y) \ 1,z) = K(y \ (x \ 1),z). [hyper(189,a,5528,a(flip),b,7342,a(flip)),flip(a)]. given #6658 (H,wt=16): 7339 (1 / x) \ K(y,z) != x * u | K(y,z) = u. [para(7337(a,2),22(a,1))]. given #6659 (H,wt=16): 7344 (1 / x) \ K(y,z) != u | x * K(y,z) = u. [para(7338(a,1),237(a,1,2)),flip(b)]. given #6660 (H,wt=16): 7355 (K(x,y) / z) \ 1 != z * u | K(y,x) = u. [para(7353(a,2),22(a,1))]. given #6661 (H,wt=17): 7360 K((x * (y \ 1)) \ 1,z) = K(y * (x \ 1),z). [hyper(189,a,7328,a(flip),b,7345,a)]. given #6662 (H,wt=17): 7363 K((x \ 1) * (y \ 1),z) = K((y * x) \ 1,z). [hyper(189,a,5571,a(flip),b,7360,a(flip))]. given #6663 (H,wt=17): 7365 K(((x \ 1) * y) \ 1,z) = K((y \ 1) * x,z). [hyper(189,a,5561,a(flip),b,7363,a(flip))]. given #6664 (H,wt=23): 7364 K(x * (((x \ y) \ 1) \ 1),z) / (x \ T(y,z)) = 1 / (x \ y). [para(7360(a,1),5717(a,1,1))]. given #6665 (H,wt=15): 7367 K(x,y) / (z \ T(x,y)) = 1 / (z \ x). [para(5565(a,1),7364(a,1,1))]. given #6666 (H,wt=15): 7368 (1 / (x \ y)) \ K(y,z) = x \ T(y,z). [para(7367(a,1),69(a,1,1))]. given #6667 (H,wt=13): 7370 (x \ y) * K(y,z) = x \ T(y,z). [hyper(7344,a,7368,a)]. given #6668 (H,wt=13): 7371 (x / y) \ T(x,z) = y * K(x,z). [hyper(455,a,7370,a),flip(a)]. given #6669 (H,wt=13): 7377 (x / y) * (y * K(x,z)) = T(x,z). [para(7371(a,1),17(a,1,2))]. given #6670 (H,wt=13): 7380 T(x,y) = (x / (y * x)) * (x * y). [para(95(a,1),7377(a,1,2)),flip(a)]. given #6671 (H,wt=14): 7381 T(x,y) / (x * y) = R(1 / y,y,x). [hyper(76,a,7380,a,b,285,a)]. given #6672 (H,wt=15): 7383 R(1 / x,x,T(y,x)) = R(1 / x,x,y). [hyper(538,a,7381,a)]. given #6673 (H,wt=16): 7375 (x \ T(y,z)) * K(z,y) != u | x \ y = u. [para(7370(a,1),3921(a,1,1)),flip(b)]. given #6674 (H,wt=15): 7386 (1 / (x \ T(y,z))) \ K(z,y) = x \ y. [hyper(7375,a,7337,a(flip)),flip(a)]. given #6675 (H,wt=15): 7388 (T(x,y) / z) \ x = (1 / z) \ K(y,x). [para(69(a,1),7386(a,1,1,2)),flip(a)]. given #6676 (H,wt=17): 7373 T(x,y) * K(x * y,z) = y \ T(x * y,z). [para(35(a,2),7370(a,1,1))]. given #6677 (H,wt=17): 7378 (x \ y) / (z * K(y / x,x)) = (y / x) / z. [hyper(76,a,115,a(flip),b,7377,a)]. given #6678 (H,wt=17): 7385 R(1 / x,x,y / x) = R(1 / x,x,x \ y). [para(115(a,1),7383(a,1,3)),flip(a)]. given #6679 (H,wt=17): 7391 (x \ y) / (z * K(x \ y,x)) = (y / x) / z. [para(3896(a,1),7378(a,1,2,2))]. given #6680 (H,wt=18): 7392 R(1 / x,x,x \ y) \ (y / x) = x * (y / x). [para(7385(a,1),290(a,1,1))]. given #6681 (H,wt=15): 7394 ((x \ y) / y) * (x * (y / x)) = y / x. [para(7392(a,1),609(a,1,2))]. given #6682 (H,wt=19): 7393 (x \ y) / (z / T(x,x \ y)) = (y / x) / (z / x). [para(5178(a,1),7391(a,1,2))]. given #6683 (H,wt=18): 7396 (x \ y) / (1 / T(x,x \ y)) = L(y,x,x \ 1). [hyper(189,a,4215,a(flip),b,7393,a)]. given #6684 (H,wt=17): 7397 L(x,y,y \ 1) != z | (y \ 1) \ (y \ x) = z. [para(7396(a,1),4288(a,1))]. given #6685 (H,wt=21): 7382 (x / (y * x)) * T(x * y,z) = T(x,y) * K(x * y,z). [para(7380(a,2),5139(a,1,1)),flip(a)]. given #6686 (H,wt=19): 7398 T(x * K(y * x,z),y) = T(x,y) * K(x * y,z). [hyper(189,a,7319,a(flip),b,7382,a(flip)),flip(a)]. given #6687 (H,wt=21): 7390 T(x,y) * K(z,K(u,x * y)) = y \ T(x * y,K(z,u)). [para(5969(a,2),7373(a,1,2))]. given #6688 (H,wt=23): 7366 T(x,y) / ((1 / z) \ x) = K((z \ 1) * ((z \ 1) \ x),y) / z. [para(7365(a,1),5638(a,2,1))]. given #6689 (H,wt=15): 7400 T(x,y) / ((1 / z) \ x) = K(x,y) / z. [para(17(a,1),7366(a,2,1,1))]. given #6690 (H,wt=15): 7401 T(x,y) / ((1 / y) \ x) = 1 / T(y,x). [hyper(189,a,4362,a(flip),b,7400,a)]. given #6691 (H,wt=25): 7359 T(x,y * (((z * K(u,w)) \ 1) \ v5)) = T(x,y * ((K(w,u) / z) \ v5)). [para(7356(a,1),4135(a,1,2,2,1)),flip(a)]. given #6692 (H,wt=25): 7395 K(x,(y * (z / y)) / ((z / y) * x)) = K(x,((y \ z) / z) \ (x \ 1)). [para(7394(a,1),6758(a,1,2,2,1))]. given #6693 (H,wt=23): 7404 K(x,(y * (z / y)) / ((z / y) * x)) = K(x,z / ((y \ z) * x)). [hyper(189,a,6761,a(flip),b,7395,a)]. given #6694 (H,wt=20): 7405 K(x,R(x \ y,x,z / y)) = K(x,z / ((y \ z) * x)). [hyper(189,a,6762,a,b,7404,a(flip)),flip(a)]. given #6695 (H,wt=22): 7406 K(x,R(x \ (y / z),x,y / (y / z))) = K(x,y / (z * x)). [para(69(a,1),7405(a,2,2,2,1))]. given #6696 (H,wt=25): 7399 K(x,y * z) * T(y * K(z * y,x),z) = T(T(y,z),K(x,y * z)). [para(7398(a,2),6122(a,1,2))]. given #6697 (H,wt=23): 7407 K(x,y * z) * T(y * K(z * y,x),z) = T(T(y,K(z,x)),z). [hyper(189,a,6670,a(flip),b,7399,a)]. given #6698 (H,wt=21): 7408 K(x,y * z) * T(y * K(z * y,x),z) = T(y,T(z,x)). [hyper(189,a,6321,a(flip),b,7407,a)]. given #6699 (H,wt=27): 7403 T(x,y * ((K(z,z \ 1) / u) \ w)) = T(x,y * ((u \ K(z,z \ 1)) \ w)). [para(3246(a,1),7359(a,1,2,2,1)),flip(a)]. given #6700 (H,wt=28): 7314 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(7278(a,1),4654(a,1,1,2))]. given #6701 (H,wt=26): 7410 T(T(x * K(y * R(x,z,u),x),w),y) = R(T(x,w),y,R(T(x,w),z,u)). [para(4653(a,1),7314(a,1,1))]. given #6702 (H,wt=21): 7411 R(T(x,y),z,R(T(x,y),u,w)) = R(T(x,y),z,R(x,u,w)). [hyper(189,a,5651,a(flip),b,7410,a(flip))]. given #6703 (H,wt=29): 7262 K((x \ R(y,z,u)) / w,R(T(y,x),z,u)) = K(w \ (x \ R(y,z,u)),R(y,z,u)). [para(45(a,2),7240(a,1,2))]. given #6704 (H,wt=29): 7290 L(K(x,y),z / K(x,y),u) \ (u * z) = T(u * (z * K(y,x)),K(y,L(x,z,u))). [hyper(189,a,6623,a,b,7289,a(flip)),flip(a)]. given #6705 (H,wt=29): 7313 K((T(T(x,y),z) * T(y,x)) \ u,T(x,y)) = K(T(T(x,z) * y,x) \ u,T(x,y)). [para(7265(a,1),6414(a,1,1,1)),flip(a)]. given #6706 (H,wt=27): 7415 K((T(T(x,y),z) * T(y,x)) \ u,T(x,y)) = K((T(x,z) * y) \ u,T(x,y)). [hyper(189,a,6244,a(flip),b,7313,a)]. given #6707 (H,wt=25): 7416 K((T(T(x,y),z) * T(y,x)) \ u,T(x,y)) = K(u / (T(x,z) * y),x). [hyper(189,a,6830,a(flip),b,7415,a)]. given #6708 (H,wt=23): 7417 K(T(x,y) \ (T(y,x) \ z),T(y,x)) = K(z / (T(y,u) * x),y). [hyper(189,a,7004,a(flip),b,7416,a(flip)),flip(a)]. given #6709 (H,wt=21): 7419 K(T(x,y) \ (y \ z),T(y,x)) = K(z / (T(y,u) * x),y). [hyper(189,a,6571,a(flip),b,7417,a(flip)),flip(a)]. given #6710 (H,wt=17): 7420 K(x / (T(y,z) * u),y) = K((y \ x) / u,y). [hyper(6332,a,7419,a),flip(a)]. given #6711 (H,wt=15): 7423 K((x \ y) / z,x) = K(y / (x * z),x). [para(112(a,1),7420(a,1,1,2,1)),flip(a)]. given #6712 (H,wt=17): 7422 K(x / (T(y,z) * u),y) = K(x / (u * y),y). [hyper(6451,a,7420,a(flip)),flip(a)]. given #6713 (H,wt=17): 7425 K((T(x,y) \ z) / u,x) = K(z / (u * x),x). [hyper(189,a,7024,a,b,7422,a(flip)),flip(a)]. given #6714 (H,wt=18): 7424 K(x / (y * z),y) != u | K(x / (z * y),y) = u. [para(7423(a,1),6451(a,1))]. given #6715 (H,wt=29): 7409 T(x,(K(y \ 1,y) * z) * ((u \ 1) \ w)) = T(x,z * ((u \ K(y,y \ 1)) \ w)). [hyper(189,a,5740,a,b,7403,a(flip)),flip(a)]. given #6716 (H,wt=29): 7427 T(x,K(y \ 1,y) * (z * ((u \ 1) \ w))) = T(x,z * ((u \ K(y,y \ 1)) \ w)). [para(3184(a,1),7409(a,1,2))]. given #6717 (H,wt=23): 7428 T(x,y * ((z \ K(u,u \ 1)) \ w)) = T(x,y * ((z \ 1) \ w)). [hyper(189,a,4082,a(flip),b,7427,a(flip))]. given #6718 (H,wt=25): 7430 K(x,y * ((z \ K(u,u \ 1)) \ w)) = x \ T(x,y * ((z \ 1) \ w)). [hyper(75,a,7428,a(flip),b,4396,a(flip)),flip(a)]. given #6719 (H,wt=23): 7431 K(x,y * ((z \ K(u,u \ 1)) \ w)) = K(x,y * ((z \ 1) \ w)). [hyper(189,a,4360,a,b,7430,a)]. given #6720 (H,wt=19): 7432 K(x,y * ((1 / z) \ u)) = K(x,y * ((z \ 1) \ u)). [para(1537(a,1),7431(a,1,2,2,1))]. given #6721 (H,wt=15): 7433 K(x,(y \ 1) * ((1 / y) \ z)) = K(x,z). [para(17(a,1),7432(a,2,2))]. given #6722 (H,wt=13): 7434 K(x,K(y \ 1,y) * z) = K(x,z). [para(2405(a,1),7433(a,1,2))]. given #6723 (H,wt=13): 7436 K(x,y * K(z,z \ 1)) = K(x,y). [para(2481(a,1),7434(a,1,2)),flip(a)]. given #6724 (H,wt=15): 7435 K(x,((y \ 1) \ 1) \ z) = K(x,y \ z). [para(2445(a,1),7434(a,1,2))]. given #6725 (H,wt=15): 7439 K(x,y \ ((z \ 1) \ 1)) = K(x,y \ z). [para(3450(a,1),7434(a,1,2)),flip(a)]. given #6726 (H,wt=17): 7438 K(x,(K(y \ 1,y) * z) / u) = K(x,z / u). [para(3185(a,2),7434(a,1,2))]. given #6727 (H,wt=17): 7440 K(x,(K(y,y \ 1) * z) \ u) = K(x,z \ u). [para(4121(a,2),7434(a,1,2))]. given #6728 (H,wt=17): 7441 K(x,y / (K(z,z \ 1) * u)) = K(x,y / u). [para(4143(a,2),7434(a,1,2))]. given #6729 (H,wt=17): 7442 K(x,y \ (K(z,z \ 1) * u)) = K(x,y \ u). [para(4128(a,2),7436(a,1,2))]. given #6730 (H,wt=17): 7447 K(x,(K(y \ 1,y) * z) \ u) = K(x,z \ u). [para(1538(a,1),7440(a,1,2,1,1))]. given #6731 (H,wt=17): 7449 K(x,y / (K(z \ 1,z) * u)) = K(x,y / u). [para(1538(a,1),7441(a,1,2,2,1))]. given #6732 (H,wt=19): 7446 K(x,(y * (1 / z)) / u) = K(x,(y * (z \ 1)) / u). [para(2446(a,1),7438(a,1,2,1)),flip(a)]. given #6733 (H,wt=19): 7448 K(x,(y * (1 / z)) \ u) = K(x,(y * (z \ 1)) \ u). [para(2416(a,1),7440(a,1,2,1))]. given #6734 (H,wt=19): 7451 K(x,y \ (((z \ 1) \ 1) * u)) = K(x,y \ (z * u)). [para(2365(a,1),7442(a,1,2,2))]. given #6735 (H,wt=19): 7456 K(x,(y * ((z \ 1) \ 1)) / u) = K(x,(y * z) / u). [para(67(a,1),7446(a,1,2,1,2)),flip(a)]. given #6736 (H,wt=21): 7443 K(x \ 1,y / (z * (x \ 1))) = K(x \ 1,(z / y) \ x). [hyper(189,a,6761,a(flip),b,7439,a(flip)),flip(a)]. given #6737 (H,wt=21): 7457 K(x \ 1,y / (z * (x \ 1))) = K(x \ 1,(y * x) / z). [hyper(189,a,7119,a(flip),b,7456,a(flip)),flip(a)]. given #6738 (H,wt=23): 7450 K(x,y / (z * (u / ((w \ 1) \ 1)))) = K(x,y / (z * (u / w))). [para(4116(a,1),7441(a,1,2,2)),flip(a)]. given #6739 (H,wt=23): 7452 K(x,((((y \ 1) \ 1) * z) \ u) \ w) = K(x,((y * z) \ u) \ w). [para(4127(a,1),7447(a,1,2,1))]. given #6740 (H,wt=23): 7453 K(x,L(K(y \ 1,y) * z,u,w) \ v5) = K(x,L(z,u,w) \ v5). [para(5064(a,2),7447(a,1,2,1))]. given #6741 (H,wt=23): 7454 K(x,y / ((((z \ 1) \ 1) \ u) * w)) = K(x,y / ((z \ u) * w)). [para(3221(a,1),7449(a,1,2,2))]. given #6742 (H,wt=23): 7455 K(x,y / ((z / (1 / u)) * w)) = K(x,y / ((z / (u \ 1)) * w)). [para(3222(a,1),7449(a,1,2,2))]. given #6743 (H,wt=23): 7459 K(x,y / (z * (x / ((z \ 1) \ 1)))) = K(x,(z * (x / z)) \ y). [hyper(189,a,5417,a(flip),b,7450,a)]. given #6744 (H,wt=15): 7462 K(x,(y * (x / y)) \ z) = K(x,x \ z). [hyper(189,a,5816,a(flip),b,7459,a(flip))]. given #6745 (H,wt=17): 7463 K(x,x \ (y * x)) = K(x,K(z \ x,z) * y). [hyper(6862,a,7462,a),flip(a)]. given #6746 (H,wt=13): 7465 K(x,K(y \ x,y) * z) = K(x,z). [hyper(3940,a,7463,a),flip(a)]. given #6747 (H,wt=13): 7468 K(x,K(y,y \ x) * z) = K(x,z). [para(3887(a,1),7465(a,1,2)),flip(a)]. given #6748 (H,wt=15): 7467 K(x * y,K(y,x) * z) = K(x * y,z). [para(16(a,1),7465(a,1,2,1,1))]. given #6749 (H,wt=21): 7471 T((K(x,y) * z) * K(y * x,z),y * x) = K(x,y) * z. [para(7467(a,1),4374(a,1,1,2))]. given #6750 (H,wt=21): 7472 (K(x,y) * z) * T(y * x,z) = (y * x) * (K(x,y) * z). [para(7471(a,1),5133(a,1,2)),flip(a)]. given #6751 (H,wt=23): 7461 K(x,y / ((z / ((u \ 1) \ 1)) * w)) = K(x,y / ((z / u) * w)). [para(67(a,1),7455(a,1,2,2,1,2)),flip(a)]. given #6752 (H,wt=23): 7470 K(x,y) * ((K(z,z \ x) * y) * x) = x * (K(z,z \ x) * y). [para(7468(a,1),4373(a,1,1))]. given #6753 (H,wt=23): 7473 T(x,y) * T(K(z,z \ x) * y,x) = x * (K(z,z \ x) * y). [hyper(4691,a,7470,a)]. given #6754 (H,wt=13): 7474 T(x,K(y,y \ x) * z) = T(x,z). [hyper(3556,a,7473,a)]. given #6755 (H,wt=24): 7458 K(x \ 1,y / R(z,x,x \ 1)) = K(x \ 1,(y * x) / (z * x)). [para(369(a,1),7457(a,1,2,2))]. given #6756 (H,wt=20): 7476 K(x \ 1,y / R(z,x,x \ 1)) = K(x \ 1,y / z). [hyper(189,a,6946,a(flip),b,7458,a)]. given #6757 (H,wt=23): 7477 K(x \ 1,y / T(z * (x \ 1),x)) = K(x \ 1,y / (x \ z)). [para(521(a,1),7476(a,1,2,2))]. given #6758 (H,wt=21): 7478 K(x \ 1,y / (z * (x \ 1))) = K(x \ 1,y / (x \ z)). [hyper(189,a,6940,a(flip),b,7477,a(flip)),flip(a)]. given #6759 (H,wt=19): 7479 K(x \ 1,y / (x \ z)) = K(x \ 1,(z / y) \ x). [hyper(189,a,7443,a(flip),b,7478,a(flip))]. given #6760 (H,wt=25): 7444 K(x \ 1,R(y * (x \ 1),z,u) \ 1) = R(K(x \ 1,y \ x),z,u). [para(7439(a,1),5671(a,1,1)),flip(a)]. given #6761 (H,wt=25): 7460 K(x,L((1 / y) * z,u,w) \ v5) = K(x,L((y \ 1) * z,u,w) \ v5). [para(2378(a,1),7453(a,1,2,1,1)),flip(a)]. given #6762 (H,wt=25): 7482 K(1 / x,L((x \ 1) * y,z,u) \ 1) = K(L(x,z,u) \ 1,y \ x). [hyper(7026,a,7460,a),flip(a)]. given #6763 (H,wt=25): 7483 K(x \ 1,L((x \ 1) * y,z,u) \ 1) = K(L(x,z,u) \ 1,y \ x). [hyper(4254,a,7482,a)]. given #6764 (H,wt=27): 7437 K(x,(y \ L(y * (z / y),u,w)) * y) = K(x,L(z * K(y,y \ 1),u,w)). [para(2955(a,1),7434(a,1,2))]. given #6765 (H,wt=27): 7484 K(x,x * (x \ L(x * (y / x),z,u))) = K(x,L(y * K(x,x \ 1),z,u)). [hyper(4577,a,7437,a)]. given #6766 (H,wt=23): 7485 K(x,L(y * K(x,x \ 1),z,u)) = K(x,L(x * (y / x),z,u)). [para(17(a,1),7484(a,1,2)),flip(a)]. given #6767 (H,wt=23): 7487 K(x,L(K(x,x \ 1) * y,z,u)) = K(x,L(x * (y / x),z,u)). [para(2502(a,2),7485(a,1,2,1))]. given #6768 (H,wt=23): 7488 K(x,L(x \ ((x \ 1) \ y),z,u)) = K(x,L(x * (y / x),z,u)). [hyper(189,a,7009,a,b,7487,a(flip)),flip(a)]. given #6769 (H,wt=19): 7489 K(x,L(x \ ((x \ 1) \ y),z,u)) = K(x,L(y,z,u)). [hyper(189,a,5120,a(flip),b,7488,a)]. given #6770 (H,wt=20): 7490 K(x,y \ (x \ (y * ((x \ 1) \ z)))) = K(x,L(z,x,y)). [hyper(7008,a,7489,a)]. given #6771 (H,wt=28): 7480 R(K(x \ 1,(y / (z / u)) \ x),z / u,u) = K(x \ 1,z / ((x \ y) * u)). [para(7479(a,1),5678(a,1,1))]. given #6772 (H,wt=28): 7481 K(x \ 1,R(y * (x \ 1),z,u) \ 1) != w | K(R(x,z,u) \ 1,y \ x) = w. [para(7444(a,2),4937(a,1))]. given #6773 (H,wt=28): 7491 K(R(x,y / z,z) \ 1,(u / (y / z)) \ x) = K(x \ 1,y / ((x \ u) * z)). [hyper(4937,a,7480,a)]. given #6774 (H,wt=29): 7469 (K(x,K(y \ z,y)) * K(z,x)) \ (x * K(y \ z,y)) = T(K(y \ z,y) * x,z). [para(7465(a,1),5179(a,1,1,2))]. given #6775 (H,wt=29): 7492 (K(x,K(y,y \ z)) * K(z,x)) \ (x * K(y \ z,y)) = T(K(y \ z,y) * x,z). [para(5983(a,1),7469(a,1,1,1))]. given #6776 (H,wt=27): 7493 (K(x,K(y,z)) * K(z,x)) \ (x * K(y \ z,y)) = T(K(y \ z,y) * x,z). [para(5995(a,1),7492(a,1,1,1))]. given #6777 (H,wt=23): 7494 K(x,T(y,z)) \ (y * K(z \ x,z)) = T(K(z \ x,z) * y,x). [para(5978(a,1),7493(a,1,1))]. given #6778 (H,wt=23): 7495 K(x,T(y,z)) * (x * K(z \ y,z)) = T(K(z \ y,z) * x,y). [hyper(5402,a,7494,a)]. given #6779 (H,wt=21): 7496 T(x,T(y,z)) * K(z \ y,z) = T(K(z \ y,z) * x,y). [hyper(4564,a,7495,a)]. given #6780 (H,wt=19): 7497 T(K(x \ y,x) * z,y) = K(x \ y,x) * T(z,y). [hyper(189,a,6905,a(flip),b,7496,a(flip))]. given #6781 (H,wt=23): 7498 T(K(x \ (y * x),x) * z,y * x) = K(y,x) * T(z,y * x). [para(3895(a,1),7497(a,2,1))]. given #6782 (H,wt=19): 7499 T(K(x,y) * z,x * y) = K(x,y) * T(z,x * y). [para(3895(a,1),7498(a,1,1,1))]. given #6783 (H,wt=19): 7500 T(x * K(y,z),z * y) = T(x,z * y) * K(y,z). [hyper(4992,a,7499,a),flip(a)]. given #6784 (H,wt=31): 6336 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(4923(a,1),6280(a,1,1,2))]. given #6785 (H,wt=29): 7502 1 * ((x \ R(x,y,z)) / K(u,R(x,w,v5))) = K(R(x,w,v5),u) * (x \ R(x,y,z)). [para(190(a,1),6336(a,1,1))]. given #6786 (H,wt=29): 7504 1 * ((x \ R(x,y,z)) * K(R(x,u,w),v5)) = K(R(x,u,w),v5) * (x \ R(x,y,z)). [para(3890(a,1),7502(a,1,2))]. given #6787 (H,wt=24): 7505 K(R(x,y,z),u) * (x \ R(x,y,z)) = 1 * (x \ R(T(x,u),y,z)). [para(5715(a,1),7504(a,1,2)),flip(a)]. given #6788 (H,wt=22): 7506 K(R(x,y,z),u) * (x \ R(x,y,z)) = x \ R(T(x,u),y,z). [hyper(189,a,14,a(flip),b,7505,a)]. given #6789 (H,wt=22): 7507 K(x,R(y,z,u)) * (y \ R(T(y,x),z,u)) = y \ R(y,z,u). [hyper(3907,a,7506,a)]. given #6790 (H,wt=31): 6346 x \ T(K(y,z) * (K(y,z) \ (x * u)),y) = (x \ K(y,z)) * T((x \ K(y,z)) \ u,y). [hyper(75,a,6342,a,b,826,a)]. given #6791 (H,wt=23): 7508 (x \ K(y,z)) * T((x \ K(y,z)) \ u,y) = x \ T(x * u,y). [para(17(a,1),6346(a,1,2,1)),flip(a)]. given #6792 (H,wt=19): 7510 K(x,(y \ K(x,z)) \ u) = (y \ T(y * u,x)) \ u. [para(7508(a,1),5184(a,1,1)),flip(a)]. given #6793 (H,wt=17): 7511 K(x,(y \ K(x,z)) \ u) = K(x,(y \ 1) \ u). [hyper(189,a,5243,a(flip),b,7510,a)]. given #6794 (H,wt=17): 7512 K(x,((y \ 1) \ K(x,z)) \ u) = K(x,y \ u). [hyper(189,a,7435,a(flip),b,7511,a)]. given #6795 (H,wt=19): 7513 K(x,((K(y,x) * (z \ 1)) \ 1) \ u) = K(x,z \ u). [para(7358(a,2),7512(a,1,2,1))]. given #6796 (H,wt=19): 7514 K(x,(((y \ 1) * K(z,x)) \ 1) \ u) = K(x,y \ u). [para(6051(a,1),7513(a,1,2,1,1))]. given #6797 (H,wt=19): 7515 K(x,((y * K(z,x)) \ 1) \ u) = K(x,(y \ 1) \ u). [hyper(189,a,7452,a(flip),b,7514,a(flip)),flip(a)]. given #6798 (H,wt=21): 7516 K(x,((T(y,x) / z) \ 1) \ u) = K(x,((y / z) \ 1) \ u). [para(1097(a,1),7515(a,1,2,1,1))]. given #6799 (H,wt=31): 6675 K(T(x * K(x * y,x),z * K(y * x,z)),u) = K((x * K(x * y,x)) * K(x,z),u). [para(4620(a,1),6674(a,2,1,2,1))]. given #6800 (H,wt=29): 7517 K(T(x,y * K(z * x,y)),T(u,x * z)) = K((x * K(x * z,x)) * K(x,y),u). [hyper(6268,a,6675,a)]. given #6801 (H,wt=27): 7518 K(T(x,y * K(z * x,y)),T(u,z)) = K((x * K(x * z,x)) * K(x,y),u). [hyper(189,a,6453,a(flip),b,7517,a(flip)),flip(a)]. given #6802 (H,wt=25): 7519 K((x * K(x * y,x)) * K(x,z),u) = K(x * K(T(x,y),z),T(u,y)). [hyper(189,a,6676,a(flip),b,7518,a(flip))]. given #6803 (H,wt=23): 7520 K((x * K(x * y,x)) * K(x,z),u) = K(K(y,x) * T(x,z),u). [hyper(189,a,6404,a(flip),b,7519,a)]. given #6804 (H,wt=21): 7521 K(T(x,y) * K(x * z,x),u) = K(K(z,x) * T(x,y),u). [para(4783(a,1),7520(a,1,1))]. given #6805 (H,wt=21): 7522 K(K(x * y,x) * T(x,z),u) = K(K(y,x) * T(x,z),u). [para(2759(a,1),7521(a,1,1))]. given #6806 (H,wt=21): 7523 K(K(x * y,x) * T(x,z),T(u,z)) = K(x,T(u,T(y,z))). [hyper(189,a,6658,a(flip),b,7522,a)]. given #6807 (H,wt=17): 7524 K(x,T(y,T(x * z,u))) = K(x,T(y,T(z,u))). [hyper(6659,a,7523,a)]. given #6808 (H,wt=15): 7525 K(x,T(x * y,T(y,z))) = K(x,x * y). [para(171(a,1),7524(a,1,2)),flip(a)]. given #6809 (H,wt=17): 7526 K(x,T(x * T(y,z),y)) = K(x,x * T(y,z)). [para(6092(a,1),7525(a,1,2))]. given #6810 (H,wt=27): 7527 K(T(x,y) \ z,T(z,T(x,z))) = K(T(x,y) \ z,(T(x,y) \ z) * T(x,y)). [hyper(189,a,4842,a(flip),b,7526,a(flip)),flip(a)]. given #6811 (H,wt=27): 7528 K(T(x,y) \ z,T(z,T(x,z))) = K(T(x,y) \ z,T(x,y) * (T(x,y) \ z)). [hyper(189,a,4576,a,b,7527,a)]. given #6812 (H,wt=19): 7529 K(T(x,y) \ z,T(z,T(x,z))) = K(T(x,y) \ z,z). [para(17(a,1),7528(a,2,2))]. given #6813 (H,wt=17): 7530 K(T(x,y) \ z,T(z,x)) = K(T(x,y) \ z,z). [para(3521(a,1),7529(a,1,2))]. given #6814 (H,wt=31): 6696 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(6694(a,1),4624(a,1,1,1)),flip(a)]. given #6815 (H,wt=13): 7531 K(x,R(y,z,R(y,u,w))) = K(x,y). [hyper(20,a,7353,a(flip),b,6696,a)]. given #6816 (H,wt=19): 7532 K(T(x,y),T(z,y)) = K(x,R(z,u,R(T(z,y),w,v5))). [hyper(6110,a,7531,a),flip(a)]. given #6817 (H,wt=15): 7533 K(x,R(y,z,R(T(y,u),w,v5))) = K(x,y). [hyper(6101,a,7532,a),flip(a)]. given #6818 (H,wt=29): 7535 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(7533(a,1),7507(a,1,1))]. given #6819 (H,wt=27): 7536 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(4561,a,7535,a)]. given #6820 (H,wt=27): 7537 K(x,y) * (y \ R(T(y,x),z,R(y,u,w))) = y \ R(y,z,R(T(y,x),u,w)). [para(7411(a,1),7535(a,1,2,2))]. given #6821 (H,wt=31): 6858 K(L(x,y,z) \ 1,(u \ w) \ ((x \ 1) \ 1)) = L(K(x \ 1,w \ ((x \ 1) \ u)),y,z). [para(6854(a,1),4824(a,1,1)),flip(a)]. given #6822 (H,wt=31): 6896 R(x,y / x,z) \ R(T(x,T(u,x \ y)),y / x,z) = K((y * z) / ((y / x) * z),u). [hyper(189,a,4398,a,b,6673,a(flip)),flip(a)]. given #6823 (H,wt=29): 7538 R(x,y / x,z) \ R(T(x,T(u,y)),y / x,z) = K((y * z) / ((y / x) * z),u). [para(6389(a,1),6896(a,1,2,1))]. given #6824 (H,wt=22): 7539 K(R(x,y / x,z),T(u,y)) = K((y * z) / ((y / x) * z),u). [hyper(4514,a,7538,a)]. given #6825 (H,wt=22): 7540 K(R(x,y / x,z),u) = K((y * z) / ((y / x) * z),T(u,y)). [hyper(6079,a,7539,a)]. given #6826 (H,wt=19): 7541 R(K((x / y) \ x,z),x,u) = K(R(y,x / y,u),z). [hyper(189,a,5762,a(flip),b,7540,a),flip(a)]. given #6827 (H,wt=15): 7542 K(R(x,y / x,z),u) = R(K(x,u),y,z). [para(69(a,1),7541(a,1,1,1)),flip(a)]. given #6828 (H,wt=17): 7543 R(K(x \ y,z),y,u) = K(R(x \ y,x,u),z). [para(67(a,1),7542(a,1,1,2)),flip(a)]. given #6829 (H,wt=31): 7413 K((T(x,y) \ R(x,z,u)) / w,R(x,z,u)) = K(w \ (T(x,y) \ R(x,z,u)),R(x,z,u)). [para(171(a,1),7262(a,1,2,1))]. given #6830 (H,wt=32): 6714 T(L(L(x * K(y,x),y,x),z,u) * y,x * K(y,x)) = L(x * K(y,x),z,u) * T(y,x). [para(6520(a,1),3850(a,1,1,1,1))]. given #6831 (H,wt=28): 7545 T(x * L(L(y,z,u),x,y),y * K(x,y)) = L(y * K(x,y),z,u) * T(x,y). [para(5055(a,1),6714(a,1,1))]. given #6832 (H,wt=24): 7546 T(x * L(L(y,z,u),x,y),y * K(x,y)) = T(x,y) * L(y,z,u). [hyper(189,a,4508,a(flip),b,7545,a)]. given #6833 (H,wt=24): 7547 T(x * L(L(y,x,y),z,u),y * K(x,y)) = T(x,y) * L(y,z,u). [para(48(a,1),7546(a,1,1,2))]. given #6834 (H,wt=22): 7548 T(x * L(L(y,x,y),z,u),T(y,x)) = T(x,y) * L(y,z,u). [hyper(189,a,6093,a(flip),b,7547,a(flip)),flip(a)]. given #6835 (H,wt=20): 7549 T(x * L(L(y,x,y),z,u),y) = T(x,y) * L(y,z,u). [hyper(189,a,7242,a(flip),b,7548,a(flip)),flip(a)]. given #6836 (H,wt=32): 6763 K(L(x,y * z,u),(u \ (u * (x * y))) \ (x * (y * z))) = K(x,L(L(z,y,x),x * y,u)). [para(348(a,1),6618(a,2,2))]. given #6837 (H,wt=28): 7551 K(L(x,y * z,u),(x * y) \ (x * (y * z))) = K(x,L(L(z,y,x),x * y,u)). [para(16(a,1),6763(a,1,2,1))]. given #6838 (H,wt=23): 7553 K(L(x,y * z,u),L(z,y,x)) = K(x,L(L(z,y,x),x * y,u)). [para(31(a,2),7551(a,1,2))]. given #6839 (H,wt=20): 7554 K(L(x,y * z,u),z) = K(x,L(L(z,y,x),x * y,u)). [hyper(189,a,6779,a(flip),b,7553,a(flip)),flip(a)]. given #6840 (H,wt=17): 7555 K(L(x,y * z,u),z) = K(x,L(z,x * y,u)). [hyper(189,a,6767,a(flip),b,7554,a)]. given #6841 (H,wt=17): 7558 K(L(x,(x \ y) * z,u),z) = K(x,L(z,y,u)). [para(17(a,1),7555(a,2,2,2))]. given #6842 (H,wt=10): 7560 K(x,L(y,z,y)) = K(x,y). [hyper(189,a,6980,a(flip),b,7558,a(flip))]. given #6843 (H,wt=12): 7562 T(x,L(y,z,y)) = x * K(x,y). [para(7560(a,1),4396(a,2,2))]. given #6844 (H,wt=10): 7563 T(x,L(y,z,y)) = T(x,y). [hyper(189,a,4396,a,b,7562,a)]. given #6845 (H,wt=15): 7564 T(x / L(y,z,y),y) = L(y,z,y) \ x. [hyper(307,a,7563,a),flip(a)]. given #6846 (H,wt=16): 7561 K(x,y \ K(z,L(x,u,w))) = K(x,y \ 1). [para(7558(a,1),6182(a,1,2,2))]. given #6847 (H,wt=17): 7559 K(x,L(y,x * (z / y),u)) = K(L(x,z,u),y). [para(19(a,1),7555(a,1,1,2)),flip(a)]. given #6848 (H,wt=14): 7573 T(x,y * K(L(x,z,u),w)) = T(x,y). [para(7559(a,1),6153(a,1,2,2))]. given #6849 (H,wt=14): 7574 K(K(L(x,y,z),u) * w,x) = K(w,x). [para(7559(a,1),6201(a,1,1,1))]. given #6850 (H,wt=16): 7572 K(L(R(x,y,z),u,x),w) = K(R(x,y,z),w). [hyper(7025,a,7559,a),flip(a)]. given #6851 (H,wt=16): 7578 K(R(L(x,y,x),z,u),w) = K(R(x,z,u),w). [para(47(a,2),7572(a,1,1))]. given #6852 (H,wt=17): 7565 T(x * L(y,x,y),L(y,z,y)) = T(x,y) * y. [hyper(189,a,3725,a(flip),b,7563,a)]. given #6853 (H,wt=17): 7569 (x / L(y,z,y)) * y = y * (L(y,z,y) \ x). [para(7564(a,1),113(a,1,2)),flip(a)]. given #6854 (H,wt=17): 7575 T(x,L(x,y,z) * u) = T(x,u * L(x,y,z)). [para(95(a,1),7573(a,1,2))]. given #6855 (H,wt=16): 7580 K(x,T(y,z * L(y,u,w))) = K(x,T(y,z)). [para(7575(a,1),7029(a,1,2))]. given #6856 (H,wt=17): 7581 K(x,T(y,z * (u * y))) = K(x,T(y,z * u)). [para(102(a,1),7580(a,1,2,2))]. given #6857 (H,wt=17): 7582 K(x,T(y,z * (y * u))) = K(x,T(y,z * u)). [para(6164(a,1),7581(a,1,2))]. given #6858 (H,wt=17): 7583 K(x * y,T(x,z * y)) = K(x * y,T(x,z)). [hyper(189,a,5412,a(flip),b,7582,a(flip))]. given #6859 (H,wt=19): 7571 K(x,y \ K(z,L(L(x,u,w),v5,v6))) = K(x,y \ 1). [para(7558(a,1),7561(a,1,2,2))]. given #6860 (H,wt=19): 7577 K(x * T(L(y,z,u),w),y) = K(x * L(y,z,u),y). [para(6095(a,1),7574(a,1,1))]. given #6861 (H,wt=19): 7584 K(T(x,y) * z,T(x,u * z)) = K(x * z,T(x,u)). [hyper(189,a,6243,a,b,7583,a(flip)),flip(a)]. given #6862 (H,wt=19): 7585 K(x * (y \ z),T(x,z)) = K(x * (y \ z),T(x,y)). [para(17(a,1),7583(a,1,2,2))]. given #6863 (H,wt=19): 7586 K(x * L(T(y,z),u,w),y) = K(x * L(y,u,w),y). [para(43(a,2),7577(a,1,1,2))]. given #6864 (H,wt=20): 7576 K(x,T(y,K(L(x,z,u),w) * v5)) = K(x * K(v5,x),y). [para(7574(a,1),6046(a,1,1,2)),flip(a)]. given #6865 (H,wt=18): 7588 K(x,T(y,K(L(x,z,u),w) * v5)) = K(x,T(y,v5)). [hyper(189,a,6046,a(flip),b,7576,a)]. given #6866 (H,wt=15): 7589 K(x,T(y,K(x,z) * u)) = K(x,T(y,u)). [para(262(a,1),7588(a,1,2,2,1,1))]. given #6867 (H,wt=15): 7593 K(x,T(y,z * K(x,u))) = K(x,T(y,z)). [para(6024(a,1),7589(a,1,2,2))]. given #6868 (H,wt=17): 7592 K(x,T(y,T(z,x) \ u)) = K(x,T(y,z \ u)). [para(4558(a,1),7589(a,1,2,2))]. given #6869 (H,wt=19): 7594 K(x,T(y,z * (u * x))) = K(x,T(y,z * (x * u))). [para(5943(a,1),7593(a,1,2,2)),flip(a)]. given #6870 (H,wt=19): 7595 K(x,T(y,(z \ (x * u)) \ x)) = K(x,T(y,u \ z)). [hyper(7191,a,7592,a),flip(a)]. given #6871 (H,wt=17): 7596 K(x,T(y,(x * z) \ u)) = K(x,T(y,z \ u)). [hyper(7264,a,7595,a)]. given #6872 (H,wt=17): 7597 K(x,T(y,(x \ z) \ u)) = K(x,T(y,z \ u)). [para(17(a,1),7596(a,1,2,2,1)),flip(a)]. given #6873 (H,wt=17): 7599 K(x,T(y,z \ (x * u))) = K(x,T(y,z \ u)). [hyper(189,a,6997,a(flip),b,7597,a(flip)),flip(a)]. given #6874 (H,wt=17): 7600 K(x,T(y,z \ (x \ u))) = K(x,T(y,z \ u)). [para(17(a,1),7599(a,1,2,2,2)),flip(a)]. given #6875 (H,wt=19): 7601 T(x,T(y,z \ (x * u))) = x * K(x,T(y,z \ u)). [para(7599(a,1),4396(a,2,2))]. given #6876 (H,wt=17): 7603 T(x,T(y,z \ (x * u))) = T(x,T(y,z \ u)). [hyper(189,a,4396,a,b,7601,a)]. given #6877 (H,wt=17): 7604 T(x,T(y,z \ (x \ u))) = T(x,T(y,z \ u)). [para(17(a,1),7603(a,1,2,2,2)),flip(a)]. given #6878 (H,wt=19): 7605 T(x,T(y \ (x \ z),y \ z)) = T(x,y \ (x \ z)). [para(112(a,1),7604(a,1,2)),flip(a)]. given #6879 (H,wt=21): 7570 K(x,(T(L(x,y,z),u) \ w) \ 1) = K(x,w \ L(x,y,z)). [hyper(189,a,5593,a(flip),b,7561,a(flip))]. given #6880 (H,wt=21): 7590 K(x,T(y,z / L(x,u,w))) = K(x,T(y,L(x,u,w) \ z)). [para(4296(a,1),7588(a,1,2,2))]. given #6881 (H,wt=16): 7607 K(x,T(y,z / L(x,u,w))) = K(x,T(y,z)). [hyper(189,a,6796,a(flip),b,7590,a)]. given #6882 (H,wt=17): 7609 K(x,T(y,z * (u * x))) = K(x,T(y,z * u)). [para(128(a,1),7607(a,1,2,2)),flip(a)]. given #6883 (H,wt=17): 7610 K(x,T(y,z * (x * u))) = K(x,T(y,z * u)). [hyper(189,a,7594,a(flip),b,7609,a(flip)),flip(a)]. given #6884 (H,wt=17): 7611 K(x,T(x * y,z * y)) = K(x,T(x * y,z)). [hyper(5498,a,7610,a),flip(a)]. given #6885 (H,wt=17): 7612 K(x,T(x * y,z * y)) = K(x,T(y * x,z)). [hyper(189,a,4579,a,b,7611,a)]. given #6886 (H,wt=21): 7591 K(x,T((K(x,y) * z) / u,z)) = K(x,u \ (K(x,y) * z)). [hyper(5325,a,7589,a),flip(a)]. given #6887 (H,wt=17): 7614 K(x,T(y / z,y)) = K(x,z \ (K(x,u) * y)). [hyper(7185,a,7591,a)]. given #6888 (H,wt=15): 7615 K(x,y \ (K(x,z) * u)) = K(x,y \ u). [hyper(5325,a,7614,a),flip(a)]. given #6889 (H,wt=15): 7616 K(x,y \ ((x \ z) * x)) = K(x,y \ z). [para(4293(a,1),7615(a,1,2,2)),flip(a)]. given #6890 (H,wt=15): 7617 K(x,y \ (z * x)) = K(x,y \ (x * z)). [para(4373(a,1),7615(a,1,2,2)),flip(a)]. given #6891 (H,wt=15): 7619 K(x,y \ (z * K(u,x))) = K(x,y \ z). [para(6052(a,1),7615(a,1,2,2)),flip(a)]. given #6892 (H,wt=17): 7620 K(x,y \ ((x \ 1) * (z * x))) = K(x,y \ z). [para(486(a,2),7616(a,1,2,2))]. given #6893 (H,wt=17): 7621 K(x,K(y,z \ (y \ u))) = K(x,K(y,z \ u)). [para(7616(a,1),6897(a,1,2)),flip(a)]. given #6894 (H,wt=17): 7622 K(x,y \ (z \ T(u,x))) = K(x,y \ (z \ u)). [para(1077(a,1),7619(a,1,2,2))]. given #6895 (H,wt=17): 7625 K(x,y \ ((T(z,x) / u) \ z)) = K(x,y \ u). [para(69(a,1),7622(a,1,2,2)),flip(a)]. given #6896 (H,wt=19): 7618 K(x,T(y \ (K(x,z) * u),w)) = T(K(x,y \ u),w). [para(7615(a,1),5334(a,2,1))]. given #6897 (H,wt=19): 7623 K(x / y,z \ (x / y)) = K(x / y,z \ (y \ x)). [para(4305(a,1),7619(a,1,2,2))]. given #6898 (H,wt=19): 7627 K(x,T(y \ (K(x,z) * u),w)) = K(x,T(y \ u,w)). [hyper(189,a,5334,a,b,7618,a)]. given #6899 (H,wt=19): 7628 K(x / y,z \ (x / y)) = K(y \ x,(z * y) \ x). [hyper(189,a,6895,a(flip),b,7623,a)]. given #6900 (H,wt=19): 7629 K(x,T(y \ (z / (z / x)),u)) = K(x,T(y \ x,u)). [para(4345(a,1),7627(a,1,2,1,2)),flip(a)]. given #6901 (H,wt=19): 7630 K(x / y,z \ (x / y)) = K(y \ x,y \ (z \ x)). [hyper(189,a,7187,a(flip),b,7628,a)]. given #6902 (H,wt=21): 7602 K(x,T(T(x \ y,z),u \ y)) = K(x,T(T(x \ y,z),u)). [hyper(7248,a,7600,a),flip(a)]. given #6903 (H,wt=21): 7606 K(x,(L(T(x,y),z,u) \ w) \ 1) = K(x,w \ L(x,z,u)). [para(43(a,2),7570(a,1,2,1,1))]. given #6904 (H,wt=19): 7634 K(x,y \ L(T(x,z),u,w)) = K(x,y \ L(x,u,w)). [hyper(5259,a,7606,a)]. given #6905 (H,wt=21): 7626 K(x,((T(y,x) / z) \ 1) \ z) = z \ ((T(y,x) / z) \ y). [hyper(189,a,5509,a(flip),b,7625,a(flip))]. given #6906 (H,wt=19): 7638 K(x,((y / z) \ 1) \ z) = z \ ((T(y,x) / z) \ y). [hyper(189,a,7516,a(flip),b,7626,a(flip)),flip(a)]. given #6907 (H,wt=19): 7639 (T(x,y) / z) \ x = z * K(y,((x / z) \ 1) \ z). [para(7638(a,2),17(a,1,2)),flip(a)]. given #6908 (H,wt=19): 7640 x * K(y,((z / x) \ 1) \ x) = (1 / x) \ K(y,z). [hyper(189,a,7388,a(flip),b,7639,a(flip))]. given #6909 (H,wt=19): 7641 (1 / x) \ K(y,z * x) = x * K(y,(z \ 1) \ x). [para(18(a,1),7640(a,1,2,2,1,1)),flip(a)]. given #6910 (H,wt=13): 7642 K(x,(y \ 1) \ z) = K(x,y * z). [hyper(7339,a,7641,a),flip(a)]. given #6911 (H,wt=21): 7632 K(x / (x / y),z \ (u / (u / y))) = K(y,T(z \ y,x)). [hyper(6272,a,7629,a)]. given #6912 (H,wt=21): 7633 K(x,T(T(x \ y,z),y \ u)) = K(x,T(T(x \ y,z),u)). [hyper(7247,a,7602,a)]. given #6913 (H,wt=21): 7644 K((x / y) \ x,(x / y) \ (z \ x)) = K(y,T(z \ y,x)). [hyper(189,a,7630,a(flip),b,7632,a(flip)),flip(a)]. given #6914 (H,wt=17): 7646 K(x,(y / x) \ (z \ y)) = K(x,T(z \ x,y)). [hyper(4628,a,7644,a)]. given #6915 (H,wt=17): 7648 K(x,y \ (x * (z \ y))) = K(x,T(z \ x,y)). [hyper(189,a,6362,a(flip),b,7646,a(flip)),flip(a)]. given #6916 (H,wt=17): 7649 K(x,y \ ((z \ y) * x)) = K(x,T(z \ x,y)). [hyper(189,a,7617,a,b,7648,a(flip)),flip(a)]. given #6917 (H,wt=19): 7650 K(x,T(y \ x,x * z)) = K(x,z \ (y \ (x * z))). [hyper(189,a,7132,a(flip),b,7649,a(flip))]. given #6918 (H,wt=17): 7651 K(x,y \ (z \ (x * y))) = K(x,T(z \ x,y)). [hyper(189,a,5421,a(flip),b,7650,a(flip))]. given #6919 (H,wt=21): 7645 K(x,T(T(x \ y,z),y * u)) = K(x,T(T(x \ y,z),u)). [para(16(a,1),7633(a,1,2,2)),flip(a)]. given #6920 (H,wt=22): 7598 K(x,T(y,(z * u) \ ((x * z) * u))) = K(x,T(y,a(x,z,u))). [para(27(a,2),7596(a,1,2,2)),flip(a)]. given #6921 (H,wt=21): 7654 K(x,T(y,R(T(x,z * u),z,u))) = K(x,T(y,a(x,z,u))). [para(507(a,1),7598(a,1,2,2))]. given #6922 (H,wt=12): 7655 K(x,T(y,a(x,z,u))) = K(x,y). [hyper(6103,a,7654,a),flip(a)]. given #6923 (H,wt=14): 7657 T(x,T(y,a(x,z,u))) = x * K(x,y). [para(7655(a,1),4396(a,2,2))]. given #6924 (H,wt=12): 7658 T(x,T(y,a(x,z,u))) = T(x,y). [hyper(189,a,4396,a,b,7657,a)]. given #6925 (H,wt=22): 7631 K(x / y,z \ (x / y)) != u | K(y \ x,y \ (z \ x)) = u. [para(7628(a,2),7188(a,1))]. given #6926 (H,wt=23): 7624 (K(x,K(y,z \ u)) * w) / (y \ w) = T(y,K(x,z \ (y \ u))). [para(7621(a,1),5974(a,1,1,1))]. given #6927 (H,wt=17): 7660 T(x,K(y,z \ (x \ u))) = T(x,K(y,z \ u)). [hyper(5977,a,7624,a),flip(a)]. given #6928 (H,wt=24): 7613 (x * y) / (x * (z \ T(z * y,z))) = L(K(z,T(y * z,x)),y,x). [para(7612(a,1),7053(a,1,1)),flip(a)]. given #6929 (H,wt=25): 7661 K(x,y \ (x \ z)) * T(x,K(u,y \ z)) = T(x,T(y \ (x \ z),u)). [para(7660(a,1),6685(a,1,2))]. given #6930 (H,wt=26): 7587 T(T(x * K(y * L(x,z,u),x),w),y) = R(T(x,w),y,L(T(x,w),z,u)). [para(7586(a,1),5050(a,1,1,1,2))]. given #6931 (H,wt=21): 7662 R(T(x,y),z,L(T(x,y),u,w)) = R(T(x,y),z,L(x,u,w)). [hyper(189,a,5650,a(flip),b,7587,a(flip))]. given #6932 (H,wt=26): 7653 L(K(x,T(T(x \ y,z),z)),z,y) = (y * (K(x,x \ y) * z)) / (y * z). [para(7645(a,1),6741(a,1,1))]. given #6933 (H,wt=22): 7664 (x * (K(y,y \ x) * z)) / (x * z) = L(K(y,y \ x),z,x). [para(6026(a,1),7653(a,1,1)),flip(a)]. given #6934 (H,wt=28): 7659 (T(x,x \ y) * a(x,z,u)) \ (a(x,z,u) * ((x \ y) \ y)) = K(a(x,z,u),x). [para(7658(a,1),6399(a,1,1,1))]. given #6935 (H,wt=15): 7666 K(a(x,y,z),T(x,u)) = K(a(x,y,z),x). [hyper(5495,a,7659,a)]. given #6936 (H,wt=31): 7579 ((x / L(T(y,z),u,T(y,z))) * K(y,z)) * y = T(y,z) * (L(T(y,z),u,T(y,z)) \ x). [hyper(5202,a,7569,a)]. given #6937 (H,wt=29): 7667 T(x,y) * (L(T(x,y),z,T(x,y)) \ u) = ((u / L(T(x,y),z,x)) * K(x,y)) * x. [para(6528(a,1),7579(a,1,1,1,2)),flip(a)]. given #6938 (H,wt=23): 7669 T(x,y) * (L(T(x,y),z,T(x,y)) \ u) = (u / L(x,z,x)) * x. [para(6525(a,1),7667(a,2,1))]. given #6939 (H,wt=23): 7670 T(x,y) * (L(T(x,y),z,T(x,y)) \ u) = x * (L(x,z,x) \ u). [hyper(189,a,7569,a(flip),b,7669,a)]. given #6940 (H,wt=21): 7672 T(x,y) * (L(T(x,y),z,x) \ u) = x * (L(x,z,x) \ u). [para(6528(a,1),7670(a,1,2,1))]. given #6941 (H,wt=32): 6872 K(x \ T(y,z),x) * (K(y,z) * (x * (x \ y))) = L(x \ y,x,K(y,z)) * (K(y,z) * x). [para(6871(a,1),5537(a,1,1))]. given #6942 (H,wt=28): 7674 L(x \ y,x,K(y,z)) * (K(y,z) * x) = K(x \ T(y,z),x) * (K(y,z) * y). [para(17(a,1),6872(a,1,2,2)),flip(a)]. given #6943 (H,wt=26): 7676 L(x \ y,x,K(y,z)) * (K(y,z) * x) = K(x \ T(y,z),x) * T(y,z). [para(4403(a,2),7674(a,2,2))]. given #6944 (H,wt=22): 7677 L(x \ y,x,K(y,z)) * (K(y,z) * x) = (x \ T(y,z)) * x. [hyper(189,a,4291,a(flip),b,7676,a)]. given #6945 (H,wt=22): 7678 L(x \ y,x,K(y,z)) * (K(y,z) * x) = T((x \ y) * x,z). [hyper(189,a,4153,a,b,7677,a)]. given #6946 (H,wt=25): 7679 L(x \ y,x,K(y,z)) * (K(y,z) * x) != u | T((x \ y) * x,z) = u. [para(7677(a,2),4155(a,1))]. given #6947 (H,wt=32): 7085 L(K(x * ((y * z) \ y),x),(y * z) \ y,z * y) = K((z * y) \ ((y * K(z,y)) * x),x). [para(1211(a,1),7084(a,2,1,2,1))]. given #6948 (H,wt=32): 7090 L(K(x,x * (y \ z)),y \ z,z * (y / z)) = K(x,(z * (y / z)) \ (T(z,z \ y) * x)). [para(5579(a,1),7088(a,2,2,2,1))]. given #6949 (H,wt=29): 7682 L(K(x,x * (y \ z)),y \ z,z * (y / z)) = K(x,L((z \ y) \ x,y / z,z)). [para(4016(a,1),7090(a,2,2))]. given #6950 (H,wt=24): 7683 L(K(x,x * (y \ z)),y \ z,z * (y / z)) = K(x,y \ (z * x)). [hyper(189,a,5933,a(flip),b,7682,a)]. given #6951 (H,wt=32): 7267 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(7243(a,2),5976(a,2,1))]. given #6952 (H,wt=32): 7312 K(R(x,y,z) * u,T(x,u)) * K(T(x,u),u) = T(x,u) \ R(T(x,u),u,R(T(x,u),y,z)). [para(160(a,1),7291(a,1,1,1))]. given #6953 (H,wt=30): 7684 T(x,y) \ R(T(x,y),y,R(T(x,y),z,u)) = K(R(x,z,u) * y,x) * K(T(x,y),y). [para(7244(a,1),7312(a,1,1)),flip(a)]. given #6954 (H,wt=28): 7685 T(x,y) \ R(T(x,y),y,R(T(x,y),z,u)) = K(R(x,z,u) * y,x) * K(x,y). [para(3876(a,1),7684(a,2,2))]. given #6955 (H,wt=24): 7686 K(R(x,y,z) * u,x) * K(x,u) = x \ R(x,u,R(T(x,u),y,z)). [hyper(189,a,7536,a(flip),b,7685,a(flip))]. given #6956 (H,wt=21): 7688 x \ R(x,y,R(T(x,y),z,u)) = L(x,y,R(x,z,u)) \ x. [hyper(189,a,7198,a(flip),b,7686,a(flip))]. given #6957 (H,wt=32): 7412 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(7411(a,1),7292(a,2,1))]. given #6958 (H,wt=30): 7689 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(7278(a,1),7412(a,1,2,1))]. given #6959 (H,wt=32): 7475 R(K(x,x \ y),z,T(y,K(x,x \ y) * z)) = (y * (K(x,x \ y) * z)) / (z * T(y,z)). [para(7474(a,1),155(a,1,2,2)),flip(a)]. given #6960 (H,wt=30): 7692 R(K(x,x \ y),z,T(y,K(x,x \ y) * z)) = (y * (K(x,x \ y) * z)) / (y * z). [para(113(a,1),7475(a,2,2))]. given #6961 (H,wt=32): 7501 (x * (y * z)) \ ((y * z) * T(x * K(z,y),y * z)) = L(K(z,y),T(x,y * z),y * z). [para(7500(a,2),153(a,1,2,2))]. given #6962 (H,wt=28): 7693 (x * (y * z)) \ ((x * K(z,y)) * (y * z)) = L(K(z,y),T(x,y * z),y * z). [para(113(a,1),7501(a,1,2))]. given #6963 (H,wt=31): 7694 L(K(x,y),T(z,y * x),y * x) != u | K(((z / x) * (y * x)) \ (z * (y * x)),y) = u. [para(7693(a,1),5609(a,1))]. given #6964 (H,wt=32): 7550 K(x,L(L(x,y,x),z,u) / (y \ 1)) * (y \ (T(y,x) * L(x,z,u))) = L(L(x,y,x),z,u). [para(7549(a,1),4671(a,1,2,2))]. given #6965 (H,wt=32): 7652 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(5895(a,1),7651(a,1,2))]. given #6966 (H,wt=32): 7681 L(K(x * ((y * z) \ y),x),(y * z) \ y,z * y) = K((z * y) \ (y * (K(z,y) * x)),x). [para(3828(a,1),7085(a,2,1,2))]. given #6967 (H,wt=29): 7697 L(K(x * ((y * z) \ y),x),(y * z) \ y,z * y) = K(L(z \ x,T(z,y),y),x). [para(4556(a,1),7681(a,2,1))]. given #6968 (H,wt=24): 7698 L(K(x * ((y * z) \ y),x),(y * z) \ y,z * y) = K(z \ x,x). [hyper(189,a,5536,a(flip),b,7697,a)]. given #6969 (H,wt=32): 7695 K(x,(y \ 1) \ L(L(x,y,x),z,u)) * (y \ (T(y,x) * L(x,z,u))) = L(L(x,y,x),z,u). [para(5411(a,1),7550(a,1,1))]. given #6970 (H,wt=33): 6791 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(5900(a,2),6780(a,2,2,2)),flip(a)]. given #6971 (H,wt=28): 7700 K(L(x,y,z),u \ ((1 / x) \ L(K(x,w),v5,v6))) = K(L(x,y,z),(x \ u) \ 1). [hyper(189,a,7171,a(flip),b,6791,a)]. given #6972 (H,wt=26): 7702 K(L(x,y,z),u \ ((1 / x) \ L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). [hyper(189,a,5258,a(flip),b,7700,a)]. given #6973 (H,wt=24): 7703 K(L(x,y,z),u \ (x * L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). [para(5900(a,1),7702(a,1,2,2))]. given #6974 (H,wt=33): 6900 K(x \ R(y,z,u),R((w \ 1) \ (w \ y),z,u)) = K((w \ x) \ (w \ R(y,z,u)),R(y,z,u)). [para(1715(a,2),6899(a,1,2))]. given #6975 (H,wt=33): 7402 T(x,y * L(y \ 1,y,z)) / ((1 / (y * L(y \ 1,y,z))) \ x) = 1 / (y * ((z * y) \ z)). [para(5810(a,1),7401(a,2,2))]. given #6976 (H,wt=34): 5901 R(R(x,y,z),y * z,L(K(z,u),z,x * y)) = ((x * y) * (z * K(z,u))) / ((y * z) * K(z,u)). [para(5897(a,1),943(a,1,2,2)),flip(a)]. given #6977 (H,wt=32): 7706 R(R(x,y,z),y * z,L(K(z,u),z,x * y)) = ((x * y) * T(z,u)) / ((y * z) * K(z,u)). [para(4396(a,2),5901(a,2,1,2))]. given #6978 (H,wt=30): 7707 R(R(x,y,z),y * z,L(K(z,u),z,x * y)) = ((x * y) * T(z,u)) / (y * T(z,u)). [para(5139(a,1),7706(a,2,2))]. given #6979 (H,wt=25): 7708 R(R(x,y,z),y * z,K(z,u)) = ((x * y) * T(z,u)) / (y * T(z,u)). [para(5897(a,1),7707(a,1,3))]. given #6980 (H,wt=21): 7709 R(R(x,y,z),y * z,K(z,u)) != w | R(x,y,T(z,u)) = w. [para(7708(a,2),385(a,1))]. given #6981 (H,wt=11): 7711 R(x,y,T(x,z)) = R(x,y,x). [hyper(7709,a,6146,a)]. given #6982 (H,wt=13): 7715 R(x,y,(x \ z) \ z) = R(x,y,x). [para(114(a,1),7711(a,1,3))]. given #6983 (H,wt=14): 7712 R(x,y,x) != z | R(x,y,T(x,u)) = z. [para(6146(a,1),7709(a,1))]. given #6984 (H,wt=27): 7716 R(T(x,x \ y),z,T((x \ y) \ y,u)) = R(T(x,x \ y),z,T(x,x \ y)). [para(525(a,1),7711(a,1,3))]. given #6985 (H,wt=23): 7720 R(T(x,x \ y),z,T((x \ y) \ y,u)) = R(T(x,x \ y),z,x). [hyper(189,a,6434,a(flip),b,7716,a)]. given #6986 (H,wt=31): 7717 x \ R(T(y,y \ z),u,T((y \ z) \ z,w)) = x \ R((y \ z) \ z,u,(y \ z) \ z). [para(7711(a,1),836(a,2,2))]. given #6987 (H,wt=25): 7722 x \ R(T(y,y \ z),u,y) = x \ R((y \ z) \ z,u,(y \ z) \ z). [para(7720(a,1),7717(a,1,2))]. given #6988 (H,wt=25): 7723 T(x,x \ y) \ R((x \ y) \ y,z,(x \ y) \ y) = x \ R(x,z,x). [hyper(189,a,6527,a(flip),b,7722,a(flip))]. given #6989 (H,wt=34): 5989 L(K(x * y,x) * K(x,K(z * y,x * y)),y,z) = (z * (T(x * y,x) / T(x,y))) / (z * y). [para(5969(a,1),5446(a,1,1,2))]. given #6990 (H,wt=32): 7724 L(K(x * y,x) * K(x,K(z * y,y)),y,z) = (z * (T(x * y,x) / T(x,y))) / (z * y). [para(5998(a,1),5989(a,1,1,2))]. given #6991 (H,wt=32): 7725 L(K(x * y,x) * K(x,K(y * z,y)),y,z) = (z * (T(x * y,x) / T(x,y))) / (z * y). [para(4617(a,1),7724(a,1,1,2,2))]. given #6992 (H,wt=32): 7726 L(K(x * y,x) * K(x,K(y,y * z)),y,z) = (z * (T(x * y,x) / T(x,y))) / (z * y). [para(5983(a,1),7725(a,1,1,2))]. given #6993 (H,wt=30): 7727 (x * (T(y * z,y) / T(y,z))) / (x * z) = L(K(y * z,y) * K(y,K(z,x)),z,x). [para(5965(a,1),7726(a,1,1,2)),flip(a)]. given #6994 (H,wt=28): 7728 L(K(x * y,x) * K(x,K(y,z)),y,z) = (z * (x \ T(x * y,x))) / (z * y). [para(3977(a,1),7727(a,1,1,2)),flip(a)]. given #6995 (H,wt=24): 7729 (x * (y \ T(y * z,y))) / (x * z) = L(K(y * z,T(y,x)),z,x). [para(6367(a,1),7728(a,1,1)),flip(a)]. given #6996 (H,wt=22): 7730 L(K(x * y,T(x,z)),y,z) = K((z * y) / (z * (x \ 1)),x). [hyper(189,a,4956,a(flip),b,7729,a(flip))]. given #6997 (H,wt=20): 7731 L(K(x * y,T(x,z)),y,z) = K((z * y) / (x \ z),x). [hyper(189,a,6939,a(flip),b,7730,a)]. given #6998 (H,wt=20): 7732 L(K(x * y,T(x,z)),y,z) = K((z / (z * y)) \ x,x). [hyper(189,a,7037,a(flip),b,7731,a)]. given #6999 (H,wt=20): 7733 L(K(x * y,T(y,z)),x,z) = K((z / (z * x)) \ y,y). [para(4921(a,2),7732(a,1,1))]. given #7000 (H,wt=34): 6364 R((K(x,K(y,(y * x) * z)) * u) / (K(x,y) \ u),y * x,z) = ((y * x) * z) \ ((x * y) * z). [para(5962(a,2),4457(a,1,1))]. given #7001 (H,wt=34): 6641 (x / (y * K(z,y))) * R(y * K(z,y),z,L(y,u,w)) = x * (K(y,z) * K(z * L(y,u,w),y)). [hyper(189,a,5864,a,b,6629,a(flip)),flip(a)]. given #7002 (H,wt=34): 7062 K(a(x,y,z),T(x,x * (y * z))) != u | K(x \ R(x,y,z),R(x,x \ R(x,y,z),y * z)) = u. [para(7047(a,1),6752(a,1))]. given #7003 (H,wt=25): 7734 K(x \ R(x,y,z),R(x,x \ R(x,y,z),y * z)) = K(a(x,y,z),x). [hyper(7062,a,7666,a)]. given #7004 (H,wt=8): 7735 K(a(x,y,z),x) = 1. [hyper(4922,a,7734,a),flip(a)]. given #7005 (H,wt=11): 7736 T(a(x,y,z),x) = a(x,y,z). [hyper(40,a,7735,a)]. given #7006 (H,wt=8): 7737 T(x,a(x,y,z)) = x. [hyper(38,a,7736,a)]. given #7007 (H,wt=19): 7738 L(x,y,z) * a(x,u,w) = a(x,u,w) * L(x,y,z). [para(7737(a,1),159(a,1,2,1)),flip(a)]. given #7008 (H,wt=34): 7690 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(4558(a,1),7689(a,1,2))]. given #7009 (H,wt=34): 7740 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(4692,a,7690,a)]. given #7010 (H,wt=34): 7741 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). [para(5380(a,1),7740(a,1,1))]. given #7011 (H,wt=35): 6462 K(T((x \ 1) \ 1,T(y,x)),z \ ((T(x,y) \ 1) * y)) = K((x \ 1) \ 1,((x \ 1) * T(y,x)) / z). [para(5148(a,2),6082(a,1,2,2))]. given #7012 (H,wt=33): 7742 K(T(T(x,y),x \ 1),z \ ((T(x,y) \ 1) * y)) = K((x \ 1) \ 1,((x \ 1) * T(y,x)) / z). [para(3536(a,1),6462(a,1,1))]. given #7013 (H,wt=29): 7743 K(T(x,y),z \ ((T(x,y) \ 1) * y)) = K((x \ 1) \ 1,((x \ 1) * T(y,x)) / z). [hyper(6318,a,7742,a)]. given #7014 (H,wt=25): 7744 K(T(x,y),z \ ((T(x,y) \ 1) * y)) = K(x,((x \ 1) * T(y,x)) / z). [hyper(189,a,2648,a(flip),b,7743,a)]. given #7015 (H,wt=26): 7745 K(T(x,y),z \ ((T(x,y) \ 1) * y)) != u | K(x,((x \ 1) * y) / z) = u. [para(7744(a,2),6886(a,1))]. given #7016 (H,wt=35): 6657 ((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(2539(a,1),6654(a,1,1))]. given #7017 (H,wt=35): 6693 (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(6502(a,1),4544(a,1,1,2))]. given #7018 (H,wt=33): 7747 (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(4376(a,1),6693(a,1,1))]. given #7019 (H,wt=21): 7748 a(x,K(x,y) * z,R(x,u,w)) = a(T(x,y),z,R(x,u,w)). [hyper(553,a,7747,a),flip(a)]. given #7020 (H,wt=23): 7750 a(T(x,y),T(x,y) \ z,R(x,u,w)) = a(x,x \ z,R(x,u,w)). [para(4541(a,1),7748(a,1,2)),flip(a)]. given #7021 (H,wt=24): 7749 a(x,K(x,y) * z,R(x,u,w)) != v5 | a(T(x,y),z,R(x,u,w)) = v5. [para(7747(a,1),553(a,1))]. given #7022 (H,wt=35): 7414 L(K(x,x \ y),z / K(x,x \ y),u) \ (u * z) = T(u * (z * K(x \ y,x)),K(y,L(x,z,u))). [hyper(189,a,7321,a(flip),b,7290,a)]. given #7023 (H,wt=32): 7751 L(K(x,x \ y),z / K(x,x \ y),y) \ (y * z) = T(y * (z * K(x \ y,x)),K(y,x)). [para(6765(a,1),7414(a,2,2))]. given #7024 (H,wt=28): 7752 L(K(x,x \ y),z / K(x,x \ y),y) \ (y * z) = y * (K(x \ y,x) * z). [hyper(189,a,7196,a(flip),b,7751,a)]. given #7025 (H,wt=28): 7753 L(K(x,x \ y),z * K(x \ y,x),y) \ (y * z) = y * (K(x \ y,x) * z). [para(3890(a,1),7752(a,1,1,2))]. given #7026 (H,wt=22): 7754 L(K(x,x \ y),z,y) \ (y * z) = y * (K(x \ y,x) * z). [para(6611(a,1),7753(a,1,1))]. given #7027 (H,wt=25): 7755 x * (K(y \ x,y) * z) != u | L(K(y \ x,y),z,x) * (x * z) = u. [para(7754(a,1),5918(a,1))]. given #7028 (H,wt=35): 7746 ((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(3889(a,1),6657(a,1,1,1))]. given #7029 (H,wt=31): 7757 ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = ((K(y,x) * z) * K(x,y)) * K(u,x). [para(2003(a,1),7746(a,1,1,2)),flip(a)]. given #7030 (H,wt=27): 7758 ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = T(z,K(x,y)) * K(u,x). [para(3956(a,1),7757(a,2,1))]. given #7031 (H,wt=27): 7759 ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = T(z * K(u,x),K(x,y)). [hyper(189,a,6576,a,b,7758,a)]. given #7032 (H,wt=23): 7760 (K(x,y) \ z) * (K(x,y) * K(u,x)) = T(z * K(u,x),K(x,y)). [para(2005(a,1),7759(a,1,1,1))]. given #7033 (H,wt=23): 7761 (K(x,y) * z) * (K(y,x) * K(u,y)) = T(z * K(u,y),K(y,x)). [para(3889(a,1),7760(a,1,1))]. given #7034 (H,wt=23): 7762 (K(x,y) * z) * (K(y,x) * K(u,y)) = T(z * K(u,y),K(x,y)). [hyper(189,a,6118,a,b,7761,a)]. given #7035 (H,wt=23): 7763 (K(x,y) * z) * (K(u,y) * K(y,x)) = T(z * K(u,y),K(x,y)). [para(1959(a,1),7762(a,1,2))]. given #7036 (H,wt=26): 7764 (K(x,y) * z) * (K(y,x) * K(u,y)) != w | T(z * K(u,y),K(y,x)) = w. [para(7762(a,2),6121(a,1))]. given #7037 (H,wt=37): 7057 K(R(((T(x,y) * y) / x) \ (T(x,y) * y),z,u),T(x,y) * y) = K(R(x * K(y,x),z,u),T(x,y) * y). [para(4955(a,1),7056(a,1,1,1)),flip(a)]. given #7038 (H,wt=35): 7766 K(R(((T(x,y) * y) / x) \ (T(x,y) * y),z,u),T(x,y) * y) = K(R(x,z,u),T(T(x,y) * y,y)). [hyper(189,a,6077,a(flip),b,7057,a)]. given #7039 (H,wt=33): 7767 K(R(((T(x,y) * y) / x) \ (T(x,y) * y),z,u),T(x,y) * y) = K(R(x,z,u),T(x * y,y)). [hyper(189,a,5647,a(flip),b,7766,a)]. given #7040 (H,wt=21): 7768 K(R(x,y,z),T(x * u,u)) = K(R(x,y,z),T(x,u) * u). [para(69(a,1),7767(a,1,1,1)),flip(a)]. given #7041 (H,wt=19): 7769 K(R(x,y,z),T(x * u,u)) = K(R(x,y,z),x * u). [hyper(189,a,5056,a(flip),b,7768,a)]. given #7042 (H,wt=22): 7770 K(R(x,y,z),x * L(u,x,u)) = K(R(x,y,z),T(x,u) * u). [para(7565(a,1),7769(a,1,2)),flip(a)]. given #7043 (H,wt=20): 7771 K(R(x,y,z),x * L(u,x,u)) = K(R(x,y,z),x * u). [hyper(189,a,5056,a(flip),b,7770,a)]. given #7044 (H,wt=37): 7389 K(x,(1 / (y \ T(L(L(x,z,u),w,v5),v6))) \ K(v6,L(L(x,z,u),w,v5))) = K(x,L(L(x,z,u),w,v5) / y). [para(7386(a,2),5411(a,2,2)),flip(a)]. given #7045 (H,wt=37): 7696 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(189,a,7142,a(flip),b,7652,a(flip)),flip(a)]. given #7046 (H,wt=37): 7705 (((x * y) \ x) \ 1) / ((1 / (y * L(y \ 1,y,z))) \ (L(y \ 1,y,x) \ 1)) = 1 / (y * ((z * y) \ z)). [para(5551(a,1),7402(a,1,1))]. given #7047 (H,wt=37): 7765 T(x * K(y,z),K(u,z)) / (K(u,z) * x) = (K(y,z) * K(z,u)) * K(K(u,z) * x,K(y,z) * K(z,u)). [hyper(76,a,7763,a(flip),b,4405,a)]. given #7048 (H,wt=37): 7772 K(x,(1 / (y \ T(L(L(x,z,u),w,v5),v6))) \ K(v6,L(L(x,z,u),w,v5))) = K(x,y \ L(L(x,z,u),w,v5)). [hyper(189,a,5411,a(flip),b,7389,a)]. given #7049 (H,wt=37): 7773 T(x * K(y,z),K(z,u)) / (K(u,z) * x) = (K(y,z) * K(z,u)) * K(K(u,z) * x,K(y,z) * K(z,u)). [para(6118(a,1),7765(a,1,1))]. given #7050 (H,wt=37): 7774 K(x,(1 / (y \ L(T(L(x,z,u),w),v5,v6))) \ K(w,L(L(x,z,u),v5,v6))) = K(x,y \ L(L(x,z,u),v5,v6)). [para(43(a,2),7772(a,1,2,1,2,2))]. given #7051 (H,wt=37): 7775 K(x,(1 / (y \ L(L(T(x,z),u,w),v5,v6))) \ K(z,L(L(x,u,w),v5,v6))) = K(x,y \ L(L(x,u,w),v5,v6)). [para(43(a,2),7774(a,1,2,1,2,2,1))]. given #7052 (H,wt=29): 7776 K(x,(1 / (y \ L(L(T(x,z),u,w),v5,v6))) \ 1) = K(x,y \ L(L(x,u,w),v5,v6)). [hyper(189,a,7571,a(flip),b,7775,a(flip)),flip(a)]. given #7053 (H,wt=25): 7778 K(x,y \ L(L(T(x,z),u,w),v5,v6)) = K(x,y \ L(L(x,u,w),v5,v6)). [para(69(a,1),7776(a,1,2))]. given #7054 (H,wt=38): 6563 T((K(x,y) * K(z,x)) \ (K(x,y) * (u * K(z,x))),K(x,y)) = R(T(u,K(x,y) * K(z,x)),K(x,y),K(z,x)). [para(6509(a,1),832(a,1,1,2))]. given #7055 (H,wt=33): 7780 R(T(x,K(y,z) * K(u,y)),K(y,z),K(u,y)) = T(L(T(x,K(u,y)),K(u,y),K(y,z)),K(y,z)). [para(154(a,1),6563(a,1,1)),flip(a)]. given #7056 (H,wt=33): 7781 R(T(x,K(y,z) * K(u,y)),K(y,z),K(u,y)) = T(L(T(x,K(y,u)),K(u,y),K(y,z)),K(y,z)). [para(6118(a,1),7780(a,2,1,1))]. given #7057 (H,wt=33): 7782 R(T(x,K(y,z) * K(u,y)),K(y,z),K(u,y)) = L(T(T(x,K(y,u)),K(y,z)),K(u,y),K(y,z)). [hyper(189,a,43,a,b,7781,a)]. given #7058 (H,wt=26): 7783 L(T(T(x,K(y,z)),K(y,u)),K(z,y),K(y,u)) = T(x,K(y,u) * K(z,y)). [hyper(189,a,6656,a(flip),b,7782,a(flip))]. given #7059 (H,wt=38): 7384 (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(7381(a,1),1724(a,1,1)),flip(a)]. given #7060 (H,wt=37): 7785 (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(7381(a,1),7384(a,2,2,1,1))]. given #7061 (H,wt=34): 7786 (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(189,a,2222,a(flip),b,7785,a)]. given #7062 (H,wt=28): 7787 (T(x,y) * R(T(x,y) \ (x * y),z,u)) / (x * y) = R(R(y,z,u) / y,y,x). [para(915(a,1),7786(a,2,1))]. given #7063 (H,wt=24): 7788 (T(x,y) * R(T(y,x),z,u)) / (x * y) = R(R(y,z,u) / y,y,x). [para(3528(a,1),7787(a,1,1,2,1))]. given #7064 (H,wt=22): 7789 (R(x,y,z) * T(u,x)) / (u * x) = R(R(x,y,z) / x,x,u). [para(3535(a,1),7788(a,1,1))]. given #7065 (H,wt=20): 7790 R(R(x,y,x) / x,x,z) = (z * R(x,y,x)) / (z * x). [para(6706(a,1),7789(a,1,1)),flip(a)]. given #7066 (H,wt=20): 7791 R(x \ R(x,y,x),x,z) = (z * R(x,y,x)) / (z * x). [para(3252(a,1),7790(a,1,1))]. given #7067 (H,wt=39): 6786 ((x * (y * z)) * (u * (L(L(z \ 1,z,y),y * z,x) / u))) \ (x * y) = K((x * (y * z)) \ (u \ (x * y)),u). [para(309(a,2),6785(a,1,1,2,2,1))]. given #7068 (H,wt=39): 7166 ((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(7164(a,1),5813(a,2,2,2,1,1))]. given #7069 (H,wt=39): 7635 K((x \ y) \ T(y,x),z \ L((x \ y) \ T(y,x),u,w)) = K((x \ y) \ T(y,x),z \ L(T(x,x \ y),u,w)). [para(1046(a,1),7634(a,1,2,2,1)),flip(a)]. given #7070 (H,wt=33): 7793 K((x \ y) \ T(y,x),z \ L((x \ y) \ T(y,x),u,w)) = K(x,z \ L(T(x,x \ y),u,w)). [hyper(189,a,6469,a(flip),b,7635,a)]. given #7071 (H,wt=29): 7795 K((x \ y) \ T(y,x),z \ L((x \ y) \ T(y,x),u,w)) = K(x,z \ L(x,u,w)). [hyper(189,a,7634,a(flip),b,7793,a)]. given #7072 (H,wt=39): 7704 K((T(x,y) \ z) \ (T(x,y) \ R(x,u,w)),R(x,u,w)) = K(z \ R(x,u,w),R((T(x,y) \ 1) \ K(y,x),u,w)). [para(4350(a,2),6900(a,1,2,1,2)),flip(a)]. given #7073 (H,wt=35): 7797 K((T(x,y) \ z) \ (T(x,y) \ R(x,u,w)),R(x,u,w)) = K(z \ R(x,u,w),R(T(x,x \ 1),u,w)). [para(4363(a,1),7704(a,2,2,1))]. given #7074 (H,wt=34): 7799 K((T(x,y) \ z) \ (T(x,y) \ R(x,u,w)),R(x,u,w)) != v5 | K(z \ R(x,u,w),R(x,u,w)) = v5. [para(7797(a,2),5330(a,1))]. given #7075 (H,wt=39): 7739 ((x * L(y,z,u)) * a(y,w,v5)) \ ((x * (a(y,w,v5) * L(y,z,u))) * a(y,w,v5)) = L(a(y,w,v5),L(y,z,u),x). [para(7738(a,1),1266(a,2,2,1,2)),flip(a)]. given #7076 (H,wt=39): 7792 ((x * (y * z)) * L(u * (L(z \ 1,z,y) / u),y * z,x)) \ (x * y) = K((x * (y * z)) \ (u \ (x * y)),u). [para(5117(a,2),6786(a,1,1,2))]. given #7077 (H,wt=39): 7800 ((x * (y * z)) * L(L(u * ((z \ 1) / u),z,y),y * z,x)) \ (x * y) = K((x * (y * z)) \ (u \ (x * y)),u). [para(5117(a,2),7792(a,1,1,2,1))]. given #7078 (H,wt=34): 7801 (x * ((y * z) * L(u * ((z \ 1) / u),z,y))) \ (x * y) = K((x * (y * z)) \ (u \ (x * y)),u). [para(102(a,1),7800(a,1,1))]. given #7079 (H,wt=31): 7802 (x * (y * (z * (u * ((z \ 1) / u))))) \ (x * y) = K((x * (y * z)) \ (u \ (x * y)),u). [para(102(a,1),7801(a,1,1,2))]. given #7080 (H,wt=29): 7803 (x * (y * K(z,u \ (z \ 1)))) \ (x * y) = K((x * (y * u)) \ (z \ (x * y)),z). [para(6782(a,1),7802(a,1,1,2,2))]. given #7081 (H,wt=24): 7804 K((x * (y * z)) \ (u \ (x * y)),u) = L(K(z \ (u \ 1),u),y,x). [hyper(5929,a,7803,a),flip(a)]. given #7082 (H,wt=24): 7805 K((x * (y * z)) \ (u \ (x * y)),u) = K(L(z * u,y,x) \ 1,u). [hyper(189,a,5586,a(flip),b,7804,a)]. given #7083 (H,wt=21): 7806 K(L(x * y,z,u) \ 1,y) = K(L(x,z,u) \ (y \ 1),y). [hyper(189,a,6860,a(flip),b,7805,a(flip))]. given #7084 (H,wt=40): 6898 T(x * K(T(y,z),R(u,z,R(T(u,z),w,v5))),K(T(y,z),v6)) \ T(x,K(T(y,z),v6)) = K(u,T(y,R(u,w,v5) * z)). [hyper(189,a,6846,a,b,6879,a(flip)),flip(a)]. given #7085 (H,wt=32): 7807 K(x,T(y,R(x,z,u) * w)) = T(v5 * K(T(y,w),x),K(T(y,w),v6)) \ T(v5,K(T(y,w),v6)). [para(7533(a,1),6898(a,1,1,1,2)),flip(a)]. given #7086 (H,wt=16): 7808 K(x,T(y,R(x,z,u) * w)) = K(x,T(y,w)). [hyper(189,a,6846,a(flip),b,7807,a)]. given #7087 (H,wt=20): 7810 K(x,T(y,R(x,z,u) * w)) = K(x,y) * K(x,K(y,w)). [hyper(189,a,6012,a,b,7808,a)]. given #7088 (H,wt=16): 7811 K(x,K(y,R(x,z,u) * w)) = K(x,K(y,w)). [hyper(6020,a,7810,a)]. given #7089 (H,wt=16): 7812 K(x,K(y,R(x,z,u) \ w)) = K(x,K(y,w)). [para(17(a,1),7811(a,1,2,2)),flip(a)]. given #7090 (H,wt=16): 7814 K(x,K(y,z \ R(x,u,w))) = K(x,K(y,z)). [hyper(7261,a,7812,a)]. given #7091 (H,wt=16): 7815 K(x,K(y,R(x,z,u) / w)) = K(x,K(y,w)). [para(69(a,1),7814(a,1,2,2)),flip(a)]. given #7092 (H,wt=16): 7816 K(x,K(y,z * R(x,u,w))) = K(x,K(y,z)). [hyper(7260,a,7815,a),flip(a)]. given #7093 (H,wt=17): 7813 K(x,K(y,(x * z) * u)) = K(x,K(y,z * u)). [para(110(a,1),7811(a,1,2,2))]. given #7094 (H,wt=17): 7818 K(x,K(y,(y * z) * u)) = K(y,K(x,z * u)). [hyper(5967,a,7813,a)]. given #7095 (H,wt=15): 7819 K(x,K(y,(y * x) * z)) = K(x,K(y,z)). [hyper(189,a,5994,a(flip),b,7818,a)]. given #7096 (H,wt=27): 7817 K(x * R(y,z,u),y) * K(y,K(w,x)) = T(K(x * R(y,z,u),T(y,x)),w). [para(7816(a,1),7267(a,1,2))]. given #7097 (H,wt=27): 7821 K(x * R(y,z,u),y) * K(x,K(y,w)) = T(K(x * R(y,z,u),T(y,x)),w). [para(5969(a,1),7817(a,1,2))]. given #7098 (H,wt=25): 7823 K(x * R(y,z,u),y) * K(x,K(y,w)) = T(K(x * R(y,z,u),y),w). [para(7243(a,1),7821(a,2,1))]. given #7099 (H,wt=30): 7820 R((K(x,K(y,z)) * u) / (K(x,y) \ u),y * x,z) = ((y * x) * z) \ ((x * y) * z). [para(7819(a,1),6364(a,1,1,1,1))]. given #7100 (H,wt=22): 7824 ((x * y) * z) \ ((y * x) * z) = R(T(K(y,x),z),x * y,z). [para(5962(a,1),7820(a,1,1)),flip(a)]. given #7101 (H,wt=24): 7825 R(T(K(x,y),z),y * x,z) = K((((y * x) * z) \ (y * z)) \ 1,y). [hyper(189,a,5812,a,b,7824,a(flip))]. given #7102 (H,wt=22): 7826 R(T(K(x,y),z),y * x,z) = K((y * z) \ ((y * x) * z),y). [hyper(189,a,5209,a(flip),b,7825,a)]. given #7103 (H,wt=19): 7827 R(T(K(x,y),z),y * x,z) = K(R(T(x,z),y,z),y). [hyper(189,a,7153,a(flip),b,7826,a)]. given #7104 (H,wt=20): 7828 ((x * y) * z) \ ((y * x) * z) = K(R(T(y,z),x,z),x). [hyper(189,a,7824,a,b,7827,a(flip)),flip(a)]. given #7105 (H,wt=20): 7829 ((x * y) * z) \ ((y * x) * z) = K(R(y,x,z),T(x,z)). [hyper(189,a,5393,a(flip),b,7828,a)]. given #7106 (H,wt=40): 7680 L(x \ L(y,z,u),x,K(L(y,z,u),y \ w)) * (K(L(y,z,u),w / y) * x) = T((x \ L(y,z,u)) * x,w / y). [para(5416(a,1),7678(a,1,1,3))]. given #7107 (H,wt=40): 7830 L(x \ L(y,z,u),x,K(L(y,z,u),y \ w)) * (K(L(y,z,u),y \ w) * x) = T((x \ L(y,z,u)) * x,w / y). [para(5416(a,1),7680(a,1,2,1))]. given #7108 (H,wt=25): 7831 T((x \ L(y,z,u)) * x,w / y) = T((x \ L(y,z,u)) * x,y \ w). [hyper(7679,a,7830,a),flip(a)]. given #7109 (H,wt=27): 7832 T((x \ L(y,y \ z,y)) * x,y \ T(z,y)) != u | T((x \ y) * x,z) = u. [para(7831(a,1),5649(a,1))]. given #7110 (H,wt=24): 7833 L(T((x \ y) * x,y \ T(z,y)),y \ z,y) = T((x \ y) * x,z). [hyper(7832,a,5118,a(flip)),flip(a)]. given #7111 (H,wt=22): 7834 L(T((x \ y) * x,y \ z),y \ z,y) = T((x \ y) * x,z). [para(6420(a,1),7833(a,1,1))]. given #7112 (H,wt=21): 7835 x \ (y * (((z \ y) * z) * (y \ x))) = T((z \ y) * z,x). [hyper(556,a,7834,a)]. given #7113 (H,wt=21): 7836 x * T((y \ z) * y,x) = z * (((y \ z) * y) * (z \ x)). [para(7835(a,1),17(a,1,2))]. given #7114 (H,wt=19): 7837 x * (((y \ x) * y) * (x \ z)) = ((y \ x) * y) * z. [hyper(205,a,7836,a),flip(a)]. given #7115 (H,wt=22): 7838 ((x \ y) * x) * z != y * u | ((x \ y) * x) * (y \ z) = u. [para(7837(a,1),22(a,1))]. given #7116 (H,wt=41): 6679 (((x * (y * x)) / x) / y) * (z / (((x * (y * x)) / x) / y)) = z * K(((x * (y * x)) / x) / y,T(x,y * x) \ z). [para(1473(a,1),6385(a,1,2,2,1)),flip(a)]. given #7117 (H,wt=38): 7839 (((x * (y * x)) / x) / y) * (z / (((x * (y * x)) / x) / y)) = z * K(L(x,T(y,x),x),T(x,y * x) \ z). [para(3726(a,1),6679(a,2,2,1))]. given #7118 (H,wt=38): 7840 (((x * (y * x)) / x) / y) * (z / (((x * (y * x)) / x) / y)) = z * K(L(x,T(y,x),x),T(x,x * y) \ z). [para(3507(a,1),7839(a,2,2,2,1))]. given #7119 (H,wt=33): 7841 (((x * (y * x)) / x) / y) * (z / (((x * (y * x)) / x) / y)) = z * K(x,T(x,x * y) \ z). [para(6465(a,1),7840(a,2,2))]. given #7120 (H,wt=29): 7842 (((x * (y * x)) / x) / y) * (z / (((x * (y * x)) / x) / y)) = z * K(x,x \ z). [para(6186(a,1),7841(a,2,2))]. given #7121 (H,wt=27): 7844 (((x * (y * x)) / x) / y) * (z / (((x * (y * x)) / x) / y)) = x * (z / x). [hyper(189,a,3903,a(flip),b,7842,a)]. given #7122 (H,wt=24): 7846 L(x,T(y,x),x) * (z / (((x * (y * x)) / x) / y)) = x * (z / x). [para(3726(a,1),7844(a,1,1))]. given #7123 (H,wt=21): 7847 L(x,T(y,x),x) * (z / L(x,T(y,x),x)) = x * (z / x). [para(3726(a,1),7846(a,1,2,2))]. given #7124 (H,wt=19): 7848 L(x,y,x) * (z / L(x,T(y,x),x)) = x * (z / x). [para(3724(a,1),7847(a,1,1))]. given #7125 (H,wt=17): 7849 L(x,y,x) * (z / L(x,y,x)) = x * (z / x). [para(3724(a,1),7848(a,1,2,2))]. given #7126 (H,wt=17): 7850 L(x,y,x) * ((z * x) / L(x,y,x)) = x * z. [para(18(a,1),7849(a,2,2))]. given #7127 (H,wt=42): 7636 K((x \ y) \ T(y,x),z \ L(L(T(x,x \ y),y,x),u,w)) = K((x \ y) \ T(y,x),z \ L((x \ y) \ T(y,x),u,w)). [para(1047(a,1),7634(a,1,2,2,1))]. given #7128 (H,wt=36): 7851 K((x \ y) \ T(y,x),z \ L((x \ y) \ T(y,x),u,w)) = K(x,z \ L(L(T(x,x \ y),y,x),u,w)). [hyper(189,a,6469,a(flip),b,7636,a(flip))]. given #7129 (H,wt=32): 7853 K((x \ y) \ T(y,x),z \ L((x \ y) \ T(y,x),u,w)) = K(x,z \ L(L(x,y,x),u,w)). [hyper(189,a,7778,a(flip),b,7851,a)]. given #7130 (H,wt=20): 7855 K(x,y \ L(L(x,z,x),u,w)) = K(x,y \ L(x,u,w)). [hyper(189,a,7795,a(flip),b,7853,a(flip))]. given #7131 (H,wt=29): 7857 K(x,(y \ 1) \ L(x,z,u)) * (y \ (T(y,x) * L(x,z,u))) = L(L(x,y,x),z,u). [para(7855(a,1),7695(a,1,1))]. given #7132 (H,wt=27): 7858 K(x,y * L(x,z,u)) * (y \ (T(y,x) * L(x,z,u))) = L(L(x,y,x),z,u). [para(7642(a,1),7857(a,1,1))]. given #7133 (H,wt=25): 7860 K(x,y * L(x,z,u)) * (K(y,x) * L(x,z,u)) = L(L(x,y,x),z,u). [para(4540(a,1),7858(a,1,2))]. given #7134 (H,wt=43): 5853 (L(x,y,z) * ((1 / x) * (L(x,y,z) \ x))) \ ((1 / ((L(x,y,z) \ x) * L(x,y,z))) * (L(x,y,z) \ x)) = L(x,y,z) \ 1. [para(5097(a,1),5851(a,1,1,2,1,2))]. given #7135 (H,wt=33): 7861 K(x,x \ 1) \ ((1 / ((L(x,y,z) \ x) * L(x,y,z))) * (L(x,y,z) \ x)) = L(x,y,z) \ 1. [para(4101(a,1),5853(a,1,1))]. given #7136 (H,wt=23): 7863 K(x,x \ 1) \ ((1 / x) * (L(x,y,z) \ x)) = L(x,y,z) \ 1. [para(5097(a,1),7861(a,1,2,1,2))]. given #7137 (H,wt=17): 7864 (x \ 1) * (L(x,y,z) \ x) = L(x,y,z) \ 1. [hyper(2429,a,7863,a)]. given #7138 (H,wt=17): 7865 (x \ 1) \ (L(x,y,z) \ 1) = L(x,y,z) \ x. [hyper(75,a,7863,a(flip),b,2428,a(flip))]. given #7139 (H,wt=21): 7866 (x \ L(x,y,z)) \ (x \ 1) = (x \ 1) * (L(x,y,z) \ x). [hyper(189,a,5005,a,b,7864,a),flip(a)]. given #7140 (H,wt=15): 7868 (x \ L(x,y,z)) \ 1 = L(x,y,z) \ x. [hyper(1934,a,7866,a)]. given #7141 (H,wt=18): 7869 (x \ L(x,y,z)) * (L(x,y,z) \ x) != u | 1 = u. [para(7868(a,1),203(a,1,2)),flip(b)]. given #7142 (H,wt=27): 7867 (x \ (L(x \ 1,y,z) \ 1)) * K(x \ 1,x) = L(x \ 1,y,z) \ (x \ 1). [hyper(2542,a,7865,a)]. given #7143 (H,wt=38): 7870 (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(7867(a,1),3249(a,2,1)),flip(a)]. given #7144 (H,wt=36): 7871 (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(7341(a,1),7870(a,1,2))]. given #7145 (H,wt=32): 7872 (L(x \ 1,y,z) \ (x \ 1)) \ (L(1 / x,y,z) \ 1) = T(x,x \ (L(x \ 1,y,z) \ 1)). [para(5084(a,1),7871(a,1,2))]. given #7146 (H,wt=14): 7873 T(x,x \ (L(x \ 1,y,z) \ 1)) = x. [hyper(189,a,5844,a(flip),b,7872,a(flip))]. given #7147 (H,wt=13): 7875 T(x,x \ (((y * x) \ y) \ 1)) = x. [para(140(a,1),7873(a,1,2,2,1))]. given #7148 (H,wt=19): 7876 (1 / ((x * y) \ x)) / y = y \ (1 / ((x * y) \ x)). [para(7875(a,1),3459(a,1,2))]. given #7149 (H,wt=27): 7877 T((1 / ((x * y) \ x)) * K(y,z),y) = (y \ (1 / ((x * y) \ x))) * T(y,z). [para(7876(a,1),6354(a,2,1))]. given #7150 (H,wt=43): 7311 R(x * (y * R(x,z,u)),K(y * R(x,z,u),x),K(x,y)) \ (((y * R(x,z,u)) * x) * K(x,y)) = x \ R(x,y,R(x,z,u)). [hyper(189,a,399,a,b,7291,a(flip)),flip(a)]. given #7151 (H,wt=31): 7878 (x * (y * R(x,z,u))) \ (((y * R(x,z,u)) * x) * K(x,y)) = x \ R(x,y,R(x,z,u)). [para(6628(a,1),7311(a,1,1))]. given #7152 (H,wt=29): 7879 (x * (y * R(x,z,u))) \ ((y * R(x,z,u)) * T(x,y)) = x \ R(x,y,R(x,z,u)). [para(5139(a,1),7878(a,1,2))]. given #7153 (H,wt=27): 7881 (x * (y * R(x,z,u))) \ ((x * y) * R(x,z,u)) = x \ R(x,y,R(x,z,u)). [para(1666(a,1),7879(a,1,2))]. given #7154 (H,wt=17): 7882 x \ R(x,y,R(x,z,u)) = a(x,y,R(x,z,u)). [hyper(553,a,7881,a),flip(a)]. given #7155 (H,wt=17): 7885 x * a(x,y,R(x,z,u)) = R(x,y,R(x,z,u)). [para(7882(a,1),17(a,1,2))]. given #7156 (H,wt=19): 7886 R(x,y,R(x,z,u)) \ x = a(x,y,R(x,z,u)) \ 1. [para(7882(a,1),5757(a,1,1)),flip(a)]. given #7157 (H,wt=20): 7883 x \ R(x,y,R(x,z,u)) != w | a(x,y,R(x,z,u)) = w. [para(7881(a,1),553(a,1))]. given #7158 (H,wt=20): 7884 K(x * R(y,z,u),y) * K(y,x) = a(y,x,R(y,z,u)). [hyper(189,a,7291,a,b,7882,a(flip)),flip(a)]. given #7159 (H,wt=23): 7887 x \ R(T(x,y),z,R(x,u,w)) = K(x,y) * a(x,z,R(x,u,w)). [para(7882(a,1),6738(a,1,2)),flip(a)]. given #7160 (H,wt=21): 7892 T(x,y) \ R(T(x,y),z,R(x,u,w)) = a(x,z,R(x,u,w)). [hyper(4607,a,7887,a)]. given #7161 (H,wt=21): 7895 T(x,y) * a(x,z,R(x,u,w)) = R(T(x,y),z,R(x,u,w)). [para(7892(a,1),17(a,1,2))]. given #7162 (H,wt=25): 7894 ((x \ y) \ y) \ R((x \ y) \ y,z,R(x,u,w)) = a(x,z,R(x,u,w)). [hyper(4892,a,7892,a)]. given #7163 (H,wt=26): 7890 x \ R(x,y,R(T(x,z),u,w)) != v5 | a(T(x,z),y,R(T(x,z),u,w)) = v5. [para(7536(a,1),7883(a,1))]. given #7164 (H,wt=27): 7893 K(x,y) * (K(y,x) * a(y,z,R(y,u,w))) = y \ R(y,z,R(T(y,x),u,w)). [para(7887(a,1),7537(a,1,2))]. given #7165 (H,wt=19): 7897 x \ R(x,y,R(T(x,z),u,w)) = a(x,y,R(x,u,w)). [hyper(3914,a,7893,a)]. given #7166 (H,wt=17): 7900 L(x,y,R(x,z,u)) \ x = a(x,y,R(x,z,u)). [hyper(189,a,7688,a(flip),b,7897,a(flip)),flip(a)]. given #7167 (H,wt=17): 7902 a(x,y,R(x,z,u)) \ x = L(x,y,R(x,z,u)). [para(7900(a,1),5098(a,1,1))]. given #7168 (H,wt=19): 7898 a(T(x,y),z,R(T(x,y),u,w)) = a(x,z,R(x,u,w)). [hyper(7890,a,7897,a)]. given #7169 (H,wt=28): 7891 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(7884(a,1),6365(a,1,1)),flip(a)]. given #7170 (H,wt=24): 7903 a(x,y,R(x,z,u)) * T(K(y,x),w) = T(K(y * R(x,z,u),x),w). [hyper(189,a,7823,a(flip),b,7891,a(flip))]. given #7171 (H,wt=24): 7904 T(K(x * R(y,z,u),y),w) * T(K(y,x),w) = a(y,x,R(y,z,u)). [hyper(6635,a,7903,a)]. given #7172 (H,wt=29): 7888 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(7139(a,2),7882(a,1,2))]. given #7173 (H,wt=25): 7905 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(7883,a,7888,a)]. given #7174 (H,wt=21): 7906 a(T(x,y),T(y,x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(189,a,5822,a(flip),b,7905,a(flip))]. given #7175 (H,wt=17): 7907 a(x,y,R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(4010,a,7906,a)]. given #7176 (H,wt=29): 7889 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(4009(a,1),7886(a,2,1))]. given #7177 (H,wt=27): 7908 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(7139(a,1),7889(a,1,1))]. given #7178 (H,wt=25): 7909 R(T(x,y),y,R(T(x,y),z,u)) \ T(x,y) = a(R(x,z,u),y,x) \ 1. [para(7907(a,1),7908(a,2,1))]. given #7179 (H,wt=23): 7910 a(T(x,y),y,R(T(x,y),z,u)) \ 1 = a(R(x,z,u),y,x) \ 1. [hyper(189,a,7886,a(flip),b,7909,a(flip)),flip(a)]. given #7180 (H,wt=19): 7911 a(R(x,y,z),u,x) \ 1 = a(x,u,R(x,y,z)) \ 1. [para(7898(a,1),7910(a,1,1)),flip(a)]. given #7181 (H,wt=29): 7896 a(x,K(x,y) * z,R(x,u,w)) = x \ (v5 \ ((R(x,z,R(x,u,w)) * (x \ v5)) * x)). [hyper(189,a,7166,a(flip),b,7894,a(flip))]. given #7182 (H,wt=27): 7913 a(T(x,y),z,R(x,u,w)) = x \ (v5 \ ((R(x,z,R(x,u,w)) * (x \ v5)) * x)). [hyper(7749,a,7896,a)]. given #7183 (H,wt=27): 7916 a(T(x,y),z,R(x,u,w)) = x \ (v5 \ ((x * (x \ v5)) * R(x,z,R(x,u,w)))). [para(7181(a,1),7913(a,2,2,2))]. given #7184 (H,wt=23): 7917 a(T(x,y),z,R(x,u,w)) = x \ (v5 \ (v5 * R(x,z,R(x,u,w)))). [para(17(a,1),7916(a,2,2,2,1))]. given #7185 (H,wt=19): 7918 a(T(x,y),z,R(x,u,w)) = x \ R(x,z,R(x,u,w)). [para(16(a,1),7917(a,2,2))]. given #7186 (H,wt=17): 7920 a(T(x,y),z,R(x,u,w)) = a(x,z,R(x,u,w)). [hyper(189,a,7882,a(flip),b,7918,a)]. given #7187 (H,wt=17): 7921 a(x,T(y,x),R(x,z,u)) = a(x,y,R(x,z,u)). [hyper(4010,a,7920,a),flip(a)]. given #7188 (H,wt=21): 7922 a(x,T(x,y) \ z,R(x,u,w)) = a(x,x \ z,R(x,u,w)). [hyper(189,a,7750,a(flip),b,7920,a(flip))]. given #7189 (H,wt=44): 5936 ((((x * (K(y,z) * u)) / (x * u)) \ 1) \ 1) \ (x * (K(y,z) * u)) = (x * (K(y,z) * u)) * ((L(K(z,T(y,u)),u,x) \ 1) \ 1). [para(5924(a,1),2577(a,2,2,1,1))]. given #7190 (H,wt=44): 6149 R(x * y,K(x,z),K(y * K(x,z),x)) \ ((y * K(x,z)) * R(x,y,K(x,z))) = K(x,z) * K(y * K(x,z),R(x,y,K(x,z))). [para(6140(a,1),1782(a,1,1,3,2))]. given #7191 (H,wt=33): 7925 (x * y) \ ((y * K(x,z)) * R(x,y,K(x,z))) = K(x,z) * K(y * K(x,z),R(x,y,K(x,z))). [para(6656(a,1),6149(a,1,1))]. given #7192 (H,wt=28): 7926 K(x,y) * K(z * K(x,y),R(x,z,K(x,y))) = (x * z) \ ((z * K(x,y)) * x). [para(6140(a,1),7925(a,1,2,2)),flip(a)]. given #7193 (H,wt=26): 7928 K(x,y) * K(z * K(x,y),R(x,z,K(x,y))) = (x * z) \ (z * T(x,y)). [para(5132(a,1),7926(a,2,2))]. given #7194 (H,wt=21): 7929 (x * y) \ (y * T(x,z)) = K(x,z) * K(y * K(x,z),x). [para(6140(a,1),7928(a,1,2,2)),flip(a)]. given #7195 (H,wt=17): 7930 (x * y) \ (y * T(x,z)) = K(x,z) * K(y,x). [para(6197(a,1),7929(a,2,2))]. given #7196 (H,wt=20): 7933 (x * y) \ (y * T(x,z)) != u | K(y,x) * K(x,z) = u. [para(7930(a,2),1962(a,1))]. given #7197 (H,wt=16): 7935 K(x,y) * K(y,y \ x) = a(y,x / y,y). [hyper(7933,a,3566,a)]. given #7198 (H,wt=16): 7937 x \ T(y * (x / y),y) = a(y,x / y,y). [hyper(189,a,6355,a,b,7935,a(flip)),flip(a)]. given #7199 (H,wt=18): 7938 a(x,(y * x) / x,x) = (y * x) \ T(x * y,x). [para(18(a,1),7937(a,1,2,1,2)),flip(a)]. given #7200 (H,wt=18): 7939 a(x,(y * x) / x,x) = K(x,y) * K(x * y,x). [hyper(189,a,7184,a(flip),b,7938,a)]. given #7201 (H,wt=14): 7940 K(x,y) * K(x * y,x) = a(x,y,x). [para(18(a,1),7939(a,1,2)),flip(a)]. given #7202 (H,wt=11): 7941 x \ R(x,y,x) = a(x,y,x). [hyper(189,a,4686,a(flip),b,7940,a(flip)),flip(a)]. given #7203 (H,wt=11): 7948 x * a(x,y,x) = R(x,y,x). [para(7941(a,1),17(a,1,2))]. given #7204 (H,wt=11): 7950 a(x,y,x) * x = R(x,y,x). [para(7941(a,1),3253(a,1,1))]. given #7205 (H,wt=14): 7943 K(x,x * y) * a(x,y,x) = K(x,y). [para(7940(a,1),3906(a,1,2))]. given #7206 (H,wt=14): 7944 T(x * y,x) / x = y * a(x,y,x). [para(7940(a,1),5314(a,1,2)),flip(a)]. given #7207 (H,wt=14): 7949 x * a(x,y,x) != z | R(x,y,x) = z. [para(7941(a,1),203(a,1,2)),flip(b)]. given #7208 (H,wt=14): 7952 x \ R(x,y,x) != z | a(x,y,x) = z. [para(7948(a,1),237(a,1,2)),flip(b)]. given #7209 (H,wt=15): 7945 (x / y) * a(y,z,y) = x / L(y,z,y). [para(7940(a,1),6735(a,1,2))]. given #7210 (H,wt=15): 7947 a(x,y * K(x,z),x) = x \ R(x,y,x). [hyper(189,a,6745,a(flip),b,7941,a(flip))]. given #7211 (H,wt=13): 7960 a(x,y,T(x,z)) = x \ R(x,y,x). [hyper(6889,a,7947,a)]. given #7212 (H,wt=14): 7961 a(x,y,T(x,z)) != u | a(x,y,x) = u. [para(7960(a,2),7952(a,1))]. given #7213 (H,wt=15): 7959 (x * y) / L(y,z,y) = x * a(y,z,y). [para(18(a,1),7945(a,1,1)),flip(a)]. given #7214 (H,wt=15): 7962 (x / L(y,z,y)) * y = x * a(y,z,y). [hyper(1265,a,7959,a)]. given #7215 (H,wt=15): 7963 L(x,y,x) * (z * a(x,y,x)) = x * z. [para(7959(a,1),7850(a,1,2))]. given #7216 (H,wt=15): 7964 x * (L(x,y,x) \ z) = z * a(x,y,x). [hyper(189,a,7569,a(flip),b,7962,a(flip)),flip(a)]. given #7217 (H,wt=13): 7965 L(x,y,x) \ 1 = x \ a(x,y,x). [hyper(75,a,14,a(flip),b,7964,a),flip(a)]. given #7218 (H,wt=17): 7942 K(x,y) * a(y,x,y) != z | K(y * x,y) = z. [para(7940(a,1),3914(a,1,2)),flip(b)]. given #7219 (H,wt=17): 7954 K(x * y,x) * K(x,y) != z | a(x,y,x) = z. [para(7943(a,1),3914(a,1,2)),flip(b)]. given #7220 (H,wt=18): 7946 K(x * y,x) * (K(x,y) * z) = z * a(x,y,x). [para(7940(a,1),6864(a,2,2))]. given #7221 (H,wt=18): 7951 (x * R(y,z,y)) / (x * y) = R(a(y,z,y),y,x). [para(7941(a,1),7791(a,1,1)),flip(a)]. given #7222 (H,wt=18): 7969 K(x,x * y) * (z * a(x,y,x)) = K(x,y) * z. [hyper(3907,a,7946,a)]. given #7223 (H,wt=19): 7966 T(x,y) * (L(T(x,y),z,x) \ u) = u * a(x,z,x). [hyper(189,a,7672,a,b,7964,a(flip)),flip(a)]. given #7224 (H,wt=21): 7968 K(R(L(x,y,x),x \ a(x,y,x),z),u) = K(L(x,y,x),u). [para(7965(a,1),5752(a,1,1,2))]. given #7225 (H,wt=18): 7973 K(R(x,x \ a(x,y,x),z),u) = K(L(x,y,x),u). [hyper(189,a,7578,a(flip),b,7968,a(flip)),flip(a)]. given #7226 (H,wt=15): 7974 K(R(x,x \ a(x,y,x),z),u) = K(x,u). [hyper(189,a,6465,a(flip),b,7973,a)]. given #7227 (H,wt=13): 7977 R(K(x,y),a(x,z,x),u) = K(x,y). [hyper(189,a,5749,a(flip),b,7974,a(flip)),flip(a)]. given #7228 (H,wt=21): 7970 K(x,x * y) * z != K(x,y) * u | u * a(x,y,x) = z. [para(7969(a,1),22(a,1)),flip(a)]. given #7229 (H,wt=21): 7972 K(x,y) * (z * a(y,u,y)) = y * (L(T(y,x),u,y) \ z). [para(7966(a,1),4383(a,1,2))]. given #7230 (H,wt=21): 7978 (K(x,y) * a(x,z,x)) * u = K(x,y) * (a(x,z,x) * u). [para(7977(a,1),110(a,1,1)),flip(a)]. given #7231 (H,wt=18): 7979 K(x,x * y) * (a(x,y,x) * z) = K(x,y) * z. [para(7943(a,1),7978(a,1,1)),flip(a)]. given #7232 (H,wt=13): 7980 a(x,y,x) * z = z * a(x,y,x). [hyper(7970,a,7979,a),flip(a)]. given #7233 (H,wt=8): 7982 T(x,a(y,z,y)) = x. [hyper(149,a,7980,a)]. given #7234 (H,wt=8): 7990 K(x,a(y,z,y)) = 1. [hyper(39,a,7982,a)]. given #7235 (H,wt=11): 7983 T(a(x,y,x),z) = a(x,y,x). [hyper(147,a,7980,a,b,xx)]. given #7236 (H,wt=13): 7981 (a(x,y,x) \ z) * a(x,y,x) = z. [hyper(203,a,7980,a)]. given #7237 (H,wt=13): 7992 x * K(y,a(z,u,z)) != w | x = w. [para(7990(a,2),86(a,1,2))]. given #7238 (H,wt=11): 7997 K(x,a(y,z,y)) != u | 1 = u. [para(14(a,1),7992(a,1))]. given #7239 (H,wt=14): 7984 a(x,y,x) * K(y,x) = K(x * y,x). [hyper(7942,a,7980,a(flip)),flip(a)]. given #7240 (H,wt=15): 7995 (a(x,y,x) \ 1) \ z = z * a(x,y,x). [hyper(75,a,7981,a(flip),b,486,a)]. given #7241 (H,wt=15): 7996 x * (a(x,y,x) \ z) = L(x,y,x) * z. [para(7981(a,1),7963(a,1,2)),flip(a)]. given #7242 (H,wt=13): 7999 a(x,y,x) \ 1 = x \ L(x,y,x). [hyper(75,a,15,a(flip),b,7996,a),flip(a)]. given #7243 (H,wt=15): 8000 (x \ L(x,y,x)) \ z = z * a(x,y,x). [para(7999(a,1),7995(a,1,1))]. given #7244 (H,wt=16): 7985 a(x,y,x) * z != z * u | a(x,y,x) = u. [para(7980(a,2),22(a,1))]. given #7245 (H,wt=16): 7991 a(x,y,x) * z != u | z * a(x,y,x) = u. [para(7982(a,1),205(a,1,2))]. given #7246 (H,wt=16): 7993 x * a(y,z,y) != u | a(y,z,y) * x = u. [para(7983(a,1),205(a,1,2))]. given #7247 (H,wt=18): 7986 x * a(y,z,y) != x * u | T(a(y,z,y),x) = u. [para(7980(a,1),148(a,2)),flip(a)]. given #7248 (H,wt=18): 8001 (a(x,y,x) \ 1) \ z != u | a(x,y,x) * z = u. [para(7995(a,2),7993(a,1))]. given #7249 (H,wt=19): 7994 R(a(x,y,x),z,u) * w = w * R(a(x,y,x),z,u). [para(7983(a,1),160(a,1,2,1)),flip(a)]. given #7250 (H,wt=11): 8002 T(x,R(a(y,z,y),u,w)) = x. [hyper(149,a,7994,a)]. given #7251 (H,wt=20): 7987 (a(x,y,x) \ z) * a(x,y,x) != u * w | u \ z = w. [para(7980(a,1),301(a,1))]. given #7252 (H,wt=22): 7971 T(x,y) * (L(T(x,y),z,x) \ u) != u * w | a(x,z,x) = w. [para(7966(a,2),22(a,1))]. given #7253 (H,wt=23): 7967 T(x,y) * (L(T(x,y),z,x) \ u) = u * a(T(x,y),z,T(x,y)). [para(6528(a,1),7964(a,1,2,1))]. given #7254 (H,wt=13): 8003 a(T(x,y),z,T(x,y)) = a(x,z,x). [hyper(7971,a,7967,a),flip(a)]. given #7255 (H,wt=24): 7953 (x * a(y,z,y)) / R(y,z,y) != u | R(x / y,y,a(y,z,y)) = u. [para(7948(a,1),451(a,1,2))]. given #7256 (H,wt=25): 7936 x \ R(x,y,R(x,z,u)) != w | K(y * R(x,z,u),x) * K(x,y) = w. [para(7879(a,1),7933(a,1))]. given #7257 (H,wt=27): 7955 (x * y) \ (y * (T(z * T(x,y),z) / z)) = L(a(z,T(x,y),z),T(x,y),y). [para(7944(a,2),153(a,1,2,2))]. given #7258 (H,wt=27): 8005 (x * y) \ (y * T(T(z * x,z) / z,y)) = L(a(z,T(x,y),z),T(x,y),y). [para(1218(a,1),7955(a,1,2,2))]. given #7259 (H,wt=25): 8006 L(a(x,T(y,z),x),T(y,z),z) = (y * z) \ ((T(x * y,x) / x) * z). [para(113(a,1),8005(a,1,2)),flip(a)]. given #7260 (H,wt=28): 7932 K(T(x,y),y) * K(L(x,z,u) * y,T(x,y)) = a(T(x,y),y,L(T(x,y),z,u)). [hyper(189,a,2083,a(flip),b,7930,a(flip))]. given #7261 (H,wt=26): 8007 K(x,y) * K(L(x,z,u) * y,T(x,y)) = a(T(x,y),y,L(T(x,y),z,u)). [para(3876(a,1),7932(a,1,1))]. given #7262 (H,wt=24): 8008 a(T(x,y),y,L(T(x,y),z,u)) = K(x,y) * K(L(x,z,u) * y,x). [para(7034(a,1),8007(a,1,2)),flip(a)]. given #7263 (H,wt=21): 8009 a(T(x,y),y,L(T(x,y),z,u)) = L(x,y,L(x,z,u)) \ x. [hyper(189,a,7041,a(flip),b,8008,a)]. given #7264 (H,wt=29): 7931 (x * (y * L(x,z,u))) \ ((y * L(x,z,u)) * T(x,y)) = x \ R(x,y,L(x,z,u)). [hyper(189,a,7043,a(flip),b,7930,a)]. given #7265 (H,wt=27): 8010 (x * (y * L(x,z,u))) \ ((x * y) * L(x,z,u)) = x \ R(x,y,L(x,z,u)). [para(1270(a,1),7931(a,1,2))]. given #7266 (H,wt=17): 8011 x \ R(x,y,L(x,z,u)) = a(x,y,L(x,z,u)). [hyper(553,a,8010,a),flip(a)]. given #7267 (H,wt=20): 8012 K(x,y) * K(y * L(x,z,u),x) = a(x,y,L(x,z,u)). [hyper(7044,a,8011,a)]. given #7268 (H,wt=22): 8015 K(x,y) * K(y,x * L(y,z,u)) = a(y,x,L(y,z,u)) \ 1. [para(8012(a,1),7060(a,1,1)),flip(a)]. given #7269 (H,wt=23): 8013 K(x,y) * R(x,z,L(x,u,w)) = T(x,y) * a(x,z,L(x,u,w)). [para(8011(a,1),4377(a,1,2)),flip(a)]. given #7270 (H,wt=21): 8017 T(x,y) * a(x,z,L(x,u,w)) = R(T(x,y),z,L(x,u,w)). [hyper(6731,a,8013,a),flip(a)]. given #7271 (H,wt=24): 8018 T(x,y) \ R(T(x,y),z,L(x,u,w)) != v5 | a(x,z,L(x,u,w)) = v5. [para(8017(a,1),237(a,1,2)),flip(b)]. given #7272 (H,wt=25): 8014 T(x,y) \ R(T(x,y),z,L(x,u,w)) = a(T(x,y),z,L(T(x,y),u,w)). [para(7662(a,1),8011(a,1,2))]. given #7273 (H,wt=22): 8019 a(T(x,y),z,L(T(x,y),u,w)) != v5 | a(x,z,L(x,u,w)) = v5. [para(8014(a,1),8018(a,1))]. given #7274 (H,wt=17): 8020 L(x,y,L(x,z,u)) \ x = a(x,y,L(x,z,u)). [hyper(8019,a,8009,a),flip(a)]. given #7275 (H,wt=17): 8021 a(x,y,L(x,z,u)) \ x = L(x,y,L(x,z,u)). [para(8020(a,1),5098(a,1,1))]. given #7276 (H,wt=29): 8016 (x / (y * K(z,y))) * R(y * K(z,y),z,L(y,u,w)) = x * a(y,z,L(y,u,w)). [para(8012(a,1),6641(a,2,2))]. given #7277 (H,wt=29): 8022 ((x / y) * K(y,z)) * R(y * K(z,y),z,L(y,u,w)) = x * a(y,z,L(y,u,w)). [para(5207(a,1),8016(a,1,1))]. given #7278 (H,wt=28): 8023 ((x / y) * K(y,z)) * (y * K(z * L(y,u,w),y)) = x * a(y,z,L(y,u,w)). [para(5045(a,1),8022(a,1,2))]. given #7279 (H,wt=26): 8024 (x / y) * (T(y,z) * K(z * L(y,u,w),y)) = x * a(y,z,L(y,u,w)). [hyper(189,a,6740,a(flip),b,8023,a(flip)),flip(a)]. given #7280 (H,wt=21): 8025 (x / y) * R(y,z,L(y,u,w)) = x * a(y,z,L(y,u,w)). [para(7039(a,1),8024(a,1,2))]. given #7281 (H,wt=32): 7998 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(5412(a,1),7984(a,1,2))]. given #7282 (H,wt=24): 8026 K(T(x,y * z) * z,T(x,y * z)) = a(x,z,x) * K(z,T(x,y)). [para(8003(a,1),7998(a,1,1)),flip(a)]. given #7283 (H,wt=18): 8027 a(x,y,x) * K(y,T(x,z)) = K(x * y,T(x,z)). [hyper(189,a,7584,a(flip),b,8026,a(flip))]. given #7284 (H,wt=18): 8029 K(x * y,T(x,z)) * K(x,T(y,z)) = a(x,y,x). [hyper(5404,a,8027,a)]. given #7285 (H,wt=33): 7957 (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) != w | L(L(a(u,z,u),z,y),y * z,x) = w. [para(7944(a,2),646(a,1,2,2,2))]. given #7286 (H,wt=35): 7958 R(T(a(x,y,x),y * z),T(y,a(x,y,x)),z) = (T(y,a(x,y,x)) * z) \ ((T(x * y,x) / x) * z). [para(7944(a,2),6190(a,1,2,1)),flip(a)]. given #7287 (H,wt=30): 8031 R(T(a(x,y,x),y * z),T(y,a(x,y,x)),z) = (y * z) \ ((T(x * y,x) / x) * z). [para(7982(a,1),7958(a,2,1,1))]. given #7288 (H,wt=26): 8032 R(a(x,y,x),T(y,a(x,y,x)),z) = (y * z) \ ((T(x * y,x) / x) * z). [para(7983(a,1),8031(a,1,1))]. given #7289 (H,wt=21): 8033 (x * y) \ ((T(z * x,z) / z) * y) = R(a(z,x,z),x,y). [para(7982(a,1),8032(a,1,2)),flip(a)]. given #7290 (H,wt=19): 8035 L(a(x,T(y,z),x),T(y,z),z) = R(a(x,y,x),y,z). [hyper(189,a,8006,a,b,8033,a(flip)),flip(a)]. given #7291 (H,wt=29): 8036 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(4374(a,1),8035(a,1,1,2)),flip(a)]. given #7292 (H,wt=23): 8037 R(a(x,y * K(z,y),x),y * K(z,y),z) = L(a(x,y,x),y,z). [para(4374(a,1),8036(a,2,2))]. given #7293 (H,wt=35): 7988 (x * (y * a(z,u,z))) \ (x * (a(z,u,z) * (y * w))) = L(L(w,y,a(z,u,z)),a(z,u,z) * y,x). [para(7980(a,1),348(a,1,1,2))]. given #7294 (H,wt=36): 7956 (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(7944(a,2),347(a,1,2,2))]. given #7295 (H,wt=36): 8038 (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(1357(a,2),7956(a,1,2,2))]. given #7296 (H,wt=33): 8039 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(102(a,1),8038(a,1,2)),flip(a)]. given #7297 (H,wt=41): 7989 (x * (y * a(z,u,z))) \ ((x * a(z,u,z)) * (L(y,a(z,u,z),x) * w)) = L(w,L(y,a(z,u,z),x),x * a(z,u,z)). [para(7980(a,1),347(a,1,1,2))]. given #7298 (H,wt=44): 6869 K(L(R(x,y,z),L(u,x,u),x),x * L(u,x,u)) * ((x * (L(u,x,u) * R(x,y,z))) / (x * L(u,x,u))) = L(R(x,y,z),u,x). [hyper(189,a,4470,a,b,6868,a(flip)),flip(a)]. given #7299 (H,wt=38): 8040 K(R(x,y,z),x * L(u,x,u)) * ((x * (L(u,x,u) * R(x,y,z))) / (x * L(u,x,u))) = L(R(x,y,z),u,x). [para(7572(a,1),6869(a,1,1))]. given #7300 (H,wt=35): 8042 K(R(x,y,z),x * u) * ((x * (L(u,x,u) * R(x,y,z))) / (x * L(u,x,u))) = L(R(x,y,z),u,x). [para(7771(a,1),8040(a,1,1))]. given #7301 (H,wt=35): 8043 K(R(x,y,z),x * u) * R((x * (L(u,x,u) * x)) / (x * L(u,x,u)),y,z) = L(R(x,y,z),u,x). [para(1690(a,2),8042(a,1,2))]. given #7302 (H,wt=28): 8044 K(R(x,y,z),x * u) * R(x * K(L(u,x,u),x),y,z) = L(R(x,y,z),u,x). [para(4473(a,1),8043(a,1,2,1))]. given #7303 (H,wt=25): 8045 K(R(x,y,z),x * u) * R(x * K(u,x),y,z) = L(R(x,y,z),u,x). [para(5409(a,1),8044(a,1,2,1,2))]. given #7304 (H,wt=44): 7924 ((K((x * y) / (x * (z \ y)),u) \ 1) \ 1) \ (x * (K(z,u) * y)) = (x * (K(z,u) * y)) * ((L(K(u,T(z,y)),y,x) \ 1) \ 1). [para(4957(a,2),5936(a,1,1,1,1))]. given #7305 (H,wt=42): 8048 (K(x,(y * z) / (y * (u \ z))) \ 1) \ (y * (K(u,x) * z)) = (y * (K(u,x) * z)) * ((L(K(x,T(u,z)),z,y) \ 1) \ 1). [para(3871(a,1),7924(a,1,1,1))]. given #7306 (H,wt=40): 8049 K(x,(y * z) / (y * (u \ z))) * (y * (K(u,x) * z)) = (y * (K(u,x) * z)) * ((L(K(x,T(u,z)),z,y) \ 1) \ 1). [hyper(3860,a,8048,a)]. given #7307 (H,wt=36): 8050 K(x,(y * z) / (y * (u \ z))) * (y * (K(u,x) * z)) = (y * (K(u,x) * z)) * L(K(x,T(u,z)),z,y). [para(2194(a,1),8049(a,2,2))]. given #7308 (H,wt=23): 8051 K(x,(y * z) / (y * (u \ z))) * (y * (K(u,x) * z)) = y * z. [hyper(189,a,5931,a(flip),b,8050,a)]. given #7309 (H,wt=19): 8057 K(x,y \ (z * (K(u,x) * w))) = K(x,y \ (z * w)). [para(8051(a,1),7615(a,1,2,2)),flip(a)]. given #7310 (H,wt=19): 8058 K(x,y \ (z * ((x \ u) * x))) = K(x,y \ (z * u)). [para(4291(a,1),8057(a,1,2,2,2))]. given #7311 (H,wt=17): 8060 K(x,y \ ((x \ 1) * z)) = K(x,y \ (x \ z)). [hyper(189,a,7620,a(flip),b,8058,a(flip))]. given #7312 (H,wt=21): 8054 K(x,y) * (R(y,z,u) * (K(y,x) * w)) = R(y,z,u) * w. [para(923(a,1),8051(a,1,1,2))]. given #7313 (H,wt=21): 8056 R(K(x,y),z * (K(u,x) * w),v5) = R(K(x,y),z * w,v5). [para(8051(a,1),5767(a,1,2)),flip(a)]. given #7314 (H,wt=21): 8061 K(x \ 1,y \ ((x \ 1) \ z)) = K(x \ 1,y \ (x * z)). [hyper(189,a,7451,a(flip),b,8060,a(flip))]. given #7315 (H,wt=21): 8062 K(1 / x,y \ ((1 / x) \ z)) = K(1 / x,y \ (x * z)). [para(69(a,1),8060(a,1,2,2,1)),flip(a)]. given #7316 (H,wt=19): 8068 K(1 / x,y \ (x * z)) = K(x \ 1,(z \ y) \ x). [hyper(6861,a,8062,a),flip(a)]. given #7317 (H,wt=21): 8064 R(x,y,z) * (K(x,u) * w) = K(x,u) * (R(x,y,z) * w). [hyper(3907,a,8054,a),flip(a)]. given #7318 (H,wt=19): 8070 K(x,y) * (R(x,z,x) * u) = R(T(x,y),z,x) * u. [hyper(189,a,6538,a(flip),b,8064,a(flip))]. given #7319 (H,wt=21): 8065 R(x,y,z) * (K(u,x) * w) = K(u,x) * (R(x,y,z) * w). [para(3887(a,1),8054(a,1,2,2)),flip(a)]. given #7320 (H,wt=21): 8066 R(K(x,y),z * (u * K(w,x)),v5) = R(K(x,y),z * u,v5). [para(6051(a,1),8056(a,1,2,2))]. given #7321 (H,wt=19): 8072 R(K(x,y),z * y,u) = K(x,R(y * K(w,x),z,u)). [hyper(6753,a,8066,a),flip(a)]. given #7322 (H,wt=17): 8073 K(x,R(y * K(z,x),u,w)) = K(x,R(y,u,w)). [hyper(6750,a,8072,a),flip(a)]. given #7323 (H,wt=19): 8074 R(K(x,y),(y * K(z,x)) * u,w) = K(x,R(y,u,w)). [hyper(189,a,6184,a,b,8073,a(flip)),flip(a)]. given #7324 (H,wt=22): 8069 K(x \ 1,(y \ z) \ x) != u | K(x \ 1,z \ (x * y)) = u. [para(8068(a,1),4254(a,1))]. given #7325 (H,wt=22): 8076 K(x,R(R(y,K(z,x),u),K(z,x) * u,w)) = K(x,R(y,u,w)). [hyper(189,a,6603,a(flip),b,8074,a(flip)),flip(a)]. given #7326 (H,wt=17): 8078 K(x,R(y,K(z,x) * u,w)) = K(x,R(y,u,w)). [hyper(189,a,6602,a(flip),b,8076,a(flip)),flip(a)]. given #7327 (H,wt=21): 8080 K(R(x,K(y,z) * u,w),z) = (v5 * K(z,R(x,u,w))) \ v5. [para(8078(a,1),3918(a,1,1,2)),flip(a)]. given #7328 (H,wt=17): 8081 K(R(x,K(y,z) * u,w),z) = K(R(x,u,w),z). [hyper(189,a,3918,a(flip),b,8080,a)]. given #7329 (H,wt=15): 8082 K(R(x,T(y,z),u),y) = K(R(x,y,u),y). [para(4370(a,1),8081(a,1,1,2)),flip(a)]. given #7330 (H,wt=23): 8052 K(x,(y * z) / (y * (u \ z))) = (y * z) / (y * (K(u,x) * z)). [hyper(76,a,5931,a(flip),b,8050,a),flip(a)]. given #7331 (H,wt=23): 8059 K(x / y,z \ (u * (y * (x / y)))) = K(x / y,z \ (u * x)). [para(4324(a,1),8057(a,1,2,2,2))]. given #7332 (H,wt=24): 8063 K(T(x,y),z \ (T(x,y) \ y)) != u | K(x,((x \ 1) * y) / z) = u. [para(8060(a,1),7745(a,1))]. given #7333 (H,wt=19): 8084 K(T(x,y),z \ (x \ y)) = K(x,((x \ 1) * y) / z). [hyper(8063,a,7114,a),flip(a)]. given #7334 (H,wt=17): 8085 K(x,((x \ 1) * y) / z) = K(x,y / (z * x)). [hyper(189,a,6449,a(flip),b,8084,a(flip))]. given #7335 (H,wt=22): 8086 K(x,(y * z) / (((x \ 1) * z) * x)) = K(x,L(y,z,x \ 1)). [hyper(7155,a,8085,a),flip(a)]. given #7336 (H,wt=21): 8087 K(x,(y * z) / L(z,x \ 1,x)) = K(x,L(y,z,x \ 1)). [hyper(189,a,6760,a(flip),b,8086,a(flip)),flip(a)]. given #7337 (H,wt=16): 8088 K(x,(y * z) / L(z,x \ 1,x)) = K(x,y). [hyper(189,a,7002,a(flip),b,8087,a)]. given #7338 (H,wt=16): 8090 K(x,y / L(z,x \ 1,x)) = K(x,y / z). [para(19(a,1),8088(a,1,2,1))]. given #7339 (H,wt=17): 8091 K(x,y / (((x \ 1) * z) * x)) = K(x,y / z). [hyper(189,a,6760,a,b,8090,a(flip)),flip(a)]. given #7340 (H,wt=17): 8092 K(x,y / ((x \ 1) \ z)) = K(x,y / (z * x)). [para(17(a,1),8091(a,1,2,2,1)),flip(a)]. given #7341 (H,wt=25): 8071 R(x,y,x) * (K(z,x) * (x \ u)) = K(z,x) * ((u / x) * R(x,y,x)). [para(6710(a,1),8065(a,2,2))]. given #7342 (H,wt=23): 8094 K(x,y) * ((z / y) * R(y,u,y)) = R(y,u,y) * (T(y,x) \ z). [para(4558(a,1),8071(a,1,2)),flip(a)]. given #7343 (H,wt=25): 8083 K(R(x,T(y,z),u),T(y,w)) = T(y,w) \ T(y * K(R(x,y,u),y),w). [para(8082(a,1),4658(a,1,2,1,2)),flip(a)]. given #7344 (H,wt=22): 8095 K(R(x,T(y,z),u),T(y,w)) != v5 | K(R(x,y,u),T(y,w)) = v5. [para(8083(a,2),4791(a,1))]. given #7345 (H,wt=26): 8055 (x * (K(y,z) * u)) / (x * u) != w | K((x * u) / (x * (y \ u)),z) = w. [para(8051(a,1),3910(a,1,2))]. given #7346 (H,wt=26): 8093 R(K(x,(y / z) / (u * x)),y / z,z) = K(x,y / (((x \ 1) \ u) * z)). [para(8092(a,1),5678(a,1,1))]. given #7347 (H,wt=21): 8097 K(x,y / (((x \ 1) \ z) * u)) = K(x,y / ((z * x) * u)). [hyper(189,a,5678,a(flip),b,8093,a(flip))]. given #7348 (H,wt=21): 8098 K(x,y / ((z / (x \ 1)) * u)) = K(x,y / ((z * x) * u)). [hyper(189,a,6942,a,b,8097,a(flip)),flip(a)]. given #7349 (H,wt=25): 8099 K(x \ 1,y / ((z * (x \ 1)) * u)) = K(x \ 1,y / ((x \ z) * u)). [hyper(189,a,7454,a(flip),b,8097,a(flip))]. given #7350 (H,wt=25): 8100 K((x \ 1) \ 1,y / ((z / (x \ 1)) * u)) = K(x,y / ((z * x) * u)). [hyper(4282,a,8098,a)]. given #7351 (H,wt=25): 8101 K(x \ 1,y / ((z * (x \ 1)) * u)) = K(x \ 1,y / ((z / x) * u)). [hyper(189,a,7461,a(flip),b,8098,a(flip))]. given #7352 (H,wt=23): 8102 K(x \ 1,y / ((z / x) * u)) = K(x \ 1,y / ((x \ z) * u)). [hyper(189,a,8099,a(flip),b,8101,a(flip))]. given #7353 (H,wt=27): 8096 L(K(x,T(T(y,z),u * z)),z,u) != w | K((u * z) / (u * (x \ z)),y) = w. [para(6741(a,2),8055(a,1))]. given #7354 (H,wt=26): 8103 (x * y) / (x * (K(z,u) * y)) != w | K((x * y) / (x * (u \ y)),z) = w. [para(7054(a,1),8096(a,1))]. given #7355 (H,wt=23): 8104 K((x * y) / (x * (z \ y)),u) = K(z,(x * y) / (x * (u \ y))). [hyper(8103,a,8052,a(flip))]. given #7356 (H,wt=23): 8105 K(x,(y * z) / (y * (u \ z))) = (y * (K(x,u) * z)) / (y * z). [hyper(189,a,4957,a(flip),b,8104,a(flip))]. given #7357 (H,wt=22): 8107 K(x,(y * z) / (y * ((x \ y) \ z))) = L(K(x,x \ y),z,y). [hyper(189,a,7664,a(flip),b,8105,a)]. given #7358 (H,wt=29): 8067 K(L(x,y,z) \ 1,(u \ w) \ ((x \ 1) \ 1)) = L(K(x \ 1,w \ (x * u)),y,z). [para(8061(a,1),6858(a,2,1))]. given #7359 (H,wt=29): 8108 K(L(x,y,z) \ 1,(u \ w) \ ((x \ 1) \ 1)) = K(L(x,y,z) \ 1,w \ (x * u)). [hyper(189,a,4824,a(flip),b,8067,a)]. given #7360 (H,wt=25): 8109 K(L(x,y,z) \ 1,(u \ w) \ x) = K(L(x,y,z) \ 1,w \ (x * u)). [hyper(189,a,7439,a(flip),b,8108,a(flip)),flip(a)]. given #7361 (H,wt=30): 8106 R(K(x,x \ y),z,T(y,K(x,x \ y) * z)) = K(x,(y * z) / (y * ((x \ y) \ z))). [hyper(189,a,7692,a,b,8105,a),flip(a)]. given #7362 (H,wt=24): 8110 K(x,(y * z) / (y * ((x \ y) \ z))) = R(K(x,x \ y),z,T(y,z)). [para(7474(a,1),8106(a,1,3)),flip(a)]. given #7363 (H,wt=19): 8111 R(K(x,x \ y),z,T(y,z)) = L(K(x,x \ y),z,y). [hyper(189,a,8107,a(flip),b,8110,a(flip))]. given #7364 (H,wt=23): 8113 R(T(K(x,x \ y),z),u,T(y,u)) = T(L(K(x,x \ y),u,y),z). [para(8111(a,1),45(a,2,1))]. given #7365 (H,wt=23): 8114 R(K(x,y),z,T(y * x,z)) = L(K(x,x \ (y * x)),z,y * x). [para(3891(a,1),8111(a,1,1))]. given #7366 (H,wt=19): 8117 R(K(x,y),z,T(y * x,z)) = L(K(x,y),z,y * x). [para(3891(a,1),8114(a,2,1))]. given #7367 (H,wt=23): 8116 R(T(K(x,x \ y),z),u,T(y,u)) = L(T(K(x,x \ y),z),u,y). [hyper(189,a,43,a,b,8113,a)]. given #7368 (H,wt=23): 8119 R(T(K(x,x \ y),z),u,T(y,u)) = L(K(x,T(x \ y,z)),u,y). [para(5334(a,2),8116(a,2,1))]. given #7369 (H,wt=23): 8120 R(K(x,T(x \ y,z)),u,T(y,u)) = L(K(x,T(x \ y,z)),u,y). [para(5334(a,2),8119(a,1,1))]. given #7370 (H,wt=28): 8118 ((K(x,y) * z) * T(y * x,z)) / (z * T(y * x,z)) = L(K(x,y),z,y * x). [hyper(189,a,33,a(flip),b,8117,a(flip)),flip(a)]. given #7371 (H,wt=22): 8121 L(K(x,y),z,y * x) != u | R(K(x,y),z,T(y * x,z)) = u. [para(8118(a,1),385(a,1))]. given #7372 (H,wt=26): 8122 ((x * y) * (K(y,x) * z)) / (z * T(x * y,z)) = L(K(y,x),z,x * y). [para(7472(a,1),8118(a,1,1))]. given #7373 (H,wt=24): 8123 ((x * y) * (K(y,x) * z)) / ((x * y) * z) = L(K(y,x),z,x * y). [para(113(a,1),8122(a,1,2))]. given #7374 (H,wt=24): 8124 K(x,((y * x) * z) / ((y * x) * (y \ z))) = L(K(x,y),z,y * x). [hyper(189,a,8105,a,b,8123,a(flip)),flip(a)]. given #7375 (H,wt=42): 8115 L(K(x,x \ y),z,y) \ K(R(K(x,x \ y),z,T(y,z)),u) = R(K(x,x \ y) * K(u,K(x,x \ y)),z,T(y,z)) \ 1. [para(8111(a,1),4745(a,1,1))]. given #7376 (H,wt=40): 8125 R(K(x,x \ y) * K(z,K(x,x \ y)),u,T(y,u)) \ 1 = L(K(x,x \ y),u,y) \ K(L(K(x,x \ y),u,y),z). [para(8111(a,1),8115(a,1,2,1)),flip(a)]. given #7377 (H,wt=38): 8126 R(K(x,x \ y) * K(z,K(x,x \ y)),u,T(y,u)) \ 1 = L(K(x,x \ y),u,y) \ K(x,K(y,L(z,u,y))). [para(7288(a,1),8125(a,2,2))]. given #7378 (H,wt=35): 8127 R(K(x,x \ y) * K(z,K(x,x \ y)),u,T(y,u)) \ 1 = L(K(x,x \ y),u,y) \ K(x,K(y,z)). [para(6765(a,1),8126(a,2,2,2))]. given #7379 (H,wt=35): 8128 R(K(x,x \ y) * K(z,K(x,x \ y)),u,T(y,u)) \ 1 = L(K(x \ y,x),u,y) * K(x,K(y,z)). [hyper(189,a,5895,a(flip),b,8127,a)]. given #7380 (H,wt=29): 8130 R(K(x,T(x \ y,z)),u,T(y,u)) \ 1 = L(K(x \ y,x),u,y) * K(x,K(y,z)). [para(6021(a,1),8128(a,1,1,1))]. given #7381 (H,wt=27): 8131 L(K(x \ y,x),z,y) * K(x,K(y,u)) = L(K(x,T(x \ y,u)),z,y) \ 1. [para(8120(a,1),8130(a,1,1)),flip(a)]. given #7382 (H,wt=27): 8132 L(K(x \ y,x),z,y) * K(x,K(y,u)) = L(K(T(x \ y,u),x),z,y) * 1. [hyper(189,a,5895,a(flip),b,8131,a)]. given #7383 (H,wt=27): 8133 L(K(x \ y,x),z,y) * K(x,K(y,u)) = L(K(x \ y,T(x,u)),z,y) * 1. [para(5380(a,1),8132(a,2,1,1))]. given #7384 (H,wt=25): 8134 L(K(x \ y,x),z,y) * K(x,K(y,u)) = L(K(x \ y,T(x,u)),z,y). [hyper(189,a,15,a(flip),b,8133,a)]. given #7385 (H,wt=27): 8135 K(x,K(y,z)) * L(K(x \ y,T(x,z)),u,y) = L(K(x,x \ y),u,y) \ 1. [para(8134(a,1),7122(a,1,2))]. given #7386 (H,wt=28): 8136 K(x,K(y,z)) * L(K(x \ y,T(x,z)),u,y) != w | L(K(x \ y,x),u,y) = w. [para(8135(a,2),5906(a,1))]. given #7387 (H,wt=45): 5250 T(x,y) * K((x \ ((y \ 1) \ x)) * T(x,y),x \ ((y \ 1) \ x)) = (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,x \ ((y \ 1) \ x)). [para(3755(a,1),5198(a,1,2,1)),flip(a)]. given #7388 (H,wt=43): 8137 T(x,y) * K((x \ ((y \ 1) \ x)) * T(x,y),x \ ((y \ 1) \ x)) = (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,T(1 \ y,x)). [para(6840(a,1),5250(a,2,2))]. given #7389 (H,wt=41): 8138 T(x,y) * K((x \ ((y \ 1) \ x)) * T(x,y),x \ ((y \ 1) \ x)) = (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,T(y,x)). [para(58(a,1),8137(a,2,2,2,1))]. given #7390 (H,wt=39): 8139 T(x,y) * K((x \ ((y \ 1) \ x)) * T(x,y),x \ ((y \ 1) \ x)) = (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y). [para(3615(a,1),8138(a,2,2))]. given #7391 (H,wt=33): 8140 T(x,y) * K((y \ 1) \ x,x \ ((y \ 1) \ x)) = (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y). [para(3755(a,1),8139(a,1,2,1))]. given #7392 (H,wt=31): 8142 (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y) = T(x,y) * K((y \ 1) \ x,T(1 \ y,x)). [para(6878(a,1),8140(a,1,2)),flip(a)]. given #7393 (H,wt=29): 8143 (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y) = T(x,y) * K((y \ 1) \ x,T(y,x)). [para(58(a,1),8142(a,2,2,2,1))]. given #7394 (H,wt=27): 8144 (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y) = T(x,y) * K(x / (y \ 1),y). [para(6029(a,1),8143(a,2,2))]. given #7395 (H,wt=25): 8145 (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y) = T(x,y) * K(x * y,y). [para(4618(a,1),8144(a,2,2))]. given #7396 (H,wt=23): 8146 (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y) = y \ T(x * y,y). [hyper(189,a,7373,a(flip),b,8145,a)]. given #7397 (H,wt=45): 7170 (x \ 1) * ((K(y,z) \ u) * T((K(y,z) \ u) \ ((x \ 1) \ u),y)) = ((x \ 1) * (K(x,y) * ((x \ 1) \ K(y,z)))) * (K(y,z) \ u). [para(7168(a,2),1159(a,2,1,2))]. given #7398 (H,wt=45): 8147 (x \ 1) * ((K(y,z) * u) * T((K(z,y) \ u) \ ((x \ 1) \ u),z)) = ((x \ 1) * (K(x,z) * ((x \ 1) \ K(z,y)))) * (K(z,y) \ u). [para(3889(a,1),7170(a,1,2,1))]. given #7399 (H,wt=45): 8148 (x \ 1) * ((K(y,z) * u) * T((K(y,z) * u) \ ((x \ 1) \ u),z)) = ((x \ 1) * (K(x,z) * ((x \ 1) \ K(z,y)))) * (K(z,y) \ u). [para(3889(a,1),8147(a,1,2,2,1,1))]. given #7400 (H,wt=45): 8149 (x \ 1) * (K(y,z) * (u * T(u \ (K(y,z) \ ((x \ 1) \ u)),z))) = ((x \ 1) * (K(x,z) * ((x \ 1) \ K(z,y)))) * (K(z,y) \ u). [para(713(a,1),8148(a,1,2))]. given #7401 (H,wt=37): 8150 (x \ 1) * (y * T(y \ ((x \ 1) \ y),z)) = ((x \ 1) * (K(x,z) * ((x \ 1) \ K(z,u)))) * (K(z,u) \ y). [para(6837(a,1),8149(a,1,2))]. given #7402 (H,wt=31): 8151 ((x \ 1) * (K(x,y) * ((x \ 1) \ K(y,z)))) * (K(y,z) \ u) = K((x \ 1) \ 1,y) * u. [hyper(4947,a,8150,a),flip(a)]. given #7403 (H,wt=27): 8153 ((x \ 1) * (K(x,y) * ((x \ 1) \ K(y,z)))) * (K(y,z) \ u) = K(x,y) * u. [para(2648(a,1),8151(a,2,1))]. given #7404 (H,wt=19): 8154 (K(x,y) * K(y,z)) * (K(y,z) \ u) = K(x,y) * u. [para(4970(a,1),8153(a,1,1))]. given #7405 (H,wt=19): 8155 (K(x,y) * K(y,z)) * u = K(x,y) * (K(y,z) * u). [para(16(a,1),8154(a,1,2))]. given #7406 (H,wt=19): 8158 (K(x,y) * K(z,x)) * u = K(z,x) * (K(x,y) * u). [para(1959(a,2),8155(a,1,1))]. given #7407 (H,wt=19): 8159 (K(x,y) * K(z,x)) * u = K(x,y) * (K(z,x) * u). [hyper(189,a,5830,a,b,8158,a)]. given #7408 (H,wt=10): 8161 L(x,K(y,z),K(z,u)) = x. [hyper(346,a,8159,a)]. given #7409 (H,wt=12): 8167 L(x,K(y,T(z,u)),K(z,w)) = x. [para(5337(a,1),8161(a,1,2))]. given #7410 (H,wt=19): 8160 (K(x,y) * K(z,x)) * (K(y,x) * u) = K(z,x) * u. [para(3887(a,1),8158(a,2,2))]. given #7411 (H,wt=19): 8164 T(T(x,K(y,z)),K(y,u)) = T(x,K(y,u) * K(z,y)). [hyper(189,a,7783,a(flip),b,8161,a(flip))]. given #7412 (H,wt=19): 8169 (K(x,y) * K(z,x)) \ u = K(y,x) * (K(x,z) * u). [hyper(75,a,3887,a(flip),b,8160,a)]. given #7413 (H,wt=19): 8170 T(T(x,K(y,z)),K(y,u)) = T(x,K(y,z) * K(u,y)). [hyper(333,a,8164,a)]. given #7414 (H,wt=19): 8172 (K(x,y) * K(y,z)) \ u = K(z,y) * (K(y,x) * u). [para(1959(a,1),8169(a,1,1))]. given #7415 (H,wt=19): 8174 T(x,K(y,z) * K(u,y)) = T(x,K(y,u) * K(z,y)). [hyper(189,a,8164,a(flip),b,8170,a(flip))]. given #7416 (H,wt=19): 8175 (K(x,y) * K(y,z)) \ u = (K(y,x) * K(z,y)) * u. [hyper(189,a,8158,a,b,8172,a)]. given #7417 (H,wt=21): 8162 x \ (K(y,z) * (K(u,y) * x)) = T(K(y,z) * K(u,y),x). [hyper(147,a,8159,a,b,17,a),flip(a)]. given #7418 (H,wt=21): 8173 x * K(x,K(y,z) * K(u,y)) = T(T(x,K(y,z)),K(y,u)). [hyper(189,a,4396,a(flip),b,8170,a),flip(a)]. given #7419 (H,wt=21): 8176 T(x * K(K(y,z) * K(u,y),x),K(y,u) * K(z,y)) = x. [hyper(4482,a,8174,a)]. given #7420 (H,wt=21): 8177 x * K(x,K(y,z) * K(u,y)) = T(x,K(y,u) * K(z,y)). [hyper(4414,a,8174,a)]. given #7421 (H,wt=21): 8180 T(K(x,y),z) * T(K(y,u),z) = T(K(y,u) * K(x,y),z). [hyper(189,a,7120,a(flip),b,8162,a(flip)),flip(a)]. given #7422 (H,wt=22): 8183 T(T(x,K(y,z)),K(y,u)) != w | T(x,K(y,z) * K(u,y)) = w. [para(8173(a,1),4399(a,1))]. given #7423 (H,wt=22): 8184 T(K(x,y) * K(y * R(x,z,u),x),w) = a(x,y,R(x,z,u)). [hyper(189,a,7904,a(flip),b,8180,a(flip))]. given #7424 (H,wt=22): 8185 T(T(x,K(y,z)),K(y,u)) != w | T(x,K(y,u) * K(z,y)) = w. [para(41(a,1),8183(a,1))]. given #7425 (H,wt=23): 8168 (K(x,y) * K(z,T(x,u))) * w = K(x,y) * (K(z,T(x,u)) * w). [para(8167(a,1),102(a,1,2))]. given #7426 (H,wt=23): 8182 T(K(x,K(y,z)) * x,K(y,u)) = x * K(x,K(y,z) * K(u,y)). [para(4403(a,1),8173(a,2,1)),flip(a)]. given #7427 (H,wt=23): 8187 K(x,K(y,z)) * T(x,K(y,u)) = x * K(x,K(y,z) * K(u,y)). [hyper(189,a,6849,a(flip),b,8182,a(flip)),flip(a)]. given #7428 (H,wt=21): 8188 K(x,K(y,z)) * K(x,K(y,u)) = K(x,K(y,z) * K(u,y)). [hyper(4800,a,8187,a)]. given #7429 (H,wt=24): 8163 K(x,y) * (K(z,x) * u) != u * w | T(K(x,y) * K(z,x),u) = w. [para(8159(a,1),148(a,2)),flip(a)]. given #7430 (H,wt=24): 8179 T(x,K(y,z) * K(u,y)) != x * w | K(x,K(y,u) * K(z,y)) = w. [para(8174(a,1),4436(a,1))]. given #7431 (H,wt=25): 8181 T(K(x,y) * K(z,x),K(x,z) * u) = (K(x,z) * u) \ (K(x,y) * u). [para(3887(a,1),8162(a,1,2,2)),flip(a)]. given #7432 (H,wt=29): 8157 (K(x,y) * (K(y,z) * u)) / (K(x,y) * K(y,z)) = u * K(K(x,y) * K(y,z),u). [hyper(76,a,8155,a(flip),b,4405,a)]. given #7433 (H,wt=29): 8186 L(T(T(x,K(y,z)),K(y,u)),K(w,v5),K(v5,v6)) != v7 | T(x,K(y,u) * K(z,y)) = v7. [para(8161(a,2),8185(a,1))]. given #7434 (H,wt=29): 8189 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(189,a,6873,a,b,8188,a(flip)),flip(a)]. given #7435 (H,wt=29): 8191 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(6259(a,1),8188(a,1,1))]. given #7436 (H,wt=25): 8194 K(x * K(y,z),K(y,u) * K(w,y)) = K(x,K(y,u)) * K(x,K(y,w)). [para(6259(a,1),8191(a,1,2)),flip(a)]. given #7437 (H,wt=23): 8195 K(x * K(y,z),K(y,u) * K(w,y)) = K(x,K(y,u) * K(w,y)). [hyper(189,a,8188,a(flip),b,8194,a)]. given #7438 (H,wt=23): 8198 K(K(x,y) * z,K(y,u) * K(w,y)) = K(z,K(y,u) * K(w,y)). [para(5348(a,1),8195(a,1,1)),flip(a)]. given #7439 (H,wt=24): 8196 K(x,K(y,z)) * K(x,K(y,u)) != w | K(x,K(y,z) * K(u,y)) = w. [para(8194(a,1),6194(a,1))]. given #7440 (H,wt=29): 8192 (K(x,y) * (K(y,z) * u)) * (K(y,x) * K(z,y)) = u * K(K(x,y) * K(y,z),u). [hyper(6650,a,8157,a)]. given #7441 (H,wt=25): 8199 T((K(x,y) * z) * K(y,x),K(x,u)) = z * K(K(u,x) * K(x,y),z). [hyper(7764,a,8192,a)]. given #7442 (H,wt=21): 8200 x * K(K(y,z) * K(z,u),x) = T(T(x,K(z,u)),K(z,y)). [para(6115(a,1),8199(a,1,1)),flip(a)]. given #7443 (H,wt=21): 8201 x * K(K(y,z) * K(z,u),x) = T(x,K(z,u) * K(y,z)). [hyper(189,a,8170,a(flip),b,8200,a)]. given #7444 (H,wt=19): 8202 K(K(x,y) * K(y,z),u) = K(u,K(y,x) * K(z,y)). [hyper(20,a,8177,a,b,8201,a)]. given #7445 (H,wt=21): 8203 x * K(K(y,z) * K(u,y),x) = T(x,K(y,z) * K(u,y)). [para(1959(a,2),8201(a,1,2,1))]. given #7446 (H,wt=19): 8204 K(K(x,y) * K(z,x),u) = K(u,K(x,y) * K(z,x)). [hyper(20,a,4396,a(flip),b,8203,a)]. given #7447 (H,wt=19): 8205 T(T(x,K(y,z) * K(u,y)),K(y,u) * K(z,y)) = x. [para(8203(a,1),8176(a,1,1))]. given #7448 (H,wt=19): 8206 K(K(x,y) * K(z,x),u) = K(u,K(z,x) * K(x,y)). [para(1959(a,1),8204(a,2,2))]. given #7449 (H,wt=19): 8208 K(K(x,y) * K(y,z),u) = K(u,K(x,y) * K(y,z)). [para(1959(a,1),8206(a,1,1))]. given #7450 (H,wt=19): 8209 K(x,K(y,z) * K(u,y)) = K(x,K(z,y) * K(y,u)). [hyper(189,a,8202,a(flip),b,8208,a(flip)),flip(a)]. given #7451 (H,wt=23): 8210 K(K(x,y) * z,K(u,y) * K(y,w)) = K(z,K(y,u) * K(w,y)). [hyper(189,a,8198,a(flip),b,8209,a(flip))]. given #7452 (H,wt=27): 8207 (K(x,y) * K(z,x)) * K(u,K(x,y) * K(z,x)) = T(K(x,y) * K(z,x),u). [para(8204(a,1),4396(a,2,2)),flip(a)]. given #7453 (H,wt=21): 8212 (x * (K(y,z) * K(u,y))) / x = T(K(y,z) * K(u,y),x). [hyper(4384,a,8207,a)]. given #7454 (H,wt=29): 8193 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(5966(a,1),8189(a,1,2,2,2))]. given #7455 (H,wt=21): 8214 K(x,K(y,z)) * K(x,K(z,u)) = K(z,K(x,y) * K(u,x)). [hyper(3844,a,8193,a)]. given #7456 (H,wt=29): 8213 T(x * K(y,z),K(z,u)) / (K(u,z) * x) = T(K(z,u) * K(y,z),K(u,z) * x). [para(7761(a,1),8212(a,1,1))]. given #7457 (H,wt=33): 8211 T(x * K(y,z),K(z,u)) / (K(u,z) * x) = (K(y,z) * K(z,u)) * K(x,K(z,y) * K(u,z)). [para(8210(a,1),7773(a,2,2))]. given #7458 (H,wt=33): 8215 T(x * K(y,z),K(z,u)) / (K(u,z) * x) = K(y,z) * (K(z,u) * K(x,K(z,y) * K(u,z))). [hyper(189,a,8155,a(flip),b,8211,a)]. given #7459 (H,wt=47): 2601 (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(1420(a,2),2600(a,1,2))]. given #7460 (H,wt=29): 8217 (1 / (1 / (x * L(x \ 1,y,z)))) \ (x / x) = (x / (x * L(x \ 1,y,z))) / x. [para(19(a,1),2601(a,1,2,1))]. given #7461 (H,wt=27): 8218 (1 / (1 / (x * L(x \ 1,y,z)))) \ 1 = (x / (x * L(x \ 1,y,z))) / x. [para(64(a,1),8217(a,1,2))]. given #7462 (H,wt=23): 8220 (x / (x * L(x \ 1,y,z))) / x = 1 / (x * L(x \ 1,y,z)). [hyper(236,a,8218,a)]. given #7463 (H,wt=21): 8223 (L(1 / x,y,z) \ 1) / x = 1 / (x * L(x \ 1,y,z)). [para(2174(a,1),8220(a,1,1))]. given #7464 (H,wt=21): 8224 1 / (x * L(x \ 1,y,z)) = L(1 / x,y,z) \ (1 / x). [hyper(189,a,5008,a(flip),b,8223,a(flip))]. given #7465 (H,wt=21): 8225 1 / (x * L(x \ 1,y,z)) = L(x \ 1,y,z) \ (x \ 1). [hyper(189,a,5085,a(flip),b,8224,a)]. given #7466 (H,wt=21): 8226 1 / ((x \ 1) * L((x \ 1) \ 1,y,z)) = L(x,y,z) \ x. [hyper(189,a,5779,a(flip),b,8225,a)]. given #7467 (H,wt=15): 8228 1 / (x \ L(x,y,z)) = L(x,y,z) \ x. [para(854(a,1),8226(a,1,2))]. given #7468 (H,wt=15): 8229 (L(x,y,z) \ x) * (x \ L(x,y,z)) = 1. [para(8228(a,1),19(a,1,1))]. given #7469 (H,wt=24): 8230 (L(x,y,z) \ x) * T(x \ L(x,y,z),u) = K(x \ L(x,y,z),u). [para(8228(a,1),4390(a,2,1)),flip(a)]. given #7470 (H,wt=25): 8227 (1 / (x * L(x \ 1,y,z))) \ (L(x \ 1,y,z) \ 1) = (x \ 1) \ 1. [para(8225(a,2),5007(a,1,1))]. given #7471 (H,wt=23): 8232 (((x * y) \ x) \ 1) / ((y \ 1) \ 1) = 1 / (y * ((x * y) \ x)). [para(8227(a,1),7705(a,1,2))]. given #7472 (H,wt=19): 8233 (1 / ((x * y) \ x)) / y = 1 / (y * ((x * y) \ x)). [hyper(189,a,4929,a(flip),b,8232,a(flip)),flip(a)]. given #7473 (H,wt=19): 8234 (1 / ((x * y) \ x)) / y = (y * ((x * y) \ x)) \ 1. [hyper(189,a,5806,a(flip),b,8233,a)]. given #7474 (H,wt=19): 8235 (x * ((y * x) \ y)) \ 1 = x \ (1 / ((y * x) \ y)). [hyper(189,a,7876,a(flip),b,8234,a(flip))]. given #7475 (H,wt=19): 8236 ((x * ((y * x) \ y)) \ 1) \ (1 / ((y * x) \ y)) = x. [para(8234(a,1),69(a,1,1))]. given #7476 (H,wt=25): 8237 ((x * ((y * x) \ y)) \ 1) * T(x,z) = T(x,z) / (x * ((y * x) \ y)). [para(8236(a,1),4187(a,1,2,1))]. given #7477 (H,wt=25): 8238 ((x * ((y * x) \ y)) \ 1) * T(x,z) = (x * ((y * x) \ y)) \ T(x,z). [hyper(189,a,5806,a(flip),b,8237,a)]. given #7478 (H,wt=25): 8239 (x \ (1 / ((y * x) \ y))) * T(x,z) = (x * ((y * x) \ y)) \ T(x,z). [para(8235(a,1),8238(a,1,1))]. given #7479 (H,wt=25): 8240 T((1 / ((x * y) \ x)) * K(y,z),y) = (y * ((x * y) \ x)) \ T(y,z). [hyper(189,a,7877,a,b,8239,a(flip)),flip(a)]. given #7480 (H,wt=23): 8241 T(T(1 / ((x * y) \ x),z),y) = (y * ((x * y) \ x)) \ T(y,z). [para(5238(a,1),8240(a,1,1))]. given #7481 (H,wt=21): 8242 (x * ((y * x) \ y)) \ T(x,z) = T(1 / ((y * x) \ y),z). [hyper(189,a,5601,a(flip),b,8241,a(flip))]. given #7482 (H,wt=19): 8243 1 / ((x * T(y,z)) \ x) = T(1 / ((x * y) \ x),z). [hyper(189,a,7112,a(flip),b,8242,a(flip)),flip(a)]. given #7483 (H,wt=19): 8244 T(1 / ((x * y) \ x),z) \ 1 = (x * T(y,z)) \ x. [para(8243(a,1),69(a,1,1))]. given #7484 (H,wt=19): 8245 ((x * T(y,z)) \ x) \ 1 = T(((x * y) \ x) \ 1,z). [para(8244(a,1),2096(a,1,1))]. given #7485 (H,wt=17): 8246 T(((x * y) \ x) \ 1,x) = ((y * x) \ x) \ 1. [para(113(a,1),8245(a,1,1,1)),flip(a)]. given #7486 (H,wt=18): 8247 L(x \ 1,x,y) \ K(x,y) = ((x * y) \ y) \ 1. [hyper(189,a,902,a(flip),b,8246,a(flip)),flip(a)]. given #7487 (H,wt=42): 8248 L((K(x,y) * K(z,x)) \ 1,K(x,y) * K(z,x),u) \ K(K(x,y) * K(z,x),u) = (((K(y,x) * K(x,z)) \ u) \ u) \ 1. [para(8175(a,2),8247(a,2,1,1))]. given #7488 (H,wt=31): 8249 (((K(x,y) * K(y,z)) \ u) \ u) \ 1 = (K(x,y) * K(y,z)) \ K(K(y,x) * K(z,y),u). [para(6649(a,1),8248(a,1,1)),flip(a)]. given #7489 (H,wt=31): 8250 (((K(x,y) * K(y,z)) \ u) \ u) \ 1 = (K(y,x) * K(z,y)) * K(K(y,x) * K(z,y),u). [hyper(189,a,8175,a(flip),b,8249,a)]. given #7490 (H,wt=23): 8252 (((K(x,y) * K(y,z)) \ u) \ u) \ 1 = T(K(y,x) * K(z,y),u). [hyper(189,a,4396,a,b,8250,a)]. given #7491 (H,wt=23): 8253 ((K(x,y) * (K(y,z) * u)) \ u) \ 1 = T(K(y,z) * K(x,y),u). [para(8172(a,1),8252(a,1,1,1))]. given #7492 (H,wt=47): 6788 (x * (y * ((x \ 1) / y))) / ((L(x * (y * ((x \ 1) / y)),z,u) \ 1) * (x * (y * ((x \ 1) / y)))) = L(K(x \ (y \ 1),y) \ 1,z,u). [para(6785(a,1),5738(a,2,1,1))]. given #7493 (H,wt=45): 8254 K(x,y \ (x \ 1)) / ((L(y * (x * ((y \ 1) / x)),z,u) \ 1) * (y * (x * ((y \ 1) / x)))) = L(K(y \ (x \ 1),x) \ 1,z,u). [para(6782(a,1),6788(a,1,1))]. given #7494 (H,wt=43): 8255 K(x,y \ (x \ 1)) / ((L(K(x,y \ (x \ 1)),z,u) \ 1) * (y * (x * ((y \ 1) / x)))) = L(K(y \ (x \ 1),x) \ 1,z,u). [para(6782(a,1),8254(a,1,2,1,1,1))]. given #7495 (H,wt=43): 8256 K(x,y \ (x \ 1)) / ((K(x,L(x * y,z,u) \ 1) \ 1) * (y * (x * ((y \ 1) / x)))) = L(K(y \ (x \ 1),x) \ 1,z,u). [para(6776(a,1),8255(a,1,2,1,1))]. given #7496 (H,wt=41): 8257 K(x,y \ (x \ 1)) / (K(L(x * y,z,u) \ 1,x) * (y * (x * ((y \ 1) / x)))) = L(K(y \ (x \ 1),x) \ 1,z,u). [para(3871(a,1),8256(a,1,2,1))]. given #7497 (H,wt=39): 8258 K(x,y \ (x \ 1)) / (K(L(x * y,z,u) \ 1,x) * K(x,y \ (x \ 1))) = L(K(y \ (x \ 1),x) \ 1,z,u). [para(6782(a,1),8257(a,1,2,2))]. given #7498 (H,wt=47): 6848 (x * K(y,z * x)) / T(T(K(y,z),x * K(y,z * x)),x * K(y,z * x)) = (K(y,z * x) * x) / T(K(y,z),x * K(y,z * x)). [para(6845(a,1),3547(a,1,1)),flip(a)]. given #7499 (H,wt=47): 8259 (x * K(y,z * x)) / T(T(K(y,z),x * K(y,z * x)),x * K(y,z * x)) = (K(y,z * x) * x) / K(y,T(z,x * K(y,z * x))). [para(5334(a,2),6848(a,2,2))]. given #7500 (H,wt=41): 8260 (x * K(y,z * x)) / T(T(K(y,z),x * K(y,z * x)),x * K(y,z * x)) = (K(y,z * x) * x) / K(y,T(z,x)). [para(7593(a,1),8259(a,2,2))]. given #7501 (H,wt=41): 8261 (x * K(y,z * x)) / T(T(K(y,z),x * K(y,z * x)),x * K(y,z * x)) = (K(y,z * x) * x) * K(z,T(y,x)). [hyper(189,a,5401,a(flip),b,8260,a)]. given #7502 (H,wt=41): 8263 (x * K(y,z * x)) / T(T(K(y,z),x * K(y,z * x)),x * K(y,z * x)) = K(y,z * x) * (x * K(z,T(y,x))). [hyper(189,a,6906,a(flip),b,8261,a)]. given #7503 (H,wt=39): 8264 (x * K(y,z * x)) / T(T(K(y,z),x * K(y,z * x)),x * K(y,z * x)) = K(y,z * x) * (K(z,y) * x). [para(5345(a,1),8263(a,2,2))]. given #7504 (H,wt=23): 8265 (x * K(y,z * x)) / K(y,z) = K(y,z * x) * (K(z,y) * x). [para(6031(a,1),8264(a,1,2))]. given #7505 (H,wt=23): 8266 (x * K(y,z * x)) * K(z,y) = K(y,z * x) * (K(z,y) * x). [hyper(3930,a,8265,a)]. given #7506 (H,wt=26): 8268 K(x,y * z) * (K(y,x) * z) != u | z * (K(x,y * z) * K(y,x)) = u. [para(8266(a,1),6764(a,1))]. given #7507 (H,wt=25): 8269 L(x,y,z) * (K(x,u * L(x,y,z)) * K(u,x)) = L(L(x,u,x),y,z). [hyper(8268,a,7860,a)]. given #7508 (H,wt=25): 8270 L(x,y,z) * (K(u,x) * K(x,u * L(x,y,z))) = L(L(x,u,x),y,z). [para(1959(a,1),8269(a,1,2))]. given #7509 (H,wt=22): 8271 L(x,y,z) * (a(x,u,L(x,y,z)) \ 1) = L(L(x,u,x),y,z). [para(8015(a,1),8270(a,1,2))]. given #7510 (H,wt=22): 8272 L(x,y,z) \ L(L(x,u,x),y,z) = a(x,u,L(x,y,z)) \ 1. [hyper(80,a,8271,a)]. given #7511 (H,wt=48): 5941 K(x * (y \ T(y * z,y)),L(K(y,y * z),z,x)) / ((x * z) / (x * (y \ T(y * z,y)))) = 1 / ((x * (y \ T(y * z,y))) \ (x * z)). [para(5923(a,1),4301(a,1,1,2))]. given #7512 (H,wt=48): 8141 L(K(x \ ((y \ 1) \ x),(x \ ((y \ 1) \ x)) * T(x,y)),T(x,y),z) = (z * ((x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y))) \ (z * T(x,y)). [para(8139(a,1),5909(a,1,1,2)),flip(a)]. given #7513 (H,wt=40): 8274 L(K(x \ ((y \ 1) \ x),(x \ ((y \ 1) \ x)) * T(x,y)),T(x,y),z) = (z * (y \ T(x * y,y))) \ (z * T(x,y)). [para(8146(a,1),8141(a,2,1,2))]. given #7514 (H,wt=48): 8273 K(x * (y \ T(y * z,y)),K(y * z,L(y,z,x))) / ((x * z) / (x * (y \ T(y * z,y)))) = 1 / ((x * (y \ T(y * z,y))) \ (x * z)). [para(7286(a,1),5941(a,1,1))]. given #7515 (H,wt=45): 8275 K(x * (y \ T(y * z,y)),K(y * z,y)) / ((x * z) / (x * (y \ T(y * z,y)))) = 1 / ((x * (y \ T(y * z,y))) \ (x * z)). [para(6689(a,1),8273(a,1,1,2))]. given #7516 (H,wt=45): 8276 K(x * y,K(z * (x \ T(x * y,x)),x)) / ((z * y) / (z * (x \ T(x * y,x)))) = 1 / ((z * (x \ T(x * y,x))) \ (z * y)). [para(5966(a,1),8275(a,1,1))]. given #7517 (H,wt=43): 8278 K(x * y,K(z * (x \ (x * y)),x)) / ((z * y) / (z * (x \ T(x * y,x)))) = 1 / ((z * (x \ T(x * y,x))) \ (z * y)). [para(6248(a,1),8276(a,1,1,2))]. given #7518 (H,wt=39): 8279 K(x * y,K(z * y,x)) / ((z * y) / (z * (x \ T(x * y,x)))) = 1 / ((z * (x \ T(x * y,x))) \ (z * y)). [para(16(a,1),8278(a,1,1,2,1,2))]. given #7519 (H,wt=39): 8280 K(x,K(x * y,z * y)) / ((z * y) / (z * (x \ T(x * y,x)))) = 1 / ((z * (x \ T(x * y,x))) \ (z * y)). [para(5969(a,1),8279(a,1,1))]. given #7520 (H,wt=37): 8281 K(x,K(y,z * y)) / ((z * y) / (z * (x \ T(x * y,x)))) = 1 / ((z * (x \ T(x * y,x))) \ (z * y)). [para(6003(a,1),8280(a,1,1))]. given #7521 (H,wt=35): 8282 K(x,K(y,z)) / ((y * z) / (y * (x \ T(x * z,x)))) = 1 / ((y * (x \ T(x * z,x))) \ (y * z)). [para(5992(a,1),8281(a,1,1))]. given #7522 (H,wt=35): 8283 K(x,K(y,z)) / ((x * z) / (x * (y \ T(y * z,y)))) = 1 / ((x * (y \ T(y * z,y))) \ (x * z)). [para(5966(a,1),8282(a,1,1))]. given #7523 (H,wt=32): 8284 K(x,K(y,z)) / L(K(y,T(z * y,x)),z,x) = 1 / ((x * (y \ T(y * z,y))) \ (x * z)). [para(7613(a,1),8283(a,1,2))]. given #7524 (H,wt=32): 8285 K(x,K(y,z)) * L(K(T(z * y,x),y),z,x) = 1 / ((x * (y \ T(y * z,y))) \ (x * z)). [hyper(5908,a,8284,a)]. given #7525 (H,wt=32): 8286 K(x,K(y,z)) * L(K(z * y,T(y,x)),z,x) = 1 / ((x * (y \ T(y * z,y))) \ (x * z)). [para(5380(a,1),8285(a,1,2,1))]. given #7526 (H,wt=35): 8287 1 / ((x * (y \ T(y * z,y))) \ (x * z)) != K(x,K(y,z)) * u | L(K(z * y,T(y,x)),z,x) = u. [para(8286(a,1),22(a,1))]. given #7527 (H,wt=49): 4019 ((T((x \ 1) \ 1,y) \ x) * T((x \ 1) \ 1,y)) * (T((x \ 1) \ 1,y) \ y) = y * T(y \ T(y * K(x \ 1,x),x),T((x \ 1) \ 1,y)). [para(4018(a,2),1244(a,2,2,1,2))]. given #7528 (H,wt=47): 8288 (((T(x,y) \ 1) * x) * T((x \ 1) \ 1,y)) * (T((x \ 1) \ 1,y) \ y) = y * T(y \ T(y * K(x \ 1,x),x),T((x \ 1) \ 1,y)). [para(5520(a,1),4019(a,1,1,1))]. given #7529 (H,wt=39): 8289 x * T(x \ T(x * K(y \ 1,y),y),T((y \ 1) \ 1,x)) = (K(x,y) * T(y,x)) * (T((y \ 1) \ 1,x) \ x). [para(4789(a,1),8288(a,1,1)),flip(a)]. given #7530 (H,wt=33): 8290 x * T(x \ T(x * K(y \ 1,y),y),T((y \ 1) \ 1,x)) = y * (T((y \ 1) \ 1,x) \ x). [para(4370(a,1),8289(a,2,1))]. given #7531 (H,wt=31): 8291 x * T(x \ T(x * K(y \ 1,y),y),T((y \ 1) \ 1,x)) = y \ (x * (1 / (1 / y))). [hyper(189,a,4984,a(flip),b,8290,a)]. given #7532 (H,wt=27): 8292 x * T((T(y,x) \ 1) * y,T((y \ 1) \ 1,x)) = y \ (x * (1 / (1 / y))). [para(5595(a,1),8291(a,1,2,1))]. given #7533 (H,wt=23): 8293 x * T((T(y,x) \ 1) * y,T(y,x)) = y \ (x * (1 / (1 / y))). [para(2676(a,1),8292(a,1,2))]. given #7534 (H,wt=19): 8294 x \ (y * (1 / (1 / x))) = y * ((T(x,y) \ 1) * x). [para(6852(a,1),8293(a,1,2)),flip(a)]. given #7535 (H,wt=31): 8295 K((x * (1 / (1 / y))) \ (y * z),T(z,u)) = K((x * ((T(y,x) \ 1) * y)) \ z,T(z,u)). [para(8294(a,1),5538(a,1,1,1)),flip(a)]. given #7536 (H,wt=31): 8297 K((x * ((T(y,x) \ 1) * y)) \ z,T(z,u)) = K((x * y) \ (((y \ 1) \ 1) * z),T(z,u)). [para(3259(a,1),8295(a,1,1)),flip(a)]. given #7537 (H,wt=27): 8298 K((x * ((T(y,x) \ 1) * y)) \ z,T(z,u)) = K((x * y) \ (z * y),T(z,u)). [hyper(189,a,6578,a(flip),b,8297,a)]. given #7538 (H,wt=23): 8299 K((x * ((T(y,x) \ 1) * y)) \ z,T(z,x)) = K(x \ z,T(z,y)). [hyper(189,a,7099,a(flip),b,8298,a)]. given #7539 (H,wt=17): 8300 K(T(x,y) \ z,T(z,x)) = K(x \ z,T(z,y)). [hyper(189,a,5584,a(flip),b,8299,a(flip)),flip(a)]. given #7540 (H,wt=15): 8301 K(T(x,y) \ z,z) = K(x \ z,T(z,y)). [hyper(189,a,7530,a(flip),b,8300,a(flip)),flip(a)]. given #7541 (H,wt=28): 8302 R(x,y,z) \ R(x * K(u \ x,T(x,w)),y,z) = K(T(u,w) \ x,R(x,y,z)). [para(8301(a,1),4741(a,1,2,1,2))]. given #7542 (H,wt=21): 8303 K(T(x,y) \ z,R(z,u,w)) = K(x \ z,R(T(z,y),u,w)). [hyper(189,a,7049,a(flip),b,8302,a(flip))]. given #7543 (H,wt=49): 5702 (x * y) / (((z \ R(R(1 / u,u,x),u * x,y)) * z) * ((u * x) * y)) = K(z,(x * y) / (z * (R(R(1 / u,u,x),u * x,y) \ (x * y)))). [para(452(a,1),5698(a,1,2,2))]. given #7544 (H,wt=49): 7046 (1 / (x \ y)) \ R(1 / (x \ y),z,L(1 / (x \ y),x \ y,x)) = K(z * (1 / (1 / (y \ x))),T(1 / (x \ y),z)) * K(1 / (x \ y),z). [para(2196(a,1),7045(a,1,1,1,2)),flip(a)]. given #7545 (H,wt=47): 8305 (1 / (x \ y)) \ R(1 / (x \ y),z,L(1 / (x \ y),x \ y,x)) = K(z * (1 / (1 / (y \ x))),T(y \ x,z)) * K(1 / (x \ y),z). [para(6876(a,1),7046(a,2,1))]. given #7546 (H,wt=41): 8306 (1 / (x \ y)) \ R(1 / (x \ y),z,L(1 / (x \ y),x \ y,x)) = K(z * (y \ x),y \ x) * K(1 / (x \ y),z). [para(7178(a,1),8305(a,2,1))]. given #7547 (H,wt=41): 8307 (1 / (x \ y)) \ R(1 / (x \ y),z,L(1 / (x \ y),x \ y,x)) = K(z * (y \ x),y \ x) * K((x \ y) \ 1,z). [para(2647(a,1),8306(a,2,2))]. given #7548 (H,wt=39): 8309 (1 / (x \ y)) \ R(1 / (x \ y),z,L(1 / (x \ y),x \ y,x)) = K(z * (y \ x),y \ x) * K(y \ x,z). [para(5209(a,1),8307(a,2,2))]. given #7549 (H,wt=36): 8310 (1 / (x \ y)) \ R(1 / (x \ y),z,L(1 / (x \ y),x \ y,x)) = (y \ x) \ R(y \ x,z,y \ x). [hyper(189,a,4697,a(flip),b,8309,a)]. given #7550 (H,wt=33): 8311 (1 / (x \ y)) \ R(1 / (x \ y),z,1 / (1 / (y \ x))) = (y \ x) \ R(y \ x,z,y \ x). [para(2196(a,1),8310(a,1,2,3))]. given #7551 (H,wt=29): 8312 (1 / (x \ y)) \ R(1 / (x \ y),z,y \ x) = (y \ x) \ R(y \ x,z,y \ x). [para(4079(a,1),8311(a,1,2))]. given #7552 (H,wt=27): 8313 (x \ y) * R((x \ y) \ 1,z,y \ x) = (y \ x) \ R(y \ x,z,y \ x). [hyper(859,a,8312,a)]. given #7553 (H,wt=25): 8314 (x \ y) \ R(x \ y,z,x \ y) = y \ (x * R(x \ y,z,x \ y)). [hyper(189,a,1315,a(flip),b,8313,a(flip))]. given #7554 (H,wt=37): 8315 T(x,x \ y) \ R((x \ y) \ y,z,(x \ y) \ y) = y \ ((x \ y) * R((x \ y) \ y,z,(x \ y) \ y)). [hyper(535,a,8314,a)]. given #7555 (H,wt=33): 8316 T(x,x \ y) \ R((x \ y) \ y,z,(x \ y) \ y) = y \ (R(x,z,(x \ y) \ y) * (x \ y)). [para(513(a,1),8315(a,2,2))]. given #7556 (H,wt=29): 8317 T(x,x \ y) \ R((x \ y) \ y,z,(x \ y) \ y) = y \ (R(x,z,x) * (x \ y)). [para(7715(a,1),8316(a,2,2,1))]. given #7557 (H,wt=17): 8318 x \ (R(y,z,y) * (y \ x)) = y \ R(y,z,y). [hyper(189,a,7723,a(flip),b,8317,a(flip))]. given #7558 (H,wt=17): 8321 R(x,y,x) * (x \ z) = z * (x \ R(x,y,x)). [para(8318(a,1),17(a,1,2)),flip(a)]. given #7559 (H,wt=15): 8322 R(x,y,x) * (x \ z) = z * a(x,y,x). [para(7941(a,1),8321(a,2,2))]. given #7560 (H,wt=15): 8324 (x / y) * R(y,z,y) = x * a(y,z,y). [hyper(189,a,6710,a(flip),b,8322,a(flip)),flip(a)]. given #7561 (H,wt=15): 8325 (x * a(y,z,y)) / R(y,z,y) = x / y. [hyper(76,a,8322,a(flip),b,6710,a(flip))]. given #7562 (H,wt=13): 8332 R(x / y,y,a(y,z,y)) = x / y. [hyper(7953,a,8325,a)]. given #7563 (H,wt=13): 8333 R((x * y) / y,y,a(y,z,y)) = x. [hyper(189,a,18,a(flip),b,8332,a)]. given #7564 (H,wt=9): 8334 R(x,y,a(y,z,y)) = x. [para(18(a,1),8333(a,1,1))]. given #7565 (H,wt=15): 8326 x * (y * a(x,z,x)) = R(x,z,x) * y. [para(8322(a,1),924(a,1,2))]. given #7566 (H,wt=15): 8327 (x * a(y,z,y)) \ (x * R(y,z,y)) = y. [para(8322(a,1),6712(a,1,1))]. given #7567 (H,wt=15): 8328 (x * y) * a(y,z,y) = x * R(y,z,y). [para(18(a,1),8324(a,1,1)),flip(a)]. given #7568 (H,wt=15): 8337 x * (a(x,y,x) * z) = R(x,y,x) * z. [para(7980(a,2),8326(a,1,2))]. given #7569 (H,wt=15): 8340 a(x,y,x) * (x * z) = R(x,y,x) * z. [hyper(20,a,922,a(flip),b,8337,a)]. given #7570 (H,wt=18): 8329 (x / y) * R(y,z,y) != x * u | a(y,z,y) = u. [para(8324(a,2),22(a,1))]. given #7571 (H,wt=20): 8323 (x / y) * ((y \ z) \ T(z,y)) = x * a(y,y \ z,y). [hyper(189,a,6713,a(flip),b,8322,a(flip)),flip(a)]. given #7572 (H,wt=23): 8331 K(x,y) * ((z / y) * R(y,u,y)) = y * (L(T(y,x),u,y) \ z). [para(8324(a,2),7972(a,1,2))]. given #7573 (H,wt=21): 8342 R(x,y,x) * (T(x,z) \ u) = x * (L(T(x,z),y,x) \ u). [hyper(189,a,8094,a(flip),b,8331,a(flip)),flip(a)]. given #7574 (H,wt=27): 8338 (x * (y * z)) \ (x * (y * R(z,u,z))) != w | L(a(z,u,z),y * z,x) = w. [para(8328(a,1),355(a,1,2,2))]. given #7575 (H,wt=27): 8341 ((R(x,y,x) * z) * u) / ((x * z) * u) != w | R(a(x,y,x),x * z,u) = w. [para(8340(a,1),385(a,1,1,1))]. given #7576 (H,wt=27): 8343 K(x,y) * (x * (L(T(x,z),u,x) \ w)) = R(T(x,y),u,x) * (T(x,z) \ w). [para(8342(a,1),8070(a,1,2))]. given #7577 (H,wt=25): 8344 R(T(x,y),z,x) * (T(x,u) \ w) = T(x,y) * (L(T(x,u),z,x) \ w). [hyper(4564,a,8343,a),flip(a)]. given #7578 (H,wt=30): 8339 (a(x,y,x) \ 1) \ K(z * x,a(x,y,x)) = (((z * R(x,y,x)) / (z * x)) \ 1) \ 1. [para(8328(a,1),4736(a,1,1,1,1)),flip(a)]. given #7579 (H,wt=28): 8345 (((x * R(y,z,y)) / (x * y)) \ 1) \ 1 = a(y,z,y) * K(x * y,a(y,z,y)). [hyper(8001,a,8339,a),flip(a)]. given #7580 (H,wt=25): 8346 a(x,y,x) * K(z * x,a(x,y,x)) = (R(a(x,y,x),x,z) \ 1) \ 1. [para(7951(a,1),8345(a,1,1,1)),flip(a)]. given #7581 (H,wt=25): 8347 a(x,y,x) * K(z * x,a(x,y,x)) = R((a(x,y,x) \ 1) \ 1,x,z). [hyper(189,a,3105,a,b,8346,a)]. given #7582 (H,wt=34): 8336 L(T(x,a(x,y,x)),a(x,y,x),R(z,x,a(x,y,x))) = (z * a(x,y,x)) \ ((z * x) * a(x,y,x)). [para(8334(a,1),555(a,1,1,1)),flip(a)]. given #7583 (H,wt=32): 8348 L(T(x,a(x,y,x)),a(x,y,x),R(z,x,a(x,y,x))) = (z * a(x,y,x)) \ (z * R(x,y,x)). [para(8328(a,1),8336(a,2,2))]. given #7584 (H,wt=20): 8349 L(T(x,a(x,y,x)),a(x,y,x),R(z,x,a(x,y,x))) = x. [hyper(189,a,8327,a(flip),b,8348,a)]. given #7585 (H,wt=15): 8352 L(x,a(x,y,x),R(z,x,a(x,y,x))) = x. [para(7737(a,1),8349(a,1,1))]. given #7586 (H,wt=9): 8353 L(x,a(x,y,x),z) = x. [para(372(a,1),8352(a,1,3))]. given #7587 (H,wt=23): 8354 (x * a(y,z,y)) * L(y,u,w) = x * (a(y,z,y) * L(y,u,w)). [para(8353(a,1),352(a,1,2,1))]. given #7588 (H,wt=41): 8330 ((x \ y) * L(x,z,u)) * R(T(x,x \ y),w,T(x,x \ y)) = (y * L(x,z,u)) * a(T(x,x \ y),w,T(x,x \ y)). [para(1279(a,1),8324(a,1,1))]. given #7589 (H,wt=37): 8355 (x * L(y,z,u)) * a(T(y,y \ x),w,T(y,y \ x)) = ((y \ x) * L(y,z,u)) * R(T(y,y \ x),w,y). [para(6434(a,1),8330(a,1,2)),flip(a)]. given #7590 (H,wt=49): 8190 (K(x,y) * K(z,x)) \ (K((K(x,y) * K(z,x)) \ u,K(x,y)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = (((K(x,y) * K(z,x)) \ u) \ u) \ 1. [para(8188(a,2),4465(a,2,2)),flip(a)]. given #7591 (H,wt=49): 8304 (x * y) / (R((z \ R(1 / u,u,x)) * z,u * x,y) * ((u * x) * y)) = K(z,(x * y) / (z * (R(R(1 / u,u,x),u * x,y) \ (x * y)))). [para(3270(a,2),5702(a,1,2,1))]. given #7592 (H,wt=49): 8357 (K(x,y) * K(z,x)) \ (K((K(x,y) * K(z,x)) \ u,K(x,y)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = ((K(y,x) * (K(x,z) * u)) \ u) \ 1. [para(8169(a,1),8190(a,2,1,1))]. given #7593 (H,wt=45): 8359 (K(x,y) * K(z,x)) \ (K((K(x,y) * K(z,x)) \ u,K(x,y)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = T(K(x,z) * K(y,x),u). [hyper(189,a,8253,a(flip),b,8357,a)]. given #7594 (H,wt=45): 8360 (K(x,y) * K(z,x)) \ (K(K(y,x) * (K(x,z) * u),K(x,y)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = T(K(x,z) * K(y,x),u). [para(8169(a,1),8359(a,1,2,1,1))]. given #7595 (H,wt=37): 8361 (K(x,y) * K(z,x)) \ (K(x,K(u,y)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = T(K(x,z) * K(y,x),u). [para(6262(a,1),8360(a,1,2,1))]. given #7596 (H,wt=37): 8362 (K(x,y) * K(z,x)) \ (K(x,K(y,u)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = T(K(x,z) * K(y,x),u). [para(5983(a,1),8361(a,1,2,1))]. given #7597 (H,wt=37): 8364 (K(x,y) * K(z,x)) \ (K(x,K(y,u)) * K(K(y,x) * (K(x,z) * u),K(x,z))) = T(K(x,z) * K(y,x),u). [para(8169(a,1),8362(a,1,2,2,1))]. given #7598 (H,wt=29): 8365 (K(x,y) * K(z,x)) \ (K(x,K(y,u)) * K(x,K(u,z))) = T(K(x,z) * K(y,x),u). [para(6262(a,1),8364(a,1,2,2))]. given #7599 (H,wt=27): 8367 (K(x,y) * K(z,x)) \ K(u,K(x,y) * K(z,x)) = T(K(x,z) * K(y,x),u). [para(8214(a,1),8365(a,1,2))]. given #7600 (H,wt=27): 8368 K(x,y) * (K(y,z) * K(u,K(y,x) * K(z,y))) = T(K(y,z) * K(x,y),u). [hyper(189,a,8169,a(flip),b,8367,a(flip)),flip(a)]. given #7601 (H,wt=25): 8369 T(x * K(y,z),K(z,u)) / (K(u,z) * x) = T(K(z,u) * K(y,z),x). [hyper(189,a,8215,a,b,8368,a(flip)),flip(a)]. given #7602 (H,wt=23): 8370 T(K(x,y) * K(z,x),K(y,x) * u) = T(K(x,y) * K(z,x),u). [hyper(189,a,8213,a(flip),b,8369,a(flip)),flip(a)]. given #7603 (H,wt=49): 8358 (x * y) / (R(R((z \ (1 / u)) * z,u,x),u * x,y) * ((u * x) * y)) = K(z,(x * y) / (z * (R(R(1 / u,u,x),u * x,y) \ (x * y)))). [para(3270(a,2),8304(a,1,2,1,1))]. given #7604 (H,wt=44): 8371 K(x,(y * z) / (x * (R(R(1 / u,u,y),u * y,z) \ (y * z)))) = (y * z) / ((R((x \ (1 / u)) * x,u,y) * (u * y)) * z). [para(110(a,1),8358(a,1,2)),flip(a)]. given #7605 (H,wt=41): 8372 K(x,(y * z) / (x * (R(R(1 / u,u,y),u * y,z) \ (y * z)))) = (y * z) / (((((x \ (1 / u)) * x) * u) * y) * z). [para(110(a,1),8371(a,2,2,1))]. given #7606 (H,wt=39): 8373 K(x,(y * z) / (x * (R(R(1 / u,u,y),u * y,z) \ (y * z)))) = (y * z) / ((K(u \ (x \ 1),x) * y) * z). [para(5554(a,1),8372(a,2,2,1,1))]. given #7607 (H,wt=34): 8374 K(x,(y * z) / (x * (R(R(1 / u,u,y),u * y,z) \ (y * z)))) = R(K(x,u \ (x \ 1)),y,z). [hyper(189,a,5673,a(flip),b,8373,a)]. given #7608 (H,wt=34): 8375 K(x,(y * z) / (x * (R(R(1 / u,u,y),u * y,z) \ (y * z)))) = K(x,R(u * x,y,z) \ 1). [hyper(189,a,5671,a(flip),b,8374,a)]. given #7609 (H,wt=24): 8376 K(x,(y * z) / (x * ((u * y) * z))) = K(x,R(u * x,y,z) \ 1). [para(452(a,1),8375(a,1,2,2,2))]. given #7610 (H,wt=21): 8377 K(x,R(y * x,z,u) \ 1) = K(x,R(y,z,u) \ (x \ 1)). [hyper(5701,a,8376,a),flip(a)]. given #7611 (H,wt=25): 8378 K(x \ 1,R(y,z,u) \ ((x \ 1) \ 1)) = K(R(x,z,u) \ 1,y \ x). [hyper(7481,a,8377,a),flip(a)]. given #7612 (H,wt=21): 8379 K(R(x,y,z) \ 1,u \ x) = K(x \ 1,R(u,y,z) \ x). [hyper(189,a,7439,a(flip),b,8378,a(flip))]. given #7613 (H,wt=28): 8380 K(x \ 1,R(y / (z / u),z / u,u) \ x) = K(x \ 1,z / ((x \ y) * u)). [hyper(189,a,7491,a(flip),b,8379,a(flip))]. given #7614 (H,wt=23): 8381 K(x \ 1,y / ((x \ z) * u)) = K(x \ 1,((z * u) / y) \ x). [para(391(a,1),8380(a,1,2,1)),flip(a)]. given #7615 (H,wt=23): 8382 K(x \ 1,y / ((z / x) * u)) = K(x \ 1,((z * u) / y) \ x). [hyper(189,a,8102,a,b,8381,a(flip)),flip(a)]. given #7616 (H,wt=25): 8383 K((x \ 1) \ 1,((y * z) / u) \ (x \ 1)) = K(x,u / ((y * x) * z)). [hyper(189,a,8100,a(flip),b,8382,a(flip))]. given #7617 (H,wt=21): 8384 K(x,((y * z) / u) \ (x \ 1)) = K(x,u / ((y * x) * z)). [hyper(2659,a,8383,a)]. given #7618 (H,wt=19): 8385 K(x,y / ((z * u) * x)) = K(x,y / ((z * x) * u)). [hyper(189,a,6761,a(flip),b,8384,a(flip)),flip(a)]. given #7619 (H,wt=19): 8386 K(x,y / ((z * x) * u)) = K(x,y / (x * (z * u))). [hyper(189,a,6757,a(flip),b,8385,a(flip))]. given #7620 (H,wt=19): 8388 K(x,y / ((x * z) * u)) = K(x,y / (x * (z * u))). [hyper(189,a,7016,a(flip),b,8386,a(flip)),flip(a)]. given #7621 (H,wt=21): 8390 x * K(x,y / (x * (z * u))) = T(x,y / ((x * z) * u)). [para(8388(a,1),4396(a,2,2)),flip(a)]. given #7622 (H,wt=24): 8387 K(x,((y * x) * z) / (x * (y * (y \ z)))) = L(K(x,y),z,y * x). [hyper(189,a,8124,a(flip),b,8386,a(flip))]. given #7623 (H,wt=20): 8391 L(K(x,y),z,y * x) = K(x,((y * x) * z) / (x * z)). [para(17(a,1),8387(a,1,2,2,2)),flip(a)]. given #7624 (H,wt=15): 8392 L(K(x,y),z,y * x) = K(x,R(y,x,z)). [para(33(a,2),8391(a,2,2))]. given #7625 (H,wt=17): 8394 R(K(x,y),z,T(y * x,z)) = K(x,R(y,x,z)). [hyper(8121,a,8392,a)]. given #7626 (H,wt=19): 8395 L(T(K(x,y),z),u,y * x) = T(K(x,R(y,x,u)),z). [para(8392(a,1),43(a,2,1))]. given #7627 (H,wt=19): 8398 L(T(K(x,y),z),u,y * x) = K(x,T(R(y,x,u),z)). [hyper(189,a,5334,a,b,8395,a)]. given #7628 (H,wt=19): 8399 L(T(K(x,y),z),u,y * x) = K(x,R(T(y,z),x,u)). [para(45(a,2),8398(a,2,2))]. given #7629 (H,wt=19): 8400 L(K(x,T(y,z)),u,y * x) = K(x,R(T(y,z),x,u)). [para(5334(a,2),8399(a,1,1))]. given #7630 (H,wt=24): 8397 K(x,R(y,x,z)) * ((y * x) * z) = (K(x,y) * z) * T(y * x,z). [para(8394(a,1),383(a,1,1))]. given #7631 (H,wt=21): 8402 (K(x,y) * z) * T(y * x,z) = (y * (K(x,y) * x)) * z. [hyper(189,a,5038,a(flip),b,8397,a(flip))]. given #7632 (H,wt=17): 8403 (K(x,y) * z) * T(y * x,z) = (x * y) * z. [para(4451(a,1),8402(a,2,1))]. given #7633 (H,wt=15): 8404 (x * y) * (K(y,x) * z) = (y * x) * z. [hyper(189,a,7472,a(flip),b,8403,a(flip)),flip(a)]. given #7634 (H,wt=10): 8406 L(x,K(y,z),z * y) = x. [hyper(643,a,8404,a)]. given #7635 (H,wt=10): 8410 L(x,K(y \ z,y),z) = x. [para(17(a,1),8406(a,1,3))]. given #7636 (H,wt=10): 8411 L(x,K(y,y \ z),z) = x. [para(3944(a,1),8410(a,1,2))]. given #7637 (H,wt=15): 8409 K(x,y) * ((x * y) \ z) = (y * x) \ z. [hyper(75,a,17,a(flip),b,8404,a),flip(a)]. given #7638 (H,wt=17): 8407 x * (K(y \ x,y) * z) = ((y \ x) * y) * z. [hyper(411,a,8404,a)]. given #7639 (H,wt=17): 8412 (x * (y / x)) \ (y * z) = K(x \ y,x) * z. [hyper(189,a,4015,a(flip),b,8411,a(flip)),flip(a)]. given #7640 (H,wt=17): 8413 ((x * y) \ z) \ K(y,x) = ((y * x) \ z) \ 1. [para(8409(a,1),7358(a,1,1)),flip(a)]. given #7641 (H,wt=17): 8415 ((x \ y) * x) * (y \ z) = K(x \ y,x) * z. [hyper(20,a,7837,a,b,8407,a),flip(a)]. given #7642 (H,wt=17): 8417 K(x \ y,x) * (y \ z) = (x * (y / x)) \ z. [para(17(a,1),8412(a,1,2)),flip(a)]. given #7643 (H,wt=17): 8419 K(x \ y,x) * (y * z) = ((x \ y) * x) * z. [para(16(a,1),8415(a,1,2)),flip(a)]. given #7644 (H,wt=19): 8420 ((x \ y) * x) * (y \ z) = y * ((x * (y / x)) \ z). [para(8417(a,1),8407(a,1,2)),flip(a)]. given #7645 (H,wt=17): 8423 x * ((y * (x / y)) \ z) = K(y \ x,y) * z. [hyper(189,a,8415,a(flip),b,8420,a(flip))]. given #7646 (H,wt=17): 8424 (x * (y / x)) \ (K(x,x \ y) * (y * z)) = z. [hyper(20,a,3887,a(flip),b,8423,a)]. given #7647 (H,wt=10): 8425 L(x,y,K(z,z \ y)) = x. [hyper(4323,a,8424,a)]. given #7648 (H,wt=10): 8426 L(x,y * z,K(z,y)) = x. [para(3891(a,1),8425(a,1,3))]. given #7649 (H,wt=12): 8428 L(x,T(y,z) * z,K(z,y)) = x. [para(3874(a,1),8426(a,1,3))]. given #7650 (H,wt=11): 8429 L(x,y,T(z,y)) = L(x,y,z). [hyper(5742,a,8428,a),flip(a)]. given #7651 (H,wt=13): 8427 L(x,y,z * K(y,z)) = L(x,y,z). [hyper(189,a,4044,a(flip),b,8426,a(flip)),flip(a)]. given #7652 (H,wt=11): 8431 L(x,T(y,z),z) = L(x,y,z). [hyper(4934,a,8427,a)]. given #7653 (H,wt=13): 8430 L(x,y,z / y) = L(x,y,y \ z). [para(115(a,1),8429(a,1,3)),flip(a)]. given #7654 (H,wt=13): 8433 L(x,y / z,z) = L(x,z \ y,z). [para(115(a,1),8431(a,1,2)),flip(a)]. given #7655 (H,wt=16): 8432 L(x,y,z) = (y * z) \ (z * (T(y,z) * x)). [hyper(189,a,4932,a,b,8427,a(flip))]. given #7656 (H,wt=16): 8439 (x * (T(y,x) * z)) / L(z,y,x) = y * x. [para(8432(a,2),67(a,1,2))]. given #7657 (H,wt=17): 8438 L(x,1 / y,(1 / y) \ z) = L(x,y \ z,y). [hyper(189,a,5876,a(flip),b,8430,a(flip))]. given #7658 (H,wt=17): 8440 L(x,y \ 1,(1 / y) \ z) = L(x,y \ z,y). [hyper(189,a,5788,a(flip),b,8438,a(flip)),flip(a)]. given #7659 (H,wt=15): 8441 L(K(x,y),y \ z,y) != u | K(x,y) = u. [para(8440(a,1),5736(a,1))]. given #7660 (H,wt=20): 8414 L(K(x \ y,x),z,y) * (y * z) = ((x \ y) * x) * z. [hyper(7755,a,8407,a)]. given #7661 (H,wt=14): 8443 L(K(x \ y,x),z,y) = K(x \ y,x). [hyper(21,a,8419,a,b,8414,a)]. given #7662 (H,wt=20): 8421 ((x \ y) * x) * z != u * (y * z) | K(x \ y,x) = u. [para(8419(a,1),23(a,1))]. given #7663 (H,wt=20): 8422 ((x \ y) * x) * (y \ z) != u | K(x \ y,x) * z = u. [para(8419(a,1),254(a,1))]. given #7664 (H,wt=23): 8418 K(x,y) * ((((x * y) \ y) \ 1) \ z) = (((y * x) \ y) \ 1) \ z. [para(8413(a,1),5776(a,1,2,1))]. given #7665 (H,wt=23): 8445 K(x,y) * ((y \ ((x \ 1) \ y)) \ z) = (((y * x) \ y) \ 1) \ z. [para(4271(a,1),8418(a,1,2,1))]. given #7666 (H,wt=19): 8446 (((x \ 1) \ y) / y) \ z = (((y * x) \ y) \ 1) \ z. [hyper(189,a,4920,a(flip),b,8445,a(flip)),flip(a)]. given #7667 (H,wt=23): 8447 (((x * y) \ x) \ 1) \ K(y,y \ 1) = 1 / (((y \ 1) \ x) / x). [hyper(189,a,5023,a(flip),b,8446,a(flip))]. given #7668 (H,wt=15): 8448 1 / (((x \ 1) \ y) / y) = (y * x) \ y. [hyper(4913,a,8447,a),flip(a)]. given #7669 (H,wt=15): 8449 1 / (((x \ y) / y) \ 1) = (y * x) \ y. [para(4263(a,1),8448(a,1,2))]. given #7670 (H,wt=11): 8450 (x \ y) / y = (y * x) \ y. [hyper(246,a,8449,a),flip(a)]. given #7671 (H,wt=11): 8452 (x * (x / y)) \ x = y / x. [para(69(a,1),8450(a,1,1)),flip(a)]. given #7672 (H,wt=25): 8389 (x \ 1) / (x \ K(x,y / (x * (z * u)))) = K(y / ((x * z) * u),x). [para(8388(a,1),3970(a,1,2,2))]. given #7673 (H,wt=19): 8456 K(x / ((y * z) * u),y) = K(x / (y * (z * u)),y). [hyper(3971,a,8389,a),flip(a)]. given #7674 (H,wt=17): 8457 K(x / (y * (z * x)),y) = K(z \ (y \ 1),y). [hyper(189,a,5553,a(flip),b,8456,a(flip))]. given #7675 (H,wt=17): 8458 K(x / ((y * x) * z),z) = K(y \ (z \ 1),z). [hyper(7424,a,8457,a)]. given #7676 (H,wt=17): 8459 K((x \ y) / (z * y),z) = K(x \ (z \ 1),z). [para(17(a,1),8457(a,1,1,2,2))]. given #7677 (H,wt=17): 8460 K((x / y) \ (z \ 1),z) = K(y / (x * z),z). [para(19(a,1),8458(a,1,1,2,1)),flip(a)]. given #7678 (H,wt=25): 8401 L(K(x \ y,T(x,z)),u,x * (x \ y)) = R(K(x \ y,T(x,z)),y,u). [hyper(189,a,5691,a(flip),b,8400,a)]. given #7679 (H,wt=21): 8462 R(K(x \ y,T(x,z)),y,u) = L(K(x \ y,T(x,z)),u,y). [para(17(a,1),8401(a,1,3)),flip(a)]. given #7680 (H,wt=25): 8461 K(((x \ y) * x) / (z * (y / (y / x))),z) = K((x / y) \ (z \ 1),z). [para(4865(a,1),8459(a,1,1,1))]. given #7681 (H,wt=23): 8463 K(((x \ y) * x) / (z * (y / (y / x))),z) = K(y / (x * z),z). [hyper(189,a,8460,a(flip),b,8461,a)]. given #7682 (H,wt=22): 8464 K(R(x \ (y / z),x,y / (y / z)),x) = K(y / (z * x),x). [hyper(189,a,3965,a,b,8463,a(flip)),flip(a)]. given #7683 (H,wt=29): 8396 K(x,R(y,x,T(z,y * x))) != u | K(((z / x) * (y * x)) \ (z * (y * x)),y) = u. [para(8392(a,1),7694(a,1))]. given #7684 (H,wt=51): 6787 ((x * (y * ((x \ 1) / y))) * L(K(x \ (y \ 1),y),z,u)) * ((x * (y * ((x \ 1) / y))) \ w) = w * L(w \ ((x * (y * ((x \ 1) / y))) \ w),z,u). [para(6785(a,1),1239(a,1,1,2,1))]. given #7685 (H,wt=49): 8465 (K(x,y \ (x \ 1)) * L(K(y \ (x \ 1),x),z,u)) * ((y * (x * ((y \ 1) / x))) \ w) = w * L(w \ ((y * (x * ((y \ 1) / x))) \ w),z,u). [para(6782(a,1),6787(a,1,1,1))]. given #7686 (H,wt=49): 8466 (K(x,y \ (x \ 1)) * K(L(y * x,z,u) \ 1,x)) * ((y * (x * ((y \ 1) / x))) \ w) = w * L(w \ ((y * (x * ((y \ 1) / x))) \ w),z,u). [para(5586(a,1),8465(a,1,1,2))]. given #7687 (H,wt=49): 8467 (K(x,y \ (x \ 1)) * K(L(y,z,u) \ (x \ 1),x)) * ((y * (x * ((y \ 1) / x))) \ w) = w * L(w \ ((y * (x * ((y \ 1) / x))) \ w),z,u). [para(7806(a,1),8466(a,1,1,2))]. given #7688 (H,wt=47): 8468 (K(x,y \ (x \ 1)) * K(L(y,z,u) \ (x \ 1),x)) * (K(x,y \ (x \ 1)) \ w) = w * L(w \ ((y * (x * ((y \ 1) / x))) \ w),z,u). [para(6782(a,1),8467(a,1,2,1))]. given #7689 (H,wt=47): 8469 (K(x,y \ (x \ 1)) * K(L(y,z,u) \ (x \ 1),x)) * (K(y \ (x \ 1),x) * w) = w * L(w \ ((y * (x * ((y \ 1) / x))) \ w),z,u). [para(3889(a,1),8468(a,1,2))]. given #7690 (H,wt=31): 8470 x * L(x \ ((y * (z * ((y \ 1) / z))) \ x),u,w) = K(L(y,u,w) \ (z \ 1),z) * x. [hyper(189,a,8160,a(flip),b,8469,a(flip))]. given #7691 (H,wt=29): 8472 x * L(x \ (K(y,z \ (y \ 1)) \ x),u,w) = K(L(z,u,w) \ (y \ 1),y) * x. [para(6782(a,1),8470(a,1,2,1,2,1))]. given #7692 (H,wt=27): 8473 x * L(K(y \ (z \ 1),T(z,x)),u,w) = K(L(y,u,w) \ (z \ 1),z) * x. [para(5339(a,1),8472(a,1,2,1))]. given #7693 (H,wt=27): 8474 x * K(L(y * z,u,w) \ 1,T(y,x)) = K(L(z,u,w) \ (y \ 1),y) * x. [para(7035(a,1),8473(a,1,2))]. given #7694 (H,wt=25): 8475 K(L(x * y,z,u) \ 1,x) * w = K(L(y,z,u) \ (x \ 1),x) * w. [hyper(5346,a,8474,a)]. given #7695 (H,wt=39): 8476 K(x,y \ (x \ 1)) / (K(L(y,z,u) \ (x \ 1),x) * K(x,y \ (x \ 1))) = L(K(y \ (x \ 1),x) \ 1,z,u). [para(8475(a,1),8258(a,1,2))]. given #7696 (H,wt=23): 8477 L(K(x \ (y \ 1),y) \ 1,z,u) = K(y,L(x,z,u) \ (y \ 1)). [hyper(3910,a,8476,a),flip(a)]. given #7697 (H,wt=21): 8479 L(K(x,y \ (x \ 1)),z,u) = K(x,L(y,z,u) \ (x \ 1)). [para(3871(a,1),8477(a,1,1))]. given #7698 (H,wt=21): 8480 K(x,L(x * y,z,u) \ 1) = K(x,L(y,z,u) \ (x \ 1)). [hyper(189,a,6776,a(flip),b,8479,a(flip)),flip(a)]. given #7699 (H,wt=25): 8481 K(x \ 1,L(y,z,u) \ ((x \ 1) \ 1)) = K(L(x,z,u) \ 1,y \ x). [hyper(189,a,7483,a(flip),b,8480,a(flip))]. given #7700 (H,wt=21): 8482 K(L(x,y,z) \ 1,u \ x) = K(x \ 1,L(u,y,z) \ x). [hyper(189,a,7439,a(flip),b,8481,a(flip))]. given #7701 (H,wt=25): 8483 K(L(x,y,z) \ 1,u \ (x * w)) = K(x \ 1,L(w \ u,y,z) \ x). [hyper(189,a,8109,a(flip),b,8482,a(flip)),flip(a)]. given #7702 (H,wt=28): 8484 K(x \ 1,L((y \ z) \ u,y \ z,y) \ x) = K(x \ 1,(y * (x \ u)) \ z). [hyper(189,a,7167,a(flip),b,8483,a(flip))]. given #7703 (H,wt=23): 8485 K(x \ 1,(y \ (z * u)) \ x) = K(x \ 1,(z * (x \ u)) \ y). [para(359(a,1),8484(a,1,2,1))]. given #7704 (H,wt=26): 8486 K(x \ 1,(y * (x \ z)) \ u) != w | K(x \ 1,(y * z) \ (x * u)) = w. [para(8485(a,1),8069(a,1))]. given #7705 (H,wt=52): 8046 K(R(K(x \ y,x),y,z),K(x \ y,x) * u) * R(K(x \ y,x) * K(u,K(x \ y,x)),y,z) = L((y * z) / ((x * (y / x)) * z),u,K(x \ y,x)). [para(5675(a,2),8045(a,2,1))]. given #7706 (H,wt=52): 8487 K(x,K(K(x \ y,x) * z,R(x \ y,y,u))) * R(K(x \ y,x) * K(z,K(x \ y,x)),y,u) = L((y * u) / ((x * (y / x)) * u),z,K(x \ y,x)). [para(7274(a,1),8046(a,1,1))]. given #7707 (H,wt=46): 8488 K(x,K(y,R(x \ z,z,u))) * R(K(x \ z,x) * K(y,K(x \ z,x)),z,u) = L((z * u) / ((x * (z / x)) * u),y,K(x \ z,x)). [para(7145(a,1),8487(a,1,1,2))]. given #7708 (H,wt=44): 8490 K(x,K(y,R(z,y,u))) * R(K(x \ y,x) * K(z,K(x \ y,x)),y,u) = L((y * u) / ((x * (y / x)) * u),z,K(x \ y,x)). [para(7273(a,1),8488(a,1,1))]. given #7709 (H,wt=41): 8491 L((x * y) / ((z * (x / z)) * y),u,K(z \ x,z)) = K(z,K(x,u)) * R(K(z \ x,z) * K(u,K(z \ x,z)),x,y). [para(7270(a,1),8490(a,1,1)),flip(a)]. given #7710 (H,wt=35): 8492 L((x * y) / ((z * (x / z)) * y),u,K(z \ x,z)) = K(z,K(x,u)) * R(K(z \ x,T(z,u)),x,y). [para(6021(a,1),8491(a,2,2,1))]. given #7711 (H,wt=32): 8494 L(R(K(x \ y,x),y,z),u,K(x \ y,x)) = K(x,K(y,u)) * R(K(x \ y,T(x,u)),y,z). [para(5675(a,1),8492(a,1,1))]. given #7712 (H,wt=25): 8495 K(x,K(y,z)) * R(K(x \ y,T(x,z)),y,u) = R(K(x \ y,x),y,u). [hyper(189,a,6507,a(flip),b,8494,a(flip))]. given #7713 (H,wt=25): 8497 K(x,K(y,z)) * L(K(x \ y,T(x,z)),u,y) = R(K(x \ y,x),y,u). [para(8462(a,1),8495(a,1,2))]. given #7714 (H,wt=17): 8498 R(K(x \ y,x),y,z) = L(K(x \ y,x),z,y). [hyper(8136,a,8497,a),flip(a)]. given #7715 (H,wt=14): 8499 R(K(x \ y,x),y,z) = K(x \ y,x). [hyper(189,a,8443,a(flip),b,8498,a)]. given #7716 (H,wt=14): 8501 K(R(x \ y,x,z),x) = K(x \ y,x). [hyper(189,a,7543,a(flip),b,8499,a(flip)),flip(a)]. given #7717 (H,wt=14): 8503 K(R(x,y,z),y) = K(y \ (y * x),y). [para(16(a,1),8501(a,1,1,1))]. given #7718 (H,wt=10): 8505 K(R(x,y,z),y) = K(x,y). [hyper(189,a,1215,a(flip),b,8503,a)]. given #7719 (H,wt=10): 8507 K(x,R(y,x,z)) = K(x,y). [hyper(6752,a,8505,a)]. given #7720 (H,wt=13): 8504 K(R(x,y,z),y) = K(R(x,y,u),y). [hyper(189,a,8503,a,b,8503,a)]. given #7721 (H,wt=14): 8506 K(R(x,y,z),T(y,u)) = K(x,T(y,u)). [hyper(8095,a,8505,a)]. given #7722 (H,wt=15): 8502 K(x / (y * z),z) = K(z \ (x / y),z). [hyper(189,a,8464,a(flip),b,8501,a(flip)),flip(a)]. given #7723 (H,wt=15): 8512 K(x,y / (z * x)) = K(x,x \ (y / z)). [hyper(189,a,7406,a(flip),b,8507,a(flip)),flip(a)]. given #7724 (H,wt=15): 8521 T(x,R(y,x,z)) = x * K(R(x,y,u),y). [para(8504(a,1),6754(a,1,2)),flip(a)]. given #7725 (H,wt=10): 8528 T(x,R(y,x,z)) = T(x,y). [hyper(189,a,6471,a(flip),b,8521,a)]. given #7726 (H,wt=15): 8527 K(x,y / (x * z)) = K(x,x \ (y / z)). [hyper(189,a,6757,a(flip),b,8512,a(flip)),flip(a)]. given #7727 (H,wt=15): 8533 T(x,R(y,x,z)) != u | x * K(x,y) = u. [para(8528(a,2),4414(a,1))]. given #7728 (H,wt=17): 8524 ((x * y) * z) \ ((y * x) * z) = K(y,T(x,z)). [hyper(189,a,7829,a,b,8506,a(flip)),flip(a)]. given #7729 (H,wt=17): 8525 K((T(x,y) \ z) / u,x) = K(x \ (z / u),x). [hyper(189,a,7425,a,b,8502,a(flip)),flip(a)]. given #7730 (H,wt=19): 8510 K(((x / y) * (z * y)) \ (x * (z * y)),z) = K(y,z). [hyper(8396,a,8507,a)]. given #7731 (H,wt=19): 8537 K(x,((y / z) * (z * x)) \ (y * (z * x))) = K(x,z). [hyper(189,a,7162,a(flip),b,8510,a(flip)),flip(a)]. given #7732 (H,wt=21): 8534 x * K(x,x \ (y / (z * u))) = T(x,y / ((x * z) * u)). [para(8527(a,1),8390(a,1,2))]. given #7733 (H,wt=19): 8539 T(x,y / ((x * z) * u)) = T(x,x \ (y / (z * u))). [hyper(4399,a,8534,a),flip(a)]. given #7734 (H,wt=28): 8532 T(R(x,y,z),(u * (y * z)) / ((x * y) * z)) = T(R(x,y,z),u / R(x,y,z)). [para(397(a,1),8528(a,1,2))]. given #7735 (H,wt=28): 8540 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = T(R(x,z,u),y / R(x,z,u)). [hyper(5484,a,8532,a)]. given #7736 (H,wt=28): 8541 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = T(R(x,z,u),R(x,z,u) \ y). [hyper(189,a,3533,a(flip),b,8540,a)]. given #7737 (H,wt=28): 8542 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = R(T(x,R(x,z,u) \ y),z,u). [hyper(189,a,45,a,b,8541,a)]. given #7738 (H,wt=28): 8543 R(T(x,x \ ((y * (z * u)) / (z * u))),z,u) = R(T(x,R(x,z,u) \ y),z,u). [para(8539(a,1),8542(a,1,1))]. given #7739 (H,wt=20): 8544 R(T(x,R(x,y,z) \ u),y,z) = R(T(x,x \ u),y,z). [para(18(a,1),8543(a,1,1,2,2)),flip(a)]. given #7740 (H,wt=17): 8545 x / R(T(y,y \ x),z,u) = R(y,z,u) \ x. [para(8544(a,1),233(a,1,2))]. given #7741 (H,wt=17): 8548 x / R(y \ x,z,u) = R(x / y,z,u) \ x. [para(497(a,1),8545(a,1,2,1))]. given #7742 (H,wt=17): 8550 (R(x / y,z,u) \ x) \ x = R(y \ x,z,u). [para(8548(a,1),69(a,1,1))]. given #7743 (H,wt=17): 8551 R((x \ y) \ y,z,u) = (R(x,z,u) \ y) \ y. [para(67(a,1),8550(a,1,1,1,1)),flip(a)]. given #7744 (H,wt=29): 8546 (R(x,y,z) * u) / (R(T(x,x \ w),y,z) * u) = K(R(x,y,z) \ w,R(x,y,z)). [para(8544(a,1),4613(a,1,2,1))]. given #7745 (H,wt=20): 8553 K(R(x,y,z) \ u,R(x,y,z)) = K(x \ u,R(x,y,z)). [hyper(189,a,4613,a(flip),b,8546,a(flip))]. given #7746 (H,wt=25): 8555 K(x \ (R(x,y,z) / u),R(x,y,z)) != w | K(u \ 1,R(x,y,z)) = w. [para(8553(a,1),4517(a,1))]. given #7747 (H,wt=30): 8536 K((T(x,y) \ z) / u,R(x,w,v5)) = R(x,w,v5) \ R(x * K(x \ (z / u),x),w,v5). [para(8525(a,1),4741(a,1,2,1,2)),flip(a)]. given #7748 (H,wt=23): 8556 K((T(x,y) \ z) / u,R(x,w,v5)) = K(x \ (z / u),R(x,w,v5)). [hyper(189,a,4741,a(flip),b,8536,a)]. given #7749 (H,wt=29): 8557 K(x \ (T(y,z) \ R(y,u,w)),R(y,u,w)) = K(y \ (R(y,u,w) / x),R(y,u,w)). [hyper(189,a,7413,a(flip),b,8556,a(flip)),flip(a)]. given #7750 (H,wt=24): 8559 K(x \ (T(y,z) \ R(y,u,w)),R(y,u,w)) = K(x \ 1,R(y,u,w)). [hyper(8555,a,8557,a(flip)),flip(a)]. given #7751 (H,wt=24): 8560 K((T(x,y) \ z) \ 1,R(x,u,w)) = K(z \ R(x,u,w),R(x,u,w)). [hyper(7799,a,8559,a),flip(a)]. given #7752 (H,wt=20): 8561 K(x \ R(y,z,u),R(y,z,u)) = K(x \ y,R(y,z,u)). [hyper(189,a,5569,a(flip),b,8560,a(flip))]. given #7753 (H,wt=24): 8562 K(x \ R(y,z,u),T(R(y,z,u),w)) = K(T(x,w) \ y,R(y,z,u)). [hyper(189,a,8301,a(flip),b,8561,a(flip)),flip(a)]. given #7754 (H,wt=24): 8563 K(x \ R(y,z,u),T(R(y,z,u),w)) = K(x \ y,R(T(y,w),z,u)). [hyper(189,a,8303,a(flip),b,8562,a)]. given #7755 (H,wt=24): 8564 K(x \ R(y,z,u),R(T(y,w),z,u)) = K(x \ y,R(T(y,w),z,u)). [para(45(a,2),8563(a,1,2))]. given #7756 (H,wt=26): 8565 K(x * R(y,z,u),R(T(y,w),z,u)) = K((x \ 1) \ y,R(T(y,w),z,u)). [hyper(189,a,7328,a(flip),b,8564,a(flip)),flip(a)]. given #7757 (H,wt=24): 8566 K(x * R(y,z,u),R(T(y,w),z,u)) = K(x * y,R(T(y,w),z,u)). [hyper(189,a,7328,a(flip),b,8565,a)]. given #7758 (H,wt=24): 8567 K(x * R(y,z,u),R(y,z,u)) = K(x * y,R(T(y,K(x,w)),z,u)). [hyper(189,a,6672,a(flip),b,8566,a(flip)),flip(a)]. given #7759 (H,wt=20): 8568 K(x * R(y,z,u),R(y,z,u)) = K(x * y,R(y,z,u)). [para(1827(a,1),8567(a,2,2,1))]. given #7760 (H,wt=31): 8552 R(((x * K(y,x)) \ y) \ y,z,u) = (R(x,z,u) \ ((R(x,z,u) * y) / R(x,z,u))) \ y. [para(4742(a,1),8551(a,2,1))]. given #7761 (H,wt=26): 8570 R(((x * K(y,x)) \ y) \ y,z,u) = (R(x,z,u) \ y) \ T(y,R(x,z,u)). [hyper(189,a,5017,a(flip),b,8552,a)]. given #7762 (H,wt=24): 8571 (R(x,y,z) \ u) \ T(u,R(x,y,z)) = R((x \ u) \ T(u,x),y,z). [para(5015(a,1),8570(a,1,1)),flip(a)]. given #7763 (H,wt=31): 8554 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(8553(a,1),4336(a,1,1,2))]. given #7764 (H,wt=28): 8573 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(4732(a,1),8554(a,1,1))]. given #7765 (H,wt=28): 8574 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(5484,a,8573,a)]. given #7766 (H,wt=25): 8575 L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = R(L(x,x \ u,x),y,z). [para(4336(a,1),8574(a,1,1)),flip(a)]. given #7767 (H,wt=25): 8576 L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = L(R(x,y,z),x \ u,x). [hyper(189,a,47,a(flip),b,8575,a)]. given #7768 (H,wt=31): 8569 T(R(x,y,z) * K(u * x,R(x,y,z)),u) = R(R(x,y,z),u,L(R(x,y,z),x \ 1,x)). [para(8568(a,1),5865(a,1,1,2))]. given #7769 (H,wt=28): 8578 T(R(x * K(y * x,x),z,u),y) = R(R(x,z,u),y,L(R(x,z,u),x \ 1,x)). [para(4732(a,1),8569(a,1,1))]. given #7770 (H,wt=28): 8579 T(R(x * K(x * y,x),z,u),y) = R(R(x,z,u),y,L(R(x,z,u),x \ 1,x)). [para(4617(a,1),8578(a,1,1,1,2))]. given #7771 (H,wt=28): 8580 R(T(x * K(x * y,x),y),z,u) = R(R(x,z,u),y,L(R(x,z,u),x \ 1,x)). [hyper(5484,a,8579,a)]. given #7772 (H,wt=23): 8581 R(R(x,y,z),u,L(R(x,y,z),x \ 1,x)) = R(R(x,u,x),y,z). [para(4626(a,1),8580(a,1,1)),flip(a)]. given #7773 (H,wt=35): 8572 (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(8571(a,1),8323(a,1,2))]. given #7774 (H,wt=34): 8582 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(3762(a,1),8572(a,1,2,1)),flip(a)]. given #7775 (H,wt=36): 8577 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(8576(a,1),1710(a,1,1,1)),flip(a)]. given #7776 (H,wt=29): 8583 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(189,a,1710,a(flip),b,8577,a)]. given #7777 (H,wt=29): 8584 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(45(a,2),8583(a,2,3))]. given #7778 (H,wt=41): 8538 K(((x \ 1) \ y) / y,((z / y) * ((x \ 1) \ T(y,x))) \ (z * (y * (((x \ 1) \ y) / y)))) = K(((x \ 1) \ y) / y,y). [para(3360(a,2),8537(a,1,2,1,2))]. given #7779 (H,wt=37): 8585 K(((x \ 1) \ y) / y,((z / y) * ((x \ 1) \ T(y,x))) \ (z * ((x \ 1) \ y))) = K(((x \ 1) \ y) / y,y). [hyper(189,a,8059,a(flip),b,8538,a(flip)),flip(a)]. given #7780 (H,wt=35): 8586 K((x \ 1) \ 1,((y / z) * ((x \ 1) \ T(z,x))) \ (y * ((x \ 1) \ z))) = K(((x \ 1) \ z) / z,z). [hyper(189,a,4767,a(flip),b,8585,a(flip)),flip(a)]. given #7781 (H,wt=35): 8587 K((x \ 1) \ 1,((y / z) * T(z,x)) \ ((x \ 1) * (y * ((x \ 1) \ z)))) = K(((x \ 1) \ z) / z,z). [hyper(8486,a,8586,a)]. given #7782 (H,wt=33): 8589 K((x \ 1) \ 1,(y * K(z,x)) \ ((x \ 1) * (y * ((x \ 1) \ z)))) = K(((x \ 1) \ z) / z,z). [para(5140(a,1),8587(a,1,2,1))]. given #7783 (H,wt=29): 8590 K(((x \ 1) \ y) / y,y) = K(x,(z * K(y,x)) \ ((x \ 1) * (z * ((x \ 1) \ y)))). [hyper(2659,a,8589,a),flip(a)]. given #7784 (H,wt=27): 8591 K(((x \ 1) \ y) / y,y) = K(x,(z * K(y,x)) \ (x \ (z * ((x \ 1) \ y)))). [hyper(189,a,8060,a(flip),b,8590,a)]. given #7785 (H,wt=23): 8592 K(((x \ 1) \ y) / y,y) = K(x,z \ (x \ (z * ((x \ 1) \ y)))). [hyper(189,a,6422,a(flip),b,8591,a)]. given #7786 (H,wt=16): 8594 K(((x \ 1) \ y) / y,y) = K(x,L(y,x,z)). [hyper(189,a,7490,a(flip),b,8592,a)]. given #7787 (H,wt=10): 8595 K(x,L(y,x,z)) = K(x,y). [hyper(4771,a,8594,a),flip(a)]. given #7788 (H,wt=12): 8598 T(x,L(y,x,z)) = x * K(x,y). [para(8595(a,1),4396(a,2,2))]. given #7789 (H,wt=10): 8601 T(x,L(y,x,z)) = T(x,y). [hyper(189,a,4396,a,b,8598,a)]. given #7790 (H,wt=13): 8597 K(x,L(y,x,z)) != u | K(x,y) = u. [para(8594(a,1),4771(a,1))]. given #7791 (H,wt=15): 8604 T(x,y \ (x \ (y * z))) = T(x,x \ z). [hyper(189,a,6552,a(flip),b,8601,a(flip)),flip(a)]. given #7792 (H,wt=15): 8605 L(x,y,z) * T(y,x) = y * L(x,y,z). [para(8601(a,1),113(a,1,2))]. given #7793 (H,wt=18): 8608 L(K(x,y),z * x,u) != w | K(L(x,z,u),y) = w. [para(6770(a,1),8597(a,1))]. given #7794 (H,wt=18): 8609 K(x,y \ (x \ z)) != u | K(x,x \ (y \ z)) = u. [para(7201(a,1),8597(a,1))]. given #7795 (H,wt=19): 8614 K(L(x,y,z),L(u,w,x)) != v5 | K(L(x,y,z),u) = v5. [para(6770(a,2),8608(a,1))]. given #7796 (H,wt=28): 8607 T(L(x,y,z),(z * (y * x)) \ ((z * y) * u)) = T(L(x,y,z),L(x,y,z) \ u). [para(368(a,1),8601(a,1,2))]. given #7797 (H,wt=28): 8615 T(L(x,y,z),(z * (y * x)) \ ((z * y) * u)) = L(T(x,L(x,y,z) \ u),y,z). [hyper(189,a,43,a,b,8607,a)]. given #7798 (H,wt=28): 8616 L(T(x,(y * (z * x)) \ ((y * z) * u)),z,y) = L(T(x,L(x,z,y) \ u),z,y). [hyper(189,a,43,a,b,8615,a(flip)),flip(a)]. given #7799 (H,wt=30): 8612 ((x * T(y,x)) * L(x,y,z)) \ (x * (y * L(x,y,z))) = K(L(x,y,z),x * T(y,x)). [para(8605(a,1),965(a,1,2,2))]. given #7800 (H,wt=28): 8617 ((x * y) * L(y,x,z)) \ (y * (x * L(y,x,z))) = K(L(y,x,z),y * T(x,y)). [para(113(a,1),8612(a,1,1,1))]. given #7801 (H,wt=19): 8618 K(L(x,y,z),x * T(y,x)) = K(x,y * L(x,y,z)). [hyper(1256,a,8617,a),flip(a)]. given #7802 (H,wt=17): 8619 K(L(x,y,z),y * x) = K(x,y * L(x,y,z)). [para(113(a,1),8618(a,1,2))]. given #7803 (H,wt=14): 8620 K(x,y * L(x,y,z)) = K(x,x * y). [hyper(5547,a,8619,a),flip(a)]. given #7804 (H,wt=22): 8622 L(K(x,x * y),z * x,u) = K(L(x,z,u),y * L(x,y,w)). [para(8620(a,1),5541(a,1,1))]. given #7805 (H,wt=20): 8623 K(L(x,y,z),u * L(x,u,w)) = K(L(x,y,z),x * u). [hyper(8608,a,8622,a),flip(a)]. given #7806 (H,wt=17): 8624 L(K(L(x,y,z),x * y),y,z) = K(x,x * y). [para(8623(a,1),7092(a,1,1))]. given #7807 (H,wt=14): 8625 L(K(x,x * y),y,z) = K(x,x * y). [para(6617(a,1),8624(a,1,1))]. given #7808 (H,wt=15): 8628 K(x,y \ (z * x)) = K(x,x * (y \ z)). [hyper(189,a,7683,a(flip),b,8625,a(flip)),flip(a)]. given #7809 (H,wt=15): 8631 K(x,(y \ z) \ x) = K(x,x * (z \ y)). [hyper(5927,a,8628,a)]. given #7810 (H,wt=15): 8633 K(x,y \ (x * z)) = K(x,x * (y \ z)). [hyper(189,a,7617,a(flip),b,8628,a(flip)),flip(a)]. given #7811 (H,wt=15): 8634 K(x,x * (y \ (x \ z))) = K(x,y \ z). [hyper(189,a,7616,a(flip),b,8628,a(flip))]. given #7812 (H,wt=16): 8629 1 / L(K(x,x * y),y,z) = K(x * y,x). [para(8625(a,2),3875(a,1,2))]. given #7813 (H,wt=14): 8638 L(K(x * y,x),y,z) = K(x * y,x). [hyper(5894,a,8629,a)]. given #7814 (H,wt=15): 8640 K(x * ((y * z) \ y),x) = K(z \ x,x). [hyper(189,a,7698,a(flip),b,8638,a(flip))]. given #7815 (H,wt=15): 8642 K((x \ y) \ z,z) = K(z * (y \ x),z). [para(17(a,1),8640(a,1,1,2,1)),flip(a)]. given #7816 (H,wt=15): 8645 K((x / y) \ z,z) = K(z * (y / x),z). [para(8452(a,1),8640(a,1,1,2)),flip(a)]. given #7817 (H,wt=15): 8646 K(x \ (y * z),z) = K(z * (x \ y),z). [hyper(189,a,5535,a(flip),b,8642,a(flip)),flip(a)]. given #7818 (H,wt=15): 8647 K((x \ y) \ z,x) = K(x * (y \ z),x). [hyper(6988,a,8646,a)]. given #7819 (H,wt=16): 8643 K(x * L(y \ 1,y,z),x) = K(y \ x,x). [para(140(a,2),8640(a,1,1,2))]. given #7820 (H,wt=21): 8627 (x * (y \ T(z * y,y))) \ (x * T(z,y)) = K(y,y * z). [hyper(189,a,7135,a,b,8625,a(flip)),flip(a)]. given #7821 (H,wt=21): 8639 1 / ((x * (y \ T(y * z,y))) \ (x * z)) = K(y * z,y). [para(5923(a,2),8629(a,1,2))]. given #7822 (H,wt=22): 8644 K(x * ((y * (z * u)) \ (y * z)),x) = K(L(u,z,y) \ x,x). [para(102(a,1),8640(a,1,1,2,1))]. given #7823 (H,wt=23): 8635 L(K(x,x * (y \ z)),u * x,w) = K(L(x,u,w),y \ (z * x)). [para(8628(a,1),5541(a,1,1))]. given #7824 (H,wt=21): 8653 K(L(x,y,z),u \ (w * x)) = K(L(x,y,z),x * (u \ w)). [hyper(8608,a,8635,a),flip(a)]. given #7825 (H,wt=21): 8654 K(L(x,y,z),u \ (x * w)) = K(L(x,y,z),x * (u \ w)). [hyper(7058,a,8653,a)]. given #7826 (H,wt=24): 8637 L(K(x,x * (y \ (z \ u))),z \ u,z) = K(x,(z * (x \ y)) \ u). [para(8633(a,1),6240(a,1,1))]. given #7827 (H,wt=24): 8649 L(K(x * (y \ (z \ u)),x),z \ u,z) = K((z * (x \ y)) \ u,x). [para(8647(a,1),5528(a,1,1))]. given #7828 (H,wt=24): 8655 K(L(x,y,z),x * (u \ L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). [hyper(189,a,7703,a(flip),b,8654,a(flip))]. given #7829 (H,wt=25): 8652 T(K(x * y,T(x,z)),z) = 1 / ((u * (x \ T(x * y,x))) \ (u * y)). [hyper(189,a,6023,a,b,8639,a),flip(a)]. given #7830 (H,wt=28): 8648 L(x * K(x * (y \ z),x),u,w) / L(x,u,w) = K(y \ (z * x),L(x,u,w)). [para(8646(a,1),4737(a,1,1,1,2))]. given #7831 (H,wt=21): 8657 K(x \ (y * z),L(z,u,w)) = K(z * (x \ y),L(z,u,w)). [hyper(4883,a,8648,a),flip(a)]. given #7832 (H,wt=21): 8658 K((x \ y) \ z,L(z,u,w)) = K(z * (y \ x),L(z,u,w)). [hyper(189,a,5920,a,b,8657,a(flip)),flip(a)]. given #7833 (H,wt=29): 8656 T(K(x,K(y,z)) * K(y * z,y),x) = 1 / ((u * (y \ T(y * z,y))) \ (u * z)). [para(5996(a,2),8652(a,1,1))]. given #7834 (H,wt=29): 8659 1 / ((x * (y \ T(y * z,y))) \ (x * z)) = K(u,K(y,z)) * K(y * z,T(y,u)). [hyper(6349,a,8656,a),flip(a)]. given #7835 (H,wt=18): 8660 L(K(x * y,T(y,z)),x,z) = K(y * x,T(y,z)). [hyper(8287,a,8659,a)]. given #7836 (H,wt=17): 8661 K((x / (x * y)) \ z,z) = K(z * y,T(z,x)). [hyper(189,a,7733,a(flip),b,8660,a(flip)),flip(a)]. given #7837 (H,wt=17): 8663 K(x * ((y * z) / y),x) = K(x * z,T(x,y)). [hyper(189,a,8645,a(flip),b,8661,a(flip)),flip(a)]. given #7838 (H,wt=17): 8664 K(x * (y \ z),T(x,y)) = K(x * (z / y),x). [para(17(a,1),8663(a,1,1,2,1)),flip(a)]. given #7839 (H,wt=17): 8665 K(x * (y \ z),T(x,z)) = K(x * (z / y),x). [hyper(189,a,7585,a,b,8664,a(flip)),flip(a)]. given #7840 (H,wt=22): 8666 K(x * (y / z),x) * K(x,T(z \ y,y)) = a(x,z \ y,x). [para(8665(a,1),8029(a,1,1))]. given #7841 (H,wt=20): 8667 K(x * (y / z),x) * K(x,y / z) = a(x,z \ y,x). [para(6060(a,1),8666(a,1,2))]. given #7842 (H,wt=13): 8668 a(x,y / z,x) = a(x,z \ y,x). [hyper(7954,a,8667,a)]. given #7843 (H,wt=30): 8651 L(K(x \ ((y \ 1) \ x),(x \ ((y \ 1) \ x)) * T(x,y)),T(x,y),z) = K(y,y * x). [hyper(189,a,8274,a,b,8627,a(flip)),flip(a)]. given #7844 (H,wt=30): 8670 L(K(x \ ((y \ 1) \ x),(x \ ((y \ 1) \ x)) * T(x,y)),T(x,y),z) = K(y,x * y). [hyper(189,a,4576,a,b,8651,a)]. given #7845 (H,wt=24): 8671 L(K(x \ ((y \ 1) \ x),(y \ 1) \ x),T(x,y),z) = K(y,x * y). [para(3755(a,1),8670(a,1,1,2))]. given #7846 (H,wt=22): 8672 L(K((x \ 1) \ 1,(x \ 1) \ y),T(y,x),z) = K(x,y * x). [para(4262(a,1),8671(a,1,1))]. given #7847 (H,wt=18): 8673 L(K(x,(x \ 1) \ y),T(y,x),z) = K(x,y * x). [para(2648(a,1),8672(a,1,1))]. given #7848 (H,wt=16): 8674 L(K(x,x * y),T(y,x),z) = K(x,y * x). [para(6142(a,1),8673(a,1,1))]. given #7849 (H,wt=16): 8675 L(K(x,y * x),T(y,x),z) = K(x,y * x). [para(4576(a,2),8674(a,1,1))]. given #7850 (H,wt=14): 8676 L(K(x,y * x),y,z) = K(x,y * x). [hyper(189,a,6612,a(flip),b,8675,a(flip)),flip(a)]. given #7851 (H,wt=16): 8677 L(K(x * y,y),x,z) = 1 / K(y,x * y). [para(8676(a,1),5892(a,1,2)),flip(a)]. given #7852 (H,wt=14): 8678 L(K(x * y,y),x,z) = K(x * y,y). [hyper(189,a,3875,a(flip),b,8677,a)]. given #7853 (H,wt=27): 8679 L(K(x * L(y,z,u),x),L(y,z,u),u * z) = L(K(y * x,x),z * y,u). [para(8678(a,1),5856(a,1,1)),flip(a)]. given #7854 (H,wt=19): 8680 L(K(x * y,y),z * x,u) = K(y * L(x,z,u),y). [hyper(189,a,8638,a(flip),b,8679,a(flip))]. given #7855 (H,wt=28): 8683 L(K((x \ (y \ z)) * u,u),x * (x \ (y \ z)),y) = K(u * ((y * x) \ z),u). [para(183(a,1),8680(a,2,1,2))]. given #7856 (H,wt=28): 8685 L(K(x * (y \ (z \ u)),x),y * (y \ (z \ u)),z) = K(x * ((z * y) \ u),x). [para(4617(a,1),8683(a,1,1))]. given #7857 (H,wt=24): 8686 L(K(x * (y \ (z \ u)),x),z \ u,z) = K(x * ((z * y) \ u),x). [para(17(a,1),8685(a,1,2))]. given #7858 (H,wt=19): 8687 K((x * (y \ z)) \ u,y) = K(y * ((x * z) \ u),y). [hyper(189,a,8649,a(flip),b,8686,a(flip)),flip(a)]. given #7859 (H,wt=19): 8689 K(x * ((y * (x * z)) \ u),x) = K((y * z) \ u,x). [para(16(a,1),8687(a,1,1,1,2)),flip(a)]. given #7860 (H,wt=32): 8690 L(x * K(x * ((y * z) \ u),x),w,v5) \ L(x,w,v5) = K(L(x,w,v5),(y * (x \ z)) \ u). [para(8687(a,1),4738(a,1,1,1,2))]. given #7861 (H,wt=25): 8691 K(L(x,y,z),(u * (x \ w)) \ v5) = K(L(x,y,z),x * ((u * w) \ v5)). [hyper(4884,a,8690,a),flip(a)]. given #7862 (H,wt=28): 8692 K(L(x,y,z),(u * (x \ w)) \ v5) != v6 | K(L(x,y,z),x * ((u * w) \ v5)) = v6. [para(8690(a,1),4884(a,1))]. given #7863 (H,wt=36): 8684 L(K(L(x \ 1,x,y) * z,z),(y * x) * L(x \ 1,x,y),u) = K(z * ((u * (y * x)) \ (u * y)),z). [para(309(a,1),8680(a,2,1,2))]. given #7864 (H,wt=36): 8693 L(K(x * L(y \ 1,y,z),x),(z * y) * L(y \ 1,y,z),u) = K(x * ((u * (z * y)) \ (u * z)),x). [para(4617(a,1),8684(a,1,1))]. given #7865 (H,wt=31): 8694 L(K(x \ y,y),(z * x) * L(x \ 1,x,z),u) = K(y * ((u * (z * x)) \ (u * z)),y). [para(8643(a,1),8693(a,1,1))]. given #7866 (H,wt=22): 8695 K(x * ((y * (z * u)) \ (y * z)),x) = L(K(u \ x,x),z,y). [para(278(a,1),8694(a,1,2)),flip(a)]. given #7867 (H,wt=17): 8697 L(K(x \ y,y),z,u) = K(L(x,z,u) \ y,y). [hyper(189,a,8644,a(flip),b,8695,a(flip))]. given #7868 (H,wt=19): 8698 K(L(x,y,z) \ u,u) \ 1 = L(K(u,x \ u),y,z). [para(8697(a,1),5890(a,1,1))]. given #7869 (H,wt=17): 8699 L(K(x,y \ x),z,u) = K(x,L(y,z,u) \ x). [hyper(3872,a,8698,a),flip(a)]. given #7870 (H,wt=21): 8700 L(K(x,x * (y \ z)),u,w) = K(x,L(z \ y,u,w) \ x). [para(8631(a,1),8699(a,1,1))]. given #7871 (H,wt=24): 8701 K(x,L((y \ z) \ u,y \ z,y) \ x) = K(x,(y * (x \ u)) \ z). [hyper(189,a,8637,a(flip),b,8700,a(flip))]. given #7872 (H,wt=19): 8702 K(x,(y \ (z * u)) \ x) = K(x,(z * (x \ u)) \ y). [para(359(a,1),8701(a,1,2,1))]. given #7873 (H,wt=19): 8703 K(x,(y * (x \ z)) \ u) = K(x,x * ((y * z) \ u)). [hyper(189,a,8631,a(flip),b,8702,a(flip))]. given #7874 (H,wt=19): 8705 K(x,(y * (z / x)) \ u) = K(x,x * ((y * z) \ u)). [hyper(6431,a,8703,a)]. given #7875 (H,wt=19): 8706 K(x,(y * (x \ z)) \ (x \ u)) = K(x,(y * z) \ u). [hyper(189,a,8634,a(flip),b,8703,a)]. given #7876 (H,wt=19): 8707 K(x,x * ((y * (x * z)) \ u)) = K(x,(y * z) \ u). [para(16(a,1),8703(a,1,2,1,2)),flip(a)]. given #7877 (H,wt=19): 8708 K(x,x \ ((y * (x \ z)) \ u)) = K(x,(y * z) \ u). [hyper(8609,a,8706,a)]. given #7878 (H,wt=19): 8709 K(x,(y * (x * z)) \ u) = K(x,(y * z) \ (x \ u)). [para(16(a,1),8706(a,1,2,1,2)),flip(a)]. given #7879 (H,wt=27): 8713 K(L(x,y,z),x \ ((u * (x \ w)) \ v5)) = L(K(x,(u * w) \ v5),y * x,z). [para(8708(a,1),5541(a,1,1)),flip(a)]. given #7880 (H,wt=28): 8714 K(L(x,y,z),x \ ((u * (x \ w)) \ v5)) != v6 | K(L(x,y,z),(u * w) \ v5) = v6. [para(8713(a,2),8608(a,1))]. given #7881 (H,wt=35): 8712 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(5073(a,1),8708(a,1,2,2,1,2))]. given #7882 (H,wt=37): 8636 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(189,a,7696,a(flip),b,8633,a(flip)),flip(a)]. given #7883 (H,wt=41): 8710 ((x * (y * z)) \ u) \ T(y * ((x * (y * z)) \ u),K(w,y)) = T(y,(x * (y * z)) \ u) * K(w,K(y,(x * z) \ u)). [para(8707(a,1),7390(a,1,2,2)),flip(a)]. given #7884 (H,wt=41): 8711 K(x,(y * z) \ u) * T(x * K(((y * (x * z)) \ u) * x,x),(y * (x * z)) \ u) = T(x,T((y * (x * z)) \ u,x)). [para(8707(a,1),7408(a,1,1))]. given #7885 (H,wt=41): 8715 ((x * (y * z)) \ u) \ T(y * ((x * (y * z)) \ u),K(w,y)) = K(y,(x * (y * z)) \ u) * T(y,K(w,(x * z) \ u)). [hyper(189,a,5975,a,b,8710,a)]. given #7886 (H,wt=41): 8716 K(x,(y * z) \ u) * T(x * K(x * ((y * (x * z)) \ u),x),(y * (x * z)) \ u) = T(x,T((y * (x * z)) \ u,x)). [para(4617(a,1),8711(a,1,2,1,2))]. given #7887 (H,wt=37): 8718 K(x,(y * z) \ u) * T(x * K((y * z) \ u,x),(y * (x * z)) \ u) = T(x,T((y * (x * z)) \ u,x)). [para(8689(a,1),8716(a,1,2,1,2))]. given #7888 (H,wt=27): 8719 T(x,T((y * (x * z)) \ u,(y * z) \ u)) = T(x,T((y * (x * z)) \ u,x)). [hyper(6378,a,8718,a)]. given #7889 (H,wt=28): 8720 T(x,T((y * (x * z)) \ u,(y * z) \ u)) != w | T(x,(y * (x * z)) \ u) = w. [para(8719(a,2),3594(a,1))]. given #7890 (H,wt=41): 8717 ((x * (y * z)) \ u) \ T(y * ((x * (y * z)) \ u),K(w,y)) = K(y,(x * z) \ (y \ u)) * T(y,K(w,(x * z) \ u)). [para(8709(a,1),8715(a,2,1))]. given #7891 (H,wt=33): 8721 ((x * (y * z)) \ u) \ T(y * ((x * (y * z)) \ u),K(w,y)) = T(y,T((x * z) \ (y \ u),w)). [hyper(189,a,7661,a(flip),b,8717,a)]. given #7892 (H,wt=33): 8722 ((x * (y * z)) \ u) \ T(y * ((x * (y * z)) \ u),K(y,w)) = T(y,T((x * z) \ (y \ u),w)). [para(6118(a,1),8721(a,1,2))]. given #7893 (H,wt=23): 8723 T(x,T((y * (x * z)) \ u,w)) = T(x,T((y * z) \ (x \ u),w)). [hyper(7221,a,8722,a)]. given #7894 (H,wt=25): 8724 T(x,T((y * z) \ (x \ u),(y * z) \ u)) = T(x,(y * (x * z)) \ u). [hyper(8720,a,8723,a),flip(a)]. given #7895 (H,wt=19): 8725 T(x,(y * (x * z)) \ u) = T(x,(y * z) \ (x \ u)). [hyper(189,a,7605,a(flip),b,8724,a(flip))]. given #7896 (H,wt=19): 8726 T(x,(y * (z * x)) \ u) = T(x,(y * z) \ (x \ u)). [hyper(189,a,6842,a,b,8725,a(flip)),flip(a)]. given #7897 (H,wt=28): 8727 L(T(x,(y * z) \ (x \ ((y * z) * u))),z,y) = L(T(x,L(x,z,y) \ u),z,y). [para(8726(a,1),8616(a,1,1))]. given #7898 (H,wt=20): 8728 L(T(x,L(x,y,z) \ u),y,z) = L(T(x,x \ u),y,z). [para(8604(a,1),8727(a,1,1)),flip(a)]. given #7899 (H,wt=29): 8729 (L(x,y,z) \ u) / (L(T(x,x \ w),y,z) \ u) = K(L(x,y,z),L(x,y,z) \ w). [para(8728(a,1),4610(a,1,2,1))]. given #7900 (H,wt=20): 8731 K(L(x,y,z),L(x,y,z) \ u) = K(L(x,y,z),x \ u). [hyper(189,a,4610,a(flip),b,8729,a(flip))]. given #7901 (H,wt=32): 8732 K(L(x,y,z),x \ ((u * (x \ (1 / L(x,y,z)))) \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). [hyper(189,a,8712,a(flip),b,8731,a(flip))]. given #7902 (H,wt=28): 8733 K(L(x,y,z),(u * (1 / L(x,y,z))) \ w) = K(L(x,y,z),(u * (1 / x)) \ w). [hyper(8714,a,8732,a)]. given #7903 (H,wt=28): 8734 K(L(x,y,z),L(x,y,z) * ((u * 1) \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). [hyper(189,a,8705,a(flip),b,8733,a(flip)),flip(a)]. given #7904 (H,wt=26): 8735 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). [para(15(a,1),8734(a,1,2,2,1))]. given #7905 (H,wt=26): 8736 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),(u * (x \ 1)) \ w). [hyper(189,a,7448,a(flip),b,8735,a)]. given #7906 (H,wt=26): 8737 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),x * ((u * 1) \ w)). [hyper(189,a,8691,a(flip),b,8736,a)]. given #7907 (H,wt=24): 8738 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),x * (u \ w)). [para(15(a,1),8737(a,2,2,2,1))]. given #7908 (H,wt=34): 8739 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(189,a,8636,a,b,8738,a(flip)),flip(a)]. given #7909 (H,wt=27): 8740 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(189,a,8655,a(flip),b,8739,a)]. given #7910 (H,wt=20): 8742 K(L(x,y,z),u \ L(x,y,z)) = K(L(x,y,z),u \ x). [para(2794(a,1),8740(a,1,2))]. given #7911 (H,wt=24): 8743 K(x \ L(y,z,u),L(y,z,u)) = (w * K(L(y,z,u),x \ y)) \ w. [para(8742(a,1),3918(a,1,1,2)),flip(a)]. given #7912 (H,wt=20): 8744 K(x \ L(y,z,u),L(y,z,u)) = K(x \ y,L(y,z,u)). [hyper(189,a,3918,a(flip),b,8743,a)]. given #7913 (H,wt=31): 8745 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(8744(a,1),5445(a,1,1,2))]. given #7914 (H,wt=31): 8746 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(8658(a,1),8745(a,1,1,2))]. given #7915 (H,wt=29): 8747 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(58(a,1),8746(a,1,1,2,1,2))]. given #7916 (H,wt=26): 8748 T(L(x * K(x * y,x),z,u),y) = y \ T(L(x,z,u) * y,L(x,z,u)). [para(4729(a,1),8747(a,1,1))]. given #7917 (H,wt=26): 8749 L(T(x * K(x * y,x),y),z,u) = y \ T(L(x,z,u) * y,L(x,z,u)). [hyper(189,a,43,a,b,8748,a(flip)),flip(a)]. given #7918 (H,wt=21): 8750 x \ T(L(y,z,u) * x,L(y,z,u)) = L(R(y,x,y),z,u). [para(4626(a,1),8749(a,1,1)),flip(a)]. given #7919 (H,wt=18): 8751 R(L(x,y,z),u,L(x,y,z)) = L(R(x,u,x),y,z). [hyper(3672,a,8750,a)]. given #7920 (H,wt=23): 8752 (x * y) * L(R(z,u,z),y,x) = x * (y * R(z,u,L(z,y,x))). [para(8751(a,1),351(a,1,2))]. given #7921 (H,wt=16): 8753 x * R(y,z,L(y,x,u)) = x * R(y,z,y). [hyper(340,a,8752,a),flip(a)]. given #7922 (H,wt=12): 8754 R(x,y,L(x,z,u)) = R(x,y,x). [hyper(260,a,8753,a),flip(a)]. given #7923 (H,wt=18): 8758 R(R(x,y,z),u,R(x,y,z)) = R(R(x,u,x),y,z). [hyper(189,a,8581,a(flip),b,8754,a(flip))]. given #7924 (H,wt=18): 8760 (x / y) * R(y,z,y) = x * a(y,z,L(y,u,w)). [para(8754(a,1),8025(a,1,2))]. given #7925 (H,wt=12): 8763 a(x,y,L(x,z,u)) = a(x,y,x). [hyper(8329,a,8760,a),flip(a)]. given #7926 (H,wt=23): 8762 (R(x,y,R(x,z,u)) * z) * u = R(R(x,y,x),z,u) * (z * u). [para(8758(a,1),382(a,1,1)),flip(a)]. given #7927 (H,wt=20): 8766 (R(x,y,R(x,z,u)) * z) * u = (R(x,y,x) * z) * u. [hyper(189,a,110,a(flip),b,8762,a)]. given #7928 (H,wt=26): 8767 (R(T(x,y),z,T(x,y)) * u) * w = (R(T(x,y),z,R(x,u,w)) * u) * w. [para(7411(a,1),8766(a,1,1,1)),flip(a)]. given #7929 (H,wt=30): 8765 (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(8758(a,1),8760(a,1,2))]. given #7930 (H,wt=53): 8178 (x * (K(y,z) * K(u,y))) / T(((K(y,z) * K(u,y)) \ x) * (K(y,z) * K(u,y)),K(y,u) * K(z,y)) = T(K(y,z) * K(u,y),(K(y,z) * K(u,y)) \ x). [para(8174(a,1),4022(a,1,2))]. given #7931 (H,wt=53): 8768 (x * (K(y,z) * K(u,y))) / T((K(z,y) * (K(y,u) * x)) * (K(y,z) * K(u,y)),K(y,u) * K(z,y)) = T(K(y,z) * K(u,y),(K(y,z) * K(u,y)) \ x). [para(8169(a,1),8178(a,1,2,1,1))]. given #7932 (H,wt=49): 8769 (x * (K(y,z) * K(u,y))) / T(T((K(y,u) * x) * K(u,y),K(y,z)),K(y,u) * K(z,y)) = T(K(y,z) * K(u,y),(K(y,z) * K(u,y)) \ x). [para(7761(a,1),8768(a,1,2,1))]. given #7933 (H,wt=45): 8770 (x * (K(y,z) * K(u,y))) / T(T(T(x,K(y,u)),K(y,z)),K(y,u) * K(z,y)) = T(K(y,z) * K(u,y),(K(y,z) * K(u,y)) \ x). [para(6115(a,1),8769(a,1,2,1,1))]. given #7934 (H,wt=45): 8771 (x * (K(y,z) * K(u,y))) / T(T(x,K(y,z) * K(u,y)),K(y,u) * K(z,y)) = T(K(y,z) * K(u,y),(K(y,z) * K(u,y)) \ x). [para(8164(a,1),8770(a,1,2,1))]. given #7935 (H,wt=29): 8772 T(K(x,y) * K(z,x),(K(x,y) * K(z,x)) \ u) = (u * (K(x,y) * K(z,x))) / u. [para(8205(a,1),8771(a,1,2)),flip(a)]. given #7936 (H,wt=27): 8773 T(K(x,y) * K(z,x),(K(x,y) * K(z,x)) \ u) = T(K(x,y) * K(z,x),u). [hyper(189,a,8212,a(flip),b,8772,a)]. given #7937 (H,wt=27): 8774 T(K(x,y) * K(z,x),K(y,x) * (K(x,z) * u)) = T(K(x,y) * K(z,x),u). [para(8169(a,1),8773(a,1,2))]. given #7938 (H,wt=23): 8775 T(K(x,y) * K(z,x),K(x,z) * u) = T(K(x,y) * K(z,x),u). [hyper(189,a,8370,a(flip),b,8774,a(flip)),flip(a)]. given #7939 (H,wt=21): 8776 (K(x,y) * z) \ (K(x,u) * z) = T(K(x,u) * K(y,x),z). [hyper(189,a,8181,a(flip),b,8775,a(flip)),flip(a)]. given #7940 (H,wt=21): 8777 K(x,T(y,z)) * K(u,T(x,z)) = T(K(x,y) * K(u,x),z). [hyper(189,a,6736,a(flip),b,8776,a(flip)),flip(a)]. given #7941 (H,wt=25): 8778 K(x,T(y,z)) * (K(u,T(x,z)) * w) = T(K(x,y) * K(u,x),z) * w. [para(8777(a,1),8168(a,1,1)),flip(a)]. given #7942 (H,wt=32): 8779 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(189,a,7741,a(flip),b,8778,a(flip))]. given #7943 (H,wt=25): 8780 R(T(x,y),z,R(x,u,w)) * (T(x,y) \ v5) = a(x,z,R(x,u,w)) * v5. [para(8184(a,1),8779(a,1,1)),flip(a)]. given #7944 (H,wt=54): 4948 R(T(x,y) * K(T(y * L(x,z,u),T(x,y)),T(x,y)),w,v5) * (((x * y) * L(x,z,u)) / T(x,y)) = (((x * y) * L(x,z,u)) / T(x,y)) * R(T(x,y),w,v5). [para(1278(a,1),4334(a,1,1,1,2,1))]. given #7945 (H,wt=50): 8782 R(T(x,y) * K(y * L(x,z,u),T(x,y)),w,v5) * (((x * y) * L(x,z,u)) / T(x,y)) = (((x * y) * L(x,z,u)) / T(x,y)) * R(T(x,y),w,v5). [para(3876(a,1),4948(a,1,1,1,2))]. given #7946 (H,wt=43): 8783 R(R(x,y,L(x,z,u)),w,v5) * (((x * y) * L(x,z,u)) / T(x,y)) = (((x * y) * L(x,z,u)) / T(x,y)) * R(T(x,y),w,v5). [para(5048(a,1),8782(a,1,1,1))]. given #7947 (H,wt=37): 8784 R(R(x,y,L(x,z,u)),w,v5) * (y * L(x,z,u)) = (((x * y) * L(x,z,u)) / T(x,y)) * R(T(x,y),w,v5). [para(1271(a,1),8783(a,1,2))]. given #7948 (H,wt=31): 8785 (((x * y) * L(x,z,u)) / T(x,y)) * R(T(x,y),w,v5) = (R(x,w,v5) * y) * L(x,z,u). [hyper(639,a,8784,a),flip(a)]. given #7949 (H,wt=25): 8786 (x * L(y,z,u)) * R(T(y,x),w,v5) = (R(y,w,v5) * x) * L(y,z,u). [para(1271(a,1),8785(a,1,1))]. given #7950 (H,wt=33): 8787 (x * L(y,z,u)) * a(T(y,y \ x),w,T(y,y \ x)) = (R(y,w,y) * (y \ x)) * L(y,z,u). [hyper(189,a,8355,a,b,8786,a(flip)),flip(a)]. given #7951 (H,wt=31): 8788 (x * L(y,z,u)) * a(T(y,y \ x),w,T(y,y \ x)) = (x * a(y,w,y)) * L(y,z,u). [para(8322(a,1),8787(a,2,1))]. given #7952 (H,wt=31): 8789 (x * L(y,z,u)) * a(T(y,y \ x),w,T(y,y \ x)) = x * (a(y,w,y) * L(y,z,u)). [hyper(189,a,8354,a(flip),b,8788,a)]. given #7953 (H,wt=23): 8790 (x * L(y,z,u)) * a(y,w,y) = x * (a(y,w,y) * L(y,z,u)). [para(8003(a,1),8789(a,1,2))]. given #7954 (H,wt=39): 8791 (x * (a(y,z,y) * L(y,u,w))) \ ((x * (a(y,z,y) * L(y,u,w))) * a(y,z,y)) = L(a(y,z,y),L(y,u,w),x). [para(8790(a,1),7739(a,1,1))]. given #7955 (H,wt=18): 8793 L(a(x,y,x),L(x,z,u),w) != v5 | a(x,y,x) = v5. [para(8791(a,1),237(a,1)),flip(b)]. given #7956 (H,wt=57): 8231 ((((x \ L(x,y,z)) * u) / (((L(x,y,z) \ x) * (x \ L(x,y,z))) * u)) \ 1) \ 1 = K((L(x,y,z) \ x) \ 1,L(x,y,z) \ x) * (((x \ L(x,y,z)) * u) / (1 * u)). [para(8229(a,1),5661(a,1,2,2,1)),flip(a)]. given #7957 (H,wt=55): 8794 ((((x \ L(x,y,z)) * u) / (((L(x,y,z) \ x) * (x \ L(x,y,z))) * u)) \ 1) \ 1 = K(x \ L(x,y,z),L(x,y,z) \ x) * (((x \ L(x,y,z)) * u) / (1 * u)). [para(2619(a,1),8231(a,2,1))]. given #7958 (H,wt=53): 8795 ((((x \ L(x,y,z)) * u) / (((L(x,y,z) \ x) * (x \ L(x,y,z))) * u)) \ 1) \ 1 = K(x \ L(x,y,z),a(z,y,x)) * (((x \ L(x,y,z)) * u) / (1 * u)). [para(5621(a,1),8794(a,2,1))]. given #7959 (H,wt=51): 8796 ((((x \ L(x,y,z)) * u) / (((L(x,y,z) \ x) * (x \ L(x,y,z))) * u)) \ 1) \ 1 = K(x \ L(x,y,z),a(z,y,x)) * (((x \ L(x,y,z)) * u) / u). [para(14(a,1),8795(a,2,2,2))]. given #7960 (H,wt=47): 8797 ((((x \ L(x,y,z)) * u) / (((L(x,y,z) \ x) * (x \ L(x,y,z))) * u)) \ 1) \ 1 = K(x \ L(x,y,z),a(z,y,x)) * (x \ L(x,y,z)). [para(18(a,1),8796(a,2,2))]. given #7961 (H,wt=40): 8798 ((((x \ L(x,y,z)) * u) / (((L(x,y,z) \ x) * (x \ L(x,y,z))) * u)) \ 1) \ 1 = T(x \ L(x,y,z),a(z,y,x)). [hyper(189,a,4403,a,b,8797,a)]. given #7962 (H,wt=28): 8800 T(x \ L(x,y,z),a(z,y,x)) = ((((x \ L(x,y,z)) * u) / (1 * u)) \ 1) \ 1. [para(8229(a,1),8798(a,1,1,1,2,1)),flip(a)]. given #7963 (H,wt=26): 8801 T(x \ L(x,y,z),a(z,y,x)) = ((((x \ L(x,y,z)) * u) / u) \ 1) \ 1. [para(14(a,1),8800(a,2,1,1,2))]. given #7964 (H,wt=22): 8803 T(x \ L(x,y,z),a(z,y,x)) = ((x \ L(x,y,z)) \ 1) \ 1. [para(18(a,1),8801(a,2,1,1))]. given #7965 (H,wt=29): 8804 (L(x,y,z) \ x) * (((x \ L(x,y,z)) \ 1) \ 1) = K(x \ L(x,y,z),a(z,y,x)). [para(8803(a,1),8230(a,1,2))]. given #7966 (H,wt=25): 8805 (x \ L(x,y,z)) * (L(x,y,z) \ x) = K(x \ L(x,y,z),a(z,y,x)). [hyper(1997,a,8804,a)]. given #7967 (H,wt=13): 8806 K(x \ L(x,y,z),a(z,y,x)) = 1. [hyper(7869,a,8805,a),flip(a)]. given #7968 (H,wt=15): 8807 x * K(y \ L(y,z,u),a(u,z,y)) = x. [para(8806(a,2),15(a,1,2))]. given #7969 (H,wt=13): 8808 K(a(x,y,z),z \ L(z,y,x)) = 1. [hyper(3879,a,8807,a)]. given #7970 (H,wt=13): 8809 1 / a(x,y,z) = a(x,y,z) \ 1. [para(8808(a,1),5018(a,1,2)),flip(a)]. given #7971 (H,wt=13): 8810 (a(x,y,z) \ 1) \ 1 = a(x,y,z). [para(8809(a,1),69(a,1,1))]. given #7972 (H,wt=16): 8811 (a(x,y,z) \ 1) \ 1 != u | a(x,y,z) = u. [para(8809(a,1),236(a,1,1)),flip(b)]. given #7973 (H,wt=19): 8813 (a(x,y,R(x,z,u)) \ 1) \ 1 = a(R(x,z,u),y,x). [para(7911(a,1),8810(a,1,1))]. given #7974 (H,wt=15): 8815 a(R(x,y,z),u,x) = a(x,u,R(x,y,z)). [hyper(8811,a,8813,a),flip(a)]. given #7975 (H,wt=18): 8816 a(R(x,y,z),u,x) != w | a(x,u,R(x,y,z)) = w. [para(8813(a,1),8811(a,1))]. given #7976 (H,wt=21): 8814 a(x,y,x) * K(z * x,a(x,y,x)) = R(a(x,y,x),x,z). [para(8810(a,1),8347(a,2,1))]. given #7977 (H,wt=12): 8818 R(a(x,y,x),x,z) = a(x,y,x). [hyper(7992,a,8814,a),flip(a)]. given #7978 (H,wt=36): 8819 ((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(189,a,379,a,b,8818,a(flip)),flip(a)]. given #7979 (H,wt=31): 8820 (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(7950(a,1),8819(a,1,1,1))]. given #7980 (H,wt=28): 8821 ((R(x,y,R(x,z,u)) * z) * u) / ((x * z) * u) = a(R(x,z,u),y,R(x,z,u)). [para(382(a,1),8820(a,1,1))]. given #7981 (H,wt=25): 8822 ((R(x,y,x) * z) * u) / ((x * z) * u) = a(R(x,z,u),y,R(x,z,u)). [para(8766(a,1),8821(a,1,1))]. given #7982 (H,wt=23): 8823 a(R(x,y,z),u,R(x,y,z)) != w | R(a(x,u,x),x * y,z) = w. [para(8822(a,1),8341(a,1))]. given #7983 (H,wt=40): 8817 (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(189,a,6829,a,b,8815,a),flip(a)]. given #7984 (H,wt=38): 8824 (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(5611(a,1),8817(a,1,1,2))]. given #7985 (H,wt=36): 8825 (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(501(a,1),8824(a,1,1))]. given #7986 (H,wt=34): 8826 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(160(a,1),8825(a,1,2)),flip(a)]. given #7987 (H,wt=27): 8827 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(189,a,1710,a(flip),b,8826,a)]. given #7988 (H,wt=27): 8828 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(45(a,2),8827(a,2,3))]. given #7989 (H,wt=27): 8829 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(8816,a,8828,a)]. given #7990 (H,wt=23): 8830 a(x,T(x,y) \ y,R(x,z,u)) = a(x,x \ y,R(T(x,y),z,u)). [hyper(189,a,7898,a(flip),b,8829,a(flip)),flip(a)]. given #7991 (H,wt=21): 8832 a(x,x \ y,R(T(x,y),z,u)) = a(x,x \ y,R(x,z,u)). [hyper(189,a,7922,a(flip),b,8830,a(flip))]. given #7992 (H,wt=27): 8834 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(189,a,8584,a,b,8832,a(flip)),flip(a)]. given #7993 (H,wt=25): 8835 a(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = a(x,x \ u,R(x,y,z)). [hyper(7961,a,8834,a)]. given #7994 (H,wt=28): 8836 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,y \ (w * y),R(y,z,u)). [para(8835(a,1),8582(a,1,2)),flip(a)]. given #7995 (H,wt=26): 8837 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,T(w,y),R(y,z,u)). [para(35(a,2),8836(a,2,2,2))]. given #7996 (H,wt=24): 8838 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,w,R(y,z,u)). [para(7921(a,1),8837(a,2,2))]. given #7997 (H,wt=25): 8839 x * a(R(y,z,u),w,L(R(y,z,u),v5,v6)) = x * a(y,w,R(y,z,u)). [hyper(189,a,8765,a(flip),b,8838,a(flip)),flip(a)]. given #7998 (H,wt=22): 8840 x * a(R(y,z,u),w,R(y,z,u)) = x * a(y,w,R(y,z,u)). [para(262(a,1),8839(a,1,2,3))]. given #7999 (H,wt=18): 8841 a(R(x,y,z),u,R(x,y,z)) = a(x,u,R(x,y,z)). [hyper(7985,a,8840,a)]. given #8000 (H,wt=17): 8842 R(a(x,y,x),x * z,u) = a(x,y,R(x,z,u)). [hyper(8823,a,8841,a)]. given #8001 (H,wt=17): 8843 a(x,y,R(x,x \ z,u)) = R(a(x,y,x),z,u). [para(17(a,1),8842(a,1,2)),flip(a)]. given #8002 (H,wt=19): 8844 R(x,y,R(x,x \ z,u)) = x * R(a(x,y,x),z,u). [para(8843(a,1),7885(a,1,2)),flip(a)]. given #8003 (H,wt=23): 8845 R(T(x,y),z,R(x,x \ u,w)) = T(x,y) * R(a(x,z,x),u,w). [para(8843(a,1),7895(a,1,2)),flip(a)]. given #8004 (H,wt=29): 8846 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(189,a,7411,a(flip),b,8844,a(flip))]. given #8005 (H,wt=25): 8847 R(T(x,y),z,R(x,T(x,y) \ u,w)) = T(x,y) * R(a(x,z,x),u,w). [para(8003(a,1),8846(a,1,2,1)),flip(a)]. given #8006 (H,wt=25): 8848 R(T(x,y),z,R(x,T(x,y) \ u,w)) = R(T(x,y),z,R(x,x \ u,w)). [hyper(189,a,8845,a,b,8847,a)]. given #8007 (H,wt=36): 8850 (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(8848(a,1),8767(a,2,1,1))]. given #8008 (H,wt=30): 8851 (R(T(x,y),z,T(x,y)) * (T(x,y) \ u)) * w = (a(x,z,R(x,x \ u,w)) * u) * w. [para(8780(a,1),8850(a,2,1))]. given #8009 (H,wt=28): 8853 (R(T(x,y),z,T(x,y)) * (T(x,y) \ u)) * w = (R(a(x,z,x),u,w) * u) * w. [para(8843(a,1),8851(a,2,1,1))]. given #8010 (H,wt=26): 8854 (R(T(x,y),z,x) * (T(x,y) \ u)) * w = (R(a(x,z,x),u,w) * u) * w. [para(6434(a,1),8853(a,1,1,1))]. given #8011 (H,wt=26): 8856 (T(x,y) * (L(T(x,y),z,x) \ u)) * w = (R(a(x,z,x),u,w) * u) * w. [para(8344(a,1),8854(a,1,1))]. given #8012 (H,wt=20): 8857 (R(a(x,y,x),z,u) * z) * u = (z * a(x,y,x)) * u. [para(7966(a,1),8856(a,1,1)),flip(a)]. given #8013 (H,wt=28): 8858 ((a(x,y,x) * z) * u) \ ((z * a(x,y,x)) * u) = a(R(a(x,y,x),z,u),z,u). [para(8857(a,1),377(a,1,2))]. given #8014 (H,wt=19): 8859 a(R(a(x,y,x),z,u),z,u) = K(z,T(a(x,y,x),u)). [hyper(189,a,8524,a(flip),b,8858,a(flip))]. given #8015 (H,wt=17): 8860 a(R(a(x,y,x),z,u),z,u) = K(z,a(x,y,x)). [para(7983(a,1),8859(a,2,2))]. given #8016 (H,wt=12): 8861 a(R(a(x,y,x),z,u),z,u) = 1. [hyper(189,a,7990,a(flip),b,8860,a)]. given #8017 (H,wt=12): 8864 L(x,y,R(a(z,u,z),y,x)) = x. [hyper(36,a,8861,a)]. given #8018 (H,wt=31): 8865 (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(8864(a,1),8439(a,1,2))]. given #8019 (H,wt=23): 8866 (R(a(x,y,x),z,u) * (z * u)) / u = z * R(a(x,y,x),z,u). [para(8002(a,1),8865(a,1,1,2,1))]. given #8020 (H,wt=16): 8867 x * R(a(y,z,y),x,u) = a(y,z,y) * x. [hyper(386,a,8866,a),flip(a)]. given #8021 (H,wt=12): 8868 R(a(x,y,x),z,u) = a(x,y,x). [hyper(20,a,7980,a(flip),b,8867,a)]. given #8022 (H,wt=9): 8874 L(x,y,a(z,u,z)) = x. [para(8868(a,1),8864(a,1,3))]. given #8023 (H,wt=12): 8870 a(x,y,R(x,z,u)) = a(x,y,x). [hyper(189,a,8842,a(flip),b,8868,a(flip)),flip(a)]. given #8024 (H,wt=14): 8878 L(x,y,R(x,z,u)) = a(x,y,x) \ x. [para(8870(a,1),7902(a,1,1)),flip(a)]. given #8025 (H,wt=16): 8871 a(x,y * K(z,y),x) = L(a(x,y,x),y,z). [hyper(189,a,8037,a(flip),b,8868,a(flip))]. given #8026 (H,wt=17): 8872 (a(x,y,x) * z) * u = a(x,y,x) * (z * u). [para(8868(a,1),110(a,1,1)),flip(a)]. given #8027 (H,wt=17): 8879 L(x,y,R(x,z,u)) = a(x,y,L(x,w,v5)) \ x. [para(8763(a,2),8878(a,2,1))]. given #8028 (H,wt=15): 8885 L(x,y,R(x,z,u)) = L(x,y,L(x,w,v5)). [hyper(189,a,8021,a(flip),b,8879,a)]. given #8029 (H,wt=12): 8887 L(x,y,L(x,z,u)) = L(x,y,x). [para(272(a,1),8885(a,1,3)),flip(a)]. given #8030 (H,wt=17): 8884 (x * a(y,z,y)) * u = a(y,z,y) * (x * u). [para(7980(a,1),8872(a,1,1))]. given #8031 (H,wt=17): 8889 (x * a(y,z,y)) * u = (x * u) * a(y,z,y). [hyper(189,a,7980,a(flip),b,8884,a)]. given #8032 (H,wt=18): 8888 L(L(x,y,z),u,L(x,w,v5)) = L(L(x,u,x),y,z). [para(8887(a,1),48(a,1,1)),flip(a)]. given #8033 (H,wt=20): 8890 (x * a(y,z,y)) * u != w * a(y,z,y) | x * u = w. [para(8889(a,2),23(a,1))]. given #8034 (H,wt=25): 8882 L(a(x,L(y,z,u),x),L(y,z,u),w) = a(x,L(y * K(w,y),z,u),x). [para(4729(a,1),8871(a,1,2)),flip(a)]. given #8035 (H,wt=27): 8892 (L(x,y,z) \ L(L(x,u,x),y,z)) \ w = w * a(L(x,y,z),u,L(x,y,z)). [para(8888(a,1),8000(a,1,1,2))]. given #8036 (H,wt=24): 8894 x * a(L(y,z,u),w,L(y,z,u)) = (a(y,w,L(y,z,u)) \ 1) \ x. [para(8272(a,1),8892(a,1,1)),flip(a)]. given #8037 (H,wt=18): 8895 a(L(x,y,z),u,L(x,y,z)) = a(x,u,L(x,y,z)). [hyper(74,a,8810,a(flip),b,8894,a)]. given #8038 (H,wt=23): 8896 L(x,y,z) * a(x,u,L(x,y,z)) = R(L(x,y,z),u,L(x,y,z)). [para(8895(a,1),7948(a,1,2))]. given #8039 (H,wt=20): 8897 L(x,y,z) * a(x,u,L(x,y,z)) = L(R(x,u,x),y,z). [hyper(189,a,8751,a(flip),b,8896,a)]. given #8040 (H,wt=17): 8898 L(x,y,z) * a(x,u,x) = L(R(x,u,x),y,z). [para(8763(a,1),8897(a,1,2))]. given #8041 (H,wt=29): 8875 (x * (y * a(z,u,z))) \ (x * (a(z,u,z) * (y * w))) = L(w,a(z,u,z) * y,x). [para(8874(a,1),7988(a,2,1))]. given #8042 (H,wt=29): 8883 (a(x,y,x) * (z * u)) \ ((a(x,y,x) * z) * (u * w)) = L(w,u,a(x,y,x) * z). [para(8872(a,1),31(a,2,1)),flip(a)]. given #8043 (H,wt=29): 8901 (a(x,y,x) * (z * u)) \ (a(x,y,x) * (z * (u * w))) = L(w,u,a(x,y,x) * z). [para(8872(a,1),8883(a,1,2))]. given #8044 (H,wt=22): 8902 L(L(x,y,z),z * y,a(u,w,u)) = L(x,y,a(u,w,u) * z). [hyper(646,a,8901,a)]. given #8045 (H,wt=14): 8903 L(x,y,a(z,u,z) * w) = L(x,y,w). [hyper(189,a,8874,a(flip),b,8902,a(flip))]. given #8046 (H,wt=14): 8905 L(x,y,z * a(u,w,u)) = L(x,y,z). [para(7980(a,1),8903(a,1,3))]. given #8047 (H,wt=30): 8899 (x * (y * z)) \ ((x * y) * L(R(z,u,z),y,x)) = L(a(z,u,z),L(z,y,x),x * y). [para(8898(a,1),347(a,1,2,2))]. given #8048 (H,wt=27): 8906 (x * (y * z)) \ (x * (y * R(z,u,z))) = L(a(z,u,z),L(z,y,x),x * y). [para(102(a,1),8899(a,1,2))]. given #8049 (H,wt=22): 8907 L(a(x,y,x),L(x,z,u),u * z) = L(a(x,y,x),z * x,u). [hyper(8338,a,8906,a),flip(a)]. given #8050 (H,wt=14): 8908 L(a(x,y,x),z * x,u) = a(x,y,x). [hyper(8793,a,8907,a),flip(a)]. given #8051 (H,wt=12): 8909 L(a(x,y,x),z,u) = a(x,y,x). [para(19(a,1),8908(a,1,2))]. given #8052 (H,wt=14): 8912 L(a(x,y,x),z,u) = a(x,y,x) * 1. [hyper(189,a,15,a,b,8909,a)]. given #8053 (H,wt=15): 8914 L(a(x,y,x),z,u) != w | a(x,y,x) = w. [para(8912(a,2),85(a,1)),flip(b)]. given #8054 (H,wt=17): 8913 (x * y) * a(z,u,z) = x * (y * a(z,u,z)). [para(8909(a,1),102(a,1,2))]. given #8055 (H,wt=17): 8916 (x * a(y,z,y)) * u = x * (u * a(y,z,y)). [hyper(21,a,8889,a(flip),b,8913,a)]. given #8056 (H,wt=17): 8918 (x * a(y,z,y)) * u = x * (a(y,z,y) * u). [para(7980(a,2),8916(a,2,2))]. given #8057 (H,wt=9): 8920 L(x,a(y,z,y),u) = x. [hyper(346,a,8918,a)]. given #8058 (H,wt=20): 8923 (x * a(y,z,y)) * u != w | x * (a(y,z,y) * u) = w. [para(8920(a,1),207(a,1,2))]. given #8059 (H,wt=31): 8893 (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) = a(u,L(z * K(x * y,z),y,x),u). [hyper(189,a,8039,a(flip),b,8882,a(flip)),flip(a)]. given #8060 (H,wt=30): 8925 (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) = a(u,(x * (y * z)) / (x * y),u). [para(4490(a,1),8893(a,2,2))]. given #8061 (H,wt=25): 8926 L(L(a(x,y,x),y,z),z * y,u) = a(x,(u * (z * y)) / (u * z),x). [hyper(7957,a,8925,a)]. given #8062 (H,wt=22): 8927 L(a(x,y,x),z * y,u) = a(x,(u * (z * y)) / (u * z),x). [para(8909(a,1),8926(a,1,1))]. given #8063 (H,wt=22): 8928 L(a(x,y,x),z * y,u) = a(x,(u * z) \ (u * (z * y)),x). [hyper(189,a,8668,a(flip),b,8927,a)]. given #8064 (H,wt=17): 8930 L(a(x,y,x),z * y,u) = a(x,L(y,z,u),x). [para(31(a,2),8928(a,2,2))]. given #8065 (H,wt=12): 8931 a(x,L(y,z,u),x) = a(x,y,x). [hyper(8914,a,8930,a),flip(a)]. given #8066 (H,wt=14): 8933 R(x,L(y,z,u),x) = x * a(x,y,x). [para(8931(a,1),7948(a,1,2)),flip(a)]. given #8067 (H,wt=12): 8934 R(x,L(y,z,u),x) = R(x,y,x). [hyper(189,a,7948,a(flip),b,8933,a)]. given #8068 (H,wt=17): 8935 R(x,(y \ z) \ u,x) = R(x,z \ (y * u),x). [para(359(a,1),8934(a,1,2)),flip(a)]. given #8069 (H,wt=20): 8936 R(x \ y,y \ (x * x),x \ y) = ((y / x) \ x) \ x. [hyper(189,a,6907,a(flip),b,8935,a(flip))]. given #8070 (H,wt=18): 8937 R(x \ y,y \ (x * x),x \ y) = (y \ x) \ 1. [hyper(189,a,4279,a(flip),b,8936,a)]. given #8071 (H,wt=35): 8924 (x * (y * a(z,u,z))) \ ((x * a(z,u,z)) * (y * w)) = L(w,L(y,a(z,u,z),x),x * a(z,u,z)). [para(8920(a,1),7989(a,1,2,2,1))]. given #8072 (H,wt=35): 8938 (x * (y * a(z,u,z))) \ (x * (a(z,u,z) * (y * w))) = L(w,L(y,a(z,u,z),x),x * a(z,u,z)). [para(8918(a,1),8924(a,1,2))]. given #8073 (H,wt=25): 8939 L(x,L(y,a(z,u,z),w),w * a(z,u,z)) = L(x,a(z,u,z) * y,w). [hyper(189,a,8875,a(flip),b,8938,a(flip))]. given #8074 (H,wt=19): 8940 L(x,a(y,z,y) * u,w) = L(x,u,w * a(y,z,y)). [para(8920(a,1),8939(a,1,2)),flip(a)]. given #8075 (H,wt=14): 8941 L(x,a(y,z,y) * u,w) = L(x,u,w). [hyper(189,a,8905,a(flip),b,8940,a)]. given #8076 (H,wt=12): 8943 L(x,R(y,z,y),u) = L(x,y,u). [para(7950(a,1),8941(a,1,2))]. given #8077 (H,wt=15): 8946 L(x,(y \ z) \ 1,u) = L(x,z \ y,u). [para(8937(a,1),8943(a,1,2))]. given #8078 (H,wt=15): 8947 L(x,(y * z) \ y,u) = L(x,z \ 1,u). [para(16(a,1),8946(a,1,2,1)),flip(a)]. given #8079 (H,wt=16): 8948 L(x,L(y \ 1,y,z),u) = L(x,y \ 1,u). [para(140(a,2),8947(a,1,2))]. given #8080 (H,wt=10): 8949 L(x,y \ 1,y * y) = x. [hyper(189,a,1916,a(flip),b,8948,a(flip))]. given #8081 (H,wt=26): 8950 (x * (x * (x \ 1))) \ ((x * x) * y) = L((1 / x) \ y,x \ 1,x * x). [hyper(189,a,1891,a(flip),b,8948,a(flip)),flip(a)]. given #8082 (H,wt=20): 8953 L((1 / x) \ y,x \ 1,x * x) = x \ ((x * x) * y). [para(62(a,1),8950(a,1,1)),flip(a)]. given #8083 (H,wt=13): 8954 x \ ((x * x) * y) = (1 / x) \ y. [hyper(189,a,8949,a(flip),b,8953,a(flip))]. given #8084 (H,wt=12): 8955 (1 / x) \ L(y,x,x) = x * y. [hyper(356,a,8954,a),flip(a)]. given #8085 (H,wt=11): 8957 L(x,y,y \ 1) = L(x,y,y). [hyper(2389,a,8955,a),flip(a)]. given #8086 (H,wt=12): 8958 (1 / x) * (x * y) = L(y,x,x). [para(8955(a,1),17(a,1,2))]. given #8087 (H,wt=12): 8959 (x \ 1) \ (x \ y) = L(y,x,x). [hyper(7397,a,8957,a)]. given #8088 (H,wt=12): 8960 T(x * y,x) / x = L(y,x,x). [hyper(4281,a,8957,a)]. given #8089 (H,wt=11): 8964 x * a(y,x,y) = L(x,y,y). [hyper(189,a,7944,a(flip),b,8960,a(flip)),flip(a)]. given #8090 (H,wt=11): 8965 a(x,y,x) * y = L(y,x,x). [hyper(7993,a,8964,a)]. given #8091 (H,wt=12): 8963 (x * y) * (y \ 1) = L(x,y,y). [hyper(660,a,8959,a)]. given #8092 (H,wt=12): 8966 L(x,L(y,z,z),u) = L(x,y,u). [para(8965(a,1),8941(a,1,2))]. given #8093 (H,wt=12): 8967 L(x / y,y,y) = x * (y \ 1). [hyper(252,a,8963,a),flip(a)]. given #8094 (H,wt=12): 8968 x * L(y,x,x) = (1 / x) \ y. [para(8963(a,1),852(a,1,2))]. given #8095 (H,wt=14): 8961 T(T(x,y) * y,x) = x * L(y,x,x). [para(8958(a,1),4698(a,2,2))]. given #8096 (H,wt=13): 8972 T(T(x,y) * y,x) = (1 / x) \ y. [hyper(189,a,8968,a(flip),b,8961,a)]. given #8097 (H,wt=15): 8971 L(x,y * (z \ 1),u) = L(x,y / z,u). [para(8967(a,1),8966(a,1,2))]. given #8098 (H,wt=15): 8973 L(x,y * (z \ 1),z) = L(x,z \ y,z). [hyper(189,a,8433,a(flip),b,8971,a)]. given #8099 (H,wt=22): 8975 ((x * y) / x) * L(z,x \ y,x) = x * ((y * (x \ 1)) * z). [para(8973(a,1),4274(a,1,2))]. given #8100 (H,wt=31): 8962 L((x \ 1) \ y,x \ 1,x * L(z,x,x)) = ((x * z) / x) \ (T(T(x,z) * z,x) * y). [para(8958(a,1),5834(a,1,3,2))]. given #8101 (H,wt=30): 8976 ((x * y) / x) \ (T(T(x,y) * y,x) * z) = L((x \ 1) \ z,x \ 1,(1 / x) \ y). [para(8968(a,1),8962(a,1,3)),flip(a)]. given #8102 (H,wt=28): 8977 L((x \ 1) \ y,x \ 1,(1 / x) \ z) = ((x * z) / x) \ (((1 / x) \ z) * y). [para(8972(a,1),8976(a,1,2,1)),flip(a)]. given #8103 (H,wt=24): 8978 ((x * y) / x) \ (((1 / x) \ y) * z) = L((x \ 1) \ z,x \ y,x). [hyper(189,a,8440,a(flip),b,8977,a(flip))]. given #8104 (H,wt=27): 8979 ((x * y) / x) * L((x \ 1) \ z,x \ y,x) != u | ((1 / x) \ y) * z = u. [para(8978(a,1),203(a,1,2)),flip(b)]. given #8105 (H,wt=21): 8980 x * ((y * (x \ 1)) * ((x \ 1) \ z)) = ((1 / x) \ y) * z. [hyper(8979,a,8975,a),flip(a)]. given #8106 (H,wt=17): 8981 x * ((y * (z / x)) * x) = ((1 / x) \ y) * z. [para(491(a,1),8980(a,1,2))]. -------- Proof 1 -------- "Osborn 1". ============================== PROOF ================================= % Proof 1 at 534.00 (+ 21.86) seconds: "Osborn 1". % Length of proof is 7720. % Level of proof is 530. % Maximum clause weight is 57.000. % Given clauses 8106 (15.294 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 ((1 / x) \ y) * (z * x) = x * ((y * z) * x) # label("Osborn 1") # label(non_clause) # label(goal). [goal]. 14 1 * x = x. [assumption]. 15 x * 1 = x. [assumption]. 16 x \ (x * y) = y. [assumption]. 17 x * (x \ y) = y. [assumption]. 18 (x * y) / y = x. [assumption]. 19 (x / y) * y = x. [assumption]. 20 x * y != z | x * u != z | u = y. [clausify(1)]. 21 x * y != z | u * y != z | u = x. [clausify(2)]. 22 x * y != x * z | y = z. [clausify(3)]. 23 x * y != z * y | x = z. [clausify(4)]. 24 x != y | z * x = z * y. [assumption]. 25 x != y | x * z = y * z. [assumption]. 26 (x * (y * z)) \ ((x * y) * z) = a(x,y,z) # label("associator"). [assumption]. 27 a(x,y,z) = (x * (y * z)) \ ((x * y) * z). [copy(26),flip(a)]. 28 (x * y) \ (y * x) = K(y,x) # label("commutator"). [assumption]. 29 K(x,y) = (y * x) \ (x * y). [copy(28),flip(a)]. 30 (x * y) \ (x * (y * z)) = L(z,y,x). [assumption]. 31 L(x,y,z) = (z * y) \ (z * (y * x)). [copy(30),flip(a)]. 32 ((x * y) * z) / (y * z) = R(x,y,z). [assumption]. 33 R(x,y,z) = ((x * y) * z) / (y * z). [copy(32),flip(a)]. 34 x \ (y * x) = T(y,x). [assumption]. 35 T(x,y) = y \ (x * y). [copy(34),flip(a)]. 36 a(x,y,z) != 1 | L(z,y,x) = z. [clausify(5)]. 37 L(x,y,z) != x | a(z,y,x) = 1. [clausify(6)]. 38 T(x,y) != x | T(y,x) = y. [clausify(7)]. 39 T(x,y) != x | K(x,y) = 1. [clausify(8)]. 40 K(x,y) != 1 | T(x,y) = x. [clausify(9)]. 41 T(T(x,y),z) = T(T(x,z),y). [assumption]. 42 T(L(x,y,z),u) = L(T(x,u),y,z). [assumption]. 43 L(T(x,y),z,u) = T(L(x,z,u),y). [copy(42),flip(a)]. 44 T(R(x,y,z),u) = R(T(x,u),y,z). [assumption]. 45 R(T(x,y),z,u) = T(R(x,z,u),y). [copy(44),flip(a)]. 46 L(R(x,y,z),u,w) = R(L(x,u,w),y,z). [assumption]. 47 R(L(x,y,z),u,w) = L(R(x,u,w),y,z). [copy(46),flip(a)]. 48 L(L(x,y,z),u,w) = L(L(x,u,w),y,z). [assumption]. 49 R(R(x,y,z),u,w) = R(R(x,u,w),y,z). [assumption]. 50 (x * (y * x)) * ((1 / x) * z) = x * (y * z) # label("gen left Bol"). [assumption]. 51 (x * (y \ 1)) * ((y * z) * y) = (x * z) * y # label("gen right Bol"). [assumption]. 52 ((1 / c1) \ c2) * (c3 * c1) != c1 * ((c2 * c3) * c1) # label("Osborn 1") # answer("Osborn 1"). [deny(10)]. 58 1 \ x = x. [para(14(a,1),16(a,1,2))]. 59 x \ x = 1. [para(15(a,1),16(a,1,2))]. 60 x \ (x * (y \ (y * z))) = z. [para(16(a,2),16(a,1))]. 61 (x * (x \ 1)) * y = y. [para(17(a,2),14(a,1,1))]. 62 x * (y * (y \ 1)) = x. [para(17(a,2),15(a,1,2))]. 63 x * (y * (y \ (x \ z))) = z. [para(17(a,2),17(a,1,2))]. 64 x / x = 1. [para(14(a,1),18(a,1,1))]. 66 x * (((x \ y) * z) / z) = y. [para(18(a,2),17(a,1,2))]. 67 x / (y \ x) = y. [para(17(a,1),18(a,1,1))]. 68 ((1 / x) * x) * y = y. [para(19(a,2),14(a,1,1))]. 69 (x / y) \ x = y. [para(19(a,1),16(a,1,2))]. 70 (x \ (x * (y / z))) * z = y. [para(16(a,2),19(a,1,1))]. 71 ((x * (x \ y)) / z) * z = y. [para(19(a,2),17(a,1))]. 72 (((x * y) / z) * z) / y = x. [para(19(a,2),18(a,1,1))]. 73 (((x / y) / z) * z) * y = x. [para(19(a,2),19(a,1,1))]. 74 x != y | 1 * z != y | z = x. [para(14(a,1),20(a,1))]. 75 x != y | z * u != y | z \ x = u. [para(17(a,1),20(a,1)),flip(c)]. 76 x != y | z * u != y | x / u = z. [para(19(a,1),21(a,1)),flip(c)]. 77 1 * x != y | y = x. [para(14(a,1),22(a,1)),flip(a)]. 78 (x * y) * 1 != x * z | z = y. [para(15(a,2),22(a,2)),flip(a)]. 80 x * y != z | x \ z = y. [para(17(a,1),22(a,1)),flip(a)]. 81 x * (x \ (y * z)) != y * u | u = z. [para(17(a,2),22(a,2)),flip(a)]. 82 (x / y) * z != x | z = y. [para(19(a,1),22(a,2))]. 85 x * 1 != y | y = x. [para(15(a,1),23(a,1)),flip(a)]. 86 x * 1 != y | x = y. [para(15(a,1),23(a,2))]. 87 x * (y \ z) != z | x = y. [para(17(a,1),23(a,2))]. 88 x * y != z | z / y = x. [para(19(a,1),23(a,1)),flip(a)]. 89 x * (y * (y \ z)) = x * z. [hyper(24,a,17,a)]. 90 ((x / y) * y) * z = x * z. [hyper(25,a,19,a)]. 91 (x * (x \ y)) * z = y * z. [hyper(25,a,17,a)]. 92 (x * (y * z)) * a(x,y,z) = (x * y) * z. [para(27(a,2),17(a,1,2))]. 93 (x * ((x \ y) * z)) \ (y * z) = a(x,x \ y,z). [para(17(a,1),27(a,2,2,1)),flip(a)]. 94 (x * y) \ ((x * (y / z)) * z) = a(x,y / z,z). [para(19(a,1),27(a,2,1,2)),flip(a)]. 95 (x * y) * K(y,x) = y * x. [para(29(a,2),17(a,1,2))]. 96 x \ ((y \ x) * y) = K(y \ x,y). [para(17(a,1),29(a,2,1)),flip(a)]. 97 ((x \ y) * x) \ y = K(x,x \ y). [para(17(a,1),29(a,2,2)),flip(a)]. 98 x \ (y * (x / y)) = K(y,x / y). [para(19(a,1),29(a,2,1)),flip(a)]. 99 (x * (y / x)) \ y = K(y / x,x). [para(19(a,1),29(a,2,2)),flip(a)]. 100 (x * 1) \ (x * y) = L(y,1,x). [para(14(a,1),31(a,2,2,2)),flip(a)]. 101 (x * y) \ (x * y) = L(1,y,x). [para(15(a,1),31(a,2,2,2)),flip(a)]. 102 (x * y) * L(z,y,x) = x * (y * z). [para(31(a,2),17(a,1,2))]. 103 x \ (y * ((y \ x) * z)) = L(z,y \ x,y). [para(17(a,1),31(a,2,1)),flip(a)]. 104 L(x \ y,x,z) = (z * x) \ (z * y). [para(17(a,1),31(a,2,2,2))]. 105 L(x,y / x,z) = (z * (y / x)) \ (z * y). [para(19(a,1),31(a,2,2,2))]. 106 (x * y) / (x * y) = R(1,x,y). [para(14(a,1),33(a,2,1,1)),flip(a)]. 107 ((x * 1) * y) / y = R(x,1,y). [para(14(a,1),33(a,2,2)),flip(a)]. 108 R(x,x \ y,z) = (y * z) / ((x \ y) * z). [para(17(a,1),33(a,2,1,1))]. 109 R(x,y,(x * y) \ z) = z / (y * ((x * y) \ z)). [para(17(a,1),33(a,2,1))]. 110 R(x,y,z) * (y * z) = (x * y) * z. [para(33(a,2),19(a,1,1))]. 111 R(x / y,y,z) = (x * z) / (y * z). [para(19(a,1),33(a,2,1,1))]. 112 T(x,x) = x. [para(35(a,2),16(a,1))]. 113 x * T(y,x) = y * x. [para(35(a,2),17(a,1,2))]. 114 T(x,x \ y) = (x \ y) \ y. [para(17(a,1),35(a,2,2))]. 115 T(x / y,y) = y \ x. [para(19(a,1),35(a,2,2))]. 116 T(T(R(x,y,z),u),w) = T(R(T(x,w),y,z),u). [para(45(a,2),41(a,1,1)),flip(a)]. 117 (x * (y * x)) * (1 / x) = x * (y * 1). [para(15(a,1),50(a,1,2))]. 118 (x * y) * ((1 / x) * z) = x * ((y / x) * z). [para(19(a,1),50(a,1,1,2))]. 119 (x \ 1) * ((x * y) * x) = (1 * y) * x. [para(14(a,1),51(a,1,1))]. 120 (x * (y \ 1)) * (z * y) = (x * (y \ z)) * y. [para(17(a,1),51(a,1,2,1))]. 121 (x * (x \ 1)) \ y = y. [para(17(a,2),58(a,1,1))]. 122 ((1 / x) * x) \ y = y. [para(19(a,2),58(a,1,1))]. 123 K(x,x) = 1. [para(59(a,1),29(a,2))]. 124 T(T(x,y),x) = T(x,y). [para(112(a,1),41(a,1,1)),flip(a)]. 125 T(L(x,y,z),x) = L(x,y,z). [para(112(a,1),43(a,1,1)),flip(a)]. 126 (x / (y \ x)) * z = y * z. [hyper(25,a,67,a)]. 127 (x * y) / K(x,y) = y * x. [para(29(a,2),67(a,1,2))]. 128 (x * (y * z)) / L(z,y,x) = x * y. [para(31(a,2),67(a,1,2))]. 129 (x * y) / T(x,y) = y. [para(35(a,2),67(a,1,2))]. 130 x / (y / ((z \ x) \ y)) = z. [para(67(a,2),67(a,1,2))]. 131 ((x / y) \ x) * z = y * z. [hyper(25,a,69,a)]. 132 x * ((y / (x \ z)) \ y) = z. [para(69(a,2),17(a,1,2))]. 133 R(x,y,z) \ ((x * y) * z) = y * z. [para(33(a,2),69(a,1,1))]. 134 ((x / (y / z)) \ x) \ y = z. [para(69(a,2),69(a,1,1))]. 135 (x * (x \ 1)) * y != z | z = y. [para(17(a,2),77(a,1,1))]. 136 ((1 / x) * x) * y != z | z = y. [para(19(a,2),77(a,1,1))]. 137 x * (y * (y \ 1)) != z | x = z. [para(17(a,2),86(a,1,2))]. 138 x * (y \ y) != z | x = z. [para(59(a,2),86(a,1,2))]. 139 R(x,x \ 1,y) = y / ((x \ 1) * y). [para(61(a,1),33(a,2,1))]. 140 L(x \ 1,x,y) = (y * x) \ y. [para(62(a,1),31(a,2,2))]. 141 R(1 / x,x,y) = y / (x * y). [para(68(a,1),33(a,2,1))]. 142 T((x * y) / x,x) = y. [hyper(20,a,19,a(flip),b,113,a)]. 143 (x * T(y,x)) / x = y. [hyper(21,a,19,a,b,113,a(flip)),flip(a)]. 144 x \ (y * T(x,y)) = y. [hyper(20,a,17,a,b,113,a(flip)),flip(a)]. 145 (x \ y) * T(x,x \ y) = y. [para(113(a,2),17(a,1))]. 146 x * T(y / x,x) = y. [para(113(a,2),19(a,1))]. 147 x * y != z | y * u != z | T(x,y) = u. [para(113(a,1),20(a,1)),flip(c)]. 148 x * y != z * x | T(z,x) = y. [para(113(a,1),22(a,1)),flip(a)]. 149 x * T(y,x) != z * x | z = y. [para(113(a,2),23(a,2)),flip(a)]. 150 (x * (T(y,x) * z)) \ ((y * x) * z) = a(x,T(y,x),z). [para(113(a,1),27(a,2,2,1)),flip(a)]. 151 (x * (y * T(z,x * y))) \ (z * (x * y)) = a(x,y,T(z,x * y)). [para(113(a,1),27(a,2,2)),flip(a)]. 152 (x * y) \ (T(x,y) * y) = K(T(x,y),y). [para(113(a,1),29(a,2,1)),flip(a)]. 153 (x * y) \ (y * (T(x,y) * z)) = L(z,T(x,y),y). [para(113(a,1),31(a,2,1)),flip(a)]. 154 (x * y) \ (x * (z * y)) = L(T(z,y),y,x). [para(113(a,1),31(a,2,2,2)),flip(a)]. 155 (x * (y * z)) / (z * T(x,y * z)) = R(y,z,T(x,y * z)). [para(113(a,1),33(a,2,1)),flip(a)]. 156 ((x * y) * T(z,y)) / (z * y) = R(x,y,T(z,y)). [para(113(a,1),33(a,2,2)),flip(a)]. 157 T(x,y) \ (x * y) = T(y,T(x,y)). [para(113(a,1),35(a,2,2)),flip(a)]. 158 x * T(T(y,x),z) = T(y,z) * x. [para(41(a,1),113(a,1,2))]. 159 x * L(T(y,x),z,u) = L(y,z,u) * x. [para(43(a,2),113(a,1,2))]. 160 x * R(T(y,x),z,u) = R(y,z,u) * x. [para(45(a,2),113(a,1,2))]. 161 T(T(x / y,z),y) = T(y \ x,z). [para(115(a,1),41(a,1,1)),flip(a)]. 162 T(L(x / y,z,u),y) = L(y \ x,z,u). [para(115(a,1),43(a,1,1)),flip(a)]. 163 T(R(x / y,z,u),y) = R(y \ x,z,u). [para(115(a,1),45(a,1,1)),flip(a)]. 164 T(x / (x / y),x / y) = y. [para(115(a,2),69(a,1))]. 165 K(x \ 1,x) = (x \ 1) * x. [para(121(a,1),29(a,2))]. 166 x * ((x \ 1) * y) = L(y,x \ 1,x). [para(121(a,1),31(a,2)),flip(a)]. 167 ((1 / (x * y)) * x) * y = a(1 / (x * y),x,y). [para(122(a,1),27(a,2)),flip(a)]. 168 K(x,1 / x) = x * (1 / x). [para(122(a,1),29(a,2))]. 169 (1 / x) * (x * y) = L(y,x,1 / x). [para(122(a,1),31(a,2)),flip(a)]. 170 K(T(x,y),x) = 1. [hyper(39,a,124,a)]. 171 T(x,T(x,y)) = x. [hyper(38,a,124,a)]. 172 T(T(T(x,y),z),x) = T(T(x,y),z). [para(124(a,1),41(a,1,1)),flip(a)]. 173 T(x,y) * x = x * T(x,y). [para(124(a,1),113(a,1,2)),flip(a)]. 174 x / T(y,y \ x) = y \ x. [para(17(a,1),129(a,1,1))]. 175 (R(x,y,z) * u) / R(T(x,u),y,z) = u. [para(45(a,2),129(a,1,2))]. 176 T(T((x * y) / x,z),x) = T(y,z). [para(142(a,1),41(a,1,1)),flip(a)]. 177 K(x,(y * x) / y) = 1. [para(142(a,1),170(a,1,1))]. 178 (x * T(T(y,x),z)) / x = T(y,z). [para(41(a,1),143(a,1,1,2))]. 179 L(x,y,z) \ (u * L(T(x,u),y,z)) = u. [para(43(a,2),144(a,1,2,2))]. 180 T(x,(y * x) / y) = x. [hyper(40,a,177,a)]. 181 x \ x != y | 1 = y. [para(14(a,1),138(a,1))]. 183 L(x \ (y \ z),x,y) = (y * x) \ z. [para(63(a,1),31(a,2,2))]. 184 ((x * (x \ y)) / z) \ y = z. [hyper(80,a,71,a)]. 185 ((x / y) * y) / z = x / z. [para(19(a,1),72(a,1,1,1,1))]. 187 R((x / y) / z,z,y) = x / (z * y). [para(73(a,1),33(a,2,1))]. 188 T(x,1) = x. [hyper(74,a,15,a(flip),b,113,a)]. 189 x != y | z != y | z = x. [para(14(a,1),74(b,1))]. 190 K(x,1) = 1. [hyper(39,a,188,a)]. 191 T(1,x) = 1. [hyper(38,a,188,a)]. 193 (x / y) \ x = z * (z \ y). [hyper(189,a,69,a,b,17,a),flip(a)]. 194 x / (y \ x) = z * (z \ y). [hyper(189,a,67,a,b,17,a),flip(a)]. 195 (x * y) / y = (x / z) * z. [hyper(189,a,19,a,b,18,a)]. 196 (x / y) * y = x * 1. [hyper(189,a,19,a,b,15,a),flip(a)]. 197 x \ (x * y) = z * (z \ y). [hyper(189,a,17,a,b,16,a)]. 198 x * (x \ y) = y * 1. [hyper(189,a,17,a,b,15,a),flip(a)]. 199 x * 1 != y * z | x / z = y. [para(196(a,1),23(a,1))]. 200 (x / y) * y != z | z = x. [para(196(a,2),85(a,1))]. 201 x \ (y * (y \ x)) = 1. [hyper(80,a,198,a(flip))]. 202 x * 1 != y * z | y \ x = z. [para(198(a,1),22(a,1))]. 203 x * (x \ y) != z | z = y. [para(198(a,2),85(a,1))]. 204 R(x,y,z) * (y * z) != u | (x * y) * z = u. [para(33(a,2),200(a,1,1)),flip(b)]. 205 x * T(y,x) != z | y * x = z. [para(129(a,1),200(a,1,1)),flip(b)]. 206 x * y != z | y * T(x,y) = z. [para(143(a,1),200(a,1,1)),flip(b)]. 207 (x * y) * L(z,y,x) != u | x * (y * z) = u. [para(31(a,2),203(a,1,2)),flip(b)]. 208 (x * (x \ 1)) \ y != z | z = y. [para(61(a,1),203(a,1))]. 209 ((1 / x) * x) \ y != z | z = y. [para(68(a,1),203(a,1))]. 210 (x / (y * (y \ z))) * z = x. [hyper(200,a,89,a)]. 211 x * (x \ (y * z)) = y * (u * (u \ z)). [hyper(189,a,17,a,b,89,a),flip(a)]. 212 (x * (x \ y)) * z != y * u | z = u. [para(91(a,1),22(a,2))]. 213 x * K(y \ x,y) = (y \ x) * y. [hyper(189,a,91,a(flip),b,95,a(flip)),flip(a)]. 214 x * K(y,x / y) = y * (x / y). [hyper(189,a,90,a(flip),b,95,a(flip)),flip(a)]. 215 (x * y) * z != y * x | K(y,x) = z. [para(95(a,1),22(a,1)),flip(a)]. 217 (x * (y * z)) \ (x * (z * y)) = L(K(z,y),y * z,x). [para(95(a,1),31(a,2,2,2)),flip(a)]. 218 (x * y) / (x * K(x,y)) = R(y,x,K(x,y)). [para(95(a,1),33(a,2,1)),flip(a)]. 219 T(x,x \ y) * z = ((x \ y) \ y) * z. [hyper(25,a,114,a)]. 220 x * T(y,y \ z) = x * ((y \ z) \ z). [hyper(24,a,114,a)]. 221 T(T(x,y),x \ z) = T((x \ z) \ z,y). [para(114(a,1),41(a,1,1)),flip(a)]. 222 x / K(y,y \ x) = (y \ x) * y. [para(17(a,1),127(a,1,1))]. 223 x * (((y / x) \ y) \ z) = z. [hyper(203,a,131,a)]. 224 ((x / y) \ x) * (y \ z) = z. [hyper(189,a,17,a(flip),b,131,a)]. 225 ((x / y) \ x) * z != u | y \ u = z. [para(131(a,2),80(a,1))]. 226 (x / y) * ((z / y) \ z) = x. [para(69(a,1),132(a,1,2,1,2))]. 227 (x \ y) * z != y | T(x,x \ y) = z. [para(145(a,1),22(a,1)),flip(a)]. 228 T(x / (x / y),(z / (x / y)) \ z) = y. [para(69(a,2),164(a,1,2))]. 229 x * T(x \ 1,x) = K(x \ 1,x). [hyper(189,a,113,a,b,165,a),flip(a)]. 231 K(x,1 / x) \ (x * ((1 / x) * y)) = L(y,1 / x,x). [para(168(a,2),31(a,2,1)),flip(a)]. 233 x / R(T(y,R(y,z,u) \ x),z,u) = R(y,z,u) \ x. [para(45(a,2),174(a,1,2))]. 234 x / (y \ ((x / z) * z)) = y. [hyper(189,a,67,a(flip),b,185,a(flip))]. 236 (x / y) \ x != z | z = y. [para(193(a,2),203(a,1))]. 237 x \ (x * y) != z | z = y. [para(18(a,1),236(a,1,1))]. 238 x \ (y * x) != z | T(y,x) = z. [para(129(a,1),236(a,1,1)),flip(b)]. 240 (x * y) \ (y * x) != z | K(y,x) = z. [para(127(a,1),236(a,1,1)),flip(b)]. 242 T((x * y) / x,x) != z | z = y. [para(115(a,2),237(a,1))]. 244 x / (y \ x) != z * u | z \ y = u. [para(194(a,2),22(a,1))]. 245 (x * (x \ y)) \ z = y \ z. [para(194(a,1),69(a,1,1))]. 246 x / (y \ x) != z | z = y. [para(194(a,2),203(a,1))]. 247 (x * (x \ y)) \ z != u | y \ z = u. [para(194(a,1),236(a,1,1)),flip(b)]. 248 (x * y) / y != z | z = x. [para(16(a,1),246(a,1,2))]. 249 x / x != y | 1 = y. [para(58(a,1),246(a,1,2)),flip(b)]. 250 (x * T(y,x)) / x != z | z = y. [para(144(a,1),246(a,1,2))]. 251 (x * y) / y != z * u | x / u = z. [para(195(a,2),23(a,1))]. 252 ((x / y) * y) * z != u | x * z = u. [para(195(a,1),200(a,1,1)),flip(b)]. 253 x \ (x * y) != z * u | z \ y = u. [para(197(a,2),22(a,1))]. 254 x * (y * (y \ z)) != u | x * z = u. [para(197(a,1),203(a,1,2)),flip(b)]. 255 R(x,y,y \ z) * z = (x * y) * (y \ z). [para(33(a,2),210(a,1,1))]. 256 ((x \ y) \ y) * (T(x,x \ y) \ z) = z. [para(174(a,1),224(a,1,1,1))]. 257 x * ((y / z) \ y) != u | u / z = x. [para(226(a,1),23(a,1)),flip(a)]. 258 (x / T(y,y \ z)) * ((y \ z) \ z) = x. [para(174(a,1),226(a,1,2,1))]. 260 x * y != x * z | z = y. [para(15(a,1),78(a,1))]. 261 x \ (x * y) = L(y,1,x). [para(15(a,1),100(a,1,1))]. 262 L(x,1,y) = x. [hyper(237,a,261,a)]. 265 L(1,x,y) = 1. [hyper(181,a,101,a),flip(a)]. 268 R(1,x,y) = 1. [hyper(249,a,106,a),flip(a)]. 271 (x * y) / y = R(x,1,y). [para(15(a,1),107(a,1,1,1))]. 272 R(x,1,y) = x. [hyper(248,a,271,a)]. 273 R(x,1,y) != z | z = x. [para(271(a,1),248(a,1))]. 276 L((x \ y) \ 1,x \ y,x) = y \ x. [hyper(189,a,245,a(flip),b,140,a)]. 277 L(x \ 1,x,1 / x) = 1 / x. [hyper(189,a,122,a(flip),b,140,a)]. 278 (x * y) * L(y \ 1,y,x) = x. [para(140(a,2),17(a,1,2))]. 279 L(x \ 1,x,y / x) = y \ (y / x). [para(19(a,1),140(a,2,1))]. 280 T((x * y) \ x,z) = L(T(y \ 1,z),y,x). [para(140(a,1),43(a,2,1)),flip(a)]. 281 R((x * y) \ x,z,u) = L(R(y \ 1,z,u),y,x). [para(140(a,1),47(a,1,1))]. 282 L(L(x \ 1,y,z),x,u) = L((u * x) \ u,y,z). [para(140(a,1),48(a,1,1)),flip(a)]. 283 x / L(y \ 1,y,x) = x * y. [para(140(a,2),67(a,1,2))]. 284 L(x,1 / x,y) = (y * (1 / x)) \ y. [para(69(a,1),140(a,1,1))]. 285 R(1 / x,x,y) * z = (y / (x * y)) * z. [hyper(25,a,141,a)]. 286 R(1 / x,x,x \ y) = (x \ y) / y. [para(17(a,1),141(a,2,2))]. 287 R(1 / (x / y),x / y,y) = y / x. [para(19(a,1),141(a,2,2))]. 288 T(x / (y * x),z) = R(T(1 / y,z),y,x). [para(141(a,1),45(a,2,1)),flip(a)]. 289 R(R(1 / x,y,z),x,u) = R(u / (x * u),y,z). [para(141(a,1),49(a,1,1)),flip(a)]. 290 R(1 / x,x,y) \ y = x * y. [para(141(a,2),69(a,1,1))]. 291 x \ (x * (y * z)) != z * u | T(y,z) = u. [para(16(a,2),148(a,2)),flip(a)]. 292 T(x,y) * z != x * y | T(y,T(x,y)) = z. [para(113(a,1),148(a,2))]. 294 (x * y) * K(y,x) != x * z | T(y,x) = z. [para(95(a,2),148(a,2)),flip(a)]. 297 (x / y) * y != z * u | x / u = z. [para(196(a,2),199(a,1))]. 298 x * (x \ y) != z * u | y / u = z. [para(198(a,2),199(a,1))]. 299 x * (y * (y \ 1)) != z * u | z \ x = u. [para(17(a,2),202(a,1,2))]. 300 (x / y) * y != z * u | z \ x = u. [para(196(a,2),202(a,1))]. 301 x * (x \ y) != z * u | z \ y = u. [para(198(a,2),202(a,1))]. 302 x * T(T(y,x),z) != u | T(y,z) * x = u. [para(41(a,1),205(a,1,2))]. 303 x * L(T(y,x),z,u) != w | L(y,z,u) * x = w. [para(43(a,2),205(a,1,2))]. 304 x * R(T(y,x),z,u) != w | R(y,z,u) * x = w. [para(45(a,2),205(a,1,2))]. 305 K(x,1 / x) != y | x * (1 / x) = y. [para(29(a,2),209(a,1)),flip(b)]. 306 L(x,y,1 / y) != z | (1 / y) * (y * x) = z. [para(31(a,2),209(a,1)),flip(b)]. 307 T(x / y,y) != z | y \ x = z. [para(17(a,1),242(a,1,1,1)),flip(b)]. 308 (x * y) * z != x | L(y \ 1,y,x) = z. [para(278(a,1),22(a,1)),flip(a)]. 309 L(L(x \ 1,x,y),y * x,z) = (z * (y * x)) \ (z * y). [para(278(a,1),31(a,2,2,2))]. 310 (x * y) \ x != z | L(y \ 1,y,x) = z. [para(278(a,1),237(a,1,2)),flip(b)]. 311 x / L(y,1 / y,x) = x * (1 / y). [para(69(a,1),283(a,1,2,1))]. 312 L(x \ 1,x,y) * (((y * x) \ y) \ z) = z. [para(283(a,1),223(a,1,2,1,1))]. 313 R(x,x \ 1,y) \ y = (x \ 1) * y. [para(67(a,1),290(a,1,1,1))]. 314 x / (y * x) != z | R(1 / y,y,x) = z. [para(290(a,1),246(a,1,2)),flip(b)]. 315 T(x,x \ y) != z | (x \ y) \ y = z. [para(67(a,1),307(a,1,1))]. 316 T(x,T(y,x)) != z | T(y,x) \ (y * x) = z. [para(129(a,1),307(a,1,1))]. 317 T(x \ y,T(x,x \ y)) != z | T(x,x \ y) \ y = z. [para(174(a,1),307(a,1,1))]. 318 x \ T(y,y \ z) = x \ ((y \ z) \ z). [hyper(75,a,114,a,b,17,a)]. 319 L(x \ 1,x,y) / ((y * x) \ y) = 1. [hyper(76,a,140,a,b,14,a)]. 320 x \ (y * T(y \ x,y)) = K(y \ x,y). [para(113(a,2),96(a,1,2))]. 321 K(x \ 1,x) \ 1 = K(x,x \ 1). [para(165(a,2),97(a,1,1))]. 322 x * T(x \ (y * x),z) = T(y,z) * x. [para(35(a,1),158(a,1,2,1))]. 323 T(x / y,z) * y = y * T(y \ x,z). [para(115(a,1),158(a,1,2,1)),flip(a)]. 324 T(x,y) * T(x,z) = T(x,z) * T(x,y). [para(171(a,1),158(a,1,2,1))]. 325 T((x * y) / x,z) * x = x * T(y,z). [para(142(a,1),158(a,1,2,1)),flip(a)]. 326 (x \ y) * T((x \ y) \ y,z) = T(x,z) * (x \ y). [para(114(a,1),158(a,1,2,1))]. 327 T(x / (x / y),z) * (x / y) = (x / y) * T(y,z). [para(164(a,1),158(a,1,2,1)),flip(a)]. 328 (x * T(x \ y,z)) / x = T(y / x,z). [para(161(a,1),143(a,1,1,2))]. 329 T(x,T(T(x,y),z)) = x. [hyper(38,a,172,a)]. 330 (x * T(y,z)) / x = T((x * y) / x,z). [para(176(a,1),143(a,1,1,2))]. 331 x * T(y,z) != u * x | T((x * y) / x,z) = u. [para(176(a,1),149(a,1,2)),flip(b)]. 332 (x * T(y,z)) / x != u | T((x * y) / x,z) = u. [para(176(a,1),250(a,1,1,2)),flip(b)]. 333 T(T(x,y),z) != u | T(T(x,z),y) = u. [para(178(a,1),242(a,1,1)),flip(b)]. 334 (x \ y) * x != y * z | K(x \ y,x) = z. [para(213(a,1),22(a,1))]. 335 (x * y) \ (x * ((z \ y) * z)) = L(K(z \ y,z),y,x). [para(213(a,1),31(a,2,2,2)),flip(a)]. 336 x \ ((y \ x) * y) != z | K(y \ x,y) = z. [para(213(a,1),237(a,1,2)),flip(b)]. 338 x \ (y * (x / y)) != z | K(y,x / y) = z. [para(214(a,1),237(a,1,2)),flip(b)]. 339 1 / K(x,x \ 1) = K(x \ 1,x). [hyper(189,a,165,a,b,222,a)]. 340 (x * y) * L(z,y,x) != x * u | y * z = u. [para(31(a,2),81(a,1,2)),flip(b)]. 341 (x * y) / L(z \ y,z,x) = x * z. [hyper(76,a,89,a(flip),b,102,a)]. 342 x \ ((x * y) * L(z,y,x)) = y * z. [hyper(75,a,102,a,b,xx)]. 343 L(x \ (y \ ((y * x) * z)),x,y) = z. [hyper(20,a,63,a(flip),b,102,a)]. 344 x * L(y,z \ x,z) = z * ((z \ x) * y). [hyper(189,a,91,a(flip),b,102,a(flip)),flip(a)]. 345 x * L(y,z,x / z) = (x / z) * (z * y). [hyper(189,a,90,a(flip),b,102,a(flip)),flip(a)]. 346 (x * y) * z != x * (y * u) | L(u,y,x) = z. [para(102(a,1),22(a,1)),flip(a)]. 347 (x * (y * z)) \ ((x * y) * (L(z,y,x) * u)) = L(u,L(z,y,x),x * y). [para(102(a,1),31(a,2,1)),flip(a)]. 348 (x * (y * z)) \ (x * (y * (z * u))) = L(L(u,z,y),y * z,x). [para(102(a,1),31(a,2,2,2)),flip(a)]. 349 (x * (y * z)) / (y * L(z,y,x)) = R(x,y,L(z,y,x)). [para(102(a,1),33(a,2,1)),flip(a)]. 350 (x * y) * T(L(z,y,x),u) = x * (y * T(z,u)). [para(43(a,1),102(a,1,2))]. 351 (x * y) * R(L(z,y,x),u,w) = x * (y * R(z,u,w)). [para(47(a,2),102(a,1,2))]. 352 (x * y) * L(L(z,y,x),u,w) = x * (y * L(z,u,w)). [para(48(a,1),102(a,1,2))]. 353 (x * y) * L(z,T(x,y),y) = y * (T(x,y) * z). [para(113(a,1),102(a,1,1))]. 354 K(x \ 1,x) * L(y,x,x \ 1) = (x \ 1) * (x * y). [para(165(a,2),102(a,1,1))]. 355 (x * y) \ (x * (y * z)) != u | L(z,y,x) = u. [para(102(a,1),237(a,1,2)),flip(b)]. 356 x \ ((x * y) * L(z,y,x)) != u | y * z = u. [para(102(a,2),237(a,1,2)),flip(b)]. 357 x * ((x \ 1) * y) != z | L(y,x \ 1,x) = z. [para(102(a,1),135(a,1)),flip(b)]. 358 (1 / x) * (x * y) != z | L(y,x,1 / x) = z. [para(102(a,1),136(a,1)),flip(b)]. 359 L((x \ y) \ z,x \ y,x) = y \ (x * z). [hyper(189,a,245,a(flip),b,104,a)]. 360 L(x \ T(y * x,y),x,y) = y. [hyper(189,a,144,a(flip),b,104,a)]. 361 L(x \ y,x,1 / x) = (1 / x) * y. [hyper(189,a,122,a(flip),b,104,a)]. 362 L((x \ 1) \ y,x \ 1,x) = x * y. [hyper(189,a,121,a(flip),b,104,a)]. 363 L(x \ ((y * x) / y),x,y) = K(y,(y * x) / y). [hyper(189,a,98,a(flip),b,104,a)]. 364 L(x \ y,x,z / x) = z \ ((z / x) * y). [para(19(a,1),104(a,2,1))]. 365 L(T(x,y) \ z,T(x,y),y) = (x * y) \ (y * z). [para(113(a,1),104(a,2,1))]. 366 L(x \ T(y,z),x,z) = (z * x) \ (y * z). [para(113(a,1),104(a,2,2))]. 367 L((x \ 1) \ y,x \ 1,x) != z | x * y = z. [para(104(a,2),208(a,1)),flip(b)]. 368 L(L(x,y,z) \ u,L(x,y,z),z * y) = (z * (y * x)) \ ((z * y) * u). [para(102(a,1),104(a,2,1))]. 369 (x * y) * (y \ 1) = R(x,y,y \ 1). [hyper(137,a,110,a),flip(a)]. 370 R(x,x \ y,z) \ (y * z) = (x \ y) * z. [hyper(75,a,91,a(flip),b,110,a)]. 371 R(x / y,y,z) \ (x * z) = y * z. [hyper(75,a,90,a(flip),b,110,a)]. 372 R(((x * (y * z)) / z) / y,y,z) = x. [hyper(21,a,73,a(flip),b,110,a)]. 373 R(x,y,y \ 1) / (y \ 1) = x * y. [hyper(76,a,62,a(flip),b,110,a(flip))]. 374 (x * y) \ R(x,y,y \ 1) = y \ 1. [hyper(75,a,62,a(flip),b,110,a(flip))]. 375 R(x,y / z,z) * y = (x * (y / z)) * z. [para(19(a,1),110(a,1,2))]. 376 (x * y) * z != u * (y * z) | R(x,y,z) = u. [para(110(a,1),23(a,1))]. 377 ((x * y) * z) \ ((R(x,y,z) * y) * z) = a(R(x,y,z),y,z). [para(110(a,1),27(a,2,1)),flip(a)]. 378 (((x * y) * z) * u) / ((y * z) * u) = R(R(x,y,z),y * z,u). [para(110(a,1),33(a,2,1,1)),flip(a)]. 379 ((x * R(y,z,u)) * (z * u)) / ((y * z) * u) = R(x,R(y,z,u),z * u). [para(110(a,1),33(a,2,2)),flip(a)]. 380 T(R(x,y,z),u) * (y * z) = (T(x,u) * y) * z. [para(45(a,1),110(a,1,1))]. 381 L(R(x,y,z),u,w) * (y * z) = (L(x,u,w) * y) * z. [para(47(a,1),110(a,1,1))]. 382 R(R(x,y,z),u,w) * (y * z) = (R(x,u,w) * y) * z. [para(49(a,1),110(a,1,1))]. 383 R(x,y,T(z,y)) * (z * y) = (x * y) * T(z,y). [para(113(a,1),110(a,1,2))]. 384 R(x,y * z,K(z,y)) * (z * y) = (x * (y * z)) * K(z,y). [para(95(a,1),110(a,1,2))]. 385 ((x * y) * z) / (y * z) != u | R(x,y,z) = u. [para(110(a,1),248(a,1,1)),flip(b)]. 386 (R(x,y,z) * (y * z)) / z != u | x * y = u. [para(110(a,2),248(a,1,1)),flip(b)]. 387 (x * y) * (y \ 1) != z | R(x,y,y \ 1) = z. [para(110(a,1),137(a,1))]. 389 ((x * y) * z) * L(u,y * z,R(x,y,z)) = R(x,y,z) * ((y * z) * u). [para(110(a,1),102(a,1,1))]. 390 R(x / y,y,x \ z) = z / (y * (x \ z)). [para(17(a,1),111(a,2,1))]. 391 R(x / (y / z),y / z,z) = (x * z) / y. [para(19(a,1),111(a,2,2))]. 392 T((x * y) / (z * y),u) = R(T(x / z,u),z,y). [para(111(a,1),45(a,2,1)),flip(a)]. 393 T(R(x / y,y,z),y * z) = (y * z) \ (x * z). [para(111(a,2),115(a,1,1))]. 394 R(x / T(y,z),T(y,z),y) = (x * y) / (y * T(y,z)). [para(173(a,1),111(a,2,2))]. 395 R(x / y,y,x \ z) \ z = y * (x \ z). [para(111(a,2),184(a,1,1))]. 396 R(R(x,y,z) / u,u,y * z) = ((x * y) * z) / (u * (y * z)). [para(110(a,1),111(a,2,1))]. 397 R(x / R(y,z,u),R(y,z,u),z * u) = (x * (z * u)) / ((y * z) * u). [para(110(a,1),111(a,2,2))]. 398 (x * y) / L(z,y / z,x) = x * (y / z). [para(19(a,1),128(a,1,1,2))]. 399 R(x * y,K(y,x),z) \ ((y * x) * z) = K(y,x) * z. [para(95(a,1),133(a,1,2,1))]. 400 R(x * y,L(z,y,x),u) \ ((x * (y * z)) * u) = L(z,y,x) * u. [para(102(a,1),133(a,1,2,1))]. 401 x / K(x \ 1,x) = R(x,x \ 1,x). [para(165(a,2),139(a,2,2)),flip(a)]. 402 x \ L(L(y,x \ 1,x),z,u) = (x \ 1) * L(y,z,u). [hyper(75,a,48,a,b,166,a)]. 403 (1 / x) \ L(L(y,x,1 / x),z,u) = x * L(y,z,u). [hyper(75,a,48,a,b,169,a)]. 404 x * ((x \ y) * z) != y * u | L(z,x \ y,x) = u. [para(102(a,1),212(a,1))]. 406 (x * y) / y != z * u | z \ x = u. [para(16(a,1),244(a,1,2))]. 410 (R(x,y,z) * (y * z)) / z != u * w | (x * y) / w = u. [para(110(a,2),251(a,1,1))]. 411 (x * (x \ y)) * z != u | y * z = u. [para(67(a,1),252(a,1,1,1))]. 413 x \ (y * (y \ x)) != z * u | z \ 1 = u. [para(198(a,2),253(a,1,2))]. 415 T(x \ (x / y),z) = L(T(y \ 1,z),y,x / y). [para(279(a,1),43(a,2,1)),flip(a)]. 416 K(x,1 / x) \ x = L(x,1 / x,x). [para(168(a,2),284(a,2,1)),flip(a)]. 417 T((x \ y) / y,z) = R(T(1 / x,z),x,x \ y). [para(286(a,1),45(a,2,1)),flip(a)]. 418 (((x / y) / z) * z) * y != u * w | x / w = u. [para(19(a,2),297(a,1,1))]. 420 ((x / y) * y) * z != u * w | (x * z) / w = u. [para(195(a,1),297(a,1,1))]. 423 ((1 / x) * x) * y != z * u | y / u = z. [para(122(a,1),298(a,1,2))]. 424 x * (y * (y \ z)) != u * w | (x * z) / w = u. [para(197(a,1),298(a,1,2))]. 425 x \ (x * y) != z * u | y / u = z. [para(197(a,2),298(a,1))]. 426 x * y != z * u | z \ (x * y) = u. [para(18(a,1),300(a,1,1))]. 428 x * T(y,x) != z * u | z \ (y * x) = u. [para(129(a,1),300(a,1,1))]. 429 (x * y) * K(y,x) != z * u | z \ (y * x) = u. [para(127(a,1),300(a,1,1))]. 430 ((x / y) * y) * z != u * w | u \ (x * z) = w. [para(195(a,1),300(a,1,1))]. 431 x * (y * (y \ (x \ z))) != u * w | u \ z = w. [para(17(a,2),301(a,1,2))]. 432 x * (y * (y \ z)) != u * w | u \ (x * z) = w. [para(197(a,1),301(a,1,2))]. 435 T(x \ y,T(x,x \ y)) != z | ((x \ y) \ y) \ y = z. [para(114(a,2),315(a,1,2))]. 437 (x * y) \ (x * z) != u | L(y \ z,y,x) = u. [para(341(a,1),236(a,1,1)),flip(b)]. 440 L(T(x \ y,z),x,1 / x) = T((1 / x) * y,z). [para(361(a,1),43(a,2,1))]. 441 L(R(x \ y,z,u),x,1 / x) = R((1 / x) * y,z,u). [para(361(a,1),47(a,1,1)),flip(a)]. 442 L(L(x \ y,z,u),x,1 / x) = L((1 / x) * y,z,u). [para(361(a,1),48(a,1,1)),flip(a)]. 443 L(T((x \ 1) \ y,z),x \ 1,x) = T(x * y,z). [para(362(a,1),43(a,2,1))]. 444 L(R((x \ 1) \ y,z,u),x \ 1,x) = R(x * y,z,u). [para(362(a,1),47(a,1,1)),flip(a)]. 445 R(x / y,y,y \ 1) = x * (y \ 1). [hyper(252,a,369,a),flip(a)]. 446 R(1 / x,x,x \ 1) = x \ 1. [hyper(136,a,369,a)]. 447 (x \ 1) \ R(y,x,x \ 1) = T(y * x,x \ 1). [hyper(75,a,369,a(flip),b,113,a)]. 448 (x * (y \ 1)) * T(y,y \ 1) = R(x,y \ 1,(y \ 1) \ 1). [para(114(a,2),369(a,1,2))]. 450 R(x / y,y,T(z,x)) \ (z * x) = y * T(z,x). [para(113(a,1),371(a,1,2))]. 451 (x * y) / (z * y) != u | R(x / z,z,y) = u. [para(371(a,1),246(a,1,2)),flip(b)]. 452 R(R(1 / x,x,y),x * y,z) \ (y * z) = (x * y) * z. [para(141(a,2),371(a,1,1,1))]. 453 R(x,y,y \ 1) / (y \ 1) != z * y | z = x. [para(373(a,2),23(a,2)),flip(a)]. 455 ((x / y) \ x) * z != u | y * z = u. [para(193(a,2),411(a,1,1))]. 456 (x / (y \ x)) * z != u | y * z = u. [para(194(a,2),411(a,1,1))]. 457 K(x,1 / x) * L(x,1 / x,x) = x. [para(416(a,1),17(a,1,2))]. 460 R(x,y,z) \ ((x * y) * z) != u * w | (y * z) / w = u. [para(110(a,1),425(a,1,2))]. 462 R(T(x / y,z),y,y \ 1) = T(x * (y \ 1),z). [para(445(a,1),45(a,2,1))]. 463 R(L(x / y,z,u),y,y \ 1) = L(x * (y \ 1),z,u). [para(445(a,1),47(a,2,1))]. 464 R(R(x / y,z,u),y,y \ 1) = R(x * (y \ 1),z,u). [para(445(a,1),49(a,1,1)),flip(a)]. 465 ((x \ y) \ y) * z != u | T(x,x \ y) * z = u. [para(174(a,1),455(a,1,1,1))]. 466 K(x,1 / x) * y != x | L(x,1 / x,x) = y. [para(457(a,1),22(a,1)),flip(a)]. 467 (x * (y * x)) * (1 / x) = x * y. [para(15(a,1),117(a,2,2))]. 468 x * ((x \ y) * x) = y / (1 / x). [hyper(76,a,17,a(flip),b,467,a),flip(a)]. 469 (x * y) * (1 / x) = x * (y / x). [para(19(a,1),467(a,1,1,2))]. 470 x \ (y / (1 / x)) = (x \ y) * x. [hyper(80,a,468,a)]. 471 (x \ (y * (1 / x))) * x = x \ y. [hyper(75,a,18,a(flip),b,468,a),flip(a)]. 472 L(x,x \ 1,x) = 1 / (1 / x). [hyper(189,a,166,a(flip),b,468,a(flip)),flip(a)]. 473 (x / (1 / y)) * ((1 / y) * z) = y * ((y \ x) * z). [para(468(a,1),50(a,1,1))]. 474 x * K(x \ 1,x) = 1 / (1 / x). [para(165(a,2),468(a,1,2))]. 475 L(R(x,y,z),x \ 1,x) = R(1 / (1 / x),y,z). [para(472(a,1),47(a,1,1)),flip(a)]. 476 (x \ 1) * (y / (x \ 1)) = ((x \ 1) * y) * x. [para(67(a,1),469(a,1,2)),flip(a)]. 477 x \ (1 / (1 / x)) = K(x \ 1,x). [hyper(189,a,165,a,b,470,a)]. 478 ((x \ 1) \ y) * (x \ 1) = (x \ 1) \ (y / x). [para(67(a,1),470(a,1,2,2)),flip(a)]. 482 (x \ 1) * ((x * y) * x) = y * x. [para(14(a,1),119(a,2,1))]. 483 ((1 / x) * y) * (1 / x) = x \ (y * (1 / x)). [hyper(225,a,482,a),flip(a)]. 484 (x \ 1) * ((x * 1) * x) = x. [hyper(189,a,14,a(flip),b,482,a)]. 485 (x * (y / x)) * x = (x \ 1) \ y. [hyper(75,a,19,a(flip),b,482,a),flip(a)]. 486 (x \ 1) * (y * x) = (x \ y) * x. [para(17(a,1),482(a,1,2,1))]. 487 (x \ 1) * y != z * x | (x * z) * x = y. [para(482(a,1),22(a,1)),flip(a)]. 488 (x \ 1) * (x * x) = x. [para(15(a,1),484(a,1,2,1))]. 489 (x \ 1) \ x = x * x. [hyper(80,a,488,a)]. 491 (x * (y \ 1)) * ((y \ 1) \ z) = (x * (z / y)) * y. [para(485(a,1),51(a,1,2))]. 492 K(x,1 / x) * x = (x \ 1) \ 1. [para(168(a,2),485(a,1,1))]. 493 x \ (y / (1 / x)) = (x \ 1) * (y * x). [hyper(189,a,470,a,b,486,a),flip(a)]. 494 ((x \ 1) \ 1) / x = K(x,1 / x). [hyper(88,a,492,a)]. 495 ((x \ 1) \ 1) / x != y | K(x,1 / x) = y. [para(492(a,1),248(a,1,1)),flip(b)]. 496 K(1 / x,1 / (1 / x)) = (x \ 1) / (1 / x). [para(69(a,1),494(a,1,1,1)),flip(a)]. 497 T(x / y,(z / y) \ z) = y \ x. [hyper(147,a,226,a,b,224,a)]. 498 x * (y * T(z,x * y)) = L(z,y,x) * (x * y). [hyper(189,a,102,a(flip),b,159,a(flip)),flip(a)]. 499 (x * (L(y,z,u) * w)) \ ((x * w) * L(T(y,w),z,u)) = a(x,w,L(T(y,w),z,u)). [para(159(a,1),27(a,2,1,2)),flip(a)]. 500 x * L(x \ (y * x),z,u) = L(y,z,u) * x. [para(35(a,1),159(a,1,2,1))]. 501 x * L(R(T(y,x),z,u),w,v5) = L(R(y,z,u),w,v5) * x. [para(45(a,2),159(a,1,2,1))]. 502 L(x / y,z,u) * y = y * L(y \ x,z,u). [para(115(a,1),159(a,1,2,1)),flip(a)]. 503 L((x * y) / x,z,u) * x = x * L(y,z,u). [para(142(a,1),159(a,1,2,1)),flip(a)]. 504 L(L(x,y,z),u,w) * x = x * L(L(x,y,z),u,w). [para(125(a,1),159(a,1,2,1)),flip(a)]. 505 (x * y) * R(T(z,x * y),x,y) = (z * x) * y. [hyper(189,a,110,a(flip),b,160,a)]. 506 ((x * y) * z) / R(T(x,y * z),y,z) = y * z. [hyper(76,a,110,a(flip),b,160,a)]. 507 (x * y) \ ((z * x) * y) = R(T(z,x * y),x,y). [hyper(75,a,110,a(flip),b,160,a)]. 509 x * R(T(T(y,x),z),u,w) = R(T(y,z),u,w) * x. [para(41(a,1),160(a,1,2,1))]. 510 R(x / y,z,u) * y = y * R(y \ x,z,u). [para(115(a,1),160(a,1,2,1)),flip(a)]. 511 R(T(x,y),z,u) * x = x * R(T(x,y),z,u). [para(124(a,1),160(a,1,2,1)),flip(a)]. 512 R((x * y) / x,z,u) * x = x * R(y,z,u). [para(142(a,1),160(a,1,2,1)),flip(a)]. 513 (x \ y) * R((x \ y) \ y,z,u) = R(x,z,u) * (x \ y). [para(114(a,1),160(a,1,2,1))]. 514 R(x / (x / y),z,u) * (x / y) = (x / y) * R(y,z,u). [para(164(a,1),160(a,1,2,1)),flip(a)]. 515 (x * L(x \ y,z,u)) / x = L(y / x,z,u). [para(162(a,1),143(a,1,1,2))]. 516 (x * R(x \ y,z,u)) / x = R(y / x,z,u). [para(163(a,1),143(a,1,1,2))]. 517 T(x / (y * x),y) = R(y \ 1,y,x). [para(141(a,1),163(a,1,1))]. 518 T((x * y) / (z * y),z) = R(z \ x,z,y). [para(111(a,1),163(a,1,1))]. 519 R(x \ (y / z),x,z) = T(y / (x * z),x). [para(187(a,1),163(a,1,1)),flip(a)]. 520 R(x \ 1,x,x \ 1) = T(x \ 1,x). [para(446(a,1),163(a,1,1)),flip(a)]. 521 R(x \ y,x,x \ 1) = T(y * (x \ 1),x). [para(445(a,1),163(a,1,1)),flip(a)]. 522 (x / (y * x)) * y = y * R(y \ 1,y,x). [para(517(a,1),113(a,1,2)),flip(a)]. 523 T(x,x \ y) \ z = ((x \ y) \ y) \ z. [hyper(301,a,219,a),flip(a)]. 524 ((x \ y) \ y) * T(z,T(x,x \ y)) = z * T(x,x \ y). [hyper(205,a,219,a),flip(a)]. 525 T(T(x,x \ y),z) = T((x \ y) \ y,z). [hyper(147,a,219,a,b,113,a)]. 526 T(x,x \ y) \ (((x \ y) \ y) * z) = z. [hyper(81,a,219,a)]. 527 (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) = K(z,(x \ y) \ y). [para(219(a,2),29(a,2,1)),flip(a)]. 528 (T(x,x \ y) * z) \ (((x \ y) \ y) * (z * u)) = L(u,z,(x \ y) \ y). [para(219(a,2),31(a,2,1)),flip(a)]. 530 (x / ((y \ z) \ z)) * T(y,y \ z) = x. [hyper(189,a,19,a(flip),b,220,a)]. 531 (x * T(y,y \ z)) / ((y \ z) \ z) = x. [hyper(76,a,220,a,b,xx)]. 534 (x \ y) * T(T((x \ y) \ y,z),u) = T(T(x,z),u) * (x \ y). [para(221(a,1),158(a,1,2,1))]. 535 ((x \ y) \ y) \ z != u | T(x,x \ y) \ z = u. [para(256(a,1),237(a,1,2)),flip(b)]. 536 x \ ((x / T(y,y \ z)) * (((y \ z) \ z) * u)) = L(u,(y \ z) \ z,x / T(y,y \ z)). [para(258(a,1),31(a,2,1)),flip(a)]. 537 x \ (x / y) != z | L(y \ 1,y,x / y) = z. [para(19(a,1),310(a,1,1))]. 538 T(x,y) / (x * y) != z | R(1 / y,y,T(x,y)) = z. [para(113(a,1),314(a,1,2))]. 539 (1 / x) / K(x,1 / x) != y | R(1 / x,x,1 / x) = y. [para(168(a,2),314(a,1,2))]. 540 ((x \ y) \ y) / T(z,z \ T(x,x \ y)) = z \ ((x \ y) \ y). [para(318(a,2),174(a,1,2,2))]. 541 x * T(x \ (y * x),z) != u * w | u \ (T(y,z) * x) = w. [para(322(a,2),426(a,1))]. 543 ((((x * y) / x) \ z) \ z) * x = x * T(y,((x * y) / x) \ z). [hyper(189,a,219,a(flip),b,325,a(flip)),flip(a)]. 544 T(x / y,z) * y != u | y * T(y \ x,z) = u. [para(328(a,1),200(a,1,1)),flip(b)]. 546 T((x * (y / z)) / x,z) = (x * (z \ y)) / x. [para(115(a,1),330(a,1,1,2)),flip(a)]. 547 T((x * y) / x,z) * x != u | x * T(y,z) = u. [para(330(a,1),200(a,1,1)),flip(b)]. 548 T(T((x * y) / x,z),x) != u | T(y,z) = u. [para(330(a,1),242(a,1,1)),flip(b)]. 550 x \ (((y / (1 / x)) * z) / z) = (x \ 1) * (y * x). [para(18(a,2),493(a,1,2))]. 551 T(x,x \ y) * z != u | ((x \ y) \ y) * z = u. [para(526(a,1),203(a,1,2)),flip(b)]. 553 (x * (y * z)) \ ((x * y) * z) != u | a(x,y,z) = u. [para(92(a,1),237(a,1,2)),flip(b)]. 554 L(T(x,y),y,x) = T(x,x * y). [hyper(238,a,154,a),flip(a)]. 555 (R(x,y,z) * z) \ ((x * y) * z) = L(T(y,z),z,R(x,y,z)). [para(110(a,1),154(a,1,2))]. 556 L(T(x,y \ z),y \ z,y) != u | z \ (y * (x * (y \ z))) = u. [para(154(a,1),247(a,1))]. 557 T(L(x,y,x),y) = T(x,x * y). [hyper(189,a,43,a(flip),b,554,a(flip)),flip(a)]. 558 L(R(T(x,y),z,u),y,x) = R(T(x,x * y),z,u). [para(554(a,1),47(a,1,1)),flip(a)]. 559 x * T(y,y * x) = L(y,x,y) * x. [para(554(a,1),159(a,1,2))]. 560 (x * y) * R(L(T(x,y),y,x),z,u) = R(x,z,u) * (x * y). [para(554(a,2),160(a,1,2,1))]. 561 (x * T(y,y * x)) / x = L(y,x,y). [para(557(a,1),143(a,1,1,2))]. 562 x * L(T(y,y * x),z,u) = L(L(y,x,y),z,u) * x. [para(557(a,1),159(a,1,2,1))]. 563 T((x * y) / x,y * x) = L(y,x,y). [hyper(21,a,325,a,b,559,a(flip)),flip(a)]. 564 L(x,T(y,x),x) * T(y,x) = T(y,x) * T(x,y * x). [para(113(a,1),559(a,1,2,2)),flip(a)]. 565 T(((x \ y) * x) / (x \ y),y) = L(x,x \ y,x). [para(17(a,1),563(a,1,2))]. 566 T(T((x * y) / x,z),y * x) = T(L(y,x,y),z). [para(563(a,1),41(a,1,1)),flip(a)]. 567 (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(218(a,1),323(a,1,1,1)),flip(a)]. 568 x * R(T(y,x),z,z \ x) = (y * z) * (z \ x). [hyper(189,a,160,a,b,255,a(flip)),flip(a)]. 569 (x * y) * T((x * y) \ x,z) = x * (y * T(y \ 1,z)). [para(280(a,2),102(a,1,2))]. 570 (x / (y * x)) * (R(1 / y,y,x) \ z) = z. [hyper(203,a,285,a)]. 571 x * T(x \ (y * x),z) != u | T(y,z) * x = u. [para(35(a,1),302(a,1,2,1))]. 572 x * T(T(T(y,x),z),u) != w | T(T(y,z),u) * x = w. [para(41(a,1),302(a,1,2,1))]. 573 L(x \ 1,x,y) \ z = ((y * x) \ y) \ z. [hyper(80,a,312,a)]. 574 K(L(x \ 1,x,y) \ 1,L(x \ 1,x,y)) = ((y * x) \ y) \ (1 / (1 / L(x \ 1,x,y))). [hyper(20,a,474,a,b,312,a),flip(a)]. 575 x \ (y * T(y \ x,y)) != z | K(y \ x,y) = z. [para(113(a,2),336(a,1,2))]. 576 x * L(L(y,z \ x,z),u,w) = z * ((z \ x) * L(y,u,w)). [para(48(a,1),344(a,1,2))]. 577 x \ (y * ((y \ x) * z)) != u | L(z,y \ x,y) = u. [para(344(a,1),237(a,1,2)),flip(b)]. 579 L(x \ y,x,y / x) = T(y / x,y). [hyper(147,a,89,a(flip),b,345,a),flip(a)]. 580 x * L(L(y,z,x / z),u,w) = (x / z) * (z * L(y,u,w)). [para(48(a,1),345(a,1,2))]. 581 a(x,y,z) = L(((x * y) \ (x * (y * z))) \ z,(x * y) \ (x * (y * z)),x * y). [hyper(189,a,27,a,b,359,a),flip(a)]. 582 L(T((x \ y) \ z,u),x \ y,x) = T(y \ (x * z),u). [para(359(a,1),43(a,2,1))]. 583 L(R((x \ y) \ z,u,w),x \ y,x) = R(y \ (x * z),u,w). [para(359(a,1),47(a,1,1)),flip(a)]. 584 K(x,y) = L(x \ T(x,y),x,y). [hyper(189,a,29,a,b,366,a),flip(a)]. 585 L(T(x \ T(y,z),u),x,z) = T((z * x) \ (y * z),u). [para(366(a,1),43(a,2,1))]. 587 R(x,x \ (y / z),z) \ y = (x \ (y / z)) * z. [para(19(a,1),370(a,1,2))]. 588 (x * y) / ((z \ x) * y) != u | R(z,z \ x,y) = u. [para(370(a,1),246(a,1,2)),flip(b)]. 589 (x * (1 / y)) * y = R(x,1 / y,y). [hyper(86,a,375,a),flip(a)]. 590 (x * (y / z)) * z != u * y | R(x,y / z,z) = u. [para(375(a,1),23(a,1))]. 591 (x * (1 / y)) * y != z | R(x,1 / y,y) = z. [para(375(a,1),85(a,1)),flip(b)]. 592 R(T(x / (y / z),u),y / z,z) * y = ((y / z) * T((y / z) \ x,u)) * z. [para(323(a,1),375(a,2,1))]. 593 R(x / (1 / y),1 / y,y) = x * y. [hyper(252,a,589,a),flip(a)]. 594 R(R(x,1 / y,y),z,u) / y = R(x,z,u) * (1 / y). [hyper(76,a,49,a,b,589,a)]. 595 L(R(x,1 / y,y),z,u) / y = L(x,z,u) * (1 / y). [hyper(76,a,47,a(flip),b,589,a)]. 596 R(T(x / (1 / y),z),1 / y,y) = T(x * y,z). [para(593(a,1),45(a,2,1))]. 597 R(T(x / (y / z),u),y / z,z) = T((x * z) / y,u). [para(391(a,1),45(a,2,1))]. 598 R((x / y) \ z,x / y,y) = T((z * y) / x,x / y). [para(391(a,1),163(a,1,1)),flip(a)]. 599 T(x * (y / z),L(z,y / z,x)) = L(z,y / z,x) \ (x * y). [para(398(a,1),115(a,1,1))]. 602 T(x,x \ 1) / x != y | K(x,1 / x) = y. [para(114(a,2),495(a,1,1))]. 603 R(x,y,z) = T(((y * x) * z) / (y * z),y). [para(16(a,1),518(a,2,1)),flip(a)]. 604 T((x * (y \ z)) / z,y) = R(y \ x,y,y \ z). [para(17(a,1),518(a,1,1,2))]. 605 ((x \ (y / (x \ z))) * x) * (x \ z) = T(y / (x * (x \ z)),x) * z. [para(519(a,1),255(a,1,1)),flip(a)]. 606 ((x \ y) * x) * (x \ 1) = T(y * (x \ 1),x). [hyper(189,a,369,a,b,521,a(flip)),flip(a)]. 607 (x * R(x \ 1,x,y)) \ (x * (y / (x * y))) != z | K(x,y / (x * y)) = z. [para(522(a,1),240(a,1,1))]. 608 T((((x * y) / x) \ z) \ z,x) != u | T(y,((x * y) / x) \ z) = u. [para(114(a,1),548(a,1,1))]. 609 ((x \ y) / y) * (R(1 / x,x,x \ y) \ z) = z. [para(17(a,1),570(a,1,1,2))]. 610 R(1 / x,x,y) != z | y / (x * y) = z. [para(570(a,1),138(a,1))]. 611 L(x \ 1,x,y) \ (z * ((y * x) \ y)) = T(z,(y * x) \ y). [hyper(189,a,35,a,b,573,a)]. 612 (((x * y) * z) / (x * z)) * x = x * R(y,x,z). [para(603(a,2),113(a,1,2)),flip(a)]. 613 T(R(x,y,x),y * x) = T(x,y). [para(603(a,2),176(a,1,1))]. 614 R(x,y,x) * (y * x) = (y * x) * T(x,y). [para(603(a,2),325(a,1,1))]. 615 R(T(x,y * x),y,x) = T(x,y). [hyper(189,a,45,a,b,613,a(flip)),flip(a)]. 617 R(R(x,y,x),z,u) * (y * x) = (y * x) * R(T(x,y),z,u). [para(613(a,1),160(a,1,2,1)),flip(a)]. 618 R(T(x,y),y / x,x) = T(x,y / x). [para(19(a,1),615(a,1,1,2))]. 619 (T(x,y * x) * y) * x = T(x,y) * (y * x). [para(615(a,1),110(a,1,1)),flip(a)]. 620 R(x,1 / x,x) = T(x,1 / x). [para(188(a,1),618(a,1,1))]. 621 (x * y) * T(y,x) = (y * x) * y. [hyper(189,a,110,a(flip),b,614,a(flip))]. 622 (x * (y / x)) * x = y * T(x,y / x). [hyper(252,a,621,a),flip(a)]. 623 (T(x,y) * (y * x)) \ ((x * y) * x) = K(y * x,T(x,y)). [hyper(75,a,621,a(flip),b,95,a)]. 625 T(x,1 / x) = (x \ 1) \ 1. [hyper(74,a,485,a(flip),b,622,a(flip))]. 626 T(x,1 / x) = T(x,x \ 1). [hyper(189,a,114,a,b,625,a)]. 627 T(x \ 1,x) = ((x \ 1) \ 1) \ 1. [para(67(a,1),625(a,1,2))]. 628 ((1 / x) * ((x \ 1) \ 1)) / (1 / x) != y | y = x. [para(625(a,1),250(a,1,1,2))]. 629 R(x,1 / x,x) = T(x,x \ 1). [hyper(189,a,620,a,b,626,a(flip)),flip(a)]. 630 (x * T(y,y \ 1)) / x = T((x * y) / x,1 / y). [para(626(a,1),330(a,1,1,2))]. 631 R(R(x,y,z),1 / x,x) = R(T(x,x \ 1),y,z). [para(629(a,1),49(a,1,1)),flip(a)]. 632 T(x,x \ 1) \ 1 = T(x \ 1,x). [hyper(189,a,523,a,b,627,a),flip(a)]. 633 1 / T(x \ 1,x) = (x \ 1) \ 1. [para(627(a,2),67(a,1,2))]. 634 x / L(T(y \ 1,y),T(y,y \ 1),x) = x * T(y,y \ 1). [para(632(a,1),283(a,1,2,1))]. 635 R(T(T(x,y),z),u,w) = T(T(R(x,u,w),z),y). [hyper(189,a,45,a,b,116,a),flip(a)]. 636 ((x \ 1) * y) * ((1 / (x \ 1)) * x) = (x \ (y / (x \ 1))) * x. [hyper(189,a,486,a(flip),b,118,a)]. 637 (x / (y \ 1)) * (y \ z) = (x * (z * y)) / y. [hyper(76,a,90,a(flip),b,120,a(flip)),flip(a)]. 639 R(R(x,y,z),u,w) * (y * z) != v5 | (R(x,u,w) * y) * z = v5. [para(49(a,1),204(a,1,1))]. 641 (x * y) * T(L(z,y,x),u) != w | x * (y * T(z,u)) = w. [para(43(a,1),207(a,1,2))]. 642 (x * y) * R(L(z,y,x),u,w) != v5 | x * (y * R(z,u,w)) = v5. [para(47(a,2),207(a,1,2))]. 643 (x * y) * (K(y,x) * z) != (y * x) * u | L(z,K(y,x),x * y) = u. [para(95(a,1),346(a,1,1)),flip(a)]. 644 (x * y) \ (y * (T(x,y) * z)) != u | L(z,T(x,y),y) = u. [para(113(a,1),355(a,1,1))]. 645 (x * y) \ (x * (z * y)) != u | L(T(z,y),y,x) = u. [para(113(a,1),355(a,1,2,2))]. 646 (x * (y * z)) \ (x * (y * (z * u))) != w | L(L(u,z,y),y * z,x) = w. [para(102(a,1),355(a,1,2,2))]. 647 (x * y) \ (x * (1 / (1 / y))) != z | L(K(y \ 1,y),y,x) = z. [para(474(a,1),355(a,1,2,2))]. 649 ((1 / (1 / x)) * y) / (K(x \ 1,x) * y) != z | R(x,K(x \ 1,x),y) = z. [para(474(a,1),385(a,1,1,1))]. 650 ((x * y) * R(T(z,y),u,w)) / (R(z,u,w) * y) != v5 | R(x,y,R(T(z,y),u,w)) = v5. [para(160(a,1),385(a,1,2))]. 651 (x * ((x \ 1) * y)) * x = y / (x \ 1). [hyper(487,a,476,a)]. 652 (x \ 1) * y != ((x \ 1) * z) * x | z / (x \ 1) = y. [para(476(a,1),22(a,1)),flip(a)]. 653 ((x \ 1) \ y) / (x \ 1) = (x * y) * x. [para(17(a,1),651(a,1,1,2)),flip(a)]. 655 ((x * y) * x) * (x \ 1) = (x \ 1) \ y. [para(653(a,1),19(a,1,1))]. 656 (x \ 1) \ (x \ y) = (y * x) * (x \ 1). [para(17(a,1),655(a,1,1,1)),flip(a)]. 658 (x \ y) / ((y * x) * (x \ 1)) = x \ 1. [para(656(a,1),67(a,1,2))]. 659 (x \ (y / x)) / (y * (x \ 1)) = x \ 1. [para(19(a,1),658(a,1,2,1))]. 660 (x \ 1) \ (x \ y) != z | (y * x) * (x \ 1) = z. [para(658(a,1),236(a,1,1)),flip(b)]. 661 x \ (y / x) != (x \ 1) * z | y * (x \ 1) = z. [para(659(a,1),82(a,1,1)),flip(a),flip(b)]. 662 L((x * y) / x,z,u) = (x * L(y,z,u)) / x. [hyper(88,a,503,a),flip(a)]. 663 L(((x * y) * z) / (x * y),y,x) = (x * (y * z)) / (x * y). [hyper(76,a,102,a(flip),b,503,a),flip(a)]. 664 R(R(x / y,y,z),u,w) * (y * z) = (y * z) * R((y * z) \ (x * z),u,w). [para(111(a,2),510(a,1,1,1))]. 665 (x * R(x \ y,z,u)) * (x \ 1) = R(R(y / x,z,u),x,x \ 1). [para(510(a,1),369(a,1,1))]. 666 (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(218(a,1),510(a,1,1,1)),flip(a)]. 667 T(x,R(T(x,y),z,u)) = x. [hyper(148,a,511,a)]. 668 T(x,R(x,y,z)) = x. [para(112(a,1),667(a,1,2,1))]. 669 ((((x * y) * z) / (x * y)) * x) * y = (x * y) * R(z,x,y). [hyper(204,a,512,a)]. 670 R((x * y) / x,z,u) = (x * R(y,z,u)) / x. [hyper(88,a,512,a),flip(a)]. 671 R((x * y) / x,z,u) \ (x * R(y,z,u)) = x. [hyper(80,a,512,a)]. 672 (x * R(y,z,z \ x)) / (z \ x) = ((x * y) / x) * z. [hyper(76,a,512,a(flip),b,255,a(flip))]. 673 L(x / y,z,u) * y != w | y * L(y \ x,z,u) = w. [para(515(a,1),200(a,1,1)),flip(b)]. 674 T(L(x / y,z,u),y) != w | L(y \ x,z,u) = w. [para(515(a,1),242(a,1,1)),flip(b)]. 675 L((x \ y) / z,z,x) = (z * ((x * z) \ y)) / z. [para(183(a,1),515(a,1,1,2)),flip(a)]. 676 L(T(x,y) / x,x,y) = (x * K(x,y)) / x. [para(584(a,2),515(a,1,1,2)),flip(a)]. 677 ((x * y) * R(L(z,y,x),u,w)) / (x * y) = R((x * (y * z)) / (x * y),u,w). [para(31(a,2),516(a,1,1,2,1))]. 678 ((x / y) * R(y,z,u)) / (x / y) = R(x / (x / y),z,u). [para(69(a,1),516(a,1,1,2,1))]. 679 R(x / y,z,u) * y != w | y * R(y \ x,z,u) = w. [para(516(a,1),200(a,1,1)),flip(b)]. 680 ((x * (y / z)) / x) * z = z * ((x * (z \ y)) / x). [para(546(a,1),113(a,1,2)),flip(a)]. 681 (x * ((y * (x \ z)) / y)) / x = (y * (z / x)) / y. [para(546(a,1),143(a,1,1,2))]. 682 ((x * (y / z)) / x) \ (z * ((x * (z \ y)) / x)) = z. [para(546(a,1),144(a,1,2,2))]. 683 x * ((y * (x \ z)) / y) != u | ((y * (z / x)) / y) * x = u. [para(546(a,1),205(a,1,2))]. 684 (x * K(y \ x,y)) * (y \ 1) = T(x * (y \ 1),y). [para(213(a,2),606(a,1,1))]. 686 T(T(R(x / y,z,u),w),y) = R(T(y \ x,w),z,u). [para(115(a,1),635(a,1,1,1)),flip(a)]. 687 (x * (y * y)) / y = x / (y \ 1). [hyper(138,a,637,a),flip(a)]. 688 (x / (y \ 1)) * y = x * (y * y). [para(687(a,1),19(a,1,1))]. 690 L((x * y) / x,z,u) * x != w | x * L(y,z,u) = w. [para(662(a,2),200(a,1,1)),flip(b)]. 691 L((x * (y \ (z \ u))) / x,y,z) = (x * ((z * y) \ u)) / x. [para(183(a,1),662(a,2,1,2))]. 692 L((x * (y \ 1)) / x,y,z / y) = (x * (z \ (z / y))) / x. [para(279(a,1),662(a,2,1,2))]. 693 L((x * (y \ z)) / x,y,1 / y) = (x * ((1 / y) * z)) / x. [para(361(a,1),662(a,2,1,2))]. 694 L((x * ((y \ z) \ u)) / x,y \ z,y) = (x * (z \ (y * u))) / x. [para(359(a,1),662(a,2,1,2))]. 695 R((x * (1 / y)) / x,y,z) = (x * (z / (y * z))) / x. [para(141(a,1),670(a,2,1,2))]. 696 R((x * ((y / z) / u)) / x,u,z) = (x * (y / (u * z))) / x. [para(187(a,1),670(a,2,1,2))]. 698 R((x * (y / z)) / x,z,z \ 1) = (x * (y * (z \ 1))) / x. [para(445(a,1),670(a,2,1,2))]. 699 ((x * R(y,z,u)) / x) * (z * u) != w | (((x * y) / x) * z) * u = w. [para(670(a,1),204(a,1,1))]. 700 x \ ((x * (1 / y)) * y) = a(x,1 / y,y). [para(15(a,1),94(a,1,1))]. 701 (x * y) \ (y * T(x,y / x)) = a(x,y / x,x). [para(622(a,1),94(a,1,2))]. 702 x \ R(x,1 / y,y) = a(x,1 / y,y). [para(589(a,1),700(a,1,2))]. 703 T(((x * y) * x) / (x * y),y) = R(x,y,T(x,y)). [hyper(189,a,330,a(flip),b,156,a(flip)),flip(a)]. 704 a(1 / (x * y),x,y) \ R((1 / (x * y)) * x,y,y \ 1) = y \ 1. [para(167(a,1),374(a,1,1))]. 705 (x * y) * R((x * y) \ x,z,u) = x * (y * R(y \ 1,z,u)). [para(281(a,2),102(a,1,2))]. 706 R((x * y) \ x,y,y \ 1) = L(T(y \ 1,y),y,x). [para(520(a,1),281(a,2,1))]. 707 L(L(x \ 1,y * x,z),x,y) = (z * (y * x)) \ (z * y). [hyper(189,a,104,a(flip),b,282,a)]. 708 L((x * y) \ x,y,1 / y) = L(1 / y,y,x). [para(277(a,1),282(a,1,1)),flip(a)]. 709 (x * y) * L((x * y) \ x,z,u) = x * (y * L(y \ 1,z,u)). [para(282(a,1),102(a,1,2))]. 710 (1 / x) * (x * ((y * x) \ y)) = L(1 / x,x,y). [hyper(306,a,708,a)]. 712 (x * y) * T((x * y) \ (x * z),u) = x * (y * T(y \ z,u)). [para(104(a,1),350(a,1,2,1))]. 713 (x * y) * T((x * y) \ z,u) = x * (y * T(y \ (x \ z),u)). [para(183(a,1),350(a,1,2,1))]. 714 (x * y) * T((y * T(x,y)) \ y,z) = y * (T(x,y) * T(T(x,y) \ 1,z)). [para(280(a,2),353(a,1,2))]. 715 L(T(T(x,y) \ z,u),T(x,y),y) = T((x * y) \ (y * z),u). [para(365(a,1),43(a,2,1))]. 716 L(R(T(x,y) \ z,u,w),T(x,y),y) = R((x * y) \ (y * z),u,w). [para(365(a,1),47(a,1,1)),flip(a)]. 717 L(L(T(x,y) \ z,u,w),T(x,y),y) = L((x * y) \ (y * z),u,w). [para(365(a,1),48(a,1,1)),flip(a)]. 718 T((x * y) / (z * y),u) * (z * y) = (T(x / z,u) * z) * y. [para(111(a,1),380(a,1,1,1))]. 719 (T((x / y) / z,u) * z) * y = T(x / (z * y),u) * (z * y). [para(187(a,1),380(a,1,1,1)),flip(a)]. 720 R(T(x / y,y * z),y,z) = (y * z) \ (x * z). [hyper(307,a,392,a),flip(a)]. 721 R(T(x / y,y * z),y,z) != u | (y * z) \ (x * z) = u. [para(392(a,1),307(a,1))]. 722 (x / y) * (y * T(y \ 1,z)) = x * T(x \ (x / y),z). [para(415(a,2),345(a,1,2)),flip(a)]. 723 R(T(1 / x,y),x,x \ y) = y \ (x \ y). [hyper(307,a,417,a),flip(a)]. 724 T((x \ y) / y,z) * y = (T(1 / x,z) * x) * (x \ y). [para(417(a,2),255(a,1,1))]. 726 ((x * y) * z) * K(y * z,R(x,y,z)) != u * w | u \ ((y * z) * R(x,y,z)) = w. [para(110(a,1),429(a,1,1))]. 727 (1 / x) \ T((1 / x) * y,z) = x * T(x \ y,z). [hyper(75,a,440,a(flip),b,169,a)]. 728 L(L(T(x \ 1,y),x,z),z * x,1 / (z * x)) = T((1 / (z * x)) * z,y). [para(280(a,1),440(a,1,1))]. 729 (x \ 1) * T((x \ 1) \ y,z) = x \ T(x * y,z). [hyper(75,a,443,a(flip),b,166,a),flip(a)]. 730 R(x,T(y,x),T(z,y * x)) \ (z * (y * x)) = T(y,x) * T(z,y * x). [para(129(a,1),450(a,1,1,1))]. 731 T(x * (y \ 1),z) / (y \ 1) = T(x / y,z) * y. [hyper(76,a,462,a(flip),b,369,a)]. 732 ((x * y) \ x) * (x * y) = x * (y * T(y \ 1,x * y)). [para(140(a,1),498(a,2,1)),flip(a)]. 734 R(T(x,T(y,x) * z),T(y,x),z) = (T(y,x) * z) \ ((y * x) * z). [para(113(a,1),507(a,1,2,1)),flip(a)]. 735 T(x,y) * (x \ z) != u | (x \ z) * T((x \ z) \ z,y) = u. [para(67(a,1),544(a,1,1,1))]. 736 T(T((x * y) / x,z),y * x) = L(T(y,z),x,y). [hyper(189,a,43,a,b,566,a)]. 737 x * R(L(T(y,x),z,u),w,w \ x) = (L(y,z,u) * w) * (w \ x). [para(43(a,2),568(a,1,2,1))]. 738 T(x / (1 / y),z) * (1 / y) = T(x * y,z) / y. [hyper(76,a,596,a(flip),b,589,a),flip(a)]. 739 T(((1 / x) * y) * x,1 / x) = R(y,1 / x,x). [para(142(a,1),596(a,1,1)),flip(a)]. 740 ((x * (y \ z)) / z) * y = y * R(y \ x,y,y \ z). [para(604(a,1),113(a,1,2)),flip(a)]. 741 R(1 / x,x,x \ y) != z | (x \ y) / y = z. [para(609(a,1),138(a,1))]. 742 R(x,y,z) \ R(T(x,x \ 1),y,z) = a(R(x,y,z),1 / x,x). [para(631(a,1),702(a,1,2))]. 743 L((x \ (T(x,y) * y)) / y,y,x) = (y * K(T(x,y),y)) / y. [para(152(a,1),675(a,2,1,2))]. 744 ((x / y) * ((y \ z) \ z)) / (x / y) = T(x / (x / y),y \ z). [hyper(76,a,220,a(flip),b,327,a)]. 745 (1 / (1 / x)) \ L(y,x \ 1,x) = (1 / x) * y. [hyper(75,a,166,a(flip),b,473,a)]. 746 (x / (1 / y)) * z != y * ((y \ x) * u) | (1 / y) * u = z. [para(473(a,1),22(a,1)),flip(a)]. 748 (x * (y / x)) * x != z | (x \ 1) \ y = z. [para(491(a,1),135(a,1)),flip(b)]. 750 T(x,L(L(x,y,z),u,w)) = x. [hyper(148,a,504,a)]. 751 ((x / (1 / y)) * y) * (y \ 1) = x * y. [hyper(661,a,550,a)]. 752 (x * (1 / y)) * y = (x * y) * (y \ 1). [para(18(a,1),751(a,1,1,1)),flip(a)]. 753 x \ ((y * x) * (x \ 1)) = T(y * (1 / x),x). [hyper(147,a,752,a,b,17,a),flip(a)]. 755 (((1 / x) * y) * x) * (x \ 1) = (x \ (y * (1 / x))) * x. [para(483(a,1),752(a,1,1)),flip(a)]. 756 T((x * y) * (1 / x),x) = x \ ((x \ 1) \ y). [para(655(a,1),753(a,1,2)),flip(a)]. 757 T((x * y) / x,1 / y) = T((x * y) / x,y \ 1). [hyper(332,a,630,a),flip(a)]. 758 R((x * (y / z)) / x,z,z \ 1) / (z \ 1) = z * ((x * (z \ y)) / x). [hyper(189,a,373,a,b,680,a(flip)),flip(a)]. 759 ((x * R(y / z,z,u)) / x) * (z * u) = (z * u) * ((x * ((z * u) \ (y * u))) / x). [para(111(a,2),680(a,1,1,1,2))]. 760 (x * ((y * z) / y)) / x = (y * ((x * z) / x)) / y. [para(16(a,1),681(a,1,1,2,1,2))]. 761 ((x * (y / z)) / x) * z != u | z * ((x * (z \ y)) / x) = u. [para(681(a,1),200(a,1,1)),flip(b)]. 762 ((x * (y / (y / z))) / x) \ ((y / z) * ((x * z) / x)) = y / z. [para(69(a,1),682(a,1,2,2,1,2))]. 763 T(T((x * y) / (z * y),u),z) = R(T(z \ x,u),z,y). [para(111(a,1),686(a,1,1,1))]. 764 R(T(x \ y,x * z),x,z) = T((x * z) \ (y * z),x). [para(393(a,1),686(a,1,1)),flip(a)]. 765 (1 / x) \ T(1 / x,y) = x * T(x \ 1,y). [para(15(a,1),727(a,1,2,1))]. 766 x * T(x \ ((1 / x) \ y),z) = (1 / x) \ T(y,z). [para(17(a,1),727(a,1,2,1)),flip(a)]. 767 x \ T(x * (y * (x \ 1)),z) = T(y,z) * (x \ 1). [hyper(571,a,729,a),flip(a)]. 768 x \ T(x * y,x \ 1) = ((x \ 1) \ y) * (x \ 1). [hyper(205,a,729,a),flip(a)]. 769 (x \ 1) \ (x \ T(x * y,z)) = T((x \ 1) \ y,z). [hyper(80,a,729,a)]. 770 (x \ 1) * T((x \ 1) \ 1,y) = x \ T(x,y). [para(15(a,1),729(a,2,2,1))]. 771 (x \ 1) * T((x \ 1) \ (x \ y),z) = x \ T(y,z). [para(17(a,1),729(a,2,2,1))]. 772 x \ T(x * y,x \ 1) != z | ((x \ 1) \ y) * (x \ 1) = z. [para(729(a,1),205(a,1))]. 773 T(x,y) * (x \ 1) = x \ T(x,y). [hyper(189,a,326,a(flip),b,770,a(flip)),flip(a)]. 774 T(x,y) * R(T(x,y) \ 1,T(x,y),x \ 1) = ((x \ 1) / (x \ T(x,y))) * T(x,y). [para(773(a,1),522(a,1,1,2)),flip(a)]. 775 (x * y) \ (y * (x \ T(x,y))) = L(x \ 1,T(x,y),y). [para(773(a,1),153(a,1,2,2))]. 776 T(x * (y \ 1),z) / (y \ 1) = y * T(y \ x,z). [hyper(189,a,323,a(flip),b,731,a)]. 777 T(((1 / x) * y) * x,z) / x = (1 / x) * T(y,z). [hyper(547,a,738,a),flip(a)]. 778 (1 / x) * T((1 / x) \ y,z) = T(y * x,z) / x. [hyper(544,a,738,a)]. 779 T(x * y,1 / y) / y = ((1 / y) \ x) * (1 / y). [para(115(a,1),738(a,1,1)),flip(a)]. 780 T((x * T(y,x)) / x,T(y,x) \ 1) = T(y,1 / T(y,x)). [para(143(a,1),757(a,1,1)),flip(a)]. 781 ((1 / x) \ y) \ ((1 / x) \ T(y,x)) = K(x \ ((1 / x) \ y),x). [para(766(a,1),320(a,1,2))]. 782 x \ T(x * y,x \ 1) = (x \ 1) \ (y / x). [hyper(189,a,478,a(flip),b,768,a)]. 783 ((x \ 1) \ (x \ y)) * (x \ 1) = x \ T(y,x \ 1). [para(17(a,1),768(a,1,2,1)),flip(a)]. 784 (x \ 1) * (x \ T(x * y,x \ 1)) = y / x. [para(782(a,2),17(a,1,2))]. 785 (x \ 1) * T((x \ 1) \ y,z) != u | x \ T(x * y,z) = u. [para(769(a,1),203(a,1,2)),flip(b)]. 786 (x \ T(y,z)) / (x \ 1) = T((x \ y) / (x \ 1),z). [hyper(76,a,771,a(flip),b,323,a)]. 787 (x \ T(y,x \ 1)) / (x \ 1) = (x \ 1) \ (x \ y). [hyper(76,a,771,a(flip),b,113,a(flip))]. 788 T(x * ((y \ 1) \ 1),z) / ((y \ 1) \ 1) = y \ T(y * x,z). [hyper(189,a,729,a(flip),b,776,a)]. 789 T(x \ 1,y) / (x \ 1) = x * T(x \ 1,y). [para(14(a,1),776(a,1,1,1))]. 790 x * T(x \ (y / (x \ 1)),z) = T(y,z) / (x \ 1). [para(19(a,1),776(a,1,1,1)),flip(a)]. 791 T(((1 / x) * y) * x,z) = ((1 / x) * T(y,z)) * x. [para(777(a,1),19(a,1,1)),flip(a)]. 792 (1 / x) * T((1 / x) \ 1,y) = T(x,y) / x. [para(61(a,1),777(a,1,1,1)),flip(a)]. 793 (1 / x) * T(x,y) = T(x,y) / x. [para(68(a,1),777(a,1,1,1)),flip(a)]. 794 T(x,y) \ (T(x,y) / x) = T(1 / x,T(x,y)). [hyper(147,a,793,a,b,17,a),flip(a)]. 795 (T(x,y) / x) / T(x,y) = 1 / x. [hyper(88,a,793,a)]. 796 T(x,x \ y) / x = (1 / x) * ((x \ y) \ y). [hyper(189,a,220,a(flip),b,793,a(flip))]. 797 (T(x,y) / x) / (1 / x) = T(1 / (1 / x),y). [hyper(76,a,793,a(flip),b,327,a)]. 799 T((T(x,y) * (1 / x)) / T(x,y),T(x,y) / x) = L(1 / x,T(x,y),1 / x). [para(793(a,1),563(a,1,2))]. 801 L(x \ 1,x,T(x,y) / x) = T(1 / x,T(x,y)). [hyper(537,a,794,a)]. 802 (1 / x) * ((x \ y) \ y) = ((x \ y) \ y) / x. [para(114(a,1),796(a,1,1)),flip(a)]. 803 ((x \ y) / (y / x)) / (1 / (y / x)) = T(1 / (1 / (y / x)),x). [para(115(a,1),797(a,1,1,1))]. 804 ((1 / x) \ (y / x)) * (1 / x) = T(y,1 / x) / x. [para(19(a,1),779(a,1,1,1)),flip(a)]. 805 (x \ R(T(y,x \ 1),z,u)) / (x \ 1) = (x \ 1) \ (x \ R(y,z,u)). [para(45(a,2),787(a,1,1,2))]. 806 (x \ (y / (x \ 1))) * x = T(y,x) / (x \ 1). [hyper(205,a,790,a)]. 807 T(((1 / x) * y) * x,z) != u * x | (1 / x) * T(y,z) = u. [para(791(a,2),23(a,1))]. 808 K(x,1 / x) \ (x * (T(x,y) / x)) = L(T(x,y),1 / x,x). [para(793(a,1),231(a,1,2,2))]. 809 (x * y) * R((x * y) \ (x * z),u,w) = x * (y * R(y \ z,u,w)). [para(104(a,1),351(a,1,2,1))]. 810 (x * y) * R((x * y) \ z,u,w) = x * (y * R(y \ (x \ z),u,w)). [para(183(a,1),351(a,1,2,1))]. 811 (x * y) * L((x * y) \ z,u,w) = x * (y * L(y \ (x \ z),u,w)). [para(183(a,1),352(a,1,2,1))]. 812 (x * y) * L(T(x,x * y),z,u) = x * (y * L(T(x,y),z,u)). [para(554(a,1),352(a,1,2,1))]. 813 K(x \ 1,x) * L(x \ y,x,x \ 1) = (x \ 1) * y. [hyper(189,a,89,a(flip),b,354,a)]. 814 (L(x,y,z) * u) * w != v5 * (u * w) | L(R(x,u,w),y,z) = v5. [para(381(a,1),23(a,1))]. 815 L((x * y) / (z * y),u,w) * (z * y) = (L(x / z,u,w) * z) * y. [para(111(a,1),381(a,1,1,1))]. 816 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(773(a,1),399(a,1,1,1))]. 817 (x \ 1) * L((x \ 1) \ y,z,u) = x \ L(x * y,z,u). [para(362(a,1),402(a,1,2,1)),flip(a)]. 818 (1 / x) \ L(L(y,x,1 / x),z,u) != x * w | L(y,z,u) = w. [para(403(a,2),22(a,1))]. 819 (1 / x) \ L(1 / x,y,z) = x * L(x \ 1,y,z). [para(277(a,1),403(a,1,2,1))]. 820 (1 / x) * (x * R(x \ y,z,u)) = R((1 / x) * y,z,u). [hyper(306,a,441,a)]. 821 L(L(T(x \ 1,x),x,y),y * x,1 / (y * x)) = R((1 / (y * x)) * y,x,x \ 1). [para(706(a,1),441(a,1,1))]. 822 (1 / x) * (x * L(x \ y,z,u)) = L((1 / x) * y,z,u). [hyper(306,a,442,a)]. 823 (x \ 1) * R((x \ 1) \ y,z,u) = x \ R(x * y,z,u). [hyper(75,a,444,a(flip),b,166,a),flip(a)]. 824 L(x * (y \ 1),z,u) / (y \ 1) = L(x / y,z,u) * y. [hyper(76,a,463,a(flip),b,369,a)]. 825 L(T(T((x \ y) \ z,u),w),x \ y,x) = T(T(y \ (x * z),u),w). [para(582(a,1),43(a,2,1))]. 826 x * ((x \ y) * T((x \ y) \ z,u)) = y * T(y \ (x * z),u). [para(582(a,1),344(a,1,2)),flip(a)]. 827 R(x / (1 / y),z,u) * (1 / y) = R(x * y,z,u) / y. [para(593(a,1),594(a,1,1,1)),flip(a)]. 828 (x / y) * R((x / y) \ z,x / y,y) != u | ((z * y) / x) * (x / y) = u. [para(598(a,2),205(a,1,2))]. 829 (x * ((y \ x) / x)) / (y \ x) = ((x * (1 / y)) / x) * y. [para(286(a,1),672(a,1,1,2))]. 830 ((x / y) * (y / ((x / y) * y))) / (x / y) = (((x / y) * (1 / (x / y))) * y) / x. [hyper(189,a,391,a(flip),b,695,a(flip))]. 831 ((x * (y / (z * y))) / x) * (z * y) = (((x * (1 / z)) / x) * z) * y. [para(695(a,1),110(a,1,1))]. 832 T((x * y) \ ((x * z) * y),x) = R(T(z,x * y),x,y). [para(16(a,1),764(a,1,1,1)),flip(a)]. 833 K(x \ 1,x) * y != (x \ 1) * z | L(x \ z,x,x \ 1) = y. [para(813(a,1),22(a,1)),flip(a)]. 834 x * R(T(y,y * x),z,u) = L(R(y,z,u),x,y) * x. [para(558(a,1),501(a,1,2))]. 835 R(T(x,x \ y),z,u) = R((x \ y) \ y,z,u). [hyper(20,a,160,a,b,513,a),flip(a)]. 836 x \ R(T(y,y \ z),u,w) = x \ R((y \ z) \ z,u,w). [hyper(75,a,835,a,b,17,a)]. 838 (x * y) * T((x * y) \ (x * z),u) != w | x * (y * T(y \ z,u)) = w. [para(104(a,1),641(a,1,2,1))]. 840 (x / y) \ (x * T(x \ (x / y),z)) = y * T(y \ 1,z). [hyper(80,a,722,a)]. 841 (x / y) \ (x * T(x \ (x / y),z)) != u | y * T(y \ 1,z) = u. [para(722(a,1),237(a,1,2)),flip(b)]. 842 (x / y) * K(y \ 1,y) = x * T(x \ (x / y),y). [para(229(a,1),722(a,1,2))]. 843 (T(1 / x,y) * x) * (x \ z) = z * T(z \ (x \ z),y). [hyper(544,a,724,a),flip(a)]. 844 K((x * y) \ x,x * y) = y * T(y \ 1,x * y). [hyper(334,a,732,a)]. 845 K((x * y) \ x,x * y) / y = T(1 / y,x * y). [hyper(76,a,844,a,b,323,a)]. 846 (((1 / x) * y) * x) * (x \ 1) = x \ y. [hyper(189,a,471,a(flip),b,755,a)]. 847 (x \ y) / (x \ 1) = ((1 / x) * y) * x. [hyper(76,a,471,a(flip),b,755,a)]. 848 x \ ((1 / x) \ y) = (y * x) * (x \ 1). [para(17(a,1),846(a,1,1,1)),flip(a)]. 851 x \ ((1 / x) \ y) = R(y,x,x \ 1). [hyper(189,a,369,a(flip),b,848,a)]. 852 x * ((y * x) * (x \ 1)) = (1 / x) \ y. [para(848(a,1),17(a,1,2))]. 853 T(x,1 / T(x,y)) = T(x,T(x,y) \ 1). [para(143(a,1),780(a,1,1)),flip(a)]. 854 (x \ 1) * L((x \ 1) \ 1,y,z) = x \ L(x,y,z). [para(15(a,1),817(a,2,2,1))]. 855 (1 / x) * (x * R(x \ 1,y,z)) = R(1 / x,y,z). [para(15(a,1),820(a,2,1))]. 856 (1 / x) * (((y * (x \ z)) / z) * x) = R((1 / x) * y,x,x \ z). [para(740(a,2),820(a,1,2))]. 857 (1 / x) \ R(1 / x,y,z) = x * R(x \ 1,y,z). [hyper(80,a,855,a)]. 858 (x / y) * R((x / y) \ 1,x / y,y) = (1 / (x / y)) \ (y / x). [hyper(75,a,287,a(flip),b,855,a),flip(a)]. 859 (1 / x) \ R(1 / x,y,z) != u | x * R(x \ 1,y,z) = u. [para(855(a,1),237(a,1,2)),flip(b)]. 860 (1 / x) * ((y / (x * y)) * x) = R(1 / x,x,y). [para(522(a,2),855(a,1,2))]. 861 ((x \ y) / y) / (((x \ y) / (x * (x \ y))) * x) = 1 / x. [hyper(76,a,286,a(flip),b,860,a)]. 862 (x / (y * x)) / ((x / (y * x)) * y) = 1 / y. [hyper(76,a,141,a(flip),b,860,a)]. 863 ((x / (y * x)) * y) \ (x / (y * x)) = T(1 / y,(x / (y * x)) * y). [para(862(a,1),115(a,1,1)),flip(a)]. 864 L((1 / x) * (y * x),z,u) = (1 / x) * (L(y,z,u) * x). [para(500(a,1),822(a,1,2)),flip(a)]. 865 (x \ 1) * R((x \ 1) \ 1,y,z) = x \ R(x,y,z). [para(15(a,1),823(a,2,2,1))]. 866 x \ R(x * (y * (x \ 1)),z,u) = (x \ 1) * R(T(y,x \ 1),z,u). [para(35(a,2),823(a,1,2,1)),flip(a)]. 867 R(x,y,z) * (x \ 1) = x \ R(x,y,z). [hyper(189,a,513,a(flip),b,865,a(flip)),flip(a)]. 868 R(x,y,z) \ (x \ R(x,y,z)) = x \ 1. [hyper(75,a,865,a(flip),b,513,a(flip))]. 869 ((1 / x) * R(x,y,z)) * x = R(x,y,z). [hyper(21,a,846,a,b,867,a),flip(a)]. 870 (x \ R(x,y,z)) / R(T(x,x \ 1),y,z) = x \ 1. [hyper(76,a,867,a(flip),b,160,a)]. 871 (x \ R(x,y,z)) * K(x \ 1,R(x,y,z)) = (x \ 1) * R(x,y,z). [para(867(a,1),95(a,1,1))]. 872 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(867(a,1),522(a,1,1,2)),flip(a)]. 873 T((R(x,y,z) * (1 / x)) / R(x,y,z),x) = (x \ R(x,y,z)) / R(x,y,z). [para(867(a,1),546(a,2,1))]. 875 (1 / x) * R(x,y,z) = R(x,y,z) / x. [hyper(88,a,869,a),flip(a)]. 876 R(x \ 1,y,z) / (x \ 1) = x * R(x \ 1,y,z). [hyper(456,a,875,a),flip(a)]. 877 R(x,y,z) \ (R(x,y,z) / x) = T(1 / x,R(x,y,z)). [hyper(147,a,875,a,b,17,a),flip(a)]. 878 (R(x,y,z) / x) / R(x,y,z) = 1 / x. [hyper(88,a,875,a)]. 879 R(x,y,z) / x != R(x,y,z) * u | T(1 / x,R(x,y,z)) = u. [para(875(a,1),148(a,2)),flip(a)]. 880 L(R(x,y,z) \ u,R(x,y,z),1 / x) = (R(x,y,z) / x) \ ((1 / x) * u). [para(875(a,1),104(a,2,1))]. 881 (1 / x) * R(x,y,z) != u | R(x,y,z) / x = u. [para(878(a,1),200(a,1,1)),flip(b)]. 882 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(877(a,1),587(a,1,1,2))]. 883 L(x * (y \ 1),z,u) / (y \ 1) = y * L(y \ x,z,u). [hyper(189,a,502,a(flip),b,824,a)]. 884 (1 / x) * R((1 / x) \ y,z,u) = R(y * x,z,u) / x. [hyper(679,a,827,a)]. 885 (x * ((y \ x) / x)) / (y \ x) = y * ((x * (y \ 1)) / x). [hyper(189,a,680,a(flip),b,829,a)]. 886 K(x \ (x / y),x) = y * T(y \ 1,x). [hyper(575,a,840,a)]. 887 x \ K(y \ (y / x),y) = T(x \ 1,y). [hyper(75,a,320,a(flip),b,840,a(flip))]. 888 x * T(x \ 1,y) != z | K(y \ (y / x),y) = z. [para(840(a,1),575(a,1))]. 889 K(x \ (x / (1 / y)),x) = T(y,x) / y. [hyper(189,a,792,a(flip),b,886,a)]. 890 K(x \ (x / (y \ 1)),x) = y \ T(y,x). [hyper(189,a,770,a(flip),b,886,a)]. 891 K(x \ (x / y),x) / y = T(1 / y,x). [hyper(76,a,886,a,b,323,a)]. 892 (x \ y) \ K(y \ x,y) = T((x \ y) \ 1,y). [para(67(a,1),887(a,1,2,1,2))]. 894 T(x,y) = K(y \ (y / (1 / x)),y) * x. [para(889(a,2),19(a,1,1)),flip(a)]. 895 K(x \ (x / (1 / (y / (x * y)))),x) = R(x \ 1,x,y) / (y / (x * y)). [para(517(a,1),889(a,2,1))]. 896 K(x \ (x / ((y / x) \ 1)),x) = (y / x) \ (x \ y). [para(115(a,1),890(a,2,2))]. 897 K(x \ (x / (((x * y) / x) \ 1)),x) = ((x * y) / x) \ y. [para(142(a,1),890(a,2,2))]. 898 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(876(a,1),890(a,1,1,2))]. 899 T(x,y) / x != z | K(y \ (y / (1 / x)),y) = z. [para(894(a,2),248(a,1,1)),flip(b)]. 900 T(((x * y) \ x) \ 1,x) = ((x * y) \ x) \ K(y,x). [para(16(a,1),892(a,1,2,1)),flip(a)]. 901 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(868(a,1),896(a,2,2))]. 902 T(((x * y) \ x) \ 1,x) = L(y \ 1,y,x) \ K(y,x). [hyper(189,a,573,a,b,900,a)]. 903 K(x,y) = ((y * x) \ y) * T(((y * x) \ y) \ 1,y). [para(900(a,2),17(a,1,2)),flip(a)]. 905 T(L(x \ 1,x,y) \ 1,y) = ((y * x) \ y) \ K(x,y). [para(140(a,2),900(a,1,1,1))]. 906 K(x,y) = L(x \ 1,x,y) * T(L(x \ 1,x,y) \ 1,y). [para(905(a,2),312(a,1,2)),flip(a)]. 907 (((x * y) \ x) \ K(y,x)) / (L(y \ 1,y,x) \ 1) = L(y \ 1,y,x) * T(L(y \ 1,y,x) \ 1,x). [para(905(a,1),789(a,1,1))]. 908 ((x \ 1) * x) * (x \ y) = y * T(y \ (x \ y),x). [para(115(a,1),843(a,1,1,1))]. 909 (x * T(x \ 1,y)) * (x \ z) = z * T(z \ (x \ z),y). [para(323(a,1),843(a,1,1))]. 910 K(x \ 1,x) * (x \ y) = y * T(y \ (x \ y),x). [para(165(a,2),908(a,1,1))]. 911 ((x \ y) / y) / (((x \ y) / y) * x) = 1 / x. [para(17(a,1),861(a,1,2,1,2))]. 912 (1 / x) \ ((x \ y) / y) = ((x \ y) / y) * x. [para(911(a,1),69(a,1,1))]. 914 L(x * y,z,u) / ((1 / y) \ 1) = (1 / y) * L((1 / y) \ x,z,u). [para(69(a,1),883(a,1,1,1,2))]. 915 (1 / x) * R((1 / x) \ 1,y,z) = R(x,y,z) / x. [para(14(a,1),884(a,2,1,1))]. 916 T((x * y) / x,K(x \ (x / (((x * y) / x) \ 1)),x)) != z | (((x * y) / x) \ y) \ y = z. [para(897(a,2),315(a,1,2))]. 917 (x * T(x \ (y \ x),z)) / (y \ x) != u | y * T(y \ 1,z) = u. [para(909(a,1),248(a,1,1)),flip(b)]. 918 (x \ T(x,y)) * ((x \ 1) \ z) = z * T(z \ ((x \ 1) \ z),y). [para(770(a,1),909(a,1,1))]. 919 ((x \ 1) * L((x \ 1) \ y,z,u)) * T(x,x \ 1) = R(L(y / (x \ 1),z,u),x \ 1,(x \ 1) \ 1). [para(502(a,1),448(a,1,1))]. 921 x * (y * R(T(x,y),z,u)) = R(x,z,u) * (x * y). [hyper(189,a,351,a(flip),b,560,a(flip)),flip(a)]. 922 R(x,y,z) * (x * u) = x * (R(x,y,z) * u). [para(160(a,1),921(a,1,2)),flip(a)]. 923 (R(x,y,z) * u) / (R(x,y,z) * (x \ u)) = x. [hyper(424,a,922,a)]. 924 x * (R(x,y,z) * (x \ u)) = R(x,y,z) * u. [hyper(254,a,922,a),flip(a)]. 925 x * (R(x,y,z) \ 1) = R(x,y,z) \ x. [hyper(75,a,62,a(flip),b,922,a),flip(a)]. 927 x * (R(x,y,z) * T(u,x)) = R(x,y,z) * (u * x). [para(113(a,1),922(a,1,2)),flip(a)]. 928 (R(x,y,z) * u) \ (x * (R(x,y,z) * u)) = L(T(x,u),u,R(x,y,z)). [para(922(a,1),154(a,1,2))]. 929 L(R(x,y,z) \ 1,x,1 / x) = (1 / x) * (R(x,y,z) \ x). [para(925(a,1),169(a,1,2)),flip(a)]. 930 R(x,y,x) * T(y,x) = T(x * y,x). [hyper(147,a,110,a(flip),b,927,a),flip(a)]. 931 x * ((x \ y) * L((x \ y) \ z,u,w)) = y * L(y \ (x * z),u,w). [para(359(a,1),576(a,1,2,1)),flip(a)]. 932 (x / y) * (y * L(y \ 1,z,u)) = x * L(x \ (x / y),z,u). [para(279(a,1),580(a,1,2,1)),flip(a)]. 933 (x / y) * (y * L(y \ z,u,w)) = x * L(x \ ((x / y) * z),u,w). [para(364(a,1),580(a,1,2,1)),flip(a)]. 934 x * ((x \ y) * R((x \ y) \ z,u,w)) = y * R(y \ (x * z),u,w). [para(583(a,1),344(a,1,2)),flip(a)]. 935 (x * y) * R(T(y,x),z,u) = (R(y,z,u) * x) * y. [hyper(189,a,382,a(flip),b,617,a(flip))]. 936 (x * y) * ((z * ((x * y) \ u)) / z) = x * (y * ((z * (y \ (x \ u))) / z)). [para(691(a,1),102(a,1,2))]. 938 (x / y) * (y * ((z * (y \ 1)) / z)) = x * ((z * (x \ (x / y))) / z). [para(692(a,1),345(a,1,2)),flip(a)]. 939 (1 / x) \ ((y * ((1 / x) * z)) / y) = x * ((y * (x \ z)) / y). [hyper(75,a,693,a(flip),b,169,a)]. 940 (x * y) * T((x * y) \ (y * z),u) = y * (T(x,y) * T(T(x,y) \ z,u)). [para(715(a,1),353(a,1,2))]. 941 (x / y) \ T(x,(x / y) \ 1) != z | (((x / y) \ 1) \ y) * ((x / y) \ 1) = z. [para(19(a,1),772(a,1,2,1))]. 942 (x \ 1) \ (y / x) != z | ((x \ 1) \ y) * (x \ 1) = z. [para(782(a,1),772(a,1))]. 943 ((x * y) * (z * u)) / ((y * z) * L(u,z,x * y)) = R(R(x,y,z),y * z,L(u,z,x * y)). [para(102(a,1),378(a,1,1))]. 944 x * L(T(T((y \ x) \ x,z),u),y \ x,y) = y * (T(T(y,z),u) * (y \ x)). [para(534(a,1),344(a,2,2))]. 945 ((((x * y) / x) \ z) \ z) * x != x * u | T(y,((x * y) / x) \ z) = u. [para(543(a,2),22(a,1))]. 946 (x \ (y / (x \ 1))) * x = ((x \ 1) * y) * (x * x). [para(67(a,1),636(a,1,2,1)),flip(a)]. 948 (x * y) * R((x * y) \ (x * z),u,w) != v5 | x * (y * R(y \ z,u,w)) = v5. [para(104(a,1),642(a,1,2,1))]. 951 (x * y) * T((x * y) \ (z * y),u) = (T(z / x,u) * x) * y. [hyper(544,a,718,a)]. 952 T(1 / (1 / x),x \ 1) = x. [hyper(628,a,744,a)]. 953 T(T(1 / (1 / x),y),x \ 1) = T(x,y). [para(952(a,1),41(a,1,1)),flip(a)]. 954 T(1 / (1 / (1 / x)),x) = 1 / x. [para(69(a,1),952(a,1,2))]. 955 (1 / (1 / (1 / x))) * x = x * (1 / x). [para(954(a,1),113(a,1,2)),flip(a)]. 957 ((x * (y / (y / T(z,x)))) / x) \ ((y / T(z,x)) * z) = y / T(z,x). [para(143(a,1),762(a,1,2,2))]. 958 (((x * y) \ y) / (y / (x * y))) / (1 / (y / (x * y))) = T(1 / (1 / R(1 / x,x,y)),x * y). [para(141(a,2),803(a,2,1,2,2))]. 959 x * (y * L(T(x,y),z,u)) = L(x,z,u) * (x * y). [hyper(303,a,812,a),flip(a)]. 960 L(x,y,z) * (x * u) = x * (L(x,y,z) * u). [para(159(a,1),959(a,1,2)),flip(a)]. 961 x \ (L(x,y,z) * u) = L(x,y,z) * (x \ u). [hyper(432,a,960,a)]. 962 L(x,y,z) * (x \ 1) = x \ L(x,y,z). [hyper(299,a,960,a),flip(a)]. 963 L(x,y,z) \ (x * u) = x * (L(x,y,z) \ u). [hyper(75,a,89,a(flip),b,960,a)]. 964 x * (L(x,y,z) \ 1) = L(x,y,z) \ x. [hyper(75,a,62,a(flip),b,960,a),flip(a)]. 965 ((x * y) * L(x,z,u)) \ (x * (L(x,z,u) * y)) = K(L(x,z,u),x * y). [hyper(75,a,960,a(flip),b,95,a)]. 967 (L(x,y,z) * u) \ (x * (L(x,y,z) * u)) = L(T(x,u),u,L(x,y,z)). [para(960(a,1),154(a,1,2))]. 968 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(962(a,1),522(a,1,1,2)),flip(a)]. 969 (L(x,y,z) \ x) \ ((L(x,y,z) \ 1) * x) = K(L(x,y,z) \ 1,x). [para(964(a,1),29(a,2,1)),flip(a)]. 970 L(x \ 1,y,z) \ K(x \ 1,x) = (x \ 1) * (L(x \ 1,y,z) \ x). [para(165(a,2),963(a,1,2))]. 971 x \ (y * T(y \ (x * z),u)) = (x \ y) * T((x \ y) \ z,u). [hyper(80,a,826,a)]. 972 x * ((x \ y) * T((x \ y) \ 1,z)) = y * T(y \ x,z). [para(15(a,1),826(a,2,2,1,2))]. 973 x * T(x \ (y * x),z) = y * (T(y,z) * (y \ x)). [para(326(a,1),826(a,1,2)),flip(a)]. 974 x * (T(x,y) * (x \ z)) = T(x,y) * z. [hyper(571,a,973,a),flip(a)]. 975 x \ (T(x,y) * z) = T(x,y) * (x \ z). [hyper(541,a,973,a)]. 976 (T(x,y) * z) / (T(x,y) * (x \ z)) = x. [hyper(76,a,322,a(flip),b,973,a(flip))]. 977 x \ (T(x,y) * T(x,z)) = T(x,z) * (x \ T(x,y)). [hyper(75,a,324,a,b,974,a)]. 978 T(x,y) * (x \ (T(x,y) \ z)) = x \ z. [hyper(75,a,17,a(flip),b,974,a),flip(a)]. 979 T(x,y) * (x * z) = x * (T(x,y) * z). [para(16(a,1),974(a,1,2,2)),flip(a)]. 980 T(x,y) * z != x * u | T(x,y) * (x \ z) = u. [para(974(a,1),22(a,1))]. 981 x * (T(x,y) * T(z,x)) = T(x,y) * (z * x). [para(35(a,2),974(a,1,2,2))]. 982 (x / y) * (T(x / y,z) * y) = T(x / y,z) * x. [para(69(a,1),974(a,1,2,2))]. 983 x \ (T(x,y) * z) != u | T(x,y) * (x \ z) = u. [para(974(a,1),237(a,1,2)),flip(b)]. 984 x \ (T(x,y) \ x) = T(x,y) \ 1. [hyper(413,a,975,a),flip(a)]. 985 x \ (T(x,x \ y) * z) = ((x \ y) \ y) * (x \ z). [hyper(189,a,219,a(flip),b,975,a)]. 986 L((T(x,y) * (x \ y)) / y,y,x) = (y * K(T(x,y),y)) / y. [para(975(a,1),743(a,1,1,1))]. 987 x * (T(x,y) \ 1) = T(x,y) \ x. [para(984(a,1),17(a,1,2))]. 988 (T(x,y) \ x) / (T(x,y) \ 1) = x. [para(984(a,1),67(a,1,2))]. 989 x * (T(x,y) \ 1) != z | T(x,y) \ x = z. [para(984(a,1),203(a,1,2)),flip(b)]. 992 (T(x,y) \ x) / T(x,T(x,y) \ 1) = T(x,y) \ 1. [hyper(76,a,987,a(flip),b,113,a)]. 993 (1 / T(x,y)) * x = x / T(x,y). [hyper(76,a,988,a(flip),b,847,a(flip)),flip(a)]. 994 (T(x,y) \ T(x,z)) / (T(x,y) \ 1) = T(x,z). [para(988(a,1),786(a,2,1))]. 995 T(1 / T(x,y),x) = x \ (x / T(x,y)). [hyper(147,a,993,a,b,17,a)]. 997 T(x,y) \ (x \ z) = x \ (T(x,y) \ z). [hyper(80,a,978,a)]. 998 T(x,y) * (x * (T(x,y) \ z)) = x * z. [hyper(189,a,89,a(flip),b,979,a)]. 999 T(T(x,y),x * (T(x,y) \ z)) = (x * (T(x,y) \ z)) \ (x * z). [hyper(147,a,979,a,b,211,a)]. 1000 T(x,y) \ (x * z) = x * (T(x,y) \ z). [hyper(75,a,89,a(flip),b,979,a)]. 1002 (x / y) * (T(x / y,y) * z) = (y \ x) * ((x / y) * z). [para(115(a,1),979(a,1,1)),flip(a)]. 1004 K(x \ (x / (1 / (1 / T(x,y)))),x) * (1 / T(x,y)) = x \ (x / T(x,y)). [hyper(189,a,894,a(flip),b,995,a(flip)),flip(a)]. 1005 T(x,y) * T(T(x,y) \ 1,x) = (x \ (x / T(x,y))) * T(x,y). [para(995(a,1),323(a,1,1)),flip(a)]. 1006 x * (T(x,y) \ (x \ z)) != u | T(x,y) \ z = u. [para(997(a,2),203(a,1,2)),flip(b)]. 1007 T(x,y) * (x \ (T(x,y) \ z)) != u * w | (x \ z) / w = u. [para(997(a,1),298(a,1,2))]. 1008 x * (T(x,y) \ y) = T(y,T(x,y)). [hyper(292,a,998,a),flip(a)]. 1009 T(x,y) \ K(x,1 / x) = x * (T(x,y) \ (1 / x)). [hyper(75,a,168,a,b,998,a)]. 1010 x * (T(x,y) \ ((x \ T(x,y)) * z)) = L(z,x \ T(x,y),x). [hyper(20,a,344,a,b,998,a)]. 1011 x * (T(x,y) \ (T(x,y) / x)) = K(x,T(x,y) / x). [hyper(20,a,214,a,b,998,a)]. 1012 T(x,y) \ (x * z) != u | x * (T(x,y) \ z) = u. [para(998(a,1),237(a,1,2)),flip(b)]. 1013 (x / y) * ((y \ x) \ y) = T(y,T(x / y,y)). [para(115(a,1),1008(a,1,2,1))]. 1014 T(T(x,y * x) * y,x) = T(x,y) * T(y,x). [hyper(147,a,619,a,b,981,a)]. 1015 T(x,y) * T(T(x,y) \ x,x) = L(x,T(x,y) \ x,T(x,y)). [hyper(20,a,344,a,b,981,a)]. 1017 (1 / T(x,y)) * T(x,z) = T(x,z) / T(x,y). [hyper(76,a,994,a(flip),b,847,a(flip)),flip(a)]. 1018 T(x,y) * (T(x,z) \ 1) = T(x,z) \ T(x,y). [para(994(a,1),19(a,1,1))]. 1019 (x / y) * ((y \ x) \ y) = T(y,y \ x). [para(115(a,1),1013(a,2,2))]. 1020 ((x * y) / x) * (y \ x) = T(x,x \ (x * y)). [para(16(a,1),1019(a,1,2,1))]. 1021 T(x,1 / T(x,y)) / T(x,y) = x * (1 / T(x,y)). [hyper(205,a,1017,a),flip(a)]. 1022 T(x,y) \ (T(x,y) / T(x,z)) = T(1 / T(x,z),T(x,y)). [hyper(147,a,1017,a,b,17,a),flip(a)]. 1023 (T(x,y) / T(x,z)) / T(x,y) = 1 / T(x,z). [hyper(88,a,1017,a)]. 1025 T(x / y,z) \ T(x / y,y) = (y \ x) * (T(x / y,z) \ 1). [para(115(a,1),1018(a,1,1)),flip(a)]. 1027 T(x,y) = ((x * y) / x) * (y \ x). [para(16(a,1),1020(a,2,2)),flip(a)]. 1028 T(x,y) / (y \ x) = (x * y) / x. [hyper(76,a,1027,a,b,xx)]. 1029 T((x * y) / x,y \ x) = (y \ x) \ T(x,y). [hyper(75,a,1027,a,b,113,a),flip(a)]. 1030 ((x * y) / x) \ T(x,y) = y \ x. [hyper(75,a,1027,a,b,xx)]. 1031 (x / (x / y)) * (y \ (x / y)) = T(x / y,y). [para(19(a,1),1027(a,2,1,1)),flip(a)]. 1032 ((x * (x / y)) / x) * y = T(x,x / y). [para(69(a,1),1027(a,2,2)),flip(a)]. 1033 ((x * R(y,y \ 1,x)) / x) * ((y \ 1) * x) = T(x,R(y,y \ 1,x)). [para(313(a,1),1027(a,2,2)),flip(a)]. 1034 R(x \ ((y * z) / y),x,z \ y) = T(T(y,z) / (x * (z \ y)),x). [para(1027(a,2),518(a,1,1,1)),flip(a)]. 1035 ((x * y) * x) / (x * y) = T(x * y,x) / y. [para(16(a,1),1028(a,1,2)),flip(a)]. 1038 (x \ y) \ K(T(y,x) \ ((y * x) / y),T(y,x)) = T((x \ y) \ 1,T(y,x)). [para(1028(a,1),887(a,1,2,1,2))]. 1039 x * ((y * (x \ y)) / y) = T(y,y / x). [hyper(761,a,1032,a)]. 1040 x \ T(y,y / x) = (y * (x \ y)) / y. [hyper(75,a,1032,a(flip),b,680,a(flip))]. 1041 T(x,x / y) != z | y * ((x * (y \ x)) / x) = z. [para(1032(a,1),761(a,1))]. 1042 (x / y) * ((x * y) / x) = T(x,x / (x / y)). [para(69(a,1),1039(a,1,2,1,2))]. 1043 (x * y) * L((x \ y) / y,y,x) = T(y,y / (x * y)). [para(675(a,2),1039(a,1,2))]. 1044 x * ((y * (x \ y)) / y) != z | T(y,y / x) = z. [para(1040(a,1),203(a,1,2)),flip(b)]. 1045 x * ((y * (x \ y)) / y) != z * u | z \ T(y,y / x) = u. [para(1040(a,1),301(a,1,2))]. 1046 T((x \ y) \ T(y,x),y) = T(x,x \ y). [para(1029(a,1),176(a,1,1))]. 1047 T((x \ y) \ T(y,x),x * y) = L(T(x,x \ y),y,x). [para(1029(a,1),736(a,1,1))]. 1048 T((x \ y) \ T(y,x),y) = (x \ y) \ y. [hyper(189,a,114,a(flip),b,1046,a)]. 1049 (x * y) / ((x * y) / x) = y / (x \ ((x * y) / x)). [hyper(76,a,142,a(flip),b,1031,a),flip(a)]. 1050 T(T(x * y,x) / y,x * y) = x. [para(1035(a,1),142(a,1,1))]. 1051 T(T(x * y,x) / y,y) = R(x,y,T(x,y)). [para(1035(a,1),703(a,1,1))]. 1052 T(T(R(x,y,y \ 1),x * y) / (y \ 1),(x * y) * (y \ 1)) = x * y. [para(369(a,1),1050(a,1,1,1,1))]. 1053 x \ T(y * x,y) = R(y,x,T(y,x)). [hyper(307,a,1051,a)]. 1054 x * R(y,x,T(y,x)) = T(y * x,y). [para(1051(a,1),146(a,1,2))]. 1055 R(x,y,T(x,y)) != z | y \ T(x * y,x) = z. [para(1051(a,1),307(a,1))]. 1056 L(R(x,y,T(x,y)),y,x) = x. [para(1053(a,1),360(a,1,1))]. 1057 T(x,x / (x / T(y,x))) = (x / T(y,x)) * y. [para(143(a,1),1042(a,1,2)),flip(a)]. 1059 T(x,y) \ K(x,1 / x) != z | x * (T(x,y) \ (1 / x)) = z. [para(168(a,2),1012(a,1,2))]. 1060 T(x,T(y,x)) != z | y * (T(y,x) \ x) = z. [para(157(a,1),1012(a,1))]. 1061 T(x,y) * (x \ T(x,z)) != u | T(x,z) * (x \ T(x,y)) = u. [para(977(a,1),983(a,1))]. 1062 (x / y) * (y * T(y \ x,z)) = T(x / y,z) * x. [para(323(a,1),982(a,1,2))]. 1063 x \ (((x \ y) \ y) * z) = ((x \ y) \ y) * (x \ z). [para(114(a,1),985(a,1,2,1))]. 1064 x * T(1 / x,T(x,y)) = K(x,T(x,y) / x). [para(794(a,1),1011(a,1,2))]. 1065 T(x,T(x,y) \ 1) / T(x,y) = x * (1 / T(x,y)). [para(853(a,1),1021(a,1,1))]. 1067 T(x / y,z) * u != (x / y) * (y * T(y \ x,z)) | u = x. [para(1062(a,2),22(a,2))]. 1069 x * (y * ((x \ y) / y)) = T(y,y / (x * y)). [hyper(207,a,1043,a)]. 1070 T(x,x / (y * x)) != z | y * (x * ((y \ x) / x)) = z. [para(1043(a,1),207(a,1))]. 1071 (x \ y) * T((x \ y) \ 1,z) = x \ (y * T(y \ x,z)). [hyper(80,a,972,a),flip(a)]. 1072 (x \ y) * T((x \ y) \ 1,y) = x \ ((y \ x) * y). [hyper(75,a,113,a(flip),b,972,a),flip(a)]. 1073 x * T(x \ y,y \ x) = y * K((y \ x) \ 1,y \ x). [para(229(a,1),972(a,1,2)),flip(a)]. 1074 x * T(x \ y,z) = y * K(z \ (z / (y \ x)),z). [para(886(a,2),972(a,1,2)),flip(a)]. 1075 K(x \ (x / (y \ z)),x) = y \ (z * T(z \ y,x)). [hyper(426,a,1074,a),flip(a)]. 1076 T(x * y,z) / y = x * K(z \ (z / (x \ (1 / y))),z). [hyper(189,a,778,a(flip),b,1074,a(flip)),flip(a)]. 1077 (x \ y) * K(z \ (z / ((x \ y) \ (x \ 1))),z) = x \ T(y,z). [hyper(189,a,771,a(flip),b,1074,a(flip))]. 1078 (x * y) * K(z \ (z / ((x * y) \ x)),z) = x * T(y,z). [para(16(a,1),1074(a,1,2,1)),flip(a)]. 1079 (x * y) * T((x * y) \ (y * x),z) = (y * x) * K(z \ (z / K(x,y)),z). [para(29(a,2),1074(a,2,2,1,2,2))]. 1080 (x * (y * z)) * T((x * (y * z)) \ (x * y),u) = (x * y) * K(u \ (u / L(z,y,x)),u). [para(31(a,2),1074(a,2,2,1,2,2))]. 1081 K((x * (y \ z)) \ x,x * (y \ z)) = y \ (z * T(z \ y,x * (y \ z))). [para(18(a,1),1075(a,1,1,2))]. 1082 K(x \ (x / (y \ (y / z))),x) = y \ ((y / z) * T(z,x)). [para(69(a,1),1075(a,2,2,2,1))]. 1083 (x / y) * ((y \ x) * z) = (y \ x) * ((x / y) * z). [para(115(a,1),1002(a,1,2,1))]. 1084 (x \ (x * y)) * (((x * y) / x) * z) = ((x * y) / x) * (y * z). [para(142(a,1),1002(a,1,2,1)),flip(a)]. 1085 ((x / y) \ x) * ((x / (x / y)) * z) = (x / (x / y)) * (y * z). [para(164(a,1),1002(a,1,2,1)),flip(a)]. 1086 (x \ y) \ ((y / x) * z) = (y / x) * ((x \ y) \ z). [hyper(432,a,1083,a)]. 1087 (x / y) * ((y \ x) \ ((x / y) \ z)) = (y \ x) \ z. [hyper(431,a,1083,a),flip(a)]. 1088 (x / y) * ((y \ x) \ 1) = (y \ x) \ (x / y). [hyper(299,a,1083,a),flip(a)]. 1089 ((x \ 1) \ 1) / x = (x \ 1) \ (1 / x). [hyper(189,a,802,a(flip),b,1088,a(flip)),flip(a)]. 1090 (x \ 1) \ (1 / x) = K(x,1 / x). [hyper(495,a,1089,a),flip(a)]. 1091 (x \ 1) * K(x,1 / x) = 1 / x. [para(1090(a,1),17(a,1,2))]. 1092 (1 / x) / K(x,1 / x) = x \ 1. [para(1090(a,1),67(a,1,2))]. 1093 R(1 / x,x,1 / x) = x \ 1. [hyper(539,a,1092,a)]. 1094 R(x / (y * x),y,1 / y) = R(y \ 1,y,x). [para(1093(a,1),289(a,1,1)),flip(a)]. 1095 R(x \ 1,x,y) \ (((y / (x * y)) * x) * (1 / x)) = x * (1 / x). [para(1094(a,1),133(a,1,1))]. 1096 K(T(1 / T(x,y),T(x,z)),T(x,z)) / T(x,y) = T(1 / T(x,y),T(x,z)). [para(1022(a,1),891(a,1,1,1))]. 1097 (x / y) * K(z \ (z / ((x / y) \ (1 / y))),z) = T(x,z) / y. [para(19(a,1),1076(a,1,1,1)),flip(a)]. 1098 (x * y) * K(L(y \ 1,y,x) \ 1,L(y \ 1,y,x)) = x * T(y,L(y \ 1,y,x)). [para(319(a,1),1078(a,1,2,1,2))]. 1099 (1 / x) \ ((y * (1 / x)) / y) = x * ((y * (x \ 1)) / y). [para(15(a,1),939(a,1,2,1,2))]. 1100 (x * y) * T((x * y) \ (z * y),u) = (x * T(x \ z,u)) * y. [para(323(a,1),951(a,2,1))]. 1101 (x \ y) * T((x \ y) \ T(y,x),z) = x \ (y * T(x,z)). [para(144(a,1),971(a,1,2,2,1)),flip(a)]. 1102 (x \ y) * (T(y / x,z) \ 1) = T(y / x,z) \ (x \ y). [para(115(a,1),1025(a,1,2)),flip(a)]. 1103 T(x / (y \ x),z) \ ((y \ x) \ x) = ((y \ x) \ x) * (T(y,z) \ 1). [para(67(a,1),1102(a,1,2,1,1)),flip(a)]. 1104 ((x * y) / x) * (y * z) = y * (((x * y) / x) * z). [para(16(a,1),1084(a,1,1)),flip(a)]. 1105 x \ (((y * x) / y) * z) = ((y * x) / y) * (x \ z). [hyper(432,a,1104,a)]. 1106 ((x * y) / x) * (y \ 1) = y \ ((x * y) / x). [hyper(299,a,1104,a),flip(a)]. 1107 ((x * y) / x) \ (y * z) = y * (((x * y) / x) \ z). [hyper(75,a,89,a(flip),b,1104,a)]. 1108 (x \ ((y * x) / y)) / (x \ 1) = (y * x) / y. [hyper(88,a,1106,a)]. 1110 (1 / x) * ((y * x) / y) = ((y * x) / y) / x. [hyper(76,a,1108,a(flip),b,847,a(flip)),flip(a)]. 1111 ((x * (y \ 1)) / x) / (y \ 1) = y * ((x * (y \ 1)) / x). [hyper(456,a,1110,a),flip(a)]. 1112 ((x * y) / x) * (y \ ((((x * y) / x) \ y) * z)) = L(z,((x * y) / x) \ y,(x * y) / x). [hyper(577,a,1105,a),flip(a)]. 1113 (x / (x / y)) * (y * z) = y * ((x / (x / y)) * z). [hyper(455,a,1085,a),flip(a)]. 1115 (x / (x / y)) \ (y * z) = y * ((x / (x / y)) \ z). [hyper(75,a,89,a(flip),b,1113,a)]. 1116 (x * ((y / (y / x)) * z)) \ ((x * z) * (y / (y / x))) = K(x * z,y / (y / x)). [para(1113(a,1),29(a,2,1)),flip(a)]. 1117 x * (y * T(y \ (x \ (z * y)),u)) = (x * T(x \ z,u)) * y. [hyper(189,a,713,a(flip),b,1100,a(flip)),flip(a)]. 1118 x * T(x \ (x \ (y * x)),z) = T(x * T(x \ y,z),x). [hyper(147,a,1100,a(flip),b,713,a(flip)),flip(a)]. 1119 (x * y) * T((x * y) \ y,z) = (x * T(x \ 1,z)) * y. [para(14(a,1),1100(a,1,2,1,2))]. 1121 T(x * T(x \ y,z),x) = x * T(x \ T(y,x),z). [para(35(a,2),1118(a,1,2,1,2)),flip(a)]. 1122 x \ T(x * T(x \ y,z),x) = T(x \ T(y,x),z). [hyper(75,a,1121,a,b,xx)]. 1123 x \ T(x * T(y,z),x) = T(x \ T(x * y,x),z). [para(16(a,1),1122(a,1,2,1,2,1))]. 1125 x * (y * T(y \ (x \ y),z)) = (x * T(x \ 1,z)) * y. [hyper(189,a,713,a(flip),b,1119,a(flip)),flip(a)]. 1126 T(x,x * T(x \ 1,y)) = x. [hyper(147,a,569,a(flip),b,1119,a(flip))]. 1128 T(x,(x \ 1) * x) = x. [para(113(a,1),1126(a,1,2))]. 1129 T(x,K(x \ 1,x)) = x. [para(229(a,1),1126(a,1,2))]. 1130 (R(x,y,z) * (x * T(x \ 1,u))) / R(x,y,z) = x * T(x \ 1,u). [para(1126(a,1),175(a,1,2,1))]. 1131 R(x,(x * T(x \ 1,y)) / x,x) = T(x,(x * T(x \ 1,y)) / x). [para(1126(a,1),618(a,1,1))]. 1132 T(x \ 1,T(x,y) * (x \ 1)) = x \ 1. [para(326(a,1),1126(a,1,2))]. 1133 T(x \ 1,x \ T(x,y)) = x \ 1. [para(770(a,1),1126(a,1,2))]. 1134 T(1 / x,T(x,y) / x) = 1 / x. [para(792(a,1),1126(a,1,2))]. 1135 R(x,x \ 1,x) = T(x,x \ 1). [para(1128(a,1),615(a,1,1))]. 1136 K(x \ 1,x) * x = x * K(x \ 1,x). [para(1129(a,1),113(a,1,2))]. 1137 R(x,x \ 1,x) = (x \ 1) \ 1. [hyper(189,a,114,a(flip),b,1135,a)]. 1138 R(T(x,y),x \ 1,x) = T(T(x,x \ 1),y). [para(1135(a,1),45(a,2,1))]. 1139 x / K(x \ 1,x) = (x \ 1) \ 1. [hyper(189,a,401,a,b,1137,a(flip)),flip(a)]. 1140 T(x \ T(x,y),x \ 1) = x \ T(x,y). [hyper(38,a,1133,a)]. 1141 T((x * (1 / y)) / x,T(y,z) / y) = (x * (1 / y)) / x. [para(1134(a,1),330(a,1,1,2)),flip(a)]. 1142 ((x \ 1) \ 1) * K(x \ 1,x) = x. [para(1139(a,1),19(a,1,1))]. 1143 T(x,x \ 1) * K(x \ 1,x) = x. [hyper(465,a,1142,a)]. 1144 R(x \ 1,T(x,y),x \ 1) = T(x \ 1,T(x,y)). [para(1132(a,1),615(a,1,1))]. 1145 K(x \ 1,x) * x = 1 / (1 / x). [hyper(189,a,474,a(flip),b,1136,a)]. 1146 T((x * y) \ (y * x),y \ 1) = L(y \ T(y,x),y,x). [para(1140(a,1),585(a,1,1)),flip(a)]. 1147 K(x,y) = T((y * x) \ (x * y),x \ 1). [hyper(189,a,584,a,b,1146,a),flip(a)]. 1148 T(K(x,y),x \ 1) = K(x,y). [para(29(a,2),1147(a,2,1)),flip(a)]. 1149 T(x \ 1,K(x,y)) = x \ 1. [hyper(38,a,1148,a)]. 1150 T((x * y) \ x,K(y,z)) = L(y \ 1,y,x). [para(1149(a,1),280(a,2,1))]. 1151 T((x * y) \ x,K(y,z)) = (x * y) \ x. [hyper(189,a,140,a(flip),b,1150,a)]. 1152 T(K(x,y),(z * x) \ z) = K(x,y). [hyper(38,a,1151,a)]. 1153 T(K(x \ 1,y),x) = K(x \ 1,y). [para(121(a,1),1152(a,1,2))]. 1155 K(x \ 1,y) * x = x * K(x \ 1,y). [para(1153(a,1),113(a,1,2)),flip(a)]. 1156 (x * T(x \ 1,y)) * y = x * ((y \ (x \ y)) * y). [para(113(a,1),1125(a,1,2)),flip(a)]. 1157 (x \ 1) * ((x \ T(x,y)) * ((x \ 1) \ z)) = ((x \ 1) * T((x \ 1) \ 1,y)) * z. [para(918(a,2),1125(a,1,2))]. 1158 x * T(y * T(y \ 1,x),x) = y * ((x \ (y \ x)) * x). [hyper(206,a,1156,a)]. 1159 x * ((y \ z) * T((y \ z) \ (x \ z),u)) = (x * T(x \ y,u)) * (y \ z). [para(17(a,1),1117(a,1,2,2,1,2,2))]. 1160 (x * T(x \ (y / z),u)) * z = x * (z * T(z \ (x \ y),u)). [para(19(a,1),1117(a,1,2,2,1,2,2)),flip(a)]. 1161 ((x * y) * T((x * y) \ x,z)) * u = (x * y) * (u * T(u \ L(y \ u,y,x),z)). [para(104(a,2),1117(a,1,2,2,1,2)),flip(a)]. 1162 x * (y * T(y \ (x \ z),x)) = ((x \ (z / y)) * x) * y. [para(113(a,1),1160(a,1,1)),flip(a)]. 1163 (T((x / y) / z,u) * z) * y = z * (y * T(y \ (z \ x),u)). [para(323(a,2),1160(a,1,1))]. 1164 ((x / y) * K(y \ 1,y)) * y = x * (y * T(y \ (x \ x),y)). [para(842(a,2),1160(a,1,1))]. 1165 (x * y) * T((x * y) \ z,x) = ((x \ (z / y)) * x) * y. [hyper(189,a,713,a,b,1162,a(flip)),flip(a)]. 1166 ((x \ ((x * y) / z)) * x) * z = x * (z * T(z \ y,x)). [para(16(a,1),1162(a,1,2,2,1,2)),flip(a)]. 1167 ((x \ (x / y)) * x) * y = x * (y * T(y \ 1,x)). [para(59(a,1),1162(a,1,2,2,1,2)),flip(a)]. 1168 ((x \ (y / y)) * x) * y = x * (K(x \ 1,x) * (x \ y)). [para(910(a,2),1162(a,1,2)),flip(a)]. 1169 x * ((y \ x) * T((y \ x) \ 1,x)) = ((x \ y) * x) * (y \ x). [para(67(a,1),1167(a,1,1,1,2)),flip(a)]. 1170 x * (x * T(x \ T(y,x),x)) = ((x \ y) * x) * x. [para(143(a,1),1166(a,1,1,1,2)),flip(a)]. 1171 x * ((x \ T(y,x)) * x) = ((x \ y) * x) * x. [para(113(a,1),1170(a,1,2))]. 1172 T((x \ y) * x,x) = (x \ T(y,x)) * x. [hyper(148,a,1171,a)]. 1173 T(x,y) \ T((y \ x) * y,y) = K(y \ T(x,y),y). [hyper(75,a,1172,a,b,213,a)]. 1174 x * (T((x \ y) * x,x) / x) = T(y,x). [para(1172(a,2),66(a,1,2,1))]. 1175 x * (T(y * x,x) / x) = T(x * y,x). [para(16(a,1),1174(a,1,2,1,1,1))]. 1176 T(x * (y / x),x) = x * (T(y,x) / x). [para(70(a,1),1174(a,1,2,1,1)),flip(a)]. 1177 T(x * ((1 / x) * y),x) = x * ((1 / x) * T(y,x)). [para(777(a,1),1175(a,1,2)),flip(a)]. 1178 x \ T(x * (y / x),x) = T(y,x) / x. [hyper(75,a,1176,a,b,xx)]. 1180 x \ T(x * T((x * y) / x,z),x) = T(x * T(y,z),x) / x. [para(330(a,1),1178(a,1,2,1,2))]. 1181 x \ T(x * L((x * y) / x,z,u),x) = T(x * L(y,z,u),x) / x. [para(662(a,2),1178(a,1,2,1,2))]. 1182 x \ T(x * T(y / x,z),x) = T(T(y,x) / x,z). [para(1178(a,1),1123(a,2,1))]. 1183 T(x * y,x) \ T(y * x,x) = K(x \ T(x * y,x),x). [para(16(a,1),1173(a,1,2,1,1))]. 1184 T(x * ((1 / x) * ((1 / x) \ (x \ (y * (1 / x))))),x) = (x * T(x \ y,x)) * (1 / x). [hyper(189,a,1117,a(flip),b,1177,a)]. 1185 T(x * T(y / x,z),x) = x * T(T(y,x) / x,z). [para(1182(a,1),17(a,1,2)),flip(a)]. 1186 T(x * T(1 / x,y),x) = x * T(1 / x,y). [para(191(a,1),1185(a,2,2,1,1))]. 1187 x \ T(x * T(y / x,z),x) != u | T(T(y,x) / x,z) = u. [para(1185(a,2),237(a,1,2)),flip(b)]. 1188 x * (K(x \ 1,x) * (x \ y)) = ((x \ 1) * x) * y. [para(64(a,1),1168(a,1,1,1,2)),flip(a)]. 1190 x * (K(x \ 1,x) * (x \ y)) = K(x \ 1,x) * y. [para(165(a,2),1188(a,2,1))]. 1191 K(x \ 1,x) * (x * y) = x * (K(x \ 1,x) * y). [para(16(a,1),1190(a,1,2,2)),flip(a)]. 1192 x * (K(x \ 1,x) * T(y,x)) = K(x \ 1,x) * (y * x). [para(35(a,2),1190(a,1,2,2))]. 1193 (K(x \ 1,x) * y) \ (x * (K(x \ 1,x) * y)) = L(T(x,y),y,K(x \ 1,x)). [para(1191(a,1),154(a,1,2))]. 1194 ((x / y) * K(y \ 1,y)) * y = x * (y * T(y \ 1,y)). [para(59(a,1),1164(a,2,2,2,1,2))]. 1196 ((x / y) * K(y \ 1,y)) * y = x * ((y \ 1) * y). [para(113(a,1),1194(a,2,2))]. 1197 ((x / y) * K(y \ 1,y)) * y = x * K(y \ 1,y). [para(229(a,1),1194(a,2,2))]. 1198 (1 / x) * K(x \ 1,x) = x \ 1. [hyper(21,a,14,a(flip),b,1196,a)]. 1199 (x \ 1) \ ((1 / x) * (K(x \ 1,x) * y)) = L(y,K(x \ 1,x),1 / x). [para(1198(a,1),31(a,2,1)),flip(a)]. 1200 (1 / x) * ((x \ 1) * x) = x \ 1. [para(165(a,1),1198(a,1,2))]. 1201 (1 / x) \ (x \ 1) != y | K(x \ 1,x) = y. [para(1198(a,1),237(a,1,2)),flip(b)]. 1202 (1 / x) * (L(x \ 1,y,z) * x) = L(x \ 1,y,z). [para(1200(a,1),864(a,1,1)),flip(a)]. 1203 (x * y) \ x = (1 / y) * (L(y \ 1,y,x) * y). [hyper(189,a,140,a(flip),b,1202,a),flip(a)]. 1204 L((x \ y) \ 1,x \ y,x) * (x \ y) = (1 / (x \ y)) \ (y \ x). [hyper(75,a,276,a(flip),b,1202,a),flip(a)]. 1205 (1 / x) * (((y * x) \ y) * x) = (y * x) \ y. [para(140(a,1),1203(a,2,2,1)),flip(a)]. 1206 (1 / x) \ ((y * x) \ y) = ((y * x) \ y) * x. [hyper(80,a,1205,a)]. 1207 (1 / x) * ((((y * x) \ y) \ (((y * x) \ y) * x)) * ((y * x) \ y)) = ((1 / x) * T((1 / x) \ 1,(y * x) \ y)) * ((y * x) \ y). [para(1206(a,1),1156(a,2,2,1,2)),flip(a)]. 1208 ((x \ y) * x) * (y \ x) = x * (y \ ((x \ y) * x)). [para(1072(a,1),1169(a,1,2)),flip(a)]. 1209 ((x \ y) * x) * (y \ x) = x * K(x \ y,x). [para(96(a,1),1208(a,2,2))]. 1210 (x * y) * ((y * x) \ y) = y * K(y \ (y * x),y). [para(16(a,1),1209(a,1,1,1))]. 1211 (x * y) * ((y * x) \ y) = y * K(x,y). [para(16(a,1),1210(a,2,2,1))]. 1213 K(x \ (x * y),x) = K(y,x). [hyper(20,a,1210,a(flip),b,1211,a(flip)),flip(a)]. 1214 (x * y) * L(x \ 1,x,y) = y * K(x,y). [para(140(a,2),1211(a,1,2))]. 1215 K(x \ (x * y),z) = K(y,z). [para(60(a,1),1213(a,1,1)),flip(a)]. 1216 K((x / y) \ x,z) = K(y,z). [para(19(a,1),1215(a,1,1,2))]. 1218 T(x * T(y,z),x) / x = T(T(x * y,x) / x,z). [hyper(1187,a,1180,a),flip(a)]. 1219 (L(x,y,z) * (z * y)) \ (x * (z * y)) = a(z,y,T(x,z * y)). [para(498(a,1),151(a,1,1))]. 1220 (L(x,y \ z,y) * z) \ (x * (y * (y \ z))) = a(y,y \ z,T(x,y * (y \ z))). [para(17(a,1),1219(a,1,1,2))]. 1221 R(x * (y \ 1),z,u) / (y \ 1) = y * R(y \ x,z,u). [hyper(76,a,464,a(flip),b,665,a)]. 1222 x * R(x \ (y / (x \ 1)),z,u) = R(y,z,u) / (x \ 1). [para(19(a,1),1221(a,1,1,1)),flip(a)]. 1223 x * ((x \ y) * ((z * ((x \ y) \ u)) / z)) = y * ((z * (y \ (x * u))) / z). [para(694(a,1),344(a,1,2)),flip(a)]. 1224 x * L(R(T(y,x),z,z \ x),u,w) = (L(y,u,w) * z) * (z \ x). [para(47(a,1),737(a,1,2))]. 1225 K(x \ (x / y),x) != z | y * T(y \ 1,x) = z. [para(320(a,1),841(a,1))]. 1226 T(x,y) / x != z | (1 / x) * T((1 / x) \ 1,y) = z. [para(889(a,1),1225(a,1))]. 1227 R((1 / x) * ((y * x) / y),x,x \ y) = (1 / x) * ((T(y,x) / y) * x). [para(1027(a,2),856(a,1,2,1,1)),flip(a)]. 1228 T(x,(x * T(x \ 1,y)) / x) = R(x,T(1 / x,y),x). [para(328(a,1),1131(a,1,2)),flip(a)]. 1229 R(x,T(1 / x,y),x) = T(x,T(1 / x,y)). [para(328(a,1),1228(a,1,2)),flip(a)]. 1230 R(R(x,y,z),T(1 / x,u),x) = R(T(x,T(1 / x,u)),y,z). [para(1229(a,1),49(a,1,1)),flip(a)]. 1231 T(x,T(1 / x,y)) * T(T(1 / x,y),x) = T(x * T(1 / x,y),x). [para(1229(a,1),930(a,1,1))]. 1232 (1 / (x \ y)) \ (y \ x) = (y \ x) * (x \ y). [para(276(a,1),1204(a,1,1)),flip(a)]. 1233 (1 / (x \ y)) * ((y \ x) * (x \ y)) = y \ x. [para(1232(a,1),17(a,1,2))]. 1234 (1 / ((x * y) \ x)) * ((x \ (x * y)) * ((x * y) \ x)) = y. [hyper(189,a,16,a(flip),b,1233,a)]. 1235 T(1 / (x \ y),(y \ x) * (x \ y)) = ((y \ x) * (x \ y)) \ (y \ x). [hyper(147,a,1233,a,b,17,a)]. 1237 (1 / ((x * y) \ x)) * (y * ((x * y) \ x)) = y. [para(16(a,1),1234(a,1,2,1))]. 1238 (L(1 / x,y,z) * x) * (x \ u) = u * L(u \ (x \ u),y,z). [para(723(a,1),1224(a,1,2,1)),flip(a)]. 1239 (x * L(x \ 1,y,z)) * (x \ u) = u * L(u \ (x \ u),y,z). [para(502(a,1),1238(a,1,1))]. 1240 (x * L(x \ (y \ x),z,u)) / (y \ x) = y * L(y \ 1,z,u). [hyper(88,a,1239,a)]. 1241 (((x * y) * z) * L(((x * y) * z) \ (y * z),u,w)) / (R(x,y,z) \ ((x * y) * z)) = R(x,y,z) * L(R(x,y,z) \ 1,u,w). [para(133(a,1),1240(a,1,1,2,1,2))]. 1242 ((x \ (y / (x \ z))) * x) * (x \ z) = T(y / z,x) * z. [para(17(a,1),605(a,2,1,1,2))]. 1243 ((x \ (y / (x \ z))) * x) * (x \ z) = z * T(z \ y,x). [hyper(189,a,323,a(flip),b,1242,a)]. 1244 ((x \ y) * x) * (x \ z) = z * T(z \ (y * (x \ z)),x). [para(18(a,1),1243(a,1,1,1,2))]. 1245 K(x \ 1,x) * R(((x \ 1) * x) \ y,z,u) = (x \ 1) * (x * R(x \ ((x \ 1) \ y),z,u)). [para(165(a,2),810(a,1,1))]. 1246 (L((x * y) / x,z,u) * x) * y = (x * y) * L(y,z,u). [hyper(690,a,815,a),flip(a)]. 1247 (x * y) * L((x * y) \ (z * y),u,w) = (L(z / x,u,w) * x) * y. [hyper(673,a,815,a)]. 1248 (x * L(y,z,u)) * y = (x * y) * L(y,z,u). [para(503(a,1),1246(a,1,1))]. 1249 ((x / L(y,z,u)) * y) \ (x * y) = L(y,z,u). [hyper(430,a,1248,a)]. 1250 (1 / L(x,y,z)) * x = x / L(x,y,z). [hyper(423,a,1248,a),flip(a)]. 1251 (x * L(x \ 1,y,z)) * (x \ 1) = L(x \ 1,y,z). [hyper(189,a,61,a(flip),b,1248,a)]. 1252 (x * L(y,z,u)) \ ((x * y) * L(y,z,u)) = y. [hyper(80,a,1248,a)]. 1253 (x * L(y,z,u)) / y = (x / y) * L(y,z,u). [hyper(76,a,90,a(flip),b,1248,a)]. 1254 (1 / x) * L(x,y,z) = L(x,y,z) / x. [hyper(76,a,68,a(flip),b,1248,a),flip(a)]. 1255 (x * (y * L(x,z,u))) \ ((y * x) * L(x,z,u)) = K(y * L(x,z,u),x). [hyper(75,a,1248,a(flip),b,95,a)]. 1256 ((x * y) * L(y,z,u)) \ (y * (x * L(y,z,u))) != w | K(y,x * L(y,z,u)) = w. [para(1248(a,1),240(a,1,1))]. 1258 T(1 / L(x,y,z),x) = x \ (x / L(x,y,z)). [hyper(147,a,1250,a,b,17,a)]. 1259 (x / L(x,y,z)) / x = 1 / L(x,y,z). [hyper(88,a,1250,a)]. 1261 (L(x,y,z) / x) / L(x,y,z) = 1 / x. [hyper(88,a,1254,a)]. 1262 L(L(x,y,z) \ u,L(x,y,z),1 / x) = (L(x,y,z) / x) \ ((1 / x) * u). [para(1254(a,1),104(a,2,1))]. 1263 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(1254(a,1),563(a,1,2))]. 1264 (1 / L(x,y,z)) * x != u | x / L(x,y,z) = u. [para(1259(a,1),200(a,1,1)),flip(b)]. 1265 (x * y) / L(y,z,u) != w | (x / L(y,z,u)) * y = w. [para(1249(a,1),246(a,1,2)),flip(b)]. 1266 L(x,y,z) = ((z * y) * x) \ ((z * (y * x)) * x). [para(128(a,1),1249(a,1,1,1)),flip(a)]. 1267 R(T(x,y * L(x,z,u)),y,L(x,z,u)) = T(x,y). [para(1252(a,1),832(a,1,1)),flip(a)]. 1268 ((x * y) / z) * L(z,y,x) = (x * (y * z)) / z. [para(102(a,1),1253(a,1,1)),flip(a)]. 1269 T(x \ (x / L(x,y,z)),L(x,y,z)) = T(L(x,y,z) \ 1,x). [para(1258(a,1),161(a,1,1))]. 1270 (x * L(y,z,u)) * T(y,x) = (y * x) * L(y,z,u). [para(1267(a,1),505(a,1,2))]. 1271 ((x * y) * L(x,z,u)) / T(x,y) = y * L(x,z,u). [para(1267(a,1),506(a,1,2))]. 1272 (x * y) / L(z,y,R(x,y,z)) = (R(x,y,z) * y) / z. [hyper(410,a,1268,a(flip))]. 1273 (x * (y * z)) / z != L(z,y,x) * u | T((x * y) / z,L(z,y,x)) = u. [para(1268(a,1),148(a,2)),flip(a)]. 1274 (x * ((y * x) \ y)) * (x \ 1) = L(x \ 1,x,y). [para(140(a,1),1251(a,1,1,2))]. 1275 (x * ((y * x) \ y)) * (x \ 1) = (y * x) \ y. [hyper(189,a,140,a(flip),b,1274,a)]. 1276 L(x \ 1,x,y) \ ((x \ 1) * (x * ((y * x) \ y))) = K(x \ 1,x * ((y * x) \ y)). [para(1274(a,1),29(a,2,1)),flip(a)]. 1277 ((x * y) \ x) * z != (y \ 1) * (y * ((x * y) \ x)) | K(y \ 1,y * ((x * y) \ x)) = z. [para(1275(a,1),215(a,1,1))]. 1278 T(x,y) \ ((x * y) * L(x,z,u)) = T(y * L(x,z,u),T(x,y)). [hyper(147,a,1270,a,b,17,a),flip(a)]. 1279 (x * L(y,z,u)) / T(y,y \ x) = (y \ x) * L(y,z,u). [hyper(76,a,91,a(flip),b,1270,a)]. 1281 ((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(110(a,1),831(a,1,2))]. 1282 T(1 / x,(y / (x * y)) * x) != z | L(x \ 1,x,y / (x * y)) = z. [para(863(a,1),310(a,1))]. 1283 x \ R(x * (y * (x \ 1)),z,u) = R(y,z,u) * (x \ 1). [hyper(189,a,160,a(flip),b,866,a)]. 1284 x \ R(x * (x \ T(y,x \ 1)),z,u) = R((x \ 1) \ (x \ y),z,u) * (x \ 1). [para(783(a,1),1283(a,1,2,1,2))]. 1285 (1 / x) * L((1 / x) \ y,z,u) = L(y * x,z,u) / x. [para(69(a,1),914(a,1,2)),flip(a)]. 1286 (1 / x) * L((1 / x) \ 1,y,z) = L(x,y,z) / x. [para(14(a,1),1285(a,2,1,1))]. 1287 L(T(x,y),y,R(x,z,u)) = T(x,R(x,z,u) * y). [hyper(238,a,928,a),flip(a)]. 1288 x \ (y * L(y \ (x * z),u,w)) = (x \ y) * L((x \ y) \ z,u,w). [hyper(80,a,931,a)]. 1289 (x / y) * (y * L(y \ ((x / y) \ z),u,w)) = x * L(x \ z,u,w). [para(17(a,1),933(a,2,2,1,2))]. 1290 x \ (y * R(y \ (x * z),u,w)) = (x \ y) * R((x \ y) \ z,u,w). [hyper(80,a,934,a)]. 1291 (x / y) \ (x * ((z * (x \ (x / y))) / z)) = y * ((z * (y \ 1)) / z). [hyper(80,a,938,a)]. 1292 ((x * (1 / (1 / T(y,x)))) / x) \ (y / T(y,x)) = 1 / T(y,x). [para(993(a,1),957(a,1,2))]. 1293 L(T(x,y),y,L(x,z,u)) = T(x,L(x,z,u) * y). [hyper(238,a,967,a),flip(a)]. 1294 x * T(y,L(y,z,u) * x) = L(y,x,L(y,z,u)) * x. [para(1293(a,1),159(a,1,2))]. 1295 T((x * y) / x,L(y,z,u) * x) = L(y,x,L(y,z,u)). [hyper(331,a,1294,a)]. 1296 (((x * y) / x) * (y \ 1)) * x = T(x,R(y,y \ 1,x)). [hyper(699,a,1033,a)]. 1297 (x \ ((y * x) / y)) * y = T(y,R(x,x \ 1,y)). [para(1106(a,1),1296(a,1,1))]. 1298 T(x,R(y,y \ 1,x)) / x = y \ ((x * y) / x). [hyper(88,a,1297,a)]. 1299 T(x,R(T(y,x),T(y,x) \ 1,x)) = (T(y,x) \ y) * x. [para(143(a,1),1297(a,1,1,2)),flip(a)]. 1300 T(x,R(y,y \ 1,x)) / x != z | y \ ((x * y) / x) = z. [para(1297(a,1),248(a,1,1)),flip(b)]. 1301 (1 / x) \ ((y * (1 / x)) / y) = T(y,R(1 / x,x,y)) / y. [para(69(a,1),1298(a,1,1,2,2)),flip(a)]. 1302 T(1 / x,T(x,R(y,y \ 1,x))) = L(x \ 1,x,y \ ((x * y) / x)). [para(1298(a,1),801(a,1,3)),flip(a)]. 1303 T(x,R(1 / y,y,x)) / x = y * ((x * (y \ 1)) / x). [hyper(189,a,1099,a(flip),b,1301,a(flip))]. 1304 (x * ((y * (x \ 1)) / y)) * y = T(y,R(1 / x,x,y)). [para(1303(a,1),19(a,1,1))]. 1305 (T(x,y) * ((T(x,y) \ x) / x)) * x = T(x,R(1 / T(x,y),T(x,y),x)). [para(987(a,1),1304(a,1,1,2,1))]. 1306 ((x \ y) \ y) * (T(x,z) \ 1) = T(x,z) \ ((x \ y) \ y). [para(67(a,1),1103(a,1,1,1)),flip(a)]. 1307 ((x \ y) \ y) * (x \ (T(x,z) \ 1)) = x \ (T(x,z) \ ((x \ y) \ y)). [para(1306(a,1),1063(a,1,2)),flip(a)]. 1308 (x * (R(x,y,z) * T(x \ 1,u))) / R(x,y,z) = x * T(x \ 1,u). [para(922(a,1),1130(a,1,1))]. 1309 T(x,T(1 / x,y)) * T(x \ 1,y) = T(x * T(1 / x,y),x). [para(161(a,1),1231(a,1,2))]. 1310 T(x,T(1 / x,y)) * T(x \ 1,y) = x * T(1 / x,y). [hyper(189,a,1186,a(flip),b,1309,a)]. 1311 (L((x / y) / z,u,w) * z) * y = (z * y) * L((z * y) \ x,u,w). [para(19(a,1),1247(a,1,2,1,2)),flip(a)]. 1312 (x \ y) * L((x \ y) \ 1,z,u) = x \ (y * L(y \ x,z,u)). [para(15(a,1),1288(a,1,2,2,1,2)),flip(a)]. 1313 (x \ y) * L((x \ y) \ (x \ z),u,w) = x \ (y * L(y \ z,u,w)). [para(17(a,1),1288(a,1,2,2,1,2)),flip(a)]. 1314 (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(31(a,2),1312(a,1,1)),flip(a)]. 1315 (x \ y) * R((x \ y) \ 1,z,u) = x \ (y * R(y \ x,z,u)). [para(15(a,1),1290(a,1,2,2,1,2)),flip(a)]. 1316 (x * y) \ ((x * (y * z)) * R((x * (y * z)) \ (x * y),u,w)) = L(z,y,x) * R(((x * y) \ (x * (y * z))) \ 1,u,w). [para(31(a,2),1315(a,1,1)),flip(a)]. 1317 x \ ((y * x) * R((y * x) \ x,z,u)) = T(y,x) * R((x \ (y * x)) \ 1,z,u). [para(35(a,2),1315(a,1,1)),flip(a)]. 1318 (x / y) \ (x * ((x / y) / x)) = y * ((x * (y \ 1)) / x). [para(17(a,1),1291(a,1,2,2,1))]. 1319 K(x,(x / y) / x) = y * ((x * (y \ 1)) / x). [hyper(338,a,1318,a)]. 1320 x * ((y * (x \ 1)) / y) != z | K(y,(y / x) / y) = z. [para(1318(a,1),338(a,1))]. 1321 (x \ y) * ((y * ((x \ y) \ 1)) / y) = K(y,x / y). [para(67(a,1),1319(a,1,2,1)),flip(a)]. 1322 x * ((T(x,y) * (x \ 1)) / T(x,y)) = K(T(x,y),1 / x). [para(795(a,1),1319(a,1,2)),flip(a)]. 1323 x * ((R(x,y,z) * (x \ 1)) / R(x,y,z)) = K(R(x,y,z),1 / x). [para(878(a,1),1319(a,1,2)),flip(a)]. 1324 T(x,y) * ((T(x,z) * (T(x,y) \ 1)) / T(x,z)) = K(T(x,z),1 / T(x,y)). [para(1023(a,1),1319(a,1,2)),flip(a)]. 1325 x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = K(L(x,y,z),1 / x). [para(1261(a,1),1319(a,1,2)),flip(a)]. 1326 x * (((x \ 1) * T((x \ 1) \ 1,y)) / T(x,y)) = K(T(x,y),1 / x). [para(326(a,2),1322(a,1,2,1))]. 1327 x * ((x \ R(x,y,z)) / R(x,y,z)) = K(R(x,y,z),1 / x). [para(867(a,1),1323(a,1,2,1))]. 1328 (x * ((x \ 1) * R(x,y,z))) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). [para(113(a,1),1308(a,1,1,2))]. 1329 (L((x / y) / z,u,w) * z) * y = z * (y * L(y \ (z \ x),u,w)). [hyper(189,a,811,a(flip),b,1311,a)]. 1330 T(x,y) * L((y \ (x * y)) \ (y \ z),u,w) = y \ ((x * y) * L((x * y) \ z,u,w)). [para(35(a,2),1313(a,1,1))]. 1331 (x * L(x \ (y / z),u,w)) * z = x * (z * L(z \ (x \ y),u,w)). [para(502(a,1),1329(a,1,1))]. 1332 (x * (y * L(y \ (x \ z),u,w))) / y = x * L(x \ (z / y),u,w). [hyper(88,a,1331,a)]. 1333 (x / y) * L((x / y) \ (z / y),u,w) = (x * L(x \ z,u,w)) / y. [hyper(76,a,1289,a(flip),b,1331,a),flip(a)]. 1334 x * (y * L(y \ (x \ (z * y)),u,w)) = (x * L(x \ z,u,w)) * y. [para(18(a,1),1331(a,1,1,2,1,2)),flip(a)]. 1335 x * (y * L(y \ (x \ y),z,u)) = (x * L(x \ 1,z,u)) * y. [para(64(a,1),1331(a,1,1,2,1,2)),flip(a)]. 1336 x \ (y * (x * L(x \ (y \ z),u,w))) != v5 | T(y * L(y \ (z / x),u,w),x) = v5. [para(1331(a,1),238(a,1,2))]. 1337 (x * y) * L((x * y) \ y,z,u) = (x * L(x \ 1,z,u)) * y. [hyper(189,a,811,a,b,1335,a(flip)),flip(a)]. 1338 x * ((x * y) * L((x * y) \ y,z,u)) = (x * L(x \ 1,z,u)) * (x * y). [para(16(a,1),1335(a,1,2,2,1,2))]. 1339 T(x,x * L(x \ 1,y,z)) = x. [hyper(147,a,709,a(flip),b,1337,a(flip))]. 1340 T(x * L(x \ 1,T(x,y),y),y) = T(x,y) * ((x * y) \ y). [hyper(147,a,1337,a(flip),b,353,a(flip))]. 1342 K(x,x * L(x \ 1,y,z)) = 1. [hyper(39,a,1339,a)]. 1343 T(x \ y,(x \ y) * (y \ x)) = x \ y. [para(276(a,1),1339(a,1,2,2))]. 1344 T(x \ 1,x \ L(x,y,z)) = x \ 1. [para(854(a,1),1339(a,1,2))]. 1345 T(1 / x,L(x,y,z) / x) = 1 / x. [para(1286(a,1),1339(a,1,2))]. 1346 T(x \ 1,L(x,y,z) * (x \ 1)) = x \ 1. [para(962(a,2),1344(a,1,2))]. 1347 T((x * (1 / y)) / x,L(y,z,u) / y) = (x * (1 / y)) / x. [para(1345(a,1),330(a,1,1,2)),flip(a)]. 1348 R(x \ 1,L(x,y,z),x \ 1) = T(x \ 1,L(x,y,z)). [para(1346(a,1),615(a,1,1))]. 1349 (x * (y * L(y \ (x \ x),z,u))) / y = (x / y) * (y * L(y \ 1,z,u)). [hyper(189,a,932,a,b,1332,a)]. 1350 x * L(x \ (x \ (y * x)),z,u) = T(x * L(x \ y,z,u),x). [hyper(148,a,1334,a),flip(a)]. 1351 ((x * y) * L((x * y) \ x,z,u)) * y = (x * y) * (y * L(y \ 1,z,u)). [para(59(a,1),1334(a,1,2,2,1,2)),flip(a)]. 1352 T(x * L(x \ y,z,u),x) = x * L(x \ T(y,x),z,u). [para(35(a,2),1350(a,1,2,1,2)),flip(a)]. 1353 x \ T(x * L(x \ y,z,u),x) = L(x \ T(y,x),z,u). [hyper(75,a,1352,a,b,xx)]. 1354 L(x \ T(x * y,x),z,u) = x \ T(x * L(y,z,u),x). [para(16(a,1),1353(a,1,2,1,2,1)),flip(a)]. 1356 x \ T(x * L(y / x,z,u),x) = L(T(y,x) / x,z,u). [para(1178(a,1),1354(a,1,1)),flip(a)]. 1357 L(T(x * y,x) / x,z,u) = T(x * L(y,z,u),x) / x. [hyper(189,a,1181,a(flip),b,1356,a(flip))]. 1358 ((T(x,y) * (x \ 1)) * x) * L(z,(x \ 1) * x,T(T(x,x \ 1),y)) = R(T(x,y),x \ 1,x) * (((x \ 1) * x) * z). [para(1138(a,1),389(a,1,2,3))]. 1359 ((x * (y * (z \ 1))) / x) / (z \ 1) = z * ((x * (z \ y)) / x). [para(698(a,1),758(a,1,1))]. 1360 ((x * (y * ((1 / z) \ 1))) / x) / z = (1 / z) * ((x * ((1 / z) \ y)) / x). [para(69(a,1),1359(a,1,2))]. 1361 T(R(T(x,x * y),y,y \ 1) / (y \ 1),(x * y) * (y \ 1)) = x * y. [para(45(a,2),1052(a,1,1,1))]. 1362 (1 / x) * ((x \ 1) \ (K(x \ 1,x) * y)) = L(y,K(x \ 1,x),1 / x). [hyper(189,a,1086,a(flip),b,1199,a(flip)),flip(a)]. 1363 (x * (y * (1 / (1 / x)))) \ ((y * x) * L(x,x \ 1,x)) = K(y * L(x,x \ 1,x),x). [para(472(a,1),1255(a,1,1,2,2))]. 1364 (T(x,y) * ((T(x,y) \ x) / x)) * x = T(x,(1 * x) / (x * T(x,y))). [para(394(a,1),1305(a,2,2))]. 1365 (T(x,y) * ((T(x,y) \ x) / x)) * x = T(x,x / (x * T(x,y))). [para(14(a,1),1364(a,2,2,1))]. 1366 L(R(x,y,z),x \ 1,x) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). [para(166(a,1),1328(a,1,1))]. 1367 R(1 / (1 / x),y,z) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). [para(475(a,1),1366(a,1,1))]. 1368 T(T(x,x * y) * y,(x * y) * (y \ 1)) = x * y. [para(373(a,1),1361(a,1,1))]. 1369 T(T(x,x * y) * y,R(x,y,y \ 1)) = x * y. [para(369(a,1),1368(a,1,2))]. 1370 T(T(T(x,x * y) * y,z),R(x,y,y \ 1)) = T(x * y,z). [para(1369(a,1),41(a,1,1)),flip(a)]. 1371 L(L(x,y,y \ 1),K(y \ 1,y),1 / y) = (1 / y) * ((y \ 1) \ ((y \ 1) * (y * x))). [para(354(a,1),1362(a,1,2,2)),flip(a)]. 1372 x * (T(y,x) * T(T(y,x) \ 1,z)) = (y * x) * T((y * x) \ x,z). [para(113(a,1),714(a,1,2,1,1)),flip(a)]. 1373 T(x,y) * T(T(x,y) \ 1,z) = T(x * T(x \ 1,z),y). [hyper(147,a,1119,a(flip),b,1372,a),flip(a)]. 1374 T(x * T(x \ 1,y),z) = K(y \ (y / T(x,z)),y). [hyper(888,a,1373,a),flip(a)]. 1375 T(x,y) \ T(x * T(x \ 1,z),y) = T(T(x,y) \ 1,z). [hyper(80,a,1373,a)]. 1376 (x \ (x / T(x,y))) * T(x,y) = T(x * T(x \ 1,x),y). [hyper(189,a,1005,a(flip),b,1373,a(flip)),flip(a)]. 1377 T(x * T(x \ 1,T(x,y)),y) != z * T(x,y) | T(x,y) \ 1 = z. [para(1373(a,1),149(a,1)),flip(b)]. 1378 T(x \ T(x,y),z) = K(y \ (y / T(x \ 1,z)),y). [para(770(a,1),1374(a,1,1))]. 1379 K(x \ (x / T(L(y \ 1,y,x),z)),x) = T(K(y,x),z). [para(906(a,2),1374(a,1,1)),flip(a)]. 1380 T(K(x,y),L(x \ 1,x,y) \ z) = K(y \ (y / ((L(x \ 1,x,y) \ z) \ z)),y). [para(114(a,1),1379(a,1,1,2,2)),flip(a)]. 1381 T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ T(x * (x \ 1),y). [para(1133(a,1),1375(a,1,2,1,2)),flip(a)]. 1382 (x \ (x / T(x,y))) * T(x,y) = T(K(x \ 1,x),y). [para(229(a,1),1376(a,2,1))]. 1383 T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ T(1,y). [para(17(a,1),1381(a,2,2,1))]. 1385 T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ 1. [para(191(a,1),1383(a,2,2))]. 1386 T(x \ T(x,y),T(x,z) \ 1) = x \ T(x,y). [hyper(38,a,1385,a)]. 1388 K(x \ T(x,y),T(x,z) \ 1) = 1. [hyper(39,a,1386,a)]. 1389 (1 / (x / y)) \ (y / x) = ((1 * y) / x) * (x / y). [hyper(828,a,858,a),flip(a)]. 1390 (1 / (x / y)) \ (y / x) = (y / x) * (x / y). [para(14(a,1),1389(a,2,1,1))]. 1391 (1 / (x / y)) * ((y / x) * (x / y)) = y / x. [para(1390(a,1),17(a,1,2))]. 1392 (1 / ((x \ y) / y)) * ((y / (x \ y)) * ((x \ y) / y)) = x. [hyper(189,a,67,a(flip),b,1391,a)]. 1393 (1 / ((x \ y) / y)) * (x * ((x \ y) / y)) = x. [para(67(a,1),1392(a,1,2,1))]. 1394 T(1 / ((x \ y) / y),x * ((x \ y) / y)) = (x * ((x \ y) / y)) \ x. [hyper(147,a,1393,a,b,17,a)]. 1397 (x * y) * ((z * ((x * y) \ (x * u))) / z) = x * (y * ((z * (y \ u)) / z)). [para(16(a,1),936(a,2,2,2,1,2,2))]. 1398 (x * y) * ((z * ((x * y) \ x)) / z) = x * (y * ((z * (y \ 1)) / z)). [para(59(a,1),936(a,2,2,2,1,2,2))]. 1399 x \ T(x,x / (x * y)) = y * ((x * (y \ 1)) / x). [hyper(1045,a,1398,a)]. 1400 x * (y * ((x * (y \ 1)) / x)) = T(x,x / (x * y)). [hyper(1044,a,1398,a),flip(a)]. 1401 (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(102(a,1),1398(a,1,1))]. 1402 x \ T(x,x / (x * y)) = K(x,(x / y) / x). [hyper(189,a,1319,a,b,1399,a)]. 1403 T(x,R(1 / y,y,x)) = (x \ T(x,x / (x * y))) * x. [para(1399(a,2),1304(a,1,1)),flip(a)]. 1404 x * K(x,(x / y) / x) = T(x,x / (x * y)). [para(1402(a,1),17(a,1,2))]. 1405 T(x,x / (x * (y \ x))) = x * K(x,y / x). [para(67(a,1),1404(a,1,2,2,1)),flip(a)]. 1406 T(x,R(y,x,(y * x) \ x)) = x * K(x,(y * x) / x). [para(109(a,2),1405(a,1,2))]. 1407 T(x,R(y,x,(y * x) \ x)) = x * K(x,y). [para(18(a,1),1406(a,2,2,2))]. 1408 (x * y) * T((x * y) \ (y * x),x) = y * L(x,T(x,y) \ x,T(x,y)). [para(1015(a,1),940(a,2,2))]. 1409 x * L(y,T(y,x) \ y,T(y,x)) = (y * x) * T(K(x,y),y). [para(29(a,2),1408(a,1,2,1)),flip(a)]. 1410 (x * y) * K(z \ (z / K(y,x)),z) = (y * x) * T(K(x,y),z). [para(29(a,2),1079(a,1,2,1)),flip(a)]. 1411 (x * y) * (K(y,x) * T(K(y,x) \ 1,z)) = (y * x) * T(K(x,y),z). [para(886(a,1),1410(a,1,2))]. 1412 (x * y) \ ((y * x) * T(K(x,y),z)) = K(y,x) * T(K(y,x) \ 1,z). [hyper(80,a,1411,a)]. 1413 K(((x \ y) * (y \ x)) \ (x \ y),(x \ y) * (y \ x)) = y \ (x * (x \ y)). [para(1343(a,1),1081(a,2,2,2))]. 1414 x * ((x \ y) * ((z * ((x \ y) \ 1)) / z)) = y * ((z * (y \ x)) / z). [para(15(a,1),1223(a,2,2,1,2,2))]. 1415 x * K(y,(y / (x \ z)) / y) = z * ((y * (z \ x)) / y). [para(1319(a,2),1414(a,1,2))]. 1416 (x * y) * ((z * ((x * y) \ y)) / z) = y * K(z,(z / T(x,y)) / z). [para(35(a,2),1415(a,1,2,2,1,2)),flip(a)]. 1417 T(x,y) * ((T(x,y) \ T(x,z)) / T(x,z)) = K(T(x,z),1 / T(x,y)). [para(1018(a,1),1324(a,1,2,1))]. 1418 (x * L(x \ 1,y,z)) * (x * u) = x * ((x * L(x \ 1,y,z)) * u). [para(1337(a,1),1338(a,1,2)),flip(a)]. 1419 (x \ 1) * (((x \ 1) * L((x \ 1) \ 1,y,z)) * u) = (x \ L(x,y,z)) * ((x \ 1) * u). [para(854(a,1),1418(a,1,1)),flip(a)]. 1420 (x * (y * L(y \ 1,z,u))) / y = (x / y) * (y * L(y \ 1,z,u)). [para(59(a,1),1349(a,1,1,2,2,1,2))]. 1422 (x * (y * L(y \ 1,z,u))) * y = (x * y) * (y * L(y \ 1,z,u)). [para(709(a,1),1351(a,1,1))]. 1423 (x * y) * (y * L(y \ 1,y,1 / y)) = (x * (y * (1 / y))) * y. [para(277(a,1),1422(a,1,1,2,2)),flip(a)]. 1424 (x * (y * (1 / y))) * y = (x * y) * (y * (1 / y)). [para(277(a,1),1423(a,1,2,2)),flip(a)]. 1425 (1 / x) * ((y * ((1 / x) \ z)) / y) = ((y * (z * x)) / y) / x. [para(69(a,1),1360(a,1,1,1,2,2)),flip(a)]. 1426 ((x * (x * y)) / x) / y = T(x,x / (1 / y)). [hyper(1044,a,1425,a),flip(a)]. 1427 (1 / x) * ((y * ((1 / x) \ 1)) / y) = ((y * x) / y) / x. [para(14(a,1),1425(a,2,1,1,2))]. 1428 T(x,x / (1 / (x \ y))) = ((x * y) / x) / (x \ y). [para(17(a,1),1426(a,1,1,1,2)),flip(a)]. 1429 R(T(x,x / (1 / y)),y,x) = (x * (x * y)) / (y * x). [para(1426(a,1),187(a,1,1))]. 1430 K(((x \ y) * (y \ x)) \ (x \ y),(x \ y) * (y \ x)) = 1. [hyper(189,a,201,a(flip),b,1413,a)]. 1432 T(1 / (x \ y),(y \ x) * (x \ y)) = 1 / (x \ y). [para(1430(a,1),845(a,1,1)),flip(a)]. 1433 ((x \ y) * (y \ x)) \ (x \ y) = 1 / (y \ x). [hyper(189,a,1235,a(flip),b,1432,a(flip)),flip(a)]. 1434 L((x \ y) \ 1,x \ y,y \ x) = 1 / (x \ y). [hyper(310,a,1433,a)]. 1435 (((x * y) \ x) * y) \ ((x * y) \ x) = 1 / (x \ (x * y)). [para(16(a,1),1433(a,1,1,2))]. 1436 L(((x * y) \ x) \ 1,(x * y) \ x,y) = 1 / ((x * y) \ x). [para(16(a,1),1434(a,1,3))]. 1437 (((x * y) \ x) * y) \ ((x * y) \ x) = 1 / y. [para(16(a,1),1435(a,2,2))]. 1438 L(x \ 1,x,(y * x) \ y) = 1 / x. [hyper(310,a,1437,a)]. 1439 (((x * y) \ x) * y) * (1 / y) = (x * y) \ x. [para(1437(a,1),17(a,1,2))]. 1440 ((x * y) \ x) / (1 / y) = ((x * y) \ x) * y. [para(1437(a,1),67(a,1,2))]. 1441 L(x \ 1,x,x \ 1) = 1 / x. [para(14(a,1),1438(a,1,3,1))]. 1442 L(x \ 1,x,y \ (y / x)) = 1 / x. [para(19(a,1),1438(a,1,3,1))]. 1443 L(T(x \ 1,y),x,x \ 1) = T(1 / x,y). [para(1441(a,1),43(a,2,1))]. 1444 x * L(x \ (y \ x),y,y \ 1) = (y * (1 / y)) * (y \ x). [para(1441(a,1),1239(a,1,1,2)),flip(a)]. 1445 x * (y * L(y \ (x \ y),x,x \ 1)) = (x * (1 / x)) * y. [para(1441(a,1),1335(a,2,1,2))]. 1446 (x \ (x / y)) / (1 / y) = (x \ (x / y)) * y. [para(1442(a,1),283(a,1,2))]. 1447 K(x \ 1,x) * T(1 / x,y) = (x \ 1) * (x * T(x \ 1,y)). [para(1443(a,1),354(a,1,2))]. 1448 K(((x * y) \ x) \ (((x * y) \ x) * y),(x * y) \ x) * y = T(y,(x * y) \ x). [para(1440(a,1),894(a,2,1,1,2)),flip(a)]. 1449 T(1 / T(x,y),x) / (1 / T(x,y)) = (x \ (x / T(x,y))) * T(x,y). [para(995(a,2),1446(a,1,1))]. 1450 (x * ((y * x) \ y)) \ x = 1 / ((y * x) \ y). [hyper(189,a,140,a(flip),b,1436,a(flip)),flip(a)]. 1451 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(1447(a,1),498(a,1,2))]. 1452 T(1 / T(x,y),x) / (1 / T(x,y)) = T(K(x \ 1,x),y). [hyper(189,a,1382,a(flip),b,1449,a)]. 1453 K(x \ (x / (1 / (1 / T(x,y)))),x) = T(K(x \ 1,x),y). [hyper(899,a,1452,a)]. 1454 T(K(x \ 1,x),y) * (1 / T(x,y)) = x \ (x / T(x,y)). [para(1453(a,1),1004(a,1,1))]. 1456 ((x / y) * T((x / y) \ z,u)) * y = T((z * y) / x,u) * x. [para(597(a,1),592(a,1,1)),flip(a)]. 1457 (x / y) * T((x / y) \ x,z) = (x * T(y,z)) / y. [hyper(76,a,325,a(flip),b,1456,a),flip(a)]. 1458 (x * T(x \ (y * z),u)) / z = (x / z) * T((x / z) \ y,u). [hyper(76,a,323,a(flip),b,1456,a)]. 1459 (x * T(y,z)) / y = (x / y) * T(y,z). [para(69(a,1),1457(a,1,2,1)),flip(a)]. 1460 ((x / T(y,z)) / y) * T(y,z) = x / y. [hyper(189,a,185,a(flip),b,1459,a(flip))]. 1461 ((x / y) * T(y,z)) * y = x * T(y,z). [para(1459(a,1),19(a,1,1))]. 1462 ((x / y) * T(y,z)) \ (x * T(y,z)) = y. [para(1459(a,1),69(a,1,1))]. 1463 (x / y) * T(y,x) = (y * x) / y. [para(113(a,1),1459(a,1,1)),flip(a)]. 1464 ((x \ y) * y) / (x \ y) = x * T(x \ y,y). [hyper(456,a,1463,a),flip(a)]. 1465 T(x,y) \ ((x * y) / x) = T(y / x,T(x,y)). [hyper(147,a,1463,a,b,17,a),flip(a)]. 1466 T(x,y) = (y / x) \ ((x * y) / x). [hyper(80,a,1463,a),flip(a)]. 1467 (x * (y * x)) / x = y * T(x,y * x). [para(18(a,1),1463(a,1,1)),flip(a)]. 1469 T(x,y) \ ((x * y) / x) != z | T(y / x,T(x,y)) = z. [para(1463(a,1),238(a,1,2))]. 1470 (L(x \ 1,x,y) * y) / L(x \ 1,x,y) = (y * x) * T(L(x \ 1,x,y),y). [para(283(a,1),1463(a,1,1)),flip(a)]. 1471 (L(x,1 / x,y) * y) / L(x,1 / x,y) = (y * (1 / x)) * T(L(x,1 / x,y),y). [para(311(a,1),1463(a,1,1)),flip(a)]. 1472 K(x \ (x / (x \ (x / y))),x) = x \ ((y * x) / y). [para(1463(a,1),1082(a,2,2))]. 1473 x \ ((y * (x * y)) / y) = T(y,x * y). [para(18(a,1),1466(a,2,1)),flip(a)]. 1474 (x * L(x \ (y * x),z,u)) / y = (x / y) * L(T(y,x),z,u). [para(1466(a,2),1333(a,1,2,1)),flip(a)]. 1475 ((x * (1 / T(x,y))) / x) * T(x,y) = T(x,T(x,y) \ 1) / x. [para(1065(a,1),1460(a,1,1,1))]. 1476 (x * T(y,z)) * y = (x * y) * T(y,z). [para(18(a,1),1461(a,1,1,1))]. 1478 (x * T(T(y,x),z)) * T(y,x) = (y * x) * T(T(y,x),z). [para(129(a,1),1461(a,1,1,1))]. 1479 (x * T(y,z)) \ ((x * y) * T(y,z)) = y. [para(18(a,1),1462(a,1,1,1))]. 1480 T(x * T(y,x * y),y) = x * y. [para(1467(a,1),142(a,1,1))]. 1481 x * T(y,x * y) != z | (y * (x * y)) / y = z. [para(1473(a,1),203(a,1,2)),flip(b)]. 1482 x * T(y,x * y) != z * u | ((y * (x * y)) / y) / u = z. [para(1473(a,1),298(a,1,2))]. 1483 (x * y) / T(y,z) = (x / T(y,z)) * y. [hyper(420,a,1476,a)]. 1484 ((x / T(y,z)) * y) * T(y,z) = x * y. [hyper(252,a,1476,a),flip(a)]. 1486 (x * (y / z)) * T(y / z,z) = (x * (z \ y)) * (y / z). [para(115(a,1),1476(a,1,1,2)),flip(a)]. 1487 R(T(x,y * T(x,z)),y,T(x,z)) = T(x,y). [para(1479(a,1),832(a,1,1)),flip(a)]. 1489 x * T(y,z) != u * y | (u / T(y,z)) * y = x. [para(1484(a,1),23(a,1)),flip(a)]. 1490 (x * y) / T(y,z) != u | (x / T(y,z)) * y = u. [para(1484(a,1),248(a,1,1)),flip(b)]. 1491 T(x,x / (x / T(y,x))) * T(y,x) = x * y. [para(1057(a,2),1484(a,1,1))]. 1492 R(T(x,L(x,y,x) * y),y,T(x,x * y)) = T(x,y). [para(559(a,1),1487(a,1,1,2))]. 1493 T(x,y * T(y \ x,x)) = x. [para(1464(a,1),180(a,1,2))]. 1494 T(x,x * (y * T(y \ 1,x))) = x. [para(569(a,1),1493(a,1,2))]. 1495 T(x,x * K(y,x)) = x. [para(903(a,2),1494(a,1,2,2))]. 1496 T(x,x * (y \ (z * T(z \ y,x)))) = x. [para(1071(a,1),1494(a,1,2,2))]. 1497 T(x * K(y,x),x) = x * K(y,x). [hyper(38,a,1495,a)]. 1498 T(x,x * (T(x,y) \ ((y \ x) * ((y \ x) \ x)))) = x. [para(1048(a,1),1496(a,1,2,2,2,2))]. 1499 (x \ y) \ K(T(x / y,T(y,x)),T(y,x)) = T((x \ y) \ 1,T(y,x)). [para(1465(a,1),1038(a,1,2,1))]. 1500 T(x,x / (x / T(y,x))) * (y * x) = x * (x * y). [para(1491(a,1),981(a,1,2)),flip(a)]. 1501 x / T(x,y) != z | (1 / T(x,y)) * x = z. [para(14(a,1),1490(a,1,1))]. 1502 T(x,x * (T(x,y) \ x)) = x. [para(17(a,1),1498(a,1,2,2,2))]. 1503 T(T(x,y),x * (T(x,z) \ x)) = T(x,y). [para(1502(a,1),41(a,1,1)),flip(a)]. 1504 (x * (T(x,y) \ x)) \ (x * x) = T(x,y). [hyper(189,a,999,a(flip),b,1503,a(flip)),flip(a)]. 1505 (x * x) / T(x,y) = x * (T(x,y) \ x). [para(1504(a,1),67(a,1,2))]. 1506 (x * (((T(y,x) \ y) * x) \ x)) \ (x * x) = T(x,R(T(y,x),T(y,x) \ 1,x)). [para(1299(a,1),1504(a,1,1,2,1))]. 1507 (x / T(x,y)) * x = x * (T(x,y) \ x). [hyper(1490,a,1505,a)]. 1508 T(x / T(x,y),x) = T(x,y) \ x. [hyper(147,a,1483,a(flip),b,1505,a(flip))]. 1509 T(((T(x,y) \ x) * x) / (T(x,y) \ x),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). [para(1505(a,2),563(a,1,2))]. 1510 T(x,y) * T(T(x,y) \ x,x) = (T(x,y) \ x) * T(x,y). [para(1508(a,1),323(a,1,1)),flip(a)]. 1511 T(x,x / (x / T(y,x))) = (x * (x * y)) / (y * x). [hyper(88,a,1500,a),flip(a)]. 1512 (x * (x * y)) / (y * x) = (x / T(y,x)) * y. [hyper(189,a,1057,a(flip),b,1511,a(flip))]. 1513 R(T(x,x / (1 / y)),y,x) = (x / T(y,x)) * y. [hyper(189,a,1429,a,b,1512,a(flip)),flip(a)]. 1514 (T(x,y) * z) * T(x,z) = (x * z) * T(T(x,z),y). [para(158(a,1),1478(a,1,1))]. 1515 T(T(x,x * y) * y,T(x,y)) = x * y. [hyper(147,a,1514,a,b,113,a(flip))]. 1516 T(T(x,x \ 1),y) / T(x,x \ 1) = T(x,y) * (x \ 1). [hyper(76,a,61,a(flip),b,1514,a)]. 1519 T(x * y,R(x,y,y \ 1)) = T(x * y,T(x,y)). [para(1515(a,1),1370(a,1,1))]. 1520 T((x / y) * y,T(x / y,y)) = T(x,R(x / y,y,y \ 1)). [para(19(a,1),1519(a,1,1)),flip(a)]. 1521 (x * (y / z)) * (z \ y) = (x * (z \ y)) * (y / z). [para(115(a,1),1486(a,1,2))]. 1522 (x * (y \ (y * z))) * ((y * z) / y) = (x * ((y * z) / y)) * z. [para(142(a,1),1486(a,1,2)),flip(a)]. 1523 (x * ((y / z) \ y)) * (y / (y / z)) = (x * (y / (y / z))) * z. [para(164(a,1),1486(a,1,2)),flip(a)]. 1524 (1 / (x / y)) * (y \ x) = (y \ x) / (x / y). [hyper(423,a,1521,a),flip(a)]. 1525 (x * (y \ z)) / (z / y) = (x / (z / y)) * (y \ z). [hyper(420,a,1521,a)]. 1526 (x \ y) \ ((x \ y) / (y / x)) = T(1 / (y / x),x \ y). [hyper(147,a,1524,a,b,17,a),flip(a)]. 1528 T(T(x,x \ 1),y) / T(x,x \ 1) = x \ T(x,y). [hyper(189,a,773,a(flip),b,1516,a)]. 1529 K(T(1 / (1 / x),x \ 1),x \ 1) = T(x,x \ 1) / x. [para(1526(a,1),889(a,1,1))]. 1530 T(x,x \ 1) / x = K(x,x \ 1). [para(952(a,1),1529(a,1,1)),flip(a)]. 1531 K(x,1 / x) = K(x,x \ 1). [hyper(602,a,1530,a)]. 1532 K(x,x \ 1) * x = T(x,x \ 1). [para(1530(a,1),19(a,1,1))]. 1533 ((x \ 1) \ 1) / x = K(x,x \ 1). [para(114(a,1),1530(a,1,1))]. 1535 K(x,x \ 1) = x * (1 / x). [hyper(305,a,1531,a),flip(a)]. 1536 K((x / y) \ x,1 / y) = K(y,y \ 1). [hyper(189,a,1216,a,b,1531,a(flip)),flip(a)]. 1537 x \ K(x,x \ 1) = 1 / x. [hyper(75,a,1531,a(flip),b,168,a(flip))]. 1538 K(x \ 1,(x \ 1) \ 1) = K(x \ 1,x). [para(67(a,1),1531(a,1,2)),flip(a)]. 1539 K(x,x \ 1) != y | x * (1 / x) = y. [para(1531(a,1),305(a,1))]. 1540 K(x,x \ 1) * x = (x \ 1) \ 1. [para(1531(a,1),492(a,1,1))]. 1541 (x \ 1) * K(x,x \ 1) = 1 / x. [para(1531(a,1),1091(a,1,2))]. 1542 T(x,y) \ K(x,x \ 1) != z | x * (T(x,y) \ (1 / x)) = z. [para(1531(a,1),1059(a,1,2))]. 1543 R(x \ 1,x,y) \ (((y / (x * y)) * x) * (1 / x)) = K(x,x \ 1). [hyper(189,a,1095,a,b,1535,a),flip(a)]. 1544 (1 / (1 / (1 / x))) * x = K(x,x \ 1). [hyper(189,a,955,a,b,1535,a),flip(a)]. 1545 K(x \ 1,x) \ 1 = x * (1 / x). [hyper(189,a,321,a,b,1535,a(flip)),flip(a)]. 1547 R(x,y,1 / y) * K(y,y \ 1) = (x * y) * (1 / y). [para(1535(a,2),110(a,1,2))]. 1548 K(x,x \ 1) * y != x * ((1 / x) * z) | L(z,1 / x,x) = y. [para(1535(a,2),346(a,1,1))]. 1550 (T((x / (1 / y)) / y,z) * y) * (1 / y) = T(x / (y * (1 / y)),z) * K(y,y \ 1). [para(1535(a,2),719(a,2,2))]. 1551 L(x,y,z) \ K(x,x \ 1) = x * (L(x,y,z) \ (1 / x)). [para(1535(a,2),963(a,1,2))]. 1552 (x * K(y,y \ 1)) * y = (x * y) * (y * (1 / y)). [para(1535(a,2),1424(a,1,1,2))]. 1553 x * L(x \ (y \ x),y,y \ 1) = K(y,y \ 1) * (y \ x). [para(1535(a,2),1444(a,2,1))]. 1554 x * (1 / x) != y | K(x,x \ 1) = y. [para(1537(a,1),203(a,1,2)),flip(b)]. 1555 x \ ((x / y) * K(y,y \ 1)) = L(1 / y,y,x / y). [para(1537(a,1),364(a,1,1)),flip(a)]. 1556 T(x,x \ 1) * y != K(x,x \ 1) * (x * z) | L(z,x,K(x,x \ 1)) = y. [para(1532(a,1),346(a,1,1))]. 1558 ((x \ 1) \ 1) / L(y \ x,y,K(x,x \ 1)) = K(x,x \ 1) * y. [para(1540(a,1),341(a,1,1))]. 1559 K(x,1 / x) != y | K(x,x \ 1) = y. [para(168(a,2),1554(a,1))]. 1560 (1 / (1 / (1 / x))) * x != y | K(x,x \ 1) = y. [para(955(a,2),1554(a,1))]. 1561 (K(x,x \ 1) * y) / (x * y) != z | R(1 / (1 / (1 / x)),x,y) = z. [para(1544(a,1),385(a,1,1,1))]. 1562 (x * K(y,y \ 1)) * y = (x * y) * K(y,y \ 1). [para(1535(a,2),1552(a,2,2))]. 1563 x \ ((y * x) * K(x,x \ 1)) = T(y * K(x,x \ 1),x). [hyper(147,a,1562,a,b,17,a),flip(a)]. 1564 (x * K(y,y \ 1)) \ ((x * y) * K(y,y \ 1)) = y. [hyper(80,a,1562,a)]. 1566 R(T(x,y * K(x,x \ 1)),y,K(x,x \ 1)) = T(x,y). [para(1564(a,1),832(a,1,1)),flip(a)]. 1567 T((x / y) * K(y,y \ 1),y) = y \ (x * K(y,y \ 1)). [para(19(a,1),1563(a,1,2,1)),flip(a)]. 1568 T((x / y) * y,T(x / y,y)) = T(x,x * (y \ 1)). [para(445(a,1),1520(a,2,2))]. 1569 T(x,T(x / y,y)) = T(x,x * (y \ 1)). [para(19(a,1),1568(a,1,1))]. 1570 T(x,x * (y \ 1)) = T(x,y \ x). [para(115(a,1),1569(a,1,2)),flip(a)]. 1571 x * (K(x,x \ 1) * (x \ y)) = (x * (1 / x)) * y. [para(1553(a,1),1445(a,1,2))]. 1572 K(x,x \ 1) * (x \ 1) = 1 / x. [hyper(20,a,15,a(flip),b,1571,a)]. 1573 x * (K(x,x \ 1) * (x \ y)) = K(x,x \ 1) * y. [para(1535(a,2),1571(a,2,1))]. 1574 (1 / x) / L(y,(x \ 1) / y,K(x,x \ 1)) = K(x,x \ 1) * ((x \ 1) / y). [para(1572(a,1),398(a,1,1))]. 1575 K(x,x \ 1) * (x * y) = x * (K(x,x \ 1) * y). [para(16(a,1),1573(a,1,2,2)),flip(a)]. 1576 (x \ 1) * (K(x \ 1,x) * ((x \ 1) \ y)) = K(x \ 1,(x \ 1) \ 1) * y. [para(1538(a,1),1573(a,1,2,1))]. 1577 K(x,x \ 1) * y != x * (K(x,x \ 1) * z) | x * z = y. [para(1575(a,1),22(a,1)),flip(a)]. 1578 (x / y) * T((x / y) \ 1,z) = (x * T(x \ y,z)) / y. [para(14(a,1),1458(a,1,1,2,1,2)),flip(a)]. 1579 (x / y) * T((x / y) \ z,x) = ((x \ (z * y)) * x) / y. [para(113(a,1),1458(a,1,1)),flip(a)]. 1580 ((x * y) / z) * T(((x * y) / z) \ x,u) = (x * (y * T(y \ z,u))) / z. [para(712(a,1),1458(a,1,1)),flip(a)]. 1581 ((x * T(y,z)) / T(y,z)) * T(((x * T(y,z)) / T(y,z)) \ (x * y),u) = ((x * T(y,z)) * T(y,u)) / T(y,z). [para(1479(a,1),1458(a,1,1,2,1)),flip(a)]. 1582 K(x \ (x / (y / z)),x) = (y * T(y \ z,x)) / z. [hyper(888,a,1578,a)]. 1583 K((x * (y / z)) \ x,x * (y / z)) = (y * T(y \ z,x * (y / z))) / z. [hyper(189,a,844,a,b,1578,a(flip)),flip(a)]. 1584 K(x \ (x / (y / z)),x) * z = y * T(y \ z,x). [para(1582(a,2),19(a,1,1))]. 1585 K(x \ (x / R(y,z,u)),x) = (((y * z) * u) * T(((y * z) * u) \ (z * u),x)) / (z * u). [para(33(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(1048(a,1),1582(a,2,1,2))]. 1587 K((x / y) \ 1,x / y) * y = x * T(x \ y,x / y). [para(64(a,1),1584(a,1,1,1,2))]. 1588 K((x / (y * x)) \ 1,x / (y * x)) * (y * x) = T(y,x / (y * x)) * x. [hyper(189,a,322,a(flip),b,1587,a)]. 1589 (x / y) * L(T(y,x),z,u) = (L(y,z,u) * x) / y. [para(500(a,1),1474(a,1,1)),flip(a)]. 1590 (L(x,y,z) * (u * x)) / x = u * L(T(x,u * x),y,z). [para(18(a,1),1589(a,1,1)),flip(a)]. 1591 T(x * L(T(y,x * y),z,u),y) = y \ (L(y,z,u) * (x * y)). [para(1590(a,1),115(a,1,1))]. 1592 T(x,y) * ((x * (T(x,y) \ 1)) / x) = T(x,T(x,y) \ 1) / x. [hyper(761,a,1475,a)]. 1593 (x * ((y * z) / y)) * z = (x * z) * ((y * z) / y). [para(16(a,1),1522(a,1,1,2)),flip(a)]. 1594 (1 / ((x * y) / x)) * y = y / ((x * y) / x). [hyper(423,a,1593,a),flip(a)]. 1595 ((x / y) * y) * ((x * y) / x) = T(x,x / (x / y)) * y. [para(1042(a,1),1593(a,1,1)),flip(a)]. 1596 T(x,x / (x / y)) * y = x * ((x * y) / x). [hyper(252,a,1595,a),flip(a)]. 1597 T(x,x / (x / y)) * (x \ y) = (x * y) / x. [hyper(980,a,1596,a)]. 1599 ((x * y) / x) / (x \ y) = T(x,x / (x / y)). [hyper(88,a,1597,a)]. 1601 T(x,x / (1 / (x \ y))) = T(x,x / (x / y)). [hyper(189,a,1428,a,b,1599,a(flip)),flip(a)]. 1602 T(x,x / (x / (x * y))) = T(x,x / (1 / y)). [para(16(a,1),1601(a,1,2,2,2)),flip(a)]. 1603 ((x / y) * (x / (x / y))) * y = x * (x / (x / y)). [hyper(411,a,1523,a),flip(a)]. 1604 (x * (y / (y / z))) * z = (x * z) * (y / (y / z)). [para(69(a,1),1523(a,1,1,2)),flip(a)]. 1606 (1 / (x / (x / y))) * y = y / (x / (x / y)). [hyper(423,a,1604,a),flip(a)]. 1607 x / (1 / (1 / x)) = K(x,x \ 1). [hyper(1560,a,1606,a),flip(a)]. 1608 x / (1 / (1 / x)) = K(x,1 / x). [hyper(189,a,1531,a,b,1607,a)]. 1609 K(x,x \ 1) * (1 / (1 / x)) = x. [para(1607(a,1),19(a,1,1))]. 1610 K(x,1 / x) * (1 / (1 / x)) = x. [para(1608(a,1),19(a,1,1))]. 1611 L(1 / (1 / x),K(x,x \ 1),y) = (y * K(x,x \ 1)) \ (y * x). [para(1609(a,1),31(a,2,2,2))]. 1612 x * L(y,1 / (1 / x),K(x,x \ 1)) = K(x,x \ 1) * ((1 / (1 / x)) * y). [para(1609(a,1),102(a,1,1))]. 1613 L(x,1 / x,x) = 1 / (1 / x). [hyper(466,a,1610,a)]. 1614 L(T(x,y),1 / x,x) = T(1 / (1 / x),y). [para(1613(a,1),43(a,2,1))]. 1615 K(x,1 / x) \ (x * (T(x,y) / x)) = T(1 / (1 / x),y). [hyper(189,a,808,a,b,1614,a(flip)),flip(a)]. 1616 K(x,1 / x) * T(1 / (1 / x),y) = x * (T(x,y) / x). [para(1615(a,1),17(a,1,2))]. 1617 K(x,x \ 1) * T(1 / (1 / x),y) = x * (T(x,y) / x). [para(1531(a,1),1616(a,1,1))]. 1618 T(x * L(T(y,x * y),z,u),y) = L(y,z,u) * (y \ (x * y)). [hyper(189,a,961,a(flip),b,1591,a)]. 1619 T(x,y) * ((T(x,y) \ x) / x) = T(x,T(x,y) \ 1) / x. [para(987(a,1),1592(a,1,2,1))]. 1620 x * (T(x,T(x,y) \ 1) / x) = T(x,x / (x * T(x,y))). [para(1592(a,1),1400(a,1,2))]. 1621 (T(x,T(x,y) \ 1) / x) * x = T(x,x / (x * T(x,y))). [para(1619(a,1),1365(a,1,1))]. 1622 T(x,x / (x * T(x,y))) = T(x,T(x,y) \ 1). [hyper(200,a,1621,a)]. 1624 x * (T(x,T(x,y) \ 1) / x) = T(x,T(x,y) \ 1). [hyper(189,a,1620,a,b,1622,a(flip)),flip(a)]. 1625 x * (T(x,y) * ((T(x,y) \ x) / x)) = T(x,T(x,y) \ 1). [para(1619(a,2),1624(a,1,2))]. 1626 T(x * L(T(y,x * y),z,u),y) = L(y,z,u) * T(x,y). [para(35(a,2),1618(a,2,2))]. 1627 (x \ y) * T((x \ y) \ 1,T(y,x)) = K(T(x / y,T(y,x)),T(y,x)). [para(1499(a,1),17(a,1,2))]. 1628 K(T(x / y,T(y,x)),T(y,x)) = x \ (y * T(y \ x,T(y,x))). [hyper(189,a,1071,a(flip),b,1627,a(flip))]. 1629 T(x,x \ 1) * y != x * (K(x,x \ 1) * z) | L(z,x,K(x,x \ 1)) = y. [para(1575(a,1),1556(a,2))]. 1630 (x \ 1) * (K(x \ 1,x) * ((x \ 1) \ y)) = K(x \ 1,x) * y. [para(1538(a,1),1576(a,2,1))]. 1631 (x \ 1) \ (K(x \ 1,x) * y) = K(x \ 1,x) * ((x \ 1) \ y). [hyper(80,a,1630,a)]. 1632 K(x \ (x / ((y \ x) / T(x,y))),x) = x / T(x,y). [para(17(a,1),1586(a,2,1))]. 1633 (x * y) * R((x * y) \ (z * y),u,w) = (R(z / x,u,w) * x) * y. [hyper(639,a,664,a),flip(a)]. 1634 (x * y) * R((x * y) \ (z * y),u,w) = (x * R(x \ z,u,w)) * y. [para(510(a,1),1633(a,2,1))]. 1635 ((x / y) * R((x / y) \ z,u,w)) * y = x * R(((x / y) * y) \ (z * y),u,w). [hyper(252,a,1634,a),flip(a)]. 1636 x * (y * R(y \ (x \ (z * y)),u,w)) = (x * R(x \ z,u,w)) * y. [hyper(189,a,810,a(flip),b,1634,a(flip)),flip(a)]. 1637 x * R(x \ (x \ (y * x)),z,u) = T(x * R(x \ y,z,u),x). [hyper(147,a,1634,a(flip),b,810,a(flip)),flip(a)]. 1638 (x \ (y * z)) * R((x \ (y * z)) \ z,u,w) = x \ ((y * R(y \ x,u,w)) * z). [hyper(75,a,1634,a(flip),b,934,a),flip(a)]. 1639 (x * y) * R((x * y) \ y,z,u) = (x * R(x \ 1,z,u)) * y. [para(14(a,1),1634(a,1,2,1,2))]. 1640 (x * R(x \ (x * y),z,u)) * y = (x * y) * R(y,z,u). [para(16(a,1),1634(a,1,2,1)),flip(a)]. 1643 (x * R(y,z,u)) * y = (x * y) * R(y,z,u). [para(16(a,1),1640(a,1,1,2,1))]. 1644 ((x / R(y,z,u)) * y) \ (x * y) = R(y,z,u). [hyper(430,a,1643,a)]. 1645 (x * R(y,z,u)) \ ((x * y) * R(y,z,u)) = y. [hyper(80,a,1643,a)]. 1646 (x * R(y,z,u)) / y = (x / y) * R(y,z,u). [hyper(76,a,90,a(flip),b,1643,a)]. 1647 ((x / y) * R(y,z,u)) \ (x * R(y,z,u)) = y. [hyper(75,a,90,a(flip),b,1643,a)]. 1648 (x * T(y,x)) * R(T(y,x),z,u) = (R(y,z,u) * x) * T(y,x). [para(160(a,1),1643(a,1,1)),flip(a)]. 1649 (x * y) / R(y,z,u) != w | (x / R(y,z,u)) * y = w. [para(1644(a,1),246(a,1,2)),flip(b)]. 1650 (x * T(x \ (x * y),z)) * R(y,u,w) = (x * R(y,u,w)) * T(y,z). [para(1645(a,1),1100(a,1,2,1)),flip(a)]. 1651 T(x * R(x \ y,z,u),x) = x * R(x \ T(y,x),z,u). [para(35(a,2),1637(a,1,2,1,2)),flip(a)]. 1652 T(x * R(x \ 1,y,z),x) = x * R(x \ 1,y,z). [para(191(a,1),1651(a,2,2,1,2))]. 1653 T(x,x * R(x \ 1,y,z)) = x. [hyper(38,a,1652,a)]. 1654 T(x * ((x * R(x \ 1,y,z)) / x),x) = x * ((x * R(x \ 1,y,z)) / x). [para(1652(a,1),1176(a,2,2,1))]. 1655 T(1 / x,(1 / x) * R(x,y,z)) = 1 / x. [para(69(a,1),1653(a,1,2,2,1))]. 1656 T(x,(y / (x * y)) * x) = x. [para(522(a,2),1653(a,1,2))]. 1657 T(x \ 1,R(x,y,z) * (x \ 1)) = x \ 1. [para(513(a,1),1653(a,1,2))]. 1658 T(x \ 1,x \ R(x,y,z)) = x \ 1. [para(865(a,1),1653(a,1,2))]. 1659 T(x,y / (x * y)) * T(y / (x * y),x) = T(x * (y / (x * y)),x). [para(1656(a,1),1014(a,1,1,1)),flip(a)]. 1660 T(T(x \ 1,y),x \ R(x,z,u)) = T(x \ 1,y). [para(1658(a,1),41(a,1,1)),flip(a)]. 1661 (R(x,y,z) * (1 / x)) / R(x,y,z) = L(1 / x,R(x,y,z),1 / x). [para(1655(a,1),561(a,1,1,2))]. 1662 R(x \ 1,R(x,y,z),x \ 1) = T(x \ 1,R(x,y,z)). [para(1657(a,1),615(a,1,1))]. 1663 x * ((x * y) * R((x * y) \ y,z,u)) = (x * R(x \ 1,z,u)) * (x * y). [hyper(189,a,809,a(flip),b,1639,a(flip)),flip(a)]. 1664 (R(x,y,z) * u) * T(x,u) = (x * u) * R(T(x,u),y,z). [para(113(a,1),1648(a,1,1)),flip(a)]. 1665 (x * T(y,z)) * R(y,u,w) = (x * R(y,u,w)) * T(y,z). [para(16(a,1),1650(a,1,1,2,1))]. 1666 (x * R(y,z,u)) * T(y,x) = (y * x) * R(y,z,u). [para(113(a,1),1665(a,1,1)),flip(a)]. 1667 R(x,y,R(x,z,u)) * (y * R(x,z,u)) = (y * R(x,z,u)) * T(x,y). [hyper(189,a,110,a,b,1666,a),flip(a)]. 1669 T(x,y / (x * y)) * R(x \ 1,x,y) = T(x * (y / (x * y)),x). [para(517(a,1),1659(a,1,2))]. 1670 T(L(1 / x,R(x,y,z),1 / x),x) = (x \ R(x,y,z)) / R(x,y,z). [para(1661(a,1),873(a,1,1))]. 1671 L(x \ 1,R(x,y,z),1 / x) = (x \ R(x,y,z)) / R(x,y,z). [hyper(674,a,1670,a)]. 1672 T(x * ((x * R(x \ 1,y,z)) / x),x) = x * R(1 / x,y,z). [para(516(a,1),1654(a,2,2))]. 1673 T(x * R(1 / x,y,z),x) = x * R(1 / x,y,z). [para(516(a,1),1672(a,1,1,2))]. 1674 T(x * (y / (x * y)),x) = x * R(1 / x,x,y). [para(141(a,1),1673(a,1,1,2))]. 1675 T(x * (y / (x * y)),x) = x * (y / (x * y)). [para(141(a,1),1674(a,2,2))]. 1676 T(x,x * (y / (x * y))) = x. [hyper(38,a,1675,a)]. 1677 T(x,y / (x * y)) * R(x \ 1,x,y) = x * (y / (x * y)). [hyper(189,a,1669,a,b,1675,a(flip)),flip(a)]. 1678 T(x,x * ((x \ y) / y)) = x. [para(17(a,1),1676(a,1,2,2,2))]. 1679 T(x / y,(x / y) * (y / x)) = x / y. [para(19(a,1),1676(a,1,2,2,2))]. 1680 T((x \ y) \ y,x * ((x \ z) / z)) = T(x,x \ y). [para(1678(a,1),221(a,1,1)),flip(a)]. 1681 T(x \ y,(y / x) * (x / y)) = T(y / x,x). [para(1679(a,1),161(a,1,1)),flip(a)]. 1682 T(x \ y,(y / x) * (x / y)) = x \ y. [hyper(189,a,115,a(flip),b,1681,a)]. 1683 K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)) = (y * (y \ x)) / x. [para(1682(a,1),1583(a,2,1,2))]. 1684 K((x * ((x \ y) / y)) \ x,x * ((x \ y) / y)) = ((x \ y) * T(x,x \ y)) / y. [para(1680(a,1),1583(a,2,1,2))]. 1685 (x * R(x \ 1,y,z)) * (x * u) = x * ((x * R(x \ 1,y,z)) * u). [para(1639(a,1),1663(a,1,2)),flip(a)]. 1686 (x \ 1) * (((x \ 1) * R((x \ 1) \ 1,y,z)) * u) = (x \ R(x,y,z)) * ((x \ 1) * u). [para(865(a,1),1685(a,1,1)),flip(a)]. 1687 K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)) = x / x. [para(17(a,1),1683(a,2,1))]. 1688 K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)) = 1. [hyper(189,a,64,a(flip),b,1687,a)]. 1690 R((x * (y * z)) / (x * y),u,w) = (x * (y * R(z,u,w))) / (x * y). [para(351(a,1),677(a,1,1)),flip(a)]. 1691 (T(x,y) * (1 / x)) / T(x,y) = L(1 / x,T(x,y),1 / x). [hyper(189,a,1141,a(flip),b,799,a(flip)),flip(a)]. 1693 T(L(1 / x,T(x,y),1 / x),x) = (T(x,y) * (x \ 1)) / T(x,y). [para(1691(a,1),546(a,1,1))]. 1694 (T(x,y) * (x \ 1)) / T(x,y) = L(x \ 1,T(x,y),1 / x). [hyper(674,a,1693,a),flip(a)]. 1695 x * L(x \ 1,T(x,y),1 / x) = K(T(x,y),1 / x). [para(1694(a,1),1322(a,1,2))]. 1696 x * T(T(x \ (y * x),z),u) = y * (T(T(y,z),u) * (y \ x)). [para(825(a,1),944(a,1,2))]. 1697 x * T(T(T(y,x),z),u) = y * (T(T(y,z),u) * (y \ x)). [para(35(a,2),1696(a,1,2,1,1))]. 1698 x * (T(T(x,y),z) * (x \ u)) = T(T(x,y),z) * u. [hyper(572,a,1697,a),flip(a)]. 1699 L(T(x,y),y,K(x \ 1,x)) != z | T(x,K(x \ 1,x) * y) = z. [para(1193(a,1),238(a,1))]. 1700 (L(x \ 1,x,y) * y) / L(x \ 1,x,y) = y * (x * T(x \ 1,y)). [hyper(189,a,350,a(flip),b,1470,a)]. 1701 x \ ((L(y \ 1,y,x) * x) / L(y \ 1,y,x)) = (x * (y * T(y \ 1,x))) * (x \ 1). [para(1700(a,1),1106(a,1,1)),flip(a)]. 1702 (x * (((T(y,x) \ y) * x) \ x)) \ (x * x) = (T(y,x) \ y) * x. [hyper(189,a,1299,a(flip),b,1506,a)]. 1703 (T(x,y) * (L(x,z,u) * y)) \ ((y * L(T(x,y),z,u)) * T(T(x,y),y)) = a(T(x,y),y,L(T(x,y),z,u)). [para(1270(a,2),499(a,1,2))]. 1704 a(x,y,z) = L(L(z,y,x) \ z,(x * y) \ (x * (y * z)),x * y). [para(31(a,2),581(a,2,1,1))]. 1705 (((x / y) * (1 / (x / y))) * y) / x = ((x / y) * (y / x)) / (x / y). [para(19(a,1),830(a,1,1,2,2)),flip(a)]. 1706 (K(x / y,(x / y) \ 1) * y) / x = ((x / y) * (y / x)) / (x / y). [para(1535(a,2),1705(a,1,1,1))]. 1707 (x \ 1) * ((x \ T(x,y)) * ((x \ 1) \ z)) = (x \ T(x,y)) * z. [para(770(a,1),1157(a,2,1))]. 1708 (x \ T(x,y)) * ((x \ 1) \ ((x \ 1) / (x \ T(x,y)))) = K(x \ T(x,y),(x \ 1) / (x \ T(x,y))). [hyper(20,a,214,a,b,1707,a)]. 1709 a(x,x \ y,T(z,x * (x \ y))) = (L(z,x \ y,x) * y) \ (z * y). [para(17(a,1),1220(a,1,2,2)),flip(a)]. 1710 (L(x,y \ z,y) * z) \ (x * z) = a(y,y \ z,T(x,z)). [para(17(a,1),1709(a,1,3,2)),flip(a)]. 1712 R((x \ 1) \ (x \ y),z,u) * (x \ 1) = x \ R(T(y,x \ 1),z,u). [para(17(a,1),1284(a,1,2,1)),flip(a)]. 1713 (x \ R(T(y,x \ 1),z,u)) / (x \ 1) = R((x \ 1) \ (x \ y),z,u). [hyper(88,a,1712,a)]. 1715 R((x \ 1) \ (x \ y),z,u) = (x \ 1) \ (x \ R(y,z,u)). [hyper(189,a,805,a(flip),b,1713,a(flip))]. 1716 x \ ((y * x) * R((y * x) \ x,z,u)) = T(y,x) * R(T(y,x) \ 1,z,u). [para(35(a,2),1317(a,2,2,1,1))]. 1717 x \ ((y * R(y \ 1,z,u)) * x) = T(y,x) * R(T(y,x) \ 1,z,u). [para(1639(a,1),1716(a,1,2))]. 1718 T(x,y) * R(T(x,y) \ 1,z,u) != w | T(x * R(x \ 1,z,u),y) = w. [para(1717(a,1),238(a,1))]. 1719 K(x,(y * x) \ y) * x = T(x,(y * x) \ y). [para(16(a,1),1448(a,1,1,1))]. 1720 T(x,(y * x) \ y) / x = K(x,(y * x) \ y). [hyper(88,a,1719,a)]. 1722 ((x / y) * R((x / y) \ z,u,w)) * y = x * R(x \ (z * y),u,w). [para(19(a,1),1635(a,2,2,1,1))]. 1723 (x * R(x \ (y * z),u,w)) / z = (x / z) * R((x / z) \ y,u,w). [hyper(88,a,1722,a)]. 1724 (x / y) * R((x / y) \ 1,z,u) = (x * R(x \ y,z,u)) / y. [para(14(a,1),1723(a,1,1,2,1,2)),flip(a)]. 1725 (((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(33(a,2),1724(a,1,1)),flip(a)]. 1726 (x \ ((y \ x) * z)) * R((x \ ((y \ x) * z)) \ z,u,w) = x \ ((R(y,u,w) * (y \ x)) * z). [para(513(a,1),1638(a,2,2,1))]. 1727 K((x * ((x \ y) / y)) \ x,x * ((x \ y) / y)) = y / y. [para(145(a,1),1684(a,2,1))]. 1728 K((x * ((x \ y) / y)) \ x,x * ((x \ y) / y)) = 1. [hyper(189,a,64,a(flip),b,1727,a)]. 1730 T(1 / ((x \ y) / y),x * ((x \ y) / y)) = 1 / ((x \ y) / y). [para(1728(a,1),845(a,1,1)),flip(a)]. 1731 (x * ((x \ y) / y)) \ x = 1 / ((x \ y) / y). [hyper(189,a,1394,a(flip),b,1730,a(flip)),flip(a)]. 1732 ((x / y) * (y / x)) \ (x / y) = 1 / (((x / y) \ x) / x). [para(69(a,1),1731(a,1,1,2,1))]. 1733 ((x / y) * (y / x)) \ (x / y) = 1 / (y / x). [para(69(a,1),1732(a,2,2,1))]. 1734 ((x / y) * (y / x)) * (1 / (y / x)) = x / y. [para(1733(a,1),17(a,1,2))]. 1736 K(1 / (x / y),(y / x) * (x / y)) = 1. [para(1733(a,1),1688(a,1,1))]. 1737 K(1 / x,(y / (x * y)) * ((x * y) / y)) = 1. [para(18(a,1),1736(a,1,1,2))]. 1738 ((x * y) / y) * (y / (x * y)) = x / (1 / (y / (x * y))). [hyper(76,a,18,a(flip),b,1734,a),flip(a)]. 1739 K(1 / x,(y / (x * y)) * x) = 1. [para(18(a,1),1737(a,1,2,2))]. 1740 T(1 / x,(y / (x * y)) * x) = 1 / x. [hyper(40,a,1739,a)]. 1741 L(x \ 1,x,y / (x * y)) = 1 / x. [hyper(1282,a,1740,a)]. 1742 L(x \ 1,x,R(1 / x,x,y)) = 1 / x. [para(141(a,2),1741(a,1,3))]. 1743 ((x / (y * x)) * y) * (1 / y) = x / (y * x). [para(1741(a,1),278(a,1,2))]. 1744 R(1 / x,x,y) / (1 / x) = R(1 / x,x,y) * x. [para(1742(a,1),283(a,1,2))]. 1745 R(x \ 1,x,y) \ (y / (x * y)) = K(x,x \ 1). [para(1743(a,1),1543(a,1,2))]. 1746 x / (y * x) = R(y \ 1,y,x) * K(y,y \ 1). [para(1745(a,1),17(a,1,2)),flip(a)]. 1747 T(1 / (1 / x),R(1 / x,x,y)) = x. [hyper(879,a,1744,a)]. 1748 T(1 / (1 / (x / y)),y / x) = x / y. [para(287(a,1),1747(a,1,2))]. 1749 T(x,R(1 / x,x,y)) = T(x,x \ 1). [para(1747(a,1),953(a,1,1)),flip(a)]. 1750 x * K(x,1 / x) = T(x,x \ 1). [hyper(189,a,1407,a(flip),b,1749,a(flip)),flip(a)]. 1751 T(x,y / (x * y)) = T(x,x \ 1). [para(141(a,1),1749(a,1,2))]. 1752 T(x,(x \ y) / y) = T(x,x \ 1). [para(286(a,1),1749(a,1,2))]. 1753 x \ ((x \ 1) \ 1) = K(x,1 / x). [hyper(75,a,114,a(flip),b,1750,a)]. 1754 x * K(x,x \ 1) = T(x,x \ 1). [para(1531(a,1),1750(a,1,2))]. 1755 T(x,y / (x * y)) = (x \ 1) \ 1. [hyper(189,a,114,a(flip),b,1751,a)]. 1756 K((x / (y * x)) \ 1,x / (y * x)) * (y * x) = T(y,y \ 1) * x. [para(1751(a,1),1588(a,2,1))]. 1757 ((x \ y) / y) * T(x,x \ 1) != z | x * ((x \ y) / y) = z. [para(1752(a,1),205(a,1,2))]. 1758 x \ (x \ ((x \ 1) \ 1)) = 1 / x. [hyper(75,a,1753,a,b,168,a(flip))]. 1759 x \ (T(x,y) \ ((x \ 1) \ 1)) = T(x,y) \ K(x,1 / x). [hyper(75,a,1753,a(flip),b,978,a),flip(a)]. 1760 x \ ((x \ 1) \ 1) != y | K(x,x \ 1) = y. [para(1753(a,2),1559(a,1))]. 1761 x * K(x,x \ 1) = (x \ 1) \ 1. [hyper(189,a,114,a(flip),b,1754,a)]. 1762 T(x,x \ 1) * L(y,K(x,x \ 1),x) = x * (K(x,x \ 1) * y). [para(1754(a,1),102(a,1,1))]. 1764 (T(x,x \ 1) * y) / (K(x,x \ 1) * y) != z | R(x,K(x,x \ 1),y) = z. [para(1754(a,1),385(a,1,1,1))]. 1765 T(x / y,y / x) = ((x / y) \ 1) \ 1. [para(19(a,1),1755(a,1,2,2))]. 1767 ((x / y) * (y / x)) / (x / y) = 1 / (1 / (y / x)). [para(1748(a,1),143(a,1,1,2))]. 1769 (x / y) * (((y / x) \ 1) \ 1) = (y / x) * (x / y). [para(1765(a,1),113(a,1,2))]. 1770 ((((x * y) / x) \ 1) \ 1) * x = x * T(y,x / (x * y)). [para(1765(a,1),325(a,1,1))]. 1771 x \ T(x,y / (x * y)) != z | K(x,x \ 1) = z. [para(1755(a,2),1760(a,1,2))]. 1772 x / (1 / (y / (x * y))) = x * (y / (x * y)). [para(18(a,1),1738(a,1,1)),flip(a)]. 1773 K(x \ (x * (y / (x * y))),x) = R(x \ 1,x,y) / (y / (x * y)). [para(1772(a,1),895(a,1,1,2))]. 1774 x \ (T(x,y) \ ((x \ 1) \ 1)) = x * (T(x,y) \ (1 / x)). [hyper(189,a,1009,a(flip),b,1759,a)]. 1775 T(x,((y * x) / y) \ 1) = T(x,y / (y * x)). [hyper(945,a,1770,a)]. 1776 ((x \ 1) \ 1) * (x \ (T(x,y) \ 1)) = x * (T(x,y) \ (1 / x)). [hyper(189,a,1307,a,b,1774,a(flip)),flip(a)]. 1777 L(x,K(y,y \ 1),y) = L(x,y,K(y,y \ 1)). [hyper(1629,a,1762,a),flip(a)]. 1778 R(x \ 1,x,y) / (y / (x * y)) = K(y / (x * y),x). [hyper(189,a,1215,a(flip),b,1773,a(flip))]. 1780 K(x / (y * x),y) * (x / (y * x)) != z | R(y \ 1,y,x) = z. [para(1778(a,1),200(a,1,1)),flip(b)]. 1782 R(x * y,z,K(y * z,R(x,y,z))) \ ((y * z) * R(x,y,z)) = z * K(y * z,R(x,y,z)). [hyper(726,a,110,a(flip))]. 1783 (x * y) * ((z * ((x * y) \ (u * y))) / z) = (((z * (u / x)) / z) * x) * y. [hyper(699,a,759,a),flip(a)]. 1784 (((x * ((y / z) / u)) / x) * u) * z = (u * z) * ((x * ((u * z) \ y)) / x). [para(19(a,1),1783(a,1,2,1,2,2)),flip(a)]. 1785 (x * y) * ((z * ((x * y) \ (u * y))) / z) = (x * ((z * (x \ u)) / z)) * y. [para(680(a,1),1783(a,2,1))]. 1786 (x * y) * ((x * ((x * y) \ z)) / x) = (x * ((z / y) / x)) * y. [hyper(252,a,1784,a),flip(a)]. 1787 (x * y) * ((x * ((x * y) \ z)) / x) != u | (x * ((z / y) / x)) * y = u. [para(1784(a,1),252(a,1))]. 1788 (x * ((x / y) / x)) * y = T(x,x / (x * y)). [hyper(1044,a,1786,a),flip(a)]. 1789 x * (y * ((x * (y \ (x \ z))) / x)) = (x * ((z / y) / x)) * y. [hyper(189,a,936,a(flip),b,1786,a(flip)),flip(a)]. 1790 x \ T(y,y / (y * x)) = T(y * ((y / x) / y),x). [hyper(147,a,1788,a,b,17,a),flip(a)]. 1792 (x * (R(y / z,z,y \ u) / x)) * (z * (y \ u)) = x * ((z * (y \ u)) * ((x * ((z * (y \ u)) \ (x \ u))) / x)). [para(390(a,2),1789(a,2,1,2,1)),flip(a)]. 1793 T(x,x / (x * y)) != z | (x * ((x / y) / x)) * y = z. [para(1039(a,1),1787(a,1))]. 1795 x * (y * ((z * (y \ (x \ (u * y)))) / z)) = (x * ((z * (x \ u)) / z)) * y. [hyper(189,a,936,a(flip),b,1785,a(flip)),flip(a)]. 1796 (x * y) * ((z * ((x * y) \ y)) / z) = (x * ((z * (x \ 1)) / z)) * y. [para(14(a,1),1785(a,1,2,1,2,2))]. 1797 (x * ((y * (x \ 1)) / y)) * x = x * (x * ((y * (x \ 1)) / y)). [hyper(189,a,1398,a(flip),b,1796,a(flip))]. 1798 x * ((x * y) * ((z * ((x * y) \ y)) / z)) = (x * ((z * (x \ 1)) / z)) * (x * y). [hyper(189,a,1397,a(flip),b,1796,a(flip)),flip(a)]. 1799 T(x * ((y * (x \ 1)) / y),z) = K(y,(y / T(x,z)) / y). [hyper(147,a,1796,a(flip),b,1416,a(flip))]. 1801 (x * ((y / (z * (x \ y))) / x)) * (z * (x \ y)) = x * ((z * ((x * (z \ 1)) / x)) * (x \ y)). [para(1796(a,1),1789(a,1,2)),flip(a)]. 1802 T(x,y) * ((z * (T(x,y) \ 1)) / z) = T(x * ((z * (x \ 1)) / z),y). [hyper(189,a,1319,a(flip),b,1799,a),flip(a)]. 1803 (1 / x) * ((1 / x) * ((y * ((1 / x) \ 1)) / y)) = (((y * x) / y) / x) * (1 / x). [para(1427(a,1),1797(a,1,1)),flip(a)]. 1804 T(x,y) * ((x * (T(x,y) \ 1)) / x) = T(x * (1 / x),y). [para(17(a,1),1802(a,2,1,2,1))]. 1805 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(326(a,2),1802(a,2,1,2,1)),flip(a)]. 1806 T(x,y) * ((T(x,y) \ x) / x) = T(x * (1 / x),y). [para(987(a,1),1804(a,1,2,1))]. 1807 T(x,y) * ((T(x,y) \ x) / x) = T(K(x,x \ 1),y). [para(1535(a,2),1806(a,2,1))]. 1808 x * T(K(x,x \ 1),y) = T(x,T(x,y) \ 1). [para(1807(a,1),1625(a,1,2))]. 1809 (x * ((y * (x \ z)) / y)) * y = x * (y * ((x \ (z * y)) / y)). [para(17(a,1),1795(a,1,2,2,1)),flip(a)]. 1810 ((x * y) * ((z * ((x * y) \ x)) / z)) * z = (x * y) * (z * (L(y \ z,y,x) / z)). [para(104(a,2),1809(a,2,2,2,1))]. 1811 (x * ((y * (x \ 1)) / y)) * (x * z) = x * ((x * ((y * (x \ 1)) / y)) * z). [para(1796(a,1),1798(a,1,2)),flip(a)]. 1812 K(x,(x / y) / x) * (y * z) = y * ((y * ((x * (y \ 1)) / x)) * z). [para(1319(a,2),1811(a,1,1))]. 1813 (((x * y) / x) / y) * (1 / y) = (1 / y) * (((x * y) / x) / y). [para(1427(a,1),1803(a,1,2)),flip(a)]. 1814 ((1 / x) * (((y * x) / y) / x)) / (1 / x) = ((y * x) / y) / x. [hyper(88,a,1813,a)]. 1815 R(((x * y) / x) / y,y,x) = ((1 / y) * ((x * y) / (y * x))) / (1 / y). [para(1814(a,1),696(a,1,1))]. 1816 ((1 / x) * ((y * x) / (x * y))) / (1 / x) = (y * x) / (x * y). [hyper(189,a,187,a(flip),b,1815,a(flip))]. 1817 T((x * y) / (y * x),y * x) = ((1 / y) * ((y * x) \ (x * y))) / (1 / y). [para(1816(a,1),546(a,1,1))]. 1818 ((1 / x) * ((x * y) \ (y * x))) / (1 / x) = (x * y) \ (y * x). [hyper(307,a,1817,a),flip(a)]. 1819 K(x,y) = ((1 / y) * ((y * x) \ (x * y))) / (1 / y). [hyper(189,a,29,a,b,1818,a),flip(a)]. 1820 ((1 / x) * K(y,x)) / (1 / x) = K(y,x). [para(29(a,2),1819(a,2,1,2)),flip(a)]. 1821 K(x,y) * (1 / y) = (1 / y) * K(x,y). [para(1820(a,1),19(a,1,1))]. 1822 (K(x,y) * (1 / y)) / K(x,y) = 1 / y. [para(1820(a,1),72(a,1,1,1))]. 1823 K(x \ 1,x) * (1 / x) = x \ 1. [hyper(189,a,1198,a(flip),b,1821,a)]. 1824 T(1 / x,K(y,x)) = 1 / x. [hyper(148,a,1821,a)]. 1825 K(1 / x,K(y,x)) = 1. [hyper(39,a,1824,a)]. 1826 K(x,K(y,x \ 1)) = 1. [para(67(a,1),1825(a,1,1))]. 1827 T(x,K(y,x \ 1)) = x. [hyper(40,a,1826,a)]. 1828 x * (1 / y) != y \ 1 | K(y \ 1,y) = x. [para(1823(a,1),23(a,1)),flip(a)]. 1829 (x \ 1) / (1 / x) != y | K(x \ 1,x) = y. [para(1823(a,1),248(a,1,1)),flip(b)]. 1830 (x \ 1) * L(y,1 / x,K(x \ 1,x)) = K(x \ 1,x) * ((1 / x) * y). [para(1823(a,1),102(a,1,1))]. 1831 R(x,K(y \ 1,y),1 / y) * (y \ 1) = (x * K(y \ 1,y)) * (1 / y). [para(1823(a,1),110(a,1,2))]. 1832 (x \ 1) \ (K(x \ 1,x) * y) != z | L((1 / x) \ y,1 / x,K(x \ 1,x)) = z. [para(1823(a,1),437(a,1,1))]. 1833 R(1 / x,y,z) \ (K(u,x) * R(1 / x,y,z)) = K(u,x). [para(1822(a,1),671(a,1,1,1))]. 1834 K(1 / x,1 / (1 / x)) != y | K(x \ 1,x) = y. [para(496(a,2),1829(a,1))]. 1835 K(1 / x,(1 / x) \ 1) = K(x \ 1,x). [hyper(1834,a,1531,a),flip(a)]. 1836 K(1 / x,x) = K(x \ 1,x). [para(69(a,1),1835(a,1,2))]. 1837 L(x,1 / y,K(1 / y,(1 / y) \ 1)) = L(x,K(y \ 1,y),1 / y). [para(1835(a,1),1777(a,1,2)),flip(a)]. 1838 K((x \ 1) \ 1,x \ 1) = K(x,x \ 1). [para(67(a,1),1836(a,1,1)),flip(a)]. 1839 T(K(x,y),R(1 / y,z,u)) = K(x,y). [hyper(238,a,1833,a)]. 1840 T(K(x,y),z / (y * z)) = K(x,y). [para(141(a,1),1839(a,1,2))]. 1841 T(K(x,y),y \ 1) = K(x,y). [para(446(a,1),1839(a,1,2))]. 1842 T(x \ 1,K(y,x)) = x \ 1. [hyper(38,a,1841,a)]. 1843 T((x \ 1) * T((x \ 1) \ 1,y),K(z,x)) = (x \ 1) * T(T(x \ 1,K(z,x)) \ 1,y). [para(1842(a,1),1373(a,1,1)),flip(a)]. 1844 K(x,y) * (z / (y * z)) = (z / (y * z)) * K(x,y). [para(1840(a,1),113(a,1,2)),flip(a)]. 1845 (x / (y * x)) * K(x / (y * x),y) = R(y \ 1,y,x). [hyper(1780,a,1844,a),flip(a)]. 1847 L(x \ L(y,1 / x,K(x \ 1,x)),x,x \ 1) = (1 / x) * y. [hyper(833,a,1830,a(flip))]. 1848 L((1 / x) \ y,1 / x,K(x \ 1,x)) = K(x \ 1,x) * ((x \ 1) \ y). [hyper(1832,a,1631,a)]. 1849 T(x * R(x \ 1,T(x,y),x \ 1),y) = ((x \ 1) / (x \ T(x,y))) * T(x,y). [hyper(1718,a,774,a)]. 1850 ((x \ 1) / (x \ T(x,y))) * T(x,y) = T(x * T(x \ 1,T(x,y)),y). [para(1144(a,1),1849(a,1,1,2)),flip(a)]. 1851 (x \ 1) / (x \ T(x,y)) = T(x,y) \ 1. [hyper(1377,a,1850,a(flip)),flip(a)]. 1852 T(T(x,y) \ 1,x \ T(x,y)) = (x \ T(x,y)) \ (x \ 1). [para(1851(a,1),115(a,1,1))]. 1853 K(x \ T(x,y),(x \ 1) / (x \ T(x,z))) = 1. [para(1851(a,2),1388(a,1,2))]. 1854 (x \ T(x,y)) \ (x \ 1) = T(x,y) \ 1. [hyper(189,a,1385,a(flip),b,1852,a(flip))]. 1856 R((1 / (x * y)) * x,y,y \ 1) = T((1 / (x * y)) * x,y). [hyper(189,a,728,a(flip),b,821,a(flip))]. 1857 a(1 / (x * y),x,y) \ T((1 / (x * y)) * x,y) = y \ 1. [para(1856(a,1),704(a,1,2))]. 1858 (x * y) * (z * T(z \ L(y \ z,y,x),u)) = (x * (y * T(y \ 1,u))) * z. [para(569(a,1),1161(a,1,1)),flip(a)]. 1859 (x \ 1) * (L(x \ 1,x,y) \ (x * ((y * x) \ y))) = K(x \ 1,x * ((y * x) \ y)). [hyper(189,a,963,a(flip),b,1276,a(flip)),flip(a)]. 1860 (L(x,1 / x,y) * y) / L(x,1 / x,y) = y * ((1 / x) * T(x,y)). [hyper(189,a,350,a(flip),b,1471,a)]. 1861 (L(x,1 / x,y) * y) / L(x,1 / x,y) = y * (T(x,y) / x). [para(793(a,1),1860(a,2,2))]. 1862 (x \ ((L(y,1 / y,x) * x) / L(y,1 / y,x))) / (x \ 1) = x * (T(y,x) / y). [hyper(189,a,1108,a,b,1861,a(flip)),flip(a)]. 1863 x * (((L(y,1 / y,x) * x) / L(y,1 / y,x)) \ z) = (x * (T(y,x) / y)) \ (x * z). [para(1861(a,1),1107(a,1,1)),flip(a)]. 1864 (x \ (x * (T(y,x) / y))) / (x \ 1) = x * (T(y,x) / y). [para(1861(a,1),1862(a,1,1,2))]. 1865 (T(x,y) / x) / (y \ 1) = y * (T(x,y) / x). [para(16(a,1),1864(a,1,1))]. 1867 T(T(x,y) * T(T(x,y) \ x,x),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). [para(1464(a,1),1509(a,1,1))]. 1868 T(L(x,T(x,y) \ x,T(x,y)),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). [para(1015(a,1),1867(a,1,1))]. 1869 T(L(x,T(x,y) \ x,T(x,y)),x * (T(x,y) \ x)) = L(x,T(x,y) \ x,x). [para(1505(a,1),1868(a,1,2))]. 1870 L(T(x,x * (T(x,y) \ x)),T(x,y) \ x,T(x,y)) = L(x,T(x,y) \ x,x). [hyper(189,a,43,a,b,1869,a(flip)),flip(a)]. 1871 L(x,T(x,y) \ x,T(x,y)) = L(x,T(x,y) \ x,x). [para(1502(a,1),1870(a,1,1))]. 1872 T(x,y) * T(T(x,y) \ x,x) = L(x,T(x,y) \ x,x). [hyper(189,a,1015,a,b,1871,a(flip)),flip(a)]. 1873 x * L(y,T(y,x) \ y,y) = (y * x) * T(K(x,y),y). [para(1871(a,1),1409(a,1,2))]. 1874 L(x,T(x,y) \ x,x) = (T(x,y) \ x) * T(x,y). [hyper(189,a,1510,a(flip),b,1872,a(flip))]. 1875 K(x \ 1,x * ((y * x) \ y)) = (x \ 1) * T(x,(y * x) \ y). [para(611(a,1),1859(a,1,2)),flip(a)]. 1876 (x * T(x \ y,x)) * (1 / x) = T(y * (1 / x),x). [para(63(a,1),1184(a,1,1)),flip(a)]. 1877 ((x \ y) * x) * (1 / x) = T(y * (1 / x),x). [para(113(a,1),1876(a,1,1))]. 1879 T((x * y) * (1 / x),x) = (y * x) * (1 / x). [para(16(a,1),1877(a,1,1,1)),flip(a)]. 1880 T(x * (1 / (y \ 1)),y \ 1) = (((y \ 1) \ x) * (y \ 1)) * y. [para(67(a,1),1877(a,1,2)),flip(a)]. 1881 x \ ((x \ 1) \ y) = (y * x) * (1 / x). [hyper(189,a,756,a(flip),b,1879,a(flip)),flip(a)]. 1882 T((x * y) * (1 / x),x) != z * (1 / x) | y * x = z. [para(1879(a,2),23(a,1))]. 1883 x * ((y * x) * (1 / x)) = (x \ 1) \ y. [para(1881(a,1),17(a,1,2))]. 1884 (x * x) * (1 / x) = x. [hyper(20,a,489,a(flip),b,1883,a)]. 1885 (x \ 1) \ (y / x) = x * (y * (1 / x)). [para(19(a,1),1883(a,1,2,1)),flip(a)]. 1886 (x \ 1) \ ((y * x) \ y) = x * ((y * x) \ y). [para(1439(a,1),1883(a,1,2)),flip(a)]. 1887 L(x \ 1,x,x) = 1 / x. [hyper(308,a,1884,a)]. 1888 (x * x) \ x = 1 / x. [hyper(80,a,1884,a)]. 1890 (x * (x * (x \ 1))) \ ((x * x) * ((1 / x) * y)) = L(y,L(x \ 1,x,x),x * x). [para(1887(a,1),347(a,1,2,2,1))]. 1891 L((1 / x) \ y,L(x \ 1,x,x),x * x) = (x * (x * (x \ 1))) \ ((x * x) * y). [para(1887(a,1),368(a,1,1,1))]. 1892 ((x \ 1) \ y) * (x \ 1) = x * (y * (1 / x)). [hyper(942,a,1885,a)]. 1893 (x \ 1) \ (y / x) != x * z | y * (1 / x) = z. [para(1885(a,2),22(a,1))]. 1894 (x \ 1) * (x * ((y * x) \ y)) = ((y * x) \ y) * 1. [para(1886(a,1),198(a,1,2))]. 1895 ((x \ 1) \ 1) * (y * (x \ 1)) = x * (y * (1 / x)). [hyper(189,a,486,a,b,1892,a(flip)),flip(a)]. 1897 (((x \ 1) \ y) * (x \ 1)) * x = T(y * x,x \ 1). [para(67(a,1),1880(a,1,1,2)),flip(a)]. 1898 T((x \ y) * x,x \ 1) = (x \ T(y,x \ 1)) * x. [para(783(a,1),1897(a,1,1)),flip(a)]. 1899 (x \ T(y / (x \ 1),x \ 1)) * x = T(T(y,x) / (x \ 1),x \ 1). [para(806(a,1),1898(a,1,1)),flip(a)]. 1900 T(T(x,y) / (y \ 1),y \ 1) = (y \ ((y \ 1) \ x)) * y. [para(115(a,1),1899(a,1,1,2)),flip(a)]. 1901 (x \ ((x \ 1) \ y)) * x = (x \ 1) \ T(y,x). [hyper(307,a,1900,a),flip(a)]. 1902 (x \ 1) \ T((x \ 1) * y,x) = (x \ y) * x. [para(16(a,1),1901(a,1,1,2)),flip(a)]. 1903 (x \ 1) * ((x \ y) * x) = T((x \ 1) * y,x). [para(1902(a,1),17(a,1,2))]. 1904 T((x \ 1) * (x * y),x) = (x \ 1) * (y * x). [para(16(a,1),1903(a,1,2,1)),flip(a)]. 1905 ((x \ 1) * y) \ T((x \ 1) * y,x) = L(K(x \ y,x),y,x \ 1). [para(1903(a,1),335(a,1,2))]. 1906 ((x \ 1) * (x * y)) * x = x * ((x \ 1) * (y * x)). [para(1904(a,1),113(a,1,2)),flip(a)]. 1907 ((x \ 1) * (x * y)) * x = L(y * x,x \ 1,x). [hyper(189,a,166,a(flip),b,1906,a)]. 1908 L(x * y,y \ 1,y) / y = (y \ 1) * (y * x). [hyper(76,a,166,a(flip),b,1906,a)]. 1909 (x \ 1) * (x * (y / x)) = L(y,x \ 1,x) / x. [para(19(a,1),1908(a,1,1,1)),flip(a)]. 1910 L(R(x,1 / y,y),y \ 1,y) / y = (y \ 1) * (y * (x * (1 / y))). [para(589(a,1),1908(a,1,1,1))]. 1911 (x \ 1) * (x * (y * (1 / x))) = L(y,x \ 1,x) * (1 / x). [hyper(189,a,595,a(flip),b,1910,a(flip))]. 1912 (x \ 1) * (x * (y * (1 / x))) != z * (1 / x) | L(y,x \ 1,x) = z. [para(1911(a,2),23(a,1))]. 1913 L(x,L(y \ 1,y,y),y * y) = y \ ((y * y) * ((1 / y) * x)). [para(62(a,1),1890(a,1,1)),flip(a)]. 1914 L(x,L(y \ 1,y,y),y * y) = y \ (y * ((y / y) * x)). [para(118(a,1),1913(a,2,2))]. 1915 L(x,L(y \ 1,y,y),y * y) = y \ (y * (1 * x)). [para(64(a,1),1914(a,2,2,2,1))]. 1916 L(x,L(y \ 1,y,y),y * y) = x. [hyper(74,a,1915,a,b,16,a(flip)),flip(a)]. 1918 x \ ((y * x) * L((y * x) \ z,u,w)) = T(y,x) * L(T(y,x) \ (x \ z),u,w). [para(35(a,2),1330(a,1,2,1,1)),flip(a)]. 1919 x \ (y * (x * L(x \ (y \ z),u,w))) = T(y,x) * L(T(y,x) \ (x \ z),u,w). [para(811(a,1),1918(a,1,2))]. 1920 T(x,y) * L(T(x,y) \ (y \ z),u,w) = T(x * L(x \ (z / y),u,w),y). [hyper(1336,a,1919,a),flip(a)]. 1921 T(x * L(x \ ((y * z) / y),u,w),y) = T(x,y) * L(T(x,y) \ z,u,w). [para(16(a,1),1920(a,1,2,1,2)),flip(a)]. 1922 T(x,y) * L(T(x,y) \ T(z,y),u,w) = T(x * L(x \ z,u,w),y). [para(143(a,1),1921(a,1,1,2,1,2)),flip(a)]. 1923 T(x,y) * L(T(x,y) \ 1,z,u) = T(x * L(x \ 1,z,u),y). [para(191(a,1),1922(a,1,2,1,2))]. 1924 T(x * L(x \ 1,y,z),u) != T(x,u) * w | L(T(x,u) \ 1,y,z) = w. [para(1923(a,1),22(a,1))]. 1925 T(x * L(x \ 1,T(x,y),z),y) = T(x,y) * ((z * T(x,y)) \ z). [para(140(a,1),1923(a,1,2)),flip(a)]. 1926 T(x \ y,z) * L(T(x \ y,z) \ 1,x \ y,x) = T((x \ y) * (y \ (x * 1)),z). [para(359(a,1),1923(a,2,1,2))]. 1927 T(x * L(x \ 1,T(x,y),1 / x),y) = T(x,y) * ((T(x,y) / x) \ (1 / x)). [para(793(a,1),1925(a,2,2,1))]. 1928 T(x,y) * ((T(x,y) / x) \ (1 / x)) = T(K(T(x,y),1 / x),y). [para(1695(a,1),1927(a,1,1)),flip(a)]. 1929 (x * (y * (1 / (1 / x)))) \ ((y * x) * (1 / (1 / x))) = K(y * L(x,x \ 1,x),x). [para(472(a,1),1363(a,1,2,2))]. 1930 L(L(x,y,y \ 1),K(y \ 1,y),1 / y) = (1 / y) * (y * x). [para(16(a,1),1371(a,2,2))]. 1932 (x \ L(x,y,z)) * ((x \ 1) * u) = (x \ 1) * ((x \ L(x,y,z)) * u). [para(854(a,1),1419(a,1,2,1)),flip(a)]. 1933 (x \ 1) * ((x \ L(x,y,z)) \ 1) = (x \ L(x,y,z)) \ (x \ 1). [hyper(75,a,62,a(flip),b,1932,a),flip(a)]. 1934 (x \ L(x,y,z)) \ (x \ 1) != (x \ 1) * u | (x \ L(x,y,z)) \ 1 = u. [para(1933(a,1),22(a,1))]. 1935 (T((x / (1 / y)) / y,z) * y) * (1 / y) = T(x / K(y,y \ 1),z) * K(y,y \ 1). [para(1535(a,2),1550(a,2,1,1,2))]. 1936 (x \ R(x,y,z)) * ((x \ 1) * u) = (x \ 1) * ((x \ R(x,y,z)) * u). [para(865(a,1),1686(a,1,2,1)),flip(a)]. 1937 (x \ 1) * ((x \ R(x,y,z)) \ 1) = (x \ R(x,y,z)) \ (x \ 1). [hyper(75,a,62,a(flip),b,1936,a),flip(a)]. 1938 (x * (y * T(y \ 1,x))) * (x \ 1) = x \ (x * (y * T(y \ 1,x))). [para(1700(a,1),1701(a,1,2)),flip(a)]. 1939 (x * (y * T(y \ 1,x))) \ (y * T(y \ 1,x)) = x \ 1. [hyper(75,a,16,a(flip),b,1938,a)]. 1941 (x * K(y,x)) \ (L(y \ 1,y,x) * T(L(y \ 1,y,x) \ 1,x)) = x \ 1. [para(906(a,2),1939(a,1,1,2))]. 1942 (x * K(y,x)) \ K(y,x) = x \ 1. [para(906(a,2),1941(a,1,2))]. 1943 (x * K(y,x)) * (x \ 1) = K(y,x). [para(1942(a,1),17(a,1,2))]. 1944 K(x,y) / (y \ 1) = y * K(x,y). [para(1942(a,1),67(a,1,2))]. 1945 K(x,y) * (z * T(z \ L((y \ 1) \ z,y \ 1,y * K(x,y)),u)) = ((y * K(x,y)) * ((y \ 1) * T((y \ 1) \ 1,u))) * z. [para(1943(a,1),1858(a,1,1))]. 1946 K(x,y) * T(K(x,y) \ (K(x,y) / (y \ 1)),z) = (y * K(x,y)) * ((y \ 1) * T((y \ 1) \ 1,z)). [para(1944(a,1),722(a,1,1)),flip(a)]. 1947 T((x \ 1) * T((x \ 1) \ 1,y),K(z,x)) = (x \ 1) * T((x \ 1) \ 1,y). [para(1842(a,1),1843(a,2,2,1,1))]. 1948 T((x \ 1) * T((x \ 1) \ 1,y),K(z,x)) = x \ T(x,y). [hyper(189,a,770,a(flip),b,1947,a)]. 1950 T(x \ T(x,y),K(z,x)) = x \ T(x,y). [para(770(a,1),1948(a,1,1))]. 1951 T(K(x,y),y \ T(y,z)) = K(x,y). [hyper(38,a,1950,a)]. 1952 T((x * y) \ (y * x),K(z,y)) = L(y \ T(y,x),y,x). [para(1950(a,1),585(a,1,1)),flip(a)]. 1953 K(K(x,y),y \ T(y,z)) = 1. [hyper(39,a,1951,a)]. 1954 K(K(x,y),y \ ((T(z,y) \ z) * y)) = 1. [para(1299(a,1),1953(a,1,2,2))]. 1955 K(K(x,y),T(T(z,y) \ z,y)) = 1. [para(35(a,2),1954(a,1,2))]. 1956 T((x * y) \ (y * x),K(z,y)) = K(y,x). [hyper(189,a,584,a,b,1952,a)]. 1957 T(K(x,y),K(z,x)) = K(x,y). [para(29(a,2),1956(a,1,1))]. 1958 T(K(x,y),K(y,z)) = K(x,y). [hyper(38,a,1957,a)]. 1959 K(x,y) * K(z,x) = K(z,x) * K(x,y). [para(1957(a,1),113(a,1,2)),flip(a)]. 1960 K(x,y) * K(y,z) != u | K(y,z) * K(x,y) = u. [para(1957(a,1),205(a,1,2))]. 1961 K(x,y) * L(K(y,z),u,w) != v5 | L(K(y,z),u,w) * K(x,y) = v5. [para(1957(a,1),303(a,1,2,1))]. 1962 K(x,y) * K(z,x) != u | K(z,x) * K(x,y) = u. [para(1958(a,1),205(a,1,2))]. 1963 L(K(x,y),z,u) * K(y,w) = K(y,w) * L(K(x,y),z,u). [para(1958(a,1),159(a,1,2,1)),flip(a)]. 1965 (x * (T(y,x) / y)) \ (x * z) = x * ((x * (T(y,x) / y)) \ z). [para(1861(a,1),1863(a,1,2,1)),flip(a)]. 1966 (T((x / (1 / y)) / y,z) * y) * (1 / y) != u | K(y,y \ 1) * T(K(y,y \ 1) \ x,z) = u. [para(1935(a,2),544(a,1))]. 1967 x \ ((x / T(y \ 1,y * y)) * ((((y \ 1) \ y) \ y) * z)) = L(z,((y \ 1) \ y) \ y,x / T(y \ 1,(y \ 1) \ y)). [para(489(a,1),536(a,1,2,1,2,2))]. 1968 (x * K(x,y)) * T((x * K(x,y)) \ (x * y),z) = (T(y,z) * x) * K(x,y). [hyper(189,a,380,a(flip),b,567,a)]. 1969 x * (K(x,y) * T(K(x,y) \ y,z)) = (T(y,z) * x) * K(x,y). [hyper(838,a,1968,a)]. 1970 (T(x,K(y,x)) * y) * K(y,x) = y * ((K(y,x) \ x) * K(y,x)). [para(113(a,1),1969(a,1,2)),flip(a)]. 1971 (x * y) * K(z \ (z / L(u,y,x)),z) = x * ((y * u) * T((y * u) \ y,z)). [hyper(838,a,1080,a),flip(a)]. 1972 (x * y) * K(z \ (z / L(u,y,x)),z) = x * (y * (u * T(u \ 1,z))). [para(569(a,1),1971(a,2,2))]. 1973 L(x * T(x \ 1,y),z,u) = K(y \ (y / L(x,z,u)),y). [hyper(346,a,1972,a)]. 1974 L(x * T(x \ 1,L(x,y,z)),y,z) = K(L(x,y,z) \ 1,L(x,y,z)). [para(64(a,1),1973(a,2,1,2))]. 1975 L(x \ T(x,y),z,u) = K(y \ (y / L(x \ 1,z,u)),y). [para(770(a,1),1973(a,1,1))]. 1976 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(18(a,1),1975(a,2,1,2))]. 1977 (L(x,y,z) * (1 / x)) / L(x,y,z) = L(1 / x,L(x,y,z),1 / x). [hyper(189,a,1347,a(flip),b,1263,a(flip)),flip(a)]. 1979 x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = L(1 / x,L(x,y,z),1 / x) * x. [para(1977(a,1),680(a,1,1)),flip(a)]. 1980 x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = x * L(x \ 1,L(x,y,z),1 / x). [hyper(189,a,502,a(flip),b,1979,a)]. 1981 x * L(x \ 1,L(x,y,z),1 / x) = K(L(x,y,z),1 / x). [hyper(189,a,1325,a(flip),b,1980,a(flip))]. 1982 K(x \ 1,x * ((y * x) \ y)) = 1. [hyper(1277,a,1894,a(flip))]. 1983 T(x,(y * x) \ y) = (x \ 1) \ 1. [hyper(75,a,1982,a(flip),b,1875,a(flip)),flip(a)]. 1984 T(x,(y * x) \ y) = T(x,x \ 1). [hyper(189,a,114,a,b,1983,a)]. 1985 K(x,(y * x) \ y) = ((x \ 1) \ 1) / x. [hyper(76,a,1983,a(flip),b,1719,a),flip(a)]. 1986 T(x \ y,y \ x) = ((x \ y) \ 1) \ 1. [para(17(a,1),1983(a,1,2,1))]. 1987 T(x,L(x \ 1,x,y)) = (x \ 1) \ 1. [para(140(a,2),1983(a,1,2))]. 1988 T(K(x,y),(x * y) \ (y * x)) = T(K(x,y),K(x,y) \ 1). [para(95(a,1),1984(a,1,2,1))]. 1989 T(x,L(x \ 1,x,y)) = T(x,x \ 1). [para(140(a,2),1984(a,1,2))]. 1990 K(x,(y * x) \ y) = K(x,x \ 1). [hyper(189,a,1533,a(flip),b,1985,a)]. 1992 K(x \ y,(x \ y) \ 1) = K(x \ y,y \ x). [para(17(a,1),1990(a,1,2,1)),flip(a)]. 1993 K(T(x,y),T(x,y) \ 1) = K(T(x,y),(x * y) \ y). [para(113(a,1),1990(a,1,2,1)),flip(a)]. 1994 K(x \ y,T(y,x) \ ((y * x) / y)) = K(x \ y,(x \ y) \ 1). [para(1027(a,2),1990(a,1,2,1))]. 1995 1 / T(x \ y,y \ x) = (x \ y) \ 1. [para(1986(a,2),67(a,1,2))]. 1996 T(x \ (x / y),y) = ((x \ (x / y)) \ 1) \ 1. [para(69(a,1),1986(a,1,2))]. 1997 (x \ y) * (((y \ x) \ 1) \ 1) != z | (y \ x) * (x \ y) = z. [para(1986(a,1),205(a,1,2))]. 1998 x * K((x \ y) \ 1,x \ y) = y * (((y \ x) \ 1) \ 1). [para(1986(a,1),1073(a,1,2)),flip(a)]. 1999 1 / T((x * y) \ x,y) = ((x * y) \ x) \ 1. [para(16(a,1),1995(a,1,2,2))]. 2000 (x \ y) * (1 / (x \ y)) = K(x \ y,y \ x). [hyper(1539,a,1992,a)]. 2001 T(K(x,y),K(x,y) \ 1) = T(K(x,y),K(y,x)). [para(29(a,2),1988(a,1,2)),flip(a)]. 2002 T(K(x,y),K(y,x)) != z | (K(x,y) \ 1) \ 1 = z. [para(2001(a,1),315(a,1))]. 2003 (K(x,y) \ 1) \ 1 = K(x,y). [hyper(2002,a,1958,a)]. 2004 1 / K(x,y) = K(x,y) \ 1. [para(2003(a,1),67(a,1,2))]. 2005 1 / (1 / K(x,y)) = K(x,y). [para(2003(a,1),130(a,1,2,2))]. 2006 K(x,y) \ 1 != z | 1 / K(x,y) = z. [para(2005(a,1),236(a,1,1)),flip(b)]. 2007 K(x \ y,T(x / y,T(y,x))) = K(x \ y,(x \ y) \ 1). [para(1465(a,1),1994(a,1,2))]. 2008 K(x \ y,T(x / y,T(y,x))) = K(x \ y,y \ x). [hyper(189,a,1992,a(flip),b,2007,a)]. 2009 K(x \ (x / R(y,z,u)),x) = (((y * z) * T((y * z) \ z,x)) * u) / (z * u). [para(1100(a,1),1585(a,2,1))]. 2010 K(x \ (x / R(y,z,u)),x) = (((y * T(y \ 1,x)) * z) * u) / (z * u). [para(1119(a,1),2009(a,2,1,1))]. 2011 R(x * T(x \ 1,y),z,u) = K(y \ (y / R(x,z,u)),y). [hyper(189,a,33,a,b,2010,a),flip(a)]. 2012 K(x \ (x / R(y,z,u)),x) != w | R(y * T(y \ 1,x),z,u) = w. [para(2010(a,2),385(a,1))]. 2013 R(x,y,z) * T(R(x,y,z) \ 1,u) = R(x * T(x \ 1,u),y,z). [hyper(189,a,886,a(flip),b,2011,a),flip(a)]. 2014 R(x * T(x \ 1,R(x,y,z)),y,z) = K(R(x,y,z) \ 1,R(x,y,z)). [para(64(a,1),2011(a,2,1,2))]. 2015 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(870(a,1),2011(a,2,1,2))]. 2016 K(R(x,y,z) \ 1,R(x,y,z)) * (y * z) = ((x * T(x \ 1,R(x,y,z))) * y) * z. [para(2014(a,1),110(a,1,1))]. 2017 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(1230(a,1),882(a,1,1))]. 2018 K(T(x,R(x \ 1,y,z)),R(x \ 1,y,z)) = x \ T(x,R(x \ 1,y,z)). [para(35(a,2),898(a,1,1))]. 2019 K(x \ 1,x) * R(K(x \ 1,x) \ y,z,u) = (x \ 1) * (x * R(x \ ((x \ 1) \ y),z,u)). [para(165(a,2),1245(a,1,2,1,1))]. 2020 K(x \ y,x) * R((y \ ((x \ y) * x)) \ x,z,u) = y \ ((R(x,z,u) * (x \ y)) * x). [para(96(a,1),1726(a,1,1))]. 2021 K(x \ y,x) * R(K(x \ y,x) \ x,z,u) = y \ ((R(x,z,u) * (x \ y)) * x). [para(96(a,1),2020(a,1,2,1,1))]. 2022 K(x \ 1,x) * R(K(x \ 1,x) \ (y * x),z,u) = ((x \ 1) * R((x \ 1) \ y,z,u)) * x. [hyper(189,a,1636,a(flip),b,2019,a)]. 2023 K(x \ 1,x) * R(K(x \ 1,x) \ (y * x),z,u) = (x \ R(x * y,z,u)) * x. [para(823(a,1),2022(a,2,1))]. 2024 (x * K(x,y)) * R((x * K(x,y)) \ (x * y),z,u) = (R(y,z,u) * x) * K(x,y). [hyper(189,a,382,a(flip),b,666,a)]. 2025 x * (K(x,y) * R(K(x,y) \ y,z,u)) = (R(y,z,u) * x) * K(x,y). [hyper(948,a,2024,a)]. 2026 x * (K(x,y) * R(K(x,y) \ y,y \ 1,y)) = (T(y,y \ 1) * x) * K(x,y). [para(1135(a,1),2025(a,2,1,1))]. 2027 T(1 / (1 / R(1 / x,x,y)),x * y) = T(1 / (1 / (y / (x * y))),x * y). [hyper(189,a,803,a(flip),b,958,a(flip))]. 2028 K(x,x \ 1) * T(K(x,x \ 1) \ y,z) = x * ((1 / x) * T((1 / x) \ (x \ y),z)). [hyper(1966,a,1163,a)]. 2029 K(x,x \ 1) * T(K(x,x \ 1) \ y,z) = x * (T((x \ y) * x,z) / x). [para(778(a,1),2028(a,2,2))]. 2030 K(x,x \ 1) * T(K(x,x \ 1) \ y,x) = T(y,x). [hyper(189,a,1174,a(flip),b,2029,a)]. 2031 T(x * K(y,y \ 1),y) = T(x,y) * K(y,y \ 1). [hyper(571,a,2030,a),flip(a)]. 2032 T((1 / K(x,x \ 1)) * y,x) = (1 / K(x,x \ 1)) * T(y,x). [hyper(807,a,2031,a),flip(a)]. 2033 T((x / y) * K(y,y \ 1),y) = (y \ x) * K(y,y \ 1). [para(115(a,1),2031(a,2,1))]. 2034 x \ (y * K(x,x \ 1)) = (x \ y) * K(x,x \ 1). [hyper(189,a,1567,a(flip),b,2033,a(flip)),flip(a)]. 2035 x * ((x \ y) * K(x,x \ 1)) = y * K(x,x \ 1). [para(2034(a,1),17(a,1,2))]. 2036 (x * y) * K(x,x \ 1) = x * (y * K(x,x \ 1)). [para(16(a,1),2035(a,1,2,1)),flip(a)]. 2037 R(x,y,K(x,x \ 1)) = x. [hyper(376,a,2036,a)]. 2038 L(K(x,x \ 1),y,x) = K(x,x \ 1). [hyper(346,a,2036,a)]. 2039 R(T(x,y),z,K(x,x \ 1)) = T(x,y). [para(2037(a,1),45(a,2,1))]. 2040 (x * y) / K(x,x \ 1) = x * (y / K(x,x \ 1)). [para(2038(a,1),398(a,1,2))]. 2041 T(x,y * K(x,x \ 1)) = T(x,y). [hyper(189,a,1566,a(flip),b,2039,a(flip))]. 2043 T(x \ 1,y * K(x \ 1,x)) = T(x \ 1,y). [para(1538(a,1),2041(a,1,2,2))]. 2044 T(x,R(x \ 1,x,y)) = T(x,y / (x * y)). [para(1746(a,2),2041(a,1,2)),flip(a)]. 2045 (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(2044(a,1),152(a,1,2,1))]. 2046 K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)) = x \ T(x,y / (x * y)). [para(2044(a,1),2018(a,2,2))]. 2047 T(x \ 1,T(x,x \ 1)) = T(x \ 1,x). [para(1143(a,1),2043(a,1,2)),flip(a)]. 2048 T(x \ T(x,y),T(x,x \ 1)) = K(y \ (y / T(x \ 1,x)),y). [para(2047(a,1),1378(a,2,1,2,2))]. 2049 (1 / K(x,x \ 1)) * T(y,x) = T(K(x \ 1,x) * y,x). [para(339(a,1),2032(a,1,1,1)),flip(a)]. 2050 T(K(x \ 1,x) * y,x) = K(x \ 1,x) * T(y,x). [para(339(a,1),2049(a,1,1)),flip(a)]. 2051 x * T(K(x \ 1,x) * y,x) = K(x \ 1,x) * (y * x). [para(2050(a,2),1192(a,1,2))]. 2052 (K(x \ 1,x) * y) * x = K(x \ 1,x) * (y * x). [hyper(205,a,2051,a)]. 2053 L(x,y,K(x \ 1,x)) = x. [hyper(346,a,2052,a)]. 2054 L(T(x,y),z,K(x \ 1,x)) = T(x,y). [para(2053(a,1),43(a,2,1))]. 2055 T(x,K(x \ 1,x) * y) = T(x,y). [hyper(1699,a,2054,a)]. 2056 T(x,L(x \ y,x,x \ 1)) = T(x,(x \ 1) * y). [para(813(a,1),2055(a,1,2)),flip(a)]. 2057 T(x \ T(x,y),T(x,x \ 1)) = T(x \ T(x,y),x). [hyper(189,a,1378,a,b,2048,a)]. 2058 T((x * y) \ (y * x),T(y,y \ 1)) = L(T(y \ T(y,x),y),y,x). [para(2057(a,1),585(a,1,1)),flip(a)]. 2059 T((x * y) \ (y * x),T(y,y \ 1)) = T((x * y) \ (y * x),y). [hyper(189,a,585,a(flip),b,2058,a)]. 2060 T((x * y) \ (y * x),T(y,y \ 1)) = T(K(y,x),y). [para(29(a,2),2059(a,2,1))]. 2061 T(K(x,y),T(x,x \ 1)) = T(K(x,y),x). [para(29(a,2),2060(a,1,1))]. 2062 K(x \ T(x,y),(x \ 1) / (x \ T(x,y))) = (x \ T(x,y)) * ((x \ 1) \ (T(x,y) \ 1)). [para(1851(a,1),1708(a,1,2,2)),flip(a)]. 2063 (x \ T(x,y)) * ((x \ 1) \ (T(x,y) \ 1)) = 1. [hyper(189,a,1853,a(flip),b,2062,a(flip))]. 2064 (x \ 1) \ (T(x,y) \ 1) = (x \ T(x,y)) \ 1. [hyper(75,a,1853,a(flip),b,2062,a(flip)),flip(a)]. 2066 (x \ T(x,y)) \ 1 != z | (x \ 1) \ (T(x,y) \ 1) = z. [para(2063(a,1),237(a,1,2)),flip(b)]. 2067 K(x,y) * T(K(x,y) \ (K(x,y) / (y \ 1)),z) = (y * K(x,y)) * (y \ T(y,z)). [para(770(a,1),1946(a,2,2))]. 2068 K(x,y) * T(K(x,y) \ (y * K(x,y)),z) = (y * K(x,y)) * (y \ T(y,z)). [para(1944(a,1),2067(a,1,2,1,2))]. 2069 K(x,y) * T(T(y,K(x,y)),z) = (y * K(x,y)) * (y \ T(y,z)). [para(35(a,2),2068(a,1,2,1))]. 2070 K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)) = L(x \ x,y,z). [para(1339(a,1),1976(a,1,1,2)),flip(a)]. 2071 K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)) = L(1,y,z). [para(59(a,1),2070(a,2,1))]. 2072 K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)) = 1. [hyper(189,a,265,a(flip),b,2071,a)]. 2075 ((x * L(x \ 1,y,z)) \ x) * (x * L(x \ 1,y,z)) = x * 1. [para(2072(a,1),213(a,1,2)),flip(a)]. 2076 ((x * L(x \ 1,y,z)) \ x) * (x * L(x \ 1,y,z)) = x. [hyper(189,a,15,a(flip),b,2075,a)]. 2077 x * (y * L(y \ 1,z,u)) != y | (y * L(y \ 1,z,u)) \ y = x. [para(2076(a,1),23(a,1)),flip(a)]. 2078 (((x * y) \ x) \ K(y,x)) / (L(y \ 1,y,x) \ 1) = K(y,x). [hyper(189,a,906,a,b,907,a)]. 2079 (((x * y) \ x) \ K(y,x)) / (((x * y) \ x) \ 1) = K(y,x). [para(140(a,1),2078(a,1,2,1))]. 2080 T(K(x,y),((y * x) \ y) \ 1) != z | (((y * x) \ y) \ 1) \ (((y * x) \ y) \ K(x,y)) = z. [para(2079(a,1),307(a,1,1))]. 2081 R(L(x / (y \ 1),z,u),y \ 1,(y \ 1) \ 1) = (y \ L(y * x,z,u)) * T(y,y \ 1). [para(817(a,1),919(a,1,1)),flip(a)]. 2082 (x \ L(x * y,z,u)) * T(x,x \ 1) = L(y * ((x \ 1) \ 1),z,u). [hyper(189,a,463,a(flip),b,2081,a(flip))]. 2083 (T(x,y) * (L(x,z,u) * y)) \ ((L(x,z,u) * y) * T(T(x,y),y)) = a(T(x,y),y,L(T(x,y),z,u)). [para(159(a,1),1703(a,1,2,1))]. 2084 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(1018(a,1),1805(a,2,2,1))]. 2085 T(x,y) * ((T(x,y) \ T(x,z)) / T(x,z)) = T(K(T(x,z),1 / x),y). [para(1326(a,1),2084(a,1,1)),flip(a)]. 2086 K(T(x,y),1 / T(x,z)) = T(K(T(x,y),1 / x),z). [hyper(189,a,1417,a(flip),b,2085,a(flip)),flip(a)]. 2087 T(K(T(x,y),1 / x),y) != z | K(T(x,y),T(x,y) \ 1) = z. [para(2086(a,1),1559(a,1))]. 2088 T(x,y) * ((T(x,y) / x) \ (1 / x)) = K(T(x,y),T(x,y) \ 1). [hyper(2087,a,1928,a(flip)),flip(a)]. 2089 (T(x,y) / x) \ (1 / x) = 1 / T(x,y). [hyper(20,a,1535,a(flip),b,2088,a)]. 2090 (T(T(x,x \ 1),y) / T(x,x \ 1)) \ (x \ 1) = 1 / T(T(x,x \ 1),y). [para(174(a,1),2089(a,1,2))]. 2091 (x \ T(x,y)) \ (x \ 1) = 1 / T(T(x,x \ 1),y). [para(1528(a,1),2090(a,1,1))]. 2092 1 / T(T(x,x \ 1),y) = T(x,y) \ 1. [hyper(189,a,1854,a(flip),b,2091,a(flip))]. 2093 T(T(x,x \ 1),y) = (T(x,y) \ 1) \ 1. [para(2092(a,1),69(a,1,1)),flip(a)]. 2094 T(1 / (1 / x),y) \ 1 = 1 / T(x,y). [para(228(a,1),2092(a,1,2,1)),flip(a)]. 2095 (T(x,y) \ 1) \ 1 = T((x \ 1) \ 1,y). [hyper(189,a,525,a(flip),b,2093,a(flip))]. 2096 (T(1 / x,y) \ 1) \ 1 = T(x \ 1,y). [para(497(a,1),2093(a,1,1)),flip(a)]. 2097 1 / (1 / T(x,y)) = T(1 / (1 / x),y). [para(2094(a,1),67(a,1,2))]. 2098 T(((x / y) \ 1) \ 1,y) = ((y \ x) \ 1) \ 1. [para(115(a,1),2095(a,1,1,1)),flip(a)]. 2099 T(x,y) * K(T(x,y) \ 1,T(x,y)) = T(1 / (1 / x),y). [hyper(189,a,474,a,b,2097,a(flip)),flip(a)]. 2100 T(1 / (1 / (x / y)),y) = 1 / (1 / (y \ x)). [para(115(a,1),2097(a,1,2,2)),flip(a)]. 2101 ((x * T(1 / (1 / y),x)) / x) \ (y / T(y,x)) = 1 / T(y,x). [para(2097(a,1),1292(a,1,1,1,2))]. 2102 T(x,((y * x) / y) \ 1) = ((y \ (y * x)) \ 1) \ 1. [hyper(608,a,2098,a)]. 2103 (((x / y) \ 1) \ 1) * y = y * (((y \ x) \ 1) \ 1). [para(2098(a,1),113(a,1,2)),flip(a)]. 2104 (x * (((x \ y) \ 1) \ 1)) / x = ((y / x) \ 1) \ 1. [para(2098(a,1),143(a,1,1,2))]. 2105 (1 / (1 / (x / y))) * y = y * (1 / (1 / (y \ x))). [para(2100(a,1),113(a,1,2)),flip(a)]. 2106 (x * (1 / (1 / (x \ y)))) / x = 1 / (1 / (y / x)). [para(2100(a,1),143(a,1,1,2))]. 2107 T(x,((y * x) / y) \ 1) = (x \ 1) \ 1. [para(16(a,1),2102(a,2,1,1))]. 2108 T(x,y / (y * x)) = (x \ 1) \ 1. [hyper(189,a,1775,a(flip),b,2107,a(flip)),flip(a)]. 2110 T(x,y / (y * x)) = T(x,x \ 1). [hyper(189,a,114,a,b,2108,a)]. 2111 T(x \ y,x / y) = ((x \ y) \ 1) \ 1. [para(17(a,1),2108(a,1,2,2))]. 2112 (x / (x * y)) * T(y,y \ 1) = y * (x / (x * y)). [para(2110(a,1),113(a,1,2))]. 2113 T(x \ (y \ x),y) = ((x \ (y \ x)) \ 1) \ 1. [para(67(a,1),2111(a,1,2))]. 2114 1 / T(x \ (y \ x),y) = (x \ (y \ x)) \ 1. [para(2113(a,2),67(a,1,2))]. 2115 ((R(x / y,y,z) \ 1) \ 1) * (y * z) = (y * z) * ((((y * z) \ (x * z)) \ 1) \ 1). [para(111(a,2),2103(a,1,1,1,1))]. 2116 (x * ((y \ 1) \ 1)) / x = (((x * y) / x) \ 1) \ 1. [para(16(a,1),2104(a,1,1,2,1,1))]. 2118 T(1 / (1 / (x / y)),y) != z | 1 / (1 / (y \ x)) = z. [para(2106(a,1),242(a,1,1)),flip(b)]. 2119 (1 / (1 / x)) \ (x / T(x,y)) = 1 / T(x,y). [para(143(a,1),2101(a,1,1))]. 2121 L(1 / x,K(x \ 1,x),y) * (y * K(x \ 1,x)) = y * ((x \ 1) * (x * T(x \ 1,y))). [para(2043(a,1),1451(a,1,2,2,2)),flip(a)]. 2122 x * T(((x * T(y,z)) / T(y,z)) \ (x * y),u) = ((x * T(y,z)) * T(y,u)) / T(y,z). [para(18(a,1),1581(a,1,1))]. 2123 ((x * T(y,z)) * T(y,u)) / T(y,z) = x * T(x \ (x * y),u). [para(18(a,1),2122(a,1,2,1,1)),flip(a)]. 2124 ((x * T(y,z)) * T(y,u)) / T(y,z) = x * T(y,u). [para(16(a,1),2123(a,2,2,1))]. 2125 (x * T(y,z)) / T(y,u) = (x / T(y,u)) * T(y,z). [para(19(a,1),2124(a,1,1,1))]. 2126 (x * R(x \ 1,x,y)) \ (x * (y / (x * y))) = K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)). [para(1677(a,1),2045(a,1,2))]. 2127 K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)) = K(x,y / (x * y)). [hyper(607,a,2126,a),flip(a)]. 2128 x \ T(x,y / (x * y)) = K(x,y / (x * y)). [hyper(189,a,2046,a(flip),b,2127,a(flip)),flip(a)]. 2129 K(x,y / (x * y)) = K(x,x \ 1). [hyper(1771,a,2128,a),flip(a)]. 2130 K(x,y / (x * y)) != z | K(x,x \ 1) = z. [para(2128(a,1),1771(a,1))]. 2131 K(x / y,(x / y) \ 1) = K(x / y,y / x). [para(19(a,1),2129(a,1,2,2)),flip(a)]. 2132 K(x / y,y / x) != z | K(x / y,(x / y) \ 1) = z. [para(19(a,1),2130(a,1,2,2))]. 2133 (K(x / y,y / x) * y) / x = ((x / y) * (y / x)) / (x / y). [para(2131(a,1),1706(a,1,1,1))]. 2134 K(x / (y * x),y) != z | K(x / (y * x),(x / (y * x)) \ 1) = z. [para(18(a,1),2132(a,1,2))]. 2135 (K(x / y,y / x) * y) / x = 1 / (1 / (y / x)). [hyper(189,a,1767,a(flip),b,2133,a)]. 2136 (K((x * y) / y,y / (x * y)) * y) / (x * y) = 1 / (1 / R(1 / x,x,y)). [para(141(a,2),2135(a,2,2,2))]. 2137 (x * (R(y / z,z,y \ u) / x)) * (z * (y \ u)) = (x * ((u / (z * (y \ u))) / x)) * (z * (y \ u)). [hyper(189,a,1789,a(flip),b,1792,a)]. 2138 ((x \ T(x,y)) * x) * L(z,(x \ 1) * x,T(T(x,x \ 1),y)) = R(T(x,y),x \ 1,x) * (((x \ 1) * x) * z). [para(773(a,1),1358(a,1,1,1))]. 2139 ((x \ T(x,y)) * x) * L(z,K(x \ 1,x),T(T(x,x \ 1),y)) = R(T(x,y),x \ 1,x) * (((x \ 1) * x) * z). [para(165(a,2),2138(a,1,2,2))]. 2140 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(632(a,1),2015(a,1,1,2,1))]. 2141 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(1660(a,1),2140(a,1,1,2)),flip(a)]. 2143 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((x * ((z * u) / ((y * z) * u))) / x) * ((y * z) * u). [para(110(a,1),1281(a,1,1,1,2,2)),flip(a)]. 2144 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((y * z) * u) * ((x * (((y * z) * u) \ (z * u))) / x). [hyper(189,a,680,a(flip),b,2143,a)]. 2145 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((y * z) * ((x * ((y * z) \ z)) / x)) * u. [hyper(189,a,1785,a(flip),b,2144,a)]. 2146 (R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u)) * (y * z) = ((x * y) * ((u * ((x * y) \ y)) / u)) * z. [para(680(a,1),2145(a,1,1))]. 2147 (R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u)) * (y * z) = ((x * ((u * (x \ 1)) / u)) * y) * z. [para(1796(a,1),2146(a,2,1))]. 2148 R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u) = R(x * ((u * (x \ 1)) / u),y,z). [hyper(21,a,110,a,b,2147,a)]. 2149 R(x * ((y * (x \ 1)) / y),z,u) = K(y,(y / R(x,z,u)) / y). [hyper(1320,a,2148,a),flip(a)]. 2150 R(x * ((R(x,y,z) * (x \ 1)) / R(x,y,z)),y,z) = R(x,y,z) * (1 / R(x,y,z)). [para(17(a,1),2148(a,1,2,1)),flip(a)]. 2151 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(189,a,1535,a,b,2150,a)]. 2152 R(x * ((x \ R(x,y,z)) / R(x,y,z)),y,z) = K(R(x,y,z),R(x,y,z) \ 1). [para(867(a,1),2151(a,1,1,2,1))]. 2153 (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(31(a,2),1314(a,2,2,1,1))]. 2154 (x * y) \ (x * ((y * z) * L((y * z) \ (x \ (x * y)),u,w))) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). [para(811(a,1),2153(a,1,2))]. 2155 (x * y) \ (x * ((y * z) * L((y * z) \ y,u,w))) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). [para(16(a,1),2154(a,1,2,2,2,1,2))]. 2156 (x * y) \ (x * (y * (z * L(z \ 1,u,w)))) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). [para(709(a,1),2155(a,1,2,2))]. 2157 L(x,y,z) * L(L(x,y,z) \ 1,u,w) = L(x * L(x \ 1,u,w),y,z). [hyper(355,a,2156,a),flip(a)]. 2158 L(x,y,z) * L(L(x,y,z) \ 1,(x \ 1) \ 1,x \ 1) = L(x * (1 / (1 / (x \ 1))),y,z). [para(472(a,1),2157(a,2,1,2))]. 2159 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(1262(a,1),2157(a,1,2))]. 2160 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(15(a,1),2159(a,1,2,2)),flip(a)]. 2161 L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)) = L(K(L(x,y,z),1 / x),y,z). [para(1981(a,1),2160(a,1,1)),flip(a)]. 2162 (x * y) \ ((x * (y * z)) * R((x * (y * z)) \ (x * y),u,w)) = L(z,y,x) * R(L(z,y,x) \ 1,u,w). [para(31(a,2),1316(a,2,2,1,1))]. 2163 (x * y) \ (x * ((y * z) * R((y * z) \ y,u,w))) = L(z,y,x) * R(L(z,y,x) \ 1,u,w). [para(809(a,1),2162(a,1,2))]. 2164 (x * y) \ (x * (y * (z * R(z \ 1,u,w)))) = L(z,y,x) * R(L(z,y,x) \ 1,u,w). [para(705(a,1),2163(a,1,2,2))]. 2165 L(x,y,z) * R(L(x,y,z) \ 1,u,w) != v5 | L(x * R(x \ 1,u,w),y,z) = v5. [para(2164(a,1),355(a,1))]. 2166 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(2165,a,968,a)]. 2167 ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z) = L(x * T(x \ 1,L(x,y,z)),y,z). [para(1348(a,1),2166(a,1,1,2)),flip(a)]. 2168 ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z) = K(L(x,y,z) \ 1,L(x,y,z)). [hyper(189,a,1974,a(flip),b,2167,a)]. 2169 (x \ 1) / (x \ L(x,y,z)) = L(x,y,z) \ 1. [hyper(21,a,165,a(flip),b,2168,a)]. 2170 (L(x,y,z) \ 1) \ (x \ 1) = x \ L(x,y,z). [para(2169(a,1),69(a,1,1))]. 2171 x / ((1 / x) \ L(1 / x,y,z)) = L(1 / x,y,z) \ 1. [para(69(a,1),2169(a,1,1))]. 2173 R(x,y,z) \ L(R(x,y,z),x \ 1,x) = (R(1 / (1 / x),y,z) \ 1) \ (R(x,y,z) \ 1). [para(475(a,1),2170(a,1,1,1)),flip(a)]. 2174 x / (x * L(x \ 1,y,z)) = L(1 / x,y,z) \ 1. [para(819(a,1),2171(a,1,2))]. 2175 (L(1 / x,y,z) \ 1) * (x * L(x \ 1,y,z)) = x. [para(2174(a,1),19(a,1,1))]. 2176 (x * L(x \ 1,y,z)) \ x = L(1 / x,y,z) \ 1. [hyper(2077,a,2175,a)]. 2177 L(1 / (1 / x),y,z) \ 1 = (L(x,y,z) / x) \ (1 / x). [para(1286(a,1),2176(a,1,1)),flip(a)]. 2178 (R(1 / (1 / x),y,z) \ 1) \ (R(x,y,z) \ 1) = R(x,y,z) \ R(1 / (1 / x),y,z). [para(475(a,1),2173(a,1,2)),flip(a)]. 2179 (x * (y * z)) * ((u * ((x * (y * z)) \ (x * y))) / u) = (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)). [para(102(a,1),1401(a,1,2,1,2,1))]. 2180 (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)) = x * ((y * z) * ((u * ((y * z) \ y)) / u)). [hyper(189,a,1397,a(flip),b,2179,a(flip))]. 2181 (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)) = x * (y * (z * ((u * (z \ 1)) / u))). [para(1398(a,1),2180(a,2,2))]. 2182 L(x,y,z) * ((u * (L(x,y,z) \ 1)) / u) = L(x * ((u * (x \ 1)) / u),y,z). [hyper(346,a,2181,a),flip(a)]. 2183 L(x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)),y,z) = L(x,y,z) * (1 / L(x,y,z)). [para(17(a,1),2182(a,1,2,1)),flip(a)]. 2184 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(189,a,1535,a,b,2183,a)]. 2185 L(K(L(x,y,z),1 / x),y,z) = K(L(x,y,z),L(x,y,z) \ 1). [para(1325(a,1),2184(a,1,1))]. 2186 L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)) = K(L(x,y,z),L(x,y,z) \ 1). [hyper(189,a,2161,a,b,2185,a(flip)),flip(a)]. 2187 (L(x,y,z) / x) \ (1 / x) = 1 / L(x,y,z). [hyper(20,a,1535,a(flip),b,2186,a)]. 2188 L(1 / (1 / x),y,z) \ 1 = 1 / L(x,y,z). [hyper(189,a,2177,a,b,2187,a(flip)),flip(a)]. 2189 L(1 / (1 / x),y,z) = 1 / (1 / L(x,y,z)). [para(2188(a,1),67(a,1,2)),flip(a)]. 2190 1 / L(x \ 1,y,z) = L(1 / x,y,z) \ 1. [para(67(a,1),2188(a,1,1,1,2)),flip(a)]. 2191 1 / L(K(x,y),z,u) = L(K(x,y),z,u) \ 1. [para(2005(a,1),2188(a,1,1,1)),flip(a)]. 2192 1 / (1 / L(x \ 1,y,z)) = L(1 / x,y,z). [para(67(a,1),2189(a,1,1,2)),flip(a)]. 2193 (L(1 / x,y,z) \ 1) \ 1 = L(x \ 1,y,z). [para(2190(a,1),69(a,1,1))]. 2194 (L(K(x,y),z,u) \ 1) \ 1 = L(K(x,y),z,u). [para(2191(a,1),69(a,1,1))]. 2195 L(1 / x,x,y) = 1 / (1 / ((y * x) \ y)). [para(140(a,1),2192(a,1,2,2)),flip(a)]. 2196 L(1 / (x \ y),x \ y,x) = 1 / (1 / (y \ x)). [para(276(a,1),2192(a,1,2,2)),flip(a)]. 2197 L(1 / x,x,y / x) = 1 / (1 / (y \ (y / x))). [para(279(a,1),2192(a,1,2,2)),flip(a)]. 2198 K(L(x \ 1,x,y) \ 1,L(x \ 1,x,y)) = ((y * x) \ y) \ L(1 / x,x,y). [para(2192(a,1),574(a,2,2))]. 2199 L(x,x \ 1,y) = 1 / (1 / ((y * (x \ 1)) \ y)). [para(67(a,1),2195(a,1,1))]. 2200 L((x \ 1) \ 1,y,z) = (L(x,y,z) \ 1) \ 1. [para(67(a,1),2193(a,1,1,1,1)),flip(a)]. 2202 L((((x \ y) \ z) \ 1) \ 1,x \ y,x) = ((y \ (x * z)) \ 1) \ 1. [para(359(a,1),2200(a,2,1,1))]. 2203 L(T(x \ 1,x),y,z) = (L(x \ 1,y,z) \ 1) \ 1. [para(627(a,2),2200(a,1,1))]. 2204 x * ((x \ y) * (1 / (x \ y))) = y * (1 / (1 / (y \ x))). [para(2196(a,1),344(a,1,2)),flip(a)]. 2205 x \ ((x / y) * K(y,y \ 1)) = 1 / (1 / (x \ (x / y))). [hyper(189,a,1555,a,b,2197,a(flip)),flip(a)]. 2206 x * K(x \ y,y \ x) = y * (1 / (1 / (y \ x))). [para(2000(a,1),2204(a,1,2))]. 2207 x \ (y * K(y \ x,x \ y)) = 1 / (1 / (x \ y)). [hyper(426,a,2206,a)]. 2209 L(x \ (1 / (1 / (y \ (y * x)))),x,y) = K((y * x) \ y,y \ (y * x)). [para(2207(a,1),343(a,1,1,2))]. 2210 (x / y) * K(y,y \ 1) = x * (1 / (1 / (x \ (x / y)))). [para(2205(a,1),17(a,1,2)),flip(a)]. 2211 K((x / y) \ x,x \ (x / y)) = K(y,y \ 1). [hyper(20,a,2206,a,b,2210,a),flip(a)]. 2212 L(T((x \ y) \ z,z \ (x \ y)),x \ y,x) = ((y \ (x * z)) \ 1) \ 1. [para(1986(a,2),2202(a,1,1))]. 2213 L(x \ (1 / (1 / x)),x,y) = K((y * x) \ y,y \ (y * x)). [para(16(a,1),2209(a,1,1,2,2,2))]. 2214 L(K(x \ 1,x),x,y) = K((y * x) \ y,y \ (y * x)). [para(477(a,1),2213(a,1,1))]. 2215 T(x \ (y * z),z \ (y \ x)) = ((x \ (y * z)) \ 1) \ 1. [hyper(189,a,582,a(flip),b,2212,a(flip)),flip(a)]. 2216 T(a(x,y,z),z \ ((x * y) \ (x * (y * z)))) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(27(a,2),2215(a,1,1))]. 2217 T(a(x,y,z),z \ L(z,y,x)) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(31(a,2),2216(a,1,2,2))]. 2218 T(a(x,y,z),z \ L(z,y,x)) = (a(x,y,z) \ 1) \ 1. [para(27(a,2),2217(a,2,1,1))]. 2219 (((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(33(a,2),1725(a,2,2,1,1))]. 2220 (((x * y) * R((x * y) \ y,z,u)) * w) / (y * w) = R(x,y,w) * R(R(x,y,w) \ 1,z,u). [para(1634(a,1),2219(a,1,1))]. 2221 (((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),2220(a,1,1,1))]. 2222 R(x,y,z) * R(R(x,y,z) \ 1,u,w) = R(x * R(x \ 1,u,w),y,z). [hyper(385,a,2221,a),flip(a)]. 2224 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(189,a,872,a(flip),b,2222,a(flip))]. 2225 ((x \ 1) / (x \ R(x,y,z))) * R(x,y,z) = R(x * T(x \ 1,R(x,y,z)),y,z). [para(1662(a,1),2224(a,1,1,2)),flip(a)]. 2226 ((x \ 1) / (x \ R(x,y,z))) * R(x,y,z) = K(R(x,y,z) \ 1,R(x,y,z)). [hyper(189,a,2014,a(flip),b,2225,a)]. 2227 (x \ 1) / (x \ R(x,y,z)) = R(x,y,z) \ 1. [hyper(21,a,165,a(flip),b,2226,a)]. 2228 ((x * y) * (z * L(z \ ((x * y) \ (y * z)),u,w))) / (R(x,y,z) \ ((x * y) * z)) = R(x,y,z) * L(R(x,y,z) \ 1,u,w). [para(811(a,1),1241(a,1,1))]. 2229 K(x,y) * (z * T(z \ L((y \ 1) \ z,y \ 1,y * K(x,y)),u)) = ((y * K(x,y)) * (y \ T(y,u))) * z. [para(770(a,1),1945(a,2,1,2))]. 2230 (((x * y) * L((x * y) \ y,z,u)) * w) / (R(x,y,w) \ ((x * y) * w)) = R(x,y,w) * L(R(x,y,w) \ 1,z,u). [para(1334(a,1),2228(a,1,1))]. 2231 (((x * L(x \ 1,y,z)) * u) * w) / (R(x,u,w) \ ((x * u) * w)) = R(x,u,w) * L(R(x,u,w) \ 1,y,z). [para(1337(a,1),2230(a,1,1,1))]. 2232 (((x * L(x \ 1,y,z)) * u) * w) / (u * w) = R(x,u,w) * L(R(x,u,w) \ 1,y,z). [para(133(a,1),2231(a,1,2))]. 2233 R(x,y,z) * L(R(x,y,z) \ 1,u,w) = R(x * L(x \ 1,u,w),y,z). [hyper(385,a,2232,a),flip(a)]. 2235 R(x,y,z) * L(R(x,y,z) \ 1,x,1 / x) = R(x * T(1 / x,1),y,z). [para(579(a,1),2233(a,2,1,2))]. 2236 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(880(a,1),2233(a,1,2))]. 2237 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(x * T(1 / x,1),y,z). [para(929(a,1),2235(a,1,2))]. 2238 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(x * (1 / x),y,z). [para(188(a,1),2237(a,2,1,2))]. 2239 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(K(x,x \ 1),y,z). [para(1535(a,2),2238(a,2,1))]. 2240 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(15(a,1),2236(a,1,2,2)),flip(a)]. 2241 (1 / x) * ((((y * x) \ y) \ (((y * x) \ y) * x)) * ((y * x) \ y)) = (T(x,(y * x) \ y) / x) * ((y * x) \ y). [para(792(a,1),1207(a,2,1))]. 2242 (T(x,(y * x) \ y) / x) * ((y * x) \ y) = (1 / x) * (x * ((y * x) \ y)). [para(16(a,1),2241(a,1,2,1)),flip(a)]. 2243 (T(x,(y * x) \ y) / x) * ((y * x) \ y) = L(1 / x,x,y). [hyper(189,a,710,a(flip),b,2242,a)]. 2244 K(x,(y * x) \ y) * ((y * x) \ y) = L(1 / x,x,y). [para(1720(a,1),2243(a,1,1))]. 2245 K(x,x \ 1) * ((y * x) \ y) = L(1 / x,x,y). [para(1990(a,1),2244(a,1,1))]. 2246 ((x * y) \ x) * T(K(y,y \ 1),(x * y) \ x) = L(1 / y,y,x). [hyper(206,a,2245,a)]. 2248 ((x * y) \ x) * K(y,y \ 1) = L(1 / y,y,x). [para(1152(a,1),2246(a,1,2))]. 2249 ((x * y) \ x) \ L(1 / y,y,x) = K(y,y \ 1). [hyper(80,a,2248,a)]. 2251 K(L(x \ 1,x,y) \ 1,L(x \ 1,x,y)) = K(x,x \ 1). [hyper(189,a,2198,a,b,2249,a(flip)),flip(a)]. 2253 x * T(y,L(y \ 1,y,x)) = (x * y) * K(y,y \ 1). [para(2251(a,1),1098(a,1,2)),flip(a)]. 2254 (x * y) * K(y,y \ 1) = x * ((y \ 1) \ 1). [para(1987(a,1),2253(a,1,2)),flip(a)]. 2255 (x * y) * K(y,y \ 1) = x * T(y,y \ 1). [para(1989(a,1),2253(a,1,2)),flip(a)]. 2257 (x / y) * ((y \ 1) \ 1) = x * K(y,y \ 1). [hyper(252,a,2254,a),flip(a)]. 2258 (x * K(y,y \ 1)) * y = x * ((y \ 1) \ 1). [hyper(189,a,1562,a,b,2254,a(flip)),flip(a)]. 2259 K(x,x \ 1) \ (y * ((x \ 1) \ 1)) != z | T(y * x,K(x,x \ 1)) = z. [para(2254(a,1),238(a,1,2))]. 2261 (x * K(y,y \ 1)) * y = x * T(y,y \ 1). [hyper(189,a,1562,a,b,2255,a(flip)),flip(a)]. 2262 (x / T(y,y \ 1)) * K(y,y \ 1) = x / y. [hyper(76,a,258,a(flip),b,2258,a),flip(a)]. 2263 (x * (y \ 1)) * K(y,y \ 1) = x * (1 / y). [hyper(21,a,491,a(flip),b,2258,a)]. 2266 (x * K(y,y \ 1)) * y = x * (K(y,y \ 1) * y). [para(1540(a,2),2258(a,2,2))]. 2267 (x / (y \ 1)) * (1 / y) = x * K(y,y \ 1). [hyper(252,a,2263,a),flip(a)]. 2268 (x * y) * (y \ 1) = R(x,y,1 / y). [hyper(21,a,1547,a,b,2263,a)]. 2269 ((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(2263(a,1),378(a,1,1))]. 2270 R(x,y,1 / y) = R(x,y,y \ 1). [hyper(387,a,2268,a),flip(a)]. 2271 (x * (y \ 1)) * ((y \ 1) \ 1) = R(x,y \ 1,y). [para(67(a,1),2268(a,2,3))]. 2272 (x * (1 / y)) * y = R(x,y \ 1,y). [hyper(189,a,491,a(flip),b,2271,a(flip)),flip(a)]. 2273 R(x,y \ 1,y) / y = x * (1 / y). [hyper(76,a,2271,a(flip),b,491,a(flip))]. 2274 R(x,y \ 1,y) != z | R(x,y \ 1,(y \ 1) \ 1) = z. [para(2271(a,1),387(a,1))]. 2275 R(x,1 / y,y) = R(x,y \ 1,y). [hyper(591,a,2272,a)]. 2276 R(x / (1 / y),y \ 1,y) = x * y. [hyper(252,a,2272,a),flip(a)]. 2277 ((1 / x) * K(y,x)) * x = R(K(y,x),x \ 1,x). [para(1821(a,1),2272(a,1,1))]. 2278 R(x,(1 / y) \ 1,1 / y) / (1 / y) = x * (y * K(y \ 1,y)). [para(474(a,2),2273(a,2,2))]. 2279 R(x,K(y,y \ 1),y) = x. [hyper(376,a,2266,a)]. 2280 L(x,K(x,x \ 1),y) = x. [hyper(346,a,2266,a)]. 2281 R(x,K(y \ 1,y),1 / y) = x. [para(1835(a,1),2279(a,1,2))]. 2282 L(1 / x,K(x \ 1,x),y) = 1 / x. [para(1835(a,1),2280(a,1,2))]. 2283 L(1 / (1 / x),K(x,x \ 1),y) = 1 / (1 / x). [para(2280(a,1),2189(a,2,2,2))]. 2284 (x * K(y \ 1,y)) * (1 / y) = x * (y \ 1). [para(2281(a,1),1831(a,1,1)),flip(a)]. 2285 x * ((y \ 1) * (y * T(y \ 1,x))) = (1 / y) * (x * K(y \ 1,y)). [para(2282(a,1),2121(a,1,1)),flip(a)]. 2286 (x / (y \ 1)) * K(y \ 1,y) = x / (1 / y). [hyper(76,a,19,a(flip),b,2284,a),flip(a)]. 2287 R(x * K(y \ 1,y),y \ 1,y) = (x * (y \ 1)) * y. [para(2284(a,1),2272(a,1,1)),flip(a)]. 2290 (x * K(y,y \ 1)) \ (x * y) = 1 / (1 / y). [hyper(189,a,1611,a(flip),b,2283,a(flip)),flip(a)]. 2292 (x / y) * K(y,y \ 1) = x / (1 / (1 / y)). [para(2290(a,1),234(a,1,2)),flip(a)]. 2293 x * (1 / (1 / (x \ (x / y)))) = x / (1 / (1 / y)). [hyper(189,a,2210,a(flip),b,2292,a(flip)),flip(a)]. 2294 1 / (1 / (x \ (x / y))) = x \ (x / (1 / (1 / y))). [hyper(75,a,2292,a(flip),b,2210,a(flip)),flip(a)]. 2295 x / (1 / (1 / (y \ x))) = x * (1 / (1 / (x \ y))). [para(67(a,1),2293(a,1,2,2,2,2)),flip(a)]. 2296 (x \ (x / (1 / (1 / y)))) \ 1 = 1 / (x \ (x / y)). [para(2294(a,1),69(a,1,1))]. 2297 x / (1 / (1 / ((x * y) \ x))) = x * (1 / (1 / y)). [para(16(a,1),2295(a,2,2,2,2))]. 2298 1 / (x \ (x / (y \ 1))) = (x \ (x / (1 / y))) \ 1. [para(67(a,1),2296(a,1,1,2,2,2)),flip(a)]. 2299 1 / (x \ (x / ((y \ 1) \ 1))) = (x \ (x / y)) \ 1. [para(130(a,1),2296(a,1,1,2,2)),flip(a)]. 2300 x / L(y,y \ 1,x) = x * (1 / (1 / (y \ 1))). [para(2199(a,2),2297(a,1,2))]. 2301 x / L(y,y \ 1,x) = x * (1 / y). [para(67(a,1),2300(a,2,2,2))]. 2302 L(x,x \ 1,y) = (y * (1 / x)) \ y. [para(2301(a,1),69(a,1,1)),flip(a)]. 2303 K(x \ (x / L(y,y \ 1,x)),z) = K(1 / y,z). [para(2301(a,2),1215(a,1,1,2))]. 2304 L(x,1 / x,y) = L(x,x \ 1,y). [hyper(189,a,284,a,b,2302,a),flip(a)]. 2305 L(x \ 1,(x \ 1) \ 1,y) = L(x \ 1,x,y). [para(67(a,1),2304(a,1,2)),flip(a)]. 2306 L(x \ 1,T(x,x \ 1),y) = L(x \ 1,x,y). [para(114(a,2),2305(a,1,2))]. 2307 L(T(x \ 1,x),T(x,x \ 1),y) = (L(x \ 1,x,y) \ 1) \ 1. [para(2306(a,1),2203(a,2,1,1))]. 2308 L(x * T(x \ 1,y),x \ 1,y) = K(1 / x,y). [hyper(189,a,1973,a,b,2303,a(flip)),flip(a)]. 2309 L((1 / x) * T((1 / x) \ 1,y),x,y) = K(1 / (1 / x),y). [para(69(a,1),2308(a,1,2))]. 2310 ((x \ (x / y)) \ 1) \ 1 = x \ (x / ((y \ 1) \ 1)). [para(2299(a,1),69(a,1,1))]. 2311 T(x \ (x / y),y) = x \ (x / ((y \ 1) \ 1)). [hyper(189,a,1996,a,b,2310,a(flip)),flip(a)]. 2312 x * T(x \ (x / y),y) = x / ((y \ 1) \ 1). [para(2311(a,2),17(a,1,2))]. 2313 (x / y) * K(y \ 1,y) = x / ((y \ 1) \ 1). [hyper(189,a,842,a,b,2312,a(flip)),flip(a)]. 2314 (x * y) / ((y \ 1) \ 1) = x * K(y \ 1,y). [para(18(a,1),2313(a,1,1)),flip(a)]. 2316 (x / ((y \ 1) \ 1)) * y = x * K(y \ 1,y). [para(2313(a,1),1197(a,1,1))]. 2317 (x * K(y \ 1,y)) * ((y \ 1) \ 1) = x * y. [para(2314(a,1),19(a,1,1))]. 2318 (x * T(y,z)) / T(T(y,y \ 1),z) = x * K(T(y,z) \ 1,T(y,z)). [para(2093(a,2),2314(a,1,2))]. 2319 (x * ((y \ 1) \ 1)) * K(y \ 1,y) = x * y. [para(18(a,1),2316(a,1,1)),flip(a)]. 2320 (x * T(y,y \ 1)) * K(y \ 1,y) = x * y. [para(531(a,1),2316(a,1,1)),flip(a)]. 2321 T(x * ((y \ 1) \ 1),z) * K(y \ 1,y) = (y \ T(y * x,z)) * y. [para(788(a,1),2316(a,1,1)),flip(a)]. 2322 (x * K(y,y \ 1)) * K(y \ 1,y) = x. [hyper(21,a,2258,a(flip),b,2317,a)]. 2323 (x * K(y \ 1,y)) * K(y,y \ 1) = x. [hyper(21,a,2258,a,b,2317,a(flip)),flip(a)]. 2324 x / K(y,y \ 1) = x * K(y \ 1,y). [hyper(252,a,2322,a),flip(a)]. 2325 (x / y) * y = (x * K(z,z \ 1)) * K(z \ 1,z). [hyper(189,a,19,a,b,2322,a),flip(a)]. 2326 (x * K(y,y \ 1)) \ x = K(y \ 1,y). [hyper(80,a,2322,a)]. 2327 (x / (1 / y)) * K(y,y \ 1) = x / (y \ 1). [hyper(21,a,2286,a,b,2322,a)]. 2329 x * K(y \ 1,y) != z | z * K(y,y \ 1) = x. [para(2322(a,1),23(a,1)),flip(a)]. 2330 (x / (y * x)) * K(y \ 1,y) = R(y \ 1,y,x). [para(1746(a,2),2322(a,1,1))]. 2331 x * K(y,y \ 1) != z | z * K(y \ 1,y) = x. [para(2323(a,1),23(a,1)),flip(a)]. 2332 (x * y) * K(x \ 1,x) = x * (y / K(x,x \ 1)). [hyper(189,a,2040,a(flip),b,2324,a(flip))]. 2333 (x * K(y,y \ 1)) * K(y \ 1,y) != z | z = x. [para(2324(a,1),248(a,1))]. 2334 x * K(y \ 1,y) != z * y | z * ((y \ 1) \ 1) = x. [para(2319(a,1),23(a,1)),flip(a)]. 2335 (x * ((y \ 1) \ 1)) * (y \ 1) = (x * y) * (1 / y). [para(2319(a,1),2284(a,1,1)),flip(a)]. 2336 x * K(y \ 1,y) != z * y | z * T(y,y \ 1) = x. [para(2320(a,1),23(a,1)),flip(a)]. 2337 L(x * ((y \ 1) \ 1),z,u) * K(y \ 1,y) = (y \ L(y * x,z,u)) * y. [para(2082(a,1),2320(a,1,1))]. 2338 (x * T(y,y \ 1)) * (y \ 1) = (x * y) * (1 / y). [para(2320(a,1),2284(a,1,1)),flip(a)]. 2339 (R(x,y,y \ 1) / (1 / y)) * K(y,y \ 1) = x * y. [hyper(189,a,373,a(flip),b,2327,a)]. 2340 K(x / (y * x),y) = K(y \ 1,y). [hyper(20,a,1845,a,b,2330,a),flip(a)]. 2341 K(x / (y * x),(x / (y * x)) \ 1) = K(y \ 1,y). [hyper(2134,a,2340,a)]. 2342 K((x / y) \ 1,x / y) = K(y / x,x / y). [para(19(a,1),2340(a,1,1,2)),flip(a)]. 2343 K(x \ 1,x) * (y / (x * y)) != z | R(x \ 1,x,y) = z. [para(2340(a,1),1780(a,1,1))]. 2345 K((x / (y * x)) \ 1,x / (y * x)) = K(y,x / (y * x)). [para(18(a,1),2342(a,2,1))]. 2349 (x * y) * K(x \ 1,x) = x * (y * K(x \ 1,x)). [para(2324(a,1),2332(a,2,2))]. 2350 ((x / y) * (y / x)) * ((x / y) \ 1) = ((y / x) * (x / y)) * (1 / (x / y)). [para(1769(a,1),2335(a,1,1))]. 2351 ((x / (x * y)) * y) * (1 / y) = (y * (x / (x * y))) * (y \ 1). [para(2112(a,1),2338(a,1,1)),flip(a)]. 2352 K(x \ 1,x) * (y / (x * y)) = ((y / (x * y)) \ 1) \ 1. [para(2341(a,1),1540(a,1,1))]. 2353 R(x,y,K(x \ 1,x)) = x. [hyper(376,a,2349,a)]. 2354 x * (y * K(x \ 1,x)) != z | (x * y) * K(x \ 1,x) = z. [para(2353(a,1),204(a,1,1))]. 2355 R(x,y \ 1,(y \ 1) \ 1) = R(x,1 / y,y). [hyper(2274,a,2275,a(flip))]. 2356 R(x,(y \ 1) \ 1,T(y \ 1,y)) = R(x,1 / (y \ 1),y \ 1). [para(627(a,2),2355(a,1,3))]. 2357 R(((x \ (x / (y \ 1))) * x) * K(y \ 1,y),y \ 1,y) = (x * ((y \ 1) * T((y \ 1) \ 1,x))) * y. [para(1167(a,1),2287(a,2,1))]. 2359 K((x / (y * x)) \ 1,x / (y * x)) = K(y,y \ 1). [hyper(189,a,2129,a(flip),b,2345,a)]. 2361 K((x * y) / y,y / (x * y)) = K(x,x \ 1). [hyper(189,a,2342,a(flip),b,2359,a(flip)),flip(a)]. 2362 K(x,x \ 1) * (x * y) = T(x,x \ 1) * y. [para(2359(a,1),1756(a,1,1))]. 2363 (K(x,x \ 1) * y) / (x * y) = 1 / (1 / R(1 / x,x,y)). [para(2361(a,1),2136(a,1,1,1))]. 2364 T(x,x \ 1) * (x \ y) = K(x,x \ 1) * y. [hyper(254,a,2362,a),flip(a)]. 2365 K(x,x \ 1) * (x * y) = ((x \ 1) \ 1) * y. [hyper(189,a,219,a(flip),b,2362,a)]. 2366 L(x,y,K(y,y \ 1)) = x. [hyper(1556,a,2362,a(flip))]. 2367 x * (K(x,x \ 1) * y) = T(x,x \ 1) * y. [hyper(189,a,1575,a(flip),b,2362,a(flip)),flip(a)]. 2368 (T(x,x \ 1) * y) / (K(x,x \ 1) * y) = x. [hyper(76,a,2362,a(flip),b,1575,a(flip))]. 2371 L(x,K(y \ 1,y),1 / y) = x. [hyper(189,a,1837,a(flip),b,2366,a(flip)),flip(a)]. 2372 L(x,1 / y,K(y \ 1,y)) = x. [para(1835(a,1),2366(a,1,3))]. 2374 (1 / x) * (x * y) = L(y,x,x \ 1). [hyper(189,a,1930,a(flip),b,2371,a(flip)),flip(a)]. 2375 L(x,y,y \ 1) / (y * x) = 1 / y. [hyper(76,a,2371,a(flip),b,1930,a(flip))]. 2376 K(x \ 1,x) * ((x \ 1) \ y) = (1 / x) \ y. [hyper(189,a,1848,a(flip),b,2372,a(flip)),flip(a)]. 2377 L(x,1 / (1 / y),K(y,y \ 1)) = x. [para(1536(a,1),2372(a,1,3))]. 2378 K(x \ 1,x) * ((1 / x) * y) = (x \ 1) * y. [para(2372(a,1),1830(a,1,2)),flip(a)]. 2379 L(x \ y,x,x \ 1) = (1 / x) * y. [para(2372(a,1),1847(a,1,1,2))]. 2380 L(x,y,1 / y) = L(x,y,y \ 1). [hyper(358,a,2374,a)]. 2382 x * ((1 / x) * (y * x)) = L(y,x,x \ 1) * x. [hyper(20,a,864,a(flip),b,2374,a)]. 2383 L(L(x \ y,z,u),x,x \ 1) = L((1 / x) * y,z,u). [hyper(189,a,822,a(flip),b,2374,a(flip))]. 2384 L(T(x,y),y,y \ 1) = (1 / y) * (x * y). [para(113(a,1),2374(a,1,2)),flip(a)]. 2385 L((x \ 1) * y,x,x \ 1) = (1 / x) * L(y,x \ 1,x). [para(166(a,1),2374(a,1,2)),flip(a)]. 2386 L(x,y,y \ 1) \ ((1 / y) * (x * y)) = L(K(x,y),y * x,1 / y). [para(2374(a,1),217(a,1,1))]. 2387 L(L(x,y,z) \ 1,x,x \ 1) = (1 / x) * (L(x,y,z) \ x). [para(964(a,1),2374(a,1,2)),flip(a)]. 2388 L(T(x,y) \ 1,x,x \ 1) = (1 / x) * (T(x,y) \ x). [para(987(a,1),2374(a,1,2)),flip(a)]. 2389 (1 / x) \ L(L(y,x,x \ 1),z,u) != x * w | L(y,z,u) = w. [para(2380(a,1),818(a,1,2,1))]. 2390 (1 / x) * (x * y) != z | L(y,x,x \ 1) = z. [para(2375(a,1),200(a,1,1)),flip(b)]. 2391 K(x,x \ 1) * ((1 / (1 / x)) * y) = x * y. [para(2377(a,1),1612(a,1,2)),flip(a)]. 2392 T(x,y) * L(T(x,y) \ 1,x,x \ 1) = T(x * ((1 / x) * 1),y). [para(2379(a,1),1923(a,2,1,2))]. 2393 T(x,(1 / x) * y) = T(x,(x \ 1) * y). [para(2379(a,1),2056(a,1,2))]. 2394 T(x \ 1,((x \ 1) \ 1) * y) = T(x \ 1,x * y). [para(67(a,1),2393(a,1,2,1)),flip(a)]. 2395 x * ((1 / x) * (y * x)) != z | L(y,x,x \ 1) * x = z. [para(2384(a,1),303(a,1,2))]. 2396 ((x \ 1) \ 1) * (x \ y) = K(x,x \ 1) * y. [hyper(551,a,2364,a)]. 2397 K(x,x \ 1) \ (y * ((x \ 1) \ 1)) = x * T(y,(x \ 1) \ 1). [hyper(75,a,113,a(flip),b,2365,a)]. 2398 x * (K(x,x \ 1) * y) = ((x \ 1) \ 1) * y. [hyper(189,a,1575,a(flip),b,2365,a(flip)),flip(a)]. 2399 R(x,K(x,x \ 1),y) = x. [hyper(1764,a,2368,a)]. 2400 R(1 / x,K(x \ 1,x),y) = 1 / x. [para(1835(a,1),2399(a,1,2))]. 2401 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(2400(a,1),2013(a,1,1)),flip(a)]. 2403 (1 / x) \ ((x \ 1) * y) = K(x \ 1,x) * y. [para(16(a,1),2376(a,1,2)),flip(a)]. 2405 (x \ 1) * ((1 / x) \ y) = K(x \ 1,x) * y. [para(2376(a,1),1630(a,1,2))]. 2406 K((1 / T(x,y)) \ 1,1 / T(x,y)) * (((1 / T(x,y)) \ 1) \ z) = T(1 / (1 / x),y) \ z. [para(2097(a,1),2376(a,2,1))]. 2408 ((x * K(y \ 1,y)) * ((1 / y) * z)) / ((y \ 1) * z) = R(x,K(y \ 1,y),(1 / y) * z). [para(2378(a,1),33(a,2,2)),flip(a)]. 2409 ((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(2378(a,1),348(a,1,1))]. 2411 (1 / (1 / x)) * (K(x,x \ 1) * y) = x * y. [hyper(1577,a,2391,a),flip(a)]. 2412 x * ((1 / (1 / x)) \ y) = K(x,x \ 1) * y. [hyper(254,a,2391,a),flip(a)]. 2413 K(x,x \ 1) * ((y \ (1 / (1 / x))) * y) = x * K(y \ (1 / (1 / x)),y). [para(213(a,1),2391(a,1,2))]. 2414 K(x,x \ 1) * (T(x,y) \ 1) = x * (T(x,y) \ (1 / x)). [hyper(189,a,1776,a(flip),b,2396,a(flip))]. 2415 K(x,x \ 1) * (((x \ 1) \ 1) \ y) = x \ y. [hyper(75,a,17,a(flip),b,2398,a),flip(a)]. 2416 K(x,x \ 1) * (y * (x \ 1)) = y * (1 / x). [hyper(20,a,1895,a(flip),b,2398,a)]. 2417 (1 / x) * (K(x \ 1,x) * y) = (x \ 1) * y. [para(2403(a,1),17(a,1,2))]. 2419 K(x \ 1,x) * ((y * ((1 / x) * z)) / y) = (x \ 1) * (x * ((y * (x \ z)) / y)). [para(939(a,1),2405(a,1,2)),flip(a)]. 2420 K(x,x \ 1) * ((x \ 1) * y) = (1 / x) * y. [hyper(746,a,2411,a),flip(a)]. 2421 K(x,x \ 1) * (x \ y) = (1 / (1 / x)) \ y. [hyper(75,a,17,a(flip),b,2411,a),flip(a)]. 2422 K(x,x \ 1) * L(y,x \ 1,x) = x * ((1 / x) * y). [para(745(a,1),2412(a,1,2)),flip(a)]. 2423 K(x / y,(x / y) \ 1) \ y = (((x / y) \ 1) \ 1) \ x. [hyper(75,a,69,a(flip),b,2415,a)]. 2426 (1 / x) \ (K(x,x \ 1) * y) = (x \ 1) \ y. [hyper(432,a,2420,a)]. 2427 (1 / x) * ((x \ 1) \ y) = K(x,x \ 1) * y. [hyper(254,a,2420,a),flip(a)]. 2428 K(x,x \ 1) \ ((1 / x) * y) = (x \ 1) * y. [hyper(80,a,2420,a)]. 2429 K(x,x \ 1) \ ((1 / x) * y) != z | (x \ 1) * y = z. [para(2420(a,1),237(a,1,2)),flip(b)]. 2430 (x * ((1 / y) * z)) / L((y \ 1) * z,K(y,y \ 1),x) = x * K(y,y \ 1). [para(2420(a,1),128(a,1,1,2))]. 2431 (x * K(y,y \ 1)) \ (x * ((1 / y) * z)) != u | L((y \ 1) * z,K(y,y \ 1),x) = u. [para(2420(a,1),355(a,1,2,2))]. 2432 (1 / x) \ (K(x,x \ 1) * (T(x,y) \ 1)) = (x \ T(x,y)) \ 1. [hyper(189,a,2064,a(flip),b,2426,a)]. 2433 K(x,x \ 1) * ((1 / x) \ y) = (x \ 1) \ y. [hyper(189,a,1087,a(flip),b,2427,a(flip))]. 2434 (1 / x) \ ((x \ 1) * (K(x,x \ 1) * y)) = y. [hyper(20,a,16,a(flip),b,2433,a)]. 2435 ((x \ 1) \ 1) \ ((x \ 1) \ y) = x \ ((1 / x) \ y). [hyper(75,a,2433,a(flip),b,2396,a)]. 2436 K(x,x \ 1) * (((x \ y) / y) * x) = (x \ 1) \ ((x \ y) / y). [para(912(a,1),2433(a,1,2))]. 2437 K(x \ 1,x) * (K(x,x \ 1) * y) = y. [hyper(189,a,2403,a(flip),b,2434,a(flip)),flip(a)]. 2438 K(x \ 1,x) \ y = K(x,x \ 1) * y. [hyper(75,a,2434,a(flip),b,2403,a(flip))]. 2439 K(x,x \ 1) * (K(x \ 1,x) * y) = y. [hyper(20,a,2403,a(flip),b,2434,a(flip)),flip(a)]. 2440 (x \ 1) * (K(x,x \ 1) * y) = (1 / x) * y. [para(2434(a,1),17(a,1,2)),flip(a)]. 2441 K(x \ 1,x) * y != z | K(x,x \ 1) * z = y. [para(2437(a,1),22(a,1)),flip(a)]. 2442 K(x \ 1,x) * (T(x,x \ 1) * y) = x * y. [para(2362(a,1),2437(a,1,2))]. 2443 K(x \ 1,x) * (((x \ 1) \ 1) * y) = x * y. [para(2365(a,1),2437(a,1,2))]. 2444 K(x \ 1,x) * (x * y) = (1 / (1 / x)) * y. [para(2391(a,1),2437(a,1,2))]. 2445 K(x \ 1,x) * (x \ y) = ((x \ 1) \ 1) \ y. [para(2415(a,1),2437(a,1,2))]. 2446 K(x \ 1,x) * (y * (1 / x)) = y * (x \ 1). [para(2416(a,1),2437(a,1,2))]. 2447 K(x \ 1,x) * ((1 / (1 / x)) \ y) = x \ y. [para(2421(a,1),2437(a,1,2))]. 2448 K(x \ 1,x) \ (x * y) = ((x \ 1) \ 1) * y. [hyper(189,a,2365,a(flip),b,2438,a)]. 2449 K(x \ 1,x) * (K(x,x \ 1) * y) != z | z = y. [para(2438(a,1),203(a,1,2))]. 2451 K(x \ 1,x) * R(K(x,x \ 1) * (y * x),z,u) = (x \ R(x * y,z,u)) * x. [para(2438(a,1),2023(a,1,2,1))]. 2452 x \ (K(x \ 1,x) * y) = ((x \ 1) \ 1) \ y. [hyper(75,a,2439,a(flip),b,2396,a),flip(a)]. 2453 x \ (K(x \ 1,x) * y) = T(x,x \ 1) \ y. [hyper(75,a,2439,a(flip),b,2364,a),flip(a)]. 2454 T(x,x \ 1) * (K(x \ 1,x) * y) = x * y. [para(2439(a,1),2367(a,1,2)),flip(a)]. 2455 ((x \ 1) \ 1) * (K(x \ 1,x) * y) = x * y. [para(2439(a,1),2398(a,1,2)),flip(a)]. 2456 (x \ 1) * (K(x,x \ 1) * L((1 / x) \ y,z,u)) = L(y * x,z,u) / x. [hyper(189,a,1285,a(flip),b,2440,a)]. 2458 x * (T(T(x,x \ 1),y) * (T(x,x \ 1) \ z)) = K(x \ 1,x) * (T(T(x,x \ 1),y) * z). [para(974(a,1),2442(a,1,2)),flip(a)]. 2460 (1 / (1 / x)) * (x \ y) = K(x \ 1,x) * y. [hyper(254,a,2444,a),flip(a)]. 2461 ((1 / (1 / x)) * y) / (K(x \ 1,x) * y) = x. [hyper(76,a,2444,a(flip),b,1191,a(flip))]. 2462 T(x \ (y \ x),y) = x \ (((y \ 1) \ 1) \ x). [hyper(75,a,2445,a(flip),b,910,a(flip)),flip(a)]. 2463 K(x \ 1,x) * (1 / T(x,y)) = x \ (x / T(x,y)). [para(2119(a,1),2447(a,1,2))]. 2464 (x \ 1) \ (K(x,x \ 1) * y) = (((x \ 1) \ 1) \ 1) \ y. [para(1838(a,1),2452(a,1,2,1))]. 2465 x * (T(T(x,y),z) * (T(x,x \ 1) \ u)) = T(T(x,y),z) * (K(x \ 1,x) * u). [para(2453(a,1),1698(a,1,2,2))]. 2466 T(R(x,y,z),R(x,y,z) \ 1) \ ((x * y) * z) = K(R(x,y,z) \ 1,R(x,y,z)) * (y * z). [hyper(75,a,110,a(flip),b,2454,a)]. 2467 R(x,K(x \ 1,x),y) = x. [hyper(649,a,2461,a)]. 2468 (T(x,y) * K(x \ 1,x)) * z = T(x,y) * (K(x \ 1,x) * z). [para(2467(a,1),380(a,1,1,1)),flip(a)]. 2469 T(x \ ((1 / y) \ x),1 / y) = x \ ((y \ 1) \ x). [para(69(a,1),2462(a,2,2,1,1))]. 2473 T(K(x \ 1,x),y) = K(x \ 1,x). [hyper(21,a,1454,a,b,2463,a),flip(a)]. 2475 K(x \ 1,x) * y = y * K(x \ 1,x). [para(2473(a,1),113(a,1,2)),flip(a)]. 2476 T((x \ 1) * x,y) = K(x \ 1,x). [para(165(a,1),2473(a,1,1))]. 2477 x * K(y \ 1,y) != z | K(y \ 1,y) * x = z. [para(2473(a,1),205(a,1,2))]. 2479 (K(x,x \ 1) * y) * K(x \ 1,x) = y. [hyper(2449,a,2475,a)]. 2480 K(x,x \ 1) * (y * K(x \ 1,x)) = y. [hyper(2441,a,2475,a)]. 2481 K(x \ 1,x) * (y * K(x,x \ 1)) = y. [hyper(189,a,2322,a(flip),b,2475,a)]. 2482 K(x \ 1,x) * (y * T(x,x \ 1)) = y * x. [hyper(189,a,2320,a(flip),b,2475,a)]. 2483 K(x \ 1,x) * (y / x) = y / ((x \ 1) \ 1). [hyper(189,a,2313,a(flip),b,2475,a)]. 2484 K(x \ 1,x) * (y / (x \ 1)) = y / (1 / x). [hyper(189,a,2286,a(flip),b,2475,a)]. 2485 K(x \ 1,x) * (y / x) = y * T(y \ (y / x),x). [hyper(189,a,842,a(flip),b,2475,a)]. 2486 (K(x \ 1,x) * y) * K(x,x \ 1) = y. [hyper(20,a,2322,a(flip),b,2475,a)]. 2487 (x \ 1) * ((1 / x) \ y) = y * K(x \ 1,x). [hyper(189,a,2405,a,b,2475,a(flip)),flip(a)]. 2488 (x * y) * K(x \ 1,x) = (1 / (1 / x)) * y. [hyper(189,a,2444,a(flip),b,2475,a(flip))]. 2489 ((1 / x) * y) * K(x \ 1,x) = (x \ 1) * y. [hyper(189,a,2378,a(flip),b,2475,a(flip))]. 2490 ((x \ 1) \ y) * K(x \ 1,x) = (1 / x) \ y. [hyper(189,a,2376,a(flip),b,2475,a(flip))]. 2491 L(x \ 1,x,K(y \ 1,y)) = (x * K(y \ 1,y)) \ K(y \ 1,y). [para(2475(a,1),140(a,2,1))]. 2492 (x * K(y \ 1,y)) * L(z,x,K(y \ 1,y)) = K(y \ 1,y) * (x * z). [para(2475(a,1),102(a,1,1))]. 2493 T(x * K(y \ 1,y),y) = K(y \ 1,y) * T(x,y). [para(2475(a,1),2050(a,1,1))]. 2494 K(x \ 1,x) * y != z | z * K(x,x \ 1) = y. [para(2475(a,2),2329(a,1))]. 2495 K(x \ 1,x) * (y * K(x,x \ 1)) != z | z = y. [para(2475(a,2),2333(a,1))]. 2496 (1 / x) * (y * K(x \ 1,x)) = (x \ 1) * y. [para(2475(a,1),2417(a,1,2))]. 2497 x \ (y * K(x \ 1,x)) = T(x,x \ 1) \ y. [para(2475(a,1),2453(a,1,2))]. 2498 ((x \ 1) \ 1) * (y * K(x \ 1,x)) = x * y. [para(2475(a,1),2455(a,1,2))]. 2499 x * K(y \ 1,y) != z | K(y,y \ 1) * z = x. [para(2475(a,1),2441(a,1))]. 2500 K(x,x \ 1) * (y * x) = y * T(x,x \ 1). [hyper(2336,a,2479,a),flip(a)]. 2501 K(x,x \ 1) * (y * x) = y * ((x \ 1) \ 1). [hyper(2334,a,2479,a),flip(a)]. 2502 K(x,x \ 1) * y = y * K(x,x \ 1). [hyper(2329,a,2479,a),flip(a)]. 2503 R((K(x,x \ 1) * y) / z,z,K(x \ 1,x)) = y / (z * K(x \ 1,x)). [para(2479(a,1),111(a,2,1))]. 2504 (x * (T(x,y) / x)) * K(x \ 1,x) = T(1 / (1 / x),y). [para(1617(a,1),2479(a,1,1))]. 2505 (K(x,x \ 1) * y) * x = y * ((x \ 1) \ 1). [para(2479(a,1),2317(a,1,1)),flip(a)]. 2506 K(x \ 1,x) * y != z | y * K(x \ 1,x) = z. [para(2480(a,1),2449(a,1,2)),flip(b)]. 2507 ((x \ 1) * y) * K(x,x \ 1) = (1 / x) * y. [hyper(20,a,2378,a,b,2481,a)]. 2508 ((1 / x) \ y) * K(x,x \ 1) = (x \ 1) \ y. [hyper(20,a,2376,a,b,2481,a)]. 2509 L((x * K(y,y \ 1)) \ z,x * K(y,y \ 1),K(y \ 1,y)) = x \ (K(y \ 1,y) * z). [para(2481(a,1),104(a,2,1))]. 2510 (x \ 1) * (y * K(x,x \ 1)) = (1 / x) * y. [para(2481(a,1),2417(a,1,2)),flip(a)]. 2511 x * K(y,y \ 1) != z | K(y \ 1,y) * z = x. [para(2486(a,1),23(a,1)),flip(a)]. 2512 (x / y) * ((y \ 1) \ 1) = K(y,y \ 1) * x. [hyper(189,a,2257,a,b,2502,a),flip(a)]. 2513 T(x,K(y,y \ 1)) = x. [hyper(149,a,2502,a)]. 2514 T(K(x,x \ 1),y) = K(x,x \ 1). [hyper(147,a,2502,a,b,xx)]. 2515 (x * K(y,y \ 1)) \ ((T(x,K(y,y \ 1)) * z) * K(y,y \ 1)) = L(z,T(x,K(y,y \ 1)),K(y,y \ 1)). [hyper(75,a,2502,a(flip),b,353,a)]. 2518 (K(x,x \ 1) * y) * x = y * T(x,x \ 1). [para(2502(a,2),2261(a,1,1))]. 2519 T(x * y,K(z,z \ 1)) != y * u | T(x,y) = u. [para(2513(a,2),148(a,2)),flip(a)]. 2520 K(x,x \ 1) * y != z | y * K(x,x \ 1) = z. [para(2513(a,1),205(a,1,2))]. 2521 T(x,K(y \ z,z \ y)) = x. [para(1992(a,1),2513(a,1,2))]. 2522 K(x \ y,y \ x) * z = z * K(x \ y,y \ x). [hyper(1882,a,2521,a),flip(a)]. 2523 x * K(y,y \ 1) != z | K(y,y \ 1) * x = z. [para(2514(a,1),205(a,1,2))]. 2524 ((x * y) * K(z,z \ 1)) / (K(z,z \ 1) * y) = R(x,y,T(K(z,z \ 1),y)). [para(2514(a,1),156(a,1,1,2))]. 2525 T(x,T(x,y) \ 1) = x * K(x,x \ 1). [para(2514(a,1),1808(a,1,2)),flip(a)]. 2527 T(x,T(x,y) \ 1) = (x \ 1) \ 1. [hyper(189,a,1761,a(flip),b,2525,a)]. 2528 T(x,T(x,y) \ 1) = T(x,x \ 1). [hyper(189,a,1754,a(flip),b,2525,a)]. 2530 (T(x,y) \ x) / ((x \ 1) \ 1) = T(x,y) \ 1. [para(2527(a,1),992(a,1,2))]. 2531 ((1 / (1 / x)) * y) * (1 / x) = (x * y) * (x \ 1). [para(2488(a,1),2284(a,1,1))]. 2534 ((1 / x) \ y) * (1 / x) = ((x \ 1) \ y) * (x \ 1). [para(2490(a,1),2284(a,1,1))]. 2536 ((x \ 1) \ 1) \ (x * y) = y * K(x \ 1,x). [hyper(80,a,2498,a)]. 2537 K(x,x \ 1) * (((x \ y) / y) * x) != z | x * ((x \ y) / y) = z. [para(2500(a,2),1757(a,1))]. 2538 (((x \ 1) \ 1) \ y) * ((x \ 1) \ 1) = (x \ y) * x. [para(2415(a,1),2505(a,1,1)),flip(a)]. 2539 ((1 / (1 / x)) \ y) * x = (x \ y) * ((x \ 1) \ 1). [para(2421(a,1),2505(a,1,1))]. 2540 (T(x,y) \ 1) * T(x,x \ 1) = T(x,y) \ x. [para(2530(a,1),530(a,1,1))]. 2542 ((x \ 1) \ 1) \ y != z | (x \ y) * K(x \ 1,x) = z. [para(2445(a,1),2506(a,1))]. 2543 1 / (x \ ((y \ 1) \ x)) = (x \ ((1 / y) \ x)) \ 1. [para(2469(a,1),2114(a,1,2))]. 2544 K(L(x,y,z) \ 1,L(x,y,z)) * (x / L(x,y,z)) = x * T(L(x,y,z) \ 1,x). [para(1269(a,1),2485(a,2,2))]. 2546 K(x \ y,y \ x) * x = y * (1 / (1 / (y \ x))). [hyper(189,a,2206,a(flip),b,2522,a)]. 2548 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ (1 / (1 / x))) * y) * (1 / x). [para(213(a,1),2531(a,1,1)),flip(a)]. 2549 (((x \ 1) \ 1) \ y) * ((x \ 1) \ 1) != y * z | K(x \ y,x) = z. [para(2538(a,2),334(a,1))]. 2550 (x \ ((1 / (1 / y)) \ x)) \ 1 = 1 / (x \ (y \ x)). [para(69(a,1),2543(a,1,2,2,1)),flip(a)]. 2551 x * (1 / (1 / (x \ y))) != z * y | K(y \ x,x \ y) = z. [para(2546(a,1),23(a,1))]. 2552 1 / (1 / (x \ (y \ x))) = x \ ((1 / (1 / y)) \ x). [para(2550(a,1),67(a,1,2))]. 2553 x * (1 / (1 / (x \ (y \ x)))) != z * u | ((1 / (1 / y)) \ x) / u = z. [para(2552(a,2),298(a,1,2))]. 2554 L(x,1 / y,y) = L(x,y \ 1,y). [hyper(1548,a,2422,a)]. 2555 L(x,(y \ 1) \ 1,y \ 1) = L(x,y,y \ 1). [para(67(a,1),2554(a,1,2)),flip(a)]. 2556 L(((x \ 1) \ 1) \ y,x,x \ 1) = (x \ 1) * y. [hyper(367,a,2555,a),flip(a)]. 2557 L(x,y,z) * L(L(x,y,z) \ 1,x,x \ 1) = L(x * (1 / (1 / (x \ 1))),y,z). [para(2555(a,1),2158(a,1,2))]. 2558 L(x * K(y \ 1,y),y,y \ 1) = (y \ 1) * (y * x). [para(2536(a,1),2556(a,1,1))]. 2560 L((x \ 1) * ((1 / x) \ y),x,x \ 1) = (x \ 1) * (x * y). [para(2487(a,2),2558(a,1,1))]. 2561 R(x \ 1,x,y) = ((y / (x * y)) \ 1) \ 1. [hyper(2343,a,2352,a)]. 2562 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(2385(a,2),1921(a,1,1))]. 2563 K(x \ 1,x) \ (x * y) = (((y / (x * y)) \ 1) \ 1) \ y. [para(2341(a,1),2423(a,1,1))]. 2565 R(x \ 1,x,y) \ y = K(x \ 1,x) \ (x * y). [para(2561(a,2),2563(a,2,1)),flip(a)]. 2566 R(x \ 1,x,y) \ y = ((x \ 1) \ 1) * y. [hyper(189,a,2448,a(flip),b,2565,a)]. 2567 R(x \ 1,x,y) \ y = T(x,x \ 1) * y. [hyper(189,a,219,a,b,2566,a)]. 2568 R(x,1 / x,y) \ y = (((1 / x) \ 1) \ 1) * y. [para(69(a,1),2566(a,1,1,1))]. 2569 (((x / (y * x)) \ 1) \ 1) \ x = T(y,y \ 1) * x. [para(2561(a,1),2567(a,1,1))]. 2570 R(x,1 / x,y) \ y = (x \ 1) * y. [para(69(a,1),2568(a,2,1,1))]. 2571 R(x,1 / x,y) = y / ((x \ 1) * y). [para(2570(a,1),67(a,1,2)),flip(a)]. 2572 R(x,1 / x,y) = R(x,x \ 1,y). [hyper(189,a,139,a,b,2571,a)]. 2573 R(x \ 1,(x \ 1) \ 1,y) = R(x \ 1,x,y). [para(67(a,1),2572(a,1,2)),flip(a)]. 2574 L(R(x,x \ 1,y),x \ 1,x) = R(1 / (1 / x),1 / x,y). [para(2572(a,1),475(a,1,1))]. 2575 T(x / y,(x / y) \ 1) * y = (((y / x) \ 1) \ 1) \ y. [para(19(a,1),2569(a,1,1,1,1,2)),flip(a)]. 2576 (((x / y) \ 1) \ 1) \ x = (((y / x) \ 1) \ 1) * x. [hyper(551,a,2575,a),flip(a)]. 2577 (((x / y) \ 1) \ 1) \ x = x * (((x \ y) \ 1) \ 1). [hyper(189,a,2103,a(flip),b,2576,a)]. 2578 ((x * y) * z) * (((((x * y) * z) \ (y * z)) \ 1) \ 1) = ((R(x,y,z) \ 1) \ 1) \ ((x * y) * z). [para(33(a,2),2577(a,1,1,1,1)),flip(a)]. 2579 L(T(x,y) / x,x,y) = K(1 / (1 / x),y). [para(792(a,1),2309(a,1,1))]. 2580 K(1 / (1 / x),y) = (x * K(x,y)) / x. [hyper(189,a,676,a(flip),b,2579,a(flip))]. 2581 T(K(1 / (1 / x),y),x) = K(x,y). [para(2580(a,2),142(a,1,1))]. 2582 T(K(1 / (x \ 1),y),T(x,x \ 1)) = K(T(x,x \ 1),y). [para(174(a,1),2581(a,1,1,1,2))]. 2583 T(K(x,y),T(x,x \ 1)) = K(T(x,x \ 1),y). [para(67(a,1),2582(a,1,1,1))]. 2584 K(T(x,x \ 1),y) = T(K(x,y),x). [hyper(189,a,2061,a(flip),b,2583,a(flip))]. 2585 T(K(x,y),x) = K((x \ 1) \ 1,y). [para(114(a,1),2584(a,1,1)),flip(a)]. 2586 x * K((x \ 1) \ 1,y) = K(x,y) * x. [para(2585(a,1),113(a,1,2))]. 2587 R(1 / (1 / (1 / x)),x,y) = 1 / (1 / R(1 / x,x,y)). [hyper(1561,a,2363,a)]. 2589 T(R(1 / (1 / (1 / x)),x,y),x * y) = T(1 / (1 / (y / (x * y))),x * y). [para(2587(a,2),2027(a,1,1))]. 2591 R(1 / (1 / x),1 / x,y) = R(1 / (1 / x),x \ 1,y). [hyper(189,a,475,a(flip),b,2574,a(flip))]. 2592 R(1 / (1 / x),x \ 1,(1 / x) \ y) = ((1 / x) \ y) / y. [hyper(741,a,2591,a),flip(a)]. 2593 ((1 / x) \ y) \ (y * R(1 / (1 / x),x \ 1,(1 / x) \ y)) = K(y,((1 / x) \ y) / y). [para(2592(a,2),98(a,1,2,2))]. 2594 x / ((L(y \ 1,y,x) \ 1) \ 1) = x * T(y,y \ 1). [para(2307(a,1),634(a,1,2))]. 2595 T(K(x,y),L(x \ 1,x,y) \ 1) = K(y \ (y * T(x,x \ 1)),y). [para(2594(a,1),1380(a,2,1,2))]. 2596 (1 / (1 / x)) * (y / (y * x)) = (y / (y * x)) * x. [hyper(21,a,2531,a,b,2351,a),flip(a)]. 2597 T(1 / (1 / x),y / (y * x)) = x. [hyper(147,a,2596,a,b,xx)]. 2599 T(1 / (1 / x),(y / x) / y) = x. [para(19(a,1),2597(a,1,2,2))]. 2600 (1 / (1 / x)) \ (((y / x) / y) * x) = (y / x) / y. [para(2599(a,1),144(a,1,2,2))]. 2601 (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(1420(a,2),2600(a,1,2))]. 2602 R(x,(y \ 1) \ 1,T(y \ 1,y)) = R(x,y,y \ 1). [para(67(a,1),2356(a,2,2))]. 2603 R(x,T(y,y \ 1),T(y \ 1,y)) = R(x,y,y \ 1). [para(114(a,2),2602(a,1,2))]. 2604 (1 / x) \ (x * (T(x,y) \ (1 / x))) = (x \ T(x,y)) \ 1. [para(2414(a,1),2432(a,1,2))]. 2605 L(x,K(y \ 1,y),T(y,z)) = x. [hyper(346,a,2468,a)]. 2606 R(x,y,1 / y) / (1 / y) = x * (y * K(y \ 1,y)). [para(69(a,1),2278(a,1,1,2))]. 2607 R(x,y,y \ 1) / (1 / y) = x * (y * K(y \ 1,y)). [para(2270(a,1),2606(a,1,1))]. 2608 R(x,y,y \ 1) / (1 / y) = x * (1 / (1 / y)). [para(474(a,1),2607(a,2,2))]. 2609 (x * (1 / (1 / y))) * K(y,y \ 1) = x * y. [para(2608(a,1),2339(a,1,1))]. 2610 K(x,x \ 1) * (y * (1 / (1 / x))) = y * x. [hyper(2523,a,2609,a)]. 2611 (x * y) * K(y \ 1,y) = x * (1 / (1 / y)). [hyper(2331,a,2609,a)]. 2612 (x / (1 / (1 / y))) * y = x * K(y,y \ 1). [hyper(252,a,2609,a),flip(a)]. 2613 (x * y) \ (x * (1 / (1 / y))) = K(y \ 1,y). [para(2609(a,1),2326(a,1,1))]. 2614 R(T(x / (1 / (1 / y)),y * z),y,z) = (y * z) \ ((x * K(y,y \ 1)) * z). [para(2612(a,1),507(a,1,2,1)),flip(a)]. 2615 L(K(x \ 1,x),x,y) = K(x \ 1,x). [hyper(647,a,2613,a)]. 2616 K((x * y) \ x,x \ (x * y)) = K(y \ 1,y). [hyper(189,a,2214,a(flip),b,2615,a(flip)),flip(a)]. 2618 K((x * y) \ x,y) = K(y \ 1,y). [para(16(a,1),2616(a,1,2))]. 2619 K((x \ y) \ 1,x \ y) = K(y \ x,x \ y). [para(17(a,1),2618(a,1,1,1)),flip(a)]. 2620 K(T(x,y) \ 1,T(x,y)) = K((x * y) \ y,T(x,y)). [para(113(a,1),2618(a,1,1,1)),flip(a)]. 2621 x * K(y \ x,x \ y) = y * (((y \ x) \ 1) \ 1). [para(2619(a,1),1998(a,1,2))]. 2622 ((x \ y) * z) * K(y \ x,x \ y) = (1 / (1 / (x \ y))) * z. [para(2619(a,1),2488(a,1,2))]. 2623 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(1463(a,1),2620(a,2,1,1))]. 2624 K(x \ y,y \ x) * y = x * (((x \ y) \ 1) \ 1). [hyper(189,a,2522,a,b,2621,a(flip)),flip(a)]. 2625 ((x \ (x / y)) * z) * K(y,y \ 1) = (1 / (1 / (x \ (x / y)))) * z. [para(2211(a,1),2622(a,1,2))]. 2626 T(x,y) * ((1 / x) * (T(x,y) \ x)) = T(x * ((1 / x) * 1),y). [para(2388(a,1),2392(a,1,2))]. 2627 T(x,y) * ((1 / x) * (T(x,y) \ x)) = T(x * (1 / x),y). [para(15(a,1),2626(a,2,1,2))]. 2628 T(x,y) * ((1 / x) * (T(x,y) \ x)) = T(K(x,x \ 1),y). [para(1535(a,2),2627(a,2,1))]. 2629 T(x,y) \ K(x,x \ 1) = (1 / x) * (T(x,y) \ x). [hyper(75,a,2514,a(flip),b,2628,a)]. 2630 (x \ 1) \ ((x \ y) / y) != z | x * ((x \ y) / y) = z. [para(2436(a,1),2537(a,1))]. 2631 T(K(x,y),L(x \ 1,x,y) \ 1) = K(T(x,x \ 1),y). [hyper(189,a,1215,a(flip),b,2595,a)]. 2633 T(K(x,y),L(x \ 1,x,y) \ 1) = K((x \ 1) \ 1,y). [para(114(a,1),2631(a,2,1))]. 2634 T(K(x,y),((y * x) \ y) \ 1) = K((x \ 1) \ 1,y). [para(140(a,1),2633(a,1,2,1))]. 2635 (((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)) = K((y \ 1) \ 1,x). [hyper(2080,a,2634,a)]. 2636 (x \ 1) * (x * T(x \ 1,y)) = T(x \ 1,y). [hyper(147,a,2496,a(flip),b,2285,a),flip(a)]. 2638 (x \ 1) \ T(x \ 1,y) = x * T(x \ 1,y). [hyper(80,a,2636,a)]. 2641 K(x \ (x / y),x) = (y \ 1) \ T(y \ 1,x). [hyper(189,a,886,a,b,2638,a),flip(a)]. 2642 T(x,T(x \ 1,y)) = (x \ 1) \ 1. [hyper(147,a,2638,a(flip),b,773,a)]. 2643 L(x * T(x \ 1,y),x \ 1,y) = K(x \ 1,y). [para(2638(a,1),584(a,2,1)),flip(a)]. 2645 T(x,T(x \ 1,y)) = T(x,x \ 1). [hyper(189,a,114,a,b,2642,a)]. 2647 K(1 / x,y) = K(x \ 1,y). [hyper(189,a,2308,a(flip),b,2643,a(flip)),flip(a)]. 2648 K((x \ 1) \ 1,y) = K(x,y). [para(67(a,1),2647(a,1,1)),flip(a)]. 2649 T(K(x,y),x) = K(x,y). [hyper(189,a,2585,a,b,2648,a(flip)),flip(a)]. 2650 K(x,y) * x = x * K(x,y). [para(2648(a,1),2586(a,1,2)),flip(a)]. 2651 T(x,K(x,y)) = x. [hyper(38,a,2649,a)]. 2652 (x * K(x,y)) / x = K(x,y). [para(2649(a,1),143(a,1,1,2))]. 2653 R(K(x,y),z,u) * x = x * R(K(x,y),z,u). [para(2649(a,1),160(a,1,2,1)),flip(a)]. 2654 K(x,y) * x != z | x * K(x,y) = z. [para(2651(a,1),205(a,1,2))]. 2655 T(x,y) * K(x,z) = K(x,z) * T(x,y). [para(2651(a,1),158(a,1,2,1)),flip(a)]. 2656 T((x * y) / x,K(y,z)) = (x * y) / x. [para(2651(a,1),330(a,1,1,2)),flip(a)]. 2657 K(x,y) * R(x,z,u) != w | R(x,z,u) * K(x,y) = w. [para(2651(a,1),304(a,1,2,1))]. 2658 T(K(x,y),x) != z | K(x,y) = z. [para(2652(a,1),242(a,1,1)),flip(b)]. 2659 K((x \ 1) \ 1,y) != z | K(x,y) = z. [para(2585(a,1),2658(a,1))]. 2662 T(K(x,y),T(x,z)) = K(x,y). [hyper(148,a,2655,a)]. 2664 T(x,y) * K(x,z) != u | K(x,z) * T(x,y) = u. [para(2662(a,1),205(a,1,2))]. 2665 T(K(x,y),(z * x) / z) = K(x,y). [hyper(38,a,2656,a)]. 2666 T(x,R(K(x,y),z,u)) = x. [hyper(148,a,2653,a)]. 2667 K(x,R(K(x,y),z,u)) = 1. [hyper(39,a,2666,a)]. 2668 ((x \ (x / (y \ 1))) * z) * K(y \ 1,y) = (1 / (1 / (x \ (x / (y \ 1))))) * z. [para(1538(a,1),2625(a,1,2))]. 2669 (((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)) = K(y,x). [hyper(189,a,2648,a(flip),b,2635,a)]. 2670 T(x * y,K(y,y \ 1)) = y * T(x,(y \ 1) \ 1). [hyper(2259,a,2397,a)]. 2671 T(x,(y \ 1) \ 1) = T(x,y). [hyper(2519,a,2670,a),flip(a)]. 2672 T(x,1 / y) = T(x,y \ 1). [para(69(a,1),2671(a,1,2,1)),flip(a)]. 2673 T(x,T(y,y \ 1)) = T(x,y). [para(114(a,2),2671(a,1,2))]. 2674 T(x,1 / (1 / y)) = T(x,y). [para(134(a,1),2671(a,1,2)),flip(a)]. 2675 T(x,T(y \ 1,y)) = T(x,y \ 1). [para(627(a,2),2671(a,1,2))]. 2676 T(x,T((y \ 1) \ 1,z)) = T(x,T(y,z)). [para(2095(a,1),2671(a,1,2))]. 2677 T(x,T(1 / y,z)) = T(x,T(y \ 1,z)). [para(2096(a,1),2671(a,1,2)),flip(a)]. 2678 T(x,R(y \ 1,y,z)) = T(x,z / (y * z)). [para(2561(a,2),2671(a,1,2))]. 2680 T(((1 / x) * y) * x,x \ 1) = R(y,1 / x,x). [hyper(189,a,739,a(flip),b,2672,a(flip))]. 2681 (1 / x) * T(y,x \ 1) = y * (1 / x). [para(2672(a,1),113(a,1,2))]. 2682 ((1 / x) \ (y / x)) * (1 / x) = T(y,x \ 1) / x. [para(2672(a,1),804(a,2,1))]. 2685 T(x,x \ 1) * T(y,x) = y * T(x,x \ 1). [para(2673(a,1),113(a,1,2))]. 2686 ((x \ 1) \ 1) * T(y,x) = y * T(x,x \ 1). [para(2673(a,1),524(a,1,2))]. 2687 T(x,T(1 / x,y)) = T(x,x \ 1). [hyper(189,a,2645,a(flip),b,2677,a)]. 2688 T(x,x \ 1) * T(x \ 1,y) = x * T(1 / x,y). [para(2687(a,1),1310(a,1,1))]. 2689 R(T(x,x \ 1),y,z) \ R(x,y,z) = (R(x,y,z) \ (R(x,y,z) / x)) * x. [para(2687(a,1),2017(a,1,1,1))]. 2690 (1 / x) * T(y,x \ 1) = y * (1 \ (1 / x)). [para(58(a,2),2681(a,2,2))]. 2691 (1 / (1 / x)) * (x \ y) = (y / x) * (1 / (1 / x)). [para(497(a,1),2681(a,1,2))]. 2692 T(x,R(1 / y,y,z)) = T(x,R(y \ 1,y,z)). [para(141(a,2),2678(a,2,2)),flip(a)]. 2694 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = R((x \ 1) * T(x,x \ 1),y,z). [para(2685(a,1),2141(a,2,1))]. 2695 (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(2686(a,2),447(a,2,1))]. 2696 T(x,R(y \ 1,(y \ 1) \ 1,z)) = T(x,R(1 / y,y,z)). [para(2573(a,2),2692(a,2,2)),flip(a)]. 2697 T((K(x,x \ 1) * y) * x,x \ 1) = R((x \ 1) \ y,1 / x,x). [para(2427(a,1),2680(a,1,1,1))]. 2698 T(x,(y \ x) \ 1) / (y \ x) = ((1 / (y \ x)) \ y) * (1 / (y \ x)). [para(67(a,1),2682(a,1,1,2)),flip(a)]. 2699 ((x \ 1) \ 1) * T(x \ 1,y) = x * T(1 / x,y). [hyper(551,a,2688,a)]. 2700 (x * T(1 / x,y)) \ (((x \ 1) \ 1) * (T(x \ 1,y) * z)) = L(z,T(x \ 1,y),(x \ 1) \ 1). [para(2688(a,1),528(a,1,1))]. 2702 T(x,R(y \ 1,(y \ 1) \ 1,x)) = (y * ((x * (y \ 1)) / x)) * x. [hyper(189,a,1304,a,b,2696,a)]. 2703 T(x * T(y,y \ 1),y \ 1) = R((y \ 1) \ x,1 / y,y). [para(2518(a,1),2697(a,1,1))]. 2704 T(x,R((y \ x) \ 1,((y \ x) \ 1) \ 1,x)) = K(x,y / x) * x. [para(1321(a,1),2702(a,2,1))]. 2705 T(x,R((y \ x) \ 1,((y \ x) \ 1) \ 1,x)) != z | x * K(x,y / x) = z. [para(2704(a,2),2654(a,1))]. 2706 ((1 / (1 / x)) \ y) / y = 1 / (1 / ((x \ y) / y)). [hyper(2553,a,2105,a(flip))]. 2707 1 / (1 / (((x \ 1) \ y) / y)) = ((1 / x) \ y) / y. [para(67(a,1),2706(a,1,1,1,2)),flip(a)]. 2708 L(K(x,x \ 1) * y,z,u) * K(x \ 1,x) = (x \ L(x * (y / x),z,u)) * x. [para(2512(a,1),2337(a,1,1,1))]. 2709 ((x / y) * (y / x)) * ((x / y) \ 1) = y / x. [hyper(189,a,1734,a(flip),b,2350,a)]. 2710 ((x \ y) / y) * (y / (x \ y)) = x / (((x \ y) / y) \ 1). [hyper(76,a,67,a(flip),b,2709,a),flip(a)]. 2711 x / (((x \ y) / y) \ 1) = ((x \ y) / y) * x. [para(67(a,1),2710(a,1,2)),flip(a)]. 2712 ((x \ y) / y) * R(((x \ y) / y) \ (((x \ y) / y) * x),z,u) = R(x,z,u) / (((x \ y) / y) \ 1). [para(2711(a,1),1222(a,1,2,1,2))]. 2713 R(T(x,x \ 1),y,z) \ R(x,y,z) = T(1 / x,R(x,y,z)) * x. [para(877(a,1),2689(a,2,1))]. 2715 R(T(x,x \ 1),y,z) \ R(x,y,z) != u | x * T(x \ 1,R(x,y,z)) = u. [para(2713(a,2),544(a,1))]. 2716 T(1 / (1 / (x / (y * x))),y * x) = R(T(1 / (1 / (1 / y)),y * x),y,x). [hyper(189,a,45,a,b,2589,a(flip))]. 2717 T(1 / (1 / (x / (y * x))),y * x) = (y * x) \ ((1 * K(y,y \ 1)) * x). [hyper(189,a,2614,a(flip),b,2716,a)]. 2718 T(1 / (1 / (x / (y * x))),y * x) = (y * x) \ (K(y,y \ 1) * x). [para(14(a,1),2717(a,2,2,1))]. 2719 (x * y) \ (K(x,x \ 1) * y) = 1 / (1 / ((x * y) \ y)). [hyper(2118,a,2718,a),flip(a)]. 2720 (x * y) * (1 / (1 / ((x * y) \ y))) = K(x,x \ 1) * y. [para(2719(a,1),17(a,1,2))]. 2721 K(x \ (y * x),(y * x) \ x) = K(y,y \ 1). [hyper(2551,a,2720,a)]. 2722 K(T(x,y),(x * y) \ y) = K(x,x \ 1). [para(35(a,2),2721(a,1,1))]. 2723 K(T(x,y),T(x,y) \ 1) = K(x,x \ 1). [hyper(189,a,1993,a,b,2722,a(flip)),flip(a)]. 2725 T(x,y) \ K(x,x \ 1) = 1 / T(x,y). [hyper(75,a,2723,a(flip),b,1535,a(flip))]. 2726 (T(x,y) \ 1) * K(x,x \ 1) = 1 / T(x,y). [para(2723(a,1),1541(a,1,2))]. 2727 x * (T(x,y) \ (1 / x)) = 1 / T(x,y). [hyper(1542,a,2725,a)]. 2728 (1 / x) \ (1 / T(x,y)) = T(x,y) \ x. [hyper(75,a,2725,a(flip),b,2629,a(flip))]. 2729 (1 / x) \ (1 / T(x,y)) = (x \ T(x,y)) \ 1. [para(2727(a,1),2604(a,1,2))]. 2730 K(x \ 1,x) * (1 / T(x,y)) = T(x,y) \ 1. [hyper(2511,a,2726,a)]. 2731 (1 / T(x,y)) * K(x \ 1,x) = T(x,y) \ 1. [hyper(2331,a,2726,a)]. 2732 (x \ T(x,y)) \ 1 = T(x,y) \ x. [hyper(189,a,2728,a(flip),b,2729,a(flip))]. 2733 (x \ 1) \ (T(x,y) \ 1) = T(x,y) \ x. [hyper(2066,a,2732,a)]. 2734 (R(x,y,z) \ R(T(x,u),y,z)) \ 1 = T(R(x,y,z),u) \ R(x,y,z). [para(45(a,2),2732(a,1,1,2))]. 2735 T(x / y,y) \ (x / y) = ((x / y) \ (y \ x)) \ 1. [para(115(a,1),2732(a,1,1,2)),flip(a)]. 2736 T(x,R(y,x,(y * x) \ x)) \ x = (x \ (x * K(x,y))) \ 1. [para(1407(a,1),2732(a,1,1,2)),flip(a)]. 2737 (x * T(x \ 1,y)) \ 1 = T(x \ 1,y) \ (x \ 1). [para(2638(a,1),2732(a,1,1))]. 2738 (x \ 1) * (T(x,y) \ x) = T(x,y) \ 1. [para(2733(a,1),17(a,1,2))]. 2739 K(T(x,y) \ 1,T(x,y)) = K(x \ 1,x). [hyper(1828,a,2730,a)]. 2740 x \ (x / T(x,y)) = T(x,y) \ 1. [hyper(189,a,2463,a(flip),b,2730,a(flip)),flip(a)]. 2741 x * (T(x,y) \ 1) = x / T(x,y). [para(2740(a,1),17(a,1,2))]. 2742 x / T(x,y) = T(x,y) \ x. [hyper(989,a,2741,a),flip(a)]. 2743 (1 / T(x,y)) * x = T(x,y) \ x. [hyper(1501,a,2742,a)]. 2744 K(x \ (x / ((y \ x) / T(x,y))),x) = T(x,y) \ x. [hyper(189,a,1632,a,b,2742,a(flip)),flip(a)]. 2745 (T(x,y) \ x) * T(x,y) = x. [para(2742(a,1),19(a,1,1))]. 2746 (T(x,y) \ x) \ x = T(x,y). [para(2742(a,1),69(a,1,1))]. 2748 (T(x,y) \ x) * x = x * (T(x,y) \ x). [para(2742(a,1),1507(a,1,1))]. 2749 L(x,T(x,y) \ x,x) = x. [hyper(189,a,1874,a,b,2745,a(flip)),flip(a)]. 2751 (x * y) * T(K(y,x),x) = y * x. [para(2749(a,1),1873(a,1,2)),flip(a)]. 2752 T(K(x,y),y) = K(x,y). [hyper(215,a,2751,a),flip(a)]. 2753 T(x,K(y,x)) = x. [hyper(38,a,2752,a)]. 2754 K(x,y) * y = y * K(x,y). [para(2752(a,1),113(a,1,2)),flip(a)]. 2755 (x * K(y,x)) / x = K(y,x). [para(2752(a,1),143(a,1,1,2))]. 2757 (x * K(y,x)) / x != z | K(y,x) = z. [para(2752(a,1),250(a,1,1,2)),flip(b)]. 2758 L(K(x,y),z,u) * y = y * L(K(x,y),z,u). [para(2752(a,1),159(a,1,2,1)),flip(a)]. 2759 T(x,y) * K(z,x) = K(z,x) * T(x,y). [para(2753(a,1),158(a,1,2,1)),flip(a)]. 2760 K(x,y) * T(y,z) != u | T(y,z) * K(x,y) = u. [para(2753(a,1),302(a,1,2,1))]. 2761 T(x,y * T(y \ 1,x)) = x. [para(886(a,1),2753(a,1,2))]. 2762 T(x,y \ T(y,x)) = x. [para(890(a,1),2753(a,1,2))]. 2763 T(x,x \ ((y * x) / y)) = x. [para(1472(a,1),2753(a,1,2))]. 2764 x * ((K(x,y) \ y) * K(x,y)) = (y * x) * K(x,y). [para(2753(a,1),1970(a,1,1,1)),flip(a)]. 2765 (x * K(y,x)) * (x \ T(x,z)) = K(y,x) * T(x,z). [para(2753(a,1),2069(a,1,2,1)),flip(a)]. 2766 T(x \ T(x,y),y) = x \ T(x,y). [hyper(38,a,2762,a)]. 2767 (x \ T(x,y)) * y = y * (x \ T(x,y)). [para(2762(a,1),113(a,1,2))]. 2768 (x \ T(x,y)) * T(y,z) != u | T(y,z) * (x \ T(x,y)) = u. [para(2762(a,1),302(a,1,2,1))]. 2769 R(x,K(y,z),z) * (z * K(y,z)) = (x * K(y,z)) * z. [para(2754(a,1),110(a,1,2))]. 2770 (x * y) \ ((x * K(z,x)) * y) = R(T(K(z,x),x * y),x,y). [para(2754(a,1),507(a,1,2,1))]. 2771 L((T(x,y) * (x \ y)) / y,y,x) = K(T(x,y),y). [hyper(189,a,986,a,b,2755,a(flip)),flip(a)]. 2772 T(x * T(x \ 1,y),y) = x * T(x \ 1,y). [hyper(38,a,2761,a)]. 2773 ((x * y) / x) / y = y \ ((x * y) / x). [para(2763(a,1),174(a,1,2))]. 2774 K((x * y) \ y,T(x,y)) = K(x \ 1,x). [hyper(189,a,2620,a(flip),b,2739,a(flip)),flip(a)]. 2775 K(x \ 1,x) / T(x,y) = T(x,y) \ 1. [hyper(76,a,2739,a(flip),b,165,a(flip))]. 2776 T(x,y) * K(x \ 1,x) = T(1 / (1 / x),y). [para(2739(a,1),2099(a,1,2))]. 2777 L(x,K(y \ 1,y),T(T(y,z),u)) = x. [para(2739(a,1),2605(a,1,2))]. 2778 (x * T(y,z)) / T(T(y,y \ 1),z) = x * K(y \ 1,y). [para(2739(a,1),2318(a,2,2))]. 2779 R(T(x,y),x \ 1,x) * (((x \ 1) * x) * z) = ((x \ T(x,y)) * x) * z. [para(2777(a,1),2139(a,1,2)),flip(a)]. 2780 (x * (T(x,y) \ x)) \ ((T(x,y) \ x) * z) = L(x \ z,x,T(x,y) \ x). [para(2748(a,1),104(a,2,1)),flip(a)]. 2781 T(K(x,y),T(y,z)) = K(x,y). [hyper(148,a,2759,a)]. 2782 K(K(x,y),T(y,z)) = 1. [hyper(39,a,2781,a)]. 2783 K(x \ T(x,y),T(y,z)) = 1. [para(890(a,1),2782(a,1,1))]. 2784 T(x \ T(x,y),T(y,z)) = x \ T(x,y). [hyper(40,a,2783,a)]. 2785 x * (T(x,y) \ (y * (x \ T(x,y)))) = L(y,x \ T(x,y),x). [para(2767(a,1),1010(a,1,2,2))]. 2786 (1 / x) * ((y * x) / y) = x \ ((y * x) / y). [hyper(189,a,1110,a,b,2773,a(flip)),flip(a)]. 2787 x * (((y * x) / y) / x) = (y * x) / y. [para(2773(a,2),17(a,1,2))]. 2788 R(x,y,z) \ (((u / x) * R(x,y,z)) / (u / x)) = R(u / (u / x),y,z) / R(x,y,z). [para(678(a,1),2773(a,1,1)),flip(a)]. 2790 K((x * y) \ y,y \ (x * y)) = K(x \ 1,x). [para(35(a,1),2774(a,1,2))]. 2792 (x \ 1) * (x * ((y * (x \ 1)) / y)) = (y * (x \ 1)) / y. [para(1111(a,1),2787(a,1,2))]. 2793 x * ((1 / T(x,y)) * K(x \ 1,x)) = T(x,y) \ x. [para(2731(a,2),987(a,1,2))]. 2794 T(x,L(K(y,x),z,u)) = x. [hyper(148,a,2758,a)]. 2795 x * ((y \ (x \ y)) * y) = y * (x * T(x \ 1,y)). [para(2772(a,1),1158(a,1,2)),flip(a)]. 2796 x * (T(x,y) / x) = T(x,y). [hyper(21,a,2504,a,b,2776,a),flip(a)]. 2798 T(x,y) / x = x \ T(x,y). [hyper(80,a,2796,a),flip(a)]. 2799 (x \ T(x,y)) * x = T(x,y). [para(2796(a,1),70(a,1,1,2))]. 2800 x \ T(x,R(y,y \ 1,x)) = y \ ((x * y) / x). [hyper(1300,a,2798,a),flip(a)]. 2801 (1 / x) * T((1 / x) \ 1,y) = x \ T(x,y). [hyper(1226,a,2798,a)]. 2802 (1 / x) * T(x,y) = x \ T(x,y). [hyper(189,a,793,a,b,2798,a(flip)),flip(a)]. 2803 (x \ T(x,y)) * x != z | T(x,y) = z. [para(2798(a,1),200(a,1,1)),flip(b)]. 2804 R(x \ T(x,y),x,z) = (T(x,y) * z) / (x * z). [para(2798(a,1),111(a,1,1))]. 2805 R((x / y) \ T(x / y,z),x / y,y) = (T(x / y,z) * y) / x. [para(2798(a,1),391(a,1,1))]. 2806 R((1 / x) * ((y * x) / y),x,x \ y) = (1 / x) * ((y \ T(y,x)) * x). [para(2798(a,1),1227(a,2,2,1))]. 2807 (x \ T(x,y)) / (y \ 1) = y * (T(x,y) / x). [para(2798(a,1),1865(a,1,1))]. 2808 (x * (y \ T(y,x))) \ (x * z) = x * ((x * (T(y,x) / y)) \ z). [para(2798(a,1),1965(a,1,1,2))]. 2809 T(x,x \ T(x,y)) = x. [hyper(227,a,2799,a)]. 2810 T(x,R(1 / y,y,x)) = T(x,x / (x * y)). [hyper(189,a,1403,a,b,2799,a(flip)),flip(a)]. 2811 T(x,y) \ ((x \ T(x,y)) * (x * z)) = L(z,x,x \ T(x,y)). [para(2799(a,1),31(a,2,1)),flip(a)]. 2812 (x \ ((x \ y) \ y)) * x = T(x,x \ y). [para(114(a,1),2799(a,1,1,2))]. 2813 T(x,y) * L(z,x,x \ T(x,y)) = (x \ T(x,y)) * (x * z). [para(2799(a,1),102(a,1,1))]. 2814 (T(x,y) * z) / (x * z) != u | R(x \ T(x,y),x,z) = u. [para(2799(a,1),385(a,1,1,1))]. 2815 K(x,x \ T(x,y)) = 1. [hyper(39,a,2809,a)]. 2816 T(x,y) * (x \ T(x,z)) = (x \ T(x,z)) * T(x,y). [para(2809(a,1),158(a,1,2,1)),flip(a)]. 2817 T(x,K(y \ (y / (x \ 1)),y)) = x. [para(890(a,2),2809(a,1,2))]. 2818 K(x,T(x,y) / x) = 1. [para(2798(a,2),2815(a,1,2))]. 2819 T(1 / x,T(x,y)) = x \ 1. [hyper(75,a,2818,a(flip),b,1064,a),flip(a)]. 2820 L(x \ 1,x,y \ ((x * y) / x)) = x \ 1. [hyper(189,a,1302,a(flip),b,2819,a(flip)),flip(a)]. 2821 T(x \ 1,T(x,y)) = T(x \ 1,x). [para(2819(a,1),161(a,1,1)),flip(a)]. 2822 T(x / (y * x),T(y,z)) = R(y \ 1,y,x). [para(2819(a,1),288(a,2,1))]. 2823 (((x * y) / x) \ y) \ y = (x * y) / x. [hyper(916,a,2817,a)]. 2824 K(T(x,y) \ (T(x,y) / T(x,z)),T(x,y)) = T(x * T(x \ 1,x),z). [para(2821(a,1),1374(a,1,1,2)),flip(a)]. 2826 (((x * y) / x) \ y) * ((x * y) / x) = y. [para(2823(a,1),17(a,1,2))]. 2827 (((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1)) \ (x \ 1) = (R(x,y,z) * (x \ 1)) / R(x,y,z). [para(867(a,1),2823(a,1,1,1,1))]. 2828 (((L(x,y,y \ 1) * y) / y) \ ((1 / y) * (x * y))) * ((y * ((1 / y) * (x * y))) / y) = (1 / y) * (x * y). [para(2382(a,1),2826(a,1,1,1,1))]. 2829 T(x,R(y \ 1,y,x)) = T(x,x / (x * y)). [hyper(189,a,2692,a(flip),b,2810,a(flip)),flip(a)]. 2832 L(x \ 1,x,T(y,x) \ y) = x \ 1. [para(143(a,1),2820(a,1,3,2))]. 2833 (x * y) * ((((x * y) \ y) \ 1) \ 1) = K(x \ 1,x) * y. [para(2790(a,1),2624(a,1,1)),flip(a)]. 2834 (x \ T(x,y)) / (y \ 1) = y * (x \ T(x,y)). [para(2798(a,1),2807(a,2,2))]. 2835 (x * (y \ T(y,x))) * (x \ 1) = y \ T(y,x). [para(2834(a,1),19(a,1,1))]. 2836 R(x,y,z) \ T(R(x,y,z),R(x \ 1,(x \ 1) \ 1,R(x,y,z))) = (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)). [para(867(a,1),2800(a,2,2,1))]. 2837 T(x,y \ ((x * y) / x)) = x. [para(2800(a,1),2809(a,1,2))]. 2838 T(x,T(y,x) \ y) = x. [para(143(a,1),2837(a,1,2,2))]. 2839 T(T(x,y) \ x,y) = T(x,y) \ x. [hyper(38,a,2838,a)]. 2840 (T(x,y) \ x) * y = y * (T(x,y) \ x). [para(2838(a,1),113(a,1,2))]. 2842 K(K(x,y),T(z,y) \ z) = 1. [para(2839(a,1),1955(a,1,2))]. 2843 K(x \ T(x,y),T(z,y) \ z) = 1. [para(890(a,1),2842(a,1,1))]. 2844 1 / (x \ T(x,y)) = (x \ T(x,y)) \ 1. [hyper(75,a,2843,a(flip),b,2000,a),flip(a)]. 2845 T(x,R(T(y,x),T(y,x) \ 1,x)) = x * (T(y,x) \ y). [hyper(189,a,1299,a,b,2840,a(flip)),flip(a)]. 2846 (x * ((x * (T(y,x) \ y)) \ x)) \ (x * x) = (T(y,x) \ y) * x. [para(2840(a,1),1702(a,1,1,2,1))]. 2847 1 / (x \ T(x,y)) = T(x,y) \ x. [hyper(189,a,2732,a(flip),b,2844,a)]. 2848 x * ((T(x,y) \ x) \ 1) = T(x,y). [para(2847(a,1),132(a,1,2,1))]. 2849 T(x,R(y,y \ 1,x)) \ x = 1 / (y \ ((x * y) / x)). [para(2800(a,1),2847(a,1,2)),flip(a)]. 2850 ((x / y) \ (y \ x)) \ 1 = (y \ x) \ (x / y). [para(115(a,1),2735(a,1,1)),flip(a)]. 2851 (x \ (x * y)) \ ((x * y) / x) = (((x * y) / x) \ y) \ 1. [para(16(a,1),2850(a,1,1,2)),flip(a)]. 2852 T(L(x \ 1,x,y) \ 1,y) \ (L(x \ 1,x,y) \ 1) = K(x,y) \ 1. [para(906(a,2),2737(a,1,1)),flip(a)]. 2853 T((x \ y) \ 1,z) \ ((x \ y) \ 1) = (x \ (y * T(y \ x,z))) \ 1. [para(1071(a,1),2737(a,1,1)),flip(a)]. 2854 T(x \ 1,T(x,y) \ x) = x \ 1. [para(2744(a,1),1842(a,1,2))]. 2855 R(K(x \ (x / ((y \ x) / T(x,y))),x),x \ 1,x) = ((1 / x) * (T(x,y) \ x)) * x. [para(2744(a,1),2277(a,1,1,2)),flip(a)]. 2856 T(T(x,y) \ x,x \ 1) = T(x,y) \ x. [hyper(38,a,2854,a)]. 2857 (K(x,y) \ y) * K(x,y) = y. [hyper(20,a,95,a(flip),b,2764,a)]. 2858 x / K(y,x) = K(y,x) \ x. [hyper(88,a,2857,a)]. 2859 R(K(x,y) \ y,K(x,y),z) = (y * z) / (K(x,y) * z). [para(2857(a,1),33(a,2,1,1))]. 2862 K(x,y) * (z * T(z \ L((y \ 1) \ z,y \ 1,y * K(x,y)),u)) = (K(x,y) * T(y,u)) * z. [para(2765(a,1),2229(a,2,1))]. 2863 (x * (1 / T(x,y))) * K(x \ 1,x) = T(x,y) \ x. [hyper(2354,a,2793,a)]. 2864 (x \ T(x,y)) * T(x,z) = T(x,y) * (x \ T(x,z)). [hyper(1061,a,2816,a),flip(a)]. 2865 (x \ 1) * (x * (1 / T(x,y))) = (1 / x) * (T(x,y) \ x). [para(2863(a,1),2496(a,1,2)),flip(a)]. 2866 (T(x,y) * T(x,z)) / ((x \ T(x,y)) * T(x,z)) = x. [para(2864(a,2),976(a,1,2))]. 2867 R(x,x \ T(x,y),T(x,z)) = x. [hyper(588,a,2866,a)]. 2868 L(x,x \ T(x,y),x) = x. [para(2867(a,1),1056(a,1,1))]. 2869 (x * T(y,z)) / T((y \ 1) \ 1,z) = x * K(y \ 1,y). [para(114(a,1),2778(a,1,2,1))]. 2872 (((x * y) / x) \ y) \ 1 = y \ ((x * y) / x). [para(16(a,1),2851(a,1,1)),flip(a)]. 2873 1 / (x \ ((y * x) / y)) = ((y * x) / y) \ x. [para(2872(a,1),67(a,1,2))]. 2874 T(x,R(y,y \ 1,x)) \ x = ((x * y) / x) \ y. [hyper(189,a,2849,a,b,2873,a(flip)),flip(a)]. 2875 T(x,R(y,y \ 1,x)) \ 1 = x \ (((x * y) / x) \ y). [hyper(75,a,2874,a(flip),b,987,a),flip(a)]. 2876 T(x,R(T(y,x),T(y,x) \ 1,x)) \ x = y \ T(y,x). [para(143(a,1),2874(a,2,1))]. 2877 T(x,x \ (((x * y) / x) \ y)) = T(x,x \ 1). [para(2875(a,1),2528(a,1,2))]. 2878 T(x,x \ (y \ T(y,x))) = T(x,x \ 1). [para(143(a,1),2877(a,1,2,2,1))]. 2879 T(x,x \ ((((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)))) = T(x,x \ 1). [para(900(a,1),2878(a,1,2,2,2))]. 2880 1 / T(x,R(T(y,x),T(y,x) \ 1,x)) = (y \ T(y,x)) / x. [hyper(76,a,2876,a(flip),b,2743,a),flip(a)]. 2881 (x * (T(y,x) \ y)) \ x = y \ T(y,x). [para(2845(a,1),2876(a,1,1))]. 2882 x / (y \ T(y,x)) = x * (T(y,x) \ y). [para(2881(a,1),67(a,1,2))]. 2883 x / ((((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x))) = x * (T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)). [para(900(a,1),2882(a,1,2,2))]. 2884 L((1 / T(x,y)) * x,x \ 1,x) = ((1 / x) * (T(x,y) \ x)) * x. [para(2865(a,1),1907(a,1,1)),flip(a)]. 2885 (x * K(y \ 1,y)) * T((y \ 1) \ 1,z) = x * T(y,z). [para(2869(a,1),19(a,1,1))]. 2886 T(x,R(y,x,(y * x) \ x)) \ x = K(x,y) \ 1. [para(16(a,1),2736(a,2,1))]. 2888 L(x * y,x \ T(x,z),x) = x * L(y,x,x \ T(x,z)). [para(2811(a,1),1010(a,1,2)),flip(a)]. 2889 x * L(x \ y,x,x \ T(x,z)) = L(y,x \ T(x,z),x). [para(17(a,1),2888(a,1,1)),flip(a)]. 2890 T(x * L(x \ ((y * z) / y),x,x \ T(x,y)),y) = (x \ T(x,y)) * (x * (T(x,y) \ z)). [hyper(189,a,1921,a,b,2813,a(flip)),flip(a)]. 2891 1 / (x * (T(y,x) \ y)) = (y \ T(y,x)) / x. [para(2845(a,1),2880(a,1,2))]. 2892 1 / (x * (T(y \ 1,x) \ (y \ 1))) = (y * T(y \ 1,x)) / x. [para(2638(a,1),2891(a,2,1))]. 2893 (x * (y \ T(y,x))) \ (x * z) = x * ((x * (y \ T(y,x))) \ z). [para(2798(a,1),2808(a,2,2,1,2))]. 2894 (x * ((x * (T(y,x) \ y)) \ x)) \ (x * x) = x * (T(y,x) \ y). [hyper(189,a,2840,a(flip),b,2846,a)]. 2896 (x * (y \ T(y,x))) \ (x * x) = x * (T(y,x) \ y). [para(2881(a,1),2894(a,1,1,2))]. 2897 (x * (y \ T(y,x))) \ x = T(y,x) \ y. [hyper(20,a,2893,a(flip),b,2896,a(flip)),flip(a)]. 2898 R((x / y) \ T(x / y,z),x / y,y) = (y * T(y \ x,z)) / x. [para(323(a,1),2805(a,2,1))]. 2899 ((1 / x) * (T(x,y) \ x)) * x = L(T(x,y) \ x,x \ 1,x). [para(2743(a,1),2884(a,1,1)),flip(a)]. 2900 (R(x,y,z) \ R(T(x,u),y,z)) \ 1 = R(T(x,u),y,z) \ R(x,y,z). [para(45(a,2),2734(a,2,1))]. 2901 K(T(1 / T(x,y),T(x,z)),T(x,z)) = T(x * T(x \ 1,x),y). [para(1022(a,1),2824(a,1,1))]. 2902 K(T(1 / T(x,y),T(x,z)),T(x,z)) = T((x \ 1) * x,y). [para(113(a,1),2901(a,2,1))]. 2903 K(T(1 / T(x,y),T(x,z)),T(x,z)) = K(x \ 1,x). [hyper(189,a,2476,a(flip),b,2902,a)]. 2905 T(1 / T(x,y),T(x,z)) = K(x \ 1,x) / T(x,y). [para(2903(a,1),1096(a,1,1)),flip(a)]. 2906 T(1 / T(x,y),T(x,z)) = T(x,y) \ 1. [hyper(189,a,2775,a(flip),b,2905,a)]. 2909 K(T(x,y) \ 1,T(x,z)) = K(x \ 1,x). [para(2906(a,1),2903(a,1,1))]. 2911 K(x \ 1,T(x,y)) = K(x \ 1,x). [para(112(a,1),2909(a,1,1,1))]. 2916 R(x \ T(x,y),K(x \ 1,x),z) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,T(x,y)) * z. [para(2911(a,1),816(a,1,1,2))]. 2917 L(x \ 1,x,K(y,x) \ 1) = x \ 1. [para(2852(a,1),2832(a,1,3))]. 2918 T(x,K(y,x) \ 1) = x. [para(2852(a,1),2838(a,1,2))]. 2919 (K(x,y) \ 1) * y = y * (K(x,y) \ 1). [para(2918(a,1),113(a,1,2))]. 2920 (x * (K(y,x) \ 1)) \ (K(y,x) \ 1) = L(x \ 1,x,K(y,x) \ 1). [para(2919(a,1),140(a,2,1)),flip(a)]. 2921 (x * (K(y,x) \ 1)) \ (K(y,x) \ 1) = x \ 1. [hyper(189,a,2917,a(flip),b,2920,a)]. 2923 R(T(x,x \ 1),y,z) \ R(x,y,z) = a(R(x,y,z),1 / x,x) \ 1. [para(742(a,1),2900(a,1,1)),flip(a)]. 2924 T(T(x,x \ 1),y) * (((x \ 1) * x) * z) = ((x \ T(x,y)) * x) * z. [para(1138(a,1),2779(a,1,1))]. 2925 T(T(x,x \ 1),y) * (K(x \ 1,x) * z) = ((x \ T(x,y)) * x) * z. [para(165(a,2),2924(a,1,2,1))]. 2926 R((1 / x) * ((y * x) / y),x,x \ y) = (1 / x) * (x * (y \ T(y,x))). [para(2767(a,1),2806(a,2,2))]. 2927 R((1 / x) * ((y * x) / y),x,x \ y) = L(y \ T(y,x),x,1 / x). [hyper(189,a,169,a(flip),b,2926,a)]. 2928 R(x \ ((y * x) / y),x,x \ y) = L(y \ T(y,x),x,1 / x). [para(2786(a,1),2927(a,1,1))]. 2929 T(T(x,y) / (y * (y \ x)),y) = L(x \ T(x,y),y,1 / y). [hyper(189,a,1034,a(flip),b,2928,a(flip)),flip(a)]. 2930 L(x \ T(x,y),y,1 / y) = T(T(x,y) / x,y). [para(17(a,1),2929(a,1,1,2)),flip(a)]. 2931 L(x \ T(x,y),y,1 / y) = T(x \ T(x,y),y). [para(2798(a,1),2930(a,2,1))]. 2932 L(x \ T(x,y),y,1 / y) = x \ T(x,y). [hyper(189,a,2766,a(flip),b,2931,a)]. 2933 (x \ T(x,y)) / (y * (x \ T(x,y))) = 1 / y. [hyper(76,a,2932,a(flip),b,169,a)]. 2934 R(1 / x,x,y \ T(y,x)) = 1 / x. [hyper(314,a,2933,a)]. 2935 R(1 / x,x,y * T(y \ 1,x)) = 1 / x. [para(765(a,1),2934(a,1,3))]. 2936 R(1 / x,x,K(y,x)) = 1 / x. [para(903(a,2),2935(a,1,3))]. 2937 K(x,y) / (y * K(x,y)) = 1 / y. [hyper(610,a,2936,a)]. 2938 (1 / x) \ K(y,x) = x * K(y,x). [para(2936(a,1),290(a,1,1))]. 2939 (x \ 1) * K(y,x \ 1) = x \ K(y,x \ 1). [para(67(a,1),2938(a,1,1)),flip(a)]. 2940 T(x,x \ K(y,x)) = T(x,x \ 1). [para(2669(a,1),2879(a,1,2,2))]. 2941 K(x,y) / T(y,y \ 1) = y \ K(x,y). [para(2940(a,1),174(a,1,2))]. 2942 (x \ K(y,x)) * K(x,x \ 1) = K(y,x) / x. [para(2941(a,1),2262(a,1,1))]. 2943 K(x,y) * K(y,y \ 1) = y * (K(x,y) / y). [para(2942(a,1),2035(a,1,2)),flip(a)]. 2944 (x \ 1) * (x * (K(y,x) / x)) = (1 / x) * K(y,x). [para(2943(a,1),2510(a,1,2))]. 2945 L(K(x,y),y \ 1,y) / y = (1 / y) * K(x,y). [hyper(189,a,1909,a(flip),b,2944,a(flip)),flip(a)]. 2946 K(x \ 1,x) * R(y * T(x,x \ 1),z,u) = (x \ R(x * y,z,u)) * x. [para(2500(a,1),2451(a,1,2,1))]. 2947 R((x \ (1 / (1 / y))) * x,1 / y,(1 / y) \ 1) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). [hyper(189,a,373,a,b,2548,a),flip(a)]. 2948 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(x * (1 / (1 / (x \ 1))),y,z). [para(2387(a,1),2557(a,1,2))]. 2949 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(x * (1 / x),y,z). [para(67(a,1),2948(a,2,1,2,2))]. 2950 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(K(x,x \ 1),y,z). [para(1535(a,2),2949(a,2,1))]. 2951 ((x \ (x / (y \ 1))) * z) * K(y \ 1,y) = (1 / ((x \ (x / (1 / y))) \ 1)) * z. [para(2298(a,1),2668(a,2,1,2))]. 2952 K(x \ 1,x) * L(K(x,x \ 1) * y,z,u) = (x \ L(x * (y / x),z,u)) * x. [hyper(2477,a,2708,a)]. 2953 ((x \ (x / (y \ 1))) * z) * K(y \ 1,y) = (x \ (x / (1 / y))) * z. [hyper(189,a,126,a(flip),b,2951,a)]. 2955 K(x \ 1,x) * L(y * K(x,x \ 1),z,u) = (x \ L(x * (y / x),z,u)) * x. [para(2502(a,1),2952(a,1,2,1))]. 2956 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = R(1,y,z). [para(145(a,1),2694(a,2,1))]. 2957 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = 1. [hyper(189,a,268,a(flip),b,2956,a)]. 2960 ((x \ R(x,y,z)) \ (x \ 1)) * (x \ R(x,y,z)) = (x \ 1) * 1. [para(2957(a,1),213(a,1,2)),flip(a)]. 2961 (x \ 1) / (x \ R(x,y,z)) = (x \ R(x,y,z)) \ (x \ 1). [hyper(76,a,15,a(flip),b,2960,a)]. 2962 (x \ R(x,y,z)) \ (x \ 1) = R(x,y,z) \ 1. [hyper(189,a,2227,a(flip),b,2961,a(flip))]. 2963 (x \ 1) \ (R(x,y,z) \ 1) = (x \ R(x,y,z)) \ 1. [hyper(75,a,2962,a(flip),b,1937,a)]. 2964 ((1 / x) \ R(1 / x,y,z)) \ x = R(1 / x,y,z) \ 1. [para(69(a,1),2962(a,1,2))]. 2965 (x * R(x \ 1,y,z)) \ x = R(1 / x,y,z) \ 1. [para(857(a,1),2964(a,1,1))]. 2966 R(1 / (1 / x),y,z) \ 1 = (R(x,y,z) / x) \ (1 / x). [para(915(a,1),2965(a,1,1)),flip(a)]. 2967 R(K(x \ (x / ((y \ x) / T(x,y))),x),x \ 1,x) = L(T(x,y) \ x,x \ 1,x). [hyper(189,a,2899,a(flip),b,2855,a)]. 2968 R(T(x,y) \ x,x \ 1,x) = L(T(x,y) \ x,x \ 1,x). [para(2744(a,1),2967(a,1,1))]. 2969 R(x / (x / y),z,u) / R(y,z,u) = R(y,z,u) \ R(x / (x / y),z,u). [para(678(a,1),2788(a,1,2)),flip(a)]. 2970 R(x,y,z) \ R(1 / (1 / x),y,z) = x * T(x \ 1,R(x,y,z)). [hyper(189,a,1367,a(flip),b,2969,a(flip))]. 2971 T(L((x * y) / x,z \ T(z,x),z),x) = (z \ T(z,x)) * (z * (T(z,x) \ y)). [para(2889(a,1),2890(a,1,1))]. 2972 L(x \ (x * y),z \ T(z,x),z) = (z \ T(z,x)) * (z * (T(z,x) \ y)). [hyper(674,a,2971,a)]. 2973 (x \ T(x,y)) * (x * (T(x,y) \ z)) = L(z,x \ T(x,y),x). [para(16(a,1),2972(a,1,1)),flip(a)]. 2974 (x \ T(x,y)) \ x = x * (T(x,y) \ x). [hyper(75,a,2868,a(flip),b,2973,a)]. 2975 (x \ T(x,y)) * T(y,T(x,y)) = L(y,x \ T(x,y),x). [para(1008(a,1),2973(a,1,2))]. 2976 x * (T(x,R(y,x,(y * x) \ x)) \ x) = (x \ (x * K(x,y))) \ x. [para(1407(a,1),2974(a,1,1,2)),flip(a)]. 2977 x * (T(x,R(y,y \ 1,x)) \ x) = (y \ ((x * y) / x)) \ x. [para(2800(a,1),2974(a,1,1)),flip(a)]. 2978 T(x,T(y,x)) * (y \ T(y,x)) = L(x,y \ T(y,x),y). [hyper(2768,a,2975,a)]. 2979 (x \ ((y * x) / y)) \ y = y * (((y * x) / y) \ x). [para(2874(a,1),2977(a,1,2)),flip(a)]. 2980 x * (((x * T(y,x)) / x) \ T(y,x)) = (T(y,x) \ y) \ x. [para(143(a,1),2979(a,1,1,2)),flip(a)]. 2981 (T(x,y) \ x) \ y = y * (x \ T(x,y)). [para(143(a,1),2980(a,1,2,1)),flip(a)]. 2982 (T(x,y) \ x) * (y * (x \ T(x,y))) = y. [para(2981(a,1),17(a,1,2))]. 2983 x * (T(x,R(y,x,(y * x) \ x)) \ x) = K(x,y) \ x. [para(16(a,1),2976(a,2,1))]. 2985 x * (K(x,y) \ 1) = K(x,y) \ x. [para(2886(a,1),2983(a,1,2))]. 2987 K(T(x,y),T(x,y) \ 1) * (((1 / T(x,y)) \ 1) \ z) = T(1 / (1 / x),y) \ z. [para(1536(a,1),2406(a,1,1))]. 2989 K(x,x \ 1) * (((1 / T(x,y)) \ 1) \ z) = T(1 / (1 / x),y) \ z. [para(2723(a,1),2987(a,1,1))]. 2990 K(x,x \ 1) * (T(x,y) \ z) = T(1 / (1 / x),y) \ z. [para(69(a,1),2989(a,1,2,1))]. 2992 (T(x,y) \ z) * K(x,x \ 1) = T(1 / (1 / x),y) \ z. [hyper(2520,a,2990,a)]. 2994 (T(x \ 1,y) \ z) * K(x \ 1,x) = T(1 / (1 / (x \ 1)),y) \ z. [para(1538(a,1),2992(a,1,2))]. 2995 (T(x \ 1,y) \ z) * K(x \ 1,x) = T(1 / x,y) \ z. [para(67(a,1),2994(a,2,1,1,2))]. 2996 K(x \ 1,x) * (T(x \ 1,y) \ z) = T(1 / x,y) \ z. [hyper(2477,a,2995,a)]. 2997 T(1 / x,y) \ (T(x \ 1,y) * z) = K(x \ 1,x) * z. [para(16(a,1),2996(a,1,2)),flip(a)]. 2998 T(1 / x,y) * (K(x \ 1,x) * z) = T(x \ 1,y) * z. [para(2997(a,1),17(a,1,2))]. 2999 T(1 / x,y) * ((1 / x) \ z) = T(x \ 1,y) * ((x \ 1) \ z). [para(2376(a,1),2998(a,1,2))]. 3000 (1 / x) * (T(x \ 1,y) * ((x \ 1) \ z)) = T(1 / x,y) * z. [para(2999(a,1),974(a,1,2))]. 3001 T(x \ 1,y) * ((x \ 1) \ (K(x,x \ 1) * z)) = T(1 / x,y) * ((x \ 1) \ z). [para(2426(a,1),2999(a,1,2)),flip(a)]. 3002 T(x \ 1,y) * ((((x \ 1) \ 1) \ 1) \ z) = T(1 / x,y) * ((x \ 1) \ z). [para(2464(a,1),3001(a,1,2))]. 3003 T(x \ 1,y) * (T(x \ 1,(x \ 1) \ 1) \ z) = T(1 / x,y) * ((x \ 1) \ z). [para(114(a,2),3002(a,1,2,1))]. 3004 T(T(x,x \ 1),y) * (K(x \ 1,x) * z) = K(x \ 1,x) * (T(T(x,x \ 1),y) * z). [hyper(189,a,2465,a(flip),b,2458,a(flip)),flip(a)]. 3005 K(x \ 1,x) * (T(T(x,x \ 1),y) * z) = ((x \ T(x,y)) * x) * z. [hyper(189,a,2925,a(flip),b,3004,a(flip))]. 3006 T(x,x \ 1) * (((x \ T(x,y)) * x) * z) = x * (T(T(x,x \ 1),y) * z). [para(3005(a,1),2454(a,1,2))]. 3007 T(x,x \ 1) * (T(x,y) * z) = x * (T(T(x,x \ 1),y) * z). [para(2799(a,1),3006(a,1,2,1))]. 3008 T(x,x \ 1) * (T(x,y) * z) = x * (T((x \ 1) \ 1,y) * z). [para(114(a,1),3007(a,2,2,1,1))]. 3009 (1 / x) * (T(((1 / x) \ 1) \ 1,y) * z) = (x \ 1) * (T(1 / x,y) * z). [para(497(a,1),3008(a,1,1)),flip(a)]. 3010 (1 / x) * (T(x \ 1,y) * z) = (x \ 1) * (T(1 / x,y) * z). [para(69(a,1),3009(a,1,2,1,1,1))]. 3011 K(x \ 1,x) * (T(1 / x,y) * z) = T(x \ 1,y) * z. [hyper(20,a,2417,a,b,3010,a),flip(a)]. 3012 (T(1 / x,y) * z) / (T(1 / x,y) * ((x \ 1) \ z)) = x \ 1. [hyper(76,a,3000,a(flip),b,3010,a(flip))]. 3013 ((x \ 1) \ 1) * (T(x \ 1,y) * z) = x * (T(1 / x,y) * z). [para(3011(a,1),2455(a,1,2))]. 3014 (((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1)) \ (x \ 1) = (x \ R(x,y,z)) / R(x,y,z). [para(867(a,1),2827(a,2,1))]. 3015 (x * T(1 / x,y)) \ (x * (T(1 / x,y) * z)) = L(z,T(x \ 1,y),(x \ 1) \ 1). [para(3013(a,1),2700(a,1,2))]. 3016 L(x,T(y \ 1,z),(y \ 1) \ 1) != u | L(x,T(1 / y,z),y) = u. [para(3015(a,1),355(a,1))]. 3017 K(T(x / y,T(y,x)) \ 1,T(x / y,T(y,x))) = K(x \ y,T(x / y,T(y,x))). [para(1030(a,1),2623(a,2,1))]. 3018 K(T(x / y,T(y,x)) \ 1,T(x / y,T(y,x))) = K(x \ y,y \ x). [hyper(189,a,2008,a(flip),b,3017,a)]. 3019 K((x / y) \ 1,x / y) = K(x \ y,y \ x). [hyper(189,a,2909,a(flip),b,3018,a(flip)),flip(a)]. 3021 K(x / y,y / x) = K(y \ x,x \ y). [hyper(189,a,2342,a(flip),b,3019,a(flip)),flip(a)]. 3022 K(x / y,(x / y) \ 1) = K(y \ x,x \ y). [hyper(2132,a,3021,a)]. 3023 K(x \ y,y \ x) * (y / x) = ((y / x) \ 1) \ 1. [para(3022(a,1),1540(a,1,1))]. 3024 K(((x * y) * z) \ (y * z),R(T(x,y * z),y,z)) * ((y * z) / ((x * y) * z)) = (((y * z) / ((x * y) * z)) \ 1) \ 1. [para(507(a,1),3023(a,1,1,2))]. 3025 R(x,y,z) / (((x \ u) / u) \ 1) = ((x \ u) / u) * R(x,y,z). [para(16(a,1),2712(a,1,2,1)),flip(a)]. 3026 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(3025(a,1),901(a,1,1,2))]. 3027 R((x \ (x / (1 / y))) * x,y \ 1,y) = (x * ((y \ 1) * T((y \ 1) \ 1,x))) * y. [para(2953(a,1),2357(a,1,1))]. 3028 R((x \ (x / (1 / y))) * x,y \ 1,y) = (x * (y \ T(y,x))) * y. [para(770(a,1),3027(a,2,1,2))]. 3029 R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)) = ((x * y) * (1 / z)) / (y * (1 / z)). [para(2263(a,1),2269(a,1,2)),flip(a)]. 3030 R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)) != u | R(x,y,1 / z) = u. [para(3029(a,2),385(a,1))]. 3031 R((1 / x) * T((1 / x) \ 1,y),K(x \ 1,x),z) = (1 / x) * T((1 / x) \ 1,y). [para(2400(a,1),2401(a,2,2,1,1))]. 3032 R((1 / x) * T((1 / x) \ 1,y),K(x \ 1,x),z) = x \ T(x,y). [hyper(189,a,2801,a(flip),b,3031,a)]. 3034 R(x \ T(x,y),K(x \ 1,x),z) = x \ T(x,y). [para(2801(a,1),3032(a,1,1))]. 3035 (x \ T(x,y)) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,T(x,y)) * z. [para(3034(a,1),2916(a,1,1))]. 3036 (x \ T(x,y)) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,x) * z. [para(2911(a,1),3035(a,2,1))]. 3038 (x \ T(x,y)) * (K(x \ 1,x) * z) = ((x \ 1) * T(x,y)) * z. [para(3036(a,1),17(a,1,2))]. 3040 (x \ T(x,y)) * (z * K(x \ 1,x)) = ((x \ 1) * T(x,y)) * z. [para(2475(a,1),3038(a,1,2))]. 3041 L(L(x,y,1 / z),(1 / z) * y,K(z \ 1,z)) = ((z \ 1) * y) \ ((z \ 1) * (y * x)). [para(2378(a,1),2409(a,1,2)),flip(a)]. 3042 L(L(x,y,1 / z),(1 / z) * y,K(z \ 1,z)) != u | L(x,y,z \ 1) = u. [para(3041(a,2),355(a,1))]. 3043 (x * K(y,y \ 1)) \ ((x * z) * K(y,y \ 1)) = L(z,T(x,K(y,y \ 1)),K(y,y \ 1)). [para(2513(a,1),2515(a,1,2,1,1))]. 3044 (L(x,y,y \ 1) \ ((1 / y) * (x * y))) * ((y * ((1 / y) * (x * y))) / y) = (1 / y) * (x * y). [para(18(a,1),2828(a,1,1,1))]. 3046 x * ((y * ((1 / y) * (z * y))) / y) != (1 / y) * (z * y) | L(z,y,y \ 1) \ ((1 / y) * (z * y)) = x. [para(3044(a,1),23(a,1)),flip(a)]. 3047 T((x \ 1) * (x * ((y * z) / y)),y) = T(1 / x,y) * L(T(1 / x,y) \ z,x \ 1,x). [para(2560(a,1),2562(a,1,1))]. 3048 R(x,y,z) \ T(R(x,y,z),R(1 / x,x,R(x,y,z))) = (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)). [para(2696(a,1),2836(a,1,2))]. 3049 R(x,y,z) \ R(T(x,R(1 / x,x,R(x,y,z))),y,z) = (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)). [para(45(a,2),3048(a,1,2))]. 3050 (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) = R(x,y,z) \ R(T(x,x \ 1),y,z). [para(1749(a,1),3049(a,1,2,1)),flip(a)]. 3051 (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) = a(R(x,y,z),1 / x,x). [hyper(189,a,742,a(flip),b,3050,a)]. 3053 x * ((x \ R(x,y,z)) / R(x,y,z)) = a(R(x,y,z),1 / x,x). [hyper(2630,a,3051,a)]. 3054 x * L(x \ 1,R(x,y,z),1 / x) = a(R(x,y,z),1 / x,x). [para(1671(a,2),3053(a,1,2))]. 3055 R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = R(a(R(x,y,z),1 / x,x),y,z). [para(3054(a,1),2240(a,1,1)),flip(a)]. 3056 x * (T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)) = x / K(y,x). [para(2669(a,1),2883(a,1,2)),flip(a)]. 3057 x * (T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)) = K(y,x) \ x. [hyper(189,a,2858,a(flip),b,3056,a)]. 3058 x * (((x * y) \ (x * T(x \ (x * y),x))) \ 1) = x / K(y,x). [para(2853(a,1),3056(a,1,2))]. 3059 x * (((x * y) \ (x * T(y,x))) \ 1) = x / K(y,x). [para(16(a,1),3058(a,1,2,1,2,2,1))]. 3060 x * (((x * y) \ (y * x)) \ 1) = x / K(y,x). [para(113(a,1),3059(a,1,2,1,2))]. 3061 x * (K(y,x) \ 1) = x / K(y,x). [para(29(a,2),3060(a,1,2,1))]. 3062 x * (K(y,x) \ 1) = K(y,x) \ x. [hyper(189,a,2858,a(flip),b,3061,a)]. 3063 x \ (K(y,x) \ x) = K(y,x) \ 1. [hyper(75,a,2858,a(flip),b,3061,a)]. 3065 (K(x,y) \ 1) \ (K(x,y) \ y) = y. [hyper(75,a,3062,a(flip),b,2919,a)]. 3066 K(x,y) \ y != y * z | K(x,y) \ 1 = z. [para(3062(a,1),22(a,1))]. 3067 R(x,K(y,x) \ 1,z) \ ((K(y,x) \ x) * z) = (K(y,x) \ 1) * z. [para(3062(a,1),133(a,1,2,1))]. 3068 (K(x,y) \ y) \ (K(x,y) \ 1) = y \ 1. [para(3062(a,1),2921(a,1,1))]. 3069 (x * K(y,x)) \ x = K(y,x) \ 1. [hyper(75,a,3065,a(flip),b,656,a(flip))]. 3070 (K(x,y) \ 1) * T(y,z) = K(x,y) \ T(y,z). [para(3065(a,1),771(a,1,2,1))]. 3071 (K(x,y) \ y) * (y \ 1) = K(x,y) \ 1. [para(3068(a,1),17(a,1,2))]. 3072 R(K(x,y) \ y,y \ 1,y) = (K(x,y) \ 1) * ((y \ 1) \ 1). [para(3071(a,1),2271(a,1,1)),flip(a)]. 3073 K(x,y) \ T(y,y \ z) = (K(x,y) \ 1) * ((y \ z) \ z). [hyper(189,a,220,a(flip),b,3070,a(flip))]. 3074 (K(x,y) \ 1) * ((y \ z) \ z) = K(x,y) \ ((y \ z) \ z). [hyper(189,a,318,a(flip),b,3073,a(flip))]. 3075 R(K(x,y) \ y,y \ 1,y) = K(x,y) \ ((y \ 1) \ 1). [hyper(189,a,3074,a(flip),b,3072,a)]. 3076 x * (K(x,y) * (K(x,y) \ ((y \ 1) \ 1))) = (T(y,y \ 1) * x) * K(x,y). [para(3075(a,1),2026(a,1,2,2))]. 3077 (((x * y) \ x) * T(((x * y) \ x) \ 1,x)) / x = 1 / (K(y,x) \ x). [para(3057(a,1),2892(a,1,2)),flip(a)]. 3078 1 / (K(x,y) \ y) = K(x,y) / y. [para(903(a,2),3077(a,1,1)),flip(a)]. 3079 (K(x,y) / y) \ 1 = K(x,y) \ y. [para(3078(a,1),69(a,1,1))]. 3080 K(x,y) = (T(y,y \ 1) * x) \ (x * ((y \ 1) \ 1)). [hyper(432,a,3076,a),flip(a)]. 3081 K(x,(y \ 1) \ 1) = K(x,y). [hyper(189,a,527,a(flip),b,3080,a),flip(a)]. 3083 K(x,1 / y) = K(x,y \ 1). [para(69(a,1),3081(a,1,2,1)),flip(a)]. 3084 K(x,1 / (1 / y)) = K(x,y). [para(134(a,1),3081(a,1,2)),flip(a)]. 3085 (((x \ 1) \ 1) \ y) * ((x \ 1) \ 1) = y * K(((x \ 1) \ 1) \ y,x). [para(3081(a,1),213(a,1,2)),flip(a)]. 3086 ((x \ 1) \ 1) * K(y,(x \ 1) \ 1) = (x \ 1) \ K(y,x). [para(3081(a,1),2939(a,2,2))]. 3088 x * ((x \ R(x,y,z)) / R(x,y,z)) = K(R(x,y,z),x \ 1). [hyper(189,a,1327,a,b,3083,a(flip)),flip(a)]. 3089 (x * ((1 / (1 / x)) * y)) \ ((x * y) * (1 / (1 / x))) = K(x * y,x). [hyper(189,a,1116,a,b,3084,a(flip)),flip(a)]. 3090 K(x,((1 / y) \ z) / z) = K(x,((y \ 1) \ z) / z). [para(2707(a,1),3084(a,1,2))]. 3091 ((1 / x) \ y) \ (y * R(1 / (1 / x),x \ 1,(1 / x) \ y)) = K(y,((x \ 1) \ y) / y). [hyper(189,a,2593,a,b,3090,a(flip)),flip(a)]. 3092 a(R(x,y,z),1 / x,x) = K(R(x,y,z),x \ 1). [hyper(189,a,3053,a(flip),b,3088,a(flip)),flip(a)]. 3093 R(K(R(x,y,z),x \ 1),y,z) = K(R(x,y,z),R(x,y,z) \ 1). [para(3088(a,1),2152(a,1,1))]. 3094 R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = R(K(R(x,y,z),x \ 1),y,z). [para(3092(a,1),3055(a,2,1))]. 3095 K(((x \ 1) \ 1) \ y,x) = K(x \ y,x). [hyper(2549,a,3085,a),flip(a)]. 3096 K(x \ ((1 / x) \ y),x) = K(x \ ((x \ 1) \ y),x). [para(2435(a,1),3095(a,1,1))]. 3097 ((1 / x) \ y) \ ((1 / x) \ T(y,x)) = K(x \ ((x \ 1) \ y),x). [hyper(189,a,781,a,b,3096,a(flip)),flip(a)]. 3098 (x * (y * (1 / (1 / x)))) \ ((x * T(y,1 / (1 / x))) * (1 / (1 / x))) = K(x * T(y,1 / (1 / x)),x). [para(113(a,1),3089(a,1,1,2))]. 3099 R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = K(R(x,y,z),R(x,y,z) \ 1). [hyper(189,a,3093,a(flip),b,3094,a)]. 3100 (R(x,y,z) / x) \ (1 / x) = 1 / R(x,y,z). [hyper(20,a,1535,a(flip),b,3099,a)]. 3101 R(1 / (1 / x),y,z) \ 1 = 1 / R(x,y,z). [hyper(189,a,2966,a,b,3100,a(flip)),flip(a)]. 3103 1 / R(x \ 1,y,z) = R(1 / x,y,z) \ 1. [para(67(a,1),3101(a,1,1,1,2)),flip(a)]. 3104 (R(1 / x,y,z) \ 1) \ 1 = R(x \ 1,y,z). [para(3103(a,1),69(a,1,1))]. 3105 R((x \ 1) \ 1,y,z) = (R(x,y,z) \ 1) \ 1. [para(67(a,1),3104(a,1,1,1,1)),flip(a)]. 3107 R(T(x,x \ 1),y,z) = (R(x,y,z) \ 1) \ 1. [hyper(189,a,835,a,b,3105,a(flip)),flip(a)]. 3108 R(((x / y) \ 1) \ 1,y,z) * (y * z) = (y * z) * ((((y * z) \ (x * z)) \ 1) \ 1). [para(3105(a,2),2115(a,1,1))]. 3109 (x * y) * ((((x * y) \ (z * y)) \ 1) \ 1) = ((((z / x) \ 1) \ 1) * x) * y. [hyper(204,a,3108,a),flip(a)]. 3110 (x * y) * ((((x * y) \ (z * y)) \ 1) \ 1) = (x * (((x \ z) \ 1) \ 1)) * y. [para(2103(a,1),3109(a,2,1))]. 3111 ((R(x,y,z) \ 1) \ 1) \ ((x * y) * z) = ((x * y) * ((((x * y) \ y) \ 1) \ 1)) * z. [hyper(189,a,2578,a(flip),b,3110,a(flip)),flip(a)]. 3112 ((R(x,y,z) \ 1) \ 1) \ ((x * y) * z) = (K(x \ 1,x) * y) * z. [para(2833(a,1),3111(a,2,1))]. 3113 ((R(x,y,z) \ 1) \ 1) \ ((x * y) * z) != u * z | K(x \ 1,x) * y = u. [para(3112(a,2),23(a,1))]. 3114 (x * (y * (1 / (1 / x)))) \ ((x * T(y,x)) * (1 / (1 / x))) = K(x * T(y,1 / (1 / x)),x). [para(2674(a,1),3098(a,1,2,1,2))]. 3115 (x * (y * (1 / (1 / x)))) \ ((y * x) * (1 / (1 / x))) = K(x * T(y,1 / (1 / x)),x). [para(113(a,1),3114(a,1,2,1))]. 3116 (x * (y * (1 / (1 / x)))) \ ((y * x) * (1 / (1 / x))) = K(x * T(y,x),x). [para(2674(a,1),3115(a,2,1,2))]. 3117 (x * (y * (1 / (1 / x)))) \ ((y * x) * (1 / (1 / x))) = K(y * x,x). [para(113(a,1),3116(a,2,1))]. 3118 K(x * L(y,y \ 1,y),y) = K(x * y,y). [hyper(189,a,1929,a(flip),b,3117,a(flip)),flip(a)]. 3119 K(x * (1 / (1 / y)),y) = K(x * y,y). [para(472(a,1),3118(a,1,1,2))]. 3120 K((1 / (1 / x)) * (x \ y),x) = K((y / x) * x,x). [para(2691(a,2),3119(a,1,1))]. 3121 K((1 / (1 / x)) * (x \ y),x) = K(y,x). [para(19(a,1),3120(a,2,1))]. 3122 K(K(x \ 1,x) * y,x) = K(y,x). [para(2460(a,1),3121(a,1,1))]. 3123 K(x * (1 / y),y) = K(x * (y \ 1),y). [para(2446(a,1),3122(a,1,1)),flip(a)]. 3124 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(632(a,1),2695(a,1,1))]. 3125 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(632(a,1),3124(a,1,2,3))]. 3126 T(((x \ 1) \ 1) * T(y,x),T(x,x \ 1) \ 1) = T(x \ 1,x) \ R(y,x,x \ 1). [para(2603(a,1),3125(a,1,2)),flip(a)]. 3127 T(x * T(y,y \ 1),T(y,y \ 1) \ 1) = T(y \ 1,y) \ R(x,y,y \ 1). [para(2686(a,1),3126(a,1,1))]. 3128 T(x * T(y,y \ 1),T(y \ 1,y)) = T(y \ 1,y) \ R(x,y,y \ 1). [para(632(a,1),3127(a,1,2))]. 3129 T(x \ 1,x) \ R(T(x,y) \ 1,x,x \ 1) = T(T(x,y) \ x,T(x,x \ 1) \ 1). [para(2540(a,1),3127(a,1,1)),flip(a)]. 3130 T(x \ 1,x) \ R(y,x,x \ 1) = T(y * T(x,x \ 1),x \ 1). [hyper(189,a,2675,a(flip),b,3128,a(flip))]. 3131 T(x \ 1,x) \ R(y,x,x \ 1) = R((x \ 1) \ y,1 / x,x). [hyper(189,a,2703,a(flip),b,3130,a)]. 3132 T(x \ 1,x) \ R(y,x,x \ 1) = R((x \ 1) \ y,x \ 1,x). [hyper(189,a,2275,a(flip),b,3131,a)]. 3133 R((x \ 1) \ (T(x,y) \ 1),x \ 1,x) = T(T(x,y) \ x,T(x,x \ 1) \ 1). [hyper(189,a,3132,a(flip),b,3129,a(flip)),flip(a)]. 3134 R((x \ 1) \ (T(x,y) \ 1),x \ 1,x) = T(T(x,y) \ x,T(x \ 1,x)). [para(632(a,1),3133(a,2,2))]. 3135 R((x \ 1) \ (T(x,y) \ 1),x \ 1,x) = T(T(x,y) \ x,x \ 1). [hyper(189,a,2675,a(flip),b,3134,a)]. 3136 R((x \ 1) \ (T(x,y) \ 1),x \ 1,x) = T(x,y) \ x. [hyper(189,a,2856,a(flip),b,3135,a)]. 3137 R(T(x,y) \ x,x \ 1,x) = T(x,y) \ x. [para(2733(a,1),3136(a,1,1))]. 3138 L(T(x,y) \ x,x \ 1,x) = T(x,y) \ x. [hyper(189,a,2968,a(flip),b,3137,a(flip)),flip(a)]. 3139 L(T(x,y) \ x,T(x,y),y) = L((x * y) \ (y * x),x \ 1,x). [para(3138(a,1),717(a,1,1))]. 3140 L((x * y) \ (y * x),x \ 1,x) = (x * y) \ (y * x). [hyper(189,a,365,a(flip),b,3139,a(flip))]. 3141 K(x,y) = L((y * x) \ (x * y),y \ 1,y). [hyper(189,a,29,a,b,3140,a),flip(a)]. 3142 L(K(x,y),y \ 1,y) = K(x,y). [para(29(a,2),3141(a,2,1)),flip(a)]. 3143 (1 / x) * K(y,x) = K(y,x) / x. [para(3142(a,1),2945(a,1,1)),flip(a)]. 3145 R((x \ (1 / (1 / y))) * x,1 / y,y) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). [para(69(a,1),2947(a,1,1,3))]. 3146 R((x \ (1 / (1 / y))) * x,y \ 1,y) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). [para(2275(a,1),3145(a,1,1))]. 3147 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(19(a,1),3026(a,1,1,2))]. 3149 ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1) = K(x \ 1,R(x,y,z)). [para(868(a,1),3147(a,1,1)),flip(a)]. 3151 K(x \ 1,R(x,y,z)) \ (x \ 1) = (x \ R(x,y,z)) / R(x,y,z). [para(3149(a,1),3014(a,1,1))]. 3152 (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) = K(x \ 1,R(x,y,z)) \ 1. [hyper(75,a,3151,a(flip),b,2985,a)]. 3153 x * ((x \ R(x,y,z)) / R(x,y,z)) = K(x \ 1,R(x,y,z)) \ 1. [hyper(2630,a,3152,a)]. 3154 K(x \ 1,R(x,y,z)) \ 1 = K(R(x,y,z),x \ 1). [hyper(189,a,3088,a(flip),b,3153,a(flip))]. 3155 K(R(x,y,z),x \ 1) \ 1 = K(x \ 1,R(x,y,z)). [para(3154(a,1),2003(a,1,1))]. 3156 a(R(x,y,z),1 / x,x) \ 1 = K(x \ 1,R(x,y,z)). [para(3092(a,2),3155(a,1,1))]. 3157 R(T(x,x \ 1),y,z) \ R(x,y,z) = K(x \ 1,R(x,y,z)). [hyper(189,a,2923,a,b,3156,a(flip)),flip(a)]. 3158 x * T(x \ 1,R(x,y,z)) = K(x \ 1,R(x,y,z)). [hyper(2715,a,3157,a)]. 3159 R(x,y,z) \ R(1 / (1 / x),y,z) = K(x \ 1,R(x,y,z)). [hyper(189,a,2970,a,b,3158,a(flip)),flip(a)]. 3160 K(R(x,y,z) \ 1,R(x,y,z)) * (y * z) = (K(x \ 1,R(x,y,z)) * y) * z. [para(3158(a,1),2016(a,2,1,1))]. 3161 (R(1 / (1 / x),y,z) \ 1) \ (R(x,y,z) \ 1) = K(x \ 1,R(x,y,z)). [hyper(189,a,2178,a,b,3159,a(flip)),flip(a)]. 3162 (1 / R(x,y,z)) \ (R(x,y,z) \ 1) = K(x \ 1,R(x,y,z)). [para(3101(a,1),3161(a,1,1))]. 3163 K(R(x,y,z) \ 1,R(x,y,z)) = K(x \ 1,R(x,y,z)). [hyper(1201,a,3162,a)]. 3164 K(x \ 1,R(x,y,z)) != u | K(R(x,y,z) \ 1,R(x,y,z)) = u. [para(3162(a,1),1201(a,1))]. 3165 R(x,y,z) * (1 / R(x,y,z)) = K(x \ 1,R(x,y,z)) \ 1. [para(3163(a,1),1545(a,1,1)),flip(a)]. 3166 R(x,y,z) * (1 / R(x,y,z)) = K(R(x,y,z),x \ 1). [hyper(189,a,3154,a(flip),b,3165,a)]. 3167 T(R(x,y,z),R(x,y,z) \ 1) \ ((x * y) * z) = (K(x \ 1,R(x,y,z)) * y) * z. [hyper(189,a,2466,a,b,3160,a(flip)),flip(a)]. 3168 (K(x \ 1,R(x,y,z)) * y) * z = K(x \ 1,R(x,y,z)) * (y * z). [para(3163(a,1),3160(a,1,1)),flip(a)]. 3169 L(x,y,K(z \ 1,R(z,y,x))) = x. [hyper(346,a,3168,a)]. 3170 ((R(x,y,z) \ 1) \ 1) \ ((x * y) * z) = (K(x \ 1,R(x,y,z)) * y) * z. [hyper(189,a,523,a(flip),b,3167,a(flip)),flip(a)]. 3171 K(x \ 1,R(x,y,z)) * y = K(x \ 1,x) * y. [hyper(3113,a,3170,a),flip(a)]. 3172 K(x \ 1,R(x,y,z)) = K(x \ 1,x). [hyper(23,a,3171,a)]. 3174 K(R(x,y,z) \ 1,R(x,y,z)) = K(x \ 1,x). [hyper(3164,a,3172,a)]. 3176 (x \ R(x,y,z)) * K(x \ 1,x) = (x \ 1) * R(x,y,z). [para(3172(a,1),871(a,1,2))]. 3178 L(x,y,K(z \ 1,z)) = x. [para(3172(a,1),3169(a,1,3))]. 3179 L(x,y,1 / z) = L(x,y,z \ 1). [hyper(3042,a,3178,a),flip(a)]. 3181 (x * K(y,y \ 1)) \ z = x \ (K(y \ 1,y) * z). [hyper(189,a,2509,a(flip),b,3178,a(flip))]. 3182 (x * K(y \ 1,y)) \ K(y \ 1,y) = x \ 1. [hyper(189,a,2491,a(flip),b,3178,a(flip)),flip(a)]. 3183 (K(x \ 1,x) * y) \ (K(x \ 1,x) * z) = y \ z. [hyper(189,a,104,a(flip),b,3178,a(flip)),flip(a)]. 3184 (K(x \ 1,x) * y) * z = K(x \ 1,x) * (y * z). [para(3178(a,1),102(a,1,2))]. 3185 (K(x \ 1,x) * y) / z = K(x \ 1,x) * (y / z). [para(3178(a,1),398(a,1,2))]. 3186 L(x,y,K(z,z \ 1)) = x. [para(1536(a,1),3178(a,1,3))]. 3187 (x * K(y \ 1,y)) * z = K(y \ 1,y) * (x * z). [para(3178(a,1),2492(a,1,2))]. 3190 L(x,y,K(z,z \ 1)) = u \ (u * x). [hyper(189,a,16,a,b,3186,a)]. 3191 (x * K(y,y \ 1)) \ ((x * z) * K(y,y \ 1)) = z. [hyper(189,a,3043,a,b,3186,a(flip)),flip(a)]. 3192 (K(x,x \ 1) * y) \ (K(x,x \ 1) * z) = y \ z. [hyper(189,a,104,a(flip),b,3186,a(flip)),flip(a)]. 3193 (K(x,x \ 1) * y) * z = K(x,x \ 1) * (y * z). [para(3186(a,1),102(a,1,2))]. 3194 K(x,x \ 1) * (1 / y) = K(x,x \ 1) / y. [para(3186(a,1),311(a,1,2)),flip(a)]. 3195 (K(x,x \ 1) * y) / z = K(x,x \ 1) * (y / z). [para(3186(a,1),398(a,1,2))]. 3196 ((x \ 1) \ 1) / (y \ x) = K(x,x \ 1) * y. [para(3186(a,1),1558(a,1,2))]. 3197 K(x,x \ 1) * ((x \ 1) / y) = (1 / x) / y. [para(3186(a,1),1574(a,1,2)),flip(a)]. 3198 L(x,y,y \ 1) \ ((1 / y) * (x * y)) = L(K(x,y),y * x,y \ 1). [hyper(189,a,2386,a,b,3179,a(flip)),flip(a)]. 3199 L(x,y,(z \ 1) \ 1) = L(x,y,z). [para(67(a,1),3179(a,1,3)),flip(a)]. 3200 L(x,T(1 / y,z),y) = L(x,T(y \ 1,z),y). [hyper(3016,a,3199,a)]. 3201 L(x,y,K(z,z \ 1)) != u | u = x. [para(3190(a,2),237(a,1))]. 3205 (x * K(y,y \ 1)) \ 1 = x \ K(y \ 1,y). [para(2322(a,1),3182(a,1,1)),flip(a)]. 3206 K(x,x \ 1) / y != z | (1 / y) * K(x,x \ 1) = z. [para(3194(a,1),2520(a,1))]. 3207 ((x \ 1) \ 1) / (y \ x) = y * K(x,x \ 1). [hyper(189,a,2502,a(flip),b,3196,a)]. 3209 ((x \ 1) / y) * K(x,x \ 1) = (1 / x) / y. [hyper(2520,a,3197,a)]. 3210 L(T(1 / x,y) \ z,T(x \ 1,y),x) = (x * T(1 / x,y)) \ (x * z). [hyper(189,a,104,a(flip),b,3200,a(flip))]. 3211 (x / y) * K(x,x \ 1) = ((x \ 1) \ 1) / y. [para(69(a,1),3207(a,1,2)),flip(a)]. 3212 (1 / x) / (y \ (x \ 1)) = y * K(x,x \ 1). [hyper(456,a,3209,a),flip(a)]. 3213 (1 / (x \ 1)) / T(y,y \ T(x,x \ 1)) = (y \ ((x \ 1) \ 1)) * K(x \ 1,(x \ 1) \ 1). [para(540(a,1),3209(a,1,1)),flip(a)]. 3214 (x * K(y,y \ 1)) \ (1 / y) = x \ (y \ 1). [para(3212(a,1),69(a,1,1))]. 3216 (K(x,x \ 1) * y) \ z = y \ (K(x \ 1,x) * z). [para(2502(a,2),3181(a,1,1))]. 3217 x \ (K(y \ 1,y) * (x * ((1 / y) * z))) != u | L((y \ 1) * z,K(y,y \ 1),x) = u. [para(3181(a,1),2431(a,1))]. 3218 (K(x \ 1,x) * y) \ z = y \ (z * K(x,x \ 1)). [para(2481(a,1),3183(a,1,2))]. 3220 ((K(x \ 1,x) * (y * z)) * u) / (z * u) = R(K(x \ 1,x) * y,z,u). [para(3184(a,1),33(a,2,1,1)),flip(a)]. 3221 K(x \ 1,x) * ((x \ y) * z) = (((x \ 1) \ 1) \ y) * z. [para(2445(a,1),3184(a,1,1)),flip(a)]. 3222 K(x \ 1,x) * ((y / (x \ 1)) * z) = (y / (1 / x)) * z. [para(2484(a,1),3184(a,1,1)),flip(a)]. 3224 T(K(x \ 1,x) * (y / z),z) = z \ (K(x \ 1,x) * y). [para(3185(a,1),115(a,1,1))]. 3225 K(x \ 1,x) * (x / y) = (1 / (1 / x)) / y. [para(1145(a,1),3185(a,1,1)),flip(a)]. 3226 (1 / (1 / x)) / T(y,y \ x) = K(x \ 1,x) * (y \ x). [para(174(a,1),3225(a,1,2)),flip(a)]. 3227 (x * K(y \ 1,y)) * z = (x * z) * K(y \ 1,y). [hyper(189,a,2475,a(flip),b,3187,a)]. 3228 (x * (y * K(z \ 1,z))) \ (x * (K(z \ 1,z) * (y * u))) != w | L(u,y * K(z \ 1,z),x) = w. [para(3187(a,1),355(a,1,2,2))]. 3229 (K(x \ 1,x) * (y * ((1 / x) * z))) / ((x \ 1) * z) = R(y,K(x \ 1,x),(1 / x) * z). [para(3187(a,1),2408(a,1,1))]. 3232 R(T(x,y * K(z,z \ 1)),y,K(z,z \ 1)) = T(x,y). [para(3191(a,1),832(a,1,1)),flip(a)]. 3234 (x * K(y \ 1,y)) \ z = x \ (K(y,y \ 1) * z). [para(2480(a,1),3192(a,1,1)),flip(a)]. 3235 (x * y) \ (K(y,y \ 1) * z) = (x * (1 / (1 / y))) \ z. [para(2610(a,1),3192(a,1,1))]. 3236 R(K(x,x \ 1),y,z) = K(x,x \ 1). [hyper(376,a,3193,a)]. 3237 x \ (K(y,y \ 1) * (z * x)) = T(K(y,y \ 1) * z,x). [hyper(147,a,3193,a,b,17,a),flip(a)]. 3239 (x * K(y,y \ 1)) * z = K(y,y \ 1) * (x * z). [para(2502(a,1),3193(a,1,1))]. 3240 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = K(x,x \ 1). [hyper(189,a,2239,a,b,3236,a(flip)),flip(a)]. 3241 (x * K(y,y \ 1)) / z = K(y,y \ 1) * (x / z). [para(2502(a,1),3195(a,1,1))]. 3242 R(K(x,x \ 1) * (y / z),z,K(x \ 1,x)) = y / (z * K(x \ 1,x)). [para(3195(a,1),2503(a,1,1))]. 3244 (x * K(y \ 1,y)) \ (z * K(y \ 1,y)) = x \ z. [hyper(75,a,91,a(flip),b,3227,a)]. 3245 (x * K(y \ 1,y)) * z != u | K(y \ 1,y) * (x * z) = u. [para(3227(a,2),2477(a,1))]. 3246 (x * K(y \ 1,y)) \ 1 = x \ K(y,y \ 1). [para(15(a,1),3234(a,2,2))]. 3247 (K(x,x \ 1) * (y * z)) / (K(x,x \ 1) * z) = R(y,K(x,x \ 1),z). [hyper(76,a,3239,a(flip),b,110,a)]. 3248 K(x,x \ 1) * ((y * z) / (K(x,x \ 1) * z)) = R(y,z,T(K(x,x \ 1),z)). [hyper(189,a,2524,a(flip),b,3241,a(flip))]. 3249 T(x,x \ y) = ((x \ y) * K(z \ 1,z)) \ (y * K(z \ 1,z)). [hyper(189,a,114,a,b,3244,a),flip(a)]. 3250 (1 / x) * R(x,y,z) = x \ R(x,y,z). [hyper(21,a,2489,a,b,3176,a),flip(a)]. 3252 R(x,y,z) / x = x \ R(x,y,z). [hyper(881,a,3250,a)]. 3253 (x \ R(x,y,z)) * x = R(x,y,z). [para(3250(a,1),869(a,1,1))]. 3254 R(x \ R(x,y,z),x,y * z) = ((x * y) * z) / (x * (y * z)). [para(3252(a,1),396(a,1,1))]. 3255 T(x,x \ R(x,y,z)) = x. [hyper(227,a,3253,a)]. 3256 (x / (1 / y)) * K(y,y \ 1) != z | x / (y \ 1) = z. [para(3222(a,1),2495(a,1)),flip(b)]. 3257 x * y != z | R(x,y,y \ 1) / (y \ 1) = z. [para(2339(a,1),3256(a,1))]. 3258 T((x \ 1) * (x * ((y * (x \ z)) / y)),y) = y \ (K(x \ 1,x) * (y * ((1 / x) * z))). [para(2419(a,1),3224(a,1,1))]. 3259 (x * (1 / (1 / y))) \ (y * z) = (x * y) \ (((y \ 1) \ 1) * z). [para(2365(a,1),3235(a,1,2)),flip(a)]. 3260 T(x,y) \ (K(z,z \ 1) * (x * y)) = T(K(z,z \ 1) * y,T(x,y)). [para(113(a,1),3237(a,1,2,2))]. 3263 (K(x \ 1,x) * ((y * z) * u)) / (z * u) = R(K(x \ 1,x) * y,z,u). [para(3184(a,1),3220(a,1,1))]. 3264 K(x,x \ 1) * ((y * z) / (K(x,x \ 1) * z)) = R(y,K(x,x \ 1),z). [hyper(189,a,3195,a(flip),b,3247,a(flip)),flip(a)]. 3265 K(x \ 1,x) * (((y * z) * u) / (z * u)) = R(K(x \ 1,x) * y,z,u). [hyper(189,a,3185,a(flip),b,3263,a(flip)),flip(a)]. 3266 R(K(x \ 1,x) * y,z,u) = K(x \ 1,x) * R(y,z,u). [para(33(a,2),3265(a,1,2)),flip(a)]. 3267 R(K(x \ 1,x) * (y * T(x,x \ 1)),z,u) = (x \ R(x * y,z,u)) * x. [hyper(189,a,2946,a(flip),b,3266,a)]. 3268 (x \ R(x * y,z,u)) * x = R(y * x,z,u). [para(2482(a,1),3267(a,1,1)),flip(a)]. 3269 R(x * y,z,u) / y = y \ R(y * x,z,u). [hyper(88,a,3268,a)]. 3270 R((x \ y) * x,z,u) = (x \ R(y,z,u)) * x. [para(17(a,1),3268(a,1,1,2,1)),flip(a)]. 3271 x \ R(x * (y / x),z,u) = R(y,z,u) / x. [para(19(a,1),3269(a,1,1,1)),flip(a)]. 3272 R((x \ (y / z)) * x,z,z \ 1) = (x \ (y * (z \ 1))) * x. [para(445(a,1),3270(a,2,1,2))]. 3273 R((x \ (y / (1 / z))) * x,z \ 1,z) = (x \ (y * z)) * x. [para(2276(a,1),3270(a,2,1,2))]. 3274 R(x * (y / x),z,u) = x * (R(y,z,u) / x). [para(3271(a,1),17(a,1,2)),flip(a)]. 3275 R((x \ 1) * (y / (x \ 1)),x,x \ 1) = (x \ 1) * (y * x). [para(373(a,1),3274(a,2,2))]. 3276 R(x * ((y / z) / x),z,y \ u) * (z * (y \ u)) = (x * ((u / (z * (y \ u))) / x)) * (z * (y \ u)). [para(3274(a,2),2137(a,1,1))]. 3277 (x \ (x * y)) * x = (x * (y \ T(y,x))) * y. [hyper(189,a,3028,a(flip),b,3273,a(flip))]. 3278 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ (1 * x)) * y) / ((1 / x) \ 1). [para(3273(a,1),3146(a,1,1)),flip(a)]. 3279 (x * (y \ T(y,x))) * y = y * x. [para(16(a,1),3277(a,1,1)),flip(a)]. 3280 x * (y \ T(y,x)) = (y * x) / y. [hyper(88,a,3279,a),flip(a)]. 3281 (x \ y) * (x \ T(x,x \ y)) = y / x. [hyper(76,a,17,a(flip),b,3279,a),flip(a)]. 3282 x \ ((y * x) / y) = y \ T(y,x). [hyper(80,a,3280,a)]. 3283 (x / y) \ T(x / y,y) = y \ (x / (x / y)). [hyper(75,a,185,a(flip),b,3280,a),flip(a)]. 3284 T(x,y) \ x = y \ T(y,T(x,y)). [hyper(75,a,143,a(flip),b,3280,a)]. 3285 x * ((y * (x \ 1)) / y) = y \ T(y,x \ 1). [hyper(20,a,2792,a,b,3280,a),flip(a)]. 3286 ((x * y) / x) / y = x \ T(x,y). [hyper(20,a,2787,a,b,3280,a),flip(a)]. 3287 (x * y) \ ((x * y) / x) = L(x \ 1,T(x,y),y). [para(3280(a,1),775(a,1,2))]. 3288 ((x \ 1) * y) / (x \ 1) = y * (x * T(x \ 1,y)). [para(2638(a,1),3280(a,1,2)),flip(a)]. 3289 ((x * y) / x) * (y \ 1) = x \ T(x,y). [para(3280(a,1),2835(a,1,1))]. 3290 ((x * y) / x) \ y = T(x,y) \ x. [para(3280(a,1),2897(a,1,1))]. 3291 (T(x,y) \ x) * ((x * y) / x) = y. [para(3280(a,1),2982(a,1,2))]. 3292 L(x \ T(x,y),y,x) = K(x,(x * y) / x). [para(3282(a,1),363(a,1,1))]. 3293 T(x,R(y,y \ 1,x)) = (x \ T(x,y)) * x. [para(3282(a,1),1297(a,1,1)),flip(a)]. 3294 R(T(x,y) \ x,y,z) = (T(y,T(x,y)) * z) / (y * z). [para(3284(a,2),2804(a,1,1))]. 3295 R(x \ T(x,y),y,z) \ (((x * y) / x) * z) = y * z. [para(3286(a,1),371(a,1,1,1))]. 3296 R(x \ T(x,y),y,((x * y) / x) \ z) \ z = y * (((x * y) / x) \ z). [para(3286(a,1),395(a,1,1,1))]. 3297 T(x,x \ y) \ x = (y / x) \ (x \ y). [para(17(a,1),3290(a,1,1,1)),flip(a)]. 3298 T(x,T(y,x)) \ x = y \ T(y,x). [para(143(a,1),3290(a,1,1)),flip(a)]. 3299 ((x * y) / x) * (y \ ((T(x,y) \ x) * z)) = L(z,((x * y) / x) \ y,(x * y) / x). [para(3290(a,1),1112(a,1,2,2,1))]. 3300 L(x,y,y \ 1) \ ((1 / y) * (x * y)) = T(y,(1 / y) * (x * y)) \ y. [hyper(3046,a,3291,a)]. 3301 T(x,T(y,x)) * (y \ T(y,x)) = x. [para(3298(a,1),17(a,1,2))]. 3302 (x \ T(x,y)) \ y = T(y,T(x,y)). [para(3298(a,1),2746(a,1,1))]. 3303 (x * (T(x,T(y,x)) \ x)) * y = y * x. [para(3298(a,2),3279(a,1,1,2))]. 3304 (x * y) / x = y * (T(y,T(x,y)) \ y). [para(3298(a,2),3280(a,1,2)),flip(a)]. 3305 L(x,y \ T(y,x),y) = x. [hyper(189,a,2978,a(flip),b,3301,a(flip)),flip(a)]. 3307 T(x,y) \ (y * (x \ T(x,y))) = x \ y. [hyper(75,a,3305,a(flip),b,2785,a),flip(a)]. 3308 (x * T(x \ 1,y)) \ y = T(y,T(x \ 1,y)). [para(2638(a,1),3302(a,1,1))]. 3309 (x \ y) * (x \ ((x \ y) \ y)) = y / x. [para(114(a,1),3281(a,1,2,2))]. 3310 (x \ T(x,y)) \ (((x * y) / x) * ((y \ 1) * z)) != u | L(z,y \ 1,(x * y) / x) = u. [para(3289(a,1),355(a,1,1))]. 3311 T(x * (T(x,T(y,x)) \ x),y) = x. [hyper(147,a,3303,a,b,xx)]. 3313 T(x,y) \ ((x * y) / x) = x \ y. [para(3280(a,1),3307(a,1,2))]. 3314 T(x / y,T(y,x)) = y \ x. [hyper(1469,a,3313,a)]. 3315 T(x,y) * (x \ y) = (x * y) / x. [para(3313(a,1),17(a,1,2))]. 3316 T(x,T(x \ y,y)) = (x \ y) \ y. [para(67(a,1),3314(a,1,1))]. 3317 T(x \ y,T(x,y)) = T(x \ y,x). [para(3314(a,1),161(a,1,1)),flip(a)]. 3318 x \ (y * T(y \ x,T(y,x))) = K(y \ x,T(y,x)). [para(3314(a,1),1628(a,1,1)),flip(a)]. 3319 T(x,x / (x / y)) = T(x,y). [hyper(21,a,1597,a,b,3315,a),flip(a)]. 3320 T(x,(y \ x) * y) * K(y \ x,y) = (x * ((y \ x) * y)) / x. [para(96(a,1),3315(a,1,2))]. 3321 ((x * y) / x) \ (T(x,y) * ((x \ y) * z)) != u | L(z,x \ y,T(x,y)) = u. [para(3315(a,1),355(a,1,1))]. 3322 T(x,y) * y = x * ((x * y) / x). [para(3315(a,1),974(a,1,2)),flip(a)]. 3323 L(((x * y) / x) / y,y,x) = K(T(x,y),y). [para(3315(a,1),2771(a,1,1,1))]. 3324 T(x,x / (1 / y)) = T(x,x * y). [hyper(189,a,1602,a(flip),b,3319,a(flip)),flip(a)]. 3325 (x / T(y,x)) * y = T(x,T(y,x)). [hyper(189,a,1057,a(flip),b,3319,a(flip)),flip(a)]. 3326 (x / y) \ T(x,y) = (x * y) / x. [hyper(75,a,3319,a(flip),b,1042,a)]. 3327 T(x,x / y) = T(x,y \ x). [para(67(a,1),3319(a,1,2,2))]. 3328 T(x,(y \ x) \ x) = T(x,y). [para(130(a,1),3319(a,1,2)),flip(a)]. 3329 T(x,T(y,x)) * (y * x) = x * (x * y). [para(3319(a,1),1500(a,1,1))]. 3330 x * ((y * (x \ y)) / y) = T(y,x \ y). [hyper(1041,a,3327,a)]. 3331 T(x,T(y,y \ x)) = T(x,y). [para(114(a,2),3328(a,1,2))]. 3332 T(x,T(x \ y,y)) = T(x,x \ y). [hyper(189,a,114,a,b,3316,a)]. 3333 T(x,y) * T(x \ y,x) = (x \ y) * T(x,y). [para(3317(a,1),113(a,1,2))]. 3335 x \ (y * T(y \ x,T(y,x))) != z | K(y \ x,y) = z. [para(3317(a,2),575(a,1,2,2))]. 3336 T(x,x \ y) * (x \ y) = x * (y / x). [para(17(a,1),3322(a,2,2,1))]. 3337 R(T(x,x * y),y,x) = (x / T(y,x)) * y. [para(3324(a,1),1513(a,1,1))]. 3338 ((x * y) * y) / (x * y) = x \ T(x * y,y). [para(18(a,1),3326(a,1,1)),flip(a)]. 3339 (x \ y) \ (y / x) != z | x \ ((x \ y) \ y) = z. [para(3309(a,1),237(a,1,2)),flip(b)]. 3341 T(x,y \ x) != z | T(x,x / y) = z. [para(3330(a,1),1044(a,1))]. 3342 T(x,x \ y) * y = x * (x * (y / x)). [para(3336(a,1),974(a,1,2)),flip(a)]. 3343 (x * (x * (T(y,z) / x))) / y = (T(x,x \ T(y,z)) / y) * T(y,z). [hyper(76,a,3342,a(flip),b,1461,a)]. 3344 K(x,y) = L(x \ T(x,T(y,x)),T(y,x),x). [para(143(a,1),3292(a,2,2)),flip(a)]. 3345 T(x,R(y,y \ 1,x)) = T(x,y). [hyper(189,a,2799,a(flip),b,3293,a)]. 3346 T(x,(y \ x) \ 1) = x * K(x,y / x). [hyper(2705,a,3345,a),flip(a)]. 3348 T(x,R(y \ 1,y,x)) = T(x,y \ 1). [para(2573(a,1),3345(a,1,2))]. 3349 T(x,(y \ x) \ 1) != z | x * K(x,y / x) = z. [para(3345(a,1),2705(a,1))]. 3350 T(x,x / (x * y)) = T(x,y \ 1). [hyper(189,a,2829,a(flip),b,3348,a(flip)),flip(a)]. 3351 T(x,x / (y * x)) = T(x,y \ 1). [hyper(189,a,2678,a(flip),b,3348,a(flip)),flip(a)]. 3352 (x * ((x / y) / x)) * y = T(x,y \ 1). [hyper(1793,a,3350,a)]. 3355 K(x,(x / y) / x) = x \ T(x,y \ 1). [hyper(75,a,3350,a(flip),b,1404,a),flip(a)]. 3356 T(x * ((x / y) / x),y) = y \ T(x,y \ 1). [para(3350(a,1),1790(a,1,2)),flip(a)]. 3357 x * (y * ((x \ y) / y)) = T(y,x \ 1). [hyper(1070,a,3351,a)]. 3358 x \ T(y,x \ 1) = y * ((x \ y) / y). [hyper(75,a,3351,a(flip),b,1069,a)]. 3359 T(x,T(y,y \ x) \ 1) = x * K(x,(y \ x) / x). [para(114(a,2),3346(a,1,2,1))]. 3360 (x \ 1) \ T(y,x) = y * (((x \ 1) \ y) / y). [hyper(75,a,2671,a(flip),b,3357,a)]. 3361 (x * y) * ((x \ (x * y)) / (x * y)) = ((x \ 1) \ y) * (x \ 1). [hyper(772,a,3358,a),flip(a)]. 3362 x \ (y \ T(x,y \ 1)) = (y \ x) / x. [hyper(75,a,3358,a,b,xx)]. 3363 (x / y) \ T(x,(x / y) \ 1) = x * (y / x). [para(69(a,1),3358(a,2,2,1))]. 3364 x * R(1 / y,y,y \ x) = y \ T(x,y \ 1). [para(286(a,2),3358(a,2,2)),flip(a)]. 3368 L(x \ T(x,y),y,x) = K(T(x,y),y). [para(3286(a,1),3323(a,1,1))]. 3369 K(T(x,y),y) = K(x,(x * y) / x). [hyper(189,a,3292,a(flip),b,3368,a(flip))]. 3370 R(T(x,x * y),y,x) = T(x,T(y,x)). [hyper(189,a,3325,a(flip),b,3337,a)]. 3371 L(R(x,y,x),y,x) * y = y * T(x,T(y,x)). [para(3370(a,1),834(a,1,2)),flip(a)]. 3372 (x / y) \ (y \ x) = y \ (x / (x / y)). [para(115(a,1),3283(a,1,2))]. 3373 T(x,x \ y) \ x = x \ (y / (y / x)). [hyper(189,a,3297,a,b,3372,a(flip)),flip(a)]. 3374 x / (x / y) = y * (T(y,y \ x) \ y). [para(3373(a,2),17(a,1,2)),flip(a)]. 3375 (x * y) / ((x * y) / x) = x * (T(x,y) \ x). [para(16(a,1),3374(a,2,2,1,2))]. 3376 (x * ((y \ x) / x)) / (y \ x) = x \ T(x,y \ 1). [hyper(189,a,885,a,b,3285,a(flip)),flip(a)]. 3377 T(x \ T(x,y \ 1),z) = K(x,(x / T(y,z)) / x). [para(3285(a,1),1799(a,1,1))]. 3378 K(x,(x / y) / x) * (y * z) = y * ((x \ T(x,y \ 1)) * z). [para(3285(a,1),1812(a,2,2,1))]. 3379 (x * ((y / (z * (x \ y))) / x)) * (z * (x \ y)) = x * ((x \ T(x,z \ 1)) * (x \ y)). [para(3285(a,1),1801(a,2,2,1))]. 3380 R(x \ T(x,y \ 1),z,u) = K(x,(x / R(y,z,u)) / x). [para(3285(a,1),2149(a,1,1))]. 3381 T(x,T(L(y \ 1,y,x) \ 1,x)) = K(y,x) \ x. [para(906(a,2),3308(a,1,1)),flip(a)]. 3382 T(x \ T(x * y,y),x) = R(y,x,y). [para(3338(a,1),603(a,2,1)),flip(a)]. 3383 (x \ T(x * y,y)) * x = x * R(y,x,y). [para(3338(a,1),612(a,1,1))]. 3384 (x * R(y,x,y)) \ T(x * y,y) = K(x,x \ T(x * y,y)). [para(3383(a,1),97(a,1,1))]. 3385 T(((x / y) / x) * ((x \ 1) \ 1),y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x. [para(3356(a,1),2321(a,2,1,2))]. 3386 (((x / y) \ 1) \ y) * ((x / y) \ 1) = x * (y / x). [hyper(941,a,3363,a)]. 3387 T((x * y) / x,T(x,y)) = L(R(y,x,y),x,y). [hyper(21,a,325,a,b,3371,a),flip(a)]. 3388 x / (y \ ((y * x) / y)) = y * (T(y,x) \ y). [hyper(189,a,1049,a(flip),b,3375,a(flip)),flip(a)]. 3389 (x * y) / ((x * y) / x) != x * z | T(x,y) \ x = z. [para(3375(a,2),22(a,1))]. 3390 x * (((x * y) / ((x * y) / x)) \ z) = (x * (T(x,y) \ x)) \ (x * z). [para(3375(a,1),1115(a,1,1)),flip(a)]. 3391 T(x \ T(x * y,y),T(x * y,y)) = L(R(y,x * y,y),x * y,y). [para(3338(a,1),3387(a,1,1))]. 3392 ((x * y) / x) * T(((x * y) / x) \ x,y) = x * K(y \ (x * (T(x,y) \ x)),y). [para(3388(a,1),1074(a,2,2,1,2))]. 3393 x * R(1 / (1 / y),1 / y,(1 / y) \ x) = (1 / y) \ T(x,y). [para(69(a,1),3364(a,2,2,2))]. 3394 T(x,((x * y) \ x) \ K(y,x)) = K(y,x) \ x. [para(905(a,1),3381(a,1,2))]. 3395 ((L(x \ 1,x,y) \ 1) * y) / (L(x \ 1,x,y) \ 1) = y * K(x,y). [para(906(a,2),3288(a,2,2))]. 3396 T(x,T(y,y \ x) \ 1) != x * z | K(x,(y \ x) / x) = z. [para(3359(a,2),22(a,1))]. 3397 x \ T(x,T(y,z) \ 1) = T(x \ T(x,y \ 1),z). [hyper(189,a,3355,a(flip),b,3377,a),flip(a)]. 3398 x \ (y * (x / y)) != z | K(((y / x) \ 1) \ x,(y / x) \ 1) = z. [para(3386(a,1),336(a,1,2))]. 3399 T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = x \ T(x,R(z \ 1,z,y) \ 1). [para(2822(a,1),3397(a,1,2,2,1)),flip(a)]. 3400 L((T(x,T(y,x)) * z) / (x * z),T(y,x),x) = R((y * x) \ (x * y),x,z). [para(3294(a,1),716(a,1,1))]. 3401 K(x \ y,T(x,y)) = K(x \ y,x). [hyper(3335,a,3318,a),flip(a)]. 3402 K(x \ (x * y),x) = K(y,T(x,x * y)). [hyper(189,a,1215,a(flip),b,3401,a(flip))]. 3403 K(x,T(y,y * x)) = K(x,y). [hyper(189,a,1215,a(flip),b,3402,a(flip))]. 3405 R(x \ T(x,y \ 1),z,u) = x \ T(x,R(y,z,u) \ 1). [hyper(189,a,3355,a(flip),b,3380,a)]. 3406 ((x \ 1) * (y * x)) / (x \ 1) != z * x | (x \ 1) * (y / (x \ 1)) = z. [para(3275(a,1),453(a,1,1)),flip(b)]. 3407 (x * ((y \ x) * y)) / x != z * K(y \ x,y) | T(x,(y \ x) * y) = z. [para(3320(a,1),23(a,1))]. 3408 ((x \ 1) \ y) * (x \ 1) = (x * y) * (y / (x * y)). [para(16(a,1),3361(a,1,2,1)),flip(a)]. 3409 ((x \ 1) * y) * (y / ((x \ 1) * y)) = (x \ y) * x. [hyper(189,a,2538,a(flip),b,3408,a(flip))]. 3410 ((x \ 1) * y) * R(x,x \ 1,y) = (x \ y) * x. [para(139(a,2),3409(a,1,2))]. 3411 ((((x \ 1) * y) * x) / ((x \ 1) * y)) * (x \ 1) = ((x \ y) * x) / y. [hyper(76,a,3410,a(flip),b,669,a),flip(a)]. 3412 (x \ T(x,y \ 1)) * (y * z) = y * ((x \ T(x,y \ 1)) * z). [para(3355(a,1),3378(a,1,1))]. 3413 x * R(1 / (1 / y),y \ 1,(1 / y) \ x) = (1 / y) \ T(x,y). [para(2591(a,1),3393(a,1,2))]. 3414 K(x,((y \ 1) \ x) / x) = ((1 / y) \ x) \ ((1 / y) \ T(x,y)). [para(3413(a,1),3091(a,1,2)),flip(a)]. 3415 K(x \ ((x \ 1) \ y),x) = K(y,((x \ 1) \ y) / y). [hyper(189,a,3097,a(flip),b,3414,a),flip(a)]. 3416 (x * (T(x,y) \ x)) \ (x * z) = x * ((x * (T(x,y) \ x)) \ z). [para(3375(a,1),3390(a,1,2,1)),flip(a)]. 3417 x * ((x * (T(x,y) \ x)) \ ((T(x,y) \ x) * z)) = L(z,T(x,y) \ x,x). [hyper(355,a,3416,a),flip(a)]. 3418 T(K(x,y),x * K(z,x)) = K(x,y). [para(3395(a,1),2665(a,1,2))]. 3419 T(x * K(y,x),K(x,z)) = x * K(y,x). [hyper(38,a,3418,a)]. 3420 ((x \ 1) * y) \ T((x \ 1) * y,x) = ((x \ y) * x) / y. [hyper(189,a,3289,a(flip),b,3411,a(flip)),flip(a)]. 3421 L(K(x \ y,x),y,x \ 1) = ((x \ y) * x) / y. [hyper(189,a,1905,a(flip),b,3420,a(flip)),flip(a)]. 3422 ((x \ (x * y)) * x) / (x * y) = L(K(y,x),x * y,x \ 1). [para(16(a,1),3421(a,1,1,1)),flip(a)]. 3423 L(K(x,y),y * x,y \ 1) = (x * y) / (y * x). [para(16(a,1),3422(a,1,1,1)),flip(a)]. 3424 L(K(x,y),y * x,y \ 1) = T(y,(1 / y) * (x * y)) \ y. [hyper(189,a,3198,a(flip),b,3300,a(flip)),flip(a)]. 3425 L(K(x,y),y * x,y \ 1) = T(y,(y \ 1) * (x * y)) \ y. [para(2393(a,1),3424(a,2,1))]. 3426 T(x,(x \ 1) * (y * x)) \ x = (y * x) / (x * y). [hyper(189,a,3423,a(flip),b,3425,a(flip))]. 3427 x * (((y * x) / (x * y)) \ 1) = T(x,(x \ 1) * (y * x)). [para(3426(a,1),2848(a,1,2,1))]. 3428 x * L(x \ y,x,T(x,z) \ x) = L(y,T(x,z) \ x,x). [para(2780(a,1),3417(a,1,2))]. 3429 L((T(x,T(y,x)) * z) / (x * z),T(y,x),x) = R(K(x,y),x,z). [para(29(a,2),3400(a,2,1))]. 3430 R(x,y,T(K(z,z \ 1),y)) = R(x,K(z,z \ 1),y). [hyper(189,a,3264,a(flip),b,3248,a(flip))]. 3431 R(x,K(y,y \ 1),z) = R(x,z,K(y,y \ 1)). [para(2514(a,1),3430(a,1,3)),flip(a)]. 3432 R(x,y,K(z \ 1,(z \ 1) \ 1)) = R(x,K(z \ 1,z),y). [para(1538(a,1),3431(a,1,2)),flip(a)]. 3434 R(x,K(y \ 1,y),z) = R(x,z,K(y \ 1,y)). [para(1538(a,1),3432(a,1,3)),flip(a)]. 3435 T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = R(x \ T(x,(z \ 1) \ 1),z,y). [hyper(189,a,3405,a,b,3399,a)]. 3436 T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = R(x \ T(x,z),z,y). [para(2671(a,1),3435(a,2,1,2))]. 3437 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ x) * y) / ((1 / x) \ 1). [para(14(a,1),3278(a,2,1,1,2))]. 3438 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ x) * y) / x. [para(69(a,1),3437(a,2,2))]. 3439 x * K(y \ (x * (T(x,y) \ x)),y) = (x * (y * T(y \ x,y))) / x. [hyper(189,a,1580,a(flip),b,3392,a(flip))]. 3440 x * K(y \ (x * (T(x,y) \ x)),y) = (x * ((y \ x) * y)) / x. [para(113(a,1),3439(a,2,1,2))]. 3441 ((x * y) / x) * (y \ ((T(x,y) \ x) * z)) = L(z,T(x,y) \ x,(x * y) / x). [para(3290(a,1),3299(a,2,2))]. 3442 T((x \ 1) * (x * ((y * (x \ z)) / y)),y) != u | L((x \ 1) * z,K(x,x \ 1),y) = u. [para(3258(a,2),3217(a,1))]. 3443 T((x / y) * K(x,x \ 1),y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x. [para(2257(a,1),3385(a,1,1,1))]. 3444 T(((x \ 1) \ 1) / y,y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x. [para(3211(a,1),3443(a,1,1,1))]. 3445 (x \ ((y \ 1) \ 1)) * K(y \ 1,y) = (y \ (x \ T(y,x \ 1))) * y. [para(115(a,1),3444(a,1,1))]. 3446 (x \ ((y \ 1) \ 1)) * K(y \ 1,y) = ((x \ y) / y) * y. [para(3362(a,1),3445(a,2,1))]. 3447 (x \ ((y \ 1) \ 1)) * K(y \ 1,y) = x \ y. [hyper(189,a,19,a(flip),b,3446,a)]. 3448 (x \ y) * K(y,y \ 1) = x \ ((y \ 1) \ 1). [hyper(21,a,2325,a(flip),b,3446,a),flip(a)]. 3450 K(x \ 1,x) * (y \ ((x \ 1) \ 1)) = y \ x. [hyper(2477,a,3447,a)]. 3452 (x \ ((y \ 1) \ 1)) * (y \ 1) = (x \ y) * (1 / y). [para(3447(a,1),2284(a,1,1)),flip(a)]. 3453 (x \ y) * K(y,y \ 1) = x \ T(y,y \ 1). [hyper(189,a,318,a,b,3448,a)]. 3454 K(x,x \ 1) * (y \ x) = y \ T(x,x \ 1). [hyper(2523,a,3453,a)]. 3455 K(x \ 1,x) * ((y * ((1 / x) * z)) / ((x \ 1) * z)) = R(y,K(x \ 1,x),(1 / x) * z). [hyper(189,a,3185,a(flip),b,3229,a(flip)),flip(a)]. 3456 (1 / (x \ 1)) / T(y,y \ T(x,x \ 1)) = (y \ ((x \ 1) \ 1)) * K(x \ 1,x). [para(1538(a,1),3213(a,2,2))]. 3457 x / T(y,y \ T(x,x \ 1)) = (y \ ((x \ 1) \ 1)) * K(x \ 1,x). [para(67(a,1),3456(a,1,1))]. 3458 x / T(y,y \ T(x,x \ 1)) = y \ x. [hyper(189,a,3447,a(flip),b,3457,a)]. 3459 (1 / x) / T(y,y \ (x \ 1)) = y \ (1 / x). [para(497(a,1),3458(a,1,2,2,2))]. 3460 (1 / (1 / x)) / T(y,y \ x) = y \ (1 / (1 / x)). [para(228(a,1),3458(a,1,2,2,2))]. 3461 K(x \ 1,x) * (y \ x) = y \ (1 / (1 / x)). [hyper(189,a,3226,a(flip),b,3460,a(flip)),flip(a)]. 3462 (x \ (1 / (1 / y))) * K(y,y \ 1) = x \ y. [hyper(2494,a,3461,a)]. 3463 K(x,x \ 1) * ((y \ (1 / (1 / x))) * z) = (y \ x) * z. [para(3462(a,1),3239(a,1,1)),flip(a)]. 3464 x * K(y \ (1 / (1 / x)),y) = (y \ x) * y. [hyper(189,a,2413,a(flip),b,3463,a(flip)),flip(a)]. 3465 ((x \ y) * x) * (y \ 1) = ((x \ y) * x) / y. [para(3464(a,1),3438(a,1,1))]. 3466 (x * ((y / (z * (u \ y))) / x)) * (z * (u \ y)) = ((x * ((u / z) / x)) * z) * (u \ y). [hyper(204,a,3276,a),flip(a)]. 3467 ((x * ((x / y) / x)) * y) * (x \ z) = x * ((x \ T(x,y \ 1)) * (x \ z)). [hyper(189,a,3379,a(flip),b,3466,a(flip))]. 3468 x * ((x \ T(x,y \ 1)) * (x \ z)) = T(x,y \ 1) * (x \ z). [para(3352(a,1),3467(a,1,1)),flip(a)]. 3469 T(x,(y \ 1) \ 1) * (x \ z) = x * ((x \ T(x,y)) * (x \ z)). [para(2671(a,1),3468(a,1,2,1,2)),flip(a)]. 3470 x * ((x \ T(x,y)) * (x \ z)) = T(x,y) * (x \ z). [para(2671(a,1),3469(a,1,1)),flip(a)]. 3471 T(x,y) * (x \ (x * z)) = x * ((x \ T(x,y)) * z). [para(16(a,1),3470(a,1,2,2)),flip(a)]. 3472 x * ((x \ T(x,y)) * z) = T(x,y) * z. [para(16(a,1),3471(a,1,2)),flip(a)]. 3474 L(x,y \ T(y,z),y) = x. [hyper(404,a,3472,a)]. 3475 (T(x,y) * z) / ((x \ T(x,y)) * z) = x. [hyper(88,a,3472,a)]. 3476 (x \ T(x,y)) * z = T(x,y) * (x \ z). [hyper(20,a,974,a,b,3472,a)]. 3477 (x \ T(x,y)) * (x * z) = T(x,y) * z. [hyper(20,a,979,a(flip),b,3472,a)]. 3479 x * ((T(y,x) \ y) * z) = T(x,T(y,x)) * z. [para(3284(a,2),3472(a,1,2,1))]. 3483 L(x,T(y,T(z,y)) \ y,z) = x. [para(3298(a,2),3474(a,1,2))]. 3484 L(x,T(y,z) \ y,(y * z) / y) = x. [para(142(a,1),3483(a,1,2,1,2))]. 3485 x \ ((T(y,x) \ y) * z) = ((y * x) / y) \ z. [hyper(75,a,3484,a(flip),b,3441,a),flip(a)]. 3486 R(x,x \ T(x,y),z) = x. [hyper(588,a,3475,a)]. 3487 R(x,x \ (K(y,x) \ x),z) = x. [para(3381(a,1),3486(a,1,2,2))]. 3488 R(x,K(y,x) \ 1,z) = x. [para(3063(a,1),3487(a,1,2))]. 3489 x \ ((K(y,x) \ x) * z) = (K(y,x) \ 1) * z. [para(3488(a,1),3067(a,1,1))]. 3490 T(x,y \ 1) * (x \ (y * z)) = y * ((x \ T(x,y \ 1)) * z). [hyper(189,a,3412,a(flip),b,3476,a(flip))]. 3491 T(x,y) * (x \ (z * K(x \ 1,x))) = ((x \ 1) * T(x,y)) * z. [hyper(189,a,3040,a(flip),b,3476,a(flip))]. 3493 (T(x,y) * z) / (x * z) = x \ T(x,y). [hyper(88,a,3477,a)]. 3494 (x \ T(x,y)) \ (T(x,y) * z) != u | x * z = u. [para(3477(a,1),237(a,1,2)),flip(b)]. 3495 R(x \ T(x,y),x,z) = x \ T(x,y). [hyper(2814,a,3493,a)]. 3496 R(K(x,y),x,z) = L(x \ T(x,T(y,x)),T(y,x),x). [para(3493(a,1),3429(a,1,1)),flip(a)]. 3498 (x * T(x \ y,z)) / y = (y / x) \ T(y / x,z). [hyper(189,a,2898,a(flip),b,3495,a(flip)),flip(a)]. 3500 (T(x,y) \ x) * (x * y) = y * x. [hyper(20,a,3329,a(flip),b,3479,a)]. 3501 K(x,y) = T(T(y,x) \ y,y * x). [hyper(147,a,3500,a,b,95,a),flip(a)]. 3502 (x * y) / (y * x) = T(y,x) \ y. [hyper(88,a,3500,a)]. 3504 T(x / y,y) \ (x / y) = (y * (x / y)) / x. [para(19(a,1),3502(a,1,2)),flip(a)]. 3505 T(x,y) = x * (((y * x) / (x * y)) \ 1). [para(3502(a,2),2848(a,1,2,1)),flip(a)]. 3506 T(x,(x \ 1) * (y * x)) = T(x,y). [hyper(189,a,3427,a(flip),b,3505,a),flip(a)]. 3507 T(x,y * x) = T(x,x * y). [para(482(a,1),3506(a,1,2))]. 3508 T(x,(x \ y) * x) = T(x,y). [para(486(a,1),3506(a,1,2))]. 3509 T(x,T((x \ 1) * y,x)) = T(x,x \ y). [para(1903(a,1),3506(a,1,2))]. 3510 T(x,x * (y / x)) = T(x,y). [para(19(a,1),3507(a,1,2)),flip(a)]. 3511 T(T(x,x * y),z) = T(T(x,z),y * x). [para(3507(a,1),41(a,1,1))]. 3512 x * T(y,x * y) = L(y,x,y) * x. [para(3507(a,2),559(a,1,2))]. 3513 R(T(x,x * y),y,x) = T(x,y). [para(3507(a,1),615(a,1,1))]. 3514 x * L(T(y,x * y),z,u) = L(L(y,x,y),z,u) * x. [para(3507(a,2),562(a,1,2,1))]. 3515 K(x,T(y,x * y)) = K(x,y). [para(3507(a,2),3403(a,1,2))]. 3516 ((x \ y) * x) * T(x,y) = x * ((x \ y) * x). [para(3508(a,1),113(a,1,2))]. 3517 R(T(x,y),x \ y,x) = T(x,x \ y). [para(3508(a,1),615(a,1,1))]. 3518 (x * ((x \ y) * x)) / x = (x \ y) * T(x,y). [para(3508(a,1),1467(a,2,2))]. 3519 T((x \ y) * T(x,y),x) = (x \ y) * x. [para(3508(a,1),1480(a,1,1,2))]. 3520 K(x,T(x \ y,y)) = K(x,x \ y). [para(17(a,1),3515(a,1,2,2))]. 3521 T(x,T(y,x)) = T(x,y). [hyper(189,a,3370,a(flip),b,3513,a(flip)),flip(a)]. 3522 (x / T(y,x)) * y = T(x,y). [hyper(189,a,3337,a(flip),b,3513,a(flip)),flip(a)]. 3523 T(x,y) / y = x / T(y,x). [hyper(76,a,3513,a(flip),b,3337,a(flip))]. 3524 R(x,y,x) * (x * y) = (x * y) * T(x,y). [para(3513(a,1),160(a,1,2)),flip(a)]. 3525 x * (T(x,y) \ y) = T(y,x). [hyper(1060,a,3521,a)]. 3528 T(x,y) \ (x * y) = T(y,x). [hyper(316,a,3521,a)]. 3529 T(x,y) \ y = x \ T(y,x). [hyper(75,a,3521,a(flip),b,1008,a),flip(a)]. 3530 T(T(x,y),T(z,x)) = T(T(x,z),y). [para(3521(a,1),41(a,1,1)),flip(a)]. 3531 T(x,T(T(y,x),z)) = T(x,T(y,z)). [para(41(a,1),3521(a,1,2))]. 3532 T(L(x,y,z),T(u,x)) = L(T(x,u),y,z). [para(3521(a,1),43(a,1,1)),flip(a)]. 3533 T(x,y / x) = T(x,x \ y). [para(115(a,1),3521(a,1,2)),flip(a)]. 3534 T(x,y) * L(T(y,x),z,u) = L(y,z,u) * T(x,y). [para(3521(a,1),159(a,1,2,1))]. 3535 T(x,y) * R(T(y,x),z,u) = R(y,z,u) * T(x,y). [para(3521(a,1),160(a,1,2,1))]. 3536 T((x \ y) \ y,T(z,x)) = T(T(x,z),x \ y). [para(3521(a,1),221(a,1,1)),flip(a)]. 3537 T(x,y) * T(T(y,x),z) != u | T(y,z) * T(x,y) = u. [para(3521(a,1),302(a,1,2,1))]. 3538 T(x,y) * R(T(T(y,x),z),u,w) = R(T(y,z),u,w) * T(x,y). [para(3521(a,1),509(a,1,2,1,1))]. 3539 T(x \ y,x) != z | T(x,x \ y) \ y = z. [para(3521(a,1),317(a,1))]. 3540 T(x \ y,x) != z | ((x \ y) \ y) \ y = z. [para(3521(a,1),435(a,1))]. 3542 T(x,y) \ x = y \ T(y,x). [para(3521(a,1),3284(a,2,2))]. 3543 T(x * (T(x,y) \ x),y) = x. [para(3521(a,1),3311(a,1,1,2,1))]. 3544 (x * y) / x = y * (T(y,x) \ y). [para(3521(a,1),3304(a,2,2,1))]. 3545 T(x,y) * (y * x) = x * (x * y). [para(3521(a,1),3329(a,1,1))]. 3546 x * ((T(y,x) \ y) * z) = T(x,y) * z. [para(3521(a,1),3479(a,2,1))]. 3547 T(x,y) / T(y,x) = x / T(T(y,x),x). [hyper(76,a,3521,a(flip),b,3522,a)]. 3548 T(x,y) = (x * (x * y)) / (y * x). [hyper(189,a,1512,a,b,3522,a(flip))]. 3549 (x * y) / T(y,x) = T(x,y). [hyper(189,a,1483,a,b,3522,a(flip)),flip(a)]. 3550 T(x,y) != z * y | x / T(y,x) = z. [para(3522(a,1),23(a,1))]. 3551 T(x,y) * T(y,x) = x * y. [para(3522(a,1),1484(a,1,1))]. 3552 ((x * (y / x)) / T(x,y)) * x = T(x * (y / x),x). [para(3510(a,1),3522(a,1,1,2))]. 3553 (T(x,y) / y) \ x = T(y,x). [para(3523(a,2),69(a,1,1))]. 3554 K(x \ 1,x) * T(y,(x \ 1) \ 1) = x * (T((x \ 1) \ 1,y) \ y). [para(3525(a,1),2443(a,1,2))]. 3555 T(x,y) = (x \ (y * x)) \ (y * x). [para(35(a,1),3528(a,1,1)),flip(a)]. 3556 x * T(y,z) != z * y | T(z,y) = x. [para(3528(a,1),87(a,1,2)),flip(b)]. 3557 T(x,y) * (x \ T(y,x)) = y. [para(3529(a,1),17(a,1,2))]. 3558 (T(x,y) * ((x \ T(y,x)) * z)) \ (y * z) = a(T(x,y),T(x,y) \ y,z). [para(3529(a,1),93(a,1,1,2,1))]. 3559 T((x \ y) * x,x) = (T(x,y) \ y) * x. [para(3529(a,2),1172(a,2,1))]. 3560 T(x,y / x) = (x \ y) \ y. [hyper(189,a,114,a(flip),b,3533,a)]. 3561 R(T(x,y),y / x,x) = T(x,x \ y). [hyper(189,a,618,a,b,3533,a(flip)),flip(a)]. 3562 (x / y) * T(y,y \ x) = y * (x / y). [para(3533(a,1),113(a,1,2))]. 3563 x / T(y,x / y) = y \ x. [para(3533(a,2),174(a,1,2))]. 3565 (x * (y / x)) * x = y * T(x,x \ y). [para(3533(a,1),622(a,2,2))]. 3566 (x * y) \ (y * T(x,x \ y)) = a(x,y / x,x). [para(3533(a,1),701(a,1,2,2))]. 3567 K(x \ (x / y),x) = T(x,y \ 1) \ x. [hyper(189,a,2641,a,b,3542,a),flip(a)]. 3568 T(x,y \ 1) \ x = y * T(y \ 1,x). [hyper(189,a,2638,a(flip),b,3542,a)]. 3571 T(x,y) * (x \ z) = (T(y,x) \ y) * z. [para(3542(a,2),3476(a,1,1)),flip(a)]. 3572 K(x,y) = T(x \ T(x,y),y * x). [para(3542(a,1),3501(a,2,1))]. 3573 T(x / (x / y),y \ x) = y. [para(3374(a,2),3543(a,1,1))]. 3574 T(T(x,y),T(y,x)) != z | T(y,x) \ (x * y) = z. [para(3549(a,1),307(a,1,1))]. 3575 (T(x,y) * (y * x)) / T(x,y) = T(y,x) * T(T(x,y),y * x). [para(3549(a,1),1463(a,1,1)),flip(a)]. 3576 (T(x,y) * (T(y,x) * z)) \ ((x * y) * z) = a(T(x,y),T(y,x),z). [para(3551(a,1),27(a,2,2,1)),flip(a)]. 3577 (x * y) \ (T(x,y) * (T(y,x) * z)) = L(z,T(y,x),T(x,y)). [para(3551(a,1),31(a,2,1)),flip(a)]. 3579 R(x,T(y,z),T(z,y)) * (y * z) = (x * T(y,z)) * T(z,y). [para(3551(a,1),110(a,1,2))]. 3580 x / T(y,x) != z | T(x,y) / y = z. [para(3553(a,1),246(a,1,2)),flip(b)]. 3581 T(x,y) * (x \ T(x * (y / x),x)) = x * (y / x). [para(3510(a,1),3557(a,1,1))]. 3584 (x * (y / x)) * x = y * ((x \ y) \ y). [para(3560(a,1),622(a,2,2))]. 3585 x / T(y \ x,y) = (y \ x) \ x. [para(67(a,1),3563(a,1,2,2))]. 3586 T(T(x / (x / y),z),y \ x) = T(y,z). [para(3573(a,1),41(a,1,1)),flip(a)]. 3588 (x / (x / y)) * (y \ x) = (y \ x) * y. [para(3573(a,1),113(a,1,2)),flip(a)]. 3589 ((x \ y) * x) / (x \ y) = y / (y / x). [para(3573(a,1),143(a,1,1,2))]. 3591 T((T(x,y) * y) / T(x,y),x) = y. [para(3544(a,2),3311(a,1,1))]. 3592 (x * (x * y)) \ ((x * y) * x) = K(y * x,T(x,y)). [para(3545(a,1),623(a,1,1))]. 3593 x \ T(x,T(y,(y \ 1) * x) \ 1) = K(x,y \ 1). [hyper(189,a,3397,a,b,3572,a),flip(a)]. 3594 T(x,T(y,x)) != z | T(x,y) = z. [para(3591(a,1),548(a,1,1))]. 3595 ((x * (y * x)) / x) / y = L(x,y,x). [hyper(1482,a,3512,a)]. 3596 (x * (y * x)) / x = L(x,y,x) * y. [hyper(1481,a,3512,a)]. 3597 T((x * y) / x,x * y) = L(y,x,y). [hyper(331,a,3512,a)]. 3598 T(L(x,y,x) * y,x) = y * x. [para(3512(a,1),1480(a,1,1))]. 3599 (L(x,y,x) * y) * x = x * (y * x). [para(3598(a,1),113(a,1,2)),flip(a)]. 3601 T(x,L(x,y,x) * y) = T(x,y * x). [para(3598(a,1),3521(a,1,2)),flip(a)]. 3602 T((x * y) / x,L(x,y,x)) = y. [hyper(1273,a,3596,a)]. 3603 T(x,L(y,x,y)) = T(x,y). [para(3602(a,1),176(a,1,1)),flip(a)]. 3604 L(x,y,x) * T(y,x) = y * L(x,y,x). [para(3603(a,1),113(a,1,2))]. 3606 L(R(x,y,x),y,x) = x. [hyper(814,a,3599,a)]. 3607 T(x \ T(x * y,y),T(x * y,y)) = y. [hyper(189,a,3391,a,b,3606,a(flip)),flip(a)]. 3608 T(x,L(x,y,x) * y) = T(x,x * y). [hyper(189,a,3507,a(flip),b,3601,a)]. 3609 R(T(x,x * y),y,T(x,x * y)) = T(x,y). [para(3608(a,1),1492(a,1,1))]. 3610 T(x,(x \ 1) * y) = T(x,x \ y). [hyper(3594,a,3509,a)]. 3611 T(x,(1 / x) * y) = T(x,x \ y). [hyper(189,a,2393,a,b,3610,a(flip)),flip(a)]. 3612 T(x \ 1,(x \ 1) \ y) = T(x \ 1,x * y). [hyper(189,a,2394,a(flip),b,3610,a(flip))]. 3613 T(x,x \ ((x \ 1) \ y)) = T(x,y). [para(17(a,1),3610(a,1,2)),flip(a)]. 3614 T(x,x \ ((1 / x) \ y)) = T(x,y). [para(17(a,1),3611(a,1,2)),flip(a)]. 3615 T((x \ 1) \ y,T(x,y)) = T((x \ 1) \ y,x). [para(3613(a,1),3331(a,1,2))]. 3616 (x \ ((1 / x) \ y)) * T(x,y) = (1 / x) \ y. [para(3614(a,1),145(a,1,2))]. 3617 T(x,R(y,x,x \ 1)) = T(x,y). [para(851(a,1),3614(a,1,2))]. 3618 T(x,y * (x \ 1)) = T(x,y / x). [para(445(a,1),3617(a,1,2))]. 3619 T(x,y * (x \ 1)) = T(x,x \ y). [hyper(189,a,3533,a(flip),b,3618,a)]. 3620 T(T(x,y),(z \ 1) * x) = T(T(x,z \ x),y). [para(1570(a,1),3511(a,1,1)),flip(a)]. 3621 (x * ((x \ y) * x)) / x != z | (x \ y) * T(x,y) = z. [para(3519(a,1),250(a,1,1,2)),flip(b)]. 3622 T(x,(x \ y) * T(x,y)) = T(x,(x \ y) * x). [para(3519(a,1),3521(a,1,2)),flip(a)]. 3623 (T(x,y / z) \ x) * y = z * T(z \ y,x). [hyper(20,a,1062,a,b,3546,a)]. 3624 (x * (x * (T(x,y) \ y))) / T((x \ y) * x,x) = T(x,T(x,y) \ y). [para(3559(a,2),3548(a,2,2)),flip(a)]. 3625 (x / T(y,x)) * T(y,y \ T(x,y)) = y * (T(x,y) / y). [para(3523(a,1),3562(a,1,1))]. 3626 (x * T(y,y \ x)) / T(y,z) = ((y * (x / y)) / T(y,z)) * y. [hyper(76,a,3565,a(flip),b,1484,a)]. 3627 K(x \ (x / y),x) \ x = T(x,y \ 1). [para(3567(a,2),2746(a,1,1))]. 3628 K(x,y) = T(y,((y * x) \ y) \ 1) \ y. [hyper(189,a,903,a,b,3568,a),flip(a)]. 3629 (T(x,y \ 1) \ x) \ (y * (T(y \ 1,x) * z)) = L(z,T(y \ 1,x),y). [para(3568(a,2),31(a,2,1)),flip(a)]. 3630 x * (T(x,y \ 1) \ x) = y * ((x \ (y \ x)) * x). [para(3568(a,2),2795(a,2,2)),flip(a)]. 3631 x * ((y \ x) \ x) = (y \ 1) \ x. [hyper(748,a,3584,a),flip(a)]. 3633 ((x / y) \ 1) \ x = x * (y \ x). [para(69(a,1),3631(a,1,2,1)),flip(a)]. 3634 (x * (y \ x)) / (x / y) = (x / y) * (x / (x / y)). [hyper(76,a,3633,a(flip),b,485,a)]. 3635 x / (x * (y \ x)) = (x / y) \ 1. [para(3633(a,1),67(a,1,2))]. 3636 (x / (x / y)) \ 1 = x / (x * y). [para(69(a,1),3635(a,1,2,2)),flip(a)]. 3637 1 / (x / (x * y)) = x / (x / y). [para(3636(a,1),67(a,1,2))]. 3638 x / (x / (x \ y)) = 1 / (x / y). [para(17(a,1),3637(a,1,2,2)),flip(a)]. 3639 (x / (x / y)) \ 1 != z | x / (x * y) = z. [para(3637(a,1),236(a,1,1)),flip(b)]. 3640 (1 / (x / y)) \ x = x / (x \ y). [para(3638(a,1),69(a,1,1))]. 3641 x / (x \ (y \ x)) = (1 / y) \ x. [para(67(a,1),3640(a,1,1,2)),flip(a)]. 3642 (x * (y \ x)) / (x / y) = (y \ x) * y. [hyper(189,a,1525,a,b,3588,a(flip)),flip(a)]. 3643 T(x / (x / y),x) = L(y,y \ x,y). [para(3589(a,1),565(a,1,1))]. 3644 T(T(x / (x / y),x),z) = L(T(y,z),y \ x,y). [para(3643(a,2),43(a,2,1)),flip(a)]. 3645 x * T(x / (x / y),x) = y * ((y \ x) * y). [para(3643(a,2),344(a,1,2))]. 3646 x * T(y,z) != y * L(z,y,z) | L(z,y,z) = x. [para(3604(a,1),23(a,1)),flip(a)]. 3648 T(x,x \ T(x * y,y)) = T(x,y). [para(3607(a,1),3332(a,1,2)),flip(a)]. 3649 K(x,x \ T(x * y,y)) = K(x,y). [para(3607(a,1),3520(a,1,2)),flip(a)]. 3650 K(x,y) = (x * R(y,x,y)) \ T(x * y,y). [hyper(189,a,3384,a,b,3649,a(flip))]. 3651 T(x,(y \ x) \ 1) = K(x \ y,x) \ x. [para(67(a,1),3627(a,1,1,1,2)),flip(a)]. 3652 K(x \ y,x) \ x = x * K(x,y / x). [hyper(3349,a,3651,a),flip(a)]. 3653 K(x \ y,x) \ 1 = K(x,y / x). [hyper(3066,a,3652,a)]. 3654 K(x,(x * y) / x) = K(y,x) \ 1. [para(16(a,1),3653(a,1,1,1)),flip(a)]. 3655 K(T(x,y),y) = K(y,x) \ 1. [hyper(189,a,3369,a,b,3654,a(flip)),flip(a)]. 3656 K(T(x,y),y) \ 1 = K(y,x). [para(143(a,1),3654(a,1,2)),flip(a)]. 3657 K(T(x,y),y) * K(y,x) = 1. [para(3656(a,1),17(a,1,2))]. 3658 R(x,K(x,y),z) = x. [para(3656(a,1),3488(a,1,2))]. 3659 (R(x,y,z) * K(x,u)) * w = R(x,y,z) * (K(x,u) * w). [para(3658(a,1),382(a,1,1,1)),flip(a)]. 3661 (x * K(x,y)) * y = x * (y * K(x,y)). [para(3658(a,1),2769(a,1,1)),flip(a)]. 3662 K(T(x,y),y) \ 1 != z | K(y,x) = z. [para(3657(a,1),237(a,1,2)),flip(b)]. 3663 K(x \ y,x) \ 1 != z | K(x,y / x) = z. [para(115(a,1),3662(a,1,1,1))]. 3664 K(T(x,T(y,x)),T(y,x)) != z | K(x,y) = z. [para(3655(a,2),3662(a,1))]. 3665 R(x,y,T(x,y)) = R(x,y,x). [hyper(21,a,383,a,b,3524,a),flip(a)]. 3666 ((x * y) * T(x,y)) / (x * y) != z | R(x,y,x) = z. [para(3524(a,1),248(a,1,1)),flip(b)]. 3667 x \ T(y * x,y) = R(y,x,y). [hyper(1055,a,3665,a)]. 3668 x * R(y,x,y) = T(y * x,y). [para(3665(a,1),1054(a,1,2))]. 3669 R(x,T(y,x),T(x,y)) = R(x,T(y,x),x). [para(3521(a,1),3665(a,1,3))]. 3670 R(x,x \ y,x) = (x \ y) \ T(y,x). [para(17(a,1),3667(a,1,2,1)),flip(a)]. 3671 (x * y) \ (x * T(z * y,z)) = L(R(z,y,z),y,x). [para(3667(a,1),104(a,1,1)),flip(a)]. 3672 x \ T(y * x,y) != z | R(y,x,y) = z. [para(3668(a,1),237(a,1,2)),flip(b)]. 3673 T(x * y,x) * T(x,y) = (x * y) * R(x,y,x). [para(3668(a,1),1666(a,1,1))]. 3674 R(x \ y,(x \ y) \ (y / (y / x)),x \ y) = ((x \ y) \ (y / (y / x))) \ x. [para(3573(a,1),3670(a,2,2))]. 3675 T(x,x \ T(x * y,y)) \ T(x * y,y) = R(y,x,y). [hyper(3539,a,3382,a)]. 3676 K(x,y) = T(y * x,y) \ T(x * y,y). [para(3668(a,1),3650(a,2,1))]. 3677 K(x \ T(x * y,x),x) = K(y,x). [hyper(189,a,1183,a(flip),b,3676,a),flip(a)]. 3678 K(x \ T(y,x),x) = K(x \ y,x). [para(17(a,1),3677(a,1,1,2,1))]. 3679 K(x \ ((x * y) / x),x) = K(x \ y,x). [para(142(a,1),3678(a,1,1,2)),flip(a)]. 3680 K(T(x,y) \ y,x) = K(x \ y,x). [para(3529(a,2),3678(a,1,1))]. 3681 L(x \ T(x,T(y,x)),T(y,x),x) != z | K(x,y) = z. [para(3368(a,2),3664(a,1))]. 3682 x * (((y * x) / y) \ z) = (T(y,x) \ y) * z. [para(3485(a,1),17(a,1,2))]. 3683 x \ (y * (T(y,x) \ y)) = ((y * x) / y) \ y. [para(2748(a,1),3485(a,1,2))]. 3684 x * ((K(y,x) \ 1) * z) = (K(y,x) \ x) * z. [para(3489(a,1),17(a,1,2))]. 3685 (x * (y / x)) / y = (x \ y) \ (y / x). [para(115(a,1),3504(a,1,1)),flip(a)]. 3686 (x * (y / x)) / y = x \ ((x \ y) \ y). [hyper(3339,a,3685,a(flip)),flip(a)]. 3687 x \ ((x \ (y \ x)) \ (y \ x)) = x \ T(x,y \ 1). [hyper(189,a,3376,a(flip),b,3686,a(flip))]. 3688 ((x \ 1) * (x \ T(x * y,x \ 1))) / (x \ 1) = ((x \ 1) \ y) * T(x \ 1,y). [para(768(a,2),3518(a,1,1,2))]. 3689 T(x \ 1,x * y) = ((x \ 1) \ y) \ y. [hyper(315,a,3612,a),flip(a)]. 3691 ((x \ 1) \ (x \ y)) \ (x \ y) = T(x \ 1,y). [para(17(a,1),3689(a,1,2)),flip(a)]. 3692 T(T(x,y),(z \ 1) * x) = T(T(x,y),z \ x). [hyper(189,a,41,a,b,3620,a)]. 3693 T(x,(x \ y) * T(x,y)) = T(x,y). [hyper(189,a,3508,a(flip),b,3622,a)]. 3694 R(T(x,y),x \ y,T(x,y)) = T(x,x \ y). [para(3693(a,1),1487(a,1,1))]. 3695 R(x \ T(x,y),y,((x * y) / x) \ z) \ z = (T(x,y) \ x) * z. [hyper(189,a,3296,a,b,3682,a(flip)),flip(a)]. 3696 x * K(((x * y) / x) \ x,y) = (x * ((y \ x) * y)) / x. [para(3683(a,1),3440(a,1,2,1))]. 3697 ((x * y) / x) \ x = y \ ((y * x) / y). [para(3544(a,2),3683(a,1,2)),flip(a)]. 3698 K(((x * y) / x) \ x,y) = K(y \ x,y). [para(3697(a,2),3679(a,1,1))]. 3699 (K(x,y) \ y) * z != y * u | (K(x,y) \ 1) * z = u. [para(3684(a,1),22(a,1))]. 3700 (x \ T(x,y)) \ z != u | x * (T(x,y) \ z) = u. [para(17(a,1),3494(a,1,2))]. 3702 T(x,y) \ (y * x) = T(T(y,x),x). [hyper(3574,a,3530,a)]. 3703 T(x,y) * T(T(y,x),x) = y * x. [para(3702(a,1),17(a,1,2))]. 3704 L(T(x,y),z,u) \ (y * L(x,z,u)) = T(T(y,L(x,z,u)),L(x,z,u)). [para(43(a,2),3702(a,1,1))]. 3705 R(K(x,y),x,z) = K(x,y). [hyper(189,a,3344,a,b,3496,a)]. 3707 (K(x,y) * x) * z = K(x,y) * (x * z). [para(3705(a,1),110(a,1,1)),flip(a)]. 3708 L(x,y,K(y,z)) = x. [hyper(346,a,3707,a)]. 3709 (x * K(x,y)) * z = K(x,y) * (x * z). [para(2650(a,1),3707(a,1,1))]. 3711 L(x,y,K(y,z)) = 1 * x. [hyper(189,a,14,a,b,3708,a)]. 3714 L(x,y,K(y,z)) != u | u = x. [para(3711(a,2),77(a,1))]. 3715 K(x,y) * (x * y) = x * (y * K(x,y)). [hyper(189,a,3661,a(flip),b,3709,a(flip))]. 3716 K(x,y) \ (x * (y * K(x,y))) != y * z | T(x,y) = z. [para(3715(a,1),291(a,1,2))]. 3717 ((x \ y) / y) \ T((x \ y) / y,z) = x * T(x \ 1,z). [hyper(917,a,3498,a),flip(a)]. 3719 T(x,y) * T(y,y * x) = L(y,x,y) * T(x,y). [para(554(a,1),3534(a,1,2))]. 3720 T(x,y) * T(y,y * x) = x * L(y,x,y). [hyper(189,a,3604,a(flip),b,3719,a)]. 3722 T(x,y) * T(y,x * y) = x * L(y,x,y). [para(3507(a,2),3720(a,1,2))]. 3723 L(x,T(y,x),x) * T(y,x) = y * L(x,y,x). [hyper(189,a,564,a,b,3722,a(flip)),flip(a)]. 3724 L(x,T(y,x),x) = L(x,y,x). [hyper(3646,a,3723,a),flip(a)]. 3725 T(x * L(y,x,y),y) = T(x,y) * y. [para(3723(a,1),3598(a,1,1))]. 3726 ((x * (y * x)) / x) / y = L(x,T(y,x),x). [hyper(189,a,3595,a,b,3724,a),flip(a)]. 3727 L(x,T(y,y * x),x) = L(x,L(y,x,y),x). [para(557(a,1),3724(a,1,2))]. 3728 (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(3535(a,1),150(a,1,1,2))]. 3729 R(x,y,x) * T(x * y,x) = T(x * y,x) * T(x,y). [para(3513(a,1),3535(a,1,2)),flip(a)]. 3730 R(x,x \ y,x) * T(y,x) = T(y,x) * T(x,x \ y). [para(3517(a,1),3535(a,1,2)),flip(a)]. 3731 R(x,y / x,x) * T(y,x) = T(y,x) * T(x,x \ y). [para(3561(a,1),3535(a,1,2)),flip(a)]. 3732 T(x,y) * (T(y,x) / x) = x * (y / x). [para(1178(a,1),3581(a,1,2))]. 3733 T(x,y) * (y / T(x,y)) = x * (y / x). [para(3523(a,1),3732(a,1,2))]. 3734 K(x * y,T(y,x)) = K(y * x,y). [hyper(240,a,3592,a),flip(a)]. 3735 K(x * y,T(y,x)) != z | K(y * x,y) = z. [para(3592(a,1),240(a,1))]. 3736 x \ T(x,T(y,y \ x) \ 1) = K(x,y \ 1). [para(3610(a,1),3593(a,1,2,2,1))]. 3737 T(x,T(y,y \ x) \ 1) = x * K(x,y \ 1). [para(3736(a,1),17(a,1,2)),flip(a)]. 3738 K(x,(y \ x) / x) = K(x,y \ 1). [hyper(3396,a,3737,a)]. 3739 K(x \ ((x \ 1) \ y),x) = K(y,(x \ 1) \ 1). [hyper(189,a,3415,a,b,3738,a(flip)),flip(a)]. 3740 K(x \ ((x \ 1) \ y),x) = K(y,x). [hyper(189,a,3081,a(flip),b,3739,a)]. 3741 K(x \ ((1 / x) \ y),x) = K(y,x). [hyper(189,a,3096,a,b,3740,a(flip)),flip(a)]. 3742 K((1 / x) * y,x) = K(x \ y,x). [para(16(a,1),3741(a,1,1,2)),flip(a)]. 3743 K((x \ 1) \ y,x \ 1) = K(x * y,x \ 1). [para(67(a,1),3742(a,1,1,1)),flip(a)]. 3744 (x / y) * (x / (x / y)) = (y \ x) * y. [hyper(189,a,3642,a(flip),b,3634,a(flip))]. 3745 ((x \ y) * x) * x = y * (y / (y / x)). [para(3744(a,1),1603(a,1,1))]. 3746 ((x \ T(y,x)) * T(x,y)) * T(x,y) = y * (y / (y / T(x,y))). [para(3529(a,1),3745(a,1,1,1))]. 3747 R(K(x,y),x,z) != u | K(x,y) = u. [para(3496(a,2),3681(a,1))]. 3748 (x \ T(x,y \ 1)) * x = T(x,x \ (y \ x)). [para(3687(a,1),2812(a,1,1))]. 3749 T(x,x \ (y \ x)) = T(x,y \ 1). [hyper(2803,a,3748,a),flip(a)]. 3750 T(x * y,(x * y) \ y) = T(x * y,x \ 1). [para(16(a,1),3749(a,1,2,2))]. 3751 T(x,(x / y) \ 1) = T(x,x \ y). [para(69(a,1),3749(a,1,2,2)),flip(a)]. 3752 (x \ (y \ x)) * T(x,y \ 1) = y \ x. [para(3749(a,1),145(a,1,2))]. 3754 (x / y) \ T(x,x \ y) = x * (y / x). [para(3751(a,1),3363(a,1,2))]. 3755 (x \ ((y \ 1) \ x)) * T(x,y) = (y \ 1) \ x. [para(2671(a,1),3752(a,1,2))]. 3756 (x * T(x \ (T(x,x \ y) * y),z)) / y = (x / y) * T(x * (y / x),z). [para(3754(a,1),1458(a,2,2,1))]. 3757 T(x * y,x \ 1) = ((x * y) \ y) \ y. [hyper(315,a,3750,a),flip(a)]. 3758 x / T(y * x,y \ 1) = (y * x) \ x. [para(3750(a,1),174(a,1,2))]. 3759 T((x \ 1) * y,x) = (((x \ 1) * y) \ y) \ y. [hyper(189,a,2671,a(flip),b,3757,a(flip)),flip(a)]. 3760 T(L(L(x,y,x),z,u) * y,x) = L(x,z,u) * T(y,x). [para(3514(a,1),1626(a,1,1))]. 3761 T(x,y) \ T(x * y,y) = R(y,x,y). [para(3648(a,1),3675(a,1,1))]. 3762 (x \ (y * x)) \ T(y * x,x) = R(x,y,x). [para(35(a,1),3761(a,1,1))]. 3763 R(x,y,x) * T(x * y,x) = (x * y) * R(x,y,x). [hyper(189,a,3673,a(flip),b,3729,a)]. 3764 (R(x,y,x) * y) \ ((x * y) * R(x,y,x)) = L(R(x,y,x),y,R(x,y,x)). [para(3763(a,1),3671(a,1,2))]. 3766 R(x,y / x,x) = R(x,x \ y,x). [hyper(21,a,3730,a,b,3731,a)]. 3767 R(x,(x * y) / x,x) = R(x,y,x). [para(16(a,1),3766(a,2,2))]. 3768 R(x,x \ y,x) * y = (x * (y / x)) * x. [para(3766(a,1),375(a,1,1))]. 3769 R(x,T(y,x),x) = R(x,y,x). [para(143(a,1),3767(a,1,2)),flip(a)]. 3770 R(x,T(y,x),T(x,y)) = R(x,y,x). [hyper(189,a,3669,a,b,3769,a(flip)),flip(a)]. 3771 R(T(x,y),T(z,x),T(x,z)) = T(R(x,z,x),y). [para(3770(a,1),45(a,2,1))]. 3772 R(R(x,y,z),T(u,x),T(x,u)) = R(R(x,u,x),y,z). [para(3770(a,1),49(a,1,1)),flip(a)]. 3774 R(T(x,y),T(z,x),T(x,z)) = R(T(x,y),z,x). [hyper(189,a,45,a,b,3771,a)]. 3775 R(T(T(x,y),z),T(u,x),T(x,u)) = T(R(T(x,y),u,x),z). [para(3774(a,1),45(a,2,1))]. 3777 (x * ((y \ x) * y)) / x = x * K(y \ x,y). [para(3698(a,1),3696(a,1,2)),flip(a)]. 3778 T(x,(y \ x) * y) = x. [hyper(3407,a,3777,a)]. 3780 T(x,y * (x / y)) = x. [para(69(a,1),3778(a,1,2,1))]. 3781 T(T(x,y),z * (x / z)) = T(x,y). [para(3780(a,1),41(a,1,1)),flip(a)]. 3782 T(x,T((y \ z) / z,x)) = (y * T(y \ 1,x)) \ x. [para(3717(a,1),3302(a,1,1)),flip(a)]. 3783 T(x,T((y \ z) / z,x)) = T(x,T(y \ 1,x)). [hyper(189,a,3308,a(flip),b,3782,a)]. 3784 T(x,T(y \ 1,x)) = T(x,(y \ z) / z). [hyper(3594,a,3783,a),flip(a)]. 3785 T(x,(y \ z) / z) = T(x,y \ 1). [hyper(3594,a,3784,a),flip(a)]. 3786 T(x,y / (z * y)) = T(x,z \ 1). [para(16(a,1),3785(a,1,2,1))]. 3787 T(x,(y / z) \ 1) = T(x,z / y). [para(69(a,1),3785(a,1,2,1)),flip(a)]. 3793 T(x \ T(x,(y * z) / z),T(y,u)) = R(x \ T(x,y),y,z). [para(3787(a,1),3436(a,1,1,2))]. 3794 R(T(T(x,y),z),T(u,x),T(x,u)) = R(T(T(x,y),z),u,x). [hyper(189,a,45,a,b,3775,a)]. 3795 (R(x,y,z) * T(u,x)) * T(x,u) = R(R(x,u,x),y,z) * (u * x). [para(3772(a,1),3579(a,1,1)),flip(a)]. 3796 T(x \ T(x,y),T(y,z)) = R(x \ T(x,y),y,u). [para(18(a,1),3793(a,1,1,2,2))]. 3797 R(x \ T(x,y),y,z) = x \ T(x,y). [hyper(189,a,2784,a(flip),b,3796,a(flip))]. 3798 (x \ T(x,y)) \ (((x * y) / x) * z) = y * z. [para(3797(a,1),3295(a,1,1))]. 3799 L(x,y \ 1,(z * y) / z) = y * ((y \ 1) * x). [hyper(3310,a,3798,a)]. 3800 (x \ T(x,x \ y)) \ y = (x \ y) * x. [para(71(a,1),3798(a,1,2))]. 3803 (x \ ((x \ y) \ y)) \ y = (x \ y) * x. [para(114(a,1),3800(a,1,1,2))]. 3804 x / ((y \ x) * y) = y \ ((y \ x) \ x). [para(3803(a,1),67(a,1,2))]. 3805 (x * (y / x)) / y = y / ((x \ y) * x). [hyper(189,a,3686,a,b,3804,a),flip(a)]. 3806 L(x,y \ 1,(z * y) / z) = L(x,y \ 1,y). [hyper(189,a,166,a(flip),b,3799,a)]. 3807 L(x,y \ 1,y * K(z,y)) = L(x,y \ 1,y). [para(3395(a,1),3806(a,1,3))]. 3808 L((x \ 1) \ y,x \ 1,x * K(z,x)) = x * y. [hyper(189,a,362,a(flip),b,3807,a)]. 3809 K(x,y) * (z * T(z \ (y * z),u)) = (K(x,y) * T(y,u)) * z. [para(3808(a,1),2862(a,1,2,2,1,2))]. 3810 T(x,y \ 1) * (x \ (y * z)) = y * (T(x,y \ 1) * (x \ z)). [para(3476(a,1),3490(a,2,2))]. 3811 T(x,y) * (T(x,x \ 1) \ z) = ((x \ 1) * T(x,y)) * z. [para(2497(a,1),3491(a,1,2))]. 3812 (((x \ 1) \ 1) * T(x \ 1,y)) * z = T(1 / x,y) * ((x \ 1) \ z). [hyper(189,a,3003,a(flip),b,3811,a(flip))]. 3813 (T(x,y) * (y * x)) / T(x,y) != z | T(x,y * x) * T(y,x) = z. [para(3575(a,2),3537(a,1))]. 3814 ((x * (y / x)) / T(x,z)) * x = (y / T(x,z)) * T(x,x \ y). [hyper(189,a,2125,a(flip),b,3626,a(flip))]. 3815 x * T(y,z) != z * (z / (z / T(y,z))) | (y \ T(z,y)) * T(y,z) = x. [para(3746(a,1),23(a,1)),flip(a)]. 3816 (K(x,y) * T(y,z)) * u = K(x,y) * (T(y,z) * u). [para(322(a,1),3809(a,1,2)),flip(a)]. 3818 L(x,T(y,z),K(u,y)) = x. [hyper(346,a,3816,a)]. 3819 L(x,y,K(z,y)) = x. [para(112(a,1),3818(a,1,2))]. 3820 (K(x,y) * y) * z = K(x,y) * (y * z). [para(3819(a,1),102(a,1,2))]. 3821 L(x,y,T(y,z) \ y) = x. [para(2744(a,1),3819(a,1,3))]. 3822 L(x,T(y,z) \ y,y) = y * (y \ x). [para(3821(a,1),3428(a,1,2)),flip(a)]. 3823 L(x,T(y,z) \ y,y) = x. [hyper(189,a,17,a(flip),b,3822,a)]. 3827 L(x,K(y,z),z) = x. [para(3628(a,2),3823(a,1,2))]. 3828 (x * K(y,x)) * z = x * (K(y,x) * z). [para(3827(a,1),102(a,1,2))]. 3829 (x * (K(y,x) * z)) / z = x * K(y,x). [para(3827(a,1),128(a,1,2))]. 3831 R(K(x,y),y,z) = K(x,y). [hyper(376,a,3820,a)]. 3832 (x * K(y,x)) * z = K(y,x) * (x * z). [para(2754(a,1),3820(a,1,1))]. 3833 R(x,K(y,x),z) = x. [hyper(376,a,3828,a)]. 3834 (x * (K(y,x) * z)) \ ((x * K(y,x)) * (z * u)) = L(u,z,x * K(y,x)). [para(3828(a,1),31(a,2,1)),flip(a)]. 3835 R(T(x,y),K(z,x),u) = T(x,y). [para(3833(a,1),45(a,2,1))]. 3836 x * (K(y,x) * z) != u | (x * K(y,x)) * z = u. [para(3833(a,1),204(a,1,1))]. 3837 (T(x,y) * K(z,x)) * u = T(x,y) * (K(z,x) * u). [para(3833(a,1),380(a,1,1,1)),flip(a)]. 3838 R(T(x,((x * y) \ x) \ K(y,x)),K(z,x),u) = K(y,x) \ x. [hyper(189,a,3394,a(flip),b,3835,a)]. 3839 K(x,y) \ (z * (y * K(x,y))) = y * T(z,y * K(x,y)). [hyper(428,a,3832,a)]. 3840 (x * K(y,x)) * (x \ z) = K(y,x) * z. [hyper(189,a,89,a(flip),b,3832,a)]. 3841 K(x,y) * (y * z) = y * (K(x,y) * z). [hyper(189,a,3828,a(flip),b,3832,a(flip))]. 3844 x * (K(y,x) * (x \ z)) != u | K(y,x) * z = u. [para(3841(a,1),254(a,1))]. 3846 (x * (K(y,x) * z)) \ (K(y,x) * (x * (z * u))) = L(L(u,z,x),x * z,K(y,x)). [para(3841(a,1),348(a,1,1))]. 3847 R(x,y,z) * (K(u,R(x,y,z)) * (y * z)) != w | K(u,R(x,y,z)) * ((x * y) * z) = w. [para(133(a,1),3844(a,1,2,2))]. 3849 T(x,y * K(x,y)) = T(x,y). [hyper(3716,a,3839,a),flip(a)]. 3850 T(L(L(x * K(y,x),y,x * K(y,x)),z,u) * y,x * K(y,x)) = L(x * K(y,x),z,u) * T(y,x). [para(3849(a,1),3760(a,2,2))]. 3851 R(K(x,y) \ y,K(z,y),u) = K(x,y) \ y. [para(3394(a,1),3838(a,1,1))]. 3852 (x * y) / (K(z,x) * y) = K(z,x) \ x. [hyper(189,a,2859,a(flip),b,3851,a(flip)),flip(a)]. 3854 (K(x,y) \ y) * (K(x,y) * z) = y * z. [para(3852(a,1),19(a,1,1))]. 3855 (K(x,y) \ 1) * (K(x,y) * z) = z. [hyper(3699,a,3854,a)]. 3856 L(x,K(y,z) \ 1,K(y,z)) = x. [hyper(1912,a,3855,a)]. 3858 (K(x,y) \ 1) \ z = K(x,y) * z. [hyper(80,a,3855,a)]. 3860 (K(x,y) \ 1) \ z != u | K(x,y) * z = u. [para(3855(a,1),237(a,1,2)),flip(b)]. 3862 x * (1 / K(y,z)) = x / K(y,z). [hyper(1893,a,3858,a)]. 3863 (K(x,y) \ z) \ z = T(K(x,y),z). [hyper(147,a,3858,a(flip),b,3631,a),flip(a)]. 3865 x * (K(y,z) \ 1) = x / K(y,z). [para(2004(a,1),3862(a,1,2))]. 3866 x / T(K(y,z),x) = K(y,z) \ x. [para(3863(a,1),67(a,1,2))]. 3867 (x * y) \ (y * x) = K(x,y) \ 1. [hyper(75,a,127,a(flip),b,3865,a)]. 3868 (x * K(y,z)) \ x = K(y,z) \ 1. [hyper(75,a,18,a(flip),b,3865,a)]. 3870 (K(x,y) \ z) * K(x,y) = T(z,K(x,y)). [para(3866(a,1),3522(a,1,1))]. 3871 K(x,y) \ 1 = K(y,x). [hyper(240,a,3867,a),flip(a)]. 3872 K(x,y) \ 1 != z | K(y,x) = z. [para(3867(a,1),240(a,1))]. 3873 K(x,y / x) = K(x,x \ y). [hyper(3663,a,3871,a)]. 3874 K(x,T(y,x)) = K(x,y). [hyper(3662,a,3871,a),flip(a)]. 3875 1 / K(x,y) = K(y,x). [hyper(2006,a,3871,a)]. 3876 K(T(x,y),y) = K(x,y). [hyper(189,a,3655,a,b,3871,a(flip)),flip(a)]. 3877 (x * K(y,x)) \ x = K(x,y). [hyper(189,a,3069,a,b,3871,a(flip)),flip(a)]. 3878 K(x,y) * K(y,x) = 1. [para(3871(a,1),17(a,1,2))]. 3879 x * K(y,z) != 1 | K(z,y) = x. [para(3871(a,1),87(a,1,2)),flip(b)]. 3880 1 / K(x,y) != z | K(y,x) = z. [para(3871(a,1),246(a,1,2)),flip(b)]. 3882 (x * y) \ ((y * x) * T(K(x,y),z)) = K(y,x) * T(K(x,y),z). [para(3871(a,1),1412(a,2,2,1))]. 3884 K(x,y) \ x = x * K(y,x). [para(3871(a,1),2985(a,1,2)),flip(a)]. 3885 K(x,T(y,x)) != z | K(x,y) = z. [para(3871(a,1),3662(a,1))]. 3887 K(x,y) * (K(y,x) * z) = z. [para(3871(a,1),3855(a,1,1))]. 3888 L(x,K(y,z),K(z,y)) = x. [para(3871(a,1),3856(a,1,2))]. 3889 K(x,y) \ z = K(y,x) * z. [para(3871(a,1),3858(a,1,1))]. 3890 x / K(y,z) = x * K(z,y). [para(3871(a,1),3865(a,1,2)),flip(a)]. 3891 K(x,x \ (y * x)) = K(x,y). [para(35(a,1),3874(a,1,2))]. 3893 K(x,R(y / x,z,u)) = K(x,R(x \ y,z,u)). [para(163(a,1),3874(a,1,2)),flip(a)]. 3894 K(x,y) * z != 1 | K(y,x) = z. [para(3875(a,1),82(a,1,1)),flip(b)]. 3895 K(x \ (y * x),x) = K(y,x). [para(35(a,1),3876(a,1,1))]. 3896 K(x / y,y) = K(y \ x,y). [para(115(a,1),3876(a,1,1)),flip(a)]. 3898 K(R(x \ y,x,z),x) = K((y * z) / (x * z),x). [para(518(a,1),3876(a,1,1))]. 3899 K(R(x,y,x),y * x) = K(T(x,y),y * x). [para(613(a,1),3876(a,1,1)),flip(a)]. 3900 (x * K(y,x)) \ 1 = x \ K(x,y). [hyper(75,a,3878,a(flip),b,3840,a)]. 3902 x \ (y * (x / y)) = K(y,y \ x). [hyper(189,a,98,a,b,3873,a(flip)),flip(a)]. 3903 x * K(y,y \ x) = y * (x / y). [para(3873(a,1),214(a,1,2))]. 3904 L(x * K(y,x),K(x,y),z) = (z * K(x,y)) \ (z * x). [para(3884(a,1),104(a,1,1))]. 3905 x / (K(y,z) * x) = K(z,y). [hyper(88,a,3887,a)]. 3906 K(x,y) * (K(x,z) * K(y,x)) = K(x,z). [hyper(20,a,1959,a(flip),b,3887,a)]. 3907 K(x,y) * z != u | K(y,x) * u = z. [para(3887(a,1),22(a,1)),flip(a)]. 3909 K(x,y) \ z != u | K(y,x) * z = u. [para(3887(a,1),237(a,1,2)),flip(b)]. 3910 x / (K(y,z) * x) != u | K(z,y) = u. [para(3887(a,1),248(a,1,1)),flip(b)]. 3912 L(L(x,y,K(z,u)),K(z,u) * y,K(u,z)) = y \ (K(u,z) * (K(z,u) * (y * x))). [para(3887(a,1),348(a,1,1)),flip(a)]. 3913 x \ (K(y,z) \ x) = T(K(z,y),x). [hyper(75,a,3889,a,b,113,a)]. 3914 K(x,y) * (K(y,x) * z) != u | u = z. [para(3889(a,1),203(a,1,2))]. 3915 L(K(x,y) * (z \ u),K(y,x),z) = (z * K(y,x)) \ u. [para(3889(a,1),183(a,1,1))]. 3917 (K(x,y) * z) \ z = T(K(y,x),z). [para(3889(a,1),3863(a,1,1))]. 3918 (x * K(y,z)) \ x = K(z,y). [hyper(406,a,3890,a)]. 3919 (x * K(y,z)) * K(z,y) = x. [hyper(248,a,3890,a)]. 3921 (x * K(y,z)) * K(z,y) != u | u = x. [para(3890(a,1),200(a,1,1))]. 3922 (x * K(y,z)) \ x != u | K(z,y) = u. [para(3890(a,1),236(a,1,1)),flip(b)]. 3924 R((x / y) * K(z,u),K(u,z),y) = x / (K(u,z) * y). [para(3890(a,1),187(a,1,1))]. 3925 T(x * (y * K(z,u)),L(K(u,z),y / K(u,z),x)) = L(K(u,z),y / K(u,z),x) \ (x * y). [para(3890(a,1),599(a,1,1,2))]. 3926 (x * (y / x)) \ y = K(x \ y,x). [hyper(189,a,99,a,b,3896,a(flip)),flip(a)]. 3929 x * K(y,z) != u | u * K(z,y) = x. [para(3918(a,1),87(a,1,2)),flip(b)]. 3930 x / K(y,z) != u | x * K(z,y) = u. [para(3918(a,1),246(a,1,2)),flip(b)]. 3931 ((x * K(y,z)) \ x) \ u = K(y,z) * u. [para(3918(a,2),3889(a,1,1))]. 3932 T(x * K(y,z),K(z,y)) = K(y,z) * x. [hyper(147,a,3919,a,b,3887,a)]. 3934 x * L(y,K(z,u),x * K(u,z)) = (x * K(u,z)) * (K(z,u) * y). [para(3919(a,1),102(a,1,1))]. 3935 (x * y) \ ((x * (y * K(z,u))) * K(u,z)) != w | a(x,y * K(z,u),K(u,z)) = w. [para(3919(a,1),553(a,1,1,2))]. 3938 K(T(x,y),y) != z | K(x,y) = z. [para(3655(a,2),3872(a,1))]. 3940 K(x,x \ (y * x)) != z | K(x,y) = z. [para(35(a,1),3885(a,1,2))]. 3941 K(T(x,x * y),y) != z | K(L(x,y,x),y) = z. [para(557(a,1),3938(a,1,1))]. 3942 K(R(T(x,y * z),y,z),y) != u | K((y * z) \ ((y * x) * z),y) = u. [para(832(a,1),3938(a,1,1))]. 3943 x / (K(y,z) \ 1) != u | x * K(y,z) = u. [para(3868(a,1),246(a,1,2)),flip(b)]. 3944 K(((x / y) \ 1) \ y,(x / y) \ 1) = K(x,x \ y). [hyper(3398,a,3902,a)]. 3946 (x * (y / x)) * K(x \ y,x) = y. [hyper(21,a,3919,a,b,3903,a),flip(a)]. 3947 K(x,x \ y) * z != x * (y / x) | T(y,K(x,x \ y)) = z. [para(3903(a,1),148(a,2))]. 3948 L(K(x,x \ y) \ z,K(x,x \ y),y) = (x * (y / x)) \ (y * z). [para(3903(a,1),104(a,2,1))]. 3949 (K(x,y) * z) * T(K(y,x),z) = z. [para(3917(a,1),17(a,1,2))]. 3950 (K(x,y) * z) * u != z | T(K(y,x),z) = u. [para(3949(a,1),22(a,1)),flip(a)]. 3951 T(x,K(y,z)) != u | K(z,y) * (x * K(y,z)) = u. [para(35(a,2),3909(a,1))]. 3952 K(x,y) != z | K(y,x) \ 1 = z. [para(62(a,1),3914(a,1)),flip(b)]. 3953 x * K(y,z) != u | x / K(z,y) = u. [para(19(a,1),3921(a,1,1)),flip(b)]. 3955 T(K(x,y) * z,K(x,y)) = z * K(x,y). [para(16(a,1),3870(a,1,1)),flip(a)]. 3956 (K(x,y) * z) * K(y,x) = T(z,K(y,x)). [para(3889(a,1),3870(a,1,1))]. 3957 K(x,y) * T(K(y,x) * z,u) != w | T(z * K(y,x),u) * K(x,y) = w. [para(3932(a,1),302(a,1,2,1))]. 3958 T(x,K(y,z)) * K(z,y) = K(z,y) * x. [hyper(3929,a,3956,a)]. 3959 T(T(x,K(y,z)),K(z,y)) = x. [hyper(147,a,3958,a,b,xx)]. 3963 K(x,y) * K(z,y) = K(z,y) * K(x,y). [para(1958(a,1),3958(a,1,1))]. 3964 K(x,y) * (y * K(z,y)) = (y * K(z,y)) * K(x,y). [para(3419(a,1),3958(a,1,1)),flip(a)]. 3965 K(R(x \ (y / z),x,y / (y / z)),x) = K(((z \ y) * z) / (x * (y / (y / z))),x). [para(3744(a,1),3898(a,2,1,1))]. 3968 (x * K(y,x)) \ z = K(x,y) * (x \ z). [hyper(189,a,3827,a(flip),b,3915,a(flip))]. 3969 K(x,y) * (x \ 1) = x \ K(x,y). [hyper(189,a,3900,a(flip),b,3968,a(flip))]. 3970 (x \ 1) / (x \ K(x,y)) = K(y,x). [para(3969(a,1),3905(a,1,2))]. 3971 (x \ 1) / (x \ K(x,y)) != z | K(y,x) = z. [para(3969(a,1),3910(a,1,2))]. 3972 (x / T(y,x)) * T(y,y \ x) = T(y * (x / y),y). [hyper(189,a,3552,a(flip),b,3814,a(flip))]. 3973 (x / T(y,x)) * T(y,y \ x) = y * (T(x,y) / y). [hyper(189,a,1176,a(flip),b,3972,a)]. 3974 T(x,x \ T(y,x)) = T(x,x \ y). [hyper(20,a,3625,a,b,3973,a),flip(a)]. 3975 T(x,y) / T(y,y \ x) = y \ T(x,y). [para(3974(a,1),174(a,1,2))]. 3976 T(x,T(x,y) \ y) = T(x,x \ y). [para(3529(a,2),3974(a,1,2))]. 3977 T(x * y,x) / T(x,y) = x \ T(x * y,x). [para(16(a,1),3975(a,1,2,2))]. 3978 (x \ T(x,y)) \ z = (T(x,y) \ x) * z. [para(3797(a,1),3695(a,1,1))]. 3979 (T(x,y) \ x) * z = x * (T(x,y) \ z). [hyper(3700,a,3978,a),flip(a)]. 3980 (T(x,y) \ x) * (T(x,y) * z) = x * z. [hyper(3494,a,3978,a),flip(a)]. 3981 (x \ T(x,y)) \ z = T(y,x) * (y \ z). [hyper(189,a,3571,a,b,3978,a)]. 3987 (T(x,y) \ x) \ z = T(x,y) * (x \ z). [hyper(75,a,17,a(flip),b,3980,a)]. 3988 T(x,y) * (x \ (T(y,x) * z)) = y * z. [hyper(189,a,3571,a,b,3980,a(flip)),flip(a)]. 3989 ((x * y) / x) \ (T(x,y) * z) = y \ (x * z). [hyper(75,a,3980,a(flip),b,3682,a),flip(a)]. 3991 T(x,y) * (T(y,x) * z) = x * (y * z). [para(3980(a,1),3546(a,1,2)),flip(a)]. 3992 x \ (((y * x) / y) * z) = T(x,y) \ (x * z). [hyper(75,a,3798,a(flip),b,3981,a(flip)),flip(a)]. 3993 T(x,y) * (T(y,x) * z) = (x * y) * L(z,y,x). [hyper(189,a,102,a,b,3991,a)]. 3994 (x * y) \ (x * (y * z)) = L(z,T(y,x),T(x,y)). [para(3991(a,1),3577(a,1,2))]. 3995 (x * (y * z)) \ ((x * y) * z) = a(T(x,y),T(y,x),z). [para(3991(a,1),3576(a,1,1))]. 3997 x \ (y * ((y \ x) * z)) = L(z,y \ x,T(y,x)). [hyper(3321,a,3989,a),flip(a)]. 3998 x \ (((y * x) / y) * z) = x * (T(x,y) \ z). [hyper(189,a,1000,a(flip),b,3992,a)]. 3999 ((x * y) / x) * (y \ z) = y * (T(y,x) \ z). [hyper(189,a,1105,a(flip),b,3998,a(flip)),flip(a)]. 4000 x * (T(x,y) \ x) != z | (y * x) / y = z. [para(3999(a,1),138(a,1))]. 4001 (x * y) \ (T(x,y) * z) = L(T(y,x) \ z,y,x). [hyper(432,a,3993,a)]. 4002 L(T(x,y) \ 1,x,y) = (y * x) \ T(y,x). [hyper(299,a,3993,a),flip(a)]. 4003 T(x,y) * (T(y,x) * z) != u | x * (y * z) = u. [para(3993(a,2),207(a,1))]. 4004 L(x,T(y,z),T(z,y)) = L(x,y,z). [hyper(355,a,3994,a),flip(a)]. 4005 L(x,y \ z,T(y,z / y)) = L(x,z / y,y). [para(115(a,1),4004(a,1,2))]. 4006 L(x,y \ z,T(y,z)) = L(x,y \ z,y). [hyper(577,a,3997,a),flip(a)]. 4007 (x * (y / x)) \ (T(x,y / x) * z) = L((x \ y) \ z,y / x,x). [para(115(a,1),4001(a,2,1,1))]. 4008 T(x,T(y,x)) * (T(y,x) * z) != u | x * (y * z) = u. [para(3521(a,2),4003(a,1,1))]. 4009 a(T(x,y),T(y,x),z) = a(x,y,z). [hyper(553,a,3995,a),flip(a)]. 4010 a(T(x,y),T(y,x),z) != u | a(x,y,z) = u. [para(3995(a,1),553(a,1))]. 4011 (R(x,y,z) * T(u,x)) * T(x,u) = (R(x,y,z) * u) * x. [hyper(189,a,382,a(flip),b,3795,a)]. 4012 T(x * y,x) * T(x,y) = (R(x,y,x) * y) * x. [para(930(a,1),4011(a,1,1))]. 4013 (R(x,y,x) * y) * x = (x * y) * R(x,y,x). [hyper(189,a,3673,a(flip),b,4012,a(flip))]. 4014 (R(x,y,x) * y) \ ((x * y) * R(x,y,x)) != z | z = x. [para(4013(a,1),237(a,1,2))]. 4015 L(K(x \ y,x) * z,K(x,x \ y),y) = (x * (y / x)) \ (y * z). [para(3889(a,1),3948(a,1,1))]. 4016 (x * (y / x)) \ (T(x,x \ y) * z) = L((x \ y) \ z,y / x,x). [para(3533(a,1),4007(a,1,2,1))]. 4017 K(x \ 1,x) * T(y,x) = x * (T((x \ 1) \ 1,y) \ y). [para(2671(a,1),3554(a,1,2))]. 4018 T(x * K(y \ 1,y),y) = y * (T((y \ 1) \ 1,x) \ x). [hyper(189,a,2493,a,b,4017,a(flip)),flip(a)]. 4019 ((T((x \ 1) \ 1,y) \ x) * T((x \ 1) \ 1,y)) * (T((x \ 1) \ 1,y) \ y) = y * T(y \ T(y * K(x \ 1,x),x),T((x \ 1) \ 1,y)). [para(4018(a,2),1244(a,2,2,1,2))]. 4020 (x * T(y,x)) / T((x \ y) * x,x) = T(x,T(x,y) \ y). [para(3525(a,1),3624(a,1,1,2))]. 4021 (x * y) / T((y \ x) * y,y) = T(y,T(y,x) \ x). [para(113(a,1),4020(a,1,1))]. 4022 (x * y) / T((y \ x) * y,y) = T(y,y \ x). [hyper(189,a,3976,a(flip),b,4021,a)]. 4023 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(3704(a,2),333(a,1))]. 4024 T(1 / x,y) * ((x \ 1) \ z) = (x * T(1 / x,y)) * z. [para(2699(a,1),3812(a,1,1)),flip(a)]. 4025 (T(1 / x,y) * z) / ((x * T(1 / x,y)) * z) = x \ 1. [para(4024(a,1),3012(a,1,2))]. 4026 T(1 / x,y) * ((x * T(1 / x,y)) \ z) = (x \ 1) * z. [para(4025(a,1),210(a,1,1)),flip(a)]. 4027 T(x,y \ 1) * (x \ (y * (T(y \ 1,x) * z))) = L(z,T(y \ 1,x),y). [hyper(189,a,3987,a(flip),b,3629,a(flip)),flip(a)]. 4028 L(R(x,y,x),y,R(x,y,x)) = x. [hyper(4014,a,3764,a)]. 4029 (x * (K(y,x) * z)) \ (x * (K(y,x) * (z * u))) = L(u,z,x * K(y,x)). [para(3828(a,1),3834(a,1,2))]. 4030 x * (T(y,x \ 1) * (y \ (T(x \ 1,y) * z))) = L(z,T(x \ 1,y),x). [hyper(189,a,3810,a(flip),b,4027,a(flip)),flip(a)]. 4031 L(x,T(y \ 1,z),y) = y * ((y \ 1) * x). [para(3988(a,1),4030(a,1,2)),flip(a)]. 4032 L(x,T(y \ 1,z),y) = L(x,y \ 1,y). [hyper(189,a,166,a(flip),b,4031,a)]. 4034 L(T(1 / x,y) \ z,x \ 1,x) = (x * T(1 / x,y)) \ (x * z). [hyper(189,a,3210,a(flip),b,4032,a(flip))]. 4036 T((x \ 1) * (x * ((y * z) / y)),y) = T(1 / x,y) * ((x * T(1 / x,y)) \ (x * z)). [para(4034(a,1),3047(a,2,2))]. 4037 (x * T(T(x,x \ y) * (x \ y),z)) / y = (x / y) * T(x * (y / x),z). [para(975(a,1),3756(a,1,1,2,1))]. 4038 (x * T(x * (y / x),z)) / y = (x / y) * T(x * (y / x),z). [para(3336(a,1),4037(a,1,1,2,1))]. 4039 ((x \ 1) \ y) * T(x \ 1,y) = (y / x) / (x \ 1). [para(784(a,1),3688(a,1,1)),flip(a)]. 4040 (x * (K(y,x) * z)) \ (x * (K(y,x) * (z * u))) = L(L(u,z,x),x * z,K(y,x)). [para(3841(a,1),3846(a,1,2))]. 4041 L(L(x,y,K(z,u)),K(z,u) * y,K(u,z)) = y \ (y * x). [para(3887(a,1),3912(a,2,2))]. 4042 L(L(x,y,K(z,u)),K(z,u) * y,K(u,z)) != w | w = x. [para(4041(a,2),237(a,1))]. 4044 L(L(x,y,z),z * y,K(u,z)) = L(x,y,z * K(u,z)). [hyper(189,a,4029,a(flip),b,4040,a(flip))]. 4045 T((x \ 1) * (x * ((y * z) / y)),y) = (x \ 1) * (x * z). [hyper(189,a,4026,a(flip),b,4036,a)]. 4046 L((x \ 1) * y,K(x,x \ 1),z) = (x \ 1) * (x * (x \ y)). [hyper(3442,a,4045,a)]. 4048 L((x \ 1) * y,K(x,x \ 1),z) = (x \ 1) * y. [hyper(189,a,89,a(flip),b,4046,a)]. 4050 (x * ((1 / y) * z)) / ((y \ 1) * z) = x * K(y,y \ 1). [para(4048(a,1),2430(a,1,2))]. 4051 R(x,K(y \ 1,y),(1 / y) * z) = K(y \ 1,y) * (x * K(y,y \ 1)). [para(4050(a,1),3455(a,1,2)),flip(a)]. 4053 R(x,K(y \ 1,y),(1 / y) * z) = x. [hyper(189,a,2481,a(flip),b,4051,a)]. 4057 R(x,K(y \ 1,y),z) = x. [para(17(a,1),4053(a,1,3))]. 4060 R(x,y,K(z \ 1,z)) = x. [hyper(189,a,3434,a(flip),b,4057,a(flip)),flip(a)]. 4061 (x * K(y \ 1,y)) * z = x * (K(y \ 1,y) * z). [para(4057(a,1),110(a,1,1)),flip(a)]. 4067 x / (y * K(z \ 1,z)) = K(z,z \ 1) * (x / y). [hyper(189,a,3242,a(flip),b,4060,a(flip)),flip(a)]. 4068 (x * y) * K(z \ 1,z) = x * (y * K(z \ 1,z)). [para(4060(a,1),110(a,1,1)),flip(a)]. 4069 x \ (y * K(z \ 1,z)) = (x \ y) * K(z \ 1,z). [para(4060(a,1),370(a,1,1))]. 4071 (x * y) \ ((x * (y * z)) * K(u \ 1,u)) = L(z,y,x) * K(u \ 1,u). [para(4060(a,1),400(a,1,1))]. 4072 R(x,y,K(z,z \ 1)) = x. [para(1536(a,1),4060(a,1,3))]. 4073 R(x,y,1 / z) = R(x,y,z \ 1). [hyper(3030,a,4072,a)]. 4076 T(x,y * K(z,z \ 1)) = T(x,y). [hyper(189,a,3232,a(flip),b,4072,a(flip))]. 4077 (x * y) * K(z,z \ 1) = x * (y * K(z,z \ 1)). [para(4072(a,1),110(a,1,1)),flip(a)]. 4079 R(x,y,1 / (1 / z)) = R(x,y,z). [para(69(a,1),4073(a,2,3))]. 4082 T(x,K(y \ 1,y) * z) = T(x,z). [para(2486(a,1),4076(a,1,2)),flip(a)]. 4083 T(x,K(y,y \ 1) * z) = T(x,z). [para(2502(a,2),4076(a,1,2))]. 4087 T(K(x,x \ 1) * y,T(z,y)) != u | T(K(x,x \ 1) * y,z) = u. [para(4083(a,1),3594(a,1,2))]. 4088 K(x \ 1,x) * (y * z) = y * (K(x \ 1,x) * z). [hyper(3245,a,4061,a)]. 4091 K(x,x \ 1) * (y * (z * K(x \ 1,x))) = y * z. [hyper(2499,a,4068,a)]. 4092 K(x \ 1,x) * (y * z) = y * (z * K(x \ 1,x)). [hyper(2477,a,4068,a)]. 4093 L(K(x \ 1,x),y,z) = K(x \ 1,x). [hyper(346,a,4068,a)]. 4095 (x * (y * K(z \ 1,z))) \ u = (x * y) \ (K(z,z \ 1) * u). [para(4068(a,1),3234(a,1,1))]. 4096 x / (y * (z * K(u \ 1,u))) = K(u,u \ 1) * (x / (y * z)). [para(4068(a,1),4067(a,1,2))]. 4098 a(x,y,K(z \ 1,z)) = 1. [hyper(37,a,4093,a)]. 4099 a(x,y,K(z,z \ 1)) = 1. [para(1536(a,1),4098(a,1,3))]. 4100 L(K(x,x \ 1),y,z) = K(x,x \ 1). [hyper(36,a,4099,a)]. 4101 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = K(x,x \ 1). [hyper(189,a,2950,a,b,4100,a(flip)),flip(a)]. 4104 (x \ (1 / y)) * K(y \ 1,y) = x \ (y \ 1). [para(1198(a,1),4069(a,1,2)),flip(a)]. 4105 (x \ (y * ((z \ 1) \ 1))) * K(z \ 1,z) = x \ (y * z). [para(2319(a,1),4069(a,1,2)),flip(a)]. 4106 x \ (K(y \ 1,y) * z) = (x \ z) * K(y \ 1,y). [para(2475(a,2),4069(a,1,2))]. 4107 K(x,x \ 1) * (y \ (x \ 1)) = y \ (1 / x). [hyper(2499,a,4104,a)]. 4108 (x \ (1 / R(y,z,u))) * K(y \ 1,y) = x \ (R(y,z,u) \ 1). [para(3174(a,1),4104(a,1,2))]. 4109 K(x,x \ 1) * (y * (K(x \ 1,x) * z)) = y * z. [hyper(3907,a,4088,a)]. 4110 x \ (K(y \ 1,y) * z) = K(y \ 1,y) * (x \ z). [hyper(432,a,4088,a)]. 4111 K(x \ 1,x) * (y \ 1) = y \ K(x \ 1,x). [hyper(299,a,4088,a),flip(a)]. 4116 K(x,x \ 1) * (y * (z / ((x \ 1) \ 1))) = y * (z / x). [para(2313(a,1),4091(a,1,2,2))]. 4117 K(x,x \ 1) * (y * z) = y * (K(x,x \ 1) * z). [para(2479(a,1),4091(a,1,2,2))]. 4118 K(x,x \ 1) * (y * ((1 / x) \ z)) = y * ((x \ 1) \ z). [para(2490(a,1),4091(a,1,2,2))]. 4119 K(x \ 1,x) * (y * T(x,z)) = y * T(1 / (1 / x),z). [para(2776(a,1),4092(a,2,2))]. 4120 (K(x,x \ 1) * y) \ z = (y \ z) * K(x \ 1,x). [hyper(189,a,3216,a,b,4106,a(flip)),flip(a)]. 4121 (K(x,x \ 1) * y) \ z = K(x \ 1,x) * (y \ z). [hyper(189,a,3216,a,b,4110,a(flip)),flip(a)]. 4122 x \ (K(y,y \ 1) * z) = K(y,y \ 1) * (x \ z). [hyper(432,a,4117,a)]. 4126 ((1 / x) \ y) * K(z \ 1,z) = (K(z,z \ 1) / x) \ y. [para(3194(a,1),4120(a,1,1)),flip(a)]. 4127 K(x \ 1,x) * ((x * y) \ z) = (((x \ 1) \ 1) * y) \ z. [para(2365(a,1),4121(a,1,1)),flip(a)]. 4128 x \ (K(y,y \ 1) * z) = (x \ z) * K(y,y \ 1). [hyper(189,a,2502,a(flip),b,4122,a)]. 4129 x \ (y * K(z,z \ 1)) = K(z,z \ 1) * (x \ y). [para(2502(a,1),4122(a,1,2))]. 4130 x \ (K(y,y \ 1) * z) != u | (x \ z) * K(y,y \ 1) = u. [para(4122(a,2),2520(a,1))]. 4131 (K(x \ 1,x) * y) \ z = K(x,x \ 1) * (y \ z). [hyper(189,a,3218,a,b,4129,a(flip)),flip(a)]. 4132 (x * y) \ ((x * (y * z)) * K(u,u \ 1)) = K(u,u \ 1) * L(z,y,x). [para(31(a,2),4129(a,2,2))]. 4133 K(x,x \ 1) * (((x \ 1) \ y) \ z) = ((1 / x) \ y) \ z. [para(2376(a,1),4131(a,1,1)),flip(a)]. 4135 T(x,y * ((1 / z) \ u)) = T(x,y * ((z \ 1) \ u)). [para(4118(a,1),4083(a,1,2)),flip(a)]. 4136 T(x,(K(y \ 1,y) * z) * ((u \ 1) \ w)) = T(x,K(y \ 1,y) * (z * ((1 / u) \ w))). [para(3184(a,1),4135(a,1,2)),flip(a)]. 4137 K(x \ 1,x) * (y * ((x \ z) \ z)) = y * T(1 / (1 / x),x \ z). [para(114(a,1),4119(a,1,2,2))]. 4138 K(x \ 1,x) * (y * ((1 / z) \ u)) = y * ((K(x,x \ 1) / z) \ u). [para(4126(a,1),4092(a,2,2))]. 4139 (x * y) \ (K(z,z \ 1) * (x * (K(z \ 1,z) * (y * u)))) = L(u,y * K(z \ 1,z),x). [hyper(3228,a,4095,a),flip(a)]. 4140 K(x \ 1,x) * (y / (z * (u * K(x \ 1,x)))) = y / (z * u). [hyper(3907,a,4096,a(flip))]. 4141 (1 / x) \ (1 / R(x,y,z)) = (x \ 1) \ (R(x,y,z) \ 1). [hyper(21,a,2490,a,b,4108,a)]. 4142 (1 / x) \ (1 / R(x,y,z)) = (x \ R(x,y,z)) \ 1. [hyper(189,a,2963,a(flip),b,4141,a)]. 4143 x / (K(y,y \ 1) * z) = K(y \ 1,y) * (x / z). [para(2480(a,1),4140(a,1,2,2)),flip(a)]. 4144 T(x,y) \ (K(z,z \ 1) * (x * y)) = T(K(z,z \ 1) * y,x). [hyper(4087,a,3260,a(flip)),flip(a)]. 4145 (T(x,y) \ (x * y)) * K(z,z \ 1) = T(K(z,z \ 1) * y,x). [hyper(4130,a,4144,a)]. 4146 T(K(x,x \ 1) * y,z) = T(y,z) * K(x,x \ 1). [para(3528(a,1),4145(a,1,1)),flip(a)]. 4147 T(K(x,x \ 1) * y,z) = K(x,x \ 1) * T(y,z). [hyper(189,a,2502,a,b,4146,a)]. 4149 K(x,x \ 1) * T(K(x,x \ 1) \ y,z) = T(y,z). [para(17(a,1),4147(a,1,1)),flip(a)]. 4151 T((x \ y) * x,z) / x = x \ T(y,z). [hyper(75,a,4149,a(flip),b,2029,a(flip)),flip(a)]. 4152 T(x * y,z) / y = y \ T(y * x,z). [para(16(a,1),4151(a,1,1,1,1))]. 4153 T((x \ y) * x,z) = (x \ T(y,z)) * x. [para(4151(a,1),19(a,1,1)),flip(a)]. 4154 x \ T(x * (y / x),z) = T(y,z) / x. [para(70(a,1),4151(a,1,1,1)),flip(a)]. 4155 (x \ T(y,z)) * x != u | T((x \ y) * x,z) = u. [para(4151(a,1),200(a,1,1)),flip(b)]. 4158 (x \ 1) * T((x \ 1) \ y,z) = T(y * x,z) / x. [hyper(189,a,729,a,b,4152,a),flip(a)]. 4159 x * (T(y * x,z) / x) = T(x * y,z). [para(4152(a,2),17(a,1,2))]. 4160 (x \ T(x * y,z)) * x = T(y * x,z). [para(4152(a,1),19(a,1,1))]. 4161 T(x \ T(x * y,z),x) = x \ T(y * x,z). [para(4152(a,1),115(a,1,1))]. 4166 T((x \ (y / z)) * x,z) = (x \ (z \ y)) * x. [para(115(a,1),4153(a,2,1,2))]. 4168 T(x * (y / x),z) = x * (T(y,z) / x). [para(4154(a,1),17(a,1,2)),flip(a)]. 4170 x \ T(T(x,y) * y,z) = T(x * y,z) / x. [para(3322(a,2),4154(a,1,2,1))]. 4171 T(x,y) \ T(x * (y / x),z) = T(y,z) / T(x,y). [para(3733(a,1),4154(a,1,2,1))]. 4172 (x \ y) * (T(y,z) / (x \ y)) = T((x \ y) * x,z). [para(17(a,1),4159(a,1,2,1,1))]. 4177 T((x * (y \ 1)) * y,z) = (T(x,z) * (y \ 1)) * y. [para(767(a,1),4160(a,1,1)),flip(a)]. 4178 T(x,y) \ T(z * (x / z),y) = K(z,z \ T(x,y)). [hyper(75,a,4168,a,b,3903,a)]. 4179 T(x * ((y / z) / x),z) = x * ((z \ y) / x). [para(115(a,1),4168(a,2,2,1))]. 4181 (x * T(x * (y / x),z)) / y = (T(x,x \ T(y,z)) / y) * T(y,z). [para(4168(a,2),3343(a,1,1,2))]. 4182 T(x * (y / x),z) \ T(y,z) = K(x \ T(y,z),x). [para(4168(a,2),3926(a,1,1))]. 4183 ((x \ (y / z)) * x) * z = z * ((x \ (z \ y)) * x). [para(4166(a,1),113(a,1,2)),flip(a)]. 4184 (x * ((y \ (x \ z)) * y)) / x = (y \ (z / x)) * y. [para(4166(a,1),143(a,1,1,2))]. 4185 (x * ((y / z) / x)) * z = z * (x * ((z \ y) / x)). [para(4179(a,1),113(a,1,2)),flip(a)]. 4186 (x \ K(y,z)) * x != u | T((x \ K(y,z)) * x,T(z,w)) = u. [para(2781(a,1),4155(a,1,1,2))]. 4187 ((x * ((y * x) \ y)) \ 1) * T(((x * ((y * x) \ y)) \ 1) \ (1 / ((y * x) \ y)),z) = T(x,z) / (x * ((y * x) \ y)). [para(1237(a,1),4158(a,2,1,1))]. 4188 T(x,y) \ T(T(x,y) * ((z * (x / z)) / T(x,y)),u) = T(z * (x / z),u) / T(T(x,y),z * (x / z)). [para(3781(a,1),4171(a,1,1))]. 4189 (x \ y) \ T((x \ y) * x,z) != u | T(y,z) / (x \ y) = u. [para(4172(a,1),237(a,1,2)),flip(b)]. 4190 R((x \ (y / z)) * x,z,z \ 1) / (z \ 1) = z * ((x \ (z \ y)) * x). [hyper(3257,a,4183,a)]. 4191 (x \ y) * ((z \ ((x \ y) \ y)) * z) = ((z \ x) * z) * (x \ y). [para(67(a,1),4183(a,1,1,1,2)),flip(a)]. 4192 x * (y * T(y \ (x \ z),y)) = ((y \ (z / x)) * y) * x. [para(113(a,2),4183(a,2,2)),flip(a)]. 4193 ((x \ R(1 / y,y,z)) * x) * (y * z) = (y * z) * ((x \ ((y * z) \ z)) * x). [para(141(a,2),4183(a,1,1,1,2))]. 4194 (x * ((y \ z) * y)) / x = (y \ ((x * z) / x)) * y. [para(16(a,1),4184(a,1,1,2,1,2))]. 4195 (x * ((y / (y * z)) / x)) * (y * z) = (y * z) * (x * (L(z \ 1,z,y) / x)). [para(140(a,2),4185(a,2,2,2,1))]. 4196 (x \ ((x * y) / x)) * x = (x \ y) * T(x,y). [hyper(3621,a,4194,a),flip(a)]. 4197 x \ (((x \ 1) * y) / (x \ 1)) = (x \ 1) * ((x \ y) / (x \ 1)). [hyper(3406,a,4194,a),flip(a)]. 4198 ((x \ 1) \ (((x \ 1) * y) / (x \ 1))) * (x \ 1) = (y / x) / (x \ 1). [hyper(189,a,4039,a(flip),b,4196,a)]. 4199 (x * y) * T((x * y) \ z,y) = ((y \ (z / x)) * y) * x. [hyper(189,a,713,a,b,4192,a(flip)),flip(a)]. 4200 x \ (((x \ 1) * y) / (x \ 1)) = ((x \ 1) * (x \ y)) * x. [hyper(189,a,476,a(flip),b,4197,a)]. 4201 x * (((x \ 1) * (x \ y)) * x) = ((x \ 1) * y) / (x \ 1). [para(4200(a,1),17(a,1,2))]. 4202 ((x \ 1) * y) / (x \ 1) != x * z | ((x \ 1) * (x \ y)) * x = z. [para(4201(a,1),22(a,1))]. 4203 (T(x,x \ T(y,z)) / y) * T(y,z) = (x / y) * T(x * (y / x),z). [hyper(189,a,4038,a(flip),b,4181,a(flip))]. 4204 x * ((((x \ 1) * y) / (x \ 1)) * (1 / x)) = (y / x) / (x \ 1). [hyper(189,a,1892,a(flip),b,4198,a(flip)),flip(a)]. 4205 x * (((x \ 1) * y) * K(x,x \ 1)) = (y / x) / (x \ 1). [para(2267(a,1),4204(a,1,2))]. 4206 (x / y) / (y \ 1) = y * ((1 / y) * x). [para(2507(a,1),4205(a,1,2)),flip(a)]. 4207 x * ((1 / x) * (y * x)) = y / (x \ 1). [para(18(a,1),4206(a,1,1)),flip(a)]. 4208 L(x,y,y \ 1) * y = x / (y \ 1). [hyper(2395,a,4207,a)]. 4209 x \ (y / (x \ 1)) = (1 / x) * (y * x). [hyper(80,a,4207,a)]. 4210 x * ((x \ 1) * y) = L(y,x,x \ 1). [hyper(21,a,651,a,b,4208,a),flip(a)]. 4211 L(x * y,y,y \ 1) = y * ((y \ x) * y). [para(486(a,1),4210(a,1,2)),flip(a)]. 4212 L(x,y,y \ 1) != z | L(x,y \ 1,y) = z. [para(4210(a,1),357(a,1))]. 4213 ((1 / x) * (y * x)) * x = ((x \ 1) * y) * (x * x). [para(4209(a,1),946(a,1,1))]. 4214 L(x * y,y,y \ 1) = x / (1 / y). [hyper(189,a,468,a(flip),b,4211,a)]. 4215 (x / y) / (1 / y) = L(x,y,y \ 1). [para(19(a,1),4214(a,1,1)),flip(a)]. 4216 L(x,y,y \ 1) * (1 / y) = x / y. [para(4215(a,1),19(a,1,1))]. 4218 (1 / x) * (x * y) != z | L(y,x \ 1,x) = z. [para(2374(a,2),4212(a,1))]. 4219 ((x \ 1) * y) / (x \ 1) = (1 / x) * (y * x). [hyper(21,a,688,a,b,4213,a),flip(a)]. 4220 L(T(x,y),y,y \ 1) = ((y \ 1) * x) / (y \ 1). [hyper(189,a,2384,a,b,4219,a),flip(a)]. 4221 ((x \ 1) * y) / (x \ 1) = x * ((x \ 1) * T(y,x)). [hyper(189,a,4210,a,b,4220,a(flip))]. 4222 ((x \ 1) * (x \ y)) * x = (x \ 1) * T(y,x). [hyper(4202,a,4221,a)]. 4223 T(x,y) = (y \ x) / (y \ 1). [hyper(652,a,4222,a(flip)),flip(a)]. 4224 T(x,y) = ((1 / y) * x) * y. [hyper(189,a,847,a(flip),b,4223,a)]. 4225 T(x,y) / y = (1 / y) * x. [hyper(76,a,4223,a,b,847,a(flip))]. 4227 T(x * y,x) = y / (x \ 1). [para(16(a,1),4223(a,2,1))]. 4228 T(x,y) * (y \ 1) = y \ x. [para(4223(a,2),19(a,1,1))]. 4229 x / T(y,x) = (1 / y) * x. [hyper(3550,a,4224,a)]. 4230 T((1 / x) \ y,x) = y * x. [hyper(189,a,91,a(flip),b,4224,a)]. 4231 (x * y) * (x \ 1) = T(y,x \ 1). [para(67(a,1),4224(a,2,1,1)),flip(a)]. 4232 T(x,y) = ((1 / x) * y) \ y. [para(4225(a,1),3553(a,1,1)),flip(a)]. 4234 T(T(x,y) * y,x) = ((x * y) / x) / (x \ 1). [para(3322(a,2),4227(a,1,1))]. 4235 K(x \ (y / (x \ 1)),x) = K(y,x). [para(4227(a,1),3677(a,1,1,2))]. 4236 K(x / (y \ 1),y) = K(y * x,y). [para(4227(a,1),3876(a,1,1))]. 4237 T(K(x,y) * z,K(x,y)) != u | z * K(x,y) = u. [para(4227(a,2),3943(a,1))]. 4238 x \ ((x * y) / x) = y * (x \ 1). [para(142(a,1),4228(a,1,1)),flip(a)]. 4240 x / T(y \ 1,x) = y * x. [hyper(189,a,126,a(flip),b,4229,a)]. 4241 (1 / x) * y != z | T(y,x) / x = z. [para(4229(a,1),3580(a,1))]. 4242 T(x \ y,x \ 1) = y * (x \ 1). [para(67(a,1),4230(a,1,1,1))]. 4243 ((1 / x) \ y) * x = x * (y * x). [para(4230(a,1),113(a,1,2)),flip(a)]. 4244 T(x \ 1,y) = (x * y) \ y. [para(67(a,1),4232(a,2,1,1))]. 4245 T(x \ 1,x) = 1 / x. [hyper(189,a,1888,a(flip),b,4244,a)]. 4246 T(x \ 1,x \ y) = y \ (x \ y). [hyper(189,a,245,a(flip),b,4244,a)]. 4247 T((x / y) \ 1,y) = x \ y. [para(19(a,1),4244(a,2,1))]. 4248 T(T(x,y) \ 1,y \ 1) = (y \ x) \ (y \ 1). [para(4228(a,1),4244(a,2,1))]. 4249 ((x \ 1) \ 1) \ 1 = 1 / x. [hyper(3540,a,4245,a)]. 4250 1 / (1 / x) = (x \ 1) \ 1. [para(4245(a,1),633(a,1,2))]. 4251 ((x / y) \ 1) * y = y * (x \ y). [para(4247(a,1),113(a,1,2)),flip(a)]. 4252 K((x / y) \ 1,y) = K(x \ y,y). [para(4247(a,1),3876(a,1,1)),flip(a)]. 4253 T((x \ 1) \ 1,y) \ 1 = 1 / T(x,y). [para(2095(a,1),4249(a,1,1))]. 4254 K(1 / x,y) != z | K(x \ 1,y) = z. [para(4249(a,1),2659(a,1,1))]. 4255 ((x \ 1) \ 1) \ 1 != y | 1 / x = y. [para(4250(a,1),236(a,1,1)),flip(b)]. 4257 K(x * (y \ 1),y) = K(y \ x,y). [para(18(a,1),4235(a,1,1,2)),flip(a)]. 4258 ((x * y) / x) \ x = x * (y \ 1). [hyper(189,a,3697,a,b,4238,a(flip)),flip(a)]. 4259 x * (y * (x \ 1)) = (x * y) / x. [para(4238(a,1),17(a,1,2))]. 4261 L(x,y,x) * y = (1 / x) \ y. [hyper(21,a,3599,a,b,4243,a),flip(a)]. 4262 K(x \ (y \ x),y \ x) = K(y \ 1,y \ x). [para(4246(a,1),3876(a,1,1))]. 4263 ((x \ 1) \ y) / y = ((x \ y) / y) \ 1. [hyper(76,a,3631,a(flip),b,4251,a)]. 4264 K(x * (1 / y),y) = K(y \ x,y). [hyper(189,a,3123,a,b,4257,a(flip)),flip(a)]. 4265 x * (T(y,x) \ 1) = y \ x. [para(143(a,1),4258(a,1,1)),flip(a)]. 4266 T(K(x,y),z) \ 1 = T(K(y,x),z). [hyper(147,a,3889,a(flip),b,4265,a),flip(a)]. 4267 T(x,y) \ 1 = y \ (x \ y). [hyper(80,a,4265,a),flip(a)]. 4268 T(T(x,y) \ 1,y \ 1) = (x \ y) * (y \ 1). [para(4265(a,1),4231(a,1,1)),flip(a)]. 4269 T(x,y) = 1 / (y \ (x \ y)). [para(4267(a,1),67(a,1,2)),flip(a)]. 4270 x / (T(y,x) \ 1) = (1 / y) \ x. [para(4267(a,2),3641(a,1,2))]. 4271 ((x * y) \ y) \ 1 = y \ ((x \ 1) \ y). [para(4244(a,1),4267(a,1,1))]. 4272 T(x / y,x) = 1 / (x \ y). [para(69(a,1),4269(a,2,2,2))]. 4273 ((x \ y) * x) * (y \ 1) = K(x \ y,x). [hyper(20,a,3777,a(flip),b,4259,a)]. 4274 ((x * y) / x) * L(z,y * (x \ 1),x) = x * ((y * (x \ 1)) * z). [para(4259(a,1),102(a,1,1))]. 4275 K((x \ 1) \ y,x \ 1) = K(y * x,x \ 1). [para(67(a,1),4264(a,1,1,2)),flip(a)]. 4276 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(4266(a,1),369(a,1,2)),flip(a)]. 4277 x / (T(y \ 1,x) \ 1) = y \ x. [para(67(a,1),4270(a,2,1))]. 4278 x / ((y \ x) \ 1) = (y / x) \ x. [para(4247(a,1),4277(a,1,2,1))]. 4279 ((x / y) \ y) \ y = (x \ y) \ 1. [para(4278(a,1),69(a,1,1))]. 4281 L(x,y,y \ 1) != z | T(y * x,y) / y = z. [para(2374(a,1),4241(a,1))]. 4282 K(x,y) != z | K((x \ 1) \ 1,y) = z. [para(67(a,1),4254(a,1,1))]. 4284 L(K(x,y),z,u) \ 1 != w | 1 / L(K(x,y),z,u) = w. [para(2194(a,1),4255(a,1,1))]. 4285 x / (1 / T(y,x)) = (y \ 1) \ x. [para(4253(a,1),4277(a,1,2))]. 4286 ((x \ 1) \ y) \ y = 1 / T(x,y). [para(4285(a,1),69(a,1,1))]. 4287 1 / T(x,x \ y) = T(x \ 1,y). [hyper(189,a,3691,a(flip),b,4286,a(flip))]. 4288 x / (1 / T(y,x)) != z | (y \ 1) \ x = z. [para(4286(a,1),246(a,1,2)),flip(b)]. 4289 ((x \ y) * x) / y = K(x \ y,x). [hyper(189,a,3465,a(flip),b,4273,a(flip)),flip(a)]. 4290 K(x \ (x * y),x) = (y * x) * ((x * y) \ 1). [para(16(a,1),4273(a,1,1,1)),flip(a)]. 4291 K(x \ y,x) * y = (x \ y) * x. [para(4289(a,1),19(a,1,1))]. 4293 K(x,x \ y) * ((x \ y) * x) = y. [hyper(3907,a,4291,a)]. 4294 x / ((y \ x) * y) = K(y,y \ x). [para(4291(a,1),3905(a,1,2))]. 4295 (x \ y) * K(x,x \ y) = y / x. [hyper(76,a,4293,a(flip),b,3832,a),flip(a)]. 4296 K(x,x \ y) * (x \ y) = y / x. [hyper(76,a,4293,a(flip),b,3820,a),flip(a)]. 4298 (x * (y / x)) / y = K(x,x \ y). [hyper(189,a,3805,a,b,4294,a(flip)),flip(a)]. 4301 K(x,x \ y) / (y / x) = 1 / (x \ y). [para(4295(a,1),2937(a,1,2))]. 4302 (x \ y) * (K(x,x \ y) * z) = (y / x) * z. [para(4295(a,1),3828(a,1,1)),flip(a)]. 4303 K(x,x \ y) * ((x \ y) * z) = (y / x) * z. [para(4295(a,1),3832(a,1,1)),flip(a)]. 4304 (x / y) * ((y \ x) \ z) = K(y,y \ x) * z. [para(4295(a,1),3840(a,1,1))]. 4305 (x \ y) * K(x,y / x) = y / x. [para(3873(a,2),4295(a,1,2))]. 4308 K(x \ y,x) * ((x \ y) \ z) = (y / x) \ z. [para(4295(a,1),3968(a,1,1)),flip(a)]. 4310 (x * K(x \ y,x)) \ y = y / x. [hyper(189,a,3968,a,b,4296,a(flip)),flip(a)]. 4312 K(x,y / x) * (x \ y) = y / x. [para(3873(a,2),4296(a,1,1))]. 4314 K(x,x \ y) * y = x * (y / x). [para(4298(a,1),19(a,1,1))]. 4318 x / (x / y) = y * K(y \ x,y). [para(4310(a,1),67(a,1,2))]. 4320 T(x,K(y,y \ x)) = x. [hyper(3947,a,4314,a)]. 4321 K(x \ y,x) * (x * (y / x)) = y. [hyper(3907,a,4314,a)]. 4323 (x * (y / x)) \ (K(x,x \ y) * (y * z)) != u | L(z,y,K(x,x \ y)) = u. [para(4314(a,1),355(a,1,1))]. 4324 K(x,y / x) * y = x * (y / x). [para(3873(a,2),4314(a,1,1))]. 4325 x / (x / y) = K(y \ x,y) * y. [hyper(189,a,2754,a,b,4318,a)]. 4326 ((x \ y) * x) \ (y / (y / x)) = y \ x. [hyper(75,a,4318,a,b,1209,a)]. 4329 (x * y) / ((x * y) / x) = x * K(y,x). [para(16(a,1),4318(a,2,2,1))]. 4331 (x \ y) * K((x \ y) \ y,x \ y) = y / x. [para(67(a,1),4318(a,1,2)),flip(a)]. 4334 R(x * K(x \ y,x),z,u) * (y / x) = (y / x) * R(x,z,u). [para(4318(a,1),514(a,1,1,1))]. 4335 T(x,y) * K(T(x,y) \ y,T(x,y)) = y / (T(y,x) / x). [para(3523(a,2),4318(a,1,2)),flip(a)]. 4336 T(x * K(x \ y,x),y) = L(x,x \ y,x). [para(4318(a,1),3643(a,1,1))]. 4337 T(x,y) / (T(x,y) / y) = y * K(y \ x,y). [para(3678(a,1),4318(a,2,2))]. 4340 (x / (x / y)) \ 1 = y \ K(y,y \ x). [para(4318(a,2),3900(a,1,1))]. 4343 ((x * (y / x)) \ T((x * (y / x)) * K(x \ y,x),z)) * (x * (y / x)) = T(y,z). [para(4321(a,1),4160(a,2,1))]. 4344 K(x,y \ 1) * (y \ x) = x * ((y \ x) / x). [para(3738(a,1),4324(a,1,1))]. 4345 K(x,x \ y) * (y / (y / x)) = x. [hyper(3907,a,4325,a(flip))]. 4350 K(x,y) = T(y,x) \ y. [hyper(3389,a,4329,a),flip(a)]. 4351 K(x,y) = T(y,T(x,y)) \ y. [hyper(3938,a,4350,a)]. 4352 K(x \ (x / y),x) = K(y \ 1,x). [hyper(189,a,3567,a,b,4350,a),flip(a)]. 4353 K(x,y) = (x * y) / (y * x). [hyper(189,a,3502,a,b,4350,a)]. 4354 K(x,y) = ((y * x) / y) \ x. [hyper(189,a,3290,a,b,4350,a)]. 4355 K(x,y) = (1 / T(y,x)) * y. [hyper(189,a,2743,a,b,4350,a)]. 4356 K(x,y) = y / T(y,x). [hyper(189,a,2742,a,b,4350,a)]. 4357 K(x,y) = (T(y,x) \ 1) * T(y,y \ 1). [hyper(189,a,2540,a,b,4350,a)]. 4358 K(x,y) = y * (T(y,x) \ 1). [hyper(189,a,987,a,b,4350,a)]. 4359 x * T(x \ 1,y) = K(x \ 1,y). [hyper(189,a,3568,a(flip),b,4350,a),flip(a)]. 4360 K(x,y) = x \ T(x,y). [hyper(189,a,3542,a(flip),b,4350,a)]. 4362 K(x,y) / y = 1 / T(y,x). [hyper(76,a,4350,a,b,2743,a)]. 4363 (T(x,y) \ 1) \ K(y,x) = T(x,x \ 1). [hyper(75,a,4350,a,b,2540,a)]. 4364 T(x,y) \ 1 = x \ K(y,x). [hyper(75,a,4350,a,b,987,a),flip(a)]. 4365 T(x,y) * K(y,x) = x. [para(4350(a,2),17(a,1,2))]. 4366 R(T(x,y),z,u) \ R(x,z,u) = K(y,R(x,z,u)). [para(45(a,2),4350(a,2,1)),flip(a)]. 4367 T(x,y) = x / K(y,x). [para(4350(a,2),67(a,1,2)),flip(a)]. 4369 (x \ 1) * K(y,x) = T(x,y) \ 1. [para(4350(a,2),2738(a,1,2))]. 4370 K(x,y) * T(y,x) = y. [para(4350(a,2),2745(a,1,1))]. 4371 T(x,y) = K(y,x) \ x. [para(4350(a,2),2746(a,1,1)),flip(a)]. 4372 K(x,y) * ((y * x) / y) = x. [para(4350(a,2),3291(a,1,1))]. 4373 K(x,y) * (y * x) = x * y. [para(4350(a,2),3500(a,1,1))]. 4374 T(x * K(y,x),y) = x. [para(4350(a,2),3543(a,1,1,2))]. 4375 (x * y) / x = y * K(x,y). [para(4350(a,2),3544(a,2,2))]. 4376 x * (K(x,y) * z) = T(x,y) * z. [para(4350(a,2),3546(a,1,2,1))]. 4377 T(x,y) * (x \ z) = K(x,y) * z. [para(4350(a,2),3571(a,2,1))]. 4378 K(x / y,z) * x = y * T(y \ x,z). [para(4350(a,2),3623(a,1,1))]. 4379 ((x * y) / x) \ x = y \ (x * K(y,x)). [para(4350(a,2),3683(a,1,2,2)),flip(a)]. 4381 x * ((y \ (x \ y)) * y) = y * K(x \ 1,y). [para(4350(a,2),3630(a,1,2)),flip(a)]. 4382 x * (T(x,y) \ z) = K(y,x) * z. [para(4350(a,2),3979(a,1,1)),flip(a)]. 4383 K(x,y) * (T(y,x) * z) = y * z. [para(4350(a,2),3980(a,1,1))]. 4384 x * K(y,x) != z | (y * x) / y = z. [para(4350(a,2),4000(a,1,2))]. 4385 T(x,y) / T(T(x,z),y) = K(z,T(x,y)). [para(41(a,1),4356(a,2,2)),flip(a)]. 4386 K(x,y) \ y != z | T(y,x) = z. [para(4356(a,2),236(a,1,1)),flip(b)]. 4387 ((x \ (y * T(x,z))) * x) / T(x,z) = K(z,x) * T((x / T(x,z)) \ y,x). [para(4356(a,2),1579(a,1,1)),flip(a)]. 4388 x * ((y * (x \ 1)) / y) = K(y,x \ 1). [hyper(189,a,3285,a,b,4360,a),flip(a)]. 4390 K(x,y) = (1 / x) * T(x,y). [hyper(189,a,2802,a,b,4360,a)]. 4391 K(x,y) = T(x,y) * (x \ 1). [hyper(189,a,773,a,b,4360,a)]. 4392 x * T(x \ 1,y) = K(1 / x,y). [hyper(189,a,765,a(flip),b,4360,a),flip(a)]. 4393 x \ K(y,x \ 1) = (y * (x \ 1)) / y. [hyper(75,a,4360,a,b,3285,a)]. 4395 K(x \ (x * y),z) = y \ T(y,z). [hyper(189,a,1215,a,b,4360,a(flip)),flip(a)]. 4396 T(x,y) = x * K(x,y). [para(4360(a,2),17(a,1,2)),flip(a)]. 4397 L(x,y,z) \ L(T(x,u),y,z) = K(L(x,y,z),u). [para(43(a,2),4360(a,2,2)),flip(a)]. 4398 R(x,y,z) \ R(T(x,u),y,z) = K(R(x,y,z),u). [para(45(a,2),4360(a,2,2)),flip(a)]. 4399 x * K(x,y) != z | T(x,y) = z. [para(4360(a,2),203(a,1,2)),flip(b)]. 4401 K(x,y) * ((x \ 1) \ z) = z * T(z \ ((x \ 1) \ z),y). [para(4360(a,2),918(a,1,1))]. 4402 K(a(x,y,z),z \ L(z,y,x)) = a(x,y,z) \ ((a(x,y,z) \ 1) \ 1). [para(2218(a,1),4360(a,2,2))]. 4403 T(x,y) = K(x,y) * x. [para(4360(a,2),2799(a,1,1)),flip(a)]. 4404 K(x,y) * x != z | T(x,y) = z. [para(4360(a,2),2803(a,1,1))]. 4405 (x * K(y,x)) * y = y * x. [para(4360(a,2),3279(a,1,1,2))]. 4407 K(x,y) * (x * z) = T(x,y) * z. [para(4360(a,2),3477(a,1,1))]. 4408 x \ T(x,x * y) = K(x,y * x). [para(3507(a,1),4360(a,2,2)),flip(a)]. 4412 T(x,y) * (K(y,x) * z) = x * z. [para(4365(a,1),3837(a,1,1)),flip(a)]. 4413 x \ T(x,y) != z | K(x,y) = z. [para(4365(a,1),3922(a,1,1))]. 4414 T(x,y) != z | x * K(x,y) = z. [para(4367(a,2),3930(a,1))]. 4415 x / T(x,y) != z | K(y,x) = z. [para(4370(a,1),248(a,1,1)),flip(b)]. 4416 T(x,(y \ x) \ 1) = T(x,x \ y). [hyper(189,a,3651,a,b,4371,a),flip(a)]. 4417 T(x,y) = (K(y,x) / x) \ 1. [hyper(189,a,3079,a,b,4371,a)]. 4419 K(x \ y,x) * R(T(x,x \ y),z,u) = y \ ((R(x,z,u) * (x \ y)) * x). [para(4371(a,2),2021(a,1,2,1))]. 4420 T(T(x * K(y,x),z),y) = T(x,z). [para(4374(a,1),41(a,1,1)),flip(a)]. 4422 (x * y) / x != z | y * K(x,y) = z. [para(4374(a,1),250(a,1,1,2)),flip(b)]. 4423 T(x * K(y,x),z) * y = y * T(x,z). [para(4374(a,1),158(a,1,2,1)),flip(a)]. 4424 T(x * K(y,x),z) = (y * T(x,z)) / y. [para(4374(a,1),178(a,1,1,2,1)),flip(a)]. 4425 L(x * K(y,x),z,u) * y = y * L(x,z,u). [para(4374(a,1),159(a,1,2,1)),flip(a)]. 4426 R(x * K(y,x),z,u) * y = y * R(x,z,u). [para(4374(a,1),160(a,1,2,1)),flip(a)]. 4427 R(T(x * K(y,x),z),u,w) * y = y * R(T(x,z),u,w). [para(4374(a,1),509(a,1,2,1,1)),flip(a)]. 4428 T(x * K(y,x),R(x * K(y,x),z,u) * y) = L(x,y,R(x * K(y,x),z,u)). [para(4374(a,1),1287(a,1,1)),flip(a)]. 4429 K(x,y * K(x,y)) = K(x,y). [para(4374(a,1),3874(a,1,2)),flip(a)]. 4430 K(x * K(y,x),y) = K(x,y). [para(4374(a,1),3876(a,1,1)),flip(a)]. 4431 T(x * K(y,x),T(y,x)) = x. [para(3876(a,1),4374(a,1,1,2))]. 4432 x * K(K(y,z),x) = T(x,K(z,y)). [para(4374(a,1),3959(a,1,1)),flip(a)]. 4433 x * K(x,y \ x) = T(x,x / y). [hyper(3341,a,4396,a),flip(a)]. 4436 T(x,y) != x * z | K(x,y) = z. [para(4396(a,2),22(a,1))]. 4440 (x * y) * K(y,z) != u * T(y,z) | R(x,y,K(y,z)) = u. [para(4396(a,2),376(a,2,2))]. 4442 (1 / x) * K(x \ 1,y) = T(1 / x,y). [para(2647(a,1),4396(a,2,2)),flip(a)]. 4443 T(x,T((y \ 1) \ 1,z)) = T(x,y * K(y,z)). [para(4396(a,1),2676(a,2,2))]. 4444 T(x,y) / (y \ x) = y * K(x,y). [hyper(76,a,4403,a,b,3840,a)]. 4445 T(K(x,y),z) * K(y,x) = K(K(x,y),z). [hyper(3929,a,4403,a(flip))]. 4446 K(L(x,y,z),u) * L(x,y,z) = L(T(x,u),y,z). [hyper(189,a,43,a,b,4403,a(flip))]. 4448 R(T(x,y),z,u) / R(x,z,u) = K(R(x,z,u),y). [hyper(76,a,45,a,b,4403,a(flip))]. 4451 x * (K(y,x) * y) = y * x. [para(4403(a,1),113(a,1,2))]. 4453 (x * K(y,z)) \ (x * T(y,z)) != u | L(y,K(y,z),x) = u. [para(4403(a,2),355(a,1,2,2))]. 4455 (T(x,y) * y) / T(x,y) = y * K(x,y). [para(4351(a,2),3544(a,2,2))]. 4457 R(T(K(x,y),(y * x) * z),y * x,z) = ((y * x) * z) \ ((x * y) * z). [para(4353(a,2),720(a,1,1,1))]. 4458 (x * y) \ T((x * y) * K(y,x),z) = T(y * x,z) / (x * y). [para(4353(a,2),4154(a,1,2,1,2))]. 4459 K(x,x \ 1) / ((y * x) \ y) = 1 / T((y * x) \ y,x). [hyper(76,a,1990,a(flip),b,4355,a(flip))]. 4461 T(x \ 1,y) * x = K(x \ y,x). [para(4287(a,1),4355(a,2,1)),flip(a)]. 4462 L(T(x \ y,z) \ 1,x \ y,x) = y \ (x * K(z,x \ y)). [para(4358(a,2),103(a,1,2,2)),flip(a)]. 4463 K(x,y) * T(K(y,x),z) = K(z,K(x,y)). [para(4266(a,1),4358(a,2,2)),flip(a)]. 4465 ((x \ y) \ y) \ 1 = x \ K(x \ y,x). [hyper(189,a,523,a(flip),b,4364,a(flip)),flip(a)]. 4466 T(x,y) = 1 / (x \ K(y,x)). [para(4364(a,1),67(a,1,2)),flip(a)]. 4467 1 / (x \ K(y,x)) != z | T(x,y) = z. [para(4364(a,1),246(a,1,2)),flip(b)]. 4468 (x * y) / x = K(x,y) * y. [hyper(3907,a,4372,a),flip(a)]. 4469 K(x,y) = x / ((y * x) / y). [hyper(88,a,4372,a),flip(a)]. 4470 K(L(x,y,z),z * y) * ((z * (y * x)) / (z * y)) = L(x,y,z). [para(102(a,1),4372(a,1,2,1))]. 4472 K(L(x,y,z),z * y) * (z * (y * x)) = L(x,y,z) * (z * y). [para(102(a,1),4373(a,1,2))]. 4473 (x * (y * x)) / (x * y) = x * K(y,x). [para(4373(a,1),3829(a,1,1,2))]. 4474 (x * y) * K(T(y,x),x * y) = T(y,x * y) * T(x,y). [hyper(3813,a,4375,a),flip(a)]. 4475 T(x,y) * K(x * y,T(x,y)) = R(x,y,x). [hyper(3666,a,4375,a),flip(a)]. 4476 T((x * y) / x,z) = T(y,z) * K(x,T(y,z)). [hyper(332,a,4375,a)]. 4477 (x \ 1) \ K(y,x) = (y * ((x \ 1) \ 1)) / y. [hyper(189,a,3086,a(flip),b,4375,a),flip(a)]. 4478 (x * y) \ ((x * y) / x) = L(x \ 1,x,y). [hyper(75,a,4375,a,b,1214,a)]. 4479 x * ((y * z) / y) = x * (z * K(y,z)). [hyper(24,a,4375,a)]. 4480 x \ T(x * y,y) = y * K(x * y,y). [hyper(189,a,3338,a(flip),b,4375,a(flip)),flip(a)]. 4481 (x * y) / x != y * z | K(x,y) = z. [para(4375(a,2),22(a,1))]. 4482 T(x * K(y,x),y) != z | z = x. [para(4375(a,1),242(a,1,1))]. 4483 ((x * y) * z) / R(x,y,z) = (y * z) * K(R(x,y,z),y * z). [para(110(a,1),4375(a,1,1))]. 4484 R(x * K(y,x),y,z) = ((y * x) * z) / (y * z). [para(4375(a,1),111(a,1,1))]. 4485 T(x * K(y,x),x * y) = L(x,y,x). [para(4375(a,1),563(a,1,1))]. 4486 T(T(x * K(y,x),z),y) != u | T(x,z) = u. [para(4375(a,1),548(a,1,1,1))]. 4487 T(x * K(y * x,x),y) = R(x,y,x). [para(4375(a,1),603(a,2,1)),flip(a)]. 4488 L(x * K(y,x),z,u) = (y * L(x,z,u)) / y. [para(4375(a,1),662(a,1,1))]. 4489 R(x * K(y,x),z,u) = (y * R(x,z,u)) / y. [para(4375(a,1),670(a,1,1))]. 4490 L(x * K(y * z,x),z,y) = (y * (z * x)) / (y * z). [para(4375(a,1),663(a,1,1))]. 4491 ((x * y) * L(y,z,u)) / (x * L(y,z,u)) = y * K(x * L(y,z,u),y). [para(1248(a,1),4375(a,1,1))]. 4492 ((x * y) * T(y,z)) / (x * T(y,z)) = y * K(x * T(y,z),y). [para(1476(a,1),4375(a,1,1))]. 4493 ((x * y) * R(y,z,u)) / (x * R(y,z,u)) = y * K(x * R(y,z,u),y). [para(1643(a,1),4375(a,1,1))]. 4494 ((x * y) * R(T(x,y),z,u)) / (R(x,z,u) * y) = T(x,y) * K(R(x,z,u) * y,T(x,y)). [para(1664(a,1),4375(a,1,1))]. 4496 ((x * y) / x) * z = y * (K(x,y) * z). [para(4375(a,2),3828(a,1,1))]. 4497 ((x * y) / x) \ 1 = y \ K(y,x). [para(4375(a,2),3900(a,1,1))]. 4499 (x \ (y * K(x,y))) * x = (x \ y) * T(x,y). [para(4375(a,1),4196(a,1,1,2))]. 4503 (x * T(y,z)) \ (x * K(y,z)) != u | L(y \ 1,T(y,z),x) = u. [para(4391(a,2),355(a,1,2,2))]. 4504 T(x,y) * K(y * R(x,z,u),T(x,y)) = R(x,y,R(x,z,u)). [hyper(21,a,1667,a,b,4405,a)]. 4505 T(x,y) * K(y * x,T(x,y)) = R(x,y,x). [hyper(21,a,614,a,b,4405,a)]. 4506 ((x * y) * z) / (x * z) != u | R(y * K(x,y),x,z) = u. [para(4405(a,1),385(a,1,1,1))]. 4507 L(x * K(y,x),K(x * K(y,x),y),z) = (z * K(x,y)) \ (z * x). [para(4430(a,2),3904(a,1,2))]. 4508 L(x * K(y,x),z,u) * T(y,x) = T(y,x) * L(x,z,u). [para(4431(a,1),159(a,1,2,1)),flip(a)]. 4509 (x * y) \ (y * (K(x,y) * (x * z))) = L(z,x,y * K(x,y)). [para(4451(a,1),4029(a,1,1))]. 4510 ((x * ((y * z) / y)) / x) / ((x * z) / x) = K(y,(x * z) / x). [hyper(76,a,760,a,b,4468,a(flip))]. 4511 K(x,y) / x = 1 / ((y * x) / y). [hyper(76,a,4469,a,b,1594,a)]. 4513 L(x,y,z) \ L(T(x,u),y,z) != w | K(L(x,y,z),u) = w. [para(43(a,2),4413(a,1,2))]. 4514 R(x,y,z) \ R(T(x,u),y,z) != w | K(R(x,y,z),u) = w. [para(45(a,2),4413(a,1,2))]. 4516 x * T(x \ 1,y) != z | K(x \ 1,y) = z. [para(2638(a,1),4413(a,1))]. 4517 K(x \ (x / y),x) != z | K(y \ 1,x) = z. [para(2641(a,2),4413(a,1))]. 4519 T(x,y) / T(T(x,z),y) != u | K(z,T(x,y)) = u. [para(41(a,1),4415(a,1,2))]. 4520 R(x * T(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). [hyper(2012,a,4352,a)]. 4521 L(x * T(x \ 1,y),z,u) = K(L(x,z,u) \ 1,y). [hyper(189,a,1973,a,b,4352,a(flip)),flip(a)]. 4522 T(x * T(x \ 1,y),z) = K(T(x,z) \ 1,y). [hyper(189,a,1374,a,b,4352,a(flip)),flip(a)]. 4523 x \ (y * T(y \ x,z)) = K((x \ y) \ 1,z). [hyper(189,a,1075,a(flip),b,4352,a(flip)),flip(a)]. 4524 x * T(x \ y,z) = y * K((y \ x) \ 1,z). [para(4352(a,1),1074(a,2,2))]. 4525 (x \ y) * K(((x \ y) \ (x \ 1)) \ 1,z) = x \ T(y,z). [para(4352(a,1),1077(a,1,2))]. 4526 K((x / y) \ 1,z) * y = x * T(x \ y,z). [para(4352(a,1),1584(a,1,1))]. 4527 ((x \ (1 / y)) * x) * y = K((x * y) \ 1,x). [hyper(189,a,1165,a(flip),b,4359,a(flip)),flip(a)]. 4528 (x * y) * T((x * y) \ x,z) = x * K(y \ 1,z). [para(4359(a,1),569(a,2,2))]. 4530 K(x \ 1,y) * (x \ z) = z * T(z \ (x \ z),y). [para(4359(a,1),909(a,1,1))]. 4531 (x * y) * T((x * y) \ y,z) = K(x \ 1,z) * y. [para(4359(a,1),1119(a,2,1))]. 4532 x * (y * T(y \ (x \ y),z)) = K(x \ 1,z) * y. [para(4359(a,1),1125(a,2,1))]. 4533 (x * y) * (z * T(z \ L(y \ z,y,x),u)) = (x * K(y \ 1,u)) * z. [para(4359(a,1),1858(a,2,1,2))]. 4534 (T(1 / x,y) \ 1) / K(y,1 / x) = x. [hyper(76,a,4369,a(flip),b,131,a(flip))]. 4535 (x * (y \ 1)) \ (x * (T(y,z) \ 1)) = L(K(z,y),y \ 1,x). [para(4369(a,1),31(a,2,2,2)),flip(a)]. 4536 K(x,y) = (T(x,y) \ 1) \ (x \ 1). [para(4369(a,1),3918(a,1,1)),flip(a)]. 4537 (T(x,y) \ 1) \ (x \ 1) != z | K(x,y) = z. [para(4369(a,1),3922(a,1,1))]. 4539 K(x,K(y,z)) * K(z,y) = T(K(z,y),x). [hyper(147,a,3958,a(flip),b,4376,a),flip(a)]. 4540 x \ (T(x,y) * z) = K(x,y) * z. [hyper(80,a,4376,a)]. 4541 K(x,y) * (T(x,y) \ z) = x \ z. [hyper(75,a,17,a(flip),b,4376,a),flip(a)]. 4542 K(x,y) * (z * x) = T(x,y) * T(z,x). [hyper(20,a,981,a,b,4376,a)]. 4543 K(x,y) * T(y,y * x) = L(y,x,y). [hyper(20,a,3720,a(flip),b,4376,a)]. 4544 (x * ((K(x,y) * z) * u)) \ ((T(x,y) * z) * u) = a(x,K(x,y) * z,u). [para(4376(a,1),27(a,2,2,1)),flip(a)]. 4545 x * (K(y,x) * K(x,z)) = T(x,z) * K(y,x). [para(1959(a,1),4376(a,1,2))]. 4546 (K(x,y) * z) \ T(T(x,y) * z,x) != u | R(x,K(x,y) * z,x) = u. [para(4376(a,1),3672(a,1,2,1))]. 4547 (x \ y) / (T(x,z) \ y) = K(x,z). [hyper(1007,a,4377,a)]. 4548 (x \ y) * T((x \ y) \ y,z) = K(x,z) * y. [hyper(735,a,4377,a)]. 4550 (K(x,y) * z) / (x \ z) = T(x,y). [hyper(88,a,4377,a)]. 4551 x \ (K(y,x) * z) = T(x,y) \ z. [hyper(75,a,3887,a(flip),b,4377,a),flip(a)]. 4552 x * (K(x,y) * (x \ z)) = K(x,y) * z. [hyper(189,a,4376,a,b,4377,a(flip)),flip(a)]. 4553 (x * y) / (T(x,z) * y) = K(z,x). [hyper(76,a,3988,a(flip),b,4377,a(flip))]. 4555 (K(x,y) * z) / (x \ z) != u | T(x,y) = u. [para(4377(a,1),248(a,1,1)),flip(b)]. 4556 (x * y) \ (y * (K(x,y) * z)) = L(x \ z,T(x,y),y). [para(4377(a,1),153(a,1,2,2))]. 4557 K(x,y) * T(x,z) = T(x,y) * K(x,z). [para(4360(a,2),4377(a,1,2)),flip(a)]. 4558 K(x,y) * (y \ z) = T(y,x) \ z. [hyper(1006,a,4382,a),flip(a)]. 4561 K(x,y) * (y \ z) != u | T(y,x) \ z = u. [para(4382(a,1),1006(a,1))]. 4562 K(x,y) * T(T(y,x),z) = y * K(T(y,x),z). [para(4360(a,2),4382(a,1,2)),flip(a)]. 4563 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(4383(a,1),348(a,1,1)),flip(a)]. 4564 K(x,y) * (x * z) != u | T(x,y) * z = u. [para(4383(a,1),3914(a,1,2)),flip(b)]. 4566 K(x \ (x * y),z) != u | K(y,z) = u. [para(4395(a,2),4413(a,1))]. 4569 K(x,y) \ (z * T(x,y)) = x * T(z,T(x,y)). [hyper(75,a,113,a(flip),b,4407,a)]. 4570 x \ (T(x,y) * y) = y * K(x,y). [hyper(75,a,4407,a(flip),b,3715,a(flip))]. 4571 T(x,y) * (x \ z) != u | K(x,y) * z = u. [para(4407(a,1),254(a,1))]. 4572 ((T(x,y) * z) * u) / ((x * z) * u) != w | R(K(x,y),x * z,u) = w. [para(4407(a,1),385(a,1,1,1))]. 4574 (T(x,y) * z) \ (K(x,y) * (x * (z * u))) = L(L(u,z,x),x * z,K(x,y)). [para(4407(a,1),348(a,1,1))]. 4576 K(x,y * x) = K(x,x * y). [hyper(4413,a,4408,a),flip(a)]. 4577 K(x,y * x) != z | K(x,x * y) = z. [para(4408(a,1),4413(a,1))]. 4578 K(x,x * (y / x)) = K(x,y). [para(19(a,1),4576(a,1,2)),flip(a)]. 4579 K(x,T(y * x,z)) = K(x,T(x * y,z)). [para(4159(a,1),4578(a,1,2)),flip(a)]. 4580 K(x \ y,T((x \ y) * x,z)) = K(x \ y,T(y,z)). [para(4172(a,1),4578(a,1,2))]. 4581 K(x,y / z) * (z * T(z \ y,x)) = y. [hyper(1067,a,4412,a)]. 4583 T(x,y) * (K(y,x) * K(z,z \ x)) = z * (x / z). [hyper(189,a,3903,a(flip),b,4412,a)]. 4584 T(x,y) / (K(z,x) * K(x,y)) = T(x,z). [hyper(76,a,4396,a,b,4412,a)]. 4586 T(x,y) * z != x * u | K(y,x) * u = z. [para(4412(a,1),22(a,1)),flip(a)]. 4587 T(x,y) \ (x * z) != u | K(y,x) * z = u. [para(4412(a,1),237(a,1,2)),flip(b)]. 4588 T(x,x \ y) / (y \ x) = ((1 / (y \ x)) \ y) * (1 / (y \ x)). [para(4416(a,1),2698(a,1,1))]. 4591 K(K(x,y),z) = K(z,K(y,x)). [hyper(20,a,4396,a(flip),b,4432,a)]. 4592 T(T(x,K(y,z)),K(z,y)) != u | u = x. [para(4432(a,1),4482(a,1,1))]. 4593 K(x,K(y,z)) \ 1 = K(x,K(z,y)). [hyper(3952,a,4591,a)]. 4594 K(x,K(y,z)) \ 1 != u | K(x,K(z,y)) = u. [para(4591(a,1),3872(a,1,1))]. 4595 K(x,y) * K(z,K(y,x)) = T(K(x,y),z). [para(4591(a,1),4396(a,2,2)),flip(a)]. 4596 K(x,x / y) = K(x,y \ x). [hyper(20,a,4396,a(flip),b,4433,a),flip(a)]. 4597 K(x,(y \ x) \ x) = K(x,y). [para(67(a,1),4596(a,1,2)),flip(a)]. 4598 K(x,x / (x / y)) = K(x,y). [para(69(a,1),4596(a,2,2))]. 4599 K(x * y,T(y,x)) = K(x * y,y). [para(3555(a,2),4597(a,1,2))]. 4600 T(x * y,y) / T(x,y) = y * K(x * y,y). [para(35(a,2),4444(a,1,2))]. 4601 (x \ y) * T((x \ y) \ T(y,x),z) = T(x * K(y,x),z) * (x \ y). [para(4444(a,1),323(a,1,1,1)),flip(a)]. 4602 T(x \ 1,x * y) = K(y,x) / x. [hyper(76,a,1215,a(flip),b,4461,a),flip(a)]. 4603 (x \ 1) \ K(x \ y,x) = K(x \ 1,y) * x. [hyper(75,a,4461,a(flip),b,4376,a)]. 4604 1 / (x * K(y,x)) = K(x,y) / x. [para(4375(a,1),4511(a,2,2)),flip(a)]. 4605 (x \ K(y,x)) \ (x \ 1) = K(x,y). [para(4364(a,1),4536(a,2,1)),flip(a)]. 4606 K(x,y) * z != u | T(x,y) * (x \ z) = u. [para(4540(a,1),983(a,1))]. 4607 x \ y != K(x,z) * u | T(x,z) \ y = u. [para(4541(a,1),22(a,1))]. 4608 K(x,x \ y) * (((x \ y) \ y) \ z) = x \ z. [para(114(a,1),4541(a,1,2,1))]. 4610 (L(x,y,z) \ u) / (L(T(x,w),y,z) \ u) = K(L(x,y,z),w). [para(43(a,2),4547(a,1,2,1))]. 4613 (R(x,y,z) * u) / (R(T(x,w),y,z) * u) = K(w,R(x,y,z)). [para(45(a,2),4553(a,1,2,1))]. 4615 (T(x,y) * y) / ((T(x,y) * y) / x) = x * K(y * K(x,y),x). [para(4570(a,1),4318(a,2,2,1))]. 4616 K(x,K(y,z)) != u | K(K(z,y),x) = u. [para(4593(a,1),3872(a,1))]. 4617 K(x * y,y) = K(y * x,y). [hyper(3735,a,4599,a),flip(a)]. 4618 K(x / (y \ 1),y) = K(x * y,y). [hyper(189,a,4236,a,b,4617,a),flip(a)]. 4619 K(x * (y / x),x) = K(y,x). [para(19(a,1),4617(a,1,1)),flip(a)]. 4620 T(x * K(x * y,x),y * x) = x. [para(4617(a,1),4374(a,1,1,2))]. 4621 K(T(x,y) * y,x) = K(x * y,x). [para(3322(a,2),4619(a,1,1))]. 4622 K(T(x * (y / x),z),x) = K(T(y,z),x). [para(4168(a,2),4619(a,1,1))]. 4623 L(x,((y \ 1) \ y) \ y,z / T(y \ 1,(y \ 1) \ y)) = z \ ((z / (K(y,y) / y)) * ((((y \ 1) \ y) \ y) * x)). [para(4602(a,1),1967(a,1,2,1,2)),flip(a)]. 4624 (K(x,y) / x) \ 1 = x * K(y,x). [para(4604(a,1),69(a,1,1))]. 4625 L(x,y * K(x * y,y),x) = L(x,R(y,x,y),x). [para(4487(a,1),3724(a,1,2)),flip(a)]. 4626 T(x * K(x * y,x),y) = R(x,y,x). [para(4617(a,1),4487(a,1,1,2))]. 4627 T(x,x * y) * K(y,x) = L(x,y,x). [hyper(2760,a,4543,a)]. 4628 K((x / y) \ x,z) != u | K(y,z) = u. [para(19(a,1),4566(a,1,1,2))]. 4630 T(x * K(y,z),K(z,y)) != u | K(y,z) * x = u. [para(3955(a,1),4592(a,1,1)),flip(b)]. 4631 x \ K(x,x \ y) = y / (y * x). [hyper(3639,a,4340,a),flip(a)]. 4632 T((x \ K(x,x \ y)) \ 1,y * x) = y \ (y * x). [para(4631(a,2),4247(a,1,1,1))]. 4633 K(x,y) * K(y \ 1,y) = (T(y,x) \ 1) * y. [para(4357(a,2),2320(a,1,1))]. 4635 K(x \ 1,x) * K(y,x) = (T(x,y) \ 1) * x. [para(4357(a,2),2482(a,1,2))]. 4636 x * ((T(y,x) \ 1) * T(y,y \ 1)) = T(x,y). [para(4357(a,1),4396(a,2,2)),flip(a)]. 4637 (x * (y * T(y \ z,u))) / (x * z) = K((x * z) / (x * y),u). [hyper(76,a,712,a(flip),b,4378,a)]. 4639 x * T(x \ y,z) != y * u | T(K(y / x,z),y) = u. [para(4378(a,1),148(a,2)),flip(a)]. 4640 x / (y * T(y \ x,z)) = K(z,x / y). [para(4378(a,1),3905(a,1,2))]. 4641 (x * K(y,x)) \ y = x \ (y * K(x,y)). [para(4375(a,1),4379(a,1,1))]. 4642 T(x,y) / T(T(x,z \ x),y) = K(x / z,T(x,y)). [para(3327(a,1),4385(a,1,2,1))]. 4643 ((x * (1 / y)) / x) * y = K(x,y \ 1). [hyper(683,a,4388,a)]. 4646 T(x * ((y * (x \ 1)) / y),z) = K(y,T(x,z) \ 1). [hyper(189,a,1802,a(flip),b,4388,a(flip)),flip(a)]. 4647 K(x,y \ 1) / y = (x * (1 / y)) / x. [hyper(76,a,4388,a(flip),b,680,a)]. 4648 (x * y) * ((z * ((x * y) \ x)) / z) = x * K(z,y \ 1). [para(4388(a,1),1398(a,2,2))]. 4649 x * K(y,(x \ z) \ 1) = z * ((y * (z \ x)) / y). [para(4388(a,1),1414(a,1,2))]. 4650 (x * y) * ((z * ((x * y) \ y)) / z) = K(z,x \ 1) * y. [para(4388(a,1),1796(a,2,1))]. 4652 L(x,y,z) \ K(x,L(x,y,z) \ 1) = (L(x,y,z) \ x) / x. [para(964(a,1),4393(a,2,1))]. 4653 T(x,y) * K(z,T(x,y)) = T(x * K(z,x),y). [hyper(21,a,4405,a,b,4423,a),flip(a)]. 4654 T(x * K(y * R(x,z,u),x),y) = R(x,y,R(x,z,u)). [hyper(21,a,1667,a,b,4423,a)]. 4656 K(x,T(y,z)) * T(y,z) = T(y * K(x,y),z). [hyper(189,a,4468,a(flip),b,4424,a),flip(a)]. 4657 T(x * K(y,x),z) / T(x,z) = K(y,T(x,z)). [hyper(76,a,4424,a,b,4468,a(flip))]. 4658 T(x,y) \ T(x * K(z,x),y) = K(z,T(x,y)). [hyper(75,a,4424,a,b,4375,a(flip))]. 4659 T(x,T(y,z)) * T(y,z) = x * T(y * K(x,y),z). [para(4424(a,2),3322(a,2,2))]. 4660 T(x * K(y,x),z) \ T(x,z) = K(T(x,z),y). [para(4424(a,2),4354(a,2,1)),flip(a)]. 4661 T(x * K(y,x),z) != u | T(x,z) * K(y,T(x,z)) = u. [para(4424(a,2),4422(a,1))]. 4663 x * ((T(y,(z \ x) \ u) * (x \ (z * u))) / T(y,(z \ x) \ u)) = z * ((z \ x) * (((z \ x) \ u) * K(y,(z \ x) \ u))). [para(4455(a,1),1223(a,1,2,2)),flip(a)]. 4664 (x / ((y * z) / y)) * (z * K(y,z)) = x. [hyper(200,a,4479,a)]. 4665 T(T(x * y,y) / (T(x * y,y) / x),T(x * y,y)) = L(x,y * K(x * y,y),x). [para(4480(a,1),3643(a,2,2))]. 4666 (T(1 / x,y) \ 1) / K(y,x \ 1) = x. [para(3083(a,1),4534(a,1,2))]. 4667 T(K(x,y),z) * K(y,x) != u | K(z,K(y,x)) = u. [para(4539(a,1),3921(a,1,1)),flip(b)]. 4669 x * (K(x,y) * K(x,z)) = K(x,y) * T(x,z). [para(4360(a,2),4552(a,1,2,2))]. 4670 K(x,y) * T(x,z) != u | K(x,z) * T(x,y) = u. [para(4557(a,2),2664(a,1))]. 4671 K(x,y / (z \ 1)) * (z \ T(z * y,x)) = y. [para(729(a,1),4581(a,1,2))]. 4672 x / (K(y,x * K(z,x)) * K(x * K(z,x),z)) = T(x * K(z,x),y). [para(4374(a,1),4584(a,1,1))]. 4673 K(x,y) * T(K(y,x),z) != u | K(z,K(x,y)) = u. [para(4595(a,1),3914(a,1,2)),flip(b)]. 4674 K(T(T(x,y) * y,z),x) = K(T(x * y,z),x). [para(3322(a,2),4622(a,1,1,1))]. 4675 x / (y * (z * T(z \ (y \ x),u))) = K(u,x / (y * z)). [para(713(a,1),4640(a,1,2))]. 4676 x / (((y \ (x * z)) * y) / z) = K(y,x / (y / z)). [para(1579(a,1),4640(a,1,2))]. 4677 K(1 / x,y) / (1 / x) = 1 / (K(y,x \ 1) / x). [para(4647(a,2),4511(a,2,2))]. 4678 T(1 / x,y) \ 1 = x * K(y,x \ 1). [para(4666(a,1),19(a,1,1)),flip(a)]. 4683 L(x \ 1,T(x,y),y) = L(x \ 1,x,y). [hyper(189,a,3287,a(flip),b,4478,a(flip)),flip(a)]. 4684 T(x * L(x \ 1,x,y),y) = T(x,y) * ((x * y) \ y). [para(4683(a,1),1340(a,1,1,2))]. 4685 T(x,y) * K(x * y,x) = R(x,y,x). [para(3734(a,1),4505(a,1,2))]. 4686 K(x,y) * K(x * y,x) = x \ R(x,y,x). [hyper(75,a,4685,a(flip),b,4376,a),flip(a)]. 4687 x * (y * T(y \ (x \ 1),z)) != u | K((x * y) \ 1,z) = u. [para(713(a,1),4516(a,1))]. 4688 R(x * T(x \ 1,y),z,u) != w | K(R(x,z,u) \ 1,y) = w. [para(2013(a,1),4516(a,1))]. 4691 K(x,y) * (z * x) != u | T(x,y) * T(z,x) = u. [para(113(a,1),4564(a,1,2))]. 4692 T(x,y) * (T(x,z) \ u) != w | K(x,y) * (K(z,x) * u) = w. [para(4551(a,1),4571(a,1,2))]. 4693 K(K(x,y),z) != u | K(z,K(y,x)) = u. [para(3871(a,1),4594(a,1))]. 4695 K(x * y,x) * K(x,y) = x \ R(x,y,x). [hyper(1962,a,4686,a)]. 4696 K(x,y) * K(y * x,x) = x \ R(x,y,x). [para(4617(a,2),4686(a,1,2))]. 4697 K(x * y,y) * K(y,x) = y \ R(y,x,y). [para(4617(a,2),4695(a,1,1))]. 4698 T(T(x,y) * y,x) = x * ((1 / x) * (x * y)). [hyper(189,a,4206,a(flip),b,4234,a)]. 4699 L((x \ 1) \ y,x \ 1,((x * z) / x) / (x \ 1)) = ((x * z) / x) \ (T(T(x,z) * z,x) * y). [para(4234(a,2),364(a,2,2,1))]. 4700 (x \ y) \ (x \ 1) = (y \ x) * (x \ 1). [hyper(189,a,4248,a(flip),b,4268,a(flip)),flip(a)]. 4701 K(x * y,y \ 1) = K(y * x,y \ 1). [hyper(189,a,3743,a(flip),b,4275,a(flip))]. 4702 ((x \ 1) \ y) * (x \ 1) = y * K(y * x,x \ 1). [para(4275(a,1),213(a,1,2)),flip(a)]. 4703 K(x,y) = (x * y) * ((y * x) \ 1). [hyper(4566,a,4290,a)]. 4704 (x * y) \ K(x,y) = (y * x) \ 1. [hyper(75,a,1215,a(flip),b,4290,a(flip))]. 4707 K(x,x \ y) * ((y / x) \ z) = (x \ y) \ z. [hyper(75,a,17,a(flip),b,4302,a),flip(a)]. 4717 (x \ y) \ (y / (y / x)) = (y / x) \ x. [hyper(75,a,4345,a(flip),b,4304,a),flip(a)]. 4720 R(x \ y,(y / x) \ x,x \ y) = ((x \ y) \ (y / (y / x))) \ x. [para(4717(a,1),3674(a,1,2))]. 4726 K(x,y \ 1) * (y \ x) = y \ T(x,y \ 1). [hyper(189,a,3358,a,b,4344,a)]. 4727 (x \ T(y,x \ 1)) / (x \ y) = K(y,x \ 1). [hyper(76,a,3358,a,b,4344,a)]. 4728 (x * K(y \ 1,x)) / ((x \ (y \ x)) * x) = y. [hyper(88,a,4381,a)]. 4729 L(x,y,z) * K(u,L(x,y,z)) = L(x * K(u,x),y,z). [hyper(21,a,4405,a,b,4425,a),flip(a)]. 4730 L(L(x,y,z) * K(u,L(x,y,z)),w,v5) * u = u * L(L(x,w,v5),y,z). [para(48(a,1),4425(a,2,2))]. 4732 R(x,y,z) * K(u,R(x,y,z)) = R(x * K(u,x),y,z). [hyper(21,a,4405,a,b,4426,a),flip(a)]. 4734 T(x,y * K(y,z)) = T(x,T(y,z)). [hyper(189,a,2676,a(flip),b,4443,a(flip))]. 4735 K(x,y) * T((z * y) / z,x) = y * K(z,T(y,x)). [para(4476(a,2),4383(a,1,2))]. 4736 (((x * y) / x) \ 1) \ 1 = (y \ 1) \ K(x,y). [hyper(189,a,2116,a(flip),b,4477,a),flip(a)]. 4737 L(x * K(y,x),z,u) / L(x,z,u) = K(y,L(x,z,u)). [hyper(76,a,4488,a,b,4468,a(flip))]. 4738 L(x * K(y,x),z,u) \ L(x,z,u) = K(L(x,z,u),y). [para(4488(a,2),4354(a,2,1)),flip(a)]. 4739 L(x,y,z) / L(x * K(u,x),y,z) = K(L(x,y,z),u). [para(4488(a,2),4469(a,2,2)),flip(a)]. 4740 L(x * K(y,x),z,u) != L(x,z,u) * w | K(y,L(x,z,u)) = w. [para(4488(a,2),4481(a,1))]. 4741 R(x,y,z) \ R(x * K(u,x),y,z) = K(u,R(x,y,z)). [hyper(75,a,4489,a,b,4375,a(flip))]. 4742 R(x * K(y,x),z,u) \ y = R(x,z,u) \ ((R(x,z,u) * y) / R(x,z,u)). [para(4489(a,2),3697(a,1,1))]. 4743 R(x * K(y,x),z,u) \ R(x,z,u) = K(R(x,z,u),y). [para(4489(a,2),4354(a,2,1)),flip(a)]. 4744 R(x,y,z) / R(x * K(u,x),y,z) = K(R(x,y,z),u). [para(4489(a,2),4469(a,2,2)),flip(a)]. 4745 R(x,y,z) \ K(R(x,y,z),u) = R(x * K(u,x),y,z) \ 1. [para(4489(a,2),4497(a,1,1)),flip(a)]. 4746 R(x,y,z) * (K(u,R(x,y,z)) * w) = R(x * K(u,x),y,z) * w. [para(4489(a,2),4496(a,1,1)),flip(a)]. 4748 K(T(x,y) \ 1,z) = T(K(x \ 1,z),y). [para(4359(a,1),4522(a,1,1)),flip(a)]. 4749 K(T(1 / x,y) \ 1,z) = T(K(x,z),y). [para(69(a,1),4748(a,2,1,1))]. 4751 ((x * y) * z) \ ((x * z) * R(T(y,x * z),x,z)) = K((((x * y) * z) \ (x * z)) \ 1,x). [para(832(a,1),4523(a,1,2,2))]. 4752 (x * y) \ ((z * T(z \ x,u)) * y) = K(((x * y) \ (z * y)) \ 1,u). [para(1100(a,1),4523(a,1,2))]. 4753 x \ T(x * y,z) = y * K((y \ (x \ 1)) \ 1,z). [hyper(785,a,4524,a)]. 4754 (x * y) * K(((x * y) \ y) \ 1,z) = T(x,z) * y. [hyper(571,a,4524,a),flip(a)]. 4755 x * T(x \ y,z) != y * u | K((y \ x) \ 1,z) = u. [para(4524(a,2),22(a,1))]. 4756 K((x / y) \ 1,z) * y = y * K((y \ x) \ 1,z). [hyper(189,a,4524,a(flip),b,4526,a)]. 4757 K(((x \ 1) / (x \ y)) \ 1,z) * (x \ y) = x \ T(y,z). [hyper(189,a,771,a(flip),b,4526,a)]. 4759 (x * (y * T(y \ z,u))) / (x * z) = K(((x * y) / (x * z)) \ 1,u). [hyper(76,a,712,a(flip),b,4526,a)]. 4760 K((x / y) \ 1,z) = K(y / x,z). [hyper(21,a,4378,a,b,4526,a)]. 4761 x \ (y * T(y \ x,x)) = K((y / x) \ 1,x). [hyper(75,a,4526,a(flip),b,2754,a(flip))]. 4763 K((x / y) \ 1,x) = K(x \ y,x). [hyper(189,a,3896,a(flip),b,4760,a)]. 4764 K(x / y,x) = K(y \ x,x). [hyper(189,a,4252,a(flip),b,4760,a(flip))]. 4765 K(x / (y * x),z) = K(y \ 1,z). [para(18(a,1),4760(a,1,1,1)),flip(a)]. 4767 K((x \ y) / y,z) = K(x \ 1,z). [para(67(a,1),4760(a,1,1,1)),flip(a)]. 4768 K(x,(y / z) \ 1) = K(z / y,x) \ 1. [para(4760(a,1),3871(a,1,1)),flip(a)]. 4769 K(x \ (y \ x),x) = K(y \ 1,x). [para(67(a,1),4763(a,1,1,1)),flip(a)]. 4770 ((x \ y) / y) \ K(x \ 1,((x \ y) / y) \ 1) = 1 / ((x \ y) / y). [hyper(75,a,4767,a(flip),b,1535,a(flip))]. 4771 K(((x \ 1) \ y) / y,z) != u | K(x,z) = u. [para(4767(a,2),2659(a,1))]. 4772 K(x \ 1,y) * ((y \ (x \ y)) \ z) = ((x \ y) / y) \ z. [para(4769(a,1),4308(a,1,1))]. 4773 K(x,(y / z) \ 1) = K(x,z / y). [hyper(189,a,3871,a(flip),b,4768,a)]. 4774 K(x,(y / z) \ 1) != u | K(x,z / y) = u. [para(4768(a,2),3872(a,1))]. 4775 K(x,1 / (y / z)) = K(x,z / y). [hyper(189,a,3083,a,b,4773,a(flip)),flip(a)]. 4776 K(x,y / (z * y)) = K(x,z \ 1). [para(18(a,1),4773(a,1,2,1)),flip(a)]. 4777 K(x,(y \ z) / z) = K(x,y \ 1). [para(67(a,1),4773(a,1,2,1)),flip(a)]. 4778 K(x,((y \ z) / z) \ 1) = K(x,y). [para(67(a,1),4773(a,2,2))]. 4779 K(x,1 / (K(y,z) / u)) = K(x,u * K(z,y)). [para(3890(a,1),4775(a,2,2))]. 4782 K(x,R(y / z,z,u) \ 1) != w | K(x,(z * u) / (y * u)) = w. [para(111(a,2),4774(a,1,2,1))]. 4783 (x * K(y,x)) * K(x,z) = T(x,z) * K(y,x). [hyper(3836,a,4545,a)]. 4784 (x \ y) * T((x \ y) \ y,z) != y * u | T(K(x,z),y) = u. [para(4548(a,2),148(a,2)),flip(a)]. 4785 (x \ 1) \ K(x \ y,x) = x * K(x \ 1,y). [hyper(189,a,1155,a(flip),b,4603,a)]. 4787 K(x \ y,x) * (x \ z) != u | ((x \ y) \ y) \ z = u. [para(4608(a,1),3914(a,1,2)),flip(b)]. 4789 ((T(x,y) \ 1) * x) * T((x \ 1) \ 1,z) = K(y,x) * T(x,z). [para(4633(a,1),2885(a,1,1))]. 4790 x * (K(y,y \ 1) * ((T(y,x) \ 1) * y)) = T(x,y). [para(2500(a,2),4636(a,1,2))]. 4791 T(x,y) \ T(x * K(z,x),y) != u | K(z,T(x,y)) = u. [para(4653(a,1),237(a,1,2)),flip(b)]. 4792 (x * y) \ (y * T(x * K(z,x),y)) = L(K(z,T(x,y)),T(x,y),y). [para(4653(a,1),153(a,1,2,2))]. 4793 T(x,y) * K(z,T(x,x * (y / x))) = T(x * K(z,x),x * (y / x)). [para(3510(a,1),4653(a,1,1))]. 4795 T(x * K(T(x,y) \ z,x),y) \ z = z / T(x,y). [para(4653(a,1),4310(a,1,1))]. 4796 T(R(x,y,x),z) / T(T(x,y),z) = K(x * y,T(T(x,y),z)). [para(4475(a,1),4657(a,1,1,1))]. 4797 T(T(x * K(y,x),z),u) / T(T(x,z),u) = K(y,T(T(x,z),u)). [para(4653(a,1),4657(a,1,1,1))]. 4798 T(x,y) * K(z,T(x,y)) != u | T(x * K(z,x),y) = u. [para(4658(a,1),203(a,1,2)),flip(b)]. 4799 T(x,y) \ T(x * K(x * z,x),y) = K(z * x,T(x,y)). [para(4617(a,1),4658(a,1,2,1,2))]. 4800 K(x,y) * T(x,z) != x * u | K(x,y) * K(x,z) = u. [para(4669(a,1),22(a,1))]. 4801 T(x,T(T(x,y) * y,z)) = K(T(x * y,z),x) \ x. [para(4674(a,1),4371(a,2,1))]. 4803 (x \ y) / (x \ T(y,x \ 1)) = K(x \ 1,y). [para(4726(a,1),3905(a,1,2))]. 4804 (x * K((x / y) \ 1,x)) / ((x \ y) * x) = x / y. [para(69(a,1),4728(a,1,2,1,2))]. 4805 (x \ K(x,y)) \ 1 = (x \ 1) \ K(y,x). [para(4497(a,1),4736(a,1,1))]. 4806 T(T(x,y) * z,K(x,y)) != u | (x * z) * K(x,y) = u. [para(4407(a,1),4237(a,1,1))]. 4807 K(x \ R(x,y,z),R(x,u,w)) = R(x,u,w) \ R(x,u,w). [para(3255(a,1),4366(a,1,1,1)),flip(a)]. 4808 K(R(x,y,z),x \ R(x,u,w)) = R(x,y,z) \ R(x,y,z). [para(3255(a,1),4398(a,1,2,1)),flip(a)]. 4811 (R(T(x,y),z,u) * (z * u)) / ((x * z) * u) = R(K(R(x,z,u),y),R(x,z,u),z * u). [para(4448(a,1),397(a,1,1)),flip(a)]. 4812 R(x * K(y,x),y,x) = x * K(y * x,x). [hyper(189,a,4375,a(flip),b,4484,a)]. 4813 ((x * K(y,x)) * y) / L(x,y,x * K(y * x,x)) = (R(x * K(y,x),y,x) * y) / x. [para(4812(a,1),1272(a,1,2,3))]. 4814 R(x * K(y,x),y,x) = x * K(x * y,x). [para(4617(a,1),4812(a,2,2))]. 4815 R(T(x * K(y,x),z),y,x) = T(x * K(x * y,x),z). [para(4814(a,1),45(a,2,1))]. 4818 R(K(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). [para(4359(a,1),4520(a,1,1))]. 4819 K(R(x,y,z) \ 1,u) * (y * z) = (K(x \ 1,u) * y) * z. [para(4818(a,1),110(a,1,1))]. 4820 K(R(x \ 1,y,z) \ 1,u) = R(K(x,u),y,z). [para(2648(a,1),4818(a,1,1)),flip(a)]. 4821 K(x,R(y \ 1,z,u) \ 1) = R(K(y,x),z,u) \ 1. [para(4820(a,1),3871(a,1,1)),flip(a)]. 4822 K(x,R(y \ 1,z,u) \ 1) * w = R(K(y,x),z,u) \ w. [para(4820(a,1),3889(a,1,1)),flip(a)]. 4823 T(K(x,R(y \ 1,z,u) \ 1),w) = T(R(K(y,x),z,u),w) \ 1. [para(4820(a,1),4266(a,1,1,1)),flip(a)]. 4824 L(K(x \ 1,y),z,u) = K(L(x,z,u) \ 1,y). [para(4359(a,1),4521(a,1,1))]. 4825 L(K(1 / x,y),z,u) = K(L(x,z,u) \ 1,y). [para(4392(a,1),4521(a,1,1))]. 4826 K(L(x,y,z) \ 1,x) = K(x \ 1,x). [hyper(189,a,4093,a(flip),b,4824,a(flip))]. 4827 (x * y) * K(L(z,y,x) \ 1,u) = x * (y * K(z \ 1,u)). [para(4824(a,1),102(a,1,2))]. 4828 K(L(x,y,z) \ 1,(x \ 1) * L((x \ 1) \ 1,u,w)) = L(1,y,z). [para(1342(a,1),4824(a,1,1)),flip(a)]. 4829 K(L(x \ 1,y,z) \ 1,u) = L(K(x,u),y,z). [para(2648(a,1),4824(a,1,1)),flip(a)]. 4830 K(L(T(1 / x,y),z,u) \ 1,w) = L(T(K(x,w),y),z,u). [para(4749(a,1),4824(a,1,1)),flip(a)]. 4831 (L(x,y,z) \ x) \ ((L(x,y,z) \ 1) * x) = K(x \ 1,x). [hyper(189,a,969,a,b,4826,a(flip)),flip(a)]. 4832 L(K(1 / x,y),z,u) = K(1 / L(x,z,u),y). [hyper(189,a,2647,a,b,4825,a)]. 4833 K(x,L(y \ 1,z,u) \ 1) = L(K(y,x),z,u) \ 1. [para(4829(a,1),3871(a,1,1)),flip(a)]. 4834 (x * K(L(y \ 1,z,u) \ 1,w)) \ x = L(K(y,w),z,u) \ 1. [para(4829(a,1),3868(a,2,1))]. 4835 L(K(1 / x,y),z,u) != w | K(L(x,z,u) \ 1,y) = w. [para(4832(a,2),4254(a,1))]. 4836 ((x * y) * T((x * y) \ x,z)) * y = (x * y) * K(y \ 1,z). [hyper(189,a,1100,a(flip),b,4528,a(flip)),flip(a)]. 4837 K(x,y) * ((1 / x) \ z) = z * T(z \ ((1 / x) \ z),y). [para(69(a,1),4530(a,1,1,1))]. 4838 (x * y) \ (K(x \ 1,z) * y) = T((x * y) \ y,z). [hyper(80,a,4531,a)]. 4839 ((1 / x) * y) * T(((1 / x) * y) \ y,z) = K(x,z) * y. [para(69(a,1),4531(a,2,1,1))]. 4840 x * (y \ T(y * (x \ (y \ 1)),z)) = K(x \ 1,z) * (y \ 1). [para(729(a,1),4532(a,1,2))]. 4842 K(x \ y,T((x \ y) * x,z)) = K(x \ y,T(y,T(z,y))). [para(3521(a,2),4580(a,2,2))]. 4843 T((x \ 1) \ K(x \ y,x),y * x) = y \ (y * x). [para(4805(a,1),4632(a,1,1))]. 4844 K(x / y,T(x,z)) = K(y \ x,T(x,z)). [hyper(4519,a,4642,a),flip(a)]. 4846 K(x,T(y,z) \ 1) = T(K(x,y \ 1),z). [para(4388(a,1),4646(a,1,1)),flip(a)]. 4847 K(x,T(1 / y,z) \ 1) = T(K(x,y),z). [para(69(a,1),4846(a,2,1,2))]. 4848 x * K(y,T(z,x) \ 1) = K(y,z \ 1) * x. [para(4846(a,2),113(a,1,2))]. 4851 K(x,y * K(z,y \ 1)) = T(K(x,y),z). [para(4678(a,1),4847(a,1,2))]. 4852 K(x,y * K(y * z,y \ 1)) = T(K(x,y),z * y). [para(4701(a,1),4851(a,1,2,2))]. 4853 K(x,(y / z) \ 1) * z = z * K(x,(z \ y) \ 1). [para(115(a,1),4848(a,1,2,2,1)),flip(a)]. 4854 x * K(y,x \ (z \ x)) = K(y,z \ 1) * x. [para(4267(a,1),4848(a,1,2,2))]. 4856 K(x,(y / z) \ 1) * y = y * K(x,y \ z). [para(69(a,1),4854(a,1,2,2,2)),flip(a)]. 4858 x * ((x \ y) * K(z,x \ y)) = y * K(z,(y \ x) \ 1). [hyper(189,a,4479,a(flip),b,4649,a),flip(a)]. 4859 (((x \ y) \ 1) \ x) * ((x \ y) \ 1) = x * K(y,(x \ y) \ 1). [para(17(a,1),4702(a,2,2,1))]. 4860 x * (y * K((y \ (x \ 1)) \ 1,z)) = T(x * y,z). [para(4753(a,1),17(a,1,2))]. 4861 T(x,T(T(x,y) * y,z)) = T(x,T(x * y,z)). [hyper(189,a,4371,a,b,4801,a)]. 4862 K(R(x,y,z),T(T(x,u) * u,w)) = R(T(x,T(x * u,w)),y,z) / R(x,y,z). [para(4861(a,1),4448(a,1,1,1)),flip(a)]. 4863 (x * K(x \ y,x)) / ((x \ y) * x) = x / y. [para(4763(a,1),4804(a,1,1,2))]. 4864 (x / (x / y)) / ((y \ x) * y) = y / x. [para(4318(a,2),4863(a,1,1))]. 4865 (x / y) \ (y / (y / x)) = (x \ y) * x. [para(4864(a,1),69(a,1,1))]. 4866 L(x,K(L(y \ 1,z,u) \ 1,w),L(K(y,w),z,u) \ 1) = x. [para(4833(a,1),3888(a,1,3))]. 4867 (x * y) * T((x * y) \ y,z) != u | K(x \ 1,z) * y = u. [para(4838(a,1),203(a,1,2)),flip(b)]. 4868 T(x * K(x \ 1,y),y * x) = y \ (y * x). [para(4785(a,1),4843(a,1,1))]. 4869 T(x * K(x \ 1,y),y * x) = x. [hyper(189,a,16,a(flip),b,4868,a)]. 4871 (x * K(x \ 1,y)) / x != z | K(y * x,x * K(x \ 1,y)) = z. [para(4869(a,1),4415(a,1,2))]. 4872 T(K(x,y),z * y) = T(K(x,y),y * z). [hyper(189,a,4851,a(flip),b,4852,a(flip))]. 4873 T(K(x,y),z * y) * K(y,x) = K(K(x,y),y * z). [para(4872(a,2),4445(a,1,1))]. 4874 x * K(y,(x \ z) \ 1) = K(y,x / z) * x. [para(4773(a,1),4853(a,1,1)),flip(a)]. 4875 T(K(x,y / z),y) = K(x,(y \ z) \ 1). [hyper(148,a,4874,a)]. 4876 K(x,y) * (z * K((z \ K(y,x)) \ 1,u)) = T(K(x,y) * z,u). [para(3871(a,1),4860(a,1,2,2,1,1,2))]. 4877 K(K(x,y),y * z) = K(z * y,K(y,x)). [hyper(4667,a,4873,a),flip(a)]. 4878 K(x * y,K(y,z)) = K(y * x,K(y,z)). [hyper(4693,a,4877,a),flip(a)]. 4880 L(T(x,y) \ 1,x,y) = (x * y) \ y. [hyper(1924,a,4684,a)]. 4881 (x * y) \ T(x,y) = (y * x) \ x. [hyper(189,a,4002,a(flip),b,4880,a(flip)),flip(a)]. 4882 a(1 / (x * y),x,y) \ T((1 / (x * y)) * x,y) = (y * ((1 / (x * y)) * x)) \ ((1 / (x * y)) * x). [para(167(a,1),4881(a,1,1))]. 4883 L(x * K(y,x),z,u) / L(x,z,u) != w | K(y,L(x,z,u)) = w. [para(4729(a,1),2757(a,1,1))]. 4884 L(x * K(y,x),z,u) \ L(x,z,u) != w | K(L(x,z,u),y) = w. [para(4729(a,1),3922(a,1,1))]. 4886 R(x * K(y,x),z,u) \ R(x,z,u) != w | K(R(x,z,u),y) = w. [para(4732(a,1),3922(a,1,1))]. 4888 K(R(x,y,z),T(x,u) * u) = R(x,y,z) / R(x * K(x * u,x),y,z). [para(4621(a,1),4744(a,1,2,1,2)),flip(a)]. 4891 T(x,x \ y) \ z != u | ((x \ y) \ y) \ z = u. [para(4558(a,1),4787(a,1))]. 4892 T(x,x \ y) \ R(T(z,z \ u),w,v5) != v6 | ((x \ y) \ y) \ R((z \ u) \ u,w,v5) = v6. [para(836(a,2),4891(a,1))]. 4893 T((x * y) / x,z) != u | T(y * K(x,y),z) = u. [para(4476(a,2),4798(a,1))]. 4894 L(K(x \ 1,y),z,u) != w | K(L(x,z,u) \ 1,y) = w. [para(2647(a,1),4835(a,1,1))]. 4895 T(x * K(T(x,y) \ y,x),y) = y / (T(y,x) / x). [hyper(4798,a,4335,a)]. 4896 T(x * K(x \ y,x),y) = y / (T(y,x) / x). [para(3680(a,1),4895(a,1,1,2))]. 4897 L(x,x \ y,x) = y / (T(y,x) / x). [hyper(189,a,4336,a(flip),b,4896,a(flip)),flip(a)]. 4898 T(x / (x / y),x) = x / (T(x,y) / y). [para(4318(a,2),4896(a,1,1))]. 4899 T((x \ L(y,y \ z,y)) * x,T(z,y) / y) = (x \ ((T(z,y) / y) \ z)) * x. [para(4897(a,2),4166(a,1,1,1,2))]. 4900 x / (x / T(y,x)) = T(x / (x / y),x). [para(3523(a,1),4898(a,2,2)),flip(a)]. 4901 T(x / (x / y),x) \ x = x / T(y,x). [para(4900(a,1),69(a,1,1))]. 4902 x * (x / (x / T(y,x))) = y * ((y \ x) * y). [para(4900(a,2),3645(a,1,2))]. 4903 ((x \ y) * x) * T(x,y) = y * (y / (y / T(x,y))). [hyper(189,a,3516,a,b,4902,a),flip(a)]. 4904 (x \ T(y,x)) * T(x,y) = (x \ y) * x. [hyper(3815,a,4903,a)]. 4906 (x \ 1) * (K(x,y) * ((x \ 1) \ z)) = K((x \ 1) \ 1,y) * z. [para(4401(a,2),4532(a,1,2))]. 4907 T(x * K(x * y,x),z) * y = y * R(T(x,z),y,x). [para(4815(a,1),4427(a,1,1))]. 4908 T(T(x * K(x * y,x),z),y) = R(T(x,z),y,x). [hyper(147,a,4907,a,b,xx)]. 4910 T(T(x * K(y * x,x),z),y) = R(T(x,z),y,x). [para(4617(a,2),4908(a,1,1,1,2))]. 4911 K(x,x \ 1) / ((y * x) \ y) = ((y * x) \ y) \ 1. [hyper(189,a,1999,a(flip),b,4459,a)]. 4912 (1 / ((x * y) \ x)) * K(y,y \ 1) = ((x * y) \ x) \ 1. [hyper(3206,a,4911,a)]. 4913 (((x * y) \ x) \ 1) \ K(y,y \ 1) != z | (x * y) \ x = z. [para(4911(a,1),236(a,1,1)),flip(b)]. 4914 (x \ R(y,z,u)) * K(((x \ R(y,z,u)) \ (x \ 1)) \ 1,w) = x \ R(T(y,w),z,u). [para(45(a,2),4525(a,2,2))]. 4915 ((x * y) * ((z * ((x * y) \ x)) / z)) * y = (x * y) * K(z,y \ 1). [hyper(189,a,1785,a(flip),b,4648,a(flip)),flip(a)]. 4916 (x * y) * (z * (L(y \ z,y,x) / z)) = (x * K(z,y \ 1)) * z. [para(4648(a,1),1810(a,1,1)),flip(a)]. 4917 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = (K(x,y \ 1) * z) * u. [para(4650(a,1),2145(a,2,1))]. 4918 x / (y * (((z \ ((y \ x) * u)) * z) / u)) = K(z,x / (y * (z / u))). [para(1579(a,1),4675(a,1,2,2))]. 4919 ((x * y) * z) / (x * (z * T(z \ (x \ ((x * y) * z)),u))) = K(u,R(y * K(x,y),x,z)). [para(4484(a,2),4675(a,2,2))]. 4920 K(x,y) * ((y \ ((x \ 1) \ y)) \ z) = (((x \ 1) \ y) / y) \ z. [para(2648(a,1),4772(a,1,1))]. 4921 K(x * y,T(y,z)) = K(y * x,T(y,z)). [hyper(4791,a,4799,a),flip(a)]. 4922 K(x \ R(x,y,z),R(x,u,w)) != v5 | 1 = v5. [para(4807(a,2),181(a,1))]. 4923 K(R(x,y,z),x \ R(x,u,w)) = 1. [hyper(189,a,59,a(flip),b,4808,a)]. 4926 (L(x,y,z) \ x) * K(x \ 1,x) = (L(x,y,z) \ 1) * x. [para(4831(a,1),17(a,1,2))]. 4927 (1 / x) * (K(x,y) * ((1 / x) \ z)) = K((1 / x) \ 1,y) * z. [para(4837(a,2),4532(a,1,2))]. 4928 L(K(x,y \ z),y \ z,y) = K(x,(z \ y) \ 1). [hyper(404,a,4858,a)]. 4929 (((x * y) \ x) \ 1) / ((y \ 1) \ 1) = (1 / ((x * y) \ x)) / y. [hyper(76,a,4912,a(flip),b,2257,a)]. 4930 ((L(x,y,z) \ 1) * x) * (1 / x) = (L(x,y,z) \ x) * (x \ 1). [para(4926(a,1),2284(a,1,1))]. 4931 T(x \ y,z) * (y \ (x * K(z,x \ y))) = T((x \ y) * (y \ (x * 1)),z). [para(4462(a,1),1926(a,1,2))]. 4932 (x * y) \ (y * (T(x,y) * z)) = L(z,x,y * K(x,y)). [para(4407(a,1),4509(a,1,2,2))]. 4933 L(x,y,z * K(y,z)) = L(x,T(y,z),z). [hyper(644,a,4932,a),flip(a)]. 4934 L(x,y,z * K(y,z)) != u | L(x,T(y,z),z) = u. [para(4932(a,1),644(a,1))]. 4935 (x * T(x \ y,z)) * (y \ 1) = K((x * (y \ 1)) \ 1,z). [hyper(4687,a,1159,a),flip(a)]. 4936 (x * K((x \ y) \ 1,z)) * (x \ 1) = K((y * (x \ 1)) \ 1,z). [para(4524(a,1),4935(a,1,1))]. 4937 R(K(x \ 1,y),z,u) != w | K(R(x,z,u) \ 1,y) = w. [para(4359(a,1),4688(a,1,1))]. 4938 R(T(x,y),z,x) / T(T(x,z),y) = K(x * z,T(T(x,z),y)). [para(45(a,2),4796(a,1,1))]. 4939 (K(x \ 1,y) * z) * u != w * (z * u) | K(R(x,z,u) \ 1,y) = w. [para(4819(a,1),23(a,1))]. 4940 K(((x * y) / (z * y)) \ 1,u) * (z * y) = (K((x / z) \ 1,u) * z) * y. [para(111(a,1),4819(a,1,1,1,1))]. 4941 (x * y) * z != x * (y * K(u \ 1,w)) | K(L(u,y,x) \ 1,w) = z. [para(4827(a,1),22(a,1)),flip(a)]. 4942 (x * y) * K(((x * y) \ z) \ 1,u) = x * (y * K((y \ (x \ z)) \ 1,u)). [para(183(a,1),4827(a,1,2,1,1))]. 4943 L(x,L(K(y,z),u,w),L(K(y,z),u,w) \ 1) = x. [para(4829(a,1),4866(a,1,2))]. 4944 x / (L(K(y,z),u,w) * x) = 1 / L(K(y,z),u,w). [hyper(76,a,4943,a(flip),b,2374,a)]. 4945 x / (L(K(y,z),u,w) * x) = L(K(y,z),u,w) \ 1. [hyper(189,a,2191,a(flip),b,4944,a)]. 4946 (L(K(x,y),z,u) \ 1) \ w = L(K(x,y),z,u) * w. [para(4945(a,1),69(a,1,1))]. 4947 x * (y * T(y \ (x \ y),z)) != u | K(x \ 1,z) * y = u. [para(713(a,1),4867(a,1))]. 4948 R(T(x,y) * K(T(y * L(x,z,u),T(x,y)),T(x,y)),w,v5) * (((x * y) * L(x,z,u)) / T(x,y)) = (((x * y) * L(x,z,u)) / T(x,y)) * R(T(x,y),w,v5). [para(1278(a,1),4334(a,1,1,1,2,1))]. 4949 T(x * y,z) / (y * x) = (y * x) \ T(x * y,z). [para(95(a,1),4458(a,1,2,1)),flip(a)]. 4950 ((x * y) \ T(y * x,z)) * (x * y) = T(y * x,z). [para(4949(a,1),19(a,1,1))]. 4952 (x * y) * K(R(y,x,y),x * y) = ((y * x) / R(y,x,y)) * y. [hyper(1649,a,4483,a),flip(a)]. 4953 T(T(x * K(y * T(x,z),x),u),y) = R(T(y \ (y * x),u),y,T(x,z)). [para(4492(a,1),763(a,1,1,1))]. 4954 T(x,x \ y) / (y \ x) = (((y \ x) \ 1) \ y) * ((y \ x) \ 1). [hyper(189,a,2534,a(flip),b,4588,a)]. 4955 (T(x,y) * y) / ((T(x,y) * y) / x) = x * K(y,x). [para(4430(a,1),4615(a,2,2))]. 4956 (x * (y \ T(y * z,u))) / (x * z) = K((x * z) / (x * (y \ 1)),u). [para(729(a,1),4637(a,1,1,2))]. 4957 K((x * y) / (x * (z \ y)),u) = (x * (K(z,u) * y)) / (x * y). [para(4548(a,1),4637(a,1,1,2)),flip(a)]. 4958 R(T(x,y),z,x) / T(T(x,y),z) = K(z * x,T(T(x,y),z)). [para(4910(a,1),4797(a,1,1))]. 4959 T(K(x,R(y \ 1,z,u) \ 1),w) = R(T(K(y,x),w),z,u) \ 1. [para(45(a,2),4823(a,2,1))]. 4960 (x * L(K(y,z),u,w)) \ x = L(K(y,z),u,w) \ 1. [para(4829(a,1),4834(a,1,1,2))]. 4961 (x * K(y \ 1,z)) * y = (x * y) * K(y \ 1,z). [para(4528(a,1),4836(a,1,1))]. 4963 x \ ((y * x) * K(x \ 1,z)) = T(y * K(x \ 1,z),x). [hyper(147,a,4961,a,b,17,a),flip(a)]. 4964 (x * K(y \ 1,z)) / y = (x / y) * K(y \ 1,z). [hyper(76,a,90,a(flip),b,4961,a)]. 4966 T((x / y) * K(y \ 1,z),y) != u | y \ (x * K(y \ 1,z)) = u. [para(4964(a,1),307(a,1,1))]. 4967 x \ ((y * x) * K(x \ 1,x)) = x * (T((x \ 1) \ 1,y) \ y). [hyper(189,a,4018,a(flip),b,4963,a)]. 4968 K(x,y) * (K(y,x) * T(K(y,x) \ z,u)) = T(K(x,y) * z,u). [para(4524(a,2),4876(a,1,2))]. 4969 T(K(x,y) * (z * K(y,x)),u) = K(x,y) * (T(z,u) * K(y,x)). [para(4754(a,1),4876(a,1,2)),flip(a)]. 4970 (x \ 1) * (K(x,y) * ((x \ 1) \ z)) = K(x,y) * z. [para(2648(a,1),4906(a,2,1))]. 4971 (1 / x) * (K(x,y) * ((1 / x) \ z)) = K(x,y) * z. [para(69(a,1),4927(a,2,1,1))]. 4972 K(x,y) * ((1 / x) * z) = (1 / x) * (K(x,y) * z). [para(16(a,1),4971(a,1,2,2)),flip(a)]. 4974 (K(x,y) * ((1 / x) * z)) / (K(x,y) * z) = 1 / x. [hyper(76,a,4972,a,b,xx)]. 4975 (K(x,y) * z) \ (K(x,y) * ((1 / x) * z)) = T(1 / x,K(x,y) * z). [hyper(75,a,4972,a,b,113,a)]. 4979 K((x * ((1 / y) \ 1)) \ 1,z) / y = (1 / y) * K(((1 / y) \ x) \ 1,z). [hyper(257,a,4936,a)]. 4980 ((x * y) / R(x,y,x)) * x = (y * x) * K(T(x,y),y * x). [para(3899(a,1),4952(a,1,2)),flip(a)]. 4981 ((x * y) / R(x,y,x)) * x = T(x,y * x) * T(y,x). [hyper(189,a,4474,a(flip),b,4980,a)]. 4982 T(x,(x \ y) * x) * T(x \ y,x) = (y / R(x,x \ y,x)) * x. [para(17(a,1),4981(a,1,1,1)),flip(a)]. 4983 R(T(K(x,y),z),u,w) \ 1 = T(R(K(x,y),u,w) \ 1,z). [para(4821(a,1),4959(a,1,1)),flip(a)]. 4984 x * (T((x \ 1) \ 1,y) \ y) = x \ (y * (1 / (1 / x))). [para(2611(a,1),4967(a,1,2)),flip(a)]. 4985 T(K(x \ 1,x) * y,z) = K(x \ 1,x) * T(y,z). [para(4149(a,1),4968(a,1,2)),flip(a)]. 4987 T(x * K(y \ 1,y),z) = K(y \ 1,y) * T(x,z). [para(2475(a,1),4985(a,1,1))]. 4988 T(K(x,y) * K(z \ 1,z),x) = K(z \ 1,z) * K(x,y). [para(2649(a,1),4987(a,2,2))]. 4989 T((T(x,y) \ 1) * x,y) = K(x \ 1,x) * K(y,x). [para(4633(a,1),4988(a,1,1))]. 4990 T((T(x,y) \ 1) * x,y) = (T(x,y) \ 1) * x. [hyper(189,a,4635,a(flip),b,4989,a)]. 4992 T(K(x,y) * (z * K(y,x)),u) != K(x,y) * w | T(z,u) * K(y,x) = w. [para(4969(a,2),22(a,1))]. 4993 R(x \ y,(y / x) \ x,x \ y) = ((y / x) \ x) \ x. [para(4717(a,1),4720(a,2,1))]. 4994 R(x * K(y,x),z,u) * (z * u) = K(y,R(x,z,u)) * ((x * z) * u). [hyper(3847,a,4746,a),flip(a)]. 4995 L(K(x,T(y,z)),T(y,z),z) = (y * z) \ ((y * K(x,y)) * z). [para(113(a,1),4792(a,1,2)),flip(a)]. 4996 R(T(K(x,y),y * z),y,z) = L(K(x,T(y,z)),T(y,z),z). [hyper(189,a,2770,a(flip),b,4995,a),flip(a)]. 4997 K(L(x,y,z) \ 1,(x \ 1) * L((x \ 1) \ 1,u,w)) = 1. [hyper(189,a,265,a(flip),b,4828,a)]. 4999 K(L(x,y,z) \ 1,x \ L(x,u,w)) = 1. [para(854(a,1),4997(a,1,2))]. 5000 T(L(x,y,z) \ 1,x \ L(x,u,w)) = L(x,y,z) \ 1. [hyper(40,a,4999,a)]. 5001 T(x \ L(x,y,z),L(x,u,w) \ 1) = x \ L(x,y,z). [hyper(38,a,5000,a)]. 5002 T(L(x,y,z) * (x \ 1),L(x,u,w) \ 1) = x \ L(x,y,z). [para(962(a,2),5001(a,1,1))]. 5003 (L(x,y,z) * (x \ 1)) \ (x \ 1) = (x \ 1) / (x \ L(x,y,z)). [para(5002(a,1),3758(a,1,2)),flip(a)]. 5004 (L(x,y,z) * (x \ 1)) \ (x \ 1) = L(x,y,z) \ 1. [hyper(189,a,2169,a(flip),b,5003,a)]. 5005 (x \ L(x,y,z)) \ (x \ 1) = L(x,y,z) \ 1. [para(962(a,1),5004(a,1,1))]. 5006 (L(x,y,z) \ x) * (x \ 1) = L(x,y,z) \ 1. [hyper(189,a,4700,a(flip),b,5005,a(flip)),flip(a)]. 5007 (L(x,y,z) \ x) \ (L(x,y,z) \ 1) = x \ 1. [hyper(75,a,5005,a(flip),b,4700,a(flip))]. 5008 (L(1 / x,y,z) \ 1) / x = L(1 / x,y,z) \ (1 / x). [hyper(257,a,5006,a)]. 5009 (L(x \ 1,y,z) \ (x \ 1)) * T(1 / (1 / x),x \ 1) = K(x \ 1,x) * (L(x \ 1,y,z) \ 1). [para(5006(a,1),4137(a,1,2)),flip(a)]. 5010 (x / R(y,y \ x,y)) * y = T(y,x) * T(y \ x,y). [para(3508(a,1),4982(a,1,1)),flip(a)]. 5011 (x / R(y,y \ x,y)) * y = (y \ x) * T(y,x). [hyper(189,a,3333,a(flip),b,5010,a)]. 5012 x / R(y,y \ x,y) = y \ (x * K(y,x)). [hyper(21,a,4499,a,b,5011,a)]. 5013 x / R(y,y \ x,y) = (y * K(x,y)) \ x. [hyper(189,a,4641,a,b,5012,a)]. 5014 x / ((y \ x) \ T(x,y)) = (y * K(x,y)) \ x. [para(3670(a,1),5013(a,1,2))]. 5015 ((x * K(y,x)) \ y) \ y = (x \ y) \ T(y,x). [para(5014(a,1),69(a,1,1))]. 5016 (x \ (y * K(x,y))) \ y = (x \ y) \ T(y,x). [para(4641(a,1),5015(a,1,1))]. 5017 (x \ ((x * y) / x)) \ y = (x \ y) \ T(y,x). [para(4375(a,2),5016(a,1,1,2))]. 5018 a(x,y,z) \ K(a(x,y,z),z \ L(z,y,x)) = 1 / a(x,y,z). [para(4402(a,2),1758(a,1,2))]. 5019 T(x * K(y,x),z) * (x \ y) = x \ (y * T(x,z)). [hyper(189,a,1101,a(flip),b,4601,a(flip))]. 5020 T(T(x,y) * K(x * y,T(x,y)),z) * (T(x,y) \ (x * y)) = T(x,y) \ ((T(x,z) * y) * T(x,y)). [para(1514(a,2),5019(a,2,2))]. 5021 (K(x,y) * (((1 / x) * z) * T(((1 / x) * z) \ z,u))) / (K(x,y) * z) = K((1 / x) \ 1,u). [para(4974(a,1),4759(a,2,1,1))]. 5022 ((x \ y) / y) \ K(x \ 1,x) = 1 / ((x \ y) / y). [para(4778(a,1),4770(a,1,2))]. 5023 (((x \ 1) \ y) / y) \ K(x,x \ 1) = 1 / (((x \ 1) \ y) / y). [para(1838(a,1),5022(a,1,2))]. 5025 T(x * K(y,x),x * (z / x)) = T(x,z) * K(y,T(x,z)). [para(3510(a,1),4793(a,1,2,2)),flip(a)]. 5026 T(x * K(y,x),x * (z / x)) = T(x * K(y,x),z). [hyper(189,a,4653,a(flip),b,5025,a)]. 5027 T(x * K(y,x),T(z * x,u)) = T(x * K(y,x),T(x * z,u)). [para(4159(a,1),5026(a,1,2)),flip(a)]. 5028 (x * K(y,z \ 1)) * z = (x * z) * K(y,z \ 1). [para(4648(a,1),4915(a,1,1))]. 5032 (x * K(y,(z \ 1) \ 1)) * (z \ 1) = (x * (z \ 1)) * K(y,z). [para(3081(a,1),5028(a,2,2))]. 5033 (x * K(y,z)) * (z \ 1) = (x * (z \ 1)) * K(y,z). [para(3081(a,1),5032(a,1,1,2))]. 5034 L(T(1 / x,y),y,K(x,z)) = T(1 / x,K(x,z) * y). [hyper(645,a,4975,a)]. 5035 L(T(K(x,y),z),z,K(x,u)) = K(T(1 / x,K(x,u) * z) \ 1,y). [para(5034(a,1),4830(a,1,1,1)),flip(a)]. 5036 L(T(K(x,y),z),z,K(x,u)) = T(K(x,y),K(x,u) * z). [hyper(189,a,4749,a(flip),b,5035,a)]. 5037 K(x,R(y,z,u)) * ((y * z) * u) = ((y * K(x,y)) * z) * u. [hyper(204,a,4994,a),flip(a)]. 5038 K(x,R(y,z,u)) * ((y * z) * u) = (y * (K(x,y) * z)) * u. [para(3828(a,1),5037(a,2,1))]. 5039 (x * y) \ (x * ((y * z) * K(u \ 1,u))) = L(z,y,x) * K(u \ 1,u). [para(4068(a,1),4071(a,1,2))]. 5041 (x * y) \ (x * ((y * z) * K(u,u \ 1))) = K(u,u \ 1) * L(z,y,x). [para(4077(a,1),4132(a,1,2))]. 5042 ((x \ (y * (z \ 1))) * x) / (z \ 1) = z * ((x \ (z \ y)) * x). [para(3272(a,1),4190(a,1,1))]. 5043 x / (y * ((z \ (y \ x)) * z)) = K(z,x / (z / (y \ 1))). [para(5042(a,1),4676(a,1,2))]. 5044 x / (y * (z * ((u \ (z \ (y \ x))) * u))) = K(u,x / (y * (u / (z \ 1)))). [para(5042(a,1),4918(a,1,2,2))]. 5045 R(x * K(y,x),y,L(x,z,u)) = x * K(y * L(x,z,u),x). [hyper(4506,a,4491,a)]. 5046 T(x * K(y * L(x,z,u),x),y) = R(x,y,L(x,z,u)). [para(4491(a,1),603(a,2,1)),flip(a)]. 5047 T(T(x * K(y * L(x,z,u),x),w),y) = R(T(y \ (y * x),w),y,L(x,z,u)). [para(4491(a,1),763(a,1,1,1))]. 5048 T(x,y) * K(y * L(x,z,u),T(x,y)) = R(x,y,L(x,z,u)). [hyper(4661,a,5046,a)]. 5049 T(R(x,y,z) * K(u * R(1 / (1 / x),y,z),R(x,y,z)),u) = R(R(x,y,z),u,L(R(x,y,z),x \ 1,x)). [para(475(a,1),5046(a,1,1,2,1,2))]. 5050 T(T(x * K(y * L(T(x,z),u,w),x),z),y) = R(T(x,z),y,L(T(x,z),u,w)). [para(4653(a,1),5046(a,1,1))]. 5051 (x / (y * K(z,y))) * R(y * K(z,y),z,L(y,u,w)) = (x * (y * K(z * L(y,u,w),y))) / (y * K(z,y)). [para(5045(a,1),1646(a,1,1,2)),flip(a)]. 5052 T(T(x * K(y * R(x,z,u),x),w),y) = R(T(y \ (y * x),w),y,R(x,z,u)). [para(4493(a,1),763(a,1,1,1))]. 5053 (x * y) * (z \ T(z * L(y \ (z \ 1),y,x),u)) = (x * K(y \ 1,u)) * (z \ 1). [para(729(a,1),4533(a,1,2))]. 5055 L(L(x * K(y,x),z,u),w,v5) * y = y * L(L(x,w,v5),z,u). [para(4729(a,1),4730(a,1,1,1))]. 5056 K(R(x,y,z),T(x,u) * u) = K(R(x,y,z),x * u). [hyper(189,a,4744,a(flip),b,4888,a)]. 5057 T(T(x * K(y * T(x,z),x),u),y) = R(T(x,u),y,T(x,z)). [para(16(a,1),4953(a,2,1,1))]. 5058 (x * y) \ (x * (y * (z * K(u \ 1,u)))) = L(z,y,x) * K(u \ 1,u). [para(4068(a,1),5039(a,1,2,2))]. 5059 (x * y) \ (x * (y * (z * K(u,u \ 1)))) = K(u,u \ 1) * L(z,y,x). [para(4077(a,1),5041(a,1,2,2))]. 5060 L(x * K(y \ 1,y),z,u) = L(x,z,u) * K(y \ 1,y). [hyper(355,a,5058,a)]. 5061 K(x \ 1,L(x,y,z)) = K(x \ 1,x). [hyper(4740,a,5060,a)]. 5062 L(x * K(y \ 1,y),z,u) = K(y \ 1,y) * L(x,z,u). [hyper(189,a,2475,a,b,5060,a)]. 5063 (x * y) * K(z \ 1,L(z,u,w)) = x * (y * K(z \ 1,z)). [para(5061(a,2),4068(a,1,2))]. 5064 L(K(x \ 1,x) * y,z,u) = K(x \ 1,x) * L(y,z,u). [para(2475(a,2),5062(a,1,1))]. 5065 (x * y) * K(z \ 1,L(z,u,w)) = x * (y * K(z \ 1,L(z,v5,v6))). [para(5061(a,2),5063(a,2,2,2))]. 5066 K(L(x,y,z) \ 1,L(x,u,w)) = K(x \ 1,L(x,v5,v6)). [hyper(4941,a,5065,a)]. 5067 K(x \ 1,L(x,y,z)) * (u / L(x,w,v5)) = u / ((L(x,w,v5) \ 1) \ 1). [para(5066(a,1),2483(a,1,1))]. 5068 K(x \ 1,L(x,y,z)) * (x / L(x,u,w)) = x * T(L(x,u,w) \ 1,x). [para(5066(a,1),2544(a,1,1))]. 5069 K(L(x,y,z) \ 1,L(x,u,w)) * K(L(x,v5,v6),x \ 1) = 1. [para(5066(a,2),3878(a,1,1))]. 5070 K(L(x,y,z),L(x,u,w) \ 1) = K(L(x,v5,v6),x \ 1). [hyper(3894,a,5069,a)]. 5071 L(x,y,z) \ K(L(x,u,w),x \ 1) = 1 / L(x,y,z). [hyper(75,a,5070,a(flip),b,1535,a(flip))]. 5072 L(x,y,z) \ K(x,x \ 1) = 1 / L(x,y,z). [para(262(a,1),5071(a,1,2,1))]. 5073 L(x,y,z) \ (1 / x) = x \ (1 / L(x,y,z)). [hyper(75,a,5072,a(flip),b,1551,a(flip)),flip(a)]. 5074 L(x * K(y,y \ 1),z,u) = K(y,y \ 1) * L(x,z,u). [hyper(355,a,5059,a)]. 5075 L(x * K(y,y \ 1),z,u) = L(x,z,u) * K(y,y \ 1). [hyper(189,a,2502,a(flip),b,5074,a)]. 5076 K(x,x \ 1) * L(x,y,z) = L(T(x,x \ 1),y,z). [para(1754(a,1),5074(a,1,1)),flip(a)]. 5077 (x \ 1) * L(((1 / x) \ y) * K(x,x \ 1),z,u) = L(y * x,z,u) / x. [para(5074(a,2),2456(a,1,2))]. 5078 K(L(x,y,z),x \ 1) = K(x,x \ 1). [hyper(21,a,4446,a,b,5076,a),flip(a)]. 5079 (x * y) * K(L(z,u,w),z \ 1) = x * (y * K(z,z \ 1)). [para(5078(a,2),4077(a,1,2))]. 5080 K(x,L(x \ 1,y,z)) = K(x,x \ 1). [hyper(4740,a,5075,a)]. 5081 L(x \ 1,y,z) * K(x,x \ 1) = L(1 / x,y,z). [para(1541(a,1),5075(a,1,1)),flip(a)]. 5082 L(x * K(y \ z,(y \ z) \ 1),u,w) = L(x,u,w) * K(y \ z,z \ y). [para(1992(a,1),5075(a,2,2))]. 5083 L(x,y,z) \ K(x,L(x \ 1,u,w)) = 1 / L(x,y,z). [para(5080(a,2),5072(a,1,2))]. 5084 L(x \ 1,y,z) \ K(x \ 1,x) = L(1 / x,y,z) \ 1. [para(5081(a,1),3205(a,1,1)),flip(a)]. 5085 L(1 / x,y,z) \ (1 / x) = L(x \ 1,y,z) \ (x \ 1). [para(5081(a,1),3214(a,1,1))]. 5086 (x \ 1) * (L(x \ 1,y,z) \ x) = L(1 / x,y,z) \ 1. [hyper(189,a,970,a(flip),b,5084,a(flip)),flip(a)]. 5087 K(L(x \ 1,y,z),(x \ 1) \ 1) = K(L(x,u,w) \ 1,(x \ 1) \ 1). [hyper(4941,a,5079,a),flip(a)]. 5088 K(L(x \ 1,y,z),(x \ 1) \ 1) = K(L(x,u,w) \ 1,x). [hyper(189,a,3081,a(flip),b,5087,a)]. 5089 K(L(x \ 1,y,z),x) = K(L(x,u,w) \ 1,x). [hyper(189,a,3081,a(flip),b,5088,a(flip)),flip(a)]. 5090 K(x,L(x,y,z) \ 1) = K(L(x \ 1,u,w),x) \ 1. [para(5089(a,2),3871(a,1,1)),flip(a)]. 5091 K(x,L(x \ 1,y,z)) = K(x,L(x,u,w) \ 1). [hyper(189,a,3871,a(flip),b,5090,a),flip(a)]. 5092 L(x,y,z) \ K(x,L(x,u,w) \ 1) = 1 / L(x,y,z). [para(5091(a,1),5083(a,1,2))]. 5093 (L(x,y,z) \ x) / x = 1 / L(x,y,z). [hyper(189,a,4652,a(flip),b,5092,a(flip)),flip(a)]. 5095 (1 / L(x,y,z)) * x = L(x,y,z) \ x. [para(5093(a,1),19(a,1,1))]. 5096 x / L(x,y,z) = L(x,y,z) \ x. [hyper(1264,a,5095,a)]. 5097 (L(x,y,z) \ x) * L(x,y,z) = x. [para(5096(a,1),19(a,1,1))]. 5098 (L(x,y,z) \ x) \ x = L(x,y,z). [para(5096(a,1),69(a,1,1))]. 5099 K(x \ 1,L(x,y,z)) * (u / L(x,w,v5)) = u / L((x \ 1) \ 1,w,v5). [para(2200(a,2),5067(a,2,2))]. 5100 K(x \ 1,L(x,y,z)) * (x / L(x,u,w)) != v5 | (L(x,u,w) \ 1) * x = v5. [para(5068(a,2),205(a,1))]. 5102 ((x \ (y * T(x,z))) * x) / T(x,z) = K(z,x) * T(K(z,x) \ y,x). [para(4356(a,2),4387(a,2,2,1,1))]. 5103 (K(x,y) * T(K(x,y) \ z,y)) * T(y,x) = (y \ (z * T(y,x))) * y. [para(5102(a,1),19(a,1,1))]. 5104 (x \ (y * T(x,z))) * x != u * T(x,z) | K(z,x) * T(K(z,x) \ y,x) = u. [para(5103(a,1),23(a,1))]. 5105 T(x,x \ y) \ R(T(x,x \ y),z,u) = x \ (y \ ((R(x,z,u) * (x \ y)) * x)). [hyper(75,a,4419,a(flip),b,4382,a),flip(a)]. 5106 L(L(x,y,z),z * y,K(z,u)) = (T(z,u) * y) \ (T(z,u) * (y * x)). [para(4407(a,1),4574(a,1,2)),flip(a)]. 5107 L(L(x,y,z),z * y,K(z,u)) != w | L(x,y,T(z,u)) = w. [para(5106(a,2),355(a,1))]. 5108 T(x \ y,z) * (y \ (x * K(z,x \ y))) = T((x \ y) * (y \ x),z). [para(15(a,1),4931(a,2,1,2,2))]. 5109 (x * y) * K(((x * y) \ (z * y)) \ 1,u) = (K((z / x) \ 1,u) * x) * y. [hyper(189,a,4756,a(flip),b,4940,a(flip)),flip(a)]. 5110 (1 / x) * K(((1 / x) \ y) \ 1,z) = K((y * x) \ 1,z) / x. [para(69(a,1),4979(a,1,1,1,1,2)),flip(a)]. 5111 x / L((y \ ((z \ 1) \ (z \ x))) * y,z \ 1,z) = K(y,x / (z * (y / ((z \ 1) \ 1)))). [para(166(a,1),5044(a,1,2))]. 5112 (x \ 1) * L((x \ 1) \ y,z,u) = L(y * x,z,u) / x. [para(2508(a,1),5077(a,1,2,1))]. 5113 L(x * y,z,u) / y = y \ L(y * x,z,u). [hyper(189,a,817,a(flip),b,5112,a(flip))]. 5114 (x \ L(x * y,z,u)) * x = L(y * x,z,u). [para(5113(a,1),19(a,1,1))]. 5115 x \ L(x * (y / x),z,u) = L(y,z,u) / x. [para(19(a,1),5113(a,1,1,1)),flip(a)]. 5116 L((x \ y) * x,z,u) = (x \ L(y,z,u)) * x. [para(17(a,1),5114(a,1,1,2,1)),flip(a)]. 5117 L(x * (y / x),z,u) = x * (L(y,z,u) / x). [para(5115(a,1),17(a,1,2)),flip(a)]. 5118 L(T((x \ y) * x,z),u,w) = T((x \ L(y,u,w)) * x,z). [para(5116(a,1),43(a,2,1))]. 5119 L((x \ ((y \ 1) \ z)) * x,y \ 1,y) = (x \ (y * z)) * x. [para(362(a,1),5116(a,2,1,2))]. 5120 K(x,L(x * (y / x),z,u)) = K(x,L(y,z,u)). [para(5117(a,2),4578(a,1,2))]. 5121 (x * y) * L(z * ((y \ z) / z),y,x) = (x * K(z,y \ 1)) * z. [para(5117(a,2),4916(a,1,2))]. 5122 L((x \ ((y \ 1) \ (y \ z))) * x,y \ 1,y) = (x \ z) * x. [para(17(a,1),5119(a,2,1,2))]. 5123 x / L((y \ ((z \ 1) \ (z \ x))) * y,z \ 1,z) = K(y,y \ x). [para(5122(a,2),4294(a,1,2))]. 5124 x * (y * (z * ((y \ z) / z))) = (x * K(z,y \ 1)) * z. [hyper(207,a,5121,a)]. 5125 (x * K(y,z \ 1)) * y = x * T(y,z \ 1). [para(3357(a,1),5124(a,1,2)),flip(a)]. 5130 (x * K(y,z)) * y = x * T(y,(z \ 1) \ 1). [para(3081(a,1),5125(a,1,1,2))]. 5132 (x * K(y,z)) * y = x * T(y,z). [para(2671(a,1),5130(a,2,2))]. 5133 x * T(y * K(x,z),x) = y * T(x,z). [hyper(206,a,5132,a)]. 5134 (K(x,y) * K(y,z)) * y = T(y,z) * K(x,y). [hyper(189,a,2759,a,b,5132,a)]. 5136 (x * K(y,z)) \ (x * T(y,z)) = y. [hyper(80,a,5132,a)]. 5138 (x * y) * K(T(x,y),z) = T(x,z) * y. [hyper(21,a,1514,a,b,5132,a)]. 5139 (x * y) * K(y,z) = x * T(y,z). [hyper(21,a,1476,a,b,5132,a)]. 5140 (x / y) * T(y,z) = x * K(y,z). [hyper(21,a,1461,a,b,5132,a),flip(a)]. 5142 (x * (y * T(z,u))) \ ((x * (y * K(z,u))) * z) = a(x,y * K(z,u),z). [para(5132(a,1),27(a,2,1,2)),flip(a)]. 5143 L(x \ 1,x,y * K(x,z)) = (y * T(x,z)) \ (y * K(x,z)). [para(5132(a,1),140(a,2,1))]. 5145 x \ (y * T(x,z)) != u | T(y * K(x,z),x) = u. [para(5132(a,1),238(a,1,2))]. 5146 (x * K(y,z)) * T(z,y) = x * z. [para(3919(a,1),5132(a,1,1)),flip(a)]. 5148 (T(x,y) \ 1) * y = (x \ 1) * T(y,x). [para(4369(a,1),5132(a,1,1))]. 5149 K(x,y * K(x,z)) * K(y * T(x,z),x) = x \ R(x,y * K(x,z),x). [para(5132(a,1),4696(a,1,2,1))]. 5150 L(x,K(x,y),z) = x. [hyper(4453,a,5136,a)]. 5151 (x * K(y,z)) \ (x * y) = y * K(z,y). [hyper(189,a,4507,a(flip),b,5150,a(flip)),flip(a)]. 5156 R(x,y,K(y,z)) = x. [hyper(4440,a,5139,a)]. 5157 (x * y) / K(z,y) = x * T(y,z). [hyper(3953,a,5139,a)]. 5158 (x * T(y,z)) * K(z,y) = x * y. [hyper(3929,a,5139,a)]. 5159 (x / y) \ (x * K(y,z)) = T(y,z). [hyper(430,a,5139,a)]. 5160 x * T(x \ y,z) = y * K(x \ y,z). [hyper(411,a,5139,a),flip(a)]. 5162 (K(x,x \ 1) * y) * K(y,z) = T(K(x,x \ 1) * y,z). [hyper(189,a,4147,a,b,5139,a)]. 5164 ((x / T(y,z)) * y) \ x = K(y,z). [hyper(75,a,19,a(flip),b,5139,a)]. 5165 (x * K(y,z)) \ ((x * y) * K(y,z)) = y. [hyper(75,a,5139,a,b,5132,a)]. 5167 (x * y) * K(y,z) != x * u | T(y,z) = u. [para(5139(a,2),22(a,1))]. 5168 K(x,y) \ (z * T(x,y)) != u | T(z * x,K(x,y)) = u. [para(5139(a,1),238(a,1,2))]. 5172 T(x,x \ T(y,z)) * K(y,z) = (x / y) * T(x * (y / x),z). [hyper(189,a,4203,a(flip),b,5140,a(flip))]. 5174 x * K(y \ x,z) != u | y * T(y \ x,z) = u. [para(5140(a,1),456(a,1))]. 5175 (x / y) \ T(x * K(y,z),(x / y) \ 1) = (((x / y) \ 1) \ T(y,z)) * ((x / y) \ 1). [para(5140(a,1),768(a,1,2,1))]. 5176 (x / T(y,z)) * y = x * K(z,y). [hyper(1489,a,5146,a)]. 5177 (x / T(y,z)) / K(z,y) = x / y. [hyper(418,a,5146,a),flip(a)]. 5178 (x / y) * K(z,y) = x / T(y,z). [hyper(76,a,19,a(flip),b,5146,a),flip(a)]. 5179 (K(x,y) * K(z,y * x)) \ (x * y) = T(y * x,z). [hyper(75,a,4373,a(flip),b,5146,a)]. 5180 (x \ y) * K(y,x) = x \ T(y,x). [hyper(21,a,4904,a,b,5146,a)]. 5183 (x * T(y,z)) * T(z,y) = (x * y) * z. [para(5139(a,1),5146(a,1,1))]. 5184 (x * T(x \ y,z)) \ y = K(z,x \ y). [para(5157(a,1),184(a,1,1))]. 5185 (x * T(y * K(z,y),u)) / K(z,T(y * K(z,y),u)) = x * T(y,u). [para(4420(a,1),5157(a,2,2))]. 5189 (x * y) * K(y,z) != u | x * T(y,z) = u. [para(5158(a,1),3921(a,1,1)),flip(b)]. 5190 (x * K(y,z)) * z = (x * z) * K(y,z). [para(5146(a,1),5158(a,1,1)),flip(a)]. 5191 ((x / y) \ T(x * K(y,z),(x / y) \ 1)) / T(y,z) = K(x * K(y,z),(x / y) \ 1). [para(5159(a,1),4727(a,1,2))]. 5192 T(x,y) / ((z / x) \ T(z * K(x,y),(z / x) \ 1)) = K((z / x) \ 1,z * K(x,y)). [para(5159(a,1),4803(a,1,1))]. 5194 (x / y) * K(z,y) != u | x / T(y,z) = u. [para(5177(a,1),200(a,1,1)),flip(b)]. 5196 (x / y) * K(x,y) != z | T(x,y) / y = z. [para(5178(a,2),3580(a,1))]. 5198 x \ T(x * y,x) = y * K(x * y,x). [para(16(a,1),5180(a,1,1)),flip(a)]. 5200 x \ T(x * K(y \ 1,y),z) = T(K(y \ 1,y) * K(x,z),x). [hyper(75,a,4987,a,b,5133,a)]. 5202 x * T(y,z) != u | (x * K(y,z)) * y = u. [para(5133(a,1),205(a,1))]. 5206 (x * K(y,z)) * (y * K(z,y)) = x * y. [para(5151(a,1),17(a,1,2))]. 5207 x / (y * K(z,y)) = (x / y) * K(y,z). [para(5151(a,1),234(a,1,2))]. 5208 K((x \ y) \ y,z) = T(K(x,z),y). [hyper(4784,a,5160,a),flip(a)]. 5209 K((x \ y) \ 1,z) = K(y \ x,z). [hyper(4755,a,5160,a)]. 5210 T(K(x / y,z),x) = K(y \ x,z). [hyper(4639,a,5160,a)]. 5211 x \ T(x * y,z) = y * K((x \ 1) \ y,z). [hyper(785,a,5160,a)]. 5212 (x \ y) * K((x \ 1) \ (x \ y),z) = x \ T(y,z). [hyper(189,a,771,a(flip),b,5160,a(flip))]. 5217 x \ (y * T(y \ x,z)) != u | K(y \ x,z) = u. [para(5160(a,2),237(a,1,2)),flip(b)]. 5219 R(T(K(x \ y,y),y * z),y,z) = (y * z) \ ((x * T(x \ y,y)) * z). [para(5160(a,2),2770(a,1,2,1)),flip(a)]. 5222 K(T(x,x \ y),z) = T(K(x,z),y). [para(114(a,2),5208(a,1,1))]. 5223 T(K(x,y),z * x) = K(T(x,z),y). [para(3555(a,2),5208(a,1,1)),flip(a)]. 5224 K(((x * y) \ x) \ 1,z) = K(y,z). [hyper(189,a,1215,a(flip),b,5209,a)]. 5226 K(T(x,y) \ 1,z) = K((x * y) \ y,z). [para(35(a,2),5209(a,1,1,1))]. 5228 K(L(x \ y,x,z) \ 1,u) = K((z * y) \ (z * x),u). [para(104(a,2),5209(a,1,1,1))]. 5231 K(x,(y \ z) \ 1) = K(z \ y,x) \ 1. [para(5209(a,1),3871(a,1,1)),flip(a)]. 5233 K(x \ y,z) \ z != u | T(z,(y \ x) \ 1) = u. [para(5209(a,1),4386(a,1,1))]. 5235 K(L(x \ y,z,u) \ 1,w) = L(K(y \ x,w),z,u). [para(5209(a,1),4824(a,1,1)),flip(a)]. 5236 (1 / x) * K(y \ (1 / x),z) = K((y * x) \ 1,z) / x. [para(5209(a,1),5110(a,1,2))]. 5237 T(((x * y) \ x) \ 1,z) = ((x * y) \ x) \ K(y,z). [hyper(75,a,5224,a(flip),b,4359,a),flip(a)]. 5238 (1 / ((x * y) \ x)) * K(y,z) = T(1 / ((x * y) \ x),z). [para(5224(a,1),4442(a,1,2))]. 5239 R(T(x,y * K(x,z)),y,K(x,z)) = T(x,y). [para(5165(a,1),832(a,1,1)),flip(a)]. 5241 ((x * y) * z) / (y * z) = R(x,T(y,z),T(z,y)). [hyper(76,a,5183,a(flip),b,3579,a)]. 5243 (x \ T(x * y,z)) \ y = K(z,(x \ 1) \ y). [para(729(a,1),5184(a,1,1))]. 5244 K(x,(y \ 1) \ (y \ z)) = (y \ T(z,x)) \ (y \ z). [para(771(a,1),5184(a,1,1)),flip(a)]. 5245 ((x * T(x \ y,z)) * u) \ (y * u) = K(z,(x * u) \ (y * u)). [para(1100(a,1),5184(a,1,1))]. 5246 K(x,y) * z != (u * K(x,y)) * y | T(u * y,K(x,y)) = z. [para(5190(a,2),148(a,2))]. 5247 T(x * y,x) / T(x,y) = y * K(x * y,x). [hyper(189,a,3977,a,b,5198,a(flip)),flip(a)]. 5248 x * (y * K(x * y,x)) = T(x * y,x). [para(5198(a,1),17(a,1,2))]. 5250 T(x,y) * K((x \ ((y \ 1) \ x)) * T(x,y),x \ ((y \ 1) \ x)) = (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,x \ ((y \ 1) \ x)). [para(3755(a,1),5198(a,1,2,1)),flip(a)]. 5252 (x * K(y,z)) * z = x * (z * K(y,z)). [para(3919(a,1),5206(a,1,1)),flip(a)]. 5254 (x / (y \ z)) * K(y \ z,y) = x / (z / y). [para(4295(a,1),5207(a,1,2)),flip(a)]. 5256 K((x * y) \ y,T(x,z)) = K(x \ 1,x). [hyper(189,a,2909,a(flip),b,5226,a(flip))]. 5257 K((x * y) \ y,z) = K(y \ (x \ y),z). [para(4267(a,1),5226(a,1,1)),flip(a)]. 5258 K(x,(y \ z) \ 1) = K(x,z \ y). [hyper(189,a,3871,a(flip),b,5231,a)]. 5259 K(x,(y \ z) \ 1) != u | K(x,z \ y) = u. [para(5231(a,2),3872(a,1))]. 5260 T(K(x,y / z),y) = K(x,z \ y). [hyper(189,a,4875,a,b,5258,a(flip)),flip(a)]. 5261 K(x,(y * z) \ y) = K(x,z \ 1). [para(16(a,1),5258(a,1,2,1)),flip(a)]. 5262 K(x,((y * z) \ y) \ 1) = K(x,z). [para(16(a,1),5258(a,2,2))]. 5264 K(x,(T(y,z) * (y \ u)) \ 1) = K(x,(T(y,z) * u) \ y). [para(975(a,1),5258(a,1,2,1))]. 5266 T(x \ y,K(z,y \ x)) = x \ y. [para(5258(a,1),1827(a,1,2))]. 5268 K(x,(K(y,z) * u) \ 1) = K(x,u \ K(z,y)). [para(3889(a,1),5258(a,1,2,1))]. 5269 x * K(y,z \ x) = z * ((y * (z \ x)) / y). [para(5258(a,1),4649(a,1,2))]. 5270 K(x,(y / z) \ 1) * z = z * K(x,y \ z). [para(5258(a,1),4853(a,2,2))]. 5271 K(x,y / z) * y = y * K(x,z \ y). [para(5258(a,1),4874(a,1,2)),flip(a)]. 5272 (((x \ y) \ 1) \ x) * ((x \ y) \ 1) = x * K(y,y \ x). [para(5258(a,1),4859(a,2,2))]. 5273 K(x,(y \ z) \ z) = T(K(x,y),z). [para(67(a,1),5260(a,1,1,2)),flip(a)]. 5276 K(x,y \ z) * (z \ y) = (z \ y) * K(x,y \ z). [para(5266(a,1),113(a,1,2))]. 5277 K(x,T(y,y \ z)) = T(K(x,y),z). [para(114(a,2),5273(a,1,2))]. 5278 T(K(x,y),z * y) = K(x,T(y,z)). [para(3555(a,2),5273(a,1,2)),flip(a)]. 5279 T(K(x,y),y * z) = K(x,T(y,z)). [para(16(a,1),5277(a,1,2,2)),flip(a)]. 5280 K(x * y,T(y,x)) != z | K(x * y,y) = z. [para(5278(a,1),2658(a,1))]. 5281 (x * y) * K(z,T(x,y)) = K(z,x) * (x * y). [para(5279(a,1),113(a,1,2))]. 5282 K(x,y) * K(y,T(x,z)) = K(x * z,K(x,y)). [para(5279(a,1),4463(a,1,2))]. 5284 (x * K(y,z)) \ (x * (z * K(y,z))) = z. [hyper(80,a,5252,a)]. 5285 (x * y) * K(z,y) = x * (y * K(z,y)). [hyper(189,a,5190,a(flip),b,5252,a(flip)),flip(a)]. 5286 (x * (y * K(z,y))) / (y * K(u,y)) = (x * K(z,y)) * K(y,u). [hyper(76,a,5252,a(flip),b,5206,a)]. 5289 K(((x * y) * z) \ (y * z),T(R(x,y,z),u)) = K(R(x,y,z) \ 1,R(x,y,z)). [para(110(a,1),5256(a,1,1,1))]. 5290 1 / (x \ K(y \ (z \ y),x)) = T(x,(z * y) \ y). [para(5257(a,1),4466(a,2,2,2)),flip(a)]. 5291 L(T(x,K(y,x)),K(y,x),z) = x. [hyper(645,a,5284,a)]. 5292 (x * K(y,z)) * z != u | x * (z * K(y,z)) = u. [para(5284(a,1),203(a,1,2)),flip(b)]. 5294 L(x,K(y,x),z) = x. [para(2753(a,1),5291(a,1,1))]. 5295 L(L(x,y,z),K(u,x),w) = L(x,y,z). [para(5294(a,1),48(a,1,1)),flip(a)]. 5296 (x * K(y,z)) * T(z,u) = x * (K(y,z) * T(z,u)). [para(5294(a,1),350(a,1,2,1))]. 5300 R(x,K(y,z),L(L(z,u,w),K(y,z),x)) = (x * (K(y,z) * L(z,u,w))) / (K(y,z) * L(z,u,w)). [para(5295(a,1),349(a,1,2,2)),flip(a)]. 5301 R(x,y,K(z,y)) = x. [hyper(376,a,5285,a)]. 5302 L(K(x,y),y,z) = K(x,y). [hyper(346,a,5285,a)]. 5303 (x * (y \ z)) * K(y,y \ z) = x * (z / y). [para(4295(a,1),5285(a,2,2))]. 5307 L(K(x,y),y,z) = K(x,((u * y) \ u) \ 1). [hyper(189,a,5262,a,b,5302,a)]. 5309 L(L(K(x,y),z,u),y,w) = L(K(x,y),z,u). [para(5302(a,1),48(a,1,1)),flip(a)]. 5312 ((x * y) / x) * K(y,z) != u | K(x,y) * T(y,z) = u. [para(4468(a,2),5189(a,1,1))]. 5313 K(x,x \ y) * K(z,y) != u | (x * (y / x)) / T(y,z) = u. [para(4298(a,1),5194(a,1,1))]. 5314 x * (K(y,x) * K(y * x,y)) = T(y * x,y) / y. [hyper(5196,a,4496,a),flip(a)]. 5318 K(x,1 / (y \ z)) != u | K(x,z \ y) = u. [para(3083(a,2),5259(a,1))]. 5319 K(x,(K(y,z) * u) \ 1) != w | K(x,u \ K(z,y)) = w. [para(3889(a,1),5259(a,1,2,1))]. 5322 L(K(x,T(y,z)),T(y,z),u) = K(x,((y * z) \ z) \ 1). [para(113(a,1),5307(a,2,2,1,1))]. 5323 K(x,((y * z) \ y) \ 1) != u | K(x,z) = u. [para(5307(a,1),3201(a,1)),flip(b)]. 5325 K(x,T(y / z,y)) != u | K(x,z \ y) = u. [para(4272(a,2),5318(a,1,2))]. 5326 K(x,(y \ 1) \ 1) != z | K(x,y) = z. [para(14(a,1),5323(a,1,2,1,1))]. 5327 L(K(x,y),y,z) != u | K(x,y) = u. [para(5307(a,2),5323(a,1))]. 5329 K(x,T(y \ 1,z)) != u | K(x,T(1 / y,z)) = u. [para(2096(a,1),5326(a,1,2))]. 5330 K(x,R(T(y,y \ 1),z,u)) != w | K(x,R(y,z,u)) = w. [para(3107(a,2),5326(a,1,2))]. 5332 K(x,T(y / z,y)) = K(x,z \ y). [hyper(5325,a,xx),flip(a)]. 5333 K(x,(y \ z) \ z) = K(x,T(y,z)). [para(67(a,1),5332(a,1,2,1)),flip(a)]. 5334 K(x,T(y,z)) = T(K(x,y),z). [hyper(189,a,5273,a(flip),b,5333,a(flip))]. 5335 K(x,T(y,y \ z)) = K(x,T(y,z)). [para(114(a,2),5333(a,1,2))]. 5336 K(x,T(y * K(z,u),y)) = K(x,K(z,u) * y). [para(3931(a,1),5333(a,1,2)),flip(a)]. 5337 K((x \ y) \ y,z) = K(x,T(z,y)). [hyper(189,a,5208,a,b,5334,a),flip(a)]. 5338 K(x,K(y,z)) * K(z,y) = K(z,T(y,x)). [hyper(189,a,4539,a,b,5334,a),flip(a)]. 5339 x \ (K(y,z) \ x) = K(z,T(y,x)). [hyper(189,a,3913,a,b,5334,a),flip(a)]. 5340 K(x / y,T(z,x)) = K(y \ x,z). [hyper(189,a,5210,a(flip),b,5334,a)]. 5341 K(x,T(y,T(x,z))) = K(x,y). [hyper(189,a,2662,a(flip),b,5334,a)]. 5342 K(x,T(y,K(z,x))) = K(x,y). [hyper(189,a,1957,a(flip),b,5334,a)]. 5343 K(x \ 1,T(y,x)) = K(x \ 1,y). [hyper(189,a,1153,a(flip),b,5334,a)]. 5344 T(K(x,y),z * y) = T(K(x,y),z). [hyper(189,a,5278,a,b,5334,a(flip)),flip(a)]. 5345 x * K(y,T(z,x)) = K(y,z) * x. [para(5334(a,2),113(a,1,2))]. 5346 x * K(y,T(z,x)) != u | K(y,z) * x = u. [para(5334(a,2),205(a,1,2))]. 5347 x / K(y,T(z,x)) = K(y,z) \ x. [para(5334(a,2),3866(a,1,2))]. 5348 (K(x,y) * z) * K(y,T(x,z)) = z. [para(5334(a,2),3949(a,1,2))]. 5349 x * T(K(x,y),z) = T(x,T(y,z)). [para(5334(a,1),4396(a,2,2)),flip(a)]. 5350 K(x,y) * K(y,T(x,z)) != u | K(z,K(x,y)) = u. [para(5334(a,2),4673(a,1,2))]. 5351 R(K(x,T(y,z)),u,w) \ 1 = T(R(K(x,y),u,w) \ 1,z). [para(5334(a,2),4983(a,1,1,1))]. 5352 T(x,y) * K(z,T(x,T(z,u))) = K(z,x) * T(x,y). [para(5341(a,2),2759(a,1,2))]. 5353 T(x,T(y,T(x,z))) = x * K(x,y). [para(5341(a,1),4396(a,2,2))]. 5354 T(x * K(y,x),T(y,z)) = T(x,T(y,z)) * K(y,x). [para(5341(a,1),4653(a,1,2)),flip(a)]. 5355 T(x,T(y,K(z,x))) = x * K(x,y). [para(5342(a,1),4396(a,2,2))]. 5356 K(x,T(y * z,y * (z * u))) = K(x,T(y * z,L(u,z,y))). [para(31(a,2),5335(a,1,2,2)),flip(a)]. 5357 K(x,T(y,z \ 1)) = K(x,T(y,z \ y)). [para(3749(a,1),5335(a,1,2))]. 5358 R(x,y,K(z,T(y,u))) = x. [para(5337(a,1),5301(a,1,3))]. 5359 (x * y) * K(z,T(y,u)) = x * (y * K(z,T(y,u))). [para(5358(a,1),110(a,1,1)),flip(a)]. 5360 K(x,y) * (z * K(y,T(x,z))) = z. [para(5339(a,1),63(a,1,2,2))]. 5365 (K(x,y) * z) * K(T(y,z),x) = z. [hyper(3929,a,5345,a)]. 5366 (x \ y) \ (T(x,z) \ y) = K(z,T(x,x \ y)). [hyper(75,a,4558,a(flip),b,5345,a)]. 5367 K(x,T(y \ 1,z)) = K(x,z \ (y \ z)). [hyper(20,a,4854,a,b,5345,a)]. 5368 K(x,x \ y) * K(z,y) = K(z,y) * K(x,x \ y). [para(4320(a,1),5345(a,1,2,2))]. 5369 x * K(T(y,x),z) = K(z,y) \ x. [hyper(3930,a,5347,a)]. 5370 x * K(T(y,x),z) = K(y,z) * x. [hyper(3929,a,5348,a)]. 5372 T(x,T(y,z)) != x * u | T(K(x,y),z) = u. [para(5349(a,1),22(a,1))]. 5373 T(x,T(y,T(x,z))) = T(x,y). [hyper(189,a,4396,a,b,5353,a)]. 5375 T(x / (x / y),T(z,y)) = T(x / (x / y),z). [para(164(a,1),5373(a,1,2,2))]. 5376 T(x * K(y,x),T(z,x)) = T(x * K(y,x),z). [para(4374(a,1),5373(a,1,2,2))]. 5377 x * T(y * K(x,y),T(x,z)) = T(x,y) * T(y,T(x,z)). [para(5373(a,1),4659(a,1,1)),flip(a)]. 5378 T(x,T(y,K(z,x))) = T(x,y). [hyper(189,a,4396,a,b,5355,a)]. 5379 K(T(x,y),z) = T(K(x,z),y). [hyper(3950,a,5365,a),flip(a)]. 5380 K(T(x,y),z) = K(x,T(z,y)). [hyper(20,a,5348,a,b,5365,a)]. 5381 K(T(x,x \ y),z) = K(T(x,y),z). [hyper(189,a,5222,a,b,5379,a),flip(a)]. 5382 K((x \ y) \ y,z) = K(T(x,y),z). [hyper(189,a,5208,a,b,5379,a),flip(a)]. 5383 K(T(x,y),y / z) = K(x,z \ y). [hyper(189,a,5260,a(flip),b,5379,a)]. 5384 K(T(x,y * x),z) = K(T(x,y),z). [hyper(189,a,5223,a(flip),b,5379,a)]. 5385 K(T(x,T(y,z)),y) = K(x,y). [hyper(189,a,2781,a(flip),b,5379,a)]. 5386 K(T(x,y \ 1),y) = K(x,y). [hyper(189,a,1841,a(flip),b,5379,a)]. 5387 T(K(x,y),z) * T(x,z) = T(T(x,z),y). [para(5379(a,1),4403(a,2,1)),flip(a)]. 5388 x * K(T(x,y),z) = T(x,T(z,y)). [para(5379(a,2),5349(a,1,2))]. 5389 K(T(x,x * y),y) = K(x,y). [hyper(189,a,3515,a(flip),b,5380,a)]. 5390 x * K(T(y,z),u) = x * K(y,T(u,z)). [hyper(24,a,5380,a)]. 5391 T(K(x,y),z * x) = K(x,T(y,z)). [hyper(189,a,5223,a,b,5380,a(flip)),flip(a)]. 5392 K(x,T(y,x \ z)) = T(K(x,y),z). [hyper(189,a,5222,a(flip),b,5380,a(flip))]. 5393 K(R(T(x,y),z,u),w) = K(R(x,z,u),T(w,y)). [para(45(a,2),5380(a,1,1))]. 5394 K(x / y,T(z,y)) = K(y \ x,z). [para(115(a,1),5380(a,1,1)),flip(a)]. 5395 K(T(x,y),z / y) = K(x,y \ z). [para(115(a,1),5380(a,2,2))]. 5396 K((x * y) / x,T(z,x)) = K(y,z). [para(142(a,1),5380(a,1,1)),flip(a)]. 5397 K(T(x,y),L(y,z,u)) = K(x,L(y,z,u)). [para(125(a,1),5380(a,2,2))]. 5398 K(x,T(y,T(T(x,z),u))) = K(x,y). [para(329(a,1),5380(a,1,1)),flip(a)]. 5399 K(x,T(y,R(T(x,z),u,w))) = K(x,y). [para(667(a,1),5380(a,1,1)),flip(a)]. 5400 K(x,T(y,z * (x / z))) = K(x,y). [para(3780(a,1),5380(a,1,1)),flip(a)]. 5401 x / K(y,T(z,u)) = x * K(z,T(y,u)). [para(5380(a,1),3890(a,1,2))]. 5402 K(x,T(y,z)) \ u != w | K(y,T(x,z)) * u = w. [para(5380(a,1),3909(a,1,1))]. 5403 (x * K(y,T(z,u))) \ x != w | K(z,T(y,u)) = w. [para(5380(a,1),3922(a,1,1,2))]. 5404 x * K(y,T(z,u)) != w | w * K(z,T(y,u)) = x. [para(5380(a,1),3929(a,1,2))]. 5405 x / K(y,T(z,u)) != w | x * K(z,T(y,u)) = w. [para(5380(a,1),3930(a,1,2))]. 5406 K(x,T(y,z)) * T(x,z) = T(T(x,z),y). [para(5380(a,1),4403(a,2,1)),flip(a)]. 5407 x * K(T(x,y),z) != u | T(x,T(z,y)) = u. [para(5380(a,2),4399(a,1,2))]. 5408 (T(x,T(y,z)) * y) / K(x,y) = y * T(x,T(y,z)). [para(5385(a,1),127(a,1,2))]. 5409 K(L(x,y,x),y) = K(x,y). [hyper(3941,a,5389,a)]. 5410 K(T(x * K(y,z),x),u) = K(K(y,z) * x,u). [para(3931(a,1),5382(a,1,1)),flip(a)]. 5411 K(x,L(L(x,y,z),u,w) / v5) = K(x,v5 \ L(L(x,y,z),u,w)). [para(750(a,1),5383(a,1,1))]. 5412 K(x,T(y,z * x)) = K(x,T(y,z)). [hyper(189,a,5334,a,b,5391,a(flip)),flip(a)]. 5413 (x * y) * K(y,T(z,x)) = K(y,z) * (x * y). [para(5391(a,1),113(a,1,2))]. 5414 K(x,T(y,x \ z)) = K(x,T(y,z)). [hyper(189,a,5334,a,b,5392,a)]. 5415 K((x * y) / x,T(z,x)) != u | K(y,z) = u. [para(5394(a,2),4566(a,1))]. 5416 K(L(x,y,z),u / x) = K(L(x,y,z),x \ u). [para(125(a,1),5395(a,1,1))]. 5417 K(x,y / (z * (x / z))) = K(x,(z * (x / z)) \ y). [para(3780(a,1),5395(a,1,1))]. 5418 T(x,T(y,T(T(x,z),u))) = K(x,y) * x. [para(5398(a,1),4403(a,2,1))]. 5419 K(x * y,T(z,y * x)) = K(x * y,z). [para(18(a,1),5400(a,1,2,2,2))]. 5420 K(x,T(y,z / x)) = K(x,T(y,z)). [para(19(a,1),5412(a,1,2,2)),flip(a)]. 5421 K(x,T(y,x * z)) = K(x,T(y,z)). [para(16(a,1),5414(a,1,2,2)),flip(a)]. 5422 K(x,T(y,z \ 1)) = K(x,T(y,z \ x)). [para(3785(a,1),5420(a,1,2))]. 5423 K(x * y,T(z,x \ 1)) = K(x * y,T(z,y)). [para(3786(a,1),5420(a,1,2))]. 5424 K(T(x,(y \ z) \ u),z \ (y * u)) = K(x,L((y \ z) \ u,y \ z,y)). [para(359(a,1),5397(a,1,2))]. 5425 K(x,y) * T(x,T(z,y)) = T(T(x,y),z). [hyper(4670,a,5406,a)]. 5426 T(x,T(y,T(T(x,z),u))) = T(x,y). [hyper(189,a,4403,a,b,5418,a)]. 5427 T(x * K(y,x),T(z,T(x,u))) = T(x * K(y,x),z). [para(4374(a,1),5426(a,1,2,2,1))]. 5429 K(x / y,T(z,y)) != u | K(y \ x,z) = u. [para(17(a,1),5415(a,1,1,1))]. 5430 K(x,T(y,z)) != u | K(T(x,z),y) = u. [para(143(a,1),5415(a,1,1))]. 5431 T(K(x,y),z) != u | K(T(x,z),y) = u. [para(5334(a,1),5430(a,1))]. 5434 K(T(x,x \ y),z) != u | K(T(x,y),z) = u. [para(5222(a,2),5431(a,1))]. 5438 K(T(x \ 1,x * y),z) != u | K(T(x \ 1,y),z) = u. [para(3612(a,1),5434(a,1,1))]. 5440 T(x,x \ 1) * K(y,x) = (x * (K(y,x) / x)) * x. [para(2943(a,1),5134(a,1,1)),flip(a)]. 5441 T(x,y) / (z \ x) = z * K(((z \ x) \ 1) \ z,y). [hyper(4189,a,5211,a)]. 5442 K((x \ 1) \ y,x) = K(x * y,x). [hyper(20,a,5198,a(flip),b,5211,a(flip))]. 5443 T(x * L(x \ (x * y),z,u),x) = x * L(y * K((x \ 1) \ y,x),z,u). [para(5211(a,1),1352(a,2,2,1))]. 5445 T(x * K((y \ 1) \ x,z),y) = y \ T(x * y,z). [para(5211(a,1),4161(a,1,1))]. 5446 L(K(x * y,x) * K(z * y,K(x * y,x)),y,z) = (z * (T(x * y,x) / T(x,y))) / (z * y). [para(5247(a,2),4490(a,2,1,2))]. 5447 (x / (y / z)) * K(z,z \ y) = x / (z \ y). [hyper(3929,a,5254,a)]. 5450 T(x / (y / z),K(z,z \ y)) != u | K(z \ y,z) * (x / (z \ y)) = u. [para(5254(a,1),4630(a,1,1))]. 5451 (x * ((y / z) / x)) * z = y * K(x,(x * z) \ y). [hyper(189,a,1786,a(flip),b,5269,a),flip(a)]. 5452 ((x \ y) * z) * K(x,T(x \ y,z)) = (y / x) * z. [hyper(189,a,4303,a(flip),b,5281,a)]. 5453 (x * (y / z)) * K(z \ y,z) = x * (z \ y). [hyper(3929,a,5303,a)]. 5456 (x \ y) \ (T(x,z) \ y) = K(z,T(x,y)). [hyper(189,a,5335,a(flip),b,5366,a)]. 5457 (x \ y) * K(z,T(x,y)) = T(x,z) \ y. [para(5456(a,1),17(a,1,2))]. 5458 T(T(T(x,y) / (T(x,y) / y),x),z) = L(T(y,z),y \ T(x,y),y). [para(5375(a,1),3644(a,1,1))]. 5459 T(x * K(y,x),T(T(z,x),u)) = T(x * K(y,x),T(z,u)). [para(41(a,1),5376(a,1,2))]. 5460 K(x,y) * (z * x) = z * T(x,T(y,z)). [hyper(5189,a,5413,a),flip(a)]. 5461 K(x,K(y,z)) * (T(y,u) * x) = T(y,u) * T(x,K(y,z)). [para(2662(a,1),5460(a,2,2,2))]. 5463 (x / (y / z)) * (z \ y) = x * K(z \ y,z). [hyper(252,a,5453,a),flip(a)]. 5466 K((x \ y) \ 1,z) != u | K(y \ x,z) = u. [para(4523(a,1),5217(a,1))]. 5467 K((x / y) \ 1,y) != z | K(x \ y,y) = z. [para(4761(a,1),5217(a,1))]. 5469 K((K(x,y) * z) \ 1,u) != w | K(z \ K(y,x),u) = w. [para(3889(a,1),5466(a,1,1,1))]. 5470 K(x / y,x) != z | K(y \ x,x) = z. [para(4760(a,1),5467(a,1))]. 5471 T(x,(y \ z) \ 1) = T(x,z \ y). [hyper(5233,a,4371,a(flip))]. 5472 T(x,(y * z) \ y) = T(x,z \ 1). [para(16(a,1),5471(a,1,2,1)),flip(a)]. 5474 T(x,(y * (z * u)) \ (y * z)) = T(x,L(u,z,y) \ 1). [para(31(a,2),5471(a,1,2,1)),flip(a)]. 5475 (1 / (x \ y)) * T(z,y \ x) = z * (1 \ (1 / (x \ y))). [para(5471(a,1),2690(a,1,2))]. 5476 K(x,T(y,(z \ u) \ y)) = K(x,T(y,u \ z)). [para(5471(a,1),5357(a,1,2)),flip(a)]. 5477 K(x,T(y,(z \ u) \ x)) = K(x,T(y,u \ z)). [para(5471(a,1),5422(a,1,2)),flip(a)]. 5479 R(x,T(y,z),T(z,y)) = R(x,y,z). [hyper(385,a,5241,a),flip(a)]. 5480 R(x,T(y,z),T(z,y)) != u | R(x,y,z) = u. [para(5241(a,1),385(a,1))]. 5482 R(T(x,y),T(z,u),T(u,z)) = T(R(x,z,u),y). [hyper(189,a,45,a(flip),b,5479,a)]. 5484 T(R(x,y,z),u) != w | R(T(x,u),y,z) = w. [para(5482(a,1),5480(a,1))]. 5486 K(x * y,K(x,z)) = K(y,K(x,z)). [hyper(5350,a,5282,a),flip(a)]. 5487 K(x * y,K(y,z)) = K(x,K(y,z)). [hyper(189,a,4878,a,b,5486,a(flip)),flip(a)]. 5488 K(T(x,y),z) != u | K(x,T(z,y)) = u. [para(3877(a,1),5403(a,1))]. 5490 T(K(x,y),z) != u | K(x,T(y,z)) = u. [para(5379(a,1),5488(a,1))]. 5491 K(x,(y \ z) \ z) != u | K(x,T(y,z)) = u. [para(5273(a,2),5490(a,1))]. 5492 K(x,T(y,y \ z)) != u | K(x,T(y,z)) = u. [para(5277(a,2),5490(a,1))]. 5493 T(K(x,y),z * y) != u | K(x,T(y,z)) = u. [para(5344(a,2),5490(a,1))]. 5494 K(x,T(y,x \ z)) != u | K(x,T(y,z)) = u. [para(5392(a,2),5490(a,1))]. 5495 (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) != u | K(z,T(x,y)) = u. [para(527(a,2),5491(a,1))]. 5496 K(x,(L(y,z,u) * (y \ w)) \ (L(y,z,u) * w)) != v5 | K(x,T(y,L(y,z,u) * w)) = v5. [para(961(a,1),5491(a,1,2,1))]. 5497 K(x,T(y,z \ 1)) != u | K(x,T(y,z \ y)) = u. [para(3749(a,1),5492(a,1,2))]. 5498 K(x,T(y,z * y)) != u | K(x,T(y,z)) = u. [para(5334(a,2),5493(a,1))]. 5499 K(x,T(y,y * z)) != u | K(x,T(y,z)) = u. [para(3507(a,1),5498(a,1,2))]. 5500 x * K(T(y,z),u) != w | x * K(y,T(u,z)) = w. [para(3890(a,1),5405(a,1))]. 5501 x * T(K(y,z),u) != w | x * K(y,T(z,u)) = w. [para(5379(a,1),5500(a,1,2))]. 5502 L(K((x \ 1) \ (x \ y),z),x \ y,(x \ y) \ 1) / (x \ T(y,z)) = 1 / (x \ y). [para(5212(a,1),2375(a,1,2))]. 5505 T(L(x \ 1,x,y) \ 1,z) = ((y * x) \ y) \ K(x,z). [para(140(a,2),5237(a,1,1,1))]. 5508 K(((x * y) \ x) \ 1,z) * ((((x * y) \ x) \ K(y,z)) \ u) = (((x * y) \ x) \ 1) \ u. [para(5237(a,1),4541(a,1,2,1))]. 5509 K(x,((T(y,x) / z) \ 1) \ ((T(y,x) / z) \ y)) = z \ ((T(y,x) / z) \ y). [para(69(a,1),5244(a,2,1))]. 5510 T(x \ y,z) * ((y \ x) * K(z,x \ y)) = (x \ y) * (y \ x). [para(5276(a,1),4412(a,1,2))]. 5511 T(x,(y * z) \ z) != u | T(x,z \ (y \ z)) = u. [para(5290(a,1),4467(a,1))]. 5512 T(x,T(y \ 1,z)) != u | T(x,z \ (y \ z)) = u. [para(4244(a,2),5511(a,1,2))]. 5513 R(x,K(y,z),T(z,u)) = x. [hyper(376,a,5296,a)]. 5514 x / (K(y,z) * T(z,u)) = (x / T(z,u)) * K(z,y). [hyper(189,a,3924,a(flip),b,5513,a(flip)),flip(a)]. 5515 L(K(x,T(y,z)),y,u) = K(x,T(y,z)). [hyper(346,a,5359,a)]. 5516 R(x,x \ K(y,x),x) = T(x,x \ 1). [hyper(21,a,3768,a,b,5440,a),flip(a)]. 5517 R(x,T(x,y) \ 1,x) = T(x,x \ 1). [para(4364(a,2),5516(a,1,2))]. 5518 R(T(x,y),T(x,z) \ 1,x) = T(T(x,x \ 1),y). [para(5517(a,1),45(a,2,1))]. 5519 T(T(x,x \ 1),y) \ x = (T(x,y) \ 1) * x. [para(5518(a,1),313(a,1,1))]. 5520 T((x \ 1) \ 1,y) \ x = (T(x,y) \ 1) * x. [para(114(a,1),5519(a,1,1,1))]. 5521 (K(x,x \ (y / z)) * (y / z)) * z = y * K(x,(x * z) \ y). [para(4314(a,2),5451(a,1,1))]. 5522 x / (T(y,z) * K(u,y)) = (x / T(y,z)) * K(y,u). [para(2759(a,2),5514(a,1,2))]. 5523 T(x * y,K(y,z)) = y * T(x,T(y,z)). [hyper(5168,a,4569,a)]. 5526 L(K(x \ y,z),y,u) = K((u * x) \ (u * y),z). [hyper(189,a,5235,a(flip),b,5228,a(flip)),flip(a)]. 5527 L(K((x \ y) \ z,u),z,x) = K(y \ (x * z),u). [para(17(a,1),5526(a,2,1,1))]. 5528 L(K(x \ (y \ z),u),y \ z,y) = K((y * x) \ z,u). [para(17(a,1),5526(a,2,1,2))]. 5529 K((x * (y / z)) \ (x * y),u) = L(K(z,u),y,x). [para(69(a,1),5526(a,1,1,1)),flip(a)]. 5530 L(K(x \ T(y,z),u),T(y,z),z) = K((z * x) \ (y * z),u). [para(113(a,1),5526(a,2,1,2))]. 5531 L(K(x \ y,z),y,u) = K(L(x \ y,x,u),z). [para(104(a,2),5526(a,2,1))]. 5532 L(K(x * y,x),y,z) = K((z * (x \ 1)) \ (z * y),x). [para(5442(a,1),5526(a,1,1))]. 5533 K(L(x \ y,x,z),y) = K(x \ y,y). [hyper(5327,a,5531,a),flip(a)]. 5534 K(L(x \ y,x,K(y,z)),u) = K(x \ y,u). [hyper(3714,a,5531,a)]. 5535 K((x \ y) \ z,z) = K(y \ (x * z),z). [para(359(a,1),5533(a,1,1)),flip(a)]. 5536 K(L(x \ y,T(x,z),z),y) = K(x \ y,y). [para(4933(a,1),5533(a,1,1))]. 5537 K(x \ y,K(y,z) * x) * (K(y,z) * (x * (x \ y))) = L(x \ y,x,K(y,z)) * (K(y,z) * x). [para(5534(a,1),4472(a,1,1))]. 5538 K((x \ y) \ z,T(z,u)) = K(y \ (x * z),T(z,u)). [hyper(189,a,5515,a(flip),b,5527,a(flip)),flip(a)]. 5539 (x * y) * K(z \ (x * y),u) = x * (y * K((x \ z) \ y,u)). [para(5527(a,1),102(a,1,2))]. 5540 K(L(x,y / x,z),u) = L(K(x,u),y,z). [para(105(a,2),5529(a,1,1))]. 5541 L(K(x,y),z * x,u) = K(L(x,z,u),y). [para(18(a,1),5540(a,1,1,2)),flip(a)]. 5542 K(L(x,y / T(x,y),z),u) = L(K(x,u),T(y,x),z). [para(3523(a,1),5540(a,1,1,2))]. 5543 L(K(x,y),z,u) \ 1 != w | K(y,L(x,z / x,u)) = w. [para(5540(a,1),3872(a,1,1))]. 5544 K(L(x,y,z),y * x) = K(x,y * x). [hyper(5327,a,5541,a),flip(a)]. 5545 L(K(x,y),z * K(u,x),w) = K(L(x,z / T(x,u),w),y). [para(5176(a,1),5541(a,1,2))]. 5546 K(L(x,y,z),y * x) = K(x,x * y). [hyper(189,a,4576,a(flip),b,5544,a)]. 5547 K(L(x,y,z),y * x) != u | K(x,x * y) = u. [para(5544(a,2),4577(a,1))]. 5548 K(x,(T(y,z) * (y \ u)) \ 1) != w | K(x,u \ K(z,y)) = w. [para(4377(a,2),5319(a,1,2,1))]. 5549 R(T(K(x,y),y * z),y,z) = K(x,((y * z) \ z) \ 1). [hyper(189,a,4996,a,b,5322,a(flip)),flip(a)]. 5551 T(L(x \ 1,x,y) \ 1,x * L(x \ 1,z,u)) = ((y * x) \ y) \ 1. [para(1342(a,1),5505(a,2,2))]. 5552 K((x * y) \ 1,x) = K(y \ (x \ 1),x). [hyper(189,a,3142,a(flip),b,5528,a(flip))]. 5553 K(x / ((y * z) * x),y) = K(z \ (y \ 1),y). [hyper(189,a,4765,a,b,5552,a(flip)),flip(a)]. 5554 ((x \ (1 / y)) * x) * y = K(y \ (x \ 1),x). [hyper(189,a,4527,a,b,5552,a(flip)),flip(a)]. 5556 K(K(x,x \ 1) * y,z) = K(y,z). [hyper(20,a,4396,a(flip),b,5162,a),flip(a)]. 5560 K(x * K(y \ 1,y),z) = K(x,z). [para(2480(a,1),5556(a,1,1)),flip(a)]. 5561 K(x * ((y \ 1) \ 1),z) = K(x * y,z). [para(2501(a,1),5556(a,1,1))]. 5563 K(x \ T(y,y \ 1),z) = K(x \ y,z). [para(3454(a,1),5556(a,1,1))]. 5564 K(x \ (1 / y),z) = K(x \ (y \ 1),z). [para(4107(a,1),5556(a,1,1))]. 5565 K(x * (((x \ y) \ 1) \ 1),z) = K(y,z). [para(1998(a,1),5560(a,1,1))]. 5566 K((K(x,x \ 1) * y) \ z,u) = K(y \ z,u). [para(4120(a,2),5560(a,1,1))]. 5567 K(x \ (y * ((z \ 1) \ 1)),u) = K(x \ (y * z),u). [para(4105(a,1),5560(a,1,1)),flip(a)]. 5568 K(x * R(1 / y,z,u),w) = K(x * R(y \ 1,z,u),w). [para(3104(a,1),5561(a,1,1,2)),flip(a)]. 5569 K((T(x,x \ 1) \ y) \ 1,z) = K(y \ x,z). [hyper(189,a,5209,a,b,5563,a(flip)),flip(a)]. 5570 T(x,y) / ((1 / z) \ x) = (1 / z) * K((((1 / z) \ x) \ 1) \ (z \ 1),y). [para(5564(a,1),5441(a,2,2))]. 5571 K((x * ((y \ 1) \ 1)) \ z,u) = K((x * y) \ z,u). [para(2501(a,1),5566(a,1,1,1))]. 5572 K((x * (K(y,y \ 1) * z)) \ u,w) = K((x * z) \ u,w). [para(4117(a,1),5566(a,1,1,1))]. 5573 K((((1 / x) \ y) \ z) \ u,w) = K((((x \ 1) \ y) \ z) \ u,w). [para(4133(a,1),5566(a,1,1,1))]. 5574 K(x \ ((y \ 1) * y),z) = K(x \ 1,z). [para(17(a,1),5567(a,1,1,2)),flip(a)]. 5575 L(K(x \ y,z),y,y \ 1) = K(((y \ 1) * x) \ 1,z). [hyper(189,a,5526,a,b,5574,a(flip)),flip(a)]. 5576 (1 / x) * K(y \ (x \ 1),z) = K((y * x) \ 1,z) / x. [para(5564(a,1),5236(a,1,2))]. 5577 (((x \ y) \ 1) \ x) * ((x \ y) \ 1) = y * (x / y). [hyper(189,a,3903,a(flip),b,5272,a)]. 5578 T(x,x \ y) / (y \ x) = x * (y / x). [hyper(189,a,4954,a,b,5577,a(flip)),flip(a)]. 5579 (x * (y / x)) * (y \ x) = T(x,x \ y). [para(5578(a,1),19(a,1,1))]. 5580 T((x * K(y,x)) * K(y,x * K(y,x)),T(y,z)) = (T(y,x) * T(x,T(y,z))) / y. [hyper(76,a,5377,a(flip),b,4423,a),flip(a)]. 5581 T(x,y) * T(y * K(x,y),T(T(x,y),z)) = T(T(x,y),y) * T(y,T(T(x,y),z)). [para(3876(a,1),5377(a,1,2,1,2))]. 5582 T(x,T(y,T(x,z))) * T(y,T(x,u)) = x * T(y * K(x,y),T(x,u)). [para(5373(a,2),5377(a,2,1)),flip(a)]. 5583 (1 / ((x * y) \ x)) * T(z,y) = z * (1 \ (1 / ((x * y) \ x))). [para(16(a,1),5475(a,1,2,2))]. 5584 K((x * ((T(y,x) \ 1) * y)) \ z,u) = K(T(x,y) \ z,u). [para(4790(a,1),5572(a,1,1,1)),flip(a)]. 5585 K((x * y) \ 1,y) = K(x \ (y \ 1),y). [hyper(20,a,3143,a,b,5576,a),flip(a)]. 5586 L(K(x \ (y \ 1),y),z,u) = K(L(x * y,z,u) \ 1,y). [para(5585(a,1),4824(a,1,1))]. 5588 L(x \ 1,x,y * K(x,z)) != u | L(x \ 1,T(x,z),y) = u. [para(5143(a,2),4503(a,1))]. 5590 (x * (y / x)) / T(y,z) = K(z,y) * K(x,x \ y). [hyper(5313,a,5368,a)]. 5591 K(x,T(x * y,L(z,y,x))) = K(x,T(x * y,y * z)). [hyper(189,a,5421,a(flip),b,5356,a(flip))]. 5592 K(x,(T(y,z) * u) \ y) = K(x,u \ K(z,y)). [hyper(5548,a,5264,a),flip(a)]. 5593 K(x,(T(y,z) \ u) \ K(z,y)) = K(x,u \ y). [para(17(a,1),5592(a,1,2,1)),flip(a)]. 5594 x \ T(x * K(y \ 1,y),y) = T((T(y,x) \ 1) * y,x). [para(4635(a,1),5200(a,2,1))]. 5595 x \ T(x * K(y \ 1,y),y) = (T(y,x) \ 1) * y. [hyper(189,a,4990,a(flip),b,5594,a)]. 5596 (((x / y) * T(y,z)) * u) \ (x * u) = K(z,((x / y) * u) \ (x * u)). [para(69(a,1),5245(a,1,1,1,2,1))]. 5597 (K(x,x \ (y / z)) * (y / z)) * z = K(x,((x * z) / y) \ 1) * y. [hyper(189,a,5270,a,b,5521,a)]. 5598 (x * y) * z != x * (y * K((x \ u) \ y,w)) | K(u \ (x * y),w) = z. [para(5539(a,1),22(a,1)),flip(a)]. 5599 (1 / ((x * y) \ x)) * T(z,y) = z * (1 / ((x * y) \ x)). [para(58(a,1),5583(a,2,2))]. 5600 T(1 / ((x * y) \ x),y) = 1 / ((x * y) \ x). [hyper(260,a,5599,a),flip(a)]. 5601 T(T(1 / ((x * y) \ x),z),y) = T(1 / ((x * y) \ x),z). [hyper(20,a,173,a(flip),b,5599,a)]. 5602 T(T(x * K(x \ y,x),y),z) = L(T(x,z),x \ T(y,x),x). [para(4337(a,1),5458(a,1,1,1))]. 5603 L(T(x,y),x \ T(z,x),x) = T(L(x,x \ z,x),y). [para(4336(a,1),5602(a,1,1)),flip(a)]. 5604 L(T(x,y),x \ T(z,x),x) = L(T(x,y),x \ z,x). [hyper(189,a,43,a,b,5603,a)]. 5605 L(R(T(x,y),z,u),x \ T(w,x),x) = R(L(T(x,y),x \ w,x),z,u). [para(5604(a,1),47(a,1,1)),flip(a)]. 5606 K(x,((y / z) * u) \ (y * u)) = ((y * K(z,x)) * u) \ (y * u). [para(5140(a,1),5596(a,1,1,1)),flip(a)]. 5607 ((x * K(y,z)) * u) * K(z,((x / y) * u) \ (x * u)) = x * u. [para(5606(a,2),17(a,1,2))]. 5608 K(((x / y) * z) \ (x * z),u) = (x * z) \ ((x * K(y,u)) * z). [para(5607(a,1),3918(a,1,1)),flip(a)]. 5609 (x * y) \ ((x * K(z,u)) * y) != w | K(((x / z) * y) \ (x * y),u) = w. [para(5607(a,1),3922(a,1,1))]. 5610 R(K(x,x \ (y / z)),y / z,z) = K(x,((x * z) / y) \ 1). [hyper(590,a,5597,a)]. 5611 L(R(T(x,y),z,u),x \ T(w,x),x) = L(R(T(x,y),z,u),x \ w,x). [hyper(189,a,47,a(flip),b,5605,a)]. 5612 R(T(K(x \ y,y),y * z),y,z) = K(((y * z) \ (x * z)) \ 1,y). [hyper(189,a,4752,a(flip),b,5219,a)]. 5613 K(((x * y) \ (z * y)) \ 1,x) = K(z \ x,((x * y) \ y) \ 1). [hyper(189,a,5549,a(flip),b,5612,a(flip))]. 5614 K(x \ y,((y * z) \ z) \ 1) = K((x * z) \ (y * z),y). [hyper(5466,a,5613,a),flip(a)]. 5615 K((x * y) \ (z * y),z) = K(x \ z,y \ (z * y)). [hyper(5259,a,5614,a),flip(a)]. 5616 K((x * y) \ (z * y),z) = K(x \ z,T(z,y)). [para(35(a,2),5615(a,2,2))]. 5617 K((x / y) \ z,T(z,y)) = K(x \ (z * y),z). [para(19(a,1),5616(a,1,1,1)),flip(a)]. 5618 K(T(x,(y \ z) \ u),z \ (y * u)) = K(x,z \ (y * u)). [para(359(a,1),5424(a,2,2))]. 5619 L(x * K(y \ z,z \ y),u,w) = L(x,u,w) * K(y \ z,z \ y). [para(1992(a,1),5082(a,1,1,2))]. 5620 K(x \ y,L(y \ x,z,u)) = K(x \ y,y \ x). [hyper(4740,a,5619,a)]. 5621 K(x \ L(x,y,z),L(x,y,z) \ x) = K(x \ L(x,y,z),a(z,y,x)). [para(1704(a,2),5620(a,1,2)),flip(a)]. 5622 x / L((x \ 1) \ 1,y,z) = (L(x,y,z) \ 1) * x. [hyper(5100,a,5099,a),flip(a)]. 5623 ((L(x,y,z) \ 1) * x) \ x = L((x \ 1) \ 1,y,z). [para(5622(a,1),69(a,1,1))]. 5624 (x * y) * K(((x * y) \ (z * y)) \ 1,u) = (x * K((x \ z) \ 1,u)) * y. [para(4756(a,1),5109(a,2,1))]. 5625 x * L(y * K((x \ 1) \ y,x),z,u) = T(x * L(y,z,u),x). [para(16(a,1),5443(a,1,1,2,1)),flip(a)]. 5626 x * L(y * K(x * y,x),z,u) = T(x * L(y,z,u),x). [para(5442(a,1),5625(a,1,2,1,2))]. 5627 x * L(y * K(y * x,x),z,u) = T(x * L(y,z,u),x). [para(4617(a,2),5626(a,1,2,1,2))]. 5628 L(x,y,z) * K(u * L(x,y,z),u) = L(x * K(x * u,u),y,z). [hyper(20,a,5248,a,b,5627,a),flip(a)]. 5629 (x * (y * z)) \ ((x * y) * L(z * K(z * u,u),y,x)) = L(K(u * L(z,y,x),u),L(z,y,x),x * y). [para(5628(a,1),347(a,1,2,2))]. 5630 T(x,y) / ((1 / z) \ x) = (1 / z) * K((((z \ 1) \ x) \ 1) \ (z \ 1),y). [para(5573(a,1),5570(a,2,2))]. 5631 x * K((x \ (x \ (y * x))) \ 1,z) = T(x * K((x \ y) \ 1,z),x). [hyper(147,a,5624,a(flip),b,4942,a(flip)),flip(a)]. 5633 T(x * K((x \ y) \ 1,z),x) = x * K((x \ T(y,x)) \ 1,z). [para(35(a,2),5631(a,1,2,1,1,2)),flip(a)]. 5634 T(x * K((x \ y) \ 1,z),x) = T(y,x) * T(T(y,x) \ x,z). [hyper(189,a,4524,a,b,5633,a)]. 5635 T(x,y) * T(T(x,y) \ y,z) = T(y * K(x \ y,z),y). [para(5209(a,1),5634(a,1,1,2)),flip(a)]. 5636 x \ T(x * K(y \ x,z),x) = K(T(y,x) \ x,z). [hyper(75,a,5635,a(flip),b,5160,a(flip))]. 5637 K(T(x / y,x) \ x,z) = x \ T(x * K(y,z),x). [para(69(a,1),5636(a,1,2,1,2,1)),flip(a)]. 5638 T(x,y) / ((1 / z) \ x) = K(((((z \ 1) \ x) \ 1) * z) \ 1,y) / z. [hyper(189,a,5576,a(flip),b,5630,a)]. 5639 R((x \ (1 / y)) * x,y,z) * (y * z) = (y * z) * ((x \ ((y * z) \ z)) * x). [para(3270(a,2),4193(a,1,1))]. 5640 (x * y) * (z * (L(y \ 1,y,x) / z)) = (x * y) * (z * (((x * y) \ x) / z)). [hyper(189,a,4185,a(flip),b,4195,a(flip))]. 5641 (x * T(K(y,z),u)) * T(K(z,y),u) = R(x,T(K(y,z),u),T(K(z,y),u)). [para(4266(a,1),4276(a,1,3)),flip(a)]. 5642 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(5641(a,1),23(a,1))]. 5643 T(x * K(y,x),y * R(x,z,u)) = L(x,y,R(x * K(y,x),z,u)). [para(4426(a,1),4428(a,1,2))]. 5644 T(x * K(y,x),y * R(x,y,x)) = L(x,y,x * K(y * x,x)). [para(4812(a,1),5643(a,2,3))]. 5645 T(x * K(y,x),T(x * y,x)) = L(x,y,x * K(y * x,x)). [para(3668(a,1),5644(a,1,2))]. 5646 L(x,y,x * K(y * x,x)) = T(x * K(y,x),x * y). [hyper(189,a,5376,a(flip),b,5645,a(flip))]. 5647 K(R(x,y,z),T(T(x,u) * u,w)) = K(R(x,y,z),T(x * u,w)). [hyper(189,a,4448,a(flip),b,4862,a)]. 5648 T((x \ L(y,y \ z,y)) * x,T(z,y) / y) = (x \ T(y,z)) * x. [para(3553(a,1),4899(a,2,1,2))]. 5649 T((x \ L(y,y \ z,y)) * x,T(z,y) / y) != u | T((x \ y) * x,z) = u. [para(5648(a,2),4155(a,1))]. 5650 T(T(x * K(y * L(x,z,u),x),w),y) = R(T(x,w),y,L(x,z,u)). [para(16(a,1),5047(a,2,1,1))]. 5651 T(T(x * K(y * R(x,z,u),x),w),y) = R(T(x,w),y,R(x,z,u)). [para(16(a,1),5052(a,2,1,1))]. 5652 K(((x * y) * z) \ (y * z),R(T(x,u),y,z)) = K(R(x,y,z) \ 1,R(x,y,z)). [para(45(a,2),5289(a,1,2))]. 5653 (x * y) * ((z \ ((x * y) \ y)) * z) = (((z \ (1 / x)) * z) * x) * y. [hyper(204,a,5639,a),flip(a)]. 5654 (x * y) * ((z \ ((x * y) \ y)) * z) = K(x \ (z \ 1),z) * y. [para(5554(a,1),5653(a,2,1))]. 5655 K(x,y / (x / ((z * y) \ 1))) = y / (K(z \ (x \ 1),x) * y). [para(5654(a,1),5043(a,1,2)),flip(a)]. 5656 K(x,y / (x / ((z * y) \ 1))) != u | K(x,z \ (x \ 1)) = u. [para(5655(a,2),3910(a,1))]. 5657 K(x,(y * x) \ 1) = K(x,y \ (x \ 1)). [hyper(5656,a,4598,a),flip(a)]. 5658 (x * y) * L(z * ((y \ 1) / z),y,x) = (x * y) * (z * (((x * y) \ x) / z)). [para(5117(a,2),5640(a,1,2))]. 5659 K(((x * y) * z) \ (y * z),R(T(x,u),y,z)) = K(x \ 1,x). [hyper(189,a,3174,a(flip),b,5652,a)]. 5661 K(x \ 1,x) * ((y * z) / ((x * y) * z)) = (((y * z) / ((x * y) * z)) \ 1) \ 1. [para(5659(a,1),3024(a,1,1))]. 5662 (x * y) * (z * (((x * y) \ x) / z)) = x * (y * (z * ((y \ 1) / z))). [hyper(207,a,5658,a),flip(a)]. 5663 ((x * (y / x)) \ T(y,z)) * (x * (y / x)) = T(y,z). [para(3946(a,1),4343(a,1,1,2,1))]. 5664 T(x,y) / (z * (x / z)) = (z * (x / z)) \ T(x,y). [hyper(88,a,5663,a)]. 5665 T(x,y) / (T(x,y) / (z * (x / z))) = z * (x / z). [para(5664(a,2),67(a,1,2))]. 5666 K(x,R(y,z,u) \ 1) * (z * u) = (K(x,y \ 1) * z) * u. [para(4643(a,1),4917(a,1,1))]. 5667 R(K(x,y \ 1),z,u) = K(x,R(y,z,u) \ 1). [hyper(21,a,110,a,b,5666,a),flip(a)]. 5668 K(x,R(y \ 1,z,u) \ 1) = R(K(x,y),z,u). [para(3081(a,1),5667(a,1,1)),flip(a)]. 5670 K(x,R(y / z,u,w) \ 1) = R(K(x,z / y),u,w). [para(4773(a,1),5667(a,1,1)),flip(a)]. 5671 R(K(x,y \ (x \ 1)),z,u) = K(x,R(y * x,z,u) \ 1). [para(5657(a,1),5667(a,1,1))]. 5672 R(K(x,y),z,u) \ w = R(K(y,x),z,u) * w. [para(5668(a,1),4822(a,1,1)),flip(a)]. 5673 (x * y) / ((K(z,u) * x) * y) = R(K(u,z),x,y). [hyper(460,a,5672,a)]. 5674 (x * y) / (((z \ x) * z) * y) = R(K(z,z \ x),x,y). [para(4291(a,1),5673(a,1,2,1))]. 5675 (x * y) / ((z * (x / z)) * y) = R(K(z \ x,z),x,y). [para(4314(a,1),5673(a,1,2,1))]. 5676 ((x * y) * z) / ((x * T(y,T(u,x))) * z) = R(K(u,y),x * y,z). [para(5460(a,1),5673(a,1,2,1))]. 5677 R(K(x,y / z),y,u) = K(x,(y * u) / (z * u)). [hyper(4782,a,5670,a),flip(a)]. 5678 R(K(x,(y / z) / u),y / z,z) = K(x,y / (u * z)). [para(19(a,1),5677(a,2,2,1))]. 5679 R(K(x,y / (z / u)),y,u) = K(x,(y * u) / z). [para(19(a,1),5677(a,2,2,2))]. 5680 K(x,(y * z) / ((u \ y) * z)) = R(K(x,u),y,z). [para(67(a,1),5677(a,1,1,2)),flip(a)]. 5681 R(K(x,(y / z) \ x),x,z) = K(x,(x * z) / y). [para(4596(a,1),5679(a,1,1))]. 5682 K(x,R(y,y \ z,u)) = R(K(x,y),z,u). [para(108(a,2),5680(a,1,2))]. 5683 R(K(x,y),y * z,u) = K(x,R(y,z,u)). [para(16(a,1),5682(a,1,2,2)),flip(a)]. 5684 R(K(x,R(y,z,u)),(y * z) * u,w) = K(x,R(R(y,z,u),z * u,w)). [para(133(a,1),5682(a,1,2,2)),flip(a)]. 5685 K(R(x,y * z,u) \ 1,y) = K(x \ 1,R(y,z,u)). [hyper(4937,a,5683,a)]. 5686 R(T(K(x,y),z),y * u,w) = T(K(x,R(y,u,w)),z). [para(5683(a,1),45(a,2,1))]. 5687 K(x,(x * y) / z) != u | K(x,(z / y) \ x) = u. [para(5681(a,1),3747(a,1))]. 5688 R(T(K(x,y),z),y * u,w) = K(x,T(R(y,u,w),z)). [hyper(189,a,5334,a,b,5686,a)]. 5689 R(T(K(x,y),z),y * u,w) = K(x,R(T(y,z),u,w)). [para(45(a,2),5688(a,2,2))]. 5690 R(K(x,T(y,z)),y * u,w) = K(x,R(T(y,z),u,w)). [para(5334(a,2),5689(a,1,1))]. 5691 K(x,R(T(y,z),y \ u,w)) = R(K(x,T(y,z)),u,w). [para(17(a,1),5690(a,1,2)),flip(a)]. 5692 R(K(x,y),(y * K(z,y)) * u,w) = K(x,R(T(y * K(z,y),z),u,w)). [para(4374(a,1),5690(a,1,1,2))]. 5693 R(K(x,x \ (y / z)),y / z,z) = y / (((x \ (y / z)) * x) * z). [hyper(189,a,185,a(flip),b,5674,a(flip))]. 5694 x / (((y \ (x / z)) * y) * z) = K(y,((y * z) / x) \ 1). [hyper(189,a,5610,a(flip),b,5693,a(flip))]. 5695 x / (y * ((z \ (y \ x)) * z)) = K(z,((z * y) / x) \ 1). [para(4183(a,1),5694(a,1,2))]. 5696 x / (y * ((z \ (y \ x)) * z)) = K(z,x / (z * y)). [hyper(189,a,4773,a(flip),b,5695,a)]. 5697 K(x,y / (x / (z \ 1))) = K(x,y / (x * z)). [hyper(189,a,5043,a(flip),b,5696,a(flip)),flip(a)]. 5698 x / (((y \ z) * y) * (z \ x)) = K(y,x / (y * (z \ x))). [para(4191(a,1),5696(a,1,2))]. 5699 K(x,y / (x * (z * y))) = K(x,z \ (x \ 1)). [hyper(5656,a,5697,a),flip(a)]. 5700 K(x,y / (x * (z * y))) != u | K(x,z \ (x \ 1)) = u. [para(5697(a,1),5656(a,1))]. 5701 K(x,(y * z) / (x * ((u * y) * z))) != w | K(x,R(u,y,z) \ (x \ 1)) = w. [para(110(a,1),5700(a,1,2,2,2))]. 5702 (x * y) / (((z \ R(R(1 / u,u,x),u * x,y)) * z) * ((u * x) * y)) = K(z,(x * y) / (z * (R(R(1 / u,u,x),u * x,y) \ (x * y)))). [para(452(a,1),5698(a,1,2,2))]. 5703 R(K(x,y),y * (K(z,y) * u),w) = K(x,R(T(y * K(z,y),z),u,w)). [para(3828(a,1),5692(a,1,2))]. 5704 K(x,R(T(y * K(z,y),z),u,w)) = K(x,R(y,K(z,y) * u,w)). [hyper(189,a,5683,a(flip),b,5703,a(flip))]. 5705 K(x,R(y,K(z,y) * u,w)) = K(x,R(y,u,w)). [para(4374(a,1),5704(a,1,2,1)),flip(a)]. 5706 K(x,R(y,K(y,z) * u,w)) = K(x,R(y,u,w)). [para(3887(a,1),5705(a,1,2,2)),flip(a)]. 5707 K(R(x,K(x,y) * z,u),w) = (v5 * K(w,R(x,z,u))) \ v5. [para(5706(a,1),3918(a,1,1,2)),flip(a)]. 5708 K(R(x,K(x,y) * z,u),w) != v5 | K(R(x,z,u),w) = v5. [para(5707(a,2),3922(a,1))]. 5709 T(x,T(y * K(x,y),T(x,z))) * T(y * K(x,y),T(x,u)) = x * ((T(x,y) * T(y,T(x,u))) / x). [para(5580(a,1),5582(a,2,2))]. 5710 T(T(x,y),y) * T(y,T(T(x,y),z)) = T(x,y) * T(y * K(x,y),T(x,z)). [para(5459(a,1),5581(a,1,2)),flip(a)]. 5711 T(x,y) * T(y * K(x,y),T(x,z)) = T(T(x,y),y) * T(y,T(x,z)). [para(3531(a,1),5710(a,1,2)),flip(a)]. 5712 (T(T(x,y),y) * T(y,T(x,z))) / K(x,T(y * K(x,y),T(x,z))) = T(x,y) * T(y,T(x,z)). [para(5711(a,1),5185(a,1,1))]. 5714 (x \ R(x,y,z)) * K((R(x,y,z) \ 1) \ 1,u) = x \ R(T(x,u),y,z). [para(2962(a,1),4914(a,1,2,1,1))]. 5715 (x \ R(x,y,z)) * K(R(x,y,z),u) = x \ R(T(x,u),y,z). [para(2648(a,1),5714(a,1,2))]. 5716 (x * y) * L(z \ T(z * (y \ (z \ 1)),z),y,x) = (x * K(y \ 1,z)) * (z \ 1). [para(1354(a,2),5053(a,1,2))]. 5717 K((((x \ y) \ 1) * (x \ 1)) \ 1,z) / (x \ T(y,z)) = 1 / (x \ y). [para(5575(a,1),5502(a,1,1))]. 5718 x * (y * (z \ T(z * (y \ (z \ 1)),z))) = (x * K(y \ 1,z)) * (z \ 1). [hyper(207,a,5716,a)]. 5719 (x * K(y \ 1,z)) * (z \ 1) = x * (K(y \ 1,z) * (z \ 1)). [para(4840(a,1),5718(a,1,2)),flip(a)]. 5720 (x * K(y \ 1,z)) * (z \ 1) = x * (T(z,y \ 1) \ 1). [para(4558(a,1),5719(a,2,2))]. 5721 (x * K(y,z)) * (z \ 1) = x * (T(z,(1 / y) \ 1) \ 1). [para(69(a,1),5720(a,1,1,2,1))]. 5722 (x * K(y,z)) * (z \ 1) = x * (T(z,y) \ 1). [para(69(a,1),5721(a,2,2,1,2))]. 5723 x \ T(x * (y \ 1),y) = T(y,y \ x) \ 1. [hyper(75,a,684,a(flip),b,5722,a(flip))]. 5724 (x * (y \ 1)) \ (x * (T(y,z) \ 1)) = K(z,y). [hyper(75,a,5722,a(flip),b,5033,a(flip))]. 5728 x \ T(x * (y \ 1),y) = ((y \ x) \ x) \ 1. [hyper(189,a,523,a(flip),b,5723,a)]. 5730 x * K(y,z) != u * (T(z,y) \ 1) | u * (z \ 1) = x. [para(5724(a,1),87(a,1,2)),flip(b)]. 5731 T((x \ 1) * y,x) = (((x \ y) \ y) \ 1) * y. [para(5728(a,1),4160(a,1,1)),flip(a)]. 5732 (((x \ 1) * y) \ y) \ y = (((x \ y) \ y) \ 1) * y. [hyper(189,a,3759,a(flip),b,5731,a(flip)),flip(a)]. 5733 (((L(x,y,z) \ 1) * x) \ x) \ x = (L(x,y,z) \ 1) * x. [para(5098(a,1),5732(a,2,1,1))]. 5734 (x * (T(y,z) \ 1)) * K(y,z) = x * (y \ 1). [hyper(5730,a,3919,a),flip(a)]. 5735 (x * (y \ 1)) \ (x * (T(y,z) \ 1)) != u | K(z,y) = u. [para(5734(a,1),3922(a,1,1))]. 5736 L(K(x,y),y \ 1,z) != u | K(x,y) = u. [para(4535(a,1),5735(a,1))]. 5737 L((x \ 1) \ 1,y,z) \ x = (L(x,y,z) \ 1) * x. [para(5623(a,1),5733(a,1,1))]. 5738 x / ((L(x,y,z) \ 1) * x) = L((x \ 1) \ 1,y,z). [para(5737(a,1),67(a,1,2))]. 5739 (L((x \ 1) \ 1,y,z) \ ((x \ 1) \ 1)) * (x \ 1) = ((L(x,y,z) \ 1) * x) * (1 / x). [para(5737(a,1),3452(a,2,1))]. 5740 T(x,(K(y \ 1,y) * z) * ((u \ 1) \ w)) = T(x,z * ((K(y,y \ 1) / u) \ w)). [para(4138(a,1),4136(a,2,2))]. 5741 L(L(x,y,T(z,u)),T(z,u) * y,K(u,z)) = (z * y) \ (z * (y * x)). [para(4383(a,1),4563(a,2,2))]. 5742 L(L(x,y,T(z,u)),T(z,u) * y,K(u,z)) != w | L(x,y,z) = w. [para(5741(a,2),355(a,1))]. 5744 R(K(R(x,y,z),u),R(x,y,z),y * z) = ((T(x,u) * y) * z) / ((x * y) * z). [para(110(a,1),4811(a,1,1)),flip(a)]. 5745 ((T(x,y) * z) * u) / ((x * z) * u) = K(R(x,z,u),y). [hyper(3747,a,5744,a),flip(a)]. 5746 R(K(x,y),x * z,u) = K(R(x,z,u),y). [hyper(4572,a,5745,a)]. 5748 K(R(x,y,z),x \ 1) = K(x,x \ 1). [hyper(189,a,3236,a(flip),b,5746,a(flip))]. 5749 K(R(x,x \ y,z),u) = R(K(x,u),y,z). [para(17(a,1),5746(a,1,2)),flip(a)]. 5750 K(R(x,K(x,y) * (x \ z),u),w) = R(K(x,w),K(x,y) * z,u). [para(4552(a,1),5746(a,1,2)),flip(a)]. 5751 R(x,y,z) * (1 / R(x,y,z)) = K(x,x \ 1). [hyper(189,a,3166,a,b,5748,a(flip)),flip(a)]. 5752 K(R(x,x \ 1,y),z) = K(x,z). [hyper(189,a,272,a(flip),b,5749,a)]. 5753 K((x * y) / ((z \ x) * y),u) = R(K(z,u),x,y). [para(108(a,1),5749(a,1,1))]. 5755 (1 / x) * (R(x,y,z) \ x) = 1 / R(x,y,z). [hyper(20,a,3240,a,b,5751,a),flip(a)]. 5756 (1 / x) \ (1 / R(x,y,z)) = R(x,y,z) \ x. [hyper(80,a,5755,a)]. 5757 (x \ R(x,y,z)) \ 1 = R(x,y,z) \ x. [hyper(189,a,4142,a(flip),b,5756,a(flip)),flip(a)]. 5758 R(K(x / y,z),x,u) = K((x * u) / (y * u),z). [para(69(a,1),5753(a,1,1,2,1)),flip(a)]. 5759 R(K(x / y,T(z,x * u)),x,u) = K((y * u) \ (x * u),z). [hyper(189,a,5340,a(flip),b,5758,a)]. 5760 R(K((x / y) / z,u),x / y,y) = K(x / (z * y),u). [para(19(a,1),5758(a,2,1,1))]. 5761 R(K(x / (y / z),u),x,z) = K((x * z) / y,u). [para(19(a,1),5758(a,2,1,2))]. 5762 K((x * y) / (z * y),T(u,x)) = R(K(z \ x,u),x,y). [para(5340(a,1),5758(a,1,1)),flip(a)]. 5763 K((x * y) / z,x) = K(x / (z / y),x). [hyper(189,a,3831,a(flip),b,5761,a(flip))]. 5764 K((x * y) / z,x) != u | K((z / y) \ x,x) = u. [para(5763(a,2),5470(a,1))]. 5765 R(K(x \ (y / z),y / z),y / z,z) = K(y / (x * z),y / z). [para(4764(a,1),5760(a,1,1))]. 5766 R(K(x,y),K(x,z) * u,w) = K(R(x,x \ u,w),y). [hyper(5708,a,5750,a),flip(a)]. 5767 R(K(x,y),K(x,z) * u,w) = R(K(x,y),u,w). [hyper(189,a,5749,a(flip),b,5766,a)]. 5768 (x * y) / L(y,x,y * K(x * y,y)) = (R(y * K(x,y),x,y) * x) / y. [para(4405(a,1),4813(a,1,1))]. 5769 (x / L(y,x,y * K(x * y,y))) * y = (R(y * K(x,y),x,y) * x) / y. [hyper(1265,a,5768,a)]. 5770 (x / L(y,x,y * K(x * y,y))) * y = (x * R(y,x,y)) / y. [para(4426(a,1),5769(a,2,1))]. 5771 (x / L(y,x,y * K(x * y,y))) * y = T(y * x,y) / y. [para(3668(a,1),5770(a,2,1))]. 5772 (x / T(y * K(x,y),y * x)) * y = T(y * x,y) / y. [para(5646(a,1),5771(a,1,1,2))]. 5773 (x / L(y,x,y)) * y = T(y * x,y) / y. [para(4485(a,1),5772(a,1,1,2))]. 5774 (T(x * y,x) / x) \ (y * x) = L(x,y,x). [para(5773(a,1),1249(a,1,1))]. 5775 T((((x / y) \ 1) \ y) * ((x / y) \ 1),z) = (x / y) \ T(x * K(y,z),(x / y) \ 1). [hyper(189,a,4153,a,b,5175,a),flip(a)]. 5776 K(x,y) * ((((z * x) \ z) \ K(x,y)) \ u) = (((z * x) \ z) \ 1) \ u. [para(5224(a,1),5508(a,1,1))]. 5779 L((x \ 1) \ 1,y,z) \ ((x \ 1) \ 1) = L(x,y,z) \ x. [hyper(21,a,4930,a(flip),b,5739,a)]. 5780 (x / y) \ T(x * K(y,z),(x / y) \ 1) = T(x * (y / x),z). [para(3386(a,1),5775(a,1,1)),flip(a)]. 5781 K(x * K(y,z),(x / y) \ 1) = T(x * (y / x),z) / T(y,z). [para(5780(a,1),5191(a,1,1)),flip(a)]. 5782 K((x / y) \ 1,x * K(y,z)) = T(y,z) / T(x * (y / x),z). [para(5780(a,1),5192(a,1,2)),flip(a)]. 5783 L(x,y * K(z \ 1,z),u) = (u * y) \ (u * (y * x)). [para(4109(a,1),4139(a,1,2)),flip(a)]. 5784 L(x,y * K(z \ 1,z),u) = L(x,y,u). [hyper(189,a,31,a,b,5783,a)]. 5786 L(x,(y \ 1) \ 1,z) = L(x,y,z). [para(1142(a,1),5784(a,1,2)),flip(a)]. 5787 L(x,T(y,y \ 1),z) = L(x,y,z). [para(1143(a,1),5784(a,1,2)),flip(a)]. 5788 L(x,1 / y,z) = L(x,y \ 1,z). [para(1198(a,1),5784(a,1,2)),flip(a)]. 5789 L(K(x,y \ 1),y,z) = K(x,y \ 1). [hyper(5736,a,5786,a),flip(a)]. 5792 (x * T(y,y \ 1)) * L(z,y,x) = x * (T(y,y \ 1) * z). [para(5787(a,1),102(a,1,2))]. 5793 (x * y) * K(z,y \ 1) = x * (y * K(z,y \ 1)). [para(5789(a,1),102(a,1,2))]. 5794 R(x,y,K(z,y \ 1)) = x. [hyper(376,a,5793,a)]. 5795 R(x,y \ z,K(u,z \ y)) = x. [para(5258(a,1),5794(a,1,3))]. 5796 x \ (y * K(z,y \ x)) = (x \ y) * K(z,y \ x). [para(5795(a,1),370(a,1,1))]. 5797 T(x \ y,z) * ((y \ x) * K(z,x \ y)) = T((x \ y) * (y \ x),z). [para(5796(a,1),5108(a,1,2))]. 5798 (x * T(y,y \ 1)) * z != x * (T(y,y \ 1) * u) | L(u,y,x) = z. [para(5792(a,1),22(a,1)),flip(a)]. 5799 T((x \ y) * (y \ x),z) = (x \ y) * (y \ x). [hyper(189,a,5510,a(flip),b,5797,a(flip))]. 5801 T(x,(y \ z) * (z \ y)) = x. [hyper(38,a,5799,a)]. 5804 T(x,y * ((z * y) \ z)) = x. [para(16(a,1),5801(a,1,2,1))]. 5806 x / (y * ((z * y) \ z)) = (y * ((z * y) \ z)) \ x. [hyper(307,a,5804,a),flip(a)]. 5808 T(x * ((y * x) \ y),z) = x * ((y * x) \ y). [hyper(38,a,5804,a)]. 5810 T(x * L(x \ 1,x,y),z) = x * ((y * x) \ y). [para(140(a,2),5808(a,1,1,2))]. 5811 T(x,y) * K(R(x,z,u) * y,T(x,y)) = R(x,y,R(T(x,y),z,u)). [hyper(650,a,4494,a),flip(a)]. 5812 K((((x * y) * z) \ (x * z)) \ 1,x) = ((x * y) * z) \ ((y * x) * z). [para(505(a,1),4751(a,1,2)),flip(a)]. 5813 ((x \ y) \ y) \ R((x \ y) \ y,z,u) = x \ (y \ ((R(x,z,u) * (x \ y)) * x)). [hyper(4892,a,5105,a)]. 5814 ((x * y) * z) / ((x * T(x \ (x * y),u)) * z) = K(u,R(y * K(x,y),x,z)). [para(1117(a,1),4919(a,1,2))]. 5815 ((x * y) * z) / ((x * T(y,u)) * z) = K(u,R(y * K(x,y),x,z)). [para(16(a,1),5814(a,1,2,1,2,1))]. 5816 K(x,y / (z * (x / ((z \ 1) \ 1)))) = K(x,x \ y). [hyper(189,a,5123,a(flip),b,5111,a(flip))]. 5818 (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(927(a,1),3728(a,1,1))]. 5819 (R(x,y,z) * (u * x)) \ ((R(x,y,z) * u) * x) = a(x,T(u,x),R(T(x,u),y,z)). [para(935(a,1),5818(a,1,2))]. 5820 a(x,T(y,x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(553,a,5819,a),flip(a)]. 5821 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(189,a,4009,a,b,5820,a(flip)),flip(a)]. 5822 a(T(x,y),T(T(y,x),x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [para(3521(a,1),5821(a,1,1))]. 5823 T(x * (y * K(z,u)),L(K(u,z),y * K(z,u),x)) = L(K(u,z),y / K(u,z),x) \ (x * y). [para(3890(a,1),3925(a,1,2,2))]. 5824 (K(x,y) * (K(x,z) * u)) / (K(x,y) * u) = K((1 / x) \ 1,z). [para(4839(a,1),5021(a,1,1,2))]. 5825 (K(x,y) * (K(x,z) * u)) / (K(x,y) * u) = K(x,z). [hyper(189,a,1216,a(flip),b,5824,a)]. 5827 K(x,y) * (K(x,z) * u) = K(x,z) * (K(x,y) * u). [para(5825(a,1),19(a,1,1))]. 5828 K(x,y) * (K(y,z) * (K(y,x) * u)) = K(y,z) * u. [hyper(3907,a,5827,a)]. 5829 K(x,y) * (K(x,z) * T(u,K(x,y))) = K(x,z) * (u * K(x,y)). [para(113(a,1),5827(a,1,2)),flip(a)]. 5830 K(x,y) * (K(z,x) * u) = K(z,x) * (K(x,y) * u). [para(3887(a,1),5828(a,1,2,2)),flip(a)]. 5831 (T(T(x,y),y) * T(y,T(x,z))) / K(x,y * K(x,y)) = T(x,y) * T(y,T(x,z)). [para(5341(a,1),5712(a,1,2))]. 5832 (T(T(x,y),y) * T(y,T(x,z))) / K(x,y) = T(x,y) * T(y,T(x,z)). [para(4429(a,1),5831(a,1,2))]. 5834 L((x \ 1) \ y,x \ 1,x * ((1 / x) * (x * z))) = ((x * z) / x) \ (T(T(x,z) * z,x) * y). [para(4206(a,1),4699(a,1,3))]. 5835 R(x,K(y,z),L(L(z,u,w),K(y,z),x)) = x. [hyper(189,a,18,a(flip),b,5300,a)]. 5837 R(x,K(y,z),L(z,u,w)) = x. [para(5295(a,1),5835(a,1,3))]. 5839 R(x,K(y,z),L(T(z,u),w,v5)) = x. [para(5396(a,1),5837(a,1,2))]. 5840 x / (K(y,z) * L(T(z,u),w,v5)) = (x / L(T(z,u),w,v5)) * K(z,y). [hyper(189,a,3924,a(flip),b,5839,a(flip)),flip(a)]. 5841 (L(x \ 1,y,z) \ (x \ 1)) * T(1 / (1 / x),x \ 1) = L(x \ 1,y,z) \ K(x \ 1,x). [hyper(189,a,4111,a(flip),b,5009,a)]. 5842 (L(x \ 1,y,z) \ (x \ 1)) * T(1 / (1 / x),x \ 1) = (x \ 1) * (L(x \ 1,y,z) \ x). [hyper(189,a,970,a(flip),b,5841,a)]. 5843 (L(x \ 1,y,z) \ (x \ 1)) * x = (x \ 1) * (L(x \ 1,y,z) \ x). [para(952(a,1),5842(a,1,2))]. 5844 (L(x \ 1,y,z) \ (x \ 1)) \ (L(1 / x,y,z) \ 1) = x. [hyper(75,a,5086,a(flip),b,5843,a)]. 5845 T(R(x,y,x),z) * (T(x,y) \ (x * y)) = T(x,y) \ ((T(x,z) * y) * T(x,y)). [para(4475(a,1),5020(a,1,1,1))]. 5846 R(T(x,y),z,x) * (T(x,z) \ (x * z)) = T(x,z) \ ((T(x,y) * z) * T(x,z)). [para(45(a,2),5845(a,1,1))]. 5847 T(x,y) \ ((T(x,z) * y) * T(x,y)) = R(T(x,z),y,x) * T(y,x). [para(3528(a,1),5846(a,1,2)),flip(a)]. 5848 R(T(x,y),z,x) * T(z,x) = T(T(x,y) * z,T(x,z)). [hyper(238,a,5847,a),flip(a)]. 5849 T(x,y) * T(y * K(x,y),T(x,z)) = x * ((T(x,y) * T(y,T(x,z))) / x). [para(4431(a,1),5709(a,1,1,2))]. 5850 T(T(x,y),y) * T(y,T(x,z)) = x * ((T(x,y) * T(y,T(x,z))) / x). [hyper(189,a,5711,a(flip),b,5849,a(flip)),flip(a)]. 5851 (x * ((1 / (y * x)) * y)) \ ((1 / (y * x)) * y) = x \ 1. [hyper(189,a,1857,a(flip),b,4882,a(flip))]. 5853 (L(x,y,z) * ((1 / x) * (L(x,y,z) \ x))) \ ((1 / ((L(x,y,z) \ x) * L(x,y,z))) * (L(x,y,z) \ x)) = L(x,y,z) \ 1. [para(5097(a,1),5851(a,1,1,2,1,2))]. 5854 T(x,y) \ T(T(x,y) * (K(y,x) * K(z,z \ x)),u) = T(z * (x / z),u) / T(T(x,y),z * (x / z)). [para(5590(a,1),4188(a,1,2,1,2))]. 5855 L(K(x * L(y,z,u),x),L(y,z,u),u * z) = (u * (z * y)) \ (u * (z * (y * K(y * x,x)))). [para(102(a,1),5629(a,1,2)),flip(a)]. 5856 L(L(K(x * y,y),x,z),z * x,u) = L(K(y * L(x,z,u),y),L(x,z,u),u * z). [hyper(189,a,348,a(flip),b,5855,a),flip(a)]. 5857 T(x * (y / x),z) / T(T(y,u),x * (y / x)) = T(y,u) \ T(x * (y / x),z). [para(4583(a,1),5854(a,1,2,1)),flip(a)]. 5858 T(x * (y / x),z) / T(y,u) = T(y,u) \ T(x * (y / x),z). [para(3781(a,1),5857(a,1,2))]. 5860 K(x * K(y,z),(x / y) \ 1) = T(y,z) \ T(x * (y / x),z). [hyper(189,a,5781,a,b,5858,a(flip)),flip(a)]. 5862 K(x * K(y,z),(x / y) \ 1) = K(x,x \ T(y,z)). [hyper(189,a,4178,a(flip),b,5860,a)]. 5863 T(R(x,y,z) * K(u * R((1 / x) \ 1,y,z),R(x,y,z)),u) = R(R(x,y,z),u,L(R(x,y,z),x \ 1,x)). [para(5568(a,1),5049(a,1,1,2))]. 5864 (x / (y * K(z,y))) * R(y * K(z,y),z,L(y,u,w)) = (x * K(z * L(y,u,w),y)) * K(y,z). [hyper(189,a,5286,a(flip),b,5051,a)]. 5865 T(R(x,y,z) * K(u * R(x,y,z),R(x,y,z)),u) = R(R(x,y,z),u,L(R(x,y,z),x \ 1,x)). [para(69(a,1),5863(a,1,1,2,1,2,1))]. 5866 L(x,((y \ 1) \ y) \ y,z / T(y \ 1,(y \ 1) \ y)) = z \ ((z / (1 / y)) * ((((y \ 1) \ y) \ y) * x)). [para(123(a,1),4623(a,2,2,1,2,1))]. 5868 L(x,((y \ 1) \ y) \ y,z / T(y \ 1,(y \ 1) \ y)) = z \ ((z / (1 / y)) * (((y * y) \ y) * x)). [para(489(a,1),5866(a,2,2,2,1,1))]. 5869 L(x,((y \ 1) \ y) \ y,z / T(y \ 1,(y \ 1) \ y)) = z \ ((z / (1 / y)) * ((1 / y) * x)). [para(1888(a,1),5868(a,2,2,2,1))]. 5870 L(x,((y \ 1) \ y) \ y,z / T(y \ 1,(y \ 1) \ y)) = z \ (y * ((y \ z) * x)). [para(473(a,1),5869(a,2,2))]. 5871 L(x,((y \ 1) \ y) \ y,z / T(y \ 1,(y \ 1) \ y)) = L(x,y \ z,y). [hyper(189,a,103,a(flip),b,5870,a)]. 5872 L(x,(y * y) \ y,z / T(y \ 1,(y \ 1) \ y)) = L(x,y \ z,y). [para(489(a,1),5871(a,1,2,1))]. 5873 L(x,1 / y,z / T(y \ 1,(y \ 1) \ y)) = L(x,y \ z,y). [para(1888(a,1),5872(a,1,2))]. 5874 L(x,1 / y,z / T(y \ 1,y * y)) = L(x,y \ z,y). [para(489(a,1),5873(a,1,3,2,2))]. 5875 L(x,1 / y,z / (K(y,y) / y)) = L(x,y \ z,y). [para(4602(a,1),5874(a,1,3,2))]. 5876 L(x,1 / y,z / (1 / y)) = L(x,y \ z,y). [para(123(a,1),5875(a,1,3,2,1))]. 5878 x * ((T(y,(z \ x) \ u) * (x \ (z * u))) / T(y,(z \ x) \ u)) = z * (u * K(y,(u \ (z \ x)) \ 1)). [para(4858(a,1),4663(a,2,2))]. 5879 x * ((x \ (y * z)) * K(T(u,(y \ x) \ z),x \ (y * z))) = y * (z * K(u,(z \ (y \ x)) \ 1)). [hyper(189,a,4479,a(flip),b,5878,a(flip)),flip(a)]. 5880 x * ((x \ (y * z)) * K(u,x \ (y * z))) = y * (z * K(u,(z \ (y \ x)) \ 1)). [para(5618(a,1),5879(a,1,2,2))]. 5881 (x * y) * K(z,((x * y) \ u) \ 1) = x * (y * K(z,(y \ (x \ u)) \ 1)). [hyper(189,a,4858,a(flip),b,5880,a(flip)),flip(a)]. 5882 L(K(x,(y \ (z \ u)) \ 1),y,z) = K(x,((z * y) \ u) \ 1). [hyper(346,a,5881,a)]. 5883 L(K(x,(y \ z) \ 1),y,u) = K(x,((u * y) \ (u * z)) \ 1). [para(16(a,1),5882(a,1,1,2,1,2))]. 5884 K(x,((y * z) \ (y * (z * u))) \ 1) = L(K(x,u \ 1),z,y). [para(16(a,1),5883(a,1,1,2,1)),flip(a)]. 5885 L(K(x,y \ 1),z,u) = K(x,L(y,z,u) \ 1). [para(31(a,2),5884(a,1,2,1)),flip(a)]. 5886 K(x,L(1 / y,z,u) \ 1) = L(K(x,y),z,u). [para(69(a,1),5885(a,1,1,2)),flip(a)]. 5887 (x * y) * K(z,L(u,y,x) \ 1) = x * (y * K(z,u \ 1)). [para(5885(a,1),102(a,1,2))]. 5888 K(x,L(y \ 1,z,u) \ 1) = L(K(x,y),z,u). [para(3081(a,1),5885(a,1,1)),flip(a)]. 5890 L(K(x,y),z,u) \ 1 = L(K(y,x),z,u). [hyper(189,a,4833,a(flip),b,5888,a(flip)),flip(a)]. 5891 K(x,L(y,z / y,u)) = L(K(x,y),z,u). [hyper(5543,a,5890,a)]. 5892 1 / L(K(x,y),z,u) = L(K(y,x),z,u). [hyper(4284,a,5890,a)]. 5893 (x * L(K(y,z),u,w)) \ x = L(K(z,y),u,w). [hyper(189,a,4960,a,b,5890,a(flip)),flip(a)]. 5894 1 / L(K(x,y),z,u) != w | L(K(y,x),z,u) = w. [para(5890(a,1),246(a,1,2)),flip(b)]. 5895 L(K(x,y),z,u) \ w = L(K(y,x),z,u) * w. [para(5890(a,1),4946(a,1,1))]. 5896 L(K(x,y),x,z) = K(y,x) \ 1. [para(5302(a,1),5890(a,1,1)),flip(a)]. 5897 L(K(x,y),x,z) = K(x,y). [hyper(189,a,3871,a(flip),b,5896,a)]. 5898 L(K(x,y),x,z) != u | K(x,y) = u. [para(5896(a,2),3872(a,1))]. 5899 (x * y) * T(K(y,z),u) = x * (y * T(K(y,z),u)). [para(5897(a,1),350(a,1,2,1))]. 5900 (1 / x) \ L(K(x,y),z,u) = x * L(K(x,y),z,u). [para(5897(a,1),403(a,1,2,1))]. 5901 R(R(x,y,z),y * z,L(K(z,u),z,x * y)) = ((x * y) * (z * K(z,u))) / ((y * z) * K(z,u)). [para(5897(a,1),943(a,1,2,2)),flip(a)]. 5904 L(K(x,y),z * y,u) = K(x,L(y,z,u)). [para(18(a,1),5891(a,1,2,2)),flip(a)]. 5905 L(K(x,y \ z),z,u) = K(x,L(y \ z,y,u)). [para(67(a,1),5891(a,1,2,2)),flip(a)]. 5906 L(K(x,y),z,u) \ 1 != w | L(K(y,x),z,u) = w. [para(5892(a,1),236(a,1,1)),flip(b)]. 5907 L(L(K(x,y),z * y,u),y,w) = K(x,L(y,z,u)). [hyper(189,a,5309,a,b,5904,a(flip)),flip(a)]. 5908 x / L(K(y,z),u,w) != v5 | x * L(K(z,y),u,w) = v5. [para(5893(a,1),246(a,1,2)),flip(b)]. 5909 (x * (y * K(z,u))) \ (x * y) = L(K(u,z),y,x). [para(102(a,1),5893(a,1,1))]. 5910 L(K(x,y),z,u) * (L(K(y,x),z,u) * w) = w. [hyper(237,a,5895,a)]. 5911 L(K(x,y),z,u) \ K(x,w) = K(x,w) * L(K(y,x),z,u). [hyper(189,a,1963,a(flip),b,5895,a)]. 5912 K(x,L(y \ x,y,z)) = K(x,y \ x). [hyper(5898,a,5905,a),flip(a)]. 5913 L(K(x,y \ z),z,u) = K(x,(u * y) \ (u * z)). [para(104(a,1),5905(a,2,2))]. 5914 L(K(x,y \ (z \ u)),z \ u,z) = K(x,(z * y) \ u). [para(183(a,1),5905(a,2,2))]. 5915 L(K(x,(y \ z) \ u),u,y) = K(x,z \ (y * u)). [para(359(a,1),5905(a,2,2))]. 5916 K(x,(y \ z) \ x) = K(x,z \ (y * x)). [para(359(a,1),5912(a,1,2)),flip(a)]. 5917 K(x,L((y \ z) \ x,z / y,y)) = K(x,(y \ z) \ x). [para(4005(a,1),5912(a,1,2))]. 5918 L(K(x,y),z,u) \ w != v5 | L(K(y,x),z,u) * w = v5. [para(5910(a,1),237(a,1,2)),flip(b)]. 5919 L(K(x,L(y,z,u)),y,w) = K(x,L(y,z,u)). [para(5904(a,1),5907(a,1,1))]. 5920 K((x \ y) \ z,L(z,u,w)) = K(y \ (x * z),L(z,u,w)). [hyper(189,a,5527,a(flip),b,5919,a(flip))]. 5921 (x * (y * K(z,u))) * L(K(u,z),y,x) = x * y. [para(5909(a,1),17(a,1,2))]. 5923 (x * (y \ T(y * z,y))) \ (x * z) = L(K(y,y * z),z,x). [para(5198(a,2),5909(a,1,1,2))]. 5924 (x * (K(y,z) * u)) \ (x * u) = L(K(z,T(y,u)),u,x). [para(5370(a,1),5909(a,1,1,2))]. 5925 K(x,(y * (z \ u)) \ (y * u)) = L(K(x,T(z,u)),u,y). [para(5333(a,1),5913(a,1,1)),flip(a)]. 5926 (x * y) * K(z,u \ (x * y)) = x * (y * K(z,(x \ u) \ y)). [para(5915(a,1),102(a,1,2))]. 5927 K(x,y \ (z * x)) != u | K(x,(z \ y) \ x) = u. [para(5915(a,1),5898(a,1))]. 5928 (x * (y * K(z,u))) * w != x * y | L(K(u,z),y,x) = w. [para(5921(a,1),22(a,1)),flip(a)]. 5929 (x * (y * K(z,u))) \ (x * y) != w | L(K(u,z),y,x) = w. [para(5921(a,1),237(a,1,2)),flip(b)]. 5930 (x * (y * T(z,u))) * L(K(u,z),y * z,x) = x * (y * z). [para(5139(a,1),5921(a,1,1,2))]. 5931 (x * (K(y,z) * u)) * L(K(z,T(y,u)),u,x) = x * u. [para(5370(a,1),5921(a,1,1,2))]. 5932 (x * y) \ (y * (x * T(K(x,y),z))) = K(y,x) * T(K(x,y),z). [para(5899(a,1),3882(a,1,2))]. 5933 K(x,L((y \ z) \ x,z / y,y)) = K(x,z \ (y * x)). [hyper(189,a,5916,a(flip),b,5917,a)]. 5936 ((((x * (K(y,z) * u)) / (x * u)) \ 1) \ 1) \ (x * (K(y,z) * u)) = (x * (K(y,z) * u)) * ((L(K(z,T(y,u)),u,x) \ 1) \ 1). [para(5924(a,1),2577(a,2,2,1,1))]. 5937 L(K(x,T(y,z)),z,L(y,u,w)) != v5 | K(x,T(y,L(y,u,w) * z)) = v5. [para(5925(a,1),5496(a,1))]. 5938 K(x,y) * (L(K(x,z),u,w) \ 1) = L(K(x,z),u,w) \ K(x,y). [para(5890(a,2),5911(a,2,2)),flip(a)]. 5939 T(x,L(y,x,z) \ 1) = x * K(x,y \ 1). [hyper(5167,a,5887,a)]. 5940 T(x,L(y,x,z) \ 1) != u | T(x,y \ 1) = u. [para(5939(a,2),4399(a,1))]. 5941 K(x * (y \ T(y * z,y)),L(K(y,y * z),z,x)) / ((x * z) / (x * (y \ T(y * z,y)))) = 1 / ((x * (y \ T(y * z,y))) \ (x * z)). [para(5923(a,1),4301(a,1,1,2))]. 5942 (x * (y * T(z,u))) * K(u,L(z,y,x)) = x * (y * z). [para(5904(a,1),5930(a,1,2))]. 5943 (x * (y * z)) * K(z,L(y,z,x)) = x * (z * y). [para(113(a,1),5942(a,1,1,2))]. 5945 x * (y * K(z,(x \ 1) \ y)) = (x * y) * K(z,x * y). [para(58(a,1),5926(a,1,2,2)),flip(a)]. 5946 K(x \ (y * z),(y \ 1) \ z) = K((y \ x) \ z,y * z). [hyper(5598,a,5945,a(flip))]. 5948 K((x \ y) \ (x \ z),x * (x \ z)) = K(y \ z,(x \ 1) \ (x \ z)). [para(17(a,1),5946(a,1,1,2)),flip(a)]. 5949 (x * y) \ (y * (x * T(K(x,y),z))) = K(z,K(y,x)). [hyper(189,a,4463,a(flip),b,5932,a)]. 5950 (x * y) \ (y * T(x,T(y,z))) = K(z,K(y,x)). [para(5349(a,1),5949(a,1,2,2))]. 5951 (x * y) \ T(x * y,K(y,z)) = K(z,K(y,x)). [para(5523(a,2),5950(a,1,2))]. 5952 K(x * y,K(y,z)) = K(z,K(y,x)). [hyper(4413,a,5951,a)]. 5953 K(x,K(y,z)) = K(z,K(y,x)). [hyper(189,a,5487,a(flip),b,5952,a(flip))]. 5954 K(K(x,y),z) = K(x,K(y,z)). [hyper(4616,a,5953,a)]. 5955 K(x,K(y,z * y)) = K(x,K(y,z)). [hyper(189,a,5952,a(flip),b,5953,a)]. 5956 K(x,K(y,z)) \ 1 = K(z,K(x,y)). [para(5953(a,1),4593(a,1,1))]. 5958 K(x,y) * K(x,K(y,z)) = T(K(x,y),z). [para(5953(a,1),4595(a,1,2))]. 5959 K(K(L(x \ 1,y,z) \ 1,u),w) = L(K(x,K(u,w)),y,z). [hyper(189,a,4829,a(flip),b,5954,a)]. 5960 K(K(R(x \ 1,y,z) \ 1,u),w) = R(K(x,K(u,w)),y,z). [hyper(189,a,4820,a(flip),b,5954,a)]. 5961 T(x,K(y,z)) * K(y,K(z,x)) = x. [para(5954(a,1),4365(a,1,2))]. 5962 (K(x,K(y,z)) * u) / (K(x,y) \ u) = T(K(x,y),z). [para(5954(a,1),4550(a,1,1,1))]. 5963 K(x,K(y,z)) != u | K(z,K(y,x)) = u. [para(5954(a,1),4693(a,1))]. 5964 (x * K(y,z)) * K(y,K(z,u)) = x * T(K(y,z),u). [para(5954(a,1),5139(a,1,2))]. 5965 K(x,K(y,y * z)) = K(x,K(y,z)). [para(4576(a,1),5955(a,1,2))]. 5966 K(x,K(y,z)) = K(y,K(x,z)). [hyper(4594,a,5956,a)]. 5967 K(x,K(y,z)) != u | K(y,K(x,z)) = u. [para(5956(a,1),4594(a,1))]. 5968 K(K(x,y),z) = K(y,K(x,z)). [hyper(189,a,5954,a,b,5966,a),flip(a)]. 5969 K(x,K(y,z)) = K(z,K(x,y)). [hyper(189,a,5953,a,b,5966,a)]. 5970 x * K(y,K(x,z)) = T(x,K(y,z)). [para(5966(a,1),4396(a,2,2)),flip(a)]. 5971 K(x,K(y,z)) * y = T(y,K(x,z)). [para(5966(a,1),4403(a,2,1)),flip(a)]. 5972 x * K(y,K(x,z)) != u | T(x,K(y,z)) = u. [para(5966(a,1),4399(a,1,2))]. 5973 K(x,K(y,z)) * y != u | T(y,K(x,z)) = u. [para(5966(a,1),4404(a,1,1))]. 5974 (K(x,K(y,z)) * u) / (y \ u) = T(y,K(x,z)). [para(5966(a,1),4550(a,1,1,1))]. 5975 K(x,y) * T(x,K(z,u)) = T(x,y) * K(z,K(x,u)). [para(5966(a,1),4557(a,2,2))]. 5976 K(x,y) * K(y,K(z,x)) = T(K(x,y),z). [para(5966(a,1),4595(a,1,2))]. 5977 (K(x,K(y,z)) * u) / (y \ u) != w | T(y,K(x,z)) = w. [para(5966(a,1),4555(a,1,1,1))]. 5978 K(x,K(y,z)) * K(z,x) = K(z,T(x,y)). [para(5966(a,1),5338(a,1,1))]. 5979 K(K(x,y),z) = K(z,K(x,y)). [hyper(189,a,5953,a,b,5968,a)]. 5980 K(x,K(y,z)) * (z * K(y,x)) = K(y,x) * z. [para(5968(a,1),4373(a,1,1))]. 5981 K(x,K(R(y \ 1,z,u) \ 1,w)) = K(R(K(y,x),z,u),w). [para(4820(a,1),5968(a,1,1)),flip(a)]. 5982 K(x,K(L(y \ 1,z,u) \ 1,w)) = K(L(K(y,x),z,u),w). [para(4829(a,1),5968(a,1,1)),flip(a)]. 5983 K(x,K(y,z)) = K(x,K(z,y)). [hyper(189,a,5966,a,b,5969,a)]. 5984 K(x,K(y,z)) * z = T(z,K(x,y)). [para(5969(a,2),4403(a,2,1)),flip(a)]. 5985 K(x,K(y,z)) * (z * u) = T(z,K(x,y)) * u. [para(5969(a,2),4407(a,1,1))]. 5986 (K(x,K(y,z)) * u) / (y \ u) = T(y,K(z,x)). [para(5969(a,1),4550(a,1,1,1))]. 5987 K(x,K(y,z)) * K(y,x) = K(y,T(x,z)). [para(5969(a,2),5338(a,1,1))]. 5988 K(x,K(y,z)) * (K(z,u) * w) = K(z,u) * (K(z,K(x,y)) * w). [para(5969(a,2),5827(a,1,1))]. 5989 L(K(x * y,x) * K(x,K(z * y,x * y)),y,z) = (z * (T(x * y,x) / T(x,y))) / (z * y). [para(5969(a,1),5446(a,1,1,2))]. 5990 K(x,K(y,z)) * u != w | K(x,K(y,z)) * w = u. [para(5979(a,1),3907(a,1,1))]. 5991 K(x,K(y,z)) != u | K(x,K(z,y)) = u. [para(5979(a,1),4693(a,1))]. 5992 K(x,K(y,z * y)) = K(x,K(z,y)). [hyper(189,a,5955,a,b,5983,a),flip(a)]. 5993 T(x,K(y,z)) * K(z,x) = x * T(K(z,x),y). [para(5961(a,1),5146(a,1,1)),flip(a)]. 5994 K(x,K(y,y * z)) = K(y,K(x,z)). [hyper(189,a,5966,a,b,5965,a)]. 5995 K(x,K(y,y \ z)) = K(x,K(y,z)). [para(17(a,1),5965(a,1,2,2)),flip(a)]. 5996 K(x,K(y,z)) * K(y * z,y) = K(y * z,T(y,x)). [para(5965(a,1),5338(a,1,1))]. 5997 x * K(y,K(x,x * z)) = T(x,K(y,z * x)). [para(4576(a,1),5970(a,1,2,2))]. 5998 K(x,K(y,x * z)) = K(x,K(y,z)). [hyper(189,a,5966,a,b,5994,a(flip)),flip(a)]. 5999 K(x,K(y,y \ z)) = K(y,K(z,x)). [hyper(189,a,5969,a,b,5995,a)]. 6000 T(x,K(y,y \ z)) = x * K(x,K(y,z)). [para(5995(a,1),4396(a,2,2))]. 6001 K(x,K(x \ y,z)) = K(x,K(y,z)). [hyper(189,a,5969,a,b,5999,a(flip)),flip(a)]. 6002 K(x \ y,x) * K(x,K(y,z)) = T(K(x \ y,x),z). [para(5999(a,1),4595(a,1,2))]. 6003 K(x,K(x * y,z)) = K(x,K(y,z)). [para(16(a,1),6001(a,1,2,1)),flip(a)]. 6004 K(x,K(x \ y,T(z,y))) = K(x,K(y,z)). [para(3874(a,1),6001(a,2,2))]. 6009 K(x,K(y,z)) != u | K(y,K(z,x)) = u. [para(5983(a,1),5963(a,1))]. 6011 K(x,K(y,y \ z)) != u | K(y,K(z,x)) = u. [para(5995(a,2),6009(a,1))]. 6012 K(x,y) * K(x,K(y,z)) = K(x,T(y,z)). [hyper(189,a,5334,a,b,5958,a)]. 6014 K(x,K(y,z)) * K(x * y,x) = K(x * y,T(x,z)). [para(6003(a,1),5987(a,1,1))]. 6015 T(x,K(y,y \ z)) = T(x,K(y,z)). [hyper(189,a,4396,a,b,6000,a)]. 6016 T(x,K(y,y \ z)) != u | T(x,K(y,z)) = u. [para(6000(a,2),4399(a,1))]. 6017 K(x \ y,x) * (z / (x \ y)) = T(z / (y / x),K(x,y)). [hyper(5450,a,6015,a)]. 6018 T(x,K(y,y * z)) = T(x,K(y,z)). [para(16(a,1),6015(a,1,2,2)),flip(a)]. 6019 T(x * y,T(z,K(x,y))) = T(x * y,z). [para(6018(a,1),5378(a,1,2))]. 6020 K(x,T(y,z)) != K(x,y) * u | K(x,K(y,z)) = u. [para(6012(a,1),22(a,1))]. 6021 K(x,y) * K(z,K(x,y)) = K(x,T(y,z)). [para(5969(a,1),6012(a,1,2))]. 6022 (x * K(y,z)) / x = K(y,T(z,x)). [hyper(4384,a,6021,a)]. 6023 T(K(x,T(y,z)),z) = K(x,y). [para(6021(a,1),4374(a,1,1))]. 6024 K(x,T(y,z)) * z = z * K(x,y). [para(6021(a,1),4405(a,1,1))]. 6025 (x * (y * K(z,u))) / (x * y) = L(K(z,T(u,x * y)),y,x). [para(6021(a,1),4490(a,1,1)),flip(a)]. 6026 K(x,T(T(y,z),z)) = K(x,y). [hyper(5490,a,6023,a)]. 6027 K(T(x,y),T(z,y)) = K(x,z). [hyper(5431,a,6023,a)]. 6029 K(x \ y,T(z,y)) = K(y / x,z). [hyper(189,a,5210,a(flip),b,6023,a(flip)),flip(a)]. 6030 T(K(x,y \ z),z) = K(x,(y / z) \ 1). [para(4247(a,1),6023(a,1,1,2))]. 6031 T(T(K(x,y),z),z) = K(x,y). [para(5334(a,1),6023(a,1,1))]. 6032 T(T(x,y),T(z,y)) = K(x,z) * T(x,y). [para(6023(a,1),5387(a,1,1)),flip(a)]. 6033 K(x \ y,T(z,x)) = K(y / x,z). [hyper(5429,a,6026,a)]. 6034 K((x * y) / x,z) = K(y,T(z,x)). [hyper(5415,a,6026,a),flip(a)]. 6035 K(x,T(y \ z,y)) = K(x,z / y). [para(115(a,1),6026(a,1,2,1))]. 6036 K(x,(y * z) / y) = K(x,T(z,y)). [para(142(a,1),6026(a,1,2,1)),flip(a)]. 6037 K(x,R(T(T(y,z),z),u,w)) = K(x,R(y,u,w)). [para(635(a,2),6026(a,1,2))]. 6038 K((x * y) / x,z) != u | K(y,T(z,x)) = u. [para(6026(a,1),5415(a,1))]. 6039 K(T(x,y),z \ y) = K(x,y / z). [hyper(5325,a,6027,a)]. 6040 K(L(T(x,y),z,u),T(w,y)) = K(L(x,z,u),w). [para(43(a,2),6027(a,1,1))]. 6041 K(T(x,y),y \ z) = K(x,z / y). [para(115(a,1),6027(a,1,2))]. 6042 K(x,(T(y,z) * z) / T(y,z)) = K(T(x,y),z). [para(3591(a,1),6027(a,1,2)),flip(a)]. 6043 K(T(x / (x / y),z),u) = K(T(y,z),T(u,y \ x)). [para(3586(a,1),6027(a,1,1)),flip(a)]. 6046 K(x * K(y,x),z) = K(x,T(z,y)). [para(4374(a,1),6027(a,1,1)),flip(a)]. 6047 K(x,y * K(z,y)) = K(T(x,z),y). [para(4374(a,1),6027(a,1,2)),flip(a)]. 6048 x * K(T(x,y),T(z,y)) = T(x,z). [para(6027(a,2),4396(a,2,2)),flip(a)]. 6049 T(x * K(T(y,z),x),z) = K(y,x) * T(x,z). [para(6027(a,1),4656(a,1,1)),flip(a)]. 6050 T(x,T(y,z)) * z = (x * z) * K(x,y). [para(6027(a,1),5138(a,1,2)),flip(a)]. 6051 K(T(x,y),z) * y = y * K(x,z). [para(6027(a,1),5345(a,1,2)),flip(a)]. 6052 K(x,T(y,z)) * (z * K(y,x)) = z. [para(6027(a,1),5360(a,1,2,2))]. 6053 (x * K(y,z)) / x = T(K(y,z),x). [para(6031(a,1),143(a,1,1,2))]. 6054 L(T(K(x,y),z),u,w) * z = z * L(K(x,y),u,w). [para(6031(a,1),159(a,1,2,1)),flip(a)]. 6055 L(T(K(x,y),z),u,w) \ (z * L(K(x,y),u,w)) = z. [para(6031(a,1),179(a,1,2,2,1))]. 6056 T(x,K(y,z)) * K(y,z) = K(y,z) * x. [para(6031(a,1),3703(a,1,2))]. 6057 K(x * y,y * K(y \ 1,x)) = K(y \ 1,T(x,y)). [hyper(4871,a,6022,a)]. 6058 R(T(K(x,T(y,z)),z * u),z,u) != w | (z * u) \ ((z * K(x,y)) * u) = w. [para(6022(a,1),721(a,1,1,1))]. 6059 T(x,T(y,z)) * (x \ z) = z * K(x,y). [hyper(4606,a,6024,a)]. 6060 K(x,T(y \ z,z)) = K(x,z / y). [hyper(21,a,5271,a,b,6024,a)]. 6061 T(x,T(y,z)) * z = x * (z * K(x,y)). [para(6024(a,1),4376(a,1,2)),flip(a)]. 6062 (x * K(y,z)) / (y \ x) != u | T(y,T(z,x)) = u. [para(6024(a,1),4555(a,1,1))]. 6063 K(x \ y,z) * y = y * K(y / x,z). [para(5340(a,1),6024(a,1,1))]. 6064 K(x \ (y * z),T(y,z)) = K((y * z) / x,y). [hyper(5499,a,6029,a)]. 6065 K(x / (x / y),z) = K(y,T(z,x)). [hyper(4628,a,6029,a),flip(a)]. 6067 K(x / (x / y),z) != u | K(y,T(z,x)) = u. [para(6029(a,1),4628(a,1))]. 6068 K(x / y,x / z) != u | K(y \ x,z \ x) = u. [para(6029(a,1),5325(a,1))]. 6070 K(x / y,y * K(z,u)) = K(y \ x,K(z,u) * y). [hyper(189,a,5336,a(flip),b,6033,a(flip))]. 6071 K(((x * y) * z) / (x * (y * z)),u) = K(a(x,y,z),T(u,x * (y * z))). [para(27(a,2),6033(a,1,1)),flip(a)]. 6073 R(x,y,z) \ R(x * K((u * w) / u,x),y,z) = K(w,T(R(x,y,z),u)). [hyper(189,a,4741,a,b,6034,a(flip)),flip(a)]. 6074 K(x * T(x \ y,y),z) = K(y,T(z,x \ y)). [para(1464(a,1),6034(a,1,1))]. 6075 K(x \ T(x * y,y),z) = K(y,T(z,x * y)). [para(3338(a,1),6034(a,1,1))]. 6076 ((x * y) / x) * K(y,T(z,x)) = T((x * y) / x,z). [para(6034(a,1),4396(a,2,2)),flip(a)]. 6077 K(R(x * K(y,x),z,u),w) = K(R(x,z,u),T(w,y)). [para(4489(a,2),6034(a,1,1))]. 6078 L(K(x,T(y \ z,u)),y \ z,y) = K((u * x) / u,(z \ y) \ 1). [para(6034(a,1),4928(a,1,1))]. 6079 K(x,T(T(y,z),z)) != u | K(x,y) = u. [para(6034(a,1),5415(a,1))]. 6080 K(R(T(x,y),z,u),y \ w) = K(R(x,z,u),w / y). [hyper(189,a,5393,a,b,6035,a(flip)),flip(a)]. 6081 K(x,(y * z) / y) != u | K(T(x,y),z) = u. [para(6036(a,2),5430(a,1))]. 6082 K(T(x \ 1,y),z \ (x * y)) = K(x \ 1,(x * y) / z). [hyper(5438,a,6039,a)]. 6083 K(T(x,x \ y),z \ (y * (x \ 1))) = K(x,(y * (x \ 1)) / z). [para(3619(a,1),6039(a,1,1))]. 6084 K(x,(x \ y) / z) != u | K(T(x,y),z \ (x \ y)) = u. [para(6039(a,1),5434(a,1))]. 6085 K(T(x,x \ y),((x \ 1) * y) \ z) = K(x,z / ((x \ 1) * y)). [para(3610(a,1),6041(a,1,1))]. 6088 K(T(x,y),T(z,R(x,u,w) * y)) = K(R(x,y,R(T(x,y),u,w)),z). [para(5811(a,1),6046(a,1,1)),flip(a)]. 6089 K(x,y * K(z * y,y)) = K(T(x,y * z),y). [para(4617(a,2),6047(a,1,2,2))]. 6090 T(x,T(y,z * K(u,z))) = T(x,y * K(T(y,u),z)). [para(6047(a,1),4734(a,1,2,2)),flip(a)]. 6091 x / (K(T(y,z),x) * K(x * K(z,x),z)) = T(x * K(z,x),y). [para(6047(a,1),4672(a,1,2,1))]. 6092 T(x,T(T(y,z),z)) = T(x,y). [hyper(5407,a,6048,a)]. 6093 T(x,y * K(z,y)) = T(x,T(y,z)). [para(4374(a,1),6092(a,1,2,1)),flip(a)]. 6094 T(T(x,y),T(z,y)) = K(x,y) * T(x,z). [para(6092(a,1),5425(a,1,2)),flip(a)]. 6095 K(x,T(y,z)) * (z * x) = z * T(x,y). [para(6092(a,1),5460(a,2,2))]. 6097 K(K(x,y) * z,u) * z = z * K(z * K(x,y),u). [para(5410(a,1),6051(a,1,1))]. 6098 T(K(x,y),z) != K(x,y) * u | K(z,K(x,y)) = u. [para(6053(a,1),4481(a,1))]. 6099 K(x / (x / y),T(z,u)) = K(y,T(T(z,x),u)). [para(41(a,1),6065(a,2,2))]. 6100 K(x \ y,T(z,y)) != u | K(y / x,z) = u. [para(5340(a,1),6079(a,1))]. 6101 K(T(x,y),T(z,y)) != u | K(x,z) = u. [para(5380(a,2),6079(a,1))]. 6102 K(x \ y,T(z,x)) != u | K(y / x,z) = u. [para(5394(a,1),6079(a,1))]. 6103 K(x,T(y,R(T(x,z),u,w))) != v5 | K(x,y) = v5. [para(5399(a,1),6079(a,1))]. 6104 K(x * y,T(z,y * x)) != u | K(x * y,z) = u. [para(5419(a,1),6079(a,1))]. 6105 K(R(T(x,y),z,u),T(w,y)) != v5 | K(R(x,z,u),w) = v5. [para(5393(a,2),6079(a,1))]. 6106 K(x / y,T(z,x)) != u | K(y \ x,z) = u. [para(6029(a,1),6079(a,1))]. 6107 K(T(x,y),T(T(z,y),u)) != w | K(x,T(z,u)) = w. [para(41(a,1),6101(a,1,2))]. 6108 K(L(T(x,y),z,u),T(w,y)) != v5 | K(L(x,z,u),w) = v5. [para(43(a,2),6101(a,1,1))]. 6109 K(T(x,y),L(T(z,y),u,w)) != v5 | K(x,L(z,u,w)) = v5. [para(43(a,2),6101(a,1,2))]. 6110 K(T(x,y),R(T(z,y),u,w)) != v5 | K(x,R(z,u,w)) = v5. [para(45(a,2),6101(a,1,2))]. 6111 K(T(x,y),y \ z) != u | K(x,z / y) = u. [para(115(a,1),6101(a,1,2))]. 6112 K(R(x \ y,z,u),T(w,x)) != v5 | K(R(y / x,z,u),w) = v5. [para(163(a,1),6101(a,1,1))]. 6113 K(T(x,y),z \ y) != u | K(x,y / z) = u. [para(5332(a,1),6101(a,1))]. 6114 K(x,((y * z) / y) \ 1) = T(K(x,z \ 1),y). [para(5261(a,1),6030(a,1,1)),flip(a)]. 6115 (K(x,y) * z) * K(y,x) = T(z,K(x,y)). [hyper(3929,a,6056,a)]. 6116 T(K(x,y) * z,K(y,u)) * K(y,u) = K(x,y) * (K(y,u) * z). [hyper(189,a,5830,a(flip),b,6056,a)]. 6117 T(T(x,K(y,z)),K(y,z)) = x. [hyper(147,a,6056,a,b,xx)]. 6118 T(x,K(y,z)) = T(x,K(z,y)). [hyper(21,a,3958,a,b,6056,a)]. 6120 T(x * K(y,z),u) / x = x \ T(K(y,z) * x,u). [para(6056(a,1),4170(a,1,2,1)),flip(a)]. 6121 T(x,K(y,z)) != u | T(x,K(z,y)) = u. [para(6117(a,1),4592(a,1,1)),flip(b)]. 6122 K(x,y) * (z * K(y,x)) = T(z,K(x,y)). [hyper(3951,a,6118,a)]. 6123 T(K(x,y) * z,K(y,x)) != u | z * K(x,y) = u. [para(6118(a,1),4237(a,1))]. 6124 L(T(x,y),z,u) * (L(x,z,u) \ x) = x * K(L(x,z,u),y). [para(3532(a,1),6059(a,1,1))]. 6125 T(x * y,z) * ((x * y) \ K(x,y)) = K(x,y) * K(x * y,z). [para(6019(a,1),6059(a,1,1))]. 6126 (x * y) * K(x,z) = x * (y * K(x,z)). [hyper(189,a,6050,a(flip),b,6061,a(flip)),flip(a)]. 6127 x * (y * K(x,T(y,z))) = T(x,T(y,z)) * y. [para(124(a,1),6061(a,1,1,2)),flip(a)]. 6129 K(x \ y,z) \ (y * K(y / x,z)) != u | u = y. [para(6063(a,1),237(a,1,2))]. 6130 K(x / y,z) * K(K(y \ x,z) * x,x) = x \ T(x * K(x / y,z),x). [para(6063(a,2),5198(a,2,2,1)),flip(a)]. 6131 (T(x * K(y \ x,z),x) / x) \ (x * K(x / y,z)) = L(x,K(y \ x,z),x). [para(6063(a,1),5774(a,1,2))]. 6132 x * (K(y,x) * T(y,z)) = T(y,T(z,x)) * x. [para(6094(a,1),158(a,1,2))]. 6133 (x * T(y,z)) / T(x,y) = T(y,T(z,x)). [hyper(76,a,6095,a(flip),b,4542,a(flip))]. 6134 T(K(x,y),z) * (z * x) = z * T(x,y). [para(5334(a,1),6095(a,1,1))]. 6135 T(x * T(y,z),K(y,z)) = K(y,z) * (x * y). [para(5158(a,1),6122(a,1,2)),flip(a)]. 6136 K(x,y) * (K(z,x) * (u * K(y,x))) = K(z,x) * T(u,K(x,y)). [para(6122(a,1),5830(a,2,2))]. 6140 R(x,y,K(x,z)) = x. [hyper(376,a,6126,a)]. 6141 K(x,(x \ y) \ z) = K(x,y \ (x * z)). [hyper(20,a,5926,a,b,6126,a)]. 6142 K(x,(x \ 1) \ y) = K(x,x * y). [hyper(20,a,5945,a(flip),b,6126,a)]. 6143 (x * y) * z != x * (y * K(x,u)) | K(x,u) = z. [para(6126(a,1),22(a,1)),flip(a)]. 6144 (x * (y * K(x,z))) * x = (x * y) * T(x,z). [para(6126(a,1),5132(a,1,1))]. 6145 R(T(x,y),z,K(x,u)) = T(x,y). [para(6140(a,1),45(a,2,1))]. 6146 R(R(x,y,z),u,K(x,w)) = R(x,y,z). [para(6140(a,1),49(a,1,1)),flip(a)]. 6147 (L(x,y,z) * u) * K(x,w) = L(x,y,z) * (u * K(x,w)). [para(6140(a,1),381(a,1,1,1)),flip(a)]. 6148 (R(x,y,z) * u) * K(x,w) = R(x,y,z) * (u * K(x,w)). [para(6140(a,1),382(a,1,1,1)),flip(a)]. 6149 R(x * y,K(x,z),K(y * K(x,z),x)) \ ((y * K(x,z)) * R(x,y,K(x,z))) = K(x,z) * K(y * K(x,z),R(x,y,K(x,z))). [para(6140(a,1),1782(a,1,1,3,2))]. 6150 R(x,y,K(T(x,z),u)) = x. [para(5380(a,2),6140(a,1,3))]. 6151 (x * y) * K(T(x,z),u) = x * (y * K(T(x,z),u)). [para(6150(a,1),110(a,1,1)),flip(a)]. 6153 T(x,y * K(x,z)) = T(x,y). [hyper(189,a,5239,a(flip),b,6145,a(flip))]. 6156 K(x,y * K(x,z)) = x \ T(x,y). [hyper(75,a,6153,a(flip),b,4396,a(flip)),flip(a)]. 6159 T(x,y * K(z,x)) = T(x,y). [para(3919(a,1),6153(a,1,2)),flip(a)]. 6161 T(x,K(x,y) * z) = T(x,z). [para(5345(a,1),6153(a,1,2))]. 6162 T(x,K(y,x) * z) = T(x,z). [para(5348(a,1),6153(a,1,2)),flip(a)]. 6164 T(x,y * (z * x)) = T(x,y * (x * z)). [para(5943(a,1),6153(a,1,2)),flip(a)]. 6165 K((x * K(y,z)) \ u,T(y,x)) = K(u / (x * K(y,z)),y). [para(6153(a,1),6033(a,1,2))]. 6166 T(x,y \ T(z,x)) = T(x,y \ z). [para(1077(a,1),6159(a,1,2))]. 6167 T((x \ y) * x,z * K(u,y)) = (x \ T(y,z)) * x. [para(6159(a,1),4153(a,2,1,2))]. 6168 T(x,T(y,x) * z) = T(x,y * z). [para(4754(a,1),6159(a,1,2))]. 6169 K(T(x,y),(y * K(z,x)) \ u) = K(x,u / (y * K(z,x))). [para(6159(a,1),6041(a,1,1))]. 6170 T(x,T(x,y) * z) = T(x,x * z). [para(4407(a,1),6161(a,1,2))]. 6172 T(x,y) * K(z,T(x,K(x,u) * y)) = T(x * K(z,x),K(x,u) * y). [para(6161(a,1),4653(a,1,1))]. 6173 L(x,y \ (K(z,y) * u),T(y,u)) = L(x,y \ (K(z,y) * u),y). [para(6162(a,1),4006(a,1,3))]. 6174 K(x,y * K(x,z)) = K(x,y). [hyper(189,a,4360,a,b,6156,a)]. 6175 K(x,y * K(x,z)) != u | K(x,y) = u. [para(6156(a,2),4413(a,1))]. 6176 K(x,y / K(z,x)) = K(x,y). [para(3890(a,2),6174(a,1,2))]. 6177 K(x,y * K(z,x)) = K(x,y). [para(3919(a,1),6174(a,1,2)),flip(a)]. 6178 K(x,y * T(z,x)) = K(x,y * z). [para(5158(a,1),6174(a,1,2)),flip(a)]. 6179 K(x,K(x,y) * z) = K(x,z). [para(5345(a,1),6174(a,1,2))]. 6180 x \ R(x,y * K(x,z),x) = K(x,y) * K(y * T(x,z),x). [para(6174(a,1),5149(a,1,1)),flip(a)]. 6182 K(x,y \ K(z,x)) = K(x,y \ 1). [hyper(189,a,4777,a(flip),b,6176,a(flip))]. 6183 K(x * K(y,z),z) = 1 / K(z,x). [para(6177(a,1),3875(a,1,2)),flip(a)]. 6184 R(K(x,y),(y * K(z,x)) * u,w) = K(x,R(y * K(z,x),u,w)). [para(6177(a,1),5683(a,1,1))]. 6185 T(K(x,y) * z,K(x,z)) = K(x,y) * z. [para(6179(a,1),2753(a,1,2))]. 6186 K(x,T(x,y) \ z) = K(x,x \ z). [para(4541(a,1),6179(a,1,2)),flip(a)]. 6187 K(x,K(K(x,y) * z,u)) = K(K(x,z),u). [para(6179(a,1),5954(a,1,1)),flip(a)]. 6188 T(x,y \ (z / x)) = T(x,y \ (x \ z)). [para(115(a,1),6166(a,1,2,2)),flip(a)]. 6190 (T(x,y) * z) \ ((x * y) * z) = R(T(y,x * z),T(x,y),z). [para(6168(a,1),734(a,1,1)),flip(a)]. 6191 K((T(x,y) * z) \ u,T(x,x * z)) = K(u / (T(x,y) * z),x). [para(6170(a,1),6033(a,1,2))]. 6192 (x * (y \ T(y * T(z,y),y))) \ (x * T(z,y)) = L(K(y,y * z),T(z,y),x). [para(6178(a,1),5923(a,2,1))]. 6193 K(x * K(y,z),z) = K(x,z). [hyper(189,a,3875,a(flip),b,6183,a)]. 6194 K(x * K(y,z),z) != u | K(x,z) = u. [para(6183(a,2),3880(a,1))]. 6195 K(x * T(y,z),z) = K(x * y,z). [para(1078(a,1),6193(a,1,1))]. 6197 K(x * K(y,z),y) = K(x,y). [para(3919(a,1),6193(a,1,1)),flip(a)]. 6199 K(x * T(y,z),y) = K(x * y,y). [para(5158(a,1),6193(a,1,1)),flip(a)]. 6200 K(x * K(y,T(z,u)),z) = K(x,z). [para(5337(a,1),6193(a,1,1,2))]. 6201 K(K(x,y) * z,x) = K(z,x). [para(5365(a,1),6193(a,1,1)),flip(a)]. 6202 K(K(x,y) \ z,x) = K(z,x). [para(5369(a,1),6193(a,1,1))]. 6203 K(K(x,y) * z,y) = K(z,y). [para(5370(a,1),6193(a,1,1))]. 6207 K(x * L(K(y,z),u,w),y) = K(x,y). [para(5886(a,1),6197(a,1,1,2))]. 6209 K(T(x,y) \ z,x) = K(x \ z,x). [para(4541(a,1),6201(a,1,1)),flip(a)]. 6211 K(R(K(x,y),z,u) * w,x) = K(w,x). [para(5668(a,1),6201(a,1,1,1))]. 6212 L(K(x,y),K(y,z) * x,u) = K(K(y,z) * x,y). [para(6201(a,1),5897(a,1,1))]. 6213 K(K(x,y) * z,x) != u | K(z,x) = u. [para(6202(a,1),4566(a,1))]. 6214 K(K(x,y) * z,T(y,u)) = K(z,T(y,u)). [para(5396(a,1),6203(a,1,1,1))]. 6215 K(x / y,(x / y) \ z) = K(x / y,(y \ x) \ z). [para(115(a,1),6186(a,1,2,1)),flip(a)]. 6217 K(x * K(y / z,u),y) = K(x * K(z \ y,u),y). [para(5210(a,1),6195(a,1,1,2)),flip(a)]. 6218 T(T(x * K(y * T(x,z),x),u),y) = R(T(x,u),y,x). [para(6199(a,2),4910(a,1,1,1,2))]. 6219 K(T(x,T(y,z)) * u,y) = K(x * u,y). [para(4754(a,1),6200(a,1,1))]. 6220 x * K(T(y,z) \ x,y) = (y \ x) * y. [para(6209(a,2),213(a,1,2))]. 6221 T(x * K(x \ y,x),z) \ y = y / T(x,z). [para(6209(a,1),4795(a,1,1,1,2))]. 6225 K(x,K(x,y) * z) != u | K(x,z) = u. [para(5345(a,1),6175(a,1,2))]. 6226 K(x,y / (x \ z)) != u | K(x,y / (z / x)) = u. [para(5447(a,1),6175(a,1,2))]. 6227 K(x \ T(y,z),z) != u | K(x \ y,z) = u. [para(1077(a,1),6194(a,1,1))]. 6230 K(x * (y * K(z,u)),z) = K(x * y,z). [para(102(a,1),6207(a,1,1))]. 6231 K(x * (y * K(z,u)),u) = K(x * y,u). [para(5921(a,1),6207(a,1,1)),flip(a)]. 6232 K((K(x,y) * z) * u,x) = K(z * u,x). [para(110(a,1),6211(a,1,1))]. 6233 K(R(K(x,y),z,u) * w,T(x,v5)) = K(w,T(x,v5)). [para(6027(a,1),6211(a,1,1,1,1))]. 6235 K((x \ y) \ z,x) != u | K((y / x) \ z,x) = u. [para(4707(a,1),6213(a,1,1))]. 6236 K(x,(x \ y) \ z) != u | K(x,(y / x) \ z) = u. [para(4707(a,1),6225(a,1,2))]. 6237 ((x / y) * T(y,z)) / (y \ x) = T(y,T(z,x / y)). [para(115(a,1),6133(a,1,2))]. 6238 (x * ((y \ z) \ z)) / T(x,y) = T(y,T(y \ z,x)). [para(114(a,1),6133(a,1,1,2))]. 6239 T(x,K(y,z)) * T(y,z) = K(y,z) * (x * y). [hyper(4008,a,6134,a),flip(a)]. 6240 L(K(x,y \ (x * (z \ u))),z \ u,z) = K(x,(z * (x \ y)) \ u). [para(6141(a,1),5914(a,1,1))]. 6241 K(x,K(K(x,y) * z,u)) = K(x,K(z,u)). [hyper(189,a,5954,a(flip),b,6187,a)]. 6242 K(T(x,y) \ K(z,x),T(x,y)) = K(T(x,y) \ 1,T(x,y)). [hyper(189,a,4257,a(flip),b,6214,a(flip)),flip(a)]. 6243 K(T(x,y) * z,T(x,u)) = K(x * z,T(x,u)). [para(4383(a,1),6214(a,1,1)),flip(a)]. 6244 K(T(x,y) \ z,T(y,u)) = K(x \ z,T(y,u)). [para(4541(a,1),6214(a,1,1)),flip(a)]. 6245 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(6219(a,1),4654(a,1,1,2))]. 6246 T(x,y) * T(T(x,y) \ z,x) = (x \ z) * x. [hyper(5174,a,6220,a)]. 6247 K(x * (K(y,z) * u),y) = K(x * u,y). [para(5345(a,1),6230(a,1,1,2))]. 6248 K(x * (y \ T(z,u)),u) = K(x * (y \ z),u). [para(1077(a,1),6231(a,1,1,2))]. 6250 K((x / (x / y)) * z,y) = K(y * z,y). [para(4345(a,1),6232(a,1,1,1)),flip(a)]. 6251 K(K(x,y) * z,K(x,u)) = K(x,K(z,u)). [hyper(5967,a,6241,a)]. 6252 K(L(x,y,z),u * (K(x,w) * v5)) = L(x,y,z) / L(x * K(u * v5,x),y,z). [para(6247(a,1),4739(a,1,2,1,2)),flip(a)]. 6253 K(x * (K(y,z) * u),R(y,w,v5)) = R(y,w,v5) \ R(y * K(x * u,y),w,v5). [para(6247(a,1),4741(a,1,2,1,2)),flip(a)]. 6255 K(K(x,y) * z,K(x,u)) = K(z,K(x,u)). [hyper(189,a,5966,a,b,6251,a)]. 6256 K(K(x,y) * z,K(y,u)) = K(z,K(y,u)). [para(3887(a,1),6255(a,1,1)),flip(a)]. 6257 R(x,K(y,z) * u,K(u,K(y,w))) = x. [para(6255(a,1),5156(a,1,3))]. 6259 K(x * K(y,z),K(y,u)) = K(x,K(y,u)). [para(6024(a,1),6255(a,1,1))]. 6260 (x * (K(y,z) * u)) * K(u,K(y,z)) = x * (u * K(y,z)). [para(6257(a,1),384(a,1,1)),flip(a)]. 6261 K(x,K(y,K(z,x) * u)) = K(u,K(x,y)). [hyper(6009,a,6256,a)]. 6262 K(K(x,y) * (K(y,z) * u),K(y,w)) = K(y,K(u,w)). [hyper(189,a,6251,a(flip),b,6256,a)]. 6263 K(x,K(y,K(z,x) * u)) = K(x,K(y,u)). [hyper(189,a,5969,a,b,6261,a)]. 6264 K(x,K(y,T(x,z) * u)) = K(x,K(y,x * u)). [para(4383(a,1),6263(a,1,2,2)),flip(a)]. 6266 K(x,K(x \ y,z)) != u | K(x,K(y,z)) = u. [para(5969(a,2),6011(a,1))]. 6267 K(x * K(y,x),z) != u | K(x,T(z,y)) = u. [para(4375(a,1),6038(a,1,1))]. 6268 K(T(x * K(y,x),z),u) != w | K(T(x,z),T(u,y)) = w. [para(4424(a,2),6038(a,1,1))]. 6270 ((x * ((y * z) / y)) / x) / ((x * z) / x) = K(T(y,x),z). [hyper(6081,a,4510,a(flip)),flip(a)]. 6271 K(x,y * K(z,y)) != u | K(T(x,z),y) = u. [para(4375(a,1),6081(a,1,2))]. 6272 K(x,T(y,z)) != u | K(z / (z / x),y) = u. [para(69(a,1),6100(a,1,1))]. 6273 K(x \ (K(y,z) * u),T(y,u)) != w | K((K(y,z) * u) / x,y) = w. [para(6161(a,1),6100(a,1,2))]. 6275 K(T(x,y \ 1),(1 / y) \ z) != u | K(x,z / (1 / y)) = u. [para(2672(a,1),6111(a,1,1))]. 6276 K(T(x,y),(x \ y) \ z) != u | K(x,z / (x \ y)) = u. [para(5381(a,1),6111(a,1))]. 6277 K(x,T(y \ z,z)) != u | K(x,z / y) = u. [para(5380(a,1),6113(a,1))]. 6278 K(x \ (y \ (z * y)),y) != u | K(x \ z,y) = u. [para(35(a,1),6227(a,1,1,2))]. 6280 K(x,K(y,z)) * (z / K(x,y)) = K(y,x) * z. [para(3890(a,2),5980(a,1,2))]. 6281 K(x,K(y,z)) * (T(z,y) * K(x \ y,x)) = K(x \ y,x) * T(z,y). [para(6004(a,1),5980(a,1,1))]. 6282 K(x,K(y,z)) * (T(z,y) * u) = T(T(z,y),K(x,y)) * u. [para(3874(a,1),5985(a,1,1,2))]. 6284 T(x,K(y,z * x)) = T(x,K(y,x * z)). [hyper(5972,a,5997,a),flip(a)]. 6285 T(x,K(y,x * z)) * K(y,z * x) = K(y,z * x) * x. [para(6284(a,1),6056(a,1,1))]. 6286 K(x,R(y * K(z,y),u,w)) = K(x,R(T(y,z),u,w)). [para(4374(a,1),6037(a,1,2,1,1)),flip(a)]. 6287 L(K(T(x,y),T(z,y)),u,w) = K(L(x,u / T(x,y),w),z). [hyper(189,a,5540,a(flip),b,6040,a(flip)),flip(a)]. 6288 K(T(x,L(x,y,z) * u),T(w,u)) = K(L(x,u,L(x,y,z)),w). [para(1293(a,1),6040(a,1,1))]. 6289 K(T(x,T(y,z)),z) = K(T(x,y),z). [hyper(6081,a,6042,a)]. 6290 K(R(T(x,T(y,z)),u,w),z) = K(T(R(x,u,w),y),z). [para(45(a,2),6289(a,1,1))]. 6291 T((x * (y * K(T(z,u),y))) / x,u) = (x * (K(z,y) * T(y,u))) / x. [para(6049(a,1),330(a,1,1,2)),flip(a)]. 6292 K(K(x,y) * T(y,z),T(u,z)) = K(y * K(T(x,z),y),u). [para(6049(a,1),6027(a,1,1))]. 6293 T((x * K(y,x)) * K(T(T(z,u),y),x),u) = K(z,x * K(y,x)) * T(x * K(y,x),u). [para(6047(a,1),6049(a,1,1,2))]. 6294 K(x \ (y * z),T(y,z)) != u | K((x / z) \ y,y) = u. [para(6064(a,2),5764(a,1))]. 6295 K(T(x * K(y \ x,x),x),z) = K(x,T(z,T(y,x) \ x)). [para(5635(a,1),6074(a,1,1))]. 6296 T(x * y,y) / (T(x * y,y) / x) = x * K(y,T(x,x * y)). [para(6075(a,1),4318(a,2,2))]. 6297 K(T(x,y * z),z) = K(T(x,z * y),z). [hyper(6271,a,6089,a)]. 6298 K(R(T(x,y * z),u,w),z) = K(T(R(x,u,w),z * y),z). [para(45(a,2),6297(a,1,1))]. 6299 R(K(x,T(T(y,z),z * u)),z,u) = K(((z / x) * u) \ (z * u),y). [para(6099(a,1),5759(a,1,1))]. 6300 T(K(x,y \ 1),z) = K(x,y \ K(y,z)). [para(4497(a,1),6114(a,1,2)),flip(a)]. 6301 x * T(T(y,z),T(x,z)) = T(y,T(z,x)) * x. [para(6032(a,2),6132(a,1,2))]. 6302 K(K(x,y) * (z * x),u) != w | K(z * T(x,y),T(u,K(x,y))) = w. [para(6135(a,1),5488(a,1,1))]. 6303 (x * (y * T(x,z))) \ ((x * y) * T(x,z)) = a(x,y * K(x,z),x). [para(6144(a,1),5142(a,1,2))]. 6304 T(x / (x / y),z) \ x = x / T(y,z). [para(4318(a,2),6221(a,1,1,1))]. 6305 x / T(y \ x,z) = T(x / y,z) \ x. [para(4331(a,1),6221(a,1,1,1)),flip(a)]. 6307 x / (x / T(y,z)) = T(x / (x / y),z). [para(6304(a,1),67(a,1,2))]. 6308 T(x,y) / T(z * (x / z),u) = T(z * (x / z),u) \ T(x,y). [para(5665(a,1),6304(a,1,1,1)),flip(a)]. 6309 (T(x / y,z) \ x) \ x = T(y \ x,z). [para(6305(a,1),69(a,1,1))]. 6313 K(T(x / (x / y),z),u) != w | K(T(y,z),T(u,x)) = w. [para(6307(a,1),6067(a,1,1))]. 6314 (T(x,y) \ z) \ z = T((x \ z) \ z,y). [para(67(a,1),6309(a,1,1,1,1))]. 6316 T(T(x,y),x \ z) = (T(x,y) \ z) \ z. [hyper(189,a,221,a,b,6314,a),flip(a)]. 6318 K(T(T(x,y),x \ 1),z) != u | K(T(x,y),z) = u. [para(6316(a,2),2659(a,1,1))]. 6319 T(T(x,K(y,z)),T(y,z)) = T(x,y). [hyper(147,a,6239,a,b,4542,a(flip))]. 6321 T(T(x,K(y,z)),y) = T(x,T(y,z)). [para(6117(a,1),6319(a,1,1)),flip(a)]. 6322 T(x * K(y,x),T(y,z)) = T(x,K(y,z)). [hyper(4486,a,6321,a),flip(a)]. 6323 T(T(x,y),K(y,z)) = T(x,T(y,z)). [hyper(333,a,6321,a)]. 6325 T(x * K(y,x),T(y,z)) != u | T(x,K(y,z)) = u. [para(6321(a,1),4486(a,1))]. 6326 T(T(x,y),K(z,y)) = T(x,T(y,z)). [hyper(6121,a,6323,a)]. 6327 K(x,T(y,T(z,x))) = K(x,T(y,z)). [para(6323(a,1),5342(a,1,2))]. 6328 T(x,T(y,T(z,x))) = T(x,T(y,z)). [para(6323(a,1),5378(a,1,2))]. 6329 T(x,T(y,z / x)) = T(x,T(y,x \ z)). [para(115(a,1),6328(a,1,2,2)),flip(a)]. 6330 T(T(x,K(y,z)),y) != u | T(x,T(y,z)) = u. [para(6322(a,1),4486(a,1,1))]. 6331 T(T(x,y),K(y,z)) != u | T(x,T(y,z)) = u. [para(41(a,1),6330(a,1))]. 6332 K(T(x,y) \ z,T(y,x)) != u | K(z / x,y) = u. [para(6244(a,2),6102(a,1))]. 6333 (x \ (y * T(x,z))) * x = T(y,x) * T(x,z). [hyper(571,a,6246,a),flip(a)]. 6334 K(x,K(y,T(x,z) * u)) = K(x,K(y,u)). [hyper(189,a,5998,a(flip),b,6264,a)]. 6335 K(x,K(y,z)) * (T(x,u) * z) = T(T(x,u) * z,K(x,y)). [para(6334(a,1),5984(a,1,1))]. 6336 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(4923(a,1),6280(a,1,1,2))]. 6337 T(x * K(y,x),T(y,z)) * z = z * T(x,T(z,y)). [para(4374(a,1),6301(a,1,2,1)),flip(a)]. 6338 K(x,y) * T(K(x,y) \ z,y) = T(z,y). [hyper(5104,a,6333,a)]. 6339 x \ (y * T(x,z)) = T(y,x) * K(x,z). [hyper(21,a,5132,a,b,6333,a)]. 6341 K(x,y) * (z * T(z \ (K(x,y) \ u),y)) = T(u / z,y) * z. [para(6338(a,1),1160(a,1,1)),flip(a)]. 6342 T(K(x,y) * z,x) = K(x,y) * T(z,x). [para(6338(a,1),4968(a,1,2)),flip(a)]. 6344 T(x * K(y,z),y) = T(x,y) * K(y,z). [hyper(5145,a,6339,a)]. 6345 T(K(x,y) * (K(x,y) \ ((z \ 1) \ K(x,y))),x) = K(z,x) * ((z \ 1) \ K(x,y)). [hyper(189,a,4401,a,b,6342,a)]. 6346 x \ T(K(y,z) * (K(y,z) \ (x * u)),y) = (x \ K(y,z)) * T((x \ K(y,z)) \ u,y). [hyper(75,a,6342,a,b,826,a)]. 6348 T(K(x,y) * T(z,u),x) = K(x,y) * T(T(z,x),u). [para(41(a,1),6342(a,2,2))]. 6349 T(K(x,y) * K(z,u),x) != w | K(x,y) * K(z,T(u,x)) = w. [para(6342(a,2),5501(a,1))]. 6351 (T(x,y) / y) * T(y,z) = T(x * K(y,z),y). [hyper(189,a,5140,a,b,6344,a),flip(a)]. 6352 x \ T(x * K(y,z),y) = K(x,y) * K(y,z). [hyper(75,a,6344,a,b,4376,a)]. 6354 T((1 / ((x * y) \ x)) * K(y,z),y) = ((1 / ((x * y) \ x)) / y) * T(y,z). [para(5600(a,1),6351(a,1,1,1)),flip(a)]. 6355 x \ T(y * (x / y),y) = K(x,y) * K(y,y \ x). [para(3903(a,1),6352(a,1,2,1))]. 6356 T(K(x * y,x) * z,K(x,y)) = z * K(x * y,x). [hyper(6123,a,6018,a),flip(a)]. 6357 K(L(x,K(y,z),u),y) = K(K(y,z) * x,y). [hyper(189,a,5541,a(flip),b,6212,a(flip)),flip(a)]. 6358 K(L(x,K(y,z),u),y) = K(x,y). [hyper(189,a,6201,a(flip),b,6357,a)]. 6360 K((x * K(y,z)) \ u,y) = K(K(y,z) \ (x \ u),y). [para(183(a,1),6358(a,1,1))]. 6361 K(K(R(x,y,z),u) * w,T(x,v5)) = K(w,T(x,v5)). [para(5746(a,1),6233(a,1,1,1))]. 6362 K(x,(y / x) \ z) = K(x,y \ (x * z)). [hyper(6236,a,6141,a)]. 6363 K(x \ (y \ (z * y)),y) = K(x \ z,y). [hyper(6278,a,xx),flip(a)]. 6364 R((K(x,K(y,(y * x) * z)) * u) / (K(x,y) \ u),y * x,z) = ((y * x) * z) \ ((x * y) * z). [para(5962(a,2),4457(a,1,1))]. 6365 (x * K(y,z)) * T(K(z,y),u) = x * K(z,K(y,u)). [para(3919(a,1),5964(a,1,1)),flip(a)]. 6366 T(x,K(y,z)) * K(x \ y,x) = x * T(K(x \ y,x),z). [para(6002(a,1),4545(a,1,2)),flip(a)]. 6367 K(x * y,x) * K(x,K(y,z)) = K(x * y,T(x,z)). [hyper(1962,a,6014,a)]. 6368 L(T(K(x,y),z * (u * K(y,x))),u,z) = (z * u) / (z * (u * K(y,x))). [hyper(76,a,5921,a(flip),b,6054,a),flip(a)]. 6369 T(T(x,L(K(y,z),u,w)),L(K(y,z),u,w)) = x. [hyper(4023,a,6055,a)]. 6370 x * K(L(K(y,z),u,w),x) != v5 | T(x,L(K(y,z),u,w)) = v5. [para(6369(a,1),4486(a,1))]. 6371 K(x * y,y * K(y \ 1,x)) = K(y \ 1,x). [hyper(189,a,5343,a(flip),b,6057,a)]. 6372 K((x / y) \ 1,x * K(z,u)) = K(x \ y,K(z,u) * x). [hyper(189,a,4760,a,b,6070,a(flip)),flip(a)]. 6373 K(x,y) * T(y,T(z,x)) = T((x * y) / x,z). [hyper(5312,a,6076,a)]. 6374 K(x,y) * T((y * x) / y,z) = T(x,T(z,y)). [hyper(3907,a,6373,a)]. 6375 K(x,y) * T(x * K(y,x),z) = T(x,T(z,y)). [para(4375(a,1),6374(a,1,2,1))]. 6376 K(x,y) \ T(x,T(z,y)) = T(x * K(y,x),z). [hyper(80,a,6375,a)]. 6377 T(x,T((y * z) \ y,u)) = K(x,u) * T(x * K(u,x),z \ 1). [para(5472(a,1),6375(a,1,2)),flip(a)]. 6378 K(x,y) * T(x * K(y,x),z) != u | T(x,T(z,y)) = u. [para(6376(a,1),203(a,1,2)),flip(b)]. 6379 K(R(x / (x / y),z,u),w) = K(R(y,z,u),T(w,y \ x)). [para(4318(a,2),6077(a,1,1,1))]. 6380 K(R(x,y,z),T(u * w,w) / T(u,w)) = K(R(T(x,T(u,w)),y,z),R(w,u,w)). [para(3761(a,1),6080(a,1,2)),flip(a)]. 6381 K(T(x,y * K(z,y)),u) = u / T(u,x * K(T(x,z),y)). [para(6090(a,1),4356(a,2,2))]. 6382 K(x * K(y,z),(x / u) \ 1) = K(K(y,z) * x,x \ u). [hyper(21,a,4856,a,b,6097,a),flip(a)]. 6383 K(T(x,y),(x \ z) \ u) = K(T(x,y),z \ (x * u)). [hyper(20,a,5926,a,b,6151,a)]. 6384 T((x \ y) * x,z * K(u,y)) = T((x \ y) * x,z). [hyper(189,a,4153,a,b,6167,a)]. 6385 x * K(y / z,(z \ y) \ x) = (y / z) * (x / (y / z)). [para(6215(a,1),3903(a,1,2))]. 6386 x * (K(x / y,z) * K(x * K(y \ x,z),x)) = T(x * K(x / y,z),x). [para(6217(a,1),5248(a,1,2,2))]. 6387 (x * K(y,z)) / (y \ x) = T(y,T(z,x / y)). [para(5140(a,1),6237(a,1,1))]. 6388 T(x,T(y,z / x)) = T(x,T(y,z)). [hyper(6062,a,6387,a),flip(a)]. 6389 T(x,T(y,x \ z)) = T(x,T(y,z)). [hyper(189,a,6329,a(flip),b,6388,a(flip)),flip(a)]. 6390 T(x,T(y,z * x)) = T(x,T(y,z)). [para(18(a,1),6388(a,1,2,2)),flip(a)]. 6391 T(x \ y,T(z,y)) = T(x \ y,T(z,x)). [para(67(a,1),6388(a,1,2,2)),flip(a)]. 6392 T(x * y,T(z,y \ 1)) = T(x * y,T(z,x)). [para(5472(a,1),6389(a,1,2))]. 6393 T(x,T(y / (z * x),z)) = T(x,(z * x) \ y). [para(115(a,1),6390(a,1,2)),flip(a)]. 6394 T(x / y,T(x,y)) = T(x / y,x). [para(3780(a,1),6390(a,1,2)),flip(a)]. 6395 T(x * K(y,x),T(y * x,y)) = T((y * x) / y,y * x). [hyper(4893,a,6394,a)]. 6396 T(x \ y,T(y,x)) = T(x \ y,y). [para(112(a,1),6391(a,1,2)),flip(a)]. 6397 R(x \ y,z,u) \ R(T(x \ y,y),z,u) = K(R(x \ y,z,u),T(y,x)). [para(6396(a,1),4398(a,1,2,1))]. 6398 K(((x * y) \ (z * y)) \ 1,T(x,z)) = (x * y) \ ((z * T(z \ x,x)) * y). [para(6396(a,1),4752(a,1,2,1,2)),flip(a)]. 6399 (T(x,T(x \ y,z)) * z) \ (z * ((x \ y) \ y)) = K(z,x). [para(6238(a,1),5164(a,1,1,1))]. 6400 ((x * y) * z) / ((x * T(y,u)) * z) = K(u,R(T(y,x),x,z)). [hyper(189,a,5815,a,b,6286,a(flip)),flip(a)]. 6401 K(R(T(x,T(y,z)),u,w),z) = K(R(T(x,y),u,w),z). [para(45(a,2),6290(a,2,1))]. 6402 T(x * K(y,x),T(y,z)) = T(x * K(z,x),T(z,y)). [hyper(21,a,4423,a,b,6337,a)]. 6403 T(K(x,y) * T(y,z),x) = y * K(T(y,x),z). [hyper(189,a,4562,a(flip),b,6348,a)]. 6404 K(x * K(T(x,y),z),T(u,y)) = K(K(y,x) * T(x,z),u). [para(6403(a,1),6027(a,1,1))]. 6406 K((x * K(y,z)) \ u,y) = K(x \ u,y). [hyper(189,a,6202,a(flip),b,6360,a)]. 6408 K((x * K(y,z)) \ u,z) = K(x \ u,z). [para(3919(a,1),6406(a,1,1,1)),flip(a)]. 6409 K((K(x,y) * z) \ u,y) = K(z \ u,y). [para(5348(a,1),6406(a,1,1,1)),flip(a)]. 6410 K((x * K(y,z)) \ u,T(y,w)) = K(x \ u,T(y,w)). [para(6027(a,1),6406(a,1,1,1,2))]. 6411 K(x,(y * K(z,x)) \ u) = (w * K(y \ u,x)) \ w. [para(6408(a,1),3918(a,1,1,2)),flip(a)]. 6413 K((x * L(K(y,z),u,w)) \ v5,z) = K(x \ v5,z). [para(4829(a,1),6408(a,1,1,1,2))]. 6414 K(T(x,T(y,z)) \ u,y) = K(x \ u,y). [para(5388(a,1),6408(a,1,1,1))]. 6415 K(x \ K(y,z),y) = K(x \ 1,y). [hyper(5469,a,6409,a)]. 6416 K(L(x \ y,x,K(z,u)),u) = K(x \ (K(z,u) * y),u). [para(104(a,2),6409(a,1,1))]. 6417 K(x \ L(K(y,z),u,w),y) = K(x \ 1,y). [para(5886(a,1),6415(a,1,1,2))]. 6418 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(6417(a,1),4738(a,1,1,1,2)),flip(a)]. 6419 K((x * (y * K(z,u))) \ w,z) = K((x * y) \ w,z). [para(5921(a,1),6413(a,1,1,1)),flip(a)]. 6420 T((x \ y) * x,z \ T(u,y)) = T((x \ y) * x,z \ u). [para(1077(a,1),6384(a,1,2))]. 6421 x * T(y * K(z,y),T(z,x)) = T(x,y) * T(y,T(x,z)). [para(6402(a,1),5377(a,1,2))]. 6422 K(x,(y * K(z,x)) \ u) = K(x,y \ u). [hyper(189,a,3918,a(flip),b,6411,a)]. 6423 K(x,(y * K(z,x)) \ u) != w | K(x,y \ u) = w. [para(6411(a,2),3922(a,1))]. 6424 K(x,(K(x,y) * z) \ u) = K(x,z \ u). [para(5365(a,1),6422(a,1,2,1)),flip(a)]. 6425 T(x,(K(x,y) * z) \ u) = x * K(x,z \ u). [para(6424(a,1),4396(a,2,2))]. 6426 T(x,(K(x,y) * z) \ u) = T(x,z \ u). [hyper(189,a,4396,a,b,6425,a)]. 6428 T(x,(K(y,x) * z) \ u) = T(x,z \ u). [para(3887(a,1),6426(a,1,2,1)),flip(a)]. 6430 K(T(x,y),(z * K(u,x)) \ w) != v5 | K(T(x,y),z \ w) = v5. [para(5396(a,1),6423(a,1,2,1,2))]. 6431 K(x,(y * (x \ z)) \ u) != w | K(x,(y * (z / x)) \ u) = w. [para(5453(a,1),6423(a,1,2,1))]. 6432 T(x,(y * (z * K(x,u))) \ w) = 1 / (x \ K((y * z) \ w,x)). [para(6419(a,1),4466(a,2,2,2))]. 6433 L(K(T(x,y),T(z,y)),u,w) = K(x,L(z,u / T(z,y),w)). [hyper(6109,a,5891,a),flip(a)]. 6434 R(T(x,y),z,T(x,u)) = R(T(x,y),z,x). [hyper(189,a,5057,a(flip),b,6218,a(flip)),flip(a)]. 6438 T(T(x,y) * z,T(x,y)) = z * R(T(x,y),z,x). [para(6434(a,1),3668(a,1,2)),flip(a)]. 6439 T(T(T(x,y),z) * T(y,x),T(T(x,y),z)) = T(y,x) * R(T(T(x,y),z),y,x). [para(3794(a,1),6438(a,2,2))]. 6440 K(T(x,y),y \ (x * z)) = K(x,z / (x \ y)). [hyper(6276,a,6383,a),flip(a)]. 6441 K(x,(x * y) / z) = K(x,y / (x \ z)). [hyper(6111,a,6440,a)]. 6442 K(x,y / (x \ z)) = K(x,(z / y) \ x). [hyper(5687,a,6441,a),flip(a)]. 6443 K(x,(x \ y) / (x \ z)) = K(x,y / z). [para(17(a,1),6441(a,1,2,1)),flip(a)]. 6444 K(x,((x * y) / z) \ x) = K(x,z / y). [para(16(a,1),6442(a,1,2,2)),flip(a)]. 6445 K(x,(x \ y) / (z / x)) = K(x,y / z). [hyper(6226,a,6443,a)]. 6446 K(x,((y \ (x * z)) \ (x * z)) \ x) = K(x,T(y \ (x * z),y) / z). [para(3585(a,1),6444(a,1,2,1))]. 6447 K(x,(T((x * y) / z,u) \ (x * y)) \ x) = K(x,T(z \ (x * y),u) / y). [para(6305(a,1),6444(a,1,2,1))]. 6448 K(x,(x \ y) / z) = K(x,y / (z * x)). [para(18(a,1),6445(a,1,2,2))]. 6449 K(T(x,y),z \ (x \ y)) = K(x,y / (z * x)). [hyper(6084,a,6448,a)]. 6450 (x * K(y,z / (u * y))) \ x = K((y \ z) / u,y). [para(6448(a,1),3918(a,1,1,2))]. 6451 K((x \ y) / z,x) != u | K(y / (z * x),x) = u. [para(6450(a,1),3922(a,1))]. 6452 K(T(x,y),T(z,x \ u)) = K(T(x,y),T(z,u)). [hyper(6313,a,6043,a),flip(a)]. 6453 K(T(x,y),T(z,x * u)) = K(T(x,y),T(z,u)). [para(16(a,1),6452(a,1,2,2)),flip(a)]. 6454 L(K(x,K(y,z)),u,w) = K(L(K(x,y),u,w),z). [para(4829(a,1),5959(a,1,1)),flip(a)]. 6455 R(K(x,K(y,z)),u,w) = K(R(K(x,y),u,w),z). [para(4820(a,1),5960(a,1,1)),flip(a)]. 6456 K(R(K(x,y),z,u),w) = K(y,R(K(x,w),z,u)). [para(4820(a,1),5981(a,1,2)),flip(a)]. 6457 R(K(x,K(y,z)),u,w) = K(y,R(K(x,z),u,w)). [hyper(189,a,6455,a,b,6456,a(flip)),flip(a)]. 6458 R(K(x,K(y,z)),u,w) = K(x,R(K(y,z),u,w)). [para(5966(a,1),6457(a,1,1))]. 6459 R(K(x,K(y,z)),y,u) = K(x,K(y,z)). [para(3705(a,1),6458(a,2,2))]. 6460 R(K(x,K(y,z \ 1)),u,w) = K(x,K(y,R(z,u,w) \ 1)). [para(5667(a,1),6458(a,2,2))]. 6461 K(L(K(x,y),z,u),w) = K(y,L(K(x,w),z,u)). [para(4829(a,1),5982(a,1,2)),flip(a)]. 6462 K(T((x \ 1) \ 1,T(y,x)),z \ ((T(x,y) \ 1) * y)) = K((x \ 1) \ 1,((x \ 1) * T(y,x)) / z). [para(5148(a,2),6082(a,1,2,2))]. 6463 L(K(x,y),z,L(x,u,w)) = K(x,y). [hyper(5798,a,6147,a)]. 6464 K(L(x,y,L(x,z,u)),w) = K(x,w). [hyper(189,a,5541,a(flip),b,6463,a(flip)),flip(a)]. 6465 K(L(x,y,x),z) = K(x,z). [para(262(a,1),6464(a,1,1,3))]. 6466 K(R(x,y,x),z) = K(x,z). [para(4028(a,1),6465(a,1,1)),flip(a)]. 6467 K(x,y) * L(x,z,x) = L(T(x,y),z,x). [para(6465(a,1),4446(a,1,1))]. 6468 R(K(x,y),z,x) = K(x,y). [hyper(189,a,5749,a(flip),b,6466,a(flip)),flip(a)]. 6469 K((x \ y) \ T(y,x),z) = K(x,z). [para(3670(a,1),6466(a,1,1))]. 6470 K(x,R(y,z,y)) = 1 / K(y,x). [para(6466(a,1),3875(a,1,2)),flip(a)]. 6471 x * K(R(x,y,x),z) = T(x,z). [para(6466(a,2),4396(a,2,2)),flip(a)]. 6472 K(x,y) * R(x,z,x) = T(R(x,z,x),y). [para(6466(a,1),4403(a,2,1)),flip(a)]. 6474 R(K(x,y),z,x) = K(x,y * K(u,x)). [hyper(189,a,6177,a,b,6468,a)]. 6475 K(x,R(y,z,x)) = K(x,y). [hyper(189,a,5683,a(flip),b,6468,a(flip)),flip(a)]. 6476 (K(x,y) * z) * x = K(x,y) * (z * x). [para(6468(a,1),110(a,1,1)),flip(a)]. 6477 T(x,R(y,z,x)) = x * K(x,y). [para(6475(a,1),4396(a,2,2))]. 6478 (x * (K(y,x) * z)) * y = K(y,x) * ((x * z) * y). [para(6475(a,1),5038(a,1,1)),flip(a)]. 6479 K(x,R(y,z,y)) = K(x,y). [hyper(189,a,3875,a(flip),b,6470,a)]. 6480 K(x,R(y,z,y)) != u | K(x,y) = u. [para(6470(a,2),3880(a,1))]. 6481 K(x,R(T(y,z),u,y)) = K(x,T(y,z)). [para(6434(a,1),6479(a,1,2))]. 6482 T(x,R(y,z,x)) = T(x,y). [hyper(189,a,4396,a,b,6477,a)]. 6485 T(x,T(y / (z * x),z)) = T(x,z \ (y / x)). [para(519(a,1),6482(a,1,2))]. 6490 K(x,y * K(z,x)) != u | K(x,y) = u. [para(6474(a,1),273(a,1)),flip(b)]. 6491 K(x,T(R(y,z,y),u)) = K(x,T(y,u)). [para(45(a,1),6481(a,1,2))]. 6492 K(x,y * T(z,x)) != u | K(x,y * z) = u. [para(1078(a,1),6490(a,1,2))]. 6493 K(x,y \ T(z,x)) != u | K(x,y \ z) = u. [para(1077(a,1),6490(a,1,2))]. 6494 K(x,T(T(y,y * z),u)) = K(x,T(T(y,z),u)). [para(3609(a,1),6491(a,1,2,1)),flip(a)]. 6495 K(x,y) * L(T(y,x),z,y) = L(y,z,y). [hyper(3907,a,6467,a)]. 6496 K(x,y) * R(x,z,x) = R(T(x,y),z,x). [hyper(189,a,45,a,b,6472,a)]. 6497 L(x,y,K(x,z)) = x. [hyper(5798,a,6476,a)]. 6498 (K(x,y) * (z * x)) \ (K(x,y) * z) != u | L(x \ 1,x,K(x,y) * z) = u. [para(6476(a,1),310(a,1,1))]. 6499 K(x \ y,x) * ((z / (x \ y)) * (x \ y)) = T(z / (y / x),K(x,y)) * (x \ y). [para(6017(a,1),6476(a,1,1)),flip(a)]. 6500 L(R(x,y,z),u,K(x,w)) = R(x,y,z). [para(6497(a,1),47(a,1,1)),flip(a)]. 6501 L(L(x,y,z),u,K(x,w)) = L(x,y,z). [para(6497(a,1),48(a,1,1)),flip(a)]. 6502 (K(x,y) * z) * R(x,u,w) = K(x,y) * (z * R(x,u,w)). [para(6497(a,1),351(a,1,2,1))]. 6503 (K(x,y) * z) * L(x,u,w) = K(x,y) * (z * L(x,u,w)). [para(6497(a,1),352(a,1,2,1))]. 6504 L(K(x,y),z,K(x,u)) = K(x,y). [para(6497(a,1),5540(a,1,1)),flip(a)]. 6505 L(K(x,y),z,K(y,u)) = K(x,y). [para(6497(a,1),5891(a,1,2)),flip(a)]. 6506 L(T(K(x,y),z),u,K(x,w)) = T(K(x,y),z). [para(6504(a,1),43(a,2,1))]. 6507 L(R(K(x,y),z,u),w,K(x,v5)) = R(K(x,y),z,u). [para(6504(a,1),47(a,1,1)),flip(a)]. 6508 (K(x,y) * z) * K(x,u) = K(x,y) * (z * K(x,u)). [para(6504(a,1),102(a,1,2))]. 6509 (K(x,y) * z) * K(u,x) = K(x,y) * (z * K(u,x)). [para(6505(a,1),102(a,1,2))]. 6510 (K(x,y) * z) \ (K(x,y) * T(x * z,x)) = R(x,z,x). [hyper(189,a,3671,a,b,6500,a(flip)),flip(a)]. 6511 L(x,y,T(x,z)) = L(x,y,x). [hyper(5107,a,6501,a)]. 6512 L(x,y,K(z,x)) = x. [hyper(4042,a,6501,a)]. 6515 K(x,y) * (T(z,K(x,y)) * y) = (z * K(x,y)) * y. [para(6512(a,1),353(a,1,2)),flip(a)]. 6516 L(K(x,y),z,K(u,y)) = K(x,y). [para(6512(a,1),5891(a,1,2)),flip(a)]. 6518 L(T(x,y),z,T(x,u)) = T(L(x,z,x),y). [para(6511(a,1),43(a,2,1))]. 6520 L(x * K(y,x),z,x * K(y,x)) = L(x * K(y,x),z,x). [para(4374(a,1),6511(a,1,3)),flip(a)]. 6521 K(L(x,y,K(z,u)),u) = K(x,u). [hyper(189,a,5541,a(flip),b,6516,a(flip)),flip(a)]. 6522 (K(x,y) * z) * K(u,y) = K(x,y) * (z * K(u,y)). [para(6516(a,1),102(a,1,2))]. 6523 K(x \ (K(y,z) * u),z) = K(x \ u,z). [hyper(189,a,6416,a(flip),b,6521,a(flip)),flip(a)]. 6524 T(x,L(y,z,K(u,x))) = (K(y,x) / x) \ 1. [para(6521(a,1),4417(a,2,1,1))]. 6525 (x / L(T(y,z),u,y)) * K(y,z) = x / L(y,u,y). [para(6495(a,1),5840(a,1,2)),flip(a)]. 6526 R(x,y,x) * K(x,z) = R(T(x,z),y,x). [hyper(2657,a,6496,a)]. 6527 T(x,y) \ R(T(x,y),z,x) = x \ R(x,z,x). [hyper(75,a,6496,a(flip),b,4377,a)]. 6528 L(T(x,y),z,T(x,u)) = L(T(x,y),z,x). [hyper(189,a,43,a,b,6518,a)]. 6531 K(x \ (K(y,z) * u),y) = K(x \ u,y). [para(3887(a,1),6523(a,1,1,2)),flip(a)]. 6532 K(x \ ((y \ z) * y),y) = K(x \ z,y). [para(4291(a,1),6523(a,1,1,2))]. 6533 K(x \ (y / z),y / z) = K(x \ (z \ y),y / z). [para(4312(a,1),6523(a,1,1,2))]. 6535 K(x \ (y * z),z) = K(x \ (z * y),z). [para(4373(a,1),6523(a,1,1,2))]. 6536 K(x \ (T(y,z) \ u),y) = K(x \ (y \ u),y). [para(4558(a,1),6523(a,1,1,2))]. 6538 R(x,y,x) * (K(x,z) * u) = R(T(x,z),y,x) * u. [para(6526(a,1),3659(a,1,1)),flip(a)]. 6540 K(x \ (T(y,z) * (y \ u)),y) = K(x \ u,y). [para(4377(a,2),6531(a,1,1,2))]. 6541 K(x \ (K(y,z) * u),T(y,w)) = K(x \ u,T(y,w)). [para(6027(a,1),6531(a,1,1,2,1))]. 6542 K((x / y) \ z,T(z,y)) = K(x \ (y * z),z). [hyper(189,a,5617,a,b,6535,a),flip(a)]. 6543 T(K(x,y),K(x,z) * u) = T(K(x,y),u). [hyper(189,a,5036,a(flip),b,6506,a(flip)),flip(a)]. 6545 T(K(x,y),K(z,x) * u) = T(K(x,y),u). [para(3887(a,1),6543(a,1,2)),flip(a)]. 6546 T(K(x,y),z * K(u,x)) = T(K(x,y),z). [para(6052(a,1),6543(a,1,2)),flip(a)]. 6547 T(K(x,y),z * L(K(u,x),w,v5)) = T(K(x,y),z). [para(4829(a,1),6546(a,1,2,2))]. 6548 T(x,L(y,z,K(u,x))) = T(x,y). [hyper(189,a,4417,a,b,6524,a)]. 6549 T(x,(K(y,x) * z) \ (K(y,x) * u)) = T(x,z \ u). [para(104(a,1),6548(a,1,2))]. 6550 T(x,(y * x) \ z) = T(x,y \ (z / x)). [hyper(189,a,6393,a(flip),b,6485,a(flip)),flip(a)]. 6551 T(x,(y * x) \ z) = T(x,y \ (x \ z)). [hyper(189,a,6188,a(flip),b,6550,a)]. 6552 T(x,L(x \ y,x,z)) = T(x,z \ (x \ (z * y))). [para(104(a,2),6551(a,1,2))]. 6553 K(x,T(T(y,z),u * y)) = K(x,T(T(y,u),z)). [para(3511(a,1),6494(a,1,2))]. 6554 K(T(x,y),z \ (T(x,u) * (x \ w))) = T(x * K(z \ w,x),y) \ T(x,y). [para(6540(a,1),4660(a,1,1,1,2)),flip(a)]. 6555 K(x \ ((y \ x) * z),z) = K(y \ z,T(z,y \ x)). [para(67(a,1),6542(a,1,1,1)),flip(a)]. 6556 K(x * y,T(T(x,y),z)) = K(x * y,T(x,z)). [hyper(6104,a,6553,a),flip(a)]. 6557 K(x,T(T(y,z),u * y)) = K(x,T(T(y,z),u)). [para(41(a,1),6553(a,2,2))]. 6558 R(T(x,y),z,x) / T(T(x,z),y) = K(x * z,T(x,y)). [hyper(189,a,4938,a,b,6556,a(flip)),flip(a)]. 6559 K(x,T(T(y,z),u \ 1)) = K(x,T(T(y,z),u \ y)). [para(3692(a,1),6557(a,1,2)),flip(a)]. 6560 T(K(x,y),z * (u * K(w,x))) = T(K(x,y),z * u). [para(102(a,1),6547(a,1,2))]. 6561 T(K(x,y) * z,K(x,u)) = K(x,y) * T(z,K(x,u)). [hyper(147,a,6508,a,b,5829,a)]. 6563 T((K(x,y) * K(z,x)) \ (K(x,y) * (u * K(z,x))),K(x,y)) = R(T(u,K(x,y) * K(z,x)),K(x,y),K(z,x)). [para(6509(a,1),832(a,1,1,2))]. 6564 K(x,y) * (z * K((u * w) / u,x)) = (K(x,y) * z) * K(w,T(x,u)). [para(6034(a,1),6509(a,1,2)),flip(a)]. 6565 T(x * y,K(z,y)) = T(x,K(z,y)) * y. [hyper(5246,a,6515,a)]. 6566 T(x * (y \ z),K(y,y \ z)) = T(x,K(y,z)) * (y \ z). [para(6015(a,1),6565(a,2,1))]. 6567 K(x,y) * (K(z,x) * (u * K(y,x))) = T(K(z,x) * u,K(x,y)). [para(6522(a,1),6122(a,1,2))]. 6568 R(K(x \ (y \ z),z / y),z / y,y) = K(z / (x * y),z / y). [para(6533(a,1),5765(a,1,1))]. 6570 K(x \ (y * z),T(z,u)) = K(x \ (z * y),T(z,u)). [para(4373(a,1),6541(a,1,1,2)),flip(a)]. 6571 K(x \ (T(y,z) \ u),T(y,w)) = K(x \ (y \ u),T(y,w)). [para(4541(a,1),6541(a,1,1,2)),flip(a)]. 6572 T(x,y \ (K(z,x) * u)) = T(x,y \ u). [hyper(189,a,6428,a(flip),b,6549,a(flip)),flip(a)]. 6574 T(x,y \ (z * x)) = T(x,y \ (x * z)). [para(4373(a,1),6572(a,1,2,2))]. 6575 L(x,y,z) \ L(T(x,u \ (x * w)),y,z) = K(L(x,y,z),u \ (w * x)). [para(6574(a,1),4397(a,1,2,1))]. 6576 T(x * K(y,z),K(z,u)) = T(x,K(z,u)) * K(y,z). [hyper(4992,a,6561,a),flip(a)]. 6577 T(K(x,K(y,z)) * u,K(x,w)) = K(z,K(x,y)) * T(u,K(x,w)). [para(5969(a,1),6561(a,2,1))]. 6578 K(x \ (((y \ 1) \ 1) * z),T(z,u)) = K(x \ (z * y),T(z,u)). [hyper(189,a,5567,a(flip),b,6570,a)]. 6579 (K(x,y) * z) \ T(K(x,y) * (x * z),x) = R(x,z,x). [para(6342(a,2),6510(a,1,2))]. 6580 R(T(x,y),z,x) / T(T(x,y),z) = K(x * z,T(x,y)). [para(41(a,1),6558(a,1,2))]. 6581 (K(x,y) * z) \ T(T(x,y) * z,x) = R(x,z,x). [para(4407(a,1),6579(a,1,2,1))]. 6582 R(x,K(x,y) * z,x) = R(x,z,x). [hyper(4546,a,6581,a)]. 6583 R(x \ y,(y / x) \ z,x \ y) = R(x \ y,(x \ y) \ z,x \ y). [para(4308(a,1),6582(a,1,2))]. 6584 K(x * y,T(T(y,z),x)) = K(y * x,T(y,z)). [hyper(189,a,4958,a(flip),b,6580,a(flip)),flip(a)]. 6585 K(x * y,T(T(y,x),z)) = K(y * x,T(y,z)). [para(41(a,1),6584(a,1,2))]. 6586 K(x * (y / (y / z)),T(T(y / (y / z),x),z \ y)) = K((y / (y / z)) * x,z). [para(3573(a,1),6585(a,2,2))]. 6587 L(K(x,y),z,R(x,u,w)) = K(x,y). [hyper(5798,a,6148,a)]. 6588 K(L(x,y,R(x,z,u)),w) = K(x,w). [hyper(189,a,5541,a(flip),b,6587,a(flip)),flip(a)]. 6589 K(x \ y,T(z,x)) = K(y / (x * K(z,u)),z). [hyper(189,a,6410,a(flip),b,6165,a(flip)),flip(a)]. 6590 K(x / (y * K(z,u)),z) = K(x / y,z). [hyper(6102,a,6589,a),flip(a)]. 6592 K(x / (K(y,z) * u),z) = K(x / u,z). [para(5348(a,1),6590(a,1,1,2)),flip(a)]. 6593 T(x,y / (K(z,x) * u)) = 1 / (x \ K(y / u,x)). [para(6592(a,1),4466(a,2,2,2))]. 6594 T(x,y / (K(z,x) * u)) = T(x,y / u). [hyper(189,a,4466,a,b,6593,a)]. 6595 T(x,((y * K(z,x)) * u) / u) = T(x,R(y,K(z,x),u)). [para(33(a,2),6594(a,1,2)),flip(a)]. 6596 T(x,R(y,K(z,x),u)) = T(x,y * K(z,x)). [para(18(a,1),6595(a,1,2)),flip(a)]. 6597 T(x,R(y,K(z,x),u)) = T(x,y). [hyper(189,a,6159,a(flip),b,6596,a)]. 6600 K(x,R(y,K(z,x),u)) = x \ T(x,y). [hyper(75,a,6597,a(flip),b,4396,a(flip)),flip(a)]. 6601 K(x,R(y,K(z,x),u)) = K(x,y). [hyper(189,a,4360,a,b,6600,a)]. 6602 K(x,R(R(y,K(z,x),u),w,v5)) = K(x,R(y,w,v5)). [para(49(a,1),6601(a,1,2))]. 6603 R(K(x,y),(y * K(z,x)) * u,w) = K(x,R(R(y,K(z,x),u),K(z,x) * u,w)). [para(6601(a,1),5684(a,1,1))]. 6604 K(T(x,y) \ K(z,x),T(x,y)) = K(x \ 1,x). [hyper(189,a,2909,a(flip),b,6242,a)]. 6606 (T(x,y) \ K(z,x)) * T(x,y) = K(z,x) * K(x \ 1,x). [para(6604(a,1),213(a,1,2)),flip(a)]. 6607 (x * (K(y,z) * u)) * K(y,K(z,u)) = x * (u * K(y,z)). [para(5969(a,2),6260(a,1,2))]. 6608 ((x * (y * K(z,y))) / x) / ((x * y) / x) = K(T(z,x),y). [para(4375(a,1),6270(a,1,1,1,2))]. 6609 K(x,K(y,z)) * (T(z,y) * u) = T(z,T(y,x)) * u. [para(6326(a,1),6282(a,2,1))]. 6610 K(L(x,y / T(x,z),u),w) = L(K(x,w),y,u). [para(6027(a,1),6287(a,1,1)),flip(a)]. 6611 L(K(x,y),z * K(u,x),w) = L(K(x,y),z,w). [hyper(189,a,5545,a,b,6610,a(flip)),flip(a)]. 6612 L(K(x,y),T(z,x),u) = L(K(x,y),z,u). [hyper(189,a,5542,a(flip),b,6610,a(flip)),flip(a)]. 6613 L(K(x,y),x * z,u) = K(L(x,z,u),y). [para(129(a,1),6610(a,1,1,2)),flip(a)]. 6614 K(L(x,x \ y,z),u) = L(K(x,u),y,z). [para(174(a,1),6610(a,1,1,2))]. 6617 K(L(x,y,z),x * y) = K(x,x * y). [hyper(5327,a,6613,a),flip(a)]. 6618 K(L(x,y,z),(z \ u) \ (x * y)) = K(x,u \ (z * (x * y))). [hyper(189,a,5915,a(flip),b,6613,a(flip))]. 6619 K(L(x,T(x,y) \ 1,z),u) = L(K(x,u),K(y,x),z). [para(4358(a,2),6613(a,1,2)),flip(a)]. 6620 K(L(x,x \ 1,y),z) = K(x,z). [hyper(189,a,262,a(flip),b,6614,a)]. 6621 K(T(x,y),T(z,y)) = K(L(x,T(x,y) \ 1,u),z). [hyper(6108,a,6620,a),flip(a)]. 6623 L(K(x,y),z / K(x,y),u) \ (u * z) = T(u * (z * K(y,x)),L(K(x,y),z,u)). [para(6611(a,1),5823(a,1,2)),flip(a)]. 6624 K(L(x,T(x,y) \ 1,z),u) != w | K(x,u) = w. [para(6621(a,1),6101(a,1))]. 6625 L(K(x,y),K(z,x),u) = K(x,y). [hyper(6624,a,6619,a),flip(a)]. 6626 (x * K(y,z)) * K(z,u) = x * (K(y,z) * K(z,u)). [para(6625(a,1),102(a,1,2))]. 6627 (x * (K(y,z) * K(z,u))) * K(u,z) = x * K(y,z). [hyper(3929,a,6626,a)]. 6628 R(x,K(y,z),K(z,u)) = x. [hyper(376,a,6626,a)]. 6629 (x * K(y,z)) * K(z,u) = x * (K(z,u) * K(y,z)). [para(1959(a,2),6626(a,2,2))]. 6630 R(x,T(K(y,z),u),K(z,w)) = x. [para(1379(a,1),6628(a,1,2))]. 6631 R(x,L(K(y,z),u,w),K(z,v5)) = x. [para(4829(a,1),6628(a,1,2))]. 6632 R(x,T(K(y,z),u),T(K(z,w),v5)) = x. [para(4847(a,1),6630(a,1,3))]. 6633 (x * y) \ ((x * (y * K(z,u))) * K(u,w)) = L(K(z,u),y,x) * K(u,w). [para(6631(a,1),400(a,1,1))]. 6634 T(K(x,y),z) * T(K(y,u),K(x,y) * z) = z \ (K(y,u) * (K(x,y) * z)). [para(6632(a,1),730(a,1,1)),flip(a)]. 6635 x * T(K(y,z),u) != w | w * T(K(z,y),u) = x. [para(6632(a,1),5642(a,1)),flip(a)]. 6636 L(K(x,y),K(z,y),u) = K(x,y). [hyper(5928,a,6627,a)]. 6638 (x * (K(y,z) * K(u,y))) * K(z,y) = x * K(u,y). [para(1959(a,2),6627(a,1,1,2))]. 6639 (x * K(y,z)) * K(u,z) = x * (K(y,z) * K(u,z)). [para(6636(a,1),102(a,1,2))]. 6640 (x * K(y,z)) * (K(z,y) * K(u,y)) = x * K(u,y). [para(6636(a,1),3934(a,1,2)),flip(a)]. 6641 (x / (y * K(z,y))) * R(y * K(z,y),z,L(y,u,w)) = x * (K(y,z) * K(z * L(y,u,w),y)). [hyper(189,a,5864,a,b,6629,a(flip)),flip(a)]. 6642 (x * K(y,z)) * (K(y,u) * K(z,y)) = x * K(y,u). [para(3919(a,1),6629(a,1,1)),flip(a)]. 6643 (x / y) * (K(y,z) * K(u,y)) = (x / T(y,u)) * K(y,z). [para(5178(a,1),6629(a,1,1)),flip(a)]. 6644 (x * (K(y,z) * K(u,y))) * (K(z,y) * K(y,u)) = x. [hyper(21,a,6627,a,b,6638,a(flip)),flip(a)]. 6646 (x * K(y,z)) * K(z,u) != w | x * (K(z,u) * K(y,z)) = w. [para(6638(a,1),3921(a,1,1)),flip(b)]. 6647 (x * K(y,z)) * (K(u,y) * K(z,y)) = x * K(u,y). [para(3963(a,1),6640(a,1,2))]. 6648 (x * K(y,z)) \ (x * K(y,u)) = K(y,u) * K(z,y). [hyper(80,a,6642,a)]. 6649 L((K(x,y) * K(z,x)) \ 1,K(x,y) * K(z,x),u) = K(y,x) * K(x,z). [hyper(308,a,6644,a)]. 6650 x / (K(y,z) * K(z,u)) != w | x * (K(z,y) * K(u,z)) = w. [para(6644(a,1),248(a,1,1)),flip(b)]. 6651 ((x * K(y,z)) * K(u,y)) * K(z,y) = x * K(u,y). [hyper(189,a,6639,a,b,6647,a(flip)),flip(a)]. 6652 (K(x,y) * z) \ (z * K(x,u)) = K(x,u) * K(T(y,z),x). [para(5345(a,1),6648(a,1,1))]. 6653 (x * K(y,z)) * K(u,y) = (x * K(u,y)) * K(y,z). [hyper(3929,a,6651,a),flip(a)]. 6654 (x * K(y,z)) * K(u,y) = x * (K(y,z) * K(u,y)). [hyper(21,a,6638,a,b,6651,a)]. 6655 ((x * K(y,z)) * K(u,y)) * y = (x * K(u,y)) * T(y,z). [para(6651(a,1),5146(a,1,1)),flip(a)]. 6656 R(x,K(y,z),K(u,y)) = x. [hyper(376,a,6654,a)]. 6657 ((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(2539(a,1),6654(a,1,1))]. 6658 K(K(x,y) * T(y,z),T(u,z)) = K(y,T(u,T(x,z))). [hyper(189,a,6046,a(flip),b,6292,a)]. 6659 K(K(x,y) * T(y,z),T(u,z)) != w | K(y,T(u,T(x,z))) = w. [para(6292(a,2),6267(a,1))]. 6660 K(T(x * K(y \ (z * x),x),x),u) = K(x,T(u,T(z \ y,x) \ x)). [para(5535(a,1),6295(a,1,1,1,2))]. 6661 K(R(T(x,y * z),u,w),z) = K(R(T(x,z * y),u,w),z). [para(45(a,2),6298(a,2,1))]. 6662 K(x,K(y,z)) * (T(y,u) * x) = T(T(y,u) * x,K(y,z)). [para(5969(a,1),6335(a,1,1))]. 6663 T(x,K(y,x \ z)) = T(x,K(z,y)). [hyper(21,a,5993,a,b,6366,a),flip(a)]. 6664 T(x,K(y,x \ z)) = T(x,K(y,z)). [hyper(189,a,6118,a,b,6663,a)]. 6665 T(x,K(y,x \ z)) != u | T(x,K(y,z)) = u. [para(6663(a,2),6121(a,1))]. 6666 T(x,K(y,x * z)) = T(x,K(y,z)). [para(16(a,1),6664(a,1,2,2)),flip(a)]. 6667 T(x,K(y,x * z)) = T(x,K(z,y)). [hyper(189,a,6118,a,b,6666,a)]. 6668 T(x,K(y,z)) * K(y,z * x) = K(y,z * x) * x. [para(6666(a,1),6285(a,1,1))]. 6669 T(x,K(y,z * x)) = T(x,K(z,y)). [hyper(189,a,6284,a,b,6667,a(flip)),flip(a)]. 6670 T(T(x,y),K(z,x * u)) = T(T(x,K(u,z)),y). [para(6667(a,1),41(a,1,1)),flip(a)]. 6671 K(x * y,T(y,K(x,z))) = K(x * y,y). [para(6669(a,1),5342(a,1,2))]. 6672 K(x * R(y,z,u),R(T(y,K(x,w)),z,u)) = K(x * R(y,z,u),R(y,z,u)). [para(45(a,2),6671(a,1,2))]. 6673 K(R(x,y / x,z),T(u,x \ y)) = K((y * z) / ((y / x) * z),u). [para(111(a,1),6379(a,1,1)),flip(a)]. 6674 K(T(x,y * K(z,y)),u) = K(x * K(T(x,z),y),u). [hyper(189,a,4356,a,b,6381,a)]. 6675 K(T(x * K(x * y,x),z * K(y * x,z)),u) = K((x * K(x * y,x)) * K(x,z),u). [para(4620(a,1),6674(a,2,1,2,1))]. 6676 K(T(x,y * K(z * x,y)),u) = K(x * K(T(x,z),y),u). [para(5384(a,1),6674(a,2,1,2))]. 6677 K(K(x,y) * z,z \ x) = K(z,z \ T(x,y)). [hyper(189,a,5862,a(flip),b,6382,a(flip))]. 6678 (K(x,y) * z) * K(z,z \ T(x,y)) = T(K(x,y) * z,z \ x). [para(6677(a,1),4396(a,2,2)),flip(a)]. 6679 (((x * (y * x)) / x) / y) * (z / (((x * (y * x)) / x) / y)) = z * K(((x * (y * x)) / x) / y,T(x,y * x) \ z). [para(1473(a,1),6385(a,1,2,2,1)),flip(a)]. 6680 T(x * K(y,x),T(y * x,y)) = L(x,y,x). [hyper(189,a,3597,a(flip),b,6395,a)]. 6681 T(x * K(y,x),T(x * y,y)) = L(x,y,x). [hyper(189,a,5027,a(flip),b,6680,a(flip)),flip(a)]. 6682 K(x,y) * T(x * K(z,x),T(z,y)) = T(x,T(y,z)). [hyper(4586,a,6421,a(flip))]. 6683 x * (T(y,T(z,x)) * K(z,y)) = T(x,y) * T(y,T(x,z)). [para(5354(a,1),6421(a,1,2))]. 6684 K(x,y) * T(x * K(z \ y,x),T(z \ y,y)) = T(x,z * ((y * (z \ y)) / y)). [para(3330(a,2),6682(a,2,2))]. 6685 K(x,y) * T(x,K(z,y)) = T(x,T(y,z)). [para(6322(a,1),6682(a,1,2))]. 6686 K(x,L(y,z / T(y,u),w)) = L(K(x,y),z,w). [para(6027(a,1),6433(a,1,1)),flip(a)]. 6687 L(K(x,y),y * z,u) = K(x,L(y,z,u)). [para(129(a,1),6686(a,1,2,2)),flip(a)]. 6689 K(x * y,L(x,y,z)) = K(x * y,x). [hyper(5898,a,6687,a),flip(a)]. 6690 (x * (y * z)) * K(u,L(y,z,x)) = x * ((y * z) * K(u,y)). [para(6687(a,1),102(a,1,2))]. 6691 R(K(x,y),z,R(x,u,w)) = K(x,y). [hyper(376,a,6502,a)]. 6692 K(x,y) * ((y * x) * R(x,z,u)) = (x * y) * R(x,z,u). [para(4373(a,1),6502(a,1,1)),flip(a)]. 6693 (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(6502(a,1),4544(a,1,1,2))]. 6694 K(R(x,y,R(x,z,u)),w) = K(x,w). [hyper(189,a,5746,a(flip),b,6691,a(flip)),flip(a)]. 6695 K(x,y) * R(x,z,R(x,u,w)) = T(R(x,z,R(x,u,w)),y). [para(6694(a,1),4403(a,2,1)),flip(a)]. 6696 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(6694(a,1),4624(a,1,1,1)),flip(a)]. 6697 R(K(x,y),z,L(x,u,w)) = K(x,y). [hyper(376,a,6503,a)]. 6698 K(R(x,y,L(x,z,u)),w) = K(x,w). [hyper(189,a,5746,a(flip),b,6697,a(flip)),flip(a)]. 6699 K(T(x,y),T(z,y)) = K(R(x,u,L(T(x,y),w,v5)),z). [hyper(6105,a,6698,a),flip(a)]. 6700 K(x,y) * R(x,z,L(x,u,w)) = T(R(x,z,L(x,u,w)),y). [para(6698(a,1),4403(a,2,1)),flip(a)]. 6701 K(R(x,y,L(T(x,z),u,w)),v5) = K(x,v5). [hyper(6101,a,6699,a),flip(a)]. 6703 T(x,R(y,z,L(T(y,u),w,v5))) = (K(y,x) / x) \ 1. [para(6701(a,1),4417(a,2,1,1))]. 6704 T(x,R(y,z,L(T(y,u),w,v5))) = T(x,y). [hyper(189,a,4417,a,b,6703,a)]. 6705 T(x,R(y,z,y)) = T(x,y). [para(5291(a,1),6704(a,1,2,3))]. 6706 R(x,y,x) * T(z,x) = z * R(x,y,x). [para(6705(a,1),113(a,1,2))]. 6707 T(x,T(y,y \ z)) = T(x,T(y,z)). [para(3694(a,1),6705(a,1,2))]. 6708 T(x * K(y \ z,x),T(y \ z,y)) = T(x * K(y,x),T(y,z)). [hyper(189,a,6402,a,b,6707,a(flip)),flip(a)]. 6709 T(x,T(y,z \ 1)) = T(x,T(y,z \ y)). [para(3749(a,1),6707(a,1,2))]. 6710 R(x,y,x) * (x \ z) = (z / x) * R(x,y,x). [para(115(a,1),6706(a,1,2))]. 6712 (R(x,y,x) * (x \ z)) \ (z * R(x,y,x)) = x. [para(6710(a,2),1647(a,1,1))]. 6713 R(x,x \ y,x) * (x \ z) = (z / x) * ((x \ y) \ T(y,x)). [para(3670(a,1),6710(a,2,2))]. 6714 T(L(L(x * K(y,x),y,x),z,u) * y,x * K(y,x)) = L(x * K(y,x),z,u) * T(y,x). [para(6520(a,1),3850(a,1,1,1,1))]. 6715 T(x * (y \ z),K(y,z)) = T(x,K(y,z)) * (y \ z). [hyper(6016,a,6566,a)]. 6716 T(x * (y \ z),K(z,y)) = T(x,K(y,z)) * (y \ z). [hyper(6121,a,6715,a)]. 6717 T(x * (y \ z),K(z,y)) = T(x,K(z,y)) * (y \ z). [para(6118(a,1),6716(a,2,1))]. 6718 (T(x,y) \ K(z,x)) * T(x,y) = (T(x,z) \ 1) * x. [hyper(189,a,4633,a(flip),b,6606,a)]. 6719 T((T(x,y) \ K(z,x)) * T(x,y),T(x,u)) = (T(x,z) \ 1) * x. [hyper(4186,a,6718,a)]. 6720 K(T(x,y),z) * ((y * z) / y) = (y * (z * K(x,z))) / y. [para(6608(a,1),19(a,1,1))]. 6721 K(T(x,y),z) * (z * K(y,z)) = (y * (z * K(x,z))) / y. [para(6608(a,1),4664(a,1,1))]. 6722 (x / y) * (K(y,z) * K(u,y)) = x / (T(y,u) * K(z,y)). [hyper(189,a,5522,a,b,6643,a)]. 6723 (K(x,y) * z) \ (z * K(x,u)) = K(x,u) * K(y,T(x,z)). [hyper(189,a,5390,a(flip),b,6652,a)]. 6724 (x * K(y,z)) * (y * K(u,y)) = (x * K(u,y)) * T(y,z). [hyper(5292,a,6655,a)]. 6725 T(T(x,y) * z,K(x,u)) = T(x,y) * T(z,K(x,u)). [hyper(189,a,5461,a(flip),b,6662,a(flip))]. 6726 T(x,y) * T(z,K(x,y)) = (x * z) * K(x,y). [hyper(4806,a,6725,a),flip(a)]. 6727 T(x * y,K(x,z)) = x * T(y,K(x,z)). [hyper(147,a,6726,a(flip),b,4407,a)]. 6729 K(x,y) * ((y * R(x,z,u)) * x) = (x * y) * R(x,z,u). [para(1643(a,2),6692(a,1,2))]. 6730 K(x,y) * R(x,z,R(x,u,w)) = R(T(x,y),z,R(x,u,w)). [hyper(189,a,45,a,b,6695,a)]. 6731 K(x,y) * R(x,z,L(x,u,w)) != v5 | R(T(x,y),z,L(x,u,w)) = v5. [para(6700(a,2),5484(a,1))]. 6732 ((x * y) / x) / ((x * (y * K(z,y))) / x) = K(y,T(z,x)). [para(6720(a,1),3905(a,1,2))]. 6733 ((x * y) / x) / ((x * (y * K(z,y))) / x) != u | K(y,T(z,x)) = u. [para(6720(a,1),3910(a,1,2))]. 6734 (x * K(y,x)) * K(T(z,y),x) = (y * (x * K(z,x))) / y. [hyper(189,a,3964,a(flip),b,6721,a(flip)),flip(a)]. 6735 (x / y) * (K(y,z) * K(y * z,y)) = x / L(y,z,y). [para(4627(a,1),6722(a,2,2))]. 6736 (K(x,y) * z) \ (K(x,u) * z) = K(x,T(u,z)) * K(y,T(x,z)). [para(5345(a,1),6723(a,1,2))]. 6737 (x * K(y,z)) * (y * K(u,y)) = x * (K(u,y) * T(y,z)). [hyper(189,a,5296,a(flip),b,6724,a)]. 6738 K(x,y) * (x \ R(x,z,R(x,u,w))) = x \ R(T(x,y),z,R(x,u,w)). [hyper(75,a,6730,a(flip),b,4552,a),flip(a)]. 6739 K(x,y) * ((y * R(x,z,R(x,u,w))) * x) = (y * R(T(x,y),z,R(x,u,w))) * x. [para(6730(a,1),6478(a,1,1,2)),flip(a)]. 6740 (x * K(y,z)) * (y * K(u,y)) = x * (T(y,z) * K(u,y)). [para(2759(a,2),6737(a,2,2))]. 6741 L(K(x,T(T(y,z),u * z)),z,u) = (u * (K(x,y) * z)) / (u * z). [para(5345(a,1),6025(a,1,1,2)),flip(a)]. 6742 L(T(x,y),z,u) \ (x * K(L(x,z,u),y)) = L(x,z,u) \ x. [hyper(80,a,6124,a)]. 6744 x \ R(x,y * K(x,z),x) = K(x,y) * K(y * x,x). [para(6199(a,1),6180(a,2,2))]. 6745 x \ R(x,y * K(x,z),x) = x \ R(x,y,x). [hyper(189,a,4696,a(flip),b,6744,a)]. 6747 T(K(T(x,y \ 1),(1 / y) \ 1),z) = K(x,K(1 / y,z) / (1 / y)). [hyper(6275,a,6300,a(flip)),flip(a)]. 6748 K(L(x,y,L(x,z,u)),T(w,L(x,z,u) * y)) = K(x,T(w,y)). [hyper(6107,a,6288,a),flip(a)]. 6749 R(K(x,y),z * y,u) = K(T(x,z),R(T(y,z),z,u)). [hyper(189,a,5676,a(flip),b,6400,a(flip)),flip(a)]. 6750 R(K(x,y),z * y,u) != w | K(x,R(y,z,u)) = w. [para(6749(a,2),6110(a,1))]. 6751 K(R(x,y,z),y) = K(x,R(y,x,z)). [hyper(6750,a,5746,a),flip(a)]. 6752 K(R(x,y,z),y) != u | K(x,R(y,x,z)) = u. [para(5746(a,1),6750(a,1))]. 6753 R(K(x,y),z * (y * K(u,x)),w) != v5 | K(x,R(y * K(u,x),z,w)) = v5. [para(6177(a,1),6750(a,1,1))]. 6754 x * K(R(x,y,z),y) = T(x,R(y,x,z)). [para(6751(a,2),4396(a,2,2)),flip(a)]. 6755 K(T(x,y),y \ z) = K(x,z / (y * K(u,x))). [hyper(6430,a,6169,a)]. 6756 K(x,y / (z * K(u,x))) = K(x,y / z). [hyper(6111,a,6755,a),flip(a)]. 6757 K(x,y / (z * x)) = K(x,y / (x * z)). [para(95(a,1),6756(a,1,2,2))]. 6758 K(x,y / ((z * y) * x)) = K(x,z \ (x \ 1)). [hyper(189,a,5699,a(flip),b,6757,a)]. 6759 K(x,R(y / x,x,z)) = K(x,(y * z) / (z * x)). [para(111(a,2),6757(a,2,2)),flip(a)]. 6760 K(x,y / (((x \ 1) * z) * x)) = K(x,y / L(z,x \ 1,x)). [para(166(a,1),6757(a,2,2,2))]. 6761 K(x,(y / z) \ (x \ 1)) = K(x,z / (y * x)). [para(19(a,1),6758(a,1,2,2,1)),flip(a)]. 6762 K(x,R(x \ y,x,z)) = K(x,(y * z) / (z * x)). [hyper(189,a,3893,a(flip),b,6759,a(flip)),flip(a)]. 6763 K(L(x,y * z,u),(u \ (u * (x * y))) \ (x * (y * z))) = K(x,L(L(z,y,x),x * y,u)). [para(348(a,1),6618(a,2,2))]. 6764 (x * K(y,z)) * K(u,y) != w | x * (K(y,z) * K(u,y)) = w. [para(6653(a,2),6646(a,1))]. 6765 K(x,L(y,z,x)) = K(x,y). [hyper(6143,a,6690,a),flip(a)]. 6767 K(x,L(L(y,z,x),u,w)) = K(x,L(y,u,w)). [para(48(a,1),6765(a,1,2))]. 6768 K(x,(x * y) \ z) = K(x,y \ (x \ z)). [para(183(a,1),6765(a,1,2))]. 6769 T(x,L(y,z,x)) = K(x,y) * x. [para(6765(a,1),4403(a,2,1))]. 6770 K(L(x,y,z),L(u,w,x)) = L(K(x,u),y * x,z). [para(6765(a,1),5541(a,1,1)),flip(a)]. 6771 T(x,L(y,z,x)) = T(x,y). [hyper(189,a,4403,a,b,6769,a)]. 6772 T(x,(x \ y) \ z) = T(x,y \ (x * z)). [para(359(a,1),6771(a,1,2)),flip(a)]. 6773 T(x,L(y \ 1,x * y,z)) = T(x,(z * (x * y)) \ (z * x)). [para(707(a,1),6771(a,1,2)),flip(a)]. 6774 K(x,K(y,y \ x) \ (x \ z)) = K(x,(y * (x / y)) \ z). [para(3903(a,1),6768(a,1,2,1)),flip(a)]. 6775 (x * ((y / z) / x)) * z = y * K(x,z \ (x \ y)). [para(6768(a,1),5451(a,2,2))]. 6776 L(K(x,y \ (x \ 1)),z,u) = K(x,L(x * y,z,u) \ 1). [para(6768(a,1),5885(a,1,1))]. 6777 T(x,(x \ y) \ z) = T(x,y \ (z * x)). [hyper(189,a,6574,a,b,6772,a)]. 6778 K(x,y) * K(x,K(y,z \ (u * y))) = K(x,T(y,(y \ z) \ u)). [para(6777(a,2),6012(a,2,2))]. 6779 K(L(x,y,z),L(u,w,x)) = K(L(x,y,z),u). [hyper(189,a,5541,a(flip),b,6770,a)]. 6780 K(L(x,y,z),(x \ u) \ w) = K(L(x,y,z),u \ (x * w)). [para(359(a,1),6779(a,1,2)),flip(a)]. 6781 x * K(y,z \ (y \ x)) = z * (y * ((z \ x) / y)). [hyper(189,a,4185,a(flip),b,6775,a(flip))]. 6782 x * (y * ((x \ 1) / y)) = K(y,x \ (y \ 1)). [hyper(74,a,4185,a(flip),b,6775,a(flip)),flip(a)]. 6783 (x * y) * (z * (((x * y) \ x) / z)) = x * K(z,y \ (z \ 1)). [para(6782(a,1),5662(a,2,2))]. 6784 x * (y * ((x \ z) / y)) != z * u | K(y,x \ (y \ z)) = u. [para(6781(a,1),22(a,1))]. 6785 (x * (y * ((x \ z) / y))) \ z = K(x \ (y \ z),y). [para(6781(a,1),3918(a,1,1))]. 6786 ((x * (y * z)) * (u * (L(L(z \ 1,z,y),y * z,x) / u))) \ (x * y) = K((x * (y * z)) \ (u \ (x * y)),u). [para(309(a,2),6785(a,1,1,2,2,1))]. 6787 ((x * (y * ((x \ 1) / y))) * L(K(x \ (y \ 1),y),z,u)) * ((x * (y * ((x \ 1) / y))) \ w) = w * L(w \ ((x * (y * ((x \ 1) / y))) \ w),z,u). [para(6785(a,1),1239(a,1,1,2,1))]. 6788 (x * (y * ((x \ 1) / y))) / ((L(x * (y * ((x \ 1) / y)),z,u) \ 1) * (x * (y * ((x \ 1) / y)))) = L(K(x \ (y \ 1),y) \ 1,z,u). [para(6785(a,1),5738(a,2,1,1))]. 6789 K(x,K(y \ x,y) * (x \ z)) = K(x,(y * (x / y)) \ z). [para(3889(a,1),6774(a,1,2))]. 6790 K(1 / x,L((1 / x) * y,z,u) \ 1) = L(K(1 / x,y \ x),z,u). [para(69(a,1),6776(a,1,1,2,2)),flip(a)]. 6791 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(5900(a,2),6780(a,2,2,2)),flip(a)]. 6792 K(x,(y * (x / y)) \ (z * x)) = K(x,K(y \ x,y) * T(z,x)). [para(35(a,2),6789(a,1,2,2)),flip(a)]. 6793 T(x,R(x,y,z) * u) \ (x * K(L(x,u,R(x,y,z)),u)) = L(x,u,R(x,y,z)) \ x. [para(1287(a,1),6742(a,1,1))]. 6794 K(x,T(y,L(x,z,u) * w)) = K(x,T(y,w)). [hyper(189,a,6464,a(flip),b,6748,a(flip)),flip(a)]. 6796 K(x,T(y,L(x,z,u) \ w)) = K(x,T(y,w)). [para(17(a,1),6794(a,1,2,2)),flip(a)]. 6797 T(x,L(y \ 1,x * y,z)) = T(x,(z * (x * y)) \ (x * z)). [hyper(189,a,6574,a(flip),b,6773,a)]. 6798 T(x,L(y \ 1,x * y,z)) = T(x,L(y,x,z) \ 1). [hyper(189,a,5474,a(flip),b,6773,a)]. 6799 T(x,L(y \ 1,x * y,z)) != u | T(x,y \ 1) = u. [para(6798(a,2),5940(a,1))]. 6800 T(x,(y * (x * z)) \ (x * y)) = T(x,z \ 1). [hyper(6799,a,6797,a),flip(a)]. 6801 T(x,((x \ y) * (x * z)) \ y) = T(x,z \ 1). [para(17(a,1),6800(a,1,2,2))]. 6802 T(x,((x \ y) * z) \ y) = T(x,(x \ z) \ 1). [para(17(a,1),6801(a,1,2,1,2))]. 6803 T(x,((x \ y) * z) \ y) = T(x,z \ x). [hyper(189,a,5471,a(flip),b,6802,a)]. 6804 T(x,(y * z) \ (x * y)) = T(x,z \ x). [para(16(a,1),6803(a,1,2,1,1))]. 6805 T(x,(y * z) \ (y * x)) = T(x,z \ x). [hyper(189,a,6574,a,b,6804,a(flip)),flip(a)]. 6806 T(x,(y \ z) \ x) = T(x,z \ (y * x)). [para(17(a,1),6805(a,1,2,1)),flip(a)]. 6807 K(x,T(y,z \ (u * y))) = K(x,T(y,z \ u)). [para(6806(a,1),5476(a,1,2))]. 6808 K(x,T(y,(y \ z) \ u)) = K(x,T(y,z \ u)). [para(6777(a,2),6807(a,1,2))]. 6809 K(x,T(y,(y \ z) \ u)) != K(x,y) * w | K(x,K(y,z \ u)) = w. [para(6808(a,2),6020(a,1))]. 6810 K(x,K(y,z)) * (L(K(x,u),w,v5) \ K(x,K(y,z))) = L(K(x,u),w,v5) \ 1. [hyper(5990,a,5938,a)]. 6811 K(x,K(y,z)) * (K(z,u) * w) = K(z,u) * (K(x,K(y,z)) * w). [para(5969(a,2),5988(a,2,2,1))]. 6812 K(T(x,y),z \ (y * (x \ 1))) = K(x,(y * (x \ 1)) / z). [hyper(5434,a,6083,a)]. 6813 K(T(x,y),((x \ 1) * y) \ z) = K(x,z / ((x \ 1) * y)). [hyper(5434,a,6085,a)]. 6814 K(T(x,y),L(T(z,y),y,x \ 1)) = K(x,((x \ 1) * (z * y)) / ((x \ 1) * y)). [para(154(a,1),6813(a,1,2))]. 6815 x / (K(T(y,z),x) * K(x,z)) = T(x * K(z,x),y). [para(4430(a,1),6091(a,1,2,2))]. 6816 T(x * K(y,x),z) \ x = K(T(z,y),x) * K(x,y). [para(6815(a,1),69(a,1,1))]. 6818 T((x * y) / x,z) \ y = K(T(z,x),y) * K(y,x). [para(4375(a,2),6816(a,1,1,1))]. 6819 T((x * y) / x,z) \ y = K(y,x) * K(T(z,x),y). [hyper(189,a,1959,a,b,6818,a)]. 6820 K(x,y) * K(T(L(x,z,u) * y,y),x) = L(x,y,L(x,z,u)) \ x. [para(1295(a,1),6819(a,1,1)),flip(a)]. 6821 (x * K(y * z,y)) * K(y,z) = K(y * z,y) * (K(y,z) * x). [para(6356(a,1),6116(a,1,1))]. 6822 T(x * y,z) * ((y * x) \ 1) = K(x,y) * K(x * y,z). [para(4704(a,1),6125(a,1,2))]. 6823 T(((x * y) * ((y * x) \ 1)) * (y * x),z) = (K(x,y) * K(x * y,z)) * (y * x). [para(6822(a,1),4177(a,2,1))]. 6824 L(x,T(y,z) \ u,T(y,u)) = L(x,y \ (K(z,y) * u),y). [para(4551(a,1),6173(a,1,2))]. 6825 L(x,T(y,z) \ u,T(y,u)) = L(x,T(y,z) \ u,y). [para(4551(a,1),6824(a,2,2))]. 6826 T(x,y) * ((T(x,y) \ y) * z) = y * L(z,T(x,y) \ y,x). [para(6825(a,1),344(a,1,2)),flip(a)]. 6827 T(x,y) * ((x \ T(y,x)) * z) = y * L(z,T(x,y) \ y,x). [para(3529(a,1),6826(a,1,2,1))]. 6828 T(x,y) * ((x \ T(y,x)) * z) = y * L(z,x \ T(y,x),x). [para(3529(a,1),6827(a,2,2,2))]. 6829 (x * L(y,z \ T(x,z),z)) \ (x * y) = a(T(z,x),T(z,x) \ x,y). [para(6828(a,1),3558(a,1,1))]. 6830 K((T(x,y) * z) \ u,T(x,z)) = K(u / (T(x,y) * z),x). [hyper(5499,a,6191,a)]. 6831 T(x * y,y) / (T(x * y,y) / x) = x * K(y,x). [para(3403(a,1),6296(a,2,2))]. 6832 T(x * K(y,x),T(x * y,y)) = L(x,y * K(x * y,y),x). [para(6831(a,1),4665(a,1,1))]. 6833 L(x,y * K(x * y,y),x) = L(x,y,x). [hyper(189,a,6681,a(flip),b,6832,a(flip))]. 6834 L(x,R(y,x,y),x) = L(x,y,x). [hyper(189,a,4625,a(flip),b,6833,a(flip)),flip(a)]. 6835 L(x,R(T(y,y * x),x,T(y,y * x)),x) = L(x,L(y,x,y),x). [hyper(189,a,3727,a(flip),b,6834,a)]. 6836 K((x / y) \ 1,x * K(y,z)) = T(x * (y / x),z) \ T(y,z). [hyper(189,a,5782,a,b,6308,a(flip)),flip(a)]. 6837 K(x,y) * (z * T(z \ (K(x,y) \ u),y)) = z * T(z \ u,y). [hyper(189,a,323,a(flip),b,6341,a)]. 6838 T(x,T((y * z) \ y,u)) = T(x,T(z \ 1,u)). [hyper(189,a,6375,a(flip),b,6377,a)]. 6839 T(x,T((y \ z) \ 1,u)) = T(x,T(z \ y,u)). [para(17(a,1),6838(a,1,2,1,1)),flip(a)]. 6840 T(x,y \ ((z \ u) \ y)) = T(x,T(u \ z,y)). [hyper(5512,a,6839,a)]. 6841 T(x,(y * (z * K(x,u))) \ w) = T(x,(y * z) \ w). [hyper(189,a,4466,a,b,6432,a)]. 6842 T(x,(y * (z * x)) \ u) = T(x,(y * (x * z)) \ u). [para(95(a,1),6841(a,1,2,1,2)),flip(a)]. 6843 T(K(x,y) * z,K(y,u)) = K(x,y) * T(z,K(y,u)). [hyper(189,a,6136,a(flip),b,6567,a(flip))]. 6844 T(x * K(y,z),K(y,u)) = T(x,K(y,u)) * K(y,z). [hyper(4992,a,6843,a),flip(a)]. 6845 T(x * K(y,z * x),K(y,z)) = K(y,z * x) * x. [hyper(189,a,6668,a(flip),b,6844,a)]. 6846 T(x * K(y,z),K(y,u)) \ T(x,K(y,u)) = K(z,y). [para(6844(a,2),3918(a,1,1))]. 6848 (x * K(y,z * x)) / T(T(K(y,z),x * K(y,z * x)),x * K(y,z * x)) = (K(y,z * x) * x) / T(K(y,z),x * K(y,z * x)). [para(6845(a,1),3547(a,1,1)),flip(a)]. 6849 T(K(x,K(y,z)) * u,K(y,w)) = K(x,K(y,z)) * T(u,K(y,w)). [para(5969(a,1),6577(a,1,1,1))]. 6850 K(x,y) * T(z,z \ T(x,y)) = T(K(x,y) * z,z \ x). [hyper(5189,a,6678,a)]. 6851 K(x,y) * T(K(y,x) * z,z \ y) = T(z,z \ T(y,x)). [hyper(3907,a,6850,a)]. 6852 T((T(x,y) \ 1) * x,T(x,z)) = (T(x,y) \ 1) * x. [para(6718(a,1),6719(a,1,1))]. 6853 K(x,(y * z) \ (x \ y)) = K(x,z \ (x \ 1)). [hyper(6784,a,6783,a)]. 6854 K(x,(y \ z) \ (x \ 1)) = K(x,z \ (x \ y)). [para(17(a,1),6853(a,1,2,1)),flip(a)]. 6855 K((x * y) \ (z \ x),z) = (u * K(z,y \ (z \ 1))) \ u. [para(6853(a,1),3918(a,1,1,2)),flip(a)]. 6856 K(1 / x,y \ ((1 / x) \ z)) = K(1 / x,(z \ y) \ x). [para(69(a,1),6854(a,1,2,2)),flip(a)]. 6857 K(x,(y / (y / z)) \ (x \ ((z \ y) * z))) = K(x,(y \ z) \ (x \ 1)). [para(4326(a,1),6854(a,1,2,1)),flip(a)]. 6858 K(L(x,y,z) \ 1,(u \ w) \ ((x \ 1) \ 1)) = L(K(x \ 1,w \ ((x \ 1) \ u)),y,z). [para(6854(a,1),4824(a,1,1)),flip(a)]. 6859 K((x * y) \ (z \ x),z) = K(y \ (z \ 1),z). [hyper(189,a,3918,a(flip),b,6855,a)]. 6860 K((x * (y * z)) \ (u \ (x * y)),u) = K(L(z,y,x) \ (u \ 1),u). [para(102(a,1),6859(a,1,1,1))]. 6861 K(1 / x,y \ ((1 / x) \ z)) != u | K(x \ 1,(z \ y) \ x) = u. [para(6856(a,2),4254(a,1))]. 6862 K(x,(y * (x / y)) \ (z * x)) != u | K(x,K(y \ x,y) * z) = u. [para(6792(a,2),6492(a,1))]. 6863 K(x,y) * (K(z,K(u,x)) * (K(x,y) \ w)) = K(z,K(u,x)) * w. [hyper(254,a,6811,a),flip(a)]. 6864 K(x * y,x) * (K(x,y) * z) = z * (K(x,y) * K(x * y,x)). [hyper(6646,a,6821,a),flip(a)]. 6865 L(x,L(y,x,y),x) = L(x,T(y,x),x). [para(3609(a,1),6835(a,1,2)),flip(a)]. 6866 L(x,L(y,x,y),x) = L(x,y,x). [hyper(189,a,3724,a(flip),b,6865,a)]. 6867 L(R(x,y,z),L(u,x,u),x) = R(L(x,u,x),y,z). [para(6866(a,1),47(a,1,1)),flip(a)]. 6868 L(R(x,y,z),L(u,x,u),x) = L(R(x,y,z),u,x). [hyper(189,a,47,a(flip),b,6867,a)]. 6869 K(L(R(x,y,z),L(u,x,u),x),x * L(u,x,u)) * ((x * (L(u,x,u) * R(x,y,z))) / (x * L(u,x,u))) = L(R(x,y,z),u,x). [hyper(189,a,4470,a,b,6868,a(flip)),flip(a)]. 6870 K((x / y) \ 1,x * K(y,z)) = K(x \ T(y,z),x). [hyper(189,a,4182,a(flip),b,6836,a)]. 6871 K(x \ y,K(y,z) * x) = K(x \ T(y,z),x). [hyper(189,a,6372,a(flip),b,6870,a(flip)),flip(a)]. 6872 K(x \ T(y,z),x) * (K(y,z) * (x * (x \ y))) = L(x \ y,x,K(y,z)) * (K(y,z) * x). [para(6871(a,1),5537(a,1,1))]. 6873 K(x,y) * (K(z,K(x,u)) * (K(x,y) \ w)) = K(u,K(z,x)) * w. [para(5969(a,2),6863(a,1,2,1))]. 6874 L(K(x,T(y \ z,u)),y \ z,y) = K(x,T((z \ y) \ 1,u)). [hyper(189,a,6034,a(flip),b,6078,a)]. 6875 K(x,T((y \ z) \ 1,u)) = K(x,T(z \ y,u)). [hyper(189,a,5515,a(flip),b,6874,a(flip))]. 6876 K(x,T(1 / (y \ z),u)) = K(x,T(z \ y,u)). [hyper(5329,a,6875,a)]. 6878 K(x,y \ ((z \ u) \ y)) = K(x,T(u \ z,y)). [hyper(189,a,5367,a(flip),b,6875,a(flip)),flip(a)]. 6879 K(R(x,y,R(T(x,y),z,u)),T(w,y)) = K(x,T(w,R(x,z,u) * y)). [hyper(6107,a,6088,a),flip(a)]. 6880 K(x \ y,T(z,y)) = K((K(z,u) * y) / x,z). [hyper(6273,a,6541,a),flip(a)]. 6881 K((K(x,y) * z) / u,x) = K(z / u,x). [hyper(6100,a,6880,a),flip(a)]. 6882 K((x * K(y,z)) / u,z) = K(x / u,z). [para(6052(a,1),6881(a,1,1,1)),flip(a)]. 6883 K(x,T((K(x,y) * z) / u,w)) = ((w * x) / w) / ((w * (x * K(z / u,x))) / w). [para(6881(a,1),6732(a,1,2,1,2,2)),flip(a)]. 6884 K((x * T(y,z)) / u,z) = K((x * y) / u,z). [para(1078(a,1),6882(a,1,1,1))]. 6885 K(x,(y * T(z,x)) / u) = (w * K((y * z) / u,x)) \ w. [para(6884(a,1),3918(a,1,1,2)),flip(a)]. 6886 K(x,(y * T(z,x)) / u) != w | K(x,(y * z) / u) = w. [para(6885(a,2),3922(a,1))]. 6887 T(R(K(x,T(y,z)),z,u) \ 1,z * u) = K(((z / x) * u) \ (z * u),y) \ 1. [para(6299(a,1),5351(a,1,1)),flip(a)]. 6888 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(6302,a,6361,a)]. 6889 a(x,y * K(x,z),x) != u | a(x,y,T(x,z)) = u. [para(6303(a,1),553(a,1))]. 6890 K(x / (y * z),x / z) = K(y \ (z \ x),x / z). [hyper(189,a,3831,a(flip),b,6568,a(flip))]. 6891 K((x * y) \ z,y \ z) = K(x \ (y \ z),z / y). [hyper(6068,a,6890,a)]. 6893 (x * K(y \ (z \ u),u / z)) \ x = K(z \ u,(y * z) \ u). [para(6891(a,1),3918(a,1,1,2))]. 6894 ((x \ y) \ K(z \ (x \ y),y / x)) \ ((x \ y) \ 1) = K(x \ y,(z * x) \ y). [para(6891(a,1),4605(a,1,1,2))]. 6895 K(x / y,z \ (y \ x)) = K(y \ x,(z * y) \ x). [hyper(3922,a,6893,a)]. 6896 R(x,y / x,z) \ R(T(x,T(u,x \ y)),y / x,z) = K((y * z) / ((y / x) * z),u). [hyper(189,a,4398,a,b,6673,a(flip)),flip(a)]. 6897 K(x,K(y,z \ (u * y))) = K(x,K(y,z \ u)). [hyper(6809,a,6778,a(flip)),flip(a)]. 6898 T(x * K(T(y,z),R(u,z,R(T(u,z),w,v5))),K(T(y,z),v6)) \ T(x,K(T(y,z),v6)) = K(u,T(y,R(u,w,v5) * z)). [hyper(189,a,6846,a,b,6879,a(flip)),flip(a)]. 6899 K(x \ y,(z \ 1) \ (z \ y)) = K((z \ x) \ (z \ y),y). [para(17(a,1),5948(a,1,2)),flip(a)]. 6900 K(x \ R(y,z,u),R((w \ 1) \ (w \ y),z,u)) = K((w \ x) \ (w \ R(y,z,u)),R(y,z,u)). [para(1715(a,2),6899(a,1,2))]. 6901 T(x * K(y,x),K(x,z) * u) = T(x,u) * K(y,T(x,u)). [para(6161(a,1),6172(a,1,2,2)),flip(a)]. 6902 T(x * K(y,x),K(x,z) * u) = T(x * K(y,x),u). [hyper(189,a,4653,a(flip),b,6901,a)]. 6904 T(x * K((K(x,y) * z) * R(x,u,w),x),z) = R(x,K(x,y) * z,R(x,u,w)). [hyper(189,a,4654,a(flip),b,6902,a(flip))]. 6905 T(x,T(y,z)) * K(z \ y,z) = K(z \ y,z) * T(x,y). [hyper(189,a,6609,a(flip),b,6281,a(flip)),flip(a)]. 6906 (K(x,y) * z) * K(u,T(x,w)) = K(x,y) * (z * K(u,T(x,w))). [para(6034(a,1),6564(a,1,2,2)),flip(a)]. 6907 R(x \ y,(x \ y) \ x,x \ y) = ((y / x) \ x) \ x. [hyper(189,a,4993,a(flip),b,6583,a(flip))]. 6908 K(x,K(1 / y,z) / (1 / y)) = T(K(T(x,y \ 1),y),z). [para(69(a,1),6747(a,1,1,2)),flip(a)]. 6909 K(x,K(1 / y,z) / (1 / y)) = T(K(x,y),z). [para(5386(a,1),6908(a,2,1))]. 6910 K(x,1 / (K(y,z \ 1) / z)) = T(K(x,z),y). [para(4677(a,1),6909(a,1,2))]. 6911 K(x,y * K(y \ 1,z)) = T(K(x,y),z). [hyper(189,a,4779,a(flip),b,6910,a(flip)),flip(a)]. 6912 K(x,y * K(y \ 1,z)) != u | K(x,T(y,z)) = u. [para(6911(a,2),5490(a,1))]. 6913 K(x * y,T(y,x)) = K(y \ 1,x). [hyper(6912,a,6371,a)]. 6914 K(x \ 1,y) = K(x * y,x). [hyper(3735,a,6913,a),flip(a)]. 6915 K(x \ 1,y) != z | K(y * x,x) = z. [para(6913(a,1),5280(a,1))]. 6916 K(x * K(y \ 1,z),y) = K(x,y). [para(6913(a,1),6200(a,1,1,2))]. 6917 K(x \ 1,y / x) = K(y,x). [hyper(189,a,4619,a(flip),b,6914,a)]. 6920 K(x,y / K(x \ 1,z)) = K(x,y). [para(6914(a,2),6176(a,1,2,2))]. 6922 L(x,y,K(x \ 1,z)) = x. [para(6914(a,2),6512(a,1,3))]. 6923 K(x,y / (z * K(x \ 1,u))) = K(x,y / z). [para(6914(a,2),6756(a,1,2,2,2))]. 6925 (K(x \ 1,y) * z) * x = K(x \ 1,y) * (z * x). [para(6922(a,1),102(a,1,2))]. 6926 L(x \ 1,y,K(x,z)) = x \ 1. [para(2648(a,1),6922(a,1,3))]. 6928 (K(x,y) * (z * x)) \ (K(x,y) * z) = L(x \ 1,x,z). [para(6926(a,1),707(a,1,1)),flip(a)]. 6932 K(x / T(y,z \ 1),z) = K(x / y,z). [para(5178(a,1),6916(a,1,1))]. 6933 K(K(x,y \ 1) * z,y) = K(z,y). [para(5348(a,1),6916(a,1,1)),flip(a)]. 6934 K(T(x,y \ 1) \ z,y) = K(x \ z,y). [para(5457(a,1),6916(a,1,1))]. 6935 K(x \ 1,y / K(x,z)) = K(x \ 1,y). [para(2648(a,1),6920(a,1,2,2))]. 6936 K(K(x \ 1,y) \ z,x) = K(z,x). [para(3889(a,2),6933(a,1,1))]. 6937 K(x \ T(y,z \ 1),z) = K(x \ y,z). [para(4757(a,1),6933(a,1,1))]. 6938 (K(x \ 1,y) \ z) * K(z,x) = T(K(x \ 1,y) \ z,x). [para(6936(a,1),4396(a,2,2)),flip(a)]. 6939 K(x / (y * (z \ 1)),z) = K(x / (z \ y),z). [para(4242(a,1),6932(a,1,1,2))]. 6940 K(x \ 1,y / T(z,x)) = K(x \ 1,y / z). [para(5177(a,1),6935(a,1,2)),flip(a)]. 6941 K(x \ (y * (z \ 1)),z) = K(x \ (z \ y),z). [para(4242(a,1),6937(a,1,1,2))]. 6942 K(x,y / ((z / (x \ 1)) * u)) = K(x,y / (((x \ 1) \ z) * u)). [para(5452(a,1),6923(a,1,2,2))]. 6943 K(R(x,y,x) \ 1,z) = K(x \ 1,z). [hyper(4939,a,6925,a)]. 6945 K(x \ 1,R(y,z,x)) = K(x \ 1,y). [hyper(189,a,5685,a(flip),b,6943,a(flip)),flip(a)]. 6946 K(x \ 1,(y * x) / (z * x)) = K(x \ 1,y / z). [para(111(a,1),6945(a,1,2))]. 6947 (K(x,y \ 1) * z) * K(z,y) = T(K(y \ 1,x) \ z,y). [para(3889(a,1),6938(a,1,1))]. 6948 T(K(x \ 1,y) \ z,x) = K(y,x \ 1) * T(z,x). [hyper(5189,a,6947,a),flip(a)]. 6949 T(K(x,y \ 1) * z,y) = K(x,y \ 1) * T(z,y). [para(3889(a,1),6948(a,1,1))]. 6950 T(x * K(y \ 1,z),y) = T(x,y) * K(y \ 1,z). [hyper(4992,a,6949,a),flip(a)]. 6952 T((x / y) * K(y \ 1,z),y) = (y \ x) * K(y \ 1,z). [para(115(a,1),6950(a,2,1))]. 6953 x \ (y * K(x \ 1,z)) = (x \ y) * K(x \ 1,z). [hyper(4966,a,6952,a)]. 6954 x * ((x \ y) * K(x \ 1,z)) = y * K(x \ 1,z). [para(6953(a,1),17(a,1,2))]. 6955 (x * y) * K(x \ 1,z) = x * (y * K(x \ 1,z)). [para(16(a,1),6954(a,1,2,1)),flip(a)]. 6956 K(L(x,y,x) \ 1,z) = K(x \ 1,z). [hyper(4941,a,6955,a)]. 6957 R(x,y,K(x \ 1,z)) = x. [hyper(376,a,6955,a)]. 6958 K(x \ 1,(x \ y) \ z) = K(x \ 1,y \ (x * z)). [hyper(20,a,5926,a,b,6955,a)]. 6961 R(x \ 1,y,K(x,z)) = x \ 1. [para(2648(a,1),6957(a,1,3))]. 6962 R(x,y,K(z,x)) = x. [para(6917(a,1),6957(a,1,3))]. 6965 (T(x,y) * z) * K(u,x) = T(x,y) * (z * K(u,x)). [para(6962(a,1),380(a,1,1,1)),flip(a)]. 6966 R(x,y,K(z,T(x,u))) = x. [para(5337(a,1),6962(a,1,3))]. 6967 (L(x,y,z) * u) * K(w,T(x,v5)) = L(x,y,z) * (u * K(w,T(x,v5))). [para(6966(a,1),381(a,1,1,1)),flip(a)]. 6968 ((x \ 1) * y) * K(x,z) = (x \ 1) * (y * K(x,z)). [para(6961(a,1),110(a,1,1)),flip(a)]. 6969 K(x,L(y,z,y) \ 1) = (u * K(y \ 1,x)) \ u. [para(6956(a,1),3918(a,1,1,2)),flip(a)]. 6970 K(x,L(y,z,y) \ 1) = K(x,y \ 1). [hyper(189,a,3918,a(flip),b,6969,a)]. 6972 K(x,L(1 / y,z,1 / y) \ 1) = K(x,(y \ ((1 / y) \ 1)) * T(y,1)). [para(3616(a,2),6970(a,2,2))]. 6974 L(K(x \ 1,y \ (x * (z \ u))),z \ u,z) = K(x \ 1,(z * (x \ y)) \ u). [para(6958(a,1),5914(a,1,1))]. 6975 L(K(x,y),z,T(y,u)) = K(x,y). [hyper(5798,a,6965,a)]. 6976 K(L(x,y,T(z,u)),z) = K(x,z). [hyper(189,a,6613,a(flip),b,6975,a(flip)),flip(a)]. 6977 K((T(x,y) * z) \ u,x) = K(z \ (T(x,y) \ u),x). [hyper(189,a,5528,a(flip),b,6975,a(flip)),flip(a)]. 6980 K(L(x,y,z),z) = K(x,z). [para(112(a,1),6976(a,1,1,3))]. 6981 K((x * ((T(y,z) * x) \ u)) / x,y) = K((T(y,z) \ u) / x,y). [para(675(a,1),6976(a,1,1))]. 6982 K((x * y) \ z,x) = K(y \ (x \ z),x). [para(183(a,1),6980(a,1,1))]. 6983 K(R(x,y,z),L(u,w,x)) = R(x * K(u,x),y,z) \ R(x,y,z). [para(6980(a,1),4743(a,1,1,1,2)),flip(a)]. 6984 K(x,T(y,L(z,u,x))) = K(x * K(z,x),y). [para(6980(a,1),6046(a,1,1,2)),flip(a)]. 6985 K((x \ y) \ (x \ z),x) = K(y \ z,x). [para(17(a,1),6982(a,1,1,1)),flip(a)]. 6986 K(T(x * K(y \ (x \ (z * x)),x),x),u) = K(x,T(u,T(z \ (x * y),x) \ x)). [para(6982(a,1),6660(a,1,1,1,2))]. 6987 K((x \ y) \ z,x) = K(y \ (z * x),x). [hyper(6278,a,6985,a)]. 6988 K(x \ (y * z),z) != u | K((z \ x) \ y,z) = u. [para(6985(a,1),6278(a,1))]. 6989 K((x / y) \ z,y) = K(x \ (z * y),y). [hyper(6235,a,6987,a)]. 6990 K((x * y) \ (z * y),y) = K(x \ z,y). [para(18(a,1),6989(a,1,1,1)),flip(a)]. 6991 K((x * y) \ z,y) = K(x \ (y \ z),y). [hyper(189,a,6532,a(flip),b,6990,a(flip)),flip(a)]. 6992 (x * K(y \ (z \ u),z)) \ x = K(z,(y * z) \ u). [para(6991(a,1),3918(a,1,1,2))]. 6993 (x * y) * T((x * y) \ z,y) = z * K(x \ (y \ z),y). [para(6991(a,1),5160(a,2,2))]. 6994 K((x * y) \ (z * y),y) != u | K(x \ z,y) = u. [para(6991(a,2),6278(a,1))]. 6995 K(x,T(y,L(z,u,x))) = K(x,T(y,z)). [hyper(189,a,6046,a(flip),b,6984,a)]. 6996 K(x,T(x * y,y * z)) = K(x,T(x * y,z)). [hyper(189,a,5591,a(flip),b,6995,a(flip)),flip(a)]. 6997 K(x,T(y,(x \ z) \ u)) = K(x,T(y,z \ (x * u))). [para(359(a,1),6995(a,1,2,2)),flip(a)]. 6999 K(x,T(x * y,y \ z)) = K(x,T(x * y,z)). [para(17(a,1),6996(a,1,2,2)),flip(a)]. 7000 K(x / y,T((x / y) * y,z)) = K(x / y,T(x,y \ z)). [para(19(a,1),6999(a,1,2,1)),flip(a)]. 7001 K(x \ (y * (z \ x)),z \ x) != u | K(z \ y,z \ x) = u. [para(17(a,1),6994(a,1,1,1))]. 7002 K(x,L(y,z,x \ 1)) = K(x,y). [hyper(20,a,6690,a,b,6968,a),flip(a)]. 7003 K(x,L((1 / x) * y,z,u)) = K(x,L(x \ y,z,u)). [para(2383(a,1),7002(a,1,2))]. 7004 K((T(x,y) * z) \ u,x) = K(z \ (x \ u),x). [hyper(189,a,6536,a(flip),b,6977,a)]. 7007 K(x,(y * x) \ z) != u | K(x,y \ (x \ z)) = u. [para(6992(a,1),3922(a,1))]. 7008 K(x,L(x \ y,x,z)) != u | K(x,z \ (x \ (z * y))) = u. [para(104(a,2),7007(a,1,2))]. 7009 K(x,L(x \ ((x \ 1) \ y),z,u)) = K(x,L(K(x,x \ 1) * y,z,u)). [para(2427(a,1),7003(a,1,2,1)),flip(a)]. 7010 ((x \ (y / z)) * x) * z = y * K(z \ (x \ y),x). [hyper(189,a,4199,a(flip),b,6993,a(flip)),flip(a)]. 7011 (x * y) * K(y \ (z \ (x * y)),z) = ((z \ x) * z) * y. [para(18(a,1),7010(a,1,1,1,2)),flip(a)]. 7012 K(x / y,T((x / y) * y,z)) = K(y \ x,T(x,y \ z)). [hyper(189,a,4844,a(flip),b,7000,a)]. 7013 K(x,L(x \ y,x,z)) = K(x,z \ (x \ (z * y))). [hyper(7008,a,xx),flip(a)]. 7014 K(x,L(x \ (y \ z),x,z / (z / y))) = K(x,(z / (z / y)) \ (x \ ((y \ z) * y))). [para(3588(a,1),7013(a,2,2,2,2))]. 7015 K(x,y / (((x \ z) * x) * u)) = K(x,y / (z * u)). [para(7011(a,1),6756(a,1,2,2))]. 7016 K(x,y / ((z * x) * u)) = K(x,y / ((x * z) * u)). [para(16(a,1),7015(a,1,2,2,1,1))]. 7017 K(x \ y,T(y,x \ z)) = K(y / x,T(y,z)). [para(19(a,1),7012(a,1,2,1)),flip(a)]. 7018 K(x \ y,T(y,x \ z)) = K(x \ y,T(y,z)). [hyper(189,a,4844,a(flip),b,7017,a)]. 7019 K(x \ ((y \ x) * z),z) = K(y \ z,T(z,x)). [hyper(189,a,6555,a,b,7018,a(flip)),flip(a)]. 7020 K(x \ (y \ z),T(y \ z,z)) = K(y \ (x \ z),y \ z). [hyper(7001,a,7019,a),flip(a)]. 7021 K(x \ (y \ z),x \ z) = K(y \ (x \ z),z / x). [hyper(6277,a,7020,a),flip(a)]. 7022 (x \ y) \ K(z \ (x \ y),y / x) = T(x \ y,x \ (z \ y)) \ 1. [hyper(75,a,7021,a(flip),b,4358,a(flip))]. 7023 K((T(x,y) * z) \ u,T(x,z)) = K((T(x,y) \ u) / z,x). [hyper(6038,a,6981,a)]. 7024 K((T(x,y) \ z) / u,x) = K(z / (T(x,y) * u),x). [hyper(189,a,6830,a(flip),b,7023,a(flip))]. 7025 K(R(x,y,z),L(u,w,x)) != v5 | K(R(x,y,z),u) = v5. [para(6983(a,2),4886(a,1))]. 7026 K(1 / x,L((1 / x) * y,z,u) \ 1) != w | K(L(x,z,u) \ 1,y \ x) = w. [para(6790(a,2),4835(a,1))]. 7027 K(x,(y / (y / z)) \ (x \ ((z \ y) * z))) = K(x,z \ (x \ y)). [hyper(189,a,6854,a(flip),b,6857,a)]. 7028 L(K(x,T(y,z)),u,L(y,w,v5)) = K(x,T(y,z)). [hyper(5798,a,6967,a)]. 7029 K(x,T(y,L(y,z,u) * w)) = K(x,T(y,w)). [hyper(5937,a,7028,a)]. 7030 L(K(x,T(y,z)),u,y) = K(x,T(y,z)). [para(262(a,1),7028(a,1,3))]. 7031 K((x * y) \ z,T(x,u)) = K(y \ (x \ z),T(x,u)). [hyper(189,a,5528,a(flip),b,7030,a(flip)),flip(a)]. 7032 K((x \ y) \ z,T(x,u)) = K(y \ (x * z),T(x,u)). [hyper(189,a,5527,a(flip),b,7030,a(flip))]. 7033 K(x * L(y,z,u),T(y,x)) = K(x * L(y,z,u),y). [hyper(6104,a,7029,a),flip(a)]. 7034 K(L(x,y,z) * u,T(x,u)) = K(L(x,y,z) * u,x). [hyper(3885,a,7029,a),flip(a)]. 7035 L(K(x \ (y \ 1),T(y,z)),u,w) = K(L(y * x,u,w) \ 1,T(y,z)). [para(7031(a,1),4824(a,1,1))]. 7036 K(x \ (y * z),T(y,z)) = K(z / (y \ x),y). [hyper(6100,a,7032,a),flip(a)]. 7037 K(x / (y \ z),y) = K((z / x) \ y,y). [hyper(6294,a,7036,a),flip(a)]. 7039 T(x,y) * K(y * L(x,z,u),x) = R(x,y,L(x,z,u)). [para(7033(a,1),5048(a,1,2))]. 7040 K(T(L(x,y,z) * u,u),x) = K(L(x,y,z) * u,x). [hyper(5430,a,7034,a)]. 7041 K(x,y) * K(L(x,z,u) * y,x) = L(x,y,L(x,z,u)) \ x. [para(7040(a,1),6820(a,1,2))]. 7042 K(x * L(y,z,u),y) * K(y,x) = y \ R(y,x,L(y,z,u)). [hyper(75,a,7039,a(flip),b,4545,a),flip(a)]. 7043 K(x,y) * K(y * L(x,z,u),x) = x \ R(x,y,L(x,z,u)). [hyper(75,a,7039,a(flip),b,4376,a),flip(a)]. 7044 x \ R(x,y,L(x,z,u)) != w | K(x,y) * K(y * L(x,z,u),x) = w. [para(7042(a,1),1960(a,1))]. 7045 K(x * L(y,z,u),T(y,x)) * K(y,x) = y \ R(y,x,L(y,z,u)). [para(7033(a,2),7042(a,1,1))]. 7046 (1 / (x \ y)) \ R(1 / (x \ y),z,L(1 / (x \ y),x \ y,x)) = K(z * (1 / (1 / (y \ x))),T(1 / (x \ y),z)) * K(1 / (x \ y),z). [para(2196(a,1),7045(a,1,1,1,2)),flip(a)]. 7047 K(R(x \ R(x,y,z),x,y * z),u) = K(a(x,y,z),T(u,x * (y * z))). [para(3254(a,2),6071(a,1,1))]. 7048 R(x,y,z) \ R(x * K(u,T(x,w)),y,z) = K(u,T(R(x,y,z),w)). [para(6034(a,1),6073(a,1,2,1,2))]. 7049 R(x,y,z) \ R(x * K(u,T(x,w)),y,z) = K(u,R(T(x,w),y,z)). [para(45(a,2),7048(a,2,2))]. 7050 (x * y) / (x * (y * K(z,u))) = L(T(K(u,z),x * y),y,x). [para(6560(a,1),6368(a,1,1)),flip(a)]. 7051 (x * y) / (x * (y * K(z,u))) = L(K(u,T(z,x * y)),y,x). [para(5334(a,2),7050(a,2,1))]. 7053 L(K(x,T(x * y,z * y)),y,z) = (z * y) / (z * (x \ T(x * y,x))). [para(5198(a,2),7051(a,1,2,2)),flip(a)]. 7054 L(K(x,T(T(y,z),u * z)),z,u) = (u * z) / (u * (K(y,x) * z)). [para(5370(a,1),7051(a,1,2,2)),flip(a)]. 7055 K(R(x \ y,z,u),T(y,x)) = K(R(x \ y,z,u),y). [hyper(4514,a,6397,a),flip(a)]. 7056 K(R(x / y,z,u),x) = K(R(y \ x,z,u),x). [hyper(6112,a,7055,a)]. 7057 K(R(((T(x,y) * y) / x) \ (T(x,y) * y),z,u),T(x,y) * y) = K(R(x * K(y,x),z,u),T(x,y) * y). [para(4955(a,1),7056(a,1,1,1)),flip(a)]. 7058 K(L(x,y,z),u \ (w * x)) != v5 | K(L(x,y,z),u \ (x * w)) = v5. [para(6575(a,1),4513(a,1))]. 7059 (x * y) \ ((x * (y * K(z,u))) * K(u,w)) = K(u,w) * L(K(z,u),y,x). [hyper(189,a,1963,a(flip),b,6633,a)]. 7060 (K(x,y) * K(z,x)) \ 1 = K(y,x) * K(x,z). [hyper(3714,a,6649,a),flip(a)]. 7061 K(x,L(1 / y,z,y \ 1) \ 1) = K(x,(y \ ((1 / y) \ 1)) * T(y,1)). [para(3179(a,1),6972(a,1,2,1))]. 7062 K(a(x,y,z),T(x,x * (y * z))) != u | K(x \ R(x,y,z),R(x,x \ R(x,y,z),y * z)) = u. [para(7047(a,1),6752(a,1))]. 7063 a(x,y * K(z,u),K(u,z)) = K(u,z) * L(K(z,u),y,x). [hyper(3935,a,7059,a)]. 7064 K(x,y) * L(K(y,x),z * K(x,y),u) = a(u,z,K(x,y)). [para(3919(a,1),7063(a,1,2)),flip(a)]. 7065 K(x,y) * L(K(y,x),z,u) = a(u,z,K(x,y)). [para(6611(a,1),7064(a,1,2))]. 7066 L(K(x,y),z,u) * K(y,x) = a(u,z,K(y,x)). [hyper(1961,a,7065,a)]. 7067 L(K(x,y),z,u) \ K(x,y) = a(u,z,K(x,y)). [hyper(189,a,5911,a,b,7065,a(flip)),flip(a)]. 7070 L(K(x,y),z,y \ 1) = K(x,(y \ ((1 / y) \ 1)) * T(y,1)). [hyper(189,a,5886,a(flip),b,7061,a(flip)),flip(a)]. 7071 L(K(x,y),z,y \ 1) = K(x,(y \ y) * T(y,1)). [para(69(a,1),7070(a,2,2,1,2))]. 7072 L(K(x,y),z,y \ 1) = K(x,1 * T(y,1)). [para(59(a,1),7071(a,2,2,1))]. 7074 L(K(x,y),z,y \ 1) = K(x,1 * y). [para(188(a,1),7072(a,2,2,2))]. 7075 L(K(x,y),z,y \ 1) = K(x,y). [para(14(a,1),7074(a,2,2))]. 7078 K(((x \ 1) * y) \ (z * (x \ 1)),x) = K(y \ T(z,x \ 1),x). [hyper(189,a,5530,a(flip),b,7075,a(flip)),flip(a)]. 7079 K(((x \ 1) * y) \ (x \ z),x) = K(y \ T(z,x \ 1),x). [hyper(189,a,6941,a(flip),b,7078,a(flip)),flip(a)]. 7080 K(((x \ 1) * y) \ (x \ z),x) = K(y \ z,x). [hyper(189,a,6937,a(flip),b,7079,a)]. 7081 K(((x \ 1) * y) \ z,x) = K(y \ (z * x),x). [hyper(6278,a,7080,a)]. 7082 K(T(x,y \ 1) \ (z * y),y) = K((x * (y \ 1)) \ z,y). [para(113(a,1),7081(a,1,1,1)),flip(a)]. 7083 K((x * (y \ 1)) \ z,y) = K(x \ (z * y),y). [hyper(189,a,6934,a(flip),b,7082,a(flip))]. 7084 L(K(x * y,x),y,z) = K(z \ ((z * y) * x),x). [hyper(189,a,5532,a,b,7083,a(flip)),flip(a)]. 7085 L(K(x * ((y * z) \ y),x),(y * z) \ y,z * y) = K((z * y) \ ((y * K(z,y)) * x),x). [para(1211(a,1),7084(a,2,1,2,1))]. 7086 K(x \ ((x * y) * z),z) \ K(z * y,z) = a(x,y,K(z * y,z)). [para(7084(a,1),7067(a,1,1))]. 7087 K(x,y \ ((y * z) * x)) * K(x * z,x) = a(y,z,K(x * z,x)). [hyper(3909,a,7086,a)]. 7088 L(K(x,x * y),y,z) = K(x,z \ ((z * y) * x)). [hyper(21,a,7066,a,b,7087,a),flip(a)]. 7089 L(K(x,y * x),y,z) = K(x,z \ ((z * y) * x)). [para(4576(a,2),7088(a,1,1))]. 7090 L(K(x,x * (y \ z)),y \ z,z * (y / z)) = K(x,(z * (y / z)) \ (T(z,z \ y) * x)). [para(5579(a,1),7088(a,2,2,2,1))]. 7091 L(K(L(x,y,z),y * L(x,y,z)),y,z) = K(L(x,y,z),y * x). [para(342(a,1),7089(a,2,2))]. 7092 L(K(L(x,y,z),y * L(x,y,z)),y,z) = K(x,x * y). [hyper(189,a,5546,a(flip),b,7091,a)]. 7094 K(x / y,z) * K(K(y \ x,z) * x,x) = K(T(x / (x / y),x) \ x,z). [hyper(189,a,5637,a,b,6130,a)]. 7095 K(((x * y) \ (z * y)) \ 1,T(x,z)) = K(((x * y) \ (z * y)) \ 1,x). [hyper(189,a,4752,a(flip),b,6398,a)]. 7096 K(((x * y) \ (z * y)) \ 1,T(x,z)) = K(z \ x,((x * y) \ y) \ 1). [hyper(189,a,5613,a(flip),b,7095,a)]. 7097 K((x * y) \ (z * y),T(z,x)) = K(x \ z,((z * y) \ y) \ 1). [hyper(5466,a,7096,a)]. 7098 K((x * y) \ (z * y),T(z,x)) = K(x \ z,y \ (z * y)). [hyper(189,a,5258,a(flip),b,7097,a)]. 7099 K((x * y) \ (z * y),T(z,x)) = K(x \ z,T(z,y)). [para(35(a,2),7098(a,2,2))]. 7100 K(x,(x * y) \ (T((x * y) / z,u) * x)) = K(x,T(z \ (x * y),u) / y). [hyper(189,a,5916,a(flip),b,6447,a(flip)),flip(a)]. 7101 L(x \ 1,x,K(x,y) * z) = L(x \ 1,x,z). [hyper(6498,a,6928,a)]. 7102 L(x \ 1,x,y * K(x,z)) = L(x \ 1,x,y). [para(6024(a,1),7101(a,1,3))]. 7103 L(x \ 1,T(x,y),z) = L(x \ 1,x,z). [hyper(5588,a,7102,a)]. 7106 T(x * L(x \ 1,x,y),z) = T(x,z) * ((y * T(x,z)) \ y). [para(7103(a,1),1925(a,1,1,2))]. 7109 T(x,y) * ((z * T(x,y)) \ z) = x * ((z * x) \ z). [hyper(189,a,5810,a(flip),b,7106,a(flip))]. 7112 (x * ((y * x) \ y)) \ T(x,z) = 1 / ((y * T(x,z)) \ y). [para(7109(a,1),1450(a,1,1))]. 7113 K(T(x,y),z \ (T(x,u) * (x \ w))) = K(T(x,y),z \ w). [hyper(189,a,4660,a(flip),b,6554,a)]. 7114 K(T(x,y),z \ (T(x,u) \ w)) = K(T(x,y),z \ (x \ w)). [para(978(a,1),7113(a,1,2,2)),flip(a)]. 7115 K(T(x,y),z \ (u * K(x,w))) = K(T(x,y),z \ u). [para(6059(a,1),7113(a,1,2,2))]. 7116 K(T(x,y),z \ (u * (T(x,w) \ 1))) = K(T(x,y),z \ (u * (x \ 1))). [para(5734(a,1),7115(a,1,2,2)),flip(a)]. 7117 K(T(x,y),z \ (y * (T(x,u) \ 1))) = K(x,(y * (x \ 1)) / z). [hyper(189,a,6812,a(flip),b,7116,a)]. 7118 K(T(x,y),z \ (x \ y)) = K(x,(y * (x \ 1)) / z). [para(4265(a,1),7117(a,1,2,2))]. 7119 K(x,(y * (x \ 1)) / z) = K(x,y / (z * x)). [hyper(189,a,6449,a(flip),b,7118,a(flip))]. 7120 x \ (K(y,z) * (K(u,y) * x)) = T(K(u,y),x) * T(K(y,z),x). [para(6545(a,1),6634(a,1,2)),flip(a)]. 7122 K(x,K(y,z)) * (L(K(u,x),w,v5) * K(x,K(y,z))) = L(K(x,u),w,v5) \ 1. [para(5895(a,1),6810(a,1,2))]. 7123 K(x / y,z) * K(K(y \ x,z) * x,x) = K(x / T(y,x),z). [para(4901(a,1),7094(a,2,1))]. 7124 K(x / y,z) * K(x * K(y \ x,z),x) = K(x / T(y,x),z). [para(4617(a,1),7123(a,1,2))]. 7125 T(x * K(x / y,z),x) = x * K(x / T(y,x),z). [para(7124(a,1),6386(a,1,2)),flip(a)]. 7126 T(x * K(x / y,z),x) != x * u | K(x / T(y,x),z) = u. [para(7125(a,2),22(a,1))]. 7127 K(x,y \ (x \ (T((x * y) / z,u) * x))) = K(x,T(z \ (x * y),u) / y). [hyper(189,a,6768,a(flip),b,7100,a(flip)),flip(a)]. 7128 K(x,y \ T(T((x * y) / z,u),x)) = K(x,T(z \ (x * y),u) / y). [para(35(a,2),7127(a,1,2,2))]. 7129 K(x,T(y \ (x * z),u) / z) = K(x,z \ T((x * z) / y,u)). [hyper(6493,a,7128,a),flip(a)]. 7130 K(x,((y \ (x * z)) \ (x * z)) \ x) = K(x,z \ T((x * z) / y,y)). [hyper(189,a,6446,a,b,7129,a(flip)),flip(a)]. 7131 K(x,((y \ (x * z)) \ (x * z)) \ x) = K(x,z \ (y \ (x * z))). [para(115(a,1),7130(a,2,2,2))]. 7132 K(x,(x * y) \ ((z \ (x * y)) * x)) = K(x,y \ (z \ (x * y))). [hyper(189,a,5916,a(flip),b,7131,a(flip)),flip(a)]. 7133 (x \ T(K(y \ x,z) * x,x)) \ (x * K(x / y,z)) = L(x,K(y \ x,z),x). [para(6120(a,1),6131(a,1,1))]. 7134 (x * (y \ T(z * y,y))) \ (x * T(z,y)) = L(K(y,y * z),T(z,y),x). [para(113(a,1),6192(a,1,1,2,2,1))]. 7135 (x * (y \ T(z * y,y))) \ (x * T(z,y)) = L(K(y,y * z),z,x). [hyper(189,a,6612,a(flip),b,7134,a)]. 7136 T(x * K(y * R(x,z,u),x),y) = R(x,T(y,T(x,w)),R(x,z,u)). [hyper(189,a,5427,a(flip),b,6245,a(flip)),flip(a)]. 7138 R(x,T(y,T(x,z)),R(x,u,w)) = R(x,y,R(x,u,w)). [hyper(189,a,4654,a(flip),b,7136,a(flip))]. 7139 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(6092(a,1),7138(a,1,2))]. 7140 K(L(x,y,z),u * (K(x,w) * v5)) = K(L(x,y,z),u * v5). [hyper(189,a,4739,a(flip),b,6252,a)]. 7141 K(L(x,y,z),K(u,x) * w) = K(L(x,y,z),w). [para(3887(a,1),7140(a,1,2)),flip(a)]. 7142 K(L(x,y,z),L(K(u,x),w,v5) * v6) = K(L(x,y,z),v6). [para(4829(a,1),7141(a,1,2,1))]. 7143 K(x * (K(y,z) * u),R(y,w,v5)) = K(x * u,R(y,w,v5)). [hyper(189,a,4741,a(flip),b,6253,a)]. 7144 K(K(x,y) * z,R(y,u,w)) = K(z,R(y,u,w)). [para(3887(a,1),7143(a,1,1)),flip(a)]. 7145 K(K(x,y) * z,R(x,u,w)) = K(z,R(x,u,w)). [para(3887(a,1),7144(a,1,1)),flip(a)]. 7146 K(R(T(x,T(y,z)),u,w),R(z,y,z)) = K(R(x,u,w),z * K(y * z,z)). [para(4600(a,1),6380(a,1,2)),flip(a)]. 7147 K(R(T(x,T(y,z)),u,w),R(z,y,z)) = K(T(R(x,u,w),y * z),z). [hyper(189,a,6047,a(flip),b,7146,a)]. 7148 K(R(T(x,T(y,z)),u,w),R(z,y,z)) = K(R(T(x,y * z),u,w),z). [para(45(a,2),7147(a,2,1))]. 7149 K(R(T(x,T(y,z)),u,w),z) = K(R(T(x,y * z),u,w),z). [hyper(6480,a,7148,a)]. 7151 K(R(T(x,y * z),u,w),z) = K(R(T(x,y),u,w),z). [hyper(189,a,6401,a(flip),b,7149,a(flip))]. 7152 K(R(T(x,y * z),u,w),y) = K(R(T(x,z),u,w),y). [hyper(189,a,6661,a(flip),b,7151,a(flip)),flip(a)]. 7153 K((x * y) \ ((x * z) * y),x) = K(R(T(z,y),x,y),x). [hyper(3942,a,7152,a)]. 7154 T(T(T(x,y),z) * T(y,x),T(T(x,y),z)) = R(T(x,z),y,x) * T(y,x). [hyper(189,a,3538,a(flip),b,6439,a)]. 7155 K(x,((x \ 1) * (y * z)) / ((x \ 1) * z)) != u | K(x,L(y,z,x \ 1)) = u. [para(6814(a,1),6109(a,1))]. 7156 T(R(K(x,T(y,z)),z,u) \ 1,z * u) = K(y,((z / x) * u) \ (z * u)). [hyper(189,a,3871,a(flip),b,6887,a)]. 7157 T(R(K(T(x,y),z),y,u) * 1,y * u) = K(x,((y / z) * u) \ (y * u)). [para(5672(a,1),7156(a,1,1))]. 7158 T(R(K(x,T(y,z)),z,u) * 1,z * u) = K(x,((z / y) * u) \ (z * u)). [para(5380(a,1),7157(a,1,1,1,1))]. 7159 T(R(K(x,T(y,z)),z,u),z * u) = K(x,((z / y) * u) \ (z * u)). [para(15(a,1),7158(a,1,1))]. 7160 R(T(K(x,T(y,z)),z * u),z,u) = K(x,((z / y) * u) \ (z * u)). [hyper(5484,a,7159,a)]. 7161 K(x,((y / z) * u) \ (y * u)) = (y * u) \ ((y * K(x,z)) * u). [hyper(6058,a,7160,a),flip(a)]. 7162 K(((x / y) * z) \ (x * z),u) = K(y,((x / u) * z) \ (x * z)). [hyper(189,a,5608,a,b,7161,a),flip(a)]. 7163 T(x * K(y * R(x,z,u),x),y) = R(x,K(x,w) * y,R(x,z,u)). [para(6232(a,1),6904(a,1,1,2))]. 7164 R(x,K(x,y) * z,R(x,u,w)) = R(x,z,R(x,u,w)). [hyper(189,a,4654,a(flip),b,7163,a(flip))]. 7166 ((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(7164(a,1),5813(a,2,2,2,1,1))]. 7167 K(L(x,y \ z,y) \ 1,u \ (x * (y \ z))) = K(x \ 1,(y * (x \ u)) \ z). [hyper(4894,a,6974,a)]. 7168 K(x,y) * ((x \ 1) \ K(y,z)) = T((x \ 1) \ K(y,z),y). [para(17(a,1),6345(a,1,1)),flip(a)]. 7170 (x \ 1) * ((K(y,z) \ u) * T((K(y,z) \ u) \ ((x \ 1) \ u),y)) = ((x \ 1) * (K(x,y) * ((x \ 1) \ K(y,z)))) * (K(y,z) \ u). [para(7168(a,2),1159(a,2,1,2))]. 7171 K(L(x,y,z),u \ L(K(x,w),v5,v6)) = K(L(x,y,z),u \ 1). [hyper(189,a,4738,a(flip),b,6418,a)]. 7173 K(x \ y,x) * ((z / (x \ y)) * (x \ y)) = T(z / (y / x),K(y,x)) * (x \ y). [para(6118(a,1),6499(a,2,1))]. 7174 K(x * (y / (y / z)),T(z,x)) = K((y / (y / z)) * x,z). [para(3586(a,1),6586(a,1,2))]. 7175 K(x * (y / (y / z)),T(z,x)) = K(z * x,z). [hyper(189,a,6250,a(flip),b,7174,a)]. 7178 K(x * (y / (y / z)),T(z,x)) = K(x * z,z). [hyper(189,a,4617,a,b,7175,a)]. 7180 K(x,y) * ((y * R(x,z,R(x,u,w))) * x) = (R(x,z,R(x,u,w)) * y) * x. [para(160(a,1),6739(a,2,1))]. 7181 (R(x,y,R(x,z,u)) * w) * x = (x * w) * R(x,y,R(x,z,u)). [hyper(189,a,6729,a(flip),b,7180,a(flip))]. 7182 (K(x,y) * K(x * y,z)) * (y * x) = T(K(x,y) * (y * x),z). [para(4703(a,2),6823(a,1,1,1)),flip(a)]. 7183 (K(x,y) * K(x * y,z)) * (y * x) = T(x * y,z). [para(4373(a,1),7182(a,2,1))]. 7184 (x * y) \ T(y * x,z) = K(y,x) * K(y * x,z). [hyper(21,a,4950,a,b,7183,a),flip(a)]. 7185 K(x,T((K(x,y) * z) / u,w)) != v5 | K(x,T(z / u,w)) = v5. [para(6883(a,2),6733(a,1))]. 7186 (T(x \ y,x \ (z \ y)) \ 1) \ ((x \ y) \ 1) = K(x \ y,(z * x) \ y). [para(7022(a,1),6894(a,1,1))]. 7187 K(x \ y,(z * x) \ y) = K(x \ y,x \ (z \ y)). [hyper(4537,a,7186,a),flip(a)]. 7189 K(x,T(y,T(z \ (x * u),x) \ x)) = K(T(x * K(u \ z,x),x),y). [para(6363(a,1),6986(a,1,1,1,2)),flip(a)]. 7190 K(x,T(y,T(z \ (x * u),x) \ x)) = K(x * K(u \ z,x),y). [para(1497(a,1),7189(a,2,1))]. 7191 K(x,T(y,T(z \ (x * u),x) \ x)) != w | K(x,T(y,u \ z)) = w. [para(7190(a,2),6267(a,1))]. 7192 T(x / (y / z),K(y,z)) * (z \ y) = K(z \ y,z) * x. [para(19(a,1),7173(a,1,2)),flip(a)]. 7193 T((x / (y / z)) * (z \ y),K(y,z)) = K(z \ y,z) * x. [hyper(189,a,6717,a,b,7192,a(flip)),flip(a)]. 7195 T(x * K(y \ z,y),K(z,y)) = K(y \ z,y) * x. [para(5463(a,1),7193(a,1,1))]. 7196 T(x * (y * K(z \ x,z)),K(x,z)) = x * (K(z \ x,z) * y). [para(7195(a,1),6727(a,2,2))]. 7197 T(x,R(x,y,z) * u) \ (x * K(x,u)) = L(x,u,R(x,y,z)) \ x. [para(6588(a,1),6793(a,1,2,2))]. 7198 K(R(x,y,z) * u,x) * K(x,u) = L(x,u,R(x,y,z)) \ x. [hyper(4587,a,7197,a)]. 7200 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(45(a,2),6888(a,1,1,2))]. 7201 K(x,L(x \ (y \ z),x,z / (z / y))) = K(x,y \ (x \ z)). [hyper(189,a,7027,a(flip),b,7014,a)]. 7202 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(6118(a,1),7200(a,1,2))]. 7203 T((x * (y * K(T(z,u),y))) / x,u) = K(z,y * K(x,y)) * T(y * K(x,y),u). [para(6734(a,1),6293(a,1,1))]. 7204 K(x,y * K(z,y)) * T(y * K(z,y),u) = (z * (K(x,y) * T(y,u))) / z. [hyper(189,a,6291,a(flip),b,7203,a(flip))]. 7205 K(T(x,y),z) * T(z * K(y,z),u) = (y * (K(x,z) * T(z,u))) / y. [para(6047(a,1),7204(a,1,1))]. 7206 K(T(x,y),z) * T((y * z) / y,u) = (y * (K(x,z) * T(z,u))) / y. [para(4375(a,2),7205(a,1,2,1))]. 7207 (x * (T(y,z) * K(u,T(y,T(u,w))))) / x = K(T(u,x),y) * T((x * y) / x,z). [para(5352(a,2),7206(a,2,1,2)),flip(a)]. 7208 (x * (T(y,T(z,x)) * K(z,T(y,T(z,u))))) / x = y * K(x,T(y,T(z,x))). [hyper(189,a,4735,a(flip),b,7207,a)]. 7209 (x * (T(y,T(z,x)) * K(z,T(y,T(z,u))))) / x = y * K(x,T(y,z)). [para(6327(a,1),7208(a,2,2))]. 7210 (x * (T(y,T(z,x)) * K(z,y))) / x = y * K(x,T(y,z)). [para(5341(a,1),7209(a,1,1,2,2))]. 7211 (T(x,y) * T(y,T(x,z))) / x = y * K(x,T(y,z)). [para(6683(a,1),7210(a,1,1))]. 7212 T(T(x,y),y) * T(y,T(x,z)) = x * (y * K(x,T(y,z))). [para(7211(a,1),5850(a,2,2))]. 7213 T(T(x,y),y) * T(y,T(x,z)) = T(x,T(y,z)) * y. [hyper(189,a,6127,a(flip),b,7212,a)]. 7214 (T(x,T(y,z)) * y) / K(x,y) = T(x,y) * T(y,T(x,z)). [para(7213(a,1),5832(a,1,1))]. 7215 T(x,y) * T(y,T(x,z)) = y * T(x,T(y,z)). [hyper(189,a,5408,a(flip),b,7214,a(flip))]. 7216 x * T(y * K(x,y),T(x,z)) = y * T(x,T(y,z)). [hyper(189,a,5377,a,b,7215,a(flip)),flip(a)]. 7217 T(x * K(y,T(x,z)),y) = T(x * K(y,x),T(y,z)). [hyper(147,a,5132,a,b,7216,a)]. 7218 x * T(y,T(x,z)) = y * T(x,K(y,z)). [para(6322(a,1),7216(a,1,2)),flip(a)]. 7219 x \ T(y * x,K(y,z)) = T(y,T(x,z)). [hyper(75,a,6727,a,b,7218,a)]. 7220 x \ T(y * x,K(y,z)) = T(T(y,x),K(x,z)). [hyper(189,a,6323,a,b,7219,a)]. 7221 x \ T(y * x,K(y,z)) != u | T(y,T(x,z)) = u. [para(7220(a,2),6331(a,1))]. 7222 T(x * K(y \ z,x),T(y \ z,z)) = T(x * K(z / y,x),y \ z). [para(6029(a,1),7217(a,1,1,2)),flip(a)]. 7223 T(x * K(y \ z,x),T(y \ z,y)) = T(x * K(z / y,x),y \ z). [para(6033(a,1),7217(a,1,1,2)),flip(a)]. 7224 T(x * K(y / z,x),z \ y) = T(x,K(z \ y,y)). [hyper(6325,a,7222,a),flip(a)]. 7225 T(x * K(y / z,x),z \ y) = T(x * K(z,x),T(z,y)). [hyper(189,a,6708,a(flip),b,7223,a(flip))]. 7226 T(x * K(y \ z,x),T(y \ z,z)) = T(x * K(y,x),T(y,z)). [hyper(189,a,7222,a,b,7225,a(flip)),flip(a)]. 7227 T(x,y * ((z * (y \ z)) / z)) = K(x,z) * T(x * K(y,x),T(y,z)). [para(7226(a,1),6684(a,1,2)),flip(a)]. 7228 T(x,y * ((z * (y \ z)) / z)) = T(x,T(z,y)). [hyper(189,a,6682,a(flip),b,7227,a)]. 7229 T(x,T(y,z \ y)) = T(x,T(y,z)). [para(3330(a,1),7228(a,1,2))]. 7230 T(x,T(y,z \ 1)) = T(x,T(y,z)). [hyper(189,a,6709,a,b,7229,a(flip)),flip(a)]. 7231 T(x,T(y,z \ 1)) = x * K(x,T(y,z)). [hyper(189,a,4396,a(flip),b,7230,a)]. 7232 T(x * y,T(z,y)) = T(x * y,T(z,x)). [hyper(189,a,6392,a(flip),b,7230,a(flip))]. 7233 T(K(x,y),z \ 1) = K(x,T(y,z)). [hyper(5372,a,7231,a)]. 7234 K(x,T(y,z \ 1)) = K(x,T(y,z)). [hyper(4436,a,7231,a)]. 7235 K(x,y) * K(x,K(y,z)) = T(K(x,y),z \ 1). [hyper(189,a,6012,a,b,7233,a),flip(a)]. 7236 K(x,T(y,z \ y)) = K(x,T(y,z)). [hyper(5497,a,7234,a)]. 7237 K(x * y,T(z,y)) = K(x * y,T(z,x)). [hyper(189,a,5423,a(flip),b,7234,a(flip)),flip(a)]. 7238 K(x,T(y,z \ x)) = K(x,T(y,z)). [hyper(189,a,5422,a(flip),b,7234,a(flip)),flip(a)]. 7239 K(x,T(y,z \ u)) = K(x,T(y,u \ z)). [para(5471(a,1),7234(a,1,2))]. 7240 K((x \ y) / z,T(y,x)) = K(z \ (x \ y),y). [hyper(6106,a,7236,a),flip(a)]. 7241 T(T(x,y) * z,T(x,z)) = T(T(x,y) * z,x). [para(171(a,1),7232(a,2,2))]. 7242 T(x * L(L(y,z,u),w,v5),T(y,x)) = T(x * L(L(y,z,u),w,v5),y). [para(750(a,1),7232(a,1,2)),flip(a)]. 7243 K(x * R(y,z,u),T(y,x)) = K(x * R(y,z,u),y). [para(668(a,1),7237(a,1,2)),flip(a)]. 7244 K(R(x,y,z) * u,T(x,u)) = K(R(x,y,z) * u,x). [para(668(a,1),7237(a,2,2))]. 7245 K(x,T(y,z \ x)) != u | K(x,T(y,z)) = u. [para(7239(a,1),5494(a,1))]. 7246 K(x,T(y,z \ 1)) != u | K(x,T(y,z)) = u. [para(5422(a,2),7245(a,1))]. 7247 K(x,T(y,z \ u)) != w | K(x,T(y,u \ z)) = w. [para(5477(a,1),7245(a,1))]. 7248 K(x,T(T(y,z),u \ y)) != w | K(x,T(T(y,z),u)) = w. [para(6559(a,1),7246(a,1))]. 7249 K(x,K(y,z \ 1)) = K(x,K(y,z)). [hyper(20,a,5958,a,b,7235,a),flip(a)]. 7250 K(x \ 1,K(y,z)) = K(y,K(z,x)). [hyper(6098,a,7235,a(flip))]. 7251 K(x,K(y,z \ 1)) = K(x,K(z,y)). [hyper(189,a,5983,a,b,7249,a)]. 7252 R(K(x,K(y,z \ 1)),u,w) = K(x,K(y,R(z,u,w))). [hyper(189,a,6460,a,b,7249,a(flip)),flip(a)]. 7253 K(x,K(y,z \ K(u,w))) = K(x,K(y,K(w,u) * z)). [para(5268(a,1),7249(a,1,2))]. 7254 K(K(x,y) * z,z) = K(x,K(y,z)). [hyper(6915,a,7250,a)]. 7255 K(x \ 1,K(y,z)) = K(y,K(x,z)). [hyper(189,a,5983,a,b,7250,a)]. 7256 L(K(x \ 1,K(y,z)),u,w) = K(y,K(z,L(x,u,w))). [hyper(189,a,4824,a,b,7250,a(flip)),flip(a)]. 7257 K(x,K(y,z \ 1)) != u | K(x,K(y,z)) = u. [para(7251(a,2),5991(a,1))]. 7258 (x * (K(y,z) * x)) * K(y,K(z,x)) != x * u | T(K(y,z) * x,x) = u. [para(7254(a,1),294(a,1,2))]. 7260 K(x,K(y,z / (u * z))) != w | K(x,K(y,u)) = w. [para(4776(a,2),7257(a,1,2))]. 7261 K(x,K(y,z \ u)) != w | K(x,K(y,u \ z)) = w. [para(5258(a,1),7257(a,1,2))]. 7262 K((x \ R(y,z,u)) / w,R(T(y,x),z,u)) = K(w \ (x \ R(y,z,u)),R(y,z,u)). [para(45(a,2),7240(a,1,2))]. 7263 R(T(x,y),z,x) * T(z,x) = T(T(x,y) * z,x). [hyper(189,a,5848,a,b,7241,a(flip)),flip(a)]. 7264 K(x,T(y,(z \ u) \ x)) != w | K(x,T(y,u \ z)) = w. [para(7238(a,2),7247(a,1))]. 7265 T(T(T(x,y),z) * T(y,x),T(T(x,y),z)) = T(T(x,z) * y,x). [hyper(189,a,7154,a,b,7263,a(flip)),flip(a)]. 7266 T(x,y) * K(y * R(x,z,u),x) = R(x,y,R(x,z,u)). [para(7243(a,1),4504(a,1,2))]. 7267 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(7243(a,2),5976(a,2,1))]. 7268 R(K(x,K(y,z)),u,w) = K(x,K(y,R(z,u,w))). [para(7249(a,1),7252(a,1,1))]. 7269 R(K(x,K(y,z)),u,w) = K(x,K(z,R(y,u,w))). [para(7251(a,1),7252(a,1,1))]. 7270 K(x,K(y,R(z,y,u))) = K(x,K(y,z)). [hyper(189,a,6459,a(flip),b,7268,a(flip))]. 7271 K(x,K(y,R(z,u,w))) = K(x,K(z,R(y,u,w))). [hyper(189,a,7268,a(flip),b,7269,a(flip))]. 7272 K(x,R(K(y,z),u,w)) = K(x,K(z,R(y,u,w))). [hyper(189,a,6458,a(flip),b,7269,a(flip)),flip(a)]. 7273 K(x,K(y,R(x \ z,u,w))) = K(x,K(z,R(y,u,w))). [hyper(6266,a,7271,a),flip(a)]. 7274 K(R(K(x,y),z,u),w) = K(y,K(w,R(x,z,u))). [hyper(189,a,6456,a,b,7272,a(flip)),flip(a)]. 7275 K(x,K(y,R(x,z,u))) = 1. [hyper(189,a,2667,a(flip),b,7272,a(flip))]. 7276 T(x,K(y,R(x,z,u))) = x. [hyper(40,a,7275,a)]. 7277 T(T(x,y),K(z,R(x,u,w))) = T(x,y). [para(7276(a,1),41(a,1,1)),flip(a)]. 7278 K(x * R(T(y,z),u,w),T(y,v5)) = K(x * R(y,u,w),T(y,v5)). [para(7277(a,1),7202(a,1,2))]. 7279 K(x,K(y,K(z,u) * w)) * y = T(y,K(x,w \ K(u,z))). [para(7253(a,1),5971(a,1,1))]. 7280 L(K(x,K(y,z)),u,w) = K(x,K(z,L(y,u,w))). [para(7255(a,1),7256(a,1,1))]. 7281 L(K(x,K(y,z)),u,w) = K(y,K(z,L(x,u,w))). [para(5966(a,1),7280(a,1,1))]. 7282 K(x,K(y,L(z,u,w))) = K(z,K(y,L(x,u,w))). [hyper(189,a,7280,a(flip),b,7281,a(flip))]. 7283 K(L(K(x,y),z,u),w) = K(y,K(w,L(x,z,u))). [hyper(189,a,6454,a(flip),b,7281,a(flip)),flip(a)]. 7284 K(x,K(y \ z,L(y,u,w))) = K(y,K(z,L(x,u,w))). [hyper(6266,a,7282,a),flip(a)]. 7285 K(L(K(x,y),z,u),w) = K(w,K(y,L(x,z,u))). [hyper(189,a,5966,a,b,7283,a)]. 7286 K(x,L(K(y,z),u,w)) = K(x,K(z,L(y,u,w))). [hyper(189,a,6461,a(flip),b,7283,a(flip)),flip(a)]. 7287 x * K(L(K(y,z),u,w),x) = T(x,K(z,L(y,u,w))). [para(7283(a,2),5970(a,1,2))]. 7288 K(L(K(x,x \ y),z,u),w) = K(x,K(y,L(w,z,u))). [hyper(189,a,7285,a,b,7284,a(flip)),flip(a)]. 7289 T(x,L(K(y,z),u,w)) = T(x,K(z,L(y,u,w))). [hyper(6370,a,7287,a)]. 7290 L(K(x,y),z / K(x,y),u) \ (u * z) = T(u * (z * K(y,x)),K(y,L(x,z,u))). [hyper(189,a,6623,a,b,7289,a(flip)),flip(a)]. 7291 K(x * R(y,z,u),y) * K(y,x) = y \ R(y,x,R(y,z,u)). [hyper(75,a,7266,a(flip),b,4545,a),flip(a)]. 7292 T(x,y) * (K(y * R(x,z,u),x) * w) = R(x,y,R(x,z,u)) * w. [para(7266(a,1),3837(a,1,1)),flip(a)]. 7293 T(x,K(y,z \ K(u,w))) = T(x,K(y,K(w,u) * z)). [hyper(5973,a,7279,a),flip(a)]. 7294 T(x,K(y,z \ K(u,y))) = T(x,K(y,z)). [para(6179(a,1),7293(a,2,2))]. 7295 T(x,K(y,z \ 1)) = T(x,K(y,z)). [para(123(a,1),7294(a,1,2,2,2))]. 7296 T(x,K(y,z \ 1)) = T(x,K(z,y)). [hyper(189,a,6118,a,b,7295,a)]. 7297 T(x,K(y,z \ u)) = T(x,K(y,u \ z)). [para(5258(a,1),7295(a,1,2))]. 7298 T(x,K(y \ z,u)) = T(x,K(u,z \ y)). [para(5258(a,1),7296(a,1,2)),flip(a)]. 7299 T(x,K(y,z \ x)) = T(x,K(y,z)). [hyper(6665,a,7297,a),flip(a)]. 7300 L(x,y,z) \ L(T(x,K(u,w)),y,z) = K(L(x,y,z),K(u,w \ x)). [para(7299(a,1),4397(a,1,2,1))]. 7301 T(x,K(y \ z,u)) != w | T(x,K(z \ y,u)) = w. [para(7298(a,2),6121(a,1))]. 7302 T(x,K(y \ z,z)) != u | T(x,K(z,y)) = u. [para(7298(a,2),6016(a,1))]. 7303 T(x * K(y / z,x),z \ y) = T(x,K(y,z)). [hyper(7302,a,7224,a(flip)),flip(a)]. 7304 T(T(x,K(y,z)),y / z) = T(x,z \ y). [para(7303(a,1),4420(a,1,1))]. 7305 T(K(x,y) * z,x / z) = T(K(x,y) * z,z \ x). [para(6185(a,1),7304(a,1,1))]. 7306 K(x,y) * T(K(y,x) * z,y / z) = T(z,z \ T(y,x)). [para(7305(a,2),6851(a,1,2))]. 7307 T(x * K(y,z),y / x) * K(z,y) = T(x,x \ T(y,z)). [hyper(3957,a,7306,a)]. 7308 T(x,x \ T(y,z)) * K(y,z) = T(x * K(y,z),y / x). [hyper(3929,a,7307,a)]. 7309 (x / y) * T(x * (y / x),z) = T(x * K(y,z),y / x). [hyper(189,a,5172,a(flip),b,7308,a(flip)),flip(a)]. 7310 T(x * K(y * x,z),(y * x) / x) = (x / (y * x)) * T(x * y,z). [para(18(a,1),7309(a,1,2,1,2)),flip(a)]. 7311 R(x * (y * R(x,z,u)),K(y * R(x,z,u),x),K(x,y)) \ (((y * R(x,z,u)) * x) * K(x,y)) = x \ R(x,y,R(x,z,u)). [hyper(189,a,399,a,b,7291,a(flip)),flip(a)]. 7312 K(R(x,y,z) * u,T(x,u)) * K(T(x,u),u) = T(x,u) \ R(T(x,u),u,R(T(x,u),y,z)). [para(160(a,1),7291(a,1,1,1))]. 7313 K((T(T(x,y),z) * T(y,x)) \ u,T(x,y)) = K(T(T(x,z) * y,x) \ u,T(x,y)). [para(7265(a,1),6414(a,1,1,1)),flip(a)]. 7314 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(7278(a,1),4654(a,1,1,2))]. 7316 K(L(x,y,z),K(u,w \ x)) = K(L(x,y,z),K(u,w)). [hyper(4513,a,7300,a),flip(a)]. 7317 K(L(x,y,z),K(u,w \ x)) = K(u,K(w,L(x,y,z))). [hyper(189,a,5969,a,b,7316,a)]. 7318 T(x,K(y \ z,L(z,u,w))) = (K(x,K(y,L(z,u,w))) * v5) / (x \ v5). [para(7317(a,1),5986(a,1,1,1)),flip(a)]. 7319 (x / (y * x)) * T(x * y,z) = T(x * K(y * x,z),y). [para(18(a,1),7310(a,1,2)),flip(a)]. 7320 T(x,K(y \ z,L(z,u,w))) = T(x,K(y,L(z,u,w))). [hyper(189,a,4550,a(flip),b,7318,a)]. 7321 T(x,K(y \ z,L(y,u,w))) = T(x,K(z,L(y,u,w))). [hyper(7301,a,7320,a)]. 7322 T(K(x,y) * z,z) = z * K(x,y). [hyper(7258,a,6607,a)]. 7324 T(x * K(x / y,z),x) = x * K(y \ x,z). [para(6063(a,1),7322(a,1,1))]. 7325 (x \ (x * K(y \ x,z))) \ (x * K(x / y,z)) = L(x,K(y \ x,z),x). [para(7322(a,1),7133(a,1,1,2))]. 7326 K(x / T(y,x),z) = K(y \ x,z). [hyper(7126,a,7324,a)]. 7328 K((x \ 1) \ y,z) = K(x * y,z). [para(4240(a,1),7326(a,1,1)),flip(a)]. 7331 K(x \ y,z) \ (y * K(y / x,z)) = L(y,K(x \ y,z),y). [para(16(a,1),7325(a,1,1))]. 7332 L(x,K(y \ x,z),x) = x. [hyper(6129,a,7331,a)]. 7334 L(x,K(y,z),x) = x. [para(69(a,1),7332(a,1,2,1))]. 7337 (1 / x) \ K(y,z) = x * K(y,z). [para(7334(a,1),4261(a,1,1)),flip(a)]. 7338 (1 / x) * (x * K(y,z)) = K(y,z). [para(7337(a,1),17(a,1,2))]. 7339 (1 / x) \ K(y,z) != x * u | K(y,z) = u. [para(7337(a,2),22(a,1))]. 7341 (x \ 1) * K(y,z) = x \ K(y,z). [para(67(a,1),7337(a,1,1)),flip(a)]. 7342 L(K(x,y),z \ 1,z) = K(x,y). [hyper(4218,a,7338,a)]. 7343 L(K(x,y),z,z \ 1) = K(x,y). [hyper(2390,a,7338,a)]. 7344 (1 / x) \ K(y,z) != u | x * K(y,z) = u. [para(7338(a,1),237(a,1,2)),flip(b)]. 7345 K((x * y) \ 1,z) = K(y \ (x \ 1),z). [hyper(189,a,5528,a(flip),b,7342,a(flip)),flip(a)]. 7347 K(x,y) * (1 / z) = K(x,y) / z. [para(7343(a,1),4216(a,1,1))]. 7350 (x \ K(y,z)) \ (x \ 1) = K(z,y). [para(7341(a,1),3918(a,1,1))]. 7352 1 / (x \ K(y,z)) = K(y,z) \ x. [hyper(75,a,67,a(flip),b,7347,a),flip(a)]. 7353 (K(x,y) / z) \ 1 = z * K(y,x). [para(7350(a,1),223(a,1,2)),flip(a)]. 7354 (K(x,y) \ z) \ 1 = z \ K(x,y). [para(7352(a,1),69(a,1,1))]. 7356 1 / (x * K(y,z)) = K(z,y) / x. [para(7353(a,1),67(a,1,2))]. 7358 (K(x,y) * z) \ 1 = z \ K(y,x). [para(3889(a,1),7354(a,1,1))]. 7359 T(x,y * (((z * K(u,w)) \ 1) \ v5)) = T(x,y * ((K(w,u) / z) \ v5)). [para(7356(a,1),4135(a,1,2,2,1)),flip(a)]. 7360 K((x * (y \ 1)) \ 1,z) = K(y * (x \ 1),z). [hyper(189,a,7328,a(flip),b,7345,a)]. 7363 K((x \ 1) * (y \ 1),z) = K((y * x) \ 1,z). [hyper(189,a,5571,a(flip),b,7360,a(flip))]. 7364 K(x * (((x \ y) \ 1) \ 1),z) / (x \ T(y,z)) = 1 / (x \ y). [para(7360(a,1),5717(a,1,1))]. 7365 K(((x \ 1) * y) \ 1,z) = K((y \ 1) * x,z). [hyper(189,a,5561,a(flip),b,7363,a(flip))]. 7366 T(x,y) / ((1 / z) \ x) = K((z \ 1) * ((z \ 1) \ x),y) / z. [para(7365(a,1),5638(a,2,1))]. 7367 K(x,y) / (z \ T(x,y)) = 1 / (z \ x). [para(5565(a,1),7364(a,1,1))]. 7368 (1 / (x \ y)) \ K(y,z) = x \ T(y,z). [para(7367(a,1),69(a,1,1))]. 7370 (x \ y) * K(y,z) = x \ T(y,z). [hyper(7344,a,7368,a)]. 7371 (x / y) \ T(x,z) = y * K(x,z). [hyper(455,a,7370,a),flip(a)]. 7373 T(x,y) * K(x * y,z) = y \ T(x * y,z). [para(35(a,2),7370(a,1,1))]. 7375 (x \ T(y,z)) * K(z,y) != u | x \ y = u. [para(7370(a,1),3921(a,1,1)),flip(b)]. 7377 (x / y) * (y * K(x,z)) = T(x,z). [para(7371(a,1),17(a,1,2))]. 7378 (x \ y) / (z * K(y / x,x)) = (y / x) / z. [hyper(76,a,115,a(flip),b,7377,a)]. 7380 T(x,y) = (x / (y * x)) * (x * y). [para(95(a,1),7377(a,1,2)),flip(a)]. 7381 T(x,y) / (x * y) = R(1 / y,y,x). [hyper(76,a,7380,a,b,285,a)]. 7382 (x / (y * x)) * T(x * y,z) = T(x,y) * K(x * y,z). [para(7380(a,2),5139(a,1,1)),flip(a)]. 7383 R(1 / x,x,T(y,x)) = R(1 / x,x,y). [hyper(538,a,7381,a)]. 7384 (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(7381(a,1),1724(a,1,1)),flip(a)]. 7385 R(1 / x,x,y / x) = R(1 / x,x,x \ y). [para(115(a,1),7383(a,1,3)),flip(a)]. 7386 (1 / (x \ T(y,z))) \ K(z,y) = x \ y. [hyper(7375,a,7337,a(flip)),flip(a)]. 7388 (T(x,y) / z) \ x = (1 / z) \ K(y,x). [para(69(a,1),7386(a,1,1,2)),flip(a)]. 7389 K(x,(1 / (y \ T(L(L(x,z,u),w,v5),v6))) \ K(v6,L(L(x,z,u),w,v5))) = K(x,L(L(x,z,u),w,v5) / y). [para(7386(a,2),5411(a,2,2)),flip(a)]. 7390 T(x,y) * K(z,K(u,x * y)) = y \ T(x * y,K(z,u)). [para(5969(a,2),7373(a,1,2))]. 7391 (x \ y) / (z * K(x \ y,x)) = (y / x) / z. [para(3896(a,1),7378(a,1,2,2))]. 7392 R(1 / x,x,x \ y) \ (y / x) = x * (y / x). [para(7385(a,1),290(a,1,1))]. 7393 (x \ y) / (z / T(x,x \ y)) = (y / x) / (z / x). [para(5178(a,1),7391(a,1,2))]. 7394 ((x \ y) / y) * (x * (y / x)) = y / x. [para(7392(a,1),609(a,1,2))]. 7395 K(x,(y * (z / y)) / ((z / y) * x)) = K(x,((y \ z) / z) \ (x \ 1)). [para(7394(a,1),6758(a,1,2,2,1))]. 7396 (x \ y) / (1 / T(x,x \ y)) = L(y,x,x \ 1). [hyper(189,a,4215,a(flip),b,7393,a)]. 7397 L(x,y,y \ 1) != z | (y \ 1) \ (y \ x) = z. [para(7396(a,1),4288(a,1))]. 7398 T(x * K(y * x,z),y) = T(x,y) * K(x * y,z). [hyper(189,a,7319,a(flip),b,7382,a(flip)),flip(a)]. 7399 K(x,y * z) * T(y * K(z * y,x),z) = T(T(y,z),K(x,y * z)). [para(7398(a,2),6122(a,1,2))]. 7400 T(x,y) / ((1 / z) \ x) = K(x,y) / z. [para(17(a,1),7366(a,2,1,1))]. 7401 T(x,y) / ((1 / y) \ x) = 1 / T(y,x). [hyper(189,a,4362,a(flip),b,7400,a)]. 7402 T(x,y * L(y \ 1,y,z)) / ((1 / (y * L(y \ 1,y,z))) \ x) = 1 / (y * ((z * y) \ z)). [para(5810(a,1),7401(a,2,2))]. 7403 T(x,y * ((K(z,z \ 1) / u) \ w)) = T(x,y * ((u \ K(z,z \ 1)) \ w)). [para(3246(a,1),7359(a,1,2,2,1)),flip(a)]. 7404 K(x,(y * (z / y)) / ((z / y) * x)) = K(x,z / ((y \ z) * x)). [hyper(189,a,6761,a(flip),b,7395,a)]. 7405 K(x,R(x \ y,x,z / y)) = K(x,z / ((y \ z) * x)). [hyper(189,a,6762,a,b,7404,a(flip)),flip(a)]. 7406 K(x,R(x \ (y / z),x,y / (y / z))) = K(x,y / (z * x)). [para(69(a,1),7405(a,2,2,2,1))]. 7407 K(x,y * z) * T(y * K(z * y,x),z) = T(T(y,K(z,x)),z). [hyper(189,a,6670,a(flip),b,7399,a)]. 7408 K(x,y * z) * T(y * K(z * y,x),z) = T(y,T(z,x)). [hyper(189,a,6321,a(flip),b,7407,a)]. 7409 T(x,(K(y \ 1,y) * z) * ((u \ 1) \ w)) = T(x,z * ((u \ K(y,y \ 1)) \ w)). [hyper(189,a,5740,a,b,7403,a(flip)),flip(a)]. 7410 T(T(x * K(y * R(x,z,u),x),w),y) = R(T(x,w),y,R(T(x,w),z,u)). [para(4653(a,1),7314(a,1,1))]. 7411 R(T(x,y),z,R(T(x,y),u,w)) = R(T(x,y),z,R(x,u,w)). [hyper(189,a,5651,a(flip),b,7410,a(flip))]. 7412 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(7411(a,1),7292(a,2,1))]. 7413 K((T(x,y) \ R(x,z,u)) / w,R(x,z,u)) = K(w \ (T(x,y) \ R(x,z,u)),R(x,z,u)). [para(171(a,1),7262(a,1,2,1))]. 7414 L(K(x,x \ y),z / K(x,x \ y),u) \ (u * z) = T(u * (z * K(x \ y,x)),K(y,L(x,z,u))). [hyper(189,a,7321,a(flip),b,7290,a)]. 7415 K((T(T(x,y),z) * T(y,x)) \ u,T(x,y)) = K((T(x,z) * y) \ u,T(x,y)). [hyper(189,a,6244,a(flip),b,7313,a)]. 7416 K((T(T(x,y),z) * T(y,x)) \ u,T(x,y)) = K(u / (T(x,z) * y),x). [hyper(189,a,6830,a(flip),b,7415,a)]. 7417 K(T(x,y) \ (T(y,x) \ z),T(y,x)) = K(z / (T(y,u) * x),y). [hyper(189,a,7004,a(flip),b,7416,a(flip)),flip(a)]. 7419 K(T(x,y) \ (y \ z),T(y,x)) = K(z / (T(y,u) * x),y). [hyper(189,a,6571,a(flip),b,7417,a(flip)),flip(a)]. 7420 K(x / (T(y,z) * u),y) = K((y \ x) / u,y). [hyper(6332,a,7419,a),flip(a)]. 7422 K(x / (T(y,z) * u),y) = K(x / (u * y),y). [hyper(6451,a,7420,a(flip)),flip(a)]. 7423 K((x \ y) / z,x) = K(y / (x * z),x). [para(112(a,1),7420(a,1,1,2,1)),flip(a)]. 7424 K(x / (y * z),y) != u | K(x / (z * y),y) = u. [para(7423(a,1),6451(a,1))]. 7425 K((T(x,y) \ z) / u,x) = K(z / (u * x),x). [hyper(189,a,7024,a,b,7422,a(flip)),flip(a)]. 7427 T(x,K(y \ 1,y) * (z * ((u \ 1) \ w))) = T(x,z * ((u \ K(y,y \ 1)) \ w)). [para(3184(a,1),7409(a,1,2))]. 7428 T(x,y * ((z \ K(u,u \ 1)) \ w)) = T(x,y * ((z \ 1) \ w)). [hyper(189,a,4082,a(flip),b,7427,a(flip))]. 7430 K(x,y * ((z \ K(u,u \ 1)) \ w)) = x \ T(x,y * ((z \ 1) \ w)). [hyper(75,a,7428,a(flip),b,4396,a(flip)),flip(a)]. 7431 K(x,y * ((z \ K(u,u \ 1)) \ w)) = K(x,y * ((z \ 1) \ w)). [hyper(189,a,4360,a,b,7430,a)]. 7432 K(x,y * ((1 / z) \ u)) = K(x,y * ((z \ 1) \ u)). [para(1537(a,1),7431(a,1,2,2,1))]. 7433 K(x,(y \ 1) * ((1 / y) \ z)) = K(x,z). [para(17(a,1),7432(a,2,2))]. 7434 K(x,K(y \ 1,y) * z) = K(x,z). [para(2405(a,1),7433(a,1,2))]. 7435 K(x,((y \ 1) \ 1) \ z) = K(x,y \ z). [para(2445(a,1),7434(a,1,2))]. 7436 K(x,y * K(z,z \ 1)) = K(x,y). [para(2481(a,1),7434(a,1,2)),flip(a)]. 7437 K(x,(y \ L(y * (z / y),u,w)) * y) = K(x,L(z * K(y,y \ 1),u,w)). [para(2955(a,1),7434(a,1,2))]. 7438 K(x,(K(y \ 1,y) * z) / u) = K(x,z / u). [para(3185(a,2),7434(a,1,2))]. 7439 K(x,y \ ((z \ 1) \ 1)) = K(x,y \ z). [para(3450(a,1),7434(a,1,2)),flip(a)]. 7440 K(x,(K(y,y \ 1) * z) \ u) = K(x,z \ u). [para(4121(a,2),7434(a,1,2))]. 7441 K(x,y / (K(z,z \ 1) * u)) = K(x,y / u). [para(4143(a,2),7434(a,1,2))]. 7442 K(x,y \ (K(z,z \ 1) * u)) = K(x,y \ u). [para(4128(a,2),7436(a,1,2))]. 7443 K(x \ 1,y / (z * (x \ 1))) = K(x \ 1,(z / y) \ x). [hyper(189,a,6761,a(flip),b,7439,a(flip)),flip(a)]. 7444 K(x \ 1,R(y * (x \ 1),z,u) \ 1) = R(K(x \ 1,y \ x),z,u). [para(7439(a,1),5671(a,1,1)),flip(a)]. 7446 K(x,(y * (1 / z)) / u) = K(x,(y * (z \ 1)) / u). [para(2446(a,1),7438(a,1,2,1)),flip(a)]. 7447 K(x,(K(y \ 1,y) * z) \ u) = K(x,z \ u). [para(1538(a,1),7440(a,1,2,1,1))]. 7448 K(x,(y * (1 / z)) \ u) = K(x,(y * (z \ 1)) \ u). [para(2416(a,1),7440(a,1,2,1))]. 7449 K(x,y / (K(z \ 1,z) * u)) = K(x,y / u). [para(1538(a,1),7441(a,1,2,2,1))]. 7450 K(x,y / (z * (u / ((w \ 1) \ 1)))) = K(x,y / (z * (u / w))). [para(4116(a,1),7441(a,1,2,2)),flip(a)]. 7451 K(x,y \ (((z \ 1) \ 1) * u)) = K(x,y \ (z * u)). [para(2365(a,1),7442(a,1,2,2))]. 7452 K(x,((((y \ 1) \ 1) * z) \ u) \ w) = K(x,((y * z) \ u) \ w). [para(4127(a,1),7447(a,1,2,1))]. 7453 K(x,L(K(y \ 1,y) * z,u,w) \ v5) = K(x,L(z,u,w) \ v5). [para(5064(a,2),7447(a,1,2,1))]. 7454 K(x,y / ((((z \ 1) \ 1) \ u) * w)) = K(x,y / ((z \ u) * w)). [para(3221(a,1),7449(a,1,2,2))]. 7455 K(x,y / ((z / (1 / u)) * w)) = K(x,y / ((z / (u \ 1)) * w)). [para(3222(a,1),7449(a,1,2,2))]. 7456 K(x,(y * ((z \ 1) \ 1)) / u) = K(x,(y * z) / u). [para(67(a,1),7446(a,1,2,1,2)),flip(a)]. 7457 K(x \ 1,y / (z * (x \ 1))) = K(x \ 1,(y * x) / z). [hyper(189,a,7119,a(flip),b,7456,a(flip)),flip(a)]. 7458 K(x \ 1,y / R(z,x,x \ 1)) = K(x \ 1,(y * x) / (z * x)). [para(369(a,1),7457(a,1,2,2))]. 7459 K(x,y / (z * (x / ((z \ 1) \ 1)))) = K(x,(z * (x / z)) \ y). [hyper(189,a,5417,a(flip),b,7450,a)]. 7460 K(x,L((1 / y) * z,u,w) \ v5) = K(x,L((y \ 1) * z,u,w) \ v5). [para(2378(a,1),7453(a,1,2,1,1)),flip(a)]. 7461 K(x,y / ((z / ((u \ 1) \ 1)) * w)) = K(x,y / ((z / u) * w)). [para(67(a,1),7455(a,1,2,2,1,2)),flip(a)]. 7462 K(x,(y * (x / y)) \ z) = K(x,x \ z). [hyper(189,a,5816,a(flip),b,7459,a(flip))]. 7463 K(x,x \ (y * x)) = K(x,K(z \ x,z) * y). [hyper(6862,a,7462,a),flip(a)]. 7465 K(x,K(y \ x,y) * z) = K(x,z). [hyper(3940,a,7463,a),flip(a)]. 7467 K(x * y,K(y,x) * z) = K(x * y,z). [para(16(a,1),7465(a,1,2,1,1))]. 7468 K(x,K(y,y \ x) * z) = K(x,z). [para(3887(a,1),7465(a,1,2)),flip(a)]. 7469 (K(x,K(y \ z,y)) * K(z,x)) \ (x * K(y \ z,y)) = T(K(y \ z,y) * x,z). [para(7465(a,1),5179(a,1,1,2))]. 7470 K(x,y) * ((K(z,z \ x) * y) * x) = x * (K(z,z \ x) * y). [para(7468(a,1),4373(a,1,1))]. 7471 T((K(x,y) * z) * K(y * x,z),y * x) = K(x,y) * z. [para(7467(a,1),4374(a,1,1,2))]. 7472 (K(x,y) * z) * T(y * x,z) = (y * x) * (K(x,y) * z). [para(7471(a,1),5133(a,1,2)),flip(a)]. 7473 T(x,y) * T(K(z,z \ x) * y,x) = x * (K(z,z \ x) * y). [hyper(4691,a,7470,a)]. 7474 T(x,K(y,y \ x) * z) = T(x,z). [hyper(3556,a,7473,a)]. 7475 R(K(x,x \ y),z,T(y,K(x,x \ y) * z)) = (y * (K(x,x \ y) * z)) / (z * T(y,z)). [para(7474(a,1),155(a,1,2,2)),flip(a)]. 7476 K(x \ 1,y / R(z,x,x \ 1)) = K(x \ 1,y / z). [hyper(189,a,6946,a(flip),b,7458,a)]. 7477 K(x \ 1,y / T(z * (x \ 1),x)) = K(x \ 1,y / (x \ z)). [para(521(a,1),7476(a,1,2,2))]. 7478 K(x \ 1,y / (z * (x \ 1))) = K(x \ 1,y / (x \ z)). [hyper(189,a,6940,a(flip),b,7477,a(flip)),flip(a)]. 7479 K(x \ 1,y / (x \ z)) = K(x \ 1,(z / y) \ x). [hyper(189,a,7443,a(flip),b,7478,a(flip))]. 7480 R(K(x \ 1,(y / (z / u)) \ x),z / u,u) = K(x \ 1,z / ((x \ y) * u)). [para(7479(a,1),5678(a,1,1))]. 7481 K(x \ 1,R(y * (x \ 1),z,u) \ 1) != w | K(R(x,z,u) \ 1,y \ x) = w. [para(7444(a,2),4937(a,1))]. 7482 K(1 / x,L((x \ 1) * y,z,u) \ 1) = K(L(x,z,u) \ 1,y \ x). [hyper(7026,a,7460,a),flip(a)]. 7483 K(x \ 1,L((x \ 1) * y,z,u) \ 1) = K(L(x,z,u) \ 1,y \ x). [hyper(4254,a,7482,a)]. 7484 K(x,x * (x \ L(x * (y / x),z,u))) = K(x,L(y * K(x,x \ 1),z,u)). [hyper(4577,a,7437,a)]. 7485 K(x,L(y * K(x,x \ 1),z,u)) = K(x,L(x * (y / x),z,u)). [para(17(a,1),7484(a,1,2)),flip(a)]. 7487 K(x,L(K(x,x \ 1) * y,z,u)) = K(x,L(x * (y / x),z,u)). [para(2502(a,2),7485(a,1,2,1))]. 7488 K(x,L(x \ ((x \ 1) \ y),z,u)) = K(x,L(x * (y / x),z,u)). [hyper(189,a,7009,a,b,7487,a(flip)),flip(a)]. 7489 K(x,L(x \ ((x \ 1) \ y),z,u)) = K(x,L(y,z,u)). [hyper(189,a,5120,a(flip),b,7488,a)]. 7490 K(x,y \ (x \ (y * ((x \ 1) \ z)))) = K(x,L(z,x,y)). [hyper(7008,a,7489,a)]. 7491 K(R(x,y / z,z) \ 1,(u / (y / z)) \ x) = K(x \ 1,y / ((x \ u) * z)). [hyper(4937,a,7480,a)]. 7492 (K(x,K(y,y \ z)) * K(z,x)) \ (x * K(y \ z,y)) = T(K(y \ z,y) * x,z). [para(5983(a,1),7469(a,1,1,1))]. 7493 (K(x,K(y,z)) * K(z,x)) \ (x * K(y \ z,y)) = T(K(y \ z,y) * x,z). [para(5995(a,1),7492(a,1,1,1))]. 7494 K(x,T(y,z)) \ (y * K(z \ x,z)) = T(K(z \ x,z) * y,x). [para(5978(a,1),7493(a,1,1))]. 7495 K(x,T(y,z)) * (x * K(z \ y,z)) = T(K(z \ y,z) * x,y). [hyper(5402,a,7494,a)]. 7496 T(x,T(y,z)) * K(z \ y,z) = T(K(z \ y,z) * x,y). [hyper(4564,a,7495,a)]. 7497 T(K(x \ y,x) * z,y) = K(x \ y,x) * T(z,y). [hyper(189,a,6905,a(flip),b,7496,a(flip))]. 7498 T(K(x \ (y * x),x) * z,y * x) = K(y,x) * T(z,y * x). [para(3895(a,1),7497(a,2,1))]. 7499 T(K(x,y) * z,x * y) = K(x,y) * T(z,x * y). [para(3895(a,1),7498(a,1,1,1))]. 7500 T(x * K(y,z),z * y) = T(x,z * y) * K(y,z). [hyper(4992,a,7499,a),flip(a)]. 7501 (x * (y * z)) \ ((y * z) * T(x * K(z,y),y * z)) = L(K(z,y),T(x,y * z),y * z). [para(7500(a,2),153(a,1,2,2))]. 7502 1 * ((x \ R(x,y,z)) / K(u,R(x,w,v5))) = K(R(x,w,v5),u) * (x \ R(x,y,z)). [para(190(a,1),6336(a,1,1))]. 7504 1 * ((x \ R(x,y,z)) * K(R(x,u,w),v5)) = K(R(x,u,w),v5) * (x \ R(x,y,z)). [para(3890(a,1),7502(a,1,2))]. 7505 K(R(x,y,z),u) * (x \ R(x,y,z)) = 1 * (x \ R(T(x,u),y,z)). [para(5715(a,1),7504(a,1,2)),flip(a)]. 7506 K(R(x,y,z),u) * (x \ R(x,y,z)) = x \ R(T(x,u),y,z). [hyper(189,a,14,a(flip),b,7505,a)]. 7507 K(x,R(y,z,u)) * (y \ R(T(y,x),z,u)) = y \ R(y,z,u). [hyper(3907,a,7506,a)]. 7508 (x \ K(y,z)) * T((x \ K(y,z)) \ u,y) = x \ T(x * u,y). [para(17(a,1),6346(a,1,2,1)),flip(a)]. 7510 K(x,(y \ K(x,z)) \ u) = (y \ T(y * u,x)) \ u. [para(7508(a,1),5184(a,1,1)),flip(a)]. 7511 K(x,(y \ K(x,z)) \ u) = K(x,(y \ 1) \ u). [hyper(189,a,5243,a(flip),b,7510,a)]. 7512 K(x,((y \ 1) \ K(x,z)) \ u) = K(x,y \ u). [hyper(189,a,7435,a(flip),b,7511,a)]. 7513 K(x,((K(y,x) * (z \ 1)) \ 1) \ u) = K(x,z \ u). [para(7358(a,2),7512(a,1,2,1))]. 7514 K(x,(((y \ 1) * K(z,x)) \ 1) \ u) = K(x,y \ u). [para(6051(a,1),7513(a,1,2,1,1))]. 7515 K(x,((y * K(z,x)) \ 1) \ u) = K(x,(y \ 1) \ u). [hyper(189,a,7452,a(flip),b,7514,a(flip)),flip(a)]. 7516 K(x,((T(y,x) / z) \ 1) \ u) = K(x,((y / z) \ 1) \ u). [para(1097(a,1),7515(a,1,2,1,1))]. 7517 K(T(x,y * K(z * x,y)),T(u,x * z)) = K((x * K(x * z,x)) * K(x,y),u). [hyper(6268,a,6675,a)]. 7518 K(T(x,y * K(z * x,y)),T(u,z)) = K((x * K(x * z,x)) * K(x,y),u). [hyper(189,a,6453,a(flip),b,7517,a(flip)),flip(a)]. 7519 K((x * K(x * y,x)) * K(x,z),u) = K(x * K(T(x,y),z),T(u,y)). [hyper(189,a,6676,a(flip),b,7518,a(flip))]. 7520 K((x * K(x * y,x)) * K(x,z),u) = K(K(y,x) * T(x,z),u). [hyper(189,a,6404,a(flip),b,7519,a)]. 7521 K(T(x,y) * K(x * z,x),u) = K(K(z,x) * T(x,y),u). [para(4783(a,1),7520(a,1,1))]. 7522 K(K(x * y,x) * T(x,z),u) = K(K(y,x) * T(x,z),u). [para(2759(a,1),7521(a,1,1))]. 7523 K(K(x * y,x) * T(x,z),T(u,z)) = K(x,T(u,T(y,z))). [hyper(189,a,6658,a(flip),b,7522,a)]. 7524 K(x,T(y,T(x * z,u))) = K(x,T(y,T(z,u))). [hyper(6659,a,7523,a)]. 7525 K(x,T(x * y,T(y,z))) = K(x,x * y). [para(171(a,1),7524(a,1,2)),flip(a)]. 7526 K(x,T(x * T(y,z),y)) = K(x,x * T(y,z)). [para(6092(a,1),7525(a,1,2))]. 7527 K(T(x,y) \ z,T(z,T(x,z))) = K(T(x,y) \ z,(T(x,y) \ z) * T(x,y)). [hyper(189,a,4842,a(flip),b,7526,a(flip)),flip(a)]. 7528 K(T(x,y) \ z,T(z,T(x,z))) = K(T(x,y) \ z,T(x,y) * (T(x,y) \ z)). [hyper(189,a,4576,a,b,7527,a)]. 7529 K(T(x,y) \ z,T(z,T(x,z))) = K(T(x,y) \ z,z). [para(17(a,1),7528(a,2,2))]. 7530 K(T(x,y) \ z,T(z,x)) = K(T(x,y) \ z,z). [para(3521(a,1),7529(a,1,2))]. 7531 K(x,R(y,z,R(y,u,w))) = K(x,y). [hyper(20,a,7353,a(flip),b,6696,a)]. 7532 K(T(x,y),T(z,y)) = K(x,R(z,u,R(T(z,y),w,v5))). [hyper(6110,a,7531,a),flip(a)]. 7533 K(x,R(y,z,R(T(y,u),w,v5))) = K(x,y). [hyper(6101,a,7532,a),flip(a)]. 7535 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(7533(a,1),7507(a,1,1))]. 7536 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(4561,a,7535,a)]. 7537 K(x,y) * (y \ R(T(y,x),z,R(y,u,w))) = y \ R(y,z,R(T(y,x),u,w)). [para(7411(a,1),7535(a,1,2,2))]. 7538 R(x,y / x,z) \ R(T(x,T(u,y)),y / x,z) = K((y * z) / ((y / x) * z),u). [para(6389(a,1),6896(a,1,2,1))]. 7539 K(R(x,y / x,z),T(u,y)) = K((y * z) / ((y / x) * z),u). [hyper(4514,a,7538,a)]. 7540 K(R(x,y / x,z),u) = K((y * z) / ((y / x) * z),T(u,y)). [hyper(6079,a,7539,a)]. 7541 R(K((x / y) \ x,z),x,u) = K(R(y,x / y,u),z). [hyper(189,a,5762,a(flip),b,7540,a),flip(a)]. 7542 K(R(x,y / x,z),u) = R(K(x,u),y,z). [para(69(a,1),7541(a,1,1,1)),flip(a)]. 7543 R(K(x \ y,z),y,u) = K(R(x \ y,x,u),z). [para(67(a,1),7542(a,1,1,2)),flip(a)]. 7545 T(x * L(L(y,z,u),x,y),y * K(x,y)) = L(y * K(x,y),z,u) * T(x,y). [para(5055(a,1),6714(a,1,1))]. 7546 T(x * L(L(y,z,u),x,y),y * K(x,y)) = T(x,y) * L(y,z,u). [hyper(189,a,4508,a(flip),b,7545,a)]. 7547 T(x * L(L(y,x,y),z,u),y * K(x,y)) = T(x,y) * L(y,z,u). [para(48(a,1),7546(a,1,1,2))]. 7548 T(x * L(L(y,x,y),z,u),T(y,x)) = T(x,y) * L(y,z,u). [hyper(189,a,6093,a(flip),b,7547,a(flip)),flip(a)]. 7549 T(x * L(L(y,x,y),z,u),y) = T(x,y) * L(y,z,u). [hyper(189,a,7242,a(flip),b,7548,a(flip)),flip(a)]. 7550 K(x,L(L(x,y,x),z,u) / (y \ 1)) * (y \ (T(y,x) * L(x,z,u))) = L(L(x,y,x),z,u). [para(7549(a,1),4671(a,1,2,2))]. 7551 K(L(x,y * z,u),(x * y) \ (x * (y * z))) = K(x,L(L(z,y,x),x * y,u)). [para(16(a,1),6763(a,1,2,1))]. 7553 K(L(x,y * z,u),L(z,y,x)) = K(x,L(L(z,y,x),x * y,u)). [para(31(a,2),7551(a,1,2))]. 7554 K(L(x,y * z,u),z) = K(x,L(L(z,y,x),x * y,u)). [hyper(189,a,6779,a(flip),b,7553,a(flip)),flip(a)]. 7555 K(L(x,y * z,u),z) = K(x,L(z,x * y,u)). [hyper(189,a,6767,a(flip),b,7554,a)]. 7558 K(L(x,(x \ y) * z,u),z) = K(x,L(z,y,u)). [para(17(a,1),7555(a,2,2,2))]. 7559 K(x,L(y,x * (z / y),u)) = K(L(x,z,u),y). [para(19(a,1),7555(a,1,1,2)),flip(a)]. 7560 K(x,L(y,z,y)) = K(x,y). [hyper(189,a,6980,a(flip),b,7558,a(flip))]. 7561 K(x,y \ K(z,L(x,u,w))) = K(x,y \ 1). [para(7558(a,1),6182(a,1,2,2))]. 7562 T(x,L(y,z,y)) = x * K(x,y). [para(7560(a,1),4396(a,2,2))]. 7563 T(x,L(y,z,y)) = T(x,y). [hyper(189,a,4396,a,b,7562,a)]. 7564 T(x / L(y,z,y),y) = L(y,z,y) \ x. [hyper(307,a,7563,a),flip(a)]. 7565 T(x * L(y,x,y),L(y,z,y)) = T(x,y) * y. [hyper(189,a,3725,a(flip),b,7563,a)]. 7569 (x / L(y,z,y)) * y = y * (L(y,z,y) \ x). [para(7564(a,1),113(a,1,2)),flip(a)]. 7570 K(x,(T(L(x,y,z),u) \ w) \ 1) = K(x,w \ L(x,y,z)). [hyper(189,a,5593,a(flip),b,7561,a(flip))]. 7571 K(x,y \ K(z,L(L(x,u,w),v5,v6))) = K(x,y \ 1). [para(7558(a,1),7561(a,1,2,2))]. 7572 K(L(R(x,y,z),u,x),w) = K(R(x,y,z),w). [hyper(7025,a,7559,a),flip(a)]. 7573 T(x,y * K(L(x,z,u),w)) = T(x,y). [para(7559(a,1),6153(a,1,2,2))]. 7574 K(K(L(x,y,z),u) * w,x) = K(w,x). [para(7559(a,1),6201(a,1,1,1))]. 7575 T(x,L(x,y,z) * u) = T(x,u * L(x,y,z)). [para(95(a,1),7573(a,1,2))]. 7576 K(x,T(y,K(L(x,z,u),w) * v5)) = K(x * K(v5,x),y). [para(7574(a,1),6046(a,1,1,2)),flip(a)]. 7577 K(x * T(L(y,z,u),w),y) = K(x * L(y,z,u),y). [para(6095(a,1),7574(a,1,1))]. 7578 K(R(L(x,y,x),z,u),w) = K(R(x,z,u),w). [para(47(a,2),7572(a,1,1))]. 7579 ((x / L(T(y,z),u,T(y,z))) * K(y,z)) * y = T(y,z) * (L(T(y,z),u,T(y,z)) \ x). [hyper(5202,a,7569,a)]. 7580 K(x,T(y,z * L(y,u,w))) = K(x,T(y,z)). [para(7575(a,1),7029(a,1,2))]. 7581 K(x,T(y,z * (u * y))) = K(x,T(y,z * u)). [para(102(a,1),7580(a,1,2,2))]. 7582 K(x,T(y,z * (y * u))) = K(x,T(y,z * u)). [para(6164(a,1),7581(a,1,2))]. 7583 K(x * y,T(x,z * y)) = K(x * y,T(x,z)). [hyper(189,a,5412,a(flip),b,7582,a(flip))]. 7584 K(T(x,y) * z,T(x,u * z)) = K(x * z,T(x,u)). [hyper(189,a,6243,a,b,7583,a(flip)),flip(a)]. 7585 K(x * (y \ z),T(x,z)) = K(x * (y \ z),T(x,y)). [para(17(a,1),7583(a,1,2,2))]. 7586 K(x * L(T(y,z),u,w),y) = K(x * L(y,u,w),y). [para(43(a,2),7577(a,1,1,2))]. 7587 T(T(x * K(y * L(x,z,u),x),w),y) = R(T(x,w),y,L(T(x,w),z,u)). [para(7586(a,1),5050(a,1,1,1,2))]. 7588 K(x,T(y,K(L(x,z,u),w) * v5)) = K(x,T(y,v5)). [hyper(189,a,6046,a(flip),b,7576,a)]. 7589 K(x,T(y,K(x,z) * u)) = K(x,T(y,u)). [para(262(a,1),7588(a,1,2,2,1,1))]. 7590 K(x,T(y,z / L(x,u,w))) = K(x,T(y,L(x,u,w) \ z)). [para(4296(a,1),7588(a,1,2,2))]. 7591 K(x,T((K(x,y) * z) / u,z)) = K(x,u \ (K(x,y) * z)). [hyper(5325,a,7589,a),flip(a)]. 7592 K(x,T(y,T(z,x) \ u)) = K(x,T(y,z \ u)). [para(4558(a,1),7589(a,1,2,2))]. 7593 K(x,T(y,z * K(x,u))) = K(x,T(y,z)). [para(6024(a,1),7589(a,1,2,2))]. 7594 K(x,T(y,z * (u * x))) = K(x,T(y,z * (x * u))). [para(5943(a,1),7593(a,1,2,2)),flip(a)]. 7595 K(x,T(y,(z \ (x * u)) \ x)) = K(x,T(y,u \ z)). [hyper(7191,a,7592,a),flip(a)]. 7596 K(x,T(y,(x * z) \ u)) = K(x,T(y,z \ u)). [hyper(7264,a,7595,a)]. 7597 K(x,T(y,(x \ z) \ u)) = K(x,T(y,z \ u)). [para(17(a,1),7596(a,1,2,2,1)),flip(a)]. 7598 K(x,T(y,(z * u) \ ((x * z) * u))) = K(x,T(y,a(x,z,u))). [para(27(a,2),7596(a,1,2,2)),flip(a)]. 7599 K(x,T(y,z \ (x * u))) = K(x,T(y,z \ u)). [hyper(189,a,6997,a(flip),b,7597,a(flip)),flip(a)]. 7600 K(x,T(y,z \ (x \ u))) = K(x,T(y,z \ u)). [para(17(a,1),7599(a,1,2,2,2)),flip(a)]. 7601 T(x,T(y,z \ (x * u))) = x * K(x,T(y,z \ u)). [para(7599(a,1),4396(a,2,2))]. 7602 K(x,T(T(x \ y,z),u \ y)) = K(x,T(T(x \ y,z),u)). [hyper(7248,a,7600,a),flip(a)]. 7603 T(x,T(y,z \ (x * u))) = T(x,T(y,z \ u)). [hyper(189,a,4396,a,b,7601,a)]. 7604 T(x,T(y,z \ (x \ u))) = T(x,T(y,z \ u)). [para(17(a,1),7603(a,1,2,2,2)),flip(a)]. 7605 T(x,T(y \ (x \ z),y \ z)) = T(x,y \ (x \ z)). [para(112(a,1),7604(a,1,2)),flip(a)]. 7606 K(x,(L(T(x,y),z,u) \ w) \ 1) = K(x,w \ L(x,z,u)). [para(43(a,2),7570(a,1,2,1,1))]. 7607 K(x,T(y,z / L(x,u,w))) = K(x,T(y,z)). [hyper(189,a,6796,a(flip),b,7590,a)]. 7609 K(x,T(y,z * (u * x))) = K(x,T(y,z * u)). [para(128(a,1),7607(a,1,2,2)),flip(a)]. 7610 K(x,T(y,z * (x * u))) = K(x,T(y,z * u)). [hyper(189,a,7594,a(flip),b,7609,a(flip)),flip(a)]. 7611 K(x,T(x * y,z * y)) = K(x,T(x * y,z)). [hyper(5498,a,7610,a),flip(a)]. 7612 K(x,T(x * y,z * y)) = K(x,T(y * x,z)). [hyper(189,a,4579,a,b,7611,a)]. 7613 (x * y) / (x * (z \ T(z * y,z))) = L(K(z,T(y * z,x)),y,x). [para(7612(a,1),7053(a,1,1)),flip(a)]. 7614 K(x,T(y / z,y)) = K(x,z \ (K(x,u) * y)). [hyper(7185,a,7591,a)]. 7615 K(x,y \ (K(x,z) * u)) = K(x,y \ u). [hyper(5325,a,7614,a),flip(a)]. 7616 K(x,y \ ((x \ z) * x)) = K(x,y \ z). [para(4293(a,1),7615(a,1,2,2)),flip(a)]. 7617 K(x,y \ (z * x)) = K(x,y \ (x * z)). [para(4373(a,1),7615(a,1,2,2)),flip(a)]. 7618 K(x,T(y \ (K(x,z) * u),w)) = T(K(x,y \ u),w). [para(7615(a,1),5334(a,2,1))]. 7619 K(x,y \ (z * K(u,x))) = K(x,y \ z). [para(6052(a,1),7615(a,1,2,2)),flip(a)]. 7620 K(x,y \ ((x \ 1) * (z * x))) = K(x,y \ z). [para(486(a,2),7616(a,1,2,2))]. 7621 K(x,K(y,z \ (y \ u))) = K(x,K(y,z \ u)). [para(7616(a,1),6897(a,1,2)),flip(a)]. 7622 K(x,y \ (z \ T(u,x))) = K(x,y \ (z \ u)). [para(1077(a,1),7619(a,1,2,2))]. 7623 K(x / y,z \ (x / y)) = K(x / y,z \ (y \ x)). [para(4305(a,1),7619(a,1,2,2))]. 7624 (K(x,K(y,z \ u)) * w) / (y \ w) = T(y,K(x,z \ (y \ u))). [para(7621(a,1),5974(a,1,1,1))]. 7625 K(x,y \ ((T(z,x) / u) \ z)) = K(x,y \ u). [para(69(a,1),7622(a,1,2,2)),flip(a)]. 7626 K(x,((T(y,x) / z) \ 1) \ z) = z \ ((T(y,x) / z) \ y). [hyper(189,a,5509,a(flip),b,7625,a(flip))]. 7627 K(x,T(y \ (K(x,z) * u),w)) = K(x,T(y \ u,w)). [hyper(189,a,5334,a,b,7618,a)]. 7628 K(x / y,z \ (x / y)) = K(y \ x,(z * y) \ x). [hyper(189,a,6895,a(flip),b,7623,a)]. 7629 K(x,T(y \ (z / (z / x)),u)) = K(x,T(y \ x,u)). [para(4345(a,1),7627(a,1,2,1,2)),flip(a)]. 7630 K(x / y,z \ (x / y)) = K(y \ x,y \ (z \ x)). [hyper(189,a,7187,a(flip),b,7628,a)]. 7632 K(x / (x / y),z \ (u / (u / y))) = K(y,T(z \ y,x)). [hyper(6272,a,7629,a)]. 7633 K(x,T(T(x \ y,z),y \ u)) = K(x,T(T(x \ y,z),u)). [hyper(7247,a,7602,a)]. 7634 K(x,y \ L(T(x,z),u,w)) = K(x,y \ L(x,u,w)). [hyper(5259,a,7606,a)]. 7635 K((x \ y) \ T(y,x),z \ L((x \ y) \ T(y,x),u,w)) = K((x \ y) \ T(y,x),z \ L(T(x,x \ y),u,w)). [para(1046(a,1),7634(a,1,2,2,1)),flip(a)]. 7636 K((x \ y) \ T(y,x),z \ L(L(T(x,x \ y),y,x),u,w)) = K((x \ y) \ T(y,x),z \ L((x \ y) \ T(y,x),u,w)). [para(1047(a,1),7634(a,1,2,2,1))]. 7638 K(x,((y / z) \ 1) \ z) = z \ ((T(y,x) / z) \ y). [hyper(189,a,7516,a(flip),b,7626,a(flip)),flip(a)]. 7639 (T(x,y) / z) \ x = z * K(y,((x / z) \ 1) \ z). [para(7638(a,2),17(a,1,2)),flip(a)]. 7640 x * K(y,((z / x) \ 1) \ x) = (1 / x) \ K(y,z). [hyper(189,a,7388,a(flip),b,7639,a(flip))]. 7641 (1 / x) \ K(y,z * x) = x * K(y,(z \ 1) \ x). [para(18(a,1),7640(a,1,2,2,1,1)),flip(a)]. 7642 K(x,(y \ 1) \ z) = K(x,y * z). [hyper(7339,a,7641,a),flip(a)]. 7644 K((x / y) \ x,(x / y) \ (z \ x)) = K(y,T(z \ y,x)). [hyper(189,a,7630,a(flip),b,7632,a(flip)),flip(a)]. 7645 K(x,T(T(x \ y,z),y * u)) = K(x,T(T(x \ y,z),u)). [para(16(a,1),7633(a,1,2,2)),flip(a)]. 7646 K(x,(y / x) \ (z \ y)) = K(x,T(z \ x,y)). [hyper(4628,a,7644,a)]. 7648 K(x,y \ (x * (z \ y))) = K(x,T(z \ x,y)). [hyper(189,a,6362,a(flip),b,7646,a(flip)),flip(a)]. 7649 K(x,y \ ((z \ y) * x)) = K(x,T(z \ x,y)). [hyper(189,a,7617,a,b,7648,a(flip)),flip(a)]. 7650 K(x,T(y \ x,x * z)) = K(x,z \ (y \ (x * z))). [hyper(189,a,7132,a(flip),b,7649,a(flip))]. 7651 K(x,y \ (z \ (x * y))) = K(x,T(z \ x,y)). [hyper(189,a,5421,a(flip),b,7650,a(flip))]. 7652 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(5895(a,1),7651(a,1,2))]. 7653 L(K(x,T(T(x \ y,z),z)),z,y) = (y * (K(x,x \ y) * z)) / (y * z). [para(7645(a,1),6741(a,1,1))]. 7654 K(x,T(y,R(T(x,z * u),z,u))) = K(x,T(y,a(x,z,u))). [para(507(a,1),7598(a,1,2,2))]. 7655 K(x,T(y,a(x,z,u))) = K(x,y). [hyper(6103,a,7654,a),flip(a)]. 7657 T(x,T(y,a(x,z,u))) = x * K(x,y). [para(7655(a,1),4396(a,2,2))]. 7658 T(x,T(y,a(x,z,u))) = T(x,y). [hyper(189,a,4396,a,b,7657,a)]. 7659 (T(x,x \ y) * a(x,z,u)) \ (a(x,z,u) * ((x \ y) \ y)) = K(a(x,z,u),x). [para(7658(a,1),6399(a,1,1,1))]. 7660 T(x,K(y,z \ (x \ u))) = T(x,K(y,z \ u)). [hyper(5977,a,7624,a),flip(a)]. 7661 K(x,y \ (x \ z)) * T(x,K(u,y \ z)) = T(x,T(y \ (x \ z),u)). [para(7660(a,1),6685(a,1,2))]. 7662 R(T(x,y),z,L(T(x,y),u,w)) = R(T(x,y),z,L(x,u,w)). [hyper(189,a,5650,a(flip),b,7587,a(flip))]. 7664 (x * (K(y,y \ x) * z)) / (x * z) = L(K(y,y \ x),z,x). [para(6026(a,1),7653(a,1,1)),flip(a)]. 7666 K(a(x,y,z),T(x,u)) = K(a(x,y,z),x). [hyper(5495,a,7659,a)]. 7667 T(x,y) * (L(T(x,y),z,T(x,y)) \ u) = ((u / L(T(x,y),z,x)) * K(x,y)) * x. [para(6528(a,1),7579(a,1,1,1,2)),flip(a)]. 7669 T(x,y) * (L(T(x,y),z,T(x,y)) \ u) = (u / L(x,z,x)) * x. [para(6525(a,1),7667(a,2,1))]. 7670 T(x,y) * (L(T(x,y),z,T(x,y)) \ u) = x * (L(x,z,x) \ u). [hyper(189,a,7569,a(flip),b,7669,a)]. 7672 T(x,y) * (L(T(x,y),z,x) \ u) = x * (L(x,z,x) \ u). [para(6528(a,1),7670(a,1,2,1))]. 7674 L(x \ y,x,K(y,z)) * (K(y,z) * x) = K(x \ T(y,z),x) * (K(y,z) * y). [para(17(a,1),6872(a,1,2,2)),flip(a)]. 7676 L(x \ y,x,K(y,z)) * (K(y,z) * x) = K(x \ T(y,z),x) * T(y,z). [para(4403(a,2),7674(a,2,2))]. 7677 L(x \ y,x,K(y,z)) * (K(y,z) * x) = (x \ T(y,z)) * x. [hyper(189,a,4291,a(flip),b,7676,a)]. 7678 L(x \ y,x,K(y,z)) * (K(y,z) * x) = T((x \ y) * x,z). [hyper(189,a,4153,a,b,7677,a)]. 7679 L(x \ y,x,K(y,z)) * (K(y,z) * x) != u | T((x \ y) * x,z) = u. [para(7677(a,2),4155(a,1))]. 7680 L(x \ L(y,z,u),x,K(L(y,z,u),y \ w)) * (K(L(y,z,u),w / y) * x) = T((x \ L(y,z,u)) * x,w / y). [para(5416(a,1),7678(a,1,1,3))]. 7681 L(K(x * ((y * z) \ y),x),(y * z) \ y,z * y) = K((z * y) \ (y * (K(z,y) * x)),x). [para(3828(a,1),7085(a,2,1,2))]. 7682 L(K(x,x * (y \ z)),y \ z,z * (y / z)) = K(x,L((z \ y) \ x,y / z,z)). [para(4016(a,1),7090(a,2,2))]. 7683 L(K(x,x * (y \ z)),y \ z,z * (y / z)) = K(x,y \ (z * x)). [hyper(189,a,5933,a(flip),b,7682,a)]. 7684 T(x,y) \ R(T(x,y),y,R(T(x,y),z,u)) = K(R(x,z,u) * y,x) * K(T(x,y),y). [para(7244(a,1),7312(a,1,1)),flip(a)]. 7685 T(x,y) \ R(T(x,y),y,R(T(x,y),z,u)) = K(R(x,z,u) * y,x) * K(x,y). [para(3876(a,1),7684(a,2,2))]. 7686 K(R(x,y,z) * u,x) * K(x,u) = x \ R(x,u,R(T(x,u),y,z)). [hyper(189,a,7536,a(flip),b,7685,a(flip))]. 7688 x \ R(x,y,R(T(x,y),z,u)) = L(x,y,R(x,z,u)) \ x. [hyper(189,a,7198,a(flip),b,7686,a(flip))]. 7689 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(7278(a,1),7412(a,1,2,1))]. 7690 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(4558(a,1),7689(a,1,2))]. 7692 R(K(x,x \ y),z,T(y,K(x,x \ y) * z)) = (y * (K(x,x \ y) * z)) / (y * z). [para(113(a,1),7475(a,2,2))]. 7693 (x * (y * z)) \ ((x * K(z,y)) * (y * z)) = L(K(z,y),T(x,y * z),y * z). [para(113(a,1),7501(a,1,2))]. 7694 L(K(x,y),T(z,y * x),y * x) != u | K(((z / x) * (y * x)) \ (z * (y * x)),y) = u. [para(7693(a,1),5609(a,1))]. 7695 K(x,(y \ 1) \ L(L(x,y,x),z,u)) * (y \ (T(y,x) * L(x,z,u))) = L(L(x,y,x),z,u). [para(5411(a,1),7550(a,1,1))]. 7696 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(189,a,7142,a(flip),b,7652,a(flip)),flip(a)]. 7697 L(K(x * ((y * z) \ y),x),(y * z) \ y,z * y) = K(L(z \ x,T(z,y),y),x). [para(4556(a,1),7681(a,2,1))]. 7698 L(K(x * ((y * z) \ y),x),(y * z) \ y,z * y) = K(z \ x,x). [hyper(189,a,5536,a(flip),b,7697,a)]. 7700 K(L(x,y,z),u \ ((1 / x) \ L(K(x,w),v5,v6))) = K(L(x,y,z),(x \ u) \ 1). [hyper(189,a,7171,a(flip),b,6791,a)]. 7702 K(L(x,y,z),u \ ((1 / x) \ L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). [hyper(189,a,5258,a(flip),b,7700,a)]. 7703 K(L(x,y,z),u \ (x * L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). [para(5900(a,1),7702(a,1,2,2))]. 7704 K((T(x,y) \ z) \ (T(x,y) \ R(x,u,w)),R(x,u,w)) = K(z \ R(x,u,w),R((T(x,y) \ 1) \ K(y,x),u,w)). [para(4350(a,2),6900(a,1,2,1,2)),flip(a)]. 7705 (((x * y) \ x) \ 1) / ((1 / (y * L(y \ 1,y,z))) \ (L(y \ 1,y,x) \ 1)) = 1 / (y * ((z * y) \ z)). [para(5551(a,1),7402(a,1,1))]. 7706 R(R(x,y,z),y * z,L(K(z,u),z,x * y)) = ((x * y) * T(z,u)) / ((y * z) * K(z,u)). [para(4396(a,2),5901(a,2,1,2))]. 7707 R(R(x,y,z),y * z,L(K(z,u),z,x * y)) = ((x * y) * T(z,u)) / (y * T(z,u)). [para(5139(a,1),7706(a,2,2))]. 7708 R(R(x,y,z),y * z,K(z,u)) = ((x * y) * T(z,u)) / (y * T(z,u)). [para(5897(a,1),7707(a,1,3))]. 7709 R(R(x,y,z),y * z,K(z,u)) != w | R(x,y,T(z,u)) = w. [para(7708(a,2),385(a,1))]. 7711 R(x,y,T(x,z)) = R(x,y,x). [hyper(7709,a,6146,a)]. 7715 R(x,y,(x \ z) \ z) = R(x,y,x). [para(114(a,1),7711(a,1,3))]. 7716 R(T(x,x \ y),z,T((x \ y) \ y,u)) = R(T(x,x \ y),z,T(x,x \ y)). [para(525(a,1),7711(a,1,3))]. 7717 x \ R(T(y,y \ z),u,T((y \ z) \ z,w)) = x \ R((y \ z) \ z,u,(y \ z) \ z). [para(7711(a,1),836(a,2,2))]. 7720 R(T(x,x \ y),z,T((x \ y) \ y,u)) = R(T(x,x \ y),z,x). [hyper(189,a,6434,a(flip),b,7716,a)]. 7722 x \ R(T(y,y \ z),u,y) = x \ R((y \ z) \ z,u,(y \ z) \ z). [para(7720(a,1),7717(a,1,2))]. 7723 T(x,x \ y) \ R((x \ y) \ y,z,(x \ y) \ y) = x \ R(x,z,x). [hyper(189,a,6527,a(flip),b,7722,a(flip))]. 7724 L(K(x * y,x) * K(x,K(z * y,y)),y,z) = (z * (T(x * y,x) / T(x,y))) / (z * y). [para(5998(a,1),5989(a,1,1,2))]. 7725 L(K(x * y,x) * K(x,K(y * z,y)),y,z) = (z * (T(x * y,x) / T(x,y))) / (z * y). [para(4617(a,1),7724(a,1,1,2,2))]. 7726 L(K(x * y,x) * K(x,K(y,y * z)),y,z) = (z * (T(x * y,x) / T(x,y))) / (z * y). [para(5983(a,1),7725(a,1,1,2))]. 7727 (x * (T(y * z,y) / T(y,z))) / (x * z) = L(K(y * z,y) * K(y,K(z,x)),z,x). [para(5965(a,1),7726(a,1,1,2)),flip(a)]. 7728 L(K(x * y,x) * K(x,K(y,z)),y,z) = (z * (x \ T(x * y,x))) / (z * y). [para(3977(a,1),7727(a,1,1,2)),flip(a)]. 7729 (x * (y \ T(y * z,y))) / (x * z) = L(K(y * z,T(y,x)),z,x). [para(6367(a,1),7728(a,1,1)),flip(a)]. 7730 L(K(x * y,T(x,z)),y,z) = K((z * y) / (z * (x \ 1)),x). [hyper(189,a,4956,a(flip),b,7729,a(flip))]. 7731 L(K(x * y,T(x,z)),y,z) = K((z * y) / (x \ z),x). [hyper(189,a,6939,a(flip),b,7730,a)]. 7732 L(K(x * y,T(x,z)),y,z) = K((z / (z * y)) \ x,x). [hyper(189,a,7037,a(flip),b,7731,a)]. 7733 L(K(x * y,T(y,z)),x,z) = K((z / (z * x)) \ y,y). [para(4921(a,2),7732(a,1,1))]. 7734 K(x \ R(x,y,z),R(x,x \ R(x,y,z),y * z)) = K(a(x,y,z),x). [hyper(7062,a,7666,a)]. 7735 K(a(x,y,z),x) = 1. [hyper(4922,a,7734,a),flip(a)]. 7736 T(a(x,y,z),x) = a(x,y,z). [hyper(40,a,7735,a)]. 7737 T(x,a(x,y,z)) = x. [hyper(38,a,7736,a)]. 7738 L(x,y,z) * a(x,u,w) = a(x,u,w) * L(x,y,z). [para(7737(a,1),159(a,1,2,1)),flip(a)]. 7739 ((x * L(y,z,u)) * a(y,w,v5)) \ ((x * (a(y,w,v5) * L(y,z,u))) * a(y,w,v5)) = L(a(y,w,v5),L(y,z,u),x). [para(7738(a,1),1266(a,2,2,1,2)),flip(a)]. 7740 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(4692,a,7690,a)]. 7741 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). [para(5380(a,1),7740(a,1,1))]. 7742 K(T(T(x,y),x \ 1),z \ ((T(x,y) \ 1) * y)) = K((x \ 1) \ 1,((x \ 1) * T(y,x)) / z). [para(3536(a,1),6462(a,1,1))]. 7743 K(T(x,y),z \ ((T(x,y) \ 1) * y)) = K((x \ 1) \ 1,((x \ 1) * T(y,x)) / z). [hyper(6318,a,7742,a)]. 7744 K(T(x,y),z \ ((T(x,y) \ 1) * y)) = K(x,((x \ 1) * T(y,x)) / z). [hyper(189,a,2648,a(flip),b,7743,a)]. 7745 K(T(x,y),z \ ((T(x,y) \ 1) * y)) != u | K(x,((x \ 1) * y) / z) = u. [para(7744(a,2),6886(a,1))]. 7746 ((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(3889(a,1),6657(a,1,1,1))]. 7747 (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(4376(a,1),6693(a,1,1))]. 7748 a(x,K(x,y) * z,R(x,u,w)) = a(T(x,y),z,R(x,u,w)). [hyper(553,a,7747,a),flip(a)]. 7749 a(x,K(x,y) * z,R(x,u,w)) != v5 | a(T(x,y),z,R(x,u,w)) = v5. [para(7747(a,1),553(a,1))]. 7750 a(T(x,y),T(x,y) \ z,R(x,u,w)) = a(x,x \ z,R(x,u,w)). [para(4541(a,1),7748(a,1,2)),flip(a)]. 7751 L(K(x,x \ y),z / K(x,x \ y),y) \ (y * z) = T(y * (z * K(x \ y,x)),K(y,x)). [para(6765(a,1),7414(a,2,2))]. 7752 L(K(x,x \ y),z / K(x,x \ y),y) \ (y * z) = y * (K(x \ y,x) * z). [hyper(189,a,7196,a(flip),b,7751,a)]. 7753 L(K(x,x \ y),z * K(x \ y,x),y) \ (y * z) = y * (K(x \ y,x) * z). [para(3890(a,1),7752(a,1,1,2))]. 7754 L(K(x,x \ y),z,y) \ (y * z) = y * (K(x \ y,x) * z). [para(6611(a,1),7753(a,1,1))]. 7755 x * (K(y \ x,y) * z) != u | L(K(y \ x,y),z,x) * (x * z) = u. [para(7754(a,1),5918(a,1))]. 7757 ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = ((K(y,x) * z) * K(x,y)) * K(u,x). [para(2003(a,1),7746(a,1,1,2)),flip(a)]. 7758 ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = T(z,K(x,y)) * K(u,x). [para(3956(a,1),7757(a,2,1))]. 7759 ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = T(z * K(u,x),K(x,y)). [hyper(189,a,6576,a,b,7758,a)]. 7760 (K(x,y) \ z) * (K(x,y) * K(u,x)) = T(z * K(u,x),K(x,y)). [para(2005(a,1),7759(a,1,1,1))]. 7761 (K(x,y) * z) * (K(y,x) * K(u,y)) = T(z * K(u,y),K(y,x)). [para(3889(a,1),7760(a,1,1))]. 7762 (K(x,y) * z) * (K(y,x) * K(u,y)) = T(z * K(u,y),K(x,y)). [hyper(189,a,6118,a,b,7761,a)]. 7763 (K(x,y) * z) * (K(u,y) * K(y,x)) = T(z * K(u,y),K(x,y)). [para(1959(a,1),7762(a,1,2))]. 7764 (K(x,y) * z) * (K(y,x) * K(u,y)) != w | T(z * K(u,y),K(y,x)) = w. [para(7762(a,2),6121(a,1))]. 7765 T(x * K(y,z),K(u,z)) / (K(u,z) * x) = (K(y,z) * K(z,u)) * K(K(u,z) * x,K(y,z) * K(z,u)). [hyper(76,a,7763,a(flip),b,4405,a)]. 7766 K(R(((T(x,y) * y) / x) \ (T(x,y) * y),z,u),T(x,y) * y) = K(R(x,z,u),T(T(x,y) * y,y)). [hyper(189,a,6077,a(flip),b,7057,a)]. 7767 K(R(((T(x,y) * y) / x) \ (T(x,y) * y),z,u),T(x,y) * y) = K(R(x,z,u),T(x * y,y)). [hyper(189,a,5647,a(flip),b,7766,a)]. 7768 K(R(x,y,z),T(x * u,u)) = K(R(x,y,z),T(x,u) * u). [para(69(a,1),7767(a,1,1,1)),flip(a)]. 7769 K(R(x,y,z),T(x * u,u)) = K(R(x,y,z),x * u). [hyper(189,a,5056,a(flip),b,7768,a)]. 7770 K(R(x,y,z),x * L(u,x,u)) = K(R(x,y,z),T(x,u) * u). [para(7565(a,1),7769(a,1,2)),flip(a)]. 7771 K(R(x,y,z),x * L(u,x,u)) = K(R(x,y,z),x * u). [hyper(189,a,5056,a(flip),b,7770,a)]. 7772 K(x,(1 / (y \ T(L(L(x,z,u),w,v5),v6))) \ K(v6,L(L(x,z,u),w,v5))) = K(x,y \ L(L(x,z,u),w,v5)). [hyper(189,a,5411,a(flip),b,7389,a)]. 7773 T(x * K(y,z),K(z,u)) / (K(u,z) * x) = (K(y,z) * K(z,u)) * K(K(u,z) * x,K(y,z) * K(z,u)). [para(6118(a,1),7765(a,1,1))]. 7774 K(x,(1 / (y \ L(T(L(x,z,u),w),v5,v6))) \ K(w,L(L(x,z,u),v5,v6))) = K(x,y \ L(L(x,z,u),v5,v6)). [para(43(a,2),7772(a,1,2,1,2,2))]. 7775 K(x,(1 / (y \ L(L(T(x,z),u,w),v5,v6))) \ K(z,L(L(x,u,w),v5,v6))) = K(x,y \ L(L(x,u,w),v5,v6)). [para(43(a,2),7774(a,1,2,1,2,2,1))]. 7776 K(x,(1 / (y \ L(L(T(x,z),u,w),v5,v6))) \ 1) = K(x,y \ L(L(x,u,w),v5,v6)). [hyper(189,a,7571,a(flip),b,7775,a(flip)),flip(a)]. 7778 K(x,y \ L(L(T(x,z),u,w),v5,v6)) = K(x,y \ L(L(x,u,w),v5,v6)). [para(69(a,1),7776(a,1,2))]. 7780 R(T(x,K(y,z) * K(u,y)),K(y,z),K(u,y)) = T(L(T(x,K(u,y)),K(u,y),K(y,z)),K(y,z)). [para(154(a,1),6563(a,1,1)),flip(a)]. 7781 R(T(x,K(y,z) * K(u,y)),K(y,z),K(u,y)) = T(L(T(x,K(y,u)),K(u,y),K(y,z)),K(y,z)). [para(6118(a,1),7780(a,2,1,1))]. 7782 R(T(x,K(y,z) * K(u,y)),K(y,z),K(u,y)) = L(T(T(x,K(y,u)),K(y,z)),K(u,y),K(y,z)). [hyper(189,a,43,a,b,7781,a)]. 7783 L(T(T(x,K(y,z)),K(y,u)),K(z,y),K(y,u)) = T(x,K(y,u) * K(z,y)). [hyper(189,a,6656,a(flip),b,7782,a(flip))]. 7785 (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(7381(a,1),7384(a,2,2,1,1))]. 7786 (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(189,a,2222,a(flip),b,7785,a)]. 7787 (T(x,y) * R(T(x,y) \ (x * y),z,u)) / (x * y) = R(R(y,z,u) / y,y,x). [para(915(a,1),7786(a,2,1))]. 7788 (T(x,y) * R(T(y,x),z,u)) / (x * y) = R(R(y,z,u) / y,y,x). [para(3528(a,1),7787(a,1,1,2,1))]. 7789 (R(x,y,z) * T(u,x)) / (u * x) = R(R(x,y,z) / x,x,u). [para(3535(a,1),7788(a,1,1))]. 7790 R(R(x,y,x) / x,x,z) = (z * R(x,y,x)) / (z * x). [para(6706(a,1),7789(a,1,1)),flip(a)]. 7791 R(x \ R(x,y,x),x,z) = (z * R(x,y,x)) / (z * x). [para(3252(a,1),7790(a,1,1))]. 7792 ((x * (y * z)) * L(u * (L(z \ 1,z,y) / u),y * z,x)) \ (x * y) = K((x * (y * z)) \ (u \ (x * y)),u). [para(5117(a,2),6786(a,1,1,2))]. 7793 K((x \ y) \ T(y,x),z \ L((x \ y) \ T(y,x),u,w)) = K(x,z \ L(T(x,x \ y),u,w)). [hyper(189,a,6469,a(flip),b,7635,a)]. 7795 K((x \ y) \ T(y,x),z \ L((x \ y) \ T(y,x),u,w)) = K(x,z \ L(x,u,w)). [hyper(189,a,7634,a(flip),b,7793,a)]. 7797 K((T(x,y) \ z) \ (T(x,y) \ R(x,u,w)),R(x,u,w)) = K(z \ R(x,u,w),R(T(x,x \ 1),u,w)). [para(4363(a,1),7704(a,2,2,1))]. 7799 K((T(x,y) \ z) \ (T(x,y) \ R(x,u,w)),R(x,u,w)) != v5 | K(z \ R(x,u,w),R(x,u,w)) = v5. [para(7797(a,2),5330(a,1))]. 7800 ((x * (y * z)) * L(L(u * ((z \ 1) / u),z,y),y * z,x)) \ (x * y) = K((x * (y * z)) \ (u \ (x * y)),u). [para(5117(a,2),7792(a,1,1,2,1))]. 7801 (x * ((y * z) * L(u * ((z \ 1) / u),z,y))) \ (x * y) = K((x * (y * z)) \ (u \ (x * y)),u). [para(102(a,1),7800(a,1,1))]. 7802 (x * (y * (z * (u * ((z \ 1) / u))))) \ (x * y) = K((x * (y * z)) \ (u \ (x * y)),u). [para(102(a,1),7801(a,1,1,2))]. 7803 (x * (y * K(z,u \ (z \ 1)))) \ (x * y) = K((x * (y * u)) \ (z \ (x * y)),z). [para(6782(a,1),7802(a,1,1,2,2))]. 7804 K((x * (y * z)) \ (u \ (x * y)),u) = L(K(z \ (u \ 1),u),y,x). [hyper(5929,a,7803,a),flip(a)]. 7805 K((x * (y * z)) \ (u \ (x * y)),u) = K(L(z * u,y,x) \ 1,u). [hyper(189,a,5586,a(flip),b,7804,a)]. 7806 K(L(x * y,z,u) \ 1,y) = K(L(x,z,u) \ (y \ 1),y). [hyper(189,a,6860,a(flip),b,7805,a(flip))]. 7807 K(x,T(y,R(x,z,u) * w)) = T(v5 * K(T(y,w),x),K(T(y,w),v6)) \ T(v5,K(T(y,w),v6)). [para(7533(a,1),6898(a,1,1,1,2)),flip(a)]. 7808 K(x,T(y,R(x,z,u) * w)) = K(x,T(y,w)). [hyper(189,a,6846,a(flip),b,7807,a)]. 7810 K(x,T(y,R(x,z,u) * w)) = K(x,y) * K(x,K(y,w)). [hyper(189,a,6012,a,b,7808,a)]. 7811 K(x,K(y,R(x,z,u) * w)) = K(x,K(y,w)). [hyper(6020,a,7810,a)]. 7812 K(x,K(y,R(x,z,u) \ w)) = K(x,K(y,w)). [para(17(a,1),7811(a,1,2,2)),flip(a)]. 7813 K(x,K(y,(x * z) * u)) = K(x,K(y,z * u)). [para(110(a,1),7811(a,1,2,2))]. 7814 K(x,K(y,z \ R(x,u,w))) = K(x,K(y,z)). [hyper(7261,a,7812,a)]. 7815 K(x,K(y,R(x,z,u) / w)) = K(x,K(y,w)). [para(69(a,1),7814(a,1,2,2)),flip(a)]. 7816 K(x,K(y,z * R(x,u,w))) = K(x,K(y,z)). [hyper(7260,a,7815,a),flip(a)]. 7817 K(x * R(y,z,u),y) * K(y,K(w,x)) = T(K(x * R(y,z,u),T(y,x)),w). [para(7816(a,1),7267(a,1,2))]. 7818 K(x,K(y,(y * z) * u)) = K(y,K(x,z * u)). [hyper(5967,a,7813,a)]. 7819 K(x,K(y,(y * x) * z)) = K(x,K(y,z)). [hyper(189,a,5994,a(flip),b,7818,a)]. 7820 R((K(x,K(y,z)) * u) / (K(x,y) \ u),y * x,z) = ((y * x) * z) \ ((x * y) * z). [para(7819(a,1),6364(a,1,1,1,1))]. 7821 K(x * R(y,z,u),y) * K(x,K(y,w)) = T(K(x * R(y,z,u),T(y,x)),w). [para(5969(a,1),7817(a,1,2))]. 7823 K(x * R(y,z,u),y) * K(x,K(y,w)) = T(K(x * R(y,z,u),y),w). [para(7243(a,1),7821(a,2,1))]. 7824 ((x * y) * z) \ ((y * x) * z) = R(T(K(y,x),z),x * y,z). [para(5962(a,1),7820(a,1,1)),flip(a)]. 7825 R(T(K(x,y),z),y * x,z) = K((((y * x) * z) \ (y * z)) \ 1,y). [hyper(189,a,5812,a,b,7824,a(flip))]. 7826 R(T(K(x,y),z),y * x,z) = K((y * z) \ ((y * x) * z),y). [hyper(189,a,5209,a(flip),b,7825,a)]. 7827 R(T(K(x,y),z),y * x,z) = K(R(T(x,z),y,z),y). [hyper(189,a,7153,a(flip),b,7826,a)]. 7828 ((x * y) * z) \ ((y * x) * z) = K(R(T(y,z),x,z),x). [hyper(189,a,7824,a,b,7827,a(flip)),flip(a)]. 7829 ((x * y) * z) \ ((y * x) * z) = K(R(y,x,z),T(x,z)). [hyper(189,a,5393,a(flip),b,7828,a)]. 7830 L(x \ L(y,z,u),x,K(L(y,z,u),y \ w)) * (K(L(y,z,u),y \ w) * x) = T((x \ L(y,z,u)) * x,w / y). [para(5416(a,1),7680(a,1,2,1))]. 7831 T((x \ L(y,z,u)) * x,w / y) = T((x \ L(y,z,u)) * x,y \ w). [hyper(7679,a,7830,a),flip(a)]. 7832 T((x \ L(y,y \ z,y)) * x,y \ T(z,y)) != u | T((x \ y) * x,z) = u. [para(7831(a,1),5649(a,1))]. 7833 L(T((x \ y) * x,y \ T(z,y)),y \ z,y) = T((x \ y) * x,z). [hyper(7832,a,5118,a(flip)),flip(a)]. 7834 L(T((x \ y) * x,y \ z),y \ z,y) = T((x \ y) * x,z). [para(6420(a,1),7833(a,1,1))]. 7835 x \ (y * (((z \ y) * z) * (y \ x))) = T((z \ y) * z,x). [hyper(556,a,7834,a)]. 7836 x * T((y \ z) * y,x) = z * (((y \ z) * y) * (z \ x)). [para(7835(a,1),17(a,1,2))]. 7837 x * (((y \ x) * y) * (x \ z)) = ((y \ x) * y) * z. [hyper(205,a,7836,a),flip(a)]. 7839 (((x * (y * x)) / x) / y) * (z / (((x * (y * x)) / x) / y)) = z * K(L(x,T(y,x),x),T(x,y * x) \ z). [para(3726(a,1),6679(a,2,2,1))]. 7840 (((x * (y * x)) / x) / y) * (z / (((x * (y * x)) / x) / y)) = z * K(L(x,T(y,x),x),T(x,x * y) \ z). [para(3507(a,1),7839(a,2,2,2,1))]. 7841 (((x * (y * x)) / x) / y) * (z / (((x * (y * x)) / x) / y)) = z * K(x,T(x,x * y) \ z). [para(6465(a,1),7840(a,2,2))]. 7842 (((x * (y * x)) / x) / y) * (z / (((x * (y * x)) / x) / y)) = z * K(x,x \ z). [para(6186(a,1),7841(a,2,2))]. 7844 (((x * (y * x)) / x) / y) * (z / (((x * (y * x)) / x) / y)) = x * (z / x). [hyper(189,a,3903,a(flip),b,7842,a)]. 7846 L(x,T(y,x),x) * (z / (((x * (y * x)) / x) / y)) = x * (z / x). [para(3726(a,1),7844(a,1,1))]. 7847 L(x,T(y,x),x) * (z / L(x,T(y,x),x)) = x * (z / x). [para(3726(a,1),7846(a,1,2,2))]. 7848 L(x,y,x) * (z / L(x,T(y,x),x)) = x * (z / x). [para(3724(a,1),7847(a,1,1))]. 7849 L(x,y,x) * (z / L(x,y,x)) = x * (z / x). [para(3724(a,1),7848(a,1,2,2))]. 7850 L(x,y,x) * ((z * x) / L(x,y,x)) = x * z. [para(18(a,1),7849(a,2,2))]. 7851 K((x \ y) \ T(y,x),z \ L((x \ y) \ T(y,x),u,w)) = K(x,z \ L(L(T(x,x \ y),y,x),u,w)). [hyper(189,a,6469,a(flip),b,7636,a(flip))]. 7853 K((x \ y) \ T(y,x),z \ L((x \ y) \ T(y,x),u,w)) = K(x,z \ L(L(x,y,x),u,w)). [hyper(189,a,7778,a(flip),b,7851,a)]. 7855 K(x,y \ L(L(x,z,x),u,w)) = K(x,y \ L(x,u,w)). [hyper(189,a,7795,a(flip),b,7853,a(flip))]. 7857 K(x,(y \ 1) \ L(x,z,u)) * (y \ (T(y,x) * L(x,z,u))) = L(L(x,y,x),z,u). [para(7855(a,1),7695(a,1,1))]. 7858 K(x,y * L(x,z,u)) * (y \ (T(y,x) * L(x,z,u))) = L(L(x,y,x),z,u). [para(7642(a,1),7857(a,1,1))]. 7860 K(x,y * L(x,z,u)) * (K(y,x) * L(x,z,u)) = L(L(x,y,x),z,u). [para(4540(a,1),7858(a,1,2))]. 7861 K(x,x \ 1) \ ((1 / ((L(x,y,z) \ x) * L(x,y,z))) * (L(x,y,z) \ x)) = L(x,y,z) \ 1. [para(4101(a,1),5853(a,1,1))]. 7863 K(x,x \ 1) \ ((1 / x) * (L(x,y,z) \ x)) = L(x,y,z) \ 1. [para(5097(a,1),7861(a,1,2,1,2))]. 7864 (x \ 1) * (L(x,y,z) \ x) = L(x,y,z) \ 1. [hyper(2429,a,7863,a)]. 7865 (x \ 1) \ (L(x,y,z) \ 1) = L(x,y,z) \ x. [hyper(75,a,7863,a(flip),b,2428,a(flip))]. 7866 (x \ L(x,y,z)) \ (x \ 1) = (x \ 1) * (L(x,y,z) \ x). [hyper(189,a,5005,a,b,7864,a),flip(a)]. 7867 (x \ (L(x \ 1,y,z) \ 1)) * K(x \ 1,x) = L(x \ 1,y,z) \ (x \ 1). [hyper(2542,a,7865,a)]. 7868 (x \ L(x,y,z)) \ 1 = L(x,y,z) \ x. [hyper(1934,a,7866,a)]. 7869 (x \ L(x,y,z)) * (L(x,y,z) \ x) != u | 1 = u. [para(7868(a,1),203(a,1,2)),flip(b)]. 7870 (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(7867(a,1),3249(a,2,1)),flip(a)]. 7871 (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(7341(a,1),7870(a,1,2))]. 7872 (L(x \ 1,y,z) \ (x \ 1)) \ (L(1 / x,y,z) \ 1) = T(x,x \ (L(x \ 1,y,z) \ 1)). [para(5084(a,1),7871(a,1,2))]. 7873 T(x,x \ (L(x \ 1,y,z) \ 1)) = x. [hyper(189,a,5844,a(flip),b,7872,a(flip))]. 7875 T(x,x \ (((y * x) \ y) \ 1)) = x. [para(140(a,1),7873(a,1,2,2,1))]. 7876 (1 / ((x * y) \ x)) / y = y \ (1 / ((x * y) \ x)). [para(7875(a,1),3459(a,1,2))]. 7877 T((1 / ((x * y) \ x)) * K(y,z),y) = (y \ (1 / ((x * y) \ x))) * T(y,z). [para(7876(a,1),6354(a,2,1))]. 7878 (x * (y * R(x,z,u))) \ (((y * R(x,z,u)) * x) * K(x,y)) = x \ R(x,y,R(x,z,u)). [para(6628(a,1),7311(a,1,1))]. 7879 (x * (y * R(x,z,u))) \ ((y * R(x,z,u)) * T(x,y)) = x \ R(x,y,R(x,z,u)). [para(5139(a,1),7878(a,1,2))]. 7881 (x * (y * R(x,z,u))) \ ((x * y) * R(x,z,u)) = x \ R(x,y,R(x,z,u)). [para(1666(a,1),7879(a,1,2))]. 7882 x \ R(x,y,R(x,z,u)) = a(x,y,R(x,z,u)). [hyper(553,a,7881,a),flip(a)]. 7883 x \ R(x,y,R(x,z,u)) != w | a(x,y,R(x,z,u)) = w. [para(7881(a,1),553(a,1))]. 7884 K(x * R(y,z,u),y) * K(y,x) = a(y,x,R(y,z,u)). [hyper(189,a,7291,a,b,7882,a(flip)),flip(a)]. 7885 x * a(x,y,R(x,z,u)) = R(x,y,R(x,z,u)). [para(7882(a,1),17(a,1,2))]. 7886 R(x,y,R(x,z,u)) \ x = a(x,y,R(x,z,u)) \ 1. [para(7882(a,1),5757(a,1,1)),flip(a)]. 7887 x \ R(T(x,y),z,R(x,u,w)) = K(x,y) * a(x,z,R(x,u,w)). [para(7882(a,1),6738(a,1,2)),flip(a)]. 7888 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(7139(a,2),7882(a,1,2))]. 7889 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(4009(a,1),7886(a,2,1))]. 7890 x \ R(x,y,R(T(x,z),u,w)) != v5 | a(T(x,z),y,R(T(x,z),u,w)) = v5. [para(7536(a,1),7883(a,1))]. 7891 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(7884(a,1),6365(a,1,1)),flip(a)]. 7892 T(x,y) \ R(T(x,y),z,R(x,u,w)) = a(x,z,R(x,u,w)). [hyper(4607,a,7887,a)]. 7893 K(x,y) * (K(y,x) * a(y,z,R(y,u,w))) = y \ R(y,z,R(T(y,x),u,w)). [para(7887(a,1),7537(a,1,2))]. 7894 ((x \ y) \ y) \ R((x \ y) \ y,z,R(x,u,w)) = a(x,z,R(x,u,w)). [hyper(4892,a,7892,a)]. 7895 T(x,y) * a(x,z,R(x,u,w)) = R(T(x,y),z,R(x,u,w)). [para(7892(a,1),17(a,1,2))]. 7896 a(x,K(x,y) * z,R(x,u,w)) = x \ (v5 \ ((R(x,z,R(x,u,w)) * (x \ v5)) * x)). [hyper(189,a,7166,a(flip),b,7894,a(flip))]. 7897 x \ R(x,y,R(T(x,z),u,w)) = a(x,y,R(x,u,w)). [hyper(3914,a,7893,a)]. 7898 a(T(x,y),z,R(T(x,y),u,w)) = a(x,z,R(x,u,w)). [hyper(7890,a,7897,a)]. 7900 L(x,y,R(x,z,u)) \ x = a(x,y,R(x,z,u)). [hyper(189,a,7688,a(flip),b,7897,a(flip)),flip(a)]. 7902 a(x,y,R(x,z,u)) \ x = L(x,y,R(x,z,u)). [para(7900(a,1),5098(a,1,1))]. 7903 a(x,y,R(x,z,u)) * T(K(y,x),w) = T(K(y * R(x,z,u),x),w). [hyper(189,a,7823,a(flip),b,7891,a(flip))]. 7904 T(K(x * R(y,z,u),y),w) * T(K(y,x),w) = a(y,x,R(y,z,u)). [hyper(6635,a,7903,a)]. 7905 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(7883,a,7888,a)]. 7906 a(T(x,y),T(y,x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(189,a,5822,a(flip),b,7905,a(flip))]. 7907 a(x,y,R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(4010,a,7906,a)]. 7908 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(7139(a,1),7889(a,1,1))]. 7909 R(T(x,y),y,R(T(x,y),z,u)) \ T(x,y) = a(R(x,z,u),y,x) \ 1. [para(7907(a,1),7908(a,2,1))]. 7910 a(T(x,y),y,R(T(x,y),z,u)) \ 1 = a(R(x,z,u),y,x) \ 1. [hyper(189,a,7886,a(flip),b,7909,a(flip)),flip(a)]. 7911 a(R(x,y,z),u,x) \ 1 = a(x,u,R(x,y,z)) \ 1. [para(7898(a,1),7910(a,1,1)),flip(a)]. 7913 a(T(x,y),z,R(x,u,w)) = x \ (v5 \ ((R(x,z,R(x,u,w)) * (x \ v5)) * x)). [hyper(7749,a,7896,a)]. 7916 a(T(x,y),z,R(x,u,w)) = x \ (v5 \ ((x * (x \ v5)) * R(x,z,R(x,u,w)))). [para(7181(a,1),7913(a,2,2,2))]. 7917 a(T(x,y),z,R(x,u,w)) = x \ (v5 \ (v5 * R(x,z,R(x,u,w)))). [para(17(a,1),7916(a,2,2,2,1))]. 7918 a(T(x,y),z,R(x,u,w)) = x \ R(x,z,R(x,u,w)). [para(16(a,1),7917(a,2,2))]. 7920 a(T(x,y),z,R(x,u,w)) = a(x,z,R(x,u,w)). [hyper(189,a,7882,a(flip),b,7918,a)]. 7921 a(x,T(y,x),R(x,z,u)) = a(x,y,R(x,z,u)). [hyper(4010,a,7920,a),flip(a)]. 7922 a(x,T(x,y) \ z,R(x,u,w)) = a(x,x \ z,R(x,u,w)). [hyper(189,a,7750,a(flip),b,7920,a(flip))]. 7924 ((K((x * y) / (x * (z \ y)),u) \ 1) \ 1) \ (x * (K(z,u) * y)) = (x * (K(z,u) * y)) * ((L(K(u,T(z,y)),y,x) \ 1) \ 1). [para(4957(a,2),5936(a,1,1,1,1))]. 7925 (x * y) \ ((y * K(x,z)) * R(x,y,K(x,z))) = K(x,z) * K(y * K(x,z),R(x,y,K(x,z))). [para(6656(a,1),6149(a,1,1))]. 7926 K(x,y) * K(z * K(x,y),R(x,z,K(x,y))) = (x * z) \ ((z * K(x,y)) * x). [para(6140(a,1),7925(a,1,2,2)),flip(a)]. 7928 K(x,y) * K(z * K(x,y),R(x,z,K(x,y))) = (x * z) \ (z * T(x,y)). [para(5132(a,1),7926(a,2,2))]. 7929 (x * y) \ (y * T(x,z)) = K(x,z) * K(y * K(x,z),x). [para(6140(a,1),7928(a,1,2,2)),flip(a)]. 7930 (x * y) \ (y * T(x,z)) = K(x,z) * K(y,x). [para(6197(a,1),7929(a,2,2))]. 7931 (x * (y * L(x,z,u))) \ ((y * L(x,z,u)) * T(x,y)) = x \ R(x,y,L(x,z,u)). [hyper(189,a,7043,a(flip),b,7930,a)]. 7932 K(T(x,y),y) * K(L(x,z,u) * y,T(x,y)) = a(T(x,y),y,L(T(x,y),z,u)). [hyper(189,a,2083,a(flip),b,7930,a(flip))]. 7933 (x * y) \ (y * T(x,z)) != u | K(y,x) * K(x,z) = u. [para(7930(a,2),1962(a,1))]. 7935 K(x,y) * K(y,y \ x) = a(y,x / y,y). [hyper(7933,a,3566,a)]. 7937 x \ T(y * (x / y),y) = a(y,x / y,y). [hyper(189,a,6355,a,b,7935,a(flip)),flip(a)]. 7938 a(x,(y * x) / x,x) = (y * x) \ T(x * y,x). [para(18(a,1),7937(a,1,2,1,2)),flip(a)]. 7939 a(x,(y * x) / x,x) = K(x,y) * K(x * y,x). [hyper(189,a,7184,a(flip),b,7938,a)]. 7940 K(x,y) * K(x * y,x) = a(x,y,x). [para(18(a,1),7939(a,1,2)),flip(a)]. 7941 x \ R(x,y,x) = a(x,y,x). [hyper(189,a,4686,a(flip),b,7940,a(flip)),flip(a)]. 7942 K(x,y) * a(y,x,y) != z | K(y * x,y) = z. [para(7940(a,1),3914(a,1,2)),flip(b)]. 7943 K(x,x * y) * a(x,y,x) = K(x,y). [para(7940(a,1),3906(a,1,2))]. 7944 T(x * y,x) / x = y * a(x,y,x). [para(7940(a,1),5314(a,1,2)),flip(a)]. 7945 (x / y) * a(y,z,y) = x / L(y,z,y). [para(7940(a,1),6735(a,1,2))]. 7946 K(x * y,x) * (K(x,y) * z) = z * a(x,y,x). [para(7940(a,1),6864(a,2,2))]. 7947 a(x,y * K(x,z),x) = x \ R(x,y,x). [hyper(189,a,6745,a(flip),b,7941,a(flip))]. 7948 x * a(x,y,x) = R(x,y,x). [para(7941(a,1),17(a,1,2))]. 7950 a(x,y,x) * x = R(x,y,x). [para(7941(a,1),3253(a,1,1))]. 7951 (x * R(y,z,y)) / (x * y) = R(a(y,z,y),y,x). [para(7941(a,1),7791(a,1,1)),flip(a)]. 7952 x \ R(x,y,x) != z | a(x,y,x) = z. [para(7948(a,1),237(a,1,2)),flip(b)]. 7953 (x * a(y,z,y)) / R(y,z,y) != u | R(x / y,y,a(y,z,y)) = u. [para(7948(a,1),451(a,1,2))]. 7954 K(x * y,x) * K(x,y) != z | a(x,y,x) = z. [para(7943(a,1),3914(a,1,2)),flip(b)]. 7955 (x * y) \ (y * (T(z * T(x,y),z) / z)) = L(a(z,T(x,y),z),T(x,y),y). [para(7944(a,2),153(a,1,2,2))]. 7956 (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(7944(a,2),347(a,1,2,2))]. 7957 (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) != w | L(L(a(u,z,u),z,y),y * z,x) = w. [para(7944(a,2),646(a,1,2,2,2))]. 7958 R(T(a(x,y,x),y * z),T(y,a(x,y,x)),z) = (T(y,a(x,y,x)) * z) \ ((T(x * y,x) / x) * z). [para(7944(a,2),6190(a,1,2,1)),flip(a)]. 7959 (x * y) / L(y,z,y) = x * a(y,z,y). [para(18(a,1),7945(a,1,1)),flip(a)]. 7960 a(x,y,T(x,z)) = x \ R(x,y,x). [hyper(6889,a,7947,a)]. 7961 a(x,y,T(x,z)) != u | a(x,y,x) = u. [para(7960(a,2),7952(a,1))]. 7962 (x / L(y,z,y)) * y = x * a(y,z,y). [hyper(1265,a,7959,a)]. 7963 L(x,y,x) * (z * a(x,y,x)) = x * z. [para(7959(a,1),7850(a,1,2))]. 7964 x * (L(x,y,x) \ z) = z * a(x,y,x). [hyper(189,a,7569,a(flip),b,7962,a(flip)),flip(a)]. 7965 L(x,y,x) \ 1 = x \ a(x,y,x). [hyper(75,a,14,a(flip),b,7964,a),flip(a)]. 7966 T(x,y) * (L(T(x,y),z,x) \ u) = u * a(x,z,x). [hyper(189,a,7672,a,b,7964,a(flip)),flip(a)]. 7967 T(x,y) * (L(T(x,y),z,x) \ u) = u * a(T(x,y),z,T(x,y)). [para(6528(a,1),7964(a,1,2,1))]. 7968 K(R(L(x,y,x),x \ a(x,y,x),z),u) = K(L(x,y,x),u). [para(7965(a,1),5752(a,1,1,2))]. 7969 K(x,x * y) * (z * a(x,y,x)) = K(x,y) * z. [hyper(3907,a,7946,a)]. 7970 K(x,x * y) * z != K(x,y) * u | u * a(x,y,x) = z. [para(7969(a,1),22(a,1)),flip(a)]. 7971 T(x,y) * (L(T(x,y),z,x) \ u) != u * w | a(x,z,x) = w. [para(7966(a,2),22(a,1))]. 7972 K(x,y) * (z * a(y,u,y)) = y * (L(T(y,x),u,y) \ z). [para(7966(a,1),4383(a,1,2))]. 7973 K(R(x,x \ a(x,y,x),z),u) = K(L(x,y,x),u). [hyper(189,a,7578,a(flip),b,7968,a(flip)),flip(a)]. 7974 K(R(x,x \ a(x,y,x),z),u) = K(x,u). [hyper(189,a,6465,a(flip),b,7973,a)]. 7977 R(K(x,y),a(x,z,x),u) = K(x,y). [hyper(189,a,5749,a(flip),b,7974,a(flip)),flip(a)]. 7978 (K(x,y) * a(x,z,x)) * u = K(x,y) * (a(x,z,x) * u). [para(7977(a,1),110(a,1,1)),flip(a)]. 7979 K(x,x * y) * (a(x,y,x) * z) = K(x,y) * z. [para(7943(a,1),7978(a,1,1)),flip(a)]. 7980 a(x,y,x) * z = z * a(x,y,x). [hyper(7970,a,7979,a),flip(a)]. 7981 (a(x,y,x) \ z) * a(x,y,x) = z. [hyper(203,a,7980,a)]. 7982 T(x,a(y,z,y)) = x. [hyper(149,a,7980,a)]. 7983 T(a(x,y,x),z) = a(x,y,x). [hyper(147,a,7980,a,b,xx)]. 7984 a(x,y,x) * K(y,x) = K(x * y,x). [hyper(7942,a,7980,a(flip)),flip(a)]. 7985 a(x,y,x) * z != z * u | a(x,y,x) = u. [para(7980(a,2),22(a,1))]. 7988 (x * (y * a(z,u,z))) \ (x * (a(z,u,z) * (y * w))) = L(L(w,y,a(z,u,z)),a(z,u,z) * y,x). [para(7980(a,1),348(a,1,1,2))]. 7989 (x * (y * a(z,u,z))) \ ((x * a(z,u,z)) * (L(y,a(z,u,z),x) * w)) = L(w,L(y,a(z,u,z),x),x * a(z,u,z)). [para(7980(a,1),347(a,1,1,2))]. 7990 K(x,a(y,z,y)) = 1. [hyper(39,a,7982,a)]. 7992 x * K(y,a(z,u,z)) != w | x = w. [para(7990(a,2),86(a,1,2))]. 7993 x * a(y,z,y) != u | a(y,z,y) * x = u. [para(7983(a,1),205(a,1,2))]. 7994 R(a(x,y,x),z,u) * w = w * R(a(x,y,x),z,u). [para(7983(a,1),160(a,1,2,1)),flip(a)]. 7995 (a(x,y,x) \ 1) \ z = z * a(x,y,x). [hyper(75,a,7981,a(flip),b,486,a)]. 7996 x * (a(x,y,x) \ z) = L(x,y,x) * z. [para(7981(a,1),7963(a,1,2)),flip(a)]. 7998 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(5412(a,1),7984(a,1,2))]. 7999 a(x,y,x) \ 1 = x \ L(x,y,x). [hyper(75,a,15,a(flip),b,7996,a),flip(a)]. 8000 (x \ L(x,y,x)) \ z = z * a(x,y,x). [para(7999(a,1),7995(a,1,1))]. 8001 (a(x,y,x) \ 1) \ z != u | a(x,y,x) * z = u. [para(7995(a,2),7993(a,1))]. 8002 T(x,R(a(y,z,y),u,w)) = x. [hyper(149,a,7994,a)]. 8003 a(T(x,y),z,T(x,y)) = a(x,z,x). [hyper(7971,a,7967,a),flip(a)]. 8005 (x * y) \ (y * T(T(z * x,z) / z,y)) = L(a(z,T(x,y),z),T(x,y),y). [para(1218(a,1),7955(a,1,2,2))]. 8006 L(a(x,T(y,z),x),T(y,z),z) = (y * z) \ ((T(x * y,x) / x) * z). [para(113(a,1),8005(a,1,2)),flip(a)]. 8007 K(x,y) * K(L(x,z,u) * y,T(x,y)) = a(T(x,y),y,L(T(x,y),z,u)). [para(3876(a,1),7932(a,1,1))]. 8008 a(T(x,y),y,L(T(x,y),z,u)) = K(x,y) * K(L(x,z,u) * y,x). [para(7034(a,1),8007(a,1,2)),flip(a)]. 8009 a(T(x,y),y,L(T(x,y),z,u)) = L(x,y,L(x,z,u)) \ x. [hyper(189,a,7041,a(flip),b,8008,a)]. 8010 (x * (y * L(x,z,u))) \ ((x * y) * L(x,z,u)) = x \ R(x,y,L(x,z,u)). [para(1270(a,1),7931(a,1,2))]. 8011 x \ R(x,y,L(x,z,u)) = a(x,y,L(x,z,u)). [hyper(553,a,8010,a),flip(a)]. 8012 K(x,y) * K(y * L(x,z,u),x) = a(x,y,L(x,z,u)). [hyper(7044,a,8011,a)]. 8013 K(x,y) * R(x,z,L(x,u,w)) = T(x,y) * a(x,z,L(x,u,w)). [para(8011(a,1),4377(a,1,2)),flip(a)]. 8014 T(x,y) \ R(T(x,y),z,L(x,u,w)) = a(T(x,y),z,L(T(x,y),u,w)). [para(7662(a,1),8011(a,1,2))]. 8015 K(x,y) * K(y,x * L(y,z,u)) = a(y,x,L(y,z,u)) \ 1. [para(8012(a,1),7060(a,1,1)),flip(a)]. 8016 (x / (y * K(z,y))) * R(y * K(z,y),z,L(y,u,w)) = x * a(y,z,L(y,u,w)). [para(8012(a,1),6641(a,2,2))]. 8017 T(x,y) * a(x,z,L(x,u,w)) = R(T(x,y),z,L(x,u,w)). [hyper(6731,a,8013,a),flip(a)]. 8018 T(x,y) \ R(T(x,y),z,L(x,u,w)) != v5 | a(x,z,L(x,u,w)) = v5. [para(8017(a,1),237(a,1,2)),flip(b)]. 8019 a(T(x,y),z,L(T(x,y),u,w)) != v5 | a(x,z,L(x,u,w)) = v5. [para(8014(a,1),8018(a,1))]. 8020 L(x,y,L(x,z,u)) \ x = a(x,y,L(x,z,u)). [hyper(8019,a,8009,a),flip(a)]. 8021 a(x,y,L(x,z,u)) \ x = L(x,y,L(x,z,u)). [para(8020(a,1),5098(a,1,1))]. 8022 ((x / y) * K(y,z)) * R(y * K(z,y),z,L(y,u,w)) = x * a(y,z,L(y,u,w)). [para(5207(a,1),8016(a,1,1))]. 8023 ((x / y) * K(y,z)) * (y * K(z * L(y,u,w),y)) = x * a(y,z,L(y,u,w)). [para(5045(a,1),8022(a,1,2))]. 8024 (x / y) * (T(y,z) * K(z * L(y,u,w),y)) = x * a(y,z,L(y,u,w)). [hyper(189,a,6740,a(flip),b,8023,a(flip)),flip(a)]. 8025 (x / y) * R(y,z,L(y,u,w)) = x * a(y,z,L(y,u,w)). [para(7039(a,1),8024(a,1,2))]. 8026 K(T(x,y * z) * z,T(x,y * z)) = a(x,z,x) * K(z,T(x,y)). [para(8003(a,1),7998(a,1,1)),flip(a)]. 8027 a(x,y,x) * K(y,T(x,z)) = K(x * y,T(x,z)). [hyper(189,a,7584,a(flip),b,8026,a(flip))]. 8029 K(x * y,T(x,z)) * K(x,T(y,z)) = a(x,y,x). [hyper(5404,a,8027,a)]. 8031 R(T(a(x,y,x),y * z),T(y,a(x,y,x)),z) = (y * z) \ ((T(x * y,x) / x) * z). [para(7982(a,1),7958(a,2,1,1))]. 8032 R(a(x,y,x),T(y,a(x,y,x)),z) = (y * z) \ ((T(x * y,x) / x) * z). [para(7983(a,1),8031(a,1,1))]. 8033 (x * y) \ ((T(z * x,z) / z) * y) = R(a(z,x,z),x,y). [para(7982(a,1),8032(a,1,2)),flip(a)]. 8035 L(a(x,T(y,z),x),T(y,z),z) = R(a(x,y,x),y,z). [hyper(189,a,8006,a,b,8033,a(flip)),flip(a)]. 8036 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(4374(a,1),8035(a,1,1,2)),flip(a)]. 8037 R(a(x,y * K(z,y),x),y * K(z,y),z) = L(a(x,y,x),y,z). [para(4374(a,1),8036(a,2,2))]. 8038 (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(1357(a,2),7956(a,1,2,2))]. 8039 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(102(a,1),8038(a,1,2)),flip(a)]. 8040 K(R(x,y,z),x * L(u,x,u)) * ((x * (L(u,x,u) * R(x,y,z))) / (x * L(u,x,u))) = L(R(x,y,z),u,x). [para(7572(a,1),6869(a,1,1))]. 8042 K(R(x,y,z),x * u) * ((x * (L(u,x,u) * R(x,y,z))) / (x * L(u,x,u))) = L(R(x,y,z),u,x). [para(7771(a,1),8040(a,1,1))]. 8043 K(R(x,y,z),x * u) * R((x * (L(u,x,u) * x)) / (x * L(u,x,u)),y,z) = L(R(x,y,z),u,x). [para(1690(a,2),8042(a,1,2))]. 8044 K(R(x,y,z),x * u) * R(x * K(L(u,x,u),x),y,z) = L(R(x,y,z),u,x). [para(4473(a,1),8043(a,1,2,1))]. 8045 K(R(x,y,z),x * u) * R(x * K(u,x),y,z) = L(R(x,y,z),u,x). [para(5409(a,1),8044(a,1,2,1,2))]. 8046 K(R(K(x \ y,x),y,z),K(x \ y,x) * u) * R(K(x \ y,x) * K(u,K(x \ y,x)),y,z) = L((y * z) / ((x * (y / x)) * z),u,K(x \ y,x)). [para(5675(a,2),8045(a,2,1))]. 8048 (K(x,(y * z) / (y * (u \ z))) \ 1) \ (y * (K(u,x) * z)) = (y * (K(u,x) * z)) * ((L(K(x,T(u,z)),z,y) \ 1) \ 1). [para(3871(a,1),7924(a,1,1,1))]. 8049 K(x,(y * z) / (y * (u \ z))) * (y * (K(u,x) * z)) = (y * (K(u,x) * z)) * ((L(K(x,T(u,z)),z,y) \ 1) \ 1). [hyper(3860,a,8048,a)]. 8050 K(x,(y * z) / (y * (u \ z))) * (y * (K(u,x) * z)) = (y * (K(u,x) * z)) * L(K(x,T(u,z)),z,y). [para(2194(a,1),8049(a,2,2))]. 8051 K(x,(y * z) / (y * (u \ z))) * (y * (K(u,x) * z)) = y * z. [hyper(189,a,5931,a(flip),b,8050,a)]. 8052 K(x,(y * z) / (y * (u \ z))) = (y * z) / (y * (K(u,x) * z)). [hyper(76,a,5931,a(flip),b,8050,a),flip(a)]. 8054 K(x,y) * (R(y,z,u) * (K(y,x) * w)) = R(y,z,u) * w. [para(923(a,1),8051(a,1,1,2))]. 8055 (x * (K(y,z) * u)) / (x * u) != w | K((x * u) / (x * (y \ u)),z) = w. [para(8051(a,1),3910(a,1,2))]. 8056 R(K(x,y),z * (K(u,x) * w),v5) = R(K(x,y),z * w,v5). [para(8051(a,1),5767(a,1,2)),flip(a)]. 8057 K(x,y \ (z * (K(u,x) * w))) = K(x,y \ (z * w)). [para(8051(a,1),7615(a,1,2,2)),flip(a)]. 8058 K(x,y \ (z * ((x \ u) * x))) = K(x,y \ (z * u)). [para(4291(a,1),8057(a,1,2,2,2))]. 8059 K(x / y,z \ (u * (y * (x / y)))) = K(x / y,z \ (u * x)). [para(4324(a,1),8057(a,1,2,2,2))]. 8060 K(x,y \ ((x \ 1) * z)) = K(x,y \ (x \ z)). [hyper(189,a,7620,a(flip),b,8058,a(flip))]. 8061 K(x \ 1,y \ ((x \ 1) \ z)) = K(x \ 1,y \ (x * z)). [hyper(189,a,7451,a(flip),b,8060,a(flip))]. 8062 K(1 / x,y \ ((1 / x) \ z)) = K(1 / x,y \ (x * z)). [para(69(a,1),8060(a,1,2,2,1)),flip(a)]. 8063 K(T(x,y),z \ (T(x,y) \ y)) != u | K(x,((x \ 1) * y) / z) = u. [para(8060(a,1),7745(a,1))]. 8064 R(x,y,z) * (K(x,u) * w) = K(x,u) * (R(x,y,z) * w). [hyper(3907,a,8054,a),flip(a)]. 8065 R(x,y,z) * (K(u,x) * w) = K(u,x) * (R(x,y,z) * w). [para(3887(a,1),8054(a,1,2,2)),flip(a)]. 8066 R(K(x,y),z * (u * K(w,x)),v5) = R(K(x,y),z * u,v5). [para(6051(a,1),8056(a,1,2,2))]. 8067 K(L(x,y,z) \ 1,(u \ w) \ ((x \ 1) \ 1)) = L(K(x \ 1,w \ (x * u)),y,z). [para(8061(a,1),6858(a,2,1))]. 8068 K(1 / x,y \ (x * z)) = K(x \ 1,(z \ y) \ x). [hyper(6861,a,8062,a),flip(a)]. 8069 K(x \ 1,(y \ z) \ x) != u | K(x \ 1,z \ (x * y)) = u. [para(8068(a,1),4254(a,1))]. 8070 K(x,y) * (R(x,z,x) * u) = R(T(x,y),z,x) * u. [hyper(189,a,6538,a(flip),b,8064,a(flip))]. 8071 R(x,y,x) * (K(z,x) * (x \ u)) = K(z,x) * ((u / x) * R(x,y,x)). [para(6710(a,1),8065(a,2,2))]. 8072 R(K(x,y),z * y,u) = K(x,R(y * K(w,x),z,u)). [hyper(6753,a,8066,a),flip(a)]. 8073 K(x,R(y * K(z,x),u,w)) = K(x,R(y,u,w)). [hyper(6750,a,8072,a),flip(a)]. 8074 R(K(x,y),(y * K(z,x)) * u,w) = K(x,R(y,u,w)). [hyper(189,a,6184,a,b,8073,a(flip)),flip(a)]. 8076 K(x,R(R(y,K(z,x),u),K(z,x) * u,w)) = K(x,R(y,u,w)). [hyper(189,a,6603,a(flip),b,8074,a(flip)),flip(a)]. 8078 K(x,R(y,K(z,x) * u,w)) = K(x,R(y,u,w)). [hyper(189,a,6602,a(flip),b,8076,a(flip)),flip(a)]. 8080 K(R(x,K(y,z) * u,w),z) = (v5 * K(z,R(x,u,w))) \ v5. [para(8078(a,1),3918(a,1,1,2)),flip(a)]. 8081 K(R(x,K(y,z) * u,w),z) = K(R(x,u,w),z). [hyper(189,a,3918,a(flip),b,8080,a)]. 8082 K(R(x,T(y,z),u),y) = K(R(x,y,u),y). [para(4370(a,1),8081(a,1,1,2)),flip(a)]. 8083 K(R(x,T(y,z),u),T(y,w)) = T(y,w) \ T(y * K(R(x,y,u),y),w). [para(8082(a,1),4658(a,1,2,1,2)),flip(a)]. 8084 K(T(x,y),z \ (x \ y)) = K(x,((x \ 1) * y) / z). [hyper(8063,a,7114,a),flip(a)]. 8085 K(x,((x \ 1) * y) / z) = K(x,y / (z * x)). [hyper(189,a,6449,a(flip),b,8084,a(flip))]. 8086 K(x,(y * z) / (((x \ 1) * z) * x)) = K(x,L(y,z,x \ 1)). [hyper(7155,a,8085,a),flip(a)]. 8087 K(x,(y * z) / L(z,x \ 1,x)) = K(x,L(y,z,x \ 1)). [hyper(189,a,6760,a(flip),b,8086,a(flip)),flip(a)]. 8088 K(x,(y * z) / L(z,x \ 1,x)) = K(x,y). [hyper(189,a,7002,a(flip),b,8087,a)]. 8090 K(x,y / L(z,x \ 1,x)) = K(x,y / z). [para(19(a,1),8088(a,1,2,1))]. 8091 K(x,y / (((x \ 1) * z) * x)) = K(x,y / z). [hyper(189,a,6760,a,b,8090,a(flip)),flip(a)]. 8092 K(x,y / ((x \ 1) \ z)) = K(x,y / (z * x)). [para(17(a,1),8091(a,1,2,2,1)),flip(a)]. 8093 R(K(x,(y / z) / (u * x)),y / z,z) = K(x,y / (((x \ 1) \ u) * z)). [para(8092(a,1),5678(a,1,1))]. 8094 K(x,y) * ((z / y) * R(y,u,y)) = R(y,u,y) * (T(y,x) \ z). [para(4558(a,1),8071(a,1,2)),flip(a)]. 8095 K(R(x,T(y,z),u),T(y,w)) != v5 | K(R(x,y,u),T(y,w)) = v5. [para(8083(a,2),4791(a,1))]. 8096 L(K(x,T(T(y,z),u * z)),z,u) != w | K((u * z) / (u * (x \ z)),y) = w. [para(6741(a,2),8055(a,1))]. 8097 K(x,y / (((x \ 1) \ z) * u)) = K(x,y / ((z * x) * u)). [hyper(189,a,5678,a(flip),b,8093,a(flip))]. 8098 K(x,y / ((z / (x \ 1)) * u)) = K(x,y / ((z * x) * u)). [hyper(189,a,6942,a,b,8097,a(flip)),flip(a)]. 8099 K(x \ 1,y / ((z * (x \ 1)) * u)) = K(x \ 1,y / ((x \ z) * u)). [hyper(189,a,7454,a(flip),b,8097,a(flip))]. 8100 K((x \ 1) \ 1,y / ((z / (x \ 1)) * u)) = K(x,y / ((z * x) * u)). [hyper(4282,a,8098,a)]. 8101 K(x \ 1,y / ((z * (x \ 1)) * u)) = K(x \ 1,y / ((z / x) * u)). [hyper(189,a,7461,a(flip),b,8098,a(flip))]. 8102 K(x \ 1,y / ((z / x) * u)) = K(x \ 1,y / ((x \ z) * u)). [hyper(189,a,8099,a(flip),b,8101,a(flip))]. 8103 (x * y) / (x * (K(z,u) * y)) != w | K((x * y) / (x * (u \ y)),z) = w. [para(7054(a,1),8096(a,1))]. 8104 K((x * y) / (x * (z \ y)),u) = K(z,(x * y) / (x * (u \ y))). [hyper(8103,a,8052,a(flip))]. 8105 K(x,(y * z) / (y * (u \ z))) = (y * (K(x,u) * z)) / (y * z). [hyper(189,a,4957,a(flip),b,8104,a(flip))]. 8106 R(K(x,x \ y),z,T(y,K(x,x \ y) * z)) = K(x,(y * z) / (y * ((x \ y) \ z))). [hyper(189,a,7692,a,b,8105,a),flip(a)]. 8107 K(x,(y * z) / (y * ((x \ y) \ z))) = L(K(x,x \ y),z,y). [hyper(189,a,7664,a(flip),b,8105,a)]. 8108 K(L(x,y,z) \ 1,(u \ w) \ ((x \ 1) \ 1)) = K(L(x,y,z) \ 1,w \ (x * u)). [hyper(189,a,4824,a(flip),b,8067,a)]. 8109 K(L(x,y,z) \ 1,(u \ w) \ x) = K(L(x,y,z) \ 1,w \ (x * u)). [hyper(189,a,7439,a(flip),b,8108,a(flip)),flip(a)]. 8110 K(x,(y * z) / (y * ((x \ y) \ z))) = R(K(x,x \ y),z,T(y,z)). [para(7474(a,1),8106(a,1,3)),flip(a)]. 8111 R(K(x,x \ y),z,T(y,z)) = L(K(x,x \ y),z,y). [hyper(189,a,8107,a(flip),b,8110,a(flip))]. 8113 R(T(K(x,x \ y),z),u,T(y,u)) = T(L(K(x,x \ y),u,y),z). [para(8111(a,1),45(a,2,1))]. 8114 R(K(x,y),z,T(y * x,z)) = L(K(x,x \ (y * x)),z,y * x). [para(3891(a,1),8111(a,1,1))]. 8115 L(K(x,x \ y),z,y) \ K(R(K(x,x \ y),z,T(y,z)),u) = R(K(x,x \ y) * K(u,K(x,x \ y)),z,T(y,z)) \ 1. [para(8111(a,1),4745(a,1,1))]. 8116 R(T(K(x,x \ y),z),u,T(y,u)) = L(T(K(x,x \ y),z),u,y). [hyper(189,a,43,a,b,8113,a)]. 8117 R(K(x,y),z,T(y * x,z)) = L(K(x,y),z,y * x). [para(3891(a,1),8114(a,2,1))]. 8118 ((K(x,y) * z) * T(y * x,z)) / (z * T(y * x,z)) = L(K(x,y),z,y * x). [hyper(189,a,33,a(flip),b,8117,a(flip)),flip(a)]. 8119 R(T(K(x,x \ y),z),u,T(y,u)) = L(K(x,T(x \ y,z)),u,y). [para(5334(a,2),8116(a,2,1))]. 8120 R(K(x,T(x \ y,z)),u,T(y,u)) = L(K(x,T(x \ y,z)),u,y). [para(5334(a,2),8119(a,1,1))]. 8121 L(K(x,y),z,y * x) != u | R(K(x,y),z,T(y * x,z)) = u. [para(8118(a,1),385(a,1))]. 8122 ((x * y) * (K(y,x) * z)) / (z * T(x * y,z)) = L(K(y,x),z,x * y). [para(7472(a,1),8118(a,1,1))]. 8123 ((x * y) * (K(y,x) * z)) / ((x * y) * z) = L(K(y,x),z,x * y). [para(113(a,1),8122(a,1,2))]. 8124 K(x,((y * x) * z) / ((y * x) * (y \ z))) = L(K(x,y),z,y * x). [hyper(189,a,8105,a,b,8123,a(flip)),flip(a)]. 8125 R(K(x,x \ y) * K(z,K(x,x \ y)),u,T(y,u)) \ 1 = L(K(x,x \ y),u,y) \ K(L(K(x,x \ y),u,y),z). [para(8111(a,1),8115(a,1,2,1)),flip(a)]. 8126 R(K(x,x \ y) * K(z,K(x,x \ y)),u,T(y,u)) \ 1 = L(K(x,x \ y),u,y) \ K(x,K(y,L(z,u,y))). [para(7288(a,1),8125(a,2,2))]. 8127 R(K(x,x \ y) * K(z,K(x,x \ y)),u,T(y,u)) \ 1 = L(K(x,x \ y),u,y) \ K(x,K(y,z)). [para(6765(a,1),8126(a,2,2,2))]. 8128 R(K(x,x \ y) * K(z,K(x,x \ y)),u,T(y,u)) \ 1 = L(K(x \ y,x),u,y) * K(x,K(y,z)). [hyper(189,a,5895,a(flip),b,8127,a)]. 8130 R(K(x,T(x \ y,z)),u,T(y,u)) \ 1 = L(K(x \ y,x),u,y) * K(x,K(y,z)). [para(6021(a,1),8128(a,1,1,1))]. 8131 L(K(x \ y,x),z,y) * K(x,K(y,u)) = L(K(x,T(x \ y,u)),z,y) \ 1. [para(8120(a,1),8130(a,1,1)),flip(a)]. 8132 L(K(x \ y,x),z,y) * K(x,K(y,u)) = L(K(T(x \ y,u),x),z,y) * 1. [hyper(189,a,5895,a(flip),b,8131,a)]. 8133 L(K(x \ y,x),z,y) * K(x,K(y,u)) = L(K(x \ y,T(x,u)),z,y) * 1. [para(5380(a,1),8132(a,2,1,1))]. 8134 L(K(x \ y,x),z,y) * K(x,K(y,u)) = L(K(x \ y,T(x,u)),z,y). [hyper(189,a,15,a(flip),b,8133,a)]. 8135 K(x,K(y,z)) * L(K(x \ y,T(x,z)),u,y) = L(K(x,x \ y),u,y) \ 1. [para(8134(a,1),7122(a,1,2))]. 8136 K(x,K(y,z)) * L(K(x \ y,T(x,z)),u,y) != w | L(K(x \ y,x),u,y) = w. [para(8135(a,2),5906(a,1))]. 8137 T(x,y) * K((x \ ((y \ 1) \ x)) * T(x,y),x \ ((y \ 1) \ x)) = (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,T(1 \ y,x)). [para(6840(a,1),5250(a,2,2))]. 8138 T(x,y) * K((x \ ((y \ 1) \ x)) * T(x,y),x \ ((y \ 1) \ x)) = (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,T(y,x)). [para(58(a,1),8137(a,2,2,2,1))]. 8139 T(x,y) * K((x \ ((y \ 1) \ x)) * T(x,y),x \ ((y \ 1) \ x)) = (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y). [para(3615(a,1),8138(a,2,2))]. 8140 T(x,y) * K((y \ 1) \ x,x \ ((y \ 1) \ x)) = (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y). [para(3755(a,1),8139(a,1,2,1))]. 8141 L(K(x \ ((y \ 1) \ x),(x \ ((y \ 1) \ x)) * T(x,y)),T(x,y),z) = (z * ((x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y))) \ (z * T(x,y)). [para(8139(a,1),5909(a,1,1,2)),flip(a)]. 8142 (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y) = T(x,y) * K((y \ 1) \ x,T(1 \ y,x)). [para(6878(a,1),8140(a,1,2)),flip(a)]. 8143 (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y) = T(x,y) * K((y \ 1) \ x,T(y,x)). [para(58(a,1),8142(a,2,2,2,1))]. 8144 (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y) = T(x,y) * K(x / (y \ 1),y). [para(6029(a,1),8143(a,2,2))]. 8145 (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y) = T(x,y) * K(x * y,y). [para(4618(a,1),8144(a,2,2))]. 8146 (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y) = y \ T(x * y,y). [hyper(189,a,7373,a(flip),b,8145,a)]. 8147 (x \ 1) * ((K(y,z) * u) * T((K(z,y) \ u) \ ((x \ 1) \ u),z)) = ((x \ 1) * (K(x,z) * ((x \ 1) \ K(z,y)))) * (K(z,y) \ u). [para(3889(a,1),7170(a,1,2,1))]. 8148 (x \ 1) * ((K(y,z) * u) * T((K(y,z) * u) \ ((x \ 1) \ u),z)) = ((x \ 1) * (K(x,z) * ((x \ 1) \ K(z,y)))) * (K(z,y) \ u). [para(3889(a,1),8147(a,1,2,2,1,1))]. 8149 (x \ 1) * (K(y,z) * (u * T(u \ (K(y,z) \ ((x \ 1) \ u)),z))) = ((x \ 1) * (K(x,z) * ((x \ 1) \ K(z,y)))) * (K(z,y) \ u). [para(713(a,1),8148(a,1,2))]. 8150 (x \ 1) * (y * T(y \ ((x \ 1) \ y),z)) = ((x \ 1) * (K(x,z) * ((x \ 1) \ K(z,u)))) * (K(z,u) \ y). [para(6837(a,1),8149(a,1,2))]. 8151 ((x \ 1) * (K(x,y) * ((x \ 1) \ K(y,z)))) * (K(y,z) \ u) = K((x \ 1) \ 1,y) * u. [hyper(4947,a,8150,a),flip(a)]. 8153 ((x \ 1) * (K(x,y) * ((x \ 1) \ K(y,z)))) * (K(y,z) \ u) = K(x,y) * u. [para(2648(a,1),8151(a,2,1))]. 8154 (K(x,y) * K(y,z)) * (K(y,z) \ u) = K(x,y) * u. [para(4970(a,1),8153(a,1,1))]. 8155 (K(x,y) * K(y,z)) * u = K(x,y) * (K(y,z) * u). [para(16(a,1),8154(a,1,2))]. 8157 (K(x,y) * (K(y,z) * u)) / (K(x,y) * K(y,z)) = u * K(K(x,y) * K(y,z),u). [hyper(76,a,8155,a(flip),b,4405,a)]. 8158 (K(x,y) * K(z,x)) * u = K(z,x) * (K(x,y) * u). [para(1959(a,2),8155(a,1,1))]. 8159 (K(x,y) * K(z,x)) * u = K(x,y) * (K(z,x) * u). [hyper(189,a,5830,a,b,8158,a)]. 8160 (K(x,y) * K(z,x)) * (K(y,x) * u) = K(z,x) * u. [para(3887(a,1),8158(a,2,2))]. 8161 L(x,K(y,z),K(z,u)) = x. [hyper(346,a,8159,a)]. 8162 x \ (K(y,z) * (K(u,y) * x)) = T(K(y,z) * K(u,y),x). [hyper(147,a,8159,a,b,17,a),flip(a)]. 8164 T(T(x,K(y,z)),K(y,u)) = T(x,K(y,u) * K(z,y)). [hyper(189,a,7783,a(flip),b,8161,a(flip))]. 8167 L(x,K(y,T(z,u)),K(z,w)) = x. [para(5337(a,1),8161(a,1,2))]. 8168 (K(x,y) * K(z,T(x,u))) * w = K(x,y) * (K(z,T(x,u)) * w). [para(8167(a,1),102(a,1,2))]. 8169 (K(x,y) * K(z,x)) \ u = K(y,x) * (K(x,z) * u). [hyper(75,a,3887,a(flip),b,8160,a)]. 8170 T(T(x,K(y,z)),K(y,u)) = T(x,K(y,z) * K(u,y)). [hyper(333,a,8164,a)]. 8172 (K(x,y) * K(y,z)) \ u = K(z,y) * (K(y,x) * u). [para(1959(a,1),8169(a,1,1))]. 8173 x * K(x,K(y,z) * K(u,y)) = T(T(x,K(y,z)),K(y,u)). [hyper(189,a,4396,a(flip),b,8170,a),flip(a)]. 8174 T(x,K(y,z) * K(u,y)) = T(x,K(y,u) * K(z,y)). [hyper(189,a,8164,a(flip),b,8170,a(flip))]. 8175 (K(x,y) * K(y,z)) \ u = (K(y,x) * K(z,y)) * u. [hyper(189,a,8158,a,b,8172,a)]. 8176 T(x * K(K(y,z) * K(u,y),x),K(y,u) * K(z,y)) = x. [hyper(4482,a,8174,a)]. 8177 x * K(x,K(y,z) * K(u,y)) = T(x,K(y,u) * K(z,y)). [hyper(4414,a,8174,a)]. 8178 (x * (K(y,z) * K(u,y))) / T(((K(y,z) * K(u,y)) \ x) * (K(y,z) * K(u,y)),K(y,u) * K(z,y)) = T(K(y,z) * K(u,y),(K(y,z) * K(u,y)) \ x). [para(8174(a,1),4022(a,1,2))]. 8180 T(K(x,y),z) * T(K(y,u),z) = T(K(y,u) * K(x,y),z). [hyper(189,a,7120,a(flip),b,8162,a(flip)),flip(a)]. 8181 T(K(x,y) * K(z,x),K(x,z) * u) = (K(x,z) * u) \ (K(x,y) * u). [para(3887(a,1),8162(a,1,2,2)),flip(a)]. 8182 T(K(x,K(y,z)) * x,K(y,u)) = x * K(x,K(y,z) * K(u,y)). [para(4403(a,1),8173(a,2,1)),flip(a)]. 8184 T(K(x,y) * K(y * R(x,z,u),x),w) = a(x,y,R(x,z,u)). [hyper(189,a,7904,a(flip),b,8180,a(flip))]. 8187 K(x,K(y,z)) * T(x,K(y,u)) = x * K(x,K(y,z) * K(u,y)). [hyper(189,a,6849,a(flip),b,8182,a(flip)),flip(a)]. 8188 K(x,K(y,z)) * K(x,K(y,u)) = K(x,K(y,z) * K(u,y)). [hyper(4800,a,8187,a)]. 8189 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(189,a,6873,a,b,8188,a(flip)),flip(a)]. 8190 (K(x,y) * K(z,x)) \ (K((K(x,y) * K(z,x)) \ u,K(x,y)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = (((K(x,y) * K(z,x)) \ u) \ u) \ 1. [para(8188(a,2),4465(a,2,2)),flip(a)]. 8191 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(6259(a,1),8188(a,1,1))]. 8192 (K(x,y) * (K(y,z) * u)) * (K(y,x) * K(z,y)) = u * K(K(x,y) * K(y,z),u). [hyper(6650,a,8157,a)]. 8193 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(5966(a,1),8189(a,1,2,2,2))]. 8194 K(x * K(y,z),K(y,u) * K(w,y)) = K(x,K(y,u)) * K(x,K(y,w)). [para(6259(a,1),8191(a,1,2)),flip(a)]. 8195 K(x * K(y,z),K(y,u) * K(w,y)) = K(x,K(y,u) * K(w,y)). [hyper(189,a,8188,a(flip),b,8194,a)]. 8198 K(K(x,y) * z,K(y,u) * K(w,y)) = K(z,K(y,u) * K(w,y)). [para(5348(a,1),8195(a,1,1)),flip(a)]. 8199 T((K(x,y) * z) * K(y,x),K(x,u)) = z * K(K(u,x) * K(x,y),z). [hyper(7764,a,8192,a)]. 8200 x * K(K(y,z) * K(z,u),x) = T(T(x,K(z,u)),K(z,y)). [para(6115(a,1),8199(a,1,1)),flip(a)]. 8201 x * K(K(y,z) * K(z,u),x) = T(x,K(z,u) * K(y,z)). [hyper(189,a,8170,a(flip),b,8200,a)]. 8202 K(K(x,y) * K(y,z),u) = K(u,K(y,x) * K(z,y)). [hyper(20,a,8177,a,b,8201,a)]. 8203 x * K(K(y,z) * K(u,y),x) = T(x,K(y,z) * K(u,y)). [para(1959(a,2),8201(a,1,2,1))]. 8204 K(K(x,y) * K(z,x),u) = K(u,K(x,y) * K(z,x)). [hyper(20,a,4396,a(flip),b,8203,a)]. 8205 T(T(x,K(y,z) * K(u,y)),K(y,u) * K(z,y)) = x. [para(8203(a,1),8176(a,1,1))]. 8206 K(K(x,y) * K(z,x),u) = K(u,K(z,x) * K(x,y)). [para(1959(a,1),8204(a,2,2))]. 8207 (K(x,y) * K(z,x)) * K(u,K(x,y) * K(z,x)) = T(K(x,y) * K(z,x),u). [para(8204(a,1),4396(a,2,2)),flip(a)]. 8208 K(K(x,y) * K(y,z),u) = K(u,K(x,y) * K(y,z)). [para(1959(a,1),8206(a,1,1))]. 8209 K(x,K(y,z) * K(u,y)) = K(x,K(z,y) * K(y,u)). [hyper(189,a,8202,a(flip),b,8208,a(flip)),flip(a)]. 8210 K(K(x,y) * z,K(u,y) * K(y,w)) = K(z,K(y,u) * K(w,y)). [hyper(189,a,8198,a(flip),b,8209,a(flip))]. 8211 T(x * K(y,z),K(z,u)) / (K(u,z) * x) = (K(y,z) * K(z,u)) * K(x,K(z,y) * K(u,z)). [para(8210(a,1),7773(a,2,2))]. 8212 (x * (K(y,z) * K(u,y))) / x = T(K(y,z) * K(u,y),x). [hyper(4384,a,8207,a)]. 8213 T(x * K(y,z),K(z,u)) / (K(u,z) * x) = T(K(z,u) * K(y,z),K(u,z) * x). [para(7761(a,1),8212(a,1,1))]. 8214 K(x,K(y,z)) * K(x,K(z,u)) = K(z,K(x,y) * K(u,x)). [hyper(3844,a,8193,a)]. 8215 T(x * K(y,z),K(z,u)) / (K(u,z) * x) = K(y,z) * (K(z,u) * K(x,K(z,y) * K(u,z))). [hyper(189,a,8155,a(flip),b,8211,a)]. 8217 (1 / (1 / (x * L(x \ 1,y,z)))) \ (x / x) = (x / (x * L(x \ 1,y,z))) / x. [para(19(a,1),2601(a,1,2,1))]. 8218 (1 / (1 / (x * L(x \ 1,y,z)))) \ 1 = (x / (x * L(x \ 1,y,z))) / x. [para(64(a,1),8217(a,1,2))]. 8220 (x / (x * L(x \ 1,y,z))) / x = 1 / (x * L(x \ 1,y,z)). [hyper(236,a,8218,a)]. 8223 (L(1 / x,y,z) \ 1) / x = 1 / (x * L(x \ 1,y,z)). [para(2174(a,1),8220(a,1,1))]. 8224 1 / (x * L(x \ 1,y,z)) = L(1 / x,y,z) \ (1 / x). [hyper(189,a,5008,a(flip),b,8223,a(flip))]. 8225 1 / (x * L(x \ 1,y,z)) = L(x \ 1,y,z) \ (x \ 1). [hyper(189,a,5085,a(flip),b,8224,a)]. 8226 1 / ((x \ 1) * L((x \ 1) \ 1,y,z)) = L(x,y,z) \ x. [hyper(189,a,5779,a(flip),b,8225,a)]. 8227 (1 / (x * L(x \ 1,y,z))) \ (L(x \ 1,y,z) \ 1) = (x \ 1) \ 1. [para(8225(a,2),5007(a,1,1))]. 8228 1 / (x \ L(x,y,z)) = L(x,y,z) \ x. [para(854(a,1),8226(a,1,2))]. 8229 (L(x,y,z) \ x) * (x \ L(x,y,z)) = 1. [para(8228(a,1),19(a,1,1))]. 8230 (L(x,y,z) \ x) * T(x \ L(x,y,z),u) = K(x \ L(x,y,z),u). [para(8228(a,1),4390(a,2,1)),flip(a)]. 8231 ((((x \ L(x,y,z)) * u) / (((L(x,y,z) \ x) * (x \ L(x,y,z))) * u)) \ 1) \ 1 = K((L(x,y,z) \ x) \ 1,L(x,y,z) \ x) * (((x \ L(x,y,z)) * u) / (1 * u)). [para(8229(a,1),5661(a,1,2,2,1)),flip(a)]. 8232 (((x * y) \ x) \ 1) / ((y \ 1) \ 1) = 1 / (y * ((x * y) \ x)). [para(8227(a,1),7705(a,1,2))]. 8233 (1 / ((x * y) \ x)) / y = 1 / (y * ((x * y) \ x)). [hyper(189,a,4929,a(flip),b,8232,a(flip)),flip(a)]. 8234 (1 / ((x * y) \ x)) / y = (y * ((x * y) \ x)) \ 1. [hyper(189,a,5806,a(flip),b,8233,a)]. 8235 (x * ((y * x) \ y)) \ 1 = x \ (1 / ((y * x) \ y)). [hyper(189,a,7876,a(flip),b,8234,a(flip))]. 8236 ((x * ((y * x) \ y)) \ 1) \ (1 / ((y * x) \ y)) = x. [para(8234(a,1),69(a,1,1))]. 8237 ((x * ((y * x) \ y)) \ 1) * T(x,z) = T(x,z) / (x * ((y * x) \ y)). [para(8236(a,1),4187(a,1,2,1))]. 8238 ((x * ((y * x) \ y)) \ 1) * T(x,z) = (x * ((y * x) \ y)) \ T(x,z). [hyper(189,a,5806,a(flip),b,8237,a)]. 8239 (x \ (1 / ((y * x) \ y))) * T(x,z) = (x * ((y * x) \ y)) \ T(x,z). [para(8235(a,1),8238(a,1,1))]. 8240 T((1 / ((x * y) \ x)) * K(y,z),y) = (y * ((x * y) \ x)) \ T(y,z). [hyper(189,a,7877,a,b,8239,a(flip)),flip(a)]. 8241 T(T(1 / ((x * y) \ x),z),y) = (y * ((x * y) \ x)) \ T(y,z). [para(5238(a,1),8240(a,1,1))]. 8242 (x * ((y * x) \ y)) \ T(x,z) = T(1 / ((y * x) \ y),z). [hyper(189,a,5601,a(flip),b,8241,a(flip))]. 8243 1 / ((x * T(y,z)) \ x) = T(1 / ((x * y) \ x),z). [hyper(189,a,7112,a(flip),b,8242,a(flip)),flip(a)]. 8244 T(1 / ((x * y) \ x),z) \ 1 = (x * T(y,z)) \ x. [para(8243(a,1),69(a,1,1))]. 8245 ((x * T(y,z)) \ x) \ 1 = T(((x * y) \ x) \ 1,z). [para(8244(a,1),2096(a,1,1))]. 8246 T(((x * y) \ x) \ 1,x) = ((y * x) \ x) \ 1. [para(113(a,1),8245(a,1,1,1)),flip(a)]. 8247 L(x \ 1,x,y) \ K(x,y) = ((x * y) \ y) \ 1. [hyper(189,a,902,a(flip),b,8246,a(flip)),flip(a)]. 8248 L((K(x,y) * K(z,x)) \ 1,K(x,y) * K(z,x),u) \ K(K(x,y) * K(z,x),u) = (((K(y,x) * K(x,z)) \ u) \ u) \ 1. [para(8175(a,2),8247(a,2,1,1))]. 8249 (((K(x,y) * K(y,z)) \ u) \ u) \ 1 = (K(x,y) * K(y,z)) \ K(K(y,x) * K(z,y),u). [para(6649(a,1),8248(a,1,1)),flip(a)]. 8250 (((K(x,y) * K(y,z)) \ u) \ u) \ 1 = (K(y,x) * K(z,y)) * K(K(y,x) * K(z,y),u). [hyper(189,a,8175,a(flip),b,8249,a)]. 8252 (((K(x,y) * K(y,z)) \ u) \ u) \ 1 = T(K(y,x) * K(z,y),u). [hyper(189,a,4396,a,b,8250,a)]. 8253 ((K(x,y) * (K(y,z) * u)) \ u) \ 1 = T(K(y,z) * K(x,y),u). [para(8172(a,1),8252(a,1,1,1))]. 8254 K(x,y \ (x \ 1)) / ((L(y * (x * ((y \ 1) / x)),z,u) \ 1) * (y * (x * ((y \ 1) / x)))) = L(K(y \ (x \ 1),x) \ 1,z,u). [para(6782(a,1),6788(a,1,1))]. 8255 K(x,y \ (x \ 1)) / ((L(K(x,y \ (x \ 1)),z,u) \ 1) * (y * (x * ((y \ 1) / x)))) = L(K(y \ (x \ 1),x) \ 1,z,u). [para(6782(a,1),8254(a,1,2,1,1,1))]. 8256 K(x,y \ (x \ 1)) / ((K(x,L(x * y,z,u) \ 1) \ 1) * (y * (x * ((y \ 1) / x)))) = L(K(y \ (x \ 1),x) \ 1,z,u). [para(6776(a,1),8255(a,1,2,1,1))]. 8257 K(x,y \ (x \ 1)) / (K(L(x * y,z,u) \ 1,x) * (y * (x * ((y \ 1) / x)))) = L(K(y \ (x \ 1),x) \ 1,z,u). [para(3871(a,1),8256(a,1,2,1))]. 8258 K(x,y \ (x \ 1)) / (K(L(x * y,z,u) \ 1,x) * K(x,y \ (x \ 1))) = L(K(y \ (x \ 1),x) \ 1,z,u). [para(6782(a,1),8257(a,1,2,2))]. 8259 (x * K(y,z * x)) / T(T(K(y,z),x * K(y,z * x)),x * K(y,z * x)) = (K(y,z * x) * x) / K(y,T(z,x * K(y,z * x))). [para(5334(a,2),6848(a,2,2))]. 8260 (x * K(y,z * x)) / T(T(K(y,z),x * K(y,z * x)),x * K(y,z * x)) = (K(y,z * x) * x) / K(y,T(z,x)). [para(7593(a,1),8259(a,2,2))]. 8261 (x * K(y,z * x)) / T(T(K(y,z),x * K(y,z * x)),x * K(y,z * x)) = (K(y,z * x) * x) * K(z,T(y,x)). [hyper(189,a,5401,a(flip),b,8260,a)]. 8263 (x * K(y,z * x)) / T(T(K(y,z),x * K(y,z * x)),x * K(y,z * x)) = K(y,z * x) * (x * K(z,T(y,x))). [hyper(189,a,6906,a(flip),b,8261,a)]. 8264 (x * K(y,z * x)) / T(T(K(y,z),x * K(y,z * x)),x * K(y,z * x)) = K(y,z * x) * (K(z,y) * x). [para(5345(a,1),8263(a,2,2))]. 8265 (x * K(y,z * x)) / K(y,z) = K(y,z * x) * (K(z,y) * x). [para(6031(a,1),8264(a,1,2))]. 8266 (x * K(y,z * x)) * K(z,y) = K(y,z * x) * (K(z,y) * x). [hyper(3930,a,8265,a)]. 8268 K(x,y * z) * (K(y,x) * z) != u | z * (K(x,y * z) * K(y,x)) = u. [para(8266(a,1),6764(a,1))]. 8269 L(x,y,z) * (K(x,u * L(x,y,z)) * K(u,x)) = L(L(x,u,x),y,z). [hyper(8268,a,7860,a)]. 8270 L(x,y,z) * (K(u,x) * K(x,u * L(x,y,z))) = L(L(x,u,x),y,z). [para(1959(a,1),8269(a,1,2))]. 8271 L(x,y,z) * (a(x,u,L(x,y,z)) \ 1) = L(L(x,u,x),y,z). [para(8015(a,1),8270(a,1,2))]. 8272 L(x,y,z) \ L(L(x,u,x),y,z) = a(x,u,L(x,y,z)) \ 1. [hyper(80,a,8271,a)]. 8273 K(x * (y \ T(y * z,y)),K(y * z,L(y,z,x))) / ((x * z) / (x * (y \ T(y * z,y)))) = 1 / ((x * (y \ T(y * z,y))) \ (x * z)). [para(7286(a,1),5941(a,1,1))]. 8274 L(K(x \ ((y \ 1) \ x),(x \ ((y \ 1) \ x)) * T(x,y)),T(x,y),z) = (z * (y \ T(x * y,y))) \ (z * T(x,y)). [para(8146(a,1),8141(a,2,1,2))]. 8275 K(x * (y \ T(y * z,y)),K(y * z,y)) / ((x * z) / (x * (y \ T(y * z,y)))) = 1 / ((x * (y \ T(y * z,y))) \ (x * z)). [para(6689(a,1),8273(a,1,1,2))]. 8276 K(x * y,K(z * (x \ T(x * y,x)),x)) / ((z * y) / (z * (x \ T(x * y,x)))) = 1 / ((z * (x \ T(x * y,x))) \ (z * y)). [para(5966(a,1),8275(a,1,1))]. 8278 K(x * y,K(z * (x \ (x * y)),x)) / ((z * y) / (z * (x \ T(x * y,x)))) = 1 / ((z * (x \ T(x * y,x))) \ (z * y)). [para(6248(a,1),8276(a,1,1,2))]. 8279 K(x * y,K(z * y,x)) / ((z * y) / (z * (x \ T(x * y,x)))) = 1 / ((z * (x \ T(x * y,x))) \ (z * y)). [para(16(a,1),8278(a,1,1,2,1,2))]. 8280 K(x,K(x * y,z * y)) / ((z * y) / (z * (x \ T(x * y,x)))) = 1 / ((z * (x \ T(x * y,x))) \ (z * y)). [para(5969(a,1),8279(a,1,1))]. 8281 K(x,K(y,z * y)) / ((z * y) / (z * (x \ T(x * y,x)))) = 1 / ((z * (x \ T(x * y,x))) \ (z * y)). [para(6003(a,1),8280(a,1,1))]. 8282 K(x,K(y,z)) / ((y * z) / (y * (x \ T(x * z,x)))) = 1 / ((y * (x \ T(x * z,x))) \ (y * z)). [para(5992(a,1),8281(a,1,1))]. 8283 K(x,K(y,z)) / ((x * z) / (x * (y \ T(y * z,y)))) = 1 / ((x * (y \ T(y * z,y))) \ (x * z)). [para(5966(a,1),8282(a,1,1))]. 8284 K(x,K(y,z)) / L(K(y,T(z * y,x)),z,x) = 1 / ((x * (y \ T(y * z,y))) \ (x * z)). [para(7613(a,1),8283(a,1,2))]. 8285 K(x,K(y,z)) * L(K(T(z * y,x),y),z,x) = 1 / ((x * (y \ T(y * z,y))) \ (x * z)). [hyper(5908,a,8284,a)]. 8286 K(x,K(y,z)) * L(K(z * y,T(y,x)),z,x) = 1 / ((x * (y \ T(y * z,y))) \ (x * z)). [para(5380(a,1),8285(a,1,2,1))]. 8287 1 / ((x * (y \ T(y * z,y))) \ (x * z)) != K(x,K(y,z)) * u | L(K(z * y,T(y,x)),z,x) = u. [para(8286(a,1),22(a,1))]. 8288 (((T(x,y) \ 1) * x) * T((x \ 1) \ 1,y)) * (T((x \ 1) \ 1,y) \ y) = y * T(y \ T(y * K(x \ 1,x),x),T((x \ 1) \ 1,y)). [para(5520(a,1),4019(a,1,1,1))]. 8289 x * T(x \ T(x * K(y \ 1,y),y),T((y \ 1) \ 1,x)) = (K(x,y) * T(y,x)) * (T((y \ 1) \ 1,x) \ x). [para(4789(a,1),8288(a,1,1)),flip(a)]. 8290 x * T(x \ T(x * K(y \ 1,y),y),T((y \ 1) \ 1,x)) = y * (T((y \ 1) \ 1,x) \ x). [para(4370(a,1),8289(a,2,1))]. 8291 x * T(x \ T(x * K(y \ 1,y),y),T((y \ 1) \ 1,x)) = y \ (x * (1 / (1 / y))). [hyper(189,a,4984,a(flip),b,8290,a)]. 8292 x * T((T(y,x) \ 1) * y,T((y \ 1) \ 1,x)) = y \ (x * (1 / (1 / y))). [para(5595(a,1),8291(a,1,2,1))]. 8293 x * T((T(y,x) \ 1) * y,T(y,x)) = y \ (x * (1 / (1 / y))). [para(2676(a,1),8292(a,1,2))]. 8294 x \ (y * (1 / (1 / x))) = y * ((T(x,y) \ 1) * x). [para(6852(a,1),8293(a,1,2)),flip(a)]. 8295 K((x * (1 / (1 / y))) \ (y * z),T(z,u)) = K((x * ((T(y,x) \ 1) * y)) \ z,T(z,u)). [para(8294(a,1),5538(a,1,1,1)),flip(a)]. 8297 K((x * ((T(y,x) \ 1) * y)) \ z,T(z,u)) = K((x * y) \ (((y \ 1) \ 1) * z),T(z,u)). [para(3259(a,1),8295(a,1,1)),flip(a)]. 8298 K((x * ((T(y,x) \ 1) * y)) \ z,T(z,u)) = K((x * y) \ (z * y),T(z,u)). [hyper(189,a,6578,a(flip),b,8297,a)]. 8299 K((x * ((T(y,x) \ 1) * y)) \ z,T(z,x)) = K(x \ z,T(z,y)). [hyper(189,a,7099,a(flip),b,8298,a)]. 8300 K(T(x,y) \ z,T(z,x)) = K(x \ z,T(z,y)). [hyper(189,a,5584,a(flip),b,8299,a(flip)),flip(a)]. 8301 K(T(x,y) \ z,z) = K(x \ z,T(z,y)). [hyper(189,a,7530,a(flip),b,8300,a(flip)),flip(a)]. 8302 R(x,y,z) \ R(x * K(u \ x,T(x,w)),y,z) = K(T(u,w) \ x,R(x,y,z)). [para(8301(a,1),4741(a,1,2,1,2))]. 8303 K(T(x,y) \ z,R(z,u,w)) = K(x \ z,R(T(z,y),u,w)). [hyper(189,a,7049,a(flip),b,8302,a(flip))]. 8304 (x * y) / (R((z \ R(1 / u,u,x)) * z,u * x,y) * ((u * x) * y)) = K(z,(x * y) / (z * (R(R(1 / u,u,x),u * x,y) \ (x * y)))). [para(3270(a,2),5702(a,1,2,1))]. 8305 (1 / (x \ y)) \ R(1 / (x \ y),z,L(1 / (x \ y),x \ y,x)) = K(z * (1 / (1 / (y \ x))),T(y \ x,z)) * K(1 / (x \ y),z). [para(6876(a,1),7046(a,2,1))]. 8306 (1 / (x \ y)) \ R(1 / (x \ y),z,L(1 / (x \ y),x \ y,x)) = K(z * (y \ x),y \ x) * K(1 / (x \ y),z). [para(7178(a,1),8305(a,2,1))]. 8307 (1 / (x \ y)) \ R(1 / (x \ y),z,L(1 / (x \ y),x \ y,x)) = K(z * (y \ x),y \ x) * K((x \ y) \ 1,z). [para(2647(a,1),8306(a,2,2))]. 8309 (1 / (x \ y)) \ R(1 / (x \ y),z,L(1 / (x \ y),x \ y,x)) = K(z * (y \ x),y \ x) * K(y \ x,z). [para(5209(a,1),8307(a,2,2))]. 8310 (1 / (x \ y)) \ R(1 / (x \ y),z,L(1 / (x \ y),x \ y,x)) = (y \ x) \ R(y \ x,z,y \ x). [hyper(189,a,4697,a(flip),b,8309,a)]. 8311 (1 / (x \ y)) \ R(1 / (x \ y),z,1 / (1 / (y \ x))) = (y \ x) \ R(y \ x,z,y \ x). [para(2196(a,1),8310(a,1,2,3))]. 8312 (1 / (x \ y)) \ R(1 / (x \ y),z,y \ x) = (y \ x) \ R(y \ x,z,y \ x). [para(4079(a,1),8311(a,1,2))]. 8313 (x \ y) * R((x \ y) \ 1,z,y \ x) = (y \ x) \ R(y \ x,z,y \ x). [hyper(859,a,8312,a)]. 8314 (x \ y) \ R(x \ y,z,x \ y) = y \ (x * R(x \ y,z,x \ y)). [hyper(189,a,1315,a(flip),b,8313,a(flip))]. 8315 T(x,x \ y) \ R((x \ y) \ y,z,(x \ y) \ y) = y \ ((x \ y) * R((x \ y) \ y,z,(x \ y) \ y)). [hyper(535,a,8314,a)]. 8316 T(x,x \ y) \ R((x \ y) \ y,z,(x \ y) \ y) = y \ (R(x,z,(x \ y) \ y) * (x \ y)). [para(513(a,1),8315(a,2,2))]. 8317 T(x,x \ y) \ R((x \ y) \ y,z,(x \ y) \ y) = y \ (R(x,z,x) * (x \ y)). [para(7715(a,1),8316(a,2,2,1))]. 8318 x \ (R(y,z,y) * (y \ x)) = y \ R(y,z,y). [hyper(189,a,7723,a(flip),b,8317,a(flip))]. 8321 R(x,y,x) * (x \ z) = z * (x \ R(x,y,x)). [para(8318(a,1),17(a,1,2)),flip(a)]. 8322 R(x,y,x) * (x \ z) = z * a(x,y,x). [para(7941(a,1),8321(a,2,2))]. 8323 (x / y) * ((y \ z) \ T(z,y)) = x * a(y,y \ z,y). [hyper(189,a,6713,a(flip),b,8322,a(flip)),flip(a)]. 8324 (x / y) * R(y,z,y) = x * a(y,z,y). [hyper(189,a,6710,a(flip),b,8322,a(flip)),flip(a)]. 8325 (x * a(y,z,y)) / R(y,z,y) = x / y. [hyper(76,a,8322,a(flip),b,6710,a(flip))]. 8326 x * (y * a(x,z,x)) = R(x,z,x) * y. [para(8322(a,1),924(a,1,2))]. 8327 (x * a(y,z,y)) \ (x * R(y,z,y)) = y. [para(8322(a,1),6712(a,1,1))]. 8328 (x * y) * a(y,z,y) = x * R(y,z,y). [para(18(a,1),8324(a,1,1)),flip(a)]. 8329 (x / y) * R(y,z,y) != x * u | a(y,z,y) = u. [para(8324(a,2),22(a,1))]. 8330 ((x \ y) * L(x,z,u)) * R(T(x,x \ y),w,T(x,x \ y)) = (y * L(x,z,u)) * a(T(x,x \ y),w,T(x,x \ y)). [para(1279(a,1),8324(a,1,1))]. 8331 K(x,y) * ((z / y) * R(y,u,y)) = y * (L(T(y,x),u,y) \ z). [para(8324(a,2),7972(a,1,2))]. 8332 R(x / y,y,a(y,z,y)) = x / y. [hyper(7953,a,8325,a)]. 8333 R((x * y) / y,y,a(y,z,y)) = x. [hyper(189,a,18,a(flip),b,8332,a)]. 8334 R(x,y,a(y,z,y)) = x. [para(18(a,1),8333(a,1,1))]. 8336 L(T(x,a(x,y,x)),a(x,y,x),R(z,x,a(x,y,x))) = (z * a(x,y,x)) \ ((z * x) * a(x,y,x)). [para(8334(a,1),555(a,1,1,1)),flip(a)]. 8337 x * (a(x,y,x) * z) = R(x,y,x) * z. [para(7980(a,2),8326(a,1,2))]. 8338 (x * (y * z)) \ (x * (y * R(z,u,z))) != w | L(a(z,u,z),y * z,x) = w. [para(8328(a,1),355(a,1,2,2))]. 8339 (a(x,y,x) \ 1) \ K(z * x,a(x,y,x)) = (((z * R(x,y,x)) / (z * x)) \ 1) \ 1. [para(8328(a,1),4736(a,1,1,1,1)),flip(a)]. 8340 a(x,y,x) * (x * z) = R(x,y,x) * z. [hyper(20,a,922,a(flip),b,8337,a)]. 8341 ((R(x,y,x) * z) * u) / ((x * z) * u) != w | R(a(x,y,x),x * z,u) = w. [para(8340(a,1),385(a,1,1,1))]. 8342 R(x,y,x) * (T(x,z) \ u) = x * (L(T(x,z),y,x) \ u). [hyper(189,a,8094,a(flip),b,8331,a(flip)),flip(a)]. 8343 K(x,y) * (x * (L(T(x,z),u,x) \ w)) = R(T(x,y),u,x) * (T(x,z) \ w). [para(8342(a,1),8070(a,1,2))]. 8344 R(T(x,y),z,x) * (T(x,u) \ w) = T(x,y) * (L(T(x,u),z,x) \ w). [hyper(4564,a,8343,a),flip(a)]. 8345 (((x * R(y,z,y)) / (x * y)) \ 1) \ 1 = a(y,z,y) * K(x * y,a(y,z,y)). [hyper(8001,a,8339,a),flip(a)]. 8346 a(x,y,x) * K(z * x,a(x,y,x)) = (R(a(x,y,x),x,z) \ 1) \ 1. [para(7951(a,1),8345(a,1,1,1)),flip(a)]. 8347 a(x,y,x) * K(z * x,a(x,y,x)) = R((a(x,y,x) \ 1) \ 1,x,z). [hyper(189,a,3105,a,b,8346,a)]. 8348 L(T(x,a(x,y,x)),a(x,y,x),R(z,x,a(x,y,x))) = (z * a(x,y,x)) \ (z * R(x,y,x)). [para(8328(a,1),8336(a,2,2))]. 8349 L(T(x,a(x,y,x)),a(x,y,x),R(z,x,a(x,y,x))) = x. [hyper(189,a,8327,a(flip),b,8348,a)]. 8352 L(x,a(x,y,x),R(z,x,a(x,y,x))) = x. [para(7737(a,1),8349(a,1,1))]. 8353 L(x,a(x,y,x),z) = x. [para(372(a,1),8352(a,1,3))]. 8354 (x * a(y,z,y)) * L(y,u,w) = x * (a(y,z,y) * L(y,u,w)). [para(8353(a,1),352(a,1,2,1))]. 8355 (x * L(y,z,u)) * a(T(y,y \ x),w,T(y,y \ x)) = ((y \ x) * L(y,z,u)) * R(T(y,y \ x),w,y). [para(6434(a,1),8330(a,1,2)),flip(a)]. 8357 (K(x,y) * K(z,x)) \ (K((K(x,y) * K(z,x)) \ u,K(x,y)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = ((K(y,x) * (K(x,z) * u)) \ u) \ 1. [para(8169(a,1),8190(a,2,1,1))]. 8358 (x * y) / (R(R((z \ (1 / u)) * z,u,x),u * x,y) * ((u * x) * y)) = K(z,(x * y) / (z * (R(R(1 / u,u,x),u * x,y) \ (x * y)))). [para(3270(a,2),8304(a,1,2,1,1))]. 8359 (K(x,y) * K(z,x)) \ (K((K(x,y) * K(z,x)) \ u,K(x,y)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = T(K(x,z) * K(y,x),u). [hyper(189,a,8253,a(flip),b,8357,a)]. 8360 (K(x,y) * K(z,x)) \ (K(K(y,x) * (K(x,z) * u),K(x,y)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = T(K(x,z) * K(y,x),u). [para(8169(a,1),8359(a,1,2,1,1))]. 8361 (K(x,y) * K(z,x)) \ (K(x,K(u,y)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = T(K(x,z) * K(y,x),u). [para(6262(a,1),8360(a,1,2,1))]. 8362 (K(x,y) * K(z,x)) \ (K(x,K(y,u)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = T(K(x,z) * K(y,x),u). [para(5983(a,1),8361(a,1,2,1))]. 8364 (K(x,y) * K(z,x)) \ (K(x,K(y,u)) * K(K(y,x) * (K(x,z) * u),K(x,z))) = T(K(x,z) * K(y,x),u). [para(8169(a,1),8362(a,1,2,2,1))]. 8365 (K(x,y) * K(z,x)) \ (K(x,K(y,u)) * K(x,K(u,z))) = T(K(x,z) * K(y,x),u). [para(6262(a,1),8364(a,1,2,2))]. 8367 (K(x,y) * K(z,x)) \ K(u,K(x,y) * K(z,x)) = T(K(x,z) * K(y,x),u). [para(8214(a,1),8365(a,1,2))]. 8368 K(x,y) * (K(y,z) * K(u,K(y,x) * K(z,y))) = T(K(y,z) * K(x,y),u). [hyper(189,a,8169,a(flip),b,8367,a(flip)),flip(a)]. 8369 T(x * K(y,z),K(z,u)) / (K(u,z) * x) = T(K(z,u) * K(y,z),x). [hyper(189,a,8215,a,b,8368,a(flip)),flip(a)]. 8370 T(K(x,y) * K(z,x),K(y,x) * u) = T(K(x,y) * K(z,x),u). [hyper(189,a,8213,a(flip),b,8369,a(flip)),flip(a)]. 8371 K(x,(y * z) / (x * (R(R(1 / u,u,y),u * y,z) \ (y * z)))) = (y * z) / ((R((x \ (1 / u)) * x,u,y) * (u * y)) * z). [para(110(a,1),8358(a,1,2)),flip(a)]. 8372 K(x,(y * z) / (x * (R(R(1 / u,u,y),u * y,z) \ (y * z)))) = (y * z) / (((((x \ (1 / u)) * x) * u) * y) * z). [para(110(a,1),8371(a,2,2,1))]. 8373 K(x,(y * z) / (x * (R(R(1 / u,u,y),u * y,z) \ (y * z)))) = (y * z) / ((K(u \ (x \ 1),x) * y) * z). [para(5554(a,1),8372(a,2,2,1,1))]. 8374 K(x,(y * z) / (x * (R(R(1 / u,u,y),u * y,z) \ (y * z)))) = R(K(x,u \ (x \ 1)),y,z). [hyper(189,a,5673,a(flip),b,8373,a)]. 8375 K(x,(y * z) / (x * (R(R(1 / u,u,y),u * y,z) \ (y * z)))) = K(x,R(u * x,y,z) \ 1). [hyper(189,a,5671,a(flip),b,8374,a)]. 8376 K(x,(y * z) / (x * ((u * y) * z))) = K(x,R(u * x,y,z) \ 1). [para(452(a,1),8375(a,1,2,2,2))]. 8377 K(x,R(y * x,z,u) \ 1) = K(x,R(y,z,u) \ (x \ 1)). [hyper(5701,a,8376,a),flip(a)]. 8378 K(x \ 1,R(y,z,u) \ ((x \ 1) \ 1)) = K(R(x,z,u) \ 1,y \ x). [hyper(7481,a,8377,a),flip(a)]. 8379 K(R(x,y,z) \ 1,u \ x) = K(x \ 1,R(u,y,z) \ x). [hyper(189,a,7439,a(flip),b,8378,a(flip))]. 8380 K(x \ 1,R(y / (z / u),z / u,u) \ x) = K(x \ 1,z / ((x \ y) * u)). [hyper(189,a,7491,a(flip),b,8379,a(flip))]. 8381 K(x \ 1,y / ((x \ z) * u)) = K(x \ 1,((z * u) / y) \ x). [para(391(a,1),8380(a,1,2,1)),flip(a)]. 8382 K(x \ 1,y / ((z / x) * u)) = K(x \ 1,((z * u) / y) \ x). [hyper(189,a,8102,a,b,8381,a(flip)),flip(a)]. 8383 K((x \ 1) \ 1,((y * z) / u) \ (x \ 1)) = K(x,u / ((y * x) * z)). [hyper(189,a,8100,a(flip),b,8382,a(flip))]. 8384 K(x,((y * z) / u) \ (x \ 1)) = K(x,u / ((y * x) * z)). [hyper(2659,a,8383,a)]. 8385 K(x,y / ((z * u) * x)) = K(x,y / ((z * x) * u)). [hyper(189,a,6761,a(flip),b,8384,a(flip)),flip(a)]. 8386 K(x,y / ((z * x) * u)) = K(x,y / (x * (z * u))). [hyper(189,a,6757,a(flip),b,8385,a(flip))]. 8387 K(x,((y * x) * z) / (x * (y * (y \ z)))) = L(K(x,y),z,y * x). [hyper(189,a,8124,a(flip),b,8386,a(flip))]. 8388 K(x,y / ((x * z) * u)) = K(x,y / (x * (z * u))). [hyper(189,a,7016,a(flip),b,8386,a(flip)),flip(a)]. 8389 (x \ 1) / (x \ K(x,y / (x * (z * u)))) = K(y / ((x * z) * u),x). [para(8388(a,1),3970(a,1,2,2))]. 8390 x * K(x,y / (x * (z * u))) = T(x,y / ((x * z) * u)). [para(8388(a,1),4396(a,2,2)),flip(a)]. 8391 L(K(x,y),z,y * x) = K(x,((y * x) * z) / (x * z)). [para(17(a,1),8387(a,1,2,2,2)),flip(a)]. 8392 L(K(x,y),z,y * x) = K(x,R(y,x,z)). [para(33(a,2),8391(a,2,2))]. 8394 R(K(x,y),z,T(y * x,z)) = K(x,R(y,x,z)). [hyper(8121,a,8392,a)]. 8395 L(T(K(x,y),z),u,y * x) = T(K(x,R(y,x,u)),z). [para(8392(a,1),43(a,2,1))]. 8396 K(x,R(y,x,T(z,y * x))) != u | K(((z / x) * (y * x)) \ (z * (y * x)),y) = u. [para(8392(a,1),7694(a,1))]. 8397 K(x,R(y,x,z)) * ((y * x) * z) = (K(x,y) * z) * T(y * x,z). [para(8394(a,1),383(a,1,1))]. 8398 L(T(K(x,y),z),u,y * x) = K(x,T(R(y,x,u),z)). [hyper(189,a,5334,a,b,8395,a)]. 8399 L(T(K(x,y),z),u,y * x) = K(x,R(T(y,z),x,u)). [para(45(a,2),8398(a,2,2))]. 8400 L(K(x,T(y,z)),u,y * x) = K(x,R(T(y,z),x,u)). [para(5334(a,2),8399(a,1,1))]. 8401 L(K(x \ y,T(x,z)),u,x * (x \ y)) = R(K(x \ y,T(x,z)),y,u). [hyper(189,a,5691,a(flip),b,8400,a)]. 8402 (K(x,y) * z) * T(y * x,z) = (y * (K(x,y) * x)) * z. [hyper(189,a,5038,a(flip),b,8397,a(flip))]. 8403 (K(x,y) * z) * T(y * x,z) = (x * y) * z. [para(4451(a,1),8402(a,2,1))]. 8404 (x * y) * (K(y,x) * z) = (y * x) * z. [hyper(189,a,7472,a(flip),b,8403,a(flip)),flip(a)]. 8406 L(x,K(y,z),z * y) = x. [hyper(643,a,8404,a)]. 8407 x * (K(y \ x,y) * z) = ((y \ x) * y) * z. [hyper(411,a,8404,a)]. 8409 K(x,y) * ((x * y) \ z) = (y * x) \ z. [hyper(75,a,17,a(flip),b,8404,a),flip(a)]. 8410 L(x,K(y \ z,y),z) = x. [para(17(a,1),8406(a,1,3))]. 8411 L(x,K(y,y \ z),z) = x. [para(3944(a,1),8410(a,1,2))]. 8412 (x * (y / x)) \ (y * z) = K(x \ y,x) * z. [hyper(189,a,4015,a(flip),b,8411,a(flip)),flip(a)]. 8413 ((x * y) \ z) \ K(y,x) = ((y * x) \ z) \ 1. [para(8409(a,1),7358(a,1,1)),flip(a)]. 8414 L(K(x \ y,x),z,y) * (y * z) = ((x \ y) * x) * z. [hyper(7755,a,8407,a)]. 8415 ((x \ y) * x) * (y \ z) = K(x \ y,x) * z. [hyper(20,a,7837,a,b,8407,a),flip(a)]. 8417 K(x \ y,x) * (y \ z) = (x * (y / x)) \ z. [para(17(a,1),8412(a,1,2)),flip(a)]. 8418 K(x,y) * ((((x * y) \ y) \ 1) \ z) = (((y * x) \ y) \ 1) \ z. [para(8413(a,1),5776(a,1,2,1))]. 8419 K(x \ y,x) * (y * z) = ((x \ y) * x) * z. [para(16(a,1),8415(a,1,2)),flip(a)]. 8420 ((x \ y) * x) * (y \ z) = y * ((x * (y / x)) \ z). [para(8417(a,1),8407(a,1,2)),flip(a)]. 8423 x * ((y * (x / y)) \ z) = K(y \ x,y) * z. [hyper(189,a,8415,a(flip),b,8420,a(flip))]. 8424 (x * (y / x)) \ (K(x,x \ y) * (y * z)) = z. [hyper(20,a,3887,a(flip),b,8423,a)]. 8425 L(x,y,K(z,z \ y)) = x. [hyper(4323,a,8424,a)]. 8426 L(x,y * z,K(z,y)) = x. [para(3891(a,1),8425(a,1,3))]. 8427 L(x,y,z * K(y,z)) = L(x,y,z). [hyper(189,a,4044,a(flip),b,8426,a(flip)),flip(a)]. 8428 L(x,T(y,z) * z,K(z,y)) = x. [para(3874(a,1),8426(a,1,3))]. 8429 L(x,y,T(z,y)) = L(x,y,z). [hyper(5742,a,8428,a),flip(a)]. 8430 L(x,y,z / y) = L(x,y,y \ z). [para(115(a,1),8429(a,1,3)),flip(a)]. 8431 L(x,T(y,z),z) = L(x,y,z). [hyper(4934,a,8427,a)]. 8432 L(x,y,z) = (y * z) \ (z * (T(y,z) * x)). [hyper(189,a,4932,a,b,8427,a(flip))]. 8433 L(x,y / z,z) = L(x,z \ y,z). [para(115(a,1),8431(a,1,2)),flip(a)]. 8438 L(x,1 / y,(1 / y) \ z) = L(x,y \ z,y). [hyper(189,a,5876,a(flip),b,8430,a(flip))]. 8439 (x * (T(y,x) * z)) / L(z,y,x) = y * x. [para(8432(a,2),67(a,1,2))]. 8440 L(x,y \ 1,(1 / y) \ z) = L(x,y \ z,y). [hyper(189,a,5788,a(flip),b,8438,a(flip)),flip(a)]. 8443 L(K(x \ y,x),z,y) = K(x \ y,x). [hyper(21,a,8419,a,b,8414,a)]. 8445 K(x,y) * ((y \ ((x \ 1) \ y)) \ z) = (((y * x) \ y) \ 1) \ z. [para(4271(a,1),8418(a,1,2,1))]. 8446 (((x \ 1) \ y) / y) \ z = (((y * x) \ y) \ 1) \ z. [hyper(189,a,4920,a(flip),b,8445,a(flip)),flip(a)]. 8447 (((x * y) \ x) \ 1) \ K(y,y \ 1) = 1 / (((y \ 1) \ x) / x). [hyper(189,a,5023,a(flip),b,8446,a(flip))]. 8448 1 / (((x \ 1) \ y) / y) = (y * x) \ y. [hyper(4913,a,8447,a),flip(a)]. 8449 1 / (((x \ y) / y) \ 1) = (y * x) \ y. [para(4263(a,1),8448(a,1,2))]. 8450 (x \ y) / y = (y * x) \ y. [hyper(246,a,8449,a),flip(a)]. 8452 (x * (x / y)) \ x = y / x. [para(69(a,1),8450(a,1,1)),flip(a)]. 8456 K(x / ((y * z) * u),y) = K(x / (y * (z * u)),y). [hyper(3971,a,8389,a),flip(a)]. 8457 K(x / (y * (z * x)),y) = K(z \ (y \ 1),y). [hyper(189,a,5553,a(flip),b,8456,a(flip))]. 8458 K(x / ((y * x) * z),z) = K(y \ (z \ 1),z). [hyper(7424,a,8457,a)]. 8459 K((x \ y) / (z * y),z) = K(x \ (z \ 1),z). [para(17(a,1),8457(a,1,1,2,2))]. 8460 K((x / y) \ (z \ 1),z) = K(y / (x * z),z). [para(19(a,1),8458(a,1,1,2,1)),flip(a)]. 8461 K(((x \ y) * x) / (z * (y / (y / x))),z) = K((x / y) \ (z \ 1),z). [para(4865(a,1),8459(a,1,1,1))]. 8462 R(K(x \ y,T(x,z)),y,u) = L(K(x \ y,T(x,z)),u,y). [para(17(a,1),8401(a,1,3)),flip(a)]. 8463 K(((x \ y) * x) / (z * (y / (y / x))),z) = K(y / (x * z),z). [hyper(189,a,8460,a(flip),b,8461,a)]. 8464 K(R(x \ (y / z),x,y / (y / z)),x) = K(y / (z * x),x). [hyper(189,a,3965,a,b,8463,a(flip)),flip(a)]. 8465 (K(x,y \ (x \ 1)) * L(K(y \ (x \ 1),x),z,u)) * ((y * (x * ((y \ 1) / x))) \ w) = w * L(w \ ((y * (x * ((y \ 1) / x))) \ w),z,u). [para(6782(a,1),6787(a,1,1,1))]. 8466 (K(x,y \ (x \ 1)) * K(L(y * x,z,u) \ 1,x)) * ((y * (x * ((y \ 1) / x))) \ w) = w * L(w \ ((y * (x * ((y \ 1) / x))) \ w),z,u). [para(5586(a,1),8465(a,1,1,2))]. 8467 (K(x,y \ (x \ 1)) * K(L(y,z,u) \ (x \ 1),x)) * ((y * (x * ((y \ 1) / x))) \ w) = w * L(w \ ((y * (x * ((y \ 1) / x))) \ w),z,u). [para(7806(a,1),8466(a,1,1,2))]. 8468 (K(x,y \ (x \ 1)) * K(L(y,z,u) \ (x \ 1),x)) * (K(x,y \ (x \ 1)) \ w) = w * L(w \ ((y * (x * ((y \ 1) / x))) \ w),z,u). [para(6782(a,1),8467(a,1,2,1))]. 8469 (K(x,y \ (x \ 1)) * K(L(y,z,u) \ (x \ 1),x)) * (K(y \ (x \ 1),x) * w) = w * L(w \ ((y * (x * ((y \ 1) / x))) \ w),z,u). [para(3889(a,1),8468(a,1,2))]. 8470 x * L(x \ ((y * (z * ((y \ 1) / z))) \ x),u,w) = K(L(y,u,w) \ (z \ 1),z) * x. [hyper(189,a,8160,a(flip),b,8469,a(flip))]. 8472 x * L(x \ (K(y,z \ (y \ 1)) \ x),u,w) = K(L(z,u,w) \ (y \ 1),y) * x. [para(6782(a,1),8470(a,1,2,1,2,1))]. 8473 x * L(K(y \ (z \ 1),T(z,x)),u,w) = K(L(y,u,w) \ (z \ 1),z) * x. [para(5339(a,1),8472(a,1,2,1))]. 8474 x * K(L(y * z,u,w) \ 1,T(y,x)) = K(L(z,u,w) \ (y \ 1),y) * x. [para(7035(a,1),8473(a,1,2))]. 8475 K(L(x * y,z,u) \ 1,x) * w = K(L(y,z,u) \ (x \ 1),x) * w. [hyper(5346,a,8474,a)]. 8476 K(x,y \ (x \ 1)) / (K(L(y,z,u) \ (x \ 1),x) * K(x,y \ (x \ 1))) = L(K(y \ (x \ 1),x) \ 1,z,u). [para(8475(a,1),8258(a,1,2))]. 8477 L(K(x \ (y \ 1),y) \ 1,z,u) = K(y,L(x,z,u) \ (y \ 1)). [hyper(3910,a,8476,a),flip(a)]. 8479 L(K(x,y \ (x \ 1)),z,u) = K(x,L(y,z,u) \ (x \ 1)). [para(3871(a,1),8477(a,1,1))]. 8480 K(x,L(x * y,z,u) \ 1) = K(x,L(y,z,u) \ (x \ 1)). [hyper(189,a,6776,a(flip),b,8479,a(flip)),flip(a)]. 8481 K(x \ 1,L(y,z,u) \ ((x \ 1) \ 1)) = K(L(x,z,u) \ 1,y \ x). [hyper(189,a,7483,a(flip),b,8480,a(flip))]. 8482 K(L(x,y,z) \ 1,u \ x) = K(x \ 1,L(u,y,z) \ x). [hyper(189,a,7439,a(flip),b,8481,a(flip))]. 8483 K(L(x,y,z) \ 1,u \ (x * w)) = K(x \ 1,L(w \ u,y,z) \ x). [hyper(189,a,8109,a(flip),b,8482,a(flip)),flip(a)]. 8484 K(x \ 1,L((y \ z) \ u,y \ z,y) \ x) = K(x \ 1,(y * (x \ u)) \ z). [hyper(189,a,7167,a(flip),b,8483,a(flip))]. 8485 K(x \ 1,(y \ (z * u)) \ x) = K(x \ 1,(z * (x \ u)) \ y). [para(359(a,1),8484(a,1,2,1))]. 8486 K(x \ 1,(y * (x \ z)) \ u) != w | K(x \ 1,(y * z) \ (x * u)) = w. [para(8485(a,1),8069(a,1))]. 8487 K(x,K(K(x \ y,x) * z,R(x \ y,y,u))) * R(K(x \ y,x) * K(z,K(x \ y,x)),y,u) = L((y * u) / ((x * (y / x)) * u),z,K(x \ y,x)). [para(7274(a,1),8046(a,1,1))]. 8488 K(x,K(y,R(x \ z,z,u))) * R(K(x \ z,x) * K(y,K(x \ z,x)),z,u) = L((z * u) / ((x * (z / x)) * u),y,K(x \ z,x)). [para(7145(a,1),8487(a,1,1,2))]. 8490 K(x,K(y,R(z,y,u))) * R(K(x \ y,x) * K(z,K(x \ y,x)),y,u) = L((y * u) / ((x * (y / x)) * u),z,K(x \ y,x)). [para(7273(a,1),8488(a,1,1))]. 8491 L((x * y) / ((z * (x / z)) * y),u,K(z \ x,z)) = K(z,K(x,u)) * R(K(z \ x,z) * K(u,K(z \ x,z)),x,y). [para(7270(a,1),8490(a,1,1)),flip(a)]. 8492 L((x * y) / ((z * (x / z)) * y),u,K(z \ x,z)) = K(z,K(x,u)) * R(K(z \ x,T(z,u)),x,y). [para(6021(a,1),8491(a,2,2,1))]. 8494 L(R(K(x \ y,x),y,z),u,K(x \ y,x)) = K(x,K(y,u)) * R(K(x \ y,T(x,u)),y,z). [para(5675(a,1),8492(a,1,1))]. 8495 K(x,K(y,z)) * R(K(x \ y,T(x,z)),y,u) = R(K(x \ y,x),y,u). [hyper(189,a,6507,a(flip),b,8494,a(flip))]. 8497 K(x,K(y,z)) * L(K(x \ y,T(x,z)),u,y) = R(K(x \ y,x),y,u). [para(8462(a,1),8495(a,1,2))]. 8498 R(K(x \ y,x),y,z) = L(K(x \ y,x),z,y). [hyper(8136,a,8497,a),flip(a)]. 8499 R(K(x \ y,x),y,z) = K(x \ y,x). [hyper(189,a,8443,a(flip),b,8498,a)]. 8501 K(R(x \ y,x,z),x) = K(x \ y,x). [hyper(189,a,7543,a(flip),b,8499,a(flip)),flip(a)]. 8502 K(x / (y * z),z) = K(z \ (x / y),z). [hyper(189,a,8464,a(flip),b,8501,a(flip)),flip(a)]. 8503 K(R(x,y,z),y) = K(y \ (y * x),y). [para(16(a,1),8501(a,1,1,1))]. 8504 K(R(x,y,z),y) = K(R(x,y,u),y). [hyper(189,a,8503,a,b,8503,a)]. 8505 K(R(x,y,z),y) = K(x,y). [hyper(189,a,1215,a(flip),b,8503,a)]. 8506 K(R(x,y,z),T(y,u)) = K(x,T(y,u)). [hyper(8095,a,8505,a)]. 8507 K(x,R(y,x,z)) = K(x,y). [hyper(6752,a,8505,a)]. 8510 K(((x / y) * (z * y)) \ (x * (z * y)),z) = K(y,z). [hyper(8396,a,8507,a)]. 8512 K(x,y / (z * x)) = K(x,x \ (y / z)). [hyper(189,a,7406,a(flip),b,8507,a(flip)),flip(a)]. 8521 T(x,R(y,x,z)) = x * K(R(x,y,u),y). [para(8504(a,1),6754(a,1,2)),flip(a)]. 8524 ((x * y) * z) \ ((y * x) * z) = K(y,T(x,z)). [hyper(189,a,7829,a,b,8506,a(flip)),flip(a)]. 8525 K((T(x,y) \ z) / u,x) = K(x \ (z / u),x). [hyper(189,a,7425,a,b,8502,a(flip)),flip(a)]. 8527 K(x,y / (x * z)) = K(x,x \ (y / z)). [hyper(189,a,6757,a(flip),b,8512,a(flip)),flip(a)]. 8528 T(x,R(y,x,z)) = T(x,y). [hyper(189,a,6471,a(flip),b,8521,a)]. 8532 T(R(x,y,z),(u * (y * z)) / ((x * y) * z)) = T(R(x,y,z),u / R(x,y,z)). [para(397(a,1),8528(a,1,2))]. 8534 x * K(x,x \ (y / (z * u))) = T(x,y / ((x * z) * u)). [para(8527(a,1),8390(a,1,2))]. 8536 K((T(x,y) \ z) / u,R(x,w,v5)) = R(x,w,v5) \ R(x * K(x \ (z / u),x),w,v5). [para(8525(a,1),4741(a,1,2,1,2)),flip(a)]. 8537 K(x,((y / z) * (z * x)) \ (y * (z * x))) = K(x,z). [hyper(189,a,7162,a(flip),b,8510,a(flip)),flip(a)]. 8538 K(((x \ 1) \ y) / y,((z / y) * ((x \ 1) \ T(y,x))) \ (z * (y * (((x \ 1) \ y) / y)))) = K(((x \ 1) \ y) / y,y). [para(3360(a,2),8537(a,1,2,1,2))]. 8539 T(x,y / ((x * z) * u)) = T(x,x \ (y / (z * u))). [hyper(4399,a,8534,a),flip(a)]. 8540 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = T(R(x,z,u),y / R(x,z,u)). [hyper(5484,a,8532,a)]. 8541 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = T(R(x,z,u),R(x,z,u) \ y). [hyper(189,a,3533,a(flip),b,8540,a)]. 8542 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = R(T(x,R(x,z,u) \ y),z,u). [hyper(189,a,45,a,b,8541,a)]. 8543 R(T(x,x \ ((y * (z * u)) / (z * u))),z,u) = R(T(x,R(x,z,u) \ y),z,u). [para(8539(a,1),8542(a,1,1))]. 8544 R(T(x,R(x,y,z) \ u),y,z) = R(T(x,x \ u),y,z). [para(18(a,1),8543(a,1,1,2,2)),flip(a)]. 8545 x / R(T(y,y \ x),z,u) = R(y,z,u) \ x. [para(8544(a,1),233(a,1,2))]. 8546 (R(x,y,z) * u) / (R(T(x,x \ w),y,z) * u) = K(R(x,y,z) \ w,R(x,y,z)). [para(8544(a,1),4613(a,1,2,1))]. 8548 x / R(y \ x,z,u) = R(x / y,z,u) \ x. [para(497(a,1),8545(a,1,2,1))]. 8550 (R(x / y,z,u) \ x) \ x = R(y \ x,z,u). [para(8548(a,1),69(a,1,1))]. 8551 R((x \ y) \ y,z,u) = (R(x,z,u) \ y) \ y. [para(67(a,1),8550(a,1,1,1,1)),flip(a)]. 8552 R(((x * K(y,x)) \ y) \ y,z,u) = (R(x,z,u) \ ((R(x,z,u) * y) / R(x,z,u))) \ y. [para(4742(a,1),8551(a,2,1))]. 8553 K(R(x,y,z) \ u,R(x,y,z)) = K(x \ u,R(x,y,z)). [hyper(189,a,4613,a(flip),b,8546,a(flip))]. 8554 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(8553(a,1),4336(a,1,1,2))]. 8555 K(x \ (R(x,y,z) / u),R(x,y,z)) != w | K(u \ 1,R(x,y,z)) = w. [para(8553(a,1),4517(a,1))]. 8556 K((T(x,y) \ z) / u,R(x,w,v5)) = K(x \ (z / u),R(x,w,v5)). [hyper(189,a,4741,a(flip),b,8536,a)]. 8557 K(x \ (T(y,z) \ R(y,u,w)),R(y,u,w)) = K(y \ (R(y,u,w) / x),R(y,u,w)). [hyper(189,a,7413,a(flip),b,8556,a(flip)),flip(a)]. 8559 K(x \ (T(y,z) \ R(y,u,w)),R(y,u,w)) = K(x \ 1,R(y,u,w)). [hyper(8555,a,8557,a(flip)),flip(a)]. 8560 K((T(x,y) \ z) \ 1,R(x,u,w)) = K(z \ R(x,u,w),R(x,u,w)). [hyper(7799,a,8559,a),flip(a)]. 8561 K(x \ R(y,z,u),R(y,z,u)) = K(x \ y,R(y,z,u)). [hyper(189,a,5569,a(flip),b,8560,a(flip))]. 8562 K(x \ R(y,z,u),T(R(y,z,u),w)) = K(T(x,w) \ y,R(y,z,u)). [hyper(189,a,8301,a(flip),b,8561,a(flip)),flip(a)]. 8563 K(x \ R(y,z,u),T(R(y,z,u),w)) = K(x \ y,R(T(y,w),z,u)). [hyper(189,a,8303,a(flip),b,8562,a)]. 8564 K(x \ R(y,z,u),R(T(y,w),z,u)) = K(x \ y,R(T(y,w),z,u)). [para(45(a,2),8563(a,1,2))]. 8565 K(x * R(y,z,u),R(T(y,w),z,u)) = K((x \ 1) \ y,R(T(y,w),z,u)). [hyper(189,a,7328,a(flip),b,8564,a(flip)),flip(a)]. 8566 K(x * R(y,z,u),R(T(y,w),z,u)) = K(x * y,R(T(y,w),z,u)). [hyper(189,a,7328,a(flip),b,8565,a)]. 8567 K(x * R(y,z,u),R(y,z,u)) = K(x * y,R(T(y,K(x,w)),z,u)). [hyper(189,a,6672,a(flip),b,8566,a(flip)),flip(a)]. 8568 K(x * R(y,z,u),R(y,z,u)) = K(x * y,R(y,z,u)). [para(1827(a,1),8567(a,2,2,1))]. 8569 T(R(x,y,z) * K(u * x,R(x,y,z)),u) = R(R(x,y,z),u,L(R(x,y,z),x \ 1,x)). [para(8568(a,1),5865(a,1,1,2))]. 8570 R(((x * K(y,x)) \ y) \ y,z,u) = (R(x,z,u) \ y) \ T(y,R(x,z,u)). [hyper(189,a,5017,a(flip),b,8552,a)]. 8571 (R(x,y,z) \ u) \ T(u,R(x,y,z)) = R((x \ u) \ T(u,x),y,z). [para(5015(a,1),8570(a,1,1)),flip(a)]. 8572 (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(8571(a,1),8323(a,1,2))]. 8573 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(4732(a,1),8554(a,1,1))]. 8574 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(5484,a,8573,a)]. 8575 L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = R(L(x,x \ u,x),y,z). [para(4336(a,1),8574(a,1,1)),flip(a)]. 8576 L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = L(R(x,y,z),x \ u,x). [hyper(189,a,47,a(flip),b,8575,a)]. 8577 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(8576(a,1),1710(a,1,1,1)),flip(a)]. 8578 T(R(x * K(y * x,x),z,u),y) = R(R(x,z,u),y,L(R(x,z,u),x \ 1,x)). [para(4732(a,1),8569(a,1,1))]. 8579 T(R(x * K(x * y,x),z,u),y) = R(R(x,z,u),y,L(R(x,z,u),x \ 1,x)). [para(4617(a,1),8578(a,1,1,1,2))]. 8580 R(T(x * K(x * y,x),y),z,u) = R(R(x,z,u),y,L(R(x,z,u),x \ 1,x)). [hyper(5484,a,8579,a)]. 8581 R(R(x,y,z),u,L(R(x,y,z),x \ 1,x)) = R(R(x,u,x),y,z). [para(4626(a,1),8580(a,1,1)),flip(a)]. 8582 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(3762(a,1),8572(a,1,2,1)),flip(a)]. 8583 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(189,a,1710,a(flip),b,8577,a)]. 8584 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(45(a,2),8583(a,2,3))]. 8585 K(((x \ 1) \ y) / y,((z / y) * ((x \ 1) \ T(y,x))) \ (z * ((x \ 1) \ y))) = K(((x \ 1) \ y) / y,y). [hyper(189,a,8059,a(flip),b,8538,a(flip)),flip(a)]. 8586 K((x \ 1) \ 1,((y / z) * ((x \ 1) \ T(z,x))) \ (y * ((x \ 1) \ z))) = K(((x \ 1) \ z) / z,z). [hyper(189,a,4767,a(flip),b,8585,a(flip)),flip(a)]. 8587 K((x \ 1) \ 1,((y / z) * T(z,x)) \ ((x \ 1) * (y * ((x \ 1) \ z)))) = K(((x \ 1) \ z) / z,z). [hyper(8486,a,8586,a)]. 8589 K((x \ 1) \ 1,(y * K(z,x)) \ ((x \ 1) * (y * ((x \ 1) \ z)))) = K(((x \ 1) \ z) / z,z). [para(5140(a,1),8587(a,1,2,1))]. 8590 K(((x \ 1) \ y) / y,y) = K(x,(z * K(y,x)) \ ((x \ 1) * (z * ((x \ 1) \ y)))). [hyper(2659,a,8589,a),flip(a)]. 8591 K(((x \ 1) \ y) / y,y) = K(x,(z * K(y,x)) \ (x \ (z * ((x \ 1) \ y)))). [hyper(189,a,8060,a(flip),b,8590,a)]. 8592 K(((x \ 1) \ y) / y,y) = K(x,z \ (x \ (z * ((x \ 1) \ y)))). [hyper(189,a,6422,a(flip),b,8591,a)]. 8594 K(((x \ 1) \ y) / y,y) = K(x,L(y,x,z)). [hyper(189,a,7490,a(flip),b,8592,a)]. 8595 K(x,L(y,x,z)) = K(x,y). [hyper(4771,a,8594,a),flip(a)]. 8597 K(x,L(y,x,z)) != u | K(x,y) = u. [para(8594(a,1),4771(a,1))]. 8598 T(x,L(y,x,z)) = x * K(x,y). [para(8595(a,1),4396(a,2,2))]. 8601 T(x,L(y,x,z)) = T(x,y). [hyper(189,a,4396,a,b,8598,a)]. 8604 T(x,y \ (x \ (y * z))) = T(x,x \ z). [hyper(189,a,6552,a(flip),b,8601,a(flip)),flip(a)]. 8605 L(x,y,z) * T(y,x) = y * L(x,y,z). [para(8601(a,1),113(a,1,2))]. 8607 T(L(x,y,z),(z * (y * x)) \ ((z * y) * u)) = T(L(x,y,z),L(x,y,z) \ u). [para(368(a,1),8601(a,1,2))]. 8608 L(K(x,y),z * x,u) != w | K(L(x,z,u),y) = w. [para(6770(a,1),8597(a,1))]. 8609 K(x,y \ (x \ z)) != u | K(x,x \ (y \ z)) = u. [para(7201(a,1),8597(a,1))]. 8612 ((x * T(y,x)) * L(x,y,z)) \ (x * (y * L(x,y,z))) = K(L(x,y,z),x * T(y,x)). [para(8605(a,1),965(a,1,2,2))]. 8615 T(L(x,y,z),(z * (y * x)) \ ((z * y) * u)) = L(T(x,L(x,y,z) \ u),y,z). [hyper(189,a,43,a,b,8607,a)]. 8616 L(T(x,(y * (z * x)) \ ((y * z) * u)),z,y) = L(T(x,L(x,z,y) \ u),z,y). [hyper(189,a,43,a,b,8615,a(flip)),flip(a)]. 8617 ((x * y) * L(y,x,z)) \ (y * (x * L(y,x,z))) = K(L(y,x,z),y * T(x,y)). [para(113(a,1),8612(a,1,1,1))]. 8618 K(L(x,y,z),x * T(y,x)) = K(x,y * L(x,y,z)). [hyper(1256,a,8617,a),flip(a)]. 8619 K(L(x,y,z),y * x) = K(x,y * L(x,y,z)). [para(113(a,1),8618(a,1,2))]. 8620 K(x,y * L(x,y,z)) = K(x,x * y). [hyper(5547,a,8619,a),flip(a)]. 8622 L(K(x,x * y),z * x,u) = K(L(x,z,u),y * L(x,y,w)). [para(8620(a,1),5541(a,1,1))]. 8623 K(L(x,y,z),u * L(x,u,w)) = K(L(x,y,z),x * u). [hyper(8608,a,8622,a),flip(a)]. 8624 L(K(L(x,y,z),x * y),y,z) = K(x,x * y). [para(8623(a,1),7092(a,1,1))]. 8625 L(K(x,x * y),y,z) = K(x,x * y). [para(6617(a,1),8624(a,1,1))]. 8627 (x * (y \ T(z * y,y))) \ (x * T(z,y)) = K(y,y * z). [hyper(189,a,7135,a,b,8625,a(flip)),flip(a)]. 8628 K(x,y \ (z * x)) = K(x,x * (y \ z)). [hyper(189,a,7683,a(flip),b,8625,a(flip)),flip(a)]. 8629 1 / L(K(x,x * y),y,z) = K(x * y,x). [para(8625(a,2),3875(a,1,2))]. 8631 K(x,(y \ z) \ x) = K(x,x * (z \ y)). [hyper(5927,a,8628,a)]. 8633 K(x,y \ (x * z)) = K(x,x * (y \ z)). [hyper(189,a,7617,a(flip),b,8628,a(flip)),flip(a)]. 8634 K(x,x * (y \ (x \ z))) = K(x,y \ z). [hyper(189,a,7616,a(flip),b,8628,a(flip))]. 8635 L(K(x,x * (y \ z)),u * x,w) = K(L(x,u,w),y \ (z * x)). [para(8628(a,1),5541(a,1,1))]. 8636 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(189,a,7696,a(flip),b,8633,a(flip)),flip(a)]. 8637 L(K(x,x * (y \ (z \ u))),z \ u,z) = K(x,(z * (x \ y)) \ u). [para(8633(a,1),6240(a,1,1))]. 8638 L(K(x * y,x),y,z) = K(x * y,x). [hyper(5894,a,8629,a)]. 8639 1 / ((x * (y \ T(y * z,y))) \ (x * z)) = K(y * z,y). [para(5923(a,2),8629(a,1,2))]. 8640 K(x * ((y * z) \ y),x) = K(z \ x,x). [hyper(189,a,7698,a(flip),b,8638,a(flip))]. 8642 K((x \ y) \ z,z) = K(z * (y \ x),z). [para(17(a,1),8640(a,1,1,2,1)),flip(a)]. 8643 K(x * L(y \ 1,y,z),x) = K(y \ x,x). [para(140(a,2),8640(a,1,1,2))]. 8644 K(x * ((y * (z * u)) \ (y * z)),x) = K(L(u,z,y) \ x,x). [para(102(a,1),8640(a,1,1,2,1))]. 8645 K((x / y) \ z,z) = K(z * (y / x),z). [para(8452(a,1),8640(a,1,1,2)),flip(a)]. 8646 K(x \ (y * z),z) = K(z * (x \ y),z). [hyper(189,a,5535,a(flip),b,8642,a(flip)),flip(a)]. 8647 K((x \ y) \ z,x) = K(x * (y \ z),x). [hyper(6988,a,8646,a)]. 8648 L(x * K(x * (y \ z),x),u,w) / L(x,u,w) = K(y \ (z * x),L(x,u,w)). [para(8646(a,1),4737(a,1,1,1,2))]. 8649 L(K(x * (y \ (z \ u)),x),z \ u,z) = K((z * (x \ y)) \ u,x). [para(8647(a,1),5528(a,1,1))]. 8651 L(K(x \ ((y \ 1) \ x),(x \ ((y \ 1) \ x)) * T(x,y)),T(x,y),z) = K(y,y * x). [hyper(189,a,8274,a,b,8627,a(flip)),flip(a)]. 8652 T(K(x * y,T(x,z)),z) = 1 / ((u * (x \ T(x * y,x))) \ (u * y)). [hyper(189,a,6023,a,b,8639,a),flip(a)]. 8653 K(L(x,y,z),u \ (w * x)) = K(L(x,y,z),x * (u \ w)). [hyper(8608,a,8635,a),flip(a)]. 8654 K(L(x,y,z),u \ (x * w)) = K(L(x,y,z),x * (u \ w)). [hyper(7058,a,8653,a)]. 8655 K(L(x,y,z),x * (u \ L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). [hyper(189,a,7703,a(flip),b,8654,a(flip))]. 8656 T(K(x,K(y,z)) * K(y * z,y),x) = 1 / ((u * (y \ T(y * z,y))) \ (u * z)). [para(5996(a,2),8652(a,1,1))]. 8657 K(x \ (y * z),L(z,u,w)) = K(z * (x \ y),L(z,u,w)). [hyper(4883,a,8648,a),flip(a)]. 8658 K((x \ y) \ z,L(z,u,w)) = K(z * (y \ x),L(z,u,w)). [hyper(189,a,5920,a,b,8657,a(flip)),flip(a)]. 8659 1 / ((x * (y \ T(y * z,y))) \ (x * z)) = K(u,K(y,z)) * K(y * z,T(y,u)). [hyper(6349,a,8656,a),flip(a)]. 8660 L(K(x * y,T(y,z)),x,z) = K(y * x,T(y,z)). [hyper(8287,a,8659,a)]. 8661 K((x / (x * y)) \ z,z) = K(z * y,T(z,x)). [hyper(189,a,7733,a(flip),b,8660,a(flip)),flip(a)]. 8663 K(x * ((y * z) / y),x) = K(x * z,T(x,y)). [hyper(189,a,8645,a(flip),b,8661,a(flip)),flip(a)]. 8664 K(x * (y \ z),T(x,y)) = K(x * (z / y),x). [para(17(a,1),8663(a,1,1,2,1)),flip(a)]. 8665 K(x * (y \ z),T(x,z)) = K(x * (z / y),x). [hyper(189,a,7585,a,b,8664,a(flip)),flip(a)]. 8666 K(x * (y / z),x) * K(x,T(z \ y,y)) = a(x,z \ y,x). [para(8665(a,1),8029(a,1,1))]. 8667 K(x * (y / z),x) * K(x,y / z) = a(x,z \ y,x). [para(6060(a,1),8666(a,1,2))]. 8668 a(x,y / z,x) = a(x,z \ y,x). [hyper(7954,a,8667,a)]. 8670 L(K(x \ ((y \ 1) \ x),(x \ ((y \ 1) \ x)) * T(x,y)),T(x,y),z) = K(y,x * y). [hyper(189,a,4576,a,b,8651,a)]. 8671 L(K(x \ ((y \ 1) \ x),(y \ 1) \ x),T(x,y),z) = K(y,x * y). [para(3755(a,1),8670(a,1,1,2))]. 8672 L(K((x \ 1) \ 1,(x \ 1) \ y),T(y,x),z) = K(x,y * x). [para(4262(a,1),8671(a,1,1))]. 8673 L(K(x,(x \ 1) \ y),T(y,x),z) = K(x,y * x). [para(2648(a,1),8672(a,1,1))]. 8674 L(K(x,x * y),T(y,x),z) = K(x,y * x). [para(6142(a,1),8673(a,1,1))]. 8675 L(K(x,y * x),T(y,x),z) = K(x,y * x). [para(4576(a,2),8674(a,1,1))]. 8676 L(K(x,y * x),y,z) = K(x,y * x). [hyper(189,a,6612,a(flip),b,8675,a(flip)),flip(a)]. 8677 L(K(x * y,y),x,z) = 1 / K(y,x * y). [para(8676(a,1),5892(a,1,2)),flip(a)]. 8678 L(K(x * y,y),x,z) = K(x * y,y). [hyper(189,a,3875,a(flip),b,8677,a)]. 8679 L(K(x * L(y,z,u),x),L(y,z,u),u * z) = L(K(y * x,x),z * y,u). [para(8678(a,1),5856(a,1,1)),flip(a)]. 8680 L(K(x * y,y),z * x,u) = K(y * L(x,z,u),y). [hyper(189,a,8638,a(flip),b,8679,a(flip))]. 8683 L(K((x \ (y \ z)) * u,u),x * (x \ (y \ z)),y) = K(u * ((y * x) \ z),u). [para(183(a,1),8680(a,2,1,2))]. 8684 L(K(L(x \ 1,x,y) * z,z),(y * x) * L(x \ 1,x,y),u) = K(z * ((u * (y * x)) \ (u * y)),z). [para(309(a,1),8680(a,2,1,2))]. 8685 L(K(x * (y \ (z \ u)),x),y * (y \ (z \ u)),z) = K(x * ((z * y) \ u),x). [para(4617(a,1),8683(a,1,1))]. 8686 L(K(x * (y \ (z \ u)),x),z \ u,z) = K(x * ((z * y) \ u),x). [para(17(a,1),8685(a,1,2))]. 8687 K((x * (y \ z)) \ u,y) = K(y * ((x * z) \ u),y). [hyper(189,a,8649,a(flip),b,8686,a(flip)),flip(a)]. 8689 K(x * ((y * (x * z)) \ u),x) = K((y * z) \ u,x). [para(16(a,1),8687(a,1,1,1,2)),flip(a)]. 8690 L(x * K(x * ((y * z) \ u),x),w,v5) \ L(x,w,v5) = K(L(x,w,v5),(y * (x \ z)) \ u). [para(8687(a,1),4738(a,1,1,1,2))]. 8691 K(L(x,y,z),(u * (x \ w)) \ v5) = K(L(x,y,z),x * ((u * w) \ v5)). [hyper(4884,a,8690,a),flip(a)]. 8693 L(K(x * L(y \ 1,y,z),x),(z * y) * L(y \ 1,y,z),u) = K(x * ((u * (z * y)) \ (u * z)),x). [para(4617(a,1),8684(a,1,1))]. 8694 L(K(x \ y,y),(z * x) * L(x \ 1,x,z),u) = K(y * ((u * (z * x)) \ (u * z)),y). [para(8643(a,1),8693(a,1,1))]. 8695 K(x * ((y * (z * u)) \ (y * z)),x) = L(K(u \ x,x),z,y). [para(278(a,1),8694(a,1,2)),flip(a)]. 8697 L(K(x \ y,y),z,u) = K(L(x,z,u) \ y,y). [hyper(189,a,8644,a(flip),b,8695,a(flip))]. 8698 K(L(x,y,z) \ u,u) \ 1 = L(K(u,x \ u),y,z). [para(8697(a,1),5890(a,1,1))]. 8699 L(K(x,y \ x),z,u) = K(x,L(y,z,u) \ x). [hyper(3872,a,8698,a),flip(a)]. 8700 L(K(x,x * (y \ z)),u,w) = K(x,L(z \ y,u,w) \ x). [para(8631(a,1),8699(a,1,1))]. 8701 K(x,L((y \ z) \ u,y \ z,y) \ x) = K(x,(y * (x \ u)) \ z). [hyper(189,a,8637,a(flip),b,8700,a(flip))]. 8702 K(x,(y \ (z * u)) \ x) = K(x,(z * (x \ u)) \ y). [para(359(a,1),8701(a,1,2,1))]. 8703 K(x,(y * (x \ z)) \ u) = K(x,x * ((y * z) \ u)). [hyper(189,a,8631,a(flip),b,8702,a(flip))]. 8705 K(x,(y * (z / x)) \ u) = K(x,x * ((y * z) \ u)). [hyper(6431,a,8703,a)]. 8706 K(x,(y * (x \ z)) \ (x \ u)) = K(x,(y * z) \ u). [hyper(189,a,8634,a(flip),b,8703,a)]. 8707 K(x,x * ((y * (x * z)) \ u)) = K(x,(y * z) \ u). [para(16(a,1),8703(a,1,2,1,2)),flip(a)]. 8708 K(x,x \ ((y * (x \ z)) \ u)) = K(x,(y * z) \ u). [hyper(8609,a,8706,a)]. 8709 K(x,(y * (x * z)) \ u) = K(x,(y * z) \ (x \ u)). [para(16(a,1),8706(a,1,2,1,2)),flip(a)]. 8710 ((x * (y * z)) \ u) \ T(y * ((x * (y * z)) \ u),K(w,y)) = T(y,(x * (y * z)) \ u) * K(w,K(y,(x * z) \ u)). [para(8707(a,1),7390(a,1,2,2)),flip(a)]. 8711 K(x,(y * z) \ u) * T(x * K(((y * (x * z)) \ u) * x,x),(y * (x * z)) \ u) = T(x,T((y * (x * z)) \ u,x)). [para(8707(a,1),7408(a,1,1))]. 8712 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(5073(a,1),8708(a,1,2,2,1,2))]. 8713 K(L(x,y,z),x \ ((u * (x \ w)) \ v5)) = L(K(x,(u * w) \ v5),y * x,z). [para(8708(a,1),5541(a,1,1)),flip(a)]. 8714 K(L(x,y,z),x \ ((u * (x \ w)) \ v5)) != v6 | K(L(x,y,z),(u * w) \ v5) = v6. [para(8713(a,2),8608(a,1))]. 8715 ((x * (y * z)) \ u) \ T(y * ((x * (y * z)) \ u),K(w,y)) = K(y,(x * (y * z)) \ u) * T(y,K(w,(x * z) \ u)). [hyper(189,a,5975,a,b,8710,a)]. 8716 K(x,(y * z) \ u) * T(x * K(x * ((y * (x * z)) \ u),x),(y * (x * z)) \ u) = T(x,T((y * (x * z)) \ u,x)). [para(4617(a,1),8711(a,1,2,1,2))]. 8717 ((x * (y * z)) \ u) \ T(y * ((x * (y * z)) \ u),K(w,y)) = K(y,(x * z) \ (y \ u)) * T(y,K(w,(x * z) \ u)). [para(8709(a,1),8715(a,2,1))]. 8718 K(x,(y * z) \ u) * T(x * K((y * z) \ u,x),(y * (x * z)) \ u) = T(x,T((y * (x * z)) \ u,x)). [para(8689(a,1),8716(a,1,2,1,2))]. 8719 T(x,T((y * (x * z)) \ u,(y * z) \ u)) = T(x,T((y * (x * z)) \ u,x)). [hyper(6378,a,8718,a)]. 8720 T(x,T((y * (x * z)) \ u,(y * z) \ u)) != w | T(x,(y * (x * z)) \ u) = w. [para(8719(a,2),3594(a,1))]. 8721 ((x * (y * z)) \ u) \ T(y * ((x * (y * z)) \ u),K(w,y)) = T(y,T((x * z) \ (y \ u),w)). [hyper(189,a,7661,a(flip),b,8717,a)]. 8722 ((x * (y * z)) \ u) \ T(y * ((x * (y * z)) \ u),K(y,w)) = T(y,T((x * z) \ (y \ u),w)). [para(6118(a,1),8721(a,1,2))]. 8723 T(x,T((y * (x * z)) \ u,w)) = T(x,T((y * z) \ (x \ u),w)). [hyper(7221,a,8722,a)]. 8724 T(x,T((y * z) \ (x \ u),(y * z) \ u)) = T(x,(y * (x * z)) \ u). [hyper(8720,a,8723,a),flip(a)]. 8725 T(x,(y * (x * z)) \ u) = T(x,(y * z) \ (x \ u)). [hyper(189,a,7605,a(flip),b,8724,a(flip))]. 8726 T(x,(y * (z * x)) \ u) = T(x,(y * z) \ (x \ u)). [hyper(189,a,6842,a,b,8725,a(flip)),flip(a)]. 8727 L(T(x,(y * z) \ (x \ ((y * z) * u))),z,y) = L(T(x,L(x,z,y) \ u),z,y). [para(8726(a,1),8616(a,1,1))]. 8728 L(T(x,L(x,y,z) \ u),y,z) = L(T(x,x \ u),y,z). [para(8604(a,1),8727(a,1,1)),flip(a)]. 8729 (L(x,y,z) \ u) / (L(T(x,x \ w),y,z) \ u) = K(L(x,y,z),L(x,y,z) \ w). [para(8728(a,1),4610(a,1,2,1))]. 8731 K(L(x,y,z),L(x,y,z) \ u) = K(L(x,y,z),x \ u). [hyper(189,a,4610,a(flip),b,8729,a(flip))]. 8732 K(L(x,y,z),x \ ((u * (x \ (1 / L(x,y,z)))) \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). [hyper(189,a,8712,a(flip),b,8731,a(flip))]. 8733 K(L(x,y,z),(u * (1 / L(x,y,z))) \ w) = K(L(x,y,z),(u * (1 / x)) \ w). [hyper(8714,a,8732,a)]. 8734 K(L(x,y,z),L(x,y,z) * ((u * 1) \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). [hyper(189,a,8705,a(flip),b,8733,a(flip)),flip(a)]. 8735 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). [para(15(a,1),8734(a,1,2,2,1))]. 8736 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),(u * (x \ 1)) \ w). [hyper(189,a,7448,a(flip),b,8735,a)]. 8737 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),x * ((u * 1) \ w)). [hyper(189,a,8691,a(flip),b,8736,a)]. 8738 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),x * (u \ w)). [para(15(a,1),8737(a,2,2,2,1))]. 8739 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(189,a,8636,a,b,8738,a(flip)),flip(a)]. 8740 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(189,a,8655,a(flip),b,8739,a)]. 8742 K(L(x,y,z),u \ L(x,y,z)) = K(L(x,y,z),u \ x). [para(2794(a,1),8740(a,1,2))]. 8743 K(x \ L(y,z,u),L(y,z,u)) = (w * K(L(y,z,u),x \ y)) \ w. [para(8742(a,1),3918(a,1,1,2)),flip(a)]. 8744 K(x \ L(y,z,u),L(y,z,u)) = K(x \ y,L(y,z,u)). [hyper(189,a,3918,a(flip),b,8743,a)]. 8745 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(8744(a,1),5445(a,1,1,2))]. 8746 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(8658(a,1),8745(a,1,1,2))]. 8747 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(58(a,1),8746(a,1,1,2,1,2))]. 8748 T(L(x * K(x * y,x),z,u),y) = y \ T(L(x,z,u) * y,L(x,z,u)). [para(4729(a,1),8747(a,1,1))]. 8749 L(T(x * K(x * y,x),y),z,u) = y \ T(L(x,z,u) * y,L(x,z,u)). [hyper(189,a,43,a,b,8748,a(flip)),flip(a)]. 8750 x \ T(L(y,z,u) * x,L(y,z,u)) = L(R(y,x,y),z,u). [para(4626(a,1),8749(a,1,1)),flip(a)]. 8751 R(L(x,y,z),u,L(x,y,z)) = L(R(x,u,x),y,z). [hyper(3672,a,8750,a)]. 8752 (x * y) * L(R(z,u,z),y,x) = x * (y * R(z,u,L(z,y,x))). [para(8751(a,1),351(a,1,2))]. 8753 x * R(y,z,L(y,x,u)) = x * R(y,z,y). [hyper(340,a,8752,a),flip(a)]. 8754 R(x,y,L(x,z,u)) = R(x,y,x). [hyper(260,a,8753,a),flip(a)]. 8758 R(R(x,y,z),u,R(x,y,z)) = R(R(x,u,x),y,z). [hyper(189,a,8581,a(flip),b,8754,a(flip))]. 8760 (x / y) * R(y,z,y) = x * a(y,z,L(y,u,w)). [para(8754(a,1),8025(a,1,2))]. 8762 (R(x,y,R(x,z,u)) * z) * u = R(R(x,y,x),z,u) * (z * u). [para(8758(a,1),382(a,1,1)),flip(a)]. 8763 a(x,y,L(x,z,u)) = a(x,y,x). [hyper(8329,a,8760,a),flip(a)]. 8765 (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(8758(a,1),8760(a,1,2))]. 8766 (R(x,y,R(x,z,u)) * z) * u = (R(x,y,x) * z) * u. [hyper(189,a,110,a(flip),b,8762,a)]. 8767 (R(T(x,y),z,T(x,y)) * u) * w = (R(T(x,y),z,R(x,u,w)) * u) * w. [para(7411(a,1),8766(a,1,1,1)),flip(a)]. 8768 (x * (K(y,z) * K(u,y))) / T((K(z,y) * (K(y,u) * x)) * (K(y,z) * K(u,y)),K(y,u) * K(z,y)) = T(K(y,z) * K(u,y),(K(y,z) * K(u,y)) \ x). [para(8169(a,1),8178(a,1,2,1,1))]. 8769 (x * (K(y,z) * K(u,y))) / T(T((K(y,u) * x) * K(u,y),K(y,z)),K(y,u) * K(z,y)) = T(K(y,z) * K(u,y),(K(y,z) * K(u,y)) \ x). [para(7761(a,1),8768(a,1,2,1))]. 8770 (x * (K(y,z) * K(u,y))) / T(T(T(x,K(y,u)),K(y,z)),K(y,u) * K(z,y)) = T(K(y,z) * K(u,y),(K(y,z) * K(u,y)) \ x). [para(6115(a,1),8769(a,1,2,1,1))]. 8771 (x * (K(y,z) * K(u,y))) / T(T(x,K(y,z) * K(u,y)),K(y,u) * K(z,y)) = T(K(y,z) * K(u,y),(K(y,z) * K(u,y)) \ x). [para(8164(a,1),8770(a,1,2,1))]. 8772 T(K(x,y) * K(z,x),(K(x,y) * K(z,x)) \ u) = (u * (K(x,y) * K(z,x))) / u. [para(8205(a,1),8771(a,1,2)),flip(a)]. 8773 T(K(x,y) * K(z,x),(K(x,y) * K(z,x)) \ u) = T(K(x,y) * K(z,x),u). [hyper(189,a,8212,a(flip),b,8772,a)]. 8774 T(K(x,y) * K(z,x),K(y,x) * (K(x,z) * u)) = T(K(x,y) * K(z,x),u). [para(8169(a,1),8773(a,1,2))]. 8775 T(K(x,y) * K(z,x),K(x,z) * u) = T(K(x,y) * K(z,x),u). [hyper(189,a,8370,a(flip),b,8774,a(flip)),flip(a)]. 8776 (K(x,y) * z) \ (K(x,u) * z) = T(K(x,u) * K(y,x),z). [hyper(189,a,8181,a(flip),b,8775,a(flip)),flip(a)]. 8777 K(x,T(y,z)) * K(u,T(x,z)) = T(K(x,y) * K(u,x),z). [hyper(189,a,6736,a(flip),b,8776,a(flip)),flip(a)]. 8778 K(x,T(y,z)) * (K(u,T(x,z)) * w) = T(K(x,y) * K(u,x),z) * w. [para(8777(a,1),8168(a,1,1)),flip(a)]. 8779 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(189,a,7741,a(flip),b,8778,a(flip))]. 8780 R(T(x,y),z,R(x,u,w)) * (T(x,y) \ v5) = a(x,z,R(x,u,w)) * v5. [para(8184(a,1),8779(a,1,1)),flip(a)]. 8782 R(T(x,y) * K(y * L(x,z,u),T(x,y)),w,v5) * (((x * y) * L(x,z,u)) / T(x,y)) = (((x * y) * L(x,z,u)) / T(x,y)) * R(T(x,y),w,v5). [para(3876(a,1),4948(a,1,1,1,2))]. 8783 R(R(x,y,L(x,z,u)),w,v5) * (((x * y) * L(x,z,u)) / T(x,y)) = (((x * y) * L(x,z,u)) / T(x,y)) * R(T(x,y),w,v5). [para(5048(a,1),8782(a,1,1,1))]. 8784 R(R(x,y,L(x,z,u)),w,v5) * (y * L(x,z,u)) = (((x * y) * L(x,z,u)) / T(x,y)) * R(T(x,y),w,v5). [para(1271(a,1),8783(a,1,2))]. 8785 (((x * y) * L(x,z,u)) / T(x,y)) * R(T(x,y),w,v5) = (R(x,w,v5) * y) * L(x,z,u). [hyper(639,a,8784,a),flip(a)]. 8786 (x * L(y,z,u)) * R(T(y,x),w,v5) = (R(y,w,v5) * x) * L(y,z,u). [para(1271(a,1),8785(a,1,1))]. 8787 (x * L(y,z,u)) * a(T(y,y \ x),w,T(y,y \ x)) = (R(y,w,y) * (y \ x)) * L(y,z,u). [hyper(189,a,8355,a,b,8786,a(flip)),flip(a)]. 8788 (x * L(y,z,u)) * a(T(y,y \ x),w,T(y,y \ x)) = (x * a(y,w,y)) * L(y,z,u). [para(8322(a,1),8787(a,2,1))]. 8789 (x * L(y,z,u)) * a(T(y,y \ x),w,T(y,y \ x)) = x * (a(y,w,y) * L(y,z,u)). [hyper(189,a,8354,a(flip),b,8788,a)]. 8790 (x * L(y,z,u)) * a(y,w,y) = x * (a(y,w,y) * L(y,z,u)). [para(8003(a,1),8789(a,1,2))]. 8791 (x * (a(y,z,y) * L(y,u,w))) \ ((x * (a(y,z,y) * L(y,u,w))) * a(y,z,y)) = L(a(y,z,y),L(y,u,w),x). [para(8790(a,1),7739(a,1,1))]. 8793 L(a(x,y,x),L(x,z,u),w) != v5 | a(x,y,x) = v5. [para(8791(a,1),237(a,1)),flip(b)]. 8794 ((((x \ L(x,y,z)) * u) / (((L(x,y,z) \ x) * (x \ L(x,y,z))) * u)) \ 1) \ 1 = K(x \ L(x,y,z),L(x,y,z) \ x) * (((x \ L(x,y,z)) * u) / (1 * u)). [para(2619(a,1),8231(a,2,1))]. 8795 ((((x \ L(x,y,z)) * u) / (((L(x,y,z) \ x) * (x \ L(x,y,z))) * u)) \ 1) \ 1 = K(x \ L(x,y,z),a(z,y,x)) * (((x \ L(x,y,z)) * u) / (1 * u)). [para(5621(a,1),8794(a,2,1))]. 8796 ((((x \ L(x,y,z)) * u) / (((L(x,y,z) \ x) * (x \ L(x,y,z))) * u)) \ 1) \ 1 = K(x \ L(x,y,z),a(z,y,x)) * (((x \ L(x,y,z)) * u) / u). [para(14(a,1),8795(a,2,2,2))]. 8797 ((((x \ L(x,y,z)) * u) / (((L(x,y,z) \ x) * (x \ L(x,y,z))) * u)) \ 1) \ 1 = K(x \ L(x,y,z),a(z,y,x)) * (x \ L(x,y,z)). [para(18(a,1),8796(a,2,2))]. 8798 ((((x \ L(x,y,z)) * u) / (((L(x,y,z) \ x) * (x \ L(x,y,z))) * u)) \ 1) \ 1 = T(x \ L(x,y,z),a(z,y,x)). [hyper(189,a,4403,a,b,8797,a)]. 8800 T(x \ L(x,y,z),a(z,y,x)) = ((((x \ L(x,y,z)) * u) / (1 * u)) \ 1) \ 1. [para(8229(a,1),8798(a,1,1,1,2,1)),flip(a)]. 8801 T(x \ L(x,y,z),a(z,y,x)) = ((((x \ L(x,y,z)) * u) / u) \ 1) \ 1. [para(14(a,1),8800(a,2,1,1,2))]. 8803 T(x \ L(x,y,z),a(z,y,x)) = ((x \ L(x,y,z)) \ 1) \ 1. [para(18(a,1),8801(a,2,1,1))]. 8804 (L(x,y,z) \ x) * (((x \ L(x,y,z)) \ 1) \ 1) = K(x \ L(x,y,z),a(z,y,x)). [para(8803(a,1),8230(a,1,2))]. 8805 (x \ L(x,y,z)) * (L(x,y,z) \ x) = K(x \ L(x,y,z),a(z,y,x)). [hyper(1997,a,8804,a)]. 8806 K(x \ L(x,y,z),a(z,y,x)) = 1. [hyper(7869,a,8805,a),flip(a)]. 8807 x * K(y \ L(y,z,u),a(u,z,y)) = x. [para(8806(a,2),15(a,1,2))]. 8808 K(a(x,y,z),z \ L(z,y,x)) = 1. [hyper(3879,a,8807,a)]. 8809 1 / a(x,y,z) = a(x,y,z) \ 1. [para(8808(a,1),5018(a,1,2)),flip(a)]. 8810 (a(x,y,z) \ 1) \ 1 = a(x,y,z). [para(8809(a,1),69(a,1,1))]. 8811 (a(x,y,z) \ 1) \ 1 != u | a(x,y,z) = u. [para(8809(a,1),236(a,1,1)),flip(b)]. 8813 (a(x,y,R(x,z,u)) \ 1) \ 1 = a(R(x,z,u),y,x). [para(7911(a,1),8810(a,1,1))]. 8814 a(x,y,x) * K(z * x,a(x,y,x)) = R(a(x,y,x),x,z). [para(8810(a,1),8347(a,2,1))]. 8815 a(R(x,y,z),u,x) = a(x,u,R(x,y,z)). [hyper(8811,a,8813,a),flip(a)]. 8816 a(R(x,y,z),u,x) != w | a(x,u,R(x,y,z)) = w. [para(8813(a,1),8811(a,1))]. 8817 (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(189,a,6829,a,b,8815,a),flip(a)]. 8818 R(a(x,y,x),x,z) = a(x,y,x). [hyper(7992,a,8814,a),flip(a)]. 8819 ((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(189,a,379,a,b,8818,a(flip)),flip(a)]. 8820 (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(7950(a,1),8819(a,1,1,1))]. 8821 ((R(x,y,R(x,z,u)) * z) * u) / ((x * z) * u) = a(R(x,z,u),y,R(x,z,u)). [para(382(a,1),8820(a,1,1))]. 8822 ((R(x,y,x) * z) * u) / ((x * z) * u) = a(R(x,z,u),y,R(x,z,u)). [para(8766(a,1),8821(a,1,1))]. 8823 a(R(x,y,z),u,R(x,y,z)) != w | R(a(x,u,x),x * y,z) = w. [para(8822(a,1),8341(a,1))]. 8824 (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(5611(a,1),8817(a,1,1,2))]. 8825 (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(501(a,1),8824(a,1,1))]. 8826 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(160(a,1),8825(a,1,2)),flip(a)]. 8827 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(189,a,1710,a(flip),b,8826,a)]. 8828 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(45(a,2),8827(a,2,3))]. 8829 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(8816,a,8828,a)]. 8830 a(x,T(x,y) \ y,R(x,z,u)) = a(x,x \ y,R(T(x,y),z,u)). [hyper(189,a,7898,a(flip),b,8829,a(flip)),flip(a)]. 8832 a(x,x \ y,R(T(x,y),z,u)) = a(x,x \ y,R(x,z,u)). [hyper(189,a,7922,a(flip),b,8830,a(flip))]. 8834 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(189,a,8584,a,b,8832,a(flip)),flip(a)]. 8835 a(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = a(x,x \ u,R(x,y,z)). [hyper(7961,a,8834,a)]. 8836 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,y \ (w * y),R(y,z,u)). [para(8835(a,1),8582(a,1,2)),flip(a)]. 8837 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,T(w,y),R(y,z,u)). [para(35(a,2),8836(a,2,2,2))]. 8838 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,w,R(y,z,u)). [para(7921(a,1),8837(a,2,2))]. 8839 x * a(R(y,z,u),w,L(R(y,z,u),v5,v6)) = x * a(y,w,R(y,z,u)). [hyper(189,a,8765,a(flip),b,8838,a(flip)),flip(a)]. 8840 x * a(R(y,z,u),w,R(y,z,u)) = x * a(y,w,R(y,z,u)). [para(262(a,1),8839(a,1,2,3))]. 8841 a(R(x,y,z),u,R(x,y,z)) = a(x,u,R(x,y,z)). [hyper(7985,a,8840,a)]. 8842 R(a(x,y,x),x * z,u) = a(x,y,R(x,z,u)). [hyper(8823,a,8841,a)]. 8843 a(x,y,R(x,x \ z,u)) = R(a(x,y,x),z,u). [para(17(a,1),8842(a,1,2)),flip(a)]. 8844 R(x,y,R(x,x \ z,u)) = x * R(a(x,y,x),z,u). [para(8843(a,1),7885(a,1,2)),flip(a)]. 8845 R(T(x,y),z,R(x,x \ u,w)) = T(x,y) * R(a(x,z,x),u,w). [para(8843(a,1),7895(a,1,2)),flip(a)]. 8846 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(189,a,7411,a(flip),b,8844,a(flip))]. 8847 R(T(x,y),z,R(x,T(x,y) \ u,w)) = T(x,y) * R(a(x,z,x),u,w). [para(8003(a,1),8846(a,1,2,1)),flip(a)]. 8848 R(T(x,y),z,R(x,T(x,y) \ u,w)) = R(T(x,y),z,R(x,x \ u,w)). [hyper(189,a,8845,a,b,8847,a)]. 8850 (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(8848(a,1),8767(a,2,1,1))]. 8851 (R(T(x,y),z,T(x,y)) * (T(x,y) \ u)) * w = (a(x,z,R(x,x \ u,w)) * u) * w. [para(8780(a,1),8850(a,2,1))]. 8853 (R(T(x,y),z,T(x,y)) * (T(x,y) \ u)) * w = (R(a(x,z,x),u,w) * u) * w. [para(8843(a,1),8851(a,2,1,1))]. 8854 (R(T(x,y),z,x) * (T(x,y) \ u)) * w = (R(a(x,z,x),u,w) * u) * w. [para(6434(a,1),8853(a,1,1,1))]. 8856 (T(x,y) * (L(T(x,y),z,x) \ u)) * w = (R(a(x,z,x),u,w) * u) * w. [para(8344(a,1),8854(a,1,1))]. 8857 (R(a(x,y,x),z,u) * z) * u = (z * a(x,y,x)) * u. [para(7966(a,1),8856(a,1,1)),flip(a)]. 8858 ((a(x,y,x) * z) * u) \ ((z * a(x,y,x)) * u) = a(R(a(x,y,x),z,u),z,u). [para(8857(a,1),377(a,1,2))]. 8859 a(R(a(x,y,x),z,u),z,u) = K(z,T(a(x,y,x),u)). [hyper(189,a,8524,a(flip),b,8858,a(flip))]. 8860 a(R(a(x,y,x),z,u),z,u) = K(z,a(x,y,x)). [para(7983(a,1),8859(a,2,2))]. 8861 a(R(a(x,y,x),z,u),z,u) = 1. [hyper(189,a,7990,a(flip),b,8860,a)]. 8864 L(x,y,R(a(z,u,z),y,x)) = x. [hyper(36,a,8861,a)]. 8865 (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(8864(a,1),8439(a,1,2))]. 8866 (R(a(x,y,x),z,u) * (z * u)) / u = z * R(a(x,y,x),z,u). [para(8002(a,1),8865(a,1,1,2,1))]. 8867 x * R(a(y,z,y),x,u) = a(y,z,y) * x. [hyper(386,a,8866,a),flip(a)]. 8868 R(a(x,y,x),z,u) = a(x,y,x). [hyper(20,a,7980,a(flip),b,8867,a)]. 8870 a(x,y,R(x,z,u)) = a(x,y,x). [hyper(189,a,8842,a(flip),b,8868,a(flip)),flip(a)]. 8871 a(x,y * K(z,y),x) = L(a(x,y,x),y,z). [hyper(189,a,8037,a(flip),b,8868,a(flip))]. 8872 (a(x,y,x) * z) * u = a(x,y,x) * (z * u). [para(8868(a,1),110(a,1,1)),flip(a)]. 8874 L(x,y,a(z,u,z)) = x. [para(8868(a,1),8864(a,1,3))]. 8875 (x * (y * a(z,u,z))) \ (x * (a(z,u,z) * (y * w))) = L(w,a(z,u,z) * y,x). [para(8874(a,1),7988(a,2,1))]. 8878 L(x,y,R(x,z,u)) = a(x,y,x) \ x. [para(8870(a,1),7902(a,1,1)),flip(a)]. 8879 L(x,y,R(x,z,u)) = a(x,y,L(x,w,v5)) \ x. [para(8763(a,2),8878(a,2,1))]. 8882 L(a(x,L(y,z,u),x),L(y,z,u),w) = a(x,L(y * K(w,y),z,u),x). [para(4729(a,1),8871(a,1,2)),flip(a)]. 8883 (a(x,y,x) * (z * u)) \ ((a(x,y,x) * z) * (u * w)) = L(w,u,a(x,y,x) * z). [para(8872(a,1),31(a,2,1)),flip(a)]. 8884 (x * a(y,z,y)) * u = a(y,z,y) * (x * u). [para(7980(a,1),8872(a,1,1))]. 8885 L(x,y,R(x,z,u)) = L(x,y,L(x,w,v5)). [hyper(189,a,8021,a(flip),b,8879,a)]. 8887 L(x,y,L(x,z,u)) = L(x,y,x). [para(272(a,1),8885(a,1,3)),flip(a)]. 8888 L(L(x,y,z),u,L(x,w,v5)) = L(L(x,u,x),y,z). [para(8887(a,1),48(a,1,1)),flip(a)]. 8889 (x * a(y,z,y)) * u = (x * u) * a(y,z,y). [hyper(189,a,7980,a(flip),b,8884,a)]. 8892 (L(x,y,z) \ L(L(x,u,x),y,z)) \ w = w * a(L(x,y,z),u,L(x,y,z)). [para(8888(a,1),8000(a,1,1,2))]. 8893 (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) = a(u,L(z * K(x * y,z),y,x),u). [hyper(189,a,8039,a(flip),b,8882,a(flip)),flip(a)]. 8894 x * a(L(y,z,u),w,L(y,z,u)) = (a(y,w,L(y,z,u)) \ 1) \ x. [para(8272(a,1),8892(a,1,1)),flip(a)]. 8895 a(L(x,y,z),u,L(x,y,z)) = a(x,u,L(x,y,z)). [hyper(74,a,8810,a(flip),b,8894,a)]. 8896 L(x,y,z) * a(x,u,L(x,y,z)) = R(L(x,y,z),u,L(x,y,z)). [para(8895(a,1),7948(a,1,2))]. 8897 L(x,y,z) * a(x,u,L(x,y,z)) = L(R(x,u,x),y,z). [hyper(189,a,8751,a(flip),b,8896,a)]. 8898 L(x,y,z) * a(x,u,x) = L(R(x,u,x),y,z). [para(8763(a,1),8897(a,1,2))]. 8899 (x * (y * z)) \ ((x * y) * L(R(z,u,z),y,x)) = L(a(z,u,z),L(z,y,x),x * y). [para(8898(a,1),347(a,1,2,2))]. 8901 (a(x,y,x) * (z * u)) \ (a(x,y,x) * (z * (u * w))) = L(w,u,a(x,y,x) * z). [para(8872(a,1),8883(a,1,2))]. 8902 L(L(x,y,z),z * y,a(u,w,u)) = L(x,y,a(u,w,u) * z). [hyper(646,a,8901,a)]. 8903 L(x,y,a(z,u,z) * w) = L(x,y,w). [hyper(189,a,8874,a(flip),b,8902,a(flip))]. 8905 L(x,y,z * a(u,w,u)) = L(x,y,z). [para(7980(a,1),8903(a,1,3))]. 8906 (x * (y * z)) \ (x * (y * R(z,u,z))) = L(a(z,u,z),L(z,y,x),x * y). [para(102(a,1),8899(a,1,2))]. 8907 L(a(x,y,x),L(x,z,u),u * z) = L(a(x,y,x),z * x,u). [hyper(8338,a,8906,a),flip(a)]. 8908 L(a(x,y,x),z * x,u) = a(x,y,x). [hyper(8793,a,8907,a),flip(a)]. 8909 L(a(x,y,x),z,u) = a(x,y,x). [para(19(a,1),8908(a,1,2))]. 8912 L(a(x,y,x),z,u) = a(x,y,x) * 1. [hyper(189,a,15,a,b,8909,a)]. 8913 (x * y) * a(z,u,z) = x * (y * a(z,u,z)). [para(8909(a,1),102(a,1,2))]. 8914 L(a(x,y,x),z,u) != w | a(x,y,x) = w. [para(8912(a,2),85(a,1)),flip(b)]. 8916 (x * a(y,z,y)) * u = x * (u * a(y,z,y)). [hyper(21,a,8889,a(flip),b,8913,a)]. 8918 (x * a(y,z,y)) * u = x * (a(y,z,y) * u). [para(7980(a,2),8916(a,2,2))]. 8920 L(x,a(y,z,y),u) = x. [hyper(346,a,8918,a)]. 8924 (x * (y * a(z,u,z))) \ ((x * a(z,u,z)) * (y * w)) = L(w,L(y,a(z,u,z),x),x * a(z,u,z)). [para(8920(a,1),7989(a,1,2,2,1))]. 8925 (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) = a(u,(x * (y * z)) / (x * y),u). [para(4490(a,1),8893(a,2,2))]. 8926 L(L(a(x,y,x),y,z),z * y,u) = a(x,(u * (z * y)) / (u * z),x). [hyper(7957,a,8925,a)]. 8927 L(a(x,y,x),z * y,u) = a(x,(u * (z * y)) / (u * z),x). [para(8909(a,1),8926(a,1,1))]. 8928 L(a(x,y,x),z * y,u) = a(x,(u * z) \ (u * (z * y)),x). [hyper(189,a,8668,a(flip),b,8927,a)]. 8930 L(a(x,y,x),z * y,u) = a(x,L(y,z,u),x). [para(31(a,2),8928(a,2,2))]. 8931 a(x,L(y,z,u),x) = a(x,y,x). [hyper(8914,a,8930,a),flip(a)]. 8933 R(x,L(y,z,u),x) = x * a(x,y,x). [para(8931(a,1),7948(a,1,2)),flip(a)]. 8934 R(x,L(y,z,u),x) = R(x,y,x). [hyper(189,a,7948,a(flip),b,8933,a)]. 8935 R(x,(y \ z) \ u,x) = R(x,z \ (y * u),x). [para(359(a,1),8934(a,1,2)),flip(a)]. 8936 R(x \ y,y \ (x * x),x \ y) = ((y / x) \ x) \ x. [hyper(189,a,6907,a(flip),b,8935,a(flip))]. 8937 R(x \ y,y \ (x * x),x \ y) = (y \ x) \ 1. [hyper(189,a,4279,a(flip),b,8936,a)]. 8938 (x * (y * a(z,u,z))) \ (x * (a(z,u,z) * (y * w))) = L(w,L(y,a(z,u,z),x),x * a(z,u,z)). [para(8918(a,1),8924(a,1,2))]. 8939 L(x,L(y,a(z,u,z),w),w * a(z,u,z)) = L(x,a(z,u,z) * y,w). [hyper(189,a,8875,a(flip),b,8938,a(flip))]. 8940 L(x,a(y,z,y) * u,w) = L(x,u,w * a(y,z,y)). [para(8920(a,1),8939(a,1,2)),flip(a)]. 8941 L(x,a(y,z,y) * u,w) = L(x,u,w). [hyper(189,a,8905,a(flip),b,8940,a)]. 8943 L(x,R(y,z,y),u) = L(x,y,u). [para(7950(a,1),8941(a,1,2))]. 8946 L(x,(y \ z) \ 1,u) = L(x,z \ y,u). [para(8937(a,1),8943(a,1,2))]. 8947 L(x,(y * z) \ y,u) = L(x,z \ 1,u). [para(16(a,1),8946(a,1,2,1)),flip(a)]. 8948 L(x,L(y \ 1,y,z),u) = L(x,y \ 1,u). [para(140(a,2),8947(a,1,2))]. 8949 L(x,y \ 1,y * y) = x. [hyper(189,a,1916,a(flip),b,8948,a(flip))]. 8950 (x * (x * (x \ 1))) \ ((x * x) * y) = L((1 / x) \ y,x \ 1,x * x). [hyper(189,a,1891,a(flip),b,8948,a(flip)),flip(a)]. 8953 L((1 / x) \ y,x \ 1,x * x) = x \ ((x * x) * y). [para(62(a,1),8950(a,1,1)),flip(a)]. 8954 x \ ((x * x) * y) = (1 / x) \ y. [hyper(189,a,8949,a(flip),b,8953,a(flip))]. 8955 (1 / x) \ L(y,x,x) = x * y. [hyper(356,a,8954,a),flip(a)]. 8957 L(x,y,y \ 1) = L(x,y,y). [hyper(2389,a,8955,a),flip(a)]. 8958 (1 / x) * (x * y) = L(y,x,x). [para(8955(a,1),17(a,1,2))]. 8959 (x \ 1) \ (x \ y) = L(y,x,x). [hyper(7397,a,8957,a)]. 8960 T(x * y,x) / x = L(y,x,x). [hyper(4281,a,8957,a)]. 8961 T(T(x,y) * y,x) = x * L(y,x,x). [para(8958(a,1),4698(a,2,2))]. 8962 L((x \ 1) \ y,x \ 1,x * L(z,x,x)) = ((x * z) / x) \ (T(T(x,z) * z,x) * y). [para(8958(a,1),5834(a,1,3,2))]. 8963 (x * y) * (y \ 1) = L(x,y,y). [hyper(660,a,8959,a)]. 8964 x * a(y,x,y) = L(x,y,y). [hyper(189,a,7944,a(flip),b,8960,a(flip)),flip(a)]. 8965 a(x,y,x) * y = L(y,x,x). [hyper(7993,a,8964,a)]. 8966 L(x,L(y,z,z),u) = L(x,y,u). [para(8965(a,1),8941(a,1,2))]. 8967 L(x / y,y,y) = x * (y \ 1). [hyper(252,a,8963,a),flip(a)]. 8968 x * L(y,x,x) = (1 / x) \ y. [para(8963(a,1),852(a,1,2))]. 8971 L(x,y * (z \ 1),u) = L(x,y / z,u). [para(8967(a,1),8966(a,1,2))]. 8972 T(T(x,y) * y,x) = (1 / x) \ y. [hyper(189,a,8968,a(flip),b,8961,a)]. 8973 L(x,y * (z \ 1),z) = L(x,z \ y,z). [hyper(189,a,8433,a(flip),b,8971,a)]. 8975 ((x * y) / x) * L(z,x \ y,x) = x * ((y * (x \ 1)) * z). [para(8973(a,1),4274(a,1,2))]. 8976 ((x * y) / x) \ (T(T(x,y) * y,x) * z) = L((x \ 1) \ z,x \ 1,(1 / x) \ y). [para(8968(a,1),8962(a,1,3)),flip(a)]. 8977 L((x \ 1) \ y,x \ 1,(1 / x) \ z) = ((x * z) / x) \ (((1 / x) \ z) * y). [para(8972(a,1),8976(a,1,2,1)),flip(a)]. 8978 ((x * y) / x) \ (((1 / x) \ y) * z) = L((x \ 1) \ z,x \ y,x). [hyper(189,a,8440,a(flip),b,8977,a(flip))]. 8979 ((x * y) / x) * L((x \ 1) \ z,x \ y,x) != u | ((1 / x) \ y) * z = u. [para(8978(a,1),203(a,1,2)),flip(b)]. 8980 x * ((y * (x \ 1)) * ((x \ 1) \ z)) = ((1 / x) \ y) * z. [hyper(8979,a,8975,a),flip(a)]. 8981 x * ((y * (z / x)) * x) = ((1 / x) \ y) * z. [para(491(a,1),8980(a,1,2))]. 8983 ((1 / x) \ y) * (z * x) = x * ((y * z) * x). [para(18(a,1),8981(a,1,2,1,2)),flip(a)]. 8984 $F # answer("Osborn 1"). [resolve(8983,a,52,a)]. ============================== end of proof ========================== % Disable descendants (x means already disabled): 52 given #8107 (H,wt=17): 8982 x \ (((1 / x) \ y) * z) = (y * (z / x)) * x. [hyper(80,a,8981,a)]. given #8108 (H,wt=17): 8983 ((1 / x) \ y) * (z * x) = x * ((y * z) * x). [para(18(a,1),8981(a,1,2,1,2)),flip(a)]. given #8109 (H,wt=21): 8985 (x * (y / (z \ 1))) * (z \ 1) = (z \ 1) \ ((z \ x) * y). [para(67(a,1),8982(a,1,2,1,1)),flip(a)]. given #8110 (H,wt=21): 8986 (x * T(y * z,y)) * (y \ 1) = (y \ 1) \ ((y \ x) * z). [para(4227(a,2),8985(a,1,1,2))]. given #8111 (H,wt=17): 8987 (x * ((x \ y) * z)) * x = y * T(x * z,x). [hyper(21,a,655,a,b,8986,a),flip(a)]. given #8112 (H,wt=17): 8988 (x * y) * T(x * z,x) = (x * (y * z)) * x. [para(16(a,1),8987(a,1,1,2,1)),flip(a)]. -------- Proof 2 -------- "Osborn 2". ============================== PROOF ================================= % Proof 2 at 535.44 (+ 21.90) seconds: "Osborn 2". % Length of proof is 7726. % Level of proof is 535. % Maximum clause weight is 57.000. % Given clauses 8112 (15.163 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 (x * y) * (z / (x \ 1)) = (x * (y * z)) * x # label("Osborn 2") # label(non_clause) # label(goal). [goal]. 14 1 * x = x. [assumption]. 15 x * 1 = x. [assumption]. 16 x \ (x * y) = y. [assumption]. 17 x * (x \ y) = y. [assumption]. 18 (x * y) / y = x. [assumption]. 19 (x / y) * y = x. [assumption]. 20 x * y != z | x * u != z | u = y. [clausify(1)]. 21 x * y != z | u * y != z | u = x. [clausify(2)]. 22 x * y != x * z | y = z. [clausify(3)]. 23 x * y != z * y | x = z. [clausify(4)]. 24 x != y | z * x = z * y. [assumption]. 25 x != y | x * z = y * z. [assumption]. 26 (x * (y * z)) \ ((x * y) * z) = a(x,y,z) # label("associator"). [assumption]. 27 a(x,y,z) = (x * (y * z)) \ ((x * y) * z). [copy(26),flip(a)]. 28 (x * y) \ (y * x) = K(y,x) # label("commutator"). [assumption]. 29 K(x,y) = (y * x) \ (x * y). [copy(28),flip(a)]. 30 (x * y) \ (x * (y * z)) = L(z,y,x). [assumption]. 31 L(x,y,z) = (z * y) \ (z * (y * x)). [copy(30),flip(a)]. 32 ((x * y) * z) / (y * z) = R(x,y,z). [assumption]. 33 R(x,y,z) = ((x * y) * z) / (y * z). [copy(32),flip(a)]. 34 x \ (y * x) = T(y,x). [assumption]. 35 T(x,y) = y \ (x * y). [copy(34),flip(a)]. 36 a(x,y,z) != 1 | L(z,y,x) = z. [clausify(5)]. 37 L(x,y,z) != x | a(z,y,x) = 1. [clausify(6)]. 38 T(x,y) != x | T(y,x) = y. [clausify(7)]. 39 T(x,y) != x | K(x,y) = 1. [clausify(8)]. 40 K(x,y) != 1 | T(x,y) = x. [clausify(9)]. 41 T(T(x,y),z) = T(T(x,z),y). [assumption]. 42 T(L(x,y,z),u) = L(T(x,u),y,z). [assumption]. 43 L(T(x,y),z,u) = T(L(x,z,u),y). [copy(42),flip(a)]. 44 T(R(x,y,z),u) = R(T(x,u),y,z). [assumption]. 45 R(T(x,y),z,u) = T(R(x,z,u),y). [copy(44),flip(a)]. 46 L(R(x,y,z),u,w) = R(L(x,u,w),y,z). [assumption]. 47 R(L(x,y,z),u,w) = L(R(x,u,w),y,z). [copy(46),flip(a)]. 48 L(L(x,y,z),u,w) = L(L(x,u,w),y,z). [assumption]. 49 R(R(x,y,z),u,w) = R(R(x,u,w),y,z). [assumption]. 50 (x * (y * x)) * ((1 / x) * z) = x * (y * z) # label("gen left Bol"). [assumption]. 51 (x * (y \ 1)) * ((y * z) * y) = (x * z) * y # label("gen right Bol"). [assumption]. 53 (c4 * (c5 * c6)) * c4 != (c4 * c5) * (c6 / (c4 \ 1)) # label("Osborn 2") # answer("Osborn 2"). [deny(11)]. 54 (c4 * c5) * (c6 / (c4 \ 1)) != (c4 * (c5 * c6)) * c4 # answer("Osborn 2"). [copy(53),flip(a)]. 58 1 \ x = x. [para(14(a,1),16(a,1,2))]. 59 x \ x = 1. [para(15(a,1),16(a,1,2))]. 60 x \ (x * (y \ (y * z))) = z. [para(16(a,2),16(a,1))]. 61 (x * (x \ 1)) * y = y. [para(17(a,2),14(a,1,1))]. 62 x * (y * (y \ 1)) = x. [para(17(a,2),15(a,1,2))]. 63 x * (y * (y \ (x \ z))) = z. [para(17(a,2),17(a,1,2))]. 64 x / x = 1. [para(14(a,1),18(a,1,1))]. 66 x * (((x \ y) * z) / z) = y. [para(18(a,2),17(a,1,2))]. 67 x / (y \ x) = y. [para(17(a,1),18(a,1,1))]. 68 ((1 / x) * x) * y = y. [para(19(a,2),14(a,1,1))]. 69 (x / y) \ x = y. [para(19(a,1),16(a,1,2))]. 70 (x \ (x * (y / z))) * z = y. [para(16(a,2),19(a,1,1))]. 71 ((x * (x \ y)) / z) * z = y. [para(19(a,2),17(a,1))]. 72 (((x * y) / z) * z) / y = x. [para(19(a,2),18(a,1,1))]. 73 (((x / y) / z) * z) * y = x. [para(19(a,2),19(a,1,1))]. 74 x != y | 1 * z != y | z = x. [para(14(a,1),20(a,1))]. 75 x != y | z * u != y | z \ x = u. [para(17(a,1),20(a,1)),flip(c)]. 76 x != y | z * u != y | x / u = z. [para(19(a,1),21(a,1)),flip(c)]. 77 1 * x != y | y = x. [para(14(a,1),22(a,1)),flip(a)]. 78 (x * y) * 1 != x * z | z = y. [para(15(a,2),22(a,2)),flip(a)]. 80 x * y != z | x \ z = y. [para(17(a,1),22(a,1)),flip(a)]. 81 x * (x \ (y * z)) != y * u | u = z. [para(17(a,2),22(a,2)),flip(a)]. 82 (x / y) * z != x | z = y. [para(19(a,1),22(a,2))]. 85 x * 1 != y | y = x. [para(15(a,1),23(a,1)),flip(a)]. 86 x * 1 != y | x = y. [para(15(a,1),23(a,2))]. 87 x * (y \ z) != z | x = y. [para(17(a,1),23(a,2))]. 88 x * y != z | z / y = x. [para(19(a,1),23(a,1)),flip(a)]. 89 x * (y * (y \ z)) = x * z. [hyper(24,a,17,a)]. 90 ((x / y) * y) * z = x * z. [hyper(25,a,19,a)]. 91 (x * (x \ y)) * z = y * z. [hyper(25,a,17,a)]. 92 (x * (y * z)) * a(x,y,z) = (x * y) * z. [para(27(a,2),17(a,1,2))]. 93 (x * ((x \ y) * z)) \ (y * z) = a(x,x \ y,z). [para(17(a,1),27(a,2,2,1)),flip(a)]. 94 (x * y) \ ((x * (y / z)) * z) = a(x,y / z,z). [para(19(a,1),27(a,2,1,2)),flip(a)]. 95 (x * y) * K(y,x) = y * x. [para(29(a,2),17(a,1,2))]. 96 x \ ((y \ x) * y) = K(y \ x,y). [para(17(a,1),29(a,2,1)),flip(a)]. 97 ((x \ y) * x) \ y = K(x,x \ y). [para(17(a,1),29(a,2,2)),flip(a)]. 98 x \ (y * (x / y)) = K(y,x / y). [para(19(a,1),29(a,2,1)),flip(a)]. 99 (x * (y / x)) \ y = K(y / x,x). [para(19(a,1),29(a,2,2)),flip(a)]. 100 (x * 1) \ (x * y) = L(y,1,x). [para(14(a,1),31(a,2,2,2)),flip(a)]. 101 (x * y) \ (x * y) = L(1,y,x). [para(15(a,1),31(a,2,2,2)),flip(a)]. 102 (x * y) * L(z,y,x) = x * (y * z). [para(31(a,2),17(a,1,2))]. 103 x \ (y * ((y \ x) * z)) = L(z,y \ x,y). [para(17(a,1),31(a,2,1)),flip(a)]. 104 L(x \ y,x,z) = (z * x) \ (z * y). [para(17(a,1),31(a,2,2,2))]. 105 L(x,y / x,z) = (z * (y / x)) \ (z * y). [para(19(a,1),31(a,2,2,2))]. 106 (x * y) / (x * y) = R(1,x,y). [para(14(a,1),33(a,2,1,1)),flip(a)]. 107 ((x * 1) * y) / y = R(x,1,y). [para(14(a,1),33(a,2,2)),flip(a)]. 108 R(x,x \ y,z) = (y * z) / ((x \ y) * z). [para(17(a,1),33(a,2,1,1))]. 109 R(x,y,(x * y) \ z) = z / (y * ((x * y) \ z)). [para(17(a,1),33(a,2,1))]. 110 R(x,y,z) * (y * z) = (x * y) * z. [para(33(a,2),19(a,1,1))]. 111 R(x / y,y,z) = (x * z) / (y * z). [para(19(a,1),33(a,2,1,1))]. 112 T(x,x) = x. [para(35(a,2),16(a,1))]. 113 x * T(y,x) = y * x. [para(35(a,2),17(a,1,2))]. 114 T(x,x \ y) = (x \ y) \ y. [para(17(a,1),35(a,2,2))]. 115 T(x / y,y) = y \ x. [para(19(a,1),35(a,2,2))]. 116 T(T(R(x,y,z),u),w) = T(R(T(x,w),y,z),u). [para(45(a,2),41(a,1,1)),flip(a)]. 117 (x * (y * x)) * (1 / x) = x * (y * 1). [para(15(a,1),50(a,1,2))]. 118 (x * y) * ((1 / x) * z) = x * ((y / x) * z). [para(19(a,1),50(a,1,1,2))]. 119 (x \ 1) * ((x * y) * x) = (1 * y) * x. [para(14(a,1),51(a,1,1))]. 120 (x * (y \ 1)) * (z * y) = (x * (y \ z)) * y. [para(17(a,1),51(a,1,2,1))]. 121 (x * (x \ 1)) \ y = y. [para(17(a,2),58(a,1,1))]. 122 ((1 / x) * x) \ y = y. [para(19(a,2),58(a,1,1))]. 123 K(x,x) = 1. [para(59(a,1),29(a,2))]. 124 T(T(x,y),x) = T(x,y). [para(112(a,1),41(a,1,1)),flip(a)]. 125 T(L(x,y,z),x) = L(x,y,z). [para(112(a,1),43(a,1,1)),flip(a)]. 126 (x / (y \ x)) * z = y * z. [hyper(25,a,67,a)]. 127 (x * y) / K(x,y) = y * x. [para(29(a,2),67(a,1,2))]. 128 (x * (y * z)) / L(z,y,x) = x * y. [para(31(a,2),67(a,1,2))]. 129 (x * y) / T(x,y) = y. [para(35(a,2),67(a,1,2))]. 130 x / (y / ((z \ x) \ y)) = z. [para(67(a,2),67(a,1,2))]. 131 ((x / y) \ x) * z = y * z. [hyper(25,a,69,a)]. 132 x * ((y / (x \ z)) \ y) = z. [para(69(a,2),17(a,1,2))]. 133 R(x,y,z) \ ((x * y) * z) = y * z. [para(33(a,2),69(a,1,1))]. 134 ((x / (y / z)) \ x) \ y = z. [para(69(a,2),69(a,1,1))]. 135 (x * (x \ 1)) * y != z | z = y. [para(17(a,2),77(a,1,1))]. 136 ((1 / x) * x) * y != z | z = y. [para(19(a,2),77(a,1,1))]. 137 x * (y * (y \ 1)) != z | x = z. [para(17(a,2),86(a,1,2))]. 138 x * (y \ y) != z | x = z. [para(59(a,2),86(a,1,2))]. 139 R(x,x \ 1,y) = y / ((x \ 1) * y). [para(61(a,1),33(a,2,1))]. 140 L(x \ 1,x,y) = (y * x) \ y. [para(62(a,1),31(a,2,2))]. 141 R(1 / x,x,y) = y / (x * y). [para(68(a,1),33(a,2,1))]. 142 T((x * y) / x,x) = y. [hyper(20,a,19,a(flip),b,113,a)]. 143 (x * T(y,x)) / x = y. [hyper(21,a,19,a,b,113,a(flip)),flip(a)]. 144 x \ (y * T(x,y)) = y. [hyper(20,a,17,a,b,113,a(flip)),flip(a)]. 145 (x \ y) * T(x,x \ y) = y. [para(113(a,2),17(a,1))]. 146 x * T(y / x,x) = y. [para(113(a,2),19(a,1))]. 147 x * y != z | y * u != z | T(x,y) = u. [para(113(a,1),20(a,1)),flip(c)]. 148 x * y != z * x | T(z,x) = y. [para(113(a,1),22(a,1)),flip(a)]. 149 x * T(y,x) != z * x | z = y. [para(113(a,2),23(a,2)),flip(a)]. 150 (x * (T(y,x) * z)) \ ((y * x) * z) = a(x,T(y,x),z). [para(113(a,1),27(a,2,2,1)),flip(a)]. 151 (x * (y * T(z,x * y))) \ (z * (x * y)) = a(x,y,T(z,x * y)). [para(113(a,1),27(a,2,2)),flip(a)]. 152 (x * y) \ (T(x,y) * y) = K(T(x,y),y). [para(113(a,1),29(a,2,1)),flip(a)]. 153 (x * y) \ (y * (T(x,y) * z)) = L(z,T(x,y),y). [para(113(a,1),31(a,2,1)),flip(a)]. 154 (x * y) \ (x * (z * y)) = L(T(z,y),y,x). [para(113(a,1),31(a,2,2,2)),flip(a)]. 155 (x * (y * z)) / (z * T(x,y * z)) = R(y,z,T(x,y * z)). [para(113(a,1),33(a,2,1)),flip(a)]. 156 ((x * y) * T(z,y)) / (z * y) = R(x,y,T(z,y)). [para(113(a,1),33(a,2,2)),flip(a)]. 157 T(x,y) \ (x * y) = T(y,T(x,y)). [para(113(a,1),35(a,2,2)),flip(a)]. 158 x * T(T(y,x),z) = T(y,z) * x. [para(41(a,1),113(a,1,2))]. 159 x * L(T(y,x),z,u) = L(y,z,u) * x. [para(43(a,2),113(a,1,2))]. 160 x * R(T(y,x),z,u) = R(y,z,u) * x. [para(45(a,2),113(a,1,2))]. 161 T(T(x / y,z),y) = T(y \ x,z). [para(115(a,1),41(a,1,1)),flip(a)]. 162 T(L(x / y,z,u),y) = L(y \ x,z,u). [para(115(a,1),43(a,1,1)),flip(a)]. 163 T(R(x / y,z,u),y) = R(y \ x,z,u). [para(115(a,1),45(a,1,1)),flip(a)]. 164 T(x / (x / y),x / y) = y. [para(115(a,2),69(a,1))]. 165 K(x \ 1,x) = (x \ 1) * x. [para(121(a,1),29(a,2))]. 166 x * ((x \ 1) * y) = L(y,x \ 1,x). [para(121(a,1),31(a,2)),flip(a)]. 167 ((1 / (x * y)) * x) * y = a(1 / (x * y),x,y). [para(122(a,1),27(a,2)),flip(a)]. 168 K(x,1 / x) = x * (1 / x). [para(122(a,1),29(a,2))]. 169 (1 / x) * (x * y) = L(y,x,1 / x). [para(122(a,1),31(a,2)),flip(a)]. 170 K(T(x,y),x) = 1. [hyper(39,a,124,a)]. 171 T(x,T(x,y)) = x. [hyper(38,a,124,a)]. 172 T(T(T(x,y),z),x) = T(T(x,y),z). [para(124(a,1),41(a,1,1)),flip(a)]. 173 T(x,y) * x = x * T(x,y). [para(124(a,1),113(a,1,2)),flip(a)]. 174 x / T(y,y \ x) = y \ x. [para(17(a,1),129(a,1,1))]. 175 (R(x,y,z) * u) / R(T(x,u),y,z) = u. [para(45(a,2),129(a,1,2))]. 176 T(T((x * y) / x,z),x) = T(y,z). [para(142(a,1),41(a,1,1)),flip(a)]. 177 K(x,(y * x) / y) = 1. [para(142(a,1),170(a,1,1))]. 178 (x * T(T(y,x),z)) / x = T(y,z). [para(41(a,1),143(a,1,1,2))]. 179 L(x,y,z) \ (u * L(T(x,u),y,z)) = u. [para(43(a,2),144(a,1,2,2))]. 180 T(x,(y * x) / y) = x. [hyper(40,a,177,a)]. 181 x \ x != y | 1 = y. [para(14(a,1),138(a,1))]. 183 L(x \ (y \ z),x,y) = (y * x) \ z. [para(63(a,1),31(a,2,2))]. 184 ((x * (x \ y)) / z) \ y = z. [hyper(80,a,71,a)]. 185 ((x / y) * y) / z = x / z. [para(19(a,1),72(a,1,1,1,1))]. 187 R((x / y) / z,z,y) = x / (z * y). [para(73(a,1),33(a,2,1))]. 188 T(x,1) = x. [hyper(74,a,15,a(flip),b,113,a)]. 189 x != y | z != y | z = x. [para(14(a,1),74(b,1))]. 190 K(x,1) = 1. [hyper(39,a,188,a)]. 191 T(1,x) = 1. [hyper(38,a,188,a)]. 193 (x / y) \ x = z * (z \ y). [hyper(189,a,69,a,b,17,a),flip(a)]. 194 x / (y \ x) = z * (z \ y). [hyper(189,a,67,a,b,17,a),flip(a)]. 195 (x * y) / y = (x / z) * z. [hyper(189,a,19,a,b,18,a)]. 196 (x / y) * y = x * 1. [hyper(189,a,19,a,b,15,a),flip(a)]. 197 x \ (x * y) = z * (z \ y). [hyper(189,a,17,a,b,16,a)]. 198 x * (x \ y) = y * 1. [hyper(189,a,17,a,b,15,a),flip(a)]. 199 x * 1 != y * z | x / z = y. [para(196(a,1),23(a,1))]. 200 (x / y) * y != z | z = x. [para(196(a,2),85(a,1))]. 201 x \ (y * (y \ x)) = 1. [hyper(80,a,198,a(flip))]. 202 x * 1 != y * z | y \ x = z. [para(198(a,1),22(a,1))]. 203 x * (x \ y) != z | z = y. [para(198(a,2),85(a,1))]. 204 R(x,y,z) * (y * z) != u | (x * y) * z = u. [para(33(a,2),200(a,1,1)),flip(b)]. 205 x * T(y,x) != z | y * x = z. [para(129(a,1),200(a,1,1)),flip(b)]. 206 x * y != z | y * T(x,y) = z. [para(143(a,1),200(a,1,1)),flip(b)]. 207 (x * y) * L(z,y,x) != u | x * (y * z) = u. [para(31(a,2),203(a,1,2)),flip(b)]. 208 (x * (x \ 1)) \ y != z | z = y. [para(61(a,1),203(a,1))]. 209 ((1 / x) * x) \ y != z | z = y. [para(68(a,1),203(a,1))]. 210 (x / (y * (y \ z))) * z = x. [hyper(200,a,89,a)]. 211 x * (x \ (y * z)) = y * (u * (u \ z)). [hyper(189,a,17,a,b,89,a),flip(a)]. 212 (x * (x \ y)) * z != y * u | z = u. [para(91(a,1),22(a,2))]. 213 x * K(y \ x,y) = (y \ x) * y. [hyper(189,a,91,a(flip),b,95,a(flip)),flip(a)]. 214 x * K(y,x / y) = y * (x / y). [hyper(189,a,90,a(flip),b,95,a(flip)),flip(a)]. 215 (x * y) * z != y * x | K(y,x) = z. [para(95(a,1),22(a,1)),flip(a)]. 217 (x * (y * z)) \ (x * (z * y)) = L(K(z,y),y * z,x). [para(95(a,1),31(a,2,2,2)),flip(a)]. 218 (x * y) / (x * K(x,y)) = R(y,x,K(x,y)). [para(95(a,1),33(a,2,1)),flip(a)]. 219 T(x,x \ y) * z = ((x \ y) \ y) * z. [hyper(25,a,114,a)]. 220 x * T(y,y \ z) = x * ((y \ z) \ z). [hyper(24,a,114,a)]. 221 T(T(x,y),x \ z) = T((x \ z) \ z,y). [para(114(a,1),41(a,1,1)),flip(a)]. 222 x / K(y,y \ x) = (y \ x) * y. [para(17(a,1),127(a,1,1))]. 223 x * (((y / x) \ y) \ z) = z. [hyper(203,a,131,a)]. 224 ((x / y) \ x) * (y \ z) = z. [hyper(189,a,17,a(flip),b,131,a)]. 225 ((x / y) \ x) * z != u | y \ u = z. [para(131(a,2),80(a,1))]. 226 (x / y) * ((z / y) \ z) = x. [para(69(a,1),132(a,1,2,1,2))]. 227 (x \ y) * z != y | T(x,x \ y) = z. [para(145(a,1),22(a,1)),flip(a)]. 228 T(x / (x / y),(z / (x / y)) \ z) = y. [para(69(a,2),164(a,1,2))]. 229 x * T(x \ 1,x) = K(x \ 1,x). [hyper(189,a,113,a,b,165,a),flip(a)]. 231 K(x,1 / x) \ (x * ((1 / x) * y)) = L(y,1 / x,x). [para(168(a,2),31(a,2,1)),flip(a)]. 233 x / R(T(y,R(y,z,u) \ x),z,u) = R(y,z,u) \ x. [para(45(a,2),174(a,1,2))]. 234 x / (y \ ((x / z) * z)) = y. [hyper(189,a,67,a(flip),b,185,a(flip))]. 236 (x / y) \ x != z | z = y. [para(193(a,2),203(a,1))]. 237 x \ (x * y) != z | z = y. [para(18(a,1),236(a,1,1))]. 238 x \ (y * x) != z | T(y,x) = z. [para(129(a,1),236(a,1,1)),flip(b)]. 240 (x * y) \ (y * x) != z | K(y,x) = z. [para(127(a,1),236(a,1,1)),flip(b)]. 242 T((x * y) / x,x) != z | z = y. [para(115(a,2),237(a,1))]. 244 x / (y \ x) != z * u | z \ y = u. [para(194(a,2),22(a,1))]. 245 (x * (x \ y)) \ z = y \ z. [para(194(a,1),69(a,1,1))]. 246 x / (y \ x) != z | z = y. [para(194(a,2),203(a,1))]. 247 (x * (x \ y)) \ z != u | y \ z = u. [para(194(a,1),236(a,1,1)),flip(b)]. 248 (x * y) / y != z | z = x. [para(16(a,1),246(a,1,2))]. 249 x / x != y | 1 = y. [para(58(a,1),246(a,1,2)),flip(b)]. 250 (x * T(y,x)) / x != z | z = y. [para(144(a,1),246(a,1,2))]. 251 (x * y) / y != z * u | x / u = z. [para(195(a,2),23(a,1))]. 252 ((x / y) * y) * z != u | x * z = u. [para(195(a,1),200(a,1,1)),flip(b)]. 253 x \ (x * y) != z * u | z \ y = u. [para(197(a,2),22(a,1))]. 254 x * (y * (y \ z)) != u | x * z = u. [para(197(a,1),203(a,1,2)),flip(b)]. 255 R(x,y,y \ z) * z = (x * y) * (y \ z). [para(33(a,2),210(a,1,1))]. 256 ((x \ y) \ y) * (T(x,x \ y) \ z) = z. [para(174(a,1),224(a,1,1,1))]. 257 x * ((y / z) \ y) != u | u / z = x. [para(226(a,1),23(a,1)),flip(a)]. 258 (x / T(y,y \ z)) * ((y \ z) \ z) = x. [para(174(a,1),226(a,1,2,1))]. 260 x * y != x * z | z = y. [para(15(a,1),78(a,1))]. 261 x \ (x * y) = L(y,1,x). [para(15(a,1),100(a,1,1))]. 262 L(x,1,y) = x. [hyper(237,a,261,a)]. 265 L(1,x,y) = 1. [hyper(181,a,101,a),flip(a)]. 268 R(1,x,y) = 1. [hyper(249,a,106,a),flip(a)]. 271 (x * y) / y = R(x,1,y). [para(15(a,1),107(a,1,1,1))]. 272 R(x,1,y) = x. [hyper(248,a,271,a)]. 273 R(x,1,y) != z | z = x. [para(271(a,1),248(a,1))]. 276 L((x \ y) \ 1,x \ y,x) = y \ x. [hyper(189,a,245,a(flip),b,140,a)]. 277 L(x \ 1,x,1 / x) = 1 / x. [hyper(189,a,122,a(flip),b,140,a)]. 278 (x * y) * L(y \ 1,y,x) = x. [para(140(a,2),17(a,1,2))]. 279 L(x \ 1,x,y / x) = y \ (y / x). [para(19(a,1),140(a,2,1))]. 280 T((x * y) \ x,z) = L(T(y \ 1,z),y,x). [para(140(a,1),43(a,2,1)),flip(a)]. 281 R((x * y) \ x,z,u) = L(R(y \ 1,z,u),y,x). [para(140(a,1),47(a,1,1))]. 282 L(L(x \ 1,y,z),x,u) = L((u * x) \ u,y,z). [para(140(a,1),48(a,1,1)),flip(a)]. 283 x / L(y \ 1,y,x) = x * y. [para(140(a,2),67(a,1,2))]. 284 L(x,1 / x,y) = (y * (1 / x)) \ y. [para(69(a,1),140(a,1,1))]. 285 R(1 / x,x,y) * z = (y / (x * y)) * z. [hyper(25,a,141,a)]. 286 R(1 / x,x,x \ y) = (x \ y) / y. [para(17(a,1),141(a,2,2))]. 287 R(1 / (x / y),x / y,y) = y / x. [para(19(a,1),141(a,2,2))]. 288 T(x / (y * x),z) = R(T(1 / y,z),y,x). [para(141(a,1),45(a,2,1)),flip(a)]. 289 R(R(1 / x,y,z),x,u) = R(u / (x * u),y,z). [para(141(a,1),49(a,1,1)),flip(a)]. 290 R(1 / x,x,y) \ y = x * y. [para(141(a,2),69(a,1,1))]. 291 x \ (x * (y * z)) != z * u | T(y,z) = u. [para(16(a,2),148(a,2)),flip(a)]. 292 T(x,y) * z != x * y | T(y,T(x,y)) = z. [para(113(a,1),148(a,2))]. 294 (x * y) * K(y,x) != x * z | T(y,x) = z. [para(95(a,2),148(a,2)),flip(a)]. 297 (x / y) * y != z * u | x / u = z. [para(196(a,2),199(a,1))]. 298 x * (x \ y) != z * u | y / u = z. [para(198(a,2),199(a,1))]. 299 x * (y * (y \ 1)) != z * u | z \ x = u. [para(17(a,2),202(a,1,2))]. 300 (x / y) * y != z * u | z \ x = u. [para(196(a,2),202(a,1))]. 301 x * (x \ y) != z * u | z \ y = u. [para(198(a,2),202(a,1))]. 302 x * T(T(y,x),z) != u | T(y,z) * x = u. [para(41(a,1),205(a,1,2))]. 303 x * L(T(y,x),z,u) != w | L(y,z,u) * x = w. [para(43(a,2),205(a,1,2))]. 304 x * R(T(y,x),z,u) != w | R(y,z,u) * x = w. [para(45(a,2),205(a,1,2))]. 305 K(x,1 / x) != y | x * (1 / x) = y. [para(29(a,2),209(a,1)),flip(b)]. 306 L(x,y,1 / y) != z | (1 / y) * (y * x) = z. [para(31(a,2),209(a,1)),flip(b)]. 307 T(x / y,y) != z | y \ x = z. [para(17(a,1),242(a,1,1,1)),flip(b)]. 308 (x * y) * z != x | L(y \ 1,y,x) = z. [para(278(a,1),22(a,1)),flip(a)]. 309 L(L(x \ 1,x,y),y * x,z) = (z * (y * x)) \ (z * y). [para(278(a,1),31(a,2,2,2))]. 310 (x * y) \ x != z | L(y \ 1,y,x) = z. [para(278(a,1),237(a,1,2)),flip(b)]. 311 x / L(y,1 / y,x) = x * (1 / y). [para(69(a,1),283(a,1,2,1))]. 312 L(x \ 1,x,y) * (((y * x) \ y) \ z) = z. [para(283(a,1),223(a,1,2,1,1))]. 313 R(x,x \ 1,y) \ y = (x \ 1) * y. [para(67(a,1),290(a,1,1,1))]. 314 x / (y * x) != z | R(1 / y,y,x) = z. [para(290(a,1),246(a,1,2)),flip(b)]. 315 T(x,x \ y) != z | (x \ y) \ y = z. [para(67(a,1),307(a,1,1))]. 316 T(x,T(y,x)) != z | T(y,x) \ (y * x) = z. [para(129(a,1),307(a,1,1))]. 317 T(x \ y,T(x,x \ y)) != z | T(x,x \ y) \ y = z. [para(174(a,1),307(a,1,1))]. 318 x \ T(y,y \ z) = x \ ((y \ z) \ z). [hyper(75,a,114,a,b,17,a)]. 319 L(x \ 1,x,y) / ((y * x) \ y) = 1. [hyper(76,a,140,a,b,14,a)]. 320 x \ (y * T(y \ x,y)) = K(y \ x,y). [para(113(a,2),96(a,1,2))]. 321 K(x \ 1,x) \ 1 = K(x,x \ 1). [para(165(a,2),97(a,1,1))]. 322 x * T(x \ (y * x),z) = T(y,z) * x. [para(35(a,1),158(a,1,2,1))]. 323 T(x / y,z) * y = y * T(y \ x,z). [para(115(a,1),158(a,1,2,1)),flip(a)]. 324 T(x,y) * T(x,z) = T(x,z) * T(x,y). [para(171(a,1),158(a,1,2,1))]. 325 T((x * y) / x,z) * x = x * T(y,z). [para(142(a,1),158(a,1,2,1)),flip(a)]. 326 (x \ y) * T((x \ y) \ y,z) = T(x,z) * (x \ y). [para(114(a,1),158(a,1,2,1))]. 327 T(x / (x / y),z) * (x / y) = (x / y) * T(y,z). [para(164(a,1),158(a,1,2,1)),flip(a)]. 328 (x * T(x \ y,z)) / x = T(y / x,z). [para(161(a,1),143(a,1,1,2))]. 329 T(x,T(T(x,y),z)) = x. [hyper(38,a,172,a)]. 330 (x * T(y,z)) / x = T((x * y) / x,z). [para(176(a,1),143(a,1,1,2))]. 331 x * T(y,z) != u * x | T((x * y) / x,z) = u. [para(176(a,1),149(a,1,2)),flip(b)]. 332 (x * T(y,z)) / x != u | T((x * y) / x,z) = u. [para(176(a,1),250(a,1,1,2)),flip(b)]. 333 T(T(x,y),z) != u | T(T(x,z),y) = u. [para(178(a,1),242(a,1,1)),flip(b)]. 334 (x \ y) * x != y * z | K(x \ y,x) = z. [para(213(a,1),22(a,1))]. 335 (x * y) \ (x * ((z \ y) * z)) = L(K(z \ y,z),y,x). [para(213(a,1),31(a,2,2,2)),flip(a)]. 336 x \ ((y \ x) * y) != z | K(y \ x,y) = z. [para(213(a,1),237(a,1,2)),flip(b)]. 338 x \ (y * (x / y)) != z | K(y,x / y) = z. [para(214(a,1),237(a,1,2)),flip(b)]. 339 1 / K(x,x \ 1) = K(x \ 1,x). [hyper(189,a,165,a,b,222,a)]. 340 (x * y) * L(z,y,x) != x * u | y * z = u. [para(31(a,2),81(a,1,2)),flip(b)]. 341 (x * y) / L(z \ y,z,x) = x * z. [hyper(76,a,89,a(flip),b,102,a)]. 342 x \ ((x * y) * L(z,y,x)) = y * z. [hyper(75,a,102,a,b,xx)]. 343 L(x \ (y \ ((y * x) * z)),x,y) = z. [hyper(20,a,63,a(flip),b,102,a)]. 344 x * L(y,z \ x,z) = z * ((z \ x) * y). [hyper(189,a,91,a(flip),b,102,a(flip)),flip(a)]. 345 x * L(y,z,x / z) = (x / z) * (z * y). [hyper(189,a,90,a(flip),b,102,a(flip)),flip(a)]. 346 (x * y) * z != x * (y * u) | L(u,y,x) = z. [para(102(a,1),22(a,1)),flip(a)]. 347 (x * (y * z)) \ ((x * y) * (L(z,y,x) * u)) = L(u,L(z,y,x),x * y). [para(102(a,1),31(a,2,1)),flip(a)]. 348 (x * (y * z)) \ (x * (y * (z * u))) = L(L(u,z,y),y * z,x). [para(102(a,1),31(a,2,2,2)),flip(a)]. 349 (x * (y * z)) / (y * L(z,y,x)) = R(x,y,L(z,y,x)). [para(102(a,1),33(a,2,1)),flip(a)]. 350 (x * y) * T(L(z,y,x),u) = x * (y * T(z,u)). [para(43(a,1),102(a,1,2))]. 351 (x * y) * R(L(z,y,x),u,w) = x * (y * R(z,u,w)). [para(47(a,2),102(a,1,2))]. 352 (x * y) * L(L(z,y,x),u,w) = x * (y * L(z,u,w)). [para(48(a,1),102(a,1,2))]. 353 (x * y) * L(z,T(x,y),y) = y * (T(x,y) * z). [para(113(a,1),102(a,1,1))]. 354 K(x \ 1,x) * L(y,x,x \ 1) = (x \ 1) * (x * y). [para(165(a,2),102(a,1,1))]. 355 (x * y) \ (x * (y * z)) != u | L(z,y,x) = u. [para(102(a,1),237(a,1,2)),flip(b)]. 356 x \ ((x * y) * L(z,y,x)) != u | y * z = u. [para(102(a,2),237(a,1,2)),flip(b)]. 357 x * ((x \ 1) * y) != z | L(y,x \ 1,x) = z. [para(102(a,1),135(a,1)),flip(b)]. 358 (1 / x) * (x * y) != z | L(y,x,1 / x) = z. [para(102(a,1),136(a,1)),flip(b)]. 359 L((x \ y) \ z,x \ y,x) = y \ (x * z). [hyper(189,a,245,a(flip),b,104,a)]. 360 L(x \ T(y * x,y),x,y) = y. [hyper(189,a,144,a(flip),b,104,a)]. 361 L(x \ y,x,1 / x) = (1 / x) * y. [hyper(189,a,122,a(flip),b,104,a)]. 362 L((x \ 1) \ y,x \ 1,x) = x * y. [hyper(189,a,121,a(flip),b,104,a)]. 363 L(x \ ((y * x) / y),x,y) = K(y,(y * x) / y). [hyper(189,a,98,a(flip),b,104,a)]. 364 L(x \ y,x,z / x) = z \ ((z / x) * y). [para(19(a,1),104(a,2,1))]. 365 L(T(x,y) \ z,T(x,y),y) = (x * y) \ (y * z). [para(113(a,1),104(a,2,1))]. 366 L(x \ T(y,z),x,z) = (z * x) \ (y * z). [para(113(a,1),104(a,2,2))]. 367 L((x \ 1) \ y,x \ 1,x) != z | x * y = z. [para(104(a,2),208(a,1)),flip(b)]. 368 L(L(x,y,z) \ u,L(x,y,z),z * y) = (z * (y * x)) \ ((z * y) * u). [para(102(a,1),104(a,2,1))]. 369 (x * y) * (y \ 1) = R(x,y,y \ 1). [hyper(137,a,110,a),flip(a)]. 370 R(x,x \ y,z) \ (y * z) = (x \ y) * z. [hyper(75,a,91,a(flip),b,110,a)]. 371 R(x / y,y,z) \ (x * z) = y * z. [hyper(75,a,90,a(flip),b,110,a)]. 372 R(((x * (y * z)) / z) / y,y,z) = x. [hyper(21,a,73,a(flip),b,110,a)]. 373 R(x,y,y \ 1) / (y \ 1) = x * y. [hyper(76,a,62,a(flip),b,110,a(flip))]. 374 (x * y) \ R(x,y,y \ 1) = y \ 1. [hyper(75,a,62,a(flip),b,110,a(flip))]. 375 R(x,y / z,z) * y = (x * (y / z)) * z. [para(19(a,1),110(a,1,2))]. 376 (x * y) * z != u * (y * z) | R(x,y,z) = u. [para(110(a,1),23(a,1))]. 377 ((x * y) * z) \ ((R(x,y,z) * y) * z) = a(R(x,y,z),y,z). [para(110(a,1),27(a,2,1)),flip(a)]. 378 (((x * y) * z) * u) / ((y * z) * u) = R(R(x,y,z),y * z,u). [para(110(a,1),33(a,2,1,1)),flip(a)]. 379 ((x * R(y,z,u)) * (z * u)) / ((y * z) * u) = R(x,R(y,z,u),z * u). [para(110(a,1),33(a,2,2)),flip(a)]. 380 T(R(x,y,z),u) * (y * z) = (T(x,u) * y) * z. [para(45(a,1),110(a,1,1))]. 381 L(R(x,y,z),u,w) * (y * z) = (L(x,u,w) * y) * z. [para(47(a,1),110(a,1,1))]. 382 R(R(x,y,z),u,w) * (y * z) = (R(x,u,w) * y) * z. [para(49(a,1),110(a,1,1))]. 383 R(x,y,T(z,y)) * (z * y) = (x * y) * T(z,y). [para(113(a,1),110(a,1,2))]. 384 R(x,y * z,K(z,y)) * (z * y) = (x * (y * z)) * K(z,y). [para(95(a,1),110(a,1,2))]. 385 ((x * y) * z) / (y * z) != u | R(x,y,z) = u. [para(110(a,1),248(a,1,1)),flip(b)]. 386 (R(x,y,z) * (y * z)) / z != u | x * y = u. [para(110(a,2),248(a,1,1)),flip(b)]. 387 (x * y) * (y \ 1) != z | R(x,y,y \ 1) = z. [para(110(a,1),137(a,1))]. 389 ((x * y) * z) * L(u,y * z,R(x,y,z)) = R(x,y,z) * ((y * z) * u). [para(110(a,1),102(a,1,1))]. 390 R(x / y,y,x \ z) = z / (y * (x \ z)). [para(17(a,1),111(a,2,1))]. 391 R(x / (y / z),y / z,z) = (x * z) / y. [para(19(a,1),111(a,2,2))]. 392 T((x * y) / (z * y),u) = R(T(x / z,u),z,y). [para(111(a,1),45(a,2,1)),flip(a)]. 393 T(R(x / y,y,z),y * z) = (y * z) \ (x * z). [para(111(a,2),115(a,1,1))]. 394 R(x / T(y,z),T(y,z),y) = (x * y) / (y * T(y,z)). [para(173(a,1),111(a,2,2))]. 395 R(x / y,y,x \ z) \ z = y * (x \ z). [para(111(a,2),184(a,1,1))]. 396 R(R(x,y,z) / u,u,y * z) = ((x * y) * z) / (u * (y * z)). [para(110(a,1),111(a,2,1))]. 397 R(x / R(y,z,u),R(y,z,u),z * u) = (x * (z * u)) / ((y * z) * u). [para(110(a,1),111(a,2,2))]. 398 (x * y) / L(z,y / z,x) = x * (y / z). [para(19(a,1),128(a,1,1,2))]. 399 R(x * y,K(y,x),z) \ ((y * x) * z) = K(y,x) * z. [para(95(a,1),133(a,1,2,1))]. 400 R(x * y,L(z,y,x),u) \ ((x * (y * z)) * u) = L(z,y,x) * u. [para(102(a,1),133(a,1,2,1))]. 401 x / K(x \ 1,x) = R(x,x \ 1,x). [para(165(a,2),139(a,2,2)),flip(a)]. 402 x \ L(L(y,x \ 1,x),z,u) = (x \ 1) * L(y,z,u). [hyper(75,a,48,a,b,166,a)]. 403 (1 / x) \ L(L(y,x,1 / x),z,u) = x * L(y,z,u). [hyper(75,a,48,a,b,169,a)]. 404 x * ((x \ y) * z) != y * u | L(z,x \ y,x) = u. [para(102(a,1),212(a,1))]. 406 (x * y) / y != z * u | z \ x = u. [para(16(a,1),244(a,1,2))]. 410 (R(x,y,z) * (y * z)) / z != u * w | (x * y) / w = u. [para(110(a,2),251(a,1,1))]. 411 (x * (x \ y)) * z != u | y * z = u. [para(67(a,1),252(a,1,1,1))]. 413 x \ (y * (y \ x)) != z * u | z \ 1 = u. [para(198(a,2),253(a,1,2))]. 415 T(x \ (x / y),z) = L(T(y \ 1,z),y,x / y). [para(279(a,1),43(a,2,1)),flip(a)]. 416 K(x,1 / x) \ x = L(x,1 / x,x). [para(168(a,2),284(a,2,1)),flip(a)]. 417 T((x \ y) / y,z) = R(T(1 / x,z),x,x \ y). [para(286(a,1),45(a,2,1)),flip(a)]. 418 (((x / y) / z) * z) * y != u * w | x / w = u. [para(19(a,2),297(a,1,1))]. 420 ((x / y) * y) * z != u * w | (x * z) / w = u. [para(195(a,1),297(a,1,1))]. 423 ((1 / x) * x) * y != z * u | y / u = z. [para(122(a,1),298(a,1,2))]. 424 x * (y * (y \ z)) != u * w | (x * z) / w = u. [para(197(a,1),298(a,1,2))]. 425 x \ (x * y) != z * u | y / u = z. [para(197(a,2),298(a,1))]. 426 x * y != z * u | z \ (x * y) = u. [para(18(a,1),300(a,1,1))]. 428 x * T(y,x) != z * u | z \ (y * x) = u. [para(129(a,1),300(a,1,1))]. 429 (x * y) * K(y,x) != z * u | z \ (y * x) = u. [para(127(a,1),300(a,1,1))]. 430 ((x / y) * y) * z != u * w | u \ (x * z) = w. [para(195(a,1),300(a,1,1))]. 431 x * (y * (y \ (x \ z))) != u * w | u \ z = w. [para(17(a,2),301(a,1,2))]. 432 x * (y * (y \ z)) != u * w | u \ (x * z) = w. [para(197(a,1),301(a,1,2))]. 435 T(x \ y,T(x,x \ y)) != z | ((x \ y) \ y) \ y = z. [para(114(a,2),315(a,1,2))]. 437 (x * y) \ (x * z) != u | L(y \ z,y,x) = u. [para(341(a,1),236(a,1,1)),flip(b)]. 440 L(T(x \ y,z),x,1 / x) = T((1 / x) * y,z). [para(361(a,1),43(a,2,1))]. 441 L(R(x \ y,z,u),x,1 / x) = R((1 / x) * y,z,u). [para(361(a,1),47(a,1,1)),flip(a)]. 442 L(L(x \ y,z,u),x,1 / x) = L((1 / x) * y,z,u). [para(361(a,1),48(a,1,1)),flip(a)]. 443 L(T((x \ 1) \ y,z),x \ 1,x) = T(x * y,z). [para(362(a,1),43(a,2,1))]. 444 L(R((x \ 1) \ y,z,u),x \ 1,x) = R(x * y,z,u). [para(362(a,1),47(a,1,1)),flip(a)]. 445 R(x / y,y,y \ 1) = x * (y \ 1). [hyper(252,a,369,a),flip(a)]. 446 R(1 / x,x,x \ 1) = x \ 1. [hyper(136,a,369,a)]. 447 (x \ 1) \ R(y,x,x \ 1) = T(y * x,x \ 1). [hyper(75,a,369,a(flip),b,113,a)]. 448 (x * (y \ 1)) * T(y,y \ 1) = R(x,y \ 1,(y \ 1) \ 1). [para(114(a,2),369(a,1,2))]. 450 R(x / y,y,T(z,x)) \ (z * x) = y * T(z,x). [para(113(a,1),371(a,1,2))]. 451 (x * y) / (z * y) != u | R(x / z,z,y) = u. [para(371(a,1),246(a,1,2)),flip(b)]. 452 R(R(1 / x,x,y),x * y,z) \ (y * z) = (x * y) * z. [para(141(a,2),371(a,1,1,1))]. 453 R(x,y,y \ 1) / (y \ 1) != z * y | z = x. [para(373(a,2),23(a,2)),flip(a)]. 455 ((x / y) \ x) * z != u | y * z = u. [para(193(a,2),411(a,1,1))]. 456 (x / (y \ x)) * z != u | y * z = u. [para(194(a,2),411(a,1,1))]. 457 K(x,1 / x) * L(x,1 / x,x) = x. [para(416(a,1),17(a,1,2))]. 460 R(x,y,z) \ ((x * y) * z) != u * w | (y * z) / w = u. [para(110(a,1),425(a,1,2))]. 462 R(T(x / y,z),y,y \ 1) = T(x * (y \ 1),z). [para(445(a,1),45(a,2,1))]. 463 R(L(x / y,z,u),y,y \ 1) = L(x * (y \ 1),z,u). [para(445(a,1),47(a,2,1))]. 464 R(R(x / y,z,u),y,y \ 1) = R(x * (y \ 1),z,u). [para(445(a,1),49(a,1,1)),flip(a)]. 465 ((x \ y) \ y) * z != u | T(x,x \ y) * z = u. [para(174(a,1),455(a,1,1,1))]. 466 K(x,1 / x) * y != x | L(x,1 / x,x) = y. [para(457(a,1),22(a,1)),flip(a)]. 467 (x * (y * x)) * (1 / x) = x * y. [para(15(a,1),117(a,2,2))]. 468 x * ((x \ y) * x) = y / (1 / x). [hyper(76,a,17,a(flip),b,467,a),flip(a)]. 469 (x * y) * (1 / x) = x * (y / x). [para(19(a,1),467(a,1,1,2))]. 470 x \ (y / (1 / x)) = (x \ y) * x. [hyper(80,a,468,a)]. 471 (x \ (y * (1 / x))) * x = x \ y. [hyper(75,a,18,a(flip),b,468,a),flip(a)]. 472 L(x,x \ 1,x) = 1 / (1 / x). [hyper(189,a,166,a(flip),b,468,a(flip)),flip(a)]. 473 (x / (1 / y)) * ((1 / y) * z) = y * ((y \ x) * z). [para(468(a,1),50(a,1,1))]. 474 x * K(x \ 1,x) = 1 / (1 / x). [para(165(a,2),468(a,1,2))]. 475 L(R(x,y,z),x \ 1,x) = R(1 / (1 / x),y,z). [para(472(a,1),47(a,1,1)),flip(a)]. 476 (x \ 1) * (y / (x \ 1)) = ((x \ 1) * y) * x. [para(67(a,1),469(a,1,2)),flip(a)]. 477 x \ (1 / (1 / x)) = K(x \ 1,x). [hyper(189,a,165,a,b,470,a)]. 478 ((x \ 1) \ y) * (x \ 1) = (x \ 1) \ (y / x). [para(67(a,1),470(a,1,2,2)),flip(a)]. 482 (x \ 1) * ((x * y) * x) = y * x. [para(14(a,1),119(a,2,1))]. 483 ((1 / x) * y) * (1 / x) = x \ (y * (1 / x)). [hyper(225,a,482,a),flip(a)]. 484 (x \ 1) * ((x * 1) * x) = x. [hyper(189,a,14,a(flip),b,482,a)]. 485 (x * (y / x)) * x = (x \ 1) \ y. [hyper(75,a,19,a(flip),b,482,a),flip(a)]. 486 (x \ 1) * (y * x) = (x \ y) * x. [para(17(a,1),482(a,1,2,1))]. 487 (x \ 1) * y != z * x | (x * z) * x = y. [para(482(a,1),22(a,1)),flip(a)]. 488 (x \ 1) * (x * x) = x. [para(15(a,1),484(a,1,2,1))]. 489 (x \ 1) \ x = x * x. [hyper(80,a,488,a)]. 491 (x * (y \ 1)) * ((y \ 1) \ z) = (x * (z / y)) * y. [para(485(a,1),51(a,1,2))]. 492 K(x,1 / x) * x = (x \ 1) \ 1. [para(168(a,2),485(a,1,1))]. 493 x \ (y / (1 / x)) = (x \ 1) * (y * x). [hyper(189,a,470,a,b,486,a),flip(a)]. 494 ((x \ 1) \ 1) / x = K(x,1 / x). [hyper(88,a,492,a)]. 495 ((x \ 1) \ 1) / x != y | K(x,1 / x) = y. [para(492(a,1),248(a,1,1)),flip(b)]. 496 K(1 / x,1 / (1 / x)) = (x \ 1) / (1 / x). [para(69(a,1),494(a,1,1,1)),flip(a)]. 497 T(x / y,(z / y) \ z) = y \ x. [hyper(147,a,226,a,b,224,a)]. 498 x * (y * T(z,x * y)) = L(z,y,x) * (x * y). [hyper(189,a,102,a(flip),b,159,a(flip)),flip(a)]. 499 (x * (L(y,z,u) * w)) \ ((x * w) * L(T(y,w),z,u)) = a(x,w,L(T(y,w),z,u)). [para(159(a,1),27(a,2,1,2)),flip(a)]. 500 x * L(x \ (y * x),z,u) = L(y,z,u) * x. [para(35(a,1),159(a,1,2,1))]. 501 x * L(R(T(y,x),z,u),w,v5) = L(R(y,z,u),w,v5) * x. [para(45(a,2),159(a,1,2,1))]. 502 L(x / y,z,u) * y = y * L(y \ x,z,u). [para(115(a,1),159(a,1,2,1)),flip(a)]. 503 L((x * y) / x,z,u) * x = x * L(y,z,u). [para(142(a,1),159(a,1,2,1)),flip(a)]. 504 L(L(x,y,z),u,w) * x = x * L(L(x,y,z),u,w). [para(125(a,1),159(a,1,2,1)),flip(a)]. 505 (x * y) * R(T(z,x * y),x,y) = (z * x) * y. [hyper(189,a,110,a(flip),b,160,a)]. 506 ((x * y) * z) / R(T(x,y * z),y,z) = y * z. [hyper(76,a,110,a(flip),b,160,a)]. 507 (x * y) \ ((z * x) * y) = R(T(z,x * y),x,y). [hyper(75,a,110,a(flip),b,160,a)]. 509 x * R(T(T(y,x),z),u,w) = R(T(y,z),u,w) * x. [para(41(a,1),160(a,1,2,1))]. 510 R(x / y,z,u) * y = y * R(y \ x,z,u). [para(115(a,1),160(a,1,2,1)),flip(a)]. 511 R(T(x,y),z,u) * x = x * R(T(x,y),z,u). [para(124(a,1),160(a,1,2,1)),flip(a)]. 512 R((x * y) / x,z,u) * x = x * R(y,z,u). [para(142(a,1),160(a,1,2,1)),flip(a)]. 513 (x \ y) * R((x \ y) \ y,z,u) = R(x,z,u) * (x \ y). [para(114(a,1),160(a,1,2,1))]. 514 R(x / (x / y),z,u) * (x / y) = (x / y) * R(y,z,u). [para(164(a,1),160(a,1,2,1)),flip(a)]. 515 (x * L(x \ y,z,u)) / x = L(y / x,z,u). [para(162(a,1),143(a,1,1,2))]. 516 (x * R(x \ y,z,u)) / x = R(y / x,z,u). [para(163(a,1),143(a,1,1,2))]. 517 T(x / (y * x),y) = R(y \ 1,y,x). [para(141(a,1),163(a,1,1))]. 518 T((x * y) / (z * y),z) = R(z \ x,z,y). [para(111(a,1),163(a,1,1))]. 519 R(x \ (y / z),x,z) = T(y / (x * z),x). [para(187(a,1),163(a,1,1)),flip(a)]. 520 R(x \ 1,x,x \ 1) = T(x \ 1,x). [para(446(a,1),163(a,1,1)),flip(a)]. 521 R(x \ y,x,x \ 1) = T(y * (x \ 1),x). [para(445(a,1),163(a,1,1)),flip(a)]. 522 (x / (y * x)) * y = y * R(y \ 1,y,x). [para(517(a,1),113(a,1,2)),flip(a)]. 523 T(x,x \ y) \ z = ((x \ y) \ y) \ z. [hyper(301,a,219,a),flip(a)]. 524 ((x \ y) \ y) * T(z,T(x,x \ y)) = z * T(x,x \ y). [hyper(205,a,219,a),flip(a)]. 525 T(T(x,x \ y),z) = T((x \ y) \ y,z). [hyper(147,a,219,a,b,113,a)]. 526 T(x,x \ y) \ (((x \ y) \ y) * z) = z. [hyper(81,a,219,a)]. 527 (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) = K(z,(x \ y) \ y). [para(219(a,2),29(a,2,1)),flip(a)]. 528 (T(x,x \ y) * z) \ (((x \ y) \ y) * (z * u)) = L(u,z,(x \ y) \ y). [para(219(a,2),31(a,2,1)),flip(a)]. 530 (x / ((y \ z) \ z)) * T(y,y \ z) = x. [hyper(189,a,19,a(flip),b,220,a)]. 531 (x * T(y,y \ z)) / ((y \ z) \ z) = x. [hyper(76,a,220,a,b,xx)]. 534 (x \ y) * T(T((x \ y) \ y,z),u) = T(T(x,z),u) * (x \ y). [para(221(a,1),158(a,1,2,1))]. 535 ((x \ y) \ y) \ z != u | T(x,x \ y) \ z = u. [para(256(a,1),237(a,1,2)),flip(b)]. 536 x \ ((x / T(y,y \ z)) * (((y \ z) \ z) * u)) = L(u,(y \ z) \ z,x / T(y,y \ z)). [para(258(a,1),31(a,2,1)),flip(a)]. 537 x \ (x / y) != z | L(y \ 1,y,x / y) = z. [para(19(a,1),310(a,1,1))]. 538 T(x,y) / (x * y) != z | R(1 / y,y,T(x,y)) = z. [para(113(a,1),314(a,1,2))]. 539 (1 / x) / K(x,1 / x) != y | R(1 / x,x,1 / x) = y. [para(168(a,2),314(a,1,2))]. 540 ((x \ y) \ y) / T(z,z \ T(x,x \ y)) = z \ ((x \ y) \ y). [para(318(a,2),174(a,1,2,2))]. 541 x * T(x \ (y * x),z) != u * w | u \ (T(y,z) * x) = w. [para(322(a,2),426(a,1))]. 543 ((((x * y) / x) \ z) \ z) * x = x * T(y,((x * y) / x) \ z). [hyper(189,a,219,a(flip),b,325,a(flip)),flip(a)]. 544 T(x / y,z) * y != u | y * T(y \ x,z) = u. [para(328(a,1),200(a,1,1)),flip(b)]. 546 T((x * (y / z)) / x,z) = (x * (z \ y)) / x. [para(115(a,1),330(a,1,1,2)),flip(a)]. 547 T((x * y) / x,z) * x != u | x * T(y,z) = u. [para(330(a,1),200(a,1,1)),flip(b)]. 548 T(T((x * y) / x,z),x) != u | T(y,z) = u. [para(330(a,1),242(a,1,1)),flip(b)]. 550 x \ (((y / (1 / x)) * z) / z) = (x \ 1) * (y * x). [para(18(a,2),493(a,1,2))]. 551 T(x,x \ y) * z != u | ((x \ y) \ y) * z = u. [para(526(a,1),203(a,1,2)),flip(b)]. 553 (x * (y * z)) \ ((x * y) * z) != u | a(x,y,z) = u. [para(92(a,1),237(a,1,2)),flip(b)]. 554 L(T(x,y),y,x) = T(x,x * y). [hyper(238,a,154,a),flip(a)]. 555 (R(x,y,z) * z) \ ((x * y) * z) = L(T(y,z),z,R(x,y,z)). [para(110(a,1),154(a,1,2))]. 556 L(T(x,y \ z),y \ z,y) != u | z \ (y * (x * (y \ z))) = u. [para(154(a,1),247(a,1))]. 557 T(L(x,y,x),y) = T(x,x * y). [hyper(189,a,43,a(flip),b,554,a(flip)),flip(a)]. 558 L(R(T(x,y),z,u),y,x) = R(T(x,x * y),z,u). [para(554(a,1),47(a,1,1)),flip(a)]. 559 x * T(y,y * x) = L(y,x,y) * x. [para(554(a,1),159(a,1,2))]. 560 (x * y) * R(L(T(x,y),y,x),z,u) = R(x,z,u) * (x * y). [para(554(a,2),160(a,1,2,1))]. 561 (x * T(y,y * x)) / x = L(y,x,y). [para(557(a,1),143(a,1,1,2))]. 562 x * L(T(y,y * x),z,u) = L(L(y,x,y),z,u) * x. [para(557(a,1),159(a,1,2,1))]. 563 T((x * y) / x,y * x) = L(y,x,y). [hyper(21,a,325,a,b,559,a(flip)),flip(a)]. 564 L(x,T(y,x),x) * T(y,x) = T(y,x) * T(x,y * x). [para(113(a,1),559(a,1,2,2)),flip(a)]. 565 T(((x \ y) * x) / (x \ y),y) = L(x,x \ y,x). [para(17(a,1),563(a,1,2))]. 566 T(T((x * y) / x,z),y * x) = T(L(y,x,y),z). [para(563(a,1),41(a,1,1)),flip(a)]. 567 (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(218(a,1),323(a,1,1,1)),flip(a)]. 568 x * R(T(y,x),z,z \ x) = (y * z) * (z \ x). [hyper(189,a,160,a,b,255,a(flip)),flip(a)]. 569 (x * y) * T((x * y) \ x,z) = x * (y * T(y \ 1,z)). [para(280(a,2),102(a,1,2))]. 570 (x / (y * x)) * (R(1 / y,y,x) \ z) = z. [hyper(203,a,285,a)]. 571 x * T(x \ (y * x),z) != u | T(y,z) * x = u. [para(35(a,1),302(a,1,2,1))]. 572 x * T(T(T(y,x),z),u) != w | T(T(y,z),u) * x = w. [para(41(a,1),302(a,1,2,1))]. 573 L(x \ 1,x,y) \ z = ((y * x) \ y) \ z. [hyper(80,a,312,a)]. 574 K(L(x \ 1,x,y) \ 1,L(x \ 1,x,y)) = ((y * x) \ y) \ (1 / (1 / L(x \ 1,x,y))). [hyper(20,a,474,a,b,312,a),flip(a)]. 575 x \ (y * T(y \ x,y)) != z | K(y \ x,y) = z. [para(113(a,2),336(a,1,2))]. 576 x * L(L(y,z \ x,z),u,w) = z * ((z \ x) * L(y,u,w)). [para(48(a,1),344(a,1,2))]. 577 x \ (y * ((y \ x) * z)) != u | L(z,y \ x,y) = u. [para(344(a,1),237(a,1,2)),flip(b)]. 579 L(x \ y,x,y / x) = T(y / x,y). [hyper(147,a,89,a(flip),b,345,a),flip(a)]. 580 x * L(L(y,z,x / z),u,w) = (x / z) * (z * L(y,u,w)). [para(48(a,1),345(a,1,2))]. 581 a(x,y,z) = L(((x * y) \ (x * (y * z))) \ z,(x * y) \ (x * (y * z)),x * y). [hyper(189,a,27,a,b,359,a),flip(a)]. 582 L(T((x \ y) \ z,u),x \ y,x) = T(y \ (x * z),u). [para(359(a,1),43(a,2,1))]. 583 L(R((x \ y) \ z,u,w),x \ y,x) = R(y \ (x * z),u,w). [para(359(a,1),47(a,1,1)),flip(a)]. 584 K(x,y) = L(x \ T(x,y),x,y). [hyper(189,a,29,a,b,366,a),flip(a)]. 585 L(T(x \ T(y,z),u),x,z) = T((z * x) \ (y * z),u). [para(366(a,1),43(a,2,1))]. 587 R(x,x \ (y / z),z) \ y = (x \ (y / z)) * z. [para(19(a,1),370(a,1,2))]. 588 (x * y) / ((z \ x) * y) != u | R(z,z \ x,y) = u. [para(370(a,1),246(a,1,2)),flip(b)]. 589 (x * (1 / y)) * y = R(x,1 / y,y). [hyper(86,a,375,a),flip(a)]. 590 (x * (y / z)) * z != u * y | R(x,y / z,z) = u. [para(375(a,1),23(a,1))]. 591 (x * (1 / y)) * y != z | R(x,1 / y,y) = z. [para(375(a,1),85(a,1)),flip(b)]. 592 R(T(x / (y / z),u),y / z,z) * y = ((y / z) * T((y / z) \ x,u)) * z. [para(323(a,1),375(a,2,1))]. 593 R(x / (1 / y),1 / y,y) = x * y. [hyper(252,a,589,a),flip(a)]. 594 R(R(x,1 / y,y),z,u) / y = R(x,z,u) * (1 / y). [hyper(76,a,49,a,b,589,a)]. 595 L(R(x,1 / y,y),z,u) / y = L(x,z,u) * (1 / y). [hyper(76,a,47,a(flip),b,589,a)]. 596 R(T(x / (1 / y),z),1 / y,y) = T(x * y,z). [para(593(a,1),45(a,2,1))]. 597 R(T(x / (y / z),u),y / z,z) = T((x * z) / y,u). [para(391(a,1),45(a,2,1))]. 598 R((x / y) \ z,x / y,y) = T((z * y) / x,x / y). [para(391(a,1),163(a,1,1)),flip(a)]. 599 T(x * (y / z),L(z,y / z,x)) = L(z,y / z,x) \ (x * y). [para(398(a,1),115(a,1,1))]. 602 T(x,x \ 1) / x != y | K(x,1 / x) = y. [para(114(a,2),495(a,1,1))]. 603 R(x,y,z) = T(((y * x) * z) / (y * z),y). [para(16(a,1),518(a,2,1)),flip(a)]. 604 T((x * (y \ z)) / z,y) = R(y \ x,y,y \ z). [para(17(a,1),518(a,1,1,2))]. 605 ((x \ (y / (x \ z))) * x) * (x \ z) = T(y / (x * (x \ z)),x) * z. [para(519(a,1),255(a,1,1)),flip(a)]. 606 ((x \ y) * x) * (x \ 1) = T(y * (x \ 1),x). [hyper(189,a,369,a,b,521,a(flip)),flip(a)]. 607 (x * R(x \ 1,x,y)) \ (x * (y / (x * y))) != z | K(x,y / (x * y)) = z. [para(522(a,1),240(a,1,1))]. 608 T((((x * y) / x) \ z) \ z,x) != u | T(y,((x * y) / x) \ z) = u. [para(114(a,1),548(a,1,1))]. 609 ((x \ y) / y) * (R(1 / x,x,x \ y) \ z) = z. [para(17(a,1),570(a,1,1,2))]. 610 R(1 / x,x,y) != z | y / (x * y) = z. [para(570(a,1),138(a,1))]. 611 L(x \ 1,x,y) \ (z * ((y * x) \ y)) = T(z,(y * x) \ y). [hyper(189,a,35,a,b,573,a)]. 612 (((x * y) * z) / (x * z)) * x = x * R(y,x,z). [para(603(a,2),113(a,1,2)),flip(a)]. 613 T(R(x,y,x),y * x) = T(x,y). [para(603(a,2),176(a,1,1))]. 614 R(x,y,x) * (y * x) = (y * x) * T(x,y). [para(603(a,2),325(a,1,1))]. 615 R(T(x,y * x),y,x) = T(x,y). [hyper(189,a,45,a,b,613,a(flip)),flip(a)]. 617 R(R(x,y,x),z,u) * (y * x) = (y * x) * R(T(x,y),z,u). [para(613(a,1),160(a,1,2,1)),flip(a)]. 618 R(T(x,y),y / x,x) = T(x,y / x). [para(19(a,1),615(a,1,1,2))]. 619 (T(x,y * x) * y) * x = T(x,y) * (y * x). [para(615(a,1),110(a,1,1)),flip(a)]. 620 R(x,1 / x,x) = T(x,1 / x). [para(188(a,1),618(a,1,1))]. 621 (x * y) * T(y,x) = (y * x) * y. [hyper(189,a,110,a(flip),b,614,a(flip))]. 622 (x * (y / x)) * x = y * T(x,y / x). [hyper(252,a,621,a),flip(a)]. 623 (T(x,y) * (y * x)) \ ((x * y) * x) = K(y * x,T(x,y)). [hyper(75,a,621,a(flip),b,95,a)]. 625 T(x,1 / x) = (x \ 1) \ 1. [hyper(74,a,485,a(flip),b,622,a(flip))]. 626 T(x,1 / x) = T(x,x \ 1). [hyper(189,a,114,a,b,625,a)]. 627 T(x \ 1,x) = ((x \ 1) \ 1) \ 1. [para(67(a,1),625(a,1,2))]. 628 ((1 / x) * ((x \ 1) \ 1)) / (1 / x) != y | y = x. [para(625(a,1),250(a,1,1,2))]. 629 R(x,1 / x,x) = T(x,x \ 1). [hyper(189,a,620,a,b,626,a(flip)),flip(a)]. 630 (x * T(y,y \ 1)) / x = T((x * y) / x,1 / y). [para(626(a,1),330(a,1,1,2))]. 631 R(R(x,y,z),1 / x,x) = R(T(x,x \ 1),y,z). [para(629(a,1),49(a,1,1)),flip(a)]. 632 T(x,x \ 1) \ 1 = T(x \ 1,x). [hyper(189,a,523,a,b,627,a),flip(a)]. 633 1 / T(x \ 1,x) = (x \ 1) \ 1. [para(627(a,2),67(a,1,2))]. 634 x / L(T(y \ 1,y),T(y,y \ 1),x) = x * T(y,y \ 1). [para(632(a,1),283(a,1,2,1))]. 635 R(T(T(x,y),z),u,w) = T(T(R(x,u,w),z),y). [hyper(189,a,45,a,b,116,a),flip(a)]. 636 ((x \ 1) * y) * ((1 / (x \ 1)) * x) = (x \ (y / (x \ 1))) * x. [hyper(189,a,486,a(flip),b,118,a)]. 637 (x / (y \ 1)) * (y \ z) = (x * (z * y)) / y. [hyper(76,a,90,a(flip),b,120,a(flip)),flip(a)]. 639 R(R(x,y,z),u,w) * (y * z) != v5 | (R(x,u,w) * y) * z = v5. [para(49(a,1),204(a,1,1))]. 641 (x * y) * T(L(z,y,x),u) != w | x * (y * T(z,u)) = w. [para(43(a,1),207(a,1,2))]. 642 (x * y) * R(L(z,y,x),u,w) != v5 | x * (y * R(z,u,w)) = v5. [para(47(a,2),207(a,1,2))]. 643 (x * y) * (K(y,x) * z) != (y * x) * u | L(z,K(y,x),x * y) = u. [para(95(a,1),346(a,1,1)),flip(a)]. 644 (x * y) \ (y * (T(x,y) * z)) != u | L(z,T(x,y),y) = u. [para(113(a,1),355(a,1,1))]. 645 (x * y) \ (x * (z * y)) != u | L(T(z,y),y,x) = u. [para(113(a,1),355(a,1,2,2))]. 646 (x * (y * z)) \ (x * (y * (z * u))) != w | L(L(u,z,y),y * z,x) = w. [para(102(a,1),355(a,1,2,2))]. 647 (x * y) \ (x * (1 / (1 / y))) != z | L(K(y \ 1,y),y,x) = z. [para(474(a,1),355(a,1,2,2))]. 649 ((1 / (1 / x)) * y) / (K(x \ 1,x) * y) != z | R(x,K(x \ 1,x),y) = z. [para(474(a,1),385(a,1,1,1))]. 650 ((x * y) * R(T(z,y),u,w)) / (R(z,u,w) * y) != v5 | R(x,y,R(T(z,y),u,w)) = v5. [para(160(a,1),385(a,1,2))]. 651 (x * ((x \ 1) * y)) * x = y / (x \ 1). [hyper(487,a,476,a)]. 652 (x \ 1) * y != ((x \ 1) * z) * x | z / (x \ 1) = y. [para(476(a,1),22(a,1)),flip(a)]. 653 ((x \ 1) \ y) / (x \ 1) = (x * y) * x. [para(17(a,1),651(a,1,1,2)),flip(a)]. 655 ((x * y) * x) * (x \ 1) = (x \ 1) \ y. [para(653(a,1),19(a,1,1))]. 656 (x \ 1) \ (x \ y) = (y * x) * (x \ 1). [para(17(a,1),655(a,1,1,1)),flip(a)]. 658 (x \ y) / ((y * x) * (x \ 1)) = x \ 1. [para(656(a,1),67(a,1,2))]. 659 (x \ (y / x)) / (y * (x \ 1)) = x \ 1. [para(19(a,1),658(a,1,2,1))]. 660 (x \ 1) \ (x \ y) != z | (y * x) * (x \ 1) = z. [para(658(a,1),236(a,1,1)),flip(b)]. 661 x \ (y / x) != (x \ 1) * z | y * (x \ 1) = z. [para(659(a,1),82(a,1,1)),flip(a),flip(b)]. 662 L((x * y) / x,z,u) = (x * L(y,z,u)) / x. [hyper(88,a,503,a),flip(a)]. 663 L(((x * y) * z) / (x * y),y,x) = (x * (y * z)) / (x * y). [hyper(76,a,102,a(flip),b,503,a),flip(a)]. 664 R(R(x / y,y,z),u,w) * (y * z) = (y * z) * R((y * z) \ (x * z),u,w). [para(111(a,2),510(a,1,1,1))]. 665 (x * R(x \ y,z,u)) * (x \ 1) = R(R(y / x,z,u),x,x \ 1). [para(510(a,1),369(a,1,1))]. 666 (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(218(a,1),510(a,1,1,1)),flip(a)]. 667 T(x,R(T(x,y),z,u)) = x. [hyper(148,a,511,a)]. 668 T(x,R(x,y,z)) = x. [para(112(a,1),667(a,1,2,1))]. 669 ((((x * y) * z) / (x * y)) * x) * y = (x * y) * R(z,x,y). [hyper(204,a,512,a)]. 670 R((x * y) / x,z,u) = (x * R(y,z,u)) / x. [hyper(88,a,512,a),flip(a)]. 671 R((x * y) / x,z,u) \ (x * R(y,z,u)) = x. [hyper(80,a,512,a)]. 672 (x * R(y,z,z \ x)) / (z \ x) = ((x * y) / x) * z. [hyper(76,a,512,a(flip),b,255,a(flip))]. 673 L(x / y,z,u) * y != w | y * L(y \ x,z,u) = w. [para(515(a,1),200(a,1,1)),flip(b)]. 674 T(L(x / y,z,u),y) != w | L(y \ x,z,u) = w. [para(515(a,1),242(a,1,1)),flip(b)]. 675 L((x \ y) / z,z,x) = (z * ((x * z) \ y)) / z. [para(183(a,1),515(a,1,1,2)),flip(a)]. 676 L(T(x,y) / x,x,y) = (x * K(x,y)) / x. [para(584(a,2),515(a,1,1,2)),flip(a)]. 677 ((x * y) * R(L(z,y,x),u,w)) / (x * y) = R((x * (y * z)) / (x * y),u,w). [para(31(a,2),516(a,1,1,2,1))]. 678 ((x / y) * R(y,z,u)) / (x / y) = R(x / (x / y),z,u). [para(69(a,1),516(a,1,1,2,1))]. 679 R(x / y,z,u) * y != w | y * R(y \ x,z,u) = w. [para(516(a,1),200(a,1,1)),flip(b)]. 680 ((x * (y / z)) / x) * z = z * ((x * (z \ y)) / x). [para(546(a,1),113(a,1,2)),flip(a)]. 681 (x * ((y * (x \ z)) / y)) / x = (y * (z / x)) / y. [para(546(a,1),143(a,1,1,2))]. 682 ((x * (y / z)) / x) \ (z * ((x * (z \ y)) / x)) = z. [para(546(a,1),144(a,1,2,2))]. 683 x * ((y * (x \ z)) / y) != u | ((y * (z / x)) / y) * x = u. [para(546(a,1),205(a,1,2))]. 684 (x * K(y \ x,y)) * (y \ 1) = T(x * (y \ 1),y). [para(213(a,2),606(a,1,1))]. 686 T(T(R(x / y,z,u),w),y) = R(T(y \ x,w),z,u). [para(115(a,1),635(a,1,1,1)),flip(a)]. 687 (x * (y * y)) / y = x / (y \ 1). [hyper(138,a,637,a),flip(a)]. 688 (x / (y \ 1)) * y = x * (y * y). [para(687(a,1),19(a,1,1))]. 690 L((x * y) / x,z,u) * x != w | x * L(y,z,u) = w. [para(662(a,2),200(a,1,1)),flip(b)]. 691 L((x * (y \ (z \ u))) / x,y,z) = (x * ((z * y) \ u)) / x. [para(183(a,1),662(a,2,1,2))]. 692 L((x * (y \ 1)) / x,y,z / y) = (x * (z \ (z / y))) / x. [para(279(a,1),662(a,2,1,2))]. 693 L((x * (y \ z)) / x,y,1 / y) = (x * ((1 / y) * z)) / x. [para(361(a,1),662(a,2,1,2))]. 694 L((x * ((y \ z) \ u)) / x,y \ z,y) = (x * (z \ (y * u))) / x. [para(359(a,1),662(a,2,1,2))]. 695 R((x * (1 / y)) / x,y,z) = (x * (z / (y * z))) / x. [para(141(a,1),670(a,2,1,2))]. 696 R((x * ((y / z) / u)) / x,u,z) = (x * (y / (u * z))) / x. [para(187(a,1),670(a,2,1,2))]. 698 R((x * (y / z)) / x,z,z \ 1) = (x * (y * (z \ 1))) / x. [para(445(a,1),670(a,2,1,2))]. 699 ((x * R(y,z,u)) / x) * (z * u) != w | (((x * y) / x) * z) * u = w. [para(670(a,1),204(a,1,1))]. 700 x \ ((x * (1 / y)) * y) = a(x,1 / y,y). [para(15(a,1),94(a,1,1))]. 701 (x * y) \ (y * T(x,y / x)) = a(x,y / x,x). [para(622(a,1),94(a,1,2))]. 702 x \ R(x,1 / y,y) = a(x,1 / y,y). [para(589(a,1),700(a,1,2))]. 703 T(((x * y) * x) / (x * y),y) = R(x,y,T(x,y)). [hyper(189,a,330,a(flip),b,156,a(flip)),flip(a)]. 704 a(1 / (x * y),x,y) \ R((1 / (x * y)) * x,y,y \ 1) = y \ 1. [para(167(a,1),374(a,1,1))]. 705 (x * y) * R((x * y) \ x,z,u) = x * (y * R(y \ 1,z,u)). [para(281(a,2),102(a,1,2))]. 706 R((x * y) \ x,y,y \ 1) = L(T(y \ 1,y),y,x). [para(520(a,1),281(a,2,1))]. 707 L(L(x \ 1,y * x,z),x,y) = (z * (y * x)) \ (z * y). [hyper(189,a,104,a(flip),b,282,a)]. 708 L((x * y) \ x,y,1 / y) = L(1 / y,y,x). [para(277(a,1),282(a,1,1)),flip(a)]. 709 (x * y) * L((x * y) \ x,z,u) = x * (y * L(y \ 1,z,u)). [para(282(a,1),102(a,1,2))]. 710 (1 / x) * (x * ((y * x) \ y)) = L(1 / x,x,y). [hyper(306,a,708,a)]. 712 (x * y) * T((x * y) \ (x * z),u) = x * (y * T(y \ z,u)). [para(104(a,1),350(a,1,2,1))]. 713 (x * y) * T((x * y) \ z,u) = x * (y * T(y \ (x \ z),u)). [para(183(a,1),350(a,1,2,1))]. 714 (x * y) * T((y * T(x,y)) \ y,z) = y * (T(x,y) * T(T(x,y) \ 1,z)). [para(280(a,2),353(a,1,2))]. 715 L(T(T(x,y) \ z,u),T(x,y),y) = T((x * y) \ (y * z),u). [para(365(a,1),43(a,2,1))]. 716 L(R(T(x,y) \ z,u,w),T(x,y),y) = R((x * y) \ (y * z),u,w). [para(365(a,1),47(a,1,1)),flip(a)]. 717 L(L(T(x,y) \ z,u,w),T(x,y),y) = L((x * y) \ (y * z),u,w). [para(365(a,1),48(a,1,1)),flip(a)]. 718 T((x * y) / (z * y),u) * (z * y) = (T(x / z,u) * z) * y. [para(111(a,1),380(a,1,1,1))]. 719 (T((x / y) / z,u) * z) * y = T(x / (z * y),u) * (z * y). [para(187(a,1),380(a,1,1,1)),flip(a)]. 720 R(T(x / y,y * z),y,z) = (y * z) \ (x * z). [hyper(307,a,392,a),flip(a)]. 721 R(T(x / y,y * z),y,z) != u | (y * z) \ (x * z) = u. [para(392(a,1),307(a,1))]. 722 (x / y) * (y * T(y \ 1,z)) = x * T(x \ (x / y),z). [para(415(a,2),345(a,1,2)),flip(a)]. 723 R(T(1 / x,y),x,x \ y) = y \ (x \ y). [hyper(307,a,417,a),flip(a)]. 724 T((x \ y) / y,z) * y = (T(1 / x,z) * x) * (x \ y). [para(417(a,2),255(a,1,1))]. 726 ((x * y) * z) * K(y * z,R(x,y,z)) != u * w | u \ ((y * z) * R(x,y,z)) = w. [para(110(a,1),429(a,1,1))]. 727 (1 / x) \ T((1 / x) * y,z) = x * T(x \ y,z). [hyper(75,a,440,a(flip),b,169,a)]. 728 L(L(T(x \ 1,y),x,z),z * x,1 / (z * x)) = T((1 / (z * x)) * z,y). [para(280(a,1),440(a,1,1))]. 729 (x \ 1) * T((x \ 1) \ y,z) = x \ T(x * y,z). [hyper(75,a,443,a(flip),b,166,a),flip(a)]. 730 R(x,T(y,x),T(z,y * x)) \ (z * (y * x)) = T(y,x) * T(z,y * x). [para(129(a,1),450(a,1,1,1))]. 731 T(x * (y \ 1),z) / (y \ 1) = T(x / y,z) * y. [hyper(76,a,462,a(flip),b,369,a)]. 732 ((x * y) \ x) * (x * y) = x * (y * T(y \ 1,x * y)). [para(140(a,1),498(a,2,1)),flip(a)]. 734 R(T(x,T(y,x) * z),T(y,x),z) = (T(y,x) * z) \ ((y * x) * z). [para(113(a,1),507(a,1,2,1)),flip(a)]. 735 T(x,y) * (x \ z) != u | (x \ z) * T((x \ z) \ z,y) = u. [para(67(a,1),544(a,1,1,1))]. 736 T(T((x * y) / x,z),y * x) = L(T(y,z),x,y). [hyper(189,a,43,a,b,566,a)]. 737 x * R(L(T(y,x),z,u),w,w \ x) = (L(y,z,u) * w) * (w \ x). [para(43(a,2),568(a,1,2,1))]. 738 T(x / (1 / y),z) * (1 / y) = T(x * y,z) / y. [hyper(76,a,596,a(flip),b,589,a),flip(a)]. 739 T(((1 / x) * y) * x,1 / x) = R(y,1 / x,x). [para(142(a,1),596(a,1,1)),flip(a)]. 740 ((x * (y \ z)) / z) * y = y * R(y \ x,y,y \ z). [para(604(a,1),113(a,1,2)),flip(a)]. 741 R(1 / x,x,x \ y) != z | (x \ y) / y = z. [para(609(a,1),138(a,1))]. 742 R(x,y,z) \ R(T(x,x \ 1),y,z) = a(R(x,y,z),1 / x,x). [para(631(a,1),702(a,1,2))]. 743 L((x \ (T(x,y) * y)) / y,y,x) = (y * K(T(x,y),y)) / y. [para(152(a,1),675(a,2,1,2))]. 744 ((x / y) * ((y \ z) \ z)) / (x / y) = T(x / (x / y),y \ z). [hyper(76,a,220,a(flip),b,327,a)]. 745 (1 / (1 / x)) \ L(y,x \ 1,x) = (1 / x) * y. [hyper(75,a,166,a(flip),b,473,a)]. 746 (x / (1 / y)) * z != y * ((y \ x) * u) | (1 / y) * u = z. [para(473(a,1),22(a,1)),flip(a)]. 748 (x * (y / x)) * x != z | (x \ 1) \ y = z. [para(491(a,1),135(a,1)),flip(b)]. 750 T(x,L(L(x,y,z),u,w)) = x. [hyper(148,a,504,a)]. 751 ((x / (1 / y)) * y) * (y \ 1) = x * y. [hyper(661,a,550,a)]. 752 (x * (1 / y)) * y = (x * y) * (y \ 1). [para(18(a,1),751(a,1,1,1)),flip(a)]. 753 x \ ((y * x) * (x \ 1)) = T(y * (1 / x),x). [hyper(147,a,752,a,b,17,a),flip(a)]. 755 (((1 / x) * y) * x) * (x \ 1) = (x \ (y * (1 / x))) * x. [para(483(a,1),752(a,1,1)),flip(a)]. 756 T((x * y) * (1 / x),x) = x \ ((x \ 1) \ y). [para(655(a,1),753(a,1,2)),flip(a)]. 757 T((x * y) / x,1 / y) = T((x * y) / x,y \ 1). [hyper(332,a,630,a),flip(a)]. 758 R((x * (y / z)) / x,z,z \ 1) / (z \ 1) = z * ((x * (z \ y)) / x). [hyper(189,a,373,a,b,680,a(flip)),flip(a)]. 759 ((x * R(y / z,z,u)) / x) * (z * u) = (z * u) * ((x * ((z * u) \ (y * u))) / x). [para(111(a,2),680(a,1,1,1,2))]. 760 (x * ((y * z) / y)) / x = (y * ((x * z) / x)) / y. [para(16(a,1),681(a,1,1,2,1,2))]. 761 ((x * (y / z)) / x) * z != u | z * ((x * (z \ y)) / x) = u. [para(681(a,1),200(a,1,1)),flip(b)]. 762 ((x * (y / (y / z))) / x) \ ((y / z) * ((x * z) / x)) = y / z. [para(69(a,1),682(a,1,2,2,1,2))]. 763 T(T((x * y) / (z * y),u),z) = R(T(z \ x,u),z,y). [para(111(a,1),686(a,1,1,1))]. 764 R(T(x \ y,x * z),x,z) = T((x * z) \ (y * z),x). [para(393(a,1),686(a,1,1)),flip(a)]. 765 (1 / x) \ T(1 / x,y) = x * T(x \ 1,y). [para(15(a,1),727(a,1,2,1))]. 766 x * T(x \ ((1 / x) \ y),z) = (1 / x) \ T(y,z). [para(17(a,1),727(a,1,2,1)),flip(a)]. 767 x \ T(x * (y * (x \ 1)),z) = T(y,z) * (x \ 1). [hyper(571,a,729,a),flip(a)]. 768 x \ T(x * y,x \ 1) = ((x \ 1) \ y) * (x \ 1). [hyper(205,a,729,a),flip(a)]. 769 (x \ 1) \ (x \ T(x * y,z)) = T((x \ 1) \ y,z). [hyper(80,a,729,a)]. 770 (x \ 1) * T((x \ 1) \ 1,y) = x \ T(x,y). [para(15(a,1),729(a,2,2,1))]. 771 (x \ 1) * T((x \ 1) \ (x \ y),z) = x \ T(y,z). [para(17(a,1),729(a,2,2,1))]. 772 x \ T(x * y,x \ 1) != z | ((x \ 1) \ y) * (x \ 1) = z. [para(729(a,1),205(a,1))]. 773 T(x,y) * (x \ 1) = x \ T(x,y). [hyper(189,a,326,a(flip),b,770,a(flip)),flip(a)]. 774 T(x,y) * R(T(x,y) \ 1,T(x,y),x \ 1) = ((x \ 1) / (x \ T(x,y))) * T(x,y). [para(773(a,1),522(a,1,1,2)),flip(a)]. 775 (x * y) \ (y * (x \ T(x,y))) = L(x \ 1,T(x,y),y). [para(773(a,1),153(a,1,2,2))]. 776 T(x * (y \ 1),z) / (y \ 1) = y * T(y \ x,z). [hyper(189,a,323,a(flip),b,731,a)]. 777 T(((1 / x) * y) * x,z) / x = (1 / x) * T(y,z). [hyper(547,a,738,a),flip(a)]. 778 (1 / x) * T((1 / x) \ y,z) = T(y * x,z) / x. [hyper(544,a,738,a)]. 779 T(x * y,1 / y) / y = ((1 / y) \ x) * (1 / y). [para(115(a,1),738(a,1,1)),flip(a)]. 780 T((x * T(y,x)) / x,T(y,x) \ 1) = T(y,1 / T(y,x)). [para(143(a,1),757(a,1,1)),flip(a)]. 781 ((1 / x) \ y) \ ((1 / x) \ T(y,x)) = K(x \ ((1 / x) \ y),x). [para(766(a,1),320(a,1,2))]. 782 x \ T(x * y,x \ 1) = (x \ 1) \ (y / x). [hyper(189,a,478,a(flip),b,768,a)]. 783 ((x \ 1) \ (x \ y)) * (x \ 1) = x \ T(y,x \ 1). [para(17(a,1),768(a,1,2,1)),flip(a)]. 784 (x \ 1) * (x \ T(x * y,x \ 1)) = y / x. [para(782(a,2),17(a,1,2))]. 785 (x \ 1) * T((x \ 1) \ y,z) != u | x \ T(x * y,z) = u. [para(769(a,1),203(a,1,2)),flip(b)]. 786 (x \ T(y,z)) / (x \ 1) = T((x \ y) / (x \ 1),z). [hyper(76,a,771,a(flip),b,323,a)]. 787 (x \ T(y,x \ 1)) / (x \ 1) = (x \ 1) \ (x \ y). [hyper(76,a,771,a(flip),b,113,a(flip))]. 788 T(x * ((y \ 1) \ 1),z) / ((y \ 1) \ 1) = y \ T(y * x,z). [hyper(189,a,729,a(flip),b,776,a)]. 789 T(x \ 1,y) / (x \ 1) = x * T(x \ 1,y). [para(14(a,1),776(a,1,1,1))]. 790 x * T(x \ (y / (x \ 1)),z) = T(y,z) / (x \ 1). [para(19(a,1),776(a,1,1,1)),flip(a)]. 791 T(((1 / x) * y) * x,z) = ((1 / x) * T(y,z)) * x. [para(777(a,1),19(a,1,1)),flip(a)]. 792 (1 / x) * T((1 / x) \ 1,y) = T(x,y) / x. [para(61(a,1),777(a,1,1,1)),flip(a)]. 793 (1 / x) * T(x,y) = T(x,y) / x. [para(68(a,1),777(a,1,1,1)),flip(a)]. 794 T(x,y) \ (T(x,y) / x) = T(1 / x,T(x,y)). [hyper(147,a,793,a,b,17,a),flip(a)]. 795 (T(x,y) / x) / T(x,y) = 1 / x. [hyper(88,a,793,a)]. 796 T(x,x \ y) / x = (1 / x) * ((x \ y) \ y). [hyper(189,a,220,a(flip),b,793,a(flip))]. 797 (T(x,y) / x) / (1 / x) = T(1 / (1 / x),y). [hyper(76,a,793,a(flip),b,327,a)]. 799 T((T(x,y) * (1 / x)) / T(x,y),T(x,y) / x) = L(1 / x,T(x,y),1 / x). [para(793(a,1),563(a,1,2))]. 801 L(x \ 1,x,T(x,y) / x) = T(1 / x,T(x,y)). [hyper(537,a,794,a)]. 802 (1 / x) * ((x \ y) \ y) = ((x \ y) \ y) / x. [para(114(a,1),796(a,1,1)),flip(a)]. 803 ((x \ y) / (y / x)) / (1 / (y / x)) = T(1 / (1 / (y / x)),x). [para(115(a,1),797(a,1,1,1))]. 804 ((1 / x) \ (y / x)) * (1 / x) = T(y,1 / x) / x. [para(19(a,1),779(a,1,1,1)),flip(a)]. 805 (x \ R(T(y,x \ 1),z,u)) / (x \ 1) = (x \ 1) \ (x \ R(y,z,u)). [para(45(a,2),787(a,1,1,2))]. 806 (x \ (y / (x \ 1))) * x = T(y,x) / (x \ 1). [hyper(205,a,790,a)]. 807 T(((1 / x) * y) * x,z) != u * x | (1 / x) * T(y,z) = u. [para(791(a,2),23(a,1))]. 808 K(x,1 / x) \ (x * (T(x,y) / x)) = L(T(x,y),1 / x,x). [para(793(a,1),231(a,1,2,2))]. 809 (x * y) * R((x * y) \ (x * z),u,w) = x * (y * R(y \ z,u,w)). [para(104(a,1),351(a,1,2,1))]. 810 (x * y) * R((x * y) \ z,u,w) = x * (y * R(y \ (x \ z),u,w)). [para(183(a,1),351(a,1,2,1))]. 811 (x * y) * L((x * y) \ z,u,w) = x * (y * L(y \ (x \ z),u,w)). [para(183(a,1),352(a,1,2,1))]. 812 (x * y) * L(T(x,x * y),z,u) = x * (y * L(T(x,y),z,u)). [para(554(a,1),352(a,1,2,1))]. 813 K(x \ 1,x) * L(x \ y,x,x \ 1) = (x \ 1) * y. [hyper(189,a,89,a(flip),b,354,a)]. 814 (L(x,y,z) * u) * w != v5 * (u * w) | L(R(x,u,w),y,z) = v5. [para(381(a,1),23(a,1))]. 815 L((x * y) / (z * y),u,w) * (z * y) = (L(x / z,u,w) * z) * y. [para(111(a,1),381(a,1,1,1))]. 816 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(773(a,1),399(a,1,1,1))]. 817 (x \ 1) * L((x \ 1) \ y,z,u) = x \ L(x * y,z,u). [para(362(a,1),402(a,1,2,1)),flip(a)]. 818 (1 / x) \ L(L(y,x,1 / x),z,u) != x * w | L(y,z,u) = w. [para(403(a,2),22(a,1))]. 819 (1 / x) \ L(1 / x,y,z) = x * L(x \ 1,y,z). [para(277(a,1),403(a,1,2,1))]. 820 (1 / x) * (x * R(x \ y,z,u)) = R((1 / x) * y,z,u). [hyper(306,a,441,a)]. 821 L(L(T(x \ 1,x),x,y),y * x,1 / (y * x)) = R((1 / (y * x)) * y,x,x \ 1). [para(706(a,1),441(a,1,1))]. 822 (1 / x) * (x * L(x \ y,z,u)) = L((1 / x) * y,z,u). [hyper(306,a,442,a)]. 823 (x \ 1) * R((x \ 1) \ y,z,u) = x \ R(x * y,z,u). [hyper(75,a,444,a(flip),b,166,a),flip(a)]. 824 L(x * (y \ 1),z,u) / (y \ 1) = L(x / y,z,u) * y. [hyper(76,a,463,a(flip),b,369,a)]. 825 L(T(T((x \ y) \ z,u),w),x \ y,x) = T(T(y \ (x * z),u),w). [para(582(a,1),43(a,2,1))]. 826 x * ((x \ y) * T((x \ y) \ z,u)) = y * T(y \ (x * z),u). [para(582(a,1),344(a,1,2)),flip(a)]. 827 R(x / (1 / y),z,u) * (1 / y) = R(x * y,z,u) / y. [para(593(a,1),594(a,1,1,1)),flip(a)]. 828 (x / y) * R((x / y) \ z,x / y,y) != u | ((z * y) / x) * (x / y) = u. [para(598(a,2),205(a,1,2))]. 829 (x * ((y \ x) / x)) / (y \ x) = ((x * (1 / y)) / x) * y. [para(286(a,1),672(a,1,1,2))]. 830 ((x / y) * (y / ((x / y) * y))) / (x / y) = (((x / y) * (1 / (x / y))) * y) / x. [hyper(189,a,391,a(flip),b,695,a(flip))]. 831 ((x * (y / (z * y))) / x) * (z * y) = (((x * (1 / z)) / x) * z) * y. [para(695(a,1),110(a,1,1))]. 832 T((x * y) \ ((x * z) * y),x) = R(T(z,x * y),x,y). [para(16(a,1),764(a,1,1,1)),flip(a)]. 833 K(x \ 1,x) * y != (x \ 1) * z | L(x \ z,x,x \ 1) = y. [para(813(a,1),22(a,1)),flip(a)]. 834 x * R(T(y,y * x),z,u) = L(R(y,z,u),x,y) * x. [para(558(a,1),501(a,1,2))]. 835 R(T(x,x \ y),z,u) = R((x \ y) \ y,z,u). [hyper(20,a,160,a,b,513,a),flip(a)]. 836 x \ R(T(y,y \ z),u,w) = x \ R((y \ z) \ z,u,w). [hyper(75,a,835,a,b,17,a)]. 838 (x * y) * T((x * y) \ (x * z),u) != w | x * (y * T(y \ z,u)) = w. [para(104(a,1),641(a,1,2,1))]. 840 (x / y) \ (x * T(x \ (x / y),z)) = y * T(y \ 1,z). [hyper(80,a,722,a)]. 841 (x / y) \ (x * T(x \ (x / y),z)) != u | y * T(y \ 1,z) = u. [para(722(a,1),237(a,1,2)),flip(b)]. 842 (x / y) * K(y \ 1,y) = x * T(x \ (x / y),y). [para(229(a,1),722(a,1,2))]. 843 (T(1 / x,y) * x) * (x \ z) = z * T(z \ (x \ z),y). [hyper(544,a,724,a),flip(a)]. 844 K((x * y) \ x,x * y) = y * T(y \ 1,x * y). [hyper(334,a,732,a)]. 845 K((x * y) \ x,x * y) / y = T(1 / y,x * y). [hyper(76,a,844,a,b,323,a)]. 846 (((1 / x) * y) * x) * (x \ 1) = x \ y. [hyper(189,a,471,a(flip),b,755,a)]. 847 (x \ y) / (x \ 1) = ((1 / x) * y) * x. [hyper(76,a,471,a(flip),b,755,a)]. 848 x \ ((1 / x) \ y) = (y * x) * (x \ 1). [para(17(a,1),846(a,1,1,1)),flip(a)]. 851 x \ ((1 / x) \ y) = R(y,x,x \ 1). [hyper(189,a,369,a(flip),b,848,a)]. 852 x * ((y * x) * (x \ 1)) = (1 / x) \ y. [para(848(a,1),17(a,1,2))]. 853 T(x,1 / T(x,y)) = T(x,T(x,y) \ 1). [para(143(a,1),780(a,1,1)),flip(a)]. 854 (x \ 1) * L((x \ 1) \ 1,y,z) = x \ L(x,y,z). [para(15(a,1),817(a,2,2,1))]. 855 (1 / x) * (x * R(x \ 1,y,z)) = R(1 / x,y,z). [para(15(a,1),820(a,2,1))]. 856 (1 / x) * (((y * (x \ z)) / z) * x) = R((1 / x) * y,x,x \ z). [para(740(a,2),820(a,1,2))]. 857 (1 / x) \ R(1 / x,y,z) = x * R(x \ 1,y,z). [hyper(80,a,855,a)]. 858 (x / y) * R((x / y) \ 1,x / y,y) = (1 / (x / y)) \ (y / x). [hyper(75,a,287,a(flip),b,855,a),flip(a)]. 859 (1 / x) \ R(1 / x,y,z) != u | x * R(x \ 1,y,z) = u. [para(855(a,1),237(a,1,2)),flip(b)]. 860 (1 / x) * ((y / (x * y)) * x) = R(1 / x,x,y). [para(522(a,2),855(a,1,2))]. 861 ((x \ y) / y) / (((x \ y) / (x * (x \ y))) * x) = 1 / x. [hyper(76,a,286,a(flip),b,860,a)]. 862 (x / (y * x)) / ((x / (y * x)) * y) = 1 / y. [hyper(76,a,141,a(flip),b,860,a)]. 863 ((x / (y * x)) * y) \ (x / (y * x)) = T(1 / y,(x / (y * x)) * y). [para(862(a,1),115(a,1,1)),flip(a)]. 864 L((1 / x) * (y * x),z,u) = (1 / x) * (L(y,z,u) * x). [para(500(a,1),822(a,1,2)),flip(a)]. 865 (x \ 1) * R((x \ 1) \ 1,y,z) = x \ R(x,y,z). [para(15(a,1),823(a,2,2,1))]. 866 x \ R(x * (y * (x \ 1)),z,u) = (x \ 1) * R(T(y,x \ 1),z,u). [para(35(a,2),823(a,1,2,1)),flip(a)]. 867 R(x,y,z) * (x \ 1) = x \ R(x,y,z). [hyper(189,a,513,a(flip),b,865,a(flip)),flip(a)]. 868 R(x,y,z) \ (x \ R(x,y,z)) = x \ 1. [hyper(75,a,865,a(flip),b,513,a(flip))]. 869 ((1 / x) * R(x,y,z)) * x = R(x,y,z). [hyper(21,a,846,a,b,867,a),flip(a)]. 870 (x \ R(x,y,z)) / R(T(x,x \ 1),y,z) = x \ 1. [hyper(76,a,867,a(flip),b,160,a)]. 871 (x \ R(x,y,z)) * K(x \ 1,R(x,y,z)) = (x \ 1) * R(x,y,z). [para(867(a,1),95(a,1,1))]. 872 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(867(a,1),522(a,1,1,2)),flip(a)]. 873 T((R(x,y,z) * (1 / x)) / R(x,y,z),x) = (x \ R(x,y,z)) / R(x,y,z). [para(867(a,1),546(a,2,1))]. 875 (1 / x) * R(x,y,z) = R(x,y,z) / x. [hyper(88,a,869,a),flip(a)]. 876 R(x \ 1,y,z) / (x \ 1) = x * R(x \ 1,y,z). [hyper(456,a,875,a),flip(a)]. 877 R(x,y,z) \ (R(x,y,z) / x) = T(1 / x,R(x,y,z)). [hyper(147,a,875,a,b,17,a),flip(a)]. 878 (R(x,y,z) / x) / R(x,y,z) = 1 / x. [hyper(88,a,875,a)]. 879 R(x,y,z) / x != R(x,y,z) * u | T(1 / x,R(x,y,z)) = u. [para(875(a,1),148(a,2)),flip(a)]. 880 L(R(x,y,z) \ u,R(x,y,z),1 / x) = (R(x,y,z) / x) \ ((1 / x) * u). [para(875(a,1),104(a,2,1))]. 881 (1 / x) * R(x,y,z) != u | R(x,y,z) / x = u. [para(878(a,1),200(a,1,1)),flip(b)]. 882 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(877(a,1),587(a,1,1,2))]. 883 L(x * (y \ 1),z,u) / (y \ 1) = y * L(y \ x,z,u). [hyper(189,a,502,a(flip),b,824,a)]. 884 (1 / x) * R((1 / x) \ y,z,u) = R(y * x,z,u) / x. [hyper(679,a,827,a)]. 885 (x * ((y \ x) / x)) / (y \ x) = y * ((x * (y \ 1)) / x). [hyper(189,a,680,a(flip),b,829,a)]. 886 K(x \ (x / y),x) = y * T(y \ 1,x). [hyper(575,a,840,a)]. 887 x \ K(y \ (y / x),y) = T(x \ 1,y). [hyper(75,a,320,a(flip),b,840,a(flip))]. 888 x * T(x \ 1,y) != z | K(y \ (y / x),y) = z. [para(840(a,1),575(a,1))]. 889 K(x \ (x / (1 / y)),x) = T(y,x) / y. [hyper(189,a,792,a(flip),b,886,a)]. 890 K(x \ (x / (y \ 1)),x) = y \ T(y,x). [hyper(189,a,770,a(flip),b,886,a)]. 891 K(x \ (x / y),x) / y = T(1 / y,x). [hyper(76,a,886,a,b,323,a)]. 892 (x \ y) \ K(y \ x,y) = T((x \ y) \ 1,y). [para(67(a,1),887(a,1,2,1,2))]. 894 T(x,y) = K(y \ (y / (1 / x)),y) * x. [para(889(a,2),19(a,1,1)),flip(a)]. 895 K(x \ (x / (1 / (y / (x * y)))),x) = R(x \ 1,x,y) / (y / (x * y)). [para(517(a,1),889(a,2,1))]. 896 K(x \ (x / ((y / x) \ 1)),x) = (y / x) \ (x \ y). [para(115(a,1),890(a,2,2))]. 897 K(x \ (x / (((x * y) / x) \ 1)),x) = ((x * y) / x) \ y. [para(142(a,1),890(a,2,2))]. 898 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(876(a,1),890(a,1,1,2))]. 899 T(x,y) / x != z | K(y \ (y / (1 / x)),y) = z. [para(894(a,2),248(a,1,1)),flip(b)]. 900 T(((x * y) \ x) \ 1,x) = ((x * y) \ x) \ K(y,x). [para(16(a,1),892(a,1,2,1)),flip(a)]. 901 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(868(a,1),896(a,2,2))]. 902 T(((x * y) \ x) \ 1,x) = L(y \ 1,y,x) \ K(y,x). [hyper(189,a,573,a,b,900,a)]. 903 K(x,y) = ((y * x) \ y) * T(((y * x) \ y) \ 1,y). [para(900(a,2),17(a,1,2)),flip(a)]. 905 T(L(x \ 1,x,y) \ 1,y) = ((y * x) \ y) \ K(x,y). [para(140(a,2),900(a,1,1,1))]. 906 K(x,y) = L(x \ 1,x,y) * T(L(x \ 1,x,y) \ 1,y). [para(905(a,2),312(a,1,2)),flip(a)]. 907 (((x * y) \ x) \ K(y,x)) / (L(y \ 1,y,x) \ 1) = L(y \ 1,y,x) * T(L(y \ 1,y,x) \ 1,x). [para(905(a,1),789(a,1,1))]. 908 ((x \ 1) * x) * (x \ y) = y * T(y \ (x \ y),x). [para(115(a,1),843(a,1,1,1))]. 909 (x * T(x \ 1,y)) * (x \ z) = z * T(z \ (x \ z),y). [para(323(a,1),843(a,1,1))]. 910 K(x \ 1,x) * (x \ y) = y * T(y \ (x \ y),x). [para(165(a,2),908(a,1,1))]. 911 ((x \ y) / y) / (((x \ y) / y) * x) = 1 / x. [para(17(a,1),861(a,1,2,1,2))]. 912 (1 / x) \ ((x \ y) / y) = ((x \ y) / y) * x. [para(911(a,1),69(a,1,1))]. 914 L(x * y,z,u) / ((1 / y) \ 1) = (1 / y) * L((1 / y) \ x,z,u). [para(69(a,1),883(a,1,1,1,2))]. 915 (1 / x) * R((1 / x) \ 1,y,z) = R(x,y,z) / x. [para(14(a,1),884(a,2,1,1))]. 916 T((x * y) / x,K(x \ (x / (((x * y) / x) \ 1)),x)) != z | (((x * y) / x) \ y) \ y = z. [para(897(a,2),315(a,1,2))]. 917 (x * T(x \ (y \ x),z)) / (y \ x) != u | y * T(y \ 1,z) = u. [para(909(a,1),248(a,1,1)),flip(b)]. 918 (x \ T(x,y)) * ((x \ 1) \ z) = z * T(z \ ((x \ 1) \ z),y). [para(770(a,1),909(a,1,1))]. 919 ((x \ 1) * L((x \ 1) \ y,z,u)) * T(x,x \ 1) = R(L(y / (x \ 1),z,u),x \ 1,(x \ 1) \ 1). [para(502(a,1),448(a,1,1))]. 921 x * (y * R(T(x,y),z,u)) = R(x,z,u) * (x * y). [hyper(189,a,351,a(flip),b,560,a(flip)),flip(a)]. 922 R(x,y,z) * (x * u) = x * (R(x,y,z) * u). [para(160(a,1),921(a,1,2)),flip(a)]. 923 (R(x,y,z) * u) / (R(x,y,z) * (x \ u)) = x. [hyper(424,a,922,a)]. 924 x * (R(x,y,z) * (x \ u)) = R(x,y,z) * u. [hyper(254,a,922,a),flip(a)]. 925 x * (R(x,y,z) \ 1) = R(x,y,z) \ x. [hyper(75,a,62,a(flip),b,922,a),flip(a)]. 927 x * (R(x,y,z) * T(u,x)) = R(x,y,z) * (u * x). [para(113(a,1),922(a,1,2)),flip(a)]. 928 (R(x,y,z) * u) \ (x * (R(x,y,z) * u)) = L(T(x,u),u,R(x,y,z)). [para(922(a,1),154(a,1,2))]. 929 L(R(x,y,z) \ 1,x,1 / x) = (1 / x) * (R(x,y,z) \ x). [para(925(a,1),169(a,1,2)),flip(a)]. 930 R(x,y,x) * T(y,x) = T(x * y,x). [hyper(147,a,110,a(flip),b,927,a),flip(a)]. 931 x * ((x \ y) * L((x \ y) \ z,u,w)) = y * L(y \ (x * z),u,w). [para(359(a,1),576(a,1,2,1)),flip(a)]. 932 (x / y) * (y * L(y \ 1,z,u)) = x * L(x \ (x / y),z,u). [para(279(a,1),580(a,1,2,1)),flip(a)]. 933 (x / y) * (y * L(y \ z,u,w)) = x * L(x \ ((x / y) * z),u,w). [para(364(a,1),580(a,1,2,1)),flip(a)]. 934 x * ((x \ y) * R((x \ y) \ z,u,w)) = y * R(y \ (x * z),u,w). [para(583(a,1),344(a,1,2)),flip(a)]. 935 (x * y) * R(T(y,x),z,u) = (R(y,z,u) * x) * y. [hyper(189,a,382,a(flip),b,617,a(flip))]. 936 (x * y) * ((z * ((x * y) \ u)) / z) = x * (y * ((z * (y \ (x \ u))) / z)). [para(691(a,1),102(a,1,2))]. 938 (x / y) * (y * ((z * (y \ 1)) / z)) = x * ((z * (x \ (x / y))) / z). [para(692(a,1),345(a,1,2)),flip(a)]. 939 (1 / x) \ ((y * ((1 / x) * z)) / y) = x * ((y * (x \ z)) / y). [hyper(75,a,693,a(flip),b,169,a)]. 940 (x * y) * T((x * y) \ (y * z),u) = y * (T(x,y) * T(T(x,y) \ z,u)). [para(715(a,1),353(a,1,2))]. 941 (x / y) \ T(x,(x / y) \ 1) != z | (((x / y) \ 1) \ y) * ((x / y) \ 1) = z. [para(19(a,1),772(a,1,2,1))]. 942 (x \ 1) \ (y / x) != z | ((x \ 1) \ y) * (x \ 1) = z. [para(782(a,1),772(a,1))]. 943 ((x * y) * (z * u)) / ((y * z) * L(u,z,x * y)) = R(R(x,y,z),y * z,L(u,z,x * y)). [para(102(a,1),378(a,1,1))]. 944 x * L(T(T((y \ x) \ x,z),u),y \ x,y) = y * (T(T(y,z),u) * (y \ x)). [para(534(a,1),344(a,2,2))]. 945 ((((x * y) / x) \ z) \ z) * x != x * u | T(y,((x * y) / x) \ z) = u. [para(543(a,2),22(a,1))]. 946 (x \ (y / (x \ 1))) * x = ((x \ 1) * y) * (x * x). [para(67(a,1),636(a,1,2,1)),flip(a)]. 948 (x * y) * R((x * y) \ (x * z),u,w) != v5 | x * (y * R(y \ z,u,w)) = v5. [para(104(a,1),642(a,1,2,1))]. 951 (x * y) * T((x * y) \ (z * y),u) = (T(z / x,u) * x) * y. [hyper(544,a,718,a)]. 952 T(1 / (1 / x),x \ 1) = x. [hyper(628,a,744,a)]. 953 T(T(1 / (1 / x),y),x \ 1) = T(x,y). [para(952(a,1),41(a,1,1)),flip(a)]. 954 T(1 / (1 / (1 / x)),x) = 1 / x. [para(69(a,1),952(a,1,2))]. 955 (1 / (1 / (1 / x))) * x = x * (1 / x). [para(954(a,1),113(a,1,2)),flip(a)]. 957 ((x * (y / (y / T(z,x)))) / x) \ ((y / T(z,x)) * z) = y / T(z,x). [para(143(a,1),762(a,1,2,2))]. 958 (((x * y) \ y) / (y / (x * y))) / (1 / (y / (x * y))) = T(1 / (1 / R(1 / x,x,y)),x * y). [para(141(a,2),803(a,2,1,2,2))]. 959 x * (y * L(T(x,y),z,u)) = L(x,z,u) * (x * y). [hyper(303,a,812,a),flip(a)]. 960 L(x,y,z) * (x * u) = x * (L(x,y,z) * u). [para(159(a,1),959(a,1,2)),flip(a)]. 961 x \ (L(x,y,z) * u) = L(x,y,z) * (x \ u). [hyper(432,a,960,a)]. 962 L(x,y,z) * (x \ 1) = x \ L(x,y,z). [hyper(299,a,960,a),flip(a)]. 963 L(x,y,z) \ (x * u) = x * (L(x,y,z) \ u). [hyper(75,a,89,a(flip),b,960,a)]. 964 x * (L(x,y,z) \ 1) = L(x,y,z) \ x. [hyper(75,a,62,a(flip),b,960,a),flip(a)]. 965 ((x * y) * L(x,z,u)) \ (x * (L(x,z,u) * y)) = K(L(x,z,u),x * y). [hyper(75,a,960,a(flip),b,95,a)]. 967 (L(x,y,z) * u) \ (x * (L(x,y,z) * u)) = L(T(x,u),u,L(x,y,z)). [para(960(a,1),154(a,1,2))]. 968 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(962(a,1),522(a,1,1,2)),flip(a)]. 969 (L(x,y,z) \ x) \ ((L(x,y,z) \ 1) * x) = K(L(x,y,z) \ 1,x). [para(964(a,1),29(a,2,1)),flip(a)]. 970 L(x \ 1,y,z) \ K(x \ 1,x) = (x \ 1) * (L(x \ 1,y,z) \ x). [para(165(a,2),963(a,1,2))]. 971 x \ (y * T(y \ (x * z),u)) = (x \ y) * T((x \ y) \ z,u). [hyper(80,a,826,a)]. 972 x * ((x \ y) * T((x \ y) \ 1,z)) = y * T(y \ x,z). [para(15(a,1),826(a,2,2,1,2))]. 973 x * T(x \ (y * x),z) = y * (T(y,z) * (y \ x)). [para(326(a,1),826(a,1,2)),flip(a)]. 974 x * (T(x,y) * (x \ z)) = T(x,y) * z. [hyper(571,a,973,a),flip(a)]. 975 x \ (T(x,y) * z) = T(x,y) * (x \ z). [hyper(541,a,973,a)]. 976 (T(x,y) * z) / (T(x,y) * (x \ z)) = x. [hyper(76,a,322,a(flip),b,973,a(flip))]. 977 x \ (T(x,y) * T(x,z)) = T(x,z) * (x \ T(x,y)). [hyper(75,a,324,a,b,974,a)]. 978 T(x,y) * (x \ (T(x,y) \ z)) = x \ z. [hyper(75,a,17,a(flip),b,974,a),flip(a)]. 979 T(x,y) * (x * z) = x * (T(x,y) * z). [para(16(a,1),974(a,1,2,2)),flip(a)]. 980 T(x,y) * z != x * u | T(x,y) * (x \ z) = u. [para(974(a,1),22(a,1))]. 981 x * (T(x,y) * T(z,x)) = T(x,y) * (z * x). [para(35(a,2),974(a,1,2,2))]. 982 (x / y) * (T(x / y,z) * y) = T(x / y,z) * x. [para(69(a,1),974(a,1,2,2))]. 983 x \ (T(x,y) * z) != u | T(x,y) * (x \ z) = u. [para(974(a,1),237(a,1,2)),flip(b)]. 984 x \ (T(x,y) \ x) = T(x,y) \ 1. [hyper(413,a,975,a),flip(a)]. 985 x \ (T(x,x \ y) * z) = ((x \ y) \ y) * (x \ z). [hyper(189,a,219,a(flip),b,975,a)]. 986 L((T(x,y) * (x \ y)) / y,y,x) = (y * K(T(x,y),y)) / y. [para(975(a,1),743(a,1,1,1))]. 987 x * (T(x,y) \ 1) = T(x,y) \ x. [para(984(a,1),17(a,1,2))]. 988 (T(x,y) \ x) / (T(x,y) \ 1) = x. [para(984(a,1),67(a,1,2))]. 989 x * (T(x,y) \ 1) != z | T(x,y) \ x = z. [para(984(a,1),203(a,1,2)),flip(b)]. 992 (T(x,y) \ x) / T(x,T(x,y) \ 1) = T(x,y) \ 1. [hyper(76,a,987,a(flip),b,113,a)]. 993 (1 / T(x,y)) * x = x / T(x,y). [hyper(76,a,988,a(flip),b,847,a(flip)),flip(a)]. 994 (T(x,y) \ T(x,z)) / (T(x,y) \ 1) = T(x,z). [para(988(a,1),786(a,2,1))]. 995 T(1 / T(x,y),x) = x \ (x / T(x,y)). [hyper(147,a,993,a,b,17,a)]. 997 T(x,y) \ (x \ z) = x \ (T(x,y) \ z). [hyper(80,a,978,a)]. 998 T(x,y) * (x * (T(x,y) \ z)) = x * z. [hyper(189,a,89,a(flip),b,979,a)]. 999 T(T(x,y),x * (T(x,y) \ z)) = (x * (T(x,y) \ z)) \ (x * z). [hyper(147,a,979,a,b,211,a)]. 1000 T(x,y) \ (x * z) = x * (T(x,y) \ z). [hyper(75,a,89,a(flip),b,979,a)]. 1002 (x / y) * (T(x / y,y) * z) = (y \ x) * ((x / y) * z). [para(115(a,1),979(a,1,1)),flip(a)]. 1004 K(x \ (x / (1 / (1 / T(x,y)))),x) * (1 / T(x,y)) = x \ (x / T(x,y)). [hyper(189,a,894,a(flip),b,995,a(flip)),flip(a)]. 1005 T(x,y) * T(T(x,y) \ 1,x) = (x \ (x / T(x,y))) * T(x,y). [para(995(a,1),323(a,1,1)),flip(a)]. 1006 x * (T(x,y) \ (x \ z)) != u | T(x,y) \ z = u. [para(997(a,2),203(a,1,2)),flip(b)]. 1007 T(x,y) * (x \ (T(x,y) \ z)) != u * w | (x \ z) / w = u. [para(997(a,1),298(a,1,2))]. 1008 x * (T(x,y) \ y) = T(y,T(x,y)). [hyper(292,a,998,a),flip(a)]. 1009 T(x,y) \ K(x,1 / x) = x * (T(x,y) \ (1 / x)). [hyper(75,a,168,a,b,998,a)]. 1010 x * (T(x,y) \ ((x \ T(x,y)) * z)) = L(z,x \ T(x,y),x). [hyper(20,a,344,a,b,998,a)]. 1011 x * (T(x,y) \ (T(x,y) / x)) = K(x,T(x,y) / x). [hyper(20,a,214,a,b,998,a)]. 1012 T(x,y) \ (x * z) != u | x * (T(x,y) \ z) = u. [para(998(a,1),237(a,1,2)),flip(b)]. 1013 (x / y) * ((y \ x) \ y) = T(y,T(x / y,y)). [para(115(a,1),1008(a,1,2,1))]. 1014 T(T(x,y * x) * y,x) = T(x,y) * T(y,x). [hyper(147,a,619,a,b,981,a)]. 1015 T(x,y) * T(T(x,y) \ x,x) = L(x,T(x,y) \ x,T(x,y)). [hyper(20,a,344,a,b,981,a)]. 1017 (1 / T(x,y)) * T(x,z) = T(x,z) / T(x,y). [hyper(76,a,994,a(flip),b,847,a(flip)),flip(a)]. 1018 T(x,y) * (T(x,z) \ 1) = T(x,z) \ T(x,y). [para(994(a,1),19(a,1,1))]. 1019 (x / y) * ((y \ x) \ y) = T(y,y \ x). [para(115(a,1),1013(a,2,2))]. 1020 ((x * y) / x) * (y \ x) = T(x,x \ (x * y)). [para(16(a,1),1019(a,1,2,1))]. 1021 T(x,1 / T(x,y)) / T(x,y) = x * (1 / T(x,y)). [hyper(205,a,1017,a),flip(a)]. 1022 T(x,y) \ (T(x,y) / T(x,z)) = T(1 / T(x,z),T(x,y)). [hyper(147,a,1017,a,b,17,a),flip(a)]. 1023 (T(x,y) / T(x,z)) / T(x,y) = 1 / T(x,z). [hyper(88,a,1017,a)]. 1025 T(x / y,z) \ T(x / y,y) = (y \ x) * (T(x / y,z) \ 1). [para(115(a,1),1018(a,1,1)),flip(a)]. 1027 T(x,y) = ((x * y) / x) * (y \ x). [para(16(a,1),1020(a,2,2)),flip(a)]. 1028 T(x,y) / (y \ x) = (x * y) / x. [hyper(76,a,1027,a,b,xx)]. 1029 T((x * y) / x,y \ x) = (y \ x) \ T(x,y). [hyper(75,a,1027,a,b,113,a),flip(a)]. 1030 ((x * y) / x) \ T(x,y) = y \ x. [hyper(75,a,1027,a,b,xx)]. 1031 (x / (x / y)) * (y \ (x / y)) = T(x / y,y). [para(19(a,1),1027(a,2,1,1)),flip(a)]. 1032 ((x * (x / y)) / x) * y = T(x,x / y). [para(69(a,1),1027(a,2,2)),flip(a)]. 1033 ((x * R(y,y \ 1,x)) / x) * ((y \ 1) * x) = T(x,R(y,y \ 1,x)). [para(313(a,1),1027(a,2,2)),flip(a)]. 1034 R(x \ ((y * z) / y),x,z \ y) = T(T(y,z) / (x * (z \ y)),x). [para(1027(a,2),518(a,1,1,1)),flip(a)]. 1035 ((x * y) * x) / (x * y) = T(x * y,x) / y. [para(16(a,1),1028(a,1,2)),flip(a)]. 1038 (x \ y) \ K(T(y,x) \ ((y * x) / y),T(y,x)) = T((x \ y) \ 1,T(y,x)). [para(1028(a,1),887(a,1,2,1,2))]. 1039 x * ((y * (x \ y)) / y) = T(y,y / x). [hyper(761,a,1032,a)]. 1040 x \ T(y,y / x) = (y * (x \ y)) / y. [hyper(75,a,1032,a(flip),b,680,a(flip))]. 1041 T(x,x / y) != z | y * ((x * (y \ x)) / x) = z. [para(1032(a,1),761(a,1))]. 1042 (x / y) * ((x * y) / x) = T(x,x / (x / y)). [para(69(a,1),1039(a,1,2,1,2))]. 1043 (x * y) * L((x \ y) / y,y,x) = T(y,y / (x * y)). [para(675(a,2),1039(a,1,2))]. 1044 x * ((y * (x \ y)) / y) != z | T(y,y / x) = z. [para(1040(a,1),203(a,1,2)),flip(b)]. 1045 x * ((y * (x \ y)) / y) != z * u | z \ T(y,y / x) = u. [para(1040(a,1),301(a,1,2))]. 1046 T((x \ y) \ T(y,x),y) = T(x,x \ y). [para(1029(a,1),176(a,1,1))]. 1047 T((x \ y) \ T(y,x),x * y) = L(T(x,x \ y),y,x). [para(1029(a,1),736(a,1,1))]. 1048 T((x \ y) \ T(y,x),y) = (x \ y) \ y. [hyper(189,a,114,a(flip),b,1046,a)]. 1049 (x * y) / ((x * y) / x) = y / (x \ ((x * y) / x)). [hyper(76,a,142,a(flip),b,1031,a),flip(a)]. 1050 T(T(x * y,x) / y,x * y) = x. [para(1035(a,1),142(a,1,1))]. 1051 T(T(x * y,x) / y,y) = R(x,y,T(x,y)). [para(1035(a,1),703(a,1,1))]. 1052 T(T(R(x,y,y \ 1),x * y) / (y \ 1),(x * y) * (y \ 1)) = x * y. [para(369(a,1),1050(a,1,1,1,1))]. 1053 x \ T(y * x,y) = R(y,x,T(y,x)). [hyper(307,a,1051,a)]. 1054 x * R(y,x,T(y,x)) = T(y * x,y). [para(1051(a,1),146(a,1,2))]. 1055 R(x,y,T(x,y)) != z | y \ T(x * y,x) = z. [para(1051(a,1),307(a,1))]. 1056 L(R(x,y,T(x,y)),y,x) = x. [para(1053(a,1),360(a,1,1))]. 1057 T(x,x / (x / T(y,x))) = (x / T(y,x)) * y. [para(143(a,1),1042(a,1,2)),flip(a)]. 1059 T(x,y) \ K(x,1 / x) != z | x * (T(x,y) \ (1 / x)) = z. [para(168(a,2),1012(a,1,2))]. 1060 T(x,T(y,x)) != z | y * (T(y,x) \ x) = z. [para(157(a,1),1012(a,1))]. 1061 T(x,y) * (x \ T(x,z)) != u | T(x,z) * (x \ T(x,y)) = u. [para(977(a,1),983(a,1))]. 1062 (x / y) * (y * T(y \ x,z)) = T(x / y,z) * x. [para(323(a,1),982(a,1,2))]. 1063 x \ (((x \ y) \ y) * z) = ((x \ y) \ y) * (x \ z). [para(114(a,1),985(a,1,2,1))]. 1064 x * T(1 / x,T(x,y)) = K(x,T(x,y) / x). [para(794(a,1),1011(a,1,2))]. 1065 T(x,T(x,y) \ 1) / T(x,y) = x * (1 / T(x,y)). [para(853(a,1),1021(a,1,1))]. 1067 T(x / y,z) * u != (x / y) * (y * T(y \ x,z)) | u = x. [para(1062(a,2),22(a,2))]. 1069 x * (y * ((x \ y) / y)) = T(y,y / (x * y)). [hyper(207,a,1043,a)]. 1070 T(x,x / (y * x)) != z | y * (x * ((y \ x) / x)) = z. [para(1043(a,1),207(a,1))]. 1071 (x \ y) * T((x \ y) \ 1,z) = x \ (y * T(y \ x,z)). [hyper(80,a,972,a),flip(a)]. 1072 (x \ y) * T((x \ y) \ 1,y) = x \ ((y \ x) * y). [hyper(75,a,113,a(flip),b,972,a),flip(a)]. 1073 x * T(x \ y,y \ x) = y * K((y \ x) \ 1,y \ x). [para(229(a,1),972(a,1,2)),flip(a)]. 1074 x * T(x \ y,z) = y * K(z \ (z / (y \ x)),z). [para(886(a,2),972(a,1,2)),flip(a)]. 1075 K(x \ (x / (y \ z)),x) = y \ (z * T(z \ y,x)). [hyper(426,a,1074,a),flip(a)]. 1076 T(x * y,z) / y = x * K(z \ (z / (x \ (1 / y))),z). [hyper(189,a,778,a(flip),b,1074,a(flip)),flip(a)]. 1077 (x \ y) * K(z \ (z / ((x \ y) \ (x \ 1))),z) = x \ T(y,z). [hyper(189,a,771,a(flip),b,1074,a(flip))]. 1078 (x * y) * K(z \ (z / ((x * y) \ x)),z) = x * T(y,z). [para(16(a,1),1074(a,1,2,1)),flip(a)]. 1079 (x * y) * T((x * y) \ (y * x),z) = (y * x) * K(z \ (z / K(x,y)),z). [para(29(a,2),1074(a,2,2,1,2,2))]. 1080 (x * (y * z)) * T((x * (y * z)) \ (x * y),u) = (x * y) * K(u \ (u / L(z,y,x)),u). [para(31(a,2),1074(a,2,2,1,2,2))]. 1081 K((x * (y \ z)) \ x,x * (y \ z)) = y \ (z * T(z \ y,x * (y \ z))). [para(18(a,1),1075(a,1,1,2))]. 1082 K(x \ (x / (y \ (y / z))),x) = y \ ((y / z) * T(z,x)). [para(69(a,1),1075(a,2,2,2,1))]. 1083 (x / y) * ((y \ x) * z) = (y \ x) * ((x / y) * z). [para(115(a,1),1002(a,1,2,1))]. 1084 (x \ (x * y)) * (((x * y) / x) * z) = ((x * y) / x) * (y * z). [para(142(a,1),1002(a,1,2,1)),flip(a)]. 1085 ((x / y) \ x) * ((x / (x / y)) * z) = (x / (x / y)) * (y * z). [para(164(a,1),1002(a,1,2,1)),flip(a)]. 1086 (x \ y) \ ((y / x) * z) = (y / x) * ((x \ y) \ z). [hyper(432,a,1083,a)]. 1087 (x / y) * ((y \ x) \ ((x / y) \ z)) = (y \ x) \ z. [hyper(431,a,1083,a),flip(a)]. 1088 (x / y) * ((y \ x) \ 1) = (y \ x) \ (x / y). [hyper(299,a,1083,a),flip(a)]. 1089 ((x \ 1) \ 1) / x = (x \ 1) \ (1 / x). [hyper(189,a,802,a(flip),b,1088,a(flip)),flip(a)]. 1090 (x \ 1) \ (1 / x) = K(x,1 / x). [hyper(495,a,1089,a),flip(a)]. 1091 (x \ 1) * K(x,1 / x) = 1 / x. [para(1090(a,1),17(a,1,2))]. 1092 (1 / x) / K(x,1 / x) = x \ 1. [para(1090(a,1),67(a,1,2))]. 1093 R(1 / x,x,1 / x) = x \ 1. [hyper(539,a,1092,a)]. 1094 R(x / (y * x),y,1 / y) = R(y \ 1,y,x). [para(1093(a,1),289(a,1,1)),flip(a)]. 1095 R(x \ 1,x,y) \ (((y / (x * y)) * x) * (1 / x)) = x * (1 / x). [para(1094(a,1),133(a,1,1))]. 1096 K(T(1 / T(x,y),T(x,z)),T(x,z)) / T(x,y) = T(1 / T(x,y),T(x,z)). [para(1022(a,1),891(a,1,1,1))]. 1097 (x / y) * K(z \ (z / ((x / y) \ (1 / y))),z) = T(x,z) / y. [para(19(a,1),1076(a,1,1,1)),flip(a)]. 1098 (x * y) * K(L(y \ 1,y,x) \ 1,L(y \ 1,y,x)) = x * T(y,L(y \ 1,y,x)). [para(319(a,1),1078(a,1,2,1,2))]. 1099 (1 / x) \ ((y * (1 / x)) / y) = x * ((y * (x \ 1)) / y). [para(15(a,1),939(a,1,2,1,2))]. 1100 (x * y) * T((x * y) \ (z * y),u) = (x * T(x \ z,u)) * y. [para(323(a,1),951(a,2,1))]. 1101 (x \ y) * T((x \ y) \ T(y,x),z) = x \ (y * T(x,z)). [para(144(a,1),971(a,1,2,2,1)),flip(a)]. 1102 (x \ y) * (T(y / x,z) \ 1) = T(y / x,z) \ (x \ y). [para(115(a,1),1025(a,1,2)),flip(a)]. 1103 T(x / (y \ x),z) \ ((y \ x) \ x) = ((y \ x) \ x) * (T(y,z) \ 1). [para(67(a,1),1102(a,1,2,1,1)),flip(a)]. 1104 ((x * y) / x) * (y * z) = y * (((x * y) / x) * z). [para(16(a,1),1084(a,1,1)),flip(a)]. 1105 x \ (((y * x) / y) * z) = ((y * x) / y) * (x \ z). [hyper(432,a,1104,a)]. 1106 ((x * y) / x) * (y \ 1) = y \ ((x * y) / x). [hyper(299,a,1104,a),flip(a)]. 1107 ((x * y) / x) \ (y * z) = y * (((x * y) / x) \ z). [hyper(75,a,89,a(flip),b,1104,a)]. 1108 (x \ ((y * x) / y)) / (x \ 1) = (y * x) / y. [hyper(88,a,1106,a)]. 1110 (1 / x) * ((y * x) / y) = ((y * x) / y) / x. [hyper(76,a,1108,a(flip),b,847,a(flip)),flip(a)]. 1111 ((x * (y \ 1)) / x) / (y \ 1) = y * ((x * (y \ 1)) / x). [hyper(456,a,1110,a),flip(a)]. 1112 ((x * y) / x) * (y \ ((((x * y) / x) \ y) * z)) = L(z,((x * y) / x) \ y,(x * y) / x). [hyper(577,a,1105,a),flip(a)]. 1113 (x / (x / y)) * (y * z) = y * ((x / (x / y)) * z). [hyper(455,a,1085,a),flip(a)]. 1115 (x / (x / y)) \ (y * z) = y * ((x / (x / y)) \ z). [hyper(75,a,89,a(flip),b,1113,a)]. 1116 (x * ((y / (y / x)) * z)) \ ((x * z) * (y / (y / x))) = K(x * z,y / (y / x)). [para(1113(a,1),29(a,2,1)),flip(a)]. 1117 x * (y * T(y \ (x \ (z * y)),u)) = (x * T(x \ z,u)) * y. [hyper(189,a,713,a(flip),b,1100,a(flip)),flip(a)]. 1118 x * T(x \ (x \ (y * x)),z) = T(x * T(x \ y,z),x). [hyper(147,a,1100,a(flip),b,713,a(flip)),flip(a)]. 1119 (x * y) * T((x * y) \ y,z) = (x * T(x \ 1,z)) * y. [para(14(a,1),1100(a,1,2,1,2))]. 1121 T(x * T(x \ y,z),x) = x * T(x \ T(y,x),z). [para(35(a,2),1118(a,1,2,1,2)),flip(a)]. 1122 x \ T(x * T(x \ y,z),x) = T(x \ T(y,x),z). [hyper(75,a,1121,a,b,xx)]. 1123 x \ T(x * T(y,z),x) = T(x \ T(x * y,x),z). [para(16(a,1),1122(a,1,2,1,2,1))]. 1125 x * (y * T(y \ (x \ y),z)) = (x * T(x \ 1,z)) * y. [hyper(189,a,713,a(flip),b,1119,a(flip)),flip(a)]. 1126 T(x,x * T(x \ 1,y)) = x. [hyper(147,a,569,a(flip),b,1119,a(flip))]. 1128 T(x,(x \ 1) * x) = x. [para(113(a,1),1126(a,1,2))]. 1129 T(x,K(x \ 1,x)) = x. [para(229(a,1),1126(a,1,2))]. 1130 (R(x,y,z) * (x * T(x \ 1,u))) / R(x,y,z) = x * T(x \ 1,u). [para(1126(a,1),175(a,1,2,1))]. 1131 R(x,(x * T(x \ 1,y)) / x,x) = T(x,(x * T(x \ 1,y)) / x). [para(1126(a,1),618(a,1,1))]. 1132 T(x \ 1,T(x,y) * (x \ 1)) = x \ 1. [para(326(a,1),1126(a,1,2))]. 1133 T(x \ 1,x \ T(x,y)) = x \ 1. [para(770(a,1),1126(a,1,2))]. 1134 T(1 / x,T(x,y) / x) = 1 / x. [para(792(a,1),1126(a,1,2))]. 1135 R(x,x \ 1,x) = T(x,x \ 1). [para(1128(a,1),615(a,1,1))]. 1136 K(x \ 1,x) * x = x * K(x \ 1,x). [para(1129(a,1),113(a,1,2))]. 1137 R(x,x \ 1,x) = (x \ 1) \ 1. [hyper(189,a,114,a(flip),b,1135,a)]. 1138 R(T(x,y),x \ 1,x) = T(T(x,x \ 1),y). [para(1135(a,1),45(a,2,1))]. 1139 x / K(x \ 1,x) = (x \ 1) \ 1. [hyper(189,a,401,a,b,1137,a(flip)),flip(a)]. 1140 T(x \ T(x,y),x \ 1) = x \ T(x,y). [hyper(38,a,1133,a)]. 1141 T((x * (1 / y)) / x,T(y,z) / y) = (x * (1 / y)) / x. [para(1134(a,1),330(a,1,1,2)),flip(a)]. 1142 ((x \ 1) \ 1) * K(x \ 1,x) = x. [para(1139(a,1),19(a,1,1))]. 1143 T(x,x \ 1) * K(x \ 1,x) = x. [hyper(465,a,1142,a)]. 1144 R(x \ 1,T(x,y),x \ 1) = T(x \ 1,T(x,y)). [para(1132(a,1),615(a,1,1))]. 1145 K(x \ 1,x) * x = 1 / (1 / x). [hyper(189,a,474,a(flip),b,1136,a)]. 1146 T((x * y) \ (y * x),y \ 1) = L(y \ T(y,x),y,x). [para(1140(a,1),585(a,1,1)),flip(a)]. 1147 K(x,y) = T((y * x) \ (x * y),x \ 1). [hyper(189,a,584,a,b,1146,a),flip(a)]. 1148 T(K(x,y),x \ 1) = K(x,y). [para(29(a,2),1147(a,2,1)),flip(a)]. 1149 T(x \ 1,K(x,y)) = x \ 1. [hyper(38,a,1148,a)]. 1150 T((x * y) \ x,K(y,z)) = L(y \ 1,y,x). [para(1149(a,1),280(a,2,1))]. 1151 T((x * y) \ x,K(y,z)) = (x * y) \ x. [hyper(189,a,140,a(flip),b,1150,a)]. 1152 T(K(x,y),(z * x) \ z) = K(x,y). [hyper(38,a,1151,a)]. 1153 T(K(x \ 1,y),x) = K(x \ 1,y). [para(121(a,1),1152(a,1,2))]. 1155 K(x \ 1,y) * x = x * K(x \ 1,y). [para(1153(a,1),113(a,1,2)),flip(a)]. 1156 (x * T(x \ 1,y)) * y = x * ((y \ (x \ y)) * y). [para(113(a,1),1125(a,1,2)),flip(a)]. 1157 (x \ 1) * ((x \ T(x,y)) * ((x \ 1) \ z)) = ((x \ 1) * T((x \ 1) \ 1,y)) * z. [para(918(a,2),1125(a,1,2))]. 1158 x * T(y * T(y \ 1,x),x) = y * ((x \ (y \ x)) * x). [hyper(206,a,1156,a)]. 1159 x * ((y \ z) * T((y \ z) \ (x \ z),u)) = (x * T(x \ y,u)) * (y \ z). [para(17(a,1),1117(a,1,2,2,1,2,2))]. 1160 (x * T(x \ (y / z),u)) * z = x * (z * T(z \ (x \ y),u)). [para(19(a,1),1117(a,1,2,2,1,2,2)),flip(a)]. 1161 ((x * y) * T((x * y) \ x,z)) * u = (x * y) * (u * T(u \ L(y \ u,y,x),z)). [para(104(a,2),1117(a,1,2,2,1,2)),flip(a)]. 1162 x * (y * T(y \ (x \ z),x)) = ((x \ (z / y)) * x) * y. [para(113(a,1),1160(a,1,1)),flip(a)]. 1163 (T((x / y) / z,u) * z) * y = z * (y * T(y \ (z \ x),u)). [para(323(a,2),1160(a,1,1))]. 1164 ((x / y) * K(y \ 1,y)) * y = x * (y * T(y \ (x \ x),y)). [para(842(a,2),1160(a,1,1))]. 1165 (x * y) * T((x * y) \ z,x) = ((x \ (z / y)) * x) * y. [hyper(189,a,713,a,b,1162,a(flip)),flip(a)]. 1166 ((x \ ((x * y) / z)) * x) * z = x * (z * T(z \ y,x)). [para(16(a,1),1162(a,1,2,2,1,2)),flip(a)]. 1167 ((x \ (x / y)) * x) * y = x * (y * T(y \ 1,x)). [para(59(a,1),1162(a,1,2,2,1,2)),flip(a)]. 1168 ((x \ (y / y)) * x) * y = x * (K(x \ 1,x) * (x \ y)). [para(910(a,2),1162(a,1,2)),flip(a)]. 1169 x * ((y \ x) * T((y \ x) \ 1,x)) = ((x \ y) * x) * (y \ x). [para(67(a,1),1167(a,1,1,1,2)),flip(a)]. 1170 x * (x * T(x \ T(y,x),x)) = ((x \ y) * x) * x. [para(143(a,1),1166(a,1,1,1,2)),flip(a)]. 1171 x * ((x \ T(y,x)) * x) = ((x \ y) * x) * x. [para(113(a,1),1170(a,1,2))]. 1172 T((x \ y) * x,x) = (x \ T(y,x)) * x. [hyper(148,a,1171,a)]. 1173 T(x,y) \ T((y \ x) * y,y) = K(y \ T(x,y),y). [hyper(75,a,1172,a,b,213,a)]. 1174 x * (T((x \ y) * x,x) / x) = T(y,x). [para(1172(a,2),66(a,1,2,1))]. 1175 x * (T(y * x,x) / x) = T(x * y,x). [para(16(a,1),1174(a,1,2,1,1,1))]. 1176 T(x * (y / x),x) = x * (T(y,x) / x). [para(70(a,1),1174(a,1,2,1,1)),flip(a)]. 1177 T(x * ((1 / x) * y),x) = x * ((1 / x) * T(y,x)). [para(777(a,1),1175(a,1,2)),flip(a)]. 1178 x \ T(x * (y / x),x) = T(y,x) / x. [hyper(75,a,1176,a,b,xx)]. 1180 x \ T(x * T((x * y) / x,z),x) = T(x * T(y,z),x) / x. [para(330(a,1),1178(a,1,2,1,2))]. 1181 x \ T(x * L((x * y) / x,z,u),x) = T(x * L(y,z,u),x) / x. [para(662(a,2),1178(a,1,2,1,2))]. 1182 x \ T(x * T(y / x,z),x) = T(T(y,x) / x,z). [para(1178(a,1),1123(a,2,1))]. 1183 T(x * y,x) \ T(y * x,x) = K(x \ T(x * y,x),x). [para(16(a,1),1173(a,1,2,1,1))]. 1184 T(x * ((1 / x) * ((1 / x) \ (x \ (y * (1 / x))))),x) = (x * T(x \ y,x)) * (1 / x). [hyper(189,a,1117,a(flip),b,1177,a)]. 1185 T(x * T(y / x,z),x) = x * T(T(y,x) / x,z). [para(1182(a,1),17(a,1,2)),flip(a)]. 1186 T(x * T(1 / x,y),x) = x * T(1 / x,y). [para(191(a,1),1185(a,2,2,1,1))]. 1187 x \ T(x * T(y / x,z),x) != u | T(T(y,x) / x,z) = u. [para(1185(a,2),237(a,1,2)),flip(b)]. 1188 x * (K(x \ 1,x) * (x \ y)) = ((x \ 1) * x) * y. [para(64(a,1),1168(a,1,1,1,2)),flip(a)]. 1190 x * (K(x \ 1,x) * (x \ y)) = K(x \ 1,x) * y. [para(165(a,2),1188(a,2,1))]. 1191 K(x \ 1,x) * (x * y) = x * (K(x \ 1,x) * y). [para(16(a,1),1190(a,1,2,2)),flip(a)]. 1192 x * (K(x \ 1,x) * T(y,x)) = K(x \ 1,x) * (y * x). [para(35(a,2),1190(a,1,2,2))]. 1193 (K(x \ 1,x) * y) \ (x * (K(x \ 1,x) * y)) = L(T(x,y),y,K(x \ 1,x)). [para(1191(a,1),154(a,1,2))]. 1194 ((x / y) * K(y \ 1,y)) * y = x * (y * T(y \ 1,y)). [para(59(a,1),1164(a,2,2,2,1,2))]. 1196 ((x / y) * K(y \ 1,y)) * y = x * ((y \ 1) * y). [para(113(a,1),1194(a,2,2))]. 1197 ((x / y) * K(y \ 1,y)) * y = x * K(y \ 1,y). [para(229(a,1),1194(a,2,2))]. 1198 (1 / x) * K(x \ 1,x) = x \ 1. [hyper(21,a,14,a(flip),b,1196,a)]. 1199 (x \ 1) \ ((1 / x) * (K(x \ 1,x) * y)) = L(y,K(x \ 1,x),1 / x). [para(1198(a,1),31(a,2,1)),flip(a)]. 1200 (1 / x) * ((x \ 1) * x) = x \ 1. [para(165(a,1),1198(a,1,2))]. 1201 (1 / x) \ (x \ 1) != y | K(x \ 1,x) = y. [para(1198(a,1),237(a,1,2)),flip(b)]. 1202 (1 / x) * (L(x \ 1,y,z) * x) = L(x \ 1,y,z). [para(1200(a,1),864(a,1,1)),flip(a)]. 1203 (x * y) \ x = (1 / y) * (L(y \ 1,y,x) * y). [hyper(189,a,140,a(flip),b,1202,a),flip(a)]. 1204 L((x \ y) \ 1,x \ y,x) * (x \ y) = (1 / (x \ y)) \ (y \ x). [hyper(75,a,276,a(flip),b,1202,a),flip(a)]. 1205 (1 / x) * (((y * x) \ y) * x) = (y * x) \ y. [para(140(a,1),1203(a,2,2,1)),flip(a)]. 1206 (1 / x) \ ((y * x) \ y) = ((y * x) \ y) * x. [hyper(80,a,1205,a)]. 1207 (1 / x) * ((((y * x) \ y) \ (((y * x) \ y) * x)) * ((y * x) \ y)) = ((1 / x) * T((1 / x) \ 1,(y * x) \ y)) * ((y * x) \ y). [para(1206(a,1),1156(a,2,2,1,2)),flip(a)]. 1208 ((x \ y) * x) * (y \ x) = x * (y \ ((x \ y) * x)). [para(1072(a,1),1169(a,1,2)),flip(a)]. 1209 ((x \ y) * x) * (y \ x) = x * K(x \ y,x). [para(96(a,1),1208(a,2,2))]. 1210 (x * y) * ((y * x) \ y) = y * K(y \ (y * x),y). [para(16(a,1),1209(a,1,1,1))]. 1211 (x * y) * ((y * x) \ y) = y * K(x,y). [para(16(a,1),1210(a,2,2,1))]. 1213 K(x \ (x * y),x) = K(y,x). [hyper(20,a,1210,a(flip),b,1211,a(flip)),flip(a)]. 1214 (x * y) * L(x \ 1,x,y) = y * K(x,y). [para(140(a,2),1211(a,1,2))]. 1215 K(x \ (x * y),z) = K(y,z). [para(60(a,1),1213(a,1,1)),flip(a)]. 1216 K((x / y) \ x,z) = K(y,z). [para(19(a,1),1215(a,1,1,2))]. 1218 T(x * T(y,z),x) / x = T(T(x * y,x) / x,z). [hyper(1187,a,1180,a),flip(a)]. 1219 (L(x,y,z) * (z * y)) \ (x * (z * y)) = a(z,y,T(x,z * y)). [para(498(a,1),151(a,1,1))]. 1220 (L(x,y \ z,y) * z) \ (x * (y * (y \ z))) = a(y,y \ z,T(x,y * (y \ z))). [para(17(a,1),1219(a,1,1,2))]. 1221 R(x * (y \ 1),z,u) / (y \ 1) = y * R(y \ x,z,u). [hyper(76,a,464,a(flip),b,665,a)]. 1222 x * R(x \ (y / (x \ 1)),z,u) = R(y,z,u) / (x \ 1). [para(19(a,1),1221(a,1,1,1)),flip(a)]. 1223 x * ((x \ y) * ((z * ((x \ y) \ u)) / z)) = y * ((z * (y \ (x * u))) / z). [para(694(a,1),344(a,1,2)),flip(a)]. 1224 x * L(R(T(y,x),z,z \ x),u,w) = (L(y,u,w) * z) * (z \ x). [para(47(a,1),737(a,1,2))]. 1225 K(x \ (x / y),x) != z | y * T(y \ 1,x) = z. [para(320(a,1),841(a,1))]. 1226 T(x,y) / x != z | (1 / x) * T((1 / x) \ 1,y) = z. [para(889(a,1),1225(a,1))]. 1227 R((1 / x) * ((y * x) / y),x,x \ y) = (1 / x) * ((T(y,x) / y) * x). [para(1027(a,2),856(a,1,2,1,1)),flip(a)]. 1228 T(x,(x * T(x \ 1,y)) / x) = R(x,T(1 / x,y),x). [para(328(a,1),1131(a,1,2)),flip(a)]. 1229 R(x,T(1 / x,y),x) = T(x,T(1 / x,y)). [para(328(a,1),1228(a,1,2)),flip(a)]. 1230 R(R(x,y,z),T(1 / x,u),x) = R(T(x,T(1 / x,u)),y,z). [para(1229(a,1),49(a,1,1)),flip(a)]. 1231 T(x,T(1 / x,y)) * T(T(1 / x,y),x) = T(x * T(1 / x,y),x). [para(1229(a,1),930(a,1,1))]. 1232 (1 / (x \ y)) \ (y \ x) = (y \ x) * (x \ y). [para(276(a,1),1204(a,1,1)),flip(a)]. 1233 (1 / (x \ y)) * ((y \ x) * (x \ y)) = y \ x. [para(1232(a,1),17(a,1,2))]. 1234 (1 / ((x * y) \ x)) * ((x \ (x * y)) * ((x * y) \ x)) = y. [hyper(189,a,16,a(flip),b,1233,a)]. 1235 T(1 / (x \ y),(y \ x) * (x \ y)) = ((y \ x) * (x \ y)) \ (y \ x). [hyper(147,a,1233,a,b,17,a)]. 1237 (1 / ((x * y) \ x)) * (y * ((x * y) \ x)) = y. [para(16(a,1),1234(a,1,2,1))]. 1238 (L(1 / x,y,z) * x) * (x \ u) = u * L(u \ (x \ u),y,z). [para(723(a,1),1224(a,1,2,1)),flip(a)]. 1239 (x * L(x \ 1,y,z)) * (x \ u) = u * L(u \ (x \ u),y,z). [para(502(a,1),1238(a,1,1))]. 1240 (x * L(x \ (y \ x),z,u)) / (y \ x) = y * L(y \ 1,z,u). [hyper(88,a,1239,a)]. 1241 (((x * y) * z) * L(((x * y) * z) \ (y * z),u,w)) / (R(x,y,z) \ ((x * y) * z)) = R(x,y,z) * L(R(x,y,z) \ 1,u,w). [para(133(a,1),1240(a,1,1,2,1,2))]. 1242 ((x \ (y / (x \ z))) * x) * (x \ z) = T(y / z,x) * z. [para(17(a,1),605(a,2,1,1,2))]. 1243 ((x \ (y / (x \ z))) * x) * (x \ z) = z * T(z \ y,x). [hyper(189,a,323,a(flip),b,1242,a)]. 1244 ((x \ y) * x) * (x \ z) = z * T(z \ (y * (x \ z)),x). [para(18(a,1),1243(a,1,1,1,2))]. 1245 K(x \ 1,x) * R(((x \ 1) * x) \ y,z,u) = (x \ 1) * (x * R(x \ ((x \ 1) \ y),z,u)). [para(165(a,2),810(a,1,1))]. 1246 (L((x * y) / x,z,u) * x) * y = (x * y) * L(y,z,u). [hyper(690,a,815,a),flip(a)]. 1247 (x * y) * L((x * y) \ (z * y),u,w) = (L(z / x,u,w) * x) * y. [hyper(673,a,815,a)]. 1248 (x * L(y,z,u)) * y = (x * y) * L(y,z,u). [para(503(a,1),1246(a,1,1))]. 1249 ((x / L(y,z,u)) * y) \ (x * y) = L(y,z,u). [hyper(430,a,1248,a)]. 1250 (1 / L(x,y,z)) * x = x / L(x,y,z). [hyper(423,a,1248,a),flip(a)]. 1251 (x * L(x \ 1,y,z)) * (x \ 1) = L(x \ 1,y,z). [hyper(189,a,61,a(flip),b,1248,a)]. 1252 (x * L(y,z,u)) \ ((x * y) * L(y,z,u)) = y. [hyper(80,a,1248,a)]. 1253 (x * L(y,z,u)) / y = (x / y) * L(y,z,u). [hyper(76,a,90,a(flip),b,1248,a)]. 1254 (1 / x) * L(x,y,z) = L(x,y,z) / x. [hyper(76,a,68,a(flip),b,1248,a),flip(a)]. 1255 (x * (y * L(x,z,u))) \ ((y * x) * L(x,z,u)) = K(y * L(x,z,u),x). [hyper(75,a,1248,a(flip),b,95,a)]. 1256 ((x * y) * L(y,z,u)) \ (y * (x * L(y,z,u))) != w | K(y,x * L(y,z,u)) = w. [para(1248(a,1),240(a,1,1))]. 1258 T(1 / L(x,y,z),x) = x \ (x / L(x,y,z)). [hyper(147,a,1250,a,b,17,a)]. 1259 (x / L(x,y,z)) / x = 1 / L(x,y,z). [hyper(88,a,1250,a)]. 1261 (L(x,y,z) / x) / L(x,y,z) = 1 / x. [hyper(88,a,1254,a)]. 1262 L(L(x,y,z) \ u,L(x,y,z),1 / x) = (L(x,y,z) / x) \ ((1 / x) * u). [para(1254(a,1),104(a,2,1))]. 1263 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(1254(a,1),563(a,1,2))]. 1264 (1 / L(x,y,z)) * x != u | x / L(x,y,z) = u. [para(1259(a,1),200(a,1,1)),flip(b)]. 1265 (x * y) / L(y,z,u) != w | (x / L(y,z,u)) * y = w. [para(1249(a,1),246(a,1,2)),flip(b)]. 1266 L(x,y,z) = ((z * y) * x) \ ((z * (y * x)) * x). [para(128(a,1),1249(a,1,1,1)),flip(a)]. 1267 R(T(x,y * L(x,z,u)),y,L(x,z,u)) = T(x,y). [para(1252(a,1),832(a,1,1)),flip(a)]. 1268 ((x * y) / z) * L(z,y,x) = (x * (y * z)) / z. [para(102(a,1),1253(a,1,1)),flip(a)]. 1269 T(x \ (x / L(x,y,z)),L(x,y,z)) = T(L(x,y,z) \ 1,x). [para(1258(a,1),161(a,1,1))]. 1270 (x * L(y,z,u)) * T(y,x) = (y * x) * L(y,z,u). [para(1267(a,1),505(a,1,2))]. 1271 ((x * y) * L(x,z,u)) / T(x,y) = y * L(x,z,u). [para(1267(a,1),506(a,1,2))]. 1272 (x * y) / L(z,y,R(x,y,z)) = (R(x,y,z) * y) / z. [hyper(410,a,1268,a(flip))]. 1273 (x * (y * z)) / z != L(z,y,x) * u | T((x * y) / z,L(z,y,x)) = u. [para(1268(a,1),148(a,2)),flip(a)]. 1274 (x * ((y * x) \ y)) * (x \ 1) = L(x \ 1,x,y). [para(140(a,1),1251(a,1,1,2))]. 1275 (x * ((y * x) \ y)) * (x \ 1) = (y * x) \ y. [hyper(189,a,140,a(flip),b,1274,a)]. 1276 L(x \ 1,x,y) \ ((x \ 1) * (x * ((y * x) \ y))) = K(x \ 1,x * ((y * x) \ y)). [para(1274(a,1),29(a,2,1)),flip(a)]. 1277 ((x * y) \ x) * z != (y \ 1) * (y * ((x * y) \ x)) | K(y \ 1,y * ((x * y) \ x)) = z. [para(1275(a,1),215(a,1,1))]. 1278 T(x,y) \ ((x * y) * L(x,z,u)) = T(y * L(x,z,u),T(x,y)). [hyper(147,a,1270,a,b,17,a),flip(a)]. 1279 (x * L(y,z,u)) / T(y,y \ x) = (y \ x) * L(y,z,u). [hyper(76,a,91,a(flip),b,1270,a)]. 1281 ((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(110(a,1),831(a,1,2))]. 1282 T(1 / x,(y / (x * y)) * x) != z | L(x \ 1,x,y / (x * y)) = z. [para(863(a,1),310(a,1))]. 1283 x \ R(x * (y * (x \ 1)),z,u) = R(y,z,u) * (x \ 1). [hyper(189,a,160,a(flip),b,866,a)]. 1284 x \ R(x * (x \ T(y,x \ 1)),z,u) = R((x \ 1) \ (x \ y),z,u) * (x \ 1). [para(783(a,1),1283(a,1,2,1,2))]. 1285 (1 / x) * L((1 / x) \ y,z,u) = L(y * x,z,u) / x. [para(69(a,1),914(a,1,2)),flip(a)]. 1286 (1 / x) * L((1 / x) \ 1,y,z) = L(x,y,z) / x. [para(14(a,1),1285(a,2,1,1))]. 1287 L(T(x,y),y,R(x,z,u)) = T(x,R(x,z,u) * y). [hyper(238,a,928,a),flip(a)]. 1288 x \ (y * L(y \ (x * z),u,w)) = (x \ y) * L((x \ y) \ z,u,w). [hyper(80,a,931,a)]. 1289 (x / y) * (y * L(y \ ((x / y) \ z),u,w)) = x * L(x \ z,u,w). [para(17(a,1),933(a,2,2,1,2))]. 1290 x \ (y * R(y \ (x * z),u,w)) = (x \ y) * R((x \ y) \ z,u,w). [hyper(80,a,934,a)]. 1291 (x / y) \ (x * ((z * (x \ (x / y))) / z)) = y * ((z * (y \ 1)) / z). [hyper(80,a,938,a)]. 1292 ((x * (1 / (1 / T(y,x)))) / x) \ (y / T(y,x)) = 1 / T(y,x). [para(993(a,1),957(a,1,2))]. 1293 L(T(x,y),y,L(x,z,u)) = T(x,L(x,z,u) * y). [hyper(238,a,967,a),flip(a)]. 1294 x * T(y,L(y,z,u) * x) = L(y,x,L(y,z,u)) * x. [para(1293(a,1),159(a,1,2))]. 1295 T((x * y) / x,L(y,z,u) * x) = L(y,x,L(y,z,u)). [hyper(331,a,1294,a)]. 1296 (((x * y) / x) * (y \ 1)) * x = T(x,R(y,y \ 1,x)). [hyper(699,a,1033,a)]. 1297 (x \ ((y * x) / y)) * y = T(y,R(x,x \ 1,y)). [para(1106(a,1),1296(a,1,1))]. 1298 T(x,R(y,y \ 1,x)) / x = y \ ((x * y) / x). [hyper(88,a,1297,a)]. 1299 T(x,R(T(y,x),T(y,x) \ 1,x)) = (T(y,x) \ y) * x. [para(143(a,1),1297(a,1,1,2)),flip(a)]. 1300 T(x,R(y,y \ 1,x)) / x != z | y \ ((x * y) / x) = z. [para(1297(a,1),248(a,1,1)),flip(b)]. 1301 (1 / x) \ ((y * (1 / x)) / y) = T(y,R(1 / x,x,y)) / y. [para(69(a,1),1298(a,1,1,2,2)),flip(a)]. 1302 T(1 / x,T(x,R(y,y \ 1,x))) = L(x \ 1,x,y \ ((x * y) / x)). [para(1298(a,1),801(a,1,3)),flip(a)]. 1303 T(x,R(1 / y,y,x)) / x = y * ((x * (y \ 1)) / x). [hyper(189,a,1099,a(flip),b,1301,a(flip))]. 1304 (x * ((y * (x \ 1)) / y)) * y = T(y,R(1 / x,x,y)). [para(1303(a,1),19(a,1,1))]. 1305 (T(x,y) * ((T(x,y) \ x) / x)) * x = T(x,R(1 / T(x,y),T(x,y),x)). [para(987(a,1),1304(a,1,1,2,1))]. 1306 ((x \ y) \ y) * (T(x,z) \ 1) = T(x,z) \ ((x \ y) \ y). [para(67(a,1),1103(a,1,1,1)),flip(a)]. 1307 ((x \ y) \ y) * (x \ (T(x,z) \ 1)) = x \ (T(x,z) \ ((x \ y) \ y)). [para(1306(a,1),1063(a,1,2)),flip(a)]. 1308 (x * (R(x,y,z) * T(x \ 1,u))) / R(x,y,z) = x * T(x \ 1,u). [para(922(a,1),1130(a,1,1))]. 1309 T(x,T(1 / x,y)) * T(x \ 1,y) = T(x * T(1 / x,y),x). [para(161(a,1),1231(a,1,2))]. 1310 T(x,T(1 / x,y)) * T(x \ 1,y) = x * T(1 / x,y). [hyper(189,a,1186,a(flip),b,1309,a)]. 1311 (L((x / y) / z,u,w) * z) * y = (z * y) * L((z * y) \ x,u,w). [para(19(a,1),1247(a,1,2,1,2)),flip(a)]. 1312 (x \ y) * L((x \ y) \ 1,z,u) = x \ (y * L(y \ x,z,u)). [para(15(a,1),1288(a,1,2,2,1,2)),flip(a)]. 1313 (x \ y) * L((x \ y) \ (x \ z),u,w) = x \ (y * L(y \ z,u,w)). [para(17(a,1),1288(a,1,2,2,1,2)),flip(a)]. 1314 (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(31(a,2),1312(a,1,1)),flip(a)]. 1315 (x \ y) * R((x \ y) \ 1,z,u) = x \ (y * R(y \ x,z,u)). [para(15(a,1),1290(a,1,2,2,1,2)),flip(a)]. 1316 (x * y) \ ((x * (y * z)) * R((x * (y * z)) \ (x * y),u,w)) = L(z,y,x) * R(((x * y) \ (x * (y * z))) \ 1,u,w). [para(31(a,2),1315(a,1,1)),flip(a)]. 1317 x \ ((y * x) * R((y * x) \ x,z,u)) = T(y,x) * R((x \ (y * x)) \ 1,z,u). [para(35(a,2),1315(a,1,1)),flip(a)]. 1318 (x / y) \ (x * ((x / y) / x)) = y * ((x * (y \ 1)) / x). [para(17(a,1),1291(a,1,2,2,1))]. 1319 K(x,(x / y) / x) = y * ((x * (y \ 1)) / x). [hyper(338,a,1318,a)]. 1320 x * ((y * (x \ 1)) / y) != z | K(y,(y / x) / y) = z. [para(1318(a,1),338(a,1))]. 1321 (x \ y) * ((y * ((x \ y) \ 1)) / y) = K(y,x / y). [para(67(a,1),1319(a,1,2,1)),flip(a)]. 1322 x * ((T(x,y) * (x \ 1)) / T(x,y)) = K(T(x,y),1 / x). [para(795(a,1),1319(a,1,2)),flip(a)]. 1323 x * ((R(x,y,z) * (x \ 1)) / R(x,y,z)) = K(R(x,y,z),1 / x). [para(878(a,1),1319(a,1,2)),flip(a)]. 1324 T(x,y) * ((T(x,z) * (T(x,y) \ 1)) / T(x,z)) = K(T(x,z),1 / T(x,y)). [para(1023(a,1),1319(a,1,2)),flip(a)]. 1325 x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = K(L(x,y,z),1 / x). [para(1261(a,1),1319(a,1,2)),flip(a)]. 1326 x * (((x \ 1) * T((x \ 1) \ 1,y)) / T(x,y)) = K(T(x,y),1 / x). [para(326(a,2),1322(a,1,2,1))]. 1327 x * ((x \ R(x,y,z)) / R(x,y,z)) = K(R(x,y,z),1 / x). [para(867(a,1),1323(a,1,2,1))]. 1328 (x * ((x \ 1) * R(x,y,z))) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). [para(113(a,1),1308(a,1,1,2))]. 1329 (L((x / y) / z,u,w) * z) * y = z * (y * L(y \ (z \ x),u,w)). [hyper(189,a,811,a(flip),b,1311,a)]. 1330 T(x,y) * L((y \ (x * y)) \ (y \ z),u,w) = y \ ((x * y) * L((x * y) \ z,u,w)). [para(35(a,2),1313(a,1,1))]. 1331 (x * L(x \ (y / z),u,w)) * z = x * (z * L(z \ (x \ y),u,w)). [para(502(a,1),1329(a,1,1))]. 1332 (x * (y * L(y \ (x \ z),u,w))) / y = x * L(x \ (z / y),u,w). [hyper(88,a,1331,a)]. 1333 (x / y) * L((x / y) \ (z / y),u,w) = (x * L(x \ z,u,w)) / y. [hyper(76,a,1289,a(flip),b,1331,a),flip(a)]. 1334 x * (y * L(y \ (x \ (z * y)),u,w)) = (x * L(x \ z,u,w)) * y. [para(18(a,1),1331(a,1,1,2,1,2)),flip(a)]. 1335 x * (y * L(y \ (x \ y),z,u)) = (x * L(x \ 1,z,u)) * y. [para(64(a,1),1331(a,1,1,2,1,2)),flip(a)]. 1336 x \ (y * (x * L(x \ (y \ z),u,w))) != v5 | T(y * L(y \ (z / x),u,w),x) = v5. [para(1331(a,1),238(a,1,2))]. 1337 (x * y) * L((x * y) \ y,z,u) = (x * L(x \ 1,z,u)) * y. [hyper(189,a,811,a,b,1335,a(flip)),flip(a)]. 1338 x * ((x * y) * L((x * y) \ y,z,u)) = (x * L(x \ 1,z,u)) * (x * y). [para(16(a,1),1335(a,1,2,2,1,2))]. 1339 T(x,x * L(x \ 1,y,z)) = x. [hyper(147,a,709,a(flip),b,1337,a(flip))]. 1340 T(x * L(x \ 1,T(x,y),y),y) = T(x,y) * ((x * y) \ y). [hyper(147,a,1337,a(flip),b,353,a(flip))]. 1342 K(x,x * L(x \ 1,y,z)) = 1. [hyper(39,a,1339,a)]. 1343 T(x \ y,(x \ y) * (y \ x)) = x \ y. [para(276(a,1),1339(a,1,2,2))]. 1344 T(x \ 1,x \ L(x,y,z)) = x \ 1. [para(854(a,1),1339(a,1,2))]. 1345 T(1 / x,L(x,y,z) / x) = 1 / x. [para(1286(a,1),1339(a,1,2))]. 1346 T(x \ 1,L(x,y,z) * (x \ 1)) = x \ 1. [para(962(a,2),1344(a,1,2))]. 1347 T((x * (1 / y)) / x,L(y,z,u) / y) = (x * (1 / y)) / x. [para(1345(a,1),330(a,1,1,2)),flip(a)]. 1348 R(x \ 1,L(x,y,z),x \ 1) = T(x \ 1,L(x,y,z)). [para(1346(a,1),615(a,1,1))]. 1349 (x * (y * L(y \ (x \ x),z,u))) / y = (x / y) * (y * L(y \ 1,z,u)). [hyper(189,a,932,a,b,1332,a)]. 1350 x * L(x \ (x \ (y * x)),z,u) = T(x * L(x \ y,z,u),x). [hyper(148,a,1334,a),flip(a)]. 1351 ((x * y) * L((x * y) \ x,z,u)) * y = (x * y) * (y * L(y \ 1,z,u)). [para(59(a,1),1334(a,1,2,2,1,2)),flip(a)]. 1352 T(x * L(x \ y,z,u),x) = x * L(x \ T(y,x),z,u). [para(35(a,2),1350(a,1,2,1,2)),flip(a)]. 1353 x \ T(x * L(x \ y,z,u),x) = L(x \ T(y,x),z,u). [hyper(75,a,1352,a,b,xx)]. 1354 L(x \ T(x * y,x),z,u) = x \ T(x * L(y,z,u),x). [para(16(a,1),1353(a,1,2,1,2,1)),flip(a)]. 1356 x \ T(x * L(y / x,z,u),x) = L(T(y,x) / x,z,u). [para(1178(a,1),1354(a,1,1)),flip(a)]. 1357 L(T(x * y,x) / x,z,u) = T(x * L(y,z,u),x) / x. [hyper(189,a,1181,a(flip),b,1356,a(flip))]. 1358 ((T(x,y) * (x \ 1)) * x) * L(z,(x \ 1) * x,T(T(x,x \ 1),y)) = R(T(x,y),x \ 1,x) * (((x \ 1) * x) * z). [para(1138(a,1),389(a,1,2,3))]. 1359 ((x * (y * (z \ 1))) / x) / (z \ 1) = z * ((x * (z \ y)) / x). [para(698(a,1),758(a,1,1))]. 1360 ((x * (y * ((1 / z) \ 1))) / x) / z = (1 / z) * ((x * ((1 / z) \ y)) / x). [para(69(a,1),1359(a,1,2))]. 1361 T(R(T(x,x * y),y,y \ 1) / (y \ 1),(x * y) * (y \ 1)) = x * y. [para(45(a,2),1052(a,1,1,1))]. 1362 (1 / x) * ((x \ 1) \ (K(x \ 1,x) * y)) = L(y,K(x \ 1,x),1 / x). [hyper(189,a,1086,a(flip),b,1199,a(flip)),flip(a)]. 1363 (x * (y * (1 / (1 / x)))) \ ((y * x) * L(x,x \ 1,x)) = K(y * L(x,x \ 1,x),x). [para(472(a,1),1255(a,1,1,2,2))]. 1364 (T(x,y) * ((T(x,y) \ x) / x)) * x = T(x,(1 * x) / (x * T(x,y))). [para(394(a,1),1305(a,2,2))]. 1365 (T(x,y) * ((T(x,y) \ x) / x)) * x = T(x,x / (x * T(x,y))). [para(14(a,1),1364(a,2,2,1))]. 1366 L(R(x,y,z),x \ 1,x) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). [para(166(a,1),1328(a,1,1))]. 1367 R(1 / (1 / x),y,z) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). [para(475(a,1),1366(a,1,1))]. 1368 T(T(x,x * y) * y,(x * y) * (y \ 1)) = x * y. [para(373(a,1),1361(a,1,1))]. 1369 T(T(x,x * y) * y,R(x,y,y \ 1)) = x * y. [para(369(a,1),1368(a,1,2))]. 1370 T(T(T(x,x * y) * y,z),R(x,y,y \ 1)) = T(x * y,z). [para(1369(a,1),41(a,1,1)),flip(a)]. 1371 L(L(x,y,y \ 1),K(y \ 1,y),1 / y) = (1 / y) * ((y \ 1) \ ((y \ 1) * (y * x))). [para(354(a,1),1362(a,1,2,2)),flip(a)]. 1372 x * (T(y,x) * T(T(y,x) \ 1,z)) = (y * x) * T((y * x) \ x,z). [para(113(a,1),714(a,1,2,1,1)),flip(a)]. 1373 T(x,y) * T(T(x,y) \ 1,z) = T(x * T(x \ 1,z),y). [hyper(147,a,1119,a(flip),b,1372,a),flip(a)]. 1374 T(x * T(x \ 1,y),z) = K(y \ (y / T(x,z)),y). [hyper(888,a,1373,a),flip(a)]. 1375 T(x,y) \ T(x * T(x \ 1,z),y) = T(T(x,y) \ 1,z). [hyper(80,a,1373,a)]. 1376 (x \ (x / T(x,y))) * T(x,y) = T(x * T(x \ 1,x),y). [hyper(189,a,1005,a(flip),b,1373,a(flip)),flip(a)]. 1377 T(x * T(x \ 1,T(x,y)),y) != z * T(x,y) | T(x,y) \ 1 = z. [para(1373(a,1),149(a,1)),flip(b)]. 1378 T(x \ T(x,y),z) = K(y \ (y / T(x \ 1,z)),y). [para(770(a,1),1374(a,1,1))]. 1379 K(x \ (x / T(L(y \ 1,y,x),z)),x) = T(K(y,x),z). [para(906(a,2),1374(a,1,1)),flip(a)]. 1380 T(K(x,y),L(x \ 1,x,y) \ z) = K(y \ (y / ((L(x \ 1,x,y) \ z) \ z)),y). [para(114(a,1),1379(a,1,1,2,2)),flip(a)]. 1381 T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ T(x * (x \ 1),y). [para(1133(a,1),1375(a,1,2,1,2)),flip(a)]. 1382 (x \ (x / T(x,y))) * T(x,y) = T(K(x \ 1,x),y). [para(229(a,1),1376(a,2,1))]. 1383 T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ T(1,y). [para(17(a,1),1381(a,2,2,1))]. 1385 T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ 1. [para(191(a,1),1383(a,2,2))]. 1386 T(x \ T(x,y),T(x,z) \ 1) = x \ T(x,y). [hyper(38,a,1385,a)]. 1388 K(x \ T(x,y),T(x,z) \ 1) = 1. [hyper(39,a,1386,a)]. 1389 (1 / (x / y)) \ (y / x) = ((1 * y) / x) * (x / y). [hyper(828,a,858,a),flip(a)]. 1390 (1 / (x / y)) \ (y / x) = (y / x) * (x / y). [para(14(a,1),1389(a,2,1,1))]. 1391 (1 / (x / y)) * ((y / x) * (x / y)) = y / x. [para(1390(a,1),17(a,1,2))]. 1392 (1 / ((x \ y) / y)) * ((y / (x \ y)) * ((x \ y) / y)) = x. [hyper(189,a,67,a(flip),b,1391,a)]. 1393 (1 / ((x \ y) / y)) * (x * ((x \ y) / y)) = x. [para(67(a,1),1392(a,1,2,1))]. 1394 T(1 / ((x \ y) / y),x * ((x \ y) / y)) = (x * ((x \ y) / y)) \ x. [hyper(147,a,1393,a,b,17,a)]. 1397 (x * y) * ((z * ((x * y) \ (x * u))) / z) = x * (y * ((z * (y \ u)) / z)). [para(16(a,1),936(a,2,2,2,1,2,2))]. 1398 (x * y) * ((z * ((x * y) \ x)) / z) = x * (y * ((z * (y \ 1)) / z)). [para(59(a,1),936(a,2,2,2,1,2,2))]. 1399 x \ T(x,x / (x * y)) = y * ((x * (y \ 1)) / x). [hyper(1045,a,1398,a)]. 1400 x * (y * ((x * (y \ 1)) / x)) = T(x,x / (x * y)). [hyper(1044,a,1398,a),flip(a)]. 1401 (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(102(a,1),1398(a,1,1))]. 1402 x \ T(x,x / (x * y)) = K(x,(x / y) / x). [hyper(189,a,1319,a,b,1399,a)]. 1403 T(x,R(1 / y,y,x)) = (x \ T(x,x / (x * y))) * x. [para(1399(a,2),1304(a,1,1)),flip(a)]. 1404 x * K(x,(x / y) / x) = T(x,x / (x * y)). [para(1402(a,1),17(a,1,2))]. 1405 T(x,x / (x * (y \ x))) = x * K(x,y / x). [para(67(a,1),1404(a,1,2,2,1)),flip(a)]. 1406 T(x,R(y,x,(y * x) \ x)) = x * K(x,(y * x) / x). [para(109(a,2),1405(a,1,2))]. 1407 T(x,R(y,x,(y * x) \ x)) = x * K(x,y). [para(18(a,1),1406(a,2,2,2))]. 1408 (x * y) * T((x * y) \ (y * x),x) = y * L(x,T(x,y) \ x,T(x,y)). [para(1015(a,1),940(a,2,2))]. 1409 x * L(y,T(y,x) \ y,T(y,x)) = (y * x) * T(K(x,y),y). [para(29(a,2),1408(a,1,2,1)),flip(a)]. 1410 (x * y) * K(z \ (z / K(y,x)),z) = (y * x) * T(K(x,y),z). [para(29(a,2),1079(a,1,2,1)),flip(a)]. 1411 (x * y) * (K(y,x) * T(K(y,x) \ 1,z)) = (y * x) * T(K(x,y),z). [para(886(a,1),1410(a,1,2))]. 1412 (x * y) \ ((y * x) * T(K(x,y),z)) = K(y,x) * T(K(y,x) \ 1,z). [hyper(80,a,1411,a)]. 1413 K(((x \ y) * (y \ x)) \ (x \ y),(x \ y) * (y \ x)) = y \ (x * (x \ y)). [para(1343(a,1),1081(a,2,2,2))]. 1414 x * ((x \ y) * ((z * ((x \ y) \ 1)) / z)) = y * ((z * (y \ x)) / z). [para(15(a,1),1223(a,2,2,1,2,2))]. 1415 x * K(y,(y / (x \ z)) / y) = z * ((y * (z \ x)) / y). [para(1319(a,2),1414(a,1,2))]. 1416 (x * y) * ((z * ((x * y) \ y)) / z) = y * K(z,(z / T(x,y)) / z). [para(35(a,2),1415(a,1,2,2,1,2)),flip(a)]. 1417 T(x,y) * ((T(x,y) \ T(x,z)) / T(x,z)) = K(T(x,z),1 / T(x,y)). [para(1018(a,1),1324(a,1,2,1))]. 1418 (x * L(x \ 1,y,z)) * (x * u) = x * ((x * L(x \ 1,y,z)) * u). [para(1337(a,1),1338(a,1,2)),flip(a)]. 1419 (x \ 1) * (((x \ 1) * L((x \ 1) \ 1,y,z)) * u) = (x \ L(x,y,z)) * ((x \ 1) * u). [para(854(a,1),1418(a,1,1)),flip(a)]. 1420 (x * (y * L(y \ 1,z,u))) / y = (x / y) * (y * L(y \ 1,z,u)). [para(59(a,1),1349(a,1,1,2,2,1,2))]. 1422 (x * (y * L(y \ 1,z,u))) * y = (x * y) * (y * L(y \ 1,z,u)). [para(709(a,1),1351(a,1,1))]. 1423 (x * y) * (y * L(y \ 1,y,1 / y)) = (x * (y * (1 / y))) * y. [para(277(a,1),1422(a,1,1,2,2)),flip(a)]. 1424 (x * (y * (1 / y))) * y = (x * y) * (y * (1 / y)). [para(277(a,1),1423(a,1,2,2)),flip(a)]. 1425 (1 / x) * ((y * ((1 / x) \ z)) / y) = ((y * (z * x)) / y) / x. [para(69(a,1),1360(a,1,1,1,2,2)),flip(a)]. 1426 ((x * (x * y)) / x) / y = T(x,x / (1 / y)). [hyper(1044,a,1425,a),flip(a)]. 1427 (1 / x) * ((y * ((1 / x) \ 1)) / y) = ((y * x) / y) / x. [para(14(a,1),1425(a,2,1,1,2))]. 1428 T(x,x / (1 / (x \ y))) = ((x * y) / x) / (x \ y). [para(17(a,1),1426(a,1,1,1,2)),flip(a)]. 1429 R(T(x,x / (1 / y)),y,x) = (x * (x * y)) / (y * x). [para(1426(a,1),187(a,1,1))]. 1430 K(((x \ y) * (y \ x)) \ (x \ y),(x \ y) * (y \ x)) = 1. [hyper(189,a,201,a(flip),b,1413,a)]. 1432 T(1 / (x \ y),(y \ x) * (x \ y)) = 1 / (x \ y). [para(1430(a,1),845(a,1,1)),flip(a)]. 1433 ((x \ y) * (y \ x)) \ (x \ y) = 1 / (y \ x). [hyper(189,a,1235,a(flip),b,1432,a(flip)),flip(a)]. 1434 L((x \ y) \ 1,x \ y,y \ x) = 1 / (x \ y). [hyper(310,a,1433,a)]. 1435 (((x * y) \ x) * y) \ ((x * y) \ x) = 1 / (x \ (x * y)). [para(16(a,1),1433(a,1,1,2))]. 1436 L(((x * y) \ x) \ 1,(x * y) \ x,y) = 1 / ((x * y) \ x). [para(16(a,1),1434(a,1,3))]. 1437 (((x * y) \ x) * y) \ ((x * y) \ x) = 1 / y. [para(16(a,1),1435(a,2,2))]. 1438 L(x \ 1,x,(y * x) \ y) = 1 / x. [hyper(310,a,1437,a)]. 1439 (((x * y) \ x) * y) * (1 / y) = (x * y) \ x. [para(1437(a,1),17(a,1,2))]. 1440 ((x * y) \ x) / (1 / y) = ((x * y) \ x) * y. [para(1437(a,1),67(a,1,2))]. 1441 L(x \ 1,x,x \ 1) = 1 / x. [para(14(a,1),1438(a,1,3,1))]. 1442 L(x \ 1,x,y \ (y / x)) = 1 / x. [para(19(a,1),1438(a,1,3,1))]. 1443 L(T(x \ 1,y),x,x \ 1) = T(1 / x,y). [para(1441(a,1),43(a,2,1))]. 1444 x * L(x \ (y \ x),y,y \ 1) = (y * (1 / y)) * (y \ x). [para(1441(a,1),1239(a,1,1,2)),flip(a)]. 1445 x * (y * L(y \ (x \ y),x,x \ 1)) = (x * (1 / x)) * y. [para(1441(a,1),1335(a,2,1,2))]. 1446 (x \ (x / y)) / (1 / y) = (x \ (x / y)) * y. [para(1442(a,1),283(a,1,2))]. 1447 K(x \ 1,x) * T(1 / x,y) = (x \ 1) * (x * T(x \ 1,y)). [para(1443(a,1),354(a,1,2))]. 1448 K(((x * y) \ x) \ (((x * y) \ x) * y),(x * y) \ x) * y = T(y,(x * y) \ x). [para(1440(a,1),894(a,2,1,1,2)),flip(a)]. 1449 T(1 / T(x,y),x) / (1 / T(x,y)) = (x \ (x / T(x,y))) * T(x,y). [para(995(a,2),1446(a,1,1))]. 1450 (x * ((y * x) \ y)) \ x = 1 / ((y * x) \ y). [hyper(189,a,140,a(flip),b,1436,a(flip)),flip(a)]. 1451 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(1447(a,1),498(a,1,2))]. 1452 T(1 / T(x,y),x) / (1 / T(x,y)) = T(K(x \ 1,x),y). [hyper(189,a,1382,a(flip),b,1449,a)]. 1453 K(x \ (x / (1 / (1 / T(x,y)))),x) = T(K(x \ 1,x),y). [hyper(899,a,1452,a)]. 1454 T(K(x \ 1,x),y) * (1 / T(x,y)) = x \ (x / T(x,y)). [para(1453(a,1),1004(a,1,1))]. 1456 ((x / y) * T((x / y) \ z,u)) * y = T((z * y) / x,u) * x. [para(597(a,1),592(a,1,1)),flip(a)]. 1457 (x / y) * T((x / y) \ x,z) = (x * T(y,z)) / y. [hyper(76,a,325,a(flip),b,1456,a),flip(a)]. 1458 (x * T(x \ (y * z),u)) / z = (x / z) * T((x / z) \ y,u). [hyper(76,a,323,a(flip),b,1456,a)]. 1459 (x * T(y,z)) / y = (x / y) * T(y,z). [para(69(a,1),1457(a,1,2,1)),flip(a)]. 1460 ((x / T(y,z)) / y) * T(y,z) = x / y. [hyper(189,a,185,a(flip),b,1459,a(flip))]. 1461 ((x / y) * T(y,z)) * y = x * T(y,z). [para(1459(a,1),19(a,1,1))]. 1462 ((x / y) * T(y,z)) \ (x * T(y,z)) = y. [para(1459(a,1),69(a,1,1))]. 1463 (x / y) * T(y,x) = (y * x) / y. [para(113(a,1),1459(a,1,1)),flip(a)]. 1464 ((x \ y) * y) / (x \ y) = x * T(x \ y,y). [hyper(456,a,1463,a),flip(a)]. 1465 T(x,y) \ ((x * y) / x) = T(y / x,T(x,y)). [hyper(147,a,1463,a,b,17,a),flip(a)]. 1466 T(x,y) = (y / x) \ ((x * y) / x). [hyper(80,a,1463,a),flip(a)]. 1467 (x * (y * x)) / x = y * T(x,y * x). [para(18(a,1),1463(a,1,1)),flip(a)]. 1469 T(x,y) \ ((x * y) / x) != z | T(y / x,T(x,y)) = z. [para(1463(a,1),238(a,1,2))]. 1470 (L(x \ 1,x,y) * y) / L(x \ 1,x,y) = (y * x) * T(L(x \ 1,x,y),y). [para(283(a,1),1463(a,1,1)),flip(a)]. 1471 (L(x,1 / x,y) * y) / L(x,1 / x,y) = (y * (1 / x)) * T(L(x,1 / x,y),y). [para(311(a,1),1463(a,1,1)),flip(a)]. 1472 K(x \ (x / (x \ (x / y))),x) = x \ ((y * x) / y). [para(1463(a,1),1082(a,2,2))]. 1473 x \ ((y * (x * y)) / y) = T(y,x * y). [para(18(a,1),1466(a,2,1)),flip(a)]. 1474 (x * L(x \ (y * x),z,u)) / y = (x / y) * L(T(y,x),z,u). [para(1466(a,2),1333(a,1,2,1)),flip(a)]. 1475 ((x * (1 / T(x,y))) / x) * T(x,y) = T(x,T(x,y) \ 1) / x. [para(1065(a,1),1460(a,1,1,1))]. 1476 (x * T(y,z)) * y = (x * y) * T(y,z). [para(18(a,1),1461(a,1,1,1))]. 1478 (x * T(T(y,x),z)) * T(y,x) = (y * x) * T(T(y,x),z). [para(129(a,1),1461(a,1,1,1))]. 1479 (x * T(y,z)) \ ((x * y) * T(y,z)) = y. [para(18(a,1),1462(a,1,1,1))]. 1480 T(x * T(y,x * y),y) = x * y. [para(1467(a,1),142(a,1,1))]. 1481 x * T(y,x * y) != z | (y * (x * y)) / y = z. [para(1473(a,1),203(a,1,2)),flip(b)]. 1482 x * T(y,x * y) != z * u | ((y * (x * y)) / y) / u = z. [para(1473(a,1),298(a,1,2))]. 1483 (x * y) / T(y,z) = (x / T(y,z)) * y. [hyper(420,a,1476,a)]. 1484 ((x / T(y,z)) * y) * T(y,z) = x * y. [hyper(252,a,1476,a),flip(a)]. 1486 (x * (y / z)) * T(y / z,z) = (x * (z \ y)) * (y / z). [para(115(a,1),1476(a,1,1,2)),flip(a)]. 1487 R(T(x,y * T(x,z)),y,T(x,z)) = T(x,y). [para(1479(a,1),832(a,1,1)),flip(a)]. 1489 x * T(y,z) != u * y | (u / T(y,z)) * y = x. [para(1484(a,1),23(a,1)),flip(a)]. 1490 (x * y) / T(y,z) != u | (x / T(y,z)) * y = u. [para(1484(a,1),248(a,1,1)),flip(b)]. 1491 T(x,x / (x / T(y,x))) * T(y,x) = x * y. [para(1057(a,2),1484(a,1,1))]. 1492 R(T(x,L(x,y,x) * y),y,T(x,x * y)) = T(x,y). [para(559(a,1),1487(a,1,1,2))]. 1493 T(x,y * T(y \ x,x)) = x. [para(1464(a,1),180(a,1,2))]. 1494 T(x,x * (y * T(y \ 1,x))) = x. [para(569(a,1),1493(a,1,2))]. 1495 T(x,x * K(y,x)) = x. [para(903(a,2),1494(a,1,2,2))]. 1496 T(x,x * (y \ (z * T(z \ y,x)))) = x. [para(1071(a,1),1494(a,1,2,2))]. 1497 T(x * K(y,x),x) = x * K(y,x). [hyper(38,a,1495,a)]. 1498 T(x,x * (T(x,y) \ ((y \ x) * ((y \ x) \ x)))) = x. [para(1048(a,1),1496(a,1,2,2,2,2))]. 1499 (x \ y) \ K(T(x / y,T(y,x)),T(y,x)) = T((x \ y) \ 1,T(y,x)). [para(1465(a,1),1038(a,1,2,1))]. 1500 T(x,x / (x / T(y,x))) * (y * x) = x * (x * y). [para(1491(a,1),981(a,1,2)),flip(a)]. 1501 x / T(x,y) != z | (1 / T(x,y)) * x = z. [para(14(a,1),1490(a,1,1))]. 1502 T(x,x * (T(x,y) \ x)) = x. [para(17(a,1),1498(a,1,2,2,2))]. 1503 T(T(x,y),x * (T(x,z) \ x)) = T(x,y). [para(1502(a,1),41(a,1,1)),flip(a)]. 1504 (x * (T(x,y) \ x)) \ (x * x) = T(x,y). [hyper(189,a,999,a(flip),b,1503,a(flip)),flip(a)]. 1505 (x * x) / T(x,y) = x * (T(x,y) \ x). [para(1504(a,1),67(a,1,2))]. 1506 (x * (((T(y,x) \ y) * x) \ x)) \ (x * x) = T(x,R(T(y,x),T(y,x) \ 1,x)). [para(1299(a,1),1504(a,1,1,2,1))]. 1507 (x / T(x,y)) * x = x * (T(x,y) \ x). [hyper(1490,a,1505,a)]. 1508 T(x / T(x,y),x) = T(x,y) \ x. [hyper(147,a,1483,a(flip),b,1505,a(flip))]. 1509 T(((T(x,y) \ x) * x) / (T(x,y) \ x),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). [para(1505(a,2),563(a,1,2))]. 1510 T(x,y) * T(T(x,y) \ x,x) = (T(x,y) \ x) * T(x,y). [para(1508(a,1),323(a,1,1)),flip(a)]. 1511 T(x,x / (x / T(y,x))) = (x * (x * y)) / (y * x). [hyper(88,a,1500,a),flip(a)]. 1512 (x * (x * y)) / (y * x) = (x / T(y,x)) * y. [hyper(189,a,1057,a(flip),b,1511,a(flip))]. 1513 R(T(x,x / (1 / y)),y,x) = (x / T(y,x)) * y. [hyper(189,a,1429,a,b,1512,a(flip)),flip(a)]. 1514 (T(x,y) * z) * T(x,z) = (x * z) * T(T(x,z),y). [para(158(a,1),1478(a,1,1))]. 1515 T(T(x,x * y) * y,T(x,y)) = x * y. [hyper(147,a,1514,a,b,113,a(flip))]. 1516 T(T(x,x \ 1),y) / T(x,x \ 1) = T(x,y) * (x \ 1). [hyper(76,a,61,a(flip),b,1514,a)]. 1519 T(x * y,R(x,y,y \ 1)) = T(x * y,T(x,y)). [para(1515(a,1),1370(a,1,1))]. 1520 T((x / y) * y,T(x / y,y)) = T(x,R(x / y,y,y \ 1)). [para(19(a,1),1519(a,1,1)),flip(a)]. 1521 (x * (y / z)) * (z \ y) = (x * (z \ y)) * (y / z). [para(115(a,1),1486(a,1,2))]. 1522 (x * (y \ (y * z))) * ((y * z) / y) = (x * ((y * z) / y)) * z. [para(142(a,1),1486(a,1,2)),flip(a)]. 1523 (x * ((y / z) \ y)) * (y / (y / z)) = (x * (y / (y / z))) * z. [para(164(a,1),1486(a,1,2)),flip(a)]. 1524 (1 / (x / y)) * (y \ x) = (y \ x) / (x / y). [hyper(423,a,1521,a),flip(a)]. 1525 (x * (y \ z)) / (z / y) = (x / (z / y)) * (y \ z). [hyper(420,a,1521,a)]. 1526 (x \ y) \ ((x \ y) / (y / x)) = T(1 / (y / x),x \ y). [hyper(147,a,1524,a,b,17,a),flip(a)]. 1528 T(T(x,x \ 1),y) / T(x,x \ 1) = x \ T(x,y). [hyper(189,a,773,a(flip),b,1516,a)]. 1529 K(T(1 / (1 / x),x \ 1),x \ 1) = T(x,x \ 1) / x. [para(1526(a,1),889(a,1,1))]. 1530 T(x,x \ 1) / x = K(x,x \ 1). [para(952(a,1),1529(a,1,1)),flip(a)]. 1531 K(x,1 / x) = K(x,x \ 1). [hyper(602,a,1530,a)]. 1532 K(x,x \ 1) * x = T(x,x \ 1). [para(1530(a,1),19(a,1,1))]. 1533 ((x \ 1) \ 1) / x = K(x,x \ 1). [para(114(a,1),1530(a,1,1))]. 1535 K(x,x \ 1) = x * (1 / x). [hyper(305,a,1531,a),flip(a)]. 1536 K((x / y) \ x,1 / y) = K(y,y \ 1). [hyper(189,a,1216,a,b,1531,a(flip)),flip(a)]. 1537 x \ K(x,x \ 1) = 1 / x. [hyper(75,a,1531,a(flip),b,168,a(flip))]. 1538 K(x \ 1,(x \ 1) \ 1) = K(x \ 1,x). [para(67(a,1),1531(a,1,2)),flip(a)]. 1539 K(x,x \ 1) != y | x * (1 / x) = y. [para(1531(a,1),305(a,1))]. 1540 K(x,x \ 1) * x = (x \ 1) \ 1. [para(1531(a,1),492(a,1,1))]. 1541 (x \ 1) * K(x,x \ 1) = 1 / x. [para(1531(a,1),1091(a,1,2))]. 1542 T(x,y) \ K(x,x \ 1) != z | x * (T(x,y) \ (1 / x)) = z. [para(1531(a,1),1059(a,1,2))]. 1543 R(x \ 1,x,y) \ (((y / (x * y)) * x) * (1 / x)) = K(x,x \ 1). [hyper(189,a,1095,a,b,1535,a),flip(a)]. 1544 (1 / (1 / (1 / x))) * x = K(x,x \ 1). [hyper(189,a,955,a,b,1535,a),flip(a)]. 1545 K(x \ 1,x) \ 1 = x * (1 / x). [hyper(189,a,321,a,b,1535,a(flip)),flip(a)]. 1547 R(x,y,1 / y) * K(y,y \ 1) = (x * y) * (1 / y). [para(1535(a,2),110(a,1,2))]. 1548 K(x,x \ 1) * y != x * ((1 / x) * z) | L(z,1 / x,x) = y. [para(1535(a,2),346(a,1,1))]. 1550 (T((x / (1 / y)) / y,z) * y) * (1 / y) = T(x / (y * (1 / y)),z) * K(y,y \ 1). [para(1535(a,2),719(a,2,2))]. 1551 L(x,y,z) \ K(x,x \ 1) = x * (L(x,y,z) \ (1 / x)). [para(1535(a,2),963(a,1,2))]. 1552 (x * K(y,y \ 1)) * y = (x * y) * (y * (1 / y)). [para(1535(a,2),1424(a,1,1,2))]. 1553 x * L(x \ (y \ x),y,y \ 1) = K(y,y \ 1) * (y \ x). [para(1535(a,2),1444(a,2,1))]. 1554 x * (1 / x) != y | K(x,x \ 1) = y. [para(1537(a,1),203(a,1,2)),flip(b)]. 1555 x \ ((x / y) * K(y,y \ 1)) = L(1 / y,y,x / y). [para(1537(a,1),364(a,1,1)),flip(a)]. 1556 T(x,x \ 1) * y != K(x,x \ 1) * (x * z) | L(z,x,K(x,x \ 1)) = y. [para(1532(a,1),346(a,1,1))]. 1558 ((x \ 1) \ 1) / L(y \ x,y,K(x,x \ 1)) = K(x,x \ 1) * y. [para(1540(a,1),341(a,1,1))]. 1559 K(x,1 / x) != y | K(x,x \ 1) = y. [para(168(a,2),1554(a,1))]. 1560 (1 / (1 / (1 / x))) * x != y | K(x,x \ 1) = y. [para(955(a,2),1554(a,1))]. 1561 (K(x,x \ 1) * y) / (x * y) != z | R(1 / (1 / (1 / x)),x,y) = z. [para(1544(a,1),385(a,1,1,1))]. 1562 (x * K(y,y \ 1)) * y = (x * y) * K(y,y \ 1). [para(1535(a,2),1552(a,2,2))]. 1563 x \ ((y * x) * K(x,x \ 1)) = T(y * K(x,x \ 1),x). [hyper(147,a,1562,a,b,17,a),flip(a)]. 1564 (x * K(y,y \ 1)) \ ((x * y) * K(y,y \ 1)) = y. [hyper(80,a,1562,a)]. 1566 R(T(x,y * K(x,x \ 1)),y,K(x,x \ 1)) = T(x,y). [para(1564(a,1),832(a,1,1)),flip(a)]. 1567 T((x / y) * K(y,y \ 1),y) = y \ (x * K(y,y \ 1)). [para(19(a,1),1563(a,1,2,1)),flip(a)]. 1568 T((x / y) * y,T(x / y,y)) = T(x,x * (y \ 1)). [para(445(a,1),1520(a,2,2))]. 1569 T(x,T(x / y,y)) = T(x,x * (y \ 1)). [para(19(a,1),1568(a,1,1))]. 1570 T(x,x * (y \ 1)) = T(x,y \ x). [para(115(a,1),1569(a,1,2)),flip(a)]. 1571 x * (K(x,x \ 1) * (x \ y)) = (x * (1 / x)) * y. [para(1553(a,1),1445(a,1,2))]. 1572 K(x,x \ 1) * (x \ 1) = 1 / x. [hyper(20,a,15,a(flip),b,1571,a)]. 1573 x * (K(x,x \ 1) * (x \ y)) = K(x,x \ 1) * y. [para(1535(a,2),1571(a,2,1))]. 1574 (1 / x) / L(y,(x \ 1) / y,K(x,x \ 1)) = K(x,x \ 1) * ((x \ 1) / y). [para(1572(a,1),398(a,1,1))]. 1575 K(x,x \ 1) * (x * y) = x * (K(x,x \ 1) * y). [para(16(a,1),1573(a,1,2,2)),flip(a)]. 1576 (x \ 1) * (K(x \ 1,x) * ((x \ 1) \ y)) = K(x \ 1,(x \ 1) \ 1) * y. [para(1538(a,1),1573(a,1,2,1))]. 1577 K(x,x \ 1) * y != x * (K(x,x \ 1) * z) | x * z = y. [para(1575(a,1),22(a,1)),flip(a)]. 1578 (x / y) * T((x / y) \ 1,z) = (x * T(x \ y,z)) / y. [para(14(a,1),1458(a,1,1,2,1,2)),flip(a)]. 1579 (x / y) * T((x / y) \ z,x) = ((x \ (z * y)) * x) / y. [para(113(a,1),1458(a,1,1)),flip(a)]. 1580 ((x * y) / z) * T(((x * y) / z) \ x,u) = (x * (y * T(y \ z,u))) / z. [para(712(a,1),1458(a,1,1)),flip(a)]. 1581 ((x * T(y,z)) / T(y,z)) * T(((x * T(y,z)) / T(y,z)) \ (x * y),u) = ((x * T(y,z)) * T(y,u)) / T(y,z). [para(1479(a,1),1458(a,1,1,2,1)),flip(a)]. 1582 K(x \ (x / (y / z)),x) = (y * T(y \ z,x)) / z. [hyper(888,a,1578,a)]. 1583 K((x * (y / z)) \ x,x * (y / z)) = (y * T(y \ z,x * (y / z))) / z. [hyper(189,a,844,a,b,1578,a(flip)),flip(a)]. 1584 K(x \ (x / (y / z)),x) * z = y * T(y \ z,x). [para(1582(a,2),19(a,1,1))]. 1585 K(x \ (x / R(y,z,u)),x) = (((y * z) * u) * T(((y * z) * u) \ (z * u),x)) / (z * u). [para(33(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(1048(a,1),1582(a,2,1,2))]. 1587 K((x / y) \ 1,x / y) * y = x * T(x \ y,x / y). [para(64(a,1),1584(a,1,1,1,2))]. 1588 K((x / (y * x)) \ 1,x / (y * x)) * (y * x) = T(y,x / (y * x)) * x. [hyper(189,a,322,a(flip),b,1587,a)]. 1589 (x / y) * L(T(y,x),z,u) = (L(y,z,u) * x) / y. [para(500(a,1),1474(a,1,1)),flip(a)]. 1590 (L(x,y,z) * (u * x)) / x = u * L(T(x,u * x),y,z). [para(18(a,1),1589(a,1,1)),flip(a)]. 1591 T(x * L(T(y,x * y),z,u),y) = y \ (L(y,z,u) * (x * y)). [para(1590(a,1),115(a,1,1))]. 1592 T(x,y) * ((x * (T(x,y) \ 1)) / x) = T(x,T(x,y) \ 1) / x. [hyper(761,a,1475,a)]. 1593 (x * ((y * z) / y)) * z = (x * z) * ((y * z) / y). [para(16(a,1),1522(a,1,1,2)),flip(a)]. 1594 (1 / ((x * y) / x)) * y = y / ((x * y) / x). [hyper(423,a,1593,a),flip(a)]. 1595 ((x / y) * y) * ((x * y) / x) = T(x,x / (x / y)) * y. [para(1042(a,1),1593(a,1,1)),flip(a)]. 1596 T(x,x / (x / y)) * y = x * ((x * y) / x). [hyper(252,a,1595,a),flip(a)]. 1597 T(x,x / (x / y)) * (x \ y) = (x * y) / x. [hyper(980,a,1596,a)]. 1599 ((x * y) / x) / (x \ y) = T(x,x / (x / y)). [hyper(88,a,1597,a)]. 1601 T(x,x / (1 / (x \ y))) = T(x,x / (x / y)). [hyper(189,a,1428,a,b,1599,a(flip)),flip(a)]. 1602 T(x,x / (x / (x * y))) = T(x,x / (1 / y)). [para(16(a,1),1601(a,1,2,2,2)),flip(a)]. 1603 ((x / y) * (x / (x / y))) * y = x * (x / (x / y)). [hyper(411,a,1523,a),flip(a)]. 1604 (x * (y / (y / z))) * z = (x * z) * (y / (y / z)). [para(69(a,1),1523(a,1,1,2)),flip(a)]. 1606 (1 / (x / (x / y))) * y = y / (x / (x / y)). [hyper(423,a,1604,a),flip(a)]. 1607 x / (1 / (1 / x)) = K(x,x \ 1). [hyper(1560,a,1606,a),flip(a)]. 1608 x / (1 / (1 / x)) = K(x,1 / x). [hyper(189,a,1531,a,b,1607,a)]. 1609 K(x,x \ 1) * (1 / (1 / x)) = x. [para(1607(a,1),19(a,1,1))]. 1610 K(x,1 / x) * (1 / (1 / x)) = x. [para(1608(a,1),19(a,1,1))]. 1611 L(1 / (1 / x),K(x,x \ 1),y) = (y * K(x,x \ 1)) \ (y * x). [para(1609(a,1),31(a,2,2,2))]. 1612 x * L(y,1 / (1 / x),K(x,x \ 1)) = K(x,x \ 1) * ((1 / (1 / x)) * y). [para(1609(a,1),102(a,1,1))]. 1613 L(x,1 / x,x) = 1 / (1 / x). [hyper(466,a,1610,a)]. 1614 L(T(x,y),1 / x,x) = T(1 / (1 / x),y). [para(1613(a,1),43(a,2,1))]. 1615 K(x,1 / x) \ (x * (T(x,y) / x)) = T(1 / (1 / x),y). [hyper(189,a,808,a,b,1614,a(flip)),flip(a)]. 1616 K(x,1 / x) * T(1 / (1 / x),y) = x * (T(x,y) / x). [para(1615(a,1),17(a,1,2))]. 1617 K(x,x \ 1) * T(1 / (1 / x),y) = x * (T(x,y) / x). [para(1531(a,1),1616(a,1,1))]. 1618 T(x * L(T(y,x * y),z,u),y) = L(y,z,u) * (y \ (x * y)). [hyper(189,a,961,a(flip),b,1591,a)]. 1619 T(x,y) * ((T(x,y) \ x) / x) = T(x,T(x,y) \ 1) / x. [para(987(a,1),1592(a,1,2,1))]. 1620 x * (T(x,T(x,y) \ 1) / x) = T(x,x / (x * T(x,y))). [para(1592(a,1),1400(a,1,2))]. 1621 (T(x,T(x,y) \ 1) / x) * x = T(x,x / (x * T(x,y))). [para(1619(a,1),1365(a,1,1))]. 1622 T(x,x / (x * T(x,y))) = T(x,T(x,y) \ 1). [hyper(200,a,1621,a)]. 1624 x * (T(x,T(x,y) \ 1) / x) = T(x,T(x,y) \ 1). [hyper(189,a,1620,a,b,1622,a(flip)),flip(a)]. 1625 x * (T(x,y) * ((T(x,y) \ x) / x)) = T(x,T(x,y) \ 1). [para(1619(a,2),1624(a,1,2))]. 1626 T(x * L(T(y,x * y),z,u),y) = L(y,z,u) * T(x,y). [para(35(a,2),1618(a,2,2))]. 1627 (x \ y) * T((x \ y) \ 1,T(y,x)) = K(T(x / y,T(y,x)),T(y,x)). [para(1499(a,1),17(a,1,2))]. 1628 K(T(x / y,T(y,x)),T(y,x)) = x \ (y * T(y \ x,T(y,x))). [hyper(189,a,1071,a(flip),b,1627,a(flip))]. 1629 T(x,x \ 1) * y != x * (K(x,x \ 1) * z) | L(z,x,K(x,x \ 1)) = y. [para(1575(a,1),1556(a,2))]. 1630 (x \ 1) * (K(x \ 1,x) * ((x \ 1) \ y)) = K(x \ 1,x) * y. [para(1538(a,1),1576(a,2,1))]. 1631 (x \ 1) \ (K(x \ 1,x) * y) = K(x \ 1,x) * ((x \ 1) \ y). [hyper(80,a,1630,a)]. 1632 K(x \ (x / ((y \ x) / T(x,y))),x) = x / T(x,y). [para(17(a,1),1586(a,2,1))]. 1633 (x * y) * R((x * y) \ (z * y),u,w) = (R(z / x,u,w) * x) * y. [hyper(639,a,664,a),flip(a)]. 1634 (x * y) * R((x * y) \ (z * y),u,w) = (x * R(x \ z,u,w)) * y. [para(510(a,1),1633(a,2,1))]. 1635 ((x / y) * R((x / y) \ z,u,w)) * y = x * R(((x / y) * y) \ (z * y),u,w). [hyper(252,a,1634,a),flip(a)]. 1636 x * (y * R(y \ (x \ (z * y)),u,w)) = (x * R(x \ z,u,w)) * y. [hyper(189,a,810,a(flip),b,1634,a(flip)),flip(a)]. 1637 x * R(x \ (x \ (y * x)),z,u) = T(x * R(x \ y,z,u),x). [hyper(147,a,1634,a(flip),b,810,a(flip)),flip(a)]. 1638 (x \ (y * z)) * R((x \ (y * z)) \ z,u,w) = x \ ((y * R(y \ x,u,w)) * z). [hyper(75,a,1634,a(flip),b,934,a),flip(a)]. 1639 (x * y) * R((x * y) \ y,z,u) = (x * R(x \ 1,z,u)) * y. [para(14(a,1),1634(a,1,2,1,2))]. 1640 (x * R(x \ (x * y),z,u)) * y = (x * y) * R(y,z,u). [para(16(a,1),1634(a,1,2,1)),flip(a)]. 1643 (x * R(y,z,u)) * y = (x * y) * R(y,z,u). [para(16(a,1),1640(a,1,1,2,1))]. 1644 ((x / R(y,z,u)) * y) \ (x * y) = R(y,z,u). [hyper(430,a,1643,a)]. 1645 (x * R(y,z,u)) \ ((x * y) * R(y,z,u)) = y. [hyper(80,a,1643,a)]. 1646 (x * R(y,z,u)) / y = (x / y) * R(y,z,u). [hyper(76,a,90,a(flip),b,1643,a)]. 1647 ((x / y) * R(y,z,u)) \ (x * R(y,z,u)) = y. [hyper(75,a,90,a(flip),b,1643,a)]. 1648 (x * T(y,x)) * R(T(y,x),z,u) = (R(y,z,u) * x) * T(y,x). [para(160(a,1),1643(a,1,1)),flip(a)]. 1649 (x * y) / R(y,z,u) != w | (x / R(y,z,u)) * y = w. [para(1644(a,1),246(a,1,2)),flip(b)]. 1650 (x * T(x \ (x * y),z)) * R(y,u,w) = (x * R(y,u,w)) * T(y,z). [para(1645(a,1),1100(a,1,2,1)),flip(a)]. 1651 T(x * R(x \ y,z,u),x) = x * R(x \ T(y,x),z,u). [para(35(a,2),1637(a,1,2,1,2)),flip(a)]. 1652 T(x * R(x \ 1,y,z),x) = x * R(x \ 1,y,z). [para(191(a,1),1651(a,2,2,1,2))]. 1653 T(x,x * R(x \ 1,y,z)) = x. [hyper(38,a,1652,a)]. 1654 T(x * ((x * R(x \ 1,y,z)) / x),x) = x * ((x * R(x \ 1,y,z)) / x). [para(1652(a,1),1176(a,2,2,1))]. 1655 T(1 / x,(1 / x) * R(x,y,z)) = 1 / x. [para(69(a,1),1653(a,1,2,2,1))]. 1656 T(x,(y / (x * y)) * x) = x. [para(522(a,2),1653(a,1,2))]. 1657 T(x \ 1,R(x,y,z) * (x \ 1)) = x \ 1. [para(513(a,1),1653(a,1,2))]. 1658 T(x \ 1,x \ R(x,y,z)) = x \ 1. [para(865(a,1),1653(a,1,2))]. 1659 T(x,y / (x * y)) * T(y / (x * y),x) = T(x * (y / (x * y)),x). [para(1656(a,1),1014(a,1,1,1)),flip(a)]. 1660 T(T(x \ 1,y),x \ R(x,z,u)) = T(x \ 1,y). [para(1658(a,1),41(a,1,1)),flip(a)]. 1661 (R(x,y,z) * (1 / x)) / R(x,y,z) = L(1 / x,R(x,y,z),1 / x). [para(1655(a,1),561(a,1,1,2))]. 1662 R(x \ 1,R(x,y,z),x \ 1) = T(x \ 1,R(x,y,z)). [para(1657(a,1),615(a,1,1))]. 1663 x * ((x * y) * R((x * y) \ y,z,u)) = (x * R(x \ 1,z,u)) * (x * y). [hyper(189,a,809,a(flip),b,1639,a(flip)),flip(a)]. 1664 (R(x,y,z) * u) * T(x,u) = (x * u) * R(T(x,u),y,z). [para(113(a,1),1648(a,1,1)),flip(a)]. 1665 (x * T(y,z)) * R(y,u,w) = (x * R(y,u,w)) * T(y,z). [para(16(a,1),1650(a,1,1,2,1))]. 1666 (x * R(y,z,u)) * T(y,x) = (y * x) * R(y,z,u). [para(113(a,1),1665(a,1,1)),flip(a)]. 1667 R(x,y,R(x,z,u)) * (y * R(x,z,u)) = (y * R(x,z,u)) * T(x,y). [hyper(189,a,110,a,b,1666,a),flip(a)]. 1669 T(x,y / (x * y)) * R(x \ 1,x,y) = T(x * (y / (x * y)),x). [para(517(a,1),1659(a,1,2))]. 1670 T(L(1 / x,R(x,y,z),1 / x),x) = (x \ R(x,y,z)) / R(x,y,z). [para(1661(a,1),873(a,1,1))]. 1671 L(x \ 1,R(x,y,z),1 / x) = (x \ R(x,y,z)) / R(x,y,z). [hyper(674,a,1670,a)]. 1672 T(x * ((x * R(x \ 1,y,z)) / x),x) = x * R(1 / x,y,z). [para(516(a,1),1654(a,2,2))]. 1673 T(x * R(1 / x,y,z),x) = x * R(1 / x,y,z). [para(516(a,1),1672(a,1,1,2))]. 1674 T(x * (y / (x * y)),x) = x * R(1 / x,x,y). [para(141(a,1),1673(a,1,1,2))]. 1675 T(x * (y / (x * y)),x) = x * (y / (x * y)). [para(141(a,1),1674(a,2,2))]. 1676 T(x,x * (y / (x * y))) = x. [hyper(38,a,1675,a)]. 1677 T(x,y / (x * y)) * R(x \ 1,x,y) = x * (y / (x * y)). [hyper(189,a,1669,a,b,1675,a(flip)),flip(a)]. 1678 T(x,x * ((x \ y) / y)) = x. [para(17(a,1),1676(a,1,2,2,2))]. 1679 T(x / y,(x / y) * (y / x)) = x / y. [para(19(a,1),1676(a,1,2,2,2))]. 1680 T((x \ y) \ y,x * ((x \ z) / z)) = T(x,x \ y). [para(1678(a,1),221(a,1,1)),flip(a)]. 1681 T(x \ y,(y / x) * (x / y)) = T(y / x,x). [para(1679(a,1),161(a,1,1)),flip(a)]. 1682 T(x \ y,(y / x) * (x / y)) = x \ y. [hyper(189,a,115,a(flip),b,1681,a)]. 1683 K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)) = (y * (y \ x)) / x. [para(1682(a,1),1583(a,2,1,2))]. 1684 K((x * ((x \ y) / y)) \ x,x * ((x \ y) / y)) = ((x \ y) * T(x,x \ y)) / y. [para(1680(a,1),1583(a,2,1,2))]. 1685 (x * R(x \ 1,y,z)) * (x * u) = x * ((x * R(x \ 1,y,z)) * u). [para(1639(a,1),1663(a,1,2)),flip(a)]. 1686 (x \ 1) * (((x \ 1) * R((x \ 1) \ 1,y,z)) * u) = (x \ R(x,y,z)) * ((x \ 1) * u). [para(865(a,1),1685(a,1,1)),flip(a)]. 1687 K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)) = x / x. [para(17(a,1),1683(a,2,1))]. 1688 K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)) = 1. [hyper(189,a,64,a(flip),b,1687,a)]. 1690 R((x * (y * z)) / (x * y),u,w) = (x * (y * R(z,u,w))) / (x * y). [para(351(a,1),677(a,1,1)),flip(a)]. 1691 (T(x,y) * (1 / x)) / T(x,y) = L(1 / x,T(x,y),1 / x). [hyper(189,a,1141,a(flip),b,799,a(flip)),flip(a)]. 1693 T(L(1 / x,T(x,y),1 / x),x) = (T(x,y) * (x \ 1)) / T(x,y). [para(1691(a,1),546(a,1,1))]. 1694 (T(x,y) * (x \ 1)) / T(x,y) = L(x \ 1,T(x,y),1 / x). [hyper(674,a,1693,a),flip(a)]. 1695 x * L(x \ 1,T(x,y),1 / x) = K(T(x,y),1 / x). [para(1694(a,1),1322(a,1,2))]. 1696 x * T(T(x \ (y * x),z),u) = y * (T(T(y,z),u) * (y \ x)). [para(825(a,1),944(a,1,2))]. 1697 x * T(T(T(y,x),z),u) = y * (T(T(y,z),u) * (y \ x)). [para(35(a,2),1696(a,1,2,1,1))]. 1698 x * (T(T(x,y),z) * (x \ u)) = T(T(x,y),z) * u. [hyper(572,a,1697,a),flip(a)]. 1699 L(T(x,y),y,K(x \ 1,x)) != z | T(x,K(x \ 1,x) * y) = z. [para(1193(a,1),238(a,1))]. 1700 (L(x \ 1,x,y) * y) / L(x \ 1,x,y) = y * (x * T(x \ 1,y)). [hyper(189,a,350,a(flip),b,1470,a)]. 1701 x \ ((L(y \ 1,y,x) * x) / L(y \ 1,y,x)) = (x * (y * T(y \ 1,x))) * (x \ 1). [para(1700(a,1),1106(a,1,1)),flip(a)]. 1702 (x * (((T(y,x) \ y) * x) \ x)) \ (x * x) = (T(y,x) \ y) * x. [hyper(189,a,1299,a(flip),b,1506,a)]. 1703 (T(x,y) * (L(x,z,u) * y)) \ ((y * L(T(x,y),z,u)) * T(T(x,y),y)) = a(T(x,y),y,L(T(x,y),z,u)). [para(1270(a,2),499(a,1,2))]. 1704 a(x,y,z) = L(L(z,y,x) \ z,(x * y) \ (x * (y * z)),x * y). [para(31(a,2),581(a,2,1,1))]. 1705 (((x / y) * (1 / (x / y))) * y) / x = ((x / y) * (y / x)) / (x / y). [para(19(a,1),830(a,1,1,2,2)),flip(a)]. 1706 (K(x / y,(x / y) \ 1) * y) / x = ((x / y) * (y / x)) / (x / y). [para(1535(a,2),1705(a,1,1,1))]. 1707 (x \ 1) * ((x \ T(x,y)) * ((x \ 1) \ z)) = (x \ T(x,y)) * z. [para(770(a,1),1157(a,2,1))]. 1708 (x \ T(x,y)) * ((x \ 1) \ ((x \ 1) / (x \ T(x,y)))) = K(x \ T(x,y),(x \ 1) / (x \ T(x,y))). [hyper(20,a,214,a,b,1707,a)]. 1709 a(x,x \ y,T(z,x * (x \ y))) = (L(z,x \ y,x) * y) \ (z * y). [para(17(a,1),1220(a,1,2,2)),flip(a)]. 1710 (L(x,y \ z,y) * z) \ (x * z) = a(y,y \ z,T(x,z)). [para(17(a,1),1709(a,1,3,2)),flip(a)]. 1712 R((x \ 1) \ (x \ y),z,u) * (x \ 1) = x \ R(T(y,x \ 1),z,u). [para(17(a,1),1284(a,1,2,1)),flip(a)]. 1713 (x \ R(T(y,x \ 1),z,u)) / (x \ 1) = R((x \ 1) \ (x \ y),z,u). [hyper(88,a,1712,a)]. 1715 R((x \ 1) \ (x \ y),z,u) = (x \ 1) \ (x \ R(y,z,u)). [hyper(189,a,805,a(flip),b,1713,a(flip))]. 1716 x \ ((y * x) * R((y * x) \ x,z,u)) = T(y,x) * R(T(y,x) \ 1,z,u). [para(35(a,2),1317(a,2,2,1,1))]. 1717 x \ ((y * R(y \ 1,z,u)) * x) = T(y,x) * R(T(y,x) \ 1,z,u). [para(1639(a,1),1716(a,1,2))]. 1718 T(x,y) * R(T(x,y) \ 1,z,u) != w | T(x * R(x \ 1,z,u),y) = w. [para(1717(a,1),238(a,1))]. 1719 K(x,(y * x) \ y) * x = T(x,(y * x) \ y). [para(16(a,1),1448(a,1,1,1))]. 1720 T(x,(y * x) \ y) / x = K(x,(y * x) \ y). [hyper(88,a,1719,a)]. 1722 ((x / y) * R((x / y) \ z,u,w)) * y = x * R(x \ (z * y),u,w). [para(19(a,1),1635(a,2,2,1,1))]. 1723 (x * R(x \ (y * z),u,w)) / z = (x / z) * R((x / z) \ y,u,w). [hyper(88,a,1722,a)]. 1724 (x / y) * R((x / y) \ 1,z,u) = (x * R(x \ y,z,u)) / y. [para(14(a,1),1723(a,1,1,2,1,2)),flip(a)]. 1725 (((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(33(a,2),1724(a,1,1)),flip(a)]. 1726 (x \ ((y \ x) * z)) * R((x \ ((y \ x) * z)) \ z,u,w) = x \ ((R(y,u,w) * (y \ x)) * z). [para(513(a,1),1638(a,2,2,1))]. 1727 K((x * ((x \ y) / y)) \ x,x * ((x \ y) / y)) = y / y. [para(145(a,1),1684(a,2,1))]. 1728 K((x * ((x \ y) / y)) \ x,x * ((x \ y) / y)) = 1. [hyper(189,a,64,a(flip),b,1727,a)]. 1730 T(1 / ((x \ y) / y),x * ((x \ y) / y)) = 1 / ((x \ y) / y). [para(1728(a,1),845(a,1,1)),flip(a)]. 1731 (x * ((x \ y) / y)) \ x = 1 / ((x \ y) / y). [hyper(189,a,1394,a(flip),b,1730,a(flip)),flip(a)]. 1732 ((x / y) * (y / x)) \ (x / y) = 1 / (((x / y) \ x) / x). [para(69(a,1),1731(a,1,1,2,1))]. 1733 ((x / y) * (y / x)) \ (x / y) = 1 / (y / x). [para(69(a,1),1732(a,2,2,1))]. 1734 ((x / y) * (y / x)) * (1 / (y / x)) = x / y. [para(1733(a,1),17(a,1,2))]. 1736 K(1 / (x / y),(y / x) * (x / y)) = 1. [para(1733(a,1),1688(a,1,1))]. 1737 K(1 / x,(y / (x * y)) * ((x * y) / y)) = 1. [para(18(a,1),1736(a,1,1,2))]. 1738 ((x * y) / y) * (y / (x * y)) = x / (1 / (y / (x * y))). [hyper(76,a,18,a(flip),b,1734,a),flip(a)]. 1739 K(1 / x,(y / (x * y)) * x) = 1. [para(18(a,1),1737(a,1,2,2))]. 1740 T(1 / x,(y / (x * y)) * x) = 1 / x. [hyper(40,a,1739,a)]. 1741 L(x \ 1,x,y / (x * y)) = 1 / x. [hyper(1282,a,1740,a)]. 1742 L(x \ 1,x,R(1 / x,x,y)) = 1 / x. [para(141(a,2),1741(a,1,3))]. 1743 ((x / (y * x)) * y) * (1 / y) = x / (y * x). [para(1741(a,1),278(a,1,2))]. 1744 R(1 / x,x,y) / (1 / x) = R(1 / x,x,y) * x. [para(1742(a,1),283(a,1,2))]. 1745 R(x \ 1,x,y) \ (y / (x * y)) = K(x,x \ 1). [para(1743(a,1),1543(a,1,2))]. 1746 x / (y * x) = R(y \ 1,y,x) * K(y,y \ 1). [para(1745(a,1),17(a,1,2)),flip(a)]. 1747 T(1 / (1 / x),R(1 / x,x,y)) = x. [hyper(879,a,1744,a)]. 1748 T(1 / (1 / (x / y)),y / x) = x / y. [para(287(a,1),1747(a,1,2))]. 1749 T(x,R(1 / x,x,y)) = T(x,x \ 1). [para(1747(a,1),953(a,1,1)),flip(a)]. 1750 x * K(x,1 / x) = T(x,x \ 1). [hyper(189,a,1407,a(flip),b,1749,a(flip)),flip(a)]. 1751 T(x,y / (x * y)) = T(x,x \ 1). [para(141(a,1),1749(a,1,2))]. 1752 T(x,(x \ y) / y) = T(x,x \ 1). [para(286(a,1),1749(a,1,2))]. 1753 x \ ((x \ 1) \ 1) = K(x,1 / x). [hyper(75,a,114,a(flip),b,1750,a)]. 1754 x * K(x,x \ 1) = T(x,x \ 1). [para(1531(a,1),1750(a,1,2))]. 1755 T(x,y / (x * y)) = (x \ 1) \ 1. [hyper(189,a,114,a(flip),b,1751,a)]. 1756 K((x / (y * x)) \ 1,x / (y * x)) * (y * x) = T(y,y \ 1) * x. [para(1751(a,1),1588(a,2,1))]. 1757 ((x \ y) / y) * T(x,x \ 1) != z | x * ((x \ y) / y) = z. [para(1752(a,1),205(a,1,2))]. 1758 x \ (x \ ((x \ 1) \ 1)) = 1 / x. [hyper(75,a,1753,a,b,168,a(flip))]. 1759 x \ (T(x,y) \ ((x \ 1) \ 1)) = T(x,y) \ K(x,1 / x). [hyper(75,a,1753,a(flip),b,978,a),flip(a)]. 1760 x \ ((x \ 1) \ 1) != y | K(x,x \ 1) = y. [para(1753(a,2),1559(a,1))]. 1761 x * K(x,x \ 1) = (x \ 1) \ 1. [hyper(189,a,114,a(flip),b,1754,a)]. 1762 T(x,x \ 1) * L(y,K(x,x \ 1),x) = x * (K(x,x \ 1) * y). [para(1754(a,1),102(a,1,1))]. 1764 (T(x,x \ 1) * y) / (K(x,x \ 1) * y) != z | R(x,K(x,x \ 1),y) = z. [para(1754(a,1),385(a,1,1,1))]. 1765 T(x / y,y / x) = ((x / y) \ 1) \ 1. [para(19(a,1),1755(a,1,2,2))]. 1767 ((x / y) * (y / x)) / (x / y) = 1 / (1 / (y / x)). [para(1748(a,1),143(a,1,1,2))]. 1769 (x / y) * (((y / x) \ 1) \ 1) = (y / x) * (x / y). [para(1765(a,1),113(a,1,2))]. 1770 ((((x * y) / x) \ 1) \ 1) * x = x * T(y,x / (x * y)). [para(1765(a,1),325(a,1,1))]. 1771 x \ T(x,y / (x * y)) != z | K(x,x \ 1) = z. [para(1755(a,2),1760(a,1,2))]. 1772 x / (1 / (y / (x * y))) = x * (y / (x * y)). [para(18(a,1),1738(a,1,1)),flip(a)]. 1773 K(x \ (x * (y / (x * y))),x) = R(x \ 1,x,y) / (y / (x * y)). [para(1772(a,1),895(a,1,1,2))]. 1774 x \ (T(x,y) \ ((x \ 1) \ 1)) = x * (T(x,y) \ (1 / x)). [hyper(189,a,1009,a(flip),b,1759,a)]. 1775 T(x,((y * x) / y) \ 1) = T(x,y / (y * x)). [hyper(945,a,1770,a)]. 1776 ((x \ 1) \ 1) * (x \ (T(x,y) \ 1)) = x * (T(x,y) \ (1 / x)). [hyper(189,a,1307,a,b,1774,a(flip)),flip(a)]. 1777 L(x,K(y,y \ 1),y) = L(x,y,K(y,y \ 1)). [hyper(1629,a,1762,a),flip(a)]. 1778 R(x \ 1,x,y) / (y / (x * y)) = K(y / (x * y),x). [hyper(189,a,1215,a(flip),b,1773,a(flip))]. 1780 K(x / (y * x),y) * (x / (y * x)) != z | R(y \ 1,y,x) = z. [para(1778(a,1),200(a,1,1)),flip(b)]. 1782 R(x * y,z,K(y * z,R(x,y,z))) \ ((y * z) * R(x,y,z)) = z * K(y * z,R(x,y,z)). [hyper(726,a,110,a(flip))]. 1783 (x * y) * ((z * ((x * y) \ (u * y))) / z) = (((z * (u / x)) / z) * x) * y. [hyper(699,a,759,a),flip(a)]. 1784 (((x * ((y / z) / u)) / x) * u) * z = (u * z) * ((x * ((u * z) \ y)) / x). [para(19(a,1),1783(a,1,2,1,2,2)),flip(a)]. 1785 (x * y) * ((z * ((x * y) \ (u * y))) / z) = (x * ((z * (x \ u)) / z)) * y. [para(680(a,1),1783(a,2,1))]. 1786 (x * y) * ((x * ((x * y) \ z)) / x) = (x * ((z / y) / x)) * y. [hyper(252,a,1784,a),flip(a)]. 1787 (x * y) * ((x * ((x * y) \ z)) / x) != u | (x * ((z / y) / x)) * y = u. [para(1784(a,1),252(a,1))]. 1788 (x * ((x / y) / x)) * y = T(x,x / (x * y)). [hyper(1044,a,1786,a),flip(a)]. 1789 x * (y * ((x * (y \ (x \ z))) / x)) = (x * ((z / y) / x)) * y. [hyper(189,a,936,a(flip),b,1786,a(flip)),flip(a)]. 1790 x \ T(y,y / (y * x)) = T(y * ((y / x) / y),x). [hyper(147,a,1788,a,b,17,a),flip(a)]. 1792 (x * (R(y / z,z,y \ u) / x)) * (z * (y \ u)) = x * ((z * (y \ u)) * ((x * ((z * (y \ u)) \ (x \ u))) / x)). [para(390(a,2),1789(a,2,1,2,1)),flip(a)]. 1793 T(x,x / (x * y)) != z | (x * ((x / y) / x)) * y = z. [para(1039(a,1),1787(a,1))]. 1795 x * (y * ((z * (y \ (x \ (u * y)))) / z)) = (x * ((z * (x \ u)) / z)) * y. [hyper(189,a,936,a(flip),b,1785,a(flip)),flip(a)]. 1796 (x * y) * ((z * ((x * y) \ y)) / z) = (x * ((z * (x \ 1)) / z)) * y. [para(14(a,1),1785(a,1,2,1,2,2))]. 1797 (x * ((y * (x \ 1)) / y)) * x = x * (x * ((y * (x \ 1)) / y)). [hyper(189,a,1398,a(flip),b,1796,a(flip))]. 1798 x * ((x * y) * ((z * ((x * y) \ y)) / z)) = (x * ((z * (x \ 1)) / z)) * (x * y). [hyper(189,a,1397,a(flip),b,1796,a(flip)),flip(a)]. 1799 T(x * ((y * (x \ 1)) / y),z) = K(y,(y / T(x,z)) / y). [hyper(147,a,1796,a(flip),b,1416,a(flip))]. 1801 (x * ((y / (z * (x \ y))) / x)) * (z * (x \ y)) = x * ((z * ((x * (z \ 1)) / x)) * (x \ y)). [para(1796(a,1),1789(a,1,2)),flip(a)]. 1802 T(x,y) * ((z * (T(x,y) \ 1)) / z) = T(x * ((z * (x \ 1)) / z),y). [hyper(189,a,1319,a(flip),b,1799,a),flip(a)]. 1803 (1 / x) * ((1 / x) * ((y * ((1 / x) \ 1)) / y)) = (((y * x) / y) / x) * (1 / x). [para(1427(a,1),1797(a,1,1)),flip(a)]. 1804 T(x,y) * ((x * (T(x,y) \ 1)) / x) = T(x * (1 / x),y). [para(17(a,1),1802(a,2,1,2,1))]. 1805 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(326(a,2),1802(a,2,1,2,1)),flip(a)]. 1806 T(x,y) * ((T(x,y) \ x) / x) = T(x * (1 / x),y). [para(987(a,1),1804(a,1,2,1))]. 1807 T(x,y) * ((T(x,y) \ x) / x) = T(K(x,x \ 1),y). [para(1535(a,2),1806(a,2,1))]. 1808 x * T(K(x,x \ 1),y) = T(x,T(x,y) \ 1). [para(1807(a,1),1625(a,1,2))]. 1809 (x * ((y * (x \ z)) / y)) * y = x * (y * ((x \ (z * y)) / y)). [para(17(a,1),1795(a,1,2,2,1)),flip(a)]. 1810 ((x * y) * ((z * ((x * y) \ x)) / z)) * z = (x * y) * (z * (L(y \ z,y,x) / z)). [para(104(a,2),1809(a,2,2,2,1))]. 1811 (x * ((y * (x \ 1)) / y)) * (x * z) = x * ((x * ((y * (x \ 1)) / y)) * z). [para(1796(a,1),1798(a,1,2)),flip(a)]. 1812 K(x,(x / y) / x) * (y * z) = y * ((y * ((x * (y \ 1)) / x)) * z). [para(1319(a,2),1811(a,1,1))]. 1813 (((x * y) / x) / y) * (1 / y) = (1 / y) * (((x * y) / x) / y). [para(1427(a,1),1803(a,1,2)),flip(a)]. 1814 ((1 / x) * (((y * x) / y) / x)) / (1 / x) = ((y * x) / y) / x. [hyper(88,a,1813,a)]. 1815 R(((x * y) / x) / y,y,x) = ((1 / y) * ((x * y) / (y * x))) / (1 / y). [para(1814(a,1),696(a,1,1))]. 1816 ((1 / x) * ((y * x) / (x * y))) / (1 / x) = (y * x) / (x * y). [hyper(189,a,187,a(flip),b,1815,a(flip))]. 1817 T((x * y) / (y * x),y * x) = ((1 / y) * ((y * x) \ (x * y))) / (1 / y). [para(1816(a,1),546(a,1,1))]. 1818 ((1 / x) * ((x * y) \ (y * x))) / (1 / x) = (x * y) \ (y * x). [hyper(307,a,1817,a),flip(a)]. 1819 K(x,y) = ((1 / y) * ((y * x) \ (x * y))) / (1 / y). [hyper(189,a,29,a,b,1818,a),flip(a)]. 1820 ((1 / x) * K(y,x)) / (1 / x) = K(y,x). [para(29(a,2),1819(a,2,1,2)),flip(a)]. 1821 K(x,y) * (1 / y) = (1 / y) * K(x,y). [para(1820(a,1),19(a,1,1))]. 1822 (K(x,y) * (1 / y)) / K(x,y) = 1 / y. [para(1820(a,1),72(a,1,1,1))]. 1823 K(x \ 1,x) * (1 / x) = x \ 1. [hyper(189,a,1198,a(flip),b,1821,a)]. 1824 T(1 / x,K(y,x)) = 1 / x. [hyper(148,a,1821,a)]. 1825 K(1 / x,K(y,x)) = 1. [hyper(39,a,1824,a)]. 1826 K(x,K(y,x \ 1)) = 1. [para(67(a,1),1825(a,1,1))]. 1827 T(x,K(y,x \ 1)) = x. [hyper(40,a,1826,a)]. 1828 x * (1 / y) != y \ 1 | K(y \ 1,y) = x. [para(1823(a,1),23(a,1)),flip(a)]. 1829 (x \ 1) / (1 / x) != y | K(x \ 1,x) = y. [para(1823(a,1),248(a,1,1)),flip(b)]. 1830 (x \ 1) * L(y,1 / x,K(x \ 1,x)) = K(x \ 1,x) * ((1 / x) * y). [para(1823(a,1),102(a,1,1))]. 1831 R(x,K(y \ 1,y),1 / y) * (y \ 1) = (x * K(y \ 1,y)) * (1 / y). [para(1823(a,1),110(a,1,2))]. 1832 (x \ 1) \ (K(x \ 1,x) * y) != z | L((1 / x) \ y,1 / x,K(x \ 1,x)) = z. [para(1823(a,1),437(a,1,1))]. 1833 R(1 / x,y,z) \ (K(u,x) * R(1 / x,y,z)) = K(u,x). [para(1822(a,1),671(a,1,1,1))]. 1834 K(1 / x,1 / (1 / x)) != y | K(x \ 1,x) = y. [para(496(a,2),1829(a,1))]. 1835 K(1 / x,(1 / x) \ 1) = K(x \ 1,x). [hyper(1834,a,1531,a),flip(a)]. 1836 K(1 / x,x) = K(x \ 1,x). [para(69(a,1),1835(a,1,2))]. 1837 L(x,1 / y,K(1 / y,(1 / y) \ 1)) = L(x,K(y \ 1,y),1 / y). [para(1835(a,1),1777(a,1,2)),flip(a)]. 1838 K((x \ 1) \ 1,x \ 1) = K(x,x \ 1). [para(67(a,1),1836(a,1,1)),flip(a)]. 1839 T(K(x,y),R(1 / y,z,u)) = K(x,y). [hyper(238,a,1833,a)]. 1840 T(K(x,y),z / (y * z)) = K(x,y). [para(141(a,1),1839(a,1,2))]. 1841 T(K(x,y),y \ 1) = K(x,y). [para(446(a,1),1839(a,1,2))]. 1842 T(x \ 1,K(y,x)) = x \ 1. [hyper(38,a,1841,a)]. 1843 T((x \ 1) * T((x \ 1) \ 1,y),K(z,x)) = (x \ 1) * T(T(x \ 1,K(z,x)) \ 1,y). [para(1842(a,1),1373(a,1,1)),flip(a)]. 1844 K(x,y) * (z / (y * z)) = (z / (y * z)) * K(x,y). [para(1840(a,1),113(a,1,2)),flip(a)]. 1845 (x / (y * x)) * K(x / (y * x),y) = R(y \ 1,y,x). [hyper(1780,a,1844,a),flip(a)]. 1847 L(x \ L(y,1 / x,K(x \ 1,x)),x,x \ 1) = (1 / x) * y. [hyper(833,a,1830,a(flip))]. 1848 L((1 / x) \ y,1 / x,K(x \ 1,x)) = K(x \ 1,x) * ((x \ 1) \ y). [hyper(1832,a,1631,a)]. 1849 T(x * R(x \ 1,T(x,y),x \ 1),y) = ((x \ 1) / (x \ T(x,y))) * T(x,y). [hyper(1718,a,774,a)]. 1850 ((x \ 1) / (x \ T(x,y))) * T(x,y) = T(x * T(x \ 1,T(x,y)),y). [para(1144(a,1),1849(a,1,1,2)),flip(a)]. 1851 (x \ 1) / (x \ T(x,y)) = T(x,y) \ 1. [hyper(1377,a,1850,a(flip)),flip(a)]. 1852 T(T(x,y) \ 1,x \ T(x,y)) = (x \ T(x,y)) \ (x \ 1). [para(1851(a,1),115(a,1,1))]. 1853 K(x \ T(x,y),(x \ 1) / (x \ T(x,z))) = 1. [para(1851(a,2),1388(a,1,2))]. 1854 (x \ T(x,y)) \ (x \ 1) = T(x,y) \ 1. [hyper(189,a,1385,a(flip),b,1852,a(flip))]. 1856 R((1 / (x * y)) * x,y,y \ 1) = T((1 / (x * y)) * x,y). [hyper(189,a,728,a(flip),b,821,a(flip))]. 1857 a(1 / (x * y),x,y) \ T((1 / (x * y)) * x,y) = y \ 1. [para(1856(a,1),704(a,1,2))]. 1858 (x * y) * (z * T(z \ L(y \ z,y,x),u)) = (x * (y * T(y \ 1,u))) * z. [para(569(a,1),1161(a,1,1)),flip(a)]. 1859 (x \ 1) * (L(x \ 1,x,y) \ (x * ((y * x) \ y))) = K(x \ 1,x * ((y * x) \ y)). [hyper(189,a,963,a(flip),b,1276,a(flip)),flip(a)]. 1860 (L(x,1 / x,y) * y) / L(x,1 / x,y) = y * ((1 / x) * T(x,y)). [hyper(189,a,350,a(flip),b,1471,a)]. 1861 (L(x,1 / x,y) * y) / L(x,1 / x,y) = y * (T(x,y) / x). [para(793(a,1),1860(a,2,2))]. 1862 (x \ ((L(y,1 / y,x) * x) / L(y,1 / y,x))) / (x \ 1) = x * (T(y,x) / y). [hyper(189,a,1108,a,b,1861,a(flip)),flip(a)]. 1863 x * (((L(y,1 / y,x) * x) / L(y,1 / y,x)) \ z) = (x * (T(y,x) / y)) \ (x * z). [para(1861(a,1),1107(a,1,1)),flip(a)]. 1864 (x \ (x * (T(y,x) / y))) / (x \ 1) = x * (T(y,x) / y). [para(1861(a,1),1862(a,1,1,2))]. 1865 (T(x,y) / x) / (y \ 1) = y * (T(x,y) / x). [para(16(a,1),1864(a,1,1))]. 1867 T(T(x,y) * T(T(x,y) \ x,x),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). [para(1464(a,1),1509(a,1,1))]. 1868 T(L(x,T(x,y) \ x,T(x,y)),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). [para(1015(a,1),1867(a,1,1))]. 1869 T(L(x,T(x,y) \ x,T(x,y)),x * (T(x,y) \ x)) = L(x,T(x,y) \ x,x). [para(1505(a,1),1868(a,1,2))]. 1870 L(T(x,x * (T(x,y) \ x)),T(x,y) \ x,T(x,y)) = L(x,T(x,y) \ x,x). [hyper(189,a,43,a,b,1869,a(flip)),flip(a)]. 1871 L(x,T(x,y) \ x,T(x,y)) = L(x,T(x,y) \ x,x). [para(1502(a,1),1870(a,1,1))]. 1872 T(x,y) * T(T(x,y) \ x,x) = L(x,T(x,y) \ x,x). [hyper(189,a,1015,a,b,1871,a(flip)),flip(a)]. 1873 x * L(y,T(y,x) \ y,y) = (y * x) * T(K(x,y),y). [para(1871(a,1),1409(a,1,2))]. 1874 L(x,T(x,y) \ x,x) = (T(x,y) \ x) * T(x,y). [hyper(189,a,1510,a(flip),b,1872,a(flip))]. 1875 K(x \ 1,x * ((y * x) \ y)) = (x \ 1) * T(x,(y * x) \ y). [para(611(a,1),1859(a,1,2)),flip(a)]. 1876 (x * T(x \ y,x)) * (1 / x) = T(y * (1 / x),x). [para(63(a,1),1184(a,1,1)),flip(a)]. 1877 ((x \ y) * x) * (1 / x) = T(y * (1 / x),x). [para(113(a,1),1876(a,1,1))]. 1879 T((x * y) * (1 / x),x) = (y * x) * (1 / x). [para(16(a,1),1877(a,1,1,1)),flip(a)]. 1880 T(x * (1 / (y \ 1)),y \ 1) = (((y \ 1) \ x) * (y \ 1)) * y. [para(67(a,1),1877(a,1,2)),flip(a)]. 1881 x \ ((x \ 1) \ y) = (y * x) * (1 / x). [hyper(189,a,756,a(flip),b,1879,a(flip)),flip(a)]. 1882 T((x * y) * (1 / x),x) != z * (1 / x) | y * x = z. [para(1879(a,2),23(a,1))]. 1883 x * ((y * x) * (1 / x)) = (x \ 1) \ y. [para(1881(a,1),17(a,1,2))]. 1884 (x * x) * (1 / x) = x. [hyper(20,a,489,a(flip),b,1883,a)]. 1885 (x \ 1) \ (y / x) = x * (y * (1 / x)). [para(19(a,1),1883(a,1,2,1)),flip(a)]. 1886 (x \ 1) \ ((y * x) \ y) = x * ((y * x) \ y). [para(1439(a,1),1883(a,1,2)),flip(a)]. 1887 L(x \ 1,x,x) = 1 / x. [hyper(308,a,1884,a)]. 1888 (x * x) \ x = 1 / x. [hyper(80,a,1884,a)]. 1890 (x * (x * (x \ 1))) \ ((x * x) * ((1 / x) * y)) = L(y,L(x \ 1,x,x),x * x). [para(1887(a,1),347(a,1,2,2,1))]. 1891 L((1 / x) \ y,L(x \ 1,x,x),x * x) = (x * (x * (x \ 1))) \ ((x * x) * y). [para(1887(a,1),368(a,1,1,1))]. 1892 ((x \ 1) \ y) * (x \ 1) = x * (y * (1 / x)). [hyper(942,a,1885,a)]. 1893 (x \ 1) \ (y / x) != x * z | y * (1 / x) = z. [para(1885(a,2),22(a,1))]. 1894 (x \ 1) * (x * ((y * x) \ y)) = ((y * x) \ y) * 1. [para(1886(a,1),198(a,1,2))]. 1895 ((x \ 1) \ 1) * (y * (x \ 1)) = x * (y * (1 / x)). [hyper(189,a,486,a,b,1892,a(flip)),flip(a)]. 1897 (((x \ 1) \ y) * (x \ 1)) * x = T(y * x,x \ 1). [para(67(a,1),1880(a,1,1,2)),flip(a)]. 1898 T((x \ y) * x,x \ 1) = (x \ T(y,x \ 1)) * x. [para(783(a,1),1897(a,1,1)),flip(a)]. 1899 (x \ T(y / (x \ 1),x \ 1)) * x = T(T(y,x) / (x \ 1),x \ 1). [para(806(a,1),1898(a,1,1)),flip(a)]. 1900 T(T(x,y) / (y \ 1),y \ 1) = (y \ ((y \ 1) \ x)) * y. [para(115(a,1),1899(a,1,1,2)),flip(a)]. 1901 (x \ ((x \ 1) \ y)) * x = (x \ 1) \ T(y,x). [hyper(307,a,1900,a),flip(a)]. 1902 (x \ 1) \ T((x \ 1) * y,x) = (x \ y) * x. [para(16(a,1),1901(a,1,1,2)),flip(a)]. 1903 (x \ 1) * ((x \ y) * x) = T((x \ 1) * y,x). [para(1902(a,1),17(a,1,2))]. 1904 T((x \ 1) * (x * y),x) = (x \ 1) * (y * x). [para(16(a,1),1903(a,1,2,1)),flip(a)]. 1905 ((x \ 1) * y) \ T((x \ 1) * y,x) = L(K(x \ y,x),y,x \ 1). [para(1903(a,1),335(a,1,2))]. 1906 ((x \ 1) * (x * y)) * x = x * ((x \ 1) * (y * x)). [para(1904(a,1),113(a,1,2)),flip(a)]. 1907 ((x \ 1) * (x * y)) * x = L(y * x,x \ 1,x). [hyper(189,a,166,a(flip),b,1906,a)]. 1908 L(x * y,y \ 1,y) / y = (y \ 1) * (y * x). [hyper(76,a,166,a(flip),b,1906,a)]. 1909 (x \ 1) * (x * (y / x)) = L(y,x \ 1,x) / x. [para(19(a,1),1908(a,1,1,1)),flip(a)]. 1910 L(R(x,1 / y,y),y \ 1,y) / y = (y \ 1) * (y * (x * (1 / y))). [para(589(a,1),1908(a,1,1,1))]. 1911 (x \ 1) * (x * (y * (1 / x))) = L(y,x \ 1,x) * (1 / x). [hyper(189,a,595,a(flip),b,1910,a(flip))]. 1912 (x \ 1) * (x * (y * (1 / x))) != z * (1 / x) | L(y,x \ 1,x) = z. [para(1911(a,2),23(a,1))]. 1913 L(x,L(y \ 1,y,y),y * y) = y \ ((y * y) * ((1 / y) * x)). [para(62(a,1),1890(a,1,1)),flip(a)]. 1914 L(x,L(y \ 1,y,y),y * y) = y \ (y * ((y / y) * x)). [para(118(a,1),1913(a,2,2))]. 1915 L(x,L(y \ 1,y,y),y * y) = y \ (y * (1 * x)). [para(64(a,1),1914(a,2,2,2,1))]. 1916 L(x,L(y \ 1,y,y),y * y) = x. [hyper(74,a,1915,a,b,16,a(flip)),flip(a)]. 1918 x \ ((y * x) * L((y * x) \ z,u,w)) = T(y,x) * L(T(y,x) \ (x \ z),u,w). [para(35(a,2),1330(a,1,2,1,1)),flip(a)]. 1919 x \ (y * (x * L(x \ (y \ z),u,w))) = T(y,x) * L(T(y,x) \ (x \ z),u,w). [para(811(a,1),1918(a,1,2))]. 1920 T(x,y) * L(T(x,y) \ (y \ z),u,w) = T(x * L(x \ (z / y),u,w),y). [hyper(1336,a,1919,a),flip(a)]. 1921 T(x * L(x \ ((y * z) / y),u,w),y) = T(x,y) * L(T(x,y) \ z,u,w). [para(16(a,1),1920(a,1,2,1,2)),flip(a)]. 1922 T(x,y) * L(T(x,y) \ T(z,y),u,w) = T(x * L(x \ z,u,w),y). [para(143(a,1),1921(a,1,1,2,1,2)),flip(a)]. 1923 T(x,y) * L(T(x,y) \ 1,z,u) = T(x * L(x \ 1,z,u),y). [para(191(a,1),1922(a,1,2,1,2))]. 1924 T(x * L(x \ 1,y,z),u) != T(x,u) * w | L(T(x,u) \ 1,y,z) = w. [para(1923(a,1),22(a,1))]. 1925 T(x * L(x \ 1,T(x,y),z),y) = T(x,y) * ((z * T(x,y)) \ z). [para(140(a,1),1923(a,1,2)),flip(a)]. 1926 T(x \ y,z) * L(T(x \ y,z) \ 1,x \ y,x) = T((x \ y) * (y \ (x * 1)),z). [para(359(a,1),1923(a,2,1,2))]. 1927 T(x * L(x \ 1,T(x,y),1 / x),y) = T(x,y) * ((T(x,y) / x) \ (1 / x)). [para(793(a,1),1925(a,2,2,1))]. 1928 T(x,y) * ((T(x,y) / x) \ (1 / x)) = T(K(T(x,y),1 / x),y). [para(1695(a,1),1927(a,1,1)),flip(a)]. 1929 (x * (y * (1 / (1 / x)))) \ ((y * x) * (1 / (1 / x))) = K(y * L(x,x \ 1,x),x). [para(472(a,1),1363(a,1,2,2))]. 1930 L(L(x,y,y \ 1),K(y \ 1,y),1 / y) = (1 / y) * (y * x). [para(16(a,1),1371(a,2,2))]. 1932 (x \ L(x,y,z)) * ((x \ 1) * u) = (x \ 1) * ((x \ L(x,y,z)) * u). [para(854(a,1),1419(a,1,2,1)),flip(a)]. 1933 (x \ 1) * ((x \ L(x,y,z)) \ 1) = (x \ L(x,y,z)) \ (x \ 1). [hyper(75,a,62,a(flip),b,1932,a),flip(a)]. 1934 (x \ L(x,y,z)) \ (x \ 1) != (x \ 1) * u | (x \ L(x,y,z)) \ 1 = u. [para(1933(a,1),22(a,1))]. 1935 (T((x / (1 / y)) / y,z) * y) * (1 / y) = T(x / K(y,y \ 1),z) * K(y,y \ 1). [para(1535(a,2),1550(a,2,1,1,2))]. 1936 (x \ R(x,y,z)) * ((x \ 1) * u) = (x \ 1) * ((x \ R(x,y,z)) * u). [para(865(a,1),1686(a,1,2,1)),flip(a)]. 1937 (x \ 1) * ((x \ R(x,y,z)) \ 1) = (x \ R(x,y,z)) \ (x \ 1). [hyper(75,a,62,a(flip),b,1936,a),flip(a)]. 1938 (x * (y * T(y \ 1,x))) * (x \ 1) = x \ (x * (y * T(y \ 1,x))). [para(1700(a,1),1701(a,1,2)),flip(a)]. 1939 (x * (y * T(y \ 1,x))) \ (y * T(y \ 1,x)) = x \ 1. [hyper(75,a,16,a(flip),b,1938,a)]. 1941 (x * K(y,x)) \ (L(y \ 1,y,x) * T(L(y \ 1,y,x) \ 1,x)) = x \ 1. [para(906(a,2),1939(a,1,1,2))]. 1942 (x * K(y,x)) \ K(y,x) = x \ 1. [para(906(a,2),1941(a,1,2))]. 1943 (x * K(y,x)) * (x \ 1) = K(y,x). [para(1942(a,1),17(a,1,2))]. 1944 K(x,y) / (y \ 1) = y * K(x,y). [para(1942(a,1),67(a,1,2))]. 1945 K(x,y) * (z * T(z \ L((y \ 1) \ z,y \ 1,y * K(x,y)),u)) = ((y * K(x,y)) * ((y \ 1) * T((y \ 1) \ 1,u))) * z. [para(1943(a,1),1858(a,1,1))]. 1946 K(x,y) * T(K(x,y) \ (K(x,y) / (y \ 1)),z) = (y * K(x,y)) * ((y \ 1) * T((y \ 1) \ 1,z)). [para(1944(a,1),722(a,1,1)),flip(a)]. 1947 T((x \ 1) * T((x \ 1) \ 1,y),K(z,x)) = (x \ 1) * T((x \ 1) \ 1,y). [para(1842(a,1),1843(a,2,2,1,1))]. 1948 T((x \ 1) * T((x \ 1) \ 1,y),K(z,x)) = x \ T(x,y). [hyper(189,a,770,a(flip),b,1947,a)]. 1950 T(x \ T(x,y),K(z,x)) = x \ T(x,y). [para(770(a,1),1948(a,1,1))]. 1951 T(K(x,y),y \ T(y,z)) = K(x,y). [hyper(38,a,1950,a)]. 1952 T((x * y) \ (y * x),K(z,y)) = L(y \ T(y,x),y,x). [para(1950(a,1),585(a,1,1)),flip(a)]. 1953 K(K(x,y),y \ T(y,z)) = 1. [hyper(39,a,1951,a)]. 1954 K(K(x,y),y \ ((T(z,y) \ z) * y)) = 1. [para(1299(a,1),1953(a,1,2,2))]. 1955 K(K(x,y),T(T(z,y) \ z,y)) = 1. [para(35(a,2),1954(a,1,2))]. 1956 T((x * y) \ (y * x),K(z,y)) = K(y,x). [hyper(189,a,584,a,b,1952,a)]. 1957 T(K(x,y),K(z,x)) = K(x,y). [para(29(a,2),1956(a,1,1))]. 1958 T(K(x,y),K(y,z)) = K(x,y). [hyper(38,a,1957,a)]. 1959 K(x,y) * K(z,x) = K(z,x) * K(x,y). [para(1957(a,1),113(a,1,2)),flip(a)]. 1960 K(x,y) * K(y,z) != u | K(y,z) * K(x,y) = u. [para(1957(a,1),205(a,1,2))]. 1961 K(x,y) * L(K(y,z),u,w) != v5 | L(K(y,z),u,w) * K(x,y) = v5. [para(1957(a,1),303(a,1,2,1))]. 1962 K(x,y) * K(z,x) != u | K(z,x) * K(x,y) = u. [para(1958(a,1),205(a,1,2))]. 1963 L(K(x,y),z,u) * K(y,w) = K(y,w) * L(K(x,y),z,u). [para(1958(a,1),159(a,1,2,1)),flip(a)]. 1965 (x * (T(y,x) / y)) \ (x * z) = x * ((x * (T(y,x) / y)) \ z). [para(1861(a,1),1863(a,1,2,1)),flip(a)]. 1966 (T((x / (1 / y)) / y,z) * y) * (1 / y) != u | K(y,y \ 1) * T(K(y,y \ 1) \ x,z) = u. [para(1935(a,2),544(a,1))]. 1967 x \ ((x / T(y \ 1,y * y)) * ((((y \ 1) \ y) \ y) * z)) = L(z,((y \ 1) \ y) \ y,x / T(y \ 1,(y \ 1) \ y)). [para(489(a,1),536(a,1,2,1,2,2))]. 1968 (x * K(x,y)) * T((x * K(x,y)) \ (x * y),z) = (T(y,z) * x) * K(x,y). [hyper(189,a,380,a(flip),b,567,a)]. 1969 x * (K(x,y) * T(K(x,y) \ y,z)) = (T(y,z) * x) * K(x,y). [hyper(838,a,1968,a)]. 1970 (T(x,K(y,x)) * y) * K(y,x) = y * ((K(y,x) \ x) * K(y,x)). [para(113(a,1),1969(a,1,2)),flip(a)]. 1971 (x * y) * K(z \ (z / L(u,y,x)),z) = x * ((y * u) * T((y * u) \ y,z)). [hyper(838,a,1080,a),flip(a)]. 1972 (x * y) * K(z \ (z / L(u,y,x)),z) = x * (y * (u * T(u \ 1,z))). [para(569(a,1),1971(a,2,2))]. 1973 L(x * T(x \ 1,y),z,u) = K(y \ (y / L(x,z,u)),y). [hyper(346,a,1972,a)]. 1974 L(x * T(x \ 1,L(x,y,z)),y,z) = K(L(x,y,z) \ 1,L(x,y,z)). [para(64(a,1),1973(a,2,1,2))]. 1975 L(x \ T(x,y),z,u) = K(y \ (y / L(x \ 1,z,u)),y). [para(770(a,1),1973(a,1,1))]. 1976 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(18(a,1),1975(a,2,1,2))]. 1977 (L(x,y,z) * (1 / x)) / L(x,y,z) = L(1 / x,L(x,y,z),1 / x). [hyper(189,a,1347,a(flip),b,1263,a(flip)),flip(a)]. 1979 x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = L(1 / x,L(x,y,z),1 / x) * x. [para(1977(a,1),680(a,1,1)),flip(a)]. 1980 x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = x * L(x \ 1,L(x,y,z),1 / x). [hyper(189,a,502,a(flip),b,1979,a)]. 1981 x * L(x \ 1,L(x,y,z),1 / x) = K(L(x,y,z),1 / x). [hyper(189,a,1325,a(flip),b,1980,a(flip))]. 1982 K(x \ 1,x * ((y * x) \ y)) = 1. [hyper(1277,a,1894,a(flip))]. 1983 T(x,(y * x) \ y) = (x \ 1) \ 1. [hyper(75,a,1982,a(flip),b,1875,a(flip)),flip(a)]. 1984 T(x,(y * x) \ y) = T(x,x \ 1). [hyper(189,a,114,a,b,1983,a)]. 1985 K(x,(y * x) \ y) = ((x \ 1) \ 1) / x. [hyper(76,a,1983,a(flip),b,1719,a),flip(a)]. 1986 T(x \ y,y \ x) = ((x \ y) \ 1) \ 1. [para(17(a,1),1983(a,1,2,1))]. 1987 T(x,L(x \ 1,x,y)) = (x \ 1) \ 1. [para(140(a,2),1983(a,1,2))]. 1988 T(K(x,y),(x * y) \ (y * x)) = T(K(x,y),K(x,y) \ 1). [para(95(a,1),1984(a,1,2,1))]. 1989 T(x,L(x \ 1,x,y)) = T(x,x \ 1). [para(140(a,2),1984(a,1,2))]. 1990 K(x,(y * x) \ y) = K(x,x \ 1). [hyper(189,a,1533,a(flip),b,1985,a)]. 1992 K(x \ y,(x \ y) \ 1) = K(x \ y,y \ x). [para(17(a,1),1990(a,1,2,1)),flip(a)]. 1993 K(T(x,y),T(x,y) \ 1) = K(T(x,y),(x * y) \ y). [para(113(a,1),1990(a,1,2,1)),flip(a)]. 1994 K(x \ y,T(y,x) \ ((y * x) / y)) = K(x \ y,(x \ y) \ 1). [para(1027(a,2),1990(a,1,2,1))]. 1995 1 / T(x \ y,y \ x) = (x \ y) \ 1. [para(1986(a,2),67(a,1,2))]. 1996 T(x \ (x / y),y) = ((x \ (x / y)) \ 1) \ 1. [para(69(a,1),1986(a,1,2))]. 1997 (x \ y) * (((y \ x) \ 1) \ 1) != z | (y \ x) * (x \ y) = z. [para(1986(a,1),205(a,1,2))]. 1998 x * K((x \ y) \ 1,x \ y) = y * (((y \ x) \ 1) \ 1). [para(1986(a,1),1073(a,1,2)),flip(a)]. 1999 1 / T((x * y) \ x,y) = ((x * y) \ x) \ 1. [para(16(a,1),1995(a,1,2,2))]. 2000 (x \ y) * (1 / (x \ y)) = K(x \ y,y \ x). [hyper(1539,a,1992,a)]. 2001 T(K(x,y),K(x,y) \ 1) = T(K(x,y),K(y,x)). [para(29(a,2),1988(a,1,2)),flip(a)]. 2002 T(K(x,y),K(y,x)) != z | (K(x,y) \ 1) \ 1 = z. [para(2001(a,1),315(a,1))]. 2003 (K(x,y) \ 1) \ 1 = K(x,y). [hyper(2002,a,1958,a)]. 2004 1 / K(x,y) = K(x,y) \ 1. [para(2003(a,1),67(a,1,2))]. 2005 1 / (1 / K(x,y)) = K(x,y). [para(2003(a,1),130(a,1,2,2))]. 2006 K(x,y) \ 1 != z | 1 / K(x,y) = z. [para(2005(a,1),236(a,1,1)),flip(b)]. 2007 K(x \ y,T(x / y,T(y,x))) = K(x \ y,(x \ y) \ 1). [para(1465(a,1),1994(a,1,2))]. 2008 K(x \ y,T(x / y,T(y,x))) = K(x \ y,y \ x). [hyper(189,a,1992,a(flip),b,2007,a)]. 2009 K(x \ (x / R(y,z,u)),x) = (((y * z) * T((y * z) \ z,x)) * u) / (z * u). [para(1100(a,1),1585(a,2,1))]. 2010 K(x \ (x / R(y,z,u)),x) = (((y * T(y \ 1,x)) * z) * u) / (z * u). [para(1119(a,1),2009(a,2,1,1))]. 2011 R(x * T(x \ 1,y),z,u) = K(y \ (y / R(x,z,u)),y). [hyper(189,a,33,a,b,2010,a),flip(a)]. 2012 K(x \ (x / R(y,z,u)),x) != w | R(y * T(y \ 1,x),z,u) = w. [para(2010(a,2),385(a,1))]. 2013 R(x,y,z) * T(R(x,y,z) \ 1,u) = R(x * T(x \ 1,u),y,z). [hyper(189,a,886,a(flip),b,2011,a),flip(a)]. 2014 R(x * T(x \ 1,R(x,y,z)),y,z) = K(R(x,y,z) \ 1,R(x,y,z)). [para(64(a,1),2011(a,2,1,2))]. 2015 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(870(a,1),2011(a,2,1,2))]. 2016 K(R(x,y,z) \ 1,R(x,y,z)) * (y * z) = ((x * T(x \ 1,R(x,y,z))) * y) * z. [para(2014(a,1),110(a,1,1))]. 2017 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(1230(a,1),882(a,1,1))]. 2018 K(T(x,R(x \ 1,y,z)),R(x \ 1,y,z)) = x \ T(x,R(x \ 1,y,z)). [para(35(a,2),898(a,1,1))]. 2019 K(x \ 1,x) * R(K(x \ 1,x) \ y,z,u) = (x \ 1) * (x * R(x \ ((x \ 1) \ y),z,u)). [para(165(a,2),1245(a,1,2,1,1))]. 2020 K(x \ y,x) * R((y \ ((x \ y) * x)) \ x,z,u) = y \ ((R(x,z,u) * (x \ y)) * x). [para(96(a,1),1726(a,1,1))]. 2021 K(x \ y,x) * R(K(x \ y,x) \ x,z,u) = y \ ((R(x,z,u) * (x \ y)) * x). [para(96(a,1),2020(a,1,2,1,1))]. 2022 K(x \ 1,x) * R(K(x \ 1,x) \ (y * x),z,u) = ((x \ 1) * R((x \ 1) \ y,z,u)) * x. [hyper(189,a,1636,a(flip),b,2019,a)]. 2023 K(x \ 1,x) * R(K(x \ 1,x) \ (y * x),z,u) = (x \ R(x * y,z,u)) * x. [para(823(a,1),2022(a,2,1))]. 2024 (x * K(x,y)) * R((x * K(x,y)) \ (x * y),z,u) = (R(y,z,u) * x) * K(x,y). [hyper(189,a,382,a(flip),b,666,a)]. 2025 x * (K(x,y) * R(K(x,y) \ y,z,u)) = (R(y,z,u) * x) * K(x,y). [hyper(948,a,2024,a)]. 2026 x * (K(x,y) * R(K(x,y) \ y,y \ 1,y)) = (T(y,y \ 1) * x) * K(x,y). [para(1135(a,1),2025(a,2,1,1))]. 2027 T(1 / (1 / R(1 / x,x,y)),x * y) = T(1 / (1 / (y / (x * y))),x * y). [hyper(189,a,803,a(flip),b,958,a(flip))]. 2028 K(x,x \ 1) * T(K(x,x \ 1) \ y,z) = x * ((1 / x) * T((1 / x) \ (x \ y),z)). [hyper(1966,a,1163,a)]. 2029 K(x,x \ 1) * T(K(x,x \ 1) \ y,z) = x * (T((x \ y) * x,z) / x). [para(778(a,1),2028(a,2,2))]. 2030 K(x,x \ 1) * T(K(x,x \ 1) \ y,x) = T(y,x). [hyper(189,a,1174,a(flip),b,2029,a)]. 2031 T(x * K(y,y \ 1),y) = T(x,y) * K(y,y \ 1). [hyper(571,a,2030,a),flip(a)]. 2032 T((1 / K(x,x \ 1)) * y,x) = (1 / K(x,x \ 1)) * T(y,x). [hyper(807,a,2031,a),flip(a)]. 2033 T((x / y) * K(y,y \ 1),y) = (y \ x) * K(y,y \ 1). [para(115(a,1),2031(a,2,1))]. 2034 x \ (y * K(x,x \ 1)) = (x \ y) * K(x,x \ 1). [hyper(189,a,1567,a(flip),b,2033,a(flip)),flip(a)]. 2035 x * ((x \ y) * K(x,x \ 1)) = y * K(x,x \ 1). [para(2034(a,1),17(a,1,2))]. 2036 (x * y) * K(x,x \ 1) = x * (y * K(x,x \ 1)). [para(16(a,1),2035(a,1,2,1)),flip(a)]. 2037 R(x,y,K(x,x \ 1)) = x. [hyper(376,a,2036,a)]. 2038 L(K(x,x \ 1),y,x) = K(x,x \ 1). [hyper(346,a,2036,a)]. 2039 R(T(x,y),z,K(x,x \ 1)) = T(x,y). [para(2037(a,1),45(a,2,1))]. 2040 (x * y) / K(x,x \ 1) = x * (y / K(x,x \ 1)). [para(2038(a,1),398(a,1,2))]. 2041 T(x,y * K(x,x \ 1)) = T(x,y). [hyper(189,a,1566,a(flip),b,2039,a(flip))]. 2043 T(x \ 1,y * K(x \ 1,x)) = T(x \ 1,y). [para(1538(a,1),2041(a,1,2,2))]. 2044 T(x,R(x \ 1,x,y)) = T(x,y / (x * y)). [para(1746(a,2),2041(a,1,2)),flip(a)]. 2045 (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(2044(a,1),152(a,1,2,1))]. 2046 K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)) = x \ T(x,y / (x * y)). [para(2044(a,1),2018(a,2,2))]. 2047 T(x \ 1,T(x,x \ 1)) = T(x \ 1,x). [para(1143(a,1),2043(a,1,2)),flip(a)]. 2048 T(x \ T(x,y),T(x,x \ 1)) = K(y \ (y / T(x \ 1,x)),y). [para(2047(a,1),1378(a,2,1,2,2))]. 2049 (1 / K(x,x \ 1)) * T(y,x) = T(K(x \ 1,x) * y,x). [para(339(a,1),2032(a,1,1,1)),flip(a)]. 2050 T(K(x \ 1,x) * y,x) = K(x \ 1,x) * T(y,x). [para(339(a,1),2049(a,1,1)),flip(a)]. 2051 x * T(K(x \ 1,x) * y,x) = K(x \ 1,x) * (y * x). [para(2050(a,2),1192(a,1,2))]. 2052 (K(x \ 1,x) * y) * x = K(x \ 1,x) * (y * x). [hyper(205,a,2051,a)]. 2053 L(x,y,K(x \ 1,x)) = x. [hyper(346,a,2052,a)]. 2054 L(T(x,y),z,K(x \ 1,x)) = T(x,y). [para(2053(a,1),43(a,2,1))]. 2055 T(x,K(x \ 1,x) * y) = T(x,y). [hyper(1699,a,2054,a)]. 2056 T(x,L(x \ y,x,x \ 1)) = T(x,(x \ 1) * y). [para(813(a,1),2055(a,1,2)),flip(a)]. 2057 T(x \ T(x,y),T(x,x \ 1)) = T(x \ T(x,y),x). [hyper(189,a,1378,a,b,2048,a)]. 2058 T((x * y) \ (y * x),T(y,y \ 1)) = L(T(y \ T(y,x),y),y,x). [para(2057(a,1),585(a,1,1)),flip(a)]. 2059 T((x * y) \ (y * x),T(y,y \ 1)) = T((x * y) \ (y * x),y). [hyper(189,a,585,a(flip),b,2058,a)]. 2060 T((x * y) \ (y * x),T(y,y \ 1)) = T(K(y,x),y). [para(29(a,2),2059(a,2,1))]. 2061 T(K(x,y),T(x,x \ 1)) = T(K(x,y),x). [para(29(a,2),2060(a,1,1))]. 2062 K(x \ T(x,y),(x \ 1) / (x \ T(x,y))) = (x \ T(x,y)) * ((x \ 1) \ (T(x,y) \ 1)). [para(1851(a,1),1708(a,1,2,2)),flip(a)]. 2063 (x \ T(x,y)) * ((x \ 1) \ (T(x,y) \ 1)) = 1. [hyper(189,a,1853,a(flip),b,2062,a(flip))]. 2064 (x \ 1) \ (T(x,y) \ 1) = (x \ T(x,y)) \ 1. [hyper(75,a,1853,a(flip),b,2062,a(flip)),flip(a)]. 2066 (x \ T(x,y)) \ 1 != z | (x \ 1) \ (T(x,y) \ 1) = z. [para(2063(a,1),237(a,1,2)),flip(b)]. 2067 K(x,y) * T(K(x,y) \ (K(x,y) / (y \ 1)),z) = (y * K(x,y)) * (y \ T(y,z)). [para(770(a,1),1946(a,2,2))]. 2068 K(x,y) * T(K(x,y) \ (y * K(x,y)),z) = (y * K(x,y)) * (y \ T(y,z)). [para(1944(a,1),2067(a,1,2,1,2))]. 2069 K(x,y) * T(T(y,K(x,y)),z) = (y * K(x,y)) * (y \ T(y,z)). [para(35(a,2),2068(a,1,2,1))]. 2070 K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)) = L(x \ x,y,z). [para(1339(a,1),1976(a,1,1,2)),flip(a)]. 2071 K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)) = L(1,y,z). [para(59(a,1),2070(a,2,1))]. 2072 K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)) = 1. [hyper(189,a,265,a(flip),b,2071,a)]. 2075 ((x * L(x \ 1,y,z)) \ x) * (x * L(x \ 1,y,z)) = x * 1. [para(2072(a,1),213(a,1,2)),flip(a)]. 2076 ((x * L(x \ 1,y,z)) \ x) * (x * L(x \ 1,y,z)) = x. [hyper(189,a,15,a(flip),b,2075,a)]. 2077 x * (y * L(y \ 1,z,u)) != y | (y * L(y \ 1,z,u)) \ y = x. [para(2076(a,1),23(a,1)),flip(a)]. 2078 (((x * y) \ x) \ K(y,x)) / (L(y \ 1,y,x) \ 1) = K(y,x). [hyper(189,a,906,a,b,907,a)]. 2079 (((x * y) \ x) \ K(y,x)) / (((x * y) \ x) \ 1) = K(y,x). [para(140(a,1),2078(a,1,2,1))]. 2080 T(K(x,y),((y * x) \ y) \ 1) != z | (((y * x) \ y) \ 1) \ (((y * x) \ y) \ K(x,y)) = z. [para(2079(a,1),307(a,1,1))]. 2081 R(L(x / (y \ 1),z,u),y \ 1,(y \ 1) \ 1) = (y \ L(y * x,z,u)) * T(y,y \ 1). [para(817(a,1),919(a,1,1)),flip(a)]. 2082 (x \ L(x * y,z,u)) * T(x,x \ 1) = L(y * ((x \ 1) \ 1),z,u). [hyper(189,a,463,a(flip),b,2081,a(flip))]. 2083 (T(x,y) * (L(x,z,u) * y)) \ ((L(x,z,u) * y) * T(T(x,y),y)) = a(T(x,y),y,L(T(x,y),z,u)). [para(159(a,1),1703(a,1,2,1))]. 2084 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(1018(a,1),1805(a,2,2,1))]. 2085 T(x,y) * ((T(x,y) \ T(x,z)) / T(x,z)) = T(K(T(x,z),1 / x),y). [para(1326(a,1),2084(a,1,1)),flip(a)]. 2086 K(T(x,y),1 / T(x,z)) = T(K(T(x,y),1 / x),z). [hyper(189,a,1417,a(flip),b,2085,a(flip)),flip(a)]. 2087 T(K(T(x,y),1 / x),y) != z | K(T(x,y),T(x,y) \ 1) = z. [para(2086(a,1),1559(a,1))]. 2088 T(x,y) * ((T(x,y) / x) \ (1 / x)) = K(T(x,y),T(x,y) \ 1). [hyper(2087,a,1928,a(flip)),flip(a)]. 2089 (T(x,y) / x) \ (1 / x) = 1 / T(x,y). [hyper(20,a,1535,a(flip),b,2088,a)]. 2090 (T(T(x,x \ 1),y) / T(x,x \ 1)) \ (x \ 1) = 1 / T(T(x,x \ 1),y). [para(174(a,1),2089(a,1,2))]. 2091 (x \ T(x,y)) \ (x \ 1) = 1 / T(T(x,x \ 1),y). [para(1528(a,1),2090(a,1,1))]. 2092 1 / T(T(x,x \ 1),y) = T(x,y) \ 1. [hyper(189,a,1854,a(flip),b,2091,a(flip))]. 2093 T(T(x,x \ 1),y) = (T(x,y) \ 1) \ 1. [para(2092(a,1),69(a,1,1)),flip(a)]. 2094 T(1 / (1 / x),y) \ 1 = 1 / T(x,y). [para(228(a,1),2092(a,1,2,1)),flip(a)]. 2095 (T(x,y) \ 1) \ 1 = T((x \ 1) \ 1,y). [hyper(189,a,525,a(flip),b,2093,a(flip))]. 2096 (T(1 / x,y) \ 1) \ 1 = T(x \ 1,y). [para(497(a,1),2093(a,1,1)),flip(a)]. 2097 1 / (1 / T(x,y)) = T(1 / (1 / x),y). [para(2094(a,1),67(a,1,2))]. 2098 T(((x / y) \ 1) \ 1,y) = ((y \ x) \ 1) \ 1. [para(115(a,1),2095(a,1,1,1)),flip(a)]. 2099 T(x,y) * K(T(x,y) \ 1,T(x,y)) = T(1 / (1 / x),y). [hyper(189,a,474,a,b,2097,a(flip)),flip(a)]. 2100 T(1 / (1 / (x / y)),y) = 1 / (1 / (y \ x)). [para(115(a,1),2097(a,1,2,2)),flip(a)]. 2101 ((x * T(1 / (1 / y),x)) / x) \ (y / T(y,x)) = 1 / T(y,x). [para(2097(a,1),1292(a,1,1,1,2))]. 2102 T(x,((y * x) / y) \ 1) = ((y \ (y * x)) \ 1) \ 1. [hyper(608,a,2098,a)]. 2103 (((x / y) \ 1) \ 1) * y = y * (((y \ x) \ 1) \ 1). [para(2098(a,1),113(a,1,2)),flip(a)]. 2104 (x * (((x \ y) \ 1) \ 1)) / x = ((y / x) \ 1) \ 1. [para(2098(a,1),143(a,1,1,2))]. 2105 (1 / (1 / (x / y))) * y = y * (1 / (1 / (y \ x))). [para(2100(a,1),113(a,1,2)),flip(a)]. 2106 (x * (1 / (1 / (x \ y)))) / x = 1 / (1 / (y / x)). [para(2100(a,1),143(a,1,1,2))]. 2107 T(x,((y * x) / y) \ 1) = (x \ 1) \ 1. [para(16(a,1),2102(a,2,1,1))]. 2108 T(x,y / (y * x)) = (x \ 1) \ 1. [hyper(189,a,1775,a(flip),b,2107,a(flip)),flip(a)]. 2110 T(x,y / (y * x)) = T(x,x \ 1). [hyper(189,a,114,a,b,2108,a)]. 2111 T(x \ y,x / y) = ((x \ y) \ 1) \ 1. [para(17(a,1),2108(a,1,2,2))]. 2112 (x / (x * y)) * T(y,y \ 1) = y * (x / (x * y)). [para(2110(a,1),113(a,1,2))]. 2113 T(x \ (y \ x),y) = ((x \ (y \ x)) \ 1) \ 1. [para(67(a,1),2111(a,1,2))]. 2114 1 / T(x \ (y \ x),y) = (x \ (y \ x)) \ 1. [para(2113(a,2),67(a,1,2))]. 2115 ((R(x / y,y,z) \ 1) \ 1) * (y * z) = (y * z) * ((((y * z) \ (x * z)) \ 1) \ 1). [para(111(a,2),2103(a,1,1,1,1))]. 2116 (x * ((y \ 1) \ 1)) / x = (((x * y) / x) \ 1) \ 1. [para(16(a,1),2104(a,1,1,2,1,1))]. 2118 T(1 / (1 / (x / y)),y) != z | 1 / (1 / (y \ x)) = z. [para(2106(a,1),242(a,1,1)),flip(b)]. 2119 (1 / (1 / x)) \ (x / T(x,y)) = 1 / T(x,y). [para(143(a,1),2101(a,1,1))]. 2121 L(1 / x,K(x \ 1,x),y) * (y * K(x \ 1,x)) = y * ((x \ 1) * (x * T(x \ 1,y))). [para(2043(a,1),1451(a,1,2,2,2)),flip(a)]. 2122 x * T(((x * T(y,z)) / T(y,z)) \ (x * y),u) = ((x * T(y,z)) * T(y,u)) / T(y,z). [para(18(a,1),1581(a,1,1))]. 2123 ((x * T(y,z)) * T(y,u)) / T(y,z) = x * T(x \ (x * y),u). [para(18(a,1),2122(a,1,2,1,1)),flip(a)]. 2124 ((x * T(y,z)) * T(y,u)) / T(y,z) = x * T(y,u). [para(16(a,1),2123(a,2,2,1))]. 2125 (x * T(y,z)) / T(y,u) = (x / T(y,u)) * T(y,z). [para(19(a,1),2124(a,1,1,1))]. 2126 (x * R(x \ 1,x,y)) \ (x * (y / (x * y))) = K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)). [para(1677(a,1),2045(a,1,2))]. 2127 K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)) = K(x,y / (x * y)). [hyper(607,a,2126,a),flip(a)]. 2128 x \ T(x,y / (x * y)) = K(x,y / (x * y)). [hyper(189,a,2046,a(flip),b,2127,a(flip)),flip(a)]. 2129 K(x,y / (x * y)) = K(x,x \ 1). [hyper(1771,a,2128,a),flip(a)]. 2130 K(x,y / (x * y)) != z | K(x,x \ 1) = z. [para(2128(a,1),1771(a,1))]. 2131 K(x / y,(x / y) \ 1) = K(x / y,y / x). [para(19(a,1),2129(a,1,2,2)),flip(a)]. 2132 K(x / y,y / x) != z | K(x / y,(x / y) \ 1) = z. [para(19(a,1),2130(a,1,2,2))]. 2133 (K(x / y,y / x) * y) / x = ((x / y) * (y / x)) / (x / y). [para(2131(a,1),1706(a,1,1,1))]. 2134 K(x / (y * x),y) != z | K(x / (y * x),(x / (y * x)) \ 1) = z. [para(18(a,1),2132(a,1,2))]. 2135 (K(x / y,y / x) * y) / x = 1 / (1 / (y / x)). [hyper(189,a,1767,a(flip),b,2133,a)]. 2136 (K((x * y) / y,y / (x * y)) * y) / (x * y) = 1 / (1 / R(1 / x,x,y)). [para(141(a,2),2135(a,2,2,2))]. 2137 (x * (R(y / z,z,y \ u) / x)) * (z * (y \ u)) = (x * ((u / (z * (y \ u))) / x)) * (z * (y \ u)). [hyper(189,a,1789,a(flip),b,1792,a)]. 2138 ((x \ T(x,y)) * x) * L(z,(x \ 1) * x,T(T(x,x \ 1),y)) = R(T(x,y),x \ 1,x) * (((x \ 1) * x) * z). [para(773(a,1),1358(a,1,1,1))]. 2139 ((x \ T(x,y)) * x) * L(z,K(x \ 1,x),T(T(x,x \ 1),y)) = R(T(x,y),x \ 1,x) * (((x \ 1) * x) * z). [para(165(a,2),2138(a,1,2,2))]. 2140 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(632(a,1),2015(a,1,1,2,1))]. 2141 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(1660(a,1),2140(a,1,1,2)),flip(a)]. 2143 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((x * ((z * u) / ((y * z) * u))) / x) * ((y * z) * u). [para(110(a,1),1281(a,1,1,1,2,2)),flip(a)]. 2144 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((y * z) * u) * ((x * (((y * z) * u) \ (z * u))) / x). [hyper(189,a,680,a(flip),b,2143,a)]. 2145 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((y * z) * ((x * ((y * z) \ z)) / x)) * u. [hyper(189,a,1785,a(flip),b,2144,a)]. 2146 (R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u)) * (y * z) = ((x * y) * ((u * ((x * y) \ y)) / u)) * z. [para(680(a,1),2145(a,1,1))]. 2147 (R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u)) * (y * z) = ((x * ((u * (x \ 1)) / u)) * y) * z. [para(1796(a,1),2146(a,2,1))]. 2148 R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u) = R(x * ((u * (x \ 1)) / u),y,z). [hyper(21,a,110,a,b,2147,a)]. 2149 R(x * ((y * (x \ 1)) / y),z,u) = K(y,(y / R(x,z,u)) / y). [hyper(1320,a,2148,a),flip(a)]. 2150 R(x * ((R(x,y,z) * (x \ 1)) / R(x,y,z)),y,z) = R(x,y,z) * (1 / R(x,y,z)). [para(17(a,1),2148(a,1,2,1)),flip(a)]. 2151 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(189,a,1535,a,b,2150,a)]. 2152 R(x * ((x \ R(x,y,z)) / R(x,y,z)),y,z) = K(R(x,y,z),R(x,y,z) \ 1). [para(867(a,1),2151(a,1,1,2,1))]. 2153 (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(31(a,2),1314(a,2,2,1,1))]. 2154 (x * y) \ (x * ((y * z) * L((y * z) \ (x \ (x * y)),u,w))) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). [para(811(a,1),2153(a,1,2))]. 2155 (x * y) \ (x * ((y * z) * L((y * z) \ y,u,w))) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). [para(16(a,1),2154(a,1,2,2,2,1,2))]. 2156 (x * y) \ (x * (y * (z * L(z \ 1,u,w)))) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). [para(709(a,1),2155(a,1,2,2))]. 2157 L(x,y,z) * L(L(x,y,z) \ 1,u,w) = L(x * L(x \ 1,u,w),y,z). [hyper(355,a,2156,a),flip(a)]. 2158 L(x,y,z) * L(L(x,y,z) \ 1,(x \ 1) \ 1,x \ 1) = L(x * (1 / (1 / (x \ 1))),y,z). [para(472(a,1),2157(a,2,1,2))]. 2159 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(1262(a,1),2157(a,1,2))]. 2160 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(15(a,1),2159(a,1,2,2)),flip(a)]. 2161 L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)) = L(K(L(x,y,z),1 / x),y,z). [para(1981(a,1),2160(a,1,1)),flip(a)]. 2162 (x * y) \ ((x * (y * z)) * R((x * (y * z)) \ (x * y),u,w)) = L(z,y,x) * R(L(z,y,x) \ 1,u,w). [para(31(a,2),1316(a,2,2,1,1))]. 2163 (x * y) \ (x * ((y * z) * R((y * z) \ y,u,w))) = L(z,y,x) * R(L(z,y,x) \ 1,u,w). [para(809(a,1),2162(a,1,2))]. 2164 (x * y) \ (x * (y * (z * R(z \ 1,u,w)))) = L(z,y,x) * R(L(z,y,x) \ 1,u,w). [para(705(a,1),2163(a,1,2,2))]. 2165 L(x,y,z) * R(L(x,y,z) \ 1,u,w) != v5 | L(x * R(x \ 1,u,w),y,z) = v5. [para(2164(a,1),355(a,1))]. 2166 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(2165,a,968,a)]. 2167 ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z) = L(x * T(x \ 1,L(x,y,z)),y,z). [para(1348(a,1),2166(a,1,1,2)),flip(a)]. 2168 ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z) = K(L(x,y,z) \ 1,L(x,y,z)). [hyper(189,a,1974,a(flip),b,2167,a)]. 2169 (x \ 1) / (x \ L(x,y,z)) = L(x,y,z) \ 1. [hyper(21,a,165,a(flip),b,2168,a)]. 2170 (L(x,y,z) \ 1) \ (x \ 1) = x \ L(x,y,z). [para(2169(a,1),69(a,1,1))]. 2171 x / ((1 / x) \ L(1 / x,y,z)) = L(1 / x,y,z) \ 1. [para(69(a,1),2169(a,1,1))]. 2173 R(x,y,z) \ L(R(x,y,z),x \ 1,x) = (R(1 / (1 / x),y,z) \ 1) \ (R(x,y,z) \ 1). [para(475(a,1),2170(a,1,1,1)),flip(a)]. 2174 x / (x * L(x \ 1,y,z)) = L(1 / x,y,z) \ 1. [para(819(a,1),2171(a,1,2))]. 2175 (L(1 / x,y,z) \ 1) * (x * L(x \ 1,y,z)) = x. [para(2174(a,1),19(a,1,1))]. 2176 (x * L(x \ 1,y,z)) \ x = L(1 / x,y,z) \ 1. [hyper(2077,a,2175,a)]. 2177 L(1 / (1 / x),y,z) \ 1 = (L(x,y,z) / x) \ (1 / x). [para(1286(a,1),2176(a,1,1)),flip(a)]. 2178 (R(1 / (1 / x),y,z) \ 1) \ (R(x,y,z) \ 1) = R(x,y,z) \ R(1 / (1 / x),y,z). [para(475(a,1),2173(a,1,2)),flip(a)]. 2179 (x * (y * z)) * ((u * ((x * (y * z)) \ (x * y))) / u) = (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)). [para(102(a,1),1401(a,1,2,1,2,1))]. 2180 (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)) = x * ((y * z) * ((u * ((y * z) \ y)) / u)). [hyper(189,a,1397,a(flip),b,2179,a(flip))]. 2181 (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)) = x * (y * (z * ((u * (z \ 1)) / u))). [para(1398(a,1),2180(a,2,2))]. 2182 L(x,y,z) * ((u * (L(x,y,z) \ 1)) / u) = L(x * ((u * (x \ 1)) / u),y,z). [hyper(346,a,2181,a),flip(a)]. 2183 L(x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)),y,z) = L(x,y,z) * (1 / L(x,y,z)). [para(17(a,1),2182(a,1,2,1)),flip(a)]. 2184 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(189,a,1535,a,b,2183,a)]. 2185 L(K(L(x,y,z),1 / x),y,z) = K(L(x,y,z),L(x,y,z) \ 1). [para(1325(a,1),2184(a,1,1))]. 2186 L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)) = K(L(x,y,z),L(x,y,z) \ 1). [hyper(189,a,2161,a,b,2185,a(flip)),flip(a)]. 2187 (L(x,y,z) / x) \ (1 / x) = 1 / L(x,y,z). [hyper(20,a,1535,a(flip),b,2186,a)]. 2188 L(1 / (1 / x),y,z) \ 1 = 1 / L(x,y,z). [hyper(189,a,2177,a,b,2187,a(flip)),flip(a)]. 2189 L(1 / (1 / x),y,z) = 1 / (1 / L(x,y,z)). [para(2188(a,1),67(a,1,2)),flip(a)]. 2190 1 / L(x \ 1,y,z) = L(1 / x,y,z) \ 1. [para(67(a,1),2188(a,1,1,1,2)),flip(a)]. 2191 1 / L(K(x,y),z,u) = L(K(x,y),z,u) \ 1. [para(2005(a,1),2188(a,1,1,1)),flip(a)]. 2192 1 / (1 / L(x \ 1,y,z)) = L(1 / x,y,z). [para(67(a,1),2189(a,1,1,2)),flip(a)]. 2193 (L(1 / x,y,z) \ 1) \ 1 = L(x \ 1,y,z). [para(2190(a,1),69(a,1,1))]. 2194 (L(K(x,y),z,u) \ 1) \ 1 = L(K(x,y),z,u). [para(2191(a,1),69(a,1,1))]. 2195 L(1 / x,x,y) = 1 / (1 / ((y * x) \ y)). [para(140(a,1),2192(a,1,2,2)),flip(a)]. 2196 L(1 / (x \ y),x \ y,x) = 1 / (1 / (y \ x)). [para(276(a,1),2192(a,1,2,2)),flip(a)]. 2197 L(1 / x,x,y / x) = 1 / (1 / (y \ (y / x))). [para(279(a,1),2192(a,1,2,2)),flip(a)]. 2198 K(L(x \ 1,x,y) \ 1,L(x \ 1,x,y)) = ((y * x) \ y) \ L(1 / x,x,y). [para(2192(a,1),574(a,2,2))]. 2199 L(x,x \ 1,y) = 1 / (1 / ((y * (x \ 1)) \ y)). [para(67(a,1),2195(a,1,1))]. 2200 L((x \ 1) \ 1,y,z) = (L(x,y,z) \ 1) \ 1. [para(67(a,1),2193(a,1,1,1,1)),flip(a)]. 2202 L((((x \ y) \ z) \ 1) \ 1,x \ y,x) = ((y \ (x * z)) \ 1) \ 1. [para(359(a,1),2200(a,2,1,1))]. 2203 L(T(x \ 1,x),y,z) = (L(x \ 1,y,z) \ 1) \ 1. [para(627(a,2),2200(a,1,1))]. 2204 x * ((x \ y) * (1 / (x \ y))) = y * (1 / (1 / (y \ x))). [para(2196(a,1),344(a,1,2)),flip(a)]. 2205 x \ ((x / y) * K(y,y \ 1)) = 1 / (1 / (x \ (x / y))). [hyper(189,a,1555,a,b,2197,a(flip)),flip(a)]. 2206 x * K(x \ y,y \ x) = y * (1 / (1 / (y \ x))). [para(2000(a,1),2204(a,1,2))]. 2207 x \ (y * K(y \ x,x \ y)) = 1 / (1 / (x \ y)). [hyper(426,a,2206,a)]. 2209 L(x \ (1 / (1 / (y \ (y * x)))),x,y) = K((y * x) \ y,y \ (y * x)). [para(2207(a,1),343(a,1,1,2))]. 2210 (x / y) * K(y,y \ 1) = x * (1 / (1 / (x \ (x / y)))). [para(2205(a,1),17(a,1,2)),flip(a)]. 2211 K((x / y) \ x,x \ (x / y)) = K(y,y \ 1). [hyper(20,a,2206,a,b,2210,a),flip(a)]. 2212 L(T((x \ y) \ z,z \ (x \ y)),x \ y,x) = ((y \ (x * z)) \ 1) \ 1. [para(1986(a,2),2202(a,1,1))]. 2213 L(x \ (1 / (1 / x)),x,y) = K((y * x) \ y,y \ (y * x)). [para(16(a,1),2209(a,1,1,2,2,2))]. 2214 L(K(x \ 1,x),x,y) = K((y * x) \ y,y \ (y * x)). [para(477(a,1),2213(a,1,1))]. 2215 T(x \ (y * z),z \ (y \ x)) = ((x \ (y * z)) \ 1) \ 1. [hyper(189,a,582,a(flip),b,2212,a(flip)),flip(a)]. 2216 T(a(x,y,z),z \ ((x * y) \ (x * (y * z)))) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(27(a,2),2215(a,1,1))]. 2217 T(a(x,y,z),z \ L(z,y,x)) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(31(a,2),2216(a,1,2,2))]. 2218 T(a(x,y,z),z \ L(z,y,x)) = (a(x,y,z) \ 1) \ 1. [para(27(a,2),2217(a,2,1,1))]. 2219 (((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(33(a,2),1725(a,2,2,1,1))]. 2220 (((x * y) * R((x * y) \ y,z,u)) * w) / (y * w) = R(x,y,w) * R(R(x,y,w) \ 1,z,u). [para(1634(a,1),2219(a,1,1))]. 2221 (((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),2220(a,1,1,1))]. 2222 R(x,y,z) * R(R(x,y,z) \ 1,u,w) = R(x * R(x \ 1,u,w),y,z). [hyper(385,a,2221,a),flip(a)]. 2224 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(189,a,872,a(flip),b,2222,a(flip))]. 2225 ((x \ 1) / (x \ R(x,y,z))) * R(x,y,z) = R(x * T(x \ 1,R(x,y,z)),y,z). [para(1662(a,1),2224(a,1,1,2)),flip(a)]. 2226 ((x \ 1) / (x \ R(x,y,z))) * R(x,y,z) = K(R(x,y,z) \ 1,R(x,y,z)). [hyper(189,a,2014,a(flip),b,2225,a)]. 2227 (x \ 1) / (x \ R(x,y,z)) = R(x,y,z) \ 1. [hyper(21,a,165,a(flip),b,2226,a)]. 2228 ((x * y) * (z * L(z \ ((x * y) \ (y * z)),u,w))) / (R(x,y,z) \ ((x * y) * z)) = R(x,y,z) * L(R(x,y,z) \ 1,u,w). [para(811(a,1),1241(a,1,1))]. 2229 K(x,y) * (z * T(z \ L((y \ 1) \ z,y \ 1,y * K(x,y)),u)) = ((y * K(x,y)) * (y \ T(y,u))) * z. [para(770(a,1),1945(a,2,1,2))]. 2230 (((x * y) * L((x * y) \ y,z,u)) * w) / (R(x,y,w) \ ((x * y) * w)) = R(x,y,w) * L(R(x,y,w) \ 1,z,u). [para(1334(a,1),2228(a,1,1))]. 2231 (((x * L(x \ 1,y,z)) * u) * w) / (R(x,u,w) \ ((x * u) * w)) = R(x,u,w) * L(R(x,u,w) \ 1,y,z). [para(1337(a,1),2230(a,1,1,1))]. 2232 (((x * L(x \ 1,y,z)) * u) * w) / (u * w) = R(x,u,w) * L(R(x,u,w) \ 1,y,z). [para(133(a,1),2231(a,1,2))]. 2233 R(x,y,z) * L(R(x,y,z) \ 1,u,w) = R(x * L(x \ 1,u,w),y,z). [hyper(385,a,2232,a),flip(a)]. 2235 R(x,y,z) * L(R(x,y,z) \ 1,x,1 / x) = R(x * T(1 / x,1),y,z). [para(579(a,1),2233(a,2,1,2))]. 2236 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(880(a,1),2233(a,1,2))]. 2237 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(x * T(1 / x,1),y,z). [para(929(a,1),2235(a,1,2))]. 2238 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(x * (1 / x),y,z). [para(188(a,1),2237(a,2,1,2))]. 2239 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(K(x,x \ 1),y,z). [para(1535(a,2),2238(a,2,1))]. 2240 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(15(a,1),2236(a,1,2,2)),flip(a)]. 2241 (1 / x) * ((((y * x) \ y) \ (((y * x) \ y) * x)) * ((y * x) \ y)) = (T(x,(y * x) \ y) / x) * ((y * x) \ y). [para(792(a,1),1207(a,2,1))]. 2242 (T(x,(y * x) \ y) / x) * ((y * x) \ y) = (1 / x) * (x * ((y * x) \ y)). [para(16(a,1),2241(a,1,2,1)),flip(a)]. 2243 (T(x,(y * x) \ y) / x) * ((y * x) \ y) = L(1 / x,x,y). [hyper(189,a,710,a(flip),b,2242,a)]. 2244 K(x,(y * x) \ y) * ((y * x) \ y) = L(1 / x,x,y). [para(1720(a,1),2243(a,1,1))]. 2245 K(x,x \ 1) * ((y * x) \ y) = L(1 / x,x,y). [para(1990(a,1),2244(a,1,1))]. 2246 ((x * y) \ x) * T(K(y,y \ 1),(x * y) \ x) = L(1 / y,y,x). [hyper(206,a,2245,a)]. 2248 ((x * y) \ x) * K(y,y \ 1) = L(1 / y,y,x). [para(1152(a,1),2246(a,1,2))]. 2249 ((x * y) \ x) \ L(1 / y,y,x) = K(y,y \ 1). [hyper(80,a,2248,a)]. 2251 K(L(x \ 1,x,y) \ 1,L(x \ 1,x,y)) = K(x,x \ 1). [hyper(189,a,2198,a,b,2249,a(flip)),flip(a)]. 2253 x * T(y,L(y \ 1,y,x)) = (x * y) * K(y,y \ 1). [para(2251(a,1),1098(a,1,2)),flip(a)]. 2254 (x * y) * K(y,y \ 1) = x * ((y \ 1) \ 1). [para(1987(a,1),2253(a,1,2)),flip(a)]. 2255 (x * y) * K(y,y \ 1) = x * T(y,y \ 1). [para(1989(a,1),2253(a,1,2)),flip(a)]. 2257 (x / y) * ((y \ 1) \ 1) = x * K(y,y \ 1). [hyper(252,a,2254,a),flip(a)]. 2258 (x * K(y,y \ 1)) * y = x * ((y \ 1) \ 1). [hyper(189,a,1562,a,b,2254,a(flip)),flip(a)]. 2259 K(x,x \ 1) \ (y * ((x \ 1) \ 1)) != z | T(y * x,K(x,x \ 1)) = z. [para(2254(a,1),238(a,1,2))]. 2261 (x * K(y,y \ 1)) * y = x * T(y,y \ 1). [hyper(189,a,1562,a,b,2255,a(flip)),flip(a)]. 2262 (x / T(y,y \ 1)) * K(y,y \ 1) = x / y. [hyper(76,a,258,a(flip),b,2258,a),flip(a)]. 2263 (x * (y \ 1)) * K(y,y \ 1) = x * (1 / y). [hyper(21,a,491,a(flip),b,2258,a)]. 2266 (x * K(y,y \ 1)) * y = x * (K(y,y \ 1) * y). [para(1540(a,2),2258(a,2,2))]. 2267 (x / (y \ 1)) * (1 / y) = x * K(y,y \ 1). [hyper(252,a,2263,a),flip(a)]. 2268 (x * y) * (y \ 1) = R(x,y,1 / y). [hyper(21,a,1547,a,b,2263,a)]. 2269 ((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(2263(a,1),378(a,1,1))]. 2270 R(x,y,1 / y) = R(x,y,y \ 1). [hyper(387,a,2268,a),flip(a)]. 2271 (x * (y \ 1)) * ((y \ 1) \ 1) = R(x,y \ 1,y). [para(67(a,1),2268(a,2,3))]. 2272 (x * (1 / y)) * y = R(x,y \ 1,y). [hyper(189,a,491,a(flip),b,2271,a(flip)),flip(a)]. 2273 R(x,y \ 1,y) / y = x * (1 / y). [hyper(76,a,2271,a(flip),b,491,a(flip))]. 2274 R(x,y \ 1,y) != z | R(x,y \ 1,(y \ 1) \ 1) = z. [para(2271(a,1),387(a,1))]. 2275 R(x,1 / y,y) = R(x,y \ 1,y). [hyper(591,a,2272,a)]. 2276 R(x / (1 / y),y \ 1,y) = x * y. [hyper(252,a,2272,a),flip(a)]. 2277 ((1 / x) * K(y,x)) * x = R(K(y,x),x \ 1,x). [para(1821(a,1),2272(a,1,1))]. 2278 R(x,(1 / y) \ 1,1 / y) / (1 / y) = x * (y * K(y \ 1,y)). [para(474(a,2),2273(a,2,2))]. 2279 R(x,K(y,y \ 1),y) = x. [hyper(376,a,2266,a)]. 2280 L(x,K(x,x \ 1),y) = x. [hyper(346,a,2266,a)]. 2281 R(x,K(y \ 1,y),1 / y) = x. [para(1835(a,1),2279(a,1,2))]. 2282 L(1 / x,K(x \ 1,x),y) = 1 / x. [para(1835(a,1),2280(a,1,2))]. 2283 L(1 / (1 / x),K(x,x \ 1),y) = 1 / (1 / x). [para(2280(a,1),2189(a,2,2,2))]. 2284 (x * K(y \ 1,y)) * (1 / y) = x * (y \ 1). [para(2281(a,1),1831(a,1,1)),flip(a)]. 2285 x * ((y \ 1) * (y * T(y \ 1,x))) = (1 / y) * (x * K(y \ 1,y)). [para(2282(a,1),2121(a,1,1)),flip(a)]. 2286 (x / (y \ 1)) * K(y \ 1,y) = x / (1 / y). [hyper(76,a,19,a(flip),b,2284,a),flip(a)]. 2287 R(x * K(y \ 1,y),y \ 1,y) = (x * (y \ 1)) * y. [para(2284(a,1),2272(a,1,1)),flip(a)]. 2290 (x * K(y,y \ 1)) \ (x * y) = 1 / (1 / y). [hyper(189,a,1611,a(flip),b,2283,a(flip)),flip(a)]. 2292 (x / y) * K(y,y \ 1) = x / (1 / (1 / y)). [para(2290(a,1),234(a,1,2)),flip(a)]. 2293 x * (1 / (1 / (x \ (x / y)))) = x / (1 / (1 / y)). [hyper(189,a,2210,a(flip),b,2292,a(flip)),flip(a)]. 2294 1 / (1 / (x \ (x / y))) = x \ (x / (1 / (1 / y))). [hyper(75,a,2292,a(flip),b,2210,a(flip)),flip(a)]. 2295 x / (1 / (1 / (y \ x))) = x * (1 / (1 / (x \ y))). [para(67(a,1),2293(a,1,2,2,2,2)),flip(a)]. 2296 (x \ (x / (1 / (1 / y)))) \ 1 = 1 / (x \ (x / y)). [para(2294(a,1),69(a,1,1))]. 2297 x / (1 / (1 / ((x * y) \ x))) = x * (1 / (1 / y)). [para(16(a,1),2295(a,2,2,2,2))]. 2298 1 / (x \ (x / (y \ 1))) = (x \ (x / (1 / y))) \ 1. [para(67(a,1),2296(a,1,1,2,2,2)),flip(a)]. 2299 1 / (x \ (x / ((y \ 1) \ 1))) = (x \ (x / y)) \ 1. [para(130(a,1),2296(a,1,1,2,2)),flip(a)]. 2300 x / L(y,y \ 1,x) = x * (1 / (1 / (y \ 1))). [para(2199(a,2),2297(a,1,2))]. 2301 x / L(y,y \ 1,x) = x * (1 / y). [para(67(a,1),2300(a,2,2,2))]. 2302 L(x,x \ 1,y) = (y * (1 / x)) \ y. [para(2301(a,1),69(a,1,1)),flip(a)]. 2303 K(x \ (x / L(y,y \ 1,x)),z) = K(1 / y,z). [para(2301(a,2),1215(a,1,1,2))]. 2304 L(x,1 / x,y) = L(x,x \ 1,y). [hyper(189,a,284,a,b,2302,a),flip(a)]. 2305 L(x \ 1,(x \ 1) \ 1,y) = L(x \ 1,x,y). [para(67(a,1),2304(a,1,2)),flip(a)]. 2306 L(x \ 1,T(x,x \ 1),y) = L(x \ 1,x,y). [para(114(a,2),2305(a,1,2))]. 2307 L(T(x \ 1,x),T(x,x \ 1),y) = (L(x \ 1,x,y) \ 1) \ 1. [para(2306(a,1),2203(a,2,1,1))]. 2308 L(x * T(x \ 1,y),x \ 1,y) = K(1 / x,y). [hyper(189,a,1973,a,b,2303,a(flip)),flip(a)]. 2309 L((1 / x) * T((1 / x) \ 1,y),x,y) = K(1 / (1 / x),y). [para(69(a,1),2308(a,1,2))]. 2310 ((x \ (x / y)) \ 1) \ 1 = x \ (x / ((y \ 1) \ 1)). [para(2299(a,1),69(a,1,1))]. 2311 T(x \ (x / y),y) = x \ (x / ((y \ 1) \ 1)). [hyper(189,a,1996,a,b,2310,a(flip)),flip(a)]. 2312 x * T(x \ (x / y),y) = x / ((y \ 1) \ 1). [para(2311(a,2),17(a,1,2))]. 2313 (x / y) * K(y \ 1,y) = x / ((y \ 1) \ 1). [hyper(189,a,842,a,b,2312,a(flip)),flip(a)]. 2314 (x * y) / ((y \ 1) \ 1) = x * K(y \ 1,y). [para(18(a,1),2313(a,1,1)),flip(a)]. 2316 (x / ((y \ 1) \ 1)) * y = x * K(y \ 1,y). [para(2313(a,1),1197(a,1,1))]. 2317 (x * K(y \ 1,y)) * ((y \ 1) \ 1) = x * y. [para(2314(a,1),19(a,1,1))]. 2318 (x * T(y,z)) / T(T(y,y \ 1),z) = x * K(T(y,z) \ 1,T(y,z)). [para(2093(a,2),2314(a,1,2))]. 2319 (x * ((y \ 1) \ 1)) * K(y \ 1,y) = x * y. [para(18(a,1),2316(a,1,1)),flip(a)]. 2320 (x * T(y,y \ 1)) * K(y \ 1,y) = x * y. [para(531(a,1),2316(a,1,1)),flip(a)]. 2321 T(x * ((y \ 1) \ 1),z) * K(y \ 1,y) = (y \ T(y * x,z)) * y. [para(788(a,1),2316(a,1,1)),flip(a)]. 2322 (x * K(y,y \ 1)) * K(y \ 1,y) = x. [hyper(21,a,2258,a(flip),b,2317,a)]. 2323 (x * K(y \ 1,y)) * K(y,y \ 1) = x. [hyper(21,a,2258,a,b,2317,a(flip)),flip(a)]. 2324 x / K(y,y \ 1) = x * K(y \ 1,y). [hyper(252,a,2322,a),flip(a)]. 2325 (x / y) * y = (x * K(z,z \ 1)) * K(z \ 1,z). [hyper(189,a,19,a,b,2322,a),flip(a)]. 2326 (x * K(y,y \ 1)) \ x = K(y \ 1,y). [hyper(80,a,2322,a)]. 2327 (x / (1 / y)) * K(y,y \ 1) = x / (y \ 1). [hyper(21,a,2286,a,b,2322,a)]. 2329 x * K(y \ 1,y) != z | z * K(y,y \ 1) = x. [para(2322(a,1),23(a,1)),flip(a)]. 2330 (x / (y * x)) * K(y \ 1,y) = R(y \ 1,y,x). [para(1746(a,2),2322(a,1,1))]. 2331 x * K(y,y \ 1) != z | z * K(y \ 1,y) = x. [para(2323(a,1),23(a,1)),flip(a)]. 2332 (x * y) * K(x \ 1,x) = x * (y / K(x,x \ 1)). [hyper(189,a,2040,a(flip),b,2324,a(flip))]. 2333 (x * K(y,y \ 1)) * K(y \ 1,y) != z | z = x. [para(2324(a,1),248(a,1))]. 2334 x * K(y \ 1,y) != z * y | z * ((y \ 1) \ 1) = x. [para(2319(a,1),23(a,1)),flip(a)]. 2335 (x * ((y \ 1) \ 1)) * (y \ 1) = (x * y) * (1 / y). [para(2319(a,1),2284(a,1,1)),flip(a)]. 2336 x * K(y \ 1,y) != z * y | z * T(y,y \ 1) = x. [para(2320(a,1),23(a,1)),flip(a)]. 2337 L(x * ((y \ 1) \ 1),z,u) * K(y \ 1,y) = (y \ L(y * x,z,u)) * y. [para(2082(a,1),2320(a,1,1))]. 2338 (x * T(y,y \ 1)) * (y \ 1) = (x * y) * (1 / y). [para(2320(a,1),2284(a,1,1)),flip(a)]. 2339 (R(x,y,y \ 1) / (1 / y)) * K(y,y \ 1) = x * y. [hyper(189,a,373,a(flip),b,2327,a)]. 2340 K(x / (y * x),y) = K(y \ 1,y). [hyper(20,a,1845,a,b,2330,a),flip(a)]. 2341 K(x / (y * x),(x / (y * x)) \ 1) = K(y \ 1,y). [hyper(2134,a,2340,a)]. 2342 K((x / y) \ 1,x / y) = K(y / x,x / y). [para(19(a,1),2340(a,1,1,2)),flip(a)]. 2343 K(x \ 1,x) * (y / (x * y)) != z | R(x \ 1,x,y) = z. [para(2340(a,1),1780(a,1,1))]. 2345 K((x / (y * x)) \ 1,x / (y * x)) = K(y,x / (y * x)). [para(18(a,1),2342(a,2,1))]. 2349 (x * y) * K(x \ 1,x) = x * (y * K(x \ 1,x)). [para(2324(a,1),2332(a,2,2))]. 2350 ((x / y) * (y / x)) * ((x / y) \ 1) = ((y / x) * (x / y)) * (1 / (x / y)). [para(1769(a,1),2335(a,1,1))]. 2351 ((x / (x * y)) * y) * (1 / y) = (y * (x / (x * y))) * (y \ 1). [para(2112(a,1),2338(a,1,1)),flip(a)]. 2352 K(x \ 1,x) * (y / (x * y)) = ((y / (x * y)) \ 1) \ 1. [para(2341(a,1),1540(a,1,1))]. 2353 R(x,y,K(x \ 1,x)) = x. [hyper(376,a,2349,a)]. 2354 x * (y * K(x \ 1,x)) != z | (x * y) * K(x \ 1,x) = z. [para(2353(a,1),204(a,1,1))]. 2355 R(x,y \ 1,(y \ 1) \ 1) = R(x,1 / y,y). [hyper(2274,a,2275,a(flip))]. 2356 R(x,(y \ 1) \ 1,T(y \ 1,y)) = R(x,1 / (y \ 1),y \ 1). [para(627(a,2),2355(a,1,3))]. 2357 R(((x \ (x / (y \ 1))) * x) * K(y \ 1,y),y \ 1,y) = (x * ((y \ 1) * T((y \ 1) \ 1,x))) * y. [para(1167(a,1),2287(a,2,1))]. 2359 K((x / (y * x)) \ 1,x / (y * x)) = K(y,y \ 1). [hyper(189,a,2129,a(flip),b,2345,a)]. 2361 K((x * y) / y,y / (x * y)) = K(x,x \ 1). [hyper(189,a,2342,a(flip),b,2359,a(flip)),flip(a)]. 2362 K(x,x \ 1) * (x * y) = T(x,x \ 1) * y. [para(2359(a,1),1756(a,1,1))]. 2363 (K(x,x \ 1) * y) / (x * y) = 1 / (1 / R(1 / x,x,y)). [para(2361(a,1),2136(a,1,1,1))]. 2364 T(x,x \ 1) * (x \ y) = K(x,x \ 1) * y. [hyper(254,a,2362,a),flip(a)]. 2365 K(x,x \ 1) * (x * y) = ((x \ 1) \ 1) * y. [hyper(189,a,219,a(flip),b,2362,a)]. 2366 L(x,y,K(y,y \ 1)) = x. [hyper(1556,a,2362,a(flip))]. 2367 x * (K(x,x \ 1) * y) = T(x,x \ 1) * y. [hyper(189,a,1575,a(flip),b,2362,a(flip)),flip(a)]. 2368 (T(x,x \ 1) * y) / (K(x,x \ 1) * y) = x. [hyper(76,a,2362,a(flip),b,1575,a(flip))]. 2371 L(x,K(y \ 1,y),1 / y) = x. [hyper(189,a,1837,a(flip),b,2366,a(flip)),flip(a)]. 2372 L(x,1 / y,K(y \ 1,y)) = x. [para(1835(a,1),2366(a,1,3))]. 2374 (1 / x) * (x * y) = L(y,x,x \ 1). [hyper(189,a,1930,a(flip),b,2371,a(flip)),flip(a)]. 2375 L(x,y,y \ 1) / (y * x) = 1 / y. [hyper(76,a,2371,a(flip),b,1930,a(flip))]. 2376 K(x \ 1,x) * ((x \ 1) \ y) = (1 / x) \ y. [hyper(189,a,1848,a(flip),b,2372,a(flip)),flip(a)]. 2377 L(x,1 / (1 / y),K(y,y \ 1)) = x. [para(1536(a,1),2372(a,1,3))]. 2378 K(x \ 1,x) * ((1 / x) * y) = (x \ 1) * y. [para(2372(a,1),1830(a,1,2)),flip(a)]. 2379 L(x \ y,x,x \ 1) = (1 / x) * y. [para(2372(a,1),1847(a,1,1,2))]. 2380 L(x,y,1 / y) = L(x,y,y \ 1). [hyper(358,a,2374,a)]. 2382 x * ((1 / x) * (y * x)) = L(y,x,x \ 1) * x. [hyper(20,a,864,a(flip),b,2374,a)]. 2383 L(L(x \ y,z,u),x,x \ 1) = L((1 / x) * y,z,u). [hyper(189,a,822,a(flip),b,2374,a(flip))]. 2384 L(T(x,y),y,y \ 1) = (1 / y) * (x * y). [para(113(a,1),2374(a,1,2)),flip(a)]. 2385 L((x \ 1) * y,x,x \ 1) = (1 / x) * L(y,x \ 1,x). [para(166(a,1),2374(a,1,2)),flip(a)]. 2386 L(x,y,y \ 1) \ ((1 / y) * (x * y)) = L(K(x,y),y * x,1 / y). [para(2374(a,1),217(a,1,1))]. 2387 L(L(x,y,z) \ 1,x,x \ 1) = (1 / x) * (L(x,y,z) \ x). [para(964(a,1),2374(a,1,2)),flip(a)]. 2388 L(T(x,y) \ 1,x,x \ 1) = (1 / x) * (T(x,y) \ x). [para(987(a,1),2374(a,1,2)),flip(a)]. 2389 (1 / x) \ L(L(y,x,x \ 1),z,u) != x * w | L(y,z,u) = w. [para(2380(a,1),818(a,1,2,1))]. 2390 (1 / x) * (x * y) != z | L(y,x,x \ 1) = z. [para(2375(a,1),200(a,1,1)),flip(b)]. 2391 K(x,x \ 1) * ((1 / (1 / x)) * y) = x * y. [para(2377(a,1),1612(a,1,2)),flip(a)]. 2392 T(x,y) * L(T(x,y) \ 1,x,x \ 1) = T(x * ((1 / x) * 1),y). [para(2379(a,1),1923(a,2,1,2))]. 2393 T(x,(1 / x) * y) = T(x,(x \ 1) * y). [para(2379(a,1),2056(a,1,2))]. 2394 T(x \ 1,((x \ 1) \ 1) * y) = T(x \ 1,x * y). [para(67(a,1),2393(a,1,2,1)),flip(a)]. 2395 x * ((1 / x) * (y * x)) != z | L(y,x,x \ 1) * x = z. [para(2384(a,1),303(a,1,2))]. 2396 ((x \ 1) \ 1) * (x \ y) = K(x,x \ 1) * y. [hyper(551,a,2364,a)]. 2397 K(x,x \ 1) \ (y * ((x \ 1) \ 1)) = x * T(y,(x \ 1) \ 1). [hyper(75,a,113,a(flip),b,2365,a)]. 2398 x * (K(x,x \ 1) * y) = ((x \ 1) \ 1) * y. [hyper(189,a,1575,a(flip),b,2365,a(flip)),flip(a)]. 2399 R(x,K(x,x \ 1),y) = x. [hyper(1764,a,2368,a)]. 2400 R(1 / x,K(x \ 1,x),y) = 1 / x. [para(1835(a,1),2399(a,1,2))]. 2401 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(2400(a,1),2013(a,1,1)),flip(a)]. 2403 (1 / x) \ ((x \ 1) * y) = K(x \ 1,x) * y. [para(16(a,1),2376(a,1,2)),flip(a)]. 2405 (x \ 1) * ((1 / x) \ y) = K(x \ 1,x) * y. [para(2376(a,1),1630(a,1,2))]. 2406 K((1 / T(x,y)) \ 1,1 / T(x,y)) * (((1 / T(x,y)) \ 1) \ z) = T(1 / (1 / x),y) \ z. [para(2097(a,1),2376(a,2,1))]. 2408 ((x * K(y \ 1,y)) * ((1 / y) * z)) / ((y \ 1) * z) = R(x,K(y \ 1,y),(1 / y) * z). [para(2378(a,1),33(a,2,2)),flip(a)]. 2409 ((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(2378(a,1),348(a,1,1))]. 2411 (1 / (1 / x)) * (K(x,x \ 1) * y) = x * y. [hyper(1577,a,2391,a),flip(a)]. 2412 x * ((1 / (1 / x)) \ y) = K(x,x \ 1) * y. [hyper(254,a,2391,a),flip(a)]. 2413 K(x,x \ 1) * ((y \ (1 / (1 / x))) * y) = x * K(y \ (1 / (1 / x)),y). [para(213(a,1),2391(a,1,2))]. 2414 K(x,x \ 1) * (T(x,y) \ 1) = x * (T(x,y) \ (1 / x)). [hyper(189,a,1776,a(flip),b,2396,a(flip))]. 2415 K(x,x \ 1) * (((x \ 1) \ 1) \ y) = x \ y. [hyper(75,a,17,a(flip),b,2398,a),flip(a)]. 2416 K(x,x \ 1) * (y * (x \ 1)) = y * (1 / x). [hyper(20,a,1895,a(flip),b,2398,a)]. 2417 (1 / x) * (K(x \ 1,x) * y) = (x \ 1) * y. [para(2403(a,1),17(a,1,2))]. 2419 K(x \ 1,x) * ((y * ((1 / x) * z)) / y) = (x \ 1) * (x * ((y * (x \ z)) / y)). [para(939(a,1),2405(a,1,2)),flip(a)]. 2420 K(x,x \ 1) * ((x \ 1) * y) = (1 / x) * y. [hyper(746,a,2411,a),flip(a)]. 2421 K(x,x \ 1) * (x \ y) = (1 / (1 / x)) \ y. [hyper(75,a,17,a(flip),b,2411,a),flip(a)]. 2422 K(x,x \ 1) * L(y,x \ 1,x) = x * ((1 / x) * y). [para(745(a,1),2412(a,1,2)),flip(a)]. 2423 K(x / y,(x / y) \ 1) \ y = (((x / y) \ 1) \ 1) \ x. [hyper(75,a,69,a(flip),b,2415,a)]. 2426 (1 / x) \ (K(x,x \ 1) * y) = (x \ 1) \ y. [hyper(432,a,2420,a)]. 2427 (1 / x) * ((x \ 1) \ y) = K(x,x \ 1) * y. [hyper(254,a,2420,a),flip(a)]. 2428 K(x,x \ 1) \ ((1 / x) * y) = (x \ 1) * y. [hyper(80,a,2420,a)]. 2429 K(x,x \ 1) \ ((1 / x) * y) != z | (x \ 1) * y = z. [para(2420(a,1),237(a,1,2)),flip(b)]. 2430 (x * ((1 / y) * z)) / L((y \ 1) * z,K(y,y \ 1),x) = x * K(y,y \ 1). [para(2420(a,1),128(a,1,1,2))]. 2431 (x * K(y,y \ 1)) \ (x * ((1 / y) * z)) != u | L((y \ 1) * z,K(y,y \ 1),x) = u. [para(2420(a,1),355(a,1,2,2))]. 2432 (1 / x) \ (K(x,x \ 1) * (T(x,y) \ 1)) = (x \ T(x,y)) \ 1. [hyper(189,a,2064,a(flip),b,2426,a)]. 2433 K(x,x \ 1) * ((1 / x) \ y) = (x \ 1) \ y. [hyper(189,a,1087,a(flip),b,2427,a(flip))]. 2434 (1 / x) \ ((x \ 1) * (K(x,x \ 1) * y)) = y. [hyper(20,a,16,a(flip),b,2433,a)]. 2435 ((x \ 1) \ 1) \ ((x \ 1) \ y) = x \ ((1 / x) \ y). [hyper(75,a,2433,a(flip),b,2396,a)]. 2436 K(x,x \ 1) * (((x \ y) / y) * x) = (x \ 1) \ ((x \ y) / y). [para(912(a,1),2433(a,1,2))]. 2437 K(x \ 1,x) * (K(x,x \ 1) * y) = y. [hyper(189,a,2403,a(flip),b,2434,a(flip)),flip(a)]. 2438 K(x \ 1,x) \ y = K(x,x \ 1) * y. [hyper(75,a,2434,a(flip),b,2403,a(flip))]. 2439 K(x,x \ 1) * (K(x \ 1,x) * y) = y. [hyper(20,a,2403,a(flip),b,2434,a(flip)),flip(a)]. 2440 (x \ 1) * (K(x,x \ 1) * y) = (1 / x) * y. [para(2434(a,1),17(a,1,2)),flip(a)]. 2441 K(x \ 1,x) * y != z | K(x,x \ 1) * z = y. [para(2437(a,1),22(a,1)),flip(a)]. 2442 K(x \ 1,x) * (T(x,x \ 1) * y) = x * y. [para(2362(a,1),2437(a,1,2))]. 2443 K(x \ 1,x) * (((x \ 1) \ 1) * y) = x * y. [para(2365(a,1),2437(a,1,2))]. 2444 K(x \ 1,x) * (x * y) = (1 / (1 / x)) * y. [para(2391(a,1),2437(a,1,2))]. 2445 K(x \ 1,x) * (x \ y) = ((x \ 1) \ 1) \ y. [para(2415(a,1),2437(a,1,2))]. 2446 K(x \ 1,x) * (y * (1 / x)) = y * (x \ 1). [para(2416(a,1),2437(a,1,2))]. 2447 K(x \ 1,x) * ((1 / (1 / x)) \ y) = x \ y. [para(2421(a,1),2437(a,1,2))]. 2448 K(x \ 1,x) \ (x * y) = ((x \ 1) \ 1) * y. [hyper(189,a,2365,a(flip),b,2438,a)]. 2449 K(x \ 1,x) * (K(x,x \ 1) * y) != z | z = y. [para(2438(a,1),203(a,1,2))]. 2451 K(x \ 1,x) * R(K(x,x \ 1) * (y * x),z,u) = (x \ R(x * y,z,u)) * x. [para(2438(a,1),2023(a,1,2,1))]. 2452 x \ (K(x \ 1,x) * y) = ((x \ 1) \ 1) \ y. [hyper(75,a,2439,a(flip),b,2396,a),flip(a)]. 2453 x \ (K(x \ 1,x) * y) = T(x,x \ 1) \ y. [hyper(75,a,2439,a(flip),b,2364,a),flip(a)]. 2454 T(x,x \ 1) * (K(x \ 1,x) * y) = x * y. [para(2439(a,1),2367(a,1,2)),flip(a)]. 2455 ((x \ 1) \ 1) * (K(x \ 1,x) * y) = x * y. [para(2439(a,1),2398(a,1,2)),flip(a)]. 2456 (x \ 1) * (K(x,x \ 1) * L((1 / x) \ y,z,u)) = L(y * x,z,u) / x. [hyper(189,a,1285,a(flip),b,2440,a)]. 2458 x * (T(T(x,x \ 1),y) * (T(x,x \ 1) \ z)) = K(x \ 1,x) * (T(T(x,x \ 1),y) * z). [para(974(a,1),2442(a,1,2)),flip(a)]. 2460 (1 / (1 / x)) * (x \ y) = K(x \ 1,x) * y. [hyper(254,a,2444,a),flip(a)]. 2461 ((1 / (1 / x)) * y) / (K(x \ 1,x) * y) = x. [hyper(76,a,2444,a(flip),b,1191,a(flip))]. 2462 T(x \ (y \ x),y) = x \ (((y \ 1) \ 1) \ x). [hyper(75,a,2445,a(flip),b,910,a(flip)),flip(a)]. 2463 K(x \ 1,x) * (1 / T(x,y)) = x \ (x / T(x,y)). [para(2119(a,1),2447(a,1,2))]. 2464 (x \ 1) \ (K(x,x \ 1) * y) = (((x \ 1) \ 1) \ 1) \ y. [para(1838(a,1),2452(a,1,2,1))]. 2465 x * (T(T(x,y),z) * (T(x,x \ 1) \ u)) = T(T(x,y),z) * (K(x \ 1,x) * u). [para(2453(a,1),1698(a,1,2,2))]. 2466 T(R(x,y,z),R(x,y,z) \ 1) \ ((x * y) * z) = K(R(x,y,z) \ 1,R(x,y,z)) * (y * z). [hyper(75,a,110,a(flip),b,2454,a)]. 2467 R(x,K(x \ 1,x),y) = x. [hyper(649,a,2461,a)]. 2468 (T(x,y) * K(x \ 1,x)) * z = T(x,y) * (K(x \ 1,x) * z). [para(2467(a,1),380(a,1,1,1)),flip(a)]. 2469 T(x \ ((1 / y) \ x),1 / y) = x \ ((y \ 1) \ x). [para(69(a,1),2462(a,2,2,1,1))]. 2473 T(K(x \ 1,x),y) = K(x \ 1,x). [hyper(21,a,1454,a,b,2463,a),flip(a)]. 2475 K(x \ 1,x) * y = y * K(x \ 1,x). [para(2473(a,1),113(a,1,2)),flip(a)]. 2476 T((x \ 1) * x,y) = K(x \ 1,x). [para(165(a,1),2473(a,1,1))]. 2477 x * K(y \ 1,y) != z | K(y \ 1,y) * x = z. [para(2473(a,1),205(a,1,2))]. 2479 (K(x,x \ 1) * y) * K(x \ 1,x) = y. [hyper(2449,a,2475,a)]. 2480 K(x,x \ 1) * (y * K(x \ 1,x)) = y. [hyper(2441,a,2475,a)]. 2481 K(x \ 1,x) * (y * K(x,x \ 1)) = y. [hyper(189,a,2322,a(flip),b,2475,a)]. 2482 K(x \ 1,x) * (y * T(x,x \ 1)) = y * x. [hyper(189,a,2320,a(flip),b,2475,a)]. 2483 K(x \ 1,x) * (y / x) = y / ((x \ 1) \ 1). [hyper(189,a,2313,a(flip),b,2475,a)]. 2484 K(x \ 1,x) * (y / (x \ 1)) = y / (1 / x). [hyper(189,a,2286,a(flip),b,2475,a)]. 2485 K(x \ 1,x) * (y / x) = y * T(y \ (y / x),x). [hyper(189,a,842,a(flip),b,2475,a)]. 2486 (K(x \ 1,x) * y) * K(x,x \ 1) = y. [hyper(20,a,2322,a(flip),b,2475,a)]. 2487 (x \ 1) * ((1 / x) \ y) = y * K(x \ 1,x). [hyper(189,a,2405,a,b,2475,a(flip)),flip(a)]. 2488 (x * y) * K(x \ 1,x) = (1 / (1 / x)) * y. [hyper(189,a,2444,a(flip),b,2475,a(flip))]. 2489 ((1 / x) * y) * K(x \ 1,x) = (x \ 1) * y. [hyper(189,a,2378,a(flip),b,2475,a(flip))]. 2490 ((x \ 1) \ y) * K(x \ 1,x) = (1 / x) \ y. [hyper(189,a,2376,a(flip),b,2475,a(flip))]. 2491 L(x \ 1,x,K(y \ 1,y)) = (x * K(y \ 1,y)) \ K(y \ 1,y). [para(2475(a,1),140(a,2,1))]. 2492 (x * K(y \ 1,y)) * L(z,x,K(y \ 1,y)) = K(y \ 1,y) * (x * z). [para(2475(a,1),102(a,1,1))]. 2493 T(x * K(y \ 1,y),y) = K(y \ 1,y) * T(x,y). [para(2475(a,1),2050(a,1,1))]. 2494 K(x \ 1,x) * y != z | z * K(x,x \ 1) = y. [para(2475(a,2),2329(a,1))]. 2495 K(x \ 1,x) * (y * K(x,x \ 1)) != z | z = y. [para(2475(a,2),2333(a,1))]. 2496 (1 / x) * (y * K(x \ 1,x)) = (x \ 1) * y. [para(2475(a,1),2417(a,1,2))]. 2497 x \ (y * K(x \ 1,x)) = T(x,x \ 1) \ y. [para(2475(a,1),2453(a,1,2))]. 2498 ((x \ 1) \ 1) * (y * K(x \ 1,x)) = x * y. [para(2475(a,1),2455(a,1,2))]. 2499 x * K(y \ 1,y) != z | K(y,y \ 1) * z = x. [para(2475(a,1),2441(a,1))]. 2500 K(x,x \ 1) * (y * x) = y * T(x,x \ 1). [hyper(2336,a,2479,a),flip(a)]. 2501 K(x,x \ 1) * (y * x) = y * ((x \ 1) \ 1). [hyper(2334,a,2479,a),flip(a)]. 2502 K(x,x \ 1) * y = y * K(x,x \ 1). [hyper(2329,a,2479,a),flip(a)]. 2503 R((K(x,x \ 1) * y) / z,z,K(x \ 1,x)) = y / (z * K(x \ 1,x)). [para(2479(a,1),111(a,2,1))]. 2504 (x * (T(x,y) / x)) * K(x \ 1,x) = T(1 / (1 / x),y). [para(1617(a,1),2479(a,1,1))]. 2505 (K(x,x \ 1) * y) * x = y * ((x \ 1) \ 1). [para(2479(a,1),2317(a,1,1)),flip(a)]. 2506 K(x \ 1,x) * y != z | y * K(x \ 1,x) = z. [para(2480(a,1),2449(a,1,2)),flip(b)]. 2507 ((x \ 1) * y) * K(x,x \ 1) = (1 / x) * y. [hyper(20,a,2378,a,b,2481,a)]. 2508 ((1 / x) \ y) * K(x,x \ 1) = (x \ 1) \ y. [hyper(20,a,2376,a,b,2481,a)]. 2509 L((x * K(y,y \ 1)) \ z,x * K(y,y \ 1),K(y \ 1,y)) = x \ (K(y \ 1,y) * z). [para(2481(a,1),104(a,2,1))]. 2510 (x \ 1) * (y * K(x,x \ 1)) = (1 / x) * y. [para(2481(a,1),2417(a,1,2)),flip(a)]. 2511 x * K(y,y \ 1) != z | K(y \ 1,y) * z = x. [para(2486(a,1),23(a,1)),flip(a)]. 2512 (x / y) * ((y \ 1) \ 1) = K(y,y \ 1) * x. [hyper(189,a,2257,a,b,2502,a),flip(a)]. 2513 T(x,K(y,y \ 1)) = x. [hyper(149,a,2502,a)]. 2514 T(K(x,x \ 1),y) = K(x,x \ 1). [hyper(147,a,2502,a,b,xx)]. 2515 (x * K(y,y \ 1)) \ ((T(x,K(y,y \ 1)) * z) * K(y,y \ 1)) = L(z,T(x,K(y,y \ 1)),K(y,y \ 1)). [hyper(75,a,2502,a(flip),b,353,a)]. 2518 (K(x,x \ 1) * y) * x = y * T(x,x \ 1). [para(2502(a,2),2261(a,1,1))]. 2519 T(x * y,K(z,z \ 1)) != y * u | T(x,y) = u. [para(2513(a,2),148(a,2)),flip(a)]. 2520 K(x,x \ 1) * y != z | y * K(x,x \ 1) = z. [para(2513(a,1),205(a,1,2))]. 2521 T(x,K(y \ z,z \ y)) = x. [para(1992(a,1),2513(a,1,2))]. 2522 K(x \ y,y \ x) * z = z * K(x \ y,y \ x). [hyper(1882,a,2521,a),flip(a)]. 2523 x * K(y,y \ 1) != z | K(y,y \ 1) * x = z. [para(2514(a,1),205(a,1,2))]. 2524 ((x * y) * K(z,z \ 1)) / (K(z,z \ 1) * y) = R(x,y,T(K(z,z \ 1),y)). [para(2514(a,1),156(a,1,1,2))]. 2525 T(x,T(x,y) \ 1) = x * K(x,x \ 1). [para(2514(a,1),1808(a,1,2)),flip(a)]. 2527 T(x,T(x,y) \ 1) = (x \ 1) \ 1. [hyper(189,a,1761,a(flip),b,2525,a)]. 2528 T(x,T(x,y) \ 1) = T(x,x \ 1). [hyper(189,a,1754,a(flip),b,2525,a)]. 2530 (T(x,y) \ x) / ((x \ 1) \ 1) = T(x,y) \ 1. [para(2527(a,1),992(a,1,2))]. 2531 ((1 / (1 / x)) * y) * (1 / x) = (x * y) * (x \ 1). [para(2488(a,1),2284(a,1,1))]. 2534 ((1 / x) \ y) * (1 / x) = ((x \ 1) \ y) * (x \ 1). [para(2490(a,1),2284(a,1,1))]. 2536 ((x \ 1) \ 1) \ (x * y) = y * K(x \ 1,x). [hyper(80,a,2498,a)]. 2537 K(x,x \ 1) * (((x \ y) / y) * x) != z | x * ((x \ y) / y) = z. [para(2500(a,2),1757(a,1))]. 2538 (((x \ 1) \ 1) \ y) * ((x \ 1) \ 1) = (x \ y) * x. [para(2415(a,1),2505(a,1,1)),flip(a)]. 2539 ((1 / (1 / x)) \ y) * x = (x \ y) * ((x \ 1) \ 1). [para(2421(a,1),2505(a,1,1))]. 2540 (T(x,y) \ 1) * T(x,x \ 1) = T(x,y) \ x. [para(2530(a,1),530(a,1,1))]. 2542 ((x \ 1) \ 1) \ y != z | (x \ y) * K(x \ 1,x) = z. [para(2445(a,1),2506(a,1))]. 2543 1 / (x \ ((y \ 1) \ x)) = (x \ ((1 / y) \ x)) \ 1. [para(2469(a,1),2114(a,1,2))]. 2544 K(L(x,y,z) \ 1,L(x,y,z)) * (x / L(x,y,z)) = x * T(L(x,y,z) \ 1,x). [para(1269(a,1),2485(a,2,2))]. 2546 K(x \ y,y \ x) * x = y * (1 / (1 / (y \ x))). [hyper(189,a,2206,a(flip),b,2522,a)]. 2548 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ (1 / (1 / x))) * y) * (1 / x). [para(213(a,1),2531(a,1,1)),flip(a)]. 2549 (((x \ 1) \ 1) \ y) * ((x \ 1) \ 1) != y * z | K(x \ y,x) = z. [para(2538(a,2),334(a,1))]. 2550 (x \ ((1 / (1 / y)) \ x)) \ 1 = 1 / (x \ (y \ x)). [para(69(a,1),2543(a,1,2,2,1)),flip(a)]. 2551 x * (1 / (1 / (x \ y))) != z * y | K(y \ x,x \ y) = z. [para(2546(a,1),23(a,1))]. 2552 1 / (1 / (x \ (y \ x))) = x \ ((1 / (1 / y)) \ x). [para(2550(a,1),67(a,1,2))]. 2553 x * (1 / (1 / (x \ (y \ x)))) != z * u | ((1 / (1 / y)) \ x) / u = z. [para(2552(a,2),298(a,1,2))]. 2554 L(x,1 / y,y) = L(x,y \ 1,y). [hyper(1548,a,2422,a)]. 2555 L(x,(y \ 1) \ 1,y \ 1) = L(x,y,y \ 1). [para(67(a,1),2554(a,1,2)),flip(a)]. 2556 L(((x \ 1) \ 1) \ y,x,x \ 1) = (x \ 1) * y. [hyper(367,a,2555,a),flip(a)]. 2557 L(x,y,z) * L(L(x,y,z) \ 1,x,x \ 1) = L(x * (1 / (1 / (x \ 1))),y,z). [para(2555(a,1),2158(a,1,2))]. 2558 L(x * K(y \ 1,y),y,y \ 1) = (y \ 1) * (y * x). [para(2536(a,1),2556(a,1,1))]. 2560 L((x \ 1) * ((1 / x) \ y),x,x \ 1) = (x \ 1) * (x * y). [para(2487(a,2),2558(a,1,1))]. 2561 R(x \ 1,x,y) = ((y / (x * y)) \ 1) \ 1. [hyper(2343,a,2352,a)]. 2562 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(2385(a,2),1921(a,1,1))]. 2563 K(x \ 1,x) \ (x * y) = (((y / (x * y)) \ 1) \ 1) \ y. [para(2341(a,1),2423(a,1,1))]. 2565 R(x \ 1,x,y) \ y = K(x \ 1,x) \ (x * y). [para(2561(a,2),2563(a,2,1)),flip(a)]. 2566 R(x \ 1,x,y) \ y = ((x \ 1) \ 1) * y. [hyper(189,a,2448,a(flip),b,2565,a)]. 2567 R(x \ 1,x,y) \ y = T(x,x \ 1) * y. [hyper(189,a,219,a,b,2566,a)]. 2568 R(x,1 / x,y) \ y = (((1 / x) \ 1) \ 1) * y. [para(69(a,1),2566(a,1,1,1))]. 2569 (((x / (y * x)) \ 1) \ 1) \ x = T(y,y \ 1) * x. [para(2561(a,1),2567(a,1,1))]. 2570 R(x,1 / x,y) \ y = (x \ 1) * y. [para(69(a,1),2568(a,2,1,1))]. 2571 R(x,1 / x,y) = y / ((x \ 1) * y). [para(2570(a,1),67(a,1,2)),flip(a)]. 2572 R(x,1 / x,y) = R(x,x \ 1,y). [hyper(189,a,139,a,b,2571,a)]. 2573 R(x \ 1,(x \ 1) \ 1,y) = R(x \ 1,x,y). [para(67(a,1),2572(a,1,2)),flip(a)]. 2574 L(R(x,x \ 1,y),x \ 1,x) = R(1 / (1 / x),1 / x,y). [para(2572(a,1),475(a,1,1))]. 2575 T(x / y,(x / y) \ 1) * y = (((y / x) \ 1) \ 1) \ y. [para(19(a,1),2569(a,1,1,1,1,2)),flip(a)]. 2576 (((x / y) \ 1) \ 1) \ x = (((y / x) \ 1) \ 1) * x. [hyper(551,a,2575,a),flip(a)]. 2577 (((x / y) \ 1) \ 1) \ x = x * (((x \ y) \ 1) \ 1). [hyper(189,a,2103,a(flip),b,2576,a)]. 2578 ((x * y) * z) * (((((x * y) * z) \ (y * z)) \ 1) \ 1) = ((R(x,y,z) \ 1) \ 1) \ ((x * y) * z). [para(33(a,2),2577(a,1,1,1,1)),flip(a)]. 2579 L(T(x,y) / x,x,y) = K(1 / (1 / x),y). [para(792(a,1),2309(a,1,1))]. 2580 K(1 / (1 / x),y) = (x * K(x,y)) / x. [hyper(189,a,676,a(flip),b,2579,a(flip))]. 2581 T(K(1 / (1 / x),y),x) = K(x,y). [para(2580(a,2),142(a,1,1))]. 2582 T(K(1 / (x \ 1),y),T(x,x \ 1)) = K(T(x,x \ 1),y). [para(174(a,1),2581(a,1,1,1,2))]. 2583 T(K(x,y),T(x,x \ 1)) = K(T(x,x \ 1),y). [para(67(a,1),2582(a,1,1,1))]. 2584 K(T(x,x \ 1),y) = T(K(x,y),x). [hyper(189,a,2061,a(flip),b,2583,a(flip))]. 2585 T(K(x,y),x) = K((x \ 1) \ 1,y). [para(114(a,1),2584(a,1,1)),flip(a)]. 2586 x * K((x \ 1) \ 1,y) = K(x,y) * x. [para(2585(a,1),113(a,1,2))]. 2587 R(1 / (1 / (1 / x)),x,y) = 1 / (1 / R(1 / x,x,y)). [hyper(1561,a,2363,a)]. 2589 T(R(1 / (1 / (1 / x)),x,y),x * y) = T(1 / (1 / (y / (x * y))),x * y). [para(2587(a,2),2027(a,1,1))]. 2591 R(1 / (1 / x),1 / x,y) = R(1 / (1 / x),x \ 1,y). [hyper(189,a,475,a(flip),b,2574,a(flip))]. 2592 R(1 / (1 / x),x \ 1,(1 / x) \ y) = ((1 / x) \ y) / y. [hyper(741,a,2591,a),flip(a)]. 2593 ((1 / x) \ y) \ (y * R(1 / (1 / x),x \ 1,(1 / x) \ y)) = K(y,((1 / x) \ y) / y). [para(2592(a,2),98(a,1,2,2))]. 2594 x / ((L(y \ 1,y,x) \ 1) \ 1) = x * T(y,y \ 1). [para(2307(a,1),634(a,1,2))]. 2595 T(K(x,y),L(x \ 1,x,y) \ 1) = K(y \ (y * T(x,x \ 1)),y). [para(2594(a,1),1380(a,2,1,2))]. 2596 (1 / (1 / x)) * (y / (y * x)) = (y / (y * x)) * x. [hyper(21,a,2531,a,b,2351,a),flip(a)]. 2597 T(1 / (1 / x),y / (y * x)) = x. [hyper(147,a,2596,a,b,xx)]. 2599 T(1 / (1 / x),(y / x) / y) = x. [para(19(a,1),2597(a,1,2,2))]. 2600 (1 / (1 / x)) \ (((y / x) / y) * x) = (y / x) / y. [para(2599(a,1),144(a,1,2,2))]. 2601 (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(1420(a,2),2600(a,1,2))]. 2602 R(x,(y \ 1) \ 1,T(y \ 1,y)) = R(x,y,y \ 1). [para(67(a,1),2356(a,2,2))]. 2603 R(x,T(y,y \ 1),T(y \ 1,y)) = R(x,y,y \ 1). [para(114(a,2),2602(a,1,2))]. 2604 (1 / x) \ (x * (T(x,y) \ (1 / x))) = (x \ T(x,y)) \ 1. [para(2414(a,1),2432(a,1,2))]. 2605 L(x,K(y \ 1,y),T(y,z)) = x. [hyper(346,a,2468,a)]. 2606 R(x,y,1 / y) / (1 / y) = x * (y * K(y \ 1,y)). [para(69(a,1),2278(a,1,1,2))]. 2607 R(x,y,y \ 1) / (1 / y) = x * (y * K(y \ 1,y)). [para(2270(a,1),2606(a,1,1))]. 2608 R(x,y,y \ 1) / (1 / y) = x * (1 / (1 / y)). [para(474(a,1),2607(a,2,2))]. 2609 (x * (1 / (1 / y))) * K(y,y \ 1) = x * y. [para(2608(a,1),2339(a,1,1))]. 2610 K(x,x \ 1) * (y * (1 / (1 / x))) = y * x. [hyper(2523,a,2609,a)]. 2611 (x * y) * K(y \ 1,y) = x * (1 / (1 / y)). [hyper(2331,a,2609,a)]. 2612 (x / (1 / (1 / y))) * y = x * K(y,y \ 1). [hyper(252,a,2609,a),flip(a)]. 2613 (x * y) \ (x * (1 / (1 / y))) = K(y \ 1,y). [para(2609(a,1),2326(a,1,1))]. 2614 R(T(x / (1 / (1 / y)),y * z),y,z) = (y * z) \ ((x * K(y,y \ 1)) * z). [para(2612(a,1),507(a,1,2,1)),flip(a)]. 2615 L(K(x \ 1,x),x,y) = K(x \ 1,x). [hyper(647,a,2613,a)]. 2616 K((x * y) \ x,x \ (x * y)) = K(y \ 1,y). [hyper(189,a,2214,a(flip),b,2615,a(flip)),flip(a)]. 2618 K((x * y) \ x,y) = K(y \ 1,y). [para(16(a,1),2616(a,1,2))]. 2619 K((x \ y) \ 1,x \ y) = K(y \ x,x \ y). [para(17(a,1),2618(a,1,1,1)),flip(a)]. 2620 K(T(x,y) \ 1,T(x,y)) = K((x * y) \ y,T(x,y)). [para(113(a,1),2618(a,1,1,1)),flip(a)]. 2621 x * K(y \ x,x \ y) = y * (((y \ x) \ 1) \ 1). [para(2619(a,1),1998(a,1,2))]. 2622 ((x \ y) * z) * K(y \ x,x \ y) = (1 / (1 / (x \ y))) * z. [para(2619(a,1),2488(a,1,2))]. 2623 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(1463(a,1),2620(a,2,1,1))]. 2624 K(x \ y,y \ x) * y = x * (((x \ y) \ 1) \ 1). [hyper(189,a,2522,a,b,2621,a(flip)),flip(a)]. 2625 ((x \ (x / y)) * z) * K(y,y \ 1) = (1 / (1 / (x \ (x / y)))) * z. [para(2211(a,1),2622(a,1,2))]. 2626 T(x,y) * ((1 / x) * (T(x,y) \ x)) = T(x * ((1 / x) * 1),y). [para(2388(a,1),2392(a,1,2))]. 2627 T(x,y) * ((1 / x) * (T(x,y) \ x)) = T(x * (1 / x),y). [para(15(a,1),2626(a,2,1,2))]. 2628 T(x,y) * ((1 / x) * (T(x,y) \ x)) = T(K(x,x \ 1),y). [para(1535(a,2),2627(a,2,1))]. 2629 T(x,y) \ K(x,x \ 1) = (1 / x) * (T(x,y) \ x). [hyper(75,a,2514,a(flip),b,2628,a)]. 2630 (x \ 1) \ ((x \ y) / y) != z | x * ((x \ y) / y) = z. [para(2436(a,1),2537(a,1))]. 2631 T(K(x,y),L(x \ 1,x,y) \ 1) = K(T(x,x \ 1),y). [hyper(189,a,1215,a(flip),b,2595,a)]. 2633 T(K(x,y),L(x \ 1,x,y) \ 1) = K((x \ 1) \ 1,y). [para(114(a,1),2631(a,2,1))]. 2634 T(K(x,y),((y * x) \ y) \ 1) = K((x \ 1) \ 1,y). [para(140(a,1),2633(a,1,2,1))]. 2635 (((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)) = K((y \ 1) \ 1,x). [hyper(2080,a,2634,a)]. 2636 (x \ 1) * (x * T(x \ 1,y)) = T(x \ 1,y). [hyper(147,a,2496,a(flip),b,2285,a),flip(a)]. 2638 (x \ 1) \ T(x \ 1,y) = x * T(x \ 1,y). [hyper(80,a,2636,a)]. 2641 K(x \ (x / y),x) = (y \ 1) \ T(y \ 1,x). [hyper(189,a,886,a,b,2638,a),flip(a)]. 2642 T(x,T(x \ 1,y)) = (x \ 1) \ 1. [hyper(147,a,2638,a(flip),b,773,a)]. 2643 L(x * T(x \ 1,y),x \ 1,y) = K(x \ 1,y). [para(2638(a,1),584(a,2,1)),flip(a)]. 2645 T(x,T(x \ 1,y)) = T(x,x \ 1). [hyper(189,a,114,a,b,2642,a)]. 2647 K(1 / x,y) = K(x \ 1,y). [hyper(189,a,2308,a(flip),b,2643,a(flip)),flip(a)]. 2648 K((x \ 1) \ 1,y) = K(x,y). [para(67(a,1),2647(a,1,1)),flip(a)]. 2649 T(K(x,y),x) = K(x,y). [hyper(189,a,2585,a,b,2648,a(flip)),flip(a)]. 2650 K(x,y) * x = x * K(x,y). [para(2648(a,1),2586(a,1,2)),flip(a)]. 2651 T(x,K(x,y)) = x. [hyper(38,a,2649,a)]. 2652 (x * K(x,y)) / x = K(x,y). [para(2649(a,1),143(a,1,1,2))]. 2653 R(K(x,y),z,u) * x = x * R(K(x,y),z,u). [para(2649(a,1),160(a,1,2,1)),flip(a)]. 2654 K(x,y) * x != z | x * K(x,y) = z. [para(2651(a,1),205(a,1,2))]. 2655 T(x,y) * K(x,z) = K(x,z) * T(x,y). [para(2651(a,1),158(a,1,2,1)),flip(a)]. 2656 T((x * y) / x,K(y,z)) = (x * y) / x. [para(2651(a,1),330(a,1,1,2)),flip(a)]. 2657 K(x,y) * R(x,z,u) != w | R(x,z,u) * K(x,y) = w. [para(2651(a,1),304(a,1,2,1))]. 2658 T(K(x,y),x) != z | K(x,y) = z. [para(2652(a,1),242(a,1,1)),flip(b)]. 2659 K((x \ 1) \ 1,y) != z | K(x,y) = z. [para(2585(a,1),2658(a,1))]. 2662 T(K(x,y),T(x,z)) = K(x,y). [hyper(148,a,2655,a)]. 2664 T(x,y) * K(x,z) != u | K(x,z) * T(x,y) = u. [para(2662(a,1),205(a,1,2))]. 2665 T(K(x,y),(z * x) / z) = K(x,y). [hyper(38,a,2656,a)]. 2666 T(x,R(K(x,y),z,u)) = x. [hyper(148,a,2653,a)]. 2667 K(x,R(K(x,y),z,u)) = 1. [hyper(39,a,2666,a)]. 2668 ((x \ (x / (y \ 1))) * z) * K(y \ 1,y) = (1 / (1 / (x \ (x / (y \ 1))))) * z. [para(1538(a,1),2625(a,1,2))]. 2669 (((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)) = K(y,x). [hyper(189,a,2648,a(flip),b,2635,a)]. 2670 T(x * y,K(y,y \ 1)) = y * T(x,(y \ 1) \ 1). [hyper(2259,a,2397,a)]. 2671 T(x,(y \ 1) \ 1) = T(x,y). [hyper(2519,a,2670,a),flip(a)]. 2672 T(x,1 / y) = T(x,y \ 1). [para(69(a,1),2671(a,1,2,1)),flip(a)]. 2673 T(x,T(y,y \ 1)) = T(x,y). [para(114(a,2),2671(a,1,2))]. 2674 T(x,1 / (1 / y)) = T(x,y). [para(134(a,1),2671(a,1,2)),flip(a)]. 2675 T(x,T(y \ 1,y)) = T(x,y \ 1). [para(627(a,2),2671(a,1,2))]. 2676 T(x,T((y \ 1) \ 1,z)) = T(x,T(y,z)). [para(2095(a,1),2671(a,1,2))]. 2677 T(x,T(1 / y,z)) = T(x,T(y \ 1,z)). [para(2096(a,1),2671(a,1,2)),flip(a)]. 2678 T(x,R(y \ 1,y,z)) = T(x,z / (y * z)). [para(2561(a,2),2671(a,1,2))]. 2680 T(((1 / x) * y) * x,x \ 1) = R(y,1 / x,x). [hyper(189,a,739,a(flip),b,2672,a(flip))]. 2681 (1 / x) * T(y,x \ 1) = y * (1 / x). [para(2672(a,1),113(a,1,2))]. 2682 ((1 / x) \ (y / x)) * (1 / x) = T(y,x \ 1) / x. [para(2672(a,1),804(a,2,1))]. 2685 T(x,x \ 1) * T(y,x) = y * T(x,x \ 1). [para(2673(a,1),113(a,1,2))]. 2686 ((x \ 1) \ 1) * T(y,x) = y * T(x,x \ 1). [para(2673(a,1),524(a,1,2))]. 2687 T(x,T(1 / x,y)) = T(x,x \ 1). [hyper(189,a,2645,a(flip),b,2677,a)]. 2688 T(x,x \ 1) * T(x \ 1,y) = x * T(1 / x,y). [para(2687(a,1),1310(a,1,1))]. 2689 R(T(x,x \ 1),y,z) \ R(x,y,z) = (R(x,y,z) \ (R(x,y,z) / x)) * x. [para(2687(a,1),2017(a,1,1,1))]. 2690 (1 / x) * T(y,x \ 1) = y * (1 \ (1 / x)). [para(58(a,2),2681(a,2,2))]. 2691 (1 / (1 / x)) * (x \ y) = (y / x) * (1 / (1 / x)). [para(497(a,1),2681(a,1,2))]. 2692 T(x,R(1 / y,y,z)) = T(x,R(y \ 1,y,z)). [para(141(a,2),2678(a,2,2)),flip(a)]. 2694 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = R((x \ 1) * T(x,x \ 1),y,z). [para(2685(a,1),2141(a,2,1))]. 2695 (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(2686(a,2),447(a,2,1))]. 2696 T(x,R(y \ 1,(y \ 1) \ 1,z)) = T(x,R(1 / y,y,z)). [para(2573(a,2),2692(a,2,2)),flip(a)]. 2697 T((K(x,x \ 1) * y) * x,x \ 1) = R((x \ 1) \ y,1 / x,x). [para(2427(a,1),2680(a,1,1,1))]. 2698 T(x,(y \ x) \ 1) / (y \ x) = ((1 / (y \ x)) \ y) * (1 / (y \ x)). [para(67(a,1),2682(a,1,1,2)),flip(a)]. 2699 ((x \ 1) \ 1) * T(x \ 1,y) = x * T(1 / x,y). [hyper(551,a,2688,a)]. 2700 (x * T(1 / x,y)) \ (((x \ 1) \ 1) * (T(x \ 1,y) * z)) = L(z,T(x \ 1,y),(x \ 1) \ 1). [para(2688(a,1),528(a,1,1))]. 2702 T(x,R(y \ 1,(y \ 1) \ 1,x)) = (y * ((x * (y \ 1)) / x)) * x. [hyper(189,a,1304,a,b,2696,a)]. 2703 T(x * T(y,y \ 1),y \ 1) = R((y \ 1) \ x,1 / y,y). [para(2518(a,1),2697(a,1,1))]. 2704 T(x,R((y \ x) \ 1,((y \ x) \ 1) \ 1,x)) = K(x,y / x) * x. [para(1321(a,1),2702(a,2,1))]. 2705 T(x,R((y \ x) \ 1,((y \ x) \ 1) \ 1,x)) != z | x * K(x,y / x) = z. [para(2704(a,2),2654(a,1))]. 2706 ((1 / (1 / x)) \ y) / y = 1 / (1 / ((x \ y) / y)). [hyper(2553,a,2105,a(flip))]. 2707 1 / (1 / (((x \ 1) \ y) / y)) = ((1 / x) \ y) / y. [para(67(a,1),2706(a,1,1,1,2)),flip(a)]. 2708 L(K(x,x \ 1) * y,z,u) * K(x \ 1,x) = (x \ L(x * (y / x),z,u)) * x. [para(2512(a,1),2337(a,1,1,1))]. 2709 ((x / y) * (y / x)) * ((x / y) \ 1) = y / x. [hyper(189,a,1734,a(flip),b,2350,a)]. 2710 ((x \ y) / y) * (y / (x \ y)) = x / (((x \ y) / y) \ 1). [hyper(76,a,67,a(flip),b,2709,a),flip(a)]. 2711 x / (((x \ y) / y) \ 1) = ((x \ y) / y) * x. [para(67(a,1),2710(a,1,2)),flip(a)]. 2712 ((x \ y) / y) * R(((x \ y) / y) \ (((x \ y) / y) * x),z,u) = R(x,z,u) / (((x \ y) / y) \ 1). [para(2711(a,1),1222(a,1,2,1,2))]. 2713 R(T(x,x \ 1),y,z) \ R(x,y,z) = T(1 / x,R(x,y,z)) * x. [para(877(a,1),2689(a,2,1))]. 2715 R(T(x,x \ 1),y,z) \ R(x,y,z) != u | x * T(x \ 1,R(x,y,z)) = u. [para(2713(a,2),544(a,1))]. 2716 T(1 / (1 / (x / (y * x))),y * x) = R(T(1 / (1 / (1 / y)),y * x),y,x). [hyper(189,a,45,a,b,2589,a(flip))]. 2717 T(1 / (1 / (x / (y * x))),y * x) = (y * x) \ ((1 * K(y,y \ 1)) * x). [hyper(189,a,2614,a(flip),b,2716,a)]. 2718 T(1 / (1 / (x / (y * x))),y * x) = (y * x) \ (K(y,y \ 1) * x). [para(14(a,1),2717(a,2,2,1))]. 2719 (x * y) \ (K(x,x \ 1) * y) = 1 / (1 / ((x * y) \ y)). [hyper(2118,a,2718,a),flip(a)]. 2720 (x * y) * (1 / (1 / ((x * y) \ y))) = K(x,x \ 1) * y. [para(2719(a,1),17(a,1,2))]. 2721 K(x \ (y * x),(y * x) \ x) = K(y,y \ 1). [hyper(2551,a,2720,a)]. 2722 K(T(x,y),(x * y) \ y) = K(x,x \ 1). [para(35(a,2),2721(a,1,1))]. 2723 K(T(x,y),T(x,y) \ 1) = K(x,x \ 1). [hyper(189,a,1993,a,b,2722,a(flip)),flip(a)]. 2725 T(x,y) \ K(x,x \ 1) = 1 / T(x,y). [hyper(75,a,2723,a(flip),b,1535,a(flip))]. 2726 (T(x,y) \ 1) * K(x,x \ 1) = 1 / T(x,y). [para(2723(a,1),1541(a,1,2))]. 2727 x * (T(x,y) \ (1 / x)) = 1 / T(x,y). [hyper(1542,a,2725,a)]. 2728 (1 / x) \ (1 / T(x,y)) = T(x,y) \ x. [hyper(75,a,2725,a(flip),b,2629,a(flip))]. 2729 (1 / x) \ (1 / T(x,y)) = (x \ T(x,y)) \ 1. [para(2727(a,1),2604(a,1,2))]. 2730 K(x \ 1,x) * (1 / T(x,y)) = T(x,y) \ 1. [hyper(2511,a,2726,a)]. 2731 (1 / T(x,y)) * K(x \ 1,x) = T(x,y) \ 1. [hyper(2331,a,2726,a)]. 2732 (x \ T(x,y)) \ 1 = T(x,y) \ x. [hyper(189,a,2728,a(flip),b,2729,a(flip))]. 2733 (x \ 1) \ (T(x,y) \ 1) = T(x,y) \ x. [hyper(2066,a,2732,a)]. 2734 (R(x,y,z) \ R(T(x,u),y,z)) \ 1 = T(R(x,y,z),u) \ R(x,y,z). [para(45(a,2),2732(a,1,1,2))]. 2735 T(x / y,y) \ (x / y) = ((x / y) \ (y \ x)) \ 1. [para(115(a,1),2732(a,1,1,2)),flip(a)]. 2736 T(x,R(y,x,(y * x) \ x)) \ x = (x \ (x * K(x,y))) \ 1. [para(1407(a,1),2732(a,1,1,2)),flip(a)]. 2737 (x * T(x \ 1,y)) \ 1 = T(x \ 1,y) \ (x \ 1). [para(2638(a,1),2732(a,1,1))]. 2738 (x \ 1) * (T(x,y) \ x) = T(x,y) \ 1. [para(2733(a,1),17(a,1,2))]. 2739 K(T(x,y) \ 1,T(x,y)) = K(x \ 1,x). [hyper(1828,a,2730,a)]. 2740 x \ (x / T(x,y)) = T(x,y) \ 1. [hyper(189,a,2463,a(flip),b,2730,a(flip)),flip(a)]. 2741 x * (T(x,y) \ 1) = x / T(x,y). [para(2740(a,1),17(a,1,2))]. 2742 x / T(x,y) = T(x,y) \ x. [hyper(989,a,2741,a),flip(a)]. 2743 (1 / T(x,y)) * x = T(x,y) \ x. [hyper(1501,a,2742,a)]. 2744 K(x \ (x / ((y \ x) / T(x,y))),x) = T(x,y) \ x. [hyper(189,a,1632,a,b,2742,a(flip)),flip(a)]. 2745 (T(x,y) \ x) * T(x,y) = x. [para(2742(a,1),19(a,1,1))]. 2746 (T(x,y) \ x) \ x = T(x,y). [para(2742(a,1),69(a,1,1))]. 2748 (T(x,y) \ x) * x = x * (T(x,y) \ x). [para(2742(a,1),1507(a,1,1))]. 2749 L(x,T(x,y) \ x,x) = x. [hyper(189,a,1874,a,b,2745,a(flip)),flip(a)]. 2751 (x * y) * T(K(y,x),x) = y * x. [para(2749(a,1),1873(a,1,2)),flip(a)]. 2752 T(K(x,y),y) = K(x,y). [hyper(215,a,2751,a),flip(a)]. 2753 T(x,K(y,x)) = x. [hyper(38,a,2752,a)]. 2754 K(x,y) * y = y * K(x,y). [para(2752(a,1),113(a,1,2)),flip(a)]. 2755 (x * K(y,x)) / x = K(y,x). [para(2752(a,1),143(a,1,1,2))]. 2757 (x * K(y,x)) / x != z | K(y,x) = z. [para(2752(a,1),250(a,1,1,2)),flip(b)]. 2758 L(K(x,y),z,u) * y = y * L(K(x,y),z,u). [para(2752(a,1),159(a,1,2,1)),flip(a)]. 2759 T(x,y) * K(z,x) = K(z,x) * T(x,y). [para(2753(a,1),158(a,1,2,1)),flip(a)]. 2760 K(x,y) * T(y,z) != u | T(y,z) * K(x,y) = u. [para(2753(a,1),302(a,1,2,1))]. 2761 T(x,y * T(y \ 1,x)) = x. [para(886(a,1),2753(a,1,2))]. 2762 T(x,y \ T(y,x)) = x. [para(890(a,1),2753(a,1,2))]. 2763 T(x,x \ ((y * x) / y)) = x. [para(1472(a,1),2753(a,1,2))]. 2764 x * ((K(x,y) \ y) * K(x,y)) = (y * x) * K(x,y). [para(2753(a,1),1970(a,1,1,1)),flip(a)]. 2765 (x * K(y,x)) * (x \ T(x,z)) = K(y,x) * T(x,z). [para(2753(a,1),2069(a,1,2,1)),flip(a)]. 2766 T(x \ T(x,y),y) = x \ T(x,y). [hyper(38,a,2762,a)]. 2767 (x \ T(x,y)) * y = y * (x \ T(x,y)). [para(2762(a,1),113(a,1,2))]. 2768 (x \ T(x,y)) * T(y,z) != u | T(y,z) * (x \ T(x,y)) = u. [para(2762(a,1),302(a,1,2,1))]. 2769 R(x,K(y,z),z) * (z * K(y,z)) = (x * K(y,z)) * z. [para(2754(a,1),110(a,1,2))]. 2770 (x * y) \ ((x * K(z,x)) * y) = R(T(K(z,x),x * y),x,y). [para(2754(a,1),507(a,1,2,1))]. 2771 L((T(x,y) * (x \ y)) / y,y,x) = K(T(x,y),y). [hyper(189,a,986,a,b,2755,a(flip)),flip(a)]. 2772 T(x * T(x \ 1,y),y) = x * T(x \ 1,y). [hyper(38,a,2761,a)]. 2773 ((x * y) / x) / y = y \ ((x * y) / x). [para(2763(a,1),174(a,1,2))]. 2774 K((x * y) \ y,T(x,y)) = K(x \ 1,x). [hyper(189,a,2620,a(flip),b,2739,a(flip)),flip(a)]. 2775 K(x \ 1,x) / T(x,y) = T(x,y) \ 1. [hyper(76,a,2739,a(flip),b,165,a(flip))]. 2776 T(x,y) * K(x \ 1,x) = T(1 / (1 / x),y). [para(2739(a,1),2099(a,1,2))]. 2777 L(x,K(y \ 1,y),T(T(y,z),u)) = x. [para(2739(a,1),2605(a,1,2))]. 2778 (x * T(y,z)) / T(T(y,y \ 1),z) = x * K(y \ 1,y). [para(2739(a,1),2318(a,2,2))]. 2779 R(T(x,y),x \ 1,x) * (((x \ 1) * x) * z) = ((x \ T(x,y)) * x) * z. [para(2777(a,1),2139(a,1,2)),flip(a)]. 2780 (x * (T(x,y) \ x)) \ ((T(x,y) \ x) * z) = L(x \ z,x,T(x,y) \ x). [para(2748(a,1),104(a,2,1)),flip(a)]. 2781 T(K(x,y),T(y,z)) = K(x,y). [hyper(148,a,2759,a)]. 2782 K(K(x,y),T(y,z)) = 1. [hyper(39,a,2781,a)]. 2783 K(x \ T(x,y),T(y,z)) = 1. [para(890(a,1),2782(a,1,1))]. 2784 T(x \ T(x,y),T(y,z)) = x \ T(x,y). [hyper(40,a,2783,a)]. 2785 x * (T(x,y) \ (y * (x \ T(x,y)))) = L(y,x \ T(x,y),x). [para(2767(a,1),1010(a,1,2,2))]. 2786 (1 / x) * ((y * x) / y) = x \ ((y * x) / y). [hyper(189,a,1110,a,b,2773,a(flip)),flip(a)]. 2787 x * (((y * x) / y) / x) = (y * x) / y. [para(2773(a,2),17(a,1,2))]. 2788 R(x,y,z) \ (((u / x) * R(x,y,z)) / (u / x)) = R(u / (u / x),y,z) / R(x,y,z). [para(678(a,1),2773(a,1,1)),flip(a)]. 2790 K((x * y) \ y,y \ (x * y)) = K(x \ 1,x). [para(35(a,1),2774(a,1,2))]. 2792 (x \ 1) * (x * ((y * (x \ 1)) / y)) = (y * (x \ 1)) / y. [para(1111(a,1),2787(a,1,2))]. 2793 x * ((1 / T(x,y)) * K(x \ 1,x)) = T(x,y) \ x. [para(2731(a,2),987(a,1,2))]. 2794 T(x,L(K(y,x),z,u)) = x. [hyper(148,a,2758,a)]. 2795 x * ((y \ (x \ y)) * y) = y * (x * T(x \ 1,y)). [para(2772(a,1),1158(a,1,2)),flip(a)]. 2796 x * (T(x,y) / x) = T(x,y). [hyper(21,a,2504,a,b,2776,a),flip(a)]. 2798 T(x,y) / x = x \ T(x,y). [hyper(80,a,2796,a),flip(a)]. 2799 (x \ T(x,y)) * x = T(x,y). [para(2796(a,1),70(a,1,1,2))]. 2800 x \ T(x,R(y,y \ 1,x)) = y \ ((x * y) / x). [hyper(1300,a,2798,a),flip(a)]. 2801 (1 / x) * T((1 / x) \ 1,y) = x \ T(x,y). [hyper(1226,a,2798,a)]. 2802 (1 / x) * T(x,y) = x \ T(x,y). [hyper(189,a,793,a,b,2798,a(flip)),flip(a)]. 2803 (x \ T(x,y)) * x != z | T(x,y) = z. [para(2798(a,1),200(a,1,1)),flip(b)]. 2804 R(x \ T(x,y),x,z) = (T(x,y) * z) / (x * z). [para(2798(a,1),111(a,1,1))]. 2805 R((x / y) \ T(x / y,z),x / y,y) = (T(x / y,z) * y) / x. [para(2798(a,1),391(a,1,1))]. 2806 R((1 / x) * ((y * x) / y),x,x \ y) = (1 / x) * ((y \ T(y,x)) * x). [para(2798(a,1),1227(a,2,2,1))]. 2807 (x \ T(x,y)) / (y \ 1) = y * (T(x,y) / x). [para(2798(a,1),1865(a,1,1))]. 2808 (x * (y \ T(y,x))) \ (x * z) = x * ((x * (T(y,x) / y)) \ z). [para(2798(a,1),1965(a,1,1,2))]. 2809 T(x,x \ T(x,y)) = x. [hyper(227,a,2799,a)]. 2810 T(x,R(1 / y,y,x)) = T(x,x / (x * y)). [hyper(189,a,1403,a,b,2799,a(flip)),flip(a)]. 2811 T(x,y) \ ((x \ T(x,y)) * (x * z)) = L(z,x,x \ T(x,y)). [para(2799(a,1),31(a,2,1)),flip(a)]. 2812 (x \ ((x \ y) \ y)) * x = T(x,x \ y). [para(114(a,1),2799(a,1,1,2))]. 2813 T(x,y) * L(z,x,x \ T(x,y)) = (x \ T(x,y)) * (x * z). [para(2799(a,1),102(a,1,1))]. 2814 (T(x,y) * z) / (x * z) != u | R(x \ T(x,y),x,z) = u. [para(2799(a,1),385(a,1,1,1))]. 2815 K(x,x \ T(x,y)) = 1. [hyper(39,a,2809,a)]. 2816 T(x,y) * (x \ T(x,z)) = (x \ T(x,z)) * T(x,y). [para(2809(a,1),158(a,1,2,1)),flip(a)]. 2817 T(x,K(y \ (y / (x \ 1)),y)) = x. [para(890(a,2),2809(a,1,2))]. 2818 K(x,T(x,y) / x) = 1. [para(2798(a,2),2815(a,1,2))]. 2819 T(1 / x,T(x,y)) = x \ 1. [hyper(75,a,2818,a(flip),b,1064,a),flip(a)]. 2820 L(x \ 1,x,y \ ((x * y) / x)) = x \ 1. [hyper(189,a,1302,a(flip),b,2819,a(flip)),flip(a)]. 2821 T(x \ 1,T(x,y)) = T(x \ 1,x). [para(2819(a,1),161(a,1,1)),flip(a)]. 2822 T(x / (y * x),T(y,z)) = R(y \ 1,y,x). [para(2819(a,1),288(a,2,1))]. 2823 (((x * y) / x) \ y) \ y = (x * y) / x. [hyper(916,a,2817,a)]. 2824 K(T(x,y) \ (T(x,y) / T(x,z)),T(x,y)) = T(x * T(x \ 1,x),z). [para(2821(a,1),1374(a,1,1,2)),flip(a)]. 2826 (((x * y) / x) \ y) * ((x * y) / x) = y. [para(2823(a,1),17(a,1,2))]. 2827 (((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1)) \ (x \ 1) = (R(x,y,z) * (x \ 1)) / R(x,y,z). [para(867(a,1),2823(a,1,1,1,1))]. 2828 (((L(x,y,y \ 1) * y) / y) \ ((1 / y) * (x * y))) * ((y * ((1 / y) * (x * y))) / y) = (1 / y) * (x * y). [para(2382(a,1),2826(a,1,1,1,1))]. 2829 T(x,R(y \ 1,y,x)) = T(x,x / (x * y)). [hyper(189,a,2692,a(flip),b,2810,a(flip)),flip(a)]. 2832 L(x \ 1,x,T(y,x) \ y) = x \ 1. [para(143(a,1),2820(a,1,3,2))]. 2833 (x * y) * ((((x * y) \ y) \ 1) \ 1) = K(x \ 1,x) * y. [para(2790(a,1),2624(a,1,1)),flip(a)]. 2834 (x \ T(x,y)) / (y \ 1) = y * (x \ T(x,y)). [para(2798(a,1),2807(a,2,2))]. 2835 (x * (y \ T(y,x))) * (x \ 1) = y \ T(y,x). [para(2834(a,1),19(a,1,1))]. 2836 R(x,y,z) \ T(R(x,y,z),R(x \ 1,(x \ 1) \ 1,R(x,y,z))) = (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)). [para(867(a,1),2800(a,2,2,1))]. 2837 T(x,y \ ((x * y) / x)) = x. [para(2800(a,1),2809(a,1,2))]. 2838 T(x,T(y,x) \ y) = x. [para(143(a,1),2837(a,1,2,2))]. 2839 T(T(x,y) \ x,y) = T(x,y) \ x. [hyper(38,a,2838,a)]. 2840 (T(x,y) \ x) * y = y * (T(x,y) \ x). [para(2838(a,1),113(a,1,2))]. 2842 K(K(x,y),T(z,y) \ z) = 1. [para(2839(a,1),1955(a,1,2))]. 2843 K(x \ T(x,y),T(z,y) \ z) = 1. [para(890(a,1),2842(a,1,1))]. 2844 1 / (x \ T(x,y)) = (x \ T(x,y)) \ 1. [hyper(75,a,2843,a(flip),b,2000,a),flip(a)]. 2845 T(x,R(T(y,x),T(y,x) \ 1,x)) = x * (T(y,x) \ y). [hyper(189,a,1299,a,b,2840,a(flip)),flip(a)]. 2846 (x * ((x * (T(y,x) \ y)) \ x)) \ (x * x) = (T(y,x) \ y) * x. [para(2840(a,1),1702(a,1,1,2,1))]. 2847 1 / (x \ T(x,y)) = T(x,y) \ x. [hyper(189,a,2732,a(flip),b,2844,a)]. 2848 x * ((T(x,y) \ x) \ 1) = T(x,y). [para(2847(a,1),132(a,1,2,1))]. 2849 T(x,R(y,y \ 1,x)) \ x = 1 / (y \ ((x * y) / x)). [para(2800(a,1),2847(a,1,2)),flip(a)]. 2850 ((x / y) \ (y \ x)) \ 1 = (y \ x) \ (x / y). [para(115(a,1),2735(a,1,1)),flip(a)]. 2851 (x \ (x * y)) \ ((x * y) / x) = (((x * y) / x) \ y) \ 1. [para(16(a,1),2850(a,1,1,2)),flip(a)]. 2852 T(L(x \ 1,x,y) \ 1,y) \ (L(x \ 1,x,y) \ 1) = K(x,y) \ 1. [para(906(a,2),2737(a,1,1)),flip(a)]. 2853 T((x \ y) \ 1,z) \ ((x \ y) \ 1) = (x \ (y * T(y \ x,z))) \ 1. [para(1071(a,1),2737(a,1,1)),flip(a)]. 2854 T(x \ 1,T(x,y) \ x) = x \ 1. [para(2744(a,1),1842(a,1,2))]. 2855 R(K(x \ (x / ((y \ x) / T(x,y))),x),x \ 1,x) = ((1 / x) * (T(x,y) \ x)) * x. [para(2744(a,1),2277(a,1,1,2)),flip(a)]. 2856 T(T(x,y) \ x,x \ 1) = T(x,y) \ x. [hyper(38,a,2854,a)]. 2857 (K(x,y) \ y) * K(x,y) = y. [hyper(20,a,95,a(flip),b,2764,a)]. 2858 x / K(y,x) = K(y,x) \ x. [hyper(88,a,2857,a)]. 2859 R(K(x,y) \ y,K(x,y),z) = (y * z) / (K(x,y) * z). [para(2857(a,1),33(a,2,1,1))]. 2862 K(x,y) * (z * T(z \ L((y \ 1) \ z,y \ 1,y * K(x,y)),u)) = (K(x,y) * T(y,u)) * z. [para(2765(a,1),2229(a,2,1))]. 2863 (x * (1 / T(x,y))) * K(x \ 1,x) = T(x,y) \ x. [hyper(2354,a,2793,a)]. 2864 (x \ T(x,y)) * T(x,z) = T(x,y) * (x \ T(x,z)). [hyper(1061,a,2816,a),flip(a)]. 2865 (x \ 1) * (x * (1 / T(x,y))) = (1 / x) * (T(x,y) \ x). [para(2863(a,1),2496(a,1,2)),flip(a)]. 2866 (T(x,y) * T(x,z)) / ((x \ T(x,y)) * T(x,z)) = x. [para(2864(a,2),976(a,1,2))]. 2867 R(x,x \ T(x,y),T(x,z)) = x. [hyper(588,a,2866,a)]. 2868 L(x,x \ T(x,y),x) = x. [para(2867(a,1),1056(a,1,1))]. 2869 (x * T(y,z)) / T((y \ 1) \ 1,z) = x * K(y \ 1,y). [para(114(a,1),2778(a,1,2,1))]. 2872 (((x * y) / x) \ y) \ 1 = y \ ((x * y) / x). [para(16(a,1),2851(a,1,1)),flip(a)]. 2873 1 / (x \ ((y * x) / y)) = ((y * x) / y) \ x. [para(2872(a,1),67(a,1,2))]. 2874 T(x,R(y,y \ 1,x)) \ x = ((x * y) / x) \ y. [hyper(189,a,2849,a,b,2873,a(flip)),flip(a)]. 2875 T(x,R(y,y \ 1,x)) \ 1 = x \ (((x * y) / x) \ y). [hyper(75,a,2874,a(flip),b,987,a),flip(a)]. 2876 T(x,R(T(y,x),T(y,x) \ 1,x)) \ x = y \ T(y,x). [para(143(a,1),2874(a,2,1))]. 2877 T(x,x \ (((x * y) / x) \ y)) = T(x,x \ 1). [para(2875(a,1),2528(a,1,2))]. 2878 T(x,x \ (y \ T(y,x))) = T(x,x \ 1). [para(143(a,1),2877(a,1,2,2,1))]. 2879 T(x,x \ ((((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)))) = T(x,x \ 1). [para(900(a,1),2878(a,1,2,2,2))]. 2880 1 / T(x,R(T(y,x),T(y,x) \ 1,x)) = (y \ T(y,x)) / x. [hyper(76,a,2876,a(flip),b,2743,a),flip(a)]. 2881 (x * (T(y,x) \ y)) \ x = y \ T(y,x). [para(2845(a,1),2876(a,1,1))]. 2882 x / (y \ T(y,x)) = x * (T(y,x) \ y). [para(2881(a,1),67(a,1,2))]. 2883 x / ((((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x))) = x * (T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)). [para(900(a,1),2882(a,1,2,2))]. 2884 L((1 / T(x,y)) * x,x \ 1,x) = ((1 / x) * (T(x,y) \ x)) * x. [para(2865(a,1),1907(a,1,1)),flip(a)]. 2885 (x * K(y \ 1,y)) * T((y \ 1) \ 1,z) = x * T(y,z). [para(2869(a,1),19(a,1,1))]. 2886 T(x,R(y,x,(y * x) \ x)) \ x = K(x,y) \ 1. [para(16(a,1),2736(a,2,1))]. 2888 L(x * y,x \ T(x,z),x) = x * L(y,x,x \ T(x,z)). [para(2811(a,1),1010(a,1,2)),flip(a)]. 2889 x * L(x \ y,x,x \ T(x,z)) = L(y,x \ T(x,z),x). [para(17(a,1),2888(a,1,1)),flip(a)]. 2890 T(x * L(x \ ((y * z) / y),x,x \ T(x,y)),y) = (x \ T(x,y)) * (x * (T(x,y) \ z)). [hyper(189,a,1921,a,b,2813,a(flip)),flip(a)]. 2891 1 / (x * (T(y,x) \ y)) = (y \ T(y,x)) / x. [para(2845(a,1),2880(a,1,2))]. 2892 1 / (x * (T(y \ 1,x) \ (y \ 1))) = (y * T(y \ 1,x)) / x. [para(2638(a,1),2891(a,2,1))]. 2893 (x * (y \ T(y,x))) \ (x * z) = x * ((x * (y \ T(y,x))) \ z). [para(2798(a,1),2808(a,2,2,1,2))]. 2894 (x * ((x * (T(y,x) \ y)) \ x)) \ (x * x) = x * (T(y,x) \ y). [hyper(189,a,2840,a(flip),b,2846,a)]. 2896 (x * (y \ T(y,x))) \ (x * x) = x * (T(y,x) \ y). [para(2881(a,1),2894(a,1,1,2))]. 2897 (x * (y \ T(y,x))) \ x = T(y,x) \ y. [hyper(20,a,2893,a(flip),b,2896,a(flip)),flip(a)]. 2898 R((x / y) \ T(x / y,z),x / y,y) = (y * T(y \ x,z)) / x. [para(323(a,1),2805(a,2,1))]. 2899 ((1 / x) * (T(x,y) \ x)) * x = L(T(x,y) \ x,x \ 1,x). [para(2743(a,1),2884(a,1,1)),flip(a)]. 2900 (R(x,y,z) \ R(T(x,u),y,z)) \ 1 = R(T(x,u),y,z) \ R(x,y,z). [para(45(a,2),2734(a,2,1))]. 2901 K(T(1 / T(x,y),T(x,z)),T(x,z)) = T(x * T(x \ 1,x),y). [para(1022(a,1),2824(a,1,1))]. 2902 K(T(1 / T(x,y),T(x,z)),T(x,z)) = T((x \ 1) * x,y). [para(113(a,1),2901(a,2,1))]. 2903 K(T(1 / T(x,y),T(x,z)),T(x,z)) = K(x \ 1,x). [hyper(189,a,2476,a(flip),b,2902,a)]. 2905 T(1 / T(x,y),T(x,z)) = K(x \ 1,x) / T(x,y). [para(2903(a,1),1096(a,1,1)),flip(a)]. 2906 T(1 / T(x,y),T(x,z)) = T(x,y) \ 1. [hyper(189,a,2775,a(flip),b,2905,a)]. 2909 K(T(x,y) \ 1,T(x,z)) = K(x \ 1,x). [para(2906(a,1),2903(a,1,1))]. 2911 K(x \ 1,T(x,y)) = K(x \ 1,x). [para(112(a,1),2909(a,1,1,1))]. 2916 R(x \ T(x,y),K(x \ 1,x),z) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,T(x,y)) * z. [para(2911(a,1),816(a,1,1,2))]. 2917 L(x \ 1,x,K(y,x) \ 1) = x \ 1. [para(2852(a,1),2832(a,1,3))]. 2918 T(x,K(y,x) \ 1) = x. [para(2852(a,1),2838(a,1,2))]. 2919 (K(x,y) \ 1) * y = y * (K(x,y) \ 1). [para(2918(a,1),113(a,1,2))]. 2920 (x * (K(y,x) \ 1)) \ (K(y,x) \ 1) = L(x \ 1,x,K(y,x) \ 1). [para(2919(a,1),140(a,2,1)),flip(a)]. 2921 (x * (K(y,x) \ 1)) \ (K(y,x) \ 1) = x \ 1. [hyper(189,a,2917,a(flip),b,2920,a)]. 2923 R(T(x,x \ 1),y,z) \ R(x,y,z) = a(R(x,y,z),1 / x,x) \ 1. [para(742(a,1),2900(a,1,1)),flip(a)]. 2924 T(T(x,x \ 1),y) * (((x \ 1) * x) * z) = ((x \ T(x,y)) * x) * z. [para(1138(a,1),2779(a,1,1))]. 2925 T(T(x,x \ 1),y) * (K(x \ 1,x) * z) = ((x \ T(x,y)) * x) * z. [para(165(a,2),2924(a,1,2,1))]. 2926 R((1 / x) * ((y * x) / y),x,x \ y) = (1 / x) * (x * (y \ T(y,x))). [para(2767(a,1),2806(a,2,2))]. 2927 R((1 / x) * ((y * x) / y),x,x \ y) = L(y \ T(y,x),x,1 / x). [hyper(189,a,169,a(flip),b,2926,a)]. 2928 R(x \ ((y * x) / y),x,x \ y) = L(y \ T(y,x),x,1 / x). [para(2786(a,1),2927(a,1,1))]. 2929 T(T(x,y) / (y * (y \ x)),y) = L(x \ T(x,y),y,1 / y). [hyper(189,a,1034,a(flip),b,2928,a(flip)),flip(a)]. 2930 L(x \ T(x,y),y,1 / y) = T(T(x,y) / x,y). [para(17(a,1),2929(a,1,1,2)),flip(a)]. 2931 L(x \ T(x,y),y,1 / y) = T(x \ T(x,y),y). [para(2798(a,1),2930(a,2,1))]. 2932 L(x \ T(x,y),y,1 / y) = x \ T(x,y). [hyper(189,a,2766,a(flip),b,2931,a)]. 2933 (x \ T(x,y)) / (y * (x \ T(x,y))) = 1 / y. [hyper(76,a,2932,a(flip),b,169,a)]. 2934 R(1 / x,x,y \ T(y,x)) = 1 / x. [hyper(314,a,2933,a)]. 2935 R(1 / x,x,y * T(y \ 1,x)) = 1 / x. [para(765(a,1),2934(a,1,3))]. 2936 R(1 / x,x,K(y,x)) = 1 / x. [para(903(a,2),2935(a,1,3))]. 2937 K(x,y) / (y * K(x,y)) = 1 / y. [hyper(610,a,2936,a)]. 2938 (1 / x) \ K(y,x) = x * K(y,x). [para(2936(a,1),290(a,1,1))]. 2939 (x \ 1) * K(y,x \ 1) = x \ K(y,x \ 1). [para(67(a,1),2938(a,1,1)),flip(a)]. 2940 T(x,x \ K(y,x)) = T(x,x \ 1). [para(2669(a,1),2879(a,1,2,2))]. 2941 K(x,y) / T(y,y \ 1) = y \ K(x,y). [para(2940(a,1),174(a,1,2))]. 2942 (x \ K(y,x)) * K(x,x \ 1) = K(y,x) / x. [para(2941(a,1),2262(a,1,1))]. 2943 K(x,y) * K(y,y \ 1) = y * (K(x,y) / y). [para(2942(a,1),2035(a,1,2)),flip(a)]. 2944 (x \ 1) * (x * (K(y,x) / x)) = (1 / x) * K(y,x). [para(2943(a,1),2510(a,1,2))]. 2945 L(K(x,y),y \ 1,y) / y = (1 / y) * K(x,y). [hyper(189,a,1909,a(flip),b,2944,a(flip)),flip(a)]. 2946 K(x \ 1,x) * R(y * T(x,x \ 1),z,u) = (x \ R(x * y,z,u)) * x. [para(2500(a,1),2451(a,1,2,1))]. 2947 R((x \ (1 / (1 / y))) * x,1 / y,(1 / y) \ 1) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). [hyper(189,a,373,a,b,2548,a),flip(a)]. 2948 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(x * (1 / (1 / (x \ 1))),y,z). [para(2387(a,1),2557(a,1,2))]. 2949 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(x * (1 / x),y,z). [para(67(a,1),2948(a,2,1,2,2))]. 2950 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(K(x,x \ 1),y,z). [para(1535(a,2),2949(a,2,1))]. 2951 ((x \ (x / (y \ 1))) * z) * K(y \ 1,y) = (1 / ((x \ (x / (1 / y))) \ 1)) * z. [para(2298(a,1),2668(a,2,1,2))]. 2952 K(x \ 1,x) * L(K(x,x \ 1) * y,z,u) = (x \ L(x * (y / x),z,u)) * x. [hyper(2477,a,2708,a)]. 2953 ((x \ (x / (y \ 1))) * z) * K(y \ 1,y) = (x \ (x / (1 / y))) * z. [hyper(189,a,126,a(flip),b,2951,a)]. 2955 K(x \ 1,x) * L(y * K(x,x \ 1),z,u) = (x \ L(x * (y / x),z,u)) * x. [para(2502(a,1),2952(a,1,2,1))]. 2956 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = R(1,y,z). [para(145(a,1),2694(a,2,1))]. 2957 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = 1. [hyper(189,a,268,a(flip),b,2956,a)]. 2960 ((x \ R(x,y,z)) \ (x \ 1)) * (x \ R(x,y,z)) = (x \ 1) * 1. [para(2957(a,1),213(a,1,2)),flip(a)]. 2961 (x \ 1) / (x \ R(x,y,z)) = (x \ R(x,y,z)) \ (x \ 1). [hyper(76,a,15,a(flip),b,2960,a)]. 2962 (x \ R(x,y,z)) \ (x \ 1) = R(x,y,z) \ 1. [hyper(189,a,2227,a(flip),b,2961,a(flip))]. 2963 (x \ 1) \ (R(x,y,z) \ 1) = (x \ R(x,y,z)) \ 1. [hyper(75,a,2962,a(flip),b,1937,a)]. 2964 ((1 / x) \ R(1 / x,y,z)) \ x = R(1 / x,y,z) \ 1. [para(69(a,1),2962(a,1,2))]. 2965 (x * R(x \ 1,y,z)) \ x = R(1 / x,y,z) \ 1. [para(857(a,1),2964(a,1,1))]. 2966 R(1 / (1 / x),y,z) \ 1 = (R(x,y,z) / x) \ (1 / x). [para(915(a,1),2965(a,1,1)),flip(a)]. 2967 R(K(x \ (x / ((y \ x) / T(x,y))),x),x \ 1,x) = L(T(x,y) \ x,x \ 1,x). [hyper(189,a,2899,a(flip),b,2855,a)]. 2968 R(T(x,y) \ x,x \ 1,x) = L(T(x,y) \ x,x \ 1,x). [para(2744(a,1),2967(a,1,1))]. 2969 R(x / (x / y),z,u) / R(y,z,u) = R(y,z,u) \ R(x / (x / y),z,u). [para(678(a,1),2788(a,1,2)),flip(a)]. 2970 R(x,y,z) \ R(1 / (1 / x),y,z) = x * T(x \ 1,R(x,y,z)). [hyper(189,a,1367,a(flip),b,2969,a(flip))]. 2971 T(L((x * y) / x,z \ T(z,x),z),x) = (z \ T(z,x)) * (z * (T(z,x) \ y)). [para(2889(a,1),2890(a,1,1))]. 2972 L(x \ (x * y),z \ T(z,x),z) = (z \ T(z,x)) * (z * (T(z,x) \ y)). [hyper(674,a,2971,a)]. 2973 (x \ T(x,y)) * (x * (T(x,y) \ z)) = L(z,x \ T(x,y),x). [para(16(a,1),2972(a,1,1)),flip(a)]. 2974 (x \ T(x,y)) \ x = x * (T(x,y) \ x). [hyper(75,a,2868,a(flip),b,2973,a)]. 2975 (x \ T(x,y)) * T(y,T(x,y)) = L(y,x \ T(x,y),x). [para(1008(a,1),2973(a,1,2))]. 2976 x * (T(x,R(y,x,(y * x) \ x)) \ x) = (x \ (x * K(x,y))) \ x. [para(1407(a,1),2974(a,1,1,2)),flip(a)]. 2977 x * (T(x,R(y,y \ 1,x)) \ x) = (y \ ((x * y) / x)) \ x. [para(2800(a,1),2974(a,1,1)),flip(a)]. 2978 T(x,T(y,x)) * (y \ T(y,x)) = L(x,y \ T(y,x),y). [hyper(2768,a,2975,a)]. 2979 (x \ ((y * x) / y)) \ y = y * (((y * x) / y) \ x). [para(2874(a,1),2977(a,1,2)),flip(a)]. 2980 x * (((x * T(y,x)) / x) \ T(y,x)) = (T(y,x) \ y) \ x. [para(143(a,1),2979(a,1,1,2)),flip(a)]. 2981 (T(x,y) \ x) \ y = y * (x \ T(x,y)). [para(143(a,1),2980(a,1,2,1)),flip(a)]. 2982 (T(x,y) \ x) * (y * (x \ T(x,y))) = y. [para(2981(a,1),17(a,1,2))]. 2983 x * (T(x,R(y,x,(y * x) \ x)) \ x) = K(x,y) \ x. [para(16(a,1),2976(a,2,1))]. 2985 x * (K(x,y) \ 1) = K(x,y) \ x. [para(2886(a,1),2983(a,1,2))]. 2987 K(T(x,y),T(x,y) \ 1) * (((1 / T(x,y)) \ 1) \ z) = T(1 / (1 / x),y) \ z. [para(1536(a,1),2406(a,1,1))]. 2989 K(x,x \ 1) * (((1 / T(x,y)) \ 1) \ z) = T(1 / (1 / x),y) \ z. [para(2723(a,1),2987(a,1,1))]. 2990 K(x,x \ 1) * (T(x,y) \ z) = T(1 / (1 / x),y) \ z. [para(69(a,1),2989(a,1,2,1))]. 2992 (T(x,y) \ z) * K(x,x \ 1) = T(1 / (1 / x),y) \ z. [hyper(2520,a,2990,a)]. 2994 (T(x \ 1,y) \ z) * K(x \ 1,x) = T(1 / (1 / (x \ 1)),y) \ z. [para(1538(a,1),2992(a,1,2))]. 2995 (T(x \ 1,y) \ z) * K(x \ 1,x) = T(1 / x,y) \ z. [para(67(a,1),2994(a,2,1,1,2))]. 2996 K(x \ 1,x) * (T(x \ 1,y) \ z) = T(1 / x,y) \ z. [hyper(2477,a,2995,a)]. 2997 T(1 / x,y) \ (T(x \ 1,y) * z) = K(x \ 1,x) * z. [para(16(a,1),2996(a,1,2)),flip(a)]. 2998 T(1 / x,y) * (K(x \ 1,x) * z) = T(x \ 1,y) * z. [para(2997(a,1),17(a,1,2))]. 2999 T(1 / x,y) * ((1 / x) \ z) = T(x \ 1,y) * ((x \ 1) \ z). [para(2376(a,1),2998(a,1,2))]. 3000 (1 / x) * (T(x \ 1,y) * ((x \ 1) \ z)) = T(1 / x,y) * z. [para(2999(a,1),974(a,1,2))]. 3001 T(x \ 1,y) * ((x \ 1) \ (K(x,x \ 1) * z)) = T(1 / x,y) * ((x \ 1) \ z). [para(2426(a,1),2999(a,1,2)),flip(a)]. 3002 T(x \ 1,y) * ((((x \ 1) \ 1) \ 1) \ z) = T(1 / x,y) * ((x \ 1) \ z). [para(2464(a,1),3001(a,1,2))]. 3003 T(x \ 1,y) * (T(x \ 1,(x \ 1) \ 1) \ z) = T(1 / x,y) * ((x \ 1) \ z). [para(114(a,2),3002(a,1,2,1))]. 3004 T(T(x,x \ 1),y) * (K(x \ 1,x) * z) = K(x \ 1,x) * (T(T(x,x \ 1),y) * z). [hyper(189,a,2465,a(flip),b,2458,a(flip)),flip(a)]. 3005 K(x \ 1,x) * (T(T(x,x \ 1),y) * z) = ((x \ T(x,y)) * x) * z. [hyper(189,a,2925,a(flip),b,3004,a(flip))]. 3006 T(x,x \ 1) * (((x \ T(x,y)) * x) * z) = x * (T(T(x,x \ 1),y) * z). [para(3005(a,1),2454(a,1,2))]. 3007 T(x,x \ 1) * (T(x,y) * z) = x * (T(T(x,x \ 1),y) * z). [para(2799(a,1),3006(a,1,2,1))]. 3008 T(x,x \ 1) * (T(x,y) * z) = x * (T((x \ 1) \ 1,y) * z). [para(114(a,1),3007(a,2,2,1,1))]. 3009 (1 / x) * (T(((1 / x) \ 1) \ 1,y) * z) = (x \ 1) * (T(1 / x,y) * z). [para(497(a,1),3008(a,1,1)),flip(a)]. 3010 (1 / x) * (T(x \ 1,y) * z) = (x \ 1) * (T(1 / x,y) * z). [para(69(a,1),3009(a,1,2,1,1,1))]. 3011 K(x \ 1,x) * (T(1 / x,y) * z) = T(x \ 1,y) * z. [hyper(20,a,2417,a,b,3010,a),flip(a)]. 3012 (T(1 / x,y) * z) / (T(1 / x,y) * ((x \ 1) \ z)) = x \ 1. [hyper(76,a,3000,a(flip),b,3010,a(flip))]. 3013 ((x \ 1) \ 1) * (T(x \ 1,y) * z) = x * (T(1 / x,y) * z). [para(3011(a,1),2455(a,1,2))]. 3014 (((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1)) \ (x \ 1) = (x \ R(x,y,z)) / R(x,y,z). [para(867(a,1),2827(a,2,1))]. 3015 (x * T(1 / x,y)) \ (x * (T(1 / x,y) * z)) = L(z,T(x \ 1,y),(x \ 1) \ 1). [para(3013(a,1),2700(a,1,2))]. 3016 L(x,T(y \ 1,z),(y \ 1) \ 1) != u | L(x,T(1 / y,z),y) = u. [para(3015(a,1),355(a,1))]. 3017 K(T(x / y,T(y,x)) \ 1,T(x / y,T(y,x))) = K(x \ y,T(x / y,T(y,x))). [para(1030(a,1),2623(a,2,1))]. 3018 K(T(x / y,T(y,x)) \ 1,T(x / y,T(y,x))) = K(x \ y,y \ x). [hyper(189,a,2008,a(flip),b,3017,a)]. 3019 K((x / y) \ 1,x / y) = K(x \ y,y \ x). [hyper(189,a,2909,a(flip),b,3018,a(flip)),flip(a)]. 3021 K(x / y,y / x) = K(y \ x,x \ y). [hyper(189,a,2342,a(flip),b,3019,a(flip)),flip(a)]. 3022 K(x / y,(x / y) \ 1) = K(y \ x,x \ y). [hyper(2132,a,3021,a)]. 3023 K(x \ y,y \ x) * (y / x) = ((y / x) \ 1) \ 1. [para(3022(a,1),1540(a,1,1))]. 3024 K(((x * y) * z) \ (y * z),R(T(x,y * z),y,z)) * ((y * z) / ((x * y) * z)) = (((y * z) / ((x * y) * z)) \ 1) \ 1. [para(507(a,1),3023(a,1,1,2))]. 3025 R(x,y,z) / (((x \ u) / u) \ 1) = ((x \ u) / u) * R(x,y,z). [para(16(a,1),2712(a,1,2,1)),flip(a)]. 3026 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(3025(a,1),901(a,1,1,2))]. 3027 R((x \ (x / (1 / y))) * x,y \ 1,y) = (x * ((y \ 1) * T((y \ 1) \ 1,x))) * y. [para(2953(a,1),2357(a,1,1))]. 3028 R((x \ (x / (1 / y))) * x,y \ 1,y) = (x * (y \ T(y,x))) * y. [para(770(a,1),3027(a,2,1,2))]. 3029 R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)) = ((x * y) * (1 / z)) / (y * (1 / z)). [para(2263(a,1),2269(a,1,2)),flip(a)]. 3030 R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)) != u | R(x,y,1 / z) = u. [para(3029(a,2),385(a,1))]. 3031 R((1 / x) * T((1 / x) \ 1,y),K(x \ 1,x),z) = (1 / x) * T((1 / x) \ 1,y). [para(2400(a,1),2401(a,2,2,1,1))]. 3032 R((1 / x) * T((1 / x) \ 1,y),K(x \ 1,x),z) = x \ T(x,y). [hyper(189,a,2801,a(flip),b,3031,a)]. 3034 R(x \ T(x,y),K(x \ 1,x),z) = x \ T(x,y). [para(2801(a,1),3032(a,1,1))]. 3035 (x \ T(x,y)) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,T(x,y)) * z. [para(3034(a,1),2916(a,1,1))]. 3036 (x \ T(x,y)) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,x) * z. [para(2911(a,1),3035(a,2,1))]. 3038 (x \ T(x,y)) * (K(x \ 1,x) * z) = ((x \ 1) * T(x,y)) * z. [para(3036(a,1),17(a,1,2))]. 3040 (x \ T(x,y)) * (z * K(x \ 1,x)) = ((x \ 1) * T(x,y)) * z. [para(2475(a,1),3038(a,1,2))]. 3041 L(L(x,y,1 / z),(1 / z) * y,K(z \ 1,z)) = ((z \ 1) * y) \ ((z \ 1) * (y * x)). [para(2378(a,1),2409(a,1,2)),flip(a)]. 3042 L(L(x,y,1 / z),(1 / z) * y,K(z \ 1,z)) != u | L(x,y,z \ 1) = u. [para(3041(a,2),355(a,1))]. 3043 (x * K(y,y \ 1)) \ ((x * z) * K(y,y \ 1)) = L(z,T(x,K(y,y \ 1)),K(y,y \ 1)). [para(2513(a,1),2515(a,1,2,1,1))]. 3044 (L(x,y,y \ 1) \ ((1 / y) * (x * y))) * ((y * ((1 / y) * (x * y))) / y) = (1 / y) * (x * y). [para(18(a,1),2828(a,1,1,1))]. 3046 x * ((y * ((1 / y) * (z * y))) / y) != (1 / y) * (z * y) | L(z,y,y \ 1) \ ((1 / y) * (z * y)) = x. [para(3044(a,1),23(a,1)),flip(a)]. 3047 T((x \ 1) * (x * ((y * z) / y)),y) = T(1 / x,y) * L(T(1 / x,y) \ z,x \ 1,x). [para(2560(a,1),2562(a,1,1))]. 3048 R(x,y,z) \ T(R(x,y,z),R(1 / x,x,R(x,y,z))) = (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)). [para(2696(a,1),2836(a,1,2))]. 3049 R(x,y,z) \ R(T(x,R(1 / x,x,R(x,y,z))),y,z) = (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)). [para(45(a,2),3048(a,1,2))]. 3050 (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) = R(x,y,z) \ R(T(x,x \ 1),y,z). [para(1749(a,1),3049(a,1,2,1)),flip(a)]. 3051 (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) = a(R(x,y,z),1 / x,x). [hyper(189,a,742,a(flip),b,3050,a)]. 3053 x * ((x \ R(x,y,z)) / R(x,y,z)) = a(R(x,y,z),1 / x,x). [hyper(2630,a,3051,a)]. 3054 x * L(x \ 1,R(x,y,z),1 / x) = a(R(x,y,z),1 / x,x). [para(1671(a,2),3053(a,1,2))]. 3055 R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = R(a(R(x,y,z),1 / x,x),y,z). [para(3054(a,1),2240(a,1,1)),flip(a)]. 3056 x * (T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)) = x / K(y,x). [para(2669(a,1),2883(a,1,2)),flip(a)]. 3057 x * (T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)) = K(y,x) \ x. [hyper(189,a,2858,a(flip),b,3056,a)]. 3058 x * (((x * y) \ (x * T(x \ (x * y),x))) \ 1) = x / K(y,x). [para(2853(a,1),3056(a,1,2))]. 3059 x * (((x * y) \ (x * T(y,x))) \ 1) = x / K(y,x). [para(16(a,1),3058(a,1,2,1,2,2,1))]. 3060 x * (((x * y) \ (y * x)) \ 1) = x / K(y,x). [para(113(a,1),3059(a,1,2,1,2))]. 3061 x * (K(y,x) \ 1) = x / K(y,x). [para(29(a,2),3060(a,1,2,1))]. 3062 x * (K(y,x) \ 1) = K(y,x) \ x. [hyper(189,a,2858,a(flip),b,3061,a)]. 3063 x \ (K(y,x) \ x) = K(y,x) \ 1. [hyper(75,a,2858,a(flip),b,3061,a)]. 3065 (K(x,y) \ 1) \ (K(x,y) \ y) = y. [hyper(75,a,3062,a(flip),b,2919,a)]. 3066 K(x,y) \ y != y * z | K(x,y) \ 1 = z. [para(3062(a,1),22(a,1))]. 3067 R(x,K(y,x) \ 1,z) \ ((K(y,x) \ x) * z) = (K(y,x) \ 1) * z. [para(3062(a,1),133(a,1,2,1))]. 3068 (K(x,y) \ y) \ (K(x,y) \ 1) = y \ 1. [para(3062(a,1),2921(a,1,1))]. 3069 (x * K(y,x)) \ x = K(y,x) \ 1. [hyper(75,a,3065,a(flip),b,656,a(flip))]. 3070 (K(x,y) \ 1) * T(y,z) = K(x,y) \ T(y,z). [para(3065(a,1),771(a,1,2,1))]. 3071 (K(x,y) \ y) * (y \ 1) = K(x,y) \ 1. [para(3068(a,1),17(a,1,2))]. 3072 R(K(x,y) \ y,y \ 1,y) = (K(x,y) \ 1) * ((y \ 1) \ 1). [para(3071(a,1),2271(a,1,1)),flip(a)]. 3073 K(x,y) \ T(y,y \ z) = (K(x,y) \ 1) * ((y \ z) \ z). [hyper(189,a,220,a(flip),b,3070,a(flip))]. 3074 (K(x,y) \ 1) * ((y \ z) \ z) = K(x,y) \ ((y \ z) \ z). [hyper(189,a,318,a(flip),b,3073,a(flip))]. 3075 R(K(x,y) \ y,y \ 1,y) = K(x,y) \ ((y \ 1) \ 1). [hyper(189,a,3074,a(flip),b,3072,a)]. 3076 x * (K(x,y) * (K(x,y) \ ((y \ 1) \ 1))) = (T(y,y \ 1) * x) * K(x,y). [para(3075(a,1),2026(a,1,2,2))]. 3077 (((x * y) \ x) * T(((x * y) \ x) \ 1,x)) / x = 1 / (K(y,x) \ x). [para(3057(a,1),2892(a,1,2)),flip(a)]. 3078 1 / (K(x,y) \ y) = K(x,y) / y. [para(903(a,2),3077(a,1,1)),flip(a)]. 3079 (K(x,y) / y) \ 1 = K(x,y) \ y. [para(3078(a,1),69(a,1,1))]. 3080 K(x,y) = (T(y,y \ 1) * x) \ (x * ((y \ 1) \ 1)). [hyper(432,a,3076,a),flip(a)]. 3081 K(x,(y \ 1) \ 1) = K(x,y). [hyper(189,a,527,a(flip),b,3080,a),flip(a)]. 3083 K(x,1 / y) = K(x,y \ 1). [para(69(a,1),3081(a,1,2,1)),flip(a)]. 3084 K(x,1 / (1 / y)) = K(x,y). [para(134(a,1),3081(a,1,2)),flip(a)]. 3085 (((x \ 1) \ 1) \ y) * ((x \ 1) \ 1) = y * K(((x \ 1) \ 1) \ y,x). [para(3081(a,1),213(a,1,2)),flip(a)]. 3086 ((x \ 1) \ 1) * K(y,(x \ 1) \ 1) = (x \ 1) \ K(y,x). [para(3081(a,1),2939(a,2,2))]. 3088 x * ((x \ R(x,y,z)) / R(x,y,z)) = K(R(x,y,z),x \ 1). [hyper(189,a,1327,a,b,3083,a(flip)),flip(a)]. 3089 (x * ((1 / (1 / x)) * y)) \ ((x * y) * (1 / (1 / x))) = K(x * y,x). [hyper(189,a,1116,a,b,3084,a(flip)),flip(a)]. 3090 K(x,((1 / y) \ z) / z) = K(x,((y \ 1) \ z) / z). [para(2707(a,1),3084(a,1,2))]. 3091 ((1 / x) \ y) \ (y * R(1 / (1 / x),x \ 1,(1 / x) \ y)) = K(y,((x \ 1) \ y) / y). [hyper(189,a,2593,a,b,3090,a(flip)),flip(a)]. 3092 a(R(x,y,z),1 / x,x) = K(R(x,y,z),x \ 1). [hyper(189,a,3053,a(flip),b,3088,a(flip)),flip(a)]. 3093 R(K(R(x,y,z),x \ 1),y,z) = K(R(x,y,z),R(x,y,z) \ 1). [para(3088(a,1),2152(a,1,1))]. 3094 R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = R(K(R(x,y,z),x \ 1),y,z). [para(3092(a,1),3055(a,2,1))]. 3095 K(((x \ 1) \ 1) \ y,x) = K(x \ y,x). [hyper(2549,a,3085,a),flip(a)]. 3096 K(x \ ((1 / x) \ y),x) = K(x \ ((x \ 1) \ y),x). [para(2435(a,1),3095(a,1,1))]. 3097 ((1 / x) \ y) \ ((1 / x) \ T(y,x)) = K(x \ ((x \ 1) \ y),x). [hyper(189,a,781,a,b,3096,a(flip)),flip(a)]. 3098 (x * (y * (1 / (1 / x)))) \ ((x * T(y,1 / (1 / x))) * (1 / (1 / x))) = K(x * T(y,1 / (1 / x)),x). [para(113(a,1),3089(a,1,1,2))]. 3099 R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = K(R(x,y,z),R(x,y,z) \ 1). [hyper(189,a,3093,a(flip),b,3094,a)]. 3100 (R(x,y,z) / x) \ (1 / x) = 1 / R(x,y,z). [hyper(20,a,1535,a(flip),b,3099,a)]. 3101 R(1 / (1 / x),y,z) \ 1 = 1 / R(x,y,z). [hyper(189,a,2966,a,b,3100,a(flip)),flip(a)]. 3103 1 / R(x \ 1,y,z) = R(1 / x,y,z) \ 1. [para(67(a,1),3101(a,1,1,1,2)),flip(a)]. 3104 (R(1 / x,y,z) \ 1) \ 1 = R(x \ 1,y,z). [para(3103(a,1),69(a,1,1))]. 3105 R((x \ 1) \ 1,y,z) = (R(x,y,z) \ 1) \ 1. [para(67(a,1),3104(a,1,1,1,1)),flip(a)]. 3107 R(T(x,x \ 1),y,z) = (R(x,y,z) \ 1) \ 1. [hyper(189,a,835,a,b,3105,a(flip)),flip(a)]. 3108 R(((x / y) \ 1) \ 1,y,z) * (y * z) = (y * z) * ((((y * z) \ (x * z)) \ 1) \ 1). [para(3105(a,2),2115(a,1,1))]. 3109 (x * y) * ((((x * y) \ (z * y)) \ 1) \ 1) = ((((z / x) \ 1) \ 1) * x) * y. [hyper(204,a,3108,a),flip(a)]. 3110 (x * y) * ((((x * y) \ (z * y)) \ 1) \ 1) = (x * (((x \ z) \ 1) \ 1)) * y. [para(2103(a,1),3109(a,2,1))]. 3111 ((R(x,y,z) \ 1) \ 1) \ ((x * y) * z) = ((x * y) * ((((x * y) \ y) \ 1) \ 1)) * z. [hyper(189,a,2578,a(flip),b,3110,a(flip)),flip(a)]. 3112 ((R(x,y,z) \ 1) \ 1) \ ((x * y) * z) = (K(x \ 1,x) * y) * z. [para(2833(a,1),3111(a,2,1))]. 3113 ((R(x,y,z) \ 1) \ 1) \ ((x * y) * z) != u * z | K(x \ 1,x) * y = u. [para(3112(a,2),23(a,1))]. 3114 (x * (y * (1 / (1 / x)))) \ ((x * T(y,x)) * (1 / (1 / x))) = K(x * T(y,1 / (1 / x)),x). [para(2674(a,1),3098(a,1,2,1,2))]. 3115 (x * (y * (1 / (1 / x)))) \ ((y * x) * (1 / (1 / x))) = K(x * T(y,1 / (1 / x)),x). [para(113(a,1),3114(a,1,2,1))]. 3116 (x * (y * (1 / (1 / x)))) \ ((y * x) * (1 / (1 / x))) = K(x * T(y,x),x). [para(2674(a,1),3115(a,2,1,2))]. 3117 (x * (y * (1 / (1 / x)))) \ ((y * x) * (1 / (1 / x))) = K(y * x,x). [para(113(a,1),3116(a,2,1))]. 3118 K(x * L(y,y \ 1,y),y) = K(x * y,y). [hyper(189,a,1929,a(flip),b,3117,a(flip)),flip(a)]. 3119 K(x * (1 / (1 / y)),y) = K(x * y,y). [para(472(a,1),3118(a,1,1,2))]. 3120 K((1 / (1 / x)) * (x \ y),x) = K((y / x) * x,x). [para(2691(a,2),3119(a,1,1))]. 3121 K((1 / (1 / x)) * (x \ y),x) = K(y,x). [para(19(a,1),3120(a,2,1))]. 3122 K(K(x \ 1,x) * y,x) = K(y,x). [para(2460(a,1),3121(a,1,1))]. 3123 K(x * (1 / y),y) = K(x * (y \ 1),y). [para(2446(a,1),3122(a,1,1)),flip(a)]. 3124 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(632(a,1),2695(a,1,1))]. 3125 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(632(a,1),3124(a,1,2,3))]. 3126 T(((x \ 1) \ 1) * T(y,x),T(x,x \ 1) \ 1) = T(x \ 1,x) \ R(y,x,x \ 1). [para(2603(a,1),3125(a,1,2)),flip(a)]. 3127 T(x * T(y,y \ 1),T(y,y \ 1) \ 1) = T(y \ 1,y) \ R(x,y,y \ 1). [para(2686(a,1),3126(a,1,1))]. 3128 T(x * T(y,y \ 1),T(y \ 1,y)) = T(y \ 1,y) \ R(x,y,y \ 1). [para(632(a,1),3127(a,1,2))]. 3129 T(x \ 1,x) \ R(T(x,y) \ 1,x,x \ 1) = T(T(x,y) \ x,T(x,x \ 1) \ 1). [para(2540(a,1),3127(a,1,1)),flip(a)]. 3130 T(x \ 1,x) \ R(y,x,x \ 1) = T(y * T(x,x \ 1),x \ 1). [hyper(189,a,2675,a(flip),b,3128,a(flip))]. 3131 T(x \ 1,x) \ R(y,x,x \ 1) = R((x \ 1) \ y,1 / x,x). [hyper(189,a,2703,a(flip),b,3130,a)]. 3132 T(x \ 1,x) \ R(y,x,x \ 1) = R((x \ 1) \ y,x \ 1,x). [hyper(189,a,2275,a(flip),b,3131,a)]. 3133 R((x \ 1) \ (T(x,y) \ 1),x \ 1,x) = T(T(x,y) \ x,T(x,x \ 1) \ 1). [hyper(189,a,3132,a(flip),b,3129,a(flip)),flip(a)]. 3134 R((x \ 1) \ (T(x,y) \ 1),x \ 1,x) = T(T(x,y) \ x,T(x \ 1,x)). [para(632(a,1),3133(a,2,2))]. 3135 R((x \ 1) \ (T(x,y) \ 1),x \ 1,x) = T(T(x,y) \ x,x \ 1). [hyper(189,a,2675,a(flip),b,3134,a)]. 3136 R((x \ 1) \ (T(x,y) \ 1),x \ 1,x) = T(x,y) \ x. [hyper(189,a,2856,a(flip),b,3135,a)]. 3137 R(T(x,y) \ x,x \ 1,x) = T(x,y) \ x. [para(2733(a,1),3136(a,1,1))]. 3138 L(T(x,y) \ x,x \ 1,x) = T(x,y) \ x. [hyper(189,a,2968,a(flip),b,3137,a(flip)),flip(a)]. 3139 L(T(x,y) \ x,T(x,y),y) = L((x * y) \ (y * x),x \ 1,x). [para(3138(a,1),717(a,1,1))]. 3140 L((x * y) \ (y * x),x \ 1,x) = (x * y) \ (y * x). [hyper(189,a,365,a(flip),b,3139,a(flip))]. 3141 K(x,y) = L((y * x) \ (x * y),y \ 1,y). [hyper(189,a,29,a,b,3140,a),flip(a)]. 3142 L(K(x,y),y \ 1,y) = K(x,y). [para(29(a,2),3141(a,2,1)),flip(a)]. 3143 (1 / x) * K(y,x) = K(y,x) / x. [para(3142(a,1),2945(a,1,1)),flip(a)]. 3145 R((x \ (1 / (1 / y))) * x,1 / y,y) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). [para(69(a,1),2947(a,1,1,3))]. 3146 R((x \ (1 / (1 / y))) * x,y \ 1,y) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). [para(2275(a,1),3145(a,1,1))]. 3147 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(19(a,1),3026(a,1,1,2))]. 3149 ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1) = K(x \ 1,R(x,y,z)). [para(868(a,1),3147(a,1,1)),flip(a)]. 3151 K(x \ 1,R(x,y,z)) \ (x \ 1) = (x \ R(x,y,z)) / R(x,y,z). [para(3149(a,1),3014(a,1,1))]. 3152 (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) = K(x \ 1,R(x,y,z)) \ 1. [hyper(75,a,3151,a(flip),b,2985,a)]. 3153 x * ((x \ R(x,y,z)) / R(x,y,z)) = K(x \ 1,R(x,y,z)) \ 1. [hyper(2630,a,3152,a)]. 3154 K(x \ 1,R(x,y,z)) \ 1 = K(R(x,y,z),x \ 1). [hyper(189,a,3088,a(flip),b,3153,a(flip))]. 3155 K(R(x,y,z),x \ 1) \ 1 = K(x \ 1,R(x,y,z)). [para(3154(a,1),2003(a,1,1))]. 3156 a(R(x,y,z),1 / x,x) \ 1 = K(x \ 1,R(x,y,z)). [para(3092(a,2),3155(a,1,1))]. 3157 R(T(x,x \ 1),y,z) \ R(x,y,z) = K(x \ 1,R(x,y,z)). [hyper(189,a,2923,a,b,3156,a(flip)),flip(a)]. 3158 x * T(x \ 1,R(x,y,z)) = K(x \ 1,R(x,y,z)). [hyper(2715,a,3157,a)]. 3159 R(x,y,z) \ R(1 / (1 / x),y,z) = K(x \ 1,R(x,y,z)). [hyper(189,a,2970,a,b,3158,a(flip)),flip(a)]. 3160 K(R(x,y,z) \ 1,R(x,y,z)) * (y * z) = (K(x \ 1,R(x,y,z)) * y) * z. [para(3158(a,1),2016(a,2,1,1))]. 3161 (R(1 / (1 / x),y,z) \ 1) \ (R(x,y,z) \ 1) = K(x \ 1,R(x,y,z)). [hyper(189,a,2178,a,b,3159,a(flip)),flip(a)]. 3162 (1 / R(x,y,z)) \ (R(x,y,z) \ 1) = K(x \ 1,R(x,y,z)). [para(3101(a,1),3161(a,1,1))]. 3163 K(R(x,y,z) \ 1,R(x,y,z)) = K(x \ 1,R(x,y,z)). [hyper(1201,a,3162,a)]. 3164 K(x \ 1,R(x,y,z)) != u | K(R(x,y,z) \ 1,R(x,y,z)) = u. [para(3162(a,1),1201(a,1))]. 3165 R(x,y,z) * (1 / R(x,y,z)) = K(x \ 1,R(x,y,z)) \ 1. [para(3163(a,1),1545(a,1,1)),flip(a)]. 3166 R(x,y,z) * (1 / R(x,y,z)) = K(R(x,y,z),x \ 1). [hyper(189,a,3154,a(flip),b,3165,a)]. 3167 T(R(x,y,z),R(x,y,z) \ 1) \ ((x * y) * z) = (K(x \ 1,R(x,y,z)) * y) * z. [hyper(189,a,2466,a,b,3160,a(flip)),flip(a)]. 3168 (K(x \ 1,R(x,y,z)) * y) * z = K(x \ 1,R(x,y,z)) * (y * z). [para(3163(a,1),3160(a,1,1)),flip(a)]. 3169 L(x,y,K(z \ 1,R(z,y,x))) = x. [hyper(346,a,3168,a)]. 3170 ((R(x,y,z) \ 1) \ 1) \ ((x * y) * z) = (K(x \ 1,R(x,y,z)) * y) * z. [hyper(189,a,523,a(flip),b,3167,a(flip)),flip(a)]. 3171 K(x \ 1,R(x,y,z)) * y = K(x \ 1,x) * y. [hyper(3113,a,3170,a),flip(a)]. 3172 K(x \ 1,R(x,y,z)) = K(x \ 1,x). [hyper(23,a,3171,a)]. 3174 K(R(x,y,z) \ 1,R(x,y,z)) = K(x \ 1,x). [hyper(3164,a,3172,a)]. 3176 (x \ R(x,y,z)) * K(x \ 1,x) = (x \ 1) * R(x,y,z). [para(3172(a,1),871(a,1,2))]. 3178 L(x,y,K(z \ 1,z)) = x. [para(3172(a,1),3169(a,1,3))]. 3179 L(x,y,1 / z) = L(x,y,z \ 1). [hyper(3042,a,3178,a),flip(a)]. 3181 (x * K(y,y \ 1)) \ z = x \ (K(y \ 1,y) * z). [hyper(189,a,2509,a(flip),b,3178,a(flip))]. 3182 (x * K(y \ 1,y)) \ K(y \ 1,y) = x \ 1. [hyper(189,a,2491,a(flip),b,3178,a(flip)),flip(a)]. 3183 (K(x \ 1,x) * y) \ (K(x \ 1,x) * z) = y \ z. [hyper(189,a,104,a(flip),b,3178,a(flip)),flip(a)]. 3184 (K(x \ 1,x) * y) * z = K(x \ 1,x) * (y * z). [para(3178(a,1),102(a,1,2))]. 3185 (K(x \ 1,x) * y) / z = K(x \ 1,x) * (y / z). [para(3178(a,1),398(a,1,2))]. 3186 L(x,y,K(z,z \ 1)) = x. [para(1536(a,1),3178(a,1,3))]. 3187 (x * K(y \ 1,y)) * z = K(y \ 1,y) * (x * z). [para(3178(a,1),2492(a,1,2))]. 3190 L(x,y,K(z,z \ 1)) = u \ (u * x). [hyper(189,a,16,a,b,3186,a)]. 3191 (x * K(y,y \ 1)) \ ((x * z) * K(y,y \ 1)) = z. [hyper(189,a,3043,a,b,3186,a(flip)),flip(a)]. 3192 (K(x,x \ 1) * y) \ (K(x,x \ 1) * z) = y \ z. [hyper(189,a,104,a(flip),b,3186,a(flip)),flip(a)]. 3193 (K(x,x \ 1) * y) * z = K(x,x \ 1) * (y * z). [para(3186(a,1),102(a,1,2))]. 3194 K(x,x \ 1) * (1 / y) = K(x,x \ 1) / y. [para(3186(a,1),311(a,1,2)),flip(a)]. 3195 (K(x,x \ 1) * y) / z = K(x,x \ 1) * (y / z). [para(3186(a,1),398(a,1,2))]. 3196 ((x \ 1) \ 1) / (y \ x) = K(x,x \ 1) * y. [para(3186(a,1),1558(a,1,2))]. 3197 K(x,x \ 1) * ((x \ 1) / y) = (1 / x) / y. [para(3186(a,1),1574(a,1,2)),flip(a)]. 3198 L(x,y,y \ 1) \ ((1 / y) * (x * y)) = L(K(x,y),y * x,y \ 1). [hyper(189,a,2386,a,b,3179,a(flip)),flip(a)]. 3199 L(x,y,(z \ 1) \ 1) = L(x,y,z). [para(67(a,1),3179(a,1,3)),flip(a)]. 3200 L(x,T(1 / y,z),y) = L(x,T(y \ 1,z),y). [hyper(3016,a,3199,a)]. 3201 L(x,y,K(z,z \ 1)) != u | u = x. [para(3190(a,2),237(a,1))]. 3205 (x * K(y,y \ 1)) \ 1 = x \ K(y \ 1,y). [para(2322(a,1),3182(a,1,1)),flip(a)]. 3206 K(x,x \ 1) / y != z | (1 / y) * K(x,x \ 1) = z. [para(3194(a,1),2520(a,1))]. 3207 ((x \ 1) \ 1) / (y \ x) = y * K(x,x \ 1). [hyper(189,a,2502,a(flip),b,3196,a)]. 3209 ((x \ 1) / y) * K(x,x \ 1) = (1 / x) / y. [hyper(2520,a,3197,a)]. 3210 L(T(1 / x,y) \ z,T(x \ 1,y),x) = (x * T(1 / x,y)) \ (x * z). [hyper(189,a,104,a(flip),b,3200,a(flip))]. 3211 (x / y) * K(x,x \ 1) = ((x \ 1) \ 1) / y. [para(69(a,1),3207(a,1,2)),flip(a)]. 3212 (1 / x) / (y \ (x \ 1)) = y * K(x,x \ 1). [hyper(456,a,3209,a),flip(a)]. 3213 (1 / (x \ 1)) / T(y,y \ T(x,x \ 1)) = (y \ ((x \ 1) \ 1)) * K(x \ 1,(x \ 1) \ 1). [para(540(a,1),3209(a,1,1)),flip(a)]. 3214 (x * K(y,y \ 1)) \ (1 / y) = x \ (y \ 1). [para(3212(a,1),69(a,1,1))]. 3216 (K(x,x \ 1) * y) \ z = y \ (K(x \ 1,x) * z). [para(2502(a,2),3181(a,1,1))]. 3217 x \ (K(y \ 1,y) * (x * ((1 / y) * z))) != u | L((y \ 1) * z,K(y,y \ 1),x) = u. [para(3181(a,1),2431(a,1))]. 3218 (K(x \ 1,x) * y) \ z = y \ (z * K(x,x \ 1)). [para(2481(a,1),3183(a,1,2))]. 3220 ((K(x \ 1,x) * (y * z)) * u) / (z * u) = R(K(x \ 1,x) * y,z,u). [para(3184(a,1),33(a,2,1,1)),flip(a)]. 3221 K(x \ 1,x) * ((x \ y) * z) = (((x \ 1) \ 1) \ y) * z. [para(2445(a,1),3184(a,1,1)),flip(a)]. 3222 K(x \ 1,x) * ((y / (x \ 1)) * z) = (y / (1 / x)) * z. [para(2484(a,1),3184(a,1,1)),flip(a)]. 3224 T(K(x \ 1,x) * (y / z),z) = z \ (K(x \ 1,x) * y). [para(3185(a,1),115(a,1,1))]. 3225 K(x \ 1,x) * (x / y) = (1 / (1 / x)) / y. [para(1145(a,1),3185(a,1,1)),flip(a)]. 3226 (1 / (1 / x)) / T(y,y \ x) = K(x \ 1,x) * (y \ x). [para(174(a,1),3225(a,1,2)),flip(a)]. 3227 (x * K(y \ 1,y)) * z = (x * z) * K(y \ 1,y). [hyper(189,a,2475,a(flip),b,3187,a)]. 3228 (x * (y * K(z \ 1,z))) \ (x * (K(z \ 1,z) * (y * u))) != w | L(u,y * K(z \ 1,z),x) = w. [para(3187(a,1),355(a,1,2,2))]. 3229 (K(x \ 1,x) * (y * ((1 / x) * z))) / ((x \ 1) * z) = R(y,K(x \ 1,x),(1 / x) * z). [para(3187(a,1),2408(a,1,1))]. 3232 R(T(x,y * K(z,z \ 1)),y,K(z,z \ 1)) = T(x,y). [para(3191(a,1),832(a,1,1)),flip(a)]. 3234 (x * K(y \ 1,y)) \ z = x \ (K(y,y \ 1) * z). [para(2480(a,1),3192(a,1,1)),flip(a)]. 3235 (x * y) \ (K(y,y \ 1) * z) = (x * (1 / (1 / y))) \ z. [para(2610(a,1),3192(a,1,1))]. 3236 R(K(x,x \ 1),y,z) = K(x,x \ 1). [hyper(376,a,3193,a)]. 3237 x \ (K(y,y \ 1) * (z * x)) = T(K(y,y \ 1) * z,x). [hyper(147,a,3193,a,b,17,a),flip(a)]. 3239 (x * K(y,y \ 1)) * z = K(y,y \ 1) * (x * z). [para(2502(a,1),3193(a,1,1))]. 3240 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = K(x,x \ 1). [hyper(189,a,2239,a,b,3236,a(flip)),flip(a)]. 3241 (x * K(y,y \ 1)) / z = K(y,y \ 1) * (x / z). [para(2502(a,1),3195(a,1,1))]. 3242 R(K(x,x \ 1) * (y / z),z,K(x \ 1,x)) = y / (z * K(x \ 1,x)). [para(3195(a,1),2503(a,1,1))]. 3244 (x * K(y \ 1,y)) \ (z * K(y \ 1,y)) = x \ z. [hyper(75,a,91,a(flip),b,3227,a)]. 3245 (x * K(y \ 1,y)) * z != u | K(y \ 1,y) * (x * z) = u. [para(3227(a,2),2477(a,1))]. 3246 (x * K(y \ 1,y)) \ 1 = x \ K(y,y \ 1). [para(15(a,1),3234(a,2,2))]. 3247 (K(x,x \ 1) * (y * z)) / (K(x,x \ 1) * z) = R(y,K(x,x \ 1),z). [hyper(76,a,3239,a(flip),b,110,a)]. 3248 K(x,x \ 1) * ((y * z) / (K(x,x \ 1) * z)) = R(y,z,T(K(x,x \ 1),z)). [hyper(189,a,2524,a(flip),b,3241,a(flip))]. 3249 T(x,x \ y) = ((x \ y) * K(z \ 1,z)) \ (y * K(z \ 1,z)). [hyper(189,a,114,a,b,3244,a),flip(a)]. 3250 (1 / x) * R(x,y,z) = x \ R(x,y,z). [hyper(21,a,2489,a,b,3176,a),flip(a)]. 3252 R(x,y,z) / x = x \ R(x,y,z). [hyper(881,a,3250,a)]. 3253 (x \ R(x,y,z)) * x = R(x,y,z). [para(3250(a,1),869(a,1,1))]. 3254 R(x \ R(x,y,z),x,y * z) = ((x * y) * z) / (x * (y * z)). [para(3252(a,1),396(a,1,1))]. 3255 T(x,x \ R(x,y,z)) = x. [hyper(227,a,3253,a)]. 3256 (x / (1 / y)) * K(y,y \ 1) != z | x / (y \ 1) = z. [para(3222(a,1),2495(a,1)),flip(b)]. 3257 x * y != z | R(x,y,y \ 1) / (y \ 1) = z. [para(2339(a,1),3256(a,1))]. 3258 T((x \ 1) * (x * ((y * (x \ z)) / y)),y) = y \ (K(x \ 1,x) * (y * ((1 / x) * z))). [para(2419(a,1),3224(a,1,1))]. 3259 (x * (1 / (1 / y))) \ (y * z) = (x * y) \ (((y \ 1) \ 1) * z). [para(2365(a,1),3235(a,1,2)),flip(a)]. 3260 T(x,y) \ (K(z,z \ 1) * (x * y)) = T(K(z,z \ 1) * y,T(x,y)). [para(113(a,1),3237(a,1,2,2))]. 3263 (K(x \ 1,x) * ((y * z) * u)) / (z * u) = R(K(x \ 1,x) * y,z,u). [para(3184(a,1),3220(a,1,1))]. 3264 K(x,x \ 1) * ((y * z) / (K(x,x \ 1) * z)) = R(y,K(x,x \ 1),z). [hyper(189,a,3195,a(flip),b,3247,a(flip)),flip(a)]. 3265 K(x \ 1,x) * (((y * z) * u) / (z * u)) = R(K(x \ 1,x) * y,z,u). [hyper(189,a,3185,a(flip),b,3263,a(flip)),flip(a)]. 3266 R(K(x \ 1,x) * y,z,u) = K(x \ 1,x) * R(y,z,u). [para(33(a,2),3265(a,1,2)),flip(a)]. 3267 R(K(x \ 1,x) * (y * T(x,x \ 1)),z,u) = (x \ R(x * y,z,u)) * x. [hyper(189,a,2946,a(flip),b,3266,a)]. 3268 (x \ R(x * y,z,u)) * x = R(y * x,z,u). [para(2482(a,1),3267(a,1,1)),flip(a)]. 3269 R(x * y,z,u) / y = y \ R(y * x,z,u). [hyper(88,a,3268,a)]. 3270 R((x \ y) * x,z,u) = (x \ R(y,z,u)) * x. [para(17(a,1),3268(a,1,1,2,1)),flip(a)]. 3271 x \ R(x * (y / x),z,u) = R(y,z,u) / x. [para(19(a,1),3269(a,1,1,1)),flip(a)]. 3272 R((x \ (y / z)) * x,z,z \ 1) = (x \ (y * (z \ 1))) * x. [para(445(a,1),3270(a,2,1,2))]. 3273 R((x \ (y / (1 / z))) * x,z \ 1,z) = (x \ (y * z)) * x. [para(2276(a,1),3270(a,2,1,2))]. 3274 R(x * (y / x),z,u) = x * (R(y,z,u) / x). [para(3271(a,1),17(a,1,2)),flip(a)]. 3275 R((x \ 1) * (y / (x \ 1)),x,x \ 1) = (x \ 1) * (y * x). [para(373(a,1),3274(a,2,2))]. 3276 R(x * ((y / z) / x),z,y \ u) * (z * (y \ u)) = (x * ((u / (z * (y \ u))) / x)) * (z * (y \ u)). [para(3274(a,2),2137(a,1,1))]. 3277 (x \ (x * y)) * x = (x * (y \ T(y,x))) * y. [hyper(189,a,3028,a(flip),b,3273,a(flip))]. 3278 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ (1 * x)) * y) / ((1 / x) \ 1). [para(3273(a,1),3146(a,1,1)),flip(a)]. 3279 (x * (y \ T(y,x))) * y = y * x. [para(16(a,1),3277(a,1,1)),flip(a)]. 3280 x * (y \ T(y,x)) = (y * x) / y. [hyper(88,a,3279,a),flip(a)]. 3281 (x \ y) * (x \ T(x,x \ y)) = y / x. [hyper(76,a,17,a(flip),b,3279,a),flip(a)]. 3282 x \ ((y * x) / y) = y \ T(y,x). [hyper(80,a,3280,a)]. 3283 (x / y) \ T(x / y,y) = y \ (x / (x / y)). [hyper(75,a,185,a(flip),b,3280,a),flip(a)]. 3284 T(x,y) \ x = y \ T(y,T(x,y)). [hyper(75,a,143,a(flip),b,3280,a)]. 3285 x * ((y * (x \ 1)) / y) = y \ T(y,x \ 1). [hyper(20,a,2792,a,b,3280,a),flip(a)]. 3286 ((x * y) / x) / y = x \ T(x,y). [hyper(20,a,2787,a,b,3280,a),flip(a)]. 3287 (x * y) \ ((x * y) / x) = L(x \ 1,T(x,y),y). [para(3280(a,1),775(a,1,2))]. 3288 ((x \ 1) * y) / (x \ 1) = y * (x * T(x \ 1,y)). [para(2638(a,1),3280(a,1,2)),flip(a)]. 3289 ((x * y) / x) * (y \ 1) = x \ T(x,y). [para(3280(a,1),2835(a,1,1))]. 3290 ((x * y) / x) \ y = T(x,y) \ x. [para(3280(a,1),2897(a,1,1))]. 3291 (T(x,y) \ x) * ((x * y) / x) = y. [para(3280(a,1),2982(a,1,2))]. 3292 L(x \ T(x,y),y,x) = K(x,(x * y) / x). [para(3282(a,1),363(a,1,1))]. 3293 T(x,R(y,y \ 1,x)) = (x \ T(x,y)) * x. [para(3282(a,1),1297(a,1,1)),flip(a)]. 3294 R(T(x,y) \ x,y,z) = (T(y,T(x,y)) * z) / (y * z). [para(3284(a,2),2804(a,1,1))]. 3295 R(x \ T(x,y),y,z) \ (((x * y) / x) * z) = y * z. [para(3286(a,1),371(a,1,1,1))]. 3296 R(x \ T(x,y),y,((x * y) / x) \ z) \ z = y * (((x * y) / x) \ z). [para(3286(a,1),395(a,1,1,1))]. 3297 T(x,x \ y) \ x = (y / x) \ (x \ y). [para(17(a,1),3290(a,1,1,1)),flip(a)]. 3298 T(x,T(y,x)) \ x = y \ T(y,x). [para(143(a,1),3290(a,1,1)),flip(a)]. 3299 ((x * y) / x) * (y \ ((T(x,y) \ x) * z)) = L(z,((x * y) / x) \ y,(x * y) / x). [para(3290(a,1),1112(a,1,2,2,1))]. 3300 L(x,y,y \ 1) \ ((1 / y) * (x * y)) = T(y,(1 / y) * (x * y)) \ y. [hyper(3046,a,3291,a)]. 3301 T(x,T(y,x)) * (y \ T(y,x)) = x. [para(3298(a,1),17(a,1,2))]. 3302 (x \ T(x,y)) \ y = T(y,T(x,y)). [para(3298(a,1),2746(a,1,1))]. 3303 (x * (T(x,T(y,x)) \ x)) * y = y * x. [para(3298(a,2),3279(a,1,1,2))]. 3304 (x * y) / x = y * (T(y,T(x,y)) \ y). [para(3298(a,2),3280(a,1,2)),flip(a)]. 3305 L(x,y \ T(y,x),y) = x. [hyper(189,a,2978,a(flip),b,3301,a(flip)),flip(a)]. 3307 T(x,y) \ (y * (x \ T(x,y))) = x \ y. [hyper(75,a,3305,a(flip),b,2785,a),flip(a)]. 3308 (x * T(x \ 1,y)) \ y = T(y,T(x \ 1,y)). [para(2638(a,1),3302(a,1,1))]. 3309 (x \ y) * (x \ ((x \ y) \ y)) = y / x. [para(114(a,1),3281(a,1,2,2))]. 3310 (x \ T(x,y)) \ (((x * y) / x) * ((y \ 1) * z)) != u | L(z,y \ 1,(x * y) / x) = u. [para(3289(a,1),355(a,1,1))]. 3311 T(x * (T(x,T(y,x)) \ x),y) = x. [hyper(147,a,3303,a,b,xx)]. 3313 T(x,y) \ ((x * y) / x) = x \ y. [para(3280(a,1),3307(a,1,2))]. 3314 T(x / y,T(y,x)) = y \ x. [hyper(1469,a,3313,a)]. 3315 T(x,y) * (x \ y) = (x * y) / x. [para(3313(a,1),17(a,1,2))]. 3316 T(x,T(x \ y,y)) = (x \ y) \ y. [para(67(a,1),3314(a,1,1))]. 3317 T(x \ y,T(x,y)) = T(x \ y,x). [para(3314(a,1),161(a,1,1)),flip(a)]. 3318 x \ (y * T(y \ x,T(y,x))) = K(y \ x,T(y,x)). [para(3314(a,1),1628(a,1,1)),flip(a)]. 3319 T(x,x / (x / y)) = T(x,y). [hyper(21,a,1597,a,b,3315,a),flip(a)]. 3320 T(x,(y \ x) * y) * K(y \ x,y) = (x * ((y \ x) * y)) / x. [para(96(a,1),3315(a,1,2))]. 3321 ((x * y) / x) \ (T(x,y) * ((x \ y) * z)) != u | L(z,x \ y,T(x,y)) = u. [para(3315(a,1),355(a,1,1))]. 3322 T(x,y) * y = x * ((x * y) / x). [para(3315(a,1),974(a,1,2)),flip(a)]. 3323 L(((x * y) / x) / y,y,x) = K(T(x,y),y). [para(3315(a,1),2771(a,1,1,1))]. 3324 T(x,x / (1 / y)) = T(x,x * y). [hyper(189,a,1602,a(flip),b,3319,a(flip)),flip(a)]. 3325 (x / T(y,x)) * y = T(x,T(y,x)). [hyper(189,a,1057,a(flip),b,3319,a(flip)),flip(a)]. 3326 (x / y) \ T(x,y) = (x * y) / x. [hyper(75,a,3319,a(flip),b,1042,a)]. 3327 T(x,x / y) = T(x,y \ x). [para(67(a,1),3319(a,1,2,2))]. 3328 T(x,(y \ x) \ x) = T(x,y). [para(130(a,1),3319(a,1,2)),flip(a)]. 3329 T(x,T(y,x)) * (y * x) = x * (x * y). [para(3319(a,1),1500(a,1,1))]. 3330 x * ((y * (x \ y)) / y) = T(y,x \ y). [hyper(1041,a,3327,a)]. 3331 T(x,T(y,y \ x)) = T(x,y). [para(114(a,2),3328(a,1,2))]. 3332 T(x,T(x \ y,y)) = T(x,x \ y). [hyper(189,a,114,a,b,3316,a)]. 3333 T(x,y) * T(x \ y,x) = (x \ y) * T(x,y). [para(3317(a,1),113(a,1,2))]. 3335 x \ (y * T(y \ x,T(y,x))) != z | K(y \ x,y) = z. [para(3317(a,2),575(a,1,2,2))]. 3336 T(x,x \ y) * (x \ y) = x * (y / x). [para(17(a,1),3322(a,2,2,1))]. 3337 R(T(x,x * y),y,x) = (x / T(y,x)) * y. [para(3324(a,1),1513(a,1,1))]. 3338 ((x * y) * y) / (x * y) = x \ T(x * y,y). [para(18(a,1),3326(a,1,1)),flip(a)]. 3339 (x \ y) \ (y / x) != z | x \ ((x \ y) \ y) = z. [para(3309(a,1),237(a,1,2)),flip(b)]. 3341 T(x,y \ x) != z | T(x,x / y) = z. [para(3330(a,1),1044(a,1))]. 3342 T(x,x \ y) * y = x * (x * (y / x)). [para(3336(a,1),974(a,1,2)),flip(a)]. 3343 (x * (x * (T(y,z) / x))) / y = (T(x,x \ T(y,z)) / y) * T(y,z). [hyper(76,a,3342,a(flip),b,1461,a)]. 3344 K(x,y) = L(x \ T(x,T(y,x)),T(y,x),x). [para(143(a,1),3292(a,2,2)),flip(a)]. 3345 T(x,R(y,y \ 1,x)) = T(x,y). [hyper(189,a,2799,a(flip),b,3293,a)]. 3346 T(x,(y \ x) \ 1) = x * K(x,y / x). [hyper(2705,a,3345,a),flip(a)]. 3348 T(x,R(y \ 1,y,x)) = T(x,y \ 1). [para(2573(a,1),3345(a,1,2))]. 3349 T(x,(y \ x) \ 1) != z | x * K(x,y / x) = z. [para(3345(a,1),2705(a,1))]. 3350 T(x,x / (x * y)) = T(x,y \ 1). [hyper(189,a,2829,a(flip),b,3348,a(flip)),flip(a)]. 3351 T(x,x / (y * x)) = T(x,y \ 1). [hyper(189,a,2678,a(flip),b,3348,a(flip)),flip(a)]. 3352 (x * ((x / y) / x)) * y = T(x,y \ 1). [hyper(1793,a,3350,a)]. 3355 K(x,(x / y) / x) = x \ T(x,y \ 1). [hyper(75,a,3350,a(flip),b,1404,a),flip(a)]. 3356 T(x * ((x / y) / x),y) = y \ T(x,y \ 1). [para(3350(a,1),1790(a,1,2)),flip(a)]. 3357 x * (y * ((x \ y) / y)) = T(y,x \ 1). [hyper(1070,a,3351,a)]. 3358 x \ T(y,x \ 1) = y * ((x \ y) / y). [hyper(75,a,3351,a(flip),b,1069,a)]. 3359 T(x,T(y,y \ x) \ 1) = x * K(x,(y \ x) / x). [para(114(a,2),3346(a,1,2,1))]. 3360 (x \ 1) \ T(y,x) = y * (((x \ 1) \ y) / y). [hyper(75,a,2671,a(flip),b,3357,a)]. 3361 (x * y) * ((x \ (x * y)) / (x * y)) = ((x \ 1) \ y) * (x \ 1). [hyper(772,a,3358,a),flip(a)]. 3362 x \ (y \ T(x,y \ 1)) = (y \ x) / x. [hyper(75,a,3358,a,b,xx)]. 3363 (x / y) \ T(x,(x / y) \ 1) = x * (y / x). [para(69(a,1),3358(a,2,2,1))]. 3364 x * R(1 / y,y,y \ x) = y \ T(x,y \ 1). [para(286(a,2),3358(a,2,2)),flip(a)]. 3368 L(x \ T(x,y),y,x) = K(T(x,y),y). [para(3286(a,1),3323(a,1,1))]. 3369 K(T(x,y),y) = K(x,(x * y) / x). [hyper(189,a,3292,a(flip),b,3368,a(flip))]. 3370 R(T(x,x * y),y,x) = T(x,T(y,x)). [hyper(189,a,3325,a(flip),b,3337,a)]. 3371 L(R(x,y,x),y,x) * y = y * T(x,T(y,x)). [para(3370(a,1),834(a,1,2)),flip(a)]. 3372 (x / y) \ (y \ x) = y \ (x / (x / y)). [para(115(a,1),3283(a,1,2))]. 3373 T(x,x \ y) \ x = x \ (y / (y / x)). [hyper(189,a,3297,a,b,3372,a(flip)),flip(a)]. 3374 x / (x / y) = y * (T(y,y \ x) \ y). [para(3373(a,2),17(a,1,2)),flip(a)]. 3375 (x * y) / ((x * y) / x) = x * (T(x,y) \ x). [para(16(a,1),3374(a,2,2,1,2))]. 3376 (x * ((y \ x) / x)) / (y \ x) = x \ T(x,y \ 1). [hyper(189,a,885,a,b,3285,a(flip)),flip(a)]. 3377 T(x \ T(x,y \ 1),z) = K(x,(x / T(y,z)) / x). [para(3285(a,1),1799(a,1,1))]. 3378 K(x,(x / y) / x) * (y * z) = y * ((x \ T(x,y \ 1)) * z). [para(3285(a,1),1812(a,2,2,1))]. 3379 (x * ((y / (z * (x \ y))) / x)) * (z * (x \ y)) = x * ((x \ T(x,z \ 1)) * (x \ y)). [para(3285(a,1),1801(a,2,2,1))]. 3380 R(x \ T(x,y \ 1),z,u) = K(x,(x / R(y,z,u)) / x). [para(3285(a,1),2149(a,1,1))]. 3381 T(x,T(L(y \ 1,y,x) \ 1,x)) = K(y,x) \ x. [para(906(a,2),3308(a,1,1)),flip(a)]. 3382 T(x \ T(x * y,y),x) = R(y,x,y). [para(3338(a,1),603(a,2,1)),flip(a)]. 3383 (x \ T(x * y,y)) * x = x * R(y,x,y). [para(3338(a,1),612(a,1,1))]. 3384 (x * R(y,x,y)) \ T(x * y,y) = K(x,x \ T(x * y,y)). [para(3383(a,1),97(a,1,1))]. 3385 T(((x / y) / x) * ((x \ 1) \ 1),y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x. [para(3356(a,1),2321(a,2,1,2))]. 3386 (((x / y) \ 1) \ y) * ((x / y) \ 1) = x * (y / x). [hyper(941,a,3363,a)]. 3387 T((x * y) / x,T(x,y)) = L(R(y,x,y),x,y). [hyper(21,a,325,a,b,3371,a),flip(a)]. 3388 x / (y \ ((y * x) / y)) = y * (T(y,x) \ y). [hyper(189,a,1049,a(flip),b,3375,a(flip)),flip(a)]. 3389 (x * y) / ((x * y) / x) != x * z | T(x,y) \ x = z. [para(3375(a,2),22(a,1))]. 3390 x * (((x * y) / ((x * y) / x)) \ z) = (x * (T(x,y) \ x)) \ (x * z). [para(3375(a,1),1115(a,1,1)),flip(a)]. 3391 T(x \ T(x * y,y),T(x * y,y)) = L(R(y,x * y,y),x * y,y). [para(3338(a,1),3387(a,1,1))]. 3392 ((x * y) / x) * T(((x * y) / x) \ x,y) = x * K(y \ (x * (T(x,y) \ x)),y). [para(3388(a,1),1074(a,2,2,1,2))]. 3393 x * R(1 / (1 / y),1 / y,(1 / y) \ x) = (1 / y) \ T(x,y). [para(69(a,1),3364(a,2,2,2))]. 3394 T(x,((x * y) \ x) \ K(y,x)) = K(y,x) \ x. [para(905(a,1),3381(a,1,2))]. 3395 ((L(x \ 1,x,y) \ 1) * y) / (L(x \ 1,x,y) \ 1) = y * K(x,y). [para(906(a,2),3288(a,2,2))]. 3396 T(x,T(y,y \ x) \ 1) != x * z | K(x,(y \ x) / x) = z. [para(3359(a,2),22(a,1))]. 3397 x \ T(x,T(y,z) \ 1) = T(x \ T(x,y \ 1),z). [hyper(189,a,3355,a(flip),b,3377,a),flip(a)]. 3398 x \ (y * (x / y)) != z | K(((y / x) \ 1) \ x,(y / x) \ 1) = z. [para(3386(a,1),336(a,1,2))]. 3399 T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = x \ T(x,R(z \ 1,z,y) \ 1). [para(2822(a,1),3397(a,1,2,2,1)),flip(a)]. 3400 L((T(x,T(y,x)) * z) / (x * z),T(y,x),x) = R((y * x) \ (x * y),x,z). [para(3294(a,1),716(a,1,1))]. 3401 K(x \ y,T(x,y)) = K(x \ y,x). [hyper(3335,a,3318,a),flip(a)]. 3402 K(x \ (x * y),x) = K(y,T(x,x * y)). [hyper(189,a,1215,a(flip),b,3401,a(flip))]. 3403 K(x,T(y,y * x)) = K(x,y). [hyper(189,a,1215,a(flip),b,3402,a(flip))]. 3405 R(x \ T(x,y \ 1),z,u) = x \ T(x,R(y,z,u) \ 1). [hyper(189,a,3355,a(flip),b,3380,a)]. 3406 ((x \ 1) * (y * x)) / (x \ 1) != z * x | (x \ 1) * (y / (x \ 1)) = z. [para(3275(a,1),453(a,1,1)),flip(b)]. 3407 (x * ((y \ x) * y)) / x != z * K(y \ x,y) | T(x,(y \ x) * y) = z. [para(3320(a,1),23(a,1))]. 3408 ((x \ 1) \ y) * (x \ 1) = (x * y) * (y / (x * y)). [para(16(a,1),3361(a,1,2,1)),flip(a)]. 3409 ((x \ 1) * y) * (y / ((x \ 1) * y)) = (x \ y) * x. [hyper(189,a,2538,a(flip),b,3408,a(flip))]. 3410 ((x \ 1) * y) * R(x,x \ 1,y) = (x \ y) * x. [para(139(a,2),3409(a,1,2))]. 3411 ((((x \ 1) * y) * x) / ((x \ 1) * y)) * (x \ 1) = ((x \ y) * x) / y. [hyper(76,a,3410,a(flip),b,669,a),flip(a)]. 3412 (x \ T(x,y \ 1)) * (y * z) = y * ((x \ T(x,y \ 1)) * z). [para(3355(a,1),3378(a,1,1))]. 3413 x * R(1 / (1 / y),y \ 1,(1 / y) \ x) = (1 / y) \ T(x,y). [para(2591(a,1),3393(a,1,2))]. 3414 K(x,((y \ 1) \ x) / x) = ((1 / y) \ x) \ ((1 / y) \ T(x,y)). [para(3413(a,1),3091(a,1,2)),flip(a)]. 3415 K(x \ ((x \ 1) \ y),x) = K(y,((x \ 1) \ y) / y). [hyper(189,a,3097,a(flip),b,3414,a),flip(a)]. 3416 (x * (T(x,y) \ x)) \ (x * z) = x * ((x * (T(x,y) \ x)) \ z). [para(3375(a,1),3390(a,1,2,1)),flip(a)]. 3417 x * ((x * (T(x,y) \ x)) \ ((T(x,y) \ x) * z)) = L(z,T(x,y) \ x,x). [hyper(355,a,3416,a),flip(a)]. 3418 T(K(x,y),x * K(z,x)) = K(x,y). [para(3395(a,1),2665(a,1,2))]. 3419 T(x * K(y,x),K(x,z)) = x * K(y,x). [hyper(38,a,3418,a)]. 3420 ((x \ 1) * y) \ T((x \ 1) * y,x) = ((x \ y) * x) / y. [hyper(189,a,3289,a(flip),b,3411,a(flip)),flip(a)]. 3421 L(K(x \ y,x),y,x \ 1) = ((x \ y) * x) / y. [hyper(189,a,1905,a(flip),b,3420,a(flip)),flip(a)]. 3422 ((x \ (x * y)) * x) / (x * y) = L(K(y,x),x * y,x \ 1). [para(16(a,1),3421(a,1,1,1)),flip(a)]. 3423 L(K(x,y),y * x,y \ 1) = (x * y) / (y * x). [para(16(a,1),3422(a,1,1,1)),flip(a)]. 3424 L(K(x,y),y * x,y \ 1) = T(y,(1 / y) * (x * y)) \ y. [hyper(189,a,3198,a(flip),b,3300,a(flip)),flip(a)]. 3425 L(K(x,y),y * x,y \ 1) = T(y,(y \ 1) * (x * y)) \ y. [para(2393(a,1),3424(a,2,1))]. 3426 T(x,(x \ 1) * (y * x)) \ x = (y * x) / (x * y). [hyper(189,a,3423,a(flip),b,3425,a(flip))]. 3427 x * (((y * x) / (x * y)) \ 1) = T(x,(x \ 1) * (y * x)). [para(3426(a,1),2848(a,1,2,1))]. 3428 x * L(x \ y,x,T(x,z) \ x) = L(y,T(x,z) \ x,x). [para(2780(a,1),3417(a,1,2))]. 3429 L((T(x,T(y,x)) * z) / (x * z),T(y,x),x) = R(K(x,y),x,z). [para(29(a,2),3400(a,2,1))]. 3430 R(x,y,T(K(z,z \ 1),y)) = R(x,K(z,z \ 1),y). [hyper(189,a,3264,a(flip),b,3248,a(flip))]. 3431 R(x,K(y,y \ 1),z) = R(x,z,K(y,y \ 1)). [para(2514(a,1),3430(a,1,3)),flip(a)]. 3432 R(x,y,K(z \ 1,(z \ 1) \ 1)) = R(x,K(z \ 1,z),y). [para(1538(a,1),3431(a,1,2)),flip(a)]. 3434 R(x,K(y \ 1,y),z) = R(x,z,K(y \ 1,y)). [para(1538(a,1),3432(a,1,3)),flip(a)]. 3435 T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = R(x \ T(x,(z \ 1) \ 1),z,y). [hyper(189,a,3405,a,b,3399,a)]. 3436 T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = R(x \ T(x,z),z,y). [para(2671(a,1),3435(a,2,1,2))]. 3437 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ x) * y) / ((1 / x) \ 1). [para(14(a,1),3278(a,2,1,1,2))]. 3438 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ x) * y) / x. [para(69(a,1),3437(a,2,2))]. 3439 x * K(y \ (x * (T(x,y) \ x)),y) = (x * (y * T(y \ x,y))) / x. [hyper(189,a,1580,a(flip),b,3392,a(flip))]. 3440 x * K(y \ (x * (T(x,y) \ x)),y) = (x * ((y \ x) * y)) / x. [para(113(a,1),3439(a,2,1,2))]. 3441 ((x * y) / x) * (y \ ((T(x,y) \ x) * z)) = L(z,T(x,y) \ x,(x * y) / x). [para(3290(a,1),3299(a,2,2))]. 3442 T((x \ 1) * (x * ((y * (x \ z)) / y)),y) != u | L((x \ 1) * z,K(x,x \ 1),y) = u. [para(3258(a,2),3217(a,1))]. 3443 T((x / y) * K(x,x \ 1),y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x. [para(2257(a,1),3385(a,1,1,1))]. 3444 T(((x \ 1) \ 1) / y,y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x. [para(3211(a,1),3443(a,1,1,1))]. 3445 (x \ ((y \ 1) \ 1)) * K(y \ 1,y) = (y \ (x \ T(y,x \ 1))) * y. [para(115(a,1),3444(a,1,1))]. 3446 (x \ ((y \ 1) \ 1)) * K(y \ 1,y) = ((x \ y) / y) * y. [para(3362(a,1),3445(a,2,1))]. 3447 (x \ ((y \ 1) \ 1)) * K(y \ 1,y) = x \ y. [hyper(189,a,19,a(flip),b,3446,a)]. 3448 (x \ y) * K(y,y \ 1) = x \ ((y \ 1) \ 1). [hyper(21,a,2325,a(flip),b,3446,a),flip(a)]. 3450 K(x \ 1,x) * (y \ ((x \ 1) \ 1)) = y \ x. [hyper(2477,a,3447,a)]. 3452 (x \ ((y \ 1) \ 1)) * (y \ 1) = (x \ y) * (1 / y). [para(3447(a,1),2284(a,1,1)),flip(a)]. 3453 (x \ y) * K(y,y \ 1) = x \ T(y,y \ 1). [hyper(189,a,318,a,b,3448,a)]. 3454 K(x,x \ 1) * (y \ x) = y \ T(x,x \ 1). [hyper(2523,a,3453,a)]. 3455 K(x \ 1,x) * ((y * ((1 / x) * z)) / ((x \ 1) * z)) = R(y,K(x \ 1,x),(1 / x) * z). [hyper(189,a,3185,a(flip),b,3229,a(flip)),flip(a)]. 3456 (1 / (x \ 1)) / T(y,y \ T(x,x \ 1)) = (y \ ((x \ 1) \ 1)) * K(x \ 1,x). [para(1538(a,1),3213(a,2,2))]. 3457 x / T(y,y \ T(x,x \ 1)) = (y \ ((x \ 1) \ 1)) * K(x \ 1,x). [para(67(a,1),3456(a,1,1))]. 3458 x / T(y,y \ T(x,x \ 1)) = y \ x. [hyper(189,a,3447,a(flip),b,3457,a)]. 3459 (1 / x) / T(y,y \ (x \ 1)) = y \ (1 / x). [para(497(a,1),3458(a,1,2,2,2))]. 3460 (1 / (1 / x)) / T(y,y \ x) = y \ (1 / (1 / x)). [para(228(a,1),3458(a,1,2,2,2))]. 3461 K(x \ 1,x) * (y \ x) = y \ (1 / (1 / x)). [hyper(189,a,3226,a(flip),b,3460,a(flip)),flip(a)]. 3462 (x \ (1 / (1 / y))) * K(y,y \ 1) = x \ y. [hyper(2494,a,3461,a)]. 3463 K(x,x \ 1) * ((y \ (1 / (1 / x))) * z) = (y \ x) * z. [para(3462(a,1),3239(a,1,1)),flip(a)]. 3464 x * K(y \ (1 / (1 / x)),y) = (y \ x) * y. [hyper(189,a,2413,a(flip),b,3463,a(flip)),flip(a)]. 3465 ((x \ y) * x) * (y \ 1) = ((x \ y) * x) / y. [para(3464(a,1),3438(a,1,1))]. 3466 (x * ((y / (z * (u \ y))) / x)) * (z * (u \ y)) = ((x * ((u / z) / x)) * z) * (u \ y). [hyper(204,a,3276,a),flip(a)]. 3467 ((x * ((x / y) / x)) * y) * (x \ z) = x * ((x \ T(x,y \ 1)) * (x \ z)). [hyper(189,a,3379,a(flip),b,3466,a(flip))]. 3468 x * ((x \ T(x,y \ 1)) * (x \ z)) = T(x,y \ 1) * (x \ z). [para(3352(a,1),3467(a,1,1)),flip(a)]. 3469 T(x,(y \ 1) \ 1) * (x \ z) = x * ((x \ T(x,y)) * (x \ z)). [para(2671(a,1),3468(a,1,2,1,2)),flip(a)]. 3470 x * ((x \ T(x,y)) * (x \ z)) = T(x,y) * (x \ z). [para(2671(a,1),3469(a,1,1)),flip(a)]. 3471 T(x,y) * (x \ (x * z)) = x * ((x \ T(x,y)) * z). [para(16(a,1),3470(a,1,2,2)),flip(a)]. 3472 x * ((x \ T(x,y)) * z) = T(x,y) * z. [para(16(a,1),3471(a,1,2)),flip(a)]. 3474 L(x,y \ T(y,z),y) = x. [hyper(404,a,3472,a)]. 3475 (T(x,y) * z) / ((x \ T(x,y)) * z) = x. [hyper(88,a,3472,a)]. 3476 (x \ T(x,y)) * z = T(x,y) * (x \ z). [hyper(20,a,974,a,b,3472,a)]. 3477 (x \ T(x,y)) * (x * z) = T(x,y) * z. [hyper(20,a,979,a(flip),b,3472,a)]. 3479 x * ((T(y,x) \ y) * z) = T(x,T(y,x)) * z. [para(3284(a,2),3472(a,1,2,1))]. 3483 L(x,T(y,T(z,y)) \ y,z) = x. [para(3298(a,2),3474(a,1,2))]. 3484 L(x,T(y,z) \ y,(y * z) / y) = x. [para(142(a,1),3483(a,1,2,1,2))]. 3485 x \ ((T(y,x) \ y) * z) = ((y * x) / y) \ z. [hyper(75,a,3484,a(flip),b,3441,a),flip(a)]. 3486 R(x,x \ T(x,y),z) = x. [hyper(588,a,3475,a)]. 3487 R(x,x \ (K(y,x) \ x),z) = x. [para(3381(a,1),3486(a,1,2,2))]. 3488 R(x,K(y,x) \ 1,z) = x. [para(3063(a,1),3487(a,1,2))]. 3489 x \ ((K(y,x) \ x) * z) = (K(y,x) \ 1) * z. [para(3488(a,1),3067(a,1,1))]. 3490 T(x,y \ 1) * (x \ (y * z)) = y * ((x \ T(x,y \ 1)) * z). [hyper(189,a,3412,a(flip),b,3476,a(flip))]. 3491 T(x,y) * (x \ (z * K(x \ 1,x))) = ((x \ 1) * T(x,y)) * z. [hyper(189,a,3040,a(flip),b,3476,a(flip))]. 3493 (T(x,y) * z) / (x * z) = x \ T(x,y). [hyper(88,a,3477,a)]. 3494 (x \ T(x,y)) \ (T(x,y) * z) != u | x * z = u. [para(3477(a,1),237(a,1,2)),flip(b)]. 3495 R(x \ T(x,y),x,z) = x \ T(x,y). [hyper(2814,a,3493,a)]. 3496 R(K(x,y),x,z) = L(x \ T(x,T(y,x)),T(y,x),x). [para(3493(a,1),3429(a,1,1)),flip(a)]. 3498 (x * T(x \ y,z)) / y = (y / x) \ T(y / x,z). [hyper(189,a,2898,a(flip),b,3495,a(flip)),flip(a)]. 3500 (T(x,y) \ x) * (x * y) = y * x. [hyper(20,a,3329,a(flip),b,3479,a)]. 3501 K(x,y) = T(T(y,x) \ y,y * x). [hyper(147,a,3500,a,b,95,a),flip(a)]. 3502 (x * y) / (y * x) = T(y,x) \ y. [hyper(88,a,3500,a)]. 3504 T(x / y,y) \ (x / y) = (y * (x / y)) / x. [para(19(a,1),3502(a,1,2)),flip(a)]. 3505 T(x,y) = x * (((y * x) / (x * y)) \ 1). [para(3502(a,2),2848(a,1,2,1)),flip(a)]. 3506 T(x,(x \ 1) * (y * x)) = T(x,y). [hyper(189,a,3427,a(flip),b,3505,a),flip(a)]. 3507 T(x,y * x) = T(x,x * y). [para(482(a,1),3506(a,1,2))]. 3508 T(x,(x \ y) * x) = T(x,y). [para(486(a,1),3506(a,1,2))]. 3509 T(x,T((x \ 1) * y,x)) = T(x,x \ y). [para(1903(a,1),3506(a,1,2))]. 3510 T(x,x * (y / x)) = T(x,y). [para(19(a,1),3507(a,1,2)),flip(a)]. 3511 T(T(x,x * y),z) = T(T(x,z),y * x). [para(3507(a,1),41(a,1,1))]. 3512 x * T(y,x * y) = L(y,x,y) * x. [para(3507(a,2),559(a,1,2))]. 3513 R(T(x,x * y),y,x) = T(x,y). [para(3507(a,1),615(a,1,1))]. 3514 x * L(T(y,x * y),z,u) = L(L(y,x,y),z,u) * x. [para(3507(a,2),562(a,1,2,1))]. 3515 K(x,T(y,x * y)) = K(x,y). [para(3507(a,2),3403(a,1,2))]. 3516 ((x \ y) * x) * T(x,y) = x * ((x \ y) * x). [para(3508(a,1),113(a,1,2))]. 3517 R(T(x,y),x \ y,x) = T(x,x \ y). [para(3508(a,1),615(a,1,1))]. 3518 (x * ((x \ y) * x)) / x = (x \ y) * T(x,y). [para(3508(a,1),1467(a,2,2))]. 3519 T((x \ y) * T(x,y),x) = (x \ y) * x. [para(3508(a,1),1480(a,1,1,2))]. 3520 K(x,T(x \ y,y)) = K(x,x \ y). [para(17(a,1),3515(a,1,2,2))]. 3521 T(x,T(y,x)) = T(x,y). [hyper(189,a,3370,a(flip),b,3513,a(flip)),flip(a)]. 3522 (x / T(y,x)) * y = T(x,y). [hyper(189,a,3337,a(flip),b,3513,a(flip)),flip(a)]. 3523 T(x,y) / y = x / T(y,x). [hyper(76,a,3513,a(flip),b,3337,a(flip))]. 3524 R(x,y,x) * (x * y) = (x * y) * T(x,y). [para(3513(a,1),160(a,1,2)),flip(a)]. 3525 x * (T(x,y) \ y) = T(y,x). [hyper(1060,a,3521,a)]. 3528 T(x,y) \ (x * y) = T(y,x). [hyper(316,a,3521,a)]. 3529 T(x,y) \ y = x \ T(y,x). [hyper(75,a,3521,a(flip),b,1008,a),flip(a)]. 3530 T(T(x,y),T(z,x)) = T(T(x,z),y). [para(3521(a,1),41(a,1,1)),flip(a)]. 3531 T(x,T(T(y,x),z)) = T(x,T(y,z)). [para(41(a,1),3521(a,1,2))]. 3532 T(L(x,y,z),T(u,x)) = L(T(x,u),y,z). [para(3521(a,1),43(a,1,1)),flip(a)]. 3533 T(x,y / x) = T(x,x \ y). [para(115(a,1),3521(a,1,2)),flip(a)]. 3534 T(x,y) * L(T(y,x),z,u) = L(y,z,u) * T(x,y). [para(3521(a,1),159(a,1,2,1))]. 3535 T(x,y) * R(T(y,x),z,u) = R(y,z,u) * T(x,y). [para(3521(a,1),160(a,1,2,1))]. 3536 T((x \ y) \ y,T(z,x)) = T(T(x,z),x \ y). [para(3521(a,1),221(a,1,1)),flip(a)]. 3537 T(x,y) * T(T(y,x),z) != u | T(y,z) * T(x,y) = u. [para(3521(a,1),302(a,1,2,1))]. 3538 T(x,y) * R(T(T(y,x),z),u,w) = R(T(y,z),u,w) * T(x,y). [para(3521(a,1),509(a,1,2,1,1))]. 3539 T(x \ y,x) != z | T(x,x \ y) \ y = z. [para(3521(a,1),317(a,1))]. 3540 T(x \ y,x) != z | ((x \ y) \ y) \ y = z. [para(3521(a,1),435(a,1))]. 3542 T(x,y) \ x = y \ T(y,x). [para(3521(a,1),3284(a,2,2))]. 3543 T(x * (T(x,y) \ x),y) = x. [para(3521(a,1),3311(a,1,1,2,1))]. 3544 (x * y) / x = y * (T(y,x) \ y). [para(3521(a,1),3304(a,2,2,1))]. 3545 T(x,y) * (y * x) = x * (x * y). [para(3521(a,1),3329(a,1,1))]. 3546 x * ((T(y,x) \ y) * z) = T(x,y) * z. [para(3521(a,1),3479(a,2,1))]. 3547 T(x,y) / T(y,x) = x / T(T(y,x),x). [hyper(76,a,3521,a(flip),b,3522,a)]. 3548 T(x,y) = (x * (x * y)) / (y * x). [hyper(189,a,1512,a,b,3522,a(flip))]. 3549 (x * y) / T(y,x) = T(x,y). [hyper(189,a,1483,a,b,3522,a(flip)),flip(a)]. 3550 T(x,y) != z * y | x / T(y,x) = z. [para(3522(a,1),23(a,1))]. 3551 T(x,y) * T(y,x) = x * y. [para(3522(a,1),1484(a,1,1))]. 3552 ((x * (y / x)) / T(x,y)) * x = T(x * (y / x),x). [para(3510(a,1),3522(a,1,1,2))]. 3553 (T(x,y) / y) \ x = T(y,x). [para(3523(a,2),69(a,1,1))]. 3554 K(x \ 1,x) * T(y,(x \ 1) \ 1) = x * (T((x \ 1) \ 1,y) \ y). [para(3525(a,1),2443(a,1,2))]. 3555 T(x,y) = (x \ (y * x)) \ (y * x). [para(35(a,1),3528(a,1,1)),flip(a)]. 3556 x * T(y,z) != z * y | T(z,y) = x. [para(3528(a,1),87(a,1,2)),flip(b)]. 3557 T(x,y) * (x \ T(y,x)) = y. [para(3529(a,1),17(a,1,2))]. 3558 (T(x,y) * ((x \ T(y,x)) * z)) \ (y * z) = a(T(x,y),T(x,y) \ y,z). [para(3529(a,1),93(a,1,1,2,1))]. 3559 T((x \ y) * x,x) = (T(x,y) \ y) * x. [para(3529(a,2),1172(a,2,1))]. 3560 T(x,y / x) = (x \ y) \ y. [hyper(189,a,114,a(flip),b,3533,a)]. 3561 R(T(x,y),y / x,x) = T(x,x \ y). [hyper(189,a,618,a,b,3533,a(flip)),flip(a)]. 3562 (x / y) * T(y,y \ x) = y * (x / y). [para(3533(a,1),113(a,1,2))]. 3563 x / T(y,x / y) = y \ x. [para(3533(a,2),174(a,1,2))]. 3565 (x * (y / x)) * x = y * T(x,x \ y). [para(3533(a,1),622(a,2,2))]. 3566 (x * y) \ (y * T(x,x \ y)) = a(x,y / x,x). [para(3533(a,1),701(a,1,2,2))]. 3567 K(x \ (x / y),x) = T(x,y \ 1) \ x. [hyper(189,a,2641,a,b,3542,a),flip(a)]. 3568 T(x,y \ 1) \ x = y * T(y \ 1,x). [hyper(189,a,2638,a(flip),b,3542,a)]. 3571 T(x,y) * (x \ z) = (T(y,x) \ y) * z. [para(3542(a,2),3476(a,1,1)),flip(a)]. 3572 K(x,y) = T(x \ T(x,y),y * x). [para(3542(a,1),3501(a,2,1))]. 3573 T(x / (x / y),y \ x) = y. [para(3374(a,2),3543(a,1,1))]. 3574 T(T(x,y),T(y,x)) != z | T(y,x) \ (x * y) = z. [para(3549(a,1),307(a,1,1))]. 3575 (T(x,y) * (y * x)) / T(x,y) = T(y,x) * T(T(x,y),y * x). [para(3549(a,1),1463(a,1,1)),flip(a)]. 3576 (T(x,y) * (T(y,x) * z)) \ ((x * y) * z) = a(T(x,y),T(y,x),z). [para(3551(a,1),27(a,2,2,1)),flip(a)]. 3577 (x * y) \ (T(x,y) * (T(y,x) * z)) = L(z,T(y,x),T(x,y)). [para(3551(a,1),31(a,2,1)),flip(a)]. 3579 R(x,T(y,z),T(z,y)) * (y * z) = (x * T(y,z)) * T(z,y). [para(3551(a,1),110(a,1,2))]. 3580 x / T(y,x) != z | T(x,y) / y = z. [para(3553(a,1),246(a,1,2)),flip(b)]. 3581 T(x,y) * (x \ T(x * (y / x),x)) = x * (y / x). [para(3510(a,1),3557(a,1,1))]. 3584 (x * (y / x)) * x = y * ((x \ y) \ y). [para(3560(a,1),622(a,2,2))]. 3585 x / T(y \ x,y) = (y \ x) \ x. [para(67(a,1),3563(a,1,2,2))]. 3586 T(T(x / (x / y),z),y \ x) = T(y,z). [para(3573(a,1),41(a,1,1)),flip(a)]. 3588 (x / (x / y)) * (y \ x) = (y \ x) * y. [para(3573(a,1),113(a,1,2)),flip(a)]. 3589 ((x \ y) * x) / (x \ y) = y / (y / x). [para(3573(a,1),143(a,1,1,2))]. 3591 T((T(x,y) * y) / T(x,y),x) = y. [para(3544(a,2),3311(a,1,1))]. 3592 (x * (x * y)) \ ((x * y) * x) = K(y * x,T(x,y)). [para(3545(a,1),623(a,1,1))]. 3593 x \ T(x,T(y,(y \ 1) * x) \ 1) = K(x,y \ 1). [hyper(189,a,3397,a,b,3572,a),flip(a)]. 3594 T(x,T(y,x)) != z | T(x,y) = z. [para(3591(a,1),548(a,1,1))]. 3595 ((x * (y * x)) / x) / y = L(x,y,x). [hyper(1482,a,3512,a)]. 3596 (x * (y * x)) / x = L(x,y,x) * y. [hyper(1481,a,3512,a)]. 3597 T((x * y) / x,x * y) = L(y,x,y). [hyper(331,a,3512,a)]. 3598 T(L(x,y,x) * y,x) = y * x. [para(3512(a,1),1480(a,1,1))]. 3599 (L(x,y,x) * y) * x = x * (y * x). [para(3598(a,1),113(a,1,2)),flip(a)]. 3601 T(x,L(x,y,x) * y) = T(x,y * x). [para(3598(a,1),3521(a,1,2)),flip(a)]. 3602 T((x * y) / x,L(x,y,x)) = y. [hyper(1273,a,3596,a)]. 3603 T(x,L(y,x,y)) = T(x,y). [para(3602(a,1),176(a,1,1)),flip(a)]. 3604 L(x,y,x) * T(y,x) = y * L(x,y,x). [para(3603(a,1),113(a,1,2))]. 3606 L(R(x,y,x),y,x) = x. [hyper(814,a,3599,a)]. 3607 T(x \ T(x * y,y),T(x * y,y)) = y. [hyper(189,a,3391,a,b,3606,a(flip)),flip(a)]. 3608 T(x,L(x,y,x) * y) = T(x,x * y). [hyper(189,a,3507,a(flip),b,3601,a)]. 3609 R(T(x,x * y),y,T(x,x * y)) = T(x,y). [para(3608(a,1),1492(a,1,1))]. 3610 T(x,(x \ 1) * y) = T(x,x \ y). [hyper(3594,a,3509,a)]. 3611 T(x,(1 / x) * y) = T(x,x \ y). [hyper(189,a,2393,a,b,3610,a(flip)),flip(a)]. 3612 T(x \ 1,(x \ 1) \ y) = T(x \ 1,x * y). [hyper(189,a,2394,a(flip),b,3610,a(flip))]. 3613 T(x,x \ ((x \ 1) \ y)) = T(x,y). [para(17(a,1),3610(a,1,2)),flip(a)]. 3614 T(x,x \ ((1 / x) \ y)) = T(x,y). [para(17(a,1),3611(a,1,2)),flip(a)]. 3615 T((x \ 1) \ y,T(x,y)) = T((x \ 1) \ y,x). [para(3613(a,1),3331(a,1,2))]. 3616 (x \ ((1 / x) \ y)) * T(x,y) = (1 / x) \ y. [para(3614(a,1),145(a,1,2))]. 3617 T(x,R(y,x,x \ 1)) = T(x,y). [para(851(a,1),3614(a,1,2))]. 3618 T(x,y * (x \ 1)) = T(x,y / x). [para(445(a,1),3617(a,1,2))]. 3619 T(x,y * (x \ 1)) = T(x,x \ y). [hyper(189,a,3533,a(flip),b,3618,a)]. 3620 T(T(x,y),(z \ 1) * x) = T(T(x,z \ x),y). [para(1570(a,1),3511(a,1,1)),flip(a)]. 3621 (x * ((x \ y) * x)) / x != z | (x \ y) * T(x,y) = z. [para(3519(a,1),250(a,1,1,2)),flip(b)]. 3622 T(x,(x \ y) * T(x,y)) = T(x,(x \ y) * x). [para(3519(a,1),3521(a,1,2)),flip(a)]. 3623 (T(x,y / z) \ x) * y = z * T(z \ y,x). [hyper(20,a,1062,a,b,3546,a)]. 3624 (x * (x * (T(x,y) \ y))) / T((x \ y) * x,x) = T(x,T(x,y) \ y). [para(3559(a,2),3548(a,2,2)),flip(a)]. 3625 (x / T(y,x)) * T(y,y \ T(x,y)) = y * (T(x,y) / y). [para(3523(a,1),3562(a,1,1))]. 3626 (x * T(y,y \ x)) / T(y,z) = ((y * (x / y)) / T(y,z)) * y. [hyper(76,a,3565,a(flip),b,1484,a)]. 3627 K(x \ (x / y),x) \ x = T(x,y \ 1). [para(3567(a,2),2746(a,1,1))]. 3628 K(x,y) = T(y,((y * x) \ y) \ 1) \ y. [hyper(189,a,903,a,b,3568,a),flip(a)]. 3629 (T(x,y \ 1) \ x) \ (y * (T(y \ 1,x) * z)) = L(z,T(y \ 1,x),y). [para(3568(a,2),31(a,2,1)),flip(a)]. 3630 x * (T(x,y \ 1) \ x) = y * ((x \ (y \ x)) * x). [para(3568(a,2),2795(a,2,2)),flip(a)]. 3631 x * ((y \ x) \ x) = (y \ 1) \ x. [hyper(748,a,3584,a),flip(a)]. 3633 ((x / y) \ 1) \ x = x * (y \ x). [para(69(a,1),3631(a,1,2,1)),flip(a)]. 3634 (x * (y \ x)) / (x / y) = (x / y) * (x / (x / y)). [hyper(76,a,3633,a(flip),b,485,a)]. 3635 x / (x * (y \ x)) = (x / y) \ 1. [para(3633(a,1),67(a,1,2))]. 3636 (x / (x / y)) \ 1 = x / (x * y). [para(69(a,1),3635(a,1,2,2)),flip(a)]. 3637 1 / (x / (x * y)) = x / (x / y). [para(3636(a,1),67(a,1,2))]. 3638 x / (x / (x \ y)) = 1 / (x / y). [para(17(a,1),3637(a,1,2,2)),flip(a)]. 3639 (x / (x / y)) \ 1 != z | x / (x * y) = z. [para(3637(a,1),236(a,1,1)),flip(b)]. 3640 (1 / (x / y)) \ x = x / (x \ y). [para(3638(a,1),69(a,1,1))]. 3641 x / (x \ (y \ x)) = (1 / y) \ x. [para(67(a,1),3640(a,1,1,2)),flip(a)]. 3642 (x * (y \ x)) / (x / y) = (y \ x) * y. [hyper(189,a,1525,a,b,3588,a(flip)),flip(a)]. 3643 T(x / (x / y),x) = L(y,y \ x,y). [para(3589(a,1),565(a,1,1))]. 3644 T(T(x / (x / y),x),z) = L(T(y,z),y \ x,y). [para(3643(a,2),43(a,2,1)),flip(a)]. 3645 x * T(x / (x / y),x) = y * ((y \ x) * y). [para(3643(a,2),344(a,1,2))]. 3646 x * T(y,z) != y * L(z,y,z) | L(z,y,z) = x. [para(3604(a,1),23(a,1)),flip(a)]. 3648 T(x,x \ T(x * y,y)) = T(x,y). [para(3607(a,1),3332(a,1,2)),flip(a)]. 3649 K(x,x \ T(x * y,y)) = K(x,y). [para(3607(a,1),3520(a,1,2)),flip(a)]. 3650 K(x,y) = (x * R(y,x,y)) \ T(x * y,y). [hyper(189,a,3384,a,b,3649,a(flip))]. 3651 T(x,(y \ x) \ 1) = K(x \ y,x) \ x. [para(67(a,1),3627(a,1,1,1,2)),flip(a)]. 3652 K(x \ y,x) \ x = x * K(x,y / x). [hyper(3349,a,3651,a),flip(a)]. 3653 K(x \ y,x) \ 1 = K(x,y / x). [hyper(3066,a,3652,a)]. 3654 K(x,(x * y) / x) = K(y,x) \ 1. [para(16(a,1),3653(a,1,1,1)),flip(a)]. 3655 K(T(x,y),y) = K(y,x) \ 1. [hyper(189,a,3369,a,b,3654,a(flip)),flip(a)]. 3656 K(T(x,y),y) \ 1 = K(y,x). [para(143(a,1),3654(a,1,2)),flip(a)]. 3657 K(T(x,y),y) * K(y,x) = 1. [para(3656(a,1),17(a,1,2))]. 3658 R(x,K(x,y),z) = x. [para(3656(a,1),3488(a,1,2))]. 3659 (R(x,y,z) * K(x,u)) * w = R(x,y,z) * (K(x,u) * w). [para(3658(a,1),382(a,1,1,1)),flip(a)]. 3661 (x * K(x,y)) * y = x * (y * K(x,y)). [para(3658(a,1),2769(a,1,1)),flip(a)]. 3662 K(T(x,y),y) \ 1 != z | K(y,x) = z. [para(3657(a,1),237(a,1,2)),flip(b)]. 3663 K(x \ y,x) \ 1 != z | K(x,y / x) = z. [para(115(a,1),3662(a,1,1,1))]. 3664 K(T(x,T(y,x)),T(y,x)) != z | K(x,y) = z. [para(3655(a,2),3662(a,1))]. 3665 R(x,y,T(x,y)) = R(x,y,x). [hyper(21,a,383,a,b,3524,a),flip(a)]. 3666 ((x * y) * T(x,y)) / (x * y) != z | R(x,y,x) = z. [para(3524(a,1),248(a,1,1)),flip(b)]. 3667 x \ T(y * x,y) = R(y,x,y). [hyper(1055,a,3665,a)]. 3668 x * R(y,x,y) = T(y * x,y). [para(3665(a,1),1054(a,1,2))]. 3669 R(x,T(y,x),T(x,y)) = R(x,T(y,x),x). [para(3521(a,1),3665(a,1,3))]. 3670 R(x,x \ y,x) = (x \ y) \ T(y,x). [para(17(a,1),3667(a,1,2,1)),flip(a)]. 3671 (x * y) \ (x * T(z * y,z)) = L(R(z,y,z),y,x). [para(3667(a,1),104(a,1,1)),flip(a)]. 3672 x \ T(y * x,y) != z | R(y,x,y) = z. [para(3668(a,1),237(a,1,2)),flip(b)]. 3673 T(x * y,x) * T(x,y) = (x * y) * R(x,y,x). [para(3668(a,1),1666(a,1,1))]. 3674 R(x \ y,(x \ y) \ (y / (y / x)),x \ y) = ((x \ y) \ (y / (y / x))) \ x. [para(3573(a,1),3670(a,2,2))]. 3675 T(x,x \ T(x * y,y)) \ T(x * y,y) = R(y,x,y). [hyper(3539,a,3382,a)]. 3676 K(x,y) = T(y * x,y) \ T(x * y,y). [para(3668(a,1),3650(a,2,1))]. 3677 K(x \ T(x * y,x),x) = K(y,x). [hyper(189,a,1183,a(flip),b,3676,a),flip(a)]. 3678 K(x \ T(y,x),x) = K(x \ y,x). [para(17(a,1),3677(a,1,1,2,1))]. 3679 K(x \ ((x * y) / x),x) = K(x \ y,x). [para(142(a,1),3678(a,1,1,2)),flip(a)]. 3680 K(T(x,y) \ y,x) = K(x \ y,x). [para(3529(a,2),3678(a,1,1))]. 3681 L(x \ T(x,T(y,x)),T(y,x),x) != z | K(x,y) = z. [para(3368(a,2),3664(a,1))]. 3682 x * (((y * x) / y) \ z) = (T(y,x) \ y) * z. [para(3485(a,1),17(a,1,2))]. 3683 x \ (y * (T(y,x) \ y)) = ((y * x) / y) \ y. [para(2748(a,1),3485(a,1,2))]. 3684 x * ((K(y,x) \ 1) * z) = (K(y,x) \ x) * z. [para(3489(a,1),17(a,1,2))]. 3685 (x * (y / x)) / y = (x \ y) \ (y / x). [para(115(a,1),3504(a,1,1)),flip(a)]. 3686 (x * (y / x)) / y = x \ ((x \ y) \ y). [hyper(3339,a,3685,a(flip)),flip(a)]. 3687 x \ ((x \ (y \ x)) \ (y \ x)) = x \ T(x,y \ 1). [hyper(189,a,3376,a(flip),b,3686,a(flip))]. 3688 ((x \ 1) * (x \ T(x * y,x \ 1))) / (x \ 1) = ((x \ 1) \ y) * T(x \ 1,y). [para(768(a,2),3518(a,1,1,2))]. 3689 T(x \ 1,x * y) = ((x \ 1) \ y) \ y. [hyper(315,a,3612,a),flip(a)]. 3691 ((x \ 1) \ (x \ y)) \ (x \ y) = T(x \ 1,y). [para(17(a,1),3689(a,1,2)),flip(a)]. 3692 T(T(x,y),(z \ 1) * x) = T(T(x,y),z \ x). [hyper(189,a,41,a,b,3620,a)]. 3693 T(x,(x \ y) * T(x,y)) = T(x,y). [hyper(189,a,3508,a(flip),b,3622,a)]. 3694 R(T(x,y),x \ y,T(x,y)) = T(x,x \ y). [para(3693(a,1),1487(a,1,1))]. 3695 R(x \ T(x,y),y,((x * y) / x) \ z) \ z = (T(x,y) \ x) * z. [hyper(189,a,3296,a,b,3682,a(flip)),flip(a)]. 3696 x * K(((x * y) / x) \ x,y) = (x * ((y \ x) * y)) / x. [para(3683(a,1),3440(a,1,2,1))]. 3697 ((x * y) / x) \ x = y \ ((y * x) / y). [para(3544(a,2),3683(a,1,2)),flip(a)]. 3698 K(((x * y) / x) \ x,y) = K(y \ x,y). [para(3697(a,2),3679(a,1,1))]. 3699 (K(x,y) \ y) * z != y * u | (K(x,y) \ 1) * z = u. [para(3684(a,1),22(a,1))]. 3700 (x \ T(x,y)) \ z != u | x * (T(x,y) \ z) = u. [para(17(a,1),3494(a,1,2))]. 3702 T(x,y) \ (y * x) = T(T(y,x),x). [hyper(3574,a,3530,a)]. 3703 T(x,y) * T(T(y,x),x) = y * x. [para(3702(a,1),17(a,1,2))]. 3704 L(T(x,y),z,u) \ (y * L(x,z,u)) = T(T(y,L(x,z,u)),L(x,z,u)). [para(43(a,2),3702(a,1,1))]. 3705 R(K(x,y),x,z) = K(x,y). [hyper(189,a,3344,a,b,3496,a)]. 3707 (K(x,y) * x) * z = K(x,y) * (x * z). [para(3705(a,1),110(a,1,1)),flip(a)]. 3708 L(x,y,K(y,z)) = x. [hyper(346,a,3707,a)]. 3709 (x * K(x,y)) * z = K(x,y) * (x * z). [para(2650(a,1),3707(a,1,1))]. 3711 L(x,y,K(y,z)) = 1 * x. [hyper(189,a,14,a,b,3708,a)]. 3714 L(x,y,K(y,z)) != u | u = x. [para(3711(a,2),77(a,1))]. 3715 K(x,y) * (x * y) = x * (y * K(x,y)). [hyper(189,a,3661,a(flip),b,3709,a(flip))]. 3716 K(x,y) \ (x * (y * K(x,y))) != y * z | T(x,y) = z. [para(3715(a,1),291(a,1,2))]. 3717 ((x \ y) / y) \ T((x \ y) / y,z) = x * T(x \ 1,z). [hyper(917,a,3498,a),flip(a)]. 3719 T(x,y) * T(y,y * x) = L(y,x,y) * T(x,y). [para(554(a,1),3534(a,1,2))]. 3720 T(x,y) * T(y,y * x) = x * L(y,x,y). [hyper(189,a,3604,a(flip),b,3719,a)]. 3722 T(x,y) * T(y,x * y) = x * L(y,x,y). [para(3507(a,2),3720(a,1,2))]. 3723 L(x,T(y,x),x) * T(y,x) = y * L(x,y,x). [hyper(189,a,564,a,b,3722,a(flip)),flip(a)]. 3724 L(x,T(y,x),x) = L(x,y,x). [hyper(3646,a,3723,a),flip(a)]. 3725 T(x * L(y,x,y),y) = T(x,y) * y. [para(3723(a,1),3598(a,1,1))]. 3726 ((x * (y * x)) / x) / y = L(x,T(y,x),x). [hyper(189,a,3595,a,b,3724,a),flip(a)]. 3727 L(x,T(y,y * x),x) = L(x,L(y,x,y),x). [para(557(a,1),3724(a,1,2))]. 3728 (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(3535(a,1),150(a,1,1,2))]. 3729 R(x,y,x) * T(x * y,x) = T(x * y,x) * T(x,y). [para(3513(a,1),3535(a,1,2)),flip(a)]. 3730 R(x,x \ y,x) * T(y,x) = T(y,x) * T(x,x \ y). [para(3517(a,1),3535(a,1,2)),flip(a)]. 3731 R(x,y / x,x) * T(y,x) = T(y,x) * T(x,x \ y). [para(3561(a,1),3535(a,1,2)),flip(a)]. 3732 T(x,y) * (T(y,x) / x) = x * (y / x). [para(1178(a,1),3581(a,1,2))]. 3733 T(x,y) * (y / T(x,y)) = x * (y / x). [para(3523(a,1),3732(a,1,2))]. 3734 K(x * y,T(y,x)) = K(y * x,y). [hyper(240,a,3592,a),flip(a)]. 3735 K(x * y,T(y,x)) != z | K(y * x,y) = z. [para(3592(a,1),240(a,1))]. 3736 x \ T(x,T(y,y \ x) \ 1) = K(x,y \ 1). [para(3610(a,1),3593(a,1,2,2,1))]. 3737 T(x,T(y,y \ x) \ 1) = x * K(x,y \ 1). [para(3736(a,1),17(a,1,2)),flip(a)]. 3738 K(x,(y \ x) / x) = K(x,y \ 1). [hyper(3396,a,3737,a)]. 3739 K(x \ ((x \ 1) \ y),x) = K(y,(x \ 1) \ 1). [hyper(189,a,3415,a,b,3738,a(flip)),flip(a)]. 3740 K(x \ ((x \ 1) \ y),x) = K(y,x). [hyper(189,a,3081,a(flip),b,3739,a)]. 3741 K(x \ ((1 / x) \ y),x) = K(y,x). [hyper(189,a,3096,a,b,3740,a(flip)),flip(a)]. 3742 K((1 / x) * y,x) = K(x \ y,x). [para(16(a,1),3741(a,1,1,2)),flip(a)]. 3743 K((x \ 1) \ y,x \ 1) = K(x * y,x \ 1). [para(67(a,1),3742(a,1,1,1)),flip(a)]. 3744 (x / y) * (x / (x / y)) = (y \ x) * y. [hyper(189,a,3642,a(flip),b,3634,a(flip))]. 3745 ((x \ y) * x) * x = y * (y / (y / x)). [para(3744(a,1),1603(a,1,1))]. 3746 ((x \ T(y,x)) * T(x,y)) * T(x,y) = y * (y / (y / T(x,y))). [para(3529(a,1),3745(a,1,1,1))]. 3747 R(K(x,y),x,z) != u | K(x,y) = u. [para(3496(a,2),3681(a,1))]. 3748 (x \ T(x,y \ 1)) * x = T(x,x \ (y \ x)). [para(3687(a,1),2812(a,1,1))]. 3749 T(x,x \ (y \ x)) = T(x,y \ 1). [hyper(2803,a,3748,a),flip(a)]. 3750 T(x * y,(x * y) \ y) = T(x * y,x \ 1). [para(16(a,1),3749(a,1,2,2))]. 3751 T(x,(x / y) \ 1) = T(x,x \ y). [para(69(a,1),3749(a,1,2,2)),flip(a)]. 3752 (x \ (y \ x)) * T(x,y \ 1) = y \ x. [para(3749(a,1),145(a,1,2))]. 3754 (x / y) \ T(x,x \ y) = x * (y / x). [para(3751(a,1),3363(a,1,2))]. 3755 (x \ ((y \ 1) \ x)) * T(x,y) = (y \ 1) \ x. [para(2671(a,1),3752(a,1,2))]. 3756 (x * T(x \ (T(x,x \ y) * y),z)) / y = (x / y) * T(x * (y / x),z). [para(3754(a,1),1458(a,2,2,1))]. 3757 T(x * y,x \ 1) = ((x * y) \ y) \ y. [hyper(315,a,3750,a),flip(a)]. 3758 x / T(y * x,y \ 1) = (y * x) \ x. [para(3750(a,1),174(a,1,2))]. 3759 T((x \ 1) * y,x) = (((x \ 1) * y) \ y) \ y. [hyper(189,a,2671,a(flip),b,3757,a(flip)),flip(a)]. 3760 T(L(L(x,y,x),z,u) * y,x) = L(x,z,u) * T(y,x). [para(3514(a,1),1626(a,1,1))]. 3761 T(x,y) \ T(x * y,y) = R(y,x,y). [para(3648(a,1),3675(a,1,1))]. 3762 (x \ (y * x)) \ T(y * x,x) = R(x,y,x). [para(35(a,1),3761(a,1,1))]. 3763 R(x,y,x) * T(x * y,x) = (x * y) * R(x,y,x). [hyper(189,a,3673,a(flip),b,3729,a)]. 3764 (R(x,y,x) * y) \ ((x * y) * R(x,y,x)) = L(R(x,y,x),y,R(x,y,x)). [para(3763(a,1),3671(a,1,2))]. 3766 R(x,y / x,x) = R(x,x \ y,x). [hyper(21,a,3730,a,b,3731,a)]. 3767 R(x,(x * y) / x,x) = R(x,y,x). [para(16(a,1),3766(a,2,2))]. 3768 R(x,x \ y,x) * y = (x * (y / x)) * x. [para(3766(a,1),375(a,1,1))]. 3769 R(x,T(y,x),x) = R(x,y,x). [para(143(a,1),3767(a,1,2)),flip(a)]. 3770 R(x,T(y,x),T(x,y)) = R(x,y,x). [hyper(189,a,3669,a,b,3769,a(flip)),flip(a)]. 3771 R(T(x,y),T(z,x),T(x,z)) = T(R(x,z,x),y). [para(3770(a,1),45(a,2,1))]. 3772 R(R(x,y,z),T(u,x),T(x,u)) = R(R(x,u,x),y,z). [para(3770(a,1),49(a,1,1)),flip(a)]. 3774 R(T(x,y),T(z,x),T(x,z)) = R(T(x,y),z,x). [hyper(189,a,45,a,b,3771,a)]. 3775 R(T(T(x,y),z),T(u,x),T(x,u)) = T(R(T(x,y),u,x),z). [para(3774(a,1),45(a,2,1))]. 3777 (x * ((y \ x) * y)) / x = x * K(y \ x,y). [para(3698(a,1),3696(a,1,2)),flip(a)]. 3778 T(x,(y \ x) * y) = x. [hyper(3407,a,3777,a)]. 3780 T(x,y * (x / y)) = x. [para(69(a,1),3778(a,1,2,1))]. 3781 T(T(x,y),z * (x / z)) = T(x,y). [para(3780(a,1),41(a,1,1)),flip(a)]. 3782 T(x,T((y \ z) / z,x)) = (y * T(y \ 1,x)) \ x. [para(3717(a,1),3302(a,1,1)),flip(a)]. 3783 T(x,T((y \ z) / z,x)) = T(x,T(y \ 1,x)). [hyper(189,a,3308,a(flip),b,3782,a)]. 3784 T(x,T(y \ 1,x)) = T(x,(y \ z) / z). [hyper(3594,a,3783,a),flip(a)]. 3785 T(x,(y \ z) / z) = T(x,y \ 1). [hyper(3594,a,3784,a),flip(a)]. 3786 T(x,y / (z * y)) = T(x,z \ 1). [para(16(a,1),3785(a,1,2,1))]. 3787 T(x,(y / z) \ 1) = T(x,z / y). [para(69(a,1),3785(a,1,2,1)),flip(a)]. 3793 T(x \ T(x,(y * z) / z),T(y,u)) = R(x \ T(x,y),y,z). [para(3787(a,1),3436(a,1,1,2))]. 3794 R(T(T(x,y),z),T(u,x),T(x,u)) = R(T(T(x,y),z),u,x). [hyper(189,a,45,a,b,3775,a)]. 3795 (R(x,y,z) * T(u,x)) * T(x,u) = R(R(x,u,x),y,z) * (u * x). [para(3772(a,1),3579(a,1,1)),flip(a)]. 3796 T(x \ T(x,y),T(y,z)) = R(x \ T(x,y),y,u). [para(18(a,1),3793(a,1,1,2,2))]. 3797 R(x \ T(x,y),y,z) = x \ T(x,y). [hyper(189,a,2784,a(flip),b,3796,a(flip))]. 3798 (x \ T(x,y)) \ (((x * y) / x) * z) = y * z. [para(3797(a,1),3295(a,1,1))]. 3799 L(x,y \ 1,(z * y) / z) = y * ((y \ 1) * x). [hyper(3310,a,3798,a)]. 3800 (x \ T(x,x \ y)) \ y = (x \ y) * x. [para(71(a,1),3798(a,1,2))]. 3803 (x \ ((x \ y) \ y)) \ y = (x \ y) * x. [para(114(a,1),3800(a,1,1,2))]. 3804 x / ((y \ x) * y) = y \ ((y \ x) \ x). [para(3803(a,1),67(a,1,2))]. 3805 (x * (y / x)) / y = y / ((x \ y) * x). [hyper(189,a,3686,a,b,3804,a),flip(a)]. 3806 L(x,y \ 1,(z * y) / z) = L(x,y \ 1,y). [hyper(189,a,166,a(flip),b,3799,a)]. 3807 L(x,y \ 1,y * K(z,y)) = L(x,y \ 1,y). [para(3395(a,1),3806(a,1,3))]. 3808 L((x \ 1) \ y,x \ 1,x * K(z,x)) = x * y. [hyper(189,a,362,a(flip),b,3807,a)]. 3809 K(x,y) * (z * T(z \ (y * z),u)) = (K(x,y) * T(y,u)) * z. [para(3808(a,1),2862(a,1,2,2,1,2))]. 3810 T(x,y \ 1) * (x \ (y * z)) = y * (T(x,y \ 1) * (x \ z)). [para(3476(a,1),3490(a,2,2))]. 3811 T(x,y) * (T(x,x \ 1) \ z) = ((x \ 1) * T(x,y)) * z. [para(2497(a,1),3491(a,1,2))]. 3812 (((x \ 1) \ 1) * T(x \ 1,y)) * z = T(1 / x,y) * ((x \ 1) \ z). [hyper(189,a,3003,a(flip),b,3811,a(flip))]. 3813 (T(x,y) * (y * x)) / T(x,y) != z | T(x,y * x) * T(y,x) = z. [para(3575(a,2),3537(a,1))]. 3814 ((x * (y / x)) / T(x,z)) * x = (y / T(x,z)) * T(x,x \ y). [hyper(189,a,2125,a(flip),b,3626,a(flip))]. 3815 x * T(y,z) != z * (z / (z / T(y,z))) | (y \ T(z,y)) * T(y,z) = x. [para(3746(a,1),23(a,1)),flip(a)]. 3816 (K(x,y) * T(y,z)) * u = K(x,y) * (T(y,z) * u). [para(322(a,1),3809(a,1,2)),flip(a)]. 3818 L(x,T(y,z),K(u,y)) = x. [hyper(346,a,3816,a)]. 3819 L(x,y,K(z,y)) = x. [para(112(a,1),3818(a,1,2))]. 3820 (K(x,y) * y) * z = K(x,y) * (y * z). [para(3819(a,1),102(a,1,2))]. 3821 L(x,y,T(y,z) \ y) = x. [para(2744(a,1),3819(a,1,3))]. 3822 L(x,T(y,z) \ y,y) = y * (y \ x). [para(3821(a,1),3428(a,1,2)),flip(a)]. 3823 L(x,T(y,z) \ y,y) = x. [hyper(189,a,17,a(flip),b,3822,a)]. 3827 L(x,K(y,z),z) = x. [para(3628(a,2),3823(a,1,2))]. 3828 (x * K(y,x)) * z = x * (K(y,x) * z). [para(3827(a,1),102(a,1,2))]. 3829 (x * (K(y,x) * z)) / z = x * K(y,x). [para(3827(a,1),128(a,1,2))]. 3831 R(K(x,y),y,z) = K(x,y). [hyper(376,a,3820,a)]. 3832 (x * K(y,x)) * z = K(y,x) * (x * z). [para(2754(a,1),3820(a,1,1))]. 3833 R(x,K(y,x),z) = x. [hyper(376,a,3828,a)]. 3834 (x * (K(y,x) * z)) \ ((x * K(y,x)) * (z * u)) = L(u,z,x * K(y,x)). [para(3828(a,1),31(a,2,1)),flip(a)]. 3835 R(T(x,y),K(z,x),u) = T(x,y). [para(3833(a,1),45(a,2,1))]. 3836 x * (K(y,x) * z) != u | (x * K(y,x)) * z = u. [para(3833(a,1),204(a,1,1))]. 3837 (T(x,y) * K(z,x)) * u = T(x,y) * (K(z,x) * u). [para(3833(a,1),380(a,1,1,1)),flip(a)]. 3838 R(T(x,((x * y) \ x) \ K(y,x)),K(z,x),u) = K(y,x) \ x. [hyper(189,a,3394,a(flip),b,3835,a)]. 3839 K(x,y) \ (z * (y * K(x,y))) = y * T(z,y * K(x,y)). [hyper(428,a,3832,a)]. 3840 (x * K(y,x)) * (x \ z) = K(y,x) * z. [hyper(189,a,89,a(flip),b,3832,a)]. 3841 K(x,y) * (y * z) = y * (K(x,y) * z). [hyper(189,a,3828,a(flip),b,3832,a(flip))]. 3844 x * (K(y,x) * (x \ z)) != u | K(y,x) * z = u. [para(3841(a,1),254(a,1))]. 3846 (x * (K(y,x) * z)) \ (K(y,x) * (x * (z * u))) = L(L(u,z,x),x * z,K(y,x)). [para(3841(a,1),348(a,1,1))]. 3847 R(x,y,z) * (K(u,R(x,y,z)) * (y * z)) != w | K(u,R(x,y,z)) * ((x * y) * z) = w. [para(133(a,1),3844(a,1,2,2))]. 3849 T(x,y * K(x,y)) = T(x,y). [hyper(3716,a,3839,a),flip(a)]. 3850 T(L(L(x * K(y,x),y,x * K(y,x)),z,u) * y,x * K(y,x)) = L(x * K(y,x),z,u) * T(y,x). [para(3849(a,1),3760(a,2,2))]. 3851 R(K(x,y) \ y,K(z,y),u) = K(x,y) \ y. [para(3394(a,1),3838(a,1,1))]. 3852 (x * y) / (K(z,x) * y) = K(z,x) \ x. [hyper(189,a,2859,a(flip),b,3851,a(flip)),flip(a)]. 3854 (K(x,y) \ y) * (K(x,y) * z) = y * z. [para(3852(a,1),19(a,1,1))]. 3855 (K(x,y) \ 1) * (K(x,y) * z) = z. [hyper(3699,a,3854,a)]. 3856 L(x,K(y,z) \ 1,K(y,z)) = x. [hyper(1912,a,3855,a)]. 3858 (K(x,y) \ 1) \ z = K(x,y) * z. [hyper(80,a,3855,a)]. 3860 (K(x,y) \ 1) \ z != u | K(x,y) * z = u. [para(3855(a,1),237(a,1,2)),flip(b)]. 3862 x * (1 / K(y,z)) = x / K(y,z). [hyper(1893,a,3858,a)]. 3863 (K(x,y) \ z) \ z = T(K(x,y),z). [hyper(147,a,3858,a(flip),b,3631,a),flip(a)]. 3865 x * (K(y,z) \ 1) = x / K(y,z). [para(2004(a,1),3862(a,1,2))]. 3866 x / T(K(y,z),x) = K(y,z) \ x. [para(3863(a,1),67(a,1,2))]. 3867 (x * y) \ (y * x) = K(x,y) \ 1. [hyper(75,a,127,a(flip),b,3865,a)]. 3868 (x * K(y,z)) \ x = K(y,z) \ 1. [hyper(75,a,18,a(flip),b,3865,a)]. 3870 (K(x,y) \ z) * K(x,y) = T(z,K(x,y)). [para(3866(a,1),3522(a,1,1))]. 3871 K(x,y) \ 1 = K(y,x). [hyper(240,a,3867,a),flip(a)]. 3872 K(x,y) \ 1 != z | K(y,x) = z. [para(3867(a,1),240(a,1))]. 3873 K(x,y / x) = K(x,x \ y). [hyper(3663,a,3871,a)]. 3874 K(x,T(y,x)) = K(x,y). [hyper(3662,a,3871,a),flip(a)]. 3875 1 / K(x,y) = K(y,x). [hyper(2006,a,3871,a)]. 3876 K(T(x,y),y) = K(x,y). [hyper(189,a,3655,a,b,3871,a(flip)),flip(a)]. 3877 (x * K(y,x)) \ x = K(x,y). [hyper(189,a,3069,a,b,3871,a(flip)),flip(a)]. 3878 K(x,y) * K(y,x) = 1. [para(3871(a,1),17(a,1,2))]. 3879 x * K(y,z) != 1 | K(z,y) = x. [para(3871(a,1),87(a,1,2)),flip(b)]. 3880 1 / K(x,y) != z | K(y,x) = z. [para(3871(a,1),246(a,1,2)),flip(b)]. 3882 (x * y) \ ((y * x) * T(K(x,y),z)) = K(y,x) * T(K(x,y),z). [para(3871(a,1),1412(a,2,2,1))]. 3884 K(x,y) \ x = x * K(y,x). [para(3871(a,1),2985(a,1,2)),flip(a)]. 3885 K(x,T(y,x)) != z | K(x,y) = z. [para(3871(a,1),3662(a,1))]. 3887 K(x,y) * (K(y,x) * z) = z. [para(3871(a,1),3855(a,1,1))]. 3888 L(x,K(y,z),K(z,y)) = x. [para(3871(a,1),3856(a,1,2))]. 3889 K(x,y) \ z = K(y,x) * z. [para(3871(a,1),3858(a,1,1))]. 3890 x / K(y,z) = x * K(z,y). [para(3871(a,1),3865(a,1,2)),flip(a)]. 3891 K(x,x \ (y * x)) = K(x,y). [para(35(a,1),3874(a,1,2))]. 3893 K(x,R(y / x,z,u)) = K(x,R(x \ y,z,u)). [para(163(a,1),3874(a,1,2)),flip(a)]. 3894 K(x,y) * z != 1 | K(y,x) = z. [para(3875(a,1),82(a,1,1)),flip(b)]. 3895 K(x \ (y * x),x) = K(y,x). [para(35(a,1),3876(a,1,1))]. 3896 K(x / y,y) = K(y \ x,y). [para(115(a,1),3876(a,1,1)),flip(a)]. 3898 K(R(x \ y,x,z),x) = K((y * z) / (x * z),x). [para(518(a,1),3876(a,1,1))]. 3899 K(R(x,y,x),y * x) = K(T(x,y),y * x). [para(613(a,1),3876(a,1,1)),flip(a)]. 3900 (x * K(y,x)) \ 1 = x \ K(x,y). [hyper(75,a,3878,a(flip),b,3840,a)]. 3902 x \ (y * (x / y)) = K(y,y \ x). [hyper(189,a,98,a,b,3873,a(flip)),flip(a)]. 3903 x * K(y,y \ x) = y * (x / y). [para(3873(a,1),214(a,1,2))]. 3904 L(x * K(y,x),K(x,y),z) = (z * K(x,y)) \ (z * x). [para(3884(a,1),104(a,1,1))]. 3905 x / (K(y,z) * x) = K(z,y). [hyper(88,a,3887,a)]. 3906 K(x,y) * (K(x,z) * K(y,x)) = K(x,z). [hyper(20,a,1959,a(flip),b,3887,a)]. 3907 K(x,y) * z != u | K(y,x) * u = z. [para(3887(a,1),22(a,1)),flip(a)]. 3909 K(x,y) \ z != u | K(y,x) * z = u. [para(3887(a,1),237(a,1,2)),flip(b)]. 3910 x / (K(y,z) * x) != u | K(z,y) = u. [para(3887(a,1),248(a,1,1)),flip(b)]. 3912 L(L(x,y,K(z,u)),K(z,u) * y,K(u,z)) = y \ (K(u,z) * (K(z,u) * (y * x))). [para(3887(a,1),348(a,1,1)),flip(a)]. 3913 x \ (K(y,z) \ x) = T(K(z,y),x). [hyper(75,a,3889,a,b,113,a)]. 3914 K(x,y) * (K(y,x) * z) != u | u = z. [para(3889(a,1),203(a,1,2))]. 3915 L(K(x,y) * (z \ u),K(y,x),z) = (z * K(y,x)) \ u. [para(3889(a,1),183(a,1,1))]. 3917 (K(x,y) * z) \ z = T(K(y,x),z). [para(3889(a,1),3863(a,1,1))]. 3918 (x * K(y,z)) \ x = K(z,y). [hyper(406,a,3890,a)]. 3919 (x * K(y,z)) * K(z,y) = x. [hyper(248,a,3890,a)]. 3921 (x * K(y,z)) * K(z,y) != u | u = x. [para(3890(a,1),200(a,1,1))]. 3922 (x * K(y,z)) \ x != u | K(z,y) = u. [para(3890(a,1),236(a,1,1)),flip(b)]. 3924 R((x / y) * K(z,u),K(u,z),y) = x / (K(u,z) * y). [para(3890(a,1),187(a,1,1))]. 3925 T(x * (y * K(z,u)),L(K(u,z),y / K(u,z),x)) = L(K(u,z),y / K(u,z),x) \ (x * y). [para(3890(a,1),599(a,1,1,2))]. 3926 (x * (y / x)) \ y = K(x \ y,x). [hyper(189,a,99,a,b,3896,a(flip)),flip(a)]. 3929 x * K(y,z) != u | u * K(z,y) = x. [para(3918(a,1),87(a,1,2)),flip(b)]. 3930 x / K(y,z) != u | x * K(z,y) = u. [para(3918(a,1),246(a,1,2)),flip(b)]. 3931 ((x * K(y,z)) \ x) \ u = K(y,z) * u. [para(3918(a,2),3889(a,1,1))]. 3932 T(x * K(y,z),K(z,y)) = K(y,z) * x. [hyper(147,a,3919,a,b,3887,a)]. 3934 x * L(y,K(z,u),x * K(u,z)) = (x * K(u,z)) * (K(z,u) * y). [para(3919(a,1),102(a,1,1))]. 3935 (x * y) \ ((x * (y * K(z,u))) * K(u,z)) != w | a(x,y * K(z,u),K(u,z)) = w. [para(3919(a,1),553(a,1,1,2))]. 3938 K(T(x,y),y) != z | K(x,y) = z. [para(3655(a,2),3872(a,1))]. 3940 K(x,x \ (y * x)) != z | K(x,y) = z. [para(35(a,1),3885(a,1,2))]. 3941 K(T(x,x * y),y) != z | K(L(x,y,x),y) = z. [para(557(a,1),3938(a,1,1))]. 3942 K(R(T(x,y * z),y,z),y) != u | K((y * z) \ ((y * x) * z),y) = u. [para(832(a,1),3938(a,1,1))]. 3943 x / (K(y,z) \ 1) != u | x * K(y,z) = u. [para(3868(a,1),246(a,1,2)),flip(b)]. 3944 K(((x / y) \ 1) \ y,(x / y) \ 1) = K(x,x \ y). [hyper(3398,a,3902,a)]. 3946 (x * (y / x)) * K(x \ y,x) = y. [hyper(21,a,3919,a,b,3903,a),flip(a)]. 3947 K(x,x \ y) * z != x * (y / x) | T(y,K(x,x \ y)) = z. [para(3903(a,1),148(a,2))]. 3948 L(K(x,x \ y) \ z,K(x,x \ y),y) = (x * (y / x)) \ (y * z). [para(3903(a,1),104(a,2,1))]. 3949 (K(x,y) * z) * T(K(y,x),z) = z. [para(3917(a,1),17(a,1,2))]. 3950 (K(x,y) * z) * u != z | T(K(y,x),z) = u. [para(3949(a,1),22(a,1)),flip(a)]. 3951 T(x,K(y,z)) != u | K(z,y) * (x * K(y,z)) = u. [para(35(a,2),3909(a,1))]. 3952 K(x,y) != z | K(y,x) \ 1 = z. [para(62(a,1),3914(a,1)),flip(b)]. 3953 x * K(y,z) != u | x / K(z,y) = u. [para(19(a,1),3921(a,1,1)),flip(b)]. 3955 T(K(x,y) * z,K(x,y)) = z * K(x,y). [para(16(a,1),3870(a,1,1)),flip(a)]. 3956 (K(x,y) * z) * K(y,x) = T(z,K(y,x)). [para(3889(a,1),3870(a,1,1))]. 3957 K(x,y) * T(K(y,x) * z,u) != w | T(z * K(y,x),u) * K(x,y) = w. [para(3932(a,1),302(a,1,2,1))]. 3958 T(x,K(y,z)) * K(z,y) = K(z,y) * x. [hyper(3929,a,3956,a)]. 3959 T(T(x,K(y,z)),K(z,y)) = x. [hyper(147,a,3958,a,b,xx)]. 3963 K(x,y) * K(z,y) = K(z,y) * K(x,y). [para(1958(a,1),3958(a,1,1))]. 3964 K(x,y) * (y * K(z,y)) = (y * K(z,y)) * K(x,y). [para(3419(a,1),3958(a,1,1)),flip(a)]. 3965 K(R(x \ (y / z),x,y / (y / z)),x) = K(((z \ y) * z) / (x * (y / (y / z))),x). [para(3744(a,1),3898(a,2,1,1))]. 3968 (x * K(y,x)) \ z = K(x,y) * (x \ z). [hyper(189,a,3827,a(flip),b,3915,a(flip))]. 3969 K(x,y) * (x \ 1) = x \ K(x,y). [hyper(189,a,3900,a(flip),b,3968,a(flip))]. 3970 (x \ 1) / (x \ K(x,y)) = K(y,x). [para(3969(a,1),3905(a,1,2))]. 3971 (x \ 1) / (x \ K(x,y)) != z | K(y,x) = z. [para(3969(a,1),3910(a,1,2))]. 3972 (x / T(y,x)) * T(y,y \ x) = T(y * (x / y),y). [hyper(189,a,3552,a(flip),b,3814,a(flip))]. 3973 (x / T(y,x)) * T(y,y \ x) = y * (T(x,y) / y). [hyper(189,a,1176,a(flip),b,3972,a)]. 3974 T(x,x \ T(y,x)) = T(x,x \ y). [hyper(20,a,3625,a,b,3973,a),flip(a)]. 3975 T(x,y) / T(y,y \ x) = y \ T(x,y). [para(3974(a,1),174(a,1,2))]. 3976 T(x,T(x,y) \ y) = T(x,x \ y). [para(3529(a,2),3974(a,1,2))]. 3977 T(x * y,x) / T(x,y) = x \ T(x * y,x). [para(16(a,1),3975(a,1,2,2))]. 3978 (x \ T(x,y)) \ z = (T(x,y) \ x) * z. [para(3797(a,1),3695(a,1,1))]. 3979 (T(x,y) \ x) * z = x * (T(x,y) \ z). [hyper(3700,a,3978,a),flip(a)]. 3980 (T(x,y) \ x) * (T(x,y) * z) = x * z. [hyper(3494,a,3978,a),flip(a)]. 3981 (x \ T(x,y)) \ z = T(y,x) * (y \ z). [hyper(189,a,3571,a,b,3978,a)]. 3987 (T(x,y) \ x) \ z = T(x,y) * (x \ z). [hyper(75,a,17,a(flip),b,3980,a)]. 3988 T(x,y) * (x \ (T(y,x) * z)) = y * z. [hyper(189,a,3571,a,b,3980,a(flip)),flip(a)]. 3989 ((x * y) / x) \ (T(x,y) * z) = y \ (x * z). [hyper(75,a,3980,a(flip),b,3682,a),flip(a)]. 3991 T(x,y) * (T(y,x) * z) = x * (y * z). [para(3980(a,1),3546(a,1,2)),flip(a)]. 3992 x \ (((y * x) / y) * z) = T(x,y) \ (x * z). [hyper(75,a,3798,a(flip),b,3981,a(flip)),flip(a)]. 3993 T(x,y) * (T(y,x) * z) = (x * y) * L(z,y,x). [hyper(189,a,102,a,b,3991,a)]. 3994 (x * y) \ (x * (y * z)) = L(z,T(y,x),T(x,y)). [para(3991(a,1),3577(a,1,2))]. 3995 (x * (y * z)) \ ((x * y) * z) = a(T(x,y),T(y,x),z). [para(3991(a,1),3576(a,1,1))]. 3997 x \ (y * ((y \ x) * z)) = L(z,y \ x,T(y,x)). [hyper(3321,a,3989,a),flip(a)]. 3998 x \ (((y * x) / y) * z) = x * (T(x,y) \ z). [hyper(189,a,1000,a(flip),b,3992,a)]. 3999 ((x * y) / x) * (y \ z) = y * (T(y,x) \ z). [hyper(189,a,1105,a(flip),b,3998,a(flip)),flip(a)]. 4000 x * (T(x,y) \ x) != z | (y * x) / y = z. [para(3999(a,1),138(a,1))]. 4001 (x * y) \ (T(x,y) * z) = L(T(y,x) \ z,y,x). [hyper(432,a,3993,a)]. 4002 L(T(x,y) \ 1,x,y) = (y * x) \ T(y,x). [hyper(299,a,3993,a),flip(a)]. 4003 T(x,y) * (T(y,x) * z) != u | x * (y * z) = u. [para(3993(a,2),207(a,1))]. 4004 L(x,T(y,z),T(z,y)) = L(x,y,z). [hyper(355,a,3994,a),flip(a)]. 4005 L(x,y \ z,T(y,z / y)) = L(x,z / y,y). [para(115(a,1),4004(a,1,2))]. 4006 L(x,y \ z,T(y,z)) = L(x,y \ z,y). [hyper(577,a,3997,a),flip(a)]. 4007 (x * (y / x)) \ (T(x,y / x) * z) = L((x \ y) \ z,y / x,x). [para(115(a,1),4001(a,2,1,1))]. 4008 T(x,T(y,x)) * (T(y,x) * z) != u | x * (y * z) = u. [para(3521(a,2),4003(a,1,1))]. 4009 a(T(x,y),T(y,x),z) = a(x,y,z). [hyper(553,a,3995,a),flip(a)]. 4010 a(T(x,y),T(y,x),z) != u | a(x,y,z) = u. [para(3995(a,1),553(a,1))]. 4011 (R(x,y,z) * T(u,x)) * T(x,u) = (R(x,y,z) * u) * x. [hyper(189,a,382,a(flip),b,3795,a)]. 4012 T(x * y,x) * T(x,y) = (R(x,y,x) * y) * x. [para(930(a,1),4011(a,1,1))]. 4013 (R(x,y,x) * y) * x = (x * y) * R(x,y,x). [hyper(189,a,3673,a(flip),b,4012,a(flip))]. 4014 (R(x,y,x) * y) \ ((x * y) * R(x,y,x)) != z | z = x. [para(4013(a,1),237(a,1,2))]. 4015 L(K(x \ y,x) * z,K(x,x \ y),y) = (x * (y / x)) \ (y * z). [para(3889(a,1),3948(a,1,1))]. 4016 (x * (y / x)) \ (T(x,x \ y) * z) = L((x \ y) \ z,y / x,x). [para(3533(a,1),4007(a,1,2,1))]. 4017 K(x \ 1,x) * T(y,x) = x * (T((x \ 1) \ 1,y) \ y). [para(2671(a,1),3554(a,1,2))]. 4018 T(x * K(y \ 1,y),y) = y * (T((y \ 1) \ 1,x) \ x). [hyper(189,a,2493,a,b,4017,a(flip)),flip(a)]. 4019 ((T((x \ 1) \ 1,y) \ x) * T((x \ 1) \ 1,y)) * (T((x \ 1) \ 1,y) \ y) = y * T(y \ T(y * K(x \ 1,x),x),T((x \ 1) \ 1,y)). [para(4018(a,2),1244(a,2,2,1,2))]. 4020 (x * T(y,x)) / T((x \ y) * x,x) = T(x,T(x,y) \ y). [para(3525(a,1),3624(a,1,1,2))]. 4021 (x * y) / T((y \ x) * y,y) = T(y,T(y,x) \ x). [para(113(a,1),4020(a,1,1))]. 4022 (x * y) / T((y \ x) * y,y) = T(y,y \ x). [hyper(189,a,3976,a(flip),b,4021,a)]. 4023 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(3704(a,2),333(a,1))]. 4024 T(1 / x,y) * ((x \ 1) \ z) = (x * T(1 / x,y)) * z. [para(2699(a,1),3812(a,1,1)),flip(a)]. 4025 (T(1 / x,y) * z) / ((x * T(1 / x,y)) * z) = x \ 1. [para(4024(a,1),3012(a,1,2))]. 4026 T(1 / x,y) * ((x * T(1 / x,y)) \ z) = (x \ 1) * z. [para(4025(a,1),210(a,1,1)),flip(a)]. 4027 T(x,y \ 1) * (x \ (y * (T(y \ 1,x) * z))) = L(z,T(y \ 1,x),y). [hyper(189,a,3987,a(flip),b,3629,a(flip)),flip(a)]. 4028 L(R(x,y,x),y,R(x,y,x)) = x. [hyper(4014,a,3764,a)]. 4029 (x * (K(y,x) * z)) \ (x * (K(y,x) * (z * u))) = L(u,z,x * K(y,x)). [para(3828(a,1),3834(a,1,2))]. 4030 x * (T(y,x \ 1) * (y \ (T(x \ 1,y) * z))) = L(z,T(x \ 1,y),x). [hyper(189,a,3810,a(flip),b,4027,a(flip)),flip(a)]. 4031 L(x,T(y \ 1,z),y) = y * ((y \ 1) * x). [para(3988(a,1),4030(a,1,2)),flip(a)]. 4032 L(x,T(y \ 1,z),y) = L(x,y \ 1,y). [hyper(189,a,166,a(flip),b,4031,a)]. 4034 L(T(1 / x,y) \ z,x \ 1,x) = (x * T(1 / x,y)) \ (x * z). [hyper(189,a,3210,a(flip),b,4032,a(flip))]. 4036 T((x \ 1) * (x * ((y * z) / y)),y) = T(1 / x,y) * ((x * T(1 / x,y)) \ (x * z)). [para(4034(a,1),3047(a,2,2))]. 4037 (x * T(T(x,x \ y) * (x \ y),z)) / y = (x / y) * T(x * (y / x),z). [para(975(a,1),3756(a,1,1,2,1))]. 4038 (x * T(x * (y / x),z)) / y = (x / y) * T(x * (y / x),z). [para(3336(a,1),4037(a,1,1,2,1))]. 4039 ((x \ 1) \ y) * T(x \ 1,y) = (y / x) / (x \ 1). [para(784(a,1),3688(a,1,1)),flip(a)]. 4040 (x * (K(y,x) * z)) \ (x * (K(y,x) * (z * u))) = L(L(u,z,x),x * z,K(y,x)). [para(3841(a,1),3846(a,1,2))]. 4041 L(L(x,y,K(z,u)),K(z,u) * y,K(u,z)) = y \ (y * x). [para(3887(a,1),3912(a,2,2))]. 4042 L(L(x,y,K(z,u)),K(z,u) * y,K(u,z)) != w | w = x. [para(4041(a,2),237(a,1))]. 4044 L(L(x,y,z),z * y,K(u,z)) = L(x,y,z * K(u,z)). [hyper(189,a,4029,a(flip),b,4040,a(flip))]. 4045 T((x \ 1) * (x * ((y * z) / y)),y) = (x \ 1) * (x * z). [hyper(189,a,4026,a(flip),b,4036,a)]. 4046 L((x \ 1) * y,K(x,x \ 1),z) = (x \ 1) * (x * (x \ y)). [hyper(3442,a,4045,a)]. 4048 L((x \ 1) * y,K(x,x \ 1),z) = (x \ 1) * y. [hyper(189,a,89,a(flip),b,4046,a)]. 4050 (x * ((1 / y) * z)) / ((y \ 1) * z) = x * K(y,y \ 1). [para(4048(a,1),2430(a,1,2))]. 4051 R(x,K(y \ 1,y),(1 / y) * z) = K(y \ 1,y) * (x * K(y,y \ 1)). [para(4050(a,1),3455(a,1,2)),flip(a)]. 4053 R(x,K(y \ 1,y),(1 / y) * z) = x. [hyper(189,a,2481,a(flip),b,4051,a)]. 4057 R(x,K(y \ 1,y),z) = x. [para(17(a,1),4053(a,1,3))]. 4060 R(x,y,K(z \ 1,z)) = x. [hyper(189,a,3434,a(flip),b,4057,a(flip)),flip(a)]. 4061 (x * K(y \ 1,y)) * z = x * (K(y \ 1,y) * z). [para(4057(a,1),110(a,1,1)),flip(a)]. 4067 x / (y * K(z \ 1,z)) = K(z,z \ 1) * (x / y). [hyper(189,a,3242,a(flip),b,4060,a(flip)),flip(a)]. 4068 (x * y) * K(z \ 1,z) = x * (y * K(z \ 1,z)). [para(4060(a,1),110(a,1,1)),flip(a)]. 4069 x \ (y * K(z \ 1,z)) = (x \ y) * K(z \ 1,z). [para(4060(a,1),370(a,1,1))]. 4071 (x * y) \ ((x * (y * z)) * K(u \ 1,u)) = L(z,y,x) * K(u \ 1,u). [para(4060(a,1),400(a,1,1))]. 4072 R(x,y,K(z,z \ 1)) = x. [para(1536(a,1),4060(a,1,3))]. 4073 R(x,y,1 / z) = R(x,y,z \ 1). [hyper(3030,a,4072,a)]. 4076 T(x,y * K(z,z \ 1)) = T(x,y). [hyper(189,a,3232,a(flip),b,4072,a(flip))]. 4077 (x * y) * K(z,z \ 1) = x * (y * K(z,z \ 1)). [para(4072(a,1),110(a,1,1)),flip(a)]. 4079 R(x,y,1 / (1 / z)) = R(x,y,z). [para(69(a,1),4073(a,2,3))]. 4082 T(x,K(y \ 1,y) * z) = T(x,z). [para(2486(a,1),4076(a,1,2)),flip(a)]. 4083 T(x,K(y,y \ 1) * z) = T(x,z). [para(2502(a,2),4076(a,1,2))]. 4087 T(K(x,x \ 1) * y,T(z,y)) != u | T(K(x,x \ 1) * y,z) = u. [para(4083(a,1),3594(a,1,2))]. 4088 K(x \ 1,x) * (y * z) = y * (K(x \ 1,x) * z). [hyper(3245,a,4061,a)]. 4091 K(x,x \ 1) * (y * (z * K(x \ 1,x))) = y * z. [hyper(2499,a,4068,a)]. 4092 K(x \ 1,x) * (y * z) = y * (z * K(x \ 1,x)). [hyper(2477,a,4068,a)]. 4093 L(K(x \ 1,x),y,z) = K(x \ 1,x). [hyper(346,a,4068,a)]. 4095 (x * (y * K(z \ 1,z))) \ u = (x * y) \ (K(z,z \ 1) * u). [para(4068(a,1),3234(a,1,1))]. 4096 x / (y * (z * K(u \ 1,u))) = K(u,u \ 1) * (x / (y * z)). [para(4068(a,1),4067(a,1,2))]. 4098 a(x,y,K(z \ 1,z)) = 1. [hyper(37,a,4093,a)]. 4099 a(x,y,K(z,z \ 1)) = 1. [para(1536(a,1),4098(a,1,3))]. 4100 L(K(x,x \ 1),y,z) = K(x,x \ 1). [hyper(36,a,4099,a)]. 4101 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = K(x,x \ 1). [hyper(189,a,2950,a,b,4100,a(flip)),flip(a)]. 4104 (x \ (1 / y)) * K(y \ 1,y) = x \ (y \ 1). [para(1198(a,1),4069(a,1,2)),flip(a)]. 4105 (x \ (y * ((z \ 1) \ 1))) * K(z \ 1,z) = x \ (y * z). [para(2319(a,1),4069(a,1,2)),flip(a)]. 4106 x \ (K(y \ 1,y) * z) = (x \ z) * K(y \ 1,y). [para(2475(a,2),4069(a,1,2))]. 4107 K(x,x \ 1) * (y \ (x \ 1)) = y \ (1 / x). [hyper(2499,a,4104,a)]. 4108 (x \ (1 / R(y,z,u))) * K(y \ 1,y) = x \ (R(y,z,u) \ 1). [para(3174(a,1),4104(a,1,2))]. 4109 K(x,x \ 1) * (y * (K(x \ 1,x) * z)) = y * z. [hyper(3907,a,4088,a)]. 4110 x \ (K(y \ 1,y) * z) = K(y \ 1,y) * (x \ z). [hyper(432,a,4088,a)]. 4111 K(x \ 1,x) * (y \ 1) = y \ K(x \ 1,x). [hyper(299,a,4088,a),flip(a)]. 4116 K(x,x \ 1) * (y * (z / ((x \ 1) \ 1))) = y * (z / x). [para(2313(a,1),4091(a,1,2,2))]. 4117 K(x,x \ 1) * (y * z) = y * (K(x,x \ 1) * z). [para(2479(a,1),4091(a,1,2,2))]. 4118 K(x,x \ 1) * (y * ((1 / x) \ z)) = y * ((x \ 1) \ z). [para(2490(a,1),4091(a,1,2,2))]. 4119 K(x \ 1,x) * (y * T(x,z)) = y * T(1 / (1 / x),z). [para(2776(a,1),4092(a,2,2))]. 4120 (K(x,x \ 1) * y) \ z = (y \ z) * K(x \ 1,x). [hyper(189,a,3216,a,b,4106,a(flip)),flip(a)]. 4121 (K(x,x \ 1) * y) \ z = K(x \ 1,x) * (y \ z). [hyper(189,a,3216,a,b,4110,a(flip)),flip(a)]. 4122 x \ (K(y,y \ 1) * z) = K(y,y \ 1) * (x \ z). [hyper(432,a,4117,a)]. 4126 ((1 / x) \ y) * K(z \ 1,z) = (K(z,z \ 1) / x) \ y. [para(3194(a,1),4120(a,1,1)),flip(a)]. 4127 K(x \ 1,x) * ((x * y) \ z) = (((x \ 1) \ 1) * y) \ z. [para(2365(a,1),4121(a,1,1)),flip(a)]. 4128 x \ (K(y,y \ 1) * z) = (x \ z) * K(y,y \ 1). [hyper(189,a,2502,a(flip),b,4122,a)]. 4129 x \ (y * K(z,z \ 1)) = K(z,z \ 1) * (x \ y). [para(2502(a,1),4122(a,1,2))]. 4130 x \ (K(y,y \ 1) * z) != u | (x \ z) * K(y,y \ 1) = u. [para(4122(a,2),2520(a,1))]. 4131 (K(x \ 1,x) * y) \ z = K(x,x \ 1) * (y \ z). [hyper(189,a,3218,a,b,4129,a(flip)),flip(a)]. 4132 (x * y) \ ((x * (y * z)) * K(u,u \ 1)) = K(u,u \ 1) * L(z,y,x). [para(31(a,2),4129(a,2,2))]. 4133 K(x,x \ 1) * (((x \ 1) \ y) \ z) = ((1 / x) \ y) \ z. [para(2376(a,1),4131(a,1,1)),flip(a)]. 4135 T(x,y * ((1 / z) \ u)) = T(x,y * ((z \ 1) \ u)). [para(4118(a,1),4083(a,1,2)),flip(a)]. 4136 T(x,(K(y \ 1,y) * z) * ((u \ 1) \ w)) = T(x,K(y \ 1,y) * (z * ((1 / u) \ w))). [para(3184(a,1),4135(a,1,2)),flip(a)]. 4137 K(x \ 1,x) * (y * ((x \ z) \ z)) = y * T(1 / (1 / x),x \ z). [para(114(a,1),4119(a,1,2,2))]. 4138 K(x \ 1,x) * (y * ((1 / z) \ u)) = y * ((K(x,x \ 1) / z) \ u). [para(4126(a,1),4092(a,2,2))]. 4139 (x * y) \ (K(z,z \ 1) * (x * (K(z \ 1,z) * (y * u)))) = L(u,y * K(z \ 1,z),x). [hyper(3228,a,4095,a),flip(a)]. 4140 K(x \ 1,x) * (y / (z * (u * K(x \ 1,x)))) = y / (z * u). [hyper(3907,a,4096,a(flip))]. 4141 (1 / x) \ (1 / R(x,y,z)) = (x \ 1) \ (R(x,y,z) \ 1). [hyper(21,a,2490,a,b,4108,a)]. 4142 (1 / x) \ (1 / R(x,y,z)) = (x \ R(x,y,z)) \ 1. [hyper(189,a,2963,a(flip),b,4141,a)]. 4143 x / (K(y,y \ 1) * z) = K(y \ 1,y) * (x / z). [para(2480(a,1),4140(a,1,2,2)),flip(a)]. 4144 T(x,y) \ (K(z,z \ 1) * (x * y)) = T(K(z,z \ 1) * y,x). [hyper(4087,a,3260,a(flip)),flip(a)]. 4145 (T(x,y) \ (x * y)) * K(z,z \ 1) = T(K(z,z \ 1) * y,x). [hyper(4130,a,4144,a)]. 4146 T(K(x,x \ 1) * y,z) = T(y,z) * K(x,x \ 1). [para(3528(a,1),4145(a,1,1)),flip(a)]. 4147 T(K(x,x \ 1) * y,z) = K(x,x \ 1) * T(y,z). [hyper(189,a,2502,a,b,4146,a)]. 4149 K(x,x \ 1) * T(K(x,x \ 1) \ y,z) = T(y,z). [para(17(a,1),4147(a,1,1)),flip(a)]. 4151 T((x \ y) * x,z) / x = x \ T(y,z). [hyper(75,a,4149,a(flip),b,2029,a(flip)),flip(a)]. 4152 T(x * y,z) / y = y \ T(y * x,z). [para(16(a,1),4151(a,1,1,1,1))]. 4153 T((x \ y) * x,z) = (x \ T(y,z)) * x. [para(4151(a,1),19(a,1,1)),flip(a)]. 4154 x \ T(x * (y / x),z) = T(y,z) / x. [para(70(a,1),4151(a,1,1,1)),flip(a)]. 4155 (x \ T(y,z)) * x != u | T((x \ y) * x,z) = u. [para(4151(a,1),200(a,1,1)),flip(b)]. 4158 (x \ 1) * T((x \ 1) \ y,z) = T(y * x,z) / x. [hyper(189,a,729,a,b,4152,a),flip(a)]. 4159 x * (T(y * x,z) / x) = T(x * y,z). [para(4152(a,2),17(a,1,2))]. 4160 (x \ T(x * y,z)) * x = T(y * x,z). [para(4152(a,1),19(a,1,1))]. 4161 T(x \ T(x * y,z),x) = x \ T(y * x,z). [para(4152(a,1),115(a,1,1))]. 4166 T((x \ (y / z)) * x,z) = (x \ (z \ y)) * x. [para(115(a,1),4153(a,2,1,2))]. 4168 T(x * (y / x),z) = x * (T(y,z) / x). [para(4154(a,1),17(a,1,2)),flip(a)]. 4170 x \ T(T(x,y) * y,z) = T(x * y,z) / x. [para(3322(a,2),4154(a,1,2,1))]. 4171 T(x,y) \ T(x * (y / x),z) = T(y,z) / T(x,y). [para(3733(a,1),4154(a,1,2,1))]. 4172 (x \ y) * (T(y,z) / (x \ y)) = T((x \ y) * x,z). [para(17(a,1),4159(a,1,2,1,1))]. 4177 T((x * (y \ 1)) * y,z) = (T(x,z) * (y \ 1)) * y. [para(767(a,1),4160(a,1,1)),flip(a)]. 4178 T(x,y) \ T(z * (x / z),y) = K(z,z \ T(x,y)). [hyper(75,a,4168,a,b,3903,a)]. 4179 T(x * ((y / z) / x),z) = x * ((z \ y) / x). [para(115(a,1),4168(a,2,2,1))]. 4181 (x * T(x * (y / x),z)) / y = (T(x,x \ T(y,z)) / y) * T(y,z). [para(4168(a,2),3343(a,1,1,2))]. 4182 T(x * (y / x),z) \ T(y,z) = K(x \ T(y,z),x). [para(4168(a,2),3926(a,1,1))]. 4183 ((x \ (y / z)) * x) * z = z * ((x \ (z \ y)) * x). [para(4166(a,1),113(a,1,2)),flip(a)]. 4184 (x * ((y \ (x \ z)) * y)) / x = (y \ (z / x)) * y. [para(4166(a,1),143(a,1,1,2))]. 4185 (x * ((y / z) / x)) * z = z * (x * ((z \ y) / x)). [para(4179(a,1),113(a,1,2)),flip(a)]. 4186 (x \ K(y,z)) * x != u | T((x \ K(y,z)) * x,T(z,w)) = u. [para(2781(a,1),4155(a,1,1,2))]. 4187 ((x * ((y * x) \ y)) \ 1) * T(((x * ((y * x) \ y)) \ 1) \ (1 / ((y * x) \ y)),z) = T(x,z) / (x * ((y * x) \ y)). [para(1237(a,1),4158(a,2,1,1))]. 4188 T(x,y) \ T(T(x,y) * ((z * (x / z)) / T(x,y)),u) = T(z * (x / z),u) / T(T(x,y),z * (x / z)). [para(3781(a,1),4171(a,1,1))]. 4189 (x \ y) \ T((x \ y) * x,z) != u | T(y,z) / (x \ y) = u. [para(4172(a,1),237(a,1,2)),flip(b)]. 4190 R((x \ (y / z)) * x,z,z \ 1) / (z \ 1) = z * ((x \ (z \ y)) * x). [hyper(3257,a,4183,a)]. 4191 (x \ y) * ((z \ ((x \ y) \ y)) * z) = ((z \ x) * z) * (x \ y). [para(67(a,1),4183(a,1,1,1,2)),flip(a)]. 4192 x * (y * T(y \ (x \ z),y)) = ((y \ (z / x)) * y) * x. [para(113(a,2),4183(a,2,2)),flip(a)]. 4193 ((x \ R(1 / y,y,z)) * x) * (y * z) = (y * z) * ((x \ ((y * z) \ z)) * x). [para(141(a,2),4183(a,1,1,1,2))]. 4194 (x * ((y \ z) * y)) / x = (y \ ((x * z) / x)) * y. [para(16(a,1),4184(a,1,1,2,1,2))]. 4195 (x * ((y / (y * z)) / x)) * (y * z) = (y * z) * (x * (L(z \ 1,z,y) / x)). [para(140(a,2),4185(a,2,2,2,1))]. 4196 (x \ ((x * y) / x)) * x = (x \ y) * T(x,y). [hyper(3621,a,4194,a),flip(a)]. 4197 x \ (((x \ 1) * y) / (x \ 1)) = (x \ 1) * ((x \ y) / (x \ 1)). [hyper(3406,a,4194,a),flip(a)]. 4198 ((x \ 1) \ (((x \ 1) * y) / (x \ 1))) * (x \ 1) = (y / x) / (x \ 1). [hyper(189,a,4039,a(flip),b,4196,a)]. 4199 (x * y) * T((x * y) \ z,y) = ((y \ (z / x)) * y) * x. [hyper(189,a,713,a,b,4192,a(flip)),flip(a)]. 4200 x \ (((x \ 1) * y) / (x \ 1)) = ((x \ 1) * (x \ y)) * x. [hyper(189,a,476,a(flip),b,4197,a)]. 4201 x * (((x \ 1) * (x \ y)) * x) = ((x \ 1) * y) / (x \ 1). [para(4200(a,1),17(a,1,2))]. 4202 ((x \ 1) * y) / (x \ 1) != x * z | ((x \ 1) * (x \ y)) * x = z. [para(4201(a,1),22(a,1))]. 4203 (T(x,x \ T(y,z)) / y) * T(y,z) = (x / y) * T(x * (y / x),z). [hyper(189,a,4038,a(flip),b,4181,a(flip))]. 4204 x * ((((x \ 1) * y) / (x \ 1)) * (1 / x)) = (y / x) / (x \ 1). [hyper(189,a,1892,a(flip),b,4198,a(flip)),flip(a)]. 4205 x * (((x \ 1) * y) * K(x,x \ 1)) = (y / x) / (x \ 1). [para(2267(a,1),4204(a,1,2))]. 4206 (x / y) / (y \ 1) = y * ((1 / y) * x). [para(2507(a,1),4205(a,1,2)),flip(a)]. 4207 x * ((1 / x) * (y * x)) = y / (x \ 1). [para(18(a,1),4206(a,1,1)),flip(a)]. 4208 L(x,y,y \ 1) * y = x / (y \ 1). [hyper(2395,a,4207,a)]. 4209 x \ (y / (x \ 1)) = (1 / x) * (y * x). [hyper(80,a,4207,a)]. 4210 x * ((x \ 1) * y) = L(y,x,x \ 1). [hyper(21,a,651,a,b,4208,a),flip(a)]. 4211 L(x * y,y,y \ 1) = y * ((y \ x) * y). [para(486(a,1),4210(a,1,2)),flip(a)]. 4212 L(x,y,y \ 1) != z | L(x,y \ 1,y) = z. [para(4210(a,1),357(a,1))]. 4213 ((1 / x) * (y * x)) * x = ((x \ 1) * y) * (x * x). [para(4209(a,1),946(a,1,1))]. 4214 L(x * y,y,y \ 1) = x / (1 / y). [hyper(189,a,468,a(flip),b,4211,a)]. 4215 (x / y) / (1 / y) = L(x,y,y \ 1). [para(19(a,1),4214(a,1,1)),flip(a)]. 4216 L(x,y,y \ 1) * (1 / y) = x / y. [para(4215(a,1),19(a,1,1))]. 4218 (1 / x) * (x * y) != z | L(y,x \ 1,x) = z. [para(2374(a,2),4212(a,1))]. 4219 ((x \ 1) * y) / (x \ 1) = (1 / x) * (y * x). [hyper(21,a,688,a,b,4213,a),flip(a)]. 4220 L(T(x,y),y,y \ 1) = ((y \ 1) * x) / (y \ 1). [hyper(189,a,2384,a,b,4219,a),flip(a)]. 4221 ((x \ 1) * y) / (x \ 1) = x * ((x \ 1) * T(y,x)). [hyper(189,a,4210,a,b,4220,a(flip))]. 4222 ((x \ 1) * (x \ y)) * x = (x \ 1) * T(y,x). [hyper(4202,a,4221,a)]. 4223 T(x,y) = (y \ x) / (y \ 1). [hyper(652,a,4222,a(flip)),flip(a)]. 4224 T(x,y) = ((1 / y) * x) * y. [hyper(189,a,847,a(flip),b,4223,a)]. 4225 T(x,y) / y = (1 / y) * x. [hyper(76,a,4223,a,b,847,a(flip))]. 4227 T(x * y,x) = y / (x \ 1). [para(16(a,1),4223(a,2,1))]. 4228 T(x,y) * (y \ 1) = y \ x. [para(4223(a,2),19(a,1,1))]. 4229 x / T(y,x) = (1 / y) * x. [hyper(3550,a,4224,a)]. 4230 T((1 / x) \ y,x) = y * x. [hyper(189,a,91,a(flip),b,4224,a)]. 4231 (x * y) * (x \ 1) = T(y,x \ 1). [para(67(a,1),4224(a,2,1,1)),flip(a)]. 4232 T(x,y) = ((1 / x) * y) \ y. [para(4225(a,1),3553(a,1,1)),flip(a)]. 4234 T(T(x,y) * y,x) = ((x * y) / x) / (x \ 1). [para(3322(a,2),4227(a,1,1))]. 4235 K(x \ (y / (x \ 1)),x) = K(y,x). [para(4227(a,1),3677(a,1,1,2))]. 4236 K(x / (y \ 1),y) = K(y * x,y). [para(4227(a,1),3876(a,1,1))]. 4237 T(K(x,y) * z,K(x,y)) != u | z * K(x,y) = u. [para(4227(a,2),3943(a,1))]. 4238 x \ ((x * y) / x) = y * (x \ 1). [para(142(a,1),4228(a,1,1)),flip(a)]. 4240 x / T(y \ 1,x) = y * x. [hyper(189,a,126,a(flip),b,4229,a)]. 4241 (1 / x) * y != z | T(y,x) / x = z. [para(4229(a,1),3580(a,1))]. 4242 T(x \ y,x \ 1) = y * (x \ 1). [para(67(a,1),4230(a,1,1,1))]. 4243 ((1 / x) \ y) * x = x * (y * x). [para(4230(a,1),113(a,1,2)),flip(a)]. 4244 T(x \ 1,y) = (x * y) \ y. [para(67(a,1),4232(a,2,1,1))]. 4245 T(x \ 1,x) = 1 / x. [hyper(189,a,1888,a(flip),b,4244,a)]. 4246 T(x \ 1,x \ y) = y \ (x \ y). [hyper(189,a,245,a(flip),b,4244,a)]. 4247 T((x / y) \ 1,y) = x \ y. [para(19(a,1),4244(a,2,1))]. 4248 T(T(x,y) \ 1,y \ 1) = (y \ x) \ (y \ 1). [para(4228(a,1),4244(a,2,1))]. 4249 ((x \ 1) \ 1) \ 1 = 1 / x. [hyper(3540,a,4245,a)]. 4250 1 / (1 / x) = (x \ 1) \ 1. [para(4245(a,1),633(a,1,2))]. 4251 ((x / y) \ 1) * y = y * (x \ y). [para(4247(a,1),113(a,1,2)),flip(a)]. 4252 K((x / y) \ 1,y) = K(x \ y,y). [para(4247(a,1),3876(a,1,1)),flip(a)]. 4253 T((x \ 1) \ 1,y) \ 1 = 1 / T(x,y). [para(2095(a,1),4249(a,1,1))]. 4254 K(1 / x,y) != z | K(x \ 1,y) = z. [para(4249(a,1),2659(a,1,1))]. 4255 ((x \ 1) \ 1) \ 1 != y | 1 / x = y. [para(4250(a,1),236(a,1,1)),flip(b)]. 4257 K(x * (y \ 1),y) = K(y \ x,y). [para(18(a,1),4235(a,1,1,2)),flip(a)]. 4258 ((x * y) / x) \ x = x * (y \ 1). [hyper(189,a,3697,a,b,4238,a(flip)),flip(a)]. 4259 x * (y * (x \ 1)) = (x * y) / x. [para(4238(a,1),17(a,1,2))]. 4261 L(x,y,x) * y = (1 / x) \ y. [hyper(21,a,3599,a,b,4243,a),flip(a)]. 4262 K(x \ (y \ x),y \ x) = K(y \ 1,y \ x). [para(4246(a,1),3876(a,1,1))]. 4263 ((x \ 1) \ y) / y = ((x \ y) / y) \ 1. [hyper(76,a,3631,a(flip),b,4251,a)]. 4264 K(x * (1 / y),y) = K(y \ x,y). [hyper(189,a,3123,a,b,4257,a(flip)),flip(a)]. 4265 x * (T(y,x) \ 1) = y \ x. [para(143(a,1),4258(a,1,1)),flip(a)]. 4266 T(K(x,y),z) \ 1 = T(K(y,x),z). [hyper(147,a,3889,a(flip),b,4265,a),flip(a)]. 4267 T(x,y) \ 1 = y \ (x \ y). [hyper(80,a,4265,a),flip(a)]. 4268 T(T(x,y) \ 1,y \ 1) = (x \ y) * (y \ 1). [para(4265(a,1),4231(a,1,1)),flip(a)]. 4269 T(x,y) = 1 / (y \ (x \ y)). [para(4267(a,1),67(a,1,2)),flip(a)]. 4270 x / (T(y,x) \ 1) = (1 / y) \ x. [para(4267(a,2),3641(a,1,2))]. 4271 ((x * y) \ y) \ 1 = y \ ((x \ 1) \ y). [para(4244(a,1),4267(a,1,1))]. 4272 T(x / y,x) = 1 / (x \ y). [para(69(a,1),4269(a,2,2,2))]. 4273 ((x \ y) * x) * (y \ 1) = K(x \ y,x). [hyper(20,a,3777,a(flip),b,4259,a)]. 4274 ((x * y) / x) * L(z,y * (x \ 1),x) = x * ((y * (x \ 1)) * z). [para(4259(a,1),102(a,1,1))]. 4275 K((x \ 1) \ y,x \ 1) = K(y * x,x \ 1). [para(67(a,1),4264(a,1,1,2)),flip(a)]. 4276 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(4266(a,1),369(a,1,2)),flip(a)]. 4277 x / (T(y \ 1,x) \ 1) = y \ x. [para(67(a,1),4270(a,2,1))]. 4278 x / ((y \ x) \ 1) = (y / x) \ x. [para(4247(a,1),4277(a,1,2,1))]. 4279 ((x / y) \ y) \ y = (x \ y) \ 1. [para(4278(a,1),69(a,1,1))]. 4281 L(x,y,y \ 1) != z | T(y * x,y) / y = z. [para(2374(a,1),4241(a,1))]. 4282 K(x,y) != z | K((x \ 1) \ 1,y) = z. [para(67(a,1),4254(a,1,1))]. 4284 L(K(x,y),z,u) \ 1 != w | 1 / L(K(x,y),z,u) = w. [para(2194(a,1),4255(a,1,1))]. 4285 x / (1 / T(y,x)) = (y \ 1) \ x. [para(4253(a,1),4277(a,1,2))]. 4286 ((x \ 1) \ y) \ y = 1 / T(x,y). [para(4285(a,1),69(a,1,1))]. 4287 1 / T(x,x \ y) = T(x \ 1,y). [hyper(189,a,3691,a(flip),b,4286,a(flip))]. 4288 x / (1 / T(y,x)) != z | (y \ 1) \ x = z. [para(4286(a,1),246(a,1,2)),flip(b)]. 4289 ((x \ y) * x) / y = K(x \ y,x). [hyper(189,a,3465,a(flip),b,4273,a(flip)),flip(a)]. 4290 K(x \ (x * y),x) = (y * x) * ((x * y) \ 1). [para(16(a,1),4273(a,1,1,1)),flip(a)]. 4291 K(x \ y,x) * y = (x \ y) * x. [para(4289(a,1),19(a,1,1))]. 4293 K(x,x \ y) * ((x \ y) * x) = y. [hyper(3907,a,4291,a)]. 4294 x / ((y \ x) * y) = K(y,y \ x). [para(4291(a,1),3905(a,1,2))]. 4295 (x \ y) * K(x,x \ y) = y / x. [hyper(76,a,4293,a(flip),b,3832,a),flip(a)]. 4296 K(x,x \ y) * (x \ y) = y / x. [hyper(76,a,4293,a(flip),b,3820,a),flip(a)]. 4298 (x * (y / x)) / y = K(x,x \ y). [hyper(189,a,3805,a,b,4294,a(flip)),flip(a)]. 4301 K(x,x \ y) / (y / x) = 1 / (x \ y). [para(4295(a,1),2937(a,1,2))]. 4302 (x \ y) * (K(x,x \ y) * z) = (y / x) * z. [para(4295(a,1),3828(a,1,1)),flip(a)]. 4303 K(x,x \ y) * ((x \ y) * z) = (y / x) * z. [para(4295(a,1),3832(a,1,1)),flip(a)]. 4304 (x / y) * ((y \ x) \ z) = K(y,y \ x) * z. [para(4295(a,1),3840(a,1,1))]. 4305 (x \ y) * K(x,y / x) = y / x. [para(3873(a,2),4295(a,1,2))]. 4308 K(x \ y,x) * ((x \ y) \ z) = (y / x) \ z. [para(4295(a,1),3968(a,1,1)),flip(a)]. 4310 (x * K(x \ y,x)) \ y = y / x. [hyper(189,a,3968,a,b,4296,a(flip)),flip(a)]. 4312 K(x,y / x) * (x \ y) = y / x. [para(3873(a,2),4296(a,1,1))]. 4314 K(x,x \ y) * y = x * (y / x). [para(4298(a,1),19(a,1,1))]. 4318 x / (x / y) = y * K(y \ x,y). [para(4310(a,1),67(a,1,2))]. 4320 T(x,K(y,y \ x)) = x. [hyper(3947,a,4314,a)]. 4321 K(x \ y,x) * (x * (y / x)) = y. [hyper(3907,a,4314,a)]. 4323 (x * (y / x)) \ (K(x,x \ y) * (y * z)) != u | L(z,y,K(x,x \ y)) = u. [para(4314(a,1),355(a,1,1))]. 4324 K(x,y / x) * y = x * (y / x). [para(3873(a,2),4314(a,1,1))]. 4325 x / (x / y) = K(y \ x,y) * y. [hyper(189,a,2754,a,b,4318,a)]. 4326 ((x \ y) * x) \ (y / (y / x)) = y \ x. [hyper(75,a,4318,a,b,1209,a)]. 4329 (x * y) / ((x * y) / x) = x * K(y,x). [para(16(a,1),4318(a,2,2,1))]. 4331 (x \ y) * K((x \ y) \ y,x \ y) = y / x. [para(67(a,1),4318(a,1,2)),flip(a)]. 4334 R(x * K(x \ y,x),z,u) * (y / x) = (y / x) * R(x,z,u). [para(4318(a,1),514(a,1,1,1))]. 4335 T(x,y) * K(T(x,y) \ y,T(x,y)) = y / (T(y,x) / x). [para(3523(a,2),4318(a,1,2)),flip(a)]. 4336 T(x * K(x \ y,x),y) = L(x,x \ y,x). [para(4318(a,1),3643(a,1,1))]. 4337 T(x,y) / (T(x,y) / y) = y * K(y \ x,y). [para(3678(a,1),4318(a,2,2))]. 4340 (x / (x / y)) \ 1 = y \ K(y,y \ x). [para(4318(a,2),3900(a,1,1))]. 4343 ((x * (y / x)) \ T((x * (y / x)) * K(x \ y,x),z)) * (x * (y / x)) = T(y,z). [para(4321(a,1),4160(a,2,1))]. 4344 K(x,y \ 1) * (y \ x) = x * ((y \ x) / x). [para(3738(a,1),4324(a,1,1))]. 4345 K(x,x \ y) * (y / (y / x)) = x. [hyper(3907,a,4325,a(flip))]. 4350 K(x,y) = T(y,x) \ y. [hyper(3389,a,4329,a),flip(a)]. 4351 K(x,y) = T(y,T(x,y)) \ y. [hyper(3938,a,4350,a)]. 4352 K(x \ (x / y),x) = K(y \ 1,x). [hyper(189,a,3567,a,b,4350,a),flip(a)]. 4353 K(x,y) = (x * y) / (y * x). [hyper(189,a,3502,a,b,4350,a)]. 4354 K(x,y) = ((y * x) / y) \ x. [hyper(189,a,3290,a,b,4350,a)]. 4355 K(x,y) = (1 / T(y,x)) * y. [hyper(189,a,2743,a,b,4350,a)]. 4356 K(x,y) = y / T(y,x). [hyper(189,a,2742,a,b,4350,a)]. 4357 K(x,y) = (T(y,x) \ 1) * T(y,y \ 1). [hyper(189,a,2540,a,b,4350,a)]. 4358 K(x,y) = y * (T(y,x) \ 1). [hyper(189,a,987,a,b,4350,a)]. 4359 x * T(x \ 1,y) = K(x \ 1,y). [hyper(189,a,3568,a(flip),b,4350,a),flip(a)]. 4360 K(x,y) = x \ T(x,y). [hyper(189,a,3542,a(flip),b,4350,a)]. 4362 K(x,y) / y = 1 / T(y,x). [hyper(76,a,4350,a,b,2743,a)]. 4363 (T(x,y) \ 1) \ K(y,x) = T(x,x \ 1). [hyper(75,a,4350,a,b,2540,a)]. 4364 T(x,y) \ 1 = x \ K(y,x). [hyper(75,a,4350,a,b,987,a),flip(a)]. 4365 T(x,y) * K(y,x) = x. [para(4350(a,2),17(a,1,2))]. 4366 R(T(x,y),z,u) \ R(x,z,u) = K(y,R(x,z,u)). [para(45(a,2),4350(a,2,1)),flip(a)]. 4367 T(x,y) = x / K(y,x). [para(4350(a,2),67(a,1,2)),flip(a)]. 4369 (x \ 1) * K(y,x) = T(x,y) \ 1. [para(4350(a,2),2738(a,1,2))]. 4370 K(x,y) * T(y,x) = y. [para(4350(a,2),2745(a,1,1))]. 4371 T(x,y) = K(y,x) \ x. [para(4350(a,2),2746(a,1,1)),flip(a)]. 4372 K(x,y) * ((y * x) / y) = x. [para(4350(a,2),3291(a,1,1))]. 4373 K(x,y) * (y * x) = x * y. [para(4350(a,2),3500(a,1,1))]. 4374 T(x * K(y,x),y) = x. [para(4350(a,2),3543(a,1,1,2))]. 4375 (x * y) / x = y * K(x,y). [para(4350(a,2),3544(a,2,2))]. 4376 x * (K(x,y) * z) = T(x,y) * z. [para(4350(a,2),3546(a,1,2,1))]. 4377 T(x,y) * (x \ z) = K(x,y) * z. [para(4350(a,2),3571(a,2,1))]. 4378 K(x / y,z) * x = y * T(y \ x,z). [para(4350(a,2),3623(a,1,1))]. 4379 ((x * y) / x) \ x = y \ (x * K(y,x)). [para(4350(a,2),3683(a,1,2,2)),flip(a)]. 4381 x * ((y \ (x \ y)) * y) = y * K(x \ 1,y). [para(4350(a,2),3630(a,1,2)),flip(a)]. 4382 x * (T(x,y) \ z) = K(y,x) * z. [para(4350(a,2),3979(a,1,1)),flip(a)]. 4383 K(x,y) * (T(y,x) * z) = y * z. [para(4350(a,2),3980(a,1,1))]. 4384 x * K(y,x) != z | (y * x) / y = z. [para(4350(a,2),4000(a,1,2))]. 4385 T(x,y) / T(T(x,z),y) = K(z,T(x,y)). [para(41(a,1),4356(a,2,2)),flip(a)]. 4386 K(x,y) \ y != z | T(y,x) = z. [para(4356(a,2),236(a,1,1)),flip(b)]. 4387 ((x \ (y * T(x,z))) * x) / T(x,z) = K(z,x) * T((x / T(x,z)) \ y,x). [para(4356(a,2),1579(a,1,1)),flip(a)]. 4388 x * ((y * (x \ 1)) / y) = K(y,x \ 1). [hyper(189,a,3285,a,b,4360,a),flip(a)]. 4390 K(x,y) = (1 / x) * T(x,y). [hyper(189,a,2802,a,b,4360,a)]. 4391 K(x,y) = T(x,y) * (x \ 1). [hyper(189,a,773,a,b,4360,a)]. 4392 x * T(x \ 1,y) = K(1 / x,y). [hyper(189,a,765,a(flip),b,4360,a),flip(a)]. 4393 x \ K(y,x \ 1) = (y * (x \ 1)) / y. [hyper(75,a,4360,a,b,3285,a)]. 4395 K(x \ (x * y),z) = y \ T(y,z). [hyper(189,a,1215,a,b,4360,a(flip)),flip(a)]. 4396 T(x,y) = x * K(x,y). [para(4360(a,2),17(a,1,2)),flip(a)]. 4397 L(x,y,z) \ L(T(x,u),y,z) = K(L(x,y,z),u). [para(43(a,2),4360(a,2,2)),flip(a)]. 4398 R(x,y,z) \ R(T(x,u),y,z) = K(R(x,y,z),u). [para(45(a,2),4360(a,2,2)),flip(a)]. 4399 x * K(x,y) != z | T(x,y) = z. [para(4360(a,2),203(a,1,2)),flip(b)]. 4401 K(x,y) * ((x \ 1) \ z) = z * T(z \ ((x \ 1) \ z),y). [para(4360(a,2),918(a,1,1))]. 4402 K(a(x,y,z),z \ L(z,y,x)) = a(x,y,z) \ ((a(x,y,z) \ 1) \ 1). [para(2218(a,1),4360(a,2,2))]. 4403 T(x,y) = K(x,y) * x. [para(4360(a,2),2799(a,1,1)),flip(a)]. 4404 K(x,y) * x != z | T(x,y) = z. [para(4360(a,2),2803(a,1,1))]. 4405 (x * K(y,x)) * y = y * x. [para(4360(a,2),3279(a,1,1,2))]. 4407 K(x,y) * (x * z) = T(x,y) * z. [para(4360(a,2),3477(a,1,1))]. 4408 x \ T(x,x * y) = K(x,y * x). [para(3507(a,1),4360(a,2,2)),flip(a)]. 4412 T(x,y) * (K(y,x) * z) = x * z. [para(4365(a,1),3837(a,1,1)),flip(a)]. 4413 x \ T(x,y) != z | K(x,y) = z. [para(4365(a,1),3922(a,1,1))]. 4414 T(x,y) != z | x * K(x,y) = z. [para(4367(a,2),3930(a,1))]. 4415 x / T(x,y) != z | K(y,x) = z. [para(4370(a,1),248(a,1,1)),flip(b)]. 4416 T(x,(y \ x) \ 1) = T(x,x \ y). [hyper(189,a,3651,a,b,4371,a),flip(a)]. 4417 T(x,y) = (K(y,x) / x) \ 1. [hyper(189,a,3079,a,b,4371,a)]. 4419 K(x \ y,x) * R(T(x,x \ y),z,u) = y \ ((R(x,z,u) * (x \ y)) * x). [para(4371(a,2),2021(a,1,2,1))]. 4420 T(T(x * K(y,x),z),y) = T(x,z). [para(4374(a,1),41(a,1,1)),flip(a)]. 4422 (x * y) / x != z | y * K(x,y) = z. [para(4374(a,1),250(a,1,1,2)),flip(b)]. 4423 T(x * K(y,x),z) * y = y * T(x,z). [para(4374(a,1),158(a,1,2,1)),flip(a)]. 4424 T(x * K(y,x),z) = (y * T(x,z)) / y. [para(4374(a,1),178(a,1,1,2,1)),flip(a)]. 4425 L(x * K(y,x),z,u) * y = y * L(x,z,u). [para(4374(a,1),159(a,1,2,1)),flip(a)]. 4426 R(x * K(y,x),z,u) * y = y * R(x,z,u). [para(4374(a,1),160(a,1,2,1)),flip(a)]. 4427 R(T(x * K(y,x),z),u,w) * y = y * R(T(x,z),u,w). [para(4374(a,1),509(a,1,2,1,1)),flip(a)]. 4428 T(x * K(y,x),R(x * K(y,x),z,u) * y) = L(x,y,R(x * K(y,x),z,u)). [para(4374(a,1),1287(a,1,1)),flip(a)]. 4429 K(x,y * K(x,y)) = K(x,y). [para(4374(a,1),3874(a,1,2)),flip(a)]. 4430 K(x * K(y,x),y) = K(x,y). [para(4374(a,1),3876(a,1,1)),flip(a)]. 4431 T(x * K(y,x),T(y,x)) = x. [para(3876(a,1),4374(a,1,1,2))]. 4432 x * K(K(y,z),x) = T(x,K(z,y)). [para(4374(a,1),3959(a,1,1)),flip(a)]. 4433 x * K(x,y \ x) = T(x,x / y). [hyper(3341,a,4396,a),flip(a)]. 4436 T(x,y) != x * z | K(x,y) = z. [para(4396(a,2),22(a,1))]. 4440 (x * y) * K(y,z) != u * T(y,z) | R(x,y,K(y,z)) = u. [para(4396(a,2),376(a,2,2))]. 4442 (1 / x) * K(x \ 1,y) = T(1 / x,y). [para(2647(a,1),4396(a,2,2)),flip(a)]. 4443 T(x,T((y \ 1) \ 1,z)) = T(x,y * K(y,z)). [para(4396(a,1),2676(a,2,2))]. 4444 T(x,y) / (y \ x) = y * K(x,y). [hyper(76,a,4403,a,b,3840,a)]. 4445 T(K(x,y),z) * K(y,x) = K(K(x,y),z). [hyper(3929,a,4403,a(flip))]. 4446 K(L(x,y,z),u) * L(x,y,z) = L(T(x,u),y,z). [hyper(189,a,43,a,b,4403,a(flip))]. 4448 R(T(x,y),z,u) / R(x,z,u) = K(R(x,z,u),y). [hyper(76,a,45,a,b,4403,a(flip))]. 4451 x * (K(y,x) * y) = y * x. [para(4403(a,1),113(a,1,2))]. 4453 (x * K(y,z)) \ (x * T(y,z)) != u | L(y,K(y,z),x) = u. [para(4403(a,2),355(a,1,2,2))]. 4455 (T(x,y) * y) / T(x,y) = y * K(x,y). [para(4351(a,2),3544(a,2,2))]. 4457 R(T(K(x,y),(y * x) * z),y * x,z) = ((y * x) * z) \ ((x * y) * z). [para(4353(a,2),720(a,1,1,1))]. 4458 (x * y) \ T((x * y) * K(y,x),z) = T(y * x,z) / (x * y). [para(4353(a,2),4154(a,1,2,1,2))]. 4459 K(x,x \ 1) / ((y * x) \ y) = 1 / T((y * x) \ y,x). [hyper(76,a,1990,a(flip),b,4355,a(flip))]. 4461 T(x \ 1,y) * x = K(x \ y,x). [para(4287(a,1),4355(a,2,1)),flip(a)]. 4462 L(T(x \ y,z) \ 1,x \ y,x) = y \ (x * K(z,x \ y)). [para(4358(a,2),103(a,1,2,2)),flip(a)]. 4463 K(x,y) * T(K(y,x),z) = K(z,K(x,y)). [para(4266(a,1),4358(a,2,2)),flip(a)]. 4465 ((x \ y) \ y) \ 1 = x \ K(x \ y,x). [hyper(189,a,523,a(flip),b,4364,a(flip)),flip(a)]. 4466 T(x,y) = 1 / (x \ K(y,x)). [para(4364(a,1),67(a,1,2)),flip(a)]. 4467 1 / (x \ K(y,x)) != z | T(x,y) = z. [para(4364(a,1),246(a,1,2)),flip(b)]. 4468 (x * y) / x = K(x,y) * y. [hyper(3907,a,4372,a),flip(a)]. 4469 K(x,y) = x / ((y * x) / y). [hyper(88,a,4372,a),flip(a)]. 4470 K(L(x,y,z),z * y) * ((z * (y * x)) / (z * y)) = L(x,y,z). [para(102(a,1),4372(a,1,2,1))]. 4472 K(L(x,y,z),z * y) * (z * (y * x)) = L(x,y,z) * (z * y). [para(102(a,1),4373(a,1,2))]. 4473 (x * (y * x)) / (x * y) = x * K(y,x). [para(4373(a,1),3829(a,1,1,2))]. 4474 (x * y) * K(T(y,x),x * y) = T(y,x * y) * T(x,y). [hyper(3813,a,4375,a),flip(a)]. 4475 T(x,y) * K(x * y,T(x,y)) = R(x,y,x). [hyper(3666,a,4375,a),flip(a)]. 4476 T((x * y) / x,z) = T(y,z) * K(x,T(y,z)). [hyper(332,a,4375,a)]. 4477 (x \ 1) \ K(y,x) = (y * ((x \ 1) \ 1)) / y. [hyper(189,a,3086,a(flip),b,4375,a),flip(a)]. 4478 (x * y) \ ((x * y) / x) = L(x \ 1,x,y). [hyper(75,a,4375,a,b,1214,a)]. 4479 x * ((y * z) / y) = x * (z * K(y,z)). [hyper(24,a,4375,a)]. 4480 x \ T(x * y,y) = y * K(x * y,y). [hyper(189,a,3338,a(flip),b,4375,a(flip)),flip(a)]. 4481 (x * y) / x != y * z | K(x,y) = z. [para(4375(a,2),22(a,1))]. 4482 T(x * K(y,x),y) != z | z = x. [para(4375(a,1),242(a,1,1))]. 4483 ((x * y) * z) / R(x,y,z) = (y * z) * K(R(x,y,z),y * z). [para(110(a,1),4375(a,1,1))]. 4484 R(x * K(y,x),y,z) = ((y * x) * z) / (y * z). [para(4375(a,1),111(a,1,1))]. 4485 T(x * K(y,x),x * y) = L(x,y,x). [para(4375(a,1),563(a,1,1))]. 4486 T(T(x * K(y,x),z),y) != u | T(x,z) = u. [para(4375(a,1),548(a,1,1,1))]. 4487 T(x * K(y * x,x),y) = R(x,y,x). [para(4375(a,1),603(a,2,1)),flip(a)]. 4488 L(x * K(y,x),z,u) = (y * L(x,z,u)) / y. [para(4375(a,1),662(a,1,1))]. 4489 R(x * K(y,x),z,u) = (y * R(x,z,u)) / y. [para(4375(a,1),670(a,1,1))]. 4490 L(x * K(y * z,x),z,y) = (y * (z * x)) / (y * z). [para(4375(a,1),663(a,1,1))]. 4491 ((x * y) * L(y,z,u)) / (x * L(y,z,u)) = y * K(x * L(y,z,u),y). [para(1248(a,1),4375(a,1,1))]. 4492 ((x * y) * T(y,z)) / (x * T(y,z)) = y * K(x * T(y,z),y). [para(1476(a,1),4375(a,1,1))]. 4493 ((x * y) * R(y,z,u)) / (x * R(y,z,u)) = y * K(x * R(y,z,u),y). [para(1643(a,1),4375(a,1,1))]. 4494 ((x * y) * R(T(x,y),z,u)) / (R(x,z,u) * y) = T(x,y) * K(R(x,z,u) * y,T(x,y)). [para(1664(a,1),4375(a,1,1))]. 4496 ((x * y) / x) * z = y * (K(x,y) * z). [para(4375(a,2),3828(a,1,1))]. 4497 ((x * y) / x) \ 1 = y \ K(y,x). [para(4375(a,2),3900(a,1,1))]. 4499 (x \ (y * K(x,y))) * x = (x \ y) * T(x,y). [para(4375(a,1),4196(a,1,1,2))]. 4503 (x * T(y,z)) \ (x * K(y,z)) != u | L(y \ 1,T(y,z),x) = u. [para(4391(a,2),355(a,1,2,2))]. 4504 T(x,y) * K(y * R(x,z,u),T(x,y)) = R(x,y,R(x,z,u)). [hyper(21,a,1667,a,b,4405,a)]. 4505 T(x,y) * K(y * x,T(x,y)) = R(x,y,x). [hyper(21,a,614,a,b,4405,a)]. 4506 ((x * y) * z) / (x * z) != u | R(y * K(x,y),x,z) = u. [para(4405(a,1),385(a,1,1,1))]. 4507 L(x * K(y,x),K(x * K(y,x),y),z) = (z * K(x,y)) \ (z * x). [para(4430(a,2),3904(a,1,2))]. 4508 L(x * K(y,x),z,u) * T(y,x) = T(y,x) * L(x,z,u). [para(4431(a,1),159(a,1,2,1)),flip(a)]. 4509 (x * y) \ (y * (K(x,y) * (x * z))) = L(z,x,y * K(x,y)). [para(4451(a,1),4029(a,1,1))]. 4510 ((x * ((y * z) / y)) / x) / ((x * z) / x) = K(y,(x * z) / x). [hyper(76,a,760,a,b,4468,a(flip))]. 4511 K(x,y) / x = 1 / ((y * x) / y). [hyper(76,a,4469,a,b,1594,a)]. 4513 L(x,y,z) \ L(T(x,u),y,z) != w | K(L(x,y,z),u) = w. [para(43(a,2),4413(a,1,2))]. 4514 R(x,y,z) \ R(T(x,u),y,z) != w | K(R(x,y,z),u) = w. [para(45(a,2),4413(a,1,2))]. 4516 x * T(x \ 1,y) != z | K(x \ 1,y) = z. [para(2638(a,1),4413(a,1))]. 4517 K(x \ (x / y),x) != z | K(y \ 1,x) = z. [para(2641(a,2),4413(a,1))]. 4519 T(x,y) / T(T(x,z),y) != u | K(z,T(x,y)) = u. [para(41(a,1),4415(a,1,2))]. 4520 R(x * T(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). [hyper(2012,a,4352,a)]. 4521 L(x * T(x \ 1,y),z,u) = K(L(x,z,u) \ 1,y). [hyper(189,a,1973,a,b,4352,a(flip)),flip(a)]. 4522 T(x * T(x \ 1,y),z) = K(T(x,z) \ 1,y). [hyper(189,a,1374,a,b,4352,a(flip)),flip(a)]. 4523 x \ (y * T(y \ x,z)) = K((x \ y) \ 1,z). [hyper(189,a,1075,a(flip),b,4352,a(flip)),flip(a)]. 4524 x * T(x \ y,z) = y * K((y \ x) \ 1,z). [para(4352(a,1),1074(a,2,2))]. 4525 (x \ y) * K(((x \ y) \ (x \ 1)) \ 1,z) = x \ T(y,z). [para(4352(a,1),1077(a,1,2))]. 4526 K((x / y) \ 1,z) * y = x * T(x \ y,z). [para(4352(a,1),1584(a,1,1))]. 4527 ((x \ (1 / y)) * x) * y = K((x * y) \ 1,x). [hyper(189,a,1165,a(flip),b,4359,a(flip)),flip(a)]. 4528 (x * y) * T((x * y) \ x,z) = x * K(y \ 1,z). [para(4359(a,1),569(a,2,2))]. 4530 K(x \ 1,y) * (x \ z) = z * T(z \ (x \ z),y). [para(4359(a,1),909(a,1,1))]. 4531 (x * y) * T((x * y) \ y,z) = K(x \ 1,z) * y. [para(4359(a,1),1119(a,2,1))]. 4532 x * (y * T(y \ (x \ y),z)) = K(x \ 1,z) * y. [para(4359(a,1),1125(a,2,1))]. 4533 (x * y) * (z * T(z \ L(y \ z,y,x),u)) = (x * K(y \ 1,u)) * z. [para(4359(a,1),1858(a,2,1,2))]. 4534 (T(1 / x,y) \ 1) / K(y,1 / x) = x. [hyper(76,a,4369,a(flip),b,131,a(flip))]. 4535 (x * (y \ 1)) \ (x * (T(y,z) \ 1)) = L(K(z,y),y \ 1,x). [para(4369(a,1),31(a,2,2,2)),flip(a)]. 4536 K(x,y) = (T(x,y) \ 1) \ (x \ 1). [para(4369(a,1),3918(a,1,1)),flip(a)]. 4537 (T(x,y) \ 1) \ (x \ 1) != z | K(x,y) = z. [para(4369(a,1),3922(a,1,1))]. 4539 K(x,K(y,z)) * K(z,y) = T(K(z,y),x). [hyper(147,a,3958,a(flip),b,4376,a),flip(a)]. 4540 x \ (T(x,y) * z) = K(x,y) * z. [hyper(80,a,4376,a)]. 4541 K(x,y) * (T(x,y) \ z) = x \ z. [hyper(75,a,17,a(flip),b,4376,a),flip(a)]. 4542 K(x,y) * (z * x) = T(x,y) * T(z,x). [hyper(20,a,981,a,b,4376,a)]. 4543 K(x,y) * T(y,y * x) = L(y,x,y). [hyper(20,a,3720,a(flip),b,4376,a)]. 4544 (x * ((K(x,y) * z) * u)) \ ((T(x,y) * z) * u) = a(x,K(x,y) * z,u). [para(4376(a,1),27(a,2,2,1)),flip(a)]. 4545 x * (K(y,x) * K(x,z)) = T(x,z) * K(y,x). [para(1959(a,1),4376(a,1,2))]. 4546 (K(x,y) * z) \ T(T(x,y) * z,x) != u | R(x,K(x,y) * z,x) = u. [para(4376(a,1),3672(a,1,2,1))]. 4547 (x \ y) / (T(x,z) \ y) = K(x,z). [hyper(1007,a,4377,a)]. 4548 (x \ y) * T((x \ y) \ y,z) = K(x,z) * y. [hyper(735,a,4377,a)]. 4550 (K(x,y) * z) / (x \ z) = T(x,y). [hyper(88,a,4377,a)]. 4551 x \ (K(y,x) * z) = T(x,y) \ z. [hyper(75,a,3887,a(flip),b,4377,a),flip(a)]. 4552 x * (K(x,y) * (x \ z)) = K(x,y) * z. [hyper(189,a,4376,a,b,4377,a(flip)),flip(a)]. 4553 (x * y) / (T(x,z) * y) = K(z,x). [hyper(76,a,3988,a(flip),b,4377,a(flip))]. 4555 (K(x,y) * z) / (x \ z) != u | T(x,y) = u. [para(4377(a,1),248(a,1,1)),flip(b)]. 4556 (x * y) \ (y * (K(x,y) * z)) = L(x \ z,T(x,y),y). [para(4377(a,1),153(a,1,2,2))]. 4557 K(x,y) * T(x,z) = T(x,y) * K(x,z). [para(4360(a,2),4377(a,1,2)),flip(a)]. 4558 K(x,y) * (y \ z) = T(y,x) \ z. [hyper(1006,a,4382,a),flip(a)]. 4561 K(x,y) * (y \ z) != u | T(y,x) \ z = u. [para(4382(a,1),1006(a,1))]. 4562 K(x,y) * T(T(y,x),z) = y * K(T(y,x),z). [para(4360(a,2),4382(a,1,2)),flip(a)]. 4563 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(4383(a,1),348(a,1,1)),flip(a)]. 4564 K(x,y) * (x * z) != u | T(x,y) * z = u. [para(4383(a,1),3914(a,1,2)),flip(b)]. 4566 K(x \ (x * y),z) != u | K(y,z) = u. [para(4395(a,2),4413(a,1))]. 4569 K(x,y) \ (z * T(x,y)) = x * T(z,T(x,y)). [hyper(75,a,113,a(flip),b,4407,a)]. 4570 x \ (T(x,y) * y) = y * K(x,y). [hyper(75,a,4407,a(flip),b,3715,a(flip))]. 4571 T(x,y) * (x \ z) != u | K(x,y) * z = u. [para(4407(a,1),254(a,1))]. 4572 ((T(x,y) * z) * u) / ((x * z) * u) != w | R(K(x,y),x * z,u) = w. [para(4407(a,1),385(a,1,1,1))]. 4574 (T(x,y) * z) \ (K(x,y) * (x * (z * u))) = L(L(u,z,x),x * z,K(x,y)). [para(4407(a,1),348(a,1,1))]. 4576 K(x,y * x) = K(x,x * y). [hyper(4413,a,4408,a),flip(a)]. 4577 K(x,y * x) != z | K(x,x * y) = z. [para(4408(a,1),4413(a,1))]. 4578 K(x,x * (y / x)) = K(x,y). [para(19(a,1),4576(a,1,2)),flip(a)]. 4579 K(x,T(y * x,z)) = K(x,T(x * y,z)). [para(4159(a,1),4578(a,1,2)),flip(a)]. 4580 K(x \ y,T((x \ y) * x,z)) = K(x \ y,T(y,z)). [para(4172(a,1),4578(a,1,2))]. 4581 K(x,y / z) * (z * T(z \ y,x)) = y. [hyper(1067,a,4412,a)]. 4583 T(x,y) * (K(y,x) * K(z,z \ x)) = z * (x / z). [hyper(189,a,3903,a(flip),b,4412,a)]. 4584 T(x,y) / (K(z,x) * K(x,y)) = T(x,z). [hyper(76,a,4396,a,b,4412,a)]. 4586 T(x,y) * z != x * u | K(y,x) * u = z. [para(4412(a,1),22(a,1)),flip(a)]. 4587 T(x,y) \ (x * z) != u | K(y,x) * z = u. [para(4412(a,1),237(a,1,2)),flip(b)]. 4588 T(x,x \ y) / (y \ x) = ((1 / (y \ x)) \ y) * (1 / (y \ x)). [para(4416(a,1),2698(a,1,1))]. 4591 K(K(x,y),z) = K(z,K(y,x)). [hyper(20,a,4396,a(flip),b,4432,a)]. 4592 T(T(x,K(y,z)),K(z,y)) != u | u = x. [para(4432(a,1),4482(a,1,1))]. 4593 K(x,K(y,z)) \ 1 = K(x,K(z,y)). [hyper(3952,a,4591,a)]. 4594 K(x,K(y,z)) \ 1 != u | K(x,K(z,y)) = u. [para(4591(a,1),3872(a,1,1))]. 4595 K(x,y) * K(z,K(y,x)) = T(K(x,y),z). [para(4591(a,1),4396(a,2,2)),flip(a)]. 4596 K(x,x / y) = K(x,y \ x). [hyper(20,a,4396,a(flip),b,4433,a),flip(a)]. 4597 K(x,(y \ x) \ x) = K(x,y). [para(67(a,1),4596(a,1,2)),flip(a)]. 4598 K(x,x / (x / y)) = K(x,y). [para(69(a,1),4596(a,2,2))]. 4599 K(x * y,T(y,x)) = K(x * y,y). [para(3555(a,2),4597(a,1,2))]. 4600 T(x * y,y) / T(x,y) = y * K(x * y,y). [para(35(a,2),4444(a,1,2))]. 4601 (x \ y) * T((x \ y) \ T(y,x),z) = T(x * K(y,x),z) * (x \ y). [para(4444(a,1),323(a,1,1,1)),flip(a)]. 4602 T(x \ 1,x * y) = K(y,x) / x. [hyper(76,a,1215,a(flip),b,4461,a),flip(a)]. 4603 (x \ 1) \ K(x \ y,x) = K(x \ 1,y) * x. [hyper(75,a,4461,a(flip),b,4376,a)]. 4604 1 / (x * K(y,x)) = K(x,y) / x. [para(4375(a,1),4511(a,2,2)),flip(a)]. 4605 (x \ K(y,x)) \ (x \ 1) = K(x,y). [para(4364(a,1),4536(a,2,1)),flip(a)]. 4606 K(x,y) * z != u | T(x,y) * (x \ z) = u. [para(4540(a,1),983(a,1))]. 4607 x \ y != K(x,z) * u | T(x,z) \ y = u. [para(4541(a,1),22(a,1))]. 4608 K(x,x \ y) * (((x \ y) \ y) \ z) = x \ z. [para(114(a,1),4541(a,1,2,1))]. 4610 (L(x,y,z) \ u) / (L(T(x,w),y,z) \ u) = K(L(x,y,z),w). [para(43(a,2),4547(a,1,2,1))]. 4613 (R(x,y,z) * u) / (R(T(x,w),y,z) * u) = K(w,R(x,y,z)). [para(45(a,2),4553(a,1,2,1))]. 4615 (T(x,y) * y) / ((T(x,y) * y) / x) = x * K(y * K(x,y),x). [para(4570(a,1),4318(a,2,2,1))]. 4616 K(x,K(y,z)) != u | K(K(z,y),x) = u. [para(4593(a,1),3872(a,1))]. 4617 K(x * y,y) = K(y * x,y). [hyper(3735,a,4599,a),flip(a)]. 4618 K(x / (y \ 1),y) = K(x * y,y). [hyper(189,a,4236,a,b,4617,a),flip(a)]. 4619 K(x * (y / x),x) = K(y,x). [para(19(a,1),4617(a,1,1)),flip(a)]. 4620 T(x * K(x * y,x),y * x) = x. [para(4617(a,1),4374(a,1,1,2))]. 4621 K(T(x,y) * y,x) = K(x * y,x). [para(3322(a,2),4619(a,1,1))]. 4622 K(T(x * (y / x),z),x) = K(T(y,z),x). [para(4168(a,2),4619(a,1,1))]. 4623 L(x,((y \ 1) \ y) \ y,z / T(y \ 1,(y \ 1) \ y)) = z \ ((z / (K(y,y) / y)) * ((((y \ 1) \ y) \ y) * x)). [para(4602(a,1),1967(a,1,2,1,2)),flip(a)]. 4624 (K(x,y) / x) \ 1 = x * K(y,x). [para(4604(a,1),69(a,1,1))]. 4625 L(x,y * K(x * y,y),x) = L(x,R(y,x,y),x). [para(4487(a,1),3724(a,1,2)),flip(a)]. 4626 T(x * K(x * y,x),y) = R(x,y,x). [para(4617(a,1),4487(a,1,1,2))]. 4627 T(x,x * y) * K(y,x) = L(x,y,x). [hyper(2760,a,4543,a)]. 4628 K((x / y) \ x,z) != u | K(y,z) = u. [para(19(a,1),4566(a,1,1,2))]. 4630 T(x * K(y,z),K(z,y)) != u | K(y,z) * x = u. [para(3955(a,1),4592(a,1,1)),flip(b)]. 4631 x \ K(x,x \ y) = y / (y * x). [hyper(3639,a,4340,a),flip(a)]. 4632 T((x \ K(x,x \ y)) \ 1,y * x) = y \ (y * x). [para(4631(a,2),4247(a,1,1,1))]. 4633 K(x,y) * K(y \ 1,y) = (T(y,x) \ 1) * y. [para(4357(a,2),2320(a,1,1))]. 4635 K(x \ 1,x) * K(y,x) = (T(x,y) \ 1) * x. [para(4357(a,2),2482(a,1,2))]. 4636 x * ((T(y,x) \ 1) * T(y,y \ 1)) = T(x,y). [para(4357(a,1),4396(a,2,2)),flip(a)]. 4637 (x * (y * T(y \ z,u))) / (x * z) = K((x * z) / (x * y),u). [hyper(76,a,712,a(flip),b,4378,a)]. 4639 x * T(x \ y,z) != y * u | T(K(y / x,z),y) = u. [para(4378(a,1),148(a,2)),flip(a)]. 4640 x / (y * T(y \ x,z)) = K(z,x / y). [para(4378(a,1),3905(a,1,2))]. 4641 (x * K(y,x)) \ y = x \ (y * K(x,y)). [para(4375(a,1),4379(a,1,1))]. 4642 T(x,y) / T(T(x,z \ x),y) = K(x / z,T(x,y)). [para(3327(a,1),4385(a,1,2,1))]. 4643 ((x * (1 / y)) / x) * y = K(x,y \ 1). [hyper(683,a,4388,a)]. 4646 T(x * ((y * (x \ 1)) / y),z) = K(y,T(x,z) \ 1). [hyper(189,a,1802,a(flip),b,4388,a(flip)),flip(a)]. 4647 K(x,y \ 1) / y = (x * (1 / y)) / x. [hyper(76,a,4388,a(flip),b,680,a)]. 4648 (x * y) * ((z * ((x * y) \ x)) / z) = x * K(z,y \ 1). [para(4388(a,1),1398(a,2,2))]. 4649 x * K(y,(x \ z) \ 1) = z * ((y * (z \ x)) / y). [para(4388(a,1),1414(a,1,2))]. 4650 (x * y) * ((z * ((x * y) \ y)) / z) = K(z,x \ 1) * y. [para(4388(a,1),1796(a,2,1))]. 4652 L(x,y,z) \ K(x,L(x,y,z) \ 1) = (L(x,y,z) \ x) / x. [para(964(a,1),4393(a,2,1))]. 4653 T(x,y) * K(z,T(x,y)) = T(x * K(z,x),y). [hyper(21,a,4405,a,b,4423,a),flip(a)]. 4654 T(x * K(y * R(x,z,u),x),y) = R(x,y,R(x,z,u)). [hyper(21,a,1667,a,b,4423,a)]. 4656 K(x,T(y,z)) * T(y,z) = T(y * K(x,y),z). [hyper(189,a,4468,a(flip),b,4424,a),flip(a)]. 4657 T(x * K(y,x),z) / T(x,z) = K(y,T(x,z)). [hyper(76,a,4424,a,b,4468,a(flip))]. 4658 T(x,y) \ T(x * K(z,x),y) = K(z,T(x,y)). [hyper(75,a,4424,a,b,4375,a(flip))]. 4659 T(x,T(y,z)) * T(y,z) = x * T(y * K(x,y),z). [para(4424(a,2),3322(a,2,2))]. 4660 T(x * K(y,x),z) \ T(x,z) = K(T(x,z),y). [para(4424(a,2),4354(a,2,1)),flip(a)]. 4661 T(x * K(y,x),z) != u | T(x,z) * K(y,T(x,z)) = u. [para(4424(a,2),4422(a,1))]. 4663 x * ((T(y,(z \ x) \ u) * (x \ (z * u))) / T(y,(z \ x) \ u)) = z * ((z \ x) * (((z \ x) \ u) * K(y,(z \ x) \ u))). [para(4455(a,1),1223(a,1,2,2)),flip(a)]. 4664 (x / ((y * z) / y)) * (z * K(y,z)) = x. [hyper(200,a,4479,a)]. 4665 T(T(x * y,y) / (T(x * y,y) / x),T(x * y,y)) = L(x,y * K(x * y,y),x). [para(4480(a,1),3643(a,2,2))]. 4666 (T(1 / x,y) \ 1) / K(y,x \ 1) = x. [para(3083(a,1),4534(a,1,2))]. 4667 T(K(x,y),z) * K(y,x) != u | K(z,K(y,x)) = u. [para(4539(a,1),3921(a,1,1)),flip(b)]. 4669 x * (K(x,y) * K(x,z)) = K(x,y) * T(x,z). [para(4360(a,2),4552(a,1,2,2))]. 4670 K(x,y) * T(x,z) != u | K(x,z) * T(x,y) = u. [para(4557(a,2),2664(a,1))]. 4671 K(x,y / (z \ 1)) * (z \ T(z * y,x)) = y. [para(729(a,1),4581(a,1,2))]. 4672 x / (K(y,x * K(z,x)) * K(x * K(z,x),z)) = T(x * K(z,x),y). [para(4374(a,1),4584(a,1,1))]. 4673 K(x,y) * T(K(y,x),z) != u | K(z,K(x,y)) = u. [para(4595(a,1),3914(a,1,2)),flip(b)]. 4674 K(T(T(x,y) * y,z),x) = K(T(x * y,z),x). [para(3322(a,2),4622(a,1,1,1))]. 4675 x / (y * (z * T(z \ (y \ x),u))) = K(u,x / (y * z)). [para(713(a,1),4640(a,1,2))]. 4676 x / (((y \ (x * z)) * y) / z) = K(y,x / (y / z)). [para(1579(a,1),4640(a,1,2))]. 4677 K(1 / x,y) / (1 / x) = 1 / (K(y,x \ 1) / x). [para(4647(a,2),4511(a,2,2))]. 4678 T(1 / x,y) \ 1 = x * K(y,x \ 1). [para(4666(a,1),19(a,1,1)),flip(a)]. 4683 L(x \ 1,T(x,y),y) = L(x \ 1,x,y). [hyper(189,a,3287,a(flip),b,4478,a(flip)),flip(a)]. 4684 T(x * L(x \ 1,x,y),y) = T(x,y) * ((x * y) \ y). [para(4683(a,1),1340(a,1,1,2))]. 4685 T(x,y) * K(x * y,x) = R(x,y,x). [para(3734(a,1),4505(a,1,2))]. 4686 K(x,y) * K(x * y,x) = x \ R(x,y,x). [hyper(75,a,4685,a(flip),b,4376,a),flip(a)]. 4687 x * (y * T(y \ (x \ 1),z)) != u | K((x * y) \ 1,z) = u. [para(713(a,1),4516(a,1))]. 4688 R(x * T(x \ 1,y),z,u) != w | K(R(x,z,u) \ 1,y) = w. [para(2013(a,1),4516(a,1))]. 4691 K(x,y) * (z * x) != u | T(x,y) * T(z,x) = u. [para(113(a,1),4564(a,1,2))]. 4692 T(x,y) * (T(x,z) \ u) != w | K(x,y) * (K(z,x) * u) = w. [para(4551(a,1),4571(a,1,2))]. 4693 K(K(x,y),z) != u | K(z,K(y,x)) = u. [para(3871(a,1),4594(a,1))]. 4695 K(x * y,x) * K(x,y) = x \ R(x,y,x). [hyper(1962,a,4686,a)]. 4696 K(x,y) * K(y * x,x) = x \ R(x,y,x). [para(4617(a,2),4686(a,1,2))]. 4697 K(x * y,y) * K(y,x) = y \ R(y,x,y). [para(4617(a,2),4695(a,1,1))]. 4698 T(T(x,y) * y,x) = x * ((1 / x) * (x * y)). [hyper(189,a,4206,a(flip),b,4234,a)]. 4699 L((x \ 1) \ y,x \ 1,((x * z) / x) / (x \ 1)) = ((x * z) / x) \ (T(T(x,z) * z,x) * y). [para(4234(a,2),364(a,2,2,1))]. 4700 (x \ y) \ (x \ 1) = (y \ x) * (x \ 1). [hyper(189,a,4248,a(flip),b,4268,a(flip)),flip(a)]. 4701 K(x * y,y \ 1) = K(y * x,y \ 1). [hyper(189,a,3743,a(flip),b,4275,a(flip))]. 4702 ((x \ 1) \ y) * (x \ 1) = y * K(y * x,x \ 1). [para(4275(a,1),213(a,1,2)),flip(a)]. 4703 K(x,y) = (x * y) * ((y * x) \ 1). [hyper(4566,a,4290,a)]. 4704 (x * y) \ K(x,y) = (y * x) \ 1. [hyper(75,a,1215,a(flip),b,4290,a(flip))]. 4707 K(x,x \ y) * ((y / x) \ z) = (x \ y) \ z. [hyper(75,a,17,a(flip),b,4302,a),flip(a)]. 4717 (x \ y) \ (y / (y / x)) = (y / x) \ x. [hyper(75,a,4345,a(flip),b,4304,a),flip(a)]. 4720 R(x \ y,(y / x) \ x,x \ y) = ((x \ y) \ (y / (y / x))) \ x. [para(4717(a,1),3674(a,1,2))]. 4726 K(x,y \ 1) * (y \ x) = y \ T(x,y \ 1). [hyper(189,a,3358,a,b,4344,a)]. 4727 (x \ T(y,x \ 1)) / (x \ y) = K(y,x \ 1). [hyper(76,a,3358,a,b,4344,a)]. 4728 (x * K(y \ 1,x)) / ((x \ (y \ x)) * x) = y. [hyper(88,a,4381,a)]. 4729 L(x,y,z) * K(u,L(x,y,z)) = L(x * K(u,x),y,z). [hyper(21,a,4405,a,b,4425,a),flip(a)]. 4730 L(L(x,y,z) * K(u,L(x,y,z)),w,v5) * u = u * L(L(x,w,v5),y,z). [para(48(a,1),4425(a,2,2))]. 4732 R(x,y,z) * K(u,R(x,y,z)) = R(x * K(u,x),y,z). [hyper(21,a,4405,a,b,4426,a),flip(a)]. 4734 T(x,y * K(y,z)) = T(x,T(y,z)). [hyper(189,a,2676,a(flip),b,4443,a(flip))]. 4735 K(x,y) * T((z * y) / z,x) = y * K(z,T(y,x)). [para(4476(a,2),4383(a,1,2))]. 4736 (((x * y) / x) \ 1) \ 1 = (y \ 1) \ K(x,y). [hyper(189,a,2116,a(flip),b,4477,a),flip(a)]. 4737 L(x * K(y,x),z,u) / L(x,z,u) = K(y,L(x,z,u)). [hyper(76,a,4488,a,b,4468,a(flip))]. 4738 L(x * K(y,x),z,u) \ L(x,z,u) = K(L(x,z,u),y). [para(4488(a,2),4354(a,2,1)),flip(a)]. 4739 L(x,y,z) / L(x * K(u,x),y,z) = K(L(x,y,z),u). [para(4488(a,2),4469(a,2,2)),flip(a)]. 4740 L(x * K(y,x),z,u) != L(x,z,u) * w | K(y,L(x,z,u)) = w. [para(4488(a,2),4481(a,1))]. 4741 R(x,y,z) \ R(x * K(u,x),y,z) = K(u,R(x,y,z)). [hyper(75,a,4489,a,b,4375,a(flip))]. 4742 R(x * K(y,x),z,u) \ y = R(x,z,u) \ ((R(x,z,u) * y) / R(x,z,u)). [para(4489(a,2),3697(a,1,1))]. 4743 R(x * K(y,x),z,u) \ R(x,z,u) = K(R(x,z,u),y). [para(4489(a,2),4354(a,2,1)),flip(a)]. 4744 R(x,y,z) / R(x * K(u,x),y,z) = K(R(x,y,z),u). [para(4489(a,2),4469(a,2,2)),flip(a)]. 4745 R(x,y,z) \ K(R(x,y,z),u) = R(x * K(u,x),y,z) \ 1. [para(4489(a,2),4497(a,1,1)),flip(a)]. 4746 R(x,y,z) * (K(u,R(x,y,z)) * w) = R(x * K(u,x),y,z) * w. [para(4489(a,2),4496(a,1,1)),flip(a)]. 4748 K(T(x,y) \ 1,z) = T(K(x \ 1,z),y). [para(4359(a,1),4522(a,1,1)),flip(a)]. 4749 K(T(1 / x,y) \ 1,z) = T(K(x,z),y). [para(69(a,1),4748(a,2,1,1))]. 4751 ((x * y) * z) \ ((x * z) * R(T(y,x * z),x,z)) = K((((x * y) * z) \ (x * z)) \ 1,x). [para(832(a,1),4523(a,1,2,2))]. 4752 (x * y) \ ((z * T(z \ x,u)) * y) = K(((x * y) \ (z * y)) \ 1,u). [para(1100(a,1),4523(a,1,2))]. 4753 x \ T(x * y,z) = y * K((y \ (x \ 1)) \ 1,z). [hyper(785,a,4524,a)]. 4754 (x * y) * K(((x * y) \ y) \ 1,z) = T(x,z) * y. [hyper(571,a,4524,a),flip(a)]. 4755 x * T(x \ y,z) != y * u | K((y \ x) \ 1,z) = u. [para(4524(a,2),22(a,1))]. 4756 K((x / y) \ 1,z) * y = y * K((y \ x) \ 1,z). [hyper(189,a,4524,a(flip),b,4526,a)]. 4757 K(((x \ 1) / (x \ y)) \ 1,z) * (x \ y) = x \ T(y,z). [hyper(189,a,771,a(flip),b,4526,a)]. 4759 (x * (y * T(y \ z,u))) / (x * z) = K(((x * y) / (x * z)) \ 1,u). [hyper(76,a,712,a(flip),b,4526,a)]. 4760 K((x / y) \ 1,z) = K(y / x,z). [hyper(21,a,4378,a,b,4526,a)]. 4761 x \ (y * T(y \ x,x)) = K((y / x) \ 1,x). [hyper(75,a,4526,a(flip),b,2754,a(flip))]. 4763 K((x / y) \ 1,x) = K(x \ y,x). [hyper(189,a,3896,a(flip),b,4760,a)]. 4764 K(x / y,x) = K(y \ x,x). [hyper(189,a,4252,a(flip),b,4760,a(flip))]. 4765 K(x / (y * x),z) = K(y \ 1,z). [para(18(a,1),4760(a,1,1,1)),flip(a)]. 4767 K((x \ y) / y,z) = K(x \ 1,z). [para(67(a,1),4760(a,1,1,1)),flip(a)]. 4768 K(x,(y / z) \ 1) = K(z / y,x) \ 1. [para(4760(a,1),3871(a,1,1)),flip(a)]. 4769 K(x \ (y \ x),x) = K(y \ 1,x). [para(67(a,1),4763(a,1,1,1)),flip(a)]. 4770 ((x \ y) / y) \ K(x \ 1,((x \ y) / y) \ 1) = 1 / ((x \ y) / y). [hyper(75,a,4767,a(flip),b,1535,a(flip))]. 4771 K(((x \ 1) \ y) / y,z) != u | K(x,z) = u. [para(4767(a,2),2659(a,1))]. 4772 K(x \ 1,y) * ((y \ (x \ y)) \ z) = ((x \ y) / y) \ z. [para(4769(a,1),4308(a,1,1))]. 4773 K(x,(y / z) \ 1) = K(x,z / y). [hyper(189,a,3871,a(flip),b,4768,a)]. 4774 K(x,(y / z) \ 1) != u | K(x,z / y) = u. [para(4768(a,2),3872(a,1))]. 4775 K(x,1 / (y / z)) = K(x,z / y). [hyper(189,a,3083,a,b,4773,a(flip)),flip(a)]. 4776 K(x,y / (z * y)) = K(x,z \ 1). [para(18(a,1),4773(a,1,2,1)),flip(a)]. 4777 K(x,(y \ z) / z) = K(x,y \ 1). [para(67(a,1),4773(a,1,2,1)),flip(a)]. 4778 K(x,((y \ z) / z) \ 1) = K(x,y). [para(67(a,1),4773(a,2,2))]. 4779 K(x,1 / (K(y,z) / u)) = K(x,u * K(z,y)). [para(3890(a,1),4775(a,2,2))]. 4782 K(x,R(y / z,z,u) \ 1) != w | K(x,(z * u) / (y * u)) = w. [para(111(a,2),4774(a,1,2,1))]. 4783 (x * K(y,x)) * K(x,z) = T(x,z) * K(y,x). [hyper(3836,a,4545,a)]. 4784 (x \ y) * T((x \ y) \ y,z) != y * u | T(K(x,z),y) = u. [para(4548(a,2),148(a,2)),flip(a)]. 4785 (x \ 1) \ K(x \ y,x) = x * K(x \ 1,y). [hyper(189,a,1155,a(flip),b,4603,a)]. 4787 K(x \ y,x) * (x \ z) != u | ((x \ y) \ y) \ z = u. [para(4608(a,1),3914(a,1,2)),flip(b)]. 4789 ((T(x,y) \ 1) * x) * T((x \ 1) \ 1,z) = K(y,x) * T(x,z). [para(4633(a,1),2885(a,1,1))]. 4790 x * (K(y,y \ 1) * ((T(y,x) \ 1) * y)) = T(x,y). [para(2500(a,2),4636(a,1,2))]. 4791 T(x,y) \ T(x * K(z,x),y) != u | K(z,T(x,y)) = u. [para(4653(a,1),237(a,1,2)),flip(b)]. 4792 (x * y) \ (y * T(x * K(z,x),y)) = L(K(z,T(x,y)),T(x,y),y). [para(4653(a,1),153(a,1,2,2))]. 4793 T(x,y) * K(z,T(x,x * (y / x))) = T(x * K(z,x),x * (y / x)). [para(3510(a,1),4653(a,1,1))]. 4795 T(x * K(T(x,y) \ z,x),y) \ z = z / T(x,y). [para(4653(a,1),4310(a,1,1))]. 4796 T(R(x,y,x),z) / T(T(x,y),z) = K(x * y,T(T(x,y),z)). [para(4475(a,1),4657(a,1,1,1))]. 4797 T(T(x * K(y,x),z),u) / T(T(x,z),u) = K(y,T(T(x,z),u)). [para(4653(a,1),4657(a,1,1,1))]. 4798 T(x,y) * K(z,T(x,y)) != u | T(x * K(z,x),y) = u. [para(4658(a,1),203(a,1,2)),flip(b)]. 4799 T(x,y) \ T(x * K(x * z,x),y) = K(z * x,T(x,y)). [para(4617(a,1),4658(a,1,2,1,2))]. 4800 K(x,y) * T(x,z) != x * u | K(x,y) * K(x,z) = u. [para(4669(a,1),22(a,1))]. 4801 T(x,T(T(x,y) * y,z)) = K(T(x * y,z),x) \ x. [para(4674(a,1),4371(a,2,1))]. 4803 (x \ y) / (x \ T(y,x \ 1)) = K(x \ 1,y). [para(4726(a,1),3905(a,1,2))]. 4804 (x * K((x / y) \ 1,x)) / ((x \ y) * x) = x / y. [para(69(a,1),4728(a,1,2,1,2))]. 4805 (x \ K(x,y)) \ 1 = (x \ 1) \ K(y,x). [para(4497(a,1),4736(a,1,1))]. 4806 T(T(x,y) * z,K(x,y)) != u | (x * z) * K(x,y) = u. [para(4407(a,1),4237(a,1,1))]. 4807 K(x \ R(x,y,z),R(x,u,w)) = R(x,u,w) \ R(x,u,w). [para(3255(a,1),4366(a,1,1,1)),flip(a)]. 4808 K(R(x,y,z),x \ R(x,u,w)) = R(x,y,z) \ R(x,y,z). [para(3255(a,1),4398(a,1,2,1)),flip(a)]. 4811 (R(T(x,y),z,u) * (z * u)) / ((x * z) * u) = R(K(R(x,z,u),y),R(x,z,u),z * u). [para(4448(a,1),397(a,1,1)),flip(a)]. 4812 R(x * K(y,x),y,x) = x * K(y * x,x). [hyper(189,a,4375,a(flip),b,4484,a)]. 4813 ((x * K(y,x)) * y) / L(x,y,x * K(y * x,x)) = (R(x * K(y,x),y,x) * y) / x. [para(4812(a,1),1272(a,1,2,3))]. 4814 R(x * K(y,x),y,x) = x * K(x * y,x). [para(4617(a,1),4812(a,2,2))]. 4815 R(T(x * K(y,x),z),y,x) = T(x * K(x * y,x),z). [para(4814(a,1),45(a,2,1))]. 4818 R(K(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). [para(4359(a,1),4520(a,1,1))]. 4819 K(R(x,y,z) \ 1,u) * (y * z) = (K(x \ 1,u) * y) * z. [para(4818(a,1),110(a,1,1))]. 4820 K(R(x \ 1,y,z) \ 1,u) = R(K(x,u),y,z). [para(2648(a,1),4818(a,1,1)),flip(a)]. 4821 K(x,R(y \ 1,z,u) \ 1) = R(K(y,x),z,u) \ 1. [para(4820(a,1),3871(a,1,1)),flip(a)]. 4822 K(x,R(y \ 1,z,u) \ 1) * w = R(K(y,x),z,u) \ w. [para(4820(a,1),3889(a,1,1)),flip(a)]. 4823 T(K(x,R(y \ 1,z,u) \ 1),w) = T(R(K(y,x),z,u),w) \ 1. [para(4820(a,1),4266(a,1,1,1)),flip(a)]. 4824 L(K(x \ 1,y),z,u) = K(L(x,z,u) \ 1,y). [para(4359(a,1),4521(a,1,1))]. 4825 L(K(1 / x,y),z,u) = K(L(x,z,u) \ 1,y). [para(4392(a,1),4521(a,1,1))]. 4826 K(L(x,y,z) \ 1,x) = K(x \ 1,x). [hyper(189,a,4093,a(flip),b,4824,a(flip))]. 4827 (x * y) * K(L(z,y,x) \ 1,u) = x * (y * K(z \ 1,u)). [para(4824(a,1),102(a,1,2))]. 4828 K(L(x,y,z) \ 1,(x \ 1) * L((x \ 1) \ 1,u,w)) = L(1,y,z). [para(1342(a,1),4824(a,1,1)),flip(a)]. 4829 K(L(x \ 1,y,z) \ 1,u) = L(K(x,u),y,z). [para(2648(a,1),4824(a,1,1)),flip(a)]. 4830 K(L(T(1 / x,y),z,u) \ 1,w) = L(T(K(x,w),y),z,u). [para(4749(a,1),4824(a,1,1)),flip(a)]. 4831 (L(x,y,z) \ x) \ ((L(x,y,z) \ 1) * x) = K(x \ 1,x). [hyper(189,a,969,a,b,4826,a(flip)),flip(a)]. 4832 L(K(1 / x,y),z,u) = K(1 / L(x,z,u),y). [hyper(189,a,2647,a,b,4825,a)]. 4833 K(x,L(y \ 1,z,u) \ 1) = L(K(y,x),z,u) \ 1. [para(4829(a,1),3871(a,1,1)),flip(a)]. 4834 (x * K(L(y \ 1,z,u) \ 1,w)) \ x = L(K(y,w),z,u) \ 1. [para(4829(a,1),3868(a,2,1))]. 4835 L(K(1 / x,y),z,u) != w | K(L(x,z,u) \ 1,y) = w. [para(4832(a,2),4254(a,1))]. 4836 ((x * y) * T((x * y) \ x,z)) * y = (x * y) * K(y \ 1,z). [hyper(189,a,1100,a(flip),b,4528,a(flip)),flip(a)]. 4837 K(x,y) * ((1 / x) \ z) = z * T(z \ ((1 / x) \ z),y). [para(69(a,1),4530(a,1,1,1))]. 4838 (x * y) \ (K(x \ 1,z) * y) = T((x * y) \ y,z). [hyper(80,a,4531,a)]. 4839 ((1 / x) * y) * T(((1 / x) * y) \ y,z) = K(x,z) * y. [para(69(a,1),4531(a,2,1,1))]. 4840 x * (y \ T(y * (x \ (y \ 1)),z)) = K(x \ 1,z) * (y \ 1). [para(729(a,1),4532(a,1,2))]. 4842 K(x \ y,T((x \ y) * x,z)) = K(x \ y,T(y,T(z,y))). [para(3521(a,2),4580(a,2,2))]. 4843 T((x \ 1) \ K(x \ y,x),y * x) = y \ (y * x). [para(4805(a,1),4632(a,1,1))]. 4844 K(x / y,T(x,z)) = K(y \ x,T(x,z)). [hyper(4519,a,4642,a),flip(a)]. 4846 K(x,T(y,z) \ 1) = T(K(x,y \ 1),z). [para(4388(a,1),4646(a,1,1)),flip(a)]. 4847 K(x,T(1 / y,z) \ 1) = T(K(x,y),z). [para(69(a,1),4846(a,2,1,2))]. 4848 x * K(y,T(z,x) \ 1) = K(y,z \ 1) * x. [para(4846(a,2),113(a,1,2))]. 4851 K(x,y * K(z,y \ 1)) = T(K(x,y),z). [para(4678(a,1),4847(a,1,2))]. 4852 K(x,y * K(y * z,y \ 1)) = T(K(x,y),z * y). [para(4701(a,1),4851(a,1,2,2))]. 4853 K(x,(y / z) \ 1) * z = z * K(x,(z \ y) \ 1). [para(115(a,1),4848(a,1,2,2,1)),flip(a)]. 4854 x * K(y,x \ (z \ x)) = K(y,z \ 1) * x. [para(4267(a,1),4848(a,1,2,2))]. 4856 K(x,(y / z) \ 1) * y = y * K(x,y \ z). [para(69(a,1),4854(a,1,2,2,2)),flip(a)]. 4858 x * ((x \ y) * K(z,x \ y)) = y * K(z,(y \ x) \ 1). [hyper(189,a,4479,a(flip),b,4649,a),flip(a)]. 4859 (((x \ y) \ 1) \ x) * ((x \ y) \ 1) = x * K(y,(x \ y) \ 1). [para(17(a,1),4702(a,2,2,1))]. 4860 x * (y * K((y \ (x \ 1)) \ 1,z)) = T(x * y,z). [para(4753(a,1),17(a,1,2))]. 4861 T(x,T(T(x,y) * y,z)) = T(x,T(x * y,z)). [hyper(189,a,4371,a,b,4801,a)]. 4862 K(R(x,y,z),T(T(x,u) * u,w)) = R(T(x,T(x * u,w)),y,z) / R(x,y,z). [para(4861(a,1),4448(a,1,1,1)),flip(a)]. 4863 (x * K(x \ y,x)) / ((x \ y) * x) = x / y. [para(4763(a,1),4804(a,1,1,2))]. 4864 (x / (x / y)) / ((y \ x) * y) = y / x. [para(4318(a,2),4863(a,1,1))]. 4865 (x / y) \ (y / (y / x)) = (x \ y) * x. [para(4864(a,1),69(a,1,1))]. 4866 L(x,K(L(y \ 1,z,u) \ 1,w),L(K(y,w),z,u) \ 1) = x. [para(4833(a,1),3888(a,1,3))]. 4867 (x * y) * T((x * y) \ y,z) != u | K(x \ 1,z) * y = u. [para(4838(a,1),203(a,1,2)),flip(b)]. 4868 T(x * K(x \ 1,y),y * x) = y \ (y * x). [para(4785(a,1),4843(a,1,1))]. 4869 T(x * K(x \ 1,y),y * x) = x. [hyper(189,a,16,a(flip),b,4868,a)]. 4871 (x * K(x \ 1,y)) / x != z | K(y * x,x * K(x \ 1,y)) = z. [para(4869(a,1),4415(a,1,2))]. 4872 T(K(x,y),z * y) = T(K(x,y),y * z). [hyper(189,a,4851,a(flip),b,4852,a(flip))]. 4873 T(K(x,y),z * y) * K(y,x) = K(K(x,y),y * z). [para(4872(a,2),4445(a,1,1))]. 4874 x * K(y,(x \ z) \ 1) = K(y,x / z) * x. [para(4773(a,1),4853(a,1,1)),flip(a)]. 4875 T(K(x,y / z),y) = K(x,(y \ z) \ 1). [hyper(148,a,4874,a)]. 4876 K(x,y) * (z * K((z \ K(y,x)) \ 1,u)) = T(K(x,y) * z,u). [para(3871(a,1),4860(a,1,2,2,1,1,2))]. 4877 K(K(x,y),y * z) = K(z * y,K(y,x)). [hyper(4667,a,4873,a),flip(a)]. 4878 K(x * y,K(y,z)) = K(y * x,K(y,z)). [hyper(4693,a,4877,a),flip(a)]. 4880 L(T(x,y) \ 1,x,y) = (x * y) \ y. [hyper(1924,a,4684,a)]. 4881 (x * y) \ T(x,y) = (y * x) \ x. [hyper(189,a,4002,a(flip),b,4880,a(flip)),flip(a)]. 4882 a(1 / (x * y),x,y) \ T((1 / (x * y)) * x,y) = (y * ((1 / (x * y)) * x)) \ ((1 / (x * y)) * x). [para(167(a,1),4881(a,1,1))]. 4883 L(x * K(y,x),z,u) / L(x,z,u) != w | K(y,L(x,z,u)) = w. [para(4729(a,1),2757(a,1,1))]. 4884 L(x * K(y,x),z,u) \ L(x,z,u) != w | K(L(x,z,u),y) = w. [para(4729(a,1),3922(a,1,1))]. 4886 R(x * K(y,x),z,u) \ R(x,z,u) != w | K(R(x,z,u),y) = w. [para(4732(a,1),3922(a,1,1))]. 4888 K(R(x,y,z),T(x,u) * u) = R(x,y,z) / R(x * K(x * u,x),y,z). [para(4621(a,1),4744(a,1,2,1,2)),flip(a)]. 4891 T(x,x \ y) \ z != u | ((x \ y) \ y) \ z = u. [para(4558(a,1),4787(a,1))]. 4892 T(x,x \ y) \ R(T(z,z \ u),w,v5) != v6 | ((x \ y) \ y) \ R((z \ u) \ u,w,v5) = v6. [para(836(a,2),4891(a,1))]. 4893 T((x * y) / x,z) != u | T(y * K(x,y),z) = u. [para(4476(a,2),4798(a,1))]. 4894 L(K(x \ 1,y),z,u) != w | K(L(x,z,u) \ 1,y) = w. [para(2647(a,1),4835(a,1,1))]. 4895 T(x * K(T(x,y) \ y,x),y) = y / (T(y,x) / x). [hyper(4798,a,4335,a)]. 4896 T(x * K(x \ y,x),y) = y / (T(y,x) / x). [para(3680(a,1),4895(a,1,1,2))]. 4897 L(x,x \ y,x) = y / (T(y,x) / x). [hyper(189,a,4336,a(flip),b,4896,a(flip)),flip(a)]. 4898 T(x / (x / y),x) = x / (T(x,y) / y). [para(4318(a,2),4896(a,1,1))]. 4899 T((x \ L(y,y \ z,y)) * x,T(z,y) / y) = (x \ ((T(z,y) / y) \ z)) * x. [para(4897(a,2),4166(a,1,1,1,2))]. 4900 x / (x / T(y,x)) = T(x / (x / y),x). [para(3523(a,1),4898(a,2,2)),flip(a)]. 4901 T(x / (x / y),x) \ x = x / T(y,x). [para(4900(a,1),69(a,1,1))]. 4902 x * (x / (x / T(y,x))) = y * ((y \ x) * y). [para(4900(a,2),3645(a,1,2))]. 4903 ((x \ y) * x) * T(x,y) = y * (y / (y / T(x,y))). [hyper(189,a,3516,a,b,4902,a),flip(a)]. 4904 (x \ T(y,x)) * T(x,y) = (x \ y) * x. [hyper(3815,a,4903,a)]. 4906 (x \ 1) * (K(x,y) * ((x \ 1) \ z)) = K((x \ 1) \ 1,y) * z. [para(4401(a,2),4532(a,1,2))]. 4907 T(x * K(x * y,x),z) * y = y * R(T(x,z),y,x). [para(4815(a,1),4427(a,1,1))]. 4908 T(T(x * K(x * y,x),z),y) = R(T(x,z),y,x). [hyper(147,a,4907,a,b,xx)]. 4910 T(T(x * K(y * x,x),z),y) = R(T(x,z),y,x). [para(4617(a,2),4908(a,1,1,1,2))]. 4911 K(x,x \ 1) / ((y * x) \ y) = ((y * x) \ y) \ 1. [hyper(189,a,1999,a(flip),b,4459,a)]. 4912 (1 / ((x * y) \ x)) * K(y,y \ 1) = ((x * y) \ x) \ 1. [hyper(3206,a,4911,a)]. 4913 (((x * y) \ x) \ 1) \ K(y,y \ 1) != z | (x * y) \ x = z. [para(4911(a,1),236(a,1,1)),flip(b)]. 4914 (x \ R(y,z,u)) * K(((x \ R(y,z,u)) \ (x \ 1)) \ 1,w) = x \ R(T(y,w),z,u). [para(45(a,2),4525(a,2,2))]. 4915 ((x * y) * ((z * ((x * y) \ x)) / z)) * y = (x * y) * K(z,y \ 1). [hyper(189,a,1785,a(flip),b,4648,a(flip)),flip(a)]. 4916 (x * y) * (z * (L(y \ z,y,x) / z)) = (x * K(z,y \ 1)) * z. [para(4648(a,1),1810(a,1,1)),flip(a)]. 4917 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = (K(x,y \ 1) * z) * u. [para(4650(a,1),2145(a,2,1))]. 4918 x / (y * (((z \ ((y \ x) * u)) * z) / u)) = K(z,x / (y * (z / u))). [para(1579(a,1),4675(a,1,2,2))]. 4919 ((x * y) * z) / (x * (z * T(z \ (x \ ((x * y) * z)),u))) = K(u,R(y * K(x,y),x,z)). [para(4484(a,2),4675(a,2,2))]. 4920 K(x,y) * ((y \ ((x \ 1) \ y)) \ z) = (((x \ 1) \ y) / y) \ z. [para(2648(a,1),4772(a,1,1))]. 4921 K(x * y,T(y,z)) = K(y * x,T(y,z)). [hyper(4791,a,4799,a),flip(a)]. 4922 K(x \ R(x,y,z),R(x,u,w)) != v5 | 1 = v5. [para(4807(a,2),181(a,1))]. 4923 K(R(x,y,z),x \ R(x,u,w)) = 1. [hyper(189,a,59,a(flip),b,4808,a)]. 4926 (L(x,y,z) \ x) * K(x \ 1,x) = (L(x,y,z) \ 1) * x. [para(4831(a,1),17(a,1,2))]. 4927 (1 / x) * (K(x,y) * ((1 / x) \ z)) = K((1 / x) \ 1,y) * z. [para(4837(a,2),4532(a,1,2))]. 4928 L(K(x,y \ z),y \ z,y) = K(x,(z \ y) \ 1). [hyper(404,a,4858,a)]. 4929 (((x * y) \ x) \ 1) / ((y \ 1) \ 1) = (1 / ((x * y) \ x)) / y. [hyper(76,a,4912,a(flip),b,2257,a)]. 4930 ((L(x,y,z) \ 1) * x) * (1 / x) = (L(x,y,z) \ x) * (x \ 1). [para(4926(a,1),2284(a,1,1))]. 4931 T(x \ y,z) * (y \ (x * K(z,x \ y))) = T((x \ y) * (y \ (x * 1)),z). [para(4462(a,1),1926(a,1,2))]. 4932 (x * y) \ (y * (T(x,y) * z)) = L(z,x,y * K(x,y)). [para(4407(a,1),4509(a,1,2,2))]. 4933 L(x,y,z * K(y,z)) = L(x,T(y,z),z). [hyper(644,a,4932,a),flip(a)]. 4934 L(x,y,z * K(y,z)) != u | L(x,T(y,z),z) = u. [para(4932(a,1),644(a,1))]. 4935 (x * T(x \ y,z)) * (y \ 1) = K((x * (y \ 1)) \ 1,z). [hyper(4687,a,1159,a),flip(a)]. 4936 (x * K((x \ y) \ 1,z)) * (x \ 1) = K((y * (x \ 1)) \ 1,z). [para(4524(a,1),4935(a,1,1))]. 4937 R(K(x \ 1,y),z,u) != w | K(R(x,z,u) \ 1,y) = w. [para(4359(a,1),4688(a,1,1))]. 4938 R(T(x,y),z,x) / T(T(x,z),y) = K(x * z,T(T(x,z),y)). [para(45(a,2),4796(a,1,1))]. 4939 (K(x \ 1,y) * z) * u != w * (z * u) | K(R(x,z,u) \ 1,y) = w. [para(4819(a,1),23(a,1))]. 4940 K(((x * y) / (z * y)) \ 1,u) * (z * y) = (K((x / z) \ 1,u) * z) * y. [para(111(a,1),4819(a,1,1,1,1))]. 4941 (x * y) * z != x * (y * K(u \ 1,w)) | K(L(u,y,x) \ 1,w) = z. [para(4827(a,1),22(a,1)),flip(a)]. 4942 (x * y) * K(((x * y) \ z) \ 1,u) = x * (y * K((y \ (x \ z)) \ 1,u)). [para(183(a,1),4827(a,1,2,1,1))]. 4943 L(x,L(K(y,z),u,w),L(K(y,z),u,w) \ 1) = x. [para(4829(a,1),4866(a,1,2))]. 4944 x / (L(K(y,z),u,w) * x) = 1 / L(K(y,z),u,w). [hyper(76,a,4943,a(flip),b,2374,a)]. 4945 x / (L(K(y,z),u,w) * x) = L(K(y,z),u,w) \ 1. [hyper(189,a,2191,a(flip),b,4944,a)]. 4946 (L(K(x,y),z,u) \ 1) \ w = L(K(x,y),z,u) * w. [para(4945(a,1),69(a,1,1))]. 4947 x * (y * T(y \ (x \ y),z)) != u | K(x \ 1,z) * y = u. [para(713(a,1),4867(a,1))]. 4948 R(T(x,y) * K(T(y * L(x,z,u),T(x,y)),T(x,y)),w,v5) * (((x * y) * L(x,z,u)) / T(x,y)) = (((x * y) * L(x,z,u)) / T(x,y)) * R(T(x,y),w,v5). [para(1278(a,1),4334(a,1,1,1,2,1))]. 4949 T(x * y,z) / (y * x) = (y * x) \ T(x * y,z). [para(95(a,1),4458(a,1,2,1)),flip(a)]. 4950 ((x * y) \ T(y * x,z)) * (x * y) = T(y * x,z). [para(4949(a,1),19(a,1,1))]. 4952 (x * y) * K(R(y,x,y),x * y) = ((y * x) / R(y,x,y)) * y. [hyper(1649,a,4483,a),flip(a)]. 4953 T(T(x * K(y * T(x,z),x),u),y) = R(T(y \ (y * x),u),y,T(x,z)). [para(4492(a,1),763(a,1,1,1))]. 4954 T(x,x \ y) / (y \ x) = (((y \ x) \ 1) \ y) * ((y \ x) \ 1). [hyper(189,a,2534,a(flip),b,4588,a)]. 4955 (T(x,y) * y) / ((T(x,y) * y) / x) = x * K(y,x). [para(4430(a,1),4615(a,2,2))]. 4956 (x * (y \ T(y * z,u))) / (x * z) = K((x * z) / (x * (y \ 1)),u). [para(729(a,1),4637(a,1,1,2))]. 4957 K((x * y) / (x * (z \ y)),u) = (x * (K(z,u) * y)) / (x * y). [para(4548(a,1),4637(a,1,1,2)),flip(a)]. 4958 R(T(x,y),z,x) / T(T(x,y),z) = K(z * x,T(T(x,y),z)). [para(4910(a,1),4797(a,1,1))]. 4959 T(K(x,R(y \ 1,z,u) \ 1),w) = R(T(K(y,x),w),z,u) \ 1. [para(45(a,2),4823(a,2,1))]. 4960 (x * L(K(y,z),u,w)) \ x = L(K(y,z),u,w) \ 1. [para(4829(a,1),4834(a,1,1,2))]. 4961 (x * K(y \ 1,z)) * y = (x * y) * K(y \ 1,z). [para(4528(a,1),4836(a,1,1))]. 4963 x \ ((y * x) * K(x \ 1,z)) = T(y * K(x \ 1,z),x). [hyper(147,a,4961,a,b,17,a),flip(a)]. 4964 (x * K(y \ 1,z)) / y = (x / y) * K(y \ 1,z). [hyper(76,a,90,a(flip),b,4961,a)]. 4966 T((x / y) * K(y \ 1,z),y) != u | y \ (x * K(y \ 1,z)) = u. [para(4964(a,1),307(a,1,1))]. 4967 x \ ((y * x) * K(x \ 1,x)) = x * (T((x \ 1) \ 1,y) \ y). [hyper(189,a,4018,a(flip),b,4963,a)]. 4968 K(x,y) * (K(y,x) * T(K(y,x) \ z,u)) = T(K(x,y) * z,u). [para(4524(a,2),4876(a,1,2))]. 4969 T(K(x,y) * (z * K(y,x)),u) = K(x,y) * (T(z,u) * K(y,x)). [para(4754(a,1),4876(a,1,2)),flip(a)]. 4970 (x \ 1) * (K(x,y) * ((x \ 1) \ z)) = K(x,y) * z. [para(2648(a,1),4906(a,2,1))]. 4971 (1 / x) * (K(x,y) * ((1 / x) \ z)) = K(x,y) * z. [para(69(a,1),4927(a,2,1,1))]. 4972 K(x,y) * ((1 / x) * z) = (1 / x) * (K(x,y) * z). [para(16(a,1),4971(a,1,2,2)),flip(a)]. 4974 (K(x,y) * ((1 / x) * z)) / (K(x,y) * z) = 1 / x. [hyper(76,a,4972,a,b,xx)]. 4975 (K(x,y) * z) \ (K(x,y) * ((1 / x) * z)) = T(1 / x,K(x,y) * z). [hyper(75,a,4972,a,b,113,a)]. 4979 K((x * ((1 / y) \ 1)) \ 1,z) / y = (1 / y) * K(((1 / y) \ x) \ 1,z). [hyper(257,a,4936,a)]. 4980 ((x * y) / R(x,y,x)) * x = (y * x) * K(T(x,y),y * x). [para(3899(a,1),4952(a,1,2)),flip(a)]. 4981 ((x * y) / R(x,y,x)) * x = T(x,y * x) * T(y,x). [hyper(189,a,4474,a(flip),b,4980,a)]. 4982 T(x,(x \ y) * x) * T(x \ y,x) = (y / R(x,x \ y,x)) * x. [para(17(a,1),4981(a,1,1,1)),flip(a)]. 4983 R(T(K(x,y),z),u,w) \ 1 = T(R(K(x,y),u,w) \ 1,z). [para(4821(a,1),4959(a,1,1)),flip(a)]. 4984 x * (T((x \ 1) \ 1,y) \ y) = x \ (y * (1 / (1 / x))). [para(2611(a,1),4967(a,1,2)),flip(a)]. 4985 T(K(x \ 1,x) * y,z) = K(x \ 1,x) * T(y,z). [para(4149(a,1),4968(a,1,2)),flip(a)]. 4987 T(x * K(y \ 1,y),z) = K(y \ 1,y) * T(x,z). [para(2475(a,1),4985(a,1,1))]. 4988 T(K(x,y) * K(z \ 1,z),x) = K(z \ 1,z) * K(x,y). [para(2649(a,1),4987(a,2,2))]. 4989 T((T(x,y) \ 1) * x,y) = K(x \ 1,x) * K(y,x). [para(4633(a,1),4988(a,1,1))]. 4990 T((T(x,y) \ 1) * x,y) = (T(x,y) \ 1) * x. [hyper(189,a,4635,a(flip),b,4989,a)]. 4992 T(K(x,y) * (z * K(y,x)),u) != K(x,y) * w | T(z,u) * K(y,x) = w. [para(4969(a,2),22(a,1))]. 4993 R(x \ y,(y / x) \ x,x \ y) = ((y / x) \ x) \ x. [para(4717(a,1),4720(a,2,1))]. 4994 R(x * K(y,x),z,u) * (z * u) = K(y,R(x,z,u)) * ((x * z) * u). [hyper(3847,a,4746,a),flip(a)]. 4995 L(K(x,T(y,z)),T(y,z),z) = (y * z) \ ((y * K(x,y)) * z). [para(113(a,1),4792(a,1,2)),flip(a)]. 4996 R(T(K(x,y),y * z),y,z) = L(K(x,T(y,z)),T(y,z),z). [hyper(189,a,2770,a(flip),b,4995,a),flip(a)]. 4997 K(L(x,y,z) \ 1,(x \ 1) * L((x \ 1) \ 1,u,w)) = 1. [hyper(189,a,265,a(flip),b,4828,a)]. 4999 K(L(x,y,z) \ 1,x \ L(x,u,w)) = 1. [para(854(a,1),4997(a,1,2))]. 5000 T(L(x,y,z) \ 1,x \ L(x,u,w)) = L(x,y,z) \ 1. [hyper(40,a,4999,a)]. 5001 T(x \ L(x,y,z),L(x,u,w) \ 1) = x \ L(x,y,z). [hyper(38,a,5000,a)]. 5002 T(L(x,y,z) * (x \ 1),L(x,u,w) \ 1) = x \ L(x,y,z). [para(962(a,2),5001(a,1,1))]. 5003 (L(x,y,z) * (x \ 1)) \ (x \ 1) = (x \ 1) / (x \ L(x,y,z)). [para(5002(a,1),3758(a,1,2)),flip(a)]. 5004 (L(x,y,z) * (x \ 1)) \ (x \ 1) = L(x,y,z) \ 1. [hyper(189,a,2169,a(flip),b,5003,a)]. 5005 (x \ L(x,y,z)) \ (x \ 1) = L(x,y,z) \ 1. [para(962(a,1),5004(a,1,1))]. 5006 (L(x,y,z) \ x) * (x \ 1) = L(x,y,z) \ 1. [hyper(189,a,4700,a(flip),b,5005,a(flip)),flip(a)]. 5007 (L(x,y,z) \ x) \ (L(x,y,z) \ 1) = x \ 1. [hyper(75,a,5005,a(flip),b,4700,a(flip))]. 5008 (L(1 / x,y,z) \ 1) / x = L(1 / x,y,z) \ (1 / x). [hyper(257,a,5006,a)]. 5009 (L(x \ 1,y,z) \ (x \ 1)) * T(1 / (1 / x),x \ 1) = K(x \ 1,x) * (L(x \ 1,y,z) \ 1). [para(5006(a,1),4137(a,1,2)),flip(a)]. 5010 (x / R(y,y \ x,y)) * y = T(y,x) * T(y \ x,y). [para(3508(a,1),4982(a,1,1)),flip(a)]. 5011 (x / R(y,y \ x,y)) * y = (y \ x) * T(y,x). [hyper(189,a,3333,a(flip),b,5010,a)]. 5012 x / R(y,y \ x,y) = y \ (x * K(y,x)). [hyper(21,a,4499,a,b,5011,a)]. 5013 x / R(y,y \ x,y) = (y * K(x,y)) \ x. [hyper(189,a,4641,a,b,5012,a)]. 5014 x / ((y \ x) \ T(x,y)) = (y * K(x,y)) \ x. [para(3670(a,1),5013(a,1,2))]. 5015 ((x * K(y,x)) \ y) \ y = (x \ y) \ T(y,x). [para(5014(a,1),69(a,1,1))]. 5016 (x \ (y * K(x,y))) \ y = (x \ y) \ T(y,x). [para(4641(a,1),5015(a,1,1))]. 5017 (x \ ((x * y) / x)) \ y = (x \ y) \ T(y,x). [para(4375(a,2),5016(a,1,1,2))]. 5018 a(x,y,z) \ K(a(x,y,z),z \ L(z,y,x)) = 1 / a(x,y,z). [para(4402(a,2),1758(a,1,2))]. 5019 T(x * K(y,x),z) * (x \ y) = x \ (y * T(x,z)). [hyper(189,a,1101,a(flip),b,4601,a(flip))]. 5020 T(T(x,y) * K(x * y,T(x,y)),z) * (T(x,y) \ (x * y)) = T(x,y) \ ((T(x,z) * y) * T(x,y)). [para(1514(a,2),5019(a,2,2))]. 5021 (K(x,y) * (((1 / x) * z) * T(((1 / x) * z) \ z,u))) / (K(x,y) * z) = K((1 / x) \ 1,u). [para(4974(a,1),4759(a,2,1,1))]. 5022 ((x \ y) / y) \ K(x \ 1,x) = 1 / ((x \ y) / y). [para(4778(a,1),4770(a,1,2))]. 5023 (((x \ 1) \ y) / y) \ K(x,x \ 1) = 1 / (((x \ 1) \ y) / y). [para(1838(a,1),5022(a,1,2))]. 5025 T(x * K(y,x),x * (z / x)) = T(x,z) * K(y,T(x,z)). [para(3510(a,1),4793(a,1,2,2)),flip(a)]. 5026 T(x * K(y,x),x * (z / x)) = T(x * K(y,x),z). [hyper(189,a,4653,a(flip),b,5025,a)]. 5027 T(x * K(y,x),T(z * x,u)) = T(x * K(y,x),T(x * z,u)). [para(4159(a,1),5026(a,1,2)),flip(a)]. 5028 (x * K(y,z \ 1)) * z = (x * z) * K(y,z \ 1). [para(4648(a,1),4915(a,1,1))]. 5032 (x * K(y,(z \ 1) \ 1)) * (z \ 1) = (x * (z \ 1)) * K(y,z). [para(3081(a,1),5028(a,2,2))]. 5033 (x * K(y,z)) * (z \ 1) = (x * (z \ 1)) * K(y,z). [para(3081(a,1),5032(a,1,1,2))]. 5034 L(T(1 / x,y),y,K(x,z)) = T(1 / x,K(x,z) * y). [hyper(645,a,4975,a)]. 5035 L(T(K(x,y),z),z,K(x,u)) = K(T(1 / x,K(x,u) * z) \ 1,y). [para(5034(a,1),4830(a,1,1,1)),flip(a)]. 5036 L(T(K(x,y),z),z,K(x,u)) = T(K(x,y),K(x,u) * z). [hyper(189,a,4749,a(flip),b,5035,a)]. 5037 K(x,R(y,z,u)) * ((y * z) * u) = ((y * K(x,y)) * z) * u. [hyper(204,a,4994,a),flip(a)]. 5038 K(x,R(y,z,u)) * ((y * z) * u) = (y * (K(x,y) * z)) * u. [para(3828(a,1),5037(a,2,1))]. 5039 (x * y) \ (x * ((y * z) * K(u \ 1,u))) = L(z,y,x) * K(u \ 1,u). [para(4068(a,1),4071(a,1,2))]. 5041 (x * y) \ (x * ((y * z) * K(u,u \ 1))) = K(u,u \ 1) * L(z,y,x). [para(4077(a,1),4132(a,1,2))]. 5042 ((x \ (y * (z \ 1))) * x) / (z \ 1) = z * ((x \ (z \ y)) * x). [para(3272(a,1),4190(a,1,1))]. 5043 x / (y * ((z \ (y \ x)) * z)) = K(z,x / (z / (y \ 1))). [para(5042(a,1),4676(a,1,2))]. 5044 x / (y * (z * ((u \ (z \ (y \ x))) * u))) = K(u,x / (y * (u / (z \ 1)))). [para(5042(a,1),4918(a,1,2,2))]. 5045 R(x * K(y,x),y,L(x,z,u)) = x * K(y * L(x,z,u),x). [hyper(4506,a,4491,a)]. 5046 T(x * K(y * L(x,z,u),x),y) = R(x,y,L(x,z,u)). [para(4491(a,1),603(a,2,1)),flip(a)]. 5047 T(T(x * K(y * L(x,z,u),x),w),y) = R(T(y \ (y * x),w),y,L(x,z,u)). [para(4491(a,1),763(a,1,1,1))]. 5048 T(x,y) * K(y * L(x,z,u),T(x,y)) = R(x,y,L(x,z,u)). [hyper(4661,a,5046,a)]. 5049 T(R(x,y,z) * K(u * R(1 / (1 / x),y,z),R(x,y,z)),u) = R(R(x,y,z),u,L(R(x,y,z),x \ 1,x)). [para(475(a,1),5046(a,1,1,2,1,2))]. 5050 T(T(x * K(y * L(T(x,z),u,w),x),z),y) = R(T(x,z),y,L(T(x,z),u,w)). [para(4653(a,1),5046(a,1,1))]. 5051 (x / (y * K(z,y))) * R(y * K(z,y),z,L(y,u,w)) = (x * (y * K(z * L(y,u,w),y))) / (y * K(z,y)). [para(5045(a,1),1646(a,1,1,2)),flip(a)]. 5052 T(T(x * K(y * R(x,z,u),x),w),y) = R(T(y \ (y * x),w),y,R(x,z,u)). [para(4493(a,1),763(a,1,1,1))]. 5053 (x * y) * (z \ T(z * L(y \ (z \ 1),y,x),u)) = (x * K(y \ 1,u)) * (z \ 1). [para(729(a,1),4533(a,1,2))]. 5055 L(L(x * K(y,x),z,u),w,v5) * y = y * L(L(x,w,v5),z,u). [para(4729(a,1),4730(a,1,1,1))]. 5056 K(R(x,y,z),T(x,u) * u) = K(R(x,y,z),x * u). [hyper(189,a,4744,a(flip),b,4888,a)]. 5057 T(T(x * K(y * T(x,z),x),u),y) = R(T(x,u),y,T(x,z)). [para(16(a,1),4953(a,2,1,1))]. 5058 (x * y) \ (x * (y * (z * K(u \ 1,u)))) = L(z,y,x) * K(u \ 1,u). [para(4068(a,1),5039(a,1,2,2))]. 5059 (x * y) \ (x * (y * (z * K(u,u \ 1)))) = K(u,u \ 1) * L(z,y,x). [para(4077(a,1),5041(a,1,2,2))]. 5060 L(x * K(y \ 1,y),z,u) = L(x,z,u) * K(y \ 1,y). [hyper(355,a,5058,a)]. 5061 K(x \ 1,L(x,y,z)) = K(x \ 1,x). [hyper(4740,a,5060,a)]. 5062 L(x * K(y \ 1,y),z,u) = K(y \ 1,y) * L(x,z,u). [hyper(189,a,2475,a,b,5060,a)]. 5063 (x * y) * K(z \ 1,L(z,u,w)) = x * (y * K(z \ 1,z)). [para(5061(a,2),4068(a,1,2))]. 5064 L(K(x \ 1,x) * y,z,u) = K(x \ 1,x) * L(y,z,u). [para(2475(a,2),5062(a,1,1))]. 5065 (x * y) * K(z \ 1,L(z,u,w)) = x * (y * K(z \ 1,L(z,v5,v6))). [para(5061(a,2),5063(a,2,2,2))]. 5066 K(L(x,y,z) \ 1,L(x,u,w)) = K(x \ 1,L(x,v5,v6)). [hyper(4941,a,5065,a)]. 5067 K(x \ 1,L(x,y,z)) * (u / L(x,w,v5)) = u / ((L(x,w,v5) \ 1) \ 1). [para(5066(a,1),2483(a,1,1))]. 5068 K(x \ 1,L(x,y,z)) * (x / L(x,u,w)) = x * T(L(x,u,w) \ 1,x). [para(5066(a,1),2544(a,1,1))]. 5069 K(L(x,y,z) \ 1,L(x,u,w)) * K(L(x,v5,v6),x \ 1) = 1. [para(5066(a,2),3878(a,1,1))]. 5070 K(L(x,y,z),L(x,u,w) \ 1) = K(L(x,v5,v6),x \ 1). [hyper(3894,a,5069,a)]. 5071 L(x,y,z) \ K(L(x,u,w),x \ 1) = 1 / L(x,y,z). [hyper(75,a,5070,a(flip),b,1535,a(flip))]. 5072 L(x,y,z) \ K(x,x \ 1) = 1 / L(x,y,z). [para(262(a,1),5071(a,1,2,1))]. 5073 L(x,y,z) \ (1 / x) = x \ (1 / L(x,y,z)). [hyper(75,a,5072,a(flip),b,1551,a(flip)),flip(a)]. 5074 L(x * K(y,y \ 1),z,u) = K(y,y \ 1) * L(x,z,u). [hyper(355,a,5059,a)]. 5075 L(x * K(y,y \ 1),z,u) = L(x,z,u) * K(y,y \ 1). [hyper(189,a,2502,a(flip),b,5074,a)]. 5076 K(x,x \ 1) * L(x,y,z) = L(T(x,x \ 1),y,z). [para(1754(a,1),5074(a,1,1)),flip(a)]. 5077 (x \ 1) * L(((1 / x) \ y) * K(x,x \ 1),z,u) = L(y * x,z,u) / x. [para(5074(a,2),2456(a,1,2))]. 5078 K(L(x,y,z),x \ 1) = K(x,x \ 1). [hyper(21,a,4446,a,b,5076,a),flip(a)]. 5079 (x * y) * K(L(z,u,w),z \ 1) = x * (y * K(z,z \ 1)). [para(5078(a,2),4077(a,1,2))]. 5080 K(x,L(x \ 1,y,z)) = K(x,x \ 1). [hyper(4740,a,5075,a)]. 5081 L(x \ 1,y,z) * K(x,x \ 1) = L(1 / x,y,z). [para(1541(a,1),5075(a,1,1)),flip(a)]. 5082 L(x * K(y \ z,(y \ z) \ 1),u,w) = L(x,u,w) * K(y \ z,z \ y). [para(1992(a,1),5075(a,2,2))]. 5083 L(x,y,z) \ K(x,L(x \ 1,u,w)) = 1 / L(x,y,z). [para(5080(a,2),5072(a,1,2))]. 5084 L(x \ 1,y,z) \ K(x \ 1,x) = L(1 / x,y,z) \ 1. [para(5081(a,1),3205(a,1,1)),flip(a)]. 5085 L(1 / x,y,z) \ (1 / x) = L(x \ 1,y,z) \ (x \ 1). [para(5081(a,1),3214(a,1,1))]. 5086 (x \ 1) * (L(x \ 1,y,z) \ x) = L(1 / x,y,z) \ 1. [hyper(189,a,970,a(flip),b,5084,a(flip)),flip(a)]. 5087 K(L(x \ 1,y,z),(x \ 1) \ 1) = K(L(x,u,w) \ 1,(x \ 1) \ 1). [hyper(4941,a,5079,a),flip(a)]. 5088 K(L(x \ 1,y,z),(x \ 1) \ 1) = K(L(x,u,w) \ 1,x). [hyper(189,a,3081,a(flip),b,5087,a)]. 5089 K(L(x \ 1,y,z),x) = K(L(x,u,w) \ 1,x). [hyper(189,a,3081,a(flip),b,5088,a(flip)),flip(a)]. 5090 K(x,L(x,y,z) \ 1) = K(L(x \ 1,u,w),x) \ 1. [para(5089(a,2),3871(a,1,1)),flip(a)]. 5091 K(x,L(x \ 1,y,z)) = K(x,L(x,u,w) \ 1). [hyper(189,a,3871,a(flip),b,5090,a),flip(a)]. 5092 L(x,y,z) \ K(x,L(x,u,w) \ 1) = 1 / L(x,y,z). [para(5091(a,1),5083(a,1,2))]. 5093 (L(x,y,z) \ x) / x = 1 / L(x,y,z). [hyper(189,a,4652,a(flip),b,5092,a(flip)),flip(a)]. 5095 (1 / L(x,y,z)) * x = L(x,y,z) \ x. [para(5093(a,1),19(a,1,1))]. 5096 x / L(x,y,z) = L(x,y,z) \ x. [hyper(1264,a,5095,a)]. 5097 (L(x,y,z) \ x) * L(x,y,z) = x. [para(5096(a,1),19(a,1,1))]. 5098 (L(x,y,z) \ x) \ x = L(x,y,z). [para(5096(a,1),69(a,1,1))]. 5099 K(x \ 1,L(x,y,z)) * (u / L(x,w,v5)) = u / L((x \ 1) \ 1,w,v5). [para(2200(a,2),5067(a,2,2))]. 5100 K(x \ 1,L(x,y,z)) * (x / L(x,u,w)) != v5 | (L(x,u,w) \ 1) * x = v5. [para(5068(a,2),205(a,1))]. 5102 ((x \ (y * T(x,z))) * x) / T(x,z) = K(z,x) * T(K(z,x) \ y,x). [para(4356(a,2),4387(a,2,2,1,1))]. 5103 (K(x,y) * T(K(x,y) \ z,y)) * T(y,x) = (y \ (z * T(y,x))) * y. [para(5102(a,1),19(a,1,1))]. 5104 (x \ (y * T(x,z))) * x != u * T(x,z) | K(z,x) * T(K(z,x) \ y,x) = u. [para(5103(a,1),23(a,1))]. 5105 T(x,x \ y) \ R(T(x,x \ y),z,u) = x \ (y \ ((R(x,z,u) * (x \ y)) * x)). [hyper(75,a,4419,a(flip),b,4382,a),flip(a)]. 5106 L(L(x,y,z),z * y,K(z,u)) = (T(z,u) * y) \ (T(z,u) * (y * x)). [para(4407(a,1),4574(a,1,2)),flip(a)]. 5107 L(L(x,y,z),z * y,K(z,u)) != w | L(x,y,T(z,u)) = w. [para(5106(a,2),355(a,1))]. 5108 T(x \ y,z) * (y \ (x * K(z,x \ y))) = T((x \ y) * (y \ x),z). [para(15(a,1),4931(a,2,1,2,2))]. 5109 (x * y) * K(((x * y) \ (z * y)) \ 1,u) = (K((z / x) \ 1,u) * x) * y. [hyper(189,a,4756,a(flip),b,4940,a(flip)),flip(a)]. 5110 (1 / x) * K(((1 / x) \ y) \ 1,z) = K((y * x) \ 1,z) / x. [para(69(a,1),4979(a,1,1,1,1,2)),flip(a)]. 5111 x / L((y \ ((z \ 1) \ (z \ x))) * y,z \ 1,z) = K(y,x / (z * (y / ((z \ 1) \ 1)))). [para(166(a,1),5044(a,1,2))]. 5112 (x \ 1) * L((x \ 1) \ y,z,u) = L(y * x,z,u) / x. [para(2508(a,1),5077(a,1,2,1))]. 5113 L(x * y,z,u) / y = y \ L(y * x,z,u). [hyper(189,a,817,a(flip),b,5112,a(flip))]. 5114 (x \ L(x * y,z,u)) * x = L(y * x,z,u). [para(5113(a,1),19(a,1,1))]. 5115 x \ L(x * (y / x),z,u) = L(y,z,u) / x. [para(19(a,1),5113(a,1,1,1)),flip(a)]. 5116 L((x \ y) * x,z,u) = (x \ L(y,z,u)) * x. [para(17(a,1),5114(a,1,1,2,1)),flip(a)]. 5117 L(x * (y / x),z,u) = x * (L(y,z,u) / x). [para(5115(a,1),17(a,1,2)),flip(a)]. 5118 L(T((x \ y) * x,z),u,w) = T((x \ L(y,u,w)) * x,z). [para(5116(a,1),43(a,2,1))]. 5119 L((x \ ((y \ 1) \ z)) * x,y \ 1,y) = (x \ (y * z)) * x. [para(362(a,1),5116(a,2,1,2))]. 5120 K(x,L(x * (y / x),z,u)) = K(x,L(y,z,u)). [para(5117(a,2),4578(a,1,2))]. 5121 (x * y) * L(z * ((y \ z) / z),y,x) = (x * K(z,y \ 1)) * z. [para(5117(a,2),4916(a,1,2))]. 5122 L((x \ ((y \ 1) \ (y \ z))) * x,y \ 1,y) = (x \ z) * x. [para(17(a,1),5119(a,2,1,2))]. 5123 x / L((y \ ((z \ 1) \ (z \ x))) * y,z \ 1,z) = K(y,y \ x). [para(5122(a,2),4294(a,1,2))]. 5124 x * (y * (z * ((y \ z) / z))) = (x * K(z,y \ 1)) * z. [hyper(207,a,5121,a)]. 5125 (x * K(y,z \ 1)) * y = x * T(y,z \ 1). [para(3357(a,1),5124(a,1,2)),flip(a)]. 5130 (x * K(y,z)) * y = x * T(y,(z \ 1) \ 1). [para(3081(a,1),5125(a,1,1,2))]. 5132 (x * K(y,z)) * y = x * T(y,z). [para(2671(a,1),5130(a,2,2))]. 5133 x * T(y * K(x,z),x) = y * T(x,z). [hyper(206,a,5132,a)]. 5134 (K(x,y) * K(y,z)) * y = T(y,z) * K(x,y). [hyper(189,a,2759,a,b,5132,a)]. 5136 (x * K(y,z)) \ (x * T(y,z)) = y. [hyper(80,a,5132,a)]. 5138 (x * y) * K(T(x,y),z) = T(x,z) * y. [hyper(21,a,1514,a,b,5132,a)]. 5139 (x * y) * K(y,z) = x * T(y,z). [hyper(21,a,1476,a,b,5132,a)]. 5140 (x / y) * T(y,z) = x * K(y,z). [hyper(21,a,1461,a,b,5132,a),flip(a)]. 5142 (x * (y * T(z,u))) \ ((x * (y * K(z,u))) * z) = a(x,y * K(z,u),z). [para(5132(a,1),27(a,2,1,2)),flip(a)]. 5143 L(x \ 1,x,y * K(x,z)) = (y * T(x,z)) \ (y * K(x,z)). [para(5132(a,1),140(a,2,1))]. 5145 x \ (y * T(x,z)) != u | T(y * K(x,z),x) = u. [para(5132(a,1),238(a,1,2))]. 5146 (x * K(y,z)) * T(z,y) = x * z. [para(3919(a,1),5132(a,1,1)),flip(a)]. 5148 (T(x,y) \ 1) * y = (x \ 1) * T(y,x). [para(4369(a,1),5132(a,1,1))]. 5149 K(x,y * K(x,z)) * K(y * T(x,z),x) = x \ R(x,y * K(x,z),x). [para(5132(a,1),4696(a,1,2,1))]. 5150 L(x,K(x,y),z) = x. [hyper(4453,a,5136,a)]. 5151 (x * K(y,z)) \ (x * y) = y * K(z,y). [hyper(189,a,4507,a(flip),b,5150,a(flip)),flip(a)]. 5156 R(x,y,K(y,z)) = x. [hyper(4440,a,5139,a)]. 5157 (x * y) / K(z,y) = x * T(y,z). [hyper(3953,a,5139,a)]. 5158 (x * T(y,z)) * K(z,y) = x * y. [hyper(3929,a,5139,a)]. 5159 (x / y) \ (x * K(y,z)) = T(y,z). [hyper(430,a,5139,a)]. 5160 x * T(x \ y,z) = y * K(x \ y,z). [hyper(411,a,5139,a),flip(a)]. 5162 (K(x,x \ 1) * y) * K(y,z) = T(K(x,x \ 1) * y,z). [hyper(189,a,4147,a,b,5139,a)]. 5164 ((x / T(y,z)) * y) \ x = K(y,z). [hyper(75,a,19,a(flip),b,5139,a)]. 5165 (x * K(y,z)) \ ((x * y) * K(y,z)) = y. [hyper(75,a,5139,a,b,5132,a)]. 5167 (x * y) * K(y,z) != x * u | T(y,z) = u. [para(5139(a,2),22(a,1))]. 5168 K(x,y) \ (z * T(x,y)) != u | T(z * x,K(x,y)) = u. [para(5139(a,1),238(a,1,2))]. 5172 T(x,x \ T(y,z)) * K(y,z) = (x / y) * T(x * (y / x),z). [hyper(189,a,4203,a(flip),b,5140,a(flip))]. 5174 x * K(y \ x,z) != u | y * T(y \ x,z) = u. [para(5140(a,1),456(a,1))]. 5175 (x / y) \ T(x * K(y,z),(x / y) \ 1) = (((x / y) \ 1) \ T(y,z)) * ((x / y) \ 1). [para(5140(a,1),768(a,1,2,1))]. 5176 (x / T(y,z)) * y = x * K(z,y). [hyper(1489,a,5146,a)]. 5177 (x / T(y,z)) / K(z,y) = x / y. [hyper(418,a,5146,a),flip(a)]. 5178 (x / y) * K(z,y) = x / T(y,z). [hyper(76,a,19,a(flip),b,5146,a),flip(a)]. 5179 (K(x,y) * K(z,y * x)) \ (x * y) = T(y * x,z). [hyper(75,a,4373,a(flip),b,5146,a)]. 5180 (x \ y) * K(y,x) = x \ T(y,x). [hyper(21,a,4904,a,b,5146,a)]. 5183 (x * T(y,z)) * T(z,y) = (x * y) * z. [para(5139(a,1),5146(a,1,1))]. 5184 (x * T(x \ y,z)) \ y = K(z,x \ y). [para(5157(a,1),184(a,1,1))]. 5185 (x * T(y * K(z,y),u)) / K(z,T(y * K(z,y),u)) = x * T(y,u). [para(4420(a,1),5157(a,2,2))]. 5189 (x * y) * K(y,z) != u | x * T(y,z) = u. [para(5158(a,1),3921(a,1,1)),flip(b)]. 5190 (x * K(y,z)) * z = (x * z) * K(y,z). [para(5146(a,1),5158(a,1,1)),flip(a)]. 5191 ((x / y) \ T(x * K(y,z),(x / y) \ 1)) / T(y,z) = K(x * K(y,z),(x / y) \ 1). [para(5159(a,1),4727(a,1,2))]. 5192 T(x,y) / ((z / x) \ T(z * K(x,y),(z / x) \ 1)) = K((z / x) \ 1,z * K(x,y)). [para(5159(a,1),4803(a,1,1))]. 5194 (x / y) * K(z,y) != u | x / T(y,z) = u. [para(5177(a,1),200(a,1,1)),flip(b)]. 5196 (x / y) * K(x,y) != z | T(x,y) / y = z. [para(5178(a,2),3580(a,1))]. 5198 x \ T(x * y,x) = y * K(x * y,x). [para(16(a,1),5180(a,1,1)),flip(a)]. 5200 x \ T(x * K(y \ 1,y),z) = T(K(y \ 1,y) * K(x,z),x). [hyper(75,a,4987,a,b,5133,a)]. 5202 x * T(y,z) != u | (x * K(y,z)) * y = u. [para(5133(a,1),205(a,1))]. 5206 (x * K(y,z)) * (y * K(z,y)) = x * y. [para(5151(a,1),17(a,1,2))]. 5207 x / (y * K(z,y)) = (x / y) * K(y,z). [para(5151(a,1),234(a,1,2))]. 5208 K((x \ y) \ y,z) = T(K(x,z),y). [hyper(4784,a,5160,a),flip(a)]. 5209 K((x \ y) \ 1,z) = K(y \ x,z). [hyper(4755,a,5160,a)]. 5210 T(K(x / y,z),x) = K(y \ x,z). [hyper(4639,a,5160,a)]. 5211 x \ T(x * y,z) = y * K((x \ 1) \ y,z). [hyper(785,a,5160,a)]. 5212 (x \ y) * K((x \ 1) \ (x \ y),z) = x \ T(y,z). [hyper(189,a,771,a(flip),b,5160,a(flip))]. 5217 x \ (y * T(y \ x,z)) != u | K(y \ x,z) = u. [para(5160(a,2),237(a,1,2)),flip(b)]. 5219 R(T(K(x \ y,y),y * z),y,z) = (y * z) \ ((x * T(x \ y,y)) * z). [para(5160(a,2),2770(a,1,2,1)),flip(a)]. 5222 K(T(x,x \ y),z) = T(K(x,z),y). [para(114(a,2),5208(a,1,1))]. 5223 T(K(x,y),z * x) = K(T(x,z),y). [para(3555(a,2),5208(a,1,1)),flip(a)]. 5224 K(((x * y) \ x) \ 1,z) = K(y,z). [hyper(189,a,1215,a(flip),b,5209,a)]. 5226 K(T(x,y) \ 1,z) = K((x * y) \ y,z). [para(35(a,2),5209(a,1,1,1))]. 5228 K(L(x \ y,x,z) \ 1,u) = K((z * y) \ (z * x),u). [para(104(a,2),5209(a,1,1,1))]. 5231 K(x,(y \ z) \ 1) = K(z \ y,x) \ 1. [para(5209(a,1),3871(a,1,1)),flip(a)]. 5233 K(x \ y,z) \ z != u | T(z,(y \ x) \ 1) = u. [para(5209(a,1),4386(a,1,1))]. 5235 K(L(x \ y,z,u) \ 1,w) = L(K(y \ x,w),z,u). [para(5209(a,1),4824(a,1,1)),flip(a)]. 5236 (1 / x) * K(y \ (1 / x),z) = K((y * x) \ 1,z) / x. [para(5209(a,1),5110(a,1,2))]. 5237 T(((x * y) \ x) \ 1,z) = ((x * y) \ x) \ K(y,z). [hyper(75,a,5224,a(flip),b,4359,a),flip(a)]. 5238 (1 / ((x * y) \ x)) * K(y,z) = T(1 / ((x * y) \ x),z). [para(5224(a,1),4442(a,1,2))]. 5239 R(T(x,y * K(x,z)),y,K(x,z)) = T(x,y). [para(5165(a,1),832(a,1,1)),flip(a)]. 5241 ((x * y) * z) / (y * z) = R(x,T(y,z),T(z,y)). [hyper(76,a,5183,a(flip),b,3579,a)]. 5243 (x \ T(x * y,z)) \ y = K(z,(x \ 1) \ y). [para(729(a,1),5184(a,1,1))]. 5244 K(x,(y \ 1) \ (y \ z)) = (y \ T(z,x)) \ (y \ z). [para(771(a,1),5184(a,1,1)),flip(a)]. 5245 ((x * T(x \ y,z)) * u) \ (y * u) = K(z,(x * u) \ (y * u)). [para(1100(a,1),5184(a,1,1))]. 5246 K(x,y) * z != (u * K(x,y)) * y | T(u * y,K(x,y)) = z. [para(5190(a,2),148(a,2))]. 5247 T(x * y,x) / T(x,y) = y * K(x * y,x). [hyper(189,a,3977,a,b,5198,a(flip)),flip(a)]. 5248 x * (y * K(x * y,x)) = T(x * y,x). [para(5198(a,1),17(a,1,2))]. 5250 T(x,y) * K((x \ ((y \ 1) \ x)) * T(x,y),x \ ((y \ 1) \ x)) = (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,x \ ((y \ 1) \ x)). [para(3755(a,1),5198(a,1,2,1)),flip(a)]. 5252 (x * K(y,z)) * z = x * (z * K(y,z)). [para(3919(a,1),5206(a,1,1)),flip(a)]. 5254 (x / (y \ z)) * K(y \ z,y) = x / (z / y). [para(4295(a,1),5207(a,1,2)),flip(a)]. 5256 K((x * y) \ y,T(x,z)) = K(x \ 1,x). [hyper(189,a,2909,a(flip),b,5226,a(flip))]. 5257 K((x * y) \ y,z) = K(y \ (x \ y),z). [para(4267(a,1),5226(a,1,1)),flip(a)]. 5258 K(x,(y \ z) \ 1) = K(x,z \ y). [hyper(189,a,3871,a(flip),b,5231,a)]. 5259 K(x,(y \ z) \ 1) != u | K(x,z \ y) = u. [para(5231(a,2),3872(a,1))]. 5260 T(K(x,y / z),y) = K(x,z \ y). [hyper(189,a,4875,a,b,5258,a(flip)),flip(a)]. 5261 K(x,(y * z) \ y) = K(x,z \ 1). [para(16(a,1),5258(a,1,2,1)),flip(a)]. 5262 K(x,((y * z) \ y) \ 1) = K(x,z). [para(16(a,1),5258(a,2,2))]. 5264 K(x,(T(y,z) * (y \ u)) \ 1) = K(x,(T(y,z) * u) \ y). [para(975(a,1),5258(a,1,2,1))]. 5266 T(x \ y,K(z,y \ x)) = x \ y. [para(5258(a,1),1827(a,1,2))]. 5268 K(x,(K(y,z) * u) \ 1) = K(x,u \ K(z,y)). [para(3889(a,1),5258(a,1,2,1))]. 5269 x * K(y,z \ x) = z * ((y * (z \ x)) / y). [para(5258(a,1),4649(a,1,2))]. 5270 K(x,(y / z) \ 1) * z = z * K(x,y \ z). [para(5258(a,1),4853(a,2,2))]. 5271 K(x,y / z) * y = y * K(x,z \ y). [para(5258(a,1),4874(a,1,2)),flip(a)]. 5272 (((x \ y) \ 1) \ x) * ((x \ y) \ 1) = x * K(y,y \ x). [para(5258(a,1),4859(a,2,2))]. 5273 K(x,(y \ z) \ z) = T(K(x,y),z). [para(67(a,1),5260(a,1,1,2)),flip(a)]. 5276 K(x,y \ z) * (z \ y) = (z \ y) * K(x,y \ z). [para(5266(a,1),113(a,1,2))]. 5277 K(x,T(y,y \ z)) = T(K(x,y),z). [para(114(a,2),5273(a,1,2))]. 5278 T(K(x,y),z * y) = K(x,T(y,z)). [para(3555(a,2),5273(a,1,2)),flip(a)]. 5279 T(K(x,y),y * z) = K(x,T(y,z)). [para(16(a,1),5277(a,1,2,2)),flip(a)]. 5280 K(x * y,T(y,x)) != z | K(x * y,y) = z. [para(5278(a,1),2658(a,1))]. 5281 (x * y) * K(z,T(x,y)) = K(z,x) * (x * y). [para(5279(a,1),113(a,1,2))]. 5282 K(x,y) * K(y,T(x,z)) = K(x * z,K(x,y)). [para(5279(a,1),4463(a,1,2))]. 5284 (x * K(y,z)) \ (x * (z * K(y,z))) = z. [hyper(80,a,5252,a)]. 5285 (x * y) * K(z,y) = x * (y * K(z,y)). [hyper(189,a,5190,a(flip),b,5252,a(flip)),flip(a)]. 5286 (x * (y * K(z,y))) / (y * K(u,y)) = (x * K(z,y)) * K(y,u). [hyper(76,a,5252,a(flip),b,5206,a)]. 5289 K(((x * y) * z) \ (y * z),T(R(x,y,z),u)) = K(R(x,y,z) \ 1,R(x,y,z)). [para(110(a,1),5256(a,1,1,1))]. 5290 1 / (x \ K(y \ (z \ y),x)) = T(x,(z * y) \ y). [para(5257(a,1),4466(a,2,2,2)),flip(a)]. 5291 L(T(x,K(y,x)),K(y,x),z) = x. [hyper(645,a,5284,a)]. 5292 (x * K(y,z)) * z != u | x * (z * K(y,z)) = u. [para(5284(a,1),203(a,1,2)),flip(b)]. 5294 L(x,K(y,x),z) = x. [para(2753(a,1),5291(a,1,1))]. 5295 L(L(x,y,z),K(u,x),w) = L(x,y,z). [para(5294(a,1),48(a,1,1)),flip(a)]. 5296 (x * K(y,z)) * T(z,u) = x * (K(y,z) * T(z,u)). [para(5294(a,1),350(a,1,2,1))]. 5300 R(x,K(y,z),L(L(z,u,w),K(y,z),x)) = (x * (K(y,z) * L(z,u,w))) / (K(y,z) * L(z,u,w)). [para(5295(a,1),349(a,1,2,2)),flip(a)]. 5301 R(x,y,K(z,y)) = x. [hyper(376,a,5285,a)]. 5302 L(K(x,y),y,z) = K(x,y). [hyper(346,a,5285,a)]. 5303 (x * (y \ z)) * K(y,y \ z) = x * (z / y). [para(4295(a,1),5285(a,2,2))]. 5307 L(K(x,y),y,z) = K(x,((u * y) \ u) \ 1). [hyper(189,a,5262,a,b,5302,a)]. 5309 L(L(K(x,y),z,u),y,w) = L(K(x,y),z,u). [para(5302(a,1),48(a,1,1)),flip(a)]. 5312 ((x * y) / x) * K(y,z) != u | K(x,y) * T(y,z) = u. [para(4468(a,2),5189(a,1,1))]. 5313 K(x,x \ y) * K(z,y) != u | (x * (y / x)) / T(y,z) = u. [para(4298(a,1),5194(a,1,1))]. 5314 x * (K(y,x) * K(y * x,y)) = T(y * x,y) / y. [hyper(5196,a,4496,a),flip(a)]. 5318 K(x,1 / (y \ z)) != u | K(x,z \ y) = u. [para(3083(a,2),5259(a,1))]. 5319 K(x,(K(y,z) * u) \ 1) != w | K(x,u \ K(z,y)) = w. [para(3889(a,1),5259(a,1,2,1))]. 5322 L(K(x,T(y,z)),T(y,z),u) = K(x,((y * z) \ z) \ 1). [para(113(a,1),5307(a,2,2,1,1))]. 5323 K(x,((y * z) \ y) \ 1) != u | K(x,z) = u. [para(5307(a,1),3201(a,1)),flip(b)]. 5325 K(x,T(y / z,y)) != u | K(x,z \ y) = u. [para(4272(a,2),5318(a,1,2))]. 5326 K(x,(y \ 1) \ 1) != z | K(x,y) = z. [para(14(a,1),5323(a,1,2,1,1))]. 5327 L(K(x,y),y,z) != u | K(x,y) = u. [para(5307(a,2),5323(a,1))]. 5329 K(x,T(y \ 1,z)) != u | K(x,T(1 / y,z)) = u. [para(2096(a,1),5326(a,1,2))]. 5330 K(x,R(T(y,y \ 1),z,u)) != w | K(x,R(y,z,u)) = w. [para(3107(a,2),5326(a,1,2))]. 5332 K(x,T(y / z,y)) = K(x,z \ y). [hyper(5325,a,xx),flip(a)]. 5333 K(x,(y \ z) \ z) = K(x,T(y,z)). [para(67(a,1),5332(a,1,2,1)),flip(a)]. 5334 K(x,T(y,z)) = T(K(x,y),z). [hyper(189,a,5273,a(flip),b,5333,a(flip))]. 5335 K(x,T(y,y \ z)) = K(x,T(y,z)). [para(114(a,2),5333(a,1,2))]. 5336 K(x,T(y * K(z,u),y)) = K(x,K(z,u) * y). [para(3931(a,1),5333(a,1,2)),flip(a)]. 5337 K((x \ y) \ y,z) = K(x,T(z,y)). [hyper(189,a,5208,a,b,5334,a),flip(a)]. 5338 K(x,K(y,z)) * K(z,y) = K(z,T(y,x)). [hyper(189,a,4539,a,b,5334,a),flip(a)]. 5339 x \ (K(y,z) \ x) = K(z,T(y,x)). [hyper(189,a,3913,a,b,5334,a),flip(a)]. 5340 K(x / y,T(z,x)) = K(y \ x,z). [hyper(189,a,5210,a(flip),b,5334,a)]. 5341 K(x,T(y,T(x,z))) = K(x,y). [hyper(189,a,2662,a(flip),b,5334,a)]. 5342 K(x,T(y,K(z,x))) = K(x,y). [hyper(189,a,1957,a(flip),b,5334,a)]. 5343 K(x \ 1,T(y,x)) = K(x \ 1,y). [hyper(189,a,1153,a(flip),b,5334,a)]. 5344 T(K(x,y),z * y) = T(K(x,y),z). [hyper(189,a,5278,a,b,5334,a(flip)),flip(a)]. 5345 x * K(y,T(z,x)) = K(y,z) * x. [para(5334(a,2),113(a,1,2))]. 5346 x * K(y,T(z,x)) != u | K(y,z) * x = u. [para(5334(a,2),205(a,1,2))]. 5347 x / K(y,T(z,x)) = K(y,z) \ x. [para(5334(a,2),3866(a,1,2))]. 5348 (K(x,y) * z) * K(y,T(x,z)) = z. [para(5334(a,2),3949(a,1,2))]. 5349 x * T(K(x,y),z) = T(x,T(y,z)). [para(5334(a,1),4396(a,2,2)),flip(a)]. 5350 K(x,y) * K(y,T(x,z)) != u | K(z,K(x,y)) = u. [para(5334(a,2),4673(a,1,2))]. 5351 R(K(x,T(y,z)),u,w) \ 1 = T(R(K(x,y),u,w) \ 1,z). [para(5334(a,2),4983(a,1,1,1))]. 5352 T(x,y) * K(z,T(x,T(z,u))) = K(z,x) * T(x,y). [para(5341(a,2),2759(a,1,2))]. 5353 T(x,T(y,T(x,z))) = x * K(x,y). [para(5341(a,1),4396(a,2,2))]. 5354 T(x * K(y,x),T(y,z)) = T(x,T(y,z)) * K(y,x). [para(5341(a,1),4653(a,1,2)),flip(a)]. 5355 T(x,T(y,K(z,x))) = x * K(x,y). [para(5342(a,1),4396(a,2,2))]. 5356 K(x,T(y * z,y * (z * u))) = K(x,T(y * z,L(u,z,y))). [para(31(a,2),5335(a,1,2,2)),flip(a)]. 5357 K(x,T(y,z \ 1)) = K(x,T(y,z \ y)). [para(3749(a,1),5335(a,1,2))]. 5358 R(x,y,K(z,T(y,u))) = x. [para(5337(a,1),5301(a,1,3))]. 5359 (x * y) * K(z,T(y,u)) = x * (y * K(z,T(y,u))). [para(5358(a,1),110(a,1,1)),flip(a)]. 5360 K(x,y) * (z * K(y,T(x,z))) = z. [para(5339(a,1),63(a,1,2,2))]. 5365 (K(x,y) * z) * K(T(y,z),x) = z. [hyper(3929,a,5345,a)]. 5366 (x \ y) \ (T(x,z) \ y) = K(z,T(x,x \ y)). [hyper(75,a,4558,a(flip),b,5345,a)]. 5367 K(x,T(y \ 1,z)) = K(x,z \ (y \ z)). [hyper(20,a,4854,a,b,5345,a)]. 5368 K(x,x \ y) * K(z,y) = K(z,y) * K(x,x \ y). [para(4320(a,1),5345(a,1,2,2))]. 5369 x * K(T(y,x),z) = K(z,y) \ x. [hyper(3930,a,5347,a)]. 5370 x * K(T(y,x),z) = K(y,z) * x. [hyper(3929,a,5348,a)]. 5372 T(x,T(y,z)) != x * u | T(K(x,y),z) = u. [para(5349(a,1),22(a,1))]. 5373 T(x,T(y,T(x,z))) = T(x,y). [hyper(189,a,4396,a,b,5353,a)]. 5375 T(x / (x / y),T(z,y)) = T(x / (x / y),z). [para(164(a,1),5373(a,1,2,2))]. 5376 T(x * K(y,x),T(z,x)) = T(x * K(y,x),z). [para(4374(a,1),5373(a,1,2,2))]. 5377 x * T(y * K(x,y),T(x,z)) = T(x,y) * T(y,T(x,z)). [para(5373(a,1),4659(a,1,1)),flip(a)]. 5378 T(x,T(y,K(z,x))) = T(x,y). [hyper(189,a,4396,a,b,5355,a)]. 5379 K(T(x,y),z) = T(K(x,z),y). [hyper(3950,a,5365,a),flip(a)]. 5380 K(T(x,y),z) = K(x,T(z,y)). [hyper(20,a,5348,a,b,5365,a)]. 5381 K(T(x,x \ y),z) = K(T(x,y),z). [hyper(189,a,5222,a,b,5379,a),flip(a)]. 5382 K((x \ y) \ y,z) = K(T(x,y),z). [hyper(189,a,5208,a,b,5379,a),flip(a)]. 5383 K(T(x,y),y / z) = K(x,z \ y). [hyper(189,a,5260,a(flip),b,5379,a)]. 5384 K(T(x,y * x),z) = K(T(x,y),z). [hyper(189,a,5223,a(flip),b,5379,a)]. 5385 K(T(x,T(y,z)),y) = K(x,y). [hyper(189,a,2781,a(flip),b,5379,a)]. 5386 K(T(x,y \ 1),y) = K(x,y). [hyper(189,a,1841,a(flip),b,5379,a)]. 5387 T(K(x,y),z) * T(x,z) = T(T(x,z),y). [para(5379(a,1),4403(a,2,1)),flip(a)]. 5388 x * K(T(x,y),z) = T(x,T(z,y)). [para(5379(a,2),5349(a,1,2))]. 5389 K(T(x,x * y),y) = K(x,y). [hyper(189,a,3515,a(flip),b,5380,a)]. 5390 x * K(T(y,z),u) = x * K(y,T(u,z)). [hyper(24,a,5380,a)]. 5391 T(K(x,y),z * x) = K(x,T(y,z)). [hyper(189,a,5223,a,b,5380,a(flip)),flip(a)]. 5392 K(x,T(y,x \ z)) = T(K(x,y),z). [hyper(189,a,5222,a(flip),b,5380,a(flip))]. 5393 K(R(T(x,y),z,u),w) = K(R(x,z,u),T(w,y)). [para(45(a,2),5380(a,1,1))]. 5394 K(x / y,T(z,y)) = K(y \ x,z). [para(115(a,1),5380(a,1,1)),flip(a)]. 5395 K(T(x,y),z / y) = K(x,y \ z). [para(115(a,1),5380(a,2,2))]. 5396 K((x * y) / x,T(z,x)) = K(y,z). [para(142(a,1),5380(a,1,1)),flip(a)]. 5397 K(T(x,y),L(y,z,u)) = K(x,L(y,z,u)). [para(125(a,1),5380(a,2,2))]. 5398 K(x,T(y,T(T(x,z),u))) = K(x,y). [para(329(a,1),5380(a,1,1)),flip(a)]. 5399 K(x,T(y,R(T(x,z),u,w))) = K(x,y). [para(667(a,1),5380(a,1,1)),flip(a)]. 5400 K(x,T(y,z * (x / z))) = K(x,y). [para(3780(a,1),5380(a,1,1)),flip(a)]. 5401 x / K(y,T(z,u)) = x * K(z,T(y,u)). [para(5380(a,1),3890(a,1,2))]. 5402 K(x,T(y,z)) \ u != w | K(y,T(x,z)) * u = w. [para(5380(a,1),3909(a,1,1))]. 5403 (x * K(y,T(z,u))) \ x != w | K(z,T(y,u)) = w. [para(5380(a,1),3922(a,1,1,2))]. 5404 x * K(y,T(z,u)) != w | w * K(z,T(y,u)) = x. [para(5380(a,1),3929(a,1,2))]. 5405 x / K(y,T(z,u)) != w | x * K(z,T(y,u)) = w. [para(5380(a,1),3930(a,1,2))]. 5406 K(x,T(y,z)) * T(x,z) = T(T(x,z),y). [para(5380(a,1),4403(a,2,1)),flip(a)]. 5407 x * K(T(x,y),z) != u | T(x,T(z,y)) = u. [para(5380(a,2),4399(a,1,2))]. 5408 (T(x,T(y,z)) * y) / K(x,y) = y * T(x,T(y,z)). [para(5385(a,1),127(a,1,2))]. 5409 K(L(x,y,x),y) = K(x,y). [hyper(3941,a,5389,a)]. 5410 K(T(x * K(y,z),x),u) = K(K(y,z) * x,u). [para(3931(a,1),5382(a,1,1)),flip(a)]. 5411 K(x,L(L(x,y,z),u,w) / v5) = K(x,v5 \ L(L(x,y,z),u,w)). [para(750(a,1),5383(a,1,1))]. 5412 K(x,T(y,z * x)) = K(x,T(y,z)). [hyper(189,a,5334,a,b,5391,a(flip)),flip(a)]. 5413 (x * y) * K(y,T(z,x)) = K(y,z) * (x * y). [para(5391(a,1),113(a,1,2))]. 5414 K(x,T(y,x \ z)) = K(x,T(y,z)). [hyper(189,a,5334,a,b,5392,a)]. 5415 K((x * y) / x,T(z,x)) != u | K(y,z) = u. [para(5394(a,2),4566(a,1))]. 5416 K(L(x,y,z),u / x) = K(L(x,y,z),x \ u). [para(125(a,1),5395(a,1,1))]. 5417 K(x,y / (z * (x / z))) = K(x,(z * (x / z)) \ y). [para(3780(a,1),5395(a,1,1))]. 5418 T(x,T(y,T(T(x,z),u))) = K(x,y) * x. [para(5398(a,1),4403(a,2,1))]. 5419 K(x * y,T(z,y * x)) = K(x * y,z). [para(18(a,1),5400(a,1,2,2,2))]. 5420 K(x,T(y,z / x)) = K(x,T(y,z)). [para(19(a,1),5412(a,1,2,2)),flip(a)]. 5421 K(x,T(y,x * z)) = K(x,T(y,z)). [para(16(a,1),5414(a,1,2,2)),flip(a)]. 5422 K(x,T(y,z \ 1)) = K(x,T(y,z \ x)). [para(3785(a,1),5420(a,1,2))]. 5423 K(x * y,T(z,x \ 1)) = K(x * y,T(z,y)). [para(3786(a,1),5420(a,1,2))]. 5424 K(T(x,(y \ z) \ u),z \ (y * u)) = K(x,L((y \ z) \ u,y \ z,y)). [para(359(a,1),5397(a,1,2))]. 5425 K(x,y) * T(x,T(z,y)) = T(T(x,y),z). [hyper(4670,a,5406,a)]. 5426 T(x,T(y,T(T(x,z),u))) = T(x,y). [hyper(189,a,4403,a,b,5418,a)]. 5427 T(x * K(y,x),T(z,T(x,u))) = T(x * K(y,x),z). [para(4374(a,1),5426(a,1,2,2,1))]. 5429 K(x / y,T(z,y)) != u | K(y \ x,z) = u. [para(17(a,1),5415(a,1,1,1))]. 5430 K(x,T(y,z)) != u | K(T(x,z),y) = u. [para(143(a,1),5415(a,1,1))]. 5431 T(K(x,y),z) != u | K(T(x,z),y) = u. [para(5334(a,1),5430(a,1))]. 5434 K(T(x,x \ y),z) != u | K(T(x,y),z) = u. [para(5222(a,2),5431(a,1))]. 5438 K(T(x \ 1,x * y),z) != u | K(T(x \ 1,y),z) = u. [para(3612(a,1),5434(a,1,1))]. 5440 T(x,x \ 1) * K(y,x) = (x * (K(y,x) / x)) * x. [para(2943(a,1),5134(a,1,1)),flip(a)]. 5441 T(x,y) / (z \ x) = z * K(((z \ x) \ 1) \ z,y). [hyper(4189,a,5211,a)]. 5442 K((x \ 1) \ y,x) = K(x * y,x). [hyper(20,a,5198,a(flip),b,5211,a(flip))]. 5443 T(x * L(x \ (x * y),z,u),x) = x * L(y * K((x \ 1) \ y,x),z,u). [para(5211(a,1),1352(a,2,2,1))]. 5445 T(x * K((y \ 1) \ x,z),y) = y \ T(x * y,z). [para(5211(a,1),4161(a,1,1))]. 5446 L(K(x * y,x) * K(z * y,K(x * y,x)),y,z) = (z * (T(x * y,x) / T(x,y))) / (z * y). [para(5247(a,2),4490(a,2,1,2))]. 5447 (x / (y / z)) * K(z,z \ y) = x / (z \ y). [hyper(3929,a,5254,a)]. 5450 T(x / (y / z),K(z,z \ y)) != u | K(z \ y,z) * (x / (z \ y)) = u. [para(5254(a,1),4630(a,1,1))]. 5451 (x * ((y / z) / x)) * z = y * K(x,(x * z) \ y). [hyper(189,a,1786,a(flip),b,5269,a),flip(a)]. 5452 ((x \ y) * z) * K(x,T(x \ y,z)) = (y / x) * z. [hyper(189,a,4303,a(flip),b,5281,a)]. 5453 (x * (y / z)) * K(z \ y,z) = x * (z \ y). [hyper(3929,a,5303,a)]. 5456 (x \ y) \ (T(x,z) \ y) = K(z,T(x,y)). [hyper(189,a,5335,a(flip),b,5366,a)]. 5457 (x \ y) * K(z,T(x,y)) = T(x,z) \ y. [para(5456(a,1),17(a,1,2))]. 5458 T(T(T(x,y) / (T(x,y) / y),x),z) = L(T(y,z),y \ T(x,y),y). [para(5375(a,1),3644(a,1,1))]. 5459 T(x * K(y,x),T(T(z,x),u)) = T(x * K(y,x),T(z,u)). [para(41(a,1),5376(a,1,2))]. 5460 K(x,y) * (z * x) = z * T(x,T(y,z)). [hyper(5189,a,5413,a),flip(a)]. 5461 K(x,K(y,z)) * (T(y,u) * x) = T(y,u) * T(x,K(y,z)). [para(2662(a,1),5460(a,2,2,2))]. 5463 (x / (y / z)) * (z \ y) = x * K(z \ y,z). [hyper(252,a,5453,a),flip(a)]. 5466 K((x \ y) \ 1,z) != u | K(y \ x,z) = u. [para(4523(a,1),5217(a,1))]. 5467 K((x / y) \ 1,y) != z | K(x \ y,y) = z. [para(4761(a,1),5217(a,1))]. 5469 K((K(x,y) * z) \ 1,u) != w | K(z \ K(y,x),u) = w. [para(3889(a,1),5466(a,1,1,1))]. 5470 K(x / y,x) != z | K(y \ x,x) = z. [para(4760(a,1),5467(a,1))]. 5471 T(x,(y \ z) \ 1) = T(x,z \ y). [hyper(5233,a,4371,a(flip))]. 5472 T(x,(y * z) \ y) = T(x,z \ 1). [para(16(a,1),5471(a,1,2,1)),flip(a)]. 5474 T(x,(y * (z * u)) \ (y * z)) = T(x,L(u,z,y) \ 1). [para(31(a,2),5471(a,1,2,1)),flip(a)]. 5475 (1 / (x \ y)) * T(z,y \ x) = z * (1 \ (1 / (x \ y))). [para(5471(a,1),2690(a,1,2))]. 5476 K(x,T(y,(z \ u) \ y)) = K(x,T(y,u \ z)). [para(5471(a,1),5357(a,1,2)),flip(a)]. 5477 K(x,T(y,(z \ u) \ x)) = K(x,T(y,u \ z)). [para(5471(a,1),5422(a,1,2)),flip(a)]. 5479 R(x,T(y,z),T(z,y)) = R(x,y,z). [hyper(385,a,5241,a),flip(a)]. 5480 R(x,T(y,z),T(z,y)) != u | R(x,y,z) = u. [para(5241(a,1),385(a,1))]. 5482 R(T(x,y),T(z,u),T(u,z)) = T(R(x,z,u),y). [hyper(189,a,45,a(flip),b,5479,a)]. 5484 T(R(x,y,z),u) != w | R(T(x,u),y,z) = w. [para(5482(a,1),5480(a,1))]. 5486 K(x * y,K(x,z)) = K(y,K(x,z)). [hyper(5350,a,5282,a),flip(a)]. 5487 K(x * y,K(y,z)) = K(x,K(y,z)). [hyper(189,a,4878,a,b,5486,a(flip)),flip(a)]. 5488 K(T(x,y),z) != u | K(x,T(z,y)) = u. [para(3877(a,1),5403(a,1))]. 5490 T(K(x,y),z) != u | K(x,T(y,z)) = u. [para(5379(a,1),5488(a,1))]. 5491 K(x,(y \ z) \ z) != u | K(x,T(y,z)) = u. [para(5273(a,2),5490(a,1))]. 5492 K(x,T(y,y \ z)) != u | K(x,T(y,z)) = u. [para(5277(a,2),5490(a,1))]. 5493 T(K(x,y),z * y) != u | K(x,T(y,z)) = u. [para(5344(a,2),5490(a,1))]. 5494 K(x,T(y,x \ z)) != u | K(x,T(y,z)) = u. [para(5392(a,2),5490(a,1))]. 5495 (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) != u | K(z,T(x,y)) = u. [para(527(a,2),5491(a,1))]. 5496 K(x,(L(y,z,u) * (y \ w)) \ (L(y,z,u) * w)) != v5 | K(x,T(y,L(y,z,u) * w)) = v5. [para(961(a,1),5491(a,1,2,1))]. 5497 K(x,T(y,z \ 1)) != u | K(x,T(y,z \ y)) = u. [para(3749(a,1),5492(a,1,2))]. 5498 K(x,T(y,z * y)) != u | K(x,T(y,z)) = u. [para(5334(a,2),5493(a,1))]. 5499 K(x,T(y,y * z)) != u | K(x,T(y,z)) = u. [para(3507(a,1),5498(a,1,2))]. 5500 x * K(T(y,z),u) != w | x * K(y,T(u,z)) = w. [para(3890(a,1),5405(a,1))]. 5501 x * T(K(y,z),u) != w | x * K(y,T(z,u)) = w. [para(5379(a,1),5500(a,1,2))]. 5502 L(K((x \ 1) \ (x \ y),z),x \ y,(x \ y) \ 1) / (x \ T(y,z)) = 1 / (x \ y). [para(5212(a,1),2375(a,1,2))]. 5505 T(L(x \ 1,x,y) \ 1,z) = ((y * x) \ y) \ K(x,z). [para(140(a,2),5237(a,1,1,1))]. 5508 K(((x * y) \ x) \ 1,z) * ((((x * y) \ x) \ K(y,z)) \ u) = (((x * y) \ x) \ 1) \ u. [para(5237(a,1),4541(a,1,2,1))]. 5509 K(x,((T(y,x) / z) \ 1) \ ((T(y,x) / z) \ y)) = z \ ((T(y,x) / z) \ y). [para(69(a,1),5244(a,2,1))]. 5510 T(x \ y,z) * ((y \ x) * K(z,x \ y)) = (x \ y) * (y \ x). [para(5276(a,1),4412(a,1,2))]. 5511 T(x,(y * z) \ z) != u | T(x,z \ (y \ z)) = u. [para(5290(a,1),4467(a,1))]. 5512 T(x,T(y \ 1,z)) != u | T(x,z \ (y \ z)) = u. [para(4244(a,2),5511(a,1,2))]. 5513 R(x,K(y,z),T(z,u)) = x. [hyper(376,a,5296,a)]. 5514 x / (K(y,z) * T(z,u)) = (x / T(z,u)) * K(z,y). [hyper(189,a,3924,a(flip),b,5513,a(flip)),flip(a)]. 5515 L(K(x,T(y,z)),y,u) = K(x,T(y,z)). [hyper(346,a,5359,a)]. 5516 R(x,x \ K(y,x),x) = T(x,x \ 1). [hyper(21,a,3768,a,b,5440,a),flip(a)]. 5517 R(x,T(x,y) \ 1,x) = T(x,x \ 1). [para(4364(a,2),5516(a,1,2))]. 5518 R(T(x,y),T(x,z) \ 1,x) = T(T(x,x \ 1),y). [para(5517(a,1),45(a,2,1))]. 5519 T(T(x,x \ 1),y) \ x = (T(x,y) \ 1) * x. [para(5518(a,1),313(a,1,1))]. 5520 T((x \ 1) \ 1,y) \ x = (T(x,y) \ 1) * x. [para(114(a,1),5519(a,1,1,1))]. 5521 (K(x,x \ (y / z)) * (y / z)) * z = y * K(x,(x * z) \ y). [para(4314(a,2),5451(a,1,1))]. 5522 x / (T(y,z) * K(u,y)) = (x / T(y,z)) * K(y,u). [para(2759(a,2),5514(a,1,2))]. 5523 T(x * y,K(y,z)) = y * T(x,T(y,z)). [hyper(5168,a,4569,a)]. 5526 L(K(x \ y,z),y,u) = K((u * x) \ (u * y),z). [hyper(189,a,5235,a(flip),b,5228,a(flip)),flip(a)]. 5527 L(K((x \ y) \ z,u),z,x) = K(y \ (x * z),u). [para(17(a,1),5526(a,2,1,1))]. 5528 L(K(x \ (y \ z),u),y \ z,y) = K((y * x) \ z,u). [para(17(a,1),5526(a,2,1,2))]. 5529 K((x * (y / z)) \ (x * y),u) = L(K(z,u),y,x). [para(69(a,1),5526(a,1,1,1)),flip(a)]. 5530 L(K(x \ T(y,z),u),T(y,z),z) = K((z * x) \ (y * z),u). [para(113(a,1),5526(a,2,1,2))]. 5531 L(K(x \ y,z),y,u) = K(L(x \ y,x,u),z). [para(104(a,2),5526(a,2,1))]. 5532 L(K(x * y,x),y,z) = K((z * (x \ 1)) \ (z * y),x). [para(5442(a,1),5526(a,1,1))]. 5533 K(L(x \ y,x,z),y) = K(x \ y,y). [hyper(5327,a,5531,a),flip(a)]. 5534 K(L(x \ y,x,K(y,z)),u) = K(x \ y,u). [hyper(3714,a,5531,a)]. 5535 K((x \ y) \ z,z) = K(y \ (x * z),z). [para(359(a,1),5533(a,1,1)),flip(a)]. 5536 K(L(x \ y,T(x,z),z),y) = K(x \ y,y). [para(4933(a,1),5533(a,1,1))]. 5537 K(x \ y,K(y,z) * x) * (K(y,z) * (x * (x \ y))) = L(x \ y,x,K(y,z)) * (K(y,z) * x). [para(5534(a,1),4472(a,1,1))]. 5538 K((x \ y) \ z,T(z,u)) = K(y \ (x * z),T(z,u)). [hyper(189,a,5515,a(flip),b,5527,a(flip)),flip(a)]. 5539 (x * y) * K(z \ (x * y),u) = x * (y * K((x \ z) \ y,u)). [para(5527(a,1),102(a,1,2))]. 5540 K(L(x,y / x,z),u) = L(K(x,u),y,z). [para(105(a,2),5529(a,1,1))]. 5541 L(K(x,y),z * x,u) = K(L(x,z,u),y). [para(18(a,1),5540(a,1,1,2)),flip(a)]. 5542 K(L(x,y / T(x,y),z),u) = L(K(x,u),T(y,x),z). [para(3523(a,1),5540(a,1,1,2))]. 5543 L(K(x,y),z,u) \ 1 != w | K(y,L(x,z / x,u)) = w. [para(5540(a,1),3872(a,1,1))]. 5544 K(L(x,y,z),y * x) = K(x,y * x). [hyper(5327,a,5541,a),flip(a)]. 5545 L(K(x,y),z * K(u,x),w) = K(L(x,z / T(x,u),w),y). [para(5176(a,1),5541(a,1,2))]. 5546 K(L(x,y,z),y * x) = K(x,x * y). [hyper(189,a,4576,a(flip),b,5544,a)]. 5547 K(L(x,y,z),y * x) != u | K(x,x * y) = u. [para(5544(a,2),4577(a,1))]. 5548 K(x,(T(y,z) * (y \ u)) \ 1) != w | K(x,u \ K(z,y)) = w. [para(4377(a,2),5319(a,1,2,1))]. 5549 R(T(K(x,y),y * z),y,z) = K(x,((y * z) \ z) \ 1). [hyper(189,a,4996,a,b,5322,a(flip)),flip(a)]. 5551 T(L(x \ 1,x,y) \ 1,x * L(x \ 1,z,u)) = ((y * x) \ y) \ 1. [para(1342(a,1),5505(a,2,2))]. 5552 K((x * y) \ 1,x) = K(y \ (x \ 1),x). [hyper(189,a,3142,a(flip),b,5528,a(flip))]. 5553 K(x / ((y * z) * x),y) = K(z \ (y \ 1),y). [hyper(189,a,4765,a,b,5552,a(flip)),flip(a)]. 5554 ((x \ (1 / y)) * x) * y = K(y \ (x \ 1),x). [hyper(189,a,4527,a,b,5552,a(flip)),flip(a)]. 5556 K(K(x,x \ 1) * y,z) = K(y,z). [hyper(20,a,4396,a(flip),b,5162,a),flip(a)]. 5560 K(x * K(y \ 1,y),z) = K(x,z). [para(2480(a,1),5556(a,1,1)),flip(a)]. 5561 K(x * ((y \ 1) \ 1),z) = K(x * y,z). [para(2501(a,1),5556(a,1,1))]. 5563 K(x \ T(y,y \ 1),z) = K(x \ y,z). [para(3454(a,1),5556(a,1,1))]. 5564 K(x \ (1 / y),z) = K(x \ (y \ 1),z). [para(4107(a,1),5556(a,1,1))]. 5565 K(x * (((x \ y) \ 1) \ 1),z) = K(y,z). [para(1998(a,1),5560(a,1,1))]. 5566 K((K(x,x \ 1) * y) \ z,u) = K(y \ z,u). [para(4120(a,2),5560(a,1,1))]. 5567 K(x \ (y * ((z \ 1) \ 1)),u) = K(x \ (y * z),u). [para(4105(a,1),5560(a,1,1)),flip(a)]. 5568 K(x * R(1 / y,z,u),w) = K(x * R(y \ 1,z,u),w). [para(3104(a,1),5561(a,1,1,2)),flip(a)]. 5569 K((T(x,x \ 1) \ y) \ 1,z) = K(y \ x,z). [hyper(189,a,5209,a,b,5563,a(flip)),flip(a)]. 5570 T(x,y) / ((1 / z) \ x) = (1 / z) * K((((1 / z) \ x) \ 1) \ (z \ 1),y). [para(5564(a,1),5441(a,2,2))]. 5571 K((x * ((y \ 1) \ 1)) \ z,u) = K((x * y) \ z,u). [para(2501(a,1),5566(a,1,1,1))]. 5572 K((x * (K(y,y \ 1) * z)) \ u,w) = K((x * z) \ u,w). [para(4117(a,1),5566(a,1,1,1))]. 5573 K((((1 / x) \ y) \ z) \ u,w) = K((((x \ 1) \ y) \ z) \ u,w). [para(4133(a,1),5566(a,1,1,1))]. 5574 K(x \ ((y \ 1) * y),z) = K(x \ 1,z). [para(17(a,1),5567(a,1,1,2)),flip(a)]. 5575 L(K(x \ y,z),y,y \ 1) = K(((y \ 1) * x) \ 1,z). [hyper(189,a,5526,a,b,5574,a(flip)),flip(a)]. 5576 (1 / x) * K(y \ (x \ 1),z) = K((y * x) \ 1,z) / x. [para(5564(a,1),5236(a,1,2))]. 5577 (((x \ y) \ 1) \ x) * ((x \ y) \ 1) = y * (x / y). [hyper(189,a,3903,a(flip),b,5272,a)]. 5578 T(x,x \ y) / (y \ x) = x * (y / x). [hyper(189,a,4954,a,b,5577,a(flip)),flip(a)]. 5579 (x * (y / x)) * (y \ x) = T(x,x \ y). [para(5578(a,1),19(a,1,1))]. 5580 T((x * K(y,x)) * K(y,x * K(y,x)),T(y,z)) = (T(y,x) * T(x,T(y,z))) / y. [hyper(76,a,5377,a(flip),b,4423,a),flip(a)]. 5581 T(x,y) * T(y * K(x,y),T(T(x,y),z)) = T(T(x,y),y) * T(y,T(T(x,y),z)). [para(3876(a,1),5377(a,1,2,1,2))]. 5582 T(x,T(y,T(x,z))) * T(y,T(x,u)) = x * T(y * K(x,y),T(x,u)). [para(5373(a,2),5377(a,2,1)),flip(a)]. 5583 (1 / ((x * y) \ x)) * T(z,y) = z * (1 \ (1 / ((x * y) \ x))). [para(16(a,1),5475(a,1,2,2))]. 5584 K((x * ((T(y,x) \ 1) * y)) \ z,u) = K(T(x,y) \ z,u). [para(4790(a,1),5572(a,1,1,1)),flip(a)]. 5585 K((x * y) \ 1,y) = K(x \ (y \ 1),y). [hyper(20,a,3143,a,b,5576,a),flip(a)]. 5586 L(K(x \ (y \ 1),y),z,u) = K(L(x * y,z,u) \ 1,y). [para(5585(a,1),4824(a,1,1))]. 5588 L(x \ 1,x,y * K(x,z)) != u | L(x \ 1,T(x,z),y) = u. [para(5143(a,2),4503(a,1))]. 5590 (x * (y / x)) / T(y,z) = K(z,y) * K(x,x \ y). [hyper(5313,a,5368,a)]. 5591 K(x,T(x * y,L(z,y,x))) = K(x,T(x * y,y * z)). [hyper(189,a,5421,a(flip),b,5356,a(flip))]. 5592 K(x,(T(y,z) * u) \ y) = K(x,u \ K(z,y)). [hyper(5548,a,5264,a),flip(a)]. 5593 K(x,(T(y,z) \ u) \ K(z,y)) = K(x,u \ y). [para(17(a,1),5592(a,1,2,1)),flip(a)]. 5594 x \ T(x * K(y \ 1,y),y) = T((T(y,x) \ 1) * y,x). [para(4635(a,1),5200(a,2,1))]. 5595 x \ T(x * K(y \ 1,y),y) = (T(y,x) \ 1) * y. [hyper(189,a,4990,a(flip),b,5594,a)]. 5596 (((x / y) * T(y,z)) * u) \ (x * u) = K(z,((x / y) * u) \ (x * u)). [para(69(a,1),5245(a,1,1,1,2,1))]. 5597 (K(x,x \ (y / z)) * (y / z)) * z = K(x,((x * z) / y) \ 1) * y. [hyper(189,a,5270,a,b,5521,a)]. 5598 (x * y) * z != x * (y * K((x \ u) \ y,w)) | K(u \ (x * y),w) = z. [para(5539(a,1),22(a,1)),flip(a)]. 5599 (1 / ((x * y) \ x)) * T(z,y) = z * (1 / ((x * y) \ x)). [para(58(a,1),5583(a,2,2))]. 5600 T(1 / ((x * y) \ x),y) = 1 / ((x * y) \ x). [hyper(260,a,5599,a),flip(a)]. 5601 T(T(1 / ((x * y) \ x),z),y) = T(1 / ((x * y) \ x),z). [hyper(20,a,173,a(flip),b,5599,a)]. 5602 T(T(x * K(x \ y,x),y),z) = L(T(x,z),x \ T(y,x),x). [para(4337(a,1),5458(a,1,1,1))]. 5603 L(T(x,y),x \ T(z,x),x) = T(L(x,x \ z,x),y). [para(4336(a,1),5602(a,1,1)),flip(a)]. 5604 L(T(x,y),x \ T(z,x),x) = L(T(x,y),x \ z,x). [hyper(189,a,43,a,b,5603,a)]. 5605 L(R(T(x,y),z,u),x \ T(w,x),x) = R(L(T(x,y),x \ w,x),z,u). [para(5604(a,1),47(a,1,1)),flip(a)]. 5606 K(x,((y / z) * u) \ (y * u)) = ((y * K(z,x)) * u) \ (y * u). [para(5140(a,1),5596(a,1,1,1)),flip(a)]. 5607 ((x * K(y,z)) * u) * K(z,((x / y) * u) \ (x * u)) = x * u. [para(5606(a,2),17(a,1,2))]. 5608 K(((x / y) * z) \ (x * z),u) = (x * z) \ ((x * K(y,u)) * z). [para(5607(a,1),3918(a,1,1)),flip(a)]. 5609 (x * y) \ ((x * K(z,u)) * y) != w | K(((x / z) * y) \ (x * y),u) = w. [para(5607(a,1),3922(a,1,1))]. 5610 R(K(x,x \ (y / z)),y / z,z) = K(x,((x * z) / y) \ 1). [hyper(590,a,5597,a)]. 5611 L(R(T(x,y),z,u),x \ T(w,x),x) = L(R(T(x,y),z,u),x \ w,x). [hyper(189,a,47,a(flip),b,5605,a)]. 5612 R(T(K(x \ y,y),y * z),y,z) = K(((y * z) \ (x * z)) \ 1,y). [hyper(189,a,4752,a(flip),b,5219,a)]. 5613 K(((x * y) \ (z * y)) \ 1,x) = K(z \ x,((x * y) \ y) \ 1). [hyper(189,a,5549,a(flip),b,5612,a(flip))]. 5614 K(x \ y,((y * z) \ z) \ 1) = K((x * z) \ (y * z),y). [hyper(5466,a,5613,a),flip(a)]. 5615 K((x * y) \ (z * y),z) = K(x \ z,y \ (z * y)). [hyper(5259,a,5614,a),flip(a)]. 5616 K((x * y) \ (z * y),z) = K(x \ z,T(z,y)). [para(35(a,2),5615(a,2,2))]. 5617 K((x / y) \ z,T(z,y)) = K(x \ (z * y),z). [para(19(a,1),5616(a,1,1,1)),flip(a)]. 5618 K(T(x,(y \ z) \ u),z \ (y * u)) = K(x,z \ (y * u)). [para(359(a,1),5424(a,2,2))]. 5619 L(x * K(y \ z,z \ y),u,w) = L(x,u,w) * K(y \ z,z \ y). [para(1992(a,1),5082(a,1,1,2))]. 5620 K(x \ y,L(y \ x,z,u)) = K(x \ y,y \ x). [hyper(4740,a,5619,a)]. 5621 K(x \ L(x,y,z),L(x,y,z) \ x) = K(x \ L(x,y,z),a(z,y,x)). [para(1704(a,2),5620(a,1,2)),flip(a)]. 5622 x / L((x \ 1) \ 1,y,z) = (L(x,y,z) \ 1) * x. [hyper(5100,a,5099,a),flip(a)]. 5623 ((L(x,y,z) \ 1) * x) \ x = L((x \ 1) \ 1,y,z). [para(5622(a,1),69(a,1,1))]. 5624 (x * y) * K(((x * y) \ (z * y)) \ 1,u) = (x * K((x \ z) \ 1,u)) * y. [para(4756(a,1),5109(a,2,1))]. 5625 x * L(y * K((x \ 1) \ y,x),z,u) = T(x * L(y,z,u),x). [para(16(a,1),5443(a,1,1,2,1)),flip(a)]. 5626 x * L(y * K(x * y,x),z,u) = T(x * L(y,z,u),x). [para(5442(a,1),5625(a,1,2,1,2))]. 5627 x * L(y * K(y * x,x),z,u) = T(x * L(y,z,u),x). [para(4617(a,2),5626(a,1,2,1,2))]. 5628 L(x,y,z) * K(u * L(x,y,z),u) = L(x * K(x * u,u),y,z). [hyper(20,a,5248,a,b,5627,a),flip(a)]. 5629 (x * (y * z)) \ ((x * y) * L(z * K(z * u,u),y,x)) = L(K(u * L(z,y,x),u),L(z,y,x),x * y). [para(5628(a,1),347(a,1,2,2))]. 5630 T(x,y) / ((1 / z) \ x) = (1 / z) * K((((z \ 1) \ x) \ 1) \ (z \ 1),y). [para(5573(a,1),5570(a,2,2))]. 5631 x * K((x \ (x \ (y * x))) \ 1,z) = T(x * K((x \ y) \ 1,z),x). [hyper(147,a,5624,a(flip),b,4942,a(flip)),flip(a)]. 5633 T(x * K((x \ y) \ 1,z),x) = x * K((x \ T(y,x)) \ 1,z). [para(35(a,2),5631(a,1,2,1,1,2)),flip(a)]. 5634 T(x * K((x \ y) \ 1,z),x) = T(y,x) * T(T(y,x) \ x,z). [hyper(189,a,4524,a,b,5633,a)]. 5635 T(x,y) * T(T(x,y) \ y,z) = T(y * K(x \ y,z),y). [para(5209(a,1),5634(a,1,1,2)),flip(a)]. 5636 x \ T(x * K(y \ x,z),x) = K(T(y,x) \ x,z). [hyper(75,a,5635,a(flip),b,5160,a(flip))]. 5637 K(T(x / y,x) \ x,z) = x \ T(x * K(y,z),x). [para(69(a,1),5636(a,1,2,1,2,1)),flip(a)]. 5638 T(x,y) / ((1 / z) \ x) = K(((((z \ 1) \ x) \ 1) * z) \ 1,y) / z. [hyper(189,a,5576,a(flip),b,5630,a)]. 5639 R((x \ (1 / y)) * x,y,z) * (y * z) = (y * z) * ((x \ ((y * z) \ z)) * x). [para(3270(a,2),4193(a,1,1))]. 5640 (x * y) * (z * (L(y \ 1,y,x) / z)) = (x * y) * (z * (((x * y) \ x) / z)). [hyper(189,a,4185,a(flip),b,4195,a(flip))]. 5641 (x * T(K(y,z),u)) * T(K(z,y),u) = R(x,T(K(y,z),u),T(K(z,y),u)). [para(4266(a,1),4276(a,1,3)),flip(a)]. 5642 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(5641(a,1),23(a,1))]. 5643 T(x * K(y,x),y * R(x,z,u)) = L(x,y,R(x * K(y,x),z,u)). [para(4426(a,1),4428(a,1,2))]. 5644 T(x * K(y,x),y * R(x,y,x)) = L(x,y,x * K(y * x,x)). [para(4812(a,1),5643(a,2,3))]. 5645 T(x * K(y,x),T(x * y,x)) = L(x,y,x * K(y * x,x)). [para(3668(a,1),5644(a,1,2))]. 5646 L(x,y,x * K(y * x,x)) = T(x * K(y,x),x * y). [hyper(189,a,5376,a(flip),b,5645,a(flip))]. 5647 K(R(x,y,z),T(T(x,u) * u,w)) = K(R(x,y,z),T(x * u,w)). [hyper(189,a,4448,a(flip),b,4862,a)]. 5648 T((x \ L(y,y \ z,y)) * x,T(z,y) / y) = (x \ T(y,z)) * x. [para(3553(a,1),4899(a,2,1,2))]. 5649 T((x \ L(y,y \ z,y)) * x,T(z,y) / y) != u | T((x \ y) * x,z) = u. [para(5648(a,2),4155(a,1))]. 5650 T(T(x * K(y * L(x,z,u),x),w),y) = R(T(x,w),y,L(x,z,u)). [para(16(a,1),5047(a,2,1,1))]. 5651 T(T(x * K(y * R(x,z,u),x),w),y) = R(T(x,w),y,R(x,z,u)). [para(16(a,1),5052(a,2,1,1))]. 5652 K(((x * y) * z) \ (y * z),R(T(x,u),y,z)) = K(R(x,y,z) \ 1,R(x,y,z)). [para(45(a,2),5289(a,1,2))]. 5653 (x * y) * ((z \ ((x * y) \ y)) * z) = (((z \ (1 / x)) * z) * x) * y. [hyper(204,a,5639,a),flip(a)]. 5654 (x * y) * ((z \ ((x * y) \ y)) * z) = K(x \ (z \ 1),z) * y. [para(5554(a,1),5653(a,2,1))]. 5655 K(x,y / (x / ((z * y) \ 1))) = y / (K(z \ (x \ 1),x) * y). [para(5654(a,1),5043(a,1,2)),flip(a)]. 5656 K(x,y / (x / ((z * y) \ 1))) != u | K(x,z \ (x \ 1)) = u. [para(5655(a,2),3910(a,1))]. 5657 K(x,(y * x) \ 1) = K(x,y \ (x \ 1)). [hyper(5656,a,4598,a),flip(a)]. 5658 (x * y) * L(z * ((y \ 1) / z),y,x) = (x * y) * (z * (((x * y) \ x) / z)). [para(5117(a,2),5640(a,1,2))]. 5659 K(((x * y) * z) \ (y * z),R(T(x,u),y,z)) = K(x \ 1,x). [hyper(189,a,3174,a(flip),b,5652,a)]. 5661 K(x \ 1,x) * ((y * z) / ((x * y) * z)) = (((y * z) / ((x * y) * z)) \ 1) \ 1. [para(5659(a,1),3024(a,1,1))]. 5662 (x * y) * (z * (((x * y) \ x) / z)) = x * (y * (z * ((y \ 1) / z))). [hyper(207,a,5658,a),flip(a)]. 5663 ((x * (y / x)) \ T(y,z)) * (x * (y / x)) = T(y,z). [para(3946(a,1),4343(a,1,1,2,1))]. 5664 T(x,y) / (z * (x / z)) = (z * (x / z)) \ T(x,y). [hyper(88,a,5663,a)]. 5665 T(x,y) / (T(x,y) / (z * (x / z))) = z * (x / z). [para(5664(a,2),67(a,1,2))]. 5666 K(x,R(y,z,u) \ 1) * (z * u) = (K(x,y \ 1) * z) * u. [para(4643(a,1),4917(a,1,1))]. 5667 R(K(x,y \ 1),z,u) = K(x,R(y,z,u) \ 1). [hyper(21,a,110,a,b,5666,a),flip(a)]. 5668 K(x,R(y \ 1,z,u) \ 1) = R(K(x,y),z,u). [para(3081(a,1),5667(a,1,1)),flip(a)]. 5670 K(x,R(y / z,u,w) \ 1) = R(K(x,z / y),u,w). [para(4773(a,1),5667(a,1,1)),flip(a)]. 5671 R(K(x,y \ (x \ 1)),z,u) = K(x,R(y * x,z,u) \ 1). [para(5657(a,1),5667(a,1,1))]. 5672 R(K(x,y),z,u) \ w = R(K(y,x),z,u) * w. [para(5668(a,1),4822(a,1,1)),flip(a)]. 5673 (x * y) / ((K(z,u) * x) * y) = R(K(u,z),x,y). [hyper(460,a,5672,a)]. 5674 (x * y) / (((z \ x) * z) * y) = R(K(z,z \ x),x,y). [para(4291(a,1),5673(a,1,2,1))]. 5675 (x * y) / ((z * (x / z)) * y) = R(K(z \ x,z),x,y). [para(4314(a,1),5673(a,1,2,1))]. 5676 ((x * y) * z) / ((x * T(y,T(u,x))) * z) = R(K(u,y),x * y,z). [para(5460(a,1),5673(a,1,2,1))]. 5677 R(K(x,y / z),y,u) = K(x,(y * u) / (z * u)). [hyper(4782,a,5670,a),flip(a)]. 5678 R(K(x,(y / z) / u),y / z,z) = K(x,y / (u * z)). [para(19(a,1),5677(a,2,2,1))]. 5679 R(K(x,y / (z / u)),y,u) = K(x,(y * u) / z). [para(19(a,1),5677(a,2,2,2))]. 5680 K(x,(y * z) / ((u \ y) * z)) = R(K(x,u),y,z). [para(67(a,1),5677(a,1,1,2)),flip(a)]. 5681 R(K(x,(y / z) \ x),x,z) = K(x,(x * z) / y). [para(4596(a,1),5679(a,1,1))]. 5682 K(x,R(y,y \ z,u)) = R(K(x,y),z,u). [para(108(a,2),5680(a,1,2))]. 5683 R(K(x,y),y * z,u) = K(x,R(y,z,u)). [para(16(a,1),5682(a,1,2,2)),flip(a)]. 5684 R(K(x,R(y,z,u)),(y * z) * u,w) = K(x,R(R(y,z,u),z * u,w)). [para(133(a,1),5682(a,1,2,2)),flip(a)]. 5685 K(R(x,y * z,u) \ 1,y) = K(x \ 1,R(y,z,u)). [hyper(4937,a,5683,a)]. 5686 R(T(K(x,y),z),y * u,w) = T(K(x,R(y,u,w)),z). [para(5683(a,1),45(a,2,1))]. 5687 K(x,(x * y) / z) != u | K(x,(z / y) \ x) = u. [para(5681(a,1),3747(a,1))]. 5688 R(T(K(x,y),z),y * u,w) = K(x,T(R(y,u,w),z)). [hyper(189,a,5334,a,b,5686,a)]. 5689 R(T(K(x,y),z),y * u,w) = K(x,R(T(y,z),u,w)). [para(45(a,2),5688(a,2,2))]. 5690 R(K(x,T(y,z)),y * u,w) = K(x,R(T(y,z),u,w)). [para(5334(a,2),5689(a,1,1))]. 5691 K(x,R(T(y,z),y \ u,w)) = R(K(x,T(y,z)),u,w). [para(17(a,1),5690(a,1,2)),flip(a)]. 5692 R(K(x,y),(y * K(z,y)) * u,w) = K(x,R(T(y * K(z,y),z),u,w)). [para(4374(a,1),5690(a,1,1,2))]. 5693 R(K(x,x \ (y / z)),y / z,z) = y / (((x \ (y / z)) * x) * z). [hyper(189,a,185,a(flip),b,5674,a(flip))]. 5694 x / (((y \ (x / z)) * y) * z) = K(y,((y * z) / x) \ 1). [hyper(189,a,5610,a(flip),b,5693,a(flip))]. 5695 x / (y * ((z \ (y \ x)) * z)) = K(z,((z * y) / x) \ 1). [para(4183(a,1),5694(a,1,2))]. 5696 x / (y * ((z \ (y \ x)) * z)) = K(z,x / (z * y)). [hyper(189,a,4773,a(flip),b,5695,a)]. 5697 K(x,y / (x / (z \ 1))) = K(x,y / (x * z)). [hyper(189,a,5043,a(flip),b,5696,a(flip)),flip(a)]. 5698 x / (((y \ z) * y) * (z \ x)) = K(y,x / (y * (z \ x))). [para(4191(a,1),5696(a,1,2))]. 5699 K(x,y / (x * (z * y))) = K(x,z \ (x \ 1)). [hyper(5656,a,5697,a),flip(a)]. 5700 K(x,y / (x * (z * y))) != u | K(x,z \ (x \ 1)) = u. [para(5697(a,1),5656(a,1))]. 5701 K(x,(y * z) / (x * ((u * y) * z))) != w | K(x,R(u,y,z) \ (x \ 1)) = w. [para(110(a,1),5700(a,1,2,2,2))]. 5702 (x * y) / (((z \ R(R(1 / u,u,x),u * x,y)) * z) * ((u * x) * y)) = K(z,(x * y) / (z * (R(R(1 / u,u,x),u * x,y) \ (x * y)))). [para(452(a,1),5698(a,1,2,2))]. 5703 R(K(x,y),y * (K(z,y) * u),w) = K(x,R(T(y * K(z,y),z),u,w)). [para(3828(a,1),5692(a,1,2))]. 5704 K(x,R(T(y * K(z,y),z),u,w)) = K(x,R(y,K(z,y) * u,w)). [hyper(189,a,5683,a(flip),b,5703,a(flip))]. 5705 K(x,R(y,K(z,y) * u,w)) = K(x,R(y,u,w)). [para(4374(a,1),5704(a,1,2,1)),flip(a)]. 5706 K(x,R(y,K(y,z) * u,w)) = K(x,R(y,u,w)). [para(3887(a,1),5705(a,1,2,2)),flip(a)]. 5707 K(R(x,K(x,y) * z,u),w) = (v5 * K(w,R(x,z,u))) \ v5. [para(5706(a,1),3918(a,1,1,2)),flip(a)]. 5708 K(R(x,K(x,y) * z,u),w) != v5 | K(R(x,z,u),w) = v5. [para(5707(a,2),3922(a,1))]. 5709 T(x,T(y * K(x,y),T(x,z))) * T(y * K(x,y),T(x,u)) = x * ((T(x,y) * T(y,T(x,u))) / x). [para(5580(a,1),5582(a,2,2))]. 5710 T(T(x,y),y) * T(y,T(T(x,y),z)) = T(x,y) * T(y * K(x,y),T(x,z)). [para(5459(a,1),5581(a,1,2)),flip(a)]. 5711 T(x,y) * T(y * K(x,y),T(x,z)) = T(T(x,y),y) * T(y,T(x,z)). [para(3531(a,1),5710(a,1,2)),flip(a)]. 5712 (T(T(x,y),y) * T(y,T(x,z))) / K(x,T(y * K(x,y),T(x,z))) = T(x,y) * T(y,T(x,z)). [para(5711(a,1),5185(a,1,1))]. 5714 (x \ R(x,y,z)) * K((R(x,y,z) \ 1) \ 1,u) = x \ R(T(x,u),y,z). [para(2962(a,1),4914(a,1,2,1,1))]. 5715 (x \ R(x,y,z)) * K(R(x,y,z),u) = x \ R(T(x,u),y,z). [para(2648(a,1),5714(a,1,2))]. 5716 (x * y) * L(z \ T(z * (y \ (z \ 1)),z),y,x) = (x * K(y \ 1,z)) * (z \ 1). [para(1354(a,2),5053(a,1,2))]. 5717 K((((x \ y) \ 1) * (x \ 1)) \ 1,z) / (x \ T(y,z)) = 1 / (x \ y). [para(5575(a,1),5502(a,1,1))]. 5718 x * (y * (z \ T(z * (y \ (z \ 1)),z))) = (x * K(y \ 1,z)) * (z \ 1). [hyper(207,a,5716,a)]. 5719 (x * K(y \ 1,z)) * (z \ 1) = x * (K(y \ 1,z) * (z \ 1)). [para(4840(a,1),5718(a,1,2)),flip(a)]. 5720 (x * K(y \ 1,z)) * (z \ 1) = x * (T(z,y \ 1) \ 1). [para(4558(a,1),5719(a,2,2))]. 5721 (x * K(y,z)) * (z \ 1) = x * (T(z,(1 / y) \ 1) \ 1). [para(69(a,1),5720(a,1,1,2,1))]. 5722 (x * K(y,z)) * (z \ 1) = x * (T(z,y) \ 1). [para(69(a,1),5721(a,2,2,1,2))]. 5723 x \ T(x * (y \ 1),y) = T(y,y \ x) \ 1. [hyper(75,a,684,a(flip),b,5722,a(flip))]. 5724 (x * (y \ 1)) \ (x * (T(y,z) \ 1)) = K(z,y). [hyper(75,a,5722,a(flip),b,5033,a(flip))]. 5728 x \ T(x * (y \ 1),y) = ((y \ x) \ x) \ 1. [hyper(189,a,523,a(flip),b,5723,a)]. 5730 x * K(y,z) != u * (T(z,y) \ 1) | u * (z \ 1) = x. [para(5724(a,1),87(a,1,2)),flip(b)]. 5731 T((x \ 1) * y,x) = (((x \ y) \ y) \ 1) * y. [para(5728(a,1),4160(a,1,1)),flip(a)]. 5732 (((x \ 1) * y) \ y) \ y = (((x \ y) \ y) \ 1) * y. [hyper(189,a,3759,a(flip),b,5731,a(flip)),flip(a)]. 5733 (((L(x,y,z) \ 1) * x) \ x) \ x = (L(x,y,z) \ 1) * x. [para(5098(a,1),5732(a,2,1,1))]. 5734 (x * (T(y,z) \ 1)) * K(y,z) = x * (y \ 1). [hyper(5730,a,3919,a),flip(a)]. 5735 (x * (y \ 1)) \ (x * (T(y,z) \ 1)) != u | K(z,y) = u. [para(5734(a,1),3922(a,1,1))]. 5736 L(K(x,y),y \ 1,z) != u | K(x,y) = u. [para(4535(a,1),5735(a,1))]. 5737 L((x \ 1) \ 1,y,z) \ x = (L(x,y,z) \ 1) * x. [para(5623(a,1),5733(a,1,1))]. 5738 x / ((L(x,y,z) \ 1) * x) = L((x \ 1) \ 1,y,z). [para(5737(a,1),67(a,1,2))]. 5739 (L((x \ 1) \ 1,y,z) \ ((x \ 1) \ 1)) * (x \ 1) = ((L(x,y,z) \ 1) * x) * (1 / x). [para(5737(a,1),3452(a,2,1))]. 5740 T(x,(K(y \ 1,y) * z) * ((u \ 1) \ w)) = T(x,z * ((K(y,y \ 1) / u) \ w)). [para(4138(a,1),4136(a,2,2))]. 5741 L(L(x,y,T(z,u)),T(z,u) * y,K(u,z)) = (z * y) \ (z * (y * x)). [para(4383(a,1),4563(a,2,2))]. 5742 L(L(x,y,T(z,u)),T(z,u) * y,K(u,z)) != w | L(x,y,z) = w. [para(5741(a,2),355(a,1))]. 5744 R(K(R(x,y,z),u),R(x,y,z),y * z) = ((T(x,u) * y) * z) / ((x * y) * z). [para(110(a,1),4811(a,1,1)),flip(a)]. 5745 ((T(x,y) * z) * u) / ((x * z) * u) = K(R(x,z,u),y). [hyper(3747,a,5744,a),flip(a)]. 5746 R(K(x,y),x * z,u) = K(R(x,z,u),y). [hyper(4572,a,5745,a)]. 5748 K(R(x,y,z),x \ 1) = K(x,x \ 1). [hyper(189,a,3236,a(flip),b,5746,a(flip))]. 5749 K(R(x,x \ y,z),u) = R(K(x,u),y,z). [para(17(a,1),5746(a,1,2)),flip(a)]. 5750 K(R(x,K(x,y) * (x \ z),u),w) = R(K(x,w),K(x,y) * z,u). [para(4552(a,1),5746(a,1,2)),flip(a)]. 5751 R(x,y,z) * (1 / R(x,y,z)) = K(x,x \ 1). [hyper(189,a,3166,a,b,5748,a(flip)),flip(a)]. 5752 K(R(x,x \ 1,y),z) = K(x,z). [hyper(189,a,272,a(flip),b,5749,a)]. 5753 K((x * y) / ((z \ x) * y),u) = R(K(z,u),x,y). [para(108(a,1),5749(a,1,1))]. 5755 (1 / x) * (R(x,y,z) \ x) = 1 / R(x,y,z). [hyper(20,a,3240,a,b,5751,a),flip(a)]. 5756 (1 / x) \ (1 / R(x,y,z)) = R(x,y,z) \ x. [hyper(80,a,5755,a)]. 5757 (x \ R(x,y,z)) \ 1 = R(x,y,z) \ x. [hyper(189,a,4142,a(flip),b,5756,a(flip)),flip(a)]. 5758 R(K(x / y,z),x,u) = K((x * u) / (y * u),z). [para(69(a,1),5753(a,1,1,2,1)),flip(a)]. 5759 R(K(x / y,T(z,x * u)),x,u) = K((y * u) \ (x * u),z). [hyper(189,a,5340,a(flip),b,5758,a)]. 5760 R(K((x / y) / z,u),x / y,y) = K(x / (z * y),u). [para(19(a,1),5758(a,2,1,1))]. 5761 R(K(x / (y / z),u),x,z) = K((x * z) / y,u). [para(19(a,1),5758(a,2,1,2))]. 5762 K((x * y) / (z * y),T(u,x)) = R(K(z \ x,u),x,y). [para(5340(a,1),5758(a,1,1)),flip(a)]. 5763 K((x * y) / z,x) = K(x / (z / y),x). [hyper(189,a,3831,a(flip),b,5761,a(flip))]. 5764 K((x * y) / z,x) != u | K((z / y) \ x,x) = u. [para(5763(a,2),5470(a,1))]. 5765 R(K(x \ (y / z),y / z),y / z,z) = K(y / (x * z),y / z). [para(4764(a,1),5760(a,1,1))]. 5766 R(K(x,y),K(x,z) * u,w) = K(R(x,x \ u,w),y). [hyper(5708,a,5750,a),flip(a)]. 5767 R(K(x,y),K(x,z) * u,w) = R(K(x,y),u,w). [hyper(189,a,5749,a(flip),b,5766,a)]. 5768 (x * y) / L(y,x,y * K(x * y,y)) = (R(y * K(x,y),x,y) * x) / y. [para(4405(a,1),4813(a,1,1))]. 5769 (x / L(y,x,y * K(x * y,y))) * y = (R(y * K(x,y),x,y) * x) / y. [hyper(1265,a,5768,a)]. 5770 (x / L(y,x,y * K(x * y,y))) * y = (x * R(y,x,y)) / y. [para(4426(a,1),5769(a,2,1))]. 5771 (x / L(y,x,y * K(x * y,y))) * y = T(y * x,y) / y. [para(3668(a,1),5770(a,2,1))]. 5772 (x / T(y * K(x,y),y * x)) * y = T(y * x,y) / y. [para(5646(a,1),5771(a,1,1,2))]. 5773 (x / L(y,x,y)) * y = T(y * x,y) / y. [para(4485(a,1),5772(a,1,1,2))]. 5774 (T(x * y,x) / x) \ (y * x) = L(x,y,x). [para(5773(a,1),1249(a,1,1))]. 5775 T((((x / y) \ 1) \ y) * ((x / y) \ 1),z) = (x / y) \ T(x * K(y,z),(x / y) \ 1). [hyper(189,a,4153,a,b,5175,a),flip(a)]. 5776 K(x,y) * ((((z * x) \ z) \ K(x,y)) \ u) = (((z * x) \ z) \ 1) \ u. [para(5224(a,1),5508(a,1,1))]. 5779 L((x \ 1) \ 1,y,z) \ ((x \ 1) \ 1) = L(x,y,z) \ x. [hyper(21,a,4930,a(flip),b,5739,a)]. 5780 (x / y) \ T(x * K(y,z),(x / y) \ 1) = T(x * (y / x),z). [para(3386(a,1),5775(a,1,1)),flip(a)]. 5781 K(x * K(y,z),(x / y) \ 1) = T(x * (y / x),z) / T(y,z). [para(5780(a,1),5191(a,1,1)),flip(a)]. 5782 K((x / y) \ 1,x * K(y,z)) = T(y,z) / T(x * (y / x),z). [para(5780(a,1),5192(a,1,2)),flip(a)]. 5783 L(x,y * K(z \ 1,z),u) = (u * y) \ (u * (y * x)). [para(4109(a,1),4139(a,1,2)),flip(a)]. 5784 L(x,y * K(z \ 1,z),u) = L(x,y,u). [hyper(189,a,31,a,b,5783,a)]. 5786 L(x,(y \ 1) \ 1,z) = L(x,y,z). [para(1142(a,1),5784(a,1,2)),flip(a)]. 5787 L(x,T(y,y \ 1),z) = L(x,y,z). [para(1143(a,1),5784(a,1,2)),flip(a)]. 5788 L(x,1 / y,z) = L(x,y \ 1,z). [para(1198(a,1),5784(a,1,2)),flip(a)]. 5789 L(K(x,y \ 1),y,z) = K(x,y \ 1). [hyper(5736,a,5786,a),flip(a)]. 5792 (x * T(y,y \ 1)) * L(z,y,x) = x * (T(y,y \ 1) * z). [para(5787(a,1),102(a,1,2))]. 5793 (x * y) * K(z,y \ 1) = x * (y * K(z,y \ 1)). [para(5789(a,1),102(a,1,2))]. 5794 R(x,y,K(z,y \ 1)) = x. [hyper(376,a,5793,a)]. 5795 R(x,y \ z,K(u,z \ y)) = x. [para(5258(a,1),5794(a,1,3))]. 5796 x \ (y * K(z,y \ x)) = (x \ y) * K(z,y \ x). [para(5795(a,1),370(a,1,1))]. 5797 T(x \ y,z) * ((y \ x) * K(z,x \ y)) = T((x \ y) * (y \ x),z). [para(5796(a,1),5108(a,1,2))]. 5798 (x * T(y,y \ 1)) * z != x * (T(y,y \ 1) * u) | L(u,y,x) = z. [para(5792(a,1),22(a,1)),flip(a)]. 5799 T((x \ y) * (y \ x),z) = (x \ y) * (y \ x). [hyper(189,a,5510,a(flip),b,5797,a(flip))]. 5801 T(x,(y \ z) * (z \ y)) = x. [hyper(38,a,5799,a)]. 5804 T(x,y * ((z * y) \ z)) = x. [para(16(a,1),5801(a,1,2,1))]. 5806 x / (y * ((z * y) \ z)) = (y * ((z * y) \ z)) \ x. [hyper(307,a,5804,a),flip(a)]. 5808 T(x * ((y * x) \ y),z) = x * ((y * x) \ y). [hyper(38,a,5804,a)]. 5810 T(x * L(x \ 1,x,y),z) = x * ((y * x) \ y). [para(140(a,2),5808(a,1,1,2))]. 5811 T(x,y) * K(R(x,z,u) * y,T(x,y)) = R(x,y,R(T(x,y),z,u)). [hyper(650,a,4494,a),flip(a)]. 5812 K((((x * y) * z) \ (x * z)) \ 1,x) = ((x * y) * z) \ ((y * x) * z). [para(505(a,1),4751(a,1,2)),flip(a)]. 5813 ((x \ y) \ y) \ R((x \ y) \ y,z,u) = x \ (y \ ((R(x,z,u) * (x \ y)) * x)). [hyper(4892,a,5105,a)]. 5814 ((x * y) * z) / ((x * T(x \ (x * y),u)) * z) = K(u,R(y * K(x,y),x,z)). [para(1117(a,1),4919(a,1,2))]. 5815 ((x * y) * z) / ((x * T(y,u)) * z) = K(u,R(y * K(x,y),x,z)). [para(16(a,1),5814(a,1,2,1,2,1))]. 5816 K(x,y / (z * (x / ((z \ 1) \ 1)))) = K(x,x \ y). [hyper(189,a,5123,a(flip),b,5111,a(flip))]. 5818 (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(927(a,1),3728(a,1,1))]. 5819 (R(x,y,z) * (u * x)) \ ((R(x,y,z) * u) * x) = a(x,T(u,x),R(T(x,u),y,z)). [para(935(a,1),5818(a,1,2))]. 5820 a(x,T(y,x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(553,a,5819,a),flip(a)]. 5821 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(189,a,4009,a,b,5820,a(flip)),flip(a)]. 5822 a(T(x,y),T(T(y,x),x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [para(3521(a,1),5821(a,1,1))]. 5823 T(x * (y * K(z,u)),L(K(u,z),y * K(z,u),x)) = L(K(u,z),y / K(u,z),x) \ (x * y). [para(3890(a,1),3925(a,1,2,2))]. 5824 (K(x,y) * (K(x,z) * u)) / (K(x,y) * u) = K((1 / x) \ 1,z). [para(4839(a,1),5021(a,1,1,2))]. 5825 (K(x,y) * (K(x,z) * u)) / (K(x,y) * u) = K(x,z). [hyper(189,a,1216,a(flip),b,5824,a)]. 5827 K(x,y) * (K(x,z) * u) = K(x,z) * (K(x,y) * u). [para(5825(a,1),19(a,1,1))]. 5828 K(x,y) * (K(y,z) * (K(y,x) * u)) = K(y,z) * u. [hyper(3907,a,5827,a)]. 5829 K(x,y) * (K(x,z) * T(u,K(x,y))) = K(x,z) * (u * K(x,y)). [para(113(a,1),5827(a,1,2)),flip(a)]. 5830 K(x,y) * (K(z,x) * u) = K(z,x) * (K(x,y) * u). [para(3887(a,1),5828(a,1,2,2)),flip(a)]. 5831 (T(T(x,y),y) * T(y,T(x,z))) / K(x,y * K(x,y)) = T(x,y) * T(y,T(x,z)). [para(5341(a,1),5712(a,1,2))]. 5832 (T(T(x,y),y) * T(y,T(x,z))) / K(x,y) = T(x,y) * T(y,T(x,z)). [para(4429(a,1),5831(a,1,2))]. 5834 L((x \ 1) \ y,x \ 1,x * ((1 / x) * (x * z))) = ((x * z) / x) \ (T(T(x,z) * z,x) * y). [para(4206(a,1),4699(a,1,3))]. 5835 R(x,K(y,z),L(L(z,u,w),K(y,z),x)) = x. [hyper(189,a,18,a(flip),b,5300,a)]. 5837 R(x,K(y,z),L(z,u,w)) = x. [para(5295(a,1),5835(a,1,3))]. 5839 R(x,K(y,z),L(T(z,u),w,v5)) = x. [para(5396(a,1),5837(a,1,2))]. 5840 x / (K(y,z) * L(T(z,u),w,v5)) = (x / L(T(z,u),w,v5)) * K(z,y). [hyper(189,a,3924,a(flip),b,5839,a(flip)),flip(a)]. 5841 (L(x \ 1,y,z) \ (x \ 1)) * T(1 / (1 / x),x \ 1) = L(x \ 1,y,z) \ K(x \ 1,x). [hyper(189,a,4111,a(flip),b,5009,a)]. 5842 (L(x \ 1,y,z) \ (x \ 1)) * T(1 / (1 / x),x \ 1) = (x \ 1) * (L(x \ 1,y,z) \ x). [hyper(189,a,970,a(flip),b,5841,a)]. 5843 (L(x \ 1,y,z) \ (x \ 1)) * x = (x \ 1) * (L(x \ 1,y,z) \ x). [para(952(a,1),5842(a,1,2))]. 5844 (L(x \ 1,y,z) \ (x \ 1)) \ (L(1 / x,y,z) \ 1) = x. [hyper(75,a,5086,a(flip),b,5843,a)]. 5845 T(R(x,y,x),z) * (T(x,y) \ (x * y)) = T(x,y) \ ((T(x,z) * y) * T(x,y)). [para(4475(a,1),5020(a,1,1,1))]. 5846 R(T(x,y),z,x) * (T(x,z) \ (x * z)) = T(x,z) \ ((T(x,y) * z) * T(x,z)). [para(45(a,2),5845(a,1,1))]. 5847 T(x,y) \ ((T(x,z) * y) * T(x,y)) = R(T(x,z),y,x) * T(y,x). [para(3528(a,1),5846(a,1,2)),flip(a)]. 5848 R(T(x,y),z,x) * T(z,x) = T(T(x,y) * z,T(x,z)). [hyper(238,a,5847,a),flip(a)]. 5849 T(x,y) * T(y * K(x,y),T(x,z)) = x * ((T(x,y) * T(y,T(x,z))) / x). [para(4431(a,1),5709(a,1,1,2))]. 5850 T(T(x,y),y) * T(y,T(x,z)) = x * ((T(x,y) * T(y,T(x,z))) / x). [hyper(189,a,5711,a(flip),b,5849,a(flip)),flip(a)]. 5851 (x * ((1 / (y * x)) * y)) \ ((1 / (y * x)) * y) = x \ 1. [hyper(189,a,1857,a(flip),b,4882,a(flip))]. 5853 (L(x,y,z) * ((1 / x) * (L(x,y,z) \ x))) \ ((1 / ((L(x,y,z) \ x) * L(x,y,z))) * (L(x,y,z) \ x)) = L(x,y,z) \ 1. [para(5097(a,1),5851(a,1,1,2,1,2))]. 5854 T(x,y) \ T(T(x,y) * (K(y,x) * K(z,z \ x)),u) = T(z * (x / z),u) / T(T(x,y),z * (x / z)). [para(5590(a,1),4188(a,1,2,1,2))]. 5855 L(K(x * L(y,z,u),x),L(y,z,u),u * z) = (u * (z * y)) \ (u * (z * (y * K(y * x,x)))). [para(102(a,1),5629(a,1,2)),flip(a)]. 5856 L(L(K(x * y,y),x,z),z * x,u) = L(K(y * L(x,z,u),y),L(x,z,u),u * z). [hyper(189,a,348,a(flip),b,5855,a),flip(a)]. 5857 T(x * (y / x),z) / T(T(y,u),x * (y / x)) = T(y,u) \ T(x * (y / x),z). [para(4583(a,1),5854(a,1,2,1)),flip(a)]. 5858 T(x * (y / x),z) / T(y,u) = T(y,u) \ T(x * (y / x),z). [para(3781(a,1),5857(a,1,2))]. 5860 K(x * K(y,z),(x / y) \ 1) = T(y,z) \ T(x * (y / x),z). [hyper(189,a,5781,a,b,5858,a(flip)),flip(a)]. 5862 K(x * K(y,z),(x / y) \ 1) = K(x,x \ T(y,z)). [hyper(189,a,4178,a(flip),b,5860,a)]. 5863 T(R(x,y,z) * K(u * R((1 / x) \ 1,y,z),R(x,y,z)),u) = R(R(x,y,z),u,L(R(x,y,z),x \ 1,x)). [para(5568(a,1),5049(a,1,1,2))]. 5864 (x / (y * K(z,y))) * R(y * K(z,y),z,L(y,u,w)) = (x * K(z * L(y,u,w),y)) * K(y,z). [hyper(189,a,5286,a(flip),b,5051,a)]. 5865 T(R(x,y,z) * K(u * R(x,y,z),R(x,y,z)),u) = R(R(x,y,z),u,L(R(x,y,z),x \ 1,x)). [para(69(a,1),5863(a,1,1,2,1,2,1))]. 5866 L(x,((y \ 1) \ y) \ y,z / T(y \ 1,(y \ 1) \ y)) = z \ ((z / (1 / y)) * ((((y \ 1) \ y) \ y) * x)). [para(123(a,1),4623(a,2,2,1,2,1))]. 5868 L(x,((y \ 1) \ y) \ y,z / T(y \ 1,(y \ 1) \ y)) = z \ ((z / (1 / y)) * (((y * y) \ y) * x)). [para(489(a,1),5866(a,2,2,2,1,1))]. 5869 L(x,((y \ 1) \ y) \ y,z / T(y \ 1,(y \ 1) \ y)) = z \ ((z / (1 / y)) * ((1 / y) * x)). [para(1888(a,1),5868(a,2,2,2,1))]. 5870 L(x,((y \ 1) \ y) \ y,z / T(y \ 1,(y \ 1) \ y)) = z \ (y * ((y \ z) * x)). [para(473(a,1),5869(a,2,2))]. 5871 L(x,((y \ 1) \ y) \ y,z / T(y \ 1,(y \ 1) \ y)) = L(x,y \ z,y). [hyper(189,a,103,a(flip),b,5870,a)]. 5872 L(x,(y * y) \ y,z / T(y \ 1,(y \ 1) \ y)) = L(x,y \ z,y). [para(489(a,1),5871(a,1,2,1))]. 5873 L(x,1 / y,z / T(y \ 1,(y \ 1) \ y)) = L(x,y \ z,y). [para(1888(a,1),5872(a,1,2))]. 5874 L(x,1 / y,z / T(y \ 1,y * y)) = L(x,y \ z,y). [para(489(a,1),5873(a,1,3,2,2))]. 5875 L(x,1 / y,z / (K(y,y) / y)) = L(x,y \ z,y). [para(4602(a,1),5874(a,1,3,2))]. 5876 L(x,1 / y,z / (1 / y)) = L(x,y \ z,y). [para(123(a,1),5875(a,1,3,2,1))]. 5878 x * ((T(y,(z \ x) \ u) * (x \ (z * u))) / T(y,(z \ x) \ u)) = z * (u * K(y,(u \ (z \ x)) \ 1)). [para(4858(a,1),4663(a,2,2))]. 5879 x * ((x \ (y * z)) * K(T(u,(y \ x) \ z),x \ (y * z))) = y * (z * K(u,(z \ (y \ x)) \ 1)). [hyper(189,a,4479,a(flip),b,5878,a(flip)),flip(a)]. 5880 x * ((x \ (y * z)) * K(u,x \ (y * z))) = y * (z * K(u,(z \ (y \ x)) \ 1)). [para(5618(a,1),5879(a,1,2,2))]. 5881 (x * y) * K(z,((x * y) \ u) \ 1) = x * (y * K(z,(y \ (x \ u)) \ 1)). [hyper(189,a,4858,a(flip),b,5880,a(flip)),flip(a)]. 5882 L(K(x,(y \ (z \ u)) \ 1),y,z) = K(x,((z * y) \ u) \ 1). [hyper(346,a,5881,a)]. 5883 L(K(x,(y \ z) \ 1),y,u) = K(x,((u * y) \ (u * z)) \ 1). [para(16(a,1),5882(a,1,1,2,1,2))]. 5884 K(x,((y * z) \ (y * (z * u))) \ 1) = L(K(x,u \ 1),z,y). [para(16(a,1),5883(a,1,1,2,1)),flip(a)]. 5885 L(K(x,y \ 1),z,u) = K(x,L(y,z,u) \ 1). [para(31(a,2),5884(a,1,2,1)),flip(a)]. 5886 K(x,L(1 / y,z,u) \ 1) = L(K(x,y),z,u). [para(69(a,1),5885(a,1,1,2)),flip(a)]. 5887 (x * y) * K(z,L(u,y,x) \ 1) = x * (y * K(z,u \ 1)). [para(5885(a,1),102(a,1,2))]. 5888 K(x,L(y \ 1,z,u) \ 1) = L(K(x,y),z,u). [para(3081(a,1),5885(a,1,1)),flip(a)]. 5890 L(K(x,y),z,u) \ 1 = L(K(y,x),z,u). [hyper(189,a,4833,a(flip),b,5888,a(flip)),flip(a)]. 5891 K(x,L(y,z / y,u)) = L(K(x,y),z,u). [hyper(5543,a,5890,a)]. 5892 1 / L(K(x,y),z,u) = L(K(y,x),z,u). [hyper(4284,a,5890,a)]. 5893 (x * L(K(y,z),u,w)) \ x = L(K(z,y),u,w). [hyper(189,a,4960,a,b,5890,a(flip)),flip(a)]. 5894 1 / L(K(x,y),z,u) != w | L(K(y,x),z,u) = w. [para(5890(a,1),246(a,1,2)),flip(b)]. 5895 L(K(x,y),z,u) \ w = L(K(y,x),z,u) * w. [para(5890(a,1),4946(a,1,1))]. 5896 L(K(x,y),x,z) = K(y,x) \ 1. [para(5302(a,1),5890(a,1,1)),flip(a)]. 5897 L(K(x,y),x,z) = K(x,y). [hyper(189,a,3871,a(flip),b,5896,a)]. 5898 L(K(x,y),x,z) != u | K(x,y) = u. [para(5896(a,2),3872(a,1))]. 5899 (x * y) * T(K(y,z),u) = x * (y * T(K(y,z),u)). [para(5897(a,1),350(a,1,2,1))]. 5900 (1 / x) \ L(K(x,y),z,u) = x * L(K(x,y),z,u). [para(5897(a,1),403(a,1,2,1))]. 5901 R(R(x,y,z),y * z,L(K(z,u),z,x * y)) = ((x * y) * (z * K(z,u))) / ((y * z) * K(z,u)). [para(5897(a,1),943(a,1,2,2)),flip(a)]. 5904 L(K(x,y),z * y,u) = K(x,L(y,z,u)). [para(18(a,1),5891(a,1,2,2)),flip(a)]. 5905 L(K(x,y \ z),z,u) = K(x,L(y \ z,y,u)). [para(67(a,1),5891(a,1,2,2)),flip(a)]. 5906 L(K(x,y),z,u) \ 1 != w | L(K(y,x),z,u) = w. [para(5892(a,1),236(a,1,1)),flip(b)]. 5907 L(L(K(x,y),z * y,u),y,w) = K(x,L(y,z,u)). [hyper(189,a,5309,a,b,5904,a(flip)),flip(a)]. 5908 x / L(K(y,z),u,w) != v5 | x * L(K(z,y),u,w) = v5. [para(5893(a,1),246(a,1,2)),flip(b)]. 5909 (x * (y * K(z,u))) \ (x * y) = L(K(u,z),y,x). [para(102(a,1),5893(a,1,1))]. 5910 L(K(x,y),z,u) * (L(K(y,x),z,u) * w) = w. [hyper(237,a,5895,a)]. 5911 L(K(x,y),z,u) \ K(x,w) = K(x,w) * L(K(y,x),z,u). [hyper(189,a,1963,a(flip),b,5895,a)]. 5912 K(x,L(y \ x,y,z)) = K(x,y \ x). [hyper(5898,a,5905,a),flip(a)]. 5913 L(K(x,y \ z),z,u) = K(x,(u * y) \ (u * z)). [para(104(a,1),5905(a,2,2))]. 5914 L(K(x,y \ (z \ u)),z \ u,z) = K(x,(z * y) \ u). [para(183(a,1),5905(a,2,2))]. 5915 L(K(x,(y \ z) \ u),u,y) = K(x,z \ (y * u)). [para(359(a,1),5905(a,2,2))]. 5916 K(x,(y \ z) \ x) = K(x,z \ (y * x)). [para(359(a,1),5912(a,1,2)),flip(a)]. 5917 K(x,L((y \ z) \ x,z / y,y)) = K(x,(y \ z) \ x). [para(4005(a,1),5912(a,1,2))]. 5918 L(K(x,y),z,u) \ w != v5 | L(K(y,x),z,u) * w = v5. [para(5910(a,1),237(a,1,2)),flip(b)]. 5919 L(K(x,L(y,z,u)),y,w) = K(x,L(y,z,u)). [para(5904(a,1),5907(a,1,1))]. 5920 K((x \ y) \ z,L(z,u,w)) = K(y \ (x * z),L(z,u,w)). [hyper(189,a,5527,a(flip),b,5919,a(flip))]. 5921 (x * (y * K(z,u))) * L(K(u,z),y,x) = x * y. [para(5909(a,1),17(a,1,2))]. 5923 (x * (y \ T(y * z,y))) \ (x * z) = L(K(y,y * z),z,x). [para(5198(a,2),5909(a,1,1,2))]. 5924 (x * (K(y,z) * u)) \ (x * u) = L(K(z,T(y,u)),u,x). [para(5370(a,1),5909(a,1,1,2))]. 5925 K(x,(y * (z \ u)) \ (y * u)) = L(K(x,T(z,u)),u,y). [para(5333(a,1),5913(a,1,1)),flip(a)]. 5926 (x * y) * K(z,u \ (x * y)) = x * (y * K(z,(x \ u) \ y)). [para(5915(a,1),102(a,1,2))]. 5927 K(x,y \ (z * x)) != u | K(x,(z \ y) \ x) = u. [para(5915(a,1),5898(a,1))]. 5928 (x * (y * K(z,u))) * w != x * y | L(K(u,z),y,x) = w. [para(5921(a,1),22(a,1)),flip(a)]. 5929 (x * (y * K(z,u))) \ (x * y) != w | L(K(u,z),y,x) = w. [para(5921(a,1),237(a,1,2)),flip(b)]. 5930 (x * (y * T(z,u))) * L(K(u,z),y * z,x) = x * (y * z). [para(5139(a,1),5921(a,1,1,2))]. 5931 (x * (K(y,z) * u)) * L(K(z,T(y,u)),u,x) = x * u. [para(5370(a,1),5921(a,1,1,2))]. 5932 (x * y) \ (y * (x * T(K(x,y),z))) = K(y,x) * T(K(x,y),z). [para(5899(a,1),3882(a,1,2))]. 5933 K(x,L((y \ z) \ x,z / y,y)) = K(x,z \ (y * x)). [hyper(189,a,5916,a(flip),b,5917,a)]. 5936 ((((x * (K(y,z) * u)) / (x * u)) \ 1) \ 1) \ (x * (K(y,z) * u)) = (x * (K(y,z) * u)) * ((L(K(z,T(y,u)),u,x) \ 1) \ 1). [para(5924(a,1),2577(a,2,2,1,1))]. 5937 L(K(x,T(y,z)),z,L(y,u,w)) != v5 | K(x,T(y,L(y,u,w) * z)) = v5. [para(5925(a,1),5496(a,1))]. 5938 K(x,y) * (L(K(x,z),u,w) \ 1) = L(K(x,z),u,w) \ K(x,y). [para(5890(a,2),5911(a,2,2)),flip(a)]. 5939 T(x,L(y,x,z) \ 1) = x * K(x,y \ 1). [hyper(5167,a,5887,a)]. 5940 T(x,L(y,x,z) \ 1) != u | T(x,y \ 1) = u. [para(5939(a,2),4399(a,1))]. 5941 K(x * (y \ T(y * z,y)),L(K(y,y * z),z,x)) / ((x * z) / (x * (y \ T(y * z,y)))) = 1 / ((x * (y \ T(y * z,y))) \ (x * z)). [para(5923(a,1),4301(a,1,1,2))]. 5942 (x * (y * T(z,u))) * K(u,L(z,y,x)) = x * (y * z). [para(5904(a,1),5930(a,1,2))]. 5943 (x * (y * z)) * K(z,L(y,z,x)) = x * (z * y). [para(113(a,1),5942(a,1,1,2))]. 5945 x * (y * K(z,(x \ 1) \ y)) = (x * y) * K(z,x * y). [para(58(a,1),5926(a,1,2,2)),flip(a)]. 5946 K(x \ (y * z),(y \ 1) \ z) = K((y \ x) \ z,y * z). [hyper(5598,a,5945,a(flip))]. 5948 K((x \ y) \ (x \ z),x * (x \ z)) = K(y \ z,(x \ 1) \ (x \ z)). [para(17(a,1),5946(a,1,1,2)),flip(a)]. 5949 (x * y) \ (y * (x * T(K(x,y),z))) = K(z,K(y,x)). [hyper(189,a,4463,a(flip),b,5932,a)]. 5950 (x * y) \ (y * T(x,T(y,z))) = K(z,K(y,x)). [para(5349(a,1),5949(a,1,2,2))]. 5951 (x * y) \ T(x * y,K(y,z)) = K(z,K(y,x)). [para(5523(a,2),5950(a,1,2))]. 5952 K(x * y,K(y,z)) = K(z,K(y,x)). [hyper(4413,a,5951,a)]. 5953 K(x,K(y,z)) = K(z,K(y,x)). [hyper(189,a,5487,a(flip),b,5952,a(flip))]. 5954 K(K(x,y),z) = K(x,K(y,z)). [hyper(4616,a,5953,a)]. 5955 K(x,K(y,z * y)) = K(x,K(y,z)). [hyper(189,a,5952,a(flip),b,5953,a)]. 5956 K(x,K(y,z)) \ 1 = K(z,K(x,y)). [para(5953(a,1),4593(a,1,1))]. 5958 K(x,y) * K(x,K(y,z)) = T(K(x,y),z). [para(5953(a,1),4595(a,1,2))]. 5959 K(K(L(x \ 1,y,z) \ 1,u),w) = L(K(x,K(u,w)),y,z). [hyper(189,a,4829,a(flip),b,5954,a)]. 5960 K(K(R(x \ 1,y,z) \ 1,u),w) = R(K(x,K(u,w)),y,z). [hyper(189,a,4820,a(flip),b,5954,a)]. 5961 T(x,K(y,z)) * K(y,K(z,x)) = x. [para(5954(a,1),4365(a,1,2))]. 5962 (K(x,K(y,z)) * u) / (K(x,y) \ u) = T(K(x,y),z). [para(5954(a,1),4550(a,1,1,1))]. 5963 K(x,K(y,z)) != u | K(z,K(y,x)) = u. [para(5954(a,1),4693(a,1))]. 5964 (x * K(y,z)) * K(y,K(z,u)) = x * T(K(y,z),u). [para(5954(a,1),5139(a,1,2))]. 5965 K(x,K(y,y * z)) = K(x,K(y,z)). [para(4576(a,1),5955(a,1,2))]. 5966 K(x,K(y,z)) = K(y,K(x,z)). [hyper(4594,a,5956,a)]. 5967 K(x,K(y,z)) != u | K(y,K(x,z)) = u. [para(5956(a,1),4594(a,1))]. 5968 K(K(x,y),z) = K(y,K(x,z)). [hyper(189,a,5954,a,b,5966,a),flip(a)]. 5969 K(x,K(y,z)) = K(z,K(x,y)). [hyper(189,a,5953,a,b,5966,a)]. 5970 x * K(y,K(x,z)) = T(x,K(y,z)). [para(5966(a,1),4396(a,2,2)),flip(a)]. 5971 K(x,K(y,z)) * y = T(y,K(x,z)). [para(5966(a,1),4403(a,2,1)),flip(a)]. 5972 x * K(y,K(x,z)) != u | T(x,K(y,z)) = u. [para(5966(a,1),4399(a,1,2))]. 5973 K(x,K(y,z)) * y != u | T(y,K(x,z)) = u. [para(5966(a,1),4404(a,1,1))]. 5974 (K(x,K(y,z)) * u) / (y \ u) = T(y,K(x,z)). [para(5966(a,1),4550(a,1,1,1))]. 5975 K(x,y) * T(x,K(z,u)) = T(x,y) * K(z,K(x,u)). [para(5966(a,1),4557(a,2,2))]. 5976 K(x,y) * K(y,K(z,x)) = T(K(x,y),z). [para(5966(a,1),4595(a,1,2))]. 5977 (K(x,K(y,z)) * u) / (y \ u) != w | T(y,K(x,z)) = w. [para(5966(a,1),4555(a,1,1,1))]. 5978 K(x,K(y,z)) * K(z,x) = K(z,T(x,y)). [para(5966(a,1),5338(a,1,1))]. 5979 K(K(x,y),z) = K(z,K(x,y)). [hyper(189,a,5953,a,b,5968,a)]. 5980 K(x,K(y,z)) * (z * K(y,x)) = K(y,x) * z. [para(5968(a,1),4373(a,1,1))]. 5981 K(x,K(R(y \ 1,z,u) \ 1,w)) = K(R(K(y,x),z,u),w). [para(4820(a,1),5968(a,1,1)),flip(a)]. 5982 K(x,K(L(y \ 1,z,u) \ 1,w)) = K(L(K(y,x),z,u),w). [para(4829(a,1),5968(a,1,1)),flip(a)]. 5983 K(x,K(y,z)) = K(x,K(z,y)). [hyper(189,a,5966,a,b,5969,a)]. 5984 K(x,K(y,z)) * z = T(z,K(x,y)). [para(5969(a,2),4403(a,2,1)),flip(a)]. 5985 K(x,K(y,z)) * (z * u) = T(z,K(x,y)) * u. [para(5969(a,2),4407(a,1,1))]. 5986 (K(x,K(y,z)) * u) / (y \ u) = T(y,K(z,x)). [para(5969(a,1),4550(a,1,1,1))]. 5987 K(x,K(y,z)) * K(y,x) = K(y,T(x,z)). [para(5969(a,2),5338(a,1,1))]. 5988 K(x,K(y,z)) * (K(z,u) * w) = K(z,u) * (K(z,K(x,y)) * w). [para(5969(a,2),5827(a,1,1))]. 5989 L(K(x * y,x) * K(x,K(z * y,x * y)),y,z) = (z * (T(x * y,x) / T(x,y))) / (z * y). [para(5969(a,1),5446(a,1,1,2))]. 5990 K(x,K(y,z)) * u != w | K(x,K(y,z)) * w = u. [para(5979(a,1),3907(a,1,1))]. 5991 K(x,K(y,z)) != u | K(x,K(z,y)) = u. [para(5979(a,1),4693(a,1))]. 5992 K(x,K(y,z * y)) = K(x,K(z,y)). [hyper(189,a,5955,a,b,5983,a),flip(a)]. 5993 T(x,K(y,z)) * K(z,x) = x * T(K(z,x),y). [para(5961(a,1),5146(a,1,1)),flip(a)]. 5994 K(x,K(y,y * z)) = K(y,K(x,z)). [hyper(189,a,5966,a,b,5965,a)]. 5995 K(x,K(y,y \ z)) = K(x,K(y,z)). [para(17(a,1),5965(a,1,2,2)),flip(a)]. 5996 K(x,K(y,z)) * K(y * z,y) = K(y * z,T(y,x)). [para(5965(a,1),5338(a,1,1))]. 5997 x * K(y,K(x,x * z)) = T(x,K(y,z * x)). [para(4576(a,1),5970(a,1,2,2))]. 5998 K(x,K(y,x * z)) = K(x,K(y,z)). [hyper(189,a,5966,a,b,5994,a(flip)),flip(a)]. 5999 K(x,K(y,y \ z)) = K(y,K(z,x)). [hyper(189,a,5969,a,b,5995,a)]. 6000 T(x,K(y,y \ z)) = x * K(x,K(y,z)). [para(5995(a,1),4396(a,2,2))]. 6001 K(x,K(x \ y,z)) = K(x,K(y,z)). [hyper(189,a,5969,a,b,5999,a(flip)),flip(a)]. 6002 K(x \ y,x) * K(x,K(y,z)) = T(K(x \ y,x),z). [para(5999(a,1),4595(a,1,2))]. 6003 K(x,K(x * y,z)) = K(x,K(y,z)). [para(16(a,1),6001(a,1,2,1)),flip(a)]. 6004 K(x,K(x \ y,T(z,y))) = K(x,K(y,z)). [para(3874(a,1),6001(a,2,2))]. 6009 K(x,K(y,z)) != u | K(y,K(z,x)) = u. [para(5983(a,1),5963(a,1))]. 6011 K(x,K(y,y \ z)) != u | K(y,K(z,x)) = u. [para(5995(a,2),6009(a,1))]. 6012 K(x,y) * K(x,K(y,z)) = K(x,T(y,z)). [hyper(189,a,5334,a,b,5958,a)]. 6014 K(x,K(y,z)) * K(x * y,x) = K(x * y,T(x,z)). [para(6003(a,1),5987(a,1,1))]. 6015 T(x,K(y,y \ z)) = T(x,K(y,z)). [hyper(189,a,4396,a,b,6000,a)]. 6016 T(x,K(y,y \ z)) != u | T(x,K(y,z)) = u. [para(6000(a,2),4399(a,1))]. 6017 K(x \ y,x) * (z / (x \ y)) = T(z / (y / x),K(x,y)). [hyper(5450,a,6015,a)]. 6018 T(x,K(y,y * z)) = T(x,K(y,z)). [para(16(a,1),6015(a,1,2,2)),flip(a)]. 6019 T(x * y,T(z,K(x,y))) = T(x * y,z). [para(6018(a,1),5378(a,1,2))]. 6020 K(x,T(y,z)) != K(x,y) * u | K(x,K(y,z)) = u. [para(6012(a,1),22(a,1))]. 6021 K(x,y) * K(z,K(x,y)) = K(x,T(y,z)). [para(5969(a,1),6012(a,1,2))]. 6022 (x * K(y,z)) / x = K(y,T(z,x)). [hyper(4384,a,6021,a)]. 6023 T(K(x,T(y,z)),z) = K(x,y). [para(6021(a,1),4374(a,1,1))]. 6024 K(x,T(y,z)) * z = z * K(x,y). [para(6021(a,1),4405(a,1,1))]. 6025 (x * (y * K(z,u))) / (x * y) = L(K(z,T(u,x * y)),y,x). [para(6021(a,1),4490(a,1,1)),flip(a)]. 6026 K(x,T(T(y,z),z)) = K(x,y). [hyper(5490,a,6023,a)]. 6027 K(T(x,y),T(z,y)) = K(x,z). [hyper(5431,a,6023,a)]. 6029 K(x \ y,T(z,y)) = K(y / x,z). [hyper(189,a,5210,a(flip),b,6023,a(flip)),flip(a)]. 6030 T(K(x,y \ z),z) = K(x,(y / z) \ 1). [para(4247(a,1),6023(a,1,1,2))]. 6031 T(T(K(x,y),z),z) = K(x,y). [para(5334(a,1),6023(a,1,1))]. 6032 T(T(x,y),T(z,y)) = K(x,z) * T(x,y). [para(6023(a,1),5387(a,1,1)),flip(a)]. 6033 K(x \ y,T(z,x)) = K(y / x,z). [hyper(5429,a,6026,a)]. 6034 K((x * y) / x,z) = K(y,T(z,x)). [hyper(5415,a,6026,a),flip(a)]. 6035 K(x,T(y \ z,y)) = K(x,z / y). [para(115(a,1),6026(a,1,2,1))]. 6036 K(x,(y * z) / y) = K(x,T(z,y)). [para(142(a,1),6026(a,1,2,1)),flip(a)]. 6037 K(x,R(T(T(y,z),z),u,w)) = K(x,R(y,u,w)). [para(635(a,2),6026(a,1,2))]. 6038 K((x * y) / x,z) != u | K(y,T(z,x)) = u. [para(6026(a,1),5415(a,1))]. 6039 K(T(x,y),z \ y) = K(x,y / z). [hyper(5325,a,6027,a)]. 6040 K(L(T(x,y),z,u),T(w,y)) = K(L(x,z,u),w). [para(43(a,2),6027(a,1,1))]. 6041 K(T(x,y),y \ z) = K(x,z / y). [para(115(a,1),6027(a,1,2))]. 6042 K(x,(T(y,z) * z) / T(y,z)) = K(T(x,y),z). [para(3591(a,1),6027(a,1,2)),flip(a)]. 6043 K(T(x / (x / y),z),u) = K(T(y,z),T(u,y \ x)). [para(3586(a,1),6027(a,1,1)),flip(a)]. 6046 K(x * K(y,x),z) = K(x,T(z,y)). [para(4374(a,1),6027(a,1,1)),flip(a)]. 6047 K(x,y * K(z,y)) = K(T(x,z),y). [para(4374(a,1),6027(a,1,2)),flip(a)]. 6048 x * K(T(x,y),T(z,y)) = T(x,z). [para(6027(a,2),4396(a,2,2)),flip(a)]. 6049 T(x * K(T(y,z),x),z) = K(y,x) * T(x,z). [para(6027(a,1),4656(a,1,1)),flip(a)]. 6050 T(x,T(y,z)) * z = (x * z) * K(x,y). [para(6027(a,1),5138(a,1,2)),flip(a)]. 6051 K(T(x,y),z) * y = y * K(x,z). [para(6027(a,1),5345(a,1,2)),flip(a)]. 6052 K(x,T(y,z)) * (z * K(y,x)) = z. [para(6027(a,1),5360(a,1,2,2))]. 6053 (x * K(y,z)) / x = T(K(y,z),x). [para(6031(a,1),143(a,1,1,2))]. 6054 L(T(K(x,y),z),u,w) * z = z * L(K(x,y),u,w). [para(6031(a,1),159(a,1,2,1)),flip(a)]. 6055 L(T(K(x,y),z),u,w) \ (z * L(K(x,y),u,w)) = z. [para(6031(a,1),179(a,1,2,2,1))]. 6056 T(x,K(y,z)) * K(y,z) = K(y,z) * x. [para(6031(a,1),3703(a,1,2))]. 6057 K(x * y,y * K(y \ 1,x)) = K(y \ 1,T(x,y)). [hyper(4871,a,6022,a)]. 6058 R(T(K(x,T(y,z)),z * u),z,u) != w | (z * u) \ ((z * K(x,y)) * u) = w. [para(6022(a,1),721(a,1,1,1))]. 6059 T(x,T(y,z)) * (x \ z) = z * K(x,y). [hyper(4606,a,6024,a)]. 6060 K(x,T(y \ z,z)) = K(x,z / y). [hyper(21,a,5271,a,b,6024,a)]. 6061 T(x,T(y,z)) * z = x * (z * K(x,y)). [para(6024(a,1),4376(a,1,2)),flip(a)]. 6062 (x * K(y,z)) / (y \ x) != u | T(y,T(z,x)) = u. [para(6024(a,1),4555(a,1,1))]. 6063 K(x \ y,z) * y = y * K(y / x,z). [para(5340(a,1),6024(a,1,1))]. 6064 K(x \ (y * z),T(y,z)) = K((y * z) / x,y). [hyper(5499,a,6029,a)]. 6065 K(x / (x / y),z) = K(y,T(z,x)). [hyper(4628,a,6029,a),flip(a)]. 6067 K(x / (x / y),z) != u | K(y,T(z,x)) = u. [para(6029(a,1),4628(a,1))]. 6068 K(x / y,x / z) != u | K(y \ x,z \ x) = u. [para(6029(a,1),5325(a,1))]. 6070 K(x / y,y * K(z,u)) = K(y \ x,K(z,u) * y). [hyper(189,a,5336,a(flip),b,6033,a(flip))]. 6071 K(((x * y) * z) / (x * (y * z)),u) = K(a(x,y,z),T(u,x * (y * z))). [para(27(a,2),6033(a,1,1)),flip(a)]. 6073 R(x,y,z) \ R(x * K((u * w) / u,x),y,z) = K(w,T(R(x,y,z),u)). [hyper(189,a,4741,a,b,6034,a(flip)),flip(a)]. 6074 K(x * T(x \ y,y),z) = K(y,T(z,x \ y)). [para(1464(a,1),6034(a,1,1))]. 6075 K(x \ T(x * y,y),z) = K(y,T(z,x * y)). [para(3338(a,1),6034(a,1,1))]. 6076 ((x * y) / x) * K(y,T(z,x)) = T((x * y) / x,z). [para(6034(a,1),4396(a,2,2)),flip(a)]. 6077 K(R(x * K(y,x),z,u),w) = K(R(x,z,u),T(w,y)). [para(4489(a,2),6034(a,1,1))]. 6078 L(K(x,T(y \ z,u)),y \ z,y) = K((u * x) / u,(z \ y) \ 1). [para(6034(a,1),4928(a,1,1))]. 6079 K(x,T(T(y,z),z)) != u | K(x,y) = u. [para(6034(a,1),5415(a,1))]. 6080 K(R(T(x,y),z,u),y \ w) = K(R(x,z,u),w / y). [hyper(189,a,5393,a,b,6035,a(flip)),flip(a)]. 6081 K(x,(y * z) / y) != u | K(T(x,y),z) = u. [para(6036(a,2),5430(a,1))]. 6082 K(T(x \ 1,y),z \ (x * y)) = K(x \ 1,(x * y) / z). [hyper(5438,a,6039,a)]. 6083 K(T(x,x \ y),z \ (y * (x \ 1))) = K(x,(y * (x \ 1)) / z). [para(3619(a,1),6039(a,1,1))]. 6084 K(x,(x \ y) / z) != u | K(T(x,y),z \ (x \ y)) = u. [para(6039(a,1),5434(a,1))]. 6085 K(T(x,x \ y),((x \ 1) * y) \ z) = K(x,z / ((x \ 1) * y)). [para(3610(a,1),6041(a,1,1))]. 6088 K(T(x,y),T(z,R(x,u,w) * y)) = K(R(x,y,R(T(x,y),u,w)),z). [para(5811(a,1),6046(a,1,1)),flip(a)]. 6089 K(x,y * K(z * y,y)) = K(T(x,y * z),y). [para(4617(a,2),6047(a,1,2,2))]. 6090 T(x,T(y,z * K(u,z))) = T(x,y * K(T(y,u),z)). [para(6047(a,1),4734(a,1,2,2)),flip(a)]. 6091 x / (K(T(y,z),x) * K(x * K(z,x),z)) = T(x * K(z,x),y). [para(6047(a,1),4672(a,1,2,1))]. 6092 T(x,T(T(y,z),z)) = T(x,y). [hyper(5407,a,6048,a)]. 6093 T(x,y * K(z,y)) = T(x,T(y,z)). [para(4374(a,1),6092(a,1,2,1)),flip(a)]. 6094 T(T(x,y),T(z,y)) = K(x,y) * T(x,z). [para(6092(a,1),5425(a,1,2)),flip(a)]. 6095 K(x,T(y,z)) * (z * x) = z * T(x,y). [para(6092(a,1),5460(a,2,2))]. 6097 K(K(x,y) * z,u) * z = z * K(z * K(x,y),u). [para(5410(a,1),6051(a,1,1))]. 6098 T(K(x,y),z) != K(x,y) * u | K(z,K(x,y)) = u. [para(6053(a,1),4481(a,1))]. 6099 K(x / (x / y),T(z,u)) = K(y,T(T(z,x),u)). [para(41(a,1),6065(a,2,2))]. 6100 K(x \ y,T(z,y)) != u | K(y / x,z) = u. [para(5340(a,1),6079(a,1))]. 6101 K(T(x,y),T(z,y)) != u | K(x,z) = u. [para(5380(a,2),6079(a,1))]. 6102 K(x \ y,T(z,x)) != u | K(y / x,z) = u. [para(5394(a,1),6079(a,1))]. 6103 K(x,T(y,R(T(x,z),u,w))) != v5 | K(x,y) = v5. [para(5399(a,1),6079(a,1))]. 6104 K(x * y,T(z,y * x)) != u | K(x * y,z) = u. [para(5419(a,1),6079(a,1))]. 6105 K(R(T(x,y),z,u),T(w,y)) != v5 | K(R(x,z,u),w) = v5. [para(5393(a,2),6079(a,1))]. 6106 K(x / y,T(z,x)) != u | K(y \ x,z) = u. [para(6029(a,1),6079(a,1))]. 6107 K(T(x,y),T(T(z,y),u)) != w | K(x,T(z,u)) = w. [para(41(a,1),6101(a,1,2))]. 6108 K(L(T(x,y),z,u),T(w,y)) != v5 | K(L(x,z,u),w) = v5. [para(43(a,2),6101(a,1,1))]. 6109 K(T(x,y),L(T(z,y),u,w)) != v5 | K(x,L(z,u,w)) = v5. [para(43(a,2),6101(a,1,2))]. 6110 K(T(x,y),R(T(z,y),u,w)) != v5 | K(x,R(z,u,w)) = v5. [para(45(a,2),6101(a,1,2))]. 6111 K(T(x,y),y \ z) != u | K(x,z / y) = u. [para(115(a,1),6101(a,1,2))]. 6112 K(R(x \ y,z,u),T(w,x)) != v5 | K(R(y / x,z,u),w) = v5. [para(163(a,1),6101(a,1,1))]. 6113 K(T(x,y),z \ y) != u | K(x,y / z) = u. [para(5332(a,1),6101(a,1))]. 6114 K(x,((y * z) / y) \ 1) = T(K(x,z \ 1),y). [para(5261(a,1),6030(a,1,1)),flip(a)]. 6115 (K(x,y) * z) * K(y,x) = T(z,K(x,y)). [hyper(3929,a,6056,a)]. 6116 T(K(x,y) * z,K(y,u)) * K(y,u) = K(x,y) * (K(y,u) * z). [hyper(189,a,5830,a(flip),b,6056,a)]. 6117 T(T(x,K(y,z)),K(y,z)) = x. [hyper(147,a,6056,a,b,xx)]. 6118 T(x,K(y,z)) = T(x,K(z,y)). [hyper(21,a,3958,a,b,6056,a)]. 6120 T(x * K(y,z),u) / x = x \ T(K(y,z) * x,u). [para(6056(a,1),4170(a,1,2,1)),flip(a)]. 6121 T(x,K(y,z)) != u | T(x,K(z,y)) = u. [para(6117(a,1),4592(a,1,1)),flip(b)]. 6122 K(x,y) * (z * K(y,x)) = T(z,K(x,y)). [hyper(3951,a,6118,a)]. 6123 T(K(x,y) * z,K(y,x)) != u | z * K(x,y) = u. [para(6118(a,1),4237(a,1))]. 6124 L(T(x,y),z,u) * (L(x,z,u) \ x) = x * K(L(x,z,u),y). [para(3532(a,1),6059(a,1,1))]. 6125 T(x * y,z) * ((x * y) \ K(x,y)) = K(x,y) * K(x * y,z). [para(6019(a,1),6059(a,1,1))]. 6126 (x * y) * K(x,z) = x * (y * K(x,z)). [hyper(189,a,6050,a(flip),b,6061,a(flip)),flip(a)]. 6127 x * (y * K(x,T(y,z))) = T(x,T(y,z)) * y. [para(124(a,1),6061(a,1,1,2)),flip(a)]. 6129 K(x \ y,z) \ (y * K(y / x,z)) != u | u = y. [para(6063(a,1),237(a,1,2))]. 6130 K(x / y,z) * K(K(y \ x,z) * x,x) = x \ T(x * K(x / y,z),x). [para(6063(a,2),5198(a,2,2,1)),flip(a)]. 6131 (T(x * K(y \ x,z),x) / x) \ (x * K(x / y,z)) = L(x,K(y \ x,z),x). [para(6063(a,1),5774(a,1,2))]. 6132 x * (K(y,x) * T(y,z)) = T(y,T(z,x)) * x. [para(6094(a,1),158(a,1,2))]. 6133 (x * T(y,z)) / T(x,y) = T(y,T(z,x)). [hyper(76,a,6095,a(flip),b,4542,a(flip))]. 6134 T(K(x,y),z) * (z * x) = z * T(x,y). [para(5334(a,1),6095(a,1,1))]. 6135 T(x * T(y,z),K(y,z)) = K(y,z) * (x * y). [para(5158(a,1),6122(a,1,2)),flip(a)]. 6136 K(x,y) * (K(z,x) * (u * K(y,x))) = K(z,x) * T(u,K(x,y)). [para(6122(a,1),5830(a,2,2))]. 6140 R(x,y,K(x,z)) = x. [hyper(376,a,6126,a)]. 6141 K(x,(x \ y) \ z) = K(x,y \ (x * z)). [hyper(20,a,5926,a,b,6126,a)]. 6142 K(x,(x \ 1) \ y) = K(x,x * y). [hyper(20,a,5945,a(flip),b,6126,a)]. 6143 (x * y) * z != x * (y * K(x,u)) | K(x,u) = z. [para(6126(a,1),22(a,1)),flip(a)]. 6144 (x * (y * K(x,z))) * x = (x * y) * T(x,z). [para(6126(a,1),5132(a,1,1))]. 6145 R(T(x,y),z,K(x,u)) = T(x,y). [para(6140(a,1),45(a,2,1))]. 6146 R(R(x,y,z),u,K(x,w)) = R(x,y,z). [para(6140(a,1),49(a,1,1)),flip(a)]. 6147 (L(x,y,z) * u) * K(x,w) = L(x,y,z) * (u * K(x,w)). [para(6140(a,1),381(a,1,1,1)),flip(a)]. 6148 (R(x,y,z) * u) * K(x,w) = R(x,y,z) * (u * K(x,w)). [para(6140(a,1),382(a,1,1,1)),flip(a)]. 6149 R(x * y,K(x,z),K(y * K(x,z),x)) \ ((y * K(x,z)) * R(x,y,K(x,z))) = K(x,z) * K(y * K(x,z),R(x,y,K(x,z))). [para(6140(a,1),1782(a,1,1,3,2))]. 6150 R(x,y,K(T(x,z),u)) = x. [para(5380(a,2),6140(a,1,3))]. 6151 (x * y) * K(T(x,z),u) = x * (y * K(T(x,z),u)). [para(6150(a,1),110(a,1,1)),flip(a)]. 6153 T(x,y * K(x,z)) = T(x,y). [hyper(189,a,5239,a(flip),b,6145,a(flip))]. 6156 K(x,y * K(x,z)) = x \ T(x,y). [hyper(75,a,6153,a(flip),b,4396,a(flip)),flip(a)]. 6159 T(x,y * K(z,x)) = T(x,y). [para(3919(a,1),6153(a,1,2)),flip(a)]. 6161 T(x,K(x,y) * z) = T(x,z). [para(5345(a,1),6153(a,1,2))]. 6162 T(x,K(y,x) * z) = T(x,z). [para(5348(a,1),6153(a,1,2)),flip(a)]. 6164 T(x,y * (z * x)) = T(x,y * (x * z)). [para(5943(a,1),6153(a,1,2)),flip(a)]. 6165 K((x * K(y,z)) \ u,T(y,x)) = K(u / (x * K(y,z)),y). [para(6153(a,1),6033(a,1,2))]. 6166 T(x,y \ T(z,x)) = T(x,y \ z). [para(1077(a,1),6159(a,1,2))]. 6167 T((x \ y) * x,z * K(u,y)) = (x \ T(y,z)) * x. [para(6159(a,1),4153(a,2,1,2))]. 6168 T(x,T(y,x) * z) = T(x,y * z). [para(4754(a,1),6159(a,1,2))]. 6169 K(T(x,y),(y * K(z,x)) \ u) = K(x,u / (y * K(z,x))). [para(6159(a,1),6041(a,1,1))]. 6170 T(x,T(x,y) * z) = T(x,x * z). [para(4407(a,1),6161(a,1,2))]. 6172 T(x,y) * K(z,T(x,K(x,u) * y)) = T(x * K(z,x),K(x,u) * y). [para(6161(a,1),4653(a,1,1))]. 6173 L(x,y \ (K(z,y) * u),T(y,u)) = L(x,y \ (K(z,y) * u),y). [para(6162(a,1),4006(a,1,3))]. 6174 K(x,y * K(x,z)) = K(x,y). [hyper(189,a,4360,a,b,6156,a)]. 6175 K(x,y * K(x,z)) != u | K(x,y) = u. [para(6156(a,2),4413(a,1))]. 6176 K(x,y / K(z,x)) = K(x,y). [para(3890(a,2),6174(a,1,2))]. 6177 K(x,y * K(z,x)) = K(x,y). [para(3919(a,1),6174(a,1,2)),flip(a)]. 6178 K(x,y * T(z,x)) = K(x,y * z). [para(5158(a,1),6174(a,1,2)),flip(a)]. 6179 K(x,K(x,y) * z) = K(x,z). [para(5345(a,1),6174(a,1,2))]. 6180 x \ R(x,y * K(x,z),x) = K(x,y) * K(y * T(x,z),x). [para(6174(a,1),5149(a,1,1)),flip(a)]. 6182 K(x,y \ K(z,x)) = K(x,y \ 1). [hyper(189,a,4777,a(flip),b,6176,a(flip))]. 6183 K(x * K(y,z),z) = 1 / K(z,x). [para(6177(a,1),3875(a,1,2)),flip(a)]. 6184 R(K(x,y),(y * K(z,x)) * u,w) = K(x,R(y * K(z,x),u,w)). [para(6177(a,1),5683(a,1,1))]. 6185 T(K(x,y) * z,K(x,z)) = K(x,y) * z. [para(6179(a,1),2753(a,1,2))]. 6186 K(x,T(x,y) \ z) = K(x,x \ z). [para(4541(a,1),6179(a,1,2)),flip(a)]. 6187 K(x,K(K(x,y) * z,u)) = K(K(x,z),u). [para(6179(a,1),5954(a,1,1)),flip(a)]. 6188 T(x,y \ (z / x)) = T(x,y \ (x \ z)). [para(115(a,1),6166(a,1,2,2)),flip(a)]. 6190 (T(x,y) * z) \ ((x * y) * z) = R(T(y,x * z),T(x,y),z). [para(6168(a,1),734(a,1,1)),flip(a)]. 6191 K((T(x,y) * z) \ u,T(x,x * z)) = K(u / (T(x,y) * z),x). [para(6170(a,1),6033(a,1,2))]. 6192 (x * (y \ T(y * T(z,y),y))) \ (x * T(z,y)) = L(K(y,y * z),T(z,y),x). [para(6178(a,1),5923(a,2,1))]. 6193 K(x * K(y,z),z) = K(x,z). [hyper(189,a,3875,a(flip),b,6183,a)]. 6194 K(x * K(y,z),z) != u | K(x,z) = u. [para(6183(a,2),3880(a,1))]. 6195 K(x * T(y,z),z) = K(x * y,z). [para(1078(a,1),6193(a,1,1))]. 6197 K(x * K(y,z),y) = K(x,y). [para(3919(a,1),6193(a,1,1)),flip(a)]. 6199 K(x * T(y,z),y) = K(x * y,y). [para(5158(a,1),6193(a,1,1)),flip(a)]. 6200 K(x * K(y,T(z,u)),z) = K(x,z). [para(5337(a,1),6193(a,1,1,2))]. 6201 K(K(x,y) * z,x) = K(z,x). [para(5365(a,1),6193(a,1,1)),flip(a)]. 6202 K(K(x,y) \ z,x) = K(z,x). [para(5369(a,1),6193(a,1,1))]. 6203 K(K(x,y) * z,y) = K(z,y). [para(5370(a,1),6193(a,1,1))]. 6207 K(x * L(K(y,z),u,w),y) = K(x,y). [para(5886(a,1),6197(a,1,1,2))]. 6209 K(T(x,y) \ z,x) = K(x \ z,x). [para(4541(a,1),6201(a,1,1)),flip(a)]. 6211 K(R(K(x,y),z,u) * w,x) = K(w,x). [para(5668(a,1),6201(a,1,1,1))]. 6212 L(K(x,y),K(y,z) * x,u) = K(K(y,z) * x,y). [para(6201(a,1),5897(a,1,1))]. 6213 K(K(x,y) * z,x) != u | K(z,x) = u. [para(6202(a,1),4566(a,1))]. 6214 K(K(x,y) * z,T(y,u)) = K(z,T(y,u)). [para(5396(a,1),6203(a,1,1,1))]. 6215 K(x / y,(x / y) \ z) = K(x / y,(y \ x) \ z). [para(115(a,1),6186(a,1,2,1)),flip(a)]. 6217 K(x * K(y / z,u),y) = K(x * K(z \ y,u),y). [para(5210(a,1),6195(a,1,1,2)),flip(a)]. 6218 T(T(x * K(y * T(x,z),x),u),y) = R(T(x,u),y,x). [para(6199(a,2),4910(a,1,1,1,2))]. 6219 K(T(x,T(y,z)) * u,y) = K(x * u,y). [para(4754(a,1),6200(a,1,1))]. 6220 x * K(T(y,z) \ x,y) = (y \ x) * y. [para(6209(a,2),213(a,1,2))]. 6221 T(x * K(x \ y,x),z) \ y = y / T(x,z). [para(6209(a,1),4795(a,1,1,1,2))]. 6225 K(x,K(x,y) * z) != u | K(x,z) = u. [para(5345(a,1),6175(a,1,2))]. 6226 K(x,y / (x \ z)) != u | K(x,y / (z / x)) = u. [para(5447(a,1),6175(a,1,2))]. 6227 K(x \ T(y,z),z) != u | K(x \ y,z) = u. [para(1077(a,1),6194(a,1,1))]. 6230 K(x * (y * K(z,u)),z) = K(x * y,z). [para(102(a,1),6207(a,1,1))]. 6231 K(x * (y * K(z,u)),u) = K(x * y,u). [para(5921(a,1),6207(a,1,1)),flip(a)]. 6232 K((K(x,y) * z) * u,x) = K(z * u,x). [para(110(a,1),6211(a,1,1))]. 6233 K(R(K(x,y),z,u) * w,T(x,v5)) = K(w,T(x,v5)). [para(6027(a,1),6211(a,1,1,1,1))]. 6235 K((x \ y) \ z,x) != u | K((y / x) \ z,x) = u. [para(4707(a,1),6213(a,1,1))]. 6236 K(x,(x \ y) \ z) != u | K(x,(y / x) \ z) = u. [para(4707(a,1),6225(a,1,2))]. 6237 ((x / y) * T(y,z)) / (y \ x) = T(y,T(z,x / y)). [para(115(a,1),6133(a,1,2))]. 6238 (x * ((y \ z) \ z)) / T(x,y) = T(y,T(y \ z,x)). [para(114(a,1),6133(a,1,1,2))]. 6239 T(x,K(y,z)) * T(y,z) = K(y,z) * (x * y). [hyper(4008,a,6134,a),flip(a)]. 6240 L(K(x,y \ (x * (z \ u))),z \ u,z) = K(x,(z * (x \ y)) \ u). [para(6141(a,1),5914(a,1,1))]. 6241 K(x,K(K(x,y) * z,u)) = K(x,K(z,u)). [hyper(189,a,5954,a(flip),b,6187,a)]. 6242 K(T(x,y) \ K(z,x),T(x,y)) = K(T(x,y) \ 1,T(x,y)). [hyper(189,a,4257,a(flip),b,6214,a(flip)),flip(a)]. 6243 K(T(x,y) * z,T(x,u)) = K(x * z,T(x,u)). [para(4383(a,1),6214(a,1,1)),flip(a)]. 6244 K(T(x,y) \ z,T(y,u)) = K(x \ z,T(y,u)). [para(4541(a,1),6214(a,1,1)),flip(a)]. 6245 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(6219(a,1),4654(a,1,1,2))]. 6246 T(x,y) * T(T(x,y) \ z,x) = (x \ z) * x. [hyper(5174,a,6220,a)]. 6247 K(x * (K(y,z) * u),y) = K(x * u,y). [para(5345(a,1),6230(a,1,1,2))]. 6248 K(x * (y \ T(z,u)),u) = K(x * (y \ z),u). [para(1077(a,1),6231(a,1,1,2))]. 6250 K((x / (x / y)) * z,y) = K(y * z,y). [para(4345(a,1),6232(a,1,1,1)),flip(a)]. 6251 K(K(x,y) * z,K(x,u)) = K(x,K(z,u)). [hyper(5967,a,6241,a)]. 6252 K(L(x,y,z),u * (K(x,w) * v5)) = L(x,y,z) / L(x * K(u * v5,x),y,z). [para(6247(a,1),4739(a,1,2,1,2)),flip(a)]. 6253 K(x * (K(y,z) * u),R(y,w,v5)) = R(y,w,v5) \ R(y * K(x * u,y),w,v5). [para(6247(a,1),4741(a,1,2,1,2)),flip(a)]. 6255 K(K(x,y) * z,K(x,u)) = K(z,K(x,u)). [hyper(189,a,5966,a,b,6251,a)]. 6256 K(K(x,y) * z,K(y,u)) = K(z,K(y,u)). [para(3887(a,1),6255(a,1,1)),flip(a)]. 6257 R(x,K(y,z) * u,K(u,K(y,w))) = x. [para(6255(a,1),5156(a,1,3))]. 6259 K(x * K(y,z),K(y,u)) = K(x,K(y,u)). [para(6024(a,1),6255(a,1,1))]. 6260 (x * (K(y,z) * u)) * K(u,K(y,z)) = x * (u * K(y,z)). [para(6257(a,1),384(a,1,1)),flip(a)]. 6261 K(x,K(y,K(z,x) * u)) = K(u,K(x,y)). [hyper(6009,a,6256,a)]. 6262 K(K(x,y) * (K(y,z) * u),K(y,w)) = K(y,K(u,w)). [hyper(189,a,6251,a(flip),b,6256,a)]. 6263 K(x,K(y,K(z,x) * u)) = K(x,K(y,u)). [hyper(189,a,5969,a,b,6261,a)]. 6264 K(x,K(y,T(x,z) * u)) = K(x,K(y,x * u)). [para(4383(a,1),6263(a,1,2,2)),flip(a)]. 6266 K(x,K(x \ y,z)) != u | K(x,K(y,z)) = u. [para(5969(a,2),6011(a,1))]. 6267 K(x * K(y,x),z) != u | K(x,T(z,y)) = u. [para(4375(a,1),6038(a,1,1))]. 6268 K(T(x * K(y,x),z),u) != w | K(T(x,z),T(u,y)) = w. [para(4424(a,2),6038(a,1,1))]. 6270 ((x * ((y * z) / y)) / x) / ((x * z) / x) = K(T(y,x),z). [hyper(6081,a,4510,a(flip)),flip(a)]. 6271 K(x,y * K(z,y)) != u | K(T(x,z),y) = u. [para(4375(a,1),6081(a,1,2))]. 6272 K(x,T(y,z)) != u | K(z / (z / x),y) = u. [para(69(a,1),6100(a,1,1))]. 6273 K(x \ (K(y,z) * u),T(y,u)) != w | K((K(y,z) * u) / x,y) = w. [para(6161(a,1),6100(a,1,2))]. 6275 K(T(x,y \ 1),(1 / y) \ z) != u | K(x,z / (1 / y)) = u. [para(2672(a,1),6111(a,1,1))]. 6276 K(T(x,y),(x \ y) \ z) != u | K(x,z / (x \ y)) = u. [para(5381(a,1),6111(a,1))]. 6277 K(x,T(y \ z,z)) != u | K(x,z / y) = u. [para(5380(a,1),6113(a,1))]. 6278 K(x \ (y \ (z * y)),y) != u | K(x \ z,y) = u. [para(35(a,1),6227(a,1,1,2))]. 6280 K(x,K(y,z)) * (z / K(x,y)) = K(y,x) * z. [para(3890(a,2),5980(a,1,2))]. 6281 K(x,K(y,z)) * (T(z,y) * K(x \ y,x)) = K(x \ y,x) * T(z,y). [para(6004(a,1),5980(a,1,1))]. 6282 K(x,K(y,z)) * (T(z,y) * u) = T(T(z,y),K(x,y)) * u. [para(3874(a,1),5985(a,1,1,2))]. 6284 T(x,K(y,z * x)) = T(x,K(y,x * z)). [hyper(5972,a,5997,a),flip(a)]. 6285 T(x,K(y,x * z)) * K(y,z * x) = K(y,z * x) * x. [para(6284(a,1),6056(a,1,1))]. 6286 K(x,R(y * K(z,y),u,w)) = K(x,R(T(y,z),u,w)). [para(4374(a,1),6037(a,1,2,1,1)),flip(a)]. 6287 L(K(T(x,y),T(z,y)),u,w) = K(L(x,u / T(x,y),w),z). [hyper(189,a,5540,a(flip),b,6040,a(flip)),flip(a)]. 6288 K(T(x,L(x,y,z) * u),T(w,u)) = K(L(x,u,L(x,y,z)),w). [para(1293(a,1),6040(a,1,1))]. 6289 K(T(x,T(y,z)),z) = K(T(x,y),z). [hyper(6081,a,6042,a)]. 6290 K(R(T(x,T(y,z)),u,w),z) = K(T(R(x,u,w),y),z). [para(45(a,2),6289(a,1,1))]. 6291 T((x * (y * K(T(z,u),y))) / x,u) = (x * (K(z,y) * T(y,u))) / x. [para(6049(a,1),330(a,1,1,2)),flip(a)]. 6292 K(K(x,y) * T(y,z),T(u,z)) = K(y * K(T(x,z),y),u). [para(6049(a,1),6027(a,1,1))]. 6293 T((x * K(y,x)) * K(T(T(z,u),y),x),u) = K(z,x * K(y,x)) * T(x * K(y,x),u). [para(6047(a,1),6049(a,1,1,2))]. 6294 K(x \ (y * z),T(y,z)) != u | K((x / z) \ y,y) = u. [para(6064(a,2),5764(a,1))]. 6295 K(T(x * K(y \ x,x),x),z) = K(x,T(z,T(y,x) \ x)). [para(5635(a,1),6074(a,1,1))]. 6296 T(x * y,y) / (T(x * y,y) / x) = x * K(y,T(x,x * y)). [para(6075(a,1),4318(a,2,2))]. 6297 K(T(x,y * z),z) = K(T(x,z * y),z). [hyper(6271,a,6089,a)]. 6298 K(R(T(x,y * z),u,w),z) = K(T(R(x,u,w),z * y),z). [para(45(a,2),6297(a,1,1))]. 6299 R(K(x,T(T(y,z),z * u)),z,u) = K(((z / x) * u) \ (z * u),y). [para(6099(a,1),5759(a,1,1))]. 6300 T(K(x,y \ 1),z) = K(x,y \ K(y,z)). [para(4497(a,1),6114(a,1,2)),flip(a)]. 6301 x * T(T(y,z),T(x,z)) = T(y,T(z,x)) * x. [para(6032(a,2),6132(a,1,2))]. 6302 K(K(x,y) * (z * x),u) != w | K(z * T(x,y),T(u,K(x,y))) = w. [para(6135(a,1),5488(a,1,1))]. 6303 (x * (y * T(x,z))) \ ((x * y) * T(x,z)) = a(x,y * K(x,z),x). [para(6144(a,1),5142(a,1,2))]. 6304 T(x / (x / y),z) \ x = x / T(y,z). [para(4318(a,2),6221(a,1,1,1))]. 6305 x / T(y \ x,z) = T(x / y,z) \ x. [para(4331(a,1),6221(a,1,1,1)),flip(a)]. 6307 x / (x / T(y,z)) = T(x / (x / y),z). [para(6304(a,1),67(a,1,2))]. 6308 T(x,y) / T(z * (x / z),u) = T(z * (x / z),u) \ T(x,y). [para(5665(a,1),6304(a,1,1,1)),flip(a)]. 6309 (T(x / y,z) \ x) \ x = T(y \ x,z). [para(6305(a,1),69(a,1,1))]. 6313 K(T(x / (x / y),z),u) != w | K(T(y,z),T(u,x)) = w. [para(6307(a,1),6067(a,1,1))]. 6314 (T(x,y) \ z) \ z = T((x \ z) \ z,y). [para(67(a,1),6309(a,1,1,1,1))]. 6316 T(T(x,y),x \ z) = (T(x,y) \ z) \ z. [hyper(189,a,221,a,b,6314,a),flip(a)]. 6318 K(T(T(x,y),x \ 1),z) != u | K(T(x,y),z) = u. [para(6316(a,2),2659(a,1,1))]. 6319 T(T(x,K(y,z)),T(y,z)) = T(x,y). [hyper(147,a,6239,a,b,4542,a(flip))]. 6321 T(T(x,K(y,z)),y) = T(x,T(y,z)). [para(6117(a,1),6319(a,1,1)),flip(a)]. 6322 T(x * K(y,x),T(y,z)) = T(x,K(y,z)). [hyper(4486,a,6321,a),flip(a)]. 6323 T(T(x,y),K(y,z)) = T(x,T(y,z)). [hyper(333,a,6321,a)]. 6325 T(x * K(y,x),T(y,z)) != u | T(x,K(y,z)) = u. [para(6321(a,1),4486(a,1))]. 6326 T(T(x,y),K(z,y)) = T(x,T(y,z)). [hyper(6121,a,6323,a)]. 6327 K(x,T(y,T(z,x))) = K(x,T(y,z)). [para(6323(a,1),5342(a,1,2))]. 6328 T(x,T(y,T(z,x))) = T(x,T(y,z)). [para(6323(a,1),5378(a,1,2))]. 6329 T(x,T(y,z / x)) = T(x,T(y,x \ z)). [para(115(a,1),6328(a,1,2,2)),flip(a)]. 6330 T(T(x,K(y,z)),y) != u | T(x,T(y,z)) = u. [para(6322(a,1),4486(a,1,1))]. 6331 T(T(x,y),K(y,z)) != u | T(x,T(y,z)) = u. [para(41(a,1),6330(a,1))]. 6332 K(T(x,y) \ z,T(y,x)) != u | K(z / x,y) = u. [para(6244(a,2),6102(a,1))]. 6333 (x \ (y * T(x,z))) * x = T(y,x) * T(x,z). [hyper(571,a,6246,a),flip(a)]. 6334 K(x,K(y,T(x,z) * u)) = K(x,K(y,u)). [hyper(189,a,5998,a(flip),b,6264,a)]. 6335 K(x,K(y,z)) * (T(x,u) * z) = T(T(x,u) * z,K(x,y)). [para(6334(a,1),5984(a,1,1))]. 6336 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(4923(a,1),6280(a,1,1,2))]. 6337 T(x * K(y,x),T(y,z)) * z = z * T(x,T(z,y)). [para(4374(a,1),6301(a,1,2,1)),flip(a)]. 6338 K(x,y) * T(K(x,y) \ z,y) = T(z,y). [hyper(5104,a,6333,a)]. 6339 x \ (y * T(x,z)) = T(y,x) * K(x,z). [hyper(21,a,5132,a,b,6333,a)]. 6341 K(x,y) * (z * T(z \ (K(x,y) \ u),y)) = T(u / z,y) * z. [para(6338(a,1),1160(a,1,1)),flip(a)]. 6342 T(K(x,y) * z,x) = K(x,y) * T(z,x). [para(6338(a,1),4968(a,1,2)),flip(a)]. 6344 T(x * K(y,z),y) = T(x,y) * K(y,z). [hyper(5145,a,6339,a)]. 6345 T(K(x,y) * (K(x,y) \ ((z \ 1) \ K(x,y))),x) = K(z,x) * ((z \ 1) \ K(x,y)). [hyper(189,a,4401,a,b,6342,a)]. 6346 x \ T(K(y,z) * (K(y,z) \ (x * u)),y) = (x \ K(y,z)) * T((x \ K(y,z)) \ u,y). [hyper(75,a,6342,a,b,826,a)]. 6348 T(K(x,y) * T(z,u),x) = K(x,y) * T(T(z,x),u). [para(41(a,1),6342(a,2,2))]. 6349 T(K(x,y) * K(z,u),x) != w | K(x,y) * K(z,T(u,x)) = w. [para(6342(a,2),5501(a,1))]. 6351 (T(x,y) / y) * T(y,z) = T(x * K(y,z),y). [hyper(189,a,5140,a,b,6344,a),flip(a)]. 6352 x \ T(x * K(y,z),y) = K(x,y) * K(y,z). [hyper(75,a,6344,a,b,4376,a)]. 6354 T((1 / ((x * y) \ x)) * K(y,z),y) = ((1 / ((x * y) \ x)) / y) * T(y,z). [para(5600(a,1),6351(a,1,1,1)),flip(a)]. 6355 x \ T(y * (x / y),y) = K(x,y) * K(y,y \ x). [para(3903(a,1),6352(a,1,2,1))]. 6356 T(K(x * y,x) * z,K(x,y)) = z * K(x * y,x). [hyper(6123,a,6018,a),flip(a)]. 6357 K(L(x,K(y,z),u),y) = K(K(y,z) * x,y). [hyper(189,a,5541,a(flip),b,6212,a(flip)),flip(a)]. 6358 K(L(x,K(y,z),u),y) = K(x,y). [hyper(189,a,6201,a(flip),b,6357,a)]. 6360 K((x * K(y,z)) \ u,y) = K(K(y,z) \ (x \ u),y). [para(183(a,1),6358(a,1,1))]. 6361 K(K(R(x,y,z),u) * w,T(x,v5)) = K(w,T(x,v5)). [para(5746(a,1),6233(a,1,1,1))]. 6362 K(x,(y / x) \ z) = K(x,y \ (x * z)). [hyper(6236,a,6141,a)]. 6363 K(x \ (y \ (z * y)),y) = K(x \ z,y). [hyper(6278,a,xx),flip(a)]. 6364 R((K(x,K(y,(y * x) * z)) * u) / (K(x,y) \ u),y * x,z) = ((y * x) * z) \ ((x * y) * z). [para(5962(a,2),4457(a,1,1))]. 6365 (x * K(y,z)) * T(K(z,y),u) = x * K(z,K(y,u)). [para(3919(a,1),5964(a,1,1)),flip(a)]. 6366 T(x,K(y,z)) * K(x \ y,x) = x * T(K(x \ y,x),z). [para(6002(a,1),4545(a,1,2)),flip(a)]. 6367 K(x * y,x) * K(x,K(y,z)) = K(x * y,T(x,z)). [hyper(1962,a,6014,a)]. 6368 L(T(K(x,y),z * (u * K(y,x))),u,z) = (z * u) / (z * (u * K(y,x))). [hyper(76,a,5921,a(flip),b,6054,a),flip(a)]. 6369 T(T(x,L(K(y,z),u,w)),L(K(y,z),u,w)) = x. [hyper(4023,a,6055,a)]. 6370 x * K(L(K(y,z),u,w),x) != v5 | T(x,L(K(y,z),u,w)) = v5. [para(6369(a,1),4486(a,1))]. 6371 K(x * y,y * K(y \ 1,x)) = K(y \ 1,x). [hyper(189,a,5343,a(flip),b,6057,a)]. 6372 K((x / y) \ 1,x * K(z,u)) = K(x \ y,K(z,u) * x). [hyper(189,a,4760,a,b,6070,a(flip)),flip(a)]. 6373 K(x,y) * T(y,T(z,x)) = T((x * y) / x,z). [hyper(5312,a,6076,a)]. 6374 K(x,y) * T((y * x) / y,z) = T(x,T(z,y)). [hyper(3907,a,6373,a)]. 6375 K(x,y) * T(x * K(y,x),z) = T(x,T(z,y)). [para(4375(a,1),6374(a,1,2,1))]. 6376 K(x,y) \ T(x,T(z,y)) = T(x * K(y,x),z). [hyper(80,a,6375,a)]. 6377 T(x,T((y * z) \ y,u)) = K(x,u) * T(x * K(u,x),z \ 1). [para(5472(a,1),6375(a,1,2)),flip(a)]. 6378 K(x,y) * T(x * K(y,x),z) != u | T(x,T(z,y)) = u. [para(6376(a,1),203(a,1,2)),flip(b)]. 6379 K(R(x / (x / y),z,u),w) = K(R(y,z,u),T(w,y \ x)). [para(4318(a,2),6077(a,1,1,1))]. 6380 K(R(x,y,z),T(u * w,w) / T(u,w)) = K(R(T(x,T(u,w)),y,z),R(w,u,w)). [para(3761(a,1),6080(a,1,2)),flip(a)]. 6381 K(T(x,y * K(z,y)),u) = u / T(u,x * K(T(x,z),y)). [para(6090(a,1),4356(a,2,2))]. 6382 K(x * K(y,z),(x / u) \ 1) = K(K(y,z) * x,x \ u). [hyper(21,a,4856,a,b,6097,a),flip(a)]. 6383 K(T(x,y),(x \ z) \ u) = K(T(x,y),z \ (x * u)). [hyper(20,a,5926,a,b,6151,a)]. 6384 T((x \ y) * x,z * K(u,y)) = T((x \ y) * x,z). [hyper(189,a,4153,a,b,6167,a)]. 6385 x * K(y / z,(z \ y) \ x) = (y / z) * (x / (y / z)). [para(6215(a,1),3903(a,1,2))]. 6386 x * (K(x / y,z) * K(x * K(y \ x,z),x)) = T(x * K(x / y,z),x). [para(6217(a,1),5248(a,1,2,2))]. 6387 (x * K(y,z)) / (y \ x) = T(y,T(z,x / y)). [para(5140(a,1),6237(a,1,1))]. 6388 T(x,T(y,z / x)) = T(x,T(y,z)). [hyper(6062,a,6387,a),flip(a)]. 6389 T(x,T(y,x \ z)) = T(x,T(y,z)). [hyper(189,a,6329,a(flip),b,6388,a(flip)),flip(a)]. 6390 T(x,T(y,z * x)) = T(x,T(y,z)). [para(18(a,1),6388(a,1,2,2)),flip(a)]. 6391 T(x \ y,T(z,y)) = T(x \ y,T(z,x)). [para(67(a,1),6388(a,1,2,2)),flip(a)]. 6392 T(x * y,T(z,y \ 1)) = T(x * y,T(z,x)). [para(5472(a,1),6389(a,1,2))]. 6393 T(x,T(y / (z * x),z)) = T(x,(z * x) \ y). [para(115(a,1),6390(a,1,2)),flip(a)]. 6394 T(x / y,T(x,y)) = T(x / y,x). [para(3780(a,1),6390(a,1,2)),flip(a)]. 6395 T(x * K(y,x),T(y * x,y)) = T((y * x) / y,y * x). [hyper(4893,a,6394,a)]. 6396 T(x \ y,T(y,x)) = T(x \ y,y). [para(112(a,1),6391(a,1,2)),flip(a)]. 6397 R(x \ y,z,u) \ R(T(x \ y,y),z,u) = K(R(x \ y,z,u),T(y,x)). [para(6396(a,1),4398(a,1,2,1))]. 6398 K(((x * y) \ (z * y)) \ 1,T(x,z)) = (x * y) \ ((z * T(z \ x,x)) * y). [para(6396(a,1),4752(a,1,2,1,2)),flip(a)]. 6399 (T(x,T(x \ y,z)) * z) \ (z * ((x \ y) \ y)) = K(z,x). [para(6238(a,1),5164(a,1,1,1))]. 6400 ((x * y) * z) / ((x * T(y,u)) * z) = K(u,R(T(y,x),x,z)). [hyper(189,a,5815,a,b,6286,a(flip)),flip(a)]. 6401 K(R(T(x,T(y,z)),u,w),z) = K(R(T(x,y),u,w),z). [para(45(a,2),6290(a,2,1))]. 6402 T(x * K(y,x),T(y,z)) = T(x * K(z,x),T(z,y)). [hyper(21,a,4423,a,b,6337,a)]. 6403 T(K(x,y) * T(y,z),x) = y * K(T(y,x),z). [hyper(189,a,4562,a(flip),b,6348,a)]. 6404 K(x * K(T(x,y),z),T(u,y)) = K(K(y,x) * T(x,z),u). [para(6403(a,1),6027(a,1,1))]. 6406 K((x * K(y,z)) \ u,y) = K(x \ u,y). [hyper(189,a,6202,a(flip),b,6360,a)]. 6408 K((x * K(y,z)) \ u,z) = K(x \ u,z). [para(3919(a,1),6406(a,1,1,1)),flip(a)]. 6409 K((K(x,y) * z) \ u,y) = K(z \ u,y). [para(5348(a,1),6406(a,1,1,1)),flip(a)]. 6410 K((x * K(y,z)) \ u,T(y,w)) = K(x \ u,T(y,w)). [para(6027(a,1),6406(a,1,1,1,2))]. 6411 K(x,(y * K(z,x)) \ u) = (w * K(y \ u,x)) \ w. [para(6408(a,1),3918(a,1,1,2)),flip(a)]. 6413 K((x * L(K(y,z),u,w)) \ v5,z) = K(x \ v5,z). [para(4829(a,1),6408(a,1,1,1,2))]. 6414 K(T(x,T(y,z)) \ u,y) = K(x \ u,y). [para(5388(a,1),6408(a,1,1,1))]. 6415 K(x \ K(y,z),y) = K(x \ 1,y). [hyper(5469,a,6409,a)]. 6416 K(L(x \ y,x,K(z,u)),u) = K(x \ (K(z,u) * y),u). [para(104(a,2),6409(a,1,1))]. 6417 K(x \ L(K(y,z),u,w),y) = K(x \ 1,y). [para(5886(a,1),6415(a,1,1,2))]. 6418 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(6417(a,1),4738(a,1,1,1,2)),flip(a)]. 6419 K((x * (y * K(z,u))) \ w,z) = K((x * y) \ w,z). [para(5921(a,1),6413(a,1,1,1)),flip(a)]. 6420 T((x \ y) * x,z \ T(u,y)) = T((x \ y) * x,z \ u). [para(1077(a,1),6384(a,1,2))]. 6421 x * T(y * K(z,y),T(z,x)) = T(x,y) * T(y,T(x,z)). [para(6402(a,1),5377(a,1,2))]. 6422 K(x,(y * K(z,x)) \ u) = K(x,y \ u). [hyper(189,a,3918,a(flip),b,6411,a)]. 6423 K(x,(y * K(z,x)) \ u) != w | K(x,y \ u) = w. [para(6411(a,2),3922(a,1))]. 6424 K(x,(K(x,y) * z) \ u) = K(x,z \ u). [para(5365(a,1),6422(a,1,2,1)),flip(a)]. 6425 T(x,(K(x,y) * z) \ u) = x * K(x,z \ u). [para(6424(a,1),4396(a,2,2))]. 6426 T(x,(K(x,y) * z) \ u) = T(x,z \ u). [hyper(189,a,4396,a,b,6425,a)]. 6428 T(x,(K(y,x) * z) \ u) = T(x,z \ u). [para(3887(a,1),6426(a,1,2,1)),flip(a)]. 6430 K(T(x,y),(z * K(u,x)) \ w) != v5 | K(T(x,y),z \ w) = v5. [para(5396(a,1),6423(a,1,2,1,2))]. 6431 K(x,(y * (x \ z)) \ u) != w | K(x,(y * (z / x)) \ u) = w. [para(5453(a,1),6423(a,1,2,1))]. 6432 T(x,(y * (z * K(x,u))) \ w) = 1 / (x \ K((y * z) \ w,x)). [para(6419(a,1),4466(a,2,2,2))]. 6433 L(K(T(x,y),T(z,y)),u,w) = K(x,L(z,u / T(z,y),w)). [hyper(6109,a,5891,a),flip(a)]. 6434 R(T(x,y),z,T(x,u)) = R(T(x,y),z,x). [hyper(189,a,5057,a(flip),b,6218,a(flip)),flip(a)]. 6438 T(T(x,y) * z,T(x,y)) = z * R(T(x,y),z,x). [para(6434(a,1),3668(a,1,2)),flip(a)]. 6439 T(T(T(x,y),z) * T(y,x),T(T(x,y),z)) = T(y,x) * R(T(T(x,y),z),y,x). [para(3794(a,1),6438(a,2,2))]. 6440 K(T(x,y),y \ (x * z)) = K(x,z / (x \ y)). [hyper(6276,a,6383,a),flip(a)]. 6441 K(x,(x * y) / z) = K(x,y / (x \ z)). [hyper(6111,a,6440,a)]. 6442 K(x,y / (x \ z)) = K(x,(z / y) \ x). [hyper(5687,a,6441,a),flip(a)]. 6443 K(x,(x \ y) / (x \ z)) = K(x,y / z). [para(17(a,1),6441(a,1,2,1)),flip(a)]. 6444 K(x,((x * y) / z) \ x) = K(x,z / y). [para(16(a,1),6442(a,1,2,2)),flip(a)]. 6445 K(x,(x \ y) / (z / x)) = K(x,y / z). [hyper(6226,a,6443,a)]. 6446 K(x,((y \ (x * z)) \ (x * z)) \ x) = K(x,T(y \ (x * z),y) / z). [para(3585(a,1),6444(a,1,2,1))]. 6447 K(x,(T((x * y) / z,u) \ (x * y)) \ x) = K(x,T(z \ (x * y),u) / y). [para(6305(a,1),6444(a,1,2,1))]. 6448 K(x,(x \ y) / z) = K(x,y / (z * x)). [para(18(a,1),6445(a,1,2,2))]. 6449 K(T(x,y),z \ (x \ y)) = K(x,y / (z * x)). [hyper(6084,a,6448,a)]. 6450 (x * K(y,z / (u * y))) \ x = K((y \ z) / u,y). [para(6448(a,1),3918(a,1,1,2))]. 6451 K((x \ y) / z,x) != u | K(y / (z * x),x) = u. [para(6450(a,1),3922(a,1))]. 6452 K(T(x,y),T(z,x \ u)) = K(T(x,y),T(z,u)). [hyper(6313,a,6043,a),flip(a)]. 6453 K(T(x,y),T(z,x * u)) = K(T(x,y),T(z,u)). [para(16(a,1),6452(a,1,2,2)),flip(a)]. 6454 L(K(x,K(y,z)),u,w) = K(L(K(x,y),u,w),z). [para(4829(a,1),5959(a,1,1)),flip(a)]. 6455 R(K(x,K(y,z)),u,w) = K(R(K(x,y),u,w),z). [para(4820(a,1),5960(a,1,1)),flip(a)]. 6456 K(R(K(x,y),z,u),w) = K(y,R(K(x,w),z,u)). [para(4820(a,1),5981(a,1,2)),flip(a)]. 6457 R(K(x,K(y,z)),u,w) = K(y,R(K(x,z),u,w)). [hyper(189,a,6455,a,b,6456,a(flip)),flip(a)]. 6458 R(K(x,K(y,z)),u,w) = K(x,R(K(y,z),u,w)). [para(5966(a,1),6457(a,1,1))]. 6459 R(K(x,K(y,z)),y,u) = K(x,K(y,z)). [para(3705(a,1),6458(a,2,2))]. 6460 R(K(x,K(y,z \ 1)),u,w) = K(x,K(y,R(z,u,w) \ 1)). [para(5667(a,1),6458(a,2,2))]. 6461 K(L(K(x,y),z,u),w) = K(y,L(K(x,w),z,u)). [para(4829(a,1),5982(a,1,2)),flip(a)]. 6462 K(T((x \ 1) \ 1,T(y,x)),z \ ((T(x,y) \ 1) * y)) = K((x \ 1) \ 1,((x \ 1) * T(y,x)) / z). [para(5148(a,2),6082(a,1,2,2))]. 6463 L(K(x,y),z,L(x,u,w)) = K(x,y). [hyper(5798,a,6147,a)]. 6464 K(L(x,y,L(x,z,u)),w) = K(x,w). [hyper(189,a,5541,a(flip),b,6463,a(flip)),flip(a)]. 6465 K(L(x,y,x),z) = K(x,z). [para(262(a,1),6464(a,1,1,3))]. 6466 K(R(x,y,x),z) = K(x,z). [para(4028(a,1),6465(a,1,1)),flip(a)]. 6467 K(x,y) * L(x,z,x) = L(T(x,y),z,x). [para(6465(a,1),4446(a,1,1))]. 6468 R(K(x,y),z,x) = K(x,y). [hyper(189,a,5749,a(flip),b,6466,a(flip)),flip(a)]. 6469 K((x \ y) \ T(y,x),z) = K(x,z). [para(3670(a,1),6466(a,1,1))]. 6470 K(x,R(y,z,y)) = 1 / K(y,x). [para(6466(a,1),3875(a,1,2)),flip(a)]. 6471 x * K(R(x,y,x),z) = T(x,z). [para(6466(a,2),4396(a,2,2)),flip(a)]. 6472 K(x,y) * R(x,z,x) = T(R(x,z,x),y). [para(6466(a,1),4403(a,2,1)),flip(a)]. 6474 R(K(x,y),z,x) = K(x,y * K(u,x)). [hyper(189,a,6177,a,b,6468,a)]. 6475 K(x,R(y,z,x)) = K(x,y). [hyper(189,a,5683,a(flip),b,6468,a(flip)),flip(a)]. 6476 (K(x,y) * z) * x = K(x,y) * (z * x). [para(6468(a,1),110(a,1,1)),flip(a)]. 6477 T(x,R(y,z,x)) = x * K(x,y). [para(6475(a,1),4396(a,2,2))]. 6478 (x * (K(y,x) * z)) * y = K(y,x) * ((x * z) * y). [para(6475(a,1),5038(a,1,1)),flip(a)]. 6479 K(x,R(y,z,y)) = K(x,y). [hyper(189,a,3875,a(flip),b,6470,a)]. 6480 K(x,R(y,z,y)) != u | K(x,y) = u. [para(6470(a,2),3880(a,1))]. 6481 K(x,R(T(y,z),u,y)) = K(x,T(y,z)). [para(6434(a,1),6479(a,1,2))]. 6482 T(x,R(y,z,x)) = T(x,y). [hyper(189,a,4396,a,b,6477,a)]. 6485 T(x,T(y / (z * x),z)) = T(x,z \ (y / x)). [para(519(a,1),6482(a,1,2))]. 6490 K(x,y * K(z,x)) != u | K(x,y) = u. [para(6474(a,1),273(a,1)),flip(b)]. 6491 K(x,T(R(y,z,y),u)) = K(x,T(y,u)). [para(45(a,1),6481(a,1,2))]. 6492 K(x,y * T(z,x)) != u | K(x,y * z) = u. [para(1078(a,1),6490(a,1,2))]. 6493 K(x,y \ T(z,x)) != u | K(x,y \ z) = u. [para(1077(a,1),6490(a,1,2))]. 6494 K(x,T(T(y,y * z),u)) = K(x,T(T(y,z),u)). [para(3609(a,1),6491(a,1,2,1)),flip(a)]. 6495 K(x,y) * L(T(y,x),z,y) = L(y,z,y). [hyper(3907,a,6467,a)]. 6496 K(x,y) * R(x,z,x) = R(T(x,y),z,x). [hyper(189,a,45,a,b,6472,a)]. 6497 L(x,y,K(x,z)) = x. [hyper(5798,a,6476,a)]. 6498 (K(x,y) * (z * x)) \ (K(x,y) * z) != u | L(x \ 1,x,K(x,y) * z) = u. [para(6476(a,1),310(a,1,1))]. 6499 K(x \ y,x) * ((z / (x \ y)) * (x \ y)) = T(z / (y / x),K(x,y)) * (x \ y). [para(6017(a,1),6476(a,1,1)),flip(a)]. 6500 L(R(x,y,z),u,K(x,w)) = R(x,y,z). [para(6497(a,1),47(a,1,1)),flip(a)]. 6501 L(L(x,y,z),u,K(x,w)) = L(x,y,z). [para(6497(a,1),48(a,1,1)),flip(a)]. 6502 (K(x,y) * z) * R(x,u,w) = K(x,y) * (z * R(x,u,w)). [para(6497(a,1),351(a,1,2,1))]. 6503 (K(x,y) * z) * L(x,u,w) = K(x,y) * (z * L(x,u,w)). [para(6497(a,1),352(a,1,2,1))]. 6504 L(K(x,y),z,K(x,u)) = K(x,y). [para(6497(a,1),5540(a,1,1)),flip(a)]. 6505 L(K(x,y),z,K(y,u)) = K(x,y). [para(6497(a,1),5891(a,1,2)),flip(a)]. 6506 L(T(K(x,y),z),u,K(x,w)) = T(K(x,y),z). [para(6504(a,1),43(a,2,1))]. 6507 L(R(K(x,y),z,u),w,K(x,v5)) = R(K(x,y),z,u). [para(6504(a,1),47(a,1,1)),flip(a)]. 6508 (K(x,y) * z) * K(x,u) = K(x,y) * (z * K(x,u)). [para(6504(a,1),102(a,1,2))]. 6509 (K(x,y) * z) * K(u,x) = K(x,y) * (z * K(u,x)). [para(6505(a,1),102(a,1,2))]. 6510 (K(x,y) * z) \ (K(x,y) * T(x * z,x)) = R(x,z,x). [hyper(189,a,3671,a,b,6500,a(flip)),flip(a)]. 6511 L(x,y,T(x,z)) = L(x,y,x). [hyper(5107,a,6501,a)]. 6512 L(x,y,K(z,x)) = x. [hyper(4042,a,6501,a)]. 6515 K(x,y) * (T(z,K(x,y)) * y) = (z * K(x,y)) * y. [para(6512(a,1),353(a,1,2)),flip(a)]. 6516 L(K(x,y),z,K(u,y)) = K(x,y). [para(6512(a,1),5891(a,1,2)),flip(a)]. 6518 L(T(x,y),z,T(x,u)) = T(L(x,z,x),y). [para(6511(a,1),43(a,2,1))]. 6520 L(x * K(y,x),z,x * K(y,x)) = L(x * K(y,x),z,x). [para(4374(a,1),6511(a,1,3)),flip(a)]. 6521 K(L(x,y,K(z,u)),u) = K(x,u). [hyper(189,a,5541,a(flip),b,6516,a(flip)),flip(a)]. 6522 (K(x,y) * z) * K(u,y) = K(x,y) * (z * K(u,y)). [para(6516(a,1),102(a,1,2))]. 6523 K(x \ (K(y,z) * u),z) = K(x \ u,z). [hyper(189,a,6416,a(flip),b,6521,a(flip)),flip(a)]. 6524 T(x,L(y,z,K(u,x))) = (K(y,x) / x) \ 1. [para(6521(a,1),4417(a,2,1,1))]. 6525 (x / L(T(y,z),u,y)) * K(y,z) = x / L(y,u,y). [para(6495(a,1),5840(a,1,2)),flip(a)]. 6526 R(x,y,x) * K(x,z) = R(T(x,z),y,x). [hyper(2657,a,6496,a)]. 6527 T(x,y) \ R(T(x,y),z,x) = x \ R(x,z,x). [hyper(75,a,6496,a(flip),b,4377,a)]. 6528 L(T(x,y),z,T(x,u)) = L(T(x,y),z,x). [hyper(189,a,43,a,b,6518,a)]. 6531 K(x \ (K(y,z) * u),y) = K(x \ u,y). [para(3887(a,1),6523(a,1,1,2)),flip(a)]. 6532 K(x \ ((y \ z) * y),y) = K(x \ z,y). [para(4291(a,1),6523(a,1,1,2))]. 6533 K(x \ (y / z),y / z) = K(x \ (z \ y),y / z). [para(4312(a,1),6523(a,1,1,2))]. 6535 K(x \ (y * z),z) = K(x \ (z * y),z). [para(4373(a,1),6523(a,1,1,2))]. 6536 K(x \ (T(y,z) \ u),y) = K(x \ (y \ u),y). [para(4558(a,1),6523(a,1,1,2))]. 6538 R(x,y,x) * (K(x,z) * u) = R(T(x,z),y,x) * u. [para(6526(a,1),3659(a,1,1)),flip(a)]. 6540 K(x \ (T(y,z) * (y \ u)),y) = K(x \ u,y). [para(4377(a,2),6531(a,1,1,2))]. 6541 K(x \ (K(y,z) * u),T(y,w)) = K(x \ u,T(y,w)). [para(6027(a,1),6531(a,1,1,2,1))]. 6542 K((x / y) \ z,T(z,y)) = K(x \ (y * z),z). [hyper(189,a,5617,a,b,6535,a),flip(a)]. 6543 T(K(x,y),K(x,z) * u) = T(K(x,y),u). [hyper(189,a,5036,a(flip),b,6506,a(flip)),flip(a)]. 6545 T(K(x,y),K(z,x) * u) = T(K(x,y),u). [para(3887(a,1),6543(a,1,2)),flip(a)]. 6546 T(K(x,y),z * K(u,x)) = T(K(x,y),z). [para(6052(a,1),6543(a,1,2)),flip(a)]. 6547 T(K(x,y),z * L(K(u,x),w,v5)) = T(K(x,y),z). [para(4829(a,1),6546(a,1,2,2))]. 6548 T(x,L(y,z,K(u,x))) = T(x,y). [hyper(189,a,4417,a,b,6524,a)]. 6549 T(x,(K(y,x) * z) \ (K(y,x) * u)) = T(x,z \ u). [para(104(a,1),6548(a,1,2))]. 6550 T(x,(y * x) \ z) = T(x,y \ (z / x)). [hyper(189,a,6393,a(flip),b,6485,a(flip)),flip(a)]. 6551 T(x,(y * x) \ z) = T(x,y \ (x \ z)). [hyper(189,a,6188,a(flip),b,6550,a)]. 6552 T(x,L(x \ y,x,z)) = T(x,z \ (x \ (z * y))). [para(104(a,2),6551(a,1,2))]. 6553 K(x,T(T(y,z),u * y)) = K(x,T(T(y,u),z)). [para(3511(a,1),6494(a,1,2))]. 6554 K(T(x,y),z \ (T(x,u) * (x \ w))) = T(x * K(z \ w,x),y) \ T(x,y). [para(6540(a,1),4660(a,1,1,1,2)),flip(a)]. 6555 K(x \ ((y \ x) * z),z) = K(y \ z,T(z,y \ x)). [para(67(a,1),6542(a,1,1,1)),flip(a)]. 6556 K(x * y,T(T(x,y),z)) = K(x * y,T(x,z)). [hyper(6104,a,6553,a),flip(a)]. 6557 K(x,T(T(y,z),u * y)) = K(x,T(T(y,z),u)). [para(41(a,1),6553(a,2,2))]. 6558 R(T(x,y),z,x) / T(T(x,z),y) = K(x * z,T(x,y)). [hyper(189,a,4938,a,b,6556,a(flip)),flip(a)]. 6559 K(x,T(T(y,z),u \ 1)) = K(x,T(T(y,z),u \ y)). [para(3692(a,1),6557(a,1,2)),flip(a)]. 6560 T(K(x,y),z * (u * K(w,x))) = T(K(x,y),z * u). [para(102(a,1),6547(a,1,2))]. 6561 T(K(x,y) * z,K(x,u)) = K(x,y) * T(z,K(x,u)). [hyper(147,a,6508,a,b,5829,a)]. 6563 T((K(x,y) * K(z,x)) \ (K(x,y) * (u * K(z,x))),K(x,y)) = R(T(u,K(x,y) * K(z,x)),K(x,y),K(z,x)). [para(6509(a,1),832(a,1,1,2))]. 6564 K(x,y) * (z * K((u * w) / u,x)) = (K(x,y) * z) * K(w,T(x,u)). [para(6034(a,1),6509(a,1,2)),flip(a)]. 6565 T(x * y,K(z,y)) = T(x,K(z,y)) * y. [hyper(5246,a,6515,a)]. 6566 T(x * (y \ z),K(y,y \ z)) = T(x,K(y,z)) * (y \ z). [para(6015(a,1),6565(a,2,1))]. 6567 K(x,y) * (K(z,x) * (u * K(y,x))) = T(K(z,x) * u,K(x,y)). [para(6522(a,1),6122(a,1,2))]. 6568 R(K(x \ (y \ z),z / y),z / y,y) = K(z / (x * y),z / y). [para(6533(a,1),5765(a,1,1))]. 6570 K(x \ (y * z),T(z,u)) = K(x \ (z * y),T(z,u)). [para(4373(a,1),6541(a,1,1,2)),flip(a)]. 6571 K(x \ (T(y,z) \ u),T(y,w)) = K(x \ (y \ u),T(y,w)). [para(4541(a,1),6541(a,1,1,2)),flip(a)]. 6572 T(x,y \ (K(z,x) * u)) = T(x,y \ u). [hyper(189,a,6428,a(flip),b,6549,a(flip)),flip(a)]. 6574 T(x,y \ (z * x)) = T(x,y \ (x * z)). [para(4373(a,1),6572(a,1,2,2))]. 6575 L(x,y,z) \ L(T(x,u \ (x * w)),y,z) = K(L(x,y,z),u \ (w * x)). [para(6574(a,1),4397(a,1,2,1))]. 6576 T(x * K(y,z),K(z,u)) = T(x,K(z,u)) * K(y,z). [hyper(4992,a,6561,a),flip(a)]. 6577 T(K(x,K(y,z)) * u,K(x,w)) = K(z,K(x,y)) * T(u,K(x,w)). [para(5969(a,1),6561(a,2,1))]. 6578 K(x \ (((y \ 1) \ 1) * z),T(z,u)) = K(x \ (z * y),T(z,u)). [hyper(189,a,5567,a(flip),b,6570,a)]. 6579 (K(x,y) * z) \ T(K(x,y) * (x * z),x) = R(x,z,x). [para(6342(a,2),6510(a,1,2))]. 6580 R(T(x,y),z,x) / T(T(x,y),z) = K(x * z,T(x,y)). [para(41(a,1),6558(a,1,2))]. 6581 (K(x,y) * z) \ T(T(x,y) * z,x) = R(x,z,x). [para(4407(a,1),6579(a,1,2,1))]. 6582 R(x,K(x,y) * z,x) = R(x,z,x). [hyper(4546,a,6581,a)]. 6583 R(x \ y,(y / x) \ z,x \ y) = R(x \ y,(x \ y) \ z,x \ y). [para(4308(a,1),6582(a,1,2))]. 6584 K(x * y,T(T(y,z),x)) = K(y * x,T(y,z)). [hyper(189,a,4958,a(flip),b,6580,a(flip)),flip(a)]. 6585 K(x * y,T(T(y,x),z)) = K(y * x,T(y,z)). [para(41(a,1),6584(a,1,2))]. 6586 K(x * (y / (y / z)),T(T(y / (y / z),x),z \ y)) = K((y / (y / z)) * x,z). [para(3573(a,1),6585(a,2,2))]. 6587 L(K(x,y),z,R(x,u,w)) = K(x,y). [hyper(5798,a,6148,a)]. 6588 K(L(x,y,R(x,z,u)),w) = K(x,w). [hyper(189,a,5541,a(flip),b,6587,a(flip)),flip(a)]. 6589 K(x \ y,T(z,x)) = K(y / (x * K(z,u)),z). [hyper(189,a,6410,a(flip),b,6165,a(flip)),flip(a)]. 6590 K(x / (y * K(z,u)),z) = K(x / y,z). [hyper(6102,a,6589,a),flip(a)]. 6592 K(x / (K(y,z) * u),z) = K(x / u,z). [para(5348(a,1),6590(a,1,1,2)),flip(a)]. 6593 T(x,y / (K(z,x) * u)) = 1 / (x \ K(y / u,x)). [para(6592(a,1),4466(a,2,2,2))]. 6594 T(x,y / (K(z,x) * u)) = T(x,y / u). [hyper(189,a,4466,a,b,6593,a)]. 6595 T(x,((y * K(z,x)) * u) / u) = T(x,R(y,K(z,x),u)). [para(33(a,2),6594(a,1,2)),flip(a)]. 6596 T(x,R(y,K(z,x),u)) = T(x,y * K(z,x)). [para(18(a,1),6595(a,1,2)),flip(a)]. 6597 T(x,R(y,K(z,x),u)) = T(x,y). [hyper(189,a,6159,a(flip),b,6596,a)]. 6600 K(x,R(y,K(z,x),u)) = x \ T(x,y). [hyper(75,a,6597,a(flip),b,4396,a(flip)),flip(a)]. 6601 K(x,R(y,K(z,x),u)) = K(x,y). [hyper(189,a,4360,a,b,6600,a)]. 6602 K(x,R(R(y,K(z,x),u),w,v5)) = K(x,R(y,w,v5)). [para(49(a,1),6601(a,1,2))]. 6603 R(K(x,y),(y * K(z,x)) * u,w) = K(x,R(R(y,K(z,x),u),K(z,x) * u,w)). [para(6601(a,1),5684(a,1,1))]. 6604 K(T(x,y) \ K(z,x),T(x,y)) = K(x \ 1,x). [hyper(189,a,2909,a(flip),b,6242,a)]. 6606 (T(x,y) \ K(z,x)) * T(x,y) = K(z,x) * K(x \ 1,x). [para(6604(a,1),213(a,1,2)),flip(a)]. 6607 (x * (K(y,z) * u)) * K(y,K(z,u)) = x * (u * K(y,z)). [para(5969(a,2),6260(a,1,2))]. 6608 ((x * (y * K(z,y))) / x) / ((x * y) / x) = K(T(z,x),y). [para(4375(a,1),6270(a,1,1,1,2))]. 6609 K(x,K(y,z)) * (T(z,y) * u) = T(z,T(y,x)) * u. [para(6326(a,1),6282(a,2,1))]. 6610 K(L(x,y / T(x,z),u),w) = L(K(x,w),y,u). [para(6027(a,1),6287(a,1,1)),flip(a)]. 6611 L(K(x,y),z * K(u,x),w) = L(K(x,y),z,w). [hyper(189,a,5545,a,b,6610,a(flip)),flip(a)]. 6612 L(K(x,y),T(z,x),u) = L(K(x,y),z,u). [hyper(189,a,5542,a(flip),b,6610,a(flip)),flip(a)]. 6613 L(K(x,y),x * z,u) = K(L(x,z,u),y). [para(129(a,1),6610(a,1,1,2)),flip(a)]. 6614 K(L(x,x \ y,z),u) = L(K(x,u),y,z). [para(174(a,1),6610(a,1,1,2))]. 6617 K(L(x,y,z),x * y) = K(x,x * y). [hyper(5327,a,6613,a),flip(a)]. 6618 K(L(x,y,z),(z \ u) \ (x * y)) = K(x,u \ (z * (x * y))). [hyper(189,a,5915,a(flip),b,6613,a(flip))]. 6619 K(L(x,T(x,y) \ 1,z),u) = L(K(x,u),K(y,x),z). [para(4358(a,2),6613(a,1,2)),flip(a)]. 6620 K(L(x,x \ 1,y),z) = K(x,z). [hyper(189,a,262,a(flip),b,6614,a)]. 6621 K(T(x,y),T(z,y)) = K(L(x,T(x,y) \ 1,u),z). [hyper(6108,a,6620,a),flip(a)]. 6623 L(K(x,y),z / K(x,y),u) \ (u * z) = T(u * (z * K(y,x)),L(K(x,y),z,u)). [para(6611(a,1),5823(a,1,2)),flip(a)]. 6624 K(L(x,T(x,y) \ 1,z),u) != w | K(x,u) = w. [para(6621(a,1),6101(a,1))]. 6625 L(K(x,y),K(z,x),u) = K(x,y). [hyper(6624,a,6619,a),flip(a)]. 6626 (x * K(y,z)) * K(z,u) = x * (K(y,z) * K(z,u)). [para(6625(a,1),102(a,1,2))]. 6627 (x * (K(y,z) * K(z,u))) * K(u,z) = x * K(y,z). [hyper(3929,a,6626,a)]. 6628 R(x,K(y,z),K(z,u)) = x. [hyper(376,a,6626,a)]. 6629 (x * K(y,z)) * K(z,u) = x * (K(z,u) * K(y,z)). [para(1959(a,2),6626(a,2,2))]. 6630 R(x,T(K(y,z),u),K(z,w)) = x. [para(1379(a,1),6628(a,1,2))]. 6631 R(x,L(K(y,z),u,w),K(z,v5)) = x. [para(4829(a,1),6628(a,1,2))]. 6632 R(x,T(K(y,z),u),T(K(z,w),v5)) = x. [para(4847(a,1),6630(a,1,3))]. 6633 (x * y) \ ((x * (y * K(z,u))) * K(u,w)) = L(K(z,u),y,x) * K(u,w). [para(6631(a,1),400(a,1,1))]. 6634 T(K(x,y),z) * T(K(y,u),K(x,y) * z) = z \ (K(y,u) * (K(x,y) * z)). [para(6632(a,1),730(a,1,1)),flip(a)]. 6635 x * T(K(y,z),u) != w | w * T(K(z,y),u) = x. [para(6632(a,1),5642(a,1)),flip(a)]. 6636 L(K(x,y),K(z,y),u) = K(x,y). [hyper(5928,a,6627,a)]. 6638 (x * (K(y,z) * K(u,y))) * K(z,y) = x * K(u,y). [para(1959(a,2),6627(a,1,1,2))]. 6639 (x * K(y,z)) * K(u,z) = x * (K(y,z) * K(u,z)). [para(6636(a,1),102(a,1,2))]. 6640 (x * K(y,z)) * (K(z,y) * K(u,y)) = x * K(u,y). [para(6636(a,1),3934(a,1,2)),flip(a)]. 6641 (x / (y * K(z,y))) * R(y * K(z,y),z,L(y,u,w)) = x * (K(y,z) * K(z * L(y,u,w),y)). [hyper(189,a,5864,a,b,6629,a(flip)),flip(a)]. 6642 (x * K(y,z)) * (K(y,u) * K(z,y)) = x * K(y,u). [para(3919(a,1),6629(a,1,1)),flip(a)]. 6643 (x / y) * (K(y,z) * K(u,y)) = (x / T(y,u)) * K(y,z). [para(5178(a,1),6629(a,1,1)),flip(a)]. 6644 (x * (K(y,z) * K(u,y))) * (K(z,y) * K(y,u)) = x. [hyper(21,a,6627,a,b,6638,a(flip)),flip(a)]. 6646 (x * K(y,z)) * K(z,u) != w | x * (K(z,u) * K(y,z)) = w. [para(6638(a,1),3921(a,1,1)),flip(b)]. 6647 (x * K(y,z)) * (K(u,y) * K(z,y)) = x * K(u,y). [para(3963(a,1),6640(a,1,2))]. 6648 (x * K(y,z)) \ (x * K(y,u)) = K(y,u) * K(z,y). [hyper(80,a,6642,a)]. 6649 L((K(x,y) * K(z,x)) \ 1,K(x,y) * K(z,x),u) = K(y,x) * K(x,z). [hyper(308,a,6644,a)]. 6650 x / (K(y,z) * K(z,u)) != w | x * (K(z,y) * K(u,z)) = w. [para(6644(a,1),248(a,1,1)),flip(b)]. 6651 ((x * K(y,z)) * K(u,y)) * K(z,y) = x * K(u,y). [hyper(189,a,6639,a,b,6647,a(flip)),flip(a)]. 6652 (K(x,y) * z) \ (z * K(x,u)) = K(x,u) * K(T(y,z),x). [para(5345(a,1),6648(a,1,1))]. 6653 (x * K(y,z)) * K(u,y) = (x * K(u,y)) * K(y,z). [hyper(3929,a,6651,a),flip(a)]. 6654 (x * K(y,z)) * K(u,y) = x * (K(y,z) * K(u,y)). [hyper(21,a,6638,a,b,6651,a)]. 6655 ((x * K(y,z)) * K(u,y)) * y = (x * K(u,y)) * T(y,z). [para(6651(a,1),5146(a,1,1)),flip(a)]. 6656 R(x,K(y,z),K(u,y)) = x. [hyper(376,a,6654,a)]. 6657 ((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(2539(a,1),6654(a,1,1))]. 6658 K(K(x,y) * T(y,z),T(u,z)) = K(y,T(u,T(x,z))). [hyper(189,a,6046,a(flip),b,6292,a)]. 6659 K(K(x,y) * T(y,z),T(u,z)) != w | K(y,T(u,T(x,z))) = w. [para(6292(a,2),6267(a,1))]. 6660 K(T(x * K(y \ (z * x),x),x),u) = K(x,T(u,T(z \ y,x) \ x)). [para(5535(a,1),6295(a,1,1,1,2))]. 6661 K(R(T(x,y * z),u,w),z) = K(R(T(x,z * y),u,w),z). [para(45(a,2),6298(a,2,1))]. 6662 K(x,K(y,z)) * (T(y,u) * x) = T(T(y,u) * x,K(y,z)). [para(5969(a,1),6335(a,1,1))]. 6663 T(x,K(y,x \ z)) = T(x,K(z,y)). [hyper(21,a,5993,a,b,6366,a),flip(a)]. 6664 T(x,K(y,x \ z)) = T(x,K(y,z)). [hyper(189,a,6118,a,b,6663,a)]. 6665 T(x,K(y,x \ z)) != u | T(x,K(y,z)) = u. [para(6663(a,2),6121(a,1))]. 6666 T(x,K(y,x * z)) = T(x,K(y,z)). [para(16(a,1),6664(a,1,2,2)),flip(a)]. 6667 T(x,K(y,x * z)) = T(x,K(z,y)). [hyper(189,a,6118,a,b,6666,a)]. 6668 T(x,K(y,z)) * K(y,z * x) = K(y,z * x) * x. [para(6666(a,1),6285(a,1,1))]. 6669 T(x,K(y,z * x)) = T(x,K(z,y)). [hyper(189,a,6284,a,b,6667,a(flip)),flip(a)]. 6670 T(T(x,y),K(z,x * u)) = T(T(x,K(u,z)),y). [para(6667(a,1),41(a,1,1)),flip(a)]. 6671 K(x * y,T(y,K(x,z))) = K(x * y,y). [para(6669(a,1),5342(a,1,2))]. 6672 K(x * R(y,z,u),R(T(y,K(x,w)),z,u)) = K(x * R(y,z,u),R(y,z,u)). [para(45(a,2),6671(a,1,2))]. 6673 K(R(x,y / x,z),T(u,x \ y)) = K((y * z) / ((y / x) * z),u). [para(111(a,1),6379(a,1,1)),flip(a)]. 6674 K(T(x,y * K(z,y)),u) = K(x * K(T(x,z),y),u). [hyper(189,a,4356,a,b,6381,a)]. 6675 K(T(x * K(x * y,x),z * K(y * x,z)),u) = K((x * K(x * y,x)) * K(x,z),u). [para(4620(a,1),6674(a,2,1,2,1))]. 6676 K(T(x,y * K(z * x,y)),u) = K(x * K(T(x,z),y),u). [para(5384(a,1),6674(a,2,1,2))]. 6677 K(K(x,y) * z,z \ x) = K(z,z \ T(x,y)). [hyper(189,a,5862,a(flip),b,6382,a(flip))]. 6678 (K(x,y) * z) * K(z,z \ T(x,y)) = T(K(x,y) * z,z \ x). [para(6677(a,1),4396(a,2,2)),flip(a)]. 6679 (((x * (y * x)) / x) / y) * (z / (((x * (y * x)) / x) / y)) = z * K(((x * (y * x)) / x) / y,T(x,y * x) \ z). [para(1473(a,1),6385(a,1,2,2,1)),flip(a)]. 6680 T(x * K(y,x),T(y * x,y)) = L(x,y,x). [hyper(189,a,3597,a(flip),b,6395,a)]. 6681 T(x * K(y,x),T(x * y,y)) = L(x,y,x). [hyper(189,a,5027,a(flip),b,6680,a(flip)),flip(a)]. 6682 K(x,y) * T(x * K(z,x),T(z,y)) = T(x,T(y,z)). [hyper(4586,a,6421,a(flip))]. 6683 x * (T(y,T(z,x)) * K(z,y)) = T(x,y) * T(y,T(x,z)). [para(5354(a,1),6421(a,1,2))]. 6684 K(x,y) * T(x * K(z \ y,x),T(z \ y,y)) = T(x,z * ((y * (z \ y)) / y)). [para(3330(a,2),6682(a,2,2))]. 6685 K(x,y) * T(x,K(z,y)) = T(x,T(y,z)). [para(6322(a,1),6682(a,1,2))]. 6686 K(x,L(y,z / T(y,u),w)) = L(K(x,y),z,w). [para(6027(a,1),6433(a,1,1)),flip(a)]. 6687 L(K(x,y),y * z,u) = K(x,L(y,z,u)). [para(129(a,1),6686(a,1,2,2)),flip(a)]. 6689 K(x * y,L(x,y,z)) = K(x * y,x). [hyper(5898,a,6687,a),flip(a)]. 6690 (x * (y * z)) * K(u,L(y,z,x)) = x * ((y * z) * K(u,y)). [para(6687(a,1),102(a,1,2))]. 6691 R(K(x,y),z,R(x,u,w)) = K(x,y). [hyper(376,a,6502,a)]. 6692 K(x,y) * ((y * x) * R(x,z,u)) = (x * y) * R(x,z,u). [para(4373(a,1),6502(a,1,1)),flip(a)]. 6693 (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(6502(a,1),4544(a,1,1,2))]. 6694 K(R(x,y,R(x,z,u)),w) = K(x,w). [hyper(189,a,5746,a(flip),b,6691,a(flip)),flip(a)]. 6695 K(x,y) * R(x,z,R(x,u,w)) = T(R(x,z,R(x,u,w)),y). [para(6694(a,1),4403(a,2,1)),flip(a)]. 6696 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(6694(a,1),4624(a,1,1,1)),flip(a)]. 6697 R(K(x,y),z,L(x,u,w)) = K(x,y). [hyper(376,a,6503,a)]. 6698 K(R(x,y,L(x,z,u)),w) = K(x,w). [hyper(189,a,5746,a(flip),b,6697,a(flip)),flip(a)]. 6699 K(T(x,y),T(z,y)) = K(R(x,u,L(T(x,y),w,v5)),z). [hyper(6105,a,6698,a),flip(a)]. 6700 K(x,y) * R(x,z,L(x,u,w)) = T(R(x,z,L(x,u,w)),y). [para(6698(a,1),4403(a,2,1)),flip(a)]. 6701 K(R(x,y,L(T(x,z),u,w)),v5) = K(x,v5). [hyper(6101,a,6699,a),flip(a)]. 6703 T(x,R(y,z,L(T(y,u),w,v5))) = (K(y,x) / x) \ 1. [para(6701(a,1),4417(a,2,1,1))]. 6704 T(x,R(y,z,L(T(y,u),w,v5))) = T(x,y). [hyper(189,a,4417,a,b,6703,a)]. 6705 T(x,R(y,z,y)) = T(x,y). [para(5291(a,1),6704(a,1,2,3))]. 6706 R(x,y,x) * T(z,x) = z * R(x,y,x). [para(6705(a,1),113(a,1,2))]. 6707 T(x,T(y,y \ z)) = T(x,T(y,z)). [para(3694(a,1),6705(a,1,2))]. 6708 T(x * K(y \ z,x),T(y \ z,y)) = T(x * K(y,x),T(y,z)). [hyper(189,a,6402,a,b,6707,a(flip)),flip(a)]. 6709 T(x,T(y,z \ 1)) = T(x,T(y,z \ y)). [para(3749(a,1),6707(a,1,2))]. 6710 R(x,y,x) * (x \ z) = (z / x) * R(x,y,x). [para(115(a,1),6706(a,1,2))]. 6712 (R(x,y,x) * (x \ z)) \ (z * R(x,y,x)) = x. [para(6710(a,2),1647(a,1,1))]. 6713 R(x,x \ y,x) * (x \ z) = (z / x) * ((x \ y) \ T(y,x)). [para(3670(a,1),6710(a,2,2))]. 6714 T(L(L(x * K(y,x),y,x),z,u) * y,x * K(y,x)) = L(x * K(y,x),z,u) * T(y,x). [para(6520(a,1),3850(a,1,1,1,1))]. 6715 T(x * (y \ z),K(y,z)) = T(x,K(y,z)) * (y \ z). [hyper(6016,a,6566,a)]. 6716 T(x * (y \ z),K(z,y)) = T(x,K(y,z)) * (y \ z). [hyper(6121,a,6715,a)]. 6717 T(x * (y \ z),K(z,y)) = T(x,K(z,y)) * (y \ z). [para(6118(a,1),6716(a,2,1))]. 6718 (T(x,y) \ K(z,x)) * T(x,y) = (T(x,z) \ 1) * x. [hyper(189,a,4633,a(flip),b,6606,a)]. 6719 T((T(x,y) \ K(z,x)) * T(x,y),T(x,u)) = (T(x,z) \ 1) * x. [hyper(4186,a,6718,a)]. 6720 K(T(x,y),z) * ((y * z) / y) = (y * (z * K(x,z))) / y. [para(6608(a,1),19(a,1,1))]. 6721 K(T(x,y),z) * (z * K(y,z)) = (y * (z * K(x,z))) / y. [para(6608(a,1),4664(a,1,1))]. 6722 (x / y) * (K(y,z) * K(u,y)) = x / (T(y,u) * K(z,y)). [hyper(189,a,5522,a,b,6643,a)]. 6723 (K(x,y) * z) \ (z * K(x,u)) = K(x,u) * K(y,T(x,z)). [hyper(189,a,5390,a(flip),b,6652,a)]. 6724 (x * K(y,z)) * (y * K(u,y)) = (x * K(u,y)) * T(y,z). [hyper(5292,a,6655,a)]. 6725 T(T(x,y) * z,K(x,u)) = T(x,y) * T(z,K(x,u)). [hyper(189,a,5461,a(flip),b,6662,a(flip))]. 6726 T(x,y) * T(z,K(x,y)) = (x * z) * K(x,y). [hyper(4806,a,6725,a),flip(a)]. 6727 T(x * y,K(x,z)) = x * T(y,K(x,z)). [hyper(147,a,6726,a(flip),b,4407,a)]. 6729 K(x,y) * ((y * R(x,z,u)) * x) = (x * y) * R(x,z,u). [para(1643(a,2),6692(a,1,2))]. 6730 K(x,y) * R(x,z,R(x,u,w)) = R(T(x,y),z,R(x,u,w)). [hyper(189,a,45,a,b,6695,a)]. 6731 K(x,y) * R(x,z,L(x,u,w)) != v5 | R(T(x,y),z,L(x,u,w)) = v5. [para(6700(a,2),5484(a,1))]. 6732 ((x * y) / x) / ((x * (y * K(z,y))) / x) = K(y,T(z,x)). [para(6720(a,1),3905(a,1,2))]. 6733 ((x * y) / x) / ((x * (y * K(z,y))) / x) != u | K(y,T(z,x)) = u. [para(6720(a,1),3910(a,1,2))]. 6734 (x * K(y,x)) * K(T(z,y),x) = (y * (x * K(z,x))) / y. [hyper(189,a,3964,a(flip),b,6721,a(flip)),flip(a)]. 6735 (x / y) * (K(y,z) * K(y * z,y)) = x / L(y,z,y). [para(4627(a,1),6722(a,2,2))]. 6736 (K(x,y) * z) \ (K(x,u) * z) = K(x,T(u,z)) * K(y,T(x,z)). [para(5345(a,1),6723(a,1,2))]. 6737 (x * K(y,z)) * (y * K(u,y)) = x * (K(u,y) * T(y,z)). [hyper(189,a,5296,a(flip),b,6724,a)]. 6738 K(x,y) * (x \ R(x,z,R(x,u,w))) = x \ R(T(x,y),z,R(x,u,w)). [hyper(75,a,6730,a(flip),b,4552,a),flip(a)]. 6739 K(x,y) * ((y * R(x,z,R(x,u,w))) * x) = (y * R(T(x,y),z,R(x,u,w))) * x. [para(6730(a,1),6478(a,1,1,2)),flip(a)]. 6740 (x * K(y,z)) * (y * K(u,y)) = x * (T(y,z) * K(u,y)). [para(2759(a,2),6737(a,2,2))]. 6741 L(K(x,T(T(y,z),u * z)),z,u) = (u * (K(x,y) * z)) / (u * z). [para(5345(a,1),6025(a,1,1,2)),flip(a)]. 6742 L(T(x,y),z,u) \ (x * K(L(x,z,u),y)) = L(x,z,u) \ x. [hyper(80,a,6124,a)]. 6744 x \ R(x,y * K(x,z),x) = K(x,y) * K(y * x,x). [para(6199(a,1),6180(a,2,2))]. 6745 x \ R(x,y * K(x,z),x) = x \ R(x,y,x). [hyper(189,a,4696,a(flip),b,6744,a)]. 6747 T(K(T(x,y \ 1),(1 / y) \ 1),z) = K(x,K(1 / y,z) / (1 / y)). [hyper(6275,a,6300,a(flip)),flip(a)]. 6748 K(L(x,y,L(x,z,u)),T(w,L(x,z,u) * y)) = K(x,T(w,y)). [hyper(6107,a,6288,a),flip(a)]. 6749 R(K(x,y),z * y,u) = K(T(x,z),R(T(y,z),z,u)). [hyper(189,a,5676,a(flip),b,6400,a(flip)),flip(a)]. 6750 R(K(x,y),z * y,u) != w | K(x,R(y,z,u)) = w. [para(6749(a,2),6110(a,1))]. 6751 K(R(x,y,z),y) = K(x,R(y,x,z)). [hyper(6750,a,5746,a),flip(a)]. 6752 K(R(x,y,z),y) != u | K(x,R(y,x,z)) = u. [para(5746(a,1),6750(a,1))]. 6753 R(K(x,y),z * (y * K(u,x)),w) != v5 | K(x,R(y * K(u,x),z,w)) = v5. [para(6177(a,1),6750(a,1,1))]. 6754 x * K(R(x,y,z),y) = T(x,R(y,x,z)). [para(6751(a,2),4396(a,2,2)),flip(a)]. 6755 K(T(x,y),y \ z) = K(x,z / (y * K(u,x))). [hyper(6430,a,6169,a)]. 6756 K(x,y / (z * K(u,x))) = K(x,y / z). [hyper(6111,a,6755,a),flip(a)]. 6757 K(x,y / (z * x)) = K(x,y / (x * z)). [para(95(a,1),6756(a,1,2,2))]. 6758 K(x,y / ((z * y) * x)) = K(x,z \ (x \ 1)). [hyper(189,a,5699,a(flip),b,6757,a)]. 6759 K(x,R(y / x,x,z)) = K(x,(y * z) / (z * x)). [para(111(a,2),6757(a,2,2)),flip(a)]. 6760 K(x,y / (((x \ 1) * z) * x)) = K(x,y / L(z,x \ 1,x)). [para(166(a,1),6757(a,2,2,2))]. 6761 K(x,(y / z) \ (x \ 1)) = K(x,z / (y * x)). [para(19(a,1),6758(a,1,2,2,1)),flip(a)]. 6762 K(x,R(x \ y,x,z)) = K(x,(y * z) / (z * x)). [hyper(189,a,3893,a(flip),b,6759,a(flip)),flip(a)]. 6763 K(L(x,y * z,u),(u \ (u * (x * y))) \ (x * (y * z))) = K(x,L(L(z,y,x),x * y,u)). [para(348(a,1),6618(a,2,2))]. 6764 (x * K(y,z)) * K(u,y) != w | x * (K(y,z) * K(u,y)) = w. [para(6653(a,2),6646(a,1))]. 6765 K(x,L(y,z,x)) = K(x,y). [hyper(6143,a,6690,a),flip(a)]. 6767 K(x,L(L(y,z,x),u,w)) = K(x,L(y,u,w)). [para(48(a,1),6765(a,1,2))]. 6768 K(x,(x * y) \ z) = K(x,y \ (x \ z)). [para(183(a,1),6765(a,1,2))]. 6769 T(x,L(y,z,x)) = K(x,y) * x. [para(6765(a,1),4403(a,2,1))]. 6770 K(L(x,y,z),L(u,w,x)) = L(K(x,u),y * x,z). [para(6765(a,1),5541(a,1,1)),flip(a)]. 6771 T(x,L(y,z,x)) = T(x,y). [hyper(189,a,4403,a,b,6769,a)]. 6772 T(x,(x \ y) \ z) = T(x,y \ (x * z)). [para(359(a,1),6771(a,1,2)),flip(a)]. 6773 T(x,L(y \ 1,x * y,z)) = T(x,(z * (x * y)) \ (z * x)). [para(707(a,1),6771(a,1,2)),flip(a)]. 6774 K(x,K(y,y \ x) \ (x \ z)) = K(x,(y * (x / y)) \ z). [para(3903(a,1),6768(a,1,2,1)),flip(a)]. 6775 (x * ((y / z) / x)) * z = y * K(x,z \ (x \ y)). [para(6768(a,1),5451(a,2,2))]. 6776 L(K(x,y \ (x \ 1)),z,u) = K(x,L(x * y,z,u) \ 1). [para(6768(a,1),5885(a,1,1))]. 6777 T(x,(x \ y) \ z) = T(x,y \ (z * x)). [hyper(189,a,6574,a,b,6772,a)]. 6778 K(x,y) * K(x,K(y,z \ (u * y))) = K(x,T(y,(y \ z) \ u)). [para(6777(a,2),6012(a,2,2))]. 6779 K(L(x,y,z),L(u,w,x)) = K(L(x,y,z),u). [hyper(189,a,5541,a(flip),b,6770,a)]. 6780 K(L(x,y,z),(x \ u) \ w) = K(L(x,y,z),u \ (x * w)). [para(359(a,1),6779(a,1,2)),flip(a)]. 6781 x * K(y,z \ (y \ x)) = z * (y * ((z \ x) / y)). [hyper(189,a,4185,a(flip),b,6775,a(flip))]. 6782 x * (y * ((x \ 1) / y)) = K(y,x \ (y \ 1)). [hyper(74,a,4185,a(flip),b,6775,a(flip)),flip(a)]. 6783 (x * y) * (z * (((x * y) \ x) / z)) = x * K(z,y \ (z \ 1)). [para(6782(a,1),5662(a,2,2))]. 6784 x * (y * ((x \ z) / y)) != z * u | K(y,x \ (y \ z)) = u. [para(6781(a,1),22(a,1))]. 6785 (x * (y * ((x \ z) / y))) \ z = K(x \ (y \ z),y). [para(6781(a,1),3918(a,1,1))]. 6786 ((x * (y * z)) * (u * (L(L(z \ 1,z,y),y * z,x) / u))) \ (x * y) = K((x * (y * z)) \ (u \ (x * y)),u). [para(309(a,2),6785(a,1,1,2,2,1))]. 6787 ((x * (y * ((x \ 1) / y))) * L(K(x \ (y \ 1),y),z,u)) * ((x * (y * ((x \ 1) / y))) \ w) = w * L(w \ ((x * (y * ((x \ 1) / y))) \ w),z,u). [para(6785(a,1),1239(a,1,1,2,1))]. 6788 (x * (y * ((x \ 1) / y))) / ((L(x * (y * ((x \ 1) / y)),z,u) \ 1) * (x * (y * ((x \ 1) / y)))) = L(K(x \ (y \ 1),y) \ 1,z,u). [para(6785(a,1),5738(a,2,1,1))]. 6789 K(x,K(y \ x,y) * (x \ z)) = K(x,(y * (x / y)) \ z). [para(3889(a,1),6774(a,1,2))]. 6790 K(1 / x,L((1 / x) * y,z,u) \ 1) = L(K(1 / x,y \ x),z,u). [para(69(a,1),6776(a,1,1,2,2)),flip(a)]. 6791 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(5900(a,2),6780(a,2,2,2)),flip(a)]. 6792 K(x,(y * (x / y)) \ (z * x)) = K(x,K(y \ x,y) * T(z,x)). [para(35(a,2),6789(a,1,2,2)),flip(a)]. 6793 T(x,R(x,y,z) * u) \ (x * K(L(x,u,R(x,y,z)),u)) = L(x,u,R(x,y,z)) \ x. [para(1287(a,1),6742(a,1,1))]. 6794 K(x,T(y,L(x,z,u) * w)) = K(x,T(y,w)). [hyper(189,a,6464,a(flip),b,6748,a(flip)),flip(a)]. 6796 K(x,T(y,L(x,z,u) \ w)) = K(x,T(y,w)). [para(17(a,1),6794(a,1,2,2)),flip(a)]. 6797 T(x,L(y \ 1,x * y,z)) = T(x,(z * (x * y)) \ (x * z)). [hyper(189,a,6574,a(flip),b,6773,a)]. 6798 T(x,L(y \ 1,x * y,z)) = T(x,L(y,x,z) \ 1). [hyper(189,a,5474,a(flip),b,6773,a)]. 6799 T(x,L(y \ 1,x * y,z)) != u | T(x,y \ 1) = u. [para(6798(a,2),5940(a,1))]. 6800 T(x,(y * (x * z)) \ (x * y)) = T(x,z \ 1). [hyper(6799,a,6797,a),flip(a)]. 6801 T(x,((x \ y) * (x * z)) \ y) = T(x,z \ 1). [para(17(a,1),6800(a,1,2,2))]. 6802 T(x,((x \ y) * z) \ y) = T(x,(x \ z) \ 1). [para(17(a,1),6801(a,1,2,1,2))]. 6803 T(x,((x \ y) * z) \ y) = T(x,z \ x). [hyper(189,a,5471,a(flip),b,6802,a)]. 6804 T(x,(y * z) \ (x * y)) = T(x,z \ x). [para(16(a,1),6803(a,1,2,1,1))]. 6805 T(x,(y * z) \ (y * x)) = T(x,z \ x). [hyper(189,a,6574,a,b,6804,a(flip)),flip(a)]. 6806 T(x,(y \ z) \ x) = T(x,z \ (y * x)). [para(17(a,1),6805(a,1,2,1)),flip(a)]. 6807 K(x,T(y,z \ (u * y))) = K(x,T(y,z \ u)). [para(6806(a,1),5476(a,1,2))]. 6808 K(x,T(y,(y \ z) \ u)) = K(x,T(y,z \ u)). [para(6777(a,2),6807(a,1,2))]. 6809 K(x,T(y,(y \ z) \ u)) != K(x,y) * w | K(x,K(y,z \ u)) = w. [para(6808(a,2),6020(a,1))]. 6810 K(x,K(y,z)) * (L(K(x,u),w,v5) \ K(x,K(y,z))) = L(K(x,u),w,v5) \ 1. [hyper(5990,a,5938,a)]. 6811 K(x,K(y,z)) * (K(z,u) * w) = K(z,u) * (K(x,K(y,z)) * w). [para(5969(a,2),5988(a,2,2,1))]. 6812 K(T(x,y),z \ (y * (x \ 1))) = K(x,(y * (x \ 1)) / z). [hyper(5434,a,6083,a)]. 6813 K(T(x,y),((x \ 1) * y) \ z) = K(x,z / ((x \ 1) * y)). [hyper(5434,a,6085,a)]. 6814 K(T(x,y),L(T(z,y),y,x \ 1)) = K(x,((x \ 1) * (z * y)) / ((x \ 1) * y)). [para(154(a,1),6813(a,1,2))]. 6815 x / (K(T(y,z),x) * K(x,z)) = T(x * K(z,x),y). [para(4430(a,1),6091(a,1,2,2))]. 6816 T(x * K(y,x),z) \ x = K(T(z,y),x) * K(x,y). [para(6815(a,1),69(a,1,1))]. 6818 T((x * y) / x,z) \ y = K(T(z,x),y) * K(y,x). [para(4375(a,2),6816(a,1,1,1))]. 6819 T((x * y) / x,z) \ y = K(y,x) * K(T(z,x),y). [hyper(189,a,1959,a,b,6818,a)]. 6820 K(x,y) * K(T(L(x,z,u) * y,y),x) = L(x,y,L(x,z,u)) \ x. [para(1295(a,1),6819(a,1,1)),flip(a)]. 6821 (x * K(y * z,y)) * K(y,z) = K(y * z,y) * (K(y,z) * x). [para(6356(a,1),6116(a,1,1))]. 6822 T(x * y,z) * ((y * x) \ 1) = K(x,y) * K(x * y,z). [para(4704(a,1),6125(a,1,2))]. 6823 T(((x * y) * ((y * x) \ 1)) * (y * x),z) = (K(x,y) * K(x * y,z)) * (y * x). [para(6822(a,1),4177(a,2,1))]. 6824 L(x,T(y,z) \ u,T(y,u)) = L(x,y \ (K(z,y) * u),y). [para(4551(a,1),6173(a,1,2))]. 6825 L(x,T(y,z) \ u,T(y,u)) = L(x,T(y,z) \ u,y). [para(4551(a,1),6824(a,2,2))]. 6826 T(x,y) * ((T(x,y) \ y) * z) = y * L(z,T(x,y) \ y,x). [para(6825(a,1),344(a,1,2)),flip(a)]. 6827 T(x,y) * ((x \ T(y,x)) * z) = y * L(z,T(x,y) \ y,x). [para(3529(a,1),6826(a,1,2,1))]. 6828 T(x,y) * ((x \ T(y,x)) * z) = y * L(z,x \ T(y,x),x). [para(3529(a,1),6827(a,2,2,2))]. 6829 (x * L(y,z \ T(x,z),z)) \ (x * y) = a(T(z,x),T(z,x) \ x,y). [para(6828(a,1),3558(a,1,1))]. 6830 K((T(x,y) * z) \ u,T(x,z)) = K(u / (T(x,y) * z),x). [hyper(5499,a,6191,a)]. 6831 T(x * y,y) / (T(x * y,y) / x) = x * K(y,x). [para(3403(a,1),6296(a,2,2))]. 6832 T(x * K(y,x),T(x * y,y)) = L(x,y * K(x * y,y),x). [para(6831(a,1),4665(a,1,1))]. 6833 L(x,y * K(x * y,y),x) = L(x,y,x). [hyper(189,a,6681,a(flip),b,6832,a(flip))]. 6834 L(x,R(y,x,y),x) = L(x,y,x). [hyper(189,a,4625,a(flip),b,6833,a(flip)),flip(a)]. 6835 L(x,R(T(y,y * x),x,T(y,y * x)),x) = L(x,L(y,x,y),x). [hyper(189,a,3727,a(flip),b,6834,a)]. 6836 K((x / y) \ 1,x * K(y,z)) = T(x * (y / x),z) \ T(y,z). [hyper(189,a,5782,a,b,6308,a(flip)),flip(a)]. 6837 K(x,y) * (z * T(z \ (K(x,y) \ u),y)) = z * T(z \ u,y). [hyper(189,a,323,a(flip),b,6341,a)]. 6838 T(x,T((y * z) \ y,u)) = T(x,T(z \ 1,u)). [hyper(189,a,6375,a(flip),b,6377,a)]. 6839 T(x,T((y \ z) \ 1,u)) = T(x,T(z \ y,u)). [para(17(a,1),6838(a,1,2,1,1)),flip(a)]. 6840 T(x,y \ ((z \ u) \ y)) = T(x,T(u \ z,y)). [hyper(5512,a,6839,a)]. 6841 T(x,(y * (z * K(x,u))) \ w) = T(x,(y * z) \ w). [hyper(189,a,4466,a,b,6432,a)]. 6842 T(x,(y * (z * x)) \ u) = T(x,(y * (x * z)) \ u). [para(95(a,1),6841(a,1,2,1,2)),flip(a)]. 6843 T(K(x,y) * z,K(y,u)) = K(x,y) * T(z,K(y,u)). [hyper(189,a,6136,a(flip),b,6567,a(flip))]. 6844 T(x * K(y,z),K(y,u)) = T(x,K(y,u)) * K(y,z). [hyper(4992,a,6843,a),flip(a)]. 6845 T(x * K(y,z * x),K(y,z)) = K(y,z * x) * x. [hyper(189,a,6668,a(flip),b,6844,a)]. 6846 T(x * K(y,z),K(y,u)) \ T(x,K(y,u)) = K(z,y). [para(6844(a,2),3918(a,1,1))]. 6848 (x * K(y,z * x)) / T(T(K(y,z),x * K(y,z * x)),x * K(y,z * x)) = (K(y,z * x) * x) / T(K(y,z),x * K(y,z * x)). [para(6845(a,1),3547(a,1,1)),flip(a)]. 6849 T(K(x,K(y,z)) * u,K(y,w)) = K(x,K(y,z)) * T(u,K(y,w)). [para(5969(a,1),6577(a,1,1,1))]. 6850 K(x,y) * T(z,z \ T(x,y)) = T(K(x,y) * z,z \ x). [hyper(5189,a,6678,a)]. 6851 K(x,y) * T(K(y,x) * z,z \ y) = T(z,z \ T(y,x)). [hyper(3907,a,6850,a)]. 6852 T((T(x,y) \ 1) * x,T(x,z)) = (T(x,y) \ 1) * x. [para(6718(a,1),6719(a,1,1))]. 6853 K(x,(y * z) \ (x \ y)) = K(x,z \ (x \ 1)). [hyper(6784,a,6783,a)]. 6854 K(x,(y \ z) \ (x \ 1)) = K(x,z \ (x \ y)). [para(17(a,1),6853(a,1,2,1)),flip(a)]. 6855 K((x * y) \ (z \ x),z) = (u * K(z,y \ (z \ 1))) \ u. [para(6853(a,1),3918(a,1,1,2)),flip(a)]. 6856 K(1 / x,y \ ((1 / x) \ z)) = K(1 / x,(z \ y) \ x). [para(69(a,1),6854(a,1,2,2)),flip(a)]. 6857 K(x,(y / (y / z)) \ (x \ ((z \ y) * z))) = K(x,(y \ z) \ (x \ 1)). [para(4326(a,1),6854(a,1,2,1)),flip(a)]. 6858 K(L(x,y,z) \ 1,(u \ w) \ ((x \ 1) \ 1)) = L(K(x \ 1,w \ ((x \ 1) \ u)),y,z). [para(6854(a,1),4824(a,1,1)),flip(a)]. 6859 K((x * y) \ (z \ x),z) = K(y \ (z \ 1),z). [hyper(189,a,3918,a(flip),b,6855,a)]. 6860 K((x * (y * z)) \ (u \ (x * y)),u) = K(L(z,y,x) \ (u \ 1),u). [para(102(a,1),6859(a,1,1,1))]. 6861 K(1 / x,y \ ((1 / x) \ z)) != u | K(x \ 1,(z \ y) \ x) = u. [para(6856(a,2),4254(a,1))]. 6862 K(x,(y * (x / y)) \ (z * x)) != u | K(x,K(y \ x,y) * z) = u. [para(6792(a,2),6492(a,1))]. 6863 K(x,y) * (K(z,K(u,x)) * (K(x,y) \ w)) = K(z,K(u,x)) * w. [hyper(254,a,6811,a),flip(a)]. 6864 K(x * y,x) * (K(x,y) * z) = z * (K(x,y) * K(x * y,x)). [hyper(6646,a,6821,a),flip(a)]. 6865 L(x,L(y,x,y),x) = L(x,T(y,x),x). [para(3609(a,1),6835(a,1,2)),flip(a)]. 6866 L(x,L(y,x,y),x) = L(x,y,x). [hyper(189,a,3724,a(flip),b,6865,a)]. 6867 L(R(x,y,z),L(u,x,u),x) = R(L(x,u,x),y,z). [para(6866(a,1),47(a,1,1)),flip(a)]. 6868 L(R(x,y,z),L(u,x,u),x) = L(R(x,y,z),u,x). [hyper(189,a,47,a(flip),b,6867,a)]. 6869 K(L(R(x,y,z),L(u,x,u),x),x * L(u,x,u)) * ((x * (L(u,x,u) * R(x,y,z))) / (x * L(u,x,u))) = L(R(x,y,z),u,x). [hyper(189,a,4470,a,b,6868,a(flip)),flip(a)]. 6870 K((x / y) \ 1,x * K(y,z)) = K(x \ T(y,z),x). [hyper(189,a,4182,a(flip),b,6836,a)]. 6871 K(x \ y,K(y,z) * x) = K(x \ T(y,z),x). [hyper(189,a,6372,a(flip),b,6870,a(flip)),flip(a)]. 6872 K(x \ T(y,z),x) * (K(y,z) * (x * (x \ y))) = L(x \ y,x,K(y,z)) * (K(y,z) * x). [para(6871(a,1),5537(a,1,1))]. 6873 K(x,y) * (K(z,K(x,u)) * (K(x,y) \ w)) = K(u,K(z,x)) * w. [para(5969(a,2),6863(a,1,2,1))]. 6874 L(K(x,T(y \ z,u)),y \ z,y) = K(x,T((z \ y) \ 1,u)). [hyper(189,a,6034,a(flip),b,6078,a)]. 6875 K(x,T((y \ z) \ 1,u)) = K(x,T(z \ y,u)). [hyper(189,a,5515,a(flip),b,6874,a(flip))]. 6876 K(x,T(1 / (y \ z),u)) = K(x,T(z \ y,u)). [hyper(5329,a,6875,a)]. 6878 K(x,y \ ((z \ u) \ y)) = K(x,T(u \ z,y)). [hyper(189,a,5367,a(flip),b,6875,a(flip)),flip(a)]. 6879 K(R(x,y,R(T(x,y),z,u)),T(w,y)) = K(x,T(w,R(x,z,u) * y)). [hyper(6107,a,6088,a),flip(a)]. 6880 K(x \ y,T(z,y)) = K((K(z,u) * y) / x,z). [hyper(6273,a,6541,a),flip(a)]. 6881 K((K(x,y) * z) / u,x) = K(z / u,x). [hyper(6100,a,6880,a),flip(a)]. 6882 K((x * K(y,z)) / u,z) = K(x / u,z). [para(6052(a,1),6881(a,1,1,1)),flip(a)]. 6883 K(x,T((K(x,y) * z) / u,w)) = ((w * x) / w) / ((w * (x * K(z / u,x))) / w). [para(6881(a,1),6732(a,1,2,1,2,2)),flip(a)]. 6884 K((x * T(y,z)) / u,z) = K((x * y) / u,z). [para(1078(a,1),6882(a,1,1,1))]. 6885 K(x,(y * T(z,x)) / u) = (w * K((y * z) / u,x)) \ w. [para(6884(a,1),3918(a,1,1,2)),flip(a)]. 6886 K(x,(y * T(z,x)) / u) != w | K(x,(y * z) / u) = w. [para(6885(a,2),3922(a,1))]. 6887 T(R(K(x,T(y,z)),z,u) \ 1,z * u) = K(((z / x) * u) \ (z * u),y) \ 1. [para(6299(a,1),5351(a,1,1)),flip(a)]. 6888 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(6302,a,6361,a)]. 6889 a(x,y * K(x,z),x) != u | a(x,y,T(x,z)) = u. [para(6303(a,1),553(a,1))]. 6890 K(x / (y * z),x / z) = K(y \ (z \ x),x / z). [hyper(189,a,3831,a(flip),b,6568,a(flip))]. 6891 K((x * y) \ z,y \ z) = K(x \ (y \ z),z / y). [hyper(6068,a,6890,a)]. 6893 (x * K(y \ (z \ u),u / z)) \ x = K(z \ u,(y * z) \ u). [para(6891(a,1),3918(a,1,1,2))]. 6894 ((x \ y) \ K(z \ (x \ y),y / x)) \ ((x \ y) \ 1) = K(x \ y,(z * x) \ y). [para(6891(a,1),4605(a,1,1,2))]. 6895 K(x / y,z \ (y \ x)) = K(y \ x,(z * y) \ x). [hyper(3922,a,6893,a)]. 6896 R(x,y / x,z) \ R(T(x,T(u,x \ y)),y / x,z) = K((y * z) / ((y / x) * z),u). [hyper(189,a,4398,a,b,6673,a(flip)),flip(a)]. 6897 K(x,K(y,z \ (u * y))) = K(x,K(y,z \ u)). [hyper(6809,a,6778,a(flip)),flip(a)]. 6898 T(x * K(T(y,z),R(u,z,R(T(u,z),w,v5))),K(T(y,z),v6)) \ T(x,K(T(y,z),v6)) = K(u,T(y,R(u,w,v5) * z)). [hyper(189,a,6846,a,b,6879,a(flip)),flip(a)]. 6899 K(x \ y,(z \ 1) \ (z \ y)) = K((z \ x) \ (z \ y),y). [para(17(a,1),5948(a,1,2)),flip(a)]. 6900 K(x \ R(y,z,u),R((w \ 1) \ (w \ y),z,u)) = K((w \ x) \ (w \ R(y,z,u)),R(y,z,u)). [para(1715(a,2),6899(a,1,2))]. 6901 T(x * K(y,x),K(x,z) * u) = T(x,u) * K(y,T(x,u)). [para(6161(a,1),6172(a,1,2,2)),flip(a)]. 6902 T(x * K(y,x),K(x,z) * u) = T(x * K(y,x),u). [hyper(189,a,4653,a(flip),b,6901,a)]. 6904 T(x * K((K(x,y) * z) * R(x,u,w),x),z) = R(x,K(x,y) * z,R(x,u,w)). [hyper(189,a,4654,a(flip),b,6902,a(flip))]. 6905 T(x,T(y,z)) * K(z \ y,z) = K(z \ y,z) * T(x,y). [hyper(189,a,6609,a(flip),b,6281,a(flip)),flip(a)]. 6906 (K(x,y) * z) * K(u,T(x,w)) = K(x,y) * (z * K(u,T(x,w))). [para(6034(a,1),6564(a,1,2,2)),flip(a)]. 6907 R(x \ y,(x \ y) \ x,x \ y) = ((y / x) \ x) \ x. [hyper(189,a,4993,a(flip),b,6583,a(flip))]. 6908 K(x,K(1 / y,z) / (1 / y)) = T(K(T(x,y \ 1),y),z). [para(69(a,1),6747(a,1,1,2)),flip(a)]. 6909 K(x,K(1 / y,z) / (1 / y)) = T(K(x,y),z). [para(5386(a,1),6908(a,2,1))]. 6910 K(x,1 / (K(y,z \ 1) / z)) = T(K(x,z),y). [para(4677(a,1),6909(a,1,2))]. 6911 K(x,y * K(y \ 1,z)) = T(K(x,y),z). [hyper(189,a,4779,a(flip),b,6910,a(flip)),flip(a)]. 6912 K(x,y * K(y \ 1,z)) != u | K(x,T(y,z)) = u. [para(6911(a,2),5490(a,1))]. 6913 K(x * y,T(y,x)) = K(y \ 1,x). [hyper(6912,a,6371,a)]. 6914 K(x \ 1,y) = K(x * y,x). [hyper(3735,a,6913,a),flip(a)]. 6915 K(x \ 1,y) != z | K(y * x,x) = z. [para(6913(a,1),5280(a,1))]. 6916 K(x * K(y \ 1,z),y) = K(x,y). [para(6913(a,1),6200(a,1,1,2))]. 6917 K(x \ 1,y / x) = K(y,x). [hyper(189,a,4619,a(flip),b,6914,a)]. 6920 K(x,y / K(x \ 1,z)) = K(x,y). [para(6914(a,2),6176(a,1,2,2))]. 6922 L(x,y,K(x \ 1,z)) = x. [para(6914(a,2),6512(a,1,3))]. 6923 K(x,y / (z * K(x \ 1,u))) = K(x,y / z). [para(6914(a,2),6756(a,1,2,2,2))]. 6925 (K(x \ 1,y) * z) * x = K(x \ 1,y) * (z * x). [para(6922(a,1),102(a,1,2))]. 6926 L(x \ 1,y,K(x,z)) = x \ 1. [para(2648(a,1),6922(a,1,3))]. 6928 (K(x,y) * (z * x)) \ (K(x,y) * z) = L(x \ 1,x,z). [para(6926(a,1),707(a,1,1)),flip(a)]. 6932 K(x / T(y,z \ 1),z) = K(x / y,z). [para(5178(a,1),6916(a,1,1))]. 6933 K(K(x,y \ 1) * z,y) = K(z,y). [para(5348(a,1),6916(a,1,1)),flip(a)]. 6934 K(T(x,y \ 1) \ z,y) = K(x \ z,y). [para(5457(a,1),6916(a,1,1))]. 6935 K(x \ 1,y / K(x,z)) = K(x \ 1,y). [para(2648(a,1),6920(a,1,2,2))]. 6936 K(K(x \ 1,y) \ z,x) = K(z,x). [para(3889(a,2),6933(a,1,1))]. 6937 K(x \ T(y,z \ 1),z) = K(x \ y,z). [para(4757(a,1),6933(a,1,1))]. 6938 (K(x \ 1,y) \ z) * K(z,x) = T(K(x \ 1,y) \ z,x). [para(6936(a,1),4396(a,2,2)),flip(a)]. 6939 K(x / (y * (z \ 1)),z) = K(x / (z \ y),z). [para(4242(a,1),6932(a,1,1,2))]. 6940 K(x \ 1,y / T(z,x)) = K(x \ 1,y / z). [para(5177(a,1),6935(a,1,2)),flip(a)]. 6941 K(x \ (y * (z \ 1)),z) = K(x \ (z \ y),z). [para(4242(a,1),6937(a,1,1,2))]. 6942 K(x,y / ((z / (x \ 1)) * u)) = K(x,y / (((x \ 1) \ z) * u)). [para(5452(a,1),6923(a,1,2,2))]. 6943 K(R(x,y,x) \ 1,z) = K(x \ 1,z). [hyper(4939,a,6925,a)]. 6945 K(x \ 1,R(y,z,x)) = K(x \ 1,y). [hyper(189,a,5685,a(flip),b,6943,a(flip)),flip(a)]. 6946 K(x \ 1,(y * x) / (z * x)) = K(x \ 1,y / z). [para(111(a,1),6945(a,1,2))]. 6947 (K(x,y \ 1) * z) * K(z,y) = T(K(y \ 1,x) \ z,y). [para(3889(a,1),6938(a,1,1))]. 6948 T(K(x \ 1,y) \ z,x) = K(y,x \ 1) * T(z,x). [hyper(5189,a,6947,a),flip(a)]. 6949 T(K(x,y \ 1) * z,y) = K(x,y \ 1) * T(z,y). [para(3889(a,1),6948(a,1,1))]. 6950 T(x * K(y \ 1,z),y) = T(x,y) * K(y \ 1,z). [hyper(4992,a,6949,a),flip(a)]. 6952 T((x / y) * K(y \ 1,z),y) = (y \ x) * K(y \ 1,z). [para(115(a,1),6950(a,2,1))]. 6953 x \ (y * K(x \ 1,z)) = (x \ y) * K(x \ 1,z). [hyper(4966,a,6952,a)]. 6954 x * ((x \ y) * K(x \ 1,z)) = y * K(x \ 1,z). [para(6953(a,1),17(a,1,2))]. 6955 (x * y) * K(x \ 1,z) = x * (y * K(x \ 1,z)). [para(16(a,1),6954(a,1,2,1)),flip(a)]. 6956 K(L(x,y,x) \ 1,z) = K(x \ 1,z). [hyper(4941,a,6955,a)]. 6957 R(x,y,K(x \ 1,z)) = x. [hyper(376,a,6955,a)]. 6958 K(x \ 1,(x \ y) \ z) = K(x \ 1,y \ (x * z)). [hyper(20,a,5926,a,b,6955,a)]. 6961 R(x \ 1,y,K(x,z)) = x \ 1. [para(2648(a,1),6957(a,1,3))]. 6962 R(x,y,K(z,x)) = x. [para(6917(a,1),6957(a,1,3))]. 6965 (T(x,y) * z) * K(u,x) = T(x,y) * (z * K(u,x)). [para(6962(a,1),380(a,1,1,1)),flip(a)]. 6966 R(x,y,K(z,T(x,u))) = x. [para(5337(a,1),6962(a,1,3))]. 6967 (L(x,y,z) * u) * K(w,T(x,v5)) = L(x,y,z) * (u * K(w,T(x,v5))). [para(6966(a,1),381(a,1,1,1)),flip(a)]. 6968 ((x \ 1) * y) * K(x,z) = (x \ 1) * (y * K(x,z)). [para(6961(a,1),110(a,1,1)),flip(a)]. 6969 K(x,L(y,z,y) \ 1) = (u * K(y \ 1,x)) \ u. [para(6956(a,1),3918(a,1,1,2)),flip(a)]. 6970 K(x,L(y,z,y) \ 1) = K(x,y \ 1). [hyper(189,a,3918,a(flip),b,6969,a)]. 6972 K(x,L(1 / y,z,1 / y) \ 1) = K(x,(y \ ((1 / y) \ 1)) * T(y,1)). [para(3616(a,2),6970(a,2,2))]. 6974 L(K(x \ 1,y \ (x * (z \ u))),z \ u,z) = K(x \ 1,(z * (x \ y)) \ u). [para(6958(a,1),5914(a,1,1))]. 6975 L(K(x,y),z,T(y,u)) = K(x,y). [hyper(5798,a,6965,a)]. 6976 K(L(x,y,T(z,u)),z) = K(x,z). [hyper(189,a,6613,a(flip),b,6975,a(flip)),flip(a)]. 6977 K((T(x,y) * z) \ u,x) = K(z \ (T(x,y) \ u),x). [hyper(189,a,5528,a(flip),b,6975,a(flip)),flip(a)]. 6980 K(L(x,y,z),z) = K(x,z). [para(112(a,1),6976(a,1,1,3))]. 6981 K((x * ((T(y,z) * x) \ u)) / x,y) = K((T(y,z) \ u) / x,y). [para(675(a,1),6976(a,1,1))]. 6982 K((x * y) \ z,x) = K(y \ (x \ z),x). [para(183(a,1),6980(a,1,1))]. 6983 K(R(x,y,z),L(u,w,x)) = R(x * K(u,x),y,z) \ R(x,y,z). [para(6980(a,1),4743(a,1,1,1,2)),flip(a)]. 6984 K(x,T(y,L(z,u,x))) = K(x * K(z,x),y). [para(6980(a,1),6046(a,1,1,2)),flip(a)]. 6985 K((x \ y) \ (x \ z),x) = K(y \ z,x). [para(17(a,1),6982(a,1,1,1)),flip(a)]. 6986 K(T(x * K(y \ (x \ (z * x)),x),x),u) = K(x,T(u,T(z \ (x * y),x) \ x)). [para(6982(a,1),6660(a,1,1,1,2))]. 6987 K((x \ y) \ z,x) = K(y \ (z * x),x). [hyper(6278,a,6985,a)]. 6988 K(x \ (y * z),z) != u | K((z \ x) \ y,z) = u. [para(6985(a,1),6278(a,1))]. 6989 K((x / y) \ z,y) = K(x \ (z * y),y). [hyper(6235,a,6987,a)]. 6990 K((x * y) \ (z * y),y) = K(x \ z,y). [para(18(a,1),6989(a,1,1,1)),flip(a)]. 6991 K((x * y) \ z,y) = K(x \ (y \ z),y). [hyper(189,a,6532,a(flip),b,6990,a(flip)),flip(a)]. 6992 (x * K(y \ (z \ u),z)) \ x = K(z,(y * z) \ u). [para(6991(a,1),3918(a,1,1,2))]. 6993 (x * y) * T((x * y) \ z,y) = z * K(x \ (y \ z),y). [para(6991(a,1),5160(a,2,2))]. 6994 K((x * y) \ (z * y),y) != u | K(x \ z,y) = u. [para(6991(a,2),6278(a,1))]. 6995 K(x,T(y,L(z,u,x))) = K(x,T(y,z)). [hyper(189,a,6046,a(flip),b,6984,a)]. 6996 K(x,T(x * y,y * z)) = K(x,T(x * y,z)). [hyper(189,a,5591,a(flip),b,6995,a(flip)),flip(a)]. 6997 K(x,T(y,(x \ z) \ u)) = K(x,T(y,z \ (x * u))). [para(359(a,1),6995(a,1,2,2)),flip(a)]. 6999 K(x,T(x * y,y \ z)) = K(x,T(x * y,z)). [para(17(a,1),6996(a,1,2,2)),flip(a)]. 7000 K(x / y,T((x / y) * y,z)) = K(x / y,T(x,y \ z)). [para(19(a,1),6999(a,1,2,1)),flip(a)]. 7001 K(x \ (y * (z \ x)),z \ x) != u | K(z \ y,z \ x) = u. [para(17(a,1),6994(a,1,1,1))]. 7002 K(x,L(y,z,x \ 1)) = K(x,y). [hyper(20,a,6690,a,b,6968,a),flip(a)]. 7003 K(x,L((1 / x) * y,z,u)) = K(x,L(x \ y,z,u)). [para(2383(a,1),7002(a,1,2))]. 7004 K((T(x,y) * z) \ u,x) = K(z \ (x \ u),x). [hyper(189,a,6536,a(flip),b,6977,a)]. 7007 K(x,(y * x) \ z) != u | K(x,y \ (x \ z)) = u. [para(6992(a,1),3922(a,1))]. 7008 K(x,L(x \ y,x,z)) != u | K(x,z \ (x \ (z * y))) = u. [para(104(a,2),7007(a,1,2))]. 7009 K(x,L(x \ ((x \ 1) \ y),z,u)) = K(x,L(K(x,x \ 1) * y,z,u)). [para(2427(a,1),7003(a,1,2,1)),flip(a)]. 7010 ((x \ (y / z)) * x) * z = y * K(z \ (x \ y),x). [hyper(189,a,4199,a(flip),b,6993,a(flip)),flip(a)]. 7011 (x * y) * K(y \ (z \ (x * y)),z) = ((z \ x) * z) * y. [para(18(a,1),7010(a,1,1,1,2)),flip(a)]. 7012 K(x / y,T((x / y) * y,z)) = K(y \ x,T(x,y \ z)). [hyper(189,a,4844,a(flip),b,7000,a)]. 7013 K(x,L(x \ y,x,z)) = K(x,z \ (x \ (z * y))). [hyper(7008,a,xx),flip(a)]. 7014 K(x,L(x \ (y \ z),x,z / (z / y))) = K(x,(z / (z / y)) \ (x \ ((y \ z) * y))). [para(3588(a,1),7013(a,2,2,2,2))]. 7015 K(x,y / (((x \ z) * x) * u)) = K(x,y / (z * u)). [para(7011(a,1),6756(a,1,2,2))]. 7016 K(x,y / ((z * x) * u)) = K(x,y / ((x * z) * u)). [para(16(a,1),7015(a,1,2,2,1,1))]. 7017 K(x \ y,T(y,x \ z)) = K(y / x,T(y,z)). [para(19(a,1),7012(a,1,2,1)),flip(a)]. 7018 K(x \ y,T(y,x \ z)) = K(x \ y,T(y,z)). [hyper(189,a,4844,a(flip),b,7017,a)]. 7019 K(x \ ((y \ x) * z),z) = K(y \ z,T(z,x)). [hyper(189,a,6555,a,b,7018,a(flip)),flip(a)]. 7020 K(x \ (y \ z),T(y \ z,z)) = K(y \ (x \ z),y \ z). [hyper(7001,a,7019,a),flip(a)]. 7021 K(x \ (y \ z),x \ z) = K(y \ (x \ z),z / x). [hyper(6277,a,7020,a),flip(a)]. 7022 (x \ y) \ K(z \ (x \ y),y / x) = T(x \ y,x \ (z \ y)) \ 1. [hyper(75,a,7021,a(flip),b,4358,a(flip))]. 7023 K((T(x,y) * z) \ u,T(x,z)) = K((T(x,y) \ u) / z,x). [hyper(6038,a,6981,a)]. 7024 K((T(x,y) \ z) / u,x) = K(z / (T(x,y) * u),x). [hyper(189,a,6830,a(flip),b,7023,a(flip))]. 7025 K(R(x,y,z),L(u,w,x)) != v5 | K(R(x,y,z),u) = v5. [para(6983(a,2),4886(a,1))]. 7026 K(1 / x,L((1 / x) * y,z,u) \ 1) != w | K(L(x,z,u) \ 1,y \ x) = w. [para(6790(a,2),4835(a,1))]. 7027 K(x,(y / (y / z)) \ (x \ ((z \ y) * z))) = K(x,z \ (x \ y)). [hyper(189,a,6854,a(flip),b,6857,a)]. 7028 L(K(x,T(y,z)),u,L(y,w,v5)) = K(x,T(y,z)). [hyper(5798,a,6967,a)]. 7029 K(x,T(y,L(y,z,u) * w)) = K(x,T(y,w)). [hyper(5937,a,7028,a)]. 7030 L(K(x,T(y,z)),u,y) = K(x,T(y,z)). [para(262(a,1),7028(a,1,3))]. 7031 K((x * y) \ z,T(x,u)) = K(y \ (x \ z),T(x,u)). [hyper(189,a,5528,a(flip),b,7030,a(flip)),flip(a)]. 7032 K((x \ y) \ z,T(x,u)) = K(y \ (x * z),T(x,u)). [hyper(189,a,5527,a(flip),b,7030,a(flip))]. 7033 K(x * L(y,z,u),T(y,x)) = K(x * L(y,z,u),y). [hyper(6104,a,7029,a),flip(a)]. 7034 K(L(x,y,z) * u,T(x,u)) = K(L(x,y,z) * u,x). [hyper(3885,a,7029,a),flip(a)]. 7035 L(K(x \ (y \ 1),T(y,z)),u,w) = K(L(y * x,u,w) \ 1,T(y,z)). [para(7031(a,1),4824(a,1,1))]. 7036 K(x \ (y * z),T(y,z)) = K(z / (y \ x),y). [hyper(6100,a,7032,a),flip(a)]. 7037 K(x / (y \ z),y) = K((z / x) \ y,y). [hyper(6294,a,7036,a),flip(a)]. 7039 T(x,y) * K(y * L(x,z,u),x) = R(x,y,L(x,z,u)). [para(7033(a,1),5048(a,1,2))]. 7040 K(T(L(x,y,z) * u,u),x) = K(L(x,y,z) * u,x). [hyper(5430,a,7034,a)]. 7041 K(x,y) * K(L(x,z,u) * y,x) = L(x,y,L(x,z,u)) \ x. [para(7040(a,1),6820(a,1,2))]. 7042 K(x * L(y,z,u),y) * K(y,x) = y \ R(y,x,L(y,z,u)). [hyper(75,a,7039,a(flip),b,4545,a),flip(a)]. 7043 K(x,y) * K(y * L(x,z,u),x) = x \ R(x,y,L(x,z,u)). [hyper(75,a,7039,a(flip),b,4376,a),flip(a)]. 7044 x \ R(x,y,L(x,z,u)) != w | K(x,y) * K(y * L(x,z,u),x) = w. [para(7042(a,1),1960(a,1))]. 7045 K(x * L(y,z,u),T(y,x)) * K(y,x) = y \ R(y,x,L(y,z,u)). [para(7033(a,2),7042(a,1,1))]. 7046 (1 / (x \ y)) \ R(1 / (x \ y),z,L(1 / (x \ y),x \ y,x)) = K(z * (1 / (1 / (y \ x))),T(1 / (x \ y),z)) * K(1 / (x \ y),z). [para(2196(a,1),7045(a,1,1,1,2)),flip(a)]. 7047 K(R(x \ R(x,y,z),x,y * z),u) = K(a(x,y,z),T(u,x * (y * z))). [para(3254(a,2),6071(a,1,1))]. 7048 R(x,y,z) \ R(x * K(u,T(x,w)),y,z) = K(u,T(R(x,y,z),w)). [para(6034(a,1),6073(a,1,2,1,2))]. 7049 R(x,y,z) \ R(x * K(u,T(x,w)),y,z) = K(u,R(T(x,w),y,z)). [para(45(a,2),7048(a,2,2))]. 7050 (x * y) / (x * (y * K(z,u))) = L(T(K(u,z),x * y),y,x). [para(6560(a,1),6368(a,1,1)),flip(a)]. 7051 (x * y) / (x * (y * K(z,u))) = L(K(u,T(z,x * y)),y,x). [para(5334(a,2),7050(a,2,1))]. 7053 L(K(x,T(x * y,z * y)),y,z) = (z * y) / (z * (x \ T(x * y,x))). [para(5198(a,2),7051(a,1,2,2)),flip(a)]. 7054 L(K(x,T(T(y,z),u * z)),z,u) = (u * z) / (u * (K(y,x) * z)). [para(5370(a,1),7051(a,1,2,2)),flip(a)]. 7055 K(R(x \ y,z,u),T(y,x)) = K(R(x \ y,z,u),y). [hyper(4514,a,6397,a),flip(a)]. 7056 K(R(x / y,z,u),x) = K(R(y \ x,z,u),x). [hyper(6112,a,7055,a)]. 7057 K(R(((T(x,y) * y) / x) \ (T(x,y) * y),z,u),T(x,y) * y) = K(R(x * K(y,x),z,u),T(x,y) * y). [para(4955(a,1),7056(a,1,1,1)),flip(a)]. 7058 K(L(x,y,z),u \ (w * x)) != v5 | K(L(x,y,z),u \ (x * w)) = v5. [para(6575(a,1),4513(a,1))]. 7059 (x * y) \ ((x * (y * K(z,u))) * K(u,w)) = K(u,w) * L(K(z,u),y,x). [hyper(189,a,1963,a(flip),b,6633,a)]. 7060 (K(x,y) * K(z,x)) \ 1 = K(y,x) * K(x,z). [hyper(3714,a,6649,a),flip(a)]. 7061 K(x,L(1 / y,z,y \ 1) \ 1) = K(x,(y \ ((1 / y) \ 1)) * T(y,1)). [para(3179(a,1),6972(a,1,2,1))]. 7062 K(a(x,y,z),T(x,x * (y * z))) != u | K(x \ R(x,y,z),R(x,x \ R(x,y,z),y * z)) = u. [para(7047(a,1),6752(a,1))]. 7063 a(x,y * K(z,u),K(u,z)) = K(u,z) * L(K(z,u),y,x). [hyper(3935,a,7059,a)]. 7064 K(x,y) * L(K(y,x),z * K(x,y),u) = a(u,z,K(x,y)). [para(3919(a,1),7063(a,1,2)),flip(a)]. 7065 K(x,y) * L(K(y,x),z,u) = a(u,z,K(x,y)). [para(6611(a,1),7064(a,1,2))]. 7066 L(K(x,y),z,u) * K(y,x) = a(u,z,K(y,x)). [hyper(1961,a,7065,a)]. 7067 L(K(x,y),z,u) \ K(x,y) = a(u,z,K(x,y)). [hyper(189,a,5911,a,b,7065,a(flip)),flip(a)]. 7070 L(K(x,y),z,y \ 1) = K(x,(y \ ((1 / y) \ 1)) * T(y,1)). [hyper(189,a,5886,a(flip),b,7061,a(flip)),flip(a)]. 7071 L(K(x,y),z,y \ 1) = K(x,(y \ y) * T(y,1)). [para(69(a,1),7070(a,2,2,1,2))]. 7072 L(K(x,y),z,y \ 1) = K(x,1 * T(y,1)). [para(59(a,1),7071(a,2,2,1))]. 7074 L(K(x,y),z,y \ 1) = K(x,1 * y). [para(188(a,1),7072(a,2,2,2))]. 7075 L(K(x,y),z,y \ 1) = K(x,y). [para(14(a,1),7074(a,2,2))]. 7078 K(((x \ 1) * y) \ (z * (x \ 1)),x) = K(y \ T(z,x \ 1),x). [hyper(189,a,5530,a(flip),b,7075,a(flip)),flip(a)]. 7079 K(((x \ 1) * y) \ (x \ z),x) = K(y \ T(z,x \ 1),x). [hyper(189,a,6941,a(flip),b,7078,a(flip)),flip(a)]. 7080 K(((x \ 1) * y) \ (x \ z),x) = K(y \ z,x). [hyper(189,a,6937,a(flip),b,7079,a)]. 7081 K(((x \ 1) * y) \ z,x) = K(y \ (z * x),x). [hyper(6278,a,7080,a)]. 7082 K(T(x,y \ 1) \ (z * y),y) = K((x * (y \ 1)) \ z,y). [para(113(a,1),7081(a,1,1,1)),flip(a)]. 7083 K((x * (y \ 1)) \ z,y) = K(x \ (z * y),y). [hyper(189,a,6934,a(flip),b,7082,a(flip))]. 7084 L(K(x * y,x),y,z) = K(z \ ((z * y) * x),x). [hyper(189,a,5532,a,b,7083,a(flip)),flip(a)]. 7085 L(K(x * ((y * z) \ y),x),(y * z) \ y,z * y) = K((z * y) \ ((y * K(z,y)) * x),x). [para(1211(a,1),7084(a,2,1,2,1))]. 7086 K(x \ ((x * y) * z),z) \ K(z * y,z) = a(x,y,K(z * y,z)). [para(7084(a,1),7067(a,1,1))]. 7087 K(x,y \ ((y * z) * x)) * K(x * z,x) = a(y,z,K(x * z,x)). [hyper(3909,a,7086,a)]. 7088 L(K(x,x * y),y,z) = K(x,z \ ((z * y) * x)). [hyper(21,a,7066,a,b,7087,a),flip(a)]. 7089 L(K(x,y * x),y,z) = K(x,z \ ((z * y) * x)). [para(4576(a,2),7088(a,1,1))]. 7090 L(K(x,x * (y \ z)),y \ z,z * (y / z)) = K(x,(z * (y / z)) \ (T(z,z \ y) * x)). [para(5579(a,1),7088(a,2,2,2,1))]. 7091 L(K(L(x,y,z),y * L(x,y,z)),y,z) = K(L(x,y,z),y * x). [para(342(a,1),7089(a,2,2))]. 7092 L(K(L(x,y,z),y * L(x,y,z)),y,z) = K(x,x * y). [hyper(189,a,5546,a(flip),b,7091,a)]. 7094 K(x / y,z) * K(K(y \ x,z) * x,x) = K(T(x / (x / y),x) \ x,z). [hyper(189,a,5637,a,b,6130,a)]. 7095 K(((x * y) \ (z * y)) \ 1,T(x,z)) = K(((x * y) \ (z * y)) \ 1,x). [hyper(189,a,4752,a(flip),b,6398,a)]. 7096 K(((x * y) \ (z * y)) \ 1,T(x,z)) = K(z \ x,((x * y) \ y) \ 1). [hyper(189,a,5613,a(flip),b,7095,a)]. 7097 K((x * y) \ (z * y),T(z,x)) = K(x \ z,((z * y) \ y) \ 1). [hyper(5466,a,7096,a)]. 7098 K((x * y) \ (z * y),T(z,x)) = K(x \ z,y \ (z * y)). [hyper(189,a,5258,a(flip),b,7097,a)]. 7099 K((x * y) \ (z * y),T(z,x)) = K(x \ z,T(z,y)). [para(35(a,2),7098(a,2,2))]. 7100 K(x,(x * y) \ (T((x * y) / z,u) * x)) = K(x,T(z \ (x * y),u) / y). [hyper(189,a,5916,a(flip),b,6447,a(flip)),flip(a)]. 7101 L(x \ 1,x,K(x,y) * z) = L(x \ 1,x,z). [hyper(6498,a,6928,a)]. 7102 L(x \ 1,x,y * K(x,z)) = L(x \ 1,x,y). [para(6024(a,1),7101(a,1,3))]. 7103 L(x \ 1,T(x,y),z) = L(x \ 1,x,z). [hyper(5588,a,7102,a)]. 7106 T(x * L(x \ 1,x,y),z) = T(x,z) * ((y * T(x,z)) \ y). [para(7103(a,1),1925(a,1,1,2))]. 7109 T(x,y) * ((z * T(x,y)) \ z) = x * ((z * x) \ z). [hyper(189,a,5810,a(flip),b,7106,a(flip))]. 7112 (x * ((y * x) \ y)) \ T(x,z) = 1 / ((y * T(x,z)) \ y). [para(7109(a,1),1450(a,1,1))]. 7113 K(T(x,y),z \ (T(x,u) * (x \ w))) = K(T(x,y),z \ w). [hyper(189,a,4660,a(flip),b,6554,a)]. 7114 K(T(x,y),z \ (T(x,u) \ w)) = K(T(x,y),z \ (x \ w)). [para(978(a,1),7113(a,1,2,2)),flip(a)]. 7115 K(T(x,y),z \ (u * K(x,w))) = K(T(x,y),z \ u). [para(6059(a,1),7113(a,1,2,2))]. 7116 K(T(x,y),z \ (u * (T(x,w) \ 1))) = K(T(x,y),z \ (u * (x \ 1))). [para(5734(a,1),7115(a,1,2,2)),flip(a)]. 7117 K(T(x,y),z \ (y * (T(x,u) \ 1))) = K(x,(y * (x \ 1)) / z). [hyper(189,a,6812,a(flip),b,7116,a)]. 7118 K(T(x,y),z \ (x \ y)) = K(x,(y * (x \ 1)) / z). [para(4265(a,1),7117(a,1,2,2))]. 7119 K(x,(y * (x \ 1)) / z) = K(x,y / (z * x)). [hyper(189,a,6449,a(flip),b,7118,a(flip))]. 7120 x \ (K(y,z) * (K(u,y) * x)) = T(K(u,y),x) * T(K(y,z),x). [para(6545(a,1),6634(a,1,2)),flip(a)]. 7122 K(x,K(y,z)) * (L(K(u,x),w,v5) * K(x,K(y,z))) = L(K(x,u),w,v5) \ 1. [para(5895(a,1),6810(a,1,2))]. 7123 K(x / y,z) * K(K(y \ x,z) * x,x) = K(x / T(y,x),z). [para(4901(a,1),7094(a,2,1))]. 7124 K(x / y,z) * K(x * K(y \ x,z),x) = K(x / T(y,x),z). [para(4617(a,1),7123(a,1,2))]. 7125 T(x * K(x / y,z),x) = x * K(x / T(y,x),z). [para(7124(a,1),6386(a,1,2)),flip(a)]. 7126 T(x * K(x / y,z),x) != x * u | K(x / T(y,x),z) = u. [para(7125(a,2),22(a,1))]. 7127 K(x,y \ (x \ (T((x * y) / z,u) * x))) = K(x,T(z \ (x * y),u) / y). [hyper(189,a,6768,a(flip),b,7100,a(flip)),flip(a)]. 7128 K(x,y \ T(T((x * y) / z,u),x)) = K(x,T(z \ (x * y),u) / y). [para(35(a,2),7127(a,1,2,2))]. 7129 K(x,T(y \ (x * z),u) / z) = K(x,z \ T((x * z) / y,u)). [hyper(6493,a,7128,a),flip(a)]. 7130 K(x,((y \ (x * z)) \ (x * z)) \ x) = K(x,z \ T((x * z) / y,y)). [hyper(189,a,6446,a,b,7129,a(flip)),flip(a)]. 7131 K(x,((y \ (x * z)) \ (x * z)) \ x) = K(x,z \ (y \ (x * z))). [para(115(a,1),7130(a,2,2,2))]. 7132 K(x,(x * y) \ ((z \ (x * y)) * x)) = K(x,y \ (z \ (x * y))). [hyper(189,a,5916,a(flip),b,7131,a(flip)),flip(a)]. 7133 (x \ T(K(y \ x,z) * x,x)) \ (x * K(x / y,z)) = L(x,K(y \ x,z),x). [para(6120(a,1),6131(a,1,1))]. 7134 (x * (y \ T(z * y,y))) \ (x * T(z,y)) = L(K(y,y * z),T(z,y),x). [para(113(a,1),6192(a,1,1,2,2,1))]. 7135 (x * (y \ T(z * y,y))) \ (x * T(z,y)) = L(K(y,y * z),z,x). [hyper(189,a,6612,a(flip),b,7134,a)]. 7136 T(x * K(y * R(x,z,u),x),y) = R(x,T(y,T(x,w)),R(x,z,u)). [hyper(189,a,5427,a(flip),b,6245,a(flip)),flip(a)]. 7138 R(x,T(y,T(x,z)),R(x,u,w)) = R(x,y,R(x,u,w)). [hyper(189,a,4654,a(flip),b,7136,a(flip))]. 7139 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(6092(a,1),7138(a,1,2))]. 7140 K(L(x,y,z),u * (K(x,w) * v5)) = K(L(x,y,z),u * v5). [hyper(189,a,4739,a(flip),b,6252,a)]. 7141 K(L(x,y,z),K(u,x) * w) = K(L(x,y,z),w). [para(3887(a,1),7140(a,1,2)),flip(a)]. 7142 K(L(x,y,z),L(K(u,x),w,v5) * v6) = K(L(x,y,z),v6). [para(4829(a,1),7141(a,1,2,1))]. 7143 K(x * (K(y,z) * u),R(y,w,v5)) = K(x * u,R(y,w,v5)). [hyper(189,a,4741,a(flip),b,6253,a)]. 7144 K(K(x,y) * z,R(y,u,w)) = K(z,R(y,u,w)). [para(3887(a,1),7143(a,1,1)),flip(a)]. 7145 K(K(x,y) * z,R(x,u,w)) = K(z,R(x,u,w)). [para(3887(a,1),7144(a,1,1)),flip(a)]. 7146 K(R(T(x,T(y,z)),u,w),R(z,y,z)) = K(R(x,u,w),z * K(y * z,z)). [para(4600(a,1),6380(a,1,2)),flip(a)]. 7147 K(R(T(x,T(y,z)),u,w),R(z,y,z)) = K(T(R(x,u,w),y * z),z). [hyper(189,a,6047,a(flip),b,7146,a)]. 7148 K(R(T(x,T(y,z)),u,w),R(z,y,z)) = K(R(T(x,y * z),u,w),z). [para(45(a,2),7147(a,2,1))]. 7149 K(R(T(x,T(y,z)),u,w),z) = K(R(T(x,y * z),u,w),z). [hyper(6480,a,7148,a)]. 7151 K(R(T(x,y * z),u,w),z) = K(R(T(x,y),u,w),z). [hyper(189,a,6401,a(flip),b,7149,a(flip))]. 7152 K(R(T(x,y * z),u,w),y) = K(R(T(x,z),u,w),y). [hyper(189,a,6661,a(flip),b,7151,a(flip)),flip(a)]. 7153 K((x * y) \ ((x * z) * y),x) = K(R(T(z,y),x,y),x). [hyper(3942,a,7152,a)]. 7154 T(T(T(x,y),z) * T(y,x),T(T(x,y),z)) = R(T(x,z),y,x) * T(y,x). [hyper(189,a,3538,a(flip),b,6439,a)]. 7155 K(x,((x \ 1) * (y * z)) / ((x \ 1) * z)) != u | K(x,L(y,z,x \ 1)) = u. [para(6814(a,1),6109(a,1))]. 7156 T(R(K(x,T(y,z)),z,u) \ 1,z * u) = K(y,((z / x) * u) \ (z * u)). [hyper(189,a,3871,a(flip),b,6887,a)]. 7157 T(R(K(T(x,y),z),y,u) * 1,y * u) = K(x,((y / z) * u) \ (y * u)). [para(5672(a,1),7156(a,1,1))]. 7158 T(R(K(x,T(y,z)),z,u) * 1,z * u) = K(x,((z / y) * u) \ (z * u)). [para(5380(a,1),7157(a,1,1,1,1))]. 7159 T(R(K(x,T(y,z)),z,u),z * u) = K(x,((z / y) * u) \ (z * u)). [para(15(a,1),7158(a,1,1))]. 7160 R(T(K(x,T(y,z)),z * u),z,u) = K(x,((z / y) * u) \ (z * u)). [hyper(5484,a,7159,a)]. 7161 K(x,((y / z) * u) \ (y * u)) = (y * u) \ ((y * K(x,z)) * u). [hyper(6058,a,7160,a),flip(a)]. 7162 K(((x / y) * z) \ (x * z),u) = K(y,((x / u) * z) \ (x * z)). [hyper(189,a,5608,a,b,7161,a),flip(a)]. 7163 T(x * K(y * R(x,z,u),x),y) = R(x,K(x,w) * y,R(x,z,u)). [para(6232(a,1),6904(a,1,1,2))]. 7164 R(x,K(x,y) * z,R(x,u,w)) = R(x,z,R(x,u,w)). [hyper(189,a,4654,a(flip),b,7163,a(flip))]. 7166 ((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(7164(a,1),5813(a,2,2,2,1,1))]. 7167 K(L(x,y \ z,y) \ 1,u \ (x * (y \ z))) = K(x \ 1,(y * (x \ u)) \ z). [hyper(4894,a,6974,a)]. 7168 K(x,y) * ((x \ 1) \ K(y,z)) = T((x \ 1) \ K(y,z),y). [para(17(a,1),6345(a,1,1)),flip(a)]. 7170 (x \ 1) * ((K(y,z) \ u) * T((K(y,z) \ u) \ ((x \ 1) \ u),y)) = ((x \ 1) * (K(x,y) * ((x \ 1) \ K(y,z)))) * (K(y,z) \ u). [para(7168(a,2),1159(a,2,1,2))]. 7171 K(L(x,y,z),u \ L(K(x,w),v5,v6)) = K(L(x,y,z),u \ 1). [hyper(189,a,4738,a(flip),b,6418,a)]. 7173 K(x \ y,x) * ((z / (x \ y)) * (x \ y)) = T(z / (y / x),K(y,x)) * (x \ y). [para(6118(a,1),6499(a,2,1))]. 7174 K(x * (y / (y / z)),T(z,x)) = K((y / (y / z)) * x,z). [para(3586(a,1),6586(a,1,2))]. 7175 K(x * (y / (y / z)),T(z,x)) = K(z * x,z). [hyper(189,a,6250,a(flip),b,7174,a)]. 7178 K(x * (y / (y / z)),T(z,x)) = K(x * z,z). [hyper(189,a,4617,a,b,7175,a)]. 7180 K(x,y) * ((y * R(x,z,R(x,u,w))) * x) = (R(x,z,R(x,u,w)) * y) * x. [para(160(a,1),6739(a,2,1))]. 7181 (R(x,y,R(x,z,u)) * w) * x = (x * w) * R(x,y,R(x,z,u)). [hyper(189,a,6729,a(flip),b,7180,a(flip))]. 7182 (K(x,y) * K(x * y,z)) * (y * x) = T(K(x,y) * (y * x),z). [para(4703(a,2),6823(a,1,1,1)),flip(a)]. 7183 (K(x,y) * K(x * y,z)) * (y * x) = T(x * y,z). [para(4373(a,1),7182(a,2,1))]. 7184 (x * y) \ T(y * x,z) = K(y,x) * K(y * x,z). [hyper(21,a,4950,a,b,7183,a),flip(a)]. 7185 K(x,T((K(x,y) * z) / u,w)) != v5 | K(x,T(z / u,w)) = v5. [para(6883(a,2),6733(a,1))]. 7186 (T(x \ y,x \ (z \ y)) \ 1) \ ((x \ y) \ 1) = K(x \ y,(z * x) \ y). [para(7022(a,1),6894(a,1,1))]. 7187 K(x \ y,(z * x) \ y) = K(x \ y,x \ (z \ y)). [hyper(4537,a,7186,a),flip(a)]. 7189 K(x,T(y,T(z \ (x * u),x) \ x)) = K(T(x * K(u \ z,x),x),y). [para(6363(a,1),6986(a,1,1,1,2)),flip(a)]. 7190 K(x,T(y,T(z \ (x * u),x) \ x)) = K(x * K(u \ z,x),y). [para(1497(a,1),7189(a,2,1))]. 7191 K(x,T(y,T(z \ (x * u),x) \ x)) != w | K(x,T(y,u \ z)) = w. [para(7190(a,2),6267(a,1))]. 7192 T(x / (y / z),K(y,z)) * (z \ y) = K(z \ y,z) * x. [para(19(a,1),7173(a,1,2)),flip(a)]. 7193 T((x / (y / z)) * (z \ y),K(y,z)) = K(z \ y,z) * x. [hyper(189,a,6717,a,b,7192,a(flip)),flip(a)]. 7195 T(x * K(y \ z,y),K(z,y)) = K(y \ z,y) * x. [para(5463(a,1),7193(a,1,1))]. 7196 T(x * (y * K(z \ x,z)),K(x,z)) = x * (K(z \ x,z) * y). [para(7195(a,1),6727(a,2,2))]. 7197 T(x,R(x,y,z) * u) \ (x * K(x,u)) = L(x,u,R(x,y,z)) \ x. [para(6588(a,1),6793(a,1,2,2))]. 7198 K(R(x,y,z) * u,x) * K(x,u) = L(x,u,R(x,y,z)) \ x. [hyper(4587,a,7197,a)]. 7200 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(45(a,2),6888(a,1,1,2))]. 7201 K(x,L(x \ (y \ z),x,z / (z / y))) = K(x,y \ (x \ z)). [hyper(189,a,7027,a(flip),b,7014,a)]. 7202 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(6118(a,1),7200(a,1,2))]. 7203 T((x * (y * K(T(z,u),y))) / x,u) = K(z,y * K(x,y)) * T(y * K(x,y),u). [para(6734(a,1),6293(a,1,1))]. 7204 K(x,y * K(z,y)) * T(y * K(z,y),u) = (z * (K(x,y) * T(y,u))) / z. [hyper(189,a,6291,a(flip),b,7203,a(flip))]. 7205 K(T(x,y),z) * T(z * K(y,z),u) = (y * (K(x,z) * T(z,u))) / y. [para(6047(a,1),7204(a,1,1))]. 7206 K(T(x,y),z) * T((y * z) / y,u) = (y * (K(x,z) * T(z,u))) / y. [para(4375(a,2),7205(a,1,2,1))]. 7207 (x * (T(y,z) * K(u,T(y,T(u,w))))) / x = K(T(u,x),y) * T((x * y) / x,z). [para(5352(a,2),7206(a,2,1,2)),flip(a)]. 7208 (x * (T(y,T(z,x)) * K(z,T(y,T(z,u))))) / x = y * K(x,T(y,T(z,x))). [hyper(189,a,4735,a(flip),b,7207,a)]. 7209 (x * (T(y,T(z,x)) * K(z,T(y,T(z,u))))) / x = y * K(x,T(y,z)). [para(6327(a,1),7208(a,2,2))]. 7210 (x * (T(y,T(z,x)) * K(z,y))) / x = y * K(x,T(y,z)). [para(5341(a,1),7209(a,1,1,2,2))]. 7211 (T(x,y) * T(y,T(x,z))) / x = y * K(x,T(y,z)). [para(6683(a,1),7210(a,1,1))]. 7212 T(T(x,y),y) * T(y,T(x,z)) = x * (y * K(x,T(y,z))). [para(7211(a,1),5850(a,2,2))]. 7213 T(T(x,y),y) * T(y,T(x,z)) = T(x,T(y,z)) * y. [hyper(189,a,6127,a(flip),b,7212,a)]. 7214 (T(x,T(y,z)) * y) / K(x,y) = T(x,y) * T(y,T(x,z)). [para(7213(a,1),5832(a,1,1))]. 7215 T(x,y) * T(y,T(x,z)) = y * T(x,T(y,z)). [hyper(189,a,5408,a(flip),b,7214,a(flip))]. 7216 x * T(y * K(x,y),T(x,z)) = y * T(x,T(y,z)). [hyper(189,a,5377,a,b,7215,a(flip)),flip(a)]. 7217 T(x * K(y,T(x,z)),y) = T(x * K(y,x),T(y,z)). [hyper(147,a,5132,a,b,7216,a)]. 7218 x * T(y,T(x,z)) = y * T(x,K(y,z)). [para(6322(a,1),7216(a,1,2)),flip(a)]. 7219 x \ T(y * x,K(y,z)) = T(y,T(x,z)). [hyper(75,a,6727,a,b,7218,a)]. 7220 x \ T(y * x,K(y,z)) = T(T(y,x),K(x,z)). [hyper(189,a,6323,a,b,7219,a)]. 7221 x \ T(y * x,K(y,z)) != u | T(y,T(x,z)) = u. [para(7220(a,2),6331(a,1))]. 7222 T(x * K(y \ z,x),T(y \ z,z)) = T(x * K(z / y,x),y \ z). [para(6029(a,1),7217(a,1,1,2)),flip(a)]. 7223 T(x * K(y \ z,x),T(y \ z,y)) = T(x * K(z / y,x),y \ z). [para(6033(a,1),7217(a,1,1,2)),flip(a)]. 7224 T(x * K(y / z,x),z \ y) = T(x,K(z \ y,y)). [hyper(6325,a,7222,a),flip(a)]. 7225 T(x * K(y / z,x),z \ y) = T(x * K(z,x),T(z,y)). [hyper(189,a,6708,a(flip),b,7223,a(flip))]. 7226 T(x * K(y \ z,x),T(y \ z,z)) = T(x * K(y,x),T(y,z)). [hyper(189,a,7222,a,b,7225,a(flip)),flip(a)]. 7227 T(x,y * ((z * (y \ z)) / z)) = K(x,z) * T(x * K(y,x),T(y,z)). [para(7226(a,1),6684(a,1,2)),flip(a)]. 7228 T(x,y * ((z * (y \ z)) / z)) = T(x,T(z,y)). [hyper(189,a,6682,a(flip),b,7227,a)]. 7229 T(x,T(y,z \ y)) = T(x,T(y,z)). [para(3330(a,1),7228(a,1,2))]. 7230 T(x,T(y,z \ 1)) = T(x,T(y,z)). [hyper(189,a,6709,a,b,7229,a(flip)),flip(a)]. 7231 T(x,T(y,z \ 1)) = x * K(x,T(y,z)). [hyper(189,a,4396,a(flip),b,7230,a)]. 7232 T(x * y,T(z,y)) = T(x * y,T(z,x)). [hyper(189,a,6392,a(flip),b,7230,a(flip))]. 7233 T(K(x,y),z \ 1) = K(x,T(y,z)). [hyper(5372,a,7231,a)]. 7234 K(x,T(y,z \ 1)) = K(x,T(y,z)). [hyper(4436,a,7231,a)]. 7235 K(x,y) * K(x,K(y,z)) = T(K(x,y),z \ 1). [hyper(189,a,6012,a,b,7233,a),flip(a)]. 7236 K(x,T(y,z \ y)) = K(x,T(y,z)). [hyper(5497,a,7234,a)]. 7237 K(x * y,T(z,y)) = K(x * y,T(z,x)). [hyper(189,a,5423,a(flip),b,7234,a(flip)),flip(a)]. 7238 K(x,T(y,z \ x)) = K(x,T(y,z)). [hyper(189,a,5422,a(flip),b,7234,a(flip)),flip(a)]. 7239 K(x,T(y,z \ u)) = K(x,T(y,u \ z)). [para(5471(a,1),7234(a,1,2))]. 7240 K((x \ y) / z,T(y,x)) = K(z \ (x \ y),y). [hyper(6106,a,7236,a),flip(a)]. 7241 T(T(x,y) * z,T(x,z)) = T(T(x,y) * z,x). [para(171(a,1),7232(a,2,2))]. 7242 T(x * L(L(y,z,u),w,v5),T(y,x)) = T(x * L(L(y,z,u),w,v5),y). [para(750(a,1),7232(a,1,2)),flip(a)]. 7243 K(x * R(y,z,u),T(y,x)) = K(x * R(y,z,u),y). [para(668(a,1),7237(a,1,2)),flip(a)]. 7244 K(R(x,y,z) * u,T(x,u)) = K(R(x,y,z) * u,x). [para(668(a,1),7237(a,2,2))]. 7245 K(x,T(y,z \ x)) != u | K(x,T(y,z)) = u. [para(7239(a,1),5494(a,1))]. 7246 K(x,T(y,z \ 1)) != u | K(x,T(y,z)) = u. [para(5422(a,2),7245(a,1))]. 7247 K(x,T(y,z \ u)) != w | K(x,T(y,u \ z)) = w. [para(5477(a,1),7245(a,1))]. 7248 K(x,T(T(y,z),u \ y)) != w | K(x,T(T(y,z),u)) = w. [para(6559(a,1),7246(a,1))]. 7249 K(x,K(y,z \ 1)) = K(x,K(y,z)). [hyper(20,a,5958,a,b,7235,a),flip(a)]. 7250 K(x \ 1,K(y,z)) = K(y,K(z,x)). [hyper(6098,a,7235,a(flip))]. 7251 K(x,K(y,z \ 1)) = K(x,K(z,y)). [hyper(189,a,5983,a,b,7249,a)]. 7252 R(K(x,K(y,z \ 1)),u,w) = K(x,K(y,R(z,u,w))). [hyper(189,a,6460,a,b,7249,a(flip)),flip(a)]. 7253 K(x,K(y,z \ K(u,w))) = K(x,K(y,K(w,u) * z)). [para(5268(a,1),7249(a,1,2))]. 7254 K(K(x,y) * z,z) = K(x,K(y,z)). [hyper(6915,a,7250,a)]. 7255 K(x \ 1,K(y,z)) = K(y,K(x,z)). [hyper(189,a,5983,a,b,7250,a)]. 7256 L(K(x \ 1,K(y,z)),u,w) = K(y,K(z,L(x,u,w))). [hyper(189,a,4824,a,b,7250,a(flip)),flip(a)]. 7257 K(x,K(y,z \ 1)) != u | K(x,K(y,z)) = u. [para(7251(a,2),5991(a,1))]. 7258 (x * (K(y,z) * x)) * K(y,K(z,x)) != x * u | T(K(y,z) * x,x) = u. [para(7254(a,1),294(a,1,2))]. 7260 K(x,K(y,z / (u * z))) != w | K(x,K(y,u)) = w. [para(4776(a,2),7257(a,1,2))]. 7261 K(x,K(y,z \ u)) != w | K(x,K(y,u \ z)) = w. [para(5258(a,1),7257(a,1,2))]. 7262 K((x \ R(y,z,u)) / w,R(T(y,x),z,u)) = K(w \ (x \ R(y,z,u)),R(y,z,u)). [para(45(a,2),7240(a,1,2))]. 7263 R(T(x,y),z,x) * T(z,x) = T(T(x,y) * z,x). [hyper(189,a,5848,a,b,7241,a(flip)),flip(a)]. 7264 K(x,T(y,(z \ u) \ x)) != w | K(x,T(y,u \ z)) = w. [para(7238(a,2),7247(a,1))]. 7265 T(T(T(x,y),z) * T(y,x),T(T(x,y),z)) = T(T(x,z) * y,x). [hyper(189,a,7154,a,b,7263,a(flip)),flip(a)]. 7266 T(x,y) * K(y * R(x,z,u),x) = R(x,y,R(x,z,u)). [para(7243(a,1),4504(a,1,2))]. 7267 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(7243(a,2),5976(a,2,1))]. 7268 R(K(x,K(y,z)),u,w) = K(x,K(y,R(z,u,w))). [para(7249(a,1),7252(a,1,1))]. 7269 R(K(x,K(y,z)),u,w) = K(x,K(z,R(y,u,w))). [para(7251(a,1),7252(a,1,1))]. 7270 K(x,K(y,R(z,y,u))) = K(x,K(y,z)). [hyper(189,a,6459,a(flip),b,7268,a(flip))]. 7271 K(x,K(y,R(z,u,w))) = K(x,K(z,R(y,u,w))). [hyper(189,a,7268,a(flip),b,7269,a(flip))]. 7272 K(x,R(K(y,z),u,w)) = K(x,K(z,R(y,u,w))). [hyper(189,a,6458,a(flip),b,7269,a(flip)),flip(a)]. 7273 K(x,K(y,R(x \ z,u,w))) = K(x,K(z,R(y,u,w))). [hyper(6266,a,7271,a),flip(a)]. 7274 K(R(K(x,y),z,u),w) = K(y,K(w,R(x,z,u))). [hyper(189,a,6456,a,b,7272,a(flip)),flip(a)]. 7275 K(x,K(y,R(x,z,u))) = 1. [hyper(189,a,2667,a(flip),b,7272,a(flip))]. 7276 T(x,K(y,R(x,z,u))) = x. [hyper(40,a,7275,a)]. 7277 T(T(x,y),K(z,R(x,u,w))) = T(x,y). [para(7276(a,1),41(a,1,1)),flip(a)]. 7278 K(x * R(T(y,z),u,w),T(y,v5)) = K(x * R(y,u,w),T(y,v5)). [para(7277(a,1),7202(a,1,2))]. 7279 K(x,K(y,K(z,u) * w)) * y = T(y,K(x,w \ K(u,z))). [para(7253(a,1),5971(a,1,1))]. 7280 L(K(x,K(y,z)),u,w) = K(x,K(z,L(y,u,w))). [para(7255(a,1),7256(a,1,1))]. 7281 L(K(x,K(y,z)),u,w) = K(y,K(z,L(x,u,w))). [para(5966(a,1),7280(a,1,1))]. 7282 K(x,K(y,L(z,u,w))) = K(z,K(y,L(x,u,w))). [hyper(189,a,7280,a(flip),b,7281,a(flip))]. 7283 K(L(K(x,y),z,u),w) = K(y,K(w,L(x,z,u))). [hyper(189,a,6454,a(flip),b,7281,a(flip)),flip(a)]. 7284 K(x,K(y \ z,L(y,u,w))) = K(y,K(z,L(x,u,w))). [hyper(6266,a,7282,a),flip(a)]. 7285 K(L(K(x,y),z,u),w) = K(w,K(y,L(x,z,u))). [hyper(189,a,5966,a,b,7283,a)]. 7286 K(x,L(K(y,z),u,w)) = K(x,K(z,L(y,u,w))). [hyper(189,a,6461,a(flip),b,7283,a(flip)),flip(a)]. 7287 x * K(L(K(y,z),u,w),x) = T(x,K(z,L(y,u,w))). [para(7283(a,2),5970(a,1,2))]. 7288 K(L(K(x,x \ y),z,u),w) = K(x,K(y,L(w,z,u))). [hyper(189,a,7285,a,b,7284,a(flip)),flip(a)]. 7289 T(x,L(K(y,z),u,w)) = T(x,K(z,L(y,u,w))). [hyper(6370,a,7287,a)]. 7290 L(K(x,y),z / K(x,y),u) \ (u * z) = T(u * (z * K(y,x)),K(y,L(x,z,u))). [hyper(189,a,6623,a,b,7289,a(flip)),flip(a)]. 7291 K(x * R(y,z,u),y) * K(y,x) = y \ R(y,x,R(y,z,u)). [hyper(75,a,7266,a(flip),b,4545,a),flip(a)]. 7292 T(x,y) * (K(y * R(x,z,u),x) * w) = R(x,y,R(x,z,u)) * w. [para(7266(a,1),3837(a,1,1)),flip(a)]. 7293 T(x,K(y,z \ K(u,w))) = T(x,K(y,K(w,u) * z)). [hyper(5973,a,7279,a),flip(a)]. 7294 T(x,K(y,z \ K(u,y))) = T(x,K(y,z)). [para(6179(a,1),7293(a,2,2))]. 7295 T(x,K(y,z \ 1)) = T(x,K(y,z)). [para(123(a,1),7294(a,1,2,2,2))]. 7296 T(x,K(y,z \ 1)) = T(x,K(z,y)). [hyper(189,a,6118,a,b,7295,a)]. 7297 T(x,K(y,z \ u)) = T(x,K(y,u \ z)). [para(5258(a,1),7295(a,1,2))]. 7298 T(x,K(y \ z,u)) = T(x,K(u,z \ y)). [para(5258(a,1),7296(a,1,2)),flip(a)]. 7299 T(x,K(y,z \ x)) = T(x,K(y,z)). [hyper(6665,a,7297,a),flip(a)]. 7300 L(x,y,z) \ L(T(x,K(u,w)),y,z) = K(L(x,y,z),K(u,w \ x)). [para(7299(a,1),4397(a,1,2,1))]. 7301 T(x,K(y \ z,u)) != w | T(x,K(z \ y,u)) = w. [para(7298(a,2),6121(a,1))]. 7302 T(x,K(y \ z,z)) != u | T(x,K(z,y)) = u. [para(7298(a,2),6016(a,1))]. 7303 T(x * K(y / z,x),z \ y) = T(x,K(y,z)). [hyper(7302,a,7224,a(flip)),flip(a)]. 7304 T(T(x,K(y,z)),y / z) = T(x,z \ y). [para(7303(a,1),4420(a,1,1))]. 7305 T(K(x,y) * z,x / z) = T(K(x,y) * z,z \ x). [para(6185(a,1),7304(a,1,1))]. 7306 K(x,y) * T(K(y,x) * z,y / z) = T(z,z \ T(y,x)). [para(7305(a,2),6851(a,1,2))]. 7307 T(x * K(y,z),y / x) * K(z,y) = T(x,x \ T(y,z)). [hyper(3957,a,7306,a)]. 7308 T(x,x \ T(y,z)) * K(y,z) = T(x * K(y,z),y / x). [hyper(3929,a,7307,a)]. 7309 (x / y) * T(x * (y / x),z) = T(x * K(y,z),y / x). [hyper(189,a,5172,a(flip),b,7308,a(flip)),flip(a)]. 7310 T(x * K(y * x,z),(y * x) / x) = (x / (y * x)) * T(x * y,z). [para(18(a,1),7309(a,1,2,1,2)),flip(a)]. 7311 R(x * (y * R(x,z,u)),K(y * R(x,z,u),x),K(x,y)) \ (((y * R(x,z,u)) * x) * K(x,y)) = x \ R(x,y,R(x,z,u)). [hyper(189,a,399,a,b,7291,a(flip)),flip(a)]. 7312 K(R(x,y,z) * u,T(x,u)) * K(T(x,u),u) = T(x,u) \ R(T(x,u),u,R(T(x,u),y,z)). [para(160(a,1),7291(a,1,1,1))]. 7313 K((T(T(x,y),z) * T(y,x)) \ u,T(x,y)) = K(T(T(x,z) * y,x) \ u,T(x,y)). [para(7265(a,1),6414(a,1,1,1)),flip(a)]. 7314 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(7278(a,1),4654(a,1,1,2))]. 7316 K(L(x,y,z),K(u,w \ x)) = K(L(x,y,z),K(u,w)). [hyper(4513,a,7300,a),flip(a)]. 7317 K(L(x,y,z),K(u,w \ x)) = K(u,K(w,L(x,y,z))). [hyper(189,a,5969,a,b,7316,a)]. 7318 T(x,K(y \ z,L(z,u,w))) = (K(x,K(y,L(z,u,w))) * v5) / (x \ v5). [para(7317(a,1),5986(a,1,1,1)),flip(a)]. 7319 (x / (y * x)) * T(x * y,z) = T(x * K(y * x,z),y). [para(18(a,1),7310(a,1,2)),flip(a)]. 7320 T(x,K(y \ z,L(z,u,w))) = T(x,K(y,L(z,u,w))). [hyper(189,a,4550,a(flip),b,7318,a)]. 7321 T(x,K(y \ z,L(y,u,w))) = T(x,K(z,L(y,u,w))). [hyper(7301,a,7320,a)]. 7322 T(K(x,y) * z,z) = z * K(x,y). [hyper(7258,a,6607,a)]. 7324 T(x * K(x / y,z),x) = x * K(y \ x,z). [para(6063(a,1),7322(a,1,1))]. 7325 (x \ (x * K(y \ x,z))) \ (x * K(x / y,z)) = L(x,K(y \ x,z),x). [para(7322(a,1),7133(a,1,1,2))]. 7326 K(x / T(y,x),z) = K(y \ x,z). [hyper(7126,a,7324,a)]. 7328 K((x \ 1) \ y,z) = K(x * y,z). [para(4240(a,1),7326(a,1,1)),flip(a)]. 7331 K(x \ y,z) \ (y * K(y / x,z)) = L(y,K(x \ y,z),y). [para(16(a,1),7325(a,1,1))]. 7332 L(x,K(y \ x,z),x) = x. [hyper(6129,a,7331,a)]. 7334 L(x,K(y,z),x) = x. [para(69(a,1),7332(a,1,2,1))]. 7337 (1 / x) \ K(y,z) = x * K(y,z). [para(7334(a,1),4261(a,1,1)),flip(a)]. 7338 (1 / x) * (x * K(y,z)) = K(y,z). [para(7337(a,1),17(a,1,2))]. 7339 (1 / x) \ K(y,z) != x * u | K(y,z) = u. [para(7337(a,2),22(a,1))]. 7341 (x \ 1) * K(y,z) = x \ K(y,z). [para(67(a,1),7337(a,1,1)),flip(a)]. 7342 L(K(x,y),z \ 1,z) = K(x,y). [hyper(4218,a,7338,a)]. 7343 L(K(x,y),z,z \ 1) = K(x,y). [hyper(2390,a,7338,a)]. 7344 (1 / x) \ K(y,z) != u | x * K(y,z) = u. [para(7338(a,1),237(a,1,2)),flip(b)]. 7345 K((x * y) \ 1,z) = K(y \ (x \ 1),z). [hyper(189,a,5528,a(flip),b,7342,a(flip)),flip(a)]. 7347 K(x,y) * (1 / z) = K(x,y) / z. [para(7343(a,1),4216(a,1,1))]. 7350 (x \ K(y,z)) \ (x \ 1) = K(z,y). [para(7341(a,1),3918(a,1,1))]. 7352 1 / (x \ K(y,z)) = K(y,z) \ x. [hyper(75,a,67,a(flip),b,7347,a),flip(a)]. 7353 (K(x,y) / z) \ 1 = z * K(y,x). [para(7350(a,1),223(a,1,2)),flip(a)]. 7354 (K(x,y) \ z) \ 1 = z \ K(x,y). [para(7352(a,1),69(a,1,1))]. 7356 1 / (x * K(y,z)) = K(z,y) / x. [para(7353(a,1),67(a,1,2))]. 7358 (K(x,y) * z) \ 1 = z \ K(y,x). [para(3889(a,1),7354(a,1,1))]. 7359 T(x,y * (((z * K(u,w)) \ 1) \ v5)) = T(x,y * ((K(w,u) / z) \ v5)). [para(7356(a,1),4135(a,1,2,2,1)),flip(a)]. 7360 K((x * (y \ 1)) \ 1,z) = K(y * (x \ 1),z). [hyper(189,a,7328,a(flip),b,7345,a)]. 7363 K((x \ 1) * (y \ 1),z) = K((y * x) \ 1,z). [hyper(189,a,5571,a(flip),b,7360,a(flip))]. 7364 K(x * (((x \ y) \ 1) \ 1),z) / (x \ T(y,z)) = 1 / (x \ y). [para(7360(a,1),5717(a,1,1))]. 7365 K(((x \ 1) * y) \ 1,z) = K((y \ 1) * x,z). [hyper(189,a,5561,a(flip),b,7363,a(flip))]. 7366 T(x,y) / ((1 / z) \ x) = K((z \ 1) * ((z \ 1) \ x),y) / z. [para(7365(a,1),5638(a,2,1))]. 7367 K(x,y) / (z \ T(x,y)) = 1 / (z \ x). [para(5565(a,1),7364(a,1,1))]. 7368 (1 / (x \ y)) \ K(y,z) = x \ T(y,z). [para(7367(a,1),69(a,1,1))]. 7370 (x \ y) * K(y,z) = x \ T(y,z). [hyper(7344,a,7368,a)]. 7371 (x / y) \ T(x,z) = y * K(x,z). [hyper(455,a,7370,a),flip(a)]. 7373 T(x,y) * K(x * y,z) = y \ T(x * y,z). [para(35(a,2),7370(a,1,1))]. 7375 (x \ T(y,z)) * K(z,y) != u | x \ y = u. [para(7370(a,1),3921(a,1,1)),flip(b)]. 7377 (x / y) * (y * K(x,z)) = T(x,z). [para(7371(a,1),17(a,1,2))]. 7378 (x \ y) / (z * K(y / x,x)) = (y / x) / z. [hyper(76,a,115,a(flip),b,7377,a)]. 7380 T(x,y) = (x / (y * x)) * (x * y). [para(95(a,1),7377(a,1,2)),flip(a)]. 7381 T(x,y) / (x * y) = R(1 / y,y,x). [hyper(76,a,7380,a,b,285,a)]. 7382 (x / (y * x)) * T(x * y,z) = T(x,y) * K(x * y,z). [para(7380(a,2),5139(a,1,1)),flip(a)]. 7383 R(1 / x,x,T(y,x)) = R(1 / x,x,y). [hyper(538,a,7381,a)]. 7384 (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(7381(a,1),1724(a,1,1)),flip(a)]. 7385 R(1 / x,x,y / x) = R(1 / x,x,x \ y). [para(115(a,1),7383(a,1,3)),flip(a)]. 7386 (1 / (x \ T(y,z))) \ K(z,y) = x \ y. [hyper(7375,a,7337,a(flip)),flip(a)]. 7388 (T(x,y) / z) \ x = (1 / z) \ K(y,x). [para(69(a,1),7386(a,1,1,2)),flip(a)]. 7389 K(x,(1 / (y \ T(L(L(x,z,u),w,v5),v6))) \ K(v6,L(L(x,z,u),w,v5))) = K(x,L(L(x,z,u),w,v5) / y). [para(7386(a,2),5411(a,2,2)),flip(a)]. 7390 T(x,y) * K(z,K(u,x * y)) = y \ T(x * y,K(z,u)). [para(5969(a,2),7373(a,1,2))]. 7391 (x \ y) / (z * K(x \ y,x)) = (y / x) / z. [para(3896(a,1),7378(a,1,2,2))]. 7392 R(1 / x,x,x \ y) \ (y / x) = x * (y / x). [para(7385(a,1),290(a,1,1))]. 7393 (x \ y) / (z / T(x,x \ y)) = (y / x) / (z / x). [para(5178(a,1),7391(a,1,2))]. 7394 ((x \ y) / y) * (x * (y / x)) = y / x. [para(7392(a,1),609(a,1,2))]. 7395 K(x,(y * (z / y)) / ((z / y) * x)) = K(x,((y \ z) / z) \ (x \ 1)). [para(7394(a,1),6758(a,1,2,2,1))]. 7396 (x \ y) / (1 / T(x,x \ y)) = L(y,x,x \ 1). [hyper(189,a,4215,a(flip),b,7393,a)]. 7397 L(x,y,y \ 1) != z | (y \ 1) \ (y \ x) = z. [para(7396(a,1),4288(a,1))]. 7398 T(x * K(y * x,z),y) = T(x,y) * K(x * y,z). [hyper(189,a,7319,a(flip),b,7382,a(flip)),flip(a)]. 7399 K(x,y * z) * T(y * K(z * y,x),z) = T(T(y,z),K(x,y * z)). [para(7398(a,2),6122(a,1,2))]. 7400 T(x,y) / ((1 / z) \ x) = K(x,y) / z. [para(17(a,1),7366(a,2,1,1))]. 7401 T(x,y) / ((1 / y) \ x) = 1 / T(y,x). [hyper(189,a,4362,a(flip),b,7400,a)]. 7402 T(x,y * L(y \ 1,y,z)) / ((1 / (y * L(y \ 1,y,z))) \ x) = 1 / (y * ((z * y) \ z)). [para(5810(a,1),7401(a,2,2))]. 7403 T(x,y * ((K(z,z \ 1) / u) \ w)) = T(x,y * ((u \ K(z,z \ 1)) \ w)). [para(3246(a,1),7359(a,1,2,2,1)),flip(a)]. 7404 K(x,(y * (z / y)) / ((z / y) * x)) = K(x,z / ((y \ z) * x)). [hyper(189,a,6761,a(flip),b,7395,a)]. 7405 K(x,R(x \ y,x,z / y)) = K(x,z / ((y \ z) * x)). [hyper(189,a,6762,a,b,7404,a(flip)),flip(a)]. 7406 K(x,R(x \ (y / z),x,y / (y / z))) = K(x,y / (z * x)). [para(69(a,1),7405(a,2,2,2,1))]. 7407 K(x,y * z) * T(y * K(z * y,x),z) = T(T(y,K(z,x)),z). [hyper(189,a,6670,a(flip),b,7399,a)]. 7408 K(x,y * z) * T(y * K(z * y,x),z) = T(y,T(z,x)). [hyper(189,a,6321,a(flip),b,7407,a)]. 7409 T(x,(K(y \ 1,y) * z) * ((u \ 1) \ w)) = T(x,z * ((u \ K(y,y \ 1)) \ w)). [hyper(189,a,5740,a,b,7403,a(flip)),flip(a)]. 7410 T(T(x * K(y * R(x,z,u),x),w),y) = R(T(x,w),y,R(T(x,w),z,u)). [para(4653(a,1),7314(a,1,1))]. 7411 R(T(x,y),z,R(T(x,y),u,w)) = R(T(x,y),z,R(x,u,w)). [hyper(189,a,5651,a(flip),b,7410,a(flip))]. 7412 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(7411(a,1),7292(a,2,1))]. 7413 K((T(x,y) \ R(x,z,u)) / w,R(x,z,u)) = K(w \ (T(x,y) \ R(x,z,u)),R(x,z,u)). [para(171(a,1),7262(a,1,2,1))]. 7414 L(K(x,x \ y),z / K(x,x \ y),u) \ (u * z) = T(u * (z * K(x \ y,x)),K(y,L(x,z,u))). [hyper(189,a,7321,a(flip),b,7290,a)]. 7415 K((T(T(x,y),z) * T(y,x)) \ u,T(x,y)) = K((T(x,z) * y) \ u,T(x,y)). [hyper(189,a,6244,a(flip),b,7313,a)]. 7416 K((T(T(x,y),z) * T(y,x)) \ u,T(x,y)) = K(u / (T(x,z) * y),x). [hyper(189,a,6830,a(flip),b,7415,a)]. 7417 K(T(x,y) \ (T(y,x) \ z),T(y,x)) = K(z / (T(y,u) * x),y). [hyper(189,a,7004,a(flip),b,7416,a(flip)),flip(a)]. 7419 K(T(x,y) \ (y \ z),T(y,x)) = K(z / (T(y,u) * x),y). [hyper(189,a,6571,a(flip),b,7417,a(flip)),flip(a)]. 7420 K(x / (T(y,z) * u),y) = K((y \ x) / u,y). [hyper(6332,a,7419,a),flip(a)]. 7422 K(x / (T(y,z) * u),y) = K(x / (u * y),y). [hyper(6451,a,7420,a(flip)),flip(a)]. 7423 K((x \ y) / z,x) = K(y / (x * z),x). [para(112(a,1),7420(a,1,1,2,1)),flip(a)]. 7424 K(x / (y * z),y) != u | K(x / (z * y),y) = u. [para(7423(a,1),6451(a,1))]. 7425 K((T(x,y) \ z) / u,x) = K(z / (u * x),x). [hyper(189,a,7024,a,b,7422,a(flip)),flip(a)]. 7427 T(x,K(y \ 1,y) * (z * ((u \ 1) \ w))) = T(x,z * ((u \ K(y,y \ 1)) \ w)). [para(3184(a,1),7409(a,1,2))]. 7428 T(x,y * ((z \ K(u,u \ 1)) \ w)) = T(x,y * ((z \ 1) \ w)). [hyper(189,a,4082,a(flip),b,7427,a(flip))]. 7430 K(x,y * ((z \ K(u,u \ 1)) \ w)) = x \ T(x,y * ((z \ 1) \ w)). [hyper(75,a,7428,a(flip),b,4396,a(flip)),flip(a)]. 7431 K(x,y * ((z \ K(u,u \ 1)) \ w)) = K(x,y * ((z \ 1) \ w)). [hyper(189,a,4360,a,b,7430,a)]. 7432 K(x,y * ((1 / z) \ u)) = K(x,y * ((z \ 1) \ u)). [para(1537(a,1),7431(a,1,2,2,1))]. 7433 K(x,(y \ 1) * ((1 / y) \ z)) = K(x,z). [para(17(a,1),7432(a,2,2))]. 7434 K(x,K(y \ 1,y) * z) = K(x,z). [para(2405(a,1),7433(a,1,2))]. 7435 K(x,((y \ 1) \ 1) \ z) = K(x,y \ z). [para(2445(a,1),7434(a,1,2))]. 7436 K(x,y * K(z,z \ 1)) = K(x,y). [para(2481(a,1),7434(a,1,2)),flip(a)]. 7437 K(x,(y \ L(y * (z / y),u,w)) * y) = K(x,L(z * K(y,y \ 1),u,w)). [para(2955(a,1),7434(a,1,2))]. 7438 K(x,(K(y \ 1,y) * z) / u) = K(x,z / u). [para(3185(a,2),7434(a,1,2))]. 7439 K(x,y \ ((z \ 1) \ 1)) = K(x,y \ z). [para(3450(a,1),7434(a,1,2)),flip(a)]. 7440 K(x,(K(y,y \ 1) * z) \ u) = K(x,z \ u). [para(4121(a,2),7434(a,1,2))]. 7441 K(x,y / (K(z,z \ 1) * u)) = K(x,y / u). [para(4143(a,2),7434(a,1,2))]. 7442 K(x,y \ (K(z,z \ 1) * u)) = K(x,y \ u). [para(4128(a,2),7436(a,1,2))]. 7443 K(x \ 1,y / (z * (x \ 1))) = K(x \ 1,(z / y) \ x). [hyper(189,a,6761,a(flip),b,7439,a(flip)),flip(a)]. 7444 K(x \ 1,R(y * (x \ 1),z,u) \ 1) = R(K(x \ 1,y \ x),z,u). [para(7439(a,1),5671(a,1,1)),flip(a)]. 7446 K(x,(y * (1 / z)) / u) = K(x,(y * (z \ 1)) / u). [para(2446(a,1),7438(a,1,2,1)),flip(a)]. 7447 K(x,(K(y \ 1,y) * z) \ u) = K(x,z \ u). [para(1538(a,1),7440(a,1,2,1,1))]. 7448 K(x,(y * (1 / z)) \ u) = K(x,(y * (z \ 1)) \ u). [para(2416(a,1),7440(a,1,2,1))]. 7449 K(x,y / (K(z \ 1,z) * u)) = K(x,y / u). [para(1538(a,1),7441(a,1,2,2,1))]. 7450 K(x,y / (z * (u / ((w \ 1) \ 1)))) = K(x,y / (z * (u / w))). [para(4116(a,1),7441(a,1,2,2)),flip(a)]. 7451 K(x,y \ (((z \ 1) \ 1) * u)) = K(x,y \ (z * u)). [para(2365(a,1),7442(a,1,2,2))]. 7452 K(x,((((y \ 1) \ 1) * z) \ u) \ w) = K(x,((y * z) \ u) \ w). [para(4127(a,1),7447(a,1,2,1))]. 7453 K(x,L(K(y \ 1,y) * z,u,w) \ v5) = K(x,L(z,u,w) \ v5). [para(5064(a,2),7447(a,1,2,1))]. 7454 K(x,y / ((((z \ 1) \ 1) \ u) * w)) = K(x,y / ((z \ u) * w)). [para(3221(a,1),7449(a,1,2,2))]. 7455 K(x,y / ((z / (1 / u)) * w)) = K(x,y / ((z / (u \ 1)) * w)). [para(3222(a,1),7449(a,1,2,2))]. 7456 K(x,(y * ((z \ 1) \ 1)) / u) = K(x,(y * z) / u). [para(67(a,1),7446(a,1,2,1,2)),flip(a)]. 7457 K(x \ 1,y / (z * (x \ 1))) = K(x \ 1,(y * x) / z). [hyper(189,a,7119,a(flip),b,7456,a(flip)),flip(a)]. 7458 K(x \ 1,y / R(z,x,x \ 1)) = K(x \ 1,(y * x) / (z * x)). [para(369(a,1),7457(a,1,2,2))]. 7459 K(x,y / (z * (x / ((z \ 1) \ 1)))) = K(x,(z * (x / z)) \ y). [hyper(189,a,5417,a(flip),b,7450,a)]. 7460 K(x,L((1 / y) * z,u,w) \ v5) = K(x,L((y \ 1) * z,u,w) \ v5). [para(2378(a,1),7453(a,1,2,1,1)),flip(a)]. 7461 K(x,y / ((z / ((u \ 1) \ 1)) * w)) = K(x,y / ((z / u) * w)). [para(67(a,1),7455(a,1,2,2,1,2)),flip(a)]. 7462 K(x,(y * (x / y)) \ z) = K(x,x \ z). [hyper(189,a,5816,a(flip),b,7459,a(flip))]. 7463 K(x,x \ (y * x)) = K(x,K(z \ x,z) * y). [hyper(6862,a,7462,a),flip(a)]. 7465 K(x,K(y \ x,y) * z) = K(x,z). [hyper(3940,a,7463,a),flip(a)]. 7467 K(x * y,K(y,x) * z) = K(x * y,z). [para(16(a,1),7465(a,1,2,1,1))]. 7468 K(x,K(y,y \ x) * z) = K(x,z). [para(3887(a,1),7465(a,1,2)),flip(a)]. 7469 (K(x,K(y \ z,y)) * K(z,x)) \ (x * K(y \ z,y)) = T(K(y \ z,y) * x,z). [para(7465(a,1),5179(a,1,1,2))]. 7470 K(x,y) * ((K(z,z \ x) * y) * x) = x * (K(z,z \ x) * y). [para(7468(a,1),4373(a,1,1))]. 7471 T((K(x,y) * z) * K(y * x,z),y * x) = K(x,y) * z. [para(7467(a,1),4374(a,1,1,2))]. 7472 (K(x,y) * z) * T(y * x,z) = (y * x) * (K(x,y) * z). [para(7471(a,1),5133(a,1,2)),flip(a)]. 7473 T(x,y) * T(K(z,z \ x) * y,x) = x * (K(z,z \ x) * y). [hyper(4691,a,7470,a)]. 7474 T(x,K(y,y \ x) * z) = T(x,z). [hyper(3556,a,7473,a)]. 7475 R(K(x,x \ y),z,T(y,K(x,x \ y) * z)) = (y * (K(x,x \ y) * z)) / (z * T(y,z)). [para(7474(a,1),155(a,1,2,2)),flip(a)]. 7476 K(x \ 1,y / R(z,x,x \ 1)) = K(x \ 1,y / z). [hyper(189,a,6946,a(flip),b,7458,a)]. 7477 K(x \ 1,y / T(z * (x \ 1),x)) = K(x \ 1,y / (x \ z)). [para(521(a,1),7476(a,1,2,2))]. 7478 K(x \ 1,y / (z * (x \ 1))) = K(x \ 1,y / (x \ z)). [hyper(189,a,6940,a(flip),b,7477,a(flip)),flip(a)]. 7479 K(x \ 1,y / (x \ z)) = K(x \ 1,(z / y) \ x). [hyper(189,a,7443,a(flip),b,7478,a(flip))]. 7480 R(K(x \ 1,(y / (z / u)) \ x),z / u,u) = K(x \ 1,z / ((x \ y) * u)). [para(7479(a,1),5678(a,1,1))]. 7481 K(x \ 1,R(y * (x \ 1),z,u) \ 1) != w | K(R(x,z,u) \ 1,y \ x) = w. [para(7444(a,2),4937(a,1))]. 7482 K(1 / x,L((x \ 1) * y,z,u) \ 1) = K(L(x,z,u) \ 1,y \ x). [hyper(7026,a,7460,a),flip(a)]. 7483 K(x \ 1,L((x \ 1) * y,z,u) \ 1) = K(L(x,z,u) \ 1,y \ x). [hyper(4254,a,7482,a)]. 7484 K(x,x * (x \ L(x * (y / x),z,u))) = K(x,L(y * K(x,x \ 1),z,u)). [hyper(4577,a,7437,a)]. 7485 K(x,L(y * K(x,x \ 1),z,u)) = K(x,L(x * (y / x),z,u)). [para(17(a,1),7484(a,1,2)),flip(a)]. 7487 K(x,L(K(x,x \ 1) * y,z,u)) = K(x,L(x * (y / x),z,u)). [para(2502(a,2),7485(a,1,2,1))]. 7488 K(x,L(x \ ((x \ 1) \ y),z,u)) = K(x,L(x * (y / x),z,u)). [hyper(189,a,7009,a,b,7487,a(flip)),flip(a)]. 7489 K(x,L(x \ ((x \ 1) \ y),z,u)) = K(x,L(y,z,u)). [hyper(189,a,5120,a(flip),b,7488,a)]. 7490 K(x,y \ (x \ (y * ((x \ 1) \ z)))) = K(x,L(z,x,y)). [hyper(7008,a,7489,a)]. 7491 K(R(x,y / z,z) \ 1,(u / (y / z)) \ x) = K(x \ 1,y / ((x \ u) * z)). [hyper(4937,a,7480,a)]. 7492 (K(x,K(y,y \ z)) * K(z,x)) \ (x * K(y \ z,y)) = T(K(y \ z,y) * x,z). [para(5983(a,1),7469(a,1,1,1))]. 7493 (K(x,K(y,z)) * K(z,x)) \ (x * K(y \ z,y)) = T(K(y \ z,y) * x,z). [para(5995(a,1),7492(a,1,1,1))]. 7494 K(x,T(y,z)) \ (y * K(z \ x,z)) = T(K(z \ x,z) * y,x). [para(5978(a,1),7493(a,1,1))]. 7495 K(x,T(y,z)) * (x * K(z \ y,z)) = T(K(z \ y,z) * x,y). [hyper(5402,a,7494,a)]. 7496 T(x,T(y,z)) * K(z \ y,z) = T(K(z \ y,z) * x,y). [hyper(4564,a,7495,a)]. 7497 T(K(x \ y,x) * z,y) = K(x \ y,x) * T(z,y). [hyper(189,a,6905,a(flip),b,7496,a(flip))]. 7498 T(K(x \ (y * x),x) * z,y * x) = K(y,x) * T(z,y * x). [para(3895(a,1),7497(a,2,1))]. 7499 T(K(x,y) * z,x * y) = K(x,y) * T(z,x * y). [para(3895(a,1),7498(a,1,1,1))]. 7500 T(x * K(y,z),z * y) = T(x,z * y) * K(y,z). [hyper(4992,a,7499,a),flip(a)]. 7501 (x * (y * z)) \ ((y * z) * T(x * K(z,y),y * z)) = L(K(z,y),T(x,y * z),y * z). [para(7500(a,2),153(a,1,2,2))]. 7502 1 * ((x \ R(x,y,z)) / K(u,R(x,w,v5))) = K(R(x,w,v5),u) * (x \ R(x,y,z)). [para(190(a,1),6336(a,1,1))]. 7504 1 * ((x \ R(x,y,z)) * K(R(x,u,w),v5)) = K(R(x,u,w),v5) * (x \ R(x,y,z)). [para(3890(a,1),7502(a,1,2))]. 7505 K(R(x,y,z),u) * (x \ R(x,y,z)) = 1 * (x \ R(T(x,u),y,z)). [para(5715(a,1),7504(a,1,2)),flip(a)]. 7506 K(R(x,y,z),u) * (x \ R(x,y,z)) = x \ R(T(x,u),y,z). [hyper(189,a,14,a(flip),b,7505,a)]. 7507 K(x,R(y,z,u)) * (y \ R(T(y,x),z,u)) = y \ R(y,z,u). [hyper(3907,a,7506,a)]. 7508 (x \ K(y,z)) * T((x \ K(y,z)) \ u,y) = x \ T(x * u,y). [para(17(a,1),6346(a,1,2,1)),flip(a)]. 7510 K(x,(y \ K(x,z)) \ u) = (y \ T(y * u,x)) \ u. [para(7508(a,1),5184(a,1,1)),flip(a)]. 7511 K(x,(y \ K(x,z)) \ u) = K(x,(y \ 1) \ u). [hyper(189,a,5243,a(flip),b,7510,a)]. 7512 K(x,((y \ 1) \ K(x,z)) \ u) = K(x,y \ u). [hyper(189,a,7435,a(flip),b,7511,a)]. 7513 K(x,((K(y,x) * (z \ 1)) \ 1) \ u) = K(x,z \ u). [para(7358(a,2),7512(a,1,2,1))]. 7514 K(x,(((y \ 1) * K(z,x)) \ 1) \ u) = K(x,y \ u). [para(6051(a,1),7513(a,1,2,1,1))]. 7515 K(x,((y * K(z,x)) \ 1) \ u) = K(x,(y \ 1) \ u). [hyper(189,a,7452,a(flip),b,7514,a(flip)),flip(a)]. 7516 K(x,((T(y,x) / z) \ 1) \ u) = K(x,((y / z) \ 1) \ u). [para(1097(a,1),7515(a,1,2,1,1))]. 7517 K(T(x,y * K(z * x,y)),T(u,x * z)) = K((x * K(x * z,x)) * K(x,y),u). [hyper(6268,a,6675,a)]. 7518 K(T(x,y * K(z * x,y)),T(u,z)) = K((x * K(x * z,x)) * K(x,y),u). [hyper(189,a,6453,a(flip),b,7517,a(flip)),flip(a)]. 7519 K((x * K(x * y,x)) * K(x,z),u) = K(x * K(T(x,y),z),T(u,y)). [hyper(189,a,6676,a(flip),b,7518,a(flip))]. 7520 K((x * K(x * y,x)) * K(x,z),u) = K(K(y,x) * T(x,z),u). [hyper(189,a,6404,a(flip),b,7519,a)]. 7521 K(T(x,y) * K(x * z,x),u) = K(K(z,x) * T(x,y),u). [para(4783(a,1),7520(a,1,1))]. 7522 K(K(x * y,x) * T(x,z),u) = K(K(y,x) * T(x,z),u). [para(2759(a,1),7521(a,1,1))]. 7523 K(K(x * y,x) * T(x,z),T(u,z)) = K(x,T(u,T(y,z))). [hyper(189,a,6658,a(flip),b,7522,a)]. 7524 K(x,T(y,T(x * z,u))) = K(x,T(y,T(z,u))). [hyper(6659,a,7523,a)]. 7525 K(x,T(x * y,T(y,z))) = K(x,x * y). [para(171(a,1),7524(a,1,2)),flip(a)]. 7526 K(x,T(x * T(y,z),y)) = K(x,x * T(y,z)). [para(6092(a,1),7525(a,1,2))]. 7527 K(T(x,y) \ z,T(z,T(x,z))) = K(T(x,y) \ z,(T(x,y) \ z) * T(x,y)). [hyper(189,a,4842,a(flip),b,7526,a(flip)),flip(a)]. 7528 K(T(x,y) \ z,T(z,T(x,z))) = K(T(x,y) \ z,T(x,y) * (T(x,y) \ z)). [hyper(189,a,4576,a,b,7527,a)]. 7529 K(T(x,y) \ z,T(z,T(x,z))) = K(T(x,y) \ z,z). [para(17(a,1),7528(a,2,2))]. 7530 K(T(x,y) \ z,T(z,x)) = K(T(x,y) \ z,z). [para(3521(a,1),7529(a,1,2))]. 7531 K(x,R(y,z,R(y,u,w))) = K(x,y). [hyper(20,a,7353,a(flip),b,6696,a)]. 7532 K(T(x,y),T(z,y)) = K(x,R(z,u,R(T(z,y),w,v5))). [hyper(6110,a,7531,a),flip(a)]. 7533 K(x,R(y,z,R(T(y,u),w,v5))) = K(x,y). [hyper(6101,a,7532,a),flip(a)]. 7535 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(7533(a,1),7507(a,1,1))]. 7536 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(4561,a,7535,a)]. 7537 K(x,y) * (y \ R(T(y,x),z,R(y,u,w))) = y \ R(y,z,R(T(y,x),u,w)). [para(7411(a,1),7535(a,1,2,2))]. 7538 R(x,y / x,z) \ R(T(x,T(u,y)),y / x,z) = K((y * z) / ((y / x) * z),u). [para(6389(a,1),6896(a,1,2,1))]. 7539 K(R(x,y / x,z),T(u,y)) = K((y * z) / ((y / x) * z),u). [hyper(4514,a,7538,a)]. 7540 K(R(x,y / x,z),u) = K((y * z) / ((y / x) * z),T(u,y)). [hyper(6079,a,7539,a)]. 7541 R(K((x / y) \ x,z),x,u) = K(R(y,x / y,u),z). [hyper(189,a,5762,a(flip),b,7540,a),flip(a)]. 7542 K(R(x,y / x,z),u) = R(K(x,u),y,z). [para(69(a,1),7541(a,1,1,1)),flip(a)]. 7543 R(K(x \ y,z),y,u) = K(R(x \ y,x,u),z). [para(67(a,1),7542(a,1,1,2)),flip(a)]. 7545 T(x * L(L(y,z,u),x,y),y * K(x,y)) = L(y * K(x,y),z,u) * T(x,y). [para(5055(a,1),6714(a,1,1))]. 7546 T(x * L(L(y,z,u),x,y),y * K(x,y)) = T(x,y) * L(y,z,u). [hyper(189,a,4508,a(flip),b,7545,a)]. 7547 T(x * L(L(y,x,y),z,u),y * K(x,y)) = T(x,y) * L(y,z,u). [para(48(a,1),7546(a,1,1,2))]. 7548 T(x * L(L(y,x,y),z,u),T(y,x)) = T(x,y) * L(y,z,u). [hyper(189,a,6093,a(flip),b,7547,a(flip)),flip(a)]. 7549 T(x * L(L(y,x,y),z,u),y) = T(x,y) * L(y,z,u). [hyper(189,a,7242,a(flip),b,7548,a(flip)),flip(a)]. 7550 K(x,L(L(x,y,x),z,u) / (y \ 1)) * (y \ (T(y,x) * L(x,z,u))) = L(L(x,y,x),z,u). [para(7549(a,1),4671(a,1,2,2))]. 7551 K(L(x,y * z,u),(x * y) \ (x * (y * z))) = K(x,L(L(z,y,x),x * y,u)). [para(16(a,1),6763(a,1,2,1))]. 7553 K(L(x,y * z,u),L(z,y,x)) = K(x,L(L(z,y,x),x * y,u)). [para(31(a,2),7551(a,1,2))]. 7554 K(L(x,y * z,u),z) = K(x,L(L(z,y,x),x * y,u)). [hyper(189,a,6779,a(flip),b,7553,a(flip)),flip(a)]. 7555 K(L(x,y * z,u),z) = K(x,L(z,x * y,u)). [hyper(189,a,6767,a(flip),b,7554,a)]. 7558 K(L(x,(x \ y) * z,u),z) = K(x,L(z,y,u)). [para(17(a,1),7555(a,2,2,2))]. 7559 K(x,L(y,x * (z / y),u)) = K(L(x,z,u),y). [para(19(a,1),7555(a,1,1,2)),flip(a)]. 7560 K(x,L(y,z,y)) = K(x,y). [hyper(189,a,6980,a(flip),b,7558,a(flip))]. 7561 K(x,y \ K(z,L(x,u,w))) = K(x,y \ 1). [para(7558(a,1),6182(a,1,2,2))]. 7562 T(x,L(y,z,y)) = x * K(x,y). [para(7560(a,1),4396(a,2,2))]. 7563 T(x,L(y,z,y)) = T(x,y). [hyper(189,a,4396,a,b,7562,a)]. 7564 T(x / L(y,z,y),y) = L(y,z,y) \ x. [hyper(307,a,7563,a),flip(a)]. 7565 T(x * L(y,x,y),L(y,z,y)) = T(x,y) * y. [hyper(189,a,3725,a(flip),b,7563,a)]. 7569 (x / L(y,z,y)) * y = y * (L(y,z,y) \ x). [para(7564(a,1),113(a,1,2)),flip(a)]. 7570 K(x,(T(L(x,y,z),u) \ w) \ 1) = K(x,w \ L(x,y,z)). [hyper(189,a,5593,a(flip),b,7561,a(flip))]. 7571 K(x,y \ K(z,L(L(x,u,w),v5,v6))) = K(x,y \ 1). [para(7558(a,1),7561(a,1,2,2))]. 7572 K(L(R(x,y,z),u,x),w) = K(R(x,y,z),w). [hyper(7025,a,7559,a),flip(a)]. 7573 T(x,y * K(L(x,z,u),w)) = T(x,y). [para(7559(a,1),6153(a,1,2,2))]. 7574 K(K(L(x,y,z),u) * w,x) = K(w,x). [para(7559(a,1),6201(a,1,1,1))]. 7575 T(x,L(x,y,z) * u) = T(x,u * L(x,y,z)). [para(95(a,1),7573(a,1,2))]. 7576 K(x,T(y,K(L(x,z,u),w) * v5)) = K(x * K(v5,x),y). [para(7574(a,1),6046(a,1,1,2)),flip(a)]. 7577 K(x * T(L(y,z,u),w),y) = K(x * L(y,z,u),y). [para(6095(a,1),7574(a,1,1))]. 7578 K(R(L(x,y,x),z,u),w) = K(R(x,z,u),w). [para(47(a,2),7572(a,1,1))]. 7579 ((x / L(T(y,z),u,T(y,z))) * K(y,z)) * y = T(y,z) * (L(T(y,z),u,T(y,z)) \ x). [hyper(5202,a,7569,a)]. 7580 K(x,T(y,z * L(y,u,w))) = K(x,T(y,z)). [para(7575(a,1),7029(a,1,2))]. 7581 K(x,T(y,z * (u * y))) = K(x,T(y,z * u)). [para(102(a,1),7580(a,1,2,2))]. 7582 K(x,T(y,z * (y * u))) = K(x,T(y,z * u)). [para(6164(a,1),7581(a,1,2))]. 7583 K(x * y,T(x,z * y)) = K(x * y,T(x,z)). [hyper(189,a,5412,a(flip),b,7582,a(flip))]. 7584 K(T(x,y) * z,T(x,u * z)) = K(x * z,T(x,u)). [hyper(189,a,6243,a,b,7583,a(flip)),flip(a)]. 7585 K(x * (y \ z),T(x,z)) = K(x * (y \ z),T(x,y)). [para(17(a,1),7583(a,1,2,2))]. 7586 K(x * L(T(y,z),u,w),y) = K(x * L(y,u,w),y). [para(43(a,2),7577(a,1,1,2))]. 7587 T(T(x * K(y * L(x,z,u),x),w),y) = R(T(x,w),y,L(T(x,w),z,u)). [para(7586(a,1),5050(a,1,1,1,2))]. 7588 K(x,T(y,K(L(x,z,u),w) * v5)) = K(x,T(y,v5)). [hyper(189,a,6046,a(flip),b,7576,a)]. 7589 K(x,T(y,K(x,z) * u)) = K(x,T(y,u)). [para(262(a,1),7588(a,1,2,2,1,1))]. 7590 K(x,T(y,z / L(x,u,w))) = K(x,T(y,L(x,u,w) \ z)). [para(4296(a,1),7588(a,1,2,2))]. 7591 K(x,T((K(x,y) * z) / u,z)) = K(x,u \ (K(x,y) * z)). [hyper(5325,a,7589,a),flip(a)]. 7592 K(x,T(y,T(z,x) \ u)) = K(x,T(y,z \ u)). [para(4558(a,1),7589(a,1,2,2))]. 7593 K(x,T(y,z * K(x,u))) = K(x,T(y,z)). [para(6024(a,1),7589(a,1,2,2))]. 7594 K(x,T(y,z * (u * x))) = K(x,T(y,z * (x * u))). [para(5943(a,1),7593(a,1,2,2)),flip(a)]. 7595 K(x,T(y,(z \ (x * u)) \ x)) = K(x,T(y,u \ z)). [hyper(7191,a,7592,a),flip(a)]. 7596 K(x,T(y,(x * z) \ u)) = K(x,T(y,z \ u)). [hyper(7264,a,7595,a)]. 7597 K(x,T(y,(x \ z) \ u)) = K(x,T(y,z \ u)). [para(17(a,1),7596(a,1,2,2,1)),flip(a)]. 7598 K(x,T(y,(z * u) \ ((x * z) * u))) = K(x,T(y,a(x,z,u))). [para(27(a,2),7596(a,1,2,2)),flip(a)]. 7599 K(x,T(y,z \ (x * u))) = K(x,T(y,z \ u)). [hyper(189,a,6997,a(flip),b,7597,a(flip)),flip(a)]. 7600 K(x,T(y,z \ (x \ u))) = K(x,T(y,z \ u)). [para(17(a,1),7599(a,1,2,2,2)),flip(a)]. 7601 T(x,T(y,z \ (x * u))) = x * K(x,T(y,z \ u)). [para(7599(a,1),4396(a,2,2))]. 7602 K(x,T(T(x \ y,z),u \ y)) = K(x,T(T(x \ y,z),u)). [hyper(7248,a,7600,a),flip(a)]. 7603 T(x,T(y,z \ (x * u))) = T(x,T(y,z \ u)). [hyper(189,a,4396,a,b,7601,a)]. 7604 T(x,T(y,z \ (x \ u))) = T(x,T(y,z \ u)). [para(17(a,1),7603(a,1,2,2,2)),flip(a)]. 7605 T(x,T(y \ (x \ z),y \ z)) = T(x,y \ (x \ z)). [para(112(a,1),7604(a,1,2)),flip(a)]. 7606 K(x,(L(T(x,y),z,u) \ w) \ 1) = K(x,w \ L(x,z,u)). [para(43(a,2),7570(a,1,2,1,1))]. 7607 K(x,T(y,z / L(x,u,w))) = K(x,T(y,z)). [hyper(189,a,6796,a(flip),b,7590,a)]. 7609 K(x,T(y,z * (u * x))) = K(x,T(y,z * u)). [para(128(a,1),7607(a,1,2,2)),flip(a)]. 7610 K(x,T(y,z * (x * u))) = K(x,T(y,z * u)). [hyper(189,a,7594,a(flip),b,7609,a(flip)),flip(a)]. 7611 K(x,T(x * y,z * y)) = K(x,T(x * y,z)). [hyper(5498,a,7610,a),flip(a)]. 7612 K(x,T(x * y,z * y)) = K(x,T(y * x,z)). [hyper(189,a,4579,a,b,7611,a)]. 7613 (x * y) / (x * (z \ T(z * y,z))) = L(K(z,T(y * z,x)),y,x). [para(7612(a,1),7053(a,1,1)),flip(a)]. 7614 K(x,T(y / z,y)) = K(x,z \ (K(x,u) * y)). [hyper(7185,a,7591,a)]. 7615 K(x,y \ (K(x,z) * u)) = K(x,y \ u). [hyper(5325,a,7614,a),flip(a)]. 7616 K(x,y \ ((x \ z) * x)) = K(x,y \ z). [para(4293(a,1),7615(a,1,2,2)),flip(a)]. 7617 K(x,y \ (z * x)) = K(x,y \ (x * z)). [para(4373(a,1),7615(a,1,2,2)),flip(a)]. 7618 K(x,T(y \ (K(x,z) * u),w)) = T(K(x,y \ u),w). [para(7615(a,1),5334(a,2,1))]. 7619 K(x,y \ (z * K(u,x))) = K(x,y \ z). [para(6052(a,1),7615(a,1,2,2)),flip(a)]. 7620 K(x,y \ ((x \ 1) * (z * x))) = K(x,y \ z). [para(486(a,2),7616(a,1,2,2))]. 7621 K(x,K(y,z \ (y \ u))) = K(x,K(y,z \ u)). [para(7616(a,1),6897(a,1,2)),flip(a)]. 7622 K(x,y \ (z \ T(u,x))) = K(x,y \ (z \ u)). [para(1077(a,1),7619(a,1,2,2))]. 7623 K(x / y,z \ (x / y)) = K(x / y,z \ (y \ x)). [para(4305(a,1),7619(a,1,2,2))]. 7624 (K(x,K(y,z \ u)) * w) / (y \ w) = T(y,K(x,z \ (y \ u))). [para(7621(a,1),5974(a,1,1,1))]. 7625 K(x,y \ ((T(z,x) / u) \ z)) = K(x,y \ u). [para(69(a,1),7622(a,1,2,2)),flip(a)]. 7626 K(x,((T(y,x) / z) \ 1) \ z) = z \ ((T(y,x) / z) \ y). [hyper(189,a,5509,a(flip),b,7625,a(flip))]. 7627 K(x,T(y \ (K(x,z) * u),w)) = K(x,T(y \ u,w)). [hyper(189,a,5334,a,b,7618,a)]. 7628 K(x / y,z \ (x / y)) = K(y \ x,(z * y) \ x). [hyper(189,a,6895,a(flip),b,7623,a)]. 7629 K(x,T(y \ (z / (z / x)),u)) = K(x,T(y \ x,u)). [para(4345(a,1),7627(a,1,2,1,2)),flip(a)]. 7630 K(x / y,z \ (x / y)) = K(y \ x,y \ (z \ x)). [hyper(189,a,7187,a(flip),b,7628,a)]. 7632 K(x / (x / y),z \ (u / (u / y))) = K(y,T(z \ y,x)). [hyper(6272,a,7629,a)]. 7633 K(x,T(T(x \ y,z),y \ u)) = K(x,T(T(x \ y,z),u)). [hyper(7247,a,7602,a)]. 7634 K(x,y \ L(T(x,z),u,w)) = K(x,y \ L(x,u,w)). [hyper(5259,a,7606,a)]. 7635 K((x \ y) \ T(y,x),z \ L((x \ y) \ T(y,x),u,w)) = K((x \ y) \ T(y,x),z \ L(T(x,x \ y),u,w)). [para(1046(a,1),7634(a,1,2,2,1)),flip(a)]. 7636 K((x \ y) \ T(y,x),z \ L(L(T(x,x \ y),y,x),u,w)) = K((x \ y) \ T(y,x),z \ L((x \ y) \ T(y,x),u,w)). [para(1047(a,1),7634(a,1,2,2,1))]. 7638 K(x,((y / z) \ 1) \ z) = z \ ((T(y,x) / z) \ y). [hyper(189,a,7516,a(flip),b,7626,a(flip)),flip(a)]. 7639 (T(x,y) / z) \ x = z * K(y,((x / z) \ 1) \ z). [para(7638(a,2),17(a,1,2)),flip(a)]. 7640 x * K(y,((z / x) \ 1) \ x) = (1 / x) \ K(y,z). [hyper(189,a,7388,a(flip),b,7639,a(flip))]. 7641 (1 / x) \ K(y,z * x) = x * K(y,(z \ 1) \ x). [para(18(a,1),7640(a,1,2,2,1,1)),flip(a)]. 7642 K(x,(y \ 1) \ z) = K(x,y * z). [hyper(7339,a,7641,a),flip(a)]. 7644 K((x / y) \ x,(x / y) \ (z \ x)) = K(y,T(z \ y,x)). [hyper(189,a,7630,a(flip),b,7632,a(flip)),flip(a)]. 7645 K(x,T(T(x \ y,z),y * u)) = K(x,T(T(x \ y,z),u)). [para(16(a,1),7633(a,1,2,2)),flip(a)]. 7646 K(x,(y / x) \ (z \ y)) = K(x,T(z \ x,y)). [hyper(4628,a,7644,a)]. 7648 K(x,y \ (x * (z \ y))) = K(x,T(z \ x,y)). [hyper(189,a,6362,a(flip),b,7646,a(flip)),flip(a)]. 7649 K(x,y \ ((z \ y) * x)) = K(x,T(z \ x,y)). [hyper(189,a,7617,a,b,7648,a(flip)),flip(a)]. 7650 K(x,T(y \ x,x * z)) = K(x,z \ (y \ (x * z))). [hyper(189,a,7132,a(flip),b,7649,a(flip))]. 7651 K(x,y \ (z \ (x * y))) = K(x,T(z \ x,y)). [hyper(189,a,5421,a(flip),b,7650,a(flip))]. 7652 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(5895(a,1),7651(a,1,2))]. 7653 L(K(x,T(T(x \ y,z),z)),z,y) = (y * (K(x,x \ y) * z)) / (y * z). [para(7645(a,1),6741(a,1,1))]. 7654 K(x,T(y,R(T(x,z * u),z,u))) = K(x,T(y,a(x,z,u))). [para(507(a,1),7598(a,1,2,2))]. 7655 K(x,T(y,a(x,z,u))) = K(x,y). [hyper(6103,a,7654,a),flip(a)]. 7657 T(x,T(y,a(x,z,u))) = x * K(x,y). [para(7655(a,1),4396(a,2,2))]. 7658 T(x,T(y,a(x,z,u))) = T(x,y). [hyper(189,a,4396,a,b,7657,a)]. 7659 (T(x,x \ y) * a(x,z,u)) \ (a(x,z,u) * ((x \ y) \ y)) = K(a(x,z,u),x). [para(7658(a,1),6399(a,1,1,1))]. 7660 T(x,K(y,z \ (x \ u))) = T(x,K(y,z \ u)). [hyper(5977,a,7624,a),flip(a)]. 7661 K(x,y \ (x \ z)) * T(x,K(u,y \ z)) = T(x,T(y \ (x \ z),u)). [para(7660(a,1),6685(a,1,2))]. 7662 R(T(x,y),z,L(T(x,y),u,w)) = R(T(x,y),z,L(x,u,w)). [hyper(189,a,5650,a(flip),b,7587,a(flip))]. 7664 (x * (K(y,y \ x) * z)) / (x * z) = L(K(y,y \ x),z,x). [para(6026(a,1),7653(a,1,1)),flip(a)]. 7666 K(a(x,y,z),T(x,u)) = K(a(x,y,z),x). [hyper(5495,a,7659,a)]. 7667 T(x,y) * (L(T(x,y),z,T(x,y)) \ u) = ((u / L(T(x,y),z,x)) * K(x,y)) * x. [para(6528(a,1),7579(a,1,1,1,2)),flip(a)]. 7669 T(x,y) * (L(T(x,y),z,T(x,y)) \ u) = (u / L(x,z,x)) * x. [para(6525(a,1),7667(a,2,1))]. 7670 T(x,y) * (L(T(x,y),z,T(x,y)) \ u) = x * (L(x,z,x) \ u). [hyper(189,a,7569,a(flip),b,7669,a)]. 7672 T(x,y) * (L(T(x,y),z,x) \ u) = x * (L(x,z,x) \ u). [para(6528(a,1),7670(a,1,2,1))]. 7674 L(x \ y,x,K(y,z)) * (K(y,z) * x) = K(x \ T(y,z),x) * (K(y,z) * y). [para(17(a,1),6872(a,1,2,2)),flip(a)]. 7676 L(x \ y,x,K(y,z)) * (K(y,z) * x) = K(x \ T(y,z),x) * T(y,z). [para(4403(a,2),7674(a,2,2))]. 7677 L(x \ y,x,K(y,z)) * (K(y,z) * x) = (x \ T(y,z)) * x. [hyper(189,a,4291,a(flip),b,7676,a)]. 7678 L(x \ y,x,K(y,z)) * (K(y,z) * x) = T((x \ y) * x,z). [hyper(189,a,4153,a,b,7677,a)]. 7679 L(x \ y,x,K(y,z)) * (K(y,z) * x) != u | T((x \ y) * x,z) = u. [para(7677(a,2),4155(a,1))]. 7680 L(x \ L(y,z,u),x,K(L(y,z,u),y \ w)) * (K(L(y,z,u),w / y) * x) = T((x \ L(y,z,u)) * x,w / y). [para(5416(a,1),7678(a,1,1,3))]. 7681 L(K(x * ((y * z) \ y),x),(y * z) \ y,z * y) = K((z * y) \ (y * (K(z,y) * x)),x). [para(3828(a,1),7085(a,2,1,2))]. 7682 L(K(x,x * (y \ z)),y \ z,z * (y / z)) = K(x,L((z \ y) \ x,y / z,z)). [para(4016(a,1),7090(a,2,2))]. 7683 L(K(x,x * (y \ z)),y \ z,z * (y / z)) = K(x,y \ (z * x)). [hyper(189,a,5933,a(flip),b,7682,a)]. 7684 T(x,y) \ R(T(x,y),y,R(T(x,y),z,u)) = K(R(x,z,u) * y,x) * K(T(x,y),y). [para(7244(a,1),7312(a,1,1)),flip(a)]. 7685 T(x,y) \ R(T(x,y),y,R(T(x,y),z,u)) = K(R(x,z,u) * y,x) * K(x,y). [para(3876(a,1),7684(a,2,2))]. 7686 K(R(x,y,z) * u,x) * K(x,u) = x \ R(x,u,R(T(x,u),y,z)). [hyper(189,a,7536,a(flip),b,7685,a(flip))]. 7688 x \ R(x,y,R(T(x,y),z,u)) = L(x,y,R(x,z,u)) \ x. [hyper(189,a,7198,a(flip),b,7686,a(flip))]. 7689 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(7278(a,1),7412(a,1,2,1))]. 7690 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(4558(a,1),7689(a,1,2))]. 7692 R(K(x,x \ y),z,T(y,K(x,x \ y) * z)) = (y * (K(x,x \ y) * z)) / (y * z). [para(113(a,1),7475(a,2,2))]. 7693 (x * (y * z)) \ ((x * K(z,y)) * (y * z)) = L(K(z,y),T(x,y * z),y * z). [para(113(a,1),7501(a,1,2))]. 7694 L(K(x,y),T(z,y * x),y * x) != u | K(((z / x) * (y * x)) \ (z * (y * x)),y) = u. [para(7693(a,1),5609(a,1))]. 7695 K(x,(y \ 1) \ L(L(x,y,x),z,u)) * (y \ (T(y,x) * L(x,z,u))) = L(L(x,y,x),z,u). [para(5411(a,1),7550(a,1,1))]. 7696 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(189,a,7142,a(flip),b,7652,a(flip)),flip(a)]. 7697 L(K(x * ((y * z) \ y),x),(y * z) \ y,z * y) = K(L(z \ x,T(z,y),y),x). [para(4556(a,1),7681(a,2,1))]. 7698 L(K(x * ((y * z) \ y),x),(y * z) \ y,z * y) = K(z \ x,x). [hyper(189,a,5536,a(flip),b,7697,a)]. 7700 K(L(x,y,z),u \ ((1 / x) \ L(K(x,w),v5,v6))) = K(L(x,y,z),(x \ u) \ 1). [hyper(189,a,7171,a(flip),b,6791,a)]. 7702 K(L(x,y,z),u \ ((1 / x) \ L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). [hyper(189,a,5258,a(flip),b,7700,a)]. 7703 K(L(x,y,z),u \ (x * L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). [para(5900(a,1),7702(a,1,2,2))]. 7704 K((T(x,y) \ z) \ (T(x,y) \ R(x,u,w)),R(x,u,w)) = K(z \ R(x,u,w),R((T(x,y) \ 1) \ K(y,x),u,w)). [para(4350(a,2),6900(a,1,2,1,2)),flip(a)]. 7705 (((x * y) \ x) \ 1) / ((1 / (y * L(y \ 1,y,z))) \ (L(y \ 1,y,x) \ 1)) = 1 / (y * ((z * y) \ z)). [para(5551(a,1),7402(a,1,1))]. 7706 R(R(x,y,z),y * z,L(K(z,u),z,x * y)) = ((x * y) * T(z,u)) / ((y * z) * K(z,u)). [para(4396(a,2),5901(a,2,1,2))]. 7707 R(R(x,y,z),y * z,L(K(z,u),z,x * y)) = ((x * y) * T(z,u)) / (y * T(z,u)). [para(5139(a,1),7706(a,2,2))]. 7708 R(R(x,y,z),y * z,K(z,u)) = ((x * y) * T(z,u)) / (y * T(z,u)). [para(5897(a,1),7707(a,1,3))]. 7709 R(R(x,y,z),y * z,K(z,u)) != w | R(x,y,T(z,u)) = w. [para(7708(a,2),385(a,1))]. 7711 R(x,y,T(x,z)) = R(x,y,x). [hyper(7709,a,6146,a)]. 7715 R(x,y,(x \ z) \ z) = R(x,y,x). [para(114(a,1),7711(a,1,3))]. 7716 R(T(x,x \ y),z,T((x \ y) \ y,u)) = R(T(x,x \ y),z,T(x,x \ y)). [para(525(a,1),7711(a,1,3))]. 7717 x \ R(T(y,y \ z),u,T((y \ z) \ z,w)) = x \ R((y \ z) \ z,u,(y \ z) \ z). [para(7711(a,1),836(a,2,2))]. 7720 R(T(x,x \ y),z,T((x \ y) \ y,u)) = R(T(x,x \ y),z,x). [hyper(189,a,6434,a(flip),b,7716,a)]. 7722 x \ R(T(y,y \ z),u,y) = x \ R((y \ z) \ z,u,(y \ z) \ z). [para(7720(a,1),7717(a,1,2))]. 7723 T(x,x \ y) \ R((x \ y) \ y,z,(x \ y) \ y) = x \ R(x,z,x). [hyper(189,a,6527,a(flip),b,7722,a(flip))]. 7724 L(K(x * y,x) * K(x,K(z * y,y)),y,z) = (z * (T(x * y,x) / T(x,y))) / (z * y). [para(5998(a,1),5989(a,1,1,2))]. 7725 L(K(x * y,x) * K(x,K(y * z,y)),y,z) = (z * (T(x * y,x) / T(x,y))) / (z * y). [para(4617(a,1),7724(a,1,1,2,2))]. 7726 L(K(x * y,x) * K(x,K(y,y * z)),y,z) = (z * (T(x * y,x) / T(x,y))) / (z * y). [para(5983(a,1),7725(a,1,1,2))]. 7727 (x * (T(y * z,y) / T(y,z))) / (x * z) = L(K(y * z,y) * K(y,K(z,x)),z,x). [para(5965(a,1),7726(a,1,1,2)),flip(a)]. 7728 L(K(x * y,x) * K(x,K(y,z)),y,z) = (z * (x \ T(x * y,x))) / (z * y). [para(3977(a,1),7727(a,1,1,2)),flip(a)]. 7729 (x * (y \ T(y * z,y))) / (x * z) = L(K(y * z,T(y,x)),z,x). [para(6367(a,1),7728(a,1,1)),flip(a)]. 7730 L(K(x * y,T(x,z)),y,z) = K((z * y) / (z * (x \ 1)),x). [hyper(189,a,4956,a(flip),b,7729,a(flip))]. 7731 L(K(x * y,T(x,z)),y,z) = K((z * y) / (x \ z),x). [hyper(189,a,6939,a(flip),b,7730,a)]. 7732 L(K(x * y,T(x,z)),y,z) = K((z / (z * y)) \ x,x). [hyper(189,a,7037,a(flip),b,7731,a)]. 7733 L(K(x * y,T(y,z)),x,z) = K((z / (z * x)) \ y,y). [para(4921(a,2),7732(a,1,1))]. 7734 K(x \ R(x,y,z),R(x,x \ R(x,y,z),y * z)) = K(a(x,y,z),x). [hyper(7062,a,7666,a)]. 7735 K(a(x,y,z),x) = 1. [hyper(4922,a,7734,a),flip(a)]. 7736 T(a(x,y,z),x) = a(x,y,z). [hyper(40,a,7735,a)]. 7737 T(x,a(x,y,z)) = x. [hyper(38,a,7736,a)]. 7738 L(x,y,z) * a(x,u,w) = a(x,u,w) * L(x,y,z). [para(7737(a,1),159(a,1,2,1)),flip(a)]. 7739 ((x * L(y,z,u)) * a(y,w,v5)) \ ((x * (a(y,w,v5) * L(y,z,u))) * a(y,w,v5)) = L(a(y,w,v5),L(y,z,u),x). [para(7738(a,1),1266(a,2,2,1,2)),flip(a)]. 7740 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(4692,a,7690,a)]. 7741 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). [para(5380(a,1),7740(a,1,1))]. 7742 K(T(T(x,y),x \ 1),z \ ((T(x,y) \ 1) * y)) = K((x \ 1) \ 1,((x \ 1) * T(y,x)) / z). [para(3536(a,1),6462(a,1,1))]. 7743 K(T(x,y),z \ ((T(x,y) \ 1) * y)) = K((x \ 1) \ 1,((x \ 1) * T(y,x)) / z). [hyper(6318,a,7742,a)]. 7744 K(T(x,y),z \ ((T(x,y) \ 1) * y)) = K(x,((x \ 1) * T(y,x)) / z). [hyper(189,a,2648,a(flip),b,7743,a)]. 7745 K(T(x,y),z \ ((T(x,y) \ 1) * y)) != u | K(x,((x \ 1) * y) / z) = u. [para(7744(a,2),6886(a,1))]. 7746 ((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(3889(a,1),6657(a,1,1,1))]. 7747 (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(4376(a,1),6693(a,1,1))]. 7748 a(x,K(x,y) * z,R(x,u,w)) = a(T(x,y),z,R(x,u,w)). [hyper(553,a,7747,a),flip(a)]. 7749 a(x,K(x,y) * z,R(x,u,w)) != v5 | a(T(x,y),z,R(x,u,w)) = v5. [para(7747(a,1),553(a,1))]. 7750 a(T(x,y),T(x,y) \ z,R(x,u,w)) = a(x,x \ z,R(x,u,w)). [para(4541(a,1),7748(a,1,2)),flip(a)]. 7751 L(K(x,x \ y),z / K(x,x \ y),y) \ (y * z) = T(y * (z * K(x \ y,x)),K(y,x)). [para(6765(a,1),7414(a,2,2))]. 7752 L(K(x,x \ y),z / K(x,x \ y),y) \ (y * z) = y * (K(x \ y,x) * z). [hyper(189,a,7196,a(flip),b,7751,a)]. 7753 L(K(x,x \ y),z * K(x \ y,x),y) \ (y * z) = y * (K(x \ y,x) * z). [para(3890(a,1),7752(a,1,1,2))]. 7754 L(K(x,x \ y),z,y) \ (y * z) = y * (K(x \ y,x) * z). [para(6611(a,1),7753(a,1,1))]. 7755 x * (K(y \ x,y) * z) != u | L(K(y \ x,y),z,x) * (x * z) = u. [para(7754(a,1),5918(a,1))]. 7757 ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = ((K(y,x) * z) * K(x,y)) * K(u,x). [para(2003(a,1),7746(a,1,1,2)),flip(a)]. 7758 ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = T(z,K(x,y)) * K(u,x). [para(3956(a,1),7757(a,2,1))]. 7759 ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = T(z * K(u,x),K(x,y)). [hyper(189,a,6576,a,b,7758,a)]. 7760 (K(x,y) \ z) * (K(x,y) * K(u,x)) = T(z * K(u,x),K(x,y)). [para(2005(a,1),7759(a,1,1,1))]. 7761 (K(x,y) * z) * (K(y,x) * K(u,y)) = T(z * K(u,y),K(y,x)). [para(3889(a,1),7760(a,1,1))]. 7762 (K(x,y) * z) * (K(y,x) * K(u,y)) = T(z * K(u,y),K(x,y)). [hyper(189,a,6118,a,b,7761,a)]. 7763 (K(x,y) * z) * (K(u,y) * K(y,x)) = T(z * K(u,y),K(x,y)). [para(1959(a,1),7762(a,1,2))]. 7764 (K(x,y) * z) * (K(y,x) * K(u,y)) != w | T(z * K(u,y),K(y,x)) = w. [para(7762(a,2),6121(a,1))]. 7765 T(x * K(y,z),K(u,z)) / (K(u,z) * x) = (K(y,z) * K(z,u)) * K(K(u,z) * x,K(y,z) * K(z,u)). [hyper(76,a,7763,a(flip),b,4405,a)]. 7766 K(R(((T(x,y) * y) / x) \ (T(x,y) * y),z,u),T(x,y) * y) = K(R(x,z,u),T(T(x,y) * y,y)). [hyper(189,a,6077,a(flip),b,7057,a)]. 7767 K(R(((T(x,y) * y) / x) \ (T(x,y) * y),z,u),T(x,y) * y) = K(R(x,z,u),T(x * y,y)). [hyper(189,a,5647,a(flip),b,7766,a)]. 7768 K(R(x,y,z),T(x * u,u)) = K(R(x,y,z),T(x,u) * u). [para(69(a,1),7767(a,1,1,1)),flip(a)]. 7769 K(R(x,y,z),T(x * u,u)) = K(R(x,y,z),x * u). [hyper(189,a,5056,a(flip),b,7768,a)]. 7770 K(R(x,y,z),x * L(u,x,u)) = K(R(x,y,z),T(x,u) * u). [para(7565(a,1),7769(a,1,2)),flip(a)]. 7771 K(R(x,y,z),x * L(u,x,u)) = K(R(x,y,z),x * u). [hyper(189,a,5056,a(flip),b,7770,a)]. 7772 K(x,(1 / (y \ T(L(L(x,z,u),w,v5),v6))) \ K(v6,L(L(x,z,u),w,v5))) = K(x,y \ L(L(x,z,u),w,v5)). [hyper(189,a,5411,a(flip),b,7389,a)]. 7773 T(x * K(y,z),K(z,u)) / (K(u,z) * x) = (K(y,z) * K(z,u)) * K(K(u,z) * x,K(y,z) * K(z,u)). [para(6118(a,1),7765(a,1,1))]. 7774 K(x,(1 / (y \ L(T(L(x,z,u),w),v5,v6))) \ K(w,L(L(x,z,u),v5,v6))) = K(x,y \ L(L(x,z,u),v5,v6)). [para(43(a,2),7772(a,1,2,1,2,2))]. 7775 K(x,(1 / (y \ L(L(T(x,z),u,w),v5,v6))) \ K(z,L(L(x,u,w),v5,v6))) = K(x,y \ L(L(x,u,w),v5,v6)). [para(43(a,2),7774(a,1,2,1,2,2,1))]. 7776 K(x,(1 / (y \ L(L(T(x,z),u,w),v5,v6))) \ 1) = K(x,y \ L(L(x,u,w),v5,v6)). [hyper(189,a,7571,a(flip),b,7775,a(flip)),flip(a)]. 7778 K(x,y \ L(L(T(x,z),u,w),v5,v6)) = K(x,y \ L(L(x,u,w),v5,v6)). [para(69(a,1),7776(a,1,2))]. 7780 R(T(x,K(y,z) * K(u,y)),K(y,z),K(u,y)) = T(L(T(x,K(u,y)),K(u,y),K(y,z)),K(y,z)). [para(154(a,1),6563(a,1,1)),flip(a)]. 7781 R(T(x,K(y,z) * K(u,y)),K(y,z),K(u,y)) = T(L(T(x,K(y,u)),K(u,y),K(y,z)),K(y,z)). [para(6118(a,1),7780(a,2,1,1))]. 7782 R(T(x,K(y,z) * K(u,y)),K(y,z),K(u,y)) = L(T(T(x,K(y,u)),K(y,z)),K(u,y),K(y,z)). [hyper(189,a,43,a,b,7781,a)]. 7783 L(T(T(x,K(y,z)),K(y,u)),K(z,y),K(y,u)) = T(x,K(y,u) * K(z,y)). [hyper(189,a,6656,a(flip),b,7782,a(flip))]. 7785 (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(7381(a,1),7384(a,2,2,1,1))]. 7786 (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(189,a,2222,a(flip),b,7785,a)]. 7787 (T(x,y) * R(T(x,y) \ (x * y),z,u)) / (x * y) = R(R(y,z,u) / y,y,x). [para(915(a,1),7786(a,2,1))]. 7788 (T(x,y) * R(T(y,x),z,u)) / (x * y) = R(R(y,z,u) / y,y,x). [para(3528(a,1),7787(a,1,1,2,1))]. 7789 (R(x,y,z) * T(u,x)) / (u * x) = R(R(x,y,z) / x,x,u). [para(3535(a,1),7788(a,1,1))]. 7790 R(R(x,y,x) / x,x,z) = (z * R(x,y,x)) / (z * x). [para(6706(a,1),7789(a,1,1)),flip(a)]. 7791 R(x \ R(x,y,x),x,z) = (z * R(x,y,x)) / (z * x). [para(3252(a,1),7790(a,1,1))]. 7792 ((x * (y * z)) * L(u * (L(z \ 1,z,y) / u),y * z,x)) \ (x * y) = K((x * (y * z)) \ (u \ (x * y)),u). [para(5117(a,2),6786(a,1,1,2))]. 7793 K((x \ y) \ T(y,x),z \ L((x \ y) \ T(y,x),u,w)) = K(x,z \ L(T(x,x \ y),u,w)). [hyper(189,a,6469,a(flip),b,7635,a)]. 7795 K((x \ y) \ T(y,x),z \ L((x \ y) \ T(y,x),u,w)) = K(x,z \ L(x,u,w)). [hyper(189,a,7634,a(flip),b,7793,a)]. 7797 K((T(x,y) \ z) \ (T(x,y) \ R(x,u,w)),R(x,u,w)) = K(z \ R(x,u,w),R(T(x,x \ 1),u,w)). [para(4363(a,1),7704(a,2,2,1))]. 7799 K((T(x,y) \ z) \ (T(x,y) \ R(x,u,w)),R(x,u,w)) != v5 | K(z \ R(x,u,w),R(x,u,w)) = v5. [para(7797(a,2),5330(a,1))]. 7800 ((x * (y * z)) * L(L(u * ((z \ 1) / u),z,y),y * z,x)) \ (x * y) = K((x * (y * z)) \ (u \ (x * y)),u). [para(5117(a,2),7792(a,1,1,2,1))]. 7801 (x * ((y * z) * L(u * ((z \ 1) / u),z,y))) \ (x * y) = K((x * (y * z)) \ (u \ (x * y)),u). [para(102(a,1),7800(a,1,1))]. 7802 (x * (y * (z * (u * ((z \ 1) / u))))) \ (x * y) = K((x * (y * z)) \ (u \ (x * y)),u). [para(102(a,1),7801(a,1,1,2))]. 7803 (x * (y * K(z,u \ (z \ 1)))) \ (x * y) = K((x * (y * u)) \ (z \ (x * y)),z). [para(6782(a,1),7802(a,1,1,2,2))]. 7804 K((x * (y * z)) \ (u \ (x * y)),u) = L(K(z \ (u \ 1),u),y,x). [hyper(5929,a,7803,a),flip(a)]. 7805 K((x * (y * z)) \ (u \ (x * y)),u) = K(L(z * u,y,x) \ 1,u). [hyper(189,a,5586,a(flip),b,7804,a)]. 7806 K(L(x * y,z,u) \ 1,y) = K(L(x,z,u) \ (y \ 1),y). [hyper(189,a,6860,a(flip),b,7805,a(flip))]. 7807 K(x,T(y,R(x,z,u) * w)) = T(v5 * K(T(y,w),x),K(T(y,w),v6)) \ T(v5,K(T(y,w),v6)). [para(7533(a,1),6898(a,1,1,1,2)),flip(a)]. 7808 K(x,T(y,R(x,z,u) * w)) = K(x,T(y,w)). [hyper(189,a,6846,a(flip),b,7807,a)]. 7810 K(x,T(y,R(x,z,u) * w)) = K(x,y) * K(x,K(y,w)). [hyper(189,a,6012,a,b,7808,a)]. 7811 K(x,K(y,R(x,z,u) * w)) = K(x,K(y,w)). [hyper(6020,a,7810,a)]. 7812 K(x,K(y,R(x,z,u) \ w)) = K(x,K(y,w)). [para(17(a,1),7811(a,1,2,2)),flip(a)]. 7813 K(x,K(y,(x * z) * u)) = K(x,K(y,z * u)). [para(110(a,1),7811(a,1,2,2))]. 7814 K(x,K(y,z \ R(x,u,w))) = K(x,K(y,z)). [hyper(7261,a,7812,a)]. 7815 K(x,K(y,R(x,z,u) / w)) = K(x,K(y,w)). [para(69(a,1),7814(a,1,2,2)),flip(a)]. 7816 K(x,K(y,z * R(x,u,w))) = K(x,K(y,z)). [hyper(7260,a,7815,a),flip(a)]. 7817 K(x * R(y,z,u),y) * K(y,K(w,x)) = T(K(x * R(y,z,u),T(y,x)),w). [para(7816(a,1),7267(a,1,2))]. 7818 K(x,K(y,(y * z) * u)) = K(y,K(x,z * u)). [hyper(5967,a,7813,a)]. 7819 K(x,K(y,(y * x) * z)) = K(x,K(y,z)). [hyper(189,a,5994,a(flip),b,7818,a)]. 7820 R((K(x,K(y,z)) * u) / (K(x,y) \ u),y * x,z) = ((y * x) * z) \ ((x * y) * z). [para(7819(a,1),6364(a,1,1,1,1))]. 7821 K(x * R(y,z,u),y) * K(x,K(y,w)) = T(K(x * R(y,z,u),T(y,x)),w). [para(5969(a,1),7817(a,1,2))]. 7823 K(x * R(y,z,u),y) * K(x,K(y,w)) = T(K(x * R(y,z,u),y),w). [para(7243(a,1),7821(a,2,1))]. 7824 ((x * y) * z) \ ((y * x) * z) = R(T(K(y,x),z),x * y,z). [para(5962(a,1),7820(a,1,1)),flip(a)]. 7825 R(T(K(x,y),z),y * x,z) = K((((y * x) * z) \ (y * z)) \ 1,y). [hyper(189,a,5812,a,b,7824,a(flip))]. 7826 R(T(K(x,y),z),y * x,z) = K((y * z) \ ((y * x) * z),y). [hyper(189,a,5209,a(flip),b,7825,a)]. 7827 R(T(K(x,y),z),y * x,z) = K(R(T(x,z),y,z),y). [hyper(189,a,7153,a(flip),b,7826,a)]. 7828 ((x * y) * z) \ ((y * x) * z) = K(R(T(y,z),x,z),x). [hyper(189,a,7824,a,b,7827,a(flip)),flip(a)]. 7829 ((x * y) * z) \ ((y * x) * z) = K(R(y,x,z),T(x,z)). [hyper(189,a,5393,a(flip),b,7828,a)]. 7830 L(x \ L(y,z,u),x,K(L(y,z,u),y \ w)) * (K(L(y,z,u),y \ w) * x) = T((x \ L(y,z,u)) * x,w / y). [para(5416(a,1),7680(a,1,2,1))]. 7831 T((x \ L(y,z,u)) * x,w / y) = T((x \ L(y,z,u)) * x,y \ w). [hyper(7679,a,7830,a),flip(a)]. 7832 T((x \ L(y,y \ z,y)) * x,y \ T(z,y)) != u | T((x \ y) * x,z) = u. [para(7831(a,1),5649(a,1))]. 7833 L(T((x \ y) * x,y \ T(z,y)),y \ z,y) = T((x \ y) * x,z). [hyper(7832,a,5118,a(flip)),flip(a)]. 7834 L(T((x \ y) * x,y \ z),y \ z,y) = T((x \ y) * x,z). [para(6420(a,1),7833(a,1,1))]. 7835 x \ (y * (((z \ y) * z) * (y \ x))) = T((z \ y) * z,x). [hyper(556,a,7834,a)]. 7836 x * T((y \ z) * y,x) = z * (((y \ z) * y) * (z \ x)). [para(7835(a,1),17(a,1,2))]. 7837 x * (((y \ x) * y) * (x \ z)) = ((y \ x) * y) * z. [hyper(205,a,7836,a),flip(a)]. 7839 (((x * (y * x)) / x) / y) * (z / (((x * (y * x)) / x) / y)) = z * K(L(x,T(y,x),x),T(x,y * x) \ z). [para(3726(a,1),6679(a,2,2,1))]. 7840 (((x * (y * x)) / x) / y) * (z / (((x * (y * x)) / x) / y)) = z * K(L(x,T(y,x),x),T(x,x * y) \ z). [para(3507(a,1),7839(a,2,2,2,1))]. 7841 (((x * (y * x)) / x) / y) * (z / (((x * (y * x)) / x) / y)) = z * K(x,T(x,x * y) \ z). [para(6465(a,1),7840(a,2,2))]. 7842 (((x * (y * x)) / x) / y) * (z / (((x * (y * x)) / x) / y)) = z * K(x,x \ z). [para(6186(a,1),7841(a,2,2))]. 7844 (((x * (y * x)) / x) / y) * (z / (((x * (y * x)) / x) / y)) = x * (z / x). [hyper(189,a,3903,a(flip),b,7842,a)]. 7846 L(x,T(y,x),x) * (z / (((x * (y * x)) / x) / y)) = x * (z / x). [para(3726(a,1),7844(a,1,1))]. 7847 L(x,T(y,x),x) * (z / L(x,T(y,x),x)) = x * (z / x). [para(3726(a,1),7846(a,1,2,2))]. 7848 L(x,y,x) * (z / L(x,T(y,x),x)) = x * (z / x). [para(3724(a,1),7847(a,1,1))]. 7849 L(x,y,x) * (z / L(x,y,x)) = x * (z / x). [para(3724(a,1),7848(a,1,2,2))]. 7850 L(x,y,x) * ((z * x) / L(x,y,x)) = x * z. [para(18(a,1),7849(a,2,2))]. 7851 K((x \ y) \ T(y,x),z \ L((x \ y) \ T(y,x),u,w)) = K(x,z \ L(L(T(x,x \ y),y,x),u,w)). [hyper(189,a,6469,a(flip),b,7636,a(flip))]. 7853 K((x \ y) \ T(y,x),z \ L((x \ y) \ T(y,x),u,w)) = K(x,z \ L(L(x,y,x),u,w)). [hyper(189,a,7778,a(flip),b,7851,a)]. 7855 K(x,y \ L(L(x,z,x),u,w)) = K(x,y \ L(x,u,w)). [hyper(189,a,7795,a(flip),b,7853,a(flip))]. 7857 K(x,(y \ 1) \ L(x,z,u)) * (y \ (T(y,x) * L(x,z,u))) = L(L(x,y,x),z,u). [para(7855(a,1),7695(a,1,1))]. 7858 K(x,y * L(x,z,u)) * (y \ (T(y,x) * L(x,z,u))) = L(L(x,y,x),z,u). [para(7642(a,1),7857(a,1,1))]. 7860 K(x,y * L(x,z,u)) * (K(y,x) * L(x,z,u)) = L(L(x,y,x),z,u). [para(4540(a,1),7858(a,1,2))]. 7861 K(x,x \ 1) \ ((1 / ((L(x,y,z) \ x) * L(x,y,z))) * (L(x,y,z) \ x)) = L(x,y,z) \ 1. [para(4101(a,1),5853(a,1,1))]. 7863 K(x,x \ 1) \ ((1 / x) * (L(x,y,z) \ x)) = L(x,y,z) \ 1. [para(5097(a,1),7861(a,1,2,1,2))]. 7864 (x \ 1) * (L(x,y,z) \ x) = L(x,y,z) \ 1. [hyper(2429,a,7863,a)]. 7865 (x \ 1) \ (L(x,y,z) \ 1) = L(x,y,z) \ x. [hyper(75,a,7863,a(flip),b,2428,a(flip))]. 7866 (x \ L(x,y,z)) \ (x \ 1) = (x \ 1) * (L(x,y,z) \ x). [hyper(189,a,5005,a,b,7864,a),flip(a)]. 7867 (x \ (L(x \ 1,y,z) \ 1)) * K(x \ 1,x) = L(x \ 1,y,z) \ (x \ 1). [hyper(2542,a,7865,a)]. 7868 (x \ L(x,y,z)) \ 1 = L(x,y,z) \ x. [hyper(1934,a,7866,a)]. 7869 (x \ L(x,y,z)) * (L(x,y,z) \ x) != u | 1 = u. [para(7868(a,1),203(a,1,2)),flip(b)]. 7870 (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(7867(a,1),3249(a,2,1)),flip(a)]. 7871 (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(7341(a,1),7870(a,1,2))]. 7872 (L(x \ 1,y,z) \ (x \ 1)) \ (L(1 / x,y,z) \ 1) = T(x,x \ (L(x \ 1,y,z) \ 1)). [para(5084(a,1),7871(a,1,2))]. 7873 T(x,x \ (L(x \ 1,y,z) \ 1)) = x. [hyper(189,a,5844,a(flip),b,7872,a(flip))]. 7875 T(x,x \ (((y * x) \ y) \ 1)) = x. [para(140(a,1),7873(a,1,2,2,1))]. 7876 (1 / ((x * y) \ x)) / y = y \ (1 / ((x * y) \ x)). [para(7875(a,1),3459(a,1,2))]. 7877 T((1 / ((x * y) \ x)) * K(y,z),y) = (y \ (1 / ((x * y) \ x))) * T(y,z). [para(7876(a,1),6354(a,2,1))]. 7878 (x * (y * R(x,z,u))) \ (((y * R(x,z,u)) * x) * K(x,y)) = x \ R(x,y,R(x,z,u)). [para(6628(a,1),7311(a,1,1))]. 7879 (x * (y * R(x,z,u))) \ ((y * R(x,z,u)) * T(x,y)) = x \ R(x,y,R(x,z,u)). [para(5139(a,1),7878(a,1,2))]. 7881 (x * (y * R(x,z,u))) \ ((x * y) * R(x,z,u)) = x \ R(x,y,R(x,z,u)). [para(1666(a,1),7879(a,1,2))]. 7882 x \ R(x,y,R(x,z,u)) = a(x,y,R(x,z,u)). [hyper(553,a,7881,a),flip(a)]. 7883 x \ R(x,y,R(x,z,u)) != w | a(x,y,R(x,z,u)) = w. [para(7881(a,1),553(a,1))]. 7884 K(x * R(y,z,u),y) * K(y,x) = a(y,x,R(y,z,u)). [hyper(189,a,7291,a,b,7882,a(flip)),flip(a)]. 7885 x * a(x,y,R(x,z,u)) = R(x,y,R(x,z,u)). [para(7882(a,1),17(a,1,2))]. 7886 R(x,y,R(x,z,u)) \ x = a(x,y,R(x,z,u)) \ 1. [para(7882(a,1),5757(a,1,1)),flip(a)]. 7887 x \ R(T(x,y),z,R(x,u,w)) = K(x,y) * a(x,z,R(x,u,w)). [para(7882(a,1),6738(a,1,2)),flip(a)]. 7888 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(7139(a,2),7882(a,1,2))]. 7889 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(4009(a,1),7886(a,2,1))]. 7890 x \ R(x,y,R(T(x,z),u,w)) != v5 | a(T(x,z),y,R(T(x,z),u,w)) = v5. [para(7536(a,1),7883(a,1))]. 7891 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(7884(a,1),6365(a,1,1)),flip(a)]. 7892 T(x,y) \ R(T(x,y),z,R(x,u,w)) = a(x,z,R(x,u,w)). [hyper(4607,a,7887,a)]. 7893 K(x,y) * (K(y,x) * a(y,z,R(y,u,w))) = y \ R(y,z,R(T(y,x),u,w)). [para(7887(a,1),7537(a,1,2))]. 7894 ((x \ y) \ y) \ R((x \ y) \ y,z,R(x,u,w)) = a(x,z,R(x,u,w)). [hyper(4892,a,7892,a)]. 7895 T(x,y) * a(x,z,R(x,u,w)) = R(T(x,y),z,R(x,u,w)). [para(7892(a,1),17(a,1,2))]. 7896 a(x,K(x,y) * z,R(x,u,w)) = x \ (v5 \ ((R(x,z,R(x,u,w)) * (x \ v5)) * x)). [hyper(189,a,7166,a(flip),b,7894,a(flip))]. 7897 x \ R(x,y,R(T(x,z),u,w)) = a(x,y,R(x,u,w)). [hyper(3914,a,7893,a)]. 7898 a(T(x,y),z,R(T(x,y),u,w)) = a(x,z,R(x,u,w)). [hyper(7890,a,7897,a)]. 7900 L(x,y,R(x,z,u)) \ x = a(x,y,R(x,z,u)). [hyper(189,a,7688,a(flip),b,7897,a(flip)),flip(a)]. 7902 a(x,y,R(x,z,u)) \ x = L(x,y,R(x,z,u)). [para(7900(a,1),5098(a,1,1))]. 7903 a(x,y,R(x,z,u)) * T(K(y,x),w) = T(K(y * R(x,z,u),x),w). [hyper(189,a,7823,a(flip),b,7891,a(flip))]. 7904 T(K(x * R(y,z,u),y),w) * T(K(y,x),w) = a(y,x,R(y,z,u)). [hyper(6635,a,7903,a)]. 7905 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(7883,a,7888,a)]. 7906 a(T(x,y),T(y,x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(189,a,5822,a(flip),b,7905,a(flip))]. 7907 a(x,y,R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(4010,a,7906,a)]. 7908 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(7139(a,1),7889(a,1,1))]. 7909 R(T(x,y),y,R(T(x,y),z,u)) \ T(x,y) = a(R(x,z,u),y,x) \ 1. [para(7907(a,1),7908(a,2,1))]. 7910 a(T(x,y),y,R(T(x,y),z,u)) \ 1 = a(R(x,z,u),y,x) \ 1. [hyper(189,a,7886,a(flip),b,7909,a(flip)),flip(a)]. 7911 a(R(x,y,z),u,x) \ 1 = a(x,u,R(x,y,z)) \ 1. [para(7898(a,1),7910(a,1,1)),flip(a)]. 7913 a(T(x,y),z,R(x,u,w)) = x \ (v5 \ ((R(x,z,R(x,u,w)) * (x \ v5)) * x)). [hyper(7749,a,7896,a)]. 7916 a(T(x,y),z,R(x,u,w)) = x \ (v5 \ ((x * (x \ v5)) * R(x,z,R(x,u,w)))). [para(7181(a,1),7913(a,2,2,2))]. 7917 a(T(x,y),z,R(x,u,w)) = x \ (v5 \ (v5 * R(x,z,R(x,u,w)))). [para(17(a,1),7916(a,2,2,2,1))]. 7918 a(T(x,y),z,R(x,u,w)) = x \ R(x,z,R(x,u,w)). [para(16(a,1),7917(a,2,2))]. 7920 a(T(x,y),z,R(x,u,w)) = a(x,z,R(x,u,w)). [hyper(189,a,7882,a(flip),b,7918,a)]. 7921 a(x,T(y,x),R(x,z,u)) = a(x,y,R(x,z,u)). [hyper(4010,a,7920,a),flip(a)]. 7922 a(x,T(x,y) \ z,R(x,u,w)) = a(x,x \ z,R(x,u,w)). [hyper(189,a,7750,a(flip),b,7920,a(flip))]. 7924 ((K((x * y) / (x * (z \ y)),u) \ 1) \ 1) \ (x * (K(z,u) * y)) = (x * (K(z,u) * y)) * ((L(K(u,T(z,y)),y,x) \ 1) \ 1). [para(4957(a,2),5936(a,1,1,1,1))]. 7925 (x * y) \ ((y * K(x,z)) * R(x,y,K(x,z))) = K(x,z) * K(y * K(x,z),R(x,y,K(x,z))). [para(6656(a,1),6149(a,1,1))]. 7926 K(x,y) * K(z * K(x,y),R(x,z,K(x,y))) = (x * z) \ ((z * K(x,y)) * x). [para(6140(a,1),7925(a,1,2,2)),flip(a)]. 7928 K(x,y) * K(z * K(x,y),R(x,z,K(x,y))) = (x * z) \ (z * T(x,y)). [para(5132(a,1),7926(a,2,2))]. 7929 (x * y) \ (y * T(x,z)) = K(x,z) * K(y * K(x,z),x). [para(6140(a,1),7928(a,1,2,2)),flip(a)]. 7930 (x * y) \ (y * T(x,z)) = K(x,z) * K(y,x). [para(6197(a,1),7929(a,2,2))]. 7931 (x * (y * L(x,z,u))) \ ((y * L(x,z,u)) * T(x,y)) = x \ R(x,y,L(x,z,u)). [hyper(189,a,7043,a(flip),b,7930,a)]. 7932 K(T(x,y),y) * K(L(x,z,u) * y,T(x,y)) = a(T(x,y),y,L(T(x,y),z,u)). [hyper(189,a,2083,a(flip),b,7930,a(flip))]. 7933 (x * y) \ (y * T(x,z)) != u | K(y,x) * K(x,z) = u. [para(7930(a,2),1962(a,1))]. 7935 K(x,y) * K(y,y \ x) = a(y,x / y,y). [hyper(7933,a,3566,a)]. 7937 x \ T(y * (x / y),y) = a(y,x / y,y). [hyper(189,a,6355,a,b,7935,a(flip)),flip(a)]. 7938 a(x,(y * x) / x,x) = (y * x) \ T(x * y,x). [para(18(a,1),7937(a,1,2,1,2)),flip(a)]. 7939 a(x,(y * x) / x,x) = K(x,y) * K(x * y,x). [hyper(189,a,7184,a(flip),b,7938,a)]. 7940 K(x,y) * K(x * y,x) = a(x,y,x). [para(18(a,1),7939(a,1,2)),flip(a)]. 7941 x \ R(x,y,x) = a(x,y,x). [hyper(189,a,4686,a(flip),b,7940,a(flip)),flip(a)]. 7942 K(x,y) * a(y,x,y) != z | K(y * x,y) = z. [para(7940(a,1),3914(a,1,2)),flip(b)]. 7943 K(x,x * y) * a(x,y,x) = K(x,y). [para(7940(a,1),3906(a,1,2))]. 7944 T(x * y,x) / x = y * a(x,y,x). [para(7940(a,1),5314(a,1,2)),flip(a)]. 7945 (x / y) * a(y,z,y) = x / L(y,z,y). [para(7940(a,1),6735(a,1,2))]. 7946 K(x * y,x) * (K(x,y) * z) = z * a(x,y,x). [para(7940(a,1),6864(a,2,2))]. 7947 a(x,y * K(x,z),x) = x \ R(x,y,x). [hyper(189,a,6745,a(flip),b,7941,a(flip))]. 7948 x * a(x,y,x) = R(x,y,x). [para(7941(a,1),17(a,1,2))]. 7950 a(x,y,x) * x = R(x,y,x). [para(7941(a,1),3253(a,1,1))]. 7951 (x * R(y,z,y)) / (x * y) = R(a(y,z,y),y,x). [para(7941(a,1),7791(a,1,1)),flip(a)]. 7952 x \ R(x,y,x) != z | a(x,y,x) = z. [para(7948(a,1),237(a,1,2)),flip(b)]. 7953 (x * a(y,z,y)) / R(y,z,y) != u | R(x / y,y,a(y,z,y)) = u. [para(7948(a,1),451(a,1,2))]. 7954 K(x * y,x) * K(x,y) != z | a(x,y,x) = z. [para(7943(a,1),3914(a,1,2)),flip(b)]. 7955 (x * y) \ (y * (T(z * T(x,y),z) / z)) = L(a(z,T(x,y),z),T(x,y),y). [para(7944(a,2),153(a,1,2,2))]. 7956 (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(7944(a,2),347(a,1,2,2))]. 7957 (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) != w | L(L(a(u,z,u),z,y),y * z,x) = w. [para(7944(a,2),646(a,1,2,2,2))]. 7958 R(T(a(x,y,x),y * z),T(y,a(x,y,x)),z) = (T(y,a(x,y,x)) * z) \ ((T(x * y,x) / x) * z). [para(7944(a,2),6190(a,1,2,1)),flip(a)]. 7959 (x * y) / L(y,z,y) = x * a(y,z,y). [para(18(a,1),7945(a,1,1)),flip(a)]. 7960 a(x,y,T(x,z)) = x \ R(x,y,x). [hyper(6889,a,7947,a)]. 7961 a(x,y,T(x,z)) != u | a(x,y,x) = u. [para(7960(a,2),7952(a,1))]. 7962 (x / L(y,z,y)) * y = x * a(y,z,y). [hyper(1265,a,7959,a)]. 7963 L(x,y,x) * (z * a(x,y,x)) = x * z. [para(7959(a,1),7850(a,1,2))]. 7964 x * (L(x,y,x) \ z) = z * a(x,y,x). [hyper(189,a,7569,a(flip),b,7962,a(flip)),flip(a)]. 7965 L(x,y,x) \ 1 = x \ a(x,y,x). [hyper(75,a,14,a(flip),b,7964,a),flip(a)]. 7966 T(x,y) * (L(T(x,y),z,x) \ u) = u * a(x,z,x). [hyper(189,a,7672,a,b,7964,a(flip)),flip(a)]. 7967 T(x,y) * (L(T(x,y),z,x) \ u) = u * a(T(x,y),z,T(x,y)). [para(6528(a,1),7964(a,1,2,1))]. 7968 K(R(L(x,y,x),x \ a(x,y,x),z),u) = K(L(x,y,x),u). [para(7965(a,1),5752(a,1,1,2))]. 7969 K(x,x * y) * (z * a(x,y,x)) = K(x,y) * z. [hyper(3907,a,7946,a)]. 7970 K(x,x * y) * z != K(x,y) * u | u * a(x,y,x) = z. [para(7969(a,1),22(a,1)),flip(a)]. 7971 T(x,y) * (L(T(x,y),z,x) \ u) != u * w | a(x,z,x) = w. [para(7966(a,2),22(a,1))]. 7972 K(x,y) * (z * a(y,u,y)) = y * (L(T(y,x),u,y) \ z). [para(7966(a,1),4383(a,1,2))]. 7973 K(R(x,x \ a(x,y,x),z),u) = K(L(x,y,x),u). [hyper(189,a,7578,a(flip),b,7968,a(flip)),flip(a)]. 7974 K(R(x,x \ a(x,y,x),z),u) = K(x,u). [hyper(189,a,6465,a(flip),b,7973,a)]. 7977 R(K(x,y),a(x,z,x),u) = K(x,y). [hyper(189,a,5749,a(flip),b,7974,a(flip)),flip(a)]. 7978 (K(x,y) * a(x,z,x)) * u = K(x,y) * (a(x,z,x) * u). [para(7977(a,1),110(a,1,1)),flip(a)]. 7979 K(x,x * y) * (a(x,y,x) * z) = K(x,y) * z. [para(7943(a,1),7978(a,1,1)),flip(a)]. 7980 a(x,y,x) * z = z * a(x,y,x). [hyper(7970,a,7979,a),flip(a)]. 7981 (a(x,y,x) \ z) * a(x,y,x) = z. [hyper(203,a,7980,a)]. 7982 T(x,a(y,z,y)) = x. [hyper(149,a,7980,a)]. 7983 T(a(x,y,x),z) = a(x,y,x). [hyper(147,a,7980,a,b,xx)]. 7984 a(x,y,x) * K(y,x) = K(x * y,x). [hyper(7942,a,7980,a(flip)),flip(a)]. 7985 a(x,y,x) * z != z * u | a(x,y,x) = u. [para(7980(a,2),22(a,1))]. 7988 (x * (y * a(z,u,z))) \ (x * (a(z,u,z) * (y * w))) = L(L(w,y,a(z,u,z)),a(z,u,z) * y,x). [para(7980(a,1),348(a,1,1,2))]. 7989 (x * (y * a(z,u,z))) \ ((x * a(z,u,z)) * (L(y,a(z,u,z),x) * w)) = L(w,L(y,a(z,u,z),x),x * a(z,u,z)). [para(7980(a,1),347(a,1,1,2))]. 7990 K(x,a(y,z,y)) = 1. [hyper(39,a,7982,a)]. 7992 x * K(y,a(z,u,z)) != w | x = w. [para(7990(a,2),86(a,1,2))]. 7993 x * a(y,z,y) != u | a(y,z,y) * x = u. [para(7983(a,1),205(a,1,2))]. 7994 R(a(x,y,x),z,u) * w = w * R(a(x,y,x),z,u). [para(7983(a,1),160(a,1,2,1)),flip(a)]. 7995 (a(x,y,x) \ 1) \ z = z * a(x,y,x). [hyper(75,a,7981,a(flip),b,486,a)]. 7996 x * (a(x,y,x) \ z) = L(x,y,x) * z. [para(7981(a,1),7963(a,1,2)),flip(a)]. 7998 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(5412(a,1),7984(a,1,2))]. 7999 a(x,y,x) \ 1 = x \ L(x,y,x). [hyper(75,a,15,a(flip),b,7996,a),flip(a)]. 8000 (x \ L(x,y,x)) \ z = z * a(x,y,x). [para(7999(a,1),7995(a,1,1))]. 8001 (a(x,y,x) \ 1) \ z != u | a(x,y,x) * z = u. [para(7995(a,2),7993(a,1))]. 8002 T(x,R(a(y,z,y),u,w)) = x. [hyper(149,a,7994,a)]. 8003 a(T(x,y),z,T(x,y)) = a(x,z,x). [hyper(7971,a,7967,a),flip(a)]. 8005 (x * y) \ (y * T(T(z * x,z) / z,y)) = L(a(z,T(x,y),z),T(x,y),y). [para(1218(a,1),7955(a,1,2,2))]. 8006 L(a(x,T(y,z),x),T(y,z),z) = (y * z) \ ((T(x * y,x) / x) * z). [para(113(a,1),8005(a,1,2)),flip(a)]. 8007 K(x,y) * K(L(x,z,u) * y,T(x,y)) = a(T(x,y),y,L(T(x,y),z,u)). [para(3876(a,1),7932(a,1,1))]. 8008 a(T(x,y),y,L(T(x,y),z,u)) = K(x,y) * K(L(x,z,u) * y,x). [para(7034(a,1),8007(a,1,2)),flip(a)]. 8009 a(T(x,y),y,L(T(x,y),z,u)) = L(x,y,L(x,z,u)) \ x. [hyper(189,a,7041,a(flip),b,8008,a)]. 8010 (x * (y * L(x,z,u))) \ ((x * y) * L(x,z,u)) = x \ R(x,y,L(x,z,u)). [para(1270(a,1),7931(a,1,2))]. 8011 x \ R(x,y,L(x,z,u)) = a(x,y,L(x,z,u)). [hyper(553,a,8010,a),flip(a)]. 8012 K(x,y) * K(y * L(x,z,u),x) = a(x,y,L(x,z,u)). [hyper(7044,a,8011,a)]. 8013 K(x,y) * R(x,z,L(x,u,w)) = T(x,y) * a(x,z,L(x,u,w)). [para(8011(a,1),4377(a,1,2)),flip(a)]. 8014 T(x,y) \ R(T(x,y),z,L(x,u,w)) = a(T(x,y),z,L(T(x,y),u,w)). [para(7662(a,1),8011(a,1,2))]. 8015 K(x,y) * K(y,x * L(y,z,u)) = a(y,x,L(y,z,u)) \ 1. [para(8012(a,1),7060(a,1,1)),flip(a)]. 8016 (x / (y * K(z,y))) * R(y * K(z,y),z,L(y,u,w)) = x * a(y,z,L(y,u,w)). [para(8012(a,1),6641(a,2,2))]. 8017 T(x,y) * a(x,z,L(x,u,w)) = R(T(x,y),z,L(x,u,w)). [hyper(6731,a,8013,a),flip(a)]. 8018 T(x,y) \ R(T(x,y),z,L(x,u,w)) != v5 | a(x,z,L(x,u,w)) = v5. [para(8017(a,1),237(a,1,2)),flip(b)]. 8019 a(T(x,y),z,L(T(x,y),u,w)) != v5 | a(x,z,L(x,u,w)) = v5. [para(8014(a,1),8018(a,1))]. 8020 L(x,y,L(x,z,u)) \ x = a(x,y,L(x,z,u)). [hyper(8019,a,8009,a),flip(a)]. 8021 a(x,y,L(x,z,u)) \ x = L(x,y,L(x,z,u)). [para(8020(a,1),5098(a,1,1))]. 8022 ((x / y) * K(y,z)) * R(y * K(z,y),z,L(y,u,w)) = x * a(y,z,L(y,u,w)). [para(5207(a,1),8016(a,1,1))]. 8023 ((x / y) * K(y,z)) * (y * K(z * L(y,u,w),y)) = x * a(y,z,L(y,u,w)). [para(5045(a,1),8022(a,1,2))]. 8024 (x / y) * (T(y,z) * K(z * L(y,u,w),y)) = x * a(y,z,L(y,u,w)). [hyper(189,a,6740,a(flip),b,8023,a(flip)),flip(a)]. 8025 (x / y) * R(y,z,L(y,u,w)) = x * a(y,z,L(y,u,w)). [para(7039(a,1),8024(a,1,2))]. 8026 K(T(x,y * z) * z,T(x,y * z)) = a(x,z,x) * K(z,T(x,y)). [para(8003(a,1),7998(a,1,1)),flip(a)]. 8027 a(x,y,x) * K(y,T(x,z)) = K(x * y,T(x,z)). [hyper(189,a,7584,a(flip),b,8026,a(flip))]. 8029 K(x * y,T(x,z)) * K(x,T(y,z)) = a(x,y,x). [hyper(5404,a,8027,a)]. 8031 R(T(a(x,y,x),y * z),T(y,a(x,y,x)),z) = (y * z) \ ((T(x * y,x) / x) * z). [para(7982(a,1),7958(a,2,1,1))]. 8032 R(a(x,y,x),T(y,a(x,y,x)),z) = (y * z) \ ((T(x * y,x) / x) * z). [para(7983(a,1),8031(a,1,1))]. 8033 (x * y) \ ((T(z * x,z) / z) * y) = R(a(z,x,z),x,y). [para(7982(a,1),8032(a,1,2)),flip(a)]. 8035 L(a(x,T(y,z),x),T(y,z),z) = R(a(x,y,x),y,z). [hyper(189,a,8006,a,b,8033,a(flip)),flip(a)]. 8036 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(4374(a,1),8035(a,1,1,2)),flip(a)]. 8037 R(a(x,y * K(z,y),x),y * K(z,y),z) = L(a(x,y,x),y,z). [para(4374(a,1),8036(a,2,2))]. 8038 (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(1357(a,2),7956(a,1,2,2))]. 8039 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(102(a,1),8038(a,1,2)),flip(a)]. 8040 K(R(x,y,z),x * L(u,x,u)) * ((x * (L(u,x,u) * R(x,y,z))) / (x * L(u,x,u))) = L(R(x,y,z),u,x). [para(7572(a,1),6869(a,1,1))]. 8042 K(R(x,y,z),x * u) * ((x * (L(u,x,u) * R(x,y,z))) / (x * L(u,x,u))) = L(R(x,y,z),u,x). [para(7771(a,1),8040(a,1,1))]. 8043 K(R(x,y,z),x * u) * R((x * (L(u,x,u) * x)) / (x * L(u,x,u)),y,z) = L(R(x,y,z),u,x). [para(1690(a,2),8042(a,1,2))]. 8044 K(R(x,y,z),x * u) * R(x * K(L(u,x,u),x),y,z) = L(R(x,y,z),u,x). [para(4473(a,1),8043(a,1,2,1))]. 8045 K(R(x,y,z),x * u) * R(x * K(u,x),y,z) = L(R(x,y,z),u,x). [para(5409(a,1),8044(a,1,2,1,2))]. 8046 K(R(K(x \ y,x),y,z),K(x \ y,x) * u) * R(K(x \ y,x) * K(u,K(x \ y,x)),y,z) = L((y * z) / ((x * (y / x)) * z),u,K(x \ y,x)). [para(5675(a,2),8045(a,2,1))]. 8048 (K(x,(y * z) / (y * (u \ z))) \ 1) \ (y * (K(u,x) * z)) = (y * (K(u,x) * z)) * ((L(K(x,T(u,z)),z,y) \ 1) \ 1). [para(3871(a,1),7924(a,1,1,1))]. 8049 K(x,(y * z) / (y * (u \ z))) * (y * (K(u,x) * z)) = (y * (K(u,x) * z)) * ((L(K(x,T(u,z)),z,y) \ 1) \ 1). [hyper(3860,a,8048,a)]. 8050 K(x,(y * z) / (y * (u \ z))) * (y * (K(u,x) * z)) = (y * (K(u,x) * z)) * L(K(x,T(u,z)),z,y). [para(2194(a,1),8049(a,2,2))]. 8051 K(x,(y * z) / (y * (u \ z))) * (y * (K(u,x) * z)) = y * z. [hyper(189,a,5931,a(flip),b,8050,a)]. 8052 K(x,(y * z) / (y * (u \ z))) = (y * z) / (y * (K(u,x) * z)). [hyper(76,a,5931,a(flip),b,8050,a),flip(a)]. 8054 K(x,y) * (R(y,z,u) * (K(y,x) * w)) = R(y,z,u) * w. [para(923(a,1),8051(a,1,1,2))]. 8055 (x * (K(y,z) * u)) / (x * u) != w | K((x * u) / (x * (y \ u)),z) = w. [para(8051(a,1),3910(a,1,2))]. 8056 R(K(x,y),z * (K(u,x) * w),v5) = R(K(x,y),z * w,v5). [para(8051(a,1),5767(a,1,2)),flip(a)]. 8057 K(x,y \ (z * (K(u,x) * w))) = K(x,y \ (z * w)). [para(8051(a,1),7615(a,1,2,2)),flip(a)]. 8058 K(x,y \ (z * ((x \ u) * x))) = K(x,y \ (z * u)). [para(4291(a,1),8057(a,1,2,2,2))]. 8059 K(x / y,z \ (u * (y * (x / y)))) = K(x / y,z \ (u * x)). [para(4324(a,1),8057(a,1,2,2,2))]. 8060 K(x,y \ ((x \ 1) * z)) = K(x,y \ (x \ z)). [hyper(189,a,7620,a(flip),b,8058,a(flip))]. 8061 K(x \ 1,y \ ((x \ 1) \ z)) = K(x \ 1,y \ (x * z)). [hyper(189,a,7451,a(flip),b,8060,a(flip))]. 8062 K(1 / x,y \ ((1 / x) \ z)) = K(1 / x,y \ (x * z)). [para(69(a,1),8060(a,1,2,2,1)),flip(a)]. 8063 K(T(x,y),z \ (T(x,y) \ y)) != u | K(x,((x \ 1) * y) / z) = u. [para(8060(a,1),7745(a,1))]. 8064 R(x,y,z) * (K(x,u) * w) = K(x,u) * (R(x,y,z) * w). [hyper(3907,a,8054,a),flip(a)]. 8065 R(x,y,z) * (K(u,x) * w) = K(u,x) * (R(x,y,z) * w). [para(3887(a,1),8054(a,1,2,2)),flip(a)]. 8066 R(K(x,y),z * (u * K(w,x)),v5) = R(K(x,y),z * u,v5). [para(6051(a,1),8056(a,1,2,2))]. 8067 K(L(x,y,z) \ 1,(u \ w) \ ((x \ 1) \ 1)) = L(K(x \ 1,w \ (x * u)),y,z). [para(8061(a,1),6858(a,2,1))]. 8068 K(1 / x,y \ (x * z)) = K(x \ 1,(z \ y) \ x). [hyper(6861,a,8062,a),flip(a)]. 8069 K(x \ 1,(y \ z) \ x) != u | K(x \ 1,z \ (x * y)) = u. [para(8068(a,1),4254(a,1))]. 8070 K(x,y) * (R(x,z,x) * u) = R(T(x,y),z,x) * u. [hyper(189,a,6538,a(flip),b,8064,a(flip))]. 8071 R(x,y,x) * (K(z,x) * (x \ u)) = K(z,x) * ((u / x) * R(x,y,x)). [para(6710(a,1),8065(a,2,2))]. 8072 R(K(x,y),z * y,u) = K(x,R(y * K(w,x),z,u)). [hyper(6753,a,8066,a),flip(a)]. 8073 K(x,R(y * K(z,x),u,w)) = K(x,R(y,u,w)). [hyper(6750,a,8072,a),flip(a)]. 8074 R(K(x,y),(y * K(z,x)) * u,w) = K(x,R(y,u,w)). [hyper(189,a,6184,a,b,8073,a(flip)),flip(a)]. 8076 K(x,R(R(y,K(z,x),u),K(z,x) * u,w)) = K(x,R(y,u,w)). [hyper(189,a,6603,a(flip),b,8074,a(flip)),flip(a)]. 8078 K(x,R(y,K(z,x) * u,w)) = K(x,R(y,u,w)). [hyper(189,a,6602,a(flip),b,8076,a(flip)),flip(a)]. 8080 K(R(x,K(y,z) * u,w),z) = (v5 * K(z,R(x,u,w))) \ v5. [para(8078(a,1),3918(a,1,1,2)),flip(a)]. 8081 K(R(x,K(y,z) * u,w),z) = K(R(x,u,w),z). [hyper(189,a,3918,a(flip),b,8080,a)]. 8082 K(R(x,T(y,z),u),y) = K(R(x,y,u),y). [para(4370(a,1),8081(a,1,1,2)),flip(a)]. 8083 K(R(x,T(y,z),u),T(y,w)) = T(y,w) \ T(y * K(R(x,y,u),y),w). [para(8082(a,1),4658(a,1,2,1,2)),flip(a)]. 8084 K(T(x,y),z \ (x \ y)) = K(x,((x \ 1) * y) / z). [hyper(8063,a,7114,a),flip(a)]. 8085 K(x,((x \ 1) * y) / z) = K(x,y / (z * x)). [hyper(189,a,6449,a(flip),b,8084,a(flip))]. 8086 K(x,(y * z) / (((x \ 1) * z) * x)) = K(x,L(y,z,x \ 1)). [hyper(7155,a,8085,a),flip(a)]. 8087 K(x,(y * z) / L(z,x \ 1,x)) = K(x,L(y,z,x \ 1)). [hyper(189,a,6760,a(flip),b,8086,a(flip)),flip(a)]. 8088 K(x,(y * z) / L(z,x \ 1,x)) = K(x,y). [hyper(189,a,7002,a(flip),b,8087,a)]. 8090 K(x,y / L(z,x \ 1,x)) = K(x,y / z). [para(19(a,1),8088(a,1,2,1))]. 8091 K(x,y / (((x \ 1) * z) * x)) = K(x,y / z). [hyper(189,a,6760,a,b,8090,a(flip)),flip(a)]. 8092 K(x,y / ((x \ 1) \ z)) = K(x,y / (z * x)). [para(17(a,1),8091(a,1,2,2,1)),flip(a)]. 8093 R(K(x,(y / z) / (u * x)),y / z,z) = K(x,y / (((x \ 1) \ u) * z)). [para(8092(a,1),5678(a,1,1))]. 8094 K(x,y) * ((z / y) * R(y,u,y)) = R(y,u,y) * (T(y,x) \ z). [para(4558(a,1),8071(a,1,2)),flip(a)]. 8095 K(R(x,T(y,z),u),T(y,w)) != v5 | K(R(x,y,u),T(y,w)) = v5. [para(8083(a,2),4791(a,1))]. 8096 L(K(x,T(T(y,z),u * z)),z,u) != w | K((u * z) / (u * (x \ z)),y) = w. [para(6741(a,2),8055(a,1))]. 8097 K(x,y / (((x \ 1) \ z) * u)) = K(x,y / ((z * x) * u)). [hyper(189,a,5678,a(flip),b,8093,a(flip))]. 8098 K(x,y / ((z / (x \ 1)) * u)) = K(x,y / ((z * x) * u)). [hyper(189,a,6942,a,b,8097,a(flip)),flip(a)]. 8099 K(x \ 1,y / ((z * (x \ 1)) * u)) = K(x \ 1,y / ((x \ z) * u)). [hyper(189,a,7454,a(flip),b,8097,a(flip))]. 8100 K((x \ 1) \ 1,y / ((z / (x \ 1)) * u)) = K(x,y / ((z * x) * u)). [hyper(4282,a,8098,a)]. 8101 K(x \ 1,y / ((z * (x \ 1)) * u)) = K(x \ 1,y / ((z / x) * u)). [hyper(189,a,7461,a(flip),b,8098,a(flip))]. 8102 K(x \ 1,y / ((z / x) * u)) = K(x \ 1,y / ((x \ z) * u)). [hyper(189,a,8099,a(flip),b,8101,a(flip))]. 8103 (x * y) / (x * (K(z,u) * y)) != w | K((x * y) / (x * (u \ y)),z) = w. [para(7054(a,1),8096(a,1))]. 8104 K((x * y) / (x * (z \ y)),u) = K(z,(x * y) / (x * (u \ y))). [hyper(8103,a,8052,a(flip))]. 8105 K(x,(y * z) / (y * (u \ z))) = (y * (K(x,u) * z)) / (y * z). [hyper(189,a,4957,a(flip),b,8104,a(flip))]. 8106 R(K(x,x \ y),z,T(y,K(x,x \ y) * z)) = K(x,(y * z) / (y * ((x \ y) \ z))). [hyper(189,a,7692,a,b,8105,a),flip(a)]. 8107 K(x,(y * z) / (y * ((x \ y) \ z))) = L(K(x,x \ y),z,y). [hyper(189,a,7664,a(flip),b,8105,a)]. 8108 K(L(x,y,z) \ 1,(u \ w) \ ((x \ 1) \ 1)) = K(L(x,y,z) \ 1,w \ (x * u)). [hyper(189,a,4824,a(flip),b,8067,a)]. 8109 K(L(x,y,z) \ 1,(u \ w) \ x) = K(L(x,y,z) \ 1,w \ (x * u)). [hyper(189,a,7439,a(flip),b,8108,a(flip)),flip(a)]. 8110 K(x,(y * z) / (y * ((x \ y) \ z))) = R(K(x,x \ y),z,T(y,z)). [para(7474(a,1),8106(a,1,3)),flip(a)]. 8111 R(K(x,x \ y),z,T(y,z)) = L(K(x,x \ y),z,y). [hyper(189,a,8107,a(flip),b,8110,a(flip))]. 8113 R(T(K(x,x \ y),z),u,T(y,u)) = T(L(K(x,x \ y),u,y),z). [para(8111(a,1),45(a,2,1))]. 8114 R(K(x,y),z,T(y * x,z)) = L(K(x,x \ (y * x)),z,y * x). [para(3891(a,1),8111(a,1,1))]. 8115 L(K(x,x \ y),z,y) \ K(R(K(x,x \ y),z,T(y,z)),u) = R(K(x,x \ y) * K(u,K(x,x \ y)),z,T(y,z)) \ 1. [para(8111(a,1),4745(a,1,1))]. 8116 R(T(K(x,x \ y),z),u,T(y,u)) = L(T(K(x,x \ y),z),u,y). [hyper(189,a,43,a,b,8113,a)]. 8117 R(K(x,y),z,T(y * x,z)) = L(K(x,y),z,y * x). [para(3891(a,1),8114(a,2,1))]. 8118 ((K(x,y) * z) * T(y * x,z)) / (z * T(y * x,z)) = L(K(x,y),z,y * x). [hyper(189,a,33,a(flip),b,8117,a(flip)),flip(a)]. 8119 R(T(K(x,x \ y),z),u,T(y,u)) = L(K(x,T(x \ y,z)),u,y). [para(5334(a,2),8116(a,2,1))]. 8120 R(K(x,T(x \ y,z)),u,T(y,u)) = L(K(x,T(x \ y,z)),u,y). [para(5334(a,2),8119(a,1,1))]. 8121 L(K(x,y),z,y * x) != u | R(K(x,y),z,T(y * x,z)) = u. [para(8118(a,1),385(a,1))]. 8122 ((x * y) * (K(y,x) * z)) / (z * T(x * y,z)) = L(K(y,x),z,x * y). [para(7472(a,1),8118(a,1,1))]. 8123 ((x * y) * (K(y,x) * z)) / ((x * y) * z) = L(K(y,x),z,x * y). [para(113(a,1),8122(a,1,2))]. 8124 K(x,((y * x) * z) / ((y * x) * (y \ z))) = L(K(x,y),z,y * x). [hyper(189,a,8105,a,b,8123,a(flip)),flip(a)]. 8125 R(K(x,x \ y) * K(z,K(x,x \ y)),u,T(y,u)) \ 1 = L(K(x,x \ y),u,y) \ K(L(K(x,x \ y),u,y),z). [para(8111(a,1),8115(a,1,2,1)),flip(a)]. 8126 R(K(x,x \ y) * K(z,K(x,x \ y)),u,T(y,u)) \ 1 = L(K(x,x \ y),u,y) \ K(x,K(y,L(z,u,y))). [para(7288(a,1),8125(a,2,2))]. 8127 R(K(x,x \ y) * K(z,K(x,x \ y)),u,T(y,u)) \ 1 = L(K(x,x \ y),u,y) \ K(x,K(y,z)). [para(6765(a,1),8126(a,2,2,2))]. 8128 R(K(x,x \ y) * K(z,K(x,x \ y)),u,T(y,u)) \ 1 = L(K(x \ y,x),u,y) * K(x,K(y,z)). [hyper(189,a,5895,a(flip),b,8127,a)]. 8130 R(K(x,T(x \ y,z)),u,T(y,u)) \ 1 = L(K(x \ y,x),u,y) * K(x,K(y,z)). [para(6021(a,1),8128(a,1,1,1))]. 8131 L(K(x \ y,x),z,y) * K(x,K(y,u)) = L(K(x,T(x \ y,u)),z,y) \ 1. [para(8120(a,1),8130(a,1,1)),flip(a)]. 8132 L(K(x \ y,x),z,y) * K(x,K(y,u)) = L(K(T(x \ y,u),x),z,y) * 1. [hyper(189,a,5895,a(flip),b,8131,a)]. 8133 L(K(x \ y,x),z,y) * K(x,K(y,u)) = L(K(x \ y,T(x,u)),z,y) * 1. [para(5380(a,1),8132(a,2,1,1))]. 8134 L(K(x \ y,x),z,y) * K(x,K(y,u)) = L(K(x \ y,T(x,u)),z,y). [hyper(189,a,15,a(flip),b,8133,a)]. 8135 K(x,K(y,z)) * L(K(x \ y,T(x,z)),u,y) = L(K(x,x \ y),u,y) \ 1. [para(8134(a,1),7122(a,1,2))]. 8136 K(x,K(y,z)) * L(K(x \ y,T(x,z)),u,y) != w | L(K(x \ y,x),u,y) = w. [para(8135(a,2),5906(a,1))]. 8137 T(x,y) * K((x \ ((y \ 1) \ x)) * T(x,y),x \ ((y \ 1) \ x)) = (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,T(1 \ y,x)). [para(6840(a,1),5250(a,2,2))]. 8138 T(x,y) * K((x \ ((y \ 1) \ x)) * T(x,y),x \ ((y \ 1) \ x)) = (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,T(y,x)). [para(58(a,1),8137(a,2,2,2,1))]. 8139 T(x,y) * K((x \ ((y \ 1) \ x)) * T(x,y),x \ ((y \ 1) \ x)) = (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y). [para(3615(a,1),8138(a,2,2))]. 8140 T(x,y) * K((y \ 1) \ x,x \ ((y \ 1) \ x)) = (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y). [para(3755(a,1),8139(a,1,2,1))]. 8141 L(K(x \ ((y \ 1) \ x),(x \ ((y \ 1) \ x)) * T(x,y)),T(x,y),z) = (z * ((x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y))) \ (z * T(x,y)). [para(8139(a,1),5909(a,1,1,2)),flip(a)]. 8142 (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y) = T(x,y) * K((y \ 1) \ x,T(1 \ y,x)). [para(6878(a,1),8140(a,1,2)),flip(a)]. 8143 (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y) = T(x,y) * K((y \ 1) \ x,T(y,x)). [para(58(a,1),8142(a,2,2,2,1))]. 8144 (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y) = T(x,y) * K(x / (y \ 1),y). [para(6029(a,1),8143(a,2,2))]. 8145 (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y) = T(x,y) * K(x * y,y). [para(4618(a,1),8144(a,2,2))]. 8146 (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y) = y \ T(x * y,y). [hyper(189,a,7373,a(flip),b,8145,a)]. 8147 (x \ 1) * ((K(y,z) * u) * T((K(z,y) \ u) \ ((x \ 1) \ u),z)) = ((x \ 1) * (K(x,z) * ((x \ 1) \ K(z,y)))) * (K(z,y) \ u). [para(3889(a,1),7170(a,1,2,1))]. 8148 (x \ 1) * ((K(y,z) * u) * T((K(y,z) * u) \ ((x \ 1) \ u),z)) = ((x \ 1) * (K(x,z) * ((x \ 1) \ K(z,y)))) * (K(z,y) \ u). [para(3889(a,1),8147(a,1,2,2,1,1))]. 8149 (x \ 1) * (K(y,z) * (u * T(u \ (K(y,z) \ ((x \ 1) \ u)),z))) = ((x \ 1) * (K(x,z) * ((x \ 1) \ K(z,y)))) * (K(z,y) \ u). [para(713(a,1),8148(a,1,2))]. 8150 (x \ 1) * (y * T(y \ ((x \ 1) \ y),z)) = ((x \ 1) * (K(x,z) * ((x \ 1) \ K(z,u)))) * (K(z,u) \ y). [para(6837(a,1),8149(a,1,2))]. 8151 ((x \ 1) * (K(x,y) * ((x \ 1) \ K(y,z)))) * (K(y,z) \ u) = K((x \ 1) \ 1,y) * u. [hyper(4947,a,8150,a),flip(a)]. 8153 ((x \ 1) * (K(x,y) * ((x \ 1) \ K(y,z)))) * (K(y,z) \ u) = K(x,y) * u. [para(2648(a,1),8151(a,2,1))]. 8154 (K(x,y) * K(y,z)) * (K(y,z) \ u) = K(x,y) * u. [para(4970(a,1),8153(a,1,1))]. 8155 (K(x,y) * K(y,z)) * u = K(x,y) * (K(y,z) * u). [para(16(a,1),8154(a,1,2))]. 8157 (K(x,y) * (K(y,z) * u)) / (K(x,y) * K(y,z)) = u * K(K(x,y) * K(y,z),u). [hyper(76,a,8155,a(flip),b,4405,a)]. 8158 (K(x,y) * K(z,x)) * u = K(z,x) * (K(x,y) * u). [para(1959(a,2),8155(a,1,1))]. 8159 (K(x,y) * K(z,x)) * u = K(x,y) * (K(z,x) * u). [hyper(189,a,5830,a,b,8158,a)]. 8160 (K(x,y) * K(z,x)) * (K(y,x) * u) = K(z,x) * u. [para(3887(a,1),8158(a,2,2))]. 8161 L(x,K(y,z),K(z,u)) = x. [hyper(346,a,8159,a)]. 8162 x \ (K(y,z) * (K(u,y) * x)) = T(K(y,z) * K(u,y),x). [hyper(147,a,8159,a,b,17,a),flip(a)]. 8164 T(T(x,K(y,z)),K(y,u)) = T(x,K(y,u) * K(z,y)). [hyper(189,a,7783,a(flip),b,8161,a(flip))]. 8167 L(x,K(y,T(z,u)),K(z,w)) = x. [para(5337(a,1),8161(a,1,2))]. 8168 (K(x,y) * K(z,T(x,u))) * w = K(x,y) * (K(z,T(x,u)) * w). [para(8167(a,1),102(a,1,2))]. 8169 (K(x,y) * K(z,x)) \ u = K(y,x) * (K(x,z) * u). [hyper(75,a,3887,a(flip),b,8160,a)]. 8170 T(T(x,K(y,z)),K(y,u)) = T(x,K(y,z) * K(u,y)). [hyper(333,a,8164,a)]. 8172 (K(x,y) * K(y,z)) \ u = K(z,y) * (K(y,x) * u). [para(1959(a,1),8169(a,1,1))]. 8173 x * K(x,K(y,z) * K(u,y)) = T(T(x,K(y,z)),K(y,u)). [hyper(189,a,4396,a(flip),b,8170,a),flip(a)]. 8174 T(x,K(y,z) * K(u,y)) = T(x,K(y,u) * K(z,y)). [hyper(189,a,8164,a(flip),b,8170,a(flip))]. 8175 (K(x,y) * K(y,z)) \ u = (K(y,x) * K(z,y)) * u. [hyper(189,a,8158,a,b,8172,a)]. 8176 T(x * K(K(y,z) * K(u,y),x),K(y,u) * K(z,y)) = x. [hyper(4482,a,8174,a)]. 8177 x * K(x,K(y,z) * K(u,y)) = T(x,K(y,u) * K(z,y)). [hyper(4414,a,8174,a)]. 8178 (x * (K(y,z) * K(u,y))) / T(((K(y,z) * K(u,y)) \ x) * (K(y,z) * K(u,y)),K(y,u) * K(z,y)) = T(K(y,z) * K(u,y),(K(y,z) * K(u,y)) \ x). [para(8174(a,1),4022(a,1,2))]. 8180 T(K(x,y),z) * T(K(y,u),z) = T(K(y,u) * K(x,y),z). [hyper(189,a,7120,a(flip),b,8162,a(flip)),flip(a)]. 8181 T(K(x,y) * K(z,x),K(x,z) * u) = (K(x,z) * u) \ (K(x,y) * u). [para(3887(a,1),8162(a,1,2,2)),flip(a)]. 8182 T(K(x,K(y,z)) * x,K(y,u)) = x * K(x,K(y,z) * K(u,y)). [para(4403(a,1),8173(a,2,1)),flip(a)]. 8184 T(K(x,y) * K(y * R(x,z,u),x),w) = a(x,y,R(x,z,u)). [hyper(189,a,7904,a(flip),b,8180,a(flip))]. 8187 K(x,K(y,z)) * T(x,K(y,u)) = x * K(x,K(y,z) * K(u,y)). [hyper(189,a,6849,a(flip),b,8182,a(flip)),flip(a)]. 8188 K(x,K(y,z)) * K(x,K(y,u)) = K(x,K(y,z) * K(u,y)). [hyper(4800,a,8187,a)]. 8189 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(189,a,6873,a,b,8188,a(flip)),flip(a)]. 8190 (K(x,y) * K(z,x)) \ (K((K(x,y) * K(z,x)) \ u,K(x,y)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = (((K(x,y) * K(z,x)) \ u) \ u) \ 1. [para(8188(a,2),4465(a,2,2)),flip(a)]. 8191 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(6259(a,1),8188(a,1,1))]. 8192 (K(x,y) * (K(y,z) * u)) * (K(y,x) * K(z,y)) = u * K(K(x,y) * K(y,z),u). [hyper(6650,a,8157,a)]. 8193 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(5966(a,1),8189(a,1,2,2,2))]. 8194 K(x * K(y,z),K(y,u) * K(w,y)) = K(x,K(y,u)) * K(x,K(y,w)). [para(6259(a,1),8191(a,1,2)),flip(a)]. 8195 K(x * K(y,z),K(y,u) * K(w,y)) = K(x,K(y,u) * K(w,y)). [hyper(189,a,8188,a(flip),b,8194,a)]. 8198 K(K(x,y) * z,K(y,u) * K(w,y)) = K(z,K(y,u) * K(w,y)). [para(5348(a,1),8195(a,1,1)),flip(a)]. 8199 T((K(x,y) * z) * K(y,x),K(x,u)) = z * K(K(u,x) * K(x,y),z). [hyper(7764,a,8192,a)]. 8200 x * K(K(y,z) * K(z,u),x) = T(T(x,K(z,u)),K(z,y)). [para(6115(a,1),8199(a,1,1)),flip(a)]. 8201 x * K(K(y,z) * K(z,u),x) = T(x,K(z,u) * K(y,z)). [hyper(189,a,8170,a(flip),b,8200,a)]. 8202 K(K(x,y) * K(y,z),u) = K(u,K(y,x) * K(z,y)). [hyper(20,a,8177,a,b,8201,a)]. 8203 x * K(K(y,z) * K(u,y),x) = T(x,K(y,z) * K(u,y)). [para(1959(a,2),8201(a,1,2,1))]. 8204 K(K(x,y) * K(z,x),u) = K(u,K(x,y) * K(z,x)). [hyper(20,a,4396,a(flip),b,8203,a)]. 8205 T(T(x,K(y,z) * K(u,y)),K(y,u) * K(z,y)) = x. [para(8203(a,1),8176(a,1,1))]. 8206 K(K(x,y) * K(z,x),u) = K(u,K(z,x) * K(x,y)). [para(1959(a,1),8204(a,2,2))]. 8207 (K(x,y) * K(z,x)) * K(u,K(x,y) * K(z,x)) = T(K(x,y) * K(z,x),u). [para(8204(a,1),4396(a,2,2)),flip(a)]. 8208 K(K(x,y) * K(y,z),u) = K(u,K(x,y) * K(y,z)). [para(1959(a,1),8206(a,1,1))]. 8209 K(x,K(y,z) * K(u,y)) = K(x,K(z,y) * K(y,u)). [hyper(189,a,8202,a(flip),b,8208,a(flip)),flip(a)]. 8210 K(K(x,y) * z,K(u,y) * K(y,w)) = K(z,K(y,u) * K(w,y)). [hyper(189,a,8198,a(flip),b,8209,a(flip))]. 8211 T(x * K(y,z),K(z,u)) / (K(u,z) * x) = (K(y,z) * K(z,u)) * K(x,K(z,y) * K(u,z)). [para(8210(a,1),7773(a,2,2))]. 8212 (x * (K(y,z) * K(u,y))) / x = T(K(y,z) * K(u,y),x). [hyper(4384,a,8207,a)]. 8213 T(x * K(y,z),K(z,u)) / (K(u,z) * x) = T(K(z,u) * K(y,z),K(u,z) * x). [para(7761(a,1),8212(a,1,1))]. 8214 K(x,K(y,z)) * K(x,K(z,u)) = K(z,K(x,y) * K(u,x)). [hyper(3844,a,8193,a)]. 8215 T(x * K(y,z),K(z,u)) / (K(u,z) * x) = K(y,z) * (K(z,u) * K(x,K(z,y) * K(u,z))). [hyper(189,a,8155,a(flip),b,8211,a)]. 8217 (1 / (1 / (x * L(x \ 1,y,z)))) \ (x / x) = (x / (x * L(x \ 1,y,z))) / x. [para(19(a,1),2601(a,1,2,1))]. 8218 (1 / (1 / (x * L(x \ 1,y,z)))) \ 1 = (x / (x * L(x \ 1,y,z))) / x. [para(64(a,1),8217(a,1,2))]. 8220 (x / (x * L(x \ 1,y,z))) / x = 1 / (x * L(x \ 1,y,z)). [hyper(236,a,8218,a)]. 8223 (L(1 / x,y,z) \ 1) / x = 1 / (x * L(x \ 1,y,z)). [para(2174(a,1),8220(a,1,1))]. 8224 1 / (x * L(x \ 1,y,z)) = L(1 / x,y,z) \ (1 / x). [hyper(189,a,5008,a(flip),b,8223,a(flip))]. 8225 1 / (x * L(x \ 1,y,z)) = L(x \ 1,y,z) \ (x \ 1). [hyper(189,a,5085,a(flip),b,8224,a)]. 8226 1 / ((x \ 1) * L((x \ 1) \ 1,y,z)) = L(x,y,z) \ x. [hyper(189,a,5779,a(flip),b,8225,a)]. 8227 (1 / (x * L(x \ 1,y,z))) \ (L(x \ 1,y,z) \ 1) = (x \ 1) \ 1. [para(8225(a,2),5007(a,1,1))]. 8228 1 / (x \ L(x,y,z)) = L(x,y,z) \ x. [para(854(a,1),8226(a,1,2))]. 8229 (L(x,y,z) \ x) * (x \ L(x,y,z)) = 1. [para(8228(a,1),19(a,1,1))]. 8230 (L(x,y,z) \ x) * T(x \ L(x,y,z),u) = K(x \ L(x,y,z),u). [para(8228(a,1),4390(a,2,1)),flip(a)]. 8231 ((((x \ L(x,y,z)) * u) / (((L(x,y,z) \ x) * (x \ L(x,y,z))) * u)) \ 1) \ 1 = K((L(x,y,z) \ x) \ 1,L(x,y,z) \ x) * (((x \ L(x,y,z)) * u) / (1 * u)). [para(8229(a,1),5661(a,1,2,2,1)),flip(a)]. 8232 (((x * y) \ x) \ 1) / ((y \ 1) \ 1) = 1 / (y * ((x * y) \ x)). [para(8227(a,1),7705(a,1,2))]. 8233 (1 / ((x * y) \ x)) / y = 1 / (y * ((x * y) \ x)). [hyper(189,a,4929,a(flip),b,8232,a(flip)),flip(a)]. 8234 (1 / ((x * y) \ x)) / y = (y * ((x * y) \ x)) \ 1. [hyper(189,a,5806,a(flip),b,8233,a)]. 8235 (x * ((y * x) \ y)) \ 1 = x \ (1 / ((y * x) \ y)). [hyper(189,a,7876,a(flip),b,8234,a(flip))]. 8236 ((x * ((y * x) \ y)) \ 1) \ (1 / ((y * x) \ y)) = x. [para(8234(a,1),69(a,1,1))]. 8237 ((x * ((y * x) \ y)) \ 1) * T(x,z) = T(x,z) / (x * ((y * x) \ y)). [para(8236(a,1),4187(a,1,2,1))]. 8238 ((x * ((y * x) \ y)) \ 1) * T(x,z) = (x * ((y * x) \ y)) \ T(x,z). [hyper(189,a,5806,a(flip),b,8237,a)]. 8239 (x \ (1 / ((y * x) \ y))) * T(x,z) = (x * ((y * x) \ y)) \ T(x,z). [para(8235(a,1),8238(a,1,1))]. 8240 T((1 / ((x * y) \ x)) * K(y,z),y) = (y * ((x * y) \ x)) \ T(y,z). [hyper(189,a,7877,a,b,8239,a(flip)),flip(a)]. 8241 T(T(1 / ((x * y) \ x),z),y) = (y * ((x * y) \ x)) \ T(y,z). [para(5238(a,1),8240(a,1,1))]. 8242 (x * ((y * x) \ y)) \ T(x,z) = T(1 / ((y * x) \ y),z). [hyper(189,a,5601,a(flip),b,8241,a(flip))]. 8243 1 / ((x * T(y,z)) \ x) = T(1 / ((x * y) \ x),z). [hyper(189,a,7112,a(flip),b,8242,a(flip)),flip(a)]. 8244 T(1 / ((x * y) \ x),z) \ 1 = (x * T(y,z)) \ x. [para(8243(a,1),69(a,1,1))]. 8245 ((x * T(y,z)) \ x) \ 1 = T(((x * y) \ x) \ 1,z). [para(8244(a,1),2096(a,1,1))]. 8246 T(((x * y) \ x) \ 1,x) = ((y * x) \ x) \ 1. [para(113(a,1),8245(a,1,1,1)),flip(a)]. 8247 L(x \ 1,x,y) \ K(x,y) = ((x * y) \ y) \ 1. [hyper(189,a,902,a(flip),b,8246,a(flip)),flip(a)]. 8248 L((K(x,y) * K(z,x)) \ 1,K(x,y) * K(z,x),u) \ K(K(x,y) * K(z,x),u) = (((K(y,x) * K(x,z)) \ u) \ u) \ 1. [para(8175(a,2),8247(a,2,1,1))]. 8249 (((K(x,y) * K(y,z)) \ u) \ u) \ 1 = (K(x,y) * K(y,z)) \ K(K(y,x) * K(z,y),u). [para(6649(a,1),8248(a,1,1)),flip(a)]. 8250 (((K(x,y) * K(y,z)) \ u) \ u) \ 1 = (K(y,x) * K(z,y)) * K(K(y,x) * K(z,y),u). [hyper(189,a,8175,a(flip),b,8249,a)]. 8252 (((K(x,y) * K(y,z)) \ u) \ u) \ 1 = T(K(y,x) * K(z,y),u). [hyper(189,a,4396,a,b,8250,a)]. 8253 ((K(x,y) * (K(y,z) * u)) \ u) \ 1 = T(K(y,z) * K(x,y),u). [para(8172(a,1),8252(a,1,1,1))]. 8254 K(x,y \ (x \ 1)) / ((L(y * (x * ((y \ 1) / x)),z,u) \ 1) * (y * (x * ((y \ 1) / x)))) = L(K(y \ (x \ 1),x) \ 1,z,u). [para(6782(a,1),6788(a,1,1))]. 8255 K(x,y \ (x \ 1)) / ((L(K(x,y \ (x \ 1)),z,u) \ 1) * (y * (x * ((y \ 1) / x)))) = L(K(y \ (x \ 1),x) \ 1,z,u). [para(6782(a,1),8254(a,1,2,1,1,1))]. 8256 K(x,y \ (x \ 1)) / ((K(x,L(x * y,z,u) \ 1) \ 1) * (y * (x * ((y \ 1) / x)))) = L(K(y \ (x \ 1),x) \ 1,z,u). [para(6776(a,1),8255(a,1,2,1,1))]. 8257 K(x,y \ (x \ 1)) / (K(L(x * y,z,u) \ 1,x) * (y * (x * ((y \ 1) / x)))) = L(K(y \ (x \ 1),x) \ 1,z,u). [para(3871(a,1),8256(a,1,2,1))]. 8258 K(x,y \ (x \ 1)) / (K(L(x * y,z,u) \ 1,x) * K(x,y \ (x \ 1))) = L(K(y \ (x \ 1),x) \ 1,z,u). [para(6782(a,1),8257(a,1,2,2))]. 8259 (x * K(y,z * x)) / T(T(K(y,z),x * K(y,z * x)),x * K(y,z * x)) = (K(y,z * x) * x) / K(y,T(z,x * K(y,z * x))). [para(5334(a,2),6848(a,2,2))]. 8260 (x * K(y,z * x)) / T(T(K(y,z),x * K(y,z * x)),x * K(y,z * x)) = (K(y,z * x) * x) / K(y,T(z,x)). [para(7593(a,1),8259(a,2,2))]. 8261 (x * K(y,z * x)) / T(T(K(y,z),x * K(y,z * x)),x * K(y,z * x)) = (K(y,z * x) * x) * K(z,T(y,x)). [hyper(189,a,5401,a(flip),b,8260,a)]. 8263 (x * K(y,z * x)) / T(T(K(y,z),x * K(y,z * x)),x * K(y,z * x)) = K(y,z * x) * (x * K(z,T(y,x))). [hyper(189,a,6906,a(flip),b,8261,a)]. 8264 (x * K(y,z * x)) / T(T(K(y,z),x * K(y,z * x)),x * K(y,z * x)) = K(y,z * x) * (K(z,y) * x). [para(5345(a,1),8263(a,2,2))]. 8265 (x * K(y,z * x)) / K(y,z) = K(y,z * x) * (K(z,y) * x). [para(6031(a,1),8264(a,1,2))]. 8266 (x * K(y,z * x)) * K(z,y) = K(y,z * x) * (K(z,y) * x). [hyper(3930,a,8265,a)]. 8268 K(x,y * z) * (K(y,x) * z) != u | z * (K(x,y * z) * K(y,x)) = u. [para(8266(a,1),6764(a,1))]. 8269 L(x,y,z) * (K(x,u * L(x,y,z)) * K(u,x)) = L(L(x,u,x),y,z). [hyper(8268,a,7860,a)]. 8270 L(x,y,z) * (K(u,x) * K(x,u * L(x,y,z))) = L(L(x,u,x),y,z). [para(1959(a,1),8269(a,1,2))]. 8271 L(x,y,z) * (a(x,u,L(x,y,z)) \ 1) = L(L(x,u,x),y,z). [para(8015(a,1),8270(a,1,2))]. 8272 L(x,y,z) \ L(L(x,u,x),y,z) = a(x,u,L(x,y,z)) \ 1. [hyper(80,a,8271,a)]. 8273 K(x * (y \ T(y * z,y)),K(y * z,L(y,z,x))) / ((x * z) / (x * (y \ T(y * z,y)))) = 1 / ((x * (y \ T(y * z,y))) \ (x * z)). [para(7286(a,1),5941(a,1,1))]. 8274 L(K(x \ ((y \ 1) \ x),(x \ ((y \ 1) \ x)) * T(x,y)),T(x,y),z) = (z * (y \ T(x * y,y))) \ (z * T(x,y)). [para(8146(a,1),8141(a,2,1,2))]. 8275 K(x * (y \ T(y * z,y)),K(y * z,y)) / ((x * z) / (x * (y \ T(y * z,y)))) = 1 / ((x * (y \ T(y * z,y))) \ (x * z)). [para(6689(a,1),8273(a,1,1,2))]. 8276 K(x * y,K(z * (x \ T(x * y,x)),x)) / ((z * y) / (z * (x \ T(x * y,x)))) = 1 / ((z * (x \ T(x * y,x))) \ (z * y)). [para(5966(a,1),8275(a,1,1))]. 8278 K(x * y,K(z * (x \ (x * y)),x)) / ((z * y) / (z * (x \ T(x * y,x)))) = 1 / ((z * (x \ T(x * y,x))) \ (z * y)). [para(6248(a,1),8276(a,1,1,2))]. 8279 K(x * y,K(z * y,x)) / ((z * y) / (z * (x \ T(x * y,x)))) = 1 / ((z * (x \ T(x * y,x))) \ (z * y)). [para(16(a,1),8278(a,1,1,2,1,2))]. 8280 K(x,K(x * y,z * y)) / ((z * y) / (z * (x \ T(x * y,x)))) = 1 / ((z * (x \ T(x * y,x))) \ (z * y)). [para(5969(a,1),8279(a,1,1))]. 8281 K(x,K(y,z * y)) / ((z * y) / (z * (x \ T(x * y,x)))) = 1 / ((z * (x \ T(x * y,x))) \ (z * y)). [para(6003(a,1),8280(a,1,1))]. 8282 K(x,K(y,z)) / ((y * z) / (y * (x \ T(x * z,x)))) = 1 / ((y * (x \ T(x * z,x))) \ (y * z)). [para(5992(a,1),8281(a,1,1))]. 8283 K(x,K(y,z)) / ((x * z) / (x * (y \ T(y * z,y)))) = 1 / ((x * (y \ T(y * z,y))) \ (x * z)). [para(5966(a,1),8282(a,1,1))]. 8284 K(x,K(y,z)) / L(K(y,T(z * y,x)),z,x) = 1 / ((x * (y \ T(y * z,y))) \ (x * z)). [para(7613(a,1),8283(a,1,2))]. 8285 K(x,K(y,z)) * L(K(T(z * y,x),y),z,x) = 1 / ((x * (y \ T(y * z,y))) \ (x * z)). [hyper(5908,a,8284,a)]. 8286 K(x,K(y,z)) * L(K(z * y,T(y,x)),z,x) = 1 / ((x * (y \ T(y * z,y))) \ (x * z)). [para(5380(a,1),8285(a,1,2,1))]. 8287 1 / ((x * (y \ T(y * z,y))) \ (x * z)) != K(x,K(y,z)) * u | L(K(z * y,T(y,x)),z,x) = u. [para(8286(a,1),22(a,1))]. 8288 (((T(x,y) \ 1) * x) * T((x \ 1) \ 1,y)) * (T((x \ 1) \ 1,y) \ y) = y * T(y \ T(y * K(x \ 1,x),x),T((x \ 1) \ 1,y)). [para(5520(a,1),4019(a,1,1,1))]. 8289 x * T(x \ T(x * K(y \ 1,y),y),T((y \ 1) \ 1,x)) = (K(x,y) * T(y,x)) * (T((y \ 1) \ 1,x) \ x). [para(4789(a,1),8288(a,1,1)),flip(a)]. 8290 x * T(x \ T(x * K(y \ 1,y),y),T((y \ 1) \ 1,x)) = y * (T((y \ 1) \ 1,x) \ x). [para(4370(a,1),8289(a,2,1))]. 8291 x * T(x \ T(x * K(y \ 1,y),y),T((y \ 1) \ 1,x)) = y \ (x * (1 / (1 / y))). [hyper(189,a,4984,a(flip),b,8290,a)]. 8292 x * T((T(y,x) \ 1) * y,T((y \ 1) \ 1,x)) = y \ (x * (1 / (1 / y))). [para(5595(a,1),8291(a,1,2,1))]. 8293 x * T((T(y,x) \ 1) * y,T(y,x)) = y \ (x * (1 / (1 / y))). [para(2676(a,1),8292(a,1,2))]. 8294 x \ (y * (1 / (1 / x))) = y * ((T(x,y) \ 1) * x). [para(6852(a,1),8293(a,1,2)),flip(a)]. 8295 K((x * (1 / (1 / y))) \ (y * z),T(z,u)) = K((x * ((T(y,x) \ 1) * y)) \ z,T(z,u)). [para(8294(a,1),5538(a,1,1,1)),flip(a)]. 8297 K((x * ((T(y,x) \ 1) * y)) \ z,T(z,u)) = K((x * y) \ (((y \ 1) \ 1) * z),T(z,u)). [para(3259(a,1),8295(a,1,1)),flip(a)]. 8298 K((x * ((T(y,x) \ 1) * y)) \ z,T(z,u)) = K((x * y) \ (z * y),T(z,u)). [hyper(189,a,6578,a(flip),b,8297,a)]. 8299 K((x * ((T(y,x) \ 1) * y)) \ z,T(z,x)) = K(x \ z,T(z,y)). [hyper(189,a,7099,a(flip),b,8298,a)]. 8300 K(T(x,y) \ z,T(z,x)) = K(x \ z,T(z,y)). [hyper(189,a,5584,a(flip),b,8299,a(flip)),flip(a)]. 8301 K(T(x,y) \ z,z) = K(x \ z,T(z,y)). [hyper(189,a,7530,a(flip),b,8300,a(flip)),flip(a)]. 8302 R(x,y,z) \ R(x * K(u \ x,T(x,w)),y,z) = K(T(u,w) \ x,R(x,y,z)). [para(8301(a,1),4741(a,1,2,1,2))]. 8303 K(T(x,y) \ z,R(z,u,w)) = K(x \ z,R(T(z,y),u,w)). [hyper(189,a,7049,a(flip),b,8302,a(flip))]. 8304 (x * y) / (R((z \ R(1 / u,u,x)) * z,u * x,y) * ((u * x) * y)) = K(z,(x * y) / (z * (R(R(1 / u,u,x),u * x,y) \ (x * y)))). [para(3270(a,2),5702(a,1,2,1))]. 8305 (1 / (x \ y)) \ R(1 / (x \ y),z,L(1 / (x \ y),x \ y,x)) = K(z * (1 / (1 / (y \ x))),T(y \ x,z)) * K(1 / (x \ y),z). [para(6876(a,1),7046(a,2,1))]. 8306 (1 / (x \ y)) \ R(1 / (x \ y),z,L(1 / (x \ y),x \ y,x)) = K(z * (y \ x),y \ x) * K(1 / (x \ y),z). [para(7178(a,1),8305(a,2,1))]. 8307 (1 / (x \ y)) \ R(1 / (x \ y),z,L(1 / (x \ y),x \ y,x)) = K(z * (y \ x),y \ x) * K((x \ y) \ 1,z). [para(2647(a,1),8306(a,2,2))]. 8309 (1 / (x \ y)) \ R(1 / (x \ y),z,L(1 / (x \ y),x \ y,x)) = K(z * (y \ x),y \ x) * K(y \ x,z). [para(5209(a,1),8307(a,2,2))]. 8310 (1 / (x \ y)) \ R(1 / (x \ y),z,L(1 / (x \ y),x \ y,x)) = (y \ x) \ R(y \ x,z,y \ x). [hyper(189,a,4697,a(flip),b,8309,a)]. 8311 (1 / (x \ y)) \ R(1 / (x \ y),z,1 / (1 / (y \ x))) = (y \ x) \ R(y \ x,z,y \ x). [para(2196(a,1),8310(a,1,2,3))]. 8312 (1 / (x \ y)) \ R(1 / (x \ y),z,y \ x) = (y \ x) \ R(y \ x,z,y \ x). [para(4079(a,1),8311(a,1,2))]. 8313 (x \ y) * R((x \ y) \ 1,z,y \ x) = (y \ x) \ R(y \ x,z,y \ x). [hyper(859,a,8312,a)]. 8314 (x \ y) \ R(x \ y,z,x \ y) = y \ (x * R(x \ y,z,x \ y)). [hyper(189,a,1315,a(flip),b,8313,a(flip))]. 8315 T(x,x \ y) \ R((x \ y) \ y,z,(x \ y) \ y) = y \ ((x \ y) * R((x \ y) \ y,z,(x \ y) \ y)). [hyper(535,a,8314,a)]. 8316 T(x,x \ y) \ R((x \ y) \ y,z,(x \ y) \ y) = y \ (R(x,z,(x \ y) \ y) * (x \ y)). [para(513(a,1),8315(a,2,2))]. 8317 T(x,x \ y) \ R((x \ y) \ y,z,(x \ y) \ y) = y \ (R(x,z,x) * (x \ y)). [para(7715(a,1),8316(a,2,2,1))]. 8318 x \ (R(y,z,y) * (y \ x)) = y \ R(y,z,y). [hyper(189,a,7723,a(flip),b,8317,a(flip))]. 8321 R(x,y,x) * (x \ z) = z * (x \ R(x,y,x)). [para(8318(a,1),17(a,1,2)),flip(a)]. 8322 R(x,y,x) * (x \ z) = z * a(x,y,x). [para(7941(a,1),8321(a,2,2))]. 8323 (x / y) * ((y \ z) \ T(z,y)) = x * a(y,y \ z,y). [hyper(189,a,6713,a(flip),b,8322,a(flip)),flip(a)]. 8324 (x / y) * R(y,z,y) = x * a(y,z,y). [hyper(189,a,6710,a(flip),b,8322,a(flip)),flip(a)]. 8325 (x * a(y,z,y)) / R(y,z,y) = x / y. [hyper(76,a,8322,a(flip),b,6710,a(flip))]. 8326 x * (y * a(x,z,x)) = R(x,z,x) * y. [para(8322(a,1),924(a,1,2))]. 8327 (x * a(y,z,y)) \ (x * R(y,z,y)) = y. [para(8322(a,1),6712(a,1,1))]. 8328 (x * y) * a(y,z,y) = x * R(y,z,y). [para(18(a,1),8324(a,1,1)),flip(a)]. 8329 (x / y) * R(y,z,y) != x * u | a(y,z,y) = u. [para(8324(a,2),22(a,1))]. 8330 ((x \ y) * L(x,z,u)) * R(T(x,x \ y),w,T(x,x \ y)) = (y * L(x,z,u)) * a(T(x,x \ y),w,T(x,x \ y)). [para(1279(a,1),8324(a,1,1))]. 8331 K(x,y) * ((z / y) * R(y,u,y)) = y * (L(T(y,x),u,y) \ z). [para(8324(a,2),7972(a,1,2))]. 8332 R(x / y,y,a(y,z,y)) = x / y. [hyper(7953,a,8325,a)]. 8333 R((x * y) / y,y,a(y,z,y)) = x. [hyper(189,a,18,a(flip),b,8332,a)]. 8334 R(x,y,a(y,z,y)) = x. [para(18(a,1),8333(a,1,1))]. 8336 L(T(x,a(x,y,x)),a(x,y,x),R(z,x,a(x,y,x))) = (z * a(x,y,x)) \ ((z * x) * a(x,y,x)). [para(8334(a,1),555(a,1,1,1)),flip(a)]. 8337 x * (a(x,y,x) * z) = R(x,y,x) * z. [para(7980(a,2),8326(a,1,2))]. 8338 (x * (y * z)) \ (x * (y * R(z,u,z))) != w | L(a(z,u,z),y * z,x) = w. [para(8328(a,1),355(a,1,2,2))]. 8339 (a(x,y,x) \ 1) \ K(z * x,a(x,y,x)) = (((z * R(x,y,x)) / (z * x)) \ 1) \ 1. [para(8328(a,1),4736(a,1,1,1,1)),flip(a)]. 8340 a(x,y,x) * (x * z) = R(x,y,x) * z. [hyper(20,a,922,a(flip),b,8337,a)]. 8341 ((R(x,y,x) * z) * u) / ((x * z) * u) != w | R(a(x,y,x),x * z,u) = w. [para(8340(a,1),385(a,1,1,1))]. 8342 R(x,y,x) * (T(x,z) \ u) = x * (L(T(x,z),y,x) \ u). [hyper(189,a,8094,a(flip),b,8331,a(flip)),flip(a)]. 8343 K(x,y) * (x * (L(T(x,z),u,x) \ w)) = R(T(x,y),u,x) * (T(x,z) \ w). [para(8342(a,1),8070(a,1,2))]. 8344 R(T(x,y),z,x) * (T(x,u) \ w) = T(x,y) * (L(T(x,u),z,x) \ w). [hyper(4564,a,8343,a),flip(a)]. 8345 (((x * R(y,z,y)) / (x * y)) \ 1) \ 1 = a(y,z,y) * K(x * y,a(y,z,y)). [hyper(8001,a,8339,a),flip(a)]. 8346 a(x,y,x) * K(z * x,a(x,y,x)) = (R(a(x,y,x),x,z) \ 1) \ 1. [para(7951(a,1),8345(a,1,1,1)),flip(a)]. 8347 a(x,y,x) * K(z * x,a(x,y,x)) = R((a(x,y,x) \ 1) \ 1,x,z). [hyper(189,a,3105,a,b,8346,a)]. 8348 L(T(x,a(x,y,x)),a(x,y,x),R(z,x,a(x,y,x))) = (z * a(x,y,x)) \ (z * R(x,y,x)). [para(8328(a,1),8336(a,2,2))]. 8349 L(T(x,a(x,y,x)),a(x,y,x),R(z,x,a(x,y,x))) = x. [hyper(189,a,8327,a(flip),b,8348,a)]. 8352 L(x,a(x,y,x),R(z,x,a(x,y,x))) = x. [para(7737(a,1),8349(a,1,1))]. 8353 L(x,a(x,y,x),z) = x. [para(372(a,1),8352(a,1,3))]. 8354 (x * a(y,z,y)) * L(y,u,w) = x * (a(y,z,y) * L(y,u,w)). [para(8353(a,1),352(a,1,2,1))]. 8355 (x * L(y,z,u)) * a(T(y,y \ x),w,T(y,y \ x)) = ((y \ x) * L(y,z,u)) * R(T(y,y \ x),w,y). [para(6434(a,1),8330(a,1,2)),flip(a)]. 8357 (K(x,y) * K(z,x)) \ (K((K(x,y) * K(z,x)) \ u,K(x,y)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = ((K(y,x) * (K(x,z) * u)) \ u) \ 1. [para(8169(a,1),8190(a,2,1,1))]. 8358 (x * y) / (R(R((z \ (1 / u)) * z,u,x),u * x,y) * ((u * x) * y)) = K(z,(x * y) / (z * (R(R(1 / u,u,x),u * x,y) \ (x * y)))). [para(3270(a,2),8304(a,1,2,1,1))]. 8359 (K(x,y) * K(z,x)) \ (K((K(x,y) * K(z,x)) \ u,K(x,y)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = T(K(x,z) * K(y,x),u). [hyper(189,a,8253,a(flip),b,8357,a)]. 8360 (K(x,y) * K(z,x)) \ (K(K(y,x) * (K(x,z) * u),K(x,y)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = T(K(x,z) * K(y,x),u). [para(8169(a,1),8359(a,1,2,1,1))]. 8361 (K(x,y) * K(z,x)) \ (K(x,K(u,y)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = T(K(x,z) * K(y,x),u). [para(6262(a,1),8360(a,1,2,1))]. 8362 (K(x,y) * K(z,x)) \ (K(x,K(y,u)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = T(K(x,z) * K(y,x),u). [para(5983(a,1),8361(a,1,2,1))]. 8364 (K(x,y) * K(z,x)) \ (K(x,K(y,u)) * K(K(y,x) * (K(x,z) * u),K(x,z))) = T(K(x,z) * K(y,x),u). [para(8169(a,1),8362(a,1,2,2,1))]. 8365 (K(x,y) * K(z,x)) \ (K(x,K(y,u)) * K(x,K(u,z))) = T(K(x,z) * K(y,x),u). [para(6262(a,1),8364(a,1,2,2))]. 8367 (K(x,y) * K(z,x)) \ K(u,K(x,y) * K(z,x)) = T(K(x,z) * K(y,x),u). [para(8214(a,1),8365(a,1,2))]. 8368 K(x,y) * (K(y,z) * K(u,K(y,x) * K(z,y))) = T(K(y,z) * K(x,y),u). [hyper(189,a,8169,a(flip),b,8367,a(flip)),flip(a)]. 8369 T(x * K(y,z),K(z,u)) / (K(u,z) * x) = T(K(z,u) * K(y,z),x). [hyper(189,a,8215,a,b,8368,a(flip)),flip(a)]. 8370 T(K(x,y) * K(z,x),K(y,x) * u) = T(K(x,y) * K(z,x),u). [hyper(189,a,8213,a(flip),b,8369,a(flip)),flip(a)]. 8371 K(x,(y * z) / (x * (R(R(1 / u,u,y),u * y,z) \ (y * z)))) = (y * z) / ((R((x \ (1 / u)) * x,u,y) * (u * y)) * z). [para(110(a,1),8358(a,1,2)),flip(a)]. 8372 K(x,(y * z) / (x * (R(R(1 / u,u,y),u * y,z) \ (y * z)))) = (y * z) / (((((x \ (1 / u)) * x) * u) * y) * z). [para(110(a,1),8371(a,2,2,1))]. 8373 K(x,(y * z) / (x * (R(R(1 / u,u,y),u * y,z) \ (y * z)))) = (y * z) / ((K(u \ (x \ 1),x) * y) * z). [para(5554(a,1),8372(a,2,2,1,1))]. 8374 K(x,(y * z) / (x * (R(R(1 / u,u,y),u * y,z) \ (y * z)))) = R(K(x,u \ (x \ 1)),y,z). [hyper(189,a,5673,a(flip),b,8373,a)]. 8375 K(x,(y * z) / (x * (R(R(1 / u,u,y),u * y,z) \ (y * z)))) = K(x,R(u * x,y,z) \ 1). [hyper(189,a,5671,a(flip),b,8374,a)]. 8376 K(x,(y * z) / (x * ((u * y) * z))) = K(x,R(u * x,y,z) \ 1). [para(452(a,1),8375(a,1,2,2,2))]. 8377 K(x,R(y * x,z,u) \ 1) = K(x,R(y,z,u) \ (x \ 1)). [hyper(5701,a,8376,a),flip(a)]. 8378 K(x \ 1,R(y,z,u) \ ((x \ 1) \ 1)) = K(R(x,z,u) \ 1,y \ x). [hyper(7481,a,8377,a),flip(a)]. 8379 K(R(x,y,z) \ 1,u \ x) = K(x \ 1,R(u,y,z) \ x). [hyper(189,a,7439,a(flip),b,8378,a(flip))]. 8380 K(x \ 1,R(y / (z / u),z / u,u) \ x) = K(x \ 1,z / ((x \ y) * u)). [hyper(189,a,7491,a(flip),b,8379,a(flip))]. 8381 K(x \ 1,y / ((x \ z) * u)) = K(x \ 1,((z * u) / y) \ x). [para(391(a,1),8380(a,1,2,1)),flip(a)]. 8382 K(x \ 1,y / ((z / x) * u)) = K(x \ 1,((z * u) / y) \ x). [hyper(189,a,8102,a,b,8381,a(flip)),flip(a)]. 8383 K((x \ 1) \ 1,((y * z) / u) \ (x \ 1)) = K(x,u / ((y * x) * z)). [hyper(189,a,8100,a(flip),b,8382,a(flip))]. 8384 K(x,((y * z) / u) \ (x \ 1)) = K(x,u / ((y * x) * z)). [hyper(2659,a,8383,a)]. 8385 K(x,y / ((z * u) * x)) = K(x,y / ((z * x) * u)). [hyper(189,a,6761,a(flip),b,8384,a(flip)),flip(a)]. 8386 K(x,y / ((z * x) * u)) = K(x,y / (x * (z * u))). [hyper(189,a,6757,a(flip),b,8385,a(flip))]. 8387 K(x,((y * x) * z) / (x * (y * (y \ z)))) = L(K(x,y),z,y * x). [hyper(189,a,8124,a(flip),b,8386,a(flip))]. 8388 K(x,y / ((x * z) * u)) = K(x,y / (x * (z * u))). [hyper(189,a,7016,a(flip),b,8386,a(flip)),flip(a)]. 8389 (x \ 1) / (x \ K(x,y / (x * (z * u)))) = K(y / ((x * z) * u),x). [para(8388(a,1),3970(a,1,2,2))]. 8390 x * K(x,y / (x * (z * u))) = T(x,y / ((x * z) * u)). [para(8388(a,1),4396(a,2,2)),flip(a)]. 8391 L(K(x,y),z,y * x) = K(x,((y * x) * z) / (x * z)). [para(17(a,1),8387(a,1,2,2,2)),flip(a)]. 8392 L(K(x,y),z,y * x) = K(x,R(y,x,z)). [para(33(a,2),8391(a,2,2))]. 8394 R(K(x,y),z,T(y * x,z)) = K(x,R(y,x,z)). [hyper(8121,a,8392,a)]. 8395 L(T(K(x,y),z),u,y * x) = T(K(x,R(y,x,u)),z). [para(8392(a,1),43(a,2,1))]. 8396 K(x,R(y,x,T(z,y * x))) != u | K(((z / x) * (y * x)) \ (z * (y * x)),y) = u. [para(8392(a,1),7694(a,1))]. 8397 K(x,R(y,x,z)) * ((y * x) * z) = (K(x,y) * z) * T(y * x,z). [para(8394(a,1),383(a,1,1))]. 8398 L(T(K(x,y),z),u,y * x) = K(x,T(R(y,x,u),z)). [hyper(189,a,5334,a,b,8395,a)]. 8399 L(T(K(x,y),z),u,y * x) = K(x,R(T(y,z),x,u)). [para(45(a,2),8398(a,2,2))]. 8400 L(K(x,T(y,z)),u,y * x) = K(x,R(T(y,z),x,u)). [para(5334(a,2),8399(a,1,1))]. 8401 L(K(x \ y,T(x,z)),u,x * (x \ y)) = R(K(x \ y,T(x,z)),y,u). [hyper(189,a,5691,a(flip),b,8400,a)]. 8402 (K(x,y) * z) * T(y * x,z) = (y * (K(x,y) * x)) * z. [hyper(189,a,5038,a(flip),b,8397,a(flip))]. 8403 (K(x,y) * z) * T(y * x,z) = (x * y) * z. [para(4451(a,1),8402(a,2,1))]. 8404 (x * y) * (K(y,x) * z) = (y * x) * z. [hyper(189,a,7472,a(flip),b,8403,a(flip)),flip(a)]. 8406 L(x,K(y,z),z * y) = x. [hyper(643,a,8404,a)]. 8407 x * (K(y \ x,y) * z) = ((y \ x) * y) * z. [hyper(411,a,8404,a)]. 8409 K(x,y) * ((x * y) \ z) = (y * x) \ z. [hyper(75,a,17,a(flip),b,8404,a),flip(a)]. 8410 L(x,K(y \ z,y),z) = x. [para(17(a,1),8406(a,1,3))]. 8411 L(x,K(y,y \ z),z) = x. [para(3944(a,1),8410(a,1,2))]. 8412 (x * (y / x)) \ (y * z) = K(x \ y,x) * z. [hyper(189,a,4015,a(flip),b,8411,a(flip)),flip(a)]. 8413 ((x * y) \ z) \ K(y,x) = ((y * x) \ z) \ 1. [para(8409(a,1),7358(a,1,1)),flip(a)]. 8414 L(K(x \ y,x),z,y) * (y * z) = ((x \ y) * x) * z. [hyper(7755,a,8407,a)]. 8415 ((x \ y) * x) * (y \ z) = K(x \ y,x) * z. [hyper(20,a,7837,a,b,8407,a),flip(a)]. 8417 K(x \ y,x) * (y \ z) = (x * (y / x)) \ z. [para(17(a,1),8412(a,1,2)),flip(a)]. 8418 K(x,y) * ((((x * y) \ y) \ 1) \ z) = (((y * x) \ y) \ 1) \ z. [para(8413(a,1),5776(a,1,2,1))]. 8419 K(x \ y,x) * (y * z) = ((x \ y) * x) * z. [para(16(a,1),8415(a,1,2)),flip(a)]. 8420 ((x \ y) * x) * (y \ z) = y * ((x * (y / x)) \ z). [para(8417(a,1),8407(a,1,2)),flip(a)]. 8423 x * ((y * (x / y)) \ z) = K(y \ x,y) * z. [hyper(189,a,8415,a(flip),b,8420,a(flip))]. 8424 (x * (y / x)) \ (K(x,x \ y) * (y * z)) = z. [hyper(20,a,3887,a(flip),b,8423,a)]. 8425 L(x,y,K(z,z \ y)) = x. [hyper(4323,a,8424,a)]. 8426 L(x,y * z,K(z,y)) = x. [para(3891(a,1),8425(a,1,3))]. 8427 L(x,y,z * K(y,z)) = L(x,y,z). [hyper(189,a,4044,a(flip),b,8426,a(flip)),flip(a)]. 8428 L(x,T(y,z) * z,K(z,y)) = x. [para(3874(a,1),8426(a,1,3))]. 8429 L(x,y,T(z,y)) = L(x,y,z). [hyper(5742,a,8428,a),flip(a)]. 8430 L(x,y,z / y) = L(x,y,y \ z). [para(115(a,1),8429(a,1,3)),flip(a)]. 8431 L(x,T(y,z),z) = L(x,y,z). [hyper(4934,a,8427,a)]. 8432 L(x,y,z) = (y * z) \ (z * (T(y,z) * x)). [hyper(189,a,4932,a,b,8427,a(flip))]. 8433 L(x,y / z,z) = L(x,z \ y,z). [para(115(a,1),8431(a,1,2)),flip(a)]. 8438 L(x,1 / y,(1 / y) \ z) = L(x,y \ z,y). [hyper(189,a,5876,a(flip),b,8430,a(flip))]. 8439 (x * (T(y,x) * z)) / L(z,y,x) = y * x. [para(8432(a,2),67(a,1,2))]. 8440 L(x,y \ 1,(1 / y) \ z) = L(x,y \ z,y). [hyper(189,a,5788,a(flip),b,8438,a(flip)),flip(a)]. 8443 L(K(x \ y,x),z,y) = K(x \ y,x). [hyper(21,a,8419,a,b,8414,a)]. 8445 K(x,y) * ((y \ ((x \ 1) \ y)) \ z) = (((y * x) \ y) \ 1) \ z. [para(4271(a,1),8418(a,1,2,1))]. 8446 (((x \ 1) \ y) / y) \ z = (((y * x) \ y) \ 1) \ z. [hyper(189,a,4920,a(flip),b,8445,a(flip)),flip(a)]. 8447 (((x * y) \ x) \ 1) \ K(y,y \ 1) = 1 / (((y \ 1) \ x) / x). [hyper(189,a,5023,a(flip),b,8446,a(flip))]. 8448 1 / (((x \ 1) \ y) / y) = (y * x) \ y. [hyper(4913,a,8447,a),flip(a)]. 8449 1 / (((x \ y) / y) \ 1) = (y * x) \ y. [para(4263(a,1),8448(a,1,2))]. 8450 (x \ y) / y = (y * x) \ y. [hyper(246,a,8449,a),flip(a)]. 8452 (x * (x / y)) \ x = y / x. [para(69(a,1),8450(a,1,1)),flip(a)]. 8456 K(x / ((y * z) * u),y) = K(x / (y * (z * u)),y). [hyper(3971,a,8389,a),flip(a)]. 8457 K(x / (y * (z * x)),y) = K(z \ (y \ 1),y). [hyper(189,a,5553,a(flip),b,8456,a(flip))]. 8458 K(x / ((y * x) * z),z) = K(y \ (z \ 1),z). [hyper(7424,a,8457,a)]. 8459 K((x \ y) / (z * y),z) = K(x \ (z \ 1),z). [para(17(a,1),8457(a,1,1,2,2))]. 8460 K((x / y) \ (z \ 1),z) = K(y / (x * z),z). [para(19(a,1),8458(a,1,1,2,1)),flip(a)]. 8461 K(((x \ y) * x) / (z * (y / (y / x))),z) = K((x / y) \ (z \ 1),z). [para(4865(a,1),8459(a,1,1,1))]. 8462 R(K(x \ y,T(x,z)),y,u) = L(K(x \ y,T(x,z)),u,y). [para(17(a,1),8401(a,1,3)),flip(a)]. 8463 K(((x \ y) * x) / (z * (y / (y / x))),z) = K(y / (x * z),z). [hyper(189,a,8460,a(flip),b,8461,a)]. 8464 K(R(x \ (y / z),x,y / (y / z)),x) = K(y / (z * x),x). [hyper(189,a,3965,a,b,8463,a(flip)),flip(a)]. 8465 (K(x,y \ (x \ 1)) * L(K(y \ (x \ 1),x),z,u)) * ((y * (x * ((y \ 1) / x))) \ w) = w * L(w \ ((y * (x * ((y \ 1) / x))) \ w),z,u). [para(6782(a,1),6787(a,1,1,1))]. 8466 (K(x,y \ (x \ 1)) * K(L(y * x,z,u) \ 1,x)) * ((y * (x * ((y \ 1) / x))) \ w) = w * L(w \ ((y * (x * ((y \ 1) / x))) \ w),z,u). [para(5586(a,1),8465(a,1,1,2))]. 8467 (K(x,y \ (x \ 1)) * K(L(y,z,u) \ (x \ 1),x)) * ((y * (x * ((y \ 1) / x))) \ w) = w * L(w \ ((y * (x * ((y \ 1) / x))) \ w),z,u). [para(7806(a,1),8466(a,1,1,2))]. 8468 (K(x,y \ (x \ 1)) * K(L(y,z,u) \ (x \ 1),x)) * (K(x,y \ (x \ 1)) \ w) = w * L(w \ ((y * (x * ((y \ 1) / x))) \ w),z,u). [para(6782(a,1),8467(a,1,2,1))]. 8469 (K(x,y \ (x \ 1)) * K(L(y,z,u) \ (x \ 1),x)) * (K(y \ (x \ 1),x) * w) = w * L(w \ ((y * (x * ((y \ 1) / x))) \ w),z,u). [para(3889(a,1),8468(a,1,2))]. 8470 x * L(x \ ((y * (z * ((y \ 1) / z))) \ x),u,w) = K(L(y,u,w) \ (z \ 1),z) * x. [hyper(189,a,8160,a(flip),b,8469,a(flip))]. 8472 x * L(x \ (K(y,z \ (y \ 1)) \ x),u,w) = K(L(z,u,w) \ (y \ 1),y) * x. [para(6782(a,1),8470(a,1,2,1,2,1))]. 8473 x * L(K(y \ (z \ 1),T(z,x)),u,w) = K(L(y,u,w) \ (z \ 1),z) * x. [para(5339(a,1),8472(a,1,2,1))]. 8474 x * K(L(y * z,u,w) \ 1,T(y,x)) = K(L(z,u,w) \ (y \ 1),y) * x. [para(7035(a,1),8473(a,1,2))]. 8475 K(L(x * y,z,u) \ 1,x) * w = K(L(y,z,u) \ (x \ 1),x) * w. [hyper(5346,a,8474,a)]. 8476 K(x,y \ (x \ 1)) / (K(L(y,z,u) \ (x \ 1),x) * K(x,y \ (x \ 1))) = L(K(y \ (x \ 1),x) \ 1,z,u). [para(8475(a,1),8258(a,1,2))]. 8477 L(K(x \ (y \ 1),y) \ 1,z,u) = K(y,L(x,z,u) \ (y \ 1)). [hyper(3910,a,8476,a),flip(a)]. 8479 L(K(x,y \ (x \ 1)),z,u) = K(x,L(y,z,u) \ (x \ 1)). [para(3871(a,1),8477(a,1,1))]. 8480 K(x,L(x * y,z,u) \ 1) = K(x,L(y,z,u) \ (x \ 1)). [hyper(189,a,6776,a(flip),b,8479,a(flip)),flip(a)]. 8481 K(x \ 1,L(y,z,u) \ ((x \ 1) \ 1)) = K(L(x,z,u) \ 1,y \ x). [hyper(189,a,7483,a(flip),b,8480,a(flip))]. 8482 K(L(x,y,z) \ 1,u \ x) = K(x \ 1,L(u,y,z) \ x). [hyper(189,a,7439,a(flip),b,8481,a(flip))]. 8483 K(L(x,y,z) \ 1,u \ (x * w)) = K(x \ 1,L(w \ u,y,z) \ x). [hyper(189,a,8109,a(flip),b,8482,a(flip)),flip(a)]. 8484 K(x \ 1,L((y \ z) \ u,y \ z,y) \ x) = K(x \ 1,(y * (x \ u)) \ z). [hyper(189,a,7167,a(flip),b,8483,a(flip))]. 8485 K(x \ 1,(y \ (z * u)) \ x) = K(x \ 1,(z * (x \ u)) \ y). [para(359(a,1),8484(a,1,2,1))]. 8486 K(x \ 1,(y * (x \ z)) \ u) != w | K(x \ 1,(y * z) \ (x * u)) = w. [para(8485(a,1),8069(a,1))]. 8487 K(x,K(K(x \ y,x) * z,R(x \ y,y,u))) * R(K(x \ y,x) * K(z,K(x \ y,x)),y,u) = L((y * u) / ((x * (y / x)) * u),z,K(x \ y,x)). [para(7274(a,1),8046(a,1,1))]. 8488 K(x,K(y,R(x \ z,z,u))) * R(K(x \ z,x) * K(y,K(x \ z,x)),z,u) = L((z * u) / ((x * (z / x)) * u),y,K(x \ z,x)). [para(7145(a,1),8487(a,1,1,2))]. 8490 K(x,K(y,R(z,y,u))) * R(K(x \ y,x) * K(z,K(x \ y,x)),y,u) = L((y * u) / ((x * (y / x)) * u),z,K(x \ y,x)). [para(7273(a,1),8488(a,1,1))]. 8491 L((x * y) / ((z * (x / z)) * y),u,K(z \ x,z)) = K(z,K(x,u)) * R(K(z \ x,z) * K(u,K(z \ x,z)),x,y). [para(7270(a,1),8490(a,1,1)),flip(a)]. 8492 L((x * y) / ((z * (x / z)) * y),u,K(z \ x,z)) = K(z,K(x,u)) * R(K(z \ x,T(z,u)),x,y). [para(6021(a,1),8491(a,2,2,1))]. 8494 L(R(K(x \ y,x),y,z),u,K(x \ y,x)) = K(x,K(y,u)) * R(K(x \ y,T(x,u)),y,z). [para(5675(a,1),8492(a,1,1))]. 8495 K(x,K(y,z)) * R(K(x \ y,T(x,z)),y,u) = R(K(x \ y,x),y,u). [hyper(189,a,6507,a(flip),b,8494,a(flip))]. 8497 K(x,K(y,z)) * L(K(x \ y,T(x,z)),u,y) = R(K(x \ y,x),y,u). [para(8462(a,1),8495(a,1,2))]. 8498 R(K(x \ y,x),y,z) = L(K(x \ y,x),z,y). [hyper(8136,a,8497,a),flip(a)]. 8499 R(K(x \ y,x),y,z) = K(x \ y,x). [hyper(189,a,8443,a(flip),b,8498,a)]. 8501 K(R(x \ y,x,z),x) = K(x \ y,x). [hyper(189,a,7543,a(flip),b,8499,a(flip)),flip(a)]. 8502 K(x / (y * z),z) = K(z \ (x / y),z). [hyper(189,a,8464,a(flip),b,8501,a(flip)),flip(a)]. 8503 K(R(x,y,z),y) = K(y \ (y * x),y). [para(16(a,1),8501(a,1,1,1))]. 8504 K(R(x,y,z),y) = K(R(x,y,u),y). [hyper(189,a,8503,a,b,8503,a)]. 8505 K(R(x,y,z),y) = K(x,y). [hyper(189,a,1215,a(flip),b,8503,a)]. 8506 K(R(x,y,z),T(y,u)) = K(x,T(y,u)). [hyper(8095,a,8505,a)]. 8507 K(x,R(y,x,z)) = K(x,y). [hyper(6752,a,8505,a)]. 8510 K(((x / y) * (z * y)) \ (x * (z * y)),z) = K(y,z). [hyper(8396,a,8507,a)]. 8512 K(x,y / (z * x)) = K(x,x \ (y / z)). [hyper(189,a,7406,a(flip),b,8507,a(flip)),flip(a)]. 8521 T(x,R(y,x,z)) = x * K(R(x,y,u),y). [para(8504(a,1),6754(a,1,2)),flip(a)]. 8524 ((x * y) * z) \ ((y * x) * z) = K(y,T(x,z)). [hyper(189,a,7829,a,b,8506,a(flip)),flip(a)]. 8525 K((T(x,y) \ z) / u,x) = K(x \ (z / u),x). [hyper(189,a,7425,a,b,8502,a(flip)),flip(a)]. 8527 K(x,y / (x * z)) = K(x,x \ (y / z)). [hyper(189,a,6757,a(flip),b,8512,a(flip)),flip(a)]. 8528 T(x,R(y,x,z)) = T(x,y). [hyper(189,a,6471,a(flip),b,8521,a)]. 8532 T(R(x,y,z),(u * (y * z)) / ((x * y) * z)) = T(R(x,y,z),u / R(x,y,z)). [para(397(a,1),8528(a,1,2))]. 8534 x * K(x,x \ (y / (z * u))) = T(x,y / ((x * z) * u)). [para(8527(a,1),8390(a,1,2))]. 8536 K((T(x,y) \ z) / u,R(x,w,v5)) = R(x,w,v5) \ R(x * K(x \ (z / u),x),w,v5). [para(8525(a,1),4741(a,1,2,1,2)),flip(a)]. 8537 K(x,((y / z) * (z * x)) \ (y * (z * x))) = K(x,z). [hyper(189,a,7162,a(flip),b,8510,a(flip)),flip(a)]. 8538 K(((x \ 1) \ y) / y,((z / y) * ((x \ 1) \ T(y,x))) \ (z * (y * (((x \ 1) \ y) / y)))) = K(((x \ 1) \ y) / y,y). [para(3360(a,2),8537(a,1,2,1,2))]. 8539 T(x,y / ((x * z) * u)) = T(x,x \ (y / (z * u))). [hyper(4399,a,8534,a),flip(a)]. 8540 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = T(R(x,z,u),y / R(x,z,u)). [hyper(5484,a,8532,a)]. 8541 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = T(R(x,z,u),R(x,z,u) \ y). [hyper(189,a,3533,a(flip),b,8540,a)]. 8542 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = R(T(x,R(x,z,u) \ y),z,u). [hyper(189,a,45,a,b,8541,a)]. 8543 R(T(x,x \ ((y * (z * u)) / (z * u))),z,u) = R(T(x,R(x,z,u) \ y),z,u). [para(8539(a,1),8542(a,1,1))]. 8544 R(T(x,R(x,y,z) \ u),y,z) = R(T(x,x \ u),y,z). [para(18(a,1),8543(a,1,1,2,2)),flip(a)]. 8545 x / R(T(y,y \ x),z,u) = R(y,z,u) \ x. [para(8544(a,1),233(a,1,2))]. 8546 (R(x,y,z) * u) / (R(T(x,x \ w),y,z) * u) = K(R(x,y,z) \ w,R(x,y,z)). [para(8544(a,1),4613(a,1,2,1))]. 8548 x / R(y \ x,z,u) = R(x / y,z,u) \ x. [para(497(a,1),8545(a,1,2,1))]. 8550 (R(x / y,z,u) \ x) \ x = R(y \ x,z,u). [para(8548(a,1),69(a,1,1))]. 8551 R((x \ y) \ y,z,u) = (R(x,z,u) \ y) \ y. [para(67(a,1),8550(a,1,1,1,1)),flip(a)]. 8552 R(((x * K(y,x)) \ y) \ y,z,u) = (R(x,z,u) \ ((R(x,z,u) * y) / R(x,z,u))) \ y. [para(4742(a,1),8551(a,2,1))]. 8553 K(R(x,y,z) \ u,R(x,y,z)) = K(x \ u,R(x,y,z)). [hyper(189,a,4613,a(flip),b,8546,a(flip))]. 8554 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(8553(a,1),4336(a,1,1,2))]. 8555 K(x \ (R(x,y,z) / u),R(x,y,z)) != w | K(u \ 1,R(x,y,z)) = w. [para(8553(a,1),4517(a,1))]. 8556 K((T(x,y) \ z) / u,R(x,w,v5)) = K(x \ (z / u),R(x,w,v5)). [hyper(189,a,4741,a(flip),b,8536,a)]. 8557 K(x \ (T(y,z) \ R(y,u,w)),R(y,u,w)) = K(y \ (R(y,u,w) / x),R(y,u,w)). [hyper(189,a,7413,a(flip),b,8556,a(flip)),flip(a)]. 8559 K(x \ (T(y,z) \ R(y,u,w)),R(y,u,w)) = K(x \ 1,R(y,u,w)). [hyper(8555,a,8557,a(flip)),flip(a)]. 8560 K((T(x,y) \ z) \ 1,R(x,u,w)) = K(z \ R(x,u,w),R(x,u,w)). [hyper(7799,a,8559,a),flip(a)]. 8561 K(x \ R(y,z,u),R(y,z,u)) = K(x \ y,R(y,z,u)). [hyper(189,a,5569,a(flip),b,8560,a(flip))]. 8562 K(x \ R(y,z,u),T(R(y,z,u),w)) = K(T(x,w) \ y,R(y,z,u)). [hyper(189,a,8301,a(flip),b,8561,a(flip)),flip(a)]. 8563 K(x \ R(y,z,u),T(R(y,z,u),w)) = K(x \ y,R(T(y,w),z,u)). [hyper(189,a,8303,a(flip),b,8562,a)]. 8564 K(x \ R(y,z,u),R(T(y,w),z,u)) = K(x \ y,R(T(y,w),z,u)). [para(45(a,2),8563(a,1,2))]. 8565 K(x * R(y,z,u),R(T(y,w),z,u)) = K((x \ 1) \ y,R(T(y,w),z,u)). [hyper(189,a,7328,a(flip),b,8564,a(flip)),flip(a)]. 8566 K(x * R(y,z,u),R(T(y,w),z,u)) = K(x * y,R(T(y,w),z,u)). [hyper(189,a,7328,a(flip),b,8565,a)]. 8567 K(x * R(y,z,u),R(y,z,u)) = K(x * y,R(T(y,K(x,w)),z,u)). [hyper(189,a,6672,a(flip),b,8566,a(flip)),flip(a)]. 8568 K(x * R(y,z,u),R(y,z,u)) = K(x * y,R(y,z,u)). [para(1827(a,1),8567(a,2,2,1))]. 8569 T(R(x,y,z) * K(u * x,R(x,y,z)),u) = R(R(x,y,z),u,L(R(x,y,z),x \ 1,x)). [para(8568(a,1),5865(a,1,1,2))]. 8570 R(((x * K(y,x)) \ y) \ y,z,u) = (R(x,z,u) \ y) \ T(y,R(x,z,u)). [hyper(189,a,5017,a(flip),b,8552,a)]. 8571 (R(x,y,z) \ u) \ T(u,R(x,y,z)) = R((x \ u) \ T(u,x),y,z). [para(5015(a,1),8570(a,1,1)),flip(a)]. 8572 (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(8571(a,1),8323(a,1,2))]. 8573 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(4732(a,1),8554(a,1,1))]. 8574 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(5484,a,8573,a)]. 8575 L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = R(L(x,x \ u,x),y,z). [para(4336(a,1),8574(a,1,1)),flip(a)]. 8576 L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = L(R(x,y,z),x \ u,x). [hyper(189,a,47,a(flip),b,8575,a)]. 8577 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(8576(a,1),1710(a,1,1,1)),flip(a)]. 8578 T(R(x * K(y * x,x),z,u),y) = R(R(x,z,u),y,L(R(x,z,u),x \ 1,x)). [para(4732(a,1),8569(a,1,1))]. 8579 T(R(x * K(x * y,x),z,u),y) = R(R(x,z,u),y,L(R(x,z,u),x \ 1,x)). [para(4617(a,1),8578(a,1,1,1,2))]. 8580 R(T(x * K(x * y,x),y),z,u) = R(R(x,z,u),y,L(R(x,z,u),x \ 1,x)). [hyper(5484,a,8579,a)]. 8581 R(R(x,y,z),u,L(R(x,y,z),x \ 1,x)) = R(R(x,u,x),y,z). [para(4626(a,1),8580(a,1,1)),flip(a)]. 8582 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(3762(a,1),8572(a,1,2,1)),flip(a)]. 8583 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(189,a,1710,a(flip),b,8577,a)]. 8584 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(45(a,2),8583(a,2,3))]. 8585 K(((x \ 1) \ y) / y,((z / y) * ((x \ 1) \ T(y,x))) \ (z * ((x \ 1) \ y))) = K(((x \ 1) \ y) / y,y). [hyper(189,a,8059,a(flip),b,8538,a(flip)),flip(a)]. 8586 K((x \ 1) \ 1,((y / z) * ((x \ 1) \ T(z,x))) \ (y * ((x \ 1) \ z))) = K(((x \ 1) \ z) / z,z). [hyper(189,a,4767,a(flip),b,8585,a(flip)),flip(a)]. 8587 K((x \ 1) \ 1,((y / z) * T(z,x)) \ ((x \ 1) * (y * ((x \ 1) \ z)))) = K(((x \ 1) \ z) / z,z). [hyper(8486,a,8586,a)]. 8589 K((x \ 1) \ 1,(y * K(z,x)) \ ((x \ 1) * (y * ((x \ 1) \ z)))) = K(((x \ 1) \ z) / z,z). [para(5140(a,1),8587(a,1,2,1))]. 8590 K(((x \ 1) \ y) / y,y) = K(x,(z * K(y,x)) \ ((x \ 1) * (z * ((x \ 1) \ y)))). [hyper(2659,a,8589,a),flip(a)]. 8591 K(((x \ 1) \ y) / y,y) = K(x,(z * K(y,x)) \ (x \ (z * ((x \ 1) \ y)))). [hyper(189,a,8060,a(flip),b,8590,a)]. 8592 K(((x \ 1) \ y) / y,y) = K(x,z \ (x \ (z * ((x \ 1) \ y)))). [hyper(189,a,6422,a(flip),b,8591,a)]. 8594 K(((x \ 1) \ y) / y,y) = K(x,L(y,x,z)). [hyper(189,a,7490,a(flip),b,8592,a)]. 8595 K(x,L(y,x,z)) = K(x,y). [hyper(4771,a,8594,a),flip(a)]. 8597 K(x,L(y,x,z)) != u | K(x,y) = u. [para(8594(a,1),4771(a,1))]. 8598 T(x,L(y,x,z)) = x * K(x,y). [para(8595(a,1),4396(a,2,2))]. 8601 T(x,L(y,x,z)) = T(x,y). [hyper(189,a,4396,a,b,8598,a)]. 8604 T(x,y \ (x \ (y * z))) = T(x,x \ z). [hyper(189,a,6552,a(flip),b,8601,a(flip)),flip(a)]. 8605 L(x,y,z) * T(y,x) = y * L(x,y,z). [para(8601(a,1),113(a,1,2))]. 8607 T(L(x,y,z),(z * (y * x)) \ ((z * y) * u)) = T(L(x,y,z),L(x,y,z) \ u). [para(368(a,1),8601(a,1,2))]. 8608 L(K(x,y),z * x,u) != w | K(L(x,z,u),y) = w. [para(6770(a,1),8597(a,1))]. 8609 K(x,y \ (x \ z)) != u | K(x,x \ (y \ z)) = u. [para(7201(a,1),8597(a,1))]. 8612 ((x * T(y,x)) * L(x,y,z)) \ (x * (y * L(x,y,z))) = K(L(x,y,z),x * T(y,x)). [para(8605(a,1),965(a,1,2,2))]. 8615 T(L(x,y,z),(z * (y * x)) \ ((z * y) * u)) = L(T(x,L(x,y,z) \ u),y,z). [hyper(189,a,43,a,b,8607,a)]. 8616 L(T(x,(y * (z * x)) \ ((y * z) * u)),z,y) = L(T(x,L(x,z,y) \ u),z,y). [hyper(189,a,43,a,b,8615,a(flip)),flip(a)]. 8617 ((x * y) * L(y,x,z)) \ (y * (x * L(y,x,z))) = K(L(y,x,z),y * T(x,y)). [para(113(a,1),8612(a,1,1,1))]. 8618 K(L(x,y,z),x * T(y,x)) = K(x,y * L(x,y,z)). [hyper(1256,a,8617,a),flip(a)]. 8619 K(L(x,y,z),y * x) = K(x,y * L(x,y,z)). [para(113(a,1),8618(a,1,2))]. 8620 K(x,y * L(x,y,z)) = K(x,x * y). [hyper(5547,a,8619,a),flip(a)]. 8622 L(K(x,x * y),z * x,u) = K(L(x,z,u),y * L(x,y,w)). [para(8620(a,1),5541(a,1,1))]. 8623 K(L(x,y,z),u * L(x,u,w)) = K(L(x,y,z),x * u). [hyper(8608,a,8622,a),flip(a)]. 8624 L(K(L(x,y,z),x * y),y,z) = K(x,x * y). [para(8623(a,1),7092(a,1,1))]. 8625 L(K(x,x * y),y,z) = K(x,x * y). [para(6617(a,1),8624(a,1,1))]. 8627 (x * (y \ T(z * y,y))) \ (x * T(z,y)) = K(y,y * z). [hyper(189,a,7135,a,b,8625,a(flip)),flip(a)]. 8628 K(x,y \ (z * x)) = K(x,x * (y \ z)). [hyper(189,a,7683,a(flip),b,8625,a(flip)),flip(a)]. 8629 1 / L(K(x,x * y),y,z) = K(x * y,x). [para(8625(a,2),3875(a,1,2))]. 8631 K(x,(y \ z) \ x) = K(x,x * (z \ y)). [hyper(5927,a,8628,a)]. 8633 K(x,y \ (x * z)) = K(x,x * (y \ z)). [hyper(189,a,7617,a(flip),b,8628,a(flip)),flip(a)]. 8634 K(x,x * (y \ (x \ z))) = K(x,y \ z). [hyper(189,a,7616,a(flip),b,8628,a(flip))]. 8635 L(K(x,x * (y \ z)),u * x,w) = K(L(x,u,w),y \ (z * x)). [para(8628(a,1),5541(a,1,1))]. 8636 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(189,a,7696,a(flip),b,8633,a(flip)),flip(a)]. 8637 L(K(x,x * (y \ (z \ u))),z \ u,z) = K(x,(z * (x \ y)) \ u). [para(8633(a,1),6240(a,1,1))]. 8638 L(K(x * y,x),y,z) = K(x * y,x). [hyper(5894,a,8629,a)]. 8639 1 / ((x * (y \ T(y * z,y))) \ (x * z)) = K(y * z,y). [para(5923(a,2),8629(a,1,2))]. 8640 K(x * ((y * z) \ y),x) = K(z \ x,x). [hyper(189,a,7698,a(flip),b,8638,a(flip))]. 8642 K((x \ y) \ z,z) = K(z * (y \ x),z). [para(17(a,1),8640(a,1,1,2,1)),flip(a)]. 8643 K(x * L(y \ 1,y,z),x) = K(y \ x,x). [para(140(a,2),8640(a,1,1,2))]. 8644 K(x * ((y * (z * u)) \ (y * z)),x) = K(L(u,z,y) \ x,x). [para(102(a,1),8640(a,1,1,2,1))]. 8645 K((x / y) \ z,z) = K(z * (y / x),z). [para(8452(a,1),8640(a,1,1,2)),flip(a)]. 8646 K(x \ (y * z),z) = K(z * (x \ y),z). [hyper(189,a,5535,a(flip),b,8642,a(flip)),flip(a)]. 8647 K((x \ y) \ z,x) = K(x * (y \ z),x). [hyper(6988,a,8646,a)]. 8648 L(x * K(x * (y \ z),x),u,w) / L(x,u,w) = K(y \ (z * x),L(x,u,w)). [para(8646(a,1),4737(a,1,1,1,2))]. 8649 L(K(x * (y \ (z \ u)),x),z \ u,z) = K((z * (x \ y)) \ u,x). [para(8647(a,1),5528(a,1,1))]. 8651 L(K(x \ ((y \ 1) \ x),(x \ ((y \ 1) \ x)) * T(x,y)),T(x,y),z) = K(y,y * x). [hyper(189,a,8274,a,b,8627,a(flip)),flip(a)]. 8652 T(K(x * y,T(x,z)),z) = 1 / ((u * (x \ T(x * y,x))) \ (u * y)). [hyper(189,a,6023,a,b,8639,a),flip(a)]. 8653 K(L(x,y,z),u \ (w * x)) = K(L(x,y,z),x * (u \ w)). [hyper(8608,a,8635,a),flip(a)]. 8654 K(L(x,y,z),u \ (x * w)) = K(L(x,y,z),x * (u \ w)). [hyper(7058,a,8653,a)]. 8655 K(L(x,y,z),x * (u \ L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). [hyper(189,a,7703,a(flip),b,8654,a(flip))]. 8656 T(K(x,K(y,z)) * K(y * z,y),x) = 1 / ((u * (y \ T(y * z,y))) \ (u * z)). [para(5996(a,2),8652(a,1,1))]. 8657 K(x \ (y * z),L(z,u,w)) = K(z * (x \ y),L(z,u,w)). [hyper(4883,a,8648,a),flip(a)]. 8658 K((x \ y) \ z,L(z,u,w)) = K(z * (y \ x),L(z,u,w)). [hyper(189,a,5920,a,b,8657,a(flip)),flip(a)]. 8659 1 / ((x * (y \ T(y * z,y))) \ (x * z)) = K(u,K(y,z)) * K(y * z,T(y,u)). [hyper(6349,a,8656,a),flip(a)]. 8660 L(K(x * y,T(y,z)),x,z) = K(y * x,T(y,z)). [hyper(8287,a,8659,a)]. 8661 K((x / (x * y)) \ z,z) = K(z * y,T(z,x)). [hyper(189,a,7733,a(flip),b,8660,a(flip)),flip(a)]. 8663 K(x * ((y * z) / y),x) = K(x * z,T(x,y)). [hyper(189,a,8645,a(flip),b,8661,a(flip)),flip(a)]. 8664 K(x * (y \ z),T(x,y)) = K(x * (z / y),x). [para(17(a,1),8663(a,1,1,2,1)),flip(a)]. 8665 K(x * (y \ z),T(x,z)) = K(x * (z / y),x). [hyper(189,a,7585,a,b,8664,a(flip)),flip(a)]. 8666 K(x * (y / z),x) * K(x,T(z \ y,y)) = a(x,z \ y,x). [para(8665(a,1),8029(a,1,1))]. 8667 K(x * (y / z),x) * K(x,y / z) = a(x,z \ y,x). [para(6060(a,1),8666(a,1,2))]. 8668 a(x,y / z,x) = a(x,z \ y,x). [hyper(7954,a,8667,a)]. 8670 L(K(x \ ((y \ 1) \ x),(x \ ((y \ 1) \ x)) * T(x,y)),T(x,y),z) = K(y,x * y). [hyper(189,a,4576,a,b,8651,a)]. 8671 L(K(x \ ((y \ 1) \ x),(y \ 1) \ x),T(x,y),z) = K(y,x * y). [para(3755(a,1),8670(a,1,1,2))]. 8672 L(K((x \ 1) \ 1,(x \ 1) \ y),T(y,x),z) = K(x,y * x). [para(4262(a,1),8671(a,1,1))]. 8673 L(K(x,(x \ 1) \ y),T(y,x),z) = K(x,y * x). [para(2648(a,1),8672(a,1,1))]. 8674 L(K(x,x * y),T(y,x),z) = K(x,y * x). [para(6142(a,1),8673(a,1,1))]. 8675 L(K(x,y * x),T(y,x),z) = K(x,y * x). [para(4576(a,2),8674(a,1,1))]. 8676 L(K(x,y * x),y,z) = K(x,y * x). [hyper(189,a,6612,a(flip),b,8675,a(flip)),flip(a)]. 8677 L(K(x * y,y),x,z) = 1 / K(y,x * y). [para(8676(a,1),5892(a,1,2)),flip(a)]. 8678 L(K(x * y,y),x,z) = K(x * y,y). [hyper(189,a,3875,a(flip),b,8677,a)]. 8679 L(K(x * L(y,z,u),x),L(y,z,u),u * z) = L(K(y * x,x),z * y,u). [para(8678(a,1),5856(a,1,1)),flip(a)]. 8680 L(K(x * y,y),z * x,u) = K(y * L(x,z,u),y). [hyper(189,a,8638,a(flip),b,8679,a(flip))]. 8683 L(K((x \ (y \ z)) * u,u),x * (x \ (y \ z)),y) = K(u * ((y * x) \ z),u). [para(183(a,1),8680(a,2,1,2))]. 8684 L(K(L(x \ 1,x,y) * z,z),(y * x) * L(x \ 1,x,y),u) = K(z * ((u * (y * x)) \ (u * y)),z). [para(309(a,1),8680(a,2,1,2))]. 8685 L(K(x * (y \ (z \ u)),x),y * (y \ (z \ u)),z) = K(x * ((z * y) \ u),x). [para(4617(a,1),8683(a,1,1))]. 8686 L(K(x * (y \ (z \ u)),x),z \ u,z) = K(x * ((z * y) \ u),x). [para(17(a,1),8685(a,1,2))]. 8687 K((x * (y \ z)) \ u,y) = K(y * ((x * z) \ u),y). [hyper(189,a,8649,a(flip),b,8686,a(flip)),flip(a)]. 8689 K(x * ((y * (x * z)) \ u),x) = K((y * z) \ u,x). [para(16(a,1),8687(a,1,1,1,2)),flip(a)]. 8690 L(x * K(x * ((y * z) \ u),x),w,v5) \ L(x,w,v5) = K(L(x,w,v5),(y * (x \ z)) \ u). [para(8687(a,1),4738(a,1,1,1,2))]. 8691 K(L(x,y,z),(u * (x \ w)) \ v5) = K(L(x,y,z),x * ((u * w) \ v5)). [hyper(4884,a,8690,a),flip(a)]. 8693 L(K(x * L(y \ 1,y,z),x),(z * y) * L(y \ 1,y,z),u) = K(x * ((u * (z * y)) \ (u * z)),x). [para(4617(a,1),8684(a,1,1))]. 8694 L(K(x \ y,y),(z * x) * L(x \ 1,x,z),u) = K(y * ((u * (z * x)) \ (u * z)),y). [para(8643(a,1),8693(a,1,1))]. 8695 K(x * ((y * (z * u)) \ (y * z)),x) = L(K(u \ x,x),z,y). [para(278(a,1),8694(a,1,2)),flip(a)]. 8697 L(K(x \ y,y),z,u) = K(L(x,z,u) \ y,y). [hyper(189,a,8644,a(flip),b,8695,a(flip))]. 8698 K(L(x,y,z) \ u,u) \ 1 = L(K(u,x \ u),y,z). [para(8697(a,1),5890(a,1,1))]. 8699 L(K(x,y \ x),z,u) = K(x,L(y,z,u) \ x). [hyper(3872,a,8698,a),flip(a)]. 8700 L(K(x,x * (y \ z)),u,w) = K(x,L(z \ y,u,w) \ x). [para(8631(a,1),8699(a,1,1))]. 8701 K(x,L((y \ z) \ u,y \ z,y) \ x) = K(x,(y * (x \ u)) \ z). [hyper(189,a,8637,a(flip),b,8700,a(flip))]. 8702 K(x,(y \ (z * u)) \ x) = K(x,(z * (x \ u)) \ y). [para(359(a,1),8701(a,1,2,1))]. 8703 K(x,(y * (x \ z)) \ u) = K(x,x * ((y * z) \ u)). [hyper(189,a,8631,a(flip),b,8702,a(flip))]. 8705 K(x,(y * (z / x)) \ u) = K(x,x * ((y * z) \ u)). [hyper(6431,a,8703,a)]. 8706 K(x,(y * (x \ z)) \ (x \ u)) = K(x,(y * z) \ u). [hyper(189,a,8634,a(flip),b,8703,a)]. 8707 K(x,x * ((y * (x * z)) \ u)) = K(x,(y * z) \ u). [para(16(a,1),8703(a,1,2,1,2)),flip(a)]. 8708 K(x,x \ ((y * (x \ z)) \ u)) = K(x,(y * z) \ u). [hyper(8609,a,8706,a)]. 8709 K(x,(y * (x * z)) \ u) = K(x,(y * z) \ (x \ u)). [para(16(a,1),8706(a,1,2,1,2)),flip(a)]. 8710 ((x * (y * z)) \ u) \ T(y * ((x * (y * z)) \ u),K(w,y)) = T(y,(x * (y * z)) \ u) * K(w,K(y,(x * z) \ u)). [para(8707(a,1),7390(a,1,2,2)),flip(a)]. 8711 K(x,(y * z) \ u) * T(x * K(((y * (x * z)) \ u) * x,x),(y * (x * z)) \ u) = T(x,T((y * (x * z)) \ u,x)). [para(8707(a,1),7408(a,1,1))]. 8712 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(5073(a,1),8708(a,1,2,2,1,2))]. 8713 K(L(x,y,z),x \ ((u * (x \ w)) \ v5)) = L(K(x,(u * w) \ v5),y * x,z). [para(8708(a,1),5541(a,1,1)),flip(a)]. 8714 K(L(x,y,z),x \ ((u * (x \ w)) \ v5)) != v6 | K(L(x,y,z),(u * w) \ v5) = v6. [para(8713(a,2),8608(a,1))]. 8715 ((x * (y * z)) \ u) \ T(y * ((x * (y * z)) \ u),K(w,y)) = K(y,(x * (y * z)) \ u) * T(y,K(w,(x * z) \ u)). [hyper(189,a,5975,a,b,8710,a)]. 8716 K(x,(y * z) \ u) * T(x * K(x * ((y * (x * z)) \ u),x),(y * (x * z)) \ u) = T(x,T((y * (x * z)) \ u,x)). [para(4617(a,1),8711(a,1,2,1,2))]. 8717 ((x * (y * z)) \ u) \ T(y * ((x * (y * z)) \ u),K(w,y)) = K(y,(x * z) \ (y \ u)) * T(y,K(w,(x * z) \ u)). [para(8709(a,1),8715(a,2,1))]. 8718 K(x,(y * z) \ u) * T(x * K((y * z) \ u,x),(y * (x * z)) \ u) = T(x,T((y * (x * z)) \ u,x)). [para(8689(a,1),8716(a,1,2,1,2))]. 8719 T(x,T((y * (x * z)) \ u,(y * z) \ u)) = T(x,T((y * (x * z)) \ u,x)). [hyper(6378,a,8718,a)]. 8720 T(x,T((y * (x * z)) \ u,(y * z) \ u)) != w | T(x,(y * (x * z)) \ u) = w. [para(8719(a,2),3594(a,1))]. 8721 ((x * (y * z)) \ u) \ T(y * ((x * (y * z)) \ u),K(w,y)) = T(y,T((x * z) \ (y \ u),w)). [hyper(189,a,7661,a(flip),b,8717,a)]. 8722 ((x * (y * z)) \ u) \ T(y * ((x * (y * z)) \ u),K(y,w)) = T(y,T((x * z) \ (y \ u),w)). [para(6118(a,1),8721(a,1,2))]. 8723 T(x,T((y * (x * z)) \ u,w)) = T(x,T((y * z) \ (x \ u),w)). [hyper(7221,a,8722,a)]. 8724 T(x,T((y * z) \ (x \ u),(y * z) \ u)) = T(x,(y * (x * z)) \ u). [hyper(8720,a,8723,a),flip(a)]. 8725 T(x,(y * (x * z)) \ u) = T(x,(y * z) \ (x \ u)). [hyper(189,a,7605,a(flip),b,8724,a(flip))]. 8726 T(x,(y * (z * x)) \ u) = T(x,(y * z) \ (x \ u)). [hyper(189,a,6842,a,b,8725,a(flip)),flip(a)]. 8727 L(T(x,(y * z) \ (x \ ((y * z) * u))),z,y) = L(T(x,L(x,z,y) \ u),z,y). [para(8726(a,1),8616(a,1,1))]. 8728 L(T(x,L(x,y,z) \ u),y,z) = L(T(x,x \ u),y,z). [para(8604(a,1),8727(a,1,1)),flip(a)]. 8729 (L(x,y,z) \ u) / (L(T(x,x \ w),y,z) \ u) = K(L(x,y,z),L(x,y,z) \ w). [para(8728(a,1),4610(a,1,2,1))]. 8731 K(L(x,y,z),L(x,y,z) \ u) = K(L(x,y,z),x \ u). [hyper(189,a,4610,a(flip),b,8729,a(flip))]. 8732 K(L(x,y,z),x \ ((u * (x \ (1 / L(x,y,z)))) \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). [hyper(189,a,8712,a(flip),b,8731,a(flip))]. 8733 K(L(x,y,z),(u * (1 / L(x,y,z))) \ w) = K(L(x,y,z),(u * (1 / x)) \ w). [hyper(8714,a,8732,a)]. 8734 K(L(x,y,z),L(x,y,z) * ((u * 1) \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). [hyper(189,a,8705,a(flip),b,8733,a(flip)),flip(a)]. 8735 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). [para(15(a,1),8734(a,1,2,2,1))]. 8736 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),(u * (x \ 1)) \ w). [hyper(189,a,7448,a(flip),b,8735,a)]. 8737 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),x * ((u * 1) \ w)). [hyper(189,a,8691,a(flip),b,8736,a)]. 8738 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),x * (u \ w)). [para(15(a,1),8737(a,2,2,2,1))]. 8739 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(189,a,8636,a,b,8738,a(flip)),flip(a)]. 8740 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(189,a,8655,a(flip),b,8739,a)]. 8742 K(L(x,y,z),u \ L(x,y,z)) = K(L(x,y,z),u \ x). [para(2794(a,1),8740(a,1,2))]. 8743 K(x \ L(y,z,u),L(y,z,u)) = (w * K(L(y,z,u),x \ y)) \ w. [para(8742(a,1),3918(a,1,1,2)),flip(a)]. 8744 K(x \ L(y,z,u),L(y,z,u)) = K(x \ y,L(y,z,u)). [hyper(189,a,3918,a(flip),b,8743,a)]. 8745 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(8744(a,1),5445(a,1,1,2))]. 8746 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(8658(a,1),8745(a,1,1,2))]. 8747 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(58(a,1),8746(a,1,1,2,1,2))]. 8748 T(L(x * K(x * y,x),z,u),y) = y \ T(L(x,z,u) * y,L(x,z,u)). [para(4729(a,1),8747(a,1,1))]. 8749 L(T(x * K(x * y,x),y),z,u) = y \ T(L(x,z,u) * y,L(x,z,u)). [hyper(189,a,43,a,b,8748,a(flip)),flip(a)]. 8750 x \ T(L(y,z,u) * x,L(y,z,u)) = L(R(y,x,y),z,u). [para(4626(a,1),8749(a,1,1)),flip(a)]. 8751 R(L(x,y,z),u,L(x,y,z)) = L(R(x,u,x),y,z). [hyper(3672,a,8750,a)]. 8752 (x * y) * L(R(z,u,z),y,x) = x * (y * R(z,u,L(z,y,x))). [para(8751(a,1),351(a,1,2))]. 8753 x * R(y,z,L(y,x,u)) = x * R(y,z,y). [hyper(340,a,8752,a),flip(a)]. 8754 R(x,y,L(x,z,u)) = R(x,y,x). [hyper(260,a,8753,a),flip(a)]. 8758 R(R(x,y,z),u,R(x,y,z)) = R(R(x,u,x),y,z). [hyper(189,a,8581,a(flip),b,8754,a(flip))]. 8760 (x / y) * R(y,z,y) = x * a(y,z,L(y,u,w)). [para(8754(a,1),8025(a,1,2))]. 8762 (R(x,y,R(x,z,u)) * z) * u = R(R(x,y,x),z,u) * (z * u). [para(8758(a,1),382(a,1,1)),flip(a)]. 8763 a(x,y,L(x,z,u)) = a(x,y,x). [hyper(8329,a,8760,a),flip(a)]. 8765 (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(8758(a,1),8760(a,1,2))]. 8766 (R(x,y,R(x,z,u)) * z) * u = (R(x,y,x) * z) * u. [hyper(189,a,110,a(flip),b,8762,a)]. 8767 (R(T(x,y),z,T(x,y)) * u) * w = (R(T(x,y),z,R(x,u,w)) * u) * w. [para(7411(a,1),8766(a,1,1,1)),flip(a)]. 8768 (x * (K(y,z) * K(u,y))) / T((K(z,y) * (K(y,u) * x)) * (K(y,z) * K(u,y)),K(y,u) * K(z,y)) = T(K(y,z) * K(u,y),(K(y,z) * K(u,y)) \ x). [para(8169(a,1),8178(a,1,2,1,1))]. 8769 (x * (K(y,z) * K(u,y))) / T(T((K(y,u) * x) * K(u,y),K(y,z)),K(y,u) * K(z,y)) = T(K(y,z) * K(u,y),(K(y,z) * K(u,y)) \ x). [para(7761(a,1),8768(a,1,2,1))]. 8770 (x * (K(y,z) * K(u,y))) / T(T(T(x,K(y,u)),K(y,z)),K(y,u) * K(z,y)) = T(K(y,z) * K(u,y),(K(y,z) * K(u,y)) \ x). [para(6115(a,1),8769(a,1,2,1,1))]. 8771 (x * (K(y,z) * K(u,y))) / T(T(x,K(y,z) * K(u,y)),K(y,u) * K(z,y)) = T(K(y,z) * K(u,y),(K(y,z) * K(u,y)) \ x). [para(8164(a,1),8770(a,1,2,1))]. 8772 T(K(x,y) * K(z,x),(K(x,y) * K(z,x)) \ u) = (u * (K(x,y) * K(z,x))) / u. [para(8205(a,1),8771(a,1,2)),flip(a)]. 8773 T(K(x,y) * K(z,x),(K(x,y) * K(z,x)) \ u) = T(K(x,y) * K(z,x),u). [hyper(189,a,8212,a(flip),b,8772,a)]. 8774 T(K(x,y) * K(z,x),K(y,x) * (K(x,z) * u)) = T(K(x,y) * K(z,x),u). [para(8169(a,1),8773(a,1,2))]. 8775 T(K(x,y) * K(z,x),K(x,z) * u) = T(K(x,y) * K(z,x),u). [hyper(189,a,8370,a(flip),b,8774,a(flip)),flip(a)]. 8776 (K(x,y) * z) \ (K(x,u) * z) = T(K(x,u) * K(y,x),z). [hyper(189,a,8181,a(flip),b,8775,a(flip)),flip(a)]. 8777 K(x,T(y,z)) * K(u,T(x,z)) = T(K(x,y) * K(u,x),z). [hyper(189,a,6736,a(flip),b,8776,a(flip)),flip(a)]. 8778 K(x,T(y,z)) * (K(u,T(x,z)) * w) = T(K(x,y) * K(u,x),z) * w. [para(8777(a,1),8168(a,1,1)),flip(a)]. 8779 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(189,a,7741,a(flip),b,8778,a(flip))]. 8780 R(T(x,y),z,R(x,u,w)) * (T(x,y) \ v5) = a(x,z,R(x,u,w)) * v5. [para(8184(a,1),8779(a,1,1)),flip(a)]. 8782 R(T(x,y) * K(y * L(x,z,u),T(x,y)),w,v5) * (((x * y) * L(x,z,u)) / T(x,y)) = (((x * y) * L(x,z,u)) / T(x,y)) * R(T(x,y),w,v5). [para(3876(a,1),4948(a,1,1,1,2))]. 8783 R(R(x,y,L(x,z,u)),w,v5) * (((x * y) * L(x,z,u)) / T(x,y)) = (((x * y) * L(x,z,u)) / T(x,y)) * R(T(x,y),w,v5). [para(5048(a,1),8782(a,1,1,1))]. 8784 R(R(x,y,L(x,z,u)),w,v5) * (y * L(x,z,u)) = (((x * y) * L(x,z,u)) / T(x,y)) * R(T(x,y),w,v5). [para(1271(a,1),8783(a,1,2))]. 8785 (((x * y) * L(x,z,u)) / T(x,y)) * R(T(x,y),w,v5) = (R(x,w,v5) * y) * L(x,z,u). [hyper(639,a,8784,a),flip(a)]. 8786 (x * L(y,z,u)) * R(T(y,x),w,v5) = (R(y,w,v5) * x) * L(y,z,u). [para(1271(a,1),8785(a,1,1))]. 8787 (x * L(y,z,u)) * a(T(y,y \ x),w,T(y,y \ x)) = (R(y,w,y) * (y \ x)) * L(y,z,u). [hyper(189,a,8355,a,b,8786,a(flip)),flip(a)]. 8788 (x * L(y,z,u)) * a(T(y,y \ x),w,T(y,y \ x)) = (x * a(y,w,y)) * L(y,z,u). [para(8322(a,1),8787(a,2,1))]. 8789 (x * L(y,z,u)) * a(T(y,y \ x),w,T(y,y \ x)) = x * (a(y,w,y) * L(y,z,u)). [hyper(189,a,8354,a(flip),b,8788,a)]. 8790 (x * L(y,z,u)) * a(y,w,y) = x * (a(y,w,y) * L(y,z,u)). [para(8003(a,1),8789(a,1,2))]. 8791 (x * (a(y,z,y) * L(y,u,w))) \ ((x * (a(y,z,y) * L(y,u,w))) * a(y,z,y)) = L(a(y,z,y),L(y,u,w),x). [para(8790(a,1),7739(a,1,1))]. 8793 L(a(x,y,x),L(x,z,u),w) != v5 | a(x,y,x) = v5. [para(8791(a,1),237(a,1)),flip(b)]. 8794 ((((x \ L(x,y,z)) * u) / (((L(x,y,z) \ x) * (x \ L(x,y,z))) * u)) \ 1) \ 1 = K(x \ L(x,y,z),L(x,y,z) \ x) * (((x \ L(x,y,z)) * u) / (1 * u)). [para(2619(a,1),8231(a,2,1))]. 8795 ((((x \ L(x,y,z)) * u) / (((L(x,y,z) \ x) * (x \ L(x,y,z))) * u)) \ 1) \ 1 = K(x \ L(x,y,z),a(z,y,x)) * (((x \ L(x,y,z)) * u) / (1 * u)). [para(5621(a,1),8794(a,2,1))]. 8796 ((((x \ L(x,y,z)) * u) / (((L(x,y,z) \ x) * (x \ L(x,y,z))) * u)) \ 1) \ 1 = K(x \ L(x,y,z),a(z,y,x)) * (((x \ L(x,y,z)) * u) / u). [para(14(a,1),8795(a,2,2,2))]. 8797 ((((x \ L(x,y,z)) * u) / (((L(x,y,z) \ x) * (x \ L(x,y,z))) * u)) \ 1) \ 1 = K(x \ L(x,y,z),a(z,y,x)) * (x \ L(x,y,z)). [para(18(a,1),8796(a,2,2))]. 8798 ((((x \ L(x,y,z)) * u) / (((L(x,y,z) \ x) * (x \ L(x,y,z))) * u)) \ 1) \ 1 = T(x \ L(x,y,z),a(z,y,x)). [hyper(189,a,4403,a,b,8797,a)]. 8800 T(x \ L(x,y,z),a(z,y,x)) = ((((x \ L(x,y,z)) * u) / (1 * u)) \ 1) \ 1. [para(8229(a,1),8798(a,1,1,1,2,1)),flip(a)]. 8801 T(x \ L(x,y,z),a(z,y,x)) = ((((x \ L(x,y,z)) * u) / u) \ 1) \ 1. [para(14(a,1),8800(a,2,1,1,2))]. 8803 T(x \ L(x,y,z),a(z,y,x)) = ((x \ L(x,y,z)) \ 1) \ 1. [para(18(a,1),8801(a,2,1,1))]. 8804 (L(x,y,z) \ x) * (((x \ L(x,y,z)) \ 1) \ 1) = K(x \ L(x,y,z),a(z,y,x)). [para(8803(a,1),8230(a,1,2))]. 8805 (x \ L(x,y,z)) * (L(x,y,z) \ x) = K(x \ L(x,y,z),a(z,y,x)). [hyper(1997,a,8804,a)]. 8806 K(x \ L(x,y,z),a(z,y,x)) = 1. [hyper(7869,a,8805,a),flip(a)]. 8807 x * K(y \ L(y,z,u),a(u,z,y)) = x. [para(8806(a,2),15(a,1,2))]. 8808 K(a(x,y,z),z \ L(z,y,x)) = 1. [hyper(3879,a,8807,a)]. 8809 1 / a(x,y,z) = a(x,y,z) \ 1. [para(8808(a,1),5018(a,1,2)),flip(a)]. 8810 (a(x,y,z) \ 1) \ 1 = a(x,y,z). [para(8809(a,1),69(a,1,1))]. 8811 (a(x,y,z) \ 1) \ 1 != u | a(x,y,z) = u. [para(8809(a,1),236(a,1,1)),flip(b)]. 8813 (a(x,y,R(x,z,u)) \ 1) \ 1 = a(R(x,z,u),y,x). [para(7911(a,1),8810(a,1,1))]. 8814 a(x,y,x) * K(z * x,a(x,y,x)) = R(a(x,y,x),x,z). [para(8810(a,1),8347(a,2,1))]. 8815 a(R(x,y,z),u,x) = a(x,u,R(x,y,z)). [hyper(8811,a,8813,a),flip(a)]. 8816 a(R(x,y,z),u,x) != w | a(x,u,R(x,y,z)) = w. [para(8813(a,1),8811(a,1))]. 8817 (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(189,a,6829,a,b,8815,a),flip(a)]. 8818 R(a(x,y,x),x,z) = a(x,y,x). [hyper(7992,a,8814,a),flip(a)]. 8819 ((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(189,a,379,a,b,8818,a(flip)),flip(a)]. 8820 (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(7950(a,1),8819(a,1,1,1))]. 8821 ((R(x,y,R(x,z,u)) * z) * u) / ((x * z) * u) = a(R(x,z,u),y,R(x,z,u)). [para(382(a,1),8820(a,1,1))]. 8822 ((R(x,y,x) * z) * u) / ((x * z) * u) = a(R(x,z,u),y,R(x,z,u)). [para(8766(a,1),8821(a,1,1))]. 8823 a(R(x,y,z),u,R(x,y,z)) != w | R(a(x,u,x),x * y,z) = w. [para(8822(a,1),8341(a,1))]. 8824 (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(5611(a,1),8817(a,1,1,2))]. 8825 (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(501(a,1),8824(a,1,1))]. 8826 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(160(a,1),8825(a,1,2)),flip(a)]. 8827 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(189,a,1710,a(flip),b,8826,a)]. 8828 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(45(a,2),8827(a,2,3))]. 8829 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(8816,a,8828,a)]. 8830 a(x,T(x,y) \ y,R(x,z,u)) = a(x,x \ y,R(T(x,y),z,u)). [hyper(189,a,7898,a(flip),b,8829,a(flip)),flip(a)]. 8832 a(x,x \ y,R(T(x,y),z,u)) = a(x,x \ y,R(x,z,u)). [hyper(189,a,7922,a(flip),b,8830,a(flip))]. 8834 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(189,a,8584,a,b,8832,a(flip)),flip(a)]. 8835 a(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = a(x,x \ u,R(x,y,z)). [hyper(7961,a,8834,a)]. 8836 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,y \ (w * y),R(y,z,u)). [para(8835(a,1),8582(a,1,2)),flip(a)]. 8837 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,T(w,y),R(y,z,u)). [para(35(a,2),8836(a,2,2,2))]. 8838 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,w,R(y,z,u)). [para(7921(a,1),8837(a,2,2))]. 8839 x * a(R(y,z,u),w,L(R(y,z,u),v5,v6)) = x * a(y,w,R(y,z,u)). [hyper(189,a,8765,a(flip),b,8838,a(flip)),flip(a)]. 8840 x * a(R(y,z,u),w,R(y,z,u)) = x * a(y,w,R(y,z,u)). [para(262(a,1),8839(a,1,2,3))]. 8841 a(R(x,y,z),u,R(x,y,z)) = a(x,u,R(x,y,z)). [hyper(7985,a,8840,a)]. 8842 R(a(x,y,x),x * z,u) = a(x,y,R(x,z,u)). [hyper(8823,a,8841,a)]. 8843 a(x,y,R(x,x \ z,u)) = R(a(x,y,x),z,u). [para(17(a,1),8842(a,1,2)),flip(a)]. 8844 R(x,y,R(x,x \ z,u)) = x * R(a(x,y,x),z,u). [para(8843(a,1),7885(a,1,2)),flip(a)]. 8845 R(T(x,y),z,R(x,x \ u,w)) = T(x,y) * R(a(x,z,x),u,w). [para(8843(a,1),7895(a,1,2)),flip(a)]. 8846 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(189,a,7411,a(flip),b,8844,a(flip))]. 8847 R(T(x,y),z,R(x,T(x,y) \ u,w)) = T(x,y) * R(a(x,z,x),u,w). [para(8003(a,1),8846(a,1,2,1)),flip(a)]. 8848 R(T(x,y),z,R(x,T(x,y) \ u,w)) = R(T(x,y),z,R(x,x \ u,w)). [hyper(189,a,8845,a,b,8847,a)]. 8850 (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(8848(a,1),8767(a,2,1,1))]. 8851 (R(T(x,y),z,T(x,y)) * (T(x,y) \ u)) * w = (a(x,z,R(x,x \ u,w)) * u) * w. [para(8780(a,1),8850(a,2,1))]. 8853 (R(T(x,y),z,T(x,y)) * (T(x,y) \ u)) * w = (R(a(x,z,x),u,w) * u) * w. [para(8843(a,1),8851(a,2,1,1))]. 8854 (R(T(x,y),z,x) * (T(x,y) \ u)) * w = (R(a(x,z,x),u,w) * u) * w. [para(6434(a,1),8853(a,1,1,1))]. 8856 (T(x,y) * (L(T(x,y),z,x) \ u)) * w = (R(a(x,z,x),u,w) * u) * w. [para(8344(a,1),8854(a,1,1))]. 8857 (R(a(x,y,x),z,u) * z) * u = (z * a(x,y,x)) * u. [para(7966(a,1),8856(a,1,1)),flip(a)]. 8858 ((a(x,y,x) * z) * u) \ ((z * a(x,y,x)) * u) = a(R(a(x,y,x),z,u),z,u). [para(8857(a,1),377(a,1,2))]. 8859 a(R(a(x,y,x),z,u),z,u) = K(z,T(a(x,y,x),u)). [hyper(189,a,8524,a(flip),b,8858,a(flip))]. 8860 a(R(a(x,y,x),z,u),z,u) = K(z,a(x,y,x)). [para(7983(a,1),8859(a,2,2))]. 8861 a(R(a(x,y,x),z,u),z,u) = 1. [hyper(189,a,7990,a(flip),b,8860,a)]. 8864 L(x,y,R(a(z,u,z),y,x)) = x. [hyper(36,a,8861,a)]. 8865 (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(8864(a,1),8439(a,1,2))]. 8866 (R(a(x,y,x),z,u) * (z * u)) / u = z * R(a(x,y,x),z,u). [para(8002(a,1),8865(a,1,1,2,1))]. 8867 x * R(a(y,z,y),x,u) = a(y,z,y) * x. [hyper(386,a,8866,a),flip(a)]. 8868 R(a(x,y,x),z,u) = a(x,y,x). [hyper(20,a,7980,a(flip),b,8867,a)]. 8870 a(x,y,R(x,z,u)) = a(x,y,x). [hyper(189,a,8842,a(flip),b,8868,a(flip)),flip(a)]. 8871 a(x,y * K(z,y),x) = L(a(x,y,x),y,z). [hyper(189,a,8037,a(flip),b,8868,a(flip))]. 8872 (a(x,y,x) * z) * u = a(x,y,x) * (z * u). [para(8868(a,1),110(a,1,1)),flip(a)]. 8874 L(x,y,a(z,u,z)) = x. [para(8868(a,1),8864(a,1,3))]. 8875 (x * (y * a(z,u,z))) \ (x * (a(z,u,z) * (y * w))) = L(w,a(z,u,z) * y,x). [para(8874(a,1),7988(a,2,1))]. 8878 L(x,y,R(x,z,u)) = a(x,y,x) \ x. [para(8870(a,1),7902(a,1,1)),flip(a)]. 8879 L(x,y,R(x,z,u)) = a(x,y,L(x,w,v5)) \ x. [para(8763(a,2),8878(a,2,1))]. 8882 L(a(x,L(y,z,u),x),L(y,z,u),w) = a(x,L(y * K(w,y),z,u),x). [para(4729(a,1),8871(a,1,2)),flip(a)]. 8883 (a(x,y,x) * (z * u)) \ ((a(x,y,x) * z) * (u * w)) = L(w,u,a(x,y,x) * z). [para(8872(a,1),31(a,2,1)),flip(a)]. 8884 (x * a(y,z,y)) * u = a(y,z,y) * (x * u). [para(7980(a,1),8872(a,1,1))]. 8885 L(x,y,R(x,z,u)) = L(x,y,L(x,w,v5)). [hyper(189,a,8021,a(flip),b,8879,a)]. 8887 L(x,y,L(x,z,u)) = L(x,y,x). [para(272(a,1),8885(a,1,3)),flip(a)]. 8888 L(L(x,y,z),u,L(x,w,v5)) = L(L(x,u,x),y,z). [para(8887(a,1),48(a,1,1)),flip(a)]. 8889 (x * a(y,z,y)) * u = (x * u) * a(y,z,y). [hyper(189,a,7980,a(flip),b,8884,a)]. 8892 (L(x,y,z) \ L(L(x,u,x),y,z)) \ w = w * a(L(x,y,z),u,L(x,y,z)). [para(8888(a,1),8000(a,1,1,2))]. 8893 (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) = a(u,L(z * K(x * y,z),y,x),u). [hyper(189,a,8039,a(flip),b,8882,a(flip)),flip(a)]. 8894 x * a(L(y,z,u),w,L(y,z,u)) = (a(y,w,L(y,z,u)) \ 1) \ x. [para(8272(a,1),8892(a,1,1)),flip(a)]. 8895 a(L(x,y,z),u,L(x,y,z)) = a(x,u,L(x,y,z)). [hyper(74,a,8810,a(flip),b,8894,a)]. 8896 L(x,y,z) * a(x,u,L(x,y,z)) = R(L(x,y,z),u,L(x,y,z)). [para(8895(a,1),7948(a,1,2))]. 8897 L(x,y,z) * a(x,u,L(x,y,z)) = L(R(x,u,x),y,z). [hyper(189,a,8751,a(flip),b,8896,a)]. 8898 L(x,y,z) * a(x,u,x) = L(R(x,u,x),y,z). [para(8763(a,1),8897(a,1,2))]. 8899 (x * (y * z)) \ ((x * y) * L(R(z,u,z),y,x)) = L(a(z,u,z),L(z,y,x),x * y). [para(8898(a,1),347(a,1,2,2))]. 8901 (a(x,y,x) * (z * u)) \ (a(x,y,x) * (z * (u * w))) = L(w,u,a(x,y,x) * z). [para(8872(a,1),8883(a,1,2))]. 8902 L(L(x,y,z),z * y,a(u,w,u)) = L(x,y,a(u,w,u) * z). [hyper(646,a,8901,a)]. 8903 L(x,y,a(z,u,z) * w) = L(x,y,w). [hyper(189,a,8874,a(flip),b,8902,a(flip))]. 8905 L(x,y,z * a(u,w,u)) = L(x,y,z). [para(7980(a,1),8903(a,1,3))]. 8906 (x * (y * z)) \ (x * (y * R(z,u,z))) = L(a(z,u,z),L(z,y,x),x * y). [para(102(a,1),8899(a,1,2))]. 8907 L(a(x,y,x),L(x,z,u),u * z) = L(a(x,y,x),z * x,u). [hyper(8338,a,8906,a),flip(a)]. 8908 L(a(x,y,x),z * x,u) = a(x,y,x). [hyper(8793,a,8907,a),flip(a)]. 8909 L(a(x,y,x),z,u) = a(x,y,x). [para(19(a,1),8908(a,1,2))]. 8912 L(a(x,y,x),z,u) = a(x,y,x) * 1. [hyper(189,a,15,a,b,8909,a)]. 8913 (x * y) * a(z,u,z) = x * (y * a(z,u,z)). [para(8909(a,1),102(a,1,2))]. 8914 L(a(x,y,x),z,u) != w | a(x,y,x) = w. [para(8912(a,2),85(a,1)),flip(b)]. 8916 (x * a(y,z,y)) * u = x * (u * a(y,z,y)). [hyper(21,a,8889,a(flip),b,8913,a)]. 8918 (x * a(y,z,y)) * u = x * (a(y,z,y) * u). [para(7980(a,2),8916(a,2,2))]. 8920 L(x,a(y,z,y),u) = x. [hyper(346,a,8918,a)]. 8924 (x * (y * a(z,u,z))) \ ((x * a(z,u,z)) * (y * w)) = L(w,L(y,a(z,u,z),x),x * a(z,u,z)). [para(8920(a,1),7989(a,1,2,2,1))]. 8925 (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) = a(u,(x * (y * z)) / (x * y),u). [para(4490(a,1),8893(a,2,2))]. 8926 L(L(a(x,y,x),y,z),z * y,u) = a(x,(u * (z * y)) / (u * z),x). [hyper(7957,a,8925,a)]. 8927 L(a(x,y,x),z * y,u) = a(x,(u * (z * y)) / (u * z),x). [para(8909(a,1),8926(a,1,1))]. 8928 L(a(x,y,x),z * y,u) = a(x,(u * z) \ (u * (z * y)),x). [hyper(189,a,8668,a(flip),b,8927,a)]. 8930 L(a(x,y,x),z * y,u) = a(x,L(y,z,u),x). [para(31(a,2),8928(a,2,2))]. 8931 a(x,L(y,z,u),x) = a(x,y,x). [hyper(8914,a,8930,a),flip(a)]. 8933 R(x,L(y,z,u),x) = x * a(x,y,x). [para(8931(a,1),7948(a,1,2)),flip(a)]. 8934 R(x,L(y,z,u),x) = R(x,y,x). [hyper(189,a,7948,a(flip),b,8933,a)]. 8935 R(x,(y \ z) \ u,x) = R(x,z \ (y * u),x). [para(359(a,1),8934(a,1,2)),flip(a)]. 8936 R(x \ y,y \ (x * x),x \ y) = ((y / x) \ x) \ x. [hyper(189,a,6907,a(flip),b,8935,a(flip))]. 8937 R(x \ y,y \ (x * x),x \ y) = (y \ x) \ 1. [hyper(189,a,4279,a(flip),b,8936,a)]. 8938 (x * (y * a(z,u,z))) \ (x * (a(z,u,z) * (y * w))) = L(w,L(y,a(z,u,z),x),x * a(z,u,z)). [para(8918(a,1),8924(a,1,2))]. 8939 L(x,L(y,a(z,u,z),w),w * a(z,u,z)) = L(x,a(z,u,z) * y,w). [hyper(189,a,8875,a(flip),b,8938,a(flip))]. 8940 L(x,a(y,z,y) * u,w) = L(x,u,w * a(y,z,y)). [para(8920(a,1),8939(a,1,2)),flip(a)]. 8941 L(x,a(y,z,y) * u,w) = L(x,u,w). [hyper(189,a,8905,a(flip),b,8940,a)]. 8943 L(x,R(y,z,y),u) = L(x,y,u). [para(7950(a,1),8941(a,1,2))]. 8946 L(x,(y \ z) \ 1,u) = L(x,z \ y,u). [para(8937(a,1),8943(a,1,2))]. 8947 L(x,(y * z) \ y,u) = L(x,z \ 1,u). [para(16(a,1),8946(a,1,2,1)),flip(a)]. 8948 L(x,L(y \ 1,y,z),u) = L(x,y \ 1,u). [para(140(a,2),8947(a,1,2))]. 8949 L(x,y \ 1,y * y) = x. [hyper(189,a,1916,a(flip),b,8948,a(flip))]. 8950 (x * (x * (x \ 1))) \ ((x * x) * y) = L((1 / x) \ y,x \ 1,x * x). [hyper(189,a,1891,a(flip),b,8948,a(flip)),flip(a)]. 8953 L((1 / x) \ y,x \ 1,x * x) = x \ ((x * x) * y). [para(62(a,1),8950(a,1,1)),flip(a)]. 8954 x \ ((x * x) * y) = (1 / x) \ y. [hyper(189,a,8949,a(flip),b,8953,a(flip))]. 8955 (1 / x) \ L(y,x,x) = x * y. [hyper(356,a,8954,a),flip(a)]. 8957 L(x,y,y \ 1) = L(x,y,y). [hyper(2389,a,8955,a),flip(a)]. 8958 (1 / x) * (x * y) = L(y,x,x). [para(8955(a,1),17(a,1,2))]. 8959 (x \ 1) \ (x \ y) = L(y,x,x). [hyper(7397,a,8957,a)]. 8960 T(x * y,x) / x = L(y,x,x). [hyper(4281,a,8957,a)]. 8961 T(T(x,y) * y,x) = x * L(y,x,x). [para(8958(a,1),4698(a,2,2))]. 8962 L((x \ 1) \ y,x \ 1,x * L(z,x,x)) = ((x * z) / x) \ (T(T(x,z) * z,x) * y). [para(8958(a,1),5834(a,1,3,2))]. 8963 (x * y) * (y \ 1) = L(x,y,y). [hyper(660,a,8959,a)]. 8964 x * a(y,x,y) = L(x,y,y). [hyper(189,a,7944,a(flip),b,8960,a(flip)),flip(a)]. 8965 a(x,y,x) * y = L(y,x,x). [hyper(7993,a,8964,a)]. 8966 L(x,L(y,z,z),u) = L(x,y,u). [para(8965(a,1),8941(a,1,2))]. 8967 L(x / y,y,y) = x * (y \ 1). [hyper(252,a,8963,a),flip(a)]. 8968 x * L(y,x,x) = (1 / x) \ y. [para(8963(a,1),852(a,1,2))]. 8971 L(x,y * (z \ 1),u) = L(x,y / z,u). [para(8967(a,1),8966(a,1,2))]. 8972 T(T(x,y) * y,x) = (1 / x) \ y. [hyper(189,a,8968,a(flip),b,8961,a)]. 8973 L(x,y * (z \ 1),z) = L(x,z \ y,z). [hyper(189,a,8433,a(flip),b,8971,a)]. 8975 ((x * y) / x) * L(z,x \ y,x) = x * ((y * (x \ 1)) * z). [para(8973(a,1),4274(a,1,2))]. 8976 ((x * y) / x) \ (T(T(x,y) * y,x) * z) = L((x \ 1) \ z,x \ 1,(1 / x) \ y). [para(8968(a,1),8962(a,1,3)),flip(a)]. 8977 L((x \ 1) \ y,x \ 1,(1 / x) \ z) = ((x * z) / x) \ (((1 / x) \ z) * y). [para(8972(a,1),8976(a,1,2,1)),flip(a)]. 8978 ((x * y) / x) \ (((1 / x) \ y) * z) = L((x \ 1) \ z,x \ y,x). [hyper(189,a,8440,a(flip),b,8977,a(flip))]. 8979 ((x * y) / x) * L((x \ 1) \ z,x \ y,x) != u | ((1 / x) \ y) * z = u. [para(8978(a,1),203(a,1,2)),flip(b)]. 8980 x * ((y * (x \ 1)) * ((x \ 1) \ z)) = ((1 / x) \ y) * z. [hyper(8979,a,8975,a),flip(a)]. 8981 x * ((y * (z / x)) * x) = ((1 / x) \ y) * z. [para(491(a,1),8980(a,1,2))]. 8982 x \ (((1 / x) \ y) * z) = (y * (z / x)) * x. [hyper(80,a,8981,a)]. 8985 (x * (y / (z \ 1))) * (z \ 1) = (z \ 1) \ ((z \ x) * y). [para(67(a,1),8982(a,1,2,1,1)),flip(a)]. 8986 (x * T(y * z,y)) * (y \ 1) = (y \ 1) \ ((y \ x) * z). [para(4227(a,2),8985(a,1,1,2))]. 8987 (x * ((x \ y) * z)) * x = y * T(x * z,x). [hyper(21,a,655,a,b,8986,a),flip(a)]. 8988 (x * y) * T(x * z,x) = (x * (y * z)) * x. [para(16(a,1),8987(a,1,1,2,1)),flip(a)]. 8989 (x * y) * (z / (x \ 1)) = (x * (y * z)) * x. [para(4227(a,1),8988(a,1,2))]. 8990 $F # answer("Osborn 2"). [resolve(8989,a,54,a)]. ============================== end of proof ========================== % Disable descendants (x means already disabled): 53x 54 given #8113 (H,wt=17): 8989 (x * y) * (z / (x \ 1)) = (x * (y * z)) * x. [para(4227(a,1),8988(a,1,2))]. given #8114 (H,wt=21): 8991 ((1 / x) * (y * z)) * (1 / x) = ((1 / x) * y) * (z / x). [para(69(a,1),8989(a,1,2,2)),flip(a)]. given #8115 (H,wt=19): 8992 ((1 / x) * y) * (z / x) = (1 / x) * ((y * z) / x). [hyper(189,a,4256,a(flip),b,8991,a(flip))]. given #8116 (H,wt=19): 8993 (1 / x) * ((y * (z * x)) / x) = ((1 / x) * y) * z. [para(18(a,1),8992(a,1,2)),flip(a)]. -------- Proof 3 -------- "Osborn 3". ============================== PROOF ================================= % Proof 3 at 536.54 (+ 21.92) seconds: "Osborn 3". % Length of proof is 7731. % Level of proof is 539. % Maximum clause weight is 57.000. % Given clauses 8116 (15.058 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 (1 / x) \ (((1 / x) * y) * z) = (y * (z * x)) / x # label("Osborn 3") # label(non_clause) # label(goal). [goal]. 14 1 * x = x. [assumption]. 15 x * 1 = x. [assumption]. 16 x \ (x * y) = y. [assumption]. 17 x * (x \ y) = y. [assumption]. 18 (x * y) / y = x. [assumption]. 19 (x / y) * y = x. [assumption]. 20 x * y != z | x * u != z | u = y. [clausify(1)]. 21 x * y != z | u * y != z | u = x. [clausify(2)]. 22 x * y != x * z | y = z. [clausify(3)]. 23 x * y != z * y | x = z. [clausify(4)]. 24 x != y | z * x = z * y. [assumption]. 25 x != y | x * z = y * z. [assumption]. 26 (x * (y * z)) \ ((x * y) * z) = a(x,y,z) # label("associator"). [assumption]. 27 a(x,y,z) = (x * (y * z)) \ ((x * y) * z). [copy(26),flip(a)]. 28 (x * y) \ (y * x) = K(y,x) # label("commutator"). [assumption]. 29 K(x,y) = (y * x) \ (x * y). [copy(28),flip(a)]. 30 (x * y) \ (x * (y * z)) = L(z,y,x). [assumption]. 31 L(x,y,z) = (z * y) \ (z * (y * x)). [copy(30),flip(a)]. 32 ((x * y) * z) / (y * z) = R(x,y,z). [assumption]. 33 R(x,y,z) = ((x * y) * z) / (y * z). [copy(32),flip(a)]. 34 x \ (y * x) = T(y,x). [assumption]. 35 T(x,y) = y \ (x * y). [copy(34),flip(a)]. 36 a(x,y,z) != 1 | L(z,y,x) = z. [clausify(5)]. 37 L(x,y,z) != x | a(z,y,x) = 1. [clausify(6)]. 38 T(x,y) != x | T(y,x) = y. [clausify(7)]. 39 T(x,y) != x | K(x,y) = 1. [clausify(8)]. 40 K(x,y) != 1 | T(x,y) = x. [clausify(9)]. 41 T(T(x,y),z) = T(T(x,z),y). [assumption]. 42 T(L(x,y,z),u) = L(T(x,u),y,z). [assumption]. 43 L(T(x,y),z,u) = T(L(x,z,u),y). [copy(42),flip(a)]. 44 T(R(x,y,z),u) = R(T(x,u),y,z). [assumption]. 45 R(T(x,y),z,u) = T(R(x,z,u),y). [copy(44),flip(a)]. 46 L(R(x,y,z),u,w) = R(L(x,u,w),y,z). [assumption]. 47 R(L(x,y,z),u,w) = L(R(x,u,w),y,z). [copy(46),flip(a)]. 48 L(L(x,y,z),u,w) = L(L(x,u,w),y,z). [assumption]. 49 R(R(x,y,z),u,w) = R(R(x,u,w),y,z). [assumption]. 50 (x * (y * x)) * ((1 / x) * z) = x * (y * z) # label("gen left Bol"). [assumption]. 51 (x * (y \ 1)) * ((y * z) * y) = (x * z) * y # label("gen right Bol"). [assumption]. 55 (1 / c7) \ (((1 / c7) * c8) * c9) != (c8 * (c9 * c7)) / c7 # label("Osborn 3") # answer("Osborn 3"). [deny(12)]. 58 1 \ x = x. [para(14(a,1),16(a,1,2))]. 59 x \ x = 1. [para(15(a,1),16(a,1,2))]. 60 x \ (x * (y \ (y * z))) = z. [para(16(a,2),16(a,1))]. 61 (x * (x \ 1)) * y = y. [para(17(a,2),14(a,1,1))]. 62 x * (y * (y \ 1)) = x. [para(17(a,2),15(a,1,2))]. 63 x * (y * (y \ (x \ z))) = z. [para(17(a,2),17(a,1,2))]. 64 x / x = 1. [para(14(a,1),18(a,1,1))]. 66 x * (((x \ y) * z) / z) = y. [para(18(a,2),17(a,1,2))]. 67 x / (y \ x) = y. [para(17(a,1),18(a,1,1))]. 68 ((1 / x) * x) * y = y. [para(19(a,2),14(a,1,1))]. 69 (x / y) \ x = y. [para(19(a,1),16(a,1,2))]. 70 (x \ (x * (y / z))) * z = y. [para(16(a,2),19(a,1,1))]. 71 ((x * (x \ y)) / z) * z = y. [para(19(a,2),17(a,1))]. 72 (((x * y) / z) * z) / y = x. [para(19(a,2),18(a,1,1))]. 73 (((x / y) / z) * z) * y = x. [para(19(a,2),19(a,1,1))]. 74 x != y | 1 * z != y | z = x. [para(14(a,1),20(a,1))]. 75 x != y | z * u != y | z \ x = u. [para(17(a,1),20(a,1)),flip(c)]. 76 x != y | z * u != y | x / u = z. [para(19(a,1),21(a,1)),flip(c)]. 77 1 * x != y | y = x. [para(14(a,1),22(a,1)),flip(a)]. 78 (x * y) * 1 != x * z | z = y. [para(15(a,2),22(a,2)),flip(a)]. 80 x * y != z | x \ z = y. [para(17(a,1),22(a,1)),flip(a)]. 81 x * (x \ (y * z)) != y * u | u = z. [para(17(a,2),22(a,2)),flip(a)]. 82 (x / y) * z != x | z = y. [para(19(a,1),22(a,2))]. 85 x * 1 != y | y = x. [para(15(a,1),23(a,1)),flip(a)]. 86 x * 1 != y | x = y. [para(15(a,1),23(a,2))]. 87 x * (y \ z) != z | x = y. [para(17(a,1),23(a,2))]. 88 x * y != z | z / y = x. [para(19(a,1),23(a,1)),flip(a)]. 89 x * (y * (y \ z)) = x * z. [hyper(24,a,17,a)]. 90 ((x / y) * y) * z = x * z. [hyper(25,a,19,a)]. 91 (x * (x \ y)) * z = y * z. [hyper(25,a,17,a)]. 92 (x * (y * z)) * a(x,y,z) = (x * y) * z. [para(27(a,2),17(a,1,2))]. 93 (x * ((x \ y) * z)) \ (y * z) = a(x,x \ y,z). [para(17(a,1),27(a,2,2,1)),flip(a)]. 94 (x * y) \ ((x * (y / z)) * z) = a(x,y / z,z). [para(19(a,1),27(a,2,1,2)),flip(a)]. 95 (x * y) * K(y,x) = y * x. [para(29(a,2),17(a,1,2))]. 96 x \ ((y \ x) * y) = K(y \ x,y). [para(17(a,1),29(a,2,1)),flip(a)]. 97 ((x \ y) * x) \ y = K(x,x \ y). [para(17(a,1),29(a,2,2)),flip(a)]. 98 x \ (y * (x / y)) = K(y,x / y). [para(19(a,1),29(a,2,1)),flip(a)]. 99 (x * (y / x)) \ y = K(y / x,x). [para(19(a,1),29(a,2,2)),flip(a)]. 100 (x * 1) \ (x * y) = L(y,1,x). [para(14(a,1),31(a,2,2,2)),flip(a)]. 101 (x * y) \ (x * y) = L(1,y,x). [para(15(a,1),31(a,2,2,2)),flip(a)]. 102 (x * y) * L(z,y,x) = x * (y * z). [para(31(a,2),17(a,1,2))]. 103 x \ (y * ((y \ x) * z)) = L(z,y \ x,y). [para(17(a,1),31(a,2,1)),flip(a)]. 104 L(x \ y,x,z) = (z * x) \ (z * y). [para(17(a,1),31(a,2,2,2))]. 105 L(x,y / x,z) = (z * (y / x)) \ (z * y). [para(19(a,1),31(a,2,2,2))]. 106 (x * y) / (x * y) = R(1,x,y). [para(14(a,1),33(a,2,1,1)),flip(a)]. 107 ((x * 1) * y) / y = R(x,1,y). [para(14(a,1),33(a,2,2)),flip(a)]. 108 R(x,x \ y,z) = (y * z) / ((x \ y) * z). [para(17(a,1),33(a,2,1,1))]. 109 R(x,y,(x * y) \ z) = z / (y * ((x * y) \ z)). [para(17(a,1),33(a,2,1))]. 110 R(x,y,z) * (y * z) = (x * y) * z. [para(33(a,2),19(a,1,1))]. 111 R(x / y,y,z) = (x * z) / (y * z). [para(19(a,1),33(a,2,1,1))]. 112 T(x,x) = x. [para(35(a,2),16(a,1))]. 113 x * T(y,x) = y * x. [para(35(a,2),17(a,1,2))]. 114 T(x,x \ y) = (x \ y) \ y. [para(17(a,1),35(a,2,2))]. 115 T(x / y,y) = y \ x. [para(19(a,1),35(a,2,2))]. 116 T(T(R(x,y,z),u),w) = T(R(T(x,w),y,z),u). [para(45(a,2),41(a,1,1)),flip(a)]. 117 (x * (y * x)) * (1 / x) = x * (y * 1). [para(15(a,1),50(a,1,2))]. 118 (x * y) * ((1 / x) * z) = x * ((y / x) * z). [para(19(a,1),50(a,1,1,2))]. 119 (x \ 1) * ((x * y) * x) = (1 * y) * x. [para(14(a,1),51(a,1,1))]. 120 (x * (y \ 1)) * (z * y) = (x * (y \ z)) * y. [para(17(a,1),51(a,1,2,1))]. 121 (x * (x \ 1)) \ y = y. [para(17(a,2),58(a,1,1))]. 122 ((1 / x) * x) \ y = y. [para(19(a,2),58(a,1,1))]. 123 K(x,x) = 1. [para(59(a,1),29(a,2))]. 124 T(T(x,y),x) = T(x,y). [para(112(a,1),41(a,1,1)),flip(a)]. 125 T(L(x,y,z),x) = L(x,y,z). [para(112(a,1),43(a,1,1)),flip(a)]. 126 (x / (y \ x)) * z = y * z. [hyper(25,a,67,a)]. 127 (x * y) / K(x,y) = y * x. [para(29(a,2),67(a,1,2))]. 128 (x * (y * z)) / L(z,y,x) = x * y. [para(31(a,2),67(a,1,2))]. 129 (x * y) / T(x,y) = y. [para(35(a,2),67(a,1,2))]. 130 x / (y / ((z \ x) \ y)) = z. [para(67(a,2),67(a,1,2))]. 131 ((x / y) \ x) * z = y * z. [hyper(25,a,69,a)]. 132 x * ((y / (x \ z)) \ y) = z. [para(69(a,2),17(a,1,2))]. 133 R(x,y,z) \ ((x * y) * z) = y * z. [para(33(a,2),69(a,1,1))]. 134 ((x / (y / z)) \ x) \ y = z. [para(69(a,2),69(a,1,1))]. 135 (x * (x \ 1)) * y != z | z = y. [para(17(a,2),77(a,1,1))]. 136 ((1 / x) * x) * y != z | z = y. [para(19(a,2),77(a,1,1))]. 137 x * (y * (y \ 1)) != z | x = z. [para(17(a,2),86(a,1,2))]. 138 x * (y \ y) != z | x = z. [para(59(a,2),86(a,1,2))]. 139 R(x,x \ 1,y) = y / ((x \ 1) * y). [para(61(a,1),33(a,2,1))]. 140 L(x \ 1,x,y) = (y * x) \ y. [para(62(a,1),31(a,2,2))]. 141 R(1 / x,x,y) = y / (x * y). [para(68(a,1),33(a,2,1))]. 142 T((x * y) / x,x) = y. [hyper(20,a,19,a(flip),b,113,a)]. 143 (x * T(y,x)) / x = y. [hyper(21,a,19,a,b,113,a(flip)),flip(a)]. 144 x \ (y * T(x,y)) = y. [hyper(20,a,17,a,b,113,a(flip)),flip(a)]. 145 (x \ y) * T(x,x \ y) = y. [para(113(a,2),17(a,1))]. 146 x * T(y / x,x) = y. [para(113(a,2),19(a,1))]. 147 x * y != z | y * u != z | T(x,y) = u. [para(113(a,1),20(a,1)),flip(c)]. 148 x * y != z * x | T(z,x) = y. [para(113(a,1),22(a,1)),flip(a)]. 149 x * T(y,x) != z * x | z = y. [para(113(a,2),23(a,2)),flip(a)]. 150 (x * (T(y,x) * z)) \ ((y * x) * z) = a(x,T(y,x),z). [para(113(a,1),27(a,2,2,1)),flip(a)]. 151 (x * (y * T(z,x * y))) \ (z * (x * y)) = a(x,y,T(z,x * y)). [para(113(a,1),27(a,2,2)),flip(a)]. 152 (x * y) \ (T(x,y) * y) = K(T(x,y),y). [para(113(a,1),29(a,2,1)),flip(a)]. 153 (x * y) \ (y * (T(x,y) * z)) = L(z,T(x,y),y). [para(113(a,1),31(a,2,1)),flip(a)]. 154 (x * y) \ (x * (z * y)) = L(T(z,y),y,x). [para(113(a,1),31(a,2,2,2)),flip(a)]. 155 (x * (y * z)) / (z * T(x,y * z)) = R(y,z,T(x,y * z)). [para(113(a,1),33(a,2,1)),flip(a)]. 156 ((x * y) * T(z,y)) / (z * y) = R(x,y,T(z,y)). [para(113(a,1),33(a,2,2)),flip(a)]. 157 T(x,y) \ (x * y) = T(y,T(x,y)). [para(113(a,1),35(a,2,2)),flip(a)]. 158 x * T(T(y,x),z) = T(y,z) * x. [para(41(a,1),113(a,1,2))]. 159 x * L(T(y,x),z,u) = L(y,z,u) * x. [para(43(a,2),113(a,1,2))]. 160 x * R(T(y,x),z,u) = R(y,z,u) * x. [para(45(a,2),113(a,1,2))]. 161 T(T(x / y,z),y) = T(y \ x,z). [para(115(a,1),41(a,1,1)),flip(a)]. 162 T(L(x / y,z,u),y) = L(y \ x,z,u). [para(115(a,1),43(a,1,1)),flip(a)]. 163 T(R(x / y,z,u),y) = R(y \ x,z,u). [para(115(a,1),45(a,1,1)),flip(a)]. 164 T(x / (x / y),x / y) = y. [para(115(a,2),69(a,1))]. 165 K(x \ 1,x) = (x \ 1) * x. [para(121(a,1),29(a,2))]. 166 x * ((x \ 1) * y) = L(y,x \ 1,x). [para(121(a,1),31(a,2)),flip(a)]. 167 ((1 / (x * y)) * x) * y = a(1 / (x * y),x,y). [para(122(a,1),27(a,2)),flip(a)]. 168 K(x,1 / x) = x * (1 / x). [para(122(a,1),29(a,2))]. 169 (1 / x) * (x * y) = L(y,x,1 / x). [para(122(a,1),31(a,2)),flip(a)]. 170 K(T(x,y),x) = 1. [hyper(39,a,124,a)]. 171 T(x,T(x,y)) = x. [hyper(38,a,124,a)]. 172 T(T(T(x,y),z),x) = T(T(x,y),z). [para(124(a,1),41(a,1,1)),flip(a)]. 173 T(x,y) * x = x * T(x,y). [para(124(a,1),113(a,1,2)),flip(a)]. 174 x / T(y,y \ x) = y \ x. [para(17(a,1),129(a,1,1))]. 175 (R(x,y,z) * u) / R(T(x,u),y,z) = u. [para(45(a,2),129(a,1,2))]. 176 T(T((x * y) / x,z),x) = T(y,z). [para(142(a,1),41(a,1,1)),flip(a)]. 177 K(x,(y * x) / y) = 1. [para(142(a,1),170(a,1,1))]. 178 (x * T(T(y,x),z)) / x = T(y,z). [para(41(a,1),143(a,1,1,2))]. 179 L(x,y,z) \ (u * L(T(x,u),y,z)) = u. [para(43(a,2),144(a,1,2,2))]. 180 T(x,(y * x) / y) = x. [hyper(40,a,177,a)]. 181 x \ x != y | 1 = y. [para(14(a,1),138(a,1))]. 183 L(x \ (y \ z),x,y) = (y * x) \ z. [para(63(a,1),31(a,2,2))]. 184 ((x * (x \ y)) / z) \ y = z. [hyper(80,a,71,a)]. 185 ((x / y) * y) / z = x / z. [para(19(a,1),72(a,1,1,1,1))]. 187 R((x / y) / z,z,y) = x / (z * y). [para(73(a,1),33(a,2,1))]. 188 T(x,1) = x. [hyper(74,a,15,a(flip),b,113,a)]. 189 x != y | z != y | z = x. [para(14(a,1),74(b,1))]. 190 K(x,1) = 1. [hyper(39,a,188,a)]. 191 T(1,x) = 1. [hyper(38,a,188,a)]. 193 (x / y) \ x = z * (z \ y). [hyper(189,a,69,a,b,17,a),flip(a)]. 194 x / (y \ x) = z * (z \ y). [hyper(189,a,67,a,b,17,a),flip(a)]. 195 (x * y) / y = (x / z) * z. [hyper(189,a,19,a,b,18,a)]. 196 (x / y) * y = x * 1. [hyper(189,a,19,a,b,15,a),flip(a)]. 197 x \ (x * y) = z * (z \ y). [hyper(189,a,17,a,b,16,a)]. 198 x * (x \ y) = y * 1. [hyper(189,a,17,a,b,15,a),flip(a)]. 199 x * 1 != y * z | x / z = y. [para(196(a,1),23(a,1))]. 200 (x / y) * y != z | z = x. [para(196(a,2),85(a,1))]. 201 x \ (y * (y \ x)) = 1. [hyper(80,a,198,a(flip))]. 202 x * 1 != y * z | y \ x = z. [para(198(a,1),22(a,1))]. 203 x * (x \ y) != z | z = y. [para(198(a,2),85(a,1))]. 204 R(x,y,z) * (y * z) != u | (x * y) * z = u. [para(33(a,2),200(a,1,1)),flip(b)]. 205 x * T(y,x) != z | y * x = z. [para(129(a,1),200(a,1,1)),flip(b)]. 206 x * y != z | y * T(x,y) = z. [para(143(a,1),200(a,1,1)),flip(b)]. 207 (x * y) * L(z,y,x) != u | x * (y * z) = u. [para(31(a,2),203(a,1,2)),flip(b)]. 208 (x * (x \ 1)) \ y != z | z = y. [para(61(a,1),203(a,1))]. 209 ((1 / x) * x) \ y != z | z = y. [para(68(a,1),203(a,1))]. 210 (x / (y * (y \ z))) * z = x. [hyper(200,a,89,a)]. 211 x * (x \ (y * z)) = y * (u * (u \ z)). [hyper(189,a,17,a,b,89,a),flip(a)]. 212 (x * (x \ y)) * z != y * u | z = u. [para(91(a,1),22(a,2))]. 213 x * K(y \ x,y) = (y \ x) * y. [hyper(189,a,91,a(flip),b,95,a(flip)),flip(a)]. 214 x * K(y,x / y) = y * (x / y). [hyper(189,a,90,a(flip),b,95,a(flip)),flip(a)]. 215 (x * y) * z != y * x | K(y,x) = z. [para(95(a,1),22(a,1)),flip(a)]. 217 (x * (y * z)) \ (x * (z * y)) = L(K(z,y),y * z,x). [para(95(a,1),31(a,2,2,2)),flip(a)]. 218 (x * y) / (x * K(x,y)) = R(y,x,K(x,y)). [para(95(a,1),33(a,2,1)),flip(a)]. 219 T(x,x \ y) * z = ((x \ y) \ y) * z. [hyper(25,a,114,a)]. 220 x * T(y,y \ z) = x * ((y \ z) \ z). [hyper(24,a,114,a)]. 221 T(T(x,y),x \ z) = T((x \ z) \ z,y). [para(114(a,1),41(a,1,1)),flip(a)]. 222 x / K(y,y \ x) = (y \ x) * y. [para(17(a,1),127(a,1,1))]. 223 x * (((y / x) \ y) \ z) = z. [hyper(203,a,131,a)]. 224 ((x / y) \ x) * (y \ z) = z. [hyper(189,a,17,a(flip),b,131,a)]. 225 ((x / y) \ x) * z != u | y \ u = z. [para(131(a,2),80(a,1))]. 226 (x / y) * ((z / y) \ z) = x. [para(69(a,1),132(a,1,2,1,2))]. 227 (x \ y) * z != y | T(x,x \ y) = z. [para(145(a,1),22(a,1)),flip(a)]. 228 T(x / (x / y),(z / (x / y)) \ z) = y. [para(69(a,2),164(a,1,2))]. 229 x * T(x \ 1,x) = K(x \ 1,x). [hyper(189,a,113,a,b,165,a),flip(a)]. 231 K(x,1 / x) \ (x * ((1 / x) * y)) = L(y,1 / x,x). [para(168(a,2),31(a,2,1)),flip(a)]. 233 x / R(T(y,R(y,z,u) \ x),z,u) = R(y,z,u) \ x. [para(45(a,2),174(a,1,2))]. 234 x / (y \ ((x / z) * z)) = y. [hyper(189,a,67,a(flip),b,185,a(flip))]. 236 (x / y) \ x != z | z = y. [para(193(a,2),203(a,1))]. 237 x \ (x * y) != z | z = y. [para(18(a,1),236(a,1,1))]. 238 x \ (y * x) != z | T(y,x) = z. [para(129(a,1),236(a,1,1)),flip(b)]. 240 (x * y) \ (y * x) != z | K(y,x) = z. [para(127(a,1),236(a,1,1)),flip(b)]. 242 T((x * y) / x,x) != z | z = y. [para(115(a,2),237(a,1))]. 244 x / (y \ x) != z * u | z \ y = u. [para(194(a,2),22(a,1))]. 245 (x * (x \ y)) \ z = y \ z. [para(194(a,1),69(a,1,1))]. 246 x / (y \ x) != z | z = y. [para(194(a,2),203(a,1))]. 247 (x * (x \ y)) \ z != u | y \ z = u. [para(194(a,1),236(a,1,1)),flip(b)]. 248 (x * y) / y != z | z = x. [para(16(a,1),246(a,1,2))]. 249 x / x != y | 1 = y. [para(58(a,1),246(a,1,2)),flip(b)]. 250 (x * T(y,x)) / x != z | z = y. [para(144(a,1),246(a,1,2))]. 251 (x * y) / y != z * u | x / u = z. [para(195(a,2),23(a,1))]. 252 ((x / y) * y) * z != u | x * z = u. [para(195(a,1),200(a,1,1)),flip(b)]. 253 x \ (x * y) != z * u | z \ y = u. [para(197(a,2),22(a,1))]. 254 x * (y * (y \ z)) != u | x * z = u. [para(197(a,1),203(a,1,2)),flip(b)]. 255 R(x,y,y \ z) * z = (x * y) * (y \ z). [para(33(a,2),210(a,1,1))]. 256 ((x \ y) \ y) * (T(x,x \ y) \ z) = z. [para(174(a,1),224(a,1,1,1))]. 257 x * ((y / z) \ y) != u | u / z = x. [para(226(a,1),23(a,1)),flip(a)]. 258 (x / T(y,y \ z)) * ((y \ z) \ z) = x. [para(174(a,1),226(a,1,2,1))]. 260 x * y != x * z | z = y. [para(15(a,1),78(a,1))]. 261 x \ (x * y) = L(y,1,x). [para(15(a,1),100(a,1,1))]. 262 L(x,1,y) = x. [hyper(237,a,261,a)]. 265 L(1,x,y) = 1. [hyper(181,a,101,a),flip(a)]. 268 R(1,x,y) = 1. [hyper(249,a,106,a),flip(a)]. 271 (x * y) / y = R(x,1,y). [para(15(a,1),107(a,1,1,1))]. 272 R(x,1,y) = x. [hyper(248,a,271,a)]. 273 R(x,1,y) != z | z = x. [para(271(a,1),248(a,1))]. 276 L((x \ y) \ 1,x \ y,x) = y \ x. [hyper(189,a,245,a(flip),b,140,a)]. 277 L(x \ 1,x,1 / x) = 1 / x. [hyper(189,a,122,a(flip),b,140,a)]. 278 (x * y) * L(y \ 1,y,x) = x. [para(140(a,2),17(a,1,2))]. 279 L(x \ 1,x,y / x) = y \ (y / x). [para(19(a,1),140(a,2,1))]. 280 T((x * y) \ x,z) = L(T(y \ 1,z),y,x). [para(140(a,1),43(a,2,1)),flip(a)]. 281 R((x * y) \ x,z,u) = L(R(y \ 1,z,u),y,x). [para(140(a,1),47(a,1,1))]. 282 L(L(x \ 1,y,z),x,u) = L((u * x) \ u,y,z). [para(140(a,1),48(a,1,1)),flip(a)]. 283 x / L(y \ 1,y,x) = x * y. [para(140(a,2),67(a,1,2))]. 284 L(x,1 / x,y) = (y * (1 / x)) \ y. [para(69(a,1),140(a,1,1))]. 285 R(1 / x,x,y) * z = (y / (x * y)) * z. [hyper(25,a,141,a)]. 286 R(1 / x,x,x \ y) = (x \ y) / y. [para(17(a,1),141(a,2,2))]. 287 R(1 / (x / y),x / y,y) = y / x. [para(19(a,1),141(a,2,2))]. 288 T(x / (y * x),z) = R(T(1 / y,z),y,x). [para(141(a,1),45(a,2,1)),flip(a)]. 289 R(R(1 / x,y,z),x,u) = R(u / (x * u),y,z). [para(141(a,1),49(a,1,1)),flip(a)]. 290 R(1 / x,x,y) \ y = x * y. [para(141(a,2),69(a,1,1))]. 291 x \ (x * (y * z)) != z * u | T(y,z) = u. [para(16(a,2),148(a,2)),flip(a)]. 292 T(x,y) * z != x * y | T(y,T(x,y)) = z. [para(113(a,1),148(a,2))]. 294 (x * y) * K(y,x) != x * z | T(y,x) = z. [para(95(a,2),148(a,2)),flip(a)]. 297 (x / y) * y != z * u | x / u = z. [para(196(a,2),199(a,1))]. 298 x * (x \ y) != z * u | y / u = z. [para(198(a,2),199(a,1))]. 299 x * (y * (y \ 1)) != z * u | z \ x = u. [para(17(a,2),202(a,1,2))]. 300 (x / y) * y != z * u | z \ x = u. [para(196(a,2),202(a,1))]. 301 x * (x \ y) != z * u | z \ y = u. [para(198(a,2),202(a,1))]. 302 x * T(T(y,x),z) != u | T(y,z) * x = u. [para(41(a,1),205(a,1,2))]. 303 x * L(T(y,x),z,u) != w | L(y,z,u) * x = w. [para(43(a,2),205(a,1,2))]. 304 x * R(T(y,x),z,u) != w | R(y,z,u) * x = w. [para(45(a,2),205(a,1,2))]. 305 K(x,1 / x) != y | x * (1 / x) = y. [para(29(a,2),209(a,1)),flip(b)]. 306 L(x,y,1 / y) != z | (1 / y) * (y * x) = z. [para(31(a,2),209(a,1)),flip(b)]. 307 T(x / y,y) != z | y \ x = z. [para(17(a,1),242(a,1,1,1)),flip(b)]. 308 (x * y) * z != x | L(y \ 1,y,x) = z. [para(278(a,1),22(a,1)),flip(a)]. 309 L(L(x \ 1,x,y),y * x,z) = (z * (y * x)) \ (z * y). [para(278(a,1),31(a,2,2,2))]. 310 (x * y) \ x != z | L(y \ 1,y,x) = z. [para(278(a,1),237(a,1,2)),flip(b)]. 311 x / L(y,1 / y,x) = x * (1 / y). [para(69(a,1),283(a,1,2,1))]. 312 L(x \ 1,x,y) * (((y * x) \ y) \ z) = z. [para(283(a,1),223(a,1,2,1,1))]. 313 R(x,x \ 1,y) \ y = (x \ 1) * y. [para(67(a,1),290(a,1,1,1))]. 314 x / (y * x) != z | R(1 / y,y,x) = z. [para(290(a,1),246(a,1,2)),flip(b)]. 315 T(x,x \ y) != z | (x \ y) \ y = z. [para(67(a,1),307(a,1,1))]. 316 T(x,T(y,x)) != z | T(y,x) \ (y * x) = z. [para(129(a,1),307(a,1,1))]. 317 T(x \ y,T(x,x \ y)) != z | T(x,x \ y) \ y = z. [para(174(a,1),307(a,1,1))]. 318 x \ T(y,y \ z) = x \ ((y \ z) \ z). [hyper(75,a,114,a,b,17,a)]. 319 L(x \ 1,x,y) / ((y * x) \ y) = 1. [hyper(76,a,140,a,b,14,a)]. 320 x \ (y * T(y \ x,y)) = K(y \ x,y). [para(113(a,2),96(a,1,2))]. 321 K(x \ 1,x) \ 1 = K(x,x \ 1). [para(165(a,2),97(a,1,1))]. 322 x * T(x \ (y * x),z) = T(y,z) * x. [para(35(a,1),158(a,1,2,1))]. 323 T(x / y,z) * y = y * T(y \ x,z). [para(115(a,1),158(a,1,2,1)),flip(a)]. 324 T(x,y) * T(x,z) = T(x,z) * T(x,y). [para(171(a,1),158(a,1,2,1))]. 325 T((x * y) / x,z) * x = x * T(y,z). [para(142(a,1),158(a,1,2,1)),flip(a)]. 326 (x \ y) * T((x \ y) \ y,z) = T(x,z) * (x \ y). [para(114(a,1),158(a,1,2,1))]. 327 T(x / (x / y),z) * (x / y) = (x / y) * T(y,z). [para(164(a,1),158(a,1,2,1)),flip(a)]. 328 (x * T(x \ y,z)) / x = T(y / x,z). [para(161(a,1),143(a,1,1,2))]. 329 T(x,T(T(x,y),z)) = x. [hyper(38,a,172,a)]. 330 (x * T(y,z)) / x = T((x * y) / x,z). [para(176(a,1),143(a,1,1,2))]. 331 x * T(y,z) != u * x | T((x * y) / x,z) = u. [para(176(a,1),149(a,1,2)),flip(b)]. 332 (x * T(y,z)) / x != u | T((x * y) / x,z) = u. [para(176(a,1),250(a,1,1,2)),flip(b)]. 333 T(T(x,y),z) != u | T(T(x,z),y) = u. [para(178(a,1),242(a,1,1)),flip(b)]. 334 (x \ y) * x != y * z | K(x \ y,x) = z. [para(213(a,1),22(a,1))]. 335 (x * y) \ (x * ((z \ y) * z)) = L(K(z \ y,z),y,x). [para(213(a,1),31(a,2,2,2)),flip(a)]. 336 x \ ((y \ x) * y) != z | K(y \ x,y) = z. [para(213(a,1),237(a,1,2)),flip(b)]. 338 x \ (y * (x / y)) != z | K(y,x / y) = z. [para(214(a,1),237(a,1,2)),flip(b)]. 339 1 / K(x,x \ 1) = K(x \ 1,x). [hyper(189,a,165,a,b,222,a)]. 340 (x * y) * L(z,y,x) != x * u | y * z = u. [para(31(a,2),81(a,1,2)),flip(b)]. 341 (x * y) / L(z \ y,z,x) = x * z. [hyper(76,a,89,a(flip),b,102,a)]. 342 x \ ((x * y) * L(z,y,x)) = y * z. [hyper(75,a,102,a,b,xx)]. 343 L(x \ (y \ ((y * x) * z)),x,y) = z. [hyper(20,a,63,a(flip),b,102,a)]. 344 x * L(y,z \ x,z) = z * ((z \ x) * y). [hyper(189,a,91,a(flip),b,102,a(flip)),flip(a)]. 345 x * L(y,z,x / z) = (x / z) * (z * y). [hyper(189,a,90,a(flip),b,102,a(flip)),flip(a)]. 346 (x * y) * z != x * (y * u) | L(u,y,x) = z. [para(102(a,1),22(a,1)),flip(a)]. 347 (x * (y * z)) \ ((x * y) * (L(z,y,x) * u)) = L(u,L(z,y,x),x * y). [para(102(a,1),31(a,2,1)),flip(a)]. 348 (x * (y * z)) \ (x * (y * (z * u))) = L(L(u,z,y),y * z,x). [para(102(a,1),31(a,2,2,2)),flip(a)]. 349 (x * (y * z)) / (y * L(z,y,x)) = R(x,y,L(z,y,x)). [para(102(a,1),33(a,2,1)),flip(a)]. 350 (x * y) * T(L(z,y,x),u) = x * (y * T(z,u)). [para(43(a,1),102(a,1,2))]. 351 (x * y) * R(L(z,y,x),u,w) = x * (y * R(z,u,w)). [para(47(a,2),102(a,1,2))]. 352 (x * y) * L(L(z,y,x),u,w) = x * (y * L(z,u,w)). [para(48(a,1),102(a,1,2))]. 353 (x * y) * L(z,T(x,y),y) = y * (T(x,y) * z). [para(113(a,1),102(a,1,1))]. 354 K(x \ 1,x) * L(y,x,x \ 1) = (x \ 1) * (x * y). [para(165(a,2),102(a,1,1))]. 355 (x * y) \ (x * (y * z)) != u | L(z,y,x) = u. [para(102(a,1),237(a,1,2)),flip(b)]. 356 x \ ((x * y) * L(z,y,x)) != u | y * z = u. [para(102(a,2),237(a,1,2)),flip(b)]. 357 x * ((x \ 1) * y) != z | L(y,x \ 1,x) = z. [para(102(a,1),135(a,1)),flip(b)]. 358 (1 / x) * (x * y) != z | L(y,x,1 / x) = z. [para(102(a,1),136(a,1)),flip(b)]. 359 L((x \ y) \ z,x \ y,x) = y \ (x * z). [hyper(189,a,245,a(flip),b,104,a)]. 360 L(x \ T(y * x,y),x,y) = y. [hyper(189,a,144,a(flip),b,104,a)]. 361 L(x \ y,x,1 / x) = (1 / x) * y. [hyper(189,a,122,a(flip),b,104,a)]. 362 L((x \ 1) \ y,x \ 1,x) = x * y. [hyper(189,a,121,a(flip),b,104,a)]. 363 L(x \ ((y * x) / y),x,y) = K(y,(y * x) / y). [hyper(189,a,98,a(flip),b,104,a)]. 364 L(x \ y,x,z / x) = z \ ((z / x) * y). [para(19(a,1),104(a,2,1))]. 365 L(T(x,y) \ z,T(x,y),y) = (x * y) \ (y * z). [para(113(a,1),104(a,2,1))]. 366 L(x \ T(y,z),x,z) = (z * x) \ (y * z). [para(113(a,1),104(a,2,2))]. 367 L((x \ 1) \ y,x \ 1,x) != z | x * y = z. [para(104(a,2),208(a,1)),flip(b)]. 368 L(L(x,y,z) \ u,L(x,y,z),z * y) = (z * (y * x)) \ ((z * y) * u). [para(102(a,1),104(a,2,1))]. 369 (x * y) * (y \ 1) = R(x,y,y \ 1). [hyper(137,a,110,a),flip(a)]. 370 R(x,x \ y,z) \ (y * z) = (x \ y) * z. [hyper(75,a,91,a(flip),b,110,a)]. 371 R(x / y,y,z) \ (x * z) = y * z. [hyper(75,a,90,a(flip),b,110,a)]. 372 R(((x * (y * z)) / z) / y,y,z) = x. [hyper(21,a,73,a(flip),b,110,a)]. 373 R(x,y,y \ 1) / (y \ 1) = x * y. [hyper(76,a,62,a(flip),b,110,a(flip))]. 374 (x * y) \ R(x,y,y \ 1) = y \ 1. [hyper(75,a,62,a(flip),b,110,a(flip))]. 375 R(x,y / z,z) * y = (x * (y / z)) * z. [para(19(a,1),110(a,1,2))]. 376 (x * y) * z != u * (y * z) | R(x,y,z) = u. [para(110(a,1),23(a,1))]. 377 ((x * y) * z) \ ((R(x,y,z) * y) * z) = a(R(x,y,z),y,z). [para(110(a,1),27(a,2,1)),flip(a)]. 378 (((x * y) * z) * u) / ((y * z) * u) = R(R(x,y,z),y * z,u). [para(110(a,1),33(a,2,1,1)),flip(a)]. 379 ((x * R(y,z,u)) * (z * u)) / ((y * z) * u) = R(x,R(y,z,u),z * u). [para(110(a,1),33(a,2,2)),flip(a)]. 380 T(R(x,y,z),u) * (y * z) = (T(x,u) * y) * z. [para(45(a,1),110(a,1,1))]. 381 L(R(x,y,z),u,w) * (y * z) = (L(x,u,w) * y) * z. [para(47(a,1),110(a,1,1))]. 382 R(R(x,y,z),u,w) * (y * z) = (R(x,u,w) * y) * z. [para(49(a,1),110(a,1,1))]. 383 R(x,y,T(z,y)) * (z * y) = (x * y) * T(z,y). [para(113(a,1),110(a,1,2))]. 384 R(x,y * z,K(z,y)) * (z * y) = (x * (y * z)) * K(z,y). [para(95(a,1),110(a,1,2))]. 385 ((x * y) * z) / (y * z) != u | R(x,y,z) = u. [para(110(a,1),248(a,1,1)),flip(b)]. 386 (R(x,y,z) * (y * z)) / z != u | x * y = u. [para(110(a,2),248(a,1,1)),flip(b)]. 387 (x * y) * (y \ 1) != z | R(x,y,y \ 1) = z. [para(110(a,1),137(a,1))]. 389 ((x * y) * z) * L(u,y * z,R(x,y,z)) = R(x,y,z) * ((y * z) * u). [para(110(a,1),102(a,1,1))]. 390 R(x / y,y,x \ z) = z / (y * (x \ z)). [para(17(a,1),111(a,2,1))]. 391 R(x / (y / z),y / z,z) = (x * z) / y. [para(19(a,1),111(a,2,2))]. 392 T((x * y) / (z * y),u) = R(T(x / z,u),z,y). [para(111(a,1),45(a,2,1)),flip(a)]. 393 T(R(x / y,y,z),y * z) = (y * z) \ (x * z). [para(111(a,2),115(a,1,1))]. 394 R(x / T(y,z),T(y,z),y) = (x * y) / (y * T(y,z)). [para(173(a,1),111(a,2,2))]. 395 R(x / y,y,x \ z) \ z = y * (x \ z). [para(111(a,2),184(a,1,1))]. 396 R(R(x,y,z) / u,u,y * z) = ((x * y) * z) / (u * (y * z)). [para(110(a,1),111(a,2,1))]. 397 R(x / R(y,z,u),R(y,z,u),z * u) = (x * (z * u)) / ((y * z) * u). [para(110(a,1),111(a,2,2))]. 398 (x * y) / L(z,y / z,x) = x * (y / z). [para(19(a,1),128(a,1,1,2))]. 399 R(x * y,K(y,x),z) \ ((y * x) * z) = K(y,x) * z. [para(95(a,1),133(a,1,2,1))]. 400 R(x * y,L(z,y,x),u) \ ((x * (y * z)) * u) = L(z,y,x) * u. [para(102(a,1),133(a,1,2,1))]. 401 x / K(x \ 1,x) = R(x,x \ 1,x). [para(165(a,2),139(a,2,2)),flip(a)]. 402 x \ L(L(y,x \ 1,x),z,u) = (x \ 1) * L(y,z,u). [hyper(75,a,48,a,b,166,a)]. 403 (1 / x) \ L(L(y,x,1 / x),z,u) = x * L(y,z,u). [hyper(75,a,48,a,b,169,a)]. 404 x * ((x \ y) * z) != y * u | L(z,x \ y,x) = u. [para(102(a,1),212(a,1))]. 406 (x * y) / y != z * u | z \ x = u. [para(16(a,1),244(a,1,2))]. 410 (R(x,y,z) * (y * z)) / z != u * w | (x * y) / w = u. [para(110(a,2),251(a,1,1))]. 411 (x * (x \ y)) * z != u | y * z = u. [para(67(a,1),252(a,1,1,1))]. 413 x \ (y * (y \ x)) != z * u | z \ 1 = u. [para(198(a,2),253(a,1,2))]. 415 T(x \ (x / y),z) = L(T(y \ 1,z),y,x / y). [para(279(a,1),43(a,2,1)),flip(a)]. 416 K(x,1 / x) \ x = L(x,1 / x,x). [para(168(a,2),284(a,2,1)),flip(a)]. 417 T((x \ y) / y,z) = R(T(1 / x,z),x,x \ y). [para(286(a,1),45(a,2,1)),flip(a)]. 418 (((x / y) / z) * z) * y != u * w | x / w = u. [para(19(a,2),297(a,1,1))]. 420 ((x / y) * y) * z != u * w | (x * z) / w = u. [para(195(a,1),297(a,1,1))]. 423 ((1 / x) * x) * y != z * u | y / u = z. [para(122(a,1),298(a,1,2))]. 424 x * (y * (y \ z)) != u * w | (x * z) / w = u. [para(197(a,1),298(a,1,2))]. 425 x \ (x * y) != z * u | y / u = z. [para(197(a,2),298(a,1))]. 426 x * y != z * u | z \ (x * y) = u. [para(18(a,1),300(a,1,1))]. 428 x * T(y,x) != z * u | z \ (y * x) = u. [para(129(a,1),300(a,1,1))]. 429 (x * y) * K(y,x) != z * u | z \ (y * x) = u. [para(127(a,1),300(a,1,1))]. 430 ((x / y) * y) * z != u * w | u \ (x * z) = w. [para(195(a,1),300(a,1,1))]. 431 x * (y * (y \ (x \ z))) != u * w | u \ z = w. [para(17(a,2),301(a,1,2))]. 432 x * (y * (y \ z)) != u * w | u \ (x * z) = w. [para(197(a,1),301(a,1,2))]. 435 T(x \ y,T(x,x \ y)) != z | ((x \ y) \ y) \ y = z. [para(114(a,2),315(a,1,2))]. 437 (x * y) \ (x * z) != u | L(y \ z,y,x) = u. [para(341(a,1),236(a,1,1)),flip(b)]. 440 L(T(x \ y,z),x,1 / x) = T((1 / x) * y,z). [para(361(a,1),43(a,2,1))]. 441 L(R(x \ y,z,u),x,1 / x) = R((1 / x) * y,z,u). [para(361(a,1),47(a,1,1)),flip(a)]. 442 L(L(x \ y,z,u),x,1 / x) = L((1 / x) * y,z,u). [para(361(a,1),48(a,1,1)),flip(a)]. 443 L(T((x \ 1) \ y,z),x \ 1,x) = T(x * y,z). [para(362(a,1),43(a,2,1))]. 444 L(R((x \ 1) \ y,z,u),x \ 1,x) = R(x * y,z,u). [para(362(a,1),47(a,1,1)),flip(a)]. 445 R(x / y,y,y \ 1) = x * (y \ 1). [hyper(252,a,369,a),flip(a)]. 446 R(1 / x,x,x \ 1) = x \ 1. [hyper(136,a,369,a)]. 447 (x \ 1) \ R(y,x,x \ 1) = T(y * x,x \ 1). [hyper(75,a,369,a(flip),b,113,a)]. 448 (x * (y \ 1)) * T(y,y \ 1) = R(x,y \ 1,(y \ 1) \ 1). [para(114(a,2),369(a,1,2))]. 450 R(x / y,y,T(z,x)) \ (z * x) = y * T(z,x). [para(113(a,1),371(a,1,2))]. 451 (x * y) / (z * y) != u | R(x / z,z,y) = u. [para(371(a,1),246(a,1,2)),flip(b)]. 452 R(R(1 / x,x,y),x * y,z) \ (y * z) = (x * y) * z. [para(141(a,2),371(a,1,1,1))]. 453 R(x,y,y \ 1) / (y \ 1) != z * y | z = x. [para(373(a,2),23(a,2)),flip(a)]. 455 ((x / y) \ x) * z != u | y * z = u. [para(193(a,2),411(a,1,1))]. 456 (x / (y \ x)) * z != u | y * z = u. [para(194(a,2),411(a,1,1))]. 457 K(x,1 / x) * L(x,1 / x,x) = x. [para(416(a,1),17(a,1,2))]. 460 R(x,y,z) \ ((x * y) * z) != u * w | (y * z) / w = u. [para(110(a,1),425(a,1,2))]. 462 R(T(x / y,z),y,y \ 1) = T(x * (y \ 1),z). [para(445(a,1),45(a,2,1))]. 463 R(L(x / y,z,u),y,y \ 1) = L(x * (y \ 1),z,u). [para(445(a,1),47(a,2,1))]. 464 R(R(x / y,z,u),y,y \ 1) = R(x * (y \ 1),z,u). [para(445(a,1),49(a,1,1)),flip(a)]. 465 ((x \ y) \ y) * z != u | T(x,x \ y) * z = u. [para(174(a,1),455(a,1,1,1))]. 466 K(x,1 / x) * y != x | L(x,1 / x,x) = y. [para(457(a,1),22(a,1)),flip(a)]. 467 (x * (y * x)) * (1 / x) = x * y. [para(15(a,1),117(a,2,2))]. 468 x * ((x \ y) * x) = y / (1 / x). [hyper(76,a,17,a(flip),b,467,a),flip(a)]. 469 (x * y) * (1 / x) = x * (y / x). [para(19(a,1),467(a,1,1,2))]. 470 x \ (y / (1 / x)) = (x \ y) * x. [hyper(80,a,468,a)]. 471 (x \ (y * (1 / x))) * x = x \ y. [hyper(75,a,18,a(flip),b,468,a),flip(a)]. 472 L(x,x \ 1,x) = 1 / (1 / x). [hyper(189,a,166,a(flip),b,468,a(flip)),flip(a)]. 473 (x / (1 / y)) * ((1 / y) * z) = y * ((y \ x) * z). [para(468(a,1),50(a,1,1))]. 474 x * K(x \ 1,x) = 1 / (1 / x). [para(165(a,2),468(a,1,2))]. 475 L(R(x,y,z),x \ 1,x) = R(1 / (1 / x),y,z). [para(472(a,1),47(a,1,1)),flip(a)]. 476 (x \ 1) * (y / (x \ 1)) = ((x \ 1) * y) * x. [para(67(a,1),469(a,1,2)),flip(a)]. 477 x \ (1 / (1 / x)) = K(x \ 1,x). [hyper(189,a,165,a,b,470,a)]. 478 ((x \ 1) \ y) * (x \ 1) = (x \ 1) \ (y / x). [para(67(a,1),470(a,1,2,2)),flip(a)]. 482 (x \ 1) * ((x * y) * x) = y * x. [para(14(a,1),119(a,2,1))]. 483 ((1 / x) * y) * (1 / x) = x \ (y * (1 / x)). [hyper(225,a,482,a),flip(a)]. 484 (x \ 1) * ((x * 1) * x) = x. [hyper(189,a,14,a(flip),b,482,a)]. 485 (x * (y / x)) * x = (x \ 1) \ y. [hyper(75,a,19,a(flip),b,482,a),flip(a)]. 486 (x \ 1) * (y * x) = (x \ y) * x. [para(17(a,1),482(a,1,2,1))]. 487 (x \ 1) * y != z * x | (x * z) * x = y. [para(482(a,1),22(a,1)),flip(a)]. 488 (x \ 1) * (x * x) = x. [para(15(a,1),484(a,1,2,1))]. 489 (x \ 1) \ x = x * x. [hyper(80,a,488,a)]. 491 (x * (y \ 1)) * ((y \ 1) \ z) = (x * (z / y)) * y. [para(485(a,1),51(a,1,2))]. 492 K(x,1 / x) * x = (x \ 1) \ 1. [para(168(a,2),485(a,1,1))]. 493 x \ (y / (1 / x)) = (x \ 1) * (y * x). [hyper(189,a,470,a,b,486,a),flip(a)]. 494 ((x \ 1) \ 1) / x = K(x,1 / x). [hyper(88,a,492,a)]. 495 ((x \ 1) \ 1) / x != y | K(x,1 / x) = y. [para(492(a,1),248(a,1,1)),flip(b)]. 496 K(1 / x,1 / (1 / x)) = (x \ 1) / (1 / x). [para(69(a,1),494(a,1,1,1)),flip(a)]. 497 T(x / y,(z / y) \ z) = y \ x. [hyper(147,a,226,a,b,224,a)]. 498 x * (y * T(z,x * y)) = L(z,y,x) * (x * y). [hyper(189,a,102,a(flip),b,159,a(flip)),flip(a)]. 499 (x * (L(y,z,u) * w)) \ ((x * w) * L(T(y,w),z,u)) = a(x,w,L(T(y,w),z,u)). [para(159(a,1),27(a,2,1,2)),flip(a)]. 500 x * L(x \ (y * x),z,u) = L(y,z,u) * x. [para(35(a,1),159(a,1,2,1))]. 501 x * L(R(T(y,x),z,u),w,v5) = L(R(y,z,u),w,v5) * x. [para(45(a,2),159(a,1,2,1))]. 502 L(x / y,z,u) * y = y * L(y \ x,z,u). [para(115(a,1),159(a,1,2,1)),flip(a)]. 503 L((x * y) / x,z,u) * x = x * L(y,z,u). [para(142(a,1),159(a,1,2,1)),flip(a)]. 504 L(L(x,y,z),u,w) * x = x * L(L(x,y,z),u,w). [para(125(a,1),159(a,1,2,1)),flip(a)]. 505 (x * y) * R(T(z,x * y),x,y) = (z * x) * y. [hyper(189,a,110,a(flip),b,160,a)]. 506 ((x * y) * z) / R(T(x,y * z),y,z) = y * z. [hyper(76,a,110,a(flip),b,160,a)]. 507 (x * y) \ ((z * x) * y) = R(T(z,x * y),x,y). [hyper(75,a,110,a(flip),b,160,a)]. 509 x * R(T(T(y,x),z),u,w) = R(T(y,z),u,w) * x. [para(41(a,1),160(a,1,2,1))]. 510 R(x / y,z,u) * y = y * R(y \ x,z,u). [para(115(a,1),160(a,1,2,1)),flip(a)]. 511 R(T(x,y),z,u) * x = x * R(T(x,y),z,u). [para(124(a,1),160(a,1,2,1)),flip(a)]. 512 R((x * y) / x,z,u) * x = x * R(y,z,u). [para(142(a,1),160(a,1,2,1)),flip(a)]. 513 (x \ y) * R((x \ y) \ y,z,u) = R(x,z,u) * (x \ y). [para(114(a,1),160(a,1,2,1))]. 514 R(x / (x / y),z,u) * (x / y) = (x / y) * R(y,z,u). [para(164(a,1),160(a,1,2,1)),flip(a)]. 515 (x * L(x \ y,z,u)) / x = L(y / x,z,u). [para(162(a,1),143(a,1,1,2))]. 516 (x * R(x \ y,z,u)) / x = R(y / x,z,u). [para(163(a,1),143(a,1,1,2))]. 517 T(x / (y * x),y) = R(y \ 1,y,x). [para(141(a,1),163(a,1,1))]. 518 T((x * y) / (z * y),z) = R(z \ x,z,y). [para(111(a,1),163(a,1,1))]. 519 R(x \ (y / z),x,z) = T(y / (x * z),x). [para(187(a,1),163(a,1,1)),flip(a)]. 520 R(x \ 1,x,x \ 1) = T(x \ 1,x). [para(446(a,1),163(a,1,1)),flip(a)]. 521 R(x \ y,x,x \ 1) = T(y * (x \ 1),x). [para(445(a,1),163(a,1,1)),flip(a)]. 522 (x / (y * x)) * y = y * R(y \ 1,y,x). [para(517(a,1),113(a,1,2)),flip(a)]. 523 T(x,x \ y) \ z = ((x \ y) \ y) \ z. [hyper(301,a,219,a),flip(a)]. 524 ((x \ y) \ y) * T(z,T(x,x \ y)) = z * T(x,x \ y). [hyper(205,a,219,a),flip(a)]. 525 T(T(x,x \ y),z) = T((x \ y) \ y,z). [hyper(147,a,219,a,b,113,a)]. 526 T(x,x \ y) \ (((x \ y) \ y) * z) = z. [hyper(81,a,219,a)]. 527 (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) = K(z,(x \ y) \ y). [para(219(a,2),29(a,2,1)),flip(a)]. 528 (T(x,x \ y) * z) \ (((x \ y) \ y) * (z * u)) = L(u,z,(x \ y) \ y). [para(219(a,2),31(a,2,1)),flip(a)]. 530 (x / ((y \ z) \ z)) * T(y,y \ z) = x. [hyper(189,a,19,a(flip),b,220,a)]. 531 (x * T(y,y \ z)) / ((y \ z) \ z) = x. [hyper(76,a,220,a,b,xx)]. 534 (x \ y) * T(T((x \ y) \ y,z),u) = T(T(x,z),u) * (x \ y). [para(221(a,1),158(a,1,2,1))]. 535 ((x \ y) \ y) \ z != u | T(x,x \ y) \ z = u. [para(256(a,1),237(a,1,2)),flip(b)]. 536 x \ ((x / T(y,y \ z)) * (((y \ z) \ z) * u)) = L(u,(y \ z) \ z,x / T(y,y \ z)). [para(258(a,1),31(a,2,1)),flip(a)]. 537 x \ (x / y) != z | L(y \ 1,y,x / y) = z. [para(19(a,1),310(a,1,1))]. 538 T(x,y) / (x * y) != z | R(1 / y,y,T(x,y)) = z. [para(113(a,1),314(a,1,2))]. 539 (1 / x) / K(x,1 / x) != y | R(1 / x,x,1 / x) = y. [para(168(a,2),314(a,1,2))]. 540 ((x \ y) \ y) / T(z,z \ T(x,x \ y)) = z \ ((x \ y) \ y). [para(318(a,2),174(a,1,2,2))]. 541 x * T(x \ (y * x),z) != u * w | u \ (T(y,z) * x) = w. [para(322(a,2),426(a,1))]. 543 ((((x * y) / x) \ z) \ z) * x = x * T(y,((x * y) / x) \ z). [hyper(189,a,219,a(flip),b,325,a(flip)),flip(a)]. 544 T(x / y,z) * y != u | y * T(y \ x,z) = u. [para(328(a,1),200(a,1,1)),flip(b)]. 546 T((x * (y / z)) / x,z) = (x * (z \ y)) / x. [para(115(a,1),330(a,1,1,2)),flip(a)]. 547 T((x * y) / x,z) * x != u | x * T(y,z) = u. [para(330(a,1),200(a,1,1)),flip(b)]. 548 T(T((x * y) / x,z),x) != u | T(y,z) = u. [para(330(a,1),242(a,1,1)),flip(b)]. 550 x \ (((y / (1 / x)) * z) / z) = (x \ 1) * (y * x). [para(18(a,2),493(a,1,2))]. 551 T(x,x \ y) * z != u | ((x \ y) \ y) * z = u. [para(526(a,1),203(a,1,2)),flip(b)]. 553 (x * (y * z)) \ ((x * y) * z) != u | a(x,y,z) = u. [para(92(a,1),237(a,1,2)),flip(b)]. 554 L(T(x,y),y,x) = T(x,x * y). [hyper(238,a,154,a),flip(a)]. 555 (R(x,y,z) * z) \ ((x * y) * z) = L(T(y,z),z,R(x,y,z)). [para(110(a,1),154(a,1,2))]. 556 L(T(x,y \ z),y \ z,y) != u | z \ (y * (x * (y \ z))) = u. [para(154(a,1),247(a,1))]. 557 T(L(x,y,x),y) = T(x,x * y). [hyper(189,a,43,a(flip),b,554,a(flip)),flip(a)]. 558 L(R(T(x,y),z,u),y,x) = R(T(x,x * y),z,u). [para(554(a,1),47(a,1,1)),flip(a)]. 559 x * T(y,y * x) = L(y,x,y) * x. [para(554(a,1),159(a,1,2))]. 560 (x * y) * R(L(T(x,y),y,x),z,u) = R(x,z,u) * (x * y). [para(554(a,2),160(a,1,2,1))]. 561 (x * T(y,y * x)) / x = L(y,x,y). [para(557(a,1),143(a,1,1,2))]. 562 x * L(T(y,y * x),z,u) = L(L(y,x,y),z,u) * x. [para(557(a,1),159(a,1,2,1))]. 563 T((x * y) / x,y * x) = L(y,x,y). [hyper(21,a,325,a,b,559,a(flip)),flip(a)]. 564 L(x,T(y,x),x) * T(y,x) = T(y,x) * T(x,y * x). [para(113(a,1),559(a,1,2,2)),flip(a)]. 565 T(((x \ y) * x) / (x \ y),y) = L(x,x \ y,x). [para(17(a,1),563(a,1,2))]. 566 T(T((x * y) / x,z),y * x) = T(L(y,x,y),z). [para(563(a,1),41(a,1,1)),flip(a)]. 567 (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(218(a,1),323(a,1,1,1)),flip(a)]. 568 x * R(T(y,x),z,z \ x) = (y * z) * (z \ x). [hyper(189,a,160,a,b,255,a(flip)),flip(a)]. 569 (x * y) * T((x * y) \ x,z) = x * (y * T(y \ 1,z)). [para(280(a,2),102(a,1,2))]. 570 (x / (y * x)) * (R(1 / y,y,x) \ z) = z. [hyper(203,a,285,a)]. 571 x * T(x \ (y * x),z) != u | T(y,z) * x = u. [para(35(a,1),302(a,1,2,1))]. 572 x * T(T(T(y,x),z),u) != w | T(T(y,z),u) * x = w. [para(41(a,1),302(a,1,2,1))]. 573 L(x \ 1,x,y) \ z = ((y * x) \ y) \ z. [hyper(80,a,312,a)]. 574 K(L(x \ 1,x,y) \ 1,L(x \ 1,x,y)) = ((y * x) \ y) \ (1 / (1 / L(x \ 1,x,y))). [hyper(20,a,474,a,b,312,a),flip(a)]. 575 x \ (y * T(y \ x,y)) != z | K(y \ x,y) = z. [para(113(a,2),336(a,1,2))]. 576 x * L(L(y,z \ x,z),u,w) = z * ((z \ x) * L(y,u,w)). [para(48(a,1),344(a,1,2))]. 577 x \ (y * ((y \ x) * z)) != u | L(z,y \ x,y) = u. [para(344(a,1),237(a,1,2)),flip(b)]. 579 L(x \ y,x,y / x) = T(y / x,y). [hyper(147,a,89,a(flip),b,345,a),flip(a)]. 580 x * L(L(y,z,x / z),u,w) = (x / z) * (z * L(y,u,w)). [para(48(a,1),345(a,1,2))]. 581 a(x,y,z) = L(((x * y) \ (x * (y * z))) \ z,(x * y) \ (x * (y * z)),x * y). [hyper(189,a,27,a,b,359,a),flip(a)]. 582 L(T((x \ y) \ z,u),x \ y,x) = T(y \ (x * z),u). [para(359(a,1),43(a,2,1))]. 583 L(R((x \ y) \ z,u,w),x \ y,x) = R(y \ (x * z),u,w). [para(359(a,1),47(a,1,1)),flip(a)]. 584 K(x,y) = L(x \ T(x,y),x,y). [hyper(189,a,29,a,b,366,a),flip(a)]. 585 L(T(x \ T(y,z),u),x,z) = T((z * x) \ (y * z),u). [para(366(a,1),43(a,2,1))]. 587 R(x,x \ (y / z),z) \ y = (x \ (y / z)) * z. [para(19(a,1),370(a,1,2))]. 588 (x * y) / ((z \ x) * y) != u | R(z,z \ x,y) = u. [para(370(a,1),246(a,1,2)),flip(b)]. 589 (x * (1 / y)) * y = R(x,1 / y,y). [hyper(86,a,375,a),flip(a)]. 590 (x * (y / z)) * z != u * y | R(x,y / z,z) = u. [para(375(a,1),23(a,1))]. 591 (x * (1 / y)) * y != z | R(x,1 / y,y) = z. [para(375(a,1),85(a,1)),flip(b)]. 592 R(T(x / (y / z),u),y / z,z) * y = ((y / z) * T((y / z) \ x,u)) * z. [para(323(a,1),375(a,2,1))]. 593 R(x / (1 / y),1 / y,y) = x * y. [hyper(252,a,589,a),flip(a)]. 594 R(R(x,1 / y,y),z,u) / y = R(x,z,u) * (1 / y). [hyper(76,a,49,a,b,589,a)]. 595 L(R(x,1 / y,y),z,u) / y = L(x,z,u) * (1 / y). [hyper(76,a,47,a(flip),b,589,a)]. 596 R(T(x / (1 / y),z),1 / y,y) = T(x * y,z). [para(593(a,1),45(a,2,1))]. 597 R(T(x / (y / z),u),y / z,z) = T((x * z) / y,u). [para(391(a,1),45(a,2,1))]. 598 R((x / y) \ z,x / y,y) = T((z * y) / x,x / y). [para(391(a,1),163(a,1,1)),flip(a)]. 599 T(x * (y / z),L(z,y / z,x)) = L(z,y / z,x) \ (x * y). [para(398(a,1),115(a,1,1))]. 602 T(x,x \ 1) / x != y | K(x,1 / x) = y. [para(114(a,2),495(a,1,1))]. 603 R(x,y,z) = T(((y * x) * z) / (y * z),y). [para(16(a,1),518(a,2,1)),flip(a)]. 604 T((x * (y \ z)) / z,y) = R(y \ x,y,y \ z). [para(17(a,1),518(a,1,1,2))]. 605 ((x \ (y / (x \ z))) * x) * (x \ z) = T(y / (x * (x \ z)),x) * z. [para(519(a,1),255(a,1,1)),flip(a)]. 606 ((x \ y) * x) * (x \ 1) = T(y * (x \ 1),x). [hyper(189,a,369,a,b,521,a(flip)),flip(a)]. 607 (x * R(x \ 1,x,y)) \ (x * (y / (x * y))) != z | K(x,y / (x * y)) = z. [para(522(a,1),240(a,1,1))]. 608 T((((x * y) / x) \ z) \ z,x) != u | T(y,((x * y) / x) \ z) = u. [para(114(a,1),548(a,1,1))]. 609 ((x \ y) / y) * (R(1 / x,x,x \ y) \ z) = z. [para(17(a,1),570(a,1,1,2))]. 610 R(1 / x,x,y) != z | y / (x * y) = z. [para(570(a,1),138(a,1))]. 611 L(x \ 1,x,y) \ (z * ((y * x) \ y)) = T(z,(y * x) \ y). [hyper(189,a,35,a,b,573,a)]. 612 (((x * y) * z) / (x * z)) * x = x * R(y,x,z). [para(603(a,2),113(a,1,2)),flip(a)]. 613 T(R(x,y,x),y * x) = T(x,y). [para(603(a,2),176(a,1,1))]. 614 R(x,y,x) * (y * x) = (y * x) * T(x,y). [para(603(a,2),325(a,1,1))]. 615 R(T(x,y * x),y,x) = T(x,y). [hyper(189,a,45,a,b,613,a(flip)),flip(a)]. 617 R(R(x,y,x),z,u) * (y * x) = (y * x) * R(T(x,y),z,u). [para(613(a,1),160(a,1,2,1)),flip(a)]. 618 R(T(x,y),y / x,x) = T(x,y / x). [para(19(a,1),615(a,1,1,2))]. 619 (T(x,y * x) * y) * x = T(x,y) * (y * x). [para(615(a,1),110(a,1,1)),flip(a)]. 620 R(x,1 / x,x) = T(x,1 / x). [para(188(a,1),618(a,1,1))]. 621 (x * y) * T(y,x) = (y * x) * y. [hyper(189,a,110,a(flip),b,614,a(flip))]. 622 (x * (y / x)) * x = y * T(x,y / x). [hyper(252,a,621,a),flip(a)]. 623 (T(x,y) * (y * x)) \ ((x * y) * x) = K(y * x,T(x,y)). [hyper(75,a,621,a(flip),b,95,a)]. 625 T(x,1 / x) = (x \ 1) \ 1. [hyper(74,a,485,a(flip),b,622,a(flip))]. 626 T(x,1 / x) = T(x,x \ 1). [hyper(189,a,114,a,b,625,a)]. 627 T(x \ 1,x) = ((x \ 1) \ 1) \ 1. [para(67(a,1),625(a,1,2))]. 628 ((1 / x) * ((x \ 1) \ 1)) / (1 / x) != y | y = x. [para(625(a,1),250(a,1,1,2))]. 629 R(x,1 / x,x) = T(x,x \ 1). [hyper(189,a,620,a,b,626,a(flip)),flip(a)]. 630 (x * T(y,y \ 1)) / x = T((x * y) / x,1 / y). [para(626(a,1),330(a,1,1,2))]. 631 R(R(x,y,z),1 / x,x) = R(T(x,x \ 1),y,z). [para(629(a,1),49(a,1,1)),flip(a)]. 632 T(x,x \ 1) \ 1 = T(x \ 1,x). [hyper(189,a,523,a,b,627,a),flip(a)]. 633 1 / T(x \ 1,x) = (x \ 1) \ 1. [para(627(a,2),67(a,1,2))]. 634 x / L(T(y \ 1,y),T(y,y \ 1),x) = x * T(y,y \ 1). [para(632(a,1),283(a,1,2,1))]. 635 R(T(T(x,y),z),u,w) = T(T(R(x,u,w),z),y). [hyper(189,a,45,a,b,116,a),flip(a)]. 636 ((x \ 1) * y) * ((1 / (x \ 1)) * x) = (x \ (y / (x \ 1))) * x. [hyper(189,a,486,a(flip),b,118,a)]. 637 (x / (y \ 1)) * (y \ z) = (x * (z * y)) / y. [hyper(76,a,90,a(flip),b,120,a(flip)),flip(a)]. 639 R(R(x,y,z),u,w) * (y * z) != v5 | (R(x,u,w) * y) * z = v5. [para(49(a,1),204(a,1,1))]. 641 (x * y) * T(L(z,y,x),u) != w | x * (y * T(z,u)) = w. [para(43(a,1),207(a,1,2))]. 642 (x * y) * R(L(z,y,x),u,w) != v5 | x * (y * R(z,u,w)) = v5. [para(47(a,2),207(a,1,2))]. 643 (x * y) * (K(y,x) * z) != (y * x) * u | L(z,K(y,x),x * y) = u. [para(95(a,1),346(a,1,1)),flip(a)]. 644 (x * y) \ (y * (T(x,y) * z)) != u | L(z,T(x,y),y) = u. [para(113(a,1),355(a,1,1))]. 645 (x * y) \ (x * (z * y)) != u | L(T(z,y),y,x) = u. [para(113(a,1),355(a,1,2,2))]. 646 (x * (y * z)) \ (x * (y * (z * u))) != w | L(L(u,z,y),y * z,x) = w. [para(102(a,1),355(a,1,2,2))]. 647 (x * y) \ (x * (1 / (1 / y))) != z | L(K(y \ 1,y),y,x) = z. [para(474(a,1),355(a,1,2,2))]. 649 ((1 / (1 / x)) * y) / (K(x \ 1,x) * y) != z | R(x,K(x \ 1,x),y) = z. [para(474(a,1),385(a,1,1,1))]. 650 ((x * y) * R(T(z,y),u,w)) / (R(z,u,w) * y) != v5 | R(x,y,R(T(z,y),u,w)) = v5. [para(160(a,1),385(a,1,2))]. 651 (x * ((x \ 1) * y)) * x = y / (x \ 1). [hyper(487,a,476,a)]. 652 (x \ 1) * y != ((x \ 1) * z) * x | z / (x \ 1) = y. [para(476(a,1),22(a,1)),flip(a)]. 653 ((x \ 1) \ y) / (x \ 1) = (x * y) * x. [para(17(a,1),651(a,1,1,2)),flip(a)]. 655 ((x * y) * x) * (x \ 1) = (x \ 1) \ y. [para(653(a,1),19(a,1,1))]. 656 (x \ 1) \ (x \ y) = (y * x) * (x \ 1). [para(17(a,1),655(a,1,1,1)),flip(a)]. 658 (x \ y) / ((y * x) * (x \ 1)) = x \ 1. [para(656(a,1),67(a,1,2))]. 659 (x \ (y / x)) / (y * (x \ 1)) = x \ 1. [para(19(a,1),658(a,1,2,1))]. 660 (x \ 1) \ (x \ y) != z | (y * x) * (x \ 1) = z. [para(658(a,1),236(a,1,1)),flip(b)]. 661 x \ (y / x) != (x \ 1) * z | y * (x \ 1) = z. [para(659(a,1),82(a,1,1)),flip(a),flip(b)]. 662 L((x * y) / x,z,u) = (x * L(y,z,u)) / x. [hyper(88,a,503,a),flip(a)]. 663 L(((x * y) * z) / (x * y),y,x) = (x * (y * z)) / (x * y). [hyper(76,a,102,a(flip),b,503,a),flip(a)]. 664 R(R(x / y,y,z),u,w) * (y * z) = (y * z) * R((y * z) \ (x * z),u,w). [para(111(a,2),510(a,1,1,1))]. 665 (x * R(x \ y,z,u)) * (x \ 1) = R(R(y / x,z,u),x,x \ 1). [para(510(a,1),369(a,1,1))]. 666 (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(218(a,1),510(a,1,1,1)),flip(a)]. 667 T(x,R(T(x,y),z,u)) = x. [hyper(148,a,511,a)]. 668 T(x,R(x,y,z)) = x. [para(112(a,1),667(a,1,2,1))]. 669 ((((x * y) * z) / (x * y)) * x) * y = (x * y) * R(z,x,y). [hyper(204,a,512,a)]. 670 R((x * y) / x,z,u) = (x * R(y,z,u)) / x. [hyper(88,a,512,a),flip(a)]. 671 R((x * y) / x,z,u) \ (x * R(y,z,u)) = x. [hyper(80,a,512,a)]. 672 (x * R(y,z,z \ x)) / (z \ x) = ((x * y) / x) * z. [hyper(76,a,512,a(flip),b,255,a(flip))]. 673 L(x / y,z,u) * y != w | y * L(y \ x,z,u) = w. [para(515(a,1),200(a,1,1)),flip(b)]. 674 T(L(x / y,z,u),y) != w | L(y \ x,z,u) = w. [para(515(a,1),242(a,1,1)),flip(b)]. 675 L((x \ y) / z,z,x) = (z * ((x * z) \ y)) / z. [para(183(a,1),515(a,1,1,2)),flip(a)]. 676 L(T(x,y) / x,x,y) = (x * K(x,y)) / x. [para(584(a,2),515(a,1,1,2)),flip(a)]. 677 ((x * y) * R(L(z,y,x),u,w)) / (x * y) = R((x * (y * z)) / (x * y),u,w). [para(31(a,2),516(a,1,1,2,1))]. 678 ((x / y) * R(y,z,u)) / (x / y) = R(x / (x / y),z,u). [para(69(a,1),516(a,1,1,2,1))]. 679 R(x / y,z,u) * y != w | y * R(y \ x,z,u) = w. [para(516(a,1),200(a,1,1)),flip(b)]. 680 ((x * (y / z)) / x) * z = z * ((x * (z \ y)) / x). [para(546(a,1),113(a,1,2)),flip(a)]. 681 (x * ((y * (x \ z)) / y)) / x = (y * (z / x)) / y. [para(546(a,1),143(a,1,1,2))]. 682 ((x * (y / z)) / x) \ (z * ((x * (z \ y)) / x)) = z. [para(546(a,1),144(a,1,2,2))]. 683 x * ((y * (x \ z)) / y) != u | ((y * (z / x)) / y) * x = u. [para(546(a,1),205(a,1,2))]. 684 (x * K(y \ x,y)) * (y \ 1) = T(x * (y \ 1),y). [para(213(a,2),606(a,1,1))]. 686 T(T(R(x / y,z,u),w),y) = R(T(y \ x,w),z,u). [para(115(a,1),635(a,1,1,1)),flip(a)]. 687 (x * (y * y)) / y = x / (y \ 1). [hyper(138,a,637,a),flip(a)]. 688 (x / (y \ 1)) * y = x * (y * y). [para(687(a,1),19(a,1,1))]. 690 L((x * y) / x,z,u) * x != w | x * L(y,z,u) = w. [para(662(a,2),200(a,1,1)),flip(b)]. 691 L((x * (y \ (z \ u))) / x,y,z) = (x * ((z * y) \ u)) / x. [para(183(a,1),662(a,2,1,2))]. 692 L((x * (y \ 1)) / x,y,z / y) = (x * (z \ (z / y))) / x. [para(279(a,1),662(a,2,1,2))]. 693 L((x * (y \ z)) / x,y,1 / y) = (x * ((1 / y) * z)) / x. [para(361(a,1),662(a,2,1,2))]. 694 L((x * ((y \ z) \ u)) / x,y \ z,y) = (x * (z \ (y * u))) / x. [para(359(a,1),662(a,2,1,2))]. 695 R((x * (1 / y)) / x,y,z) = (x * (z / (y * z))) / x. [para(141(a,1),670(a,2,1,2))]. 696 R((x * ((y / z) / u)) / x,u,z) = (x * (y / (u * z))) / x. [para(187(a,1),670(a,2,1,2))]. 698 R((x * (y / z)) / x,z,z \ 1) = (x * (y * (z \ 1))) / x. [para(445(a,1),670(a,2,1,2))]. 699 ((x * R(y,z,u)) / x) * (z * u) != w | (((x * y) / x) * z) * u = w. [para(670(a,1),204(a,1,1))]. 700 x \ ((x * (1 / y)) * y) = a(x,1 / y,y). [para(15(a,1),94(a,1,1))]. 701 (x * y) \ (y * T(x,y / x)) = a(x,y / x,x). [para(622(a,1),94(a,1,2))]. 702 x \ R(x,1 / y,y) = a(x,1 / y,y). [para(589(a,1),700(a,1,2))]. 703 T(((x * y) * x) / (x * y),y) = R(x,y,T(x,y)). [hyper(189,a,330,a(flip),b,156,a(flip)),flip(a)]. 704 a(1 / (x * y),x,y) \ R((1 / (x * y)) * x,y,y \ 1) = y \ 1. [para(167(a,1),374(a,1,1))]. 705 (x * y) * R((x * y) \ x,z,u) = x * (y * R(y \ 1,z,u)). [para(281(a,2),102(a,1,2))]. 706 R((x * y) \ x,y,y \ 1) = L(T(y \ 1,y),y,x). [para(520(a,1),281(a,2,1))]. 707 L(L(x \ 1,y * x,z),x,y) = (z * (y * x)) \ (z * y). [hyper(189,a,104,a(flip),b,282,a)]. 708 L((x * y) \ x,y,1 / y) = L(1 / y,y,x). [para(277(a,1),282(a,1,1)),flip(a)]. 709 (x * y) * L((x * y) \ x,z,u) = x * (y * L(y \ 1,z,u)). [para(282(a,1),102(a,1,2))]. 710 (1 / x) * (x * ((y * x) \ y)) = L(1 / x,x,y). [hyper(306,a,708,a)]. 712 (x * y) * T((x * y) \ (x * z),u) = x * (y * T(y \ z,u)). [para(104(a,1),350(a,1,2,1))]. 713 (x * y) * T((x * y) \ z,u) = x * (y * T(y \ (x \ z),u)). [para(183(a,1),350(a,1,2,1))]. 714 (x * y) * T((y * T(x,y)) \ y,z) = y * (T(x,y) * T(T(x,y) \ 1,z)). [para(280(a,2),353(a,1,2))]. 715 L(T(T(x,y) \ z,u),T(x,y),y) = T((x * y) \ (y * z),u). [para(365(a,1),43(a,2,1))]. 716 L(R(T(x,y) \ z,u,w),T(x,y),y) = R((x * y) \ (y * z),u,w). [para(365(a,1),47(a,1,1)),flip(a)]. 717 L(L(T(x,y) \ z,u,w),T(x,y),y) = L((x * y) \ (y * z),u,w). [para(365(a,1),48(a,1,1)),flip(a)]. 718 T((x * y) / (z * y),u) * (z * y) = (T(x / z,u) * z) * y. [para(111(a,1),380(a,1,1,1))]. 719 (T((x / y) / z,u) * z) * y = T(x / (z * y),u) * (z * y). [para(187(a,1),380(a,1,1,1)),flip(a)]. 720 R(T(x / y,y * z),y,z) = (y * z) \ (x * z). [hyper(307,a,392,a),flip(a)]. 721 R(T(x / y,y * z),y,z) != u | (y * z) \ (x * z) = u. [para(392(a,1),307(a,1))]. 722 (x / y) * (y * T(y \ 1,z)) = x * T(x \ (x / y),z). [para(415(a,2),345(a,1,2)),flip(a)]. 723 R(T(1 / x,y),x,x \ y) = y \ (x \ y). [hyper(307,a,417,a),flip(a)]. 724 T((x \ y) / y,z) * y = (T(1 / x,z) * x) * (x \ y). [para(417(a,2),255(a,1,1))]. 726 ((x * y) * z) * K(y * z,R(x,y,z)) != u * w | u \ ((y * z) * R(x,y,z)) = w. [para(110(a,1),429(a,1,1))]. 727 (1 / x) \ T((1 / x) * y,z) = x * T(x \ y,z). [hyper(75,a,440,a(flip),b,169,a)]. 728 L(L(T(x \ 1,y),x,z),z * x,1 / (z * x)) = T((1 / (z * x)) * z,y). [para(280(a,1),440(a,1,1))]. 729 (x \ 1) * T((x \ 1) \ y,z) = x \ T(x * y,z). [hyper(75,a,443,a(flip),b,166,a),flip(a)]. 730 R(x,T(y,x),T(z,y * x)) \ (z * (y * x)) = T(y,x) * T(z,y * x). [para(129(a,1),450(a,1,1,1))]. 731 T(x * (y \ 1),z) / (y \ 1) = T(x / y,z) * y. [hyper(76,a,462,a(flip),b,369,a)]. 732 ((x * y) \ x) * (x * y) = x * (y * T(y \ 1,x * y)). [para(140(a,1),498(a,2,1)),flip(a)]. 734 R(T(x,T(y,x) * z),T(y,x),z) = (T(y,x) * z) \ ((y * x) * z). [para(113(a,1),507(a,1,2,1)),flip(a)]. 735 T(x,y) * (x \ z) != u | (x \ z) * T((x \ z) \ z,y) = u. [para(67(a,1),544(a,1,1,1))]. 736 T(T((x * y) / x,z),y * x) = L(T(y,z),x,y). [hyper(189,a,43,a,b,566,a)]. 737 x * R(L(T(y,x),z,u),w,w \ x) = (L(y,z,u) * w) * (w \ x). [para(43(a,2),568(a,1,2,1))]. 738 T(x / (1 / y),z) * (1 / y) = T(x * y,z) / y. [hyper(76,a,596,a(flip),b,589,a),flip(a)]. 739 T(((1 / x) * y) * x,1 / x) = R(y,1 / x,x). [para(142(a,1),596(a,1,1)),flip(a)]. 740 ((x * (y \ z)) / z) * y = y * R(y \ x,y,y \ z). [para(604(a,1),113(a,1,2)),flip(a)]. 741 R(1 / x,x,x \ y) != z | (x \ y) / y = z. [para(609(a,1),138(a,1))]. 742 R(x,y,z) \ R(T(x,x \ 1),y,z) = a(R(x,y,z),1 / x,x). [para(631(a,1),702(a,1,2))]. 743 L((x \ (T(x,y) * y)) / y,y,x) = (y * K(T(x,y),y)) / y. [para(152(a,1),675(a,2,1,2))]. 744 ((x / y) * ((y \ z) \ z)) / (x / y) = T(x / (x / y),y \ z). [hyper(76,a,220,a(flip),b,327,a)]. 745 (1 / (1 / x)) \ L(y,x \ 1,x) = (1 / x) * y. [hyper(75,a,166,a(flip),b,473,a)]. 746 (x / (1 / y)) * z != y * ((y \ x) * u) | (1 / y) * u = z. [para(473(a,1),22(a,1)),flip(a)]. 748 (x * (y / x)) * x != z | (x \ 1) \ y = z. [para(491(a,1),135(a,1)),flip(b)]. 750 T(x,L(L(x,y,z),u,w)) = x. [hyper(148,a,504,a)]. 751 ((x / (1 / y)) * y) * (y \ 1) = x * y. [hyper(661,a,550,a)]. 752 (x * (1 / y)) * y = (x * y) * (y \ 1). [para(18(a,1),751(a,1,1,1)),flip(a)]. 753 x \ ((y * x) * (x \ 1)) = T(y * (1 / x),x). [hyper(147,a,752,a,b,17,a),flip(a)]. 755 (((1 / x) * y) * x) * (x \ 1) = (x \ (y * (1 / x))) * x. [para(483(a,1),752(a,1,1)),flip(a)]. 756 T((x * y) * (1 / x),x) = x \ ((x \ 1) \ y). [para(655(a,1),753(a,1,2)),flip(a)]. 757 T((x * y) / x,1 / y) = T((x * y) / x,y \ 1). [hyper(332,a,630,a),flip(a)]. 758 R((x * (y / z)) / x,z,z \ 1) / (z \ 1) = z * ((x * (z \ y)) / x). [hyper(189,a,373,a,b,680,a(flip)),flip(a)]. 759 ((x * R(y / z,z,u)) / x) * (z * u) = (z * u) * ((x * ((z * u) \ (y * u))) / x). [para(111(a,2),680(a,1,1,1,2))]. 760 (x * ((y * z) / y)) / x = (y * ((x * z) / x)) / y. [para(16(a,1),681(a,1,1,2,1,2))]. 761 ((x * (y / z)) / x) * z != u | z * ((x * (z \ y)) / x) = u. [para(681(a,1),200(a,1,1)),flip(b)]. 762 ((x * (y / (y / z))) / x) \ ((y / z) * ((x * z) / x)) = y / z. [para(69(a,1),682(a,1,2,2,1,2))]. 763 T(T((x * y) / (z * y),u),z) = R(T(z \ x,u),z,y). [para(111(a,1),686(a,1,1,1))]. 764 R(T(x \ y,x * z),x,z) = T((x * z) \ (y * z),x). [para(393(a,1),686(a,1,1)),flip(a)]. 765 (1 / x) \ T(1 / x,y) = x * T(x \ 1,y). [para(15(a,1),727(a,1,2,1))]. 766 x * T(x \ ((1 / x) \ y),z) = (1 / x) \ T(y,z). [para(17(a,1),727(a,1,2,1)),flip(a)]. 767 x \ T(x * (y * (x \ 1)),z) = T(y,z) * (x \ 1). [hyper(571,a,729,a),flip(a)]. 768 x \ T(x * y,x \ 1) = ((x \ 1) \ y) * (x \ 1). [hyper(205,a,729,a),flip(a)]. 769 (x \ 1) \ (x \ T(x * y,z)) = T((x \ 1) \ y,z). [hyper(80,a,729,a)]. 770 (x \ 1) * T((x \ 1) \ 1,y) = x \ T(x,y). [para(15(a,1),729(a,2,2,1))]. 771 (x \ 1) * T((x \ 1) \ (x \ y),z) = x \ T(y,z). [para(17(a,1),729(a,2,2,1))]. 772 x \ T(x * y,x \ 1) != z | ((x \ 1) \ y) * (x \ 1) = z. [para(729(a,1),205(a,1))]. 773 T(x,y) * (x \ 1) = x \ T(x,y). [hyper(189,a,326,a(flip),b,770,a(flip)),flip(a)]. 774 T(x,y) * R(T(x,y) \ 1,T(x,y),x \ 1) = ((x \ 1) / (x \ T(x,y))) * T(x,y). [para(773(a,1),522(a,1,1,2)),flip(a)]. 775 (x * y) \ (y * (x \ T(x,y))) = L(x \ 1,T(x,y),y). [para(773(a,1),153(a,1,2,2))]. 776 T(x * (y \ 1),z) / (y \ 1) = y * T(y \ x,z). [hyper(189,a,323,a(flip),b,731,a)]. 777 T(((1 / x) * y) * x,z) / x = (1 / x) * T(y,z). [hyper(547,a,738,a),flip(a)]. 778 (1 / x) * T((1 / x) \ y,z) = T(y * x,z) / x. [hyper(544,a,738,a)]. 779 T(x * y,1 / y) / y = ((1 / y) \ x) * (1 / y). [para(115(a,1),738(a,1,1)),flip(a)]. 780 T((x * T(y,x)) / x,T(y,x) \ 1) = T(y,1 / T(y,x)). [para(143(a,1),757(a,1,1)),flip(a)]. 781 ((1 / x) \ y) \ ((1 / x) \ T(y,x)) = K(x \ ((1 / x) \ y),x). [para(766(a,1),320(a,1,2))]. 782 x \ T(x * y,x \ 1) = (x \ 1) \ (y / x). [hyper(189,a,478,a(flip),b,768,a)]. 783 ((x \ 1) \ (x \ y)) * (x \ 1) = x \ T(y,x \ 1). [para(17(a,1),768(a,1,2,1)),flip(a)]. 784 (x \ 1) * (x \ T(x * y,x \ 1)) = y / x. [para(782(a,2),17(a,1,2))]. 785 (x \ 1) * T((x \ 1) \ y,z) != u | x \ T(x * y,z) = u. [para(769(a,1),203(a,1,2)),flip(b)]. 786 (x \ T(y,z)) / (x \ 1) = T((x \ y) / (x \ 1),z). [hyper(76,a,771,a(flip),b,323,a)]. 787 (x \ T(y,x \ 1)) / (x \ 1) = (x \ 1) \ (x \ y). [hyper(76,a,771,a(flip),b,113,a(flip))]. 788 T(x * ((y \ 1) \ 1),z) / ((y \ 1) \ 1) = y \ T(y * x,z). [hyper(189,a,729,a(flip),b,776,a)]. 789 T(x \ 1,y) / (x \ 1) = x * T(x \ 1,y). [para(14(a,1),776(a,1,1,1))]. 790 x * T(x \ (y / (x \ 1)),z) = T(y,z) / (x \ 1). [para(19(a,1),776(a,1,1,1)),flip(a)]. 791 T(((1 / x) * y) * x,z) = ((1 / x) * T(y,z)) * x. [para(777(a,1),19(a,1,1)),flip(a)]. 792 (1 / x) * T((1 / x) \ 1,y) = T(x,y) / x. [para(61(a,1),777(a,1,1,1)),flip(a)]. 793 (1 / x) * T(x,y) = T(x,y) / x. [para(68(a,1),777(a,1,1,1)),flip(a)]. 794 T(x,y) \ (T(x,y) / x) = T(1 / x,T(x,y)). [hyper(147,a,793,a,b,17,a),flip(a)]. 795 (T(x,y) / x) / T(x,y) = 1 / x. [hyper(88,a,793,a)]. 796 T(x,x \ y) / x = (1 / x) * ((x \ y) \ y). [hyper(189,a,220,a(flip),b,793,a(flip))]. 797 (T(x,y) / x) / (1 / x) = T(1 / (1 / x),y). [hyper(76,a,793,a(flip),b,327,a)]. 799 T((T(x,y) * (1 / x)) / T(x,y),T(x,y) / x) = L(1 / x,T(x,y),1 / x). [para(793(a,1),563(a,1,2))]. 801 L(x \ 1,x,T(x,y) / x) = T(1 / x,T(x,y)). [hyper(537,a,794,a)]. 802 (1 / x) * ((x \ y) \ y) = ((x \ y) \ y) / x. [para(114(a,1),796(a,1,1)),flip(a)]. 803 ((x \ y) / (y / x)) / (1 / (y / x)) = T(1 / (1 / (y / x)),x). [para(115(a,1),797(a,1,1,1))]. 804 ((1 / x) \ (y / x)) * (1 / x) = T(y,1 / x) / x. [para(19(a,1),779(a,1,1,1)),flip(a)]. 805 (x \ R(T(y,x \ 1),z,u)) / (x \ 1) = (x \ 1) \ (x \ R(y,z,u)). [para(45(a,2),787(a,1,1,2))]. 806 (x \ (y / (x \ 1))) * x = T(y,x) / (x \ 1). [hyper(205,a,790,a)]. 807 T(((1 / x) * y) * x,z) != u * x | (1 / x) * T(y,z) = u. [para(791(a,2),23(a,1))]. 808 K(x,1 / x) \ (x * (T(x,y) / x)) = L(T(x,y),1 / x,x). [para(793(a,1),231(a,1,2,2))]. 809 (x * y) * R((x * y) \ (x * z),u,w) = x * (y * R(y \ z,u,w)). [para(104(a,1),351(a,1,2,1))]. 810 (x * y) * R((x * y) \ z,u,w) = x * (y * R(y \ (x \ z),u,w)). [para(183(a,1),351(a,1,2,1))]. 811 (x * y) * L((x * y) \ z,u,w) = x * (y * L(y \ (x \ z),u,w)). [para(183(a,1),352(a,1,2,1))]. 812 (x * y) * L(T(x,x * y),z,u) = x * (y * L(T(x,y),z,u)). [para(554(a,1),352(a,1,2,1))]. 813 K(x \ 1,x) * L(x \ y,x,x \ 1) = (x \ 1) * y. [hyper(189,a,89,a(flip),b,354,a)]. 814 (L(x,y,z) * u) * w != v5 * (u * w) | L(R(x,u,w),y,z) = v5. [para(381(a,1),23(a,1))]. 815 L((x * y) / (z * y),u,w) * (z * y) = (L(x / z,u,w) * z) * y. [para(111(a,1),381(a,1,1,1))]. 816 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(773(a,1),399(a,1,1,1))]. 817 (x \ 1) * L((x \ 1) \ y,z,u) = x \ L(x * y,z,u). [para(362(a,1),402(a,1,2,1)),flip(a)]. 818 (1 / x) \ L(L(y,x,1 / x),z,u) != x * w | L(y,z,u) = w. [para(403(a,2),22(a,1))]. 819 (1 / x) \ L(1 / x,y,z) = x * L(x \ 1,y,z). [para(277(a,1),403(a,1,2,1))]. 820 (1 / x) * (x * R(x \ y,z,u)) = R((1 / x) * y,z,u). [hyper(306,a,441,a)]. 821 L(L(T(x \ 1,x),x,y),y * x,1 / (y * x)) = R((1 / (y * x)) * y,x,x \ 1). [para(706(a,1),441(a,1,1))]. 822 (1 / x) * (x * L(x \ y,z,u)) = L((1 / x) * y,z,u). [hyper(306,a,442,a)]. 823 (x \ 1) * R((x \ 1) \ y,z,u) = x \ R(x * y,z,u). [hyper(75,a,444,a(flip),b,166,a),flip(a)]. 824 L(x * (y \ 1),z,u) / (y \ 1) = L(x / y,z,u) * y. [hyper(76,a,463,a(flip),b,369,a)]. 825 L(T(T((x \ y) \ z,u),w),x \ y,x) = T(T(y \ (x * z),u),w). [para(582(a,1),43(a,2,1))]. 826 x * ((x \ y) * T((x \ y) \ z,u)) = y * T(y \ (x * z),u). [para(582(a,1),344(a,1,2)),flip(a)]. 827 R(x / (1 / y),z,u) * (1 / y) = R(x * y,z,u) / y. [para(593(a,1),594(a,1,1,1)),flip(a)]. 828 (x / y) * R((x / y) \ z,x / y,y) != u | ((z * y) / x) * (x / y) = u. [para(598(a,2),205(a,1,2))]. 829 (x * ((y \ x) / x)) / (y \ x) = ((x * (1 / y)) / x) * y. [para(286(a,1),672(a,1,1,2))]. 830 ((x / y) * (y / ((x / y) * y))) / (x / y) = (((x / y) * (1 / (x / y))) * y) / x. [hyper(189,a,391,a(flip),b,695,a(flip))]. 831 ((x * (y / (z * y))) / x) * (z * y) = (((x * (1 / z)) / x) * z) * y. [para(695(a,1),110(a,1,1))]. 832 T((x * y) \ ((x * z) * y),x) = R(T(z,x * y),x,y). [para(16(a,1),764(a,1,1,1)),flip(a)]. 833 K(x \ 1,x) * y != (x \ 1) * z | L(x \ z,x,x \ 1) = y. [para(813(a,1),22(a,1)),flip(a)]. 834 x * R(T(y,y * x),z,u) = L(R(y,z,u),x,y) * x. [para(558(a,1),501(a,1,2))]. 835 R(T(x,x \ y),z,u) = R((x \ y) \ y,z,u). [hyper(20,a,160,a,b,513,a),flip(a)]. 836 x \ R(T(y,y \ z),u,w) = x \ R((y \ z) \ z,u,w). [hyper(75,a,835,a,b,17,a)]. 838 (x * y) * T((x * y) \ (x * z),u) != w | x * (y * T(y \ z,u)) = w. [para(104(a,1),641(a,1,2,1))]. 840 (x / y) \ (x * T(x \ (x / y),z)) = y * T(y \ 1,z). [hyper(80,a,722,a)]. 841 (x / y) \ (x * T(x \ (x / y),z)) != u | y * T(y \ 1,z) = u. [para(722(a,1),237(a,1,2)),flip(b)]. 842 (x / y) * K(y \ 1,y) = x * T(x \ (x / y),y). [para(229(a,1),722(a,1,2))]. 843 (T(1 / x,y) * x) * (x \ z) = z * T(z \ (x \ z),y). [hyper(544,a,724,a),flip(a)]. 844 K((x * y) \ x,x * y) = y * T(y \ 1,x * y). [hyper(334,a,732,a)]. 845 K((x * y) \ x,x * y) / y = T(1 / y,x * y). [hyper(76,a,844,a,b,323,a)]. 846 (((1 / x) * y) * x) * (x \ 1) = x \ y. [hyper(189,a,471,a(flip),b,755,a)]. 847 (x \ y) / (x \ 1) = ((1 / x) * y) * x. [hyper(76,a,471,a(flip),b,755,a)]. 848 x \ ((1 / x) \ y) = (y * x) * (x \ 1). [para(17(a,1),846(a,1,1,1)),flip(a)]. 851 x \ ((1 / x) \ y) = R(y,x,x \ 1). [hyper(189,a,369,a(flip),b,848,a)]. 852 x * ((y * x) * (x \ 1)) = (1 / x) \ y. [para(848(a,1),17(a,1,2))]. 853 T(x,1 / T(x,y)) = T(x,T(x,y) \ 1). [para(143(a,1),780(a,1,1)),flip(a)]. 854 (x \ 1) * L((x \ 1) \ 1,y,z) = x \ L(x,y,z). [para(15(a,1),817(a,2,2,1))]. 855 (1 / x) * (x * R(x \ 1,y,z)) = R(1 / x,y,z). [para(15(a,1),820(a,2,1))]. 856 (1 / x) * (((y * (x \ z)) / z) * x) = R((1 / x) * y,x,x \ z). [para(740(a,2),820(a,1,2))]. 857 (1 / x) \ R(1 / x,y,z) = x * R(x \ 1,y,z). [hyper(80,a,855,a)]. 858 (x / y) * R((x / y) \ 1,x / y,y) = (1 / (x / y)) \ (y / x). [hyper(75,a,287,a(flip),b,855,a),flip(a)]. 859 (1 / x) \ R(1 / x,y,z) != u | x * R(x \ 1,y,z) = u. [para(855(a,1),237(a,1,2)),flip(b)]. 860 (1 / x) * ((y / (x * y)) * x) = R(1 / x,x,y). [para(522(a,2),855(a,1,2))]. 861 ((x \ y) / y) / (((x \ y) / (x * (x \ y))) * x) = 1 / x. [hyper(76,a,286,a(flip),b,860,a)]. 862 (x / (y * x)) / ((x / (y * x)) * y) = 1 / y. [hyper(76,a,141,a(flip),b,860,a)]. 863 ((x / (y * x)) * y) \ (x / (y * x)) = T(1 / y,(x / (y * x)) * y). [para(862(a,1),115(a,1,1)),flip(a)]. 864 L((1 / x) * (y * x),z,u) = (1 / x) * (L(y,z,u) * x). [para(500(a,1),822(a,1,2)),flip(a)]. 865 (x \ 1) * R((x \ 1) \ 1,y,z) = x \ R(x,y,z). [para(15(a,1),823(a,2,2,1))]. 866 x \ R(x * (y * (x \ 1)),z,u) = (x \ 1) * R(T(y,x \ 1),z,u). [para(35(a,2),823(a,1,2,1)),flip(a)]. 867 R(x,y,z) * (x \ 1) = x \ R(x,y,z). [hyper(189,a,513,a(flip),b,865,a(flip)),flip(a)]. 868 R(x,y,z) \ (x \ R(x,y,z)) = x \ 1. [hyper(75,a,865,a(flip),b,513,a(flip))]. 869 ((1 / x) * R(x,y,z)) * x = R(x,y,z). [hyper(21,a,846,a,b,867,a),flip(a)]. 870 (x \ R(x,y,z)) / R(T(x,x \ 1),y,z) = x \ 1. [hyper(76,a,867,a(flip),b,160,a)]. 871 (x \ R(x,y,z)) * K(x \ 1,R(x,y,z)) = (x \ 1) * R(x,y,z). [para(867(a,1),95(a,1,1))]. 872 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(867(a,1),522(a,1,1,2)),flip(a)]. 873 T((R(x,y,z) * (1 / x)) / R(x,y,z),x) = (x \ R(x,y,z)) / R(x,y,z). [para(867(a,1),546(a,2,1))]. 875 (1 / x) * R(x,y,z) = R(x,y,z) / x. [hyper(88,a,869,a),flip(a)]. 876 R(x \ 1,y,z) / (x \ 1) = x * R(x \ 1,y,z). [hyper(456,a,875,a),flip(a)]. 877 R(x,y,z) \ (R(x,y,z) / x) = T(1 / x,R(x,y,z)). [hyper(147,a,875,a,b,17,a),flip(a)]. 878 (R(x,y,z) / x) / R(x,y,z) = 1 / x. [hyper(88,a,875,a)]. 879 R(x,y,z) / x != R(x,y,z) * u | T(1 / x,R(x,y,z)) = u. [para(875(a,1),148(a,2)),flip(a)]. 880 L(R(x,y,z) \ u,R(x,y,z),1 / x) = (R(x,y,z) / x) \ ((1 / x) * u). [para(875(a,1),104(a,2,1))]. 881 (1 / x) * R(x,y,z) != u | R(x,y,z) / x = u. [para(878(a,1),200(a,1,1)),flip(b)]. 882 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(877(a,1),587(a,1,1,2))]. 883 L(x * (y \ 1),z,u) / (y \ 1) = y * L(y \ x,z,u). [hyper(189,a,502,a(flip),b,824,a)]. 884 (1 / x) * R((1 / x) \ y,z,u) = R(y * x,z,u) / x. [hyper(679,a,827,a)]. 885 (x * ((y \ x) / x)) / (y \ x) = y * ((x * (y \ 1)) / x). [hyper(189,a,680,a(flip),b,829,a)]. 886 K(x \ (x / y),x) = y * T(y \ 1,x). [hyper(575,a,840,a)]. 887 x \ K(y \ (y / x),y) = T(x \ 1,y). [hyper(75,a,320,a(flip),b,840,a(flip))]. 888 x * T(x \ 1,y) != z | K(y \ (y / x),y) = z. [para(840(a,1),575(a,1))]. 889 K(x \ (x / (1 / y)),x) = T(y,x) / y. [hyper(189,a,792,a(flip),b,886,a)]. 890 K(x \ (x / (y \ 1)),x) = y \ T(y,x). [hyper(189,a,770,a(flip),b,886,a)]. 891 K(x \ (x / y),x) / y = T(1 / y,x). [hyper(76,a,886,a,b,323,a)]. 892 (x \ y) \ K(y \ x,y) = T((x \ y) \ 1,y). [para(67(a,1),887(a,1,2,1,2))]. 894 T(x,y) = K(y \ (y / (1 / x)),y) * x. [para(889(a,2),19(a,1,1)),flip(a)]. 895 K(x \ (x / (1 / (y / (x * y)))),x) = R(x \ 1,x,y) / (y / (x * y)). [para(517(a,1),889(a,2,1))]. 896 K(x \ (x / ((y / x) \ 1)),x) = (y / x) \ (x \ y). [para(115(a,1),890(a,2,2))]. 897 K(x \ (x / (((x * y) / x) \ 1)),x) = ((x * y) / x) \ y. [para(142(a,1),890(a,2,2))]. 898 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(876(a,1),890(a,1,1,2))]. 899 T(x,y) / x != z | K(y \ (y / (1 / x)),y) = z. [para(894(a,2),248(a,1,1)),flip(b)]. 900 T(((x * y) \ x) \ 1,x) = ((x * y) \ x) \ K(y,x). [para(16(a,1),892(a,1,2,1)),flip(a)]. 901 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(868(a,1),896(a,2,2))]. 902 T(((x * y) \ x) \ 1,x) = L(y \ 1,y,x) \ K(y,x). [hyper(189,a,573,a,b,900,a)]. 903 K(x,y) = ((y * x) \ y) * T(((y * x) \ y) \ 1,y). [para(900(a,2),17(a,1,2)),flip(a)]. 905 T(L(x \ 1,x,y) \ 1,y) = ((y * x) \ y) \ K(x,y). [para(140(a,2),900(a,1,1,1))]. 906 K(x,y) = L(x \ 1,x,y) * T(L(x \ 1,x,y) \ 1,y). [para(905(a,2),312(a,1,2)),flip(a)]. 907 (((x * y) \ x) \ K(y,x)) / (L(y \ 1,y,x) \ 1) = L(y \ 1,y,x) * T(L(y \ 1,y,x) \ 1,x). [para(905(a,1),789(a,1,1))]. 908 ((x \ 1) * x) * (x \ y) = y * T(y \ (x \ y),x). [para(115(a,1),843(a,1,1,1))]. 909 (x * T(x \ 1,y)) * (x \ z) = z * T(z \ (x \ z),y). [para(323(a,1),843(a,1,1))]. 910 K(x \ 1,x) * (x \ y) = y * T(y \ (x \ y),x). [para(165(a,2),908(a,1,1))]. 911 ((x \ y) / y) / (((x \ y) / y) * x) = 1 / x. [para(17(a,1),861(a,1,2,1,2))]. 912 (1 / x) \ ((x \ y) / y) = ((x \ y) / y) * x. [para(911(a,1),69(a,1,1))]. 914 L(x * y,z,u) / ((1 / y) \ 1) = (1 / y) * L((1 / y) \ x,z,u). [para(69(a,1),883(a,1,1,1,2))]. 915 (1 / x) * R((1 / x) \ 1,y,z) = R(x,y,z) / x. [para(14(a,1),884(a,2,1,1))]. 916 T((x * y) / x,K(x \ (x / (((x * y) / x) \ 1)),x)) != z | (((x * y) / x) \ y) \ y = z. [para(897(a,2),315(a,1,2))]. 917 (x * T(x \ (y \ x),z)) / (y \ x) != u | y * T(y \ 1,z) = u. [para(909(a,1),248(a,1,1)),flip(b)]. 918 (x \ T(x,y)) * ((x \ 1) \ z) = z * T(z \ ((x \ 1) \ z),y). [para(770(a,1),909(a,1,1))]. 919 ((x \ 1) * L((x \ 1) \ y,z,u)) * T(x,x \ 1) = R(L(y / (x \ 1),z,u),x \ 1,(x \ 1) \ 1). [para(502(a,1),448(a,1,1))]. 921 x * (y * R(T(x,y),z,u)) = R(x,z,u) * (x * y). [hyper(189,a,351,a(flip),b,560,a(flip)),flip(a)]. 922 R(x,y,z) * (x * u) = x * (R(x,y,z) * u). [para(160(a,1),921(a,1,2)),flip(a)]. 923 (R(x,y,z) * u) / (R(x,y,z) * (x \ u)) = x. [hyper(424,a,922,a)]. 924 x * (R(x,y,z) * (x \ u)) = R(x,y,z) * u. [hyper(254,a,922,a),flip(a)]. 925 x * (R(x,y,z) \ 1) = R(x,y,z) \ x. [hyper(75,a,62,a(flip),b,922,a),flip(a)]. 927 x * (R(x,y,z) * T(u,x)) = R(x,y,z) * (u * x). [para(113(a,1),922(a,1,2)),flip(a)]. 928 (R(x,y,z) * u) \ (x * (R(x,y,z) * u)) = L(T(x,u),u,R(x,y,z)). [para(922(a,1),154(a,1,2))]. 929 L(R(x,y,z) \ 1,x,1 / x) = (1 / x) * (R(x,y,z) \ x). [para(925(a,1),169(a,1,2)),flip(a)]. 930 R(x,y,x) * T(y,x) = T(x * y,x). [hyper(147,a,110,a(flip),b,927,a),flip(a)]. 931 x * ((x \ y) * L((x \ y) \ z,u,w)) = y * L(y \ (x * z),u,w). [para(359(a,1),576(a,1,2,1)),flip(a)]. 932 (x / y) * (y * L(y \ 1,z,u)) = x * L(x \ (x / y),z,u). [para(279(a,1),580(a,1,2,1)),flip(a)]. 933 (x / y) * (y * L(y \ z,u,w)) = x * L(x \ ((x / y) * z),u,w). [para(364(a,1),580(a,1,2,1)),flip(a)]. 934 x * ((x \ y) * R((x \ y) \ z,u,w)) = y * R(y \ (x * z),u,w). [para(583(a,1),344(a,1,2)),flip(a)]. 935 (x * y) * R(T(y,x),z,u) = (R(y,z,u) * x) * y. [hyper(189,a,382,a(flip),b,617,a(flip))]. 936 (x * y) * ((z * ((x * y) \ u)) / z) = x * (y * ((z * (y \ (x \ u))) / z)). [para(691(a,1),102(a,1,2))]. 938 (x / y) * (y * ((z * (y \ 1)) / z)) = x * ((z * (x \ (x / y))) / z). [para(692(a,1),345(a,1,2)),flip(a)]. 939 (1 / x) \ ((y * ((1 / x) * z)) / y) = x * ((y * (x \ z)) / y). [hyper(75,a,693,a(flip),b,169,a)]. 940 (x * y) * T((x * y) \ (y * z),u) = y * (T(x,y) * T(T(x,y) \ z,u)). [para(715(a,1),353(a,1,2))]. 941 (x / y) \ T(x,(x / y) \ 1) != z | (((x / y) \ 1) \ y) * ((x / y) \ 1) = z. [para(19(a,1),772(a,1,2,1))]. 942 (x \ 1) \ (y / x) != z | ((x \ 1) \ y) * (x \ 1) = z. [para(782(a,1),772(a,1))]. 943 ((x * y) * (z * u)) / ((y * z) * L(u,z,x * y)) = R(R(x,y,z),y * z,L(u,z,x * y)). [para(102(a,1),378(a,1,1))]. 944 x * L(T(T((y \ x) \ x,z),u),y \ x,y) = y * (T(T(y,z),u) * (y \ x)). [para(534(a,1),344(a,2,2))]. 945 ((((x * y) / x) \ z) \ z) * x != x * u | T(y,((x * y) / x) \ z) = u. [para(543(a,2),22(a,1))]. 946 (x \ (y / (x \ 1))) * x = ((x \ 1) * y) * (x * x). [para(67(a,1),636(a,1,2,1)),flip(a)]. 948 (x * y) * R((x * y) \ (x * z),u,w) != v5 | x * (y * R(y \ z,u,w)) = v5. [para(104(a,1),642(a,1,2,1))]. 951 (x * y) * T((x * y) \ (z * y),u) = (T(z / x,u) * x) * y. [hyper(544,a,718,a)]. 952 T(1 / (1 / x),x \ 1) = x. [hyper(628,a,744,a)]. 953 T(T(1 / (1 / x),y),x \ 1) = T(x,y). [para(952(a,1),41(a,1,1)),flip(a)]. 954 T(1 / (1 / (1 / x)),x) = 1 / x. [para(69(a,1),952(a,1,2))]. 955 (1 / (1 / (1 / x))) * x = x * (1 / x). [para(954(a,1),113(a,1,2)),flip(a)]. 957 ((x * (y / (y / T(z,x)))) / x) \ ((y / T(z,x)) * z) = y / T(z,x). [para(143(a,1),762(a,1,2,2))]. 958 (((x * y) \ y) / (y / (x * y))) / (1 / (y / (x * y))) = T(1 / (1 / R(1 / x,x,y)),x * y). [para(141(a,2),803(a,2,1,2,2))]. 959 x * (y * L(T(x,y),z,u)) = L(x,z,u) * (x * y). [hyper(303,a,812,a),flip(a)]. 960 L(x,y,z) * (x * u) = x * (L(x,y,z) * u). [para(159(a,1),959(a,1,2)),flip(a)]. 961 x \ (L(x,y,z) * u) = L(x,y,z) * (x \ u). [hyper(432,a,960,a)]. 962 L(x,y,z) * (x \ 1) = x \ L(x,y,z). [hyper(299,a,960,a),flip(a)]. 963 L(x,y,z) \ (x * u) = x * (L(x,y,z) \ u). [hyper(75,a,89,a(flip),b,960,a)]. 964 x * (L(x,y,z) \ 1) = L(x,y,z) \ x. [hyper(75,a,62,a(flip),b,960,a),flip(a)]. 965 ((x * y) * L(x,z,u)) \ (x * (L(x,z,u) * y)) = K(L(x,z,u),x * y). [hyper(75,a,960,a(flip),b,95,a)]. 967 (L(x,y,z) * u) \ (x * (L(x,y,z) * u)) = L(T(x,u),u,L(x,y,z)). [para(960(a,1),154(a,1,2))]. 968 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(962(a,1),522(a,1,1,2)),flip(a)]. 969 (L(x,y,z) \ x) \ ((L(x,y,z) \ 1) * x) = K(L(x,y,z) \ 1,x). [para(964(a,1),29(a,2,1)),flip(a)]. 970 L(x \ 1,y,z) \ K(x \ 1,x) = (x \ 1) * (L(x \ 1,y,z) \ x). [para(165(a,2),963(a,1,2))]. 971 x \ (y * T(y \ (x * z),u)) = (x \ y) * T((x \ y) \ z,u). [hyper(80,a,826,a)]. 972 x * ((x \ y) * T((x \ y) \ 1,z)) = y * T(y \ x,z). [para(15(a,1),826(a,2,2,1,2))]. 973 x * T(x \ (y * x),z) = y * (T(y,z) * (y \ x)). [para(326(a,1),826(a,1,2)),flip(a)]. 974 x * (T(x,y) * (x \ z)) = T(x,y) * z. [hyper(571,a,973,a),flip(a)]. 975 x \ (T(x,y) * z) = T(x,y) * (x \ z). [hyper(541,a,973,a)]. 976 (T(x,y) * z) / (T(x,y) * (x \ z)) = x. [hyper(76,a,322,a(flip),b,973,a(flip))]. 977 x \ (T(x,y) * T(x,z)) = T(x,z) * (x \ T(x,y)). [hyper(75,a,324,a,b,974,a)]. 978 T(x,y) * (x \ (T(x,y) \ z)) = x \ z. [hyper(75,a,17,a(flip),b,974,a),flip(a)]. 979 T(x,y) * (x * z) = x * (T(x,y) * z). [para(16(a,1),974(a,1,2,2)),flip(a)]. 980 T(x,y) * z != x * u | T(x,y) * (x \ z) = u. [para(974(a,1),22(a,1))]. 981 x * (T(x,y) * T(z,x)) = T(x,y) * (z * x). [para(35(a,2),974(a,1,2,2))]. 982 (x / y) * (T(x / y,z) * y) = T(x / y,z) * x. [para(69(a,1),974(a,1,2,2))]. 983 x \ (T(x,y) * z) != u | T(x,y) * (x \ z) = u. [para(974(a,1),237(a,1,2)),flip(b)]. 984 x \ (T(x,y) \ x) = T(x,y) \ 1. [hyper(413,a,975,a),flip(a)]. 985 x \ (T(x,x \ y) * z) = ((x \ y) \ y) * (x \ z). [hyper(189,a,219,a(flip),b,975,a)]. 986 L((T(x,y) * (x \ y)) / y,y,x) = (y * K(T(x,y),y)) / y. [para(975(a,1),743(a,1,1,1))]. 987 x * (T(x,y) \ 1) = T(x,y) \ x. [para(984(a,1),17(a,1,2))]. 988 (T(x,y) \ x) / (T(x,y) \ 1) = x. [para(984(a,1),67(a,1,2))]. 989 x * (T(x,y) \ 1) != z | T(x,y) \ x = z. [para(984(a,1),203(a,1,2)),flip(b)]. 992 (T(x,y) \ x) / T(x,T(x,y) \ 1) = T(x,y) \ 1. [hyper(76,a,987,a(flip),b,113,a)]. 993 (1 / T(x,y)) * x = x / T(x,y). [hyper(76,a,988,a(flip),b,847,a(flip)),flip(a)]. 994 (T(x,y) \ T(x,z)) / (T(x,y) \ 1) = T(x,z). [para(988(a,1),786(a,2,1))]. 995 T(1 / T(x,y),x) = x \ (x / T(x,y)). [hyper(147,a,993,a,b,17,a)]. 997 T(x,y) \ (x \ z) = x \ (T(x,y) \ z). [hyper(80,a,978,a)]. 998 T(x,y) * (x * (T(x,y) \ z)) = x * z. [hyper(189,a,89,a(flip),b,979,a)]. 999 T(T(x,y),x * (T(x,y) \ z)) = (x * (T(x,y) \ z)) \ (x * z). [hyper(147,a,979,a,b,211,a)]. 1000 T(x,y) \ (x * z) = x * (T(x,y) \ z). [hyper(75,a,89,a(flip),b,979,a)]. 1002 (x / y) * (T(x / y,y) * z) = (y \ x) * ((x / y) * z). [para(115(a,1),979(a,1,1)),flip(a)]. 1004 K(x \ (x / (1 / (1 / T(x,y)))),x) * (1 / T(x,y)) = x \ (x / T(x,y)). [hyper(189,a,894,a(flip),b,995,a(flip)),flip(a)]. 1005 T(x,y) * T(T(x,y) \ 1,x) = (x \ (x / T(x,y))) * T(x,y). [para(995(a,1),323(a,1,1)),flip(a)]. 1006 x * (T(x,y) \ (x \ z)) != u | T(x,y) \ z = u. [para(997(a,2),203(a,1,2)),flip(b)]. 1007 T(x,y) * (x \ (T(x,y) \ z)) != u * w | (x \ z) / w = u. [para(997(a,1),298(a,1,2))]. 1008 x * (T(x,y) \ y) = T(y,T(x,y)). [hyper(292,a,998,a),flip(a)]. 1009 T(x,y) \ K(x,1 / x) = x * (T(x,y) \ (1 / x)). [hyper(75,a,168,a,b,998,a)]. 1010 x * (T(x,y) \ ((x \ T(x,y)) * z)) = L(z,x \ T(x,y),x). [hyper(20,a,344,a,b,998,a)]. 1011 x * (T(x,y) \ (T(x,y) / x)) = K(x,T(x,y) / x). [hyper(20,a,214,a,b,998,a)]. 1012 T(x,y) \ (x * z) != u | x * (T(x,y) \ z) = u. [para(998(a,1),237(a,1,2)),flip(b)]. 1013 (x / y) * ((y \ x) \ y) = T(y,T(x / y,y)). [para(115(a,1),1008(a,1,2,1))]. 1014 T(T(x,y * x) * y,x) = T(x,y) * T(y,x). [hyper(147,a,619,a,b,981,a)]. 1015 T(x,y) * T(T(x,y) \ x,x) = L(x,T(x,y) \ x,T(x,y)). [hyper(20,a,344,a,b,981,a)]. 1017 (1 / T(x,y)) * T(x,z) = T(x,z) / T(x,y). [hyper(76,a,994,a(flip),b,847,a(flip)),flip(a)]. 1018 T(x,y) * (T(x,z) \ 1) = T(x,z) \ T(x,y). [para(994(a,1),19(a,1,1))]. 1019 (x / y) * ((y \ x) \ y) = T(y,y \ x). [para(115(a,1),1013(a,2,2))]. 1020 ((x * y) / x) * (y \ x) = T(x,x \ (x * y)). [para(16(a,1),1019(a,1,2,1))]. 1021 T(x,1 / T(x,y)) / T(x,y) = x * (1 / T(x,y)). [hyper(205,a,1017,a),flip(a)]. 1022 T(x,y) \ (T(x,y) / T(x,z)) = T(1 / T(x,z),T(x,y)). [hyper(147,a,1017,a,b,17,a),flip(a)]. 1023 (T(x,y) / T(x,z)) / T(x,y) = 1 / T(x,z). [hyper(88,a,1017,a)]. 1025 T(x / y,z) \ T(x / y,y) = (y \ x) * (T(x / y,z) \ 1). [para(115(a,1),1018(a,1,1)),flip(a)]. 1027 T(x,y) = ((x * y) / x) * (y \ x). [para(16(a,1),1020(a,2,2)),flip(a)]. 1028 T(x,y) / (y \ x) = (x * y) / x. [hyper(76,a,1027,a,b,xx)]. 1029 T((x * y) / x,y \ x) = (y \ x) \ T(x,y). [hyper(75,a,1027,a,b,113,a),flip(a)]. 1030 ((x * y) / x) \ T(x,y) = y \ x. [hyper(75,a,1027,a,b,xx)]. 1031 (x / (x / y)) * (y \ (x / y)) = T(x / y,y). [para(19(a,1),1027(a,2,1,1)),flip(a)]. 1032 ((x * (x / y)) / x) * y = T(x,x / y). [para(69(a,1),1027(a,2,2)),flip(a)]. 1033 ((x * R(y,y \ 1,x)) / x) * ((y \ 1) * x) = T(x,R(y,y \ 1,x)). [para(313(a,1),1027(a,2,2)),flip(a)]. 1034 R(x \ ((y * z) / y),x,z \ y) = T(T(y,z) / (x * (z \ y)),x). [para(1027(a,2),518(a,1,1,1)),flip(a)]. 1035 ((x * y) * x) / (x * y) = T(x * y,x) / y. [para(16(a,1),1028(a,1,2)),flip(a)]. 1038 (x \ y) \ K(T(y,x) \ ((y * x) / y),T(y,x)) = T((x \ y) \ 1,T(y,x)). [para(1028(a,1),887(a,1,2,1,2))]. 1039 x * ((y * (x \ y)) / y) = T(y,y / x). [hyper(761,a,1032,a)]. 1040 x \ T(y,y / x) = (y * (x \ y)) / y. [hyper(75,a,1032,a(flip),b,680,a(flip))]. 1041 T(x,x / y) != z | y * ((x * (y \ x)) / x) = z. [para(1032(a,1),761(a,1))]. 1042 (x / y) * ((x * y) / x) = T(x,x / (x / y)). [para(69(a,1),1039(a,1,2,1,2))]. 1043 (x * y) * L((x \ y) / y,y,x) = T(y,y / (x * y)). [para(675(a,2),1039(a,1,2))]. 1044 x * ((y * (x \ y)) / y) != z | T(y,y / x) = z. [para(1040(a,1),203(a,1,2)),flip(b)]. 1045 x * ((y * (x \ y)) / y) != z * u | z \ T(y,y / x) = u. [para(1040(a,1),301(a,1,2))]. 1046 T((x \ y) \ T(y,x),y) = T(x,x \ y). [para(1029(a,1),176(a,1,1))]. 1047 T((x \ y) \ T(y,x),x * y) = L(T(x,x \ y),y,x). [para(1029(a,1),736(a,1,1))]. 1048 T((x \ y) \ T(y,x),y) = (x \ y) \ y. [hyper(189,a,114,a(flip),b,1046,a)]. 1049 (x * y) / ((x * y) / x) = y / (x \ ((x * y) / x)). [hyper(76,a,142,a(flip),b,1031,a),flip(a)]. 1050 T(T(x * y,x) / y,x * y) = x. [para(1035(a,1),142(a,1,1))]. 1051 T(T(x * y,x) / y,y) = R(x,y,T(x,y)). [para(1035(a,1),703(a,1,1))]. 1052 T(T(R(x,y,y \ 1),x * y) / (y \ 1),(x * y) * (y \ 1)) = x * y. [para(369(a,1),1050(a,1,1,1,1))]. 1053 x \ T(y * x,y) = R(y,x,T(y,x)). [hyper(307,a,1051,a)]. 1054 x * R(y,x,T(y,x)) = T(y * x,y). [para(1051(a,1),146(a,1,2))]. 1055 R(x,y,T(x,y)) != z | y \ T(x * y,x) = z. [para(1051(a,1),307(a,1))]. 1056 L(R(x,y,T(x,y)),y,x) = x. [para(1053(a,1),360(a,1,1))]. 1057 T(x,x / (x / T(y,x))) = (x / T(y,x)) * y. [para(143(a,1),1042(a,1,2)),flip(a)]. 1059 T(x,y) \ K(x,1 / x) != z | x * (T(x,y) \ (1 / x)) = z. [para(168(a,2),1012(a,1,2))]. 1060 T(x,T(y,x)) != z | y * (T(y,x) \ x) = z. [para(157(a,1),1012(a,1))]. 1061 T(x,y) * (x \ T(x,z)) != u | T(x,z) * (x \ T(x,y)) = u. [para(977(a,1),983(a,1))]. 1062 (x / y) * (y * T(y \ x,z)) = T(x / y,z) * x. [para(323(a,1),982(a,1,2))]. 1063 x \ (((x \ y) \ y) * z) = ((x \ y) \ y) * (x \ z). [para(114(a,1),985(a,1,2,1))]. 1064 x * T(1 / x,T(x,y)) = K(x,T(x,y) / x). [para(794(a,1),1011(a,1,2))]. 1065 T(x,T(x,y) \ 1) / T(x,y) = x * (1 / T(x,y)). [para(853(a,1),1021(a,1,1))]. 1067 T(x / y,z) * u != (x / y) * (y * T(y \ x,z)) | u = x. [para(1062(a,2),22(a,2))]. 1069 x * (y * ((x \ y) / y)) = T(y,y / (x * y)). [hyper(207,a,1043,a)]. 1070 T(x,x / (y * x)) != z | y * (x * ((y \ x) / x)) = z. [para(1043(a,1),207(a,1))]. 1071 (x \ y) * T((x \ y) \ 1,z) = x \ (y * T(y \ x,z)). [hyper(80,a,972,a),flip(a)]. 1072 (x \ y) * T((x \ y) \ 1,y) = x \ ((y \ x) * y). [hyper(75,a,113,a(flip),b,972,a),flip(a)]. 1073 x * T(x \ y,y \ x) = y * K((y \ x) \ 1,y \ x). [para(229(a,1),972(a,1,2)),flip(a)]. 1074 x * T(x \ y,z) = y * K(z \ (z / (y \ x)),z). [para(886(a,2),972(a,1,2)),flip(a)]. 1075 K(x \ (x / (y \ z)),x) = y \ (z * T(z \ y,x)). [hyper(426,a,1074,a),flip(a)]. 1076 T(x * y,z) / y = x * K(z \ (z / (x \ (1 / y))),z). [hyper(189,a,778,a(flip),b,1074,a(flip)),flip(a)]. 1077 (x \ y) * K(z \ (z / ((x \ y) \ (x \ 1))),z) = x \ T(y,z). [hyper(189,a,771,a(flip),b,1074,a(flip))]. 1078 (x * y) * K(z \ (z / ((x * y) \ x)),z) = x * T(y,z). [para(16(a,1),1074(a,1,2,1)),flip(a)]. 1079 (x * y) * T((x * y) \ (y * x),z) = (y * x) * K(z \ (z / K(x,y)),z). [para(29(a,2),1074(a,2,2,1,2,2))]. 1080 (x * (y * z)) * T((x * (y * z)) \ (x * y),u) = (x * y) * K(u \ (u / L(z,y,x)),u). [para(31(a,2),1074(a,2,2,1,2,2))]. 1081 K((x * (y \ z)) \ x,x * (y \ z)) = y \ (z * T(z \ y,x * (y \ z))). [para(18(a,1),1075(a,1,1,2))]. 1082 K(x \ (x / (y \ (y / z))),x) = y \ ((y / z) * T(z,x)). [para(69(a,1),1075(a,2,2,2,1))]. 1083 (x / y) * ((y \ x) * z) = (y \ x) * ((x / y) * z). [para(115(a,1),1002(a,1,2,1))]. 1084 (x \ (x * y)) * (((x * y) / x) * z) = ((x * y) / x) * (y * z). [para(142(a,1),1002(a,1,2,1)),flip(a)]. 1085 ((x / y) \ x) * ((x / (x / y)) * z) = (x / (x / y)) * (y * z). [para(164(a,1),1002(a,1,2,1)),flip(a)]. 1086 (x \ y) \ ((y / x) * z) = (y / x) * ((x \ y) \ z). [hyper(432,a,1083,a)]. 1087 (x / y) * ((y \ x) \ ((x / y) \ z)) = (y \ x) \ z. [hyper(431,a,1083,a),flip(a)]. 1088 (x / y) * ((y \ x) \ 1) = (y \ x) \ (x / y). [hyper(299,a,1083,a),flip(a)]. 1089 ((x \ 1) \ 1) / x = (x \ 1) \ (1 / x). [hyper(189,a,802,a(flip),b,1088,a(flip)),flip(a)]. 1090 (x \ 1) \ (1 / x) = K(x,1 / x). [hyper(495,a,1089,a),flip(a)]. 1091 (x \ 1) * K(x,1 / x) = 1 / x. [para(1090(a,1),17(a,1,2))]. 1092 (1 / x) / K(x,1 / x) = x \ 1. [para(1090(a,1),67(a,1,2))]. 1093 R(1 / x,x,1 / x) = x \ 1. [hyper(539,a,1092,a)]. 1094 R(x / (y * x),y,1 / y) = R(y \ 1,y,x). [para(1093(a,1),289(a,1,1)),flip(a)]. 1095 R(x \ 1,x,y) \ (((y / (x * y)) * x) * (1 / x)) = x * (1 / x). [para(1094(a,1),133(a,1,1))]. 1096 K(T(1 / T(x,y),T(x,z)),T(x,z)) / T(x,y) = T(1 / T(x,y),T(x,z)). [para(1022(a,1),891(a,1,1,1))]. 1097 (x / y) * K(z \ (z / ((x / y) \ (1 / y))),z) = T(x,z) / y. [para(19(a,1),1076(a,1,1,1)),flip(a)]. 1098 (x * y) * K(L(y \ 1,y,x) \ 1,L(y \ 1,y,x)) = x * T(y,L(y \ 1,y,x)). [para(319(a,1),1078(a,1,2,1,2))]. 1099 (1 / x) \ ((y * (1 / x)) / y) = x * ((y * (x \ 1)) / y). [para(15(a,1),939(a,1,2,1,2))]. 1100 (x * y) * T((x * y) \ (z * y),u) = (x * T(x \ z,u)) * y. [para(323(a,1),951(a,2,1))]. 1101 (x \ y) * T((x \ y) \ T(y,x),z) = x \ (y * T(x,z)). [para(144(a,1),971(a,1,2,2,1)),flip(a)]. 1102 (x \ y) * (T(y / x,z) \ 1) = T(y / x,z) \ (x \ y). [para(115(a,1),1025(a,1,2)),flip(a)]. 1103 T(x / (y \ x),z) \ ((y \ x) \ x) = ((y \ x) \ x) * (T(y,z) \ 1). [para(67(a,1),1102(a,1,2,1,1)),flip(a)]. 1104 ((x * y) / x) * (y * z) = y * (((x * y) / x) * z). [para(16(a,1),1084(a,1,1)),flip(a)]. 1105 x \ (((y * x) / y) * z) = ((y * x) / y) * (x \ z). [hyper(432,a,1104,a)]. 1106 ((x * y) / x) * (y \ 1) = y \ ((x * y) / x). [hyper(299,a,1104,a),flip(a)]. 1107 ((x * y) / x) \ (y * z) = y * (((x * y) / x) \ z). [hyper(75,a,89,a(flip),b,1104,a)]. 1108 (x \ ((y * x) / y)) / (x \ 1) = (y * x) / y. [hyper(88,a,1106,a)]. 1110 (1 / x) * ((y * x) / y) = ((y * x) / y) / x. [hyper(76,a,1108,a(flip),b,847,a(flip)),flip(a)]. 1111 ((x * (y \ 1)) / x) / (y \ 1) = y * ((x * (y \ 1)) / x). [hyper(456,a,1110,a),flip(a)]. 1112 ((x * y) / x) * (y \ ((((x * y) / x) \ y) * z)) = L(z,((x * y) / x) \ y,(x * y) / x). [hyper(577,a,1105,a),flip(a)]. 1113 (x / (x / y)) * (y * z) = y * ((x / (x / y)) * z). [hyper(455,a,1085,a),flip(a)]. 1115 (x / (x / y)) \ (y * z) = y * ((x / (x / y)) \ z). [hyper(75,a,89,a(flip),b,1113,a)]. 1116 (x * ((y / (y / x)) * z)) \ ((x * z) * (y / (y / x))) = K(x * z,y / (y / x)). [para(1113(a,1),29(a,2,1)),flip(a)]. 1117 x * (y * T(y \ (x \ (z * y)),u)) = (x * T(x \ z,u)) * y. [hyper(189,a,713,a(flip),b,1100,a(flip)),flip(a)]. 1118 x * T(x \ (x \ (y * x)),z) = T(x * T(x \ y,z),x). [hyper(147,a,1100,a(flip),b,713,a(flip)),flip(a)]. 1119 (x * y) * T((x * y) \ y,z) = (x * T(x \ 1,z)) * y. [para(14(a,1),1100(a,1,2,1,2))]. 1121 T(x * T(x \ y,z),x) = x * T(x \ T(y,x),z). [para(35(a,2),1118(a,1,2,1,2)),flip(a)]. 1122 x \ T(x * T(x \ y,z),x) = T(x \ T(y,x),z). [hyper(75,a,1121,a,b,xx)]. 1123 x \ T(x * T(y,z),x) = T(x \ T(x * y,x),z). [para(16(a,1),1122(a,1,2,1,2,1))]. 1125 x * (y * T(y \ (x \ y),z)) = (x * T(x \ 1,z)) * y. [hyper(189,a,713,a(flip),b,1119,a(flip)),flip(a)]. 1126 T(x,x * T(x \ 1,y)) = x. [hyper(147,a,569,a(flip),b,1119,a(flip))]. 1128 T(x,(x \ 1) * x) = x. [para(113(a,1),1126(a,1,2))]. 1129 T(x,K(x \ 1,x)) = x. [para(229(a,1),1126(a,1,2))]. 1130 (R(x,y,z) * (x * T(x \ 1,u))) / R(x,y,z) = x * T(x \ 1,u). [para(1126(a,1),175(a,1,2,1))]. 1131 R(x,(x * T(x \ 1,y)) / x,x) = T(x,(x * T(x \ 1,y)) / x). [para(1126(a,1),618(a,1,1))]. 1132 T(x \ 1,T(x,y) * (x \ 1)) = x \ 1. [para(326(a,1),1126(a,1,2))]. 1133 T(x \ 1,x \ T(x,y)) = x \ 1. [para(770(a,1),1126(a,1,2))]. 1134 T(1 / x,T(x,y) / x) = 1 / x. [para(792(a,1),1126(a,1,2))]. 1135 R(x,x \ 1,x) = T(x,x \ 1). [para(1128(a,1),615(a,1,1))]. 1136 K(x \ 1,x) * x = x * K(x \ 1,x). [para(1129(a,1),113(a,1,2))]. 1137 R(x,x \ 1,x) = (x \ 1) \ 1. [hyper(189,a,114,a(flip),b,1135,a)]. 1138 R(T(x,y),x \ 1,x) = T(T(x,x \ 1),y). [para(1135(a,1),45(a,2,1))]. 1139 x / K(x \ 1,x) = (x \ 1) \ 1. [hyper(189,a,401,a,b,1137,a(flip)),flip(a)]. 1140 T(x \ T(x,y),x \ 1) = x \ T(x,y). [hyper(38,a,1133,a)]. 1141 T((x * (1 / y)) / x,T(y,z) / y) = (x * (1 / y)) / x. [para(1134(a,1),330(a,1,1,2)),flip(a)]. 1142 ((x \ 1) \ 1) * K(x \ 1,x) = x. [para(1139(a,1),19(a,1,1))]. 1143 T(x,x \ 1) * K(x \ 1,x) = x. [hyper(465,a,1142,a)]. 1144 R(x \ 1,T(x,y),x \ 1) = T(x \ 1,T(x,y)). [para(1132(a,1),615(a,1,1))]. 1145 K(x \ 1,x) * x = 1 / (1 / x). [hyper(189,a,474,a(flip),b,1136,a)]. 1146 T((x * y) \ (y * x),y \ 1) = L(y \ T(y,x),y,x). [para(1140(a,1),585(a,1,1)),flip(a)]. 1147 K(x,y) = T((y * x) \ (x * y),x \ 1). [hyper(189,a,584,a,b,1146,a),flip(a)]. 1148 T(K(x,y),x \ 1) = K(x,y). [para(29(a,2),1147(a,2,1)),flip(a)]. 1149 T(x \ 1,K(x,y)) = x \ 1. [hyper(38,a,1148,a)]. 1150 T((x * y) \ x,K(y,z)) = L(y \ 1,y,x). [para(1149(a,1),280(a,2,1))]. 1151 T((x * y) \ x,K(y,z)) = (x * y) \ x. [hyper(189,a,140,a(flip),b,1150,a)]. 1152 T(K(x,y),(z * x) \ z) = K(x,y). [hyper(38,a,1151,a)]. 1153 T(K(x \ 1,y),x) = K(x \ 1,y). [para(121(a,1),1152(a,1,2))]. 1155 K(x \ 1,y) * x = x * K(x \ 1,y). [para(1153(a,1),113(a,1,2)),flip(a)]. 1156 (x * T(x \ 1,y)) * y = x * ((y \ (x \ y)) * y). [para(113(a,1),1125(a,1,2)),flip(a)]. 1157 (x \ 1) * ((x \ T(x,y)) * ((x \ 1) \ z)) = ((x \ 1) * T((x \ 1) \ 1,y)) * z. [para(918(a,2),1125(a,1,2))]. 1158 x * T(y * T(y \ 1,x),x) = y * ((x \ (y \ x)) * x). [hyper(206,a,1156,a)]. 1159 x * ((y \ z) * T((y \ z) \ (x \ z),u)) = (x * T(x \ y,u)) * (y \ z). [para(17(a,1),1117(a,1,2,2,1,2,2))]. 1160 (x * T(x \ (y / z),u)) * z = x * (z * T(z \ (x \ y),u)). [para(19(a,1),1117(a,1,2,2,1,2,2)),flip(a)]. 1161 ((x * y) * T((x * y) \ x,z)) * u = (x * y) * (u * T(u \ L(y \ u,y,x),z)). [para(104(a,2),1117(a,1,2,2,1,2)),flip(a)]. 1162 x * (y * T(y \ (x \ z),x)) = ((x \ (z / y)) * x) * y. [para(113(a,1),1160(a,1,1)),flip(a)]. 1163 (T((x / y) / z,u) * z) * y = z * (y * T(y \ (z \ x),u)). [para(323(a,2),1160(a,1,1))]. 1164 ((x / y) * K(y \ 1,y)) * y = x * (y * T(y \ (x \ x),y)). [para(842(a,2),1160(a,1,1))]. 1165 (x * y) * T((x * y) \ z,x) = ((x \ (z / y)) * x) * y. [hyper(189,a,713,a,b,1162,a(flip)),flip(a)]. 1166 ((x \ ((x * y) / z)) * x) * z = x * (z * T(z \ y,x)). [para(16(a,1),1162(a,1,2,2,1,2)),flip(a)]. 1167 ((x \ (x / y)) * x) * y = x * (y * T(y \ 1,x)). [para(59(a,1),1162(a,1,2,2,1,2)),flip(a)]. 1168 ((x \ (y / y)) * x) * y = x * (K(x \ 1,x) * (x \ y)). [para(910(a,2),1162(a,1,2)),flip(a)]. 1169 x * ((y \ x) * T((y \ x) \ 1,x)) = ((x \ y) * x) * (y \ x). [para(67(a,1),1167(a,1,1,1,2)),flip(a)]. 1170 x * (x * T(x \ T(y,x),x)) = ((x \ y) * x) * x. [para(143(a,1),1166(a,1,1,1,2)),flip(a)]. 1171 x * ((x \ T(y,x)) * x) = ((x \ y) * x) * x. [para(113(a,1),1170(a,1,2))]. 1172 T((x \ y) * x,x) = (x \ T(y,x)) * x. [hyper(148,a,1171,a)]. 1173 T(x,y) \ T((y \ x) * y,y) = K(y \ T(x,y),y). [hyper(75,a,1172,a,b,213,a)]. 1174 x * (T((x \ y) * x,x) / x) = T(y,x). [para(1172(a,2),66(a,1,2,1))]. 1175 x * (T(y * x,x) / x) = T(x * y,x). [para(16(a,1),1174(a,1,2,1,1,1))]. 1176 T(x * (y / x),x) = x * (T(y,x) / x). [para(70(a,1),1174(a,1,2,1,1)),flip(a)]. 1177 T(x * ((1 / x) * y),x) = x * ((1 / x) * T(y,x)). [para(777(a,1),1175(a,1,2)),flip(a)]. 1178 x \ T(x * (y / x),x) = T(y,x) / x. [hyper(75,a,1176,a,b,xx)]. 1180 x \ T(x * T((x * y) / x,z),x) = T(x * T(y,z),x) / x. [para(330(a,1),1178(a,1,2,1,2))]. 1181 x \ T(x * L((x * y) / x,z,u),x) = T(x * L(y,z,u),x) / x. [para(662(a,2),1178(a,1,2,1,2))]. 1182 x \ T(x * T(y / x,z),x) = T(T(y,x) / x,z). [para(1178(a,1),1123(a,2,1))]. 1183 T(x * y,x) \ T(y * x,x) = K(x \ T(x * y,x),x). [para(16(a,1),1173(a,1,2,1,1))]. 1184 T(x * ((1 / x) * ((1 / x) \ (x \ (y * (1 / x))))),x) = (x * T(x \ y,x)) * (1 / x). [hyper(189,a,1117,a(flip),b,1177,a)]. 1185 T(x * T(y / x,z),x) = x * T(T(y,x) / x,z). [para(1182(a,1),17(a,1,2)),flip(a)]. 1186 T(x * T(1 / x,y),x) = x * T(1 / x,y). [para(191(a,1),1185(a,2,2,1,1))]. 1187 x \ T(x * T(y / x,z),x) != u | T(T(y,x) / x,z) = u. [para(1185(a,2),237(a,1,2)),flip(b)]. 1188 x * (K(x \ 1,x) * (x \ y)) = ((x \ 1) * x) * y. [para(64(a,1),1168(a,1,1,1,2)),flip(a)]. 1190 x * (K(x \ 1,x) * (x \ y)) = K(x \ 1,x) * y. [para(165(a,2),1188(a,2,1))]. 1191 K(x \ 1,x) * (x * y) = x * (K(x \ 1,x) * y). [para(16(a,1),1190(a,1,2,2)),flip(a)]. 1192 x * (K(x \ 1,x) * T(y,x)) = K(x \ 1,x) * (y * x). [para(35(a,2),1190(a,1,2,2))]. 1193 (K(x \ 1,x) * y) \ (x * (K(x \ 1,x) * y)) = L(T(x,y),y,K(x \ 1,x)). [para(1191(a,1),154(a,1,2))]. 1194 ((x / y) * K(y \ 1,y)) * y = x * (y * T(y \ 1,y)). [para(59(a,1),1164(a,2,2,2,1,2))]. 1196 ((x / y) * K(y \ 1,y)) * y = x * ((y \ 1) * y). [para(113(a,1),1194(a,2,2))]. 1197 ((x / y) * K(y \ 1,y)) * y = x * K(y \ 1,y). [para(229(a,1),1194(a,2,2))]. 1198 (1 / x) * K(x \ 1,x) = x \ 1. [hyper(21,a,14,a(flip),b,1196,a)]. 1199 (x \ 1) \ ((1 / x) * (K(x \ 1,x) * y)) = L(y,K(x \ 1,x),1 / x). [para(1198(a,1),31(a,2,1)),flip(a)]. 1200 (1 / x) * ((x \ 1) * x) = x \ 1. [para(165(a,1),1198(a,1,2))]. 1201 (1 / x) \ (x \ 1) != y | K(x \ 1,x) = y. [para(1198(a,1),237(a,1,2)),flip(b)]. 1202 (1 / x) * (L(x \ 1,y,z) * x) = L(x \ 1,y,z). [para(1200(a,1),864(a,1,1)),flip(a)]. 1203 (x * y) \ x = (1 / y) * (L(y \ 1,y,x) * y). [hyper(189,a,140,a(flip),b,1202,a),flip(a)]. 1204 L((x \ y) \ 1,x \ y,x) * (x \ y) = (1 / (x \ y)) \ (y \ x). [hyper(75,a,276,a(flip),b,1202,a),flip(a)]. 1205 (1 / x) * (((y * x) \ y) * x) = (y * x) \ y. [para(140(a,1),1203(a,2,2,1)),flip(a)]. 1206 (1 / x) \ ((y * x) \ y) = ((y * x) \ y) * x. [hyper(80,a,1205,a)]. 1207 (1 / x) * ((((y * x) \ y) \ (((y * x) \ y) * x)) * ((y * x) \ y)) = ((1 / x) * T((1 / x) \ 1,(y * x) \ y)) * ((y * x) \ y). [para(1206(a,1),1156(a,2,2,1,2)),flip(a)]. 1208 ((x \ y) * x) * (y \ x) = x * (y \ ((x \ y) * x)). [para(1072(a,1),1169(a,1,2)),flip(a)]. 1209 ((x \ y) * x) * (y \ x) = x * K(x \ y,x). [para(96(a,1),1208(a,2,2))]. 1210 (x * y) * ((y * x) \ y) = y * K(y \ (y * x),y). [para(16(a,1),1209(a,1,1,1))]. 1211 (x * y) * ((y * x) \ y) = y * K(x,y). [para(16(a,1),1210(a,2,2,1))]. 1213 K(x \ (x * y),x) = K(y,x). [hyper(20,a,1210,a(flip),b,1211,a(flip)),flip(a)]. 1214 (x * y) * L(x \ 1,x,y) = y * K(x,y). [para(140(a,2),1211(a,1,2))]. 1215 K(x \ (x * y),z) = K(y,z). [para(60(a,1),1213(a,1,1)),flip(a)]. 1216 K((x / y) \ x,z) = K(y,z). [para(19(a,1),1215(a,1,1,2))]. 1218 T(x * T(y,z),x) / x = T(T(x * y,x) / x,z). [hyper(1187,a,1180,a),flip(a)]. 1219 (L(x,y,z) * (z * y)) \ (x * (z * y)) = a(z,y,T(x,z * y)). [para(498(a,1),151(a,1,1))]. 1220 (L(x,y \ z,y) * z) \ (x * (y * (y \ z))) = a(y,y \ z,T(x,y * (y \ z))). [para(17(a,1),1219(a,1,1,2))]. 1221 R(x * (y \ 1),z,u) / (y \ 1) = y * R(y \ x,z,u). [hyper(76,a,464,a(flip),b,665,a)]. 1222 x * R(x \ (y / (x \ 1)),z,u) = R(y,z,u) / (x \ 1). [para(19(a,1),1221(a,1,1,1)),flip(a)]. 1223 x * ((x \ y) * ((z * ((x \ y) \ u)) / z)) = y * ((z * (y \ (x * u))) / z). [para(694(a,1),344(a,1,2)),flip(a)]. 1224 x * L(R(T(y,x),z,z \ x),u,w) = (L(y,u,w) * z) * (z \ x). [para(47(a,1),737(a,1,2))]. 1225 K(x \ (x / y),x) != z | y * T(y \ 1,x) = z. [para(320(a,1),841(a,1))]. 1226 T(x,y) / x != z | (1 / x) * T((1 / x) \ 1,y) = z. [para(889(a,1),1225(a,1))]. 1227 R((1 / x) * ((y * x) / y),x,x \ y) = (1 / x) * ((T(y,x) / y) * x). [para(1027(a,2),856(a,1,2,1,1)),flip(a)]. 1228 T(x,(x * T(x \ 1,y)) / x) = R(x,T(1 / x,y),x). [para(328(a,1),1131(a,1,2)),flip(a)]. 1229 R(x,T(1 / x,y),x) = T(x,T(1 / x,y)). [para(328(a,1),1228(a,1,2)),flip(a)]. 1230 R(R(x,y,z),T(1 / x,u),x) = R(T(x,T(1 / x,u)),y,z). [para(1229(a,1),49(a,1,1)),flip(a)]. 1231 T(x,T(1 / x,y)) * T(T(1 / x,y),x) = T(x * T(1 / x,y),x). [para(1229(a,1),930(a,1,1))]. 1232 (1 / (x \ y)) \ (y \ x) = (y \ x) * (x \ y). [para(276(a,1),1204(a,1,1)),flip(a)]. 1233 (1 / (x \ y)) * ((y \ x) * (x \ y)) = y \ x. [para(1232(a,1),17(a,1,2))]. 1234 (1 / ((x * y) \ x)) * ((x \ (x * y)) * ((x * y) \ x)) = y. [hyper(189,a,16,a(flip),b,1233,a)]. 1235 T(1 / (x \ y),(y \ x) * (x \ y)) = ((y \ x) * (x \ y)) \ (y \ x). [hyper(147,a,1233,a,b,17,a)]. 1237 (1 / ((x * y) \ x)) * (y * ((x * y) \ x)) = y. [para(16(a,1),1234(a,1,2,1))]. 1238 (L(1 / x,y,z) * x) * (x \ u) = u * L(u \ (x \ u),y,z). [para(723(a,1),1224(a,1,2,1)),flip(a)]. 1239 (x * L(x \ 1,y,z)) * (x \ u) = u * L(u \ (x \ u),y,z). [para(502(a,1),1238(a,1,1))]. 1240 (x * L(x \ (y \ x),z,u)) / (y \ x) = y * L(y \ 1,z,u). [hyper(88,a,1239,a)]. 1241 (((x * y) * z) * L(((x * y) * z) \ (y * z),u,w)) / (R(x,y,z) \ ((x * y) * z)) = R(x,y,z) * L(R(x,y,z) \ 1,u,w). [para(133(a,1),1240(a,1,1,2,1,2))]. 1242 ((x \ (y / (x \ z))) * x) * (x \ z) = T(y / z,x) * z. [para(17(a,1),605(a,2,1,1,2))]. 1243 ((x \ (y / (x \ z))) * x) * (x \ z) = z * T(z \ y,x). [hyper(189,a,323,a(flip),b,1242,a)]. 1244 ((x \ y) * x) * (x \ z) = z * T(z \ (y * (x \ z)),x). [para(18(a,1),1243(a,1,1,1,2))]. 1245 K(x \ 1,x) * R(((x \ 1) * x) \ y,z,u) = (x \ 1) * (x * R(x \ ((x \ 1) \ y),z,u)). [para(165(a,2),810(a,1,1))]. 1246 (L((x * y) / x,z,u) * x) * y = (x * y) * L(y,z,u). [hyper(690,a,815,a),flip(a)]. 1247 (x * y) * L((x * y) \ (z * y),u,w) = (L(z / x,u,w) * x) * y. [hyper(673,a,815,a)]. 1248 (x * L(y,z,u)) * y = (x * y) * L(y,z,u). [para(503(a,1),1246(a,1,1))]. 1249 ((x / L(y,z,u)) * y) \ (x * y) = L(y,z,u). [hyper(430,a,1248,a)]. 1250 (1 / L(x,y,z)) * x = x / L(x,y,z). [hyper(423,a,1248,a),flip(a)]. 1251 (x * L(x \ 1,y,z)) * (x \ 1) = L(x \ 1,y,z). [hyper(189,a,61,a(flip),b,1248,a)]. 1252 (x * L(y,z,u)) \ ((x * y) * L(y,z,u)) = y. [hyper(80,a,1248,a)]. 1253 (x * L(y,z,u)) / y = (x / y) * L(y,z,u). [hyper(76,a,90,a(flip),b,1248,a)]. 1254 (1 / x) * L(x,y,z) = L(x,y,z) / x. [hyper(76,a,68,a(flip),b,1248,a),flip(a)]. 1255 (x * (y * L(x,z,u))) \ ((y * x) * L(x,z,u)) = K(y * L(x,z,u),x). [hyper(75,a,1248,a(flip),b,95,a)]. 1256 ((x * y) * L(y,z,u)) \ (y * (x * L(y,z,u))) != w | K(y,x * L(y,z,u)) = w. [para(1248(a,1),240(a,1,1))]. 1258 T(1 / L(x,y,z),x) = x \ (x / L(x,y,z)). [hyper(147,a,1250,a,b,17,a)]. 1259 (x / L(x,y,z)) / x = 1 / L(x,y,z). [hyper(88,a,1250,a)]. 1261 (L(x,y,z) / x) / L(x,y,z) = 1 / x. [hyper(88,a,1254,a)]. 1262 L(L(x,y,z) \ u,L(x,y,z),1 / x) = (L(x,y,z) / x) \ ((1 / x) * u). [para(1254(a,1),104(a,2,1))]. 1263 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(1254(a,1),563(a,1,2))]. 1264 (1 / L(x,y,z)) * x != u | x / L(x,y,z) = u. [para(1259(a,1),200(a,1,1)),flip(b)]. 1265 (x * y) / L(y,z,u) != w | (x / L(y,z,u)) * y = w. [para(1249(a,1),246(a,1,2)),flip(b)]. 1266 L(x,y,z) = ((z * y) * x) \ ((z * (y * x)) * x). [para(128(a,1),1249(a,1,1,1)),flip(a)]. 1267 R(T(x,y * L(x,z,u)),y,L(x,z,u)) = T(x,y). [para(1252(a,1),832(a,1,1)),flip(a)]. 1268 ((x * y) / z) * L(z,y,x) = (x * (y * z)) / z. [para(102(a,1),1253(a,1,1)),flip(a)]. 1269 T(x \ (x / L(x,y,z)),L(x,y,z)) = T(L(x,y,z) \ 1,x). [para(1258(a,1),161(a,1,1))]. 1270 (x * L(y,z,u)) * T(y,x) = (y * x) * L(y,z,u). [para(1267(a,1),505(a,1,2))]. 1271 ((x * y) * L(x,z,u)) / T(x,y) = y * L(x,z,u). [para(1267(a,1),506(a,1,2))]. 1272 (x * y) / L(z,y,R(x,y,z)) = (R(x,y,z) * y) / z. [hyper(410,a,1268,a(flip))]. 1273 (x * (y * z)) / z != L(z,y,x) * u | T((x * y) / z,L(z,y,x)) = u. [para(1268(a,1),148(a,2)),flip(a)]. 1274 (x * ((y * x) \ y)) * (x \ 1) = L(x \ 1,x,y). [para(140(a,1),1251(a,1,1,2))]. 1275 (x * ((y * x) \ y)) * (x \ 1) = (y * x) \ y. [hyper(189,a,140,a(flip),b,1274,a)]. 1276 L(x \ 1,x,y) \ ((x \ 1) * (x * ((y * x) \ y))) = K(x \ 1,x * ((y * x) \ y)). [para(1274(a,1),29(a,2,1)),flip(a)]. 1277 ((x * y) \ x) * z != (y \ 1) * (y * ((x * y) \ x)) | K(y \ 1,y * ((x * y) \ x)) = z. [para(1275(a,1),215(a,1,1))]. 1278 T(x,y) \ ((x * y) * L(x,z,u)) = T(y * L(x,z,u),T(x,y)). [hyper(147,a,1270,a,b,17,a),flip(a)]. 1279 (x * L(y,z,u)) / T(y,y \ x) = (y \ x) * L(y,z,u). [hyper(76,a,91,a(flip),b,1270,a)]. 1281 ((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(110(a,1),831(a,1,2))]. 1282 T(1 / x,(y / (x * y)) * x) != z | L(x \ 1,x,y / (x * y)) = z. [para(863(a,1),310(a,1))]. 1283 x \ R(x * (y * (x \ 1)),z,u) = R(y,z,u) * (x \ 1). [hyper(189,a,160,a(flip),b,866,a)]. 1284 x \ R(x * (x \ T(y,x \ 1)),z,u) = R((x \ 1) \ (x \ y),z,u) * (x \ 1). [para(783(a,1),1283(a,1,2,1,2))]. 1285 (1 / x) * L((1 / x) \ y,z,u) = L(y * x,z,u) / x. [para(69(a,1),914(a,1,2)),flip(a)]. 1286 (1 / x) * L((1 / x) \ 1,y,z) = L(x,y,z) / x. [para(14(a,1),1285(a,2,1,1))]. 1287 L(T(x,y),y,R(x,z,u)) = T(x,R(x,z,u) * y). [hyper(238,a,928,a),flip(a)]. 1288 x \ (y * L(y \ (x * z),u,w)) = (x \ y) * L((x \ y) \ z,u,w). [hyper(80,a,931,a)]. 1289 (x / y) * (y * L(y \ ((x / y) \ z),u,w)) = x * L(x \ z,u,w). [para(17(a,1),933(a,2,2,1,2))]. 1290 x \ (y * R(y \ (x * z),u,w)) = (x \ y) * R((x \ y) \ z,u,w). [hyper(80,a,934,a)]. 1291 (x / y) \ (x * ((z * (x \ (x / y))) / z)) = y * ((z * (y \ 1)) / z). [hyper(80,a,938,a)]. 1292 ((x * (1 / (1 / T(y,x)))) / x) \ (y / T(y,x)) = 1 / T(y,x). [para(993(a,1),957(a,1,2))]. 1293 L(T(x,y),y,L(x,z,u)) = T(x,L(x,z,u) * y). [hyper(238,a,967,a),flip(a)]. 1294 x * T(y,L(y,z,u) * x) = L(y,x,L(y,z,u)) * x. [para(1293(a,1),159(a,1,2))]. 1295 T((x * y) / x,L(y,z,u) * x) = L(y,x,L(y,z,u)). [hyper(331,a,1294,a)]. 1296 (((x * y) / x) * (y \ 1)) * x = T(x,R(y,y \ 1,x)). [hyper(699,a,1033,a)]. 1297 (x \ ((y * x) / y)) * y = T(y,R(x,x \ 1,y)). [para(1106(a,1),1296(a,1,1))]. 1298 T(x,R(y,y \ 1,x)) / x = y \ ((x * y) / x). [hyper(88,a,1297,a)]. 1299 T(x,R(T(y,x),T(y,x) \ 1,x)) = (T(y,x) \ y) * x. [para(143(a,1),1297(a,1,1,2)),flip(a)]. 1300 T(x,R(y,y \ 1,x)) / x != z | y \ ((x * y) / x) = z. [para(1297(a,1),248(a,1,1)),flip(b)]. 1301 (1 / x) \ ((y * (1 / x)) / y) = T(y,R(1 / x,x,y)) / y. [para(69(a,1),1298(a,1,1,2,2)),flip(a)]. 1302 T(1 / x,T(x,R(y,y \ 1,x))) = L(x \ 1,x,y \ ((x * y) / x)). [para(1298(a,1),801(a,1,3)),flip(a)]. 1303 T(x,R(1 / y,y,x)) / x = y * ((x * (y \ 1)) / x). [hyper(189,a,1099,a(flip),b,1301,a(flip))]. 1304 (x * ((y * (x \ 1)) / y)) * y = T(y,R(1 / x,x,y)). [para(1303(a,1),19(a,1,1))]. 1305 (T(x,y) * ((T(x,y) \ x) / x)) * x = T(x,R(1 / T(x,y),T(x,y),x)). [para(987(a,1),1304(a,1,1,2,1))]. 1306 ((x \ y) \ y) * (T(x,z) \ 1) = T(x,z) \ ((x \ y) \ y). [para(67(a,1),1103(a,1,1,1)),flip(a)]. 1307 ((x \ y) \ y) * (x \ (T(x,z) \ 1)) = x \ (T(x,z) \ ((x \ y) \ y)). [para(1306(a,1),1063(a,1,2)),flip(a)]. 1308 (x * (R(x,y,z) * T(x \ 1,u))) / R(x,y,z) = x * T(x \ 1,u). [para(922(a,1),1130(a,1,1))]. 1309 T(x,T(1 / x,y)) * T(x \ 1,y) = T(x * T(1 / x,y),x). [para(161(a,1),1231(a,1,2))]. 1310 T(x,T(1 / x,y)) * T(x \ 1,y) = x * T(1 / x,y). [hyper(189,a,1186,a(flip),b,1309,a)]. 1311 (L((x / y) / z,u,w) * z) * y = (z * y) * L((z * y) \ x,u,w). [para(19(a,1),1247(a,1,2,1,2)),flip(a)]. 1312 (x \ y) * L((x \ y) \ 1,z,u) = x \ (y * L(y \ x,z,u)). [para(15(a,1),1288(a,1,2,2,1,2)),flip(a)]. 1313 (x \ y) * L((x \ y) \ (x \ z),u,w) = x \ (y * L(y \ z,u,w)). [para(17(a,1),1288(a,1,2,2,1,2)),flip(a)]. 1314 (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(31(a,2),1312(a,1,1)),flip(a)]. 1315 (x \ y) * R((x \ y) \ 1,z,u) = x \ (y * R(y \ x,z,u)). [para(15(a,1),1290(a,1,2,2,1,2)),flip(a)]. 1316 (x * y) \ ((x * (y * z)) * R((x * (y * z)) \ (x * y),u,w)) = L(z,y,x) * R(((x * y) \ (x * (y * z))) \ 1,u,w). [para(31(a,2),1315(a,1,1)),flip(a)]. 1317 x \ ((y * x) * R((y * x) \ x,z,u)) = T(y,x) * R((x \ (y * x)) \ 1,z,u). [para(35(a,2),1315(a,1,1)),flip(a)]. 1318 (x / y) \ (x * ((x / y) / x)) = y * ((x * (y \ 1)) / x). [para(17(a,1),1291(a,1,2,2,1))]. 1319 K(x,(x / y) / x) = y * ((x * (y \ 1)) / x). [hyper(338,a,1318,a)]. 1320 x * ((y * (x \ 1)) / y) != z | K(y,(y / x) / y) = z. [para(1318(a,1),338(a,1))]. 1321 (x \ y) * ((y * ((x \ y) \ 1)) / y) = K(y,x / y). [para(67(a,1),1319(a,1,2,1)),flip(a)]. 1322 x * ((T(x,y) * (x \ 1)) / T(x,y)) = K(T(x,y),1 / x). [para(795(a,1),1319(a,1,2)),flip(a)]. 1323 x * ((R(x,y,z) * (x \ 1)) / R(x,y,z)) = K(R(x,y,z),1 / x). [para(878(a,1),1319(a,1,2)),flip(a)]. 1324 T(x,y) * ((T(x,z) * (T(x,y) \ 1)) / T(x,z)) = K(T(x,z),1 / T(x,y)). [para(1023(a,1),1319(a,1,2)),flip(a)]. 1325 x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = K(L(x,y,z),1 / x). [para(1261(a,1),1319(a,1,2)),flip(a)]. 1326 x * (((x \ 1) * T((x \ 1) \ 1,y)) / T(x,y)) = K(T(x,y),1 / x). [para(326(a,2),1322(a,1,2,1))]. 1327 x * ((x \ R(x,y,z)) / R(x,y,z)) = K(R(x,y,z),1 / x). [para(867(a,1),1323(a,1,2,1))]. 1328 (x * ((x \ 1) * R(x,y,z))) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). [para(113(a,1),1308(a,1,1,2))]. 1329 (L((x / y) / z,u,w) * z) * y = z * (y * L(y \ (z \ x),u,w)). [hyper(189,a,811,a(flip),b,1311,a)]. 1330 T(x,y) * L((y \ (x * y)) \ (y \ z),u,w) = y \ ((x * y) * L((x * y) \ z,u,w)). [para(35(a,2),1313(a,1,1))]. 1331 (x * L(x \ (y / z),u,w)) * z = x * (z * L(z \ (x \ y),u,w)). [para(502(a,1),1329(a,1,1))]. 1332 (x * (y * L(y \ (x \ z),u,w))) / y = x * L(x \ (z / y),u,w). [hyper(88,a,1331,a)]. 1333 (x / y) * L((x / y) \ (z / y),u,w) = (x * L(x \ z,u,w)) / y. [hyper(76,a,1289,a(flip),b,1331,a),flip(a)]. 1334 x * (y * L(y \ (x \ (z * y)),u,w)) = (x * L(x \ z,u,w)) * y. [para(18(a,1),1331(a,1,1,2,1,2)),flip(a)]. 1335 x * (y * L(y \ (x \ y),z,u)) = (x * L(x \ 1,z,u)) * y. [para(64(a,1),1331(a,1,1,2,1,2)),flip(a)]. 1336 x \ (y * (x * L(x \ (y \ z),u,w))) != v5 | T(y * L(y \ (z / x),u,w),x) = v5. [para(1331(a,1),238(a,1,2))]. 1337 (x * y) * L((x * y) \ y,z,u) = (x * L(x \ 1,z,u)) * y. [hyper(189,a,811,a,b,1335,a(flip)),flip(a)]. 1338 x * ((x * y) * L((x * y) \ y,z,u)) = (x * L(x \ 1,z,u)) * (x * y). [para(16(a,1),1335(a,1,2,2,1,2))]. 1339 T(x,x * L(x \ 1,y,z)) = x. [hyper(147,a,709,a(flip),b,1337,a(flip))]. 1340 T(x * L(x \ 1,T(x,y),y),y) = T(x,y) * ((x * y) \ y). [hyper(147,a,1337,a(flip),b,353,a(flip))]. 1342 K(x,x * L(x \ 1,y,z)) = 1. [hyper(39,a,1339,a)]. 1343 T(x \ y,(x \ y) * (y \ x)) = x \ y. [para(276(a,1),1339(a,1,2,2))]. 1344 T(x \ 1,x \ L(x,y,z)) = x \ 1. [para(854(a,1),1339(a,1,2))]. 1345 T(1 / x,L(x,y,z) / x) = 1 / x. [para(1286(a,1),1339(a,1,2))]. 1346 T(x \ 1,L(x,y,z) * (x \ 1)) = x \ 1. [para(962(a,2),1344(a,1,2))]. 1347 T((x * (1 / y)) / x,L(y,z,u) / y) = (x * (1 / y)) / x. [para(1345(a,1),330(a,1,1,2)),flip(a)]. 1348 R(x \ 1,L(x,y,z),x \ 1) = T(x \ 1,L(x,y,z)). [para(1346(a,1),615(a,1,1))]. 1349 (x * (y * L(y \ (x \ x),z,u))) / y = (x / y) * (y * L(y \ 1,z,u)). [hyper(189,a,932,a,b,1332,a)]. 1350 x * L(x \ (x \ (y * x)),z,u) = T(x * L(x \ y,z,u),x). [hyper(148,a,1334,a),flip(a)]. 1351 ((x * y) * L((x * y) \ x,z,u)) * y = (x * y) * (y * L(y \ 1,z,u)). [para(59(a,1),1334(a,1,2,2,1,2)),flip(a)]. 1352 T(x * L(x \ y,z,u),x) = x * L(x \ T(y,x),z,u). [para(35(a,2),1350(a,1,2,1,2)),flip(a)]. 1353 x \ T(x * L(x \ y,z,u),x) = L(x \ T(y,x),z,u). [hyper(75,a,1352,a,b,xx)]. 1354 L(x \ T(x * y,x),z,u) = x \ T(x * L(y,z,u),x). [para(16(a,1),1353(a,1,2,1,2,1)),flip(a)]. 1356 x \ T(x * L(y / x,z,u),x) = L(T(y,x) / x,z,u). [para(1178(a,1),1354(a,1,1)),flip(a)]. 1357 L(T(x * y,x) / x,z,u) = T(x * L(y,z,u),x) / x. [hyper(189,a,1181,a(flip),b,1356,a(flip))]. 1358 ((T(x,y) * (x \ 1)) * x) * L(z,(x \ 1) * x,T(T(x,x \ 1),y)) = R(T(x,y),x \ 1,x) * (((x \ 1) * x) * z). [para(1138(a,1),389(a,1,2,3))]. 1359 ((x * (y * (z \ 1))) / x) / (z \ 1) = z * ((x * (z \ y)) / x). [para(698(a,1),758(a,1,1))]. 1360 ((x * (y * ((1 / z) \ 1))) / x) / z = (1 / z) * ((x * ((1 / z) \ y)) / x). [para(69(a,1),1359(a,1,2))]. 1361 T(R(T(x,x * y),y,y \ 1) / (y \ 1),(x * y) * (y \ 1)) = x * y. [para(45(a,2),1052(a,1,1,1))]. 1362 (1 / x) * ((x \ 1) \ (K(x \ 1,x) * y)) = L(y,K(x \ 1,x),1 / x). [hyper(189,a,1086,a(flip),b,1199,a(flip)),flip(a)]. 1363 (x * (y * (1 / (1 / x)))) \ ((y * x) * L(x,x \ 1,x)) = K(y * L(x,x \ 1,x),x). [para(472(a,1),1255(a,1,1,2,2))]. 1364 (T(x,y) * ((T(x,y) \ x) / x)) * x = T(x,(1 * x) / (x * T(x,y))). [para(394(a,1),1305(a,2,2))]. 1365 (T(x,y) * ((T(x,y) \ x) / x)) * x = T(x,x / (x * T(x,y))). [para(14(a,1),1364(a,2,2,1))]. 1366 L(R(x,y,z),x \ 1,x) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). [para(166(a,1),1328(a,1,1))]. 1367 R(1 / (1 / x),y,z) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). [para(475(a,1),1366(a,1,1))]. 1368 T(T(x,x * y) * y,(x * y) * (y \ 1)) = x * y. [para(373(a,1),1361(a,1,1))]. 1369 T(T(x,x * y) * y,R(x,y,y \ 1)) = x * y. [para(369(a,1),1368(a,1,2))]. 1370 T(T(T(x,x * y) * y,z),R(x,y,y \ 1)) = T(x * y,z). [para(1369(a,1),41(a,1,1)),flip(a)]. 1371 L(L(x,y,y \ 1),K(y \ 1,y),1 / y) = (1 / y) * ((y \ 1) \ ((y \ 1) * (y * x))). [para(354(a,1),1362(a,1,2,2)),flip(a)]. 1372 x * (T(y,x) * T(T(y,x) \ 1,z)) = (y * x) * T((y * x) \ x,z). [para(113(a,1),714(a,1,2,1,1)),flip(a)]. 1373 T(x,y) * T(T(x,y) \ 1,z) = T(x * T(x \ 1,z),y). [hyper(147,a,1119,a(flip),b,1372,a),flip(a)]. 1374 T(x * T(x \ 1,y),z) = K(y \ (y / T(x,z)),y). [hyper(888,a,1373,a),flip(a)]. 1375 T(x,y) \ T(x * T(x \ 1,z),y) = T(T(x,y) \ 1,z). [hyper(80,a,1373,a)]. 1376 (x \ (x / T(x,y))) * T(x,y) = T(x * T(x \ 1,x),y). [hyper(189,a,1005,a(flip),b,1373,a(flip)),flip(a)]. 1377 T(x * T(x \ 1,T(x,y)),y) != z * T(x,y) | T(x,y) \ 1 = z. [para(1373(a,1),149(a,1)),flip(b)]. 1378 T(x \ T(x,y),z) = K(y \ (y / T(x \ 1,z)),y). [para(770(a,1),1374(a,1,1))]. 1379 K(x \ (x / T(L(y \ 1,y,x),z)),x) = T(K(y,x),z). [para(906(a,2),1374(a,1,1)),flip(a)]. 1380 T(K(x,y),L(x \ 1,x,y) \ z) = K(y \ (y / ((L(x \ 1,x,y) \ z) \ z)),y). [para(114(a,1),1379(a,1,1,2,2)),flip(a)]. 1381 T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ T(x * (x \ 1),y). [para(1133(a,1),1375(a,1,2,1,2)),flip(a)]. 1382 (x \ (x / T(x,y))) * T(x,y) = T(K(x \ 1,x),y). [para(229(a,1),1376(a,2,1))]. 1383 T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ T(1,y). [para(17(a,1),1381(a,2,2,1))]. 1385 T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ 1. [para(191(a,1),1383(a,2,2))]. 1386 T(x \ T(x,y),T(x,z) \ 1) = x \ T(x,y). [hyper(38,a,1385,a)]. 1388 K(x \ T(x,y),T(x,z) \ 1) = 1. [hyper(39,a,1386,a)]. 1389 (1 / (x / y)) \ (y / x) = ((1 * y) / x) * (x / y). [hyper(828,a,858,a),flip(a)]. 1390 (1 / (x / y)) \ (y / x) = (y / x) * (x / y). [para(14(a,1),1389(a,2,1,1))]. 1391 (1 / (x / y)) * ((y / x) * (x / y)) = y / x. [para(1390(a,1),17(a,1,2))]. 1392 (1 / ((x \ y) / y)) * ((y / (x \ y)) * ((x \ y) / y)) = x. [hyper(189,a,67,a(flip),b,1391,a)]. 1393 (1 / ((x \ y) / y)) * (x * ((x \ y) / y)) = x. [para(67(a,1),1392(a,1,2,1))]. 1394 T(1 / ((x \ y) / y),x * ((x \ y) / y)) = (x * ((x \ y) / y)) \ x. [hyper(147,a,1393,a,b,17,a)]. 1397 (x * y) * ((z * ((x * y) \ (x * u))) / z) = x * (y * ((z * (y \ u)) / z)). [para(16(a,1),936(a,2,2,2,1,2,2))]. 1398 (x * y) * ((z * ((x * y) \ x)) / z) = x * (y * ((z * (y \ 1)) / z)). [para(59(a,1),936(a,2,2,2,1,2,2))]. 1399 x \ T(x,x / (x * y)) = y * ((x * (y \ 1)) / x). [hyper(1045,a,1398,a)]. 1400 x * (y * ((x * (y \ 1)) / x)) = T(x,x / (x * y)). [hyper(1044,a,1398,a),flip(a)]. 1401 (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(102(a,1),1398(a,1,1))]. 1402 x \ T(x,x / (x * y)) = K(x,(x / y) / x). [hyper(189,a,1319,a,b,1399,a)]. 1403 T(x,R(1 / y,y,x)) = (x \ T(x,x / (x * y))) * x. [para(1399(a,2),1304(a,1,1)),flip(a)]. 1404 x * K(x,(x / y) / x) = T(x,x / (x * y)). [para(1402(a,1),17(a,1,2))]. 1405 T(x,x / (x * (y \ x))) = x * K(x,y / x). [para(67(a,1),1404(a,1,2,2,1)),flip(a)]. 1406 T(x,R(y,x,(y * x) \ x)) = x * K(x,(y * x) / x). [para(109(a,2),1405(a,1,2))]. 1407 T(x,R(y,x,(y * x) \ x)) = x * K(x,y). [para(18(a,1),1406(a,2,2,2))]. 1408 (x * y) * T((x * y) \ (y * x),x) = y * L(x,T(x,y) \ x,T(x,y)). [para(1015(a,1),940(a,2,2))]. 1409 x * L(y,T(y,x) \ y,T(y,x)) = (y * x) * T(K(x,y),y). [para(29(a,2),1408(a,1,2,1)),flip(a)]. 1410 (x * y) * K(z \ (z / K(y,x)),z) = (y * x) * T(K(x,y),z). [para(29(a,2),1079(a,1,2,1)),flip(a)]. 1411 (x * y) * (K(y,x) * T(K(y,x) \ 1,z)) = (y * x) * T(K(x,y),z). [para(886(a,1),1410(a,1,2))]. 1412 (x * y) \ ((y * x) * T(K(x,y),z)) = K(y,x) * T(K(y,x) \ 1,z). [hyper(80,a,1411,a)]. 1413 K(((x \ y) * (y \ x)) \ (x \ y),(x \ y) * (y \ x)) = y \ (x * (x \ y)). [para(1343(a,1),1081(a,2,2,2))]. 1414 x * ((x \ y) * ((z * ((x \ y) \ 1)) / z)) = y * ((z * (y \ x)) / z). [para(15(a,1),1223(a,2,2,1,2,2))]. 1415 x * K(y,(y / (x \ z)) / y) = z * ((y * (z \ x)) / y). [para(1319(a,2),1414(a,1,2))]. 1416 (x * y) * ((z * ((x * y) \ y)) / z) = y * K(z,(z / T(x,y)) / z). [para(35(a,2),1415(a,1,2,2,1,2)),flip(a)]. 1417 T(x,y) * ((T(x,y) \ T(x,z)) / T(x,z)) = K(T(x,z),1 / T(x,y)). [para(1018(a,1),1324(a,1,2,1))]. 1418 (x * L(x \ 1,y,z)) * (x * u) = x * ((x * L(x \ 1,y,z)) * u). [para(1337(a,1),1338(a,1,2)),flip(a)]. 1419 (x \ 1) * (((x \ 1) * L((x \ 1) \ 1,y,z)) * u) = (x \ L(x,y,z)) * ((x \ 1) * u). [para(854(a,1),1418(a,1,1)),flip(a)]. 1420 (x * (y * L(y \ 1,z,u))) / y = (x / y) * (y * L(y \ 1,z,u)). [para(59(a,1),1349(a,1,1,2,2,1,2))]. 1422 (x * (y * L(y \ 1,z,u))) * y = (x * y) * (y * L(y \ 1,z,u)). [para(709(a,1),1351(a,1,1))]. 1423 (x * y) * (y * L(y \ 1,y,1 / y)) = (x * (y * (1 / y))) * y. [para(277(a,1),1422(a,1,1,2,2)),flip(a)]. 1424 (x * (y * (1 / y))) * y = (x * y) * (y * (1 / y)). [para(277(a,1),1423(a,1,2,2)),flip(a)]. 1425 (1 / x) * ((y * ((1 / x) \ z)) / y) = ((y * (z * x)) / y) / x. [para(69(a,1),1360(a,1,1,1,2,2)),flip(a)]. 1426 ((x * (x * y)) / x) / y = T(x,x / (1 / y)). [hyper(1044,a,1425,a),flip(a)]. 1427 (1 / x) * ((y * ((1 / x) \ 1)) / y) = ((y * x) / y) / x. [para(14(a,1),1425(a,2,1,1,2))]. 1428 T(x,x / (1 / (x \ y))) = ((x * y) / x) / (x \ y). [para(17(a,1),1426(a,1,1,1,2)),flip(a)]. 1429 R(T(x,x / (1 / y)),y,x) = (x * (x * y)) / (y * x). [para(1426(a,1),187(a,1,1))]. 1430 K(((x \ y) * (y \ x)) \ (x \ y),(x \ y) * (y \ x)) = 1. [hyper(189,a,201,a(flip),b,1413,a)]. 1432 T(1 / (x \ y),(y \ x) * (x \ y)) = 1 / (x \ y). [para(1430(a,1),845(a,1,1)),flip(a)]. 1433 ((x \ y) * (y \ x)) \ (x \ y) = 1 / (y \ x). [hyper(189,a,1235,a(flip),b,1432,a(flip)),flip(a)]. 1434 L((x \ y) \ 1,x \ y,y \ x) = 1 / (x \ y). [hyper(310,a,1433,a)]. 1435 (((x * y) \ x) * y) \ ((x * y) \ x) = 1 / (x \ (x * y)). [para(16(a,1),1433(a,1,1,2))]. 1436 L(((x * y) \ x) \ 1,(x * y) \ x,y) = 1 / ((x * y) \ x). [para(16(a,1),1434(a,1,3))]. 1437 (((x * y) \ x) * y) \ ((x * y) \ x) = 1 / y. [para(16(a,1),1435(a,2,2))]. 1438 L(x \ 1,x,(y * x) \ y) = 1 / x. [hyper(310,a,1437,a)]. 1439 (((x * y) \ x) * y) * (1 / y) = (x * y) \ x. [para(1437(a,1),17(a,1,2))]. 1440 ((x * y) \ x) / (1 / y) = ((x * y) \ x) * y. [para(1437(a,1),67(a,1,2))]. 1441 L(x \ 1,x,x \ 1) = 1 / x. [para(14(a,1),1438(a,1,3,1))]. 1442 L(x \ 1,x,y \ (y / x)) = 1 / x. [para(19(a,1),1438(a,1,3,1))]. 1443 L(T(x \ 1,y),x,x \ 1) = T(1 / x,y). [para(1441(a,1),43(a,2,1))]. 1444 x * L(x \ (y \ x),y,y \ 1) = (y * (1 / y)) * (y \ x). [para(1441(a,1),1239(a,1,1,2)),flip(a)]. 1445 x * (y * L(y \ (x \ y),x,x \ 1)) = (x * (1 / x)) * y. [para(1441(a,1),1335(a,2,1,2))]. 1446 (x \ (x / y)) / (1 / y) = (x \ (x / y)) * y. [para(1442(a,1),283(a,1,2))]. 1447 K(x \ 1,x) * T(1 / x,y) = (x \ 1) * (x * T(x \ 1,y)). [para(1443(a,1),354(a,1,2))]. 1448 K(((x * y) \ x) \ (((x * y) \ x) * y),(x * y) \ x) * y = T(y,(x * y) \ x). [para(1440(a,1),894(a,2,1,1,2)),flip(a)]. 1449 T(1 / T(x,y),x) / (1 / T(x,y)) = (x \ (x / T(x,y))) * T(x,y). [para(995(a,2),1446(a,1,1))]. 1450 (x * ((y * x) \ y)) \ x = 1 / ((y * x) \ y). [hyper(189,a,140,a(flip),b,1436,a(flip)),flip(a)]. 1451 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(1447(a,1),498(a,1,2))]. 1452 T(1 / T(x,y),x) / (1 / T(x,y)) = T(K(x \ 1,x),y). [hyper(189,a,1382,a(flip),b,1449,a)]. 1453 K(x \ (x / (1 / (1 / T(x,y)))),x) = T(K(x \ 1,x),y). [hyper(899,a,1452,a)]. 1454 T(K(x \ 1,x),y) * (1 / T(x,y)) = x \ (x / T(x,y)). [para(1453(a,1),1004(a,1,1))]. 1456 ((x / y) * T((x / y) \ z,u)) * y = T((z * y) / x,u) * x. [para(597(a,1),592(a,1,1)),flip(a)]. 1457 (x / y) * T((x / y) \ x,z) = (x * T(y,z)) / y. [hyper(76,a,325,a(flip),b,1456,a),flip(a)]. 1458 (x * T(x \ (y * z),u)) / z = (x / z) * T((x / z) \ y,u). [hyper(76,a,323,a(flip),b,1456,a)]. 1459 (x * T(y,z)) / y = (x / y) * T(y,z). [para(69(a,1),1457(a,1,2,1)),flip(a)]. 1460 ((x / T(y,z)) / y) * T(y,z) = x / y. [hyper(189,a,185,a(flip),b,1459,a(flip))]. 1461 ((x / y) * T(y,z)) * y = x * T(y,z). [para(1459(a,1),19(a,1,1))]. 1462 ((x / y) * T(y,z)) \ (x * T(y,z)) = y. [para(1459(a,1),69(a,1,1))]. 1463 (x / y) * T(y,x) = (y * x) / y. [para(113(a,1),1459(a,1,1)),flip(a)]. 1464 ((x \ y) * y) / (x \ y) = x * T(x \ y,y). [hyper(456,a,1463,a),flip(a)]. 1465 T(x,y) \ ((x * y) / x) = T(y / x,T(x,y)). [hyper(147,a,1463,a,b,17,a),flip(a)]. 1466 T(x,y) = (y / x) \ ((x * y) / x). [hyper(80,a,1463,a),flip(a)]. 1467 (x * (y * x)) / x = y * T(x,y * x). [para(18(a,1),1463(a,1,1)),flip(a)]. 1469 T(x,y) \ ((x * y) / x) != z | T(y / x,T(x,y)) = z. [para(1463(a,1),238(a,1,2))]. 1470 (L(x \ 1,x,y) * y) / L(x \ 1,x,y) = (y * x) * T(L(x \ 1,x,y),y). [para(283(a,1),1463(a,1,1)),flip(a)]. 1471 (L(x,1 / x,y) * y) / L(x,1 / x,y) = (y * (1 / x)) * T(L(x,1 / x,y),y). [para(311(a,1),1463(a,1,1)),flip(a)]. 1472 K(x \ (x / (x \ (x / y))),x) = x \ ((y * x) / y). [para(1463(a,1),1082(a,2,2))]. 1473 x \ ((y * (x * y)) / y) = T(y,x * y). [para(18(a,1),1466(a,2,1)),flip(a)]. 1474 (x * L(x \ (y * x),z,u)) / y = (x / y) * L(T(y,x),z,u). [para(1466(a,2),1333(a,1,2,1)),flip(a)]. 1475 ((x * (1 / T(x,y))) / x) * T(x,y) = T(x,T(x,y) \ 1) / x. [para(1065(a,1),1460(a,1,1,1))]. 1476 (x * T(y,z)) * y = (x * y) * T(y,z). [para(18(a,1),1461(a,1,1,1))]. 1478 (x * T(T(y,x),z)) * T(y,x) = (y * x) * T(T(y,x),z). [para(129(a,1),1461(a,1,1,1))]. 1479 (x * T(y,z)) \ ((x * y) * T(y,z)) = y. [para(18(a,1),1462(a,1,1,1))]. 1480 T(x * T(y,x * y),y) = x * y. [para(1467(a,1),142(a,1,1))]. 1481 x * T(y,x * y) != z | (y * (x * y)) / y = z. [para(1473(a,1),203(a,1,2)),flip(b)]. 1482 x * T(y,x * y) != z * u | ((y * (x * y)) / y) / u = z. [para(1473(a,1),298(a,1,2))]. 1483 (x * y) / T(y,z) = (x / T(y,z)) * y. [hyper(420,a,1476,a)]. 1484 ((x / T(y,z)) * y) * T(y,z) = x * y. [hyper(252,a,1476,a),flip(a)]. 1486 (x * (y / z)) * T(y / z,z) = (x * (z \ y)) * (y / z). [para(115(a,1),1476(a,1,1,2)),flip(a)]. 1487 R(T(x,y * T(x,z)),y,T(x,z)) = T(x,y). [para(1479(a,1),832(a,1,1)),flip(a)]. 1489 x * T(y,z) != u * y | (u / T(y,z)) * y = x. [para(1484(a,1),23(a,1)),flip(a)]. 1490 (x * y) / T(y,z) != u | (x / T(y,z)) * y = u. [para(1484(a,1),248(a,1,1)),flip(b)]. 1491 T(x,x / (x / T(y,x))) * T(y,x) = x * y. [para(1057(a,2),1484(a,1,1))]. 1492 R(T(x,L(x,y,x) * y),y,T(x,x * y)) = T(x,y). [para(559(a,1),1487(a,1,1,2))]. 1493 T(x,y * T(y \ x,x)) = x. [para(1464(a,1),180(a,1,2))]. 1494 T(x,x * (y * T(y \ 1,x))) = x. [para(569(a,1),1493(a,1,2))]. 1495 T(x,x * K(y,x)) = x. [para(903(a,2),1494(a,1,2,2))]. 1496 T(x,x * (y \ (z * T(z \ y,x)))) = x. [para(1071(a,1),1494(a,1,2,2))]. 1497 T(x * K(y,x),x) = x * K(y,x). [hyper(38,a,1495,a)]. 1498 T(x,x * (T(x,y) \ ((y \ x) * ((y \ x) \ x)))) = x. [para(1048(a,1),1496(a,1,2,2,2,2))]. 1499 (x \ y) \ K(T(x / y,T(y,x)),T(y,x)) = T((x \ y) \ 1,T(y,x)). [para(1465(a,1),1038(a,1,2,1))]. 1500 T(x,x / (x / T(y,x))) * (y * x) = x * (x * y). [para(1491(a,1),981(a,1,2)),flip(a)]. 1501 x / T(x,y) != z | (1 / T(x,y)) * x = z. [para(14(a,1),1490(a,1,1))]. 1502 T(x,x * (T(x,y) \ x)) = x. [para(17(a,1),1498(a,1,2,2,2))]. 1503 T(T(x,y),x * (T(x,z) \ x)) = T(x,y). [para(1502(a,1),41(a,1,1)),flip(a)]. 1504 (x * (T(x,y) \ x)) \ (x * x) = T(x,y). [hyper(189,a,999,a(flip),b,1503,a(flip)),flip(a)]. 1505 (x * x) / T(x,y) = x * (T(x,y) \ x). [para(1504(a,1),67(a,1,2))]. 1506 (x * (((T(y,x) \ y) * x) \ x)) \ (x * x) = T(x,R(T(y,x),T(y,x) \ 1,x)). [para(1299(a,1),1504(a,1,1,2,1))]. 1507 (x / T(x,y)) * x = x * (T(x,y) \ x). [hyper(1490,a,1505,a)]. 1508 T(x / T(x,y),x) = T(x,y) \ x. [hyper(147,a,1483,a(flip),b,1505,a(flip))]. 1509 T(((T(x,y) \ x) * x) / (T(x,y) \ x),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). [para(1505(a,2),563(a,1,2))]. 1510 T(x,y) * T(T(x,y) \ x,x) = (T(x,y) \ x) * T(x,y). [para(1508(a,1),323(a,1,1)),flip(a)]. 1511 T(x,x / (x / T(y,x))) = (x * (x * y)) / (y * x). [hyper(88,a,1500,a),flip(a)]. 1512 (x * (x * y)) / (y * x) = (x / T(y,x)) * y. [hyper(189,a,1057,a(flip),b,1511,a(flip))]. 1513 R(T(x,x / (1 / y)),y,x) = (x / T(y,x)) * y. [hyper(189,a,1429,a,b,1512,a(flip)),flip(a)]. 1514 (T(x,y) * z) * T(x,z) = (x * z) * T(T(x,z),y). [para(158(a,1),1478(a,1,1))]. 1515 T(T(x,x * y) * y,T(x,y)) = x * y. [hyper(147,a,1514,a,b,113,a(flip))]. 1516 T(T(x,x \ 1),y) / T(x,x \ 1) = T(x,y) * (x \ 1). [hyper(76,a,61,a(flip),b,1514,a)]. 1519 T(x * y,R(x,y,y \ 1)) = T(x * y,T(x,y)). [para(1515(a,1),1370(a,1,1))]. 1520 T((x / y) * y,T(x / y,y)) = T(x,R(x / y,y,y \ 1)). [para(19(a,1),1519(a,1,1)),flip(a)]. 1521 (x * (y / z)) * (z \ y) = (x * (z \ y)) * (y / z). [para(115(a,1),1486(a,1,2))]. 1522 (x * (y \ (y * z))) * ((y * z) / y) = (x * ((y * z) / y)) * z. [para(142(a,1),1486(a,1,2)),flip(a)]. 1523 (x * ((y / z) \ y)) * (y / (y / z)) = (x * (y / (y / z))) * z. [para(164(a,1),1486(a,1,2)),flip(a)]. 1524 (1 / (x / y)) * (y \ x) = (y \ x) / (x / y). [hyper(423,a,1521,a),flip(a)]. 1525 (x * (y \ z)) / (z / y) = (x / (z / y)) * (y \ z). [hyper(420,a,1521,a)]. 1526 (x \ y) \ ((x \ y) / (y / x)) = T(1 / (y / x),x \ y). [hyper(147,a,1524,a,b,17,a),flip(a)]. 1528 T(T(x,x \ 1),y) / T(x,x \ 1) = x \ T(x,y). [hyper(189,a,773,a(flip),b,1516,a)]. 1529 K(T(1 / (1 / x),x \ 1),x \ 1) = T(x,x \ 1) / x. [para(1526(a,1),889(a,1,1))]. 1530 T(x,x \ 1) / x = K(x,x \ 1). [para(952(a,1),1529(a,1,1)),flip(a)]. 1531 K(x,1 / x) = K(x,x \ 1). [hyper(602,a,1530,a)]. 1532 K(x,x \ 1) * x = T(x,x \ 1). [para(1530(a,1),19(a,1,1))]. 1533 ((x \ 1) \ 1) / x = K(x,x \ 1). [para(114(a,1),1530(a,1,1))]. 1535 K(x,x \ 1) = x * (1 / x). [hyper(305,a,1531,a),flip(a)]. 1536 K((x / y) \ x,1 / y) = K(y,y \ 1). [hyper(189,a,1216,a,b,1531,a(flip)),flip(a)]. 1537 x \ K(x,x \ 1) = 1 / x. [hyper(75,a,1531,a(flip),b,168,a(flip))]. 1538 K(x \ 1,(x \ 1) \ 1) = K(x \ 1,x). [para(67(a,1),1531(a,1,2)),flip(a)]. 1539 K(x,x \ 1) != y | x * (1 / x) = y. [para(1531(a,1),305(a,1))]. 1540 K(x,x \ 1) * x = (x \ 1) \ 1. [para(1531(a,1),492(a,1,1))]. 1541 (x \ 1) * K(x,x \ 1) = 1 / x. [para(1531(a,1),1091(a,1,2))]. 1542 T(x,y) \ K(x,x \ 1) != z | x * (T(x,y) \ (1 / x)) = z. [para(1531(a,1),1059(a,1,2))]. 1543 R(x \ 1,x,y) \ (((y / (x * y)) * x) * (1 / x)) = K(x,x \ 1). [hyper(189,a,1095,a,b,1535,a),flip(a)]. 1544 (1 / (1 / (1 / x))) * x = K(x,x \ 1). [hyper(189,a,955,a,b,1535,a),flip(a)]. 1545 K(x \ 1,x) \ 1 = x * (1 / x). [hyper(189,a,321,a,b,1535,a(flip)),flip(a)]. 1547 R(x,y,1 / y) * K(y,y \ 1) = (x * y) * (1 / y). [para(1535(a,2),110(a,1,2))]. 1548 K(x,x \ 1) * y != x * ((1 / x) * z) | L(z,1 / x,x) = y. [para(1535(a,2),346(a,1,1))]. 1550 (T((x / (1 / y)) / y,z) * y) * (1 / y) = T(x / (y * (1 / y)),z) * K(y,y \ 1). [para(1535(a,2),719(a,2,2))]. 1551 L(x,y,z) \ K(x,x \ 1) = x * (L(x,y,z) \ (1 / x)). [para(1535(a,2),963(a,1,2))]. 1552 (x * K(y,y \ 1)) * y = (x * y) * (y * (1 / y)). [para(1535(a,2),1424(a,1,1,2))]. 1553 x * L(x \ (y \ x),y,y \ 1) = K(y,y \ 1) * (y \ x). [para(1535(a,2),1444(a,2,1))]. 1554 x * (1 / x) != y | K(x,x \ 1) = y. [para(1537(a,1),203(a,1,2)),flip(b)]. 1555 x \ ((x / y) * K(y,y \ 1)) = L(1 / y,y,x / y). [para(1537(a,1),364(a,1,1)),flip(a)]. 1556 T(x,x \ 1) * y != K(x,x \ 1) * (x * z) | L(z,x,K(x,x \ 1)) = y. [para(1532(a,1),346(a,1,1))]. 1558 ((x \ 1) \ 1) / L(y \ x,y,K(x,x \ 1)) = K(x,x \ 1) * y. [para(1540(a,1),341(a,1,1))]. 1559 K(x,1 / x) != y | K(x,x \ 1) = y. [para(168(a,2),1554(a,1))]. 1560 (1 / (1 / (1 / x))) * x != y | K(x,x \ 1) = y. [para(955(a,2),1554(a,1))]. 1561 (K(x,x \ 1) * y) / (x * y) != z | R(1 / (1 / (1 / x)),x,y) = z. [para(1544(a,1),385(a,1,1,1))]. 1562 (x * K(y,y \ 1)) * y = (x * y) * K(y,y \ 1). [para(1535(a,2),1552(a,2,2))]. 1563 x \ ((y * x) * K(x,x \ 1)) = T(y * K(x,x \ 1),x). [hyper(147,a,1562,a,b,17,a),flip(a)]. 1564 (x * K(y,y \ 1)) \ ((x * y) * K(y,y \ 1)) = y. [hyper(80,a,1562,a)]. 1566 R(T(x,y * K(x,x \ 1)),y,K(x,x \ 1)) = T(x,y). [para(1564(a,1),832(a,1,1)),flip(a)]. 1567 T((x / y) * K(y,y \ 1),y) = y \ (x * K(y,y \ 1)). [para(19(a,1),1563(a,1,2,1)),flip(a)]. 1568 T((x / y) * y,T(x / y,y)) = T(x,x * (y \ 1)). [para(445(a,1),1520(a,2,2))]. 1569 T(x,T(x / y,y)) = T(x,x * (y \ 1)). [para(19(a,1),1568(a,1,1))]. 1570 T(x,x * (y \ 1)) = T(x,y \ x). [para(115(a,1),1569(a,1,2)),flip(a)]. 1571 x * (K(x,x \ 1) * (x \ y)) = (x * (1 / x)) * y. [para(1553(a,1),1445(a,1,2))]. 1572 K(x,x \ 1) * (x \ 1) = 1 / x. [hyper(20,a,15,a(flip),b,1571,a)]. 1573 x * (K(x,x \ 1) * (x \ y)) = K(x,x \ 1) * y. [para(1535(a,2),1571(a,2,1))]. 1574 (1 / x) / L(y,(x \ 1) / y,K(x,x \ 1)) = K(x,x \ 1) * ((x \ 1) / y). [para(1572(a,1),398(a,1,1))]. 1575 K(x,x \ 1) * (x * y) = x * (K(x,x \ 1) * y). [para(16(a,1),1573(a,1,2,2)),flip(a)]. 1576 (x \ 1) * (K(x \ 1,x) * ((x \ 1) \ y)) = K(x \ 1,(x \ 1) \ 1) * y. [para(1538(a,1),1573(a,1,2,1))]. 1577 K(x,x \ 1) * y != x * (K(x,x \ 1) * z) | x * z = y. [para(1575(a,1),22(a,1)),flip(a)]. 1578 (x / y) * T((x / y) \ 1,z) = (x * T(x \ y,z)) / y. [para(14(a,1),1458(a,1,1,2,1,2)),flip(a)]. 1579 (x / y) * T((x / y) \ z,x) = ((x \ (z * y)) * x) / y. [para(113(a,1),1458(a,1,1)),flip(a)]. 1580 ((x * y) / z) * T(((x * y) / z) \ x,u) = (x * (y * T(y \ z,u))) / z. [para(712(a,1),1458(a,1,1)),flip(a)]. 1581 ((x * T(y,z)) / T(y,z)) * T(((x * T(y,z)) / T(y,z)) \ (x * y),u) = ((x * T(y,z)) * T(y,u)) / T(y,z). [para(1479(a,1),1458(a,1,1,2,1)),flip(a)]. 1582 K(x \ (x / (y / z)),x) = (y * T(y \ z,x)) / z. [hyper(888,a,1578,a)]. 1583 K((x * (y / z)) \ x,x * (y / z)) = (y * T(y \ z,x * (y / z))) / z. [hyper(189,a,844,a,b,1578,a(flip)),flip(a)]. 1584 K(x \ (x / (y / z)),x) * z = y * T(y \ z,x). [para(1582(a,2),19(a,1,1))]. 1585 K(x \ (x / R(y,z,u)),x) = (((y * z) * u) * T(((y * z) * u) \ (z * u),x)) / (z * u). [para(33(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(1048(a,1),1582(a,2,1,2))]. 1587 K((x / y) \ 1,x / y) * y = x * T(x \ y,x / y). [para(64(a,1),1584(a,1,1,1,2))]. 1588 K((x / (y * x)) \ 1,x / (y * x)) * (y * x) = T(y,x / (y * x)) * x. [hyper(189,a,322,a(flip),b,1587,a)]. 1589 (x / y) * L(T(y,x),z,u) = (L(y,z,u) * x) / y. [para(500(a,1),1474(a,1,1)),flip(a)]. 1590 (L(x,y,z) * (u * x)) / x = u * L(T(x,u * x),y,z). [para(18(a,1),1589(a,1,1)),flip(a)]. 1591 T(x * L(T(y,x * y),z,u),y) = y \ (L(y,z,u) * (x * y)). [para(1590(a,1),115(a,1,1))]. 1592 T(x,y) * ((x * (T(x,y) \ 1)) / x) = T(x,T(x,y) \ 1) / x. [hyper(761,a,1475,a)]. 1593 (x * ((y * z) / y)) * z = (x * z) * ((y * z) / y). [para(16(a,1),1522(a,1,1,2)),flip(a)]. 1594 (1 / ((x * y) / x)) * y = y / ((x * y) / x). [hyper(423,a,1593,a),flip(a)]. 1595 ((x / y) * y) * ((x * y) / x) = T(x,x / (x / y)) * y. [para(1042(a,1),1593(a,1,1)),flip(a)]. 1596 T(x,x / (x / y)) * y = x * ((x * y) / x). [hyper(252,a,1595,a),flip(a)]. 1597 T(x,x / (x / y)) * (x \ y) = (x * y) / x. [hyper(980,a,1596,a)]. 1599 ((x * y) / x) / (x \ y) = T(x,x / (x / y)). [hyper(88,a,1597,a)]. 1601 T(x,x / (1 / (x \ y))) = T(x,x / (x / y)). [hyper(189,a,1428,a,b,1599,a(flip)),flip(a)]. 1602 T(x,x / (x / (x * y))) = T(x,x / (1 / y)). [para(16(a,1),1601(a,1,2,2,2)),flip(a)]. 1603 ((x / y) * (x / (x / y))) * y = x * (x / (x / y)). [hyper(411,a,1523,a),flip(a)]. 1604 (x * (y / (y / z))) * z = (x * z) * (y / (y / z)). [para(69(a,1),1523(a,1,1,2)),flip(a)]. 1606 (1 / (x / (x / y))) * y = y / (x / (x / y)). [hyper(423,a,1604,a),flip(a)]. 1607 x / (1 / (1 / x)) = K(x,x \ 1). [hyper(1560,a,1606,a),flip(a)]. 1608 x / (1 / (1 / x)) = K(x,1 / x). [hyper(189,a,1531,a,b,1607,a)]. 1609 K(x,x \ 1) * (1 / (1 / x)) = x. [para(1607(a,1),19(a,1,1))]. 1610 K(x,1 / x) * (1 / (1 / x)) = x. [para(1608(a,1),19(a,1,1))]. 1611 L(1 / (1 / x),K(x,x \ 1),y) = (y * K(x,x \ 1)) \ (y * x). [para(1609(a,1),31(a,2,2,2))]. 1612 x * L(y,1 / (1 / x),K(x,x \ 1)) = K(x,x \ 1) * ((1 / (1 / x)) * y). [para(1609(a,1),102(a,1,1))]. 1613 L(x,1 / x,x) = 1 / (1 / x). [hyper(466,a,1610,a)]. 1614 L(T(x,y),1 / x,x) = T(1 / (1 / x),y). [para(1613(a,1),43(a,2,1))]. 1615 K(x,1 / x) \ (x * (T(x,y) / x)) = T(1 / (1 / x),y). [hyper(189,a,808,a,b,1614,a(flip)),flip(a)]. 1616 K(x,1 / x) * T(1 / (1 / x),y) = x * (T(x,y) / x). [para(1615(a,1),17(a,1,2))]. 1617 K(x,x \ 1) * T(1 / (1 / x),y) = x * (T(x,y) / x). [para(1531(a,1),1616(a,1,1))]. 1618 T(x * L(T(y,x * y),z,u),y) = L(y,z,u) * (y \ (x * y)). [hyper(189,a,961,a(flip),b,1591,a)]. 1619 T(x,y) * ((T(x,y) \ x) / x) = T(x,T(x,y) \ 1) / x. [para(987(a,1),1592(a,1,2,1))]. 1620 x * (T(x,T(x,y) \ 1) / x) = T(x,x / (x * T(x,y))). [para(1592(a,1),1400(a,1,2))]. 1621 (T(x,T(x,y) \ 1) / x) * x = T(x,x / (x * T(x,y))). [para(1619(a,1),1365(a,1,1))]. 1622 T(x,x / (x * T(x,y))) = T(x,T(x,y) \ 1). [hyper(200,a,1621,a)]. 1624 x * (T(x,T(x,y) \ 1) / x) = T(x,T(x,y) \ 1). [hyper(189,a,1620,a,b,1622,a(flip)),flip(a)]. 1625 x * (T(x,y) * ((T(x,y) \ x) / x)) = T(x,T(x,y) \ 1). [para(1619(a,2),1624(a,1,2))]. 1626 T(x * L(T(y,x * y),z,u),y) = L(y,z,u) * T(x,y). [para(35(a,2),1618(a,2,2))]. 1627 (x \ y) * T((x \ y) \ 1,T(y,x)) = K(T(x / y,T(y,x)),T(y,x)). [para(1499(a,1),17(a,1,2))]. 1628 K(T(x / y,T(y,x)),T(y,x)) = x \ (y * T(y \ x,T(y,x))). [hyper(189,a,1071,a(flip),b,1627,a(flip))]. 1629 T(x,x \ 1) * y != x * (K(x,x \ 1) * z) | L(z,x,K(x,x \ 1)) = y. [para(1575(a,1),1556(a,2))]. 1630 (x \ 1) * (K(x \ 1,x) * ((x \ 1) \ y)) = K(x \ 1,x) * y. [para(1538(a,1),1576(a,2,1))]. 1631 (x \ 1) \ (K(x \ 1,x) * y) = K(x \ 1,x) * ((x \ 1) \ y). [hyper(80,a,1630,a)]. 1632 K(x \ (x / ((y \ x) / T(x,y))),x) = x / T(x,y). [para(17(a,1),1586(a,2,1))]. 1633 (x * y) * R((x * y) \ (z * y),u,w) = (R(z / x,u,w) * x) * y. [hyper(639,a,664,a),flip(a)]. 1634 (x * y) * R((x * y) \ (z * y),u,w) = (x * R(x \ z,u,w)) * y. [para(510(a,1),1633(a,2,1))]. 1635 ((x / y) * R((x / y) \ z,u,w)) * y = x * R(((x / y) * y) \ (z * y),u,w). [hyper(252,a,1634,a),flip(a)]. 1636 x * (y * R(y \ (x \ (z * y)),u,w)) = (x * R(x \ z,u,w)) * y. [hyper(189,a,810,a(flip),b,1634,a(flip)),flip(a)]. 1637 x * R(x \ (x \ (y * x)),z,u) = T(x * R(x \ y,z,u),x). [hyper(147,a,1634,a(flip),b,810,a(flip)),flip(a)]. 1638 (x \ (y * z)) * R((x \ (y * z)) \ z,u,w) = x \ ((y * R(y \ x,u,w)) * z). [hyper(75,a,1634,a(flip),b,934,a),flip(a)]. 1639 (x * y) * R((x * y) \ y,z,u) = (x * R(x \ 1,z,u)) * y. [para(14(a,1),1634(a,1,2,1,2))]. 1640 (x * R(x \ (x * y),z,u)) * y = (x * y) * R(y,z,u). [para(16(a,1),1634(a,1,2,1)),flip(a)]. 1643 (x * R(y,z,u)) * y = (x * y) * R(y,z,u). [para(16(a,1),1640(a,1,1,2,1))]. 1644 ((x / R(y,z,u)) * y) \ (x * y) = R(y,z,u). [hyper(430,a,1643,a)]. 1645 (x * R(y,z,u)) \ ((x * y) * R(y,z,u)) = y. [hyper(80,a,1643,a)]. 1646 (x * R(y,z,u)) / y = (x / y) * R(y,z,u). [hyper(76,a,90,a(flip),b,1643,a)]. 1647 ((x / y) * R(y,z,u)) \ (x * R(y,z,u)) = y. [hyper(75,a,90,a(flip),b,1643,a)]. 1648 (x * T(y,x)) * R(T(y,x),z,u) = (R(y,z,u) * x) * T(y,x). [para(160(a,1),1643(a,1,1)),flip(a)]. 1649 (x * y) / R(y,z,u) != w | (x / R(y,z,u)) * y = w. [para(1644(a,1),246(a,1,2)),flip(b)]. 1650 (x * T(x \ (x * y),z)) * R(y,u,w) = (x * R(y,u,w)) * T(y,z). [para(1645(a,1),1100(a,1,2,1)),flip(a)]. 1651 T(x * R(x \ y,z,u),x) = x * R(x \ T(y,x),z,u). [para(35(a,2),1637(a,1,2,1,2)),flip(a)]. 1652 T(x * R(x \ 1,y,z),x) = x * R(x \ 1,y,z). [para(191(a,1),1651(a,2,2,1,2))]. 1653 T(x,x * R(x \ 1,y,z)) = x. [hyper(38,a,1652,a)]. 1654 T(x * ((x * R(x \ 1,y,z)) / x),x) = x * ((x * R(x \ 1,y,z)) / x). [para(1652(a,1),1176(a,2,2,1))]. 1655 T(1 / x,(1 / x) * R(x,y,z)) = 1 / x. [para(69(a,1),1653(a,1,2,2,1))]. 1656 T(x,(y / (x * y)) * x) = x. [para(522(a,2),1653(a,1,2))]. 1657 T(x \ 1,R(x,y,z) * (x \ 1)) = x \ 1. [para(513(a,1),1653(a,1,2))]. 1658 T(x \ 1,x \ R(x,y,z)) = x \ 1. [para(865(a,1),1653(a,1,2))]. 1659 T(x,y / (x * y)) * T(y / (x * y),x) = T(x * (y / (x * y)),x). [para(1656(a,1),1014(a,1,1,1)),flip(a)]. 1660 T(T(x \ 1,y),x \ R(x,z,u)) = T(x \ 1,y). [para(1658(a,1),41(a,1,1)),flip(a)]. 1661 (R(x,y,z) * (1 / x)) / R(x,y,z) = L(1 / x,R(x,y,z),1 / x). [para(1655(a,1),561(a,1,1,2))]. 1662 R(x \ 1,R(x,y,z),x \ 1) = T(x \ 1,R(x,y,z)). [para(1657(a,1),615(a,1,1))]. 1663 x * ((x * y) * R((x * y) \ y,z,u)) = (x * R(x \ 1,z,u)) * (x * y). [hyper(189,a,809,a(flip),b,1639,a(flip)),flip(a)]. 1664 (R(x,y,z) * u) * T(x,u) = (x * u) * R(T(x,u),y,z). [para(113(a,1),1648(a,1,1)),flip(a)]. 1665 (x * T(y,z)) * R(y,u,w) = (x * R(y,u,w)) * T(y,z). [para(16(a,1),1650(a,1,1,2,1))]. 1666 (x * R(y,z,u)) * T(y,x) = (y * x) * R(y,z,u). [para(113(a,1),1665(a,1,1)),flip(a)]. 1667 R(x,y,R(x,z,u)) * (y * R(x,z,u)) = (y * R(x,z,u)) * T(x,y). [hyper(189,a,110,a,b,1666,a),flip(a)]. 1669 T(x,y / (x * y)) * R(x \ 1,x,y) = T(x * (y / (x * y)),x). [para(517(a,1),1659(a,1,2))]. 1670 T(L(1 / x,R(x,y,z),1 / x),x) = (x \ R(x,y,z)) / R(x,y,z). [para(1661(a,1),873(a,1,1))]. 1671 L(x \ 1,R(x,y,z),1 / x) = (x \ R(x,y,z)) / R(x,y,z). [hyper(674,a,1670,a)]. 1672 T(x * ((x * R(x \ 1,y,z)) / x),x) = x * R(1 / x,y,z). [para(516(a,1),1654(a,2,2))]. 1673 T(x * R(1 / x,y,z),x) = x * R(1 / x,y,z). [para(516(a,1),1672(a,1,1,2))]. 1674 T(x * (y / (x * y)),x) = x * R(1 / x,x,y). [para(141(a,1),1673(a,1,1,2))]. 1675 T(x * (y / (x * y)),x) = x * (y / (x * y)). [para(141(a,1),1674(a,2,2))]. 1676 T(x,x * (y / (x * y))) = x. [hyper(38,a,1675,a)]. 1677 T(x,y / (x * y)) * R(x \ 1,x,y) = x * (y / (x * y)). [hyper(189,a,1669,a,b,1675,a(flip)),flip(a)]. 1678 T(x,x * ((x \ y) / y)) = x. [para(17(a,1),1676(a,1,2,2,2))]. 1679 T(x / y,(x / y) * (y / x)) = x / y. [para(19(a,1),1676(a,1,2,2,2))]. 1680 T((x \ y) \ y,x * ((x \ z) / z)) = T(x,x \ y). [para(1678(a,1),221(a,1,1)),flip(a)]. 1681 T(x \ y,(y / x) * (x / y)) = T(y / x,x). [para(1679(a,1),161(a,1,1)),flip(a)]. 1682 T(x \ y,(y / x) * (x / y)) = x \ y. [hyper(189,a,115,a(flip),b,1681,a)]. 1683 K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)) = (y * (y \ x)) / x. [para(1682(a,1),1583(a,2,1,2))]. 1684 K((x * ((x \ y) / y)) \ x,x * ((x \ y) / y)) = ((x \ y) * T(x,x \ y)) / y. [para(1680(a,1),1583(a,2,1,2))]. 1685 (x * R(x \ 1,y,z)) * (x * u) = x * ((x * R(x \ 1,y,z)) * u). [para(1639(a,1),1663(a,1,2)),flip(a)]. 1686 (x \ 1) * (((x \ 1) * R((x \ 1) \ 1,y,z)) * u) = (x \ R(x,y,z)) * ((x \ 1) * u). [para(865(a,1),1685(a,1,1)),flip(a)]. 1687 K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)) = x / x. [para(17(a,1),1683(a,2,1))]. 1688 K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)) = 1. [hyper(189,a,64,a(flip),b,1687,a)]. 1690 R((x * (y * z)) / (x * y),u,w) = (x * (y * R(z,u,w))) / (x * y). [para(351(a,1),677(a,1,1)),flip(a)]. 1691 (T(x,y) * (1 / x)) / T(x,y) = L(1 / x,T(x,y),1 / x). [hyper(189,a,1141,a(flip),b,799,a(flip)),flip(a)]. 1693 T(L(1 / x,T(x,y),1 / x),x) = (T(x,y) * (x \ 1)) / T(x,y). [para(1691(a,1),546(a,1,1))]. 1694 (T(x,y) * (x \ 1)) / T(x,y) = L(x \ 1,T(x,y),1 / x). [hyper(674,a,1693,a),flip(a)]. 1695 x * L(x \ 1,T(x,y),1 / x) = K(T(x,y),1 / x). [para(1694(a,1),1322(a,1,2))]. 1696 x * T(T(x \ (y * x),z),u) = y * (T(T(y,z),u) * (y \ x)). [para(825(a,1),944(a,1,2))]. 1697 x * T(T(T(y,x),z),u) = y * (T(T(y,z),u) * (y \ x)). [para(35(a,2),1696(a,1,2,1,1))]. 1698 x * (T(T(x,y),z) * (x \ u)) = T(T(x,y),z) * u. [hyper(572,a,1697,a),flip(a)]. 1699 L(T(x,y),y,K(x \ 1,x)) != z | T(x,K(x \ 1,x) * y) = z. [para(1193(a,1),238(a,1))]. 1700 (L(x \ 1,x,y) * y) / L(x \ 1,x,y) = y * (x * T(x \ 1,y)). [hyper(189,a,350,a(flip),b,1470,a)]. 1701 x \ ((L(y \ 1,y,x) * x) / L(y \ 1,y,x)) = (x * (y * T(y \ 1,x))) * (x \ 1). [para(1700(a,1),1106(a,1,1)),flip(a)]. 1702 (x * (((T(y,x) \ y) * x) \ x)) \ (x * x) = (T(y,x) \ y) * x. [hyper(189,a,1299,a(flip),b,1506,a)]. 1703 (T(x,y) * (L(x,z,u) * y)) \ ((y * L(T(x,y),z,u)) * T(T(x,y),y)) = a(T(x,y),y,L(T(x,y),z,u)). [para(1270(a,2),499(a,1,2))]. 1704 a(x,y,z) = L(L(z,y,x) \ z,(x * y) \ (x * (y * z)),x * y). [para(31(a,2),581(a,2,1,1))]. 1705 (((x / y) * (1 / (x / y))) * y) / x = ((x / y) * (y / x)) / (x / y). [para(19(a,1),830(a,1,1,2,2)),flip(a)]. 1706 (K(x / y,(x / y) \ 1) * y) / x = ((x / y) * (y / x)) / (x / y). [para(1535(a,2),1705(a,1,1,1))]. 1707 (x \ 1) * ((x \ T(x,y)) * ((x \ 1) \ z)) = (x \ T(x,y)) * z. [para(770(a,1),1157(a,2,1))]. 1708 (x \ T(x,y)) * ((x \ 1) \ ((x \ 1) / (x \ T(x,y)))) = K(x \ T(x,y),(x \ 1) / (x \ T(x,y))). [hyper(20,a,214,a,b,1707,a)]. 1709 a(x,x \ y,T(z,x * (x \ y))) = (L(z,x \ y,x) * y) \ (z * y). [para(17(a,1),1220(a,1,2,2)),flip(a)]. 1710 (L(x,y \ z,y) * z) \ (x * z) = a(y,y \ z,T(x,z)). [para(17(a,1),1709(a,1,3,2)),flip(a)]. 1712 R((x \ 1) \ (x \ y),z,u) * (x \ 1) = x \ R(T(y,x \ 1),z,u). [para(17(a,1),1284(a,1,2,1)),flip(a)]. 1713 (x \ R(T(y,x \ 1),z,u)) / (x \ 1) = R((x \ 1) \ (x \ y),z,u). [hyper(88,a,1712,a)]. 1715 R((x \ 1) \ (x \ y),z,u) = (x \ 1) \ (x \ R(y,z,u)). [hyper(189,a,805,a(flip),b,1713,a(flip))]. 1716 x \ ((y * x) * R((y * x) \ x,z,u)) = T(y,x) * R(T(y,x) \ 1,z,u). [para(35(a,2),1317(a,2,2,1,1))]. 1717 x \ ((y * R(y \ 1,z,u)) * x) = T(y,x) * R(T(y,x) \ 1,z,u). [para(1639(a,1),1716(a,1,2))]. 1718 T(x,y) * R(T(x,y) \ 1,z,u) != w | T(x * R(x \ 1,z,u),y) = w. [para(1717(a,1),238(a,1))]. 1719 K(x,(y * x) \ y) * x = T(x,(y * x) \ y). [para(16(a,1),1448(a,1,1,1))]. 1720 T(x,(y * x) \ y) / x = K(x,(y * x) \ y). [hyper(88,a,1719,a)]. 1722 ((x / y) * R((x / y) \ z,u,w)) * y = x * R(x \ (z * y),u,w). [para(19(a,1),1635(a,2,2,1,1))]. 1723 (x * R(x \ (y * z),u,w)) / z = (x / z) * R((x / z) \ y,u,w). [hyper(88,a,1722,a)]. 1724 (x / y) * R((x / y) \ 1,z,u) = (x * R(x \ y,z,u)) / y. [para(14(a,1),1723(a,1,1,2,1,2)),flip(a)]. 1725 (((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(33(a,2),1724(a,1,1)),flip(a)]. 1726 (x \ ((y \ x) * z)) * R((x \ ((y \ x) * z)) \ z,u,w) = x \ ((R(y,u,w) * (y \ x)) * z). [para(513(a,1),1638(a,2,2,1))]. 1727 K((x * ((x \ y) / y)) \ x,x * ((x \ y) / y)) = y / y. [para(145(a,1),1684(a,2,1))]. 1728 K((x * ((x \ y) / y)) \ x,x * ((x \ y) / y)) = 1. [hyper(189,a,64,a(flip),b,1727,a)]. 1730 T(1 / ((x \ y) / y),x * ((x \ y) / y)) = 1 / ((x \ y) / y). [para(1728(a,1),845(a,1,1)),flip(a)]. 1731 (x * ((x \ y) / y)) \ x = 1 / ((x \ y) / y). [hyper(189,a,1394,a(flip),b,1730,a(flip)),flip(a)]. 1732 ((x / y) * (y / x)) \ (x / y) = 1 / (((x / y) \ x) / x). [para(69(a,1),1731(a,1,1,2,1))]. 1733 ((x / y) * (y / x)) \ (x / y) = 1 / (y / x). [para(69(a,1),1732(a,2,2,1))]. 1734 ((x / y) * (y / x)) * (1 / (y / x)) = x / y. [para(1733(a,1),17(a,1,2))]. 1736 K(1 / (x / y),(y / x) * (x / y)) = 1. [para(1733(a,1),1688(a,1,1))]. 1737 K(1 / x,(y / (x * y)) * ((x * y) / y)) = 1. [para(18(a,1),1736(a,1,1,2))]. 1738 ((x * y) / y) * (y / (x * y)) = x / (1 / (y / (x * y))). [hyper(76,a,18,a(flip),b,1734,a),flip(a)]. 1739 K(1 / x,(y / (x * y)) * x) = 1. [para(18(a,1),1737(a,1,2,2))]. 1740 T(1 / x,(y / (x * y)) * x) = 1 / x. [hyper(40,a,1739,a)]. 1741 L(x \ 1,x,y / (x * y)) = 1 / x. [hyper(1282,a,1740,a)]. 1742 L(x \ 1,x,R(1 / x,x,y)) = 1 / x. [para(141(a,2),1741(a,1,3))]. 1743 ((x / (y * x)) * y) * (1 / y) = x / (y * x). [para(1741(a,1),278(a,1,2))]. 1744 R(1 / x,x,y) / (1 / x) = R(1 / x,x,y) * x. [para(1742(a,1),283(a,1,2))]. 1745 R(x \ 1,x,y) \ (y / (x * y)) = K(x,x \ 1). [para(1743(a,1),1543(a,1,2))]. 1746 x / (y * x) = R(y \ 1,y,x) * K(y,y \ 1). [para(1745(a,1),17(a,1,2)),flip(a)]. 1747 T(1 / (1 / x),R(1 / x,x,y)) = x. [hyper(879,a,1744,a)]. 1748 T(1 / (1 / (x / y)),y / x) = x / y. [para(287(a,1),1747(a,1,2))]. 1749 T(x,R(1 / x,x,y)) = T(x,x \ 1). [para(1747(a,1),953(a,1,1)),flip(a)]. 1750 x * K(x,1 / x) = T(x,x \ 1). [hyper(189,a,1407,a(flip),b,1749,a(flip)),flip(a)]. 1751 T(x,y / (x * y)) = T(x,x \ 1). [para(141(a,1),1749(a,1,2))]. 1752 T(x,(x \ y) / y) = T(x,x \ 1). [para(286(a,1),1749(a,1,2))]. 1753 x \ ((x \ 1) \ 1) = K(x,1 / x). [hyper(75,a,114,a(flip),b,1750,a)]. 1754 x * K(x,x \ 1) = T(x,x \ 1). [para(1531(a,1),1750(a,1,2))]. 1755 T(x,y / (x * y)) = (x \ 1) \ 1. [hyper(189,a,114,a(flip),b,1751,a)]. 1756 K((x / (y * x)) \ 1,x / (y * x)) * (y * x) = T(y,y \ 1) * x. [para(1751(a,1),1588(a,2,1))]. 1757 ((x \ y) / y) * T(x,x \ 1) != z | x * ((x \ y) / y) = z. [para(1752(a,1),205(a,1,2))]. 1758 x \ (x \ ((x \ 1) \ 1)) = 1 / x. [hyper(75,a,1753,a,b,168,a(flip))]. 1759 x \ (T(x,y) \ ((x \ 1) \ 1)) = T(x,y) \ K(x,1 / x). [hyper(75,a,1753,a(flip),b,978,a),flip(a)]. 1760 x \ ((x \ 1) \ 1) != y | K(x,x \ 1) = y. [para(1753(a,2),1559(a,1))]. 1761 x * K(x,x \ 1) = (x \ 1) \ 1. [hyper(189,a,114,a(flip),b,1754,a)]. 1762 T(x,x \ 1) * L(y,K(x,x \ 1),x) = x * (K(x,x \ 1) * y). [para(1754(a,1),102(a,1,1))]. 1764 (T(x,x \ 1) * y) / (K(x,x \ 1) * y) != z | R(x,K(x,x \ 1),y) = z. [para(1754(a,1),385(a,1,1,1))]. 1765 T(x / y,y / x) = ((x / y) \ 1) \ 1. [para(19(a,1),1755(a,1,2,2))]. 1767 ((x / y) * (y / x)) / (x / y) = 1 / (1 / (y / x)). [para(1748(a,1),143(a,1,1,2))]. 1769 (x / y) * (((y / x) \ 1) \ 1) = (y / x) * (x / y). [para(1765(a,1),113(a,1,2))]. 1770 ((((x * y) / x) \ 1) \ 1) * x = x * T(y,x / (x * y)). [para(1765(a,1),325(a,1,1))]. 1771 x \ T(x,y / (x * y)) != z | K(x,x \ 1) = z. [para(1755(a,2),1760(a,1,2))]. 1772 x / (1 / (y / (x * y))) = x * (y / (x * y)). [para(18(a,1),1738(a,1,1)),flip(a)]. 1773 K(x \ (x * (y / (x * y))),x) = R(x \ 1,x,y) / (y / (x * y)). [para(1772(a,1),895(a,1,1,2))]. 1774 x \ (T(x,y) \ ((x \ 1) \ 1)) = x * (T(x,y) \ (1 / x)). [hyper(189,a,1009,a(flip),b,1759,a)]. 1775 T(x,((y * x) / y) \ 1) = T(x,y / (y * x)). [hyper(945,a,1770,a)]. 1776 ((x \ 1) \ 1) * (x \ (T(x,y) \ 1)) = x * (T(x,y) \ (1 / x)). [hyper(189,a,1307,a,b,1774,a(flip)),flip(a)]. 1777 L(x,K(y,y \ 1),y) = L(x,y,K(y,y \ 1)). [hyper(1629,a,1762,a),flip(a)]. 1778 R(x \ 1,x,y) / (y / (x * y)) = K(y / (x * y),x). [hyper(189,a,1215,a(flip),b,1773,a(flip))]. 1780 K(x / (y * x),y) * (x / (y * x)) != z | R(y \ 1,y,x) = z. [para(1778(a,1),200(a,1,1)),flip(b)]. 1782 R(x * y,z,K(y * z,R(x,y,z))) \ ((y * z) * R(x,y,z)) = z * K(y * z,R(x,y,z)). [hyper(726,a,110,a(flip))]. 1783 (x * y) * ((z * ((x * y) \ (u * y))) / z) = (((z * (u / x)) / z) * x) * y. [hyper(699,a,759,a),flip(a)]. 1784 (((x * ((y / z) / u)) / x) * u) * z = (u * z) * ((x * ((u * z) \ y)) / x). [para(19(a,1),1783(a,1,2,1,2,2)),flip(a)]. 1785 (x * y) * ((z * ((x * y) \ (u * y))) / z) = (x * ((z * (x \ u)) / z)) * y. [para(680(a,1),1783(a,2,1))]. 1786 (x * y) * ((x * ((x * y) \ z)) / x) = (x * ((z / y) / x)) * y. [hyper(252,a,1784,a),flip(a)]. 1787 (x * y) * ((x * ((x * y) \ z)) / x) != u | (x * ((z / y) / x)) * y = u. [para(1784(a,1),252(a,1))]. 1788 (x * ((x / y) / x)) * y = T(x,x / (x * y)). [hyper(1044,a,1786,a),flip(a)]. 1789 x * (y * ((x * (y \ (x \ z))) / x)) = (x * ((z / y) / x)) * y. [hyper(189,a,936,a(flip),b,1786,a(flip)),flip(a)]. 1790 x \ T(y,y / (y * x)) = T(y * ((y / x) / y),x). [hyper(147,a,1788,a,b,17,a),flip(a)]. 1792 (x * (R(y / z,z,y \ u) / x)) * (z * (y \ u)) = x * ((z * (y \ u)) * ((x * ((z * (y \ u)) \ (x \ u))) / x)). [para(390(a,2),1789(a,2,1,2,1)),flip(a)]. 1793 T(x,x / (x * y)) != z | (x * ((x / y) / x)) * y = z. [para(1039(a,1),1787(a,1))]. 1795 x * (y * ((z * (y \ (x \ (u * y)))) / z)) = (x * ((z * (x \ u)) / z)) * y. [hyper(189,a,936,a(flip),b,1785,a(flip)),flip(a)]. 1796 (x * y) * ((z * ((x * y) \ y)) / z) = (x * ((z * (x \ 1)) / z)) * y. [para(14(a,1),1785(a,1,2,1,2,2))]. 1797 (x * ((y * (x \ 1)) / y)) * x = x * (x * ((y * (x \ 1)) / y)). [hyper(189,a,1398,a(flip),b,1796,a(flip))]. 1798 x * ((x * y) * ((z * ((x * y) \ y)) / z)) = (x * ((z * (x \ 1)) / z)) * (x * y). [hyper(189,a,1397,a(flip),b,1796,a(flip)),flip(a)]. 1799 T(x * ((y * (x \ 1)) / y),z) = K(y,(y / T(x,z)) / y). [hyper(147,a,1796,a(flip),b,1416,a(flip))]. 1801 (x * ((y / (z * (x \ y))) / x)) * (z * (x \ y)) = x * ((z * ((x * (z \ 1)) / x)) * (x \ y)). [para(1796(a,1),1789(a,1,2)),flip(a)]. 1802 T(x,y) * ((z * (T(x,y) \ 1)) / z) = T(x * ((z * (x \ 1)) / z),y). [hyper(189,a,1319,a(flip),b,1799,a),flip(a)]. 1803 (1 / x) * ((1 / x) * ((y * ((1 / x) \ 1)) / y)) = (((y * x) / y) / x) * (1 / x). [para(1427(a,1),1797(a,1,1)),flip(a)]. 1804 T(x,y) * ((x * (T(x,y) \ 1)) / x) = T(x * (1 / x),y). [para(17(a,1),1802(a,2,1,2,1))]. 1805 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(326(a,2),1802(a,2,1,2,1)),flip(a)]. 1806 T(x,y) * ((T(x,y) \ x) / x) = T(x * (1 / x),y). [para(987(a,1),1804(a,1,2,1))]. 1807 T(x,y) * ((T(x,y) \ x) / x) = T(K(x,x \ 1),y). [para(1535(a,2),1806(a,2,1))]. 1808 x * T(K(x,x \ 1),y) = T(x,T(x,y) \ 1). [para(1807(a,1),1625(a,1,2))]. 1809 (x * ((y * (x \ z)) / y)) * y = x * (y * ((x \ (z * y)) / y)). [para(17(a,1),1795(a,1,2,2,1)),flip(a)]. 1810 ((x * y) * ((z * ((x * y) \ x)) / z)) * z = (x * y) * (z * (L(y \ z,y,x) / z)). [para(104(a,2),1809(a,2,2,2,1))]. 1811 (x * ((y * (x \ 1)) / y)) * (x * z) = x * ((x * ((y * (x \ 1)) / y)) * z). [para(1796(a,1),1798(a,1,2)),flip(a)]. 1812 K(x,(x / y) / x) * (y * z) = y * ((y * ((x * (y \ 1)) / x)) * z). [para(1319(a,2),1811(a,1,1))]. 1813 (((x * y) / x) / y) * (1 / y) = (1 / y) * (((x * y) / x) / y). [para(1427(a,1),1803(a,1,2)),flip(a)]. 1814 ((1 / x) * (((y * x) / y) / x)) / (1 / x) = ((y * x) / y) / x. [hyper(88,a,1813,a)]. 1815 R(((x * y) / x) / y,y,x) = ((1 / y) * ((x * y) / (y * x))) / (1 / y). [para(1814(a,1),696(a,1,1))]. 1816 ((1 / x) * ((y * x) / (x * y))) / (1 / x) = (y * x) / (x * y). [hyper(189,a,187,a(flip),b,1815,a(flip))]. 1817 T((x * y) / (y * x),y * x) = ((1 / y) * ((y * x) \ (x * y))) / (1 / y). [para(1816(a,1),546(a,1,1))]. 1818 ((1 / x) * ((x * y) \ (y * x))) / (1 / x) = (x * y) \ (y * x). [hyper(307,a,1817,a),flip(a)]. 1819 K(x,y) = ((1 / y) * ((y * x) \ (x * y))) / (1 / y). [hyper(189,a,29,a,b,1818,a),flip(a)]. 1820 ((1 / x) * K(y,x)) / (1 / x) = K(y,x). [para(29(a,2),1819(a,2,1,2)),flip(a)]. 1821 K(x,y) * (1 / y) = (1 / y) * K(x,y). [para(1820(a,1),19(a,1,1))]. 1822 (K(x,y) * (1 / y)) / K(x,y) = 1 / y. [para(1820(a,1),72(a,1,1,1))]. 1823 K(x \ 1,x) * (1 / x) = x \ 1. [hyper(189,a,1198,a(flip),b,1821,a)]. 1824 T(1 / x,K(y,x)) = 1 / x. [hyper(148,a,1821,a)]. 1825 K(1 / x,K(y,x)) = 1. [hyper(39,a,1824,a)]. 1826 K(x,K(y,x \ 1)) = 1. [para(67(a,1),1825(a,1,1))]. 1827 T(x,K(y,x \ 1)) = x. [hyper(40,a,1826,a)]. 1828 x * (1 / y) != y \ 1 | K(y \ 1,y) = x. [para(1823(a,1),23(a,1)),flip(a)]. 1829 (x \ 1) / (1 / x) != y | K(x \ 1,x) = y. [para(1823(a,1),248(a,1,1)),flip(b)]. 1830 (x \ 1) * L(y,1 / x,K(x \ 1,x)) = K(x \ 1,x) * ((1 / x) * y). [para(1823(a,1),102(a,1,1))]. 1831 R(x,K(y \ 1,y),1 / y) * (y \ 1) = (x * K(y \ 1,y)) * (1 / y). [para(1823(a,1),110(a,1,2))]. 1832 (x \ 1) \ (K(x \ 1,x) * y) != z | L((1 / x) \ y,1 / x,K(x \ 1,x)) = z. [para(1823(a,1),437(a,1,1))]. 1833 R(1 / x,y,z) \ (K(u,x) * R(1 / x,y,z)) = K(u,x). [para(1822(a,1),671(a,1,1,1))]. 1834 K(1 / x,1 / (1 / x)) != y | K(x \ 1,x) = y. [para(496(a,2),1829(a,1))]. 1835 K(1 / x,(1 / x) \ 1) = K(x \ 1,x). [hyper(1834,a,1531,a),flip(a)]. 1836 K(1 / x,x) = K(x \ 1,x). [para(69(a,1),1835(a,1,2))]. 1837 L(x,1 / y,K(1 / y,(1 / y) \ 1)) = L(x,K(y \ 1,y),1 / y). [para(1835(a,1),1777(a,1,2)),flip(a)]. 1838 K((x \ 1) \ 1,x \ 1) = K(x,x \ 1). [para(67(a,1),1836(a,1,1)),flip(a)]. 1839 T(K(x,y),R(1 / y,z,u)) = K(x,y). [hyper(238,a,1833,a)]. 1840 T(K(x,y),z / (y * z)) = K(x,y). [para(141(a,1),1839(a,1,2))]. 1841 T(K(x,y),y \ 1) = K(x,y). [para(446(a,1),1839(a,1,2))]. 1842 T(x \ 1,K(y,x)) = x \ 1. [hyper(38,a,1841,a)]. 1843 T((x \ 1) * T((x \ 1) \ 1,y),K(z,x)) = (x \ 1) * T(T(x \ 1,K(z,x)) \ 1,y). [para(1842(a,1),1373(a,1,1)),flip(a)]. 1844 K(x,y) * (z / (y * z)) = (z / (y * z)) * K(x,y). [para(1840(a,1),113(a,1,2)),flip(a)]. 1845 (x / (y * x)) * K(x / (y * x),y) = R(y \ 1,y,x). [hyper(1780,a,1844,a),flip(a)]. 1847 L(x \ L(y,1 / x,K(x \ 1,x)),x,x \ 1) = (1 / x) * y. [hyper(833,a,1830,a(flip))]. 1848 L((1 / x) \ y,1 / x,K(x \ 1,x)) = K(x \ 1,x) * ((x \ 1) \ y). [hyper(1832,a,1631,a)]. 1849 T(x * R(x \ 1,T(x,y),x \ 1),y) = ((x \ 1) / (x \ T(x,y))) * T(x,y). [hyper(1718,a,774,a)]. 1850 ((x \ 1) / (x \ T(x,y))) * T(x,y) = T(x * T(x \ 1,T(x,y)),y). [para(1144(a,1),1849(a,1,1,2)),flip(a)]. 1851 (x \ 1) / (x \ T(x,y)) = T(x,y) \ 1. [hyper(1377,a,1850,a(flip)),flip(a)]. 1852 T(T(x,y) \ 1,x \ T(x,y)) = (x \ T(x,y)) \ (x \ 1). [para(1851(a,1),115(a,1,1))]. 1853 K(x \ T(x,y),(x \ 1) / (x \ T(x,z))) = 1. [para(1851(a,2),1388(a,1,2))]. 1854 (x \ T(x,y)) \ (x \ 1) = T(x,y) \ 1. [hyper(189,a,1385,a(flip),b,1852,a(flip))]. 1856 R((1 / (x * y)) * x,y,y \ 1) = T((1 / (x * y)) * x,y). [hyper(189,a,728,a(flip),b,821,a(flip))]. 1857 a(1 / (x * y),x,y) \ T((1 / (x * y)) * x,y) = y \ 1. [para(1856(a,1),704(a,1,2))]. 1858 (x * y) * (z * T(z \ L(y \ z,y,x),u)) = (x * (y * T(y \ 1,u))) * z. [para(569(a,1),1161(a,1,1)),flip(a)]. 1859 (x \ 1) * (L(x \ 1,x,y) \ (x * ((y * x) \ y))) = K(x \ 1,x * ((y * x) \ y)). [hyper(189,a,963,a(flip),b,1276,a(flip)),flip(a)]. 1860 (L(x,1 / x,y) * y) / L(x,1 / x,y) = y * ((1 / x) * T(x,y)). [hyper(189,a,350,a(flip),b,1471,a)]. 1861 (L(x,1 / x,y) * y) / L(x,1 / x,y) = y * (T(x,y) / x). [para(793(a,1),1860(a,2,2))]. 1862 (x \ ((L(y,1 / y,x) * x) / L(y,1 / y,x))) / (x \ 1) = x * (T(y,x) / y). [hyper(189,a,1108,a,b,1861,a(flip)),flip(a)]. 1863 x * (((L(y,1 / y,x) * x) / L(y,1 / y,x)) \ z) = (x * (T(y,x) / y)) \ (x * z). [para(1861(a,1),1107(a,1,1)),flip(a)]. 1864 (x \ (x * (T(y,x) / y))) / (x \ 1) = x * (T(y,x) / y). [para(1861(a,1),1862(a,1,1,2))]. 1865 (T(x,y) / x) / (y \ 1) = y * (T(x,y) / x). [para(16(a,1),1864(a,1,1))]. 1867 T(T(x,y) * T(T(x,y) \ x,x),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). [para(1464(a,1),1509(a,1,1))]. 1868 T(L(x,T(x,y) \ x,T(x,y)),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). [para(1015(a,1),1867(a,1,1))]. 1869 T(L(x,T(x,y) \ x,T(x,y)),x * (T(x,y) \ x)) = L(x,T(x,y) \ x,x). [para(1505(a,1),1868(a,1,2))]. 1870 L(T(x,x * (T(x,y) \ x)),T(x,y) \ x,T(x,y)) = L(x,T(x,y) \ x,x). [hyper(189,a,43,a,b,1869,a(flip)),flip(a)]. 1871 L(x,T(x,y) \ x,T(x,y)) = L(x,T(x,y) \ x,x). [para(1502(a,1),1870(a,1,1))]. 1872 T(x,y) * T(T(x,y) \ x,x) = L(x,T(x,y) \ x,x). [hyper(189,a,1015,a,b,1871,a(flip)),flip(a)]. 1873 x * L(y,T(y,x) \ y,y) = (y * x) * T(K(x,y),y). [para(1871(a,1),1409(a,1,2))]. 1874 L(x,T(x,y) \ x,x) = (T(x,y) \ x) * T(x,y). [hyper(189,a,1510,a(flip),b,1872,a(flip))]. 1875 K(x \ 1,x * ((y * x) \ y)) = (x \ 1) * T(x,(y * x) \ y). [para(611(a,1),1859(a,1,2)),flip(a)]. 1876 (x * T(x \ y,x)) * (1 / x) = T(y * (1 / x),x). [para(63(a,1),1184(a,1,1)),flip(a)]. 1877 ((x \ y) * x) * (1 / x) = T(y * (1 / x),x). [para(113(a,1),1876(a,1,1))]. 1879 T((x * y) * (1 / x),x) = (y * x) * (1 / x). [para(16(a,1),1877(a,1,1,1)),flip(a)]. 1880 T(x * (1 / (y \ 1)),y \ 1) = (((y \ 1) \ x) * (y \ 1)) * y. [para(67(a,1),1877(a,1,2)),flip(a)]. 1881 x \ ((x \ 1) \ y) = (y * x) * (1 / x). [hyper(189,a,756,a(flip),b,1879,a(flip)),flip(a)]. 1882 T((x * y) * (1 / x),x) != z * (1 / x) | y * x = z. [para(1879(a,2),23(a,1))]. 1883 x * ((y * x) * (1 / x)) = (x \ 1) \ y. [para(1881(a,1),17(a,1,2))]. 1884 (x * x) * (1 / x) = x. [hyper(20,a,489,a(flip),b,1883,a)]. 1885 (x \ 1) \ (y / x) = x * (y * (1 / x)). [para(19(a,1),1883(a,1,2,1)),flip(a)]. 1886 (x \ 1) \ ((y * x) \ y) = x * ((y * x) \ y). [para(1439(a,1),1883(a,1,2)),flip(a)]. 1887 L(x \ 1,x,x) = 1 / x. [hyper(308,a,1884,a)]. 1888 (x * x) \ x = 1 / x. [hyper(80,a,1884,a)]. 1890 (x * (x * (x \ 1))) \ ((x * x) * ((1 / x) * y)) = L(y,L(x \ 1,x,x),x * x). [para(1887(a,1),347(a,1,2,2,1))]. 1891 L((1 / x) \ y,L(x \ 1,x,x),x * x) = (x * (x * (x \ 1))) \ ((x * x) * y). [para(1887(a,1),368(a,1,1,1))]. 1892 ((x \ 1) \ y) * (x \ 1) = x * (y * (1 / x)). [hyper(942,a,1885,a)]. 1893 (x \ 1) \ (y / x) != x * z | y * (1 / x) = z. [para(1885(a,2),22(a,1))]. 1894 (x \ 1) * (x * ((y * x) \ y)) = ((y * x) \ y) * 1. [para(1886(a,1),198(a,1,2))]. 1895 ((x \ 1) \ 1) * (y * (x \ 1)) = x * (y * (1 / x)). [hyper(189,a,486,a,b,1892,a(flip)),flip(a)]. 1897 (((x \ 1) \ y) * (x \ 1)) * x = T(y * x,x \ 1). [para(67(a,1),1880(a,1,1,2)),flip(a)]. 1898 T((x \ y) * x,x \ 1) = (x \ T(y,x \ 1)) * x. [para(783(a,1),1897(a,1,1)),flip(a)]. 1899 (x \ T(y / (x \ 1),x \ 1)) * x = T(T(y,x) / (x \ 1),x \ 1). [para(806(a,1),1898(a,1,1)),flip(a)]. 1900 T(T(x,y) / (y \ 1),y \ 1) = (y \ ((y \ 1) \ x)) * y. [para(115(a,1),1899(a,1,1,2)),flip(a)]. 1901 (x \ ((x \ 1) \ y)) * x = (x \ 1) \ T(y,x). [hyper(307,a,1900,a),flip(a)]. 1902 (x \ 1) \ T((x \ 1) * y,x) = (x \ y) * x. [para(16(a,1),1901(a,1,1,2)),flip(a)]. 1903 (x \ 1) * ((x \ y) * x) = T((x \ 1) * y,x). [para(1902(a,1),17(a,1,2))]. 1904 T((x \ 1) * (x * y),x) = (x \ 1) * (y * x). [para(16(a,1),1903(a,1,2,1)),flip(a)]. 1905 ((x \ 1) * y) \ T((x \ 1) * y,x) = L(K(x \ y,x),y,x \ 1). [para(1903(a,1),335(a,1,2))]. 1906 ((x \ 1) * (x * y)) * x = x * ((x \ 1) * (y * x)). [para(1904(a,1),113(a,1,2)),flip(a)]. 1907 ((x \ 1) * (x * y)) * x = L(y * x,x \ 1,x). [hyper(189,a,166,a(flip),b,1906,a)]. 1908 L(x * y,y \ 1,y) / y = (y \ 1) * (y * x). [hyper(76,a,166,a(flip),b,1906,a)]. 1909 (x \ 1) * (x * (y / x)) = L(y,x \ 1,x) / x. [para(19(a,1),1908(a,1,1,1)),flip(a)]. 1910 L(R(x,1 / y,y),y \ 1,y) / y = (y \ 1) * (y * (x * (1 / y))). [para(589(a,1),1908(a,1,1,1))]. 1911 (x \ 1) * (x * (y * (1 / x))) = L(y,x \ 1,x) * (1 / x). [hyper(189,a,595,a(flip),b,1910,a(flip))]. 1912 (x \ 1) * (x * (y * (1 / x))) != z * (1 / x) | L(y,x \ 1,x) = z. [para(1911(a,2),23(a,1))]. 1913 L(x,L(y \ 1,y,y),y * y) = y \ ((y * y) * ((1 / y) * x)). [para(62(a,1),1890(a,1,1)),flip(a)]. 1914 L(x,L(y \ 1,y,y),y * y) = y \ (y * ((y / y) * x)). [para(118(a,1),1913(a,2,2))]. 1915 L(x,L(y \ 1,y,y),y * y) = y \ (y * (1 * x)). [para(64(a,1),1914(a,2,2,2,1))]. 1916 L(x,L(y \ 1,y,y),y * y) = x. [hyper(74,a,1915,a,b,16,a(flip)),flip(a)]. 1918 x \ ((y * x) * L((y * x) \ z,u,w)) = T(y,x) * L(T(y,x) \ (x \ z),u,w). [para(35(a,2),1330(a,1,2,1,1)),flip(a)]. 1919 x \ (y * (x * L(x \ (y \ z),u,w))) = T(y,x) * L(T(y,x) \ (x \ z),u,w). [para(811(a,1),1918(a,1,2))]. 1920 T(x,y) * L(T(x,y) \ (y \ z),u,w) = T(x * L(x \ (z / y),u,w),y). [hyper(1336,a,1919,a),flip(a)]. 1921 T(x * L(x \ ((y * z) / y),u,w),y) = T(x,y) * L(T(x,y) \ z,u,w). [para(16(a,1),1920(a,1,2,1,2)),flip(a)]. 1922 T(x,y) * L(T(x,y) \ T(z,y),u,w) = T(x * L(x \ z,u,w),y). [para(143(a,1),1921(a,1,1,2,1,2)),flip(a)]. 1923 T(x,y) * L(T(x,y) \ 1,z,u) = T(x * L(x \ 1,z,u),y). [para(191(a,1),1922(a,1,2,1,2))]. 1924 T(x * L(x \ 1,y,z),u) != T(x,u) * w | L(T(x,u) \ 1,y,z) = w. [para(1923(a,1),22(a,1))]. 1925 T(x * L(x \ 1,T(x,y),z),y) = T(x,y) * ((z * T(x,y)) \ z). [para(140(a,1),1923(a,1,2)),flip(a)]. 1926 T(x \ y,z) * L(T(x \ y,z) \ 1,x \ y,x) = T((x \ y) * (y \ (x * 1)),z). [para(359(a,1),1923(a,2,1,2))]. 1927 T(x * L(x \ 1,T(x,y),1 / x),y) = T(x,y) * ((T(x,y) / x) \ (1 / x)). [para(793(a,1),1925(a,2,2,1))]. 1928 T(x,y) * ((T(x,y) / x) \ (1 / x)) = T(K(T(x,y),1 / x),y). [para(1695(a,1),1927(a,1,1)),flip(a)]. 1929 (x * (y * (1 / (1 / x)))) \ ((y * x) * (1 / (1 / x))) = K(y * L(x,x \ 1,x),x). [para(472(a,1),1363(a,1,2,2))]. 1930 L(L(x,y,y \ 1),K(y \ 1,y),1 / y) = (1 / y) * (y * x). [para(16(a,1),1371(a,2,2))]. 1932 (x \ L(x,y,z)) * ((x \ 1) * u) = (x \ 1) * ((x \ L(x,y,z)) * u). [para(854(a,1),1419(a,1,2,1)),flip(a)]. 1933 (x \ 1) * ((x \ L(x,y,z)) \ 1) = (x \ L(x,y,z)) \ (x \ 1). [hyper(75,a,62,a(flip),b,1932,a),flip(a)]. 1934 (x \ L(x,y,z)) \ (x \ 1) != (x \ 1) * u | (x \ L(x,y,z)) \ 1 = u. [para(1933(a,1),22(a,1))]. 1935 (T((x / (1 / y)) / y,z) * y) * (1 / y) = T(x / K(y,y \ 1),z) * K(y,y \ 1). [para(1535(a,2),1550(a,2,1,1,2))]. 1936 (x \ R(x,y,z)) * ((x \ 1) * u) = (x \ 1) * ((x \ R(x,y,z)) * u). [para(865(a,1),1686(a,1,2,1)),flip(a)]. 1937 (x \ 1) * ((x \ R(x,y,z)) \ 1) = (x \ R(x,y,z)) \ (x \ 1). [hyper(75,a,62,a(flip),b,1936,a),flip(a)]. 1938 (x * (y * T(y \ 1,x))) * (x \ 1) = x \ (x * (y * T(y \ 1,x))). [para(1700(a,1),1701(a,1,2)),flip(a)]. 1939 (x * (y * T(y \ 1,x))) \ (y * T(y \ 1,x)) = x \ 1. [hyper(75,a,16,a(flip),b,1938,a)]. 1941 (x * K(y,x)) \ (L(y \ 1,y,x) * T(L(y \ 1,y,x) \ 1,x)) = x \ 1. [para(906(a,2),1939(a,1,1,2))]. 1942 (x * K(y,x)) \ K(y,x) = x \ 1. [para(906(a,2),1941(a,1,2))]. 1943 (x * K(y,x)) * (x \ 1) = K(y,x). [para(1942(a,1),17(a,1,2))]. 1944 K(x,y) / (y \ 1) = y * K(x,y). [para(1942(a,1),67(a,1,2))]. 1945 K(x,y) * (z * T(z \ L((y \ 1) \ z,y \ 1,y * K(x,y)),u)) = ((y * K(x,y)) * ((y \ 1) * T((y \ 1) \ 1,u))) * z. [para(1943(a,1),1858(a,1,1))]. 1946 K(x,y) * T(K(x,y) \ (K(x,y) / (y \ 1)),z) = (y * K(x,y)) * ((y \ 1) * T((y \ 1) \ 1,z)). [para(1944(a,1),722(a,1,1)),flip(a)]. 1947 T((x \ 1) * T((x \ 1) \ 1,y),K(z,x)) = (x \ 1) * T((x \ 1) \ 1,y). [para(1842(a,1),1843(a,2,2,1,1))]. 1948 T((x \ 1) * T((x \ 1) \ 1,y),K(z,x)) = x \ T(x,y). [hyper(189,a,770,a(flip),b,1947,a)]. 1950 T(x \ T(x,y),K(z,x)) = x \ T(x,y). [para(770(a,1),1948(a,1,1))]. 1951 T(K(x,y),y \ T(y,z)) = K(x,y). [hyper(38,a,1950,a)]. 1952 T((x * y) \ (y * x),K(z,y)) = L(y \ T(y,x),y,x). [para(1950(a,1),585(a,1,1)),flip(a)]. 1953 K(K(x,y),y \ T(y,z)) = 1. [hyper(39,a,1951,a)]. 1954 K(K(x,y),y \ ((T(z,y) \ z) * y)) = 1. [para(1299(a,1),1953(a,1,2,2))]. 1955 K(K(x,y),T(T(z,y) \ z,y)) = 1. [para(35(a,2),1954(a,1,2))]. 1956 T((x * y) \ (y * x),K(z,y)) = K(y,x). [hyper(189,a,584,a,b,1952,a)]. 1957 T(K(x,y),K(z,x)) = K(x,y). [para(29(a,2),1956(a,1,1))]. 1958 T(K(x,y),K(y,z)) = K(x,y). [hyper(38,a,1957,a)]. 1959 K(x,y) * K(z,x) = K(z,x) * K(x,y). [para(1957(a,1),113(a,1,2)),flip(a)]. 1960 K(x,y) * K(y,z) != u | K(y,z) * K(x,y) = u. [para(1957(a,1),205(a,1,2))]. 1961 K(x,y) * L(K(y,z),u,w) != v5 | L(K(y,z),u,w) * K(x,y) = v5. [para(1957(a,1),303(a,1,2,1))]. 1962 K(x,y) * K(z,x) != u | K(z,x) * K(x,y) = u. [para(1958(a,1),205(a,1,2))]. 1963 L(K(x,y),z,u) * K(y,w) = K(y,w) * L(K(x,y),z,u). [para(1958(a,1),159(a,1,2,1)),flip(a)]. 1965 (x * (T(y,x) / y)) \ (x * z) = x * ((x * (T(y,x) / y)) \ z). [para(1861(a,1),1863(a,1,2,1)),flip(a)]. 1966 (T((x / (1 / y)) / y,z) * y) * (1 / y) != u | K(y,y \ 1) * T(K(y,y \ 1) \ x,z) = u. [para(1935(a,2),544(a,1))]. 1967 x \ ((x / T(y \ 1,y * y)) * ((((y \ 1) \ y) \ y) * z)) = L(z,((y \ 1) \ y) \ y,x / T(y \ 1,(y \ 1) \ y)). [para(489(a,1),536(a,1,2,1,2,2))]. 1968 (x * K(x,y)) * T((x * K(x,y)) \ (x * y),z) = (T(y,z) * x) * K(x,y). [hyper(189,a,380,a(flip),b,567,a)]. 1969 x * (K(x,y) * T(K(x,y) \ y,z)) = (T(y,z) * x) * K(x,y). [hyper(838,a,1968,a)]. 1970 (T(x,K(y,x)) * y) * K(y,x) = y * ((K(y,x) \ x) * K(y,x)). [para(113(a,1),1969(a,1,2)),flip(a)]. 1971 (x * y) * K(z \ (z / L(u,y,x)),z) = x * ((y * u) * T((y * u) \ y,z)). [hyper(838,a,1080,a),flip(a)]. 1972 (x * y) * K(z \ (z / L(u,y,x)),z) = x * (y * (u * T(u \ 1,z))). [para(569(a,1),1971(a,2,2))]. 1973 L(x * T(x \ 1,y),z,u) = K(y \ (y / L(x,z,u)),y). [hyper(346,a,1972,a)]. 1974 L(x * T(x \ 1,L(x,y,z)),y,z) = K(L(x,y,z) \ 1,L(x,y,z)). [para(64(a,1),1973(a,2,1,2))]. 1975 L(x \ T(x,y),z,u) = K(y \ (y / L(x \ 1,z,u)),y). [para(770(a,1),1973(a,1,1))]. 1976 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(18(a,1),1975(a,2,1,2))]. 1977 (L(x,y,z) * (1 / x)) / L(x,y,z) = L(1 / x,L(x,y,z),1 / x). [hyper(189,a,1347,a(flip),b,1263,a(flip)),flip(a)]. 1979 x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = L(1 / x,L(x,y,z),1 / x) * x. [para(1977(a,1),680(a,1,1)),flip(a)]. 1980 x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = x * L(x \ 1,L(x,y,z),1 / x). [hyper(189,a,502,a(flip),b,1979,a)]. 1981 x * L(x \ 1,L(x,y,z),1 / x) = K(L(x,y,z),1 / x). [hyper(189,a,1325,a(flip),b,1980,a(flip))]. 1982 K(x \ 1,x * ((y * x) \ y)) = 1. [hyper(1277,a,1894,a(flip))]. 1983 T(x,(y * x) \ y) = (x \ 1) \ 1. [hyper(75,a,1982,a(flip),b,1875,a(flip)),flip(a)]. 1984 T(x,(y * x) \ y) = T(x,x \ 1). [hyper(189,a,114,a,b,1983,a)]. 1985 K(x,(y * x) \ y) = ((x \ 1) \ 1) / x. [hyper(76,a,1983,a(flip),b,1719,a),flip(a)]. 1986 T(x \ y,y \ x) = ((x \ y) \ 1) \ 1. [para(17(a,1),1983(a,1,2,1))]. 1987 T(x,L(x \ 1,x,y)) = (x \ 1) \ 1. [para(140(a,2),1983(a,1,2))]. 1988 T(K(x,y),(x * y) \ (y * x)) = T(K(x,y),K(x,y) \ 1). [para(95(a,1),1984(a,1,2,1))]. 1989 T(x,L(x \ 1,x,y)) = T(x,x \ 1). [para(140(a,2),1984(a,1,2))]. 1990 K(x,(y * x) \ y) = K(x,x \ 1). [hyper(189,a,1533,a(flip),b,1985,a)]. 1992 K(x \ y,(x \ y) \ 1) = K(x \ y,y \ x). [para(17(a,1),1990(a,1,2,1)),flip(a)]. 1993 K(T(x,y),T(x,y) \ 1) = K(T(x,y),(x * y) \ y). [para(113(a,1),1990(a,1,2,1)),flip(a)]. 1994 K(x \ y,T(y,x) \ ((y * x) / y)) = K(x \ y,(x \ y) \ 1). [para(1027(a,2),1990(a,1,2,1))]. 1995 1 / T(x \ y,y \ x) = (x \ y) \ 1. [para(1986(a,2),67(a,1,2))]. 1996 T(x \ (x / y),y) = ((x \ (x / y)) \ 1) \ 1. [para(69(a,1),1986(a,1,2))]. 1997 (x \ y) * (((y \ x) \ 1) \ 1) != z | (y \ x) * (x \ y) = z. [para(1986(a,1),205(a,1,2))]. 1998 x * K((x \ y) \ 1,x \ y) = y * (((y \ x) \ 1) \ 1). [para(1986(a,1),1073(a,1,2)),flip(a)]. 1999 1 / T((x * y) \ x,y) = ((x * y) \ x) \ 1. [para(16(a,1),1995(a,1,2,2))]. 2000 (x \ y) * (1 / (x \ y)) = K(x \ y,y \ x). [hyper(1539,a,1992,a)]. 2001 T(K(x,y),K(x,y) \ 1) = T(K(x,y),K(y,x)). [para(29(a,2),1988(a,1,2)),flip(a)]. 2002 T(K(x,y),K(y,x)) != z | (K(x,y) \ 1) \ 1 = z. [para(2001(a,1),315(a,1))]. 2003 (K(x,y) \ 1) \ 1 = K(x,y). [hyper(2002,a,1958,a)]. 2004 1 / K(x,y) = K(x,y) \ 1. [para(2003(a,1),67(a,1,2))]. 2005 1 / (1 / K(x,y)) = K(x,y). [para(2003(a,1),130(a,1,2,2))]. 2006 K(x,y) \ 1 != z | 1 / K(x,y) = z. [para(2005(a,1),236(a,1,1)),flip(b)]. 2007 K(x \ y,T(x / y,T(y,x))) = K(x \ y,(x \ y) \ 1). [para(1465(a,1),1994(a,1,2))]. 2008 K(x \ y,T(x / y,T(y,x))) = K(x \ y,y \ x). [hyper(189,a,1992,a(flip),b,2007,a)]. 2009 K(x \ (x / R(y,z,u)),x) = (((y * z) * T((y * z) \ z,x)) * u) / (z * u). [para(1100(a,1),1585(a,2,1))]. 2010 K(x \ (x / R(y,z,u)),x) = (((y * T(y \ 1,x)) * z) * u) / (z * u). [para(1119(a,1),2009(a,2,1,1))]. 2011 R(x * T(x \ 1,y),z,u) = K(y \ (y / R(x,z,u)),y). [hyper(189,a,33,a,b,2010,a),flip(a)]. 2012 K(x \ (x / R(y,z,u)),x) != w | R(y * T(y \ 1,x),z,u) = w. [para(2010(a,2),385(a,1))]. 2013 R(x,y,z) * T(R(x,y,z) \ 1,u) = R(x * T(x \ 1,u),y,z). [hyper(189,a,886,a(flip),b,2011,a),flip(a)]. 2014 R(x * T(x \ 1,R(x,y,z)),y,z) = K(R(x,y,z) \ 1,R(x,y,z)). [para(64(a,1),2011(a,2,1,2))]. 2015 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(870(a,1),2011(a,2,1,2))]. 2016 K(R(x,y,z) \ 1,R(x,y,z)) * (y * z) = ((x * T(x \ 1,R(x,y,z))) * y) * z. [para(2014(a,1),110(a,1,1))]. 2017 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(1230(a,1),882(a,1,1))]. 2018 K(T(x,R(x \ 1,y,z)),R(x \ 1,y,z)) = x \ T(x,R(x \ 1,y,z)). [para(35(a,2),898(a,1,1))]. 2019 K(x \ 1,x) * R(K(x \ 1,x) \ y,z,u) = (x \ 1) * (x * R(x \ ((x \ 1) \ y),z,u)). [para(165(a,2),1245(a,1,2,1,1))]. 2020 K(x \ y,x) * R((y \ ((x \ y) * x)) \ x,z,u) = y \ ((R(x,z,u) * (x \ y)) * x). [para(96(a,1),1726(a,1,1))]. 2021 K(x \ y,x) * R(K(x \ y,x) \ x,z,u) = y \ ((R(x,z,u) * (x \ y)) * x). [para(96(a,1),2020(a,1,2,1,1))]. 2022 K(x \ 1,x) * R(K(x \ 1,x) \ (y * x),z,u) = ((x \ 1) * R((x \ 1) \ y,z,u)) * x. [hyper(189,a,1636,a(flip),b,2019,a)]. 2023 K(x \ 1,x) * R(K(x \ 1,x) \ (y * x),z,u) = (x \ R(x * y,z,u)) * x. [para(823(a,1),2022(a,2,1))]. 2024 (x * K(x,y)) * R((x * K(x,y)) \ (x * y),z,u) = (R(y,z,u) * x) * K(x,y). [hyper(189,a,382,a(flip),b,666,a)]. 2025 x * (K(x,y) * R(K(x,y) \ y,z,u)) = (R(y,z,u) * x) * K(x,y). [hyper(948,a,2024,a)]. 2026 x * (K(x,y) * R(K(x,y) \ y,y \ 1,y)) = (T(y,y \ 1) * x) * K(x,y). [para(1135(a,1),2025(a,2,1,1))]. 2027 T(1 / (1 / R(1 / x,x,y)),x * y) = T(1 / (1 / (y / (x * y))),x * y). [hyper(189,a,803,a(flip),b,958,a(flip))]. 2028 K(x,x \ 1) * T(K(x,x \ 1) \ y,z) = x * ((1 / x) * T((1 / x) \ (x \ y),z)). [hyper(1966,a,1163,a)]. 2029 K(x,x \ 1) * T(K(x,x \ 1) \ y,z) = x * (T((x \ y) * x,z) / x). [para(778(a,1),2028(a,2,2))]. 2030 K(x,x \ 1) * T(K(x,x \ 1) \ y,x) = T(y,x). [hyper(189,a,1174,a(flip),b,2029,a)]. 2031 T(x * K(y,y \ 1),y) = T(x,y) * K(y,y \ 1). [hyper(571,a,2030,a),flip(a)]. 2032 T((1 / K(x,x \ 1)) * y,x) = (1 / K(x,x \ 1)) * T(y,x). [hyper(807,a,2031,a),flip(a)]. 2033 T((x / y) * K(y,y \ 1),y) = (y \ x) * K(y,y \ 1). [para(115(a,1),2031(a,2,1))]. 2034 x \ (y * K(x,x \ 1)) = (x \ y) * K(x,x \ 1). [hyper(189,a,1567,a(flip),b,2033,a(flip)),flip(a)]. 2035 x * ((x \ y) * K(x,x \ 1)) = y * K(x,x \ 1). [para(2034(a,1),17(a,1,2))]. 2036 (x * y) * K(x,x \ 1) = x * (y * K(x,x \ 1)). [para(16(a,1),2035(a,1,2,1)),flip(a)]. 2037 R(x,y,K(x,x \ 1)) = x. [hyper(376,a,2036,a)]. 2038 L(K(x,x \ 1),y,x) = K(x,x \ 1). [hyper(346,a,2036,a)]. 2039 R(T(x,y),z,K(x,x \ 1)) = T(x,y). [para(2037(a,1),45(a,2,1))]. 2040 (x * y) / K(x,x \ 1) = x * (y / K(x,x \ 1)). [para(2038(a,1),398(a,1,2))]. 2041 T(x,y * K(x,x \ 1)) = T(x,y). [hyper(189,a,1566,a(flip),b,2039,a(flip))]. 2043 T(x \ 1,y * K(x \ 1,x)) = T(x \ 1,y). [para(1538(a,1),2041(a,1,2,2))]. 2044 T(x,R(x \ 1,x,y)) = T(x,y / (x * y)). [para(1746(a,2),2041(a,1,2)),flip(a)]. 2045 (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(2044(a,1),152(a,1,2,1))]. 2046 K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)) = x \ T(x,y / (x * y)). [para(2044(a,1),2018(a,2,2))]. 2047 T(x \ 1,T(x,x \ 1)) = T(x \ 1,x). [para(1143(a,1),2043(a,1,2)),flip(a)]. 2048 T(x \ T(x,y),T(x,x \ 1)) = K(y \ (y / T(x \ 1,x)),y). [para(2047(a,1),1378(a,2,1,2,2))]. 2049 (1 / K(x,x \ 1)) * T(y,x) = T(K(x \ 1,x) * y,x). [para(339(a,1),2032(a,1,1,1)),flip(a)]. 2050 T(K(x \ 1,x) * y,x) = K(x \ 1,x) * T(y,x). [para(339(a,1),2049(a,1,1)),flip(a)]. 2051 x * T(K(x \ 1,x) * y,x) = K(x \ 1,x) * (y * x). [para(2050(a,2),1192(a,1,2))]. 2052 (K(x \ 1,x) * y) * x = K(x \ 1,x) * (y * x). [hyper(205,a,2051,a)]. 2053 L(x,y,K(x \ 1,x)) = x. [hyper(346,a,2052,a)]. 2054 L(T(x,y),z,K(x \ 1,x)) = T(x,y). [para(2053(a,1),43(a,2,1))]. 2055 T(x,K(x \ 1,x) * y) = T(x,y). [hyper(1699,a,2054,a)]. 2056 T(x,L(x \ y,x,x \ 1)) = T(x,(x \ 1) * y). [para(813(a,1),2055(a,1,2)),flip(a)]. 2057 T(x \ T(x,y),T(x,x \ 1)) = T(x \ T(x,y),x). [hyper(189,a,1378,a,b,2048,a)]. 2058 T((x * y) \ (y * x),T(y,y \ 1)) = L(T(y \ T(y,x),y),y,x). [para(2057(a,1),585(a,1,1)),flip(a)]. 2059 T((x * y) \ (y * x),T(y,y \ 1)) = T((x * y) \ (y * x),y). [hyper(189,a,585,a(flip),b,2058,a)]. 2060 T((x * y) \ (y * x),T(y,y \ 1)) = T(K(y,x),y). [para(29(a,2),2059(a,2,1))]. 2061 T(K(x,y),T(x,x \ 1)) = T(K(x,y),x). [para(29(a,2),2060(a,1,1))]. 2062 K(x \ T(x,y),(x \ 1) / (x \ T(x,y))) = (x \ T(x,y)) * ((x \ 1) \ (T(x,y) \ 1)). [para(1851(a,1),1708(a,1,2,2)),flip(a)]. 2063 (x \ T(x,y)) * ((x \ 1) \ (T(x,y) \ 1)) = 1. [hyper(189,a,1853,a(flip),b,2062,a(flip))]. 2064 (x \ 1) \ (T(x,y) \ 1) = (x \ T(x,y)) \ 1. [hyper(75,a,1853,a(flip),b,2062,a(flip)),flip(a)]. 2066 (x \ T(x,y)) \ 1 != z | (x \ 1) \ (T(x,y) \ 1) = z. [para(2063(a,1),237(a,1,2)),flip(b)]. 2067 K(x,y) * T(K(x,y) \ (K(x,y) / (y \ 1)),z) = (y * K(x,y)) * (y \ T(y,z)). [para(770(a,1),1946(a,2,2))]. 2068 K(x,y) * T(K(x,y) \ (y * K(x,y)),z) = (y * K(x,y)) * (y \ T(y,z)). [para(1944(a,1),2067(a,1,2,1,2))]. 2069 K(x,y) * T(T(y,K(x,y)),z) = (y * K(x,y)) * (y \ T(y,z)). [para(35(a,2),2068(a,1,2,1))]. 2070 K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)) = L(x \ x,y,z). [para(1339(a,1),1976(a,1,1,2)),flip(a)]. 2071 K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)) = L(1,y,z). [para(59(a,1),2070(a,2,1))]. 2072 K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)) = 1. [hyper(189,a,265,a(flip),b,2071,a)]. 2075 ((x * L(x \ 1,y,z)) \ x) * (x * L(x \ 1,y,z)) = x * 1. [para(2072(a,1),213(a,1,2)),flip(a)]. 2076 ((x * L(x \ 1,y,z)) \ x) * (x * L(x \ 1,y,z)) = x. [hyper(189,a,15,a(flip),b,2075,a)]. 2077 x * (y * L(y \ 1,z,u)) != y | (y * L(y \ 1,z,u)) \ y = x. [para(2076(a,1),23(a,1)),flip(a)]. 2078 (((x * y) \ x) \ K(y,x)) / (L(y \ 1,y,x) \ 1) = K(y,x). [hyper(189,a,906,a,b,907,a)]. 2079 (((x * y) \ x) \ K(y,x)) / (((x * y) \ x) \ 1) = K(y,x). [para(140(a,1),2078(a,1,2,1))]. 2080 T(K(x,y),((y * x) \ y) \ 1) != z | (((y * x) \ y) \ 1) \ (((y * x) \ y) \ K(x,y)) = z. [para(2079(a,1),307(a,1,1))]. 2081 R(L(x / (y \ 1),z,u),y \ 1,(y \ 1) \ 1) = (y \ L(y * x,z,u)) * T(y,y \ 1). [para(817(a,1),919(a,1,1)),flip(a)]. 2082 (x \ L(x * y,z,u)) * T(x,x \ 1) = L(y * ((x \ 1) \ 1),z,u). [hyper(189,a,463,a(flip),b,2081,a(flip))]. 2083 (T(x,y) * (L(x,z,u) * y)) \ ((L(x,z,u) * y) * T(T(x,y),y)) = a(T(x,y),y,L(T(x,y),z,u)). [para(159(a,1),1703(a,1,2,1))]. 2084 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(1018(a,1),1805(a,2,2,1))]. 2085 T(x,y) * ((T(x,y) \ T(x,z)) / T(x,z)) = T(K(T(x,z),1 / x),y). [para(1326(a,1),2084(a,1,1)),flip(a)]. 2086 K(T(x,y),1 / T(x,z)) = T(K(T(x,y),1 / x),z). [hyper(189,a,1417,a(flip),b,2085,a(flip)),flip(a)]. 2087 T(K(T(x,y),1 / x),y) != z | K(T(x,y),T(x,y) \ 1) = z. [para(2086(a,1),1559(a,1))]. 2088 T(x,y) * ((T(x,y) / x) \ (1 / x)) = K(T(x,y),T(x,y) \ 1). [hyper(2087,a,1928,a(flip)),flip(a)]. 2089 (T(x,y) / x) \ (1 / x) = 1 / T(x,y). [hyper(20,a,1535,a(flip),b,2088,a)]. 2090 (T(T(x,x \ 1),y) / T(x,x \ 1)) \ (x \ 1) = 1 / T(T(x,x \ 1),y). [para(174(a,1),2089(a,1,2))]. 2091 (x \ T(x,y)) \ (x \ 1) = 1 / T(T(x,x \ 1),y). [para(1528(a,1),2090(a,1,1))]. 2092 1 / T(T(x,x \ 1),y) = T(x,y) \ 1. [hyper(189,a,1854,a(flip),b,2091,a(flip))]. 2093 T(T(x,x \ 1),y) = (T(x,y) \ 1) \ 1. [para(2092(a,1),69(a,1,1)),flip(a)]. 2094 T(1 / (1 / x),y) \ 1 = 1 / T(x,y). [para(228(a,1),2092(a,1,2,1)),flip(a)]. 2095 (T(x,y) \ 1) \ 1 = T((x \ 1) \ 1,y). [hyper(189,a,525,a(flip),b,2093,a(flip))]. 2096 (T(1 / x,y) \ 1) \ 1 = T(x \ 1,y). [para(497(a,1),2093(a,1,1)),flip(a)]. 2097 1 / (1 / T(x,y)) = T(1 / (1 / x),y). [para(2094(a,1),67(a,1,2))]. 2098 T(((x / y) \ 1) \ 1,y) = ((y \ x) \ 1) \ 1. [para(115(a,1),2095(a,1,1,1)),flip(a)]. 2099 T(x,y) * K(T(x,y) \ 1,T(x,y)) = T(1 / (1 / x),y). [hyper(189,a,474,a,b,2097,a(flip)),flip(a)]. 2100 T(1 / (1 / (x / y)),y) = 1 / (1 / (y \ x)). [para(115(a,1),2097(a,1,2,2)),flip(a)]. 2101 ((x * T(1 / (1 / y),x)) / x) \ (y / T(y,x)) = 1 / T(y,x). [para(2097(a,1),1292(a,1,1,1,2))]. 2102 T(x,((y * x) / y) \ 1) = ((y \ (y * x)) \ 1) \ 1. [hyper(608,a,2098,a)]. 2103 (((x / y) \ 1) \ 1) * y = y * (((y \ x) \ 1) \ 1). [para(2098(a,1),113(a,1,2)),flip(a)]. 2104 (x * (((x \ y) \ 1) \ 1)) / x = ((y / x) \ 1) \ 1. [para(2098(a,1),143(a,1,1,2))]. 2105 (1 / (1 / (x / y))) * y = y * (1 / (1 / (y \ x))). [para(2100(a,1),113(a,1,2)),flip(a)]. 2106 (x * (1 / (1 / (x \ y)))) / x = 1 / (1 / (y / x)). [para(2100(a,1),143(a,1,1,2))]. 2107 T(x,((y * x) / y) \ 1) = (x \ 1) \ 1. [para(16(a,1),2102(a,2,1,1))]. 2108 T(x,y / (y * x)) = (x \ 1) \ 1. [hyper(189,a,1775,a(flip),b,2107,a(flip)),flip(a)]. 2110 T(x,y / (y * x)) = T(x,x \ 1). [hyper(189,a,114,a,b,2108,a)]. 2111 T(x \ y,x / y) = ((x \ y) \ 1) \ 1. [para(17(a,1),2108(a,1,2,2))]. 2112 (x / (x * y)) * T(y,y \ 1) = y * (x / (x * y)). [para(2110(a,1),113(a,1,2))]. 2113 T(x \ (y \ x),y) = ((x \ (y \ x)) \ 1) \ 1. [para(67(a,1),2111(a,1,2))]. 2114 1 / T(x \ (y \ x),y) = (x \ (y \ x)) \ 1. [para(2113(a,2),67(a,1,2))]. 2115 ((R(x / y,y,z) \ 1) \ 1) * (y * z) = (y * z) * ((((y * z) \ (x * z)) \ 1) \ 1). [para(111(a,2),2103(a,1,1,1,1))]. 2116 (x * ((y \ 1) \ 1)) / x = (((x * y) / x) \ 1) \ 1. [para(16(a,1),2104(a,1,1,2,1,1))]. 2118 T(1 / (1 / (x / y)),y) != z | 1 / (1 / (y \ x)) = z. [para(2106(a,1),242(a,1,1)),flip(b)]. 2119 (1 / (1 / x)) \ (x / T(x,y)) = 1 / T(x,y). [para(143(a,1),2101(a,1,1))]. 2121 L(1 / x,K(x \ 1,x),y) * (y * K(x \ 1,x)) = y * ((x \ 1) * (x * T(x \ 1,y))). [para(2043(a,1),1451(a,1,2,2,2)),flip(a)]. 2122 x * T(((x * T(y,z)) / T(y,z)) \ (x * y),u) = ((x * T(y,z)) * T(y,u)) / T(y,z). [para(18(a,1),1581(a,1,1))]. 2123 ((x * T(y,z)) * T(y,u)) / T(y,z) = x * T(x \ (x * y),u). [para(18(a,1),2122(a,1,2,1,1)),flip(a)]. 2124 ((x * T(y,z)) * T(y,u)) / T(y,z) = x * T(y,u). [para(16(a,1),2123(a,2,2,1))]. 2125 (x * T(y,z)) / T(y,u) = (x / T(y,u)) * T(y,z). [para(19(a,1),2124(a,1,1,1))]. 2126 (x * R(x \ 1,x,y)) \ (x * (y / (x * y))) = K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)). [para(1677(a,1),2045(a,1,2))]. 2127 K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)) = K(x,y / (x * y)). [hyper(607,a,2126,a),flip(a)]. 2128 x \ T(x,y / (x * y)) = K(x,y / (x * y)). [hyper(189,a,2046,a(flip),b,2127,a(flip)),flip(a)]. 2129 K(x,y / (x * y)) = K(x,x \ 1). [hyper(1771,a,2128,a),flip(a)]. 2130 K(x,y / (x * y)) != z | K(x,x \ 1) = z. [para(2128(a,1),1771(a,1))]. 2131 K(x / y,(x / y) \ 1) = K(x / y,y / x). [para(19(a,1),2129(a,1,2,2)),flip(a)]. 2132 K(x / y,y / x) != z | K(x / y,(x / y) \ 1) = z. [para(19(a,1),2130(a,1,2,2))]. 2133 (K(x / y,y / x) * y) / x = ((x / y) * (y / x)) / (x / y). [para(2131(a,1),1706(a,1,1,1))]. 2134 K(x / (y * x),y) != z | K(x / (y * x),(x / (y * x)) \ 1) = z. [para(18(a,1),2132(a,1,2))]. 2135 (K(x / y,y / x) * y) / x = 1 / (1 / (y / x)). [hyper(189,a,1767,a(flip),b,2133,a)]. 2136 (K((x * y) / y,y / (x * y)) * y) / (x * y) = 1 / (1 / R(1 / x,x,y)). [para(141(a,2),2135(a,2,2,2))]. 2137 (x * (R(y / z,z,y \ u) / x)) * (z * (y \ u)) = (x * ((u / (z * (y \ u))) / x)) * (z * (y \ u)). [hyper(189,a,1789,a(flip),b,1792,a)]. 2138 ((x \ T(x,y)) * x) * L(z,(x \ 1) * x,T(T(x,x \ 1),y)) = R(T(x,y),x \ 1,x) * (((x \ 1) * x) * z). [para(773(a,1),1358(a,1,1,1))]. 2139 ((x \ T(x,y)) * x) * L(z,K(x \ 1,x),T(T(x,x \ 1),y)) = R(T(x,y),x \ 1,x) * (((x \ 1) * x) * z). [para(165(a,2),2138(a,1,2,2))]. 2140 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(632(a,1),2015(a,1,1,2,1))]. 2141 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(1660(a,1),2140(a,1,1,2)),flip(a)]. 2143 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((x * ((z * u) / ((y * z) * u))) / x) * ((y * z) * u). [para(110(a,1),1281(a,1,1,1,2,2)),flip(a)]. 2144 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((y * z) * u) * ((x * (((y * z) * u) \ (z * u))) / x). [hyper(189,a,680,a(flip),b,2143,a)]. 2145 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((y * z) * ((x * ((y * z) \ z)) / x)) * u. [hyper(189,a,1785,a(flip),b,2144,a)]. 2146 (R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u)) * (y * z) = ((x * y) * ((u * ((x * y) \ y)) / u)) * z. [para(680(a,1),2145(a,1,1))]. 2147 (R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u)) * (y * z) = ((x * ((u * (x \ 1)) / u)) * y) * z. [para(1796(a,1),2146(a,2,1))]. 2148 R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u) = R(x * ((u * (x \ 1)) / u),y,z). [hyper(21,a,110,a,b,2147,a)]. 2149 R(x * ((y * (x \ 1)) / y),z,u) = K(y,(y / R(x,z,u)) / y). [hyper(1320,a,2148,a),flip(a)]. 2150 R(x * ((R(x,y,z) * (x \ 1)) / R(x,y,z)),y,z) = R(x,y,z) * (1 / R(x,y,z)). [para(17(a,1),2148(a,1,2,1)),flip(a)]. 2151 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(189,a,1535,a,b,2150,a)]. 2152 R(x * ((x \ R(x,y,z)) / R(x,y,z)),y,z) = K(R(x,y,z),R(x,y,z) \ 1). [para(867(a,1),2151(a,1,1,2,1))]. 2153 (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(31(a,2),1314(a,2,2,1,1))]. 2154 (x * y) \ (x * ((y * z) * L((y * z) \ (x \ (x * y)),u,w))) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). [para(811(a,1),2153(a,1,2))]. 2155 (x * y) \ (x * ((y * z) * L((y * z) \ y,u,w))) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). [para(16(a,1),2154(a,1,2,2,2,1,2))]. 2156 (x * y) \ (x * (y * (z * L(z \ 1,u,w)))) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). [para(709(a,1),2155(a,1,2,2))]. 2157 L(x,y,z) * L(L(x,y,z) \ 1,u,w) = L(x * L(x \ 1,u,w),y,z). [hyper(355,a,2156,a),flip(a)]. 2158 L(x,y,z) * L(L(x,y,z) \ 1,(x \ 1) \ 1,x \ 1) = L(x * (1 / (1 / (x \ 1))),y,z). [para(472(a,1),2157(a,2,1,2))]. 2159 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(1262(a,1),2157(a,1,2))]. 2160 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(15(a,1),2159(a,1,2,2)),flip(a)]. 2161 L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)) = L(K(L(x,y,z),1 / x),y,z). [para(1981(a,1),2160(a,1,1)),flip(a)]. 2162 (x * y) \ ((x * (y * z)) * R((x * (y * z)) \ (x * y),u,w)) = L(z,y,x) * R(L(z,y,x) \ 1,u,w). [para(31(a,2),1316(a,2,2,1,1))]. 2163 (x * y) \ (x * ((y * z) * R((y * z) \ y,u,w))) = L(z,y,x) * R(L(z,y,x) \ 1,u,w). [para(809(a,1),2162(a,1,2))]. 2164 (x * y) \ (x * (y * (z * R(z \ 1,u,w)))) = L(z,y,x) * R(L(z,y,x) \ 1,u,w). [para(705(a,1),2163(a,1,2,2))]. 2165 L(x,y,z) * R(L(x,y,z) \ 1,u,w) != v5 | L(x * R(x \ 1,u,w),y,z) = v5. [para(2164(a,1),355(a,1))]. 2166 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(2165,a,968,a)]. 2167 ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z) = L(x * T(x \ 1,L(x,y,z)),y,z). [para(1348(a,1),2166(a,1,1,2)),flip(a)]. 2168 ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z) = K(L(x,y,z) \ 1,L(x,y,z)). [hyper(189,a,1974,a(flip),b,2167,a)]. 2169 (x \ 1) / (x \ L(x,y,z)) = L(x,y,z) \ 1. [hyper(21,a,165,a(flip),b,2168,a)]. 2170 (L(x,y,z) \ 1) \ (x \ 1) = x \ L(x,y,z). [para(2169(a,1),69(a,1,1))]. 2171 x / ((1 / x) \ L(1 / x,y,z)) = L(1 / x,y,z) \ 1. [para(69(a,1),2169(a,1,1))]. 2173 R(x,y,z) \ L(R(x,y,z),x \ 1,x) = (R(1 / (1 / x),y,z) \ 1) \ (R(x,y,z) \ 1). [para(475(a,1),2170(a,1,1,1)),flip(a)]. 2174 x / (x * L(x \ 1,y,z)) = L(1 / x,y,z) \ 1. [para(819(a,1),2171(a,1,2))]. 2175 (L(1 / x,y,z) \ 1) * (x * L(x \ 1,y,z)) = x. [para(2174(a,1),19(a,1,1))]. 2176 (x * L(x \ 1,y,z)) \ x = L(1 / x,y,z) \ 1. [hyper(2077,a,2175,a)]. 2177 L(1 / (1 / x),y,z) \ 1 = (L(x,y,z) / x) \ (1 / x). [para(1286(a,1),2176(a,1,1)),flip(a)]. 2178 (R(1 / (1 / x),y,z) \ 1) \ (R(x,y,z) \ 1) = R(x,y,z) \ R(1 / (1 / x),y,z). [para(475(a,1),2173(a,1,2)),flip(a)]. 2179 (x * (y * z)) * ((u * ((x * (y * z)) \ (x * y))) / u) = (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)). [para(102(a,1),1401(a,1,2,1,2,1))]. 2180 (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)) = x * ((y * z) * ((u * ((y * z) \ y)) / u)). [hyper(189,a,1397,a(flip),b,2179,a(flip))]. 2181 (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)) = x * (y * (z * ((u * (z \ 1)) / u))). [para(1398(a,1),2180(a,2,2))]. 2182 L(x,y,z) * ((u * (L(x,y,z) \ 1)) / u) = L(x * ((u * (x \ 1)) / u),y,z). [hyper(346,a,2181,a),flip(a)]. 2183 L(x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)),y,z) = L(x,y,z) * (1 / L(x,y,z)). [para(17(a,1),2182(a,1,2,1)),flip(a)]. 2184 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(189,a,1535,a,b,2183,a)]. 2185 L(K(L(x,y,z),1 / x),y,z) = K(L(x,y,z),L(x,y,z) \ 1). [para(1325(a,1),2184(a,1,1))]. 2186 L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)) = K(L(x,y,z),L(x,y,z) \ 1). [hyper(189,a,2161,a,b,2185,a(flip)),flip(a)]. 2187 (L(x,y,z) / x) \ (1 / x) = 1 / L(x,y,z). [hyper(20,a,1535,a(flip),b,2186,a)]. 2188 L(1 / (1 / x),y,z) \ 1 = 1 / L(x,y,z). [hyper(189,a,2177,a,b,2187,a(flip)),flip(a)]. 2189 L(1 / (1 / x),y,z) = 1 / (1 / L(x,y,z)). [para(2188(a,1),67(a,1,2)),flip(a)]. 2190 1 / L(x \ 1,y,z) = L(1 / x,y,z) \ 1. [para(67(a,1),2188(a,1,1,1,2)),flip(a)]. 2191 1 / L(K(x,y),z,u) = L(K(x,y),z,u) \ 1. [para(2005(a,1),2188(a,1,1,1)),flip(a)]. 2192 1 / (1 / L(x \ 1,y,z)) = L(1 / x,y,z). [para(67(a,1),2189(a,1,1,2)),flip(a)]. 2193 (L(1 / x,y,z) \ 1) \ 1 = L(x \ 1,y,z). [para(2190(a,1),69(a,1,1))]. 2194 (L(K(x,y),z,u) \ 1) \ 1 = L(K(x,y),z,u). [para(2191(a,1),69(a,1,1))]. 2195 L(1 / x,x,y) = 1 / (1 / ((y * x) \ y)). [para(140(a,1),2192(a,1,2,2)),flip(a)]. 2196 L(1 / (x \ y),x \ y,x) = 1 / (1 / (y \ x)). [para(276(a,1),2192(a,1,2,2)),flip(a)]. 2197 L(1 / x,x,y / x) = 1 / (1 / (y \ (y / x))). [para(279(a,1),2192(a,1,2,2)),flip(a)]. 2198 K(L(x \ 1,x,y) \ 1,L(x \ 1,x,y)) = ((y * x) \ y) \ L(1 / x,x,y). [para(2192(a,1),574(a,2,2))]. 2199 L(x,x \ 1,y) = 1 / (1 / ((y * (x \ 1)) \ y)). [para(67(a,1),2195(a,1,1))]. 2200 L((x \ 1) \ 1,y,z) = (L(x,y,z) \ 1) \ 1. [para(67(a,1),2193(a,1,1,1,1)),flip(a)]. 2202 L((((x \ y) \ z) \ 1) \ 1,x \ y,x) = ((y \ (x * z)) \ 1) \ 1. [para(359(a,1),2200(a,2,1,1))]. 2203 L(T(x \ 1,x),y,z) = (L(x \ 1,y,z) \ 1) \ 1. [para(627(a,2),2200(a,1,1))]. 2204 x * ((x \ y) * (1 / (x \ y))) = y * (1 / (1 / (y \ x))). [para(2196(a,1),344(a,1,2)),flip(a)]. 2205 x \ ((x / y) * K(y,y \ 1)) = 1 / (1 / (x \ (x / y))). [hyper(189,a,1555,a,b,2197,a(flip)),flip(a)]. 2206 x * K(x \ y,y \ x) = y * (1 / (1 / (y \ x))). [para(2000(a,1),2204(a,1,2))]. 2207 x \ (y * K(y \ x,x \ y)) = 1 / (1 / (x \ y)). [hyper(426,a,2206,a)]. 2209 L(x \ (1 / (1 / (y \ (y * x)))),x,y) = K((y * x) \ y,y \ (y * x)). [para(2207(a,1),343(a,1,1,2))]. 2210 (x / y) * K(y,y \ 1) = x * (1 / (1 / (x \ (x / y)))). [para(2205(a,1),17(a,1,2)),flip(a)]. 2211 K((x / y) \ x,x \ (x / y)) = K(y,y \ 1). [hyper(20,a,2206,a,b,2210,a),flip(a)]. 2212 L(T((x \ y) \ z,z \ (x \ y)),x \ y,x) = ((y \ (x * z)) \ 1) \ 1. [para(1986(a,2),2202(a,1,1))]. 2213 L(x \ (1 / (1 / x)),x,y) = K((y * x) \ y,y \ (y * x)). [para(16(a,1),2209(a,1,1,2,2,2))]. 2214 L(K(x \ 1,x),x,y) = K((y * x) \ y,y \ (y * x)). [para(477(a,1),2213(a,1,1))]. 2215 T(x \ (y * z),z \ (y \ x)) = ((x \ (y * z)) \ 1) \ 1. [hyper(189,a,582,a(flip),b,2212,a(flip)),flip(a)]. 2216 T(a(x,y,z),z \ ((x * y) \ (x * (y * z)))) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(27(a,2),2215(a,1,1))]. 2217 T(a(x,y,z),z \ L(z,y,x)) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(31(a,2),2216(a,1,2,2))]. 2218 T(a(x,y,z),z \ L(z,y,x)) = (a(x,y,z) \ 1) \ 1. [para(27(a,2),2217(a,2,1,1))]. 2219 (((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(33(a,2),1725(a,2,2,1,1))]. 2220 (((x * y) * R((x * y) \ y,z,u)) * w) / (y * w) = R(x,y,w) * R(R(x,y,w) \ 1,z,u). [para(1634(a,1),2219(a,1,1))]. 2221 (((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),2220(a,1,1,1))]. 2222 R(x,y,z) * R(R(x,y,z) \ 1,u,w) = R(x * R(x \ 1,u,w),y,z). [hyper(385,a,2221,a),flip(a)]. 2224 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(189,a,872,a(flip),b,2222,a(flip))]. 2225 ((x \ 1) / (x \ R(x,y,z))) * R(x,y,z) = R(x * T(x \ 1,R(x,y,z)),y,z). [para(1662(a,1),2224(a,1,1,2)),flip(a)]. 2226 ((x \ 1) / (x \ R(x,y,z))) * R(x,y,z) = K(R(x,y,z) \ 1,R(x,y,z)). [hyper(189,a,2014,a(flip),b,2225,a)]. 2227 (x \ 1) / (x \ R(x,y,z)) = R(x,y,z) \ 1. [hyper(21,a,165,a(flip),b,2226,a)]. 2228 ((x * y) * (z * L(z \ ((x * y) \ (y * z)),u,w))) / (R(x,y,z) \ ((x * y) * z)) = R(x,y,z) * L(R(x,y,z) \ 1,u,w). [para(811(a,1),1241(a,1,1))]. 2229 K(x,y) * (z * T(z \ L((y \ 1) \ z,y \ 1,y * K(x,y)),u)) = ((y * K(x,y)) * (y \ T(y,u))) * z. [para(770(a,1),1945(a,2,1,2))]. 2230 (((x * y) * L((x * y) \ y,z,u)) * w) / (R(x,y,w) \ ((x * y) * w)) = R(x,y,w) * L(R(x,y,w) \ 1,z,u). [para(1334(a,1),2228(a,1,1))]. 2231 (((x * L(x \ 1,y,z)) * u) * w) / (R(x,u,w) \ ((x * u) * w)) = R(x,u,w) * L(R(x,u,w) \ 1,y,z). [para(1337(a,1),2230(a,1,1,1))]. 2232 (((x * L(x \ 1,y,z)) * u) * w) / (u * w) = R(x,u,w) * L(R(x,u,w) \ 1,y,z). [para(133(a,1),2231(a,1,2))]. 2233 R(x,y,z) * L(R(x,y,z) \ 1,u,w) = R(x * L(x \ 1,u,w),y,z). [hyper(385,a,2232,a),flip(a)]. 2235 R(x,y,z) * L(R(x,y,z) \ 1,x,1 / x) = R(x * T(1 / x,1),y,z). [para(579(a,1),2233(a,2,1,2))]. 2236 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(880(a,1),2233(a,1,2))]. 2237 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(x * T(1 / x,1),y,z). [para(929(a,1),2235(a,1,2))]. 2238 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(x * (1 / x),y,z). [para(188(a,1),2237(a,2,1,2))]. 2239 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(K(x,x \ 1),y,z). [para(1535(a,2),2238(a,2,1))]. 2240 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(15(a,1),2236(a,1,2,2)),flip(a)]. 2241 (1 / x) * ((((y * x) \ y) \ (((y * x) \ y) * x)) * ((y * x) \ y)) = (T(x,(y * x) \ y) / x) * ((y * x) \ y). [para(792(a,1),1207(a,2,1))]. 2242 (T(x,(y * x) \ y) / x) * ((y * x) \ y) = (1 / x) * (x * ((y * x) \ y)). [para(16(a,1),2241(a,1,2,1)),flip(a)]. 2243 (T(x,(y * x) \ y) / x) * ((y * x) \ y) = L(1 / x,x,y). [hyper(189,a,710,a(flip),b,2242,a)]. 2244 K(x,(y * x) \ y) * ((y * x) \ y) = L(1 / x,x,y). [para(1720(a,1),2243(a,1,1))]. 2245 K(x,x \ 1) * ((y * x) \ y) = L(1 / x,x,y). [para(1990(a,1),2244(a,1,1))]. 2246 ((x * y) \ x) * T(K(y,y \ 1),(x * y) \ x) = L(1 / y,y,x). [hyper(206,a,2245,a)]. 2248 ((x * y) \ x) * K(y,y \ 1) = L(1 / y,y,x). [para(1152(a,1),2246(a,1,2))]. 2249 ((x * y) \ x) \ L(1 / y,y,x) = K(y,y \ 1). [hyper(80,a,2248,a)]. 2251 K(L(x \ 1,x,y) \ 1,L(x \ 1,x,y)) = K(x,x \ 1). [hyper(189,a,2198,a,b,2249,a(flip)),flip(a)]. 2253 x * T(y,L(y \ 1,y,x)) = (x * y) * K(y,y \ 1). [para(2251(a,1),1098(a,1,2)),flip(a)]. 2254 (x * y) * K(y,y \ 1) = x * ((y \ 1) \ 1). [para(1987(a,1),2253(a,1,2)),flip(a)]. 2255 (x * y) * K(y,y \ 1) = x * T(y,y \ 1). [para(1989(a,1),2253(a,1,2)),flip(a)]. 2257 (x / y) * ((y \ 1) \ 1) = x * K(y,y \ 1). [hyper(252,a,2254,a),flip(a)]. 2258 (x * K(y,y \ 1)) * y = x * ((y \ 1) \ 1). [hyper(189,a,1562,a,b,2254,a(flip)),flip(a)]. 2259 K(x,x \ 1) \ (y * ((x \ 1) \ 1)) != z | T(y * x,K(x,x \ 1)) = z. [para(2254(a,1),238(a,1,2))]. 2261 (x * K(y,y \ 1)) * y = x * T(y,y \ 1). [hyper(189,a,1562,a,b,2255,a(flip)),flip(a)]. 2262 (x / T(y,y \ 1)) * K(y,y \ 1) = x / y. [hyper(76,a,258,a(flip),b,2258,a),flip(a)]. 2263 (x * (y \ 1)) * K(y,y \ 1) = x * (1 / y). [hyper(21,a,491,a(flip),b,2258,a)]. 2266 (x * K(y,y \ 1)) * y = x * (K(y,y \ 1) * y). [para(1540(a,2),2258(a,2,2))]. 2267 (x / (y \ 1)) * (1 / y) = x * K(y,y \ 1). [hyper(252,a,2263,a),flip(a)]. 2268 (x * y) * (y \ 1) = R(x,y,1 / y). [hyper(21,a,1547,a,b,2263,a)]. 2269 ((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(2263(a,1),378(a,1,1))]. 2270 R(x,y,1 / y) = R(x,y,y \ 1). [hyper(387,a,2268,a),flip(a)]. 2271 (x * (y \ 1)) * ((y \ 1) \ 1) = R(x,y \ 1,y). [para(67(a,1),2268(a,2,3))]. 2272 (x * (1 / y)) * y = R(x,y \ 1,y). [hyper(189,a,491,a(flip),b,2271,a(flip)),flip(a)]. 2273 R(x,y \ 1,y) / y = x * (1 / y). [hyper(76,a,2271,a(flip),b,491,a(flip))]. 2274 R(x,y \ 1,y) != z | R(x,y \ 1,(y \ 1) \ 1) = z. [para(2271(a,1),387(a,1))]. 2275 R(x,1 / y,y) = R(x,y \ 1,y). [hyper(591,a,2272,a)]. 2276 R(x / (1 / y),y \ 1,y) = x * y. [hyper(252,a,2272,a),flip(a)]. 2277 ((1 / x) * K(y,x)) * x = R(K(y,x),x \ 1,x). [para(1821(a,1),2272(a,1,1))]. 2278 R(x,(1 / y) \ 1,1 / y) / (1 / y) = x * (y * K(y \ 1,y)). [para(474(a,2),2273(a,2,2))]. 2279 R(x,K(y,y \ 1),y) = x. [hyper(376,a,2266,a)]. 2280 L(x,K(x,x \ 1),y) = x. [hyper(346,a,2266,a)]. 2281 R(x,K(y \ 1,y),1 / y) = x. [para(1835(a,1),2279(a,1,2))]. 2282 L(1 / x,K(x \ 1,x),y) = 1 / x. [para(1835(a,1),2280(a,1,2))]. 2283 L(1 / (1 / x),K(x,x \ 1),y) = 1 / (1 / x). [para(2280(a,1),2189(a,2,2,2))]. 2284 (x * K(y \ 1,y)) * (1 / y) = x * (y \ 1). [para(2281(a,1),1831(a,1,1)),flip(a)]. 2285 x * ((y \ 1) * (y * T(y \ 1,x))) = (1 / y) * (x * K(y \ 1,y)). [para(2282(a,1),2121(a,1,1)),flip(a)]. 2286 (x / (y \ 1)) * K(y \ 1,y) = x / (1 / y). [hyper(76,a,19,a(flip),b,2284,a),flip(a)]. 2287 R(x * K(y \ 1,y),y \ 1,y) = (x * (y \ 1)) * y. [para(2284(a,1),2272(a,1,1)),flip(a)]. 2290 (x * K(y,y \ 1)) \ (x * y) = 1 / (1 / y). [hyper(189,a,1611,a(flip),b,2283,a(flip)),flip(a)]. 2292 (x / y) * K(y,y \ 1) = x / (1 / (1 / y)). [para(2290(a,1),234(a,1,2)),flip(a)]. 2293 x * (1 / (1 / (x \ (x / y)))) = x / (1 / (1 / y)). [hyper(189,a,2210,a(flip),b,2292,a(flip)),flip(a)]. 2294 1 / (1 / (x \ (x / y))) = x \ (x / (1 / (1 / y))). [hyper(75,a,2292,a(flip),b,2210,a(flip)),flip(a)]. 2295 x / (1 / (1 / (y \ x))) = x * (1 / (1 / (x \ y))). [para(67(a,1),2293(a,1,2,2,2,2)),flip(a)]. 2296 (x \ (x / (1 / (1 / y)))) \ 1 = 1 / (x \ (x / y)). [para(2294(a,1),69(a,1,1))]. 2297 x / (1 / (1 / ((x * y) \ x))) = x * (1 / (1 / y)). [para(16(a,1),2295(a,2,2,2,2))]. 2298 1 / (x \ (x / (y \ 1))) = (x \ (x / (1 / y))) \ 1. [para(67(a,1),2296(a,1,1,2,2,2)),flip(a)]. 2299 1 / (x \ (x / ((y \ 1) \ 1))) = (x \ (x / y)) \ 1. [para(130(a,1),2296(a,1,1,2,2)),flip(a)]. 2300 x / L(y,y \ 1,x) = x * (1 / (1 / (y \ 1))). [para(2199(a,2),2297(a,1,2))]. 2301 x / L(y,y \ 1,x) = x * (1 / y). [para(67(a,1),2300(a,2,2,2))]. 2302 L(x,x \ 1,y) = (y * (1 / x)) \ y. [para(2301(a,1),69(a,1,1)),flip(a)]. 2303 K(x \ (x / L(y,y \ 1,x)),z) = K(1 / y,z). [para(2301(a,2),1215(a,1,1,2))]. 2304 L(x,1 / x,y) = L(x,x \ 1,y). [hyper(189,a,284,a,b,2302,a),flip(a)]. 2305 L(x \ 1,(x \ 1) \ 1,y) = L(x \ 1,x,y). [para(67(a,1),2304(a,1,2)),flip(a)]. 2306 L(x \ 1,T(x,x \ 1),y) = L(x \ 1,x,y). [para(114(a,2),2305(a,1,2))]. 2307 L(T(x \ 1,x),T(x,x \ 1),y) = (L(x \ 1,x,y) \ 1) \ 1. [para(2306(a,1),2203(a,2,1,1))]. 2308 L(x * T(x \ 1,y),x \ 1,y) = K(1 / x,y). [hyper(189,a,1973,a,b,2303,a(flip)),flip(a)]. 2309 L((1 / x) * T((1 / x) \ 1,y),x,y) = K(1 / (1 / x),y). [para(69(a,1),2308(a,1,2))]. 2310 ((x \ (x / y)) \ 1) \ 1 = x \ (x / ((y \ 1) \ 1)). [para(2299(a,1),69(a,1,1))]. 2311 T(x \ (x / y),y) = x \ (x / ((y \ 1) \ 1)). [hyper(189,a,1996,a,b,2310,a(flip)),flip(a)]. 2312 x * T(x \ (x / y),y) = x / ((y \ 1) \ 1). [para(2311(a,2),17(a,1,2))]. 2313 (x / y) * K(y \ 1,y) = x / ((y \ 1) \ 1). [hyper(189,a,842,a,b,2312,a(flip)),flip(a)]. 2314 (x * y) / ((y \ 1) \ 1) = x * K(y \ 1,y). [para(18(a,1),2313(a,1,1)),flip(a)]. 2316 (x / ((y \ 1) \ 1)) * y = x * K(y \ 1,y). [para(2313(a,1),1197(a,1,1))]. 2317 (x * K(y \ 1,y)) * ((y \ 1) \ 1) = x * y. [para(2314(a,1),19(a,1,1))]. 2318 (x * T(y,z)) / T(T(y,y \ 1),z) = x * K(T(y,z) \ 1,T(y,z)). [para(2093(a,2),2314(a,1,2))]. 2319 (x * ((y \ 1) \ 1)) * K(y \ 1,y) = x * y. [para(18(a,1),2316(a,1,1)),flip(a)]. 2320 (x * T(y,y \ 1)) * K(y \ 1,y) = x * y. [para(531(a,1),2316(a,1,1)),flip(a)]. 2321 T(x * ((y \ 1) \ 1),z) * K(y \ 1,y) = (y \ T(y * x,z)) * y. [para(788(a,1),2316(a,1,1)),flip(a)]. 2322 (x * K(y,y \ 1)) * K(y \ 1,y) = x. [hyper(21,a,2258,a(flip),b,2317,a)]. 2323 (x * K(y \ 1,y)) * K(y,y \ 1) = x. [hyper(21,a,2258,a,b,2317,a(flip)),flip(a)]. 2324 x / K(y,y \ 1) = x * K(y \ 1,y). [hyper(252,a,2322,a),flip(a)]. 2325 (x / y) * y = (x * K(z,z \ 1)) * K(z \ 1,z). [hyper(189,a,19,a,b,2322,a),flip(a)]. 2326 (x * K(y,y \ 1)) \ x = K(y \ 1,y). [hyper(80,a,2322,a)]. 2327 (x / (1 / y)) * K(y,y \ 1) = x / (y \ 1). [hyper(21,a,2286,a,b,2322,a)]. 2329 x * K(y \ 1,y) != z | z * K(y,y \ 1) = x. [para(2322(a,1),23(a,1)),flip(a)]. 2330 (x / (y * x)) * K(y \ 1,y) = R(y \ 1,y,x). [para(1746(a,2),2322(a,1,1))]. 2331 x * K(y,y \ 1) != z | z * K(y \ 1,y) = x. [para(2323(a,1),23(a,1)),flip(a)]. 2332 (x * y) * K(x \ 1,x) = x * (y / K(x,x \ 1)). [hyper(189,a,2040,a(flip),b,2324,a(flip))]. 2333 (x * K(y,y \ 1)) * K(y \ 1,y) != z | z = x. [para(2324(a,1),248(a,1))]. 2334 x * K(y \ 1,y) != z * y | z * ((y \ 1) \ 1) = x. [para(2319(a,1),23(a,1)),flip(a)]. 2335 (x * ((y \ 1) \ 1)) * (y \ 1) = (x * y) * (1 / y). [para(2319(a,1),2284(a,1,1)),flip(a)]. 2336 x * K(y \ 1,y) != z * y | z * T(y,y \ 1) = x. [para(2320(a,1),23(a,1)),flip(a)]. 2337 L(x * ((y \ 1) \ 1),z,u) * K(y \ 1,y) = (y \ L(y * x,z,u)) * y. [para(2082(a,1),2320(a,1,1))]. 2338 (x * T(y,y \ 1)) * (y \ 1) = (x * y) * (1 / y). [para(2320(a,1),2284(a,1,1)),flip(a)]. 2339 (R(x,y,y \ 1) / (1 / y)) * K(y,y \ 1) = x * y. [hyper(189,a,373,a(flip),b,2327,a)]. 2340 K(x / (y * x),y) = K(y \ 1,y). [hyper(20,a,1845,a,b,2330,a),flip(a)]. 2341 K(x / (y * x),(x / (y * x)) \ 1) = K(y \ 1,y). [hyper(2134,a,2340,a)]. 2342 K((x / y) \ 1,x / y) = K(y / x,x / y). [para(19(a,1),2340(a,1,1,2)),flip(a)]. 2343 K(x \ 1,x) * (y / (x * y)) != z | R(x \ 1,x,y) = z. [para(2340(a,1),1780(a,1,1))]. 2345 K((x / (y * x)) \ 1,x / (y * x)) = K(y,x / (y * x)). [para(18(a,1),2342(a,2,1))]. 2349 (x * y) * K(x \ 1,x) = x * (y * K(x \ 1,x)). [para(2324(a,1),2332(a,2,2))]. 2350 ((x / y) * (y / x)) * ((x / y) \ 1) = ((y / x) * (x / y)) * (1 / (x / y)). [para(1769(a,1),2335(a,1,1))]. 2351 ((x / (x * y)) * y) * (1 / y) = (y * (x / (x * y))) * (y \ 1). [para(2112(a,1),2338(a,1,1)),flip(a)]. 2352 K(x \ 1,x) * (y / (x * y)) = ((y / (x * y)) \ 1) \ 1. [para(2341(a,1),1540(a,1,1))]. 2353 R(x,y,K(x \ 1,x)) = x. [hyper(376,a,2349,a)]. 2354 x * (y * K(x \ 1,x)) != z | (x * y) * K(x \ 1,x) = z. [para(2353(a,1),204(a,1,1))]. 2355 R(x,y \ 1,(y \ 1) \ 1) = R(x,1 / y,y). [hyper(2274,a,2275,a(flip))]. 2356 R(x,(y \ 1) \ 1,T(y \ 1,y)) = R(x,1 / (y \ 1),y \ 1). [para(627(a,2),2355(a,1,3))]. 2357 R(((x \ (x / (y \ 1))) * x) * K(y \ 1,y),y \ 1,y) = (x * ((y \ 1) * T((y \ 1) \ 1,x))) * y. [para(1167(a,1),2287(a,2,1))]. 2359 K((x / (y * x)) \ 1,x / (y * x)) = K(y,y \ 1). [hyper(189,a,2129,a(flip),b,2345,a)]. 2361 K((x * y) / y,y / (x * y)) = K(x,x \ 1). [hyper(189,a,2342,a(flip),b,2359,a(flip)),flip(a)]. 2362 K(x,x \ 1) * (x * y) = T(x,x \ 1) * y. [para(2359(a,1),1756(a,1,1))]. 2363 (K(x,x \ 1) * y) / (x * y) = 1 / (1 / R(1 / x,x,y)). [para(2361(a,1),2136(a,1,1,1))]. 2364 T(x,x \ 1) * (x \ y) = K(x,x \ 1) * y. [hyper(254,a,2362,a),flip(a)]. 2365 K(x,x \ 1) * (x * y) = ((x \ 1) \ 1) * y. [hyper(189,a,219,a(flip),b,2362,a)]. 2366 L(x,y,K(y,y \ 1)) = x. [hyper(1556,a,2362,a(flip))]. 2367 x * (K(x,x \ 1) * y) = T(x,x \ 1) * y. [hyper(189,a,1575,a(flip),b,2362,a(flip)),flip(a)]. 2368 (T(x,x \ 1) * y) / (K(x,x \ 1) * y) = x. [hyper(76,a,2362,a(flip),b,1575,a(flip))]. 2371 L(x,K(y \ 1,y),1 / y) = x. [hyper(189,a,1837,a(flip),b,2366,a(flip)),flip(a)]. 2372 L(x,1 / y,K(y \ 1,y)) = x. [para(1835(a,1),2366(a,1,3))]. 2374 (1 / x) * (x * y) = L(y,x,x \ 1). [hyper(189,a,1930,a(flip),b,2371,a(flip)),flip(a)]. 2375 L(x,y,y \ 1) / (y * x) = 1 / y. [hyper(76,a,2371,a(flip),b,1930,a(flip))]. 2376 K(x \ 1,x) * ((x \ 1) \ y) = (1 / x) \ y. [hyper(189,a,1848,a(flip),b,2372,a(flip)),flip(a)]. 2377 L(x,1 / (1 / y),K(y,y \ 1)) = x. [para(1536(a,1),2372(a,1,3))]. 2378 K(x \ 1,x) * ((1 / x) * y) = (x \ 1) * y. [para(2372(a,1),1830(a,1,2)),flip(a)]. 2379 L(x \ y,x,x \ 1) = (1 / x) * y. [para(2372(a,1),1847(a,1,1,2))]. 2380 L(x,y,1 / y) = L(x,y,y \ 1). [hyper(358,a,2374,a)]. 2382 x * ((1 / x) * (y * x)) = L(y,x,x \ 1) * x. [hyper(20,a,864,a(flip),b,2374,a)]. 2383 L(L(x \ y,z,u),x,x \ 1) = L((1 / x) * y,z,u). [hyper(189,a,822,a(flip),b,2374,a(flip))]. 2384 L(T(x,y),y,y \ 1) = (1 / y) * (x * y). [para(113(a,1),2374(a,1,2)),flip(a)]. 2385 L((x \ 1) * y,x,x \ 1) = (1 / x) * L(y,x \ 1,x). [para(166(a,1),2374(a,1,2)),flip(a)]. 2386 L(x,y,y \ 1) \ ((1 / y) * (x * y)) = L(K(x,y),y * x,1 / y). [para(2374(a,1),217(a,1,1))]. 2387 L(L(x,y,z) \ 1,x,x \ 1) = (1 / x) * (L(x,y,z) \ x). [para(964(a,1),2374(a,1,2)),flip(a)]. 2388 L(T(x,y) \ 1,x,x \ 1) = (1 / x) * (T(x,y) \ x). [para(987(a,1),2374(a,1,2)),flip(a)]. 2389 (1 / x) \ L(L(y,x,x \ 1),z,u) != x * w | L(y,z,u) = w. [para(2380(a,1),818(a,1,2,1))]. 2390 (1 / x) * (x * y) != z | L(y,x,x \ 1) = z. [para(2375(a,1),200(a,1,1)),flip(b)]. 2391 K(x,x \ 1) * ((1 / (1 / x)) * y) = x * y. [para(2377(a,1),1612(a,1,2)),flip(a)]. 2392 T(x,y) * L(T(x,y) \ 1,x,x \ 1) = T(x * ((1 / x) * 1),y). [para(2379(a,1),1923(a,2,1,2))]. 2393 T(x,(1 / x) * y) = T(x,(x \ 1) * y). [para(2379(a,1),2056(a,1,2))]. 2394 T(x \ 1,((x \ 1) \ 1) * y) = T(x \ 1,x * y). [para(67(a,1),2393(a,1,2,1)),flip(a)]. 2395 x * ((1 / x) * (y * x)) != z | L(y,x,x \ 1) * x = z. [para(2384(a,1),303(a,1,2))]. 2396 ((x \ 1) \ 1) * (x \ y) = K(x,x \ 1) * y. [hyper(551,a,2364,a)]. 2397 K(x,x \ 1) \ (y * ((x \ 1) \ 1)) = x * T(y,(x \ 1) \ 1). [hyper(75,a,113,a(flip),b,2365,a)]. 2398 x * (K(x,x \ 1) * y) = ((x \ 1) \ 1) * y. [hyper(189,a,1575,a(flip),b,2365,a(flip)),flip(a)]. 2399 R(x,K(x,x \ 1),y) = x. [hyper(1764,a,2368,a)]. 2400 R(1 / x,K(x \ 1,x),y) = 1 / x. [para(1835(a,1),2399(a,1,2))]. 2401 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(2400(a,1),2013(a,1,1)),flip(a)]. 2403 (1 / x) \ ((x \ 1) * y) = K(x \ 1,x) * y. [para(16(a,1),2376(a,1,2)),flip(a)]. 2405 (x \ 1) * ((1 / x) \ y) = K(x \ 1,x) * y. [para(2376(a,1),1630(a,1,2))]. 2406 K((1 / T(x,y)) \ 1,1 / T(x,y)) * (((1 / T(x,y)) \ 1) \ z) = T(1 / (1 / x),y) \ z. [para(2097(a,1),2376(a,2,1))]. 2408 ((x * K(y \ 1,y)) * ((1 / y) * z)) / ((y \ 1) * z) = R(x,K(y \ 1,y),(1 / y) * z). [para(2378(a,1),33(a,2,2)),flip(a)]. 2409 ((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(2378(a,1),348(a,1,1))]. 2411 (1 / (1 / x)) * (K(x,x \ 1) * y) = x * y. [hyper(1577,a,2391,a),flip(a)]. 2412 x * ((1 / (1 / x)) \ y) = K(x,x \ 1) * y. [hyper(254,a,2391,a),flip(a)]. 2413 K(x,x \ 1) * ((y \ (1 / (1 / x))) * y) = x * K(y \ (1 / (1 / x)),y). [para(213(a,1),2391(a,1,2))]. 2414 K(x,x \ 1) * (T(x,y) \ 1) = x * (T(x,y) \ (1 / x)). [hyper(189,a,1776,a(flip),b,2396,a(flip))]. 2415 K(x,x \ 1) * (((x \ 1) \ 1) \ y) = x \ y. [hyper(75,a,17,a(flip),b,2398,a),flip(a)]. 2416 K(x,x \ 1) * (y * (x \ 1)) = y * (1 / x). [hyper(20,a,1895,a(flip),b,2398,a)]. 2417 (1 / x) * (K(x \ 1,x) * y) = (x \ 1) * y. [para(2403(a,1),17(a,1,2))]. 2419 K(x \ 1,x) * ((y * ((1 / x) * z)) / y) = (x \ 1) * (x * ((y * (x \ z)) / y)). [para(939(a,1),2405(a,1,2)),flip(a)]. 2420 K(x,x \ 1) * ((x \ 1) * y) = (1 / x) * y. [hyper(746,a,2411,a),flip(a)]. 2421 K(x,x \ 1) * (x \ y) = (1 / (1 / x)) \ y. [hyper(75,a,17,a(flip),b,2411,a),flip(a)]. 2422 K(x,x \ 1) * L(y,x \ 1,x) = x * ((1 / x) * y). [para(745(a,1),2412(a,1,2)),flip(a)]. 2423 K(x / y,(x / y) \ 1) \ y = (((x / y) \ 1) \ 1) \ x. [hyper(75,a,69,a(flip),b,2415,a)]. 2426 (1 / x) \ (K(x,x \ 1) * y) = (x \ 1) \ y. [hyper(432,a,2420,a)]. 2427 (1 / x) * ((x \ 1) \ y) = K(x,x \ 1) * y. [hyper(254,a,2420,a),flip(a)]. 2428 K(x,x \ 1) \ ((1 / x) * y) = (x \ 1) * y. [hyper(80,a,2420,a)]. 2429 K(x,x \ 1) \ ((1 / x) * y) != z | (x \ 1) * y = z. [para(2420(a,1),237(a,1,2)),flip(b)]. 2430 (x * ((1 / y) * z)) / L((y \ 1) * z,K(y,y \ 1),x) = x * K(y,y \ 1). [para(2420(a,1),128(a,1,1,2))]. 2431 (x * K(y,y \ 1)) \ (x * ((1 / y) * z)) != u | L((y \ 1) * z,K(y,y \ 1),x) = u. [para(2420(a,1),355(a,1,2,2))]. 2432 (1 / x) \ (K(x,x \ 1) * (T(x,y) \ 1)) = (x \ T(x,y)) \ 1. [hyper(189,a,2064,a(flip),b,2426,a)]. 2433 K(x,x \ 1) * ((1 / x) \ y) = (x \ 1) \ y. [hyper(189,a,1087,a(flip),b,2427,a(flip))]. 2434 (1 / x) \ ((x \ 1) * (K(x,x \ 1) * y)) = y. [hyper(20,a,16,a(flip),b,2433,a)]. 2435 ((x \ 1) \ 1) \ ((x \ 1) \ y) = x \ ((1 / x) \ y). [hyper(75,a,2433,a(flip),b,2396,a)]. 2436 K(x,x \ 1) * (((x \ y) / y) * x) = (x \ 1) \ ((x \ y) / y). [para(912(a,1),2433(a,1,2))]. 2437 K(x \ 1,x) * (K(x,x \ 1) * y) = y. [hyper(189,a,2403,a(flip),b,2434,a(flip)),flip(a)]. 2438 K(x \ 1,x) \ y = K(x,x \ 1) * y. [hyper(75,a,2434,a(flip),b,2403,a(flip))]. 2439 K(x,x \ 1) * (K(x \ 1,x) * y) = y. [hyper(20,a,2403,a(flip),b,2434,a(flip)),flip(a)]. 2440 (x \ 1) * (K(x,x \ 1) * y) = (1 / x) * y. [para(2434(a,1),17(a,1,2)),flip(a)]. 2441 K(x \ 1,x) * y != z | K(x,x \ 1) * z = y. [para(2437(a,1),22(a,1)),flip(a)]. 2442 K(x \ 1,x) * (T(x,x \ 1) * y) = x * y. [para(2362(a,1),2437(a,1,2))]. 2443 K(x \ 1,x) * (((x \ 1) \ 1) * y) = x * y. [para(2365(a,1),2437(a,1,2))]. 2444 K(x \ 1,x) * (x * y) = (1 / (1 / x)) * y. [para(2391(a,1),2437(a,1,2))]. 2445 K(x \ 1,x) * (x \ y) = ((x \ 1) \ 1) \ y. [para(2415(a,1),2437(a,1,2))]. 2446 K(x \ 1,x) * (y * (1 / x)) = y * (x \ 1). [para(2416(a,1),2437(a,1,2))]. 2447 K(x \ 1,x) * ((1 / (1 / x)) \ y) = x \ y. [para(2421(a,1),2437(a,1,2))]. 2448 K(x \ 1,x) \ (x * y) = ((x \ 1) \ 1) * y. [hyper(189,a,2365,a(flip),b,2438,a)]. 2449 K(x \ 1,x) * (K(x,x \ 1) * y) != z | z = y. [para(2438(a,1),203(a,1,2))]. 2451 K(x \ 1,x) * R(K(x,x \ 1) * (y * x),z,u) = (x \ R(x * y,z,u)) * x. [para(2438(a,1),2023(a,1,2,1))]. 2452 x \ (K(x \ 1,x) * y) = ((x \ 1) \ 1) \ y. [hyper(75,a,2439,a(flip),b,2396,a),flip(a)]. 2453 x \ (K(x \ 1,x) * y) = T(x,x \ 1) \ y. [hyper(75,a,2439,a(flip),b,2364,a),flip(a)]. 2454 T(x,x \ 1) * (K(x \ 1,x) * y) = x * y. [para(2439(a,1),2367(a,1,2)),flip(a)]. 2455 ((x \ 1) \ 1) * (K(x \ 1,x) * y) = x * y. [para(2439(a,1),2398(a,1,2)),flip(a)]. 2456 (x \ 1) * (K(x,x \ 1) * L((1 / x) \ y,z,u)) = L(y * x,z,u) / x. [hyper(189,a,1285,a(flip),b,2440,a)]. 2458 x * (T(T(x,x \ 1),y) * (T(x,x \ 1) \ z)) = K(x \ 1,x) * (T(T(x,x \ 1),y) * z). [para(974(a,1),2442(a,1,2)),flip(a)]. 2460 (1 / (1 / x)) * (x \ y) = K(x \ 1,x) * y. [hyper(254,a,2444,a),flip(a)]. 2461 ((1 / (1 / x)) * y) / (K(x \ 1,x) * y) = x. [hyper(76,a,2444,a(flip),b,1191,a(flip))]. 2462 T(x \ (y \ x),y) = x \ (((y \ 1) \ 1) \ x). [hyper(75,a,2445,a(flip),b,910,a(flip)),flip(a)]. 2463 K(x \ 1,x) * (1 / T(x,y)) = x \ (x / T(x,y)). [para(2119(a,1),2447(a,1,2))]. 2464 (x \ 1) \ (K(x,x \ 1) * y) = (((x \ 1) \ 1) \ 1) \ y. [para(1838(a,1),2452(a,1,2,1))]. 2465 x * (T(T(x,y),z) * (T(x,x \ 1) \ u)) = T(T(x,y),z) * (K(x \ 1,x) * u). [para(2453(a,1),1698(a,1,2,2))]. 2466 T(R(x,y,z),R(x,y,z) \ 1) \ ((x * y) * z) = K(R(x,y,z) \ 1,R(x,y,z)) * (y * z). [hyper(75,a,110,a(flip),b,2454,a)]. 2467 R(x,K(x \ 1,x),y) = x. [hyper(649,a,2461,a)]. 2468 (T(x,y) * K(x \ 1,x)) * z = T(x,y) * (K(x \ 1,x) * z). [para(2467(a,1),380(a,1,1,1)),flip(a)]. 2469 T(x \ ((1 / y) \ x),1 / y) = x \ ((y \ 1) \ x). [para(69(a,1),2462(a,2,2,1,1))]. 2473 T(K(x \ 1,x),y) = K(x \ 1,x). [hyper(21,a,1454,a,b,2463,a),flip(a)]. 2475 K(x \ 1,x) * y = y * K(x \ 1,x). [para(2473(a,1),113(a,1,2)),flip(a)]. 2476 T((x \ 1) * x,y) = K(x \ 1,x). [para(165(a,1),2473(a,1,1))]. 2477 x * K(y \ 1,y) != z | K(y \ 1,y) * x = z. [para(2473(a,1),205(a,1,2))]. 2479 (K(x,x \ 1) * y) * K(x \ 1,x) = y. [hyper(2449,a,2475,a)]. 2480 K(x,x \ 1) * (y * K(x \ 1,x)) = y. [hyper(2441,a,2475,a)]. 2481 K(x \ 1,x) * (y * K(x,x \ 1)) = y. [hyper(189,a,2322,a(flip),b,2475,a)]. 2482 K(x \ 1,x) * (y * T(x,x \ 1)) = y * x. [hyper(189,a,2320,a(flip),b,2475,a)]. 2483 K(x \ 1,x) * (y / x) = y / ((x \ 1) \ 1). [hyper(189,a,2313,a(flip),b,2475,a)]. 2484 K(x \ 1,x) * (y / (x \ 1)) = y / (1 / x). [hyper(189,a,2286,a(flip),b,2475,a)]. 2485 K(x \ 1,x) * (y / x) = y * T(y \ (y / x),x). [hyper(189,a,842,a(flip),b,2475,a)]. 2486 (K(x \ 1,x) * y) * K(x,x \ 1) = y. [hyper(20,a,2322,a(flip),b,2475,a)]. 2487 (x \ 1) * ((1 / x) \ y) = y * K(x \ 1,x). [hyper(189,a,2405,a,b,2475,a(flip)),flip(a)]. 2488 (x * y) * K(x \ 1,x) = (1 / (1 / x)) * y. [hyper(189,a,2444,a(flip),b,2475,a(flip))]. 2489 ((1 / x) * y) * K(x \ 1,x) = (x \ 1) * y. [hyper(189,a,2378,a(flip),b,2475,a(flip))]. 2490 ((x \ 1) \ y) * K(x \ 1,x) = (1 / x) \ y. [hyper(189,a,2376,a(flip),b,2475,a(flip))]. 2491 L(x \ 1,x,K(y \ 1,y)) = (x * K(y \ 1,y)) \ K(y \ 1,y). [para(2475(a,1),140(a,2,1))]. 2492 (x * K(y \ 1,y)) * L(z,x,K(y \ 1,y)) = K(y \ 1,y) * (x * z). [para(2475(a,1),102(a,1,1))]. 2493 T(x * K(y \ 1,y),y) = K(y \ 1,y) * T(x,y). [para(2475(a,1),2050(a,1,1))]. 2494 K(x \ 1,x) * y != z | z * K(x,x \ 1) = y. [para(2475(a,2),2329(a,1))]. 2495 K(x \ 1,x) * (y * K(x,x \ 1)) != z | z = y. [para(2475(a,2),2333(a,1))]. 2496 (1 / x) * (y * K(x \ 1,x)) = (x \ 1) * y. [para(2475(a,1),2417(a,1,2))]. 2497 x \ (y * K(x \ 1,x)) = T(x,x \ 1) \ y. [para(2475(a,1),2453(a,1,2))]. 2498 ((x \ 1) \ 1) * (y * K(x \ 1,x)) = x * y. [para(2475(a,1),2455(a,1,2))]. 2499 x * K(y \ 1,y) != z | K(y,y \ 1) * z = x. [para(2475(a,1),2441(a,1))]. 2500 K(x,x \ 1) * (y * x) = y * T(x,x \ 1). [hyper(2336,a,2479,a),flip(a)]. 2501 K(x,x \ 1) * (y * x) = y * ((x \ 1) \ 1). [hyper(2334,a,2479,a),flip(a)]. 2502 K(x,x \ 1) * y = y * K(x,x \ 1). [hyper(2329,a,2479,a),flip(a)]. 2503 R((K(x,x \ 1) * y) / z,z,K(x \ 1,x)) = y / (z * K(x \ 1,x)). [para(2479(a,1),111(a,2,1))]. 2504 (x * (T(x,y) / x)) * K(x \ 1,x) = T(1 / (1 / x),y). [para(1617(a,1),2479(a,1,1))]. 2505 (K(x,x \ 1) * y) * x = y * ((x \ 1) \ 1). [para(2479(a,1),2317(a,1,1)),flip(a)]. 2506 K(x \ 1,x) * y != z | y * K(x \ 1,x) = z. [para(2480(a,1),2449(a,1,2)),flip(b)]. 2507 ((x \ 1) * y) * K(x,x \ 1) = (1 / x) * y. [hyper(20,a,2378,a,b,2481,a)]. 2508 ((1 / x) \ y) * K(x,x \ 1) = (x \ 1) \ y. [hyper(20,a,2376,a,b,2481,a)]. 2509 L((x * K(y,y \ 1)) \ z,x * K(y,y \ 1),K(y \ 1,y)) = x \ (K(y \ 1,y) * z). [para(2481(a,1),104(a,2,1))]. 2510 (x \ 1) * (y * K(x,x \ 1)) = (1 / x) * y. [para(2481(a,1),2417(a,1,2)),flip(a)]. 2511 x * K(y,y \ 1) != z | K(y \ 1,y) * z = x. [para(2486(a,1),23(a,1)),flip(a)]. 2512 (x / y) * ((y \ 1) \ 1) = K(y,y \ 1) * x. [hyper(189,a,2257,a,b,2502,a),flip(a)]. 2513 T(x,K(y,y \ 1)) = x. [hyper(149,a,2502,a)]. 2514 T(K(x,x \ 1),y) = K(x,x \ 1). [hyper(147,a,2502,a,b,xx)]. 2515 (x * K(y,y \ 1)) \ ((T(x,K(y,y \ 1)) * z) * K(y,y \ 1)) = L(z,T(x,K(y,y \ 1)),K(y,y \ 1)). [hyper(75,a,2502,a(flip),b,353,a)]. 2518 (K(x,x \ 1) * y) * x = y * T(x,x \ 1). [para(2502(a,2),2261(a,1,1))]. 2519 T(x * y,K(z,z \ 1)) != y * u | T(x,y) = u. [para(2513(a,2),148(a,2)),flip(a)]. 2520 K(x,x \ 1) * y != z | y * K(x,x \ 1) = z. [para(2513(a,1),205(a,1,2))]. 2521 T(x,K(y \ z,z \ y)) = x. [para(1992(a,1),2513(a,1,2))]. 2522 K(x \ y,y \ x) * z = z * K(x \ y,y \ x). [hyper(1882,a,2521,a),flip(a)]. 2523 x * K(y,y \ 1) != z | K(y,y \ 1) * x = z. [para(2514(a,1),205(a,1,2))]. 2524 ((x * y) * K(z,z \ 1)) / (K(z,z \ 1) * y) = R(x,y,T(K(z,z \ 1),y)). [para(2514(a,1),156(a,1,1,2))]. 2525 T(x,T(x,y) \ 1) = x * K(x,x \ 1). [para(2514(a,1),1808(a,1,2)),flip(a)]. 2527 T(x,T(x,y) \ 1) = (x \ 1) \ 1. [hyper(189,a,1761,a(flip),b,2525,a)]. 2528 T(x,T(x,y) \ 1) = T(x,x \ 1). [hyper(189,a,1754,a(flip),b,2525,a)]. 2530 (T(x,y) \ x) / ((x \ 1) \ 1) = T(x,y) \ 1. [para(2527(a,1),992(a,1,2))]. 2531 ((1 / (1 / x)) * y) * (1 / x) = (x * y) * (x \ 1). [para(2488(a,1),2284(a,1,1))]. 2534 ((1 / x) \ y) * (1 / x) = ((x \ 1) \ y) * (x \ 1). [para(2490(a,1),2284(a,1,1))]. 2536 ((x \ 1) \ 1) \ (x * y) = y * K(x \ 1,x). [hyper(80,a,2498,a)]. 2537 K(x,x \ 1) * (((x \ y) / y) * x) != z | x * ((x \ y) / y) = z. [para(2500(a,2),1757(a,1))]. 2538 (((x \ 1) \ 1) \ y) * ((x \ 1) \ 1) = (x \ y) * x. [para(2415(a,1),2505(a,1,1)),flip(a)]. 2539 ((1 / (1 / x)) \ y) * x = (x \ y) * ((x \ 1) \ 1). [para(2421(a,1),2505(a,1,1))]. 2540 (T(x,y) \ 1) * T(x,x \ 1) = T(x,y) \ x. [para(2530(a,1),530(a,1,1))]. 2542 ((x \ 1) \ 1) \ y != z | (x \ y) * K(x \ 1,x) = z. [para(2445(a,1),2506(a,1))]. 2543 1 / (x \ ((y \ 1) \ x)) = (x \ ((1 / y) \ x)) \ 1. [para(2469(a,1),2114(a,1,2))]. 2544 K(L(x,y,z) \ 1,L(x,y,z)) * (x / L(x,y,z)) = x * T(L(x,y,z) \ 1,x). [para(1269(a,1),2485(a,2,2))]. 2546 K(x \ y,y \ x) * x = y * (1 / (1 / (y \ x))). [hyper(189,a,2206,a(flip),b,2522,a)]. 2548 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ (1 / (1 / x))) * y) * (1 / x). [para(213(a,1),2531(a,1,1)),flip(a)]. 2549 (((x \ 1) \ 1) \ y) * ((x \ 1) \ 1) != y * z | K(x \ y,x) = z. [para(2538(a,2),334(a,1))]. 2550 (x \ ((1 / (1 / y)) \ x)) \ 1 = 1 / (x \ (y \ x)). [para(69(a,1),2543(a,1,2,2,1)),flip(a)]. 2551 x * (1 / (1 / (x \ y))) != z * y | K(y \ x,x \ y) = z. [para(2546(a,1),23(a,1))]. 2552 1 / (1 / (x \ (y \ x))) = x \ ((1 / (1 / y)) \ x). [para(2550(a,1),67(a,1,2))]. 2553 x * (1 / (1 / (x \ (y \ x)))) != z * u | ((1 / (1 / y)) \ x) / u = z. [para(2552(a,2),298(a,1,2))]. 2554 L(x,1 / y,y) = L(x,y \ 1,y). [hyper(1548,a,2422,a)]. 2555 L(x,(y \ 1) \ 1,y \ 1) = L(x,y,y \ 1). [para(67(a,1),2554(a,1,2)),flip(a)]. 2556 L(((x \ 1) \ 1) \ y,x,x \ 1) = (x \ 1) * y. [hyper(367,a,2555,a),flip(a)]. 2557 L(x,y,z) * L(L(x,y,z) \ 1,x,x \ 1) = L(x * (1 / (1 / (x \ 1))),y,z). [para(2555(a,1),2158(a,1,2))]. 2558 L(x * K(y \ 1,y),y,y \ 1) = (y \ 1) * (y * x). [para(2536(a,1),2556(a,1,1))]. 2560 L((x \ 1) * ((1 / x) \ y),x,x \ 1) = (x \ 1) * (x * y). [para(2487(a,2),2558(a,1,1))]. 2561 R(x \ 1,x,y) = ((y / (x * y)) \ 1) \ 1. [hyper(2343,a,2352,a)]. 2562 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(2385(a,2),1921(a,1,1))]. 2563 K(x \ 1,x) \ (x * y) = (((y / (x * y)) \ 1) \ 1) \ y. [para(2341(a,1),2423(a,1,1))]. 2565 R(x \ 1,x,y) \ y = K(x \ 1,x) \ (x * y). [para(2561(a,2),2563(a,2,1)),flip(a)]. 2566 R(x \ 1,x,y) \ y = ((x \ 1) \ 1) * y. [hyper(189,a,2448,a(flip),b,2565,a)]. 2567 R(x \ 1,x,y) \ y = T(x,x \ 1) * y. [hyper(189,a,219,a,b,2566,a)]. 2568 R(x,1 / x,y) \ y = (((1 / x) \ 1) \ 1) * y. [para(69(a,1),2566(a,1,1,1))]. 2569 (((x / (y * x)) \ 1) \ 1) \ x = T(y,y \ 1) * x. [para(2561(a,1),2567(a,1,1))]. 2570 R(x,1 / x,y) \ y = (x \ 1) * y. [para(69(a,1),2568(a,2,1,1))]. 2571 R(x,1 / x,y) = y / ((x \ 1) * y). [para(2570(a,1),67(a,1,2)),flip(a)]. 2572 R(x,1 / x,y) = R(x,x \ 1,y). [hyper(189,a,139,a,b,2571,a)]. 2573 R(x \ 1,(x \ 1) \ 1,y) = R(x \ 1,x,y). [para(67(a,1),2572(a,1,2)),flip(a)]. 2574 L(R(x,x \ 1,y),x \ 1,x) = R(1 / (1 / x),1 / x,y). [para(2572(a,1),475(a,1,1))]. 2575 T(x / y,(x / y) \ 1) * y = (((y / x) \ 1) \ 1) \ y. [para(19(a,1),2569(a,1,1,1,1,2)),flip(a)]. 2576 (((x / y) \ 1) \ 1) \ x = (((y / x) \ 1) \ 1) * x. [hyper(551,a,2575,a),flip(a)]. 2577 (((x / y) \ 1) \ 1) \ x = x * (((x \ y) \ 1) \ 1). [hyper(189,a,2103,a(flip),b,2576,a)]. 2578 ((x * y) * z) * (((((x * y) * z) \ (y * z)) \ 1) \ 1) = ((R(x,y,z) \ 1) \ 1) \ ((x * y) * z). [para(33(a,2),2577(a,1,1,1,1)),flip(a)]. 2579 L(T(x,y) / x,x,y) = K(1 / (1 / x),y). [para(792(a,1),2309(a,1,1))]. 2580 K(1 / (1 / x),y) = (x * K(x,y)) / x. [hyper(189,a,676,a(flip),b,2579,a(flip))]. 2581 T(K(1 / (1 / x),y),x) = K(x,y). [para(2580(a,2),142(a,1,1))]. 2582 T(K(1 / (x \ 1),y),T(x,x \ 1)) = K(T(x,x \ 1),y). [para(174(a,1),2581(a,1,1,1,2))]. 2583 T(K(x,y),T(x,x \ 1)) = K(T(x,x \ 1),y). [para(67(a,1),2582(a,1,1,1))]. 2584 K(T(x,x \ 1),y) = T(K(x,y),x). [hyper(189,a,2061,a(flip),b,2583,a(flip))]. 2585 T(K(x,y),x) = K((x \ 1) \ 1,y). [para(114(a,1),2584(a,1,1)),flip(a)]. 2586 x * K((x \ 1) \ 1,y) = K(x,y) * x. [para(2585(a,1),113(a,1,2))]. 2587 R(1 / (1 / (1 / x)),x,y) = 1 / (1 / R(1 / x,x,y)). [hyper(1561,a,2363,a)]. 2589 T(R(1 / (1 / (1 / x)),x,y),x * y) = T(1 / (1 / (y / (x * y))),x * y). [para(2587(a,2),2027(a,1,1))]. 2591 R(1 / (1 / x),1 / x,y) = R(1 / (1 / x),x \ 1,y). [hyper(189,a,475,a(flip),b,2574,a(flip))]. 2592 R(1 / (1 / x),x \ 1,(1 / x) \ y) = ((1 / x) \ y) / y. [hyper(741,a,2591,a),flip(a)]. 2593 ((1 / x) \ y) \ (y * R(1 / (1 / x),x \ 1,(1 / x) \ y)) = K(y,((1 / x) \ y) / y). [para(2592(a,2),98(a,1,2,2))]. 2594 x / ((L(y \ 1,y,x) \ 1) \ 1) = x * T(y,y \ 1). [para(2307(a,1),634(a,1,2))]. 2595 T(K(x,y),L(x \ 1,x,y) \ 1) = K(y \ (y * T(x,x \ 1)),y). [para(2594(a,1),1380(a,2,1,2))]. 2596 (1 / (1 / x)) * (y / (y * x)) = (y / (y * x)) * x. [hyper(21,a,2531,a,b,2351,a),flip(a)]. 2597 T(1 / (1 / x),y / (y * x)) = x. [hyper(147,a,2596,a,b,xx)]. 2599 T(1 / (1 / x),(y / x) / y) = x. [para(19(a,1),2597(a,1,2,2))]. 2600 (1 / (1 / x)) \ (((y / x) / y) * x) = (y / x) / y. [para(2599(a,1),144(a,1,2,2))]. 2601 (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(1420(a,2),2600(a,1,2))]. 2602 R(x,(y \ 1) \ 1,T(y \ 1,y)) = R(x,y,y \ 1). [para(67(a,1),2356(a,2,2))]. 2603 R(x,T(y,y \ 1),T(y \ 1,y)) = R(x,y,y \ 1). [para(114(a,2),2602(a,1,2))]. 2604 (1 / x) \ (x * (T(x,y) \ (1 / x))) = (x \ T(x,y)) \ 1. [para(2414(a,1),2432(a,1,2))]. 2605 L(x,K(y \ 1,y),T(y,z)) = x. [hyper(346,a,2468,a)]. 2606 R(x,y,1 / y) / (1 / y) = x * (y * K(y \ 1,y)). [para(69(a,1),2278(a,1,1,2))]. 2607 R(x,y,y \ 1) / (1 / y) = x * (y * K(y \ 1,y)). [para(2270(a,1),2606(a,1,1))]. 2608 R(x,y,y \ 1) / (1 / y) = x * (1 / (1 / y)). [para(474(a,1),2607(a,2,2))]. 2609 (x * (1 / (1 / y))) * K(y,y \ 1) = x * y. [para(2608(a,1),2339(a,1,1))]. 2610 K(x,x \ 1) * (y * (1 / (1 / x))) = y * x. [hyper(2523,a,2609,a)]. 2611 (x * y) * K(y \ 1,y) = x * (1 / (1 / y)). [hyper(2331,a,2609,a)]. 2612 (x / (1 / (1 / y))) * y = x * K(y,y \ 1). [hyper(252,a,2609,a),flip(a)]. 2613 (x * y) \ (x * (1 / (1 / y))) = K(y \ 1,y). [para(2609(a,1),2326(a,1,1))]. 2614 R(T(x / (1 / (1 / y)),y * z),y,z) = (y * z) \ ((x * K(y,y \ 1)) * z). [para(2612(a,1),507(a,1,2,1)),flip(a)]. 2615 L(K(x \ 1,x),x,y) = K(x \ 1,x). [hyper(647,a,2613,a)]. 2616 K((x * y) \ x,x \ (x * y)) = K(y \ 1,y). [hyper(189,a,2214,a(flip),b,2615,a(flip)),flip(a)]. 2618 K((x * y) \ x,y) = K(y \ 1,y). [para(16(a,1),2616(a,1,2))]. 2619 K((x \ y) \ 1,x \ y) = K(y \ x,x \ y). [para(17(a,1),2618(a,1,1,1)),flip(a)]. 2620 K(T(x,y) \ 1,T(x,y)) = K((x * y) \ y,T(x,y)). [para(113(a,1),2618(a,1,1,1)),flip(a)]. 2621 x * K(y \ x,x \ y) = y * (((y \ x) \ 1) \ 1). [para(2619(a,1),1998(a,1,2))]. 2622 ((x \ y) * z) * K(y \ x,x \ y) = (1 / (1 / (x \ y))) * z. [para(2619(a,1),2488(a,1,2))]. 2623 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(1463(a,1),2620(a,2,1,1))]. 2624 K(x \ y,y \ x) * y = x * (((x \ y) \ 1) \ 1). [hyper(189,a,2522,a,b,2621,a(flip)),flip(a)]. 2625 ((x \ (x / y)) * z) * K(y,y \ 1) = (1 / (1 / (x \ (x / y)))) * z. [para(2211(a,1),2622(a,1,2))]. 2626 T(x,y) * ((1 / x) * (T(x,y) \ x)) = T(x * ((1 / x) * 1),y). [para(2388(a,1),2392(a,1,2))]. 2627 T(x,y) * ((1 / x) * (T(x,y) \ x)) = T(x * (1 / x),y). [para(15(a,1),2626(a,2,1,2))]. 2628 T(x,y) * ((1 / x) * (T(x,y) \ x)) = T(K(x,x \ 1),y). [para(1535(a,2),2627(a,2,1))]. 2629 T(x,y) \ K(x,x \ 1) = (1 / x) * (T(x,y) \ x). [hyper(75,a,2514,a(flip),b,2628,a)]. 2630 (x \ 1) \ ((x \ y) / y) != z | x * ((x \ y) / y) = z. [para(2436(a,1),2537(a,1))]. 2631 T(K(x,y),L(x \ 1,x,y) \ 1) = K(T(x,x \ 1),y). [hyper(189,a,1215,a(flip),b,2595,a)]. 2633 T(K(x,y),L(x \ 1,x,y) \ 1) = K((x \ 1) \ 1,y). [para(114(a,1),2631(a,2,1))]. 2634 T(K(x,y),((y * x) \ y) \ 1) = K((x \ 1) \ 1,y). [para(140(a,1),2633(a,1,2,1))]. 2635 (((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)) = K((y \ 1) \ 1,x). [hyper(2080,a,2634,a)]. 2636 (x \ 1) * (x * T(x \ 1,y)) = T(x \ 1,y). [hyper(147,a,2496,a(flip),b,2285,a),flip(a)]. 2638 (x \ 1) \ T(x \ 1,y) = x * T(x \ 1,y). [hyper(80,a,2636,a)]. 2641 K(x \ (x / y),x) = (y \ 1) \ T(y \ 1,x). [hyper(189,a,886,a,b,2638,a),flip(a)]. 2642 T(x,T(x \ 1,y)) = (x \ 1) \ 1. [hyper(147,a,2638,a(flip),b,773,a)]. 2643 L(x * T(x \ 1,y),x \ 1,y) = K(x \ 1,y). [para(2638(a,1),584(a,2,1)),flip(a)]. 2645 T(x,T(x \ 1,y)) = T(x,x \ 1). [hyper(189,a,114,a,b,2642,a)]. 2647 K(1 / x,y) = K(x \ 1,y). [hyper(189,a,2308,a(flip),b,2643,a(flip)),flip(a)]. 2648 K((x \ 1) \ 1,y) = K(x,y). [para(67(a,1),2647(a,1,1)),flip(a)]. 2649 T(K(x,y),x) = K(x,y). [hyper(189,a,2585,a,b,2648,a(flip)),flip(a)]. 2650 K(x,y) * x = x * K(x,y). [para(2648(a,1),2586(a,1,2)),flip(a)]. 2651 T(x,K(x,y)) = x. [hyper(38,a,2649,a)]. 2652 (x * K(x,y)) / x = K(x,y). [para(2649(a,1),143(a,1,1,2))]. 2653 R(K(x,y),z,u) * x = x * R(K(x,y),z,u). [para(2649(a,1),160(a,1,2,1)),flip(a)]. 2654 K(x,y) * x != z | x * K(x,y) = z. [para(2651(a,1),205(a,1,2))]. 2655 T(x,y) * K(x,z) = K(x,z) * T(x,y). [para(2651(a,1),158(a,1,2,1)),flip(a)]. 2656 T((x * y) / x,K(y,z)) = (x * y) / x. [para(2651(a,1),330(a,1,1,2)),flip(a)]. 2657 K(x,y) * R(x,z,u) != w | R(x,z,u) * K(x,y) = w. [para(2651(a,1),304(a,1,2,1))]. 2658 T(K(x,y),x) != z | K(x,y) = z. [para(2652(a,1),242(a,1,1)),flip(b)]. 2659 K((x \ 1) \ 1,y) != z | K(x,y) = z. [para(2585(a,1),2658(a,1))]. 2662 T(K(x,y),T(x,z)) = K(x,y). [hyper(148,a,2655,a)]. 2664 T(x,y) * K(x,z) != u | K(x,z) * T(x,y) = u. [para(2662(a,1),205(a,1,2))]. 2665 T(K(x,y),(z * x) / z) = K(x,y). [hyper(38,a,2656,a)]. 2666 T(x,R(K(x,y),z,u)) = x. [hyper(148,a,2653,a)]. 2667 K(x,R(K(x,y),z,u)) = 1. [hyper(39,a,2666,a)]. 2668 ((x \ (x / (y \ 1))) * z) * K(y \ 1,y) = (1 / (1 / (x \ (x / (y \ 1))))) * z. [para(1538(a,1),2625(a,1,2))]. 2669 (((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)) = K(y,x). [hyper(189,a,2648,a(flip),b,2635,a)]. 2670 T(x * y,K(y,y \ 1)) = y * T(x,(y \ 1) \ 1). [hyper(2259,a,2397,a)]. 2671 T(x,(y \ 1) \ 1) = T(x,y). [hyper(2519,a,2670,a),flip(a)]. 2672 T(x,1 / y) = T(x,y \ 1). [para(69(a,1),2671(a,1,2,1)),flip(a)]. 2673 T(x,T(y,y \ 1)) = T(x,y). [para(114(a,2),2671(a,1,2))]. 2674 T(x,1 / (1 / y)) = T(x,y). [para(134(a,1),2671(a,1,2)),flip(a)]. 2675 T(x,T(y \ 1,y)) = T(x,y \ 1). [para(627(a,2),2671(a,1,2))]. 2676 T(x,T((y \ 1) \ 1,z)) = T(x,T(y,z)). [para(2095(a,1),2671(a,1,2))]. 2677 T(x,T(1 / y,z)) = T(x,T(y \ 1,z)). [para(2096(a,1),2671(a,1,2)),flip(a)]. 2678 T(x,R(y \ 1,y,z)) = T(x,z / (y * z)). [para(2561(a,2),2671(a,1,2))]. 2680 T(((1 / x) * y) * x,x \ 1) = R(y,1 / x,x). [hyper(189,a,739,a(flip),b,2672,a(flip))]. 2681 (1 / x) * T(y,x \ 1) = y * (1 / x). [para(2672(a,1),113(a,1,2))]. 2682 ((1 / x) \ (y / x)) * (1 / x) = T(y,x \ 1) / x. [para(2672(a,1),804(a,2,1))]. 2685 T(x,x \ 1) * T(y,x) = y * T(x,x \ 1). [para(2673(a,1),113(a,1,2))]. 2686 ((x \ 1) \ 1) * T(y,x) = y * T(x,x \ 1). [para(2673(a,1),524(a,1,2))]. 2687 T(x,T(1 / x,y)) = T(x,x \ 1). [hyper(189,a,2645,a(flip),b,2677,a)]. 2688 T(x,x \ 1) * T(x \ 1,y) = x * T(1 / x,y). [para(2687(a,1),1310(a,1,1))]. 2689 R(T(x,x \ 1),y,z) \ R(x,y,z) = (R(x,y,z) \ (R(x,y,z) / x)) * x. [para(2687(a,1),2017(a,1,1,1))]. 2690 (1 / x) * T(y,x \ 1) = y * (1 \ (1 / x)). [para(58(a,2),2681(a,2,2))]. 2691 (1 / (1 / x)) * (x \ y) = (y / x) * (1 / (1 / x)). [para(497(a,1),2681(a,1,2))]. 2692 T(x,R(1 / y,y,z)) = T(x,R(y \ 1,y,z)). [para(141(a,2),2678(a,2,2)),flip(a)]. 2694 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = R((x \ 1) * T(x,x \ 1),y,z). [para(2685(a,1),2141(a,2,1))]. 2695 (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(2686(a,2),447(a,2,1))]. 2696 T(x,R(y \ 1,(y \ 1) \ 1,z)) = T(x,R(1 / y,y,z)). [para(2573(a,2),2692(a,2,2)),flip(a)]. 2697 T((K(x,x \ 1) * y) * x,x \ 1) = R((x \ 1) \ y,1 / x,x). [para(2427(a,1),2680(a,1,1,1))]. 2698 T(x,(y \ x) \ 1) / (y \ x) = ((1 / (y \ x)) \ y) * (1 / (y \ x)). [para(67(a,1),2682(a,1,1,2)),flip(a)]. 2699 ((x \ 1) \ 1) * T(x \ 1,y) = x * T(1 / x,y). [hyper(551,a,2688,a)]. 2700 (x * T(1 / x,y)) \ (((x \ 1) \ 1) * (T(x \ 1,y) * z)) = L(z,T(x \ 1,y),(x \ 1) \ 1). [para(2688(a,1),528(a,1,1))]. 2702 T(x,R(y \ 1,(y \ 1) \ 1,x)) = (y * ((x * (y \ 1)) / x)) * x. [hyper(189,a,1304,a,b,2696,a)]. 2703 T(x * T(y,y \ 1),y \ 1) = R((y \ 1) \ x,1 / y,y). [para(2518(a,1),2697(a,1,1))]. 2704 T(x,R((y \ x) \ 1,((y \ x) \ 1) \ 1,x)) = K(x,y / x) * x. [para(1321(a,1),2702(a,2,1))]. 2705 T(x,R((y \ x) \ 1,((y \ x) \ 1) \ 1,x)) != z | x * K(x,y / x) = z. [para(2704(a,2),2654(a,1))]. 2706 ((1 / (1 / x)) \ y) / y = 1 / (1 / ((x \ y) / y)). [hyper(2553,a,2105,a(flip))]. 2707 1 / (1 / (((x \ 1) \ y) / y)) = ((1 / x) \ y) / y. [para(67(a,1),2706(a,1,1,1,2)),flip(a)]. 2708 L(K(x,x \ 1) * y,z,u) * K(x \ 1,x) = (x \ L(x * (y / x),z,u)) * x. [para(2512(a,1),2337(a,1,1,1))]. 2709 ((x / y) * (y / x)) * ((x / y) \ 1) = y / x. [hyper(189,a,1734,a(flip),b,2350,a)]. 2710 ((x \ y) / y) * (y / (x \ y)) = x / (((x \ y) / y) \ 1). [hyper(76,a,67,a(flip),b,2709,a),flip(a)]. 2711 x / (((x \ y) / y) \ 1) = ((x \ y) / y) * x. [para(67(a,1),2710(a,1,2)),flip(a)]. 2712 ((x \ y) / y) * R(((x \ y) / y) \ (((x \ y) / y) * x),z,u) = R(x,z,u) / (((x \ y) / y) \ 1). [para(2711(a,1),1222(a,1,2,1,2))]. 2713 R(T(x,x \ 1),y,z) \ R(x,y,z) = T(1 / x,R(x,y,z)) * x. [para(877(a,1),2689(a,2,1))]. 2715 R(T(x,x \ 1),y,z) \ R(x,y,z) != u | x * T(x \ 1,R(x,y,z)) = u. [para(2713(a,2),544(a,1))]. 2716 T(1 / (1 / (x / (y * x))),y * x) = R(T(1 / (1 / (1 / y)),y * x),y,x). [hyper(189,a,45,a,b,2589,a(flip))]. 2717 T(1 / (1 / (x / (y * x))),y * x) = (y * x) \ ((1 * K(y,y \ 1)) * x). [hyper(189,a,2614,a(flip),b,2716,a)]. 2718 T(1 / (1 / (x / (y * x))),y * x) = (y * x) \ (K(y,y \ 1) * x). [para(14(a,1),2717(a,2,2,1))]. 2719 (x * y) \ (K(x,x \ 1) * y) = 1 / (1 / ((x * y) \ y)). [hyper(2118,a,2718,a),flip(a)]. 2720 (x * y) * (1 / (1 / ((x * y) \ y))) = K(x,x \ 1) * y. [para(2719(a,1),17(a,1,2))]. 2721 K(x \ (y * x),(y * x) \ x) = K(y,y \ 1). [hyper(2551,a,2720,a)]. 2722 K(T(x,y),(x * y) \ y) = K(x,x \ 1). [para(35(a,2),2721(a,1,1))]. 2723 K(T(x,y),T(x,y) \ 1) = K(x,x \ 1). [hyper(189,a,1993,a,b,2722,a(flip)),flip(a)]. 2725 T(x,y) \ K(x,x \ 1) = 1 / T(x,y). [hyper(75,a,2723,a(flip),b,1535,a(flip))]. 2726 (T(x,y) \ 1) * K(x,x \ 1) = 1 / T(x,y). [para(2723(a,1),1541(a,1,2))]. 2727 x * (T(x,y) \ (1 / x)) = 1 / T(x,y). [hyper(1542,a,2725,a)]. 2728 (1 / x) \ (1 / T(x,y)) = T(x,y) \ x. [hyper(75,a,2725,a(flip),b,2629,a(flip))]. 2729 (1 / x) \ (1 / T(x,y)) = (x \ T(x,y)) \ 1. [para(2727(a,1),2604(a,1,2))]. 2730 K(x \ 1,x) * (1 / T(x,y)) = T(x,y) \ 1. [hyper(2511,a,2726,a)]. 2731 (1 / T(x,y)) * K(x \ 1,x) = T(x,y) \ 1. [hyper(2331,a,2726,a)]. 2732 (x \ T(x,y)) \ 1 = T(x,y) \ x. [hyper(189,a,2728,a(flip),b,2729,a(flip))]. 2733 (x \ 1) \ (T(x,y) \ 1) = T(x,y) \ x. [hyper(2066,a,2732,a)]. 2734 (R(x,y,z) \ R(T(x,u),y,z)) \ 1 = T(R(x,y,z),u) \ R(x,y,z). [para(45(a,2),2732(a,1,1,2))]. 2735 T(x / y,y) \ (x / y) = ((x / y) \ (y \ x)) \ 1. [para(115(a,1),2732(a,1,1,2)),flip(a)]. 2736 T(x,R(y,x,(y * x) \ x)) \ x = (x \ (x * K(x,y))) \ 1. [para(1407(a,1),2732(a,1,1,2)),flip(a)]. 2737 (x * T(x \ 1,y)) \ 1 = T(x \ 1,y) \ (x \ 1). [para(2638(a,1),2732(a,1,1))]. 2738 (x \ 1) * (T(x,y) \ x) = T(x,y) \ 1. [para(2733(a,1),17(a,1,2))]. 2739 K(T(x,y) \ 1,T(x,y)) = K(x \ 1,x). [hyper(1828,a,2730,a)]. 2740 x \ (x / T(x,y)) = T(x,y) \ 1. [hyper(189,a,2463,a(flip),b,2730,a(flip)),flip(a)]. 2741 x * (T(x,y) \ 1) = x / T(x,y). [para(2740(a,1),17(a,1,2))]. 2742 x / T(x,y) = T(x,y) \ x. [hyper(989,a,2741,a),flip(a)]. 2743 (1 / T(x,y)) * x = T(x,y) \ x. [hyper(1501,a,2742,a)]. 2744 K(x \ (x / ((y \ x) / T(x,y))),x) = T(x,y) \ x. [hyper(189,a,1632,a,b,2742,a(flip)),flip(a)]. 2745 (T(x,y) \ x) * T(x,y) = x. [para(2742(a,1),19(a,1,1))]. 2746 (T(x,y) \ x) \ x = T(x,y). [para(2742(a,1),69(a,1,1))]. 2748 (T(x,y) \ x) * x = x * (T(x,y) \ x). [para(2742(a,1),1507(a,1,1))]. 2749 L(x,T(x,y) \ x,x) = x. [hyper(189,a,1874,a,b,2745,a(flip)),flip(a)]. 2751 (x * y) * T(K(y,x),x) = y * x. [para(2749(a,1),1873(a,1,2)),flip(a)]. 2752 T(K(x,y),y) = K(x,y). [hyper(215,a,2751,a),flip(a)]. 2753 T(x,K(y,x)) = x. [hyper(38,a,2752,a)]. 2754 K(x,y) * y = y * K(x,y). [para(2752(a,1),113(a,1,2)),flip(a)]. 2755 (x * K(y,x)) / x = K(y,x). [para(2752(a,1),143(a,1,1,2))]. 2757 (x * K(y,x)) / x != z | K(y,x) = z. [para(2752(a,1),250(a,1,1,2)),flip(b)]. 2758 L(K(x,y),z,u) * y = y * L(K(x,y),z,u). [para(2752(a,1),159(a,1,2,1)),flip(a)]. 2759 T(x,y) * K(z,x) = K(z,x) * T(x,y). [para(2753(a,1),158(a,1,2,1)),flip(a)]. 2760 K(x,y) * T(y,z) != u | T(y,z) * K(x,y) = u. [para(2753(a,1),302(a,1,2,1))]. 2761 T(x,y * T(y \ 1,x)) = x. [para(886(a,1),2753(a,1,2))]. 2762 T(x,y \ T(y,x)) = x. [para(890(a,1),2753(a,1,2))]. 2763 T(x,x \ ((y * x) / y)) = x. [para(1472(a,1),2753(a,1,2))]. 2764 x * ((K(x,y) \ y) * K(x,y)) = (y * x) * K(x,y). [para(2753(a,1),1970(a,1,1,1)),flip(a)]. 2765 (x * K(y,x)) * (x \ T(x,z)) = K(y,x) * T(x,z). [para(2753(a,1),2069(a,1,2,1)),flip(a)]. 2766 T(x \ T(x,y),y) = x \ T(x,y). [hyper(38,a,2762,a)]. 2767 (x \ T(x,y)) * y = y * (x \ T(x,y)). [para(2762(a,1),113(a,1,2))]. 2768 (x \ T(x,y)) * T(y,z) != u | T(y,z) * (x \ T(x,y)) = u. [para(2762(a,1),302(a,1,2,1))]. 2769 R(x,K(y,z),z) * (z * K(y,z)) = (x * K(y,z)) * z. [para(2754(a,1),110(a,1,2))]. 2770 (x * y) \ ((x * K(z,x)) * y) = R(T(K(z,x),x * y),x,y). [para(2754(a,1),507(a,1,2,1))]. 2771 L((T(x,y) * (x \ y)) / y,y,x) = K(T(x,y),y). [hyper(189,a,986,a,b,2755,a(flip)),flip(a)]. 2772 T(x * T(x \ 1,y),y) = x * T(x \ 1,y). [hyper(38,a,2761,a)]. 2773 ((x * y) / x) / y = y \ ((x * y) / x). [para(2763(a,1),174(a,1,2))]. 2774 K((x * y) \ y,T(x,y)) = K(x \ 1,x). [hyper(189,a,2620,a(flip),b,2739,a(flip)),flip(a)]. 2775 K(x \ 1,x) / T(x,y) = T(x,y) \ 1. [hyper(76,a,2739,a(flip),b,165,a(flip))]. 2776 T(x,y) * K(x \ 1,x) = T(1 / (1 / x),y). [para(2739(a,1),2099(a,1,2))]. 2777 L(x,K(y \ 1,y),T(T(y,z),u)) = x. [para(2739(a,1),2605(a,1,2))]. 2778 (x * T(y,z)) / T(T(y,y \ 1),z) = x * K(y \ 1,y). [para(2739(a,1),2318(a,2,2))]. 2779 R(T(x,y),x \ 1,x) * (((x \ 1) * x) * z) = ((x \ T(x,y)) * x) * z. [para(2777(a,1),2139(a,1,2)),flip(a)]. 2780 (x * (T(x,y) \ x)) \ ((T(x,y) \ x) * z) = L(x \ z,x,T(x,y) \ x). [para(2748(a,1),104(a,2,1)),flip(a)]. 2781 T(K(x,y),T(y,z)) = K(x,y). [hyper(148,a,2759,a)]. 2782 K(K(x,y),T(y,z)) = 1. [hyper(39,a,2781,a)]. 2783 K(x \ T(x,y),T(y,z)) = 1. [para(890(a,1),2782(a,1,1))]. 2784 T(x \ T(x,y),T(y,z)) = x \ T(x,y). [hyper(40,a,2783,a)]. 2785 x * (T(x,y) \ (y * (x \ T(x,y)))) = L(y,x \ T(x,y),x). [para(2767(a,1),1010(a,1,2,2))]. 2786 (1 / x) * ((y * x) / y) = x \ ((y * x) / y). [hyper(189,a,1110,a,b,2773,a(flip)),flip(a)]. 2787 x * (((y * x) / y) / x) = (y * x) / y. [para(2773(a,2),17(a,1,2))]. 2788 R(x,y,z) \ (((u / x) * R(x,y,z)) / (u / x)) = R(u / (u / x),y,z) / R(x,y,z). [para(678(a,1),2773(a,1,1)),flip(a)]. 2790 K((x * y) \ y,y \ (x * y)) = K(x \ 1,x). [para(35(a,1),2774(a,1,2))]. 2792 (x \ 1) * (x * ((y * (x \ 1)) / y)) = (y * (x \ 1)) / y. [para(1111(a,1),2787(a,1,2))]. 2793 x * ((1 / T(x,y)) * K(x \ 1,x)) = T(x,y) \ x. [para(2731(a,2),987(a,1,2))]. 2794 T(x,L(K(y,x),z,u)) = x. [hyper(148,a,2758,a)]. 2795 x * ((y \ (x \ y)) * y) = y * (x * T(x \ 1,y)). [para(2772(a,1),1158(a,1,2)),flip(a)]. 2796 x * (T(x,y) / x) = T(x,y). [hyper(21,a,2504,a,b,2776,a),flip(a)]. 2798 T(x,y) / x = x \ T(x,y). [hyper(80,a,2796,a),flip(a)]. 2799 (x \ T(x,y)) * x = T(x,y). [para(2796(a,1),70(a,1,1,2))]. 2800 x \ T(x,R(y,y \ 1,x)) = y \ ((x * y) / x). [hyper(1300,a,2798,a),flip(a)]. 2801 (1 / x) * T((1 / x) \ 1,y) = x \ T(x,y). [hyper(1226,a,2798,a)]. 2802 (1 / x) * T(x,y) = x \ T(x,y). [hyper(189,a,793,a,b,2798,a(flip)),flip(a)]. 2803 (x \ T(x,y)) * x != z | T(x,y) = z. [para(2798(a,1),200(a,1,1)),flip(b)]. 2804 R(x \ T(x,y),x,z) = (T(x,y) * z) / (x * z). [para(2798(a,1),111(a,1,1))]. 2805 R((x / y) \ T(x / y,z),x / y,y) = (T(x / y,z) * y) / x. [para(2798(a,1),391(a,1,1))]. 2806 R((1 / x) * ((y * x) / y),x,x \ y) = (1 / x) * ((y \ T(y,x)) * x). [para(2798(a,1),1227(a,2,2,1))]. 2807 (x \ T(x,y)) / (y \ 1) = y * (T(x,y) / x). [para(2798(a,1),1865(a,1,1))]. 2808 (x * (y \ T(y,x))) \ (x * z) = x * ((x * (T(y,x) / y)) \ z). [para(2798(a,1),1965(a,1,1,2))]. 2809 T(x,x \ T(x,y)) = x. [hyper(227,a,2799,a)]. 2810 T(x,R(1 / y,y,x)) = T(x,x / (x * y)). [hyper(189,a,1403,a,b,2799,a(flip)),flip(a)]. 2811 T(x,y) \ ((x \ T(x,y)) * (x * z)) = L(z,x,x \ T(x,y)). [para(2799(a,1),31(a,2,1)),flip(a)]. 2812 (x \ ((x \ y) \ y)) * x = T(x,x \ y). [para(114(a,1),2799(a,1,1,2))]. 2813 T(x,y) * L(z,x,x \ T(x,y)) = (x \ T(x,y)) * (x * z). [para(2799(a,1),102(a,1,1))]. 2814 (T(x,y) * z) / (x * z) != u | R(x \ T(x,y),x,z) = u. [para(2799(a,1),385(a,1,1,1))]. 2815 K(x,x \ T(x,y)) = 1. [hyper(39,a,2809,a)]. 2816 T(x,y) * (x \ T(x,z)) = (x \ T(x,z)) * T(x,y). [para(2809(a,1),158(a,1,2,1)),flip(a)]. 2817 T(x,K(y \ (y / (x \ 1)),y)) = x. [para(890(a,2),2809(a,1,2))]. 2818 K(x,T(x,y) / x) = 1. [para(2798(a,2),2815(a,1,2))]. 2819 T(1 / x,T(x,y)) = x \ 1. [hyper(75,a,2818,a(flip),b,1064,a),flip(a)]. 2820 L(x \ 1,x,y \ ((x * y) / x)) = x \ 1. [hyper(189,a,1302,a(flip),b,2819,a(flip)),flip(a)]. 2821 T(x \ 1,T(x,y)) = T(x \ 1,x). [para(2819(a,1),161(a,1,1)),flip(a)]. 2822 T(x / (y * x),T(y,z)) = R(y \ 1,y,x). [para(2819(a,1),288(a,2,1))]. 2823 (((x * y) / x) \ y) \ y = (x * y) / x. [hyper(916,a,2817,a)]. 2824 K(T(x,y) \ (T(x,y) / T(x,z)),T(x,y)) = T(x * T(x \ 1,x),z). [para(2821(a,1),1374(a,1,1,2)),flip(a)]. 2826 (((x * y) / x) \ y) * ((x * y) / x) = y. [para(2823(a,1),17(a,1,2))]. 2827 (((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1)) \ (x \ 1) = (R(x,y,z) * (x \ 1)) / R(x,y,z). [para(867(a,1),2823(a,1,1,1,1))]. 2828 (((L(x,y,y \ 1) * y) / y) \ ((1 / y) * (x * y))) * ((y * ((1 / y) * (x * y))) / y) = (1 / y) * (x * y). [para(2382(a,1),2826(a,1,1,1,1))]. 2829 T(x,R(y \ 1,y,x)) = T(x,x / (x * y)). [hyper(189,a,2692,a(flip),b,2810,a(flip)),flip(a)]. 2832 L(x \ 1,x,T(y,x) \ y) = x \ 1. [para(143(a,1),2820(a,1,3,2))]. 2833 (x * y) * ((((x * y) \ y) \ 1) \ 1) = K(x \ 1,x) * y. [para(2790(a,1),2624(a,1,1)),flip(a)]. 2834 (x \ T(x,y)) / (y \ 1) = y * (x \ T(x,y)). [para(2798(a,1),2807(a,2,2))]. 2835 (x * (y \ T(y,x))) * (x \ 1) = y \ T(y,x). [para(2834(a,1),19(a,1,1))]. 2836 R(x,y,z) \ T(R(x,y,z),R(x \ 1,(x \ 1) \ 1,R(x,y,z))) = (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)). [para(867(a,1),2800(a,2,2,1))]. 2837 T(x,y \ ((x * y) / x)) = x. [para(2800(a,1),2809(a,1,2))]. 2838 T(x,T(y,x) \ y) = x. [para(143(a,1),2837(a,1,2,2))]. 2839 T(T(x,y) \ x,y) = T(x,y) \ x. [hyper(38,a,2838,a)]. 2840 (T(x,y) \ x) * y = y * (T(x,y) \ x). [para(2838(a,1),113(a,1,2))]. 2842 K(K(x,y),T(z,y) \ z) = 1. [para(2839(a,1),1955(a,1,2))]. 2843 K(x \ T(x,y),T(z,y) \ z) = 1. [para(890(a,1),2842(a,1,1))]. 2844 1 / (x \ T(x,y)) = (x \ T(x,y)) \ 1. [hyper(75,a,2843,a(flip),b,2000,a),flip(a)]. 2845 T(x,R(T(y,x),T(y,x) \ 1,x)) = x * (T(y,x) \ y). [hyper(189,a,1299,a,b,2840,a(flip)),flip(a)]. 2846 (x * ((x * (T(y,x) \ y)) \ x)) \ (x * x) = (T(y,x) \ y) * x. [para(2840(a,1),1702(a,1,1,2,1))]. 2847 1 / (x \ T(x,y)) = T(x,y) \ x. [hyper(189,a,2732,a(flip),b,2844,a)]. 2848 x * ((T(x,y) \ x) \ 1) = T(x,y). [para(2847(a,1),132(a,1,2,1))]. 2849 T(x,R(y,y \ 1,x)) \ x = 1 / (y \ ((x * y) / x)). [para(2800(a,1),2847(a,1,2)),flip(a)]. 2850 ((x / y) \ (y \ x)) \ 1 = (y \ x) \ (x / y). [para(115(a,1),2735(a,1,1)),flip(a)]. 2851 (x \ (x * y)) \ ((x * y) / x) = (((x * y) / x) \ y) \ 1. [para(16(a,1),2850(a,1,1,2)),flip(a)]. 2852 T(L(x \ 1,x,y) \ 1,y) \ (L(x \ 1,x,y) \ 1) = K(x,y) \ 1. [para(906(a,2),2737(a,1,1)),flip(a)]. 2853 T((x \ y) \ 1,z) \ ((x \ y) \ 1) = (x \ (y * T(y \ x,z))) \ 1. [para(1071(a,1),2737(a,1,1)),flip(a)]. 2854 T(x \ 1,T(x,y) \ x) = x \ 1. [para(2744(a,1),1842(a,1,2))]. 2855 R(K(x \ (x / ((y \ x) / T(x,y))),x),x \ 1,x) = ((1 / x) * (T(x,y) \ x)) * x. [para(2744(a,1),2277(a,1,1,2)),flip(a)]. 2856 T(T(x,y) \ x,x \ 1) = T(x,y) \ x. [hyper(38,a,2854,a)]. 2857 (K(x,y) \ y) * K(x,y) = y. [hyper(20,a,95,a(flip),b,2764,a)]. 2858 x / K(y,x) = K(y,x) \ x. [hyper(88,a,2857,a)]. 2859 R(K(x,y) \ y,K(x,y),z) = (y * z) / (K(x,y) * z). [para(2857(a,1),33(a,2,1,1))]. 2862 K(x,y) * (z * T(z \ L((y \ 1) \ z,y \ 1,y * K(x,y)),u)) = (K(x,y) * T(y,u)) * z. [para(2765(a,1),2229(a,2,1))]. 2863 (x * (1 / T(x,y))) * K(x \ 1,x) = T(x,y) \ x. [hyper(2354,a,2793,a)]. 2864 (x \ T(x,y)) * T(x,z) = T(x,y) * (x \ T(x,z)). [hyper(1061,a,2816,a),flip(a)]. 2865 (x \ 1) * (x * (1 / T(x,y))) = (1 / x) * (T(x,y) \ x). [para(2863(a,1),2496(a,1,2)),flip(a)]. 2866 (T(x,y) * T(x,z)) / ((x \ T(x,y)) * T(x,z)) = x. [para(2864(a,2),976(a,1,2))]. 2867 R(x,x \ T(x,y),T(x,z)) = x. [hyper(588,a,2866,a)]. 2868 L(x,x \ T(x,y),x) = x. [para(2867(a,1),1056(a,1,1))]. 2869 (x * T(y,z)) / T((y \ 1) \ 1,z) = x * K(y \ 1,y). [para(114(a,1),2778(a,1,2,1))]. 2872 (((x * y) / x) \ y) \ 1 = y \ ((x * y) / x). [para(16(a,1),2851(a,1,1)),flip(a)]. 2873 1 / (x \ ((y * x) / y)) = ((y * x) / y) \ x. [para(2872(a,1),67(a,1,2))]. 2874 T(x,R(y,y \ 1,x)) \ x = ((x * y) / x) \ y. [hyper(189,a,2849,a,b,2873,a(flip)),flip(a)]. 2875 T(x,R(y,y \ 1,x)) \ 1 = x \ (((x * y) / x) \ y). [hyper(75,a,2874,a(flip),b,987,a),flip(a)]. 2876 T(x,R(T(y,x),T(y,x) \ 1,x)) \ x = y \ T(y,x). [para(143(a,1),2874(a,2,1))]. 2877 T(x,x \ (((x * y) / x) \ y)) = T(x,x \ 1). [para(2875(a,1),2528(a,1,2))]. 2878 T(x,x \ (y \ T(y,x))) = T(x,x \ 1). [para(143(a,1),2877(a,1,2,2,1))]. 2879 T(x,x \ ((((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)))) = T(x,x \ 1). [para(900(a,1),2878(a,1,2,2,2))]. 2880 1 / T(x,R(T(y,x),T(y,x) \ 1,x)) = (y \ T(y,x)) / x. [hyper(76,a,2876,a(flip),b,2743,a),flip(a)]. 2881 (x * (T(y,x) \ y)) \ x = y \ T(y,x). [para(2845(a,1),2876(a,1,1))]. 2882 x / (y \ T(y,x)) = x * (T(y,x) \ y). [para(2881(a,1),67(a,1,2))]. 2883 x / ((((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x))) = x * (T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)). [para(900(a,1),2882(a,1,2,2))]. 2884 L((1 / T(x,y)) * x,x \ 1,x) = ((1 / x) * (T(x,y) \ x)) * x. [para(2865(a,1),1907(a,1,1)),flip(a)]. 2885 (x * K(y \ 1,y)) * T((y \ 1) \ 1,z) = x * T(y,z). [para(2869(a,1),19(a,1,1))]. 2886 T(x,R(y,x,(y * x) \ x)) \ x = K(x,y) \ 1. [para(16(a,1),2736(a,2,1))]. 2888 L(x * y,x \ T(x,z),x) = x * L(y,x,x \ T(x,z)). [para(2811(a,1),1010(a,1,2)),flip(a)]. 2889 x * L(x \ y,x,x \ T(x,z)) = L(y,x \ T(x,z),x). [para(17(a,1),2888(a,1,1)),flip(a)]. 2890 T(x * L(x \ ((y * z) / y),x,x \ T(x,y)),y) = (x \ T(x,y)) * (x * (T(x,y) \ z)). [hyper(189,a,1921,a,b,2813,a(flip)),flip(a)]. 2891 1 / (x * (T(y,x) \ y)) = (y \ T(y,x)) / x. [para(2845(a,1),2880(a,1,2))]. 2892 1 / (x * (T(y \ 1,x) \ (y \ 1))) = (y * T(y \ 1,x)) / x. [para(2638(a,1),2891(a,2,1))]. 2893 (x * (y \ T(y,x))) \ (x * z) = x * ((x * (y \ T(y,x))) \ z). [para(2798(a,1),2808(a,2,2,1,2))]. 2894 (x * ((x * (T(y,x) \ y)) \ x)) \ (x * x) = x * (T(y,x) \ y). [hyper(189,a,2840,a(flip),b,2846,a)]. 2896 (x * (y \ T(y,x))) \ (x * x) = x * (T(y,x) \ y). [para(2881(a,1),2894(a,1,1,2))]. 2897 (x * (y \ T(y,x))) \ x = T(y,x) \ y. [hyper(20,a,2893,a(flip),b,2896,a(flip)),flip(a)]. 2898 R((x / y) \ T(x / y,z),x / y,y) = (y * T(y \ x,z)) / x. [para(323(a,1),2805(a,2,1))]. 2899 ((1 / x) * (T(x,y) \ x)) * x = L(T(x,y) \ x,x \ 1,x). [para(2743(a,1),2884(a,1,1)),flip(a)]. 2900 (R(x,y,z) \ R(T(x,u),y,z)) \ 1 = R(T(x,u),y,z) \ R(x,y,z). [para(45(a,2),2734(a,2,1))]. 2901 K(T(1 / T(x,y),T(x,z)),T(x,z)) = T(x * T(x \ 1,x),y). [para(1022(a,1),2824(a,1,1))]. 2902 K(T(1 / T(x,y),T(x,z)),T(x,z)) = T((x \ 1) * x,y). [para(113(a,1),2901(a,2,1))]. 2903 K(T(1 / T(x,y),T(x,z)),T(x,z)) = K(x \ 1,x). [hyper(189,a,2476,a(flip),b,2902,a)]. 2905 T(1 / T(x,y),T(x,z)) = K(x \ 1,x) / T(x,y). [para(2903(a,1),1096(a,1,1)),flip(a)]. 2906 T(1 / T(x,y),T(x,z)) = T(x,y) \ 1. [hyper(189,a,2775,a(flip),b,2905,a)]. 2909 K(T(x,y) \ 1,T(x,z)) = K(x \ 1,x). [para(2906(a,1),2903(a,1,1))]. 2911 K(x \ 1,T(x,y)) = K(x \ 1,x). [para(112(a,1),2909(a,1,1,1))]. 2916 R(x \ T(x,y),K(x \ 1,x),z) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,T(x,y)) * z. [para(2911(a,1),816(a,1,1,2))]. 2917 L(x \ 1,x,K(y,x) \ 1) = x \ 1. [para(2852(a,1),2832(a,1,3))]. 2918 T(x,K(y,x) \ 1) = x. [para(2852(a,1),2838(a,1,2))]. 2919 (K(x,y) \ 1) * y = y * (K(x,y) \ 1). [para(2918(a,1),113(a,1,2))]. 2920 (x * (K(y,x) \ 1)) \ (K(y,x) \ 1) = L(x \ 1,x,K(y,x) \ 1). [para(2919(a,1),140(a,2,1)),flip(a)]. 2921 (x * (K(y,x) \ 1)) \ (K(y,x) \ 1) = x \ 1. [hyper(189,a,2917,a(flip),b,2920,a)]. 2923 R(T(x,x \ 1),y,z) \ R(x,y,z) = a(R(x,y,z),1 / x,x) \ 1. [para(742(a,1),2900(a,1,1)),flip(a)]. 2924 T(T(x,x \ 1),y) * (((x \ 1) * x) * z) = ((x \ T(x,y)) * x) * z. [para(1138(a,1),2779(a,1,1))]. 2925 T(T(x,x \ 1),y) * (K(x \ 1,x) * z) = ((x \ T(x,y)) * x) * z. [para(165(a,2),2924(a,1,2,1))]. 2926 R((1 / x) * ((y * x) / y),x,x \ y) = (1 / x) * (x * (y \ T(y,x))). [para(2767(a,1),2806(a,2,2))]. 2927 R((1 / x) * ((y * x) / y),x,x \ y) = L(y \ T(y,x),x,1 / x). [hyper(189,a,169,a(flip),b,2926,a)]. 2928 R(x \ ((y * x) / y),x,x \ y) = L(y \ T(y,x),x,1 / x). [para(2786(a,1),2927(a,1,1))]. 2929 T(T(x,y) / (y * (y \ x)),y) = L(x \ T(x,y),y,1 / y). [hyper(189,a,1034,a(flip),b,2928,a(flip)),flip(a)]. 2930 L(x \ T(x,y),y,1 / y) = T(T(x,y) / x,y). [para(17(a,1),2929(a,1,1,2)),flip(a)]. 2931 L(x \ T(x,y),y,1 / y) = T(x \ T(x,y),y). [para(2798(a,1),2930(a,2,1))]. 2932 L(x \ T(x,y),y,1 / y) = x \ T(x,y). [hyper(189,a,2766,a(flip),b,2931,a)]. 2933 (x \ T(x,y)) / (y * (x \ T(x,y))) = 1 / y. [hyper(76,a,2932,a(flip),b,169,a)]. 2934 R(1 / x,x,y \ T(y,x)) = 1 / x. [hyper(314,a,2933,a)]. 2935 R(1 / x,x,y * T(y \ 1,x)) = 1 / x. [para(765(a,1),2934(a,1,3))]. 2936 R(1 / x,x,K(y,x)) = 1 / x. [para(903(a,2),2935(a,1,3))]. 2937 K(x,y) / (y * K(x,y)) = 1 / y. [hyper(610,a,2936,a)]. 2938 (1 / x) \ K(y,x) = x * K(y,x). [para(2936(a,1),290(a,1,1))]. 2939 (x \ 1) * K(y,x \ 1) = x \ K(y,x \ 1). [para(67(a,1),2938(a,1,1)),flip(a)]. 2940 T(x,x \ K(y,x)) = T(x,x \ 1). [para(2669(a,1),2879(a,1,2,2))]. 2941 K(x,y) / T(y,y \ 1) = y \ K(x,y). [para(2940(a,1),174(a,1,2))]. 2942 (x \ K(y,x)) * K(x,x \ 1) = K(y,x) / x. [para(2941(a,1),2262(a,1,1))]. 2943 K(x,y) * K(y,y \ 1) = y * (K(x,y) / y). [para(2942(a,1),2035(a,1,2)),flip(a)]. 2944 (x \ 1) * (x * (K(y,x) / x)) = (1 / x) * K(y,x). [para(2943(a,1),2510(a,1,2))]. 2945 L(K(x,y),y \ 1,y) / y = (1 / y) * K(x,y). [hyper(189,a,1909,a(flip),b,2944,a(flip)),flip(a)]. 2946 K(x \ 1,x) * R(y * T(x,x \ 1),z,u) = (x \ R(x * y,z,u)) * x. [para(2500(a,1),2451(a,1,2,1))]. 2947 R((x \ (1 / (1 / y))) * x,1 / y,(1 / y) \ 1) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). [hyper(189,a,373,a,b,2548,a),flip(a)]. 2948 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(x * (1 / (1 / (x \ 1))),y,z). [para(2387(a,1),2557(a,1,2))]. 2949 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(x * (1 / x),y,z). [para(67(a,1),2948(a,2,1,2,2))]. 2950 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(K(x,x \ 1),y,z). [para(1535(a,2),2949(a,2,1))]. 2951 ((x \ (x / (y \ 1))) * z) * K(y \ 1,y) = (1 / ((x \ (x / (1 / y))) \ 1)) * z. [para(2298(a,1),2668(a,2,1,2))]. 2952 K(x \ 1,x) * L(K(x,x \ 1) * y,z,u) = (x \ L(x * (y / x),z,u)) * x. [hyper(2477,a,2708,a)]. 2953 ((x \ (x / (y \ 1))) * z) * K(y \ 1,y) = (x \ (x / (1 / y))) * z. [hyper(189,a,126,a(flip),b,2951,a)]. 2955 K(x \ 1,x) * L(y * K(x,x \ 1),z,u) = (x \ L(x * (y / x),z,u)) * x. [para(2502(a,1),2952(a,1,2,1))]. 2956 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = R(1,y,z). [para(145(a,1),2694(a,2,1))]. 2957 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = 1. [hyper(189,a,268,a(flip),b,2956,a)]. 2960 ((x \ R(x,y,z)) \ (x \ 1)) * (x \ R(x,y,z)) = (x \ 1) * 1. [para(2957(a,1),213(a,1,2)),flip(a)]. 2961 (x \ 1) / (x \ R(x,y,z)) = (x \ R(x,y,z)) \ (x \ 1). [hyper(76,a,15,a(flip),b,2960,a)]. 2962 (x \ R(x,y,z)) \ (x \ 1) = R(x,y,z) \ 1. [hyper(189,a,2227,a(flip),b,2961,a(flip))]. 2963 (x \ 1) \ (R(x,y,z) \ 1) = (x \ R(x,y,z)) \ 1. [hyper(75,a,2962,a(flip),b,1937,a)]. 2964 ((1 / x) \ R(1 / x,y,z)) \ x = R(1 / x,y,z) \ 1. [para(69(a,1),2962(a,1,2))]. 2965 (x * R(x \ 1,y,z)) \ x = R(1 / x,y,z) \ 1. [para(857(a,1),2964(a,1,1))]. 2966 R(1 / (1 / x),y,z) \ 1 = (R(x,y,z) / x) \ (1 / x). [para(915(a,1),2965(a,1,1)),flip(a)]. 2967 R(K(x \ (x / ((y \ x) / T(x,y))),x),x \ 1,x) = L(T(x,y) \ x,x \ 1,x). [hyper(189,a,2899,a(flip),b,2855,a)]. 2968 R(T(x,y) \ x,x \ 1,x) = L(T(x,y) \ x,x \ 1,x). [para(2744(a,1),2967(a,1,1))]. 2969 R(x / (x / y),z,u) / R(y,z,u) = R(y,z,u) \ R(x / (x / y),z,u). [para(678(a,1),2788(a,1,2)),flip(a)]. 2970 R(x,y,z) \ R(1 / (1 / x),y,z) = x * T(x \ 1,R(x,y,z)). [hyper(189,a,1367,a(flip),b,2969,a(flip))]. 2971 T(L((x * y) / x,z \ T(z,x),z),x) = (z \ T(z,x)) * (z * (T(z,x) \ y)). [para(2889(a,1),2890(a,1,1))]. 2972 L(x \ (x * y),z \ T(z,x),z) = (z \ T(z,x)) * (z * (T(z,x) \ y)). [hyper(674,a,2971,a)]. 2973 (x \ T(x,y)) * (x * (T(x,y) \ z)) = L(z,x \ T(x,y),x). [para(16(a,1),2972(a,1,1)),flip(a)]. 2974 (x \ T(x,y)) \ x = x * (T(x,y) \ x). [hyper(75,a,2868,a(flip),b,2973,a)]. 2975 (x \ T(x,y)) * T(y,T(x,y)) = L(y,x \ T(x,y),x). [para(1008(a,1),2973(a,1,2))]. 2976 x * (T(x,R(y,x,(y * x) \ x)) \ x) = (x \ (x * K(x,y))) \ x. [para(1407(a,1),2974(a,1,1,2)),flip(a)]. 2977 x * (T(x,R(y,y \ 1,x)) \ x) = (y \ ((x * y) / x)) \ x. [para(2800(a,1),2974(a,1,1)),flip(a)]. 2978 T(x,T(y,x)) * (y \ T(y,x)) = L(x,y \ T(y,x),y). [hyper(2768,a,2975,a)]. 2979 (x \ ((y * x) / y)) \ y = y * (((y * x) / y) \ x). [para(2874(a,1),2977(a,1,2)),flip(a)]. 2980 x * (((x * T(y,x)) / x) \ T(y,x)) = (T(y,x) \ y) \ x. [para(143(a,1),2979(a,1,1,2)),flip(a)]. 2981 (T(x,y) \ x) \ y = y * (x \ T(x,y)). [para(143(a,1),2980(a,1,2,1)),flip(a)]. 2982 (T(x,y) \ x) * (y * (x \ T(x,y))) = y. [para(2981(a,1),17(a,1,2))]. 2983 x * (T(x,R(y,x,(y * x) \ x)) \ x) = K(x,y) \ x. [para(16(a,1),2976(a,2,1))]. 2985 x * (K(x,y) \ 1) = K(x,y) \ x. [para(2886(a,1),2983(a,1,2))]. 2987 K(T(x,y),T(x,y) \ 1) * (((1 / T(x,y)) \ 1) \ z) = T(1 / (1 / x),y) \ z. [para(1536(a,1),2406(a,1,1))]. 2989 K(x,x \ 1) * (((1 / T(x,y)) \ 1) \ z) = T(1 / (1 / x),y) \ z. [para(2723(a,1),2987(a,1,1))]. 2990 K(x,x \ 1) * (T(x,y) \ z) = T(1 / (1 / x),y) \ z. [para(69(a,1),2989(a,1,2,1))]. 2992 (T(x,y) \ z) * K(x,x \ 1) = T(1 / (1 / x),y) \ z. [hyper(2520,a,2990,a)]. 2994 (T(x \ 1,y) \ z) * K(x \ 1,x) = T(1 / (1 / (x \ 1)),y) \ z. [para(1538(a,1),2992(a,1,2))]. 2995 (T(x \ 1,y) \ z) * K(x \ 1,x) = T(1 / x,y) \ z. [para(67(a,1),2994(a,2,1,1,2))]. 2996 K(x \ 1,x) * (T(x \ 1,y) \ z) = T(1 / x,y) \ z. [hyper(2477,a,2995,a)]. 2997 T(1 / x,y) \ (T(x \ 1,y) * z) = K(x \ 1,x) * z. [para(16(a,1),2996(a,1,2)),flip(a)]. 2998 T(1 / x,y) * (K(x \ 1,x) * z) = T(x \ 1,y) * z. [para(2997(a,1),17(a,1,2))]. 2999 T(1 / x,y) * ((1 / x) \ z) = T(x \ 1,y) * ((x \ 1) \ z). [para(2376(a,1),2998(a,1,2))]. 3000 (1 / x) * (T(x \ 1,y) * ((x \ 1) \ z)) = T(1 / x,y) * z. [para(2999(a,1),974(a,1,2))]. 3001 T(x \ 1,y) * ((x \ 1) \ (K(x,x \ 1) * z)) = T(1 / x,y) * ((x \ 1) \ z). [para(2426(a,1),2999(a,1,2)),flip(a)]. 3002 T(x \ 1,y) * ((((x \ 1) \ 1) \ 1) \ z) = T(1 / x,y) * ((x \ 1) \ z). [para(2464(a,1),3001(a,1,2))]. 3003 T(x \ 1,y) * (T(x \ 1,(x \ 1) \ 1) \ z) = T(1 / x,y) * ((x \ 1) \ z). [para(114(a,2),3002(a,1,2,1))]. 3004 T(T(x,x \ 1),y) * (K(x \ 1,x) * z) = K(x \ 1,x) * (T(T(x,x \ 1),y) * z). [hyper(189,a,2465,a(flip),b,2458,a(flip)),flip(a)]. 3005 K(x \ 1,x) * (T(T(x,x \ 1),y) * z) = ((x \ T(x,y)) * x) * z. [hyper(189,a,2925,a(flip),b,3004,a(flip))]. 3006 T(x,x \ 1) * (((x \ T(x,y)) * x) * z) = x * (T(T(x,x \ 1),y) * z). [para(3005(a,1),2454(a,1,2))]. 3007 T(x,x \ 1) * (T(x,y) * z) = x * (T(T(x,x \ 1),y) * z). [para(2799(a,1),3006(a,1,2,1))]. 3008 T(x,x \ 1) * (T(x,y) * z) = x * (T((x \ 1) \ 1,y) * z). [para(114(a,1),3007(a,2,2,1,1))]. 3009 (1 / x) * (T(((1 / x) \ 1) \ 1,y) * z) = (x \ 1) * (T(1 / x,y) * z). [para(497(a,1),3008(a,1,1)),flip(a)]. 3010 (1 / x) * (T(x \ 1,y) * z) = (x \ 1) * (T(1 / x,y) * z). [para(69(a,1),3009(a,1,2,1,1,1))]. 3011 K(x \ 1,x) * (T(1 / x,y) * z) = T(x \ 1,y) * z. [hyper(20,a,2417,a,b,3010,a),flip(a)]. 3012 (T(1 / x,y) * z) / (T(1 / x,y) * ((x \ 1) \ z)) = x \ 1. [hyper(76,a,3000,a(flip),b,3010,a(flip))]. 3013 ((x \ 1) \ 1) * (T(x \ 1,y) * z) = x * (T(1 / x,y) * z). [para(3011(a,1),2455(a,1,2))]. 3014 (((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1)) \ (x \ 1) = (x \ R(x,y,z)) / R(x,y,z). [para(867(a,1),2827(a,2,1))]. 3015 (x * T(1 / x,y)) \ (x * (T(1 / x,y) * z)) = L(z,T(x \ 1,y),(x \ 1) \ 1). [para(3013(a,1),2700(a,1,2))]. 3016 L(x,T(y \ 1,z),(y \ 1) \ 1) != u | L(x,T(1 / y,z),y) = u. [para(3015(a,1),355(a,1))]. 3017 K(T(x / y,T(y,x)) \ 1,T(x / y,T(y,x))) = K(x \ y,T(x / y,T(y,x))). [para(1030(a,1),2623(a,2,1))]. 3018 K(T(x / y,T(y,x)) \ 1,T(x / y,T(y,x))) = K(x \ y,y \ x). [hyper(189,a,2008,a(flip),b,3017,a)]. 3019 K((x / y) \ 1,x / y) = K(x \ y,y \ x). [hyper(189,a,2909,a(flip),b,3018,a(flip)),flip(a)]. 3021 K(x / y,y / x) = K(y \ x,x \ y). [hyper(189,a,2342,a(flip),b,3019,a(flip)),flip(a)]. 3022 K(x / y,(x / y) \ 1) = K(y \ x,x \ y). [hyper(2132,a,3021,a)]. 3023 K(x \ y,y \ x) * (y / x) = ((y / x) \ 1) \ 1. [para(3022(a,1),1540(a,1,1))]. 3024 K(((x * y) * z) \ (y * z),R(T(x,y * z),y,z)) * ((y * z) / ((x * y) * z)) = (((y * z) / ((x * y) * z)) \ 1) \ 1. [para(507(a,1),3023(a,1,1,2))]. 3025 R(x,y,z) / (((x \ u) / u) \ 1) = ((x \ u) / u) * R(x,y,z). [para(16(a,1),2712(a,1,2,1)),flip(a)]. 3026 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(3025(a,1),901(a,1,1,2))]. 3027 R((x \ (x / (1 / y))) * x,y \ 1,y) = (x * ((y \ 1) * T((y \ 1) \ 1,x))) * y. [para(2953(a,1),2357(a,1,1))]. 3028 R((x \ (x / (1 / y))) * x,y \ 1,y) = (x * (y \ T(y,x))) * y. [para(770(a,1),3027(a,2,1,2))]. 3029 R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)) = ((x * y) * (1 / z)) / (y * (1 / z)). [para(2263(a,1),2269(a,1,2)),flip(a)]. 3030 R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)) != u | R(x,y,1 / z) = u. [para(3029(a,2),385(a,1))]. 3031 R((1 / x) * T((1 / x) \ 1,y),K(x \ 1,x),z) = (1 / x) * T((1 / x) \ 1,y). [para(2400(a,1),2401(a,2,2,1,1))]. 3032 R((1 / x) * T((1 / x) \ 1,y),K(x \ 1,x),z) = x \ T(x,y). [hyper(189,a,2801,a(flip),b,3031,a)]. 3034 R(x \ T(x,y),K(x \ 1,x),z) = x \ T(x,y). [para(2801(a,1),3032(a,1,1))]. 3035 (x \ T(x,y)) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,T(x,y)) * z. [para(3034(a,1),2916(a,1,1))]. 3036 (x \ T(x,y)) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,x) * z. [para(2911(a,1),3035(a,2,1))]. 3038 (x \ T(x,y)) * (K(x \ 1,x) * z) = ((x \ 1) * T(x,y)) * z. [para(3036(a,1),17(a,1,2))]. 3040 (x \ T(x,y)) * (z * K(x \ 1,x)) = ((x \ 1) * T(x,y)) * z. [para(2475(a,1),3038(a,1,2))]. 3041 L(L(x,y,1 / z),(1 / z) * y,K(z \ 1,z)) = ((z \ 1) * y) \ ((z \ 1) * (y * x)). [para(2378(a,1),2409(a,1,2)),flip(a)]. 3042 L(L(x,y,1 / z),(1 / z) * y,K(z \ 1,z)) != u | L(x,y,z \ 1) = u. [para(3041(a,2),355(a,1))]. 3043 (x * K(y,y \ 1)) \ ((x * z) * K(y,y \ 1)) = L(z,T(x,K(y,y \ 1)),K(y,y \ 1)). [para(2513(a,1),2515(a,1,2,1,1))]. 3044 (L(x,y,y \ 1) \ ((1 / y) * (x * y))) * ((y * ((1 / y) * (x * y))) / y) = (1 / y) * (x * y). [para(18(a,1),2828(a,1,1,1))]. 3046 x * ((y * ((1 / y) * (z * y))) / y) != (1 / y) * (z * y) | L(z,y,y \ 1) \ ((1 / y) * (z * y)) = x. [para(3044(a,1),23(a,1)),flip(a)]. 3047 T((x \ 1) * (x * ((y * z) / y)),y) = T(1 / x,y) * L(T(1 / x,y) \ z,x \ 1,x). [para(2560(a,1),2562(a,1,1))]. 3048 R(x,y,z) \ T(R(x,y,z),R(1 / x,x,R(x,y,z))) = (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)). [para(2696(a,1),2836(a,1,2))]. 3049 R(x,y,z) \ R(T(x,R(1 / x,x,R(x,y,z))),y,z) = (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)). [para(45(a,2),3048(a,1,2))]. 3050 (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) = R(x,y,z) \ R(T(x,x \ 1),y,z). [para(1749(a,1),3049(a,1,2,1)),flip(a)]. 3051 (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) = a(R(x,y,z),1 / x,x). [hyper(189,a,742,a(flip),b,3050,a)]. 3053 x * ((x \ R(x,y,z)) / R(x,y,z)) = a(R(x,y,z),1 / x,x). [hyper(2630,a,3051,a)]. 3054 x * L(x \ 1,R(x,y,z),1 / x) = a(R(x,y,z),1 / x,x). [para(1671(a,2),3053(a,1,2))]. 3055 R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = R(a(R(x,y,z),1 / x,x),y,z). [para(3054(a,1),2240(a,1,1)),flip(a)]. 3056 x * (T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)) = x / K(y,x). [para(2669(a,1),2883(a,1,2)),flip(a)]. 3057 x * (T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)) = K(y,x) \ x. [hyper(189,a,2858,a(flip),b,3056,a)]. 3058 x * (((x * y) \ (x * T(x \ (x * y),x))) \ 1) = x / K(y,x). [para(2853(a,1),3056(a,1,2))]. 3059 x * (((x * y) \ (x * T(y,x))) \ 1) = x / K(y,x). [para(16(a,1),3058(a,1,2,1,2,2,1))]. 3060 x * (((x * y) \ (y * x)) \ 1) = x / K(y,x). [para(113(a,1),3059(a,1,2,1,2))]. 3061 x * (K(y,x) \ 1) = x / K(y,x). [para(29(a,2),3060(a,1,2,1))]. 3062 x * (K(y,x) \ 1) = K(y,x) \ x. [hyper(189,a,2858,a(flip),b,3061,a)]. 3063 x \ (K(y,x) \ x) = K(y,x) \ 1. [hyper(75,a,2858,a(flip),b,3061,a)]. 3065 (K(x,y) \ 1) \ (K(x,y) \ y) = y. [hyper(75,a,3062,a(flip),b,2919,a)]. 3066 K(x,y) \ y != y * z | K(x,y) \ 1 = z. [para(3062(a,1),22(a,1))]. 3067 R(x,K(y,x) \ 1,z) \ ((K(y,x) \ x) * z) = (K(y,x) \ 1) * z. [para(3062(a,1),133(a,1,2,1))]. 3068 (K(x,y) \ y) \ (K(x,y) \ 1) = y \ 1. [para(3062(a,1),2921(a,1,1))]. 3069 (x * K(y,x)) \ x = K(y,x) \ 1. [hyper(75,a,3065,a(flip),b,656,a(flip))]. 3070 (K(x,y) \ 1) * T(y,z) = K(x,y) \ T(y,z). [para(3065(a,1),771(a,1,2,1))]. 3071 (K(x,y) \ y) * (y \ 1) = K(x,y) \ 1. [para(3068(a,1),17(a,1,2))]. 3072 R(K(x,y) \ y,y \ 1,y) = (K(x,y) \ 1) * ((y \ 1) \ 1). [para(3071(a,1),2271(a,1,1)),flip(a)]. 3073 K(x,y) \ T(y,y \ z) = (K(x,y) \ 1) * ((y \ z) \ z). [hyper(189,a,220,a(flip),b,3070,a(flip))]. 3074 (K(x,y) \ 1) * ((y \ z) \ z) = K(x,y) \ ((y \ z) \ z). [hyper(189,a,318,a(flip),b,3073,a(flip))]. 3075 R(K(x,y) \ y,y \ 1,y) = K(x,y) \ ((y \ 1) \ 1). [hyper(189,a,3074,a(flip),b,3072,a)]. 3076 x * (K(x,y) * (K(x,y) \ ((y \ 1) \ 1))) = (T(y,y \ 1) * x) * K(x,y). [para(3075(a,1),2026(a,1,2,2))]. 3077 (((x * y) \ x) * T(((x * y) \ x) \ 1,x)) / x = 1 / (K(y,x) \ x). [para(3057(a,1),2892(a,1,2)),flip(a)]. 3078 1 / (K(x,y) \ y) = K(x,y) / y. [para(903(a,2),3077(a,1,1)),flip(a)]. 3079 (K(x,y) / y) \ 1 = K(x,y) \ y. [para(3078(a,1),69(a,1,1))]. 3080 K(x,y) = (T(y,y \ 1) * x) \ (x * ((y \ 1) \ 1)). [hyper(432,a,3076,a),flip(a)]. 3081 K(x,(y \ 1) \ 1) = K(x,y). [hyper(189,a,527,a(flip),b,3080,a),flip(a)]. 3083 K(x,1 / y) = K(x,y \ 1). [para(69(a,1),3081(a,1,2,1)),flip(a)]. 3084 K(x,1 / (1 / y)) = K(x,y). [para(134(a,1),3081(a,1,2)),flip(a)]. 3085 (((x \ 1) \ 1) \ y) * ((x \ 1) \ 1) = y * K(((x \ 1) \ 1) \ y,x). [para(3081(a,1),213(a,1,2)),flip(a)]. 3086 ((x \ 1) \ 1) * K(y,(x \ 1) \ 1) = (x \ 1) \ K(y,x). [para(3081(a,1),2939(a,2,2))]. 3088 x * ((x \ R(x,y,z)) / R(x,y,z)) = K(R(x,y,z),x \ 1). [hyper(189,a,1327,a,b,3083,a(flip)),flip(a)]. 3089 (x * ((1 / (1 / x)) * y)) \ ((x * y) * (1 / (1 / x))) = K(x * y,x). [hyper(189,a,1116,a,b,3084,a(flip)),flip(a)]. 3090 K(x,((1 / y) \ z) / z) = K(x,((y \ 1) \ z) / z). [para(2707(a,1),3084(a,1,2))]. 3091 ((1 / x) \ y) \ (y * R(1 / (1 / x),x \ 1,(1 / x) \ y)) = K(y,((x \ 1) \ y) / y). [hyper(189,a,2593,a,b,3090,a(flip)),flip(a)]. 3092 a(R(x,y,z),1 / x,x) = K(R(x,y,z),x \ 1). [hyper(189,a,3053,a(flip),b,3088,a(flip)),flip(a)]. 3093 R(K(R(x,y,z),x \ 1),y,z) = K(R(x,y,z),R(x,y,z) \ 1). [para(3088(a,1),2152(a,1,1))]. 3094 R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = R(K(R(x,y,z),x \ 1),y,z). [para(3092(a,1),3055(a,2,1))]. 3095 K(((x \ 1) \ 1) \ y,x) = K(x \ y,x). [hyper(2549,a,3085,a),flip(a)]. 3096 K(x \ ((1 / x) \ y),x) = K(x \ ((x \ 1) \ y),x). [para(2435(a,1),3095(a,1,1))]. 3097 ((1 / x) \ y) \ ((1 / x) \ T(y,x)) = K(x \ ((x \ 1) \ y),x). [hyper(189,a,781,a,b,3096,a(flip)),flip(a)]. 3098 (x * (y * (1 / (1 / x)))) \ ((x * T(y,1 / (1 / x))) * (1 / (1 / x))) = K(x * T(y,1 / (1 / x)),x). [para(113(a,1),3089(a,1,1,2))]. 3099 R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = K(R(x,y,z),R(x,y,z) \ 1). [hyper(189,a,3093,a(flip),b,3094,a)]. 3100 (R(x,y,z) / x) \ (1 / x) = 1 / R(x,y,z). [hyper(20,a,1535,a(flip),b,3099,a)]. 3101 R(1 / (1 / x),y,z) \ 1 = 1 / R(x,y,z). [hyper(189,a,2966,a,b,3100,a(flip)),flip(a)]. 3103 1 / R(x \ 1,y,z) = R(1 / x,y,z) \ 1. [para(67(a,1),3101(a,1,1,1,2)),flip(a)]. 3104 (R(1 / x,y,z) \ 1) \ 1 = R(x \ 1,y,z). [para(3103(a,1),69(a,1,1))]. 3105 R((x \ 1) \ 1,y,z) = (R(x,y,z) \ 1) \ 1. [para(67(a,1),3104(a,1,1,1,1)),flip(a)]. 3107 R(T(x,x \ 1),y,z) = (R(x,y,z) \ 1) \ 1. [hyper(189,a,835,a,b,3105,a(flip)),flip(a)]. 3108 R(((x / y) \ 1) \ 1,y,z) * (y * z) = (y * z) * ((((y * z) \ (x * z)) \ 1) \ 1). [para(3105(a,2),2115(a,1,1))]. 3109 (x * y) * ((((x * y) \ (z * y)) \ 1) \ 1) = ((((z / x) \ 1) \ 1) * x) * y. [hyper(204,a,3108,a),flip(a)]. 3110 (x * y) * ((((x * y) \ (z * y)) \ 1) \ 1) = (x * (((x \ z) \ 1) \ 1)) * y. [para(2103(a,1),3109(a,2,1))]. 3111 ((R(x,y,z) \ 1) \ 1) \ ((x * y) * z) = ((x * y) * ((((x * y) \ y) \ 1) \ 1)) * z. [hyper(189,a,2578,a(flip),b,3110,a(flip)),flip(a)]. 3112 ((R(x,y,z) \ 1) \ 1) \ ((x * y) * z) = (K(x \ 1,x) * y) * z. [para(2833(a,1),3111(a,2,1))]. 3113 ((R(x,y,z) \ 1) \ 1) \ ((x * y) * z) != u * z | K(x \ 1,x) * y = u. [para(3112(a,2),23(a,1))]. 3114 (x * (y * (1 / (1 / x)))) \ ((x * T(y,x)) * (1 / (1 / x))) = K(x * T(y,1 / (1 / x)),x). [para(2674(a,1),3098(a,1,2,1,2))]. 3115 (x * (y * (1 / (1 / x)))) \ ((y * x) * (1 / (1 / x))) = K(x * T(y,1 / (1 / x)),x). [para(113(a,1),3114(a,1,2,1))]. 3116 (x * (y * (1 / (1 / x)))) \ ((y * x) * (1 / (1 / x))) = K(x * T(y,x),x). [para(2674(a,1),3115(a,2,1,2))]. 3117 (x * (y * (1 / (1 / x)))) \ ((y * x) * (1 / (1 / x))) = K(y * x,x). [para(113(a,1),3116(a,2,1))]. 3118 K(x * L(y,y \ 1,y),y) = K(x * y,y). [hyper(189,a,1929,a(flip),b,3117,a(flip)),flip(a)]. 3119 K(x * (1 / (1 / y)),y) = K(x * y,y). [para(472(a,1),3118(a,1,1,2))]. 3120 K((1 / (1 / x)) * (x \ y),x) = K((y / x) * x,x). [para(2691(a,2),3119(a,1,1))]. 3121 K((1 / (1 / x)) * (x \ y),x) = K(y,x). [para(19(a,1),3120(a,2,1))]. 3122 K(K(x \ 1,x) * y,x) = K(y,x). [para(2460(a,1),3121(a,1,1))]. 3123 K(x * (1 / y),y) = K(x * (y \ 1),y). [para(2446(a,1),3122(a,1,1)),flip(a)]. 3124 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(632(a,1),2695(a,1,1))]. 3125 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(632(a,1),3124(a,1,2,3))]. 3126 T(((x \ 1) \ 1) * T(y,x),T(x,x \ 1) \ 1) = T(x \ 1,x) \ R(y,x,x \ 1). [para(2603(a,1),3125(a,1,2)),flip(a)]. 3127 T(x * T(y,y \ 1),T(y,y \ 1) \ 1) = T(y \ 1,y) \ R(x,y,y \ 1). [para(2686(a,1),3126(a,1,1))]. 3128 T(x * T(y,y \ 1),T(y \ 1,y)) = T(y \ 1,y) \ R(x,y,y \ 1). [para(632(a,1),3127(a,1,2))]. 3129 T(x \ 1,x) \ R(T(x,y) \ 1,x,x \ 1) = T(T(x,y) \ x,T(x,x \ 1) \ 1). [para(2540(a,1),3127(a,1,1)),flip(a)]. 3130 T(x \ 1,x) \ R(y,x,x \ 1) = T(y * T(x,x \ 1),x \ 1). [hyper(189,a,2675,a(flip),b,3128,a(flip))]. 3131 T(x \ 1,x) \ R(y,x,x \ 1) = R((x \ 1) \ y,1 / x,x). [hyper(189,a,2703,a(flip),b,3130,a)]. 3132 T(x \ 1,x) \ R(y,x,x \ 1) = R((x \ 1) \ y,x \ 1,x). [hyper(189,a,2275,a(flip),b,3131,a)]. 3133 R((x \ 1) \ (T(x,y) \ 1),x \ 1,x) = T(T(x,y) \ x,T(x,x \ 1) \ 1). [hyper(189,a,3132,a(flip),b,3129,a(flip)),flip(a)]. 3134 R((x \ 1) \ (T(x,y) \ 1),x \ 1,x) = T(T(x,y) \ x,T(x \ 1,x)). [para(632(a,1),3133(a,2,2))]. 3135 R((x \ 1) \ (T(x,y) \ 1),x \ 1,x) = T(T(x,y) \ x,x \ 1). [hyper(189,a,2675,a(flip),b,3134,a)]. 3136 R((x \ 1) \ (T(x,y) \ 1),x \ 1,x) = T(x,y) \ x. [hyper(189,a,2856,a(flip),b,3135,a)]. 3137 R(T(x,y) \ x,x \ 1,x) = T(x,y) \ x. [para(2733(a,1),3136(a,1,1))]. 3138 L(T(x,y) \ x,x \ 1,x) = T(x,y) \ x. [hyper(189,a,2968,a(flip),b,3137,a(flip)),flip(a)]. 3139 L(T(x,y) \ x,T(x,y),y) = L((x * y) \ (y * x),x \ 1,x). [para(3138(a,1),717(a,1,1))]. 3140 L((x * y) \ (y * x),x \ 1,x) = (x * y) \ (y * x). [hyper(189,a,365,a(flip),b,3139,a(flip))]. 3141 K(x,y) = L((y * x) \ (x * y),y \ 1,y). [hyper(189,a,29,a,b,3140,a),flip(a)]. 3142 L(K(x,y),y \ 1,y) = K(x,y). [para(29(a,2),3141(a,2,1)),flip(a)]. 3143 (1 / x) * K(y,x) = K(y,x) / x. [para(3142(a,1),2945(a,1,1)),flip(a)]. 3145 R((x \ (1 / (1 / y))) * x,1 / y,y) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). [para(69(a,1),2947(a,1,1,3))]. 3146 R((x \ (1 / (1 / y))) * x,y \ 1,y) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). [para(2275(a,1),3145(a,1,1))]. 3147 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(19(a,1),3026(a,1,1,2))]. 3149 ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1) = K(x \ 1,R(x,y,z)). [para(868(a,1),3147(a,1,1)),flip(a)]. 3151 K(x \ 1,R(x,y,z)) \ (x \ 1) = (x \ R(x,y,z)) / R(x,y,z). [para(3149(a,1),3014(a,1,1))]. 3152 (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) = K(x \ 1,R(x,y,z)) \ 1. [hyper(75,a,3151,a(flip),b,2985,a)]. 3153 x * ((x \ R(x,y,z)) / R(x,y,z)) = K(x \ 1,R(x,y,z)) \ 1. [hyper(2630,a,3152,a)]. 3154 K(x \ 1,R(x,y,z)) \ 1 = K(R(x,y,z),x \ 1). [hyper(189,a,3088,a(flip),b,3153,a(flip))]. 3155 K(R(x,y,z),x \ 1) \ 1 = K(x \ 1,R(x,y,z)). [para(3154(a,1),2003(a,1,1))]. 3156 a(R(x,y,z),1 / x,x) \ 1 = K(x \ 1,R(x,y,z)). [para(3092(a,2),3155(a,1,1))]. 3157 R(T(x,x \ 1),y,z) \ R(x,y,z) = K(x \ 1,R(x,y,z)). [hyper(189,a,2923,a,b,3156,a(flip)),flip(a)]. 3158 x * T(x \ 1,R(x,y,z)) = K(x \ 1,R(x,y,z)). [hyper(2715,a,3157,a)]. 3159 R(x,y,z) \ R(1 / (1 / x),y,z) = K(x \ 1,R(x,y,z)). [hyper(189,a,2970,a,b,3158,a(flip)),flip(a)]. 3160 K(R(x,y,z) \ 1,R(x,y,z)) * (y * z) = (K(x \ 1,R(x,y,z)) * y) * z. [para(3158(a,1),2016(a,2,1,1))]. 3161 (R(1 / (1 / x),y,z) \ 1) \ (R(x,y,z) \ 1) = K(x \ 1,R(x,y,z)). [hyper(189,a,2178,a,b,3159,a(flip)),flip(a)]. 3162 (1 / R(x,y,z)) \ (R(x,y,z) \ 1) = K(x \ 1,R(x,y,z)). [para(3101(a,1),3161(a,1,1))]. 3163 K(R(x,y,z) \ 1,R(x,y,z)) = K(x \ 1,R(x,y,z)). [hyper(1201,a,3162,a)]. 3164 K(x \ 1,R(x,y,z)) != u | K(R(x,y,z) \ 1,R(x,y,z)) = u. [para(3162(a,1),1201(a,1))]. 3165 R(x,y,z) * (1 / R(x,y,z)) = K(x \ 1,R(x,y,z)) \ 1. [para(3163(a,1),1545(a,1,1)),flip(a)]. 3166 R(x,y,z) * (1 / R(x,y,z)) = K(R(x,y,z),x \ 1). [hyper(189,a,3154,a(flip),b,3165,a)]. 3167 T(R(x,y,z),R(x,y,z) \ 1) \ ((x * y) * z) = (K(x \ 1,R(x,y,z)) * y) * z. [hyper(189,a,2466,a,b,3160,a(flip)),flip(a)]. 3168 (K(x \ 1,R(x,y,z)) * y) * z = K(x \ 1,R(x,y,z)) * (y * z). [para(3163(a,1),3160(a,1,1)),flip(a)]. 3169 L(x,y,K(z \ 1,R(z,y,x))) = x. [hyper(346,a,3168,a)]. 3170 ((R(x,y,z) \ 1) \ 1) \ ((x * y) * z) = (K(x \ 1,R(x,y,z)) * y) * z. [hyper(189,a,523,a(flip),b,3167,a(flip)),flip(a)]. 3171 K(x \ 1,R(x,y,z)) * y = K(x \ 1,x) * y. [hyper(3113,a,3170,a),flip(a)]. 3172 K(x \ 1,R(x,y,z)) = K(x \ 1,x). [hyper(23,a,3171,a)]. 3174 K(R(x,y,z) \ 1,R(x,y,z)) = K(x \ 1,x). [hyper(3164,a,3172,a)]. 3176 (x \ R(x,y,z)) * K(x \ 1,x) = (x \ 1) * R(x,y,z). [para(3172(a,1),871(a,1,2))]. 3178 L(x,y,K(z \ 1,z)) = x. [para(3172(a,1),3169(a,1,3))]. 3179 L(x,y,1 / z) = L(x,y,z \ 1). [hyper(3042,a,3178,a),flip(a)]. 3181 (x * K(y,y \ 1)) \ z = x \ (K(y \ 1,y) * z). [hyper(189,a,2509,a(flip),b,3178,a(flip))]. 3182 (x * K(y \ 1,y)) \ K(y \ 1,y) = x \ 1. [hyper(189,a,2491,a(flip),b,3178,a(flip)),flip(a)]. 3183 (K(x \ 1,x) * y) \ (K(x \ 1,x) * z) = y \ z. [hyper(189,a,104,a(flip),b,3178,a(flip)),flip(a)]. 3184 (K(x \ 1,x) * y) * z = K(x \ 1,x) * (y * z). [para(3178(a,1),102(a,1,2))]. 3185 (K(x \ 1,x) * y) / z = K(x \ 1,x) * (y / z). [para(3178(a,1),398(a,1,2))]. 3186 L(x,y,K(z,z \ 1)) = x. [para(1536(a,1),3178(a,1,3))]. 3187 (x * K(y \ 1,y)) * z = K(y \ 1,y) * (x * z). [para(3178(a,1),2492(a,1,2))]. 3190 L(x,y,K(z,z \ 1)) = u \ (u * x). [hyper(189,a,16,a,b,3186,a)]. 3191 (x * K(y,y \ 1)) \ ((x * z) * K(y,y \ 1)) = z. [hyper(189,a,3043,a,b,3186,a(flip)),flip(a)]. 3192 (K(x,x \ 1) * y) \ (K(x,x \ 1) * z) = y \ z. [hyper(189,a,104,a(flip),b,3186,a(flip)),flip(a)]. 3193 (K(x,x \ 1) * y) * z = K(x,x \ 1) * (y * z). [para(3186(a,1),102(a,1,2))]. 3194 K(x,x \ 1) * (1 / y) = K(x,x \ 1) / y. [para(3186(a,1),311(a,1,2)),flip(a)]. 3195 (K(x,x \ 1) * y) / z = K(x,x \ 1) * (y / z). [para(3186(a,1),398(a,1,2))]. 3196 ((x \ 1) \ 1) / (y \ x) = K(x,x \ 1) * y. [para(3186(a,1),1558(a,1,2))]. 3197 K(x,x \ 1) * ((x \ 1) / y) = (1 / x) / y. [para(3186(a,1),1574(a,1,2)),flip(a)]. 3198 L(x,y,y \ 1) \ ((1 / y) * (x * y)) = L(K(x,y),y * x,y \ 1). [hyper(189,a,2386,a,b,3179,a(flip)),flip(a)]. 3199 L(x,y,(z \ 1) \ 1) = L(x,y,z). [para(67(a,1),3179(a,1,3)),flip(a)]. 3200 L(x,T(1 / y,z),y) = L(x,T(y \ 1,z),y). [hyper(3016,a,3199,a)]. 3201 L(x,y,K(z,z \ 1)) != u | u = x. [para(3190(a,2),237(a,1))]. 3205 (x * K(y,y \ 1)) \ 1 = x \ K(y \ 1,y). [para(2322(a,1),3182(a,1,1)),flip(a)]. 3206 K(x,x \ 1) / y != z | (1 / y) * K(x,x \ 1) = z. [para(3194(a,1),2520(a,1))]. 3207 ((x \ 1) \ 1) / (y \ x) = y * K(x,x \ 1). [hyper(189,a,2502,a(flip),b,3196,a)]. 3209 ((x \ 1) / y) * K(x,x \ 1) = (1 / x) / y. [hyper(2520,a,3197,a)]. 3210 L(T(1 / x,y) \ z,T(x \ 1,y),x) = (x * T(1 / x,y)) \ (x * z). [hyper(189,a,104,a(flip),b,3200,a(flip))]. 3211 (x / y) * K(x,x \ 1) = ((x \ 1) \ 1) / y. [para(69(a,1),3207(a,1,2)),flip(a)]. 3212 (1 / x) / (y \ (x \ 1)) = y * K(x,x \ 1). [hyper(456,a,3209,a),flip(a)]. 3213 (1 / (x \ 1)) / T(y,y \ T(x,x \ 1)) = (y \ ((x \ 1) \ 1)) * K(x \ 1,(x \ 1) \ 1). [para(540(a,1),3209(a,1,1)),flip(a)]. 3214 (x * K(y,y \ 1)) \ (1 / y) = x \ (y \ 1). [para(3212(a,1),69(a,1,1))]. 3216 (K(x,x \ 1) * y) \ z = y \ (K(x \ 1,x) * z). [para(2502(a,2),3181(a,1,1))]. 3217 x \ (K(y \ 1,y) * (x * ((1 / y) * z))) != u | L((y \ 1) * z,K(y,y \ 1),x) = u. [para(3181(a,1),2431(a,1))]. 3218 (K(x \ 1,x) * y) \ z = y \ (z * K(x,x \ 1)). [para(2481(a,1),3183(a,1,2))]. 3220 ((K(x \ 1,x) * (y * z)) * u) / (z * u) = R(K(x \ 1,x) * y,z,u). [para(3184(a,1),33(a,2,1,1)),flip(a)]. 3221 K(x \ 1,x) * ((x \ y) * z) = (((x \ 1) \ 1) \ y) * z. [para(2445(a,1),3184(a,1,1)),flip(a)]. 3222 K(x \ 1,x) * ((y / (x \ 1)) * z) = (y / (1 / x)) * z. [para(2484(a,1),3184(a,1,1)),flip(a)]. 3224 T(K(x \ 1,x) * (y / z),z) = z \ (K(x \ 1,x) * y). [para(3185(a,1),115(a,1,1))]. 3225 K(x \ 1,x) * (x / y) = (1 / (1 / x)) / y. [para(1145(a,1),3185(a,1,1)),flip(a)]. 3226 (1 / (1 / x)) / T(y,y \ x) = K(x \ 1,x) * (y \ x). [para(174(a,1),3225(a,1,2)),flip(a)]. 3227 (x * K(y \ 1,y)) * z = (x * z) * K(y \ 1,y). [hyper(189,a,2475,a(flip),b,3187,a)]. 3228 (x * (y * K(z \ 1,z))) \ (x * (K(z \ 1,z) * (y * u))) != w | L(u,y * K(z \ 1,z),x) = w. [para(3187(a,1),355(a,1,2,2))]. 3229 (K(x \ 1,x) * (y * ((1 / x) * z))) / ((x \ 1) * z) = R(y,K(x \ 1,x),(1 / x) * z). [para(3187(a,1),2408(a,1,1))]. 3232 R(T(x,y * K(z,z \ 1)),y,K(z,z \ 1)) = T(x,y). [para(3191(a,1),832(a,1,1)),flip(a)]. 3234 (x * K(y \ 1,y)) \ z = x \ (K(y,y \ 1) * z). [para(2480(a,1),3192(a,1,1)),flip(a)]. 3235 (x * y) \ (K(y,y \ 1) * z) = (x * (1 / (1 / y))) \ z. [para(2610(a,1),3192(a,1,1))]. 3236 R(K(x,x \ 1),y,z) = K(x,x \ 1). [hyper(376,a,3193,a)]. 3237 x \ (K(y,y \ 1) * (z * x)) = T(K(y,y \ 1) * z,x). [hyper(147,a,3193,a,b,17,a),flip(a)]. 3239 (x * K(y,y \ 1)) * z = K(y,y \ 1) * (x * z). [para(2502(a,1),3193(a,1,1))]. 3240 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = K(x,x \ 1). [hyper(189,a,2239,a,b,3236,a(flip)),flip(a)]. 3241 (x * K(y,y \ 1)) / z = K(y,y \ 1) * (x / z). [para(2502(a,1),3195(a,1,1))]. 3242 R(K(x,x \ 1) * (y / z),z,K(x \ 1,x)) = y / (z * K(x \ 1,x)). [para(3195(a,1),2503(a,1,1))]. 3244 (x * K(y \ 1,y)) \ (z * K(y \ 1,y)) = x \ z. [hyper(75,a,91,a(flip),b,3227,a)]. 3245 (x * K(y \ 1,y)) * z != u | K(y \ 1,y) * (x * z) = u. [para(3227(a,2),2477(a,1))]. 3246 (x * K(y \ 1,y)) \ 1 = x \ K(y,y \ 1). [para(15(a,1),3234(a,2,2))]. 3247 (K(x,x \ 1) * (y * z)) / (K(x,x \ 1) * z) = R(y,K(x,x \ 1),z). [hyper(76,a,3239,a(flip),b,110,a)]. 3248 K(x,x \ 1) * ((y * z) / (K(x,x \ 1) * z)) = R(y,z,T(K(x,x \ 1),z)). [hyper(189,a,2524,a(flip),b,3241,a(flip))]. 3249 T(x,x \ y) = ((x \ y) * K(z \ 1,z)) \ (y * K(z \ 1,z)). [hyper(189,a,114,a,b,3244,a),flip(a)]. 3250 (1 / x) * R(x,y,z) = x \ R(x,y,z). [hyper(21,a,2489,a,b,3176,a),flip(a)]. 3252 R(x,y,z) / x = x \ R(x,y,z). [hyper(881,a,3250,a)]. 3253 (x \ R(x,y,z)) * x = R(x,y,z). [para(3250(a,1),869(a,1,1))]. 3254 R(x \ R(x,y,z),x,y * z) = ((x * y) * z) / (x * (y * z)). [para(3252(a,1),396(a,1,1))]. 3255 T(x,x \ R(x,y,z)) = x. [hyper(227,a,3253,a)]. 3256 (x / (1 / y)) * K(y,y \ 1) != z | x / (y \ 1) = z. [para(3222(a,1),2495(a,1)),flip(b)]. 3257 x * y != z | R(x,y,y \ 1) / (y \ 1) = z. [para(2339(a,1),3256(a,1))]. 3258 T((x \ 1) * (x * ((y * (x \ z)) / y)),y) = y \ (K(x \ 1,x) * (y * ((1 / x) * z))). [para(2419(a,1),3224(a,1,1))]. 3259 (x * (1 / (1 / y))) \ (y * z) = (x * y) \ (((y \ 1) \ 1) * z). [para(2365(a,1),3235(a,1,2)),flip(a)]. 3260 T(x,y) \ (K(z,z \ 1) * (x * y)) = T(K(z,z \ 1) * y,T(x,y)). [para(113(a,1),3237(a,1,2,2))]. 3263 (K(x \ 1,x) * ((y * z) * u)) / (z * u) = R(K(x \ 1,x) * y,z,u). [para(3184(a,1),3220(a,1,1))]. 3264 K(x,x \ 1) * ((y * z) / (K(x,x \ 1) * z)) = R(y,K(x,x \ 1),z). [hyper(189,a,3195,a(flip),b,3247,a(flip)),flip(a)]. 3265 K(x \ 1,x) * (((y * z) * u) / (z * u)) = R(K(x \ 1,x) * y,z,u). [hyper(189,a,3185,a(flip),b,3263,a(flip)),flip(a)]. 3266 R(K(x \ 1,x) * y,z,u) = K(x \ 1,x) * R(y,z,u). [para(33(a,2),3265(a,1,2)),flip(a)]. 3267 R(K(x \ 1,x) * (y * T(x,x \ 1)),z,u) = (x \ R(x * y,z,u)) * x. [hyper(189,a,2946,a(flip),b,3266,a)]. 3268 (x \ R(x * y,z,u)) * x = R(y * x,z,u). [para(2482(a,1),3267(a,1,1)),flip(a)]. 3269 R(x * y,z,u) / y = y \ R(y * x,z,u). [hyper(88,a,3268,a)]. 3270 R((x \ y) * x,z,u) = (x \ R(y,z,u)) * x. [para(17(a,1),3268(a,1,1,2,1)),flip(a)]. 3271 x \ R(x * (y / x),z,u) = R(y,z,u) / x. [para(19(a,1),3269(a,1,1,1)),flip(a)]. 3272 R((x \ (y / z)) * x,z,z \ 1) = (x \ (y * (z \ 1))) * x. [para(445(a,1),3270(a,2,1,2))]. 3273 R((x \ (y / (1 / z))) * x,z \ 1,z) = (x \ (y * z)) * x. [para(2276(a,1),3270(a,2,1,2))]. 3274 R(x * (y / x),z,u) = x * (R(y,z,u) / x). [para(3271(a,1),17(a,1,2)),flip(a)]. 3275 R((x \ 1) * (y / (x \ 1)),x,x \ 1) = (x \ 1) * (y * x). [para(373(a,1),3274(a,2,2))]. 3276 R(x * ((y / z) / x),z,y \ u) * (z * (y \ u)) = (x * ((u / (z * (y \ u))) / x)) * (z * (y \ u)). [para(3274(a,2),2137(a,1,1))]. 3277 (x \ (x * y)) * x = (x * (y \ T(y,x))) * y. [hyper(189,a,3028,a(flip),b,3273,a(flip))]. 3278 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ (1 * x)) * y) / ((1 / x) \ 1). [para(3273(a,1),3146(a,1,1)),flip(a)]. 3279 (x * (y \ T(y,x))) * y = y * x. [para(16(a,1),3277(a,1,1)),flip(a)]. 3280 x * (y \ T(y,x)) = (y * x) / y. [hyper(88,a,3279,a),flip(a)]. 3281 (x \ y) * (x \ T(x,x \ y)) = y / x. [hyper(76,a,17,a(flip),b,3279,a),flip(a)]. 3282 x \ ((y * x) / y) = y \ T(y,x). [hyper(80,a,3280,a)]. 3283 (x / y) \ T(x / y,y) = y \ (x / (x / y)). [hyper(75,a,185,a(flip),b,3280,a),flip(a)]. 3284 T(x,y) \ x = y \ T(y,T(x,y)). [hyper(75,a,143,a(flip),b,3280,a)]. 3285 x * ((y * (x \ 1)) / y) = y \ T(y,x \ 1). [hyper(20,a,2792,a,b,3280,a),flip(a)]. 3286 ((x * y) / x) / y = x \ T(x,y). [hyper(20,a,2787,a,b,3280,a),flip(a)]. 3287 (x * y) \ ((x * y) / x) = L(x \ 1,T(x,y),y). [para(3280(a,1),775(a,1,2))]. 3288 ((x \ 1) * y) / (x \ 1) = y * (x * T(x \ 1,y)). [para(2638(a,1),3280(a,1,2)),flip(a)]. 3289 ((x * y) / x) * (y \ 1) = x \ T(x,y). [para(3280(a,1),2835(a,1,1))]. 3290 ((x * y) / x) \ y = T(x,y) \ x. [para(3280(a,1),2897(a,1,1))]. 3291 (T(x,y) \ x) * ((x * y) / x) = y. [para(3280(a,1),2982(a,1,2))]. 3292 L(x \ T(x,y),y,x) = K(x,(x * y) / x). [para(3282(a,1),363(a,1,1))]. 3293 T(x,R(y,y \ 1,x)) = (x \ T(x,y)) * x. [para(3282(a,1),1297(a,1,1)),flip(a)]. 3294 R(T(x,y) \ x,y,z) = (T(y,T(x,y)) * z) / (y * z). [para(3284(a,2),2804(a,1,1))]. 3295 R(x \ T(x,y),y,z) \ (((x * y) / x) * z) = y * z. [para(3286(a,1),371(a,1,1,1))]. 3296 R(x \ T(x,y),y,((x * y) / x) \ z) \ z = y * (((x * y) / x) \ z). [para(3286(a,1),395(a,1,1,1))]. 3297 T(x,x \ y) \ x = (y / x) \ (x \ y). [para(17(a,1),3290(a,1,1,1)),flip(a)]. 3298 T(x,T(y,x)) \ x = y \ T(y,x). [para(143(a,1),3290(a,1,1)),flip(a)]. 3299 ((x * y) / x) * (y \ ((T(x,y) \ x) * z)) = L(z,((x * y) / x) \ y,(x * y) / x). [para(3290(a,1),1112(a,1,2,2,1))]. 3300 L(x,y,y \ 1) \ ((1 / y) * (x * y)) = T(y,(1 / y) * (x * y)) \ y. [hyper(3046,a,3291,a)]. 3301 T(x,T(y,x)) * (y \ T(y,x)) = x. [para(3298(a,1),17(a,1,2))]. 3302 (x \ T(x,y)) \ y = T(y,T(x,y)). [para(3298(a,1),2746(a,1,1))]. 3303 (x * (T(x,T(y,x)) \ x)) * y = y * x. [para(3298(a,2),3279(a,1,1,2))]. 3304 (x * y) / x = y * (T(y,T(x,y)) \ y). [para(3298(a,2),3280(a,1,2)),flip(a)]. 3305 L(x,y \ T(y,x),y) = x. [hyper(189,a,2978,a(flip),b,3301,a(flip)),flip(a)]. 3307 T(x,y) \ (y * (x \ T(x,y))) = x \ y. [hyper(75,a,3305,a(flip),b,2785,a),flip(a)]. 3308 (x * T(x \ 1,y)) \ y = T(y,T(x \ 1,y)). [para(2638(a,1),3302(a,1,1))]. 3309 (x \ y) * (x \ ((x \ y) \ y)) = y / x. [para(114(a,1),3281(a,1,2,2))]. 3310 (x \ T(x,y)) \ (((x * y) / x) * ((y \ 1) * z)) != u | L(z,y \ 1,(x * y) / x) = u. [para(3289(a,1),355(a,1,1))]. 3311 T(x * (T(x,T(y,x)) \ x),y) = x. [hyper(147,a,3303,a,b,xx)]. 3313 T(x,y) \ ((x * y) / x) = x \ y. [para(3280(a,1),3307(a,1,2))]. 3314 T(x / y,T(y,x)) = y \ x. [hyper(1469,a,3313,a)]. 3315 T(x,y) * (x \ y) = (x * y) / x. [para(3313(a,1),17(a,1,2))]. 3316 T(x,T(x \ y,y)) = (x \ y) \ y. [para(67(a,1),3314(a,1,1))]. 3317 T(x \ y,T(x,y)) = T(x \ y,x). [para(3314(a,1),161(a,1,1)),flip(a)]. 3318 x \ (y * T(y \ x,T(y,x))) = K(y \ x,T(y,x)). [para(3314(a,1),1628(a,1,1)),flip(a)]. 3319 T(x,x / (x / y)) = T(x,y). [hyper(21,a,1597,a,b,3315,a),flip(a)]. 3320 T(x,(y \ x) * y) * K(y \ x,y) = (x * ((y \ x) * y)) / x. [para(96(a,1),3315(a,1,2))]. 3321 ((x * y) / x) \ (T(x,y) * ((x \ y) * z)) != u | L(z,x \ y,T(x,y)) = u. [para(3315(a,1),355(a,1,1))]. 3322 T(x,y) * y = x * ((x * y) / x). [para(3315(a,1),974(a,1,2)),flip(a)]. 3323 L(((x * y) / x) / y,y,x) = K(T(x,y),y). [para(3315(a,1),2771(a,1,1,1))]. 3324 T(x,x / (1 / y)) = T(x,x * y). [hyper(189,a,1602,a(flip),b,3319,a(flip)),flip(a)]. 3325 (x / T(y,x)) * y = T(x,T(y,x)). [hyper(189,a,1057,a(flip),b,3319,a(flip)),flip(a)]. 3326 (x / y) \ T(x,y) = (x * y) / x. [hyper(75,a,3319,a(flip),b,1042,a)]. 3327 T(x,x / y) = T(x,y \ x). [para(67(a,1),3319(a,1,2,2))]. 3328 T(x,(y \ x) \ x) = T(x,y). [para(130(a,1),3319(a,1,2)),flip(a)]. 3329 T(x,T(y,x)) * (y * x) = x * (x * y). [para(3319(a,1),1500(a,1,1))]. 3330 x * ((y * (x \ y)) / y) = T(y,x \ y). [hyper(1041,a,3327,a)]. 3331 T(x,T(y,y \ x)) = T(x,y). [para(114(a,2),3328(a,1,2))]. 3332 T(x,T(x \ y,y)) = T(x,x \ y). [hyper(189,a,114,a,b,3316,a)]. 3333 T(x,y) * T(x \ y,x) = (x \ y) * T(x,y). [para(3317(a,1),113(a,1,2))]. 3335 x \ (y * T(y \ x,T(y,x))) != z | K(y \ x,y) = z. [para(3317(a,2),575(a,1,2,2))]. 3336 T(x,x \ y) * (x \ y) = x * (y / x). [para(17(a,1),3322(a,2,2,1))]. 3337 R(T(x,x * y),y,x) = (x / T(y,x)) * y. [para(3324(a,1),1513(a,1,1))]. 3338 ((x * y) * y) / (x * y) = x \ T(x * y,y). [para(18(a,1),3326(a,1,1)),flip(a)]. 3339 (x \ y) \ (y / x) != z | x \ ((x \ y) \ y) = z. [para(3309(a,1),237(a,1,2)),flip(b)]. 3341 T(x,y \ x) != z | T(x,x / y) = z. [para(3330(a,1),1044(a,1))]. 3342 T(x,x \ y) * y = x * (x * (y / x)). [para(3336(a,1),974(a,1,2)),flip(a)]. 3343 (x * (x * (T(y,z) / x))) / y = (T(x,x \ T(y,z)) / y) * T(y,z). [hyper(76,a,3342,a(flip),b,1461,a)]. 3344 K(x,y) = L(x \ T(x,T(y,x)),T(y,x),x). [para(143(a,1),3292(a,2,2)),flip(a)]. 3345 T(x,R(y,y \ 1,x)) = T(x,y). [hyper(189,a,2799,a(flip),b,3293,a)]. 3346 T(x,(y \ x) \ 1) = x * K(x,y / x). [hyper(2705,a,3345,a),flip(a)]. 3348 T(x,R(y \ 1,y,x)) = T(x,y \ 1). [para(2573(a,1),3345(a,1,2))]. 3349 T(x,(y \ x) \ 1) != z | x * K(x,y / x) = z. [para(3345(a,1),2705(a,1))]. 3350 T(x,x / (x * y)) = T(x,y \ 1). [hyper(189,a,2829,a(flip),b,3348,a(flip)),flip(a)]. 3351 T(x,x / (y * x)) = T(x,y \ 1). [hyper(189,a,2678,a(flip),b,3348,a(flip)),flip(a)]. 3352 (x * ((x / y) / x)) * y = T(x,y \ 1). [hyper(1793,a,3350,a)]. 3355 K(x,(x / y) / x) = x \ T(x,y \ 1). [hyper(75,a,3350,a(flip),b,1404,a),flip(a)]. 3356 T(x * ((x / y) / x),y) = y \ T(x,y \ 1). [para(3350(a,1),1790(a,1,2)),flip(a)]. 3357 x * (y * ((x \ y) / y)) = T(y,x \ 1). [hyper(1070,a,3351,a)]. 3358 x \ T(y,x \ 1) = y * ((x \ y) / y). [hyper(75,a,3351,a(flip),b,1069,a)]. 3359 T(x,T(y,y \ x) \ 1) = x * K(x,(y \ x) / x). [para(114(a,2),3346(a,1,2,1))]. 3360 (x \ 1) \ T(y,x) = y * (((x \ 1) \ y) / y). [hyper(75,a,2671,a(flip),b,3357,a)]. 3361 (x * y) * ((x \ (x * y)) / (x * y)) = ((x \ 1) \ y) * (x \ 1). [hyper(772,a,3358,a),flip(a)]. 3362 x \ (y \ T(x,y \ 1)) = (y \ x) / x. [hyper(75,a,3358,a,b,xx)]. 3363 (x / y) \ T(x,(x / y) \ 1) = x * (y / x). [para(69(a,1),3358(a,2,2,1))]. 3364 x * R(1 / y,y,y \ x) = y \ T(x,y \ 1). [para(286(a,2),3358(a,2,2)),flip(a)]. 3368 L(x \ T(x,y),y,x) = K(T(x,y),y). [para(3286(a,1),3323(a,1,1))]. 3369 K(T(x,y),y) = K(x,(x * y) / x). [hyper(189,a,3292,a(flip),b,3368,a(flip))]. 3370 R(T(x,x * y),y,x) = T(x,T(y,x)). [hyper(189,a,3325,a(flip),b,3337,a)]. 3371 L(R(x,y,x),y,x) * y = y * T(x,T(y,x)). [para(3370(a,1),834(a,1,2)),flip(a)]. 3372 (x / y) \ (y \ x) = y \ (x / (x / y)). [para(115(a,1),3283(a,1,2))]. 3373 T(x,x \ y) \ x = x \ (y / (y / x)). [hyper(189,a,3297,a,b,3372,a(flip)),flip(a)]. 3374 x / (x / y) = y * (T(y,y \ x) \ y). [para(3373(a,2),17(a,1,2)),flip(a)]. 3375 (x * y) / ((x * y) / x) = x * (T(x,y) \ x). [para(16(a,1),3374(a,2,2,1,2))]. 3376 (x * ((y \ x) / x)) / (y \ x) = x \ T(x,y \ 1). [hyper(189,a,885,a,b,3285,a(flip)),flip(a)]. 3377 T(x \ T(x,y \ 1),z) = K(x,(x / T(y,z)) / x). [para(3285(a,1),1799(a,1,1))]. 3378 K(x,(x / y) / x) * (y * z) = y * ((x \ T(x,y \ 1)) * z). [para(3285(a,1),1812(a,2,2,1))]. 3379 (x * ((y / (z * (x \ y))) / x)) * (z * (x \ y)) = x * ((x \ T(x,z \ 1)) * (x \ y)). [para(3285(a,1),1801(a,2,2,1))]. 3380 R(x \ T(x,y \ 1),z,u) = K(x,(x / R(y,z,u)) / x). [para(3285(a,1),2149(a,1,1))]. 3381 T(x,T(L(y \ 1,y,x) \ 1,x)) = K(y,x) \ x. [para(906(a,2),3308(a,1,1)),flip(a)]. 3382 T(x \ T(x * y,y),x) = R(y,x,y). [para(3338(a,1),603(a,2,1)),flip(a)]. 3383 (x \ T(x * y,y)) * x = x * R(y,x,y). [para(3338(a,1),612(a,1,1))]. 3384 (x * R(y,x,y)) \ T(x * y,y) = K(x,x \ T(x * y,y)). [para(3383(a,1),97(a,1,1))]. 3385 T(((x / y) / x) * ((x \ 1) \ 1),y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x. [para(3356(a,1),2321(a,2,1,2))]. 3386 (((x / y) \ 1) \ y) * ((x / y) \ 1) = x * (y / x). [hyper(941,a,3363,a)]. 3387 T((x * y) / x,T(x,y)) = L(R(y,x,y),x,y). [hyper(21,a,325,a,b,3371,a),flip(a)]. 3388 x / (y \ ((y * x) / y)) = y * (T(y,x) \ y). [hyper(189,a,1049,a(flip),b,3375,a(flip)),flip(a)]. 3389 (x * y) / ((x * y) / x) != x * z | T(x,y) \ x = z. [para(3375(a,2),22(a,1))]. 3390 x * (((x * y) / ((x * y) / x)) \ z) = (x * (T(x,y) \ x)) \ (x * z). [para(3375(a,1),1115(a,1,1)),flip(a)]. 3391 T(x \ T(x * y,y),T(x * y,y)) = L(R(y,x * y,y),x * y,y). [para(3338(a,1),3387(a,1,1))]. 3392 ((x * y) / x) * T(((x * y) / x) \ x,y) = x * K(y \ (x * (T(x,y) \ x)),y). [para(3388(a,1),1074(a,2,2,1,2))]. 3393 x * R(1 / (1 / y),1 / y,(1 / y) \ x) = (1 / y) \ T(x,y). [para(69(a,1),3364(a,2,2,2))]. 3394 T(x,((x * y) \ x) \ K(y,x)) = K(y,x) \ x. [para(905(a,1),3381(a,1,2))]. 3395 ((L(x \ 1,x,y) \ 1) * y) / (L(x \ 1,x,y) \ 1) = y * K(x,y). [para(906(a,2),3288(a,2,2))]. 3396 T(x,T(y,y \ x) \ 1) != x * z | K(x,(y \ x) / x) = z. [para(3359(a,2),22(a,1))]. 3397 x \ T(x,T(y,z) \ 1) = T(x \ T(x,y \ 1),z). [hyper(189,a,3355,a(flip),b,3377,a),flip(a)]. 3398 x \ (y * (x / y)) != z | K(((y / x) \ 1) \ x,(y / x) \ 1) = z. [para(3386(a,1),336(a,1,2))]. 3399 T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = x \ T(x,R(z \ 1,z,y) \ 1). [para(2822(a,1),3397(a,1,2,2,1)),flip(a)]. 3400 L((T(x,T(y,x)) * z) / (x * z),T(y,x),x) = R((y * x) \ (x * y),x,z). [para(3294(a,1),716(a,1,1))]. 3401 K(x \ y,T(x,y)) = K(x \ y,x). [hyper(3335,a,3318,a),flip(a)]. 3402 K(x \ (x * y),x) = K(y,T(x,x * y)). [hyper(189,a,1215,a(flip),b,3401,a(flip))]. 3403 K(x,T(y,y * x)) = K(x,y). [hyper(189,a,1215,a(flip),b,3402,a(flip))]. 3405 R(x \ T(x,y \ 1),z,u) = x \ T(x,R(y,z,u) \ 1). [hyper(189,a,3355,a(flip),b,3380,a)]. 3406 ((x \ 1) * (y * x)) / (x \ 1) != z * x | (x \ 1) * (y / (x \ 1)) = z. [para(3275(a,1),453(a,1,1)),flip(b)]. 3407 (x * ((y \ x) * y)) / x != z * K(y \ x,y) | T(x,(y \ x) * y) = z. [para(3320(a,1),23(a,1))]. 3408 ((x \ 1) \ y) * (x \ 1) = (x * y) * (y / (x * y)). [para(16(a,1),3361(a,1,2,1)),flip(a)]. 3409 ((x \ 1) * y) * (y / ((x \ 1) * y)) = (x \ y) * x. [hyper(189,a,2538,a(flip),b,3408,a(flip))]. 3410 ((x \ 1) * y) * R(x,x \ 1,y) = (x \ y) * x. [para(139(a,2),3409(a,1,2))]. 3411 ((((x \ 1) * y) * x) / ((x \ 1) * y)) * (x \ 1) = ((x \ y) * x) / y. [hyper(76,a,3410,a(flip),b,669,a),flip(a)]. 3412 (x \ T(x,y \ 1)) * (y * z) = y * ((x \ T(x,y \ 1)) * z). [para(3355(a,1),3378(a,1,1))]. 3413 x * R(1 / (1 / y),y \ 1,(1 / y) \ x) = (1 / y) \ T(x,y). [para(2591(a,1),3393(a,1,2))]. 3414 K(x,((y \ 1) \ x) / x) = ((1 / y) \ x) \ ((1 / y) \ T(x,y)). [para(3413(a,1),3091(a,1,2)),flip(a)]. 3415 K(x \ ((x \ 1) \ y),x) = K(y,((x \ 1) \ y) / y). [hyper(189,a,3097,a(flip),b,3414,a),flip(a)]. 3416 (x * (T(x,y) \ x)) \ (x * z) = x * ((x * (T(x,y) \ x)) \ z). [para(3375(a,1),3390(a,1,2,1)),flip(a)]. 3417 x * ((x * (T(x,y) \ x)) \ ((T(x,y) \ x) * z)) = L(z,T(x,y) \ x,x). [hyper(355,a,3416,a),flip(a)]. 3418 T(K(x,y),x * K(z,x)) = K(x,y). [para(3395(a,1),2665(a,1,2))]. 3419 T(x * K(y,x),K(x,z)) = x * K(y,x). [hyper(38,a,3418,a)]. 3420 ((x \ 1) * y) \ T((x \ 1) * y,x) = ((x \ y) * x) / y. [hyper(189,a,3289,a(flip),b,3411,a(flip)),flip(a)]. 3421 L(K(x \ y,x),y,x \ 1) = ((x \ y) * x) / y. [hyper(189,a,1905,a(flip),b,3420,a(flip)),flip(a)]. 3422 ((x \ (x * y)) * x) / (x * y) = L(K(y,x),x * y,x \ 1). [para(16(a,1),3421(a,1,1,1)),flip(a)]. 3423 L(K(x,y),y * x,y \ 1) = (x * y) / (y * x). [para(16(a,1),3422(a,1,1,1)),flip(a)]. 3424 L(K(x,y),y * x,y \ 1) = T(y,(1 / y) * (x * y)) \ y. [hyper(189,a,3198,a(flip),b,3300,a(flip)),flip(a)]. 3425 L(K(x,y),y * x,y \ 1) = T(y,(y \ 1) * (x * y)) \ y. [para(2393(a,1),3424(a,2,1))]. 3426 T(x,(x \ 1) * (y * x)) \ x = (y * x) / (x * y). [hyper(189,a,3423,a(flip),b,3425,a(flip))]. 3427 x * (((y * x) / (x * y)) \ 1) = T(x,(x \ 1) * (y * x)). [para(3426(a,1),2848(a,1,2,1))]. 3428 x * L(x \ y,x,T(x,z) \ x) = L(y,T(x,z) \ x,x). [para(2780(a,1),3417(a,1,2))]. 3429 L((T(x,T(y,x)) * z) / (x * z),T(y,x),x) = R(K(x,y),x,z). [para(29(a,2),3400(a,2,1))]. 3430 R(x,y,T(K(z,z \ 1),y)) = R(x,K(z,z \ 1),y). [hyper(189,a,3264,a(flip),b,3248,a(flip))]. 3431 R(x,K(y,y \ 1),z) = R(x,z,K(y,y \ 1)). [para(2514(a,1),3430(a,1,3)),flip(a)]. 3432 R(x,y,K(z \ 1,(z \ 1) \ 1)) = R(x,K(z \ 1,z),y). [para(1538(a,1),3431(a,1,2)),flip(a)]. 3434 R(x,K(y \ 1,y),z) = R(x,z,K(y \ 1,y)). [para(1538(a,1),3432(a,1,3)),flip(a)]. 3435 T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = R(x \ T(x,(z \ 1) \ 1),z,y). [hyper(189,a,3405,a,b,3399,a)]. 3436 T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = R(x \ T(x,z),z,y). [para(2671(a,1),3435(a,2,1,2))]. 3437 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ x) * y) / ((1 / x) \ 1). [para(14(a,1),3278(a,2,1,1,2))]. 3438 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ x) * y) / x. [para(69(a,1),3437(a,2,2))]. 3439 x * K(y \ (x * (T(x,y) \ x)),y) = (x * (y * T(y \ x,y))) / x. [hyper(189,a,1580,a(flip),b,3392,a(flip))]. 3440 x * K(y \ (x * (T(x,y) \ x)),y) = (x * ((y \ x) * y)) / x. [para(113(a,1),3439(a,2,1,2))]. 3441 ((x * y) / x) * (y \ ((T(x,y) \ x) * z)) = L(z,T(x,y) \ x,(x * y) / x). [para(3290(a,1),3299(a,2,2))]. 3442 T((x \ 1) * (x * ((y * (x \ z)) / y)),y) != u | L((x \ 1) * z,K(x,x \ 1),y) = u. [para(3258(a,2),3217(a,1))]. 3443 T((x / y) * K(x,x \ 1),y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x. [para(2257(a,1),3385(a,1,1,1))]. 3444 T(((x \ 1) \ 1) / y,y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x. [para(3211(a,1),3443(a,1,1,1))]. 3445 (x \ ((y \ 1) \ 1)) * K(y \ 1,y) = (y \ (x \ T(y,x \ 1))) * y. [para(115(a,1),3444(a,1,1))]. 3446 (x \ ((y \ 1) \ 1)) * K(y \ 1,y) = ((x \ y) / y) * y. [para(3362(a,1),3445(a,2,1))]. 3447 (x \ ((y \ 1) \ 1)) * K(y \ 1,y) = x \ y. [hyper(189,a,19,a(flip),b,3446,a)]. 3448 (x \ y) * K(y,y \ 1) = x \ ((y \ 1) \ 1). [hyper(21,a,2325,a(flip),b,3446,a),flip(a)]. 3450 K(x \ 1,x) * (y \ ((x \ 1) \ 1)) = y \ x. [hyper(2477,a,3447,a)]. 3452 (x \ ((y \ 1) \ 1)) * (y \ 1) = (x \ y) * (1 / y). [para(3447(a,1),2284(a,1,1)),flip(a)]. 3453 (x \ y) * K(y,y \ 1) = x \ T(y,y \ 1). [hyper(189,a,318,a,b,3448,a)]. 3454 K(x,x \ 1) * (y \ x) = y \ T(x,x \ 1). [hyper(2523,a,3453,a)]. 3455 K(x \ 1,x) * ((y * ((1 / x) * z)) / ((x \ 1) * z)) = R(y,K(x \ 1,x),(1 / x) * z). [hyper(189,a,3185,a(flip),b,3229,a(flip)),flip(a)]. 3456 (1 / (x \ 1)) / T(y,y \ T(x,x \ 1)) = (y \ ((x \ 1) \ 1)) * K(x \ 1,x). [para(1538(a,1),3213(a,2,2))]. 3457 x / T(y,y \ T(x,x \ 1)) = (y \ ((x \ 1) \ 1)) * K(x \ 1,x). [para(67(a,1),3456(a,1,1))]. 3458 x / T(y,y \ T(x,x \ 1)) = y \ x. [hyper(189,a,3447,a(flip),b,3457,a)]. 3459 (1 / x) / T(y,y \ (x \ 1)) = y \ (1 / x). [para(497(a,1),3458(a,1,2,2,2))]. 3460 (1 / (1 / x)) / T(y,y \ x) = y \ (1 / (1 / x)). [para(228(a,1),3458(a,1,2,2,2))]. 3461 K(x \ 1,x) * (y \ x) = y \ (1 / (1 / x)). [hyper(189,a,3226,a(flip),b,3460,a(flip)),flip(a)]. 3462 (x \ (1 / (1 / y))) * K(y,y \ 1) = x \ y. [hyper(2494,a,3461,a)]. 3463 K(x,x \ 1) * ((y \ (1 / (1 / x))) * z) = (y \ x) * z. [para(3462(a,1),3239(a,1,1)),flip(a)]. 3464 x * K(y \ (1 / (1 / x)),y) = (y \ x) * y. [hyper(189,a,2413,a(flip),b,3463,a(flip)),flip(a)]. 3465 ((x \ y) * x) * (y \ 1) = ((x \ y) * x) / y. [para(3464(a,1),3438(a,1,1))]. 3466 (x * ((y / (z * (u \ y))) / x)) * (z * (u \ y)) = ((x * ((u / z) / x)) * z) * (u \ y). [hyper(204,a,3276,a),flip(a)]. 3467 ((x * ((x / y) / x)) * y) * (x \ z) = x * ((x \ T(x,y \ 1)) * (x \ z)). [hyper(189,a,3379,a(flip),b,3466,a(flip))]. 3468 x * ((x \ T(x,y \ 1)) * (x \ z)) = T(x,y \ 1) * (x \ z). [para(3352(a,1),3467(a,1,1)),flip(a)]. 3469 T(x,(y \ 1) \ 1) * (x \ z) = x * ((x \ T(x,y)) * (x \ z)). [para(2671(a,1),3468(a,1,2,1,2)),flip(a)]. 3470 x * ((x \ T(x,y)) * (x \ z)) = T(x,y) * (x \ z). [para(2671(a,1),3469(a,1,1)),flip(a)]. 3471 T(x,y) * (x \ (x * z)) = x * ((x \ T(x,y)) * z). [para(16(a,1),3470(a,1,2,2)),flip(a)]. 3472 x * ((x \ T(x,y)) * z) = T(x,y) * z. [para(16(a,1),3471(a,1,2)),flip(a)]. 3474 L(x,y \ T(y,z),y) = x. [hyper(404,a,3472,a)]. 3475 (T(x,y) * z) / ((x \ T(x,y)) * z) = x. [hyper(88,a,3472,a)]. 3476 (x \ T(x,y)) * z = T(x,y) * (x \ z). [hyper(20,a,974,a,b,3472,a)]. 3477 (x \ T(x,y)) * (x * z) = T(x,y) * z. [hyper(20,a,979,a(flip),b,3472,a)]. 3479 x * ((T(y,x) \ y) * z) = T(x,T(y,x)) * z. [para(3284(a,2),3472(a,1,2,1))]. 3483 L(x,T(y,T(z,y)) \ y,z) = x. [para(3298(a,2),3474(a,1,2))]. 3484 L(x,T(y,z) \ y,(y * z) / y) = x. [para(142(a,1),3483(a,1,2,1,2))]. 3485 x \ ((T(y,x) \ y) * z) = ((y * x) / y) \ z. [hyper(75,a,3484,a(flip),b,3441,a),flip(a)]. 3486 R(x,x \ T(x,y),z) = x. [hyper(588,a,3475,a)]. 3487 R(x,x \ (K(y,x) \ x),z) = x. [para(3381(a,1),3486(a,1,2,2))]. 3488 R(x,K(y,x) \ 1,z) = x. [para(3063(a,1),3487(a,1,2))]. 3489 x \ ((K(y,x) \ x) * z) = (K(y,x) \ 1) * z. [para(3488(a,1),3067(a,1,1))]. 3490 T(x,y \ 1) * (x \ (y * z)) = y * ((x \ T(x,y \ 1)) * z). [hyper(189,a,3412,a(flip),b,3476,a(flip))]. 3491 T(x,y) * (x \ (z * K(x \ 1,x))) = ((x \ 1) * T(x,y)) * z. [hyper(189,a,3040,a(flip),b,3476,a(flip))]. 3493 (T(x,y) * z) / (x * z) = x \ T(x,y). [hyper(88,a,3477,a)]. 3494 (x \ T(x,y)) \ (T(x,y) * z) != u | x * z = u. [para(3477(a,1),237(a,1,2)),flip(b)]. 3495 R(x \ T(x,y),x,z) = x \ T(x,y). [hyper(2814,a,3493,a)]. 3496 R(K(x,y),x,z) = L(x \ T(x,T(y,x)),T(y,x),x). [para(3493(a,1),3429(a,1,1)),flip(a)]. 3498 (x * T(x \ y,z)) / y = (y / x) \ T(y / x,z). [hyper(189,a,2898,a(flip),b,3495,a(flip)),flip(a)]. 3500 (T(x,y) \ x) * (x * y) = y * x. [hyper(20,a,3329,a(flip),b,3479,a)]. 3501 K(x,y) = T(T(y,x) \ y,y * x). [hyper(147,a,3500,a,b,95,a),flip(a)]. 3502 (x * y) / (y * x) = T(y,x) \ y. [hyper(88,a,3500,a)]. 3504 T(x / y,y) \ (x / y) = (y * (x / y)) / x. [para(19(a,1),3502(a,1,2)),flip(a)]. 3505 T(x,y) = x * (((y * x) / (x * y)) \ 1). [para(3502(a,2),2848(a,1,2,1)),flip(a)]. 3506 T(x,(x \ 1) * (y * x)) = T(x,y). [hyper(189,a,3427,a(flip),b,3505,a),flip(a)]. 3507 T(x,y * x) = T(x,x * y). [para(482(a,1),3506(a,1,2))]. 3508 T(x,(x \ y) * x) = T(x,y). [para(486(a,1),3506(a,1,2))]. 3509 T(x,T((x \ 1) * y,x)) = T(x,x \ y). [para(1903(a,1),3506(a,1,2))]. 3510 T(x,x * (y / x)) = T(x,y). [para(19(a,1),3507(a,1,2)),flip(a)]. 3511 T(T(x,x * y),z) = T(T(x,z),y * x). [para(3507(a,1),41(a,1,1))]. 3512 x * T(y,x * y) = L(y,x,y) * x. [para(3507(a,2),559(a,1,2))]. 3513 R(T(x,x * y),y,x) = T(x,y). [para(3507(a,1),615(a,1,1))]. 3514 x * L(T(y,x * y),z,u) = L(L(y,x,y),z,u) * x. [para(3507(a,2),562(a,1,2,1))]. 3515 K(x,T(y,x * y)) = K(x,y). [para(3507(a,2),3403(a,1,2))]. 3516 ((x \ y) * x) * T(x,y) = x * ((x \ y) * x). [para(3508(a,1),113(a,1,2))]. 3517 R(T(x,y),x \ y,x) = T(x,x \ y). [para(3508(a,1),615(a,1,1))]. 3518 (x * ((x \ y) * x)) / x = (x \ y) * T(x,y). [para(3508(a,1),1467(a,2,2))]. 3519 T((x \ y) * T(x,y),x) = (x \ y) * x. [para(3508(a,1),1480(a,1,1,2))]. 3520 K(x,T(x \ y,y)) = K(x,x \ y). [para(17(a,1),3515(a,1,2,2))]. 3521 T(x,T(y,x)) = T(x,y). [hyper(189,a,3370,a(flip),b,3513,a(flip)),flip(a)]. 3522 (x / T(y,x)) * y = T(x,y). [hyper(189,a,3337,a(flip),b,3513,a(flip)),flip(a)]. 3523 T(x,y) / y = x / T(y,x). [hyper(76,a,3513,a(flip),b,3337,a(flip))]. 3524 R(x,y,x) * (x * y) = (x * y) * T(x,y). [para(3513(a,1),160(a,1,2)),flip(a)]. 3525 x * (T(x,y) \ y) = T(y,x). [hyper(1060,a,3521,a)]. 3528 T(x,y) \ (x * y) = T(y,x). [hyper(316,a,3521,a)]. 3529 T(x,y) \ y = x \ T(y,x). [hyper(75,a,3521,a(flip),b,1008,a),flip(a)]. 3530 T(T(x,y),T(z,x)) = T(T(x,z),y). [para(3521(a,1),41(a,1,1)),flip(a)]. 3531 T(x,T(T(y,x),z)) = T(x,T(y,z)). [para(41(a,1),3521(a,1,2))]. 3532 T(L(x,y,z),T(u,x)) = L(T(x,u),y,z). [para(3521(a,1),43(a,1,1)),flip(a)]. 3533 T(x,y / x) = T(x,x \ y). [para(115(a,1),3521(a,1,2)),flip(a)]. 3534 T(x,y) * L(T(y,x),z,u) = L(y,z,u) * T(x,y). [para(3521(a,1),159(a,1,2,1))]. 3535 T(x,y) * R(T(y,x),z,u) = R(y,z,u) * T(x,y). [para(3521(a,1),160(a,1,2,1))]. 3536 T((x \ y) \ y,T(z,x)) = T(T(x,z),x \ y). [para(3521(a,1),221(a,1,1)),flip(a)]. 3537 T(x,y) * T(T(y,x),z) != u | T(y,z) * T(x,y) = u. [para(3521(a,1),302(a,1,2,1))]. 3538 T(x,y) * R(T(T(y,x),z),u,w) = R(T(y,z),u,w) * T(x,y). [para(3521(a,1),509(a,1,2,1,1))]. 3539 T(x \ y,x) != z | T(x,x \ y) \ y = z. [para(3521(a,1),317(a,1))]. 3540 T(x \ y,x) != z | ((x \ y) \ y) \ y = z. [para(3521(a,1),435(a,1))]. 3542 T(x,y) \ x = y \ T(y,x). [para(3521(a,1),3284(a,2,2))]. 3543 T(x * (T(x,y) \ x),y) = x. [para(3521(a,1),3311(a,1,1,2,1))]. 3544 (x * y) / x = y * (T(y,x) \ y). [para(3521(a,1),3304(a,2,2,1))]. 3545 T(x,y) * (y * x) = x * (x * y). [para(3521(a,1),3329(a,1,1))]. 3546 x * ((T(y,x) \ y) * z) = T(x,y) * z. [para(3521(a,1),3479(a,2,1))]. 3547 T(x,y) / T(y,x) = x / T(T(y,x),x). [hyper(76,a,3521,a(flip),b,3522,a)]. 3548 T(x,y) = (x * (x * y)) / (y * x). [hyper(189,a,1512,a,b,3522,a(flip))]. 3549 (x * y) / T(y,x) = T(x,y). [hyper(189,a,1483,a,b,3522,a(flip)),flip(a)]. 3550 T(x,y) != z * y | x / T(y,x) = z. [para(3522(a,1),23(a,1))]. 3551 T(x,y) * T(y,x) = x * y. [para(3522(a,1),1484(a,1,1))]. 3552 ((x * (y / x)) / T(x,y)) * x = T(x * (y / x),x). [para(3510(a,1),3522(a,1,1,2))]. 3553 (T(x,y) / y) \ x = T(y,x). [para(3523(a,2),69(a,1,1))]. 3554 K(x \ 1,x) * T(y,(x \ 1) \ 1) = x * (T((x \ 1) \ 1,y) \ y). [para(3525(a,1),2443(a,1,2))]. 3555 T(x,y) = (x \ (y * x)) \ (y * x). [para(35(a,1),3528(a,1,1)),flip(a)]. 3556 x * T(y,z) != z * y | T(z,y) = x. [para(3528(a,1),87(a,1,2)),flip(b)]. 3557 T(x,y) * (x \ T(y,x)) = y. [para(3529(a,1),17(a,1,2))]. 3558 (T(x,y) * ((x \ T(y,x)) * z)) \ (y * z) = a(T(x,y),T(x,y) \ y,z). [para(3529(a,1),93(a,1,1,2,1))]. 3559 T((x \ y) * x,x) = (T(x,y) \ y) * x. [para(3529(a,2),1172(a,2,1))]. 3560 T(x,y / x) = (x \ y) \ y. [hyper(189,a,114,a(flip),b,3533,a)]. 3561 R(T(x,y),y / x,x) = T(x,x \ y). [hyper(189,a,618,a,b,3533,a(flip)),flip(a)]. 3562 (x / y) * T(y,y \ x) = y * (x / y). [para(3533(a,1),113(a,1,2))]. 3563 x / T(y,x / y) = y \ x. [para(3533(a,2),174(a,1,2))]. 3565 (x * (y / x)) * x = y * T(x,x \ y). [para(3533(a,1),622(a,2,2))]. 3566 (x * y) \ (y * T(x,x \ y)) = a(x,y / x,x). [para(3533(a,1),701(a,1,2,2))]. 3567 K(x \ (x / y),x) = T(x,y \ 1) \ x. [hyper(189,a,2641,a,b,3542,a),flip(a)]. 3568 T(x,y \ 1) \ x = y * T(y \ 1,x). [hyper(189,a,2638,a(flip),b,3542,a)]. 3571 T(x,y) * (x \ z) = (T(y,x) \ y) * z. [para(3542(a,2),3476(a,1,1)),flip(a)]. 3572 K(x,y) = T(x \ T(x,y),y * x). [para(3542(a,1),3501(a,2,1))]. 3573 T(x / (x / y),y \ x) = y. [para(3374(a,2),3543(a,1,1))]. 3574 T(T(x,y),T(y,x)) != z | T(y,x) \ (x * y) = z. [para(3549(a,1),307(a,1,1))]. 3575 (T(x,y) * (y * x)) / T(x,y) = T(y,x) * T(T(x,y),y * x). [para(3549(a,1),1463(a,1,1)),flip(a)]. 3576 (T(x,y) * (T(y,x) * z)) \ ((x * y) * z) = a(T(x,y),T(y,x),z). [para(3551(a,1),27(a,2,2,1)),flip(a)]. 3577 (x * y) \ (T(x,y) * (T(y,x) * z)) = L(z,T(y,x),T(x,y)). [para(3551(a,1),31(a,2,1)),flip(a)]. 3579 R(x,T(y,z),T(z,y)) * (y * z) = (x * T(y,z)) * T(z,y). [para(3551(a,1),110(a,1,2))]. 3580 x / T(y,x) != z | T(x,y) / y = z. [para(3553(a,1),246(a,1,2)),flip(b)]. 3581 T(x,y) * (x \ T(x * (y / x),x)) = x * (y / x). [para(3510(a,1),3557(a,1,1))]. 3584 (x * (y / x)) * x = y * ((x \ y) \ y). [para(3560(a,1),622(a,2,2))]. 3585 x / T(y \ x,y) = (y \ x) \ x. [para(67(a,1),3563(a,1,2,2))]. 3586 T(T(x / (x / y),z),y \ x) = T(y,z). [para(3573(a,1),41(a,1,1)),flip(a)]. 3588 (x / (x / y)) * (y \ x) = (y \ x) * y. [para(3573(a,1),113(a,1,2)),flip(a)]. 3589 ((x \ y) * x) / (x \ y) = y / (y / x). [para(3573(a,1),143(a,1,1,2))]. 3591 T((T(x,y) * y) / T(x,y),x) = y. [para(3544(a,2),3311(a,1,1))]. 3592 (x * (x * y)) \ ((x * y) * x) = K(y * x,T(x,y)). [para(3545(a,1),623(a,1,1))]. 3593 x \ T(x,T(y,(y \ 1) * x) \ 1) = K(x,y \ 1). [hyper(189,a,3397,a,b,3572,a),flip(a)]. 3594 T(x,T(y,x)) != z | T(x,y) = z. [para(3591(a,1),548(a,1,1))]. 3595 ((x * (y * x)) / x) / y = L(x,y,x). [hyper(1482,a,3512,a)]. 3596 (x * (y * x)) / x = L(x,y,x) * y. [hyper(1481,a,3512,a)]. 3597 T((x * y) / x,x * y) = L(y,x,y). [hyper(331,a,3512,a)]. 3598 T(L(x,y,x) * y,x) = y * x. [para(3512(a,1),1480(a,1,1))]. 3599 (L(x,y,x) * y) * x = x * (y * x). [para(3598(a,1),113(a,1,2)),flip(a)]. 3601 T(x,L(x,y,x) * y) = T(x,y * x). [para(3598(a,1),3521(a,1,2)),flip(a)]. 3602 T((x * y) / x,L(x,y,x)) = y. [hyper(1273,a,3596,a)]. 3603 T(x,L(y,x,y)) = T(x,y). [para(3602(a,1),176(a,1,1)),flip(a)]. 3604 L(x,y,x) * T(y,x) = y * L(x,y,x). [para(3603(a,1),113(a,1,2))]. 3606 L(R(x,y,x),y,x) = x. [hyper(814,a,3599,a)]. 3607 T(x \ T(x * y,y),T(x * y,y)) = y. [hyper(189,a,3391,a,b,3606,a(flip)),flip(a)]. 3608 T(x,L(x,y,x) * y) = T(x,x * y). [hyper(189,a,3507,a(flip),b,3601,a)]. 3609 R(T(x,x * y),y,T(x,x * y)) = T(x,y). [para(3608(a,1),1492(a,1,1))]. 3610 T(x,(x \ 1) * y) = T(x,x \ y). [hyper(3594,a,3509,a)]. 3611 T(x,(1 / x) * y) = T(x,x \ y). [hyper(189,a,2393,a,b,3610,a(flip)),flip(a)]. 3612 T(x \ 1,(x \ 1) \ y) = T(x \ 1,x * y). [hyper(189,a,2394,a(flip),b,3610,a(flip))]. 3613 T(x,x \ ((x \ 1) \ y)) = T(x,y). [para(17(a,1),3610(a,1,2)),flip(a)]. 3614 T(x,x \ ((1 / x) \ y)) = T(x,y). [para(17(a,1),3611(a,1,2)),flip(a)]. 3615 T((x \ 1) \ y,T(x,y)) = T((x \ 1) \ y,x). [para(3613(a,1),3331(a,1,2))]. 3616 (x \ ((1 / x) \ y)) * T(x,y) = (1 / x) \ y. [para(3614(a,1),145(a,1,2))]. 3617 T(x,R(y,x,x \ 1)) = T(x,y). [para(851(a,1),3614(a,1,2))]. 3618 T(x,y * (x \ 1)) = T(x,y / x). [para(445(a,1),3617(a,1,2))]. 3619 T(x,y * (x \ 1)) = T(x,x \ y). [hyper(189,a,3533,a(flip),b,3618,a)]. 3620 T(T(x,y),(z \ 1) * x) = T(T(x,z \ x),y). [para(1570(a,1),3511(a,1,1)),flip(a)]. 3621 (x * ((x \ y) * x)) / x != z | (x \ y) * T(x,y) = z. [para(3519(a,1),250(a,1,1,2)),flip(b)]. 3622 T(x,(x \ y) * T(x,y)) = T(x,(x \ y) * x). [para(3519(a,1),3521(a,1,2)),flip(a)]. 3623 (T(x,y / z) \ x) * y = z * T(z \ y,x). [hyper(20,a,1062,a,b,3546,a)]. 3624 (x * (x * (T(x,y) \ y))) / T((x \ y) * x,x) = T(x,T(x,y) \ y). [para(3559(a,2),3548(a,2,2)),flip(a)]. 3625 (x / T(y,x)) * T(y,y \ T(x,y)) = y * (T(x,y) / y). [para(3523(a,1),3562(a,1,1))]. 3626 (x * T(y,y \ x)) / T(y,z) = ((y * (x / y)) / T(y,z)) * y. [hyper(76,a,3565,a(flip),b,1484,a)]. 3627 K(x \ (x / y),x) \ x = T(x,y \ 1). [para(3567(a,2),2746(a,1,1))]. 3628 K(x,y) = T(y,((y * x) \ y) \ 1) \ y. [hyper(189,a,903,a,b,3568,a),flip(a)]. 3629 (T(x,y \ 1) \ x) \ (y * (T(y \ 1,x) * z)) = L(z,T(y \ 1,x),y). [para(3568(a,2),31(a,2,1)),flip(a)]. 3630 x * (T(x,y \ 1) \ x) = y * ((x \ (y \ x)) * x). [para(3568(a,2),2795(a,2,2)),flip(a)]. 3631 x * ((y \ x) \ x) = (y \ 1) \ x. [hyper(748,a,3584,a),flip(a)]. 3633 ((x / y) \ 1) \ x = x * (y \ x). [para(69(a,1),3631(a,1,2,1)),flip(a)]. 3634 (x * (y \ x)) / (x / y) = (x / y) * (x / (x / y)). [hyper(76,a,3633,a(flip),b,485,a)]. 3635 x / (x * (y \ x)) = (x / y) \ 1. [para(3633(a,1),67(a,1,2))]. 3636 (x / (x / y)) \ 1 = x / (x * y). [para(69(a,1),3635(a,1,2,2)),flip(a)]. 3637 1 / (x / (x * y)) = x / (x / y). [para(3636(a,1),67(a,1,2))]. 3638 x / (x / (x \ y)) = 1 / (x / y). [para(17(a,1),3637(a,1,2,2)),flip(a)]. 3639 (x / (x / y)) \ 1 != z | x / (x * y) = z. [para(3637(a,1),236(a,1,1)),flip(b)]. 3640 (1 / (x / y)) \ x = x / (x \ y). [para(3638(a,1),69(a,1,1))]. 3641 x / (x \ (y \ x)) = (1 / y) \ x. [para(67(a,1),3640(a,1,1,2)),flip(a)]. 3642 (x * (y \ x)) / (x / y) = (y \ x) * y. [hyper(189,a,1525,a,b,3588,a(flip)),flip(a)]. 3643 T(x / (x / y),x) = L(y,y \ x,y). [para(3589(a,1),565(a,1,1))]. 3644 T(T(x / (x / y),x),z) = L(T(y,z),y \ x,y). [para(3643(a,2),43(a,2,1)),flip(a)]. 3645 x * T(x / (x / y),x) = y * ((y \ x) * y). [para(3643(a,2),344(a,1,2))]. 3646 x * T(y,z) != y * L(z,y,z) | L(z,y,z) = x. [para(3604(a,1),23(a,1)),flip(a)]. 3648 T(x,x \ T(x * y,y)) = T(x,y). [para(3607(a,1),3332(a,1,2)),flip(a)]. 3649 K(x,x \ T(x * y,y)) = K(x,y). [para(3607(a,1),3520(a,1,2)),flip(a)]. 3650 K(x,y) = (x * R(y,x,y)) \ T(x * y,y). [hyper(189,a,3384,a,b,3649,a(flip))]. 3651 T(x,(y \ x) \ 1) = K(x \ y,x) \ x. [para(67(a,1),3627(a,1,1,1,2)),flip(a)]. 3652 K(x \ y,x) \ x = x * K(x,y / x). [hyper(3349,a,3651,a),flip(a)]. 3653 K(x \ y,x) \ 1 = K(x,y / x). [hyper(3066,a,3652,a)]. 3654 K(x,(x * y) / x) = K(y,x) \ 1. [para(16(a,1),3653(a,1,1,1)),flip(a)]. 3655 K(T(x,y),y) = K(y,x) \ 1. [hyper(189,a,3369,a,b,3654,a(flip)),flip(a)]. 3656 K(T(x,y),y) \ 1 = K(y,x). [para(143(a,1),3654(a,1,2)),flip(a)]. 3657 K(T(x,y),y) * K(y,x) = 1. [para(3656(a,1),17(a,1,2))]. 3658 R(x,K(x,y),z) = x. [para(3656(a,1),3488(a,1,2))]. 3659 (R(x,y,z) * K(x,u)) * w = R(x,y,z) * (K(x,u) * w). [para(3658(a,1),382(a,1,1,1)),flip(a)]. 3661 (x * K(x,y)) * y = x * (y * K(x,y)). [para(3658(a,1),2769(a,1,1)),flip(a)]. 3662 K(T(x,y),y) \ 1 != z | K(y,x) = z. [para(3657(a,1),237(a,1,2)),flip(b)]. 3663 K(x \ y,x) \ 1 != z | K(x,y / x) = z. [para(115(a,1),3662(a,1,1,1))]. 3664 K(T(x,T(y,x)),T(y,x)) != z | K(x,y) = z. [para(3655(a,2),3662(a,1))]. 3665 R(x,y,T(x,y)) = R(x,y,x). [hyper(21,a,383,a,b,3524,a),flip(a)]. 3666 ((x * y) * T(x,y)) / (x * y) != z | R(x,y,x) = z. [para(3524(a,1),248(a,1,1)),flip(b)]. 3667 x \ T(y * x,y) = R(y,x,y). [hyper(1055,a,3665,a)]. 3668 x * R(y,x,y) = T(y * x,y). [para(3665(a,1),1054(a,1,2))]. 3669 R(x,T(y,x),T(x,y)) = R(x,T(y,x),x). [para(3521(a,1),3665(a,1,3))]. 3670 R(x,x \ y,x) = (x \ y) \ T(y,x). [para(17(a,1),3667(a,1,2,1)),flip(a)]. 3671 (x * y) \ (x * T(z * y,z)) = L(R(z,y,z),y,x). [para(3667(a,1),104(a,1,1)),flip(a)]. 3672 x \ T(y * x,y) != z | R(y,x,y) = z. [para(3668(a,1),237(a,1,2)),flip(b)]. 3673 T(x * y,x) * T(x,y) = (x * y) * R(x,y,x). [para(3668(a,1),1666(a,1,1))]. 3674 R(x \ y,(x \ y) \ (y / (y / x)),x \ y) = ((x \ y) \ (y / (y / x))) \ x. [para(3573(a,1),3670(a,2,2))]. 3675 T(x,x \ T(x * y,y)) \ T(x * y,y) = R(y,x,y). [hyper(3539,a,3382,a)]. 3676 K(x,y) = T(y * x,y) \ T(x * y,y). [para(3668(a,1),3650(a,2,1))]. 3677 K(x \ T(x * y,x),x) = K(y,x). [hyper(189,a,1183,a(flip),b,3676,a),flip(a)]. 3678 K(x \ T(y,x),x) = K(x \ y,x). [para(17(a,1),3677(a,1,1,2,1))]. 3679 K(x \ ((x * y) / x),x) = K(x \ y,x). [para(142(a,1),3678(a,1,1,2)),flip(a)]. 3680 K(T(x,y) \ y,x) = K(x \ y,x). [para(3529(a,2),3678(a,1,1))]. 3681 L(x \ T(x,T(y,x)),T(y,x),x) != z | K(x,y) = z. [para(3368(a,2),3664(a,1))]. 3682 x * (((y * x) / y) \ z) = (T(y,x) \ y) * z. [para(3485(a,1),17(a,1,2))]. 3683 x \ (y * (T(y,x) \ y)) = ((y * x) / y) \ y. [para(2748(a,1),3485(a,1,2))]. 3684 x * ((K(y,x) \ 1) * z) = (K(y,x) \ x) * z. [para(3489(a,1),17(a,1,2))]. 3685 (x * (y / x)) / y = (x \ y) \ (y / x). [para(115(a,1),3504(a,1,1)),flip(a)]. 3686 (x * (y / x)) / y = x \ ((x \ y) \ y). [hyper(3339,a,3685,a(flip)),flip(a)]. 3687 x \ ((x \ (y \ x)) \ (y \ x)) = x \ T(x,y \ 1). [hyper(189,a,3376,a(flip),b,3686,a(flip))]. 3688 ((x \ 1) * (x \ T(x * y,x \ 1))) / (x \ 1) = ((x \ 1) \ y) * T(x \ 1,y). [para(768(a,2),3518(a,1,1,2))]. 3689 T(x \ 1,x * y) = ((x \ 1) \ y) \ y. [hyper(315,a,3612,a),flip(a)]. 3691 ((x \ 1) \ (x \ y)) \ (x \ y) = T(x \ 1,y). [para(17(a,1),3689(a,1,2)),flip(a)]. 3692 T(T(x,y),(z \ 1) * x) = T(T(x,y),z \ x). [hyper(189,a,41,a,b,3620,a)]. 3693 T(x,(x \ y) * T(x,y)) = T(x,y). [hyper(189,a,3508,a(flip),b,3622,a)]. 3694 R(T(x,y),x \ y,T(x,y)) = T(x,x \ y). [para(3693(a,1),1487(a,1,1))]. 3695 R(x \ T(x,y),y,((x * y) / x) \ z) \ z = (T(x,y) \ x) * z. [hyper(189,a,3296,a,b,3682,a(flip)),flip(a)]. 3696 x * K(((x * y) / x) \ x,y) = (x * ((y \ x) * y)) / x. [para(3683(a,1),3440(a,1,2,1))]. 3697 ((x * y) / x) \ x = y \ ((y * x) / y). [para(3544(a,2),3683(a,1,2)),flip(a)]. 3698 K(((x * y) / x) \ x,y) = K(y \ x,y). [para(3697(a,2),3679(a,1,1))]. 3699 (K(x,y) \ y) * z != y * u | (K(x,y) \ 1) * z = u. [para(3684(a,1),22(a,1))]. 3700 (x \ T(x,y)) \ z != u | x * (T(x,y) \ z) = u. [para(17(a,1),3494(a,1,2))]. 3702 T(x,y) \ (y * x) = T(T(y,x),x). [hyper(3574,a,3530,a)]. 3703 T(x,y) * T(T(y,x),x) = y * x. [para(3702(a,1),17(a,1,2))]. 3704 L(T(x,y),z,u) \ (y * L(x,z,u)) = T(T(y,L(x,z,u)),L(x,z,u)). [para(43(a,2),3702(a,1,1))]. 3705 R(K(x,y),x,z) = K(x,y). [hyper(189,a,3344,a,b,3496,a)]. 3707 (K(x,y) * x) * z = K(x,y) * (x * z). [para(3705(a,1),110(a,1,1)),flip(a)]. 3708 L(x,y,K(y,z)) = x. [hyper(346,a,3707,a)]. 3709 (x * K(x,y)) * z = K(x,y) * (x * z). [para(2650(a,1),3707(a,1,1))]. 3711 L(x,y,K(y,z)) = 1 * x. [hyper(189,a,14,a,b,3708,a)]. 3714 L(x,y,K(y,z)) != u | u = x. [para(3711(a,2),77(a,1))]. 3715 K(x,y) * (x * y) = x * (y * K(x,y)). [hyper(189,a,3661,a(flip),b,3709,a(flip))]. 3716 K(x,y) \ (x * (y * K(x,y))) != y * z | T(x,y) = z. [para(3715(a,1),291(a,1,2))]. 3717 ((x \ y) / y) \ T((x \ y) / y,z) = x * T(x \ 1,z). [hyper(917,a,3498,a),flip(a)]. 3719 T(x,y) * T(y,y * x) = L(y,x,y) * T(x,y). [para(554(a,1),3534(a,1,2))]. 3720 T(x,y) * T(y,y * x) = x * L(y,x,y). [hyper(189,a,3604,a(flip),b,3719,a)]. 3722 T(x,y) * T(y,x * y) = x * L(y,x,y). [para(3507(a,2),3720(a,1,2))]. 3723 L(x,T(y,x),x) * T(y,x) = y * L(x,y,x). [hyper(189,a,564,a,b,3722,a(flip)),flip(a)]. 3724 L(x,T(y,x),x) = L(x,y,x). [hyper(3646,a,3723,a),flip(a)]. 3725 T(x * L(y,x,y),y) = T(x,y) * y. [para(3723(a,1),3598(a,1,1))]. 3726 ((x * (y * x)) / x) / y = L(x,T(y,x),x). [hyper(189,a,3595,a,b,3724,a),flip(a)]. 3727 L(x,T(y,y * x),x) = L(x,L(y,x,y),x). [para(557(a,1),3724(a,1,2))]. 3728 (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(3535(a,1),150(a,1,1,2))]. 3729 R(x,y,x) * T(x * y,x) = T(x * y,x) * T(x,y). [para(3513(a,1),3535(a,1,2)),flip(a)]. 3730 R(x,x \ y,x) * T(y,x) = T(y,x) * T(x,x \ y). [para(3517(a,1),3535(a,1,2)),flip(a)]. 3731 R(x,y / x,x) * T(y,x) = T(y,x) * T(x,x \ y). [para(3561(a,1),3535(a,1,2)),flip(a)]. 3732 T(x,y) * (T(y,x) / x) = x * (y / x). [para(1178(a,1),3581(a,1,2))]. 3733 T(x,y) * (y / T(x,y)) = x * (y / x). [para(3523(a,1),3732(a,1,2))]. 3734 K(x * y,T(y,x)) = K(y * x,y). [hyper(240,a,3592,a),flip(a)]. 3735 K(x * y,T(y,x)) != z | K(y * x,y) = z. [para(3592(a,1),240(a,1))]. 3736 x \ T(x,T(y,y \ x) \ 1) = K(x,y \ 1). [para(3610(a,1),3593(a,1,2,2,1))]. 3737 T(x,T(y,y \ x) \ 1) = x * K(x,y \ 1). [para(3736(a,1),17(a,1,2)),flip(a)]. 3738 K(x,(y \ x) / x) = K(x,y \ 1). [hyper(3396,a,3737,a)]. 3739 K(x \ ((x \ 1) \ y),x) = K(y,(x \ 1) \ 1). [hyper(189,a,3415,a,b,3738,a(flip)),flip(a)]. 3740 K(x \ ((x \ 1) \ y),x) = K(y,x). [hyper(189,a,3081,a(flip),b,3739,a)]. 3741 K(x \ ((1 / x) \ y),x) = K(y,x). [hyper(189,a,3096,a,b,3740,a(flip)),flip(a)]. 3742 K((1 / x) * y,x) = K(x \ y,x). [para(16(a,1),3741(a,1,1,2)),flip(a)]. 3743 K((x \ 1) \ y,x \ 1) = K(x * y,x \ 1). [para(67(a,1),3742(a,1,1,1)),flip(a)]. 3744 (x / y) * (x / (x / y)) = (y \ x) * y. [hyper(189,a,3642,a(flip),b,3634,a(flip))]. 3745 ((x \ y) * x) * x = y * (y / (y / x)). [para(3744(a,1),1603(a,1,1))]. 3746 ((x \ T(y,x)) * T(x,y)) * T(x,y) = y * (y / (y / T(x,y))). [para(3529(a,1),3745(a,1,1,1))]. 3747 R(K(x,y),x,z) != u | K(x,y) = u. [para(3496(a,2),3681(a,1))]. 3748 (x \ T(x,y \ 1)) * x = T(x,x \ (y \ x)). [para(3687(a,1),2812(a,1,1))]. 3749 T(x,x \ (y \ x)) = T(x,y \ 1). [hyper(2803,a,3748,a),flip(a)]. 3750 T(x * y,(x * y) \ y) = T(x * y,x \ 1). [para(16(a,1),3749(a,1,2,2))]. 3751 T(x,(x / y) \ 1) = T(x,x \ y). [para(69(a,1),3749(a,1,2,2)),flip(a)]. 3752 (x \ (y \ x)) * T(x,y \ 1) = y \ x. [para(3749(a,1),145(a,1,2))]. 3754 (x / y) \ T(x,x \ y) = x * (y / x). [para(3751(a,1),3363(a,1,2))]. 3755 (x \ ((y \ 1) \ x)) * T(x,y) = (y \ 1) \ x. [para(2671(a,1),3752(a,1,2))]. 3756 (x * T(x \ (T(x,x \ y) * y),z)) / y = (x / y) * T(x * (y / x),z). [para(3754(a,1),1458(a,2,2,1))]. 3757 T(x * y,x \ 1) = ((x * y) \ y) \ y. [hyper(315,a,3750,a),flip(a)]. 3758 x / T(y * x,y \ 1) = (y * x) \ x. [para(3750(a,1),174(a,1,2))]. 3759 T((x \ 1) * y,x) = (((x \ 1) * y) \ y) \ y. [hyper(189,a,2671,a(flip),b,3757,a(flip)),flip(a)]. 3760 T(L(L(x,y,x),z,u) * y,x) = L(x,z,u) * T(y,x). [para(3514(a,1),1626(a,1,1))]. 3761 T(x,y) \ T(x * y,y) = R(y,x,y). [para(3648(a,1),3675(a,1,1))]. 3762 (x \ (y * x)) \ T(y * x,x) = R(x,y,x). [para(35(a,1),3761(a,1,1))]. 3763 R(x,y,x) * T(x * y,x) = (x * y) * R(x,y,x). [hyper(189,a,3673,a(flip),b,3729,a)]. 3764 (R(x,y,x) * y) \ ((x * y) * R(x,y,x)) = L(R(x,y,x),y,R(x,y,x)). [para(3763(a,1),3671(a,1,2))]. 3766 R(x,y / x,x) = R(x,x \ y,x). [hyper(21,a,3730,a,b,3731,a)]. 3767 R(x,(x * y) / x,x) = R(x,y,x). [para(16(a,1),3766(a,2,2))]. 3768 R(x,x \ y,x) * y = (x * (y / x)) * x. [para(3766(a,1),375(a,1,1))]. 3769 R(x,T(y,x),x) = R(x,y,x). [para(143(a,1),3767(a,1,2)),flip(a)]. 3770 R(x,T(y,x),T(x,y)) = R(x,y,x). [hyper(189,a,3669,a,b,3769,a(flip)),flip(a)]. 3771 R(T(x,y),T(z,x),T(x,z)) = T(R(x,z,x),y). [para(3770(a,1),45(a,2,1))]. 3772 R(R(x,y,z),T(u,x),T(x,u)) = R(R(x,u,x),y,z). [para(3770(a,1),49(a,1,1)),flip(a)]. 3774 R(T(x,y),T(z,x),T(x,z)) = R(T(x,y),z,x). [hyper(189,a,45,a,b,3771,a)]. 3775 R(T(T(x,y),z),T(u,x),T(x,u)) = T(R(T(x,y),u,x),z). [para(3774(a,1),45(a,2,1))]. 3777 (x * ((y \ x) * y)) / x = x * K(y \ x,y). [para(3698(a,1),3696(a,1,2)),flip(a)]. 3778 T(x,(y \ x) * y) = x. [hyper(3407,a,3777,a)]. 3780 T(x,y * (x / y)) = x. [para(69(a,1),3778(a,1,2,1))]. 3781 T(T(x,y),z * (x / z)) = T(x,y). [para(3780(a,1),41(a,1,1)),flip(a)]. 3782 T(x,T((y \ z) / z,x)) = (y * T(y \ 1,x)) \ x. [para(3717(a,1),3302(a,1,1)),flip(a)]. 3783 T(x,T((y \ z) / z,x)) = T(x,T(y \ 1,x)). [hyper(189,a,3308,a(flip),b,3782,a)]. 3784 T(x,T(y \ 1,x)) = T(x,(y \ z) / z). [hyper(3594,a,3783,a),flip(a)]. 3785 T(x,(y \ z) / z) = T(x,y \ 1). [hyper(3594,a,3784,a),flip(a)]. 3786 T(x,y / (z * y)) = T(x,z \ 1). [para(16(a,1),3785(a,1,2,1))]. 3787 T(x,(y / z) \ 1) = T(x,z / y). [para(69(a,1),3785(a,1,2,1)),flip(a)]. 3793 T(x \ T(x,(y * z) / z),T(y,u)) = R(x \ T(x,y),y,z). [para(3787(a,1),3436(a,1,1,2))]. 3794 R(T(T(x,y),z),T(u,x),T(x,u)) = R(T(T(x,y),z),u,x). [hyper(189,a,45,a,b,3775,a)]. 3795 (R(x,y,z) * T(u,x)) * T(x,u) = R(R(x,u,x),y,z) * (u * x). [para(3772(a,1),3579(a,1,1)),flip(a)]. 3796 T(x \ T(x,y),T(y,z)) = R(x \ T(x,y),y,u). [para(18(a,1),3793(a,1,1,2,2))]. 3797 R(x \ T(x,y),y,z) = x \ T(x,y). [hyper(189,a,2784,a(flip),b,3796,a(flip))]. 3798 (x \ T(x,y)) \ (((x * y) / x) * z) = y * z. [para(3797(a,1),3295(a,1,1))]. 3799 L(x,y \ 1,(z * y) / z) = y * ((y \ 1) * x). [hyper(3310,a,3798,a)]. 3800 (x \ T(x,x \ y)) \ y = (x \ y) * x. [para(71(a,1),3798(a,1,2))]. 3803 (x \ ((x \ y) \ y)) \ y = (x \ y) * x. [para(114(a,1),3800(a,1,1,2))]. 3804 x / ((y \ x) * y) = y \ ((y \ x) \ x). [para(3803(a,1),67(a,1,2))]. 3805 (x * (y / x)) / y = y / ((x \ y) * x). [hyper(189,a,3686,a,b,3804,a),flip(a)]. 3806 L(x,y \ 1,(z * y) / z) = L(x,y \ 1,y). [hyper(189,a,166,a(flip),b,3799,a)]. 3807 L(x,y \ 1,y * K(z,y)) = L(x,y \ 1,y). [para(3395(a,1),3806(a,1,3))]. 3808 L((x \ 1) \ y,x \ 1,x * K(z,x)) = x * y. [hyper(189,a,362,a(flip),b,3807,a)]. 3809 K(x,y) * (z * T(z \ (y * z),u)) = (K(x,y) * T(y,u)) * z. [para(3808(a,1),2862(a,1,2,2,1,2))]. 3810 T(x,y \ 1) * (x \ (y * z)) = y * (T(x,y \ 1) * (x \ z)). [para(3476(a,1),3490(a,2,2))]. 3811 T(x,y) * (T(x,x \ 1) \ z) = ((x \ 1) * T(x,y)) * z. [para(2497(a,1),3491(a,1,2))]. 3812 (((x \ 1) \ 1) * T(x \ 1,y)) * z = T(1 / x,y) * ((x \ 1) \ z). [hyper(189,a,3003,a(flip),b,3811,a(flip))]. 3813 (T(x,y) * (y * x)) / T(x,y) != z | T(x,y * x) * T(y,x) = z. [para(3575(a,2),3537(a,1))]. 3814 ((x * (y / x)) / T(x,z)) * x = (y / T(x,z)) * T(x,x \ y). [hyper(189,a,2125,a(flip),b,3626,a(flip))]. 3815 x * T(y,z) != z * (z / (z / T(y,z))) | (y \ T(z,y)) * T(y,z) = x. [para(3746(a,1),23(a,1)),flip(a)]. 3816 (K(x,y) * T(y,z)) * u = K(x,y) * (T(y,z) * u). [para(322(a,1),3809(a,1,2)),flip(a)]. 3818 L(x,T(y,z),K(u,y)) = x. [hyper(346,a,3816,a)]. 3819 L(x,y,K(z,y)) = x. [para(112(a,1),3818(a,1,2))]. 3820 (K(x,y) * y) * z = K(x,y) * (y * z). [para(3819(a,1),102(a,1,2))]. 3821 L(x,y,T(y,z) \ y) = x. [para(2744(a,1),3819(a,1,3))]. 3822 L(x,T(y,z) \ y,y) = y * (y \ x). [para(3821(a,1),3428(a,1,2)),flip(a)]. 3823 L(x,T(y,z) \ y,y) = x. [hyper(189,a,17,a(flip),b,3822,a)]. 3827 L(x,K(y,z),z) = x. [para(3628(a,2),3823(a,1,2))]. 3828 (x * K(y,x)) * z = x * (K(y,x) * z). [para(3827(a,1),102(a,1,2))]. 3829 (x * (K(y,x) * z)) / z = x * K(y,x). [para(3827(a,1),128(a,1,2))]. 3831 R(K(x,y),y,z) = K(x,y). [hyper(376,a,3820,a)]. 3832 (x * K(y,x)) * z = K(y,x) * (x * z). [para(2754(a,1),3820(a,1,1))]. 3833 R(x,K(y,x),z) = x. [hyper(376,a,3828,a)]. 3834 (x * (K(y,x) * z)) \ ((x * K(y,x)) * (z * u)) = L(u,z,x * K(y,x)). [para(3828(a,1),31(a,2,1)),flip(a)]. 3835 R(T(x,y),K(z,x),u) = T(x,y). [para(3833(a,1),45(a,2,1))]. 3836 x * (K(y,x) * z) != u | (x * K(y,x)) * z = u. [para(3833(a,1),204(a,1,1))]. 3837 (T(x,y) * K(z,x)) * u = T(x,y) * (K(z,x) * u). [para(3833(a,1),380(a,1,1,1)),flip(a)]. 3838 R(T(x,((x * y) \ x) \ K(y,x)),K(z,x),u) = K(y,x) \ x. [hyper(189,a,3394,a(flip),b,3835,a)]. 3839 K(x,y) \ (z * (y * K(x,y))) = y * T(z,y * K(x,y)). [hyper(428,a,3832,a)]. 3840 (x * K(y,x)) * (x \ z) = K(y,x) * z. [hyper(189,a,89,a(flip),b,3832,a)]. 3841 K(x,y) * (y * z) = y * (K(x,y) * z). [hyper(189,a,3828,a(flip),b,3832,a(flip))]. 3844 x * (K(y,x) * (x \ z)) != u | K(y,x) * z = u. [para(3841(a,1),254(a,1))]. 3846 (x * (K(y,x) * z)) \ (K(y,x) * (x * (z * u))) = L(L(u,z,x),x * z,K(y,x)). [para(3841(a,1),348(a,1,1))]. 3847 R(x,y,z) * (K(u,R(x,y,z)) * (y * z)) != w | K(u,R(x,y,z)) * ((x * y) * z) = w. [para(133(a,1),3844(a,1,2,2))]. 3849 T(x,y * K(x,y)) = T(x,y). [hyper(3716,a,3839,a),flip(a)]. 3850 T(L(L(x * K(y,x),y,x * K(y,x)),z,u) * y,x * K(y,x)) = L(x * K(y,x),z,u) * T(y,x). [para(3849(a,1),3760(a,2,2))]. 3851 R(K(x,y) \ y,K(z,y),u) = K(x,y) \ y. [para(3394(a,1),3838(a,1,1))]. 3852 (x * y) / (K(z,x) * y) = K(z,x) \ x. [hyper(189,a,2859,a(flip),b,3851,a(flip)),flip(a)]. 3854 (K(x,y) \ y) * (K(x,y) * z) = y * z. [para(3852(a,1),19(a,1,1))]. 3855 (K(x,y) \ 1) * (K(x,y) * z) = z. [hyper(3699,a,3854,a)]. 3856 L(x,K(y,z) \ 1,K(y,z)) = x. [hyper(1912,a,3855,a)]. 3858 (K(x,y) \ 1) \ z = K(x,y) * z. [hyper(80,a,3855,a)]. 3860 (K(x,y) \ 1) \ z != u | K(x,y) * z = u. [para(3855(a,1),237(a,1,2)),flip(b)]. 3862 x * (1 / K(y,z)) = x / K(y,z). [hyper(1893,a,3858,a)]. 3863 (K(x,y) \ z) \ z = T(K(x,y),z). [hyper(147,a,3858,a(flip),b,3631,a),flip(a)]. 3865 x * (K(y,z) \ 1) = x / K(y,z). [para(2004(a,1),3862(a,1,2))]. 3866 x / T(K(y,z),x) = K(y,z) \ x. [para(3863(a,1),67(a,1,2))]. 3867 (x * y) \ (y * x) = K(x,y) \ 1. [hyper(75,a,127,a(flip),b,3865,a)]. 3868 (x * K(y,z)) \ x = K(y,z) \ 1. [hyper(75,a,18,a(flip),b,3865,a)]. 3870 (K(x,y) \ z) * K(x,y) = T(z,K(x,y)). [para(3866(a,1),3522(a,1,1))]. 3871 K(x,y) \ 1 = K(y,x). [hyper(240,a,3867,a),flip(a)]. 3872 K(x,y) \ 1 != z | K(y,x) = z. [para(3867(a,1),240(a,1))]. 3873 K(x,y / x) = K(x,x \ y). [hyper(3663,a,3871,a)]. 3874 K(x,T(y,x)) = K(x,y). [hyper(3662,a,3871,a),flip(a)]. 3875 1 / K(x,y) = K(y,x). [hyper(2006,a,3871,a)]. 3876 K(T(x,y),y) = K(x,y). [hyper(189,a,3655,a,b,3871,a(flip)),flip(a)]. 3877 (x * K(y,x)) \ x = K(x,y). [hyper(189,a,3069,a,b,3871,a(flip)),flip(a)]. 3878 K(x,y) * K(y,x) = 1. [para(3871(a,1),17(a,1,2))]. 3879 x * K(y,z) != 1 | K(z,y) = x. [para(3871(a,1),87(a,1,2)),flip(b)]. 3880 1 / K(x,y) != z | K(y,x) = z. [para(3871(a,1),246(a,1,2)),flip(b)]. 3882 (x * y) \ ((y * x) * T(K(x,y),z)) = K(y,x) * T(K(x,y),z). [para(3871(a,1),1412(a,2,2,1))]. 3884 K(x,y) \ x = x * K(y,x). [para(3871(a,1),2985(a,1,2)),flip(a)]. 3885 K(x,T(y,x)) != z | K(x,y) = z. [para(3871(a,1),3662(a,1))]. 3887 K(x,y) * (K(y,x) * z) = z. [para(3871(a,1),3855(a,1,1))]. 3888 L(x,K(y,z),K(z,y)) = x. [para(3871(a,1),3856(a,1,2))]. 3889 K(x,y) \ z = K(y,x) * z. [para(3871(a,1),3858(a,1,1))]. 3890 x / K(y,z) = x * K(z,y). [para(3871(a,1),3865(a,1,2)),flip(a)]. 3891 K(x,x \ (y * x)) = K(x,y). [para(35(a,1),3874(a,1,2))]. 3893 K(x,R(y / x,z,u)) = K(x,R(x \ y,z,u)). [para(163(a,1),3874(a,1,2)),flip(a)]. 3894 K(x,y) * z != 1 | K(y,x) = z. [para(3875(a,1),82(a,1,1)),flip(b)]. 3895 K(x \ (y * x),x) = K(y,x). [para(35(a,1),3876(a,1,1))]. 3896 K(x / y,y) = K(y \ x,y). [para(115(a,1),3876(a,1,1)),flip(a)]. 3898 K(R(x \ y,x,z),x) = K((y * z) / (x * z),x). [para(518(a,1),3876(a,1,1))]. 3899 K(R(x,y,x),y * x) = K(T(x,y),y * x). [para(613(a,1),3876(a,1,1)),flip(a)]. 3900 (x * K(y,x)) \ 1 = x \ K(x,y). [hyper(75,a,3878,a(flip),b,3840,a)]. 3902 x \ (y * (x / y)) = K(y,y \ x). [hyper(189,a,98,a,b,3873,a(flip)),flip(a)]. 3903 x * K(y,y \ x) = y * (x / y). [para(3873(a,1),214(a,1,2))]. 3904 L(x * K(y,x),K(x,y),z) = (z * K(x,y)) \ (z * x). [para(3884(a,1),104(a,1,1))]. 3905 x / (K(y,z) * x) = K(z,y). [hyper(88,a,3887,a)]. 3906 K(x,y) * (K(x,z) * K(y,x)) = K(x,z). [hyper(20,a,1959,a(flip),b,3887,a)]. 3907 K(x,y) * z != u | K(y,x) * u = z. [para(3887(a,1),22(a,1)),flip(a)]. 3909 K(x,y) \ z != u | K(y,x) * z = u. [para(3887(a,1),237(a,1,2)),flip(b)]. 3910 x / (K(y,z) * x) != u | K(z,y) = u. [para(3887(a,1),248(a,1,1)),flip(b)]. 3912 L(L(x,y,K(z,u)),K(z,u) * y,K(u,z)) = y \ (K(u,z) * (K(z,u) * (y * x))). [para(3887(a,1),348(a,1,1)),flip(a)]. 3913 x \ (K(y,z) \ x) = T(K(z,y),x). [hyper(75,a,3889,a,b,113,a)]. 3914 K(x,y) * (K(y,x) * z) != u | u = z. [para(3889(a,1),203(a,1,2))]. 3915 L(K(x,y) * (z \ u),K(y,x),z) = (z * K(y,x)) \ u. [para(3889(a,1),183(a,1,1))]. 3917 (K(x,y) * z) \ z = T(K(y,x),z). [para(3889(a,1),3863(a,1,1))]. 3918 (x * K(y,z)) \ x = K(z,y). [hyper(406,a,3890,a)]. 3919 (x * K(y,z)) * K(z,y) = x. [hyper(248,a,3890,a)]. 3921 (x * K(y,z)) * K(z,y) != u | u = x. [para(3890(a,1),200(a,1,1))]. 3922 (x * K(y,z)) \ x != u | K(z,y) = u. [para(3890(a,1),236(a,1,1)),flip(b)]. 3924 R((x / y) * K(z,u),K(u,z),y) = x / (K(u,z) * y). [para(3890(a,1),187(a,1,1))]. 3925 T(x * (y * K(z,u)),L(K(u,z),y / K(u,z),x)) = L(K(u,z),y / K(u,z),x) \ (x * y). [para(3890(a,1),599(a,1,1,2))]. 3926 (x * (y / x)) \ y = K(x \ y,x). [hyper(189,a,99,a,b,3896,a(flip)),flip(a)]. 3929 x * K(y,z) != u | u * K(z,y) = x. [para(3918(a,1),87(a,1,2)),flip(b)]. 3930 x / K(y,z) != u | x * K(z,y) = u. [para(3918(a,1),246(a,1,2)),flip(b)]. 3931 ((x * K(y,z)) \ x) \ u = K(y,z) * u. [para(3918(a,2),3889(a,1,1))]. 3932 T(x * K(y,z),K(z,y)) = K(y,z) * x. [hyper(147,a,3919,a,b,3887,a)]. 3934 x * L(y,K(z,u),x * K(u,z)) = (x * K(u,z)) * (K(z,u) * y). [para(3919(a,1),102(a,1,1))]. 3935 (x * y) \ ((x * (y * K(z,u))) * K(u,z)) != w | a(x,y * K(z,u),K(u,z)) = w. [para(3919(a,1),553(a,1,1,2))]. 3938 K(T(x,y),y) != z | K(x,y) = z. [para(3655(a,2),3872(a,1))]. 3940 K(x,x \ (y * x)) != z | K(x,y) = z. [para(35(a,1),3885(a,1,2))]. 3941 K(T(x,x * y),y) != z | K(L(x,y,x),y) = z. [para(557(a,1),3938(a,1,1))]. 3942 K(R(T(x,y * z),y,z),y) != u | K((y * z) \ ((y * x) * z),y) = u. [para(832(a,1),3938(a,1,1))]. 3943 x / (K(y,z) \ 1) != u | x * K(y,z) = u. [para(3868(a,1),246(a,1,2)),flip(b)]. 3944 K(((x / y) \ 1) \ y,(x / y) \ 1) = K(x,x \ y). [hyper(3398,a,3902,a)]. 3946 (x * (y / x)) * K(x \ y,x) = y. [hyper(21,a,3919,a,b,3903,a),flip(a)]. 3947 K(x,x \ y) * z != x * (y / x) | T(y,K(x,x \ y)) = z. [para(3903(a,1),148(a,2))]. 3948 L(K(x,x \ y) \ z,K(x,x \ y),y) = (x * (y / x)) \ (y * z). [para(3903(a,1),104(a,2,1))]. 3949 (K(x,y) * z) * T(K(y,x),z) = z. [para(3917(a,1),17(a,1,2))]. 3950 (K(x,y) * z) * u != z | T(K(y,x),z) = u. [para(3949(a,1),22(a,1)),flip(a)]. 3951 T(x,K(y,z)) != u | K(z,y) * (x * K(y,z)) = u. [para(35(a,2),3909(a,1))]. 3952 K(x,y) != z | K(y,x) \ 1 = z. [para(62(a,1),3914(a,1)),flip(b)]. 3953 x * K(y,z) != u | x / K(z,y) = u. [para(19(a,1),3921(a,1,1)),flip(b)]. 3955 T(K(x,y) * z,K(x,y)) = z * K(x,y). [para(16(a,1),3870(a,1,1)),flip(a)]. 3956 (K(x,y) * z) * K(y,x) = T(z,K(y,x)). [para(3889(a,1),3870(a,1,1))]. 3957 K(x,y) * T(K(y,x) * z,u) != w | T(z * K(y,x),u) * K(x,y) = w. [para(3932(a,1),302(a,1,2,1))]. 3958 T(x,K(y,z)) * K(z,y) = K(z,y) * x. [hyper(3929,a,3956,a)]. 3959 T(T(x,K(y,z)),K(z,y)) = x. [hyper(147,a,3958,a,b,xx)]. 3963 K(x,y) * K(z,y) = K(z,y) * K(x,y). [para(1958(a,1),3958(a,1,1))]. 3964 K(x,y) * (y * K(z,y)) = (y * K(z,y)) * K(x,y). [para(3419(a,1),3958(a,1,1)),flip(a)]. 3965 K(R(x \ (y / z),x,y / (y / z)),x) = K(((z \ y) * z) / (x * (y / (y / z))),x). [para(3744(a,1),3898(a,2,1,1))]. 3968 (x * K(y,x)) \ z = K(x,y) * (x \ z). [hyper(189,a,3827,a(flip),b,3915,a(flip))]. 3969 K(x,y) * (x \ 1) = x \ K(x,y). [hyper(189,a,3900,a(flip),b,3968,a(flip))]. 3970 (x \ 1) / (x \ K(x,y)) = K(y,x). [para(3969(a,1),3905(a,1,2))]. 3971 (x \ 1) / (x \ K(x,y)) != z | K(y,x) = z. [para(3969(a,1),3910(a,1,2))]. 3972 (x / T(y,x)) * T(y,y \ x) = T(y * (x / y),y). [hyper(189,a,3552,a(flip),b,3814,a(flip))]. 3973 (x / T(y,x)) * T(y,y \ x) = y * (T(x,y) / y). [hyper(189,a,1176,a(flip),b,3972,a)]. 3974 T(x,x \ T(y,x)) = T(x,x \ y). [hyper(20,a,3625,a,b,3973,a),flip(a)]. 3975 T(x,y) / T(y,y \ x) = y \ T(x,y). [para(3974(a,1),174(a,1,2))]. 3976 T(x,T(x,y) \ y) = T(x,x \ y). [para(3529(a,2),3974(a,1,2))]. 3977 T(x * y,x) / T(x,y) = x \ T(x * y,x). [para(16(a,1),3975(a,1,2,2))]. 3978 (x \ T(x,y)) \ z = (T(x,y) \ x) * z. [para(3797(a,1),3695(a,1,1))]. 3979 (T(x,y) \ x) * z = x * (T(x,y) \ z). [hyper(3700,a,3978,a),flip(a)]. 3980 (T(x,y) \ x) * (T(x,y) * z) = x * z. [hyper(3494,a,3978,a),flip(a)]. 3981 (x \ T(x,y)) \ z = T(y,x) * (y \ z). [hyper(189,a,3571,a,b,3978,a)]. 3987 (T(x,y) \ x) \ z = T(x,y) * (x \ z). [hyper(75,a,17,a(flip),b,3980,a)]. 3988 T(x,y) * (x \ (T(y,x) * z)) = y * z. [hyper(189,a,3571,a,b,3980,a(flip)),flip(a)]. 3989 ((x * y) / x) \ (T(x,y) * z) = y \ (x * z). [hyper(75,a,3980,a(flip),b,3682,a),flip(a)]. 3991 T(x,y) * (T(y,x) * z) = x * (y * z). [para(3980(a,1),3546(a,1,2)),flip(a)]. 3992 x \ (((y * x) / y) * z) = T(x,y) \ (x * z). [hyper(75,a,3798,a(flip),b,3981,a(flip)),flip(a)]. 3993 T(x,y) * (T(y,x) * z) = (x * y) * L(z,y,x). [hyper(189,a,102,a,b,3991,a)]. 3994 (x * y) \ (x * (y * z)) = L(z,T(y,x),T(x,y)). [para(3991(a,1),3577(a,1,2))]. 3995 (x * (y * z)) \ ((x * y) * z) = a(T(x,y),T(y,x),z). [para(3991(a,1),3576(a,1,1))]. 3997 x \ (y * ((y \ x) * z)) = L(z,y \ x,T(y,x)). [hyper(3321,a,3989,a),flip(a)]. 3998 x \ (((y * x) / y) * z) = x * (T(x,y) \ z). [hyper(189,a,1000,a(flip),b,3992,a)]. 3999 ((x * y) / x) * (y \ z) = y * (T(y,x) \ z). [hyper(189,a,1105,a(flip),b,3998,a(flip)),flip(a)]. 4000 x * (T(x,y) \ x) != z | (y * x) / y = z. [para(3999(a,1),138(a,1))]. 4001 (x * y) \ (T(x,y) * z) = L(T(y,x) \ z,y,x). [hyper(432,a,3993,a)]. 4002 L(T(x,y) \ 1,x,y) = (y * x) \ T(y,x). [hyper(299,a,3993,a),flip(a)]. 4003 T(x,y) * (T(y,x) * z) != u | x * (y * z) = u. [para(3993(a,2),207(a,1))]. 4004 L(x,T(y,z),T(z,y)) = L(x,y,z). [hyper(355,a,3994,a),flip(a)]. 4005 L(x,y \ z,T(y,z / y)) = L(x,z / y,y). [para(115(a,1),4004(a,1,2))]. 4006 L(x,y \ z,T(y,z)) = L(x,y \ z,y). [hyper(577,a,3997,a),flip(a)]. 4007 (x * (y / x)) \ (T(x,y / x) * z) = L((x \ y) \ z,y / x,x). [para(115(a,1),4001(a,2,1,1))]. 4008 T(x,T(y,x)) * (T(y,x) * z) != u | x * (y * z) = u. [para(3521(a,2),4003(a,1,1))]. 4009 a(T(x,y),T(y,x),z) = a(x,y,z). [hyper(553,a,3995,a),flip(a)]. 4010 a(T(x,y),T(y,x),z) != u | a(x,y,z) = u. [para(3995(a,1),553(a,1))]. 4011 (R(x,y,z) * T(u,x)) * T(x,u) = (R(x,y,z) * u) * x. [hyper(189,a,382,a(flip),b,3795,a)]. 4012 T(x * y,x) * T(x,y) = (R(x,y,x) * y) * x. [para(930(a,1),4011(a,1,1))]. 4013 (R(x,y,x) * y) * x = (x * y) * R(x,y,x). [hyper(189,a,3673,a(flip),b,4012,a(flip))]. 4014 (R(x,y,x) * y) \ ((x * y) * R(x,y,x)) != z | z = x. [para(4013(a,1),237(a,1,2))]. 4015 L(K(x \ y,x) * z,K(x,x \ y),y) = (x * (y / x)) \ (y * z). [para(3889(a,1),3948(a,1,1))]. 4016 (x * (y / x)) \ (T(x,x \ y) * z) = L((x \ y) \ z,y / x,x). [para(3533(a,1),4007(a,1,2,1))]. 4017 K(x \ 1,x) * T(y,x) = x * (T((x \ 1) \ 1,y) \ y). [para(2671(a,1),3554(a,1,2))]. 4018 T(x * K(y \ 1,y),y) = y * (T((y \ 1) \ 1,x) \ x). [hyper(189,a,2493,a,b,4017,a(flip)),flip(a)]. 4019 ((T((x \ 1) \ 1,y) \ x) * T((x \ 1) \ 1,y)) * (T((x \ 1) \ 1,y) \ y) = y * T(y \ T(y * K(x \ 1,x),x),T((x \ 1) \ 1,y)). [para(4018(a,2),1244(a,2,2,1,2))]. 4020 (x * T(y,x)) / T((x \ y) * x,x) = T(x,T(x,y) \ y). [para(3525(a,1),3624(a,1,1,2))]. 4021 (x * y) / T((y \ x) * y,y) = T(y,T(y,x) \ x). [para(113(a,1),4020(a,1,1))]. 4022 (x * y) / T((y \ x) * y,y) = T(y,y \ x). [hyper(189,a,3976,a(flip),b,4021,a)]. 4023 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(3704(a,2),333(a,1))]. 4024 T(1 / x,y) * ((x \ 1) \ z) = (x * T(1 / x,y)) * z. [para(2699(a,1),3812(a,1,1)),flip(a)]. 4025 (T(1 / x,y) * z) / ((x * T(1 / x,y)) * z) = x \ 1. [para(4024(a,1),3012(a,1,2))]. 4026 T(1 / x,y) * ((x * T(1 / x,y)) \ z) = (x \ 1) * z. [para(4025(a,1),210(a,1,1)),flip(a)]. 4027 T(x,y \ 1) * (x \ (y * (T(y \ 1,x) * z))) = L(z,T(y \ 1,x),y). [hyper(189,a,3987,a(flip),b,3629,a(flip)),flip(a)]. 4028 L(R(x,y,x),y,R(x,y,x)) = x. [hyper(4014,a,3764,a)]. 4029 (x * (K(y,x) * z)) \ (x * (K(y,x) * (z * u))) = L(u,z,x * K(y,x)). [para(3828(a,1),3834(a,1,2))]. 4030 x * (T(y,x \ 1) * (y \ (T(x \ 1,y) * z))) = L(z,T(x \ 1,y),x). [hyper(189,a,3810,a(flip),b,4027,a(flip)),flip(a)]. 4031 L(x,T(y \ 1,z),y) = y * ((y \ 1) * x). [para(3988(a,1),4030(a,1,2)),flip(a)]. 4032 L(x,T(y \ 1,z),y) = L(x,y \ 1,y). [hyper(189,a,166,a(flip),b,4031,a)]. 4034 L(T(1 / x,y) \ z,x \ 1,x) = (x * T(1 / x,y)) \ (x * z). [hyper(189,a,3210,a(flip),b,4032,a(flip))]. 4036 T((x \ 1) * (x * ((y * z) / y)),y) = T(1 / x,y) * ((x * T(1 / x,y)) \ (x * z)). [para(4034(a,1),3047(a,2,2))]. 4037 (x * T(T(x,x \ y) * (x \ y),z)) / y = (x / y) * T(x * (y / x),z). [para(975(a,1),3756(a,1,1,2,1))]. 4038 (x * T(x * (y / x),z)) / y = (x / y) * T(x * (y / x),z). [para(3336(a,1),4037(a,1,1,2,1))]. 4039 ((x \ 1) \ y) * T(x \ 1,y) = (y / x) / (x \ 1). [para(784(a,1),3688(a,1,1)),flip(a)]. 4040 (x * (K(y,x) * z)) \ (x * (K(y,x) * (z * u))) = L(L(u,z,x),x * z,K(y,x)). [para(3841(a,1),3846(a,1,2))]. 4041 L(L(x,y,K(z,u)),K(z,u) * y,K(u,z)) = y \ (y * x). [para(3887(a,1),3912(a,2,2))]. 4042 L(L(x,y,K(z,u)),K(z,u) * y,K(u,z)) != w | w = x. [para(4041(a,2),237(a,1))]. 4044 L(L(x,y,z),z * y,K(u,z)) = L(x,y,z * K(u,z)). [hyper(189,a,4029,a(flip),b,4040,a(flip))]. 4045 T((x \ 1) * (x * ((y * z) / y)),y) = (x \ 1) * (x * z). [hyper(189,a,4026,a(flip),b,4036,a)]. 4046 L((x \ 1) * y,K(x,x \ 1),z) = (x \ 1) * (x * (x \ y)). [hyper(3442,a,4045,a)]. 4048 L((x \ 1) * y,K(x,x \ 1),z) = (x \ 1) * y. [hyper(189,a,89,a(flip),b,4046,a)]. 4050 (x * ((1 / y) * z)) / ((y \ 1) * z) = x * K(y,y \ 1). [para(4048(a,1),2430(a,1,2))]. 4051 R(x,K(y \ 1,y),(1 / y) * z) = K(y \ 1,y) * (x * K(y,y \ 1)). [para(4050(a,1),3455(a,1,2)),flip(a)]. 4053 R(x,K(y \ 1,y),(1 / y) * z) = x. [hyper(189,a,2481,a(flip),b,4051,a)]. 4057 R(x,K(y \ 1,y),z) = x. [para(17(a,1),4053(a,1,3))]. 4060 R(x,y,K(z \ 1,z)) = x. [hyper(189,a,3434,a(flip),b,4057,a(flip)),flip(a)]. 4061 (x * K(y \ 1,y)) * z = x * (K(y \ 1,y) * z). [para(4057(a,1),110(a,1,1)),flip(a)]. 4067 x / (y * K(z \ 1,z)) = K(z,z \ 1) * (x / y). [hyper(189,a,3242,a(flip),b,4060,a(flip)),flip(a)]. 4068 (x * y) * K(z \ 1,z) = x * (y * K(z \ 1,z)). [para(4060(a,1),110(a,1,1)),flip(a)]. 4069 x \ (y * K(z \ 1,z)) = (x \ y) * K(z \ 1,z). [para(4060(a,1),370(a,1,1))]. 4071 (x * y) \ ((x * (y * z)) * K(u \ 1,u)) = L(z,y,x) * K(u \ 1,u). [para(4060(a,1),400(a,1,1))]. 4072 R(x,y,K(z,z \ 1)) = x. [para(1536(a,1),4060(a,1,3))]. 4073 R(x,y,1 / z) = R(x,y,z \ 1). [hyper(3030,a,4072,a)]. 4076 T(x,y * K(z,z \ 1)) = T(x,y). [hyper(189,a,3232,a(flip),b,4072,a(flip))]. 4077 (x * y) * K(z,z \ 1) = x * (y * K(z,z \ 1)). [para(4072(a,1),110(a,1,1)),flip(a)]. 4079 R(x,y,1 / (1 / z)) = R(x,y,z). [para(69(a,1),4073(a,2,3))]. 4082 T(x,K(y \ 1,y) * z) = T(x,z). [para(2486(a,1),4076(a,1,2)),flip(a)]. 4083 T(x,K(y,y \ 1) * z) = T(x,z). [para(2502(a,2),4076(a,1,2))]. 4087 T(K(x,x \ 1) * y,T(z,y)) != u | T(K(x,x \ 1) * y,z) = u. [para(4083(a,1),3594(a,1,2))]. 4088 K(x \ 1,x) * (y * z) = y * (K(x \ 1,x) * z). [hyper(3245,a,4061,a)]. 4091 K(x,x \ 1) * (y * (z * K(x \ 1,x))) = y * z. [hyper(2499,a,4068,a)]. 4092 K(x \ 1,x) * (y * z) = y * (z * K(x \ 1,x)). [hyper(2477,a,4068,a)]. 4093 L(K(x \ 1,x),y,z) = K(x \ 1,x). [hyper(346,a,4068,a)]. 4095 (x * (y * K(z \ 1,z))) \ u = (x * y) \ (K(z,z \ 1) * u). [para(4068(a,1),3234(a,1,1))]. 4096 x / (y * (z * K(u \ 1,u))) = K(u,u \ 1) * (x / (y * z)). [para(4068(a,1),4067(a,1,2))]. 4098 a(x,y,K(z \ 1,z)) = 1. [hyper(37,a,4093,a)]. 4099 a(x,y,K(z,z \ 1)) = 1. [para(1536(a,1),4098(a,1,3))]. 4100 L(K(x,x \ 1),y,z) = K(x,x \ 1). [hyper(36,a,4099,a)]. 4101 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = K(x,x \ 1). [hyper(189,a,2950,a,b,4100,a(flip)),flip(a)]. 4104 (x \ (1 / y)) * K(y \ 1,y) = x \ (y \ 1). [para(1198(a,1),4069(a,1,2)),flip(a)]. 4105 (x \ (y * ((z \ 1) \ 1))) * K(z \ 1,z) = x \ (y * z). [para(2319(a,1),4069(a,1,2)),flip(a)]. 4106 x \ (K(y \ 1,y) * z) = (x \ z) * K(y \ 1,y). [para(2475(a,2),4069(a,1,2))]. 4107 K(x,x \ 1) * (y \ (x \ 1)) = y \ (1 / x). [hyper(2499,a,4104,a)]. 4108 (x \ (1 / R(y,z,u))) * K(y \ 1,y) = x \ (R(y,z,u) \ 1). [para(3174(a,1),4104(a,1,2))]. 4109 K(x,x \ 1) * (y * (K(x \ 1,x) * z)) = y * z. [hyper(3907,a,4088,a)]. 4110 x \ (K(y \ 1,y) * z) = K(y \ 1,y) * (x \ z). [hyper(432,a,4088,a)]. 4111 K(x \ 1,x) * (y \ 1) = y \ K(x \ 1,x). [hyper(299,a,4088,a),flip(a)]. 4116 K(x,x \ 1) * (y * (z / ((x \ 1) \ 1))) = y * (z / x). [para(2313(a,1),4091(a,1,2,2))]. 4117 K(x,x \ 1) * (y * z) = y * (K(x,x \ 1) * z). [para(2479(a,1),4091(a,1,2,2))]. 4118 K(x,x \ 1) * (y * ((1 / x) \ z)) = y * ((x \ 1) \ z). [para(2490(a,1),4091(a,1,2,2))]. 4119 K(x \ 1,x) * (y * T(x,z)) = y * T(1 / (1 / x),z). [para(2776(a,1),4092(a,2,2))]. 4120 (K(x,x \ 1) * y) \ z = (y \ z) * K(x \ 1,x). [hyper(189,a,3216,a,b,4106,a(flip)),flip(a)]. 4121 (K(x,x \ 1) * y) \ z = K(x \ 1,x) * (y \ z). [hyper(189,a,3216,a,b,4110,a(flip)),flip(a)]. 4122 x \ (K(y,y \ 1) * z) = K(y,y \ 1) * (x \ z). [hyper(432,a,4117,a)]. 4126 ((1 / x) \ y) * K(z \ 1,z) = (K(z,z \ 1) / x) \ y. [para(3194(a,1),4120(a,1,1)),flip(a)]. 4127 K(x \ 1,x) * ((x * y) \ z) = (((x \ 1) \ 1) * y) \ z. [para(2365(a,1),4121(a,1,1)),flip(a)]. 4128 x \ (K(y,y \ 1) * z) = (x \ z) * K(y,y \ 1). [hyper(189,a,2502,a(flip),b,4122,a)]. 4129 x \ (y * K(z,z \ 1)) = K(z,z \ 1) * (x \ y). [para(2502(a,1),4122(a,1,2))]. 4130 x \ (K(y,y \ 1) * z) != u | (x \ z) * K(y,y \ 1) = u. [para(4122(a,2),2520(a,1))]. 4131 (K(x \ 1,x) * y) \ z = K(x,x \ 1) * (y \ z). [hyper(189,a,3218,a,b,4129,a(flip)),flip(a)]. 4132 (x * y) \ ((x * (y * z)) * K(u,u \ 1)) = K(u,u \ 1) * L(z,y,x). [para(31(a,2),4129(a,2,2))]. 4133 K(x,x \ 1) * (((x \ 1) \ y) \ z) = ((1 / x) \ y) \ z. [para(2376(a,1),4131(a,1,1)),flip(a)]. 4135 T(x,y * ((1 / z) \ u)) = T(x,y * ((z \ 1) \ u)). [para(4118(a,1),4083(a,1,2)),flip(a)]. 4136 T(x,(K(y \ 1,y) * z) * ((u \ 1) \ w)) = T(x,K(y \ 1,y) * (z * ((1 / u) \ w))). [para(3184(a,1),4135(a,1,2)),flip(a)]. 4137 K(x \ 1,x) * (y * ((x \ z) \ z)) = y * T(1 / (1 / x),x \ z). [para(114(a,1),4119(a,1,2,2))]. 4138 K(x \ 1,x) * (y * ((1 / z) \ u)) = y * ((K(x,x \ 1) / z) \ u). [para(4126(a,1),4092(a,2,2))]. 4139 (x * y) \ (K(z,z \ 1) * (x * (K(z \ 1,z) * (y * u)))) = L(u,y * K(z \ 1,z),x). [hyper(3228,a,4095,a),flip(a)]. 4140 K(x \ 1,x) * (y / (z * (u * K(x \ 1,x)))) = y / (z * u). [hyper(3907,a,4096,a(flip))]. 4141 (1 / x) \ (1 / R(x,y,z)) = (x \ 1) \ (R(x,y,z) \ 1). [hyper(21,a,2490,a,b,4108,a)]. 4142 (1 / x) \ (1 / R(x,y,z)) = (x \ R(x,y,z)) \ 1. [hyper(189,a,2963,a(flip),b,4141,a)]. 4143 x / (K(y,y \ 1) * z) = K(y \ 1,y) * (x / z). [para(2480(a,1),4140(a,1,2,2)),flip(a)]. 4144 T(x,y) \ (K(z,z \ 1) * (x * y)) = T(K(z,z \ 1) * y,x). [hyper(4087,a,3260,a(flip)),flip(a)]. 4145 (T(x,y) \ (x * y)) * K(z,z \ 1) = T(K(z,z \ 1) * y,x). [hyper(4130,a,4144,a)]. 4146 T(K(x,x \ 1) * y,z) = T(y,z) * K(x,x \ 1). [para(3528(a,1),4145(a,1,1)),flip(a)]. 4147 T(K(x,x \ 1) * y,z) = K(x,x \ 1) * T(y,z). [hyper(189,a,2502,a,b,4146,a)]. 4149 K(x,x \ 1) * T(K(x,x \ 1) \ y,z) = T(y,z). [para(17(a,1),4147(a,1,1)),flip(a)]. 4151 T((x \ y) * x,z) / x = x \ T(y,z). [hyper(75,a,4149,a(flip),b,2029,a(flip)),flip(a)]. 4152 T(x * y,z) / y = y \ T(y * x,z). [para(16(a,1),4151(a,1,1,1,1))]. 4153 T((x \ y) * x,z) = (x \ T(y,z)) * x. [para(4151(a,1),19(a,1,1)),flip(a)]. 4154 x \ T(x * (y / x),z) = T(y,z) / x. [para(70(a,1),4151(a,1,1,1)),flip(a)]. 4155 (x \ T(y,z)) * x != u | T((x \ y) * x,z) = u. [para(4151(a,1),200(a,1,1)),flip(b)]. 4158 (x \ 1) * T((x \ 1) \ y,z) = T(y * x,z) / x. [hyper(189,a,729,a,b,4152,a),flip(a)]. 4159 x * (T(y * x,z) / x) = T(x * y,z). [para(4152(a,2),17(a,1,2))]. 4160 (x \ T(x * y,z)) * x = T(y * x,z). [para(4152(a,1),19(a,1,1))]. 4161 T(x \ T(x * y,z),x) = x \ T(y * x,z). [para(4152(a,1),115(a,1,1))]. 4166 T((x \ (y / z)) * x,z) = (x \ (z \ y)) * x. [para(115(a,1),4153(a,2,1,2))]. 4168 T(x * (y / x),z) = x * (T(y,z) / x). [para(4154(a,1),17(a,1,2)),flip(a)]. 4170 x \ T(T(x,y) * y,z) = T(x * y,z) / x. [para(3322(a,2),4154(a,1,2,1))]. 4171 T(x,y) \ T(x * (y / x),z) = T(y,z) / T(x,y). [para(3733(a,1),4154(a,1,2,1))]. 4172 (x \ y) * (T(y,z) / (x \ y)) = T((x \ y) * x,z). [para(17(a,1),4159(a,1,2,1,1))]. 4177 T((x * (y \ 1)) * y,z) = (T(x,z) * (y \ 1)) * y. [para(767(a,1),4160(a,1,1)),flip(a)]. 4178 T(x,y) \ T(z * (x / z),y) = K(z,z \ T(x,y)). [hyper(75,a,4168,a,b,3903,a)]. 4179 T(x * ((y / z) / x),z) = x * ((z \ y) / x). [para(115(a,1),4168(a,2,2,1))]. 4181 (x * T(x * (y / x),z)) / y = (T(x,x \ T(y,z)) / y) * T(y,z). [para(4168(a,2),3343(a,1,1,2))]. 4182 T(x * (y / x),z) \ T(y,z) = K(x \ T(y,z),x). [para(4168(a,2),3926(a,1,1))]. 4183 ((x \ (y / z)) * x) * z = z * ((x \ (z \ y)) * x). [para(4166(a,1),113(a,1,2)),flip(a)]. 4184 (x * ((y \ (x \ z)) * y)) / x = (y \ (z / x)) * y. [para(4166(a,1),143(a,1,1,2))]. 4185 (x * ((y / z) / x)) * z = z * (x * ((z \ y) / x)). [para(4179(a,1),113(a,1,2)),flip(a)]. 4186 (x \ K(y,z)) * x != u | T((x \ K(y,z)) * x,T(z,w)) = u. [para(2781(a,1),4155(a,1,1,2))]. 4187 ((x * ((y * x) \ y)) \ 1) * T(((x * ((y * x) \ y)) \ 1) \ (1 / ((y * x) \ y)),z) = T(x,z) / (x * ((y * x) \ y)). [para(1237(a,1),4158(a,2,1,1))]. 4188 T(x,y) \ T(T(x,y) * ((z * (x / z)) / T(x,y)),u) = T(z * (x / z),u) / T(T(x,y),z * (x / z)). [para(3781(a,1),4171(a,1,1))]. 4189 (x \ y) \ T((x \ y) * x,z) != u | T(y,z) / (x \ y) = u. [para(4172(a,1),237(a,1,2)),flip(b)]. 4190 R((x \ (y / z)) * x,z,z \ 1) / (z \ 1) = z * ((x \ (z \ y)) * x). [hyper(3257,a,4183,a)]. 4191 (x \ y) * ((z \ ((x \ y) \ y)) * z) = ((z \ x) * z) * (x \ y). [para(67(a,1),4183(a,1,1,1,2)),flip(a)]. 4192 x * (y * T(y \ (x \ z),y)) = ((y \ (z / x)) * y) * x. [para(113(a,2),4183(a,2,2)),flip(a)]. 4193 ((x \ R(1 / y,y,z)) * x) * (y * z) = (y * z) * ((x \ ((y * z) \ z)) * x). [para(141(a,2),4183(a,1,1,1,2))]. 4194 (x * ((y \ z) * y)) / x = (y \ ((x * z) / x)) * y. [para(16(a,1),4184(a,1,1,2,1,2))]. 4195 (x * ((y / (y * z)) / x)) * (y * z) = (y * z) * (x * (L(z \ 1,z,y) / x)). [para(140(a,2),4185(a,2,2,2,1))]. 4196 (x \ ((x * y) / x)) * x = (x \ y) * T(x,y). [hyper(3621,a,4194,a),flip(a)]. 4197 x \ (((x \ 1) * y) / (x \ 1)) = (x \ 1) * ((x \ y) / (x \ 1)). [hyper(3406,a,4194,a),flip(a)]. 4198 ((x \ 1) \ (((x \ 1) * y) / (x \ 1))) * (x \ 1) = (y / x) / (x \ 1). [hyper(189,a,4039,a(flip),b,4196,a)]. 4199 (x * y) * T((x * y) \ z,y) = ((y \ (z / x)) * y) * x. [hyper(189,a,713,a,b,4192,a(flip)),flip(a)]. 4200 x \ (((x \ 1) * y) / (x \ 1)) = ((x \ 1) * (x \ y)) * x. [hyper(189,a,476,a(flip),b,4197,a)]. 4201 x * (((x \ 1) * (x \ y)) * x) = ((x \ 1) * y) / (x \ 1). [para(4200(a,1),17(a,1,2))]. 4202 ((x \ 1) * y) / (x \ 1) != x * z | ((x \ 1) * (x \ y)) * x = z. [para(4201(a,1),22(a,1))]. 4203 (T(x,x \ T(y,z)) / y) * T(y,z) = (x / y) * T(x * (y / x),z). [hyper(189,a,4038,a(flip),b,4181,a(flip))]. 4204 x * ((((x \ 1) * y) / (x \ 1)) * (1 / x)) = (y / x) / (x \ 1). [hyper(189,a,1892,a(flip),b,4198,a(flip)),flip(a)]. 4205 x * (((x \ 1) * y) * K(x,x \ 1)) = (y / x) / (x \ 1). [para(2267(a,1),4204(a,1,2))]. 4206 (x / y) / (y \ 1) = y * ((1 / y) * x). [para(2507(a,1),4205(a,1,2)),flip(a)]. 4207 x * ((1 / x) * (y * x)) = y / (x \ 1). [para(18(a,1),4206(a,1,1)),flip(a)]. 4208 L(x,y,y \ 1) * y = x / (y \ 1). [hyper(2395,a,4207,a)]. 4209 x \ (y / (x \ 1)) = (1 / x) * (y * x). [hyper(80,a,4207,a)]. 4210 x * ((x \ 1) * y) = L(y,x,x \ 1). [hyper(21,a,651,a,b,4208,a),flip(a)]. 4211 L(x * y,y,y \ 1) = y * ((y \ x) * y). [para(486(a,1),4210(a,1,2)),flip(a)]. 4212 L(x,y,y \ 1) != z | L(x,y \ 1,y) = z. [para(4210(a,1),357(a,1))]. 4213 ((1 / x) * (y * x)) * x = ((x \ 1) * y) * (x * x). [para(4209(a,1),946(a,1,1))]. 4214 L(x * y,y,y \ 1) = x / (1 / y). [hyper(189,a,468,a(flip),b,4211,a)]. 4215 (x / y) / (1 / y) = L(x,y,y \ 1). [para(19(a,1),4214(a,1,1)),flip(a)]. 4216 L(x,y,y \ 1) * (1 / y) = x / y. [para(4215(a,1),19(a,1,1))]. 4218 (1 / x) * (x * y) != z | L(y,x \ 1,x) = z. [para(2374(a,2),4212(a,1))]. 4219 ((x \ 1) * y) / (x \ 1) = (1 / x) * (y * x). [hyper(21,a,688,a,b,4213,a),flip(a)]. 4220 L(T(x,y),y,y \ 1) = ((y \ 1) * x) / (y \ 1). [hyper(189,a,2384,a,b,4219,a),flip(a)]. 4221 ((x \ 1) * y) / (x \ 1) = x * ((x \ 1) * T(y,x)). [hyper(189,a,4210,a,b,4220,a(flip))]. 4222 ((x \ 1) * (x \ y)) * x = (x \ 1) * T(y,x). [hyper(4202,a,4221,a)]. 4223 T(x,y) = (y \ x) / (y \ 1). [hyper(652,a,4222,a(flip)),flip(a)]. 4224 T(x,y) = ((1 / y) * x) * y. [hyper(189,a,847,a(flip),b,4223,a)]. 4225 T(x,y) / y = (1 / y) * x. [hyper(76,a,4223,a,b,847,a(flip))]. 4227 T(x * y,x) = y / (x \ 1). [para(16(a,1),4223(a,2,1))]. 4228 T(x,y) * (y \ 1) = y \ x. [para(4223(a,2),19(a,1,1))]. 4229 x / T(y,x) = (1 / y) * x. [hyper(3550,a,4224,a)]. 4230 T((1 / x) \ y,x) = y * x. [hyper(189,a,91,a(flip),b,4224,a)]. 4231 (x * y) * (x \ 1) = T(y,x \ 1). [para(67(a,1),4224(a,2,1,1)),flip(a)]. 4232 T(x,y) = ((1 / x) * y) \ y. [para(4225(a,1),3553(a,1,1)),flip(a)]. 4233 x * (y / (x \ 1)) = (x * y) * x. [para(4227(a,1),113(a,1,2))]. 4234 T(T(x,y) * y,x) = ((x * y) / x) / (x \ 1). [para(3322(a,2),4227(a,1,1))]. 4235 K(x \ (y / (x \ 1)),x) = K(y,x). [para(4227(a,1),3677(a,1,1,2))]. 4236 K(x / (y \ 1),y) = K(y * x,y). [para(4227(a,1),3876(a,1,1))]. 4237 T(K(x,y) * z,K(x,y)) != u | z * K(x,y) = u. [para(4227(a,2),3943(a,1))]. 4238 x \ ((x * y) / x) = y * (x \ 1). [para(142(a,1),4228(a,1,1)),flip(a)]. 4240 x / T(y \ 1,x) = y * x. [hyper(189,a,126,a(flip),b,4229,a)]. 4241 (1 / x) * y != z | T(y,x) / x = z. [para(4229(a,1),3580(a,1))]. 4242 T(x \ y,x \ 1) = y * (x \ 1). [para(67(a,1),4230(a,1,1,1))]. 4243 ((1 / x) \ y) * x = x * (y * x). [para(4230(a,1),113(a,1,2)),flip(a)]. 4244 T(x \ 1,y) = (x * y) \ y. [para(67(a,1),4232(a,2,1,1))]. 4245 T(x \ 1,x) = 1 / x. [hyper(189,a,1888,a(flip),b,4244,a)]. 4246 T(x \ 1,x \ y) = y \ (x \ y). [hyper(189,a,245,a(flip),b,4244,a)]. 4247 T((x / y) \ 1,y) = x \ y. [para(19(a,1),4244(a,2,1))]. 4248 T(T(x,y) \ 1,y \ 1) = (y \ x) \ (y \ 1). [para(4228(a,1),4244(a,2,1))]. 4249 ((x \ 1) \ 1) \ 1 = 1 / x. [hyper(3540,a,4245,a)]. 4250 1 / (1 / x) = (x \ 1) \ 1. [para(4245(a,1),633(a,1,2))]. 4251 ((x / y) \ 1) * y = y * (x \ y). [para(4247(a,1),113(a,1,2)),flip(a)]. 4252 K((x / y) \ 1,y) = K(x \ y,y). [para(4247(a,1),3876(a,1,1)),flip(a)]. 4253 T((x \ 1) \ 1,y) \ 1 = 1 / T(x,y). [para(2095(a,1),4249(a,1,1))]. 4254 K(1 / x,y) != z | K(x \ 1,y) = z. [para(4249(a,1),2659(a,1,1))]. 4255 ((x \ 1) \ 1) \ 1 != y | 1 / x = y. [para(4250(a,1),236(a,1,1)),flip(b)]. 4256 ((1 / x) * y) * (1 / x) = (1 / x) * (y / x). [para(69(a,1),4233(a,1,2,2)),flip(a)]. 4257 K(x * (y \ 1),y) = K(y \ x,y). [para(18(a,1),4235(a,1,1,2)),flip(a)]. 4258 ((x * y) / x) \ x = x * (y \ 1). [hyper(189,a,3697,a,b,4238,a(flip)),flip(a)]. 4259 x * (y * (x \ 1)) = (x * y) / x. [para(4238(a,1),17(a,1,2))]. 4261 L(x,y,x) * y = (1 / x) \ y. [hyper(21,a,3599,a,b,4243,a),flip(a)]. 4262 K(x \ (y \ x),y \ x) = K(y \ 1,y \ x). [para(4246(a,1),3876(a,1,1))]. 4263 ((x \ 1) \ y) / y = ((x \ y) / y) \ 1. [hyper(76,a,3631,a(flip),b,4251,a)]. 4264 K(x * (1 / y),y) = K(y \ x,y). [hyper(189,a,3123,a,b,4257,a(flip)),flip(a)]. 4265 x * (T(y,x) \ 1) = y \ x. [para(143(a,1),4258(a,1,1)),flip(a)]. 4266 T(K(x,y),z) \ 1 = T(K(y,x),z). [hyper(147,a,3889,a(flip),b,4265,a),flip(a)]. 4267 T(x,y) \ 1 = y \ (x \ y). [hyper(80,a,4265,a),flip(a)]. 4268 T(T(x,y) \ 1,y \ 1) = (x \ y) * (y \ 1). [para(4265(a,1),4231(a,1,1)),flip(a)]. 4269 T(x,y) = 1 / (y \ (x \ y)). [para(4267(a,1),67(a,1,2)),flip(a)]. 4270 x / (T(y,x) \ 1) = (1 / y) \ x. [para(4267(a,2),3641(a,1,2))]. 4271 ((x * y) \ y) \ 1 = y \ ((x \ 1) \ y). [para(4244(a,1),4267(a,1,1))]. 4272 T(x / y,x) = 1 / (x \ y). [para(69(a,1),4269(a,2,2,2))]. 4273 ((x \ y) * x) * (y \ 1) = K(x \ y,x). [hyper(20,a,3777,a(flip),b,4259,a)]. 4274 ((x * y) / x) * L(z,y * (x \ 1),x) = x * ((y * (x \ 1)) * z). [para(4259(a,1),102(a,1,1))]. 4275 K((x \ 1) \ y,x \ 1) = K(y * x,x \ 1). [para(67(a,1),4264(a,1,1,2)),flip(a)]. 4276 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(4266(a,1),369(a,1,2)),flip(a)]. 4277 x / (T(y \ 1,x) \ 1) = y \ x. [para(67(a,1),4270(a,2,1))]. 4278 x / ((y \ x) \ 1) = (y / x) \ x. [para(4247(a,1),4277(a,1,2,1))]. 4279 ((x / y) \ y) \ y = (x \ y) \ 1. [para(4278(a,1),69(a,1,1))]. 4281 L(x,y,y \ 1) != z | T(y * x,y) / y = z. [para(2374(a,1),4241(a,1))]. 4282 K(x,y) != z | K((x \ 1) \ 1,y) = z. [para(67(a,1),4254(a,1,1))]. 4284 L(K(x,y),z,u) \ 1 != w | 1 / L(K(x,y),z,u) = w. [para(2194(a,1),4255(a,1,1))]. 4285 x / (1 / T(y,x)) = (y \ 1) \ x. [para(4253(a,1),4277(a,1,2))]. 4286 ((x \ 1) \ y) \ y = 1 / T(x,y). [para(4285(a,1),69(a,1,1))]. 4287 1 / T(x,x \ y) = T(x \ 1,y). [hyper(189,a,3691,a(flip),b,4286,a(flip))]. 4288 x / (1 / T(y,x)) != z | (y \ 1) \ x = z. [para(4286(a,1),246(a,1,2)),flip(b)]. 4289 ((x \ y) * x) / y = K(x \ y,x). [hyper(189,a,3465,a(flip),b,4273,a(flip)),flip(a)]. 4290 K(x \ (x * y),x) = (y * x) * ((x * y) \ 1). [para(16(a,1),4273(a,1,1,1)),flip(a)]. 4291 K(x \ y,x) * y = (x \ y) * x. [para(4289(a,1),19(a,1,1))]. 4293 K(x,x \ y) * ((x \ y) * x) = y. [hyper(3907,a,4291,a)]. 4294 x / ((y \ x) * y) = K(y,y \ x). [para(4291(a,1),3905(a,1,2))]. 4295 (x \ y) * K(x,x \ y) = y / x. [hyper(76,a,4293,a(flip),b,3832,a),flip(a)]. 4296 K(x,x \ y) * (x \ y) = y / x. [hyper(76,a,4293,a(flip),b,3820,a),flip(a)]. 4298 (x * (y / x)) / y = K(x,x \ y). [hyper(189,a,3805,a,b,4294,a(flip)),flip(a)]. 4301 K(x,x \ y) / (y / x) = 1 / (x \ y). [para(4295(a,1),2937(a,1,2))]. 4302 (x \ y) * (K(x,x \ y) * z) = (y / x) * z. [para(4295(a,1),3828(a,1,1)),flip(a)]. 4303 K(x,x \ y) * ((x \ y) * z) = (y / x) * z. [para(4295(a,1),3832(a,1,1)),flip(a)]. 4304 (x / y) * ((y \ x) \ z) = K(y,y \ x) * z. [para(4295(a,1),3840(a,1,1))]. 4305 (x \ y) * K(x,y / x) = y / x. [para(3873(a,2),4295(a,1,2))]. 4308 K(x \ y,x) * ((x \ y) \ z) = (y / x) \ z. [para(4295(a,1),3968(a,1,1)),flip(a)]. 4310 (x * K(x \ y,x)) \ y = y / x. [hyper(189,a,3968,a,b,4296,a(flip)),flip(a)]. 4312 K(x,y / x) * (x \ y) = y / x. [para(3873(a,2),4296(a,1,1))]. 4314 K(x,x \ y) * y = x * (y / x). [para(4298(a,1),19(a,1,1))]. 4318 x / (x / y) = y * K(y \ x,y). [para(4310(a,1),67(a,1,2))]. 4320 T(x,K(y,y \ x)) = x. [hyper(3947,a,4314,a)]. 4321 K(x \ y,x) * (x * (y / x)) = y. [hyper(3907,a,4314,a)]. 4323 (x * (y / x)) \ (K(x,x \ y) * (y * z)) != u | L(z,y,K(x,x \ y)) = u. [para(4314(a,1),355(a,1,1))]. 4324 K(x,y / x) * y = x * (y / x). [para(3873(a,2),4314(a,1,1))]. 4325 x / (x / y) = K(y \ x,y) * y. [hyper(189,a,2754,a,b,4318,a)]. 4326 ((x \ y) * x) \ (y / (y / x)) = y \ x. [hyper(75,a,4318,a,b,1209,a)]. 4329 (x * y) / ((x * y) / x) = x * K(y,x). [para(16(a,1),4318(a,2,2,1))]. 4331 (x \ y) * K((x \ y) \ y,x \ y) = y / x. [para(67(a,1),4318(a,1,2)),flip(a)]. 4334 R(x * K(x \ y,x),z,u) * (y / x) = (y / x) * R(x,z,u). [para(4318(a,1),514(a,1,1,1))]. 4335 T(x,y) * K(T(x,y) \ y,T(x,y)) = y / (T(y,x) / x). [para(3523(a,2),4318(a,1,2)),flip(a)]. 4336 T(x * K(x \ y,x),y) = L(x,x \ y,x). [para(4318(a,1),3643(a,1,1))]. 4337 T(x,y) / (T(x,y) / y) = y * K(y \ x,y). [para(3678(a,1),4318(a,2,2))]. 4340 (x / (x / y)) \ 1 = y \ K(y,y \ x). [para(4318(a,2),3900(a,1,1))]. 4343 ((x * (y / x)) \ T((x * (y / x)) * K(x \ y,x),z)) * (x * (y / x)) = T(y,z). [para(4321(a,1),4160(a,2,1))]. 4344 K(x,y \ 1) * (y \ x) = x * ((y \ x) / x). [para(3738(a,1),4324(a,1,1))]. 4345 K(x,x \ y) * (y / (y / x)) = x. [hyper(3907,a,4325,a(flip))]. 4350 K(x,y) = T(y,x) \ y. [hyper(3389,a,4329,a),flip(a)]. 4351 K(x,y) = T(y,T(x,y)) \ y. [hyper(3938,a,4350,a)]. 4352 K(x \ (x / y),x) = K(y \ 1,x). [hyper(189,a,3567,a,b,4350,a),flip(a)]. 4353 K(x,y) = (x * y) / (y * x). [hyper(189,a,3502,a,b,4350,a)]. 4354 K(x,y) = ((y * x) / y) \ x. [hyper(189,a,3290,a,b,4350,a)]. 4355 K(x,y) = (1 / T(y,x)) * y. [hyper(189,a,2743,a,b,4350,a)]. 4356 K(x,y) = y / T(y,x). [hyper(189,a,2742,a,b,4350,a)]. 4357 K(x,y) = (T(y,x) \ 1) * T(y,y \ 1). [hyper(189,a,2540,a,b,4350,a)]. 4358 K(x,y) = y * (T(y,x) \ 1). [hyper(189,a,987,a,b,4350,a)]. 4359 x * T(x \ 1,y) = K(x \ 1,y). [hyper(189,a,3568,a(flip),b,4350,a),flip(a)]. 4360 K(x,y) = x \ T(x,y). [hyper(189,a,3542,a(flip),b,4350,a)]. 4362 K(x,y) / y = 1 / T(y,x). [hyper(76,a,4350,a,b,2743,a)]. 4363 (T(x,y) \ 1) \ K(y,x) = T(x,x \ 1). [hyper(75,a,4350,a,b,2540,a)]. 4364 T(x,y) \ 1 = x \ K(y,x). [hyper(75,a,4350,a,b,987,a),flip(a)]. 4365 T(x,y) * K(y,x) = x. [para(4350(a,2),17(a,1,2))]. 4366 R(T(x,y),z,u) \ R(x,z,u) = K(y,R(x,z,u)). [para(45(a,2),4350(a,2,1)),flip(a)]. 4367 T(x,y) = x / K(y,x). [para(4350(a,2),67(a,1,2)),flip(a)]. 4369 (x \ 1) * K(y,x) = T(x,y) \ 1. [para(4350(a,2),2738(a,1,2))]. 4370 K(x,y) * T(y,x) = y. [para(4350(a,2),2745(a,1,1))]. 4371 T(x,y) = K(y,x) \ x. [para(4350(a,2),2746(a,1,1)),flip(a)]. 4372 K(x,y) * ((y * x) / y) = x. [para(4350(a,2),3291(a,1,1))]. 4373 K(x,y) * (y * x) = x * y. [para(4350(a,2),3500(a,1,1))]. 4374 T(x * K(y,x),y) = x. [para(4350(a,2),3543(a,1,1,2))]. 4375 (x * y) / x = y * K(x,y). [para(4350(a,2),3544(a,2,2))]. 4376 x * (K(x,y) * z) = T(x,y) * z. [para(4350(a,2),3546(a,1,2,1))]. 4377 T(x,y) * (x \ z) = K(x,y) * z. [para(4350(a,2),3571(a,2,1))]. 4378 K(x / y,z) * x = y * T(y \ x,z). [para(4350(a,2),3623(a,1,1))]. 4379 ((x * y) / x) \ x = y \ (x * K(y,x)). [para(4350(a,2),3683(a,1,2,2)),flip(a)]. 4381 x * ((y \ (x \ y)) * y) = y * K(x \ 1,y). [para(4350(a,2),3630(a,1,2)),flip(a)]. 4382 x * (T(x,y) \ z) = K(y,x) * z. [para(4350(a,2),3979(a,1,1)),flip(a)]. 4383 K(x,y) * (T(y,x) * z) = y * z. [para(4350(a,2),3980(a,1,1))]. 4384 x * K(y,x) != z | (y * x) / y = z. [para(4350(a,2),4000(a,1,2))]. 4385 T(x,y) / T(T(x,z),y) = K(z,T(x,y)). [para(41(a,1),4356(a,2,2)),flip(a)]. 4386 K(x,y) \ y != z | T(y,x) = z. [para(4356(a,2),236(a,1,1)),flip(b)]. 4387 ((x \ (y * T(x,z))) * x) / T(x,z) = K(z,x) * T((x / T(x,z)) \ y,x). [para(4356(a,2),1579(a,1,1)),flip(a)]. 4388 x * ((y * (x \ 1)) / y) = K(y,x \ 1). [hyper(189,a,3285,a,b,4360,a),flip(a)]. 4390 K(x,y) = (1 / x) * T(x,y). [hyper(189,a,2802,a,b,4360,a)]. 4391 K(x,y) = T(x,y) * (x \ 1). [hyper(189,a,773,a,b,4360,a)]. 4392 x * T(x \ 1,y) = K(1 / x,y). [hyper(189,a,765,a(flip),b,4360,a),flip(a)]. 4393 x \ K(y,x \ 1) = (y * (x \ 1)) / y. [hyper(75,a,4360,a,b,3285,a)]. 4395 K(x \ (x * y),z) = y \ T(y,z). [hyper(189,a,1215,a,b,4360,a(flip)),flip(a)]. 4396 T(x,y) = x * K(x,y). [para(4360(a,2),17(a,1,2)),flip(a)]. 4397 L(x,y,z) \ L(T(x,u),y,z) = K(L(x,y,z),u). [para(43(a,2),4360(a,2,2)),flip(a)]. 4398 R(x,y,z) \ R(T(x,u),y,z) = K(R(x,y,z),u). [para(45(a,2),4360(a,2,2)),flip(a)]. 4399 x * K(x,y) != z | T(x,y) = z. [para(4360(a,2),203(a,1,2)),flip(b)]. 4401 K(x,y) * ((x \ 1) \ z) = z * T(z \ ((x \ 1) \ z),y). [para(4360(a,2),918(a,1,1))]. 4402 K(a(x,y,z),z \ L(z,y,x)) = a(x,y,z) \ ((a(x,y,z) \ 1) \ 1). [para(2218(a,1),4360(a,2,2))]. 4403 T(x,y) = K(x,y) * x. [para(4360(a,2),2799(a,1,1)),flip(a)]. 4404 K(x,y) * x != z | T(x,y) = z. [para(4360(a,2),2803(a,1,1))]. 4405 (x * K(y,x)) * y = y * x. [para(4360(a,2),3279(a,1,1,2))]. 4407 K(x,y) * (x * z) = T(x,y) * z. [para(4360(a,2),3477(a,1,1))]. 4408 x \ T(x,x * y) = K(x,y * x). [para(3507(a,1),4360(a,2,2)),flip(a)]. 4412 T(x,y) * (K(y,x) * z) = x * z. [para(4365(a,1),3837(a,1,1)),flip(a)]. 4413 x \ T(x,y) != z | K(x,y) = z. [para(4365(a,1),3922(a,1,1))]. 4414 T(x,y) != z | x * K(x,y) = z. [para(4367(a,2),3930(a,1))]. 4415 x / T(x,y) != z | K(y,x) = z. [para(4370(a,1),248(a,1,1)),flip(b)]. 4416 T(x,(y \ x) \ 1) = T(x,x \ y). [hyper(189,a,3651,a,b,4371,a),flip(a)]. 4417 T(x,y) = (K(y,x) / x) \ 1. [hyper(189,a,3079,a,b,4371,a)]. 4419 K(x \ y,x) * R(T(x,x \ y),z,u) = y \ ((R(x,z,u) * (x \ y)) * x). [para(4371(a,2),2021(a,1,2,1))]. 4420 T(T(x * K(y,x),z),y) = T(x,z). [para(4374(a,1),41(a,1,1)),flip(a)]. 4422 (x * y) / x != z | y * K(x,y) = z. [para(4374(a,1),250(a,1,1,2)),flip(b)]. 4423 T(x * K(y,x),z) * y = y * T(x,z). [para(4374(a,1),158(a,1,2,1)),flip(a)]. 4424 T(x * K(y,x),z) = (y * T(x,z)) / y. [para(4374(a,1),178(a,1,1,2,1)),flip(a)]. 4425 L(x * K(y,x),z,u) * y = y * L(x,z,u). [para(4374(a,1),159(a,1,2,1)),flip(a)]. 4426 R(x * K(y,x),z,u) * y = y * R(x,z,u). [para(4374(a,1),160(a,1,2,1)),flip(a)]. 4427 R(T(x * K(y,x),z),u,w) * y = y * R(T(x,z),u,w). [para(4374(a,1),509(a,1,2,1,1)),flip(a)]. 4428 T(x * K(y,x),R(x * K(y,x),z,u) * y) = L(x,y,R(x * K(y,x),z,u)). [para(4374(a,1),1287(a,1,1)),flip(a)]. 4429 K(x,y * K(x,y)) = K(x,y). [para(4374(a,1),3874(a,1,2)),flip(a)]. 4430 K(x * K(y,x),y) = K(x,y). [para(4374(a,1),3876(a,1,1)),flip(a)]. 4431 T(x * K(y,x),T(y,x)) = x. [para(3876(a,1),4374(a,1,1,2))]. 4432 x * K(K(y,z),x) = T(x,K(z,y)). [para(4374(a,1),3959(a,1,1)),flip(a)]. 4433 x * K(x,y \ x) = T(x,x / y). [hyper(3341,a,4396,a),flip(a)]. 4436 T(x,y) != x * z | K(x,y) = z. [para(4396(a,2),22(a,1))]. 4440 (x * y) * K(y,z) != u * T(y,z) | R(x,y,K(y,z)) = u. [para(4396(a,2),376(a,2,2))]. 4442 (1 / x) * K(x \ 1,y) = T(1 / x,y). [para(2647(a,1),4396(a,2,2)),flip(a)]. 4443 T(x,T((y \ 1) \ 1,z)) = T(x,y * K(y,z)). [para(4396(a,1),2676(a,2,2))]. 4444 T(x,y) / (y \ x) = y * K(x,y). [hyper(76,a,4403,a,b,3840,a)]. 4445 T(K(x,y),z) * K(y,x) = K(K(x,y),z). [hyper(3929,a,4403,a(flip))]. 4446 K(L(x,y,z),u) * L(x,y,z) = L(T(x,u),y,z). [hyper(189,a,43,a,b,4403,a(flip))]. 4448 R(T(x,y),z,u) / R(x,z,u) = K(R(x,z,u),y). [hyper(76,a,45,a,b,4403,a(flip))]. 4451 x * (K(y,x) * y) = y * x. [para(4403(a,1),113(a,1,2))]. 4453 (x * K(y,z)) \ (x * T(y,z)) != u | L(y,K(y,z),x) = u. [para(4403(a,2),355(a,1,2,2))]. 4455 (T(x,y) * y) / T(x,y) = y * K(x,y). [para(4351(a,2),3544(a,2,2))]. 4457 R(T(K(x,y),(y * x) * z),y * x,z) = ((y * x) * z) \ ((x * y) * z). [para(4353(a,2),720(a,1,1,1))]. 4458 (x * y) \ T((x * y) * K(y,x),z) = T(y * x,z) / (x * y). [para(4353(a,2),4154(a,1,2,1,2))]. 4459 K(x,x \ 1) / ((y * x) \ y) = 1 / T((y * x) \ y,x). [hyper(76,a,1990,a(flip),b,4355,a(flip))]. 4461 T(x \ 1,y) * x = K(x \ y,x). [para(4287(a,1),4355(a,2,1)),flip(a)]. 4462 L(T(x \ y,z) \ 1,x \ y,x) = y \ (x * K(z,x \ y)). [para(4358(a,2),103(a,1,2,2)),flip(a)]. 4463 K(x,y) * T(K(y,x),z) = K(z,K(x,y)). [para(4266(a,1),4358(a,2,2)),flip(a)]. 4465 ((x \ y) \ y) \ 1 = x \ K(x \ y,x). [hyper(189,a,523,a(flip),b,4364,a(flip)),flip(a)]. 4466 T(x,y) = 1 / (x \ K(y,x)). [para(4364(a,1),67(a,1,2)),flip(a)]. 4467 1 / (x \ K(y,x)) != z | T(x,y) = z. [para(4364(a,1),246(a,1,2)),flip(b)]. 4468 (x * y) / x = K(x,y) * y. [hyper(3907,a,4372,a),flip(a)]. 4469 K(x,y) = x / ((y * x) / y). [hyper(88,a,4372,a),flip(a)]. 4470 K(L(x,y,z),z * y) * ((z * (y * x)) / (z * y)) = L(x,y,z). [para(102(a,1),4372(a,1,2,1))]. 4472 K(L(x,y,z),z * y) * (z * (y * x)) = L(x,y,z) * (z * y). [para(102(a,1),4373(a,1,2))]. 4473 (x * (y * x)) / (x * y) = x * K(y,x). [para(4373(a,1),3829(a,1,1,2))]. 4474 (x * y) * K(T(y,x),x * y) = T(y,x * y) * T(x,y). [hyper(3813,a,4375,a),flip(a)]. 4475 T(x,y) * K(x * y,T(x,y)) = R(x,y,x). [hyper(3666,a,4375,a),flip(a)]. 4476 T((x * y) / x,z) = T(y,z) * K(x,T(y,z)). [hyper(332,a,4375,a)]. 4477 (x \ 1) \ K(y,x) = (y * ((x \ 1) \ 1)) / y. [hyper(189,a,3086,a(flip),b,4375,a),flip(a)]. 4478 (x * y) \ ((x * y) / x) = L(x \ 1,x,y). [hyper(75,a,4375,a,b,1214,a)]. 4479 x * ((y * z) / y) = x * (z * K(y,z)). [hyper(24,a,4375,a)]. 4480 x \ T(x * y,y) = y * K(x * y,y). [hyper(189,a,3338,a(flip),b,4375,a(flip)),flip(a)]. 4481 (x * y) / x != y * z | K(x,y) = z. [para(4375(a,2),22(a,1))]. 4482 T(x * K(y,x),y) != z | z = x. [para(4375(a,1),242(a,1,1))]. 4483 ((x * y) * z) / R(x,y,z) = (y * z) * K(R(x,y,z),y * z). [para(110(a,1),4375(a,1,1))]. 4484 R(x * K(y,x),y,z) = ((y * x) * z) / (y * z). [para(4375(a,1),111(a,1,1))]. 4485 T(x * K(y,x),x * y) = L(x,y,x). [para(4375(a,1),563(a,1,1))]. 4486 T(T(x * K(y,x),z),y) != u | T(x,z) = u. [para(4375(a,1),548(a,1,1,1))]. 4487 T(x * K(y * x,x),y) = R(x,y,x). [para(4375(a,1),603(a,2,1)),flip(a)]. 4488 L(x * K(y,x),z,u) = (y * L(x,z,u)) / y. [para(4375(a,1),662(a,1,1))]. 4489 R(x * K(y,x),z,u) = (y * R(x,z,u)) / y. [para(4375(a,1),670(a,1,1))]. 4490 L(x * K(y * z,x),z,y) = (y * (z * x)) / (y * z). [para(4375(a,1),663(a,1,1))]. 4491 ((x * y) * L(y,z,u)) / (x * L(y,z,u)) = y * K(x * L(y,z,u),y). [para(1248(a,1),4375(a,1,1))]. 4492 ((x * y) * T(y,z)) / (x * T(y,z)) = y * K(x * T(y,z),y). [para(1476(a,1),4375(a,1,1))]. 4493 ((x * y) * R(y,z,u)) / (x * R(y,z,u)) = y * K(x * R(y,z,u),y). [para(1643(a,1),4375(a,1,1))]. 4494 ((x * y) * R(T(x,y),z,u)) / (R(x,z,u) * y) = T(x,y) * K(R(x,z,u) * y,T(x,y)). [para(1664(a,1),4375(a,1,1))]. 4496 ((x * y) / x) * z = y * (K(x,y) * z). [para(4375(a,2),3828(a,1,1))]. 4497 ((x * y) / x) \ 1 = y \ K(y,x). [para(4375(a,2),3900(a,1,1))]. 4499 (x \ (y * K(x,y))) * x = (x \ y) * T(x,y). [para(4375(a,1),4196(a,1,1,2))]. 4503 (x * T(y,z)) \ (x * K(y,z)) != u | L(y \ 1,T(y,z),x) = u. [para(4391(a,2),355(a,1,2,2))]. 4504 T(x,y) * K(y * R(x,z,u),T(x,y)) = R(x,y,R(x,z,u)). [hyper(21,a,1667,a,b,4405,a)]. 4505 T(x,y) * K(y * x,T(x,y)) = R(x,y,x). [hyper(21,a,614,a,b,4405,a)]. 4506 ((x * y) * z) / (x * z) != u | R(y * K(x,y),x,z) = u. [para(4405(a,1),385(a,1,1,1))]. 4507 L(x * K(y,x),K(x * K(y,x),y),z) = (z * K(x,y)) \ (z * x). [para(4430(a,2),3904(a,1,2))]. 4508 L(x * K(y,x),z,u) * T(y,x) = T(y,x) * L(x,z,u). [para(4431(a,1),159(a,1,2,1)),flip(a)]. 4509 (x * y) \ (y * (K(x,y) * (x * z))) = L(z,x,y * K(x,y)). [para(4451(a,1),4029(a,1,1))]. 4510 ((x * ((y * z) / y)) / x) / ((x * z) / x) = K(y,(x * z) / x). [hyper(76,a,760,a,b,4468,a(flip))]. 4511 K(x,y) / x = 1 / ((y * x) / y). [hyper(76,a,4469,a,b,1594,a)]. 4513 L(x,y,z) \ L(T(x,u),y,z) != w | K(L(x,y,z),u) = w. [para(43(a,2),4413(a,1,2))]. 4514 R(x,y,z) \ R(T(x,u),y,z) != w | K(R(x,y,z),u) = w. [para(45(a,2),4413(a,1,2))]. 4516 x * T(x \ 1,y) != z | K(x \ 1,y) = z. [para(2638(a,1),4413(a,1))]. 4517 K(x \ (x / y),x) != z | K(y \ 1,x) = z. [para(2641(a,2),4413(a,1))]. 4519 T(x,y) / T(T(x,z),y) != u | K(z,T(x,y)) = u. [para(41(a,1),4415(a,1,2))]. 4520 R(x * T(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). [hyper(2012,a,4352,a)]. 4521 L(x * T(x \ 1,y),z,u) = K(L(x,z,u) \ 1,y). [hyper(189,a,1973,a,b,4352,a(flip)),flip(a)]. 4522 T(x * T(x \ 1,y),z) = K(T(x,z) \ 1,y). [hyper(189,a,1374,a,b,4352,a(flip)),flip(a)]. 4523 x \ (y * T(y \ x,z)) = K((x \ y) \ 1,z). [hyper(189,a,1075,a(flip),b,4352,a(flip)),flip(a)]. 4524 x * T(x \ y,z) = y * K((y \ x) \ 1,z). [para(4352(a,1),1074(a,2,2))]. 4525 (x \ y) * K(((x \ y) \ (x \ 1)) \ 1,z) = x \ T(y,z). [para(4352(a,1),1077(a,1,2))]. 4526 K((x / y) \ 1,z) * y = x * T(x \ y,z). [para(4352(a,1),1584(a,1,1))]. 4527 ((x \ (1 / y)) * x) * y = K((x * y) \ 1,x). [hyper(189,a,1165,a(flip),b,4359,a(flip)),flip(a)]. 4528 (x * y) * T((x * y) \ x,z) = x * K(y \ 1,z). [para(4359(a,1),569(a,2,2))]. 4530 K(x \ 1,y) * (x \ z) = z * T(z \ (x \ z),y). [para(4359(a,1),909(a,1,1))]. 4531 (x * y) * T((x * y) \ y,z) = K(x \ 1,z) * y. [para(4359(a,1),1119(a,2,1))]. 4532 x * (y * T(y \ (x \ y),z)) = K(x \ 1,z) * y. [para(4359(a,1),1125(a,2,1))]. 4533 (x * y) * (z * T(z \ L(y \ z,y,x),u)) = (x * K(y \ 1,u)) * z. [para(4359(a,1),1858(a,2,1,2))]. 4534 (T(1 / x,y) \ 1) / K(y,1 / x) = x. [hyper(76,a,4369,a(flip),b,131,a(flip))]. 4535 (x * (y \ 1)) \ (x * (T(y,z) \ 1)) = L(K(z,y),y \ 1,x). [para(4369(a,1),31(a,2,2,2)),flip(a)]. 4536 K(x,y) = (T(x,y) \ 1) \ (x \ 1). [para(4369(a,1),3918(a,1,1)),flip(a)]. 4537 (T(x,y) \ 1) \ (x \ 1) != z | K(x,y) = z. [para(4369(a,1),3922(a,1,1))]. 4539 K(x,K(y,z)) * K(z,y) = T(K(z,y),x). [hyper(147,a,3958,a(flip),b,4376,a),flip(a)]. 4540 x \ (T(x,y) * z) = K(x,y) * z. [hyper(80,a,4376,a)]. 4541 K(x,y) * (T(x,y) \ z) = x \ z. [hyper(75,a,17,a(flip),b,4376,a),flip(a)]. 4542 K(x,y) * (z * x) = T(x,y) * T(z,x). [hyper(20,a,981,a,b,4376,a)]. 4543 K(x,y) * T(y,y * x) = L(y,x,y). [hyper(20,a,3720,a(flip),b,4376,a)]. 4544 (x * ((K(x,y) * z) * u)) \ ((T(x,y) * z) * u) = a(x,K(x,y) * z,u). [para(4376(a,1),27(a,2,2,1)),flip(a)]. 4545 x * (K(y,x) * K(x,z)) = T(x,z) * K(y,x). [para(1959(a,1),4376(a,1,2))]. 4546 (K(x,y) * z) \ T(T(x,y) * z,x) != u | R(x,K(x,y) * z,x) = u. [para(4376(a,1),3672(a,1,2,1))]. 4547 (x \ y) / (T(x,z) \ y) = K(x,z). [hyper(1007,a,4377,a)]. 4548 (x \ y) * T((x \ y) \ y,z) = K(x,z) * y. [hyper(735,a,4377,a)]. 4550 (K(x,y) * z) / (x \ z) = T(x,y). [hyper(88,a,4377,a)]. 4551 x \ (K(y,x) * z) = T(x,y) \ z. [hyper(75,a,3887,a(flip),b,4377,a),flip(a)]. 4552 x * (K(x,y) * (x \ z)) = K(x,y) * z. [hyper(189,a,4376,a,b,4377,a(flip)),flip(a)]. 4553 (x * y) / (T(x,z) * y) = K(z,x). [hyper(76,a,3988,a(flip),b,4377,a(flip))]. 4555 (K(x,y) * z) / (x \ z) != u | T(x,y) = u. [para(4377(a,1),248(a,1,1)),flip(b)]. 4556 (x * y) \ (y * (K(x,y) * z)) = L(x \ z,T(x,y),y). [para(4377(a,1),153(a,1,2,2))]. 4557 K(x,y) * T(x,z) = T(x,y) * K(x,z). [para(4360(a,2),4377(a,1,2)),flip(a)]. 4558 K(x,y) * (y \ z) = T(y,x) \ z. [hyper(1006,a,4382,a),flip(a)]. 4561 K(x,y) * (y \ z) != u | T(y,x) \ z = u. [para(4382(a,1),1006(a,1))]. 4562 K(x,y) * T(T(y,x),z) = y * K(T(y,x),z). [para(4360(a,2),4382(a,1,2)),flip(a)]. 4563 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(4383(a,1),348(a,1,1)),flip(a)]. 4564 K(x,y) * (x * z) != u | T(x,y) * z = u. [para(4383(a,1),3914(a,1,2)),flip(b)]. 4566 K(x \ (x * y),z) != u | K(y,z) = u. [para(4395(a,2),4413(a,1))]. 4569 K(x,y) \ (z * T(x,y)) = x * T(z,T(x,y)). [hyper(75,a,113,a(flip),b,4407,a)]. 4570 x \ (T(x,y) * y) = y * K(x,y). [hyper(75,a,4407,a(flip),b,3715,a(flip))]. 4571 T(x,y) * (x \ z) != u | K(x,y) * z = u. [para(4407(a,1),254(a,1))]. 4572 ((T(x,y) * z) * u) / ((x * z) * u) != w | R(K(x,y),x * z,u) = w. [para(4407(a,1),385(a,1,1,1))]. 4574 (T(x,y) * z) \ (K(x,y) * (x * (z * u))) = L(L(u,z,x),x * z,K(x,y)). [para(4407(a,1),348(a,1,1))]. 4576 K(x,y * x) = K(x,x * y). [hyper(4413,a,4408,a),flip(a)]. 4577 K(x,y * x) != z | K(x,x * y) = z. [para(4408(a,1),4413(a,1))]. 4578 K(x,x * (y / x)) = K(x,y). [para(19(a,1),4576(a,1,2)),flip(a)]. 4579 K(x,T(y * x,z)) = K(x,T(x * y,z)). [para(4159(a,1),4578(a,1,2)),flip(a)]. 4580 K(x \ y,T((x \ y) * x,z)) = K(x \ y,T(y,z)). [para(4172(a,1),4578(a,1,2))]. 4581 K(x,y / z) * (z * T(z \ y,x)) = y. [hyper(1067,a,4412,a)]. 4583 T(x,y) * (K(y,x) * K(z,z \ x)) = z * (x / z). [hyper(189,a,3903,a(flip),b,4412,a)]. 4584 T(x,y) / (K(z,x) * K(x,y)) = T(x,z). [hyper(76,a,4396,a,b,4412,a)]. 4586 T(x,y) * z != x * u | K(y,x) * u = z. [para(4412(a,1),22(a,1)),flip(a)]. 4587 T(x,y) \ (x * z) != u | K(y,x) * z = u. [para(4412(a,1),237(a,1,2)),flip(b)]. 4588 T(x,x \ y) / (y \ x) = ((1 / (y \ x)) \ y) * (1 / (y \ x)). [para(4416(a,1),2698(a,1,1))]. 4591 K(K(x,y),z) = K(z,K(y,x)). [hyper(20,a,4396,a(flip),b,4432,a)]. 4592 T(T(x,K(y,z)),K(z,y)) != u | u = x. [para(4432(a,1),4482(a,1,1))]. 4593 K(x,K(y,z)) \ 1 = K(x,K(z,y)). [hyper(3952,a,4591,a)]. 4594 K(x,K(y,z)) \ 1 != u | K(x,K(z,y)) = u. [para(4591(a,1),3872(a,1,1))]. 4595 K(x,y) * K(z,K(y,x)) = T(K(x,y),z). [para(4591(a,1),4396(a,2,2)),flip(a)]. 4596 K(x,x / y) = K(x,y \ x). [hyper(20,a,4396,a(flip),b,4433,a),flip(a)]. 4597 K(x,(y \ x) \ x) = K(x,y). [para(67(a,1),4596(a,1,2)),flip(a)]. 4598 K(x,x / (x / y)) = K(x,y). [para(69(a,1),4596(a,2,2))]. 4599 K(x * y,T(y,x)) = K(x * y,y). [para(3555(a,2),4597(a,1,2))]. 4600 T(x * y,y) / T(x,y) = y * K(x * y,y). [para(35(a,2),4444(a,1,2))]. 4601 (x \ y) * T((x \ y) \ T(y,x),z) = T(x * K(y,x),z) * (x \ y). [para(4444(a,1),323(a,1,1,1)),flip(a)]. 4602 T(x \ 1,x * y) = K(y,x) / x. [hyper(76,a,1215,a(flip),b,4461,a),flip(a)]. 4603 (x \ 1) \ K(x \ y,x) = K(x \ 1,y) * x. [hyper(75,a,4461,a(flip),b,4376,a)]. 4604 1 / (x * K(y,x)) = K(x,y) / x. [para(4375(a,1),4511(a,2,2)),flip(a)]. 4605 (x \ K(y,x)) \ (x \ 1) = K(x,y). [para(4364(a,1),4536(a,2,1)),flip(a)]. 4606 K(x,y) * z != u | T(x,y) * (x \ z) = u. [para(4540(a,1),983(a,1))]. 4607 x \ y != K(x,z) * u | T(x,z) \ y = u. [para(4541(a,1),22(a,1))]. 4608 K(x,x \ y) * (((x \ y) \ y) \ z) = x \ z. [para(114(a,1),4541(a,1,2,1))]. 4610 (L(x,y,z) \ u) / (L(T(x,w),y,z) \ u) = K(L(x,y,z),w). [para(43(a,2),4547(a,1,2,1))]. 4613 (R(x,y,z) * u) / (R(T(x,w),y,z) * u) = K(w,R(x,y,z)). [para(45(a,2),4553(a,1,2,1))]. 4615 (T(x,y) * y) / ((T(x,y) * y) / x) = x * K(y * K(x,y),x). [para(4570(a,1),4318(a,2,2,1))]. 4616 K(x,K(y,z)) != u | K(K(z,y),x) = u. [para(4593(a,1),3872(a,1))]. 4617 K(x * y,y) = K(y * x,y). [hyper(3735,a,4599,a),flip(a)]. 4618 K(x / (y \ 1),y) = K(x * y,y). [hyper(189,a,4236,a,b,4617,a),flip(a)]. 4619 K(x * (y / x),x) = K(y,x). [para(19(a,1),4617(a,1,1)),flip(a)]. 4620 T(x * K(x * y,x),y * x) = x. [para(4617(a,1),4374(a,1,1,2))]. 4621 K(T(x,y) * y,x) = K(x * y,x). [para(3322(a,2),4619(a,1,1))]. 4622 K(T(x * (y / x),z),x) = K(T(y,z),x). [para(4168(a,2),4619(a,1,1))]. 4623 L(x,((y \ 1) \ y) \ y,z / T(y \ 1,(y \ 1) \ y)) = z \ ((z / (K(y,y) / y)) * ((((y \ 1) \ y) \ y) * x)). [para(4602(a,1),1967(a,1,2,1,2)),flip(a)]. 4624 (K(x,y) / x) \ 1 = x * K(y,x). [para(4604(a,1),69(a,1,1))]. 4625 L(x,y * K(x * y,y),x) = L(x,R(y,x,y),x). [para(4487(a,1),3724(a,1,2)),flip(a)]. 4626 T(x * K(x * y,x),y) = R(x,y,x). [para(4617(a,1),4487(a,1,1,2))]. 4627 T(x,x * y) * K(y,x) = L(x,y,x). [hyper(2760,a,4543,a)]. 4628 K((x / y) \ x,z) != u | K(y,z) = u. [para(19(a,1),4566(a,1,1,2))]. 4630 T(x * K(y,z),K(z,y)) != u | K(y,z) * x = u. [para(3955(a,1),4592(a,1,1)),flip(b)]. 4631 x \ K(x,x \ y) = y / (y * x). [hyper(3639,a,4340,a),flip(a)]. 4632 T((x \ K(x,x \ y)) \ 1,y * x) = y \ (y * x). [para(4631(a,2),4247(a,1,1,1))]. 4633 K(x,y) * K(y \ 1,y) = (T(y,x) \ 1) * y. [para(4357(a,2),2320(a,1,1))]. 4635 K(x \ 1,x) * K(y,x) = (T(x,y) \ 1) * x. [para(4357(a,2),2482(a,1,2))]. 4636 x * ((T(y,x) \ 1) * T(y,y \ 1)) = T(x,y). [para(4357(a,1),4396(a,2,2)),flip(a)]. 4637 (x * (y * T(y \ z,u))) / (x * z) = K((x * z) / (x * y),u). [hyper(76,a,712,a(flip),b,4378,a)]. 4639 x * T(x \ y,z) != y * u | T(K(y / x,z),y) = u. [para(4378(a,1),148(a,2)),flip(a)]. 4640 x / (y * T(y \ x,z)) = K(z,x / y). [para(4378(a,1),3905(a,1,2))]. 4641 (x * K(y,x)) \ y = x \ (y * K(x,y)). [para(4375(a,1),4379(a,1,1))]. 4642 T(x,y) / T(T(x,z \ x),y) = K(x / z,T(x,y)). [para(3327(a,1),4385(a,1,2,1))]. 4643 ((x * (1 / y)) / x) * y = K(x,y \ 1). [hyper(683,a,4388,a)]. 4646 T(x * ((y * (x \ 1)) / y),z) = K(y,T(x,z) \ 1). [hyper(189,a,1802,a(flip),b,4388,a(flip)),flip(a)]. 4647 K(x,y \ 1) / y = (x * (1 / y)) / x. [hyper(76,a,4388,a(flip),b,680,a)]. 4648 (x * y) * ((z * ((x * y) \ x)) / z) = x * K(z,y \ 1). [para(4388(a,1),1398(a,2,2))]. 4649 x * K(y,(x \ z) \ 1) = z * ((y * (z \ x)) / y). [para(4388(a,1),1414(a,1,2))]. 4650 (x * y) * ((z * ((x * y) \ y)) / z) = K(z,x \ 1) * y. [para(4388(a,1),1796(a,2,1))]. 4652 L(x,y,z) \ K(x,L(x,y,z) \ 1) = (L(x,y,z) \ x) / x. [para(964(a,1),4393(a,2,1))]. 4653 T(x,y) * K(z,T(x,y)) = T(x * K(z,x),y). [hyper(21,a,4405,a,b,4423,a),flip(a)]. 4654 T(x * K(y * R(x,z,u),x),y) = R(x,y,R(x,z,u)). [hyper(21,a,1667,a,b,4423,a)]. 4656 K(x,T(y,z)) * T(y,z) = T(y * K(x,y),z). [hyper(189,a,4468,a(flip),b,4424,a),flip(a)]. 4657 T(x * K(y,x),z) / T(x,z) = K(y,T(x,z)). [hyper(76,a,4424,a,b,4468,a(flip))]. 4658 T(x,y) \ T(x * K(z,x),y) = K(z,T(x,y)). [hyper(75,a,4424,a,b,4375,a(flip))]. 4659 T(x,T(y,z)) * T(y,z) = x * T(y * K(x,y),z). [para(4424(a,2),3322(a,2,2))]. 4660 T(x * K(y,x),z) \ T(x,z) = K(T(x,z),y). [para(4424(a,2),4354(a,2,1)),flip(a)]. 4661 T(x * K(y,x),z) != u | T(x,z) * K(y,T(x,z)) = u. [para(4424(a,2),4422(a,1))]. 4663 x * ((T(y,(z \ x) \ u) * (x \ (z * u))) / T(y,(z \ x) \ u)) = z * ((z \ x) * (((z \ x) \ u) * K(y,(z \ x) \ u))). [para(4455(a,1),1223(a,1,2,2)),flip(a)]. 4664 (x / ((y * z) / y)) * (z * K(y,z)) = x. [hyper(200,a,4479,a)]. 4665 T(T(x * y,y) / (T(x * y,y) / x),T(x * y,y)) = L(x,y * K(x * y,y),x). [para(4480(a,1),3643(a,2,2))]. 4666 (T(1 / x,y) \ 1) / K(y,x \ 1) = x. [para(3083(a,1),4534(a,1,2))]. 4667 T(K(x,y),z) * K(y,x) != u | K(z,K(y,x)) = u. [para(4539(a,1),3921(a,1,1)),flip(b)]. 4669 x * (K(x,y) * K(x,z)) = K(x,y) * T(x,z). [para(4360(a,2),4552(a,1,2,2))]. 4670 K(x,y) * T(x,z) != u | K(x,z) * T(x,y) = u. [para(4557(a,2),2664(a,1))]. 4671 K(x,y / (z \ 1)) * (z \ T(z * y,x)) = y. [para(729(a,1),4581(a,1,2))]. 4672 x / (K(y,x * K(z,x)) * K(x * K(z,x),z)) = T(x * K(z,x),y). [para(4374(a,1),4584(a,1,1))]. 4673 K(x,y) * T(K(y,x),z) != u | K(z,K(x,y)) = u. [para(4595(a,1),3914(a,1,2)),flip(b)]. 4674 K(T(T(x,y) * y,z),x) = K(T(x * y,z),x). [para(3322(a,2),4622(a,1,1,1))]. 4675 x / (y * (z * T(z \ (y \ x),u))) = K(u,x / (y * z)). [para(713(a,1),4640(a,1,2))]. 4676 x / (((y \ (x * z)) * y) / z) = K(y,x / (y / z)). [para(1579(a,1),4640(a,1,2))]. 4677 K(1 / x,y) / (1 / x) = 1 / (K(y,x \ 1) / x). [para(4647(a,2),4511(a,2,2))]. 4678 T(1 / x,y) \ 1 = x * K(y,x \ 1). [para(4666(a,1),19(a,1,1)),flip(a)]. 4683 L(x \ 1,T(x,y),y) = L(x \ 1,x,y). [hyper(189,a,3287,a(flip),b,4478,a(flip)),flip(a)]. 4684 T(x * L(x \ 1,x,y),y) = T(x,y) * ((x * y) \ y). [para(4683(a,1),1340(a,1,1,2))]. 4685 T(x,y) * K(x * y,x) = R(x,y,x). [para(3734(a,1),4505(a,1,2))]. 4686 K(x,y) * K(x * y,x) = x \ R(x,y,x). [hyper(75,a,4685,a(flip),b,4376,a),flip(a)]. 4687 x * (y * T(y \ (x \ 1),z)) != u | K((x * y) \ 1,z) = u. [para(713(a,1),4516(a,1))]. 4688 R(x * T(x \ 1,y),z,u) != w | K(R(x,z,u) \ 1,y) = w. [para(2013(a,1),4516(a,1))]. 4691 K(x,y) * (z * x) != u | T(x,y) * T(z,x) = u. [para(113(a,1),4564(a,1,2))]. 4692 T(x,y) * (T(x,z) \ u) != w | K(x,y) * (K(z,x) * u) = w. [para(4551(a,1),4571(a,1,2))]. 4693 K(K(x,y),z) != u | K(z,K(y,x)) = u. [para(3871(a,1),4594(a,1))]. 4695 K(x * y,x) * K(x,y) = x \ R(x,y,x). [hyper(1962,a,4686,a)]. 4696 K(x,y) * K(y * x,x) = x \ R(x,y,x). [para(4617(a,2),4686(a,1,2))]. 4697 K(x * y,y) * K(y,x) = y \ R(y,x,y). [para(4617(a,2),4695(a,1,1))]. 4698 T(T(x,y) * y,x) = x * ((1 / x) * (x * y)). [hyper(189,a,4206,a(flip),b,4234,a)]. 4699 L((x \ 1) \ y,x \ 1,((x * z) / x) / (x \ 1)) = ((x * z) / x) \ (T(T(x,z) * z,x) * y). [para(4234(a,2),364(a,2,2,1))]. 4700 (x \ y) \ (x \ 1) = (y \ x) * (x \ 1). [hyper(189,a,4248,a(flip),b,4268,a(flip)),flip(a)]. 4701 K(x * y,y \ 1) = K(y * x,y \ 1). [hyper(189,a,3743,a(flip),b,4275,a(flip))]. 4702 ((x \ 1) \ y) * (x \ 1) = y * K(y * x,x \ 1). [para(4275(a,1),213(a,1,2)),flip(a)]. 4703 K(x,y) = (x * y) * ((y * x) \ 1). [hyper(4566,a,4290,a)]. 4704 (x * y) \ K(x,y) = (y * x) \ 1. [hyper(75,a,1215,a(flip),b,4290,a(flip))]. 4707 K(x,x \ y) * ((y / x) \ z) = (x \ y) \ z. [hyper(75,a,17,a(flip),b,4302,a),flip(a)]. 4717 (x \ y) \ (y / (y / x)) = (y / x) \ x. [hyper(75,a,4345,a(flip),b,4304,a),flip(a)]. 4720 R(x \ y,(y / x) \ x,x \ y) = ((x \ y) \ (y / (y / x))) \ x. [para(4717(a,1),3674(a,1,2))]. 4726 K(x,y \ 1) * (y \ x) = y \ T(x,y \ 1). [hyper(189,a,3358,a,b,4344,a)]. 4727 (x \ T(y,x \ 1)) / (x \ y) = K(y,x \ 1). [hyper(76,a,3358,a,b,4344,a)]. 4728 (x * K(y \ 1,x)) / ((x \ (y \ x)) * x) = y. [hyper(88,a,4381,a)]. 4729 L(x,y,z) * K(u,L(x,y,z)) = L(x * K(u,x),y,z). [hyper(21,a,4405,a,b,4425,a),flip(a)]. 4730 L(L(x,y,z) * K(u,L(x,y,z)),w,v5) * u = u * L(L(x,w,v5),y,z). [para(48(a,1),4425(a,2,2))]. 4732 R(x,y,z) * K(u,R(x,y,z)) = R(x * K(u,x),y,z). [hyper(21,a,4405,a,b,4426,a),flip(a)]. 4734 T(x,y * K(y,z)) = T(x,T(y,z)). [hyper(189,a,2676,a(flip),b,4443,a(flip))]. 4735 K(x,y) * T((z * y) / z,x) = y * K(z,T(y,x)). [para(4476(a,2),4383(a,1,2))]. 4736 (((x * y) / x) \ 1) \ 1 = (y \ 1) \ K(x,y). [hyper(189,a,2116,a(flip),b,4477,a),flip(a)]. 4737 L(x * K(y,x),z,u) / L(x,z,u) = K(y,L(x,z,u)). [hyper(76,a,4488,a,b,4468,a(flip))]. 4738 L(x * K(y,x),z,u) \ L(x,z,u) = K(L(x,z,u),y). [para(4488(a,2),4354(a,2,1)),flip(a)]. 4739 L(x,y,z) / L(x * K(u,x),y,z) = K(L(x,y,z),u). [para(4488(a,2),4469(a,2,2)),flip(a)]. 4740 L(x * K(y,x),z,u) != L(x,z,u) * w | K(y,L(x,z,u)) = w. [para(4488(a,2),4481(a,1))]. 4741 R(x,y,z) \ R(x * K(u,x),y,z) = K(u,R(x,y,z)). [hyper(75,a,4489,a,b,4375,a(flip))]. 4742 R(x * K(y,x),z,u) \ y = R(x,z,u) \ ((R(x,z,u) * y) / R(x,z,u)). [para(4489(a,2),3697(a,1,1))]. 4743 R(x * K(y,x),z,u) \ R(x,z,u) = K(R(x,z,u),y). [para(4489(a,2),4354(a,2,1)),flip(a)]. 4744 R(x,y,z) / R(x * K(u,x),y,z) = K(R(x,y,z),u). [para(4489(a,2),4469(a,2,2)),flip(a)]. 4745 R(x,y,z) \ K(R(x,y,z),u) = R(x * K(u,x),y,z) \ 1. [para(4489(a,2),4497(a,1,1)),flip(a)]. 4746 R(x,y,z) * (K(u,R(x,y,z)) * w) = R(x * K(u,x),y,z) * w. [para(4489(a,2),4496(a,1,1)),flip(a)]. 4748 K(T(x,y) \ 1,z) = T(K(x \ 1,z),y). [para(4359(a,1),4522(a,1,1)),flip(a)]. 4749 K(T(1 / x,y) \ 1,z) = T(K(x,z),y). [para(69(a,1),4748(a,2,1,1))]. 4751 ((x * y) * z) \ ((x * z) * R(T(y,x * z),x,z)) = K((((x * y) * z) \ (x * z)) \ 1,x). [para(832(a,1),4523(a,1,2,2))]. 4752 (x * y) \ ((z * T(z \ x,u)) * y) = K(((x * y) \ (z * y)) \ 1,u). [para(1100(a,1),4523(a,1,2))]. 4753 x \ T(x * y,z) = y * K((y \ (x \ 1)) \ 1,z). [hyper(785,a,4524,a)]. 4754 (x * y) * K(((x * y) \ y) \ 1,z) = T(x,z) * y. [hyper(571,a,4524,a),flip(a)]. 4755 x * T(x \ y,z) != y * u | K((y \ x) \ 1,z) = u. [para(4524(a,2),22(a,1))]. 4756 K((x / y) \ 1,z) * y = y * K((y \ x) \ 1,z). [hyper(189,a,4524,a(flip),b,4526,a)]. 4757 K(((x \ 1) / (x \ y)) \ 1,z) * (x \ y) = x \ T(y,z). [hyper(189,a,771,a(flip),b,4526,a)]. 4759 (x * (y * T(y \ z,u))) / (x * z) = K(((x * y) / (x * z)) \ 1,u). [hyper(76,a,712,a(flip),b,4526,a)]. 4760 K((x / y) \ 1,z) = K(y / x,z). [hyper(21,a,4378,a,b,4526,a)]. 4761 x \ (y * T(y \ x,x)) = K((y / x) \ 1,x). [hyper(75,a,4526,a(flip),b,2754,a(flip))]. 4763 K((x / y) \ 1,x) = K(x \ y,x). [hyper(189,a,3896,a(flip),b,4760,a)]. 4764 K(x / y,x) = K(y \ x,x). [hyper(189,a,4252,a(flip),b,4760,a(flip))]. 4765 K(x / (y * x),z) = K(y \ 1,z). [para(18(a,1),4760(a,1,1,1)),flip(a)]. 4767 K((x \ y) / y,z) = K(x \ 1,z). [para(67(a,1),4760(a,1,1,1)),flip(a)]. 4768 K(x,(y / z) \ 1) = K(z / y,x) \ 1. [para(4760(a,1),3871(a,1,1)),flip(a)]. 4769 K(x \ (y \ x),x) = K(y \ 1,x). [para(67(a,1),4763(a,1,1,1)),flip(a)]. 4770 ((x \ y) / y) \ K(x \ 1,((x \ y) / y) \ 1) = 1 / ((x \ y) / y). [hyper(75,a,4767,a(flip),b,1535,a(flip))]. 4771 K(((x \ 1) \ y) / y,z) != u | K(x,z) = u. [para(4767(a,2),2659(a,1))]. 4772 K(x \ 1,y) * ((y \ (x \ y)) \ z) = ((x \ y) / y) \ z. [para(4769(a,1),4308(a,1,1))]. 4773 K(x,(y / z) \ 1) = K(x,z / y). [hyper(189,a,3871,a(flip),b,4768,a)]. 4774 K(x,(y / z) \ 1) != u | K(x,z / y) = u. [para(4768(a,2),3872(a,1))]. 4775 K(x,1 / (y / z)) = K(x,z / y). [hyper(189,a,3083,a,b,4773,a(flip)),flip(a)]. 4776 K(x,y / (z * y)) = K(x,z \ 1). [para(18(a,1),4773(a,1,2,1)),flip(a)]. 4777 K(x,(y \ z) / z) = K(x,y \ 1). [para(67(a,1),4773(a,1,2,1)),flip(a)]. 4778 K(x,((y \ z) / z) \ 1) = K(x,y). [para(67(a,1),4773(a,2,2))]. 4779 K(x,1 / (K(y,z) / u)) = K(x,u * K(z,y)). [para(3890(a,1),4775(a,2,2))]. 4782 K(x,R(y / z,z,u) \ 1) != w | K(x,(z * u) / (y * u)) = w. [para(111(a,2),4774(a,1,2,1))]. 4783 (x * K(y,x)) * K(x,z) = T(x,z) * K(y,x). [hyper(3836,a,4545,a)]. 4784 (x \ y) * T((x \ y) \ y,z) != y * u | T(K(x,z),y) = u. [para(4548(a,2),148(a,2)),flip(a)]. 4785 (x \ 1) \ K(x \ y,x) = x * K(x \ 1,y). [hyper(189,a,1155,a(flip),b,4603,a)]. 4787 K(x \ y,x) * (x \ z) != u | ((x \ y) \ y) \ z = u. [para(4608(a,1),3914(a,1,2)),flip(b)]. 4789 ((T(x,y) \ 1) * x) * T((x \ 1) \ 1,z) = K(y,x) * T(x,z). [para(4633(a,1),2885(a,1,1))]. 4790 x * (K(y,y \ 1) * ((T(y,x) \ 1) * y)) = T(x,y). [para(2500(a,2),4636(a,1,2))]. 4791 T(x,y) \ T(x * K(z,x),y) != u | K(z,T(x,y)) = u. [para(4653(a,1),237(a,1,2)),flip(b)]. 4792 (x * y) \ (y * T(x * K(z,x),y)) = L(K(z,T(x,y)),T(x,y),y). [para(4653(a,1),153(a,1,2,2))]. 4793 T(x,y) * K(z,T(x,x * (y / x))) = T(x * K(z,x),x * (y / x)). [para(3510(a,1),4653(a,1,1))]. 4795 T(x * K(T(x,y) \ z,x),y) \ z = z / T(x,y). [para(4653(a,1),4310(a,1,1))]. 4796 T(R(x,y,x),z) / T(T(x,y),z) = K(x * y,T(T(x,y),z)). [para(4475(a,1),4657(a,1,1,1))]. 4797 T(T(x * K(y,x),z),u) / T(T(x,z),u) = K(y,T(T(x,z),u)). [para(4653(a,1),4657(a,1,1,1))]. 4798 T(x,y) * K(z,T(x,y)) != u | T(x * K(z,x),y) = u. [para(4658(a,1),203(a,1,2)),flip(b)]. 4799 T(x,y) \ T(x * K(x * z,x),y) = K(z * x,T(x,y)). [para(4617(a,1),4658(a,1,2,1,2))]. 4800 K(x,y) * T(x,z) != x * u | K(x,y) * K(x,z) = u. [para(4669(a,1),22(a,1))]. 4801 T(x,T(T(x,y) * y,z)) = K(T(x * y,z),x) \ x. [para(4674(a,1),4371(a,2,1))]. 4803 (x \ y) / (x \ T(y,x \ 1)) = K(x \ 1,y). [para(4726(a,1),3905(a,1,2))]. 4804 (x * K((x / y) \ 1,x)) / ((x \ y) * x) = x / y. [para(69(a,1),4728(a,1,2,1,2))]. 4805 (x \ K(x,y)) \ 1 = (x \ 1) \ K(y,x). [para(4497(a,1),4736(a,1,1))]. 4806 T(T(x,y) * z,K(x,y)) != u | (x * z) * K(x,y) = u. [para(4407(a,1),4237(a,1,1))]. 4807 K(x \ R(x,y,z),R(x,u,w)) = R(x,u,w) \ R(x,u,w). [para(3255(a,1),4366(a,1,1,1)),flip(a)]. 4808 K(R(x,y,z),x \ R(x,u,w)) = R(x,y,z) \ R(x,y,z). [para(3255(a,1),4398(a,1,2,1)),flip(a)]. 4811 (R(T(x,y),z,u) * (z * u)) / ((x * z) * u) = R(K(R(x,z,u),y),R(x,z,u),z * u). [para(4448(a,1),397(a,1,1)),flip(a)]. 4812 R(x * K(y,x),y,x) = x * K(y * x,x). [hyper(189,a,4375,a(flip),b,4484,a)]. 4813 ((x * K(y,x)) * y) / L(x,y,x * K(y * x,x)) = (R(x * K(y,x),y,x) * y) / x. [para(4812(a,1),1272(a,1,2,3))]. 4814 R(x * K(y,x),y,x) = x * K(x * y,x). [para(4617(a,1),4812(a,2,2))]. 4815 R(T(x * K(y,x),z),y,x) = T(x * K(x * y,x),z). [para(4814(a,1),45(a,2,1))]. 4818 R(K(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). [para(4359(a,1),4520(a,1,1))]. 4819 K(R(x,y,z) \ 1,u) * (y * z) = (K(x \ 1,u) * y) * z. [para(4818(a,1),110(a,1,1))]. 4820 K(R(x \ 1,y,z) \ 1,u) = R(K(x,u),y,z). [para(2648(a,1),4818(a,1,1)),flip(a)]. 4821 K(x,R(y \ 1,z,u) \ 1) = R(K(y,x),z,u) \ 1. [para(4820(a,1),3871(a,1,1)),flip(a)]. 4822 K(x,R(y \ 1,z,u) \ 1) * w = R(K(y,x),z,u) \ w. [para(4820(a,1),3889(a,1,1)),flip(a)]. 4823 T(K(x,R(y \ 1,z,u) \ 1),w) = T(R(K(y,x),z,u),w) \ 1. [para(4820(a,1),4266(a,1,1,1)),flip(a)]. 4824 L(K(x \ 1,y),z,u) = K(L(x,z,u) \ 1,y). [para(4359(a,1),4521(a,1,1))]. 4825 L(K(1 / x,y),z,u) = K(L(x,z,u) \ 1,y). [para(4392(a,1),4521(a,1,1))]. 4826 K(L(x,y,z) \ 1,x) = K(x \ 1,x). [hyper(189,a,4093,a(flip),b,4824,a(flip))]. 4827 (x * y) * K(L(z,y,x) \ 1,u) = x * (y * K(z \ 1,u)). [para(4824(a,1),102(a,1,2))]. 4828 K(L(x,y,z) \ 1,(x \ 1) * L((x \ 1) \ 1,u,w)) = L(1,y,z). [para(1342(a,1),4824(a,1,1)),flip(a)]. 4829 K(L(x \ 1,y,z) \ 1,u) = L(K(x,u),y,z). [para(2648(a,1),4824(a,1,1)),flip(a)]. 4830 K(L(T(1 / x,y),z,u) \ 1,w) = L(T(K(x,w),y),z,u). [para(4749(a,1),4824(a,1,1)),flip(a)]. 4831 (L(x,y,z) \ x) \ ((L(x,y,z) \ 1) * x) = K(x \ 1,x). [hyper(189,a,969,a,b,4826,a(flip)),flip(a)]. 4832 L(K(1 / x,y),z,u) = K(1 / L(x,z,u),y). [hyper(189,a,2647,a,b,4825,a)]. 4833 K(x,L(y \ 1,z,u) \ 1) = L(K(y,x),z,u) \ 1. [para(4829(a,1),3871(a,1,1)),flip(a)]. 4834 (x * K(L(y \ 1,z,u) \ 1,w)) \ x = L(K(y,w),z,u) \ 1. [para(4829(a,1),3868(a,2,1))]. 4835 L(K(1 / x,y),z,u) != w | K(L(x,z,u) \ 1,y) = w. [para(4832(a,2),4254(a,1))]. 4836 ((x * y) * T((x * y) \ x,z)) * y = (x * y) * K(y \ 1,z). [hyper(189,a,1100,a(flip),b,4528,a(flip)),flip(a)]. 4837 K(x,y) * ((1 / x) \ z) = z * T(z \ ((1 / x) \ z),y). [para(69(a,1),4530(a,1,1,1))]. 4838 (x * y) \ (K(x \ 1,z) * y) = T((x * y) \ y,z). [hyper(80,a,4531,a)]. 4839 ((1 / x) * y) * T(((1 / x) * y) \ y,z) = K(x,z) * y. [para(69(a,1),4531(a,2,1,1))]. 4840 x * (y \ T(y * (x \ (y \ 1)),z)) = K(x \ 1,z) * (y \ 1). [para(729(a,1),4532(a,1,2))]. 4842 K(x \ y,T((x \ y) * x,z)) = K(x \ y,T(y,T(z,y))). [para(3521(a,2),4580(a,2,2))]. 4843 T((x \ 1) \ K(x \ y,x),y * x) = y \ (y * x). [para(4805(a,1),4632(a,1,1))]. 4844 K(x / y,T(x,z)) = K(y \ x,T(x,z)). [hyper(4519,a,4642,a),flip(a)]. 4846 K(x,T(y,z) \ 1) = T(K(x,y \ 1),z). [para(4388(a,1),4646(a,1,1)),flip(a)]. 4847 K(x,T(1 / y,z) \ 1) = T(K(x,y),z). [para(69(a,1),4846(a,2,1,2))]. 4848 x * K(y,T(z,x) \ 1) = K(y,z \ 1) * x. [para(4846(a,2),113(a,1,2))]. 4851 K(x,y * K(z,y \ 1)) = T(K(x,y),z). [para(4678(a,1),4847(a,1,2))]. 4852 K(x,y * K(y * z,y \ 1)) = T(K(x,y),z * y). [para(4701(a,1),4851(a,1,2,2))]. 4853 K(x,(y / z) \ 1) * z = z * K(x,(z \ y) \ 1). [para(115(a,1),4848(a,1,2,2,1)),flip(a)]. 4854 x * K(y,x \ (z \ x)) = K(y,z \ 1) * x. [para(4267(a,1),4848(a,1,2,2))]. 4856 K(x,(y / z) \ 1) * y = y * K(x,y \ z). [para(69(a,1),4854(a,1,2,2,2)),flip(a)]. 4858 x * ((x \ y) * K(z,x \ y)) = y * K(z,(y \ x) \ 1). [hyper(189,a,4479,a(flip),b,4649,a),flip(a)]. 4859 (((x \ y) \ 1) \ x) * ((x \ y) \ 1) = x * K(y,(x \ y) \ 1). [para(17(a,1),4702(a,2,2,1))]. 4860 x * (y * K((y \ (x \ 1)) \ 1,z)) = T(x * y,z). [para(4753(a,1),17(a,1,2))]. 4861 T(x,T(T(x,y) * y,z)) = T(x,T(x * y,z)). [hyper(189,a,4371,a,b,4801,a)]. 4862 K(R(x,y,z),T(T(x,u) * u,w)) = R(T(x,T(x * u,w)),y,z) / R(x,y,z). [para(4861(a,1),4448(a,1,1,1)),flip(a)]. 4863 (x * K(x \ y,x)) / ((x \ y) * x) = x / y. [para(4763(a,1),4804(a,1,1,2))]. 4864 (x / (x / y)) / ((y \ x) * y) = y / x. [para(4318(a,2),4863(a,1,1))]. 4865 (x / y) \ (y / (y / x)) = (x \ y) * x. [para(4864(a,1),69(a,1,1))]. 4866 L(x,K(L(y \ 1,z,u) \ 1,w),L(K(y,w),z,u) \ 1) = x. [para(4833(a,1),3888(a,1,3))]. 4867 (x * y) * T((x * y) \ y,z) != u | K(x \ 1,z) * y = u. [para(4838(a,1),203(a,1,2)),flip(b)]. 4868 T(x * K(x \ 1,y),y * x) = y \ (y * x). [para(4785(a,1),4843(a,1,1))]. 4869 T(x * K(x \ 1,y),y * x) = x. [hyper(189,a,16,a(flip),b,4868,a)]. 4871 (x * K(x \ 1,y)) / x != z | K(y * x,x * K(x \ 1,y)) = z. [para(4869(a,1),4415(a,1,2))]. 4872 T(K(x,y),z * y) = T(K(x,y),y * z). [hyper(189,a,4851,a(flip),b,4852,a(flip))]. 4873 T(K(x,y),z * y) * K(y,x) = K(K(x,y),y * z). [para(4872(a,2),4445(a,1,1))]. 4874 x * K(y,(x \ z) \ 1) = K(y,x / z) * x. [para(4773(a,1),4853(a,1,1)),flip(a)]. 4875 T(K(x,y / z),y) = K(x,(y \ z) \ 1). [hyper(148,a,4874,a)]. 4876 K(x,y) * (z * K((z \ K(y,x)) \ 1,u)) = T(K(x,y) * z,u). [para(3871(a,1),4860(a,1,2,2,1,1,2))]. 4877 K(K(x,y),y * z) = K(z * y,K(y,x)). [hyper(4667,a,4873,a),flip(a)]. 4878 K(x * y,K(y,z)) = K(y * x,K(y,z)). [hyper(4693,a,4877,a),flip(a)]. 4880 L(T(x,y) \ 1,x,y) = (x * y) \ y. [hyper(1924,a,4684,a)]. 4881 (x * y) \ T(x,y) = (y * x) \ x. [hyper(189,a,4002,a(flip),b,4880,a(flip)),flip(a)]. 4882 a(1 / (x * y),x,y) \ T((1 / (x * y)) * x,y) = (y * ((1 / (x * y)) * x)) \ ((1 / (x * y)) * x). [para(167(a,1),4881(a,1,1))]. 4883 L(x * K(y,x),z,u) / L(x,z,u) != w | K(y,L(x,z,u)) = w. [para(4729(a,1),2757(a,1,1))]. 4884 L(x * K(y,x),z,u) \ L(x,z,u) != w | K(L(x,z,u),y) = w. [para(4729(a,1),3922(a,1,1))]. 4886 R(x * K(y,x),z,u) \ R(x,z,u) != w | K(R(x,z,u),y) = w. [para(4732(a,1),3922(a,1,1))]. 4888 K(R(x,y,z),T(x,u) * u) = R(x,y,z) / R(x * K(x * u,x),y,z). [para(4621(a,1),4744(a,1,2,1,2)),flip(a)]. 4891 T(x,x \ y) \ z != u | ((x \ y) \ y) \ z = u. [para(4558(a,1),4787(a,1))]. 4892 T(x,x \ y) \ R(T(z,z \ u),w,v5) != v6 | ((x \ y) \ y) \ R((z \ u) \ u,w,v5) = v6. [para(836(a,2),4891(a,1))]. 4893 T((x * y) / x,z) != u | T(y * K(x,y),z) = u. [para(4476(a,2),4798(a,1))]. 4894 L(K(x \ 1,y),z,u) != w | K(L(x,z,u) \ 1,y) = w. [para(2647(a,1),4835(a,1,1))]. 4895 T(x * K(T(x,y) \ y,x),y) = y / (T(y,x) / x). [hyper(4798,a,4335,a)]. 4896 T(x * K(x \ y,x),y) = y / (T(y,x) / x). [para(3680(a,1),4895(a,1,1,2))]. 4897 L(x,x \ y,x) = y / (T(y,x) / x). [hyper(189,a,4336,a(flip),b,4896,a(flip)),flip(a)]. 4898 T(x / (x / y),x) = x / (T(x,y) / y). [para(4318(a,2),4896(a,1,1))]. 4899 T((x \ L(y,y \ z,y)) * x,T(z,y) / y) = (x \ ((T(z,y) / y) \ z)) * x. [para(4897(a,2),4166(a,1,1,1,2))]. 4900 x / (x / T(y,x)) = T(x / (x / y),x). [para(3523(a,1),4898(a,2,2)),flip(a)]. 4901 T(x / (x / y),x) \ x = x / T(y,x). [para(4900(a,1),69(a,1,1))]. 4902 x * (x / (x / T(y,x))) = y * ((y \ x) * y). [para(4900(a,2),3645(a,1,2))]. 4903 ((x \ y) * x) * T(x,y) = y * (y / (y / T(x,y))). [hyper(189,a,3516,a,b,4902,a),flip(a)]. 4904 (x \ T(y,x)) * T(x,y) = (x \ y) * x. [hyper(3815,a,4903,a)]. 4906 (x \ 1) * (K(x,y) * ((x \ 1) \ z)) = K((x \ 1) \ 1,y) * z. [para(4401(a,2),4532(a,1,2))]. 4907 T(x * K(x * y,x),z) * y = y * R(T(x,z),y,x). [para(4815(a,1),4427(a,1,1))]. 4908 T(T(x * K(x * y,x),z),y) = R(T(x,z),y,x). [hyper(147,a,4907,a,b,xx)]. 4910 T(T(x * K(y * x,x),z),y) = R(T(x,z),y,x). [para(4617(a,2),4908(a,1,1,1,2))]. 4911 K(x,x \ 1) / ((y * x) \ y) = ((y * x) \ y) \ 1. [hyper(189,a,1999,a(flip),b,4459,a)]. 4912 (1 / ((x * y) \ x)) * K(y,y \ 1) = ((x * y) \ x) \ 1. [hyper(3206,a,4911,a)]. 4913 (((x * y) \ x) \ 1) \ K(y,y \ 1) != z | (x * y) \ x = z. [para(4911(a,1),236(a,1,1)),flip(b)]. 4914 (x \ R(y,z,u)) * K(((x \ R(y,z,u)) \ (x \ 1)) \ 1,w) = x \ R(T(y,w),z,u). [para(45(a,2),4525(a,2,2))]. 4915 ((x * y) * ((z * ((x * y) \ x)) / z)) * y = (x * y) * K(z,y \ 1). [hyper(189,a,1785,a(flip),b,4648,a(flip)),flip(a)]. 4916 (x * y) * (z * (L(y \ z,y,x) / z)) = (x * K(z,y \ 1)) * z. [para(4648(a,1),1810(a,1,1)),flip(a)]. 4917 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = (K(x,y \ 1) * z) * u. [para(4650(a,1),2145(a,2,1))]. 4918 x / (y * (((z \ ((y \ x) * u)) * z) / u)) = K(z,x / (y * (z / u))). [para(1579(a,1),4675(a,1,2,2))]. 4919 ((x * y) * z) / (x * (z * T(z \ (x \ ((x * y) * z)),u))) = K(u,R(y * K(x,y),x,z)). [para(4484(a,2),4675(a,2,2))]. 4920 K(x,y) * ((y \ ((x \ 1) \ y)) \ z) = (((x \ 1) \ y) / y) \ z. [para(2648(a,1),4772(a,1,1))]. 4921 K(x * y,T(y,z)) = K(y * x,T(y,z)). [hyper(4791,a,4799,a),flip(a)]. 4922 K(x \ R(x,y,z),R(x,u,w)) != v5 | 1 = v5. [para(4807(a,2),181(a,1))]. 4923 K(R(x,y,z),x \ R(x,u,w)) = 1. [hyper(189,a,59,a(flip),b,4808,a)]. 4926 (L(x,y,z) \ x) * K(x \ 1,x) = (L(x,y,z) \ 1) * x. [para(4831(a,1),17(a,1,2))]. 4927 (1 / x) * (K(x,y) * ((1 / x) \ z)) = K((1 / x) \ 1,y) * z. [para(4837(a,2),4532(a,1,2))]. 4928 L(K(x,y \ z),y \ z,y) = K(x,(z \ y) \ 1). [hyper(404,a,4858,a)]. 4929 (((x * y) \ x) \ 1) / ((y \ 1) \ 1) = (1 / ((x * y) \ x)) / y. [hyper(76,a,4912,a(flip),b,2257,a)]. 4930 ((L(x,y,z) \ 1) * x) * (1 / x) = (L(x,y,z) \ x) * (x \ 1). [para(4926(a,1),2284(a,1,1))]. 4931 T(x \ y,z) * (y \ (x * K(z,x \ y))) = T((x \ y) * (y \ (x * 1)),z). [para(4462(a,1),1926(a,1,2))]. 4932 (x * y) \ (y * (T(x,y) * z)) = L(z,x,y * K(x,y)). [para(4407(a,1),4509(a,1,2,2))]. 4933 L(x,y,z * K(y,z)) = L(x,T(y,z),z). [hyper(644,a,4932,a),flip(a)]. 4934 L(x,y,z * K(y,z)) != u | L(x,T(y,z),z) = u. [para(4932(a,1),644(a,1))]. 4935 (x * T(x \ y,z)) * (y \ 1) = K((x * (y \ 1)) \ 1,z). [hyper(4687,a,1159,a),flip(a)]. 4936 (x * K((x \ y) \ 1,z)) * (x \ 1) = K((y * (x \ 1)) \ 1,z). [para(4524(a,1),4935(a,1,1))]. 4937 R(K(x \ 1,y),z,u) != w | K(R(x,z,u) \ 1,y) = w. [para(4359(a,1),4688(a,1,1))]. 4938 R(T(x,y),z,x) / T(T(x,z),y) = K(x * z,T(T(x,z),y)). [para(45(a,2),4796(a,1,1))]. 4939 (K(x \ 1,y) * z) * u != w * (z * u) | K(R(x,z,u) \ 1,y) = w. [para(4819(a,1),23(a,1))]. 4940 K(((x * y) / (z * y)) \ 1,u) * (z * y) = (K((x / z) \ 1,u) * z) * y. [para(111(a,1),4819(a,1,1,1,1))]. 4941 (x * y) * z != x * (y * K(u \ 1,w)) | K(L(u,y,x) \ 1,w) = z. [para(4827(a,1),22(a,1)),flip(a)]. 4942 (x * y) * K(((x * y) \ z) \ 1,u) = x * (y * K((y \ (x \ z)) \ 1,u)). [para(183(a,1),4827(a,1,2,1,1))]. 4943 L(x,L(K(y,z),u,w),L(K(y,z),u,w) \ 1) = x. [para(4829(a,1),4866(a,1,2))]. 4944 x / (L(K(y,z),u,w) * x) = 1 / L(K(y,z),u,w). [hyper(76,a,4943,a(flip),b,2374,a)]. 4945 x / (L(K(y,z),u,w) * x) = L(K(y,z),u,w) \ 1. [hyper(189,a,2191,a(flip),b,4944,a)]. 4946 (L(K(x,y),z,u) \ 1) \ w = L(K(x,y),z,u) * w. [para(4945(a,1),69(a,1,1))]. 4947 x * (y * T(y \ (x \ y),z)) != u | K(x \ 1,z) * y = u. [para(713(a,1),4867(a,1))]. 4948 R(T(x,y) * K(T(y * L(x,z,u),T(x,y)),T(x,y)),w,v5) * (((x * y) * L(x,z,u)) / T(x,y)) = (((x * y) * L(x,z,u)) / T(x,y)) * R(T(x,y),w,v5). [para(1278(a,1),4334(a,1,1,1,2,1))]. 4949 T(x * y,z) / (y * x) = (y * x) \ T(x * y,z). [para(95(a,1),4458(a,1,2,1)),flip(a)]. 4950 ((x * y) \ T(y * x,z)) * (x * y) = T(y * x,z). [para(4949(a,1),19(a,1,1))]. 4952 (x * y) * K(R(y,x,y),x * y) = ((y * x) / R(y,x,y)) * y. [hyper(1649,a,4483,a),flip(a)]. 4953 T(T(x * K(y * T(x,z),x),u),y) = R(T(y \ (y * x),u),y,T(x,z)). [para(4492(a,1),763(a,1,1,1))]. 4954 T(x,x \ y) / (y \ x) = (((y \ x) \ 1) \ y) * ((y \ x) \ 1). [hyper(189,a,2534,a(flip),b,4588,a)]. 4955 (T(x,y) * y) / ((T(x,y) * y) / x) = x * K(y,x). [para(4430(a,1),4615(a,2,2))]. 4956 (x * (y \ T(y * z,u))) / (x * z) = K((x * z) / (x * (y \ 1)),u). [para(729(a,1),4637(a,1,1,2))]. 4957 K((x * y) / (x * (z \ y)),u) = (x * (K(z,u) * y)) / (x * y). [para(4548(a,1),4637(a,1,1,2)),flip(a)]. 4958 R(T(x,y),z,x) / T(T(x,y),z) = K(z * x,T(T(x,y),z)). [para(4910(a,1),4797(a,1,1))]. 4959 T(K(x,R(y \ 1,z,u) \ 1),w) = R(T(K(y,x),w),z,u) \ 1. [para(45(a,2),4823(a,2,1))]. 4960 (x * L(K(y,z),u,w)) \ x = L(K(y,z),u,w) \ 1. [para(4829(a,1),4834(a,1,1,2))]. 4961 (x * K(y \ 1,z)) * y = (x * y) * K(y \ 1,z). [para(4528(a,1),4836(a,1,1))]. 4963 x \ ((y * x) * K(x \ 1,z)) = T(y * K(x \ 1,z),x). [hyper(147,a,4961,a,b,17,a),flip(a)]. 4964 (x * K(y \ 1,z)) / y = (x / y) * K(y \ 1,z). [hyper(76,a,90,a(flip),b,4961,a)]. 4966 T((x / y) * K(y \ 1,z),y) != u | y \ (x * K(y \ 1,z)) = u. [para(4964(a,1),307(a,1,1))]. 4967 x \ ((y * x) * K(x \ 1,x)) = x * (T((x \ 1) \ 1,y) \ y). [hyper(189,a,4018,a(flip),b,4963,a)]. 4968 K(x,y) * (K(y,x) * T(K(y,x) \ z,u)) = T(K(x,y) * z,u). [para(4524(a,2),4876(a,1,2))]. 4969 T(K(x,y) * (z * K(y,x)),u) = K(x,y) * (T(z,u) * K(y,x)). [para(4754(a,1),4876(a,1,2)),flip(a)]. 4970 (x \ 1) * (K(x,y) * ((x \ 1) \ z)) = K(x,y) * z. [para(2648(a,1),4906(a,2,1))]. 4971 (1 / x) * (K(x,y) * ((1 / x) \ z)) = K(x,y) * z. [para(69(a,1),4927(a,2,1,1))]. 4972 K(x,y) * ((1 / x) * z) = (1 / x) * (K(x,y) * z). [para(16(a,1),4971(a,1,2,2)),flip(a)]. 4974 (K(x,y) * ((1 / x) * z)) / (K(x,y) * z) = 1 / x. [hyper(76,a,4972,a,b,xx)]. 4975 (K(x,y) * z) \ (K(x,y) * ((1 / x) * z)) = T(1 / x,K(x,y) * z). [hyper(75,a,4972,a,b,113,a)]. 4979 K((x * ((1 / y) \ 1)) \ 1,z) / y = (1 / y) * K(((1 / y) \ x) \ 1,z). [hyper(257,a,4936,a)]. 4980 ((x * y) / R(x,y,x)) * x = (y * x) * K(T(x,y),y * x). [para(3899(a,1),4952(a,1,2)),flip(a)]. 4981 ((x * y) / R(x,y,x)) * x = T(x,y * x) * T(y,x). [hyper(189,a,4474,a(flip),b,4980,a)]. 4982 T(x,(x \ y) * x) * T(x \ y,x) = (y / R(x,x \ y,x)) * x. [para(17(a,1),4981(a,1,1,1)),flip(a)]. 4983 R(T(K(x,y),z),u,w) \ 1 = T(R(K(x,y),u,w) \ 1,z). [para(4821(a,1),4959(a,1,1)),flip(a)]. 4984 x * (T((x \ 1) \ 1,y) \ y) = x \ (y * (1 / (1 / x))). [para(2611(a,1),4967(a,1,2)),flip(a)]. 4985 T(K(x \ 1,x) * y,z) = K(x \ 1,x) * T(y,z). [para(4149(a,1),4968(a,1,2)),flip(a)]. 4987 T(x * K(y \ 1,y),z) = K(y \ 1,y) * T(x,z). [para(2475(a,1),4985(a,1,1))]. 4988 T(K(x,y) * K(z \ 1,z),x) = K(z \ 1,z) * K(x,y). [para(2649(a,1),4987(a,2,2))]. 4989 T((T(x,y) \ 1) * x,y) = K(x \ 1,x) * K(y,x). [para(4633(a,1),4988(a,1,1))]. 4990 T((T(x,y) \ 1) * x,y) = (T(x,y) \ 1) * x. [hyper(189,a,4635,a(flip),b,4989,a)]. 4992 T(K(x,y) * (z * K(y,x)),u) != K(x,y) * w | T(z,u) * K(y,x) = w. [para(4969(a,2),22(a,1))]. 4993 R(x \ y,(y / x) \ x,x \ y) = ((y / x) \ x) \ x. [para(4717(a,1),4720(a,2,1))]. 4994 R(x * K(y,x),z,u) * (z * u) = K(y,R(x,z,u)) * ((x * z) * u). [hyper(3847,a,4746,a),flip(a)]. 4995 L(K(x,T(y,z)),T(y,z),z) = (y * z) \ ((y * K(x,y)) * z). [para(113(a,1),4792(a,1,2)),flip(a)]. 4996 R(T(K(x,y),y * z),y,z) = L(K(x,T(y,z)),T(y,z),z). [hyper(189,a,2770,a(flip),b,4995,a),flip(a)]. 4997 K(L(x,y,z) \ 1,(x \ 1) * L((x \ 1) \ 1,u,w)) = 1. [hyper(189,a,265,a(flip),b,4828,a)]. 4999 K(L(x,y,z) \ 1,x \ L(x,u,w)) = 1. [para(854(a,1),4997(a,1,2))]. 5000 T(L(x,y,z) \ 1,x \ L(x,u,w)) = L(x,y,z) \ 1. [hyper(40,a,4999,a)]. 5001 T(x \ L(x,y,z),L(x,u,w) \ 1) = x \ L(x,y,z). [hyper(38,a,5000,a)]. 5002 T(L(x,y,z) * (x \ 1),L(x,u,w) \ 1) = x \ L(x,y,z). [para(962(a,2),5001(a,1,1))]. 5003 (L(x,y,z) * (x \ 1)) \ (x \ 1) = (x \ 1) / (x \ L(x,y,z)). [para(5002(a,1),3758(a,1,2)),flip(a)]. 5004 (L(x,y,z) * (x \ 1)) \ (x \ 1) = L(x,y,z) \ 1. [hyper(189,a,2169,a(flip),b,5003,a)]. 5005 (x \ L(x,y,z)) \ (x \ 1) = L(x,y,z) \ 1. [para(962(a,1),5004(a,1,1))]. 5006 (L(x,y,z) \ x) * (x \ 1) = L(x,y,z) \ 1. [hyper(189,a,4700,a(flip),b,5005,a(flip)),flip(a)]. 5007 (L(x,y,z) \ x) \ (L(x,y,z) \ 1) = x \ 1. [hyper(75,a,5005,a(flip),b,4700,a(flip))]. 5008 (L(1 / x,y,z) \ 1) / x = L(1 / x,y,z) \ (1 / x). [hyper(257,a,5006,a)]. 5009 (L(x \ 1,y,z) \ (x \ 1)) * T(1 / (1 / x),x \ 1) = K(x \ 1,x) * (L(x \ 1,y,z) \ 1). [para(5006(a,1),4137(a,1,2)),flip(a)]. 5010 (x / R(y,y \ x,y)) * y = T(y,x) * T(y \ x,y). [para(3508(a,1),4982(a,1,1)),flip(a)]. 5011 (x / R(y,y \ x,y)) * y = (y \ x) * T(y,x). [hyper(189,a,3333,a(flip),b,5010,a)]. 5012 x / R(y,y \ x,y) = y \ (x * K(y,x)). [hyper(21,a,4499,a,b,5011,a)]. 5013 x / R(y,y \ x,y) = (y * K(x,y)) \ x. [hyper(189,a,4641,a,b,5012,a)]. 5014 x / ((y \ x) \ T(x,y)) = (y * K(x,y)) \ x. [para(3670(a,1),5013(a,1,2))]. 5015 ((x * K(y,x)) \ y) \ y = (x \ y) \ T(y,x). [para(5014(a,1),69(a,1,1))]. 5016 (x \ (y * K(x,y))) \ y = (x \ y) \ T(y,x). [para(4641(a,1),5015(a,1,1))]. 5017 (x \ ((x * y) / x)) \ y = (x \ y) \ T(y,x). [para(4375(a,2),5016(a,1,1,2))]. 5018 a(x,y,z) \ K(a(x,y,z),z \ L(z,y,x)) = 1 / a(x,y,z). [para(4402(a,2),1758(a,1,2))]. 5019 T(x * K(y,x),z) * (x \ y) = x \ (y * T(x,z)). [hyper(189,a,1101,a(flip),b,4601,a(flip))]. 5020 T(T(x,y) * K(x * y,T(x,y)),z) * (T(x,y) \ (x * y)) = T(x,y) \ ((T(x,z) * y) * T(x,y)). [para(1514(a,2),5019(a,2,2))]. 5021 (K(x,y) * (((1 / x) * z) * T(((1 / x) * z) \ z,u))) / (K(x,y) * z) = K((1 / x) \ 1,u). [para(4974(a,1),4759(a,2,1,1))]. 5022 ((x \ y) / y) \ K(x \ 1,x) = 1 / ((x \ y) / y). [para(4778(a,1),4770(a,1,2))]. 5023 (((x \ 1) \ y) / y) \ K(x,x \ 1) = 1 / (((x \ 1) \ y) / y). [para(1838(a,1),5022(a,1,2))]. 5025 T(x * K(y,x),x * (z / x)) = T(x,z) * K(y,T(x,z)). [para(3510(a,1),4793(a,1,2,2)),flip(a)]. 5026 T(x * K(y,x),x * (z / x)) = T(x * K(y,x),z). [hyper(189,a,4653,a(flip),b,5025,a)]. 5027 T(x * K(y,x),T(z * x,u)) = T(x * K(y,x),T(x * z,u)). [para(4159(a,1),5026(a,1,2)),flip(a)]. 5028 (x * K(y,z \ 1)) * z = (x * z) * K(y,z \ 1). [para(4648(a,1),4915(a,1,1))]. 5032 (x * K(y,(z \ 1) \ 1)) * (z \ 1) = (x * (z \ 1)) * K(y,z). [para(3081(a,1),5028(a,2,2))]. 5033 (x * K(y,z)) * (z \ 1) = (x * (z \ 1)) * K(y,z). [para(3081(a,1),5032(a,1,1,2))]. 5034 L(T(1 / x,y),y,K(x,z)) = T(1 / x,K(x,z) * y). [hyper(645,a,4975,a)]. 5035 L(T(K(x,y),z),z,K(x,u)) = K(T(1 / x,K(x,u) * z) \ 1,y). [para(5034(a,1),4830(a,1,1,1)),flip(a)]. 5036 L(T(K(x,y),z),z,K(x,u)) = T(K(x,y),K(x,u) * z). [hyper(189,a,4749,a(flip),b,5035,a)]. 5037 K(x,R(y,z,u)) * ((y * z) * u) = ((y * K(x,y)) * z) * u. [hyper(204,a,4994,a),flip(a)]. 5038 K(x,R(y,z,u)) * ((y * z) * u) = (y * (K(x,y) * z)) * u. [para(3828(a,1),5037(a,2,1))]. 5039 (x * y) \ (x * ((y * z) * K(u \ 1,u))) = L(z,y,x) * K(u \ 1,u). [para(4068(a,1),4071(a,1,2))]. 5041 (x * y) \ (x * ((y * z) * K(u,u \ 1))) = K(u,u \ 1) * L(z,y,x). [para(4077(a,1),4132(a,1,2))]. 5042 ((x \ (y * (z \ 1))) * x) / (z \ 1) = z * ((x \ (z \ y)) * x). [para(3272(a,1),4190(a,1,1))]. 5043 x / (y * ((z \ (y \ x)) * z)) = K(z,x / (z / (y \ 1))). [para(5042(a,1),4676(a,1,2))]. 5044 x / (y * (z * ((u \ (z \ (y \ x))) * u))) = K(u,x / (y * (u / (z \ 1)))). [para(5042(a,1),4918(a,1,2,2))]. 5045 R(x * K(y,x),y,L(x,z,u)) = x * K(y * L(x,z,u),x). [hyper(4506,a,4491,a)]. 5046 T(x * K(y * L(x,z,u),x),y) = R(x,y,L(x,z,u)). [para(4491(a,1),603(a,2,1)),flip(a)]. 5047 T(T(x * K(y * L(x,z,u),x),w),y) = R(T(y \ (y * x),w),y,L(x,z,u)). [para(4491(a,1),763(a,1,1,1))]. 5048 T(x,y) * K(y * L(x,z,u),T(x,y)) = R(x,y,L(x,z,u)). [hyper(4661,a,5046,a)]. 5049 T(R(x,y,z) * K(u * R(1 / (1 / x),y,z),R(x,y,z)),u) = R(R(x,y,z),u,L(R(x,y,z),x \ 1,x)). [para(475(a,1),5046(a,1,1,2,1,2))]. 5050 T(T(x * K(y * L(T(x,z),u,w),x),z),y) = R(T(x,z),y,L(T(x,z),u,w)). [para(4653(a,1),5046(a,1,1))]. 5051 (x / (y * K(z,y))) * R(y * K(z,y),z,L(y,u,w)) = (x * (y * K(z * L(y,u,w),y))) / (y * K(z,y)). [para(5045(a,1),1646(a,1,1,2)),flip(a)]. 5052 T(T(x * K(y * R(x,z,u),x),w),y) = R(T(y \ (y * x),w),y,R(x,z,u)). [para(4493(a,1),763(a,1,1,1))]. 5053 (x * y) * (z \ T(z * L(y \ (z \ 1),y,x),u)) = (x * K(y \ 1,u)) * (z \ 1). [para(729(a,1),4533(a,1,2))]. 5055 L(L(x * K(y,x),z,u),w,v5) * y = y * L(L(x,w,v5),z,u). [para(4729(a,1),4730(a,1,1,1))]. 5056 K(R(x,y,z),T(x,u) * u) = K(R(x,y,z),x * u). [hyper(189,a,4744,a(flip),b,4888,a)]. 5057 T(T(x * K(y * T(x,z),x),u),y) = R(T(x,u),y,T(x,z)). [para(16(a,1),4953(a,2,1,1))]. 5058 (x * y) \ (x * (y * (z * K(u \ 1,u)))) = L(z,y,x) * K(u \ 1,u). [para(4068(a,1),5039(a,1,2,2))]. 5059 (x * y) \ (x * (y * (z * K(u,u \ 1)))) = K(u,u \ 1) * L(z,y,x). [para(4077(a,1),5041(a,1,2,2))]. 5060 L(x * K(y \ 1,y),z,u) = L(x,z,u) * K(y \ 1,y). [hyper(355,a,5058,a)]. 5061 K(x \ 1,L(x,y,z)) = K(x \ 1,x). [hyper(4740,a,5060,a)]. 5062 L(x * K(y \ 1,y),z,u) = K(y \ 1,y) * L(x,z,u). [hyper(189,a,2475,a,b,5060,a)]. 5063 (x * y) * K(z \ 1,L(z,u,w)) = x * (y * K(z \ 1,z)). [para(5061(a,2),4068(a,1,2))]. 5064 L(K(x \ 1,x) * y,z,u) = K(x \ 1,x) * L(y,z,u). [para(2475(a,2),5062(a,1,1))]. 5065 (x * y) * K(z \ 1,L(z,u,w)) = x * (y * K(z \ 1,L(z,v5,v6))). [para(5061(a,2),5063(a,2,2,2))]. 5066 K(L(x,y,z) \ 1,L(x,u,w)) = K(x \ 1,L(x,v5,v6)). [hyper(4941,a,5065,a)]. 5067 K(x \ 1,L(x,y,z)) * (u / L(x,w,v5)) = u / ((L(x,w,v5) \ 1) \ 1). [para(5066(a,1),2483(a,1,1))]. 5068 K(x \ 1,L(x,y,z)) * (x / L(x,u,w)) = x * T(L(x,u,w) \ 1,x). [para(5066(a,1),2544(a,1,1))]. 5069 K(L(x,y,z) \ 1,L(x,u,w)) * K(L(x,v5,v6),x \ 1) = 1. [para(5066(a,2),3878(a,1,1))]. 5070 K(L(x,y,z),L(x,u,w) \ 1) = K(L(x,v5,v6),x \ 1). [hyper(3894,a,5069,a)]. 5071 L(x,y,z) \ K(L(x,u,w),x \ 1) = 1 / L(x,y,z). [hyper(75,a,5070,a(flip),b,1535,a(flip))]. 5072 L(x,y,z) \ K(x,x \ 1) = 1 / L(x,y,z). [para(262(a,1),5071(a,1,2,1))]. 5073 L(x,y,z) \ (1 / x) = x \ (1 / L(x,y,z)). [hyper(75,a,5072,a(flip),b,1551,a(flip)),flip(a)]. 5074 L(x * K(y,y \ 1),z,u) = K(y,y \ 1) * L(x,z,u). [hyper(355,a,5059,a)]. 5075 L(x * K(y,y \ 1),z,u) = L(x,z,u) * K(y,y \ 1). [hyper(189,a,2502,a(flip),b,5074,a)]. 5076 K(x,x \ 1) * L(x,y,z) = L(T(x,x \ 1),y,z). [para(1754(a,1),5074(a,1,1)),flip(a)]. 5077 (x \ 1) * L(((1 / x) \ y) * K(x,x \ 1),z,u) = L(y * x,z,u) / x. [para(5074(a,2),2456(a,1,2))]. 5078 K(L(x,y,z),x \ 1) = K(x,x \ 1). [hyper(21,a,4446,a,b,5076,a),flip(a)]. 5079 (x * y) * K(L(z,u,w),z \ 1) = x * (y * K(z,z \ 1)). [para(5078(a,2),4077(a,1,2))]. 5080 K(x,L(x \ 1,y,z)) = K(x,x \ 1). [hyper(4740,a,5075,a)]. 5081 L(x \ 1,y,z) * K(x,x \ 1) = L(1 / x,y,z). [para(1541(a,1),5075(a,1,1)),flip(a)]. 5082 L(x * K(y \ z,(y \ z) \ 1),u,w) = L(x,u,w) * K(y \ z,z \ y). [para(1992(a,1),5075(a,2,2))]. 5083 L(x,y,z) \ K(x,L(x \ 1,u,w)) = 1 / L(x,y,z). [para(5080(a,2),5072(a,1,2))]. 5084 L(x \ 1,y,z) \ K(x \ 1,x) = L(1 / x,y,z) \ 1. [para(5081(a,1),3205(a,1,1)),flip(a)]. 5085 L(1 / x,y,z) \ (1 / x) = L(x \ 1,y,z) \ (x \ 1). [para(5081(a,1),3214(a,1,1))]. 5086 (x \ 1) * (L(x \ 1,y,z) \ x) = L(1 / x,y,z) \ 1. [hyper(189,a,970,a(flip),b,5084,a(flip)),flip(a)]. 5087 K(L(x \ 1,y,z),(x \ 1) \ 1) = K(L(x,u,w) \ 1,(x \ 1) \ 1). [hyper(4941,a,5079,a),flip(a)]. 5088 K(L(x \ 1,y,z),(x \ 1) \ 1) = K(L(x,u,w) \ 1,x). [hyper(189,a,3081,a(flip),b,5087,a)]. 5089 K(L(x \ 1,y,z),x) = K(L(x,u,w) \ 1,x). [hyper(189,a,3081,a(flip),b,5088,a(flip)),flip(a)]. 5090 K(x,L(x,y,z) \ 1) = K(L(x \ 1,u,w),x) \ 1. [para(5089(a,2),3871(a,1,1)),flip(a)]. 5091 K(x,L(x \ 1,y,z)) = K(x,L(x,u,w) \ 1). [hyper(189,a,3871,a(flip),b,5090,a),flip(a)]. 5092 L(x,y,z) \ K(x,L(x,u,w) \ 1) = 1 / L(x,y,z). [para(5091(a,1),5083(a,1,2))]. 5093 (L(x,y,z) \ x) / x = 1 / L(x,y,z). [hyper(189,a,4652,a(flip),b,5092,a(flip)),flip(a)]. 5095 (1 / L(x,y,z)) * x = L(x,y,z) \ x. [para(5093(a,1),19(a,1,1))]. 5096 x / L(x,y,z) = L(x,y,z) \ x. [hyper(1264,a,5095,a)]. 5097 (L(x,y,z) \ x) * L(x,y,z) = x. [para(5096(a,1),19(a,1,1))]. 5098 (L(x,y,z) \ x) \ x = L(x,y,z). [para(5096(a,1),69(a,1,1))]. 5099 K(x \ 1,L(x,y,z)) * (u / L(x,w,v5)) = u / L((x \ 1) \ 1,w,v5). [para(2200(a,2),5067(a,2,2))]. 5100 K(x \ 1,L(x,y,z)) * (x / L(x,u,w)) != v5 | (L(x,u,w) \ 1) * x = v5. [para(5068(a,2),205(a,1))]. 5102 ((x \ (y * T(x,z))) * x) / T(x,z) = K(z,x) * T(K(z,x) \ y,x). [para(4356(a,2),4387(a,2,2,1,1))]. 5103 (K(x,y) * T(K(x,y) \ z,y)) * T(y,x) = (y \ (z * T(y,x))) * y. [para(5102(a,1),19(a,1,1))]. 5104 (x \ (y * T(x,z))) * x != u * T(x,z) | K(z,x) * T(K(z,x) \ y,x) = u. [para(5103(a,1),23(a,1))]. 5105 T(x,x \ y) \ R(T(x,x \ y),z,u) = x \ (y \ ((R(x,z,u) * (x \ y)) * x)). [hyper(75,a,4419,a(flip),b,4382,a),flip(a)]. 5106 L(L(x,y,z),z * y,K(z,u)) = (T(z,u) * y) \ (T(z,u) * (y * x)). [para(4407(a,1),4574(a,1,2)),flip(a)]. 5107 L(L(x,y,z),z * y,K(z,u)) != w | L(x,y,T(z,u)) = w. [para(5106(a,2),355(a,1))]. 5108 T(x \ y,z) * (y \ (x * K(z,x \ y))) = T((x \ y) * (y \ x),z). [para(15(a,1),4931(a,2,1,2,2))]. 5109 (x * y) * K(((x * y) \ (z * y)) \ 1,u) = (K((z / x) \ 1,u) * x) * y. [hyper(189,a,4756,a(flip),b,4940,a(flip)),flip(a)]. 5110 (1 / x) * K(((1 / x) \ y) \ 1,z) = K((y * x) \ 1,z) / x. [para(69(a,1),4979(a,1,1,1,1,2)),flip(a)]. 5111 x / L((y \ ((z \ 1) \ (z \ x))) * y,z \ 1,z) = K(y,x / (z * (y / ((z \ 1) \ 1)))). [para(166(a,1),5044(a,1,2))]. 5112 (x \ 1) * L((x \ 1) \ y,z,u) = L(y * x,z,u) / x. [para(2508(a,1),5077(a,1,2,1))]. 5113 L(x * y,z,u) / y = y \ L(y * x,z,u). [hyper(189,a,817,a(flip),b,5112,a(flip))]. 5114 (x \ L(x * y,z,u)) * x = L(y * x,z,u). [para(5113(a,1),19(a,1,1))]. 5115 x \ L(x * (y / x),z,u) = L(y,z,u) / x. [para(19(a,1),5113(a,1,1,1)),flip(a)]. 5116 L((x \ y) * x,z,u) = (x \ L(y,z,u)) * x. [para(17(a,1),5114(a,1,1,2,1)),flip(a)]. 5117 L(x * (y / x),z,u) = x * (L(y,z,u) / x). [para(5115(a,1),17(a,1,2)),flip(a)]. 5118 L(T((x \ y) * x,z),u,w) = T((x \ L(y,u,w)) * x,z). [para(5116(a,1),43(a,2,1))]. 5119 L((x \ ((y \ 1) \ z)) * x,y \ 1,y) = (x \ (y * z)) * x. [para(362(a,1),5116(a,2,1,2))]. 5120 K(x,L(x * (y / x),z,u)) = K(x,L(y,z,u)). [para(5117(a,2),4578(a,1,2))]. 5121 (x * y) * L(z * ((y \ z) / z),y,x) = (x * K(z,y \ 1)) * z. [para(5117(a,2),4916(a,1,2))]. 5122 L((x \ ((y \ 1) \ (y \ z))) * x,y \ 1,y) = (x \ z) * x. [para(17(a,1),5119(a,2,1,2))]. 5123 x / L((y \ ((z \ 1) \ (z \ x))) * y,z \ 1,z) = K(y,y \ x). [para(5122(a,2),4294(a,1,2))]. 5124 x * (y * (z * ((y \ z) / z))) = (x * K(z,y \ 1)) * z. [hyper(207,a,5121,a)]. 5125 (x * K(y,z \ 1)) * y = x * T(y,z \ 1). [para(3357(a,1),5124(a,1,2)),flip(a)]. 5130 (x * K(y,z)) * y = x * T(y,(z \ 1) \ 1). [para(3081(a,1),5125(a,1,1,2))]. 5132 (x * K(y,z)) * y = x * T(y,z). [para(2671(a,1),5130(a,2,2))]. 5133 x * T(y * K(x,z),x) = y * T(x,z). [hyper(206,a,5132,a)]. 5134 (K(x,y) * K(y,z)) * y = T(y,z) * K(x,y). [hyper(189,a,2759,a,b,5132,a)]. 5136 (x * K(y,z)) \ (x * T(y,z)) = y. [hyper(80,a,5132,a)]. 5138 (x * y) * K(T(x,y),z) = T(x,z) * y. [hyper(21,a,1514,a,b,5132,a)]. 5139 (x * y) * K(y,z) = x * T(y,z). [hyper(21,a,1476,a,b,5132,a)]. 5140 (x / y) * T(y,z) = x * K(y,z). [hyper(21,a,1461,a,b,5132,a),flip(a)]. 5142 (x * (y * T(z,u))) \ ((x * (y * K(z,u))) * z) = a(x,y * K(z,u),z). [para(5132(a,1),27(a,2,1,2)),flip(a)]. 5143 L(x \ 1,x,y * K(x,z)) = (y * T(x,z)) \ (y * K(x,z)). [para(5132(a,1),140(a,2,1))]. 5145 x \ (y * T(x,z)) != u | T(y * K(x,z),x) = u. [para(5132(a,1),238(a,1,2))]. 5146 (x * K(y,z)) * T(z,y) = x * z. [para(3919(a,1),5132(a,1,1)),flip(a)]. 5148 (T(x,y) \ 1) * y = (x \ 1) * T(y,x). [para(4369(a,1),5132(a,1,1))]. 5149 K(x,y * K(x,z)) * K(y * T(x,z),x) = x \ R(x,y * K(x,z),x). [para(5132(a,1),4696(a,1,2,1))]. 5150 L(x,K(x,y),z) = x. [hyper(4453,a,5136,a)]. 5151 (x * K(y,z)) \ (x * y) = y * K(z,y). [hyper(189,a,4507,a(flip),b,5150,a(flip)),flip(a)]. 5156 R(x,y,K(y,z)) = x. [hyper(4440,a,5139,a)]. 5157 (x * y) / K(z,y) = x * T(y,z). [hyper(3953,a,5139,a)]. 5158 (x * T(y,z)) * K(z,y) = x * y. [hyper(3929,a,5139,a)]. 5159 (x / y) \ (x * K(y,z)) = T(y,z). [hyper(430,a,5139,a)]. 5160 x * T(x \ y,z) = y * K(x \ y,z). [hyper(411,a,5139,a),flip(a)]. 5162 (K(x,x \ 1) * y) * K(y,z) = T(K(x,x \ 1) * y,z). [hyper(189,a,4147,a,b,5139,a)]. 5164 ((x / T(y,z)) * y) \ x = K(y,z). [hyper(75,a,19,a(flip),b,5139,a)]. 5165 (x * K(y,z)) \ ((x * y) * K(y,z)) = y. [hyper(75,a,5139,a,b,5132,a)]. 5167 (x * y) * K(y,z) != x * u | T(y,z) = u. [para(5139(a,2),22(a,1))]. 5168 K(x,y) \ (z * T(x,y)) != u | T(z * x,K(x,y)) = u. [para(5139(a,1),238(a,1,2))]. 5172 T(x,x \ T(y,z)) * K(y,z) = (x / y) * T(x * (y / x),z). [hyper(189,a,4203,a(flip),b,5140,a(flip))]. 5174 x * K(y \ x,z) != u | y * T(y \ x,z) = u. [para(5140(a,1),456(a,1))]. 5175 (x / y) \ T(x * K(y,z),(x / y) \ 1) = (((x / y) \ 1) \ T(y,z)) * ((x / y) \ 1). [para(5140(a,1),768(a,1,2,1))]. 5176 (x / T(y,z)) * y = x * K(z,y). [hyper(1489,a,5146,a)]. 5177 (x / T(y,z)) / K(z,y) = x / y. [hyper(418,a,5146,a),flip(a)]. 5178 (x / y) * K(z,y) = x / T(y,z). [hyper(76,a,19,a(flip),b,5146,a),flip(a)]. 5179 (K(x,y) * K(z,y * x)) \ (x * y) = T(y * x,z). [hyper(75,a,4373,a(flip),b,5146,a)]. 5180 (x \ y) * K(y,x) = x \ T(y,x). [hyper(21,a,4904,a,b,5146,a)]. 5183 (x * T(y,z)) * T(z,y) = (x * y) * z. [para(5139(a,1),5146(a,1,1))]. 5184 (x * T(x \ y,z)) \ y = K(z,x \ y). [para(5157(a,1),184(a,1,1))]. 5185 (x * T(y * K(z,y),u)) / K(z,T(y * K(z,y),u)) = x * T(y,u). [para(4420(a,1),5157(a,2,2))]. 5189 (x * y) * K(y,z) != u | x * T(y,z) = u. [para(5158(a,1),3921(a,1,1)),flip(b)]. 5190 (x * K(y,z)) * z = (x * z) * K(y,z). [para(5146(a,1),5158(a,1,1)),flip(a)]. 5191 ((x / y) \ T(x * K(y,z),(x / y) \ 1)) / T(y,z) = K(x * K(y,z),(x / y) \ 1). [para(5159(a,1),4727(a,1,2))]. 5192 T(x,y) / ((z / x) \ T(z * K(x,y),(z / x) \ 1)) = K((z / x) \ 1,z * K(x,y)). [para(5159(a,1),4803(a,1,1))]. 5194 (x / y) * K(z,y) != u | x / T(y,z) = u. [para(5177(a,1),200(a,1,1)),flip(b)]. 5196 (x / y) * K(x,y) != z | T(x,y) / y = z. [para(5178(a,2),3580(a,1))]. 5198 x \ T(x * y,x) = y * K(x * y,x). [para(16(a,1),5180(a,1,1)),flip(a)]. 5200 x \ T(x * K(y \ 1,y),z) = T(K(y \ 1,y) * K(x,z),x). [hyper(75,a,4987,a,b,5133,a)]. 5202 x * T(y,z) != u | (x * K(y,z)) * y = u. [para(5133(a,1),205(a,1))]. 5206 (x * K(y,z)) * (y * K(z,y)) = x * y. [para(5151(a,1),17(a,1,2))]. 5207 x / (y * K(z,y)) = (x / y) * K(y,z). [para(5151(a,1),234(a,1,2))]. 5208 K((x \ y) \ y,z) = T(K(x,z),y). [hyper(4784,a,5160,a),flip(a)]. 5209 K((x \ y) \ 1,z) = K(y \ x,z). [hyper(4755,a,5160,a)]. 5210 T(K(x / y,z),x) = K(y \ x,z). [hyper(4639,a,5160,a)]. 5211 x \ T(x * y,z) = y * K((x \ 1) \ y,z). [hyper(785,a,5160,a)]. 5212 (x \ y) * K((x \ 1) \ (x \ y),z) = x \ T(y,z). [hyper(189,a,771,a(flip),b,5160,a(flip))]. 5217 x \ (y * T(y \ x,z)) != u | K(y \ x,z) = u. [para(5160(a,2),237(a,1,2)),flip(b)]. 5219 R(T(K(x \ y,y),y * z),y,z) = (y * z) \ ((x * T(x \ y,y)) * z). [para(5160(a,2),2770(a,1,2,1)),flip(a)]. 5222 K(T(x,x \ y),z) = T(K(x,z),y). [para(114(a,2),5208(a,1,1))]. 5223 T(K(x,y),z * x) = K(T(x,z),y). [para(3555(a,2),5208(a,1,1)),flip(a)]. 5224 K(((x * y) \ x) \ 1,z) = K(y,z). [hyper(189,a,1215,a(flip),b,5209,a)]. 5226 K(T(x,y) \ 1,z) = K((x * y) \ y,z). [para(35(a,2),5209(a,1,1,1))]. 5228 K(L(x \ y,x,z) \ 1,u) = K((z * y) \ (z * x),u). [para(104(a,2),5209(a,1,1,1))]. 5231 K(x,(y \ z) \ 1) = K(z \ y,x) \ 1. [para(5209(a,1),3871(a,1,1)),flip(a)]. 5233 K(x \ y,z) \ z != u | T(z,(y \ x) \ 1) = u. [para(5209(a,1),4386(a,1,1))]. 5235 K(L(x \ y,z,u) \ 1,w) = L(K(y \ x,w),z,u). [para(5209(a,1),4824(a,1,1)),flip(a)]. 5236 (1 / x) * K(y \ (1 / x),z) = K((y * x) \ 1,z) / x. [para(5209(a,1),5110(a,1,2))]. 5237 T(((x * y) \ x) \ 1,z) = ((x * y) \ x) \ K(y,z). [hyper(75,a,5224,a(flip),b,4359,a),flip(a)]. 5238 (1 / ((x * y) \ x)) * K(y,z) = T(1 / ((x * y) \ x),z). [para(5224(a,1),4442(a,1,2))]. 5239 R(T(x,y * K(x,z)),y,K(x,z)) = T(x,y). [para(5165(a,1),832(a,1,1)),flip(a)]. 5241 ((x * y) * z) / (y * z) = R(x,T(y,z),T(z,y)). [hyper(76,a,5183,a(flip),b,3579,a)]. 5243 (x \ T(x * y,z)) \ y = K(z,(x \ 1) \ y). [para(729(a,1),5184(a,1,1))]. 5244 K(x,(y \ 1) \ (y \ z)) = (y \ T(z,x)) \ (y \ z). [para(771(a,1),5184(a,1,1)),flip(a)]. 5245 ((x * T(x \ y,z)) * u) \ (y * u) = K(z,(x * u) \ (y * u)). [para(1100(a,1),5184(a,1,1))]. 5246 K(x,y) * z != (u * K(x,y)) * y | T(u * y,K(x,y)) = z. [para(5190(a,2),148(a,2))]. 5247 T(x * y,x) / T(x,y) = y * K(x * y,x). [hyper(189,a,3977,a,b,5198,a(flip)),flip(a)]. 5248 x * (y * K(x * y,x)) = T(x * y,x). [para(5198(a,1),17(a,1,2))]. 5250 T(x,y) * K((x \ ((y \ 1) \ x)) * T(x,y),x \ ((y \ 1) \ x)) = (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,x \ ((y \ 1) \ x)). [para(3755(a,1),5198(a,1,2,1)),flip(a)]. 5252 (x * K(y,z)) * z = x * (z * K(y,z)). [para(3919(a,1),5206(a,1,1)),flip(a)]. 5254 (x / (y \ z)) * K(y \ z,y) = x / (z / y). [para(4295(a,1),5207(a,1,2)),flip(a)]. 5256 K((x * y) \ y,T(x,z)) = K(x \ 1,x). [hyper(189,a,2909,a(flip),b,5226,a(flip))]. 5257 K((x * y) \ y,z) = K(y \ (x \ y),z). [para(4267(a,1),5226(a,1,1)),flip(a)]. 5258 K(x,(y \ z) \ 1) = K(x,z \ y). [hyper(189,a,3871,a(flip),b,5231,a)]. 5259 K(x,(y \ z) \ 1) != u | K(x,z \ y) = u. [para(5231(a,2),3872(a,1))]. 5260 T(K(x,y / z),y) = K(x,z \ y). [hyper(189,a,4875,a,b,5258,a(flip)),flip(a)]. 5261 K(x,(y * z) \ y) = K(x,z \ 1). [para(16(a,1),5258(a,1,2,1)),flip(a)]. 5262 K(x,((y * z) \ y) \ 1) = K(x,z). [para(16(a,1),5258(a,2,2))]. 5264 K(x,(T(y,z) * (y \ u)) \ 1) = K(x,(T(y,z) * u) \ y). [para(975(a,1),5258(a,1,2,1))]. 5266 T(x \ y,K(z,y \ x)) = x \ y. [para(5258(a,1),1827(a,1,2))]. 5268 K(x,(K(y,z) * u) \ 1) = K(x,u \ K(z,y)). [para(3889(a,1),5258(a,1,2,1))]. 5269 x * K(y,z \ x) = z * ((y * (z \ x)) / y). [para(5258(a,1),4649(a,1,2))]. 5270 K(x,(y / z) \ 1) * z = z * K(x,y \ z). [para(5258(a,1),4853(a,2,2))]. 5271 K(x,y / z) * y = y * K(x,z \ y). [para(5258(a,1),4874(a,1,2)),flip(a)]. 5272 (((x \ y) \ 1) \ x) * ((x \ y) \ 1) = x * K(y,y \ x). [para(5258(a,1),4859(a,2,2))]. 5273 K(x,(y \ z) \ z) = T(K(x,y),z). [para(67(a,1),5260(a,1,1,2)),flip(a)]. 5276 K(x,y \ z) * (z \ y) = (z \ y) * K(x,y \ z). [para(5266(a,1),113(a,1,2))]. 5277 K(x,T(y,y \ z)) = T(K(x,y),z). [para(114(a,2),5273(a,1,2))]. 5278 T(K(x,y),z * y) = K(x,T(y,z)). [para(3555(a,2),5273(a,1,2)),flip(a)]. 5279 T(K(x,y),y * z) = K(x,T(y,z)). [para(16(a,1),5277(a,1,2,2)),flip(a)]. 5280 K(x * y,T(y,x)) != z | K(x * y,y) = z. [para(5278(a,1),2658(a,1))]. 5281 (x * y) * K(z,T(x,y)) = K(z,x) * (x * y). [para(5279(a,1),113(a,1,2))]. 5282 K(x,y) * K(y,T(x,z)) = K(x * z,K(x,y)). [para(5279(a,1),4463(a,1,2))]. 5284 (x * K(y,z)) \ (x * (z * K(y,z))) = z. [hyper(80,a,5252,a)]. 5285 (x * y) * K(z,y) = x * (y * K(z,y)). [hyper(189,a,5190,a(flip),b,5252,a(flip)),flip(a)]. 5286 (x * (y * K(z,y))) / (y * K(u,y)) = (x * K(z,y)) * K(y,u). [hyper(76,a,5252,a(flip),b,5206,a)]. 5289 K(((x * y) * z) \ (y * z),T(R(x,y,z),u)) = K(R(x,y,z) \ 1,R(x,y,z)). [para(110(a,1),5256(a,1,1,1))]. 5290 1 / (x \ K(y \ (z \ y),x)) = T(x,(z * y) \ y). [para(5257(a,1),4466(a,2,2,2)),flip(a)]. 5291 L(T(x,K(y,x)),K(y,x),z) = x. [hyper(645,a,5284,a)]. 5292 (x * K(y,z)) * z != u | x * (z * K(y,z)) = u. [para(5284(a,1),203(a,1,2)),flip(b)]. 5294 L(x,K(y,x),z) = x. [para(2753(a,1),5291(a,1,1))]. 5295 L(L(x,y,z),K(u,x),w) = L(x,y,z). [para(5294(a,1),48(a,1,1)),flip(a)]. 5296 (x * K(y,z)) * T(z,u) = x * (K(y,z) * T(z,u)). [para(5294(a,1),350(a,1,2,1))]. 5300 R(x,K(y,z),L(L(z,u,w),K(y,z),x)) = (x * (K(y,z) * L(z,u,w))) / (K(y,z) * L(z,u,w)). [para(5295(a,1),349(a,1,2,2)),flip(a)]. 5301 R(x,y,K(z,y)) = x. [hyper(376,a,5285,a)]. 5302 L(K(x,y),y,z) = K(x,y). [hyper(346,a,5285,a)]. 5303 (x * (y \ z)) * K(y,y \ z) = x * (z / y). [para(4295(a,1),5285(a,2,2))]. 5307 L(K(x,y),y,z) = K(x,((u * y) \ u) \ 1). [hyper(189,a,5262,a,b,5302,a)]. 5309 L(L(K(x,y),z,u),y,w) = L(K(x,y),z,u). [para(5302(a,1),48(a,1,1)),flip(a)]. 5312 ((x * y) / x) * K(y,z) != u | K(x,y) * T(y,z) = u. [para(4468(a,2),5189(a,1,1))]. 5313 K(x,x \ y) * K(z,y) != u | (x * (y / x)) / T(y,z) = u. [para(4298(a,1),5194(a,1,1))]. 5314 x * (K(y,x) * K(y * x,y)) = T(y * x,y) / y. [hyper(5196,a,4496,a),flip(a)]. 5318 K(x,1 / (y \ z)) != u | K(x,z \ y) = u. [para(3083(a,2),5259(a,1))]. 5319 K(x,(K(y,z) * u) \ 1) != w | K(x,u \ K(z,y)) = w. [para(3889(a,1),5259(a,1,2,1))]. 5322 L(K(x,T(y,z)),T(y,z),u) = K(x,((y * z) \ z) \ 1). [para(113(a,1),5307(a,2,2,1,1))]. 5323 K(x,((y * z) \ y) \ 1) != u | K(x,z) = u. [para(5307(a,1),3201(a,1)),flip(b)]. 5325 K(x,T(y / z,y)) != u | K(x,z \ y) = u. [para(4272(a,2),5318(a,1,2))]. 5326 K(x,(y \ 1) \ 1) != z | K(x,y) = z. [para(14(a,1),5323(a,1,2,1,1))]. 5327 L(K(x,y),y,z) != u | K(x,y) = u. [para(5307(a,2),5323(a,1))]. 5329 K(x,T(y \ 1,z)) != u | K(x,T(1 / y,z)) = u. [para(2096(a,1),5326(a,1,2))]. 5330 K(x,R(T(y,y \ 1),z,u)) != w | K(x,R(y,z,u)) = w. [para(3107(a,2),5326(a,1,2))]. 5332 K(x,T(y / z,y)) = K(x,z \ y). [hyper(5325,a,xx),flip(a)]. 5333 K(x,(y \ z) \ z) = K(x,T(y,z)). [para(67(a,1),5332(a,1,2,1)),flip(a)]. 5334 K(x,T(y,z)) = T(K(x,y),z). [hyper(189,a,5273,a(flip),b,5333,a(flip))]. 5335 K(x,T(y,y \ z)) = K(x,T(y,z)). [para(114(a,2),5333(a,1,2))]. 5336 K(x,T(y * K(z,u),y)) = K(x,K(z,u) * y). [para(3931(a,1),5333(a,1,2)),flip(a)]. 5337 K((x \ y) \ y,z) = K(x,T(z,y)). [hyper(189,a,5208,a,b,5334,a),flip(a)]. 5338 K(x,K(y,z)) * K(z,y) = K(z,T(y,x)). [hyper(189,a,4539,a,b,5334,a),flip(a)]. 5339 x \ (K(y,z) \ x) = K(z,T(y,x)). [hyper(189,a,3913,a,b,5334,a),flip(a)]. 5340 K(x / y,T(z,x)) = K(y \ x,z). [hyper(189,a,5210,a(flip),b,5334,a)]. 5341 K(x,T(y,T(x,z))) = K(x,y). [hyper(189,a,2662,a(flip),b,5334,a)]. 5342 K(x,T(y,K(z,x))) = K(x,y). [hyper(189,a,1957,a(flip),b,5334,a)]. 5343 K(x \ 1,T(y,x)) = K(x \ 1,y). [hyper(189,a,1153,a(flip),b,5334,a)]. 5344 T(K(x,y),z * y) = T(K(x,y),z). [hyper(189,a,5278,a,b,5334,a(flip)),flip(a)]. 5345 x * K(y,T(z,x)) = K(y,z) * x. [para(5334(a,2),113(a,1,2))]. 5346 x * K(y,T(z,x)) != u | K(y,z) * x = u. [para(5334(a,2),205(a,1,2))]. 5347 x / K(y,T(z,x)) = K(y,z) \ x. [para(5334(a,2),3866(a,1,2))]. 5348 (K(x,y) * z) * K(y,T(x,z)) = z. [para(5334(a,2),3949(a,1,2))]. 5349 x * T(K(x,y),z) = T(x,T(y,z)). [para(5334(a,1),4396(a,2,2)),flip(a)]. 5350 K(x,y) * K(y,T(x,z)) != u | K(z,K(x,y)) = u. [para(5334(a,2),4673(a,1,2))]. 5351 R(K(x,T(y,z)),u,w) \ 1 = T(R(K(x,y),u,w) \ 1,z). [para(5334(a,2),4983(a,1,1,1))]. 5352 T(x,y) * K(z,T(x,T(z,u))) = K(z,x) * T(x,y). [para(5341(a,2),2759(a,1,2))]. 5353 T(x,T(y,T(x,z))) = x * K(x,y). [para(5341(a,1),4396(a,2,2))]. 5354 T(x * K(y,x),T(y,z)) = T(x,T(y,z)) * K(y,x). [para(5341(a,1),4653(a,1,2)),flip(a)]. 5355 T(x,T(y,K(z,x))) = x * K(x,y). [para(5342(a,1),4396(a,2,2))]. 5356 K(x,T(y * z,y * (z * u))) = K(x,T(y * z,L(u,z,y))). [para(31(a,2),5335(a,1,2,2)),flip(a)]. 5357 K(x,T(y,z \ 1)) = K(x,T(y,z \ y)). [para(3749(a,1),5335(a,1,2))]. 5358 R(x,y,K(z,T(y,u))) = x. [para(5337(a,1),5301(a,1,3))]. 5359 (x * y) * K(z,T(y,u)) = x * (y * K(z,T(y,u))). [para(5358(a,1),110(a,1,1)),flip(a)]. 5360 K(x,y) * (z * K(y,T(x,z))) = z. [para(5339(a,1),63(a,1,2,2))]. 5365 (K(x,y) * z) * K(T(y,z),x) = z. [hyper(3929,a,5345,a)]. 5366 (x \ y) \ (T(x,z) \ y) = K(z,T(x,x \ y)). [hyper(75,a,4558,a(flip),b,5345,a)]. 5367 K(x,T(y \ 1,z)) = K(x,z \ (y \ z)). [hyper(20,a,4854,a,b,5345,a)]. 5368 K(x,x \ y) * K(z,y) = K(z,y) * K(x,x \ y). [para(4320(a,1),5345(a,1,2,2))]. 5369 x * K(T(y,x),z) = K(z,y) \ x. [hyper(3930,a,5347,a)]. 5370 x * K(T(y,x),z) = K(y,z) * x. [hyper(3929,a,5348,a)]. 5372 T(x,T(y,z)) != x * u | T(K(x,y),z) = u. [para(5349(a,1),22(a,1))]. 5373 T(x,T(y,T(x,z))) = T(x,y). [hyper(189,a,4396,a,b,5353,a)]. 5375 T(x / (x / y),T(z,y)) = T(x / (x / y),z). [para(164(a,1),5373(a,1,2,2))]. 5376 T(x * K(y,x),T(z,x)) = T(x * K(y,x),z). [para(4374(a,1),5373(a,1,2,2))]. 5377 x * T(y * K(x,y),T(x,z)) = T(x,y) * T(y,T(x,z)). [para(5373(a,1),4659(a,1,1)),flip(a)]. 5378 T(x,T(y,K(z,x))) = T(x,y). [hyper(189,a,4396,a,b,5355,a)]. 5379 K(T(x,y),z) = T(K(x,z),y). [hyper(3950,a,5365,a),flip(a)]. 5380 K(T(x,y),z) = K(x,T(z,y)). [hyper(20,a,5348,a,b,5365,a)]. 5381 K(T(x,x \ y),z) = K(T(x,y),z). [hyper(189,a,5222,a,b,5379,a),flip(a)]. 5382 K((x \ y) \ y,z) = K(T(x,y),z). [hyper(189,a,5208,a,b,5379,a),flip(a)]. 5383 K(T(x,y),y / z) = K(x,z \ y). [hyper(189,a,5260,a(flip),b,5379,a)]. 5384 K(T(x,y * x),z) = K(T(x,y),z). [hyper(189,a,5223,a(flip),b,5379,a)]. 5385 K(T(x,T(y,z)),y) = K(x,y). [hyper(189,a,2781,a(flip),b,5379,a)]. 5386 K(T(x,y \ 1),y) = K(x,y). [hyper(189,a,1841,a(flip),b,5379,a)]. 5387 T(K(x,y),z) * T(x,z) = T(T(x,z),y). [para(5379(a,1),4403(a,2,1)),flip(a)]. 5388 x * K(T(x,y),z) = T(x,T(z,y)). [para(5379(a,2),5349(a,1,2))]. 5389 K(T(x,x * y),y) = K(x,y). [hyper(189,a,3515,a(flip),b,5380,a)]. 5390 x * K(T(y,z),u) = x * K(y,T(u,z)). [hyper(24,a,5380,a)]. 5391 T(K(x,y),z * x) = K(x,T(y,z)). [hyper(189,a,5223,a,b,5380,a(flip)),flip(a)]. 5392 K(x,T(y,x \ z)) = T(K(x,y),z). [hyper(189,a,5222,a(flip),b,5380,a(flip))]. 5393 K(R(T(x,y),z,u),w) = K(R(x,z,u),T(w,y)). [para(45(a,2),5380(a,1,1))]. 5394 K(x / y,T(z,y)) = K(y \ x,z). [para(115(a,1),5380(a,1,1)),flip(a)]. 5395 K(T(x,y),z / y) = K(x,y \ z). [para(115(a,1),5380(a,2,2))]. 5396 K((x * y) / x,T(z,x)) = K(y,z). [para(142(a,1),5380(a,1,1)),flip(a)]. 5397 K(T(x,y),L(y,z,u)) = K(x,L(y,z,u)). [para(125(a,1),5380(a,2,2))]. 5398 K(x,T(y,T(T(x,z),u))) = K(x,y). [para(329(a,1),5380(a,1,1)),flip(a)]. 5399 K(x,T(y,R(T(x,z),u,w))) = K(x,y). [para(667(a,1),5380(a,1,1)),flip(a)]. 5400 K(x,T(y,z * (x / z))) = K(x,y). [para(3780(a,1),5380(a,1,1)),flip(a)]. 5401 x / K(y,T(z,u)) = x * K(z,T(y,u)). [para(5380(a,1),3890(a,1,2))]. 5402 K(x,T(y,z)) \ u != w | K(y,T(x,z)) * u = w. [para(5380(a,1),3909(a,1,1))]. 5403 (x * K(y,T(z,u))) \ x != w | K(z,T(y,u)) = w. [para(5380(a,1),3922(a,1,1,2))]. 5404 x * K(y,T(z,u)) != w | w * K(z,T(y,u)) = x. [para(5380(a,1),3929(a,1,2))]. 5405 x / K(y,T(z,u)) != w | x * K(z,T(y,u)) = w. [para(5380(a,1),3930(a,1,2))]. 5406 K(x,T(y,z)) * T(x,z) = T(T(x,z),y). [para(5380(a,1),4403(a,2,1)),flip(a)]. 5407 x * K(T(x,y),z) != u | T(x,T(z,y)) = u. [para(5380(a,2),4399(a,1,2))]. 5408 (T(x,T(y,z)) * y) / K(x,y) = y * T(x,T(y,z)). [para(5385(a,1),127(a,1,2))]. 5409 K(L(x,y,x),y) = K(x,y). [hyper(3941,a,5389,a)]. 5410 K(T(x * K(y,z),x),u) = K(K(y,z) * x,u). [para(3931(a,1),5382(a,1,1)),flip(a)]. 5411 K(x,L(L(x,y,z),u,w) / v5) = K(x,v5 \ L(L(x,y,z),u,w)). [para(750(a,1),5383(a,1,1))]. 5412 K(x,T(y,z * x)) = K(x,T(y,z)). [hyper(189,a,5334,a,b,5391,a(flip)),flip(a)]. 5413 (x * y) * K(y,T(z,x)) = K(y,z) * (x * y). [para(5391(a,1),113(a,1,2))]. 5414 K(x,T(y,x \ z)) = K(x,T(y,z)). [hyper(189,a,5334,a,b,5392,a)]. 5415 K((x * y) / x,T(z,x)) != u | K(y,z) = u. [para(5394(a,2),4566(a,1))]. 5416 K(L(x,y,z),u / x) = K(L(x,y,z),x \ u). [para(125(a,1),5395(a,1,1))]. 5417 K(x,y / (z * (x / z))) = K(x,(z * (x / z)) \ y). [para(3780(a,1),5395(a,1,1))]. 5418 T(x,T(y,T(T(x,z),u))) = K(x,y) * x. [para(5398(a,1),4403(a,2,1))]. 5419 K(x * y,T(z,y * x)) = K(x * y,z). [para(18(a,1),5400(a,1,2,2,2))]. 5420 K(x,T(y,z / x)) = K(x,T(y,z)). [para(19(a,1),5412(a,1,2,2)),flip(a)]. 5421 K(x,T(y,x * z)) = K(x,T(y,z)). [para(16(a,1),5414(a,1,2,2)),flip(a)]. 5422 K(x,T(y,z \ 1)) = K(x,T(y,z \ x)). [para(3785(a,1),5420(a,1,2))]. 5423 K(x * y,T(z,x \ 1)) = K(x * y,T(z,y)). [para(3786(a,1),5420(a,1,2))]. 5424 K(T(x,(y \ z) \ u),z \ (y * u)) = K(x,L((y \ z) \ u,y \ z,y)). [para(359(a,1),5397(a,1,2))]. 5425 K(x,y) * T(x,T(z,y)) = T(T(x,y),z). [hyper(4670,a,5406,a)]. 5426 T(x,T(y,T(T(x,z),u))) = T(x,y). [hyper(189,a,4403,a,b,5418,a)]. 5427 T(x * K(y,x),T(z,T(x,u))) = T(x * K(y,x),z). [para(4374(a,1),5426(a,1,2,2,1))]. 5429 K(x / y,T(z,y)) != u | K(y \ x,z) = u. [para(17(a,1),5415(a,1,1,1))]. 5430 K(x,T(y,z)) != u | K(T(x,z),y) = u. [para(143(a,1),5415(a,1,1))]. 5431 T(K(x,y),z) != u | K(T(x,z),y) = u. [para(5334(a,1),5430(a,1))]. 5434 K(T(x,x \ y),z) != u | K(T(x,y),z) = u. [para(5222(a,2),5431(a,1))]. 5438 K(T(x \ 1,x * y),z) != u | K(T(x \ 1,y),z) = u. [para(3612(a,1),5434(a,1,1))]. 5440 T(x,x \ 1) * K(y,x) = (x * (K(y,x) / x)) * x. [para(2943(a,1),5134(a,1,1)),flip(a)]. 5441 T(x,y) / (z \ x) = z * K(((z \ x) \ 1) \ z,y). [hyper(4189,a,5211,a)]. 5442 K((x \ 1) \ y,x) = K(x * y,x). [hyper(20,a,5198,a(flip),b,5211,a(flip))]. 5443 T(x * L(x \ (x * y),z,u),x) = x * L(y * K((x \ 1) \ y,x),z,u). [para(5211(a,1),1352(a,2,2,1))]. 5445 T(x * K((y \ 1) \ x,z),y) = y \ T(x * y,z). [para(5211(a,1),4161(a,1,1))]. 5446 L(K(x * y,x) * K(z * y,K(x * y,x)),y,z) = (z * (T(x * y,x) / T(x,y))) / (z * y). [para(5247(a,2),4490(a,2,1,2))]. 5447 (x / (y / z)) * K(z,z \ y) = x / (z \ y). [hyper(3929,a,5254,a)]. 5450 T(x / (y / z),K(z,z \ y)) != u | K(z \ y,z) * (x / (z \ y)) = u. [para(5254(a,1),4630(a,1,1))]. 5451 (x * ((y / z) / x)) * z = y * K(x,(x * z) \ y). [hyper(189,a,1786,a(flip),b,5269,a),flip(a)]. 5452 ((x \ y) * z) * K(x,T(x \ y,z)) = (y / x) * z. [hyper(189,a,4303,a(flip),b,5281,a)]. 5453 (x * (y / z)) * K(z \ y,z) = x * (z \ y). [hyper(3929,a,5303,a)]. 5456 (x \ y) \ (T(x,z) \ y) = K(z,T(x,y)). [hyper(189,a,5335,a(flip),b,5366,a)]. 5457 (x \ y) * K(z,T(x,y)) = T(x,z) \ y. [para(5456(a,1),17(a,1,2))]. 5458 T(T(T(x,y) / (T(x,y) / y),x),z) = L(T(y,z),y \ T(x,y),y). [para(5375(a,1),3644(a,1,1))]. 5459 T(x * K(y,x),T(T(z,x),u)) = T(x * K(y,x),T(z,u)). [para(41(a,1),5376(a,1,2))]. 5460 K(x,y) * (z * x) = z * T(x,T(y,z)). [hyper(5189,a,5413,a),flip(a)]. 5461 K(x,K(y,z)) * (T(y,u) * x) = T(y,u) * T(x,K(y,z)). [para(2662(a,1),5460(a,2,2,2))]. 5463 (x / (y / z)) * (z \ y) = x * K(z \ y,z). [hyper(252,a,5453,a),flip(a)]. 5466 K((x \ y) \ 1,z) != u | K(y \ x,z) = u. [para(4523(a,1),5217(a,1))]. 5467 K((x / y) \ 1,y) != z | K(x \ y,y) = z. [para(4761(a,1),5217(a,1))]. 5469 K((K(x,y) * z) \ 1,u) != w | K(z \ K(y,x),u) = w. [para(3889(a,1),5466(a,1,1,1))]. 5470 K(x / y,x) != z | K(y \ x,x) = z. [para(4760(a,1),5467(a,1))]. 5471 T(x,(y \ z) \ 1) = T(x,z \ y). [hyper(5233,a,4371,a(flip))]. 5472 T(x,(y * z) \ y) = T(x,z \ 1). [para(16(a,1),5471(a,1,2,1)),flip(a)]. 5474 T(x,(y * (z * u)) \ (y * z)) = T(x,L(u,z,y) \ 1). [para(31(a,2),5471(a,1,2,1)),flip(a)]. 5475 (1 / (x \ y)) * T(z,y \ x) = z * (1 \ (1 / (x \ y))). [para(5471(a,1),2690(a,1,2))]. 5476 K(x,T(y,(z \ u) \ y)) = K(x,T(y,u \ z)). [para(5471(a,1),5357(a,1,2)),flip(a)]. 5477 K(x,T(y,(z \ u) \ x)) = K(x,T(y,u \ z)). [para(5471(a,1),5422(a,1,2)),flip(a)]. 5479 R(x,T(y,z),T(z,y)) = R(x,y,z). [hyper(385,a,5241,a),flip(a)]. 5480 R(x,T(y,z),T(z,y)) != u | R(x,y,z) = u. [para(5241(a,1),385(a,1))]. 5482 R(T(x,y),T(z,u),T(u,z)) = T(R(x,z,u),y). [hyper(189,a,45,a(flip),b,5479,a)]. 5484 T(R(x,y,z),u) != w | R(T(x,u),y,z) = w. [para(5482(a,1),5480(a,1))]. 5486 K(x * y,K(x,z)) = K(y,K(x,z)). [hyper(5350,a,5282,a),flip(a)]. 5487 K(x * y,K(y,z)) = K(x,K(y,z)). [hyper(189,a,4878,a,b,5486,a(flip)),flip(a)]. 5488 K(T(x,y),z) != u | K(x,T(z,y)) = u. [para(3877(a,1),5403(a,1))]. 5490 T(K(x,y),z) != u | K(x,T(y,z)) = u. [para(5379(a,1),5488(a,1))]. 5491 K(x,(y \ z) \ z) != u | K(x,T(y,z)) = u. [para(5273(a,2),5490(a,1))]. 5492 K(x,T(y,y \ z)) != u | K(x,T(y,z)) = u. [para(5277(a,2),5490(a,1))]. 5493 T(K(x,y),z * y) != u | K(x,T(y,z)) = u. [para(5344(a,2),5490(a,1))]. 5494 K(x,T(y,x \ z)) != u | K(x,T(y,z)) = u. [para(5392(a,2),5490(a,1))]. 5495 (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) != u | K(z,T(x,y)) = u. [para(527(a,2),5491(a,1))]. 5496 K(x,(L(y,z,u) * (y \ w)) \ (L(y,z,u) * w)) != v5 | K(x,T(y,L(y,z,u) * w)) = v5. [para(961(a,1),5491(a,1,2,1))]. 5497 K(x,T(y,z \ 1)) != u | K(x,T(y,z \ y)) = u. [para(3749(a,1),5492(a,1,2))]. 5498 K(x,T(y,z * y)) != u | K(x,T(y,z)) = u. [para(5334(a,2),5493(a,1))]. 5499 K(x,T(y,y * z)) != u | K(x,T(y,z)) = u. [para(3507(a,1),5498(a,1,2))]. 5500 x * K(T(y,z),u) != w | x * K(y,T(u,z)) = w. [para(3890(a,1),5405(a,1))]. 5501 x * T(K(y,z),u) != w | x * K(y,T(z,u)) = w. [para(5379(a,1),5500(a,1,2))]. 5502 L(K((x \ 1) \ (x \ y),z),x \ y,(x \ y) \ 1) / (x \ T(y,z)) = 1 / (x \ y). [para(5212(a,1),2375(a,1,2))]. 5505 T(L(x \ 1,x,y) \ 1,z) = ((y * x) \ y) \ K(x,z). [para(140(a,2),5237(a,1,1,1))]. 5508 K(((x * y) \ x) \ 1,z) * ((((x * y) \ x) \ K(y,z)) \ u) = (((x * y) \ x) \ 1) \ u. [para(5237(a,1),4541(a,1,2,1))]. 5509 K(x,((T(y,x) / z) \ 1) \ ((T(y,x) / z) \ y)) = z \ ((T(y,x) / z) \ y). [para(69(a,1),5244(a,2,1))]. 5510 T(x \ y,z) * ((y \ x) * K(z,x \ y)) = (x \ y) * (y \ x). [para(5276(a,1),4412(a,1,2))]. 5511 T(x,(y * z) \ z) != u | T(x,z \ (y \ z)) = u. [para(5290(a,1),4467(a,1))]. 5512 T(x,T(y \ 1,z)) != u | T(x,z \ (y \ z)) = u. [para(4244(a,2),5511(a,1,2))]. 5513 R(x,K(y,z),T(z,u)) = x. [hyper(376,a,5296,a)]. 5514 x / (K(y,z) * T(z,u)) = (x / T(z,u)) * K(z,y). [hyper(189,a,3924,a(flip),b,5513,a(flip)),flip(a)]. 5515 L(K(x,T(y,z)),y,u) = K(x,T(y,z)). [hyper(346,a,5359,a)]. 5516 R(x,x \ K(y,x),x) = T(x,x \ 1). [hyper(21,a,3768,a,b,5440,a),flip(a)]. 5517 R(x,T(x,y) \ 1,x) = T(x,x \ 1). [para(4364(a,2),5516(a,1,2))]. 5518 R(T(x,y),T(x,z) \ 1,x) = T(T(x,x \ 1),y). [para(5517(a,1),45(a,2,1))]. 5519 T(T(x,x \ 1),y) \ x = (T(x,y) \ 1) * x. [para(5518(a,1),313(a,1,1))]. 5520 T((x \ 1) \ 1,y) \ x = (T(x,y) \ 1) * x. [para(114(a,1),5519(a,1,1,1))]. 5521 (K(x,x \ (y / z)) * (y / z)) * z = y * K(x,(x * z) \ y). [para(4314(a,2),5451(a,1,1))]. 5522 x / (T(y,z) * K(u,y)) = (x / T(y,z)) * K(y,u). [para(2759(a,2),5514(a,1,2))]. 5523 T(x * y,K(y,z)) = y * T(x,T(y,z)). [hyper(5168,a,4569,a)]. 5526 L(K(x \ y,z),y,u) = K((u * x) \ (u * y),z). [hyper(189,a,5235,a(flip),b,5228,a(flip)),flip(a)]. 5527 L(K((x \ y) \ z,u),z,x) = K(y \ (x * z),u). [para(17(a,1),5526(a,2,1,1))]. 5528 L(K(x \ (y \ z),u),y \ z,y) = K((y * x) \ z,u). [para(17(a,1),5526(a,2,1,2))]. 5529 K((x * (y / z)) \ (x * y),u) = L(K(z,u),y,x). [para(69(a,1),5526(a,1,1,1)),flip(a)]. 5530 L(K(x \ T(y,z),u),T(y,z),z) = K((z * x) \ (y * z),u). [para(113(a,1),5526(a,2,1,2))]. 5531 L(K(x \ y,z),y,u) = K(L(x \ y,x,u),z). [para(104(a,2),5526(a,2,1))]. 5532 L(K(x * y,x),y,z) = K((z * (x \ 1)) \ (z * y),x). [para(5442(a,1),5526(a,1,1))]. 5533 K(L(x \ y,x,z),y) = K(x \ y,y). [hyper(5327,a,5531,a),flip(a)]. 5534 K(L(x \ y,x,K(y,z)),u) = K(x \ y,u). [hyper(3714,a,5531,a)]. 5535 K((x \ y) \ z,z) = K(y \ (x * z),z). [para(359(a,1),5533(a,1,1)),flip(a)]. 5536 K(L(x \ y,T(x,z),z),y) = K(x \ y,y). [para(4933(a,1),5533(a,1,1))]. 5537 K(x \ y,K(y,z) * x) * (K(y,z) * (x * (x \ y))) = L(x \ y,x,K(y,z)) * (K(y,z) * x). [para(5534(a,1),4472(a,1,1))]. 5538 K((x \ y) \ z,T(z,u)) = K(y \ (x * z),T(z,u)). [hyper(189,a,5515,a(flip),b,5527,a(flip)),flip(a)]. 5539 (x * y) * K(z \ (x * y),u) = x * (y * K((x \ z) \ y,u)). [para(5527(a,1),102(a,1,2))]. 5540 K(L(x,y / x,z),u) = L(K(x,u),y,z). [para(105(a,2),5529(a,1,1))]. 5541 L(K(x,y),z * x,u) = K(L(x,z,u),y). [para(18(a,1),5540(a,1,1,2)),flip(a)]. 5542 K(L(x,y / T(x,y),z),u) = L(K(x,u),T(y,x),z). [para(3523(a,1),5540(a,1,1,2))]. 5543 L(K(x,y),z,u) \ 1 != w | K(y,L(x,z / x,u)) = w. [para(5540(a,1),3872(a,1,1))]. 5544 K(L(x,y,z),y * x) = K(x,y * x). [hyper(5327,a,5541,a),flip(a)]. 5545 L(K(x,y),z * K(u,x),w) = K(L(x,z / T(x,u),w),y). [para(5176(a,1),5541(a,1,2))]. 5546 K(L(x,y,z),y * x) = K(x,x * y). [hyper(189,a,4576,a(flip),b,5544,a)]. 5547 K(L(x,y,z),y * x) != u | K(x,x * y) = u. [para(5544(a,2),4577(a,1))]. 5548 K(x,(T(y,z) * (y \ u)) \ 1) != w | K(x,u \ K(z,y)) = w. [para(4377(a,2),5319(a,1,2,1))]. 5549 R(T(K(x,y),y * z),y,z) = K(x,((y * z) \ z) \ 1). [hyper(189,a,4996,a,b,5322,a(flip)),flip(a)]. 5551 T(L(x \ 1,x,y) \ 1,x * L(x \ 1,z,u)) = ((y * x) \ y) \ 1. [para(1342(a,1),5505(a,2,2))]. 5552 K((x * y) \ 1,x) = K(y \ (x \ 1),x). [hyper(189,a,3142,a(flip),b,5528,a(flip))]. 5553 K(x / ((y * z) * x),y) = K(z \ (y \ 1),y). [hyper(189,a,4765,a,b,5552,a(flip)),flip(a)]. 5554 ((x \ (1 / y)) * x) * y = K(y \ (x \ 1),x). [hyper(189,a,4527,a,b,5552,a(flip)),flip(a)]. 5556 K(K(x,x \ 1) * y,z) = K(y,z). [hyper(20,a,4396,a(flip),b,5162,a),flip(a)]. 5560 K(x * K(y \ 1,y),z) = K(x,z). [para(2480(a,1),5556(a,1,1)),flip(a)]. 5561 K(x * ((y \ 1) \ 1),z) = K(x * y,z). [para(2501(a,1),5556(a,1,1))]. 5563 K(x \ T(y,y \ 1),z) = K(x \ y,z). [para(3454(a,1),5556(a,1,1))]. 5564 K(x \ (1 / y),z) = K(x \ (y \ 1),z). [para(4107(a,1),5556(a,1,1))]. 5565 K(x * (((x \ y) \ 1) \ 1),z) = K(y,z). [para(1998(a,1),5560(a,1,1))]. 5566 K((K(x,x \ 1) * y) \ z,u) = K(y \ z,u). [para(4120(a,2),5560(a,1,1))]. 5567 K(x \ (y * ((z \ 1) \ 1)),u) = K(x \ (y * z),u). [para(4105(a,1),5560(a,1,1)),flip(a)]. 5568 K(x * R(1 / y,z,u),w) = K(x * R(y \ 1,z,u),w). [para(3104(a,1),5561(a,1,1,2)),flip(a)]. 5569 K((T(x,x \ 1) \ y) \ 1,z) = K(y \ x,z). [hyper(189,a,5209,a,b,5563,a(flip)),flip(a)]. 5570 T(x,y) / ((1 / z) \ x) = (1 / z) * K((((1 / z) \ x) \ 1) \ (z \ 1),y). [para(5564(a,1),5441(a,2,2))]. 5571 K((x * ((y \ 1) \ 1)) \ z,u) = K((x * y) \ z,u). [para(2501(a,1),5566(a,1,1,1))]. 5572 K((x * (K(y,y \ 1) * z)) \ u,w) = K((x * z) \ u,w). [para(4117(a,1),5566(a,1,1,1))]. 5573 K((((1 / x) \ y) \ z) \ u,w) = K((((x \ 1) \ y) \ z) \ u,w). [para(4133(a,1),5566(a,1,1,1))]. 5574 K(x \ ((y \ 1) * y),z) = K(x \ 1,z). [para(17(a,1),5567(a,1,1,2)),flip(a)]. 5575 L(K(x \ y,z),y,y \ 1) = K(((y \ 1) * x) \ 1,z). [hyper(189,a,5526,a,b,5574,a(flip)),flip(a)]. 5576 (1 / x) * K(y \ (x \ 1),z) = K((y * x) \ 1,z) / x. [para(5564(a,1),5236(a,1,2))]. 5577 (((x \ y) \ 1) \ x) * ((x \ y) \ 1) = y * (x / y). [hyper(189,a,3903,a(flip),b,5272,a)]. 5578 T(x,x \ y) / (y \ x) = x * (y / x). [hyper(189,a,4954,a,b,5577,a(flip)),flip(a)]. 5579 (x * (y / x)) * (y \ x) = T(x,x \ y). [para(5578(a,1),19(a,1,1))]. 5580 T((x * K(y,x)) * K(y,x * K(y,x)),T(y,z)) = (T(y,x) * T(x,T(y,z))) / y. [hyper(76,a,5377,a(flip),b,4423,a),flip(a)]. 5581 T(x,y) * T(y * K(x,y),T(T(x,y),z)) = T(T(x,y),y) * T(y,T(T(x,y),z)). [para(3876(a,1),5377(a,1,2,1,2))]. 5582 T(x,T(y,T(x,z))) * T(y,T(x,u)) = x * T(y * K(x,y),T(x,u)). [para(5373(a,2),5377(a,2,1)),flip(a)]. 5583 (1 / ((x * y) \ x)) * T(z,y) = z * (1 \ (1 / ((x * y) \ x))). [para(16(a,1),5475(a,1,2,2))]. 5584 K((x * ((T(y,x) \ 1) * y)) \ z,u) = K(T(x,y) \ z,u). [para(4790(a,1),5572(a,1,1,1)),flip(a)]. 5585 K((x * y) \ 1,y) = K(x \ (y \ 1),y). [hyper(20,a,3143,a,b,5576,a),flip(a)]. 5586 L(K(x \ (y \ 1),y),z,u) = K(L(x * y,z,u) \ 1,y). [para(5585(a,1),4824(a,1,1))]. 5588 L(x \ 1,x,y * K(x,z)) != u | L(x \ 1,T(x,z),y) = u. [para(5143(a,2),4503(a,1))]. 5590 (x * (y / x)) / T(y,z) = K(z,y) * K(x,x \ y). [hyper(5313,a,5368,a)]. 5591 K(x,T(x * y,L(z,y,x))) = K(x,T(x * y,y * z)). [hyper(189,a,5421,a(flip),b,5356,a(flip))]. 5592 K(x,(T(y,z) * u) \ y) = K(x,u \ K(z,y)). [hyper(5548,a,5264,a),flip(a)]. 5593 K(x,(T(y,z) \ u) \ K(z,y)) = K(x,u \ y). [para(17(a,1),5592(a,1,2,1)),flip(a)]. 5594 x \ T(x * K(y \ 1,y),y) = T((T(y,x) \ 1) * y,x). [para(4635(a,1),5200(a,2,1))]. 5595 x \ T(x * K(y \ 1,y),y) = (T(y,x) \ 1) * y. [hyper(189,a,4990,a(flip),b,5594,a)]. 5596 (((x / y) * T(y,z)) * u) \ (x * u) = K(z,((x / y) * u) \ (x * u)). [para(69(a,1),5245(a,1,1,1,2,1))]. 5597 (K(x,x \ (y / z)) * (y / z)) * z = K(x,((x * z) / y) \ 1) * y. [hyper(189,a,5270,a,b,5521,a)]. 5598 (x * y) * z != x * (y * K((x \ u) \ y,w)) | K(u \ (x * y),w) = z. [para(5539(a,1),22(a,1)),flip(a)]. 5599 (1 / ((x * y) \ x)) * T(z,y) = z * (1 / ((x * y) \ x)). [para(58(a,1),5583(a,2,2))]. 5600 T(1 / ((x * y) \ x),y) = 1 / ((x * y) \ x). [hyper(260,a,5599,a),flip(a)]. 5601 T(T(1 / ((x * y) \ x),z),y) = T(1 / ((x * y) \ x),z). [hyper(20,a,173,a(flip),b,5599,a)]. 5602 T(T(x * K(x \ y,x),y),z) = L(T(x,z),x \ T(y,x),x). [para(4337(a,1),5458(a,1,1,1))]. 5603 L(T(x,y),x \ T(z,x),x) = T(L(x,x \ z,x),y). [para(4336(a,1),5602(a,1,1)),flip(a)]. 5604 L(T(x,y),x \ T(z,x),x) = L(T(x,y),x \ z,x). [hyper(189,a,43,a,b,5603,a)]. 5605 L(R(T(x,y),z,u),x \ T(w,x),x) = R(L(T(x,y),x \ w,x),z,u). [para(5604(a,1),47(a,1,1)),flip(a)]. 5606 K(x,((y / z) * u) \ (y * u)) = ((y * K(z,x)) * u) \ (y * u). [para(5140(a,1),5596(a,1,1,1)),flip(a)]. 5607 ((x * K(y,z)) * u) * K(z,((x / y) * u) \ (x * u)) = x * u. [para(5606(a,2),17(a,1,2))]. 5608 K(((x / y) * z) \ (x * z),u) = (x * z) \ ((x * K(y,u)) * z). [para(5607(a,1),3918(a,1,1)),flip(a)]. 5609 (x * y) \ ((x * K(z,u)) * y) != w | K(((x / z) * y) \ (x * y),u) = w. [para(5607(a,1),3922(a,1,1))]. 5610 R(K(x,x \ (y / z)),y / z,z) = K(x,((x * z) / y) \ 1). [hyper(590,a,5597,a)]. 5611 L(R(T(x,y),z,u),x \ T(w,x),x) = L(R(T(x,y),z,u),x \ w,x). [hyper(189,a,47,a(flip),b,5605,a)]. 5612 R(T(K(x \ y,y),y * z),y,z) = K(((y * z) \ (x * z)) \ 1,y). [hyper(189,a,4752,a(flip),b,5219,a)]. 5613 K(((x * y) \ (z * y)) \ 1,x) = K(z \ x,((x * y) \ y) \ 1). [hyper(189,a,5549,a(flip),b,5612,a(flip))]. 5614 K(x \ y,((y * z) \ z) \ 1) = K((x * z) \ (y * z),y). [hyper(5466,a,5613,a),flip(a)]. 5615 K((x * y) \ (z * y),z) = K(x \ z,y \ (z * y)). [hyper(5259,a,5614,a),flip(a)]. 5616 K((x * y) \ (z * y),z) = K(x \ z,T(z,y)). [para(35(a,2),5615(a,2,2))]. 5617 K((x / y) \ z,T(z,y)) = K(x \ (z * y),z). [para(19(a,1),5616(a,1,1,1)),flip(a)]. 5618 K(T(x,(y \ z) \ u),z \ (y * u)) = K(x,z \ (y * u)). [para(359(a,1),5424(a,2,2))]. 5619 L(x * K(y \ z,z \ y),u,w) = L(x,u,w) * K(y \ z,z \ y). [para(1992(a,1),5082(a,1,1,2))]. 5620 K(x \ y,L(y \ x,z,u)) = K(x \ y,y \ x). [hyper(4740,a,5619,a)]. 5621 K(x \ L(x,y,z),L(x,y,z) \ x) = K(x \ L(x,y,z),a(z,y,x)). [para(1704(a,2),5620(a,1,2)),flip(a)]. 5622 x / L((x \ 1) \ 1,y,z) = (L(x,y,z) \ 1) * x. [hyper(5100,a,5099,a),flip(a)]. 5623 ((L(x,y,z) \ 1) * x) \ x = L((x \ 1) \ 1,y,z). [para(5622(a,1),69(a,1,1))]. 5624 (x * y) * K(((x * y) \ (z * y)) \ 1,u) = (x * K((x \ z) \ 1,u)) * y. [para(4756(a,1),5109(a,2,1))]. 5625 x * L(y * K((x \ 1) \ y,x),z,u) = T(x * L(y,z,u),x). [para(16(a,1),5443(a,1,1,2,1)),flip(a)]. 5626 x * L(y * K(x * y,x),z,u) = T(x * L(y,z,u),x). [para(5442(a,1),5625(a,1,2,1,2))]. 5627 x * L(y * K(y * x,x),z,u) = T(x * L(y,z,u),x). [para(4617(a,2),5626(a,1,2,1,2))]. 5628 L(x,y,z) * K(u * L(x,y,z),u) = L(x * K(x * u,u),y,z). [hyper(20,a,5248,a,b,5627,a),flip(a)]. 5629 (x * (y * z)) \ ((x * y) * L(z * K(z * u,u),y,x)) = L(K(u * L(z,y,x),u),L(z,y,x),x * y). [para(5628(a,1),347(a,1,2,2))]. 5630 T(x,y) / ((1 / z) \ x) = (1 / z) * K((((z \ 1) \ x) \ 1) \ (z \ 1),y). [para(5573(a,1),5570(a,2,2))]. 5631 x * K((x \ (x \ (y * x))) \ 1,z) = T(x * K((x \ y) \ 1,z),x). [hyper(147,a,5624,a(flip),b,4942,a(flip)),flip(a)]. 5633 T(x * K((x \ y) \ 1,z),x) = x * K((x \ T(y,x)) \ 1,z). [para(35(a,2),5631(a,1,2,1,1,2)),flip(a)]. 5634 T(x * K((x \ y) \ 1,z),x) = T(y,x) * T(T(y,x) \ x,z). [hyper(189,a,4524,a,b,5633,a)]. 5635 T(x,y) * T(T(x,y) \ y,z) = T(y * K(x \ y,z),y). [para(5209(a,1),5634(a,1,1,2)),flip(a)]. 5636 x \ T(x * K(y \ x,z),x) = K(T(y,x) \ x,z). [hyper(75,a,5635,a(flip),b,5160,a(flip))]. 5637 K(T(x / y,x) \ x,z) = x \ T(x * K(y,z),x). [para(69(a,1),5636(a,1,2,1,2,1)),flip(a)]. 5638 T(x,y) / ((1 / z) \ x) = K(((((z \ 1) \ x) \ 1) * z) \ 1,y) / z. [hyper(189,a,5576,a(flip),b,5630,a)]. 5639 R((x \ (1 / y)) * x,y,z) * (y * z) = (y * z) * ((x \ ((y * z) \ z)) * x). [para(3270(a,2),4193(a,1,1))]. 5640 (x * y) * (z * (L(y \ 1,y,x) / z)) = (x * y) * (z * (((x * y) \ x) / z)). [hyper(189,a,4185,a(flip),b,4195,a(flip))]. 5641 (x * T(K(y,z),u)) * T(K(z,y),u) = R(x,T(K(y,z),u),T(K(z,y),u)). [para(4266(a,1),4276(a,1,3)),flip(a)]. 5642 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(5641(a,1),23(a,1))]. 5643 T(x * K(y,x),y * R(x,z,u)) = L(x,y,R(x * K(y,x),z,u)). [para(4426(a,1),4428(a,1,2))]. 5644 T(x * K(y,x),y * R(x,y,x)) = L(x,y,x * K(y * x,x)). [para(4812(a,1),5643(a,2,3))]. 5645 T(x * K(y,x),T(x * y,x)) = L(x,y,x * K(y * x,x)). [para(3668(a,1),5644(a,1,2))]. 5646 L(x,y,x * K(y * x,x)) = T(x * K(y,x),x * y). [hyper(189,a,5376,a(flip),b,5645,a(flip))]. 5647 K(R(x,y,z),T(T(x,u) * u,w)) = K(R(x,y,z),T(x * u,w)). [hyper(189,a,4448,a(flip),b,4862,a)]. 5648 T((x \ L(y,y \ z,y)) * x,T(z,y) / y) = (x \ T(y,z)) * x. [para(3553(a,1),4899(a,2,1,2))]. 5649 T((x \ L(y,y \ z,y)) * x,T(z,y) / y) != u | T((x \ y) * x,z) = u. [para(5648(a,2),4155(a,1))]. 5650 T(T(x * K(y * L(x,z,u),x),w),y) = R(T(x,w),y,L(x,z,u)). [para(16(a,1),5047(a,2,1,1))]. 5651 T(T(x * K(y * R(x,z,u),x),w),y) = R(T(x,w),y,R(x,z,u)). [para(16(a,1),5052(a,2,1,1))]. 5652 K(((x * y) * z) \ (y * z),R(T(x,u),y,z)) = K(R(x,y,z) \ 1,R(x,y,z)). [para(45(a,2),5289(a,1,2))]. 5653 (x * y) * ((z \ ((x * y) \ y)) * z) = (((z \ (1 / x)) * z) * x) * y. [hyper(204,a,5639,a),flip(a)]. 5654 (x * y) * ((z \ ((x * y) \ y)) * z) = K(x \ (z \ 1),z) * y. [para(5554(a,1),5653(a,2,1))]. 5655 K(x,y / (x / ((z * y) \ 1))) = y / (K(z \ (x \ 1),x) * y). [para(5654(a,1),5043(a,1,2)),flip(a)]. 5656 K(x,y / (x / ((z * y) \ 1))) != u | K(x,z \ (x \ 1)) = u. [para(5655(a,2),3910(a,1))]. 5657 K(x,(y * x) \ 1) = K(x,y \ (x \ 1)). [hyper(5656,a,4598,a),flip(a)]. 5658 (x * y) * L(z * ((y \ 1) / z),y,x) = (x * y) * (z * (((x * y) \ x) / z)). [para(5117(a,2),5640(a,1,2))]. 5659 K(((x * y) * z) \ (y * z),R(T(x,u),y,z)) = K(x \ 1,x). [hyper(189,a,3174,a(flip),b,5652,a)]. 5661 K(x \ 1,x) * ((y * z) / ((x * y) * z)) = (((y * z) / ((x * y) * z)) \ 1) \ 1. [para(5659(a,1),3024(a,1,1))]. 5662 (x * y) * (z * (((x * y) \ x) / z)) = x * (y * (z * ((y \ 1) / z))). [hyper(207,a,5658,a),flip(a)]. 5663 ((x * (y / x)) \ T(y,z)) * (x * (y / x)) = T(y,z). [para(3946(a,1),4343(a,1,1,2,1))]. 5664 T(x,y) / (z * (x / z)) = (z * (x / z)) \ T(x,y). [hyper(88,a,5663,a)]. 5665 T(x,y) / (T(x,y) / (z * (x / z))) = z * (x / z). [para(5664(a,2),67(a,1,2))]. 5666 K(x,R(y,z,u) \ 1) * (z * u) = (K(x,y \ 1) * z) * u. [para(4643(a,1),4917(a,1,1))]. 5667 R(K(x,y \ 1),z,u) = K(x,R(y,z,u) \ 1). [hyper(21,a,110,a,b,5666,a),flip(a)]. 5668 K(x,R(y \ 1,z,u) \ 1) = R(K(x,y),z,u). [para(3081(a,1),5667(a,1,1)),flip(a)]. 5670 K(x,R(y / z,u,w) \ 1) = R(K(x,z / y),u,w). [para(4773(a,1),5667(a,1,1)),flip(a)]. 5671 R(K(x,y \ (x \ 1)),z,u) = K(x,R(y * x,z,u) \ 1). [para(5657(a,1),5667(a,1,1))]. 5672 R(K(x,y),z,u) \ w = R(K(y,x),z,u) * w. [para(5668(a,1),4822(a,1,1)),flip(a)]. 5673 (x * y) / ((K(z,u) * x) * y) = R(K(u,z),x,y). [hyper(460,a,5672,a)]. 5674 (x * y) / (((z \ x) * z) * y) = R(K(z,z \ x),x,y). [para(4291(a,1),5673(a,1,2,1))]. 5675 (x * y) / ((z * (x / z)) * y) = R(K(z \ x,z),x,y). [para(4314(a,1),5673(a,1,2,1))]. 5676 ((x * y) * z) / ((x * T(y,T(u,x))) * z) = R(K(u,y),x * y,z). [para(5460(a,1),5673(a,1,2,1))]. 5677 R(K(x,y / z),y,u) = K(x,(y * u) / (z * u)). [hyper(4782,a,5670,a),flip(a)]. 5678 R(K(x,(y / z) / u),y / z,z) = K(x,y / (u * z)). [para(19(a,1),5677(a,2,2,1))]. 5679 R(K(x,y / (z / u)),y,u) = K(x,(y * u) / z). [para(19(a,1),5677(a,2,2,2))]. 5680 K(x,(y * z) / ((u \ y) * z)) = R(K(x,u),y,z). [para(67(a,1),5677(a,1,1,2)),flip(a)]. 5681 R(K(x,(y / z) \ x),x,z) = K(x,(x * z) / y). [para(4596(a,1),5679(a,1,1))]. 5682 K(x,R(y,y \ z,u)) = R(K(x,y),z,u). [para(108(a,2),5680(a,1,2))]. 5683 R(K(x,y),y * z,u) = K(x,R(y,z,u)). [para(16(a,1),5682(a,1,2,2)),flip(a)]. 5684 R(K(x,R(y,z,u)),(y * z) * u,w) = K(x,R(R(y,z,u),z * u,w)). [para(133(a,1),5682(a,1,2,2)),flip(a)]. 5685 K(R(x,y * z,u) \ 1,y) = K(x \ 1,R(y,z,u)). [hyper(4937,a,5683,a)]. 5686 R(T(K(x,y),z),y * u,w) = T(K(x,R(y,u,w)),z). [para(5683(a,1),45(a,2,1))]. 5687 K(x,(x * y) / z) != u | K(x,(z / y) \ x) = u. [para(5681(a,1),3747(a,1))]. 5688 R(T(K(x,y),z),y * u,w) = K(x,T(R(y,u,w),z)). [hyper(189,a,5334,a,b,5686,a)]. 5689 R(T(K(x,y),z),y * u,w) = K(x,R(T(y,z),u,w)). [para(45(a,2),5688(a,2,2))]. 5690 R(K(x,T(y,z)),y * u,w) = K(x,R(T(y,z),u,w)). [para(5334(a,2),5689(a,1,1))]. 5691 K(x,R(T(y,z),y \ u,w)) = R(K(x,T(y,z)),u,w). [para(17(a,1),5690(a,1,2)),flip(a)]. 5692 R(K(x,y),(y * K(z,y)) * u,w) = K(x,R(T(y * K(z,y),z),u,w)). [para(4374(a,1),5690(a,1,1,2))]. 5693 R(K(x,x \ (y / z)),y / z,z) = y / (((x \ (y / z)) * x) * z). [hyper(189,a,185,a(flip),b,5674,a(flip))]. 5694 x / (((y \ (x / z)) * y) * z) = K(y,((y * z) / x) \ 1). [hyper(189,a,5610,a(flip),b,5693,a(flip))]. 5695 x / (y * ((z \ (y \ x)) * z)) = K(z,((z * y) / x) \ 1). [para(4183(a,1),5694(a,1,2))]. 5696 x / (y * ((z \ (y \ x)) * z)) = K(z,x / (z * y)). [hyper(189,a,4773,a(flip),b,5695,a)]. 5697 K(x,y / (x / (z \ 1))) = K(x,y / (x * z)). [hyper(189,a,5043,a(flip),b,5696,a(flip)),flip(a)]. 5698 x / (((y \ z) * y) * (z \ x)) = K(y,x / (y * (z \ x))). [para(4191(a,1),5696(a,1,2))]. 5699 K(x,y / (x * (z * y))) = K(x,z \ (x \ 1)). [hyper(5656,a,5697,a),flip(a)]. 5700 K(x,y / (x * (z * y))) != u | K(x,z \ (x \ 1)) = u. [para(5697(a,1),5656(a,1))]. 5701 K(x,(y * z) / (x * ((u * y) * z))) != w | K(x,R(u,y,z) \ (x \ 1)) = w. [para(110(a,1),5700(a,1,2,2,2))]. 5702 (x * y) / (((z \ R(R(1 / u,u,x),u * x,y)) * z) * ((u * x) * y)) = K(z,(x * y) / (z * (R(R(1 / u,u,x),u * x,y) \ (x * y)))). [para(452(a,1),5698(a,1,2,2))]. 5703 R(K(x,y),y * (K(z,y) * u),w) = K(x,R(T(y * K(z,y),z),u,w)). [para(3828(a,1),5692(a,1,2))]. 5704 K(x,R(T(y * K(z,y),z),u,w)) = K(x,R(y,K(z,y) * u,w)). [hyper(189,a,5683,a(flip),b,5703,a(flip))]. 5705 K(x,R(y,K(z,y) * u,w)) = K(x,R(y,u,w)). [para(4374(a,1),5704(a,1,2,1)),flip(a)]. 5706 K(x,R(y,K(y,z) * u,w)) = K(x,R(y,u,w)). [para(3887(a,1),5705(a,1,2,2)),flip(a)]. 5707 K(R(x,K(x,y) * z,u),w) = (v5 * K(w,R(x,z,u))) \ v5. [para(5706(a,1),3918(a,1,1,2)),flip(a)]. 5708 K(R(x,K(x,y) * z,u),w) != v5 | K(R(x,z,u),w) = v5. [para(5707(a,2),3922(a,1))]. 5709 T(x,T(y * K(x,y),T(x,z))) * T(y * K(x,y),T(x,u)) = x * ((T(x,y) * T(y,T(x,u))) / x). [para(5580(a,1),5582(a,2,2))]. 5710 T(T(x,y),y) * T(y,T(T(x,y),z)) = T(x,y) * T(y * K(x,y),T(x,z)). [para(5459(a,1),5581(a,1,2)),flip(a)]. 5711 T(x,y) * T(y * K(x,y),T(x,z)) = T(T(x,y),y) * T(y,T(x,z)). [para(3531(a,1),5710(a,1,2)),flip(a)]. 5712 (T(T(x,y),y) * T(y,T(x,z))) / K(x,T(y * K(x,y),T(x,z))) = T(x,y) * T(y,T(x,z)). [para(5711(a,1),5185(a,1,1))]. 5714 (x \ R(x,y,z)) * K((R(x,y,z) \ 1) \ 1,u) = x \ R(T(x,u),y,z). [para(2962(a,1),4914(a,1,2,1,1))]. 5715 (x \ R(x,y,z)) * K(R(x,y,z),u) = x \ R(T(x,u),y,z). [para(2648(a,1),5714(a,1,2))]. 5716 (x * y) * L(z \ T(z * (y \ (z \ 1)),z),y,x) = (x * K(y \ 1,z)) * (z \ 1). [para(1354(a,2),5053(a,1,2))]. 5717 K((((x \ y) \ 1) * (x \ 1)) \ 1,z) / (x \ T(y,z)) = 1 / (x \ y). [para(5575(a,1),5502(a,1,1))]. 5718 x * (y * (z \ T(z * (y \ (z \ 1)),z))) = (x * K(y \ 1,z)) * (z \ 1). [hyper(207,a,5716,a)]. 5719 (x * K(y \ 1,z)) * (z \ 1) = x * (K(y \ 1,z) * (z \ 1)). [para(4840(a,1),5718(a,1,2)),flip(a)]. 5720 (x * K(y \ 1,z)) * (z \ 1) = x * (T(z,y \ 1) \ 1). [para(4558(a,1),5719(a,2,2))]. 5721 (x * K(y,z)) * (z \ 1) = x * (T(z,(1 / y) \ 1) \ 1). [para(69(a,1),5720(a,1,1,2,1))]. 5722 (x * K(y,z)) * (z \ 1) = x * (T(z,y) \ 1). [para(69(a,1),5721(a,2,2,1,2))]. 5723 x \ T(x * (y \ 1),y) = T(y,y \ x) \ 1. [hyper(75,a,684,a(flip),b,5722,a(flip))]. 5724 (x * (y \ 1)) \ (x * (T(y,z) \ 1)) = K(z,y). [hyper(75,a,5722,a(flip),b,5033,a(flip))]. 5728 x \ T(x * (y \ 1),y) = ((y \ x) \ x) \ 1. [hyper(189,a,523,a(flip),b,5723,a)]. 5730 x * K(y,z) != u * (T(z,y) \ 1) | u * (z \ 1) = x. [para(5724(a,1),87(a,1,2)),flip(b)]. 5731 T((x \ 1) * y,x) = (((x \ y) \ y) \ 1) * y. [para(5728(a,1),4160(a,1,1)),flip(a)]. 5732 (((x \ 1) * y) \ y) \ y = (((x \ y) \ y) \ 1) * y. [hyper(189,a,3759,a(flip),b,5731,a(flip)),flip(a)]. 5733 (((L(x,y,z) \ 1) * x) \ x) \ x = (L(x,y,z) \ 1) * x. [para(5098(a,1),5732(a,2,1,1))]. 5734 (x * (T(y,z) \ 1)) * K(y,z) = x * (y \ 1). [hyper(5730,a,3919,a),flip(a)]. 5735 (x * (y \ 1)) \ (x * (T(y,z) \ 1)) != u | K(z,y) = u. [para(5734(a,1),3922(a,1,1))]. 5736 L(K(x,y),y \ 1,z) != u | K(x,y) = u. [para(4535(a,1),5735(a,1))]. 5737 L((x \ 1) \ 1,y,z) \ x = (L(x,y,z) \ 1) * x. [para(5623(a,1),5733(a,1,1))]. 5738 x / ((L(x,y,z) \ 1) * x) = L((x \ 1) \ 1,y,z). [para(5737(a,1),67(a,1,2))]. 5739 (L((x \ 1) \ 1,y,z) \ ((x \ 1) \ 1)) * (x \ 1) = ((L(x,y,z) \ 1) * x) * (1 / x). [para(5737(a,1),3452(a,2,1))]. 5740 T(x,(K(y \ 1,y) * z) * ((u \ 1) \ w)) = T(x,z * ((K(y,y \ 1) / u) \ w)). [para(4138(a,1),4136(a,2,2))]. 5741 L(L(x,y,T(z,u)),T(z,u) * y,K(u,z)) = (z * y) \ (z * (y * x)). [para(4383(a,1),4563(a,2,2))]. 5742 L(L(x,y,T(z,u)),T(z,u) * y,K(u,z)) != w | L(x,y,z) = w. [para(5741(a,2),355(a,1))]. 5744 R(K(R(x,y,z),u),R(x,y,z),y * z) = ((T(x,u) * y) * z) / ((x * y) * z). [para(110(a,1),4811(a,1,1)),flip(a)]. 5745 ((T(x,y) * z) * u) / ((x * z) * u) = K(R(x,z,u),y). [hyper(3747,a,5744,a),flip(a)]. 5746 R(K(x,y),x * z,u) = K(R(x,z,u),y). [hyper(4572,a,5745,a)]. 5748 K(R(x,y,z),x \ 1) = K(x,x \ 1). [hyper(189,a,3236,a(flip),b,5746,a(flip))]. 5749 K(R(x,x \ y,z),u) = R(K(x,u),y,z). [para(17(a,1),5746(a,1,2)),flip(a)]. 5750 K(R(x,K(x,y) * (x \ z),u),w) = R(K(x,w),K(x,y) * z,u). [para(4552(a,1),5746(a,1,2)),flip(a)]. 5751 R(x,y,z) * (1 / R(x,y,z)) = K(x,x \ 1). [hyper(189,a,3166,a,b,5748,a(flip)),flip(a)]. 5752 K(R(x,x \ 1,y),z) = K(x,z). [hyper(189,a,272,a(flip),b,5749,a)]. 5753 K((x * y) / ((z \ x) * y),u) = R(K(z,u),x,y). [para(108(a,1),5749(a,1,1))]. 5755 (1 / x) * (R(x,y,z) \ x) = 1 / R(x,y,z). [hyper(20,a,3240,a,b,5751,a),flip(a)]. 5756 (1 / x) \ (1 / R(x,y,z)) = R(x,y,z) \ x. [hyper(80,a,5755,a)]. 5757 (x \ R(x,y,z)) \ 1 = R(x,y,z) \ x. [hyper(189,a,4142,a(flip),b,5756,a(flip)),flip(a)]. 5758 R(K(x / y,z),x,u) = K((x * u) / (y * u),z). [para(69(a,1),5753(a,1,1,2,1)),flip(a)]. 5759 R(K(x / y,T(z,x * u)),x,u) = K((y * u) \ (x * u),z). [hyper(189,a,5340,a(flip),b,5758,a)]. 5760 R(K((x / y) / z,u),x / y,y) = K(x / (z * y),u). [para(19(a,1),5758(a,2,1,1))]. 5761 R(K(x / (y / z),u),x,z) = K((x * z) / y,u). [para(19(a,1),5758(a,2,1,2))]. 5762 K((x * y) / (z * y),T(u,x)) = R(K(z \ x,u),x,y). [para(5340(a,1),5758(a,1,1)),flip(a)]. 5763 K((x * y) / z,x) = K(x / (z / y),x). [hyper(189,a,3831,a(flip),b,5761,a(flip))]. 5764 K((x * y) / z,x) != u | K((z / y) \ x,x) = u. [para(5763(a,2),5470(a,1))]. 5765 R(K(x \ (y / z),y / z),y / z,z) = K(y / (x * z),y / z). [para(4764(a,1),5760(a,1,1))]. 5766 R(K(x,y),K(x,z) * u,w) = K(R(x,x \ u,w),y). [hyper(5708,a,5750,a),flip(a)]. 5767 R(K(x,y),K(x,z) * u,w) = R(K(x,y),u,w). [hyper(189,a,5749,a(flip),b,5766,a)]. 5768 (x * y) / L(y,x,y * K(x * y,y)) = (R(y * K(x,y),x,y) * x) / y. [para(4405(a,1),4813(a,1,1))]. 5769 (x / L(y,x,y * K(x * y,y))) * y = (R(y * K(x,y),x,y) * x) / y. [hyper(1265,a,5768,a)]. 5770 (x / L(y,x,y * K(x * y,y))) * y = (x * R(y,x,y)) / y. [para(4426(a,1),5769(a,2,1))]. 5771 (x / L(y,x,y * K(x * y,y))) * y = T(y * x,y) / y. [para(3668(a,1),5770(a,2,1))]. 5772 (x / T(y * K(x,y),y * x)) * y = T(y * x,y) / y. [para(5646(a,1),5771(a,1,1,2))]. 5773 (x / L(y,x,y)) * y = T(y * x,y) / y. [para(4485(a,1),5772(a,1,1,2))]. 5774 (T(x * y,x) / x) \ (y * x) = L(x,y,x). [para(5773(a,1),1249(a,1,1))]. 5775 T((((x / y) \ 1) \ y) * ((x / y) \ 1),z) = (x / y) \ T(x * K(y,z),(x / y) \ 1). [hyper(189,a,4153,a,b,5175,a),flip(a)]. 5776 K(x,y) * ((((z * x) \ z) \ K(x,y)) \ u) = (((z * x) \ z) \ 1) \ u. [para(5224(a,1),5508(a,1,1))]. 5779 L((x \ 1) \ 1,y,z) \ ((x \ 1) \ 1) = L(x,y,z) \ x. [hyper(21,a,4930,a(flip),b,5739,a)]. 5780 (x / y) \ T(x * K(y,z),(x / y) \ 1) = T(x * (y / x),z). [para(3386(a,1),5775(a,1,1)),flip(a)]. 5781 K(x * K(y,z),(x / y) \ 1) = T(x * (y / x),z) / T(y,z). [para(5780(a,1),5191(a,1,1)),flip(a)]. 5782 K((x / y) \ 1,x * K(y,z)) = T(y,z) / T(x * (y / x),z). [para(5780(a,1),5192(a,1,2)),flip(a)]. 5783 L(x,y * K(z \ 1,z),u) = (u * y) \ (u * (y * x)). [para(4109(a,1),4139(a,1,2)),flip(a)]. 5784 L(x,y * K(z \ 1,z),u) = L(x,y,u). [hyper(189,a,31,a,b,5783,a)]. 5786 L(x,(y \ 1) \ 1,z) = L(x,y,z). [para(1142(a,1),5784(a,1,2)),flip(a)]. 5787 L(x,T(y,y \ 1),z) = L(x,y,z). [para(1143(a,1),5784(a,1,2)),flip(a)]. 5788 L(x,1 / y,z) = L(x,y \ 1,z). [para(1198(a,1),5784(a,1,2)),flip(a)]. 5789 L(K(x,y \ 1),y,z) = K(x,y \ 1). [hyper(5736,a,5786,a),flip(a)]. 5792 (x * T(y,y \ 1)) * L(z,y,x) = x * (T(y,y \ 1) * z). [para(5787(a,1),102(a,1,2))]. 5793 (x * y) * K(z,y \ 1) = x * (y * K(z,y \ 1)). [para(5789(a,1),102(a,1,2))]. 5794 R(x,y,K(z,y \ 1)) = x. [hyper(376,a,5793,a)]. 5795 R(x,y \ z,K(u,z \ y)) = x. [para(5258(a,1),5794(a,1,3))]. 5796 x \ (y * K(z,y \ x)) = (x \ y) * K(z,y \ x). [para(5795(a,1),370(a,1,1))]. 5797 T(x \ y,z) * ((y \ x) * K(z,x \ y)) = T((x \ y) * (y \ x),z). [para(5796(a,1),5108(a,1,2))]. 5798 (x * T(y,y \ 1)) * z != x * (T(y,y \ 1) * u) | L(u,y,x) = z. [para(5792(a,1),22(a,1)),flip(a)]. 5799 T((x \ y) * (y \ x),z) = (x \ y) * (y \ x). [hyper(189,a,5510,a(flip),b,5797,a(flip))]. 5801 T(x,(y \ z) * (z \ y)) = x. [hyper(38,a,5799,a)]. 5804 T(x,y * ((z * y) \ z)) = x. [para(16(a,1),5801(a,1,2,1))]. 5806 x / (y * ((z * y) \ z)) = (y * ((z * y) \ z)) \ x. [hyper(307,a,5804,a),flip(a)]. 5808 T(x * ((y * x) \ y),z) = x * ((y * x) \ y). [hyper(38,a,5804,a)]. 5810 T(x * L(x \ 1,x,y),z) = x * ((y * x) \ y). [para(140(a,2),5808(a,1,1,2))]. 5811 T(x,y) * K(R(x,z,u) * y,T(x,y)) = R(x,y,R(T(x,y),z,u)). [hyper(650,a,4494,a),flip(a)]. 5812 K((((x * y) * z) \ (x * z)) \ 1,x) = ((x * y) * z) \ ((y * x) * z). [para(505(a,1),4751(a,1,2)),flip(a)]. 5813 ((x \ y) \ y) \ R((x \ y) \ y,z,u) = x \ (y \ ((R(x,z,u) * (x \ y)) * x)). [hyper(4892,a,5105,a)]. 5814 ((x * y) * z) / ((x * T(x \ (x * y),u)) * z) = K(u,R(y * K(x,y),x,z)). [para(1117(a,1),4919(a,1,2))]. 5815 ((x * y) * z) / ((x * T(y,u)) * z) = K(u,R(y * K(x,y),x,z)). [para(16(a,1),5814(a,1,2,1,2,1))]. 5816 K(x,y / (z * (x / ((z \ 1) \ 1)))) = K(x,x \ y). [hyper(189,a,5123,a(flip),b,5111,a(flip))]. 5818 (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(927(a,1),3728(a,1,1))]. 5819 (R(x,y,z) * (u * x)) \ ((R(x,y,z) * u) * x) = a(x,T(u,x),R(T(x,u),y,z)). [para(935(a,1),5818(a,1,2))]. 5820 a(x,T(y,x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(553,a,5819,a),flip(a)]. 5821 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(189,a,4009,a,b,5820,a(flip)),flip(a)]. 5822 a(T(x,y),T(T(y,x),x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [para(3521(a,1),5821(a,1,1))]. 5823 T(x * (y * K(z,u)),L(K(u,z),y * K(z,u),x)) = L(K(u,z),y / K(u,z),x) \ (x * y). [para(3890(a,1),3925(a,1,2,2))]. 5824 (K(x,y) * (K(x,z) * u)) / (K(x,y) * u) = K((1 / x) \ 1,z). [para(4839(a,1),5021(a,1,1,2))]. 5825 (K(x,y) * (K(x,z) * u)) / (K(x,y) * u) = K(x,z). [hyper(189,a,1216,a(flip),b,5824,a)]. 5827 K(x,y) * (K(x,z) * u) = K(x,z) * (K(x,y) * u). [para(5825(a,1),19(a,1,1))]. 5828 K(x,y) * (K(y,z) * (K(y,x) * u)) = K(y,z) * u. [hyper(3907,a,5827,a)]. 5829 K(x,y) * (K(x,z) * T(u,K(x,y))) = K(x,z) * (u * K(x,y)). [para(113(a,1),5827(a,1,2)),flip(a)]. 5830 K(x,y) * (K(z,x) * u) = K(z,x) * (K(x,y) * u). [para(3887(a,1),5828(a,1,2,2)),flip(a)]. 5831 (T(T(x,y),y) * T(y,T(x,z))) / K(x,y * K(x,y)) = T(x,y) * T(y,T(x,z)). [para(5341(a,1),5712(a,1,2))]. 5832 (T(T(x,y),y) * T(y,T(x,z))) / K(x,y) = T(x,y) * T(y,T(x,z)). [para(4429(a,1),5831(a,1,2))]. 5834 L((x \ 1) \ y,x \ 1,x * ((1 / x) * (x * z))) = ((x * z) / x) \ (T(T(x,z) * z,x) * y). [para(4206(a,1),4699(a,1,3))]. 5835 R(x,K(y,z),L(L(z,u,w),K(y,z),x)) = x. [hyper(189,a,18,a(flip),b,5300,a)]. 5837 R(x,K(y,z),L(z,u,w)) = x. [para(5295(a,1),5835(a,1,3))]. 5839 R(x,K(y,z),L(T(z,u),w,v5)) = x. [para(5396(a,1),5837(a,1,2))]. 5840 x / (K(y,z) * L(T(z,u),w,v5)) = (x / L(T(z,u),w,v5)) * K(z,y). [hyper(189,a,3924,a(flip),b,5839,a(flip)),flip(a)]. 5841 (L(x \ 1,y,z) \ (x \ 1)) * T(1 / (1 / x),x \ 1) = L(x \ 1,y,z) \ K(x \ 1,x). [hyper(189,a,4111,a(flip),b,5009,a)]. 5842 (L(x \ 1,y,z) \ (x \ 1)) * T(1 / (1 / x),x \ 1) = (x \ 1) * (L(x \ 1,y,z) \ x). [hyper(189,a,970,a(flip),b,5841,a)]. 5843 (L(x \ 1,y,z) \ (x \ 1)) * x = (x \ 1) * (L(x \ 1,y,z) \ x). [para(952(a,1),5842(a,1,2))]. 5844 (L(x \ 1,y,z) \ (x \ 1)) \ (L(1 / x,y,z) \ 1) = x. [hyper(75,a,5086,a(flip),b,5843,a)]. 5845 T(R(x,y,x),z) * (T(x,y) \ (x * y)) = T(x,y) \ ((T(x,z) * y) * T(x,y)). [para(4475(a,1),5020(a,1,1,1))]. 5846 R(T(x,y),z,x) * (T(x,z) \ (x * z)) = T(x,z) \ ((T(x,y) * z) * T(x,z)). [para(45(a,2),5845(a,1,1))]. 5847 T(x,y) \ ((T(x,z) * y) * T(x,y)) = R(T(x,z),y,x) * T(y,x). [para(3528(a,1),5846(a,1,2)),flip(a)]. 5848 R(T(x,y),z,x) * T(z,x) = T(T(x,y) * z,T(x,z)). [hyper(238,a,5847,a),flip(a)]. 5849 T(x,y) * T(y * K(x,y),T(x,z)) = x * ((T(x,y) * T(y,T(x,z))) / x). [para(4431(a,1),5709(a,1,1,2))]. 5850 T(T(x,y),y) * T(y,T(x,z)) = x * ((T(x,y) * T(y,T(x,z))) / x). [hyper(189,a,5711,a(flip),b,5849,a(flip)),flip(a)]. 5851 (x * ((1 / (y * x)) * y)) \ ((1 / (y * x)) * y) = x \ 1. [hyper(189,a,1857,a(flip),b,4882,a(flip))]. 5853 (L(x,y,z) * ((1 / x) * (L(x,y,z) \ x))) \ ((1 / ((L(x,y,z) \ x) * L(x,y,z))) * (L(x,y,z) \ x)) = L(x,y,z) \ 1. [para(5097(a,1),5851(a,1,1,2,1,2))]. 5854 T(x,y) \ T(T(x,y) * (K(y,x) * K(z,z \ x)),u) = T(z * (x / z),u) / T(T(x,y),z * (x / z)). [para(5590(a,1),4188(a,1,2,1,2))]. 5855 L(K(x * L(y,z,u),x),L(y,z,u),u * z) = (u * (z * y)) \ (u * (z * (y * K(y * x,x)))). [para(102(a,1),5629(a,1,2)),flip(a)]. 5856 L(L(K(x * y,y),x,z),z * x,u) = L(K(y * L(x,z,u),y),L(x,z,u),u * z). [hyper(189,a,348,a(flip),b,5855,a),flip(a)]. 5857 T(x * (y / x),z) / T(T(y,u),x * (y / x)) = T(y,u) \ T(x * (y / x),z). [para(4583(a,1),5854(a,1,2,1)),flip(a)]. 5858 T(x * (y / x),z) / T(y,u) = T(y,u) \ T(x * (y / x),z). [para(3781(a,1),5857(a,1,2))]. 5860 K(x * K(y,z),(x / y) \ 1) = T(y,z) \ T(x * (y / x),z). [hyper(189,a,5781,a,b,5858,a(flip)),flip(a)]. 5862 K(x * K(y,z),(x / y) \ 1) = K(x,x \ T(y,z)). [hyper(189,a,4178,a(flip),b,5860,a)]. 5863 T(R(x,y,z) * K(u * R((1 / x) \ 1,y,z),R(x,y,z)),u) = R(R(x,y,z),u,L(R(x,y,z),x \ 1,x)). [para(5568(a,1),5049(a,1,1,2))]. 5864 (x / (y * K(z,y))) * R(y * K(z,y),z,L(y,u,w)) = (x * K(z * L(y,u,w),y)) * K(y,z). [hyper(189,a,5286,a(flip),b,5051,a)]. 5865 T(R(x,y,z) * K(u * R(x,y,z),R(x,y,z)),u) = R(R(x,y,z),u,L(R(x,y,z),x \ 1,x)). [para(69(a,1),5863(a,1,1,2,1,2,1))]. 5866 L(x,((y \ 1) \ y) \ y,z / T(y \ 1,(y \ 1) \ y)) = z \ ((z / (1 / y)) * ((((y \ 1) \ y) \ y) * x)). [para(123(a,1),4623(a,2,2,1,2,1))]. 5868 L(x,((y \ 1) \ y) \ y,z / T(y \ 1,(y \ 1) \ y)) = z \ ((z / (1 / y)) * (((y * y) \ y) * x)). [para(489(a,1),5866(a,2,2,2,1,1))]. 5869 L(x,((y \ 1) \ y) \ y,z / T(y \ 1,(y \ 1) \ y)) = z \ ((z / (1 / y)) * ((1 / y) * x)). [para(1888(a,1),5868(a,2,2,2,1))]. 5870 L(x,((y \ 1) \ y) \ y,z / T(y \ 1,(y \ 1) \ y)) = z \ (y * ((y \ z) * x)). [para(473(a,1),5869(a,2,2))]. 5871 L(x,((y \ 1) \ y) \ y,z / T(y \ 1,(y \ 1) \ y)) = L(x,y \ z,y). [hyper(189,a,103,a(flip),b,5870,a)]. 5872 L(x,(y * y) \ y,z / T(y \ 1,(y \ 1) \ y)) = L(x,y \ z,y). [para(489(a,1),5871(a,1,2,1))]. 5873 L(x,1 / y,z / T(y \ 1,(y \ 1) \ y)) = L(x,y \ z,y). [para(1888(a,1),5872(a,1,2))]. 5874 L(x,1 / y,z / T(y \ 1,y * y)) = L(x,y \ z,y). [para(489(a,1),5873(a,1,3,2,2))]. 5875 L(x,1 / y,z / (K(y,y) / y)) = L(x,y \ z,y). [para(4602(a,1),5874(a,1,3,2))]. 5876 L(x,1 / y,z / (1 / y)) = L(x,y \ z,y). [para(123(a,1),5875(a,1,3,2,1))]. 5878 x * ((T(y,(z \ x) \ u) * (x \ (z * u))) / T(y,(z \ x) \ u)) = z * (u * K(y,(u \ (z \ x)) \ 1)). [para(4858(a,1),4663(a,2,2))]. 5879 x * ((x \ (y * z)) * K(T(u,(y \ x) \ z),x \ (y * z))) = y * (z * K(u,(z \ (y \ x)) \ 1)). [hyper(189,a,4479,a(flip),b,5878,a(flip)),flip(a)]. 5880 x * ((x \ (y * z)) * K(u,x \ (y * z))) = y * (z * K(u,(z \ (y \ x)) \ 1)). [para(5618(a,1),5879(a,1,2,2))]. 5881 (x * y) * K(z,((x * y) \ u) \ 1) = x * (y * K(z,(y \ (x \ u)) \ 1)). [hyper(189,a,4858,a(flip),b,5880,a(flip)),flip(a)]. 5882 L(K(x,(y \ (z \ u)) \ 1),y,z) = K(x,((z * y) \ u) \ 1). [hyper(346,a,5881,a)]. 5883 L(K(x,(y \ z) \ 1),y,u) = K(x,((u * y) \ (u * z)) \ 1). [para(16(a,1),5882(a,1,1,2,1,2))]. 5884 K(x,((y * z) \ (y * (z * u))) \ 1) = L(K(x,u \ 1),z,y). [para(16(a,1),5883(a,1,1,2,1)),flip(a)]. 5885 L(K(x,y \ 1),z,u) = K(x,L(y,z,u) \ 1). [para(31(a,2),5884(a,1,2,1)),flip(a)]. 5886 K(x,L(1 / y,z,u) \ 1) = L(K(x,y),z,u). [para(69(a,1),5885(a,1,1,2)),flip(a)]. 5887 (x * y) * K(z,L(u,y,x) \ 1) = x * (y * K(z,u \ 1)). [para(5885(a,1),102(a,1,2))]. 5888 K(x,L(y \ 1,z,u) \ 1) = L(K(x,y),z,u). [para(3081(a,1),5885(a,1,1)),flip(a)]. 5890 L(K(x,y),z,u) \ 1 = L(K(y,x),z,u). [hyper(189,a,4833,a(flip),b,5888,a(flip)),flip(a)]. 5891 K(x,L(y,z / y,u)) = L(K(x,y),z,u). [hyper(5543,a,5890,a)]. 5892 1 / L(K(x,y),z,u) = L(K(y,x),z,u). [hyper(4284,a,5890,a)]. 5893 (x * L(K(y,z),u,w)) \ x = L(K(z,y),u,w). [hyper(189,a,4960,a,b,5890,a(flip)),flip(a)]. 5894 1 / L(K(x,y),z,u) != w | L(K(y,x),z,u) = w. [para(5890(a,1),246(a,1,2)),flip(b)]. 5895 L(K(x,y),z,u) \ w = L(K(y,x),z,u) * w. [para(5890(a,1),4946(a,1,1))]. 5896 L(K(x,y),x,z) = K(y,x) \ 1. [para(5302(a,1),5890(a,1,1)),flip(a)]. 5897 L(K(x,y),x,z) = K(x,y). [hyper(189,a,3871,a(flip),b,5896,a)]. 5898 L(K(x,y),x,z) != u | K(x,y) = u. [para(5896(a,2),3872(a,1))]. 5899 (x * y) * T(K(y,z),u) = x * (y * T(K(y,z),u)). [para(5897(a,1),350(a,1,2,1))]. 5900 (1 / x) \ L(K(x,y),z,u) = x * L(K(x,y),z,u). [para(5897(a,1),403(a,1,2,1))]. 5901 R(R(x,y,z),y * z,L(K(z,u),z,x * y)) = ((x * y) * (z * K(z,u))) / ((y * z) * K(z,u)). [para(5897(a,1),943(a,1,2,2)),flip(a)]. 5904 L(K(x,y),z * y,u) = K(x,L(y,z,u)). [para(18(a,1),5891(a,1,2,2)),flip(a)]. 5905 L(K(x,y \ z),z,u) = K(x,L(y \ z,y,u)). [para(67(a,1),5891(a,1,2,2)),flip(a)]. 5906 L(K(x,y),z,u) \ 1 != w | L(K(y,x),z,u) = w. [para(5892(a,1),236(a,1,1)),flip(b)]. 5907 L(L(K(x,y),z * y,u),y,w) = K(x,L(y,z,u)). [hyper(189,a,5309,a,b,5904,a(flip)),flip(a)]. 5908 x / L(K(y,z),u,w) != v5 | x * L(K(z,y),u,w) = v5. [para(5893(a,1),246(a,1,2)),flip(b)]. 5909 (x * (y * K(z,u))) \ (x * y) = L(K(u,z),y,x). [para(102(a,1),5893(a,1,1))]. 5910 L(K(x,y),z,u) * (L(K(y,x),z,u) * w) = w. [hyper(237,a,5895,a)]. 5911 L(K(x,y),z,u) \ K(x,w) = K(x,w) * L(K(y,x),z,u). [hyper(189,a,1963,a(flip),b,5895,a)]. 5912 K(x,L(y \ x,y,z)) = K(x,y \ x). [hyper(5898,a,5905,a),flip(a)]. 5913 L(K(x,y \ z),z,u) = K(x,(u * y) \ (u * z)). [para(104(a,1),5905(a,2,2))]. 5914 L(K(x,y \ (z \ u)),z \ u,z) = K(x,(z * y) \ u). [para(183(a,1),5905(a,2,2))]. 5915 L(K(x,(y \ z) \ u),u,y) = K(x,z \ (y * u)). [para(359(a,1),5905(a,2,2))]. 5916 K(x,(y \ z) \ x) = K(x,z \ (y * x)). [para(359(a,1),5912(a,1,2)),flip(a)]. 5917 K(x,L((y \ z) \ x,z / y,y)) = K(x,(y \ z) \ x). [para(4005(a,1),5912(a,1,2))]. 5918 L(K(x,y),z,u) \ w != v5 | L(K(y,x),z,u) * w = v5. [para(5910(a,1),237(a,1,2)),flip(b)]. 5919 L(K(x,L(y,z,u)),y,w) = K(x,L(y,z,u)). [para(5904(a,1),5907(a,1,1))]. 5920 K((x \ y) \ z,L(z,u,w)) = K(y \ (x * z),L(z,u,w)). [hyper(189,a,5527,a(flip),b,5919,a(flip))]. 5921 (x * (y * K(z,u))) * L(K(u,z),y,x) = x * y. [para(5909(a,1),17(a,1,2))]. 5923 (x * (y \ T(y * z,y))) \ (x * z) = L(K(y,y * z),z,x). [para(5198(a,2),5909(a,1,1,2))]. 5924 (x * (K(y,z) * u)) \ (x * u) = L(K(z,T(y,u)),u,x). [para(5370(a,1),5909(a,1,1,2))]. 5925 K(x,(y * (z \ u)) \ (y * u)) = L(K(x,T(z,u)),u,y). [para(5333(a,1),5913(a,1,1)),flip(a)]. 5926 (x * y) * K(z,u \ (x * y)) = x * (y * K(z,(x \ u) \ y)). [para(5915(a,1),102(a,1,2))]. 5927 K(x,y \ (z * x)) != u | K(x,(z \ y) \ x) = u. [para(5915(a,1),5898(a,1))]. 5928 (x * (y * K(z,u))) * w != x * y | L(K(u,z),y,x) = w. [para(5921(a,1),22(a,1)),flip(a)]. 5929 (x * (y * K(z,u))) \ (x * y) != w | L(K(u,z),y,x) = w. [para(5921(a,1),237(a,1,2)),flip(b)]. 5930 (x * (y * T(z,u))) * L(K(u,z),y * z,x) = x * (y * z). [para(5139(a,1),5921(a,1,1,2))]. 5931 (x * (K(y,z) * u)) * L(K(z,T(y,u)),u,x) = x * u. [para(5370(a,1),5921(a,1,1,2))]. 5932 (x * y) \ (y * (x * T(K(x,y),z))) = K(y,x) * T(K(x,y),z). [para(5899(a,1),3882(a,1,2))]. 5933 K(x,L((y \ z) \ x,z / y,y)) = K(x,z \ (y * x)). [hyper(189,a,5916,a(flip),b,5917,a)]. 5936 ((((x * (K(y,z) * u)) / (x * u)) \ 1) \ 1) \ (x * (K(y,z) * u)) = (x * (K(y,z) * u)) * ((L(K(z,T(y,u)),u,x) \ 1) \ 1). [para(5924(a,1),2577(a,2,2,1,1))]. 5937 L(K(x,T(y,z)),z,L(y,u,w)) != v5 | K(x,T(y,L(y,u,w) * z)) = v5. [para(5925(a,1),5496(a,1))]. 5938 K(x,y) * (L(K(x,z),u,w) \ 1) = L(K(x,z),u,w) \ K(x,y). [para(5890(a,2),5911(a,2,2)),flip(a)]. 5939 T(x,L(y,x,z) \ 1) = x * K(x,y \ 1). [hyper(5167,a,5887,a)]. 5940 T(x,L(y,x,z) \ 1) != u | T(x,y \ 1) = u. [para(5939(a,2),4399(a,1))]. 5941 K(x * (y \ T(y * z,y)),L(K(y,y * z),z,x)) / ((x * z) / (x * (y \ T(y * z,y)))) = 1 / ((x * (y \ T(y * z,y))) \ (x * z)). [para(5923(a,1),4301(a,1,1,2))]. 5942 (x * (y * T(z,u))) * K(u,L(z,y,x)) = x * (y * z). [para(5904(a,1),5930(a,1,2))]. 5943 (x * (y * z)) * K(z,L(y,z,x)) = x * (z * y). [para(113(a,1),5942(a,1,1,2))]. 5945 x * (y * K(z,(x \ 1) \ y)) = (x * y) * K(z,x * y). [para(58(a,1),5926(a,1,2,2)),flip(a)]. 5946 K(x \ (y * z),(y \ 1) \ z) = K((y \ x) \ z,y * z). [hyper(5598,a,5945,a(flip))]. 5948 K((x \ y) \ (x \ z),x * (x \ z)) = K(y \ z,(x \ 1) \ (x \ z)). [para(17(a,1),5946(a,1,1,2)),flip(a)]. 5949 (x * y) \ (y * (x * T(K(x,y),z))) = K(z,K(y,x)). [hyper(189,a,4463,a(flip),b,5932,a)]. 5950 (x * y) \ (y * T(x,T(y,z))) = K(z,K(y,x)). [para(5349(a,1),5949(a,1,2,2))]. 5951 (x * y) \ T(x * y,K(y,z)) = K(z,K(y,x)). [para(5523(a,2),5950(a,1,2))]. 5952 K(x * y,K(y,z)) = K(z,K(y,x)). [hyper(4413,a,5951,a)]. 5953 K(x,K(y,z)) = K(z,K(y,x)). [hyper(189,a,5487,a(flip),b,5952,a(flip))]. 5954 K(K(x,y),z) = K(x,K(y,z)). [hyper(4616,a,5953,a)]. 5955 K(x,K(y,z * y)) = K(x,K(y,z)). [hyper(189,a,5952,a(flip),b,5953,a)]. 5956 K(x,K(y,z)) \ 1 = K(z,K(x,y)). [para(5953(a,1),4593(a,1,1))]. 5958 K(x,y) * K(x,K(y,z)) = T(K(x,y),z). [para(5953(a,1),4595(a,1,2))]. 5959 K(K(L(x \ 1,y,z) \ 1,u),w) = L(K(x,K(u,w)),y,z). [hyper(189,a,4829,a(flip),b,5954,a)]. 5960 K(K(R(x \ 1,y,z) \ 1,u),w) = R(K(x,K(u,w)),y,z). [hyper(189,a,4820,a(flip),b,5954,a)]. 5961 T(x,K(y,z)) * K(y,K(z,x)) = x. [para(5954(a,1),4365(a,1,2))]. 5962 (K(x,K(y,z)) * u) / (K(x,y) \ u) = T(K(x,y),z). [para(5954(a,1),4550(a,1,1,1))]. 5963 K(x,K(y,z)) != u | K(z,K(y,x)) = u. [para(5954(a,1),4693(a,1))]. 5964 (x * K(y,z)) * K(y,K(z,u)) = x * T(K(y,z),u). [para(5954(a,1),5139(a,1,2))]. 5965 K(x,K(y,y * z)) = K(x,K(y,z)). [para(4576(a,1),5955(a,1,2))]. 5966 K(x,K(y,z)) = K(y,K(x,z)). [hyper(4594,a,5956,a)]. 5967 K(x,K(y,z)) != u | K(y,K(x,z)) = u. [para(5956(a,1),4594(a,1))]. 5968 K(K(x,y),z) = K(y,K(x,z)). [hyper(189,a,5954,a,b,5966,a),flip(a)]. 5969 K(x,K(y,z)) = K(z,K(x,y)). [hyper(189,a,5953,a,b,5966,a)]. 5970 x * K(y,K(x,z)) = T(x,K(y,z)). [para(5966(a,1),4396(a,2,2)),flip(a)]. 5971 K(x,K(y,z)) * y = T(y,K(x,z)). [para(5966(a,1),4403(a,2,1)),flip(a)]. 5972 x * K(y,K(x,z)) != u | T(x,K(y,z)) = u. [para(5966(a,1),4399(a,1,2))]. 5973 K(x,K(y,z)) * y != u | T(y,K(x,z)) = u. [para(5966(a,1),4404(a,1,1))]. 5974 (K(x,K(y,z)) * u) / (y \ u) = T(y,K(x,z)). [para(5966(a,1),4550(a,1,1,1))]. 5975 K(x,y) * T(x,K(z,u)) = T(x,y) * K(z,K(x,u)). [para(5966(a,1),4557(a,2,2))]. 5976 K(x,y) * K(y,K(z,x)) = T(K(x,y),z). [para(5966(a,1),4595(a,1,2))]. 5977 (K(x,K(y,z)) * u) / (y \ u) != w | T(y,K(x,z)) = w. [para(5966(a,1),4555(a,1,1,1))]. 5978 K(x,K(y,z)) * K(z,x) = K(z,T(x,y)). [para(5966(a,1),5338(a,1,1))]. 5979 K(K(x,y),z) = K(z,K(x,y)). [hyper(189,a,5953,a,b,5968,a)]. 5980 K(x,K(y,z)) * (z * K(y,x)) = K(y,x) * z. [para(5968(a,1),4373(a,1,1))]. 5981 K(x,K(R(y \ 1,z,u) \ 1,w)) = K(R(K(y,x),z,u),w). [para(4820(a,1),5968(a,1,1)),flip(a)]. 5982 K(x,K(L(y \ 1,z,u) \ 1,w)) = K(L(K(y,x),z,u),w). [para(4829(a,1),5968(a,1,1)),flip(a)]. 5983 K(x,K(y,z)) = K(x,K(z,y)). [hyper(189,a,5966,a,b,5969,a)]. 5984 K(x,K(y,z)) * z = T(z,K(x,y)). [para(5969(a,2),4403(a,2,1)),flip(a)]. 5985 K(x,K(y,z)) * (z * u) = T(z,K(x,y)) * u. [para(5969(a,2),4407(a,1,1))]. 5986 (K(x,K(y,z)) * u) / (y \ u) = T(y,K(z,x)). [para(5969(a,1),4550(a,1,1,1))]. 5987 K(x,K(y,z)) * K(y,x) = K(y,T(x,z)). [para(5969(a,2),5338(a,1,1))]. 5988 K(x,K(y,z)) * (K(z,u) * w) = K(z,u) * (K(z,K(x,y)) * w). [para(5969(a,2),5827(a,1,1))]. 5989 L(K(x * y,x) * K(x,K(z * y,x * y)),y,z) = (z * (T(x * y,x) / T(x,y))) / (z * y). [para(5969(a,1),5446(a,1,1,2))]. 5990 K(x,K(y,z)) * u != w | K(x,K(y,z)) * w = u. [para(5979(a,1),3907(a,1,1))]. 5991 K(x,K(y,z)) != u | K(x,K(z,y)) = u. [para(5979(a,1),4693(a,1))]. 5992 K(x,K(y,z * y)) = K(x,K(z,y)). [hyper(189,a,5955,a,b,5983,a),flip(a)]. 5993 T(x,K(y,z)) * K(z,x) = x * T(K(z,x),y). [para(5961(a,1),5146(a,1,1)),flip(a)]. 5994 K(x,K(y,y * z)) = K(y,K(x,z)). [hyper(189,a,5966,a,b,5965,a)]. 5995 K(x,K(y,y \ z)) = K(x,K(y,z)). [para(17(a,1),5965(a,1,2,2)),flip(a)]. 5996 K(x,K(y,z)) * K(y * z,y) = K(y * z,T(y,x)). [para(5965(a,1),5338(a,1,1))]. 5997 x * K(y,K(x,x * z)) = T(x,K(y,z * x)). [para(4576(a,1),5970(a,1,2,2))]. 5998 K(x,K(y,x * z)) = K(x,K(y,z)). [hyper(189,a,5966,a,b,5994,a(flip)),flip(a)]. 5999 K(x,K(y,y \ z)) = K(y,K(z,x)). [hyper(189,a,5969,a,b,5995,a)]. 6000 T(x,K(y,y \ z)) = x * K(x,K(y,z)). [para(5995(a,1),4396(a,2,2))]. 6001 K(x,K(x \ y,z)) = K(x,K(y,z)). [hyper(189,a,5969,a,b,5999,a(flip)),flip(a)]. 6002 K(x \ y,x) * K(x,K(y,z)) = T(K(x \ y,x),z). [para(5999(a,1),4595(a,1,2))]. 6003 K(x,K(x * y,z)) = K(x,K(y,z)). [para(16(a,1),6001(a,1,2,1)),flip(a)]. 6004 K(x,K(x \ y,T(z,y))) = K(x,K(y,z)). [para(3874(a,1),6001(a,2,2))]. 6009 K(x,K(y,z)) != u | K(y,K(z,x)) = u. [para(5983(a,1),5963(a,1))]. 6011 K(x,K(y,y \ z)) != u | K(y,K(z,x)) = u. [para(5995(a,2),6009(a,1))]. 6012 K(x,y) * K(x,K(y,z)) = K(x,T(y,z)). [hyper(189,a,5334,a,b,5958,a)]. 6014 K(x,K(y,z)) * K(x * y,x) = K(x * y,T(x,z)). [para(6003(a,1),5987(a,1,1))]. 6015 T(x,K(y,y \ z)) = T(x,K(y,z)). [hyper(189,a,4396,a,b,6000,a)]. 6016 T(x,K(y,y \ z)) != u | T(x,K(y,z)) = u. [para(6000(a,2),4399(a,1))]. 6017 K(x \ y,x) * (z / (x \ y)) = T(z / (y / x),K(x,y)). [hyper(5450,a,6015,a)]. 6018 T(x,K(y,y * z)) = T(x,K(y,z)). [para(16(a,1),6015(a,1,2,2)),flip(a)]. 6019 T(x * y,T(z,K(x,y))) = T(x * y,z). [para(6018(a,1),5378(a,1,2))]. 6020 K(x,T(y,z)) != K(x,y) * u | K(x,K(y,z)) = u. [para(6012(a,1),22(a,1))]. 6021 K(x,y) * K(z,K(x,y)) = K(x,T(y,z)). [para(5969(a,1),6012(a,1,2))]. 6022 (x * K(y,z)) / x = K(y,T(z,x)). [hyper(4384,a,6021,a)]. 6023 T(K(x,T(y,z)),z) = K(x,y). [para(6021(a,1),4374(a,1,1))]. 6024 K(x,T(y,z)) * z = z * K(x,y). [para(6021(a,1),4405(a,1,1))]. 6025 (x * (y * K(z,u))) / (x * y) = L(K(z,T(u,x * y)),y,x). [para(6021(a,1),4490(a,1,1)),flip(a)]. 6026 K(x,T(T(y,z),z)) = K(x,y). [hyper(5490,a,6023,a)]. 6027 K(T(x,y),T(z,y)) = K(x,z). [hyper(5431,a,6023,a)]. 6029 K(x \ y,T(z,y)) = K(y / x,z). [hyper(189,a,5210,a(flip),b,6023,a(flip)),flip(a)]. 6030 T(K(x,y \ z),z) = K(x,(y / z) \ 1). [para(4247(a,1),6023(a,1,1,2))]. 6031 T(T(K(x,y),z),z) = K(x,y). [para(5334(a,1),6023(a,1,1))]. 6032 T(T(x,y),T(z,y)) = K(x,z) * T(x,y). [para(6023(a,1),5387(a,1,1)),flip(a)]. 6033 K(x \ y,T(z,x)) = K(y / x,z). [hyper(5429,a,6026,a)]. 6034 K((x * y) / x,z) = K(y,T(z,x)). [hyper(5415,a,6026,a),flip(a)]. 6035 K(x,T(y \ z,y)) = K(x,z / y). [para(115(a,1),6026(a,1,2,1))]. 6036 K(x,(y * z) / y) = K(x,T(z,y)). [para(142(a,1),6026(a,1,2,1)),flip(a)]. 6037 K(x,R(T(T(y,z),z),u,w)) = K(x,R(y,u,w)). [para(635(a,2),6026(a,1,2))]. 6038 K((x * y) / x,z) != u | K(y,T(z,x)) = u. [para(6026(a,1),5415(a,1))]. 6039 K(T(x,y),z \ y) = K(x,y / z). [hyper(5325,a,6027,a)]. 6040 K(L(T(x,y),z,u),T(w,y)) = K(L(x,z,u),w). [para(43(a,2),6027(a,1,1))]. 6041 K(T(x,y),y \ z) = K(x,z / y). [para(115(a,1),6027(a,1,2))]. 6042 K(x,(T(y,z) * z) / T(y,z)) = K(T(x,y),z). [para(3591(a,1),6027(a,1,2)),flip(a)]. 6043 K(T(x / (x / y),z),u) = K(T(y,z),T(u,y \ x)). [para(3586(a,1),6027(a,1,1)),flip(a)]. 6046 K(x * K(y,x),z) = K(x,T(z,y)). [para(4374(a,1),6027(a,1,1)),flip(a)]. 6047 K(x,y * K(z,y)) = K(T(x,z),y). [para(4374(a,1),6027(a,1,2)),flip(a)]. 6048 x * K(T(x,y),T(z,y)) = T(x,z). [para(6027(a,2),4396(a,2,2)),flip(a)]. 6049 T(x * K(T(y,z),x),z) = K(y,x) * T(x,z). [para(6027(a,1),4656(a,1,1)),flip(a)]. 6050 T(x,T(y,z)) * z = (x * z) * K(x,y). [para(6027(a,1),5138(a,1,2)),flip(a)]. 6051 K(T(x,y),z) * y = y * K(x,z). [para(6027(a,1),5345(a,1,2)),flip(a)]. 6052 K(x,T(y,z)) * (z * K(y,x)) = z. [para(6027(a,1),5360(a,1,2,2))]. 6053 (x * K(y,z)) / x = T(K(y,z),x). [para(6031(a,1),143(a,1,1,2))]. 6054 L(T(K(x,y),z),u,w) * z = z * L(K(x,y),u,w). [para(6031(a,1),159(a,1,2,1)),flip(a)]. 6055 L(T(K(x,y),z),u,w) \ (z * L(K(x,y),u,w)) = z. [para(6031(a,1),179(a,1,2,2,1))]. 6056 T(x,K(y,z)) * K(y,z) = K(y,z) * x. [para(6031(a,1),3703(a,1,2))]. 6057 K(x * y,y * K(y \ 1,x)) = K(y \ 1,T(x,y)). [hyper(4871,a,6022,a)]. 6058 R(T(K(x,T(y,z)),z * u),z,u) != w | (z * u) \ ((z * K(x,y)) * u) = w. [para(6022(a,1),721(a,1,1,1))]. 6059 T(x,T(y,z)) * (x \ z) = z * K(x,y). [hyper(4606,a,6024,a)]. 6060 K(x,T(y \ z,z)) = K(x,z / y). [hyper(21,a,5271,a,b,6024,a)]. 6061 T(x,T(y,z)) * z = x * (z * K(x,y)). [para(6024(a,1),4376(a,1,2)),flip(a)]. 6062 (x * K(y,z)) / (y \ x) != u | T(y,T(z,x)) = u. [para(6024(a,1),4555(a,1,1))]. 6063 K(x \ y,z) * y = y * K(y / x,z). [para(5340(a,1),6024(a,1,1))]. 6064 K(x \ (y * z),T(y,z)) = K((y * z) / x,y). [hyper(5499,a,6029,a)]. 6065 K(x / (x / y),z) = K(y,T(z,x)). [hyper(4628,a,6029,a),flip(a)]. 6067 K(x / (x / y),z) != u | K(y,T(z,x)) = u. [para(6029(a,1),4628(a,1))]. 6068 K(x / y,x / z) != u | K(y \ x,z \ x) = u. [para(6029(a,1),5325(a,1))]. 6070 K(x / y,y * K(z,u)) = K(y \ x,K(z,u) * y). [hyper(189,a,5336,a(flip),b,6033,a(flip))]. 6071 K(((x * y) * z) / (x * (y * z)),u) = K(a(x,y,z),T(u,x * (y * z))). [para(27(a,2),6033(a,1,1)),flip(a)]. 6073 R(x,y,z) \ R(x * K((u * w) / u,x),y,z) = K(w,T(R(x,y,z),u)). [hyper(189,a,4741,a,b,6034,a(flip)),flip(a)]. 6074 K(x * T(x \ y,y),z) = K(y,T(z,x \ y)). [para(1464(a,1),6034(a,1,1))]. 6075 K(x \ T(x * y,y),z) = K(y,T(z,x * y)). [para(3338(a,1),6034(a,1,1))]. 6076 ((x * y) / x) * K(y,T(z,x)) = T((x * y) / x,z). [para(6034(a,1),4396(a,2,2)),flip(a)]. 6077 K(R(x * K(y,x),z,u),w) = K(R(x,z,u),T(w,y)). [para(4489(a,2),6034(a,1,1))]. 6078 L(K(x,T(y \ z,u)),y \ z,y) = K((u * x) / u,(z \ y) \ 1). [para(6034(a,1),4928(a,1,1))]. 6079 K(x,T(T(y,z),z)) != u | K(x,y) = u. [para(6034(a,1),5415(a,1))]. 6080 K(R(T(x,y),z,u),y \ w) = K(R(x,z,u),w / y). [hyper(189,a,5393,a,b,6035,a(flip)),flip(a)]. 6081 K(x,(y * z) / y) != u | K(T(x,y),z) = u. [para(6036(a,2),5430(a,1))]. 6082 K(T(x \ 1,y),z \ (x * y)) = K(x \ 1,(x * y) / z). [hyper(5438,a,6039,a)]. 6083 K(T(x,x \ y),z \ (y * (x \ 1))) = K(x,(y * (x \ 1)) / z). [para(3619(a,1),6039(a,1,1))]. 6084 K(x,(x \ y) / z) != u | K(T(x,y),z \ (x \ y)) = u. [para(6039(a,1),5434(a,1))]. 6085 K(T(x,x \ y),((x \ 1) * y) \ z) = K(x,z / ((x \ 1) * y)). [para(3610(a,1),6041(a,1,1))]. 6088 K(T(x,y),T(z,R(x,u,w) * y)) = K(R(x,y,R(T(x,y),u,w)),z). [para(5811(a,1),6046(a,1,1)),flip(a)]. 6089 K(x,y * K(z * y,y)) = K(T(x,y * z),y). [para(4617(a,2),6047(a,1,2,2))]. 6090 T(x,T(y,z * K(u,z))) = T(x,y * K(T(y,u),z)). [para(6047(a,1),4734(a,1,2,2)),flip(a)]. 6091 x / (K(T(y,z),x) * K(x * K(z,x),z)) = T(x * K(z,x),y). [para(6047(a,1),4672(a,1,2,1))]. 6092 T(x,T(T(y,z),z)) = T(x,y). [hyper(5407,a,6048,a)]. 6093 T(x,y * K(z,y)) = T(x,T(y,z)). [para(4374(a,1),6092(a,1,2,1)),flip(a)]. 6094 T(T(x,y),T(z,y)) = K(x,y) * T(x,z). [para(6092(a,1),5425(a,1,2)),flip(a)]. 6095 K(x,T(y,z)) * (z * x) = z * T(x,y). [para(6092(a,1),5460(a,2,2))]. 6097 K(K(x,y) * z,u) * z = z * K(z * K(x,y),u). [para(5410(a,1),6051(a,1,1))]. 6098 T(K(x,y),z) != K(x,y) * u | K(z,K(x,y)) = u. [para(6053(a,1),4481(a,1))]. 6099 K(x / (x / y),T(z,u)) = K(y,T(T(z,x),u)). [para(41(a,1),6065(a,2,2))]. 6100 K(x \ y,T(z,y)) != u | K(y / x,z) = u. [para(5340(a,1),6079(a,1))]. 6101 K(T(x,y),T(z,y)) != u | K(x,z) = u. [para(5380(a,2),6079(a,1))]. 6102 K(x \ y,T(z,x)) != u | K(y / x,z) = u. [para(5394(a,1),6079(a,1))]. 6103 K(x,T(y,R(T(x,z),u,w))) != v5 | K(x,y) = v5. [para(5399(a,1),6079(a,1))]. 6104 K(x * y,T(z,y * x)) != u | K(x * y,z) = u. [para(5419(a,1),6079(a,1))]. 6105 K(R(T(x,y),z,u),T(w,y)) != v5 | K(R(x,z,u),w) = v5. [para(5393(a,2),6079(a,1))]. 6106 K(x / y,T(z,x)) != u | K(y \ x,z) = u. [para(6029(a,1),6079(a,1))]. 6107 K(T(x,y),T(T(z,y),u)) != w | K(x,T(z,u)) = w. [para(41(a,1),6101(a,1,2))]. 6108 K(L(T(x,y),z,u),T(w,y)) != v5 | K(L(x,z,u),w) = v5. [para(43(a,2),6101(a,1,1))]. 6109 K(T(x,y),L(T(z,y),u,w)) != v5 | K(x,L(z,u,w)) = v5. [para(43(a,2),6101(a,1,2))]. 6110 K(T(x,y),R(T(z,y),u,w)) != v5 | K(x,R(z,u,w)) = v5. [para(45(a,2),6101(a,1,2))]. 6111 K(T(x,y),y \ z) != u | K(x,z / y) = u. [para(115(a,1),6101(a,1,2))]. 6112 K(R(x \ y,z,u),T(w,x)) != v5 | K(R(y / x,z,u),w) = v5. [para(163(a,1),6101(a,1,1))]. 6113 K(T(x,y),z \ y) != u | K(x,y / z) = u. [para(5332(a,1),6101(a,1))]. 6114 K(x,((y * z) / y) \ 1) = T(K(x,z \ 1),y). [para(5261(a,1),6030(a,1,1)),flip(a)]. 6115 (K(x,y) * z) * K(y,x) = T(z,K(x,y)). [hyper(3929,a,6056,a)]. 6116 T(K(x,y) * z,K(y,u)) * K(y,u) = K(x,y) * (K(y,u) * z). [hyper(189,a,5830,a(flip),b,6056,a)]. 6117 T(T(x,K(y,z)),K(y,z)) = x. [hyper(147,a,6056,a,b,xx)]. 6118 T(x,K(y,z)) = T(x,K(z,y)). [hyper(21,a,3958,a,b,6056,a)]. 6120 T(x * K(y,z),u) / x = x \ T(K(y,z) * x,u). [para(6056(a,1),4170(a,1,2,1)),flip(a)]. 6121 T(x,K(y,z)) != u | T(x,K(z,y)) = u. [para(6117(a,1),4592(a,1,1)),flip(b)]. 6122 K(x,y) * (z * K(y,x)) = T(z,K(x,y)). [hyper(3951,a,6118,a)]. 6123 T(K(x,y) * z,K(y,x)) != u | z * K(x,y) = u. [para(6118(a,1),4237(a,1))]. 6124 L(T(x,y),z,u) * (L(x,z,u) \ x) = x * K(L(x,z,u),y). [para(3532(a,1),6059(a,1,1))]. 6125 T(x * y,z) * ((x * y) \ K(x,y)) = K(x,y) * K(x * y,z). [para(6019(a,1),6059(a,1,1))]. 6126 (x * y) * K(x,z) = x * (y * K(x,z)). [hyper(189,a,6050,a(flip),b,6061,a(flip)),flip(a)]. 6127 x * (y * K(x,T(y,z))) = T(x,T(y,z)) * y. [para(124(a,1),6061(a,1,1,2)),flip(a)]. 6129 K(x \ y,z) \ (y * K(y / x,z)) != u | u = y. [para(6063(a,1),237(a,1,2))]. 6130 K(x / y,z) * K(K(y \ x,z) * x,x) = x \ T(x * K(x / y,z),x). [para(6063(a,2),5198(a,2,2,1)),flip(a)]. 6131 (T(x * K(y \ x,z),x) / x) \ (x * K(x / y,z)) = L(x,K(y \ x,z),x). [para(6063(a,1),5774(a,1,2))]. 6132 x * (K(y,x) * T(y,z)) = T(y,T(z,x)) * x. [para(6094(a,1),158(a,1,2))]. 6133 (x * T(y,z)) / T(x,y) = T(y,T(z,x)). [hyper(76,a,6095,a(flip),b,4542,a(flip))]. 6134 T(K(x,y),z) * (z * x) = z * T(x,y). [para(5334(a,1),6095(a,1,1))]. 6135 T(x * T(y,z),K(y,z)) = K(y,z) * (x * y). [para(5158(a,1),6122(a,1,2)),flip(a)]. 6136 K(x,y) * (K(z,x) * (u * K(y,x))) = K(z,x) * T(u,K(x,y)). [para(6122(a,1),5830(a,2,2))]. 6140 R(x,y,K(x,z)) = x. [hyper(376,a,6126,a)]. 6141 K(x,(x \ y) \ z) = K(x,y \ (x * z)). [hyper(20,a,5926,a,b,6126,a)]. 6142 K(x,(x \ 1) \ y) = K(x,x * y). [hyper(20,a,5945,a(flip),b,6126,a)]. 6143 (x * y) * z != x * (y * K(x,u)) | K(x,u) = z. [para(6126(a,1),22(a,1)),flip(a)]. 6144 (x * (y * K(x,z))) * x = (x * y) * T(x,z). [para(6126(a,1),5132(a,1,1))]. 6145 R(T(x,y),z,K(x,u)) = T(x,y). [para(6140(a,1),45(a,2,1))]. 6146 R(R(x,y,z),u,K(x,w)) = R(x,y,z). [para(6140(a,1),49(a,1,1)),flip(a)]. 6147 (L(x,y,z) * u) * K(x,w) = L(x,y,z) * (u * K(x,w)). [para(6140(a,1),381(a,1,1,1)),flip(a)]. 6148 (R(x,y,z) * u) * K(x,w) = R(x,y,z) * (u * K(x,w)). [para(6140(a,1),382(a,1,1,1)),flip(a)]. 6149 R(x * y,K(x,z),K(y * K(x,z),x)) \ ((y * K(x,z)) * R(x,y,K(x,z))) = K(x,z) * K(y * K(x,z),R(x,y,K(x,z))). [para(6140(a,1),1782(a,1,1,3,2))]. 6150 R(x,y,K(T(x,z),u)) = x. [para(5380(a,2),6140(a,1,3))]. 6151 (x * y) * K(T(x,z),u) = x * (y * K(T(x,z),u)). [para(6150(a,1),110(a,1,1)),flip(a)]. 6153 T(x,y * K(x,z)) = T(x,y). [hyper(189,a,5239,a(flip),b,6145,a(flip))]. 6156 K(x,y * K(x,z)) = x \ T(x,y). [hyper(75,a,6153,a(flip),b,4396,a(flip)),flip(a)]. 6159 T(x,y * K(z,x)) = T(x,y). [para(3919(a,1),6153(a,1,2)),flip(a)]. 6161 T(x,K(x,y) * z) = T(x,z). [para(5345(a,1),6153(a,1,2))]. 6162 T(x,K(y,x) * z) = T(x,z). [para(5348(a,1),6153(a,1,2)),flip(a)]. 6164 T(x,y * (z * x)) = T(x,y * (x * z)). [para(5943(a,1),6153(a,1,2)),flip(a)]. 6165 K((x * K(y,z)) \ u,T(y,x)) = K(u / (x * K(y,z)),y). [para(6153(a,1),6033(a,1,2))]. 6166 T(x,y \ T(z,x)) = T(x,y \ z). [para(1077(a,1),6159(a,1,2))]. 6167 T((x \ y) * x,z * K(u,y)) = (x \ T(y,z)) * x. [para(6159(a,1),4153(a,2,1,2))]. 6168 T(x,T(y,x) * z) = T(x,y * z). [para(4754(a,1),6159(a,1,2))]. 6169 K(T(x,y),(y * K(z,x)) \ u) = K(x,u / (y * K(z,x))). [para(6159(a,1),6041(a,1,1))]. 6170 T(x,T(x,y) * z) = T(x,x * z). [para(4407(a,1),6161(a,1,2))]. 6172 T(x,y) * K(z,T(x,K(x,u) * y)) = T(x * K(z,x),K(x,u) * y). [para(6161(a,1),4653(a,1,1))]. 6173 L(x,y \ (K(z,y) * u),T(y,u)) = L(x,y \ (K(z,y) * u),y). [para(6162(a,1),4006(a,1,3))]. 6174 K(x,y * K(x,z)) = K(x,y). [hyper(189,a,4360,a,b,6156,a)]. 6175 K(x,y * K(x,z)) != u | K(x,y) = u. [para(6156(a,2),4413(a,1))]. 6176 K(x,y / K(z,x)) = K(x,y). [para(3890(a,2),6174(a,1,2))]. 6177 K(x,y * K(z,x)) = K(x,y). [para(3919(a,1),6174(a,1,2)),flip(a)]. 6178 K(x,y * T(z,x)) = K(x,y * z). [para(5158(a,1),6174(a,1,2)),flip(a)]. 6179 K(x,K(x,y) * z) = K(x,z). [para(5345(a,1),6174(a,1,2))]. 6180 x \ R(x,y * K(x,z),x) = K(x,y) * K(y * T(x,z),x). [para(6174(a,1),5149(a,1,1)),flip(a)]. 6182 K(x,y \ K(z,x)) = K(x,y \ 1). [hyper(189,a,4777,a(flip),b,6176,a(flip))]. 6183 K(x * K(y,z),z) = 1 / K(z,x). [para(6177(a,1),3875(a,1,2)),flip(a)]. 6184 R(K(x,y),(y * K(z,x)) * u,w) = K(x,R(y * K(z,x),u,w)). [para(6177(a,1),5683(a,1,1))]. 6185 T(K(x,y) * z,K(x,z)) = K(x,y) * z. [para(6179(a,1),2753(a,1,2))]. 6186 K(x,T(x,y) \ z) = K(x,x \ z). [para(4541(a,1),6179(a,1,2)),flip(a)]. 6187 K(x,K(K(x,y) * z,u)) = K(K(x,z),u). [para(6179(a,1),5954(a,1,1)),flip(a)]. 6188 T(x,y \ (z / x)) = T(x,y \ (x \ z)). [para(115(a,1),6166(a,1,2,2)),flip(a)]. 6190 (T(x,y) * z) \ ((x * y) * z) = R(T(y,x * z),T(x,y),z). [para(6168(a,1),734(a,1,1)),flip(a)]. 6191 K((T(x,y) * z) \ u,T(x,x * z)) = K(u / (T(x,y) * z),x). [para(6170(a,1),6033(a,1,2))]. 6192 (x * (y \ T(y * T(z,y),y))) \ (x * T(z,y)) = L(K(y,y * z),T(z,y),x). [para(6178(a,1),5923(a,2,1))]. 6193 K(x * K(y,z),z) = K(x,z). [hyper(189,a,3875,a(flip),b,6183,a)]. 6194 K(x * K(y,z),z) != u | K(x,z) = u. [para(6183(a,2),3880(a,1))]. 6195 K(x * T(y,z),z) = K(x * y,z). [para(1078(a,1),6193(a,1,1))]. 6197 K(x * K(y,z),y) = K(x,y). [para(3919(a,1),6193(a,1,1)),flip(a)]. 6199 K(x * T(y,z),y) = K(x * y,y). [para(5158(a,1),6193(a,1,1)),flip(a)]. 6200 K(x * K(y,T(z,u)),z) = K(x,z). [para(5337(a,1),6193(a,1,1,2))]. 6201 K(K(x,y) * z,x) = K(z,x). [para(5365(a,1),6193(a,1,1)),flip(a)]. 6202 K(K(x,y) \ z,x) = K(z,x). [para(5369(a,1),6193(a,1,1))]. 6203 K(K(x,y) * z,y) = K(z,y). [para(5370(a,1),6193(a,1,1))]. 6207 K(x * L(K(y,z),u,w),y) = K(x,y). [para(5886(a,1),6197(a,1,1,2))]. 6209 K(T(x,y) \ z,x) = K(x \ z,x). [para(4541(a,1),6201(a,1,1)),flip(a)]. 6211 K(R(K(x,y),z,u) * w,x) = K(w,x). [para(5668(a,1),6201(a,1,1,1))]. 6212 L(K(x,y),K(y,z) * x,u) = K(K(y,z) * x,y). [para(6201(a,1),5897(a,1,1))]. 6213 K(K(x,y) * z,x) != u | K(z,x) = u. [para(6202(a,1),4566(a,1))]. 6214 K(K(x,y) * z,T(y,u)) = K(z,T(y,u)). [para(5396(a,1),6203(a,1,1,1))]. 6215 K(x / y,(x / y) \ z) = K(x / y,(y \ x) \ z). [para(115(a,1),6186(a,1,2,1)),flip(a)]. 6217 K(x * K(y / z,u),y) = K(x * K(z \ y,u),y). [para(5210(a,1),6195(a,1,1,2)),flip(a)]. 6218 T(T(x * K(y * T(x,z),x),u),y) = R(T(x,u),y,x). [para(6199(a,2),4910(a,1,1,1,2))]. 6219 K(T(x,T(y,z)) * u,y) = K(x * u,y). [para(4754(a,1),6200(a,1,1))]. 6220 x * K(T(y,z) \ x,y) = (y \ x) * y. [para(6209(a,2),213(a,1,2))]. 6221 T(x * K(x \ y,x),z) \ y = y / T(x,z). [para(6209(a,1),4795(a,1,1,1,2))]. 6225 K(x,K(x,y) * z) != u | K(x,z) = u. [para(5345(a,1),6175(a,1,2))]. 6226 K(x,y / (x \ z)) != u | K(x,y / (z / x)) = u. [para(5447(a,1),6175(a,1,2))]. 6227 K(x \ T(y,z),z) != u | K(x \ y,z) = u. [para(1077(a,1),6194(a,1,1))]. 6230 K(x * (y * K(z,u)),z) = K(x * y,z). [para(102(a,1),6207(a,1,1))]. 6231 K(x * (y * K(z,u)),u) = K(x * y,u). [para(5921(a,1),6207(a,1,1)),flip(a)]. 6232 K((K(x,y) * z) * u,x) = K(z * u,x). [para(110(a,1),6211(a,1,1))]. 6233 K(R(K(x,y),z,u) * w,T(x,v5)) = K(w,T(x,v5)). [para(6027(a,1),6211(a,1,1,1,1))]. 6235 K((x \ y) \ z,x) != u | K((y / x) \ z,x) = u. [para(4707(a,1),6213(a,1,1))]. 6236 K(x,(x \ y) \ z) != u | K(x,(y / x) \ z) = u. [para(4707(a,1),6225(a,1,2))]. 6237 ((x / y) * T(y,z)) / (y \ x) = T(y,T(z,x / y)). [para(115(a,1),6133(a,1,2))]. 6238 (x * ((y \ z) \ z)) / T(x,y) = T(y,T(y \ z,x)). [para(114(a,1),6133(a,1,1,2))]. 6239 T(x,K(y,z)) * T(y,z) = K(y,z) * (x * y). [hyper(4008,a,6134,a),flip(a)]. 6240 L(K(x,y \ (x * (z \ u))),z \ u,z) = K(x,(z * (x \ y)) \ u). [para(6141(a,1),5914(a,1,1))]. 6241 K(x,K(K(x,y) * z,u)) = K(x,K(z,u)). [hyper(189,a,5954,a(flip),b,6187,a)]. 6242 K(T(x,y) \ K(z,x),T(x,y)) = K(T(x,y) \ 1,T(x,y)). [hyper(189,a,4257,a(flip),b,6214,a(flip)),flip(a)]. 6243 K(T(x,y) * z,T(x,u)) = K(x * z,T(x,u)). [para(4383(a,1),6214(a,1,1)),flip(a)]. 6244 K(T(x,y) \ z,T(y,u)) = K(x \ z,T(y,u)). [para(4541(a,1),6214(a,1,1)),flip(a)]. 6245 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(6219(a,1),4654(a,1,1,2))]. 6246 T(x,y) * T(T(x,y) \ z,x) = (x \ z) * x. [hyper(5174,a,6220,a)]. 6247 K(x * (K(y,z) * u),y) = K(x * u,y). [para(5345(a,1),6230(a,1,1,2))]. 6248 K(x * (y \ T(z,u)),u) = K(x * (y \ z),u). [para(1077(a,1),6231(a,1,1,2))]. 6250 K((x / (x / y)) * z,y) = K(y * z,y). [para(4345(a,1),6232(a,1,1,1)),flip(a)]. 6251 K(K(x,y) * z,K(x,u)) = K(x,K(z,u)). [hyper(5967,a,6241,a)]. 6252 K(L(x,y,z),u * (K(x,w) * v5)) = L(x,y,z) / L(x * K(u * v5,x),y,z). [para(6247(a,1),4739(a,1,2,1,2)),flip(a)]. 6253 K(x * (K(y,z) * u),R(y,w,v5)) = R(y,w,v5) \ R(y * K(x * u,y),w,v5). [para(6247(a,1),4741(a,1,2,1,2)),flip(a)]. 6255 K(K(x,y) * z,K(x,u)) = K(z,K(x,u)). [hyper(189,a,5966,a,b,6251,a)]. 6256 K(K(x,y) * z,K(y,u)) = K(z,K(y,u)). [para(3887(a,1),6255(a,1,1)),flip(a)]. 6257 R(x,K(y,z) * u,K(u,K(y,w))) = x. [para(6255(a,1),5156(a,1,3))]. 6259 K(x * K(y,z),K(y,u)) = K(x,K(y,u)). [para(6024(a,1),6255(a,1,1))]. 6260 (x * (K(y,z) * u)) * K(u,K(y,z)) = x * (u * K(y,z)). [para(6257(a,1),384(a,1,1)),flip(a)]. 6261 K(x,K(y,K(z,x) * u)) = K(u,K(x,y)). [hyper(6009,a,6256,a)]. 6262 K(K(x,y) * (K(y,z) * u),K(y,w)) = K(y,K(u,w)). [hyper(189,a,6251,a(flip),b,6256,a)]. 6263 K(x,K(y,K(z,x) * u)) = K(x,K(y,u)). [hyper(189,a,5969,a,b,6261,a)]. 6264 K(x,K(y,T(x,z) * u)) = K(x,K(y,x * u)). [para(4383(a,1),6263(a,1,2,2)),flip(a)]. 6266 K(x,K(x \ y,z)) != u | K(x,K(y,z)) = u. [para(5969(a,2),6011(a,1))]. 6267 K(x * K(y,x),z) != u | K(x,T(z,y)) = u. [para(4375(a,1),6038(a,1,1))]. 6268 K(T(x * K(y,x),z),u) != w | K(T(x,z),T(u,y)) = w. [para(4424(a,2),6038(a,1,1))]. 6270 ((x * ((y * z) / y)) / x) / ((x * z) / x) = K(T(y,x),z). [hyper(6081,a,4510,a(flip)),flip(a)]. 6271 K(x,y * K(z,y)) != u | K(T(x,z),y) = u. [para(4375(a,1),6081(a,1,2))]. 6272 K(x,T(y,z)) != u | K(z / (z / x),y) = u. [para(69(a,1),6100(a,1,1))]. 6273 K(x \ (K(y,z) * u),T(y,u)) != w | K((K(y,z) * u) / x,y) = w. [para(6161(a,1),6100(a,1,2))]. 6275 K(T(x,y \ 1),(1 / y) \ z) != u | K(x,z / (1 / y)) = u. [para(2672(a,1),6111(a,1,1))]. 6276 K(T(x,y),(x \ y) \ z) != u | K(x,z / (x \ y)) = u. [para(5381(a,1),6111(a,1))]. 6277 K(x,T(y \ z,z)) != u | K(x,z / y) = u. [para(5380(a,1),6113(a,1))]. 6278 K(x \ (y \ (z * y)),y) != u | K(x \ z,y) = u. [para(35(a,1),6227(a,1,1,2))]. 6280 K(x,K(y,z)) * (z / K(x,y)) = K(y,x) * z. [para(3890(a,2),5980(a,1,2))]. 6281 K(x,K(y,z)) * (T(z,y) * K(x \ y,x)) = K(x \ y,x) * T(z,y). [para(6004(a,1),5980(a,1,1))]. 6282 K(x,K(y,z)) * (T(z,y) * u) = T(T(z,y),K(x,y)) * u. [para(3874(a,1),5985(a,1,1,2))]. 6284 T(x,K(y,z * x)) = T(x,K(y,x * z)). [hyper(5972,a,5997,a),flip(a)]. 6285 T(x,K(y,x * z)) * K(y,z * x) = K(y,z * x) * x. [para(6284(a,1),6056(a,1,1))]. 6286 K(x,R(y * K(z,y),u,w)) = K(x,R(T(y,z),u,w)). [para(4374(a,1),6037(a,1,2,1,1)),flip(a)]. 6287 L(K(T(x,y),T(z,y)),u,w) = K(L(x,u / T(x,y),w),z). [hyper(189,a,5540,a(flip),b,6040,a(flip)),flip(a)]. 6288 K(T(x,L(x,y,z) * u),T(w,u)) = K(L(x,u,L(x,y,z)),w). [para(1293(a,1),6040(a,1,1))]. 6289 K(T(x,T(y,z)),z) = K(T(x,y),z). [hyper(6081,a,6042,a)]. 6290 K(R(T(x,T(y,z)),u,w),z) = K(T(R(x,u,w),y),z). [para(45(a,2),6289(a,1,1))]. 6291 T((x * (y * K(T(z,u),y))) / x,u) = (x * (K(z,y) * T(y,u))) / x. [para(6049(a,1),330(a,1,1,2)),flip(a)]. 6292 K(K(x,y) * T(y,z),T(u,z)) = K(y * K(T(x,z),y),u). [para(6049(a,1),6027(a,1,1))]. 6293 T((x * K(y,x)) * K(T(T(z,u),y),x),u) = K(z,x * K(y,x)) * T(x * K(y,x),u). [para(6047(a,1),6049(a,1,1,2))]. 6294 K(x \ (y * z),T(y,z)) != u | K((x / z) \ y,y) = u. [para(6064(a,2),5764(a,1))]. 6295 K(T(x * K(y \ x,x),x),z) = K(x,T(z,T(y,x) \ x)). [para(5635(a,1),6074(a,1,1))]. 6296 T(x * y,y) / (T(x * y,y) / x) = x * K(y,T(x,x * y)). [para(6075(a,1),4318(a,2,2))]. 6297 K(T(x,y * z),z) = K(T(x,z * y),z). [hyper(6271,a,6089,a)]. 6298 K(R(T(x,y * z),u,w),z) = K(T(R(x,u,w),z * y),z). [para(45(a,2),6297(a,1,1))]. 6299 R(K(x,T(T(y,z),z * u)),z,u) = K(((z / x) * u) \ (z * u),y). [para(6099(a,1),5759(a,1,1))]. 6300 T(K(x,y \ 1),z) = K(x,y \ K(y,z)). [para(4497(a,1),6114(a,1,2)),flip(a)]. 6301 x * T(T(y,z),T(x,z)) = T(y,T(z,x)) * x. [para(6032(a,2),6132(a,1,2))]. 6302 K(K(x,y) * (z * x),u) != w | K(z * T(x,y),T(u,K(x,y))) = w. [para(6135(a,1),5488(a,1,1))]. 6303 (x * (y * T(x,z))) \ ((x * y) * T(x,z)) = a(x,y * K(x,z),x). [para(6144(a,1),5142(a,1,2))]. 6304 T(x / (x / y),z) \ x = x / T(y,z). [para(4318(a,2),6221(a,1,1,1))]. 6305 x / T(y \ x,z) = T(x / y,z) \ x. [para(4331(a,1),6221(a,1,1,1)),flip(a)]. 6307 x / (x / T(y,z)) = T(x / (x / y),z). [para(6304(a,1),67(a,1,2))]. 6308 T(x,y) / T(z * (x / z),u) = T(z * (x / z),u) \ T(x,y). [para(5665(a,1),6304(a,1,1,1)),flip(a)]. 6309 (T(x / y,z) \ x) \ x = T(y \ x,z). [para(6305(a,1),69(a,1,1))]. 6313 K(T(x / (x / y),z),u) != w | K(T(y,z),T(u,x)) = w. [para(6307(a,1),6067(a,1,1))]. 6314 (T(x,y) \ z) \ z = T((x \ z) \ z,y). [para(67(a,1),6309(a,1,1,1,1))]. 6316 T(T(x,y),x \ z) = (T(x,y) \ z) \ z. [hyper(189,a,221,a,b,6314,a),flip(a)]. 6318 K(T(T(x,y),x \ 1),z) != u | K(T(x,y),z) = u. [para(6316(a,2),2659(a,1,1))]. 6319 T(T(x,K(y,z)),T(y,z)) = T(x,y). [hyper(147,a,6239,a,b,4542,a(flip))]. 6321 T(T(x,K(y,z)),y) = T(x,T(y,z)). [para(6117(a,1),6319(a,1,1)),flip(a)]. 6322 T(x * K(y,x),T(y,z)) = T(x,K(y,z)). [hyper(4486,a,6321,a),flip(a)]. 6323 T(T(x,y),K(y,z)) = T(x,T(y,z)). [hyper(333,a,6321,a)]. 6325 T(x * K(y,x),T(y,z)) != u | T(x,K(y,z)) = u. [para(6321(a,1),4486(a,1))]. 6326 T(T(x,y),K(z,y)) = T(x,T(y,z)). [hyper(6121,a,6323,a)]. 6327 K(x,T(y,T(z,x))) = K(x,T(y,z)). [para(6323(a,1),5342(a,1,2))]. 6328 T(x,T(y,T(z,x))) = T(x,T(y,z)). [para(6323(a,1),5378(a,1,2))]. 6329 T(x,T(y,z / x)) = T(x,T(y,x \ z)). [para(115(a,1),6328(a,1,2,2)),flip(a)]. 6330 T(T(x,K(y,z)),y) != u | T(x,T(y,z)) = u. [para(6322(a,1),4486(a,1,1))]. 6331 T(T(x,y),K(y,z)) != u | T(x,T(y,z)) = u. [para(41(a,1),6330(a,1))]. 6332 K(T(x,y) \ z,T(y,x)) != u | K(z / x,y) = u. [para(6244(a,2),6102(a,1))]. 6333 (x \ (y * T(x,z))) * x = T(y,x) * T(x,z). [hyper(571,a,6246,a),flip(a)]. 6334 K(x,K(y,T(x,z) * u)) = K(x,K(y,u)). [hyper(189,a,5998,a(flip),b,6264,a)]. 6335 K(x,K(y,z)) * (T(x,u) * z) = T(T(x,u) * z,K(x,y)). [para(6334(a,1),5984(a,1,1))]. 6336 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(4923(a,1),6280(a,1,1,2))]. 6337 T(x * K(y,x),T(y,z)) * z = z * T(x,T(z,y)). [para(4374(a,1),6301(a,1,2,1)),flip(a)]. 6338 K(x,y) * T(K(x,y) \ z,y) = T(z,y). [hyper(5104,a,6333,a)]. 6339 x \ (y * T(x,z)) = T(y,x) * K(x,z). [hyper(21,a,5132,a,b,6333,a)]. 6341 K(x,y) * (z * T(z \ (K(x,y) \ u),y)) = T(u / z,y) * z. [para(6338(a,1),1160(a,1,1)),flip(a)]. 6342 T(K(x,y) * z,x) = K(x,y) * T(z,x). [para(6338(a,1),4968(a,1,2)),flip(a)]. 6344 T(x * K(y,z),y) = T(x,y) * K(y,z). [hyper(5145,a,6339,a)]. 6345 T(K(x,y) * (K(x,y) \ ((z \ 1) \ K(x,y))),x) = K(z,x) * ((z \ 1) \ K(x,y)). [hyper(189,a,4401,a,b,6342,a)]. 6346 x \ T(K(y,z) * (K(y,z) \ (x * u)),y) = (x \ K(y,z)) * T((x \ K(y,z)) \ u,y). [hyper(75,a,6342,a,b,826,a)]. 6348 T(K(x,y) * T(z,u),x) = K(x,y) * T(T(z,x),u). [para(41(a,1),6342(a,2,2))]. 6349 T(K(x,y) * K(z,u),x) != w | K(x,y) * K(z,T(u,x)) = w. [para(6342(a,2),5501(a,1))]. 6351 (T(x,y) / y) * T(y,z) = T(x * K(y,z),y). [hyper(189,a,5140,a,b,6344,a),flip(a)]. 6352 x \ T(x * K(y,z),y) = K(x,y) * K(y,z). [hyper(75,a,6344,a,b,4376,a)]. 6354 T((1 / ((x * y) \ x)) * K(y,z),y) = ((1 / ((x * y) \ x)) / y) * T(y,z). [para(5600(a,1),6351(a,1,1,1)),flip(a)]. 6355 x \ T(y * (x / y),y) = K(x,y) * K(y,y \ x). [para(3903(a,1),6352(a,1,2,1))]. 6356 T(K(x * y,x) * z,K(x,y)) = z * K(x * y,x). [hyper(6123,a,6018,a),flip(a)]. 6357 K(L(x,K(y,z),u),y) = K(K(y,z) * x,y). [hyper(189,a,5541,a(flip),b,6212,a(flip)),flip(a)]. 6358 K(L(x,K(y,z),u),y) = K(x,y). [hyper(189,a,6201,a(flip),b,6357,a)]. 6360 K((x * K(y,z)) \ u,y) = K(K(y,z) \ (x \ u),y). [para(183(a,1),6358(a,1,1))]. 6361 K(K(R(x,y,z),u) * w,T(x,v5)) = K(w,T(x,v5)). [para(5746(a,1),6233(a,1,1,1))]. 6362 K(x,(y / x) \ z) = K(x,y \ (x * z)). [hyper(6236,a,6141,a)]. 6363 K(x \ (y \ (z * y)),y) = K(x \ z,y). [hyper(6278,a,xx),flip(a)]. 6364 R((K(x,K(y,(y * x) * z)) * u) / (K(x,y) \ u),y * x,z) = ((y * x) * z) \ ((x * y) * z). [para(5962(a,2),4457(a,1,1))]. 6365 (x * K(y,z)) * T(K(z,y),u) = x * K(z,K(y,u)). [para(3919(a,1),5964(a,1,1)),flip(a)]. 6366 T(x,K(y,z)) * K(x \ y,x) = x * T(K(x \ y,x),z). [para(6002(a,1),4545(a,1,2)),flip(a)]. 6367 K(x * y,x) * K(x,K(y,z)) = K(x * y,T(x,z)). [hyper(1962,a,6014,a)]. 6368 L(T(K(x,y),z * (u * K(y,x))),u,z) = (z * u) / (z * (u * K(y,x))). [hyper(76,a,5921,a(flip),b,6054,a),flip(a)]. 6369 T(T(x,L(K(y,z),u,w)),L(K(y,z),u,w)) = x. [hyper(4023,a,6055,a)]. 6370 x * K(L(K(y,z),u,w),x) != v5 | T(x,L(K(y,z),u,w)) = v5. [para(6369(a,1),4486(a,1))]. 6371 K(x * y,y * K(y \ 1,x)) = K(y \ 1,x). [hyper(189,a,5343,a(flip),b,6057,a)]. 6372 K((x / y) \ 1,x * K(z,u)) = K(x \ y,K(z,u) * x). [hyper(189,a,4760,a,b,6070,a(flip)),flip(a)]. 6373 K(x,y) * T(y,T(z,x)) = T((x * y) / x,z). [hyper(5312,a,6076,a)]. 6374 K(x,y) * T((y * x) / y,z) = T(x,T(z,y)). [hyper(3907,a,6373,a)]. 6375 K(x,y) * T(x * K(y,x),z) = T(x,T(z,y)). [para(4375(a,1),6374(a,1,2,1))]. 6376 K(x,y) \ T(x,T(z,y)) = T(x * K(y,x),z). [hyper(80,a,6375,a)]. 6377 T(x,T((y * z) \ y,u)) = K(x,u) * T(x * K(u,x),z \ 1). [para(5472(a,1),6375(a,1,2)),flip(a)]. 6378 K(x,y) * T(x * K(y,x),z) != u | T(x,T(z,y)) = u. [para(6376(a,1),203(a,1,2)),flip(b)]. 6379 K(R(x / (x / y),z,u),w) = K(R(y,z,u),T(w,y \ x)). [para(4318(a,2),6077(a,1,1,1))]. 6380 K(R(x,y,z),T(u * w,w) / T(u,w)) = K(R(T(x,T(u,w)),y,z),R(w,u,w)). [para(3761(a,1),6080(a,1,2)),flip(a)]. 6381 K(T(x,y * K(z,y)),u) = u / T(u,x * K(T(x,z),y)). [para(6090(a,1),4356(a,2,2))]. 6382 K(x * K(y,z),(x / u) \ 1) = K(K(y,z) * x,x \ u). [hyper(21,a,4856,a,b,6097,a),flip(a)]. 6383 K(T(x,y),(x \ z) \ u) = K(T(x,y),z \ (x * u)). [hyper(20,a,5926,a,b,6151,a)]. 6384 T((x \ y) * x,z * K(u,y)) = T((x \ y) * x,z). [hyper(189,a,4153,a,b,6167,a)]. 6385 x * K(y / z,(z \ y) \ x) = (y / z) * (x / (y / z)). [para(6215(a,1),3903(a,1,2))]. 6386 x * (K(x / y,z) * K(x * K(y \ x,z),x)) = T(x * K(x / y,z),x). [para(6217(a,1),5248(a,1,2,2))]. 6387 (x * K(y,z)) / (y \ x) = T(y,T(z,x / y)). [para(5140(a,1),6237(a,1,1))]. 6388 T(x,T(y,z / x)) = T(x,T(y,z)). [hyper(6062,a,6387,a),flip(a)]. 6389 T(x,T(y,x \ z)) = T(x,T(y,z)). [hyper(189,a,6329,a(flip),b,6388,a(flip)),flip(a)]. 6390 T(x,T(y,z * x)) = T(x,T(y,z)). [para(18(a,1),6388(a,1,2,2)),flip(a)]. 6391 T(x \ y,T(z,y)) = T(x \ y,T(z,x)). [para(67(a,1),6388(a,1,2,2)),flip(a)]. 6392 T(x * y,T(z,y \ 1)) = T(x * y,T(z,x)). [para(5472(a,1),6389(a,1,2))]. 6393 T(x,T(y / (z * x),z)) = T(x,(z * x) \ y). [para(115(a,1),6390(a,1,2)),flip(a)]. 6394 T(x / y,T(x,y)) = T(x / y,x). [para(3780(a,1),6390(a,1,2)),flip(a)]. 6395 T(x * K(y,x),T(y * x,y)) = T((y * x) / y,y * x). [hyper(4893,a,6394,a)]. 6396 T(x \ y,T(y,x)) = T(x \ y,y). [para(112(a,1),6391(a,1,2)),flip(a)]. 6397 R(x \ y,z,u) \ R(T(x \ y,y),z,u) = K(R(x \ y,z,u),T(y,x)). [para(6396(a,1),4398(a,1,2,1))]. 6398 K(((x * y) \ (z * y)) \ 1,T(x,z)) = (x * y) \ ((z * T(z \ x,x)) * y). [para(6396(a,1),4752(a,1,2,1,2)),flip(a)]. 6399 (T(x,T(x \ y,z)) * z) \ (z * ((x \ y) \ y)) = K(z,x). [para(6238(a,1),5164(a,1,1,1))]. 6400 ((x * y) * z) / ((x * T(y,u)) * z) = K(u,R(T(y,x),x,z)). [hyper(189,a,5815,a,b,6286,a(flip)),flip(a)]. 6401 K(R(T(x,T(y,z)),u,w),z) = K(R(T(x,y),u,w),z). [para(45(a,2),6290(a,2,1))]. 6402 T(x * K(y,x),T(y,z)) = T(x * K(z,x),T(z,y)). [hyper(21,a,4423,a,b,6337,a)]. 6403 T(K(x,y) * T(y,z),x) = y * K(T(y,x),z). [hyper(189,a,4562,a(flip),b,6348,a)]. 6404 K(x * K(T(x,y),z),T(u,y)) = K(K(y,x) * T(x,z),u). [para(6403(a,1),6027(a,1,1))]. 6406 K((x * K(y,z)) \ u,y) = K(x \ u,y). [hyper(189,a,6202,a(flip),b,6360,a)]. 6408 K((x * K(y,z)) \ u,z) = K(x \ u,z). [para(3919(a,1),6406(a,1,1,1)),flip(a)]. 6409 K((K(x,y) * z) \ u,y) = K(z \ u,y). [para(5348(a,1),6406(a,1,1,1)),flip(a)]. 6410 K((x * K(y,z)) \ u,T(y,w)) = K(x \ u,T(y,w)). [para(6027(a,1),6406(a,1,1,1,2))]. 6411 K(x,(y * K(z,x)) \ u) = (w * K(y \ u,x)) \ w. [para(6408(a,1),3918(a,1,1,2)),flip(a)]. 6413 K((x * L(K(y,z),u,w)) \ v5,z) = K(x \ v5,z). [para(4829(a,1),6408(a,1,1,1,2))]. 6414 K(T(x,T(y,z)) \ u,y) = K(x \ u,y). [para(5388(a,1),6408(a,1,1,1))]. 6415 K(x \ K(y,z),y) = K(x \ 1,y). [hyper(5469,a,6409,a)]. 6416 K(L(x \ y,x,K(z,u)),u) = K(x \ (K(z,u) * y),u). [para(104(a,2),6409(a,1,1))]. 6417 K(x \ L(K(y,z),u,w),y) = K(x \ 1,y). [para(5886(a,1),6415(a,1,1,2))]. 6418 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(6417(a,1),4738(a,1,1,1,2)),flip(a)]. 6419 K((x * (y * K(z,u))) \ w,z) = K((x * y) \ w,z). [para(5921(a,1),6413(a,1,1,1)),flip(a)]. 6420 T((x \ y) * x,z \ T(u,y)) = T((x \ y) * x,z \ u). [para(1077(a,1),6384(a,1,2))]. 6421 x * T(y * K(z,y),T(z,x)) = T(x,y) * T(y,T(x,z)). [para(6402(a,1),5377(a,1,2))]. 6422 K(x,(y * K(z,x)) \ u) = K(x,y \ u). [hyper(189,a,3918,a(flip),b,6411,a)]. 6423 K(x,(y * K(z,x)) \ u) != w | K(x,y \ u) = w. [para(6411(a,2),3922(a,1))]. 6424 K(x,(K(x,y) * z) \ u) = K(x,z \ u). [para(5365(a,1),6422(a,1,2,1)),flip(a)]. 6425 T(x,(K(x,y) * z) \ u) = x * K(x,z \ u). [para(6424(a,1),4396(a,2,2))]. 6426 T(x,(K(x,y) * z) \ u) = T(x,z \ u). [hyper(189,a,4396,a,b,6425,a)]. 6428 T(x,(K(y,x) * z) \ u) = T(x,z \ u). [para(3887(a,1),6426(a,1,2,1)),flip(a)]. 6430 K(T(x,y),(z * K(u,x)) \ w) != v5 | K(T(x,y),z \ w) = v5. [para(5396(a,1),6423(a,1,2,1,2))]. 6431 K(x,(y * (x \ z)) \ u) != w | K(x,(y * (z / x)) \ u) = w. [para(5453(a,1),6423(a,1,2,1))]. 6432 T(x,(y * (z * K(x,u))) \ w) = 1 / (x \ K((y * z) \ w,x)). [para(6419(a,1),4466(a,2,2,2))]. 6433 L(K(T(x,y),T(z,y)),u,w) = K(x,L(z,u / T(z,y),w)). [hyper(6109,a,5891,a),flip(a)]. 6434 R(T(x,y),z,T(x,u)) = R(T(x,y),z,x). [hyper(189,a,5057,a(flip),b,6218,a(flip)),flip(a)]. 6438 T(T(x,y) * z,T(x,y)) = z * R(T(x,y),z,x). [para(6434(a,1),3668(a,1,2)),flip(a)]. 6439 T(T(T(x,y),z) * T(y,x),T(T(x,y),z)) = T(y,x) * R(T(T(x,y),z),y,x). [para(3794(a,1),6438(a,2,2))]. 6440 K(T(x,y),y \ (x * z)) = K(x,z / (x \ y)). [hyper(6276,a,6383,a),flip(a)]. 6441 K(x,(x * y) / z) = K(x,y / (x \ z)). [hyper(6111,a,6440,a)]. 6442 K(x,y / (x \ z)) = K(x,(z / y) \ x). [hyper(5687,a,6441,a),flip(a)]. 6443 K(x,(x \ y) / (x \ z)) = K(x,y / z). [para(17(a,1),6441(a,1,2,1)),flip(a)]. 6444 K(x,((x * y) / z) \ x) = K(x,z / y). [para(16(a,1),6442(a,1,2,2)),flip(a)]. 6445 K(x,(x \ y) / (z / x)) = K(x,y / z). [hyper(6226,a,6443,a)]. 6446 K(x,((y \ (x * z)) \ (x * z)) \ x) = K(x,T(y \ (x * z),y) / z). [para(3585(a,1),6444(a,1,2,1))]. 6447 K(x,(T((x * y) / z,u) \ (x * y)) \ x) = K(x,T(z \ (x * y),u) / y). [para(6305(a,1),6444(a,1,2,1))]. 6448 K(x,(x \ y) / z) = K(x,y / (z * x)). [para(18(a,1),6445(a,1,2,2))]. 6449 K(T(x,y),z \ (x \ y)) = K(x,y / (z * x)). [hyper(6084,a,6448,a)]. 6450 (x * K(y,z / (u * y))) \ x = K((y \ z) / u,y). [para(6448(a,1),3918(a,1,1,2))]. 6451 K((x \ y) / z,x) != u | K(y / (z * x),x) = u. [para(6450(a,1),3922(a,1))]. 6452 K(T(x,y),T(z,x \ u)) = K(T(x,y),T(z,u)). [hyper(6313,a,6043,a),flip(a)]. 6453 K(T(x,y),T(z,x * u)) = K(T(x,y),T(z,u)). [para(16(a,1),6452(a,1,2,2)),flip(a)]. 6454 L(K(x,K(y,z)),u,w) = K(L(K(x,y),u,w),z). [para(4829(a,1),5959(a,1,1)),flip(a)]. 6455 R(K(x,K(y,z)),u,w) = K(R(K(x,y),u,w),z). [para(4820(a,1),5960(a,1,1)),flip(a)]. 6456 K(R(K(x,y),z,u),w) = K(y,R(K(x,w),z,u)). [para(4820(a,1),5981(a,1,2)),flip(a)]. 6457 R(K(x,K(y,z)),u,w) = K(y,R(K(x,z),u,w)). [hyper(189,a,6455,a,b,6456,a(flip)),flip(a)]. 6458 R(K(x,K(y,z)),u,w) = K(x,R(K(y,z),u,w)). [para(5966(a,1),6457(a,1,1))]. 6459 R(K(x,K(y,z)),y,u) = K(x,K(y,z)). [para(3705(a,1),6458(a,2,2))]. 6460 R(K(x,K(y,z \ 1)),u,w) = K(x,K(y,R(z,u,w) \ 1)). [para(5667(a,1),6458(a,2,2))]. 6461 K(L(K(x,y),z,u),w) = K(y,L(K(x,w),z,u)). [para(4829(a,1),5982(a,1,2)),flip(a)]. 6462 K(T((x \ 1) \ 1,T(y,x)),z \ ((T(x,y) \ 1) * y)) = K((x \ 1) \ 1,((x \ 1) * T(y,x)) / z). [para(5148(a,2),6082(a,1,2,2))]. 6463 L(K(x,y),z,L(x,u,w)) = K(x,y). [hyper(5798,a,6147,a)]. 6464 K(L(x,y,L(x,z,u)),w) = K(x,w). [hyper(189,a,5541,a(flip),b,6463,a(flip)),flip(a)]. 6465 K(L(x,y,x),z) = K(x,z). [para(262(a,1),6464(a,1,1,3))]. 6466 K(R(x,y,x),z) = K(x,z). [para(4028(a,1),6465(a,1,1)),flip(a)]. 6467 K(x,y) * L(x,z,x) = L(T(x,y),z,x). [para(6465(a,1),4446(a,1,1))]. 6468 R(K(x,y),z,x) = K(x,y). [hyper(189,a,5749,a(flip),b,6466,a(flip)),flip(a)]. 6469 K((x \ y) \ T(y,x),z) = K(x,z). [para(3670(a,1),6466(a,1,1))]. 6470 K(x,R(y,z,y)) = 1 / K(y,x). [para(6466(a,1),3875(a,1,2)),flip(a)]. 6471 x * K(R(x,y,x),z) = T(x,z). [para(6466(a,2),4396(a,2,2)),flip(a)]. 6472 K(x,y) * R(x,z,x) = T(R(x,z,x),y). [para(6466(a,1),4403(a,2,1)),flip(a)]. 6474 R(K(x,y),z,x) = K(x,y * K(u,x)). [hyper(189,a,6177,a,b,6468,a)]. 6475 K(x,R(y,z,x)) = K(x,y). [hyper(189,a,5683,a(flip),b,6468,a(flip)),flip(a)]. 6476 (K(x,y) * z) * x = K(x,y) * (z * x). [para(6468(a,1),110(a,1,1)),flip(a)]. 6477 T(x,R(y,z,x)) = x * K(x,y). [para(6475(a,1),4396(a,2,2))]. 6478 (x * (K(y,x) * z)) * y = K(y,x) * ((x * z) * y). [para(6475(a,1),5038(a,1,1)),flip(a)]. 6479 K(x,R(y,z,y)) = K(x,y). [hyper(189,a,3875,a(flip),b,6470,a)]. 6480 K(x,R(y,z,y)) != u | K(x,y) = u. [para(6470(a,2),3880(a,1))]. 6481 K(x,R(T(y,z),u,y)) = K(x,T(y,z)). [para(6434(a,1),6479(a,1,2))]. 6482 T(x,R(y,z,x)) = T(x,y). [hyper(189,a,4396,a,b,6477,a)]. 6485 T(x,T(y / (z * x),z)) = T(x,z \ (y / x)). [para(519(a,1),6482(a,1,2))]. 6490 K(x,y * K(z,x)) != u | K(x,y) = u. [para(6474(a,1),273(a,1)),flip(b)]. 6491 K(x,T(R(y,z,y),u)) = K(x,T(y,u)). [para(45(a,1),6481(a,1,2))]. 6492 K(x,y * T(z,x)) != u | K(x,y * z) = u. [para(1078(a,1),6490(a,1,2))]. 6493 K(x,y \ T(z,x)) != u | K(x,y \ z) = u. [para(1077(a,1),6490(a,1,2))]. 6494 K(x,T(T(y,y * z),u)) = K(x,T(T(y,z),u)). [para(3609(a,1),6491(a,1,2,1)),flip(a)]. 6495 K(x,y) * L(T(y,x),z,y) = L(y,z,y). [hyper(3907,a,6467,a)]. 6496 K(x,y) * R(x,z,x) = R(T(x,y),z,x). [hyper(189,a,45,a,b,6472,a)]. 6497 L(x,y,K(x,z)) = x. [hyper(5798,a,6476,a)]. 6498 (K(x,y) * (z * x)) \ (K(x,y) * z) != u | L(x \ 1,x,K(x,y) * z) = u. [para(6476(a,1),310(a,1,1))]. 6499 K(x \ y,x) * ((z / (x \ y)) * (x \ y)) = T(z / (y / x),K(x,y)) * (x \ y). [para(6017(a,1),6476(a,1,1)),flip(a)]. 6500 L(R(x,y,z),u,K(x,w)) = R(x,y,z). [para(6497(a,1),47(a,1,1)),flip(a)]. 6501 L(L(x,y,z),u,K(x,w)) = L(x,y,z). [para(6497(a,1),48(a,1,1)),flip(a)]. 6502 (K(x,y) * z) * R(x,u,w) = K(x,y) * (z * R(x,u,w)). [para(6497(a,1),351(a,1,2,1))]. 6503 (K(x,y) * z) * L(x,u,w) = K(x,y) * (z * L(x,u,w)). [para(6497(a,1),352(a,1,2,1))]. 6504 L(K(x,y),z,K(x,u)) = K(x,y). [para(6497(a,1),5540(a,1,1)),flip(a)]. 6505 L(K(x,y),z,K(y,u)) = K(x,y). [para(6497(a,1),5891(a,1,2)),flip(a)]. 6506 L(T(K(x,y),z),u,K(x,w)) = T(K(x,y),z). [para(6504(a,1),43(a,2,1))]. 6507 L(R(K(x,y),z,u),w,K(x,v5)) = R(K(x,y),z,u). [para(6504(a,1),47(a,1,1)),flip(a)]. 6508 (K(x,y) * z) * K(x,u) = K(x,y) * (z * K(x,u)). [para(6504(a,1),102(a,1,2))]. 6509 (K(x,y) * z) * K(u,x) = K(x,y) * (z * K(u,x)). [para(6505(a,1),102(a,1,2))]. 6510 (K(x,y) * z) \ (K(x,y) * T(x * z,x)) = R(x,z,x). [hyper(189,a,3671,a,b,6500,a(flip)),flip(a)]. 6511 L(x,y,T(x,z)) = L(x,y,x). [hyper(5107,a,6501,a)]. 6512 L(x,y,K(z,x)) = x. [hyper(4042,a,6501,a)]. 6515 K(x,y) * (T(z,K(x,y)) * y) = (z * K(x,y)) * y. [para(6512(a,1),353(a,1,2)),flip(a)]. 6516 L(K(x,y),z,K(u,y)) = K(x,y). [para(6512(a,1),5891(a,1,2)),flip(a)]. 6518 L(T(x,y),z,T(x,u)) = T(L(x,z,x),y). [para(6511(a,1),43(a,2,1))]. 6520 L(x * K(y,x),z,x * K(y,x)) = L(x * K(y,x),z,x). [para(4374(a,1),6511(a,1,3)),flip(a)]. 6521 K(L(x,y,K(z,u)),u) = K(x,u). [hyper(189,a,5541,a(flip),b,6516,a(flip)),flip(a)]. 6522 (K(x,y) * z) * K(u,y) = K(x,y) * (z * K(u,y)). [para(6516(a,1),102(a,1,2))]. 6523 K(x \ (K(y,z) * u),z) = K(x \ u,z). [hyper(189,a,6416,a(flip),b,6521,a(flip)),flip(a)]. 6524 T(x,L(y,z,K(u,x))) = (K(y,x) / x) \ 1. [para(6521(a,1),4417(a,2,1,1))]. 6525 (x / L(T(y,z),u,y)) * K(y,z) = x / L(y,u,y). [para(6495(a,1),5840(a,1,2)),flip(a)]. 6526 R(x,y,x) * K(x,z) = R(T(x,z),y,x). [hyper(2657,a,6496,a)]. 6527 T(x,y) \ R(T(x,y),z,x) = x \ R(x,z,x). [hyper(75,a,6496,a(flip),b,4377,a)]. 6528 L(T(x,y),z,T(x,u)) = L(T(x,y),z,x). [hyper(189,a,43,a,b,6518,a)]. 6531 K(x \ (K(y,z) * u),y) = K(x \ u,y). [para(3887(a,1),6523(a,1,1,2)),flip(a)]. 6532 K(x \ ((y \ z) * y),y) = K(x \ z,y). [para(4291(a,1),6523(a,1,1,2))]. 6533 K(x \ (y / z),y / z) = K(x \ (z \ y),y / z). [para(4312(a,1),6523(a,1,1,2))]. 6535 K(x \ (y * z),z) = K(x \ (z * y),z). [para(4373(a,1),6523(a,1,1,2))]. 6536 K(x \ (T(y,z) \ u),y) = K(x \ (y \ u),y). [para(4558(a,1),6523(a,1,1,2))]. 6538 R(x,y,x) * (K(x,z) * u) = R(T(x,z),y,x) * u. [para(6526(a,1),3659(a,1,1)),flip(a)]. 6540 K(x \ (T(y,z) * (y \ u)),y) = K(x \ u,y). [para(4377(a,2),6531(a,1,1,2))]. 6541 K(x \ (K(y,z) * u),T(y,w)) = K(x \ u,T(y,w)). [para(6027(a,1),6531(a,1,1,2,1))]. 6542 K((x / y) \ z,T(z,y)) = K(x \ (y * z),z). [hyper(189,a,5617,a,b,6535,a),flip(a)]. 6543 T(K(x,y),K(x,z) * u) = T(K(x,y),u). [hyper(189,a,5036,a(flip),b,6506,a(flip)),flip(a)]. 6545 T(K(x,y),K(z,x) * u) = T(K(x,y),u). [para(3887(a,1),6543(a,1,2)),flip(a)]. 6546 T(K(x,y),z * K(u,x)) = T(K(x,y),z). [para(6052(a,1),6543(a,1,2)),flip(a)]. 6547 T(K(x,y),z * L(K(u,x),w,v5)) = T(K(x,y),z). [para(4829(a,1),6546(a,1,2,2))]. 6548 T(x,L(y,z,K(u,x))) = T(x,y). [hyper(189,a,4417,a,b,6524,a)]. 6549 T(x,(K(y,x) * z) \ (K(y,x) * u)) = T(x,z \ u). [para(104(a,1),6548(a,1,2))]. 6550 T(x,(y * x) \ z) = T(x,y \ (z / x)). [hyper(189,a,6393,a(flip),b,6485,a(flip)),flip(a)]. 6551 T(x,(y * x) \ z) = T(x,y \ (x \ z)). [hyper(189,a,6188,a(flip),b,6550,a)]. 6552 T(x,L(x \ y,x,z)) = T(x,z \ (x \ (z * y))). [para(104(a,2),6551(a,1,2))]. 6553 K(x,T(T(y,z),u * y)) = K(x,T(T(y,u),z)). [para(3511(a,1),6494(a,1,2))]. 6554 K(T(x,y),z \ (T(x,u) * (x \ w))) = T(x * K(z \ w,x),y) \ T(x,y). [para(6540(a,1),4660(a,1,1,1,2)),flip(a)]. 6555 K(x \ ((y \ x) * z),z) = K(y \ z,T(z,y \ x)). [para(67(a,1),6542(a,1,1,1)),flip(a)]. 6556 K(x * y,T(T(x,y),z)) = K(x * y,T(x,z)). [hyper(6104,a,6553,a),flip(a)]. 6557 K(x,T(T(y,z),u * y)) = K(x,T(T(y,z),u)). [para(41(a,1),6553(a,2,2))]. 6558 R(T(x,y),z,x) / T(T(x,z),y) = K(x * z,T(x,y)). [hyper(189,a,4938,a,b,6556,a(flip)),flip(a)]. 6559 K(x,T(T(y,z),u \ 1)) = K(x,T(T(y,z),u \ y)). [para(3692(a,1),6557(a,1,2)),flip(a)]. 6560 T(K(x,y),z * (u * K(w,x))) = T(K(x,y),z * u). [para(102(a,1),6547(a,1,2))]. 6561 T(K(x,y) * z,K(x,u)) = K(x,y) * T(z,K(x,u)). [hyper(147,a,6508,a,b,5829,a)]. 6563 T((K(x,y) * K(z,x)) \ (K(x,y) * (u * K(z,x))),K(x,y)) = R(T(u,K(x,y) * K(z,x)),K(x,y),K(z,x)). [para(6509(a,1),832(a,1,1,2))]. 6564 K(x,y) * (z * K((u * w) / u,x)) = (K(x,y) * z) * K(w,T(x,u)). [para(6034(a,1),6509(a,1,2)),flip(a)]. 6565 T(x * y,K(z,y)) = T(x,K(z,y)) * y. [hyper(5246,a,6515,a)]. 6566 T(x * (y \ z),K(y,y \ z)) = T(x,K(y,z)) * (y \ z). [para(6015(a,1),6565(a,2,1))]. 6567 K(x,y) * (K(z,x) * (u * K(y,x))) = T(K(z,x) * u,K(x,y)). [para(6522(a,1),6122(a,1,2))]. 6568 R(K(x \ (y \ z),z / y),z / y,y) = K(z / (x * y),z / y). [para(6533(a,1),5765(a,1,1))]. 6570 K(x \ (y * z),T(z,u)) = K(x \ (z * y),T(z,u)). [para(4373(a,1),6541(a,1,1,2)),flip(a)]. 6571 K(x \ (T(y,z) \ u),T(y,w)) = K(x \ (y \ u),T(y,w)). [para(4541(a,1),6541(a,1,1,2)),flip(a)]. 6572 T(x,y \ (K(z,x) * u)) = T(x,y \ u). [hyper(189,a,6428,a(flip),b,6549,a(flip)),flip(a)]. 6574 T(x,y \ (z * x)) = T(x,y \ (x * z)). [para(4373(a,1),6572(a,1,2,2))]. 6575 L(x,y,z) \ L(T(x,u \ (x * w)),y,z) = K(L(x,y,z),u \ (w * x)). [para(6574(a,1),4397(a,1,2,1))]. 6576 T(x * K(y,z),K(z,u)) = T(x,K(z,u)) * K(y,z). [hyper(4992,a,6561,a),flip(a)]. 6577 T(K(x,K(y,z)) * u,K(x,w)) = K(z,K(x,y)) * T(u,K(x,w)). [para(5969(a,1),6561(a,2,1))]. 6578 K(x \ (((y \ 1) \ 1) * z),T(z,u)) = K(x \ (z * y),T(z,u)). [hyper(189,a,5567,a(flip),b,6570,a)]. 6579 (K(x,y) * z) \ T(K(x,y) * (x * z),x) = R(x,z,x). [para(6342(a,2),6510(a,1,2))]. 6580 R(T(x,y),z,x) / T(T(x,y),z) = K(x * z,T(x,y)). [para(41(a,1),6558(a,1,2))]. 6581 (K(x,y) * z) \ T(T(x,y) * z,x) = R(x,z,x). [para(4407(a,1),6579(a,1,2,1))]. 6582 R(x,K(x,y) * z,x) = R(x,z,x). [hyper(4546,a,6581,a)]. 6583 R(x \ y,(y / x) \ z,x \ y) = R(x \ y,(x \ y) \ z,x \ y). [para(4308(a,1),6582(a,1,2))]. 6584 K(x * y,T(T(y,z),x)) = K(y * x,T(y,z)). [hyper(189,a,4958,a(flip),b,6580,a(flip)),flip(a)]. 6585 K(x * y,T(T(y,x),z)) = K(y * x,T(y,z)). [para(41(a,1),6584(a,1,2))]. 6586 K(x * (y / (y / z)),T(T(y / (y / z),x),z \ y)) = K((y / (y / z)) * x,z). [para(3573(a,1),6585(a,2,2))]. 6587 L(K(x,y),z,R(x,u,w)) = K(x,y). [hyper(5798,a,6148,a)]. 6588 K(L(x,y,R(x,z,u)),w) = K(x,w). [hyper(189,a,5541,a(flip),b,6587,a(flip)),flip(a)]. 6589 K(x \ y,T(z,x)) = K(y / (x * K(z,u)),z). [hyper(189,a,6410,a(flip),b,6165,a(flip)),flip(a)]. 6590 K(x / (y * K(z,u)),z) = K(x / y,z). [hyper(6102,a,6589,a),flip(a)]. 6592 K(x / (K(y,z) * u),z) = K(x / u,z). [para(5348(a,1),6590(a,1,1,2)),flip(a)]. 6593 T(x,y / (K(z,x) * u)) = 1 / (x \ K(y / u,x)). [para(6592(a,1),4466(a,2,2,2))]. 6594 T(x,y / (K(z,x) * u)) = T(x,y / u). [hyper(189,a,4466,a,b,6593,a)]. 6595 T(x,((y * K(z,x)) * u) / u) = T(x,R(y,K(z,x),u)). [para(33(a,2),6594(a,1,2)),flip(a)]. 6596 T(x,R(y,K(z,x),u)) = T(x,y * K(z,x)). [para(18(a,1),6595(a,1,2)),flip(a)]. 6597 T(x,R(y,K(z,x),u)) = T(x,y). [hyper(189,a,6159,a(flip),b,6596,a)]. 6600 K(x,R(y,K(z,x),u)) = x \ T(x,y). [hyper(75,a,6597,a(flip),b,4396,a(flip)),flip(a)]. 6601 K(x,R(y,K(z,x),u)) = K(x,y). [hyper(189,a,4360,a,b,6600,a)]. 6602 K(x,R(R(y,K(z,x),u),w,v5)) = K(x,R(y,w,v5)). [para(49(a,1),6601(a,1,2))]. 6603 R(K(x,y),(y * K(z,x)) * u,w) = K(x,R(R(y,K(z,x),u),K(z,x) * u,w)). [para(6601(a,1),5684(a,1,1))]. 6604 K(T(x,y) \ K(z,x),T(x,y)) = K(x \ 1,x). [hyper(189,a,2909,a(flip),b,6242,a)]. 6606 (T(x,y) \ K(z,x)) * T(x,y) = K(z,x) * K(x \ 1,x). [para(6604(a,1),213(a,1,2)),flip(a)]. 6607 (x * (K(y,z) * u)) * K(y,K(z,u)) = x * (u * K(y,z)). [para(5969(a,2),6260(a,1,2))]. 6608 ((x * (y * K(z,y))) / x) / ((x * y) / x) = K(T(z,x),y). [para(4375(a,1),6270(a,1,1,1,2))]. 6609 K(x,K(y,z)) * (T(z,y) * u) = T(z,T(y,x)) * u. [para(6326(a,1),6282(a,2,1))]. 6610 K(L(x,y / T(x,z),u),w) = L(K(x,w),y,u). [para(6027(a,1),6287(a,1,1)),flip(a)]. 6611 L(K(x,y),z * K(u,x),w) = L(K(x,y),z,w). [hyper(189,a,5545,a,b,6610,a(flip)),flip(a)]. 6612 L(K(x,y),T(z,x),u) = L(K(x,y),z,u). [hyper(189,a,5542,a(flip),b,6610,a(flip)),flip(a)]. 6613 L(K(x,y),x * z,u) = K(L(x,z,u),y). [para(129(a,1),6610(a,1,1,2)),flip(a)]. 6614 K(L(x,x \ y,z),u) = L(K(x,u),y,z). [para(174(a,1),6610(a,1,1,2))]. 6617 K(L(x,y,z),x * y) = K(x,x * y). [hyper(5327,a,6613,a),flip(a)]. 6618 K(L(x,y,z),(z \ u) \ (x * y)) = K(x,u \ (z * (x * y))). [hyper(189,a,5915,a(flip),b,6613,a(flip))]. 6619 K(L(x,T(x,y) \ 1,z),u) = L(K(x,u),K(y,x),z). [para(4358(a,2),6613(a,1,2)),flip(a)]. 6620 K(L(x,x \ 1,y),z) = K(x,z). [hyper(189,a,262,a(flip),b,6614,a)]. 6621 K(T(x,y),T(z,y)) = K(L(x,T(x,y) \ 1,u),z). [hyper(6108,a,6620,a),flip(a)]. 6623 L(K(x,y),z / K(x,y),u) \ (u * z) = T(u * (z * K(y,x)),L(K(x,y),z,u)). [para(6611(a,1),5823(a,1,2)),flip(a)]. 6624 K(L(x,T(x,y) \ 1,z),u) != w | K(x,u) = w. [para(6621(a,1),6101(a,1))]. 6625 L(K(x,y),K(z,x),u) = K(x,y). [hyper(6624,a,6619,a),flip(a)]. 6626 (x * K(y,z)) * K(z,u) = x * (K(y,z) * K(z,u)). [para(6625(a,1),102(a,1,2))]. 6627 (x * (K(y,z) * K(z,u))) * K(u,z) = x * K(y,z). [hyper(3929,a,6626,a)]. 6628 R(x,K(y,z),K(z,u)) = x. [hyper(376,a,6626,a)]. 6629 (x * K(y,z)) * K(z,u) = x * (K(z,u) * K(y,z)). [para(1959(a,2),6626(a,2,2))]. 6630 R(x,T(K(y,z),u),K(z,w)) = x. [para(1379(a,1),6628(a,1,2))]. 6631 R(x,L(K(y,z),u,w),K(z,v5)) = x. [para(4829(a,1),6628(a,1,2))]. 6632 R(x,T(K(y,z),u),T(K(z,w),v5)) = x. [para(4847(a,1),6630(a,1,3))]. 6633 (x * y) \ ((x * (y * K(z,u))) * K(u,w)) = L(K(z,u),y,x) * K(u,w). [para(6631(a,1),400(a,1,1))]. 6634 T(K(x,y),z) * T(K(y,u),K(x,y) * z) = z \ (K(y,u) * (K(x,y) * z)). [para(6632(a,1),730(a,1,1)),flip(a)]. 6635 x * T(K(y,z),u) != w | w * T(K(z,y),u) = x. [para(6632(a,1),5642(a,1)),flip(a)]. 6636 L(K(x,y),K(z,y),u) = K(x,y). [hyper(5928,a,6627,a)]. 6638 (x * (K(y,z) * K(u,y))) * K(z,y) = x * K(u,y). [para(1959(a,2),6627(a,1,1,2))]. 6639 (x * K(y,z)) * K(u,z) = x * (K(y,z) * K(u,z)). [para(6636(a,1),102(a,1,2))]. 6640 (x * K(y,z)) * (K(z,y) * K(u,y)) = x * K(u,y). [para(6636(a,1),3934(a,1,2)),flip(a)]. 6641 (x / (y * K(z,y))) * R(y * K(z,y),z,L(y,u,w)) = x * (K(y,z) * K(z * L(y,u,w),y)). [hyper(189,a,5864,a,b,6629,a(flip)),flip(a)]. 6642 (x * K(y,z)) * (K(y,u) * K(z,y)) = x * K(y,u). [para(3919(a,1),6629(a,1,1)),flip(a)]. 6643 (x / y) * (K(y,z) * K(u,y)) = (x / T(y,u)) * K(y,z). [para(5178(a,1),6629(a,1,1)),flip(a)]. 6644 (x * (K(y,z) * K(u,y))) * (K(z,y) * K(y,u)) = x. [hyper(21,a,6627,a,b,6638,a(flip)),flip(a)]. 6646 (x * K(y,z)) * K(z,u) != w | x * (K(z,u) * K(y,z)) = w. [para(6638(a,1),3921(a,1,1)),flip(b)]. 6647 (x * K(y,z)) * (K(u,y) * K(z,y)) = x * K(u,y). [para(3963(a,1),6640(a,1,2))]. 6648 (x * K(y,z)) \ (x * K(y,u)) = K(y,u) * K(z,y). [hyper(80,a,6642,a)]. 6649 L((K(x,y) * K(z,x)) \ 1,K(x,y) * K(z,x),u) = K(y,x) * K(x,z). [hyper(308,a,6644,a)]. 6650 x / (K(y,z) * K(z,u)) != w | x * (K(z,y) * K(u,z)) = w. [para(6644(a,1),248(a,1,1)),flip(b)]. 6651 ((x * K(y,z)) * K(u,y)) * K(z,y) = x * K(u,y). [hyper(189,a,6639,a,b,6647,a(flip)),flip(a)]. 6652 (K(x,y) * z) \ (z * K(x,u)) = K(x,u) * K(T(y,z),x). [para(5345(a,1),6648(a,1,1))]. 6653 (x * K(y,z)) * K(u,y) = (x * K(u,y)) * K(y,z). [hyper(3929,a,6651,a),flip(a)]. 6654 (x * K(y,z)) * K(u,y) = x * (K(y,z) * K(u,y)). [hyper(21,a,6638,a,b,6651,a)]. 6655 ((x * K(y,z)) * K(u,y)) * y = (x * K(u,y)) * T(y,z). [para(6651(a,1),5146(a,1,1)),flip(a)]. 6656 R(x,K(y,z),K(u,y)) = x. [hyper(376,a,6654,a)]. 6657 ((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(2539(a,1),6654(a,1,1))]. 6658 K(K(x,y) * T(y,z),T(u,z)) = K(y,T(u,T(x,z))). [hyper(189,a,6046,a(flip),b,6292,a)]. 6659 K(K(x,y) * T(y,z),T(u,z)) != w | K(y,T(u,T(x,z))) = w. [para(6292(a,2),6267(a,1))]. 6660 K(T(x * K(y \ (z * x),x),x),u) = K(x,T(u,T(z \ y,x) \ x)). [para(5535(a,1),6295(a,1,1,1,2))]. 6661 K(R(T(x,y * z),u,w),z) = K(R(T(x,z * y),u,w),z). [para(45(a,2),6298(a,2,1))]. 6662 K(x,K(y,z)) * (T(y,u) * x) = T(T(y,u) * x,K(y,z)). [para(5969(a,1),6335(a,1,1))]. 6663 T(x,K(y,x \ z)) = T(x,K(z,y)). [hyper(21,a,5993,a,b,6366,a),flip(a)]. 6664 T(x,K(y,x \ z)) = T(x,K(y,z)). [hyper(189,a,6118,a,b,6663,a)]. 6665 T(x,K(y,x \ z)) != u | T(x,K(y,z)) = u. [para(6663(a,2),6121(a,1))]. 6666 T(x,K(y,x * z)) = T(x,K(y,z)). [para(16(a,1),6664(a,1,2,2)),flip(a)]. 6667 T(x,K(y,x * z)) = T(x,K(z,y)). [hyper(189,a,6118,a,b,6666,a)]. 6668 T(x,K(y,z)) * K(y,z * x) = K(y,z * x) * x. [para(6666(a,1),6285(a,1,1))]. 6669 T(x,K(y,z * x)) = T(x,K(z,y)). [hyper(189,a,6284,a,b,6667,a(flip)),flip(a)]. 6670 T(T(x,y),K(z,x * u)) = T(T(x,K(u,z)),y). [para(6667(a,1),41(a,1,1)),flip(a)]. 6671 K(x * y,T(y,K(x,z))) = K(x * y,y). [para(6669(a,1),5342(a,1,2))]. 6672 K(x * R(y,z,u),R(T(y,K(x,w)),z,u)) = K(x * R(y,z,u),R(y,z,u)). [para(45(a,2),6671(a,1,2))]. 6673 K(R(x,y / x,z),T(u,x \ y)) = K((y * z) / ((y / x) * z),u). [para(111(a,1),6379(a,1,1)),flip(a)]. 6674 K(T(x,y * K(z,y)),u) = K(x * K(T(x,z),y),u). [hyper(189,a,4356,a,b,6381,a)]. 6675 K(T(x * K(x * y,x),z * K(y * x,z)),u) = K((x * K(x * y,x)) * K(x,z),u). [para(4620(a,1),6674(a,2,1,2,1))]. 6676 K(T(x,y * K(z * x,y)),u) = K(x * K(T(x,z),y),u). [para(5384(a,1),6674(a,2,1,2))]. 6677 K(K(x,y) * z,z \ x) = K(z,z \ T(x,y)). [hyper(189,a,5862,a(flip),b,6382,a(flip))]. 6678 (K(x,y) * z) * K(z,z \ T(x,y)) = T(K(x,y) * z,z \ x). [para(6677(a,1),4396(a,2,2)),flip(a)]. 6679 (((x * (y * x)) / x) / y) * (z / (((x * (y * x)) / x) / y)) = z * K(((x * (y * x)) / x) / y,T(x,y * x) \ z). [para(1473(a,1),6385(a,1,2,2,1)),flip(a)]. 6680 T(x * K(y,x),T(y * x,y)) = L(x,y,x). [hyper(189,a,3597,a(flip),b,6395,a)]. 6681 T(x * K(y,x),T(x * y,y)) = L(x,y,x). [hyper(189,a,5027,a(flip),b,6680,a(flip)),flip(a)]. 6682 K(x,y) * T(x * K(z,x),T(z,y)) = T(x,T(y,z)). [hyper(4586,a,6421,a(flip))]. 6683 x * (T(y,T(z,x)) * K(z,y)) = T(x,y) * T(y,T(x,z)). [para(5354(a,1),6421(a,1,2))]. 6684 K(x,y) * T(x * K(z \ y,x),T(z \ y,y)) = T(x,z * ((y * (z \ y)) / y)). [para(3330(a,2),6682(a,2,2))]. 6685 K(x,y) * T(x,K(z,y)) = T(x,T(y,z)). [para(6322(a,1),6682(a,1,2))]. 6686 K(x,L(y,z / T(y,u),w)) = L(K(x,y),z,w). [para(6027(a,1),6433(a,1,1)),flip(a)]. 6687 L(K(x,y),y * z,u) = K(x,L(y,z,u)). [para(129(a,1),6686(a,1,2,2)),flip(a)]. 6689 K(x * y,L(x,y,z)) = K(x * y,x). [hyper(5898,a,6687,a),flip(a)]. 6690 (x * (y * z)) * K(u,L(y,z,x)) = x * ((y * z) * K(u,y)). [para(6687(a,1),102(a,1,2))]. 6691 R(K(x,y),z,R(x,u,w)) = K(x,y). [hyper(376,a,6502,a)]. 6692 K(x,y) * ((y * x) * R(x,z,u)) = (x * y) * R(x,z,u). [para(4373(a,1),6502(a,1,1)),flip(a)]. 6693 (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(6502(a,1),4544(a,1,1,2))]. 6694 K(R(x,y,R(x,z,u)),w) = K(x,w). [hyper(189,a,5746,a(flip),b,6691,a(flip)),flip(a)]. 6695 K(x,y) * R(x,z,R(x,u,w)) = T(R(x,z,R(x,u,w)),y). [para(6694(a,1),4403(a,2,1)),flip(a)]. 6696 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(6694(a,1),4624(a,1,1,1)),flip(a)]. 6697 R(K(x,y),z,L(x,u,w)) = K(x,y). [hyper(376,a,6503,a)]. 6698 K(R(x,y,L(x,z,u)),w) = K(x,w). [hyper(189,a,5746,a(flip),b,6697,a(flip)),flip(a)]. 6699 K(T(x,y),T(z,y)) = K(R(x,u,L(T(x,y),w,v5)),z). [hyper(6105,a,6698,a),flip(a)]. 6700 K(x,y) * R(x,z,L(x,u,w)) = T(R(x,z,L(x,u,w)),y). [para(6698(a,1),4403(a,2,1)),flip(a)]. 6701 K(R(x,y,L(T(x,z),u,w)),v5) = K(x,v5). [hyper(6101,a,6699,a),flip(a)]. 6703 T(x,R(y,z,L(T(y,u),w,v5))) = (K(y,x) / x) \ 1. [para(6701(a,1),4417(a,2,1,1))]. 6704 T(x,R(y,z,L(T(y,u),w,v5))) = T(x,y). [hyper(189,a,4417,a,b,6703,a)]. 6705 T(x,R(y,z,y)) = T(x,y). [para(5291(a,1),6704(a,1,2,3))]. 6706 R(x,y,x) * T(z,x) = z * R(x,y,x). [para(6705(a,1),113(a,1,2))]. 6707 T(x,T(y,y \ z)) = T(x,T(y,z)). [para(3694(a,1),6705(a,1,2))]. 6708 T(x * K(y \ z,x),T(y \ z,y)) = T(x * K(y,x),T(y,z)). [hyper(189,a,6402,a,b,6707,a(flip)),flip(a)]. 6709 T(x,T(y,z \ 1)) = T(x,T(y,z \ y)). [para(3749(a,1),6707(a,1,2))]. 6710 R(x,y,x) * (x \ z) = (z / x) * R(x,y,x). [para(115(a,1),6706(a,1,2))]. 6712 (R(x,y,x) * (x \ z)) \ (z * R(x,y,x)) = x. [para(6710(a,2),1647(a,1,1))]. 6713 R(x,x \ y,x) * (x \ z) = (z / x) * ((x \ y) \ T(y,x)). [para(3670(a,1),6710(a,2,2))]. 6714 T(L(L(x * K(y,x),y,x),z,u) * y,x * K(y,x)) = L(x * K(y,x),z,u) * T(y,x). [para(6520(a,1),3850(a,1,1,1,1))]. 6715 T(x * (y \ z),K(y,z)) = T(x,K(y,z)) * (y \ z). [hyper(6016,a,6566,a)]. 6716 T(x * (y \ z),K(z,y)) = T(x,K(y,z)) * (y \ z). [hyper(6121,a,6715,a)]. 6717 T(x * (y \ z),K(z,y)) = T(x,K(z,y)) * (y \ z). [para(6118(a,1),6716(a,2,1))]. 6718 (T(x,y) \ K(z,x)) * T(x,y) = (T(x,z) \ 1) * x. [hyper(189,a,4633,a(flip),b,6606,a)]. 6719 T((T(x,y) \ K(z,x)) * T(x,y),T(x,u)) = (T(x,z) \ 1) * x. [hyper(4186,a,6718,a)]. 6720 K(T(x,y),z) * ((y * z) / y) = (y * (z * K(x,z))) / y. [para(6608(a,1),19(a,1,1))]. 6721 K(T(x,y),z) * (z * K(y,z)) = (y * (z * K(x,z))) / y. [para(6608(a,1),4664(a,1,1))]. 6722 (x / y) * (K(y,z) * K(u,y)) = x / (T(y,u) * K(z,y)). [hyper(189,a,5522,a,b,6643,a)]. 6723 (K(x,y) * z) \ (z * K(x,u)) = K(x,u) * K(y,T(x,z)). [hyper(189,a,5390,a(flip),b,6652,a)]. 6724 (x * K(y,z)) * (y * K(u,y)) = (x * K(u,y)) * T(y,z). [hyper(5292,a,6655,a)]. 6725 T(T(x,y) * z,K(x,u)) = T(x,y) * T(z,K(x,u)). [hyper(189,a,5461,a(flip),b,6662,a(flip))]. 6726 T(x,y) * T(z,K(x,y)) = (x * z) * K(x,y). [hyper(4806,a,6725,a),flip(a)]. 6727 T(x * y,K(x,z)) = x * T(y,K(x,z)). [hyper(147,a,6726,a(flip),b,4407,a)]. 6729 K(x,y) * ((y * R(x,z,u)) * x) = (x * y) * R(x,z,u). [para(1643(a,2),6692(a,1,2))]. 6730 K(x,y) * R(x,z,R(x,u,w)) = R(T(x,y),z,R(x,u,w)). [hyper(189,a,45,a,b,6695,a)]. 6731 K(x,y) * R(x,z,L(x,u,w)) != v5 | R(T(x,y),z,L(x,u,w)) = v5. [para(6700(a,2),5484(a,1))]. 6732 ((x * y) / x) / ((x * (y * K(z,y))) / x) = K(y,T(z,x)). [para(6720(a,1),3905(a,1,2))]. 6733 ((x * y) / x) / ((x * (y * K(z,y))) / x) != u | K(y,T(z,x)) = u. [para(6720(a,1),3910(a,1,2))]. 6734 (x * K(y,x)) * K(T(z,y),x) = (y * (x * K(z,x))) / y. [hyper(189,a,3964,a(flip),b,6721,a(flip)),flip(a)]. 6735 (x / y) * (K(y,z) * K(y * z,y)) = x / L(y,z,y). [para(4627(a,1),6722(a,2,2))]. 6736 (K(x,y) * z) \ (K(x,u) * z) = K(x,T(u,z)) * K(y,T(x,z)). [para(5345(a,1),6723(a,1,2))]. 6737 (x * K(y,z)) * (y * K(u,y)) = x * (K(u,y) * T(y,z)). [hyper(189,a,5296,a(flip),b,6724,a)]. 6738 K(x,y) * (x \ R(x,z,R(x,u,w))) = x \ R(T(x,y),z,R(x,u,w)). [hyper(75,a,6730,a(flip),b,4552,a),flip(a)]. 6739 K(x,y) * ((y * R(x,z,R(x,u,w))) * x) = (y * R(T(x,y),z,R(x,u,w))) * x. [para(6730(a,1),6478(a,1,1,2)),flip(a)]. 6740 (x * K(y,z)) * (y * K(u,y)) = x * (T(y,z) * K(u,y)). [para(2759(a,2),6737(a,2,2))]. 6741 L(K(x,T(T(y,z),u * z)),z,u) = (u * (K(x,y) * z)) / (u * z). [para(5345(a,1),6025(a,1,1,2)),flip(a)]. 6742 L(T(x,y),z,u) \ (x * K(L(x,z,u),y)) = L(x,z,u) \ x. [hyper(80,a,6124,a)]. 6744 x \ R(x,y * K(x,z),x) = K(x,y) * K(y * x,x). [para(6199(a,1),6180(a,2,2))]. 6745 x \ R(x,y * K(x,z),x) = x \ R(x,y,x). [hyper(189,a,4696,a(flip),b,6744,a)]. 6747 T(K(T(x,y \ 1),(1 / y) \ 1),z) = K(x,K(1 / y,z) / (1 / y)). [hyper(6275,a,6300,a(flip)),flip(a)]. 6748 K(L(x,y,L(x,z,u)),T(w,L(x,z,u) * y)) = K(x,T(w,y)). [hyper(6107,a,6288,a),flip(a)]. 6749 R(K(x,y),z * y,u) = K(T(x,z),R(T(y,z),z,u)). [hyper(189,a,5676,a(flip),b,6400,a(flip)),flip(a)]. 6750 R(K(x,y),z * y,u) != w | K(x,R(y,z,u)) = w. [para(6749(a,2),6110(a,1))]. 6751 K(R(x,y,z),y) = K(x,R(y,x,z)). [hyper(6750,a,5746,a),flip(a)]. 6752 K(R(x,y,z),y) != u | K(x,R(y,x,z)) = u. [para(5746(a,1),6750(a,1))]. 6753 R(K(x,y),z * (y * K(u,x)),w) != v5 | K(x,R(y * K(u,x),z,w)) = v5. [para(6177(a,1),6750(a,1,1))]. 6754 x * K(R(x,y,z),y) = T(x,R(y,x,z)). [para(6751(a,2),4396(a,2,2)),flip(a)]. 6755 K(T(x,y),y \ z) = K(x,z / (y * K(u,x))). [hyper(6430,a,6169,a)]. 6756 K(x,y / (z * K(u,x))) = K(x,y / z). [hyper(6111,a,6755,a),flip(a)]. 6757 K(x,y / (z * x)) = K(x,y / (x * z)). [para(95(a,1),6756(a,1,2,2))]. 6758 K(x,y / ((z * y) * x)) = K(x,z \ (x \ 1)). [hyper(189,a,5699,a(flip),b,6757,a)]. 6759 K(x,R(y / x,x,z)) = K(x,(y * z) / (z * x)). [para(111(a,2),6757(a,2,2)),flip(a)]. 6760 K(x,y / (((x \ 1) * z) * x)) = K(x,y / L(z,x \ 1,x)). [para(166(a,1),6757(a,2,2,2))]. 6761 K(x,(y / z) \ (x \ 1)) = K(x,z / (y * x)). [para(19(a,1),6758(a,1,2,2,1)),flip(a)]. 6762 K(x,R(x \ y,x,z)) = K(x,(y * z) / (z * x)). [hyper(189,a,3893,a(flip),b,6759,a(flip)),flip(a)]. 6763 K(L(x,y * z,u),(u \ (u * (x * y))) \ (x * (y * z))) = K(x,L(L(z,y,x),x * y,u)). [para(348(a,1),6618(a,2,2))]. 6764 (x * K(y,z)) * K(u,y) != w | x * (K(y,z) * K(u,y)) = w. [para(6653(a,2),6646(a,1))]. 6765 K(x,L(y,z,x)) = K(x,y). [hyper(6143,a,6690,a),flip(a)]. 6767 K(x,L(L(y,z,x),u,w)) = K(x,L(y,u,w)). [para(48(a,1),6765(a,1,2))]. 6768 K(x,(x * y) \ z) = K(x,y \ (x \ z)). [para(183(a,1),6765(a,1,2))]. 6769 T(x,L(y,z,x)) = K(x,y) * x. [para(6765(a,1),4403(a,2,1))]. 6770 K(L(x,y,z),L(u,w,x)) = L(K(x,u),y * x,z). [para(6765(a,1),5541(a,1,1)),flip(a)]. 6771 T(x,L(y,z,x)) = T(x,y). [hyper(189,a,4403,a,b,6769,a)]. 6772 T(x,(x \ y) \ z) = T(x,y \ (x * z)). [para(359(a,1),6771(a,1,2)),flip(a)]. 6773 T(x,L(y \ 1,x * y,z)) = T(x,(z * (x * y)) \ (z * x)). [para(707(a,1),6771(a,1,2)),flip(a)]. 6774 K(x,K(y,y \ x) \ (x \ z)) = K(x,(y * (x / y)) \ z). [para(3903(a,1),6768(a,1,2,1)),flip(a)]. 6775 (x * ((y / z) / x)) * z = y * K(x,z \ (x \ y)). [para(6768(a,1),5451(a,2,2))]. 6776 L(K(x,y \ (x \ 1)),z,u) = K(x,L(x * y,z,u) \ 1). [para(6768(a,1),5885(a,1,1))]. 6777 T(x,(x \ y) \ z) = T(x,y \ (z * x)). [hyper(189,a,6574,a,b,6772,a)]. 6778 K(x,y) * K(x,K(y,z \ (u * y))) = K(x,T(y,(y \ z) \ u)). [para(6777(a,2),6012(a,2,2))]. 6779 K(L(x,y,z),L(u,w,x)) = K(L(x,y,z),u). [hyper(189,a,5541,a(flip),b,6770,a)]. 6780 K(L(x,y,z),(x \ u) \ w) = K(L(x,y,z),u \ (x * w)). [para(359(a,1),6779(a,1,2)),flip(a)]. 6781 x * K(y,z \ (y \ x)) = z * (y * ((z \ x) / y)). [hyper(189,a,4185,a(flip),b,6775,a(flip))]. 6782 x * (y * ((x \ 1) / y)) = K(y,x \ (y \ 1)). [hyper(74,a,4185,a(flip),b,6775,a(flip)),flip(a)]. 6783 (x * y) * (z * (((x * y) \ x) / z)) = x * K(z,y \ (z \ 1)). [para(6782(a,1),5662(a,2,2))]. 6784 x * (y * ((x \ z) / y)) != z * u | K(y,x \ (y \ z)) = u. [para(6781(a,1),22(a,1))]. 6785 (x * (y * ((x \ z) / y))) \ z = K(x \ (y \ z),y). [para(6781(a,1),3918(a,1,1))]. 6786 ((x * (y * z)) * (u * (L(L(z \ 1,z,y),y * z,x) / u))) \ (x * y) = K((x * (y * z)) \ (u \ (x * y)),u). [para(309(a,2),6785(a,1,1,2,2,1))]. 6787 ((x * (y * ((x \ 1) / y))) * L(K(x \ (y \ 1),y),z,u)) * ((x * (y * ((x \ 1) / y))) \ w) = w * L(w \ ((x * (y * ((x \ 1) / y))) \ w),z,u). [para(6785(a,1),1239(a,1,1,2,1))]. 6788 (x * (y * ((x \ 1) / y))) / ((L(x * (y * ((x \ 1) / y)),z,u) \ 1) * (x * (y * ((x \ 1) / y)))) = L(K(x \ (y \ 1),y) \ 1,z,u). [para(6785(a,1),5738(a,2,1,1))]. 6789 K(x,K(y \ x,y) * (x \ z)) = K(x,(y * (x / y)) \ z). [para(3889(a,1),6774(a,1,2))]. 6790 K(1 / x,L((1 / x) * y,z,u) \ 1) = L(K(1 / x,y \ x),z,u). [para(69(a,1),6776(a,1,1,2,2)),flip(a)]. 6791 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(5900(a,2),6780(a,2,2,2)),flip(a)]. 6792 K(x,(y * (x / y)) \ (z * x)) = K(x,K(y \ x,y) * T(z,x)). [para(35(a,2),6789(a,1,2,2)),flip(a)]. 6793 T(x,R(x,y,z) * u) \ (x * K(L(x,u,R(x,y,z)),u)) = L(x,u,R(x,y,z)) \ x. [para(1287(a,1),6742(a,1,1))]. 6794 K(x,T(y,L(x,z,u) * w)) = K(x,T(y,w)). [hyper(189,a,6464,a(flip),b,6748,a(flip)),flip(a)]. 6796 K(x,T(y,L(x,z,u) \ w)) = K(x,T(y,w)). [para(17(a,1),6794(a,1,2,2)),flip(a)]. 6797 T(x,L(y \ 1,x * y,z)) = T(x,(z * (x * y)) \ (x * z)). [hyper(189,a,6574,a(flip),b,6773,a)]. 6798 T(x,L(y \ 1,x * y,z)) = T(x,L(y,x,z) \ 1). [hyper(189,a,5474,a(flip),b,6773,a)]. 6799 T(x,L(y \ 1,x * y,z)) != u | T(x,y \ 1) = u. [para(6798(a,2),5940(a,1))]. 6800 T(x,(y * (x * z)) \ (x * y)) = T(x,z \ 1). [hyper(6799,a,6797,a),flip(a)]. 6801 T(x,((x \ y) * (x * z)) \ y) = T(x,z \ 1). [para(17(a,1),6800(a,1,2,2))]. 6802 T(x,((x \ y) * z) \ y) = T(x,(x \ z) \ 1). [para(17(a,1),6801(a,1,2,1,2))]. 6803 T(x,((x \ y) * z) \ y) = T(x,z \ x). [hyper(189,a,5471,a(flip),b,6802,a)]. 6804 T(x,(y * z) \ (x * y)) = T(x,z \ x). [para(16(a,1),6803(a,1,2,1,1))]. 6805 T(x,(y * z) \ (y * x)) = T(x,z \ x). [hyper(189,a,6574,a,b,6804,a(flip)),flip(a)]. 6806 T(x,(y \ z) \ x) = T(x,z \ (y * x)). [para(17(a,1),6805(a,1,2,1)),flip(a)]. 6807 K(x,T(y,z \ (u * y))) = K(x,T(y,z \ u)). [para(6806(a,1),5476(a,1,2))]. 6808 K(x,T(y,(y \ z) \ u)) = K(x,T(y,z \ u)). [para(6777(a,2),6807(a,1,2))]. 6809 K(x,T(y,(y \ z) \ u)) != K(x,y) * w | K(x,K(y,z \ u)) = w. [para(6808(a,2),6020(a,1))]. 6810 K(x,K(y,z)) * (L(K(x,u),w,v5) \ K(x,K(y,z))) = L(K(x,u),w,v5) \ 1. [hyper(5990,a,5938,a)]. 6811 K(x,K(y,z)) * (K(z,u) * w) = K(z,u) * (K(x,K(y,z)) * w). [para(5969(a,2),5988(a,2,2,1))]. 6812 K(T(x,y),z \ (y * (x \ 1))) = K(x,(y * (x \ 1)) / z). [hyper(5434,a,6083,a)]. 6813 K(T(x,y),((x \ 1) * y) \ z) = K(x,z / ((x \ 1) * y)). [hyper(5434,a,6085,a)]. 6814 K(T(x,y),L(T(z,y),y,x \ 1)) = K(x,((x \ 1) * (z * y)) / ((x \ 1) * y)). [para(154(a,1),6813(a,1,2))]. 6815 x / (K(T(y,z),x) * K(x,z)) = T(x * K(z,x),y). [para(4430(a,1),6091(a,1,2,2))]. 6816 T(x * K(y,x),z) \ x = K(T(z,y),x) * K(x,y). [para(6815(a,1),69(a,1,1))]. 6818 T((x * y) / x,z) \ y = K(T(z,x),y) * K(y,x). [para(4375(a,2),6816(a,1,1,1))]. 6819 T((x * y) / x,z) \ y = K(y,x) * K(T(z,x),y). [hyper(189,a,1959,a,b,6818,a)]. 6820 K(x,y) * K(T(L(x,z,u) * y,y),x) = L(x,y,L(x,z,u)) \ x. [para(1295(a,1),6819(a,1,1)),flip(a)]. 6821 (x * K(y * z,y)) * K(y,z) = K(y * z,y) * (K(y,z) * x). [para(6356(a,1),6116(a,1,1))]. 6822 T(x * y,z) * ((y * x) \ 1) = K(x,y) * K(x * y,z). [para(4704(a,1),6125(a,1,2))]. 6823 T(((x * y) * ((y * x) \ 1)) * (y * x),z) = (K(x,y) * K(x * y,z)) * (y * x). [para(6822(a,1),4177(a,2,1))]. 6824 L(x,T(y,z) \ u,T(y,u)) = L(x,y \ (K(z,y) * u),y). [para(4551(a,1),6173(a,1,2))]. 6825 L(x,T(y,z) \ u,T(y,u)) = L(x,T(y,z) \ u,y). [para(4551(a,1),6824(a,2,2))]. 6826 T(x,y) * ((T(x,y) \ y) * z) = y * L(z,T(x,y) \ y,x). [para(6825(a,1),344(a,1,2)),flip(a)]. 6827 T(x,y) * ((x \ T(y,x)) * z) = y * L(z,T(x,y) \ y,x). [para(3529(a,1),6826(a,1,2,1))]. 6828 T(x,y) * ((x \ T(y,x)) * z) = y * L(z,x \ T(y,x),x). [para(3529(a,1),6827(a,2,2,2))]. 6829 (x * L(y,z \ T(x,z),z)) \ (x * y) = a(T(z,x),T(z,x) \ x,y). [para(6828(a,1),3558(a,1,1))]. 6830 K((T(x,y) * z) \ u,T(x,z)) = K(u / (T(x,y) * z),x). [hyper(5499,a,6191,a)]. 6831 T(x * y,y) / (T(x * y,y) / x) = x * K(y,x). [para(3403(a,1),6296(a,2,2))]. 6832 T(x * K(y,x),T(x * y,y)) = L(x,y * K(x * y,y),x). [para(6831(a,1),4665(a,1,1))]. 6833 L(x,y * K(x * y,y),x) = L(x,y,x). [hyper(189,a,6681,a(flip),b,6832,a(flip))]. 6834 L(x,R(y,x,y),x) = L(x,y,x). [hyper(189,a,4625,a(flip),b,6833,a(flip)),flip(a)]. 6835 L(x,R(T(y,y * x),x,T(y,y * x)),x) = L(x,L(y,x,y),x). [hyper(189,a,3727,a(flip),b,6834,a)]. 6836 K((x / y) \ 1,x * K(y,z)) = T(x * (y / x),z) \ T(y,z). [hyper(189,a,5782,a,b,6308,a(flip)),flip(a)]. 6837 K(x,y) * (z * T(z \ (K(x,y) \ u),y)) = z * T(z \ u,y). [hyper(189,a,323,a(flip),b,6341,a)]. 6838 T(x,T((y * z) \ y,u)) = T(x,T(z \ 1,u)). [hyper(189,a,6375,a(flip),b,6377,a)]. 6839 T(x,T((y \ z) \ 1,u)) = T(x,T(z \ y,u)). [para(17(a,1),6838(a,1,2,1,1)),flip(a)]. 6840 T(x,y \ ((z \ u) \ y)) = T(x,T(u \ z,y)). [hyper(5512,a,6839,a)]. 6841 T(x,(y * (z * K(x,u))) \ w) = T(x,(y * z) \ w). [hyper(189,a,4466,a,b,6432,a)]. 6842 T(x,(y * (z * x)) \ u) = T(x,(y * (x * z)) \ u). [para(95(a,1),6841(a,1,2,1,2)),flip(a)]. 6843 T(K(x,y) * z,K(y,u)) = K(x,y) * T(z,K(y,u)). [hyper(189,a,6136,a(flip),b,6567,a(flip))]. 6844 T(x * K(y,z),K(y,u)) = T(x,K(y,u)) * K(y,z). [hyper(4992,a,6843,a),flip(a)]. 6845 T(x * K(y,z * x),K(y,z)) = K(y,z * x) * x. [hyper(189,a,6668,a(flip),b,6844,a)]. 6846 T(x * K(y,z),K(y,u)) \ T(x,K(y,u)) = K(z,y). [para(6844(a,2),3918(a,1,1))]. 6848 (x * K(y,z * x)) / T(T(K(y,z),x * K(y,z * x)),x * K(y,z * x)) = (K(y,z * x) * x) / T(K(y,z),x * K(y,z * x)). [para(6845(a,1),3547(a,1,1)),flip(a)]. 6849 T(K(x,K(y,z)) * u,K(y,w)) = K(x,K(y,z)) * T(u,K(y,w)). [para(5969(a,1),6577(a,1,1,1))]. 6850 K(x,y) * T(z,z \ T(x,y)) = T(K(x,y) * z,z \ x). [hyper(5189,a,6678,a)]. 6851 K(x,y) * T(K(y,x) * z,z \ y) = T(z,z \ T(y,x)). [hyper(3907,a,6850,a)]. 6852 T((T(x,y) \ 1) * x,T(x,z)) = (T(x,y) \ 1) * x. [para(6718(a,1),6719(a,1,1))]. 6853 K(x,(y * z) \ (x \ y)) = K(x,z \ (x \ 1)). [hyper(6784,a,6783,a)]. 6854 K(x,(y \ z) \ (x \ 1)) = K(x,z \ (x \ y)). [para(17(a,1),6853(a,1,2,1)),flip(a)]. 6855 K((x * y) \ (z \ x),z) = (u * K(z,y \ (z \ 1))) \ u. [para(6853(a,1),3918(a,1,1,2)),flip(a)]. 6856 K(1 / x,y \ ((1 / x) \ z)) = K(1 / x,(z \ y) \ x). [para(69(a,1),6854(a,1,2,2)),flip(a)]. 6857 K(x,(y / (y / z)) \ (x \ ((z \ y) * z))) = K(x,(y \ z) \ (x \ 1)). [para(4326(a,1),6854(a,1,2,1)),flip(a)]. 6858 K(L(x,y,z) \ 1,(u \ w) \ ((x \ 1) \ 1)) = L(K(x \ 1,w \ ((x \ 1) \ u)),y,z). [para(6854(a,1),4824(a,1,1)),flip(a)]. 6859 K((x * y) \ (z \ x),z) = K(y \ (z \ 1),z). [hyper(189,a,3918,a(flip),b,6855,a)]. 6860 K((x * (y * z)) \ (u \ (x * y)),u) = K(L(z,y,x) \ (u \ 1),u). [para(102(a,1),6859(a,1,1,1))]. 6861 K(1 / x,y \ ((1 / x) \ z)) != u | K(x \ 1,(z \ y) \ x) = u. [para(6856(a,2),4254(a,1))]. 6862 K(x,(y * (x / y)) \ (z * x)) != u | K(x,K(y \ x,y) * z) = u. [para(6792(a,2),6492(a,1))]. 6863 K(x,y) * (K(z,K(u,x)) * (K(x,y) \ w)) = K(z,K(u,x)) * w. [hyper(254,a,6811,a),flip(a)]. 6864 K(x * y,x) * (K(x,y) * z) = z * (K(x,y) * K(x * y,x)). [hyper(6646,a,6821,a),flip(a)]. 6865 L(x,L(y,x,y),x) = L(x,T(y,x),x). [para(3609(a,1),6835(a,1,2)),flip(a)]. 6866 L(x,L(y,x,y),x) = L(x,y,x). [hyper(189,a,3724,a(flip),b,6865,a)]. 6867 L(R(x,y,z),L(u,x,u),x) = R(L(x,u,x),y,z). [para(6866(a,1),47(a,1,1)),flip(a)]. 6868 L(R(x,y,z),L(u,x,u),x) = L(R(x,y,z),u,x). [hyper(189,a,47,a(flip),b,6867,a)]. 6869 K(L(R(x,y,z),L(u,x,u),x),x * L(u,x,u)) * ((x * (L(u,x,u) * R(x,y,z))) / (x * L(u,x,u))) = L(R(x,y,z),u,x). [hyper(189,a,4470,a,b,6868,a(flip)),flip(a)]. 6870 K((x / y) \ 1,x * K(y,z)) = K(x \ T(y,z),x). [hyper(189,a,4182,a(flip),b,6836,a)]. 6871 K(x \ y,K(y,z) * x) = K(x \ T(y,z),x). [hyper(189,a,6372,a(flip),b,6870,a(flip)),flip(a)]. 6872 K(x \ T(y,z),x) * (K(y,z) * (x * (x \ y))) = L(x \ y,x,K(y,z)) * (K(y,z) * x). [para(6871(a,1),5537(a,1,1))]. 6873 K(x,y) * (K(z,K(x,u)) * (K(x,y) \ w)) = K(u,K(z,x)) * w. [para(5969(a,2),6863(a,1,2,1))]. 6874 L(K(x,T(y \ z,u)),y \ z,y) = K(x,T((z \ y) \ 1,u)). [hyper(189,a,6034,a(flip),b,6078,a)]. 6875 K(x,T((y \ z) \ 1,u)) = K(x,T(z \ y,u)). [hyper(189,a,5515,a(flip),b,6874,a(flip))]. 6876 K(x,T(1 / (y \ z),u)) = K(x,T(z \ y,u)). [hyper(5329,a,6875,a)]. 6878 K(x,y \ ((z \ u) \ y)) = K(x,T(u \ z,y)). [hyper(189,a,5367,a(flip),b,6875,a(flip)),flip(a)]. 6879 K(R(x,y,R(T(x,y),z,u)),T(w,y)) = K(x,T(w,R(x,z,u) * y)). [hyper(6107,a,6088,a),flip(a)]. 6880 K(x \ y,T(z,y)) = K((K(z,u) * y) / x,z). [hyper(6273,a,6541,a),flip(a)]. 6881 K((K(x,y) * z) / u,x) = K(z / u,x). [hyper(6100,a,6880,a),flip(a)]. 6882 K((x * K(y,z)) / u,z) = K(x / u,z). [para(6052(a,1),6881(a,1,1,1)),flip(a)]. 6883 K(x,T((K(x,y) * z) / u,w)) = ((w * x) / w) / ((w * (x * K(z / u,x))) / w). [para(6881(a,1),6732(a,1,2,1,2,2)),flip(a)]. 6884 K((x * T(y,z)) / u,z) = K((x * y) / u,z). [para(1078(a,1),6882(a,1,1,1))]. 6885 K(x,(y * T(z,x)) / u) = (w * K((y * z) / u,x)) \ w. [para(6884(a,1),3918(a,1,1,2)),flip(a)]. 6886 K(x,(y * T(z,x)) / u) != w | K(x,(y * z) / u) = w. [para(6885(a,2),3922(a,1))]. 6887 T(R(K(x,T(y,z)),z,u) \ 1,z * u) = K(((z / x) * u) \ (z * u),y) \ 1. [para(6299(a,1),5351(a,1,1)),flip(a)]. 6888 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(6302,a,6361,a)]. 6889 a(x,y * K(x,z),x) != u | a(x,y,T(x,z)) = u. [para(6303(a,1),553(a,1))]. 6890 K(x / (y * z),x / z) = K(y \ (z \ x),x / z). [hyper(189,a,3831,a(flip),b,6568,a(flip))]. 6891 K((x * y) \ z,y \ z) = K(x \ (y \ z),z / y). [hyper(6068,a,6890,a)]. 6893 (x * K(y \ (z \ u),u / z)) \ x = K(z \ u,(y * z) \ u). [para(6891(a,1),3918(a,1,1,2))]. 6894 ((x \ y) \ K(z \ (x \ y),y / x)) \ ((x \ y) \ 1) = K(x \ y,(z * x) \ y). [para(6891(a,1),4605(a,1,1,2))]. 6895 K(x / y,z \ (y \ x)) = K(y \ x,(z * y) \ x). [hyper(3922,a,6893,a)]. 6896 R(x,y / x,z) \ R(T(x,T(u,x \ y)),y / x,z) = K((y * z) / ((y / x) * z),u). [hyper(189,a,4398,a,b,6673,a(flip)),flip(a)]. 6897 K(x,K(y,z \ (u * y))) = K(x,K(y,z \ u)). [hyper(6809,a,6778,a(flip)),flip(a)]. 6898 T(x * K(T(y,z),R(u,z,R(T(u,z),w,v5))),K(T(y,z),v6)) \ T(x,K(T(y,z),v6)) = K(u,T(y,R(u,w,v5) * z)). [hyper(189,a,6846,a,b,6879,a(flip)),flip(a)]. 6899 K(x \ y,(z \ 1) \ (z \ y)) = K((z \ x) \ (z \ y),y). [para(17(a,1),5948(a,1,2)),flip(a)]. 6900 K(x \ R(y,z,u),R((w \ 1) \ (w \ y),z,u)) = K((w \ x) \ (w \ R(y,z,u)),R(y,z,u)). [para(1715(a,2),6899(a,1,2))]. 6901 T(x * K(y,x),K(x,z) * u) = T(x,u) * K(y,T(x,u)). [para(6161(a,1),6172(a,1,2,2)),flip(a)]. 6902 T(x * K(y,x),K(x,z) * u) = T(x * K(y,x),u). [hyper(189,a,4653,a(flip),b,6901,a)]. 6904 T(x * K((K(x,y) * z) * R(x,u,w),x),z) = R(x,K(x,y) * z,R(x,u,w)). [hyper(189,a,4654,a(flip),b,6902,a(flip))]. 6905 T(x,T(y,z)) * K(z \ y,z) = K(z \ y,z) * T(x,y). [hyper(189,a,6609,a(flip),b,6281,a(flip)),flip(a)]. 6906 (K(x,y) * z) * K(u,T(x,w)) = K(x,y) * (z * K(u,T(x,w))). [para(6034(a,1),6564(a,1,2,2)),flip(a)]. 6907 R(x \ y,(x \ y) \ x,x \ y) = ((y / x) \ x) \ x. [hyper(189,a,4993,a(flip),b,6583,a(flip))]. 6908 K(x,K(1 / y,z) / (1 / y)) = T(K(T(x,y \ 1),y),z). [para(69(a,1),6747(a,1,1,2)),flip(a)]. 6909 K(x,K(1 / y,z) / (1 / y)) = T(K(x,y),z). [para(5386(a,1),6908(a,2,1))]. 6910 K(x,1 / (K(y,z \ 1) / z)) = T(K(x,z),y). [para(4677(a,1),6909(a,1,2))]. 6911 K(x,y * K(y \ 1,z)) = T(K(x,y),z). [hyper(189,a,4779,a(flip),b,6910,a(flip)),flip(a)]. 6912 K(x,y * K(y \ 1,z)) != u | K(x,T(y,z)) = u. [para(6911(a,2),5490(a,1))]. 6913 K(x * y,T(y,x)) = K(y \ 1,x). [hyper(6912,a,6371,a)]. 6914 K(x \ 1,y) = K(x * y,x). [hyper(3735,a,6913,a),flip(a)]. 6915 K(x \ 1,y) != z | K(y * x,x) = z. [para(6913(a,1),5280(a,1))]. 6916 K(x * K(y \ 1,z),y) = K(x,y). [para(6913(a,1),6200(a,1,1,2))]. 6917 K(x \ 1,y / x) = K(y,x). [hyper(189,a,4619,a(flip),b,6914,a)]. 6920 K(x,y / K(x \ 1,z)) = K(x,y). [para(6914(a,2),6176(a,1,2,2))]. 6922 L(x,y,K(x \ 1,z)) = x. [para(6914(a,2),6512(a,1,3))]. 6923 K(x,y / (z * K(x \ 1,u))) = K(x,y / z). [para(6914(a,2),6756(a,1,2,2,2))]. 6925 (K(x \ 1,y) * z) * x = K(x \ 1,y) * (z * x). [para(6922(a,1),102(a,1,2))]. 6926 L(x \ 1,y,K(x,z)) = x \ 1. [para(2648(a,1),6922(a,1,3))]. 6928 (K(x,y) * (z * x)) \ (K(x,y) * z) = L(x \ 1,x,z). [para(6926(a,1),707(a,1,1)),flip(a)]. 6932 K(x / T(y,z \ 1),z) = K(x / y,z). [para(5178(a,1),6916(a,1,1))]. 6933 K(K(x,y \ 1) * z,y) = K(z,y). [para(5348(a,1),6916(a,1,1)),flip(a)]. 6934 K(T(x,y \ 1) \ z,y) = K(x \ z,y). [para(5457(a,1),6916(a,1,1))]. 6935 K(x \ 1,y / K(x,z)) = K(x \ 1,y). [para(2648(a,1),6920(a,1,2,2))]. 6936 K(K(x \ 1,y) \ z,x) = K(z,x). [para(3889(a,2),6933(a,1,1))]. 6937 K(x \ T(y,z \ 1),z) = K(x \ y,z). [para(4757(a,1),6933(a,1,1))]. 6938 (K(x \ 1,y) \ z) * K(z,x) = T(K(x \ 1,y) \ z,x). [para(6936(a,1),4396(a,2,2)),flip(a)]. 6939 K(x / (y * (z \ 1)),z) = K(x / (z \ y),z). [para(4242(a,1),6932(a,1,1,2))]. 6940 K(x \ 1,y / T(z,x)) = K(x \ 1,y / z). [para(5177(a,1),6935(a,1,2)),flip(a)]. 6941 K(x \ (y * (z \ 1)),z) = K(x \ (z \ y),z). [para(4242(a,1),6937(a,1,1,2))]. 6942 K(x,y / ((z / (x \ 1)) * u)) = K(x,y / (((x \ 1) \ z) * u)). [para(5452(a,1),6923(a,1,2,2))]. 6943 K(R(x,y,x) \ 1,z) = K(x \ 1,z). [hyper(4939,a,6925,a)]. 6945 K(x \ 1,R(y,z,x)) = K(x \ 1,y). [hyper(189,a,5685,a(flip),b,6943,a(flip)),flip(a)]. 6946 K(x \ 1,(y * x) / (z * x)) = K(x \ 1,y / z). [para(111(a,1),6945(a,1,2))]. 6947 (K(x,y \ 1) * z) * K(z,y) = T(K(y \ 1,x) \ z,y). [para(3889(a,1),6938(a,1,1))]. 6948 T(K(x \ 1,y) \ z,x) = K(y,x \ 1) * T(z,x). [hyper(5189,a,6947,a),flip(a)]. 6949 T(K(x,y \ 1) * z,y) = K(x,y \ 1) * T(z,y). [para(3889(a,1),6948(a,1,1))]. 6950 T(x * K(y \ 1,z),y) = T(x,y) * K(y \ 1,z). [hyper(4992,a,6949,a),flip(a)]. 6952 T((x / y) * K(y \ 1,z),y) = (y \ x) * K(y \ 1,z). [para(115(a,1),6950(a,2,1))]. 6953 x \ (y * K(x \ 1,z)) = (x \ y) * K(x \ 1,z). [hyper(4966,a,6952,a)]. 6954 x * ((x \ y) * K(x \ 1,z)) = y * K(x \ 1,z). [para(6953(a,1),17(a,1,2))]. 6955 (x * y) * K(x \ 1,z) = x * (y * K(x \ 1,z)). [para(16(a,1),6954(a,1,2,1)),flip(a)]. 6956 K(L(x,y,x) \ 1,z) = K(x \ 1,z). [hyper(4941,a,6955,a)]. 6957 R(x,y,K(x \ 1,z)) = x. [hyper(376,a,6955,a)]. 6958 K(x \ 1,(x \ y) \ z) = K(x \ 1,y \ (x * z)). [hyper(20,a,5926,a,b,6955,a)]. 6961 R(x \ 1,y,K(x,z)) = x \ 1. [para(2648(a,1),6957(a,1,3))]. 6962 R(x,y,K(z,x)) = x. [para(6917(a,1),6957(a,1,3))]. 6965 (T(x,y) * z) * K(u,x) = T(x,y) * (z * K(u,x)). [para(6962(a,1),380(a,1,1,1)),flip(a)]. 6966 R(x,y,K(z,T(x,u))) = x. [para(5337(a,1),6962(a,1,3))]. 6967 (L(x,y,z) * u) * K(w,T(x,v5)) = L(x,y,z) * (u * K(w,T(x,v5))). [para(6966(a,1),381(a,1,1,1)),flip(a)]. 6968 ((x \ 1) * y) * K(x,z) = (x \ 1) * (y * K(x,z)). [para(6961(a,1),110(a,1,1)),flip(a)]. 6969 K(x,L(y,z,y) \ 1) = (u * K(y \ 1,x)) \ u. [para(6956(a,1),3918(a,1,1,2)),flip(a)]. 6970 K(x,L(y,z,y) \ 1) = K(x,y \ 1). [hyper(189,a,3918,a(flip),b,6969,a)]. 6972 K(x,L(1 / y,z,1 / y) \ 1) = K(x,(y \ ((1 / y) \ 1)) * T(y,1)). [para(3616(a,2),6970(a,2,2))]. 6974 L(K(x \ 1,y \ (x * (z \ u))),z \ u,z) = K(x \ 1,(z * (x \ y)) \ u). [para(6958(a,1),5914(a,1,1))]. 6975 L(K(x,y),z,T(y,u)) = K(x,y). [hyper(5798,a,6965,a)]. 6976 K(L(x,y,T(z,u)),z) = K(x,z). [hyper(189,a,6613,a(flip),b,6975,a(flip)),flip(a)]. 6977 K((T(x,y) * z) \ u,x) = K(z \ (T(x,y) \ u),x). [hyper(189,a,5528,a(flip),b,6975,a(flip)),flip(a)]. 6980 K(L(x,y,z),z) = K(x,z). [para(112(a,1),6976(a,1,1,3))]. 6981 K((x * ((T(y,z) * x) \ u)) / x,y) = K((T(y,z) \ u) / x,y). [para(675(a,1),6976(a,1,1))]. 6982 K((x * y) \ z,x) = K(y \ (x \ z),x). [para(183(a,1),6980(a,1,1))]. 6983 K(R(x,y,z),L(u,w,x)) = R(x * K(u,x),y,z) \ R(x,y,z). [para(6980(a,1),4743(a,1,1,1,2)),flip(a)]. 6984 K(x,T(y,L(z,u,x))) = K(x * K(z,x),y). [para(6980(a,1),6046(a,1,1,2)),flip(a)]. 6985 K((x \ y) \ (x \ z),x) = K(y \ z,x). [para(17(a,1),6982(a,1,1,1)),flip(a)]. 6986 K(T(x * K(y \ (x \ (z * x)),x),x),u) = K(x,T(u,T(z \ (x * y),x) \ x)). [para(6982(a,1),6660(a,1,1,1,2))]. 6987 K((x \ y) \ z,x) = K(y \ (z * x),x). [hyper(6278,a,6985,a)]. 6988 K(x \ (y * z),z) != u | K((z \ x) \ y,z) = u. [para(6985(a,1),6278(a,1))]. 6989 K((x / y) \ z,y) = K(x \ (z * y),y). [hyper(6235,a,6987,a)]. 6990 K((x * y) \ (z * y),y) = K(x \ z,y). [para(18(a,1),6989(a,1,1,1)),flip(a)]. 6991 K((x * y) \ z,y) = K(x \ (y \ z),y). [hyper(189,a,6532,a(flip),b,6990,a(flip)),flip(a)]. 6992 (x * K(y \ (z \ u),z)) \ x = K(z,(y * z) \ u). [para(6991(a,1),3918(a,1,1,2))]. 6993 (x * y) * T((x * y) \ z,y) = z * K(x \ (y \ z),y). [para(6991(a,1),5160(a,2,2))]. 6994 K((x * y) \ (z * y),y) != u | K(x \ z,y) = u. [para(6991(a,2),6278(a,1))]. 6995 K(x,T(y,L(z,u,x))) = K(x,T(y,z)). [hyper(189,a,6046,a(flip),b,6984,a)]. 6996 K(x,T(x * y,y * z)) = K(x,T(x * y,z)). [hyper(189,a,5591,a(flip),b,6995,a(flip)),flip(a)]. 6997 K(x,T(y,(x \ z) \ u)) = K(x,T(y,z \ (x * u))). [para(359(a,1),6995(a,1,2,2)),flip(a)]. 6999 K(x,T(x * y,y \ z)) = K(x,T(x * y,z)). [para(17(a,1),6996(a,1,2,2)),flip(a)]. 7000 K(x / y,T((x / y) * y,z)) = K(x / y,T(x,y \ z)). [para(19(a,1),6999(a,1,2,1)),flip(a)]. 7001 K(x \ (y * (z \ x)),z \ x) != u | K(z \ y,z \ x) = u. [para(17(a,1),6994(a,1,1,1))]. 7002 K(x,L(y,z,x \ 1)) = K(x,y). [hyper(20,a,6690,a,b,6968,a),flip(a)]. 7003 K(x,L((1 / x) * y,z,u)) = K(x,L(x \ y,z,u)). [para(2383(a,1),7002(a,1,2))]. 7004 K((T(x,y) * z) \ u,x) = K(z \ (x \ u),x). [hyper(189,a,6536,a(flip),b,6977,a)]. 7007 K(x,(y * x) \ z) != u | K(x,y \ (x \ z)) = u. [para(6992(a,1),3922(a,1))]. 7008 K(x,L(x \ y,x,z)) != u | K(x,z \ (x \ (z * y))) = u. [para(104(a,2),7007(a,1,2))]. 7009 K(x,L(x \ ((x \ 1) \ y),z,u)) = K(x,L(K(x,x \ 1) * y,z,u)). [para(2427(a,1),7003(a,1,2,1)),flip(a)]. 7010 ((x \ (y / z)) * x) * z = y * K(z \ (x \ y),x). [hyper(189,a,4199,a(flip),b,6993,a(flip)),flip(a)]. 7011 (x * y) * K(y \ (z \ (x * y)),z) = ((z \ x) * z) * y. [para(18(a,1),7010(a,1,1,1,2)),flip(a)]. 7012 K(x / y,T((x / y) * y,z)) = K(y \ x,T(x,y \ z)). [hyper(189,a,4844,a(flip),b,7000,a)]. 7013 K(x,L(x \ y,x,z)) = K(x,z \ (x \ (z * y))). [hyper(7008,a,xx),flip(a)]. 7014 K(x,L(x \ (y \ z),x,z / (z / y))) = K(x,(z / (z / y)) \ (x \ ((y \ z) * y))). [para(3588(a,1),7013(a,2,2,2,2))]. 7015 K(x,y / (((x \ z) * x) * u)) = K(x,y / (z * u)). [para(7011(a,1),6756(a,1,2,2))]. 7016 K(x,y / ((z * x) * u)) = K(x,y / ((x * z) * u)). [para(16(a,1),7015(a,1,2,2,1,1))]. 7017 K(x \ y,T(y,x \ z)) = K(y / x,T(y,z)). [para(19(a,1),7012(a,1,2,1)),flip(a)]. 7018 K(x \ y,T(y,x \ z)) = K(x \ y,T(y,z)). [hyper(189,a,4844,a(flip),b,7017,a)]. 7019 K(x \ ((y \ x) * z),z) = K(y \ z,T(z,x)). [hyper(189,a,6555,a,b,7018,a(flip)),flip(a)]. 7020 K(x \ (y \ z),T(y \ z,z)) = K(y \ (x \ z),y \ z). [hyper(7001,a,7019,a),flip(a)]. 7021 K(x \ (y \ z),x \ z) = K(y \ (x \ z),z / x). [hyper(6277,a,7020,a),flip(a)]. 7022 (x \ y) \ K(z \ (x \ y),y / x) = T(x \ y,x \ (z \ y)) \ 1. [hyper(75,a,7021,a(flip),b,4358,a(flip))]. 7023 K((T(x,y) * z) \ u,T(x,z)) = K((T(x,y) \ u) / z,x). [hyper(6038,a,6981,a)]. 7024 K((T(x,y) \ z) / u,x) = K(z / (T(x,y) * u),x). [hyper(189,a,6830,a(flip),b,7023,a(flip))]. 7025 K(R(x,y,z),L(u,w,x)) != v5 | K(R(x,y,z),u) = v5. [para(6983(a,2),4886(a,1))]. 7026 K(1 / x,L((1 / x) * y,z,u) \ 1) != w | K(L(x,z,u) \ 1,y \ x) = w. [para(6790(a,2),4835(a,1))]. 7027 K(x,(y / (y / z)) \ (x \ ((z \ y) * z))) = K(x,z \ (x \ y)). [hyper(189,a,6854,a(flip),b,6857,a)]. 7028 L(K(x,T(y,z)),u,L(y,w,v5)) = K(x,T(y,z)). [hyper(5798,a,6967,a)]. 7029 K(x,T(y,L(y,z,u) * w)) = K(x,T(y,w)). [hyper(5937,a,7028,a)]. 7030 L(K(x,T(y,z)),u,y) = K(x,T(y,z)). [para(262(a,1),7028(a,1,3))]. 7031 K((x * y) \ z,T(x,u)) = K(y \ (x \ z),T(x,u)). [hyper(189,a,5528,a(flip),b,7030,a(flip)),flip(a)]. 7032 K((x \ y) \ z,T(x,u)) = K(y \ (x * z),T(x,u)). [hyper(189,a,5527,a(flip),b,7030,a(flip))]. 7033 K(x * L(y,z,u),T(y,x)) = K(x * L(y,z,u),y). [hyper(6104,a,7029,a),flip(a)]. 7034 K(L(x,y,z) * u,T(x,u)) = K(L(x,y,z) * u,x). [hyper(3885,a,7029,a),flip(a)]. 7035 L(K(x \ (y \ 1),T(y,z)),u,w) = K(L(y * x,u,w) \ 1,T(y,z)). [para(7031(a,1),4824(a,1,1))]. 7036 K(x \ (y * z),T(y,z)) = K(z / (y \ x),y). [hyper(6100,a,7032,a),flip(a)]. 7037 K(x / (y \ z),y) = K((z / x) \ y,y). [hyper(6294,a,7036,a),flip(a)]. 7039 T(x,y) * K(y * L(x,z,u),x) = R(x,y,L(x,z,u)). [para(7033(a,1),5048(a,1,2))]. 7040 K(T(L(x,y,z) * u,u),x) = K(L(x,y,z) * u,x). [hyper(5430,a,7034,a)]. 7041 K(x,y) * K(L(x,z,u) * y,x) = L(x,y,L(x,z,u)) \ x. [para(7040(a,1),6820(a,1,2))]. 7042 K(x * L(y,z,u),y) * K(y,x) = y \ R(y,x,L(y,z,u)). [hyper(75,a,7039,a(flip),b,4545,a),flip(a)]. 7043 K(x,y) * K(y * L(x,z,u),x) = x \ R(x,y,L(x,z,u)). [hyper(75,a,7039,a(flip),b,4376,a),flip(a)]. 7044 x \ R(x,y,L(x,z,u)) != w | K(x,y) * K(y * L(x,z,u),x) = w. [para(7042(a,1),1960(a,1))]. 7045 K(x * L(y,z,u),T(y,x)) * K(y,x) = y \ R(y,x,L(y,z,u)). [para(7033(a,2),7042(a,1,1))]. 7046 (1 / (x \ y)) \ R(1 / (x \ y),z,L(1 / (x \ y),x \ y,x)) = K(z * (1 / (1 / (y \ x))),T(1 / (x \ y),z)) * K(1 / (x \ y),z). [para(2196(a,1),7045(a,1,1,1,2)),flip(a)]. 7047 K(R(x \ R(x,y,z),x,y * z),u) = K(a(x,y,z),T(u,x * (y * z))). [para(3254(a,2),6071(a,1,1))]. 7048 R(x,y,z) \ R(x * K(u,T(x,w)),y,z) = K(u,T(R(x,y,z),w)). [para(6034(a,1),6073(a,1,2,1,2))]. 7049 R(x,y,z) \ R(x * K(u,T(x,w)),y,z) = K(u,R(T(x,w),y,z)). [para(45(a,2),7048(a,2,2))]. 7050 (x * y) / (x * (y * K(z,u))) = L(T(K(u,z),x * y),y,x). [para(6560(a,1),6368(a,1,1)),flip(a)]. 7051 (x * y) / (x * (y * K(z,u))) = L(K(u,T(z,x * y)),y,x). [para(5334(a,2),7050(a,2,1))]. 7053 L(K(x,T(x * y,z * y)),y,z) = (z * y) / (z * (x \ T(x * y,x))). [para(5198(a,2),7051(a,1,2,2)),flip(a)]. 7054 L(K(x,T(T(y,z),u * z)),z,u) = (u * z) / (u * (K(y,x) * z)). [para(5370(a,1),7051(a,1,2,2)),flip(a)]. 7055 K(R(x \ y,z,u),T(y,x)) = K(R(x \ y,z,u),y). [hyper(4514,a,6397,a),flip(a)]. 7056 K(R(x / y,z,u),x) = K(R(y \ x,z,u),x). [hyper(6112,a,7055,a)]. 7057 K(R(((T(x,y) * y) / x) \ (T(x,y) * y),z,u),T(x,y) * y) = K(R(x * K(y,x),z,u),T(x,y) * y). [para(4955(a,1),7056(a,1,1,1)),flip(a)]. 7058 K(L(x,y,z),u \ (w * x)) != v5 | K(L(x,y,z),u \ (x * w)) = v5. [para(6575(a,1),4513(a,1))]. 7059 (x * y) \ ((x * (y * K(z,u))) * K(u,w)) = K(u,w) * L(K(z,u),y,x). [hyper(189,a,1963,a(flip),b,6633,a)]. 7060 (K(x,y) * K(z,x)) \ 1 = K(y,x) * K(x,z). [hyper(3714,a,6649,a),flip(a)]. 7061 K(x,L(1 / y,z,y \ 1) \ 1) = K(x,(y \ ((1 / y) \ 1)) * T(y,1)). [para(3179(a,1),6972(a,1,2,1))]. 7062 K(a(x,y,z),T(x,x * (y * z))) != u | K(x \ R(x,y,z),R(x,x \ R(x,y,z),y * z)) = u. [para(7047(a,1),6752(a,1))]. 7063 a(x,y * K(z,u),K(u,z)) = K(u,z) * L(K(z,u),y,x). [hyper(3935,a,7059,a)]. 7064 K(x,y) * L(K(y,x),z * K(x,y),u) = a(u,z,K(x,y)). [para(3919(a,1),7063(a,1,2)),flip(a)]. 7065 K(x,y) * L(K(y,x),z,u) = a(u,z,K(x,y)). [para(6611(a,1),7064(a,1,2))]. 7066 L(K(x,y),z,u) * K(y,x) = a(u,z,K(y,x)). [hyper(1961,a,7065,a)]. 7067 L(K(x,y),z,u) \ K(x,y) = a(u,z,K(x,y)). [hyper(189,a,5911,a,b,7065,a(flip)),flip(a)]. 7070 L(K(x,y),z,y \ 1) = K(x,(y \ ((1 / y) \ 1)) * T(y,1)). [hyper(189,a,5886,a(flip),b,7061,a(flip)),flip(a)]. 7071 L(K(x,y),z,y \ 1) = K(x,(y \ y) * T(y,1)). [para(69(a,1),7070(a,2,2,1,2))]. 7072 L(K(x,y),z,y \ 1) = K(x,1 * T(y,1)). [para(59(a,1),7071(a,2,2,1))]. 7074 L(K(x,y),z,y \ 1) = K(x,1 * y). [para(188(a,1),7072(a,2,2,2))]. 7075 L(K(x,y),z,y \ 1) = K(x,y). [para(14(a,1),7074(a,2,2))]. 7078 K(((x \ 1) * y) \ (z * (x \ 1)),x) = K(y \ T(z,x \ 1),x). [hyper(189,a,5530,a(flip),b,7075,a(flip)),flip(a)]. 7079 K(((x \ 1) * y) \ (x \ z),x) = K(y \ T(z,x \ 1),x). [hyper(189,a,6941,a(flip),b,7078,a(flip)),flip(a)]. 7080 K(((x \ 1) * y) \ (x \ z),x) = K(y \ z,x). [hyper(189,a,6937,a(flip),b,7079,a)]. 7081 K(((x \ 1) * y) \ z,x) = K(y \ (z * x),x). [hyper(6278,a,7080,a)]. 7082 K(T(x,y \ 1) \ (z * y),y) = K((x * (y \ 1)) \ z,y). [para(113(a,1),7081(a,1,1,1)),flip(a)]. 7083 K((x * (y \ 1)) \ z,y) = K(x \ (z * y),y). [hyper(189,a,6934,a(flip),b,7082,a(flip))]. 7084 L(K(x * y,x),y,z) = K(z \ ((z * y) * x),x). [hyper(189,a,5532,a,b,7083,a(flip)),flip(a)]. 7085 L(K(x * ((y * z) \ y),x),(y * z) \ y,z * y) = K((z * y) \ ((y * K(z,y)) * x),x). [para(1211(a,1),7084(a,2,1,2,1))]. 7086 K(x \ ((x * y) * z),z) \ K(z * y,z) = a(x,y,K(z * y,z)). [para(7084(a,1),7067(a,1,1))]. 7087 K(x,y \ ((y * z) * x)) * K(x * z,x) = a(y,z,K(x * z,x)). [hyper(3909,a,7086,a)]. 7088 L(K(x,x * y),y,z) = K(x,z \ ((z * y) * x)). [hyper(21,a,7066,a,b,7087,a),flip(a)]. 7089 L(K(x,y * x),y,z) = K(x,z \ ((z * y) * x)). [para(4576(a,2),7088(a,1,1))]. 7090 L(K(x,x * (y \ z)),y \ z,z * (y / z)) = K(x,(z * (y / z)) \ (T(z,z \ y) * x)). [para(5579(a,1),7088(a,2,2,2,1))]. 7091 L(K(L(x,y,z),y * L(x,y,z)),y,z) = K(L(x,y,z),y * x). [para(342(a,1),7089(a,2,2))]. 7092 L(K(L(x,y,z),y * L(x,y,z)),y,z) = K(x,x * y). [hyper(189,a,5546,a(flip),b,7091,a)]. 7094 K(x / y,z) * K(K(y \ x,z) * x,x) = K(T(x / (x / y),x) \ x,z). [hyper(189,a,5637,a,b,6130,a)]. 7095 K(((x * y) \ (z * y)) \ 1,T(x,z)) = K(((x * y) \ (z * y)) \ 1,x). [hyper(189,a,4752,a(flip),b,6398,a)]. 7096 K(((x * y) \ (z * y)) \ 1,T(x,z)) = K(z \ x,((x * y) \ y) \ 1). [hyper(189,a,5613,a(flip),b,7095,a)]. 7097 K((x * y) \ (z * y),T(z,x)) = K(x \ z,((z * y) \ y) \ 1). [hyper(5466,a,7096,a)]. 7098 K((x * y) \ (z * y),T(z,x)) = K(x \ z,y \ (z * y)). [hyper(189,a,5258,a(flip),b,7097,a)]. 7099 K((x * y) \ (z * y),T(z,x)) = K(x \ z,T(z,y)). [para(35(a,2),7098(a,2,2))]. 7100 K(x,(x * y) \ (T((x * y) / z,u) * x)) = K(x,T(z \ (x * y),u) / y). [hyper(189,a,5916,a(flip),b,6447,a(flip)),flip(a)]. 7101 L(x \ 1,x,K(x,y) * z) = L(x \ 1,x,z). [hyper(6498,a,6928,a)]. 7102 L(x \ 1,x,y * K(x,z)) = L(x \ 1,x,y). [para(6024(a,1),7101(a,1,3))]. 7103 L(x \ 1,T(x,y),z) = L(x \ 1,x,z). [hyper(5588,a,7102,a)]. 7106 T(x * L(x \ 1,x,y),z) = T(x,z) * ((y * T(x,z)) \ y). [para(7103(a,1),1925(a,1,1,2))]. 7109 T(x,y) * ((z * T(x,y)) \ z) = x * ((z * x) \ z). [hyper(189,a,5810,a(flip),b,7106,a(flip))]. 7112 (x * ((y * x) \ y)) \ T(x,z) = 1 / ((y * T(x,z)) \ y). [para(7109(a,1),1450(a,1,1))]. 7113 K(T(x,y),z \ (T(x,u) * (x \ w))) = K(T(x,y),z \ w). [hyper(189,a,4660,a(flip),b,6554,a)]. 7114 K(T(x,y),z \ (T(x,u) \ w)) = K(T(x,y),z \ (x \ w)). [para(978(a,1),7113(a,1,2,2)),flip(a)]. 7115 K(T(x,y),z \ (u * K(x,w))) = K(T(x,y),z \ u). [para(6059(a,1),7113(a,1,2,2))]. 7116 K(T(x,y),z \ (u * (T(x,w) \ 1))) = K(T(x,y),z \ (u * (x \ 1))). [para(5734(a,1),7115(a,1,2,2)),flip(a)]. 7117 K(T(x,y),z \ (y * (T(x,u) \ 1))) = K(x,(y * (x \ 1)) / z). [hyper(189,a,6812,a(flip),b,7116,a)]. 7118 K(T(x,y),z \ (x \ y)) = K(x,(y * (x \ 1)) / z). [para(4265(a,1),7117(a,1,2,2))]. 7119 K(x,(y * (x \ 1)) / z) = K(x,y / (z * x)). [hyper(189,a,6449,a(flip),b,7118,a(flip))]. 7120 x \ (K(y,z) * (K(u,y) * x)) = T(K(u,y),x) * T(K(y,z),x). [para(6545(a,1),6634(a,1,2)),flip(a)]. 7122 K(x,K(y,z)) * (L(K(u,x),w,v5) * K(x,K(y,z))) = L(K(x,u),w,v5) \ 1. [para(5895(a,1),6810(a,1,2))]. 7123 K(x / y,z) * K(K(y \ x,z) * x,x) = K(x / T(y,x),z). [para(4901(a,1),7094(a,2,1))]. 7124 K(x / y,z) * K(x * K(y \ x,z),x) = K(x / T(y,x),z). [para(4617(a,1),7123(a,1,2))]. 7125 T(x * K(x / y,z),x) = x * K(x / T(y,x),z). [para(7124(a,1),6386(a,1,2)),flip(a)]. 7126 T(x * K(x / y,z),x) != x * u | K(x / T(y,x),z) = u. [para(7125(a,2),22(a,1))]. 7127 K(x,y \ (x \ (T((x * y) / z,u) * x))) = K(x,T(z \ (x * y),u) / y). [hyper(189,a,6768,a(flip),b,7100,a(flip)),flip(a)]. 7128 K(x,y \ T(T((x * y) / z,u),x)) = K(x,T(z \ (x * y),u) / y). [para(35(a,2),7127(a,1,2,2))]. 7129 K(x,T(y \ (x * z),u) / z) = K(x,z \ T((x * z) / y,u)). [hyper(6493,a,7128,a),flip(a)]. 7130 K(x,((y \ (x * z)) \ (x * z)) \ x) = K(x,z \ T((x * z) / y,y)). [hyper(189,a,6446,a,b,7129,a(flip)),flip(a)]. 7131 K(x,((y \ (x * z)) \ (x * z)) \ x) = K(x,z \ (y \ (x * z))). [para(115(a,1),7130(a,2,2,2))]. 7132 K(x,(x * y) \ ((z \ (x * y)) * x)) = K(x,y \ (z \ (x * y))). [hyper(189,a,5916,a(flip),b,7131,a(flip)),flip(a)]. 7133 (x \ T(K(y \ x,z) * x,x)) \ (x * K(x / y,z)) = L(x,K(y \ x,z),x). [para(6120(a,1),6131(a,1,1))]. 7134 (x * (y \ T(z * y,y))) \ (x * T(z,y)) = L(K(y,y * z),T(z,y),x). [para(113(a,1),6192(a,1,1,2,2,1))]. 7135 (x * (y \ T(z * y,y))) \ (x * T(z,y)) = L(K(y,y * z),z,x). [hyper(189,a,6612,a(flip),b,7134,a)]. 7136 T(x * K(y * R(x,z,u),x),y) = R(x,T(y,T(x,w)),R(x,z,u)). [hyper(189,a,5427,a(flip),b,6245,a(flip)),flip(a)]. 7138 R(x,T(y,T(x,z)),R(x,u,w)) = R(x,y,R(x,u,w)). [hyper(189,a,4654,a(flip),b,7136,a(flip))]. 7139 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(6092(a,1),7138(a,1,2))]. 7140 K(L(x,y,z),u * (K(x,w) * v5)) = K(L(x,y,z),u * v5). [hyper(189,a,4739,a(flip),b,6252,a)]. 7141 K(L(x,y,z),K(u,x) * w) = K(L(x,y,z),w). [para(3887(a,1),7140(a,1,2)),flip(a)]. 7142 K(L(x,y,z),L(K(u,x),w,v5) * v6) = K(L(x,y,z),v6). [para(4829(a,1),7141(a,1,2,1))]. 7143 K(x * (K(y,z) * u),R(y,w,v5)) = K(x * u,R(y,w,v5)). [hyper(189,a,4741,a(flip),b,6253,a)]. 7144 K(K(x,y) * z,R(y,u,w)) = K(z,R(y,u,w)). [para(3887(a,1),7143(a,1,1)),flip(a)]. 7145 K(K(x,y) * z,R(x,u,w)) = K(z,R(x,u,w)). [para(3887(a,1),7144(a,1,1)),flip(a)]. 7146 K(R(T(x,T(y,z)),u,w),R(z,y,z)) = K(R(x,u,w),z * K(y * z,z)). [para(4600(a,1),6380(a,1,2)),flip(a)]. 7147 K(R(T(x,T(y,z)),u,w),R(z,y,z)) = K(T(R(x,u,w),y * z),z). [hyper(189,a,6047,a(flip),b,7146,a)]. 7148 K(R(T(x,T(y,z)),u,w),R(z,y,z)) = K(R(T(x,y * z),u,w),z). [para(45(a,2),7147(a,2,1))]. 7149 K(R(T(x,T(y,z)),u,w),z) = K(R(T(x,y * z),u,w),z). [hyper(6480,a,7148,a)]. 7151 K(R(T(x,y * z),u,w),z) = K(R(T(x,y),u,w),z). [hyper(189,a,6401,a(flip),b,7149,a(flip))]. 7152 K(R(T(x,y * z),u,w),y) = K(R(T(x,z),u,w),y). [hyper(189,a,6661,a(flip),b,7151,a(flip)),flip(a)]. 7153 K((x * y) \ ((x * z) * y),x) = K(R(T(z,y),x,y),x). [hyper(3942,a,7152,a)]. 7154 T(T(T(x,y),z) * T(y,x),T(T(x,y),z)) = R(T(x,z),y,x) * T(y,x). [hyper(189,a,3538,a(flip),b,6439,a)]. 7155 K(x,((x \ 1) * (y * z)) / ((x \ 1) * z)) != u | K(x,L(y,z,x \ 1)) = u. [para(6814(a,1),6109(a,1))]. 7156 T(R(K(x,T(y,z)),z,u) \ 1,z * u) = K(y,((z / x) * u) \ (z * u)). [hyper(189,a,3871,a(flip),b,6887,a)]. 7157 T(R(K(T(x,y),z),y,u) * 1,y * u) = K(x,((y / z) * u) \ (y * u)). [para(5672(a,1),7156(a,1,1))]. 7158 T(R(K(x,T(y,z)),z,u) * 1,z * u) = K(x,((z / y) * u) \ (z * u)). [para(5380(a,1),7157(a,1,1,1,1))]. 7159 T(R(K(x,T(y,z)),z,u),z * u) = K(x,((z / y) * u) \ (z * u)). [para(15(a,1),7158(a,1,1))]. 7160 R(T(K(x,T(y,z)),z * u),z,u) = K(x,((z / y) * u) \ (z * u)). [hyper(5484,a,7159,a)]. 7161 K(x,((y / z) * u) \ (y * u)) = (y * u) \ ((y * K(x,z)) * u). [hyper(6058,a,7160,a),flip(a)]. 7162 K(((x / y) * z) \ (x * z),u) = K(y,((x / u) * z) \ (x * z)). [hyper(189,a,5608,a,b,7161,a),flip(a)]. 7163 T(x * K(y * R(x,z,u),x),y) = R(x,K(x,w) * y,R(x,z,u)). [para(6232(a,1),6904(a,1,1,2))]. 7164 R(x,K(x,y) * z,R(x,u,w)) = R(x,z,R(x,u,w)). [hyper(189,a,4654,a(flip),b,7163,a(flip))]. 7166 ((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(7164(a,1),5813(a,2,2,2,1,1))]. 7167 K(L(x,y \ z,y) \ 1,u \ (x * (y \ z))) = K(x \ 1,(y * (x \ u)) \ z). [hyper(4894,a,6974,a)]. 7168 K(x,y) * ((x \ 1) \ K(y,z)) = T((x \ 1) \ K(y,z),y). [para(17(a,1),6345(a,1,1)),flip(a)]. 7170 (x \ 1) * ((K(y,z) \ u) * T((K(y,z) \ u) \ ((x \ 1) \ u),y)) = ((x \ 1) * (K(x,y) * ((x \ 1) \ K(y,z)))) * (K(y,z) \ u). [para(7168(a,2),1159(a,2,1,2))]. 7171 K(L(x,y,z),u \ L(K(x,w),v5,v6)) = K(L(x,y,z),u \ 1). [hyper(189,a,4738,a(flip),b,6418,a)]. 7173 K(x \ y,x) * ((z / (x \ y)) * (x \ y)) = T(z / (y / x),K(y,x)) * (x \ y). [para(6118(a,1),6499(a,2,1))]. 7174 K(x * (y / (y / z)),T(z,x)) = K((y / (y / z)) * x,z). [para(3586(a,1),6586(a,1,2))]. 7175 K(x * (y / (y / z)),T(z,x)) = K(z * x,z). [hyper(189,a,6250,a(flip),b,7174,a)]. 7178 K(x * (y / (y / z)),T(z,x)) = K(x * z,z). [hyper(189,a,4617,a,b,7175,a)]. 7180 K(x,y) * ((y * R(x,z,R(x,u,w))) * x) = (R(x,z,R(x,u,w)) * y) * x. [para(160(a,1),6739(a,2,1))]. 7181 (R(x,y,R(x,z,u)) * w) * x = (x * w) * R(x,y,R(x,z,u)). [hyper(189,a,6729,a(flip),b,7180,a(flip))]. 7182 (K(x,y) * K(x * y,z)) * (y * x) = T(K(x,y) * (y * x),z). [para(4703(a,2),6823(a,1,1,1)),flip(a)]. 7183 (K(x,y) * K(x * y,z)) * (y * x) = T(x * y,z). [para(4373(a,1),7182(a,2,1))]. 7184 (x * y) \ T(y * x,z) = K(y,x) * K(y * x,z). [hyper(21,a,4950,a,b,7183,a),flip(a)]. 7185 K(x,T((K(x,y) * z) / u,w)) != v5 | K(x,T(z / u,w)) = v5. [para(6883(a,2),6733(a,1))]. 7186 (T(x \ y,x \ (z \ y)) \ 1) \ ((x \ y) \ 1) = K(x \ y,(z * x) \ y). [para(7022(a,1),6894(a,1,1))]. 7187 K(x \ y,(z * x) \ y) = K(x \ y,x \ (z \ y)). [hyper(4537,a,7186,a),flip(a)]. 7189 K(x,T(y,T(z \ (x * u),x) \ x)) = K(T(x * K(u \ z,x),x),y). [para(6363(a,1),6986(a,1,1,1,2)),flip(a)]. 7190 K(x,T(y,T(z \ (x * u),x) \ x)) = K(x * K(u \ z,x),y). [para(1497(a,1),7189(a,2,1))]. 7191 K(x,T(y,T(z \ (x * u),x) \ x)) != w | K(x,T(y,u \ z)) = w. [para(7190(a,2),6267(a,1))]. 7192 T(x / (y / z),K(y,z)) * (z \ y) = K(z \ y,z) * x. [para(19(a,1),7173(a,1,2)),flip(a)]. 7193 T((x / (y / z)) * (z \ y),K(y,z)) = K(z \ y,z) * x. [hyper(189,a,6717,a,b,7192,a(flip)),flip(a)]. 7195 T(x * K(y \ z,y),K(z,y)) = K(y \ z,y) * x. [para(5463(a,1),7193(a,1,1))]. 7196 T(x * (y * K(z \ x,z)),K(x,z)) = x * (K(z \ x,z) * y). [para(7195(a,1),6727(a,2,2))]. 7197 T(x,R(x,y,z) * u) \ (x * K(x,u)) = L(x,u,R(x,y,z)) \ x. [para(6588(a,1),6793(a,1,2,2))]. 7198 K(R(x,y,z) * u,x) * K(x,u) = L(x,u,R(x,y,z)) \ x. [hyper(4587,a,7197,a)]. 7200 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(45(a,2),6888(a,1,1,2))]. 7201 K(x,L(x \ (y \ z),x,z / (z / y))) = K(x,y \ (x \ z)). [hyper(189,a,7027,a(flip),b,7014,a)]. 7202 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(6118(a,1),7200(a,1,2))]. 7203 T((x * (y * K(T(z,u),y))) / x,u) = K(z,y * K(x,y)) * T(y * K(x,y),u). [para(6734(a,1),6293(a,1,1))]. 7204 K(x,y * K(z,y)) * T(y * K(z,y),u) = (z * (K(x,y) * T(y,u))) / z. [hyper(189,a,6291,a(flip),b,7203,a(flip))]. 7205 K(T(x,y),z) * T(z * K(y,z),u) = (y * (K(x,z) * T(z,u))) / y. [para(6047(a,1),7204(a,1,1))]. 7206 K(T(x,y),z) * T((y * z) / y,u) = (y * (K(x,z) * T(z,u))) / y. [para(4375(a,2),7205(a,1,2,1))]. 7207 (x * (T(y,z) * K(u,T(y,T(u,w))))) / x = K(T(u,x),y) * T((x * y) / x,z). [para(5352(a,2),7206(a,2,1,2)),flip(a)]. 7208 (x * (T(y,T(z,x)) * K(z,T(y,T(z,u))))) / x = y * K(x,T(y,T(z,x))). [hyper(189,a,4735,a(flip),b,7207,a)]. 7209 (x * (T(y,T(z,x)) * K(z,T(y,T(z,u))))) / x = y * K(x,T(y,z)). [para(6327(a,1),7208(a,2,2))]. 7210 (x * (T(y,T(z,x)) * K(z,y))) / x = y * K(x,T(y,z)). [para(5341(a,1),7209(a,1,1,2,2))]. 7211 (T(x,y) * T(y,T(x,z))) / x = y * K(x,T(y,z)). [para(6683(a,1),7210(a,1,1))]. 7212 T(T(x,y),y) * T(y,T(x,z)) = x * (y * K(x,T(y,z))). [para(7211(a,1),5850(a,2,2))]. 7213 T(T(x,y),y) * T(y,T(x,z)) = T(x,T(y,z)) * y. [hyper(189,a,6127,a(flip),b,7212,a)]. 7214 (T(x,T(y,z)) * y) / K(x,y) = T(x,y) * T(y,T(x,z)). [para(7213(a,1),5832(a,1,1))]. 7215 T(x,y) * T(y,T(x,z)) = y * T(x,T(y,z)). [hyper(189,a,5408,a(flip),b,7214,a(flip))]. 7216 x * T(y * K(x,y),T(x,z)) = y * T(x,T(y,z)). [hyper(189,a,5377,a,b,7215,a(flip)),flip(a)]. 7217 T(x * K(y,T(x,z)),y) = T(x * K(y,x),T(y,z)). [hyper(147,a,5132,a,b,7216,a)]. 7218 x * T(y,T(x,z)) = y * T(x,K(y,z)). [para(6322(a,1),7216(a,1,2)),flip(a)]. 7219 x \ T(y * x,K(y,z)) = T(y,T(x,z)). [hyper(75,a,6727,a,b,7218,a)]. 7220 x \ T(y * x,K(y,z)) = T(T(y,x),K(x,z)). [hyper(189,a,6323,a,b,7219,a)]. 7221 x \ T(y * x,K(y,z)) != u | T(y,T(x,z)) = u. [para(7220(a,2),6331(a,1))]. 7222 T(x * K(y \ z,x),T(y \ z,z)) = T(x * K(z / y,x),y \ z). [para(6029(a,1),7217(a,1,1,2)),flip(a)]. 7223 T(x * K(y \ z,x),T(y \ z,y)) = T(x * K(z / y,x),y \ z). [para(6033(a,1),7217(a,1,1,2)),flip(a)]. 7224 T(x * K(y / z,x),z \ y) = T(x,K(z \ y,y)). [hyper(6325,a,7222,a),flip(a)]. 7225 T(x * K(y / z,x),z \ y) = T(x * K(z,x),T(z,y)). [hyper(189,a,6708,a(flip),b,7223,a(flip))]. 7226 T(x * K(y \ z,x),T(y \ z,z)) = T(x * K(y,x),T(y,z)). [hyper(189,a,7222,a,b,7225,a(flip)),flip(a)]. 7227 T(x,y * ((z * (y \ z)) / z)) = K(x,z) * T(x * K(y,x),T(y,z)). [para(7226(a,1),6684(a,1,2)),flip(a)]. 7228 T(x,y * ((z * (y \ z)) / z)) = T(x,T(z,y)). [hyper(189,a,6682,a(flip),b,7227,a)]. 7229 T(x,T(y,z \ y)) = T(x,T(y,z)). [para(3330(a,1),7228(a,1,2))]. 7230 T(x,T(y,z \ 1)) = T(x,T(y,z)). [hyper(189,a,6709,a,b,7229,a(flip)),flip(a)]. 7231 T(x,T(y,z \ 1)) = x * K(x,T(y,z)). [hyper(189,a,4396,a(flip),b,7230,a)]. 7232 T(x * y,T(z,y)) = T(x * y,T(z,x)). [hyper(189,a,6392,a(flip),b,7230,a(flip))]. 7233 T(K(x,y),z \ 1) = K(x,T(y,z)). [hyper(5372,a,7231,a)]. 7234 K(x,T(y,z \ 1)) = K(x,T(y,z)). [hyper(4436,a,7231,a)]. 7235 K(x,y) * K(x,K(y,z)) = T(K(x,y),z \ 1). [hyper(189,a,6012,a,b,7233,a),flip(a)]. 7236 K(x,T(y,z \ y)) = K(x,T(y,z)). [hyper(5497,a,7234,a)]. 7237 K(x * y,T(z,y)) = K(x * y,T(z,x)). [hyper(189,a,5423,a(flip),b,7234,a(flip)),flip(a)]. 7238 K(x,T(y,z \ x)) = K(x,T(y,z)). [hyper(189,a,5422,a(flip),b,7234,a(flip)),flip(a)]. 7239 K(x,T(y,z \ u)) = K(x,T(y,u \ z)). [para(5471(a,1),7234(a,1,2))]. 7240 K((x \ y) / z,T(y,x)) = K(z \ (x \ y),y). [hyper(6106,a,7236,a),flip(a)]. 7241 T(T(x,y) * z,T(x,z)) = T(T(x,y) * z,x). [para(171(a,1),7232(a,2,2))]. 7242 T(x * L(L(y,z,u),w,v5),T(y,x)) = T(x * L(L(y,z,u),w,v5),y). [para(750(a,1),7232(a,1,2)),flip(a)]. 7243 K(x * R(y,z,u),T(y,x)) = K(x * R(y,z,u),y). [para(668(a,1),7237(a,1,2)),flip(a)]. 7244 K(R(x,y,z) * u,T(x,u)) = K(R(x,y,z) * u,x). [para(668(a,1),7237(a,2,2))]. 7245 K(x,T(y,z \ x)) != u | K(x,T(y,z)) = u. [para(7239(a,1),5494(a,1))]. 7246 K(x,T(y,z \ 1)) != u | K(x,T(y,z)) = u. [para(5422(a,2),7245(a,1))]. 7247 K(x,T(y,z \ u)) != w | K(x,T(y,u \ z)) = w. [para(5477(a,1),7245(a,1))]. 7248 K(x,T(T(y,z),u \ y)) != w | K(x,T(T(y,z),u)) = w. [para(6559(a,1),7246(a,1))]. 7249 K(x,K(y,z \ 1)) = K(x,K(y,z)). [hyper(20,a,5958,a,b,7235,a),flip(a)]. 7250 K(x \ 1,K(y,z)) = K(y,K(z,x)). [hyper(6098,a,7235,a(flip))]. 7251 K(x,K(y,z \ 1)) = K(x,K(z,y)). [hyper(189,a,5983,a,b,7249,a)]. 7252 R(K(x,K(y,z \ 1)),u,w) = K(x,K(y,R(z,u,w))). [hyper(189,a,6460,a,b,7249,a(flip)),flip(a)]. 7253 K(x,K(y,z \ K(u,w))) = K(x,K(y,K(w,u) * z)). [para(5268(a,1),7249(a,1,2))]. 7254 K(K(x,y) * z,z) = K(x,K(y,z)). [hyper(6915,a,7250,a)]. 7255 K(x \ 1,K(y,z)) = K(y,K(x,z)). [hyper(189,a,5983,a,b,7250,a)]. 7256 L(K(x \ 1,K(y,z)),u,w) = K(y,K(z,L(x,u,w))). [hyper(189,a,4824,a,b,7250,a(flip)),flip(a)]. 7257 K(x,K(y,z \ 1)) != u | K(x,K(y,z)) = u. [para(7251(a,2),5991(a,1))]. 7258 (x * (K(y,z) * x)) * K(y,K(z,x)) != x * u | T(K(y,z) * x,x) = u. [para(7254(a,1),294(a,1,2))]. 7260 K(x,K(y,z / (u * z))) != w | K(x,K(y,u)) = w. [para(4776(a,2),7257(a,1,2))]. 7261 K(x,K(y,z \ u)) != w | K(x,K(y,u \ z)) = w. [para(5258(a,1),7257(a,1,2))]. 7262 K((x \ R(y,z,u)) / w,R(T(y,x),z,u)) = K(w \ (x \ R(y,z,u)),R(y,z,u)). [para(45(a,2),7240(a,1,2))]. 7263 R(T(x,y),z,x) * T(z,x) = T(T(x,y) * z,x). [hyper(189,a,5848,a,b,7241,a(flip)),flip(a)]. 7264 K(x,T(y,(z \ u) \ x)) != w | K(x,T(y,u \ z)) = w. [para(7238(a,2),7247(a,1))]. 7265 T(T(T(x,y),z) * T(y,x),T(T(x,y),z)) = T(T(x,z) * y,x). [hyper(189,a,7154,a,b,7263,a(flip)),flip(a)]. 7266 T(x,y) * K(y * R(x,z,u),x) = R(x,y,R(x,z,u)). [para(7243(a,1),4504(a,1,2))]. 7267 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(7243(a,2),5976(a,2,1))]. 7268 R(K(x,K(y,z)),u,w) = K(x,K(y,R(z,u,w))). [para(7249(a,1),7252(a,1,1))]. 7269 R(K(x,K(y,z)),u,w) = K(x,K(z,R(y,u,w))). [para(7251(a,1),7252(a,1,1))]. 7270 K(x,K(y,R(z,y,u))) = K(x,K(y,z)). [hyper(189,a,6459,a(flip),b,7268,a(flip))]. 7271 K(x,K(y,R(z,u,w))) = K(x,K(z,R(y,u,w))). [hyper(189,a,7268,a(flip),b,7269,a(flip))]. 7272 K(x,R(K(y,z),u,w)) = K(x,K(z,R(y,u,w))). [hyper(189,a,6458,a(flip),b,7269,a(flip)),flip(a)]. 7273 K(x,K(y,R(x \ z,u,w))) = K(x,K(z,R(y,u,w))). [hyper(6266,a,7271,a),flip(a)]. 7274 K(R(K(x,y),z,u),w) = K(y,K(w,R(x,z,u))). [hyper(189,a,6456,a,b,7272,a(flip)),flip(a)]. 7275 K(x,K(y,R(x,z,u))) = 1. [hyper(189,a,2667,a(flip),b,7272,a(flip))]. 7276 T(x,K(y,R(x,z,u))) = x. [hyper(40,a,7275,a)]. 7277 T(T(x,y),K(z,R(x,u,w))) = T(x,y). [para(7276(a,1),41(a,1,1)),flip(a)]. 7278 K(x * R(T(y,z),u,w),T(y,v5)) = K(x * R(y,u,w),T(y,v5)). [para(7277(a,1),7202(a,1,2))]. 7279 K(x,K(y,K(z,u) * w)) * y = T(y,K(x,w \ K(u,z))). [para(7253(a,1),5971(a,1,1))]. 7280 L(K(x,K(y,z)),u,w) = K(x,K(z,L(y,u,w))). [para(7255(a,1),7256(a,1,1))]. 7281 L(K(x,K(y,z)),u,w) = K(y,K(z,L(x,u,w))). [para(5966(a,1),7280(a,1,1))]. 7282 K(x,K(y,L(z,u,w))) = K(z,K(y,L(x,u,w))). [hyper(189,a,7280,a(flip),b,7281,a(flip))]. 7283 K(L(K(x,y),z,u),w) = K(y,K(w,L(x,z,u))). [hyper(189,a,6454,a(flip),b,7281,a(flip)),flip(a)]. 7284 K(x,K(y \ z,L(y,u,w))) = K(y,K(z,L(x,u,w))). [hyper(6266,a,7282,a),flip(a)]. 7285 K(L(K(x,y),z,u),w) = K(w,K(y,L(x,z,u))). [hyper(189,a,5966,a,b,7283,a)]. 7286 K(x,L(K(y,z),u,w)) = K(x,K(z,L(y,u,w))). [hyper(189,a,6461,a(flip),b,7283,a(flip)),flip(a)]. 7287 x * K(L(K(y,z),u,w),x) = T(x,K(z,L(y,u,w))). [para(7283(a,2),5970(a,1,2))]. 7288 K(L(K(x,x \ y),z,u),w) = K(x,K(y,L(w,z,u))). [hyper(189,a,7285,a,b,7284,a(flip)),flip(a)]. 7289 T(x,L(K(y,z),u,w)) = T(x,K(z,L(y,u,w))). [hyper(6370,a,7287,a)]. 7290 L(K(x,y),z / K(x,y),u) \ (u * z) = T(u * (z * K(y,x)),K(y,L(x,z,u))). [hyper(189,a,6623,a,b,7289,a(flip)),flip(a)]. 7291 K(x * R(y,z,u),y) * K(y,x) = y \ R(y,x,R(y,z,u)). [hyper(75,a,7266,a(flip),b,4545,a),flip(a)]. 7292 T(x,y) * (K(y * R(x,z,u),x) * w) = R(x,y,R(x,z,u)) * w. [para(7266(a,1),3837(a,1,1)),flip(a)]. 7293 T(x,K(y,z \ K(u,w))) = T(x,K(y,K(w,u) * z)). [hyper(5973,a,7279,a),flip(a)]. 7294 T(x,K(y,z \ K(u,y))) = T(x,K(y,z)). [para(6179(a,1),7293(a,2,2))]. 7295 T(x,K(y,z \ 1)) = T(x,K(y,z)). [para(123(a,1),7294(a,1,2,2,2))]. 7296 T(x,K(y,z \ 1)) = T(x,K(z,y)). [hyper(189,a,6118,a,b,7295,a)]. 7297 T(x,K(y,z \ u)) = T(x,K(y,u \ z)). [para(5258(a,1),7295(a,1,2))]. 7298 T(x,K(y \ z,u)) = T(x,K(u,z \ y)). [para(5258(a,1),7296(a,1,2)),flip(a)]. 7299 T(x,K(y,z \ x)) = T(x,K(y,z)). [hyper(6665,a,7297,a),flip(a)]. 7300 L(x,y,z) \ L(T(x,K(u,w)),y,z) = K(L(x,y,z),K(u,w \ x)). [para(7299(a,1),4397(a,1,2,1))]. 7301 T(x,K(y \ z,u)) != w | T(x,K(z \ y,u)) = w. [para(7298(a,2),6121(a,1))]. 7302 T(x,K(y \ z,z)) != u | T(x,K(z,y)) = u. [para(7298(a,2),6016(a,1))]. 7303 T(x * K(y / z,x),z \ y) = T(x,K(y,z)). [hyper(7302,a,7224,a(flip)),flip(a)]. 7304 T(T(x,K(y,z)),y / z) = T(x,z \ y). [para(7303(a,1),4420(a,1,1))]. 7305 T(K(x,y) * z,x / z) = T(K(x,y) * z,z \ x). [para(6185(a,1),7304(a,1,1))]. 7306 K(x,y) * T(K(y,x) * z,y / z) = T(z,z \ T(y,x)). [para(7305(a,2),6851(a,1,2))]. 7307 T(x * K(y,z),y / x) * K(z,y) = T(x,x \ T(y,z)). [hyper(3957,a,7306,a)]. 7308 T(x,x \ T(y,z)) * K(y,z) = T(x * K(y,z),y / x). [hyper(3929,a,7307,a)]. 7309 (x / y) * T(x * (y / x),z) = T(x * K(y,z),y / x). [hyper(189,a,5172,a(flip),b,7308,a(flip)),flip(a)]. 7310 T(x * K(y * x,z),(y * x) / x) = (x / (y * x)) * T(x * y,z). [para(18(a,1),7309(a,1,2,1,2)),flip(a)]. 7311 R(x * (y * R(x,z,u)),K(y * R(x,z,u),x),K(x,y)) \ (((y * R(x,z,u)) * x) * K(x,y)) = x \ R(x,y,R(x,z,u)). [hyper(189,a,399,a,b,7291,a(flip)),flip(a)]. 7312 K(R(x,y,z) * u,T(x,u)) * K(T(x,u),u) = T(x,u) \ R(T(x,u),u,R(T(x,u),y,z)). [para(160(a,1),7291(a,1,1,1))]. 7313 K((T(T(x,y),z) * T(y,x)) \ u,T(x,y)) = K(T(T(x,z) * y,x) \ u,T(x,y)). [para(7265(a,1),6414(a,1,1,1)),flip(a)]. 7314 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(7278(a,1),4654(a,1,1,2))]. 7316 K(L(x,y,z),K(u,w \ x)) = K(L(x,y,z),K(u,w)). [hyper(4513,a,7300,a),flip(a)]. 7317 K(L(x,y,z),K(u,w \ x)) = K(u,K(w,L(x,y,z))). [hyper(189,a,5969,a,b,7316,a)]. 7318 T(x,K(y \ z,L(z,u,w))) = (K(x,K(y,L(z,u,w))) * v5) / (x \ v5). [para(7317(a,1),5986(a,1,1,1)),flip(a)]. 7319 (x / (y * x)) * T(x * y,z) = T(x * K(y * x,z),y). [para(18(a,1),7310(a,1,2)),flip(a)]. 7320 T(x,K(y \ z,L(z,u,w))) = T(x,K(y,L(z,u,w))). [hyper(189,a,4550,a(flip),b,7318,a)]. 7321 T(x,K(y \ z,L(y,u,w))) = T(x,K(z,L(y,u,w))). [hyper(7301,a,7320,a)]. 7322 T(K(x,y) * z,z) = z * K(x,y). [hyper(7258,a,6607,a)]. 7324 T(x * K(x / y,z),x) = x * K(y \ x,z). [para(6063(a,1),7322(a,1,1))]. 7325 (x \ (x * K(y \ x,z))) \ (x * K(x / y,z)) = L(x,K(y \ x,z),x). [para(7322(a,1),7133(a,1,1,2))]. 7326 K(x / T(y,x),z) = K(y \ x,z). [hyper(7126,a,7324,a)]. 7328 K((x \ 1) \ y,z) = K(x * y,z). [para(4240(a,1),7326(a,1,1)),flip(a)]. 7331 K(x \ y,z) \ (y * K(y / x,z)) = L(y,K(x \ y,z),y). [para(16(a,1),7325(a,1,1))]. 7332 L(x,K(y \ x,z),x) = x. [hyper(6129,a,7331,a)]. 7334 L(x,K(y,z),x) = x. [para(69(a,1),7332(a,1,2,1))]. 7337 (1 / x) \ K(y,z) = x * K(y,z). [para(7334(a,1),4261(a,1,1)),flip(a)]. 7338 (1 / x) * (x * K(y,z)) = K(y,z). [para(7337(a,1),17(a,1,2))]. 7339 (1 / x) \ K(y,z) != x * u | K(y,z) = u. [para(7337(a,2),22(a,1))]. 7341 (x \ 1) * K(y,z) = x \ K(y,z). [para(67(a,1),7337(a,1,1)),flip(a)]. 7342 L(K(x,y),z \ 1,z) = K(x,y). [hyper(4218,a,7338,a)]. 7343 L(K(x,y),z,z \ 1) = K(x,y). [hyper(2390,a,7338,a)]. 7344 (1 / x) \ K(y,z) != u | x * K(y,z) = u. [para(7338(a,1),237(a,1,2)),flip(b)]. 7345 K((x * y) \ 1,z) = K(y \ (x \ 1),z). [hyper(189,a,5528,a(flip),b,7342,a(flip)),flip(a)]. 7347 K(x,y) * (1 / z) = K(x,y) / z. [para(7343(a,1),4216(a,1,1))]. 7350 (x \ K(y,z)) \ (x \ 1) = K(z,y). [para(7341(a,1),3918(a,1,1))]. 7352 1 / (x \ K(y,z)) = K(y,z) \ x. [hyper(75,a,67,a(flip),b,7347,a),flip(a)]. 7353 (K(x,y) / z) \ 1 = z * K(y,x). [para(7350(a,1),223(a,1,2)),flip(a)]. 7354 (K(x,y) \ z) \ 1 = z \ K(x,y). [para(7352(a,1),69(a,1,1))]. 7356 1 / (x * K(y,z)) = K(z,y) / x. [para(7353(a,1),67(a,1,2))]. 7358 (K(x,y) * z) \ 1 = z \ K(y,x). [para(3889(a,1),7354(a,1,1))]. 7359 T(x,y * (((z * K(u,w)) \ 1) \ v5)) = T(x,y * ((K(w,u) / z) \ v5)). [para(7356(a,1),4135(a,1,2,2,1)),flip(a)]. 7360 K((x * (y \ 1)) \ 1,z) = K(y * (x \ 1),z). [hyper(189,a,7328,a(flip),b,7345,a)]. 7363 K((x \ 1) * (y \ 1),z) = K((y * x) \ 1,z). [hyper(189,a,5571,a(flip),b,7360,a(flip))]. 7364 K(x * (((x \ y) \ 1) \ 1),z) / (x \ T(y,z)) = 1 / (x \ y). [para(7360(a,1),5717(a,1,1))]. 7365 K(((x \ 1) * y) \ 1,z) = K((y \ 1) * x,z). [hyper(189,a,5561,a(flip),b,7363,a(flip))]. 7366 T(x,y) / ((1 / z) \ x) = K((z \ 1) * ((z \ 1) \ x),y) / z. [para(7365(a,1),5638(a,2,1))]. 7367 K(x,y) / (z \ T(x,y)) = 1 / (z \ x). [para(5565(a,1),7364(a,1,1))]. 7368 (1 / (x \ y)) \ K(y,z) = x \ T(y,z). [para(7367(a,1),69(a,1,1))]. 7370 (x \ y) * K(y,z) = x \ T(y,z). [hyper(7344,a,7368,a)]. 7371 (x / y) \ T(x,z) = y * K(x,z). [hyper(455,a,7370,a),flip(a)]. 7373 T(x,y) * K(x * y,z) = y \ T(x * y,z). [para(35(a,2),7370(a,1,1))]. 7375 (x \ T(y,z)) * K(z,y) != u | x \ y = u. [para(7370(a,1),3921(a,1,1)),flip(b)]. 7377 (x / y) * (y * K(x,z)) = T(x,z). [para(7371(a,1),17(a,1,2))]. 7378 (x \ y) / (z * K(y / x,x)) = (y / x) / z. [hyper(76,a,115,a(flip),b,7377,a)]. 7380 T(x,y) = (x / (y * x)) * (x * y). [para(95(a,1),7377(a,1,2)),flip(a)]. 7381 T(x,y) / (x * y) = R(1 / y,y,x). [hyper(76,a,7380,a,b,285,a)]. 7382 (x / (y * x)) * T(x * y,z) = T(x,y) * K(x * y,z). [para(7380(a,2),5139(a,1,1)),flip(a)]. 7383 R(1 / x,x,T(y,x)) = R(1 / x,x,y). [hyper(538,a,7381,a)]. 7384 (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(7381(a,1),1724(a,1,1)),flip(a)]. 7385 R(1 / x,x,y / x) = R(1 / x,x,x \ y). [para(115(a,1),7383(a,1,3)),flip(a)]. 7386 (1 / (x \ T(y,z))) \ K(z,y) = x \ y. [hyper(7375,a,7337,a(flip)),flip(a)]. 7388 (T(x,y) / z) \ x = (1 / z) \ K(y,x). [para(69(a,1),7386(a,1,1,2)),flip(a)]. 7389 K(x,(1 / (y \ T(L(L(x,z,u),w,v5),v6))) \ K(v6,L(L(x,z,u),w,v5))) = K(x,L(L(x,z,u),w,v5) / y). [para(7386(a,2),5411(a,2,2)),flip(a)]. 7390 T(x,y) * K(z,K(u,x * y)) = y \ T(x * y,K(z,u)). [para(5969(a,2),7373(a,1,2))]. 7391 (x \ y) / (z * K(x \ y,x)) = (y / x) / z. [para(3896(a,1),7378(a,1,2,2))]. 7392 R(1 / x,x,x \ y) \ (y / x) = x * (y / x). [para(7385(a,1),290(a,1,1))]. 7393 (x \ y) / (z / T(x,x \ y)) = (y / x) / (z / x). [para(5178(a,1),7391(a,1,2))]. 7394 ((x \ y) / y) * (x * (y / x)) = y / x. [para(7392(a,1),609(a,1,2))]. 7395 K(x,(y * (z / y)) / ((z / y) * x)) = K(x,((y \ z) / z) \ (x \ 1)). [para(7394(a,1),6758(a,1,2,2,1))]. 7396 (x \ y) / (1 / T(x,x \ y)) = L(y,x,x \ 1). [hyper(189,a,4215,a(flip),b,7393,a)]. 7397 L(x,y,y \ 1) != z | (y \ 1) \ (y \ x) = z. [para(7396(a,1),4288(a,1))]. 7398 T(x * K(y * x,z),y) = T(x,y) * K(x * y,z). [hyper(189,a,7319,a(flip),b,7382,a(flip)),flip(a)]. 7399 K(x,y * z) * T(y * K(z * y,x),z) = T(T(y,z),K(x,y * z)). [para(7398(a,2),6122(a,1,2))]. 7400 T(x,y) / ((1 / z) \ x) = K(x,y) / z. [para(17(a,1),7366(a,2,1,1))]. 7401 T(x,y) / ((1 / y) \ x) = 1 / T(y,x). [hyper(189,a,4362,a(flip),b,7400,a)]. 7402 T(x,y * L(y \ 1,y,z)) / ((1 / (y * L(y \ 1,y,z))) \ x) = 1 / (y * ((z * y) \ z)). [para(5810(a,1),7401(a,2,2))]. 7403 T(x,y * ((K(z,z \ 1) / u) \ w)) = T(x,y * ((u \ K(z,z \ 1)) \ w)). [para(3246(a,1),7359(a,1,2,2,1)),flip(a)]. 7404 K(x,(y * (z / y)) / ((z / y) * x)) = K(x,z / ((y \ z) * x)). [hyper(189,a,6761,a(flip),b,7395,a)]. 7405 K(x,R(x \ y,x,z / y)) = K(x,z / ((y \ z) * x)). [hyper(189,a,6762,a,b,7404,a(flip)),flip(a)]. 7406 K(x,R(x \ (y / z),x,y / (y / z))) = K(x,y / (z * x)). [para(69(a,1),7405(a,2,2,2,1))]. 7407 K(x,y * z) * T(y * K(z * y,x),z) = T(T(y,K(z,x)),z). [hyper(189,a,6670,a(flip),b,7399,a)]. 7408 K(x,y * z) * T(y * K(z * y,x),z) = T(y,T(z,x)). [hyper(189,a,6321,a(flip),b,7407,a)]. 7409 T(x,(K(y \ 1,y) * z) * ((u \ 1) \ w)) = T(x,z * ((u \ K(y,y \ 1)) \ w)). [hyper(189,a,5740,a,b,7403,a(flip)),flip(a)]. 7410 T(T(x * K(y * R(x,z,u),x),w),y) = R(T(x,w),y,R(T(x,w),z,u)). [para(4653(a,1),7314(a,1,1))]. 7411 R(T(x,y),z,R(T(x,y),u,w)) = R(T(x,y),z,R(x,u,w)). [hyper(189,a,5651,a(flip),b,7410,a(flip))]. 7412 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(7411(a,1),7292(a,2,1))]. 7413 K((T(x,y) \ R(x,z,u)) / w,R(x,z,u)) = K(w \ (T(x,y) \ R(x,z,u)),R(x,z,u)). [para(171(a,1),7262(a,1,2,1))]. 7414 L(K(x,x \ y),z / K(x,x \ y),u) \ (u * z) = T(u * (z * K(x \ y,x)),K(y,L(x,z,u))). [hyper(189,a,7321,a(flip),b,7290,a)]. 7415 K((T(T(x,y),z) * T(y,x)) \ u,T(x,y)) = K((T(x,z) * y) \ u,T(x,y)). [hyper(189,a,6244,a(flip),b,7313,a)]. 7416 K((T(T(x,y),z) * T(y,x)) \ u,T(x,y)) = K(u / (T(x,z) * y),x). [hyper(189,a,6830,a(flip),b,7415,a)]. 7417 K(T(x,y) \ (T(y,x) \ z),T(y,x)) = K(z / (T(y,u) * x),y). [hyper(189,a,7004,a(flip),b,7416,a(flip)),flip(a)]. 7419 K(T(x,y) \ (y \ z),T(y,x)) = K(z / (T(y,u) * x),y). [hyper(189,a,6571,a(flip),b,7417,a(flip)),flip(a)]. 7420 K(x / (T(y,z) * u),y) = K((y \ x) / u,y). [hyper(6332,a,7419,a),flip(a)]. 7422 K(x / (T(y,z) * u),y) = K(x / (u * y),y). [hyper(6451,a,7420,a(flip)),flip(a)]. 7423 K((x \ y) / z,x) = K(y / (x * z),x). [para(112(a,1),7420(a,1,1,2,1)),flip(a)]. 7424 K(x / (y * z),y) != u | K(x / (z * y),y) = u. [para(7423(a,1),6451(a,1))]. 7425 K((T(x,y) \ z) / u,x) = K(z / (u * x),x). [hyper(189,a,7024,a,b,7422,a(flip)),flip(a)]. 7427 T(x,K(y \ 1,y) * (z * ((u \ 1) \ w))) = T(x,z * ((u \ K(y,y \ 1)) \ w)). [para(3184(a,1),7409(a,1,2))]. 7428 T(x,y * ((z \ K(u,u \ 1)) \ w)) = T(x,y * ((z \ 1) \ w)). [hyper(189,a,4082,a(flip),b,7427,a(flip))]. 7430 K(x,y * ((z \ K(u,u \ 1)) \ w)) = x \ T(x,y * ((z \ 1) \ w)). [hyper(75,a,7428,a(flip),b,4396,a(flip)),flip(a)]. 7431 K(x,y * ((z \ K(u,u \ 1)) \ w)) = K(x,y * ((z \ 1) \ w)). [hyper(189,a,4360,a,b,7430,a)]. 7432 K(x,y * ((1 / z) \ u)) = K(x,y * ((z \ 1) \ u)). [para(1537(a,1),7431(a,1,2,2,1))]. 7433 K(x,(y \ 1) * ((1 / y) \ z)) = K(x,z). [para(17(a,1),7432(a,2,2))]. 7434 K(x,K(y \ 1,y) * z) = K(x,z). [para(2405(a,1),7433(a,1,2))]. 7435 K(x,((y \ 1) \ 1) \ z) = K(x,y \ z). [para(2445(a,1),7434(a,1,2))]. 7436 K(x,y * K(z,z \ 1)) = K(x,y). [para(2481(a,1),7434(a,1,2)),flip(a)]. 7437 K(x,(y \ L(y * (z / y),u,w)) * y) = K(x,L(z * K(y,y \ 1),u,w)). [para(2955(a,1),7434(a,1,2))]. 7438 K(x,(K(y \ 1,y) * z) / u) = K(x,z / u). [para(3185(a,2),7434(a,1,2))]. 7439 K(x,y \ ((z \ 1) \ 1)) = K(x,y \ z). [para(3450(a,1),7434(a,1,2)),flip(a)]. 7440 K(x,(K(y,y \ 1) * z) \ u) = K(x,z \ u). [para(4121(a,2),7434(a,1,2))]. 7441 K(x,y / (K(z,z \ 1) * u)) = K(x,y / u). [para(4143(a,2),7434(a,1,2))]. 7442 K(x,y \ (K(z,z \ 1) * u)) = K(x,y \ u). [para(4128(a,2),7436(a,1,2))]. 7443 K(x \ 1,y / (z * (x \ 1))) = K(x \ 1,(z / y) \ x). [hyper(189,a,6761,a(flip),b,7439,a(flip)),flip(a)]. 7444 K(x \ 1,R(y * (x \ 1),z,u) \ 1) = R(K(x \ 1,y \ x),z,u). [para(7439(a,1),5671(a,1,1)),flip(a)]. 7446 K(x,(y * (1 / z)) / u) = K(x,(y * (z \ 1)) / u). [para(2446(a,1),7438(a,1,2,1)),flip(a)]. 7447 K(x,(K(y \ 1,y) * z) \ u) = K(x,z \ u). [para(1538(a,1),7440(a,1,2,1,1))]. 7448 K(x,(y * (1 / z)) \ u) = K(x,(y * (z \ 1)) \ u). [para(2416(a,1),7440(a,1,2,1))]. 7449 K(x,y / (K(z \ 1,z) * u)) = K(x,y / u). [para(1538(a,1),7441(a,1,2,2,1))]. 7450 K(x,y / (z * (u / ((w \ 1) \ 1)))) = K(x,y / (z * (u / w))). [para(4116(a,1),7441(a,1,2,2)),flip(a)]. 7451 K(x,y \ (((z \ 1) \ 1) * u)) = K(x,y \ (z * u)). [para(2365(a,1),7442(a,1,2,2))]. 7452 K(x,((((y \ 1) \ 1) * z) \ u) \ w) = K(x,((y * z) \ u) \ w). [para(4127(a,1),7447(a,1,2,1))]. 7453 K(x,L(K(y \ 1,y) * z,u,w) \ v5) = K(x,L(z,u,w) \ v5). [para(5064(a,2),7447(a,1,2,1))]. 7454 K(x,y / ((((z \ 1) \ 1) \ u) * w)) = K(x,y / ((z \ u) * w)). [para(3221(a,1),7449(a,1,2,2))]. 7455 K(x,y / ((z / (1 / u)) * w)) = K(x,y / ((z / (u \ 1)) * w)). [para(3222(a,1),7449(a,1,2,2))]. 7456 K(x,(y * ((z \ 1) \ 1)) / u) = K(x,(y * z) / u). [para(67(a,1),7446(a,1,2,1,2)),flip(a)]. 7457 K(x \ 1,y / (z * (x \ 1))) = K(x \ 1,(y * x) / z). [hyper(189,a,7119,a(flip),b,7456,a(flip)),flip(a)]. 7458 K(x \ 1,y / R(z,x,x \ 1)) = K(x \ 1,(y * x) / (z * x)). [para(369(a,1),7457(a,1,2,2))]. 7459 K(x,y / (z * (x / ((z \ 1) \ 1)))) = K(x,(z * (x / z)) \ y). [hyper(189,a,5417,a(flip),b,7450,a)]. 7460 K(x,L((1 / y) * z,u,w) \ v5) = K(x,L((y \ 1) * z,u,w) \ v5). [para(2378(a,1),7453(a,1,2,1,1)),flip(a)]. 7461 K(x,y / ((z / ((u \ 1) \ 1)) * w)) = K(x,y / ((z / u) * w)). [para(67(a,1),7455(a,1,2,2,1,2)),flip(a)]. 7462 K(x,(y * (x / y)) \ z) = K(x,x \ z). [hyper(189,a,5816,a(flip),b,7459,a(flip))]. 7463 K(x,x \ (y * x)) = K(x,K(z \ x,z) * y). [hyper(6862,a,7462,a),flip(a)]. 7465 K(x,K(y \ x,y) * z) = K(x,z). [hyper(3940,a,7463,a),flip(a)]. 7467 K(x * y,K(y,x) * z) = K(x * y,z). [para(16(a,1),7465(a,1,2,1,1))]. 7468 K(x,K(y,y \ x) * z) = K(x,z). [para(3887(a,1),7465(a,1,2)),flip(a)]. 7469 (K(x,K(y \ z,y)) * K(z,x)) \ (x * K(y \ z,y)) = T(K(y \ z,y) * x,z). [para(7465(a,1),5179(a,1,1,2))]. 7470 K(x,y) * ((K(z,z \ x) * y) * x) = x * (K(z,z \ x) * y). [para(7468(a,1),4373(a,1,1))]. 7471 T((K(x,y) * z) * K(y * x,z),y * x) = K(x,y) * z. [para(7467(a,1),4374(a,1,1,2))]. 7472 (K(x,y) * z) * T(y * x,z) = (y * x) * (K(x,y) * z). [para(7471(a,1),5133(a,1,2)),flip(a)]. 7473 T(x,y) * T(K(z,z \ x) * y,x) = x * (K(z,z \ x) * y). [hyper(4691,a,7470,a)]. 7474 T(x,K(y,y \ x) * z) = T(x,z). [hyper(3556,a,7473,a)]. 7475 R(K(x,x \ y),z,T(y,K(x,x \ y) * z)) = (y * (K(x,x \ y) * z)) / (z * T(y,z)). [para(7474(a,1),155(a,1,2,2)),flip(a)]. 7476 K(x \ 1,y / R(z,x,x \ 1)) = K(x \ 1,y / z). [hyper(189,a,6946,a(flip),b,7458,a)]. 7477 K(x \ 1,y / T(z * (x \ 1),x)) = K(x \ 1,y / (x \ z)). [para(521(a,1),7476(a,1,2,2))]. 7478 K(x \ 1,y / (z * (x \ 1))) = K(x \ 1,y / (x \ z)). [hyper(189,a,6940,a(flip),b,7477,a(flip)),flip(a)]. 7479 K(x \ 1,y / (x \ z)) = K(x \ 1,(z / y) \ x). [hyper(189,a,7443,a(flip),b,7478,a(flip))]. 7480 R(K(x \ 1,(y / (z / u)) \ x),z / u,u) = K(x \ 1,z / ((x \ y) * u)). [para(7479(a,1),5678(a,1,1))]. 7481 K(x \ 1,R(y * (x \ 1),z,u) \ 1) != w | K(R(x,z,u) \ 1,y \ x) = w. [para(7444(a,2),4937(a,1))]. 7482 K(1 / x,L((x \ 1) * y,z,u) \ 1) = K(L(x,z,u) \ 1,y \ x). [hyper(7026,a,7460,a),flip(a)]. 7483 K(x \ 1,L((x \ 1) * y,z,u) \ 1) = K(L(x,z,u) \ 1,y \ x). [hyper(4254,a,7482,a)]. 7484 K(x,x * (x \ L(x * (y / x),z,u))) = K(x,L(y * K(x,x \ 1),z,u)). [hyper(4577,a,7437,a)]. 7485 K(x,L(y * K(x,x \ 1),z,u)) = K(x,L(x * (y / x),z,u)). [para(17(a,1),7484(a,1,2)),flip(a)]. 7487 K(x,L(K(x,x \ 1) * y,z,u)) = K(x,L(x * (y / x),z,u)). [para(2502(a,2),7485(a,1,2,1))]. 7488 K(x,L(x \ ((x \ 1) \ y),z,u)) = K(x,L(x * (y / x),z,u)). [hyper(189,a,7009,a,b,7487,a(flip)),flip(a)]. 7489 K(x,L(x \ ((x \ 1) \ y),z,u)) = K(x,L(y,z,u)). [hyper(189,a,5120,a(flip),b,7488,a)]. 7490 K(x,y \ (x \ (y * ((x \ 1) \ z)))) = K(x,L(z,x,y)). [hyper(7008,a,7489,a)]. 7491 K(R(x,y / z,z) \ 1,(u / (y / z)) \ x) = K(x \ 1,y / ((x \ u) * z)). [hyper(4937,a,7480,a)]. 7492 (K(x,K(y,y \ z)) * K(z,x)) \ (x * K(y \ z,y)) = T(K(y \ z,y) * x,z). [para(5983(a,1),7469(a,1,1,1))]. 7493 (K(x,K(y,z)) * K(z,x)) \ (x * K(y \ z,y)) = T(K(y \ z,y) * x,z). [para(5995(a,1),7492(a,1,1,1))]. 7494 K(x,T(y,z)) \ (y * K(z \ x,z)) = T(K(z \ x,z) * y,x). [para(5978(a,1),7493(a,1,1))]. 7495 K(x,T(y,z)) * (x * K(z \ y,z)) = T(K(z \ y,z) * x,y). [hyper(5402,a,7494,a)]. 7496 T(x,T(y,z)) * K(z \ y,z) = T(K(z \ y,z) * x,y). [hyper(4564,a,7495,a)]. 7497 T(K(x \ y,x) * z,y) = K(x \ y,x) * T(z,y). [hyper(189,a,6905,a(flip),b,7496,a(flip))]. 7498 T(K(x \ (y * x),x) * z,y * x) = K(y,x) * T(z,y * x). [para(3895(a,1),7497(a,2,1))]. 7499 T(K(x,y) * z,x * y) = K(x,y) * T(z,x * y). [para(3895(a,1),7498(a,1,1,1))]. 7500 T(x * K(y,z),z * y) = T(x,z * y) * K(y,z). [hyper(4992,a,7499,a),flip(a)]. 7501 (x * (y * z)) \ ((y * z) * T(x * K(z,y),y * z)) = L(K(z,y),T(x,y * z),y * z). [para(7500(a,2),153(a,1,2,2))]. 7502 1 * ((x \ R(x,y,z)) / K(u,R(x,w,v5))) = K(R(x,w,v5),u) * (x \ R(x,y,z)). [para(190(a,1),6336(a,1,1))]. 7504 1 * ((x \ R(x,y,z)) * K(R(x,u,w),v5)) = K(R(x,u,w),v5) * (x \ R(x,y,z)). [para(3890(a,1),7502(a,1,2))]. 7505 K(R(x,y,z),u) * (x \ R(x,y,z)) = 1 * (x \ R(T(x,u),y,z)). [para(5715(a,1),7504(a,1,2)),flip(a)]. 7506 K(R(x,y,z),u) * (x \ R(x,y,z)) = x \ R(T(x,u),y,z). [hyper(189,a,14,a(flip),b,7505,a)]. 7507 K(x,R(y,z,u)) * (y \ R(T(y,x),z,u)) = y \ R(y,z,u). [hyper(3907,a,7506,a)]. 7508 (x \ K(y,z)) * T((x \ K(y,z)) \ u,y) = x \ T(x * u,y). [para(17(a,1),6346(a,1,2,1)),flip(a)]. 7510 K(x,(y \ K(x,z)) \ u) = (y \ T(y * u,x)) \ u. [para(7508(a,1),5184(a,1,1)),flip(a)]. 7511 K(x,(y \ K(x,z)) \ u) = K(x,(y \ 1) \ u). [hyper(189,a,5243,a(flip),b,7510,a)]. 7512 K(x,((y \ 1) \ K(x,z)) \ u) = K(x,y \ u). [hyper(189,a,7435,a(flip),b,7511,a)]. 7513 K(x,((K(y,x) * (z \ 1)) \ 1) \ u) = K(x,z \ u). [para(7358(a,2),7512(a,1,2,1))]. 7514 K(x,(((y \ 1) * K(z,x)) \ 1) \ u) = K(x,y \ u). [para(6051(a,1),7513(a,1,2,1,1))]. 7515 K(x,((y * K(z,x)) \ 1) \ u) = K(x,(y \ 1) \ u). [hyper(189,a,7452,a(flip),b,7514,a(flip)),flip(a)]. 7516 K(x,((T(y,x) / z) \ 1) \ u) = K(x,((y / z) \ 1) \ u). [para(1097(a,1),7515(a,1,2,1,1))]. 7517 K(T(x,y * K(z * x,y)),T(u,x * z)) = K((x * K(x * z,x)) * K(x,y),u). [hyper(6268,a,6675,a)]. 7518 K(T(x,y * K(z * x,y)),T(u,z)) = K((x * K(x * z,x)) * K(x,y),u). [hyper(189,a,6453,a(flip),b,7517,a(flip)),flip(a)]. 7519 K((x * K(x * y,x)) * K(x,z),u) = K(x * K(T(x,y),z),T(u,y)). [hyper(189,a,6676,a(flip),b,7518,a(flip))]. 7520 K((x * K(x * y,x)) * K(x,z),u) = K(K(y,x) * T(x,z),u). [hyper(189,a,6404,a(flip),b,7519,a)]. 7521 K(T(x,y) * K(x * z,x),u) = K(K(z,x) * T(x,y),u). [para(4783(a,1),7520(a,1,1))]. 7522 K(K(x * y,x) * T(x,z),u) = K(K(y,x) * T(x,z),u). [para(2759(a,1),7521(a,1,1))]. 7523 K(K(x * y,x) * T(x,z),T(u,z)) = K(x,T(u,T(y,z))). [hyper(189,a,6658,a(flip),b,7522,a)]. 7524 K(x,T(y,T(x * z,u))) = K(x,T(y,T(z,u))). [hyper(6659,a,7523,a)]. 7525 K(x,T(x * y,T(y,z))) = K(x,x * y). [para(171(a,1),7524(a,1,2)),flip(a)]. 7526 K(x,T(x * T(y,z),y)) = K(x,x * T(y,z)). [para(6092(a,1),7525(a,1,2))]. 7527 K(T(x,y) \ z,T(z,T(x,z))) = K(T(x,y) \ z,(T(x,y) \ z) * T(x,y)). [hyper(189,a,4842,a(flip),b,7526,a(flip)),flip(a)]. 7528 K(T(x,y) \ z,T(z,T(x,z))) = K(T(x,y) \ z,T(x,y) * (T(x,y) \ z)). [hyper(189,a,4576,a,b,7527,a)]. 7529 K(T(x,y) \ z,T(z,T(x,z))) = K(T(x,y) \ z,z). [para(17(a,1),7528(a,2,2))]. 7530 K(T(x,y) \ z,T(z,x)) = K(T(x,y) \ z,z). [para(3521(a,1),7529(a,1,2))]. 7531 K(x,R(y,z,R(y,u,w))) = K(x,y). [hyper(20,a,7353,a(flip),b,6696,a)]. 7532 K(T(x,y),T(z,y)) = K(x,R(z,u,R(T(z,y),w,v5))). [hyper(6110,a,7531,a),flip(a)]. 7533 K(x,R(y,z,R(T(y,u),w,v5))) = K(x,y). [hyper(6101,a,7532,a),flip(a)]. 7535 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(7533(a,1),7507(a,1,1))]. 7536 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(4561,a,7535,a)]. 7537 K(x,y) * (y \ R(T(y,x),z,R(y,u,w))) = y \ R(y,z,R(T(y,x),u,w)). [para(7411(a,1),7535(a,1,2,2))]. 7538 R(x,y / x,z) \ R(T(x,T(u,y)),y / x,z) = K((y * z) / ((y / x) * z),u). [para(6389(a,1),6896(a,1,2,1))]. 7539 K(R(x,y / x,z),T(u,y)) = K((y * z) / ((y / x) * z),u). [hyper(4514,a,7538,a)]. 7540 K(R(x,y / x,z),u) = K((y * z) / ((y / x) * z),T(u,y)). [hyper(6079,a,7539,a)]. 7541 R(K((x / y) \ x,z),x,u) = K(R(y,x / y,u),z). [hyper(189,a,5762,a(flip),b,7540,a),flip(a)]. 7542 K(R(x,y / x,z),u) = R(K(x,u),y,z). [para(69(a,1),7541(a,1,1,1)),flip(a)]. 7543 R(K(x \ y,z),y,u) = K(R(x \ y,x,u),z). [para(67(a,1),7542(a,1,1,2)),flip(a)]. 7545 T(x * L(L(y,z,u),x,y),y * K(x,y)) = L(y * K(x,y),z,u) * T(x,y). [para(5055(a,1),6714(a,1,1))]. 7546 T(x * L(L(y,z,u),x,y),y * K(x,y)) = T(x,y) * L(y,z,u). [hyper(189,a,4508,a(flip),b,7545,a)]. 7547 T(x * L(L(y,x,y),z,u),y * K(x,y)) = T(x,y) * L(y,z,u). [para(48(a,1),7546(a,1,1,2))]. 7548 T(x * L(L(y,x,y),z,u),T(y,x)) = T(x,y) * L(y,z,u). [hyper(189,a,6093,a(flip),b,7547,a(flip)),flip(a)]. 7549 T(x * L(L(y,x,y),z,u),y) = T(x,y) * L(y,z,u). [hyper(189,a,7242,a(flip),b,7548,a(flip)),flip(a)]. 7550 K(x,L(L(x,y,x),z,u) / (y \ 1)) * (y \ (T(y,x) * L(x,z,u))) = L(L(x,y,x),z,u). [para(7549(a,1),4671(a,1,2,2))]. 7551 K(L(x,y * z,u),(x * y) \ (x * (y * z))) = K(x,L(L(z,y,x),x * y,u)). [para(16(a,1),6763(a,1,2,1))]. 7553 K(L(x,y * z,u),L(z,y,x)) = K(x,L(L(z,y,x),x * y,u)). [para(31(a,2),7551(a,1,2))]. 7554 K(L(x,y * z,u),z) = K(x,L(L(z,y,x),x * y,u)). [hyper(189,a,6779,a(flip),b,7553,a(flip)),flip(a)]. 7555 K(L(x,y * z,u),z) = K(x,L(z,x * y,u)). [hyper(189,a,6767,a(flip),b,7554,a)]. 7558 K(L(x,(x \ y) * z,u),z) = K(x,L(z,y,u)). [para(17(a,1),7555(a,2,2,2))]. 7559 K(x,L(y,x * (z / y),u)) = K(L(x,z,u),y). [para(19(a,1),7555(a,1,1,2)),flip(a)]. 7560 K(x,L(y,z,y)) = K(x,y). [hyper(189,a,6980,a(flip),b,7558,a(flip))]. 7561 K(x,y \ K(z,L(x,u,w))) = K(x,y \ 1). [para(7558(a,1),6182(a,1,2,2))]. 7562 T(x,L(y,z,y)) = x * K(x,y). [para(7560(a,1),4396(a,2,2))]. 7563 T(x,L(y,z,y)) = T(x,y). [hyper(189,a,4396,a,b,7562,a)]. 7564 T(x / L(y,z,y),y) = L(y,z,y) \ x. [hyper(307,a,7563,a),flip(a)]. 7565 T(x * L(y,x,y),L(y,z,y)) = T(x,y) * y. [hyper(189,a,3725,a(flip),b,7563,a)]. 7569 (x / L(y,z,y)) * y = y * (L(y,z,y) \ x). [para(7564(a,1),113(a,1,2)),flip(a)]. 7570 K(x,(T(L(x,y,z),u) \ w) \ 1) = K(x,w \ L(x,y,z)). [hyper(189,a,5593,a(flip),b,7561,a(flip))]. 7571 K(x,y \ K(z,L(L(x,u,w),v5,v6))) = K(x,y \ 1). [para(7558(a,1),7561(a,1,2,2))]. 7572 K(L(R(x,y,z),u,x),w) = K(R(x,y,z),w). [hyper(7025,a,7559,a),flip(a)]. 7573 T(x,y * K(L(x,z,u),w)) = T(x,y). [para(7559(a,1),6153(a,1,2,2))]. 7574 K(K(L(x,y,z),u) * w,x) = K(w,x). [para(7559(a,1),6201(a,1,1,1))]. 7575 T(x,L(x,y,z) * u) = T(x,u * L(x,y,z)). [para(95(a,1),7573(a,1,2))]. 7576 K(x,T(y,K(L(x,z,u),w) * v5)) = K(x * K(v5,x),y). [para(7574(a,1),6046(a,1,1,2)),flip(a)]. 7577 K(x * T(L(y,z,u),w),y) = K(x * L(y,z,u),y). [para(6095(a,1),7574(a,1,1))]. 7578 K(R(L(x,y,x),z,u),w) = K(R(x,z,u),w). [para(47(a,2),7572(a,1,1))]. 7579 ((x / L(T(y,z),u,T(y,z))) * K(y,z)) * y = T(y,z) * (L(T(y,z),u,T(y,z)) \ x). [hyper(5202,a,7569,a)]. 7580 K(x,T(y,z * L(y,u,w))) = K(x,T(y,z)). [para(7575(a,1),7029(a,1,2))]. 7581 K(x,T(y,z * (u * y))) = K(x,T(y,z * u)). [para(102(a,1),7580(a,1,2,2))]. 7582 K(x,T(y,z * (y * u))) = K(x,T(y,z * u)). [para(6164(a,1),7581(a,1,2))]. 7583 K(x * y,T(x,z * y)) = K(x * y,T(x,z)). [hyper(189,a,5412,a(flip),b,7582,a(flip))]. 7584 K(T(x,y) * z,T(x,u * z)) = K(x * z,T(x,u)). [hyper(189,a,6243,a,b,7583,a(flip)),flip(a)]. 7585 K(x * (y \ z),T(x,z)) = K(x * (y \ z),T(x,y)). [para(17(a,1),7583(a,1,2,2))]. 7586 K(x * L(T(y,z),u,w),y) = K(x * L(y,u,w),y). [para(43(a,2),7577(a,1,1,2))]. 7587 T(T(x * K(y * L(x,z,u),x),w),y) = R(T(x,w),y,L(T(x,w),z,u)). [para(7586(a,1),5050(a,1,1,1,2))]. 7588 K(x,T(y,K(L(x,z,u),w) * v5)) = K(x,T(y,v5)). [hyper(189,a,6046,a(flip),b,7576,a)]. 7589 K(x,T(y,K(x,z) * u)) = K(x,T(y,u)). [para(262(a,1),7588(a,1,2,2,1,1))]. 7590 K(x,T(y,z / L(x,u,w))) = K(x,T(y,L(x,u,w) \ z)). [para(4296(a,1),7588(a,1,2,2))]. 7591 K(x,T((K(x,y) * z) / u,z)) = K(x,u \ (K(x,y) * z)). [hyper(5325,a,7589,a),flip(a)]. 7592 K(x,T(y,T(z,x) \ u)) = K(x,T(y,z \ u)). [para(4558(a,1),7589(a,1,2,2))]. 7593 K(x,T(y,z * K(x,u))) = K(x,T(y,z)). [para(6024(a,1),7589(a,1,2,2))]. 7594 K(x,T(y,z * (u * x))) = K(x,T(y,z * (x * u))). [para(5943(a,1),7593(a,1,2,2)),flip(a)]. 7595 K(x,T(y,(z \ (x * u)) \ x)) = K(x,T(y,u \ z)). [hyper(7191,a,7592,a),flip(a)]. 7596 K(x,T(y,(x * z) \ u)) = K(x,T(y,z \ u)). [hyper(7264,a,7595,a)]. 7597 K(x,T(y,(x \ z) \ u)) = K(x,T(y,z \ u)). [para(17(a,1),7596(a,1,2,2,1)),flip(a)]. 7598 K(x,T(y,(z * u) \ ((x * z) * u))) = K(x,T(y,a(x,z,u))). [para(27(a,2),7596(a,1,2,2)),flip(a)]. 7599 K(x,T(y,z \ (x * u))) = K(x,T(y,z \ u)). [hyper(189,a,6997,a(flip),b,7597,a(flip)),flip(a)]. 7600 K(x,T(y,z \ (x \ u))) = K(x,T(y,z \ u)). [para(17(a,1),7599(a,1,2,2,2)),flip(a)]. 7601 T(x,T(y,z \ (x * u))) = x * K(x,T(y,z \ u)). [para(7599(a,1),4396(a,2,2))]. 7602 K(x,T(T(x \ y,z),u \ y)) = K(x,T(T(x \ y,z),u)). [hyper(7248,a,7600,a),flip(a)]. 7603 T(x,T(y,z \ (x * u))) = T(x,T(y,z \ u)). [hyper(189,a,4396,a,b,7601,a)]. 7604 T(x,T(y,z \ (x \ u))) = T(x,T(y,z \ u)). [para(17(a,1),7603(a,1,2,2,2)),flip(a)]. 7605 T(x,T(y \ (x \ z),y \ z)) = T(x,y \ (x \ z)). [para(112(a,1),7604(a,1,2)),flip(a)]. 7606 K(x,(L(T(x,y),z,u) \ w) \ 1) = K(x,w \ L(x,z,u)). [para(43(a,2),7570(a,1,2,1,1))]. 7607 K(x,T(y,z / L(x,u,w))) = K(x,T(y,z)). [hyper(189,a,6796,a(flip),b,7590,a)]. 7609 K(x,T(y,z * (u * x))) = K(x,T(y,z * u)). [para(128(a,1),7607(a,1,2,2)),flip(a)]. 7610 K(x,T(y,z * (x * u))) = K(x,T(y,z * u)). [hyper(189,a,7594,a(flip),b,7609,a(flip)),flip(a)]. 7611 K(x,T(x * y,z * y)) = K(x,T(x * y,z)). [hyper(5498,a,7610,a),flip(a)]. 7612 K(x,T(x * y,z * y)) = K(x,T(y * x,z)). [hyper(189,a,4579,a,b,7611,a)]. 7613 (x * y) / (x * (z \ T(z * y,z))) = L(K(z,T(y * z,x)),y,x). [para(7612(a,1),7053(a,1,1)),flip(a)]. 7614 K(x,T(y / z,y)) = K(x,z \ (K(x,u) * y)). [hyper(7185,a,7591,a)]. 7615 K(x,y \ (K(x,z) * u)) = K(x,y \ u). [hyper(5325,a,7614,a),flip(a)]. 7616 K(x,y \ ((x \ z) * x)) = K(x,y \ z). [para(4293(a,1),7615(a,1,2,2)),flip(a)]. 7617 K(x,y \ (z * x)) = K(x,y \ (x * z)). [para(4373(a,1),7615(a,1,2,2)),flip(a)]. 7618 K(x,T(y \ (K(x,z) * u),w)) = T(K(x,y \ u),w). [para(7615(a,1),5334(a,2,1))]. 7619 K(x,y \ (z * K(u,x))) = K(x,y \ z). [para(6052(a,1),7615(a,1,2,2)),flip(a)]. 7620 K(x,y \ ((x \ 1) * (z * x))) = K(x,y \ z). [para(486(a,2),7616(a,1,2,2))]. 7621 K(x,K(y,z \ (y \ u))) = K(x,K(y,z \ u)). [para(7616(a,1),6897(a,1,2)),flip(a)]. 7622 K(x,y \ (z \ T(u,x))) = K(x,y \ (z \ u)). [para(1077(a,1),7619(a,1,2,2))]. 7623 K(x / y,z \ (x / y)) = K(x / y,z \ (y \ x)). [para(4305(a,1),7619(a,1,2,2))]. 7624 (K(x,K(y,z \ u)) * w) / (y \ w) = T(y,K(x,z \ (y \ u))). [para(7621(a,1),5974(a,1,1,1))]. 7625 K(x,y \ ((T(z,x) / u) \ z)) = K(x,y \ u). [para(69(a,1),7622(a,1,2,2)),flip(a)]. 7626 K(x,((T(y,x) / z) \ 1) \ z) = z \ ((T(y,x) / z) \ y). [hyper(189,a,5509,a(flip),b,7625,a(flip))]. 7627 K(x,T(y \ (K(x,z) * u),w)) = K(x,T(y \ u,w)). [hyper(189,a,5334,a,b,7618,a)]. 7628 K(x / y,z \ (x / y)) = K(y \ x,(z * y) \ x). [hyper(189,a,6895,a(flip),b,7623,a)]. 7629 K(x,T(y \ (z / (z / x)),u)) = K(x,T(y \ x,u)). [para(4345(a,1),7627(a,1,2,1,2)),flip(a)]. 7630 K(x / y,z \ (x / y)) = K(y \ x,y \ (z \ x)). [hyper(189,a,7187,a(flip),b,7628,a)]. 7632 K(x / (x / y),z \ (u / (u / y))) = K(y,T(z \ y,x)). [hyper(6272,a,7629,a)]. 7633 K(x,T(T(x \ y,z),y \ u)) = K(x,T(T(x \ y,z),u)). [hyper(7247,a,7602,a)]. 7634 K(x,y \ L(T(x,z),u,w)) = K(x,y \ L(x,u,w)). [hyper(5259,a,7606,a)]. 7635 K((x \ y) \ T(y,x),z \ L((x \ y) \ T(y,x),u,w)) = K((x \ y) \ T(y,x),z \ L(T(x,x \ y),u,w)). [para(1046(a,1),7634(a,1,2,2,1)),flip(a)]. 7636 K((x \ y) \ T(y,x),z \ L(L(T(x,x \ y),y,x),u,w)) = K((x \ y) \ T(y,x),z \ L((x \ y) \ T(y,x),u,w)). [para(1047(a,1),7634(a,1,2,2,1))]. 7638 K(x,((y / z) \ 1) \ z) = z \ ((T(y,x) / z) \ y). [hyper(189,a,7516,a(flip),b,7626,a(flip)),flip(a)]. 7639 (T(x,y) / z) \ x = z * K(y,((x / z) \ 1) \ z). [para(7638(a,2),17(a,1,2)),flip(a)]. 7640 x * K(y,((z / x) \ 1) \ x) = (1 / x) \ K(y,z). [hyper(189,a,7388,a(flip),b,7639,a(flip))]. 7641 (1 / x) \ K(y,z * x) = x * K(y,(z \ 1) \ x). [para(18(a,1),7640(a,1,2,2,1,1)),flip(a)]. 7642 K(x,(y \ 1) \ z) = K(x,y * z). [hyper(7339,a,7641,a),flip(a)]. 7644 K((x / y) \ x,(x / y) \ (z \ x)) = K(y,T(z \ y,x)). [hyper(189,a,7630,a(flip),b,7632,a(flip)),flip(a)]. 7645 K(x,T(T(x \ y,z),y * u)) = K(x,T(T(x \ y,z),u)). [para(16(a,1),7633(a,1,2,2)),flip(a)]. 7646 K(x,(y / x) \ (z \ y)) = K(x,T(z \ x,y)). [hyper(4628,a,7644,a)]. 7648 K(x,y \ (x * (z \ y))) = K(x,T(z \ x,y)). [hyper(189,a,6362,a(flip),b,7646,a(flip)),flip(a)]. 7649 K(x,y \ ((z \ y) * x)) = K(x,T(z \ x,y)). [hyper(189,a,7617,a,b,7648,a(flip)),flip(a)]. 7650 K(x,T(y \ x,x * z)) = K(x,z \ (y \ (x * z))). [hyper(189,a,7132,a(flip),b,7649,a(flip))]. 7651 K(x,y \ (z \ (x * y))) = K(x,T(z \ x,y)). [hyper(189,a,5421,a(flip),b,7650,a(flip))]. 7652 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(5895(a,1),7651(a,1,2))]. 7653 L(K(x,T(T(x \ y,z),z)),z,y) = (y * (K(x,x \ y) * z)) / (y * z). [para(7645(a,1),6741(a,1,1))]. 7654 K(x,T(y,R(T(x,z * u),z,u))) = K(x,T(y,a(x,z,u))). [para(507(a,1),7598(a,1,2,2))]. 7655 K(x,T(y,a(x,z,u))) = K(x,y). [hyper(6103,a,7654,a),flip(a)]. 7657 T(x,T(y,a(x,z,u))) = x * K(x,y). [para(7655(a,1),4396(a,2,2))]. 7658 T(x,T(y,a(x,z,u))) = T(x,y). [hyper(189,a,4396,a,b,7657,a)]. 7659 (T(x,x \ y) * a(x,z,u)) \ (a(x,z,u) * ((x \ y) \ y)) = K(a(x,z,u),x). [para(7658(a,1),6399(a,1,1,1))]. 7660 T(x,K(y,z \ (x \ u))) = T(x,K(y,z \ u)). [hyper(5977,a,7624,a),flip(a)]. 7661 K(x,y \ (x \ z)) * T(x,K(u,y \ z)) = T(x,T(y \ (x \ z),u)). [para(7660(a,1),6685(a,1,2))]. 7662 R(T(x,y),z,L(T(x,y),u,w)) = R(T(x,y),z,L(x,u,w)). [hyper(189,a,5650,a(flip),b,7587,a(flip))]. 7664 (x * (K(y,y \ x) * z)) / (x * z) = L(K(y,y \ x),z,x). [para(6026(a,1),7653(a,1,1)),flip(a)]. 7666 K(a(x,y,z),T(x,u)) = K(a(x,y,z),x). [hyper(5495,a,7659,a)]. 7667 T(x,y) * (L(T(x,y),z,T(x,y)) \ u) = ((u / L(T(x,y),z,x)) * K(x,y)) * x. [para(6528(a,1),7579(a,1,1,1,2)),flip(a)]. 7669 T(x,y) * (L(T(x,y),z,T(x,y)) \ u) = (u / L(x,z,x)) * x. [para(6525(a,1),7667(a,2,1))]. 7670 T(x,y) * (L(T(x,y),z,T(x,y)) \ u) = x * (L(x,z,x) \ u). [hyper(189,a,7569,a(flip),b,7669,a)]. 7672 T(x,y) * (L(T(x,y),z,x) \ u) = x * (L(x,z,x) \ u). [para(6528(a,1),7670(a,1,2,1))]. 7674 L(x \ y,x,K(y,z)) * (K(y,z) * x) = K(x \ T(y,z),x) * (K(y,z) * y). [para(17(a,1),6872(a,1,2,2)),flip(a)]. 7676 L(x \ y,x,K(y,z)) * (K(y,z) * x) = K(x \ T(y,z),x) * T(y,z). [para(4403(a,2),7674(a,2,2))]. 7677 L(x \ y,x,K(y,z)) * (K(y,z) * x) = (x \ T(y,z)) * x. [hyper(189,a,4291,a(flip),b,7676,a)]. 7678 L(x \ y,x,K(y,z)) * (K(y,z) * x) = T((x \ y) * x,z). [hyper(189,a,4153,a,b,7677,a)]. 7679 L(x \ y,x,K(y,z)) * (K(y,z) * x) != u | T((x \ y) * x,z) = u. [para(7677(a,2),4155(a,1))]. 7680 L(x \ L(y,z,u),x,K(L(y,z,u),y \ w)) * (K(L(y,z,u),w / y) * x) = T((x \ L(y,z,u)) * x,w / y). [para(5416(a,1),7678(a,1,1,3))]. 7681 L(K(x * ((y * z) \ y),x),(y * z) \ y,z * y) = K((z * y) \ (y * (K(z,y) * x)),x). [para(3828(a,1),7085(a,2,1,2))]. 7682 L(K(x,x * (y \ z)),y \ z,z * (y / z)) = K(x,L((z \ y) \ x,y / z,z)). [para(4016(a,1),7090(a,2,2))]. 7683 L(K(x,x * (y \ z)),y \ z,z * (y / z)) = K(x,y \ (z * x)). [hyper(189,a,5933,a(flip),b,7682,a)]. 7684 T(x,y) \ R(T(x,y),y,R(T(x,y),z,u)) = K(R(x,z,u) * y,x) * K(T(x,y),y). [para(7244(a,1),7312(a,1,1)),flip(a)]. 7685 T(x,y) \ R(T(x,y),y,R(T(x,y),z,u)) = K(R(x,z,u) * y,x) * K(x,y). [para(3876(a,1),7684(a,2,2))]. 7686 K(R(x,y,z) * u,x) * K(x,u) = x \ R(x,u,R(T(x,u),y,z)). [hyper(189,a,7536,a(flip),b,7685,a(flip))]. 7688 x \ R(x,y,R(T(x,y),z,u)) = L(x,y,R(x,z,u)) \ x. [hyper(189,a,7198,a(flip),b,7686,a(flip))]. 7689 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(7278(a,1),7412(a,1,2,1))]. 7690 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(4558(a,1),7689(a,1,2))]. 7692 R(K(x,x \ y),z,T(y,K(x,x \ y) * z)) = (y * (K(x,x \ y) * z)) / (y * z). [para(113(a,1),7475(a,2,2))]. 7693 (x * (y * z)) \ ((x * K(z,y)) * (y * z)) = L(K(z,y),T(x,y * z),y * z). [para(113(a,1),7501(a,1,2))]. 7694 L(K(x,y),T(z,y * x),y * x) != u | K(((z / x) * (y * x)) \ (z * (y * x)),y) = u. [para(7693(a,1),5609(a,1))]. 7695 K(x,(y \ 1) \ L(L(x,y,x),z,u)) * (y \ (T(y,x) * L(x,z,u))) = L(L(x,y,x),z,u). [para(5411(a,1),7550(a,1,1))]. 7696 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(189,a,7142,a(flip),b,7652,a(flip)),flip(a)]. 7697 L(K(x * ((y * z) \ y),x),(y * z) \ y,z * y) = K(L(z \ x,T(z,y),y),x). [para(4556(a,1),7681(a,2,1))]. 7698 L(K(x * ((y * z) \ y),x),(y * z) \ y,z * y) = K(z \ x,x). [hyper(189,a,5536,a(flip),b,7697,a)]. 7700 K(L(x,y,z),u \ ((1 / x) \ L(K(x,w),v5,v6))) = K(L(x,y,z),(x \ u) \ 1). [hyper(189,a,7171,a(flip),b,6791,a)]. 7702 K(L(x,y,z),u \ ((1 / x) \ L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). [hyper(189,a,5258,a(flip),b,7700,a)]. 7703 K(L(x,y,z),u \ (x * L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). [para(5900(a,1),7702(a,1,2,2))]. 7704 K((T(x,y) \ z) \ (T(x,y) \ R(x,u,w)),R(x,u,w)) = K(z \ R(x,u,w),R((T(x,y) \ 1) \ K(y,x),u,w)). [para(4350(a,2),6900(a,1,2,1,2)),flip(a)]. 7705 (((x * y) \ x) \ 1) / ((1 / (y * L(y \ 1,y,z))) \ (L(y \ 1,y,x) \ 1)) = 1 / (y * ((z * y) \ z)). [para(5551(a,1),7402(a,1,1))]. 7706 R(R(x,y,z),y * z,L(K(z,u),z,x * y)) = ((x * y) * T(z,u)) / ((y * z) * K(z,u)). [para(4396(a,2),5901(a,2,1,2))]. 7707 R(R(x,y,z),y * z,L(K(z,u),z,x * y)) = ((x * y) * T(z,u)) / (y * T(z,u)). [para(5139(a,1),7706(a,2,2))]. 7708 R(R(x,y,z),y * z,K(z,u)) = ((x * y) * T(z,u)) / (y * T(z,u)). [para(5897(a,1),7707(a,1,3))]. 7709 R(R(x,y,z),y * z,K(z,u)) != w | R(x,y,T(z,u)) = w. [para(7708(a,2),385(a,1))]. 7711 R(x,y,T(x,z)) = R(x,y,x). [hyper(7709,a,6146,a)]. 7715 R(x,y,(x \ z) \ z) = R(x,y,x). [para(114(a,1),7711(a,1,3))]. 7716 R(T(x,x \ y),z,T((x \ y) \ y,u)) = R(T(x,x \ y),z,T(x,x \ y)). [para(525(a,1),7711(a,1,3))]. 7717 x \ R(T(y,y \ z),u,T((y \ z) \ z,w)) = x \ R((y \ z) \ z,u,(y \ z) \ z). [para(7711(a,1),836(a,2,2))]. 7720 R(T(x,x \ y),z,T((x \ y) \ y,u)) = R(T(x,x \ y),z,x). [hyper(189,a,6434,a(flip),b,7716,a)]. 7722 x \ R(T(y,y \ z),u,y) = x \ R((y \ z) \ z,u,(y \ z) \ z). [para(7720(a,1),7717(a,1,2))]. 7723 T(x,x \ y) \ R((x \ y) \ y,z,(x \ y) \ y) = x \ R(x,z,x). [hyper(189,a,6527,a(flip),b,7722,a(flip))]. 7724 L(K(x * y,x) * K(x,K(z * y,y)),y,z) = (z * (T(x * y,x) / T(x,y))) / (z * y). [para(5998(a,1),5989(a,1,1,2))]. 7725 L(K(x * y,x) * K(x,K(y * z,y)),y,z) = (z * (T(x * y,x) / T(x,y))) / (z * y). [para(4617(a,1),7724(a,1,1,2,2))]. 7726 L(K(x * y,x) * K(x,K(y,y * z)),y,z) = (z * (T(x * y,x) / T(x,y))) / (z * y). [para(5983(a,1),7725(a,1,1,2))]. 7727 (x * (T(y * z,y) / T(y,z))) / (x * z) = L(K(y * z,y) * K(y,K(z,x)),z,x). [para(5965(a,1),7726(a,1,1,2)),flip(a)]. 7728 L(K(x * y,x) * K(x,K(y,z)),y,z) = (z * (x \ T(x * y,x))) / (z * y). [para(3977(a,1),7727(a,1,1,2)),flip(a)]. 7729 (x * (y \ T(y * z,y))) / (x * z) = L(K(y * z,T(y,x)),z,x). [para(6367(a,1),7728(a,1,1)),flip(a)]. 7730 L(K(x * y,T(x,z)),y,z) = K((z * y) / (z * (x \ 1)),x). [hyper(189,a,4956,a(flip),b,7729,a(flip))]. 7731 L(K(x * y,T(x,z)),y,z) = K((z * y) / (x \ z),x). [hyper(189,a,6939,a(flip),b,7730,a)]. 7732 L(K(x * y,T(x,z)),y,z) = K((z / (z * y)) \ x,x). [hyper(189,a,7037,a(flip),b,7731,a)]. 7733 L(K(x * y,T(y,z)),x,z) = K((z / (z * x)) \ y,y). [para(4921(a,2),7732(a,1,1))]. 7734 K(x \ R(x,y,z),R(x,x \ R(x,y,z),y * z)) = K(a(x,y,z),x). [hyper(7062,a,7666,a)]. 7735 K(a(x,y,z),x) = 1. [hyper(4922,a,7734,a),flip(a)]. 7736 T(a(x,y,z),x) = a(x,y,z). [hyper(40,a,7735,a)]. 7737 T(x,a(x,y,z)) = x. [hyper(38,a,7736,a)]. 7738 L(x,y,z) * a(x,u,w) = a(x,u,w) * L(x,y,z). [para(7737(a,1),159(a,1,2,1)),flip(a)]. 7739 ((x * L(y,z,u)) * a(y,w,v5)) \ ((x * (a(y,w,v5) * L(y,z,u))) * a(y,w,v5)) = L(a(y,w,v5),L(y,z,u),x). [para(7738(a,1),1266(a,2,2,1,2)),flip(a)]. 7740 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(4692,a,7690,a)]. 7741 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). [para(5380(a,1),7740(a,1,1))]. 7742 K(T(T(x,y),x \ 1),z \ ((T(x,y) \ 1) * y)) = K((x \ 1) \ 1,((x \ 1) * T(y,x)) / z). [para(3536(a,1),6462(a,1,1))]. 7743 K(T(x,y),z \ ((T(x,y) \ 1) * y)) = K((x \ 1) \ 1,((x \ 1) * T(y,x)) / z). [hyper(6318,a,7742,a)]. 7744 K(T(x,y),z \ ((T(x,y) \ 1) * y)) = K(x,((x \ 1) * T(y,x)) / z). [hyper(189,a,2648,a(flip),b,7743,a)]. 7745 K(T(x,y),z \ ((T(x,y) \ 1) * y)) != u | K(x,((x \ 1) * y) / z) = u. [para(7744(a,2),6886(a,1))]. 7746 ((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(3889(a,1),6657(a,1,1,1))]. 7747 (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(4376(a,1),6693(a,1,1))]. 7748 a(x,K(x,y) * z,R(x,u,w)) = a(T(x,y),z,R(x,u,w)). [hyper(553,a,7747,a),flip(a)]. 7749 a(x,K(x,y) * z,R(x,u,w)) != v5 | a(T(x,y),z,R(x,u,w)) = v5. [para(7747(a,1),553(a,1))]. 7750 a(T(x,y),T(x,y) \ z,R(x,u,w)) = a(x,x \ z,R(x,u,w)). [para(4541(a,1),7748(a,1,2)),flip(a)]. 7751 L(K(x,x \ y),z / K(x,x \ y),y) \ (y * z) = T(y * (z * K(x \ y,x)),K(y,x)). [para(6765(a,1),7414(a,2,2))]. 7752 L(K(x,x \ y),z / K(x,x \ y),y) \ (y * z) = y * (K(x \ y,x) * z). [hyper(189,a,7196,a(flip),b,7751,a)]. 7753 L(K(x,x \ y),z * K(x \ y,x),y) \ (y * z) = y * (K(x \ y,x) * z). [para(3890(a,1),7752(a,1,1,2))]. 7754 L(K(x,x \ y),z,y) \ (y * z) = y * (K(x \ y,x) * z). [para(6611(a,1),7753(a,1,1))]. 7755 x * (K(y \ x,y) * z) != u | L(K(y \ x,y),z,x) * (x * z) = u. [para(7754(a,1),5918(a,1))]. 7757 ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = ((K(y,x) * z) * K(x,y)) * K(u,x). [para(2003(a,1),7746(a,1,1,2)),flip(a)]. 7758 ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = T(z,K(x,y)) * K(u,x). [para(3956(a,1),7757(a,2,1))]. 7759 ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = T(z * K(u,x),K(x,y)). [hyper(189,a,6576,a,b,7758,a)]. 7760 (K(x,y) \ z) * (K(x,y) * K(u,x)) = T(z * K(u,x),K(x,y)). [para(2005(a,1),7759(a,1,1,1))]. 7761 (K(x,y) * z) * (K(y,x) * K(u,y)) = T(z * K(u,y),K(y,x)). [para(3889(a,1),7760(a,1,1))]. 7762 (K(x,y) * z) * (K(y,x) * K(u,y)) = T(z * K(u,y),K(x,y)). [hyper(189,a,6118,a,b,7761,a)]. 7763 (K(x,y) * z) * (K(u,y) * K(y,x)) = T(z * K(u,y),K(x,y)). [para(1959(a,1),7762(a,1,2))]. 7764 (K(x,y) * z) * (K(y,x) * K(u,y)) != w | T(z * K(u,y),K(y,x)) = w. [para(7762(a,2),6121(a,1))]. 7765 T(x * K(y,z),K(u,z)) / (K(u,z) * x) = (K(y,z) * K(z,u)) * K(K(u,z) * x,K(y,z) * K(z,u)). [hyper(76,a,7763,a(flip),b,4405,a)]. 7766 K(R(((T(x,y) * y) / x) \ (T(x,y) * y),z,u),T(x,y) * y) = K(R(x,z,u),T(T(x,y) * y,y)). [hyper(189,a,6077,a(flip),b,7057,a)]. 7767 K(R(((T(x,y) * y) / x) \ (T(x,y) * y),z,u),T(x,y) * y) = K(R(x,z,u),T(x * y,y)). [hyper(189,a,5647,a(flip),b,7766,a)]. 7768 K(R(x,y,z),T(x * u,u)) = K(R(x,y,z),T(x,u) * u). [para(69(a,1),7767(a,1,1,1)),flip(a)]. 7769 K(R(x,y,z),T(x * u,u)) = K(R(x,y,z),x * u). [hyper(189,a,5056,a(flip),b,7768,a)]. 7770 K(R(x,y,z),x * L(u,x,u)) = K(R(x,y,z),T(x,u) * u). [para(7565(a,1),7769(a,1,2)),flip(a)]. 7771 K(R(x,y,z),x * L(u,x,u)) = K(R(x,y,z),x * u). [hyper(189,a,5056,a(flip),b,7770,a)]. 7772 K(x,(1 / (y \ T(L(L(x,z,u),w,v5),v6))) \ K(v6,L(L(x,z,u),w,v5))) = K(x,y \ L(L(x,z,u),w,v5)). [hyper(189,a,5411,a(flip),b,7389,a)]. 7773 T(x * K(y,z),K(z,u)) / (K(u,z) * x) = (K(y,z) * K(z,u)) * K(K(u,z) * x,K(y,z) * K(z,u)). [para(6118(a,1),7765(a,1,1))]. 7774 K(x,(1 / (y \ L(T(L(x,z,u),w),v5,v6))) \ K(w,L(L(x,z,u),v5,v6))) = K(x,y \ L(L(x,z,u),v5,v6)). [para(43(a,2),7772(a,1,2,1,2,2))]. 7775 K(x,(1 / (y \ L(L(T(x,z),u,w),v5,v6))) \ K(z,L(L(x,u,w),v5,v6))) = K(x,y \ L(L(x,u,w),v5,v6)). [para(43(a,2),7774(a,1,2,1,2,2,1))]. 7776 K(x,(1 / (y \ L(L(T(x,z),u,w),v5,v6))) \ 1) = K(x,y \ L(L(x,u,w),v5,v6)). [hyper(189,a,7571,a(flip),b,7775,a(flip)),flip(a)]. 7778 K(x,y \ L(L(T(x,z),u,w),v5,v6)) = K(x,y \ L(L(x,u,w),v5,v6)). [para(69(a,1),7776(a,1,2))]. 7780 R(T(x,K(y,z) * K(u,y)),K(y,z),K(u,y)) = T(L(T(x,K(u,y)),K(u,y),K(y,z)),K(y,z)). [para(154(a,1),6563(a,1,1)),flip(a)]. 7781 R(T(x,K(y,z) * K(u,y)),K(y,z),K(u,y)) = T(L(T(x,K(y,u)),K(u,y),K(y,z)),K(y,z)). [para(6118(a,1),7780(a,2,1,1))]. 7782 R(T(x,K(y,z) * K(u,y)),K(y,z),K(u,y)) = L(T(T(x,K(y,u)),K(y,z)),K(u,y),K(y,z)). [hyper(189,a,43,a,b,7781,a)]. 7783 L(T(T(x,K(y,z)),K(y,u)),K(z,y),K(y,u)) = T(x,K(y,u) * K(z,y)). [hyper(189,a,6656,a(flip),b,7782,a(flip))]. 7785 (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(7381(a,1),7384(a,2,2,1,1))]. 7786 (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(189,a,2222,a(flip),b,7785,a)]. 7787 (T(x,y) * R(T(x,y) \ (x * y),z,u)) / (x * y) = R(R(y,z,u) / y,y,x). [para(915(a,1),7786(a,2,1))]. 7788 (T(x,y) * R(T(y,x),z,u)) / (x * y) = R(R(y,z,u) / y,y,x). [para(3528(a,1),7787(a,1,1,2,1))]. 7789 (R(x,y,z) * T(u,x)) / (u * x) = R(R(x,y,z) / x,x,u). [para(3535(a,1),7788(a,1,1))]. 7790 R(R(x,y,x) / x,x,z) = (z * R(x,y,x)) / (z * x). [para(6706(a,1),7789(a,1,1)),flip(a)]. 7791 R(x \ R(x,y,x),x,z) = (z * R(x,y,x)) / (z * x). [para(3252(a,1),7790(a,1,1))]. 7792 ((x * (y * z)) * L(u * (L(z \ 1,z,y) / u),y * z,x)) \ (x * y) = K((x * (y * z)) \ (u \ (x * y)),u). [para(5117(a,2),6786(a,1,1,2))]. 7793 K((x \ y) \ T(y,x),z \ L((x \ y) \ T(y,x),u,w)) = K(x,z \ L(T(x,x \ y),u,w)). [hyper(189,a,6469,a(flip),b,7635,a)]. 7795 K((x \ y) \ T(y,x),z \ L((x \ y) \ T(y,x),u,w)) = K(x,z \ L(x,u,w)). [hyper(189,a,7634,a(flip),b,7793,a)]. 7797 K((T(x,y) \ z) \ (T(x,y) \ R(x,u,w)),R(x,u,w)) = K(z \ R(x,u,w),R(T(x,x \ 1),u,w)). [para(4363(a,1),7704(a,2,2,1))]. 7799 K((T(x,y) \ z) \ (T(x,y) \ R(x,u,w)),R(x,u,w)) != v5 | K(z \ R(x,u,w),R(x,u,w)) = v5. [para(7797(a,2),5330(a,1))]. 7800 ((x * (y * z)) * L(L(u * ((z \ 1) / u),z,y),y * z,x)) \ (x * y) = K((x * (y * z)) \ (u \ (x * y)),u). [para(5117(a,2),7792(a,1,1,2,1))]. 7801 (x * ((y * z) * L(u * ((z \ 1) / u),z,y))) \ (x * y) = K((x * (y * z)) \ (u \ (x * y)),u). [para(102(a,1),7800(a,1,1))]. 7802 (x * (y * (z * (u * ((z \ 1) / u))))) \ (x * y) = K((x * (y * z)) \ (u \ (x * y)),u). [para(102(a,1),7801(a,1,1,2))]. 7803 (x * (y * K(z,u \ (z \ 1)))) \ (x * y) = K((x * (y * u)) \ (z \ (x * y)),z). [para(6782(a,1),7802(a,1,1,2,2))]. 7804 K((x * (y * z)) \ (u \ (x * y)),u) = L(K(z \ (u \ 1),u),y,x). [hyper(5929,a,7803,a),flip(a)]. 7805 K((x * (y * z)) \ (u \ (x * y)),u) = K(L(z * u,y,x) \ 1,u). [hyper(189,a,5586,a(flip),b,7804,a)]. 7806 K(L(x * y,z,u) \ 1,y) = K(L(x,z,u) \ (y \ 1),y). [hyper(189,a,6860,a(flip),b,7805,a(flip))]. 7807 K(x,T(y,R(x,z,u) * w)) = T(v5 * K(T(y,w),x),K(T(y,w),v6)) \ T(v5,K(T(y,w),v6)). [para(7533(a,1),6898(a,1,1,1,2)),flip(a)]. 7808 K(x,T(y,R(x,z,u) * w)) = K(x,T(y,w)). [hyper(189,a,6846,a(flip),b,7807,a)]. 7810 K(x,T(y,R(x,z,u) * w)) = K(x,y) * K(x,K(y,w)). [hyper(189,a,6012,a,b,7808,a)]. 7811 K(x,K(y,R(x,z,u) * w)) = K(x,K(y,w)). [hyper(6020,a,7810,a)]. 7812 K(x,K(y,R(x,z,u) \ w)) = K(x,K(y,w)). [para(17(a,1),7811(a,1,2,2)),flip(a)]. 7813 K(x,K(y,(x * z) * u)) = K(x,K(y,z * u)). [para(110(a,1),7811(a,1,2,2))]. 7814 K(x,K(y,z \ R(x,u,w))) = K(x,K(y,z)). [hyper(7261,a,7812,a)]. 7815 K(x,K(y,R(x,z,u) / w)) = K(x,K(y,w)). [para(69(a,1),7814(a,1,2,2)),flip(a)]. 7816 K(x,K(y,z * R(x,u,w))) = K(x,K(y,z)). [hyper(7260,a,7815,a),flip(a)]. 7817 K(x * R(y,z,u),y) * K(y,K(w,x)) = T(K(x * R(y,z,u),T(y,x)),w). [para(7816(a,1),7267(a,1,2))]. 7818 K(x,K(y,(y * z) * u)) = K(y,K(x,z * u)). [hyper(5967,a,7813,a)]. 7819 K(x,K(y,(y * x) * z)) = K(x,K(y,z)). [hyper(189,a,5994,a(flip),b,7818,a)]. 7820 R((K(x,K(y,z)) * u) / (K(x,y) \ u),y * x,z) = ((y * x) * z) \ ((x * y) * z). [para(7819(a,1),6364(a,1,1,1,1))]. 7821 K(x * R(y,z,u),y) * K(x,K(y,w)) = T(K(x * R(y,z,u),T(y,x)),w). [para(5969(a,1),7817(a,1,2))]. 7823 K(x * R(y,z,u),y) * K(x,K(y,w)) = T(K(x * R(y,z,u),y),w). [para(7243(a,1),7821(a,2,1))]. 7824 ((x * y) * z) \ ((y * x) * z) = R(T(K(y,x),z),x * y,z). [para(5962(a,1),7820(a,1,1)),flip(a)]. 7825 R(T(K(x,y),z),y * x,z) = K((((y * x) * z) \ (y * z)) \ 1,y). [hyper(189,a,5812,a,b,7824,a(flip))]. 7826 R(T(K(x,y),z),y * x,z) = K((y * z) \ ((y * x) * z),y). [hyper(189,a,5209,a(flip),b,7825,a)]. 7827 R(T(K(x,y),z),y * x,z) = K(R(T(x,z),y,z),y). [hyper(189,a,7153,a(flip),b,7826,a)]. 7828 ((x * y) * z) \ ((y * x) * z) = K(R(T(y,z),x,z),x). [hyper(189,a,7824,a,b,7827,a(flip)),flip(a)]. 7829 ((x * y) * z) \ ((y * x) * z) = K(R(y,x,z),T(x,z)). [hyper(189,a,5393,a(flip),b,7828,a)]. 7830 L(x \ L(y,z,u),x,K(L(y,z,u),y \ w)) * (K(L(y,z,u),y \ w) * x) = T((x \ L(y,z,u)) * x,w / y). [para(5416(a,1),7680(a,1,2,1))]. 7831 T((x \ L(y,z,u)) * x,w / y) = T((x \ L(y,z,u)) * x,y \ w). [hyper(7679,a,7830,a),flip(a)]. 7832 T((x \ L(y,y \ z,y)) * x,y \ T(z,y)) != u | T((x \ y) * x,z) = u. [para(7831(a,1),5649(a,1))]. 7833 L(T((x \ y) * x,y \ T(z,y)),y \ z,y) = T((x \ y) * x,z). [hyper(7832,a,5118,a(flip)),flip(a)]. 7834 L(T((x \ y) * x,y \ z),y \ z,y) = T((x \ y) * x,z). [para(6420(a,1),7833(a,1,1))]. 7835 x \ (y * (((z \ y) * z) * (y \ x))) = T((z \ y) * z,x). [hyper(556,a,7834,a)]. 7836 x * T((y \ z) * y,x) = z * (((y \ z) * y) * (z \ x)). [para(7835(a,1),17(a,1,2))]. 7837 x * (((y \ x) * y) * (x \ z)) = ((y \ x) * y) * z. [hyper(205,a,7836,a),flip(a)]. 7839 (((x * (y * x)) / x) / y) * (z / (((x * (y * x)) / x) / y)) = z * K(L(x,T(y,x),x),T(x,y * x) \ z). [para(3726(a,1),6679(a,2,2,1))]. 7840 (((x * (y * x)) / x) / y) * (z / (((x * (y * x)) / x) / y)) = z * K(L(x,T(y,x),x),T(x,x * y) \ z). [para(3507(a,1),7839(a,2,2,2,1))]. 7841 (((x * (y * x)) / x) / y) * (z / (((x * (y * x)) / x) / y)) = z * K(x,T(x,x * y) \ z). [para(6465(a,1),7840(a,2,2))]. 7842 (((x * (y * x)) / x) / y) * (z / (((x * (y * x)) / x) / y)) = z * K(x,x \ z). [para(6186(a,1),7841(a,2,2))]. 7844 (((x * (y * x)) / x) / y) * (z / (((x * (y * x)) / x) / y)) = x * (z / x). [hyper(189,a,3903,a(flip),b,7842,a)]. 7846 L(x,T(y,x),x) * (z / (((x * (y * x)) / x) / y)) = x * (z / x). [para(3726(a,1),7844(a,1,1))]. 7847 L(x,T(y,x),x) * (z / L(x,T(y,x),x)) = x * (z / x). [para(3726(a,1),7846(a,1,2,2))]. 7848 L(x,y,x) * (z / L(x,T(y,x),x)) = x * (z / x). [para(3724(a,1),7847(a,1,1))]. 7849 L(x,y,x) * (z / L(x,y,x)) = x * (z / x). [para(3724(a,1),7848(a,1,2,2))]. 7850 L(x,y,x) * ((z * x) / L(x,y,x)) = x * z. [para(18(a,1),7849(a,2,2))]. 7851 K((x \ y) \ T(y,x),z \ L((x \ y) \ T(y,x),u,w)) = K(x,z \ L(L(T(x,x \ y),y,x),u,w)). [hyper(189,a,6469,a(flip),b,7636,a(flip))]. 7853 K((x \ y) \ T(y,x),z \ L((x \ y) \ T(y,x),u,w)) = K(x,z \ L(L(x,y,x),u,w)). [hyper(189,a,7778,a(flip),b,7851,a)]. 7855 K(x,y \ L(L(x,z,x),u,w)) = K(x,y \ L(x,u,w)). [hyper(189,a,7795,a(flip),b,7853,a(flip))]. 7857 K(x,(y \ 1) \ L(x,z,u)) * (y \ (T(y,x) * L(x,z,u))) = L(L(x,y,x),z,u). [para(7855(a,1),7695(a,1,1))]. 7858 K(x,y * L(x,z,u)) * (y \ (T(y,x) * L(x,z,u))) = L(L(x,y,x),z,u). [para(7642(a,1),7857(a,1,1))]. 7860 K(x,y * L(x,z,u)) * (K(y,x) * L(x,z,u)) = L(L(x,y,x),z,u). [para(4540(a,1),7858(a,1,2))]. 7861 K(x,x \ 1) \ ((1 / ((L(x,y,z) \ x) * L(x,y,z))) * (L(x,y,z) \ x)) = L(x,y,z) \ 1. [para(4101(a,1),5853(a,1,1))]. 7863 K(x,x \ 1) \ ((1 / x) * (L(x,y,z) \ x)) = L(x,y,z) \ 1. [para(5097(a,1),7861(a,1,2,1,2))]. 7864 (x \ 1) * (L(x,y,z) \ x) = L(x,y,z) \ 1. [hyper(2429,a,7863,a)]. 7865 (x \ 1) \ (L(x,y,z) \ 1) = L(x,y,z) \ x. [hyper(75,a,7863,a(flip),b,2428,a(flip))]. 7866 (x \ L(x,y,z)) \ (x \ 1) = (x \ 1) * (L(x,y,z) \ x). [hyper(189,a,5005,a,b,7864,a),flip(a)]. 7867 (x \ (L(x \ 1,y,z) \ 1)) * K(x \ 1,x) = L(x \ 1,y,z) \ (x \ 1). [hyper(2542,a,7865,a)]. 7868 (x \ L(x,y,z)) \ 1 = L(x,y,z) \ x. [hyper(1934,a,7866,a)]. 7869 (x \ L(x,y,z)) * (L(x,y,z) \ x) != u | 1 = u. [para(7868(a,1),203(a,1,2)),flip(b)]. 7870 (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(7867(a,1),3249(a,2,1)),flip(a)]. 7871 (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(7341(a,1),7870(a,1,2))]. 7872 (L(x \ 1,y,z) \ (x \ 1)) \ (L(1 / x,y,z) \ 1) = T(x,x \ (L(x \ 1,y,z) \ 1)). [para(5084(a,1),7871(a,1,2))]. 7873 T(x,x \ (L(x \ 1,y,z) \ 1)) = x. [hyper(189,a,5844,a(flip),b,7872,a(flip))]. 7875 T(x,x \ (((y * x) \ y) \ 1)) = x. [para(140(a,1),7873(a,1,2,2,1))]. 7876 (1 / ((x * y) \ x)) / y = y \ (1 / ((x * y) \ x)). [para(7875(a,1),3459(a,1,2))]. 7877 T((1 / ((x * y) \ x)) * K(y,z),y) = (y \ (1 / ((x * y) \ x))) * T(y,z). [para(7876(a,1),6354(a,2,1))]. 7878 (x * (y * R(x,z,u))) \ (((y * R(x,z,u)) * x) * K(x,y)) = x \ R(x,y,R(x,z,u)). [para(6628(a,1),7311(a,1,1))]. 7879 (x * (y * R(x,z,u))) \ ((y * R(x,z,u)) * T(x,y)) = x \ R(x,y,R(x,z,u)). [para(5139(a,1),7878(a,1,2))]. 7881 (x * (y * R(x,z,u))) \ ((x * y) * R(x,z,u)) = x \ R(x,y,R(x,z,u)). [para(1666(a,1),7879(a,1,2))]. 7882 x \ R(x,y,R(x,z,u)) = a(x,y,R(x,z,u)). [hyper(553,a,7881,a),flip(a)]. 7883 x \ R(x,y,R(x,z,u)) != w | a(x,y,R(x,z,u)) = w. [para(7881(a,1),553(a,1))]. 7884 K(x * R(y,z,u),y) * K(y,x) = a(y,x,R(y,z,u)). [hyper(189,a,7291,a,b,7882,a(flip)),flip(a)]. 7885 x * a(x,y,R(x,z,u)) = R(x,y,R(x,z,u)). [para(7882(a,1),17(a,1,2))]. 7886 R(x,y,R(x,z,u)) \ x = a(x,y,R(x,z,u)) \ 1. [para(7882(a,1),5757(a,1,1)),flip(a)]. 7887 x \ R(T(x,y),z,R(x,u,w)) = K(x,y) * a(x,z,R(x,u,w)). [para(7882(a,1),6738(a,1,2)),flip(a)]. 7888 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(7139(a,2),7882(a,1,2))]. 7889 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(4009(a,1),7886(a,2,1))]. 7890 x \ R(x,y,R(T(x,z),u,w)) != v5 | a(T(x,z),y,R(T(x,z),u,w)) = v5. [para(7536(a,1),7883(a,1))]. 7891 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(7884(a,1),6365(a,1,1)),flip(a)]. 7892 T(x,y) \ R(T(x,y),z,R(x,u,w)) = a(x,z,R(x,u,w)). [hyper(4607,a,7887,a)]. 7893 K(x,y) * (K(y,x) * a(y,z,R(y,u,w))) = y \ R(y,z,R(T(y,x),u,w)). [para(7887(a,1),7537(a,1,2))]. 7894 ((x \ y) \ y) \ R((x \ y) \ y,z,R(x,u,w)) = a(x,z,R(x,u,w)). [hyper(4892,a,7892,a)]. 7895 T(x,y) * a(x,z,R(x,u,w)) = R(T(x,y),z,R(x,u,w)). [para(7892(a,1),17(a,1,2))]. 7896 a(x,K(x,y) * z,R(x,u,w)) = x \ (v5 \ ((R(x,z,R(x,u,w)) * (x \ v5)) * x)). [hyper(189,a,7166,a(flip),b,7894,a(flip))]. 7897 x \ R(x,y,R(T(x,z),u,w)) = a(x,y,R(x,u,w)). [hyper(3914,a,7893,a)]. 7898 a(T(x,y),z,R(T(x,y),u,w)) = a(x,z,R(x,u,w)). [hyper(7890,a,7897,a)]. 7900 L(x,y,R(x,z,u)) \ x = a(x,y,R(x,z,u)). [hyper(189,a,7688,a(flip),b,7897,a(flip)),flip(a)]. 7902 a(x,y,R(x,z,u)) \ x = L(x,y,R(x,z,u)). [para(7900(a,1),5098(a,1,1))]. 7903 a(x,y,R(x,z,u)) * T(K(y,x),w) = T(K(y * R(x,z,u),x),w). [hyper(189,a,7823,a(flip),b,7891,a(flip))]. 7904 T(K(x * R(y,z,u),y),w) * T(K(y,x),w) = a(y,x,R(y,z,u)). [hyper(6635,a,7903,a)]. 7905 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(7883,a,7888,a)]. 7906 a(T(x,y),T(y,x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(189,a,5822,a(flip),b,7905,a(flip))]. 7907 a(x,y,R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(4010,a,7906,a)]. 7908 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(7139(a,1),7889(a,1,1))]. 7909 R(T(x,y),y,R(T(x,y),z,u)) \ T(x,y) = a(R(x,z,u),y,x) \ 1. [para(7907(a,1),7908(a,2,1))]. 7910 a(T(x,y),y,R(T(x,y),z,u)) \ 1 = a(R(x,z,u),y,x) \ 1. [hyper(189,a,7886,a(flip),b,7909,a(flip)),flip(a)]. 7911 a(R(x,y,z),u,x) \ 1 = a(x,u,R(x,y,z)) \ 1. [para(7898(a,1),7910(a,1,1)),flip(a)]. 7913 a(T(x,y),z,R(x,u,w)) = x \ (v5 \ ((R(x,z,R(x,u,w)) * (x \ v5)) * x)). [hyper(7749,a,7896,a)]. 7916 a(T(x,y),z,R(x,u,w)) = x \ (v5 \ ((x * (x \ v5)) * R(x,z,R(x,u,w)))). [para(7181(a,1),7913(a,2,2,2))]. 7917 a(T(x,y),z,R(x,u,w)) = x \ (v5 \ (v5 * R(x,z,R(x,u,w)))). [para(17(a,1),7916(a,2,2,2,1))]. 7918 a(T(x,y),z,R(x,u,w)) = x \ R(x,z,R(x,u,w)). [para(16(a,1),7917(a,2,2))]. 7920 a(T(x,y),z,R(x,u,w)) = a(x,z,R(x,u,w)). [hyper(189,a,7882,a(flip),b,7918,a)]. 7921 a(x,T(y,x),R(x,z,u)) = a(x,y,R(x,z,u)). [hyper(4010,a,7920,a),flip(a)]. 7922 a(x,T(x,y) \ z,R(x,u,w)) = a(x,x \ z,R(x,u,w)). [hyper(189,a,7750,a(flip),b,7920,a(flip))]. 7924 ((K((x * y) / (x * (z \ y)),u) \ 1) \ 1) \ (x * (K(z,u) * y)) = (x * (K(z,u) * y)) * ((L(K(u,T(z,y)),y,x) \ 1) \ 1). [para(4957(a,2),5936(a,1,1,1,1))]. 7925 (x * y) \ ((y * K(x,z)) * R(x,y,K(x,z))) = K(x,z) * K(y * K(x,z),R(x,y,K(x,z))). [para(6656(a,1),6149(a,1,1))]. 7926 K(x,y) * K(z * K(x,y),R(x,z,K(x,y))) = (x * z) \ ((z * K(x,y)) * x). [para(6140(a,1),7925(a,1,2,2)),flip(a)]. 7928 K(x,y) * K(z * K(x,y),R(x,z,K(x,y))) = (x * z) \ (z * T(x,y)). [para(5132(a,1),7926(a,2,2))]. 7929 (x * y) \ (y * T(x,z)) = K(x,z) * K(y * K(x,z),x). [para(6140(a,1),7928(a,1,2,2)),flip(a)]. 7930 (x * y) \ (y * T(x,z)) = K(x,z) * K(y,x). [para(6197(a,1),7929(a,2,2))]. 7931 (x * (y * L(x,z,u))) \ ((y * L(x,z,u)) * T(x,y)) = x \ R(x,y,L(x,z,u)). [hyper(189,a,7043,a(flip),b,7930,a)]. 7932 K(T(x,y),y) * K(L(x,z,u) * y,T(x,y)) = a(T(x,y),y,L(T(x,y),z,u)). [hyper(189,a,2083,a(flip),b,7930,a(flip))]. 7933 (x * y) \ (y * T(x,z)) != u | K(y,x) * K(x,z) = u. [para(7930(a,2),1962(a,1))]. 7935 K(x,y) * K(y,y \ x) = a(y,x / y,y). [hyper(7933,a,3566,a)]. 7937 x \ T(y * (x / y),y) = a(y,x / y,y). [hyper(189,a,6355,a,b,7935,a(flip)),flip(a)]. 7938 a(x,(y * x) / x,x) = (y * x) \ T(x * y,x). [para(18(a,1),7937(a,1,2,1,2)),flip(a)]. 7939 a(x,(y * x) / x,x) = K(x,y) * K(x * y,x). [hyper(189,a,7184,a(flip),b,7938,a)]. 7940 K(x,y) * K(x * y,x) = a(x,y,x). [para(18(a,1),7939(a,1,2)),flip(a)]. 7941 x \ R(x,y,x) = a(x,y,x). [hyper(189,a,4686,a(flip),b,7940,a(flip)),flip(a)]. 7942 K(x,y) * a(y,x,y) != z | K(y * x,y) = z. [para(7940(a,1),3914(a,1,2)),flip(b)]. 7943 K(x,x * y) * a(x,y,x) = K(x,y). [para(7940(a,1),3906(a,1,2))]. 7944 T(x * y,x) / x = y * a(x,y,x). [para(7940(a,1),5314(a,1,2)),flip(a)]. 7945 (x / y) * a(y,z,y) = x / L(y,z,y). [para(7940(a,1),6735(a,1,2))]. 7946 K(x * y,x) * (K(x,y) * z) = z * a(x,y,x). [para(7940(a,1),6864(a,2,2))]. 7947 a(x,y * K(x,z),x) = x \ R(x,y,x). [hyper(189,a,6745,a(flip),b,7941,a(flip))]. 7948 x * a(x,y,x) = R(x,y,x). [para(7941(a,1),17(a,1,2))]. 7950 a(x,y,x) * x = R(x,y,x). [para(7941(a,1),3253(a,1,1))]. 7951 (x * R(y,z,y)) / (x * y) = R(a(y,z,y),y,x). [para(7941(a,1),7791(a,1,1)),flip(a)]. 7952 x \ R(x,y,x) != z | a(x,y,x) = z. [para(7948(a,1),237(a,1,2)),flip(b)]. 7953 (x * a(y,z,y)) / R(y,z,y) != u | R(x / y,y,a(y,z,y)) = u. [para(7948(a,1),451(a,1,2))]. 7954 K(x * y,x) * K(x,y) != z | a(x,y,x) = z. [para(7943(a,1),3914(a,1,2)),flip(b)]. 7955 (x * y) \ (y * (T(z * T(x,y),z) / z)) = L(a(z,T(x,y),z),T(x,y),y). [para(7944(a,2),153(a,1,2,2))]. 7956 (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(7944(a,2),347(a,1,2,2))]. 7957 (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) != w | L(L(a(u,z,u),z,y),y * z,x) = w. [para(7944(a,2),646(a,1,2,2,2))]. 7958 R(T(a(x,y,x),y * z),T(y,a(x,y,x)),z) = (T(y,a(x,y,x)) * z) \ ((T(x * y,x) / x) * z). [para(7944(a,2),6190(a,1,2,1)),flip(a)]. 7959 (x * y) / L(y,z,y) = x * a(y,z,y). [para(18(a,1),7945(a,1,1)),flip(a)]. 7960 a(x,y,T(x,z)) = x \ R(x,y,x). [hyper(6889,a,7947,a)]. 7961 a(x,y,T(x,z)) != u | a(x,y,x) = u. [para(7960(a,2),7952(a,1))]. 7962 (x / L(y,z,y)) * y = x * a(y,z,y). [hyper(1265,a,7959,a)]. 7963 L(x,y,x) * (z * a(x,y,x)) = x * z. [para(7959(a,1),7850(a,1,2))]. 7964 x * (L(x,y,x) \ z) = z * a(x,y,x). [hyper(189,a,7569,a(flip),b,7962,a(flip)),flip(a)]. 7965 L(x,y,x) \ 1 = x \ a(x,y,x). [hyper(75,a,14,a(flip),b,7964,a),flip(a)]. 7966 T(x,y) * (L(T(x,y),z,x) \ u) = u * a(x,z,x). [hyper(189,a,7672,a,b,7964,a(flip)),flip(a)]. 7967 T(x,y) * (L(T(x,y),z,x) \ u) = u * a(T(x,y),z,T(x,y)). [para(6528(a,1),7964(a,1,2,1))]. 7968 K(R(L(x,y,x),x \ a(x,y,x),z),u) = K(L(x,y,x),u). [para(7965(a,1),5752(a,1,1,2))]. 7969 K(x,x * y) * (z * a(x,y,x)) = K(x,y) * z. [hyper(3907,a,7946,a)]. 7970 K(x,x * y) * z != K(x,y) * u | u * a(x,y,x) = z. [para(7969(a,1),22(a,1)),flip(a)]. 7971 T(x,y) * (L(T(x,y),z,x) \ u) != u * w | a(x,z,x) = w. [para(7966(a,2),22(a,1))]. 7972 K(x,y) * (z * a(y,u,y)) = y * (L(T(y,x),u,y) \ z). [para(7966(a,1),4383(a,1,2))]. 7973 K(R(x,x \ a(x,y,x),z),u) = K(L(x,y,x),u). [hyper(189,a,7578,a(flip),b,7968,a(flip)),flip(a)]. 7974 K(R(x,x \ a(x,y,x),z),u) = K(x,u). [hyper(189,a,6465,a(flip),b,7973,a)]. 7977 R(K(x,y),a(x,z,x),u) = K(x,y). [hyper(189,a,5749,a(flip),b,7974,a(flip)),flip(a)]. 7978 (K(x,y) * a(x,z,x)) * u = K(x,y) * (a(x,z,x) * u). [para(7977(a,1),110(a,1,1)),flip(a)]. 7979 K(x,x * y) * (a(x,y,x) * z) = K(x,y) * z. [para(7943(a,1),7978(a,1,1)),flip(a)]. 7980 a(x,y,x) * z = z * a(x,y,x). [hyper(7970,a,7979,a),flip(a)]. 7981 (a(x,y,x) \ z) * a(x,y,x) = z. [hyper(203,a,7980,a)]. 7982 T(x,a(y,z,y)) = x. [hyper(149,a,7980,a)]. 7983 T(a(x,y,x),z) = a(x,y,x). [hyper(147,a,7980,a,b,xx)]. 7984 a(x,y,x) * K(y,x) = K(x * y,x). [hyper(7942,a,7980,a(flip)),flip(a)]. 7985 a(x,y,x) * z != z * u | a(x,y,x) = u. [para(7980(a,2),22(a,1))]. 7988 (x * (y * a(z,u,z))) \ (x * (a(z,u,z) * (y * w))) = L(L(w,y,a(z,u,z)),a(z,u,z) * y,x). [para(7980(a,1),348(a,1,1,2))]. 7989 (x * (y * a(z,u,z))) \ ((x * a(z,u,z)) * (L(y,a(z,u,z),x) * w)) = L(w,L(y,a(z,u,z),x),x * a(z,u,z)). [para(7980(a,1),347(a,1,1,2))]. 7990 K(x,a(y,z,y)) = 1. [hyper(39,a,7982,a)]. 7992 x * K(y,a(z,u,z)) != w | x = w. [para(7990(a,2),86(a,1,2))]. 7993 x * a(y,z,y) != u | a(y,z,y) * x = u. [para(7983(a,1),205(a,1,2))]. 7994 R(a(x,y,x),z,u) * w = w * R(a(x,y,x),z,u). [para(7983(a,1),160(a,1,2,1)),flip(a)]. 7995 (a(x,y,x) \ 1) \ z = z * a(x,y,x). [hyper(75,a,7981,a(flip),b,486,a)]. 7996 x * (a(x,y,x) \ z) = L(x,y,x) * z. [para(7981(a,1),7963(a,1,2)),flip(a)]. 7998 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(5412(a,1),7984(a,1,2))]. 7999 a(x,y,x) \ 1 = x \ L(x,y,x). [hyper(75,a,15,a(flip),b,7996,a),flip(a)]. 8000 (x \ L(x,y,x)) \ z = z * a(x,y,x). [para(7999(a,1),7995(a,1,1))]. 8001 (a(x,y,x) \ 1) \ z != u | a(x,y,x) * z = u. [para(7995(a,2),7993(a,1))]. 8002 T(x,R(a(y,z,y),u,w)) = x. [hyper(149,a,7994,a)]. 8003 a(T(x,y),z,T(x,y)) = a(x,z,x). [hyper(7971,a,7967,a),flip(a)]. 8005 (x * y) \ (y * T(T(z * x,z) / z,y)) = L(a(z,T(x,y),z),T(x,y),y). [para(1218(a,1),7955(a,1,2,2))]. 8006 L(a(x,T(y,z),x),T(y,z),z) = (y * z) \ ((T(x * y,x) / x) * z). [para(113(a,1),8005(a,1,2)),flip(a)]. 8007 K(x,y) * K(L(x,z,u) * y,T(x,y)) = a(T(x,y),y,L(T(x,y),z,u)). [para(3876(a,1),7932(a,1,1))]. 8008 a(T(x,y),y,L(T(x,y),z,u)) = K(x,y) * K(L(x,z,u) * y,x). [para(7034(a,1),8007(a,1,2)),flip(a)]. 8009 a(T(x,y),y,L(T(x,y),z,u)) = L(x,y,L(x,z,u)) \ x. [hyper(189,a,7041,a(flip),b,8008,a)]. 8010 (x * (y * L(x,z,u))) \ ((x * y) * L(x,z,u)) = x \ R(x,y,L(x,z,u)). [para(1270(a,1),7931(a,1,2))]. 8011 x \ R(x,y,L(x,z,u)) = a(x,y,L(x,z,u)). [hyper(553,a,8010,a),flip(a)]. 8012 K(x,y) * K(y * L(x,z,u),x) = a(x,y,L(x,z,u)). [hyper(7044,a,8011,a)]. 8013 K(x,y) * R(x,z,L(x,u,w)) = T(x,y) * a(x,z,L(x,u,w)). [para(8011(a,1),4377(a,1,2)),flip(a)]. 8014 T(x,y) \ R(T(x,y),z,L(x,u,w)) = a(T(x,y),z,L(T(x,y),u,w)). [para(7662(a,1),8011(a,1,2))]. 8015 K(x,y) * K(y,x * L(y,z,u)) = a(y,x,L(y,z,u)) \ 1. [para(8012(a,1),7060(a,1,1)),flip(a)]. 8016 (x / (y * K(z,y))) * R(y * K(z,y),z,L(y,u,w)) = x * a(y,z,L(y,u,w)). [para(8012(a,1),6641(a,2,2))]. 8017 T(x,y) * a(x,z,L(x,u,w)) = R(T(x,y),z,L(x,u,w)). [hyper(6731,a,8013,a),flip(a)]. 8018 T(x,y) \ R(T(x,y),z,L(x,u,w)) != v5 | a(x,z,L(x,u,w)) = v5. [para(8017(a,1),237(a,1,2)),flip(b)]. 8019 a(T(x,y),z,L(T(x,y),u,w)) != v5 | a(x,z,L(x,u,w)) = v5. [para(8014(a,1),8018(a,1))]. 8020 L(x,y,L(x,z,u)) \ x = a(x,y,L(x,z,u)). [hyper(8019,a,8009,a),flip(a)]. 8021 a(x,y,L(x,z,u)) \ x = L(x,y,L(x,z,u)). [para(8020(a,1),5098(a,1,1))]. 8022 ((x / y) * K(y,z)) * R(y * K(z,y),z,L(y,u,w)) = x * a(y,z,L(y,u,w)). [para(5207(a,1),8016(a,1,1))]. 8023 ((x / y) * K(y,z)) * (y * K(z * L(y,u,w),y)) = x * a(y,z,L(y,u,w)). [para(5045(a,1),8022(a,1,2))]. 8024 (x / y) * (T(y,z) * K(z * L(y,u,w),y)) = x * a(y,z,L(y,u,w)). [hyper(189,a,6740,a(flip),b,8023,a(flip)),flip(a)]. 8025 (x / y) * R(y,z,L(y,u,w)) = x * a(y,z,L(y,u,w)). [para(7039(a,1),8024(a,1,2))]. 8026 K(T(x,y * z) * z,T(x,y * z)) = a(x,z,x) * K(z,T(x,y)). [para(8003(a,1),7998(a,1,1)),flip(a)]. 8027 a(x,y,x) * K(y,T(x,z)) = K(x * y,T(x,z)). [hyper(189,a,7584,a(flip),b,8026,a(flip))]. 8029 K(x * y,T(x,z)) * K(x,T(y,z)) = a(x,y,x). [hyper(5404,a,8027,a)]. 8031 R(T(a(x,y,x),y * z),T(y,a(x,y,x)),z) = (y * z) \ ((T(x * y,x) / x) * z). [para(7982(a,1),7958(a,2,1,1))]. 8032 R(a(x,y,x),T(y,a(x,y,x)),z) = (y * z) \ ((T(x * y,x) / x) * z). [para(7983(a,1),8031(a,1,1))]. 8033 (x * y) \ ((T(z * x,z) / z) * y) = R(a(z,x,z),x,y). [para(7982(a,1),8032(a,1,2)),flip(a)]. 8035 L(a(x,T(y,z),x),T(y,z),z) = R(a(x,y,x),y,z). [hyper(189,a,8006,a,b,8033,a(flip)),flip(a)]. 8036 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(4374(a,1),8035(a,1,1,2)),flip(a)]. 8037 R(a(x,y * K(z,y),x),y * K(z,y),z) = L(a(x,y,x),y,z). [para(4374(a,1),8036(a,2,2))]. 8038 (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(1357(a,2),7956(a,1,2,2))]. 8039 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(102(a,1),8038(a,1,2)),flip(a)]. 8040 K(R(x,y,z),x * L(u,x,u)) * ((x * (L(u,x,u) * R(x,y,z))) / (x * L(u,x,u))) = L(R(x,y,z),u,x). [para(7572(a,1),6869(a,1,1))]. 8042 K(R(x,y,z),x * u) * ((x * (L(u,x,u) * R(x,y,z))) / (x * L(u,x,u))) = L(R(x,y,z),u,x). [para(7771(a,1),8040(a,1,1))]. 8043 K(R(x,y,z),x * u) * R((x * (L(u,x,u) * x)) / (x * L(u,x,u)),y,z) = L(R(x,y,z),u,x). [para(1690(a,2),8042(a,1,2))]. 8044 K(R(x,y,z),x * u) * R(x * K(L(u,x,u),x),y,z) = L(R(x,y,z),u,x). [para(4473(a,1),8043(a,1,2,1))]. 8045 K(R(x,y,z),x * u) * R(x * K(u,x),y,z) = L(R(x,y,z),u,x). [para(5409(a,1),8044(a,1,2,1,2))]. 8046 K(R(K(x \ y,x),y,z),K(x \ y,x) * u) * R(K(x \ y,x) * K(u,K(x \ y,x)),y,z) = L((y * z) / ((x * (y / x)) * z),u,K(x \ y,x)). [para(5675(a,2),8045(a,2,1))]. 8048 (K(x,(y * z) / (y * (u \ z))) \ 1) \ (y * (K(u,x) * z)) = (y * (K(u,x) * z)) * ((L(K(x,T(u,z)),z,y) \ 1) \ 1). [para(3871(a,1),7924(a,1,1,1))]. 8049 K(x,(y * z) / (y * (u \ z))) * (y * (K(u,x) * z)) = (y * (K(u,x) * z)) * ((L(K(x,T(u,z)),z,y) \ 1) \ 1). [hyper(3860,a,8048,a)]. 8050 K(x,(y * z) / (y * (u \ z))) * (y * (K(u,x) * z)) = (y * (K(u,x) * z)) * L(K(x,T(u,z)),z,y). [para(2194(a,1),8049(a,2,2))]. 8051 K(x,(y * z) / (y * (u \ z))) * (y * (K(u,x) * z)) = y * z. [hyper(189,a,5931,a(flip),b,8050,a)]. 8052 K(x,(y * z) / (y * (u \ z))) = (y * z) / (y * (K(u,x) * z)). [hyper(76,a,5931,a(flip),b,8050,a),flip(a)]. 8054 K(x,y) * (R(y,z,u) * (K(y,x) * w)) = R(y,z,u) * w. [para(923(a,1),8051(a,1,1,2))]. 8055 (x * (K(y,z) * u)) / (x * u) != w | K((x * u) / (x * (y \ u)),z) = w. [para(8051(a,1),3910(a,1,2))]. 8056 R(K(x,y),z * (K(u,x) * w),v5) = R(K(x,y),z * w,v5). [para(8051(a,1),5767(a,1,2)),flip(a)]. 8057 K(x,y \ (z * (K(u,x) * w))) = K(x,y \ (z * w)). [para(8051(a,1),7615(a,1,2,2)),flip(a)]. 8058 K(x,y \ (z * ((x \ u) * x))) = K(x,y \ (z * u)). [para(4291(a,1),8057(a,1,2,2,2))]. 8059 K(x / y,z \ (u * (y * (x / y)))) = K(x / y,z \ (u * x)). [para(4324(a,1),8057(a,1,2,2,2))]. 8060 K(x,y \ ((x \ 1) * z)) = K(x,y \ (x \ z)). [hyper(189,a,7620,a(flip),b,8058,a(flip))]. 8061 K(x \ 1,y \ ((x \ 1) \ z)) = K(x \ 1,y \ (x * z)). [hyper(189,a,7451,a(flip),b,8060,a(flip))]. 8062 K(1 / x,y \ ((1 / x) \ z)) = K(1 / x,y \ (x * z)). [para(69(a,1),8060(a,1,2,2,1)),flip(a)]. 8063 K(T(x,y),z \ (T(x,y) \ y)) != u | K(x,((x \ 1) * y) / z) = u. [para(8060(a,1),7745(a,1))]. 8064 R(x,y,z) * (K(x,u) * w) = K(x,u) * (R(x,y,z) * w). [hyper(3907,a,8054,a),flip(a)]. 8065 R(x,y,z) * (K(u,x) * w) = K(u,x) * (R(x,y,z) * w). [para(3887(a,1),8054(a,1,2,2)),flip(a)]. 8066 R(K(x,y),z * (u * K(w,x)),v5) = R(K(x,y),z * u,v5). [para(6051(a,1),8056(a,1,2,2))]. 8067 K(L(x,y,z) \ 1,(u \ w) \ ((x \ 1) \ 1)) = L(K(x \ 1,w \ (x * u)),y,z). [para(8061(a,1),6858(a,2,1))]. 8068 K(1 / x,y \ (x * z)) = K(x \ 1,(z \ y) \ x). [hyper(6861,a,8062,a),flip(a)]. 8069 K(x \ 1,(y \ z) \ x) != u | K(x \ 1,z \ (x * y)) = u. [para(8068(a,1),4254(a,1))]. 8070 K(x,y) * (R(x,z,x) * u) = R(T(x,y),z,x) * u. [hyper(189,a,6538,a(flip),b,8064,a(flip))]. 8071 R(x,y,x) * (K(z,x) * (x \ u)) = K(z,x) * ((u / x) * R(x,y,x)). [para(6710(a,1),8065(a,2,2))]. 8072 R(K(x,y),z * y,u) = K(x,R(y * K(w,x),z,u)). [hyper(6753,a,8066,a),flip(a)]. 8073 K(x,R(y * K(z,x),u,w)) = K(x,R(y,u,w)). [hyper(6750,a,8072,a),flip(a)]. 8074 R(K(x,y),(y * K(z,x)) * u,w) = K(x,R(y,u,w)). [hyper(189,a,6184,a,b,8073,a(flip)),flip(a)]. 8076 K(x,R(R(y,K(z,x),u),K(z,x) * u,w)) = K(x,R(y,u,w)). [hyper(189,a,6603,a(flip),b,8074,a(flip)),flip(a)]. 8078 K(x,R(y,K(z,x) * u,w)) = K(x,R(y,u,w)). [hyper(189,a,6602,a(flip),b,8076,a(flip)),flip(a)]. 8080 K(R(x,K(y,z) * u,w),z) = (v5 * K(z,R(x,u,w))) \ v5. [para(8078(a,1),3918(a,1,1,2)),flip(a)]. 8081 K(R(x,K(y,z) * u,w),z) = K(R(x,u,w),z). [hyper(189,a,3918,a(flip),b,8080,a)]. 8082 K(R(x,T(y,z),u),y) = K(R(x,y,u),y). [para(4370(a,1),8081(a,1,1,2)),flip(a)]. 8083 K(R(x,T(y,z),u),T(y,w)) = T(y,w) \ T(y * K(R(x,y,u),y),w). [para(8082(a,1),4658(a,1,2,1,2)),flip(a)]. 8084 K(T(x,y),z \ (x \ y)) = K(x,((x \ 1) * y) / z). [hyper(8063,a,7114,a),flip(a)]. 8085 K(x,((x \ 1) * y) / z) = K(x,y / (z * x)). [hyper(189,a,6449,a(flip),b,8084,a(flip))]. 8086 K(x,(y * z) / (((x \ 1) * z) * x)) = K(x,L(y,z,x \ 1)). [hyper(7155,a,8085,a),flip(a)]. 8087 K(x,(y * z) / L(z,x \ 1,x)) = K(x,L(y,z,x \ 1)). [hyper(189,a,6760,a(flip),b,8086,a(flip)),flip(a)]. 8088 K(x,(y * z) / L(z,x \ 1,x)) = K(x,y). [hyper(189,a,7002,a(flip),b,8087,a)]. 8090 K(x,y / L(z,x \ 1,x)) = K(x,y / z). [para(19(a,1),8088(a,1,2,1))]. 8091 K(x,y / (((x \ 1) * z) * x)) = K(x,y / z). [hyper(189,a,6760,a,b,8090,a(flip)),flip(a)]. 8092 K(x,y / ((x \ 1) \ z)) = K(x,y / (z * x)). [para(17(a,1),8091(a,1,2,2,1)),flip(a)]. 8093 R(K(x,(y / z) / (u * x)),y / z,z) = K(x,y / (((x \ 1) \ u) * z)). [para(8092(a,1),5678(a,1,1))]. 8094 K(x,y) * ((z / y) * R(y,u,y)) = R(y,u,y) * (T(y,x) \ z). [para(4558(a,1),8071(a,1,2)),flip(a)]. 8095 K(R(x,T(y,z),u),T(y,w)) != v5 | K(R(x,y,u),T(y,w)) = v5. [para(8083(a,2),4791(a,1))]. 8096 L(K(x,T(T(y,z),u * z)),z,u) != w | K((u * z) / (u * (x \ z)),y) = w. [para(6741(a,2),8055(a,1))]. 8097 K(x,y / (((x \ 1) \ z) * u)) = K(x,y / ((z * x) * u)). [hyper(189,a,5678,a(flip),b,8093,a(flip))]. 8098 K(x,y / ((z / (x \ 1)) * u)) = K(x,y / ((z * x) * u)). [hyper(189,a,6942,a,b,8097,a(flip)),flip(a)]. 8099 K(x \ 1,y / ((z * (x \ 1)) * u)) = K(x \ 1,y / ((x \ z) * u)). [hyper(189,a,7454,a(flip),b,8097,a(flip))]. 8100 K((x \ 1) \ 1,y / ((z / (x \ 1)) * u)) = K(x,y / ((z * x) * u)). [hyper(4282,a,8098,a)]. 8101 K(x \ 1,y / ((z * (x \ 1)) * u)) = K(x \ 1,y / ((z / x) * u)). [hyper(189,a,7461,a(flip),b,8098,a(flip))]. 8102 K(x \ 1,y / ((z / x) * u)) = K(x \ 1,y / ((x \ z) * u)). [hyper(189,a,8099,a(flip),b,8101,a(flip))]. 8103 (x * y) / (x * (K(z,u) * y)) != w | K((x * y) / (x * (u \ y)),z) = w. [para(7054(a,1),8096(a,1))]. 8104 K((x * y) / (x * (z \ y)),u) = K(z,(x * y) / (x * (u \ y))). [hyper(8103,a,8052,a(flip))]. 8105 K(x,(y * z) / (y * (u \ z))) = (y * (K(x,u) * z)) / (y * z). [hyper(189,a,4957,a(flip),b,8104,a(flip))]. 8106 R(K(x,x \ y),z,T(y,K(x,x \ y) * z)) = K(x,(y * z) / (y * ((x \ y) \ z))). [hyper(189,a,7692,a,b,8105,a),flip(a)]. 8107 K(x,(y * z) / (y * ((x \ y) \ z))) = L(K(x,x \ y),z,y). [hyper(189,a,7664,a(flip),b,8105,a)]. 8108 K(L(x,y,z) \ 1,(u \ w) \ ((x \ 1) \ 1)) = K(L(x,y,z) \ 1,w \ (x * u)). [hyper(189,a,4824,a(flip),b,8067,a)]. 8109 K(L(x,y,z) \ 1,(u \ w) \ x) = K(L(x,y,z) \ 1,w \ (x * u)). [hyper(189,a,7439,a(flip),b,8108,a(flip)),flip(a)]. 8110 K(x,(y * z) / (y * ((x \ y) \ z))) = R(K(x,x \ y),z,T(y,z)). [para(7474(a,1),8106(a,1,3)),flip(a)]. 8111 R(K(x,x \ y),z,T(y,z)) = L(K(x,x \ y),z,y). [hyper(189,a,8107,a(flip),b,8110,a(flip))]. 8113 R(T(K(x,x \ y),z),u,T(y,u)) = T(L(K(x,x \ y),u,y),z). [para(8111(a,1),45(a,2,1))]. 8114 R(K(x,y),z,T(y * x,z)) = L(K(x,x \ (y * x)),z,y * x). [para(3891(a,1),8111(a,1,1))]. 8115 L(K(x,x \ y),z,y) \ K(R(K(x,x \ y),z,T(y,z)),u) = R(K(x,x \ y) * K(u,K(x,x \ y)),z,T(y,z)) \ 1. [para(8111(a,1),4745(a,1,1))]. 8116 R(T(K(x,x \ y),z),u,T(y,u)) = L(T(K(x,x \ y),z),u,y). [hyper(189,a,43,a,b,8113,a)]. 8117 R(K(x,y),z,T(y * x,z)) = L(K(x,y),z,y * x). [para(3891(a,1),8114(a,2,1))]. 8118 ((K(x,y) * z) * T(y * x,z)) / (z * T(y * x,z)) = L(K(x,y),z,y * x). [hyper(189,a,33,a(flip),b,8117,a(flip)),flip(a)]. 8119 R(T(K(x,x \ y),z),u,T(y,u)) = L(K(x,T(x \ y,z)),u,y). [para(5334(a,2),8116(a,2,1))]. 8120 R(K(x,T(x \ y,z)),u,T(y,u)) = L(K(x,T(x \ y,z)),u,y). [para(5334(a,2),8119(a,1,1))]. 8121 L(K(x,y),z,y * x) != u | R(K(x,y),z,T(y * x,z)) = u. [para(8118(a,1),385(a,1))]. 8122 ((x * y) * (K(y,x) * z)) / (z * T(x * y,z)) = L(K(y,x),z,x * y). [para(7472(a,1),8118(a,1,1))]. 8123 ((x * y) * (K(y,x) * z)) / ((x * y) * z) = L(K(y,x),z,x * y). [para(113(a,1),8122(a,1,2))]. 8124 K(x,((y * x) * z) / ((y * x) * (y \ z))) = L(K(x,y),z,y * x). [hyper(189,a,8105,a,b,8123,a(flip)),flip(a)]. 8125 R(K(x,x \ y) * K(z,K(x,x \ y)),u,T(y,u)) \ 1 = L(K(x,x \ y),u,y) \ K(L(K(x,x \ y),u,y),z). [para(8111(a,1),8115(a,1,2,1)),flip(a)]. 8126 R(K(x,x \ y) * K(z,K(x,x \ y)),u,T(y,u)) \ 1 = L(K(x,x \ y),u,y) \ K(x,K(y,L(z,u,y))). [para(7288(a,1),8125(a,2,2))]. 8127 R(K(x,x \ y) * K(z,K(x,x \ y)),u,T(y,u)) \ 1 = L(K(x,x \ y),u,y) \ K(x,K(y,z)). [para(6765(a,1),8126(a,2,2,2))]. 8128 R(K(x,x \ y) * K(z,K(x,x \ y)),u,T(y,u)) \ 1 = L(K(x \ y,x),u,y) * K(x,K(y,z)). [hyper(189,a,5895,a(flip),b,8127,a)]. 8130 R(K(x,T(x \ y,z)),u,T(y,u)) \ 1 = L(K(x \ y,x),u,y) * K(x,K(y,z)). [para(6021(a,1),8128(a,1,1,1))]. 8131 L(K(x \ y,x),z,y) * K(x,K(y,u)) = L(K(x,T(x \ y,u)),z,y) \ 1. [para(8120(a,1),8130(a,1,1)),flip(a)]. 8132 L(K(x \ y,x),z,y) * K(x,K(y,u)) = L(K(T(x \ y,u),x),z,y) * 1. [hyper(189,a,5895,a(flip),b,8131,a)]. 8133 L(K(x \ y,x),z,y) * K(x,K(y,u)) = L(K(x \ y,T(x,u)),z,y) * 1. [para(5380(a,1),8132(a,2,1,1))]. 8134 L(K(x \ y,x),z,y) * K(x,K(y,u)) = L(K(x \ y,T(x,u)),z,y). [hyper(189,a,15,a(flip),b,8133,a)]. 8135 K(x,K(y,z)) * L(K(x \ y,T(x,z)),u,y) = L(K(x,x \ y),u,y) \ 1. [para(8134(a,1),7122(a,1,2))]. 8136 K(x,K(y,z)) * L(K(x \ y,T(x,z)),u,y) != w | L(K(x \ y,x),u,y) = w. [para(8135(a,2),5906(a,1))]. 8137 T(x,y) * K((x \ ((y \ 1) \ x)) * T(x,y),x \ ((y \ 1) \ x)) = (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,T(1 \ y,x)). [para(6840(a,1),5250(a,2,2))]. 8138 T(x,y) * K((x \ ((y \ 1) \ x)) * T(x,y),x \ ((y \ 1) \ x)) = (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,T(y,x)). [para(58(a,1),8137(a,2,2,2,1))]. 8139 T(x,y) * K((x \ ((y \ 1) \ x)) * T(x,y),x \ ((y \ 1) \ x)) = (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y). [para(3615(a,1),8138(a,2,2))]. 8140 T(x,y) * K((y \ 1) \ x,x \ ((y \ 1) \ x)) = (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y). [para(3755(a,1),8139(a,1,2,1))]. 8141 L(K(x \ ((y \ 1) \ x),(x \ ((y \ 1) \ x)) * T(x,y)),T(x,y),z) = (z * ((x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y))) \ (z * T(x,y)). [para(8139(a,1),5909(a,1,1,2)),flip(a)]. 8142 (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y) = T(x,y) * K((y \ 1) \ x,T(1 \ y,x)). [para(6878(a,1),8140(a,1,2)),flip(a)]. 8143 (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y) = T(x,y) * K((y \ 1) \ x,T(y,x)). [para(58(a,1),8142(a,2,2,2,1))]. 8144 (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y) = T(x,y) * K(x / (y \ 1),y). [para(6029(a,1),8143(a,2,2))]. 8145 (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y) = T(x,y) * K(x * y,y). [para(4618(a,1),8144(a,2,2))]. 8146 (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y) = y \ T(x * y,y). [hyper(189,a,7373,a(flip),b,8145,a)]. 8147 (x \ 1) * ((K(y,z) * u) * T((K(z,y) \ u) \ ((x \ 1) \ u),z)) = ((x \ 1) * (K(x,z) * ((x \ 1) \ K(z,y)))) * (K(z,y) \ u). [para(3889(a,1),7170(a,1,2,1))]. 8148 (x \ 1) * ((K(y,z) * u) * T((K(y,z) * u) \ ((x \ 1) \ u),z)) = ((x \ 1) * (K(x,z) * ((x \ 1) \ K(z,y)))) * (K(z,y) \ u). [para(3889(a,1),8147(a,1,2,2,1,1))]. 8149 (x \ 1) * (K(y,z) * (u * T(u \ (K(y,z) \ ((x \ 1) \ u)),z))) = ((x \ 1) * (K(x,z) * ((x \ 1) \ K(z,y)))) * (K(z,y) \ u). [para(713(a,1),8148(a,1,2))]. 8150 (x \ 1) * (y * T(y \ ((x \ 1) \ y),z)) = ((x \ 1) * (K(x,z) * ((x \ 1) \ K(z,u)))) * (K(z,u) \ y). [para(6837(a,1),8149(a,1,2))]. 8151 ((x \ 1) * (K(x,y) * ((x \ 1) \ K(y,z)))) * (K(y,z) \ u) = K((x \ 1) \ 1,y) * u. [hyper(4947,a,8150,a),flip(a)]. 8153 ((x \ 1) * (K(x,y) * ((x \ 1) \ K(y,z)))) * (K(y,z) \ u) = K(x,y) * u. [para(2648(a,1),8151(a,2,1))]. 8154 (K(x,y) * K(y,z)) * (K(y,z) \ u) = K(x,y) * u. [para(4970(a,1),8153(a,1,1))]. 8155 (K(x,y) * K(y,z)) * u = K(x,y) * (K(y,z) * u). [para(16(a,1),8154(a,1,2))]. 8157 (K(x,y) * (K(y,z) * u)) / (K(x,y) * K(y,z)) = u * K(K(x,y) * K(y,z),u). [hyper(76,a,8155,a(flip),b,4405,a)]. 8158 (K(x,y) * K(z,x)) * u = K(z,x) * (K(x,y) * u). [para(1959(a,2),8155(a,1,1))]. 8159 (K(x,y) * K(z,x)) * u = K(x,y) * (K(z,x) * u). [hyper(189,a,5830,a,b,8158,a)]. 8160 (K(x,y) * K(z,x)) * (K(y,x) * u) = K(z,x) * u. [para(3887(a,1),8158(a,2,2))]. 8161 L(x,K(y,z),K(z,u)) = x. [hyper(346,a,8159,a)]. 8162 x \ (K(y,z) * (K(u,y) * x)) = T(K(y,z) * K(u,y),x). [hyper(147,a,8159,a,b,17,a),flip(a)]. 8164 T(T(x,K(y,z)),K(y,u)) = T(x,K(y,u) * K(z,y)). [hyper(189,a,7783,a(flip),b,8161,a(flip))]. 8167 L(x,K(y,T(z,u)),K(z,w)) = x. [para(5337(a,1),8161(a,1,2))]. 8168 (K(x,y) * K(z,T(x,u))) * w = K(x,y) * (K(z,T(x,u)) * w). [para(8167(a,1),102(a,1,2))]. 8169 (K(x,y) * K(z,x)) \ u = K(y,x) * (K(x,z) * u). [hyper(75,a,3887,a(flip),b,8160,a)]. 8170 T(T(x,K(y,z)),K(y,u)) = T(x,K(y,z) * K(u,y)). [hyper(333,a,8164,a)]. 8172 (K(x,y) * K(y,z)) \ u = K(z,y) * (K(y,x) * u). [para(1959(a,1),8169(a,1,1))]. 8173 x * K(x,K(y,z) * K(u,y)) = T(T(x,K(y,z)),K(y,u)). [hyper(189,a,4396,a(flip),b,8170,a),flip(a)]. 8174 T(x,K(y,z) * K(u,y)) = T(x,K(y,u) * K(z,y)). [hyper(189,a,8164,a(flip),b,8170,a(flip))]. 8175 (K(x,y) * K(y,z)) \ u = (K(y,x) * K(z,y)) * u. [hyper(189,a,8158,a,b,8172,a)]. 8176 T(x * K(K(y,z) * K(u,y),x),K(y,u) * K(z,y)) = x. [hyper(4482,a,8174,a)]. 8177 x * K(x,K(y,z) * K(u,y)) = T(x,K(y,u) * K(z,y)). [hyper(4414,a,8174,a)]. 8178 (x * (K(y,z) * K(u,y))) / T(((K(y,z) * K(u,y)) \ x) * (K(y,z) * K(u,y)),K(y,u) * K(z,y)) = T(K(y,z) * K(u,y),(K(y,z) * K(u,y)) \ x). [para(8174(a,1),4022(a,1,2))]. 8180 T(K(x,y),z) * T(K(y,u),z) = T(K(y,u) * K(x,y),z). [hyper(189,a,7120,a(flip),b,8162,a(flip)),flip(a)]. 8181 T(K(x,y) * K(z,x),K(x,z) * u) = (K(x,z) * u) \ (K(x,y) * u). [para(3887(a,1),8162(a,1,2,2)),flip(a)]. 8182 T(K(x,K(y,z)) * x,K(y,u)) = x * K(x,K(y,z) * K(u,y)). [para(4403(a,1),8173(a,2,1)),flip(a)]. 8184 T(K(x,y) * K(y * R(x,z,u),x),w) = a(x,y,R(x,z,u)). [hyper(189,a,7904,a(flip),b,8180,a(flip))]. 8187 K(x,K(y,z)) * T(x,K(y,u)) = x * K(x,K(y,z) * K(u,y)). [hyper(189,a,6849,a(flip),b,8182,a(flip)),flip(a)]. 8188 K(x,K(y,z)) * K(x,K(y,u)) = K(x,K(y,z) * K(u,y)). [hyper(4800,a,8187,a)]. 8189 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(189,a,6873,a,b,8188,a(flip)),flip(a)]. 8190 (K(x,y) * K(z,x)) \ (K((K(x,y) * K(z,x)) \ u,K(x,y)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = (((K(x,y) * K(z,x)) \ u) \ u) \ 1. [para(8188(a,2),4465(a,2,2)),flip(a)]. 8191 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(6259(a,1),8188(a,1,1))]. 8192 (K(x,y) * (K(y,z) * u)) * (K(y,x) * K(z,y)) = u * K(K(x,y) * K(y,z),u). [hyper(6650,a,8157,a)]. 8193 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(5966(a,1),8189(a,1,2,2,2))]. 8194 K(x * K(y,z),K(y,u) * K(w,y)) = K(x,K(y,u)) * K(x,K(y,w)). [para(6259(a,1),8191(a,1,2)),flip(a)]. 8195 K(x * K(y,z),K(y,u) * K(w,y)) = K(x,K(y,u) * K(w,y)). [hyper(189,a,8188,a(flip),b,8194,a)]. 8198 K(K(x,y) * z,K(y,u) * K(w,y)) = K(z,K(y,u) * K(w,y)). [para(5348(a,1),8195(a,1,1)),flip(a)]. 8199 T((K(x,y) * z) * K(y,x),K(x,u)) = z * K(K(u,x) * K(x,y),z). [hyper(7764,a,8192,a)]. 8200 x * K(K(y,z) * K(z,u),x) = T(T(x,K(z,u)),K(z,y)). [para(6115(a,1),8199(a,1,1)),flip(a)]. 8201 x * K(K(y,z) * K(z,u),x) = T(x,K(z,u) * K(y,z)). [hyper(189,a,8170,a(flip),b,8200,a)]. 8202 K(K(x,y) * K(y,z),u) = K(u,K(y,x) * K(z,y)). [hyper(20,a,8177,a,b,8201,a)]. 8203 x * K(K(y,z) * K(u,y),x) = T(x,K(y,z) * K(u,y)). [para(1959(a,2),8201(a,1,2,1))]. 8204 K(K(x,y) * K(z,x),u) = K(u,K(x,y) * K(z,x)). [hyper(20,a,4396,a(flip),b,8203,a)]. 8205 T(T(x,K(y,z) * K(u,y)),K(y,u) * K(z,y)) = x. [para(8203(a,1),8176(a,1,1))]. 8206 K(K(x,y) * K(z,x),u) = K(u,K(z,x) * K(x,y)). [para(1959(a,1),8204(a,2,2))]. 8207 (K(x,y) * K(z,x)) * K(u,K(x,y) * K(z,x)) = T(K(x,y) * K(z,x),u). [para(8204(a,1),4396(a,2,2)),flip(a)]. 8208 K(K(x,y) * K(y,z),u) = K(u,K(x,y) * K(y,z)). [para(1959(a,1),8206(a,1,1))]. 8209 K(x,K(y,z) * K(u,y)) = K(x,K(z,y) * K(y,u)). [hyper(189,a,8202,a(flip),b,8208,a(flip)),flip(a)]. 8210 K(K(x,y) * z,K(u,y) * K(y,w)) = K(z,K(y,u) * K(w,y)). [hyper(189,a,8198,a(flip),b,8209,a(flip))]. 8211 T(x * K(y,z),K(z,u)) / (K(u,z) * x) = (K(y,z) * K(z,u)) * K(x,K(z,y) * K(u,z)). [para(8210(a,1),7773(a,2,2))]. 8212 (x * (K(y,z) * K(u,y))) / x = T(K(y,z) * K(u,y),x). [hyper(4384,a,8207,a)]. 8213 T(x * K(y,z),K(z,u)) / (K(u,z) * x) = T(K(z,u) * K(y,z),K(u,z) * x). [para(7761(a,1),8212(a,1,1))]. 8214 K(x,K(y,z)) * K(x,K(z,u)) = K(z,K(x,y) * K(u,x)). [hyper(3844,a,8193,a)]. 8215 T(x * K(y,z),K(z,u)) / (K(u,z) * x) = K(y,z) * (K(z,u) * K(x,K(z,y) * K(u,z))). [hyper(189,a,8155,a(flip),b,8211,a)]. 8217 (1 / (1 / (x * L(x \ 1,y,z)))) \ (x / x) = (x / (x * L(x \ 1,y,z))) / x. [para(19(a,1),2601(a,1,2,1))]. 8218 (1 / (1 / (x * L(x \ 1,y,z)))) \ 1 = (x / (x * L(x \ 1,y,z))) / x. [para(64(a,1),8217(a,1,2))]. 8220 (x / (x * L(x \ 1,y,z))) / x = 1 / (x * L(x \ 1,y,z)). [hyper(236,a,8218,a)]. 8223 (L(1 / x,y,z) \ 1) / x = 1 / (x * L(x \ 1,y,z)). [para(2174(a,1),8220(a,1,1))]. 8224 1 / (x * L(x \ 1,y,z)) = L(1 / x,y,z) \ (1 / x). [hyper(189,a,5008,a(flip),b,8223,a(flip))]. 8225 1 / (x * L(x \ 1,y,z)) = L(x \ 1,y,z) \ (x \ 1). [hyper(189,a,5085,a(flip),b,8224,a)]. 8226 1 / ((x \ 1) * L((x \ 1) \ 1,y,z)) = L(x,y,z) \ x. [hyper(189,a,5779,a(flip),b,8225,a)]. 8227 (1 / (x * L(x \ 1,y,z))) \ (L(x \ 1,y,z) \ 1) = (x \ 1) \ 1. [para(8225(a,2),5007(a,1,1))]. 8228 1 / (x \ L(x,y,z)) = L(x,y,z) \ x. [para(854(a,1),8226(a,1,2))]. 8229 (L(x,y,z) \ x) * (x \ L(x,y,z)) = 1. [para(8228(a,1),19(a,1,1))]. 8230 (L(x,y,z) \ x) * T(x \ L(x,y,z),u) = K(x \ L(x,y,z),u). [para(8228(a,1),4390(a,2,1)),flip(a)]. 8231 ((((x \ L(x,y,z)) * u) / (((L(x,y,z) \ x) * (x \ L(x,y,z))) * u)) \ 1) \ 1 = K((L(x,y,z) \ x) \ 1,L(x,y,z) \ x) * (((x \ L(x,y,z)) * u) / (1 * u)). [para(8229(a,1),5661(a,1,2,2,1)),flip(a)]. 8232 (((x * y) \ x) \ 1) / ((y \ 1) \ 1) = 1 / (y * ((x * y) \ x)). [para(8227(a,1),7705(a,1,2))]. 8233 (1 / ((x * y) \ x)) / y = 1 / (y * ((x * y) \ x)). [hyper(189,a,4929,a(flip),b,8232,a(flip)),flip(a)]. 8234 (1 / ((x * y) \ x)) / y = (y * ((x * y) \ x)) \ 1. [hyper(189,a,5806,a(flip),b,8233,a)]. 8235 (x * ((y * x) \ y)) \ 1 = x \ (1 / ((y * x) \ y)). [hyper(189,a,7876,a(flip),b,8234,a(flip))]. 8236 ((x * ((y * x) \ y)) \ 1) \ (1 / ((y * x) \ y)) = x. [para(8234(a,1),69(a,1,1))]. 8237 ((x * ((y * x) \ y)) \ 1) * T(x,z) = T(x,z) / (x * ((y * x) \ y)). [para(8236(a,1),4187(a,1,2,1))]. 8238 ((x * ((y * x) \ y)) \ 1) * T(x,z) = (x * ((y * x) \ y)) \ T(x,z). [hyper(189,a,5806,a(flip),b,8237,a)]. 8239 (x \ (1 / ((y * x) \ y))) * T(x,z) = (x * ((y * x) \ y)) \ T(x,z). [para(8235(a,1),8238(a,1,1))]. 8240 T((1 / ((x * y) \ x)) * K(y,z),y) = (y * ((x * y) \ x)) \ T(y,z). [hyper(189,a,7877,a,b,8239,a(flip)),flip(a)]. 8241 T(T(1 / ((x * y) \ x),z),y) = (y * ((x * y) \ x)) \ T(y,z). [para(5238(a,1),8240(a,1,1))]. 8242 (x * ((y * x) \ y)) \ T(x,z) = T(1 / ((y * x) \ y),z). [hyper(189,a,5601,a(flip),b,8241,a(flip))]. 8243 1 / ((x * T(y,z)) \ x) = T(1 / ((x * y) \ x),z). [hyper(189,a,7112,a(flip),b,8242,a(flip)),flip(a)]. 8244 T(1 / ((x * y) \ x),z) \ 1 = (x * T(y,z)) \ x. [para(8243(a,1),69(a,1,1))]. 8245 ((x * T(y,z)) \ x) \ 1 = T(((x * y) \ x) \ 1,z). [para(8244(a,1),2096(a,1,1))]. 8246 T(((x * y) \ x) \ 1,x) = ((y * x) \ x) \ 1. [para(113(a,1),8245(a,1,1,1)),flip(a)]. 8247 L(x \ 1,x,y) \ K(x,y) = ((x * y) \ y) \ 1. [hyper(189,a,902,a(flip),b,8246,a(flip)),flip(a)]. 8248 L((K(x,y) * K(z,x)) \ 1,K(x,y) * K(z,x),u) \ K(K(x,y) * K(z,x),u) = (((K(y,x) * K(x,z)) \ u) \ u) \ 1. [para(8175(a,2),8247(a,2,1,1))]. 8249 (((K(x,y) * K(y,z)) \ u) \ u) \ 1 = (K(x,y) * K(y,z)) \ K(K(y,x) * K(z,y),u). [para(6649(a,1),8248(a,1,1)),flip(a)]. 8250 (((K(x,y) * K(y,z)) \ u) \ u) \ 1 = (K(y,x) * K(z,y)) * K(K(y,x) * K(z,y),u). [hyper(189,a,8175,a(flip),b,8249,a)]. 8252 (((K(x,y) * K(y,z)) \ u) \ u) \ 1 = T(K(y,x) * K(z,y),u). [hyper(189,a,4396,a,b,8250,a)]. 8253 ((K(x,y) * (K(y,z) * u)) \ u) \ 1 = T(K(y,z) * K(x,y),u). [para(8172(a,1),8252(a,1,1,1))]. 8254 K(x,y \ (x \ 1)) / ((L(y * (x * ((y \ 1) / x)),z,u) \ 1) * (y * (x * ((y \ 1) / x)))) = L(K(y \ (x \ 1),x) \ 1,z,u). [para(6782(a,1),6788(a,1,1))]. 8255 K(x,y \ (x \ 1)) / ((L(K(x,y \ (x \ 1)),z,u) \ 1) * (y * (x * ((y \ 1) / x)))) = L(K(y \ (x \ 1),x) \ 1,z,u). [para(6782(a,1),8254(a,1,2,1,1,1))]. 8256 K(x,y \ (x \ 1)) / ((K(x,L(x * y,z,u) \ 1) \ 1) * (y * (x * ((y \ 1) / x)))) = L(K(y \ (x \ 1),x) \ 1,z,u). [para(6776(a,1),8255(a,1,2,1,1))]. 8257 K(x,y \ (x \ 1)) / (K(L(x * y,z,u) \ 1,x) * (y * (x * ((y \ 1) / x)))) = L(K(y \ (x \ 1),x) \ 1,z,u). [para(3871(a,1),8256(a,1,2,1))]. 8258 K(x,y \ (x \ 1)) / (K(L(x * y,z,u) \ 1,x) * K(x,y \ (x \ 1))) = L(K(y \ (x \ 1),x) \ 1,z,u). [para(6782(a,1),8257(a,1,2,2))]. 8259 (x * K(y,z * x)) / T(T(K(y,z),x * K(y,z * x)),x * K(y,z * x)) = (K(y,z * x) * x) / K(y,T(z,x * K(y,z * x))). [para(5334(a,2),6848(a,2,2))]. 8260 (x * K(y,z * x)) / T(T(K(y,z),x * K(y,z * x)),x * K(y,z * x)) = (K(y,z * x) * x) / K(y,T(z,x)). [para(7593(a,1),8259(a,2,2))]. 8261 (x * K(y,z * x)) / T(T(K(y,z),x * K(y,z * x)),x * K(y,z * x)) = (K(y,z * x) * x) * K(z,T(y,x)). [hyper(189,a,5401,a(flip),b,8260,a)]. 8263 (x * K(y,z * x)) / T(T(K(y,z),x * K(y,z * x)),x * K(y,z * x)) = K(y,z * x) * (x * K(z,T(y,x))). [hyper(189,a,6906,a(flip),b,8261,a)]. 8264 (x * K(y,z * x)) / T(T(K(y,z),x * K(y,z * x)),x * K(y,z * x)) = K(y,z * x) * (K(z,y) * x). [para(5345(a,1),8263(a,2,2))]. 8265 (x * K(y,z * x)) / K(y,z) = K(y,z * x) * (K(z,y) * x). [para(6031(a,1),8264(a,1,2))]. 8266 (x * K(y,z * x)) * K(z,y) = K(y,z * x) * (K(z,y) * x). [hyper(3930,a,8265,a)]. 8268 K(x,y * z) * (K(y,x) * z) != u | z * (K(x,y * z) * K(y,x)) = u. [para(8266(a,1),6764(a,1))]. 8269 L(x,y,z) * (K(x,u * L(x,y,z)) * K(u,x)) = L(L(x,u,x),y,z). [hyper(8268,a,7860,a)]. 8270 L(x,y,z) * (K(u,x) * K(x,u * L(x,y,z))) = L(L(x,u,x),y,z). [para(1959(a,1),8269(a,1,2))]. 8271 L(x,y,z) * (a(x,u,L(x,y,z)) \ 1) = L(L(x,u,x),y,z). [para(8015(a,1),8270(a,1,2))]. 8272 L(x,y,z) \ L(L(x,u,x),y,z) = a(x,u,L(x,y,z)) \ 1. [hyper(80,a,8271,a)]. 8273 K(x * (y \ T(y * z,y)),K(y * z,L(y,z,x))) / ((x * z) / (x * (y \ T(y * z,y)))) = 1 / ((x * (y \ T(y * z,y))) \ (x * z)). [para(7286(a,1),5941(a,1,1))]. 8274 L(K(x \ ((y \ 1) \ x),(x \ ((y \ 1) \ x)) * T(x,y)),T(x,y),z) = (z * (y \ T(x * y,y))) \ (z * T(x,y)). [para(8146(a,1),8141(a,2,1,2))]. 8275 K(x * (y \ T(y * z,y)),K(y * z,y)) / ((x * z) / (x * (y \ T(y * z,y)))) = 1 / ((x * (y \ T(y * z,y))) \ (x * z)). [para(6689(a,1),8273(a,1,1,2))]. 8276 K(x * y,K(z * (x \ T(x * y,x)),x)) / ((z * y) / (z * (x \ T(x * y,x)))) = 1 / ((z * (x \ T(x * y,x))) \ (z * y)). [para(5966(a,1),8275(a,1,1))]. 8278 K(x * y,K(z * (x \ (x * y)),x)) / ((z * y) / (z * (x \ T(x * y,x)))) = 1 / ((z * (x \ T(x * y,x))) \ (z * y)). [para(6248(a,1),8276(a,1,1,2))]. 8279 K(x * y,K(z * y,x)) / ((z * y) / (z * (x \ T(x * y,x)))) = 1 / ((z * (x \ T(x * y,x))) \ (z * y)). [para(16(a,1),8278(a,1,1,2,1,2))]. 8280 K(x,K(x * y,z * y)) / ((z * y) / (z * (x \ T(x * y,x)))) = 1 / ((z * (x \ T(x * y,x))) \ (z * y)). [para(5969(a,1),8279(a,1,1))]. 8281 K(x,K(y,z * y)) / ((z * y) / (z * (x \ T(x * y,x)))) = 1 / ((z * (x \ T(x * y,x))) \ (z * y)). [para(6003(a,1),8280(a,1,1))]. 8282 K(x,K(y,z)) / ((y * z) / (y * (x \ T(x * z,x)))) = 1 / ((y * (x \ T(x * z,x))) \ (y * z)). [para(5992(a,1),8281(a,1,1))]. 8283 K(x,K(y,z)) / ((x * z) / (x * (y \ T(y * z,y)))) = 1 / ((x * (y \ T(y * z,y))) \ (x * z)). [para(5966(a,1),8282(a,1,1))]. 8284 K(x,K(y,z)) / L(K(y,T(z * y,x)),z,x) = 1 / ((x * (y \ T(y * z,y))) \ (x * z)). [para(7613(a,1),8283(a,1,2))]. 8285 K(x,K(y,z)) * L(K(T(z * y,x),y),z,x) = 1 / ((x * (y \ T(y * z,y))) \ (x * z)). [hyper(5908,a,8284,a)]. 8286 K(x,K(y,z)) * L(K(z * y,T(y,x)),z,x) = 1 / ((x * (y \ T(y * z,y))) \ (x * z)). [para(5380(a,1),8285(a,1,2,1))]. 8287 1 / ((x * (y \ T(y * z,y))) \ (x * z)) != K(x,K(y,z)) * u | L(K(z * y,T(y,x)),z,x) = u. [para(8286(a,1),22(a,1))]. 8288 (((T(x,y) \ 1) * x) * T((x \ 1) \ 1,y)) * (T((x \ 1) \ 1,y) \ y) = y * T(y \ T(y * K(x \ 1,x),x),T((x \ 1) \ 1,y)). [para(5520(a,1),4019(a,1,1,1))]. 8289 x * T(x \ T(x * K(y \ 1,y),y),T((y \ 1) \ 1,x)) = (K(x,y) * T(y,x)) * (T((y \ 1) \ 1,x) \ x). [para(4789(a,1),8288(a,1,1)),flip(a)]. 8290 x * T(x \ T(x * K(y \ 1,y),y),T((y \ 1) \ 1,x)) = y * (T((y \ 1) \ 1,x) \ x). [para(4370(a,1),8289(a,2,1))]. 8291 x * T(x \ T(x * K(y \ 1,y),y),T((y \ 1) \ 1,x)) = y \ (x * (1 / (1 / y))). [hyper(189,a,4984,a(flip),b,8290,a)]. 8292 x * T((T(y,x) \ 1) * y,T((y \ 1) \ 1,x)) = y \ (x * (1 / (1 / y))). [para(5595(a,1),8291(a,1,2,1))]. 8293 x * T((T(y,x) \ 1) * y,T(y,x)) = y \ (x * (1 / (1 / y))). [para(2676(a,1),8292(a,1,2))]. 8294 x \ (y * (1 / (1 / x))) = y * ((T(x,y) \ 1) * x). [para(6852(a,1),8293(a,1,2)),flip(a)]. 8295 K((x * (1 / (1 / y))) \ (y * z),T(z,u)) = K((x * ((T(y,x) \ 1) * y)) \ z,T(z,u)). [para(8294(a,1),5538(a,1,1,1)),flip(a)]. 8297 K((x * ((T(y,x) \ 1) * y)) \ z,T(z,u)) = K((x * y) \ (((y \ 1) \ 1) * z),T(z,u)). [para(3259(a,1),8295(a,1,1)),flip(a)]. 8298 K((x * ((T(y,x) \ 1) * y)) \ z,T(z,u)) = K((x * y) \ (z * y),T(z,u)). [hyper(189,a,6578,a(flip),b,8297,a)]. 8299 K((x * ((T(y,x) \ 1) * y)) \ z,T(z,x)) = K(x \ z,T(z,y)). [hyper(189,a,7099,a(flip),b,8298,a)]. 8300 K(T(x,y) \ z,T(z,x)) = K(x \ z,T(z,y)). [hyper(189,a,5584,a(flip),b,8299,a(flip)),flip(a)]. 8301 K(T(x,y) \ z,z) = K(x \ z,T(z,y)). [hyper(189,a,7530,a(flip),b,8300,a(flip)),flip(a)]. 8302 R(x,y,z) \ R(x * K(u \ x,T(x,w)),y,z) = K(T(u,w) \ x,R(x,y,z)). [para(8301(a,1),4741(a,1,2,1,2))]. 8303 K(T(x,y) \ z,R(z,u,w)) = K(x \ z,R(T(z,y),u,w)). [hyper(189,a,7049,a(flip),b,8302,a(flip))]. 8304 (x * y) / (R((z \ R(1 / u,u,x)) * z,u * x,y) * ((u * x) * y)) = K(z,(x * y) / (z * (R(R(1 / u,u,x),u * x,y) \ (x * y)))). [para(3270(a,2),5702(a,1,2,1))]. 8305 (1 / (x \ y)) \ R(1 / (x \ y),z,L(1 / (x \ y),x \ y,x)) = K(z * (1 / (1 / (y \ x))),T(y \ x,z)) * K(1 / (x \ y),z). [para(6876(a,1),7046(a,2,1))]. 8306 (1 / (x \ y)) \ R(1 / (x \ y),z,L(1 / (x \ y),x \ y,x)) = K(z * (y \ x),y \ x) * K(1 / (x \ y),z). [para(7178(a,1),8305(a,2,1))]. 8307 (1 / (x \ y)) \ R(1 / (x \ y),z,L(1 / (x \ y),x \ y,x)) = K(z * (y \ x),y \ x) * K((x \ y) \ 1,z). [para(2647(a,1),8306(a,2,2))]. 8309 (1 / (x \ y)) \ R(1 / (x \ y),z,L(1 / (x \ y),x \ y,x)) = K(z * (y \ x),y \ x) * K(y \ x,z). [para(5209(a,1),8307(a,2,2))]. 8310 (1 / (x \ y)) \ R(1 / (x \ y),z,L(1 / (x \ y),x \ y,x)) = (y \ x) \ R(y \ x,z,y \ x). [hyper(189,a,4697,a(flip),b,8309,a)]. 8311 (1 / (x \ y)) \ R(1 / (x \ y),z,1 / (1 / (y \ x))) = (y \ x) \ R(y \ x,z,y \ x). [para(2196(a,1),8310(a,1,2,3))]. 8312 (1 / (x \ y)) \ R(1 / (x \ y),z,y \ x) = (y \ x) \ R(y \ x,z,y \ x). [para(4079(a,1),8311(a,1,2))]. 8313 (x \ y) * R((x \ y) \ 1,z,y \ x) = (y \ x) \ R(y \ x,z,y \ x). [hyper(859,a,8312,a)]. 8314 (x \ y) \ R(x \ y,z,x \ y) = y \ (x * R(x \ y,z,x \ y)). [hyper(189,a,1315,a(flip),b,8313,a(flip))]. 8315 T(x,x \ y) \ R((x \ y) \ y,z,(x \ y) \ y) = y \ ((x \ y) * R((x \ y) \ y,z,(x \ y) \ y)). [hyper(535,a,8314,a)]. 8316 T(x,x \ y) \ R((x \ y) \ y,z,(x \ y) \ y) = y \ (R(x,z,(x \ y) \ y) * (x \ y)). [para(513(a,1),8315(a,2,2))]. 8317 T(x,x \ y) \ R((x \ y) \ y,z,(x \ y) \ y) = y \ (R(x,z,x) * (x \ y)). [para(7715(a,1),8316(a,2,2,1))]. 8318 x \ (R(y,z,y) * (y \ x)) = y \ R(y,z,y). [hyper(189,a,7723,a(flip),b,8317,a(flip))]. 8321 R(x,y,x) * (x \ z) = z * (x \ R(x,y,x)). [para(8318(a,1),17(a,1,2)),flip(a)]. 8322 R(x,y,x) * (x \ z) = z * a(x,y,x). [para(7941(a,1),8321(a,2,2))]. 8323 (x / y) * ((y \ z) \ T(z,y)) = x * a(y,y \ z,y). [hyper(189,a,6713,a(flip),b,8322,a(flip)),flip(a)]. 8324 (x / y) * R(y,z,y) = x * a(y,z,y). [hyper(189,a,6710,a(flip),b,8322,a(flip)),flip(a)]. 8325 (x * a(y,z,y)) / R(y,z,y) = x / y. [hyper(76,a,8322,a(flip),b,6710,a(flip))]. 8326 x * (y * a(x,z,x)) = R(x,z,x) * y. [para(8322(a,1),924(a,1,2))]. 8327 (x * a(y,z,y)) \ (x * R(y,z,y)) = y. [para(8322(a,1),6712(a,1,1))]. 8328 (x * y) * a(y,z,y) = x * R(y,z,y). [para(18(a,1),8324(a,1,1)),flip(a)]. 8329 (x / y) * R(y,z,y) != x * u | a(y,z,y) = u. [para(8324(a,2),22(a,1))]. 8330 ((x \ y) * L(x,z,u)) * R(T(x,x \ y),w,T(x,x \ y)) = (y * L(x,z,u)) * a(T(x,x \ y),w,T(x,x \ y)). [para(1279(a,1),8324(a,1,1))]. 8331 K(x,y) * ((z / y) * R(y,u,y)) = y * (L(T(y,x),u,y) \ z). [para(8324(a,2),7972(a,1,2))]. 8332 R(x / y,y,a(y,z,y)) = x / y. [hyper(7953,a,8325,a)]. 8333 R((x * y) / y,y,a(y,z,y)) = x. [hyper(189,a,18,a(flip),b,8332,a)]. 8334 R(x,y,a(y,z,y)) = x. [para(18(a,1),8333(a,1,1))]. 8336 L(T(x,a(x,y,x)),a(x,y,x),R(z,x,a(x,y,x))) = (z * a(x,y,x)) \ ((z * x) * a(x,y,x)). [para(8334(a,1),555(a,1,1,1)),flip(a)]. 8337 x * (a(x,y,x) * z) = R(x,y,x) * z. [para(7980(a,2),8326(a,1,2))]. 8338 (x * (y * z)) \ (x * (y * R(z,u,z))) != w | L(a(z,u,z),y * z,x) = w. [para(8328(a,1),355(a,1,2,2))]. 8339 (a(x,y,x) \ 1) \ K(z * x,a(x,y,x)) = (((z * R(x,y,x)) / (z * x)) \ 1) \ 1. [para(8328(a,1),4736(a,1,1,1,1)),flip(a)]. 8340 a(x,y,x) * (x * z) = R(x,y,x) * z. [hyper(20,a,922,a(flip),b,8337,a)]. 8341 ((R(x,y,x) * z) * u) / ((x * z) * u) != w | R(a(x,y,x),x * z,u) = w. [para(8340(a,1),385(a,1,1,1))]. 8342 R(x,y,x) * (T(x,z) \ u) = x * (L(T(x,z),y,x) \ u). [hyper(189,a,8094,a(flip),b,8331,a(flip)),flip(a)]. 8343 K(x,y) * (x * (L(T(x,z),u,x) \ w)) = R(T(x,y),u,x) * (T(x,z) \ w). [para(8342(a,1),8070(a,1,2))]. 8344 R(T(x,y),z,x) * (T(x,u) \ w) = T(x,y) * (L(T(x,u),z,x) \ w). [hyper(4564,a,8343,a),flip(a)]. 8345 (((x * R(y,z,y)) / (x * y)) \ 1) \ 1 = a(y,z,y) * K(x * y,a(y,z,y)). [hyper(8001,a,8339,a),flip(a)]. 8346 a(x,y,x) * K(z * x,a(x,y,x)) = (R(a(x,y,x),x,z) \ 1) \ 1. [para(7951(a,1),8345(a,1,1,1)),flip(a)]. 8347 a(x,y,x) * K(z * x,a(x,y,x)) = R((a(x,y,x) \ 1) \ 1,x,z). [hyper(189,a,3105,a,b,8346,a)]. 8348 L(T(x,a(x,y,x)),a(x,y,x),R(z,x,a(x,y,x))) = (z * a(x,y,x)) \ (z * R(x,y,x)). [para(8328(a,1),8336(a,2,2))]. 8349 L(T(x,a(x,y,x)),a(x,y,x),R(z,x,a(x,y,x))) = x. [hyper(189,a,8327,a(flip),b,8348,a)]. 8352 L(x,a(x,y,x),R(z,x,a(x,y,x))) = x. [para(7737(a,1),8349(a,1,1))]. 8353 L(x,a(x,y,x),z) = x. [para(372(a,1),8352(a,1,3))]. 8354 (x * a(y,z,y)) * L(y,u,w) = x * (a(y,z,y) * L(y,u,w)). [para(8353(a,1),352(a,1,2,1))]. 8355 (x * L(y,z,u)) * a(T(y,y \ x),w,T(y,y \ x)) = ((y \ x) * L(y,z,u)) * R(T(y,y \ x),w,y). [para(6434(a,1),8330(a,1,2)),flip(a)]. 8357 (K(x,y) * K(z,x)) \ (K((K(x,y) * K(z,x)) \ u,K(x,y)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = ((K(y,x) * (K(x,z) * u)) \ u) \ 1. [para(8169(a,1),8190(a,2,1,1))]. 8358 (x * y) / (R(R((z \ (1 / u)) * z,u,x),u * x,y) * ((u * x) * y)) = K(z,(x * y) / (z * (R(R(1 / u,u,x),u * x,y) \ (x * y)))). [para(3270(a,2),8304(a,1,2,1,1))]. 8359 (K(x,y) * K(z,x)) \ (K((K(x,y) * K(z,x)) \ u,K(x,y)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = T(K(x,z) * K(y,x),u). [hyper(189,a,8253,a(flip),b,8357,a)]. 8360 (K(x,y) * K(z,x)) \ (K(K(y,x) * (K(x,z) * u),K(x,y)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = T(K(x,z) * K(y,x),u). [para(8169(a,1),8359(a,1,2,1,1))]. 8361 (K(x,y) * K(z,x)) \ (K(x,K(u,y)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = T(K(x,z) * K(y,x),u). [para(6262(a,1),8360(a,1,2,1))]. 8362 (K(x,y) * K(z,x)) \ (K(x,K(y,u)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = T(K(x,z) * K(y,x),u). [para(5983(a,1),8361(a,1,2,1))]. 8364 (K(x,y) * K(z,x)) \ (K(x,K(y,u)) * K(K(y,x) * (K(x,z) * u),K(x,z))) = T(K(x,z) * K(y,x),u). [para(8169(a,1),8362(a,1,2,2,1))]. 8365 (K(x,y) * K(z,x)) \ (K(x,K(y,u)) * K(x,K(u,z))) = T(K(x,z) * K(y,x),u). [para(6262(a,1),8364(a,1,2,2))]. 8367 (K(x,y) * K(z,x)) \ K(u,K(x,y) * K(z,x)) = T(K(x,z) * K(y,x),u). [para(8214(a,1),8365(a,1,2))]. 8368 K(x,y) * (K(y,z) * K(u,K(y,x) * K(z,y))) = T(K(y,z) * K(x,y),u). [hyper(189,a,8169,a(flip),b,8367,a(flip)),flip(a)]. 8369 T(x * K(y,z),K(z,u)) / (K(u,z) * x) = T(K(z,u) * K(y,z),x). [hyper(189,a,8215,a,b,8368,a(flip)),flip(a)]. 8370 T(K(x,y) * K(z,x),K(y,x) * u) = T(K(x,y) * K(z,x),u). [hyper(189,a,8213,a(flip),b,8369,a(flip)),flip(a)]. 8371 K(x,(y * z) / (x * (R(R(1 / u,u,y),u * y,z) \ (y * z)))) = (y * z) / ((R((x \ (1 / u)) * x,u,y) * (u * y)) * z). [para(110(a,1),8358(a,1,2)),flip(a)]. 8372 K(x,(y * z) / (x * (R(R(1 / u,u,y),u * y,z) \ (y * z)))) = (y * z) / (((((x \ (1 / u)) * x) * u) * y) * z). [para(110(a,1),8371(a,2,2,1))]. 8373 K(x,(y * z) / (x * (R(R(1 / u,u,y),u * y,z) \ (y * z)))) = (y * z) / ((K(u \ (x \ 1),x) * y) * z). [para(5554(a,1),8372(a,2,2,1,1))]. 8374 K(x,(y * z) / (x * (R(R(1 / u,u,y),u * y,z) \ (y * z)))) = R(K(x,u \ (x \ 1)),y,z). [hyper(189,a,5673,a(flip),b,8373,a)]. 8375 K(x,(y * z) / (x * (R(R(1 / u,u,y),u * y,z) \ (y * z)))) = K(x,R(u * x,y,z) \ 1). [hyper(189,a,5671,a(flip),b,8374,a)]. 8376 K(x,(y * z) / (x * ((u * y) * z))) = K(x,R(u * x,y,z) \ 1). [para(452(a,1),8375(a,1,2,2,2))]. 8377 K(x,R(y * x,z,u) \ 1) = K(x,R(y,z,u) \ (x \ 1)). [hyper(5701,a,8376,a),flip(a)]. 8378 K(x \ 1,R(y,z,u) \ ((x \ 1) \ 1)) = K(R(x,z,u) \ 1,y \ x). [hyper(7481,a,8377,a),flip(a)]. 8379 K(R(x,y,z) \ 1,u \ x) = K(x \ 1,R(u,y,z) \ x). [hyper(189,a,7439,a(flip),b,8378,a(flip))]. 8380 K(x \ 1,R(y / (z / u),z / u,u) \ x) = K(x \ 1,z / ((x \ y) * u)). [hyper(189,a,7491,a(flip),b,8379,a(flip))]. 8381 K(x \ 1,y / ((x \ z) * u)) = K(x \ 1,((z * u) / y) \ x). [para(391(a,1),8380(a,1,2,1)),flip(a)]. 8382 K(x \ 1,y / ((z / x) * u)) = K(x \ 1,((z * u) / y) \ x). [hyper(189,a,8102,a,b,8381,a(flip)),flip(a)]. 8383 K((x \ 1) \ 1,((y * z) / u) \ (x \ 1)) = K(x,u / ((y * x) * z)). [hyper(189,a,8100,a(flip),b,8382,a(flip))]. 8384 K(x,((y * z) / u) \ (x \ 1)) = K(x,u / ((y * x) * z)). [hyper(2659,a,8383,a)]. 8385 K(x,y / ((z * u) * x)) = K(x,y / ((z * x) * u)). [hyper(189,a,6761,a(flip),b,8384,a(flip)),flip(a)]. 8386 K(x,y / ((z * x) * u)) = K(x,y / (x * (z * u))). [hyper(189,a,6757,a(flip),b,8385,a(flip))]. 8387 K(x,((y * x) * z) / (x * (y * (y \ z)))) = L(K(x,y),z,y * x). [hyper(189,a,8124,a(flip),b,8386,a(flip))]. 8388 K(x,y / ((x * z) * u)) = K(x,y / (x * (z * u))). [hyper(189,a,7016,a(flip),b,8386,a(flip)),flip(a)]. 8389 (x \ 1) / (x \ K(x,y / (x * (z * u)))) = K(y / ((x * z) * u),x). [para(8388(a,1),3970(a,1,2,2))]. 8390 x * K(x,y / (x * (z * u))) = T(x,y / ((x * z) * u)). [para(8388(a,1),4396(a,2,2)),flip(a)]. 8391 L(K(x,y),z,y * x) = K(x,((y * x) * z) / (x * z)). [para(17(a,1),8387(a,1,2,2,2)),flip(a)]. 8392 L(K(x,y),z,y * x) = K(x,R(y,x,z)). [para(33(a,2),8391(a,2,2))]. 8394 R(K(x,y),z,T(y * x,z)) = K(x,R(y,x,z)). [hyper(8121,a,8392,a)]. 8395 L(T(K(x,y),z),u,y * x) = T(K(x,R(y,x,u)),z). [para(8392(a,1),43(a,2,1))]. 8396 K(x,R(y,x,T(z,y * x))) != u | K(((z / x) * (y * x)) \ (z * (y * x)),y) = u. [para(8392(a,1),7694(a,1))]. 8397 K(x,R(y,x,z)) * ((y * x) * z) = (K(x,y) * z) * T(y * x,z). [para(8394(a,1),383(a,1,1))]. 8398 L(T(K(x,y),z),u,y * x) = K(x,T(R(y,x,u),z)). [hyper(189,a,5334,a,b,8395,a)]. 8399 L(T(K(x,y),z),u,y * x) = K(x,R(T(y,z),x,u)). [para(45(a,2),8398(a,2,2))]. 8400 L(K(x,T(y,z)),u,y * x) = K(x,R(T(y,z),x,u)). [para(5334(a,2),8399(a,1,1))]. 8401 L(K(x \ y,T(x,z)),u,x * (x \ y)) = R(K(x \ y,T(x,z)),y,u). [hyper(189,a,5691,a(flip),b,8400,a)]. 8402 (K(x,y) * z) * T(y * x,z) = (y * (K(x,y) * x)) * z. [hyper(189,a,5038,a(flip),b,8397,a(flip))]. 8403 (K(x,y) * z) * T(y * x,z) = (x * y) * z. [para(4451(a,1),8402(a,2,1))]. 8404 (x * y) * (K(y,x) * z) = (y * x) * z. [hyper(189,a,7472,a(flip),b,8403,a(flip)),flip(a)]. 8406 L(x,K(y,z),z * y) = x. [hyper(643,a,8404,a)]. 8407 x * (K(y \ x,y) * z) = ((y \ x) * y) * z. [hyper(411,a,8404,a)]. 8409 K(x,y) * ((x * y) \ z) = (y * x) \ z. [hyper(75,a,17,a(flip),b,8404,a),flip(a)]. 8410 L(x,K(y \ z,y),z) = x. [para(17(a,1),8406(a,1,3))]. 8411 L(x,K(y,y \ z),z) = x. [para(3944(a,1),8410(a,1,2))]. 8412 (x * (y / x)) \ (y * z) = K(x \ y,x) * z. [hyper(189,a,4015,a(flip),b,8411,a(flip)),flip(a)]. 8413 ((x * y) \ z) \ K(y,x) = ((y * x) \ z) \ 1. [para(8409(a,1),7358(a,1,1)),flip(a)]. 8414 L(K(x \ y,x),z,y) * (y * z) = ((x \ y) * x) * z. [hyper(7755,a,8407,a)]. 8415 ((x \ y) * x) * (y \ z) = K(x \ y,x) * z. [hyper(20,a,7837,a,b,8407,a),flip(a)]. 8417 K(x \ y,x) * (y \ z) = (x * (y / x)) \ z. [para(17(a,1),8412(a,1,2)),flip(a)]. 8418 K(x,y) * ((((x * y) \ y) \ 1) \ z) = (((y * x) \ y) \ 1) \ z. [para(8413(a,1),5776(a,1,2,1))]. 8419 K(x \ y,x) * (y * z) = ((x \ y) * x) * z. [para(16(a,1),8415(a,1,2)),flip(a)]. 8420 ((x \ y) * x) * (y \ z) = y * ((x * (y / x)) \ z). [para(8417(a,1),8407(a,1,2)),flip(a)]. 8423 x * ((y * (x / y)) \ z) = K(y \ x,y) * z. [hyper(189,a,8415,a(flip),b,8420,a(flip))]. 8424 (x * (y / x)) \ (K(x,x \ y) * (y * z)) = z. [hyper(20,a,3887,a(flip),b,8423,a)]. 8425 L(x,y,K(z,z \ y)) = x. [hyper(4323,a,8424,a)]. 8426 L(x,y * z,K(z,y)) = x. [para(3891(a,1),8425(a,1,3))]. 8427 L(x,y,z * K(y,z)) = L(x,y,z). [hyper(189,a,4044,a(flip),b,8426,a(flip)),flip(a)]. 8428 L(x,T(y,z) * z,K(z,y)) = x. [para(3874(a,1),8426(a,1,3))]. 8429 L(x,y,T(z,y)) = L(x,y,z). [hyper(5742,a,8428,a),flip(a)]. 8430 L(x,y,z / y) = L(x,y,y \ z). [para(115(a,1),8429(a,1,3)),flip(a)]. 8431 L(x,T(y,z),z) = L(x,y,z). [hyper(4934,a,8427,a)]. 8432 L(x,y,z) = (y * z) \ (z * (T(y,z) * x)). [hyper(189,a,4932,a,b,8427,a(flip))]. 8433 L(x,y / z,z) = L(x,z \ y,z). [para(115(a,1),8431(a,1,2)),flip(a)]. 8438 L(x,1 / y,(1 / y) \ z) = L(x,y \ z,y). [hyper(189,a,5876,a(flip),b,8430,a(flip))]. 8439 (x * (T(y,x) * z)) / L(z,y,x) = y * x. [para(8432(a,2),67(a,1,2))]. 8440 L(x,y \ 1,(1 / y) \ z) = L(x,y \ z,y). [hyper(189,a,5788,a(flip),b,8438,a(flip)),flip(a)]. 8443 L(K(x \ y,x),z,y) = K(x \ y,x). [hyper(21,a,8419,a,b,8414,a)]. 8445 K(x,y) * ((y \ ((x \ 1) \ y)) \ z) = (((y * x) \ y) \ 1) \ z. [para(4271(a,1),8418(a,1,2,1))]. 8446 (((x \ 1) \ y) / y) \ z = (((y * x) \ y) \ 1) \ z. [hyper(189,a,4920,a(flip),b,8445,a(flip)),flip(a)]. 8447 (((x * y) \ x) \ 1) \ K(y,y \ 1) = 1 / (((y \ 1) \ x) / x). [hyper(189,a,5023,a(flip),b,8446,a(flip))]. 8448 1 / (((x \ 1) \ y) / y) = (y * x) \ y. [hyper(4913,a,8447,a),flip(a)]. 8449 1 / (((x \ y) / y) \ 1) = (y * x) \ y. [para(4263(a,1),8448(a,1,2))]. 8450 (x \ y) / y = (y * x) \ y. [hyper(246,a,8449,a),flip(a)]. 8452 (x * (x / y)) \ x = y / x. [para(69(a,1),8450(a,1,1)),flip(a)]. 8456 K(x / ((y * z) * u),y) = K(x / (y * (z * u)),y). [hyper(3971,a,8389,a),flip(a)]. 8457 K(x / (y * (z * x)),y) = K(z \ (y \ 1),y). [hyper(189,a,5553,a(flip),b,8456,a(flip))]. 8458 K(x / ((y * x) * z),z) = K(y \ (z \ 1),z). [hyper(7424,a,8457,a)]. 8459 K((x \ y) / (z * y),z) = K(x \ (z \ 1),z). [para(17(a,1),8457(a,1,1,2,2))]. 8460 K((x / y) \ (z \ 1),z) = K(y / (x * z),z). [para(19(a,1),8458(a,1,1,2,1)),flip(a)]. 8461 K(((x \ y) * x) / (z * (y / (y / x))),z) = K((x / y) \ (z \ 1),z). [para(4865(a,1),8459(a,1,1,1))]. 8462 R(K(x \ y,T(x,z)),y,u) = L(K(x \ y,T(x,z)),u,y). [para(17(a,1),8401(a,1,3)),flip(a)]. 8463 K(((x \ y) * x) / (z * (y / (y / x))),z) = K(y / (x * z),z). [hyper(189,a,8460,a(flip),b,8461,a)]. 8464 K(R(x \ (y / z),x,y / (y / z)),x) = K(y / (z * x),x). [hyper(189,a,3965,a,b,8463,a(flip)),flip(a)]. 8465 (K(x,y \ (x \ 1)) * L(K(y \ (x \ 1),x),z,u)) * ((y * (x * ((y \ 1) / x))) \ w) = w * L(w \ ((y * (x * ((y \ 1) / x))) \ w),z,u). [para(6782(a,1),6787(a,1,1,1))]. 8466 (K(x,y \ (x \ 1)) * K(L(y * x,z,u) \ 1,x)) * ((y * (x * ((y \ 1) / x))) \ w) = w * L(w \ ((y * (x * ((y \ 1) / x))) \ w),z,u). [para(5586(a,1),8465(a,1,1,2))]. 8467 (K(x,y \ (x \ 1)) * K(L(y,z,u) \ (x \ 1),x)) * ((y * (x * ((y \ 1) / x))) \ w) = w * L(w \ ((y * (x * ((y \ 1) / x))) \ w),z,u). [para(7806(a,1),8466(a,1,1,2))]. 8468 (K(x,y \ (x \ 1)) * K(L(y,z,u) \ (x \ 1),x)) * (K(x,y \ (x \ 1)) \ w) = w * L(w \ ((y * (x * ((y \ 1) / x))) \ w),z,u). [para(6782(a,1),8467(a,1,2,1))]. 8469 (K(x,y \ (x \ 1)) * K(L(y,z,u) \ (x \ 1),x)) * (K(y \ (x \ 1),x) * w) = w * L(w \ ((y * (x * ((y \ 1) / x))) \ w),z,u). [para(3889(a,1),8468(a,1,2))]. 8470 x * L(x \ ((y * (z * ((y \ 1) / z))) \ x),u,w) = K(L(y,u,w) \ (z \ 1),z) * x. [hyper(189,a,8160,a(flip),b,8469,a(flip))]. 8472 x * L(x \ (K(y,z \ (y \ 1)) \ x),u,w) = K(L(z,u,w) \ (y \ 1),y) * x. [para(6782(a,1),8470(a,1,2,1,2,1))]. 8473 x * L(K(y \ (z \ 1),T(z,x)),u,w) = K(L(y,u,w) \ (z \ 1),z) * x. [para(5339(a,1),8472(a,1,2,1))]. 8474 x * K(L(y * z,u,w) \ 1,T(y,x)) = K(L(z,u,w) \ (y \ 1),y) * x. [para(7035(a,1),8473(a,1,2))]. 8475 K(L(x * y,z,u) \ 1,x) * w = K(L(y,z,u) \ (x \ 1),x) * w. [hyper(5346,a,8474,a)]. 8476 K(x,y \ (x \ 1)) / (K(L(y,z,u) \ (x \ 1),x) * K(x,y \ (x \ 1))) = L(K(y \ (x \ 1),x) \ 1,z,u). [para(8475(a,1),8258(a,1,2))]. 8477 L(K(x \ (y \ 1),y) \ 1,z,u) = K(y,L(x,z,u) \ (y \ 1)). [hyper(3910,a,8476,a),flip(a)]. 8479 L(K(x,y \ (x \ 1)),z,u) = K(x,L(y,z,u) \ (x \ 1)). [para(3871(a,1),8477(a,1,1))]. 8480 K(x,L(x * y,z,u) \ 1) = K(x,L(y,z,u) \ (x \ 1)). [hyper(189,a,6776,a(flip),b,8479,a(flip)),flip(a)]. 8481 K(x \ 1,L(y,z,u) \ ((x \ 1) \ 1)) = K(L(x,z,u) \ 1,y \ x). [hyper(189,a,7483,a(flip),b,8480,a(flip))]. 8482 K(L(x,y,z) \ 1,u \ x) = K(x \ 1,L(u,y,z) \ x). [hyper(189,a,7439,a(flip),b,8481,a(flip))]. 8483 K(L(x,y,z) \ 1,u \ (x * w)) = K(x \ 1,L(w \ u,y,z) \ x). [hyper(189,a,8109,a(flip),b,8482,a(flip)),flip(a)]. 8484 K(x \ 1,L((y \ z) \ u,y \ z,y) \ x) = K(x \ 1,(y * (x \ u)) \ z). [hyper(189,a,7167,a(flip),b,8483,a(flip))]. 8485 K(x \ 1,(y \ (z * u)) \ x) = K(x \ 1,(z * (x \ u)) \ y). [para(359(a,1),8484(a,1,2,1))]. 8486 K(x \ 1,(y * (x \ z)) \ u) != w | K(x \ 1,(y * z) \ (x * u)) = w. [para(8485(a,1),8069(a,1))]. 8487 K(x,K(K(x \ y,x) * z,R(x \ y,y,u))) * R(K(x \ y,x) * K(z,K(x \ y,x)),y,u) = L((y * u) / ((x * (y / x)) * u),z,K(x \ y,x)). [para(7274(a,1),8046(a,1,1))]. 8488 K(x,K(y,R(x \ z,z,u))) * R(K(x \ z,x) * K(y,K(x \ z,x)),z,u) = L((z * u) / ((x * (z / x)) * u),y,K(x \ z,x)). [para(7145(a,1),8487(a,1,1,2))]. 8490 K(x,K(y,R(z,y,u))) * R(K(x \ y,x) * K(z,K(x \ y,x)),y,u) = L((y * u) / ((x * (y / x)) * u),z,K(x \ y,x)). [para(7273(a,1),8488(a,1,1))]. 8491 L((x * y) / ((z * (x / z)) * y),u,K(z \ x,z)) = K(z,K(x,u)) * R(K(z \ x,z) * K(u,K(z \ x,z)),x,y). [para(7270(a,1),8490(a,1,1)),flip(a)]. 8492 L((x * y) / ((z * (x / z)) * y),u,K(z \ x,z)) = K(z,K(x,u)) * R(K(z \ x,T(z,u)),x,y). [para(6021(a,1),8491(a,2,2,1))]. 8494 L(R(K(x \ y,x),y,z),u,K(x \ y,x)) = K(x,K(y,u)) * R(K(x \ y,T(x,u)),y,z). [para(5675(a,1),8492(a,1,1))]. 8495 K(x,K(y,z)) * R(K(x \ y,T(x,z)),y,u) = R(K(x \ y,x),y,u). [hyper(189,a,6507,a(flip),b,8494,a(flip))]. 8497 K(x,K(y,z)) * L(K(x \ y,T(x,z)),u,y) = R(K(x \ y,x),y,u). [para(8462(a,1),8495(a,1,2))]. 8498 R(K(x \ y,x),y,z) = L(K(x \ y,x),z,y). [hyper(8136,a,8497,a),flip(a)]. 8499 R(K(x \ y,x),y,z) = K(x \ y,x). [hyper(189,a,8443,a(flip),b,8498,a)]. 8501 K(R(x \ y,x,z),x) = K(x \ y,x). [hyper(189,a,7543,a(flip),b,8499,a(flip)),flip(a)]. 8502 K(x / (y * z),z) = K(z \ (x / y),z). [hyper(189,a,8464,a(flip),b,8501,a(flip)),flip(a)]. 8503 K(R(x,y,z),y) = K(y \ (y * x),y). [para(16(a,1),8501(a,1,1,1))]. 8504 K(R(x,y,z),y) = K(R(x,y,u),y). [hyper(189,a,8503,a,b,8503,a)]. 8505 K(R(x,y,z),y) = K(x,y). [hyper(189,a,1215,a(flip),b,8503,a)]. 8506 K(R(x,y,z),T(y,u)) = K(x,T(y,u)). [hyper(8095,a,8505,a)]. 8507 K(x,R(y,x,z)) = K(x,y). [hyper(6752,a,8505,a)]. 8510 K(((x / y) * (z * y)) \ (x * (z * y)),z) = K(y,z). [hyper(8396,a,8507,a)]. 8512 K(x,y / (z * x)) = K(x,x \ (y / z)). [hyper(189,a,7406,a(flip),b,8507,a(flip)),flip(a)]. 8521 T(x,R(y,x,z)) = x * K(R(x,y,u),y). [para(8504(a,1),6754(a,1,2)),flip(a)]. 8524 ((x * y) * z) \ ((y * x) * z) = K(y,T(x,z)). [hyper(189,a,7829,a,b,8506,a(flip)),flip(a)]. 8525 K((T(x,y) \ z) / u,x) = K(x \ (z / u),x). [hyper(189,a,7425,a,b,8502,a(flip)),flip(a)]. 8527 K(x,y / (x * z)) = K(x,x \ (y / z)). [hyper(189,a,6757,a(flip),b,8512,a(flip)),flip(a)]. 8528 T(x,R(y,x,z)) = T(x,y). [hyper(189,a,6471,a(flip),b,8521,a)]. 8532 T(R(x,y,z),(u * (y * z)) / ((x * y) * z)) = T(R(x,y,z),u / R(x,y,z)). [para(397(a,1),8528(a,1,2))]. 8534 x * K(x,x \ (y / (z * u))) = T(x,y / ((x * z) * u)). [para(8527(a,1),8390(a,1,2))]. 8536 K((T(x,y) \ z) / u,R(x,w,v5)) = R(x,w,v5) \ R(x * K(x \ (z / u),x),w,v5). [para(8525(a,1),4741(a,1,2,1,2)),flip(a)]. 8537 K(x,((y / z) * (z * x)) \ (y * (z * x))) = K(x,z). [hyper(189,a,7162,a(flip),b,8510,a(flip)),flip(a)]. 8538 K(((x \ 1) \ y) / y,((z / y) * ((x \ 1) \ T(y,x))) \ (z * (y * (((x \ 1) \ y) / y)))) = K(((x \ 1) \ y) / y,y). [para(3360(a,2),8537(a,1,2,1,2))]. 8539 T(x,y / ((x * z) * u)) = T(x,x \ (y / (z * u))). [hyper(4399,a,8534,a),flip(a)]. 8540 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = T(R(x,z,u),y / R(x,z,u)). [hyper(5484,a,8532,a)]. 8541 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = T(R(x,z,u),R(x,z,u) \ y). [hyper(189,a,3533,a(flip),b,8540,a)]. 8542 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = R(T(x,R(x,z,u) \ y),z,u). [hyper(189,a,45,a,b,8541,a)]. 8543 R(T(x,x \ ((y * (z * u)) / (z * u))),z,u) = R(T(x,R(x,z,u) \ y),z,u). [para(8539(a,1),8542(a,1,1))]. 8544 R(T(x,R(x,y,z) \ u),y,z) = R(T(x,x \ u),y,z). [para(18(a,1),8543(a,1,1,2,2)),flip(a)]. 8545 x / R(T(y,y \ x),z,u) = R(y,z,u) \ x. [para(8544(a,1),233(a,1,2))]. 8546 (R(x,y,z) * u) / (R(T(x,x \ w),y,z) * u) = K(R(x,y,z) \ w,R(x,y,z)). [para(8544(a,1),4613(a,1,2,1))]. 8548 x / R(y \ x,z,u) = R(x / y,z,u) \ x. [para(497(a,1),8545(a,1,2,1))]. 8550 (R(x / y,z,u) \ x) \ x = R(y \ x,z,u). [para(8548(a,1),69(a,1,1))]. 8551 R((x \ y) \ y,z,u) = (R(x,z,u) \ y) \ y. [para(67(a,1),8550(a,1,1,1,1)),flip(a)]. 8552 R(((x * K(y,x)) \ y) \ y,z,u) = (R(x,z,u) \ ((R(x,z,u) * y) / R(x,z,u))) \ y. [para(4742(a,1),8551(a,2,1))]. 8553 K(R(x,y,z) \ u,R(x,y,z)) = K(x \ u,R(x,y,z)). [hyper(189,a,4613,a(flip),b,8546,a(flip))]. 8554 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(8553(a,1),4336(a,1,1,2))]. 8555 K(x \ (R(x,y,z) / u),R(x,y,z)) != w | K(u \ 1,R(x,y,z)) = w. [para(8553(a,1),4517(a,1))]. 8556 K((T(x,y) \ z) / u,R(x,w,v5)) = K(x \ (z / u),R(x,w,v5)). [hyper(189,a,4741,a(flip),b,8536,a)]. 8557 K(x \ (T(y,z) \ R(y,u,w)),R(y,u,w)) = K(y \ (R(y,u,w) / x),R(y,u,w)). [hyper(189,a,7413,a(flip),b,8556,a(flip)),flip(a)]. 8559 K(x \ (T(y,z) \ R(y,u,w)),R(y,u,w)) = K(x \ 1,R(y,u,w)). [hyper(8555,a,8557,a(flip)),flip(a)]. 8560 K((T(x,y) \ z) \ 1,R(x,u,w)) = K(z \ R(x,u,w),R(x,u,w)). [hyper(7799,a,8559,a),flip(a)]. 8561 K(x \ R(y,z,u),R(y,z,u)) = K(x \ y,R(y,z,u)). [hyper(189,a,5569,a(flip),b,8560,a(flip))]. 8562 K(x \ R(y,z,u),T(R(y,z,u),w)) = K(T(x,w) \ y,R(y,z,u)). [hyper(189,a,8301,a(flip),b,8561,a(flip)),flip(a)]. 8563 K(x \ R(y,z,u),T(R(y,z,u),w)) = K(x \ y,R(T(y,w),z,u)). [hyper(189,a,8303,a(flip),b,8562,a)]. 8564 K(x \ R(y,z,u),R(T(y,w),z,u)) = K(x \ y,R(T(y,w),z,u)). [para(45(a,2),8563(a,1,2))]. 8565 K(x * R(y,z,u),R(T(y,w),z,u)) = K((x \ 1) \ y,R(T(y,w),z,u)). [hyper(189,a,7328,a(flip),b,8564,a(flip)),flip(a)]. 8566 K(x * R(y,z,u),R(T(y,w),z,u)) = K(x * y,R(T(y,w),z,u)). [hyper(189,a,7328,a(flip),b,8565,a)]. 8567 K(x * R(y,z,u),R(y,z,u)) = K(x * y,R(T(y,K(x,w)),z,u)). [hyper(189,a,6672,a(flip),b,8566,a(flip)),flip(a)]. 8568 K(x * R(y,z,u),R(y,z,u)) = K(x * y,R(y,z,u)). [para(1827(a,1),8567(a,2,2,1))]. 8569 T(R(x,y,z) * K(u * x,R(x,y,z)),u) = R(R(x,y,z),u,L(R(x,y,z),x \ 1,x)). [para(8568(a,1),5865(a,1,1,2))]. 8570 R(((x * K(y,x)) \ y) \ y,z,u) = (R(x,z,u) \ y) \ T(y,R(x,z,u)). [hyper(189,a,5017,a(flip),b,8552,a)]. 8571 (R(x,y,z) \ u) \ T(u,R(x,y,z)) = R((x \ u) \ T(u,x),y,z). [para(5015(a,1),8570(a,1,1)),flip(a)]. 8572 (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(8571(a,1),8323(a,1,2))]. 8573 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(4732(a,1),8554(a,1,1))]. 8574 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(5484,a,8573,a)]. 8575 L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = R(L(x,x \ u,x),y,z). [para(4336(a,1),8574(a,1,1)),flip(a)]. 8576 L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = L(R(x,y,z),x \ u,x). [hyper(189,a,47,a(flip),b,8575,a)]. 8577 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(8576(a,1),1710(a,1,1,1)),flip(a)]. 8578 T(R(x * K(y * x,x),z,u),y) = R(R(x,z,u),y,L(R(x,z,u),x \ 1,x)). [para(4732(a,1),8569(a,1,1))]. 8579 T(R(x * K(x * y,x),z,u),y) = R(R(x,z,u),y,L(R(x,z,u),x \ 1,x)). [para(4617(a,1),8578(a,1,1,1,2))]. 8580 R(T(x * K(x * y,x),y),z,u) = R(R(x,z,u),y,L(R(x,z,u),x \ 1,x)). [hyper(5484,a,8579,a)]. 8581 R(R(x,y,z),u,L(R(x,y,z),x \ 1,x)) = R(R(x,u,x),y,z). [para(4626(a,1),8580(a,1,1)),flip(a)]. 8582 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(3762(a,1),8572(a,1,2,1)),flip(a)]. 8583 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(189,a,1710,a(flip),b,8577,a)]. 8584 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(45(a,2),8583(a,2,3))]. 8585 K(((x \ 1) \ y) / y,((z / y) * ((x \ 1) \ T(y,x))) \ (z * ((x \ 1) \ y))) = K(((x \ 1) \ y) / y,y). [hyper(189,a,8059,a(flip),b,8538,a(flip)),flip(a)]. 8586 K((x \ 1) \ 1,((y / z) * ((x \ 1) \ T(z,x))) \ (y * ((x \ 1) \ z))) = K(((x \ 1) \ z) / z,z). [hyper(189,a,4767,a(flip),b,8585,a(flip)),flip(a)]. 8587 K((x \ 1) \ 1,((y / z) * T(z,x)) \ ((x \ 1) * (y * ((x \ 1) \ z)))) = K(((x \ 1) \ z) / z,z). [hyper(8486,a,8586,a)]. 8589 K((x \ 1) \ 1,(y * K(z,x)) \ ((x \ 1) * (y * ((x \ 1) \ z)))) = K(((x \ 1) \ z) / z,z). [para(5140(a,1),8587(a,1,2,1))]. 8590 K(((x \ 1) \ y) / y,y) = K(x,(z * K(y,x)) \ ((x \ 1) * (z * ((x \ 1) \ y)))). [hyper(2659,a,8589,a),flip(a)]. 8591 K(((x \ 1) \ y) / y,y) = K(x,(z * K(y,x)) \ (x \ (z * ((x \ 1) \ y)))). [hyper(189,a,8060,a(flip),b,8590,a)]. 8592 K(((x \ 1) \ y) / y,y) = K(x,z \ (x \ (z * ((x \ 1) \ y)))). [hyper(189,a,6422,a(flip),b,8591,a)]. 8594 K(((x \ 1) \ y) / y,y) = K(x,L(y,x,z)). [hyper(189,a,7490,a(flip),b,8592,a)]. 8595 K(x,L(y,x,z)) = K(x,y). [hyper(4771,a,8594,a),flip(a)]. 8597 K(x,L(y,x,z)) != u | K(x,y) = u. [para(8594(a,1),4771(a,1))]. 8598 T(x,L(y,x,z)) = x * K(x,y). [para(8595(a,1),4396(a,2,2))]. 8601 T(x,L(y,x,z)) = T(x,y). [hyper(189,a,4396,a,b,8598,a)]. 8604 T(x,y \ (x \ (y * z))) = T(x,x \ z). [hyper(189,a,6552,a(flip),b,8601,a(flip)),flip(a)]. 8605 L(x,y,z) * T(y,x) = y * L(x,y,z). [para(8601(a,1),113(a,1,2))]. 8607 T(L(x,y,z),(z * (y * x)) \ ((z * y) * u)) = T(L(x,y,z),L(x,y,z) \ u). [para(368(a,1),8601(a,1,2))]. 8608 L(K(x,y),z * x,u) != w | K(L(x,z,u),y) = w. [para(6770(a,1),8597(a,1))]. 8609 K(x,y \ (x \ z)) != u | K(x,x \ (y \ z)) = u. [para(7201(a,1),8597(a,1))]. 8612 ((x * T(y,x)) * L(x,y,z)) \ (x * (y * L(x,y,z))) = K(L(x,y,z),x * T(y,x)). [para(8605(a,1),965(a,1,2,2))]. 8615 T(L(x,y,z),(z * (y * x)) \ ((z * y) * u)) = L(T(x,L(x,y,z) \ u),y,z). [hyper(189,a,43,a,b,8607,a)]. 8616 L(T(x,(y * (z * x)) \ ((y * z) * u)),z,y) = L(T(x,L(x,z,y) \ u),z,y). [hyper(189,a,43,a,b,8615,a(flip)),flip(a)]. 8617 ((x * y) * L(y,x,z)) \ (y * (x * L(y,x,z))) = K(L(y,x,z),y * T(x,y)). [para(113(a,1),8612(a,1,1,1))]. 8618 K(L(x,y,z),x * T(y,x)) = K(x,y * L(x,y,z)). [hyper(1256,a,8617,a),flip(a)]. 8619 K(L(x,y,z),y * x) = K(x,y * L(x,y,z)). [para(113(a,1),8618(a,1,2))]. 8620 K(x,y * L(x,y,z)) = K(x,x * y). [hyper(5547,a,8619,a),flip(a)]. 8622 L(K(x,x * y),z * x,u) = K(L(x,z,u),y * L(x,y,w)). [para(8620(a,1),5541(a,1,1))]. 8623 K(L(x,y,z),u * L(x,u,w)) = K(L(x,y,z),x * u). [hyper(8608,a,8622,a),flip(a)]. 8624 L(K(L(x,y,z),x * y),y,z) = K(x,x * y). [para(8623(a,1),7092(a,1,1))]. 8625 L(K(x,x * y),y,z) = K(x,x * y). [para(6617(a,1),8624(a,1,1))]. 8627 (x * (y \ T(z * y,y))) \ (x * T(z,y)) = K(y,y * z). [hyper(189,a,7135,a,b,8625,a(flip)),flip(a)]. 8628 K(x,y \ (z * x)) = K(x,x * (y \ z)). [hyper(189,a,7683,a(flip),b,8625,a(flip)),flip(a)]. 8629 1 / L(K(x,x * y),y,z) = K(x * y,x). [para(8625(a,2),3875(a,1,2))]. 8631 K(x,(y \ z) \ x) = K(x,x * (z \ y)). [hyper(5927,a,8628,a)]. 8633 K(x,y \ (x * z)) = K(x,x * (y \ z)). [hyper(189,a,7617,a(flip),b,8628,a(flip)),flip(a)]. 8634 K(x,x * (y \ (x \ z))) = K(x,y \ z). [hyper(189,a,7616,a(flip),b,8628,a(flip))]. 8635 L(K(x,x * (y \ z)),u * x,w) = K(L(x,u,w),y \ (z * x)). [para(8628(a,1),5541(a,1,1))]. 8636 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(189,a,7696,a(flip),b,8633,a(flip)),flip(a)]. 8637 L(K(x,x * (y \ (z \ u))),z \ u,z) = K(x,(z * (x \ y)) \ u). [para(8633(a,1),6240(a,1,1))]. 8638 L(K(x * y,x),y,z) = K(x * y,x). [hyper(5894,a,8629,a)]. 8639 1 / ((x * (y \ T(y * z,y))) \ (x * z)) = K(y * z,y). [para(5923(a,2),8629(a,1,2))]. 8640 K(x * ((y * z) \ y),x) = K(z \ x,x). [hyper(189,a,7698,a(flip),b,8638,a(flip))]. 8642 K((x \ y) \ z,z) = K(z * (y \ x),z). [para(17(a,1),8640(a,1,1,2,1)),flip(a)]. 8643 K(x * L(y \ 1,y,z),x) = K(y \ x,x). [para(140(a,2),8640(a,1,1,2))]. 8644 K(x * ((y * (z * u)) \ (y * z)),x) = K(L(u,z,y) \ x,x). [para(102(a,1),8640(a,1,1,2,1))]. 8645 K((x / y) \ z,z) = K(z * (y / x),z). [para(8452(a,1),8640(a,1,1,2)),flip(a)]. 8646 K(x \ (y * z),z) = K(z * (x \ y),z). [hyper(189,a,5535,a(flip),b,8642,a(flip)),flip(a)]. 8647 K((x \ y) \ z,x) = K(x * (y \ z),x). [hyper(6988,a,8646,a)]. 8648 L(x * K(x * (y \ z),x),u,w) / L(x,u,w) = K(y \ (z * x),L(x,u,w)). [para(8646(a,1),4737(a,1,1,1,2))]. 8649 L(K(x * (y \ (z \ u)),x),z \ u,z) = K((z * (x \ y)) \ u,x). [para(8647(a,1),5528(a,1,1))]. 8651 L(K(x \ ((y \ 1) \ x),(x \ ((y \ 1) \ x)) * T(x,y)),T(x,y),z) = K(y,y * x). [hyper(189,a,8274,a,b,8627,a(flip)),flip(a)]. 8652 T(K(x * y,T(x,z)),z) = 1 / ((u * (x \ T(x * y,x))) \ (u * y)). [hyper(189,a,6023,a,b,8639,a),flip(a)]. 8653 K(L(x,y,z),u \ (w * x)) = K(L(x,y,z),x * (u \ w)). [hyper(8608,a,8635,a),flip(a)]. 8654 K(L(x,y,z),u \ (x * w)) = K(L(x,y,z),x * (u \ w)). [hyper(7058,a,8653,a)]. 8655 K(L(x,y,z),x * (u \ L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). [hyper(189,a,7703,a(flip),b,8654,a(flip))]. 8656 T(K(x,K(y,z)) * K(y * z,y),x) = 1 / ((u * (y \ T(y * z,y))) \ (u * z)). [para(5996(a,2),8652(a,1,1))]. 8657 K(x \ (y * z),L(z,u,w)) = K(z * (x \ y),L(z,u,w)). [hyper(4883,a,8648,a),flip(a)]. 8658 K((x \ y) \ z,L(z,u,w)) = K(z * (y \ x),L(z,u,w)). [hyper(189,a,5920,a,b,8657,a(flip)),flip(a)]. 8659 1 / ((x * (y \ T(y * z,y))) \ (x * z)) = K(u,K(y,z)) * K(y * z,T(y,u)). [hyper(6349,a,8656,a),flip(a)]. 8660 L(K(x * y,T(y,z)),x,z) = K(y * x,T(y,z)). [hyper(8287,a,8659,a)]. 8661 K((x / (x * y)) \ z,z) = K(z * y,T(z,x)). [hyper(189,a,7733,a(flip),b,8660,a(flip)),flip(a)]. 8663 K(x * ((y * z) / y),x) = K(x * z,T(x,y)). [hyper(189,a,8645,a(flip),b,8661,a(flip)),flip(a)]. 8664 K(x * (y \ z),T(x,y)) = K(x * (z / y),x). [para(17(a,1),8663(a,1,1,2,1)),flip(a)]. 8665 K(x * (y \ z),T(x,z)) = K(x * (z / y),x). [hyper(189,a,7585,a,b,8664,a(flip)),flip(a)]. 8666 K(x * (y / z),x) * K(x,T(z \ y,y)) = a(x,z \ y,x). [para(8665(a,1),8029(a,1,1))]. 8667 K(x * (y / z),x) * K(x,y / z) = a(x,z \ y,x). [para(6060(a,1),8666(a,1,2))]. 8668 a(x,y / z,x) = a(x,z \ y,x). [hyper(7954,a,8667,a)]. 8670 L(K(x \ ((y \ 1) \ x),(x \ ((y \ 1) \ x)) * T(x,y)),T(x,y),z) = K(y,x * y). [hyper(189,a,4576,a,b,8651,a)]. 8671 L(K(x \ ((y \ 1) \ x),(y \ 1) \ x),T(x,y),z) = K(y,x * y). [para(3755(a,1),8670(a,1,1,2))]. 8672 L(K((x \ 1) \ 1,(x \ 1) \ y),T(y,x),z) = K(x,y * x). [para(4262(a,1),8671(a,1,1))]. 8673 L(K(x,(x \ 1) \ y),T(y,x),z) = K(x,y * x). [para(2648(a,1),8672(a,1,1))]. 8674 L(K(x,x * y),T(y,x),z) = K(x,y * x). [para(6142(a,1),8673(a,1,1))]. 8675 L(K(x,y * x),T(y,x),z) = K(x,y * x). [para(4576(a,2),8674(a,1,1))]. 8676 L(K(x,y * x),y,z) = K(x,y * x). [hyper(189,a,6612,a(flip),b,8675,a(flip)),flip(a)]. 8677 L(K(x * y,y),x,z) = 1 / K(y,x * y). [para(8676(a,1),5892(a,1,2)),flip(a)]. 8678 L(K(x * y,y),x,z) = K(x * y,y). [hyper(189,a,3875,a(flip),b,8677,a)]. 8679 L(K(x * L(y,z,u),x),L(y,z,u),u * z) = L(K(y * x,x),z * y,u). [para(8678(a,1),5856(a,1,1)),flip(a)]. 8680 L(K(x * y,y),z * x,u) = K(y * L(x,z,u),y). [hyper(189,a,8638,a(flip),b,8679,a(flip))]. 8683 L(K((x \ (y \ z)) * u,u),x * (x \ (y \ z)),y) = K(u * ((y * x) \ z),u). [para(183(a,1),8680(a,2,1,2))]. 8684 L(K(L(x \ 1,x,y) * z,z),(y * x) * L(x \ 1,x,y),u) = K(z * ((u * (y * x)) \ (u * y)),z). [para(309(a,1),8680(a,2,1,2))]. 8685 L(K(x * (y \ (z \ u)),x),y * (y \ (z \ u)),z) = K(x * ((z * y) \ u),x). [para(4617(a,1),8683(a,1,1))]. 8686 L(K(x * (y \ (z \ u)),x),z \ u,z) = K(x * ((z * y) \ u),x). [para(17(a,1),8685(a,1,2))]. 8687 K((x * (y \ z)) \ u,y) = K(y * ((x * z) \ u),y). [hyper(189,a,8649,a(flip),b,8686,a(flip)),flip(a)]. 8689 K(x * ((y * (x * z)) \ u),x) = K((y * z) \ u,x). [para(16(a,1),8687(a,1,1,1,2)),flip(a)]. 8690 L(x * K(x * ((y * z) \ u),x),w,v5) \ L(x,w,v5) = K(L(x,w,v5),(y * (x \ z)) \ u). [para(8687(a,1),4738(a,1,1,1,2))]. 8691 K(L(x,y,z),(u * (x \ w)) \ v5) = K(L(x,y,z),x * ((u * w) \ v5)). [hyper(4884,a,8690,a),flip(a)]. 8693 L(K(x * L(y \ 1,y,z),x),(z * y) * L(y \ 1,y,z),u) = K(x * ((u * (z * y)) \ (u * z)),x). [para(4617(a,1),8684(a,1,1))]. 8694 L(K(x \ y,y),(z * x) * L(x \ 1,x,z),u) = K(y * ((u * (z * x)) \ (u * z)),y). [para(8643(a,1),8693(a,1,1))]. 8695 K(x * ((y * (z * u)) \ (y * z)),x) = L(K(u \ x,x),z,y). [para(278(a,1),8694(a,1,2)),flip(a)]. 8697 L(K(x \ y,y),z,u) = K(L(x,z,u) \ y,y). [hyper(189,a,8644,a(flip),b,8695,a(flip))]. 8698 K(L(x,y,z) \ u,u) \ 1 = L(K(u,x \ u),y,z). [para(8697(a,1),5890(a,1,1))]. 8699 L(K(x,y \ x),z,u) = K(x,L(y,z,u) \ x). [hyper(3872,a,8698,a),flip(a)]. 8700 L(K(x,x * (y \ z)),u,w) = K(x,L(z \ y,u,w) \ x). [para(8631(a,1),8699(a,1,1))]. 8701 K(x,L((y \ z) \ u,y \ z,y) \ x) = K(x,(y * (x \ u)) \ z). [hyper(189,a,8637,a(flip),b,8700,a(flip))]. 8702 K(x,(y \ (z * u)) \ x) = K(x,(z * (x \ u)) \ y). [para(359(a,1),8701(a,1,2,1))]. 8703 K(x,(y * (x \ z)) \ u) = K(x,x * ((y * z) \ u)). [hyper(189,a,8631,a(flip),b,8702,a(flip))]. 8705 K(x,(y * (z / x)) \ u) = K(x,x * ((y * z) \ u)). [hyper(6431,a,8703,a)]. 8706 K(x,(y * (x \ z)) \ (x \ u)) = K(x,(y * z) \ u). [hyper(189,a,8634,a(flip),b,8703,a)]. 8707 K(x,x * ((y * (x * z)) \ u)) = K(x,(y * z) \ u). [para(16(a,1),8703(a,1,2,1,2)),flip(a)]. 8708 K(x,x \ ((y * (x \ z)) \ u)) = K(x,(y * z) \ u). [hyper(8609,a,8706,a)]. 8709 K(x,(y * (x * z)) \ u) = K(x,(y * z) \ (x \ u)). [para(16(a,1),8706(a,1,2,1,2)),flip(a)]. 8710 ((x * (y * z)) \ u) \ T(y * ((x * (y * z)) \ u),K(w,y)) = T(y,(x * (y * z)) \ u) * K(w,K(y,(x * z) \ u)). [para(8707(a,1),7390(a,1,2,2)),flip(a)]. 8711 K(x,(y * z) \ u) * T(x * K(((y * (x * z)) \ u) * x,x),(y * (x * z)) \ u) = T(x,T((y * (x * z)) \ u,x)). [para(8707(a,1),7408(a,1,1))]. 8712 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(5073(a,1),8708(a,1,2,2,1,2))]. 8713 K(L(x,y,z),x \ ((u * (x \ w)) \ v5)) = L(K(x,(u * w) \ v5),y * x,z). [para(8708(a,1),5541(a,1,1)),flip(a)]. 8714 K(L(x,y,z),x \ ((u * (x \ w)) \ v5)) != v6 | K(L(x,y,z),(u * w) \ v5) = v6. [para(8713(a,2),8608(a,1))]. 8715 ((x * (y * z)) \ u) \ T(y * ((x * (y * z)) \ u),K(w,y)) = K(y,(x * (y * z)) \ u) * T(y,K(w,(x * z) \ u)). [hyper(189,a,5975,a,b,8710,a)]. 8716 K(x,(y * z) \ u) * T(x * K(x * ((y * (x * z)) \ u),x),(y * (x * z)) \ u) = T(x,T((y * (x * z)) \ u,x)). [para(4617(a,1),8711(a,1,2,1,2))]. 8717 ((x * (y * z)) \ u) \ T(y * ((x * (y * z)) \ u),K(w,y)) = K(y,(x * z) \ (y \ u)) * T(y,K(w,(x * z) \ u)). [para(8709(a,1),8715(a,2,1))]. 8718 K(x,(y * z) \ u) * T(x * K((y * z) \ u,x),(y * (x * z)) \ u) = T(x,T((y * (x * z)) \ u,x)). [para(8689(a,1),8716(a,1,2,1,2))]. 8719 T(x,T((y * (x * z)) \ u,(y * z) \ u)) = T(x,T((y * (x * z)) \ u,x)). [hyper(6378,a,8718,a)]. 8720 T(x,T((y * (x * z)) \ u,(y * z) \ u)) != w | T(x,(y * (x * z)) \ u) = w. [para(8719(a,2),3594(a,1))]. 8721 ((x * (y * z)) \ u) \ T(y * ((x * (y * z)) \ u),K(w,y)) = T(y,T((x * z) \ (y \ u),w)). [hyper(189,a,7661,a(flip),b,8717,a)]. 8722 ((x * (y * z)) \ u) \ T(y * ((x * (y * z)) \ u),K(y,w)) = T(y,T((x * z) \ (y \ u),w)). [para(6118(a,1),8721(a,1,2))]. 8723 T(x,T((y * (x * z)) \ u,w)) = T(x,T((y * z) \ (x \ u),w)). [hyper(7221,a,8722,a)]. 8724 T(x,T((y * z) \ (x \ u),(y * z) \ u)) = T(x,(y * (x * z)) \ u). [hyper(8720,a,8723,a),flip(a)]. 8725 T(x,(y * (x * z)) \ u) = T(x,(y * z) \ (x \ u)). [hyper(189,a,7605,a(flip),b,8724,a(flip))]. 8726 T(x,(y * (z * x)) \ u) = T(x,(y * z) \ (x \ u)). [hyper(189,a,6842,a,b,8725,a(flip)),flip(a)]. 8727 L(T(x,(y * z) \ (x \ ((y * z) * u))),z,y) = L(T(x,L(x,z,y) \ u),z,y). [para(8726(a,1),8616(a,1,1))]. 8728 L(T(x,L(x,y,z) \ u),y,z) = L(T(x,x \ u),y,z). [para(8604(a,1),8727(a,1,1)),flip(a)]. 8729 (L(x,y,z) \ u) / (L(T(x,x \ w),y,z) \ u) = K(L(x,y,z),L(x,y,z) \ w). [para(8728(a,1),4610(a,1,2,1))]. 8731 K(L(x,y,z),L(x,y,z) \ u) = K(L(x,y,z),x \ u). [hyper(189,a,4610,a(flip),b,8729,a(flip))]. 8732 K(L(x,y,z),x \ ((u * (x \ (1 / L(x,y,z)))) \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). [hyper(189,a,8712,a(flip),b,8731,a(flip))]. 8733 K(L(x,y,z),(u * (1 / L(x,y,z))) \ w) = K(L(x,y,z),(u * (1 / x)) \ w). [hyper(8714,a,8732,a)]. 8734 K(L(x,y,z),L(x,y,z) * ((u * 1) \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). [hyper(189,a,8705,a(flip),b,8733,a(flip)),flip(a)]. 8735 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). [para(15(a,1),8734(a,1,2,2,1))]. 8736 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),(u * (x \ 1)) \ w). [hyper(189,a,7448,a(flip),b,8735,a)]. 8737 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),x * ((u * 1) \ w)). [hyper(189,a,8691,a(flip),b,8736,a)]. 8738 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),x * (u \ w)). [para(15(a,1),8737(a,2,2,2,1))]. 8739 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(189,a,8636,a,b,8738,a(flip)),flip(a)]. 8740 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(189,a,8655,a(flip),b,8739,a)]. 8742 K(L(x,y,z),u \ L(x,y,z)) = K(L(x,y,z),u \ x). [para(2794(a,1),8740(a,1,2))]. 8743 K(x \ L(y,z,u),L(y,z,u)) = (w * K(L(y,z,u),x \ y)) \ w. [para(8742(a,1),3918(a,1,1,2)),flip(a)]. 8744 K(x \ L(y,z,u),L(y,z,u)) = K(x \ y,L(y,z,u)). [hyper(189,a,3918,a(flip),b,8743,a)]. 8745 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(8744(a,1),5445(a,1,1,2))]. 8746 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(8658(a,1),8745(a,1,1,2))]. 8747 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(58(a,1),8746(a,1,1,2,1,2))]. 8748 T(L(x * K(x * y,x),z,u),y) = y \ T(L(x,z,u) * y,L(x,z,u)). [para(4729(a,1),8747(a,1,1))]. 8749 L(T(x * K(x * y,x),y),z,u) = y \ T(L(x,z,u) * y,L(x,z,u)). [hyper(189,a,43,a,b,8748,a(flip)),flip(a)]. 8750 x \ T(L(y,z,u) * x,L(y,z,u)) = L(R(y,x,y),z,u). [para(4626(a,1),8749(a,1,1)),flip(a)]. 8751 R(L(x,y,z),u,L(x,y,z)) = L(R(x,u,x),y,z). [hyper(3672,a,8750,a)]. 8752 (x * y) * L(R(z,u,z),y,x) = x * (y * R(z,u,L(z,y,x))). [para(8751(a,1),351(a,1,2))]. 8753 x * R(y,z,L(y,x,u)) = x * R(y,z,y). [hyper(340,a,8752,a),flip(a)]. 8754 R(x,y,L(x,z,u)) = R(x,y,x). [hyper(260,a,8753,a),flip(a)]. 8758 R(R(x,y,z),u,R(x,y,z)) = R(R(x,u,x),y,z). [hyper(189,a,8581,a(flip),b,8754,a(flip))]. 8760 (x / y) * R(y,z,y) = x * a(y,z,L(y,u,w)). [para(8754(a,1),8025(a,1,2))]. 8762 (R(x,y,R(x,z,u)) * z) * u = R(R(x,y,x),z,u) * (z * u). [para(8758(a,1),382(a,1,1)),flip(a)]. 8763 a(x,y,L(x,z,u)) = a(x,y,x). [hyper(8329,a,8760,a),flip(a)]. 8765 (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(8758(a,1),8760(a,1,2))]. 8766 (R(x,y,R(x,z,u)) * z) * u = (R(x,y,x) * z) * u. [hyper(189,a,110,a(flip),b,8762,a)]. 8767 (R(T(x,y),z,T(x,y)) * u) * w = (R(T(x,y),z,R(x,u,w)) * u) * w. [para(7411(a,1),8766(a,1,1,1)),flip(a)]. 8768 (x * (K(y,z) * K(u,y))) / T((K(z,y) * (K(y,u) * x)) * (K(y,z) * K(u,y)),K(y,u) * K(z,y)) = T(K(y,z) * K(u,y),(K(y,z) * K(u,y)) \ x). [para(8169(a,1),8178(a,1,2,1,1))]. 8769 (x * (K(y,z) * K(u,y))) / T(T((K(y,u) * x) * K(u,y),K(y,z)),K(y,u) * K(z,y)) = T(K(y,z) * K(u,y),(K(y,z) * K(u,y)) \ x). [para(7761(a,1),8768(a,1,2,1))]. 8770 (x * (K(y,z) * K(u,y))) / T(T(T(x,K(y,u)),K(y,z)),K(y,u) * K(z,y)) = T(K(y,z) * K(u,y),(K(y,z) * K(u,y)) \ x). [para(6115(a,1),8769(a,1,2,1,1))]. 8771 (x * (K(y,z) * K(u,y))) / T(T(x,K(y,z) * K(u,y)),K(y,u) * K(z,y)) = T(K(y,z) * K(u,y),(K(y,z) * K(u,y)) \ x). [para(8164(a,1),8770(a,1,2,1))]. 8772 T(K(x,y) * K(z,x),(K(x,y) * K(z,x)) \ u) = (u * (K(x,y) * K(z,x))) / u. [para(8205(a,1),8771(a,1,2)),flip(a)]. 8773 T(K(x,y) * K(z,x),(K(x,y) * K(z,x)) \ u) = T(K(x,y) * K(z,x),u). [hyper(189,a,8212,a(flip),b,8772,a)]. 8774 T(K(x,y) * K(z,x),K(y,x) * (K(x,z) * u)) = T(K(x,y) * K(z,x),u). [para(8169(a,1),8773(a,1,2))]. 8775 T(K(x,y) * K(z,x),K(x,z) * u) = T(K(x,y) * K(z,x),u). [hyper(189,a,8370,a(flip),b,8774,a(flip)),flip(a)]. 8776 (K(x,y) * z) \ (K(x,u) * z) = T(K(x,u) * K(y,x),z). [hyper(189,a,8181,a(flip),b,8775,a(flip)),flip(a)]. 8777 K(x,T(y,z)) * K(u,T(x,z)) = T(K(x,y) * K(u,x),z). [hyper(189,a,6736,a(flip),b,8776,a(flip)),flip(a)]. 8778 K(x,T(y,z)) * (K(u,T(x,z)) * w) = T(K(x,y) * K(u,x),z) * w. [para(8777(a,1),8168(a,1,1)),flip(a)]. 8779 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(189,a,7741,a(flip),b,8778,a(flip))]. 8780 R(T(x,y),z,R(x,u,w)) * (T(x,y) \ v5) = a(x,z,R(x,u,w)) * v5. [para(8184(a,1),8779(a,1,1)),flip(a)]. 8782 R(T(x,y) * K(y * L(x,z,u),T(x,y)),w,v5) * (((x * y) * L(x,z,u)) / T(x,y)) = (((x * y) * L(x,z,u)) / T(x,y)) * R(T(x,y),w,v5). [para(3876(a,1),4948(a,1,1,1,2))]. 8783 R(R(x,y,L(x,z,u)),w,v5) * (((x * y) * L(x,z,u)) / T(x,y)) = (((x * y) * L(x,z,u)) / T(x,y)) * R(T(x,y),w,v5). [para(5048(a,1),8782(a,1,1,1))]. 8784 R(R(x,y,L(x,z,u)),w,v5) * (y * L(x,z,u)) = (((x * y) * L(x,z,u)) / T(x,y)) * R(T(x,y),w,v5). [para(1271(a,1),8783(a,1,2))]. 8785 (((x * y) * L(x,z,u)) / T(x,y)) * R(T(x,y),w,v5) = (R(x,w,v5) * y) * L(x,z,u). [hyper(639,a,8784,a),flip(a)]. 8786 (x * L(y,z,u)) * R(T(y,x),w,v5) = (R(y,w,v5) * x) * L(y,z,u). [para(1271(a,1),8785(a,1,1))]. 8787 (x * L(y,z,u)) * a(T(y,y \ x),w,T(y,y \ x)) = (R(y,w,y) * (y \ x)) * L(y,z,u). [hyper(189,a,8355,a,b,8786,a(flip)),flip(a)]. 8788 (x * L(y,z,u)) * a(T(y,y \ x),w,T(y,y \ x)) = (x * a(y,w,y)) * L(y,z,u). [para(8322(a,1),8787(a,2,1))]. 8789 (x * L(y,z,u)) * a(T(y,y \ x),w,T(y,y \ x)) = x * (a(y,w,y) * L(y,z,u)). [hyper(189,a,8354,a(flip),b,8788,a)]. 8790 (x * L(y,z,u)) * a(y,w,y) = x * (a(y,w,y) * L(y,z,u)). [para(8003(a,1),8789(a,1,2))]. 8791 (x * (a(y,z,y) * L(y,u,w))) \ ((x * (a(y,z,y) * L(y,u,w))) * a(y,z,y)) = L(a(y,z,y),L(y,u,w),x). [para(8790(a,1),7739(a,1,1))]. 8793 L(a(x,y,x),L(x,z,u),w) != v5 | a(x,y,x) = v5. [para(8791(a,1),237(a,1)),flip(b)]. 8794 ((((x \ L(x,y,z)) * u) / (((L(x,y,z) \ x) * (x \ L(x,y,z))) * u)) \ 1) \ 1 = K(x \ L(x,y,z),L(x,y,z) \ x) * (((x \ L(x,y,z)) * u) / (1 * u)). [para(2619(a,1),8231(a,2,1))]. 8795 ((((x \ L(x,y,z)) * u) / (((L(x,y,z) \ x) * (x \ L(x,y,z))) * u)) \ 1) \ 1 = K(x \ L(x,y,z),a(z,y,x)) * (((x \ L(x,y,z)) * u) / (1 * u)). [para(5621(a,1),8794(a,2,1))]. 8796 ((((x \ L(x,y,z)) * u) / (((L(x,y,z) \ x) * (x \ L(x,y,z))) * u)) \ 1) \ 1 = K(x \ L(x,y,z),a(z,y,x)) * (((x \ L(x,y,z)) * u) / u). [para(14(a,1),8795(a,2,2,2))]. 8797 ((((x \ L(x,y,z)) * u) / (((L(x,y,z) \ x) * (x \ L(x,y,z))) * u)) \ 1) \ 1 = K(x \ L(x,y,z),a(z,y,x)) * (x \ L(x,y,z)). [para(18(a,1),8796(a,2,2))]. 8798 ((((x \ L(x,y,z)) * u) / (((L(x,y,z) \ x) * (x \ L(x,y,z))) * u)) \ 1) \ 1 = T(x \ L(x,y,z),a(z,y,x)). [hyper(189,a,4403,a,b,8797,a)]. 8800 T(x \ L(x,y,z),a(z,y,x)) = ((((x \ L(x,y,z)) * u) / (1 * u)) \ 1) \ 1. [para(8229(a,1),8798(a,1,1,1,2,1)),flip(a)]. 8801 T(x \ L(x,y,z),a(z,y,x)) = ((((x \ L(x,y,z)) * u) / u) \ 1) \ 1. [para(14(a,1),8800(a,2,1,1,2))]. 8803 T(x \ L(x,y,z),a(z,y,x)) = ((x \ L(x,y,z)) \ 1) \ 1. [para(18(a,1),8801(a,2,1,1))]. 8804 (L(x,y,z) \ x) * (((x \ L(x,y,z)) \ 1) \ 1) = K(x \ L(x,y,z),a(z,y,x)). [para(8803(a,1),8230(a,1,2))]. 8805 (x \ L(x,y,z)) * (L(x,y,z) \ x) = K(x \ L(x,y,z),a(z,y,x)). [hyper(1997,a,8804,a)]. 8806 K(x \ L(x,y,z),a(z,y,x)) = 1. [hyper(7869,a,8805,a),flip(a)]. 8807 x * K(y \ L(y,z,u),a(u,z,y)) = x. [para(8806(a,2),15(a,1,2))]. 8808 K(a(x,y,z),z \ L(z,y,x)) = 1. [hyper(3879,a,8807,a)]. 8809 1 / a(x,y,z) = a(x,y,z) \ 1. [para(8808(a,1),5018(a,1,2)),flip(a)]. 8810 (a(x,y,z) \ 1) \ 1 = a(x,y,z). [para(8809(a,1),69(a,1,1))]. 8811 (a(x,y,z) \ 1) \ 1 != u | a(x,y,z) = u. [para(8809(a,1),236(a,1,1)),flip(b)]. 8813 (a(x,y,R(x,z,u)) \ 1) \ 1 = a(R(x,z,u),y,x). [para(7911(a,1),8810(a,1,1))]. 8814 a(x,y,x) * K(z * x,a(x,y,x)) = R(a(x,y,x),x,z). [para(8810(a,1),8347(a,2,1))]. 8815 a(R(x,y,z),u,x) = a(x,u,R(x,y,z)). [hyper(8811,a,8813,a),flip(a)]. 8816 a(R(x,y,z),u,x) != w | a(x,u,R(x,y,z)) = w. [para(8813(a,1),8811(a,1))]. 8817 (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(189,a,6829,a,b,8815,a),flip(a)]. 8818 R(a(x,y,x),x,z) = a(x,y,x). [hyper(7992,a,8814,a),flip(a)]. 8819 ((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(189,a,379,a,b,8818,a(flip)),flip(a)]. 8820 (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(7950(a,1),8819(a,1,1,1))]. 8821 ((R(x,y,R(x,z,u)) * z) * u) / ((x * z) * u) = a(R(x,z,u),y,R(x,z,u)). [para(382(a,1),8820(a,1,1))]. 8822 ((R(x,y,x) * z) * u) / ((x * z) * u) = a(R(x,z,u),y,R(x,z,u)). [para(8766(a,1),8821(a,1,1))]. 8823 a(R(x,y,z),u,R(x,y,z)) != w | R(a(x,u,x),x * y,z) = w. [para(8822(a,1),8341(a,1))]. 8824 (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(5611(a,1),8817(a,1,1,2))]. 8825 (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(501(a,1),8824(a,1,1))]. 8826 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(160(a,1),8825(a,1,2)),flip(a)]. 8827 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(189,a,1710,a(flip),b,8826,a)]. 8828 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(45(a,2),8827(a,2,3))]. 8829 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(8816,a,8828,a)]. 8830 a(x,T(x,y) \ y,R(x,z,u)) = a(x,x \ y,R(T(x,y),z,u)). [hyper(189,a,7898,a(flip),b,8829,a(flip)),flip(a)]. 8832 a(x,x \ y,R(T(x,y),z,u)) = a(x,x \ y,R(x,z,u)). [hyper(189,a,7922,a(flip),b,8830,a(flip))]. 8834 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(189,a,8584,a,b,8832,a(flip)),flip(a)]. 8835 a(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = a(x,x \ u,R(x,y,z)). [hyper(7961,a,8834,a)]. 8836 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,y \ (w * y),R(y,z,u)). [para(8835(a,1),8582(a,1,2)),flip(a)]. 8837 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,T(w,y),R(y,z,u)). [para(35(a,2),8836(a,2,2,2))]. 8838 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,w,R(y,z,u)). [para(7921(a,1),8837(a,2,2))]. 8839 x * a(R(y,z,u),w,L(R(y,z,u),v5,v6)) = x * a(y,w,R(y,z,u)). [hyper(189,a,8765,a(flip),b,8838,a(flip)),flip(a)]. 8840 x * a(R(y,z,u),w,R(y,z,u)) = x * a(y,w,R(y,z,u)). [para(262(a,1),8839(a,1,2,3))]. 8841 a(R(x,y,z),u,R(x,y,z)) = a(x,u,R(x,y,z)). [hyper(7985,a,8840,a)]. 8842 R(a(x,y,x),x * z,u) = a(x,y,R(x,z,u)). [hyper(8823,a,8841,a)]. 8843 a(x,y,R(x,x \ z,u)) = R(a(x,y,x),z,u). [para(17(a,1),8842(a,1,2)),flip(a)]. 8844 R(x,y,R(x,x \ z,u)) = x * R(a(x,y,x),z,u). [para(8843(a,1),7885(a,1,2)),flip(a)]. 8845 R(T(x,y),z,R(x,x \ u,w)) = T(x,y) * R(a(x,z,x),u,w). [para(8843(a,1),7895(a,1,2)),flip(a)]. 8846 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(189,a,7411,a(flip),b,8844,a(flip))]. 8847 R(T(x,y),z,R(x,T(x,y) \ u,w)) = T(x,y) * R(a(x,z,x),u,w). [para(8003(a,1),8846(a,1,2,1)),flip(a)]. 8848 R(T(x,y),z,R(x,T(x,y) \ u,w)) = R(T(x,y),z,R(x,x \ u,w)). [hyper(189,a,8845,a,b,8847,a)]. 8850 (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(8848(a,1),8767(a,2,1,1))]. 8851 (R(T(x,y),z,T(x,y)) * (T(x,y) \ u)) * w = (a(x,z,R(x,x \ u,w)) * u) * w. [para(8780(a,1),8850(a,2,1))]. 8853 (R(T(x,y),z,T(x,y)) * (T(x,y) \ u)) * w = (R(a(x,z,x),u,w) * u) * w. [para(8843(a,1),8851(a,2,1,1))]. 8854 (R(T(x,y),z,x) * (T(x,y) \ u)) * w = (R(a(x,z,x),u,w) * u) * w. [para(6434(a,1),8853(a,1,1,1))]. 8856 (T(x,y) * (L(T(x,y),z,x) \ u)) * w = (R(a(x,z,x),u,w) * u) * w. [para(8344(a,1),8854(a,1,1))]. 8857 (R(a(x,y,x),z,u) * z) * u = (z * a(x,y,x)) * u. [para(7966(a,1),8856(a,1,1)),flip(a)]. 8858 ((a(x,y,x) * z) * u) \ ((z * a(x,y,x)) * u) = a(R(a(x,y,x),z,u),z,u). [para(8857(a,1),377(a,1,2))]. 8859 a(R(a(x,y,x),z,u),z,u) = K(z,T(a(x,y,x),u)). [hyper(189,a,8524,a(flip),b,8858,a(flip))]. 8860 a(R(a(x,y,x),z,u),z,u) = K(z,a(x,y,x)). [para(7983(a,1),8859(a,2,2))]. 8861 a(R(a(x,y,x),z,u),z,u) = 1. [hyper(189,a,7990,a(flip),b,8860,a)]. 8864 L(x,y,R(a(z,u,z),y,x)) = x. [hyper(36,a,8861,a)]. 8865 (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(8864(a,1),8439(a,1,2))]. 8866 (R(a(x,y,x),z,u) * (z * u)) / u = z * R(a(x,y,x),z,u). [para(8002(a,1),8865(a,1,1,2,1))]. 8867 x * R(a(y,z,y),x,u) = a(y,z,y) * x. [hyper(386,a,8866,a),flip(a)]. 8868 R(a(x,y,x),z,u) = a(x,y,x). [hyper(20,a,7980,a(flip),b,8867,a)]. 8870 a(x,y,R(x,z,u)) = a(x,y,x). [hyper(189,a,8842,a(flip),b,8868,a(flip)),flip(a)]. 8871 a(x,y * K(z,y),x) = L(a(x,y,x),y,z). [hyper(189,a,8037,a(flip),b,8868,a(flip))]. 8872 (a(x,y,x) * z) * u = a(x,y,x) * (z * u). [para(8868(a,1),110(a,1,1)),flip(a)]. 8874 L(x,y,a(z,u,z)) = x. [para(8868(a,1),8864(a,1,3))]. 8875 (x * (y * a(z,u,z))) \ (x * (a(z,u,z) * (y * w))) = L(w,a(z,u,z) * y,x). [para(8874(a,1),7988(a,2,1))]. 8878 L(x,y,R(x,z,u)) = a(x,y,x) \ x. [para(8870(a,1),7902(a,1,1)),flip(a)]. 8879 L(x,y,R(x,z,u)) = a(x,y,L(x,w,v5)) \ x. [para(8763(a,2),8878(a,2,1))]. 8882 L(a(x,L(y,z,u),x),L(y,z,u),w) = a(x,L(y * K(w,y),z,u),x). [para(4729(a,1),8871(a,1,2)),flip(a)]. 8883 (a(x,y,x) * (z * u)) \ ((a(x,y,x) * z) * (u * w)) = L(w,u,a(x,y,x) * z). [para(8872(a,1),31(a,2,1)),flip(a)]. 8884 (x * a(y,z,y)) * u = a(y,z,y) * (x * u). [para(7980(a,1),8872(a,1,1))]. 8885 L(x,y,R(x,z,u)) = L(x,y,L(x,w,v5)). [hyper(189,a,8021,a(flip),b,8879,a)]. 8887 L(x,y,L(x,z,u)) = L(x,y,x). [para(272(a,1),8885(a,1,3)),flip(a)]. 8888 L(L(x,y,z),u,L(x,w,v5)) = L(L(x,u,x),y,z). [para(8887(a,1),48(a,1,1)),flip(a)]. 8889 (x * a(y,z,y)) * u = (x * u) * a(y,z,y). [hyper(189,a,7980,a(flip),b,8884,a)]. 8892 (L(x,y,z) \ L(L(x,u,x),y,z)) \ w = w * a(L(x,y,z),u,L(x,y,z)). [para(8888(a,1),8000(a,1,1,2))]. 8893 (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) = a(u,L(z * K(x * y,z),y,x),u). [hyper(189,a,8039,a(flip),b,8882,a(flip)),flip(a)]. 8894 x * a(L(y,z,u),w,L(y,z,u)) = (a(y,w,L(y,z,u)) \ 1) \ x. [para(8272(a,1),8892(a,1,1)),flip(a)]. 8895 a(L(x,y,z),u,L(x,y,z)) = a(x,u,L(x,y,z)). [hyper(74,a,8810,a(flip),b,8894,a)]. 8896 L(x,y,z) * a(x,u,L(x,y,z)) = R(L(x,y,z),u,L(x,y,z)). [para(8895(a,1),7948(a,1,2))]. 8897 L(x,y,z) * a(x,u,L(x,y,z)) = L(R(x,u,x),y,z). [hyper(189,a,8751,a(flip),b,8896,a)]. 8898 L(x,y,z) * a(x,u,x) = L(R(x,u,x),y,z). [para(8763(a,1),8897(a,1,2))]. 8899 (x * (y * z)) \ ((x * y) * L(R(z,u,z),y,x)) = L(a(z,u,z),L(z,y,x),x * y). [para(8898(a,1),347(a,1,2,2))]. 8901 (a(x,y,x) * (z * u)) \ (a(x,y,x) * (z * (u * w))) = L(w,u,a(x,y,x) * z). [para(8872(a,1),8883(a,1,2))]. 8902 L(L(x,y,z),z * y,a(u,w,u)) = L(x,y,a(u,w,u) * z). [hyper(646,a,8901,a)]. 8903 L(x,y,a(z,u,z) * w) = L(x,y,w). [hyper(189,a,8874,a(flip),b,8902,a(flip))]. 8905 L(x,y,z * a(u,w,u)) = L(x,y,z). [para(7980(a,1),8903(a,1,3))]. 8906 (x * (y * z)) \ (x * (y * R(z,u,z))) = L(a(z,u,z),L(z,y,x),x * y). [para(102(a,1),8899(a,1,2))]. 8907 L(a(x,y,x),L(x,z,u),u * z) = L(a(x,y,x),z * x,u). [hyper(8338,a,8906,a),flip(a)]. 8908 L(a(x,y,x),z * x,u) = a(x,y,x). [hyper(8793,a,8907,a),flip(a)]. 8909 L(a(x,y,x),z,u) = a(x,y,x). [para(19(a,1),8908(a,1,2))]. 8912 L(a(x,y,x),z,u) = a(x,y,x) * 1. [hyper(189,a,15,a,b,8909,a)]. 8913 (x * y) * a(z,u,z) = x * (y * a(z,u,z)). [para(8909(a,1),102(a,1,2))]. 8914 L(a(x,y,x),z,u) != w | a(x,y,x) = w. [para(8912(a,2),85(a,1)),flip(b)]. 8916 (x * a(y,z,y)) * u = x * (u * a(y,z,y)). [hyper(21,a,8889,a(flip),b,8913,a)]. 8918 (x * a(y,z,y)) * u = x * (a(y,z,y) * u). [para(7980(a,2),8916(a,2,2))]. 8920 L(x,a(y,z,y),u) = x. [hyper(346,a,8918,a)]. 8924 (x * (y * a(z,u,z))) \ ((x * a(z,u,z)) * (y * w)) = L(w,L(y,a(z,u,z),x),x * a(z,u,z)). [para(8920(a,1),7989(a,1,2,2,1))]. 8925 (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) = a(u,(x * (y * z)) / (x * y),u). [para(4490(a,1),8893(a,2,2))]. 8926 L(L(a(x,y,x),y,z),z * y,u) = a(x,(u * (z * y)) / (u * z),x). [hyper(7957,a,8925,a)]. 8927 L(a(x,y,x),z * y,u) = a(x,(u * (z * y)) / (u * z),x). [para(8909(a,1),8926(a,1,1))]. 8928 L(a(x,y,x),z * y,u) = a(x,(u * z) \ (u * (z * y)),x). [hyper(189,a,8668,a(flip),b,8927,a)]. 8930 L(a(x,y,x),z * y,u) = a(x,L(y,z,u),x). [para(31(a,2),8928(a,2,2))]. 8931 a(x,L(y,z,u),x) = a(x,y,x). [hyper(8914,a,8930,a),flip(a)]. 8933 R(x,L(y,z,u),x) = x * a(x,y,x). [para(8931(a,1),7948(a,1,2)),flip(a)]. 8934 R(x,L(y,z,u),x) = R(x,y,x). [hyper(189,a,7948,a(flip),b,8933,a)]. 8935 R(x,(y \ z) \ u,x) = R(x,z \ (y * u),x). [para(359(a,1),8934(a,1,2)),flip(a)]. 8936 R(x \ y,y \ (x * x),x \ y) = ((y / x) \ x) \ x. [hyper(189,a,6907,a(flip),b,8935,a(flip))]. 8937 R(x \ y,y \ (x * x),x \ y) = (y \ x) \ 1. [hyper(189,a,4279,a(flip),b,8936,a)]. 8938 (x * (y * a(z,u,z))) \ (x * (a(z,u,z) * (y * w))) = L(w,L(y,a(z,u,z),x),x * a(z,u,z)). [para(8918(a,1),8924(a,1,2))]. 8939 L(x,L(y,a(z,u,z),w),w * a(z,u,z)) = L(x,a(z,u,z) * y,w). [hyper(189,a,8875,a(flip),b,8938,a(flip))]. 8940 L(x,a(y,z,y) * u,w) = L(x,u,w * a(y,z,y)). [para(8920(a,1),8939(a,1,2)),flip(a)]. 8941 L(x,a(y,z,y) * u,w) = L(x,u,w). [hyper(189,a,8905,a(flip),b,8940,a)]. 8943 L(x,R(y,z,y),u) = L(x,y,u). [para(7950(a,1),8941(a,1,2))]. 8946 L(x,(y \ z) \ 1,u) = L(x,z \ y,u). [para(8937(a,1),8943(a,1,2))]. 8947 L(x,(y * z) \ y,u) = L(x,z \ 1,u). [para(16(a,1),8946(a,1,2,1)),flip(a)]. 8948 L(x,L(y \ 1,y,z),u) = L(x,y \ 1,u). [para(140(a,2),8947(a,1,2))]. 8949 L(x,y \ 1,y * y) = x. [hyper(189,a,1916,a(flip),b,8948,a(flip))]. 8950 (x * (x * (x \ 1))) \ ((x * x) * y) = L((1 / x) \ y,x \ 1,x * x). [hyper(189,a,1891,a(flip),b,8948,a(flip)),flip(a)]. 8953 L((1 / x) \ y,x \ 1,x * x) = x \ ((x * x) * y). [para(62(a,1),8950(a,1,1)),flip(a)]. 8954 x \ ((x * x) * y) = (1 / x) \ y. [hyper(189,a,8949,a(flip),b,8953,a(flip))]. 8955 (1 / x) \ L(y,x,x) = x * y. [hyper(356,a,8954,a),flip(a)]. 8957 L(x,y,y \ 1) = L(x,y,y). [hyper(2389,a,8955,a),flip(a)]. 8958 (1 / x) * (x * y) = L(y,x,x). [para(8955(a,1),17(a,1,2))]. 8959 (x \ 1) \ (x \ y) = L(y,x,x). [hyper(7397,a,8957,a)]. 8960 T(x * y,x) / x = L(y,x,x). [hyper(4281,a,8957,a)]. 8961 T(T(x,y) * y,x) = x * L(y,x,x). [para(8958(a,1),4698(a,2,2))]. 8962 L((x \ 1) \ y,x \ 1,x * L(z,x,x)) = ((x * z) / x) \ (T(T(x,z) * z,x) * y). [para(8958(a,1),5834(a,1,3,2))]. 8963 (x * y) * (y \ 1) = L(x,y,y). [hyper(660,a,8959,a)]. 8964 x * a(y,x,y) = L(x,y,y). [hyper(189,a,7944,a(flip),b,8960,a(flip)),flip(a)]. 8965 a(x,y,x) * y = L(y,x,x). [hyper(7993,a,8964,a)]. 8966 L(x,L(y,z,z),u) = L(x,y,u). [para(8965(a,1),8941(a,1,2))]. 8967 L(x / y,y,y) = x * (y \ 1). [hyper(252,a,8963,a),flip(a)]. 8968 x * L(y,x,x) = (1 / x) \ y. [para(8963(a,1),852(a,1,2))]. 8971 L(x,y * (z \ 1),u) = L(x,y / z,u). [para(8967(a,1),8966(a,1,2))]. 8972 T(T(x,y) * y,x) = (1 / x) \ y. [hyper(189,a,8968,a(flip),b,8961,a)]. 8973 L(x,y * (z \ 1),z) = L(x,z \ y,z). [hyper(189,a,8433,a(flip),b,8971,a)]. 8975 ((x * y) / x) * L(z,x \ y,x) = x * ((y * (x \ 1)) * z). [para(8973(a,1),4274(a,1,2))]. 8976 ((x * y) / x) \ (T(T(x,y) * y,x) * z) = L((x \ 1) \ z,x \ 1,(1 / x) \ y). [para(8968(a,1),8962(a,1,3)),flip(a)]. 8977 L((x \ 1) \ y,x \ 1,(1 / x) \ z) = ((x * z) / x) \ (((1 / x) \ z) * y). [para(8972(a,1),8976(a,1,2,1)),flip(a)]. 8978 ((x * y) / x) \ (((1 / x) \ y) * z) = L((x \ 1) \ z,x \ y,x). [hyper(189,a,8440,a(flip),b,8977,a(flip))]. 8979 ((x * y) / x) * L((x \ 1) \ z,x \ y,x) != u | ((1 / x) \ y) * z = u. [para(8978(a,1),203(a,1,2)),flip(b)]. 8980 x * ((y * (x \ 1)) * ((x \ 1) \ z)) = ((1 / x) \ y) * z. [hyper(8979,a,8975,a),flip(a)]. 8981 x * ((y * (z / x)) * x) = ((1 / x) \ y) * z. [para(491(a,1),8980(a,1,2))]. 8982 x \ (((1 / x) \ y) * z) = (y * (z / x)) * x. [hyper(80,a,8981,a)]. 8985 (x * (y / (z \ 1))) * (z \ 1) = (z \ 1) \ ((z \ x) * y). [para(67(a,1),8982(a,1,2,1,1)),flip(a)]. 8986 (x * T(y * z,y)) * (y \ 1) = (y \ 1) \ ((y \ x) * z). [para(4227(a,2),8985(a,1,1,2))]. 8987 (x * ((x \ y) * z)) * x = y * T(x * z,x). [hyper(21,a,655,a,b,8986,a),flip(a)]. 8988 (x * y) * T(x * z,x) = (x * (y * z)) * x. [para(16(a,1),8987(a,1,1,2,1)),flip(a)]. 8989 (x * y) * (z / (x \ 1)) = (x * (y * z)) * x. [para(4227(a,1),8988(a,1,2))]. 8991 ((1 / x) * (y * z)) * (1 / x) = ((1 / x) * y) * (z / x). [para(69(a,1),8989(a,1,2,2)),flip(a)]. 8992 ((1 / x) * y) * (z / x) = (1 / x) * ((y * z) / x). [hyper(189,a,4256,a(flip),b,8991,a(flip))]. 8993 (1 / x) * ((y * (z * x)) / x) = ((1 / x) * y) * z. [para(18(a,1),8992(a,1,2)),flip(a)]. 8994 (1 / x) \ (((1 / x) * y) * z) = (y * (z * x)) / x. [hyper(80,a,8993,a)]. 8995 $F # answer("Osborn 3"). [resolve(8994,a,55,a)]. ============================== end of proof ========================== % Disable descendants (x means already disabled): 55 given #8117 (H,wt=19): 8994 (1 / x) \ (((1 / x) * y) * z) = (y * (z * x)) / x. [hyper(80,a,8993,a)]. given #8118 (H,wt=19): 8996 T((x * (y * z)) / z,z) = (((1 / z) * x) * y) * z. [para(8993(a,1),4224(a,2,1))]. given #8119 (H,wt=17): 8997 (((1 / x) * y) * z) * x = x \ (y * (z * x)). [hyper(307,a,8996,a),flip(a)]. given #8120 (H,wt=21): 8998 (x \ 1) \ (y * (z * (x \ 1))) = ((x * y) * z) * (x \ 1). [para(67(a,1),8997(a,1,1,1,1)),flip(a)]. given #8121 (H,wt=28): 8999 (x \ 1) * (((x * y) * z) * (x \ 1)) != u * w | (y * (z * (x \ 1))) / w = u. [para(8998(a,1),298(a,1,2))]. -------- Proof 4 -------- "Osborn 4". ============================== PROOF ================================= % Proof 4 at 537.87 (+ 21.95) seconds: "Osborn 4". % Length of proof is 7737. % Level of proof is 543. % Maximum clause weight is 57.000. % Given clauses 8121 (14.956 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 x \ ((x * y) * z) = (y * (z * (x \ 1))) / (x \ 1) # label("Osborn 4") # label(non_clause) # label(goal). [goal]. 14 1 * x = x. [assumption]. 15 x * 1 = x. [assumption]. 16 x \ (x * y) = y. [assumption]. 17 x * (x \ y) = y. [assumption]. 18 (x * y) / y = x. [assumption]. 19 (x / y) * y = x. [assumption]. 20 x * y != z | x * u != z | u = y. [clausify(1)]. 21 x * y != z | u * y != z | u = x. [clausify(2)]. 22 x * y != x * z | y = z. [clausify(3)]. 23 x * y != z * y | x = z. [clausify(4)]. 24 x != y | z * x = z * y. [assumption]. 25 x != y | x * z = y * z. [assumption]. 26 (x * (y * z)) \ ((x * y) * z) = a(x,y,z) # label("associator"). [assumption]. 27 a(x,y,z) = (x * (y * z)) \ ((x * y) * z). [copy(26),flip(a)]. 28 (x * y) \ (y * x) = K(y,x) # label("commutator"). [assumption]. 29 K(x,y) = (y * x) \ (x * y). [copy(28),flip(a)]. 30 (x * y) \ (x * (y * z)) = L(z,y,x). [assumption]. 31 L(x,y,z) = (z * y) \ (z * (y * x)). [copy(30),flip(a)]. 32 ((x * y) * z) / (y * z) = R(x,y,z). [assumption]. 33 R(x,y,z) = ((x * y) * z) / (y * z). [copy(32),flip(a)]. 34 x \ (y * x) = T(y,x). [assumption]. 35 T(x,y) = y \ (x * y). [copy(34),flip(a)]. 36 a(x,y,z) != 1 | L(z,y,x) = z. [clausify(5)]. 37 L(x,y,z) != x | a(z,y,x) = 1. [clausify(6)]. 38 T(x,y) != x | T(y,x) = y. [clausify(7)]. 39 T(x,y) != x | K(x,y) = 1. [clausify(8)]. 40 K(x,y) != 1 | T(x,y) = x. [clausify(9)]. 41 T(T(x,y),z) = T(T(x,z),y). [assumption]. 42 T(L(x,y,z),u) = L(T(x,u),y,z). [assumption]. 43 L(T(x,y),z,u) = T(L(x,z,u),y). [copy(42),flip(a)]. 44 T(R(x,y,z),u) = R(T(x,u),y,z). [assumption]. 45 R(T(x,y),z,u) = T(R(x,z,u),y). [copy(44),flip(a)]. 46 L(R(x,y,z),u,w) = R(L(x,u,w),y,z). [assumption]. 47 R(L(x,y,z),u,w) = L(R(x,u,w),y,z). [copy(46),flip(a)]. 48 L(L(x,y,z),u,w) = L(L(x,u,w),y,z). [assumption]. 49 R(R(x,y,z),u,w) = R(R(x,u,w),y,z). [assumption]. 50 (x * (y * x)) * ((1 / x) * z) = x * (y * z) # label("gen left Bol"). [assumption]. 51 (x * (y \ 1)) * ((y * z) * y) = (x * z) * y # label("gen right Bol"). [assumption]. 56 c10 \ ((c10 * c11) * c12) != (c11 * (c12 * (c10 \ 1))) / (c10 \ 1) # label("Osborn 4") # answer("Osborn 4"). [deny(13)]. 57 (c11 * (c12 * (c10 \ 1))) / (c10 \ 1) != c10 \ ((c10 * c11) * c12) # answer("Osborn 4"). [copy(56),flip(a)]. 58 1 \ x = x. [para(14(a,1),16(a,1,2))]. 59 x \ x = 1. [para(15(a,1),16(a,1,2))]. 60 x \ (x * (y \ (y * z))) = z. [para(16(a,2),16(a,1))]. 61 (x * (x \ 1)) * y = y. [para(17(a,2),14(a,1,1))]. 62 x * (y * (y \ 1)) = x. [para(17(a,2),15(a,1,2))]. 63 x * (y * (y \ (x \ z))) = z. [para(17(a,2),17(a,1,2))]. 64 x / x = 1. [para(14(a,1),18(a,1,1))]. 66 x * (((x \ y) * z) / z) = y. [para(18(a,2),17(a,1,2))]. 67 x / (y \ x) = y. [para(17(a,1),18(a,1,1))]. 68 ((1 / x) * x) * y = y. [para(19(a,2),14(a,1,1))]. 69 (x / y) \ x = y. [para(19(a,1),16(a,1,2))]. 70 (x \ (x * (y / z))) * z = y. [para(16(a,2),19(a,1,1))]. 71 ((x * (x \ y)) / z) * z = y. [para(19(a,2),17(a,1))]. 72 (((x * y) / z) * z) / y = x. [para(19(a,2),18(a,1,1))]. 73 (((x / y) / z) * z) * y = x. [para(19(a,2),19(a,1,1))]. 74 x != y | 1 * z != y | z = x. [para(14(a,1),20(a,1))]. 75 x != y | z * u != y | z \ x = u. [para(17(a,1),20(a,1)),flip(c)]. 76 x != y | z * u != y | x / u = z. [para(19(a,1),21(a,1)),flip(c)]. 77 1 * x != y | y = x. [para(14(a,1),22(a,1)),flip(a)]. 78 (x * y) * 1 != x * z | z = y. [para(15(a,2),22(a,2)),flip(a)]. 80 x * y != z | x \ z = y. [para(17(a,1),22(a,1)),flip(a)]. 81 x * (x \ (y * z)) != y * u | u = z. [para(17(a,2),22(a,2)),flip(a)]. 82 (x / y) * z != x | z = y. [para(19(a,1),22(a,2))]. 85 x * 1 != y | y = x. [para(15(a,1),23(a,1)),flip(a)]. 86 x * 1 != y | x = y. [para(15(a,1),23(a,2))]. 87 x * (y \ z) != z | x = y. [para(17(a,1),23(a,2))]. 88 x * y != z | z / y = x. [para(19(a,1),23(a,1)),flip(a)]. 89 x * (y * (y \ z)) = x * z. [hyper(24,a,17,a)]. 90 ((x / y) * y) * z = x * z. [hyper(25,a,19,a)]. 91 (x * (x \ y)) * z = y * z. [hyper(25,a,17,a)]. 92 (x * (y * z)) * a(x,y,z) = (x * y) * z. [para(27(a,2),17(a,1,2))]. 93 (x * ((x \ y) * z)) \ (y * z) = a(x,x \ y,z). [para(17(a,1),27(a,2,2,1)),flip(a)]. 94 (x * y) \ ((x * (y / z)) * z) = a(x,y / z,z). [para(19(a,1),27(a,2,1,2)),flip(a)]. 95 (x * y) * K(y,x) = y * x. [para(29(a,2),17(a,1,2))]. 96 x \ ((y \ x) * y) = K(y \ x,y). [para(17(a,1),29(a,2,1)),flip(a)]. 97 ((x \ y) * x) \ y = K(x,x \ y). [para(17(a,1),29(a,2,2)),flip(a)]. 98 x \ (y * (x / y)) = K(y,x / y). [para(19(a,1),29(a,2,1)),flip(a)]. 99 (x * (y / x)) \ y = K(y / x,x). [para(19(a,1),29(a,2,2)),flip(a)]. 100 (x * 1) \ (x * y) = L(y,1,x). [para(14(a,1),31(a,2,2,2)),flip(a)]. 101 (x * y) \ (x * y) = L(1,y,x). [para(15(a,1),31(a,2,2,2)),flip(a)]. 102 (x * y) * L(z,y,x) = x * (y * z). [para(31(a,2),17(a,1,2))]. 103 x \ (y * ((y \ x) * z)) = L(z,y \ x,y). [para(17(a,1),31(a,2,1)),flip(a)]. 104 L(x \ y,x,z) = (z * x) \ (z * y). [para(17(a,1),31(a,2,2,2))]. 105 L(x,y / x,z) = (z * (y / x)) \ (z * y). [para(19(a,1),31(a,2,2,2))]. 106 (x * y) / (x * y) = R(1,x,y). [para(14(a,1),33(a,2,1,1)),flip(a)]. 107 ((x * 1) * y) / y = R(x,1,y). [para(14(a,1),33(a,2,2)),flip(a)]. 108 R(x,x \ y,z) = (y * z) / ((x \ y) * z). [para(17(a,1),33(a,2,1,1))]. 109 R(x,y,(x * y) \ z) = z / (y * ((x * y) \ z)). [para(17(a,1),33(a,2,1))]. 110 R(x,y,z) * (y * z) = (x * y) * z. [para(33(a,2),19(a,1,1))]. 111 R(x / y,y,z) = (x * z) / (y * z). [para(19(a,1),33(a,2,1,1))]. 112 T(x,x) = x. [para(35(a,2),16(a,1))]. 113 x * T(y,x) = y * x. [para(35(a,2),17(a,1,2))]. 114 T(x,x \ y) = (x \ y) \ y. [para(17(a,1),35(a,2,2))]. 115 T(x / y,y) = y \ x. [para(19(a,1),35(a,2,2))]. 116 T(T(R(x,y,z),u),w) = T(R(T(x,w),y,z),u). [para(45(a,2),41(a,1,1)),flip(a)]. 117 (x * (y * x)) * (1 / x) = x * (y * 1). [para(15(a,1),50(a,1,2))]. 118 (x * y) * ((1 / x) * z) = x * ((y / x) * z). [para(19(a,1),50(a,1,1,2))]. 119 (x \ 1) * ((x * y) * x) = (1 * y) * x. [para(14(a,1),51(a,1,1))]. 120 (x * (y \ 1)) * (z * y) = (x * (y \ z)) * y. [para(17(a,1),51(a,1,2,1))]. 121 (x * (x \ 1)) \ y = y. [para(17(a,2),58(a,1,1))]. 122 ((1 / x) * x) \ y = y. [para(19(a,2),58(a,1,1))]. 123 K(x,x) = 1. [para(59(a,1),29(a,2))]. 124 T(T(x,y),x) = T(x,y). [para(112(a,1),41(a,1,1)),flip(a)]. 125 T(L(x,y,z),x) = L(x,y,z). [para(112(a,1),43(a,1,1)),flip(a)]. 126 (x / (y \ x)) * z = y * z. [hyper(25,a,67,a)]. 127 (x * y) / K(x,y) = y * x. [para(29(a,2),67(a,1,2))]. 128 (x * (y * z)) / L(z,y,x) = x * y. [para(31(a,2),67(a,1,2))]. 129 (x * y) / T(x,y) = y. [para(35(a,2),67(a,1,2))]. 130 x / (y / ((z \ x) \ y)) = z. [para(67(a,2),67(a,1,2))]. 131 ((x / y) \ x) * z = y * z. [hyper(25,a,69,a)]. 132 x * ((y / (x \ z)) \ y) = z. [para(69(a,2),17(a,1,2))]. 133 R(x,y,z) \ ((x * y) * z) = y * z. [para(33(a,2),69(a,1,1))]. 134 ((x / (y / z)) \ x) \ y = z. [para(69(a,2),69(a,1,1))]. 135 (x * (x \ 1)) * y != z | z = y. [para(17(a,2),77(a,1,1))]. 136 ((1 / x) * x) * y != z | z = y. [para(19(a,2),77(a,1,1))]. 137 x * (y * (y \ 1)) != z | x = z. [para(17(a,2),86(a,1,2))]. 138 x * (y \ y) != z | x = z. [para(59(a,2),86(a,1,2))]. 139 R(x,x \ 1,y) = y / ((x \ 1) * y). [para(61(a,1),33(a,2,1))]. 140 L(x \ 1,x,y) = (y * x) \ y. [para(62(a,1),31(a,2,2))]. 141 R(1 / x,x,y) = y / (x * y). [para(68(a,1),33(a,2,1))]. 142 T((x * y) / x,x) = y. [hyper(20,a,19,a(flip),b,113,a)]. 143 (x * T(y,x)) / x = y. [hyper(21,a,19,a,b,113,a(flip)),flip(a)]. 144 x \ (y * T(x,y)) = y. [hyper(20,a,17,a,b,113,a(flip)),flip(a)]. 145 (x \ y) * T(x,x \ y) = y. [para(113(a,2),17(a,1))]. 146 x * T(y / x,x) = y. [para(113(a,2),19(a,1))]. 147 x * y != z | y * u != z | T(x,y) = u. [para(113(a,1),20(a,1)),flip(c)]. 148 x * y != z * x | T(z,x) = y. [para(113(a,1),22(a,1)),flip(a)]. 149 x * T(y,x) != z * x | z = y. [para(113(a,2),23(a,2)),flip(a)]. 150 (x * (T(y,x) * z)) \ ((y * x) * z) = a(x,T(y,x),z). [para(113(a,1),27(a,2,2,1)),flip(a)]. 151 (x * (y * T(z,x * y))) \ (z * (x * y)) = a(x,y,T(z,x * y)). [para(113(a,1),27(a,2,2)),flip(a)]. 152 (x * y) \ (T(x,y) * y) = K(T(x,y),y). [para(113(a,1),29(a,2,1)),flip(a)]. 153 (x * y) \ (y * (T(x,y) * z)) = L(z,T(x,y),y). [para(113(a,1),31(a,2,1)),flip(a)]. 154 (x * y) \ (x * (z * y)) = L(T(z,y),y,x). [para(113(a,1),31(a,2,2,2)),flip(a)]. 155 (x * (y * z)) / (z * T(x,y * z)) = R(y,z,T(x,y * z)). [para(113(a,1),33(a,2,1)),flip(a)]. 156 ((x * y) * T(z,y)) / (z * y) = R(x,y,T(z,y)). [para(113(a,1),33(a,2,2)),flip(a)]. 157 T(x,y) \ (x * y) = T(y,T(x,y)). [para(113(a,1),35(a,2,2)),flip(a)]. 158 x * T(T(y,x),z) = T(y,z) * x. [para(41(a,1),113(a,1,2))]. 159 x * L(T(y,x),z,u) = L(y,z,u) * x. [para(43(a,2),113(a,1,2))]. 160 x * R(T(y,x),z,u) = R(y,z,u) * x. [para(45(a,2),113(a,1,2))]. 161 T(T(x / y,z),y) = T(y \ x,z). [para(115(a,1),41(a,1,1)),flip(a)]. 162 T(L(x / y,z,u),y) = L(y \ x,z,u). [para(115(a,1),43(a,1,1)),flip(a)]. 163 T(R(x / y,z,u),y) = R(y \ x,z,u). [para(115(a,1),45(a,1,1)),flip(a)]. 164 T(x / (x / y),x / y) = y. [para(115(a,2),69(a,1))]. 165 K(x \ 1,x) = (x \ 1) * x. [para(121(a,1),29(a,2))]. 166 x * ((x \ 1) * y) = L(y,x \ 1,x). [para(121(a,1),31(a,2)),flip(a)]. 167 ((1 / (x * y)) * x) * y = a(1 / (x * y),x,y). [para(122(a,1),27(a,2)),flip(a)]. 168 K(x,1 / x) = x * (1 / x). [para(122(a,1),29(a,2))]. 169 (1 / x) * (x * y) = L(y,x,1 / x). [para(122(a,1),31(a,2)),flip(a)]. 170 K(T(x,y),x) = 1. [hyper(39,a,124,a)]. 171 T(x,T(x,y)) = x. [hyper(38,a,124,a)]. 172 T(T(T(x,y),z),x) = T(T(x,y),z). [para(124(a,1),41(a,1,1)),flip(a)]. 173 T(x,y) * x = x * T(x,y). [para(124(a,1),113(a,1,2)),flip(a)]. 174 x / T(y,y \ x) = y \ x. [para(17(a,1),129(a,1,1))]. 175 (R(x,y,z) * u) / R(T(x,u),y,z) = u. [para(45(a,2),129(a,1,2))]. 176 T(T((x * y) / x,z),x) = T(y,z). [para(142(a,1),41(a,1,1)),flip(a)]. 177 K(x,(y * x) / y) = 1. [para(142(a,1),170(a,1,1))]. 178 (x * T(T(y,x),z)) / x = T(y,z). [para(41(a,1),143(a,1,1,2))]. 179 L(x,y,z) \ (u * L(T(x,u),y,z)) = u. [para(43(a,2),144(a,1,2,2))]. 180 T(x,(y * x) / y) = x. [hyper(40,a,177,a)]. 181 x \ x != y | 1 = y. [para(14(a,1),138(a,1))]. 183 L(x \ (y \ z),x,y) = (y * x) \ z. [para(63(a,1),31(a,2,2))]. 184 ((x * (x \ y)) / z) \ y = z. [hyper(80,a,71,a)]. 185 ((x / y) * y) / z = x / z. [para(19(a,1),72(a,1,1,1,1))]. 187 R((x / y) / z,z,y) = x / (z * y). [para(73(a,1),33(a,2,1))]. 188 T(x,1) = x. [hyper(74,a,15,a(flip),b,113,a)]. 189 x != y | z != y | z = x. [para(14(a,1),74(b,1))]. 190 K(x,1) = 1. [hyper(39,a,188,a)]. 191 T(1,x) = 1. [hyper(38,a,188,a)]. 193 (x / y) \ x = z * (z \ y). [hyper(189,a,69,a,b,17,a),flip(a)]. 194 x / (y \ x) = z * (z \ y). [hyper(189,a,67,a,b,17,a),flip(a)]. 195 (x * y) / y = (x / z) * z. [hyper(189,a,19,a,b,18,a)]. 196 (x / y) * y = x * 1. [hyper(189,a,19,a,b,15,a),flip(a)]. 197 x \ (x * y) = z * (z \ y). [hyper(189,a,17,a,b,16,a)]. 198 x * (x \ y) = y * 1. [hyper(189,a,17,a,b,15,a),flip(a)]. 199 x * 1 != y * z | x / z = y. [para(196(a,1),23(a,1))]. 200 (x / y) * y != z | z = x. [para(196(a,2),85(a,1))]. 201 x \ (y * (y \ x)) = 1. [hyper(80,a,198,a(flip))]. 202 x * 1 != y * z | y \ x = z. [para(198(a,1),22(a,1))]. 203 x * (x \ y) != z | z = y. [para(198(a,2),85(a,1))]. 204 R(x,y,z) * (y * z) != u | (x * y) * z = u. [para(33(a,2),200(a,1,1)),flip(b)]. 205 x * T(y,x) != z | y * x = z. [para(129(a,1),200(a,1,1)),flip(b)]. 206 x * y != z | y * T(x,y) = z. [para(143(a,1),200(a,1,1)),flip(b)]. 207 (x * y) * L(z,y,x) != u | x * (y * z) = u. [para(31(a,2),203(a,1,2)),flip(b)]. 208 (x * (x \ 1)) \ y != z | z = y. [para(61(a,1),203(a,1))]. 209 ((1 / x) * x) \ y != z | z = y. [para(68(a,1),203(a,1))]. 210 (x / (y * (y \ z))) * z = x. [hyper(200,a,89,a)]. 211 x * (x \ (y * z)) = y * (u * (u \ z)). [hyper(189,a,17,a,b,89,a),flip(a)]. 212 (x * (x \ y)) * z != y * u | z = u. [para(91(a,1),22(a,2))]. 213 x * K(y \ x,y) = (y \ x) * y. [hyper(189,a,91,a(flip),b,95,a(flip)),flip(a)]. 214 x * K(y,x / y) = y * (x / y). [hyper(189,a,90,a(flip),b,95,a(flip)),flip(a)]. 215 (x * y) * z != y * x | K(y,x) = z. [para(95(a,1),22(a,1)),flip(a)]. 217 (x * (y * z)) \ (x * (z * y)) = L(K(z,y),y * z,x). [para(95(a,1),31(a,2,2,2)),flip(a)]. 218 (x * y) / (x * K(x,y)) = R(y,x,K(x,y)). [para(95(a,1),33(a,2,1)),flip(a)]. 219 T(x,x \ y) * z = ((x \ y) \ y) * z. [hyper(25,a,114,a)]. 220 x * T(y,y \ z) = x * ((y \ z) \ z). [hyper(24,a,114,a)]. 221 T(T(x,y),x \ z) = T((x \ z) \ z,y). [para(114(a,1),41(a,1,1)),flip(a)]. 222 x / K(y,y \ x) = (y \ x) * y. [para(17(a,1),127(a,1,1))]. 223 x * (((y / x) \ y) \ z) = z. [hyper(203,a,131,a)]. 224 ((x / y) \ x) * (y \ z) = z. [hyper(189,a,17,a(flip),b,131,a)]. 225 ((x / y) \ x) * z != u | y \ u = z. [para(131(a,2),80(a,1))]. 226 (x / y) * ((z / y) \ z) = x. [para(69(a,1),132(a,1,2,1,2))]. 227 (x \ y) * z != y | T(x,x \ y) = z. [para(145(a,1),22(a,1)),flip(a)]. 228 T(x / (x / y),(z / (x / y)) \ z) = y. [para(69(a,2),164(a,1,2))]. 229 x * T(x \ 1,x) = K(x \ 1,x). [hyper(189,a,113,a,b,165,a),flip(a)]. 231 K(x,1 / x) \ (x * ((1 / x) * y)) = L(y,1 / x,x). [para(168(a,2),31(a,2,1)),flip(a)]. 233 x / R(T(y,R(y,z,u) \ x),z,u) = R(y,z,u) \ x. [para(45(a,2),174(a,1,2))]. 234 x / (y \ ((x / z) * z)) = y. [hyper(189,a,67,a(flip),b,185,a(flip))]. 236 (x / y) \ x != z | z = y. [para(193(a,2),203(a,1))]. 237 x \ (x * y) != z | z = y. [para(18(a,1),236(a,1,1))]. 238 x \ (y * x) != z | T(y,x) = z. [para(129(a,1),236(a,1,1)),flip(b)]. 240 (x * y) \ (y * x) != z | K(y,x) = z. [para(127(a,1),236(a,1,1)),flip(b)]. 242 T((x * y) / x,x) != z | z = y. [para(115(a,2),237(a,1))]. 244 x / (y \ x) != z * u | z \ y = u. [para(194(a,2),22(a,1))]. 245 (x * (x \ y)) \ z = y \ z. [para(194(a,1),69(a,1,1))]. 246 x / (y \ x) != z | z = y. [para(194(a,2),203(a,1))]. 247 (x * (x \ y)) \ z != u | y \ z = u. [para(194(a,1),236(a,1,1)),flip(b)]. 248 (x * y) / y != z | z = x. [para(16(a,1),246(a,1,2))]. 249 x / x != y | 1 = y. [para(58(a,1),246(a,1,2)),flip(b)]. 250 (x * T(y,x)) / x != z | z = y. [para(144(a,1),246(a,1,2))]. 251 (x * y) / y != z * u | x / u = z. [para(195(a,2),23(a,1))]. 252 ((x / y) * y) * z != u | x * z = u. [para(195(a,1),200(a,1,1)),flip(b)]. 253 x \ (x * y) != z * u | z \ y = u. [para(197(a,2),22(a,1))]. 254 x * (y * (y \ z)) != u | x * z = u. [para(197(a,1),203(a,1,2)),flip(b)]. 255 R(x,y,y \ z) * z = (x * y) * (y \ z). [para(33(a,2),210(a,1,1))]. 256 ((x \ y) \ y) * (T(x,x \ y) \ z) = z. [para(174(a,1),224(a,1,1,1))]. 257 x * ((y / z) \ y) != u | u / z = x. [para(226(a,1),23(a,1)),flip(a)]. 258 (x / T(y,y \ z)) * ((y \ z) \ z) = x. [para(174(a,1),226(a,1,2,1))]. 260 x * y != x * z | z = y. [para(15(a,1),78(a,1))]. 261 x \ (x * y) = L(y,1,x). [para(15(a,1),100(a,1,1))]. 262 L(x,1,y) = x. [hyper(237,a,261,a)]. 265 L(1,x,y) = 1. [hyper(181,a,101,a),flip(a)]. 268 R(1,x,y) = 1. [hyper(249,a,106,a),flip(a)]. 271 (x * y) / y = R(x,1,y). [para(15(a,1),107(a,1,1,1))]. 272 R(x,1,y) = x. [hyper(248,a,271,a)]. 273 R(x,1,y) != z | z = x. [para(271(a,1),248(a,1))]. 276 L((x \ y) \ 1,x \ y,x) = y \ x. [hyper(189,a,245,a(flip),b,140,a)]. 277 L(x \ 1,x,1 / x) = 1 / x. [hyper(189,a,122,a(flip),b,140,a)]. 278 (x * y) * L(y \ 1,y,x) = x. [para(140(a,2),17(a,1,2))]. 279 L(x \ 1,x,y / x) = y \ (y / x). [para(19(a,1),140(a,2,1))]. 280 T((x * y) \ x,z) = L(T(y \ 1,z),y,x). [para(140(a,1),43(a,2,1)),flip(a)]. 281 R((x * y) \ x,z,u) = L(R(y \ 1,z,u),y,x). [para(140(a,1),47(a,1,1))]. 282 L(L(x \ 1,y,z),x,u) = L((u * x) \ u,y,z). [para(140(a,1),48(a,1,1)),flip(a)]. 283 x / L(y \ 1,y,x) = x * y. [para(140(a,2),67(a,1,2))]. 284 L(x,1 / x,y) = (y * (1 / x)) \ y. [para(69(a,1),140(a,1,1))]. 285 R(1 / x,x,y) * z = (y / (x * y)) * z. [hyper(25,a,141,a)]. 286 R(1 / x,x,x \ y) = (x \ y) / y. [para(17(a,1),141(a,2,2))]. 287 R(1 / (x / y),x / y,y) = y / x. [para(19(a,1),141(a,2,2))]. 288 T(x / (y * x),z) = R(T(1 / y,z),y,x). [para(141(a,1),45(a,2,1)),flip(a)]. 289 R(R(1 / x,y,z),x,u) = R(u / (x * u),y,z). [para(141(a,1),49(a,1,1)),flip(a)]. 290 R(1 / x,x,y) \ y = x * y. [para(141(a,2),69(a,1,1))]. 291 x \ (x * (y * z)) != z * u | T(y,z) = u. [para(16(a,2),148(a,2)),flip(a)]. 292 T(x,y) * z != x * y | T(y,T(x,y)) = z. [para(113(a,1),148(a,2))]. 294 (x * y) * K(y,x) != x * z | T(y,x) = z. [para(95(a,2),148(a,2)),flip(a)]. 297 (x / y) * y != z * u | x / u = z. [para(196(a,2),199(a,1))]. 298 x * (x \ y) != z * u | y / u = z. [para(198(a,2),199(a,1))]. 299 x * (y * (y \ 1)) != z * u | z \ x = u. [para(17(a,2),202(a,1,2))]. 300 (x / y) * y != z * u | z \ x = u. [para(196(a,2),202(a,1))]. 301 x * (x \ y) != z * u | z \ y = u. [para(198(a,2),202(a,1))]. 302 x * T(T(y,x),z) != u | T(y,z) * x = u. [para(41(a,1),205(a,1,2))]. 303 x * L(T(y,x),z,u) != w | L(y,z,u) * x = w. [para(43(a,2),205(a,1,2))]. 304 x * R(T(y,x),z,u) != w | R(y,z,u) * x = w. [para(45(a,2),205(a,1,2))]. 305 K(x,1 / x) != y | x * (1 / x) = y. [para(29(a,2),209(a,1)),flip(b)]. 306 L(x,y,1 / y) != z | (1 / y) * (y * x) = z. [para(31(a,2),209(a,1)),flip(b)]. 307 T(x / y,y) != z | y \ x = z. [para(17(a,1),242(a,1,1,1)),flip(b)]. 308 (x * y) * z != x | L(y \ 1,y,x) = z. [para(278(a,1),22(a,1)),flip(a)]. 309 L(L(x \ 1,x,y),y * x,z) = (z * (y * x)) \ (z * y). [para(278(a,1),31(a,2,2,2))]. 310 (x * y) \ x != z | L(y \ 1,y,x) = z. [para(278(a,1),237(a,1,2)),flip(b)]. 311 x / L(y,1 / y,x) = x * (1 / y). [para(69(a,1),283(a,1,2,1))]. 312 L(x \ 1,x,y) * (((y * x) \ y) \ z) = z. [para(283(a,1),223(a,1,2,1,1))]. 313 R(x,x \ 1,y) \ y = (x \ 1) * y. [para(67(a,1),290(a,1,1,1))]. 314 x / (y * x) != z | R(1 / y,y,x) = z. [para(290(a,1),246(a,1,2)),flip(b)]. 315 T(x,x \ y) != z | (x \ y) \ y = z. [para(67(a,1),307(a,1,1))]. 316 T(x,T(y,x)) != z | T(y,x) \ (y * x) = z. [para(129(a,1),307(a,1,1))]. 317 T(x \ y,T(x,x \ y)) != z | T(x,x \ y) \ y = z. [para(174(a,1),307(a,1,1))]. 318 x \ T(y,y \ z) = x \ ((y \ z) \ z). [hyper(75,a,114,a,b,17,a)]. 319 L(x \ 1,x,y) / ((y * x) \ y) = 1. [hyper(76,a,140,a,b,14,a)]. 320 x \ (y * T(y \ x,y)) = K(y \ x,y). [para(113(a,2),96(a,1,2))]. 321 K(x \ 1,x) \ 1 = K(x,x \ 1). [para(165(a,2),97(a,1,1))]. 322 x * T(x \ (y * x),z) = T(y,z) * x. [para(35(a,1),158(a,1,2,1))]. 323 T(x / y,z) * y = y * T(y \ x,z). [para(115(a,1),158(a,1,2,1)),flip(a)]. 324 T(x,y) * T(x,z) = T(x,z) * T(x,y). [para(171(a,1),158(a,1,2,1))]. 325 T((x * y) / x,z) * x = x * T(y,z). [para(142(a,1),158(a,1,2,1)),flip(a)]. 326 (x \ y) * T((x \ y) \ y,z) = T(x,z) * (x \ y). [para(114(a,1),158(a,1,2,1))]. 327 T(x / (x / y),z) * (x / y) = (x / y) * T(y,z). [para(164(a,1),158(a,1,2,1)),flip(a)]. 328 (x * T(x \ y,z)) / x = T(y / x,z). [para(161(a,1),143(a,1,1,2))]. 329 T(x,T(T(x,y),z)) = x. [hyper(38,a,172,a)]. 330 (x * T(y,z)) / x = T((x * y) / x,z). [para(176(a,1),143(a,1,1,2))]. 331 x * T(y,z) != u * x | T((x * y) / x,z) = u. [para(176(a,1),149(a,1,2)),flip(b)]. 332 (x * T(y,z)) / x != u | T((x * y) / x,z) = u. [para(176(a,1),250(a,1,1,2)),flip(b)]. 333 T(T(x,y),z) != u | T(T(x,z),y) = u. [para(178(a,1),242(a,1,1)),flip(b)]. 334 (x \ y) * x != y * z | K(x \ y,x) = z. [para(213(a,1),22(a,1))]. 335 (x * y) \ (x * ((z \ y) * z)) = L(K(z \ y,z),y,x). [para(213(a,1),31(a,2,2,2)),flip(a)]. 336 x \ ((y \ x) * y) != z | K(y \ x,y) = z. [para(213(a,1),237(a,1,2)),flip(b)]. 338 x \ (y * (x / y)) != z | K(y,x / y) = z. [para(214(a,1),237(a,1,2)),flip(b)]. 339 1 / K(x,x \ 1) = K(x \ 1,x). [hyper(189,a,165,a,b,222,a)]. 340 (x * y) * L(z,y,x) != x * u | y * z = u. [para(31(a,2),81(a,1,2)),flip(b)]. 341 (x * y) / L(z \ y,z,x) = x * z. [hyper(76,a,89,a(flip),b,102,a)]. 342 x \ ((x * y) * L(z,y,x)) = y * z. [hyper(75,a,102,a,b,xx)]. 343 L(x \ (y \ ((y * x) * z)),x,y) = z. [hyper(20,a,63,a(flip),b,102,a)]. 344 x * L(y,z \ x,z) = z * ((z \ x) * y). [hyper(189,a,91,a(flip),b,102,a(flip)),flip(a)]. 345 x * L(y,z,x / z) = (x / z) * (z * y). [hyper(189,a,90,a(flip),b,102,a(flip)),flip(a)]. 346 (x * y) * z != x * (y * u) | L(u,y,x) = z. [para(102(a,1),22(a,1)),flip(a)]. 347 (x * (y * z)) \ ((x * y) * (L(z,y,x) * u)) = L(u,L(z,y,x),x * y). [para(102(a,1),31(a,2,1)),flip(a)]. 348 (x * (y * z)) \ (x * (y * (z * u))) = L(L(u,z,y),y * z,x). [para(102(a,1),31(a,2,2,2)),flip(a)]. 349 (x * (y * z)) / (y * L(z,y,x)) = R(x,y,L(z,y,x)). [para(102(a,1),33(a,2,1)),flip(a)]. 350 (x * y) * T(L(z,y,x),u) = x * (y * T(z,u)). [para(43(a,1),102(a,1,2))]. 351 (x * y) * R(L(z,y,x),u,w) = x * (y * R(z,u,w)). [para(47(a,2),102(a,1,2))]. 352 (x * y) * L(L(z,y,x),u,w) = x * (y * L(z,u,w)). [para(48(a,1),102(a,1,2))]. 353 (x * y) * L(z,T(x,y),y) = y * (T(x,y) * z). [para(113(a,1),102(a,1,1))]. 354 K(x \ 1,x) * L(y,x,x \ 1) = (x \ 1) * (x * y). [para(165(a,2),102(a,1,1))]. 355 (x * y) \ (x * (y * z)) != u | L(z,y,x) = u. [para(102(a,1),237(a,1,2)),flip(b)]. 356 x \ ((x * y) * L(z,y,x)) != u | y * z = u. [para(102(a,2),237(a,1,2)),flip(b)]. 357 x * ((x \ 1) * y) != z | L(y,x \ 1,x) = z. [para(102(a,1),135(a,1)),flip(b)]. 358 (1 / x) * (x * y) != z | L(y,x,1 / x) = z. [para(102(a,1),136(a,1)),flip(b)]. 359 L((x \ y) \ z,x \ y,x) = y \ (x * z). [hyper(189,a,245,a(flip),b,104,a)]. 360 L(x \ T(y * x,y),x,y) = y. [hyper(189,a,144,a(flip),b,104,a)]. 361 L(x \ y,x,1 / x) = (1 / x) * y. [hyper(189,a,122,a(flip),b,104,a)]. 362 L((x \ 1) \ y,x \ 1,x) = x * y. [hyper(189,a,121,a(flip),b,104,a)]. 363 L(x \ ((y * x) / y),x,y) = K(y,(y * x) / y). [hyper(189,a,98,a(flip),b,104,a)]. 364 L(x \ y,x,z / x) = z \ ((z / x) * y). [para(19(a,1),104(a,2,1))]. 365 L(T(x,y) \ z,T(x,y),y) = (x * y) \ (y * z). [para(113(a,1),104(a,2,1))]. 366 L(x \ T(y,z),x,z) = (z * x) \ (y * z). [para(113(a,1),104(a,2,2))]. 367 L((x \ 1) \ y,x \ 1,x) != z | x * y = z. [para(104(a,2),208(a,1)),flip(b)]. 368 L(L(x,y,z) \ u,L(x,y,z),z * y) = (z * (y * x)) \ ((z * y) * u). [para(102(a,1),104(a,2,1))]. 369 (x * y) * (y \ 1) = R(x,y,y \ 1). [hyper(137,a,110,a),flip(a)]. 370 R(x,x \ y,z) \ (y * z) = (x \ y) * z. [hyper(75,a,91,a(flip),b,110,a)]. 371 R(x / y,y,z) \ (x * z) = y * z. [hyper(75,a,90,a(flip),b,110,a)]. 372 R(((x * (y * z)) / z) / y,y,z) = x. [hyper(21,a,73,a(flip),b,110,a)]. 373 R(x,y,y \ 1) / (y \ 1) = x * y. [hyper(76,a,62,a(flip),b,110,a(flip))]. 374 (x * y) \ R(x,y,y \ 1) = y \ 1. [hyper(75,a,62,a(flip),b,110,a(flip))]. 375 R(x,y / z,z) * y = (x * (y / z)) * z. [para(19(a,1),110(a,1,2))]. 376 (x * y) * z != u * (y * z) | R(x,y,z) = u. [para(110(a,1),23(a,1))]. 377 ((x * y) * z) \ ((R(x,y,z) * y) * z) = a(R(x,y,z),y,z). [para(110(a,1),27(a,2,1)),flip(a)]. 378 (((x * y) * z) * u) / ((y * z) * u) = R(R(x,y,z),y * z,u). [para(110(a,1),33(a,2,1,1)),flip(a)]. 379 ((x * R(y,z,u)) * (z * u)) / ((y * z) * u) = R(x,R(y,z,u),z * u). [para(110(a,1),33(a,2,2)),flip(a)]. 380 T(R(x,y,z),u) * (y * z) = (T(x,u) * y) * z. [para(45(a,1),110(a,1,1))]. 381 L(R(x,y,z),u,w) * (y * z) = (L(x,u,w) * y) * z. [para(47(a,1),110(a,1,1))]. 382 R(R(x,y,z),u,w) * (y * z) = (R(x,u,w) * y) * z. [para(49(a,1),110(a,1,1))]. 383 R(x,y,T(z,y)) * (z * y) = (x * y) * T(z,y). [para(113(a,1),110(a,1,2))]. 384 R(x,y * z,K(z,y)) * (z * y) = (x * (y * z)) * K(z,y). [para(95(a,1),110(a,1,2))]. 385 ((x * y) * z) / (y * z) != u | R(x,y,z) = u. [para(110(a,1),248(a,1,1)),flip(b)]. 386 (R(x,y,z) * (y * z)) / z != u | x * y = u. [para(110(a,2),248(a,1,1)),flip(b)]. 387 (x * y) * (y \ 1) != z | R(x,y,y \ 1) = z. [para(110(a,1),137(a,1))]. 389 ((x * y) * z) * L(u,y * z,R(x,y,z)) = R(x,y,z) * ((y * z) * u). [para(110(a,1),102(a,1,1))]. 390 R(x / y,y,x \ z) = z / (y * (x \ z)). [para(17(a,1),111(a,2,1))]. 391 R(x / (y / z),y / z,z) = (x * z) / y. [para(19(a,1),111(a,2,2))]. 392 T((x * y) / (z * y),u) = R(T(x / z,u),z,y). [para(111(a,1),45(a,2,1)),flip(a)]. 393 T(R(x / y,y,z),y * z) = (y * z) \ (x * z). [para(111(a,2),115(a,1,1))]. 394 R(x / T(y,z),T(y,z),y) = (x * y) / (y * T(y,z)). [para(173(a,1),111(a,2,2))]. 395 R(x / y,y,x \ z) \ z = y * (x \ z). [para(111(a,2),184(a,1,1))]. 396 R(R(x,y,z) / u,u,y * z) = ((x * y) * z) / (u * (y * z)). [para(110(a,1),111(a,2,1))]. 397 R(x / R(y,z,u),R(y,z,u),z * u) = (x * (z * u)) / ((y * z) * u). [para(110(a,1),111(a,2,2))]. 398 (x * y) / L(z,y / z,x) = x * (y / z). [para(19(a,1),128(a,1,1,2))]. 399 R(x * y,K(y,x),z) \ ((y * x) * z) = K(y,x) * z. [para(95(a,1),133(a,1,2,1))]. 400 R(x * y,L(z,y,x),u) \ ((x * (y * z)) * u) = L(z,y,x) * u. [para(102(a,1),133(a,1,2,1))]. 401 x / K(x \ 1,x) = R(x,x \ 1,x). [para(165(a,2),139(a,2,2)),flip(a)]. 402 x \ L(L(y,x \ 1,x),z,u) = (x \ 1) * L(y,z,u). [hyper(75,a,48,a,b,166,a)]. 403 (1 / x) \ L(L(y,x,1 / x),z,u) = x * L(y,z,u). [hyper(75,a,48,a,b,169,a)]. 404 x * ((x \ y) * z) != y * u | L(z,x \ y,x) = u. [para(102(a,1),212(a,1))]. 406 (x * y) / y != z * u | z \ x = u. [para(16(a,1),244(a,1,2))]. 410 (R(x,y,z) * (y * z)) / z != u * w | (x * y) / w = u. [para(110(a,2),251(a,1,1))]. 411 (x * (x \ y)) * z != u | y * z = u. [para(67(a,1),252(a,1,1,1))]. 413 x \ (y * (y \ x)) != z * u | z \ 1 = u. [para(198(a,2),253(a,1,2))]. 415 T(x \ (x / y),z) = L(T(y \ 1,z),y,x / y). [para(279(a,1),43(a,2,1)),flip(a)]. 416 K(x,1 / x) \ x = L(x,1 / x,x). [para(168(a,2),284(a,2,1)),flip(a)]. 417 T((x \ y) / y,z) = R(T(1 / x,z),x,x \ y). [para(286(a,1),45(a,2,1)),flip(a)]. 418 (((x / y) / z) * z) * y != u * w | x / w = u. [para(19(a,2),297(a,1,1))]. 420 ((x / y) * y) * z != u * w | (x * z) / w = u. [para(195(a,1),297(a,1,1))]. 423 ((1 / x) * x) * y != z * u | y / u = z. [para(122(a,1),298(a,1,2))]. 424 x * (y * (y \ z)) != u * w | (x * z) / w = u. [para(197(a,1),298(a,1,2))]. 425 x \ (x * y) != z * u | y / u = z. [para(197(a,2),298(a,1))]. 426 x * y != z * u | z \ (x * y) = u. [para(18(a,1),300(a,1,1))]. 428 x * T(y,x) != z * u | z \ (y * x) = u. [para(129(a,1),300(a,1,1))]. 429 (x * y) * K(y,x) != z * u | z \ (y * x) = u. [para(127(a,1),300(a,1,1))]. 430 ((x / y) * y) * z != u * w | u \ (x * z) = w. [para(195(a,1),300(a,1,1))]. 431 x * (y * (y \ (x \ z))) != u * w | u \ z = w. [para(17(a,2),301(a,1,2))]. 432 x * (y * (y \ z)) != u * w | u \ (x * z) = w. [para(197(a,1),301(a,1,2))]. 435 T(x \ y,T(x,x \ y)) != z | ((x \ y) \ y) \ y = z. [para(114(a,2),315(a,1,2))]. 437 (x * y) \ (x * z) != u | L(y \ z,y,x) = u. [para(341(a,1),236(a,1,1)),flip(b)]. 440 L(T(x \ y,z),x,1 / x) = T((1 / x) * y,z). [para(361(a,1),43(a,2,1))]. 441 L(R(x \ y,z,u),x,1 / x) = R((1 / x) * y,z,u). [para(361(a,1),47(a,1,1)),flip(a)]. 442 L(L(x \ y,z,u),x,1 / x) = L((1 / x) * y,z,u). [para(361(a,1),48(a,1,1)),flip(a)]. 443 L(T((x \ 1) \ y,z),x \ 1,x) = T(x * y,z). [para(362(a,1),43(a,2,1))]. 444 L(R((x \ 1) \ y,z,u),x \ 1,x) = R(x * y,z,u). [para(362(a,1),47(a,1,1)),flip(a)]. 445 R(x / y,y,y \ 1) = x * (y \ 1). [hyper(252,a,369,a),flip(a)]. 446 R(1 / x,x,x \ 1) = x \ 1. [hyper(136,a,369,a)]. 447 (x \ 1) \ R(y,x,x \ 1) = T(y * x,x \ 1). [hyper(75,a,369,a(flip),b,113,a)]. 448 (x * (y \ 1)) * T(y,y \ 1) = R(x,y \ 1,(y \ 1) \ 1). [para(114(a,2),369(a,1,2))]. 450 R(x / y,y,T(z,x)) \ (z * x) = y * T(z,x). [para(113(a,1),371(a,1,2))]. 451 (x * y) / (z * y) != u | R(x / z,z,y) = u. [para(371(a,1),246(a,1,2)),flip(b)]. 452 R(R(1 / x,x,y),x * y,z) \ (y * z) = (x * y) * z. [para(141(a,2),371(a,1,1,1))]. 453 R(x,y,y \ 1) / (y \ 1) != z * y | z = x. [para(373(a,2),23(a,2)),flip(a)]. 455 ((x / y) \ x) * z != u | y * z = u. [para(193(a,2),411(a,1,1))]. 456 (x / (y \ x)) * z != u | y * z = u. [para(194(a,2),411(a,1,1))]. 457 K(x,1 / x) * L(x,1 / x,x) = x. [para(416(a,1),17(a,1,2))]. 460 R(x,y,z) \ ((x * y) * z) != u * w | (y * z) / w = u. [para(110(a,1),425(a,1,2))]. 462 R(T(x / y,z),y,y \ 1) = T(x * (y \ 1),z). [para(445(a,1),45(a,2,1))]. 463 R(L(x / y,z,u),y,y \ 1) = L(x * (y \ 1),z,u). [para(445(a,1),47(a,2,1))]. 464 R(R(x / y,z,u),y,y \ 1) = R(x * (y \ 1),z,u). [para(445(a,1),49(a,1,1)),flip(a)]. 465 ((x \ y) \ y) * z != u | T(x,x \ y) * z = u. [para(174(a,1),455(a,1,1,1))]. 466 K(x,1 / x) * y != x | L(x,1 / x,x) = y. [para(457(a,1),22(a,1)),flip(a)]. 467 (x * (y * x)) * (1 / x) = x * y. [para(15(a,1),117(a,2,2))]. 468 x * ((x \ y) * x) = y / (1 / x). [hyper(76,a,17,a(flip),b,467,a),flip(a)]. 469 (x * y) * (1 / x) = x * (y / x). [para(19(a,1),467(a,1,1,2))]. 470 x \ (y / (1 / x)) = (x \ y) * x. [hyper(80,a,468,a)]. 471 (x \ (y * (1 / x))) * x = x \ y. [hyper(75,a,18,a(flip),b,468,a),flip(a)]. 472 L(x,x \ 1,x) = 1 / (1 / x). [hyper(189,a,166,a(flip),b,468,a(flip)),flip(a)]. 473 (x / (1 / y)) * ((1 / y) * z) = y * ((y \ x) * z). [para(468(a,1),50(a,1,1))]. 474 x * K(x \ 1,x) = 1 / (1 / x). [para(165(a,2),468(a,1,2))]. 475 L(R(x,y,z),x \ 1,x) = R(1 / (1 / x),y,z). [para(472(a,1),47(a,1,1)),flip(a)]. 476 (x \ 1) * (y / (x \ 1)) = ((x \ 1) * y) * x. [para(67(a,1),469(a,1,2)),flip(a)]. 477 x \ (1 / (1 / x)) = K(x \ 1,x). [hyper(189,a,165,a,b,470,a)]. 478 ((x \ 1) \ y) * (x \ 1) = (x \ 1) \ (y / x). [para(67(a,1),470(a,1,2,2)),flip(a)]. 482 (x \ 1) * ((x * y) * x) = y * x. [para(14(a,1),119(a,2,1))]. 483 ((1 / x) * y) * (1 / x) = x \ (y * (1 / x)). [hyper(225,a,482,a),flip(a)]. 484 (x \ 1) * ((x * 1) * x) = x. [hyper(189,a,14,a(flip),b,482,a)]. 485 (x * (y / x)) * x = (x \ 1) \ y. [hyper(75,a,19,a(flip),b,482,a),flip(a)]. 486 (x \ 1) * (y * x) = (x \ y) * x. [para(17(a,1),482(a,1,2,1))]. 487 (x \ 1) * y != z * x | (x * z) * x = y. [para(482(a,1),22(a,1)),flip(a)]. 488 (x \ 1) * (x * x) = x. [para(15(a,1),484(a,1,2,1))]. 489 (x \ 1) \ x = x * x. [hyper(80,a,488,a)]. 491 (x * (y \ 1)) * ((y \ 1) \ z) = (x * (z / y)) * y. [para(485(a,1),51(a,1,2))]. 492 K(x,1 / x) * x = (x \ 1) \ 1. [para(168(a,2),485(a,1,1))]. 493 x \ (y / (1 / x)) = (x \ 1) * (y * x). [hyper(189,a,470,a,b,486,a),flip(a)]. 494 ((x \ 1) \ 1) / x = K(x,1 / x). [hyper(88,a,492,a)]. 495 ((x \ 1) \ 1) / x != y | K(x,1 / x) = y. [para(492(a,1),248(a,1,1)),flip(b)]. 496 K(1 / x,1 / (1 / x)) = (x \ 1) / (1 / x). [para(69(a,1),494(a,1,1,1)),flip(a)]. 497 T(x / y,(z / y) \ z) = y \ x. [hyper(147,a,226,a,b,224,a)]. 498 x * (y * T(z,x * y)) = L(z,y,x) * (x * y). [hyper(189,a,102,a(flip),b,159,a(flip)),flip(a)]. 499 (x * (L(y,z,u) * w)) \ ((x * w) * L(T(y,w),z,u)) = a(x,w,L(T(y,w),z,u)). [para(159(a,1),27(a,2,1,2)),flip(a)]. 500 x * L(x \ (y * x),z,u) = L(y,z,u) * x. [para(35(a,1),159(a,1,2,1))]. 501 x * L(R(T(y,x),z,u),w,v5) = L(R(y,z,u),w,v5) * x. [para(45(a,2),159(a,1,2,1))]. 502 L(x / y,z,u) * y = y * L(y \ x,z,u). [para(115(a,1),159(a,1,2,1)),flip(a)]. 503 L((x * y) / x,z,u) * x = x * L(y,z,u). [para(142(a,1),159(a,1,2,1)),flip(a)]. 504 L(L(x,y,z),u,w) * x = x * L(L(x,y,z),u,w). [para(125(a,1),159(a,1,2,1)),flip(a)]. 505 (x * y) * R(T(z,x * y),x,y) = (z * x) * y. [hyper(189,a,110,a(flip),b,160,a)]. 506 ((x * y) * z) / R(T(x,y * z),y,z) = y * z. [hyper(76,a,110,a(flip),b,160,a)]. 507 (x * y) \ ((z * x) * y) = R(T(z,x * y),x,y). [hyper(75,a,110,a(flip),b,160,a)]. 509 x * R(T(T(y,x),z),u,w) = R(T(y,z),u,w) * x. [para(41(a,1),160(a,1,2,1))]. 510 R(x / y,z,u) * y = y * R(y \ x,z,u). [para(115(a,1),160(a,1,2,1)),flip(a)]. 511 R(T(x,y),z,u) * x = x * R(T(x,y),z,u). [para(124(a,1),160(a,1,2,1)),flip(a)]. 512 R((x * y) / x,z,u) * x = x * R(y,z,u). [para(142(a,1),160(a,1,2,1)),flip(a)]. 513 (x \ y) * R((x \ y) \ y,z,u) = R(x,z,u) * (x \ y). [para(114(a,1),160(a,1,2,1))]. 514 R(x / (x / y),z,u) * (x / y) = (x / y) * R(y,z,u). [para(164(a,1),160(a,1,2,1)),flip(a)]. 515 (x * L(x \ y,z,u)) / x = L(y / x,z,u). [para(162(a,1),143(a,1,1,2))]. 516 (x * R(x \ y,z,u)) / x = R(y / x,z,u). [para(163(a,1),143(a,1,1,2))]. 517 T(x / (y * x),y) = R(y \ 1,y,x). [para(141(a,1),163(a,1,1))]. 518 T((x * y) / (z * y),z) = R(z \ x,z,y). [para(111(a,1),163(a,1,1))]. 519 R(x \ (y / z),x,z) = T(y / (x * z),x). [para(187(a,1),163(a,1,1)),flip(a)]. 520 R(x \ 1,x,x \ 1) = T(x \ 1,x). [para(446(a,1),163(a,1,1)),flip(a)]. 521 R(x \ y,x,x \ 1) = T(y * (x \ 1),x). [para(445(a,1),163(a,1,1)),flip(a)]. 522 (x / (y * x)) * y = y * R(y \ 1,y,x). [para(517(a,1),113(a,1,2)),flip(a)]. 523 T(x,x \ y) \ z = ((x \ y) \ y) \ z. [hyper(301,a,219,a),flip(a)]. 524 ((x \ y) \ y) * T(z,T(x,x \ y)) = z * T(x,x \ y). [hyper(205,a,219,a),flip(a)]. 525 T(T(x,x \ y),z) = T((x \ y) \ y,z). [hyper(147,a,219,a,b,113,a)]. 526 T(x,x \ y) \ (((x \ y) \ y) * z) = z. [hyper(81,a,219,a)]. 527 (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) = K(z,(x \ y) \ y). [para(219(a,2),29(a,2,1)),flip(a)]. 528 (T(x,x \ y) * z) \ (((x \ y) \ y) * (z * u)) = L(u,z,(x \ y) \ y). [para(219(a,2),31(a,2,1)),flip(a)]. 530 (x / ((y \ z) \ z)) * T(y,y \ z) = x. [hyper(189,a,19,a(flip),b,220,a)]. 531 (x * T(y,y \ z)) / ((y \ z) \ z) = x. [hyper(76,a,220,a,b,xx)]. 534 (x \ y) * T(T((x \ y) \ y,z),u) = T(T(x,z),u) * (x \ y). [para(221(a,1),158(a,1,2,1))]. 535 ((x \ y) \ y) \ z != u | T(x,x \ y) \ z = u. [para(256(a,1),237(a,1,2)),flip(b)]. 536 x \ ((x / T(y,y \ z)) * (((y \ z) \ z) * u)) = L(u,(y \ z) \ z,x / T(y,y \ z)). [para(258(a,1),31(a,2,1)),flip(a)]. 537 x \ (x / y) != z | L(y \ 1,y,x / y) = z. [para(19(a,1),310(a,1,1))]. 538 T(x,y) / (x * y) != z | R(1 / y,y,T(x,y)) = z. [para(113(a,1),314(a,1,2))]. 539 (1 / x) / K(x,1 / x) != y | R(1 / x,x,1 / x) = y. [para(168(a,2),314(a,1,2))]. 540 ((x \ y) \ y) / T(z,z \ T(x,x \ y)) = z \ ((x \ y) \ y). [para(318(a,2),174(a,1,2,2))]. 541 x * T(x \ (y * x),z) != u * w | u \ (T(y,z) * x) = w. [para(322(a,2),426(a,1))]. 543 ((((x * y) / x) \ z) \ z) * x = x * T(y,((x * y) / x) \ z). [hyper(189,a,219,a(flip),b,325,a(flip)),flip(a)]. 544 T(x / y,z) * y != u | y * T(y \ x,z) = u. [para(328(a,1),200(a,1,1)),flip(b)]. 546 T((x * (y / z)) / x,z) = (x * (z \ y)) / x. [para(115(a,1),330(a,1,1,2)),flip(a)]. 547 T((x * y) / x,z) * x != u | x * T(y,z) = u. [para(330(a,1),200(a,1,1)),flip(b)]. 548 T(T((x * y) / x,z),x) != u | T(y,z) = u. [para(330(a,1),242(a,1,1)),flip(b)]. 550 x \ (((y / (1 / x)) * z) / z) = (x \ 1) * (y * x). [para(18(a,2),493(a,1,2))]. 551 T(x,x \ y) * z != u | ((x \ y) \ y) * z = u. [para(526(a,1),203(a,1,2)),flip(b)]. 553 (x * (y * z)) \ ((x * y) * z) != u | a(x,y,z) = u. [para(92(a,1),237(a,1,2)),flip(b)]. 554 L(T(x,y),y,x) = T(x,x * y). [hyper(238,a,154,a),flip(a)]. 555 (R(x,y,z) * z) \ ((x * y) * z) = L(T(y,z),z,R(x,y,z)). [para(110(a,1),154(a,1,2))]. 556 L(T(x,y \ z),y \ z,y) != u | z \ (y * (x * (y \ z))) = u. [para(154(a,1),247(a,1))]. 557 T(L(x,y,x),y) = T(x,x * y). [hyper(189,a,43,a(flip),b,554,a(flip)),flip(a)]. 558 L(R(T(x,y),z,u),y,x) = R(T(x,x * y),z,u). [para(554(a,1),47(a,1,1)),flip(a)]. 559 x * T(y,y * x) = L(y,x,y) * x. [para(554(a,1),159(a,1,2))]. 560 (x * y) * R(L(T(x,y),y,x),z,u) = R(x,z,u) * (x * y). [para(554(a,2),160(a,1,2,1))]. 561 (x * T(y,y * x)) / x = L(y,x,y). [para(557(a,1),143(a,1,1,2))]. 562 x * L(T(y,y * x),z,u) = L(L(y,x,y),z,u) * x. [para(557(a,1),159(a,1,2,1))]. 563 T((x * y) / x,y * x) = L(y,x,y). [hyper(21,a,325,a,b,559,a(flip)),flip(a)]. 564 L(x,T(y,x),x) * T(y,x) = T(y,x) * T(x,y * x). [para(113(a,1),559(a,1,2,2)),flip(a)]. 565 T(((x \ y) * x) / (x \ y),y) = L(x,x \ y,x). [para(17(a,1),563(a,1,2))]. 566 T(T((x * y) / x,z),y * x) = T(L(y,x,y),z). [para(563(a,1),41(a,1,1)),flip(a)]. 567 (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(218(a,1),323(a,1,1,1)),flip(a)]. 568 x * R(T(y,x),z,z \ x) = (y * z) * (z \ x). [hyper(189,a,160,a,b,255,a(flip)),flip(a)]. 569 (x * y) * T((x * y) \ x,z) = x * (y * T(y \ 1,z)). [para(280(a,2),102(a,1,2))]. 570 (x / (y * x)) * (R(1 / y,y,x) \ z) = z. [hyper(203,a,285,a)]. 571 x * T(x \ (y * x),z) != u | T(y,z) * x = u. [para(35(a,1),302(a,1,2,1))]. 572 x * T(T(T(y,x),z),u) != w | T(T(y,z),u) * x = w. [para(41(a,1),302(a,1,2,1))]. 573 L(x \ 1,x,y) \ z = ((y * x) \ y) \ z. [hyper(80,a,312,a)]. 574 K(L(x \ 1,x,y) \ 1,L(x \ 1,x,y)) = ((y * x) \ y) \ (1 / (1 / L(x \ 1,x,y))). [hyper(20,a,474,a,b,312,a),flip(a)]. 575 x \ (y * T(y \ x,y)) != z | K(y \ x,y) = z. [para(113(a,2),336(a,1,2))]. 576 x * L(L(y,z \ x,z),u,w) = z * ((z \ x) * L(y,u,w)). [para(48(a,1),344(a,1,2))]. 577 x \ (y * ((y \ x) * z)) != u | L(z,y \ x,y) = u. [para(344(a,1),237(a,1,2)),flip(b)]. 579 L(x \ y,x,y / x) = T(y / x,y). [hyper(147,a,89,a(flip),b,345,a),flip(a)]. 580 x * L(L(y,z,x / z),u,w) = (x / z) * (z * L(y,u,w)). [para(48(a,1),345(a,1,2))]. 581 a(x,y,z) = L(((x * y) \ (x * (y * z))) \ z,(x * y) \ (x * (y * z)),x * y). [hyper(189,a,27,a,b,359,a),flip(a)]. 582 L(T((x \ y) \ z,u),x \ y,x) = T(y \ (x * z),u). [para(359(a,1),43(a,2,1))]. 583 L(R((x \ y) \ z,u,w),x \ y,x) = R(y \ (x * z),u,w). [para(359(a,1),47(a,1,1)),flip(a)]. 584 K(x,y) = L(x \ T(x,y),x,y). [hyper(189,a,29,a,b,366,a),flip(a)]. 585 L(T(x \ T(y,z),u),x,z) = T((z * x) \ (y * z),u). [para(366(a,1),43(a,2,1))]. 587 R(x,x \ (y / z),z) \ y = (x \ (y / z)) * z. [para(19(a,1),370(a,1,2))]. 588 (x * y) / ((z \ x) * y) != u | R(z,z \ x,y) = u. [para(370(a,1),246(a,1,2)),flip(b)]. 589 (x * (1 / y)) * y = R(x,1 / y,y). [hyper(86,a,375,a),flip(a)]. 590 (x * (y / z)) * z != u * y | R(x,y / z,z) = u. [para(375(a,1),23(a,1))]. 591 (x * (1 / y)) * y != z | R(x,1 / y,y) = z. [para(375(a,1),85(a,1)),flip(b)]. 592 R(T(x / (y / z),u),y / z,z) * y = ((y / z) * T((y / z) \ x,u)) * z. [para(323(a,1),375(a,2,1))]. 593 R(x / (1 / y),1 / y,y) = x * y. [hyper(252,a,589,a),flip(a)]. 594 R(R(x,1 / y,y),z,u) / y = R(x,z,u) * (1 / y). [hyper(76,a,49,a,b,589,a)]. 595 L(R(x,1 / y,y),z,u) / y = L(x,z,u) * (1 / y). [hyper(76,a,47,a(flip),b,589,a)]. 596 R(T(x / (1 / y),z),1 / y,y) = T(x * y,z). [para(593(a,1),45(a,2,1))]. 597 R(T(x / (y / z),u),y / z,z) = T((x * z) / y,u). [para(391(a,1),45(a,2,1))]. 598 R((x / y) \ z,x / y,y) = T((z * y) / x,x / y). [para(391(a,1),163(a,1,1)),flip(a)]. 599 T(x * (y / z),L(z,y / z,x)) = L(z,y / z,x) \ (x * y). [para(398(a,1),115(a,1,1))]. 602 T(x,x \ 1) / x != y | K(x,1 / x) = y. [para(114(a,2),495(a,1,1))]. 603 R(x,y,z) = T(((y * x) * z) / (y * z),y). [para(16(a,1),518(a,2,1)),flip(a)]. 604 T((x * (y \ z)) / z,y) = R(y \ x,y,y \ z). [para(17(a,1),518(a,1,1,2))]. 605 ((x \ (y / (x \ z))) * x) * (x \ z) = T(y / (x * (x \ z)),x) * z. [para(519(a,1),255(a,1,1)),flip(a)]. 606 ((x \ y) * x) * (x \ 1) = T(y * (x \ 1),x). [hyper(189,a,369,a,b,521,a(flip)),flip(a)]. 607 (x * R(x \ 1,x,y)) \ (x * (y / (x * y))) != z | K(x,y / (x * y)) = z. [para(522(a,1),240(a,1,1))]. 608 T((((x * y) / x) \ z) \ z,x) != u | T(y,((x * y) / x) \ z) = u. [para(114(a,1),548(a,1,1))]. 609 ((x \ y) / y) * (R(1 / x,x,x \ y) \ z) = z. [para(17(a,1),570(a,1,1,2))]. 610 R(1 / x,x,y) != z | y / (x * y) = z. [para(570(a,1),138(a,1))]. 611 L(x \ 1,x,y) \ (z * ((y * x) \ y)) = T(z,(y * x) \ y). [hyper(189,a,35,a,b,573,a)]. 612 (((x * y) * z) / (x * z)) * x = x * R(y,x,z). [para(603(a,2),113(a,1,2)),flip(a)]. 613 T(R(x,y,x),y * x) = T(x,y). [para(603(a,2),176(a,1,1))]. 614 R(x,y,x) * (y * x) = (y * x) * T(x,y). [para(603(a,2),325(a,1,1))]. 615 R(T(x,y * x),y,x) = T(x,y). [hyper(189,a,45,a,b,613,a(flip)),flip(a)]. 617 R(R(x,y,x),z,u) * (y * x) = (y * x) * R(T(x,y),z,u). [para(613(a,1),160(a,1,2,1)),flip(a)]. 618 R(T(x,y),y / x,x) = T(x,y / x). [para(19(a,1),615(a,1,1,2))]. 619 (T(x,y * x) * y) * x = T(x,y) * (y * x). [para(615(a,1),110(a,1,1)),flip(a)]. 620 R(x,1 / x,x) = T(x,1 / x). [para(188(a,1),618(a,1,1))]. 621 (x * y) * T(y,x) = (y * x) * y. [hyper(189,a,110,a(flip),b,614,a(flip))]. 622 (x * (y / x)) * x = y * T(x,y / x). [hyper(252,a,621,a),flip(a)]. 623 (T(x,y) * (y * x)) \ ((x * y) * x) = K(y * x,T(x,y)). [hyper(75,a,621,a(flip),b,95,a)]. 625 T(x,1 / x) = (x \ 1) \ 1. [hyper(74,a,485,a(flip),b,622,a(flip))]. 626 T(x,1 / x) = T(x,x \ 1). [hyper(189,a,114,a,b,625,a)]. 627 T(x \ 1,x) = ((x \ 1) \ 1) \ 1. [para(67(a,1),625(a,1,2))]. 628 ((1 / x) * ((x \ 1) \ 1)) / (1 / x) != y | y = x. [para(625(a,1),250(a,1,1,2))]. 629 R(x,1 / x,x) = T(x,x \ 1). [hyper(189,a,620,a,b,626,a(flip)),flip(a)]. 630 (x * T(y,y \ 1)) / x = T((x * y) / x,1 / y). [para(626(a,1),330(a,1,1,2))]. 631 R(R(x,y,z),1 / x,x) = R(T(x,x \ 1),y,z). [para(629(a,1),49(a,1,1)),flip(a)]. 632 T(x,x \ 1) \ 1 = T(x \ 1,x). [hyper(189,a,523,a,b,627,a),flip(a)]. 633 1 / T(x \ 1,x) = (x \ 1) \ 1. [para(627(a,2),67(a,1,2))]. 634 x / L(T(y \ 1,y),T(y,y \ 1),x) = x * T(y,y \ 1). [para(632(a,1),283(a,1,2,1))]. 635 R(T(T(x,y),z),u,w) = T(T(R(x,u,w),z),y). [hyper(189,a,45,a,b,116,a),flip(a)]. 636 ((x \ 1) * y) * ((1 / (x \ 1)) * x) = (x \ (y / (x \ 1))) * x. [hyper(189,a,486,a(flip),b,118,a)]. 637 (x / (y \ 1)) * (y \ z) = (x * (z * y)) / y. [hyper(76,a,90,a(flip),b,120,a(flip)),flip(a)]. 639 R(R(x,y,z),u,w) * (y * z) != v5 | (R(x,u,w) * y) * z = v5. [para(49(a,1),204(a,1,1))]. 641 (x * y) * T(L(z,y,x),u) != w | x * (y * T(z,u)) = w. [para(43(a,1),207(a,1,2))]. 642 (x * y) * R(L(z,y,x),u,w) != v5 | x * (y * R(z,u,w)) = v5. [para(47(a,2),207(a,1,2))]. 643 (x * y) * (K(y,x) * z) != (y * x) * u | L(z,K(y,x),x * y) = u. [para(95(a,1),346(a,1,1)),flip(a)]. 644 (x * y) \ (y * (T(x,y) * z)) != u | L(z,T(x,y),y) = u. [para(113(a,1),355(a,1,1))]. 645 (x * y) \ (x * (z * y)) != u | L(T(z,y),y,x) = u. [para(113(a,1),355(a,1,2,2))]. 646 (x * (y * z)) \ (x * (y * (z * u))) != w | L(L(u,z,y),y * z,x) = w. [para(102(a,1),355(a,1,2,2))]. 647 (x * y) \ (x * (1 / (1 / y))) != z | L(K(y \ 1,y),y,x) = z. [para(474(a,1),355(a,1,2,2))]. 649 ((1 / (1 / x)) * y) / (K(x \ 1,x) * y) != z | R(x,K(x \ 1,x),y) = z. [para(474(a,1),385(a,1,1,1))]. 650 ((x * y) * R(T(z,y),u,w)) / (R(z,u,w) * y) != v5 | R(x,y,R(T(z,y),u,w)) = v5. [para(160(a,1),385(a,1,2))]. 651 (x * ((x \ 1) * y)) * x = y / (x \ 1). [hyper(487,a,476,a)]. 652 (x \ 1) * y != ((x \ 1) * z) * x | z / (x \ 1) = y. [para(476(a,1),22(a,1)),flip(a)]. 653 ((x \ 1) \ y) / (x \ 1) = (x * y) * x. [para(17(a,1),651(a,1,1,2)),flip(a)]. 655 ((x * y) * x) * (x \ 1) = (x \ 1) \ y. [para(653(a,1),19(a,1,1))]. 656 (x \ 1) \ (x \ y) = (y * x) * (x \ 1). [para(17(a,1),655(a,1,1,1)),flip(a)]. 658 (x \ y) / ((y * x) * (x \ 1)) = x \ 1. [para(656(a,1),67(a,1,2))]. 659 (x \ (y / x)) / (y * (x \ 1)) = x \ 1. [para(19(a,1),658(a,1,2,1))]. 660 (x \ 1) \ (x \ y) != z | (y * x) * (x \ 1) = z. [para(658(a,1),236(a,1,1)),flip(b)]. 661 x \ (y / x) != (x \ 1) * z | y * (x \ 1) = z. [para(659(a,1),82(a,1,1)),flip(a),flip(b)]. 662 L((x * y) / x,z,u) = (x * L(y,z,u)) / x. [hyper(88,a,503,a),flip(a)]. 663 L(((x * y) * z) / (x * y),y,x) = (x * (y * z)) / (x * y). [hyper(76,a,102,a(flip),b,503,a),flip(a)]. 664 R(R(x / y,y,z),u,w) * (y * z) = (y * z) * R((y * z) \ (x * z),u,w). [para(111(a,2),510(a,1,1,1))]. 665 (x * R(x \ y,z,u)) * (x \ 1) = R(R(y / x,z,u),x,x \ 1). [para(510(a,1),369(a,1,1))]. 666 (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(218(a,1),510(a,1,1,1)),flip(a)]. 667 T(x,R(T(x,y),z,u)) = x. [hyper(148,a,511,a)]. 668 T(x,R(x,y,z)) = x. [para(112(a,1),667(a,1,2,1))]. 669 ((((x * y) * z) / (x * y)) * x) * y = (x * y) * R(z,x,y). [hyper(204,a,512,a)]. 670 R((x * y) / x,z,u) = (x * R(y,z,u)) / x. [hyper(88,a,512,a),flip(a)]. 671 R((x * y) / x,z,u) \ (x * R(y,z,u)) = x. [hyper(80,a,512,a)]. 672 (x * R(y,z,z \ x)) / (z \ x) = ((x * y) / x) * z. [hyper(76,a,512,a(flip),b,255,a(flip))]. 673 L(x / y,z,u) * y != w | y * L(y \ x,z,u) = w. [para(515(a,1),200(a,1,1)),flip(b)]. 674 T(L(x / y,z,u),y) != w | L(y \ x,z,u) = w. [para(515(a,1),242(a,1,1)),flip(b)]. 675 L((x \ y) / z,z,x) = (z * ((x * z) \ y)) / z. [para(183(a,1),515(a,1,1,2)),flip(a)]. 676 L(T(x,y) / x,x,y) = (x * K(x,y)) / x. [para(584(a,2),515(a,1,1,2)),flip(a)]. 677 ((x * y) * R(L(z,y,x),u,w)) / (x * y) = R((x * (y * z)) / (x * y),u,w). [para(31(a,2),516(a,1,1,2,1))]. 678 ((x / y) * R(y,z,u)) / (x / y) = R(x / (x / y),z,u). [para(69(a,1),516(a,1,1,2,1))]. 679 R(x / y,z,u) * y != w | y * R(y \ x,z,u) = w. [para(516(a,1),200(a,1,1)),flip(b)]. 680 ((x * (y / z)) / x) * z = z * ((x * (z \ y)) / x). [para(546(a,1),113(a,1,2)),flip(a)]. 681 (x * ((y * (x \ z)) / y)) / x = (y * (z / x)) / y. [para(546(a,1),143(a,1,1,2))]. 682 ((x * (y / z)) / x) \ (z * ((x * (z \ y)) / x)) = z. [para(546(a,1),144(a,1,2,2))]. 683 x * ((y * (x \ z)) / y) != u | ((y * (z / x)) / y) * x = u. [para(546(a,1),205(a,1,2))]. 684 (x * K(y \ x,y)) * (y \ 1) = T(x * (y \ 1),y). [para(213(a,2),606(a,1,1))]. 686 T(T(R(x / y,z,u),w),y) = R(T(y \ x,w),z,u). [para(115(a,1),635(a,1,1,1)),flip(a)]. 687 (x * (y * y)) / y = x / (y \ 1). [hyper(138,a,637,a),flip(a)]. 688 (x / (y \ 1)) * y = x * (y * y). [para(687(a,1),19(a,1,1))]. 690 L((x * y) / x,z,u) * x != w | x * L(y,z,u) = w. [para(662(a,2),200(a,1,1)),flip(b)]. 691 L((x * (y \ (z \ u))) / x,y,z) = (x * ((z * y) \ u)) / x. [para(183(a,1),662(a,2,1,2))]. 692 L((x * (y \ 1)) / x,y,z / y) = (x * (z \ (z / y))) / x. [para(279(a,1),662(a,2,1,2))]. 693 L((x * (y \ z)) / x,y,1 / y) = (x * ((1 / y) * z)) / x. [para(361(a,1),662(a,2,1,2))]. 694 L((x * ((y \ z) \ u)) / x,y \ z,y) = (x * (z \ (y * u))) / x. [para(359(a,1),662(a,2,1,2))]. 695 R((x * (1 / y)) / x,y,z) = (x * (z / (y * z))) / x. [para(141(a,1),670(a,2,1,2))]. 696 R((x * ((y / z) / u)) / x,u,z) = (x * (y / (u * z))) / x. [para(187(a,1),670(a,2,1,2))]. 698 R((x * (y / z)) / x,z,z \ 1) = (x * (y * (z \ 1))) / x. [para(445(a,1),670(a,2,1,2))]. 699 ((x * R(y,z,u)) / x) * (z * u) != w | (((x * y) / x) * z) * u = w. [para(670(a,1),204(a,1,1))]. 700 x \ ((x * (1 / y)) * y) = a(x,1 / y,y). [para(15(a,1),94(a,1,1))]. 701 (x * y) \ (y * T(x,y / x)) = a(x,y / x,x). [para(622(a,1),94(a,1,2))]. 702 x \ R(x,1 / y,y) = a(x,1 / y,y). [para(589(a,1),700(a,1,2))]. 703 T(((x * y) * x) / (x * y),y) = R(x,y,T(x,y)). [hyper(189,a,330,a(flip),b,156,a(flip)),flip(a)]. 704 a(1 / (x * y),x,y) \ R((1 / (x * y)) * x,y,y \ 1) = y \ 1. [para(167(a,1),374(a,1,1))]. 705 (x * y) * R((x * y) \ x,z,u) = x * (y * R(y \ 1,z,u)). [para(281(a,2),102(a,1,2))]. 706 R((x * y) \ x,y,y \ 1) = L(T(y \ 1,y),y,x). [para(520(a,1),281(a,2,1))]. 707 L(L(x \ 1,y * x,z),x,y) = (z * (y * x)) \ (z * y). [hyper(189,a,104,a(flip),b,282,a)]. 708 L((x * y) \ x,y,1 / y) = L(1 / y,y,x). [para(277(a,1),282(a,1,1)),flip(a)]. 709 (x * y) * L((x * y) \ x,z,u) = x * (y * L(y \ 1,z,u)). [para(282(a,1),102(a,1,2))]. 710 (1 / x) * (x * ((y * x) \ y)) = L(1 / x,x,y). [hyper(306,a,708,a)]. 712 (x * y) * T((x * y) \ (x * z),u) = x * (y * T(y \ z,u)). [para(104(a,1),350(a,1,2,1))]. 713 (x * y) * T((x * y) \ z,u) = x * (y * T(y \ (x \ z),u)). [para(183(a,1),350(a,1,2,1))]. 714 (x * y) * T((y * T(x,y)) \ y,z) = y * (T(x,y) * T(T(x,y) \ 1,z)). [para(280(a,2),353(a,1,2))]. 715 L(T(T(x,y) \ z,u),T(x,y),y) = T((x * y) \ (y * z),u). [para(365(a,1),43(a,2,1))]. 716 L(R(T(x,y) \ z,u,w),T(x,y),y) = R((x * y) \ (y * z),u,w). [para(365(a,1),47(a,1,1)),flip(a)]. 717 L(L(T(x,y) \ z,u,w),T(x,y),y) = L((x * y) \ (y * z),u,w). [para(365(a,1),48(a,1,1)),flip(a)]. 718 T((x * y) / (z * y),u) * (z * y) = (T(x / z,u) * z) * y. [para(111(a,1),380(a,1,1,1))]. 719 (T((x / y) / z,u) * z) * y = T(x / (z * y),u) * (z * y). [para(187(a,1),380(a,1,1,1)),flip(a)]. 720 R(T(x / y,y * z),y,z) = (y * z) \ (x * z). [hyper(307,a,392,a),flip(a)]. 721 R(T(x / y,y * z),y,z) != u | (y * z) \ (x * z) = u. [para(392(a,1),307(a,1))]. 722 (x / y) * (y * T(y \ 1,z)) = x * T(x \ (x / y),z). [para(415(a,2),345(a,1,2)),flip(a)]. 723 R(T(1 / x,y),x,x \ y) = y \ (x \ y). [hyper(307,a,417,a),flip(a)]. 724 T((x \ y) / y,z) * y = (T(1 / x,z) * x) * (x \ y). [para(417(a,2),255(a,1,1))]. 726 ((x * y) * z) * K(y * z,R(x,y,z)) != u * w | u \ ((y * z) * R(x,y,z)) = w. [para(110(a,1),429(a,1,1))]. 727 (1 / x) \ T((1 / x) * y,z) = x * T(x \ y,z). [hyper(75,a,440,a(flip),b,169,a)]. 728 L(L(T(x \ 1,y),x,z),z * x,1 / (z * x)) = T((1 / (z * x)) * z,y). [para(280(a,1),440(a,1,1))]. 729 (x \ 1) * T((x \ 1) \ y,z) = x \ T(x * y,z). [hyper(75,a,443,a(flip),b,166,a),flip(a)]. 730 R(x,T(y,x),T(z,y * x)) \ (z * (y * x)) = T(y,x) * T(z,y * x). [para(129(a,1),450(a,1,1,1))]. 731 T(x * (y \ 1),z) / (y \ 1) = T(x / y,z) * y. [hyper(76,a,462,a(flip),b,369,a)]. 732 ((x * y) \ x) * (x * y) = x * (y * T(y \ 1,x * y)). [para(140(a,1),498(a,2,1)),flip(a)]. 734 R(T(x,T(y,x) * z),T(y,x),z) = (T(y,x) * z) \ ((y * x) * z). [para(113(a,1),507(a,1,2,1)),flip(a)]. 735 T(x,y) * (x \ z) != u | (x \ z) * T((x \ z) \ z,y) = u. [para(67(a,1),544(a,1,1,1))]. 736 T(T((x * y) / x,z),y * x) = L(T(y,z),x,y). [hyper(189,a,43,a,b,566,a)]. 737 x * R(L(T(y,x),z,u),w,w \ x) = (L(y,z,u) * w) * (w \ x). [para(43(a,2),568(a,1,2,1))]. 738 T(x / (1 / y),z) * (1 / y) = T(x * y,z) / y. [hyper(76,a,596,a(flip),b,589,a),flip(a)]. 739 T(((1 / x) * y) * x,1 / x) = R(y,1 / x,x). [para(142(a,1),596(a,1,1)),flip(a)]. 740 ((x * (y \ z)) / z) * y = y * R(y \ x,y,y \ z). [para(604(a,1),113(a,1,2)),flip(a)]. 741 R(1 / x,x,x \ y) != z | (x \ y) / y = z. [para(609(a,1),138(a,1))]. 742 R(x,y,z) \ R(T(x,x \ 1),y,z) = a(R(x,y,z),1 / x,x). [para(631(a,1),702(a,1,2))]. 743 L((x \ (T(x,y) * y)) / y,y,x) = (y * K(T(x,y),y)) / y. [para(152(a,1),675(a,2,1,2))]. 744 ((x / y) * ((y \ z) \ z)) / (x / y) = T(x / (x / y),y \ z). [hyper(76,a,220,a(flip),b,327,a)]. 745 (1 / (1 / x)) \ L(y,x \ 1,x) = (1 / x) * y. [hyper(75,a,166,a(flip),b,473,a)]. 746 (x / (1 / y)) * z != y * ((y \ x) * u) | (1 / y) * u = z. [para(473(a,1),22(a,1)),flip(a)]. 748 (x * (y / x)) * x != z | (x \ 1) \ y = z. [para(491(a,1),135(a,1)),flip(b)]. 750 T(x,L(L(x,y,z),u,w)) = x. [hyper(148,a,504,a)]. 751 ((x / (1 / y)) * y) * (y \ 1) = x * y. [hyper(661,a,550,a)]. 752 (x * (1 / y)) * y = (x * y) * (y \ 1). [para(18(a,1),751(a,1,1,1)),flip(a)]. 753 x \ ((y * x) * (x \ 1)) = T(y * (1 / x),x). [hyper(147,a,752,a,b,17,a),flip(a)]. 755 (((1 / x) * y) * x) * (x \ 1) = (x \ (y * (1 / x))) * x. [para(483(a,1),752(a,1,1)),flip(a)]. 756 T((x * y) * (1 / x),x) = x \ ((x \ 1) \ y). [para(655(a,1),753(a,1,2)),flip(a)]. 757 T((x * y) / x,1 / y) = T((x * y) / x,y \ 1). [hyper(332,a,630,a),flip(a)]. 758 R((x * (y / z)) / x,z,z \ 1) / (z \ 1) = z * ((x * (z \ y)) / x). [hyper(189,a,373,a,b,680,a(flip)),flip(a)]. 759 ((x * R(y / z,z,u)) / x) * (z * u) = (z * u) * ((x * ((z * u) \ (y * u))) / x). [para(111(a,2),680(a,1,1,1,2))]. 760 (x * ((y * z) / y)) / x = (y * ((x * z) / x)) / y. [para(16(a,1),681(a,1,1,2,1,2))]. 761 ((x * (y / z)) / x) * z != u | z * ((x * (z \ y)) / x) = u. [para(681(a,1),200(a,1,1)),flip(b)]. 762 ((x * (y / (y / z))) / x) \ ((y / z) * ((x * z) / x)) = y / z. [para(69(a,1),682(a,1,2,2,1,2))]. 763 T(T((x * y) / (z * y),u),z) = R(T(z \ x,u),z,y). [para(111(a,1),686(a,1,1,1))]. 764 R(T(x \ y,x * z),x,z) = T((x * z) \ (y * z),x). [para(393(a,1),686(a,1,1)),flip(a)]. 765 (1 / x) \ T(1 / x,y) = x * T(x \ 1,y). [para(15(a,1),727(a,1,2,1))]. 766 x * T(x \ ((1 / x) \ y),z) = (1 / x) \ T(y,z). [para(17(a,1),727(a,1,2,1)),flip(a)]. 767 x \ T(x * (y * (x \ 1)),z) = T(y,z) * (x \ 1). [hyper(571,a,729,a),flip(a)]. 768 x \ T(x * y,x \ 1) = ((x \ 1) \ y) * (x \ 1). [hyper(205,a,729,a),flip(a)]. 769 (x \ 1) \ (x \ T(x * y,z)) = T((x \ 1) \ y,z). [hyper(80,a,729,a)]. 770 (x \ 1) * T((x \ 1) \ 1,y) = x \ T(x,y). [para(15(a,1),729(a,2,2,1))]. 771 (x \ 1) * T((x \ 1) \ (x \ y),z) = x \ T(y,z). [para(17(a,1),729(a,2,2,1))]. 772 x \ T(x * y,x \ 1) != z | ((x \ 1) \ y) * (x \ 1) = z. [para(729(a,1),205(a,1))]. 773 T(x,y) * (x \ 1) = x \ T(x,y). [hyper(189,a,326,a(flip),b,770,a(flip)),flip(a)]. 774 T(x,y) * R(T(x,y) \ 1,T(x,y),x \ 1) = ((x \ 1) / (x \ T(x,y))) * T(x,y). [para(773(a,1),522(a,1,1,2)),flip(a)]. 775 (x * y) \ (y * (x \ T(x,y))) = L(x \ 1,T(x,y),y). [para(773(a,1),153(a,1,2,2))]. 776 T(x * (y \ 1),z) / (y \ 1) = y * T(y \ x,z). [hyper(189,a,323,a(flip),b,731,a)]. 777 T(((1 / x) * y) * x,z) / x = (1 / x) * T(y,z). [hyper(547,a,738,a),flip(a)]. 778 (1 / x) * T((1 / x) \ y,z) = T(y * x,z) / x. [hyper(544,a,738,a)]. 779 T(x * y,1 / y) / y = ((1 / y) \ x) * (1 / y). [para(115(a,1),738(a,1,1)),flip(a)]. 780 T((x * T(y,x)) / x,T(y,x) \ 1) = T(y,1 / T(y,x)). [para(143(a,1),757(a,1,1)),flip(a)]. 781 ((1 / x) \ y) \ ((1 / x) \ T(y,x)) = K(x \ ((1 / x) \ y),x). [para(766(a,1),320(a,1,2))]. 782 x \ T(x * y,x \ 1) = (x \ 1) \ (y / x). [hyper(189,a,478,a(flip),b,768,a)]. 783 ((x \ 1) \ (x \ y)) * (x \ 1) = x \ T(y,x \ 1). [para(17(a,1),768(a,1,2,1)),flip(a)]. 784 (x \ 1) * (x \ T(x * y,x \ 1)) = y / x. [para(782(a,2),17(a,1,2))]. 785 (x \ 1) * T((x \ 1) \ y,z) != u | x \ T(x * y,z) = u. [para(769(a,1),203(a,1,2)),flip(b)]. 786 (x \ T(y,z)) / (x \ 1) = T((x \ y) / (x \ 1),z). [hyper(76,a,771,a(flip),b,323,a)]. 787 (x \ T(y,x \ 1)) / (x \ 1) = (x \ 1) \ (x \ y). [hyper(76,a,771,a(flip),b,113,a(flip))]. 788 T(x * ((y \ 1) \ 1),z) / ((y \ 1) \ 1) = y \ T(y * x,z). [hyper(189,a,729,a(flip),b,776,a)]. 789 T(x \ 1,y) / (x \ 1) = x * T(x \ 1,y). [para(14(a,1),776(a,1,1,1))]. 790 x * T(x \ (y / (x \ 1)),z) = T(y,z) / (x \ 1). [para(19(a,1),776(a,1,1,1)),flip(a)]. 791 T(((1 / x) * y) * x,z) = ((1 / x) * T(y,z)) * x. [para(777(a,1),19(a,1,1)),flip(a)]. 792 (1 / x) * T((1 / x) \ 1,y) = T(x,y) / x. [para(61(a,1),777(a,1,1,1)),flip(a)]. 793 (1 / x) * T(x,y) = T(x,y) / x. [para(68(a,1),777(a,1,1,1)),flip(a)]. 794 T(x,y) \ (T(x,y) / x) = T(1 / x,T(x,y)). [hyper(147,a,793,a,b,17,a),flip(a)]. 795 (T(x,y) / x) / T(x,y) = 1 / x. [hyper(88,a,793,a)]. 796 T(x,x \ y) / x = (1 / x) * ((x \ y) \ y). [hyper(189,a,220,a(flip),b,793,a(flip))]. 797 (T(x,y) / x) / (1 / x) = T(1 / (1 / x),y). [hyper(76,a,793,a(flip),b,327,a)]. 799 T((T(x,y) * (1 / x)) / T(x,y),T(x,y) / x) = L(1 / x,T(x,y),1 / x). [para(793(a,1),563(a,1,2))]. 801 L(x \ 1,x,T(x,y) / x) = T(1 / x,T(x,y)). [hyper(537,a,794,a)]. 802 (1 / x) * ((x \ y) \ y) = ((x \ y) \ y) / x. [para(114(a,1),796(a,1,1)),flip(a)]. 803 ((x \ y) / (y / x)) / (1 / (y / x)) = T(1 / (1 / (y / x)),x). [para(115(a,1),797(a,1,1,1))]. 804 ((1 / x) \ (y / x)) * (1 / x) = T(y,1 / x) / x. [para(19(a,1),779(a,1,1,1)),flip(a)]. 805 (x \ R(T(y,x \ 1),z,u)) / (x \ 1) = (x \ 1) \ (x \ R(y,z,u)). [para(45(a,2),787(a,1,1,2))]. 806 (x \ (y / (x \ 1))) * x = T(y,x) / (x \ 1). [hyper(205,a,790,a)]. 807 T(((1 / x) * y) * x,z) != u * x | (1 / x) * T(y,z) = u. [para(791(a,2),23(a,1))]. 808 K(x,1 / x) \ (x * (T(x,y) / x)) = L(T(x,y),1 / x,x). [para(793(a,1),231(a,1,2,2))]. 809 (x * y) * R((x * y) \ (x * z),u,w) = x * (y * R(y \ z,u,w)). [para(104(a,1),351(a,1,2,1))]. 810 (x * y) * R((x * y) \ z,u,w) = x * (y * R(y \ (x \ z),u,w)). [para(183(a,1),351(a,1,2,1))]. 811 (x * y) * L((x * y) \ z,u,w) = x * (y * L(y \ (x \ z),u,w)). [para(183(a,1),352(a,1,2,1))]. 812 (x * y) * L(T(x,x * y),z,u) = x * (y * L(T(x,y),z,u)). [para(554(a,1),352(a,1,2,1))]. 813 K(x \ 1,x) * L(x \ y,x,x \ 1) = (x \ 1) * y. [hyper(189,a,89,a(flip),b,354,a)]. 814 (L(x,y,z) * u) * w != v5 * (u * w) | L(R(x,u,w),y,z) = v5. [para(381(a,1),23(a,1))]. 815 L((x * y) / (z * y),u,w) * (z * y) = (L(x / z,u,w) * z) * y. [para(111(a,1),381(a,1,1,1))]. 816 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(773(a,1),399(a,1,1,1))]. 817 (x \ 1) * L((x \ 1) \ y,z,u) = x \ L(x * y,z,u). [para(362(a,1),402(a,1,2,1)),flip(a)]. 818 (1 / x) \ L(L(y,x,1 / x),z,u) != x * w | L(y,z,u) = w. [para(403(a,2),22(a,1))]. 819 (1 / x) \ L(1 / x,y,z) = x * L(x \ 1,y,z). [para(277(a,1),403(a,1,2,1))]. 820 (1 / x) * (x * R(x \ y,z,u)) = R((1 / x) * y,z,u). [hyper(306,a,441,a)]. 821 L(L(T(x \ 1,x),x,y),y * x,1 / (y * x)) = R((1 / (y * x)) * y,x,x \ 1). [para(706(a,1),441(a,1,1))]. 822 (1 / x) * (x * L(x \ y,z,u)) = L((1 / x) * y,z,u). [hyper(306,a,442,a)]. 823 (x \ 1) * R((x \ 1) \ y,z,u) = x \ R(x * y,z,u). [hyper(75,a,444,a(flip),b,166,a),flip(a)]. 824 L(x * (y \ 1),z,u) / (y \ 1) = L(x / y,z,u) * y. [hyper(76,a,463,a(flip),b,369,a)]. 825 L(T(T((x \ y) \ z,u),w),x \ y,x) = T(T(y \ (x * z),u),w). [para(582(a,1),43(a,2,1))]. 826 x * ((x \ y) * T((x \ y) \ z,u)) = y * T(y \ (x * z),u). [para(582(a,1),344(a,1,2)),flip(a)]. 827 R(x / (1 / y),z,u) * (1 / y) = R(x * y,z,u) / y. [para(593(a,1),594(a,1,1,1)),flip(a)]. 828 (x / y) * R((x / y) \ z,x / y,y) != u | ((z * y) / x) * (x / y) = u. [para(598(a,2),205(a,1,2))]. 829 (x * ((y \ x) / x)) / (y \ x) = ((x * (1 / y)) / x) * y. [para(286(a,1),672(a,1,1,2))]. 830 ((x / y) * (y / ((x / y) * y))) / (x / y) = (((x / y) * (1 / (x / y))) * y) / x. [hyper(189,a,391,a(flip),b,695,a(flip))]. 831 ((x * (y / (z * y))) / x) * (z * y) = (((x * (1 / z)) / x) * z) * y. [para(695(a,1),110(a,1,1))]. 832 T((x * y) \ ((x * z) * y),x) = R(T(z,x * y),x,y). [para(16(a,1),764(a,1,1,1)),flip(a)]. 833 K(x \ 1,x) * y != (x \ 1) * z | L(x \ z,x,x \ 1) = y. [para(813(a,1),22(a,1)),flip(a)]. 834 x * R(T(y,y * x),z,u) = L(R(y,z,u),x,y) * x. [para(558(a,1),501(a,1,2))]. 835 R(T(x,x \ y),z,u) = R((x \ y) \ y,z,u). [hyper(20,a,160,a,b,513,a),flip(a)]. 836 x \ R(T(y,y \ z),u,w) = x \ R((y \ z) \ z,u,w). [hyper(75,a,835,a,b,17,a)]. 838 (x * y) * T((x * y) \ (x * z),u) != w | x * (y * T(y \ z,u)) = w. [para(104(a,1),641(a,1,2,1))]. 840 (x / y) \ (x * T(x \ (x / y),z)) = y * T(y \ 1,z). [hyper(80,a,722,a)]. 841 (x / y) \ (x * T(x \ (x / y),z)) != u | y * T(y \ 1,z) = u. [para(722(a,1),237(a,1,2)),flip(b)]. 842 (x / y) * K(y \ 1,y) = x * T(x \ (x / y),y). [para(229(a,1),722(a,1,2))]. 843 (T(1 / x,y) * x) * (x \ z) = z * T(z \ (x \ z),y). [hyper(544,a,724,a),flip(a)]. 844 K((x * y) \ x,x * y) = y * T(y \ 1,x * y). [hyper(334,a,732,a)]. 845 K((x * y) \ x,x * y) / y = T(1 / y,x * y). [hyper(76,a,844,a,b,323,a)]. 846 (((1 / x) * y) * x) * (x \ 1) = x \ y. [hyper(189,a,471,a(flip),b,755,a)]. 847 (x \ y) / (x \ 1) = ((1 / x) * y) * x. [hyper(76,a,471,a(flip),b,755,a)]. 848 x \ ((1 / x) \ y) = (y * x) * (x \ 1). [para(17(a,1),846(a,1,1,1)),flip(a)]. 851 x \ ((1 / x) \ y) = R(y,x,x \ 1). [hyper(189,a,369,a(flip),b,848,a)]. 852 x * ((y * x) * (x \ 1)) = (1 / x) \ y. [para(848(a,1),17(a,1,2))]. 853 T(x,1 / T(x,y)) = T(x,T(x,y) \ 1). [para(143(a,1),780(a,1,1)),flip(a)]. 854 (x \ 1) * L((x \ 1) \ 1,y,z) = x \ L(x,y,z). [para(15(a,1),817(a,2,2,1))]. 855 (1 / x) * (x * R(x \ 1,y,z)) = R(1 / x,y,z). [para(15(a,1),820(a,2,1))]. 856 (1 / x) * (((y * (x \ z)) / z) * x) = R((1 / x) * y,x,x \ z). [para(740(a,2),820(a,1,2))]. 857 (1 / x) \ R(1 / x,y,z) = x * R(x \ 1,y,z). [hyper(80,a,855,a)]. 858 (x / y) * R((x / y) \ 1,x / y,y) = (1 / (x / y)) \ (y / x). [hyper(75,a,287,a(flip),b,855,a),flip(a)]. 859 (1 / x) \ R(1 / x,y,z) != u | x * R(x \ 1,y,z) = u. [para(855(a,1),237(a,1,2)),flip(b)]. 860 (1 / x) * ((y / (x * y)) * x) = R(1 / x,x,y). [para(522(a,2),855(a,1,2))]. 861 ((x \ y) / y) / (((x \ y) / (x * (x \ y))) * x) = 1 / x. [hyper(76,a,286,a(flip),b,860,a)]. 862 (x / (y * x)) / ((x / (y * x)) * y) = 1 / y. [hyper(76,a,141,a(flip),b,860,a)]. 863 ((x / (y * x)) * y) \ (x / (y * x)) = T(1 / y,(x / (y * x)) * y). [para(862(a,1),115(a,1,1)),flip(a)]. 864 L((1 / x) * (y * x),z,u) = (1 / x) * (L(y,z,u) * x). [para(500(a,1),822(a,1,2)),flip(a)]. 865 (x \ 1) * R((x \ 1) \ 1,y,z) = x \ R(x,y,z). [para(15(a,1),823(a,2,2,1))]. 866 x \ R(x * (y * (x \ 1)),z,u) = (x \ 1) * R(T(y,x \ 1),z,u). [para(35(a,2),823(a,1,2,1)),flip(a)]. 867 R(x,y,z) * (x \ 1) = x \ R(x,y,z). [hyper(189,a,513,a(flip),b,865,a(flip)),flip(a)]. 868 R(x,y,z) \ (x \ R(x,y,z)) = x \ 1. [hyper(75,a,865,a(flip),b,513,a(flip))]. 869 ((1 / x) * R(x,y,z)) * x = R(x,y,z). [hyper(21,a,846,a,b,867,a),flip(a)]. 870 (x \ R(x,y,z)) / R(T(x,x \ 1),y,z) = x \ 1. [hyper(76,a,867,a(flip),b,160,a)]. 871 (x \ R(x,y,z)) * K(x \ 1,R(x,y,z)) = (x \ 1) * R(x,y,z). [para(867(a,1),95(a,1,1))]. 872 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(867(a,1),522(a,1,1,2)),flip(a)]. 873 T((R(x,y,z) * (1 / x)) / R(x,y,z),x) = (x \ R(x,y,z)) / R(x,y,z). [para(867(a,1),546(a,2,1))]. 875 (1 / x) * R(x,y,z) = R(x,y,z) / x. [hyper(88,a,869,a),flip(a)]. 876 R(x \ 1,y,z) / (x \ 1) = x * R(x \ 1,y,z). [hyper(456,a,875,a),flip(a)]. 877 R(x,y,z) \ (R(x,y,z) / x) = T(1 / x,R(x,y,z)). [hyper(147,a,875,a,b,17,a),flip(a)]. 878 (R(x,y,z) / x) / R(x,y,z) = 1 / x. [hyper(88,a,875,a)]. 879 R(x,y,z) / x != R(x,y,z) * u | T(1 / x,R(x,y,z)) = u. [para(875(a,1),148(a,2)),flip(a)]. 880 L(R(x,y,z) \ u,R(x,y,z),1 / x) = (R(x,y,z) / x) \ ((1 / x) * u). [para(875(a,1),104(a,2,1))]. 881 (1 / x) * R(x,y,z) != u | R(x,y,z) / x = u. [para(878(a,1),200(a,1,1)),flip(b)]. 882 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(877(a,1),587(a,1,1,2))]. 883 L(x * (y \ 1),z,u) / (y \ 1) = y * L(y \ x,z,u). [hyper(189,a,502,a(flip),b,824,a)]. 884 (1 / x) * R((1 / x) \ y,z,u) = R(y * x,z,u) / x. [hyper(679,a,827,a)]. 885 (x * ((y \ x) / x)) / (y \ x) = y * ((x * (y \ 1)) / x). [hyper(189,a,680,a(flip),b,829,a)]. 886 K(x \ (x / y),x) = y * T(y \ 1,x). [hyper(575,a,840,a)]. 887 x \ K(y \ (y / x),y) = T(x \ 1,y). [hyper(75,a,320,a(flip),b,840,a(flip))]. 888 x * T(x \ 1,y) != z | K(y \ (y / x),y) = z. [para(840(a,1),575(a,1))]. 889 K(x \ (x / (1 / y)),x) = T(y,x) / y. [hyper(189,a,792,a(flip),b,886,a)]. 890 K(x \ (x / (y \ 1)),x) = y \ T(y,x). [hyper(189,a,770,a(flip),b,886,a)]. 891 K(x \ (x / y),x) / y = T(1 / y,x). [hyper(76,a,886,a,b,323,a)]. 892 (x \ y) \ K(y \ x,y) = T((x \ y) \ 1,y). [para(67(a,1),887(a,1,2,1,2))]. 894 T(x,y) = K(y \ (y / (1 / x)),y) * x. [para(889(a,2),19(a,1,1)),flip(a)]. 895 K(x \ (x / (1 / (y / (x * y)))),x) = R(x \ 1,x,y) / (y / (x * y)). [para(517(a,1),889(a,2,1))]. 896 K(x \ (x / ((y / x) \ 1)),x) = (y / x) \ (x \ y). [para(115(a,1),890(a,2,2))]. 897 K(x \ (x / (((x * y) / x) \ 1)),x) = ((x * y) / x) \ y. [para(142(a,1),890(a,2,2))]. 898 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(876(a,1),890(a,1,1,2))]. 899 T(x,y) / x != z | K(y \ (y / (1 / x)),y) = z. [para(894(a,2),248(a,1,1)),flip(b)]. 900 T(((x * y) \ x) \ 1,x) = ((x * y) \ x) \ K(y,x). [para(16(a,1),892(a,1,2,1)),flip(a)]. 901 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(868(a,1),896(a,2,2))]. 902 T(((x * y) \ x) \ 1,x) = L(y \ 1,y,x) \ K(y,x). [hyper(189,a,573,a,b,900,a)]. 903 K(x,y) = ((y * x) \ y) * T(((y * x) \ y) \ 1,y). [para(900(a,2),17(a,1,2)),flip(a)]. 905 T(L(x \ 1,x,y) \ 1,y) = ((y * x) \ y) \ K(x,y). [para(140(a,2),900(a,1,1,1))]. 906 K(x,y) = L(x \ 1,x,y) * T(L(x \ 1,x,y) \ 1,y). [para(905(a,2),312(a,1,2)),flip(a)]. 907 (((x * y) \ x) \ K(y,x)) / (L(y \ 1,y,x) \ 1) = L(y \ 1,y,x) * T(L(y \ 1,y,x) \ 1,x). [para(905(a,1),789(a,1,1))]. 908 ((x \ 1) * x) * (x \ y) = y * T(y \ (x \ y),x). [para(115(a,1),843(a,1,1,1))]. 909 (x * T(x \ 1,y)) * (x \ z) = z * T(z \ (x \ z),y). [para(323(a,1),843(a,1,1))]. 910 K(x \ 1,x) * (x \ y) = y * T(y \ (x \ y),x). [para(165(a,2),908(a,1,1))]. 911 ((x \ y) / y) / (((x \ y) / y) * x) = 1 / x. [para(17(a,1),861(a,1,2,1,2))]. 912 (1 / x) \ ((x \ y) / y) = ((x \ y) / y) * x. [para(911(a,1),69(a,1,1))]. 914 L(x * y,z,u) / ((1 / y) \ 1) = (1 / y) * L((1 / y) \ x,z,u). [para(69(a,1),883(a,1,1,1,2))]. 915 (1 / x) * R((1 / x) \ 1,y,z) = R(x,y,z) / x. [para(14(a,1),884(a,2,1,1))]. 916 T((x * y) / x,K(x \ (x / (((x * y) / x) \ 1)),x)) != z | (((x * y) / x) \ y) \ y = z. [para(897(a,2),315(a,1,2))]. 917 (x * T(x \ (y \ x),z)) / (y \ x) != u | y * T(y \ 1,z) = u. [para(909(a,1),248(a,1,1)),flip(b)]. 918 (x \ T(x,y)) * ((x \ 1) \ z) = z * T(z \ ((x \ 1) \ z),y). [para(770(a,1),909(a,1,1))]. 919 ((x \ 1) * L((x \ 1) \ y,z,u)) * T(x,x \ 1) = R(L(y / (x \ 1),z,u),x \ 1,(x \ 1) \ 1). [para(502(a,1),448(a,1,1))]. 921 x * (y * R(T(x,y),z,u)) = R(x,z,u) * (x * y). [hyper(189,a,351,a(flip),b,560,a(flip)),flip(a)]. 922 R(x,y,z) * (x * u) = x * (R(x,y,z) * u). [para(160(a,1),921(a,1,2)),flip(a)]. 923 (R(x,y,z) * u) / (R(x,y,z) * (x \ u)) = x. [hyper(424,a,922,a)]. 924 x * (R(x,y,z) * (x \ u)) = R(x,y,z) * u. [hyper(254,a,922,a),flip(a)]. 925 x * (R(x,y,z) \ 1) = R(x,y,z) \ x. [hyper(75,a,62,a(flip),b,922,a),flip(a)]. 927 x * (R(x,y,z) * T(u,x)) = R(x,y,z) * (u * x). [para(113(a,1),922(a,1,2)),flip(a)]. 928 (R(x,y,z) * u) \ (x * (R(x,y,z) * u)) = L(T(x,u),u,R(x,y,z)). [para(922(a,1),154(a,1,2))]. 929 L(R(x,y,z) \ 1,x,1 / x) = (1 / x) * (R(x,y,z) \ x). [para(925(a,1),169(a,1,2)),flip(a)]. 930 R(x,y,x) * T(y,x) = T(x * y,x). [hyper(147,a,110,a(flip),b,927,a),flip(a)]. 931 x * ((x \ y) * L((x \ y) \ z,u,w)) = y * L(y \ (x * z),u,w). [para(359(a,1),576(a,1,2,1)),flip(a)]. 932 (x / y) * (y * L(y \ 1,z,u)) = x * L(x \ (x / y),z,u). [para(279(a,1),580(a,1,2,1)),flip(a)]. 933 (x / y) * (y * L(y \ z,u,w)) = x * L(x \ ((x / y) * z),u,w). [para(364(a,1),580(a,1,2,1)),flip(a)]. 934 x * ((x \ y) * R((x \ y) \ z,u,w)) = y * R(y \ (x * z),u,w). [para(583(a,1),344(a,1,2)),flip(a)]. 935 (x * y) * R(T(y,x),z,u) = (R(y,z,u) * x) * y. [hyper(189,a,382,a(flip),b,617,a(flip))]. 936 (x * y) * ((z * ((x * y) \ u)) / z) = x * (y * ((z * (y \ (x \ u))) / z)). [para(691(a,1),102(a,1,2))]. 938 (x / y) * (y * ((z * (y \ 1)) / z)) = x * ((z * (x \ (x / y))) / z). [para(692(a,1),345(a,1,2)),flip(a)]. 939 (1 / x) \ ((y * ((1 / x) * z)) / y) = x * ((y * (x \ z)) / y). [hyper(75,a,693,a(flip),b,169,a)]. 940 (x * y) * T((x * y) \ (y * z),u) = y * (T(x,y) * T(T(x,y) \ z,u)). [para(715(a,1),353(a,1,2))]. 941 (x / y) \ T(x,(x / y) \ 1) != z | (((x / y) \ 1) \ y) * ((x / y) \ 1) = z. [para(19(a,1),772(a,1,2,1))]. 942 (x \ 1) \ (y / x) != z | ((x \ 1) \ y) * (x \ 1) = z. [para(782(a,1),772(a,1))]. 943 ((x * y) * (z * u)) / ((y * z) * L(u,z,x * y)) = R(R(x,y,z),y * z,L(u,z,x * y)). [para(102(a,1),378(a,1,1))]. 944 x * L(T(T((y \ x) \ x,z),u),y \ x,y) = y * (T(T(y,z),u) * (y \ x)). [para(534(a,1),344(a,2,2))]. 945 ((((x * y) / x) \ z) \ z) * x != x * u | T(y,((x * y) / x) \ z) = u. [para(543(a,2),22(a,1))]. 946 (x \ (y / (x \ 1))) * x = ((x \ 1) * y) * (x * x). [para(67(a,1),636(a,1,2,1)),flip(a)]. 948 (x * y) * R((x * y) \ (x * z),u,w) != v5 | x * (y * R(y \ z,u,w)) = v5. [para(104(a,1),642(a,1,2,1))]. 951 (x * y) * T((x * y) \ (z * y),u) = (T(z / x,u) * x) * y. [hyper(544,a,718,a)]. 952 T(1 / (1 / x),x \ 1) = x. [hyper(628,a,744,a)]. 953 T(T(1 / (1 / x),y),x \ 1) = T(x,y). [para(952(a,1),41(a,1,1)),flip(a)]. 954 T(1 / (1 / (1 / x)),x) = 1 / x. [para(69(a,1),952(a,1,2))]. 955 (1 / (1 / (1 / x))) * x = x * (1 / x). [para(954(a,1),113(a,1,2)),flip(a)]. 957 ((x * (y / (y / T(z,x)))) / x) \ ((y / T(z,x)) * z) = y / T(z,x). [para(143(a,1),762(a,1,2,2))]. 958 (((x * y) \ y) / (y / (x * y))) / (1 / (y / (x * y))) = T(1 / (1 / R(1 / x,x,y)),x * y). [para(141(a,2),803(a,2,1,2,2))]. 959 x * (y * L(T(x,y),z,u)) = L(x,z,u) * (x * y). [hyper(303,a,812,a),flip(a)]. 960 L(x,y,z) * (x * u) = x * (L(x,y,z) * u). [para(159(a,1),959(a,1,2)),flip(a)]. 961 x \ (L(x,y,z) * u) = L(x,y,z) * (x \ u). [hyper(432,a,960,a)]. 962 L(x,y,z) * (x \ 1) = x \ L(x,y,z). [hyper(299,a,960,a),flip(a)]. 963 L(x,y,z) \ (x * u) = x * (L(x,y,z) \ u). [hyper(75,a,89,a(flip),b,960,a)]. 964 x * (L(x,y,z) \ 1) = L(x,y,z) \ x. [hyper(75,a,62,a(flip),b,960,a),flip(a)]. 965 ((x * y) * L(x,z,u)) \ (x * (L(x,z,u) * y)) = K(L(x,z,u),x * y). [hyper(75,a,960,a(flip),b,95,a)]. 967 (L(x,y,z) * u) \ (x * (L(x,y,z) * u)) = L(T(x,u),u,L(x,y,z)). [para(960(a,1),154(a,1,2))]. 968 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(962(a,1),522(a,1,1,2)),flip(a)]. 969 (L(x,y,z) \ x) \ ((L(x,y,z) \ 1) * x) = K(L(x,y,z) \ 1,x). [para(964(a,1),29(a,2,1)),flip(a)]. 970 L(x \ 1,y,z) \ K(x \ 1,x) = (x \ 1) * (L(x \ 1,y,z) \ x). [para(165(a,2),963(a,1,2))]. 971 x \ (y * T(y \ (x * z),u)) = (x \ y) * T((x \ y) \ z,u). [hyper(80,a,826,a)]. 972 x * ((x \ y) * T((x \ y) \ 1,z)) = y * T(y \ x,z). [para(15(a,1),826(a,2,2,1,2))]. 973 x * T(x \ (y * x),z) = y * (T(y,z) * (y \ x)). [para(326(a,1),826(a,1,2)),flip(a)]. 974 x * (T(x,y) * (x \ z)) = T(x,y) * z. [hyper(571,a,973,a),flip(a)]. 975 x \ (T(x,y) * z) = T(x,y) * (x \ z). [hyper(541,a,973,a)]. 976 (T(x,y) * z) / (T(x,y) * (x \ z)) = x. [hyper(76,a,322,a(flip),b,973,a(flip))]. 977 x \ (T(x,y) * T(x,z)) = T(x,z) * (x \ T(x,y)). [hyper(75,a,324,a,b,974,a)]. 978 T(x,y) * (x \ (T(x,y) \ z)) = x \ z. [hyper(75,a,17,a(flip),b,974,a),flip(a)]. 979 T(x,y) * (x * z) = x * (T(x,y) * z). [para(16(a,1),974(a,1,2,2)),flip(a)]. 980 T(x,y) * z != x * u | T(x,y) * (x \ z) = u. [para(974(a,1),22(a,1))]. 981 x * (T(x,y) * T(z,x)) = T(x,y) * (z * x). [para(35(a,2),974(a,1,2,2))]. 982 (x / y) * (T(x / y,z) * y) = T(x / y,z) * x. [para(69(a,1),974(a,1,2,2))]. 983 x \ (T(x,y) * z) != u | T(x,y) * (x \ z) = u. [para(974(a,1),237(a,1,2)),flip(b)]. 984 x \ (T(x,y) \ x) = T(x,y) \ 1. [hyper(413,a,975,a),flip(a)]. 985 x \ (T(x,x \ y) * z) = ((x \ y) \ y) * (x \ z). [hyper(189,a,219,a(flip),b,975,a)]. 986 L((T(x,y) * (x \ y)) / y,y,x) = (y * K(T(x,y),y)) / y. [para(975(a,1),743(a,1,1,1))]. 987 x * (T(x,y) \ 1) = T(x,y) \ x. [para(984(a,1),17(a,1,2))]. 988 (T(x,y) \ x) / (T(x,y) \ 1) = x. [para(984(a,1),67(a,1,2))]. 989 x * (T(x,y) \ 1) != z | T(x,y) \ x = z. [para(984(a,1),203(a,1,2)),flip(b)]. 992 (T(x,y) \ x) / T(x,T(x,y) \ 1) = T(x,y) \ 1. [hyper(76,a,987,a(flip),b,113,a)]. 993 (1 / T(x,y)) * x = x / T(x,y). [hyper(76,a,988,a(flip),b,847,a(flip)),flip(a)]. 994 (T(x,y) \ T(x,z)) / (T(x,y) \ 1) = T(x,z). [para(988(a,1),786(a,2,1))]. 995 T(1 / T(x,y),x) = x \ (x / T(x,y)). [hyper(147,a,993,a,b,17,a)]. 997 T(x,y) \ (x \ z) = x \ (T(x,y) \ z). [hyper(80,a,978,a)]. 998 T(x,y) * (x * (T(x,y) \ z)) = x * z. [hyper(189,a,89,a(flip),b,979,a)]. 999 T(T(x,y),x * (T(x,y) \ z)) = (x * (T(x,y) \ z)) \ (x * z). [hyper(147,a,979,a,b,211,a)]. 1000 T(x,y) \ (x * z) = x * (T(x,y) \ z). [hyper(75,a,89,a(flip),b,979,a)]. 1002 (x / y) * (T(x / y,y) * z) = (y \ x) * ((x / y) * z). [para(115(a,1),979(a,1,1)),flip(a)]. 1004 K(x \ (x / (1 / (1 / T(x,y)))),x) * (1 / T(x,y)) = x \ (x / T(x,y)). [hyper(189,a,894,a(flip),b,995,a(flip)),flip(a)]. 1005 T(x,y) * T(T(x,y) \ 1,x) = (x \ (x / T(x,y))) * T(x,y). [para(995(a,1),323(a,1,1)),flip(a)]. 1006 x * (T(x,y) \ (x \ z)) != u | T(x,y) \ z = u. [para(997(a,2),203(a,1,2)),flip(b)]. 1007 T(x,y) * (x \ (T(x,y) \ z)) != u * w | (x \ z) / w = u. [para(997(a,1),298(a,1,2))]. 1008 x * (T(x,y) \ y) = T(y,T(x,y)). [hyper(292,a,998,a),flip(a)]. 1009 T(x,y) \ K(x,1 / x) = x * (T(x,y) \ (1 / x)). [hyper(75,a,168,a,b,998,a)]. 1010 x * (T(x,y) \ ((x \ T(x,y)) * z)) = L(z,x \ T(x,y),x). [hyper(20,a,344,a,b,998,a)]. 1011 x * (T(x,y) \ (T(x,y) / x)) = K(x,T(x,y) / x). [hyper(20,a,214,a,b,998,a)]. 1012 T(x,y) \ (x * z) != u | x * (T(x,y) \ z) = u. [para(998(a,1),237(a,1,2)),flip(b)]. 1013 (x / y) * ((y \ x) \ y) = T(y,T(x / y,y)). [para(115(a,1),1008(a,1,2,1))]. 1014 T(T(x,y * x) * y,x) = T(x,y) * T(y,x). [hyper(147,a,619,a,b,981,a)]. 1015 T(x,y) * T(T(x,y) \ x,x) = L(x,T(x,y) \ x,T(x,y)). [hyper(20,a,344,a,b,981,a)]. 1017 (1 / T(x,y)) * T(x,z) = T(x,z) / T(x,y). [hyper(76,a,994,a(flip),b,847,a(flip)),flip(a)]. 1018 T(x,y) * (T(x,z) \ 1) = T(x,z) \ T(x,y). [para(994(a,1),19(a,1,1))]. 1019 (x / y) * ((y \ x) \ y) = T(y,y \ x). [para(115(a,1),1013(a,2,2))]. 1020 ((x * y) / x) * (y \ x) = T(x,x \ (x * y)). [para(16(a,1),1019(a,1,2,1))]. 1021 T(x,1 / T(x,y)) / T(x,y) = x * (1 / T(x,y)). [hyper(205,a,1017,a),flip(a)]. 1022 T(x,y) \ (T(x,y) / T(x,z)) = T(1 / T(x,z),T(x,y)). [hyper(147,a,1017,a,b,17,a),flip(a)]. 1023 (T(x,y) / T(x,z)) / T(x,y) = 1 / T(x,z). [hyper(88,a,1017,a)]. 1025 T(x / y,z) \ T(x / y,y) = (y \ x) * (T(x / y,z) \ 1). [para(115(a,1),1018(a,1,1)),flip(a)]. 1027 T(x,y) = ((x * y) / x) * (y \ x). [para(16(a,1),1020(a,2,2)),flip(a)]. 1028 T(x,y) / (y \ x) = (x * y) / x. [hyper(76,a,1027,a,b,xx)]. 1029 T((x * y) / x,y \ x) = (y \ x) \ T(x,y). [hyper(75,a,1027,a,b,113,a),flip(a)]. 1030 ((x * y) / x) \ T(x,y) = y \ x. [hyper(75,a,1027,a,b,xx)]. 1031 (x / (x / y)) * (y \ (x / y)) = T(x / y,y). [para(19(a,1),1027(a,2,1,1)),flip(a)]. 1032 ((x * (x / y)) / x) * y = T(x,x / y). [para(69(a,1),1027(a,2,2)),flip(a)]. 1033 ((x * R(y,y \ 1,x)) / x) * ((y \ 1) * x) = T(x,R(y,y \ 1,x)). [para(313(a,1),1027(a,2,2)),flip(a)]. 1034 R(x \ ((y * z) / y),x,z \ y) = T(T(y,z) / (x * (z \ y)),x). [para(1027(a,2),518(a,1,1,1)),flip(a)]. 1035 ((x * y) * x) / (x * y) = T(x * y,x) / y. [para(16(a,1),1028(a,1,2)),flip(a)]. 1038 (x \ y) \ K(T(y,x) \ ((y * x) / y),T(y,x)) = T((x \ y) \ 1,T(y,x)). [para(1028(a,1),887(a,1,2,1,2))]. 1039 x * ((y * (x \ y)) / y) = T(y,y / x). [hyper(761,a,1032,a)]. 1040 x \ T(y,y / x) = (y * (x \ y)) / y. [hyper(75,a,1032,a(flip),b,680,a(flip))]. 1041 T(x,x / y) != z | y * ((x * (y \ x)) / x) = z. [para(1032(a,1),761(a,1))]. 1042 (x / y) * ((x * y) / x) = T(x,x / (x / y)). [para(69(a,1),1039(a,1,2,1,2))]. 1043 (x * y) * L((x \ y) / y,y,x) = T(y,y / (x * y)). [para(675(a,2),1039(a,1,2))]. 1044 x * ((y * (x \ y)) / y) != z | T(y,y / x) = z. [para(1040(a,1),203(a,1,2)),flip(b)]. 1045 x * ((y * (x \ y)) / y) != z * u | z \ T(y,y / x) = u. [para(1040(a,1),301(a,1,2))]. 1046 T((x \ y) \ T(y,x),y) = T(x,x \ y). [para(1029(a,1),176(a,1,1))]. 1047 T((x \ y) \ T(y,x),x * y) = L(T(x,x \ y),y,x). [para(1029(a,1),736(a,1,1))]. 1048 T((x \ y) \ T(y,x),y) = (x \ y) \ y. [hyper(189,a,114,a(flip),b,1046,a)]. 1049 (x * y) / ((x * y) / x) = y / (x \ ((x * y) / x)). [hyper(76,a,142,a(flip),b,1031,a),flip(a)]. 1050 T(T(x * y,x) / y,x * y) = x. [para(1035(a,1),142(a,1,1))]. 1051 T(T(x * y,x) / y,y) = R(x,y,T(x,y)). [para(1035(a,1),703(a,1,1))]. 1052 T(T(R(x,y,y \ 1),x * y) / (y \ 1),(x * y) * (y \ 1)) = x * y. [para(369(a,1),1050(a,1,1,1,1))]. 1053 x \ T(y * x,y) = R(y,x,T(y,x)). [hyper(307,a,1051,a)]. 1054 x * R(y,x,T(y,x)) = T(y * x,y). [para(1051(a,1),146(a,1,2))]. 1055 R(x,y,T(x,y)) != z | y \ T(x * y,x) = z. [para(1051(a,1),307(a,1))]. 1056 L(R(x,y,T(x,y)),y,x) = x. [para(1053(a,1),360(a,1,1))]. 1057 T(x,x / (x / T(y,x))) = (x / T(y,x)) * y. [para(143(a,1),1042(a,1,2)),flip(a)]. 1059 T(x,y) \ K(x,1 / x) != z | x * (T(x,y) \ (1 / x)) = z. [para(168(a,2),1012(a,1,2))]. 1060 T(x,T(y,x)) != z | y * (T(y,x) \ x) = z. [para(157(a,1),1012(a,1))]. 1061 T(x,y) * (x \ T(x,z)) != u | T(x,z) * (x \ T(x,y)) = u. [para(977(a,1),983(a,1))]. 1062 (x / y) * (y * T(y \ x,z)) = T(x / y,z) * x. [para(323(a,1),982(a,1,2))]. 1063 x \ (((x \ y) \ y) * z) = ((x \ y) \ y) * (x \ z). [para(114(a,1),985(a,1,2,1))]. 1064 x * T(1 / x,T(x,y)) = K(x,T(x,y) / x). [para(794(a,1),1011(a,1,2))]. 1065 T(x,T(x,y) \ 1) / T(x,y) = x * (1 / T(x,y)). [para(853(a,1),1021(a,1,1))]. 1067 T(x / y,z) * u != (x / y) * (y * T(y \ x,z)) | u = x. [para(1062(a,2),22(a,2))]. 1069 x * (y * ((x \ y) / y)) = T(y,y / (x * y)). [hyper(207,a,1043,a)]. 1070 T(x,x / (y * x)) != z | y * (x * ((y \ x) / x)) = z. [para(1043(a,1),207(a,1))]. 1071 (x \ y) * T((x \ y) \ 1,z) = x \ (y * T(y \ x,z)). [hyper(80,a,972,a),flip(a)]. 1072 (x \ y) * T((x \ y) \ 1,y) = x \ ((y \ x) * y). [hyper(75,a,113,a(flip),b,972,a),flip(a)]. 1073 x * T(x \ y,y \ x) = y * K((y \ x) \ 1,y \ x). [para(229(a,1),972(a,1,2)),flip(a)]. 1074 x * T(x \ y,z) = y * K(z \ (z / (y \ x)),z). [para(886(a,2),972(a,1,2)),flip(a)]. 1075 K(x \ (x / (y \ z)),x) = y \ (z * T(z \ y,x)). [hyper(426,a,1074,a),flip(a)]. 1076 T(x * y,z) / y = x * K(z \ (z / (x \ (1 / y))),z). [hyper(189,a,778,a(flip),b,1074,a(flip)),flip(a)]. 1077 (x \ y) * K(z \ (z / ((x \ y) \ (x \ 1))),z) = x \ T(y,z). [hyper(189,a,771,a(flip),b,1074,a(flip))]. 1078 (x * y) * K(z \ (z / ((x * y) \ x)),z) = x * T(y,z). [para(16(a,1),1074(a,1,2,1)),flip(a)]. 1079 (x * y) * T((x * y) \ (y * x),z) = (y * x) * K(z \ (z / K(x,y)),z). [para(29(a,2),1074(a,2,2,1,2,2))]. 1080 (x * (y * z)) * T((x * (y * z)) \ (x * y),u) = (x * y) * K(u \ (u / L(z,y,x)),u). [para(31(a,2),1074(a,2,2,1,2,2))]. 1081 K((x * (y \ z)) \ x,x * (y \ z)) = y \ (z * T(z \ y,x * (y \ z))). [para(18(a,1),1075(a,1,1,2))]. 1082 K(x \ (x / (y \ (y / z))),x) = y \ ((y / z) * T(z,x)). [para(69(a,1),1075(a,2,2,2,1))]. 1083 (x / y) * ((y \ x) * z) = (y \ x) * ((x / y) * z). [para(115(a,1),1002(a,1,2,1))]. 1084 (x \ (x * y)) * (((x * y) / x) * z) = ((x * y) / x) * (y * z). [para(142(a,1),1002(a,1,2,1)),flip(a)]. 1085 ((x / y) \ x) * ((x / (x / y)) * z) = (x / (x / y)) * (y * z). [para(164(a,1),1002(a,1,2,1)),flip(a)]. 1086 (x \ y) \ ((y / x) * z) = (y / x) * ((x \ y) \ z). [hyper(432,a,1083,a)]. 1087 (x / y) * ((y \ x) \ ((x / y) \ z)) = (y \ x) \ z. [hyper(431,a,1083,a),flip(a)]. 1088 (x / y) * ((y \ x) \ 1) = (y \ x) \ (x / y). [hyper(299,a,1083,a),flip(a)]. 1089 ((x \ 1) \ 1) / x = (x \ 1) \ (1 / x). [hyper(189,a,802,a(flip),b,1088,a(flip)),flip(a)]. 1090 (x \ 1) \ (1 / x) = K(x,1 / x). [hyper(495,a,1089,a),flip(a)]. 1091 (x \ 1) * K(x,1 / x) = 1 / x. [para(1090(a,1),17(a,1,2))]. 1092 (1 / x) / K(x,1 / x) = x \ 1. [para(1090(a,1),67(a,1,2))]. 1093 R(1 / x,x,1 / x) = x \ 1. [hyper(539,a,1092,a)]. 1094 R(x / (y * x),y,1 / y) = R(y \ 1,y,x). [para(1093(a,1),289(a,1,1)),flip(a)]. 1095 R(x \ 1,x,y) \ (((y / (x * y)) * x) * (1 / x)) = x * (1 / x). [para(1094(a,1),133(a,1,1))]. 1096 K(T(1 / T(x,y),T(x,z)),T(x,z)) / T(x,y) = T(1 / T(x,y),T(x,z)). [para(1022(a,1),891(a,1,1,1))]. 1097 (x / y) * K(z \ (z / ((x / y) \ (1 / y))),z) = T(x,z) / y. [para(19(a,1),1076(a,1,1,1)),flip(a)]. 1098 (x * y) * K(L(y \ 1,y,x) \ 1,L(y \ 1,y,x)) = x * T(y,L(y \ 1,y,x)). [para(319(a,1),1078(a,1,2,1,2))]. 1099 (1 / x) \ ((y * (1 / x)) / y) = x * ((y * (x \ 1)) / y). [para(15(a,1),939(a,1,2,1,2))]. 1100 (x * y) * T((x * y) \ (z * y),u) = (x * T(x \ z,u)) * y. [para(323(a,1),951(a,2,1))]. 1101 (x \ y) * T((x \ y) \ T(y,x),z) = x \ (y * T(x,z)). [para(144(a,1),971(a,1,2,2,1)),flip(a)]. 1102 (x \ y) * (T(y / x,z) \ 1) = T(y / x,z) \ (x \ y). [para(115(a,1),1025(a,1,2)),flip(a)]. 1103 T(x / (y \ x),z) \ ((y \ x) \ x) = ((y \ x) \ x) * (T(y,z) \ 1). [para(67(a,1),1102(a,1,2,1,1)),flip(a)]. 1104 ((x * y) / x) * (y * z) = y * (((x * y) / x) * z). [para(16(a,1),1084(a,1,1)),flip(a)]. 1105 x \ (((y * x) / y) * z) = ((y * x) / y) * (x \ z). [hyper(432,a,1104,a)]. 1106 ((x * y) / x) * (y \ 1) = y \ ((x * y) / x). [hyper(299,a,1104,a),flip(a)]. 1107 ((x * y) / x) \ (y * z) = y * (((x * y) / x) \ z). [hyper(75,a,89,a(flip),b,1104,a)]. 1108 (x \ ((y * x) / y)) / (x \ 1) = (y * x) / y. [hyper(88,a,1106,a)]. 1110 (1 / x) * ((y * x) / y) = ((y * x) / y) / x. [hyper(76,a,1108,a(flip),b,847,a(flip)),flip(a)]. 1111 ((x * (y \ 1)) / x) / (y \ 1) = y * ((x * (y \ 1)) / x). [hyper(456,a,1110,a),flip(a)]. 1112 ((x * y) / x) * (y \ ((((x * y) / x) \ y) * z)) = L(z,((x * y) / x) \ y,(x * y) / x). [hyper(577,a,1105,a),flip(a)]. 1113 (x / (x / y)) * (y * z) = y * ((x / (x / y)) * z). [hyper(455,a,1085,a),flip(a)]. 1115 (x / (x / y)) \ (y * z) = y * ((x / (x / y)) \ z). [hyper(75,a,89,a(flip),b,1113,a)]. 1116 (x * ((y / (y / x)) * z)) \ ((x * z) * (y / (y / x))) = K(x * z,y / (y / x)). [para(1113(a,1),29(a,2,1)),flip(a)]. 1117 x * (y * T(y \ (x \ (z * y)),u)) = (x * T(x \ z,u)) * y. [hyper(189,a,713,a(flip),b,1100,a(flip)),flip(a)]. 1118 x * T(x \ (x \ (y * x)),z) = T(x * T(x \ y,z),x). [hyper(147,a,1100,a(flip),b,713,a(flip)),flip(a)]. 1119 (x * y) * T((x * y) \ y,z) = (x * T(x \ 1,z)) * y. [para(14(a,1),1100(a,1,2,1,2))]. 1121 T(x * T(x \ y,z),x) = x * T(x \ T(y,x),z). [para(35(a,2),1118(a,1,2,1,2)),flip(a)]. 1122 x \ T(x * T(x \ y,z),x) = T(x \ T(y,x),z). [hyper(75,a,1121,a,b,xx)]. 1123 x \ T(x * T(y,z),x) = T(x \ T(x * y,x),z). [para(16(a,1),1122(a,1,2,1,2,1))]. 1125 x * (y * T(y \ (x \ y),z)) = (x * T(x \ 1,z)) * y. [hyper(189,a,713,a(flip),b,1119,a(flip)),flip(a)]. 1126 T(x,x * T(x \ 1,y)) = x. [hyper(147,a,569,a(flip),b,1119,a(flip))]. 1128 T(x,(x \ 1) * x) = x. [para(113(a,1),1126(a,1,2))]. 1129 T(x,K(x \ 1,x)) = x. [para(229(a,1),1126(a,1,2))]. 1130 (R(x,y,z) * (x * T(x \ 1,u))) / R(x,y,z) = x * T(x \ 1,u). [para(1126(a,1),175(a,1,2,1))]. 1131 R(x,(x * T(x \ 1,y)) / x,x) = T(x,(x * T(x \ 1,y)) / x). [para(1126(a,1),618(a,1,1))]. 1132 T(x \ 1,T(x,y) * (x \ 1)) = x \ 1. [para(326(a,1),1126(a,1,2))]. 1133 T(x \ 1,x \ T(x,y)) = x \ 1. [para(770(a,1),1126(a,1,2))]. 1134 T(1 / x,T(x,y) / x) = 1 / x. [para(792(a,1),1126(a,1,2))]. 1135 R(x,x \ 1,x) = T(x,x \ 1). [para(1128(a,1),615(a,1,1))]. 1136 K(x \ 1,x) * x = x * K(x \ 1,x). [para(1129(a,1),113(a,1,2))]. 1137 R(x,x \ 1,x) = (x \ 1) \ 1. [hyper(189,a,114,a(flip),b,1135,a)]. 1138 R(T(x,y),x \ 1,x) = T(T(x,x \ 1),y). [para(1135(a,1),45(a,2,1))]. 1139 x / K(x \ 1,x) = (x \ 1) \ 1. [hyper(189,a,401,a,b,1137,a(flip)),flip(a)]. 1140 T(x \ T(x,y),x \ 1) = x \ T(x,y). [hyper(38,a,1133,a)]. 1141 T((x * (1 / y)) / x,T(y,z) / y) = (x * (1 / y)) / x. [para(1134(a,1),330(a,1,1,2)),flip(a)]. 1142 ((x \ 1) \ 1) * K(x \ 1,x) = x. [para(1139(a,1),19(a,1,1))]. 1143 T(x,x \ 1) * K(x \ 1,x) = x. [hyper(465,a,1142,a)]. 1144 R(x \ 1,T(x,y),x \ 1) = T(x \ 1,T(x,y)). [para(1132(a,1),615(a,1,1))]. 1145 K(x \ 1,x) * x = 1 / (1 / x). [hyper(189,a,474,a(flip),b,1136,a)]. 1146 T((x * y) \ (y * x),y \ 1) = L(y \ T(y,x),y,x). [para(1140(a,1),585(a,1,1)),flip(a)]. 1147 K(x,y) = T((y * x) \ (x * y),x \ 1). [hyper(189,a,584,a,b,1146,a),flip(a)]. 1148 T(K(x,y),x \ 1) = K(x,y). [para(29(a,2),1147(a,2,1)),flip(a)]. 1149 T(x \ 1,K(x,y)) = x \ 1. [hyper(38,a,1148,a)]. 1150 T((x * y) \ x,K(y,z)) = L(y \ 1,y,x). [para(1149(a,1),280(a,2,1))]. 1151 T((x * y) \ x,K(y,z)) = (x * y) \ x. [hyper(189,a,140,a(flip),b,1150,a)]. 1152 T(K(x,y),(z * x) \ z) = K(x,y). [hyper(38,a,1151,a)]. 1153 T(K(x \ 1,y),x) = K(x \ 1,y). [para(121(a,1),1152(a,1,2))]. 1155 K(x \ 1,y) * x = x * K(x \ 1,y). [para(1153(a,1),113(a,1,2)),flip(a)]. 1156 (x * T(x \ 1,y)) * y = x * ((y \ (x \ y)) * y). [para(113(a,1),1125(a,1,2)),flip(a)]. 1157 (x \ 1) * ((x \ T(x,y)) * ((x \ 1) \ z)) = ((x \ 1) * T((x \ 1) \ 1,y)) * z. [para(918(a,2),1125(a,1,2))]. 1158 x * T(y * T(y \ 1,x),x) = y * ((x \ (y \ x)) * x). [hyper(206,a,1156,a)]. 1159 x * ((y \ z) * T((y \ z) \ (x \ z),u)) = (x * T(x \ y,u)) * (y \ z). [para(17(a,1),1117(a,1,2,2,1,2,2))]. 1160 (x * T(x \ (y / z),u)) * z = x * (z * T(z \ (x \ y),u)). [para(19(a,1),1117(a,1,2,2,1,2,2)),flip(a)]. 1161 ((x * y) * T((x * y) \ x,z)) * u = (x * y) * (u * T(u \ L(y \ u,y,x),z)). [para(104(a,2),1117(a,1,2,2,1,2)),flip(a)]. 1162 x * (y * T(y \ (x \ z),x)) = ((x \ (z / y)) * x) * y. [para(113(a,1),1160(a,1,1)),flip(a)]. 1163 (T((x / y) / z,u) * z) * y = z * (y * T(y \ (z \ x),u)). [para(323(a,2),1160(a,1,1))]. 1164 ((x / y) * K(y \ 1,y)) * y = x * (y * T(y \ (x \ x),y)). [para(842(a,2),1160(a,1,1))]. 1165 (x * y) * T((x * y) \ z,x) = ((x \ (z / y)) * x) * y. [hyper(189,a,713,a,b,1162,a(flip)),flip(a)]. 1166 ((x \ ((x * y) / z)) * x) * z = x * (z * T(z \ y,x)). [para(16(a,1),1162(a,1,2,2,1,2)),flip(a)]. 1167 ((x \ (x / y)) * x) * y = x * (y * T(y \ 1,x)). [para(59(a,1),1162(a,1,2,2,1,2)),flip(a)]. 1168 ((x \ (y / y)) * x) * y = x * (K(x \ 1,x) * (x \ y)). [para(910(a,2),1162(a,1,2)),flip(a)]. 1169 x * ((y \ x) * T((y \ x) \ 1,x)) = ((x \ y) * x) * (y \ x). [para(67(a,1),1167(a,1,1,1,2)),flip(a)]. 1170 x * (x * T(x \ T(y,x),x)) = ((x \ y) * x) * x. [para(143(a,1),1166(a,1,1,1,2)),flip(a)]. 1171 x * ((x \ T(y,x)) * x) = ((x \ y) * x) * x. [para(113(a,1),1170(a,1,2))]. 1172 T((x \ y) * x,x) = (x \ T(y,x)) * x. [hyper(148,a,1171,a)]. 1173 T(x,y) \ T((y \ x) * y,y) = K(y \ T(x,y),y). [hyper(75,a,1172,a,b,213,a)]. 1174 x * (T((x \ y) * x,x) / x) = T(y,x). [para(1172(a,2),66(a,1,2,1))]. 1175 x * (T(y * x,x) / x) = T(x * y,x). [para(16(a,1),1174(a,1,2,1,1,1))]. 1176 T(x * (y / x),x) = x * (T(y,x) / x). [para(70(a,1),1174(a,1,2,1,1)),flip(a)]. 1177 T(x * ((1 / x) * y),x) = x * ((1 / x) * T(y,x)). [para(777(a,1),1175(a,1,2)),flip(a)]. 1178 x \ T(x * (y / x),x) = T(y,x) / x. [hyper(75,a,1176,a,b,xx)]. 1180 x \ T(x * T((x * y) / x,z),x) = T(x * T(y,z),x) / x. [para(330(a,1),1178(a,1,2,1,2))]. 1181 x \ T(x * L((x * y) / x,z,u),x) = T(x * L(y,z,u),x) / x. [para(662(a,2),1178(a,1,2,1,2))]. 1182 x \ T(x * T(y / x,z),x) = T(T(y,x) / x,z). [para(1178(a,1),1123(a,2,1))]. 1183 T(x * y,x) \ T(y * x,x) = K(x \ T(x * y,x),x). [para(16(a,1),1173(a,1,2,1,1))]. 1184 T(x * ((1 / x) * ((1 / x) \ (x \ (y * (1 / x))))),x) = (x * T(x \ y,x)) * (1 / x). [hyper(189,a,1117,a(flip),b,1177,a)]. 1185 T(x * T(y / x,z),x) = x * T(T(y,x) / x,z). [para(1182(a,1),17(a,1,2)),flip(a)]. 1186 T(x * T(1 / x,y),x) = x * T(1 / x,y). [para(191(a,1),1185(a,2,2,1,1))]. 1187 x \ T(x * T(y / x,z),x) != u | T(T(y,x) / x,z) = u. [para(1185(a,2),237(a,1,2)),flip(b)]. 1188 x * (K(x \ 1,x) * (x \ y)) = ((x \ 1) * x) * y. [para(64(a,1),1168(a,1,1,1,2)),flip(a)]. 1190 x * (K(x \ 1,x) * (x \ y)) = K(x \ 1,x) * y. [para(165(a,2),1188(a,2,1))]. 1191 K(x \ 1,x) * (x * y) = x * (K(x \ 1,x) * y). [para(16(a,1),1190(a,1,2,2)),flip(a)]. 1192 x * (K(x \ 1,x) * T(y,x)) = K(x \ 1,x) * (y * x). [para(35(a,2),1190(a,1,2,2))]. 1193 (K(x \ 1,x) * y) \ (x * (K(x \ 1,x) * y)) = L(T(x,y),y,K(x \ 1,x)). [para(1191(a,1),154(a,1,2))]. 1194 ((x / y) * K(y \ 1,y)) * y = x * (y * T(y \ 1,y)). [para(59(a,1),1164(a,2,2,2,1,2))]. 1196 ((x / y) * K(y \ 1,y)) * y = x * ((y \ 1) * y). [para(113(a,1),1194(a,2,2))]. 1197 ((x / y) * K(y \ 1,y)) * y = x * K(y \ 1,y). [para(229(a,1),1194(a,2,2))]. 1198 (1 / x) * K(x \ 1,x) = x \ 1. [hyper(21,a,14,a(flip),b,1196,a)]. 1199 (x \ 1) \ ((1 / x) * (K(x \ 1,x) * y)) = L(y,K(x \ 1,x),1 / x). [para(1198(a,1),31(a,2,1)),flip(a)]. 1200 (1 / x) * ((x \ 1) * x) = x \ 1. [para(165(a,1),1198(a,1,2))]. 1201 (1 / x) \ (x \ 1) != y | K(x \ 1,x) = y. [para(1198(a,1),237(a,1,2)),flip(b)]. 1202 (1 / x) * (L(x \ 1,y,z) * x) = L(x \ 1,y,z). [para(1200(a,1),864(a,1,1)),flip(a)]. 1203 (x * y) \ x = (1 / y) * (L(y \ 1,y,x) * y). [hyper(189,a,140,a(flip),b,1202,a),flip(a)]. 1204 L((x \ y) \ 1,x \ y,x) * (x \ y) = (1 / (x \ y)) \ (y \ x). [hyper(75,a,276,a(flip),b,1202,a),flip(a)]. 1205 (1 / x) * (((y * x) \ y) * x) = (y * x) \ y. [para(140(a,1),1203(a,2,2,1)),flip(a)]. 1206 (1 / x) \ ((y * x) \ y) = ((y * x) \ y) * x. [hyper(80,a,1205,a)]. 1207 (1 / x) * ((((y * x) \ y) \ (((y * x) \ y) * x)) * ((y * x) \ y)) = ((1 / x) * T((1 / x) \ 1,(y * x) \ y)) * ((y * x) \ y). [para(1206(a,1),1156(a,2,2,1,2)),flip(a)]. 1208 ((x \ y) * x) * (y \ x) = x * (y \ ((x \ y) * x)). [para(1072(a,1),1169(a,1,2)),flip(a)]. 1209 ((x \ y) * x) * (y \ x) = x * K(x \ y,x). [para(96(a,1),1208(a,2,2))]. 1210 (x * y) * ((y * x) \ y) = y * K(y \ (y * x),y). [para(16(a,1),1209(a,1,1,1))]. 1211 (x * y) * ((y * x) \ y) = y * K(x,y). [para(16(a,1),1210(a,2,2,1))]. 1213 K(x \ (x * y),x) = K(y,x). [hyper(20,a,1210,a(flip),b,1211,a(flip)),flip(a)]. 1214 (x * y) * L(x \ 1,x,y) = y * K(x,y). [para(140(a,2),1211(a,1,2))]. 1215 K(x \ (x * y),z) = K(y,z). [para(60(a,1),1213(a,1,1)),flip(a)]. 1216 K((x / y) \ x,z) = K(y,z). [para(19(a,1),1215(a,1,1,2))]. 1218 T(x * T(y,z),x) / x = T(T(x * y,x) / x,z). [hyper(1187,a,1180,a),flip(a)]. 1219 (L(x,y,z) * (z * y)) \ (x * (z * y)) = a(z,y,T(x,z * y)). [para(498(a,1),151(a,1,1))]. 1220 (L(x,y \ z,y) * z) \ (x * (y * (y \ z))) = a(y,y \ z,T(x,y * (y \ z))). [para(17(a,1),1219(a,1,1,2))]. 1221 R(x * (y \ 1),z,u) / (y \ 1) = y * R(y \ x,z,u). [hyper(76,a,464,a(flip),b,665,a)]. 1222 x * R(x \ (y / (x \ 1)),z,u) = R(y,z,u) / (x \ 1). [para(19(a,1),1221(a,1,1,1)),flip(a)]. 1223 x * ((x \ y) * ((z * ((x \ y) \ u)) / z)) = y * ((z * (y \ (x * u))) / z). [para(694(a,1),344(a,1,2)),flip(a)]. 1224 x * L(R(T(y,x),z,z \ x),u,w) = (L(y,u,w) * z) * (z \ x). [para(47(a,1),737(a,1,2))]. 1225 K(x \ (x / y),x) != z | y * T(y \ 1,x) = z. [para(320(a,1),841(a,1))]. 1226 T(x,y) / x != z | (1 / x) * T((1 / x) \ 1,y) = z. [para(889(a,1),1225(a,1))]. 1227 R((1 / x) * ((y * x) / y),x,x \ y) = (1 / x) * ((T(y,x) / y) * x). [para(1027(a,2),856(a,1,2,1,1)),flip(a)]. 1228 T(x,(x * T(x \ 1,y)) / x) = R(x,T(1 / x,y),x). [para(328(a,1),1131(a,1,2)),flip(a)]. 1229 R(x,T(1 / x,y),x) = T(x,T(1 / x,y)). [para(328(a,1),1228(a,1,2)),flip(a)]. 1230 R(R(x,y,z),T(1 / x,u),x) = R(T(x,T(1 / x,u)),y,z). [para(1229(a,1),49(a,1,1)),flip(a)]. 1231 T(x,T(1 / x,y)) * T(T(1 / x,y),x) = T(x * T(1 / x,y),x). [para(1229(a,1),930(a,1,1))]. 1232 (1 / (x \ y)) \ (y \ x) = (y \ x) * (x \ y). [para(276(a,1),1204(a,1,1)),flip(a)]. 1233 (1 / (x \ y)) * ((y \ x) * (x \ y)) = y \ x. [para(1232(a,1),17(a,1,2))]. 1234 (1 / ((x * y) \ x)) * ((x \ (x * y)) * ((x * y) \ x)) = y. [hyper(189,a,16,a(flip),b,1233,a)]. 1235 T(1 / (x \ y),(y \ x) * (x \ y)) = ((y \ x) * (x \ y)) \ (y \ x). [hyper(147,a,1233,a,b,17,a)]. 1237 (1 / ((x * y) \ x)) * (y * ((x * y) \ x)) = y. [para(16(a,1),1234(a,1,2,1))]. 1238 (L(1 / x,y,z) * x) * (x \ u) = u * L(u \ (x \ u),y,z). [para(723(a,1),1224(a,1,2,1)),flip(a)]. 1239 (x * L(x \ 1,y,z)) * (x \ u) = u * L(u \ (x \ u),y,z). [para(502(a,1),1238(a,1,1))]. 1240 (x * L(x \ (y \ x),z,u)) / (y \ x) = y * L(y \ 1,z,u). [hyper(88,a,1239,a)]. 1241 (((x * y) * z) * L(((x * y) * z) \ (y * z),u,w)) / (R(x,y,z) \ ((x * y) * z)) = R(x,y,z) * L(R(x,y,z) \ 1,u,w). [para(133(a,1),1240(a,1,1,2,1,2))]. 1242 ((x \ (y / (x \ z))) * x) * (x \ z) = T(y / z,x) * z. [para(17(a,1),605(a,2,1,1,2))]. 1243 ((x \ (y / (x \ z))) * x) * (x \ z) = z * T(z \ y,x). [hyper(189,a,323,a(flip),b,1242,a)]. 1244 ((x \ y) * x) * (x \ z) = z * T(z \ (y * (x \ z)),x). [para(18(a,1),1243(a,1,1,1,2))]. 1245 K(x \ 1,x) * R(((x \ 1) * x) \ y,z,u) = (x \ 1) * (x * R(x \ ((x \ 1) \ y),z,u)). [para(165(a,2),810(a,1,1))]. 1246 (L((x * y) / x,z,u) * x) * y = (x * y) * L(y,z,u). [hyper(690,a,815,a),flip(a)]. 1247 (x * y) * L((x * y) \ (z * y),u,w) = (L(z / x,u,w) * x) * y. [hyper(673,a,815,a)]. 1248 (x * L(y,z,u)) * y = (x * y) * L(y,z,u). [para(503(a,1),1246(a,1,1))]. 1249 ((x / L(y,z,u)) * y) \ (x * y) = L(y,z,u). [hyper(430,a,1248,a)]. 1250 (1 / L(x,y,z)) * x = x / L(x,y,z). [hyper(423,a,1248,a),flip(a)]. 1251 (x * L(x \ 1,y,z)) * (x \ 1) = L(x \ 1,y,z). [hyper(189,a,61,a(flip),b,1248,a)]. 1252 (x * L(y,z,u)) \ ((x * y) * L(y,z,u)) = y. [hyper(80,a,1248,a)]. 1253 (x * L(y,z,u)) / y = (x / y) * L(y,z,u). [hyper(76,a,90,a(flip),b,1248,a)]. 1254 (1 / x) * L(x,y,z) = L(x,y,z) / x. [hyper(76,a,68,a(flip),b,1248,a),flip(a)]. 1255 (x * (y * L(x,z,u))) \ ((y * x) * L(x,z,u)) = K(y * L(x,z,u),x). [hyper(75,a,1248,a(flip),b,95,a)]. 1256 ((x * y) * L(y,z,u)) \ (y * (x * L(y,z,u))) != w | K(y,x * L(y,z,u)) = w. [para(1248(a,1),240(a,1,1))]. 1258 T(1 / L(x,y,z),x) = x \ (x / L(x,y,z)). [hyper(147,a,1250,a,b,17,a)]. 1259 (x / L(x,y,z)) / x = 1 / L(x,y,z). [hyper(88,a,1250,a)]. 1261 (L(x,y,z) / x) / L(x,y,z) = 1 / x. [hyper(88,a,1254,a)]. 1262 L(L(x,y,z) \ u,L(x,y,z),1 / x) = (L(x,y,z) / x) \ ((1 / x) * u). [para(1254(a,1),104(a,2,1))]. 1263 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(1254(a,1),563(a,1,2))]. 1264 (1 / L(x,y,z)) * x != u | x / L(x,y,z) = u. [para(1259(a,1),200(a,1,1)),flip(b)]. 1265 (x * y) / L(y,z,u) != w | (x / L(y,z,u)) * y = w. [para(1249(a,1),246(a,1,2)),flip(b)]. 1266 L(x,y,z) = ((z * y) * x) \ ((z * (y * x)) * x). [para(128(a,1),1249(a,1,1,1)),flip(a)]. 1267 R(T(x,y * L(x,z,u)),y,L(x,z,u)) = T(x,y). [para(1252(a,1),832(a,1,1)),flip(a)]. 1268 ((x * y) / z) * L(z,y,x) = (x * (y * z)) / z. [para(102(a,1),1253(a,1,1)),flip(a)]. 1269 T(x \ (x / L(x,y,z)),L(x,y,z)) = T(L(x,y,z) \ 1,x). [para(1258(a,1),161(a,1,1))]. 1270 (x * L(y,z,u)) * T(y,x) = (y * x) * L(y,z,u). [para(1267(a,1),505(a,1,2))]. 1271 ((x * y) * L(x,z,u)) / T(x,y) = y * L(x,z,u). [para(1267(a,1),506(a,1,2))]. 1272 (x * y) / L(z,y,R(x,y,z)) = (R(x,y,z) * y) / z. [hyper(410,a,1268,a(flip))]. 1273 (x * (y * z)) / z != L(z,y,x) * u | T((x * y) / z,L(z,y,x)) = u. [para(1268(a,1),148(a,2)),flip(a)]. 1274 (x * ((y * x) \ y)) * (x \ 1) = L(x \ 1,x,y). [para(140(a,1),1251(a,1,1,2))]. 1275 (x * ((y * x) \ y)) * (x \ 1) = (y * x) \ y. [hyper(189,a,140,a(flip),b,1274,a)]. 1276 L(x \ 1,x,y) \ ((x \ 1) * (x * ((y * x) \ y))) = K(x \ 1,x * ((y * x) \ y)). [para(1274(a,1),29(a,2,1)),flip(a)]. 1277 ((x * y) \ x) * z != (y \ 1) * (y * ((x * y) \ x)) | K(y \ 1,y * ((x * y) \ x)) = z. [para(1275(a,1),215(a,1,1))]. 1278 T(x,y) \ ((x * y) * L(x,z,u)) = T(y * L(x,z,u),T(x,y)). [hyper(147,a,1270,a,b,17,a),flip(a)]. 1279 (x * L(y,z,u)) / T(y,y \ x) = (y \ x) * L(y,z,u). [hyper(76,a,91,a(flip),b,1270,a)]. 1281 ((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(110(a,1),831(a,1,2))]. 1282 T(1 / x,(y / (x * y)) * x) != z | L(x \ 1,x,y / (x * y)) = z. [para(863(a,1),310(a,1))]. 1283 x \ R(x * (y * (x \ 1)),z,u) = R(y,z,u) * (x \ 1). [hyper(189,a,160,a(flip),b,866,a)]. 1284 x \ R(x * (x \ T(y,x \ 1)),z,u) = R((x \ 1) \ (x \ y),z,u) * (x \ 1). [para(783(a,1),1283(a,1,2,1,2))]. 1285 (1 / x) * L((1 / x) \ y,z,u) = L(y * x,z,u) / x. [para(69(a,1),914(a,1,2)),flip(a)]. 1286 (1 / x) * L((1 / x) \ 1,y,z) = L(x,y,z) / x. [para(14(a,1),1285(a,2,1,1))]. 1287 L(T(x,y),y,R(x,z,u)) = T(x,R(x,z,u) * y). [hyper(238,a,928,a),flip(a)]. 1288 x \ (y * L(y \ (x * z),u,w)) = (x \ y) * L((x \ y) \ z,u,w). [hyper(80,a,931,a)]. 1289 (x / y) * (y * L(y \ ((x / y) \ z),u,w)) = x * L(x \ z,u,w). [para(17(a,1),933(a,2,2,1,2))]. 1290 x \ (y * R(y \ (x * z),u,w)) = (x \ y) * R((x \ y) \ z,u,w). [hyper(80,a,934,a)]. 1291 (x / y) \ (x * ((z * (x \ (x / y))) / z)) = y * ((z * (y \ 1)) / z). [hyper(80,a,938,a)]. 1292 ((x * (1 / (1 / T(y,x)))) / x) \ (y / T(y,x)) = 1 / T(y,x). [para(993(a,1),957(a,1,2))]. 1293 L(T(x,y),y,L(x,z,u)) = T(x,L(x,z,u) * y). [hyper(238,a,967,a),flip(a)]. 1294 x * T(y,L(y,z,u) * x) = L(y,x,L(y,z,u)) * x. [para(1293(a,1),159(a,1,2))]. 1295 T((x * y) / x,L(y,z,u) * x) = L(y,x,L(y,z,u)). [hyper(331,a,1294,a)]. 1296 (((x * y) / x) * (y \ 1)) * x = T(x,R(y,y \ 1,x)). [hyper(699,a,1033,a)]. 1297 (x \ ((y * x) / y)) * y = T(y,R(x,x \ 1,y)). [para(1106(a,1),1296(a,1,1))]. 1298 T(x,R(y,y \ 1,x)) / x = y \ ((x * y) / x). [hyper(88,a,1297,a)]. 1299 T(x,R(T(y,x),T(y,x) \ 1,x)) = (T(y,x) \ y) * x. [para(143(a,1),1297(a,1,1,2)),flip(a)]. 1300 T(x,R(y,y \ 1,x)) / x != z | y \ ((x * y) / x) = z. [para(1297(a,1),248(a,1,1)),flip(b)]. 1301 (1 / x) \ ((y * (1 / x)) / y) = T(y,R(1 / x,x,y)) / y. [para(69(a,1),1298(a,1,1,2,2)),flip(a)]. 1302 T(1 / x,T(x,R(y,y \ 1,x))) = L(x \ 1,x,y \ ((x * y) / x)). [para(1298(a,1),801(a,1,3)),flip(a)]. 1303 T(x,R(1 / y,y,x)) / x = y * ((x * (y \ 1)) / x). [hyper(189,a,1099,a(flip),b,1301,a(flip))]. 1304 (x * ((y * (x \ 1)) / y)) * y = T(y,R(1 / x,x,y)). [para(1303(a,1),19(a,1,1))]. 1305 (T(x,y) * ((T(x,y) \ x) / x)) * x = T(x,R(1 / T(x,y),T(x,y),x)). [para(987(a,1),1304(a,1,1,2,1))]. 1306 ((x \ y) \ y) * (T(x,z) \ 1) = T(x,z) \ ((x \ y) \ y). [para(67(a,1),1103(a,1,1,1)),flip(a)]. 1307 ((x \ y) \ y) * (x \ (T(x,z) \ 1)) = x \ (T(x,z) \ ((x \ y) \ y)). [para(1306(a,1),1063(a,1,2)),flip(a)]. 1308 (x * (R(x,y,z) * T(x \ 1,u))) / R(x,y,z) = x * T(x \ 1,u). [para(922(a,1),1130(a,1,1))]. 1309 T(x,T(1 / x,y)) * T(x \ 1,y) = T(x * T(1 / x,y),x). [para(161(a,1),1231(a,1,2))]. 1310 T(x,T(1 / x,y)) * T(x \ 1,y) = x * T(1 / x,y). [hyper(189,a,1186,a(flip),b,1309,a)]. 1311 (L((x / y) / z,u,w) * z) * y = (z * y) * L((z * y) \ x,u,w). [para(19(a,1),1247(a,1,2,1,2)),flip(a)]. 1312 (x \ y) * L((x \ y) \ 1,z,u) = x \ (y * L(y \ x,z,u)). [para(15(a,1),1288(a,1,2,2,1,2)),flip(a)]. 1313 (x \ y) * L((x \ y) \ (x \ z),u,w) = x \ (y * L(y \ z,u,w)). [para(17(a,1),1288(a,1,2,2,1,2)),flip(a)]. 1314 (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(31(a,2),1312(a,1,1)),flip(a)]. 1315 (x \ y) * R((x \ y) \ 1,z,u) = x \ (y * R(y \ x,z,u)). [para(15(a,1),1290(a,1,2,2,1,2)),flip(a)]. 1316 (x * y) \ ((x * (y * z)) * R((x * (y * z)) \ (x * y),u,w)) = L(z,y,x) * R(((x * y) \ (x * (y * z))) \ 1,u,w). [para(31(a,2),1315(a,1,1)),flip(a)]. 1317 x \ ((y * x) * R((y * x) \ x,z,u)) = T(y,x) * R((x \ (y * x)) \ 1,z,u). [para(35(a,2),1315(a,1,1)),flip(a)]. 1318 (x / y) \ (x * ((x / y) / x)) = y * ((x * (y \ 1)) / x). [para(17(a,1),1291(a,1,2,2,1))]. 1319 K(x,(x / y) / x) = y * ((x * (y \ 1)) / x). [hyper(338,a,1318,a)]. 1320 x * ((y * (x \ 1)) / y) != z | K(y,(y / x) / y) = z. [para(1318(a,1),338(a,1))]. 1321 (x \ y) * ((y * ((x \ y) \ 1)) / y) = K(y,x / y). [para(67(a,1),1319(a,1,2,1)),flip(a)]. 1322 x * ((T(x,y) * (x \ 1)) / T(x,y)) = K(T(x,y),1 / x). [para(795(a,1),1319(a,1,2)),flip(a)]. 1323 x * ((R(x,y,z) * (x \ 1)) / R(x,y,z)) = K(R(x,y,z),1 / x). [para(878(a,1),1319(a,1,2)),flip(a)]. 1324 T(x,y) * ((T(x,z) * (T(x,y) \ 1)) / T(x,z)) = K(T(x,z),1 / T(x,y)). [para(1023(a,1),1319(a,1,2)),flip(a)]. 1325 x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = K(L(x,y,z),1 / x). [para(1261(a,1),1319(a,1,2)),flip(a)]. 1326 x * (((x \ 1) * T((x \ 1) \ 1,y)) / T(x,y)) = K(T(x,y),1 / x). [para(326(a,2),1322(a,1,2,1))]. 1327 x * ((x \ R(x,y,z)) / R(x,y,z)) = K(R(x,y,z),1 / x). [para(867(a,1),1323(a,1,2,1))]. 1328 (x * ((x \ 1) * R(x,y,z))) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). [para(113(a,1),1308(a,1,1,2))]. 1329 (L((x / y) / z,u,w) * z) * y = z * (y * L(y \ (z \ x),u,w)). [hyper(189,a,811,a(flip),b,1311,a)]. 1330 T(x,y) * L((y \ (x * y)) \ (y \ z),u,w) = y \ ((x * y) * L((x * y) \ z,u,w)). [para(35(a,2),1313(a,1,1))]. 1331 (x * L(x \ (y / z),u,w)) * z = x * (z * L(z \ (x \ y),u,w)). [para(502(a,1),1329(a,1,1))]. 1332 (x * (y * L(y \ (x \ z),u,w))) / y = x * L(x \ (z / y),u,w). [hyper(88,a,1331,a)]. 1333 (x / y) * L((x / y) \ (z / y),u,w) = (x * L(x \ z,u,w)) / y. [hyper(76,a,1289,a(flip),b,1331,a),flip(a)]. 1334 x * (y * L(y \ (x \ (z * y)),u,w)) = (x * L(x \ z,u,w)) * y. [para(18(a,1),1331(a,1,1,2,1,2)),flip(a)]. 1335 x * (y * L(y \ (x \ y),z,u)) = (x * L(x \ 1,z,u)) * y. [para(64(a,1),1331(a,1,1,2,1,2)),flip(a)]. 1336 x \ (y * (x * L(x \ (y \ z),u,w))) != v5 | T(y * L(y \ (z / x),u,w),x) = v5. [para(1331(a,1),238(a,1,2))]. 1337 (x * y) * L((x * y) \ y,z,u) = (x * L(x \ 1,z,u)) * y. [hyper(189,a,811,a,b,1335,a(flip)),flip(a)]. 1338 x * ((x * y) * L((x * y) \ y,z,u)) = (x * L(x \ 1,z,u)) * (x * y). [para(16(a,1),1335(a,1,2,2,1,2))]. 1339 T(x,x * L(x \ 1,y,z)) = x. [hyper(147,a,709,a(flip),b,1337,a(flip))]. 1340 T(x * L(x \ 1,T(x,y),y),y) = T(x,y) * ((x * y) \ y). [hyper(147,a,1337,a(flip),b,353,a(flip))]. 1342 K(x,x * L(x \ 1,y,z)) = 1. [hyper(39,a,1339,a)]. 1343 T(x \ y,(x \ y) * (y \ x)) = x \ y. [para(276(a,1),1339(a,1,2,2))]. 1344 T(x \ 1,x \ L(x,y,z)) = x \ 1. [para(854(a,1),1339(a,1,2))]. 1345 T(1 / x,L(x,y,z) / x) = 1 / x. [para(1286(a,1),1339(a,1,2))]. 1346 T(x \ 1,L(x,y,z) * (x \ 1)) = x \ 1. [para(962(a,2),1344(a,1,2))]. 1347 T((x * (1 / y)) / x,L(y,z,u) / y) = (x * (1 / y)) / x. [para(1345(a,1),330(a,1,1,2)),flip(a)]. 1348 R(x \ 1,L(x,y,z),x \ 1) = T(x \ 1,L(x,y,z)). [para(1346(a,1),615(a,1,1))]. 1349 (x * (y * L(y \ (x \ x),z,u))) / y = (x / y) * (y * L(y \ 1,z,u)). [hyper(189,a,932,a,b,1332,a)]. 1350 x * L(x \ (x \ (y * x)),z,u) = T(x * L(x \ y,z,u),x). [hyper(148,a,1334,a),flip(a)]. 1351 ((x * y) * L((x * y) \ x,z,u)) * y = (x * y) * (y * L(y \ 1,z,u)). [para(59(a,1),1334(a,1,2,2,1,2)),flip(a)]. 1352 T(x * L(x \ y,z,u),x) = x * L(x \ T(y,x),z,u). [para(35(a,2),1350(a,1,2,1,2)),flip(a)]. 1353 x \ T(x * L(x \ y,z,u),x) = L(x \ T(y,x),z,u). [hyper(75,a,1352,a,b,xx)]. 1354 L(x \ T(x * y,x),z,u) = x \ T(x * L(y,z,u),x). [para(16(a,1),1353(a,1,2,1,2,1)),flip(a)]. 1356 x \ T(x * L(y / x,z,u),x) = L(T(y,x) / x,z,u). [para(1178(a,1),1354(a,1,1)),flip(a)]. 1357 L(T(x * y,x) / x,z,u) = T(x * L(y,z,u),x) / x. [hyper(189,a,1181,a(flip),b,1356,a(flip))]. 1358 ((T(x,y) * (x \ 1)) * x) * L(z,(x \ 1) * x,T(T(x,x \ 1),y)) = R(T(x,y),x \ 1,x) * (((x \ 1) * x) * z). [para(1138(a,1),389(a,1,2,3))]. 1359 ((x * (y * (z \ 1))) / x) / (z \ 1) = z * ((x * (z \ y)) / x). [para(698(a,1),758(a,1,1))]. 1360 ((x * (y * ((1 / z) \ 1))) / x) / z = (1 / z) * ((x * ((1 / z) \ y)) / x). [para(69(a,1),1359(a,1,2))]. 1361 T(R(T(x,x * y),y,y \ 1) / (y \ 1),(x * y) * (y \ 1)) = x * y. [para(45(a,2),1052(a,1,1,1))]. 1362 (1 / x) * ((x \ 1) \ (K(x \ 1,x) * y)) = L(y,K(x \ 1,x),1 / x). [hyper(189,a,1086,a(flip),b,1199,a(flip)),flip(a)]. 1363 (x * (y * (1 / (1 / x)))) \ ((y * x) * L(x,x \ 1,x)) = K(y * L(x,x \ 1,x),x). [para(472(a,1),1255(a,1,1,2,2))]. 1364 (T(x,y) * ((T(x,y) \ x) / x)) * x = T(x,(1 * x) / (x * T(x,y))). [para(394(a,1),1305(a,2,2))]. 1365 (T(x,y) * ((T(x,y) \ x) / x)) * x = T(x,x / (x * T(x,y))). [para(14(a,1),1364(a,2,2,1))]. 1366 L(R(x,y,z),x \ 1,x) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). [para(166(a,1),1328(a,1,1))]. 1367 R(1 / (1 / x),y,z) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). [para(475(a,1),1366(a,1,1))]. 1368 T(T(x,x * y) * y,(x * y) * (y \ 1)) = x * y. [para(373(a,1),1361(a,1,1))]. 1369 T(T(x,x * y) * y,R(x,y,y \ 1)) = x * y. [para(369(a,1),1368(a,1,2))]. 1370 T(T(T(x,x * y) * y,z),R(x,y,y \ 1)) = T(x * y,z). [para(1369(a,1),41(a,1,1)),flip(a)]. 1371 L(L(x,y,y \ 1),K(y \ 1,y),1 / y) = (1 / y) * ((y \ 1) \ ((y \ 1) * (y * x))). [para(354(a,1),1362(a,1,2,2)),flip(a)]. 1372 x * (T(y,x) * T(T(y,x) \ 1,z)) = (y * x) * T((y * x) \ x,z). [para(113(a,1),714(a,1,2,1,1)),flip(a)]. 1373 T(x,y) * T(T(x,y) \ 1,z) = T(x * T(x \ 1,z),y). [hyper(147,a,1119,a(flip),b,1372,a),flip(a)]. 1374 T(x * T(x \ 1,y),z) = K(y \ (y / T(x,z)),y). [hyper(888,a,1373,a),flip(a)]. 1375 T(x,y) \ T(x * T(x \ 1,z),y) = T(T(x,y) \ 1,z). [hyper(80,a,1373,a)]. 1376 (x \ (x / T(x,y))) * T(x,y) = T(x * T(x \ 1,x),y). [hyper(189,a,1005,a(flip),b,1373,a(flip)),flip(a)]. 1377 T(x * T(x \ 1,T(x,y)),y) != z * T(x,y) | T(x,y) \ 1 = z. [para(1373(a,1),149(a,1)),flip(b)]. 1378 T(x \ T(x,y),z) = K(y \ (y / T(x \ 1,z)),y). [para(770(a,1),1374(a,1,1))]. 1379 K(x \ (x / T(L(y \ 1,y,x),z)),x) = T(K(y,x),z). [para(906(a,2),1374(a,1,1)),flip(a)]. 1380 T(K(x,y),L(x \ 1,x,y) \ z) = K(y \ (y / ((L(x \ 1,x,y) \ z) \ z)),y). [para(114(a,1),1379(a,1,1,2,2)),flip(a)]. 1381 T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ T(x * (x \ 1),y). [para(1133(a,1),1375(a,1,2,1,2)),flip(a)]. 1382 (x \ (x / T(x,y))) * T(x,y) = T(K(x \ 1,x),y). [para(229(a,1),1376(a,2,1))]. 1383 T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ T(1,y). [para(17(a,1),1381(a,2,2,1))]. 1385 T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ 1. [para(191(a,1),1383(a,2,2))]. 1386 T(x \ T(x,y),T(x,z) \ 1) = x \ T(x,y). [hyper(38,a,1385,a)]. 1388 K(x \ T(x,y),T(x,z) \ 1) = 1. [hyper(39,a,1386,a)]. 1389 (1 / (x / y)) \ (y / x) = ((1 * y) / x) * (x / y). [hyper(828,a,858,a),flip(a)]. 1390 (1 / (x / y)) \ (y / x) = (y / x) * (x / y). [para(14(a,1),1389(a,2,1,1))]. 1391 (1 / (x / y)) * ((y / x) * (x / y)) = y / x. [para(1390(a,1),17(a,1,2))]. 1392 (1 / ((x \ y) / y)) * ((y / (x \ y)) * ((x \ y) / y)) = x. [hyper(189,a,67,a(flip),b,1391,a)]. 1393 (1 / ((x \ y) / y)) * (x * ((x \ y) / y)) = x. [para(67(a,1),1392(a,1,2,1))]. 1394 T(1 / ((x \ y) / y),x * ((x \ y) / y)) = (x * ((x \ y) / y)) \ x. [hyper(147,a,1393,a,b,17,a)]. 1397 (x * y) * ((z * ((x * y) \ (x * u))) / z) = x * (y * ((z * (y \ u)) / z)). [para(16(a,1),936(a,2,2,2,1,2,2))]. 1398 (x * y) * ((z * ((x * y) \ x)) / z) = x * (y * ((z * (y \ 1)) / z)). [para(59(a,1),936(a,2,2,2,1,2,2))]. 1399 x \ T(x,x / (x * y)) = y * ((x * (y \ 1)) / x). [hyper(1045,a,1398,a)]. 1400 x * (y * ((x * (y \ 1)) / x)) = T(x,x / (x * y)). [hyper(1044,a,1398,a),flip(a)]. 1401 (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(102(a,1),1398(a,1,1))]. 1402 x \ T(x,x / (x * y)) = K(x,(x / y) / x). [hyper(189,a,1319,a,b,1399,a)]. 1403 T(x,R(1 / y,y,x)) = (x \ T(x,x / (x * y))) * x. [para(1399(a,2),1304(a,1,1)),flip(a)]. 1404 x * K(x,(x / y) / x) = T(x,x / (x * y)). [para(1402(a,1),17(a,1,2))]. 1405 T(x,x / (x * (y \ x))) = x * K(x,y / x). [para(67(a,1),1404(a,1,2,2,1)),flip(a)]. 1406 T(x,R(y,x,(y * x) \ x)) = x * K(x,(y * x) / x). [para(109(a,2),1405(a,1,2))]. 1407 T(x,R(y,x,(y * x) \ x)) = x * K(x,y). [para(18(a,1),1406(a,2,2,2))]. 1408 (x * y) * T((x * y) \ (y * x),x) = y * L(x,T(x,y) \ x,T(x,y)). [para(1015(a,1),940(a,2,2))]. 1409 x * L(y,T(y,x) \ y,T(y,x)) = (y * x) * T(K(x,y),y). [para(29(a,2),1408(a,1,2,1)),flip(a)]. 1410 (x * y) * K(z \ (z / K(y,x)),z) = (y * x) * T(K(x,y),z). [para(29(a,2),1079(a,1,2,1)),flip(a)]. 1411 (x * y) * (K(y,x) * T(K(y,x) \ 1,z)) = (y * x) * T(K(x,y),z). [para(886(a,1),1410(a,1,2))]. 1412 (x * y) \ ((y * x) * T(K(x,y),z)) = K(y,x) * T(K(y,x) \ 1,z). [hyper(80,a,1411,a)]. 1413 K(((x \ y) * (y \ x)) \ (x \ y),(x \ y) * (y \ x)) = y \ (x * (x \ y)). [para(1343(a,1),1081(a,2,2,2))]. 1414 x * ((x \ y) * ((z * ((x \ y) \ 1)) / z)) = y * ((z * (y \ x)) / z). [para(15(a,1),1223(a,2,2,1,2,2))]. 1415 x * K(y,(y / (x \ z)) / y) = z * ((y * (z \ x)) / y). [para(1319(a,2),1414(a,1,2))]. 1416 (x * y) * ((z * ((x * y) \ y)) / z) = y * K(z,(z / T(x,y)) / z). [para(35(a,2),1415(a,1,2,2,1,2)),flip(a)]. 1417 T(x,y) * ((T(x,y) \ T(x,z)) / T(x,z)) = K(T(x,z),1 / T(x,y)). [para(1018(a,1),1324(a,1,2,1))]. 1418 (x * L(x \ 1,y,z)) * (x * u) = x * ((x * L(x \ 1,y,z)) * u). [para(1337(a,1),1338(a,1,2)),flip(a)]. 1419 (x \ 1) * (((x \ 1) * L((x \ 1) \ 1,y,z)) * u) = (x \ L(x,y,z)) * ((x \ 1) * u). [para(854(a,1),1418(a,1,1)),flip(a)]. 1420 (x * (y * L(y \ 1,z,u))) / y = (x / y) * (y * L(y \ 1,z,u)). [para(59(a,1),1349(a,1,1,2,2,1,2))]. 1422 (x * (y * L(y \ 1,z,u))) * y = (x * y) * (y * L(y \ 1,z,u)). [para(709(a,1),1351(a,1,1))]. 1423 (x * y) * (y * L(y \ 1,y,1 / y)) = (x * (y * (1 / y))) * y. [para(277(a,1),1422(a,1,1,2,2)),flip(a)]. 1424 (x * (y * (1 / y))) * y = (x * y) * (y * (1 / y)). [para(277(a,1),1423(a,1,2,2)),flip(a)]. 1425 (1 / x) * ((y * ((1 / x) \ z)) / y) = ((y * (z * x)) / y) / x. [para(69(a,1),1360(a,1,1,1,2,2)),flip(a)]. 1426 ((x * (x * y)) / x) / y = T(x,x / (1 / y)). [hyper(1044,a,1425,a),flip(a)]. 1427 (1 / x) * ((y * ((1 / x) \ 1)) / y) = ((y * x) / y) / x. [para(14(a,1),1425(a,2,1,1,2))]. 1428 T(x,x / (1 / (x \ y))) = ((x * y) / x) / (x \ y). [para(17(a,1),1426(a,1,1,1,2)),flip(a)]. 1429 R(T(x,x / (1 / y)),y,x) = (x * (x * y)) / (y * x). [para(1426(a,1),187(a,1,1))]. 1430 K(((x \ y) * (y \ x)) \ (x \ y),(x \ y) * (y \ x)) = 1. [hyper(189,a,201,a(flip),b,1413,a)]. 1432 T(1 / (x \ y),(y \ x) * (x \ y)) = 1 / (x \ y). [para(1430(a,1),845(a,1,1)),flip(a)]. 1433 ((x \ y) * (y \ x)) \ (x \ y) = 1 / (y \ x). [hyper(189,a,1235,a(flip),b,1432,a(flip)),flip(a)]. 1434 L((x \ y) \ 1,x \ y,y \ x) = 1 / (x \ y). [hyper(310,a,1433,a)]. 1435 (((x * y) \ x) * y) \ ((x * y) \ x) = 1 / (x \ (x * y)). [para(16(a,1),1433(a,1,1,2))]. 1436 L(((x * y) \ x) \ 1,(x * y) \ x,y) = 1 / ((x * y) \ x). [para(16(a,1),1434(a,1,3))]. 1437 (((x * y) \ x) * y) \ ((x * y) \ x) = 1 / y. [para(16(a,1),1435(a,2,2))]. 1438 L(x \ 1,x,(y * x) \ y) = 1 / x. [hyper(310,a,1437,a)]. 1439 (((x * y) \ x) * y) * (1 / y) = (x * y) \ x. [para(1437(a,1),17(a,1,2))]. 1440 ((x * y) \ x) / (1 / y) = ((x * y) \ x) * y. [para(1437(a,1),67(a,1,2))]. 1441 L(x \ 1,x,x \ 1) = 1 / x. [para(14(a,1),1438(a,1,3,1))]. 1442 L(x \ 1,x,y \ (y / x)) = 1 / x. [para(19(a,1),1438(a,1,3,1))]. 1443 L(T(x \ 1,y),x,x \ 1) = T(1 / x,y). [para(1441(a,1),43(a,2,1))]. 1444 x * L(x \ (y \ x),y,y \ 1) = (y * (1 / y)) * (y \ x). [para(1441(a,1),1239(a,1,1,2)),flip(a)]. 1445 x * (y * L(y \ (x \ y),x,x \ 1)) = (x * (1 / x)) * y. [para(1441(a,1),1335(a,2,1,2))]. 1446 (x \ (x / y)) / (1 / y) = (x \ (x / y)) * y. [para(1442(a,1),283(a,1,2))]. 1447 K(x \ 1,x) * T(1 / x,y) = (x \ 1) * (x * T(x \ 1,y)). [para(1443(a,1),354(a,1,2))]. 1448 K(((x * y) \ x) \ (((x * y) \ x) * y),(x * y) \ x) * y = T(y,(x * y) \ x). [para(1440(a,1),894(a,2,1,1,2)),flip(a)]. 1449 T(1 / T(x,y),x) / (1 / T(x,y)) = (x \ (x / T(x,y))) * T(x,y). [para(995(a,2),1446(a,1,1))]. 1450 (x * ((y * x) \ y)) \ x = 1 / ((y * x) \ y). [hyper(189,a,140,a(flip),b,1436,a(flip)),flip(a)]. 1451 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(1447(a,1),498(a,1,2))]. 1452 T(1 / T(x,y),x) / (1 / T(x,y)) = T(K(x \ 1,x),y). [hyper(189,a,1382,a(flip),b,1449,a)]. 1453 K(x \ (x / (1 / (1 / T(x,y)))),x) = T(K(x \ 1,x),y). [hyper(899,a,1452,a)]. 1454 T(K(x \ 1,x),y) * (1 / T(x,y)) = x \ (x / T(x,y)). [para(1453(a,1),1004(a,1,1))]. 1456 ((x / y) * T((x / y) \ z,u)) * y = T((z * y) / x,u) * x. [para(597(a,1),592(a,1,1)),flip(a)]. 1457 (x / y) * T((x / y) \ x,z) = (x * T(y,z)) / y. [hyper(76,a,325,a(flip),b,1456,a),flip(a)]. 1458 (x * T(x \ (y * z),u)) / z = (x / z) * T((x / z) \ y,u). [hyper(76,a,323,a(flip),b,1456,a)]. 1459 (x * T(y,z)) / y = (x / y) * T(y,z). [para(69(a,1),1457(a,1,2,1)),flip(a)]. 1460 ((x / T(y,z)) / y) * T(y,z) = x / y. [hyper(189,a,185,a(flip),b,1459,a(flip))]. 1461 ((x / y) * T(y,z)) * y = x * T(y,z). [para(1459(a,1),19(a,1,1))]. 1462 ((x / y) * T(y,z)) \ (x * T(y,z)) = y. [para(1459(a,1),69(a,1,1))]. 1463 (x / y) * T(y,x) = (y * x) / y. [para(113(a,1),1459(a,1,1)),flip(a)]. 1464 ((x \ y) * y) / (x \ y) = x * T(x \ y,y). [hyper(456,a,1463,a),flip(a)]. 1465 T(x,y) \ ((x * y) / x) = T(y / x,T(x,y)). [hyper(147,a,1463,a,b,17,a),flip(a)]. 1466 T(x,y) = (y / x) \ ((x * y) / x). [hyper(80,a,1463,a),flip(a)]. 1467 (x * (y * x)) / x = y * T(x,y * x). [para(18(a,1),1463(a,1,1)),flip(a)]. 1469 T(x,y) \ ((x * y) / x) != z | T(y / x,T(x,y)) = z. [para(1463(a,1),238(a,1,2))]. 1470 (L(x \ 1,x,y) * y) / L(x \ 1,x,y) = (y * x) * T(L(x \ 1,x,y),y). [para(283(a,1),1463(a,1,1)),flip(a)]. 1471 (L(x,1 / x,y) * y) / L(x,1 / x,y) = (y * (1 / x)) * T(L(x,1 / x,y),y). [para(311(a,1),1463(a,1,1)),flip(a)]. 1472 K(x \ (x / (x \ (x / y))),x) = x \ ((y * x) / y). [para(1463(a,1),1082(a,2,2))]. 1473 x \ ((y * (x * y)) / y) = T(y,x * y). [para(18(a,1),1466(a,2,1)),flip(a)]. 1474 (x * L(x \ (y * x),z,u)) / y = (x / y) * L(T(y,x),z,u). [para(1466(a,2),1333(a,1,2,1)),flip(a)]. 1475 ((x * (1 / T(x,y))) / x) * T(x,y) = T(x,T(x,y) \ 1) / x. [para(1065(a,1),1460(a,1,1,1))]. 1476 (x * T(y,z)) * y = (x * y) * T(y,z). [para(18(a,1),1461(a,1,1,1))]. 1478 (x * T(T(y,x),z)) * T(y,x) = (y * x) * T(T(y,x),z). [para(129(a,1),1461(a,1,1,1))]. 1479 (x * T(y,z)) \ ((x * y) * T(y,z)) = y. [para(18(a,1),1462(a,1,1,1))]. 1480 T(x * T(y,x * y),y) = x * y. [para(1467(a,1),142(a,1,1))]. 1481 x * T(y,x * y) != z | (y * (x * y)) / y = z. [para(1473(a,1),203(a,1,2)),flip(b)]. 1482 x * T(y,x * y) != z * u | ((y * (x * y)) / y) / u = z. [para(1473(a,1),298(a,1,2))]. 1483 (x * y) / T(y,z) = (x / T(y,z)) * y. [hyper(420,a,1476,a)]. 1484 ((x / T(y,z)) * y) * T(y,z) = x * y. [hyper(252,a,1476,a),flip(a)]. 1486 (x * (y / z)) * T(y / z,z) = (x * (z \ y)) * (y / z). [para(115(a,1),1476(a,1,1,2)),flip(a)]. 1487 R(T(x,y * T(x,z)),y,T(x,z)) = T(x,y). [para(1479(a,1),832(a,1,1)),flip(a)]. 1489 x * T(y,z) != u * y | (u / T(y,z)) * y = x. [para(1484(a,1),23(a,1)),flip(a)]. 1490 (x * y) / T(y,z) != u | (x / T(y,z)) * y = u. [para(1484(a,1),248(a,1,1)),flip(b)]. 1491 T(x,x / (x / T(y,x))) * T(y,x) = x * y. [para(1057(a,2),1484(a,1,1))]. 1492 R(T(x,L(x,y,x) * y),y,T(x,x * y)) = T(x,y). [para(559(a,1),1487(a,1,1,2))]. 1493 T(x,y * T(y \ x,x)) = x. [para(1464(a,1),180(a,1,2))]. 1494 T(x,x * (y * T(y \ 1,x))) = x. [para(569(a,1),1493(a,1,2))]. 1495 T(x,x * K(y,x)) = x. [para(903(a,2),1494(a,1,2,2))]. 1496 T(x,x * (y \ (z * T(z \ y,x)))) = x. [para(1071(a,1),1494(a,1,2,2))]. 1497 T(x * K(y,x),x) = x * K(y,x). [hyper(38,a,1495,a)]. 1498 T(x,x * (T(x,y) \ ((y \ x) * ((y \ x) \ x)))) = x. [para(1048(a,1),1496(a,1,2,2,2,2))]. 1499 (x \ y) \ K(T(x / y,T(y,x)),T(y,x)) = T((x \ y) \ 1,T(y,x)). [para(1465(a,1),1038(a,1,2,1))]. 1500 T(x,x / (x / T(y,x))) * (y * x) = x * (x * y). [para(1491(a,1),981(a,1,2)),flip(a)]. 1501 x / T(x,y) != z | (1 / T(x,y)) * x = z. [para(14(a,1),1490(a,1,1))]. 1502 T(x,x * (T(x,y) \ x)) = x. [para(17(a,1),1498(a,1,2,2,2))]. 1503 T(T(x,y),x * (T(x,z) \ x)) = T(x,y). [para(1502(a,1),41(a,1,1)),flip(a)]. 1504 (x * (T(x,y) \ x)) \ (x * x) = T(x,y). [hyper(189,a,999,a(flip),b,1503,a(flip)),flip(a)]. 1505 (x * x) / T(x,y) = x * (T(x,y) \ x). [para(1504(a,1),67(a,1,2))]. 1506 (x * (((T(y,x) \ y) * x) \ x)) \ (x * x) = T(x,R(T(y,x),T(y,x) \ 1,x)). [para(1299(a,1),1504(a,1,1,2,1))]. 1507 (x / T(x,y)) * x = x * (T(x,y) \ x). [hyper(1490,a,1505,a)]. 1508 T(x / T(x,y),x) = T(x,y) \ x. [hyper(147,a,1483,a(flip),b,1505,a(flip))]. 1509 T(((T(x,y) \ x) * x) / (T(x,y) \ x),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). [para(1505(a,2),563(a,1,2))]. 1510 T(x,y) * T(T(x,y) \ x,x) = (T(x,y) \ x) * T(x,y). [para(1508(a,1),323(a,1,1)),flip(a)]. 1511 T(x,x / (x / T(y,x))) = (x * (x * y)) / (y * x). [hyper(88,a,1500,a),flip(a)]. 1512 (x * (x * y)) / (y * x) = (x / T(y,x)) * y. [hyper(189,a,1057,a(flip),b,1511,a(flip))]. 1513 R(T(x,x / (1 / y)),y,x) = (x / T(y,x)) * y. [hyper(189,a,1429,a,b,1512,a(flip)),flip(a)]. 1514 (T(x,y) * z) * T(x,z) = (x * z) * T(T(x,z),y). [para(158(a,1),1478(a,1,1))]. 1515 T(T(x,x * y) * y,T(x,y)) = x * y. [hyper(147,a,1514,a,b,113,a(flip))]. 1516 T(T(x,x \ 1),y) / T(x,x \ 1) = T(x,y) * (x \ 1). [hyper(76,a,61,a(flip),b,1514,a)]. 1519 T(x * y,R(x,y,y \ 1)) = T(x * y,T(x,y)). [para(1515(a,1),1370(a,1,1))]. 1520 T((x / y) * y,T(x / y,y)) = T(x,R(x / y,y,y \ 1)). [para(19(a,1),1519(a,1,1)),flip(a)]. 1521 (x * (y / z)) * (z \ y) = (x * (z \ y)) * (y / z). [para(115(a,1),1486(a,1,2))]. 1522 (x * (y \ (y * z))) * ((y * z) / y) = (x * ((y * z) / y)) * z. [para(142(a,1),1486(a,1,2)),flip(a)]. 1523 (x * ((y / z) \ y)) * (y / (y / z)) = (x * (y / (y / z))) * z. [para(164(a,1),1486(a,1,2)),flip(a)]. 1524 (1 / (x / y)) * (y \ x) = (y \ x) / (x / y). [hyper(423,a,1521,a),flip(a)]. 1525 (x * (y \ z)) / (z / y) = (x / (z / y)) * (y \ z). [hyper(420,a,1521,a)]. 1526 (x \ y) \ ((x \ y) / (y / x)) = T(1 / (y / x),x \ y). [hyper(147,a,1524,a,b,17,a),flip(a)]. 1528 T(T(x,x \ 1),y) / T(x,x \ 1) = x \ T(x,y). [hyper(189,a,773,a(flip),b,1516,a)]. 1529 K(T(1 / (1 / x),x \ 1),x \ 1) = T(x,x \ 1) / x. [para(1526(a,1),889(a,1,1))]. 1530 T(x,x \ 1) / x = K(x,x \ 1). [para(952(a,1),1529(a,1,1)),flip(a)]. 1531 K(x,1 / x) = K(x,x \ 1). [hyper(602,a,1530,a)]. 1532 K(x,x \ 1) * x = T(x,x \ 1). [para(1530(a,1),19(a,1,1))]. 1533 ((x \ 1) \ 1) / x = K(x,x \ 1). [para(114(a,1),1530(a,1,1))]. 1535 K(x,x \ 1) = x * (1 / x). [hyper(305,a,1531,a),flip(a)]. 1536 K((x / y) \ x,1 / y) = K(y,y \ 1). [hyper(189,a,1216,a,b,1531,a(flip)),flip(a)]. 1537 x \ K(x,x \ 1) = 1 / x. [hyper(75,a,1531,a(flip),b,168,a(flip))]. 1538 K(x \ 1,(x \ 1) \ 1) = K(x \ 1,x). [para(67(a,1),1531(a,1,2)),flip(a)]. 1539 K(x,x \ 1) != y | x * (1 / x) = y. [para(1531(a,1),305(a,1))]. 1540 K(x,x \ 1) * x = (x \ 1) \ 1. [para(1531(a,1),492(a,1,1))]. 1541 (x \ 1) * K(x,x \ 1) = 1 / x. [para(1531(a,1),1091(a,1,2))]. 1542 T(x,y) \ K(x,x \ 1) != z | x * (T(x,y) \ (1 / x)) = z. [para(1531(a,1),1059(a,1,2))]. 1543 R(x \ 1,x,y) \ (((y / (x * y)) * x) * (1 / x)) = K(x,x \ 1). [hyper(189,a,1095,a,b,1535,a),flip(a)]. 1544 (1 / (1 / (1 / x))) * x = K(x,x \ 1). [hyper(189,a,955,a,b,1535,a),flip(a)]. 1545 K(x \ 1,x) \ 1 = x * (1 / x). [hyper(189,a,321,a,b,1535,a(flip)),flip(a)]. 1547 R(x,y,1 / y) * K(y,y \ 1) = (x * y) * (1 / y). [para(1535(a,2),110(a,1,2))]. 1548 K(x,x \ 1) * y != x * ((1 / x) * z) | L(z,1 / x,x) = y. [para(1535(a,2),346(a,1,1))]. 1550 (T((x / (1 / y)) / y,z) * y) * (1 / y) = T(x / (y * (1 / y)),z) * K(y,y \ 1). [para(1535(a,2),719(a,2,2))]. 1551 L(x,y,z) \ K(x,x \ 1) = x * (L(x,y,z) \ (1 / x)). [para(1535(a,2),963(a,1,2))]. 1552 (x * K(y,y \ 1)) * y = (x * y) * (y * (1 / y)). [para(1535(a,2),1424(a,1,1,2))]. 1553 x * L(x \ (y \ x),y,y \ 1) = K(y,y \ 1) * (y \ x). [para(1535(a,2),1444(a,2,1))]. 1554 x * (1 / x) != y | K(x,x \ 1) = y. [para(1537(a,1),203(a,1,2)),flip(b)]. 1555 x \ ((x / y) * K(y,y \ 1)) = L(1 / y,y,x / y). [para(1537(a,1),364(a,1,1)),flip(a)]. 1556 T(x,x \ 1) * y != K(x,x \ 1) * (x * z) | L(z,x,K(x,x \ 1)) = y. [para(1532(a,1),346(a,1,1))]. 1558 ((x \ 1) \ 1) / L(y \ x,y,K(x,x \ 1)) = K(x,x \ 1) * y. [para(1540(a,1),341(a,1,1))]. 1559 K(x,1 / x) != y | K(x,x \ 1) = y. [para(168(a,2),1554(a,1))]. 1560 (1 / (1 / (1 / x))) * x != y | K(x,x \ 1) = y. [para(955(a,2),1554(a,1))]. 1561 (K(x,x \ 1) * y) / (x * y) != z | R(1 / (1 / (1 / x)),x,y) = z. [para(1544(a,1),385(a,1,1,1))]. 1562 (x * K(y,y \ 1)) * y = (x * y) * K(y,y \ 1). [para(1535(a,2),1552(a,2,2))]. 1563 x \ ((y * x) * K(x,x \ 1)) = T(y * K(x,x \ 1),x). [hyper(147,a,1562,a,b,17,a),flip(a)]. 1564 (x * K(y,y \ 1)) \ ((x * y) * K(y,y \ 1)) = y. [hyper(80,a,1562,a)]. 1566 R(T(x,y * K(x,x \ 1)),y,K(x,x \ 1)) = T(x,y). [para(1564(a,1),832(a,1,1)),flip(a)]. 1567 T((x / y) * K(y,y \ 1),y) = y \ (x * K(y,y \ 1)). [para(19(a,1),1563(a,1,2,1)),flip(a)]. 1568 T((x / y) * y,T(x / y,y)) = T(x,x * (y \ 1)). [para(445(a,1),1520(a,2,2))]. 1569 T(x,T(x / y,y)) = T(x,x * (y \ 1)). [para(19(a,1),1568(a,1,1))]. 1570 T(x,x * (y \ 1)) = T(x,y \ x). [para(115(a,1),1569(a,1,2)),flip(a)]. 1571 x * (K(x,x \ 1) * (x \ y)) = (x * (1 / x)) * y. [para(1553(a,1),1445(a,1,2))]. 1572 K(x,x \ 1) * (x \ 1) = 1 / x. [hyper(20,a,15,a(flip),b,1571,a)]. 1573 x * (K(x,x \ 1) * (x \ y)) = K(x,x \ 1) * y. [para(1535(a,2),1571(a,2,1))]. 1574 (1 / x) / L(y,(x \ 1) / y,K(x,x \ 1)) = K(x,x \ 1) * ((x \ 1) / y). [para(1572(a,1),398(a,1,1))]. 1575 K(x,x \ 1) * (x * y) = x * (K(x,x \ 1) * y). [para(16(a,1),1573(a,1,2,2)),flip(a)]. 1576 (x \ 1) * (K(x \ 1,x) * ((x \ 1) \ y)) = K(x \ 1,(x \ 1) \ 1) * y. [para(1538(a,1),1573(a,1,2,1))]. 1577 K(x,x \ 1) * y != x * (K(x,x \ 1) * z) | x * z = y. [para(1575(a,1),22(a,1)),flip(a)]. 1578 (x / y) * T((x / y) \ 1,z) = (x * T(x \ y,z)) / y. [para(14(a,1),1458(a,1,1,2,1,2)),flip(a)]. 1579 (x / y) * T((x / y) \ z,x) = ((x \ (z * y)) * x) / y. [para(113(a,1),1458(a,1,1)),flip(a)]. 1580 ((x * y) / z) * T(((x * y) / z) \ x,u) = (x * (y * T(y \ z,u))) / z. [para(712(a,1),1458(a,1,1)),flip(a)]. 1581 ((x * T(y,z)) / T(y,z)) * T(((x * T(y,z)) / T(y,z)) \ (x * y),u) = ((x * T(y,z)) * T(y,u)) / T(y,z). [para(1479(a,1),1458(a,1,1,2,1)),flip(a)]. 1582 K(x \ (x / (y / z)),x) = (y * T(y \ z,x)) / z. [hyper(888,a,1578,a)]. 1583 K((x * (y / z)) \ x,x * (y / z)) = (y * T(y \ z,x * (y / z))) / z. [hyper(189,a,844,a,b,1578,a(flip)),flip(a)]. 1584 K(x \ (x / (y / z)),x) * z = y * T(y \ z,x). [para(1582(a,2),19(a,1,1))]. 1585 K(x \ (x / R(y,z,u)),x) = (((y * z) * u) * T(((y * z) * u) \ (z * u),x)) / (z * u). [para(33(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(1048(a,1),1582(a,2,1,2))]. 1587 K((x / y) \ 1,x / y) * y = x * T(x \ y,x / y). [para(64(a,1),1584(a,1,1,1,2))]. 1588 K((x / (y * x)) \ 1,x / (y * x)) * (y * x) = T(y,x / (y * x)) * x. [hyper(189,a,322,a(flip),b,1587,a)]. 1589 (x / y) * L(T(y,x),z,u) = (L(y,z,u) * x) / y. [para(500(a,1),1474(a,1,1)),flip(a)]. 1590 (L(x,y,z) * (u * x)) / x = u * L(T(x,u * x),y,z). [para(18(a,1),1589(a,1,1)),flip(a)]. 1591 T(x * L(T(y,x * y),z,u),y) = y \ (L(y,z,u) * (x * y)). [para(1590(a,1),115(a,1,1))]. 1592 T(x,y) * ((x * (T(x,y) \ 1)) / x) = T(x,T(x,y) \ 1) / x. [hyper(761,a,1475,a)]. 1593 (x * ((y * z) / y)) * z = (x * z) * ((y * z) / y). [para(16(a,1),1522(a,1,1,2)),flip(a)]. 1594 (1 / ((x * y) / x)) * y = y / ((x * y) / x). [hyper(423,a,1593,a),flip(a)]. 1595 ((x / y) * y) * ((x * y) / x) = T(x,x / (x / y)) * y. [para(1042(a,1),1593(a,1,1)),flip(a)]. 1596 T(x,x / (x / y)) * y = x * ((x * y) / x). [hyper(252,a,1595,a),flip(a)]. 1597 T(x,x / (x / y)) * (x \ y) = (x * y) / x. [hyper(980,a,1596,a)]. 1599 ((x * y) / x) / (x \ y) = T(x,x / (x / y)). [hyper(88,a,1597,a)]. 1601 T(x,x / (1 / (x \ y))) = T(x,x / (x / y)). [hyper(189,a,1428,a,b,1599,a(flip)),flip(a)]. 1602 T(x,x / (x / (x * y))) = T(x,x / (1 / y)). [para(16(a,1),1601(a,1,2,2,2)),flip(a)]. 1603 ((x / y) * (x / (x / y))) * y = x * (x / (x / y)). [hyper(411,a,1523,a),flip(a)]. 1604 (x * (y / (y / z))) * z = (x * z) * (y / (y / z)). [para(69(a,1),1523(a,1,1,2)),flip(a)]. 1606 (1 / (x / (x / y))) * y = y / (x / (x / y)). [hyper(423,a,1604,a),flip(a)]. 1607 x / (1 / (1 / x)) = K(x,x \ 1). [hyper(1560,a,1606,a),flip(a)]. 1608 x / (1 / (1 / x)) = K(x,1 / x). [hyper(189,a,1531,a,b,1607,a)]. 1609 K(x,x \ 1) * (1 / (1 / x)) = x. [para(1607(a,1),19(a,1,1))]. 1610 K(x,1 / x) * (1 / (1 / x)) = x. [para(1608(a,1),19(a,1,1))]. 1611 L(1 / (1 / x),K(x,x \ 1),y) = (y * K(x,x \ 1)) \ (y * x). [para(1609(a,1),31(a,2,2,2))]. 1612 x * L(y,1 / (1 / x),K(x,x \ 1)) = K(x,x \ 1) * ((1 / (1 / x)) * y). [para(1609(a,1),102(a,1,1))]. 1613 L(x,1 / x,x) = 1 / (1 / x). [hyper(466,a,1610,a)]. 1614 L(T(x,y),1 / x,x) = T(1 / (1 / x),y). [para(1613(a,1),43(a,2,1))]. 1615 K(x,1 / x) \ (x * (T(x,y) / x)) = T(1 / (1 / x),y). [hyper(189,a,808,a,b,1614,a(flip)),flip(a)]. 1616 K(x,1 / x) * T(1 / (1 / x),y) = x * (T(x,y) / x). [para(1615(a,1),17(a,1,2))]. 1617 K(x,x \ 1) * T(1 / (1 / x),y) = x * (T(x,y) / x). [para(1531(a,1),1616(a,1,1))]. 1618 T(x * L(T(y,x * y),z,u),y) = L(y,z,u) * (y \ (x * y)). [hyper(189,a,961,a(flip),b,1591,a)]. 1619 T(x,y) * ((T(x,y) \ x) / x) = T(x,T(x,y) \ 1) / x. [para(987(a,1),1592(a,1,2,1))]. 1620 x * (T(x,T(x,y) \ 1) / x) = T(x,x / (x * T(x,y))). [para(1592(a,1),1400(a,1,2))]. 1621 (T(x,T(x,y) \ 1) / x) * x = T(x,x / (x * T(x,y))). [para(1619(a,1),1365(a,1,1))]. 1622 T(x,x / (x * T(x,y))) = T(x,T(x,y) \ 1). [hyper(200,a,1621,a)]. 1624 x * (T(x,T(x,y) \ 1) / x) = T(x,T(x,y) \ 1). [hyper(189,a,1620,a,b,1622,a(flip)),flip(a)]. 1625 x * (T(x,y) * ((T(x,y) \ x) / x)) = T(x,T(x,y) \ 1). [para(1619(a,2),1624(a,1,2))]. 1626 T(x * L(T(y,x * y),z,u),y) = L(y,z,u) * T(x,y). [para(35(a,2),1618(a,2,2))]. 1627 (x \ y) * T((x \ y) \ 1,T(y,x)) = K(T(x / y,T(y,x)),T(y,x)). [para(1499(a,1),17(a,1,2))]. 1628 K(T(x / y,T(y,x)),T(y,x)) = x \ (y * T(y \ x,T(y,x))). [hyper(189,a,1071,a(flip),b,1627,a(flip))]. 1629 T(x,x \ 1) * y != x * (K(x,x \ 1) * z) | L(z,x,K(x,x \ 1)) = y. [para(1575(a,1),1556(a,2))]. 1630 (x \ 1) * (K(x \ 1,x) * ((x \ 1) \ y)) = K(x \ 1,x) * y. [para(1538(a,1),1576(a,2,1))]. 1631 (x \ 1) \ (K(x \ 1,x) * y) = K(x \ 1,x) * ((x \ 1) \ y). [hyper(80,a,1630,a)]. 1632 K(x \ (x / ((y \ x) / T(x,y))),x) = x / T(x,y). [para(17(a,1),1586(a,2,1))]. 1633 (x * y) * R((x * y) \ (z * y),u,w) = (R(z / x,u,w) * x) * y. [hyper(639,a,664,a),flip(a)]. 1634 (x * y) * R((x * y) \ (z * y),u,w) = (x * R(x \ z,u,w)) * y. [para(510(a,1),1633(a,2,1))]. 1635 ((x / y) * R((x / y) \ z,u,w)) * y = x * R(((x / y) * y) \ (z * y),u,w). [hyper(252,a,1634,a),flip(a)]. 1636 x * (y * R(y \ (x \ (z * y)),u,w)) = (x * R(x \ z,u,w)) * y. [hyper(189,a,810,a(flip),b,1634,a(flip)),flip(a)]. 1637 x * R(x \ (x \ (y * x)),z,u) = T(x * R(x \ y,z,u),x). [hyper(147,a,1634,a(flip),b,810,a(flip)),flip(a)]. 1638 (x \ (y * z)) * R((x \ (y * z)) \ z,u,w) = x \ ((y * R(y \ x,u,w)) * z). [hyper(75,a,1634,a(flip),b,934,a),flip(a)]. 1639 (x * y) * R((x * y) \ y,z,u) = (x * R(x \ 1,z,u)) * y. [para(14(a,1),1634(a,1,2,1,2))]. 1640 (x * R(x \ (x * y),z,u)) * y = (x * y) * R(y,z,u). [para(16(a,1),1634(a,1,2,1)),flip(a)]. 1643 (x * R(y,z,u)) * y = (x * y) * R(y,z,u). [para(16(a,1),1640(a,1,1,2,1))]. 1644 ((x / R(y,z,u)) * y) \ (x * y) = R(y,z,u). [hyper(430,a,1643,a)]. 1645 (x * R(y,z,u)) \ ((x * y) * R(y,z,u)) = y. [hyper(80,a,1643,a)]. 1646 (x * R(y,z,u)) / y = (x / y) * R(y,z,u). [hyper(76,a,90,a(flip),b,1643,a)]. 1647 ((x / y) * R(y,z,u)) \ (x * R(y,z,u)) = y. [hyper(75,a,90,a(flip),b,1643,a)]. 1648 (x * T(y,x)) * R(T(y,x),z,u) = (R(y,z,u) * x) * T(y,x). [para(160(a,1),1643(a,1,1)),flip(a)]. 1649 (x * y) / R(y,z,u) != w | (x / R(y,z,u)) * y = w. [para(1644(a,1),246(a,1,2)),flip(b)]. 1650 (x * T(x \ (x * y),z)) * R(y,u,w) = (x * R(y,u,w)) * T(y,z). [para(1645(a,1),1100(a,1,2,1)),flip(a)]. 1651 T(x * R(x \ y,z,u),x) = x * R(x \ T(y,x),z,u). [para(35(a,2),1637(a,1,2,1,2)),flip(a)]. 1652 T(x * R(x \ 1,y,z),x) = x * R(x \ 1,y,z). [para(191(a,1),1651(a,2,2,1,2))]. 1653 T(x,x * R(x \ 1,y,z)) = x. [hyper(38,a,1652,a)]. 1654 T(x * ((x * R(x \ 1,y,z)) / x),x) = x * ((x * R(x \ 1,y,z)) / x). [para(1652(a,1),1176(a,2,2,1))]. 1655 T(1 / x,(1 / x) * R(x,y,z)) = 1 / x. [para(69(a,1),1653(a,1,2,2,1))]. 1656 T(x,(y / (x * y)) * x) = x. [para(522(a,2),1653(a,1,2))]. 1657 T(x \ 1,R(x,y,z) * (x \ 1)) = x \ 1. [para(513(a,1),1653(a,1,2))]. 1658 T(x \ 1,x \ R(x,y,z)) = x \ 1. [para(865(a,1),1653(a,1,2))]. 1659 T(x,y / (x * y)) * T(y / (x * y),x) = T(x * (y / (x * y)),x). [para(1656(a,1),1014(a,1,1,1)),flip(a)]. 1660 T(T(x \ 1,y),x \ R(x,z,u)) = T(x \ 1,y). [para(1658(a,1),41(a,1,1)),flip(a)]. 1661 (R(x,y,z) * (1 / x)) / R(x,y,z) = L(1 / x,R(x,y,z),1 / x). [para(1655(a,1),561(a,1,1,2))]. 1662 R(x \ 1,R(x,y,z),x \ 1) = T(x \ 1,R(x,y,z)). [para(1657(a,1),615(a,1,1))]. 1663 x * ((x * y) * R((x * y) \ y,z,u)) = (x * R(x \ 1,z,u)) * (x * y). [hyper(189,a,809,a(flip),b,1639,a(flip)),flip(a)]. 1664 (R(x,y,z) * u) * T(x,u) = (x * u) * R(T(x,u),y,z). [para(113(a,1),1648(a,1,1)),flip(a)]. 1665 (x * T(y,z)) * R(y,u,w) = (x * R(y,u,w)) * T(y,z). [para(16(a,1),1650(a,1,1,2,1))]. 1666 (x * R(y,z,u)) * T(y,x) = (y * x) * R(y,z,u). [para(113(a,1),1665(a,1,1)),flip(a)]. 1667 R(x,y,R(x,z,u)) * (y * R(x,z,u)) = (y * R(x,z,u)) * T(x,y). [hyper(189,a,110,a,b,1666,a),flip(a)]. 1669 T(x,y / (x * y)) * R(x \ 1,x,y) = T(x * (y / (x * y)),x). [para(517(a,1),1659(a,1,2))]. 1670 T(L(1 / x,R(x,y,z),1 / x),x) = (x \ R(x,y,z)) / R(x,y,z). [para(1661(a,1),873(a,1,1))]. 1671 L(x \ 1,R(x,y,z),1 / x) = (x \ R(x,y,z)) / R(x,y,z). [hyper(674,a,1670,a)]. 1672 T(x * ((x * R(x \ 1,y,z)) / x),x) = x * R(1 / x,y,z). [para(516(a,1),1654(a,2,2))]. 1673 T(x * R(1 / x,y,z),x) = x * R(1 / x,y,z). [para(516(a,1),1672(a,1,1,2))]. 1674 T(x * (y / (x * y)),x) = x * R(1 / x,x,y). [para(141(a,1),1673(a,1,1,2))]. 1675 T(x * (y / (x * y)),x) = x * (y / (x * y)). [para(141(a,1),1674(a,2,2))]. 1676 T(x,x * (y / (x * y))) = x. [hyper(38,a,1675,a)]. 1677 T(x,y / (x * y)) * R(x \ 1,x,y) = x * (y / (x * y)). [hyper(189,a,1669,a,b,1675,a(flip)),flip(a)]. 1678 T(x,x * ((x \ y) / y)) = x. [para(17(a,1),1676(a,1,2,2,2))]. 1679 T(x / y,(x / y) * (y / x)) = x / y. [para(19(a,1),1676(a,1,2,2,2))]. 1680 T((x \ y) \ y,x * ((x \ z) / z)) = T(x,x \ y). [para(1678(a,1),221(a,1,1)),flip(a)]. 1681 T(x \ y,(y / x) * (x / y)) = T(y / x,x). [para(1679(a,1),161(a,1,1)),flip(a)]. 1682 T(x \ y,(y / x) * (x / y)) = x \ y. [hyper(189,a,115,a(flip),b,1681,a)]. 1683 K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)) = (y * (y \ x)) / x. [para(1682(a,1),1583(a,2,1,2))]. 1684 K((x * ((x \ y) / y)) \ x,x * ((x \ y) / y)) = ((x \ y) * T(x,x \ y)) / y. [para(1680(a,1),1583(a,2,1,2))]. 1685 (x * R(x \ 1,y,z)) * (x * u) = x * ((x * R(x \ 1,y,z)) * u). [para(1639(a,1),1663(a,1,2)),flip(a)]. 1686 (x \ 1) * (((x \ 1) * R((x \ 1) \ 1,y,z)) * u) = (x \ R(x,y,z)) * ((x \ 1) * u). [para(865(a,1),1685(a,1,1)),flip(a)]. 1687 K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)) = x / x. [para(17(a,1),1683(a,2,1))]. 1688 K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)) = 1. [hyper(189,a,64,a(flip),b,1687,a)]. 1690 R((x * (y * z)) / (x * y),u,w) = (x * (y * R(z,u,w))) / (x * y). [para(351(a,1),677(a,1,1)),flip(a)]. 1691 (T(x,y) * (1 / x)) / T(x,y) = L(1 / x,T(x,y),1 / x). [hyper(189,a,1141,a(flip),b,799,a(flip)),flip(a)]. 1693 T(L(1 / x,T(x,y),1 / x),x) = (T(x,y) * (x \ 1)) / T(x,y). [para(1691(a,1),546(a,1,1))]. 1694 (T(x,y) * (x \ 1)) / T(x,y) = L(x \ 1,T(x,y),1 / x). [hyper(674,a,1693,a),flip(a)]. 1695 x * L(x \ 1,T(x,y),1 / x) = K(T(x,y),1 / x). [para(1694(a,1),1322(a,1,2))]. 1696 x * T(T(x \ (y * x),z),u) = y * (T(T(y,z),u) * (y \ x)). [para(825(a,1),944(a,1,2))]. 1697 x * T(T(T(y,x),z),u) = y * (T(T(y,z),u) * (y \ x)). [para(35(a,2),1696(a,1,2,1,1))]. 1698 x * (T(T(x,y),z) * (x \ u)) = T(T(x,y),z) * u. [hyper(572,a,1697,a),flip(a)]. 1699 L(T(x,y),y,K(x \ 1,x)) != z | T(x,K(x \ 1,x) * y) = z. [para(1193(a,1),238(a,1))]. 1700 (L(x \ 1,x,y) * y) / L(x \ 1,x,y) = y * (x * T(x \ 1,y)). [hyper(189,a,350,a(flip),b,1470,a)]. 1701 x \ ((L(y \ 1,y,x) * x) / L(y \ 1,y,x)) = (x * (y * T(y \ 1,x))) * (x \ 1). [para(1700(a,1),1106(a,1,1)),flip(a)]. 1702 (x * (((T(y,x) \ y) * x) \ x)) \ (x * x) = (T(y,x) \ y) * x. [hyper(189,a,1299,a(flip),b,1506,a)]. 1703 (T(x,y) * (L(x,z,u) * y)) \ ((y * L(T(x,y),z,u)) * T(T(x,y),y)) = a(T(x,y),y,L(T(x,y),z,u)). [para(1270(a,2),499(a,1,2))]. 1704 a(x,y,z) = L(L(z,y,x) \ z,(x * y) \ (x * (y * z)),x * y). [para(31(a,2),581(a,2,1,1))]. 1705 (((x / y) * (1 / (x / y))) * y) / x = ((x / y) * (y / x)) / (x / y). [para(19(a,1),830(a,1,1,2,2)),flip(a)]. 1706 (K(x / y,(x / y) \ 1) * y) / x = ((x / y) * (y / x)) / (x / y). [para(1535(a,2),1705(a,1,1,1))]. 1707 (x \ 1) * ((x \ T(x,y)) * ((x \ 1) \ z)) = (x \ T(x,y)) * z. [para(770(a,1),1157(a,2,1))]. 1708 (x \ T(x,y)) * ((x \ 1) \ ((x \ 1) / (x \ T(x,y)))) = K(x \ T(x,y),(x \ 1) / (x \ T(x,y))). [hyper(20,a,214,a,b,1707,a)]. 1709 a(x,x \ y,T(z,x * (x \ y))) = (L(z,x \ y,x) * y) \ (z * y). [para(17(a,1),1220(a,1,2,2)),flip(a)]. 1710 (L(x,y \ z,y) * z) \ (x * z) = a(y,y \ z,T(x,z)). [para(17(a,1),1709(a,1,3,2)),flip(a)]. 1712 R((x \ 1) \ (x \ y),z,u) * (x \ 1) = x \ R(T(y,x \ 1),z,u). [para(17(a,1),1284(a,1,2,1)),flip(a)]. 1713 (x \ R(T(y,x \ 1),z,u)) / (x \ 1) = R((x \ 1) \ (x \ y),z,u). [hyper(88,a,1712,a)]. 1715 R((x \ 1) \ (x \ y),z,u) = (x \ 1) \ (x \ R(y,z,u)). [hyper(189,a,805,a(flip),b,1713,a(flip))]. 1716 x \ ((y * x) * R((y * x) \ x,z,u)) = T(y,x) * R(T(y,x) \ 1,z,u). [para(35(a,2),1317(a,2,2,1,1))]. 1717 x \ ((y * R(y \ 1,z,u)) * x) = T(y,x) * R(T(y,x) \ 1,z,u). [para(1639(a,1),1716(a,1,2))]. 1718 T(x,y) * R(T(x,y) \ 1,z,u) != w | T(x * R(x \ 1,z,u),y) = w. [para(1717(a,1),238(a,1))]. 1719 K(x,(y * x) \ y) * x = T(x,(y * x) \ y). [para(16(a,1),1448(a,1,1,1))]. 1720 T(x,(y * x) \ y) / x = K(x,(y * x) \ y). [hyper(88,a,1719,a)]. 1722 ((x / y) * R((x / y) \ z,u,w)) * y = x * R(x \ (z * y),u,w). [para(19(a,1),1635(a,2,2,1,1))]. 1723 (x * R(x \ (y * z),u,w)) / z = (x / z) * R((x / z) \ y,u,w). [hyper(88,a,1722,a)]. 1724 (x / y) * R((x / y) \ 1,z,u) = (x * R(x \ y,z,u)) / y. [para(14(a,1),1723(a,1,1,2,1,2)),flip(a)]. 1725 (((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(33(a,2),1724(a,1,1)),flip(a)]. 1726 (x \ ((y \ x) * z)) * R((x \ ((y \ x) * z)) \ z,u,w) = x \ ((R(y,u,w) * (y \ x)) * z). [para(513(a,1),1638(a,2,2,1))]. 1727 K((x * ((x \ y) / y)) \ x,x * ((x \ y) / y)) = y / y. [para(145(a,1),1684(a,2,1))]. 1728 K((x * ((x \ y) / y)) \ x,x * ((x \ y) / y)) = 1. [hyper(189,a,64,a(flip),b,1727,a)]. 1730 T(1 / ((x \ y) / y),x * ((x \ y) / y)) = 1 / ((x \ y) / y). [para(1728(a,1),845(a,1,1)),flip(a)]. 1731 (x * ((x \ y) / y)) \ x = 1 / ((x \ y) / y). [hyper(189,a,1394,a(flip),b,1730,a(flip)),flip(a)]. 1732 ((x / y) * (y / x)) \ (x / y) = 1 / (((x / y) \ x) / x). [para(69(a,1),1731(a,1,1,2,1))]. 1733 ((x / y) * (y / x)) \ (x / y) = 1 / (y / x). [para(69(a,1),1732(a,2,2,1))]. 1734 ((x / y) * (y / x)) * (1 / (y / x)) = x / y. [para(1733(a,1),17(a,1,2))]. 1736 K(1 / (x / y),(y / x) * (x / y)) = 1. [para(1733(a,1),1688(a,1,1))]. 1737 K(1 / x,(y / (x * y)) * ((x * y) / y)) = 1. [para(18(a,1),1736(a,1,1,2))]. 1738 ((x * y) / y) * (y / (x * y)) = x / (1 / (y / (x * y))). [hyper(76,a,18,a(flip),b,1734,a),flip(a)]. 1739 K(1 / x,(y / (x * y)) * x) = 1. [para(18(a,1),1737(a,1,2,2))]. 1740 T(1 / x,(y / (x * y)) * x) = 1 / x. [hyper(40,a,1739,a)]. 1741 L(x \ 1,x,y / (x * y)) = 1 / x. [hyper(1282,a,1740,a)]. 1742 L(x \ 1,x,R(1 / x,x,y)) = 1 / x. [para(141(a,2),1741(a,1,3))]. 1743 ((x / (y * x)) * y) * (1 / y) = x / (y * x). [para(1741(a,1),278(a,1,2))]. 1744 R(1 / x,x,y) / (1 / x) = R(1 / x,x,y) * x. [para(1742(a,1),283(a,1,2))]. 1745 R(x \ 1,x,y) \ (y / (x * y)) = K(x,x \ 1). [para(1743(a,1),1543(a,1,2))]. 1746 x / (y * x) = R(y \ 1,y,x) * K(y,y \ 1). [para(1745(a,1),17(a,1,2)),flip(a)]. 1747 T(1 / (1 / x),R(1 / x,x,y)) = x. [hyper(879,a,1744,a)]. 1748 T(1 / (1 / (x / y)),y / x) = x / y. [para(287(a,1),1747(a,1,2))]. 1749 T(x,R(1 / x,x,y)) = T(x,x \ 1). [para(1747(a,1),953(a,1,1)),flip(a)]. 1750 x * K(x,1 / x) = T(x,x \ 1). [hyper(189,a,1407,a(flip),b,1749,a(flip)),flip(a)]. 1751 T(x,y / (x * y)) = T(x,x \ 1). [para(141(a,1),1749(a,1,2))]. 1752 T(x,(x \ y) / y) = T(x,x \ 1). [para(286(a,1),1749(a,1,2))]. 1753 x \ ((x \ 1) \ 1) = K(x,1 / x). [hyper(75,a,114,a(flip),b,1750,a)]. 1754 x * K(x,x \ 1) = T(x,x \ 1). [para(1531(a,1),1750(a,1,2))]. 1755 T(x,y / (x * y)) = (x \ 1) \ 1. [hyper(189,a,114,a(flip),b,1751,a)]. 1756 K((x / (y * x)) \ 1,x / (y * x)) * (y * x) = T(y,y \ 1) * x. [para(1751(a,1),1588(a,2,1))]. 1757 ((x \ y) / y) * T(x,x \ 1) != z | x * ((x \ y) / y) = z. [para(1752(a,1),205(a,1,2))]. 1758 x \ (x \ ((x \ 1) \ 1)) = 1 / x. [hyper(75,a,1753,a,b,168,a(flip))]. 1759 x \ (T(x,y) \ ((x \ 1) \ 1)) = T(x,y) \ K(x,1 / x). [hyper(75,a,1753,a(flip),b,978,a),flip(a)]. 1760 x \ ((x \ 1) \ 1) != y | K(x,x \ 1) = y. [para(1753(a,2),1559(a,1))]. 1761 x * K(x,x \ 1) = (x \ 1) \ 1. [hyper(189,a,114,a(flip),b,1754,a)]. 1762 T(x,x \ 1) * L(y,K(x,x \ 1),x) = x * (K(x,x \ 1) * y). [para(1754(a,1),102(a,1,1))]. 1764 (T(x,x \ 1) * y) / (K(x,x \ 1) * y) != z | R(x,K(x,x \ 1),y) = z. [para(1754(a,1),385(a,1,1,1))]. 1765 T(x / y,y / x) = ((x / y) \ 1) \ 1. [para(19(a,1),1755(a,1,2,2))]. 1767 ((x / y) * (y / x)) / (x / y) = 1 / (1 / (y / x)). [para(1748(a,1),143(a,1,1,2))]. 1769 (x / y) * (((y / x) \ 1) \ 1) = (y / x) * (x / y). [para(1765(a,1),113(a,1,2))]. 1770 ((((x * y) / x) \ 1) \ 1) * x = x * T(y,x / (x * y)). [para(1765(a,1),325(a,1,1))]. 1771 x \ T(x,y / (x * y)) != z | K(x,x \ 1) = z. [para(1755(a,2),1760(a,1,2))]. 1772 x / (1 / (y / (x * y))) = x * (y / (x * y)). [para(18(a,1),1738(a,1,1)),flip(a)]. 1773 K(x \ (x * (y / (x * y))),x) = R(x \ 1,x,y) / (y / (x * y)). [para(1772(a,1),895(a,1,1,2))]. 1774 x \ (T(x,y) \ ((x \ 1) \ 1)) = x * (T(x,y) \ (1 / x)). [hyper(189,a,1009,a(flip),b,1759,a)]. 1775 T(x,((y * x) / y) \ 1) = T(x,y / (y * x)). [hyper(945,a,1770,a)]. 1776 ((x \ 1) \ 1) * (x \ (T(x,y) \ 1)) = x * (T(x,y) \ (1 / x)). [hyper(189,a,1307,a,b,1774,a(flip)),flip(a)]. 1777 L(x,K(y,y \ 1),y) = L(x,y,K(y,y \ 1)). [hyper(1629,a,1762,a),flip(a)]. 1778 R(x \ 1,x,y) / (y / (x * y)) = K(y / (x * y),x). [hyper(189,a,1215,a(flip),b,1773,a(flip))]. 1780 K(x / (y * x),y) * (x / (y * x)) != z | R(y \ 1,y,x) = z. [para(1778(a,1),200(a,1,1)),flip(b)]. 1782 R(x * y,z,K(y * z,R(x,y,z))) \ ((y * z) * R(x,y,z)) = z * K(y * z,R(x,y,z)). [hyper(726,a,110,a(flip))]. 1783 (x * y) * ((z * ((x * y) \ (u * y))) / z) = (((z * (u / x)) / z) * x) * y. [hyper(699,a,759,a),flip(a)]. 1784 (((x * ((y / z) / u)) / x) * u) * z = (u * z) * ((x * ((u * z) \ y)) / x). [para(19(a,1),1783(a,1,2,1,2,2)),flip(a)]. 1785 (x * y) * ((z * ((x * y) \ (u * y))) / z) = (x * ((z * (x \ u)) / z)) * y. [para(680(a,1),1783(a,2,1))]. 1786 (x * y) * ((x * ((x * y) \ z)) / x) = (x * ((z / y) / x)) * y. [hyper(252,a,1784,a),flip(a)]. 1787 (x * y) * ((x * ((x * y) \ z)) / x) != u | (x * ((z / y) / x)) * y = u. [para(1784(a,1),252(a,1))]. 1788 (x * ((x / y) / x)) * y = T(x,x / (x * y)). [hyper(1044,a,1786,a),flip(a)]. 1789 x * (y * ((x * (y \ (x \ z))) / x)) = (x * ((z / y) / x)) * y. [hyper(189,a,936,a(flip),b,1786,a(flip)),flip(a)]. 1790 x \ T(y,y / (y * x)) = T(y * ((y / x) / y),x). [hyper(147,a,1788,a,b,17,a),flip(a)]. 1792 (x * (R(y / z,z,y \ u) / x)) * (z * (y \ u)) = x * ((z * (y \ u)) * ((x * ((z * (y \ u)) \ (x \ u))) / x)). [para(390(a,2),1789(a,2,1,2,1)),flip(a)]. 1793 T(x,x / (x * y)) != z | (x * ((x / y) / x)) * y = z. [para(1039(a,1),1787(a,1))]. 1795 x * (y * ((z * (y \ (x \ (u * y)))) / z)) = (x * ((z * (x \ u)) / z)) * y. [hyper(189,a,936,a(flip),b,1785,a(flip)),flip(a)]. 1796 (x * y) * ((z * ((x * y) \ y)) / z) = (x * ((z * (x \ 1)) / z)) * y. [para(14(a,1),1785(a,1,2,1,2,2))]. 1797 (x * ((y * (x \ 1)) / y)) * x = x * (x * ((y * (x \ 1)) / y)). [hyper(189,a,1398,a(flip),b,1796,a(flip))]. 1798 x * ((x * y) * ((z * ((x * y) \ y)) / z)) = (x * ((z * (x \ 1)) / z)) * (x * y). [hyper(189,a,1397,a(flip),b,1796,a(flip)),flip(a)]. 1799 T(x * ((y * (x \ 1)) / y),z) = K(y,(y / T(x,z)) / y). [hyper(147,a,1796,a(flip),b,1416,a(flip))]. 1801 (x * ((y / (z * (x \ y))) / x)) * (z * (x \ y)) = x * ((z * ((x * (z \ 1)) / x)) * (x \ y)). [para(1796(a,1),1789(a,1,2)),flip(a)]. 1802 T(x,y) * ((z * (T(x,y) \ 1)) / z) = T(x * ((z * (x \ 1)) / z),y). [hyper(189,a,1319,a(flip),b,1799,a),flip(a)]. 1803 (1 / x) * ((1 / x) * ((y * ((1 / x) \ 1)) / y)) = (((y * x) / y) / x) * (1 / x). [para(1427(a,1),1797(a,1,1)),flip(a)]. 1804 T(x,y) * ((x * (T(x,y) \ 1)) / x) = T(x * (1 / x),y). [para(17(a,1),1802(a,2,1,2,1))]. 1805 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(326(a,2),1802(a,2,1,2,1)),flip(a)]. 1806 T(x,y) * ((T(x,y) \ x) / x) = T(x * (1 / x),y). [para(987(a,1),1804(a,1,2,1))]. 1807 T(x,y) * ((T(x,y) \ x) / x) = T(K(x,x \ 1),y). [para(1535(a,2),1806(a,2,1))]. 1808 x * T(K(x,x \ 1),y) = T(x,T(x,y) \ 1). [para(1807(a,1),1625(a,1,2))]. 1809 (x * ((y * (x \ z)) / y)) * y = x * (y * ((x \ (z * y)) / y)). [para(17(a,1),1795(a,1,2,2,1)),flip(a)]. 1810 ((x * y) * ((z * ((x * y) \ x)) / z)) * z = (x * y) * (z * (L(y \ z,y,x) / z)). [para(104(a,2),1809(a,2,2,2,1))]. 1811 (x * ((y * (x \ 1)) / y)) * (x * z) = x * ((x * ((y * (x \ 1)) / y)) * z). [para(1796(a,1),1798(a,1,2)),flip(a)]. 1812 K(x,(x / y) / x) * (y * z) = y * ((y * ((x * (y \ 1)) / x)) * z). [para(1319(a,2),1811(a,1,1))]. 1813 (((x * y) / x) / y) * (1 / y) = (1 / y) * (((x * y) / x) / y). [para(1427(a,1),1803(a,1,2)),flip(a)]. 1814 ((1 / x) * (((y * x) / y) / x)) / (1 / x) = ((y * x) / y) / x. [hyper(88,a,1813,a)]. 1815 R(((x * y) / x) / y,y,x) = ((1 / y) * ((x * y) / (y * x))) / (1 / y). [para(1814(a,1),696(a,1,1))]. 1816 ((1 / x) * ((y * x) / (x * y))) / (1 / x) = (y * x) / (x * y). [hyper(189,a,187,a(flip),b,1815,a(flip))]. 1817 T((x * y) / (y * x),y * x) = ((1 / y) * ((y * x) \ (x * y))) / (1 / y). [para(1816(a,1),546(a,1,1))]. 1818 ((1 / x) * ((x * y) \ (y * x))) / (1 / x) = (x * y) \ (y * x). [hyper(307,a,1817,a),flip(a)]. 1819 K(x,y) = ((1 / y) * ((y * x) \ (x * y))) / (1 / y). [hyper(189,a,29,a,b,1818,a),flip(a)]. 1820 ((1 / x) * K(y,x)) / (1 / x) = K(y,x). [para(29(a,2),1819(a,2,1,2)),flip(a)]. 1821 K(x,y) * (1 / y) = (1 / y) * K(x,y). [para(1820(a,1),19(a,1,1))]. 1822 (K(x,y) * (1 / y)) / K(x,y) = 1 / y. [para(1820(a,1),72(a,1,1,1))]. 1823 K(x \ 1,x) * (1 / x) = x \ 1. [hyper(189,a,1198,a(flip),b,1821,a)]. 1824 T(1 / x,K(y,x)) = 1 / x. [hyper(148,a,1821,a)]. 1825 K(1 / x,K(y,x)) = 1. [hyper(39,a,1824,a)]. 1826 K(x,K(y,x \ 1)) = 1. [para(67(a,1),1825(a,1,1))]. 1827 T(x,K(y,x \ 1)) = x. [hyper(40,a,1826,a)]. 1828 x * (1 / y) != y \ 1 | K(y \ 1,y) = x. [para(1823(a,1),23(a,1)),flip(a)]. 1829 (x \ 1) / (1 / x) != y | K(x \ 1,x) = y. [para(1823(a,1),248(a,1,1)),flip(b)]. 1830 (x \ 1) * L(y,1 / x,K(x \ 1,x)) = K(x \ 1,x) * ((1 / x) * y). [para(1823(a,1),102(a,1,1))]. 1831 R(x,K(y \ 1,y),1 / y) * (y \ 1) = (x * K(y \ 1,y)) * (1 / y). [para(1823(a,1),110(a,1,2))]. 1832 (x \ 1) \ (K(x \ 1,x) * y) != z | L((1 / x) \ y,1 / x,K(x \ 1,x)) = z. [para(1823(a,1),437(a,1,1))]. 1833 R(1 / x,y,z) \ (K(u,x) * R(1 / x,y,z)) = K(u,x). [para(1822(a,1),671(a,1,1,1))]. 1834 K(1 / x,1 / (1 / x)) != y | K(x \ 1,x) = y. [para(496(a,2),1829(a,1))]. 1835 K(1 / x,(1 / x) \ 1) = K(x \ 1,x). [hyper(1834,a,1531,a),flip(a)]. 1836 K(1 / x,x) = K(x \ 1,x). [para(69(a,1),1835(a,1,2))]. 1837 L(x,1 / y,K(1 / y,(1 / y) \ 1)) = L(x,K(y \ 1,y),1 / y). [para(1835(a,1),1777(a,1,2)),flip(a)]. 1838 K((x \ 1) \ 1,x \ 1) = K(x,x \ 1). [para(67(a,1),1836(a,1,1)),flip(a)]. 1839 T(K(x,y),R(1 / y,z,u)) = K(x,y). [hyper(238,a,1833,a)]. 1840 T(K(x,y),z / (y * z)) = K(x,y). [para(141(a,1),1839(a,1,2))]. 1841 T(K(x,y),y \ 1) = K(x,y). [para(446(a,1),1839(a,1,2))]. 1842 T(x \ 1,K(y,x)) = x \ 1. [hyper(38,a,1841,a)]. 1843 T((x \ 1) * T((x \ 1) \ 1,y),K(z,x)) = (x \ 1) * T(T(x \ 1,K(z,x)) \ 1,y). [para(1842(a,1),1373(a,1,1)),flip(a)]. 1844 K(x,y) * (z / (y * z)) = (z / (y * z)) * K(x,y). [para(1840(a,1),113(a,1,2)),flip(a)]. 1845 (x / (y * x)) * K(x / (y * x),y) = R(y \ 1,y,x). [hyper(1780,a,1844,a),flip(a)]. 1847 L(x \ L(y,1 / x,K(x \ 1,x)),x,x \ 1) = (1 / x) * y. [hyper(833,a,1830,a(flip))]. 1848 L((1 / x) \ y,1 / x,K(x \ 1,x)) = K(x \ 1,x) * ((x \ 1) \ y). [hyper(1832,a,1631,a)]. 1849 T(x * R(x \ 1,T(x,y),x \ 1),y) = ((x \ 1) / (x \ T(x,y))) * T(x,y). [hyper(1718,a,774,a)]. 1850 ((x \ 1) / (x \ T(x,y))) * T(x,y) = T(x * T(x \ 1,T(x,y)),y). [para(1144(a,1),1849(a,1,1,2)),flip(a)]. 1851 (x \ 1) / (x \ T(x,y)) = T(x,y) \ 1. [hyper(1377,a,1850,a(flip)),flip(a)]. 1852 T(T(x,y) \ 1,x \ T(x,y)) = (x \ T(x,y)) \ (x \ 1). [para(1851(a,1),115(a,1,1))]. 1853 K(x \ T(x,y),(x \ 1) / (x \ T(x,z))) = 1. [para(1851(a,2),1388(a,1,2))]. 1854 (x \ T(x,y)) \ (x \ 1) = T(x,y) \ 1. [hyper(189,a,1385,a(flip),b,1852,a(flip))]. 1856 R((1 / (x * y)) * x,y,y \ 1) = T((1 / (x * y)) * x,y). [hyper(189,a,728,a(flip),b,821,a(flip))]. 1857 a(1 / (x * y),x,y) \ T((1 / (x * y)) * x,y) = y \ 1. [para(1856(a,1),704(a,1,2))]. 1858 (x * y) * (z * T(z \ L(y \ z,y,x),u)) = (x * (y * T(y \ 1,u))) * z. [para(569(a,1),1161(a,1,1)),flip(a)]. 1859 (x \ 1) * (L(x \ 1,x,y) \ (x * ((y * x) \ y))) = K(x \ 1,x * ((y * x) \ y)). [hyper(189,a,963,a(flip),b,1276,a(flip)),flip(a)]. 1860 (L(x,1 / x,y) * y) / L(x,1 / x,y) = y * ((1 / x) * T(x,y)). [hyper(189,a,350,a(flip),b,1471,a)]. 1861 (L(x,1 / x,y) * y) / L(x,1 / x,y) = y * (T(x,y) / x). [para(793(a,1),1860(a,2,2))]. 1862 (x \ ((L(y,1 / y,x) * x) / L(y,1 / y,x))) / (x \ 1) = x * (T(y,x) / y). [hyper(189,a,1108,a,b,1861,a(flip)),flip(a)]. 1863 x * (((L(y,1 / y,x) * x) / L(y,1 / y,x)) \ z) = (x * (T(y,x) / y)) \ (x * z). [para(1861(a,1),1107(a,1,1)),flip(a)]. 1864 (x \ (x * (T(y,x) / y))) / (x \ 1) = x * (T(y,x) / y). [para(1861(a,1),1862(a,1,1,2))]. 1865 (T(x,y) / x) / (y \ 1) = y * (T(x,y) / x). [para(16(a,1),1864(a,1,1))]. 1867 T(T(x,y) * T(T(x,y) \ x,x),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). [para(1464(a,1),1509(a,1,1))]. 1868 T(L(x,T(x,y) \ x,T(x,y)),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). [para(1015(a,1),1867(a,1,1))]. 1869 T(L(x,T(x,y) \ x,T(x,y)),x * (T(x,y) \ x)) = L(x,T(x,y) \ x,x). [para(1505(a,1),1868(a,1,2))]. 1870 L(T(x,x * (T(x,y) \ x)),T(x,y) \ x,T(x,y)) = L(x,T(x,y) \ x,x). [hyper(189,a,43,a,b,1869,a(flip)),flip(a)]. 1871 L(x,T(x,y) \ x,T(x,y)) = L(x,T(x,y) \ x,x). [para(1502(a,1),1870(a,1,1))]. 1872 T(x,y) * T(T(x,y) \ x,x) = L(x,T(x,y) \ x,x). [hyper(189,a,1015,a,b,1871,a(flip)),flip(a)]. 1873 x * L(y,T(y,x) \ y,y) = (y * x) * T(K(x,y),y). [para(1871(a,1),1409(a,1,2))]. 1874 L(x,T(x,y) \ x,x) = (T(x,y) \ x) * T(x,y). [hyper(189,a,1510,a(flip),b,1872,a(flip))]. 1875 K(x \ 1,x * ((y * x) \ y)) = (x \ 1) * T(x,(y * x) \ y). [para(611(a,1),1859(a,1,2)),flip(a)]. 1876 (x * T(x \ y,x)) * (1 / x) = T(y * (1 / x),x). [para(63(a,1),1184(a,1,1)),flip(a)]. 1877 ((x \ y) * x) * (1 / x) = T(y * (1 / x),x). [para(113(a,1),1876(a,1,1))]. 1879 T((x * y) * (1 / x),x) = (y * x) * (1 / x). [para(16(a,1),1877(a,1,1,1)),flip(a)]. 1880 T(x * (1 / (y \ 1)),y \ 1) = (((y \ 1) \ x) * (y \ 1)) * y. [para(67(a,1),1877(a,1,2)),flip(a)]. 1881 x \ ((x \ 1) \ y) = (y * x) * (1 / x). [hyper(189,a,756,a(flip),b,1879,a(flip)),flip(a)]. 1882 T((x * y) * (1 / x),x) != z * (1 / x) | y * x = z. [para(1879(a,2),23(a,1))]. 1883 x * ((y * x) * (1 / x)) = (x \ 1) \ y. [para(1881(a,1),17(a,1,2))]. 1884 (x * x) * (1 / x) = x. [hyper(20,a,489,a(flip),b,1883,a)]. 1885 (x \ 1) \ (y / x) = x * (y * (1 / x)). [para(19(a,1),1883(a,1,2,1)),flip(a)]. 1886 (x \ 1) \ ((y * x) \ y) = x * ((y * x) \ y). [para(1439(a,1),1883(a,1,2)),flip(a)]. 1887 L(x \ 1,x,x) = 1 / x. [hyper(308,a,1884,a)]. 1888 (x * x) \ x = 1 / x. [hyper(80,a,1884,a)]. 1890 (x * (x * (x \ 1))) \ ((x * x) * ((1 / x) * y)) = L(y,L(x \ 1,x,x),x * x). [para(1887(a,1),347(a,1,2,2,1))]. 1891 L((1 / x) \ y,L(x \ 1,x,x),x * x) = (x * (x * (x \ 1))) \ ((x * x) * y). [para(1887(a,1),368(a,1,1,1))]. 1892 ((x \ 1) \ y) * (x \ 1) = x * (y * (1 / x)). [hyper(942,a,1885,a)]. 1893 (x \ 1) \ (y / x) != x * z | y * (1 / x) = z. [para(1885(a,2),22(a,1))]. 1894 (x \ 1) * (x * ((y * x) \ y)) = ((y * x) \ y) * 1. [para(1886(a,1),198(a,1,2))]. 1895 ((x \ 1) \ 1) * (y * (x \ 1)) = x * (y * (1 / x)). [hyper(189,a,486,a,b,1892,a(flip)),flip(a)]. 1897 (((x \ 1) \ y) * (x \ 1)) * x = T(y * x,x \ 1). [para(67(a,1),1880(a,1,1,2)),flip(a)]. 1898 T((x \ y) * x,x \ 1) = (x \ T(y,x \ 1)) * x. [para(783(a,1),1897(a,1,1)),flip(a)]. 1899 (x \ T(y / (x \ 1),x \ 1)) * x = T(T(y,x) / (x \ 1),x \ 1). [para(806(a,1),1898(a,1,1)),flip(a)]. 1900 T(T(x,y) / (y \ 1),y \ 1) = (y \ ((y \ 1) \ x)) * y. [para(115(a,1),1899(a,1,1,2)),flip(a)]. 1901 (x \ ((x \ 1) \ y)) * x = (x \ 1) \ T(y,x). [hyper(307,a,1900,a),flip(a)]. 1902 (x \ 1) \ T((x \ 1) * y,x) = (x \ y) * x. [para(16(a,1),1901(a,1,1,2)),flip(a)]. 1903 (x \ 1) * ((x \ y) * x) = T((x \ 1) * y,x). [para(1902(a,1),17(a,1,2))]. 1904 T((x \ 1) * (x * y),x) = (x \ 1) * (y * x). [para(16(a,1),1903(a,1,2,1)),flip(a)]. 1905 ((x \ 1) * y) \ T((x \ 1) * y,x) = L(K(x \ y,x),y,x \ 1). [para(1903(a,1),335(a,1,2))]. 1906 ((x \ 1) * (x * y)) * x = x * ((x \ 1) * (y * x)). [para(1904(a,1),113(a,1,2)),flip(a)]. 1907 ((x \ 1) * (x * y)) * x = L(y * x,x \ 1,x). [hyper(189,a,166,a(flip),b,1906,a)]. 1908 L(x * y,y \ 1,y) / y = (y \ 1) * (y * x). [hyper(76,a,166,a(flip),b,1906,a)]. 1909 (x \ 1) * (x * (y / x)) = L(y,x \ 1,x) / x. [para(19(a,1),1908(a,1,1,1)),flip(a)]. 1910 L(R(x,1 / y,y),y \ 1,y) / y = (y \ 1) * (y * (x * (1 / y))). [para(589(a,1),1908(a,1,1,1))]. 1911 (x \ 1) * (x * (y * (1 / x))) = L(y,x \ 1,x) * (1 / x). [hyper(189,a,595,a(flip),b,1910,a(flip))]. 1912 (x \ 1) * (x * (y * (1 / x))) != z * (1 / x) | L(y,x \ 1,x) = z. [para(1911(a,2),23(a,1))]. 1913 L(x,L(y \ 1,y,y),y * y) = y \ ((y * y) * ((1 / y) * x)). [para(62(a,1),1890(a,1,1)),flip(a)]. 1914 L(x,L(y \ 1,y,y),y * y) = y \ (y * ((y / y) * x)). [para(118(a,1),1913(a,2,2))]. 1915 L(x,L(y \ 1,y,y),y * y) = y \ (y * (1 * x)). [para(64(a,1),1914(a,2,2,2,1))]. 1916 L(x,L(y \ 1,y,y),y * y) = x. [hyper(74,a,1915,a,b,16,a(flip)),flip(a)]. 1918 x \ ((y * x) * L((y * x) \ z,u,w)) = T(y,x) * L(T(y,x) \ (x \ z),u,w). [para(35(a,2),1330(a,1,2,1,1)),flip(a)]. 1919 x \ (y * (x * L(x \ (y \ z),u,w))) = T(y,x) * L(T(y,x) \ (x \ z),u,w). [para(811(a,1),1918(a,1,2))]. 1920 T(x,y) * L(T(x,y) \ (y \ z),u,w) = T(x * L(x \ (z / y),u,w),y). [hyper(1336,a,1919,a),flip(a)]. 1921 T(x * L(x \ ((y * z) / y),u,w),y) = T(x,y) * L(T(x,y) \ z,u,w). [para(16(a,1),1920(a,1,2,1,2)),flip(a)]. 1922 T(x,y) * L(T(x,y) \ T(z,y),u,w) = T(x * L(x \ z,u,w),y). [para(143(a,1),1921(a,1,1,2,1,2)),flip(a)]. 1923 T(x,y) * L(T(x,y) \ 1,z,u) = T(x * L(x \ 1,z,u),y). [para(191(a,1),1922(a,1,2,1,2))]. 1924 T(x * L(x \ 1,y,z),u) != T(x,u) * w | L(T(x,u) \ 1,y,z) = w. [para(1923(a,1),22(a,1))]. 1925 T(x * L(x \ 1,T(x,y),z),y) = T(x,y) * ((z * T(x,y)) \ z). [para(140(a,1),1923(a,1,2)),flip(a)]. 1926 T(x \ y,z) * L(T(x \ y,z) \ 1,x \ y,x) = T((x \ y) * (y \ (x * 1)),z). [para(359(a,1),1923(a,2,1,2))]. 1927 T(x * L(x \ 1,T(x,y),1 / x),y) = T(x,y) * ((T(x,y) / x) \ (1 / x)). [para(793(a,1),1925(a,2,2,1))]. 1928 T(x,y) * ((T(x,y) / x) \ (1 / x)) = T(K(T(x,y),1 / x),y). [para(1695(a,1),1927(a,1,1)),flip(a)]. 1929 (x * (y * (1 / (1 / x)))) \ ((y * x) * (1 / (1 / x))) = K(y * L(x,x \ 1,x),x). [para(472(a,1),1363(a,1,2,2))]. 1930 L(L(x,y,y \ 1),K(y \ 1,y),1 / y) = (1 / y) * (y * x). [para(16(a,1),1371(a,2,2))]. 1932 (x \ L(x,y,z)) * ((x \ 1) * u) = (x \ 1) * ((x \ L(x,y,z)) * u). [para(854(a,1),1419(a,1,2,1)),flip(a)]. 1933 (x \ 1) * ((x \ L(x,y,z)) \ 1) = (x \ L(x,y,z)) \ (x \ 1). [hyper(75,a,62,a(flip),b,1932,a),flip(a)]. 1934 (x \ L(x,y,z)) \ (x \ 1) != (x \ 1) * u | (x \ L(x,y,z)) \ 1 = u. [para(1933(a,1),22(a,1))]. 1935 (T((x / (1 / y)) / y,z) * y) * (1 / y) = T(x / K(y,y \ 1),z) * K(y,y \ 1). [para(1535(a,2),1550(a,2,1,1,2))]. 1936 (x \ R(x,y,z)) * ((x \ 1) * u) = (x \ 1) * ((x \ R(x,y,z)) * u). [para(865(a,1),1686(a,1,2,1)),flip(a)]. 1937 (x \ 1) * ((x \ R(x,y,z)) \ 1) = (x \ R(x,y,z)) \ (x \ 1). [hyper(75,a,62,a(flip),b,1936,a),flip(a)]. 1938 (x * (y * T(y \ 1,x))) * (x \ 1) = x \ (x * (y * T(y \ 1,x))). [para(1700(a,1),1701(a,1,2)),flip(a)]. 1939 (x * (y * T(y \ 1,x))) \ (y * T(y \ 1,x)) = x \ 1. [hyper(75,a,16,a(flip),b,1938,a)]. 1941 (x * K(y,x)) \ (L(y \ 1,y,x) * T(L(y \ 1,y,x) \ 1,x)) = x \ 1. [para(906(a,2),1939(a,1,1,2))]. 1942 (x * K(y,x)) \ K(y,x) = x \ 1. [para(906(a,2),1941(a,1,2))]. 1943 (x * K(y,x)) * (x \ 1) = K(y,x). [para(1942(a,1),17(a,1,2))]. 1944 K(x,y) / (y \ 1) = y * K(x,y). [para(1942(a,1),67(a,1,2))]. 1945 K(x,y) * (z * T(z \ L((y \ 1) \ z,y \ 1,y * K(x,y)),u)) = ((y * K(x,y)) * ((y \ 1) * T((y \ 1) \ 1,u))) * z. [para(1943(a,1),1858(a,1,1))]. 1946 K(x,y) * T(K(x,y) \ (K(x,y) / (y \ 1)),z) = (y * K(x,y)) * ((y \ 1) * T((y \ 1) \ 1,z)). [para(1944(a,1),722(a,1,1)),flip(a)]. 1947 T((x \ 1) * T((x \ 1) \ 1,y),K(z,x)) = (x \ 1) * T((x \ 1) \ 1,y). [para(1842(a,1),1843(a,2,2,1,1))]. 1948 T((x \ 1) * T((x \ 1) \ 1,y),K(z,x)) = x \ T(x,y). [hyper(189,a,770,a(flip),b,1947,a)]. 1950 T(x \ T(x,y),K(z,x)) = x \ T(x,y). [para(770(a,1),1948(a,1,1))]. 1951 T(K(x,y),y \ T(y,z)) = K(x,y). [hyper(38,a,1950,a)]. 1952 T((x * y) \ (y * x),K(z,y)) = L(y \ T(y,x),y,x). [para(1950(a,1),585(a,1,1)),flip(a)]. 1953 K(K(x,y),y \ T(y,z)) = 1. [hyper(39,a,1951,a)]. 1954 K(K(x,y),y \ ((T(z,y) \ z) * y)) = 1. [para(1299(a,1),1953(a,1,2,2))]. 1955 K(K(x,y),T(T(z,y) \ z,y)) = 1. [para(35(a,2),1954(a,1,2))]. 1956 T((x * y) \ (y * x),K(z,y)) = K(y,x). [hyper(189,a,584,a,b,1952,a)]. 1957 T(K(x,y),K(z,x)) = K(x,y). [para(29(a,2),1956(a,1,1))]. 1958 T(K(x,y),K(y,z)) = K(x,y). [hyper(38,a,1957,a)]. 1959 K(x,y) * K(z,x) = K(z,x) * K(x,y). [para(1957(a,1),113(a,1,2)),flip(a)]. 1960 K(x,y) * K(y,z) != u | K(y,z) * K(x,y) = u. [para(1957(a,1),205(a,1,2))]. 1961 K(x,y) * L(K(y,z),u,w) != v5 | L(K(y,z),u,w) * K(x,y) = v5. [para(1957(a,1),303(a,1,2,1))]. 1962 K(x,y) * K(z,x) != u | K(z,x) * K(x,y) = u. [para(1958(a,1),205(a,1,2))]. 1963 L(K(x,y),z,u) * K(y,w) = K(y,w) * L(K(x,y),z,u). [para(1958(a,1),159(a,1,2,1)),flip(a)]. 1965 (x * (T(y,x) / y)) \ (x * z) = x * ((x * (T(y,x) / y)) \ z). [para(1861(a,1),1863(a,1,2,1)),flip(a)]. 1966 (T((x / (1 / y)) / y,z) * y) * (1 / y) != u | K(y,y \ 1) * T(K(y,y \ 1) \ x,z) = u. [para(1935(a,2),544(a,1))]. 1967 x \ ((x / T(y \ 1,y * y)) * ((((y \ 1) \ y) \ y) * z)) = L(z,((y \ 1) \ y) \ y,x / T(y \ 1,(y \ 1) \ y)). [para(489(a,1),536(a,1,2,1,2,2))]. 1968 (x * K(x,y)) * T((x * K(x,y)) \ (x * y),z) = (T(y,z) * x) * K(x,y). [hyper(189,a,380,a(flip),b,567,a)]. 1969 x * (K(x,y) * T(K(x,y) \ y,z)) = (T(y,z) * x) * K(x,y). [hyper(838,a,1968,a)]. 1970 (T(x,K(y,x)) * y) * K(y,x) = y * ((K(y,x) \ x) * K(y,x)). [para(113(a,1),1969(a,1,2)),flip(a)]. 1971 (x * y) * K(z \ (z / L(u,y,x)),z) = x * ((y * u) * T((y * u) \ y,z)). [hyper(838,a,1080,a),flip(a)]. 1972 (x * y) * K(z \ (z / L(u,y,x)),z) = x * (y * (u * T(u \ 1,z))). [para(569(a,1),1971(a,2,2))]. 1973 L(x * T(x \ 1,y),z,u) = K(y \ (y / L(x,z,u)),y). [hyper(346,a,1972,a)]. 1974 L(x * T(x \ 1,L(x,y,z)),y,z) = K(L(x,y,z) \ 1,L(x,y,z)). [para(64(a,1),1973(a,2,1,2))]. 1975 L(x \ T(x,y),z,u) = K(y \ (y / L(x \ 1,z,u)),y). [para(770(a,1),1973(a,1,1))]. 1976 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(18(a,1),1975(a,2,1,2))]. 1977 (L(x,y,z) * (1 / x)) / L(x,y,z) = L(1 / x,L(x,y,z),1 / x). [hyper(189,a,1347,a(flip),b,1263,a(flip)),flip(a)]. 1979 x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = L(1 / x,L(x,y,z),1 / x) * x. [para(1977(a,1),680(a,1,1)),flip(a)]. 1980 x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = x * L(x \ 1,L(x,y,z),1 / x). [hyper(189,a,502,a(flip),b,1979,a)]. 1981 x * L(x \ 1,L(x,y,z),1 / x) = K(L(x,y,z),1 / x). [hyper(189,a,1325,a(flip),b,1980,a(flip))]. 1982 K(x \ 1,x * ((y * x) \ y)) = 1. [hyper(1277,a,1894,a(flip))]. 1983 T(x,(y * x) \ y) = (x \ 1) \ 1. [hyper(75,a,1982,a(flip),b,1875,a(flip)),flip(a)]. 1984 T(x,(y * x) \ y) = T(x,x \ 1). [hyper(189,a,114,a,b,1983,a)]. 1985 K(x,(y * x) \ y) = ((x \ 1) \ 1) / x. [hyper(76,a,1983,a(flip),b,1719,a),flip(a)]. 1986 T(x \ y,y \ x) = ((x \ y) \ 1) \ 1. [para(17(a,1),1983(a,1,2,1))]. 1987 T(x,L(x \ 1,x,y)) = (x \ 1) \ 1. [para(140(a,2),1983(a,1,2))]. 1988 T(K(x,y),(x * y) \ (y * x)) = T(K(x,y),K(x,y) \ 1). [para(95(a,1),1984(a,1,2,1))]. 1989 T(x,L(x \ 1,x,y)) = T(x,x \ 1). [para(140(a,2),1984(a,1,2))]. 1990 K(x,(y * x) \ y) = K(x,x \ 1). [hyper(189,a,1533,a(flip),b,1985,a)]. 1992 K(x \ y,(x \ y) \ 1) = K(x \ y,y \ x). [para(17(a,1),1990(a,1,2,1)),flip(a)]. 1993 K(T(x,y),T(x,y) \ 1) = K(T(x,y),(x * y) \ y). [para(113(a,1),1990(a,1,2,1)),flip(a)]. 1994 K(x \ y,T(y,x) \ ((y * x) / y)) = K(x \ y,(x \ y) \ 1). [para(1027(a,2),1990(a,1,2,1))]. 1995 1 / T(x \ y,y \ x) = (x \ y) \ 1. [para(1986(a,2),67(a,1,2))]. 1996 T(x \ (x / y),y) = ((x \ (x / y)) \ 1) \ 1. [para(69(a,1),1986(a,1,2))]. 1997 (x \ y) * (((y \ x) \ 1) \ 1) != z | (y \ x) * (x \ y) = z. [para(1986(a,1),205(a,1,2))]. 1998 x * K((x \ y) \ 1,x \ y) = y * (((y \ x) \ 1) \ 1). [para(1986(a,1),1073(a,1,2)),flip(a)]. 1999 1 / T((x * y) \ x,y) = ((x * y) \ x) \ 1. [para(16(a,1),1995(a,1,2,2))]. 2000 (x \ y) * (1 / (x \ y)) = K(x \ y,y \ x). [hyper(1539,a,1992,a)]. 2001 T(K(x,y),K(x,y) \ 1) = T(K(x,y),K(y,x)). [para(29(a,2),1988(a,1,2)),flip(a)]. 2002 T(K(x,y),K(y,x)) != z | (K(x,y) \ 1) \ 1 = z. [para(2001(a,1),315(a,1))]. 2003 (K(x,y) \ 1) \ 1 = K(x,y). [hyper(2002,a,1958,a)]. 2004 1 / K(x,y) = K(x,y) \ 1. [para(2003(a,1),67(a,1,2))]. 2005 1 / (1 / K(x,y)) = K(x,y). [para(2003(a,1),130(a,1,2,2))]. 2006 K(x,y) \ 1 != z | 1 / K(x,y) = z. [para(2005(a,1),236(a,1,1)),flip(b)]. 2007 K(x \ y,T(x / y,T(y,x))) = K(x \ y,(x \ y) \ 1). [para(1465(a,1),1994(a,1,2))]. 2008 K(x \ y,T(x / y,T(y,x))) = K(x \ y,y \ x). [hyper(189,a,1992,a(flip),b,2007,a)]. 2009 K(x \ (x / R(y,z,u)),x) = (((y * z) * T((y * z) \ z,x)) * u) / (z * u). [para(1100(a,1),1585(a,2,1))]. 2010 K(x \ (x / R(y,z,u)),x) = (((y * T(y \ 1,x)) * z) * u) / (z * u). [para(1119(a,1),2009(a,2,1,1))]. 2011 R(x * T(x \ 1,y),z,u) = K(y \ (y / R(x,z,u)),y). [hyper(189,a,33,a,b,2010,a),flip(a)]. 2012 K(x \ (x / R(y,z,u)),x) != w | R(y * T(y \ 1,x),z,u) = w. [para(2010(a,2),385(a,1))]. 2013 R(x,y,z) * T(R(x,y,z) \ 1,u) = R(x * T(x \ 1,u),y,z). [hyper(189,a,886,a(flip),b,2011,a),flip(a)]. 2014 R(x * T(x \ 1,R(x,y,z)),y,z) = K(R(x,y,z) \ 1,R(x,y,z)). [para(64(a,1),2011(a,2,1,2))]. 2015 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(870(a,1),2011(a,2,1,2))]. 2016 K(R(x,y,z) \ 1,R(x,y,z)) * (y * z) = ((x * T(x \ 1,R(x,y,z))) * y) * z. [para(2014(a,1),110(a,1,1))]. 2017 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(1230(a,1),882(a,1,1))]. 2018 K(T(x,R(x \ 1,y,z)),R(x \ 1,y,z)) = x \ T(x,R(x \ 1,y,z)). [para(35(a,2),898(a,1,1))]. 2019 K(x \ 1,x) * R(K(x \ 1,x) \ y,z,u) = (x \ 1) * (x * R(x \ ((x \ 1) \ y),z,u)). [para(165(a,2),1245(a,1,2,1,1))]. 2020 K(x \ y,x) * R((y \ ((x \ y) * x)) \ x,z,u) = y \ ((R(x,z,u) * (x \ y)) * x). [para(96(a,1),1726(a,1,1))]. 2021 K(x \ y,x) * R(K(x \ y,x) \ x,z,u) = y \ ((R(x,z,u) * (x \ y)) * x). [para(96(a,1),2020(a,1,2,1,1))]. 2022 K(x \ 1,x) * R(K(x \ 1,x) \ (y * x),z,u) = ((x \ 1) * R((x \ 1) \ y,z,u)) * x. [hyper(189,a,1636,a(flip),b,2019,a)]. 2023 K(x \ 1,x) * R(K(x \ 1,x) \ (y * x),z,u) = (x \ R(x * y,z,u)) * x. [para(823(a,1),2022(a,2,1))]. 2024 (x * K(x,y)) * R((x * K(x,y)) \ (x * y),z,u) = (R(y,z,u) * x) * K(x,y). [hyper(189,a,382,a(flip),b,666,a)]. 2025 x * (K(x,y) * R(K(x,y) \ y,z,u)) = (R(y,z,u) * x) * K(x,y). [hyper(948,a,2024,a)]. 2026 x * (K(x,y) * R(K(x,y) \ y,y \ 1,y)) = (T(y,y \ 1) * x) * K(x,y). [para(1135(a,1),2025(a,2,1,1))]. 2027 T(1 / (1 / R(1 / x,x,y)),x * y) = T(1 / (1 / (y / (x * y))),x * y). [hyper(189,a,803,a(flip),b,958,a(flip))]. 2028 K(x,x \ 1) * T(K(x,x \ 1) \ y,z) = x * ((1 / x) * T((1 / x) \ (x \ y),z)). [hyper(1966,a,1163,a)]. 2029 K(x,x \ 1) * T(K(x,x \ 1) \ y,z) = x * (T((x \ y) * x,z) / x). [para(778(a,1),2028(a,2,2))]. 2030 K(x,x \ 1) * T(K(x,x \ 1) \ y,x) = T(y,x). [hyper(189,a,1174,a(flip),b,2029,a)]. 2031 T(x * K(y,y \ 1),y) = T(x,y) * K(y,y \ 1). [hyper(571,a,2030,a),flip(a)]. 2032 T((1 / K(x,x \ 1)) * y,x) = (1 / K(x,x \ 1)) * T(y,x). [hyper(807,a,2031,a),flip(a)]. 2033 T((x / y) * K(y,y \ 1),y) = (y \ x) * K(y,y \ 1). [para(115(a,1),2031(a,2,1))]. 2034 x \ (y * K(x,x \ 1)) = (x \ y) * K(x,x \ 1). [hyper(189,a,1567,a(flip),b,2033,a(flip)),flip(a)]. 2035 x * ((x \ y) * K(x,x \ 1)) = y * K(x,x \ 1). [para(2034(a,1),17(a,1,2))]. 2036 (x * y) * K(x,x \ 1) = x * (y * K(x,x \ 1)). [para(16(a,1),2035(a,1,2,1)),flip(a)]. 2037 R(x,y,K(x,x \ 1)) = x. [hyper(376,a,2036,a)]. 2038 L(K(x,x \ 1),y,x) = K(x,x \ 1). [hyper(346,a,2036,a)]. 2039 R(T(x,y),z,K(x,x \ 1)) = T(x,y). [para(2037(a,1),45(a,2,1))]. 2040 (x * y) / K(x,x \ 1) = x * (y / K(x,x \ 1)). [para(2038(a,1),398(a,1,2))]. 2041 T(x,y * K(x,x \ 1)) = T(x,y). [hyper(189,a,1566,a(flip),b,2039,a(flip))]. 2043 T(x \ 1,y * K(x \ 1,x)) = T(x \ 1,y). [para(1538(a,1),2041(a,1,2,2))]. 2044 T(x,R(x \ 1,x,y)) = T(x,y / (x * y)). [para(1746(a,2),2041(a,1,2)),flip(a)]. 2045 (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(2044(a,1),152(a,1,2,1))]. 2046 K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)) = x \ T(x,y / (x * y)). [para(2044(a,1),2018(a,2,2))]. 2047 T(x \ 1,T(x,x \ 1)) = T(x \ 1,x). [para(1143(a,1),2043(a,1,2)),flip(a)]. 2048 T(x \ T(x,y),T(x,x \ 1)) = K(y \ (y / T(x \ 1,x)),y). [para(2047(a,1),1378(a,2,1,2,2))]. 2049 (1 / K(x,x \ 1)) * T(y,x) = T(K(x \ 1,x) * y,x). [para(339(a,1),2032(a,1,1,1)),flip(a)]. 2050 T(K(x \ 1,x) * y,x) = K(x \ 1,x) * T(y,x). [para(339(a,1),2049(a,1,1)),flip(a)]. 2051 x * T(K(x \ 1,x) * y,x) = K(x \ 1,x) * (y * x). [para(2050(a,2),1192(a,1,2))]. 2052 (K(x \ 1,x) * y) * x = K(x \ 1,x) * (y * x). [hyper(205,a,2051,a)]. 2053 L(x,y,K(x \ 1,x)) = x. [hyper(346,a,2052,a)]. 2054 L(T(x,y),z,K(x \ 1,x)) = T(x,y). [para(2053(a,1),43(a,2,1))]. 2055 T(x,K(x \ 1,x) * y) = T(x,y). [hyper(1699,a,2054,a)]. 2056 T(x,L(x \ y,x,x \ 1)) = T(x,(x \ 1) * y). [para(813(a,1),2055(a,1,2)),flip(a)]. 2057 T(x \ T(x,y),T(x,x \ 1)) = T(x \ T(x,y),x). [hyper(189,a,1378,a,b,2048,a)]. 2058 T((x * y) \ (y * x),T(y,y \ 1)) = L(T(y \ T(y,x),y),y,x). [para(2057(a,1),585(a,1,1)),flip(a)]. 2059 T((x * y) \ (y * x),T(y,y \ 1)) = T((x * y) \ (y * x),y). [hyper(189,a,585,a(flip),b,2058,a)]. 2060 T((x * y) \ (y * x),T(y,y \ 1)) = T(K(y,x),y). [para(29(a,2),2059(a,2,1))]. 2061 T(K(x,y),T(x,x \ 1)) = T(K(x,y),x). [para(29(a,2),2060(a,1,1))]. 2062 K(x \ T(x,y),(x \ 1) / (x \ T(x,y))) = (x \ T(x,y)) * ((x \ 1) \ (T(x,y) \ 1)). [para(1851(a,1),1708(a,1,2,2)),flip(a)]. 2063 (x \ T(x,y)) * ((x \ 1) \ (T(x,y) \ 1)) = 1. [hyper(189,a,1853,a(flip),b,2062,a(flip))]. 2064 (x \ 1) \ (T(x,y) \ 1) = (x \ T(x,y)) \ 1. [hyper(75,a,1853,a(flip),b,2062,a(flip)),flip(a)]. 2066 (x \ T(x,y)) \ 1 != z | (x \ 1) \ (T(x,y) \ 1) = z. [para(2063(a,1),237(a,1,2)),flip(b)]. 2067 K(x,y) * T(K(x,y) \ (K(x,y) / (y \ 1)),z) = (y * K(x,y)) * (y \ T(y,z)). [para(770(a,1),1946(a,2,2))]. 2068 K(x,y) * T(K(x,y) \ (y * K(x,y)),z) = (y * K(x,y)) * (y \ T(y,z)). [para(1944(a,1),2067(a,1,2,1,2))]. 2069 K(x,y) * T(T(y,K(x,y)),z) = (y * K(x,y)) * (y \ T(y,z)). [para(35(a,2),2068(a,1,2,1))]. 2070 K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)) = L(x \ x,y,z). [para(1339(a,1),1976(a,1,1,2)),flip(a)]. 2071 K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)) = L(1,y,z). [para(59(a,1),2070(a,2,1))]. 2072 K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)) = 1. [hyper(189,a,265,a(flip),b,2071,a)]. 2075 ((x * L(x \ 1,y,z)) \ x) * (x * L(x \ 1,y,z)) = x * 1. [para(2072(a,1),213(a,1,2)),flip(a)]. 2076 ((x * L(x \ 1,y,z)) \ x) * (x * L(x \ 1,y,z)) = x. [hyper(189,a,15,a(flip),b,2075,a)]. 2077 x * (y * L(y \ 1,z,u)) != y | (y * L(y \ 1,z,u)) \ y = x. [para(2076(a,1),23(a,1)),flip(a)]. 2078 (((x * y) \ x) \ K(y,x)) / (L(y \ 1,y,x) \ 1) = K(y,x). [hyper(189,a,906,a,b,907,a)]. 2079 (((x * y) \ x) \ K(y,x)) / (((x * y) \ x) \ 1) = K(y,x). [para(140(a,1),2078(a,1,2,1))]. 2080 T(K(x,y),((y * x) \ y) \ 1) != z | (((y * x) \ y) \ 1) \ (((y * x) \ y) \ K(x,y)) = z. [para(2079(a,1),307(a,1,1))]. 2081 R(L(x / (y \ 1),z,u),y \ 1,(y \ 1) \ 1) = (y \ L(y * x,z,u)) * T(y,y \ 1). [para(817(a,1),919(a,1,1)),flip(a)]. 2082 (x \ L(x * y,z,u)) * T(x,x \ 1) = L(y * ((x \ 1) \ 1),z,u). [hyper(189,a,463,a(flip),b,2081,a(flip))]. 2083 (T(x,y) * (L(x,z,u) * y)) \ ((L(x,z,u) * y) * T(T(x,y),y)) = a(T(x,y),y,L(T(x,y),z,u)). [para(159(a,1),1703(a,1,2,1))]. 2084 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(1018(a,1),1805(a,2,2,1))]. 2085 T(x,y) * ((T(x,y) \ T(x,z)) / T(x,z)) = T(K(T(x,z),1 / x),y). [para(1326(a,1),2084(a,1,1)),flip(a)]. 2086 K(T(x,y),1 / T(x,z)) = T(K(T(x,y),1 / x),z). [hyper(189,a,1417,a(flip),b,2085,a(flip)),flip(a)]. 2087 T(K(T(x,y),1 / x),y) != z | K(T(x,y),T(x,y) \ 1) = z. [para(2086(a,1),1559(a,1))]. 2088 T(x,y) * ((T(x,y) / x) \ (1 / x)) = K(T(x,y),T(x,y) \ 1). [hyper(2087,a,1928,a(flip)),flip(a)]. 2089 (T(x,y) / x) \ (1 / x) = 1 / T(x,y). [hyper(20,a,1535,a(flip),b,2088,a)]. 2090 (T(T(x,x \ 1),y) / T(x,x \ 1)) \ (x \ 1) = 1 / T(T(x,x \ 1),y). [para(174(a,1),2089(a,1,2))]. 2091 (x \ T(x,y)) \ (x \ 1) = 1 / T(T(x,x \ 1),y). [para(1528(a,1),2090(a,1,1))]. 2092 1 / T(T(x,x \ 1),y) = T(x,y) \ 1. [hyper(189,a,1854,a(flip),b,2091,a(flip))]. 2093 T(T(x,x \ 1),y) = (T(x,y) \ 1) \ 1. [para(2092(a,1),69(a,1,1)),flip(a)]. 2094 T(1 / (1 / x),y) \ 1 = 1 / T(x,y). [para(228(a,1),2092(a,1,2,1)),flip(a)]. 2095 (T(x,y) \ 1) \ 1 = T((x \ 1) \ 1,y). [hyper(189,a,525,a(flip),b,2093,a(flip))]. 2096 (T(1 / x,y) \ 1) \ 1 = T(x \ 1,y). [para(497(a,1),2093(a,1,1)),flip(a)]. 2097 1 / (1 / T(x,y)) = T(1 / (1 / x),y). [para(2094(a,1),67(a,1,2))]. 2098 T(((x / y) \ 1) \ 1,y) = ((y \ x) \ 1) \ 1. [para(115(a,1),2095(a,1,1,1)),flip(a)]. 2099 T(x,y) * K(T(x,y) \ 1,T(x,y)) = T(1 / (1 / x),y). [hyper(189,a,474,a,b,2097,a(flip)),flip(a)]. 2100 T(1 / (1 / (x / y)),y) = 1 / (1 / (y \ x)). [para(115(a,1),2097(a,1,2,2)),flip(a)]. 2101 ((x * T(1 / (1 / y),x)) / x) \ (y / T(y,x)) = 1 / T(y,x). [para(2097(a,1),1292(a,1,1,1,2))]. 2102 T(x,((y * x) / y) \ 1) = ((y \ (y * x)) \ 1) \ 1. [hyper(608,a,2098,a)]. 2103 (((x / y) \ 1) \ 1) * y = y * (((y \ x) \ 1) \ 1). [para(2098(a,1),113(a,1,2)),flip(a)]. 2104 (x * (((x \ y) \ 1) \ 1)) / x = ((y / x) \ 1) \ 1. [para(2098(a,1),143(a,1,1,2))]. 2105 (1 / (1 / (x / y))) * y = y * (1 / (1 / (y \ x))). [para(2100(a,1),113(a,1,2)),flip(a)]. 2106 (x * (1 / (1 / (x \ y)))) / x = 1 / (1 / (y / x)). [para(2100(a,1),143(a,1,1,2))]. 2107 T(x,((y * x) / y) \ 1) = (x \ 1) \ 1. [para(16(a,1),2102(a,2,1,1))]. 2108 T(x,y / (y * x)) = (x \ 1) \ 1. [hyper(189,a,1775,a(flip),b,2107,a(flip)),flip(a)]. 2110 T(x,y / (y * x)) = T(x,x \ 1). [hyper(189,a,114,a,b,2108,a)]. 2111 T(x \ y,x / y) = ((x \ y) \ 1) \ 1. [para(17(a,1),2108(a,1,2,2))]. 2112 (x / (x * y)) * T(y,y \ 1) = y * (x / (x * y)). [para(2110(a,1),113(a,1,2))]. 2113 T(x \ (y \ x),y) = ((x \ (y \ x)) \ 1) \ 1. [para(67(a,1),2111(a,1,2))]. 2114 1 / T(x \ (y \ x),y) = (x \ (y \ x)) \ 1. [para(2113(a,2),67(a,1,2))]. 2115 ((R(x / y,y,z) \ 1) \ 1) * (y * z) = (y * z) * ((((y * z) \ (x * z)) \ 1) \ 1). [para(111(a,2),2103(a,1,1,1,1))]. 2116 (x * ((y \ 1) \ 1)) / x = (((x * y) / x) \ 1) \ 1. [para(16(a,1),2104(a,1,1,2,1,1))]. 2118 T(1 / (1 / (x / y)),y) != z | 1 / (1 / (y \ x)) = z. [para(2106(a,1),242(a,1,1)),flip(b)]. 2119 (1 / (1 / x)) \ (x / T(x,y)) = 1 / T(x,y). [para(143(a,1),2101(a,1,1))]. 2121 L(1 / x,K(x \ 1,x),y) * (y * K(x \ 1,x)) = y * ((x \ 1) * (x * T(x \ 1,y))). [para(2043(a,1),1451(a,1,2,2,2)),flip(a)]. 2122 x * T(((x * T(y,z)) / T(y,z)) \ (x * y),u) = ((x * T(y,z)) * T(y,u)) / T(y,z). [para(18(a,1),1581(a,1,1))]. 2123 ((x * T(y,z)) * T(y,u)) / T(y,z) = x * T(x \ (x * y),u). [para(18(a,1),2122(a,1,2,1,1)),flip(a)]. 2124 ((x * T(y,z)) * T(y,u)) / T(y,z) = x * T(y,u). [para(16(a,1),2123(a,2,2,1))]. 2125 (x * T(y,z)) / T(y,u) = (x / T(y,u)) * T(y,z). [para(19(a,1),2124(a,1,1,1))]. 2126 (x * R(x \ 1,x,y)) \ (x * (y / (x * y))) = K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)). [para(1677(a,1),2045(a,1,2))]. 2127 K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)) = K(x,y / (x * y)). [hyper(607,a,2126,a),flip(a)]. 2128 x \ T(x,y / (x * y)) = K(x,y / (x * y)). [hyper(189,a,2046,a(flip),b,2127,a(flip)),flip(a)]. 2129 K(x,y / (x * y)) = K(x,x \ 1). [hyper(1771,a,2128,a),flip(a)]. 2130 K(x,y / (x * y)) != z | K(x,x \ 1) = z. [para(2128(a,1),1771(a,1))]. 2131 K(x / y,(x / y) \ 1) = K(x / y,y / x). [para(19(a,1),2129(a,1,2,2)),flip(a)]. 2132 K(x / y,y / x) != z | K(x / y,(x / y) \ 1) = z. [para(19(a,1),2130(a,1,2,2))]. 2133 (K(x / y,y / x) * y) / x = ((x / y) * (y / x)) / (x / y). [para(2131(a,1),1706(a,1,1,1))]. 2134 K(x / (y * x),y) != z | K(x / (y * x),(x / (y * x)) \ 1) = z. [para(18(a,1),2132(a,1,2))]. 2135 (K(x / y,y / x) * y) / x = 1 / (1 / (y / x)). [hyper(189,a,1767,a(flip),b,2133,a)]. 2136 (K((x * y) / y,y / (x * y)) * y) / (x * y) = 1 / (1 / R(1 / x,x,y)). [para(141(a,2),2135(a,2,2,2))]. 2137 (x * (R(y / z,z,y \ u) / x)) * (z * (y \ u)) = (x * ((u / (z * (y \ u))) / x)) * (z * (y \ u)). [hyper(189,a,1789,a(flip),b,1792,a)]. 2138 ((x \ T(x,y)) * x) * L(z,(x \ 1) * x,T(T(x,x \ 1),y)) = R(T(x,y),x \ 1,x) * (((x \ 1) * x) * z). [para(773(a,1),1358(a,1,1,1))]. 2139 ((x \ T(x,y)) * x) * L(z,K(x \ 1,x),T(T(x,x \ 1),y)) = R(T(x,y),x \ 1,x) * (((x \ 1) * x) * z). [para(165(a,2),2138(a,1,2,2))]. 2140 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(632(a,1),2015(a,1,1,2,1))]. 2141 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(1660(a,1),2140(a,1,1,2)),flip(a)]. 2143 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((x * ((z * u) / ((y * z) * u))) / x) * ((y * z) * u). [para(110(a,1),1281(a,1,1,1,2,2)),flip(a)]. 2144 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((y * z) * u) * ((x * (((y * z) * u) \ (z * u))) / x). [hyper(189,a,680,a(flip),b,2143,a)]. 2145 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((y * z) * ((x * ((y * z) \ z)) / x)) * u. [hyper(189,a,1785,a(flip),b,2144,a)]. 2146 (R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u)) * (y * z) = ((x * y) * ((u * ((x * y) \ y)) / u)) * z. [para(680(a,1),2145(a,1,1))]. 2147 (R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u)) * (y * z) = ((x * ((u * (x \ 1)) / u)) * y) * z. [para(1796(a,1),2146(a,2,1))]. 2148 R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u) = R(x * ((u * (x \ 1)) / u),y,z). [hyper(21,a,110,a,b,2147,a)]. 2149 R(x * ((y * (x \ 1)) / y),z,u) = K(y,(y / R(x,z,u)) / y). [hyper(1320,a,2148,a),flip(a)]. 2150 R(x * ((R(x,y,z) * (x \ 1)) / R(x,y,z)),y,z) = R(x,y,z) * (1 / R(x,y,z)). [para(17(a,1),2148(a,1,2,1)),flip(a)]. 2151 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(189,a,1535,a,b,2150,a)]. 2152 R(x * ((x \ R(x,y,z)) / R(x,y,z)),y,z) = K(R(x,y,z),R(x,y,z) \ 1). [para(867(a,1),2151(a,1,1,2,1))]. 2153 (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(31(a,2),1314(a,2,2,1,1))]. 2154 (x * y) \ (x * ((y * z) * L((y * z) \ (x \ (x * y)),u,w))) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). [para(811(a,1),2153(a,1,2))]. 2155 (x * y) \ (x * ((y * z) * L((y * z) \ y,u,w))) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). [para(16(a,1),2154(a,1,2,2,2,1,2))]. 2156 (x * y) \ (x * (y * (z * L(z \ 1,u,w)))) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). [para(709(a,1),2155(a,1,2,2))]. 2157 L(x,y,z) * L(L(x,y,z) \ 1,u,w) = L(x * L(x \ 1,u,w),y,z). [hyper(355,a,2156,a),flip(a)]. 2158 L(x,y,z) * L(L(x,y,z) \ 1,(x \ 1) \ 1,x \ 1) = L(x * (1 / (1 / (x \ 1))),y,z). [para(472(a,1),2157(a,2,1,2))]. 2159 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(1262(a,1),2157(a,1,2))]. 2160 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(15(a,1),2159(a,1,2,2)),flip(a)]. 2161 L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)) = L(K(L(x,y,z),1 / x),y,z). [para(1981(a,1),2160(a,1,1)),flip(a)]. 2162 (x * y) \ ((x * (y * z)) * R((x * (y * z)) \ (x * y),u,w)) = L(z,y,x) * R(L(z,y,x) \ 1,u,w). [para(31(a,2),1316(a,2,2,1,1))]. 2163 (x * y) \ (x * ((y * z) * R((y * z) \ y,u,w))) = L(z,y,x) * R(L(z,y,x) \ 1,u,w). [para(809(a,1),2162(a,1,2))]. 2164 (x * y) \ (x * (y * (z * R(z \ 1,u,w)))) = L(z,y,x) * R(L(z,y,x) \ 1,u,w). [para(705(a,1),2163(a,1,2,2))]. 2165 L(x,y,z) * R(L(x,y,z) \ 1,u,w) != v5 | L(x * R(x \ 1,u,w),y,z) = v5. [para(2164(a,1),355(a,1))]. 2166 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(2165,a,968,a)]. 2167 ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z) = L(x * T(x \ 1,L(x,y,z)),y,z). [para(1348(a,1),2166(a,1,1,2)),flip(a)]. 2168 ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z) = K(L(x,y,z) \ 1,L(x,y,z)). [hyper(189,a,1974,a(flip),b,2167,a)]. 2169 (x \ 1) / (x \ L(x,y,z)) = L(x,y,z) \ 1. [hyper(21,a,165,a(flip),b,2168,a)]. 2170 (L(x,y,z) \ 1) \ (x \ 1) = x \ L(x,y,z). [para(2169(a,1),69(a,1,1))]. 2171 x / ((1 / x) \ L(1 / x,y,z)) = L(1 / x,y,z) \ 1. [para(69(a,1),2169(a,1,1))]. 2173 R(x,y,z) \ L(R(x,y,z),x \ 1,x) = (R(1 / (1 / x),y,z) \ 1) \ (R(x,y,z) \ 1). [para(475(a,1),2170(a,1,1,1)),flip(a)]. 2174 x / (x * L(x \ 1,y,z)) = L(1 / x,y,z) \ 1. [para(819(a,1),2171(a,1,2))]. 2175 (L(1 / x,y,z) \ 1) * (x * L(x \ 1,y,z)) = x. [para(2174(a,1),19(a,1,1))]. 2176 (x * L(x \ 1,y,z)) \ x = L(1 / x,y,z) \ 1. [hyper(2077,a,2175,a)]. 2177 L(1 / (1 / x),y,z) \ 1 = (L(x,y,z) / x) \ (1 / x). [para(1286(a,1),2176(a,1,1)),flip(a)]. 2178 (R(1 / (1 / x),y,z) \ 1) \ (R(x,y,z) \ 1) = R(x,y,z) \ R(1 / (1 / x),y,z). [para(475(a,1),2173(a,1,2)),flip(a)]. 2179 (x * (y * z)) * ((u * ((x * (y * z)) \ (x * y))) / u) = (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)). [para(102(a,1),1401(a,1,2,1,2,1))]. 2180 (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)) = x * ((y * z) * ((u * ((y * z) \ y)) / u)). [hyper(189,a,1397,a(flip),b,2179,a(flip))]. 2181 (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)) = x * (y * (z * ((u * (z \ 1)) / u))). [para(1398(a,1),2180(a,2,2))]. 2182 L(x,y,z) * ((u * (L(x,y,z) \ 1)) / u) = L(x * ((u * (x \ 1)) / u),y,z). [hyper(346,a,2181,a),flip(a)]. 2183 L(x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)),y,z) = L(x,y,z) * (1 / L(x,y,z)). [para(17(a,1),2182(a,1,2,1)),flip(a)]. 2184 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(189,a,1535,a,b,2183,a)]. 2185 L(K(L(x,y,z),1 / x),y,z) = K(L(x,y,z),L(x,y,z) \ 1). [para(1325(a,1),2184(a,1,1))]. 2186 L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)) = K(L(x,y,z),L(x,y,z) \ 1). [hyper(189,a,2161,a,b,2185,a(flip)),flip(a)]. 2187 (L(x,y,z) / x) \ (1 / x) = 1 / L(x,y,z). [hyper(20,a,1535,a(flip),b,2186,a)]. 2188 L(1 / (1 / x),y,z) \ 1 = 1 / L(x,y,z). [hyper(189,a,2177,a,b,2187,a(flip)),flip(a)]. 2189 L(1 / (1 / x),y,z) = 1 / (1 / L(x,y,z)). [para(2188(a,1),67(a,1,2)),flip(a)]. 2190 1 / L(x \ 1,y,z) = L(1 / x,y,z) \ 1. [para(67(a,1),2188(a,1,1,1,2)),flip(a)]. 2191 1 / L(K(x,y),z,u) = L(K(x,y),z,u) \ 1. [para(2005(a,1),2188(a,1,1,1)),flip(a)]. 2192 1 / (1 / L(x \ 1,y,z)) = L(1 / x,y,z). [para(67(a,1),2189(a,1,1,2)),flip(a)]. 2193 (L(1 / x,y,z) \ 1) \ 1 = L(x \ 1,y,z). [para(2190(a,1),69(a,1,1))]. 2194 (L(K(x,y),z,u) \ 1) \ 1 = L(K(x,y),z,u). [para(2191(a,1),69(a,1,1))]. 2195 L(1 / x,x,y) = 1 / (1 / ((y * x) \ y)). [para(140(a,1),2192(a,1,2,2)),flip(a)]. 2196 L(1 / (x \ y),x \ y,x) = 1 / (1 / (y \ x)). [para(276(a,1),2192(a,1,2,2)),flip(a)]. 2197 L(1 / x,x,y / x) = 1 / (1 / (y \ (y / x))). [para(279(a,1),2192(a,1,2,2)),flip(a)]. 2198 K(L(x \ 1,x,y) \ 1,L(x \ 1,x,y)) = ((y * x) \ y) \ L(1 / x,x,y). [para(2192(a,1),574(a,2,2))]. 2199 L(x,x \ 1,y) = 1 / (1 / ((y * (x \ 1)) \ y)). [para(67(a,1),2195(a,1,1))]. 2200 L((x \ 1) \ 1,y,z) = (L(x,y,z) \ 1) \ 1. [para(67(a,1),2193(a,1,1,1,1)),flip(a)]. 2202 L((((x \ y) \ z) \ 1) \ 1,x \ y,x) = ((y \ (x * z)) \ 1) \ 1. [para(359(a,1),2200(a,2,1,1))]. 2203 L(T(x \ 1,x),y,z) = (L(x \ 1,y,z) \ 1) \ 1. [para(627(a,2),2200(a,1,1))]. 2204 x * ((x \ y) * (1 / (x \ y))) = y * (1 / (1 / (y \ x))). [para(2196(a,1),344(a,1,2)),flip(a)]. 2205 x \ ((x / y) * K(y,y \ 1)) = 1 / (1 / (x \ (x / y))). [hyper(189,a,1555,a,b,2197,a(flip)),flip(a)]. 2206 x * K(x \ y,y \ x) = y * (1 / (1 / (y \ x))). [para(2000(a,1),2204(a,1,2))]. 2207 x \ (y * K(y \ x,x \ y)) = 1 / (1 / (x \ y)). [hyper(426,a,2206,a)]. 2209 L(x \ (1 / (1 / (y \ (y * x)))),x,y) = K((y * x) \ y,y \ (y * x)). [para(2207(a,1),343(a,1,1,2))]. 2210 (x / y) * K(y,y \ 1) = x * (1 / (1 / (x \ (x / y)))). [para(2205(a,1),17(a,1,2)),flip(a)]. 2211 K((x / y) \ x,x \ (x / y)) = K(y,y \ 1). [hyper(20,a,2206,a,b,2210,a),flip(a)]. 2212 L(T((x \ y) \ z,z \ (x \ y)),x \ y,x) = ((y \ (x * z)) \ 1) \ 1. [para(1986(a,2),2202(a,1,1))]. 2213 L(x \ (1 / (1 / x)),x,y) = K((y * x) \ y,y \ (y * x)). [para(16(a,1),2209(a,1,1,2,2,2))]. 2214 L(K(x \ 1,x),x,y) = K((y * x) \ y,y \ (y * x)). [para(477(a,1),2213(a,1,1))]. 2215 T(x \ (y * z),z \ (y \ x)) = ((x \ (y * z)) \ 1) \ 1. [hyper(189,a,582,a(flip),b,2212,a(flip)),flip(a)]. 2216 T(a(x,y,z),z \ ((x * y) \ (x * (y * z)))) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(27(a,2),2215(a,1,1))]. 2217 T(a(x,y,z),z \ L(z,y,x)) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(31(a,2),2216(a,1,2,2))]. 2218 T(a(x,y,z),z \ L(z,y,x)) = (a(x,y,z) \ 1) \ 1. [para(27(a,2),2217(a,2,1,1))]. 2219 (((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(33(a,2),1725(a,2,2,1,1))]. 2220 (((x * y) * R((x * y) \ y,z,u)) * w) / (y * w) = R(x,y,w) * R(R(x,y,w) \ 1,z,u). [para(1634(a,1),2219(a,1,1))]. 2221 (((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),2220(a,1,1,1))]. 2222 R(x,y,z) * R(R(x,y,z) \ 1,u,w) = R(x * R(x \ 1,u,w),y,z). [hyper(385,a,2221,a),flip(a)]. 2224 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(189,a,872,a(flip),b,2222,a(flip))]. 2225 ((x \ 1) / (x \ R(x,y,z))) * R(x,y,z) = R(x * T(x \ 1,R(x,y,z)),y,z). [para(1662(a,1),2224(a,1,1,2)),flip(a)]. 2226 ((x \ 1) / (x \ R(x,y,z))) * R(x,y,z) = K(R(x,y,z) \ 1,R(x,y,z)). [hyper(189,a,2014,a(flip),b,2225,a)]. 2227 (x \ 1) / (x \ R(x,y,z)) = R(x,y,z) \ 1. [hyper(21,a,165,a(flip),b,2226,a)]. 2228 ((x * y) * (z * L(z \ ((x * y) \ (y * z)),u,w))) / (R(x,y,z) \ ((x * y) * z)) = R(x,y,z) * L(R(x,y,z) \ 1,u,w). [para(811(a,1),1241(a,1,1))]. 2229 K(x,y) * (z * T(z \ L((y \ 1) \ z,y \ 1,y * K(x,y)),u)) = ((y * K(x,y)) * (y \ T(y,u))) * z. [para(770(a,1),1945(a,2,1,2))]. 2230 (((x * y) * L((x * y) \ y,z,u)) * w) / (R(x,y,w) \ ((x * y) * w)) = R(x,y,w) * L(R(x,y,w) \ 1,z,u). [para(1334(a,1),2228(a,1,1))]. 2231 (((x * L(x \ 1,y,z)) * u) * w) / (R(x,u,w) \ ((x * u) * w)) = R(x,u,w) * L(R(x,u,w) \ 1,y,z). [para(1337(a,1),2230(a,1,1,1))]. 2232 (((x * L(x \ 1,y,z)) * u) * w) / (u * w) = R(x,u,w) * L(R(x,u,w) \ 1,y,z). [para(133(a,1),2231(a,1,2))]. 2233 R(x,y,z) * L(R(x,y,z) \ 1,u,w) = R(x * L(x \ 1,u,w),y,z). [hyper(385,a,2232,a),flip(a)]. 2235 R(x,y,z) * L(R(x,y,z) \ 1,x,1 / x) = R(x * T(1 / x,1),y,z). [para(579(a,1),2233(a,2,1,2))]. 2236 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(880(a,1),2233(a,1,2))]. 2237 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(x * T(1 / x,1),y,z). [para(929(a,1),2235(a,1,2))]. 2238 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(x * (1 / x),y,z). [para(188(a,1),2237(a,2,1,2))]. 2239 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(K(x,x \ 1),y,z). [para(1535(a,2),2238(a,2,1))]. 2240 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(15(a,1),2236(a,1,2,2)),flip(a)]. 2241 (1 / x) * ((((y * x) \ y) \ (((y * x) \ y) * x)) * ((y * x) \ y)) = (T(x,(y * x) \ y) / x) * ((y * x) \ y). [para(792(a,1),1207(a,2,1))]. 2242 (T(x,(y * x) \ y) / x) * ((y * x) \ y) = (1 / x) * (x * ((y * x) \ y)). [para(16(a,1),2241(a,1,2,1)),flip(a)]. 2243 (T(x,(y * x) \ y) / x) * ((y * x) \ y) = L(1 / x,x,y). [hyper(189,a,710,a(flip),b,2242,a)]. 2244 K(x,(y * x) \ y) * ((y * x) \ y) = L(1 / x,x,y). [para(1720(a,1),2243(a,1,1))]. 2245 K(x,x \ 1) * ((y * x) \ y) = L(1 / x,x,y). [para(1990(a,1),2244(a,1,1))]. 2246 ((x * y) \ x) * T(K(y,y \ 1),(x * y) \ x) = L(1 / y,y,x). [hyper(206,a,2245,a)]. 2248 ((x * y) \ x) * K(y,y \ 1) = L(1 / y,y,x). [para(1152(a,1),2246(a,1,2))]. 2249 ((x * y) \ x) \ L(1 / y,y,x) = K(y,y \ 1). [hyper(80,a,2248,a)]. 2251 K(L(x \ 1,x,y) \ 1,L(x \ 1,x,y)) = K(x,x \ 1). [hyper(189,a,2198,a,b,2249,a(flip)),flip(a)]. 2253 x * T(y,L(y \ 1,y,x)) = (x * y) * K(y,y \ 1). [para(2251(a,1),1098(a,1,2)),flip(a)]. 2254 (x * y) * K(y,y \ 1) = x * ((y \ 1) \ 1). [para(1987(a,1),2253(a,1,2)),flip(a)]. 2255 (x * y) * K(y,y \ 1) = x * T(y,y \ 1). [para(1989(a,1),2253(a,1,2)),flip(a)]. 2257 (x / y) * ((y \ 1) \ 1) = x * K(y,y \ 1). [hyper(252,a,2254,a),flip(a)]. 2258 (x * K(y,y \ 1)) * y = x * ((y \ 1) \ 1). [hyper(189,a,1562,a,b,2254,a(flip)),flip(a)]. 2259 K(x,x \ 1) \ (y * ((x \ 1) \ 1)) != z | T(y * x,K(x,x \ 1)) = z. [para(2254(a,1),238(a,1,2))]. 2261 (x * K(y,y \ 1)) * y = x * T(y,y \ 1). [hyper(189,a,1562,a,b,2255,a(flip)),flip(a)]. 2262 (x / T(y,y \ 1)) * K(y,y \ 1) = x / y. [hyper(76,a,258,a(flip),b,2258,a),flip(a)]. 2263 (x * (y \ 1)) * K(y,y \ 1) = x * (1 / y). [hyper(21,a,491,a(flip),b,2258,a)]. 2266 (x * K(y,y \ 1)) * y = x * (K(y,y \ 1) * y). [para(1540(a,2),2258(a,2,2))]. 2267 (x / (y \ 1)) * (1 / y) = x * K(y,y \ 1). [hyper(252,a,2263,a),flip(a)]. 2268 (x * y) * (y \ 1) = R(x,y,1 / y). [hyper(21,a,1547,a,b,2263,a)]. 2269 ((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(2263(a,1),378(a,1,1))]. 2270 R(x,y,1 / y) = R(x,y,y \ 1). [hyper(387,a,2268,a),flip(a)]. 2271 (x * (y \ 1)) * ((y \ 1) \ 1) = R(x,y \ 1,y). [para(67(a,1),2268(a,2,3))]. 2272 (x * (1 / y)) * y = R(x,y \ 1,y). [hyper(189,a,491,a(flip),b,2271,a(flip)),flip(a)]. 2273 R(x,y \ 1,y) / y = x * (1 / y). [hyper(76,a,2271,a(flip),b,491,a(flip))]. 2274 R(x,y \ 1,y) != z | R(x,y \ 1,(y \ 1) \ 1) = z. [para(2271(a,1),387(a,1))]. 2275 R(x,1 / y,y) = R(x,y \ 1,y). [hyper(591,a,2272,a)]. 2276 R(x / (1 / y),y \ 1,y) = x * y. [hyper(252,a,2272,a),flip(a)]. 2277 ((1 / x) * K(y,x)) * x = R(K(y,x),x \ 1,x). [para(1821(a,1),2272(a,1,1))]. 2278 R(x,(1 / y) \ 1,1 / y) / (1 / y) = x * (y * K(y \ 1,y)). [para(474(a,2),2273(a,2,2))]. 2279 R(x,K(y,y \ 1),y) = x. [hyper(376,a,2266,a)]. 2280 L(x,K(x,x \ 1),y) = x. [hyper(346,a,2266,a)]. 2281 R(x,K(y \ 1,y),1 / y) = x. [para(1835(a,1),2279(a,1,2))]. 2282 L(1 / x,K(x \ 1,x),y) = 1 / x. [para(1835(a,1),2280(a,1,2))]. 2283 L(1 / (1 / x),K(x,x \ 1),y) = 1 / (1 / x). [para(2280(a,1),2189(a,2,2,2))]. 2284 (x * K(y \ 1,y)) * (1 / y) = x * (y \ 1). [para(2281(a,1),1831(a,1,1)),flip(a)]. 2285 x * ((y \ 1) * (y * T(y \ 1,x))) = (1 / y) * (x * K(y \ 1,y)). [para(2282(a,1),2121(a,1,1)),flip(a)]. 2286 (x / (y \ 1)) * K(y \ 1,y) = x / (1 / y). [hyper(76,a,19,a(flip),b,2284,a),flip(a)]. 2287 R(x * K(y \ 1,y),y \ 1,y) = (x * (y \ 1)) * y. [para(2284(a,1),2272(a,1,1)),flip(a)]. 2290 (x * K(y,y \ 1)) \ (x * y) = 1 / (1 / y). [hyper(189,a,1611,a(flip),b,2283,a(flip)),flip(a)]. 2292 (x / y) * K(y,y \ 1) = x / (1 / (1 / y)). [para(2290(a,1),234(a,1,2)),flip(a)]. 2293 x * (1 / (1 / (x \ (x / y)))) = x / (1 / (1 / y)). [hyper(189,a,2210,a(flip),b,2292,a(flip)),flip(a)]. 2294 1 / (1 / (x \ (x / y))) = x \ (x / (1 / (1 / y))). [hyper(75,a,2292,a(flip),b,2210,a(flip)),flip(a)]. 2295 x / (1 / (1 / (y \ x))) = x * (1 / (1 / (x \ y))). [para(67(a,1),2293(a,1,2,2,2,2)),flip(a)]. 2296 (x \ (x / (1 / (1 / y)))) \ 1 = 1 / (x \ (x / y)). [para(2294(a,1),69(a,1,1))]. 2297 x / (1 / (1 / ((x * y) \ x))) = x * (1 / (1 / y)). [para(16(a,1),2295(a,2,2,2,2))]. 2298 1 / (x \ (x / (y \ 1))) = (x \ (x / (1 / y))) \ 1. [para(67(a,1),2296(a,1,1,2,2,2)),flip(a)]. 2299 1 / (x \ (x / ((y \ 1) \ 1))) = (x \ (x / y)) \ 1. [para(130(a,1),2296(a,1,1,2,2)),flip(a)]. 2300 x / L(y,y \ 1,x) = x * (1 / (1 / (y \ 1))). [para(2199(a,2),2297(a,1,2))]. 2301 x / L(y,y \ 1,x) = x * (1 / y). [para(67(a,1),2300(a,2,2,2))]. 2302 L(x,x \ 1,y) = (y * (1 / x)) \ y. [para(2301(a,1),69(a,1,1)),flip(a)]. 2303 K(x \ (x / L(y,y \ 1,x)),z) = K(1 / y,z). [para(2301(a,2),1215(a,1,1,2))]. 2304 L(x,1 / x,y) = L(x,x \ 1,y). [hyper(189,a,284,a,b,2302,a),flip(a)]. 2305 L(x \ 1,(x \ 1) \ 1,y) = L(x \ 1,x,y). [para(67(a,1),2304(a,1,2)),flip(a)]. 2306 L(x \ 1,T(x,x \ 1),y) = L(x \ 1,x,y). [para(114(a,2),2305(a,1,2))]. 2307 L(T(x \ 1,x),T(x,x \ 1),y) = (L(x \ 1,x,y) \ 1) \ 1. [para(2306(a,1),2203(a,2,1,1))]. 2308 L(x * T(x \ 1,y),x \ 1,y) = K(1 / x,y). [hyper(189,a,1973,a,b,2303,a(flip)),flip(a)]. 2309 L((1 / x) * T((1 / x) \ 1,y),x,y) = K(1 / (1 / x),y). [para(69(a,1),2308(a,1,2))]. 2310 ((x \ (x / y)) \ 1) \ 1 = x \ (x / ((y \ 1) \ 1)). [para(2299(a,1),69(a,1,1))]. 2311 T(x \ (x / y),y) = x \ (x / ((y \ 1) \ 1)). [hyper(189,a,1996,a,b,2310,a(flip)),flip(a)]. 2312 x * T(x \ (x / y),y) = x / ((y \ 1) \ 1). [para(2311(a,2),17(a,1,2))]. 2313 (x / y) * K(y \ 1,y) = x / ((y \ 1) \ 1). [hyper(189,a,842,a,b,2312,a(flip)),flip(a)]. 2314 (x * y) / ((y \ 1) \ 1) = x * K(y \ 1,y). [para(18(a,1),2313(a,1,1)),flip(a)]. 2316 (x / ((y \ 1) \ 1)) * y = x * K(y \ 1,y). [para(2313(a,1),1197(a,1,1))]. 2317 (x * K(y \ 1,y)) * ((y \ 1) \ 1) = x * y. [para(2314(a,1),19(a,1,1))]. 2318 (x * T(y,z)) / T(T(y,y \ 1),z) = x * K(T(y,z) \ 1,T(y,z)). [para(2093(a,2),2314(a,1,2))]. 2319 (x * ((y \ 1) \ 1)) * K(y \ 1,y) = x * y. [para(18(a,1),2316(a,1,1)),flip(a)]. 2320 (x * T(y,y \ 1)) * K(y \ 1,y) = x * y. [para(531(a,1),2316(a,1,1)),flip(a)]. 2321 T(x * ((y \ 1) \ 1),z) * K(y \ 1,y) = (y \ T(y * x,z)) * y. [para(788(a,1),2316(a,1,1)),flip(a)]. 2322 (x * K(y,y \ 1)) * K(y \ 1,y) = x. [hyper(21,a,2258,a(flip),b,2317,a)]. 2323 (x * K(y \ 1,y)) * K(y,y \ 1) = x. [hyper(21,a,2258,a,b,2317,a(flip)),flip(a)]. 2324 x / K(y,y \ 1) = x * K(y \ 1,y). [hyper(252,a,2322,a),flip(a)]. 2325 (x / y) * y = (x * K(z,z \ 1)) * K(z \ 1,z). [hyper(189,a,19,a,b,2322,a),flip(a)]. 2326 (x * K(y,y \ 1)) \ x = K(y \ 1,y). [hyper(80,a,2322,a)]. 2327 (x / (1 / y)) * K(y,y \ 1) = x / (y \ 1). [hyper(21,a,2286,a,b,2322,a)]. 2329 x * K(y \ 1,y) != z | z * K(y,y \ 1) = x. [para(2322(a,1),23(a,1)),flip(a)]. 2330 (x / (y * x)) * K(y \ 1,y) = R(y \ 1,y,x). [para(1746(a,2),2322(a,1,1))]. 2331 x * K(y,y \ 1) != z | z * K(y \ 1,y) = x. [para(2323(a,1),23(a,1)),flip(a)]. 2332 (x * y) * K(x \ 1,x) = x * (y / K(x,x \ 1)). [hyper(189,a,2040,a(flip),b,2324,a(flip))]. 2333 (x * K(y,y \ 1)) * K(y \ 1,y) != z | z = x. [para(2324(a,1),248(a,1))]. 2334 x * K(y \ 1,y) != z * y | z * ((y \ 1) \ 1) = x. [para(2319(a,1),23(a,1)),flip(a)]. 2335 (x * ((y \ 1) \ 1)) * (y \ 1) = (x * y) * (1 / y). [para(2319(a,1),2284(a,1,1)),flip(a)]. 2336 x * K(y \ 1,y) != z * y | z * T(y,y \ 1) = x. [para(2320(a,1),23(a,1)),flip(a)]. 2337 L(x * ((y \ 1) \ 1),z,u) * K(y \ 1,y) = (y \ L(y * x,z,u)) * y. [para(2082(a,1),2320(a,1,1))]. 2338 (x * T(y,y \ 1)) * (y \ 1) = (x * y) * (1 / y). [para(2320(a,1),2284(a,1,1)),flip(a)]. 2339 (R(x,y,y \ 1) / (1 / y)) * K(y,y \ 1) = x * y. [hyper(189,a,373,a(flip),b,2327,a)]. 2340 K(x / (y * x),y) = K(y \ 1,y). [hyper(20,a,1845,a,b,2330,a),flip(a)]. 2341 K(x / (y * x),(x / (y * x)) \ 1) = K(y \ 1,y). [hyper(2134,a,2340,a)]. 2342 K((x / y) \ 1,x / y) = K(y / x,x / y). [para(19(a,1),2340(a,1,1,2)),flip(a)]. 2343 K(x \ 1,x) * (y / (x * y)) != z | R(x \ 1,x,y) = z. [para(2340(a,1),1780(a,1,1))]. 2345 K((x / (y * x)) \ 1,x / (y * x)) = K(y,x / (y * x)). [para(18(a,1),2342(a,2,1))]. 2349 (x * y) * K(x \ 1,x) = x * (y * K(x \ 1,x)). [para(2324(a,1),2332(a,2,2))]. 2350 ((x / y) * (y / x)) * ((x / y) \ 1) = ((y / x) * (x / y)) * (1 / (x / y)). [para(1769(a,1),2335(a,1,1))]. 2351 ((x / (x * y)) * y) * (1 / y) = (y * (x / (x * y))) * (y \ 1). [para(2112(a,1),2338(a,1,1)),flip(a)]. 2352 K(x \ 1,x) * (y / (x * y)) = ((y / (x * y)) \ 1) \ 1. [para(2341(a,1),1540(a,1,1))]. 2353 R(x,y,K(x \ 1,x)) = x. [hyper(376,a,2349,a)]. 2354 x * (y * K(x \ 1,x)) != z | (x * y) * K(x \ 1,x) = z. [para(2353(a,1),204(a,1,1))]. 2355 R(x,y \ 1,(y \ 1) \ 1) = R(x,1 / y,y). [hyper(2274,a,2275,a(flip))]. 2356 R(x,(y \ 1) \ 1,T(y \ 1,y)) = R(x,1 / (y \ 1),y \ 1). [para(627(a,2),2355(a,1,3))]. 2357 R(((x \ (x / (y \ 1))) * x) * K(y \ 1,y),y \ 1,y) = (x * ((y \ 1) * T((y \ 1) \ 1,x))) * y. [para(1167(a,1),2287(a,2,1))]. 2359 K((x / (y * x)) \ 1,x / (y * x)) = K(y,y \ 1). [hyper(189,a,2129,a(flip),b,2345,a)]. 2361 K((x * y) / y,y / (x * y)) = K(x,x \ 1). [hyper(189,a,2342,a(flip),b,2359,a(flip)),flip(a)]. 2362 K(x,x \ 1) * (x * y) = T(x,x \ 1) * y. [para(2359(a,1),1756(a,1,1))]. 2363 (K(x,x \ 1) * y) / (x * y) = 1 / (1 / R(1 / x,x,y)). [para(2361(a,1),2136(a,1,1,1))]. 2364 T(x,x \ 1) * (x \ y) = K(x,x \ 1) * y. [hyper(254,a,2362,a),flip(a)]. 2365 K(x,x \ 1) * (x * y) = ((x \ 1) \ 1) * y. [hyper(189,a,219,a(flip),b,2362,a)]. 2366 L(x,y,K(y,y \ 1)) = x. [hyper(1556,a,2362,a(flip))]. 2367 x * (K(x,x \ 1) * y) = T(x,x \ 1) * y. [hyper(189,a,1575,a(flip),b,2362,a(flip)),flip(a)]. 2368 (T(x,x \ 1) * y) / (K(x,x \ 1) * y) = x. [hyper(76,a,2362,a(flip),b,1575,a(flip))]. 2371 L(x,K(y \ 1,y),1 / y) = x. [hyper(189,a,1837,a(flip),b,2366,a(flip)),flip(a)]. 2372 L(x,1 / y,K(y \ 1,y)) = x. [para(1835(a,1),2366(a,1,3))]. 2374 (1 / x) * (x * y) = L(y,x,x \ 1). [hyper(189,a,1930,a(flip),b,2371,a(flip)),flip(a)]. 2375 L(x,y,y \ 1) / (y * x) = 1 / y. [hyper(76,a,2371,a(flip),b,1930,a(flip))]. 2376 K(x \ 1,x) * ((x \ 1) \ y) = (1 / x) \ y. [hyper(189,a,1848,a(flip),b,2372,a(flip)),flip(a)]. 2377 L(x,1 / (1 / y),K(y,y \ 1)) = x. [para(1536(a,1),2372(a,1,3))]. 2378 K(x \ 1,x) * ((1 / x) * y) = (x \ 1) * y. [para(2372(a,1),1830(a,1,2)),flip(a)]. 2379 L(x \ y,x,x \ 1) = (1 / x) * y. [para(2372(a,1),1847(a,1,1,2))]. 2380 L(x,y,1 / y) = L(x,y,y \ 1). [hyper(358,a,2374,a)]. 2382 x * ((1 / x) * (y * x)) = L(y,x,x \ 1) * x. [hyper(20,a,864,a(flip),b,2374,a)]. 2383 L(L(x \ y,z,u),x,x \ 1) = L((1 / x) * y,z,u). [hyper(189,a,822,a(flip),b,2374,a(flip))]. 2384 L(T(x,y),y,y \ 1) = (1 / y) * (x * y). [para(113(a,1),2374(a,1,2)),flip(a)]. 2385 L((x \ 1) * y,x,x \ 1) = (1 / x) * L(y,x \ 1,x). [para(166(a,1),2374(a,1,2)),flip(a)]. 2386 L(x,y,y \ 1) \ ((1 / y) * (x * y)) = L(K(x,y),y * x,1 / y). [para(2374(a,1),217(a,1,1))]. 2387 L(L(x,y,z) \ 1,x,x \ 1) = (1 / x) * (L(x,y,z) \ x). [para(964(a,1),2374(a,1,2)),flip(a)]. 2388 L(T(x,y) \ 1,x,x \ 1) = (1 / x) * (T(x,y) \ x). [para(987(a,1),2374(a,1,2)),flip(a)]. 2389 (1 / x) \ L(L(y,x,x \ 1),z,u) != x * w | L(y,z,u) = w. [para(2380(a,1),818(a,1,2,1))]. 2390 (1 / x) * (x * y) != z | L(y,x,x \ 1) = z. [para(2375(a,1),200(a,1,1)),flip(b)]. 2391 K(x,x \ 1) * ((1 / (1 / x)) * y) = x * y. [para(2377(a,1),1612(a,1,2)),flip(a)]. 2392 T(x,y) * L(T(x,y) \ 1,x,x \ 1) = T(x * ((1 / x) * 1),y). [para(2379(a,1),1923(a,2,1,2))]. 2393 T(x,(1 / x) * y) = T(x,(x \ 1) * y). [para(2379(a,1),2056(a,1,2))]. 2394 T(x \ 1,((x \ 1) \ 1) * y) = T(x \ 1,x * y). [para(67(a,1),2393(a,1,2,1)),flip(a)]. 2395 x * ((1 / x) * (y * x)) != z | L(y,x,x \ 1) * x = z. [para(2384(a,1),303(a,1,2))]. 2396 ((x \ 1) \ 1) * (x \ y) = K(x,x \ 1) * y. [hyper(551,a,2364,a)]. 2397 K(x,x \ 1) \ (y * ((x \ 1) \ 1)) = x * T(y,(x \ 1) \ 1). [hyper(75,a,113,a(flip),b,2365,a)]. 2398 x * (K(x,x \ 1) * y) = ((x \ 1) \ 1) * y. [hyper(189,a,1575,a(flip),b,2365,a(flip)),flip(a)]. 2399 R(x,K(x,x \ 1),y) = x. [hyper(1764,a,2368,a)]. 2400 R(1 / x,K(x \ 1,x),y) = 1 / x. [para(1835(a,1),2399(a,1,2))]. 2401 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(2400(a,1),2013(a,1,1)),flip(a)]. 2403 (1 / x) \ ((x \ 1) * y) = K(x \ 1,x) * y. [para(16(a,1),2376(a,1,2)),flip(a)]. 2405 (x \ 1) * ((1 / x) \ y) = K(x \ 1,x) * y. [para(2376(a,1),1630(a,1,2))]. 2406 K((1 / T(x,y)) \ 1,1 / T(x,y)) * (((1 / T(x,y)) \ 1) \ z) = T(1 / (1 / x),y) \ z. [para(2097(a,1),2376(a,2,1))]. 2408 ((x * K(y \ 1,y)) * ((1 / y) * z)) / ((y \ 1) * z) = R(x,K(y \ 1,y),(1 / y) * z). [para(2378(a,1),33(a,2,2)),flip(a)]. 2409 ((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(2378(a,1),348(a,1,1))]. 2411 (1 / (1 / x)) * (K(x,x \ 1) * y) = x * y. [hyper(1577,a,2391,a),flip(a)]. 2412 x * ((1 / (1 / x)) \ y) = K(x,x \ 1) * y. [hyper(254,a,2391,a),flip(a)]. 2413 K(x,x \ 1) * ((y \ (1 / (1 / x))) * y) = x * K(y \ (1 / (1 / x)),y). [para(213(a,1),2391(a,1,2))]. 2414 K(x,x \ 1) * (T(x,y) \ 1) = x * (T(x,y) \ (1 / x)). [hyper(189,a,1776,a(flip),b,2396,a(flip))]. 2415 K(x,x \ 1) * (((x \ 1) \ 1) \ y) = x \ y. [hyper(75,a,17,a(flip),b,2398,a),flip(a)]. 2416 K(x,x \ 1) * (y * (x \ 1)) = y * (1 / x). [hyper(20,a,1895,a(flip),b,2398,a)]. 2417 (1 / x) * (K(x \ 1,x) * y) = (x \ 1) * y. [para(2403(a,1),17(a,1,2))]. 2419 K(x \ 1,x) * ((y * ((1 / x) * z)) / y) = (x \ 1) * (x * ((y * (x \ z)) / y)). [para(939(a,1),2405(a,1,2)),flip(a)]. 2420 K(x,x \ 1) * ((x \ 1) * y) = (1 / x) * y. [hyper(746,a,2411,a),flip(a)]. 2421 K(x,x \ 1) * (x \ y) = (1 / (1 / x)) \ y. [hyper(75,a,17,a(flip),b,2411,a),flip(a)]. 2422 K(x,x \ 1) * L(y,x \ 1,x) = x * ((1 / x) * y). [para(745(a,1),2412(a,1,2)),flip(a)]. 2423 K(x / y,(x / y) \ 1) \ y = (((x / y) \ 1) \ 1) \ x. [hyper(75,a,69,a(flip),b,2415,a)]. 2426 (1 / x) \ (K(x,x \ 1) * y) = (x \ 1) \ y. [hyper(432,a,2420,a)]. 2427 (1 / x) * ((x \ 1) \ y) = K(x,x \ 1) * y. [hyper(254,a,2420,a),flip(a)]. 2428 K(x,x \ 1) \ ((1 / x) * y) = (x \ 1) * y. [hyper(80,a,2420,a)]. 2429 K(x,x \ 1) \ ((1 / x) * y) != z | (x \ 1) * y = z. [para(2420(a,1),237(a,1,2)),flip(b)]. 2430 (x * ((1 / y) * z)) / L((y \ 1) * z,K(y,y \ 1),x) = x * K(y,y \ 1). [para(2420(a,1),128(a,1,1,2))]. 2431 (x * K(y,y \ 1)) \ (x * ((1 / y) * z)) != u | L((y \ 1) * z,K(y,y \ 1),x) = u. [para(2420(a,1),355(a,1,2,2))]. 2432 (1 / x) \ (K(x,x \ 1) * (T(x,y) \ 1)) = (x \ T(x,y)) \ 1. [hyper(189,a,2064,a(flip),b,2426,a)]. 2433 K(x,x \ 1) * ((1 / x) \ y) = (x \ 1) \ y. [hyper(189,a,1087,a(flip),b,2427,a(flip))]. 2434 (1 / x) \ ((x \ 1) * (K(x,x \ 1) * y)) = y. [hyper(20,a,16,a(flip),b,2433,a)]. 2435 ((x \ 1) \ 1) \ ((x \ 1) \ y) = x \ ((1 / x) \ y). [hyper(75,a,2433,a(flip),b,2396,a)]. 2436 K(x,x \ 1) * (((x \ y) / y) * x) = (x \ 1) \ ((x \ y) / y). [para(912(a,1),2433(a,1,2))]. 2437 K(x \ 1,x) * (K(x,x \ 1) * y) = y. [hyper(189,a,2403,a(flip),b,2434,a(flip)),flip(a)]. 2438 K(x \ 1,x) \ y = K(x,x \ 1) * y. [hyper(75,a,2434,a(flip),b,2403,a(flip))]. 2439 K(x,x \ 1) * (K(x \ 1,x) * y) = y. [hyper(20,a,2403,a(flip),b,2434,a(flip)),flip(a)]. 2440 (x \ 1) * (K(x,x \ 1) * y) = (1 / x) * y. [para(2434(a,1),17(a,1,2)),flip(a)]. 2441 K(x \ 1,x) * y != z | K(x,x \ 1) * z = y. [para(2437(a,1),22(a,1)),flip(a)]. 2442 K(x \ 1,x) * (T(x,x \ 1) * y) = x * y. [para(2362(a,1),2437(a,1,2))]. 2443 K(x \ 1,x) * (((x \ 1) \ 1) * y) = x * y. [para(2365(a,1),2437(a,1,2))]. 2444 K(x \ 1,x) * (x * y) = (1 / (1 / x)) * y. [para(2391(a,1),2437(a,1,2))]. 2445 K(x \ 1,x) * (x \ y) = ((x \ 1) \ 1) \ y. [para(2415(a,1),2437(a,1,2))]. 2446 K(x \ 1,x) * (y * (1 / x)) = y * (x \ 1). [para(2416(a,1),2437(a,1,2))]. 2447 K(x \ 1,x) * ((1 / (1 / x)) \ y) = x \ y. [para(2421(a,1),2437(a,1,2))]. 2448 K(x \ 1,x) \ (x * y) = ((x \ 1) \ 1) * y. [hyper(189,a,2365,a(flip),b,2438,a)]. 2449 K(x \ 1,x) * (K(x,x \ 1) * y) != z | z = y. [para(2438(a,1),203(a,1,2))]. 2451 K(x \ 1,x) * R(K(x,x \ 1) * (y * x),z,u) = (x \ R(x * y,z,u)) * x. [para(2438(a,1),2023(a,1,2,1))]. 2452 x \ (K(x \ 1,x) * y) = ((x \ 1) \ 1) \ y. [hyper(75,a,2439,a(flip),b,2396,a),flip(a)]. 2453 x \ (K(x \ 1,x) * y) = T(x,x \ 1) \ y. [hyper(75,a,2439,a(flip),b,2364,a),flip(a)]. 2454 T(x,x \ 1) * (K(x \ 1,x) * y) = x * y. [para(2439(a,1),2367(a,1,2)),flip(a)]. 2455 ((x \ 1) \ 1) * (K(x \ 1,x) * y) = x * y. [para(2439(a,1),2398(a,1,2)),flip(a)]. 2456 (x \ 1) * (K(x,x \ 1) * L((1 / x) \ y,z,u)) = L(y * x,z,u) / x. [hyper(189,a,1285,a(flip),b,2440,a)]. 2458 x * (T(T(x,x \ 1),y) * (T(x,x \ 1) \ z)) = K(x \ 1,x) * (T(T(x,x \ 1),y) * z). [para(974(a,1),2442(a,1,2)),flip(a)]. 2460 (1 / (1 / x)) * (x \ y) = K(x \ 1,x) * y. [hyper(254,a,2444,a),flip(a)]. 2461 ((1 / (1 / x)) * y) / (K(x \ 1,x) * y) = x. [hyper(76,a,2444,a(flip),b,1191,a(flip))]. 2462 T(x \ (y \ x),y) = x \ (((y \ 1) \ 1) \ x). [hyper(75,a,2445,a(flip),b,910,a(flip)),flip(a)]. 2463 K(x \ 1,x) * (1 / T(x,y)) = x \ (x / T(x,y)). [para(2119(a,1),2447(a,1,2))]. 2464 (x \ 1) \ (K(x,x \ 1) * y) = (((x \ 1) \ 1) \ 1) \ y. [para(1838(a,1),2452(a,1,2,1))]. 2465 x * (T(T(x,y),z) * (T(x,x \ 1) \ u)) = T(T(x,y),z) * (K(x \ 1,x) * u). [para(2453(a,1),1698(a,1,2,2))]. 2466 T(R(x,y,z),R(x,y,z) \ 1) \ ((x * y) * z) = K(R(x,y,z) \ 1,R(x,y,z)) * (y * z). [hyper(75,a,110,a(flip),b,2454,a)]. 2467 R(x,K(x \ 1,x),y) = x. [hyper(649,a,2461,a)]. 2468 (T(x,y) * K(x \ 1,x)) * z = T(x,y) * (K(x \ 1,x) * z). [para(2467(a,1),380(a,1,1,1)),flip(a)]. 2469 T(x \ ((1 / y) \ x),1 / y) = x \ ((y \ 1) \ x). [para(69(a,1),2462(a,2,2,1,1))]. 2473 T(K(x \ 1,x),y) = K(x \ 1,x). [hyper(21,a,1454,a,b,2463,a),flip(a)]. 2475 K(x \ 1,x) * y = y * K(x \ 1,x). [para(2473(a,1),113(a,1,2)),flip(a)]. 2476 T((x \ 1) * x,y) = K(x \ 1,x). [para(165(a,1),2473(a,1,1))]. 2477 x * K(y \ 1,y) != z | K(y \ 1,y) * x = z. [para(2473(a,1),205(a,1,2))]. 2479 (K(x,x \ 1) * y) * K(x \ 1,x) = y. [hyper(2449,a,2475,a)]. 2480 K(x,x \ 1) * (y * K(x \ 1,x)) = y. [hyper(2441,a,2475,a)]. 2481 K(x \ 1,x) * (y * K(x,x \ 1)) = y. [hyper(189,a,2322,a(flip),b,2475,a)]. 2482 K(x \ 1,x) * (y * T(x,x \ 1)) = y * x. [hyper(189,a,2320,a(flip),b,2475,a)]. 2483 K(x \ 1,x) * (y / x) = y / ((x \ 1) \ 1). [hyper(189,a,2313,a(flip),b,2475,a)]. 2484 K(x \ 1,x) * (y / (x \ 1)) = y / (1 / x). [hyper(189,a,2286,a(flip),b,2475,a)]. 2485 K(x \ 1,x) * (y / x) = y * T(y \ (y / x),x). [hyper(189,a,842,a(flip),b,2475,a)]. 2486 (K(x \ 1,x) * y) * K(x,x \ 1) = y. [hyper(20,a,2322,a(flip),b,2475,a)]. 2487 (x \ 1) * ((1 / x) \ y) = y * K(x \ 1,x). [hyper(189,a,2405,a,b,2475,a(flip)),flip(a)]. 2488 (x * y) * K(x \ 1,x) = (1 / (1 / x)) * y. [hyper(189,a,2444,a(flip),b,2475,a(flip))]. 2489 ((1 / x) * y) * K(x \ 1,x) = (x \ 1) * y. [hyper(189,a,2378,a(flip),b,2475,a(flip))]. 2490 ((x \ 1) \ y) * K(x \ 1,x) = (1 / x) \ y. [hyper(189,a,2376,a(flip),b,2475,a(flip))]. 2491 L(x \ 1,x,K(y \ 1,y)) = (x * K(y \ 1,y)) \ K(y \ 1,y). [para(2475(a,1),140(a,2,1))]. 2492 (x * K(y \ 1,y)) * L(z,x,K(y \ 1,y)) = K(y \ 1,y) * (x * z). [para(2475(a,1),102(a,1,1))]. 2493 T(x * K(y \ 1,y),y) = K(y \ 1,y) * T(x,y). [para(2475(a,1),2050(a,1,1))]. 2494 K(x \ 1,x) * y != z | z * K(x,x \ 1) = y. [para(2475(a,2),2329(a,1))]. 2495 K(x \ 1,x) * (y * K(x,x \ 1)) != z | z = y. [para(2475(a,2),2333(a,1))]. 2496 (1 / x) * (y * K(x \ 1,x)) = (x \ 1) * y. [para(2475(a,1),2417(a,1,2))]. 2497 x \ (y * K(x \ 1,x)) = T(x,x \ 1) \ y. [para(2475(a,1),2453(a,1,2))]. 2498 ((x \ 1) \ 1) * (y * K(x \ 1,x)) = x * y. [para(2475(a,1),2455(a,1,2))]. 2499 x * K(y \ 1,y) != z | K(y,y \ 1) * z = x. [para(2475(a,1),2441(a,1))]. 2500 K(x,x \ 1) * (y * x) = y * T(x,x \ 1). [hyper(2336,a,2479,a),flip(a)]. 2501 K(x,x \ 1) * (y * x) = y * ((x \ 1) \ 1). [hyper(2334,a,2479,a),flip(a)]. 2502 K(x,x \ 1) * y = y * K(x,x \ 1). [hyper(2329,a,2479,a),flip(a)]. 2503 R((K(x,x \ 1) * y) / z,z,K(x \ 1,x)) = y / (z * K(x \ 1,x)). [para(2479(a,1),111(a,2,1))]. 2504 (x * (T(x,y) / x)) * K(x \ 1,x) = T(1 / (1 / x),y). [para(1617(a,1),2479(a,1,1))]. 2505 (K(x,x \ 1) * y) * x = y * ((x \ 1) \ 1). [para(2479(a,1),2317(a,1,1)),flip(a)]. 2506 K(x \ 1,x) * y != z | y * K(x \ 1,x) = z. [para(2480(a,1),2449(a,1,2)),flip(b)]. 2507 ((x \ 1) * y) * K(x,x \ 1) = (1 / x) * y. [hyper(20,a,2378,a,b,2481,a)]. 2508 ((1 / x) \ y) * K(x,x \ 1) = (x \ 1) \ y. [hyper(20,a,2376,a,b,2481,a)]. 2509 L((x * K(y,y \ 1)) \ z,x * K(y,y \ 1),K(y \ 1,y)) = x \ (K(y \ 1,y) * z). [para(2481(a,1),104(a,2,1))]. 2510 (x \ 1) * (y * K(x,x \ 1)) = (1 / x) * y. [para(2481(a,1),2417(a,1,2)),flip(a)]. 2511 x * K(y,y \ 1) != z | K(y \ 1,y) * z = x. [para(2486(a,1),23(a,1)),flip(a)]. 2512 (x / y) * ((y \ 1) \ 1) = K(y,y \ 1) * x. [hyper(189,a,2257,a,b,2502,a),flip(a)]. 2513 T(x,K(y,y \ 1)) = x. [hyper(149,a,2502,a)]. 2514 T(K(x,x \ 1),y) = K(x,x \ 1). [hyper(147,a,2502,a,b,xx)]. 2515 (x * K(y,y \ 1)) \ ((T(x,K(y,y \ 1)) * z) * K(y,y \ 1)) = L(z,T(x,K(y,y \ 1)),K(y,y \ 1)). [hyper(75,a,2502,a(flip),b,353,a)]. 2518 (K(x,x \ 1) * y) * x = y * T(x,x \ 1). [para(2502(a,2),2261(a,1,1))]. 2519 T(x * y,K(z,z \ 1)) != y * u | T(x,y) = u. [para(2513(a,2),148(a,2)),flip(a)]. 2520 K(x,x \ 1) * y != z | y * K(x,x \ 1) = z. [para(2513(a,1),205(a,1,2))]. 2521 T(x,K(y \ z,z \ y)) = x. [para(1992(a,1),2513(a,1,2))]. 2522 K(x \ y,y \ x) * z = z * K(x \ y,y \ x). [hyper(1882,a,2521,a),flip(a)]. 2523 x * K(y,y \ 1) != z | K(y,y \ 1) * x = z. [para(2514(a,1),205(a,1,2))]. 2524 ((x * y) * K(z,z \ 1)) / (K(z,z \ 1) * y) = R(x,y,T(K(z,z \ 1),y)). [para(2514(a,1),156(a,1,1,2))]. 2525 T(x,T(x,y) \ 1) = x * K(x,x \ 1). [para(2514(a,1),1808(a,1,2)),flip(a)]. 2527 T(x,T(x,y) \ 1) = (x \ 1) \ 1. [hyper(189,a,1761,a(flip),b,2525,a)]. 2528 T(x,T(x,y) \ 1) = T(x,x \ 1). [hyper(189,a,1754,a(flip),b,2525,a)]. 2530 (T(x,y) \ x) / ((x \ 1) \ 1) = T(x,y) \ 1. [para(2527(a,1),992(a,1,2))]. 2531 ((1 / (1 / x)) * y) * (1 / x) = (x * y) * (x \ 1). [para(2488(a,1),2284(a,1,1))]. 2534 ((1 / x) \ y) * (1 / x) = ((x \ 1) \ y) * (x \ 1). [para(2490(a,1),2284(a,1,1))]. 2536 ((x \ 1) \ 1) \ (x * y) = y * K(x \ 1,x). [hyper(80,a,2498,a)]. 2537 K(x,x \ 1) * (((x \ y) / y) * x) != z | x * ((x \ y) / y) = z. [para(2500(a,2),1757(a,1))]. 2538 (((x \ 1) \ 1) \ y) * ((x \ 1) \ 1) = (x \ y) * x. [para(2415(a,1),2505(a,1,1)),flip(a)]. 2539 ((1 / (1 / x)) \ y) * x = (x \ y) * ((x \ 1) \ 1). [para(2421(a,1),2505(a,1,1))]. 2540 (T(x,y) \ 1) * T(x,x \ 1) = T(x,y) \ x. [para(2530(a,1),530(a,1,1))]. 2542 ((x \ 1) \ 1) \ y != z | (x \ y) * K(x \ 1,x) = z. [para(2445(a,1),2506(a,1))]. 2543 1 / (x \ ((y \ 1) \ x)) = (x \ ((1 / y) \ x)) \ 1. [para(2469(a,1),2114(a,1,2))]. 2544 K(L(x,y,z) \ 1,L(x,y,z)) * (x / L(x,y,z)) = x * T(L(x,y,z) \ 1,x). [para(1269(a,1),2485(a,2,2))]. 2546 K(x \ y,y \ x) * x = y * (1 / (1 / (y \ x))). [hyper(189,a,2206,a(flip),b,2522,a)]. 2548 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ (1 / (1 / x))) * y) * (1 / x). [para(213(a,1),2531(a,1,1)),flip(a)]. 2549 (((x \ 1) \ 1) \ y) * ((x \ 1) \ 1) != y * z | K(x \ y,x) = z. [para(2538(a,2),334(a,1))]. 2550 (x \ ((1 / (1 / y)) \ x)) \ 1 = 1 / (x \ (y \ x)). [para(69(a,1),2543(a,1,2,2,1)),flip(a)]. 2551 x * (1 / (1 / (x \ y))) != z * y | K(y \ x,x \ y) = z. [para(2546(a,1),23(a,1))]. 2552 1 / (1 / (x \ (y \ x))) = x \ ((1 / (1 / y)) \ x). [para(2550(a,1),67(a,1,2))]. 2553 x * (1 / (1 / (x \ (y \ x)))) != z * u | ((1 / (1 / y)) \ x) / u = z. [para(2552(a,2),298(a,1,2))]. 2554 L(x,1 / y,y) = L(x,y \ 1,y). [hyper(1548,a,2422,a)]. 2555 L(x,(y \ 1) \ 1,y \ 1) = L(x,y,y \ 1). [para(67(a,1),2554(a,1,2)),flip(a)]. 2556 L(((x \ 1) \ 1) \ y,x,x \ 1) = (x \ 1) * y. [hyper(367,a,2555,a),flip(a)]. 2557 L(x,y,z) * L(L(x,y,z) \ 1,x,x \ 1) = L(x * (1 / (1 / (x \ 1))),y,z). [para(2555(a,1),2158(a,1,2))]. 2558 L(x * K(y \ 1,y),y,y \ 1) = (y \ 1) * (y * x). [para(2536(a,1),2556(a,1,1))]. 2560 L((x \ 1) * ((1 / x) \ y),x,x \ 1) = (x \ 1) * (x * y). [para(2487(a,2),2558(a,1,1))]. 2561 R(x \ 1,x,y) = ((y / (x * y)) \ 1) \ 1. [hyper(2343,a,2352,a)]. 2562 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(2385(a,2),1921(a,1,1))]. 2563 K(x \ 1,x) \ (x * y) = (((y / (x * y)) \ 1) \ 1) \ y. [para(2341(a,1),2423(a,1,1))]. 2565 R(x \ 1,x,y) \ y = K(x \ 1,x) \ (x * y). [para(2561(a,2),2563(a,2,1)),flip(a)]. 2566 R(x \ 1,x,y) \ y = ((x \ 1) \ 1) * y. [hyper(189,a,2448,a(flip),b,2565,a)]. 2567 R(x \ 1,x,y) \ y = T(x,x \ 1) * y. [hyper(189,a,219,a,b,2566,a)]. 2568 R(x,1 / x,y) \ y = (((1 / x) \ 1) \ 1) * y. [para(69(a,1),2566(a,1,1,1))]. 2569 (((x / (y * x)) \ 1) \ 1) \ x = T(y,y \ 1) * x. [para(2561(a,1),2567(a,1,1))]. 2570 R(x,1 / x,y) \ y = (x \ 1) * y. [para(69(a,1),2568(a,2,1,1))]. 2571 R(x,1 / x,y) = y / ((x \ 1) * y). [para(2570(a,1),67(a,1,2)),flip(a)]. 2572 R(x,1 / x,y) = R(x,x \ 1,y). [hyper(189,a,139,a,b,2571,a)]. 2573 R(x \ 1,(x \ 1) \ 1,y) = R(x \ 1,x,y). [para(67(a,1),2572(a,1,2)),flip(a)]. 2574 L(R(x,x \ 1,y),x \ 1,x) = R(1 / (1 / x),1 / x,y). [para(2572(a,1),475(a,1,1))]. 2575 T(x / y,(x / y) \ 1) * y = (((y / x) \ 1) \ 1) \ y. [para(19(a,1),2569(a,1,1,1,1,2)),flip(a)]. 2576 (((x / y) \ 1) \ 1) \ x = (((y / x) \ 1) \ 1) * x. [hyper(551,a,2575,a),flip(a)]. 2577 (((x / y) \ 1) \ 1) \ x = x * (((x \ y) \ 1) \ 1). [hyper(189,a,2103,a(flip),b,2576,a)]. 2578 ((x * y) * z) * (((((x * y) * z) \ (y * z)) \ 1) \ 1) = ((R(x,y,z) \ 1) \ 1) \ ((x * y) * z). [para(33(a,2),2577(a,1,1,1,1)),flip(a)]. 2579 L(T(x,y) / x,x,y) = K(1 / (1 / x),y). [para(792(a,1),2309(a,1,1))]. 2580 K(1 / (1 / x),y) = (x * K(x,y)) / x. [hyper(189,a,676,a(flip),b,2579,a(flip))]. 2581 T(K(1 / (1 / x),y),x) = K(x,y). [para(2580(a,2),142(a,1,1))]. 2582 T(K(1 / (x \ 1),y),T(x,x \ 1)) = K(T(x,x \ 1),y). [para(174(a,1),2581(a,1,1,1,2))]. 2583 T(K(x,y),T(x,x \ 1)) = K(T(x,x \ 1),y). [para(67(a,1),2582(a,1,1,1))]. 2584 K(T(x,x \ 1),y) = T(K(x,y),x). [hyper(189,a,2061,a(flip),b,2583,a(flip))]. 2585 T(K(x,y),x) = K((x \ 1) \ 1,y). [para(114(a,1),2584(a,1,1)),flip(a)]. 2586 x * K((x \ 1) \ 1,y) = K(x,y) * x. [para(2585(a,1),113(a,1,2))]. 2587 R(1 / (1 / (1 / x)),x,y) = 1 / (1 / R(1 / x,x,y)). [hyper(1561,a,2363,a)]. 2589 T(R(1 / (1 / (1 / x)),x,y),x * y) = T(1 / (1 / (y / (x * y))),x * y). [para(2587(a,2),2027(a,1,1))]. 2591 R(1 / (1 / x),1 / x,y) = R(1 / (1 / x),x \ 1,y). [hyper(189,a,475,a(flip),b,2574,a(flip))]. 2592 R(1 / (1 / x),x \ 1,(1 / x) \ y) = ((1 / x) \ y) / y. [hyper(741,a,2591,a),flip(a)]. 2593 ((1 / x) \ y) \ (y * R(1 / (1 / x),x \ 1,(1 / x) \ y)) = K(y,((1 / x) \ y) / y). [para(2592(a,2),98(a,1,2,2))]. 2594 x / ((L(y \ 1,y,x) \ 1) \ 1) = x * T(y,y \ 1). [para(2307(a,1),634(a,1,2))]. 2595 T(K(x,y),L(x \ 1,x,y) \ 1) = K(y \ (y * T(x,x \ 1)),y). [para(2594(a,1),1380(a,2,1,2))]. 2596 (1 / (1 / x)) * (y / (y * x)) = (y / (y * x)) * x. [hyper(21,a,2531,a,b,2351,a),flip(a)]. 2597 T(1 / (1 / x),y / (y * x)) = x. [hyper(147,a,2596,a,b,xx)]. 2599 T(1 / (1 / x),(y / x) / y) = x. [para(19(a,1),2597(a,1,2,2))]. 2600 (1 / (1 / x)) \ (((y / x) / y) * x) = (y / x) / y. [para(2599(a,1),144(a,1,2,2))]. 2601 (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(1420(a,2),2600(a,1,2))]. 2602 R(x,(y \ 1) \ 1,T(y \ 1,y)) = R(x,y,y \ 1). [para(67(a,1),2356(a,2,2))]. 2603 R(x,T(y,y \ 1),T(y \ 1,y)) = R(x,y,y \ 1). [para(114(a,2),2602(a,1,2))]. 2604 (1 / x) \ (x * (T(x,y) \ (1 / x))) = (x \ T(x,y)) \ 1. [para(2414(a,1),2432(a,1,2))]. 2605 L(x,K(y \ 1,y),T(y,z)) = x. [hyper(346,a,2468,a)]. 2606 R(x,y,1 / y) / (1 / y) = x * (y * K(y \ 1,y)). [para(69(a,1),2278(a,1,1,2))]. 2607 R(x,y,y \ 1) / (1 / y) = x * (y * K(y \ 1,y)). [para(2270(a,1),2606(a,1,1))]. 2608 R(x,y,y \ 1) / (1 / y) = x * (1 / (1 / y)). [para(474(a,1),2607(a,2,2))]. 2609 (x * (1 / (1 / y))) * K(y,y \ 1) = x * y. [para(2608(a,1),2339(a,1,1))]. 2610 K(x,x \ 1) * (y * (1 / (1 / x))) = y * x. [hyper(2523,a,2609,a)]. 2611 (x * y) * K(y \ 1,y) = x * (1 / (1 / y)). [hyper(2331,a,2609,a)]. 2612 (x / (1 / (1 / y))) * y = x * K(y,y \ 1). [hyper(252,a,2609,a),flip(a)]. 2613 (x * y) \ (x * (1 / (1 / y))) = K(y \ 1,y). [para(2609(a,1),2326(a,1,1))]. 2614 R(T(x / (1 / (1 / y)),y * z),y,z) = (y * z) \ ((x * K(y,y \ 1)) * z). [para(2612(a,1),507(a,1,2,1)),flip(a)]. 2615 L(K(x \ 1,x),x,y) = K(x \ 1,x). [hyper(647,a,2613,a)]. 2616 K((x * y) \ x,x \ (x * y)) = K(y \ 1,y). [hyper(189,a,2214,a(flip),b,2615,a(flip)),flip(a)]. 2618 K((x * y) \ x,y) = K(y \ 1,y). [para(16(a,1),2616(a,1,2))]. 2619 K((x \ y) \ 1,x \ y) = K(y \ x,x \ y). [para(17(a,1),2618(a,1,1,1)),flip(a)]. 2620 K(T(x,y) \ 1,T(x,y)) = K((x * y) \ y,T(x,y)). [para(113(a,1),2618(a,1,1,1)),flip(a)]. 2621 x * K(y \ x,x \ y) = y * (((y \ x) \ 1) \ 1). [para(2619(a,1),1998(a,1,2))]. 2622 ((x \ y) * z) * K(y \ x,x \ y) = (1 / (1 / (x \ y))) * z. [para(2619(a,1),2488(a,1,2))]. 2623 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(1463(a,1),2620(a,2,1,1))]. 2624 K(x \ y,y \ x) * y = x * (((x \ y) \ 1) \ 1). [hyper(189,a,2522,a,b,2621,a(flip)),flip(a)]. 2625 ((x \ (x / y)) * z) * K(y,y \ 1) = (1 / (1 / (x \ (x / y)))) * z. [para(2211(a,1),2622(a,1,2))]. 2626 T(x,y) * ((1 / x) * (T(x,y) \ x)) = T(x * ((1 / x) * 1),y). [para(2388(a,1),2392(a,1,2))]. 2627 T(x,y) * ((1 / x) * (T(x,y) \ x)) = T(x * (1 / x),y). [para(15(a,1),2626(a,2,1,2))]. 2628 T(x,y) * ((1 / x) * (T(x,y) \ x)) = T(K(x,x \ 1),y). [para(1535(a,2),2627(a,2,1))]. 2629 T(x,y) \ K(x,x \ 1) = (1 / x) * (T(x,y) \ x). [hyper(75,a,2514,a(flip),b,2628,a)]. 2630 (x \ 1) \ ((x \ y) / y) != z | x * ((x \ y) / y) = z. [para(2436(a,1),2537(a,1))]. 2631 T(K(x,y),L(x \ 1,x,y) \ 1) = K(T(x,x \ 1),y). [hyper(189,a,1215,a(flip),b,2595,a)]. 2633 T(K(x,y),L(x \ 1,x,y) \ 1) = K((x \ 1) \ 1,y). [para(114(a,1),2631(a,2,1))]. 2634 T(K(x,y),((y * x) \ y) \ 1) = K((x \ 1) \ 1,y). [para(140(a,1),2633(a,1,2,1))]. 2635 (((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)) = K((y \ 1) \ 1,x). [hyper(2080,a,2634,a)]. 2636 (x \ 1) * (x * T(x \ 1,y)) = T(x \ 1,y). [hyper(147,a,2496,a(flip),b,2285,a),flip(a)]. 2638 (x \ 1) \ T(x \ 1,y) = x * T(x \ 1,y). [hyper(80,a,2636,a)]. 2641 K(x \ (x / y),x) = (y \ 1) \ T(y \ 1,x). [hyper(189,a,886,a,b,2638,a),flip(a)]. 2642 T(x,T(x \ 1,y)) = (x \ 1) \ 1. [hyper(147,a,2638,a(flip),b,773,a)]. 2643 L(x * T(x \ 1,y),x \ 1,y) = K(x \ 1,y). [para(2638(a,1),584(a,2,1)),flip(a)]. 2645 T(x,T(x \ 1,y)) = T(x,x \ 1). [hyper(189,a,114,a,b,2642,a)]. 2647 K(1 / x,y) = K(x \ 1,y). [hyper(189,a,2308,a(flip),b,2643,a(flip)),flip(a)]. 2648 K((x \ 1) \ 1,y) = K(x,y). [para(67(a,1),2647(a,1,1)),flip(a)]. 2649 T(K(x,y),x) = K(x,y). [hyper(189,a,2585,a,b,2648,a(flip)),flip(a)]. 2650 K(x,y) * x = x * K(x,y). [para(2648(a,1),2586(a,1,2)),flip(a)]. 2651 T(x,K(x,y)) = x. [hyper(38,a,2649,a)]. 2652 (x * K(x,y)) / x = K(x,y). [para(2649(a,1),143(a,1,1,2))]. 2653 R(K(x,y),z,u) * x = x * R(K(x,y),z,u). [para(2649(a,1),160(a,1,2,1)),flip(a)]. 2654 K(x,y) * x != z | x * K(x,y) = z. [para(2651(a,1),205(a,1,2))]. 2655 T(x,y) * K(x,z) = K(x,z) * T(x,y). [para(2651(a,1),158(a,1,2,1)),flip(a)]. 2656 T((x * y) / x,K(y,z)) = (x * y) / x. [para(2651(a,1),330(a,1,1,2)),flip(a)]. 2657 K(x,y) * R(x,z,u) != w | R(x,z,u) * K(x,y) = w. [para(2651(a,1),304(a,1,2,1))]. 2658 T(K(x,y),x) != z | K(x,y) = z. [para(2652(a,1),242(a,1,1)),flip(b)]. 2659 K((x \ 1) \ 1,y) != z | K(x,y) = z. [para(2585(a,1),2658(a,1))]. 2662 T(K(x,y),T(x,z)) = K(x,y). [hyper(148,a,2655,a)]. 2664 T(x,y) * K(x,z) != u | K(x,z) * T(x,y) = u. [para(2662(a,1),205(a,1,2))]. 2665 T(K(x,y),(z * x) / z) = K(x,y). [hyper(38,a,2656,a)]. 2666 T(x,R(K(x,y),z,u)) = x. [hyper(148,a,2653,a)]. 2667 K(x,R(K(x,y),z,u)) = 1. [hyper(39,a,2666,a)]. 2668 ((x \ (x / (y \ 1))) * z) * K(y \ 1,y) = (1 / (1 / (x \ (x / (y \ 1))))) * z. [para(1538(a,1),2625(a,1,2))]. 2669 (((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)) = K(y,x). [hyper(189,a,2648,a(flip),b,2635,a)]. 2670 T(x * y,K(y,y \ 1)) = y * T(x,(y \ 1) \ 1). [hyper(2259,a,2397,a)]. 2671 T(x,(y \ 1) \ 1) = T(x,y). [hyper(2519,a,2670,a),flip(a)]. 2672 T(x,1 / y) = T(x,y \ 1). [para(69(a,1),2671(a,1,2,1)),flip(a)]. 2673 T(x,T(y,y \ 1)) = T(x,y). [para(114(a,2),2671(a,1,2))]. 2674 T(x,1 / (1 / y)) = T(x,y). [para(134(a,1),2671(a,1,2)),flip(a)]. 2675 T(x,T(y \ 1,y)) = T(x,y \ 1). [para(627(a,2),2671(a,1,2))]. 2676 T(x,T((y \ 1) \ 1,z)) = T(x,T(y,z)). [para(2095(a,1),2671(a,1,2))]. 2677 T(x,T(1 / y,z)) = T(x,T(y \ 1,z)). [para(2096(a,1),2671(a,1,2)),flip(a)]. 2678 T(x,R(y \ 1,y,z)) = T(x,z / (y * z)). [para(2561(a,2),2671(a,1,2))]. 2680 T(((1 / x) * y) * x,x \ 1) = R(y,1 / x,x). [hyper(189,a,739,a(flip),b,2672,a(flip))]. 2681 (1 / x) * T(y,x \ 1) = y * (1 / x). [para(2672(a,1),113(a,1,2))]. 2682 ((1 / x) \ (y / x)) * (1 / x) = T(y,x \ 1) / x. [para(2672(a,1),804(a,2,1))]. 2685 T(x,x \ 1) * T(y,x) = y * T(x,x \ 1). [para(2673(a,1),113(a,1,2))]. 2686 ((x \ 1) \ 1) * T(y,x) = y * T(x,x \ 1). [para(2673(a,1),524(a,1,2))]. 2687 T(x,T(1 / x,y)) = T(x,x \ 1). [hyper(189,a,2645,a(flip),b,2677,a)]. 2688 T(x,x \ 1) * T(x \ 1,y) = x * T(1 / x,y). [para(2687(a,1),1310(a,1,1))]. 2689 R(T(x,x \ 1),y,z) \ R(x,y,z) = (R(x,y,z) \ (R(x,y,z) / x)) * x. [para(2687(a,1),2017(a,1,1,1))]. 2690 (1 / x) * T(y,x \ 1) = y * (1 \ (1 / x)). [para(58(a,2),2681(a,2,2))]. 2691 (1 / (1 / x)) * (x \ y) = (y / x) * (1 / (1 / x)). [para(497(a,1),2681(a,1,2))]. 2692 T(x,R(1 / y,y,z)) = T(x,R(y \ 1,y,z)). [para(141(a,2),2678(a,2,2)),flip(a)]. 2694 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = R((x \ 1) * T(x,x \ 1),y,z). [para(2685(a,1),2141(a,2,1))]. 2695 (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(2686(a,2),447(a,2,1))]. 2696 T(x,R(y \ 1,(y \ 1) \ 1,z)) = T(x,R(1 / y,y,z)). [para(2573(a,2),2692(a,2,2)),flip(a)]. 2697 T((K(x,x \ 1) * y) * x,x \ 1) = R((x \ 1) \ y,1 / x,x). [para(2427(a,1),2680(a,1,1,1))]. 2698 T(x,(y \ x) \ 1) / (y \ x) = ((1 / (y \ x)) \ y) * (1 / (y \ x)). [para(67(a,1),2682(a,1,1,2)),flip(a)]. 2699 ((x \ 1) \ 1) * T(x \ 1,y) = x * T(1 / x,y). [hyper(551,a,2688,a)]. 2700 (x * T(1 / x,y)) \ (((x \ 1) \ 1) * (T(x \ 1,y) * z)) = L(z,T(x \ 1,y),(x \ 1) \ 1). [para(2688(a,1),528(a,1,1))]. 2702 T(x,R(y \ 1,(y \ 1) \ 1,x)) = (y * ((x * (y \ 1)) / x)) * x. [hyper(189,a,1304,a,b,2696,a)]. 2703 T(x * T(y,y \ 1),y \ 1) = R((y \ 1) \ x,1 / y,y). [para(2518(a,1),2697(a,1,1))]. 2704 T(x,R((y \ x) \ 1,((y \ x) \ 1) \ 1,x)) = K(x,y / x) * x. [para(1321(a,1),2702(a,2,1))]. 2705 T(x,R((y \ x) \ 1,((y \ x) \ 1) \ 1,x)) != z | x * K(x,y / x) = z. [para(2704(a,2),2654(a,1))]. 2706 ((1 / (1 / x)) \ y) / y = 1 / (1 / ((x \ y) / y)). [hyper(2553,a,2105,a(flip))]. 2707 1 / (1 / (((x \ 1) \ y) / y)) = ((1 / x) \ y) / y. [para(67(a,1),2706(a,1,1,1,2)),flip(a)]. 2708 L(K(x,x \ 1) * y,z,u) * K(x \ 1,x) = (x \ L(x * (y / x),z,u)) * x. [para(2512(a,1),2337(a,1,1,1))]. 2709 ((x / y) * (y / x)) * ((x / y) \ 1) = y / x. [hyper(189,a,1734,a(flip),b,2350,a)]. 2710 ((x \ y) / y) * (y / (x \ y)) = x / (((x \ y) / y) \ 1). [hyper(76,a,67,a(flip),b,2709,a),flip(a)]. 2711 x / (((x \ y) / y) \ 1) = ((x \ y) / y) * x. [para(67(a,1),2710(a,1,2)),flip(a)]. 2712 ((x \ y) / y) * R(((x \ y) / y) \ (((x \ y) / y) * x),z,u) = R(x,z,u) / (((x \ y) / y) \ 1). [para(2711(a,1),1222(a,1,2,1,2))]. 2713 R(T(x,x \ 1),y,z) \ R(x,y,z) = T(1 / x,R(x,y,z)) * x. [para(877(a,1),2689(a,2,1))]. 2715 R(T(x,x \ 1),y,z) \ R(x,y,z) != u | x * T(x \ 1,R(x,y,z)) = u. [para(2713(a,2),544(a,1))]. 2716 T(1 / (1 / (x / (y * x))),y * x) = R(T(1 / (1 / (1 / y)),y * x),y,x). [hyper(189,a,45,a,b,2589,a(flip))]. 2717 T(1 / (1 / (x / (y * x))),y * x) = (y * x) \ ((1 * K(y,y \ 1)) * x). [hyper(189,a,2614,a(flip),b,2716,a)]. 2718 T(1 / (1 / (x / (y * x))),y * x) = (y * x) \ (K(y,y \ 1) * x). [para(14(a,1),2717(a,2,2,1))]. 2719 (x * y) \ (K(x,x \ 1) * y) = 1 / (1 / ((x * y) \ y)). [hyper(2118,a,2718,a),flip(a)]. 2720 (x * y) * (1 / (1 / ((x * y) \ y))) = K(x,x \ 1) * y. [para(2719(a,1),17(a,1,2))]. 2721 K(x \ (y * x),(y * x) \ x) = K(y,y \ 1). [hyper(2551,a,2720,a)]. 2722 K(T(x,y),(x * y) \ y) = K(x,x \ 1). [para(35(a,2),2721(a,1,1))]. 2723 K(T(x,y),T(x,y) \ 1) = K(x,x \ 1). [hyper(189,a,1993,a,b,2722,a(flip)),flip(a)]. 2725 T(x,y) \ K(x,x \ 1) = 1 / T(x,y). [hyper(75,a,2723,a(flip),b,1535,a(flip))]. 2726 (T(x,y) \ 1) * K(x,x \ 1) = 1 / T(x,y). [para(2723(a,1),1541(a,1,2))]. 2727 x * (T(x,y) \ (1 / x)) = 1 / T(x,y). [hyper(1542,a,2725,a)]. 2728 (1 / x) \ (1 / T(x,y)) = T(x,y) \ x. [hyper(75,a,2725,a(flip),b,2629,a(flip))]. 2729 (1 / x) \ (1 / T(x,y)) = (x \ T(x,y)) \ 1. [para(2727(a,1),2604(a,1,2))]. 2730 K(x \ 1,x) * (1 / T(x,y)) = T(x,y) \ 1. [hyper(2511,a,2726,a)]. 2731 (1 / T(x,y)) * K(x \ 1,x) = T(x,y) \ 1. [hyper(2331,a,2726,a)]. 2732 (x \ T(x,y)) \ 1 = T(x,y) \ x. [hyper(189,a,2728,a(flip),b,2729,a(flip))]. 2733 (x \ 1) \ (T(x,y) \ 1) = T(x,y) \ x. [hyper(2066,a,2732,a)]. 2734 (R(x,y,z) \ R(T(x,u),y,z)) \ 1 = T(R(x,y,z),u) \ R(x,y,z). [para(45(a,2),2732(a,1,1,2))]. 2735 T(x / y,y) \ (x / y) = ((x / y) \ (y \ x)) \ 1. [para(115(a,1),2732(a,1,1,2)),flip(a)]. 2736 T(x,R(y,x,(y * x) \ x)) \ x = (x \ (x * K(x,y))) \ 1. [para(1407(a,1),2732(a,1,1,2)),flip(a)]. 2737 (x * T(x \ 1,y)) \ 1 = T(x \ 1,y) \ (x \ 1). [para(2638(a,1),2732(a,1,1))]. 2738 (x \ 1) * (T(x,y) \ x) = T(x,y) \ 1. [para(2733(a,1),17(a,1,2))]. 2739 K(T(x,y) \ 1,T(x,y)) = K(x \ 1,x). [hyper(1828,a,2730,a)]. 2740 x \ (x / T(x,y)) = T(x,y) \ 1. [hyper(189,a,2463,a(flip),b,2730,a(flip)),flip(a)]. 2741 x * (T(x,y) \ 1) = x / T(x,y). [para(2740(a,1),17(a,1,2))]. 2742 x / T(x,y) = T(x,y) \ x. [hyper(989,a,2741,a),flip(a)]. 2743 (1 / T(x,y)) * x = T(x,y) \ x. [hyper(1501,a,2742,a)]. 2744 K(x \ (x / ((y \ x) / T(x,y))),x) = T(x,y) \ x. [hyper(189,a,1632,a,b,2742,a(flip)),flip(a)]. 2745 (T(x,y) \ x) * T(x,y) = x. [para(2742(a,1),19(a,1,1))]. 2746 (T(x,y) \ x) \ x = T(x,y). [para(2742(a,1),69(a,1,1))]. 2748 (T(x,y) \ x) * x = x * (T(x,y) \ x). [para(2742(a,1),1507(a,1,1))]. 2749 L(x,T(x,y) \ x,x) = x. [hyper(189,a,1874,a,b,2745,a(flip)),flip(a)]. 2751 (x * y) * T(K(y,x),x) = y * x. [para(2749(a,1),1873(a,1,2)),flip(a)]. 2752 T(K(x,y),y) = K(x,y). [hyper(215,a,2751,a),flip(a)]. 2753 T(x,K(y,x)) = x. [hyper(38,a,2752,a)]. 2754 K(x,y) * y = y * K(x,y). [para(2752(a,1),113(a,1,2)),flip(a)]. 2755 (x * K(y,x)) / x = K(y,x). [para(2752(a,1),143(a,1,1,2))]. 2757 (x * K(y,x)) / x != z | K(y,x) = z. [para(2752(a,1),250(a,1,1,2)),flip(b)]. 2758 L(K(x,y),z,u) * y = y * L(K(x,y),z,u). [para(2752(a,1),159(a,1,2,1)),flip(a)]. 2759 T(x,y) * K(z,x) = K(z,x) * T(x,y). [para(2753(a,1),158(a,1,2,1)),flip(a)]. 2760 K(x,y) * T(y,z) != u | T(y,z) * K(x,y) = u. [para(2753(a,1),302(a,1,2,1))]. 2761 T(x,y * T(y \ 1,x)) = x. [para(886(a,1),2753(a,1,2))]. 2762 T(x,y \ T(y,x)) = x. [para(890(a,1),2753(a,1,2))]. 2763 T(x,x \ ((y * x) / y)) = x. [para(1472(a,1),2753(a,1,2))]. 2764 x * ((K(x,y) \ y) * K(x,y)) = (y * x) * K(x,y). [para(2753(a,1),1970(a,1,1,1)),flip(a)]. 2765 (x * K(y,x)) * (x \ T(x,z)) = K(y,x) * T(x,z). [para(2753(a,1),2069(a,1,2,1)),flip(a)]. 2766 T(x \ T(x,y),y) = x \ T(x,y). [hyper(38,a,2762,a)]. 2767 (x \ T(x,y)) * y = y * (x \ T(x,y)). [para(2762(a,1),113(a,1,2))]. 2768 (x \ T(x,y)) * T(y,z) != u | T(y,z) * (x \ T(x,y)) = u. [para(2762(a,1),302(a,1,2,1))]. 2769 R(x,K(y,z),z) * (z * K(y,z)) = (x * K(y,z)) * z. [para(2754(a,1),110(a,1,2))]. 2770 (x * y) \ ((x * K(z,x)) * y) = R(T(K(z,x),x * y),x,y). [para(2754(a,1),507(a,1,2,1))]. 2771 L((T(x,y) * (x \ y)) / y,y,x) = K(T(x,y),y). [hyper(189,a,986,a,b,2755,a(flip)),flip(a)]. 2772 T(x * T(x \ 1,y),y) = x * T(x \ 1,y). [hyper(38,a,2761,a)]. 2773 ((x * y) / x) / y = y \ ((x * y) / x). [para(2763(a,1),174(a,1,2))]. 2774 K((x * y) \ y,T(x,y)) = K(x \ 1,x). [hyper(189,a,2620,a(flip),b,2739,a(flip)),flip(a)]. 2775 K(x \ 1,x) / T(x,y) = T(x,y) \ 1. [hyper(76,a,2739,a(flip),b,165,a(flip))]. 2776 T(x,y) * K(x \ 1,x) = T(1 / (1 / x),y). [para(2739(a,1),2099(a,1,2))]. 2777 L(x,K(y \ 1,y),T(T(y,z),u)) = x. [para(2739(a,1),2605(a,1,2))]. 2778 (x * T(y,z)) / T(T(y,y \ 1),z) = x * K(y \ 1,y). [para(2739(a,1),2318(a,2,2))]. 2779 R(T(x,y),x \ 1,x) * (((x \ 1) * x) * z) = ((x \ T(x,y)) * x) * z. [para(2777(a,1),2139(a,1,2)),flip(a)]. 2780 (x * (T(x,y) \ x)) \ ((T(x,y) \ x) * z) = L(x \ z,x,T(x,y) \ x). [para(2748(a,1),104(a,2,1)),flip(a)]. 2781 T(K(x,y),T(y,z)) = K(x,y). [hyper(148,a,2759,a)]. 2782 K(K(x,y),T(y,z)) = 1. [hyper(39,a,2781,a)]. 2783 K(x \ T(x,y),T(y,z)) = 1. [para(890(a,1),2782(a,1,1))]. 2784 T(x \ T(x,y),T(y,z)) = x \ T(x,y). [hyper(40,a,2783,a)]. 2785 x * (T(x,y) \ (y * (x \ T(x,y)))) = L(y,x \ T(x,y),x). [para(2767(a,1),1010(a,1,2,2))]. 2786 (1 / x) * ((y * x) / y) = x \ ((y * x) / y). [hyper(189,a,1110,a,b,2773,a(flip)),flip(a)]. 2787 x * (((y * x) / y) / x) = (y * x) / y. [para(2773(a,2),17(a,1,2))]. 2788 R(x,y,z) \ (((u / x) * R(x,y,z)) / (u / x)) = R(u / (u / x),y,z) / R(x,y,z). [para(678(a,1),2773(a,1,1)),flip(a)]. 2790 K((x * y) \ y,y \ (x * y)) = K(x \ 1,x). [para(35(a,1),2774(a,1,2))]. 2792 (x \ 1) * (x * ((y * (x \ 1)) / y)) = (y * (x \ 1)) / y. [para(1111(a,1),2787(a,1,2))]. 2793 x * ((1 / T(x,y)) * K(x \ 1,x)) = T(x,y) \ x. [para(2731(a,2),987(a,1,2))]. 2794 T(x,L(K(y,x),z,u)) = x. [hyper(148,a,2758,a)]. 2795 x * ((y \ (x \ y)) * y) = y * (x * T(x \ 1,y)). [para(2772(a,1),1158(a,1,2)),flip(a)]. 2796 x * (T(x,y) / x) = T(x,y). [hyper(21,a,2504,a,b,2776,a),flip(a)]. 2798 T(x,y) / x = x \ T(x,y). [hyper(80,a,2796,a),flip(a)]. 2799 (x \ T(x,y)) * x = T(x,y). [para(2796(a,1),70(a,1,1,2))]. 2800 x \ T(x,R(y,y \ 1,x)) = y \ ((x * y) / x). [hyper(1300,a,2798,a),flip(a)]. 2801 (1 / x) * T((1 / x) \ 1,y) = x \ T(x,y). [hyper(1226,a,2798,a)]. 2802 (1 / x) * T(x,y) = x \ T(x,y). [hyper(189,a,793,a,b,2798,a(flip)),flip(a)]. 2803 (x \ T(x,y)) * x != z | T(x,y) = z. [para(2798(a,1),200(a,1,1)),flip(b)]. 2804 R(x \ T(x,y),x,z) = (T(x,y) * z) / (x * z). [para(2798(a,1),111(a,1,1))]. 2805 R((x / y) \ T(x / y,z),x / y,y) = (T(x / y,z) * y) / x. [para(2798(a,1),391(a,1,1))]. 2806 R((1 / x) * ((y * x) / y),x,x \ y) = (1 / x) * ((y \ T(y,x)) * x). [para(2798(a,1),1227(a,2,2,1))]. 2807 (x \ T(x,y)) / (y \ 1) = y * (T(x,y) / x). [para(2798(a,1),1865(a,1,1))]. 2808 (x * (y \ T(y,x))) \ (x * z) = x * ((x * (T(y,x) / y)) \ z). [para(2798(a,1),1965(a,1,1,2))]. 2809 T(x,x \ T(x,y)) = x. [hyper(227,a,2799,a)]. 2810 T(x,R(1 / y,y,x)) = T(x,x / (x * y)). [hyper(189,a,1403,a,b,2799,a(flip)),flip(a)]. 2811 T(x,y) \ ((x \ T(x,y)) * (x * z)) = L(z,x,x \ T(x,y)). [para(2799(a,1),31(a,2,1)),flip(a)]. 2812 (x \ ((x \ y) \ y)) * x = T(x,x \ y). [para(114(a,1),2799(a,1,1,2))]. 2813 T(x,y) * L(z,x,x \ T(x,y)) = (x \ T(x,y)) * (x * z). [para(2799(a,1),102(a,1,1))]. 2814 (T(x,y) * z) / (x * z) != u | R(x \ T(x,y),x,z) = u. [para(2799(a,1),385(a,1,1,1))]. 2815 K(x,x \ T(x,y)) = 1. [hyper(39,a,2809,a)]. 2816 T(x,y) * (x \ T(x,z)) = (x \ T(x,z)) * T(x,y). [para(2809(a,1),158(a,1,2,1)),flip(a)]. 2817 T(x,K(y \ (y / (x \ 1)),y)) = x. [para(890(a,2),2809(a,1,2))]. 2818 K(x,T(x,y) / x) = 1. [para(2798(a,2),2815(a,1,2))]. 2819 T(1 / x,T(x,y)) = x \ 1. [hyper(75,a,2818,a(flip),b,1064,a),flip(a)]. 2820 L(x \ 1,x,y \ ((x * y) / x)) = x \ 1. [hyper(189,a,1302,a(flip),b,2819,a(flip)),flip(a)]. 2821 T(x \ 1,T(x,y)) = T(x \ 1,x). [para(2819(a,1),161(a,1,1)),flip(a)]. 2822 T(x / (y * x),T(y,z)) = R(y \ 1,y,x). [para(2819(a,1),288(a,2,1))]. 2823 (((x * y) / x) \ y) \ y = (x * y) / x. [hyper(916,a,2817,a)]. 2824 K(T(x,y) \ (T(x,y) / T(x,z)),T(x,y)) = T(x * T(x \ 1,x),z). [para(2821(a,1),1374(a,1,1,2)),flip(a)]. 2826 (((x * y) / x) \ y) * ((x * y) / x) = y. [para(2823(a,1),17(a,1,2))]. 2827 (((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1)) \ (x \ 1) = (R(x,y,z) * (x \ 1)) / R(x,y,z). [para(867(a,1),2823(a,1,1,1,1))]. 2828 (((L(x,y,y \ 1) * y) / y) \ ((1 / y) * (x * y))) * ((y * ((1 / y) * (x * y))) / y) = (1 / y) * (x * y). [para(2382(a,1),2826(a,1,1,1,1))]. 2829 T(x,R(y \ 1,y,x)) = T(x,x / (x * y)). [hyper(189,a,2692,a(flip),b,2810,a(flip)),flip(a)]. 2832 L(x \ 1,x,T(y,x) \ y) = x \ 1. [para(143(a,1),2820(a,1,3,2))]. 2833 (x * y) * ((((x * y) \ y) \ 1) \ 1) = K(x \ 1,x) * y. [para(2790(a,1),2624(a,1,1)),flip(a)]. 2834 (x \ T(x,y)) / (y \ 1) = y * (x \ T(x,y)). [para(2798(a,1),2807(a,2,2))]. 2835 (x * (y \ T(y,x))) * (x \ 1) = y \ T(y,x). [para(2834(a,1),19(a,1,1))]. 2836 R(x,y,z) \ T(R(x,y,z),R(x \ 1,(x \ 1) \ 1,R(x,y,z))) = (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)). [para(867(a,1),2800(a,2,2,1))]. 2837 T(x,y \ ((x * y) / x)) = x. [para(2800(a,1),2809(a,1,2))]. 2838 T(x,T(y,x) \ y) = x. [para(143(a,1),2837(a,1,2,2))]. 2839 T(T(x,y) \ x,y) = T(x,y) \ x. [hyper(38,a,2838,a)]. 2840 (T(x,y) \ x) * y = y * (T(x,y) \ x). [para(2838(a,1),113(a,1,2))]. 2842 K(K(x,y),T(z,y) \ z) = 1. [para(2839(a,1),1955(a,1,2))]. 2843 K(x \ T(x,y),T(z,y) \ z) = 1. [para(890(a,1),2842(a,1,1))]. 2844 1 / (x \ T(x,y)) = (x \ T(x,y)) \ 1. [hyper(75,a,2843,a(flip),b,2000,a),flip(a)]. 2845 T(x,R(T(y,x),T(y,x) \ 1,x)) = x * (T(y,x) \ y). [hyper(189,a,1299,a,b,2840,a(flip)),flip(a)]. 2846 (x * ((x * (T(y,x) \ y)) \ x)) \ (x * x) = (T(y,x) \ y) * x. [para(2840(a,1),1702(a,1,1,2,1))]. 2847 1 / (x \ T(x,y)) = T(x,y) \ x. [hyper(189,a,2732,a(flip),b,2844,a)]. 2848 x * ((T(x,y) \ x) \ 1) = T(x,y). [para(2847(a,1),132(a,1,2,1))]. 2849 T(x,R(y,y \ 1,x)) \ x = 1 / (y \ ((x * y) / x)). [para(2800(a,1),2847(a,1,2)),flip(a)]. 2850 ((x / y) \ (y \ x)) \ 1 = (y \ x) \ (x / y). [para(115(a,1),2735(a,1,1)),flip(a)]. 2851 (x \ (x * y)) \ ((x * y) / x) = (((x * y) / x) \ y) \ 1. [para(16(a,1),2850(a,1,1,2)),flip(a)]. 2852 T(L(x \ 1,x,y) \ 1,y) \ (L(x \ 1,x,y) \ 1) = K(x,y) \ 1. [para(906(a,2),2737(a,1,1)),flip(a)]. 2853 T((x \ y) \ 1,z) \ ((x \ y) \ 1) = (x \ (y * T(y \ x,z))) \ 1. [para(1071(a,1),2737(a,1,1)),flip(a)]. 2854 T(x \ 1,T(x,y) \ x) = x \ 1. [para(2744(a,1),1842(a,1,2))]. 2855 R(K(x \ (x / ((y \ x) / T(x,y))),x),x \ 1,x) = ((1 / x) * (T(x,y) \ x)) * x. [para(2744(a,1),2277(a,1,1,2)),flip(a)]. 2856 T(T(x,y) \ x,x \ 1) = T(x,y) \ x. [hyper(38,a,2854,a)]. 2857 (K(x,y) \ y) * K(x,y) = y. [hyper(20,a,95,a(flip),b,2764,a)]. 2858 x / K(y,x) = K(y,x) \ x. [hyper(88,a,2857,a)]. 2859 R(K(x,y) \ y,K(x,y),z) = (y * z) / (K(x,y) * z). [para(2857(a,1),33(a,2,1,1))]. 2862 K(x,y) * (z * T(z \ L((y \ 1) \ z,y \ 1,y * K(x,y)),u)) = (K(x,y) * T(y,u)) * z. [para(2765(a,1),2229(a,2,1))]. 2863 (x * (1 / T(x,y))) * K(x \ 1,x) = T(x,y) \ x. [hyper(2354,a,2793,a)]. 2864 (x \ T(x,y)) * T(x,z) = T(x,y) * (x \ T(x,z)). [hyper(1061,a,2816,a),flip(a)]. 2865 (x \ 1) * (x * (1 / T(x,y))) = (1 / x) * (T(x,y) \ x). [para(2863(a,1),2496(a,1,2)),flip(a)]. 2866 (T(x,y) * T(x,z)) / ((x \ T(x,y)) * T(x,z)) = x. [para(2864(a,2),976(a,1,2))]. 2867 R(x,x \ T(x,y),T(x,z)) = x. [hyper(588,a,2866,a)]. 2868 L(x,x \ T(x,y),x) = x. [para(2867(a,1),1056(a,1,1))]. 2869 (x * T(y,z)) / T((y \ 1) \ 1,z) = x * K(y \ 1,y). [para(114(a,1),2778(a,1,2,1))]. 2872 (((x * y) / x) \ y) \ 1 = y \ ((x * y) / x). [para(16(a,1),2851(a,1,1)),flip(a)]. 2873 1 / (x \ ((y * x) / y)) = ((y * x) / y) \ x. [para(2872(a,1),67(a,1,2))]. 2874 T(x,R(y,y \ 1,x)) \ x = ((x * y) / x) \ y. [hyper(189,a,2849,a,b,2873,a(flip)),flip(a)]. 2875 T(x,R(y,y \ 1,x)) \ 1 = x \ (((x * y) / x) \ y). [hyper(75,a,2874,a(flip),b,987,a),flip(a)]. 2876 T(x,R(T(y,x),T(y,x) \ 1,x)) \ x = y \ T(y,x). [para(143(a,1),2874(a,2,1))]. 2877 T(x,x \ (((x * y) / x) \ y)) = T(x,x \ 1). [para(2875(a,1),2528(a,1,2))]. 2878 T(x,x \ (y \ T(y,x))) = T(x,x \ 1). [para(143(a,1),2877(a,1,2,2,1))]. 2879 T(x,x \ ((((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)))) = T(x,x \ 1). [para(900(a,1),2878(a,1,2,2,2))]. 2880 1 / T(x,R(T(y,x),T(y,x) \ 1,x)) = (y \ T(y,x)) / x. [hyper(76,a,2876,a(flip),b,2743,a),flip(a)]. 2881 (x * (T(y,x) \ y)) \ x = y \ T(y,x). [para(2845(a,1),2876(a,1,1))]. 2882 x / (y \ T(y,x)) = x * (T(y,x) \ y). [para(2881(a,1),67(a,1,2))]. 2883 x / ((((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x))) = x * (T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)). [para(900(a,1),2882(a,1,2,2))]. 2884 L((1 / T(x,y)) * x,x \ 1,x) = ((1 / x) * (T(x,y) \ x)) * x. [para(2865(a,1),1907(a,1,1)),flip(a)]. 2885 (x * K(y \ 1,y)) * T((y \ 1) \ 1,z) = x * T(y,z). [para(2869(a,1),19(a,1,1))]. 2886 T(x,R(y,x,(y * x) \ x)) \ x = K(x,y) \ 1. [para(16(a,1),2736(a,2,1))]. 2888 L(x * y,x \ T(x,z),x) = x * L(y,x,x \ T(x,z)). [para(2811(a,1),1010(a,1,2)),flip(a)]. 2889 x * L(x \ y,x,x \ T(x,z)) = L(y,x \ T(x,z),x). [para(17(a,1),2888(a,1,1)),flip(a)]. 2890 T(x * L(x \ ((y * z) / y),x,x \ T(x,y)),y) = (x \ T(x,y)) * (x * (T(x,y) \ z)). [hyper(189,a,1921,a,b,2813,a(flip)),flip(a)]. 2891 1 / (x * (T(y,x) \ y)) = (y \ T(y,x)) / x. [para(2845(a,1),2880(a,1,2))]. 2892 1 / (x * (T(y \ 1,x) \ (y \ 1))) = (y * T(y \ 1,x)) / x. [para(2638(a,1),2891(a,2,1))]. 2893 (x * (y \ T(y,x))) \ (x * z) = x * ((x * (y \ T(y,x))) \ z). [para(2798(a,1),2808(a,2,2,1,2))]. 2894 (x * ((x * (T(y,x) \ y)) \ x)) \ (x * x) = x * (T(y,x) \ y). [hyper(189,a,2840,a(flip),b,2846,a)]. 2896 (x * (y \ T(y,x))) \ (x * x) = x * (T(y,x) \ y). [para(2881(a,1),2894(a,1,1,2))]. 2897 (x * (y \ T(y,x))) \ x = T(y,x) \ y. [hyper(20,a,2893,a(flip),b,2896,a(flip)),flip(a)]. 2898 R((x / y) \ T(x / y,z),x / y,y) = (y * T(y \ x,z)) / x. [para(323(a,1),2805(a,2,1))]. 2899 ((1 / x) * (T(x,y) \ x)) * x = L(T(x,y) \ x,x \ 1,x). [para(2743(a,1),2884(a,1,1)),flip(a)]. 2900 (R(x,y,z) \ R(T(x,u),y,z)) \ 1 = R(T(x,u),y,z) \ R(x,y,z). [para(45(a,2),2734(a,2,1))]. 2901 K(T(1 / T(x,y),T(x,z)),T(x,z)) = T(x * T(x \ 1,x),y). [para(1022(a,1),2824(a,1,1))]. 2902 K(T(1 / T(x,y),T(x,z)),T(x,z)) = T((x \ 1) * x,y). [para(113(a,1),2901(a,2,1))]. 2903 K(T(1 / T(x,y),T(x,z)),T(x,z)) = K(x \ 1,x). [hyper(189,a,2476,a(flip),b,2902,a)]. 2905 T(1 / T(x,y),T(x,z)) = K(x \ 1,x) / T(x,y). [para(2903(a,1),1096(a,1,1)),flip(a)]. 2906 T(1 / T(x,y),T(x,z)) = T(x,y) \ 1. [hyper(189,a,2775,a(flip),b,2905,a)]. 2909 K(T(x,y) \ 1,T(x,z)) = K(x \ 1,x). [para(2906(a,1),2903(a,1,1))]. 2911 K(x \ 1,T(x,y)) = K(x \ 1,x). [para(112(a,1),2909(a,1,1,1))]. 2916 R(x \ T(x,y),K(x \ 1,x),z) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,T(x,y)) * z. [para(2911(a,1),816(a,1,1,2))]. 2917 L(x \ 1,x,K(y,x) \ 1) = x \ 1. [para(2852(a,1),2832(a,1,3))]. 2918 T(x,K(y,x) \ 1) = x. [para(2852(a,1),2838(a,1,2))]. 2919 (K(x,y) \ 1) * y = y * (K(x,y) \ 1). [para(2918(a,1),113(a,1,2))]. 2920 (x * (K(y,x) \ 1)) \ (K(y,x) \ 1) = L(x \ 1,x,K(y,x) \ 1). [para(2919(a,1),140(a,2,1)),flip(a)]. 2921 (x * (K(y,x) \ 1)) \ (K(y,x) \ 1) = x \ 1. [hyper(189,a,2917,a(flip),b,2920,a)]. 2923 R(T(x,x \ 1),y,z) \ R(x,y,z) = a(R(x,y,z),1 / x,x) \ 1. [para(742(a,1),2900(a,1,1)),flip(a)]. 2924 T(T(x,x \ 1),y) * (((x \ 1) * x) * z) = ((x \ T(x,y)) * x) * z. [para(1138(a,1),2779(a,1,1))]. 2925 T(T(x,x \ 1),y) * (K(x \ 1,x) * z) = ((x \ T(x,y)) * x) * z. [para(165(a,2),2924(a,1,2,1))]. 2926 R((1 / x) * ((y * x) / y),x,x \ y) = (1 / x) * (x * (y \ T(y,x))). [para(2767(a,1),2806(a,2,2))]. 2927 R((1 / x) * ((y * x) / y),x,x \ y) = L(y \ T(y,x),x,1 / x). [hyper(189,a,169,a(flip),b,2926,a)]. 2928 R(x \ ((y * x) / y),x,x \ y) = L(y \ T(y,x),x,1 / x). [para(2786(a,1),2927(a,1,1))]. 2929 T(T(x,y) / (y * (y \ x)),y) = L(x \ T(x,y),y,1 / y). [hyper(189,a,1034,a(flip),b,2928,a(flip)),flip(a)]. 2930 L(x \ T(x,y),y,1 / y) = T(T(x,y) / x,y). [para(17(a,1),2929(a,1,1,2)),flip(a)]. 2931 L(x \ T(x,y),y,1 / y) = T(x \ T(x,y),y). [para(2798(a,1),2930(a,2,1))]. 2932 L(x \ T(x,y),y,1 / y) = x \ T(x,y). [hyper(189,a,2766,a(flip),b,2931,a)]. 2933 (x \ T(x,y)) / (y * (x \ T(x,y))) = 1 / y. [hyper(76,a,2932,a(flip),b,169,a)]. 2934 R(1 / x,x,y \ T(y,x)) = 1 / x. [hyper(314,a,2933,a)]. 2935 R(1 / x,x,y * T(y \ 1,x)) = 1 / x. [para(765(a,1),2934(a,1,3))]. 2936 R(1 / x,x,K(y,x)) = 1 / x. [para(903(a,2),2935(a,1,3))]. 2937 K(x,y) / (y * K(x,y)) = 1 / y. [hyper(610,a,2936,a)]. 2938 (1 / x) \ K(y,x) = x * K(y,x). [para(2936(a,1),290(a,1,1))]. 2939 (x \ 1) * K(y,x \ 1) = x \ K(y,x \ 1). [para(67(a,1),2938(a,1,1)),flip(a)]. 2940 T(x,x \ K(y,x)) = T(x,x \ 1). [para(2669(a,1),2879(a,1,2,2))]. 2941 K(x,y) / T(y,y \ 1) = y \ K(x,y). [para(2940(a,1),174(a,1,2))]. 2942 (x \ K(y,x)) * K(x,x \ 1) = K(y,x) / x. [para(2941(a,1),2262(a,1,1))]. 2943 K(x,y) * K(y,y \ 1) = y * (K(x,y) / y). [para(2942(a,1),2035(a,1,2)),flip(a)]. 2944 (x \ 1) * (x * (K(y,x) / x)) = (1 / x) * K(y,x). [para(2943(a,1),2510(a,1,2))]. 2945 L(K(x,y),y \ 1,y) / y = (1 / y) * K(x,y). [hyper(189,a,1909,a(flip),b,2944,a(flip)),flip(a)]. 2946 K(x \ 1,x) * R(y * T(x,x \ 1),z,u) = (x \ R(x * y,z,u)) * x. [para(2500(a,1),2451(a,1,2,1))]. 2947 R((x \ (1 / (1 / y))) * x,1 / y,(1 / y) \ 1) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). [hyper(189,a,373,a,b,2548,a),flip(a)]. 2948 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(x * (1 / (1 / (x \ 1))),y,z). [para(2387(a,1),2557(a,1,2))]. 2949 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(x * (1 / x),y,z). [para(67(a,1),2948(a,2,1,2,2))]. 2950 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(K(x,x \ 1),y,z). [para(1535(a,2),2949(a,2,1))]. 2951 ((x \ (x / (y \ 1))) * z) * K(y \ 1,y) = (1 / ((x \ (x / (1 / y))) \ 1)) * z. [para(2298(a,1),2668(a,2,1,2))]. 2952 K(x \ 1,x) * L(K(x,x \ 1) * y,z,u) = (x \ L(x * (y / x),z,u)) * x. [hyper(2477,a,2708,a)]. 2953 ((x \ (x / (y \ 1))) * z) * K(y \ 1,y) = (x \ (x / (1 / y))) * z. [hyper(189,a,126,a(flip),b,2951,a)]. 2955 K(x \ 1,x) * L(y * K(x,x \ 1),z,u) = (x \ L(x * (y / x),z,u)) * x. [para(2502(a,1),2952(a,1,2,1))]. 2956 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = R(1,y,z). [para(145(a,1),2694(a,2,1))]. 2957 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = 1. [hyper(189,a,268,a(flip),b,2956,a)]. 2960 ((x \ R(x,y,z)) \ (x \ 1)) * (x \ R(x,y,z)) = (x \ 1) * 1. [para(2957(a,1),213(a,1,2)),flip(a)]. 2961 (x \ 1) / (x \ R(x,y,z)) = (x \ R(x,y,z)) \ (x \ 1). [hyper(76,a,15,a(flip),b,2960,a)]. 2962 (x \ R(x,y,z)) \ (x \ 1) = R(x,y,z) \ 1. [hyper(189,a,2227,a(flip),b,2961,a(flip))]. 2963 (x \ 1) \ (R(x,y,z) \ 1) = (x \ R(x,y,z)) \ 1. [hyper(75,a,2962,a(flip),b,1937,a)]. 2964 ((1 / x) \ R(1 / x,y,z)) \ x = R(1 / x,y,z) \ 1. [para(69(a,1),2962(a,1,2))]. 2965 (x * R(x \ 1,y,z)) \ x = R(1 / x,y,z) \ 1. [para(857(a,1),2964(a,1,1))]. 2966 R(1 / (1 / x),y,z) \ 1 = (R(x,y,z) / x) \ (1 / x). [para(915(a,1),2965(a,1,1)),flip(a)]. 2967 R(K(x \ (x / ((y \ x) / T(x,y))),x),x \ 1,x) = L(T(x,y) \ x,x \ 1,x). [hyper(189,a,2899,a(flip),b,2855,a)]. 2968 R(T(x,y) \ x,x \ 1,x) = L(T(x,y) \ x,x \ 1,x). [para(2744(a,1),2967(a,1,1))]. 2969 R(x / (x / y),z,u) / R(y,z,u) = R(y,z,u) \ R(x / (x / y),z,u). [para(678(a,1),2788(a,1,2)),flip(a)]. 2970 R(x,y,z) \ R(1 / (1 / x),y,z) = x * T(x \ 1,R(x,y,z)). [hyper(189,a,1367,a(flip),b,2969,a(flip))]. 2971 T(L((x * y) / x,z \ T(z,x),z),x) = (z \ T(z,x)) * (z * (T(z,x) \ y)). [para(2889(a,1),2890(a,1,1))]. 2972 L(x \ (x * y),z \ T(z,x),z) = (z \ T(z,x)) * (z * (T(z,x) \ y)). [hyper(674,a,2971,a)]. 2973 (x \ T(x,y)) * (x * (T(x,y) \ z)) = L(z,x \ T(x,y),x). [para(16(a,1),2972(a,1,1)),flip(a)]. 2974 (x \ T(x,y)) \ x = x * (T(x,y) \ x). [hyper(75,a,2868,a(flip),b,2973,a)]. 2975 (x \ T(x,y)) * T(y,T(x,y)) = L(y,x \ T(x,y),x). [para(1008(a,1),2973(a,1,2))]. 2976 x * (T(x,R(y,x,(y * x) \ x)) \ x) = (x \ (x * K(x,y))) \ x. [para(1407(a,1),2974(a,1,1,2)),flip(a)]. 2977 x * (T(x,R(y,y \ 1,x)) \ x) = (y \ ((x * y) / x)) \ x. [para(2800(a,1),2974(a,1,1)),flip(a)]. 2978 T(x,T(y,x)) * (y \ T(y,x)) = L(x,y \ T(y,x),y). [hyper(2768,a,2975,a)]. 2979 (x \ ((y * x) / y)) \ y = y * (((y * x) / y) \ x). [para(2874(a,1),2977(a,1,2)),flip(a)]. 2980 x * (((x * T(y,x)) / x) \ T(y,x)) = (T(y,x) \ y) \ x. [para(143(a,1),2979(a,1,1,2)),flip(a)]. 2981 (T(x,y) \ x) \ y = y * (x \ T(x,y)). [para(143(a,1),2980(a,1,2,1)),flip(a)]. 2982 (T(x,y) \ x) * (y * (x \ T(x,y))) = y. [para(2981(a,1),17(a,1,2))]. 2983 x * (T(x,R(y,x,(y * x) \ x)) \ x) = K(x,y) \ x. [para(16(a,1),2976(a,2,1))]. 2985 x * (K(x,y) \ 1) = K(x,y) \ x. [para(2886(a,1),2983(a,1,2))]. 2987 K(T(x,y),T(x,y) \ 1) * (((1 / T(x,y)) \ 1) \ z) = T(1 / (1 / x),y) \ z. [para(1536(a,1),2406(a,1,1))]. 2989 K(x,x \ 1) * (((1 / T(x,y)) \ 1) \ z) = T(1 / (1 / x),y) \ z. [para(2723(a,1),2987(a,1,1))]. 2990 K(x,x \ 1) * (T(x,y) \ z) = T(1 / (1 / x),y) \ z. [para(69(a,1),2989(a,1,2,1))]. 2992 (T(x,y) \ z) * K(x,x \ 1) = T(1 / (1 / x),y) \ z. [hyper(2520,a,2990,a)]. 2994 (T(x \ 1,y) \ z) * K(x \ 1,x) = T(1 / (1 / (x \ 1)),y) \ z. [para(1538(a,1),2992(a,1,2))]. 2995 (T(x \ 1,y) \ z) * K(x \ 1,x) = T(1 / x,y) \ z. [para(67(a,1),2994(a,2,1,1,2))]. 2996 K(x \ 1,x) * (T(x \ 1,y) \ z) = T(1 / x,y) \ z. [hyper(2477,a,2995,a)]. 2997 T(1 / x,y) \ (T(x \ 1,y) * z) = K(x \ 1,x) * z. [para(16(a,1),2996(a,1,2)),flip(a)]. 2998 T(1 / x,y) * (K(x \ 1,x) * z) = T(x \ 1,y) * z. [para(2997(a,1),17(a,1,2))]. 2999 T(1 / x,y) * ((1 / x) \ z) = T(x \ 1,y) * ((x \ 1) \ z). [para(2376(a,1),2998(a,1,2))]. 3000 (1 / x) * (T(x \ 1,y) * ((x \ 1) \ z)) = T(1 / x,y) * z. [para(2999(a,1),974(a,1,2))]. 3001 T(x \ 1,y) * ((x \ 1) \ (K(x,x \ 1) * z)) = T(1 / x,y) * ((x \ 1) \ z). [para(2426(a,1),2999(a,1,2)),flip(a)]. 3002 T(x \ 1,y) * ((((x \ 1) \ 1) \ 1) \ z) = T(1 / x,y) * ((x \ 1) \ z). [para(2464(a,1),3001(a,1,2))]. 3003 T(x \ 1,y) * (T(x \ 1,(x \ 1) \ 1) \ z) = T(1 / x,y) * ((x \ 1) \ z). [para(114(a,2),3002(a,1,2,1))]. 3004 T(T(x,x \ 1),y) * (K(x \ 1,x) * z) = K(x \ 1,x) * (T(T(x,x \ 1),y) * z). [hyper(189,a,2465,a(flip),b,2458,a(flip)),flip(a)]. 3005 K(x \ 1,x) * (T(T(x,x \ 1),y) * z) = ((x \ T(x,y)) * x) * z. [hyper(189,a,2925,a(flip),b,3004,a(flip))]. 3006 T(x,x \ 1) * (((x \ T(x,y)) * x) * z) = x * (T(T(x,x \ 1),y) * z). [para(3005(a,1),2454(a,1,2))]. 3007 T(x,x \ 1) * (T(x,y) * z) = x * (T(T(x,x \ 1),y) * z). [para(2799(a,1),3006(a,1,2,1))]. 3008 T(x,x \ 1) * (T(x,y) * z) = x * (T((x \ 1) \ 1,y) * z). [para(114(a,1),3007(a,2,2,1,1))]. 3009 (1 / x) * (T(((1 / x) \ 1) \ 1,y) * z) = (x \ 1) * (T(1 / x,y) * z). [para(497(a,1),3008(a,1,1)),flip(a)]. 3010 (1 / x) * (T(x \ 1,y) * z) = (x \ 1) * (T(1 / x,y) * z). [para(69(a,1),3009(a,1,2,1,1,1))]. 3011 K(x \ 1,x) * (T(1 / x,y) * z) = T(x \ 1,y) * z. [hyper(20,a,2417,a,b,3010,a),flip(a)]. 3012 (T(1 / x,y) * z) / (T(1 / x,y) * ((x \ 1) \ z)) = x \ 1. [hyper(76,a,3000,a(flip),b,3010,a(flip))]. 3013 ((x \ 1) \ 1) * (T(x \ 1,y) * z) = x * (T(1 / x,y) * z). [para(3011(a,1),2455(a,1,2))]. 3014 (((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1)) \ (x \ 1) = (x \ R(x,y,z)) / R(x,y,z). [para(867(a,1),2827(a,2,1))]. 3015 (x * T(1 / x,y)) \ (x * (T(1 / x,y) * z)) = L(z,T(x \ 1,y),(x \ 1) \ 1). [para(3013(a,1),2700(a,1,2))]. 3016 L(x,T(y \ 1,z),(y \ 1) \ 1) != u | L(x,T(1 / y,z),y) = u. [para(3015(a,1),355(a,1))]. 3017 K(T(x / y,T(y,x)) \ 1,T(x / y,T(y,x))) = K(x \ y,T(x / y,T(y,x))). [para(1030(a,1),2623(a,2,1))]. 3018 K(T(x / y,T(y,x)) \ 1,T(x / y,T(y,x))) = K(x \ y,y \ x). [hyper(189,a,2008,a(flip),b,3017,a)]. 3019 K((x / y) \ 1,x / y) = K(x \ y,y \ x). [hyper(189,a,2909,a(flip),b,3018,a(flip)),flip(a)]. 3021 K(x / y,y / x) = K(y \ x,x \ y). [hyper(189,a,2342,a(flip),b,3019,a(flip)),flip(a)]. 3022 K(x / y,(x / y) \ 1) = K(y \ x,x \ y). [hyper(2132,a,3021,a)]. 3023 K(x \ y,y \ x) * (y / x) = ((y / x) \ 1) \ 1. [para(3022(a,1),1540(a,1,1))]. 3024 K(((x * y) * z) \ (y * z),R(T(x,y * z),y,z)) * ((y * z) / ((x * y) * z)) = (((y * z) / ((x * y) * z)) \ 1) \ 1. [para(507(a,1),3023(a,1,1,2))]. 3025 R(x,y,z) / (((x \ u) / u) \ 1) = ((x \ u) / u) * R(x,y,z). [para(16(a,1),2712(a,1,2,1)),flip(a)]. 3026 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(3025(a,1),901(a,1,1,2))]. 3027 R((x \ (x / (1 / y))) * x,y \ 1,y) = (x * ((y \ 1) * T((y \ 1) \ 1,x))) * y. [para(2953(a,1),2357(a,1,1))]. 3028 R((x \ (x / (1 / y))) * x,y \ 1,y) = (x * (y \ T(y,x))) * y. [para(770(a,1),3027(a,2,1,2))]. 3029 R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)) = ((x * y) * (1 / z)) / (y * (1 / z)). [para(2263(a,1),2269(a,1,2)),flip(a)]. 3030 R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)) != u | R(x,y,1 / z) = u. [para(3029(a,2),385(a,1))]. 3031 R((1 / x) * T((1 / x) \ 1,y),K(x \ 1,x),z) = (1 / x) * T((1 / x) \ 1,y). [para(2400(a,1),2401(a,2,2,1,1))]. 3032 R((1 / x) * T((1 / x) \ 1,y),K(x \ 1,x),z) = x \ T(x,y). [hyper(189,a,2801,a(flip),b,3031,a)]. 3034 R(x \ T(x,y),K(x \ 1,x),z) = x \ T(x,y). [para(2801(a,1),3032(a,1,1))]. 3035 (x \ T(x,y)) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,T(x,y)) * z. [para(3034(a,1),2916(a,1,1))]. 3036 (x \ T(x,y)) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,x) * z. [para(2911(a,1),3035(a,2,1))]. 3038 (x \ T(x,y)) * (K(x \ 1,x) * z) = ((x \ 1) * T(x,y)) * z. [para(3036(a,1),17(a,1,2))]. 3040 (x \ T(x,y)) * (z * K(x \ 1,x)) = ((x \ 1) * T(x,y)) * z. [para(2475(a,1),3038(a,1,2))]. 3041 L(L(x,y,1 / z),(1 / z) * y,K(z \ 1,z)) = ((z \ 1) * y) \ ((z \ 1) * (y * x)). [para(2378(a,1),2409(a,1,2)),flip(a)]. 3042 L(L(x,y,1 / z),(1 / z) * y,K(z \ 1,z)) != u | L(x,y,z \ 1) = u. [para(3041(a,2),355(a,1))]. 3043 (x * K(y,y \ 1)) \ ((x * z) * K(y,y \ 1)) = L(z,T(x,K(y,y \ 1)),K(y,y \ 1)). [para(2513(a,1),2515(a,1,2,1,1))]. 3044 (L(x,y,y \ 1) \ ((1 / y) * (x * y))) * ((y * ((1 / y) * (x * y))) / y) = (1 / y) * (x * y). [para(18(a,1),2828(a,1,1,1))]. 3046 x * ((y * ((1 / y) * (z * y))) / y) != (1 / y) * (z * y) | L(z,y,y \ 1) \ ((1 / y) * (z * y)) = x. [para(3044(a,1),23(a,1)),flip(a)]. 3047 T((x \ 1) * (x * ((y * z) / y)),y) = T(1 / x,y) * L(T(1 / x,y) \ z,x \ 1,x). [para(2560(a,1),2562(a,1,1))]. 3048 R(x,y,z) \ T(R(x,y,z),R(1 / x,x,R(x,y,z))) = (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)). [para(2696(a,1),2836(a,1,2))]. 3049 R(x,y,z) \ R(T(x,R(1 / x,x,R(x,y,z))),y,z) = (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)). [para(45(a,2),3048(a,1,2))]. 3050 (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) = R(x,y,z) \ R(T(x,x \ 1),y,z). [para(1749(a,1),3049(a,1,2,1)),flip(a)]. 3051 (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) = a(R(x,y,z),1 / x,x). [hyper(189,a,742,a(flip),b,3050,a)]. 3053 x * ((x \ R(x,y,z)) / R(x,y,z)) = a(R(x,y,z),1 / x,x). [hyper(2630,a,3051,a)]. 3054 x * L(x \ 1,R(x,y,z),1 / x) = a(R(x,y,z),1 / x,x). [para(1671(a,2),3053(a,1,2))]. 3055 R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = R(a(R(x,y,z),1 / x,x),y,z). [para(3054(a,1),2240(a,1,1)),flip(a)]. 3056 x * (T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)) = x / K(y,x). [para(2669(a,1),2883(a,1,2)),flip(a)]. 3057 x * (T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)) = K(y,x) \ x. [hyper(189,a,2858,a(flip),b,3056,a)]. 3058 x * (((x * y) \ (x * T(x \ (x * y),x))) \ 1) = x / K(y,x). [para(2853(a,1),3056(a,1,2))]. 3059 x * (((x * y) \ (x * T(y,x))) \ 1) = x / K(y,x). [para(16(a,1),3058(a,1,2,1,2,2,1))]. 3060 x * (((x * y) \ (y * x)) \ 1) = x / K(y,x). [para(113(a,1),3059(a,1,2,1,2))]. 3061 x * (K(y,x) \ 1) = x / K(y,x). [para(29(a,2),3060(a,1,2,1))]. 3062 x * (K(y,x) \ 1) = K(y,x) \ x. [hyper(189,a,2858,a(flip),b,3061,a)]. 3063 x \ (K(y,x) \ x) = K(y,x) \ 1. [hyper(75,a,2858,a(flip),b,3061,a)]. 3065 (K(x,y) \ 1) \ (K(x,y) \ y) = y. [hyper(75,a,3062,a(flip),b,2919,a)]. 3066 K(x,y) \ y != y * z | K(x,y) \ 1 = z. [para(3062(a,1),22(a,1))]. 3067 R(x,K(y,x) \ 1,z) \ ((K(y,x) \ x) * z) = (K(y,x) \ 1) * z. [para(3062(a,1),133(a,1,2,1))]. 3068 (K(x,y) \ y) \ (K(x,y) \ 1) = y \ 1. [para(3062(a,1),2921(a,1,1))]. 3069 (x * K(y,x)) \ x = K(y,x) \ 1. [hyper(75,a,3065,a(flip),b,656,a(flip))]. 3070 (K(x,y) \ 1) * T(y,z) = K(x,y) \ T(y,z). [para(3065(a,1),771(a,1,2,1))]. 3071 (K(x,y) \ y) * (y \ 1) = K(x,y) \ 1. [para(3068(a,1),17(a,1,2))]. 3072 R(K(x,y) \ y,y \ 1,y) = (K(x,y) \ 1) * ((y \ 1) \ 1). [para(3071(a,1),2271(a,1,1)),flip(a)]. 3073 K(x,y) \ T(y,y \ z) = (K(x,y) \ 1) * ((y \ z) \ z). [hyper(189,a,220,a(flip),b,3070,a(flip))]. 3074 (K(x,y) \ 1) * ((y \ z) \ z) = K(x,y) \ ((y \ z) \ z). [hyper(189,a,318,a(flip),b,3073,a(flip))]. 3075 R(K(x,y) \ y,y \ 1,y) = K(x,y) \ ((y \ 1) \ 1). [hyper(189,a,3074,a(flip),b,3072,a)]. 3076 x * (K(x,y) * (K(x,y) \ ((y \ 1) \ 1))) = (T(y,y \ 1) * x) * K(x,y). [para(3075(a,1),2026(a,1,2,2))]. 3077 (((x * y) \ x) * T(((x * y) \ x) \ 1,x)) / x = 1 / (K(y,x) \ x). [para(3057(a,1),2892(a,1,2)),flip(a)]. 3078 1 / (K(x,y) \ y) = K(x,y) / y. [para(903(a,2),3077(a,1,1)),flip(a)]. 3079 (K(x,y) / y) \ 1 = K(x,y) \ y. [para(3078(a,1),69(a,1,1))]. 3080 K(x,y) = (T(y,y \ 1) * x) \ (x * ((y \ 1) \ 1)). [hyper(432,a,3076,a),flip(a)]. 3081 K(x,(y \ 1) \ 1) = K(x,y). [hyper(189,a,527,a(flip),b,3080,a),flip(a)]. 3083 K(x,1 / y) = K(x,y \ 1). [para(69(a,1),3081(a,1,2,1)),flip(a)]. 3084 K(x,1 / (1 / y)) = K(x,y). [para(134(a,1),3081(a,1,2)),flip(a)]. 3085 (((x \ 1) \ 1) \ y) * ((x \ 1) \ 1) = y * K(((x \ 1) \ 1) \ y,x). [para(3081(a,1),213(a,1,2)),flip(a)]. 3086 ((x \ 1) \ 1) * K(y,(x \ 1) \ 1) = (x \ 1) \ K(y,x). [para(3081(a,1),2939(a,2,2))]. 3088 x * ((x \ R(x,y,z)) / R(x,y,z)) = K(R(x,y,z),x \ 1). [hyper(189,a,1327,a,b,3083,a(flip)),flip(a)]. 3089 (x * ((1 / (1 / x)) * y)) \ ((x * y) * (1 / (1 / x))) = K(x * y,x). [hyper(189,a,1116,a,b,3084,a(flip)),flip(a)]. 3090 K(x,((1 / y) \ z) / z) = K(x,((y \ 1) \ z) / z). [para(2707(a,1),3084(a,1,2))]. 3091 ((1 / x) \ y) \ (y * R(1 / (1 / x),x \ 1,(1 / x) \ y)) = K(y,((x \ 1) \ y) / y). [hyper(189,a,2593,a,b,3090,a(flip)),flip(a)]. 3092 a(R(x,y,z),1 / x,x) = K(R(x,y,z),x \ 1). [hyper(189,a,3053,a(flip),b,3088,a(flip)),flip(a)]. 3093 R(K(R(x,y,z),x \ 1),y,z) = K(R(x,y,z),R(x,y,z) \ 1). [para(3088(a,1),2152(a,1,1))]. 3094 R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = R(K(R(x,y,z),x \ 1),y,z). [para(3092(a,1),3055(a,2,1))]. 3095 K(((x \ 1) \ 1) \ y,x) = K(x \ y,x). [hyper(2549,a,3085,a),flip(a)]. 3096 K(x \ ((1 / x) \ y),x) = K(x \ ((x \ 1) \ y),x). [para(2435(a,1),3095(a,1,1))]. 3097 ((1 / x) \ y) \ ((1 / x) \ T(y,x)) = K(x \ ((x \ 1) \ y),x). [hyper(189,a,781,a,b,3096,a(flip)),flip(a)]. 3098 (x * (y * (1 / (1 / x)))) \ ((x * T(y,1 / (1 / x))) * (1 / (1 / x))) = K(x * T(y,1 / (1 / x)),x). [para(113(a,1),3089(a,1,1,2))]. 3099 R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = K(R(x,y,z),R(x,y,z) \ 1). [hyper(189,a,3093,a(flip),b,3094,a)]. 3100 (R(x,y,z) / x) \ (1 / x) = 1 / R(x,y,z). [hyper(20,a,1535,a(flip),b,3099,a)]. 3101 R(1 / (1 / x),y,z) \ 1 = 1 / R(x,y,z). [hyper(189,a,2966,a,b,3100,a(flip)),flip(a)]. 3103 1 / R(x \ 1,y,z) = R(1 / x,y,z) \ 1. [para(67(a,1),3101(a,1,1,1,2)),flip(a)]. 3104 (R(1 / x,y,z) \ 1) \ 1 = R(x \ 1,y,z). [para(3103(a,1),69(a,1,1))]. 3105 R((x \ 1) \ 1,y,z) = (R(x,y,z) \ 1) \ 1. [para(67(a,1),3104(a,1,1,1,1)),flip(a)]. 3107 R(T(x,x \ 1),y,z) = (R(x,y,z) \ 1) \ 1. [hyper(189,a,835,a,b,3105,a(flip)),flip(a)]. 3108 R(((x / y) \ 1) \ 1,y,z) * (y * z) = (y * z) * ((((y * z) \ (x * z)) \ 1) \ 1). [para(3105(a,2),2115(a,1,1))]. 3109 (x * y) * ((((x * y) \ (z * y)) \ 1) \ 1) = ((((z / x) \ 1) \ 1) * x) * y. [hyper(204,a,3108,a),flip(a)]. 3110 (x * y) * ((((x * y) \ (z * y)) \ 1) \ 1) = (x * (((x \ z) \ 1) \ 1)) * y. [para(2103(a,1),3109(a,2,1))]. 3111 ((R(x,y,z) \ 1) \ 1) \ ((x * y) * z) = ((x * y) * ((((x * y) \ y) \ 1) \ 1)) * z. [hyper(189,a,2578,a(flip),b,3110,a(flip)),flip(a)]. 3112 ((R(x,y,z) \ 1) \ 1) \ ((x * y) * z) = (K(x \ 1,x) * y) * z. [para(2833(a,1),3111(a,2,1))]. 3113 ((R(x,y,z) \ 1) \ 1) \ ((x * y) * z) != u * z | K(x \ 1,x) * y = u. [para(3112(a,2),23(a,1))]. 3114 (x * (y * (1 / (1 / x)))) \ ((x * T(y,x)) * (1 / (1 / x))) = K(x * T(y,1 / (1 / x)),x). [para(2674(a,1),3098(a,1,2,1,2))]. 3115 (x * (y * (1 / (1 / x)))) \ ((y * x) * (1 / (1 / x))) = K(x * T(y,1 / (1 / x)),x). [para(113(a,1),3114(a,1,2,1))]. 3116 (x * (y * (1 / (1 / x)))) \ ((y * x) * (1 / (1 / x))) = K(x * T(y,x),x). [para(2674(a,1),3115(a,2,1,2))]. 3117 (x * (y * (1 / (1 / x)))) \ ((y * x) * (1 / (1 / x))) = K(y * x,x). [para(113(a,1),3116(a,2,1))]. 3118 K(x * L(y,y \ 1,y),y) = K(x * y,y). [hyper(189,a,1929,a(flip),b,3117,a(flip)),flip(a)]. 3119 K(x * (1 / (1 / y)),y) = K(x * y,y). [para(472(a,1),3118(a,1,1,2))]. 3120 K((1 / (1 / x)) * (x \ y),x) = K((y / x) * x,x). [para(2691(a,2),3119(a,1,1))]. 3121 K((1 / (1 / x)) * (x \ y),x) = K(y,x). [para(19(a,1),3120(a,2,1))]. 3122 K(K(x \ 1,x) * y,x) = K(y,x). [para(2460(a,1),3121(a,1,1))]. 3123 K(x * (1 / y),y) = K(x * (y \ 1),y). [para(2446(a,1),3122(a,1,1)),flip(a)]. 3124 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(632(a,1),2695(a,1,1))]. 3125 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(632(a,1),3124(a,1,2,3))]. 3126 T(((x \ 1) \ 1) * T(y,x),T(x,x \ 1) \ 1) = T(x \ 1,x) \ R(y,x,x \ 1). [para(2603(a,1),3125(a,1,2)),flip(a)]. 3127 T(x * T(y,y \ 1),T(y,y \ 1) \ 1) = T(y \ 1,y) \ R(x,y,y \ 1). [para(2686(a,1),3126(a,1,1))]. 3128 T(x * T(y,y \ 1),T(y \ 1,y)) = T(y \ 1,y) \ R(x,y,y \ 1). [para(632(a,1),3127(a,1,2))]. 3129 T(x \ 1,x) \ R(T(x,y) \ 1,x,x \ 1) = T(T(x,y) \ x,T(x,x \ 1) \ 1). [para(2540(a,1),3127(a,1,1)),flip(a)]. 3130 T(x \ 1,x) \ R(y,x,x \ 1) = T(y * T(x,x \ 1),x \ 1). [hyper(189,a,2675,a(flip),b,3128,a(flip))]. 3131 T(x \ 1,x) \ R(y,x,x \ 1) = R((x \ 1) \ y,1 / x,x). [hyper(189,a,2703,a(flip),b,3130,a)]. 3132 T(x \ 1,x) \ R(y,x,x \ 1) = R((x \ 1) \ y,x \ 1,x). [hyper(189,a,2275,a(flip),b,3131,a)]. 3133 R((x \ 1) \ (T(x,y) \ 1),x \ 1,x) = T(T(x,y) \ x,T(x,x \ 1) \ 1). [hyper(189,a,3132,a(flip),b,3129,a(flip)),flip(a)]. 3134 R((x \ 1) \ (T(x,y) \ 1),x \ 1,x) = T(T(x,y) \ x,T(x \ 1,x)). [para(632(a,1),3133(a,2,2))]. 3135 R((x \ 1) \ (T(x,y) \ 1),x \ 1,x) = T(T(x,y) \ x,x \ 1). [hyper(189,a,2675,a(flip),b,3134,a)]. 3136 R((x \ 1) \ (T(x,y) \ 1),x \ 1,x) = T(x,y) \ x. [hyper(189,a,2856,a(flip),b,3135,a)]. 3137 R(T(x,y) \ x,x \ 1,x) = T(x,y) \ x. [para(2733(a,1),3136(a,1,1))]. 3138 L(T(x,y) \ x,x \ 1,x) = T(x,y) \ x. [hyper(189,a,2968,a(flip),b,3137,a(flip)),flip(a)]. 3139 L(T(x,y) \ x,T(x,y),y) = L((x * y) \ (y * x),x \ 1,x). [para(3138(a,1),717(a,1,1))]. 3140 L((x * y) \ (y * x),x \ 1,x) = (x * y) \ (y * x). [hyper(189,a,365,a(flip),b,3139,a(flip))]. 3141 K(x,y) = L((y * x) \ (x * y),y \ 1,y). [hyper(189,a,29,a,b,3140,a),flip(a)]. 3142 L(K(x,y),y \ 1,y) = K(x,y). [para(29(a,2),3141(a,2,1)),flip(a)]. 3143 (1 / x) * K(y,x) = K(y,x) / x. [para(3142(a,1),2945(a,1,1)),flip(a)]. 3145 R((x \ (1 / (1 / y))) * x,1 / y,y) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). [para(69(a,1),2947(a,1,1,3))]. 3146 R((x \ (1 / (1 / y))) * x,y \ 1,y) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). [para(2275(a,1),3145(a,1,1))]. 3147 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(19(a,1),3026(a,1,1,2))]. 3149 ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1) = K(x \ 1,R(x,y,z)). [para(868(a,1),3147(a,1,1)),flip(a)]. 3151 K(x \ 1,R(x,y,z)) \ (x \ 1) = (x \ R(x,y,z)) / R(x,y,z). [para(3149(a,1),3014(a,1,1))]. 3152 (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) = K(x \ 1,R(x,y,z)) \ 1. [hyper(75,a,3151,a(flip),b,2985,a)]. 3153 x * ((x \ R(x,y,z)) / R(x,y,z)) = K(x \ 1,R(x,y,z)) \ 1. [hyper(2630,a,3152,a)]. 3154 K(x \ 1,R(x,y,z)) \ 1 = K(R(x,y,z),x \ 1). [hyper(189,a,3088,a(flip),b,3153,a(flip))]. 3155 K(R(x,y,z),x \ 1) \ 1 = K(x \ 1,R(x,y,z)). [para(3154(a,1),2003(a,1,1))]. 3156 a(R(x,y,z),1 / x,x) \ 1 = K(x \ 1,R(x,y,z)). [para(3092(a,2),3155(a,1,1))]. 3157 R(T(x,x \ 1),y,z) \ R(x,y,z) = K(x \ 1,R(x,y,z)). [hyper(189,a,2923,a,b,3156,a(flip)),flip(a)]. 3158 x * T(x \ 1,R(x,y,z)) = K(x \ 1,R(x,y,z)). [hyper(2715,a,3157,a)]. 3159 R(x,y,z) \ R(1 / (1 / x),y,z) = K(x \ 1,R(x,y,z)). [hyper(189,a,2970,a,b,3158,a(flip)),flip(a)]. 3160 K(R(x,y,z) \ 1,R(x,y,z)) * (y * z) = (K(x \ 1,R(x,y,z)) * y) * z. [para(3158(a,1),2016(a,2,1,1))]. 3161 (R(1 / (1 / x),y,z) \ 1) \ (R(x,y,z) \ 1) = K(x \ 1,R(x,y,z)). [hyper(189,a,2178,a,b,3159,a(flip)),flip(a)]. 3162 (1 / R(x,y,z)) \ (R(x,y,z) \ 1) = K(x \ 1,R(x,y,z)). [para(3101(a,1),3161(a,1,1))]. 3163 K(R(x,y,z) \ 1,R(x,y,z)) = K(x \ 1,R(x,y,z)). [hyper(1201,a,3162,a)]. 3164 K(x \ 1,R(x,y,z)) != u | K(R(x,y,z) \ 1,R(x,y,z)) = u. [para(3162(a,1),1201(a,1))]. 3165 R(x,y,z) * (1 / R(x,y,z)) = K(x \ 1,R(x,y,z)) \ 1. [para(3163(a,1),1545(a,1,1)),flip(a)]. 3166 R(x,y,z) * (1 / R(x,y,z)) = K(R(x,y,z),x \ 1). [hyper(189,a,3154,a(flip),b,3165,a)]. 3167 T(R(x,y,z),R(x,y,z) \ 1) \ ((x * y) * z) = (K(x \ 1,R(x,y,z)) * y) * z. [hyper(189,a,2466,a,b,3160,a(flip)),flip(a)]. 3168 (K(x \ 1,R(x,y,z)) * y) * z = K(x \ 1,R(x,y,z)) * (y * z). [para(3163(a,1),3160(a,1,1)),flip(a)]. 3169 L(x,y,K(z \ 1,R(z,y,x))) = x. [hyper(346,a,3168,a)]. 3170 ((R(x,y,z) \ 1) \ 1) \ ((x * y) * z) = (K(x \ 1,R(x,y,z)) * y) * z. [hyper(189,a,523,a(flip),b,3167,a(flip)),flip(a)]. 3171 K(x \ 1,R(x,y,z)) * y = K(x \ 1,x) * y. [hyper(3113,a,3170,a),flip(a)]. 3172 K(x \ 1,R(x,y,z)) = K(x \ 1,x). [hyper(23,a,3171,a)]. 3174 K(R(x,y,z) \ 1,R(x,y,z)) = K(x \ 1,x). [hyper(3164,a,3172,a)]. 3176 (x \ R(x,y,z)) * K(x \ 1,x) = (x \ 1) * R(x,y,z). [para(3172(a,1),871(a,1,2))]. 3178 L(x,y,K(z \ 1,z)) = x. [para(3172(a,1),3169(a,1,3))]. 3179 L(x,y,1 / z) = L(x,y,z \ 1). [hyper(3042,a,3178,a),flip(a)]. 3181 (x * K(y,y \ 1)) \ z = x \ (K(y \ 1,y) * z). [hyper(189,a,2509,a(flip),b,3178,a(flip))]. 3182 (x * K(y \ 1,y)) \ K(y \ 1,y) = x \ 1. [hyper(189,a,2491,a(flip),b,3178,a(flip)),flip(a)]. 3183 (K(x \ 1,x) * y) \ (K(x \ 1,x) * z) = y \ z. [hyper(189,a,104,a(flip),b,3178,a(flip)),flip(a)]. 3184 (K(x \ 1,x) * y) * z = K(x \ 1,x) * (y * z). [para(3178(a,1),102(a,1,2))]. 3185 (K(x \ 1,x) * y) / z = K(x \ 1,x) * (y / z). [para(3178(a,1),398(a,1,2))]. 3186 L(x,y,K(z,z \ 1)) = x. [para(1536(a,1),3178(a,1,3))]. 3187 (x * K(y \ 1,y)) * z = K(y \ 1,y) * (x * z). [para(3178(a,1),2492(a,1,2))]. 3190 L(x,y,K(z,z \ 1)) = u \ (u * x). [hyper(189,a,16,a,b,3186,a)]. 3191 (x * K(y,y \ 1)) \ ((x * z) * K(y,y \ 1)) = z. [hyper(189,a,3043,a,b,3186,a(flip)),flip(a)]. 3192 (K(x,x \ 1) * y) \ (K(x,x \ 1) * z) = y \ z. [hyper(189,a,104,a(flip),b,3186,a(flip)),flip(a)]. 3193 (K(x,x \ 1) * y) * z = K(x,x \ 1) * (y * z). [para(3186(a,1),102(a,1,2))]. 3194 K(x,x \ 1) * (1 / y) = K(x,x \ 1) / y. [para(3186(a,1),311(a,1,2)),flip(a)]. 3195 (K(x,x \ 1) * y) / z = K(x,x \ 1) * (y / z). [para(3186(a,1),398(a,1,2))]. 3196 ((x \ 1) \ 1) / (y \ x) = K(x,x \ 1) * y. [para(3186(a,1),1558(a,1,2))]. 3197 K(x,x \ 1) * ((x \ 1) / y) = (1 / x) / y. [para(3186(a,1),1574(a,1,2)),flip(a)]. 3198 L(x,y,y \ 1) \ ((1 / y) * (x * y)) = L(K(x,y),y * x,y \ 1). [hyper(189,a,2386,a,b,3179,a(flip)),flip(a)]. 3199 L(x,y,(z \ 1) \ 1) = L(x,y,z). [para(67(a,1),3179(a,1,3)),flip(a)]. 3200 L(x,T(1 / y,z),y) = L(x,T(y \ 1,z),y). [hyper(3016,a,3199,a)]. 3201 L(x,y,K(z,z \ 1)) != u | u = x. [para(3190(a,2),237(a,1))]. 3205 (x * K(y,y \ 1)) \ 1 = x \ K(y \ 1,y). [para(2322(a,1),3182(a,1,1)),flip(a)]. 3206 K(x,x \ 1) / y != z | (1 / y) * K(x,x \ 1) = z. [para(3194(a,1),2520(a,1))]. 3207 ((x \ 1) \ 1) / (y \ x) = y * K(x,x \ 1). [hyper(189,a,2502,a(flip),b,3196,a)]. 3209 ((x \ 1) / y) * K(x,x \ 1) = (1 / x) / y. [hyper(2520,a,3197,a)]. 3210 L(T(1 / x,y) \ z,T(x \ 1,y),x) = (x * T(1 / x,y)) \ (x * z). [hyper(189,a,104,a(flip),b,3200,a(flip))]. 3211 (x / y) * K(x,x \ 1) = ((x \ 1) \ 1) / y. [para(69(a,1),3207(a,1,2)),flip(a)]. 3212 (1 / x) / (y \ (x \ 1)) = y * K(x,x \ 1). [hyper(456,a,3209,a),flip(a)]. 3213 (1 / (x \ 1)) / T(y,y \ T(x,x \ 1)) = (y \ ((x \ 1) \ 1)) * K(x \ 1,(x \ 1) \ 1). [para(540(a,1),3209(a,1,1)),flip(a)]. 3214 (x * K(y,y \ 1)) \ (1 / y) = x \ (y \ 1). [para(3212(a,1),69(a,1,1))]. 3216 (K(x,x \ 1) * y) \ z = y \ (K(x \ 1,x) * z). [para(2502(a,2),3181(a,1,1))]. 3217 x \ (K(y \ 1,y) * (x * ((1 / y) * z))) != u | L((y \ 1) * z,K(y,y \ 1),x) = u. [para(3181(a,1),2431(a,1))]. 3218 (K(x \ 1,x) * y) \ z = y \ (z * K(x,x \ 1)). [para(2481(a,1),3183(a,1,2))]. 3220 ((K(x \ 1,x) * (y * z)) * u) / (z * u) = R(K(x \ 1,x) * y,z,u). [para(3184(a,1),33(a,2,1,1)),flip(a)]. 3221 K(x \ 1,x) * ((x \ y) * z) = (((x \ 1) \ 1) \ y) * z. [para(2445(a,1),3184(a,1,1)),flip(a)]. 3222 K(x \ 1,x) * ((y / (x \ 1)) * z) = (y / (1 / x)) * z. [para(2484(a,1),3184(a,1,1)),flip(a)]. 3224 T(K(x \ 1,x) * (y / z),z) = z \ (K(x \ 1,x) * y). [para(3185(a,1),115(a,1,1))]. 3225 K(x \ 1,x) * (x / y) = (1 / (1 / x)) / y. [para(1145(a,1),3185(a,1,1)),flip(a)]. 3226 (1 / (1 / x)) / T(y,y \ x) = K(x \ 1,x) * (y \ x). [para(174(a,1),3225(a,1,2)),flip(a)]. 3227 (x * K(y \ 1,y)) * z = (x * z) * K(y \ 1,y). [hyper(189,a,2475,a(flip),b,3187,a)]. 3228 (x * (y * K(z \ 1,z))) \ (x * (K(z \ 1,z) * (y * u))) != w | L(u,y * K(z \ 1,z),x) = w. [para(3187(a,1),355(a,1,2,2))]. 3229 (K(x \ 1,x) * (y * ((1 / x) * z))) / ((x \ 1) * z) = R(y,K(x \ 1,x),(1 / x) * z). [para(3187(a,1),2408(a,1,1))]. 3232 R(T(x,y * K(z,z \ 1)),y,K(z,z \ 1)) = T(x,y). [para(3191(a,1),832(a,1,1)),flip(a)]. 3234 (x * K(y \ 1,y)) \ z = x \ (K(y,y \ 1) * z). [para(2480(a,1),3192(a,1,1)),flip(a)]. 3235 (x * y) \ (K(y,y \ 1) * z) = (x * (1 / (1 / y))) \ z. [para(2610(a,1),3192(a,1,1))]. 3236 R(K(x,x \ 1),y,z) = K(x,x \ 1). [hyper(376,a,3193,a)]. 3237 x \ (K(y,y \ 1) * (z * x)) = T(K(y,y \ 1) * z,x). [hyper(147,a,3193,a,b,17,a),flip(a)]. 3239 (x * K(y,y \ 1)) * z = K(y,y \ 1) * (x * z). [para(2502(a,1),3193(a,1,1))]. 3240 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = K(x,x \ 1). [hyper(189,a,2239,a,b,3236,a(flip)),flip(a)]. 3241 (x * K(y,y \ 1)) / z = K(y,y \ 1) * (x / z). [para(2502(a,1),3195(a,1,1))]. 3242 R(K(x,x \ 1) * (y / z),z,K(x \ 1,x)) = y / (z * K(x \ 1,x)). [para(3195(a,1),2503(a,1,1))]. 3244 (x * K(y \ 1,y)) \ (z * K(y \ 1,y)) = x \ z. [hyper(75,a,91,a(flip),b,3227,a)]. 3245 (x * K(y \ 1,y)) * z != u | K(y \ 1,y) * (x * z) = u. [para(3227(a,2),2477(a,1))]. 3246 (x * K(y \ 1,y)) \ 1 = x \ K(y,y \ 1). [para(15(a,1),3234(a,2,2))]. 3247 (K(x,x \ 1) * (y * z)) / (K(x,x \ 1) * z) = R(y,K(x,x \ 1),z). [hyper(76,a,3239,a(flip),b,110,a)]. 3248 K(x,x \ 1) * ((y * z) / (K(x,x \ 1) * z)) = R(y,z,T(K(x,x \ 1),z)). [hyper(189,a,2524,a(flip),b,3241,a(flip))]. 3249 T(x,x \ y) = ((x \ y) * K(z \ 1,z)) \ (y * K(z \ 1,z)). [hyper(189,a,114,a,b,3244,a),flip(a)]. 3250 (1 / x) * R(x,y,z) = x \ R(x,y,z). [hyper(21,a,2489,a,b,3176,a),flip(a)]. 3252 R(x,y,z) / x = x \ R(x,y,z). [hyper(881,a,3250,a)]. 3253 (x \ R(x,y,z)) * x = R(x,y,z). [para(3250(a,1),869(a,1,1))]. 3254 R(x \ R(x,y,z),x,y * z) = ((x * y) * z) / (x * (y * z)). [para(3252(a,1),396(a,1,1))]. 3255 T(x,x \ R(x,y,z)) = x. [hyper(227,a,3253,a)]. 3256 (x / (1 / y)) * K(y,y \ 1) != z | x / (y \ 1) = z. [para(3222(a,1),2495(a,1)),flip(b)]. 3257 x * y != z | R(x,y,y \ 1) / (y \ 1) = z. [para(2339(a,1),3256(a,1))]. 3258 T((x \ 1) * (x * ((y * (x \ z)) / y)),y) = y \ (K(x \ 1,x) * (y * ((1 / x) * z))). [para(2419(a,1),3224(a,1,1))]. 3259 (x * (1 / (1 / y))) \ (y * z) = (x * y) \ (((y \ 1) \ 1) * z). [para(2365(a,1),3235(a,1,2)),flip(a)]. 3260 T(x,y) \ (K(z,z \ 1) * (x * y)) = T(K(z,z \ 1) * y,T(x,y)). [para(113(a,1),3237(a,1,2,2))]. 3263 (K(x \ 1,x) * ((y * z) * u)) / (z * u) = R(K(x \ 1,x) * y,z,u). [para(3184(a,1),3220(a,1,1))]. 3264 K(x,x \ 1) * ((y * z) / (K(x,x \ 1) * z)) = R(y,K(x,x \ 1),z). [hyper(189,a,3195,a(flip),b,3247,a(flip)),flip(a)]. 3265 K(x \ 1,x) * (((y * z) * u) / (z * u)) = R(K(x \ 1,x) * y,z,u). [hyper(189,a,3185,a(flip),b,3263,a(flip)),flip(a)]. 3266 R(K(x \ 1,x) * y,z,u) = K(x \ 1,x) * R(y,z,u). [para(33(a,2),3265(a,1,2)),flip(a)]. 3267 R(K(x \ 1,x) * (y * T(x,x \ 1)),z,u) = (x \ R(x * y,z,u)) * x. [hyper(189,a,2946,a(flip),b,3266,a)]. 3268 (x \ R(x * y,z,u)) * x = R(y * x,z,u). [para(2482(a,1),3267(a,1,1)),flip(a)]. 3269 R(x * y,z,u) / y = y \ R(y * x,z,u). [hyper(88,a,3268,a)]. 3270 R((x \ y) * x,z,u) = (x \ R(y,z,u)) * x. [para(17(a,1),3268(a,1,1,2,1)),flip(a)]. 3271 x \ R(x * (y / x),z,u) = R(y,z,u) / x. [para(19(a,1),3269(a,1,1,1)),flip(a)]. 3272 R((x \ (y / z)) * x,z,z \ 1) = (x \ (y * (z \ 1))) * x. [para(445(a,1),3270(a,2,1,2))]. 3273 R((x \ (y / (1 / z))) * x,z \ 1,z) = (x \ (y * z)) * x. [para(2276(a,1),3270(a,2,1,2))]. 3274 R(x * (y / x),z,u) = x * (R(y,z,u) / x). [para(3271(a,1),17(a,1,2)),flip(a)]. 3275 R((x \ 1) * (y / (x \ 1)),x,x \ 1) = (x \ 1) * (y * x). [para(373(a,1),3274(a,2,2))]. 3276 R(x * ((y / z) / x),z,y \ u) * (z * (y \ u)) = (x * ((u / (z * (y \ u))) / x)) * (z * (y \ u)). [para(3274(a,2),2137(a,1,1))]. 3277 (x \ (x * y)) * x = (x * (y \ T(y,x))) * y. [hyper(189,a,3028,a(flip),b,3273,a(flip))]. 3278 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ (1 * x)) * y) / ((1 / x) \ 1). [para(3273(a,1),3146(a,1,1)),flip(a)]. 3279 (x * (y \ T(y,x))) * y = y * x. [para(16(a,1),3277(a,1,1)),flip(a)]. 3280 x * (y \ T(y,x)) = (y * x) / y. [hyper(88,a,3279,a),flip(a)]. 3281 (x \ y) * (x \ T(x,x \ y)) = y / x. [hyper(76,a,17,a(flip),b,3279,a),flip(a)]. 3282 x \ ((y * x) / y) = y \ T(y,x). [hyper(80,a,3280,a)]. 3283 (x / y) \ T(x / y,y) = y \ (x / (x / y)). [hyper(75,a,185,a(flip),b,3280,a),flip(a)]. 3284 T(x,y) \ x = y \ T(y,T(x,y)). [hyper(75,a,143,a(flip),b,3280,a)]. 3285 x * ((y * (x \ 1)) / y) = y \ T(y,x \ 1). [hyper(20,a,2792,a,b,3280,a),flip(a)]. 3286 ((x * y) / x) / y = x \ T(x,y). [hyper(20,a,2787,a,b,3280,a),flip(a)]. 3287 (x * y) \ ((x * y) / x) = L(x \ 1,T(x,y),y). [para(3280(a,1),775(a,1,2))]. 3288 ((x \ 1) * y) / (x \ 1) = y * (x * T(x \ 1,y)). [para(2638(a,1),3280(a,1,2)),flip(a)]. 3289 ((x * y) / x) * (y \ 1) = x \ T(x,y). [para(3280(a,1),2835(a,1,1))]. 3290 ((x * y) / x) \ y = T(x,y) \ x. [para(3280(a,1),2897(a,1,1))]. 3291 (T(x,y) \ x) * ((x * y) / x) = y. [para(3280(a,1),2982(a,1,2))]. 3292 L(x \ T(x,y),y,x) = K(x,(x * y) / x). [para(3282(a,1),363(a,1,1))]. 3293 T(x,R(y,y \ 1,x)) = (x \ T(x,y)) * x. [para(3282(a,1),1297(a,1,1)),flip(a)]. 3294 R(T(x,y) \ x,y,z) = (T(y,T(x,y)) * z) / (y * z). [para(3284(a,2),2804(a,1,1))]. 3295 R(x \ T(x,y),y,z) \ (((x * y) / x) * z) = y * z. [para(3286(a,1),371(a,1,1,1))]. 3296 R(x \ T(x,y),y,((x * y) / x) \ z) \ z = y * (((x * y) / x) \ z). [para(3286(a,1),395(a,1,1,1))]. 3297 T(x,x \ y) \ x = (y / x) \ (x \ y). [para(17(a,1),3290(a,1,1,1)),flip(a)]. 3298 T(x,T(y,x)) \ x = y \ T(y,x). [para(143(a,1),3290(a,1,1)),flip(a)]. 3299 ((x * y) / x) * (y \ ((T(x,y) \ x) * z)) = L(z,((x * y) / x) \ y,(x * y) / x). [para(3290(a,1),1112(a,1,2,2,1))]. 3300 L(x,y,y \ 1) \ ((1 / y) * (x * y)) = T(y,(1 / y) * (x * y)) \ y. [hyper(3046,a,3291,a)]. 3301 T(x,T(y,x)) * (y \ T(y,x)) = x. [para(3298(a,1),17(a,1,2))]. 3302 (x \ T(x,y)) \ y = T(y,T(x,y)). [para(3298(a,1),2746(a,1,1))]. 3303 (x * (T(x,T(y,x)) \ x)) * y = y * x. [para(3298(a,2),3279(a,1,1,2))]. 3304 (x * y) / x = y * (T(y,T(x,y)) \ y). [para(3298(a,2),3280(a,1,2)),flip(a)]. 3305 L(x,y \ T(y,x),y) = x. [hyper(189,a,2978,a(flip),b,3301,a(flip)),flip(a)]. 3307 T(x,y) \ (y * (x \ T(x,y))) = x \ y. [hyper(75,a,3305,a(flip),b,2785,a),flip(a)]. 3308 (x * T(x \ 1,y)) \ y = T(y,T(x \ 1,y)). [para(2638(a,1),3302(a,1,1))]. 3309 (x \ y) * (x \ ((x \ y) \ y)) = y / x. [para(114(a,1),3281(a,1,2,2))]. 3310 (x \ T(x,y)) \ (((x * y) / x) * ((y \ 1) * z)) != u | L(z,y \ 1,(x * y) / x) = u. [para(3289(a,1),355(a,1,1))]. 3311 T(x * (T(x,T(y,x)) \ x),y) = x. [hyper(147,a,3303,a,b,xx)]. 3313 T(x,y) \ ((x * y) / x) = x \ y. [para(3280(a,1),3307(a,1,2))]. 3314 T(x / y,T(y,x)) = y \ x. [hyper(1469,a,3313,a)]. 3315 T(x,y) * (x \ y) = (x * y) / x. [para(3313(a,1),17(a,1,2))]. 3316 T(x,T(x \ y,y)) = (x \ y) \ y. [para(67(a,1),3314(a,1,1))]. 3317 T(x \ y,T(x,y)) = T(x \ y,x). [para(3314(a,1),161(a,1,1)),flip(a)]. 3318 x \ (y * T(y \ x,T(y,x))) = K(y \ x,T(y,x)). [para(3314(a,1),1628(a,1,1)),flip(a)]. 3319 T(x,x / (x / y)) = T(x,y). [hyper(21,a,1597,a,b,3315,a),flip(a)]. 3320 T(x,(y \ x) * y) * K(y \ x,y) = (x * ((y \ x) * y)) / x. [para(96(a,1),3315(a,1,2))]. 3321 ((x * y) / x) \ (T(x,y) * ((x \ y) * z)) != u | L(z,x \ y,T(x,y)) = u. [para(3315(a,1),355(a,1,1))]. 3322 T(x,y) * y = x * ((x * y) / x). [para(3315(a,1),974(a,1,2)),flip(a)]. 3323 L(((x * y) / x) / y,y,x) = K(T(x,y),y). [para(3315(a,1),2771(a,1,1,1))]. 3324 T(x,x / (1 / y)) = T(x,x * y). [hyper(189,a,1602,a(flip),b,3319,a(flip)),flip(a)]. 3325 (x / T(y,x)) * y = T(x,T(y,x)). [hyper(189,a,1057,a(flip),b,3319,a(flip)),flip(a)]. 3326 (x / y) \ T(x,y) = (x * y) / x. [hyper(75,a,3319,a(flip),b,1042,a)]. 3327 T(x,x / y) = T(x,y \ x). [para(67(a,1),3319(a,1,2,2))]. 3328 T(x,(y \ x) \ x) = T(x,y). [para(130(a,1),3319(a,1,2)),flip(a)]. 3329 T(x,T(y,x)) * (y * x) = x * (x * y). [para(3319(a,1),1500(a,1,1))]. 3330 x * ((y * (x \ y)) / y) = T(y,x \ y). [hyper(1041,a,3327,a)]. 3331 T(x,T(y,y \ x)) = T(x,y). [para(114(a,2),3328(a,1,2))]. 3332 T(x,T(x \ y,y)) = T(x,x \ y). [hyper(189,a,114,a,b,3316,a)]. 3333 T(x,y) * T(x \ y,x) = (x \ y) * T(x,y). [para(3317(a,1),113(a,1,2))]. 3335 x \ (y * T(y \ x,T(y,x))) != z | K(y \ x,y) = z. [para(3317(a,2),575(a,1,2,2))]. 3336 T(x,x \ y) * (x \ y) = x * (y / x). [para(17(a,1),3322(a,2,2,1))]. 3337 R(T(x,x * y),y,x) = (x / T(y,x)) * y. [para(3324(a,1),1513(a,1,1))]. 3338 ((x * y) * y) / (x * y) = x \ T(x * y,y). [para(18(a,1),3326(a,1,1)),flip(a)]. 3339 (x \ y) \ (y / x) != z | x \ ((x \ y) \ y) = z. [para(3309(a,1),237(a,1,2)),flip(b)]. 3341 T(x,y \ x) != z | T(x,x / y) = z. [para(3330(a,1),1044(a,1))]. 3342 T(x,x \ y) * y = x * (x * (y / x)). [para(3336(a,1),974(a,1,2)),flip(a)]. 3343 (x * (x * (T(y,z) / x))) / y = (T(x,x \ T(y,z)) / y) * T(y,z). [hyper(76,a,3342,a(flip),b,1461,a)]. 3344 K(x,y) = L(x \ T(x,T(y,x)),T(y,x),x). [para(143(a,1),3292(a,2,2)),flip(a)]. 3345 T(x,R(y,y \ 1,x)) = T(x,y). [hyper(189,a,2799,a(flip),b,3293,a)]. 3346 T(x,(y \ x) \ 1) = x * K(x,y / x). [hyper(2705,a,3345,a),flip(a)]. 3348 T(x,R(y \ 1,y,x)) = T(x,y \ 1). [para(2573(a,1),3345(a,1,2))]. 3349 T(x,(y \ x) \ 1) != z | x * K(x,y / x) = z. [para(3345(a,1),2705(a,1))]. 3350 T(x,x / (x * y)) = T(x,y \ 1). [hyper(189,a,2829,a(flip),b,3348,a(flip)),flip(a)]. 3351 T(x,x / (y * x)) = T(x,y \ 1). [hyper(189,a,2678,a(flip),b,3348,a(flip)),flip(a)]. 3352 (x * ((x / y) / x)) * y = T(x,y \ 1). [hyper(1793,a,3350,a)]. 3355 K(x,(x / y) / x) = x \ T(x,y \ 1). [hyper(75,a,3350,a(flip),b,1404,a),flip(a)]. 3356 T(x * ((x / y) / x),y) = y \ T(x,y \ 1). [para(3350(a,1),1790(a,1,2)),flip(a)]. 3357 x * (y * ((x \ y) / y)) = T(y,x \ 1). [hyper(1070,a,3351,a)]. 3358 x \ T(y,x \ 1) = y * ((x \ y) / y). [hyper(75,a,3351,a(flip),b,1069,a)]. 3359 T(x,T(y,y \ x) \ 1) = x * K(x,(y \ x) / x). [para(114(a,2),3346(a,1,2,1))]. 3360 (x \ 1) \ T(y,x) = y * (((x \ 1) \ y) / y). [hyper(75,a,2671,a(flip),b,3357,a)]. 3361 (x * y) * ((x \ (x * y)) / (x * y)) = ((x \ 1) \ y) * (x \ 1). [hyper(772,a,3358,a),flip(a)]. 3362 x \ (y \ T(x,y \ 1)) = (y \ x) / x. [hyper(75,a,3358,a,b,xx)]. 3363 (x / y) \ T(x,(x / y) \ 1) = x * (y / x). [para(69(a,1),3358(a,2,2,1))]. 3364 x * R(1 / y,y,y \ x) = y \ T(x,y \ 1). [para(286(a,2),3358(a,2,2)),flip(a)]. 3368 L(x \ T(x,y),y,x) = K(T(x,y),y). [para(3286(a,1),3323(a,1,1))]. 3369 K(T(x,y),y) = K(x,(x * y) / x). [hyper(189,a,3292,a(flip),b,3368,a(flip))]. 3370 R(T(x,x * y),y,x) = T(x,T(y,x)). [hyper(189,a,3325,a(flip),b,3337,a)]. 3371 L(R(x,y,x),y,x) * y = y * T(x,T(y,x)). [para(3370(a,1),834(a,1,2)),flip(a)]. 3372 (x / y) \ (y \ x) = y \ (x / (x / y)). [para(115(a,1),3283(a,1,2))]. 3373 T(x,x \ y) \ x = x \ (y / (y / x)). [hyper(189,a,3297,a,b,3372,a(flip)),flip(a)]. 3374 x / (x / y) = y * (T(y,y \ x) \ y). [para(3373(a,2),17(a,1,2)),flip(a)]. 3375 (x * y) / ((x * y) / x) = x * (T(x,y) \ x). [para(16(a,1),3374(a,2,2,1,2))]. 3376 (x * ((y \ x) / x)) / (y \ x) = x \ T(x,y \ 1). [hyper(189,a,885,a,b,3285,a(flip)),flip(a)]. 3377 T(x \ T(x,y \ 1),z) = K(x,(x / T(y,z)) / x). [para(3285(a,1),1799(a,1,1))]. 3378 K(x,(x / y) / x) * (y * z) = y * ((x \ T(x,y \ 1)) * z). [para(3285(a,1),1812(a,2,2,1))]. 3379 (x * ((y / (z * (x \ y))) / x)) * (z * (x \ y)) = x * ((x \ T(x,z \ 1)) * (x \ y)). [para(3285(a,1),1801(a,2,2,1))]. 3380 R(x \ T(x,y \ 1),z,u) = K(x,(x / R(y,z,u)) / x). [para(3285(a,1),2149(a,1,1))]. 3381 T(x,T(L(y \ 1,y,x) \ 1,x)) = K(y,x) \ x. [para(906(a,2),3308(a,1,1)),flip(a)]. 3382 T(x \ T(x * y,y),x) = R(y,x,y). [para(3338(a,1),603(a,2,1)),flip(a)]. 3383 (x \ T(x * y,y)) * x = x * R(y,x,y). [para(3338(a,1),612(a,1,1))]. 3384 (x * R(y,x,y)) \ T(x * y,y) = K(x,x \ T(x * y,y)). [para(3383(a,1),97(a,1,1))]. 3385 T(((x / y) / x) * ((x \ 1) \ 1),y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x. [para(3356(a,1),2321(a,2,1,2))]. 3386 (((x / y) \ 1) \ y) * ((x / y) \ 1) = x * (y / x). [hyper(941,a,3363,a)]. 3387 T((x * y) / x,T(x,y)) = L(R(y,x,y),x,y). [hyper(21,a,325,a,b,3371,a),flip(a)]. 3388 x / (y \ ((y * x) / y)) = y * (T(y,x) \ y). [hyper(189,a,1049,a(flip),b,3375,a(flip)),flip(a)]. 3389 (x * y) / ((x * y) / x) != x * z | T(x,y) \ x = z. [para(3375(a,2),22(a,1))]. 3390 x * (((x * y) / ((x * y) / x)) \ z) = (x * (T(x,y) \ x)) \ (x * z). [para(3375(a,1),1115(a,1,1)),flip(a)]. 3391 T(x \ T(x * y,y),T(x * y,y)) = L(R(y,x * y,y),x * y,y). [para(3338(a,1),3387(a,1,1))]. 3392 ((x * y) / x) * T(((x * y) / x) \ x,y) = x * K(y \ (x * (T(x,y) \ x)),y). [para(3388(a,1),1074(a,2,2,1,2))]. 3393 x * R(1 / (1 / y),1 / y,(1 / y) \ x) = (1 / y) \ T(x,y). [para(69(a,1),3364(a,2,2,2))]. 3394 T(x,((x * y) \ x) \ K(y,x)) = K(y,x) \ x. [para(905(a,1),3381(a,1,2))]. 3395 ((L(x \ 1,x,y) \ 1) * y) / (L(x \ 1,x,y) \ 1) = y * K(x,y). [para(906(a,2),3288(a,2,2))]. 3396 T(x,T(y,y \ x) \ 1) != x * z | K(x,(y \ x) / x) = z. [para(3359(a,2),22(a,1))]. 3397 x \ T(x,T(y,z) \ 1) = T(x \ T(x,y \ 1),z). [hyper(189,a,3355,a(flip),b,3377,a),flip(a)]. 3398 x \ (y * (x / y)) != z | K(((y / x) \ 1) \ x,(y / x) \ 1) = z. [para(3386(a,1),336(a,1,2))]. 3399 T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = x \ T(x,R(z \ 1,z,y) \ 1). [para(2822(a,1),3397(a,1,2,2,1)),flip(a)]. 3400 L((T(x,T(y,x)) * z) / (x * z),T(y,x),x) = R((y * x) \ (x * y),x,z). [para(3294(a,1),716(a,1,1))]. 3401 K(x \ y,T(x,y)) = K(x \ y,x). [hyper(3335,a,3318,a),flip(a)]. 3402 K(x \ (x * y),x) = K(y,T(x,x * y)). [hyper(189,a,1215,a(flip),b,3401,a(flip))]. 3403 K(x,T(y,y * x)) = K(x,y). [hyper(189,a,1215,a(flip),b,3402,a(flip))]. 3405 R(x \ T(x,y \ 1),z,u) = x \ T(x,R(y,z,u) \ 1). [hyper(189,a,3355,a(flip),b,3380,a)]. 3406 ((x \ 1) * (y * x)) / (x \ 1) != z * x | (x \ 1) * (y / (x \ 1)) = z. [para(3275(a,1),453(a,1,1)),flip(b)]. 3407 (x * ((y \ x) * y)) / x != z * K(y \ x,y) | T(x,(y \ x) * y) = z. [para(3320(a,1),23(a,1))]. 3408 ((x \ 1) \ y) * (x \ 1) = (x * y) * (y / (x * y)). [para(16(a,1),3361(a,1,2,1)),flip(a)]. 3409 ((x \ 1) * y) * (y / ((x \ 1) * y)) = (x \ y) * x. [hyper(189,a,2538,a(flip),b,3408,a(flip))]. 3410 ((x \ 1) * y) * R(x,x \ 1,y) = (x \ y) * x. [para(139(a,2),3409(a,1,2))]. 3411 ((((x \ 1) * y) * x) / ((x \ 1) * y)) * (x \ 1) = ((x \ y) * x) / y. [hyper(76,a,3410,a(flip),b,669,a),flip(a)]. 3412 (x \ T(x,y \ 1)) * (y * z) = y * ((x \ T(x,y \ 1)) * z). [para(3355(a,1),3378(a,1,1))]. 3413 x * R(1 / (1 / y),y \ 1,(1 / y) \ x) = (1 / y) \ T(x,y). [para(2591(a,1),3393(a,1,2))]. 3414 K(x,((y \ 1) \ x) / x) = ((1 / y) \ x) \ ((1 / y) \ T(x,y)). [para(3413(a,1),3091(a,1,2)),flip(a)]. 3415 K(x \ ((x \ 1) \ y),x) = K(y,((x \ 1) \ y) / y). [hyper(189,a,3097,a(flip),b,3414,a),flip(a)]. 3416 (x * (T(x,y) \ x)) \ (x * z) = x * ((x * (T(x,y) \ x)) \ z). [para(3375(a,1),3390(a,1,2,1)),flip(a)]. 3417 x * ((x * (T(x,y) \ x)) \ ((T(x,y) \ x) * z)) = L(z,T(x,y) \ x,x). [hyper(355,a,3416,a),flip(a)]. 3418 T(K(x,y),x * K(z,x)) = K(x,y). [para(3395(a,1),2665(a,1,2))]. 3419 T(x * K(y,x),K(x,z)) = x * K(y,x). [hyper(38,a,3418,a)]. 3420 ((x \ 1) * y) \ T((x \ 1) * y,x) = ((x \ y) * x) / y. [hyper(189,a,3289,a(flip),b,3411,a(flip)),flip(a)]. 3421 L(K(x \ y,x),y,x \ 1) = ((x \ y) * x) / y. [hyper(189,a,1905,a(flip),b,3420,a(flip)),flip(a)]. 3422 ((x \ (x * y)) * x) / (x * y) = L(K(y,x),x * y,x \ 1). [para(16(a,1),3421(a,1,1,1)),flip(a)]. 3423 L(K(x,y),y * x,y \ 1) = (x * y) / (y * x). [para(16(a,1),3422(a,1,1,1)),flip(a)]. 3424 L(K(x,y),y * x,y \ 1) = T(y,(1 / y) * (x * y)) \ y. [hyper(189,a,3198,a(flip),b,3300,a(flip)),flip(a)]. 3425 L(K(x,y),y * x,y \ 1) = T(y,(y \ 1) * (x * y)) \ y. [para(2393(a,1),3424(a,2,1))]. 3426 T(x,(x \ 1) * (y * x)) \ x = (y * x) / (x * y). [hyper(189,a,3423,a(flip),b,3425,a(flip))]. 3427 x * (((y * x) / (x * y)) \ 1) = T(x,(x \ 1) * (y * x)). [para(3426(a,1),2848(a,1,2,1))]. 3428 x * L(x \ y,x,T(x,z) \ x) = L(y,T(x,z) \ x,x). [para(2780(a,1),3417(a,1,2))]. 3429 L((T(x,T(y,x)) * z) / (x * z),T(y,x),x) = R(K(x,y),x,z). [para(29(a,2),3400(a,2,1))]. 3430 R(x,y,T(K(z,z \ 1),y)) = R(x,K(z,z \ 1),y). [hyper(189,a,3264,a(flip),b,3248,a(flip))]. 3431 R(x,K(y,y \ 1),z) = R(x,z,K(y,y \ 1)). [para(2514(a,1),3430(a,1,3)),flip(a)]. 3432 R(x,y,K(z \ 1,(z \ 1) \ 1)) = R(x,K(z \ 1,z),y). [para(1538(a,1),3431(a,1,2)),flip(a)]. 3434 R(x,K(y \ 1,y),z) = R(x,z,K(y \ 1,y)). [para(1538(a,1),3432(a,1,3)),flip(a)]. 3435 T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = R(x \ T(x,(z \ 1) \ 1),z,y). [hyper(189,a,3405,a,b,3399,a)]. 3436 T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = R(x \ T(x,z),z,y). [para(2671(a,1),3435(a,2,1,2))]. 3437 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ x) * y) / ((1 / x) \ 1). [para(14(a,1),3278(a,2,1,1,2))]. 3438 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ x) * y) / x. [para(69(a,1),3437(a,2,2))]. 3439 x * K(y \ (x * (T(x,y) \ x)),y) = (x * (y * T(y \ x,y))) / x. [hyper(189,a,1580,a(flip),b,3392,a(flip))]. 3440 x * K(y \ (x * (T(x,y) \ x)),y) = (x * ((y \ x) * y)) / x. [para(113(a,1),3439(a,2,1,2))]. 3441 ((x * y) / x) * (y \ ((T(x,y) \ x) * z)) = L(z,T(x,y) \ x,(x * y) / x). [para(3290(a,1),3299(a,2,2))]. 3442 T((x \ 1) * (x * ((y * (x \ z)) / y)),y) != u | L((x \ 1) * z,K(x,x \ 1),y) = u. [para(3258(a,2),3217(a,1))]. 3443 T((x / y) * K(x,x \ 1),y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x. [para(2257(a,1),3385(a,1,1,1))]. 3444 T(((x \ 1) \ 1) / y,y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x. [para(3211(a,1),3443(a,1,1,1))]. 3445 (x \ ((y \ 1) \ 1)) * K(y \ 1,y) = (y \ (x \ T(y,x \ 1))) * y. [para(115(a,1),3444(a,1,1))]. 3446 (x \ ((y \ 1) \ 1)) * K(y \ 1,y) = ((x \ y) / y) * y. [para(3362(a,1),3445(a,2,1))]. 3447 (x \ ((y \ 1) \ 1)) * K(y \ 1,y) = x \ y. [hyper(189,a,19,a(flip),b,3446,a)]. 3448 (x \ y) * K(y,y \ 1) = x \ ((y \ 1) \ 1). [hyper(21,a,2325,a(flip),b,3446,a),flip(a)]. 3450 K(x \ 1,x) * (y \ ((x \ 1) \ 1)) = y \ x. [hyper(2477,a,3447,a)]. 3452 (x \ ((y \ 1) \ 1)) * (y \ 1) = (x \ y) * (1 / y). [para(3447(a,1),2284(a,1,1)),flip(a)]. 3453 (x \ y) * K(y,y \ 1) = x \ T(y,y \ 1). [hyper(189,a,318,a,b,3448,a)]. 3454 K(x,x \ 1) * (y \ x) = y \ T(x,x \ 1). [hyper(2523,a,3453,a)]. 3455 K(x \ 1,x) * ((y * ((1 / x) * z)) / ((x \ 1) * z)) = R(y,K(x \ 1,x),(1 / x) * z). [hyper(189,a,3185,a(flip),b,3229,a(flip)),flip(a)]. 3456 (1 / (x \ 1)) / T(y,y \ T(x,x \ 1)) = (y \ ((x \ 1) \ 1)) * K(x \ 1,x). [para(1538(a,1),3213(a,2,2))]. 3457 x / T(y,y \ T(x,x \ 1)) = (y \ ((x \ 1) \ 1)) * K(x \ 1,x). [para(67(a,1),3456(a,1,1))]. 3458 x / T(y,y \ T(x,x \ 1)) = y \ x. [hyper(189,a,3447,a(flip),b,3457,a)]. 3459 (1 / x) / T(y,y \ (x \ 1)) = y \ (1 / x). [para(497(a,1),3458(a,1,2,2,2))]. 3460 (1 / (1 / x)) / T(y,y \ x) = y \ (1 / (1 / x)). [para(228(a,1),3458(a,1,2,2,2))]. 3461 K(x \ 1,x) * (y \ x) = y \ (1 / (1 / x)). [hyper(189,a,3226,a(flip),b,3460,a(flip)),flip(a)]. 3462 (x \ (1 / (1 / y))) * K(y,y \ 1) = x \ y. [hyper(2494,a,3461,a)]. 3463 K(x,x \ 1) * ((y \ (1 / (1 / x))) * z) = (y \ x) * z. [para(3462(a,1),3239(a,1,1)),flip(a)]. 3464 x * K(y \ (1 / (1 / x)),y) = (y \ x) * y. [hyper(189,a,2413,a(flip),b,3463,a(flip)),flip(a)]. 3465 ((x \ y) * x) * (y \ 1) = ((x \ y) * x) / y. [para(3464(a,1),3438(a,1,1))]. 3466 (x * ((y / (z * (u \ y))) / x)) * (z * (u \ y)) = ((x * ((u / z) / x)) * z) * (u \ y). [hyper(204,a,3276,a),flip(a)]. 3467 ((x * ((x / y) / x)) * y) * (x \ z) = x * ((x \ T(x,y \ 1)) * (x \ z)). [hyper(189,a,3379,a(flip),b,3466,a(flip))]. 3468 x * ((x \ T(x,y \ 1)) * (x \ z)) = T(x,y \ 1) * (x \ z). [para(3352(a,1),3467(a,1,1)),flip(a)]. 3469 T(x,(y \ 1) \ 1) * (x \ z) = x * ((x \ T(x,y)) * (x \ z)). [para(2671(a,1),3468(a,1,2,1,2)),flip(a)]. 3470 x * ((x \ T(x,y)) * (x \ z)) = T(x,y) * (x \ z). [para(2671(a,1),3469(a,1,1)),flip(a)]. 3471 T(x,y) * (x \ (x * z)) = x * ((x \ T(x,y)) * z). [para(16(a,1),3470(a,1,2,2)),flip(a)]. 3472 x * ((x \ T(x,y)) * z) = T(x,y) * z. [para(16(a,1),3471(a,1,2)),flip(a)]. 3474 L(x,y \ T(y,z),y) = x. [hyper(404,a,3472,a)]. 3475 (T(x,y) * z) / ((x \ T(x,y)) * z) = x. [hyper(88,a,3472,a)]. 3476 (x \ T(x,y)) * z = T(x,y) * (x \ z). [hyper(20,a,974,a,b,3472,a)]. 3477 (x \ T(x,y)) * (x * z) = T(x,y) * z. [hyper(20,a,979,a(flip),b,3472,a)]. 3479 x * ((T(y,x) \ y) * z) = T(x,T(y,x)) * z. [para(3284(a,2),3472(a,1,2,1))]. 3483 L(x,T(y,T(z,y)) \ y,z) = x. [para(3298(a,2),3474(a,1,2))]. 3484 L(x,T(y,z) \ y,(y * z) / y) = x. [para(142(a,1),3483(a,1,2,1,2))]. 3485 x \ ((T(y,x) \ y) * z) = ((y * x) / y) \ z. [hyper(75,a,3484,a(flip),b,3441,a),flip(a)]. 3486 R(x,x \ T(x,y),z) = x. [hyper(588,a,3475,a)]. 3487 R(x,x \ (K(y,x) \ x),z) = x. [para(3381(a,1),3486(a,1,2,2))]. 3488 R(x,K(y,x) \ 1,z) = x. [para(3063(a,1),3487(a,1,2))]. 3489 x \ ((K(y,x) \ x) * z) = (K(y,x) \ 1) * z. [para(3488(a,1),3067(a,1,1))]. 3490 T(x,y \ 1) * (x \ (y * z)) = y * ((x \ T(x,y \ 1)) * z). [hyper(189,a,3412,a(flip),b,3476,a(flip))]. 3491 T(x,y) * (x \ (z * K(x \ 1,x))) = ((x \ 1) * T(x,y)) * z. [hyper(189,a,3040,a(flip),b,3476,a(flip))]. 3493 (T(x,y) * z) / (x * z) = x \ T(x,y). [hyper(88,a,3477,a)]. 3494 (x \ T(x,y)) \ (T(x,y) * z) != u | x * z = u. [para(3477(a,1),237(a,1,2)),flip(b)]. 3495 R(x \ T(x,y),x,z) = x \ T(x,y). [hyper(2814,a,3493,a)]. 3496 R(K(x,y),x,z) = L(x \ T(x,T(y,x)),T(y,x),x). [para(3493(a,1),3429(a,1,1)),flip(a)]. 3498 (x * T(x \ y,z)) / y = (y / x) \ T(y / x,z). [hyper(189,a,2898,a(flip),b,3495,a(flip)),flip(a)]. 3500 (T(x,y) \ x) * (x * y) = y * x. [hyper(20,a,3329,a(flip),b,3479,a)]. 3501 K(x,y) = T(T(y,x) \ y,y * x). [hyper(147,a,3500,a,b,95,a),flip(a)]. 3502 (x * y) / (y * x) = T(y,x) \ y. [hyper(88,a,3500,a)]. 3504 T(x / y,y) \ (x / y) = (y * (x / y)) / x. [para(19(a,1),3502(a,1,2)),flip(a)]. 3505 T(x,y) = x * (((y * x) / (x * y)) \ 1). [para(3502(a,2),2848(a,1,2,1)),flip(a)]. 3506 T(x,(x \ 1) * (y * x)) = T(x,y). [hyper(189,a,3427,a(flip),b,3505,a),flip(a)]. 3507 T(x,y * x) = T(x,x * y). [para(482(a,1),3506(a,1,2))]. 3508 T(x,(x \ y) * x) = T(x,y). [para(486(a,1),3506(a,1,2))]. 3509 T(x,T((x \ 1) * y,x)) = T(x,x \ y). [para(1903(a,1),3506(a,1,2))]. 3510 T(x,x * (y / x)) = T(x,y). [para(19(a,1),3507(a,1,2)),flip(a)]. 3511 T(T(x,x * y),z) = T(T(x,z),y * x). [para(3507(a,1),41(a,1,1))]. 3512 x * T(y,x * y) = L(y,x,y) * x. [para(3507(a,2),559(a,1,2))]. 3513 R(T(x,x * y),y,x) = T(x,y). [para(3507(a,1),615(a,1,1))]. 3514 x * L(T(y,x * y),z,u) = L(L(y,x,y),z,u) * x. [para(3507(a,2),562(a,1,2,1))]. 3515 K(x,T(y,x * y)) = K(x,y). [para(3507(a,2),3403(a,1,2))]. 3516 ((x \ y) * x) * T(x,y) = x * ((x \ y) * x). [para(3508(a,1),113(a,1,2))]. 3517 R(T(x,y),x \ y,x) = T(x,x \ y). [para(3508(a,1),615(a,1,1))]. 3518 (x * ((x \ y) * x)) / x = (x \ y) * T(x,y). [para(3508(a,1),1467(a,2,2))]. 3519 T((x \ y) * T(x,y),x) = (x \ y) * x. [para(3508(a,1),1480(a,1,1,2))]. 3520 K(x,T(x \ y,y)) = K(x,x \ y). [para(17(a,1),3515(a,1,2,2))]. 3521 T(x,T(y,x)) = T(x,y). [hyper(189,a,3370,a(flip),b,3513,a(flip)),flip(a)]. 3522 (x / T(y,x)) * y = T(x,y). [hyper(189,a,3337,a(flip),b,3513,a(flip)),flip(a)]. 3523 T(x,y) / y = x / T(y,x). [hyper(76,a,3513,a(flip),b,3337,a(flip))]. 3524 R(x,y,x) * (x * y) = (x * y) * T(x,y). [para(3513(a,1),160(a,1,2)),flip(a)]. 3525 x * (T(x,y) \ y) = T(y,x). [hyper(1060,a,3521,a)]. 3528 T(x,y) \ (x * y) = T(y,x). [hyper(316,a,3521,a)]. 3529 T(x,y) \ y = x \ T(y,x). [hyper(75,a,3521,a(flip),b,1008,a),flip(a)]. 3530 T(T(x,y),T(z,x)) = T(T(x,z),y). [para(3521(a,1),41(a,1,1)),flip(a)]. 3531 T(x,T(T(y,x),z)) = T(x,T(y,z)). [para(41(a,1),3521(a,1,2))]. 3532 T(L(x,y,z),T(u,x)) = L(T(x,u),y,z). [para(3521(a,1),43(a,1,1)),flip(a)]. 3533 T(x,y / x) = T(x,x \ y). [para(115(a,1),3521(a,1,2)),flip(a)]. 3534 T(x,y) * L(T(y,x),z,u) = L(y,z,u) * T(x,y). [para(3521(a,1),159(a,1,2,1))]. 3535 T(x,y) * R(T(y,x),z,u) = R(y,z,u) * T(x,y). [para(3521(a,1),160(a,1,2,1))]. 3536 T((x \ y) \ y,T(z,x)) = T(T(x,z),x \ y). [para(3521(a,1),221(a,1,1)),flip(a)]. 3537 T(x,y) * T(T(y,x),z) != u | T(y,z) * T(x,y) = u. [para(3521(a,1),302(a,1,2,1))]. 3538 T(x,y) * R(T(T(y,x),z),u,w) = R(T(y,z),u,w) * T(x,y). [para(3521(a,1),509(a,1,2,1,1))]. 3539 T(x \ y,x) != z | T(x,x \ y) \ y = z. [para(3521(a,1),317(a,1))]. 3540 T(x \ y,x) != z | ((x \ y) \ y) \ y = z. [para(3521(a,1),435(a,1))]. 3542 T(x,y) \ x = y \ T(y,x). [para(3521(a,1),3284(a,2,2))]. 3543 T(x * (T(x,y) \ x),y) = x. [para(3521(a,1),3311(a,1,1,2,1))]. 3544 (x * y) / x = y * (T(y,x) \ y). [para(3521(a,1),3304(a,2,2,1))]. 3545 T(x,y) * (y * x) = x * (x * y). [para(3521(a,1),3329(a,1,1))]. 3546 x * ((T(y,x) \ y) * z) = T(x,y) * z. [para(3521(a,1),3479(a,2,1))]. 3547 T(x,y) / T(y,x) = x / T(T(y,x),x). [hyper(76,a,3521,a(flip),b,3522,a)]. 3548 T(x,y) = (x * (x * y)) / (y * x). [hyper(189,a,1512,a,b,3522,a(flip))]. 3549 (x * y) / T(y,x) = T(x,y). [hyper(189,a,1483,a,b,3522,a(flip)),flip(a)]. 3550 T(x,y) != z * y | x / T(y,x) = z. [para(3522(a,1),23(a,1))]. 3551 T(x,y) * T(y,x) = x * y. [para(3522(a,1),1484(a,1,1))]. 3552 ((x * (y / x)) / T(x,y)) * x = T(x * (y / x),x). [para(3510(a,1),3522(a,1,1,2))]. 3553 (T(x,y) / y) \ x = T(y,x). [para(3523(a,2),69(a,1,1))]. 3554 K(x \ 1,x) * T(y,(x \ 1) \ 1) = x * (T((x \ 1) \ 1,y) \ y). [para(3525(a,1),2443(a,1,2))]. 3555 T(x,y) = (x \ (y * x)) \ (y * x). [para(35(a,1),3528(a,1,1)),flip(a)]. 3556 x * T(y,z) != z * y | T(z,y) = x. [para(3528(a,1),87(a,1,2)),flip(b)]. 3557 T(x,y) * (x \ T(y,x)) = y. [para(3529(a,1),17(a,1,2))]. 3558 (T(x,y) * ((x \ T(y,x)) * z)) \ (y * z) = a(T(x,y),T(x,y) \ y,z). [para(3529(a,1),93(a,1,1,2,1))]. 3559 T((x \ y) * x,x) = (T(x,y) \ y) * x. [para(3529(a,2),1172(a,2,1))]. 3560 T(x,y / x) = (x \ y) \ y. [hyper(189,a,114,a(flip),b,3533,a)]. 3561 R(T(x,y),y / x,x) = T(x,x \ y). [hyper(189,a,618,a,b,3533,a(flip)),flip(a)]. 3562 (x / y) * T(y,y \ x) = y * (x / y). [para(3533(a,1),113(a,1,2))]. 3563 x / T(y,x / y) = y \ x. [para(3533(a,2),174(a,1,2))]. 3565 (x * (y / x)) * x = y * T(x,x \ y). [para(3533(a,1),622(a,2,2))]. 3566 (x * y) \ (y * T(x,x \ y)) = a(x,y / x,x). [para(3533(a,1),701(a,1,2,2))]. 3567 K(x \ (x / y),x) = T(x,y \ 1) \ x. [hyper(189,a,2641,a,b,3542,a),flip(a)]. 3568 T(x,y \ 1) \ x = y * T(y \ 1,x). [hyper(189,a,2638,a(flip),b,3542,a)]. 3571 T(x,y) * (x \ z) = (T(y,x) \ y) * z. [para(3542(a,2),3476(a,1,1)),flip(a)]. 3572 K(x,y) = T(x \ T(x,y),y * x). [para(3542(a,1),3501(a,2,1))]. 3573 T(x / (x / y),y \ x) = y. [para(3374(a,2),3543(a,1,1))]. 3574 T(T(x,y),T(y,x)) != z | T(y,x) \ (x * y) = z. [para(3549(a,1),307(a,1,1))]. 3575 (T(x,y) * (y * x)) / T(x,y) = T(y,x) * T(T(x,y),y * x). [para(3549(a,1),1463(a,1,1)),flip(a)]. 3576 (T(x,y) * (T(y,x) * z)) \ ((x * y) * z) = a(T(x,y),T(y,x),z). [para(3551(a,1),27(a,2,2,1)),flip(a)]. 3577 (x * y) \ (T(x,y) * (T(y,x) * z)) = L(z,T(y,x),T(x,y)). [para(3551(a,1),31(a,2,1)),flip(a)]. 3579 R(x,T(y,z),T(z,y)) * (y * z) = (x * T(y,z)) * T(z,y). [para(3551(a,1),110(a,1,2))]. 3580 x / T(y,x) != z | T(x,y) / y = z. [para(3553(a,1),246(a,1,2)),flip(b)]. 3581 T(x,y) * (x \ T(x * (y / x),x)) = x * (y / x). [para(3510(a,1),3557(a,1,1))]. 3584 (x * (y / x)) * x = y * ((x \ y) \ y). [para(3560(a,1),622(a,2,2))]. 3585 x / T(y \ x,y) = (y \ x) \ x. [para(67(a,1),3563(a,1,2,2))]. 3586 T(T(x / (x / y),z),y \ x) = T(y,z). [para(3573(a,1),41(a,1,1)),flip(a)]. 3588 (x / (x / y)) * (y \ x) = (y \ x) * y. [para(3573(a,1),113(a,1,2)),flip(a)]. 3589 ((x \ y) * x) / (x \ y) = y / (y / x). [para(3573(a,1),143(a,1,1,2))]. 3591 T((T(x,y) * y) / T(x,y),x) = y. [para(3544(a,2),3311(a,1,1))]. 3592 (x * (x * y)) \ ((x * y) * x) = K(y * x,T(x,y)). [para(3545(a,1),623(a,1,1))]. 3593 x \ T(x,T(y,(y \ 1) * x) \ 1) = K(x,y \ 1). [hyper(189,a,3397,a,b,3572,a),flip(a)]. 3594 T(x,T(y,x)) != z | T(x,y) = z. [para(3591(a,1),548(a,1,1))]. 3595 ((x * (y * x)) / x) / y = L(x,y,x). [hyper(1482,a,3512,a)]. 3596 (x * (y * x)) / x = L(x,y,x) * y. [hyper(1481,a,3512,a)]. 3597 T((x * y) / x,x * y) = L(y,x,y). [hyper(331,a,3512,a)]. 3598 T(L(x,y,x) * y,x) = y * x. [para(3512(a,1),1480(a,1,1))]. 3599 (L(x,y,x) * y) * x = x * (y * x). [para(3598(a,1),113(a,1,2)),flip(a)]. 3601 T(x,L(x,y,x) * y) = T(x,y * x). [para(3598(a,1),3521(a,1,2)),flip(a)]. 3602 T((x * y) / x,L(x,y,x)) = y. [hyper(1273,a,3596,a)]. 3603 T(x,L(y,x,y)) = T(x,y). [para(3602(a,1),176(a,1,1)),flip(a)]. 3604 L(x,y,x) * T(y,x) = y * L(x,y,x). [para(3603(a,1),113(a,1,2))]. 3606 L(R(x,y,x),y,x) = x. [hyper(814,a,3599,a)]. 3607 T(x \ T(x * y,y),T(x * y,y)) = y. [hyper(189,a,3391,a,b,3606,a(flip)),flip(a)]. 3608 T(x,L(x,y,x) * y) = T(x,x * y). [hyper(189,a,3507,a(flip),b,3601,a)]. 3609 R(T(x,x * y),y,T(x,x * y)) = T(x,y). [para(3608(a,1),1492(a,1,1))]. 3610 T(x,(x \ 1) * y) = T(x,x \ y). [hyper(3594,a,3509,a)]. 3611 T(x,(1 / x) * y) = T(x,x \ y). [hyper(189,a,2393,a,b,3610,a(flip)),flip(a)]. 3612 T(x \ 1,(x \ 1) \ y) = T(x \ 1,x * y). [hyper(189,a,2394,a(flip),b,3610,a(flip))]. 3613 T(x,x \ ((x \ 1) \ y)) = T(x,y). [para(17(a,1),3610(a,1,2)),flip(a)]. 3614 T(x,x \ ((1 / x) \ y)) = T(x,y). [para(17(a,1),3611(a,1,2)),flip(a)]. 3615 T((x \ 1) \ y,T(x,y)) = T((x \ 1) \ y,x). [para(3613(a,1),3331(a,1,2))]. 3616 (x \ ((1 / x) \ y)) * T(x,y) = (1 / x) \ y. [para(3614(a,1),145(a,1,2))]. 3617 T(x,R(y,x,x \ 1)) = T(x,y). [para(851(a,1),3614(a,1,2))]. 3618 T(x,y * (x \ 1)) = T(x,y / x). [para(445(a,1),3617(a,1,2))]. 3619 T(x,y * (x \ 1)) = T(x,x \ y). [hyper(189,a,3533,a(flip),b,3618,a)]. 3620 T(T(x,y),(z \ 1) * x) = T(T(x,z \ x),y). [para(1570(a,1),3511(a,1,1)),flip(a)]. 3621 (x * ((x \ y) * x)) / x != z | (x \ y) * T(x,y) = z. [para(3519(a,1),250(a,1,1,2)),flip(b)]. 3622 T(x,(x \ y) * T(x,y)) = T(x,(x \ y) * x). [para(3519(a,1),3521(a,1,2)),flip(a)]. 3623 (T(x,y / z) \ x) * y = z * T(z \ y,x). [hyper(20,a,1062,a,b,3546,a)]. 3624 (x * (x * (T(x,y) \ y))) / T((x \ y) * x,x) = T(x,T(x,y) \ y). [para(3559(a,2),3548(a,2,2)),flip(a)]. 3625 (x / T(y,x)) * T(y,y \ T(x,y)) = y * (T(x,y) / y). [para(3523(a,1),3562(a,1,1))]. 3626 (x * T(y,y \ x)) / T(y,z) = ((y * (x / y)) / T(y,z)) * y. [hyper(76,a,3565,a(flip),b,1484,a)]. 3627 K(x \ (x / y),x) \ x = T(x,y \ 1). [para(3567(a,2),2746(a,1,1))]. 3628 K(x,y) = T(y,((y * x) \ y) \ 1) \ y. [hyper(189,a,903,a,b,3568,a),flip(a)]. 3629 (T(x,y \ 1) \ x) \ (y * (T(y \ 1,x) * z)) = L(z,T(y \ 1,x),y). [para(3568(a,2),31(a,2,1)),flip(a)]. 3630 x * (T(x,y \ 1) \ x) = y * ((x \ (y \ x)) * x). [para(3568(a,2),2795(a,2,2)),flip(a)]. 3631 x * ((y \ x) \ x) = (y \ 1) \ x. [hyper(748,a,3584,a),flip(a)]. 3633 ((x / y) \ 1) \ x = x * (y \ x). [para(69(a,1),3631(a,1,2,1)),flip(a)]. 3634 (x * (y \ x)) / (x / y) = (x / y) * (x / (x / y)). [hyper(76,a,3633,a(flip),b,485,a)]. 3635 x / (x * (y \ x)) = (x / y) \ 1. [para(3633(a,1),67(a,1,2))]. 3636 (x / (x / y)) \ 1 = x / (x * y). [para(69(a,1),3635(a,1,2,2)),flip(a)]. 3637 1 / (x / (x * y)) = x / (x / y). [para(3636(a,1),67(a,1,2))]. 3638 x / (x / (x \ y)) = 1 / (x / y). [para(17(a,1),3637(a,1,2,2)),flip(a)]. 3639 (x / (x / y)) \ 1 != z | x / (x * y) = z. [para(3637(a,1),236(a,1,1)),flip(b)]. 3640 (1 / (x / y)) \ x = x / (x \ y). [para(3638(a,1),69(a,1,1))]. 3641 x / (x \ (y \ x)) = (1 / y) \ x. [para(67(a,1),3640(a,1,1,2)),flip(a)]. 3642 (x * (y \ x)) / (x / y) = (y \ x) * y. [hyper(189,a,1525,a,b,3588,a(flip)),flip(a)]. 3643 T(x / (x / y),x) = L(y,y \ x,y). [para(3589(a,1),565(a,1,1))]. 3644 T(T(x / (x / y),x),z) = L(T(y,z),y \ x,y). [para(3643(a,2),43(a,2,1)),flip(a)]. 3645 x * T(x / (x / y),x) = y * ((y \ x) * y). [para(3643(a,2),344(a,1,2))]. 3646 x * T(y,z) != y * L(z,y,z) | L(z,y,z) = x. [para(3604(a,1),23(a,1)),flip(a)]. 3648 T(x,x \ T(x * y,y)) = T(x,y). [para(3607(a,1),3332(a,1,2)),flip(a)]. 3649 K(x,x \ T(x * y,y)) = K(x,y). [para(3607(a,1),3520(a,1,2)),flip(a)]. 3650 K(x,y) = (x * R(y,x,y)) \ T(x * y,y). [hyper(189,a,3384,a,b,3649,a(flip))]. 3651 T(x,(y \ x) \ 1) = K(x \ y,x) \ x. [para(67(a,1),3627(a,1,1,1,2)),flip(a)]. 3652 K(x \ y,x) \ x = x * K(x,y / x). [hyper(3349,a,3651,a),flip(a)]. 3653 K(x \ y,x) \ 1 = K(x,y / x). [hyper(3066,a,3652,a)]. 3654 K(x,(x * y) / x) = K(y,x) \ 1. [para(16(a,1),3653(a,1,1,1)),flip(a)]. 3655 K(T(x,y),y) = K(y,x) \ 1. [hyper(189,a,3369,a,b,3654,a(flip)),flip(a)]. 3656 K(T(x,y),y) \ 1 = K(y,x). [para(143(a,1),3654(a,1,2)),flip(a)]. 3657 K(T(x,y),y) * K(y,x) = 1. [para(3656(a,1),17(a,1,2))]. 3658 R(x,K(x,y),z) = x. [para(3656(a,1),3488(a,1,2))]. 3659 (R(x,y,z) * K(x,u)) * w = R(x,y,z) * (K(x,u) * w). [para(3658(a,1),382(a,1,1,1)),flip(a)]. 3661 (x * K(x,y)) * y = x * (y * K(x,y)). [para(3658(a,1),2769(a,1,1)),flip(a)]. 3662 K(T(x,y),y) \ 1 != z | K(y,x) = z. [para(3657(a,1),237(a,1,2)),flip(b)]. 3663 K(x \ y,x) \ 1 != z | K(x,y / x) = z. [para(115(a,1),3662(a,1,1,1))]. 3664 K(T(x,T(y,x)),T(y,x)) != z | K(x,y) = z. [para(3655(a,2),3662(a,1))]. 3665 R(x,y,T(x,y)) = R(x,y,x). [hyper(21,a,383,a,b,3524,a),flip(a)]. 3666 ((x * y) * T(x,y)) / (x * y) != z | R(x,y,x) = z. [para(3524(a,1),248(a,1,1)),flip(b)]. 3667 x \ T(y * x,y) = R(y,x,y). [hyper(1055,a,3665,a)]. 3668 x * R(y,x,y) = T(y * x,y). [para(3665(a,1),1054(a,1,2))]. 3669 R(x,T(y,x),T(x,y)) = R(x,T(y,x),x). [para(3521(a,1),3665(a,1,3))]. 3670 R(x,x \ y,x) = (x \ y) \ T(y,x). [para(17(a,1),3667(a,1,2,1)),flip(a)]. 3671 (x * y) \ (x * T(z * y,z)) = L(R(z,y,z),y,x). [para(3667(a,1),104(a,1,1)),flip(a)]. 3672 x \ T(y * x,y) != z | R(y,x,y) = z. [para(3668(a,1),237(a,1,2)),flip(b)]. 3673 T(x * y,x) * T(x,y) = (x * y) * R(x,y,x). [para(3668(a,1),1666(a,1,1))]. 3674 R(x \ y,(x \ y) \ (y / (y / x)),x \ y) = ((x \ y) \ (y / (y / x))) \ x. [para(3573(a,1),3670(a,2,2))]. 3675 T(x,x \ T(x * y,y)) \ T(x * y,y) = R(y,x,y). [hyper(3539,a,3382,a)]. 3676 K(x,y) = T(y * x,y) \ T(x * y,y). [para(3668(a,1),3650(a,2,1))]. 3677 K(x \ T(x * y,x),x) = K(y,x). [hyper(189,a,1183,a(flip),b,3676,a),flip(a)]. 3678 K(x \ T(y,x),x) = K(x \ y,x). [para(17(a,1),3677(a,1,1,2,1))]. 3679 K(x \ ((x * y) / x),x) = K(x \ y,x). [para(142(a,1),3678(a,1,1,2)),flip(a)]. 3680 K(T(x,y) \ y,x) = K(x \ y,x). [para(3529(a,2),3678(a,1,1))]. 3681 L(x \ T(x,T(y,x)),T(y,x),x) != z | K(x,y) = z. [para(3368(a,2),3664(a,1))]. 3682 x * (((y * x) / y) \ z) = (T(y,x) \ y) * z. [para(3485(a,1),17(a,1,2))]. 3683 x \ (y * (T(y,x) \ y)) = ((y * x) / y) \ y. [para(2748(a,1),3485(a,1,2))]. 3684 x * ((K(y,x) \ 1) * z) = (K(y,x) \ x) * z. [para(3489(a,1),17(a,1,2))]. 3685 (x * (y / x)) / y = (x \ y) \ (y / x). [para(115(a,1),3504(a,1,1)),flip(a)]. 3686 (x * (y / x)) / y = x \ ((x \ y) \ y). [hyper(3339,a,3685,a(flip)),flip(a)]. 3687 x \ ((x \ (y \ x)) \ (y \ x)) = x \ T(x,y \ 1). [hyper(189,a,3376,a(flip),b,3686,a(flip))]. 3688 ((x \ 1) * (x \ T(x * y,x \ 1))) / (x \ 1) = ((x \ 1) \ y) * T(x \ 1,y). [para(768(a,2),3518(a,1,1,2))]. 3689 T(x \ 1,x * y) = ((x \ 1) \ y) \ y. [hyper(315,a,3612,a),flip(a)]. 3691 ((x \ 1) \ (x \ y)) \ (x \ y) = T(x \ 1,y). [para(17(a,1),3689(a,1,2)),flip(a)]. 3692 T(T(x,y),(z \ 1) * x) = T(T(x,y),z \ x). [hyper(189,a,41,a,b,3620,a)]. 3693 T(x,(x \ y) * T(x,y)) = T(x,y). [hyper(189,a,3508,a(flip),b,3622,a)]. 3694 R(T(x,y),x \ y,T(x,y)) = T(x,x \ y). [para(3693(a,1),1487(a,1,1))]. 3695 R(x \ T(x,y),y,((x * y) / x) \ z) \ z = (T(x,y) \ x) * z. [hyper(189,a,3296,a,b,3682,a(flip)),flip(a)]. 3696 x * K(((x * y) / x) \ x,y) = (x * ((y \ x) * y)) / x. [para(3683(a,1),3440(a,1,2,1))]. 3697 ((x * y) / x) \ x = y \ ((y * x) / y). [para(3544(a,2),3683(a,1,2)),flip(a)]. 3698 K(((x * y) / x) \ x,y) = K(y \ x,y). [para(3697(a,2),3679(a,1,1))]. 3699 (K(x,y) \ y) * z != y * u | (K(x,y) \ 1) * z = u. [para(3684(a,1),22(a,1))]. 3700 (x \ T(x,y)) \ z != u | x * (T(x,y) \ z) = u. [para(17(a,1),3494(a,1,2))]. 3702 T(x,y) \ (y * x) = T(T(y,x),x). [hyper(3574,a,3530,a)]. 3703 T(x,y) * T(T(y,x),x) = y * x. [para(3702(a,1),17(a,1,2))]. 3704 L(T(x,y),z,u) \ (y * L(x,z,u)) = T(T(y,L(x,z,u)),L(x,z,u)). [para(43(a,2),3702(a,1,1))]. 3705 R(K(x,y),x,z) = K(x,y). [hyper(189,a,3344,a,b,3496,a)]. 3707 (K(x,y) * x) * z = K(x,y) * (x * z). [para(3705(a,1),110(a,1,1)),flip(a)]. 3708 L(x,y,K(y,z)) = x. [hyper(346,a,3707,a)]. 3709 (x * K(x,y)) * z = K(x,y) * (x * z). [para(2650(a,1),3707(a,1,1))]. 3711 L(x,y,K(y,z)) = 1 * x. [hyper(189,a,14,a,b,3708,a)]. 3714 L(x,y,K(y,z)) != u | u = x. [para(3711(a,2),77(a,1))]. 3715 K(x,y) * (x * y) = x * (y * K(x,y)). [hyper(189,a,3661,a(flip),b,3709,a(flip))]. 3716 K(x,y) \ (x * (y * K(x,y))) != y * z | T(x,y) = z. [para(3715(a,1),291(a,1,2))]. 3717 ((x \ y) / y) \ T((x \ y) / y,z) = x * T(x \ 1,z). [hyper(917,a,3498,a),flip(a)]. 3719 T(x,y) * T(y,y * x) = L(y,x,y) * T(x,y). [para(554(a,1),3534(a,1,2))]. 3720 T(x,y) * T(y,y * x) = x * L(y,x,y). [hyper(189,a,3604,a(flip),b,3719,a)]. 3722 T(x,y) * T(y,x * y) = x * L(y,x,y). [para(3507(a,2),3720(a,1,2))]. 3723 L(x,T(y,x),x) * T(y,x) = y * L(x,y,x). [hyper(189,a,564,a,b,3722,a(flip)),flip(a)]. 3724 L(x,T(y,x),x) = L(x,y,x). [hyper(3646,a,3723,a),flip(a)]. 3725 T(x * L(y,x,y),y) = T(x,y) * y. [para(3723(a,1),3598(a,1,1))]. 3726 ((x * (y * x)) / x) / y = L(x,T(y,x),x). [hyper(189,a,3595,a,b,3724,a),flip(a)]. 3727 L(x,T(y,y * x),x) = L(x,L(y,x,y),x). [para(557(a,1),3724(a,1,2))]. 3728 (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(3535(a,1),150(a,1,1,2))]. 3729 R(x,y,x) * T(x * y,x) = T(x * y,x) * T(x,y). [para(3513(a,1),3535(a,1,2)),flip(a)]. 3730 R(x,x \ y,x) * T(y,x) = T(y,x) * T(x,x \ y). [para(3517(a,1),3535(a,1,2)),flip(a)]. 3731 R(x,y / x,x) * T(y,x) = T(y,x) * T(x,x \ y). [para(3561(a,1),3535(a,1,2)),flip(a)]. 3732 T(x,y) * (T(y,x) / x) = x * (y / x). [para(1178(a,1),3581(a,1,2))]. 3733 T(x,y) * (y / T(x,y)) = x * (y / x). [para(3523(a,1),3732(a,1,2))]. 3734 K(x * y,T(y,x)) = K(y * x,y). [hyper(240,a,3592,a),flip(a)]. 3735 K(x * y,T(y,x)) != z | K(y * x,y) = z. [para(3592(a,1),240(a,1))]. 3736 x \ T(x,T(y,y \ x) \ 1) = K(x,y \ 1). [para(3610(a,1),3593(a,1,2,2,1))]. 3737 T(x,T(y,y \ x) \ 1) = x * K(x,y \ 1). [para(3736(a,1),17(a,1,2)),flip(a)]. 3738 K(x,(y \ x) / x) = K(x,y \ 1). [hyper(3396,a,3737,a)]. 3739 K(x \ ((x \ 1) \ y),x) = K(y,(x \ 1) \ 1). [hyper(189,a,3415,a,b,3738,a(flip)),flip(a)]. 3740 K(x \ ((x \ 1) \ y),x) = K(y,x). [hyper(189,a,3081,a(flip),b,3739,a)]. 3741 K(x \ ((1 / x) \ y),x) = K(y,x). [hyper(189,a,3096,a,b,3740,a(flip)),flip(a)]. 3742 K((1 / x) * y,x) = K(x \ y,x). [para(16(a,1),3741(a,1,1,2)),flip(a)]. 3743 K((x \ 1) \ y,x \ 1) = K(x * y,x \ 1). [para(67(a,1),3742(a,1,1,1)),flip(a)]. 3744 (x / y) * (x / (x / y)) = (y \ x) * y. [hyper(189,a,3642,a(flip),b,3634,a(flip))]. 3745 ((x \ y) * x) * x = y * (y / (y / x)). [para(3744(a,1),1603(a,1,1))]. 3746 ((x \ T(y,x)) * T(x,y)) * T(x,y) = y * (y / (y / T(x,y))). [para(3529(a,1),3745(a,1,1,1))]. 3747 R(K(x,y),x,z) != u | K(x,y) = u. [para(3496(a,2),3681(a,1))]. 3748 (x \ T(x,y \ 1)) * x = T(x,x \ (y \ x)). [para(3687(a,1),2812(a,1,1))]. 3749 T(x,x \ (y \ x)) = T(x,y \ 1). [hyper(2803,a,3748,a),flip(a)]. 3750 T(x * y,(x * y) \ y) = T(x * y,x \ 1). [para(16(a,1),3749(a,1,2,2))]. 3751 T(x,(x / y) \ 1) = T(x,x \ y). [para(69(a,1),3749(a,1,2,2)),flip(a)]. 3752 (x \ (y \ x)) * T(x,y \ 1) = y \ x. [para(3749(a,1),145(a,1,2))]. 3754 (x / y) \ T(x,x \ y) = x * (y / x). [para(3751(a,1),3363(a,1,2))]. 3755 (x \ ((y \ 1) \ x)) * T(x,y) = (y \ 1) \ x. [para(2671(a,1),3752(a,1,2))]. 3756 (x * T(x \ (T(x,x \ y) * y),z)) / y = (x / y) * T(x * (y / x),z). [para(3754(a,1),1458(a,2,2,1))]. 3757 T(x * y,x \ 1) = ((x * y) \ y) \ y. [hyper(315,a,3750,a),flip(a)]. 3758 x / T(y * x,y \ 1) = (y * x) \ x. [para(3750(a,1),174(a,1,2))]. 3759 T((x \ 1) * y,x) = (((x \ 1) * y) \ y) \ y. [hyper(189,a,2671,a(flip),b,3757,a(flip)),flip(a)]. 3760 T(L(L(x,y,x),z,u) * y,x) = L(x,z,u) * T(y,x). [para(3514(a,1),1626(a,1,1))]. 3761 T(x,y) \ T(x * y,y) = R(y,x,y). [para(3648(a,1),3675(a,1,1))]. 3762 (x \ (y * x)) \ T(y * x,x) = R(x,y,x). [para(35(a,1),3761(a,1,1))]. 3763 R(x,y,x) * T(x * y,x) = (x * y) * R(x,y,x). [hyper(189,a,3673,a(flip),b,3729,a)]. 3764 (R(x,y,x) * y) \ ((x * y) * R(x,y,x)) = L(R(x,y,x),y,R(x,y,x)). [para(3763(a,1),3671(a,1,2))]. 3766 R(x,y / x,x) = R(x,x \ y,x). [hyper(21,a,3730,a,b,3731,a)]. 3767 R(x,(x * y) / x,x) = R(x,y,x). [para(16(a,1),3766(a,2,2))]. 3768 R(x,x \ y,x) * y = (x * (y / x)) * x. [para(3766(a,1),375(a,1,1))]. 3769 R(x,T(y,x),x) = R(x,y,x). [para(143(a,1),3767(a,1,2)),flip(a)]. 3770 R(x,T(y,x),T(x,y)) = R(x,y,x). [hyper(189,a,3669,a,b,3769,a(flip)),flip(a)]. 3771 R(T(x,y),T(z,x),T(x,z)) = T(R(x,z,x),y). [para(3770(a,1),45(a,2,1))]. 3772 R(R(x,y,z),T(u,x),T(x,u)) = R(R(x,u,x),y,z). [para(3770(a,1),49(a,1,1)),flip(a)]. 3774 R(T(x,y),T(z,x),T(x,z)) = R(T(x,y),z,x). [hyper(189,a,45,a,b,3771,a)]. 3775 R(T(T(x,y),z),T(u,x),T(x,u)) = T(R(T(x,y),u,x),z). [para(3774(a,1),45(a,2,1))]. 3777 (x * ((y \ x) * y)) / x = x * K(y \ x,y). [para(3698(a,1),3696(a,1,2)),flip(a)]. 3778 T(x,(y \ x) * y) = x. [hyper(3407,a,3777,a)]. 3780 T(x,y * (x / y)) = x. [para(69(a,1),3778(a,1,2,1))]. 3781 T(T(x,y),z * (x / z)) = T(x,y). [para(3780(a,1),41(a,1,1)),flip(a)]. 3782 T(x,T((y \ z) / z,x)) = (y * T(y \ 1,x)) \ x. [para(3717(a,1),3302(a,1,1)),flip(a)]. 3783 T(x,T((y \ z) / z,x)) = T(x,T(y \ 1,x)). [hyper(189,a,3308,a(flip),b,3782,a)]. 3784 T(x,T(y \ 1,x)) = T(x,(y \ z) / z). [hyper(3594,a,3783,a),flip(a)]. 3785 T(x,(y \ z) / z) = T(x,y \ 1). [hyper(3594,a,3784,a),flip(a)]. 3786 T(x,y / (z * y)) = T(x,z \ 1). [para(16(a,1),3785(a,1,2,1))]. 3787 T(x,(y / z) \ 1) = T(x,z / y). [para(69(a,1),3785(a,1,2,1)),flip(a)]. 3793 T(x \ T(x,(y * z) / z),T(y,u)) = R(x \ T(x,y),y,z). [para(3787(a,1),3436(a,1,1,2))]. 3794 R(T(T(x,y),z),T(u,x),T(x,u)) = R(T(T(x,y),z),u,x). [hyper(189,a,45,a,b,3775,a)]. 3795 (R(x,y,z) * T(u,x)) * T(x,u) = R(R(x,u,x),y,z) * (u * x). [para(3772(a,1),3579(a,1,1)),flip(a)]. 3796 T(x \ T(x,y),T(y,z)) = R(x \ T(x,y),y,u). [para(18(a,1),3793(a,1,1,2,2))]. 3797 R(x \ T(x,y),y,z) = x \ T(x,y). [hyper(189,a,2784,a(flip),b,3796,a(flip))]. 3798 (x \ T(x,y)) \ (((x * y) / x) * z) = y * z. [para(3797(a,1),3295(a,1,1))]. 3799 L(x,y \ 1,(z * y) / z) = y * ((y \ 1) * x). [hyper(3310,a,3798,a)]. 3800 (x \ T(x,x \ y)) \ y = (x \ y) * x. [para(71(a,1),3798(a,1,2))]. 3803 (x \ ((x \ y) \ y)) \ y = (x \ y) * x. [para(114(a,1),3800(a,1,1,2))]. 3804 x / ((y \ x) * y) = y \ ((y \ x) \ x). [para(3803(a,1),67(a,1,2))]. 3805 (x * (y / x)) / y = y / ((x \ y) * x). [hyper(189,a,3686,a,b,3804,a),flip(a)]. 3806 L(x,y \ 1,(z * y) / z) = L(x,y \ 1,y). [hyper(189,a,166,a(flip),b,3799,a)]. 3807 L(x,y \ 1,y * K(z,y)) = L(x,y \ 1,y). [para(3395(a,1),3806(a,1,3))]. 3808 L((x \ 1) \ y,x \ 1,x * K(z,x)) = x * y. [hyper(189,a,362,a(flip),b,3807,a)]. 3809 K(x,y) * (z * T(z \ (y * z),u)) = (K(x,y) * T(y,u)) * z. [para(3808(a,1),2862(a,1,2,2,1,2))]. 3810 T(x,y \ 1) * (x \ (y * z)) = y * (T(x,y \ 1) * (x \ z)). [para(3476(a,1),3490(a,2,2))]. 3811 T(x,y) * (T(x,x \ 1) \ z) = ((x \ 1) * T(x,y)) * z. [para(2497(a,1),3491(a,1,2))]. 3812 (((x \ 1) \ 1) * T(x \ 1,y)) * z = T(1 / x,y) * ((x \ 1) \ z). [hyper(189,a,3003,a(flip),b,3811,a(flip))]. 3813 (T(x,y) * (y * x)) / T(x,y) != z | T(x,y * x) * T(y,x) = z. [para(3575(a,2),3537(a,1))]. 3814 ((x * (y / x)) / T(x,z)) * x = (y / T(x,z)) * T(x,x \ y). [hyper(189,a,2125,a(flip),b,3626,a(flip))]. 3815 x * T(y,z) != z * (z / (z / T(y,z))) | (y \ T(z,y)) * T(y,z) = x. [para(3746(a,1),23(a,1)),flip(a)]. 3816 (K(x,y) * T(y,z)) * u = K(x,y) * (T(y,z) * u). [para(322(a,1),3809(a,1,2)),flip(a)]. 3818 L(x,T(y,z),K(u,y)) = x. [hyper(346,a,3816,a)]. 3819 L(x,y,K(z,y)) = x. [para(112(a,1),3818(a,1,2))]. 3820 (K(x,y) * y) * z = K(x,y) * (y * z). [para(3819(a,1),102(a,1,2))]. 3821 L(x,y,T(y,z) \ y) = x. [para(2744(a,1),3819(a,1,3))]. 3822 L(x,T(y,z) \ y,y) = y * (y \ x). [para(3821(a,1),3428(a,1,2)),flip(a)]. 3823 L(x,T(y,z) \ y,y) = x. [hyper(189,a,17,a(flip),b,3822,a)]. 3827 L(x,K(y,z),z) = x. [para(3628(a,2),3823(a,1,2))]. 3828 (x * K(y,x)) * z = x * (K(y,x) * z). [para(3827(a,1),102(a,1,2))]. 3829 (x * (K(y,x) * z)) / z = x * K(y,x). [para(3827(a,1),128(a,1,2))]. 3831 R(K(x,y),y,z) = K(x,y). [hyper(376,a,3820,a)]. 3832 (x * K(y,x)) * z = K(y,x) * (x * z). [para(2754(a,1),3820(a,1,1))]. 3833 R(x,K(y,x),z) = x. [hyper(376,a,3828,a)]. 3834 (x * (K(y,x) * z)) \ ((x * K(y,x)) * (z * u)) = L(u,z,x * K(y,x)). [para(3828(a,1),31(a,2,1)),flip(a)]. 3835 R(T(x,y),K(z,x),u) = T(x,y). [para(3833(a,1),45(a,2,1))]. 3836 x * (K(y,x) * z) != u | (x * K(y,x)) * z = u. [para(3833(a,1),204(a,1,1))]. 3837 (T(x,y) * K(z,x)) * u = T(x,y) * (K(z,x) * u). [para(3833(a,1),380(a,1,1,1)),flip(a)]. 3838 R(T(x,((x * y) \ x) \ K(y,x)),K(z,x),u) = K(y,x) \ x. [hyper(189,a,3394,a(flip),b,3835,a)]. 3839 K(x,y) \ (z * (y * K(x,y))) = y * T(z,y * K(x,y)). [hyper(428,a,3832,a)]. 3840 (x * K(y,x)) * (x \ z) = K(y,x) * z. [hyper(189,a,89,a(flip),b,3832,a)]. 3841 K(x,y) * (y * z) = y * (K(x,y) * z). [hyper(189,a,3828,a(flip),b,3832,a(flip))]. 3844 x * (K(y,x) * (x \ z)) != u | K(y,x) * z = u. [para(3841(a,1),254(a,1))]. 3846 (x * (K(y,x) * z)) \ (K(y,x) * (x * (z * u))) = L(L(u,z,x),x * z,K(y,x)). [para(3841(a,1),348(a,1,1))]. 3847 R(x,y,z) * (K(u,R(x,y,z)) * (y * z)) != w | K(u,R(x,y,z)) * ((x * y) * z) = w. [para(133(a,1),3844(a,1,2,2))]. 3849 T(x,y * K(x,y)) = T(x,y). [hyper(3716,a,3839,a),flip(a)]. 3850 T(L(L(x * K(y,x),y,x * K(y,x)),z,u) * y,x * K(y,x)) = L(x * K(y,x),z,u) * T(y,x). [para(3849(a,1),3760(a,2,2))]. 3851 R(K(x,y) \ y,K(z,y),u) = K(x,y) \ y. [para(3394(a,1),3838(a,1,1))]. 3852 (x * y) / (K(z,x) * y) = K(z,x) \ x. [hyper(189,a,2859,a(flip),b,3851,a(flip)),flip(a)]. 3854 (K(x,y) \ y) * (K(x,y) * z) = y * z. [para(3852(a,1),19(a,1,1))]. 3855 (K(x,y) \ 1) * (K(x,y) * z) = z. [hyper(3699,a,3854,a)]. 3856 L(x,K(y,z) \ 1,K(y,z)) = x. [hyper(1912,a,3855,a)]. 3858 (K(x,y) \ 1) \ z = K(x,y) * z. [hyper(80,a,3855,a)]. 3860 (K(x,y) \ 1) \ z != u | K(x,y) * z = u. [para(3855(a,1),237(a,1,2)),flip(b)]. 3862 x * (1 / K(y,z)) = x / K(y,z). [hyper(1893,a,3858,a)]. 3863 (K(x,y) \ z) \ z = T(K(x,y),z). [hyper(147,a,3858,a(flip),b,3631,a),flip(a)]. 3865 x * (K(y,z) \ 1) = x / K(y,z). [para(2004(a,1),3862(a,1,2))]. 3866 x / T(K(y,z),x) = K(y,z) \ x. [para(3863(a,1),67(a,1,2))]. 3867 (x * y) \ (y * x) = K(x,y) \ 1. [hyper(75,a,127,a(flip),b,3865,a)]. 3868 (x * K(y,z)) \ x = K(y,z) \ 1. [hyper(75,a,18,a(flip),b,3865,a)]. 3870 (K(x,y) \ z) * K(x,y) = T(z,K(x,y)). [para(3866(a,1),3522(a,1,1))]. 3871 K(x,y) \ 1 = K(y,x). [hyper(240,a,3867,a),flip(a)]. 3872 K(x,y) \ 1 != z | K(y,x) = z. [para(3867(a,1),240(a,1))]. 3873 K(x,y / x) = K(x,x \ y). [hyper(3663,a,3871,a)]. 3874 K(x,T(y,x)) = K(x,y). [hyper(3662,a,3871,a),flip(a)]. 3875 1 / K(x,y) = K(y,x). [hyper(2006,a,3871,a)]. 3876 K(T(x,y),y) = K(x,y). [hyper(189,a,3655,a,b,3871,a(flip)),flip(a)]. 3877 (x * K(y,x)) \ x = K(x,y). [hyper(189,a,3069,a,b,3871,a(flip)),flip(a)]. 3878 K(x,y) * K(y,x) = 1. [para(3871(a,1),17(a,1,2))]. 3879 x * K(y,z) != 1 | K(z,y) = x. [para(3871(a,1),87(a,1,2)),flip(b)]. 3880 1 / K(x,y) != z | K(y,x) = z. [para(3871(a,1),246(a,1,2)),flip(b)]. 3882 (x * y) \ ((y * x) * T(K(x,y),z)) = K(y,x) * T(K(x,y),z). [para(3871(a,1),1412(a,2,2,1))]. 3884 K(x,y) \ x = x * K(y,x). [para(3871(a,1),2985(a,1,2)),flip(a)]. 3885 K(x,T(y,x)) != z | K(x,y) = z. [para(3871(a,1),3662(a,1))]. 3887 K(x,y) * (K(y,x) * z) = z. [para(3871(a,1),3855(a,1,1))]. 3888 L(x,K(y,z),K(z,y)) = x. [para(3871(a,1),3856(a,1,2))]. 3889 K(x,y) \ z = K(y,x) * z. [para(3871(a,1),3858(a,1,1))]. 3890 x / K(y,z) = x * K(z,y). [para(3871(a,1),3865(a,1,2)),flip(a)]. 3891 K(x,x \ (y * x)) = K(x,y). [para(35(a,1),3874(a,1,2))]. 3893 K(x,R(y / x,z,u)) = K(x,R(x \ y,z,u)). [para(163(a,1),3874(a,1,2)),flip(a)]. 3894 K(x,y) * z != 1 | K(y,x) = z. [para(3875(a,1),82(a,1,1)),flip(b)]. 3895 K(x \ (y * x),x) = K(y,x). [para(35(a,1),3876(a,1,1))]. 3896 K(x / y,y) = K(y \ x,y). [para(115(a,1),3876(a,1,1)),flip(a)]. 3898 K(R(x \ y,x,z),x) = K((y * z) / (x * z),x). [para(518(a,1),3876(a,1,1))]. 3899 K(R(x,y,x),y * x) = K(T(x,y),y * x). [para(613(a,1),3876(a,1,1)),flip(a)]. 3900 (x * K(y,x)) \ 1 = x \ K(x,y). [hyper(75,a,3878,a(flip),b,3840,a)]. 3902 x \ (y * (x / y)) = K(y,y \ x). [hyper(189,a,98,a,b,3873,a(flip)),flip(a)]. 3903 x * K(y,y \ x) = y * (x / y). [para(3873(a,1),214(a,1,2))]. 3904 L(x * K(y,x),K(x,y),z) = (z * K(x,y)) \ (z * x). [para(3884(a,1),104(a,1,1))]. 3905 x / (K(y,z) * x) = K(z,y). [hyper(88,a,3887,a)]. 3906 K(x,y) * (K(x,z) * K(y,x)) = K(x,z). [hyper(20,a,1959,a(flip),b,3887,a)]. 3907 K(x,y) * z != u | K(y,x) * u = z. [para(3887(a,1),22(a,1)),flip(a)]. 3909 K(x,y) \ z != u | K(y,x) * z = u. [para(3887(a,1),237(a,1,2)),flip(b)]. 3910 x / (K(y,z) * x) != u | K(z,y) = u. [para(3887(a,1),248(a,1,1)),flip(b)]. 3912 L(L(x,y,K(z,u)),K(z,u) * y,K(u,z)) = y \ (K(u,z) * (K(z,u) * (y * x))). [para(3887(a,1),348(a,1,1)),flip(a)]. 3913 x \ (K(y,z) \ x) = T(K(z,y),x). [hyper(75,a,3889,a,b,113,a)]. 3914 K(x,y) * (K(y,x) * z) != u | u = z. [para(3889(a,1),203(a,1,2))]. 3915 L(K(x,y) * (z \ u),K(y,x),z) = (z * K(y,x)) \ u. [para(3889(a,1),183(a,1,1))]. 3917 (K(x,y) * z) \ z = T(K(y,x),z). [para(3889(a,1),3863(a,1,1))]. 3918 (x * K(y,z)) \ x = K(z,y). [hyper(406,a,3890,a)]. 3919 (x * K(y,z)) * K(z,y) = x. [hyper(248,a,3890,a)]. 3921 (x * K(y,z)) * K(z,y) != u | u = x. [para(3890(a,1),200(a,1,1))]. 3922 (x * K(y,z)) \ x != u | K(z,y) = u. [para(3890(a,1),236(a,1,1)),flip(b)]. 3924 R((x / y) * K(z,u),K(u,z),y) = x / (K(u,z) * y). [para(3890(a,1),187(a,1,1))]. 3925 T(x * (y * K(z,u)),L(K(u,z),y / K(u,z),x)) = L(K(u,z),y / K(u,z),x) \ (x * y). [para(3890(a,1),599(a,1,1,2))]. 3926 (x * (y / x)) \ y = K(x \ y,x). [hyper(189,a,99,a,b,3896,a(flip)),flip(a)]. 3929 x * K(y,z) != u | u * K(z,y) = x. [para(3918(a,1),87(a,1,2)),flip(b)]. 3930 x / K(y,z) != u | x * K(z,y) = u. [para(3918(a,1),246(a,1,2)),flip(b)]. 3931 ((x * K(y,z)) \ x) \ u = K(y,z) * u. [para(3918(a,2),3889(a,1,1))]. 3932 T(x * K(y,z),K(z,y)) = K(y,z) * x. [hyper(147,a,3919,a,b,3887,a)]. 3934 x * L(y,K(z,u),x * K(u,z)) = (x * K(u,z)) * (K(z,u) * y). [para(3919(a,1),102(a,1,1))]. 3935 (x * y) \ ((x * (y * K(z,u))) * K(u,z)) != w | a(x,y * K(z,u),K(u,z)) = w. [para(3919(a,1),553(a,1,1,2))]. 3938 K(T(x,y),y) != z | K(x,y) = z. [para(3655(a,2),3872(a,1))]. 3940 K(x,x \ (y * x)) != z | K(x,y) = z. [para(35(a,1),3885(a,1,2))]. 3941 K(T(x,x * y),y) != z | K(L(x,y,x),y) = z. [para(557(a,1),3938(a,1,1))]. 3942 K(R(T(x,y * z),y,z),y) != u | K((y * z) \ ((y * x) * z),y) = u. [para(832(a,1),3938(a,1,1))]. 3943 x / (K(y,z) \ 1) != u | x * K(y,z) = u. [para(3868(a,1),246(a,1,2)),flip(b)]. 3944 K(((x / y) \ 1) \ y,(x / y) \ 1) = K(x,x \ y). [hyper(3398,a,3902,a)]. 3946 (x * (y / x)) * K(x \ y,x) = y. [hyper(21,a,3919,a,b,3903,a),flip(a)]. 3947 K(x,x \ y) * z != x * (y / x) | T(y,K(x,x \ y)) = z. [para(3903(a,1),148(a,2))]. 3948 L(K(x,x \ y) \ z,K(x,x \ y),y) = (x * (y / x)) \ (y * z). [para(3903(a,1),104(a,2,1))]. 3949 (K(x,y) * z) * T(K(y,x),z) = z. [para(3917(a,1),17(a,1,2))]. 3950 (K(x,y) * z) * u != z | T(K(y,x),z) = u. [para(3949(a,1),22(a,1)),flip(a)]. 3951 T(x,K(y,z)) != u | K(z,y) * (x * K(y,z)) = u. [para(35(a,2),3909(a,1))]. 3952 K(x,y) != z | K(y,x) \ 1 = z. [para(62(a,1),3914(a,1)),flip(b)]. 3953 x * K(y,z) != u | x / K(z,y) = u. [para(19(a,1),3921(a,1,1)),flip(b)]. 3955 T(K(x,y) * z,K(x,y)) = z * K(x,y). [para(16(a,1),3870(a,1,1)),flip(a)]. 3956 (K(x,y) * z) * K(y,x) = T(z,K(y,x)). [para(3889(a,1),3870(a,1,1))]. 3957 K(x,y) * T(K(y,x) * z,u) != w | T(z * K(y,x),u) * K(x,y) = w. [para(3932(a,1),302(a,1,2,1))]. 3958 T(x,K(y,z)) * K(z,y) = K(z,y) * x. [hyper(3929,a,3956,a)]. 3959 T(T(x,K(y,z)),K(z,y)) = x. [hyper(147,a,3958,a,b,xx)]. 3963 K(x,y) * K(z,y) = K(z,y) * K(x,y). [para(1958(a,1),3958(a,1,1))]. 3964 K(x,y) * (y * K(z,y)) = (y * K(z,y)) * K(x,y). [para(3419(a,1),3958(a,1,1)),flip(a)]. 3965 K(R(x \ (y / z),x,y / (y / z)),x) = K(((z \ y) * z) / (x * (y / (y / z))),x). [para(3744(a,1),3898(a,2,1,1))]. 3968 (x * K(y,x)) \ z = K(x,y) * (x \ z). [hyper(189,a,3827,a(flip),b,3915,a(flip))]. 3969 K(x,y) * (x \ 1) = x \ K(x,y). [hyper(189,a,3900,a(flip),b,3968,a(flip))]. 3970 (x \ 1) / (x \ K(x,y)) = K(y,x). [para(3969(a,1),3905(a,1,2))]. 3971 (x \ 1) / (x \ K(x,y)) != z | K(y,x) = z. [para(3969(a,1),3910(a,1,2))]. 3972 (x / T(y,x)) * T(y,y \ x) = T(y * (x / y),y). [hyper(189,a,3552,a(flip),b,3814,a(flip))]. 3973 (x / T(y,x)) * T(y,y \ x) = y * (T(x,y) / y). [hyper(189,a,1176,a(flip),b,3972,a)]. 3974 T(x,x \ T(y,x)) = T(x,x \ y). [hyper(20,a,3625,a,b,3973,a),flip(a)]. 3975 T(x,y) / T(y,y \ x) = y \ T(x,y). [para(3974(a,1),174(a,1,2))]. 3976 T(x,T(x,y) \ y) = T(x,x \ y). [para(3529(a,2),3974(a,1,2))]. 3977 T(x * y,x) / T(x,y) = x \ T(x * y,x). [para(16(a,1),3975(a,1,2,2))]. 3978 (x \ T(x,y)) \ z = (T(x,y) \ x) * z. [para(3797(a,1),3695(a,1,1))]. 3979 (T(x,y) \ x) * z = x * (T(x,y) \ z). [hyper(3700,a,3978,a),flip(a)]. 3980 (T(x,y) \ x) * (T(x,y) * z) = x * z. [hyper(3494,a,3978,a),flip(a)]. 3981 (x \ T(x,y)) \ z = T(y,x) * (y \ z). [hyper(189,a,3571,a,b,3978,a)]. 3987 (T(x,y) \ x) \ z = T(x,y) * (x \ z). [hyper(75,a,17,a(flip),b,3980,a)]. 3988 T(x,y) * (x \ (T(y,x) * z)) = y * z. [hyper(189,a,3571,a,b,3980,a(flip)),flip(a)]. 3989 ((x * y) / x) \ (T(x,y) * z) = y \ (x * z). [hyper(75,a,3980,a(flip),b,3682,a),flip(a)]. 3991 T(x,y) * (T(y,x) * z) = x * (y * z). [para(3980(a,1),3546(a,1,2)),flip(a)]. 3992 x \ (((y * x) / y) * z) = T(x,y) \ (x * z). [hyper(75,a,3798,a(flip),b,3981,a(flip)),flip(a)]. 3993 T(x,y) * (T(y,x) * z) = (x * y) * L(z,y,x). [hyper(189,a,102,a,b,3991,a)]. 3994 (x * y) \ (x * (y * z)) = L(z,T(y,x),T(x,y)). [para(3991(a,1),3577(a,1,2))]. 3995 (x * (y * z)) \ ((x * y) * z) = a(T(x,y),T(y,x),z). [para(3991(a,1),3576(a,1,1))]. 3997 x \ (y * ((y \ x) * z)) = L(z,y \ x,T(y,x)). [hyper(3321,a,3989,a),flip(a)]. 3998 x \ (((y * x) / y) * z) = x * (T(x,y) \ z). [hyper(189,a,1000,a(flip),b,3992,a)]. 3999 ((x * y) / x) * (y \ z) = y * (T(y,x) \ z). [hyper(189,a,1105,a(flip),b,3998,a(flip)),flip(a)]. 4000 x * (T(x,y) \ x) != z | (y * x) / y = z. [para(3999(a,1),138(a,1))]. 4001 (x * y) \ (T(x,y) * z) = L(T(y,x) \ z,y,x). [hyper(432,a,3993,a)]. 4002 L(T(x,y) \ 1,x,y) = (y * x) \ T(y,x). [hyper(299,a,3993,a),flip(a)]. 4003 T(x,y) * (T(y,x) * z) != u | x * (y * z) = u. [para(3993(a,2),207(a,1))]. 4004 L(x,T(y,z),T(z,y)) = L(x,y,z). [hyper(355,a,3994,a),flip(a)]. 4005 L(x,y \ z,T(y,z / y)) = L(x,z / y,y). [para(115(a,1),4004(a,1,2))]. 4006 L(x,y \ z,T(y,z)) = L(x,y \ z,y). [hyper(577,a,3997,a),flip(a)]. 4007 (x * (y / x)) \ (T(x,y / x) * z) = L((x \ y) \ z,y / x,x). [para(115(a,1),4001(a,2,1,1))]. 4008 T(x,T(y,x)) * (T(y,x) * z) != u | x * (y * z) = u. [para(3521(a,2),4003(a,1,1))]. 4009 a(T(x,y),T(y,x),z) = a(x,y,z). [hyper(553,a,3995,a),flip(a)]. 4010 a(T(x,y),T(y,x),z) != u | a(x,y,z) = u. [para(3995(a,1),553(a,1))]. 4011 (R(x,y,z) * T(u,x)) * T(x,u) = (R(x,y,z) * u) * x. [hyper(189,a,382,a(flip),b,3795,a)]. 4012 T(x * y,x) * T(x,y) = (R(x,y,x) * y) * x. [para(930(a,1),4011(a,1,1))]. 4013 (R(x,y,x) * y) * x = (x * y) * R(x,y,x). [hyper(189,a,3673,a(flip),b,4012,a(flip))]. 4014 (R(x,y,x) * y) \ ((x * y) * R(x,y,x)) != z | z = x. [para(4013(a,1),237(a,1,2))]. 4015 L(K(x \ y,x) * z,K(x,x \ y),y) = (x * (y / x)) \ (y * z). [para(3889(a,1),3948(a,1,1))]. 4016 (x * (y / x)) \ (T(x,x \ y) * z) = L((x \ y) \ z,y / x,x). [para(3533(a,1),4007(a,1,2,1))]. 4017 K(x \ 1,x) * T(y,x) = x * (T((x \ 1) \ 1,y) \ y). [para(2671(a,1),3554(a,1,2))]. 4018 T(x * K(y \ 1,y),y) = y * (T((y \ 1) \ 1,x) \ x). [hyper(189,a,2493,a,b,4017,a(flip)),flip(a)]. 4019 ((T((x \ 1) \ 1,y) \ x) * T((x \ 1) \ 1,y)) * (T((x \ 1) \ 1,y) \ y) = y * T(y \ T(y * K(x \ 1,x),x),T((x \ 1) \ 1,y)). [para(4018(a,2),1244(a,2,2,1,2))]. 4020 (x * T(y,x)) / T((x \ y) * x,x) = T(x,T(x,y) \ y). [para(3525(a,1),3624(a,1,1,2))]. 4021 (x * y) / T((y \ x) * y,y) = T(y,T(y,x) \ x). [para(113(a,1),4020(a,1,1))]. 4022 (x * y) / T((y \ x) * y,y) = T(y,y \ x). [hyper(189,a,3976,a(flip),b,4021,a)]. 4023 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(3704(a,2),333(a,1))]. 4024 T(1 / x,y) * ((x \ 1) \ z) = (x * T(1 / x,y)) * z. [para(2699(a,1),3812(a,1,1)),flip(a)]. 4025 (T(1 / x,y) * z) / ((x * T(1 / x,y)) * z) = x \ 1. [para(4024(a,1),3012(a,1,2))]. 4026 T(1 / x,y) * ((x * T(1 / x,y)) \ z) = (x \ 1) * z. [para(4025(a,1),210(a,1,1)),flip(a)]. 4027 T(x,y \ 1) * (x \ (y * (T(y \ 1,x) * z))) = L(z,T(y \ 1,x),y). [hyper(189,a,3987,a(flip),b,3629,a(flip)),flip(a)]. 4028 L(R(x,y,x),y,R(x,y,x)) = x. [hyper(4014,a,3764,a)]. 4029 (x * (K(y,x) * z)) \ (x * (K(y,x) * (z * u))) = L(u,z,x * K(y,x)). [para(3828(a,1),3834(a,1,2))]. 4030 x * (T(y,x \ 1) * (y \ (T(x \ 1,y) * z))) = L(z,T(x \ 1,y),x). [hyper(189,a,3810,a(flip),b,4027,a(flip)),flip(a)]. 4031 L(x,T(y \ 1,z),y) = y * ((y \ 1) * x). [para(3988(a,1),4030(a,1,2)),flip(a)]. 4032 L(x,T(y \ 1,z),y) = L(x,y \ 1,y). [hyper(189,a,166,a(flip),b,4031,a)]. 4034 L(T(1 / x,y) \ z,x \ 1,x) = (x * T(1 / x,y)) \ (x * z). [hyper(189,a,3210,a(flip),b,4032,a(flip))]. 4036 T((x \ 1) * (x * ((y * z) / y)),y) = T(1 / x,y) * ((x * T(1 / x,y)) \ (x * z)). [para(4034(a,1),3047(a,2,2))]. 4037 (x * T(T(x,x \ y) * (x \ y),z)) / y = (x / y) * T(x * (y / x),z). [para(975(a,1),3756(a,1,1,2,1))]. 4038 (x * T(x * (y / x),z)) / y = (x / y) * T(x * (y / x),z). [para(3336(a,1),4037(a,1,1,2,1))]. 4039 ((x \ 1) \ y) * T(x \ 1,y) = (y / x) / (x \ 1). [para(784(a,1),3688(a,1,1)),flip(a)]. 4040 (x * (K(y,x) * z)) \ (x * (K(y,x) * (z * u))) = L(L(u,z,x),x * z,K(y,x)). [para(3841(a,1),3846(a,1,2))]. 4041 L(L(x,y,K(z,u)),K(z,u) * y,K(u,z)) = y \ (y * x). [para(3887(a,1),3912(a,2,2))]. 4042 L(L(x,y,K(z,u)),K(z,u) * y,K(u,z)) != w | w = x. [para(4041(a,2),237(a,1))]. 4044 L(L(x,y,z),z * y,K(u,z)) = L(x,y,z * K(u,z)). [hyper(189,a,4029,a(flip),b,4040,a(flip))]. 4045 T((x \ 1) * (x * ((y * z) / y)),y) = (x \ 1) * (x * z). [hyper(189,a,4026,a(flip),b,4036,a)]. 4046 L((x \ 1) * y,K(x,x \ 1),z) = (x \ 1) * (x * (x \ y)). [hyper(3442,a,4045,a)]. 4048 L((x \ 1) * y,K(x,x \ 1),z) = (x \ 1) * y. [hyper(189,a,89,a(flip),b,4046,a)]. 4050 (x * ((1 / y) * z)) / ((y \ 1) * z) = x * K(y,y \ 1). [para(4048(a,1),2430(a,1,2))]. 4051 R(x,K(y \ 1,y),(1 / y) * z) = K(y \ 1,y) * (x * K(y,y \ 1)). [para(4050(a,1),3455(a,1,2)),flip(a)]. 4053 R(x,K(y \ 1,y),(1 / y) * z) = x. [hyper(189,a,2481,a(flip),b,4051,a)]. 4057 R(x,K(y \ 1,y),z) = x. [para(17(a,1),4053(a,1,3))]. 4060 R(x,y,K(z \ 1,z)) = x. [hyper(189,a,3434,a(flip),b,4057,a(flip)),flip(a)]. 4061 (x * K(y \ 1,y)) * z = x * (K(y \ 1,y) * z). [para(4057(a,1),110(a,1,1)),flip(a)]. 4067 x / (y * K(z \ 1,z)) = K(z,z \ 1) * (x / y). [hyper(189,a,3242,a(flip),b,4060,a(flip)),flip(a)]. 4068 (x * y) * K(z \ 1,z) = x * (y * K(z \ 1,z)). [para(4060(a,1),110(a,1,1)),flip(a)]. 4069 x \ (y * K(z \ 1,z)) = (x \ y) * K(z \ 1,z). [para(4060(a,1),370(a,1,1))]. 4071 (x * y) \ ((x * (y * z)) * K(u \ 1,u)) = L(z,y,x) * K(u \ 1,u). [para(4060(a,1),400(a,1,1))]. 4072 R(x,y,K(z,z \ 1)) = x. [para(1536(a,1),4060(a,1,3))]. 4073 R(x,y,1 / z) = R(x,y,z \ 1). [hyper(3030,a,4072,a)]. 4076 T(x,y * K(z,z \ 1)) = T(x,y). [hyper(189,a,3232,a(flip),b,4072,a(flip))]. 4077 (x * y) * K(z,z \ 1) = x * (y * K(z,z \ 1)). [para(4072(a,1),110(a,1,1)),flip(a)]. 4079 R(x,y,1 / (1 / z)) = R(x,y,z). [para(69(a,1),4073(a,2,3))]. 4082 T(x,K(y \ 1,y) * z) = T(x,z). [para(2486(a,1),4076(a,1,2)),flip(a)]. 4083 T(x,K(y,y \ 1) * z) = T(x,z). [para(2502(a,2),4076(a,1,2))]. 4087 T(K(x,x \ 1) * y,T(z,y)) != u | T(K(x,x \ 1) * y,z) = u. [para(4083(a,1),3594(a,1,2))]. 4088 K(x \ 1,x) * (y * z) = y * (K(x \ 1,x) * z). [hyper(3245,a,4061,a)]. 4091 K(x,x \ 1) * (y * (z * K(x \ 1,x))) = y * z. [hyper(2499,a,4068,a)]. 4092 K(x \ 1,x) * (y * z) = y * (z * K(x \ 1,x)). [hyper(2477,a,4068,a)]. 4093 L(K(x \ 1,x),y,z) = K(x \ 1,x). [hyper(346,a,4068,a)]. 4095 (x * (y * K(z \ 1,z))) \ u = (x * y) \ (K(z,z \ 1) * u). [para(4068(a,1),3234(a,1,1))]. 4096 x / (y * (z * K(u \ 1,u))) = K(u,u \ 1) * (x / (y * z)). [para(4068(a,1),4067(a,1,2))]. 4098 a(x,y,K(z \ 1,z)) = 1. [hyper(37,a,4093,a)]. 4099 a(x,y,K(z,z \ 1)) = 1. [para(1536(a,1),4098(a,1,3))]. 4100 L(K(x,x \ 1),y,z) = K(x,x \ 1). [hyper(36,a,4099,a)]. 4101 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = K(x,x \ 1). [hyper(189,a,2950,a,b,4100,a(flip)),flip(a)]. 4104 (x \ (1 / y)) * K(y \ 1,y) = x \ (y \ 1). [para(1198(a,1),4069(a,1,2)),flip(a)]. 4105 (x \ (y * ((z \ 1) \ 1))) * K(z \ 1,z) = x \ (y * z). [para(2319(a,1),4069(a,1,2)),flip(a)]. 4106 x \ (K(y \ 1,y) * z) = (x \ z) * K(y \ 1,y). [para(2475(a,2),4069(a,1,2))]. 4107 K(x,x \ 1) * (y \ (x \ 1)) = y \ (1 / x). [hyper(2499,a,4104,a)]. 4108 (x \ (1 / R(y,z,u))) * K(y \ 1,y) = x \ (R(y,z,u) \ 1). [para(3174(a,1),4104(a,1,2))]. 4109 K(x,x \ 1) * (y * (K(x \ 1,x) * z)) = y * z. [hyper(3907,a,4088,a)]. 4110 x \ (K(y \ 1,y) * z) = K(y \ 1,y) * (x \ z). [hyper(432,a,4088,a)]. 4111 K(x \ 1,x) * (y \ 1) = y \ K(x \ 1,x). [hyper(299,a,4088,a),flip(a)]. 4116 K(x,x \ 1) * (y * (z / ((x \ 1) \ 1))) = y * (z / x). [para(2313(a,1),4091(a,1,2,2))]. 4117 K(x,x \ 1) * (y * z) = y * (K(x,x \ 1) * z). [para(2479(a,1),4091(a,1,2,2))]. 4118 K(x,x \ 1) * (y * ((1 / x) \ z)) = y * ((x \ 1) \ z). [para(2490(a,1),4091(a,1,2,2))]. 4119 K(x \ 1,x) * (y * T(x,z)) = y * T(1 / (1 / x),z). [para(2776(a,1),4092(a,2,2))]. 4120 (K(x,x \ 1) * y) \ z = (y \ z) * K(x \ 1,x). [hyper(189,a,3216,a,b,4106,a(flip)),flip(a)]. 4121 (K(x,x \ 1) * y) \ z = K(x \ 1,x) * (y \ z). [hyper(189,a,3216,a,b,4110,a(flip)),flip(a)]. 4122 x \ (K(y,y \ 1) * z) = K(y,y \ 1) * (x \ z). [hyper(432,a,4117,a)]. 4126 ((1 / x) \ y) * K(z \ 1,z) = (K(z,z \ 1) / x) \ y. [para(3194(a,1),4120(a,1,1)),flip(a)]. 4127 K(x \ 1,x) * ((x * y) \ z) = (((x \ 1) \ 1) * y) \ z. [para(2365(a,1),4121(a,1,1)),flip(a)]. 4128 x \ (K(y,y \ 1) * z) = (x \ z) * K(y,y \ 1). [hyper(189,a,2502,a(flip),b,4122,a)]. 4129 x \ (y * K(z,z \ 1)) = K(z,z \ 1) * (x \ y). [para(2502(a,1),4122(a,1,2))]. 4130 x \ (K(y,y \ 1) * z) != u | (x \ z) * K(y,y \ 1) = u. [para(4122(a,2),2520(a,1))]. 4131 (K(x \ 1,x) * y) \ z = K(x,x \ 1) * (y \ z). [hyper(189,a,3218,a,b,4129,a(flip)),flip(a)]. 4132 (x * y) \ ((x * (y * z)) * K(u,u \ 1)) = K(u,u \ 1) * L(z,y,x). [para(31(a,2),4129(a,2,2))]. 4133 K(x,x \ 1) * (((x \ 1) \ y) \ z) = ((1 / x) \ y) \ z. [para(2376(a,1),4131(a,1,1)),flip(a)]. 4135 T(x,y * ((1 / z) \ u)) = T(x,y * ((z \ 1) \ u)). [para(4118(a,1),4083(a,1,2)),flip(a)]. 4136 T(x,(K(y \ 1,y) * z) * ((u \ 1) \ w)) = T(x,K(y \ 1,y) * (z * ((1 / u) \ w))). [para(3184(a,1),4135(a,1,2)),flip(a)]. 4137 K(x \ 1,x) * (y * ((x \ z) \ z)) = y * T(1 / (1 / x),x \ z). [para(114(a,1),4119(a,1,2,2))]. 4138 K(x \ 1,x) * (y * ((1 / z) \ u)) = y * ((K(x,x \ 1) / z) \ u). [para(4126(a,1),4092(a,2,2))]. 4139 (x * y) \ (K(z,z \ 1) * (x * (K(z \ 1,z) * (y * u)))) = L(u,y * K(z \ 1,z),x). [hyper(3228,a,4095,a),flip(a)]. 4140 K(x \ 1,x) * (y / (z * (u * K(x \ 1,x)))) = y / (z * u). [hyper(3907,a,4096,a(flip))]. 4141 (1 / x) \ (1 / R(x,y,z)) = (x \ 1) \ (R(x,y,z) \ 1). [hyper(21,a,2490,a,b,4108,a)]. 4142 (1 / x) \ (1 / R(x,y,z)) = (x \ R(x,y,z)) \ 1. [hyper(189,a,2963,a(flip),b,4141,a)]. 4143 x / (K(y,y \ 1) * z) = K(y \ 1,y) * (x / z). [para(2480(a,1),4140(a,1,2,2)),flip(a)]. 4144 T(x,y) \ (K(z,z \ 1) * (x * y)) = T(K(z,z \ 1) * y,x). [hyper(4087,a,3260,a(flip)),flip(a)]. 4145 (T(x,y) \ (x * y)) * K(z,z \ 1) = T(K(z,z \ 1) * y,x). [hyper(4130,a,4144,a)]. 4146 T(K(x,x \ 1) * y,z) = T(y,z) * K(x,x \ 1). [para(3528(a,1),4145(a,1,1)),flip(a)]. 4147 T(K(x,x \ 1) * y,z) = K(x,x \ 1) * T(y,z). [hyper(189,a,2502,a,b,4146,a)]. 4149 K(x,x \ 1) * T(K(x,x \ 1) \ y,z) = T(y,z). [para(17(a,1),4147(a,1,1)),flip(a)]. 4151 T((x \ y) * x,z) / x = x \ T(y,z). [hyper(75,a,4149,a(flip),b,2029,a(flip)),flip(a)]. 4152 T(x * y,z) / y = y \ T(y * x,z). [para(16(a,1),4151(a,1,1,1,1))]. 4153 T((x \ y) * x,z) = (x \ T(y,z)) * x. [para(4151(a,1),19(a,1,1)),flip(a)]. 4154 x \ T(x * (y / x),z) = T(y,z) / x. [para(70(a,1),4151(a,1,1,1)),flip(a)]. 4155 (x \ T(y,z)) * x != u | T((x \ y) * x,z) = u. [para(4151(a,1),200(a,1,1)),flip(b)]. 4158 (x \ 1) * T((x \ 1) \ y,z) = T(y * x,z) / x. [hyper(189,a,729,a,b,4152,a),flip(a)]. 4159 x * (T(y * x,z) / x) = T(x * y,z). [para(4152(a,2),17(a,1,2))]. 4160 (x \ T(x * y,z)) * x = T(y * x,z). [para(4152(a,1),19(a,1,1))]. 4161 T(x \ T(x * y,z),x) = x \ T(y * x,z). [para(4152(a,1),115(a,1,1))]. 4166 T((x \ (y / z)) * x,z) = (x \ (z \ y)) * x. [para(115(a,1),4153(a,2,1,2))]. 4168 T(x * (y / x),z) = x * (T(y,z) / x). [para(4154(a,1),17(a,1,2)),flip(a)]. 4170 x \ T(T(x,y) * y,z) = T(x * y,z) / x. [para(3322(a,2),4154(a,1,2,1))]. 4171 T(x,y) \ T(x * (y / x),z) = T(y,z) / T(x,y). [para(3733(a,1),4154(a,1,2,1))]. 4172 (x \ y) * (T(y,z) / (x \ y)) = T((x \ y) * x,z). [para(17(a,1),4159(a,1,2,1,1))]. 4177 T((x * (y \ 1)) * y,z) = (T(x,z) * (y \ 1)) * y. [para(767(a,1),4160(a,1,1)),flip(a)]. 4178 T(x,y) \ T(z * (x / z),y) = K(z,z \ T(x,y)). [hyper(75,a,4168,a,b,3903,a)]. 4179 T(x * ((y / z) / x),z) = x * ((z \ y) / x). [para(115(a,1),4168(a,2,2,1))]. 4181 (x * T(x * (y / x),z)) / y = (T(x,x \ T(y,z)) / y) * T(y,z). [para(4168(a,2),3343(a,1,1,2))]. 4182 T(x * (y / x),z) \ T(y,z) = K(x \ T(y,z),x). [para(4168(a,2),3926(a,1,1))]. 4183 ((x \ (y / z)) * x) * z = z * ((x \ (z \ y)) * x). [para(4166(a,1),113(a,1,2)),flip(a)]. 4184 (x * ((y \ (x \ z)) * y)) / x = (y \ (z / x)) * y. [para(4166(a,1),143(a,1,1,2))]. 4185 (x * ((y / z) / x)) * z = z * (x * ((z \ y) / x)). [para(4179(a,1),113(a,1,2)),flip(a)]. 4186 (x \ K(y,z)) * x != u | T((x \ K(y,z)) * x,T(z,w)) = u. [para(2781(a,1),4155(a,1,1,2))]. 4187 ((x * ((y * x) \ y)) \ 1) * T(((x * ((y * x) \ y)) \ 1) \ (1 / ((y * x) \ y)),z) = T(x,z) / (x * ((y * x) \ y)). [para(1237(a,1),4158(a,2,1,1))]. 4188 T(x,y) \ T(T(x,y) * ((z * (x / z)) / T(x,y)),u) = T(z * (x / z),u) / T(T(x,y),z * (x / z)). [para(3781(a,1),4171(a,1,1))]. 4189 (x \ y) \ T((x \ y) * x,z) != u | T(y,z) / (x \ y) = u. [para(4172(a,1),237(a,1,2)),flip(b)]. 4190 R((x \ (y / z)) * x,z,z \ 1) / (z \ 1) = z * ((x \ (z \ y)) * x). [hyper(3257,a,4183,a)]. 4191 (x \ y) * ((z \ ((x \ y) \ y)) * z) = ((z \ x) * z) * (x \ y). [para(67(a,1),4183(a,1,1,1,2)),flip(a)]. 4192 x * (y * T(y \ (x \ z),y)) = ((y \ (z / x)) * y) * x. [para(113(a,2),4183(a,2,2)),flip(a)]. 4193 ((x \ R(1 / y,y,z)) * x) * (y * z) = (y * z) * ((x \ ((y * z) \ z)) * x). [para(141(a,2),4183(a,1,1,1,2))]. 4194 (x * ((y \ z) * y)) / x = (y \ ((x * z) / x)) * y. [para(16(a,1),4184(a,1,1,2,1,2))]. 4195 (x * ((y / (y * z)) / x)) * (y * z) = (y * z) * (x * (L(z \ 1,z,y) / x)). [para(140(a,2),4185(a,2,2,2,1))]. 4196 (x \ ((x * y) / x)) * x = (x \ y) * T(x,y). [hyper(3621,a,4194,a),flip(a)]. 4197 x \ (((x \ 1) * y) / (x \ 1)) = (x \ 1) * ((x \ y) / (x \ 1)). [hyper(3406,a,4194,a),flip(a)]. 4198 ((x \ 1) \ (((x \ 1) * y) / (x \ 1))) * (x \ 1) = (y / x) / (x \ 1). [hyper(189,a,4039,a(flip),b,4196,a)]. 4199 (x * y) * T((x * y) \ z,y) = ((y \ (z / x)) * y) * x. [hyper(189,a,713,a,b,4192,a(flip)),flip(a)]. 4200 x \ (((x \ 1) * y) / (x \ 1)) = ((x \ 1) * (x \ y)) * x. [hyper(189,a,476,a(flip),b,4197,a)]. 4201 x * (((x \ 1) * (x \ y)) * x) = ((x \ 1) * y) / (x \ 1). [para(4200(a,1),17(a,1,2))]. 4202 ((x \ 1) * y) / (x \ 1) != x * z | ((x \ 1) * (x \ y)) * x = z. [para(4201(a,1),22(a,1))]. 4203 (T(x,x \ T(y,z)) / y) * T(y,z) = (x / y) * T(x * (y / x),z). [hyper(189,a,4038,a(flip),b,4181,a(flip))]. 4204 x * ((((x \ 1) * y) / (x \ 1)) * (1 / x)) = (y / x) / (x \ 1). [hyper(189,a,1892,a(flip),b,4198,a(flip)),flip(a)]. 4205 x * (((x \ 1) * y) * K(x,x \ 1)) = (y / x) / (x \ 1). [para(2267(a,1),4204(a,1,2))]. 4206 (x / y) / (y \ 1) = y * ((1 / y) * x). [para(2507(a,1),4205(a,1,2)),flip(a)]. 4207 x * ((1 / x) * (y * x)) = y / (x \ 1). [para(18(a,1),4206(a,1,1)),flip(a)]. 4208 L(x,y,y \ 1) * y = x / (y \ 1). [hyper(2395,a,4207,a)]. 4209 x \ (y / (x \ 1)) = (1 / x) * (y * x). [hyper(80,a,4207,a)]. 4210 x * ((x \ 1) * y) = L(y,x,x \ 1). [hyper(21,a,651,a,b,4208,a),flip(a)]. 4211 L(x * y,y,y \ 1) = y * ((y \ x) * y). [para(486(a,1),4210(a,1,2)),flip(a)]. 4212 L(x,y,y \ 1) != z | L(x,y \ 1,y) = z. [para(4210(a,1),357(a,1))]. 4213 ((1 / x) * (y * x)) * x = ((x \ 1) * y) * (x * x). [para(4209(a,1),946(a,1,1))]. 4214 L(x * y,y,y \ 1) = x / (1 / y). [hyper(189,a,468,a(flip),b,4211,a)]. 4215 (x / y) / (1 / y) = L(x,y,y \ 1). [para(19(a,1),4214(a,1,1)),flip(a)]. 4216 L(x,y,y \ 1) * (1 / y) = x / y. [para(4215(a,1),19(a,1,1))]. 4218 (1 / x) * (x * y) != z | L(y,x \ 1,x) = z. [para(2374(a,2),4212(a,1))]. 4219 ((x \ 1) * y) / (x \ 1) = (1 / x) * (y * x). [hyper(21,a,688,a,b,4213,a),flip(a)]. 4220 L(T(x,y),y,y \ 1) = ((y \ 1) * x) / (y \ 1). [hyper(189,a,2384,a,b,4219,a),flip(a)]. 4221 ((x \ 1) * y) / (x \ 1) = x * ((x \ 1) * T(y,x)). [hyper(189,a,4210,a,b,4220,a(flip))]. 4222 ((x \ 1) * (x \ y)) * x = (x \ 1) * T(y,x). [hyper(4202,a,4221,a)]. 4223 T(x,y) = (y \ x) / (y \ 1). [hyper(652,a,4222,a(flip)),flip(a)]. 4224 T(x,y) = ((1 / y) * x) * y. [hyper(189,a,847,a(flip),b,4223,a)]. 4225 T(x,y) / y = (1 / y) * x. [hyper(76,a,4223,a,b,847,a(flip))]. 4227 T(x * y,x) = y / (x \ 1). [para(16(a,1),4223(a,2,1))]. 4228 T(x,y) * (y \ 1) = y \ x. [para(4223(a,2),19(a,1,1))]. 4229 x / T(y,x) = (1 / y) * x. [hyper(3550,a,4224,a)]. 4230 T((1 / x) \ y,x) = y * x. [hyper(189,a,91,a(flip),b,4224,a)]. 4231 (x * y) * (x \ 1) = T(y,x \ 1). [para(67(a,1),4224(a,2,1,1)),flip(a)]. 4232 T(x,y) = ((1 / x) * y) \ y. [para(4225(a,1),3553(a,1,1)),flip(a)]. 4233 x * (y / (x \ 1)) = (x * y) * x. [para(4227(a,1),113(a,1,2))]. 4234 T(T(x,y) * y,x) = ((x * y) / x) / (x \ 1). [para(3322(a,2),4227(a,1,1))]. 4235 K(x \ (y / (x \ 1)),x) = K(y,x). [para(4227(a,1),3677(a,1,1,2))]. 4236 K(x / (y \ 1),y) = K(y * x,y). [para(4227(a,1),3876(a,1,1))]. 4237 T(K(x,y) * z,K(x,y)) != u | z * K(x,y) = u. [para(4227(a,2),3943(a,1))]. 4238 x \ ((x * y) / x) = y * (x \ 1). [para(142(a,1),4228(a,1,1)),flip(a)]. 4240 x / T(y \ 1,x) = y * x. [hyper(189,a,126,a(flip),b,4229,a)]. 4241 (1 / x) * y != z | T(y,x) / x = z. [para(4229(a,1),3580(a,1))]. 4242 T(x \ y,x \ 1) = y * (x \ 1). [para(67(a,1),4230(a,1,1,1))]. 4243 ((1 / x) \ y) * x = x * (y * x). [para(4230(a,1),113(a,1,2)),flip(a)]. 4244 T(x \ 1,y) = (x * y) \ y. [para(67(a,1),4232(a,2,1,1))]. 4245 T(x \ 1,x) = 1 / x. [hyper(189,a,1888,a(flip),b,4244,a)]. 4246 T(x \ 1,x \ y) = y \ (x \ y). [hyper(189,a,245,a(flip),b,4244,a)]. 4247 T((x / y) \ 1,y) = x \ y. [para(19(a,1),4244(a,2,1))]. 4248 T(T(x,y) \ 1,y \ 1) = (y \ x) \ (y \ 1). [para(4228(a,1),4244(a,2,1))]. 4249 ((x \ 1) \ 1) \ 1 = 1 / x. [hyper(3540,a,4245,a)]. 4250 1 / (1 / x) = (x \ 1) \ 1. [para(4245(a,1),633(a,1,2))]. 4251 ((x / y) \ 1) * y = y * (x \ y). [para(4247(a,1),113(a,1,2)),flip(a)]. 4252 K((x / y) \ 1,y) = K(x \ y,y). [para(4247(a,1),3876(a,1,1)),flip(a)]. 4253 T((x \ 1) \ 1,y) \ 1 = 1 / T(x,y). [para(2095(a,1),4249(a,1,1))]. 4254 K(1 / x,y) != z | K(x \ 1,y) = z. [para(4249(a,1),2659(a,1,1))]. 4255 ((x \ 1) \ 1) \ 1 != y | 1 / x = y. [para(4250(a,1),236(a,1,1)),flip(b)]. 4256 ((1 / x) * y) * (1 / x) = (1 / x) * (y / x). [para(69(a,1),4233(a,1,2,2)),flip(a)]. 4257 K(x * (y \ 1),y) = K(y \ x,y). [para(18(a,1),4235(a,1,1,2)),flip(a)]. 4258 ((x * y) / x) \ x = x * (y \ 1). [hyper(189,a,3697,a,b,4238,a(flip)),flip(a)]. 4259 x * (y * (x \ 1)) = (x * y) / x. [para(4238(a,1),17(a,1,2))]. 4260 (x \ 1) * (y * (x \ 1)) = (x \ y) * (x \ 1). [para(4242(a,1),113(a,1,2))]. 4261 L(x,y,x) * y = (1 / x) \ y. [hyper(21,a,3599,a,b,4243,a),flip(a)]. 4262 K(x \ (y \ x),y \ x) = K(y \ 1,y \ x). [para(4246(a,1),3876(a,1,1))]. 4263 ((x \ 1) \ y) / y = ((x \ y) / y) \ 1. [hyper(76,a,3631,a(flip),b,4251,a)]. 4264 K(x * (1 / y),y) = K(y \ x,y). [hyper(189,a,3123,a,b,4257,a(flip)),flip(a)]. 4265 x * (T(y,x) \ 1) = y \ x. [para(143(a,1),4258(a,1,1)),flip(a)]. 4266 T(K(x,y),z) \ 1 = T(K(y,x),z). [hyper(147,a,3889,a(flip),b,4265,a),flip(a)]. 4267 T(x,y) \ 1 = y \ (x \ y). [hyper(80,a,4265,a),flip(a)]. 4268 T(T(x,y) \ 1,y \ 1) = (x \ y) * (y \ 1). [para(4265(a,1),4231(a,1,1)),flip(a)]. 4269 T(x,y) = 1 / (y \ (x \ y)). [para(4267(a,1),67(a,1,2)),flip(a)]. 4270 x / (T(y,x) \ 1) = (1 / y) \ x. [para(4267(a,2),3641(a,1,2))]. 4271 ((x * y) \ y) \ 1 = y \ ((x \ 1) \ y). [para(4244(a,1),4267(a,1,1))]. 4272 T(x / y,x) = 1 / (x \ y). [para(69(a,1),4269(a,2,2,2))]. 4273 ((x \ y) * x) * (y \ 1) = K(x \ y,x). [hyper(20,a,3777,a(flip),b,4259,a)]. 4274 ((x * y) / x) * L(z,y * (x \ 1),x) = x * ((y * (x \ 1)) * z). [para(4259(a,1),102(a,1,1))]. 4275 K((x \ 1) \ y,x \ 1) = K(y * x,x \ 1). [para(67(a,1),4264(a,1,1,2)),flip(a)]. 4276 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(4266(a,1),369(a,1,2)),flip(a)]. 4277 x / (T(y \ 1,x) \ 1) = y \ x. [para(67(a,1),4270(a,2,1))]. 4278 x / ((y \ x) \ 1) = (y / x) \ x. [para(4247(a,1),4277(a,1,2,1))]. 4279 ((x / y) \ y) \ y = (x \ y) \ 1. [para(4278(a,1),69(a,1,1))]. 4281 L(x,y,y \ 1) != z | T(y * x,y) / y = z. [para(2374(a,1),4241(a,1))]. 4282 K(x,y) != z | K((x \ 1) \ 1,y) = z. [para(67(a,1),4254(a,1,1))]. 4284 L(K(x,y),z,u) \ 1 != w | 1 / L(K(x,y),z,u) = w. [para(2194(a,1),4255(a,1,1))]. 4285 x / (1 / T(y,x)) = (y \ 1) \ x. [para(4253(a,1),4277(a,1,2))]. 4286 ((x \ 1) \ y) \ y = 1 / T(x,y). [para(4285(a,1),69(a,1,1))]. 4287 1 / T(x,x \ y) = T(x \ 1,y). [hyper(189,a,3691,a(flip),b,4286,a(flip))]. 4288 x / (1 / T(y,x)) != z | (y \ 1) \ x = z. [para(4286(a,1),246(a,1,2)),flip(b)]. 4289 ((x \ y) * x) / y = K(x \ y,x). [hyper(189,a,3465,a(flip),b,4273,a(flip)),flip(a)]. 4290 K(x \ (x * y),x) = (y * x) * ((x * y) \ 1). [para(16(a,1),4273(a,1,1,1)),flip(a)]. 4291 K(x \ y,x) * y = (x \ y) * x. [para(4289(a,1),19(a,1,1))]. 4293 K(x,x \ y) * ((x \ y) * x) = y. [hyper(3907,a,4291,a)]. 4294 x / ((y \ x) * y) = K(y,y \ x). [para(4291(a,1),3905(a,1,2))]. 4295 (x \ y) * K(x,x \ y) = y / x. [hyper(76,a,4293,a(flip),b,3832,a),flip(a)]. 4296 K(x,x \ y) * (x \ y) = y / x. [hyper(76,a,4293,a(flip),b,3820,a),flip(a)]. 4298 (x * (y / x)) / y = K(x,x \ y). [hyper(189,a,3805,a,b,4294,a(flip)),flip(a)]. 4301 K(x,x \ y) / (y / x) = 1 / (x \ y). [para(4295(a,1),2937(a,1,2))]. 4302 (x \ y) * (K(x,x \ y) * z) = (y / x) * z. [para(4295(a,1),3828(a,1,1)),flip(a)]. 4303 K(x,x \ y) * ((x \ y) * z) = (y / x) * z. [para(4295(a,1),3832(a,1,1)),flip(a)]. 4304 (x / y) * ((y \ x) \ z) = K(y,y \ x) * z. [para(4295(a,1),3840(a,1,1))]. 4305 (x \ y) * K(x,y / x) = y / x. [para(3873(a,2),4295(a,1,2))]. 4308 K(x \ y,x) * ((x \ y) \ z) = (y / x) \ z. [para(4295(a,1),3968(a,1,1)),flip(a)]. 4310 (x * K(x \ y,x)) \ y = y / x. [hyper(189,a,3968,a,b,4296,a(flip)),flip(a)]. 4312 K(x,y / x) * (x \ y) = y / x. [para(3873(a,2),4296(a,1,1))]. 4314 K(x,x \ y) * y = x * (y / x). [para(4298(a,1),19(a,1,1))]. 4318 x / (x / y) = y * K(y \ x,y). [para(4310(a,1),67(a,1,2))]. 4320 T(x,K(y,y \ x)) = x. [hyper(3947,a,4314,a)]. 4321 K(x \ y,x) * (x * (y / x)) = y. [hyper(3907,a,4314,a)]. 4323 (x * (y / x)) \ (K(x,x \ y) * (y * z)) != u | L(z,y,K(x,x \ y)) = u. [para(4314(a,1),355(a,1,1))]. 4324 K(x,y / x) * y = x * (y / x). [para(3873(a,2),4314(a,1,1))]. 4325 x / (x / y) = K(y \ x,y) * y. [hyper(189,a,2754,a,b,4318,a)]. 4326 ((x \ y) * x) \ (y / (y / x)) = y \ x. [hyper(75,a,4318,a,b,1209,a)]. 4329 (x * y) / ((x * y) / x) = x * K(y,x). [para(16(a,1),4318(a,2,2,1))]. 4331 (x \ y) * K((x \ y) \ y,x \ y) = y / x. [para(67(a,1),4318(a,1,2)),flip(a)]. 4334 R(x * K(x \ y,x),z,u) * (y / x) = (y / x) * R(x,z,u). [para(4318(a,1),514(a,1,1,1))]. 4335 T(x,y) * K(T(x,y) \ y,T(x,y)) = y / (T(y,x) / x). [para(3523(a,2),4318(a,1,2)),flip(a)]. 4336 T(x * K(x \ y,x),y) = L(x,x \ y,x). [para(4318(a,1),3643(a,1,1))]. 4337 T(x,y) / (T(x,y) / y) = y * K(y \ x,y). [para(3678(a,1),4318(a,2,2))]. 4340 (x / (x / y)) \ 1 = y \ K(y,y \ x). [para(4318(a,2),3900(a,1,1))]. 4343 ((x * (y / x)) \ T((x * (y / x)) * K(x \ y,x),z)) * (x * (y / x)) = T(y,z). [para(4321(a,1),4160(a,2,1))]. 4344 K(x,y \ 1) * (y \ x) = x * ((y \ x) / x). [para(3738(a,1),4324(a,1,1))]. 4345 K(x,x \ y) * (y / (y / x)) = x. [hyper(3907,a,4325,a(flip))]. 4350 K(x,y) = T(y,x) \ y. [hyper(3389,a,4329,a),flip(a)]. 4351 K(x,y) = T(y,T(x,y)) \ y. [hyper(3938,a,4350,a)]. 4352 K(x \ (x / y),x) = K(y \ 1,x). [hyper(189,a,3567,a,b,4350,a),flip(a)]. 4353 K(x,y) = (x * y) / (y * x). [hyper(189,a,3502,a,b,4350,a)]. 4354 K(x,y) = ((y * x) / y) \ x. [hyper(189,a,3290,a,b,4350,a)]. 4355 K(x,y) = (1 / T(y,x)) * y. [hyper(189,a,2743,a,b,4350,a)]. 4356 K(x,y) = y / T(y,x). [hyper(189,a,2742,a,b,4350,a)]. 4357 K(x,y) = (T(y,x) \ 1) * T(y,y \ 1). [hyper(189,a,2540,a,b,4350,a)]. 4358 K(x,y) = y * (T(y,x) \ 1). [hyper(189,a,987,a,b,4350,a)]. 4359 x * T(x \ 1,y) = K(x \ 1,y). [hyper(189,a,3568,a(flip),b,4350,a),flip(a)]. 4360 K(x,y) = x \ T(x,y). [hyper(189,a,3542,a(flip),b,4350,a)]. 4362 K(x,y) / y = 1 / T(y,x). [hyper(76,a,4350,a,b,2743,a)]. 4363 (T(x,y) \ 1) \ K(y,x) = T(x,x \ 1). [hyper(75,a,4350,a,b,2540,a)]. 4364 T(x,y) \ 1 = x \ K(y,x). [hyper(75,a,4350,a,b,987,a),flip(a)]. 4365 T(x,y) * K(y,x) = x. [para(4350(a,2),17(a,1,2))]. 4366 R(T(x,y),z,u) \ R(x,z,u) = K(y,R(x,z,u)). [para(45(a,2),4350(a,2,1)),flip(a)]. 4367 T(x,y) = x / K(y,x). [para(4350(a,2),67(a,1,2)),flip(a)]. 4369 (x \ 1) * K(y,x) = T(x,y) \ 1. [para(4350(a,2),2738(a,1,2))]. 4370 K(x,y) * T(y,x) = y. [para(4350(a,2),2745(a,1,1))]. 4371 T(x,y) = K(y,x) \ x. [para(4350(a,2),2746(a,1,1)),flip(a)]. 4372 K(x,y) * ((y * x) / y) = x. [para(4350(a,2),3291(a,1,1))]. 4373 K(x,y) * (y * x) = x * y. [para(4350(a,2),3500(a,1,1))]. 4374 T(x * K(y,x),y) = x. [para(4350(a,2),3543(a,1,1,2))]. 4375 (x * y) / x = y * K(x,y). [para(4350(a,2),3544(a,2,2))]. 4376 x * (K(x,y) * z) = T(x,y) * z. [para(4350(a,2),3546(a,1,2,1))]. 4377 T(x,y) * (x \ z) = K(x,y) * z. [para(4350(a,2),3571(a,2,1))]. 4378 K(x / y,z) * x = y * T(y \ x,z). [para(4350(a,2),3623(a,1,1))]. 4379 ((x * y) / x) \ x = y \ (x * K(y,x)). [para(4350(a,2),3683(a,1,2,2)),flip(a)]. 4381 x * ((y \ (x \ y)) * y) = y * K(x \ 1,y). [para(4350(a,2),3630(a,1,2)),flip(a)]. 4382 x * (T(x,y) \ z) = K(y,x) * z. [para(4350(a,2),3979(a,1,1)),flip(a)]. 4383 K(x,y) * (T(y,x) * z) = y * z. [para(4350(a,2),3980(a,1,1))]. 4384 x * K(y,x) != z | (y * x) / y = z. [para(4350(a,2),4000(a,1,2))]. 4385 T(x,y) / T(T(x,z),y) = K(z,T(x,y)). [para(41(a,1),4356(a,2,2)),flip(a)]. 4386 K(x,y) \ y != z | T(y,x) = z. [para(4356(a,2),236(a,1,1)),flip(b)]. 4387 ((x \ (y * T(x,z))) * x) / T(x,z) = K(z,x) * T((x / T(x,z)) \ y,x). [para(4356(a,2),1579(a,1,1)),flip(a)]. 4388 x * ((y * (x \ 1)) / y) = K(y,x \ 1). [hyper(189,a,3285,a,b,4360,a),flip(a)]. 4390 K(x,y) = (1 / x) * T(x,y). [hyper(189,a,2802,a,b,4360,a)]. 4391 K(x,y) = T(x,y) * (x \ 1). [hyper(189,a,773,a,b,4360,a)]. 4392 x * T(x \ 1,y) = K(1 / x,y). [hyper(189,a,765,a(flip),b,4360,a),flip(a)]. 4393 x \ K(y,x \ 1) = (y * (x \ 1)) / y. [hyper(75,a,4360,a,b,3285,a)]. 4395 K(x \ (x * y),z) = y \ T(y,z). [hyper(189,a,1215,a,b,4360,a(flip)),flip(a)]. 4396 T(x,y) = x * K(x,y). [para(4360(a,2),17(a,1,2)),flip(a)]. 4397 L(x,y,z) \ L(T(x,u),y,z) = K(L(x,y,z),u). [para(43(a,2),4360(a,2,2)),flip(a)]. 4398 R(x,y,z) \ R(T(x,u),y,z) = K(R(x,y,z),u). [para(45(a,2),4360(a,2,2)),flip(a)]. 4399 x * K(x,y) != z | T(x,y) = z. [para(4360(a,2),203(a,1,2)),flip(b)]. 4401 K(x,y) * ((x \ 1) \ z) = z * T(z \ ((x \ 1) \ z),y). [para(4360(a,2),918(a,1,1))]. 4402 K(a(x,y,z),z \ L(z,y,x)) = a(x,y,z) \ ((a(x,y,z) \ 1) \ 1). [para(2218(a,1),4360(a,2,2))]. 4403 T(x,y) = K(x,y) * x. [para(4360(a,2),2799(a,1,1)),flip(a)]. 4404 K(x,y) * x != z | T(x,y) = z. [para(4360(a,2),2803(a,1,1))]. 4405 (x * K(y,x)) * y = y * x. [para(4360(a,2),3279(a,1,1,2))]. 4407 K(x,y) * (x * z) = T(x,y) * z. [para(4360(a,2),3477(a,1,1))]. 4408 x \ T(x,x * y) = K(x,y * x). [para(3507(a,1),4360(a,2,2)),flip(a)]. 4412 T(x,y) * (K(y,x) * z) = x * z. [para(4365(a,1),3837(a,1,1)),flip(a)]. 4413 x \ T(x,y) != z | K(x,y) = z. [para(4365(a,1),3922(a,1,1))]. 4414 T(x,y) != z | x * K(x,y) = z. [para(4367(a,2),3930(a,1))]. 4415 x / T(x,y) != z | K(y,x) = z. [para(4370(a,1),248(a,1,1)),flip(b)]. 4416 T(x,(y \ x) \ 1) = T(x,x \ y). [hyper(189,a,3651,a,b,4371,a),flip(a)]. 4417 T(x,y) = (K(y,x) / x) \ 1. [hyper(189,a,3079,a,b,4371,a)]. 4419 K(x \ y,x) * R(T(x,x \ y),z,u) = y \ ((R(x,z,u) * (x \ y)) * x). [para(4371(a,2),2021(a,1,2,1))]. 4420 T(T(x * K(y,x),z),y) = T(x,z). [para(4374(a,1),41(a,1,1)),flip(a)]. 4422 (x * y) / x != z | y * K(x,y) = z. [para(4374(a,1),250(a,1,1,2)),flip(b)]. 4423 T(x * K(y,x),z) * y = y * T(x,z). [para(4374(a,1),158(a,1,2,1)),flip(a)]. 4424 T(x * K(y,x),z) = (y * T(x,z)) / y. [para(4374(a,1),178(a,1,1,2,1)),flip(a)]. 4425 L(x * K(y,x),z,u) * y = y * L(x,z,u). [para(4374(a,1),159(a,1,2,1)),flip(a)]. 4426 R(x * K(y,x),z,u) * y = y * R(x,z,u). [para(4374(a,1),160(a,1,2,1)),flip(a)]. 4427 R(T(x * K(y,x),z),u,w) * y = y * R(T(x,z),u,w). [para(4374(a,1),509(a,1,2,1,1)),flip(a)]. 4428 T(x * K(y,x),R(x * K(y,x),z,u) * y) = L(x,y,R(x * K(y,x),z,u)). [para(4374(a,1),1287(a,1,1)),flip(a)]. 4429 K(x,y * K(x,y)) = K(x,y). [para(4374(a,1),3874(a,1,2)),flip(a)]. 4430 K(x * K(y,x),y) = K(x,y). [para(4374(a,1),3876(a,1,1)),flip(a)]. 4431 T(x * K(y,x),T(y,x)) = x. [para(3876(a,1),4374(a,1,1,2))]. 4432 x * K(K(y,z),x) = T(x,K(z,y)). [para(4374(a,1),3959(a,1,1)),flip(a)]. 4433 x * K(x,y \ x) = T(x,x / y). [hyper(3341,a,4396,a),flip(a)]. 4436 T(x,y) != x * z | K(x,y) = z. [para(4396(a,2),22(a,1))]. 4440 (x * y) * K(y,z) != u * T(y,z) | R(x,y,K(y,z)) = u. [para(4396(a,2),376(a,2,2))]. 4442 (1 / x) * K(x \ 1,y) = T(1 / x,y). [para(2647(a,1),4396(a,2,2)),flip(a)]. 4443 T(x,T((y \ 1) \ 1,z)) = T(x,y * K(y,z)). [para(4396(a,1),2676(a,2,2))]. 4444 T(x,y) / (y \ x) = y * K(x,y). [hyper(76,a,4403,a,b,3840,a)]. 4445 T(K(x,y),z) * K(y,x) = K(K(x,y),z). [hyper(3929,a,4403,a(flip))]. 4446 K(L(x,y,z),u) * L(x,y,z) = L(T(x,u),y,z). [hyper(189,a,43,a,b,4403,a(flip))]. 4448 R(T(x,y),z,u) / R(x,z,u) = K(R(x,z,u),y). [hyper(76,a,45,a,b,4403,a(flip))]. 4451 x * (K(y,x) * y) = y * x. [para(4403(a,1),113(a,1,2))]. 4453 (x * K(y,z)) \ (x * T(y,z)) != u | L(y,K(y,z),x) = u. [para(4403(a,2),355(a,1,2,2))]. 4455 (T(x,y) * y) / T(x,y) = y * K(x,y). [para(4351(a,2),3544(a,2,2))]. 4457 R(T(K(x,y),(y * x) * z),y * x,z) = ((y * x) * z) \ ((x * y) * z). [para(4353(a,2),720(a,1,1,1))]. 4458 (x * y) \ T((x * y) * K(y,x),z) = T(y * x,z) / (x * y). [para(4353(a,2),4154(a,1,2,1,2))]. 4459 K(x,x \ 1) / ((y * x) \ y) = 1 / T((y * x) \ y,x). [hyper(76,a,1990,a(flip),b,4355,a(flip))]. 4461 T(x \ 1,y) * x = K(x \ y,x). [para(4287(a,1),4355(a,2,1)),flip(a)]. 4462 L(T(x \ y,z) \ 1,x \ y,x) = y \ (x * K(z,x \ y)). [para(4358(a,2),103(a,1,2,2)),flip(a)]. 4463 K(x,y) * T(K(y,x),z) = K(z,K(x,y)). [para(4266(a,1),4358(a,2,2)),flip(a)]. 4465 ((x \ y) \ y) \ 1 = x \ K(x \ y,x). [hyper(189,a,523,a(flip),b,4364,a(flip)),flip(a)]. 4466 T(x,y) = 1 / (x \ K(y,x)). [para(4364(a,1),67(a,1,2)),flip(a)]. 4467 1 / (x \ K(y,x)) != z | T(x,y) = z. [para(4364(a,1),246(a,1,2)),flip(b)]. 4468 (x * y) / x = K(x,y) * y. [hyper(3907,a,4372,a),flip(a)]. 4469 K(x,y) = x / ((y * x) / y). [hyper(88,a,4372,a),flip(a)]. 4470 K(L(x,y,z),z * y) * ((z * (y * x)) / (z * y)) = L(x,y,z). [para(102(a,1),4372(a,1,2,1))]. 4472 K(L(x,y,z),z * y) * (z * (y * x)) = L(x,y,z) * (z * y). [para(102(a,1),4373(a,1,2))]. 4473 (x * (y * x)) / (x * y) = x * K(y,x). [para(4373(a,1),3829(a,1,1,2))]. 4474 (x * y) * K(T(y,x),x * y) = T(y,x * y) * T(x,y). [hyper(3813,a,4375,a),flip(a)]. 4475 T(x,y) * K(x * y,T(x,y)) = R(x,y,x). [hyper(3666,a,4375,a),flip(a)]. 4476 T((x * y) / x,z) = T(y,z) * K(x,T(y,z)). [hyper(332,a,4375,a)]. 4477 (x \ 1) \ K(y,x) = (y * ((x \ 1) \ 1)) / y. [hyper(189,a,3086,a(flip),b,4375,a),flip(a)]. 4478 (x * y) \ ((x * y) / x) = L(x \ 1,x,y). [hyper(75,a,4375,a,b,1214,a)]. 4479 x * ((y * z) / y) = x * (z * K(y,z)). [hyper(24,a,4375,a)]. 4480 x \ T(x * y,y) = y * K(x * y,y). [hyper(189,a,3338,a(flip),b,4375,a(flip)),flip(a)]. 4481 (x * y) / x != y * z | K(x,y) = z. [para(4375(a,2),22(a,1))]. 4482 T(x * K(y,x),y) != z | z = x. [para(4375(a,1),242(a,1,1))]. 4483 ((x * y) * z) / R(x,y,z) = (y * z) * K(R(x,y,z),y * z). [para(110(a,1),4375(a,1,1))]. 4484 R(x * K(y,x),y,z) = ((y * x) * z) / (y * z). [para(4375(a,1),111(a,1,1))]. 4485 T(x * K(y,x),x * y) = L(x,y,x). [para(4375(a,1),563(a,1,1))]. 4486 T(T(x * K(y,x),z),y) != u | T(x,z) = u. [para(4375(a,1),548(a,1,1,1))]. 4487 T(x * K(y * x,x),y) = R(x,y,x). [para(4375(a,1),603(a,2,1)),flip(a)]. 4488 L(x * K(y,x),z,u) = (y * L(x,z,u)) / y. [para(4375(a,1),662(a,1,1))]. 4489 R(x * K(y,x),z,u) = (y * R(x,z,u)) / y. [para(4375(a,1),670(a,1,1))]. 4490 L(x * K(y * z,x),z,y) = (y * (z * x)) / (y * z). [para(4375(a,1),663(a,1,1))]. 4491 ((x * y) * L(y,z,u)) / (x * L(y,z,u)) = y * K(x * L(y,z,u),y). [para(1248(a,1),4375(a,1,1))]. 4492 ((x * y) * T(y,z)) / (x * T(y,z)) = y * K(x * T(y,z),y). [para(1476(a,1),4375(a,1,1))]. 4493 ((x * y) * R(y,z,u)) / (x * R(y,z,u)) = y * K(x * R(y,z,u),y). [para(1643(a,1),4375(a,1,1))]. 4494 ((x * y) * R(T(x,y),z,u)) / (R(x,z,u) * y) = T(x,y) * K(R(x,z,u) * y,T(x,y)). [para(1664(a,1),4375(a,1,1))]. 4496 ((x * y) / x) * z = y * (K(x,y) * z). [para(4375(a,2),3828(a,1,1))]. 4497 ((x * y) / x) \ 1 = y \ K(y,x). [para(4375(a,2),3900(a,1,1))]. 4499 (x \ (y * K(x,y))) * x = (x \ y) * T(x,y). [para(4375(a,1),4196(a,1,1,2))]. 4503 (x * T(y,z)) \ (x * K(y,z)) != u | L(y \ 1,T(y,z),x) = u. [para(4391(a,2),355(a,1,2,2))]. 4504 T(x,y) * K(y * R(x,z,u),T(x,y)) = R(x,y,R(x,z,u)). [hyper(21,a,1667,a,b,4405,a)]. 4505 T(x,y) * K(y * x,T(x,y)) = R(x,y,x). [hyper(21,a,614,a,b,4405,a)]. 4506 ((x * y) * z) / (x * z) != u | R(y * K(x,y),x,z) = u. [para(4405(a,1),385(a,1,1,1))]. 4507 L(x * K(y,x),K(x * K(y,x),y),z) = (z * K(x,y)) \ (z * x). [para(4430(a,2),3904(a,1,2))]. 4508 L(x * K(y,x),z,u) * T(y,x) = T(y,x) * L(x,z,u). [para(4431(a,1),159(a,1,2,1)),flip(a)]. 4509 (x * y) \ (y * (K(x,y) * (x * z))) = L(z,x,y * K(x,y)). [para(4451(a,1),4029(a,1,1))]. 4510 ((x * ((y * z) / y)) / x) / ((x * z) / x) = K(y,(x * z) / x). [hyper(76,a,760,a,b,4468,a(flip))]. 4511 K(x,y) / x = 1 / ((y * x) / y). [hyper(76,a,4469,a,b,1594,a)]. 4513 L(x,y,z) \ L(T(x,u),y,z) != w | K(L(x,y,z),u) = w. [para(43(a,2),4413(a,1,2))]. 4514 R(x,y,z) \ R(T(x,u),y,z) != w | K(R(x,y,z),u) = w. [para(45(a,2),4413(a,1,2))]. 4516 x * T(x \ 1,y) != z | K(x \ 1,y) = z. [para(2638(a,1),4413(a,1))]. 4517 K(x \ (x / y),x) != z | K(y \ 1,x) = z. [para(2641(a,2),4413(a,1))]. 4519 T(x,y) / T(T(x,z),y) != u | K(z,T(x,y)) = u. [para(41(a,1),4415(a,1,2))]. 4520 R(x * T(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). [hyper(2012,a,4352,a)]. 4521 L(x * T(x \ 1,y),z,u) = K(L(x,z,u) \ 1,y). [hyper(189,a,1973,a,b,4352,a(flip)),flip(a)]. 4522 T(x * T(x \ 1,y),z) = K(T(x,z) \ 1,y). [hyper(189,a,1374,a,b,4352,a(flip)),flip(a)]. 4523 x \ (y * T(y \ x,z)) = K((x \ y) \ 1,z). [hyper(189,a,1075,a(flip),b,4352,a(flip)),flip(a)]. 4524 x * T(x \ y,z) = y * K((y \ x) \ 1,z). [para(4352(a,1),1074(a,2,2))]. 4525 (x \ y) * K(((x \ y) \ (x \ 1)) \ 1,z) = x \ T(y,z). [para(4352(a,1),1077(a,1,2))]. 4526 K((x / y) \ 1,z) * y = x * T(x \ y,z). [para(4352(a,1),1584(a,1,1))]. 4527 ((x \ (1 / y)) * x) * y = K((x * y) \ 1,x). [hyper(189,a,1165,a(flip),b,4359,a(flip)),flip(a)]. 4528 (x * y) * T((x * y) \ x,z) = x * K(y \ 1,z). [para(4359(a,1),569(a,2,2))]. 4530 K(x \ 1,y) * (x \ z) = z * T(z \ (x \ z),y). [para(4359(a,1),909(a,1,1))]. 4531 (x * y) * T((x * y) \ y,z) = K(x \ 1,z) * y. [para(4359(a,1),1119(a,2,1))]. 4532 x * (y * T(y \ (x \ y),z)) = K(x \ 1,z) * y. [para(4359(a,1),1125(a,2,1))]. 4533 (x * y) * (z * T(z \ L(y \ z,y,x),u)) = (x * K(y \ 1,u)) * z. [para(4359(a,1),1858(a,2,1,2))]. 4534 (T(1 / x,y) \ 1) / K(y,1 / x) = x. [hyper(76,a,4369,a(flip),b,131,a(flip))]. 4535 (x * (y \ 1)) \ (x * (T(y,z) \ 1)) = L(K(z,y),y \ 1,x). [para(4369(a,1),31(a,2,2,2)),flip(a)]. 4536 K(x,y) = (T(x,y) \ 1) \ (x \ 1). [para(4369(a,1),3918(a,1,1)),flip(a)]. 4537 (T(x,y) \ 1) \ (x \ 1) != z | K(x,y) = z. [para(4369(a,1),3922(a,1,1))]. 4539 K(x,K(y,z)) * K(z,y) = T(K(z,y),x). [hyper(147,a,3958,a(flip),b,4376,a),flip(a)]. 4540 x \ (T(x,y) * z) = K(x,y) * z. [hyper(80,a,4376,a)]. 4541 K(x,y) * (T(x,y) \ z) = x \ z. [hyper(75,a,17,a(flip),b,4376,a),flip(a)]. 4542 K(x,y) * (z * x) = T(x,y) * T(z,x). [hyper(20,a,981,a,b,4376,a)]. 4543 K(x,y) * T(y,y * x) = L(y,x,y). [hyper(20,a,3720,a(flip),b,4376,a)]. 4544 (x * ((K(x,y) * z) * u)) \ ((T(x,y) * z) * u) = a(x,K(x,y) * z,u). [para(4376(a,1),27(a,2,2,1)),flip(a)]. 4545 x * (K(y,x) * K(x,z)) = T(x,z) * K(y,x). [para(1959(a,1),4376(a,1,2))]. 4546 (K(x,y) * z) \ T(T(x,y) * z,x) != u | R(x,K(x,y) * z,x) = u. [para(4376(a,1),3672(a,1,2,1))]. 4547 (x \ y) / (T(x,z) \ y) = K(x,z). [hyper(1007,a,4377,a)]. 4548 (x \ y) * T((x \ y) \ y,z) = K(x,z) * y. [hyper(735,a,4377,a)]. 4550 (K(x,y) * z) / (x \ z) = T(x,y). [hyper(88,a,4377,a)]. 4551 x \ (K(y,x) * z) = T(x,y) \ z. [hyper(75,a,3887,a(flip),b,4377,a),flip(a)]. 4552 x * (K(x,y) * (x \ z)) = K(x,y) * z. [hyper(189,a,4376,a,b,4377,a(flip)),flip(a)]. 4553 (x * y) / (T(x,z) * y) = K(z,x). [hyper(76,a,3988,a(flip),b,4377,a(flip))]. 4555 (K(x,y) * z) / (x \ z) != u | T(x,y) = u. [para(4377(a,1),248(a,1,1)),flip(b)]. 4556 (x * y) \ (y * (K(x,y) * z)) = L(x \ z,T(x,y),y). [para(4377(a,1),153(a,1,2,2))]. 4557 K(x,y) * T(x,z) = T(x,y) * K(x,z). [para(4360(a,2),4377(a,1,2)),flip(a)]. 4558 K(x,y) * (y \ z) = T(y,x) \ z. [hyper(1006,a,4382,a),flip(a)]. 4561 K(x,y) * (y \ z) != u | T(y,x) \ z = u. [para(4382(a,1),1006(a,1))]. 4562 K(x,y) * T(T(y,x),z) = y * K(T(y,x),z). [para(4360(a,2),4382(a,1,2)),flip(a)]. 4563 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(4383(a,1),348(a,1,1)),flip(a)]. 4564 K(x,y) * (x * z) != u | T(x,y) * z = u. [para(4383(a,1),3914(a,1,2)),flip(b)]. 4566 K(x \ (x * y),z) != u | K(y,z) = u. [para(4395(a,2),4413(a,1))]. 4569 K(x,y) \ (z * T(x,y)) = x * T(z,T(x,y)). [hyper(75,a,113,a(flip),b,4407,a)]. 4570 x \ (T(x,y) * y) = y * K(x,y). [hyper(75,a,4407,a(flip),b,3715,a(flip))]. 4571 T(x,y) * (x \ z) != u | K(x,y) * z = u. [para(4407(a,1),254(a,1))]. 4572 ((T(x,y) * z) * u) / ((x * z) * u) != w | R(K(x,y),x * z,u) = w. [para(4407(a,1),385(a,1,1,1))]. 4574 (T(x,y) * z) \ (K(x,y) * (x * (z * u))) = L(L(u,z,x),x * z,K(x,y)). [para(4407(a,1),348(a,1,1))]. 4576 K(x,y * x) = K(x,x * y). [hyper(4413,a,4408,a),flip(a)]. 4577 K(x,y * x) != z | K(x,x * y) = z. [para(4408(a,1),4413(a,1))]. 4578 K(x,x * (y / x)) = K(x,y). [para(19(a,1),4576(a,1,2)),flip(a)]. 4579 K(x,T(y * x,z)) = K(x,T(x * y,z)). [para(4159(a,1),4578(a,1,2)),flip(a)]. 4580 K(x \ y,T((x \ y) * x,z)) = K(x \ y,T(y,z)). [para(4172(a,1),4578(a,1,2))]. 4581 K(x,y / z) * (z * T(z \ y,x)) = y. [hyper(1067,a,4412,a)]. 4583 T(x,y) * (K(y,x) * K(z,z \ x)) = z * (x / z). [hyper(189,a,3903,a(flip),b,4412,a)]. 4584 T(x,y) / (K(z,x) * K(x,y)) = T(x,z). [hyper(76,a,4396,a,b,4412,a)]. 4586 T(x,y) * z != x * u | K(y,x) * u = z. [para(4412(a,1),22(a,1)),flip(a)]. 4587 T(x,y) \ (x * z) != u | K(y,x) * z = u. [para(4412(a,1),237(a,1,2)),flip(b)]. 4588 T(x,x \ y) / (y \ x) = ((1 / (y \ x)) \ y) * (1 / (y \ x)). [para(4416(a,1),2698(a,1,1))]. 4591 K(K(x,y),z) = K(z,K(y,x)). [hyper(20,a,4396,a(flip),b,4432,a)]. 4592 T(T(x,K(y,z)),K(z,y)) != u | u = x. [para(4432(a,1),4482(a,1,1))]. 4593 K(x,K(y,z)) \ 1 = K(x,K(z,y)). [hyper(3952,a,4591,a)]. 4594 K(x,K(y,z)) \ 1 != u | K(x,K(z,y)) = u. [para(4591(a,1),3872(a,1,1))]. 4595 K(x,y) * K(z,K(y,x)) = T(K(x,y),z). [para(4591(a,1),4396(a,2,2)),flip(a)]. 4596 K(x,x / y) = K(x,y \ x). [hyper(20,a,4396,a(flip),b,4433,a),flip(a)]. 4597 K(x,(y \ x) \ x) = K(x,y). [para(67(a,1),4596(a,1,2)),flip(a)]. 4598 K(x,x / (x / y)) = K(x,y). [para(69(a,1),4596(a,2,2))]. 4599 K(x * y,T(y,x)) = K(x * y,y). [para(3555(a,2),4597(a,1,2))]. 4600 T(x * y,y) / T(x,y) = y * K(x * y,y). [para(35(a,2),4444(a,1,2))]. 4601 (x \ y) * T((x \ y) \ T(y,x),z) = T(x * K(y,x),z) * (x \ y). [para(4444(a,1),323(a,1,1,1)),flip(a)]. 4602 T(x \ 1,x * y) = K(y,x) / x. [hyper(76,a,1215,a(flip),b,4461,a),flip(a)]. 4603 (x \ 1) \ K(x \ y,x) = K(x \ 1,y) * x. [hyper(75,a,4461,a(flip),b,4376,a)]. 4604 1 / (x * K(y,x)) = K(x,y) / x. [para(4375(a,1),4511(a,2,2)),flip(a)]. 4605 (x \ K(y,x)) \ (x \ 1) = K(x,y). [para(4364(a,1),4536(a,2,1)),flip(a)]. 4606 K(x,y) * z != u | T(x,y) * (x \ z) = u. [para(4540(a,1),983(a,1))]. 4607 x \ y != K(x,z) * u | T(x,z) \ y = u. [para(4541(a,1),22(a,1))]. 4608 K(x,x \ y) * (((x \ y) \ y) \ z) = x \ z. [para(114(a,1),4541(a,1,2,1))]. 4610 (L(x,y,z) \ u) / (L(T(x,w),y,z) \ u) = K(L(x,y,z),w). [para(43(a,2),4547(a,1,2,1))]. 4613 (R(x,y,z) * u) / (R(T(x,w),y,z) * u) = K(w,R(x,y,z)). [para(45(a,2),4553(a,1,2,1))]. 4615 (T(x,y) * y) / ((T(x,y) * y) / x) = x * K(y * K(x,y),x). [para(4570(a,1),4318(a,2,2,1))]. 4616 K(x,K(y,z)) != u | K(K(z,y),x) = u. [para(4593(a,1),3872(a,1))]. 4617 K(x * y,y) = K(y * x,y). [hyper(3735,a,4599,a),flip(a)]. 4618 K(x / (y \ 1),y) = K(x * y,y). [hyper(189,a,4236,a,b,4617,a),flip(a)]. 4619 K(x * (y / x),x) = K(y,x). [para(19(a,1),4617(a,1,1)),flip(a)]. 4620 T(x * K(x * y,x),y * x) = x. [para(4617(a,1),4374(a,1,1,2))]. 4621 K(T(x,y) * y,x) = K(x * y,x). [para(3322(a,2),4619(a,1,1))]. 4622 K(T(x * (y / x),z),x) = K(T(y,z),x). [para(4168(a,2),4619(a,1,1))]. 4623 L(x,((y \ 1) \ y) \ y,z / T(y \ 1,(y \ 1) \ y)) = z \ ((z / (K(y,y) / y)) * ((((y \ 1) \ y) \ y) * x)). [para(4602(a,1),1967(a,1,2,1,2)),flip(a)]. 4624 (K(x,y) / x) \ 1 = x * K(y,x). [para(4604(a,1),69(a,1,1))]. 4625 L(x,y * K(x * y,y),x) = L(x,R(y,x,y),x). [para(4487(a,1),3724(a,1,2)),flip(a)]. 4626 T(x * K(x * y,x),y) = R(x,y,x). [para(4617(a,1),4487(a,1,1,2))]. 4627 T(x,x * y) * K(y,x) = L(x,y,x). [hyper(2760,a,4543,a)]. 4628 K((x / y) \ x,z) != u | K(y,z) = u. [para(19(a,1),4566(a,1,1,2))]. 4630 T(x * K(y,z),K(z,y)) != u | K(y,z) * x = u. [para(3955(a,1),4592(a,1,1)),flip(b)]. 4631 x \ K(x,x \ y) = y / (y * x). [hyper(3639,a,4340,a),flip(a)]. 4632 T((x \ K(x,x \ y)) \ 1,y * x) = y \ (y * x). [para(4631(a,2),4247(a,1,1,1))]. 4633 K(x,y) * K(y \ 1,y) = (T(y,x) \ 1) * y. [para(4357(a,2),2320(a,1,1))]. 4635 K(x \ 1,x) * K(y,x) = (T(x,y) \ 1) * x. [para(4357(a,2),2482(a,1,2))]. 4636 x * ((T(y,x) \ 1) * T(y,y \ 1)) = T(x,y). [para(4357(a,1),4396(a,2,2)),flip(a)]. 4637 (x * (y * T(y \ z,u))) / (x * z) = K((x * z) / (x * y),u). [hyper(76,a,712,a(flip),b,4378,a)]. 4639 x * T(x \ y,z) != y * u | T(K(y / x,z),y) = u. [para(4378(a,1),148(a,2)),flip(a)]. 4640 x / (y * T(y \ x,z)) = K(z,x / y). [para(4378(a,1),3905(a,1,2))]. 4641 (x * K(y,x)) \ y = x \ (y * K(x,y)). [para(4375(a,1),4379(a,1,1))]. 4642 T(x,y) / T(T(x,z \ x),y) = K(x / z,T(x,y)). [para(3327(a,1),4385(a,1,2,1))]. 4643 ((x * (1 / y)) / x) * y = K(x,y \ 1). [hyper(683,a,4388,a)]. 4646 T(x * ((y * (x \ 1)) / y),z) = K(y,T(x,z) \ 1). [hyper(189,a,1802,a(flip),b,4388,a(flip)),flip(a)]. 4647 K(x,y \ 1) / y = (x * (1 / y)) / x. [hyper(76,a,4388,a(flip),b,680,a)]. 4648 (x * y) * ((z * ((x * y) \ x)) / z) = x * K(z,y \ 1). [para(4388(a,1),1398(a,2,2))]. 4649 x * K(y,(x \ z) \ 1) = z * ((y * (z \ x)) / y). [para(4388(a,1),1414(a,1,2))]. 4650 (x * y) * ((z * ((x * y) \ y)) / z) = K(z,x \ 1) * y. [para(4388(a,1),1796(a,2,1))]. 4652 L(x,y,z) \ K(x,L(x,y,z) \ 1) = (L(x,y,z) \ x) / x. [para(964(a,1),4393(a,2,1))]. 4653 T(x,y) * K(z,T(x,y)) = T(x * K(z,x),y). [hyper(21,a,4405,a,b,4423,a),flip(a)]. 4654 T(x * K(y * R(x,z,u),x),y) = R(x,y,R(x,z,u)). [hyper(21,a,1667,a,b,4423,a)]. 4656 K(x,T(y,z)) * T(y,z) = T(y * K(x,y),z). [hyper(189,a,4468,a(flip),b,4424,a),flip(a)]. 4657 T(x * K(y,x),z) / T(x,z) = K(y,T(x,z)). [hyper(76,a,4424,a,b,4468,a(flip))]. 4658 T(x,y) \ T(x * K(z,x),y) = K(z,T(x,y)). [hyper(75,a,4424,a,b,4375,a(flip))]. 4659 T(x,T(y,z)) * T(y,z) = x * T(y * K(x,y),z). [para(4424(a,2),3322(a,2,2))]. 4660 T(x * K(y,x),z) \ T(x,z) = K(T(x,z),y). [para(4424(a,2),4354(a,2,1)),flip(a)]. 4661 T(x * K(y,x),z) != u | T(x,z) * K(y,T(x,z)) = u. [para(4424(a,2),4422(a,1))]. 4663 x * ((T(y,(z \ x) \ u) * (x \ (z * u))) / T(y,(z \ x) \ u)) = z * ((z \ x) * (((z \ x) \ u) * K(y,(z \ x) \ u))). [para(4455(a,1),1223(a,1,2,2)),flip(a)]. 4664 (x / ((y * z) / y)) * (z * K(y,z)) = x. [hyper(200,a,4479,a)]. 4665 T(T(x * y,y) / (T(x * y,y) / x),T(x * y,y)) = L(x,y * K(x * y,y),x). [para(4480(a,1),3643(a,2,2))]. 4666 (T(1 / x,y) \ 1) / K(y,x \ 1) = x. [para(3083(a,1),4534(a,1,2))]. 4667 T(K(x,y),z) * K(y,x) != u | K(z,K(y,x)) = u. [para(4539(a,1),3921(a,1,1)),flip(b)]. 4669 x * (K(x,y) * K(x,z)) = K(x,y) * T(x,z). [para(4360(a,2),4552(a,1,2,2))]. 4670 K(x,y) * T(x,z) != u | K(x,z) * T(x,y) = u. [para(4557(a,2),2664(a,1))]. 4671 K(x,y / (z \ 1)) * (z \ T(z * y,x)) = y. [para(729(a,1),4581(a,1,2))]. 4672 x / (K(y,x * K(z,x)) * K(x * K(z,x),z)) = T(x * K(z,x),y). [para(4374(a,1),4584(a,1,1))]. 4673 K(x,y) * T(K(y,x),z) != u | K(z,K(x,y)) = u. [para(4595(a,1),3914(a,1,2)),flip(b)]. 4674 K(T(T(x,y) * y,z),x) = K(T(x * y,z),x). [para(3322(a,2),4622(a,1,1,1))]. 4675 x / (y * (z * T(z \ (y \ x),u))) = K(u,x / (y * z)). [para(713(a,1),4640(a,1,2))]. 4676 x / (((y \ (x * z)) * y) / z) = K(y,x / (y / z)). [para(1579(a,1),4640(a,1,2))]. 4677 K(1 / x,y) / (1 / x) = 1 / (K(y,x \ 1) / x). [para(4647(a,2),4511(a,2,2))]. 4678 T(1 / x,y) \ 1 = x * K(y,x \ 1). [para(4666(a,1),19(a,1,1)),flip(a)]. 4683 L(x \ 1,T(x,y),y) = L(x \ 1,x,y). [hyper(189,a,3287,a(flip),b,4478,a(flip)),flip(a)]. 4684 T(x * L(x \ 1,x,y),y) = T(x,y) * ((x * y) \ y). [para(4683(a,1),1340(a,1,1,2))]. 4685 T(x,y) * K(x * y,x) = R(x,y,x). [para(3734(a,1),4505(a,1,2))]. 4686 K(x,y) * K(x * y,x) = x \ R(x,y,x). [hyper(75,a,4685,a(flip),b,4376,a),flip(a)]. 4687 x * (y * T(y \ (x \ 1),z)) != u | K((x * y) \ 1,z) = u. [para(713(a,1),4516(a,1))]. 4688 R(x * T(x \ 1,y),z,u) != w | K(R(x,z,u) \ 1,y) = w. [para(2013(a,1),4516(a,1))]. 4691 K(x,y) * (z * x) != u | T(x,y) * T(z,x) = u. [para(113(a,1),4564(a,1,2))]. 4692 T(x,y) * (T(x,z) \ u) != w | K(x,y) * (K(z,x) * u) = w. [para(4551(a,1),4571(a,1,2))]. 4693 K(K(x,y),z) != u | K(z,K(y,x)) = u. [para(3871(a,1),4594(a,1))]. 4695 K(x * y,x) * K(x,y) = x \ R(x,y,x). [hyper(1962,a,4686,a)]. 4696 K(x,y) * K(y * x,x) = x \ R(x,y,x). [para(4617(a,2),4686(a,1,2))]. 4697 K(x * y,y) * K(y,x) = y \ R(y,x,y). [para(4617(a,2),4695(a,1,1))]. 4698 T(T(x,y) * y,x) = x * ((1 / x) * (x * y)). [hyper(189,a,4206,a(flip),b,4234,a)]. 4699 L((x \ 1) \ y,x \ 1,((x * z) / x) / (x \ 1)) = ((x * z) / x) \ (T(T(x,z) * z,x) * y). [para(4234(a,2),364(a,2,2,1))]. 4700 (x \ y) \ (x \ 1) = (y \ x) * (x \ 1). [hyper(189,a,4248,a(flip),b,4268,a(flip)),flip(a)]. 4701 K(x * y,y \ 1) = K(y * x,y \ 1). [hyper(189,a,3743,a(flip),b,4275,a(flip))]. 4702 ((x \ 1) \ y) * (x \ 1) = y * K(y * x,x \ 1). [para(4275(a,1),213(a,1,2)),flip(a)]. 4703 K(x,y) = (x * y) * ((y * x) \ 1). [hyper(4566,a,4290,a)]. 4704 (x * y) \ K(x,y) = (y * x) \ 1. [hyper(75,a,1215,a(flip),b,4290,a(flip))]. 4707 K(x,x \ y) * ((y / x) \ z) = (x \ y) \ z. [hyper(75,a,17,a(flip),b,4302,a),flip(a)]. 4717 (x \ y) \ (y / (y / x)) = (y / x) \ x. [hyper(75,a,4345,a(flip),b,4304,a),flip(a)]. 4720 R(x \ y,(y / x) \ x,x \ y) = ((x \ y) \ (y / (y / x))) \ x. [para(4717(a,1),3674(a,1,2))]. 4726 K(x,y \ 1) * (y \ x) = y \ T(x,y \ 1). [hyper(189,a,3358,a,b,4344,a)]. 4727 (x \ T(y,x \ 1)) / (x \ y) = K(y,x \ 1). [hyper(76,a,3358,a,b,4344,a)]. 4728 (x * K(y \ 1,x)) / ((x \ (y \ x)) * x) = y. [hyper(88,a,4381,a)]. 4729 L(x,y,z) * K(u,L(x,y,z)) = L(x * K(u,x),y,z). [hyper(21,a,4405,a,b,4425,a),flip(a)]. 4730 L(L(x,y,z) * K(u,L(x,y,z)),w,v5) * u = u * L(L(x,w,v5),y,z). [para(48(a,1),4425(a,2,2))]. 4732 R(x,y,z) * K(u,R(x,y,z)) = R(x * K(u,x),y,z). [hyper(21,a,4405,a,b,4426,a),flip(a)]. 4734 T(x,y * K(y,z)) = T(x,T(y,z)). [hyper(189,a,2676,a(flip),b,4443,a(flip))]. 4735 K(x,y) * T((z * y) / z,x) = y * K(z,T(y,x)). [para(4476(a,2),4383(a,1,2))]. 4736 (((x * y) / x) \ 1) \ 1 = (y \ 1) \ K(x,y). [hyper(189,a,2116,a(flip),b,4477,a),flip(a)]. 4737 L(x * K(y,x),z,u) / L(x,z,u) = K(y,L(x,z,u)). [hyper(76,a,4488,a,b,4468,a(flip))]. 4738 L(x * K(y,x),z,u) \ L(x,z,u) = K(L(x,z,u),y). [para(4488(a,2),4354(a,2,1)),flip(a)]. 4739 L(x,y,z) / L(x * K(u,x),y,z) = K(L(x,y,z),u). [para(4488(a,2),4469(a,2,2)),flip(a)]. 4740 L(x * K(y,x),z,u) != L(x,z,u) * w | K(y,L(x,z,u)) = w. [para(4488(a,2),4481(a,1))]. 4741 R(x,y,z) \ R(x * K(u,x),y,z) = K(u,R(x,y,z)). [hyper(75,a,4489,a,b,4375,a(flip))]. 4742 R(x * K(y,x),z,u) \ y = R(x,z,u) \ ((R(x,z,u) * y) / R(x,z,u)). [para(4489(a,2),3697(a,1,1))]. 4743 R(x * K(y,x),z,u) \ R(x,z,u) = K(R(x,z,u),y). [para(4489(a,2),4354(a,2,1)),flip(a)]. 4744 R(x,y,z) / R(x * K(u,x),y,z) = K(R(x,y,z),u). [para(4489(a,2),4469(a,2,2)),flip(a)]. 4745 R(x,y,z) \ K(R(x,y,z),u) = R(x * K(u,x),y,z) \ 1. [para(4489(a,2),4497(a,1,1)),flip(a)]. 4746 R(x,y,z) * (K(u,R(x,y,z)) * w) = R(x * K(u,x),y,z) * w. [para(4489(a,2),4496(a,1,1)),flip(a)]. 4748 K(T(x,y) \ 1,z) = T(K(x \ 1,z),y). [para(4359(a,1),4522(a,1,1)),flip(a)]. 4749 K(T(1 / x,y) \ 1,z) = T(K(x,z),y). [para(69(a,1),4748(a,2,1,1))]. 4751 ((x * y) * z) \ ((x * z) * R(T(y,x * z),x,z)) = K((((x * y) * z) \ (x * z)) \ 1,x). [para(832(a,1),4523(a,1,2,2))]. 4752 (x * y) \ ((z * T(z \ x,u)) * y) = K(((x * y) \ (z * y)) \ 1,u). [para(1100(a,1),4523(a,1,2))]. 4753 x \ T(x * y,z) = y * K((y \ (x \ 1)) \ 1,z). [hyper(785,a,4524,a)]. 4754 (x * y) * K(((x * y) \ y) \ 1,z) = T(x,z) * y. [hyper(571,a,4524,a),flip(a)]. 4755 x * T(x \ y,z) != y * u | K((y \ x) \ 1,z) = u. [para(4524(a,2),22(a,1))]. 4756 K((x / y) \ 1,z) * y = y * K((y \ x) \ 1,z). [hyper(189,a,4524,a(flip),b,4526,a)]. 4757 K(((x \ 1) / (x \ y)) \ 1,z) * (x \ y) = x \ T(y,z). [hyper(189,a,771,a(flip),b,4526,a)]. 4759 (x * (y * T(y \ z,u))) / (x * z) = K(((x * y) / (x * z)) \ 1,u). [hyper(76,a,712,a(flip),b,4526,a)]. 4760 K((x / y) \ 1,z) = K(y / x,z). [hyper(21,a,4378,a,b,4526,a)]. 4761 x \ (y * T(y \ x,x)) = K((y / x) \ 1,x). [hyper(75,a,4526,a(flip),b,2754,a(flip))]. 4763 K((x / y) \ 1,x) = K(x \ y,x). [hyper(189,a,3896,a(flip),b,4760,a)]. 4764 K(x / y,x) = K(y \ x,x). [hyper(189,a,4252,a(flip),b,4760,a(flip))]. 4765 K(x / (y * x),z) = K(y \ 1,z). [para(18(a,1),4760(a,1,1,1)),flip(a)]. 4767 K((x \ y) / y,z) = K(x \ 1,z). [para(67(a,1),4760(a,1,1,1)),flip(a)]. 4768 K(x,(y / z) \ 1) = K(z / y,x) \ 1. [para(4760(a,1),3871(a,1,1)),flip(a)]. 4769 K(x \ (y \ x),x) = K(y \ 1,x). [para(67(a,1),4763(a,1,1,1)),flip(a)]. 4770 ((x \ y) / y) \ K(x \ 1,((x \ y) / y) \ 1) = 1 / ((x \ y) / y). [hyper(75,a,4767,a(flip),b,1535,a(flip))]. 4771 K(((x \ 1) \ y) / y,z) != u | K(x,z) = u. [para(4767(a,2),2659(a,1))]. 4772 K(x \ 1,y) * ((y \ (x \ y)) \ z) = ((x \ y) / y) \ z. [para(4769(a,1),4308(a,1,1))]. 4773 K(x,(y / z) \ 1) = K(x,z / y). [hyper(189,a,3871,a(flip),b,4768,a)]. 4774 K(x,(y / z) \ 1) != u | K(x,z / y) = u. [para(4768(a,2),3872(a,1))]. 4775 K(x,1 / (y / z)) = K(x,z / y). [hyper(189,a,3083,a,b,4773,a(flip)),flip(a)]. 4776 K(x,y / (z * y)) = K(x,z \ 1). [para(18(a,1),4773(a,1,2,1)),flip(a)]. 4777 K(x,(y \ z) / z) = K(x,y \ 1). [para(67(a,1),4773(a,1,2,1)),flip(a)]. 4778 K(x,((y \ z) / z) \ 1) = K(x,y). [para(67(a,1),4773(a,2,2))]. 4779 K(x,1 / (K(y,z) / u)) = K(x,u * K(z,y)). [para(3890(a,1),4775(a,2,2))]. 4782 K(x,R(y / z,z,u) \ 1) != w | K(x,(z * u) / (y * u)) = w. [para(111(a,2),4774(a,1,2,1))]. 4783 (x * K(y,x)) * K(x,z) = T(x,z) * K(y,x). [hyper(3836,a,4545,a)]. 4784 (x \ y) * T((x \ y) \ y,z) != y * u | T(K(x,z),y) = u. [para(4548(a,2),148(a,2)),flip(a)]. 4785 (x \ 1) \ K(x \ y,x) = x * K(x \ 1,y). [hyper(189,a,1155,a(flip),b,4603,a)]. 4787 K(x \ y,x) * (x \ z) != u | ((x \ y) \ y) \ z = u. [para(4608(a,1),3914(a,1,2)),flip(b)]. 4789 ((T(x,y) \ 1) * x) * T((x \ 1) \ 1,z) = K(y,x) * T(x,z). [para(4633(a,1),2885(a,1,1))]. 4790 x * (K(y,y \ 1) * ((T(y,x) \ 1) * y)) = T(x,y). [para(2500(a,2),4636(a,1,2))]. 4791 T(x,y) \ T(x * K(z,x),y) != u | K(z,T(x,y)) = u. [para(4653(a,1),237(a,1,2)),flip(b)]. 4792 (x * y) \ (y * T(x * K(z,x),y)) = L(K(z,T(x,y)),T(x,y),y). [para(4653(a,1),153(a,1,2,2))]. 4793 T(x,y) * K(z,T(x,x * (y / x))) = T(x * K(z,x),x * (y / x)). [para(3510(a,1),4653(a,1,1))]. 4795 T(x * K(T(x,y) \ z,x),y) \ z = z / T(x,y). [para(4653(a,1),4310(a,1,1))]. 4796 T(R(x,y,x),z) / T(T(x,y),z) = K(x * y,T(T(x,y),z)). [para(4475(a,1),4657(a,1,1,1))]. 4797 T(T(x * K(y,x),z),u) / T(T(x,z),u) = K(y,T(T(x,z),u)). [para(4653(a,1),4657(a,1,1,1))]. 4798 T(x,y) * K(z,T(x,y)) != u | T(x * K(z,x),y) = u. [para(4658(a,1),203(a,1,2)),flip(b)]. 4799 T(x,y) \ T(x * K(x * z,x),y) = K(z * x,T(x,y)). [para(4617(a,1),4658(a,1,2,1,2))]. 4800 K(x,y) * T(x,z) != x * u | K(x,y) * K(x,z) = u. [para(4669(a,1),22(a,1))]. 4801 T(x,T(T(x,y) * y,z)) = K(T(x * y,z),x) \ x. [para(4674(a,1),4371(a,2,1))]. 4803 (x \ y) / (x \ T(y,x \ 1)) = K(x \ 1,y). [para(4726(a,1),3905(a,1,2))]. 4804 (x * K((x / y) \ 1,x)) / ((x \ y) * x) = x / y. [para(69(a,1),4728(a,1,2,1,2))]. 4805 (x \ K(x,y)) \ 1 = (x \ 1) \ K(y,x). [para(4497(a,1),4736(a,1,1))]. 4806 T(T(x,y) * z,K(x,y)) != u | (x * z) * K(x,y) = u. [para(4407(a,1),4237(a,1,1))]. 4807 K(x \ R(x,y,z),R(x,u,w)) = R(x,u,w) \ R(x,u,w). [para(3255(a,1),4366(a,1,1,1)),flip(a)]. 4808 K(R(x,y,z),x \ R(x,u,w)) = R(x,y,z) \ R(x,y,z). [para(3255(a,1),4398(a,1,2,1)),flip(a)]. 4811 (R(T(x,y),z,u) * (z * u)) / ((x * z) * u) = R(K(R(x,z,u),y),R(x,z,u),z * u). [para(4448(a,1),397(a,1,1)),flip(a)]. 4812 R(x * K(y,x),y,x) = x * K(y * x,x). [hyper(189,a,4375,a(flip),b,4484,a)]. 4813 ((x * K(y,x)) * y) / L(x,y,x * K(y * x,x)) = (R(x * K(y,x),y,x) * y) / x. [para(4812(a,1),1272(a,1,2,3))]. 4814 R(x * K(y,x),y,x) = x * K(x * y,x). [para(4617(a,1),4812(a,2,2))]. 4815 R(T(x * K(y,x),z),y,x) = T(x * K(x * y,x),z). [para(4814(a,1),45(a,2,1))]. 4818 R(K(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). [para(4359(a,1),4520(a,1,1))]. 4819 K(R(x,y,z) \ 1,u) * (y * z) = (K(x \ 1,u) * y) * z. [para(4818(a,1),110(a,1,1))]. 4820 K(R(x \ 1,y,z) \ 1,u) = R(K(x,u),y,z). [para(2648(a,1),4818(a,1,1)),flip(a)]. 4821 K(x,R(y \ 1,z,u) \ 1) = R(K(y,x),z,u) \ 1. [para(4820(a,1),3871(a,1,1)),flip(a)]. 4822 K(x,R(y \ 1,z,u) \ 1) * w = R(K(y,x),z,u) \ w. [para(4820(a,1),3889(a,1,1)),flip(a)]. 4823 T(K(x,R(y \ 1,z,u) \ 1),w) = T(R(K(y,x),z,u),w) \ 1. [para(4820(a,1),4266(a,1,1,1)),flip(a)]. 4824 L(K(x \ 1,y),z,u) = K(L(x,z,u) \ 1,y). [para(4359(a,1),4521(a,1,1))]. 4825 L(K(1 / x,y),z,u) = K(L(x,z,u) \ 1,y). [para(4392(a,1),4521(a,1,1))]. 4826 K(L(x,y,z) \ 1,x) = K(x \ 1,x). [hyper(189,a,4093,a(flip),b,4824,a(flip))]. 4827 (x * y) * K(L(z,y,x) \ 1,u) = x * (y * K(z \ 1,u)). [para(4824(a,1),102(a,1,2))]. 4828 K(L(x,y,z) \ 1,(x \ 1) * L((x \ 1) \ 1,u,w)) = L(1,y,z). [para(1342(a,1),4824(a,1,1)),flip(a)]. 4829 K(L(x \ 1,y,z) \ 1,u) = L(K(x,u),y,z). [para(2648(a,1),4824(a,1,1)),flip(a)]. 4830 K(L(T(1 / x,y),z,u) \ 1,w) = L(T(K(x,w),y),z,u). [para(4749(a,1),4824(a,1,1)),flip(a)]. 4831 (L(x,y,z) \ x) \ ((L(x,y,z) \ 1) * x) = K(x \ 1,x). [hyper(189,a,969,a,b,4826,a(flip)),flip(a)]. 4832 L(K(1 / x,y),z,u) = K(1 / L(x,z,u),y). [hyper(189,a,2647,a,b,4825,a)]. 4833 K(x,L(y \ 1,z,u) \ 1) = L(K(y,x),z,u) \ 1. [para(4829(a,1),3871(a,1,1)),flip(a)]. 4834 (x * K(L(y \ 1,z,u) \ 1,w)) \ x = L(K(y,w),z,u) \ 1. [para(4829(a,1),3868(a,2,1))]. 4835 L(K(1 / x,y),z,u) != w | K(L(x,z,u) \ 1,y) = w. [para(4832(a,2),4254(a,1))]. 4836 ((x * y) * T((x * y) \ x,z)) * y = (x * y) * K(y \ 1,z). [hyper(189,a,1100,a(flip),b,4528,a(flip)),flip(a)]. 4837 K(x,y) * ((1 / x) \ z) = z * T(z \ ((1 / x) \ z),y). [para(69(a,1),4530(a,1,1,1))]. 4838 (x * y) \ (K(x \ 1,z) * y) = T((x * y) \ y,z). [hyper(80,a,4531,a)]. 4839 ((1 / x) * y) * T(((1 / x) * y) \ y,z) = K(x,z) * y. [para(69(a,1),4531(a,2,1,1))]. 4840 x * (y \ T(y * (x \ (y \ 1)),z)) = K(x \ 1,z) * (y \ 1). [para(729(a,1),4532(a,1,2))]. 4842 K(x \ y,T((x \ y) * x,z)) = K(x \ y,T(y,T(z,y))). [para(3521(a,2),4580(a,2,2))]. 4843 T((x \ 1) \ K(x \ y,x),y * x) = y \ (y * x). [para(4805(a,1),4632(a,1,1))]. 4844 K(x / y,T(x,z)) = K(y \ x,T(x,z)). [hyper(4519,a,4642,a),flip(a)]. 4846 K(x,T(y,z) \ 1) = T(K(x,y \ 1),z). [para(4388(a,1),4646(a,1,1)),flip(a)]. 4847 K(x,T(1 / y,z) \ 1) = T(K(x,y),z). [para(69(a,1),4846(a,2,1,2))]. 4848 x * K(y,T(z,x) \ 1) = K(y,z \ 1) * x. [para(4846(a,2),113(a,1,2))]. 4851 K(x,y * K(z,y \ 1)) = T(K(x,y),z). [para(4678(a,1),4847(a,1,2))]. 4852 K(x,y * K(y * z,y \ 1)) = T(K(x,y),z * y). [para(4701(a,1),4851(a,1,2,2))]. 4853 K(x,(y / z) \ 1) * z = z * K(x,(z \ y) \ 1). [para(115(a,1),4848(a,1,2,2,1)),flip(a)]. 4854 x * K(y,x \ (z \ x)) = K(y,z \ 1) * x. [para(4267(a,1),4848(a,1,2,2))]. 4856 K(x,(y / z) \ 1) * y = y * K(x,y \ z). [para(69(a,1),4854(a,1,2,2,2)),flip(a)]. 4858 x * ((x \ y) * K(z,x \ y)) = y * K(z,(y \ x) \ 1). [hyper(189,a,4479,a(flip),b,4649,a),flip(a)]. 4859 (((x \ y) \ 1) \ x) * ((x \ y) \ 1) = x * K(y,(x \ y) \ 1). [para(17(a,1),4702(a,2,2,1))]. 4860 x * (y * K((y \ (x \ 1)) \ 1,z)) = T(x * y,z). [para(4753(a,1),17(a,1,2))]. 4861 T(x,T(T(x,y) * y,z)) = T(x,T(x * y,z)). [hyper(189,a,4371,a,b,4801,a)]. 4862 K(R(x,y,z),T(T(x,u) * u,w)) = R(T(x,T(x * u,w)),y,z) / R(x,y,z). [para(4861(a,1),4448(a,1,1,1)),flip(a)]. 4863 (x * K(x \ y,x)) / ((x \ y) * x) = x / y. [para(4763(a,1),4804(a,1,1,2))]. 4864 (x / (x / y)) / ((y \ x) * y) = y / x. [para(4318(a,2),4863(a,1,1))]. 4865 (x / y) \ (y / (y / x)) = (x \ y) * x. [para(4864(a,1),69(a,1,1))]. 4866 L(x,K(L(y \ 1,z,u) \ 1,w),L(K(y,w),z,u) \ 1) = x. [para(4833(a,1),3888(a,1,3))]. 4867 (x * y) * T((x * y) \ y,z) != u | K(x \ 1,z) * y = u. [para(4838(a,1),203(a,1,2)),flip(b)]. 4868 T(x * K(x \ 1,y),y * x) = y \ (y * x). [para(4785(a,1),4843(a,1,1))]. 4869 T(x * K(x \ 1,y),y * x) = x. [hyper(189,a,16,a(flip),b,4868,a)]. 4871 (x * K(x \ 1,y)) / x != z | K(y * x,x * K(x \ 1,y)) = z. [para(4869(a,1),4415(a,1,2))]. 4872 T(K(x,y),z * y) = T(K(x,y),y * z). [hyper(189,a,4851,a(flip),b,4852,a(flip))]. 4873 T(K(x,y),z * y) * K(y,x) = K(K(x,y),y * z). [para(4872(a,2),4445(a,1,1))]. 4874 x * K(y,(x \ z) \ 1) = K(y,x / z) * x. [para(4773(a,1),4853(a,1,1)),flip(a)]. 4875 T(K(x,y / z),y) = K(x,(y \ z) \ 1). [hyper(148,a,4874,a)]. 4876 K(x,y) * (z * K((z \ K(y,x)) \ 1,u)) = T(K(x,y) * z,u). [para(3871(a,1),4860(a,1,2,2,1,1,2))]. 4877 K(K(x,y),y * z) = K(z * y,K(y,x)). [hyper(4667,a,4873,a),flip(a)]. 4878 K(x * y,K(y,z)) = K(y * x,K(y,z)). [hyper(4693,a,4877,a),flip(a)]. 4880 L(T(x,y) \ 1,x,y) = (x * y) \ y. [hyper(1924,a,4684,a)]. 4881 (x * y) \ T(x,y) = (y * x) \ x. [hyper(189,a,4002,a(flip),b,4880,a(flip)),flip(a)]. 4882 a(1 / (x * y),x,y) \ T((1 / (x * y)) * x,y) = (y * ((1 / (x * y)) * x)) \ ((1 / (x * y)) * x). [para(167(a,1),4881(a,1,1))]. 4883 L(x * K(y,x),z,u) / L(x,z,u) != w | K(y,L(x,z,u)) = w. [para(4729(a,1),2757(a,1,1))]. 4884 L(x * K(y,x),z,u) \ L(x,z,u) != w | K(L(x,z,u),y) = w. [para(4729(a,1),3922(a,1,1))]. 4886 R(x * K(y,x),z,u) \ R(x,z,u) != w | K(R(x,z,u),y) = w. [para(4732(a,1),3922(a,1,1))]. 4888 K(R(x,y,z),T(x,u) * u) = R(x,y,z) / R(x * K(x * u,x),y,z). [para(4621(a,1),4744(a,1,2,1,2)),flip(a)]. 4891 T(x,x \ y) \ z != u | ((x \ y) \ y) \ z = u. [para(4558(a,1),4787(a,1))]. 4892 T(x,x \ y) \ R(T(z,z \ u),w,v5) != v6 | ((x \ y) \ y) \ R((z \ u) \ u,w,v5) = v6. [para(836(a,2),4891(a,1))]. 4893 T((x * y) / x,z) != u | T(y * K(x,y),z) = u. [para(4476(a,2),4798(a,1))]. 4894 L(K(x \ 1,y),z,u) != w | K(L(x,z,u) \ 1,y) = w. [para(2647(a,1),4835(a,1,1))]. 4895 T(x * K(T(x,y) \ y,x),y) = y / (T(y,x) / x). [hyper(4798,a,4335,a)]. 4896 T(x * K(x \ y,x),y) = y / (T(y,x) / x). [para(3680(a,1),4895(a,1,1,2))]. 4897 L(x,x \ y,x) = y / (T(y,x) / x). [hyper(189,a,4336,a(flip),b,4896,a(flip)),flip(a)]. 4898 T(x / (x / y),x) = x / (T(x,y) / y). [para(4318(a,2),4896(a,1,1))]. 4899 T((x \ L(y,y \ z,y)) * x,T(z,y) / y) = (x \ ((T(z,y) / y) \ z)) * x. [para(4897(a,2),4166(a,1,1,1,2))]. 4900 x / (x / T(y,x)) = T(x / (x / y),x). [para(3523(a,1),4898(a,2,2)),flip(a)]. 4901 T(x / (x / y),x) \ x = x / T(y,x). [para(4900(a,1),69(a,1,1))]. 4902 x * (x / (x / T(y,x))) = y * ((y \ x) * y). [para(4900(a,2),3645(a,1,2))]. 4903 ((x \ y) * x) * T(x,y) = y * (y / (y / T(x,y))). [hyper(189,a,3516,a,b,4902,a),flip(a)]. 4904 (x \ T(y,x)) * T(x,y) = (x \ y) * x. [hyper(3815,a,4903,a)]. 4906 (x \ 1) * (K(x,y) * ((x \ 1) \ z)) = K((x \ 1) \ 1,y) * z. [para(4401(a,2),4532(a,1,2))]. 4907 T(x * K(x * y,x),z) * y = y * R(T(x,z),y,x). [para(4815(a,1),4427(a,1,1))]. 4908 T(T(x * K(x * y,x),z),y) = R(T(x,z),y,x). [hyper(147,a,4907,a,b,xx)]. 4910 T(T(x * K(y * x,x),z),y) = R(T(x,z),y,x). [para(4617(a,2),4908(a,1,1,1,2))]. 4911 K(x,x \ 1) / ((y * x) \ y) = ((y * x) \ y) \ 1. [hyper(189,a,1999,a(flip),b,4459,a)]. 4912 (1 / ((x * y) \ x)) * K(y,y \ 1) = ((x * y) \ x) \ 1. [hyper(3206,a,4911,a)]. 4913 (((x * y) \ x) \ 1) \ K(y,y \ 1) != z | (x * y) \ x = z. [para(4911(a,1),236(a,1,1)),flip(b)]. 4914 (x \ R(y,z,u)) * K(((x \ R(y,z,u)) \ (x \ 1)) \ 1,w) = x \ R(T(y,w),z,u). [para(45(a,2),4525(a,2,2))]. 4915 ((x * y) * ((z * ((x * y) \ x)) / z)) * y = (x * y) * K(z,y \ 1). [hyper(189,a,1785,a(flip),b,4648,a(flip)),flip(a)]. 4916 (x * y) * (z * (L(y \ z,y,x) / z)) = (x * K(z,y \ 1)) * z. [para(4648(a,1),1810(a,1,1)),flip(a)]. 4917 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = (K(x,y \ 1) * z) * u. [para(4650(a,1),2145(a,2,1))]. 4918 x / (y * (((z \ ((y \ x) * u)) * z) / u)) = K(z,x / (y * (z / u))). [para(1579(a,1),4675(a,1,2,2))]. 4919 ((x * y) * z) / (x * (z * T(z \ (x \ ((x * y) * z)),u))) = K(u,R(y * K(x,y),x,z)). [para(4484(a,2),4675(a,2,2))]. 4920 K(x,y) * ((y \ ((x \ 1) \ y)) \ z) = (((x \ 1) \ y) / y) \ z. [para(2648(a,1),4772(a,1,1))]. 4921 K(x * y,T(y,z)) = K(y * x,T(y,z)). [hyper(4791,a,4799,a),flip(a)]. 4922 K(x \ R(x,y,z),R(x,u,w)) != v5 | 1 = v5. [para(4807(a,2),181(a,1))]. 4923 K(R(x,y,z),x \ R(x,u,w)) = 1. [hyper(189,a,59,a(flip),b,4808,a)]. 4926 (L(x,y,z) \ x) * K(x \ 1,x) = (L(x,y,z) \ 1) * x. [para(4831(a,1),17(a,1,2))]. 4927 (1 / x) * (K(x,y) * ((1 / x) \ z)) = K((1 / x) \ 1,y) * z. [para(4837(a,2),4532(a,1,2))]. 4928 L(K(x,y \ z),y \ z,y) = K(x,(z \ y) \ 1). [hyper(404,a,4858,a)]. 4929 (((x * y) \ x) \ 1) / ((y \ 1) \ 1) = (1 / ((x * y) \ x)) / y. [hyper(76,a,4912,a(flip),b,2257,a)]. 4930 ((L(x,y,z) \ 1) * x) * (1 / x) = (L(x,y,z) \ x) * (x \ 1). [para(4926(a,1),2284(a,1,1))]. 4931 T(x \ y,z) * (y \ (x * K(z,x \ y))) = T((x \ y) * (y \ (x * 1)),z). [para(4462(a,1),1926(a,1,2))]. 4932 (x * y) \ (y * (T(x,y) * z)) = L(z,x,y * K(x,y)). [para(4407(a,1),4509(a,1,2,2))]. 4933 L(x,y,z * K(y,z)) = L(x,T(y,z),z). [hyper(644,a,4932,a),flip(a)]. 4934 L(x,y,z * K(y,z)) != u | L(x,T(y,z),z) = u. [para(4932(a,1),644(a,1))]. 4935 (x * T(x \ y,z)) * (y \ 1) = K((x * (y \ 1)) \ 1,z). [hyper(4687,a,1159,a),flip(a)]. 4936 (x * K((x \ y) \ 1,z)) * (x \ 1) = K((y * (x \ 1)) \ 1,z). [para(4524(a,1),4935(a,1,1))]. 4937 R(K(x \ 1,y),z,u) != w | K(R(x,z,u) \ 1,y) = w. [para(4359(a,1),4688(a,1,1))]. 4938 R(T(x,y),z,x) / T(T(x,z),y) = K(x * z,T(T(x,z),y)). [para(45(a,2),4796(a,1,1))]. 4939 (K(x \ 1,y) * z) * u != w * (z * u) | K(R(x,z,u) \ 1,y) = w. [para(4819(a,1),23(a,1))]. 4940 K(((x * y) / (z * y)) \ 1,u) * (z * y) = (K((x / z) \ 1,u) * z) * y. [para(111(a,1),4819(a,1,1,1,1))]. 4941 (x * y) * z != x * (y * K(u \ 1,w)) | K(L(u,y,x) \ 1,w) = z. [para(4827(a,1),22(a,1)),flip(a)]. 4942 (x * y) * K(((x * y) \ z) \ 1,u) = x * (y * K((y \ (x \ z)) \ 1,u)). [para(183(a,1),4827(a,1,2,1,1))]. 4943 L(x,L(K(y,z),u,w),L(K(y,z),u,w) \ 1) = x. [para(4829(a,1),4866(a,1,2))]. 4944 x / (L(K(y,z),u,w) * x) = 1 / L(K(y,z),u,w). [hyper(76,a,4943,a(flip),b,2374,a)]. 4945 x / (L(K(y,z),u,w) * x) = L(K(y,z),u,w) \ 1. [hyper(189,a,2191,a(flip),b,4944,a)]. 4946 (L(K(x,y),z,u) \ 1) \ w = L(K(x,y),z,u) * w. [para(4945(a,1),69(a,1,1))]. 4947 x * (y * T(y \ (x \ y),z)) != u | K(x \ 1,z) * y = u. [para(713(a,1),4867(a,1))]. 4948 R(T(x,y) * K(T(y * L(x,z,u),T(x,y)),T(x,y)),w,v5) * (((x * y) * L(x,z,u)) / T(x,y)) = (((x * y) * L(x,z,u)) / T(x,y)) * R(T(x,y),w,v5). [para(1278(a,1),4334(a,1,1,1,2,1))]. 4949 T(x * y,z) / (y * x) = (y * x) \ T(x * y,z). [para(95(a,1),4458(a,1,2,1)),flip(a)]. 4950 ((x * y) \ T(y * x,z)) * (x * y) = T(y * x,z). [para(4949(a,1),19(a,1,1))]. 4952 (x * y) * K(R(y,x,y),x * y) = ((y * x) / R(y,x,y)) * y. [hyper(1649,a,4483,a),flip(a)]. 4953 T(T(x * K(y * T(x,z),x),u),y) = R(T(y \ (y * x),u),y,T(x,z)). [para(4492(a,1),763(a,1,1,1))]. 4954 T(x,x \ y) / (y \ x) = (((y \ x) \ 1) \ y) * ((y \ x) \ 1). [hyper(189,a,2534,a(flip),b,4588,a)]. 4955 (T(x,y) * y) / ((T(x,y) * y) / x) = x * K(y,x). [para(4430(a,1),4615(a,2,2))]. 4956 (x * (y \ T(y * z,u))) / (x * z) = K((x * z) / (x * (y \ 1)),u). [para(729(a,1),4637(a,1,1,2))]. 4957 K((x * y) / (x * (z \ y)),u) = (x * (K(z,u) * y)) / (x * y). [para(4548(a,1),4637(a,1,1,2)),flip(a)]. 4958 R(T(x,y),z,x) / T(T(x,y),z) = K(z * x,T(T(x,y),z)). [para(4910(a,1),4797(a,1,1))]. 4959 T(K(x,R(y \ 1,z,u) \ 1),w) = R(T(K(y,x),w),z,u) \ 1. [para(45(a,2),4823(a,2,1))]. 4960 (x * L(K(y,z),u,w)) \ x = L(K(y,z),u,w) \ 1. [para(4829(a,1),4834(a,1,1,2))]. 4961 (x * K(y \ 1,z)) * y = (x * y) * K(y \ 1,z). [para(4528(a,1),4836(a,1,1))]. 4963 x \ ((y * x) * K(x \ 1,z)) = T(y * K(x \ 1,z),x). [hyper(147,a,4961,a,b,17,a),flip(a)]. 4964 (x * K(y \ 1,z)) / y = (x / y) * K(y \ 1,z). [hyper(76,a,90,a(flip),b,4961,a)]. 4966 T((x / y) * K(y \ 1,z),y) != u | y \ (x * K(y \ 1,z)) = u. [para(4964(a,1),307(a,1,1))]. 4967 x \ ((y * x) * K(x \ 1,x)) = x * (T((x \ 1) \ 1,y) \ y). [hyper(189,a,4018,a(flip),b,4963,a)]. 4968 K(x,y) * (K(y,x) * T(K(y,x) \ z,u)) = T(K(x,y) * z,u). [para(4524(a,2),4876(a,1,2))]. 4969 T(K(x,y) * (z * K(y,x)),u) = K(x,y) * (T(z,u) * K(y,x)). [para(4754(a,1),4876(a,1,2)),flip(a)]. 4970 (x \ 1) * (K(x,y) * ((x \ 1) \ z)) = K(x,y) * z. [para(2648(a,1),4906(a,2,1))]. 4971 (1 / x) * (K(x,y) * ((1 / x) \ z)) = K(x,y) * z. [para(69(a,1),4927(a,2,1,1))]. 4972 K(x,y) * ((1 / x) * z) = (1 / x) * (K(x,y) * z). [para(16(a,1),4971(a,1,2,2)),flip(a)]. 4974 (K(x,y) * ((1 / x) * z)) / (K(x,y) * z) = 1 / x. [hyper(76,a,4972,a,b,xx)]. 4975 (K(x,y) * z) \ (K(x,y) * ((1 / x) * z)) = T(1 / x,K(x,y) * z). [hyper(75,a,4972,a,b,113,a)]. 4979 K((x * ((1 / y) \ 1)) \ 1,z) / y = (1 / y) * K(((1 / y) \ x) \ 1,z). [hyper(257,a,4936,a)]. 4980 ((x * y) / R(x,y,x)) * x = (y * x) * K(T(x,y),y * x). [para(3899(a,1),4952(a,1,2)),flip(a)]. 4981 ((x * y) / R(x,y,x)) * x = T(x,y * x) * T(y,x). [hyper(189,a,4474,a(flip),b,4980,a)]. 4982 T(x,(x \ y) * x) * T(x \ y,x) = (y / R(x,x \ y,x)) * x. [para(17(a,1),4981(a,1,1,1)),flip(a)]. 4983 R(T(K(x,y),z),u,w) \ 1 = T(R(K(x,y),u,w) \ 1,z). [para(4821(a,1),4959(a,1,1)),flip(a)]. 4984 x * (T((x \ 1) \ 1,y) \ y) = x \ (y * (1 / (1 / x))). [para(2611(a,1),4967(a,1,2)),flip(a)]. 4985 T(K(x \ 1,x) * y,z) = K(x \ 1,x) * T(y,z). [para(4149(a,1),4968(a,1,2)),flip(a)]. 4987 T(x * K(y \ 1,y),z) = K(y \ 1,y) * T(x,z). [para(2475(a,1),4985(a,1,1))]. 4988 T(K(x,y) * K(z \ 1,z),x) = K(z \ 1,z) * K(x,y). [para(2649(a,1),4987(a,2,2))]. 4989 T((T(x,y) \ 1) * x,y) = K(x \ 1,x) * K(y,x). [para(4633(a,1),4988(a,1,1))]. 4990 T((T(x,y) \ 1) * x,y) = (T(x,y) \ 1) * x. [hyper(189,a,4635,a(flip),b,4989,a)]. 4992 T(K(x,y) * (z * K(y,x)),u) != K(x,y) * w | T(z,u) * K(y,x) = w. [para(4969(a,2),22(a,1))]. 4993 R(x \ y,(y / x) \ x,x \ y) = ((y / x) \ x) \ x. [para(4717(a,1),4720(a,2,1))]. 4994 R(x * K(y,x),z,u) * (z * u) = K(y,R(x,z,u)) * ((x * z) * u). [hyper(3847,a,4746,a),flip(a)]. 4995 L(K(x,T(y,z)),T(y,z),z) = (y * z) \ ((y * K(x,y)) * z). [para(113(a,1),4792(a,1,2)),flip(a)]. 4996 R(T(K(x,y),y * z),y,z) = L(K(x,T(y,z)),T(y,z),z). [hyper(189,a,2770,a(flip),b,4995,a),flip(a)]. 4997 K(L(x,y,z) \ 1,(x \ 1) * L((x \ 1) \ 1,u,w)) = 1. [hyper(189,a,265,a(flip),b,4828,a)]. 4999 K(L(x,y,z) \ 1,x \ L(x,u,w)) = 1. [para(854(a,1),4997(a,1,2))]. 5000 T(L(x,y,z) \ 1,x \ L(x,u,w)) = L(x,y,z) \ 1. [hyper(40,a,4999,a)]. 5001 T(x \ L(x,y,z),L(x,u,w) \ 1) = x \ L(x,y,z). [hyper(38,a,5000,a)]. 5002 T(L(x,y,z) * (x \ 1),L(x,u,w) \ 1) = x \ L(x,y,z). [para(962(a,2),5001(a,1,1))]. 5003 (L(x,y,z) * (x \ 1)) \ (x \ 1) = (x \ 1) / (x \ L(x,y,z)). [para(5002(a,1),3758(a,1,2)),flip(a)]. 5004 (L(x,y,z) * (x \ 1)) \ (x \ 1) = L(x,y,z) \ 1. [hyper(189,a,2169,a(flip),b,5003,a)]. 5005 (x \ L(x,y,z)) \ (x \ 1) = L(x,y,z) \ 1. [para(962(a,1),5004(a,1,1))]. 5006 (L(x,y,z) \ x) * (x \ 1) = L(x,y,z) \ 1. [hyper(189,a,4700,a(flip),b,5005,a(flip)),flip(a)]. 5007 (L(x,y,z) \ x) \ (L(x,y,z) \ 1) = x \ 1. [hyper(75,a,5005,a(flip),b,4700,a(flip))]. 5008 (L(1 / x,y,z) \ 1) / x = L(1 / x,y,z) \ (1 / x). [hyper(257,a,5006,a)]. 5009 (L(x \ 1,y,z) \ (x \ 1)) * T(1 / (1 / x),x \ 1) = K(x \ 1,x) * (L(x \ 1,y,z) \ 1). [para(5006(a,1),4137(a,1,2)),flip(a)]. 5010 (x / R(y,y \ x,y)) * y = T(y,x) * T(y \ x,y). [para(3508(a,1),4982(a,1,1)),flip(a)]. 5011 (x / R(y,y \ x,y)) * y = (y \ x) * T(y,x). [hyper(189,a,3333,a(flip),b,5010,a)]. 5012 x / R(y,y \ x,y) = y \ (x * K(y,x)). [hyper(21,a,4499,a,b,5011,a)]. 5013 x / R(y,y \ x,y) = (y * K(x,y)) \ x. [hyper(189,a,4641,a,b,5012,a)]. 5014 x / ((y \ x) \ T(x,y)) = (y * K(x,y)) \ x. [para(3670(a,1),5013(a,1,2))]. 5015 ((x * K(y,x)) \ y) \ y = (x \ y) \ T(y,x). [para(5014(a,1),69(a,1,1))]. 5016 (x \ (y * K(x,y))) \ y = (x \ y) \ T(y,x). [para(4641(a,1),5015(a,1,1))]. 5017 (x \ ((x * y) / x)) \ y = (x \ y) \ T(y,x). [para(4375(a,2),5016(a,1,1,2))]. 5018 a(x,y,z) \ K(a(x,y,z),z \ L(z,y,x)) = 1 / a(x,y,z). [para(4402(a,2),1758(a,1,2))]. 5019 T(x * K(y,x),z) * (x \ y) = x \ (y * T(x,z)). [hyper(189,a,1101,a(flip),b,4601,a(flip))]. 5020 T(T(x,y) * K(x * y,T(x,y)),z) * (T(x,y) \ (x * y)) = T(x,y) \ ((T(x,z) * y) * T(x,y)). [para(1514(a,2),5019(a,2,2))]. 5021 (K(x,y) * (((1 / x) * z) * T(((1 / x) * z) \ z,u))) / (K(x,y) * z) = K((1 / x) \ 1,u). [para(4974(a,1),4759(a,2,1,1))]. 5022 ((x \ y) / y) \ K(x \ 1,x) = 1 / ((x \ y) / y). [para(4778(a,1),4770(a,1,2))]. 5023 (((x \ 1) \ y) / y) \ K(x,x \ 1) = 1 / (((x \ 1) \ y) / y). [para(1838(a,1),5022(a,1,2))]. 5025 T(x * K(y,x),x * (z / x)) = T(x,z) * K(y,T(x,z)). [para(3510(a,1),4793(a,1,2,2)),flip(a)]. 5026 T(x * K(y,x),x * (z / x)) = T(x * K(y,x),z). [hyper(189,a,4653,a(flip),b,5025,a)]. 5027 T(x * K(y,x),T(z * x,u)) = T(x * K(y,x),T(x * z,u)). [para(4159(a,1),5026(a,1,2)),flip(a)]. 5028 (x * K(y,z \ 1)) * z = (x * z) * K(y,z \ 1). [para(4648(a,1),4915(a,1,1))]. 5032 (x * K(y,(z \ 1) \ 1)) * (z \ 1) = (x * (z \ 1)) * K(y,z). [para(3081(a,1),5028(a,2,2))]. 5033 (x * K(y,z)) * (z \ 1) = (x * (z \ 1)) * K(y,z). [para(3081(a,1),5032(a,1,1,2))]. 5034 L(T(1 / x,y),y,K(x,z)) = T(1 / x,K(x,z) * y). [hyper(645,a,4975,a)]. 5035 L(T(K(x,y),z),z,K(x,u)) = K(T(1 / x,K(x,u) * z) \ 1,y). [para(5034(a,1),4830(a,1,1,1)),flip(a)]. 5036 L(T(K(x,y),z),z,K(x,u)) = T(K(x,y),K(x,u) * z). [hyper(189,a,4749,a(flip),b,5035,a)]. 5037 K(x,R(y,z,u)) * ((y * z) * u) = ((y * K(x,y)) * z) * u. [hyper(204,a,4994,a),flip(a)]. 5038 K(x,R(y,z,u)) * ((y * z) * u) = (y * (K(x,y) * z)) * u. [para(3828(a,1),5037(a,2,1))]. 5039 (x * y) \ (x * ((y * z) * K(u \ 1,u))) = L(z,y,x) * K(u \ 1,u). [para(4068(a,1),4071(a,1,2))]. 5041 (x * y) \ (x * ((y * z) * K(u,u \ 1))) = K(u,u \ 1) * L(z,y,x). [para(4077(a,1),4132(a,1,2))]. 5042 ((x \ (y * (z \ 1))) * x) / (z \ 1) = z * ((x \ (z \ y)) * x). [para(3272(a,1),4190(a,1,1))]. 5043 x / (y * ((z \ (y \ x)) * z)) = K(z,x / (z / (y \ 1))). [para(5042(a,1),4676(a,1,2))]. 5044 x / (y * (z * ((u \ (z \ (y \ x))) * u))) = K(u,x / (y * (u / (z \ 1)))). [para(5042(a,1),4918(a,1,2,2))]. 5045 R(x * K(y,x),y,L(x,z,u)) = x * K(y * L(x,z,u),x). [hyper(4506,a,4491,a)]. 5046 T(x * K(y * L(x,z,u),x),y) = R(x,y,L(x,z,u)). [para(4491(a,1),603(a,2,1)),flip(a)]. 5047 T(T(x * K(y * L(x,z,u),x),w),y) = R(T(y \ (y * x),w),y,L(x,z,u)). [para(4491(a,1),763(a,1,1,1))]. 5048 T(x,y) * K(y * L(x,z,u),T(x,y)) = R(x,y,L(x,z,u)). [hyper(4661,a,5046,a)]. 5049 T(R(x,y,z) * K(u * R(1 / (1 / x),y,z),R(x,y,z)),u) = R(R(x,y,z),u,L(R(x,y,z),x \ 1,x)). [para(475(a,1),5046(a,1,1,2,1,2))]. 5050 T(T(x * K(y * L(T(x,z),u,w),x),z),y) = R(T(x,z),y,L(T(x,z),u,w)). [para(4653(a,1),5046(a,1,1))]. 5051 (x / (y * K(z,y))) * R(y * K(z,y),z,L(y,u,w)) = (x * (y * K(z * L(y,u,w),y))) / (y * K(z,y)). [para(5045(a,1),1646(a,1,1,2)),flip(a)]. 5052 T(T(x * K(y * R(x,z,u),x),w),y) = R(T(y \ (y * x),w),y,R(x,z,u)). [para(4493(a,1),763(a,1,1,1))]. 5053 (x * y) * (z \ T(z * L(y \ (z \ 1),y,x),u)) = (x * K(y \ 1,u)) * (z \ 1). [para(729(a,1),4533(a,1,2))]. 5055 L(L(x * K(y,x),z,u),w,v5) * y = y * L(L(x,w,v5),z,u). [para(4729(a,1),4730(a,1,1,1))]. 5056 K(R(x,y,z),T(x,u) * u) = K(R(x,y,z),x * u). [hyper(189,a,4744,a(flip),b,4888,a)]. 5057 T(T(x * K(y * T(x,z),x),u),y) = R(T(x,u),y,T(x,z)). [para(16(a,1),4953(a,2,1,1))]. 5058 (x * y) \ (x * (y * (z * K(u \ 1,u)))) = L(z,y,x) * K(u \ 1,u). [para(4068(a,1),5039(a,1,2,2))]. 5059 (x * y) \ (x * (y * (z * K(u,u \ 1)))) = K(u,u \ 1) * L(z,y,x). [para(4077(a,1),5041(a,1,2,2))]. 5060 L(x * K(y \ 1,y),z,u) = L(x,z,u) * K(y \ 1,y). [hyper(355,a,5058,a)]. 5061 K(x \ 1,L(x,y,z)) = K(x \ 1,x). [hyper(4740,a,5060,a)]. 5062 L(x * K(y \ 1,y),z,u) = K(y \ 1,y) * L(x,z,u). [hyper(189,a,2475,a,b,5060,a)]. 5063 (x * y) * K(z \ 1,L(z,u,w)) = x * (y * K(z \ 1,z)). [para(5061(a,2),4068(a,1,2))]. 5064 L(K(x \ 1,x) * y,z,u) = K(x \ 1,x) * L(y,z,u). [para(2475(a,2),5062(a,1,1))]. 5065 (x * y) * K(z \ 1,L(z,u,w)) = x * (y * K(z \ 1,L(z,v5,v6))). [para(5061(a,2),5063(a,2,2,2))]. 5066 K(L(x,y,z) \ 1,L(x,u,w)) = K(x \ 1,L(x,v5,v6)). [hyper(4941,a,5065,a)]. 5067 K(x \ 1,L(x,y,z)) * (u / L(x,w,v5)) = u / ((L(x,w,v5) \ 1) \ 1). [para(5066(a,1),2483(a,1,1))]. 5068 K(x \ 1,L(x,y,z)) * (x / L(x,u,w)) = x * T(L(x,u,w) \ 1,x). [para(5066(a,1),2544(a,1,1))]. 5069 K(L(x,y,z) \ 1,L(x,u,w)) * K(L(x,v5,v6),x \ 1) = 1. [para(5066(a,2),3878(a,1,1))]. 5070 K(L(x,y,z),L(x,u,w) \ 1) = K(L(x,v5,v6),x \ 1). [hyper(3894,a,5069,a)]. 5071 L(x,y,z) \ K(L(x,u,w),x \ 1) = 1 / L(x,y,z). [hyper(75,a,5070,a(flip),b,1535,a(flip))]. 5072 L(x,y,z) \ K(x,x \ 1) = 1 / L(x,y,z). [para(262(a,1),5071(a,1,2,1))]. 5073 L(x,y,z) \ (1 / x) = x \ (1 / L(x,y,z)). [hyper(75,a,5072,a(flip),b,1551,a(flip)),flip(a)]. 5074 L(x * K(y,y \ 1),z,u) = K(y,y \ 1) * L(x,z,u). [hyper(355,a,5059,a)]. 5075 L(x * K(y,y \ 1),z,u) = L(x,z,u) * K(y,y \ 1). [hyper(189,a,2502,a(flip),b,5074,a)]. 5076 K(x,x \ 1) * L(x,y,z) = L(T(x,x \ 1),y,z). [para(1754(a,1),5074(a,1,1)),flip(a)]. 5077 (x \ 1) * L(((1 / x) \ y) * K(x,x \ 1),z,u) = L(y * x,z,u) / x. [para(5074(a,2),2456(a,1,2))]. 5078 K(L(x,y,z),x \ 1) = K(x,x \ 1). [hyper(21,a,4446,a,b,5076,a),flip(a)]. 5079 (x * y) * K(L(z,u,w),z \ 1) = x * (y * K(z,z \ 1)). [para(5078(a,2),4077(a,1,2))]. 5080 K(x,L(x \ 1,y,z)) = K(x,x \ 1). [hyper(4740,a,5075,a)]. 5081 L(x \ 1,y,z) * K(x,x \ 1) = L(1 / x,y,z). [para(1541(a,1),5075(a,1,1)),flip(a)]. 5082 L(x * K(y \ z,(y \ z) \ 1),u,w) = L(x,u,w) * K(y \ z,z \ y). [para(1992(a,1),5075(a,2,2))]. 5083 L(x,y,z) \ K(x,L(x \ 1,u,w)) = 1 / L(x,y,z). [para(5080(a,2),5072(a,1,2))]. 5084 L(x \ 1,y,z) \ K(x \ 1,x) = L(1 / x,y,z) \ 1. [para(5081(a,1),3205(a,1,1)),flip(a)]. 5085 L(1 / x,y,z) \ (1 / x) = L(x \ 1,y,z) \ (x \ 1). [para(5081(a,1),3214(a,1,1))]. 5086 (x \ 1) * (L(x \ 1,y,z) \ x) = L(1 / x,y,z) \ 1. [hyper(189,a,970,a(flip),b,5084,a(flip)),flip(a)]. 5087 K(L(x \ 1,y,z),(x \ 1) \ 1) = K(L(x,u,w) \ 1,(x \ 1) \ 1). [hyper(4941,a,5079,a),flip(a)]. 5088 K(L(x \ 1,y,z),(x \ 1) \ 1) = K(L(x,u,w) \ 1,x). [hyper(189,a,3081,a(flip),b,5087,a)]. 5089 K(L(x \ 1,y,z),x) = K(L(x,u,w) \ 1,x). [hyper(189,a,3081,a(flip),b,5088,a(flip)),flip(a)]. 5090 K(x,L(x,y,z) \ 1) = K(L(x \ 1,u,w),x) \ 1. [para(5089(a,2),3871(a,1,1)),flip(a)]. 5091 K(x,L(x \ 1,y,z)) = K(x,L(x,u,w) \ 1). [hyper(189,a,3871,a(flip),b,5090,a),flip(a)]. 5092 L(x,y,z) \ K(x,L(x,u,w) \ 1) = 1 / L(x,y,z). [para(5091(a,1),5083(a,1,2))]. 5093 (L(x,y,z) \ x) / x = 1 / L(x,y,z). [hyper(189,a,4652,a(flip),b,5092,a(flip)),flip(a)]. 5095 (1 / L(x,y,z)) * x = L(x,y,z) \ x. [para(5093(a,1),19(a,1,1))]. 5096 x / L(x,y,z) = L(x,y,z) \ x. [hyper(1264,a,5095,a)]. 5097 (L(x,y,z) \ x) * L(x,y,z) = x. [para(5096(a,1),19(a,1,1))]. 5098 (L(x,y,z) \ x) \ x = L(x,y,z). [para(5096(a,1),69(a,1,1))]. 5099 K(x \ 1,L(x,y,z)) * (u / L(x,w,v5)) = u / L((x \ 1) \ 1,w,v5). [para(2200(a,2),5067(a,2,2))]. 5100 K(x \ 1,L(x,y,z)) * (x / L(x,u,w)) != v5 | (L(x,u,w) \ 1) * x = v5. [para(5068(a,2),205(a,1))]. 5102 ((x \ (y * T(x,z))) * x) / T(x,z) = K(z,x) * T(K(z,x) \ y,x). [para(4356(a,2),4387(a,2,2,1,1))]. 5103 (K(x,y) * T(K(x,y) \ z,y)) * T(y,x) = (y \ (z * T(y,x))) * y. [para(5102(a,1),19(a,1,1))]. 5104 (x \ (y * T(x,z))) * x != u * T(x,z) | K(z,x) * T(K(z,x) \ y,x) = u. [para(5103(a,1),23(a,1))]. 5105 T(x,x \ y) \ R(T(x,x \ y),z,u) = x \ (y \ ((R(x,z,u) * (x \ y)) * x)). [hyper(75,a,4419,a(flip),b,4382,a),flip(a)]. 5106 L(L(x,y,z),z * y,K(z,u)) = (T(z,u) * y) \ (T(z,u) * (y * x)). [para(4407(a,1),4574(a,1,2)),flip(a)]. 5107 L(L(x,y,z),z * y,K(z,u)) != w | L(x,y,T(z,u)) = w. [para(5106(a,2),355(a,1))]. 5108 T(x \ y,z) * (y \ (x * K(z,x \ y))) = T((x \ y) * (y \ x),z). [para(15(a,1),4931(a,2,1,2,2))]. 5109 (x * y) * K(((x * y) \ (z * y)) \ 1,u) = (K((z / x) \ 1,u) * x) * y. [hyper(189,a,4756,a(flip),b,4940,a(flip)),flip(a)]. 5110 (1 / x) * K(((1 / x) \ y) \ 1,z) = K((y * x) \ 1,z) / x. [para(69(a,1),4979(a,1,1,1,1,2)),flip(a)]. 5111 x / L((y \ ((z \ 1) \ (z \ x))) * y,z \ 1,z) = K(y,x / (z * (y / ((z \ 1) \ 1)))). [para(166(a,1),5044(a,1,2))]. 5112 (x \ 1) * L((x \ 1) \ y,z,u) = L(y * x,z,u) / x. [para(2508(a,1),5077(a,1,2,1))]. 5113 L(x * y,z,u) / y = y \ L(y * x,z,u). [hyper(189,a,817,a(flip),b,5112,a(flip))]. 5114 (x \ L(x * y,z,u)) * x = L(y * x,z,u). [para(5113(a,1),19(a,1,1))]. 5115 x \ L(x * (y / x),z,u) = L(y,z,u) / x. [para(19(a,1),5113(a,1,1,1)),flip(a)]. 5116 L((x \ y) * x,z,u) = (x \ L(y,z,u)) * x. [para(17(a,1),5114(a,1,1,2,1)),flip(a)]. 5117 L(x * (y / x),z,u) = x * (L(y,z,u) / x). [para(5115(a,1),17(a,1,2)),flip(a)]. 5118 L(T((x \ y) * x,z),u,w) = T((x \ L(y,u,w)) * x,z). [para(5116(a,1),43(a,2,1))]. 5119 L((x \ ((y \ 1) \ z)) * x,y \ 1,y) = (x \ (y * z)) * x. [para(362(a,1),5116(a,2,1,2))]. 5120 K(x,L(x * (y / x),z,u)) = K(x,L(y,z,u)). [para(5117(a,2),4578(a,1,2))]. 5121 (x * y) * L(z * ((y \ z) / z),y,x) = (x * K(z,y \ 1)) * z. [para(5117(a,2),4916(a,1,2))]. 5122 L((x \ ((y \ 1) \ (y \ z))) * x,y \ 1,y) = (x \ z) * x. [para(17(a,1),5119(a,2,1,2))]. 5123 x / L((y \ ((z \ 1) \ (z \ x))) * y,z \ 1,z) = K(y,y \ x). [para(5122(a,2),4294(a,1,2))]. 5124 x * (y * (z * ((y \ z) / z))) = (x * K(z,y \ 1)) * z. [hyper(207,a,5121,a)]. 5125 (x * K(y,z \ 1)) * y = x * T(y,z \ 1). [para(3357(a,1),5124(a,1,2)),flip(a)]. 5130 (x * K(y,z)) * y = x * T(y,(z \ 1) \ 1). [para(3081(a,1),5125(a,1,1,2))]. 5132 (x * K(y,z)) * y = x * T(y,z). [para(2671(a,1),5130(a,2,2))]. 5133 x * T(y * K(x,z),x) = y * T(x,z). [hyper(206,a,5132,a)]. 5134 (K(x,y) * K(y,z)) * y = T(y,z) * K(x,y). [hyper(189,a,2759,a,b,5132,a)]. 5136 (x * K(y,z)) \ (x * T(y,z)) = y. [hyper(80,a,5132,a)]. 5138 (x * y) * K(T(x,y),z) = T(x,z) * y. [hyper(21,a,1514,a,b,5132,a)]. 5139 (x * y) * K(y,z) = x * T(y,z). [hyper(21,a,1476,a,b,5132,a)]. 5140 (x / y) * T(y,z) = x * K(y,z). [hyper(21,a,1461,a,b,5132,a),flip(a)]. 5142 (x * (y * T(z,u))) \ ((x * (y * K(z,u))) * z) = a(x,y * K(z,u),z). [para(5132(a,1),27(a,2,1,2)),flip(a)]. 5143 L(x \ 1,x,y * K(x,z)) = (y * T(x,z)) \ (y * K(x,z)). [para(5132(a,1),140(a,2,1))]. 5145 x \ (y * T(x,z)) != u | T(y * K(x,z),x) = u. [para(5132(a,1),238(a,1,2))]. 5146 (x * K(y,z)) * T(z,y) = x * z. [para(3919(a,1),5132(a,1,1)),flip(a)]. 5148 (T(x,y) \ 1) * y = (x \ 1) * T(y,x). [para(4369(a,1),5132(a,1,1))]. 5149 K(x,y * K(x,z)) * K(y * T(x,z),x) = x \ R(x,y * K(x,z),x). [para(5132(a,1),4696(a,1,2,1))]. 5150 L(x,K(x,y),z) = x. [hyper(4453,a,5136,a)]. 5151 (x * K(y,z)) \ (x * y) = y * K(z,y). [hyper(189,a,4507,a(flip),b,5150,a(flip)),flip(a)]. 5156 R(x,y,K(y,z)) = x. [hyper(4440,a,5139,a)]. 5157 (x * y) / K(z,y) = x * T(y,z). [hyper(3953,a,5139,a)]. 5158 (x * T(y,z)) * K(z,y) = x * y. [hyper(3929,a,5139,a)]. 5159 (x / y) \ (x * K(y,z)) = T(y,z). [hyper(430,a,5139,a)]. 5160 x * T(x \ y,z) = y * K(x \ y,z). [hyper(411,a,5139,a),flip(a)]. 5162 (K(x,x \ 1) * y) * K(y,z) = T(K(x,x \ 1) * y,z). [hyper(189,a,4147,a,b,5139,a)]. 5164 ((x / T(y,z)) * y) \ x = K(y,z). [hyper(75,a,19,a(flip),b,5139,a)]. 5165 (x * K(y,z)) \ ((x * y) * K(y,z)) = y. [hyper(75,a,5139,a,b,5132,a)]. 5167 (x * y) * K(y,z) != x * u | T(y,z) = u. [para(5139(a,2),22(a,1))]. 5168 K(x,y) \ (z * T(x,y)) != u | T(z * x,K(x,y)) = u. [para(5139(a,1),238(a,1,2))]. 5172 T(x,x \ T(y,z)) * K(y,z) = (x / y) * T(x * (y / x),z). [hyper(189,a,4203,a(flip),b,5140,a(flip))]. 5174 x * K(y \ x,z) != u | y * T(y \ x,z) = u. [para(5140(a,1),456(a,1))]. 5175 (x / y) \ T(x * K(y,z),(x / y) \ 1) = (((x / y) \ 1) \ T(y,z)) * ((x / y) \ 1). [para(5140(a,1),768(a,1,2,1))]. 5176 (x / T(y,z)) * y = x * K(z,y). [hyper(1489,a,5146,a)]. 5177 (x / T(y,z)) / K(z,y) = x / y. [hyper(418,a,5146,a),flip(a)]. 5178 (x / y) * K(z,y) = x / T(y,z). [hyper(76,a,19,a(flip),b,5146,a),flip(a)]. 5179 (K(x,y) * K(z,y * x)) \ (x * y) = T(y * x,z). [hyper(75,a,4373,a(flip),b,5146,a)]. 5180 (x \ y) * K(y,x) = x \ T(y,x). [hyper(21,a,4904,a,b,5146,a)]. 5183 (x * T(y,z)) * T(z,y) = (x * y) * z. [para(5139(a,1),5146(a,1,1))]. 5184 (x * T(x \ y,z)) \ y = K(z,x \ y). [para(5157(a,1),184(a,1,1))]. 5185 (x * T(y * K(z,y),u)) / K(z,T(y * K(z,y),u)) = x * T(y,u). [para(4420(a,1),5157(a,2,2))]. 5189 (x * y) * K(y,z) != u | x * T(y,z) = u. [para(5158(a,1),3921(a,1,1)),flip(b)]. 5190 (x * K(y,z)) * z = (x * z) * K(y,z). [para(5146(a,1),5158(a,1,1)),flip(a)]. 5191 ((x / y) \ T(x * K(y,z),(x / y) \ 1)) / T(y,z) = K(x * K(y,z),(x / y) \ 1). [para(5159(a,1),4727(a,1,2))]. 5192 T(x,y) / ((z / x) \ T(z * K(x,y),(z / x) \ 1)) = K((z / x) \ 1,z * K(x,y)). [para(5159(a,1),4803(a,1,1))]. 5194 (x / y) * K(z,y) != u | x / T(y,z) = u. [para(5177(a,1),200(a,1,1)),flip(b)]. 5196 (x / y) * K(x,y) != z | T(x,y) / y = z. [para(5178(a,2),3580(a,1))]. 5198 x \ T(x * y,x) = y * K(x * y,x). [para(16(a,1),5180(a,1,1)),flip(a)]. 5200 x \ T(x * K(y \ 1,y),z) = T(K(y \ 1,y) * K(x,z),x). [hyper(75,a,4987,a,b,5133,a)]. 5202 x * T(y,z) != u | (x * K(y,z)) * y = u. [para(5133(a,1),205(a,1))]. 5206 (x * K(y,z)) * (y * K(z,y)) = x * y. [para(5151(a,1),17(a,1,2))]. 5207 x / (y * K(z,y)) = (x / y) * K(y,z). [para(5151(a,1),234(a,1,2))]. 5208 K((x \ y) \ y,z) = T(K(x,z),y). [hyper(4784,a,5160,a),flip(a)]. 5209 K((x \ y) \ 1,z) = K(y \ x,z). [hyper(4755,a,5160,a)]. 5210 T(K(x / y,z),x) = K(y \ x,z). [hyper(4639,a,5160,a)]. 5211 x \ T(x * y,z) = y * K((x \ 1) \ y,z). [hyper(785,a,5160,a)]. 5212 (x \ y) * K((x \ 1) \ (x \ y),z) = x \ T(y,z). [hyper(189,a,771,a(flip),b,5160,a(flip))]. 5217 x \ (y * T(y \ x,z)) != u | K(y \ x,z) = u. [para(5160(a,2),237(a,1,2)),flip(b)]. 5219 R(T(K(x \ y,y),y * z),y,z) = (y * z) \ ((x * T(x \ y,y)) * z). [para(5160(a,2),2770(a,1,2,1)),flip(a)]. 5222 K(T(x,x \ y),z) = T(K(x,z),y). [para(114(a,2),5208(a,1,1))]. 5223 T(K(x,y),z * x) = K(T(x,z),y). [para(3555(a,2),5208(a,1,1)),flip(a)]. 5224 K(((x * y) \ x) \ 1,z) = K(y,z). [hyper(189,a,1215,a(flip),b,5209,a)]. 5226 K(T(x,y) \ 1,z) = K((x * y) \ y,z). [para(35(a,2),5209(a,1,1,1))]. 5228 K(L(x \ y,x,z) \ 1,u) = K((z * y) \ (z * x),u). [para(104(a,2),5209(a,1,1,1))]. 5231 K(x,(y \ z) \ 1) = K(z \ y,x) \ 1. [para(5209(a,1),3871(a,1,1)),flip(a)]. 5233 K(x \ y,z) \ z != u | T(z,(y \ x) \ 1) = u. [para(5209(a,1),4386(a,1,1))]. 5235 K(L(x \ y,z,u) \ 1,w) = L(K(y \ x,w),z,u). [para(5209(a,1),4824(a,1,1)),flip(a)]. 5236 (1 / x) * K(y \ (1 / x),z) = K((y * x) \ 1,z) / x. [para(5209(a,1),5110(a,1,2))]. 5237 T(((x * y) \ x) \ 1,z) = ((x * y) \ x) \ K(y,z). [hyper(75,a,5224,a(flip),b,4359,a),flip(a)]. 5238 (1 / ((x * y) \ x)) * K(y,z) = T(1 / ((x * y) \ x),z). [para(5224(a,1),4442(a,1,2))]. 5239 R(T(x,y * K(x,z)),y,K(x,z)) = T(x,y). [para(5165(a,1),832(a,1,1)),flip(a)]. 5241 ((x * y) * z) / (y * z) = R(x,T(y,z),T(z,y)). [hyper(76,a,5183,a(flip),b,3579,a)]. 5243 (x \ T(x * y,z)) \ y = K(z,(x \ 1) \ y). [para(729(a,1),5184(a,1,1))]. 5244 K(x,(y \ 1) \ (y \ z)) = (y \ T(z,x)) \ (y \ z). [para(771(a,1),5184(a,1,1)),flip(a)]. 5245 ((x * T(x \ y,z)) * u) \ (y * u) = K(z,(x * u) \ (y * u)). [para(1100(a,1),5184(a,1,1))]. 5246 K(x,y) * z != (u * K(x,y)) * y | T(u * y,K(x,y)) = z. [para(5190(a,2),148(a,2))]. 5247 T(x * y,x) / T(x,y) = y * K(x * y,x). [hyper(189,a,3977,a,b,5198,a(flip)),flip(a)]. 5248 x * (y * K(x * y,x)) = T(x * y,x). [para(5198(a,1),17(a,1,2))]. 5250 T(x,y) * K((x \ ((y \ 1) \ x)) * T(x,y),x \ ((y \ 1) \ x)) = (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,x \ ((y \ 1) \ x)). [para(3755(a,1),5198(a,1,2,1)),flip(a)]. 5252 (x * K(y,z)) * z = x * (z * K(y,z)). [para(3919(a,1),5206(a,1,1)),flip(a)]. 5254 (x / (y \ z)) * K(y \ z,y) = x / (z / y). [para(4295(a,1),5207(a,1,2)),flip(a)]. 5256 K((x * y) \ y,T(x,z)) = K(x \ 1,x). [hyper(189,a,2909,a(flip),b,5226,a(flip))]. 5257 K((x * y) \ y,z) = K(y \ (x \ y),z). [para(4267(a,1),5226(a,1,1)),flip(a)]. 5258 K(x,(y \ z) \ 1) = K(x,z \ y). [hyper(189,a,3871,a(flip),b,5231,a)]. 5259 K(x,(y \ z) \ 1) != u | K(x,z \ y) = u. [para(5231(a,2),3872(a,1))]. 5260 T(K(x,y / z),y) = K(x,z \ y). [hyper(189,a,4875,a,b,5258,a(flip)),flip(a)]. 5261 K(x,(y * z) \ y) = K(x,z \ 1). [para(16(a,1),5258(a,1,2,1)),flip(a)]. 5262 K(x,((y * z) \ y) \ 1) = K(x,z). [para(16(a,1),5258(a,2,2))]. 5264 K(x,(T(y,z) * (y \ u)) \ 1) = K(x,(T(y,z) * u) \ y). [para(975(a,1),5258(a,1,2,1))]. 5266 T(x \ y,K(z,y \ x)) = x \ y. [para(5258(a,1),1827(a,1,2))]. 5268 K(x,(K(y,z) * u) \ 1) = K(x,u \ K(z,y)). [para(3889(a,1),5258(a,1,2,1))]. 5269 x * K(y,z \ x) = z * ((y * (z \ x)) / y). [para(5258(a,1),4649(a,1,2))]. 5270 K(x,(y / z) \ 1) * z = z * K(x,y \ z). [para(5258(a,1),4853(a,2,2))]. 5271 K(x,y / z) * y = y * K(x,z \ y). [para(5258(a,1),4874(a,1,2)),flip(a)]. 5272 (((x \ y) \ 1) \ x) * ((x \ y) \ 1) = x * K(y,y \ x). [para(5258(a,1),4859(a,2,2))]. 5273 K(x,(y \ z) \ z) = T(K(x,y),z). [para(67(a,1),5260(a,1,1,2)),flip(a)]. 5276 K(x,y \ z) * (z \ y) = (z \ y) * K(x,y \ z). [para(5266(a,1),113(a,1,2))]. 5277 K(x,T(y,y \ z)) = T(K(x,y),z). [para(114(a,2),5273(a,1,2))]. 5278 T(K(x,y),z * y) = K(x,T(y,z)). [para(3555(a,2),5273(a,1,2)),flip(a)]. 5279 T(K(x,y),y * z) = K(x,T(y,z)). [para(16(a,1),5277(a,1,2,2)),flip(a)]. 5280 K(x * y,T(y,x)) != z | K(x * y,y) = z. [para(5278(a,1),2658(a,1))]. 5281 (x * y) * K(z,T(x,y)) = K(z,x) * (x * y). [para(5279(a,1),113(a,1,2))]. 5282 K(x,y) * K(y,T(x,z)) = K(x * z,K(x,y)). [para(5279(a,1),4463(a,1,2))]. 5284 (x * K(y,z)) \ (x * (z * K(y,z))) = z. [hyper(80,a,5252,a)]. 5285 (x * y) * K(z,y) = x * (y * K(z,y)). [hyper(189,a,5190,a(flip),b,5252,a(flip)),flip(a)]. 5286 (x * (y * K(z,y))) / (y * K(u,y)) = (x * K(z,y)) * K(y,u). [hyper(76,a,5252,a(flip),b,5206,a)]. 5289 K(((x * y) * z) \ (y * z),T(R(x,y,z),u)) = K(R(x,y,z) \ 1,R(x,y,z)). [para(110(a,1),5256(a,1,1,1))]. 5290 1 / (x \ K(y \ (z \ y),x)) = T(x,(z * y) \ y). [para(5257(a,1),4466(a,2,2,2)),flip(a)]. 5291 L(T(x,K(y,x)),K(y,x),z) = x. [hyper(645,a,5284,a)]. 5292 (x * K(y,z)) * z != u | x * (z * K(y,z)) = u. [para(5284(a,1),203(a,1,2)),flip(b)]. 5294 L(x,K(y,x),z) = x. [para(2753(a,1),5291(a,1,1))]. 5295 L(L(x,y,z),K(u,x),w) = L(x,y,z). [para(5294(a,1),48(a,1,1)),flip(a)]. 5296 (x * K(y,z)) * T(z,u) = x * (K(y,z) * T(z,u)). [para(5294(a,1),350(a,1,2,1))]. 5300 R(x,K(y,z),L(L(z,u,w),K(y,z),x)) = (x * (K(y,z) * L(z,u,w))) / (K(y,z) * L(z,u,w)). [para(5295(a,1),349(a,1,2,2)),flip(a)]. 5301 R(x,y,K(z,y)) = x. [hyper(376,a,5285,a)]. 5302 L(K(x,y),y,z) = K(x,y). [hyper(346,a,5285,a)]. 5303 (x * (y \ z)) * K(y,y \ z) = x * (z / y). [para(4295(a,1),5285(a,2,2))]. 5307 L(K(x,y),y,z) = K(x,((u * y) \ u) \ 1). [hyper(189,a,5262,a,b,5302,a)]. 5309 L(L(K(x,y),z,u),y,w) = L(K(x,y),z,u). [para(5302(a,1),48(a,1,1)),flip(a)]. 5312 ((x * y) / x) * K(y,z) != u | K(x,y) * T(y,z) = u. [para(4468(a,2),5189(a,1,1))]. 5313 K(x,x \ y) * K(z,y) != u | (x * (y / x)) / T(y,z) = u. [para(4298(a,1),5194(a,1,1))]. 5314 x * (K(y,x) * K(y * x,y)) = T(y * x,y) / y. [hyper(5196,a,4496,a),flip(a)]. 5318 K(x,1 / (y \ z)) != u | K(x,z \ y) = u. [para(3083(a,2),5259(a,1))]. 5319 K(x,(K(y,z) * u) \ 1) != w | K(x,u \ K(z,y)) = w. [para(3889(a,1),5259(a,1,2,1))]. 5322 L(K(x,T(y,z)),T(y,z),u) = K(x,((y * z) \ z) \ 1). [para(113(a,1),5307(a,2,2,1,1))]. 5323 K(x,((y * z) \ y) \ 1) != u | K(x,z) = u. [para(5307(a,1),3201(a,1)),flip(b)]. 5325 K(x,T(y / z,y)) != u | K(x,z \ y) = u. [para(4272(a,2),5318(a,1,2))]. 5326 K(x,(y \ 1) \ 1) != z | K(x,y) = z. [para(14(a,1),5323(a,1,2,1,1))]. 5327 L(K(x,y),y,z) != u | K(x,y) = u. [para(5307(a,2),5323(a,1))]. 5329 K(x,T(y \ 1,z)) != u | K(x,T(1 / y,z)) = u. [para(2096(a,1),5326(a,1,2))]. 5330 K(x,R(T(y,y \ 1),z,u)) != w | K(x,R(y,z,u)) = w. [para(3107(a,2),5326(a,1,2))]. 5332 K(x,T(y / z,y)) = K(x,z \ y). [hyper(5325,a,xx),flip(a)]. 5333 K(x,(y \ z) \ z) = K(x,T(y,z)). [para(67(a,1),5332(a,1,2,1)),flip(a)]. 5334 K(x,T(y,z)) = T(K(x,y),z). [hyper(189,a,5273,a(flip),b,5333,a(flip))]. 5335 K(x,T(y,y \ z)) = K(x,T(y,z)). [para(114(a,2),5333(a,1,2))]. 5336 K(x,T(y * K(z,u),y)) = K(x,K(z,u) * y). [para(3931(a,1),5333(a,1,2)),flip(a)]. 5337 K((x \ y) \ y,z) = K(x,T(z,y)). [hyper(189,a,5208,a,b,5334,a),flip(a)]. 5338 K(x,K(y,z)) * K(z,y) = K(z,T(y,x)). [hyper(189,a,4539,a,b,5334,a),flip(a)]. 5339 x \ (K(y,z) \ x) = K(z,T(y,x)). [hyper(189,a,3913,a,b,5334,a),flip(a)]. 5340 K(x / y,T(z,x)) = K(y \ x,z). [hyper(189,a,5210,a(flip),b,5334,a)]. 5341 K(x,T(y,T(x,z))) = K(x,y). [hyper(189,a,2662,a(flip),b,5334,a)]. 5342 K(x,T(y,K(z,x))) = K(x,y). [hyper(189,a,1957,a(flip),b,5334,a)]. 5343 K(x \ 1,T(y,x)) = K(x \ 1,y). [hyper(189,a,1153,a(flip),b,5334,a)]. 5344 T(K(x,y),z * y) = T(K(x,y),z). [hyper(189,a,5278,a,b,5334,a(flip)),flip(a)]. 5345 x * K(y,T(z,x)) = K(y,z) * x. [para(5334(a,2),113(a,1,2))]. 5346 x * K(y,T(z,x)) != u | K(y,z) * x = u. [para(5334(a,2),205(a,1,2))]. 5347 x / K(y,T(z,x)) = K(y,z) \ x. [para(5334(a,2),3866(a,1,2))]. 5348 (K(x,y) * z) * K(y,T(x,z)) = z. [para(5334(a,2),3949(a,1,2))]. 5349 x * T(K(x,y),z) = T(x,T(y,z)). [para(5334(a,1),4396(a,2,2)),flip(a)]. 5350 K(x,y) * K(y,T(x,z)) != u | K(z,K(x,y)) = u. [para(5334(a,2),4673(a,1,2))]. 5351 R(K(x,T(y,z)),u,w) \ 1 = T(R(K(x,y),u,w) \ 1,z). [para(5334(a,2),4983(a,1,1,1))]. 5352 T(x,y) * K(z,T(x,T(z,u))) = K(z,x) * T(x,y). [para(5341(a,2),2759(a,1,2))]. 5353 T(x,T(y,T(x,z))) = x * K(x,y). [para(5341(a,1),4396(a,2,2))]. 5354 T(x * K(y,x),T(y,z)) = T(x,T(y,z)) * K(y,x). [para(5341(a,1),4653(a,1,2)),flip(a)]. 5355 T(x,T(y,K(z,x))) = x * K(x,y). [para(5342(a,1),4396(a,2,2))]. 5356 K(x,T(y * z,y * (z * u))) = K(x,T(y * z,L(u,z,y))). [para(31(a,2),5335(a,1,2,2)),flip(a)]. 5357 K(x,T(y,z \ 1)) = K(x,T(y,z \ y)). [para(3749(a,1),5335(a,1,2))]. 5358 R(x,y,K(z,T(y,u))) = x. [para(5337(a,1),5301(a,1,3))]. 5359 (x * y) * K(z,T(y,u)) = x * (y * K(z,T(y,u))). [para(5358(a,1),110(a,1,1)),flip(a)]. 5360 K(x,y) * (z * K(y,T(x,z))) = z. [para(5339(a,1),63(a,1,2,2))]. 5365 (K(x,y) * z) * K(T(y,z),x) = z. [hyper(3929,a,5345,a)]. 5366 (x \ y) \ (T(x,z) \ y) = K(z,T(x,x \ y)). [hyper(75,a,4558,a(flip),b,5345,a)]. 5367 K(x,T(y \ 1,z)) = K(x,z \ (y \ z)). [hyper(20,a,4854,a,b,5345,a)]. 5368 K(x,x \ y) * K(z,y) = K(z,y) * K(x,x \ y). [para(4320(a,1),5345(a,1,2,2))]. 5369 x * K(T(y,x),z) = K(z,y) \ x. [hyper(3930,a,5347,a)]. 5370 x * K(T(y,x),z) = K(y,z) * x. [hyper(3929,a,5348,a)]. 5372 T(x,T(y,z)) != x * u | T(K(x,y),z) = u. [para(5349(a,1),22(a,1))]. 5373 T(x,T(y,T(x,z))) = T(x,y). [hyper(189,a,4396,a,b,5353,a)]. 5375 T(x / (x / y),T(z,y)) = T(x / (x / y),z). [para(164(a,1),5373(a,1,2,2))]. 5376 T(x * K(y,x),T(z,x)) = T(x * K(y,x),z). [para(4374(a,1),5373(a,1,2,2))]. 5377 x * T(y * K(x,y),T(x,z)) = T(x,y) * T(y,T(x,z)). [para(5373(a,1),4659(a,1,1)),flip(a)]. 5378 T(x,T(y,K(z,x))) = T(x,y). [hyper(189,a,4396,a,b,5355,a)]. 5379 K(T(x,y),z) = T(K(x,z),y). [hyper(3950,a,5365,a),flip(a)]. 5380 K(T(x,y),z) = K(x,T(z,y)). [hyper(20,a,5348,a,b,5365,a)]. 5381 K(T(x,x \ y),z) = K(T(x,y),z). [hyper(189,a,5222,a,b,5379,a),flip(a)]. 5382 K((x \ y) \ y,z) = K(T(x,y),z). [hyper(189,a,5208,a,b,5379,a),flip(a)]. 5383 K(T(x,y),y / z) = K(x,z \ y). [hyper(189,a,5260,a(flip),b,5379,a)]. 5384 K(T(x,y * x),z) = K(T(x,y),z). [hyper(189,a,5223,a(flip),b,5379,a)]. 5385 K(T(x,T(y,z)),y) = K(x,y). [hyper(189,a,2781,a(flip),b,5379,a)]. 5386 K(T(x,y \ 1),y) = K(x,y). [hyper(189,a,1841,a(flip),b,5379,a)]. 5387 T(K(x,y),z) * T(x,z) = T(T(x,z),y). [para(5379(a,1),4403(a,2,1)),flip(a)]. 5388 x * K(T(x,y),z) = T(x,T(z,y)). [para(5379(a,2),5349(a,1,2))]. 5389 K(T(x,x * y),y) = K(x,y). [hyper(189,a,3515,a(flip),b,5380,a)]. 5390 x * K(T(y,z),u) = x * K(y,T(u,z)). [hyper(24,a,5380,a)]. 5391 T(K(x,y),z * x) = K(x,T(y,z)). [hyper(189,a,5223,a,b,5380,a(flip)),flip(a)]. 5392 K(x,T(y,x \ z)) = T(K(x,y),z). [hyper(189,a,5222,a(flip),b,5380,a(flip))]. 5393 K(R(T(x,y),z,u),w) = K(R(x,z,u),T(w,y)). [para(45(a,2),5380(a,1,1))]. 5394 K(x / y,T(z,y)) = K(y \ x,z). [para(115(a,1),5380(a,1,1)),flip(a)]. 5395 K(T(x,y),z / y) = K(x,y \ z). [para(115(a,1),5380(a,2,2))]. 5396 K((x * y) / x,T(z,x)) = K(y,z). [para(142(a,1),5380(a,1,1)),flip(a)]. 5397 K(T(x,y),L(y,z,u)) = K(x,L(y,z,u)). [para(125(a,1),5380(a,2,2))]. 5398 K(x,T(y,T(T(x,z),u))) = K(x,y). [para(329(a,1),5380(a,1,1)),flip(a)]. 5399 K(x,T(y,R(T(x,z),u,w))) = K(x,y). [para(667(a,1),5380(a,1,1)),flip(a)]. 5400 K(x,T(y,z * (x / z))) = K(x,y). [para(3780(a,1),5380(a,1,1)),flip(a)]. 5401 x / K(y,T(z,u)) = x * K(z,T(y,u)). [para(5380(a,1),3890(a,1,2))]. 5402 K(x,T(y,z)) \ u != w | K(y,T(x,z)) * u = w. [para(5380(a,1),3909(a,1,1))]. 5403 (x * K(y,T(z,u))) \ x != w | K(z,T(y,u)) = w. [para(5380(a,1),3922(a,1,1,2))]. 5404 x * K(y,T(z,u)) != w | w * K(z,T(y,u)) = x. [para(5380(a,1),3929(a,1,2))]. 5405 x / K(y,T(z,u)) != w | x * K(z,T(y,u)) = w. [para(5380(a,1),3930(a,1,2))]. 5406 K(x,T(y,z)) * T(x,z) = T(T(x,z),y). [para(5380(a,1),4403(a,2,1)),flip(a)]. 5407 x * K(T(x,y),z) != u | T(x,T(z,y)) = u. [para(5380(a,2),4399(a,1,2))]. 5408 (T(x,T(y,z)) * y) / K(x,y) = y * T(x,T(y,z)). [para(5385(a,1),127(a,1,2))]. 5409 K(L(x,y,x),y) = K(x,y). [hyper(3941,a,5389,a)]. 5410 K(T(x * K(y,z),x),u) = K(K(y,z) * x,u). [para(3931(a,1),5382(a,1,1)),flip(a)]. 5411 K(x,L(L(x,y,z),u,w) / v5) = K(x,v5 \ L(L(x,y,z),u,w)). [para(750(a,1),5383(a,1,1))]. 5412 K(x,T(y,z * x)) = K(x,T(y,z)). [hyper(189,a,5334,a,b,5391,a(flip)),flip(a)]. 5413 (x * y) * K(y,T(z,x)) = K(y,z) * (x * y). [para(5391(a,1),113(a,1,2))]. 5414 K(x,T(y,x \ z)) = K(x,T(y,z)). [hyper(189,a,5334,a,b,5392,a)]. 5415 K((x * y) / x,T(z,x)) != u | K(y,z) = u. [para(5394(a,2),4566(a,1))]. 5416 K(L(x,y,z),u / x) = K(L(x,y,z),x \ u). [para(125(a,1),5395(a,1,1))]. 5417 K(x,y / (z * (x / z))) = K(x,(z * (x / z)) \ y). [para(3780(a,1),5395(a,1,1))]. 5418 T(x,T(y,T(T(x,z),u))) = K(x,y) * x. [para(5398(a,1),4403(a,2,1))]. 5419 K(x * y,T(z,y * x)) = K(x * y,z). [para(18(a,1),5400(a,1,2,2,2))]. 5420 K(x,T(y,z / x)) = K(x,T(y,z)). [para(19(a,1),5412(a,1,2,2)),flip(a)]. 5421 K(x,T(y,x * z)) = K(x,T(y,z)). [para(16(a,1),5414(a,1,2,2)),flip(a)]. 5422 K(x,T(y,z \ 1)) = K(x,T(y,z \ x)). [para(3785(a,1),5420(a,1,2))]. 5423 K(x * y,T(z,x \ 1)) = K(x * y,T(z,y)). [para(3786(a,1),5420(a,1,2))]. 5424 K(T(x,(y \ z) \ u),z \ (y * u)) = K(x,L((y \ z) \ u,y \ z,y)). [para(359(a,1),5397(a,1,2))]. 5425 K(x,y) * T(x,T(z,y)) = T(T(x,y),z). [hyper(4670,a,5406,a)]. 5426 T(x,T(y,T(T(x,z),u))) = T(x,y). [hyper(189,a,4403,a,b,5418,a)]. 5427 T(x * K(y,x),T(z,T(x,u))) = T(x * K(y,x),z). [para(4374(a,1),5426(a,1,2,2,1))]. 5429 K(x / y,T(z,y)) != u | K(y \ x,z) = u. [para(17(a,1),5415(a,1,1,1))]. 5430 K(x,T(y,z)) != u | K(T(x,z),y) = u. [para(143(a,1),5415(a,1,1))]. 5431 T(K(x,y),z) != u | K(T(x,z),y) = u. [para(5334(a,1),5430(a,1))]. 5434 K(T(x,x \ y),z) != u | K(T(x,y),z) = u. [para(5222(a,2),5431(a,1))]. 5438 K(T(x \ 1,x * y),z) != u | K(T(x \ 1,y),z) = u. [para(3612(a,1),5434(a,1,1))]. 5440 T(x,x \ 1) * K(y,x) = (x * (K(y,x) / x)) * x. [para(2943(a,1),5134(a,1,1)),flip(a)]. 5441 T(x,y) / (z \ x) = z * K(((z \ x) \ 1) \ z,y). [hyper(4189,a,5211,a)]. 5442 K((x \ 1) \ y,x) = K(x * y,x). [hyper(20,a,5198,a(flip),b,5211,a(flip))]. 5443 T(x * L(x \ (x * y),z,u),x) = x * L(y * K((x \ 1) \ y,x),z,u). [para(5211(a,1),1352(a,2,2,1))]. 5445 T(x * K((y \ 1) \ x,z),y) = y \ T(x * y,z). [para(5211(a,1),4161(a,1,1))]. 5446 L(K(x * y,x) * K(z * y,K(x * y,x)),y,z) = (z * (T(x * y,x) / T(x,y))) / (z * y). [para(5247(a,2),4490(a,2,1,2))]. 5447 (x / (y / z)) * K(z,z \ y) = x / (z \ y). [hyper(3929,a,5254,a)]. 5450 T(x / (y / z),K(z,z \ y)) != u | K(z \ y,z) * (x / (z \ y)) = u. [para(5254(a,1),4630(a,1,1))]. 5451 (x * ((y / z) / x)) * z = y * K(x,(x * z) \ y). [hyper(189,a,1786,a(flip),b,5269,a),flip(a)]. 5452 ((x \ y) * z) * K(x,T(x \ y,z)) = (y / x) * z. [hyper(189,a,4303,a(flip),b,5281,a)]. 5453 (x * (y / z)) * K(z \ y,z) = x * (z \ y). [hyper(3929,a,5303,a)]. 5456 (x \ y) \ (T(x,z) \ y) = K(z,T(x,y)). [hyper(189,a,5335,a(flip),b,5366,a)]. 5457 (x \ y) * K(z,T(x,y)) = T(x,z) \ y. [para(5456(a,1),17(a,1,2))]. 5458 T(T(T(x,y) / (T(x,y) / y),x),z) = L(T(y,z),y \ T(x,y),y). [para(5375(a,1),3644(a,1,1))]. 5459 T(x * K(y,x),T(T(z,x),u)) = T(x * K(y,x),T(z,u)). [para(41(a,1),5376(a,1,2))]. 5460 K(x,y) * (z * x) = z * T(x,T(y,z)). [hyper(5189,a,5413,a),flip(a)]. 5461 K(x,K(y,z)) * (T(y,u) * x) = T(y,u) * T(x,K(y,z)). [para(2662(a,1),5460(a,2,2,2))]. 5463 (x / (y / z)) * (z \ y) = x * K(z \ y,z). [hyper(252,a,5453,a),flip(a)]. 5466 K((x \ y) \ 1,z) != u | K(y \ x,z) = u. [para(4523(a,1),5217(a,1))]. 5467 K((x / y) \ 1,y) != z | K(x \ y,y) = z. [para(4761(a,1),5217(a,1))]. 5469 K((K(x,y) * z) \ 1,u) != w | K(z \ K(y,x),u) = w. [para(3889(a,1),5466(a,1,1,1))]. 5470 K(x / y,x) != z | K(y \ x,x) = z. [para(4760(a,1),5467(a,1))]. 5471 T(x,(y \ z) \ 1) = T(x,z \ y). [hyper(5233,a,4371,a(flip))]. 5472 T(x,(y * z) \ y) = T(x,z \ 1). [para(16(a,1),5471(a,1,2,1)),flip(a)]. 5474 T(x,(y * (z * u)) \ (y * z)) = T(x,L(u,z,y) \ 1). [para(31(a,2),5471(a,1,2,1)),flip(a)]. 5475 (1 / (x \ y)) * T(z,y \ x) = z * (1 \ (1 / (x \ y))). [para(5471(a,1),2690(a,1,2))]. 5476 K(x,T(y,(z \ u) \ y)) = K(x,T(y,u \ z)). [para(5471(a,1),5357(a,1,2)),flip(a)]. 5477 K(x,T(y,(z \ u) \ x)) = K(x,T(y,u \ z)). [para(5471(a,1),5422(a,1,2)),flip(a)]. 5479 R(x,T(y,z),T(z,y)) = R(x,y,z). [hyper(385,a,5241,a),flip(a)]. 5480 R(x,T(y,z),T(z,y)) != u | R(x,y,z) = u. [para(5241(a,1),385(a,1))]. 5482 R(T(x,y),T(z,u),T(u,z)) = T(R(x,z,u),y). [hyper(189,a,45,a(flip),b,5479,a)]. 5484 T(R(x,y,z),u) != w | R(T(x,u),y,z) = w. [para(5482(a,1),5480(a,1))]. 5486 K(x * y,K(x,z)) = K(y,K(x,z)). [hyper(5350,a,5282,a),flip(a)]. 5487 K(x * y,K(y,z)) = K(x,K(y,z)). [hyper(189,a,4878,a,b,5486,a(flip)),flip(a)]. 5488 K(T(x,y),z) != u | K(x,T(z,y)) = u. [para(3877(a,1),5403(a,1))]. 5490 T(K(x,y),z) != u | K(x,T(y,z)) = u. [para(5379(a,1),5488(a,1))]. 5491 K(x,(y \ z) \ z) != u | K(x,T(y,z)) = u. [para(5273(a,2),5490(a,1))]. 5492 K(x,T(y,y \ z)) != u | K(x,T(y,z)) = u. [para(5277(a,2),5490(a,1))]. 5493 T(K(x,y),z * y) != u | K(x,T(y,z)) = u. [para(5344(a,2),5490(a,1))]. 5494 K(x,T(y,x \ z)) != u | K(x,T(y,z)) = u. [para(5392(a,2),5490(a,1))]. 5495 (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) != u | K(z,T(x,y)) = u. [para(527(a,2),5491(a,1))]. 5496 K(x,(L(y,z,u) * (y \ w)) \ (L(y,z,u) * w)) != v5 | K(x,T(y,L(y,z,u) * w)) = v5. [para(961(a,1),5491(a,1,2,1))]. 5497 K(x,T(y,z \ 1)) != u | K(x,T(y,z \ y)) = u. [para(3749(a,1),5492(a,1,2))]. 5498 K(x,T(y,z * y)) != u | K(x,T(y,z)) = u. [para(5334(a,2),5493(a,1))]. 5499 K(x,T(y,y * z)) != u | K(x,T(y,z)) = u. [para(3507(a,1),5498(a,1,2))]. 5500 x * K(T(y,z),u) != w | x * K(y,T(u,z)) = w. [para(3890(a,1),5405(a,1))]. 5501 x * T(K(y,z),u) != w | x * K(y,T(z,u)) = w. [para(5379(a,1),5500(a,1,2))]. 5502 L(K((x \ 1) \ (x \ y),z),x \ y,(x \ y) \ 1) / (x \ T(y,z)) = 1 / (x \ y). [para(5212(a,1),2375(a,1,2))]. 5505 T(L(x \ 1,x,y) \ 1,z) = ((y * x) \ y) \ K(x,z). [para(140(a,2),5237(a,1,1,1))]. 5508 K(((x * y) \ x) \ 1,z) * ((((x * y) \ x) \ K(y,z)) \ u) = (((x * y) \ x) \ 1) \ u. [para(5237(a,1),4541(a,1,2,1))]. 5509 K(x,((T(y,x) / z) \ 1) \ ((T(y,x) / z) \ y)) = z \ ((T(y,x) / z) \ y). [para(69(a,1),5244(a,2,1))]. 5510 T(x \ y,z) * ((y \ x) * K(z,x \ y)) = (x \ y) * (y \ x). [para(5276(a,1),4412(a,1,2))]. 5511 T(x,(y * z) \ z) != u | T(x,z \ (y \ z)) = u. [para(5290(a,1),4467(a,1))]. 5512 T(x,T(y \ 1,z)) != u | T(x,z \ (y \ z)) = u. [para(4244(a,2),5511(a,1,2))]. 5513 R(x,K(y,z),T(z,u)) = x. [hyper(376,a,5296,a)]. 5514 x / (K(y,z) * T(z,u)) = (x / T(z,u)) * K(z,y). [hyper(189,a,3924,a(flip),b,5513,a(flip)),flip(a)]. 5515 L(K(x,T(y,z)),y,u) = K(x,T(y,z)). [hyper(346,a,5359,a)]. 5516 R(x,x \ K(y,x),x) = T(x,x \ 1). [hyper(21,a,3768,a,b,5440,a),flip(a)]. 5517 R(x,T(x,y) \ 1,x) = T(x,x \ 1). [para(4364(a,2),5516(a,1,2))]. 5518 R(T(x,y),T(x,z) \ 1,x) = T(T(x,x \ 1),y). [para(5517(a,1),45(a,2,1))]. 5519 T(T(x,x \ 1),y) \ x = (T(x,y) \ 1) * x. [para(5518(a,1),313(a,1,1))]. 5520 T((x \ 1) \ 1,y) \ x = (T(x,y) \ 1) * x. [para(114(a,1),5519(a,1,1,1))]. 5521 (K(x,x \ (y / z)) * (y / z)) * z = y * K(x,(x * z) \ y). [para(4314(a,2),5451(a,1,1))]. 5522 x / (T(y,z) * K(u,y)) = (x / T(y,z)) * K(y,u). [para(2759(a,2),5514(a,1,2))]. 5523 T(x * y,K(y,z)) = y * T(x,T(y,z)). [hyper(5168,a,4569,a)]. 5526 L(K(x \ y,z),y,u) = K((u * x) \ (u * y),z). [hyper(189,a,5235,a(flip),b,5228,a(flip)),flip(a)]. 5527 L(K((x \ y) \ z,u),z,x) = K(y \ (x * z),u). [para(17(a,1),5526(a,2,1,1))]. 5528 L(K(x \ (y \ z),u),y \ z,y) = K((y * x) \ z,u). [para(17(a,1),5526(a,2,1,2))]. 5529 K((x * (y / z)) \ (x * y),u) = L(K(z,u),y,x). [para(69(a,1),5526(a,1,1,1)),flip(a)]. 5530 L(K(x \ T(y,z),u),T(y,z),z) = K((z * x) \ (y * z),u). [para(113(a,1),5526(a,2,1,2))]. 5531 L(K(x \ y,z),y,u) = K(L(x \ y,x,u),z). [para(104(a,2),5526(a,2,1))]. 5532 L(K(x * y,x),y,z) = K((z * (x \ 1)) \ (z * y),x). [para(5442(a,1),5526(a,1,1))]. 5533 K(L(x \ y,x,z),y) = K(x \ y,y). [hyper(5327,a,5531,a),flip(a)]. 5534 K(L(x \ y,x,K(y,z)),u) = K(x \ y,u). [hyper(3714,a,5531,a)]. 5535 K((x \ y) \ z,z) = K(y \ (x * z),z). [para(359(a,1),5533(a,1,1)),flip(a)]. 5536 K(L(x \ y,T(x,z),z),y) = K(x \ y,y). [para(4933(a,1),5533(a,1,1))]. 5537 K(x \ y,K(y,z) * x) * (K(y,z) * (x * (x \ y))) = L(x \ y,x,K(y,z)) * (K(y,z) * x). [para(5534(a,1),4472(a,1,1))]. 5538 K((x \ y) \ z,T(z,u)) = K(y \ (x * z),T(z,u)). [hyper(189,a,5515,a(flip),b,5527,a(flip)),flip(a)]. 5539 (x * y) * K(z \ (x * y),u) = x * (y * K((x \ z) \ y,u)). [para(5527(a,1),102(a,1,2))]. 5540 K(L(x,y / x,z),u) = L(K(x,u),y,z). [para(105(a,2),5529(a,1,1))]. 5541 L(K(x,y),z * x,u) = K(L(x,z,u),y). [para(18(a,1),5540(a,1,1,2)),flip(a)]. 5542 K(L(x,y / T(x,y),z),u) = L(K(x,u),T(y,x),z). [para(3523(a,1),5540(a,1,1,2))]. 5543 L(K(x,y),z,u) \ 1 != w | K(y,L(x,z / x,u)) = w. [para(5540(a,1),3872(a,1,1))]. 5544 K(L(x,y,z),y * x) = K(x,y * x). [hyper(5327,a,5541,a),flip(a)]. 5545 L(K(x,y),z * K(u,x),w) = K(L(x,z / T(x,u),w),y). [para(5176(a,1),5541(a,1,2))]. 5546 K(L(x,y,z),y * x) = K(x,x * y). [hyper(189,a,4576,a(flip),b,5544,a)]. 5547 K(L(x,y,z),y * x) != u | K(x,x * y) = u. [para(5544(a,2),4577(a,1))]. 5548 K(x,(T(y,z) * (y \ u)) \ 1) != w | K(x,u \ K(z,y)) = w. [para(4377(a,2),5319(a,1,2,1))]. 5549 R(T(K(x,y),y * z),y,z) = K(x,((y * z) \ z) \ 1). [hyper(189,a,4996,a,b,5322,a(flip)),flip(a)]. 5551 T(L(x \ 1,x,y) \ 1,x * L(x \ 1,z,u)) = ((y * x) \ y) \ 1. [para(1342(a,1),5505(a,2,2))]. 5552 K((x * y) \ 1,x) = K(y \ (x \ 1),x). [hyper(189,a,3142,a(flip),b,5528,a(flip))]. 5553 K(x / ((y * z) * x),y) = K(z \ (y \ 1),y). [hyper(189,a,4765,a,b,5552,a(flip)),flip(a)]. 5554 ((x \ (1 / y)) * x) * y = K(y \ (x \ 1),x). [hyper(189,a,4527,a,b,5552,a(flip)),flip(a)]. 5556 K(K(x,x \ 1) * y,z) = K(y,z). [hyper(20,a,4396,a(flip),b,5162,a),flip(a)]. 5560 K(x * K(y \ 1,y),z) = K(x,z). [para(2480(a,1),5556(a,1,1)),flip(a)]. 5561 K(x * ((y \ 1) \ 1),z) = K(x * y,z). [para(2501(a,1),5556(a,1,1))]. 5563 K(x \ T(y,y \ 1),z) = K(x \ y,z). [para(3454(a,1),5556(a,1,1))]. 5564 K(x \ (1 / y),z) = K(x \ (y \ 1),z). [para(4107(a,1),5556(a,1,1))]. 5565 K(x * (((x \ y) \ 1) \ 1),z) = K(y,z). [para(1998(a,1),5560(a,1,1))]. 5566 K((K(x,x \ 1) * y) \ z,u) = K(y \ z,u). [para(4120(a,2),5560(a,1,1))]. 5567 K(x \ (y * ((z \ 1) \ 1)),u) = K(x \ (y * z),u). [para(4105(a,1),5560(a,1,1)),flip(a)]. 5568 K(x * R(1 / y,z,u),w) = K(x * R(y \ 1,z,u),w). [para(3104(a,1),5561(a,1,1,2)),flip(a)]. 5569 K((T(x,x \ 1) \ y) \ 1,z) = K(y \ x,z). [hyper(189,a,5209,a,b,5563,a(flip)),flip(a)]. 5570 T(x,y) / ((1 / z) \ x) = (1 / z) * K((((1 / z) \ x) \ 1) \ (z \ 1),y). [para(5564(a,1),5441(a,2,2))]. 5571 K((x * ((y \ 1) \ 1)) \ z,u) = K((x * y) \ z,u). [para(2501(a,1),5566(a,1,1,1))]. 5572 K((x * (K(y,y \ 1) * z)) \ u,w) = K((x * z) \ u,w). [para(4117(a,1),5566(a,1,1,1))]. 5573 K((((1 / x) \ y) \ z) \ u,w) = K((((x \ 1) \ y) \ z) \ u,w). [para(4133(a,1),5566(a,1,1,1))]. 5574 K(x \ ((y \ 1) * y),z) = K(x \ 1,z). [para(17(a,1),5567(a,1,1,2)),flip(a)]. 5575 L(K(x \ y,z),y,y \ 1) = K(((y \ 1) * x) \ 1,z). [hyper(189,a,5526,a,b,5574,a(flip)),flip(a)]. 5576 (1 / x) * K(y \ (x \ 1),z) = K((y * x) \ 1,z) / x. [para(5564(a,1),5236(a,1,2))]. 5577 (((x \ y) \ 1) \ x) * ((x \ y) \ 1) = y * (x / y). [hyper(189,a,3903,a(flip),b,5272,a)]. 5578 T(x,x \ y) / (y \ x) = x * (y / x). [hyper(189,a,4954,a,b,5577,a(flip)),flip(a)]. 5579 (x * (y / x)) * (y \ x) = T(x,x \ y). [para(5578(a,1),19(a,1,1))]. 5580 T((x * K(y,x)) * K(y,x * K(y,x)),T(y,z)) = (T(y,x) * T(x,T(y,z))) / y. [hyper(76,a,5377,a(flip),b,4423,a),flip(a)]. 5581 T(x,y) * T(y * K(x,y),T(T(x,y),z)) = T(T(x,y),y) * T(y,T(T(x,y),z)). [para(3876(a,1),5377(a,1,2,1,2))]. 5582 T(x,T(y,T(x,z))) * T(y,T(x,u)) = x * T(y * K(x,y),T(x,u)). [para(5373(a,2),5377(a,2,1)),flip(a)]. 5583 (1 / ((x * y) \ x)) * T(z,y) = z * (1 \ (1 / ((x * y) \ x))). [para(16(a,1),5475(a,1,2,2))]. 5584 K((x * ((T(y,x) \ 1) * y)) \ z,u) = K(T(x,y) \ z,u). [para(4790(a,1),5572(a,1,1,1)),flip(a)]. 5585 K((x * y) \ 1,y) = K(x \ (y \ 1),y). [hyper(20,a,3143,a,b,5576,a),flip(a)]. 5586 L(K(x \ (y \ 1),y),z,u) = K(L(x * y,z,u) \ 1,y). [para(5585(a,1),4824(a,1,1))]. 5588 L(x \ 1,x,y * K(x,z)) != u | L(x \ 1,T(x,z),y) = u. [para(5143(a,2),4503(a,1))]. 5590 (x * (y / x)) / T(y,z) = K(z,y) * K(x,x \ y). [hyper(5313,a,5368,a)]. 5591 K(x,T(x * y,L(z,y,x))) = K(x,T(x * y,y * z)). [hyper(189,a,5421,a(flip),b,5356,a(flip))]. 5592 K(x,(T(y,z) * u) \ y) = K(x,u \ K(z,y)). [hyper(5548,a,5264,a),flip(a)]. 5593 K(x,(T(y,z) \ u) \ K(z,y)) = K(x,u \ y). [para(17(a,1),5592(a,1,2,1)),flip(a)]. 5594 x \ T(x * K(y \ 1,y),y) = T((T(y,x) \ 1) * y,x). [para(4635(a,1),5200(a,2,1))]. 5595 x \ T(x * K(y \ 1,y),y) = (T(y,x) \ 1) * y. [hyper(189,a,4990,a(flip),b,5594,a)]. 5596 (((x / y) * T(y,z)) * u) \ (x * u) = K(z,((x / y) * u) \ (x * u)). [para(69(a,1),5245(a,1,1,1,2,1))]. 5597 (K(x,x \ (y / z)) * (y / z)) * z = K(x,((x * z) / y) \ 1) * y. [hyper(189,a,5270,a,b,5521,a)]. 5598 (x * y) * z != x * (y * K((x \ u) \ y,w)) | K(u \ (x * y),w) = z. [para(5539(a,1),22(a,1)),flip(a)]. 5599 (1 / ((x * y) \ x)) * T(z,y) = z * (1 / ((x * y) \ x)). [para(58(a,1),5583(a,2,2))]. 5600 T(1 / ((x * y) \ x),y) = 1 / ((x * y) \ x). [hyper(260,a,5599,a),flip(a)]. 5601 T(T(1 / ((x * y) \ x),z),y) = T(1 / ((x * y) \ x),z). [hyper(20,a,173,a(flip),b,5599,a)]. 5602 T(T(x * K(x \ y,x),y),z) = L(T(x,z),x \ T(y,x),x). [para(4337(a,1),5458(a,1,1,1))]. 5603 L(T(x,y),x \ T(z,x),x) = T(L(x,x \ z,x),y). [para(4336(a,1),5602(a,1,1)),flip(a)]. 5604 L(T(x,y),x \ T(z,x),x) = L(T(x,y),x \ z,x). [hyper(189,a,43,a,b,5603,a)]. 5605 L(R(T(x,y),z,u),x \ T(w,x),x) = R(L(T(x,y),x \ w,x),z,u). [para(5604(a,1),47(a,1,1)),flip(a)]. 5606 K(x,((y / z) * u) \ (y * u)) = ((y * K(z,x)) * u) \ (y * u). [para(5140(a,1),5596(a,1,1,1)),flip(a)]. 5607 ((x * K(y,z)) * u) * K(z,((x / y) * u) \ (x * u)) = x * u. [para(5606(a,2),17(a,1,2))]. 5608 K(((x / y) * z) \ (x * z),u) = (x * z) \ ((x * K(y,u)) * z). [para(5607(a,1),3918(a,1,1)),flip(a)]. 5609 (x * y) \ ((x * K(z,u)) * y) != w | K(((x / z) * y) \ (x * y),u) = w. [para(5607(a,1),3922(a,1,1))]. 5610 R(K(x,x \ (y / z)),y / z,z) = K(x,((x * z) / y) \ 1). [hyper(590,a,5597,a)]. 5611 L(R(T(x,y),z,u),x \ T(w,x),x) = L(R(T(x,y),z,u),x \ w,x). [hyper(189,a,47,a(flip),b,5605,a)]. 5612 R(T(K(x \ y,y),y * z),y,z) = K(((y * z) \ (x * z)) \ 1,y). [hyper(189,a,4752,a(flip),b,5219,a)]. 5613 K(((x * y) \ (z * y)) \ 1,x) = K(z \ x,((x * y) \ y) \ 1). [hyper(189,a,5549,a(flip),b,5612,a(flip))]. 5614 K(x \ y,((y * z) \ z) \ 1) = K((x * z) \ (y * z),y). [hyper(5466,a,5613,a),flip(a)]. 5615 K((x * y) \ (z * y),z) = K(x \ z,y \ (z * y)). [hyper(5259,a,5614,a),flip(a)]. 5616 K((x * y) \ (z * y),z) = K(x \ z,T(z,y)). [para(35(a,2),5615(a,2,2))]. 5617 K((x / y) \ z,T(z,y)) = K(x \ (z * y),z). [para(19(a,1),5616(a,1,1,1)),flip(a)]. 5618 K(T(x,(y \ z) \ u),z \ (y * u)) = K(x,z \ (y * u)). [para(359(a,1),5424(a,2,2))]. 5619 L(x * K(y \ z,z \ y),u,w) = L(x,u,w) * K(y \ z,z \ y). [para(1992(a,1),5082(a,1,1,2))]. 5620 K(x \ y,L(y \ x,z,u)) = K(x \ y,y \ x). [hyper(4740,a,5619,a)]. 5621 K(x \ L(x,y,z),L(x,y,z) \ x) = K(x \ L(x,y,z),a(z,y,x)). [para(1704(a,2),5620(a,1,2)),flip(a)]. 5622 x / L((x \ 1) \ 1,y,z) = (L(x,y,z) \ 1) * x. [hyper(5100,a,5099,a),flip(a)]. 5623 ((L(x,y,z) \ 1) * x) \ x = L((x \ 1) \ 1,y,z). [para(5622(a,1),69(a,1,1))]. 5624 (x * y) * K(((x * y) \ (z * y)) \ 1,u) = (x * K((x \ z) \ 1,u)) * y. [para(4756(a,1),5109(a,2,1))]. 5625 x * L(y * K((x \ 1) \ y,x),z,u) = T(x * L(y,z,u),x). [para(16(a,1),5443(a,1,1,2,1)),flip(a)]. 5626 x * L(y * K(x * y,x),z,u) = T(x * L(y,z,u),x). [para(5442(a,1),5625(a,1,2,1,2))]. 5627 x * L(y * K(y * x,x),z,u) = T(x * L(y,z,u),x). [para(4617(a,2),5626(a,1,2,1,2))]. 5628 L(x,y,z) * K(u * L(x,y,z),u) = L(x * K(x * u,u),y,z). [hyper(20,a,5248,a,b,5627,a),flip(a)]. 5629 (x * (y * z)) \ ((x * y) * L(z * K(z * u,u),y,x)) = L(K(u * L(z,y,x),u),L(z,y,x),x * y). [para(5628(a,1),347(a,1,2,2))]. 5630 T(x,y) / ((1 / z) \ x) = (1 / z) * K((((z \ 1) \ x) \ 1) \ (z \ 1),y). [para(5573(a,1),5570(a,2,2))]. 5631 x * K((x \ (x \ (y * x))) \ 1,z) = T(x * K((x \ y) \ 1,z),x). [hyper(147,a,5624,a(flip),b,4942,a(flip)),flip(a)]. 5633 T(x * K((x \ y) \ 1,z),x) = x * K((x \ T(y,x)) \ 1,z). [para(35(a,2),5631(a,1,2,1,1,2)),flip(a)]. 5634 T(x * K((x \ y) \ 1,z),x) = T(y,x) * T(T(y,x) \ x,z). [hyper(189,a,4524,a,b,5633,a)]. 5635 T(x,y) * T(T(x,y) \ y,z) = T(y * K(x \ y,z),y). [para(5209(a,1),5634(a,1,1,2)),flip(a)]. 5636 x \ T(x * K(y \ x,z),x) = K(T(y,x) \ x,z). [hyper(75,a,5635,a(flip),b,5160,a(flip))]. 5637 K(T(x / y,x) \ x,z) = x \ T(x * K(y,z),x). [para(69(a,1),5636(a,1,2,1,2,1)),flip(a)]. 5638 T(x,y) / ((1 / z) \ x) = K(((((z \ 1) \ x) \ 1) * z) \ 1,y) / z. [hyper(189,a,5576,a(flip),b,5630,a)]. 5639 R((x \ (1 / y)) * x,y,z) * (y * z) = (y * z) * ((x \ ((y * z) \ z)) * x). [para(3270(a,2),4193(a,1,1))]. 5640 (x * y) * (z * (L(y \ 1,y,x) / z)) = (x * y) * (z * (((x * y) \ x) / z)). [hyper(189,a,4185,a(flip),b,4195,a(flip))]. 5641 (x * T(K(y,z),u)) * T(K(z,y),u) = R(x,T(K(y,z),u),T(K(z,y),u)). [para(4266(a,1),4276(a,1,3)),flip(a)]. 5642 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(5641(a,1),23(a,1))]. 5643 T(x * K(y,x),y * R(x,z,u)) = L(x,y,R(x * K(y,x),z,u)). [para(4426(a,1),4428(a,1,2))]. 5644 T(x * K(y,x),y * R(x,y,x)) = L(x,y,x * K(y * x,x)). [para(4812(a,1),5643(a,2,3))]. 5645 T(x * K(y,x),T(x * y,x)) = L(x,y,x * K(y * x,x)). [para(3668(a,1),5644(a,1,2))]. 5646 L(x,y,x * K(y * x,x)) = T(x * K(y,x),x * y). [hyper(189,a,5376,a(flip),b,5645,a(flip))]. 5647 K(R(x,y,z),T(T(x,u) * u,w)) = K(R(x,y,z),T(x * u,w)). [hyper(189,a,4448,a(flip),b,4862,a)]. 5648 T((x \ L(y,y \ z,y)) * x,T(z,y) / y) = (x \ T(y,z)) * x. [para(3553(a,1),4899(a,2,1,2))]. 5649 T((x \ L(y,y \ z,y)) * x,T(z,y) / y) != u | T((x \ y) * x,z) = u. [para(5648(a,2),4155(a,1))]. 5650 T(T(x * K(y * L(x,z,u),x),w),y) = R(T(x,w),y,L(x,z,u)). [para(16(a,1),5047(a,2,1,1))]. 5651 T(T(x * K(y * R(x,z,u),x),w),y) = R(T(x,w),y,R(x,z,u)). [para(16(a,1),5052(a,2,1,1))]. 5652 K(((x * y) * z) \ (y * z),R(T(x,u),y,z)) = K(R(x,y,z) \ 1,R(x,y,z)). [para(45(a,2),5289(a,1,2))]. 5653 (x * y) * ((z \ ((x * y) \ y)) * z) = (((z \ (1 / x)) * z) * x) * y. [hyper(204,a,5639,a),flip(a)]. 5654 (x * y) * ((z \ ((x * y) \ y)) * z) = K(x \ (z \ 1),z) * y. [para(5554(a,1),5653(a,2,1))]. 5655 K(x,y / (x / ((z * y) \ 1))) = y / (K(z \ (x \ 1),x) * y). [para(5654(a,1),5043(a,1,2)),flip(a)]. 5656 K(x,y / (x / ((z * y) \ 1))) != u | K(x,z \ (x \ 1)) = u. [para(5655(a,2),3910(a,1))]. 5657 K(x,(y * x) \ 1) = K(x,y \ (x \ 1)). [hyper(5656,a,4598,a),flip(a)]. 5658 (x * y) * L(z * ((y \ 1) / z),y,x) = (x * y) * (z * (((x * y) \ x) / z)). [para(5117(a,2),5640(a,1,2))]. 5659 K(((x * y) * z) \ (y * z),R(T(x,u),y,z)) = K(x \ 1,x). [hyper(189,a,3174,a(flip),b,5652,a)]. 5661 K(x \ 1,x) * ((y * z) / ((x * y) * z)) = (((y * z) / ((x * y) * z)) \ 1) \ 1. [para(5659(a,1),3024(a,1,1))]. 5662 (x * y) * (z * (((x * y) \ x) / z)) = x * (y * (z * ((y \ 1) / z))). [hyper(207,a,5658,a),flip(a)]. 5663 ((x * (y / x)) \ T(y,z)) * (x * (y / x)) = T(y,z). [para(3946(a,1),4343(a,1,1,2,1))]. 5664 T(x,y) / (z * (x / z)) = (z * (x / z)) \ T(x,y). [hyper(88,a,5663,a)]. 5665 T(x,y) / (T(x,y) / (z * (x / z))) = z * (x / z). [para(5664(a,2),67(a,1,2))]. 5666 K(x,R(y,z,u) \ 1) * (z * u) = (K(x,y \ 1) * z) * u. [para(4643(a,1),4917(a,1,1))]. 5667 R(K(x,y \ 1),z,u) = K(x,R(y,z,u) \ 1). [hyper(21,a,110,a,b,5666,a),flip(a)]. 5668 K(x,R(y \ 1,z,u) \ 1) = R(K(x,y),z,u). [para(3081(a,1),5667(a,1,1)),flip(a)]. 5670 K(x,R(y / z,u,w) \ 1) = R(K(x,z / y),u,w). [para(4773(a,1),5667(a,1,1)),flip(a)]. 5671 R(K(x,y \ (x \ 1)),z,u) = K(x,R(y * x,z,u) \ 1). [para(5657(a,1),5667(a,1,1))]. 5672 R(K(x,y),z,u) \ w = R(K(y,x),z,u) * w. [para(5668(a,1),4822(a,1,1)),flip(a)]. 5673 (x * y) / ((K(z,u) * x) * y) = R(K(u,z),x,y). [hyper(460,a,5672,a)]. 5674 (x * y) / (((z \ x) * z) * y) = R(K(z,z \ x),x,y). [para(4291(a,1),5673(a,1,2,1))]. 5675 (x * y) / ((z * (x / z)) * y) = R(K(z \ x,z),x,y). [para(4314(a,1),5673(a,1,2,1))]. 5676 ((x * y) * z) / ((x * T(y,T(u,x))) * z) = R(K(u,y),x * y,z). [para(5460(a,1),5673(a,1,2,1))]. 5677 R(K(x,y / z),y,u) = K(x,(y * u) / (z * u)). [hyper(4782,a,5670,a),flip(a)]. 5678 R(K(x,(y / z) / u),y / z,z) = K(x,y / (u * z)). [para(19(a,1),5677(a,2,2,1))]. 5679 R(K(x,y / (z / u)),y,u) = K(x,(y * u) / z). [para(19(a,1),5677(a,2,2,2))]. 5680 K(x,(y * z) / ((u \ y) * z)) = R(K(x,u),y,z). [para(67(a,1),5677(a,1,1,2)),flip(a)]. 5681 R(K(x,(y / z) \ x),x,z) = K(x,(x * z) / y). [para(4596(a,1),5679(a,1,1))]. 5682 K(x,R(y,y \ z,u)) = R(K(x,y),z,u). [para(108(a,2),5680(a,1,2))]. 5683 R(K(x,y),y * z,u) = K(x,R(y,z,u)). [para(16(a,1),5682(a,1,2,2)),flip(a)]. 5684 R(K(x,R(y,z,u)),(y * z) * u,w) = K(x,R(R(y,z,u),z * u,w)). [para(133(a,1),5682(a,1,2,2)),flip(a)]. 5685 K(R(x,y * z,u) \ 1,y) = K(x \ 1,R(y,z,u)). [hyper(4937,a,5683,a)]. 5686 R(T(K(x,y),z),y * u,w) = T(K(x,R(y,u,w)),z). [para(5683(a,1),45(a,2,1))]. 5687 K(x,(x * y) / z) != u | K(x,(z / y) \ x) = u. [para(5681(a,1),3747(a,1))]. 5688 R(T(K(x,y),z),y * u,w) = K(x,T(R(y,u,w),z)). [hyper(189,a,5334,a,b,5686,a)]. 5689 R(T(K(x,y),z),y * u,w) = K(x,R(T(y,z),u,w)). [para(45(a,2),5688(a,2,2))]. 5690 R(K(x,T(y,z)),y * u,w) = K(x,R(T(y,z),u,w)). [para(5334(a,2),5689(a,1,1))]. 5691 K(x,R(T(y,z),y \ u,w)) = R(K(x,T(y,z)),u,w). [para(17(a,1),5690(a,1,2)),flip(a)]. 5692 R(K(x,y),(y * K(z,y)) * u,w) = K(x,R(T(y * K(z,y),z),u,w)). [para(4374(a,1),5690(a,1,1,2))]. 5693 R(K(x,x \ (y / z)),y / z,z) = y / (((x \ (y / z)) * x) * z). [hyper(189,a,185,a(flip),b,5674,a(flip))]. 5694 x / (((y \ (x / z)) * y) * z) = K(y,((y * z) / x) \ 1). [hyper(189,a,5610,a(flip),b,5693,a(flip))]. 5695 x / (y * ((z \ (y \ x)) * z)) = K(z,((z * y) / x) \ 1). [para(4183(a,1),5694(a,1,2))]. 5696 x / (y * ((z \ (y \ x)) * z)) = K(z,x / (z * y)). [hyper(189,a,4773,a(flip),b,5695,a)]. 5697 K(x,y / (x / (z \ 1))) = K(x,y / (x * z)). [hyper(189,a,5043,a(flip),b,5696,a(flip)),flip(a)]. 5698 x / (((y \ z) * y) * (z \ x)) = K(y,x / (y * (z \ x))). [para(4191(a,1),5696(a,1,2))]. 5699 K(x,y / (x * (z * y))) = K(x,z \ (x \ 1)). [hyper(5656,a,5697,a),flip(a)]. 5700 K(x,y / (x * (z * y))) != u | K(x,z \ (x \ 1)) = u. [para(5697(a,1),5656(a,1))]. 5701 K(x,(y * z) / (x * ((u * y) * z))) != w | K(x,R(u,y,z) \ (x \ 1)) = w. [para(110(a,1),5700(a,1,2,2,2))]. 5702 (x * y) / (((z \ R(R(1 / u,u,x),u * x,y)) * z) * ((u * x) * y)) = K(z,(x * y) / (z * (R(R(1 / u,u,x),u * x,y) \ (x * y)))). [para(452(a,1),5698(a,1,2,2))]. 5703 R(K(x,y),y * (K(z,y) * u),w) = K(x,R(T(y * K(z,y),z),u,w)). [para(3828(a,1),5692(a,1,2))]. 5704 K(x,R(T(y * K(z,y),z),u,w)) = K(x,R(y,K(z,y) * u,w)). [hyper(189,a,5683,a(flip),b,5703,a(flip))]. 5705 K(x,R(y,K(z,y) * u,w)) = K(x,R(y,u,w)). [para(4374(a,1),5704(a,1,2,1)),flip(a)]. 5706 K(x,R(y,K(y,z) * u,w)) = K(x,R(y,u,w)). [para(3887(a,1),5705(a,1,2,2)),flip(a)]. 5707 K(R(x,K(x,y) * z,u),w) = (v5 * K(w,R(x,z,u))) \ v5. [para(5706(a,1),3918(a,1,1,2)),flip(a)]. 5708 K(R(x,K(x,y) * z,u),w) != v5 | K(R(x,z,u),w) = v5. [para(5707(a,2),3922(a,1))]. 5709 T(x,T(y * K(x,y),T(x,z))) * T(y * K(x,y),T(x,u)) = x * ((T(x,y) * T(y,T(x,u))) / x). [para(5580(a,1),5582(a,2,2))]. 5710 T(T(x,y),y) * T(y,T(T(x,y),z)) = T(x,y) * T(y * K(x,y),T(x,z)). [para(5459(a,1),5581(a,1,2)),flip(a)]. 5711 T(x,y) * T(y * K(x,y),T(x,z)) = T(T(x,y),y) * T(y,T(x,z)). [para(3531(a,1),5710(a,1,2)),flip(a)]. 5712 (T(T(x,y),y) * T(y,T(x,z))) / K(x,T(y * K(x,y),T(x,z))) = T(x,y) * T(y,T(x,z)). [para(5711(a,1),5185(a,1,1))]. 5714 (x \ R(x,y,z)) * K((R(x,y,z) \ 1) \ 1,u) = x \ R(T(x,u),y,z). [para(2962(a,1),4914(a,1,2,1,1))]. 5715 (x \ R(x,y,z)) * K(R(x,y,z),u) = x \ R(T(x,u),y,z). [para(2648(a,1),5714(a,1,2))]. 5716 (x * y) * L(z \ T(z * (y \ (z \ 1)),z),y,x) = (x * K(y \ 1,z)) * (z \ 1). [para(1354(a,2),5053(a,1,2))]. 5717 K((((x \ y) \ 1) * (x \ 1)) \ 1,z) / (x \ T(y,z)) = 1 / (x \ y). [para(5575(a,1),5502(a,1,1))]. 5718 x * (y * (z \ T(z * (y \ (z \ 1)),z))) = (x * K(y \ 1,z)) * (z \ 1). [hyper(207,a,5716,a)]. 5719 (x * K(y \ 1,z)) * (z \ 1) = x * (K(y \ 1,z) * (z \ 1)). [para(4840(a,1),5718(a,1,2)),flip(a)]. 5720 (x * K(y \ 1,z)) * (z \ 1) = x * (T(z,y \ 1) \ 1). [para(4558(a,1),5719(a,2,2))]. 5721 (x * K(y,z)) * (z \ 1) = x * (T(z,(1 / y) \ 1) \ 1). [para(69(a,1),5720(a,1,1,2,1))]. 5722 (x * K(y,z)) * (z \ 1) = x * (T(z,y) \ 1). [para(69(a,1),5721(a,2,2,1,2))]. 5723 x \ T(x * (y \ 1),y) = T(y,y \ x) \ 1. [hyper(75,a,684,a(flip),b,5722,a(flip))]. 5724 (x * (y \ 1)) \ (x * (T(y,z) \ 1)) = K(z,y). [hyper(75,a,5722,a(flip),b,5033,a(flip))]. 5728 x \ T(x * (y \ 1),y) = ((y \ x) \ x) \ 1. [hyper(189,a,523,a(flip),b,5723,a)]. 5730 x * K(y,z) != u * (T(z,y) \ 1) | u * (z \ 1) = x. [para(5724(a,1),87(a,1,2)),flip(b)]. 5731 T((x \ 1) * y,x) = (((x \ y) \ y) \ 1) * y. [para(5728(a,1),4160(a,1,1)),flip(a)]. 5732 (((x \ 1) * y) \ y) \ y = (((x \ y) \ y) \ 1) * y. [hyper(189,a,3759,a(flip),b,5731,a(flip)),flip(a)]. 5733 (((L(x,y,z) \ 1) * x) \ x) \ x = (L(x,y,z) \ 1) * x. [para(5098(a,1),5732(a,2,1,1))]. 5734 (x * (T(y,z) \ 1)) * K(y,z) = x * (y \ 1). [hyper(5730,a,3919,a),flip(a)]. 5735 (x * (y \ 1)) \ (x * (T(y,z) \ 1)) != u | K(z,y) = u. [para(5734(a,1),3922(a,1,1))]. 5736 L(K(x,y),y \ 1,z) != u | K(x,y) = u. [para(4535(a,1),5735(a,1))]. 5737 L((x \ 1) \ 1,y,z) \ x = (L(x,y,z) \ 1) * x. [para(5623(a,1),5733(a,1,1))]. 5738 x / ((L(x,y,z) \ 1) * x) = L((x \ 1) \ 1,y,z). [para(5737(a,1),67(a,1,2))]. 5739 (L((x \ 1) \ 1,y,z) \ ((x \ 1) \ 1)) * (x \ 1) = ((L(x,y,z) \ 1) * x) * (1 / x). [para(5737(a,1),3452(a,2,1))]. 5740 T(x,(K(y \ 1,y) * z) * ((u \ 1) \ w)) = T(x,z * ((K(y,y \ 1) / u) \ w)). [para(4138(a,1),4136(a,2,2))]. 5741 L(L(x,y,T(z,u)),T(z,u) * y,K(u,z)) = (z * y) \ (z * (y * x)). [para(4383(a,1),4563(a,2,2))]. 5742 L(L(x,y,T(z,u)),T(z,u) * y,K(u,z)) != w | L(x,y,z) = w. [para(5741(a,2),355(a,1))]. 5744 R(K(R(x,y,z),u),R(x,y,z),y * z) = ((T(x,u) * y) * z) / ((x * y) * z). [para(110(a,1),4811(a,1,1)),flip(a)]. 5745 ((T(x,y) * z) * u) / ((x * z) * u) = K(R(x,z,u),y). [hyper(3747,a,5744,a),flip(a)]. 5746 R(K(x,y),x * z,u) = K(R(x,z,u),y). [hyper(4572,a,5745,a)]. 5748 K(R(x,y,z),x \ 1) = K(x,x \ 1). [hyper(189,a,3236,a(flip),b,5746,a(flip))]. 5749 K(R(x,x \ y,z),u) = R(K(x,u),y,z). [para(17(a,1),5746(a,1,2)),flip(a)]. 5750 K(R(x,K(x,y) * (x \ z),u),w) = R(K(x,w),K(x,y) * z,u). [para(4552(a,1),5746(a,1,2)),flip(a)]. 5751 R(x,y,z) * (1 / R(x,y,z)) = K(x,x \ 1). [hyper(189,a,3166,a,b,5748,a(flip)),flip(a)]. 5752 K(R(x,x \ 1,y),z) = K(x,z). [hyper(189,a,272,a(flip),b,5749,a)]. 5753 K((x * y) / ((z \ x) * y),u) = R(K(z,u),x,y). [para(108(a,1),5749(a,1,1))]. 5755 (1 / x) * (R(x,y,z) \ x) = 1 / R(x,y,z). [hyper(20,a,3240,a,b,5751,a),flip(a)]. 5756 (1 / x) \ (1 / R(x,y,z)) = R(x,y,z) \ x. [hyper(80,a,5755,a)]. 5757 (x \ R(x,y,z)) \ 1 = R(x,y,z) \ x. [hyper(189,a,4142,a(flip),b,5756,a(flip)),flip(a)]. 5758 R(K(x / y,z),x,u) = K((x * u) / (y * u),z). [para(69(a,1),5753(a,1,1,2,1)),flip(a)]. 5759 R(K(x / y,T(z,x * u)),x,u) = K((y * u) \ (x * u),z). [hyper(189,a,5340,a(flip),b,5758,a)]. 5760 R(K((x / y) / z,u),x / y,y) = K(x / (z * y),u). [para(19(a,1),5758(a,2,1,1))]. 5761 R(K(x / (y / z),u),x,z) = K((x * z) / y,u). [para(19(a,1),5758(a,2,1,2))]. 5762 K((x * y) / (z * y),T(u,x)) = R(K(z \ x,u),x,y). [para(5340(a,1),5758(a,1,1)),flip(a)]. 5763 K((x * y) / z,x) = K(x / (z / y),x). [hyper(189,a,3831,a(flip),b,5761,a(flip))]. 5764 K((x * y) / z,x) != u | K((z / y) \ x,x) = u. [para(5763(a,2),5470(a,1))]. 5765 R(K(x \ (y / z),y / z),y / z,z) = K(y / (x * z),y / z). [para(4764(a,1),5760(a,1,1))]. 5766 R(K(x,y),K(x,z) * u,w) = K(R(x,x \ u,w),y). [hyper(5708,a,5750,a),flip(a)]. 5767 R(K(x,y),K(x,z) * u,w) = R(K(x,y),u,w). [hyper(189,a,5749,a(flip),b,5766,a)]. 5768 (x * y) / L(y,x,y * K(x * y,y)) = (R(y * K(x,y),x,y) * x) / y. [para(4405(a,1),4813(a,1,1))]. 5769 (x / L(y,x,y * K(x * y,y))) * y = (R(y * K(x,y),x,y) * x) / y. [hyper(1265,a,5768,a)]. 5770 (x / L(y,x,y * K(x * y,y))) * y = (x * R(y,x,y)) / y. [para(4426(a,1),5769(a,2,1))]. 5771 (x / L(y,x,y * K(x * y,y))) * y = T(y * x,y) / y. [para(3668(a,1),5770(a,2,1))]. 5772 (x / T(y * K(x,y),y * x)) * y = T(y * x,y) / y. [para(5646(a,1),5771(a,1,1,2))]. 5773 (x / L(y,x,y)) * y = T(y * x,y) / y. [para(4485(a,1),5772(a,1,1,2))]. 5774 (T(x * y,x) / x) \ (y * x) = L(x,y,x). [para(5773(a,1),1249(a,1,1))]. 5775 T((((x / y) \ 1) \ y) * ((x / y) \ 1),z) = (x / y) \ T(x * K(y,z),(x / y) \ 1). [hyper(189,a,4153,a,b,5175,a),flip(a)]. 5776 K(x,y) * ((((z * x) \ z) \ K(x,y)) \ u) = (((z * x) \ z) \ 1) \ u. [para(5224(a,1),5508(a,1,1))]. 5779 L((x \ 1) \ 1,y,z) \ ((x \ 1) \ 1) = L(x,y,z) \ x. [hyper(21,a,4930,a(flip),b,5739,a)]. 5780 (x / y) \ T(x * K(y,z),(x / y) \ 1) = T(x * (y / x),z). [para(3386(a,1),5775(a,1,1)),flip(a)]. 5781 K(x * K(y,z),(x / y) \ 1) = T(x * (y / x),z) / T(y,z). [para(5780(a,1),5191(a,1,1)),flip(a)]. 5782 K((x / y) \ 1,x * K(y,z)) = T(y,z) / T(x * (y / x),z). [para(5780(a,1),5192(a,1,2)),flip(a)]. 5783 L(x,y * K(z \ 1,z),u) = (u * y) \ (u * (y * x)). [para(4109(a,1),4139(a,1,2)),flip(a)]. 5784 L(x,y * K(z \ 1,z),u) = L(x,y,u). [hyper(189,a,31,a,b,5783,a)]. 5786 L(x,(y \ 1) \ 1,z) = L(x,y,z). [para(1142(a,1),5784(a,1,2)),flip(a)]. 5787 L(x,T(y,y \ 1),z) = L(x,y,z). [para(1143(a,1),5784(a,1,2)),flip(a)]. 5788 L(x,1 / y,z) = L(x,y \ 1,z). [para(1198(a,1),5784(a,1,2)),flip(a)]. 5789 L(K(x,y \ 1),y,z) = K(x,y \ 1). [hyper(5736,a,5786,a),flip(a)]. 5792 (x * T(y,y \ 1)) * L(z,y,x) = x * (T(y,y \ 1) * z). [para(5787(a,1),102(a,1,2))]. 5793 (x * y) * K(z,y \ 1) = x * (y * K(z,y \ 1)). [para(5789(a,1),102(a,1,2))]. 5794 R(x,y,K(z,y \ 1)) = x. [hyper(376,a,5793,a)]. 5795 R(x,y \ z,K(u,z \ y)) = x. [para(5258(a,1),5794(a,1,3))]. 5796 x \ (y * K(z,y \ x)) = (x \ y) * K(z,y \ x). [para(5795(a,1),370(a,1,1))]. 5797 T(x \ y,z) * ((y \ x) * K(z,x \ y)) = T((x \ y) * (y \ x),z). [para(5796(a,1),5108(a,1,2))]. 5798 (x * T(y,y \ 1)) * z != x * (T(y,y \ 1) * u) | L(u,y,x) = z. [para(5792(a,1),22(a,1)),flip(a)]. 5799 T((x \ y) * (y \ x),z) = (x \ y) * (y \ x). [hyper(189,a,5510,a(flip),b,5797,a(flip))]. 5801 T(x,(y \ z) * (z \ y)) = x. [hyper(38,a,5799,a)]. 5804 T(x,y * ((z * y) \ z)) = x. [para(16(a,1),5801(a,1,2,1))]. 5806 x / (y * ((z * y) \ z)) = (y * ((z * y) \ z)) \ x. [hyper(307,a,5804,a),flip(a)]. 5808 T(x * ((y * x) \ y),z) = x * ((y * x) \ y). [hyper(38,a,5804,a)]. 5810 T(x * L(x \ 1,x,y),z) = x * ((y * x) \ y). [para(140(a,2),5808(a,1,1,2))]. 5811 T(x,y) * K(R(x,z,u) * y,T(x,y)) = R(x,y,R(T(x,y),z,u)). [hyper(650,a,4494,a),flip(a)]. 5812 K((((x * y) * z) \ (x * z)) \ 1,x) = ((x * y) * z) \ ((y * x) * z). [para(505(a,1),4751(a,1,2)),flip(a)]. 5813 ((x \ y) \ y) \ R((x \ y) \ y,z,u) = x \ (y \ ((R(x,z,u) * (x \ y)) * x)). [hyper(4892,a,5105,a)]. 5814 ((x * y) * z) / ((x * T(x \ (x * y),u)) * z) = K(u,R(y * K(x,y),x,z)). [para(1117(a,1),4919(a,1,2))]. 5815 ((x * y) * z) / ((x * T(y,u)) * z) = K(u,R(y * K(x,y),x,z)). [para(16(a,1),5814(a,1,2,1,2,1))]. 5816 K(x,y / (z * (x / ((z \ 1) \ 1)))) = K(x,x \ y). [hyper(189,a,5123,a(flip),b,5111,a(flip))]. 5818 (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(927(a,1),3728(a,1,1))]. 5819 (R(x,y,z) * (u * x)) \ ((R(x,y,z) * u) * x) = a(x,T(u,x),R(T(x,u),y,z)). [para(935(a,1),5818(a,1,2))]. 5820 a(x,T(y,x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(553,a,5819,a),flip(a)]. 5821 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(189,a,4009,a,b,5820,a(flip)),flip(a)]. 5822 a(T(x,y),T(T(y,x),x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [para(3521(a,1),5821(a,1,1))]. 5823 T(x * (y * K(z,u)),L(K(u,z),y * K(z,u),x)) = L(K(u,z),y / K(u,z),x) \ (x * y). [para(3890(a,1),3925(a,1,2,2))]. 5824 (K(x,y) * (K(x,z) * u)) / (K(x,y) * u) = K((1 / x) \ 1,z). [para(4839(a,1),5021(a,1,1,2))]. 5825 (K(x,y) * (K(x,z) * u)) / (K(x,y) * u) = K(x,z). [hyper(189,a,1216,a(flip),b,5824,a)]. 5827 K(x,y) * (K(x,z) * u) = K(x,z) * (K(x,y) * u). [para(5825(a,1),19(a,1,1))]. 5828 K(x,y) * (K(y,z) * (K(y,x) * u)) = K(y,z) * u. [hyper(3907,a,5827,a)]. 5829 K(x,y) * (K(x,z) * T(u,K(x,y))) = K(x,z) * (u * K(x,y)). [para(113(a,1),5827(a,1,2)),flip(a)]. 5830 K(x,y) * (K(z,x) * u) = K(z,x) * (K(x,y) * u). [para(3887(a,1),5828(a,1,2,2)),flip(a)]. 5831 (T(T(x,y),y) * T(y,T(x,z))) / K(x,y * K(x,y)) = T(x,y) * T(y,T(x,z)). [para(5341(a,1),5712(a,1,2))]. 5832 (T(T(x,y),y) * T(y,T(x,z))) / K(x,y) = T(x,y) * T(y,T(x,z)). [para(4429(a,1),5831(a,1,2))]. 5834 L((x \ 1) \ y,x \ 1,x * ((1 / x) * (x * z))) = ((x * z) / x) \ (T(T(x,z) * z,x) * y). [para(4206(a,1),4699(a,1,3))]. 5835 R(x,K(y,z),L(L(z,u,w),K(y,z),x)) = x. [hyper(189,a,18,a(flip),b,5300,a)]. 5837 R(x,K(y,z),L(z,u,w)) = x. [para(5295(a,1),5835(a,1,3))]. 5839 R(x,K(y,z),L(T(z,u),w,v5)) = x. [para(5396(a,1),5837(a,1,2))]. 5840 x / (K(y,z) * L(T(z,u),w,v5)) = (x / L(T(z,u),w,v5)) * K(z,y). [hyper(189,a,3924,a(flip),b,5839,a(flip)),flip(a)]. 5841 (L(x \ 1,y,z) \ (x \ 1)) * T(1 / (1 / x),x \ 1) = L(x \ 1,y,z) \ K(x \ 1,x). [hyper(189,a,4111,a(flip),b,5009,a)]. 5842 (L(x \ 1,y,z) \ (x \ 1)) * T(1 / (1 / x),x \ 1) = (x \ 1) * (L(x \ 1,y,z) \ x). [hyper(189,a,970,a(flip),b,5841,a)]. 5843 (L(x \ 1,y,z) \ (x \ 1)) * x = (x \ 1) * (L(x \ 1,y,z) \ x). [para(952(a,1),5842(a,1,2))]. 5844 (L(x \ 1,y,z) \ (x \ 1)) \ (L(1 / x,y,z) \ 1) = x. [hyper(75,a,5086,a(flip),b,5843,a)]. 5845 T(R(x,y,x),z) * (T(x,y) \ (x * y)) = T(x,y) \ ((T(x,z) * y) * T(x,y)). [para(4475(a,1),5020(a,1,1,1))]. 5846 R(T(x,y),z,x) * (T(x,z) \ (x * z)) = T(x,z) \ ((T(x,y) * z) * T(x,z)). [para(45(a,2),5845(a,1,1))]. 5847 T(x,y) \ ((T(x,z) * y) * T(x,y)) = R(T(x,z),y,x) * T(y,x). [para(3528(a,1),5846(a,1,2)),flip(a)]. 5848 R(T(x,y),z,x) * T(z,x) = T(T(x,y) * z,T(x,z)). [hyper(238,a,5847,a),flip(a)]. 5849 T(x,y) * T(y * K(x,y),T(x,z)) = x * ((T(x,y) * T(y,T(x,z))) / x). [para(4431(a,1),5709(a,1,1,2))]. 5850 T(T(x,y),y) * T(y,T(x,z)) = x * ((T(x,y) * T(y,T(x,z))) / x). [hyper(189,a,5711,a(flip),b,5849,a(flip)),flip(a)]. 5851 (x * ((1 / (y * x)) * y)) \ ((1 / (y * x)) * y) = x \ 1. [hyper(189,a,1857,a(flip),b,4882,a(flip))]. 5853 (L(x,y,z) * ((1 / x) * (L(x,y,z) \ x))) \ ((1 / ((L(x,y,z) \ x) * L(x,y,z))) * (L(x,y,z) \ x)) = L(x,y,z) \ 1. [para(5097(a,1),5851(a,1,1,2,1,2))]. 5854 T(x,y) \ T(T(x,y) * (K(y,x) * K(z,z \ x)),u) = T(z * (x / z),u) / T(T(x,y),z * (x / z)). [para(5590(a,1),4188(a,1,2,1,2))]. 5855 L(K(x * L(y,z,u),x),L(y,z,u),u * z) = (u * (z * y)) \ (u * (z * (y * K(y * x,x)))). [para(102(a,1),5629(a,1,2)),flip(a)]. 5856 L(L(K(x * y,y),x,z),z * x,u) = L(K(y * L(x,z,u),y),L(x,z,u),u * z). [hyper(189,a,348,a(flip),b,5855,a),flip(a)]. 5857 T(x * (y / x),z) / T(T(y,u),x * (y / x)) = T(y,u) \ T(x * (y / x),z). [para(4583(a,1),5854(a,1,2,1)),flip(a)]. 5858 T(x * (y / x),z) / T(y,u) = T(y,u) \ T(x * (y / x),z). [para(3781(a,1),5857(a,1,2))]. 5860 K(x * K(y,z),(x / y) \ 1) = T(y,z) \ T(x * (y / x),z). [hyper(189,a,5781,a,b,5858,a(flip)),flip(a)]. 5862 K(x * K(y,z),(x / y) \ 1) = K(x,x \ T(y,z)). [hyper(189,a,4178,a(flip),b,5860,a)]. 5863 T(R(x,y,z) * K(u * R((1 / x) \ 1,y,z),R(x,y,z)),u) = R(R(x,y,z),u,L(R(x,y,z),x \ 1,x)). [para(5568(a,1),5049(a,1,1,2))]. 5864 (x / (y * K(z,y))) * R(y * K(z,y),z,L(y,u,w)) = (x * K(z * L(y,u,w),y)) * K(y,z). [hyper(189,a,5286,a(flip),b,5051,a)]. 5865 T(R(x,y,z) * K(u * R(x,y,z),R(x,y,z)),u) = R(R(x,y,z),u,L(R(x,y,z),x \ 1,x)). [para(69(a,1),5863(a,1,1,2,1,2,1))]. 5866 L(x,((y \ 1) \ y) \ y,z / T(y \ 1,(y \ 1) \ y)) = z \ ((z / (1 / y)) * ((((y \ 1) \ y) \ y) * x)). [para(123(a,1),4623(a,2,2,1,2,1))]. 5868 L(x,((y \ 1) \ y) \ y,z / T(y \ 1,(y \ 1) \ y)) = z \ ((z / (1 / y)) * (((y * y) \ y) * x)). [para(489(a,1),5866(a,2,2,2,1,1))]. 5869 L(x,((y \ 1) \ y) \ y,z / T(y \ 1,(y \ 1) \ y)) = z \ ((z / (1 / y)) * ((1 / y) * x)). [para(1888(a,1),5868(a,2,2,2,1))]. 5870 L(x,((y \ 1) \ y) \ y,z / T(y \ 1,(y \ 1) \ y)) = z \ (y * ((y \ z) * x)). [para(473(a,1),5869(a,2,2))]. 5871 L(x,((y \ 1) \ y) \ y,z / T(y \ 1,(y \ 1) \ y)) = L(x,y \ z,y). [hyper(189,a,103,a(flip),b,5870,a)]. 5872 L(x,(y * y) \ y,z / T(y \ 1,(y \ 1) \ y)) = L(x,y \ z,y). [para(489(a,1),5871(a,1,2,1))]. 5873 L(x,1 / y,z / T(y \ 1,(y \ 1) \ y)) = L(x,y \ z,y). [para(1888(a,1),5872(a,1,2))]. 5874 L(x,1 / y,z / T(y \ 1,y * y)) = L(x,y \ z,y). [para(489(a,1),5873(a,1,3,2,2))]. 5875 L(x,1 / y,z / (K(y,y) / y)) = L(x,y \ z,y). [para(4602(a,1),5874(a,1,3,2))]. 5876 L(x,1 / y,z / (1 / y)) = L(x,y \ z,y). [para(123(a,1),5875(a,1,3,2,1))]. 5878 x * ((T(y,(z \ x) \ u) * (x \ (z * u))) / T(y,(z \ x) \ u)) = z * (u * K(y,(u \ (z \ x)) \ 1)). [para(4858(a,1),4663(a,2,2))]. 5879 x * ((x \ (y * z)) * K(T(u,(y \ x) \ z),x \ (y * z))) = y * (z * K(u,(z \ (y \ x)) \ 1)). [hyper(189,a,4479,a(flip),b,5878,a(flip)),flip(a)]. 5880 x * ((x \ (y * z)) * K(u,x \ (y * z))) = y * (z * K(u,(z \ (y \ x)) \ 1)). [para(5618(a,1),5879(a,1,2,2))]. 5881 (x * y) * K(z,((x * y) \ u) \ 1) = x * (y * K(z,(y \ (x \ u)) \ 1)). [hyper(189,a,4858,a(flip),b,5880,a(flip)),flip(a)]. 5882 L(K(x,(y \ (z \ u)) \ 1),y,z) = K(x,((z * y) \ u) \ 1). [hyper(346,a,5881,a)]. 5883 L(K(x,(y \ z) \ 1),y,u) = K(x,((u * y) \ (u * z)) \ 1). [para(16(a,1),5882(a,1,1,2,1,2))]. 5884 K(x,((y * z) \ (y * (z * u))) \ 1) = L(K(x,u \ 1),z,y). [para(16(a,1),5883(a,1,1,2,1)),flip(a)]. 5885 L(K(x,y \ 1),z,u) = K(x,L(y,z,u) \ 1). [para(31(a,2),5884(a,1,2,1)),flip(a)]. 5886 K(x,L(1 / y,z,u) \ 1) = L(K(x,y),z,u). [para(69(a,1),5885(a,1,1,2)),flip(a)]. 5887 (x * y) * K(z,L(u,y,x) \ 1) = x * (y * K(z,u \ 1)). [para(5885(a,1),102(a,1,2))]. 5888 K(x,L(y \ 1,z,u) \ 1) = L(K(x,y),z,u). [para(3081(a,1),5885(a,1,1)),flip(a)]. 5890 L(K(x,y),z,u) \ 1 = L(K(y,x),z,u). [hyper(189,a,4833,a(flip),b,5888,a(flip)),flip(a)]. 5891 K(x,L(y,z / y,u)) = L(K(x,y),z,u). [hyper(5543,a,5890,a)]. 5892 1 / L(K(x,y),z,u) = L(K(y,x),z,u). [hyper(4284,a,5890,a)]. 5893 (x * L(K(y,z),u,w)) \ x = L(K(z,y),u,w). [hyper(189,a,4960,a,b,5890,a(flip)),flip(a)]. 5894 1 / L(K(x,y),z,u) != w | L(K(y,x),z,u) = w. [para(5890(a,1),246(a,1,2)),flip(b)]. 5895 L(K(x,y),z,u) \ w = L(K(y,x),z,u) * w. [para(5890(a,1),4946(a,1,1))]. 5896 L(K(x,y),x,z) = K(y,x) \ 1. [para(5302(a,1),5890(a,1,1)),flip(a)]. 5897 L(K(x,y),x,z) = K(x,y). [hyper(189,a,3871,a(flip),b,5896,a)]. 5898 L(K(x,y),x,z) != u | K(x,y) = u. [para(5896(a,2),3872(a,1))]. 5899 (x * y) * T(K(y,z),u) = x * (y * T(K(y,z),u)). [para(5897(a,1),350(a,1,2,1))]. 5900 (1 / x) \ L(K(x,y),z,u) = x * L(K(x,y),z,u). [para(5897(a,1),403(a,1,2,1))]. 5901 R(R(x,y,z),y * z,L(K(z,u),z,x * y)) = ((x * y) * (z * K(z,u))) / ((y * z) * K(z,u)). [para(5897(a,1),943(a,1,2,2)),flip(a)]. 5904 L(K(x,y),z * y,u) = K(x,L(y,z,u)). [para(18(a,1),5891(a,1,2,2)),flip(a)]. 5905 L(K(x,y \ z),z,u) = K(x,L(y \ z,y,u)). [para(67(a,1),5891(a,1,2,2)),flip(a)]. 5906 L(K(x,y),z,u) \ 1 != w | L(K(y,x),z,u) = w. [para(5892(a,1),236(a,1,1)),flip(b)]. 5907 L(L(K(x,y),z * y,u),y,w) = K(x,L(y,z,u)). [hyper(189,a,5309,a,b,5904,a(flip)),flip(a)]. 5908 x / L(K(y,z),u,w) != v5 | x * L(K(z,y),u,w) = v5. [para(5893(a,1),246(a,1,2)),flip(b)]. 5909 (x * (y * K(z,u))) \ (x * y) = L(K(u,z),y,x). [para(102(a,1),5893(a,1,1))]. 5910 L(K(x,y),z,u) * (L(K(y,x),z,u) * w) = w. [hyper(237,a,5895,a)]. 5911 L(K(x,y),z,u) \ K(x,w) = K(x,w) * L(K(y,x),z,u). [hyper(189,a,1963,a(flip),b,5895,a)]. 5912 K(x,L(y \ x,y,z)) = K(x,y \ x). [hyper(5898,a,5905,a),flip(a)]. 5913 L(K(x,y \ z),z,u) = K(x,(u * y) \ (u * z)). [para(104(a,1),5905(a,2,2))]. 5914 L(K(x,y \ (z \ u)),z \ u,z) = K(x,(z * y) \ u). [para(183(a,1),5905(a,2,2))]. 5915 L(K(x,(y \ z) \ u),u,y) = K(x,z \ (y * u)). [para(359(a,1),5905(a,2,2))]. 5916 K(x,(y \ z) \ x) = K(x,z \ (y * x)). [para(359(a,1),5912(a,1,2)),flip(a)]. 5917 K(x,L((y \ z) \ x,z / y,y)) = K(x,(y \ z) \ x). [para(4005(a,1),5912(a,1,2))]. 5918 L(K(x,y),z,u) \ w != v5 | L(K(y,x),z,u) * w = v5. [para(5910(a,1),237(a,1,2)),flip(b)]. 5919 L(K(x,L(y,z,u)),y,w) = K(x,L(y,z,u)). [para(5904(a,1),5907(a,1,1))]. 5920 K((x \ y) \ z,L(z,u,w)) = K(y \ (x * z),L(z,u,w)). [hyper(189,a,5527,a(flip),b,5919,a(flip))]. 5921 (x * (y * K(z,u))) * L(K(u,z),y,x) = x * y. [para(5909(a,1),17(a,1,2))]. 5923 (x * (y \ T(y * z,y))) \ (x * z) = L(K(y,y * z),z,x). [para(5198(a,2),5909(a,1,1,2))]. 5924 (x * (K(y,z) * u)) \ (x * u) = L(K(z,T(y,u)),u,x). [para(5370(a,1),5909(a,1,1,2))]. 5925 K(x,(y * (z \ u)) \ (y * u)) = L(K(x,T(z,u)),u,y). [para(5333(a,1),5913(a,1,1)),flip(a)]. 5926 (x * y) * K(z,u \ (x * y)) = x * (y * K(z,(x \ u) \ y)). [para(5915(a,1),102(a,1,2))]. 5927 K(x,y \ (z * x)) != u | K(x,(z \ y) \ x) = u. [para(5915(a,1),5898(a,1))]. 5928 (x * (y * K(z,u))) * w != x * y | L(K(u,z),y,x) = w. [para(5921(a,1),22(a,1)),flip(a)]. 5929 (x * (y * K(z,u))) \ (x * y) != w | L(K(u,z),y,x) = w. [para(5921(a,1),237(a,1,2)),flip(b)]. 5930 (x * (y * T(z,u))) * L(K(u,z),y * z,x) = x * (y * z). [para(5139(a,1),5921(a,1,1,2))]. 5931 (x * (K(y,z) * u)) * L(K(z,T(y,u)),u,x) = x * u. [para(5370(a,1),5921(a,1,1,2))]. 5932 (x * y) \ (y * (x * T(K(x,y),z))) = K(y,x) * T(K(x,y),z). [para(5899(a,1),3882(a,1,2))]. 5933 K(x,L((y \ z) \ x,z / y,y)) = K(x,z \ (y * x)). [hyper(189,a,5916,a(flip),b,5917,a)]. 5936 ((((x * (K(y,z) * u)) / (x * u)) \ 1) \ 1) \ (x * (K(y,z) * u)) = (x * (K(y,z) * u)) * ((L(K(z,T(y,u)),u,x) \ 1) \ 1). [para(5924(a,1),2577(a,2,2,1,1))]. 5937 L(K(x,T(y,z)),z,L(y,u,w)) != v5 | K(x,T(y,L(y,u,w) * z)) = v5. [para(5925(a,1),5496(a,1))]. 5938 K(x,y) * (L(K(x,z),u,w) \ 1) = L(K(x,z),u,w) \ K(x,y). [para(5890(a,2),5911(a,2,2)),flip(a)]. 5939 T(x,L(y,x,z) \ 1) = x * K(x,y \ 1). [hyper(5167,a,5887,a)]. 5940 T(x,L(y,x,z) \ 1) != u | T(x,y \ 1) = u. [para(5939(a,2),4399(a,1))]. 5941 K(x * (y \ T(y * z,y)),L(K(y,y * z),z,x)) / ((x * z) / (x * (y \ T(y * z,y)))) = 1 / ((x * (y \ T(y * z,y))) \ (x * z)). [para(5923(a,1),4301(a,1,1,2))]. 5942 (x * (y * T(z,u))) * K(u,L(z,y,x)) = x * (y * z). [para(5904(a,1),5930(a,1,2))]. 5943 (x * (y * z)) * K(z,L(y,z,x)) = x * (z * y). [para(113(a,1),5942(a,1,1,2))]. 5945 x * (y * K(z,(x \ 1) \ y)) = (x * y) * K(z,x * y). [para(58(a,1),5926(a,1,2,2)),flip(a)]. 5946 K(x \ (y * z),(y \ 1) \ z) = K((y \ x) \ z,y * z). [hyper(5598,a,5945,a(flip))]. 5948 K((x \ y) \ (x \ z),x * (x \ z)) = K(y \ z,(x \ 1) \ (x \ z)). [para(17(a,1),5946(a,1,1,2)),flip(a)]. 5949 (x * y) \ (y * (x * T(K(x,y),z))) = K(z,K(y,x)). [hyper(189,a,4463,a(flip),b,5932,a)]. 5950 (x * y) \ (y * T(x,T(y,z))) = K(z,K(y,x)). [para(5349(a,1),5949(a,1,2,2))]. 5951 (x * y) \ T(x * y,K(y,z)) = K(z,K(y,x)). [para(5523(a,2),5950(a,1,2))]. 5952 K(x * y,K(y,z)) = K(z,K(y,x)). [hyper(4413,a,5951,a)]. 5953 K(x,K(y,z)) = K(z,K(y,x)). [hyper(189,a,5487,a(flip),b,5952,a(flip))]. 5954 K(K(x,y),z) = K(x,K(y,z)). [hyper(4616,a,5953,a)]. 5955 K(x,K(y,z * y)) = K(x,K(y,z)). [hyper(189,a,5952,a(flip),b,5953,a)]. 5956 K(x,K(y,z)) \ 1 = K(z,K(x,y)). [para(5953(a,1),4593(a,1,1))]. 5958 K(x,y) * K(x,K(y,z)) = T(K(x,y),z). [para(5953(a,1),4595(a,1,2))]. 5959 K(K(L(x \ 1,y,z) \ 1,u),w) = L(K(x,K(u,w)),y,z). [hyper(189,a,4829,a(flip),b,5954,a)]. 5960 K(K(R(x \ 1,y,z) \ 1,u),w) = R(K(x,K(u,w)),y,z). [hyper(189,a,4820,a(flip),b,5954,a)]. 5961 T(x,K(y,z)) * K(y,K(z,x)) = x. [para(5954(a,1),4365(a,1,2))]. 5962 (K(x,K(y,z)) * u) / (K(x,y) \ u) = T(K(x,y),z). [para(5954(a,1),4550(a,1,1,1))]. 5963 K(x,K(y,z)) != u | K(z,K(y,x)) = u. [para(5954(a,1),4693(a,1))]. 5964 (x * K(y,z)) * K(y,K(z,u)) = x * T(K(y,z),u). [para(5954(a,1),5139(a,1,2))]. 5965 K(x,K(y,y * z)) = K(x,K(y,z)). [para(4576(a,1),5955(a,1,2))]. 5966 K(x,K(y,z)) = K(y,K(x,z)). [hyper(4594,a,5956,a)]. 5967 K(x,K(y,z)) != u | K(y,K(x,z)) = u. [para(5956(a,1),4594(a,1))]. 5968 K(K(x,y),z) = K(y,K(x,z)). [hyper(189,a,5954,a,b,5966,a),flip(a)]. 5969 K(x,K(y,z)) = K(z,K(x,y)). [hyper(189,a,5953,a,b,5966,a)]. 5970 x * K(y,K(x,z)) = T(x,K(y,z)). [para(5966(a,1),4396(a,2,2)),flip(a)]. 5971 K(x,K(y,z)) * y = T(y,K(x,z)). [para(5966(a,1),4403(a,2,1)),flip(a)]. 5972 x * K(y,K(x,z)) != u | T(x,K(y,z)) = u. [para(5966(a,1),4399(a,1,2))]. 5973 K(x,K(y,z)) * y != u | T(y,K(x,z)) = u. [para(5966(a,1),4404(a,1,1))]. 5974 (K(x,K(y,z)) * u) / (y \ u) = T(y,K(x,z)). [para(5966(a,1),4550(a,1,1,1))]. 5975 K(x,y) * T(x,K(z,u)) = T(x,y) * K(z,K(x,u)). [para(5966(a,1),4557(a,2,2))]. 5976 K(x,y) * K(y,K(z,x)) = T(K(x,y),z). [para(5966(a,1),4595(a,1,2))]. 5977 (K(x,K(y,z)) * u) / (y \ u) != w | T(y,K(x,z)) = w. [para(5966(a,1),4555(a,1,1,1))]. 5978 K(x,K(y,z)) * K(z,x) = K(z,T(x,y)). [para(5966(a,1),5338(a,1,1))]. 5979 K(K(x,y),z) = K(z,K(x,y)). [hyper(189,a,5953,a,b,5968,a)]. 5980 K(x,K(y,z)) * (z * K(y,x)) = K(y,x) * z. [para(5968(a,1),4373(a,1,1))]. 5981 K(x,K(R(y \ 1,z,u) \ 1,w)) = K(R(K(y,x),z,u),w). [para(4820(a,1),5968(a,1,1)),flip(a)]. 5982 K(x,K(L(y \ 1,z,u) \ 1,w)) = K(L(K(y,x),z,u),w). [para(4829(a,1),5968(a,1,1)),flip(a)]. 5983 K(x,K(y,z)) = K(x,K(z,y)). [hyper(189,a,5966,a,b,5969,a)]. 5984 K(x,K(y,z)) * z = T(z,K(x,y)). [para(5969(a,2),4403(a,2,1)),flip(a)]. 5985 K(x,K(y,z)) * (z * u) = T(z,K(x,y)) * u. [para(5969(a,2),4407(a,1,1))]. 5986 (K(x,K(y,z)) * u) / (y \ u) = T(y,K(z,x)). [para(5969(a,1),4550(a,1,1,1))]. 5987 K(x,K(y,z)) * K(y,x) = K(y,T(x,z)). [para(5969(a,2),5338(a,1,1))]. 5988 K(x,K(y,z)) * (K(z,u) * w) = K(z,u) * (K(z,K(x,y)) * w). [para(5969(a,2),5827(a,1,1))]. 5989 L(K(x * y,x) * K(x,K(z * y,x * y)),y,z) = (z * (T(x * y,x) / T(x,y))) / (z * y). [para(5969(a,1),5446(a,1,1,2))]. 5990 K(x,K(y,z)) * u != w | K(x,K(y,z)) * w = u. [para(5979(a,1),3907(a,1,1))]. 5991 K(x,K(y,z)) != u | K(x,K(z,y)) = u. [para(5979(a,1),4693(a,1))]. 5992 K(x,K(y,z * y)) = K(x,K(z,y)). [hyper(189,a,5955,a,b,5983,a),flip(a)]. 5993 T(x,K(y,z)) * K(z,x) = x * T(K(z,x),y). [para(5961(a,1),5146(a,1,1)),flip(a)]. 5994 K(x,K(y,y * z)) = K(y,K(x,z)). [hyper(189,a,5966,a,b,5965,a)]. 5995 K(x,K(y,y \ z)) = K(x,K(y,z)). [para(17(a,1),5965(a,1,2,2)),flip(a)]. 5996 K(x,K(y,z)) * K(y * z,y) = K(y * z,T(y,x)). [para(5965(a,1),5338(a,1,1))]. 5997 x * K(y,K(x,x * z)) = T(x,K(y,z * x)). [para(4576(a,1),5970(a,1,2,2))]. 5998 K(x,K(y,x * z)) = K(x,K(y,z)). [hyper(189,a,5966,a,b,5994,a(flip)),flip(a)]. 5999 K(x,K(y,y \ z)) = K(y,K(z,x)). [hyper(189,a,5969,a,b,5995,a)]. 6000 T(x,K(y,y \ z)) = x * K(x,K(y,z)). [para(5995(a,1),4396(a,2,2))]. 6001 K(x,K(x \ y,z)) = K(x,K(y,z)). [hyper(189,a,5969,a,b,5999,a(flip)),flip(a)]. 6002 K(x \ y,x) * K(x,K(y,z)) = T(K(x \ y,x),z). [para(5999(a,1),4595(a,1,2))]. 6003 K(x,K(x * y,z)) = K(x,K(y,z)). [para(16(a,1),6001(a,1,2,1)),flip(a)]. 6004 K(x,K(x \ y,T(z,y))) = K(x,K(y,z)). [para(3874(a,1),6001(a,2,2))]. 6009 K(x,K(y,z)) != u | K(y,K(z,x)) = u. [para(5983(a,1),5963(a,1))]. 6011 K(x,K(y,y \ z)) != u | K(y,K(z,x)) = u. [para(5995(a,2),6009(a,1))]. 6012 K(x,y) * K(x,K(y,z)) = K(x,T(y,z)). [hyper(189,a,5334,a,b,5958,a)]. 6014 K(x,K(y,z)) * K(x * y,x) = K(x * y,T(x,z)). [para(6003(a,1),5987(a,1,1))]. 6015 T(x,K(y,y \ z)) = T(x,K(y,z)). [hyper(189,a,4396,a,b,6000,a)]. 6016 T(x,K(y,y \ z)) != u | T(x,K(y,z)) = u. [para(6000(a,2),4399(a,1))]. 6017 K(x \ y,x) * (z / (x \ y)) = T(z / (y / x),K(x,y)). [hyper(5450,a,6015,a)]. 6018 T(x,K(y,y * z)) = T(x,K(y,z)). [para(16(a,1),6015(a,1,2,2)),flip(a)]. 6019 T(x * y,T(z,K(x,y))) = T(x * y,z). [para(6018(a,1),5378(a,1,2))]. 6020 K(x,T(y,z)) != K(x,y) * u | K(x,K(y,z)) = u. [para(6012(a,1),22(a,1))]. 6021 K(x,y) * K(z,K(x,y)) = K(x,T(y,z)). [para(5969(a,1),6012(a,1,2))]. 6022 (x * K(y,z)) / x = K(y,T(z,x)). [hyper(4384,a,6021,a)]. 6023 T(K(x,T(y,z)),z) = K(x,y). [para(6021(a,1),4374(a,1,1))]. 6024 K(x,T(y,z)) * z = z * K(x,y). [para(6021(a,1),4405(a,1,1))]. 6025 (x * (y * K(z,u))) / (x * y) = L(K(z,T(u,x * y)),y,x). [para(6021(a,1),4490(a,1,1)),flip(a)]. 6026 K(x,T(T(y,z),z)) = K(x,y). [hyper(5490,a,6023,a)]. 6027 K(T(x,y),T(z,y)) = K(x,z). [hyper(5431,a,6023,a)]. 6029 K(x \ y,T(z,y)) = K(y / x,z). [hyper(189,a,5210,a(flip),b,6023,a(flip)),flip(a)]. 6030 T(K(x,y \ z),z) = K(x,(y / z) \ 1). [para(4247(a,1),6023(a,1,1,2))]. 6031 T(T(K(x,y),z),z) = K(x,y). [para(5334(a,1),6023(a,1,1))]. 6032 T(T(x,y),T(z,y)) = K(x,z) * T(x,y). [para(6023(a,1),5387(a,1,1)),flip(a)]. 6033 K(x \ y,T(z,x)) = K(y / x,z). [hyper(5429,a,6026,a)]. 6034 K((x * y) / x,z) = K(y,T(z,x)). [hyper(5415,a,6026,a),flip(a)]. 6035 K(x,T(y \ z,y)) = K(x,z / y). [para(115(a,1),6026(a,1,2,1))]. 6036 K(x,(y * z) / y) = K(x,T(z,y)). [para(142(a,1),6026(a,1,2,1)),flip(a)]. 6037 K(x,R(T(T(y,z),z),u,w)) = K(x,R(y,u,w)). [para(635(a,2),6026(a,1,2))]. 6038 K((x * y) / x,z) != u | K(y,T(z,x)) = u. [para(6026(a,1),5415(a,1))]. 6039 K(T(x,y),z \ y) = K(x,y / z). [hyper(5325,a,6027,a)]. 6040 K(L(T(x,y),z,u),T(w,y)) = K(L(x,z,u),w). [para(43(a,2),6027(a,1,1))]. 6041 K(T(x,y),y \ z) = K(x,z / y). [para(115(a,1),6027(a,1,2))]. 6042 K(x,(T(y,z) * z) / T(y,z)) = K(T(x,y),z). [para(3591(a,1),6027(a,1,2)),flip(a)]. 6043 K(T(x / (x / y),z),u) = K(T(y,z),T(u,y \ x)). [para(3586(a,1),6027(a,1,1)),flip(a)]. 6046 K(x * K(y,x),z) = K(x,T(z,y)). [para(4374(a,1),6027(a,1,1)),flip(a)]. 6047 K(x,y * K(z,y)) = K(T(x,z),y). [para(4374(a,1),6027(a,1,2)),flip(a)]. 6048 x * K(T(x,y),T(z,y)) = T(x,z). [para(6027(a,2),4396(a,2,2)),flip(a)]. 6049 T(x * K(T(y,z),x),z) = K(y,x) * T(x,z). [para(6027(a,1),4656(a,1,1)),flip(a)]. 6050 T(x,T(y,z)) * z = (x * z) * K(x,y). [para(6027(a,1),5138(a,1,2)),flip(a)]. 6051 K(T(x,y),z) * y = y * K(x,z). [para(6027(a,1),5345(a,1,2)),flip(a)]. 6052 K(x,T(y,z)) * (z * K(y,x)) = z. [para(6027(a,1),5360(a,1,2,2))]. 6053 (x * K(y,z)) / x = T(K(y,z),x). [para(6031(a,1),143(a,1,1,2))]. 6054 L(T(K(x,y),z),u,w) * z = z * L(K(x,y),u,w). [para(6031(a,1),159(a,1,2,1)),flip(a)]. 6055 L(T(K(x,y),z),u,w) \ (z * L(K(x,y),u,w)) = z. [para(6031(a,1),179(a,1,2,2,1))]. 6056 T(x,K(y,z)) * K(y,z) = K(y,z) * x. [para(6031(a,1),3703(a,1,2))]. 6057 K(x * y,y * K(y \ 1,x)) = K(y \ 1,T(x,y)). [hyper(4871,a,6022,a)]. 6058 R(T(K(x,T(y,z)),z * u),z,u) != w | (z * u) \ ((z * K(x,y)) * u) = w. [para(6022(a,1),721(a,1,1,1))]. 6059 T(x,T(y,z)) * (x \ z) = z * K(x,y). [hyper(4606,a,6024,a)]. 6060 K(x,T(y \ z,z)) = K(x,z / y). [hyper(21,a,5271,a,b,6024,a)]. 6061 T(x,T(y,z)) * z = x * (z * K(x,y)). [para(6024(a,1),4376(a,1,2)),flip(a)]. 6062 (x * K(y,z)) / (y \ x) != u | T(y,T(z,x)) = u. [para(6024(a,1),4555(a,1,1))]. 6063 K(x \ y,z) * y = y * K(y / x,z). [para(5340(a,1),6024(a,1,1))]. 6064 K(x \ (y * z),T(y,z)) = K((y * z) / x,y). [hyper(5499,a,6029,a)]. 6065 K(x / (x / y),z) = K(y,T(z,x)). [hyper(4628,a,6029,a),flip(a)]. 6067 K(x / (x / y),z) != u | K(y,T(z,x)) = u. [para(6029(a,1),4628(a,1))]. 6068 K(x / y,x / z) != u | K(y \ x,z \ x) = u. [para(6029(a,1),5325(a,1))]. 6070 K(x / y,y * K(z,u)) = K(y \ x,K(z,u) * y). [hyper(189,a,5336,a(flip),b,6033,a(flip))]. 6071 K(((x * y) * z) / (x * (y * z)),u) = K(a(x,y,z),T(u,x * (y * z))). [para(27(a,2),6033(a,1,1)),flip(a)]. 6073 R(x,y,z) \ R(x * K((u * w) / u,x),y,z) = K(w,T(R(x,y,z),u)). [hyper(189,a,4741,a,b,6034,a(flip)),flip(a)]. 6074 K(x * T(x \ y,y),z) = K(y,T(z,x \ y)). [para(1464(a,1),6034(a,1,1))]. 6075 K(x \ T(x * y,y),z) = K(y,T(z,x * y)). [para(3338(a,1),6034(a,1,1))]. 6076 ((x * y) / x) * K(y,T(z,x)) = T((x * y) / x,z). [para(6034(a,1),4396(a,2,2)),flip(a)]. 6077 K(R(x * K(y,x),z,u),w) = K(R(x,z,u),T(w,y)). [para(4489(a,2),6034(a,1,1))]. 6078 L(K(x,T(y \ z,u)),y \ z,y) = K((u * x) / u,(z \ y) \ 1). [para(6034(a,1),4928(a,1,1))]. 6079 K(x,T(T(y,z),z)) != u | K(x,y) = u. [para(6034(a,1),5415(a,1))]. 6080 K(R(T(x,y),z,u),y \ w) = K(R(x,z,u),w / y). [hyper(189,a,5393,a,b,6035,a(flip)),flip(a)]. 6081 K(x,(y * z) / y) != u | K(T(x,y),z) = u. [para(6036(a,2),5430(a,1))]. 6082 K(T(x \ 1,y),z \ (x * y)) = K(x \ 1,(x * y) / z). [hyper(5438,a,6039,a)]. 6083 K(T(x,x \ y),z \ (y * (x \ 1))) = K(x,(y * (x \ 1)) / z). [para(3619(a,1),6039(a,1,1))]. 6084 K(x,(x \ y) / z) != u | K(T(x,y),z \ (x \ y)) = u. [para(6039(a,1),5434(a,1))]. 6085 K(T(x,x \ y),((x \ 1) * y) \ z) = K(x,z / ((x \ 1) * y)). [para(3610(a,1),6041(a,1,1))]. 6088 K(T(x,y),T(z,R(x,u,w) * y)) = K(R(x,y,R(T(x,y),u,w)),z). [para(5811(a,1),6046(a,1,1)),flip(a)]. 6089 K(x,y * K(z * y,y)) = K(T(x,y * z),y). [para(4617(a,2),6047(a,1,2,2))]. 6090 T(x,T(y,z * K(u,z))) = T(x,y * K(T(y,u),z)). [para(6047(a,1),4734(a,1,2,2)),flip(a)]. 6091 x / (K(T(y,z),x) * K(x * K(z,x),z)) = T(x * K(z,x),y). [para(6047(a,1),4672(a,1,2,1))]. 6092 T(x,T(T(y,z),z)) = T(x,y). [hyper(5407,a,6048,a)]. 6093 T(x,y * K(z,y)) = T(x,T(y,z)). [para(4374(a,1),6092(a,1,2,1)),flip(a)]. 6094 T(T(x,y),T(z,y)) = K(x,y) * T(x,z). [para(6092(a,1),5425(a,1,2)),flip(a)]. 6095 K(x,T(y,z)) * (z * x) = z * T(x,y). [para(6092(a,1),5460(a,2,2))]. 6097 K(K(x,y) * z,u) * z = z * K(z * K(x,y),u). [para(5410(a,1),6051(a,1,1))]. 6098 T(K(x,y),z) != K(x,y) * u | K(z,K(x,y)) = u. [para(6053(a,1),4481(a,1))]. 6099 K(x / (x / y),T(z,u)) = K(y,T(T(z,x),u)). [para(41(a,1),6065(a,2,2))]. 6100 K(x \ y,T(z,y)) != u | K(y / x,z) = u. [para(5340(a,1),6079(a,1))]. 6101 K(T(x,y),T(z,y)) != u | K(x,z) = u. [para(5380(a,2),6079(a,1))]. 6102 K(x \ y,T(z,x)) != u | K(y / x,z) = u. [para(5394(a,1),6079(a,1))]. 6103 K(x,T(y,R(T(x,z),u,w))) != v5 | K(x,y) = v5. [para(5399(a,1),6079(a,1))]. 6104 K(x * y,T(z,y * x)) != u | K(x * y,z) = u. [para(5419(a,1),6079(a,1))]. 6105 K(R(T(x,y),z,u),T(w,y)) != v5 | K(R(x,z,u),w) = v5. [para(5393(a,2),6079(a,1))]. 6106 K(x / y,T(z,x)) != u | K(y \ x,z) = u. [para(6029(a,1),6079(a,1))]. 6107 K(T(x,y),T(T(z,y),u)) != w | K(x,T(z,u)) = w. [para(41(a,1),6101(a,1,2))]. 6108 K(L(T(x,y),z,u),T(w,y)) != v5 | K(L(x,z,u),w) = v5. [para(43(a,2),6101(a,1,1))]. 6109 K(T(x,y),L(T(z,y),u,w)) != v5 | K(x,L(z,u,w)) = v5. [para(43(a,2),6101(a,1,2))]. 6110 K(T(x,y),R(T(z,y),u,w)) != v5 | K(x,R(z,u,w)) = v5. [para(45(a,2),6101(a,1,2))]. 6111 K(T(x,y),y \ z) != u | K(x,z / y) = u. [para(115(a,1),6101(a,1,2))]. 6112 K(R(x \ y,z,u),T(w,x)) != v5 | K(R(y / x,z,u),w) = v5. [para(163(a,1),6101(a,1,1))]. 6113 K(T(x,y),z \ y) != u | K(x,y / z) = u. [para(5332(a,1),6101(a,1))]. 6114 K(x,((y * z) / y) \ 1) = T(K(x,z \ 1),y). [para(5261(a,1),6030(a,1,1)),flip(a)]. 6115 (K(x,y) * z) * K(y,x) = T(z,K(x,y)). [hyper(3929,a,6056,a)]. 6116 T(K(x,y) * z,K(y,u)) * K(y,u) = K(x,y) * (K(y,u) * z). [hyper(189,a,5830,a(flip),b,6056,a)]. 6117 T(T(x,K(y,z)),K(y,z)) = x. [hyper(147,a,6056,a,b,xx)]. 6118 T(x,K(y,z)) = T(x,K(z,y)). [hyper(21,a,3958,a,b,6056,a)]. 6120 T(x * K(y,z),u) / x = x \ T(K(y,z) * x,u). [para(6056(a,1),4170(a,1,2,1)),flip(a)]. 6121 T(x,K(y,z)) != u | T(x,K(z,y)) = u. [para(6117(a,1),4592(a,1,1)),flip(b)]. 6122 K(x,y) * (z * K(y,x)) = T(z,K(x,y)). [hyper(3951,a,6118,a)]. 6123 T(K(x,y) * z,K(y,x)) != u | z * K(x,y) = u. [para(6118(a,1),4237(a,1))]. 6124 L(T(x,y),z,u) * (L(x,z,u) \ x) = x * K(L(x,z,u),y). [para(3532(a,1),6059(a,1,1))]. 6125 T(x * y,z) * ((x * y) \ K(x,y)) = K(x,y) * K(x * y,z). [para(6019(a,1),6059(a,1,1))]. 6126 (x * y) * K(x,z) = x * (y * K(x,z)). [hyper(189,a,6050,a(flip),b,6061,a(flip)),flip(a)]. 6127 x * (y * K(x,T(y,z))) = T(x,T(y,z)) * y. [para(124(a,1),6061(a,1,1,2)),flip(a)]. 6129 K(x \ y,z) \ (y * K(y / x,z)) != u | u = y. [para(6063(a,1),237(a,1,2))]. 6130 K(x / y,z) * K(K(y \ x,z) * x,x) = x \ T(x * K(x / y,z),x). [para(6063(a,2),5198(a,2,2,1)),flip(a)]. 6131 (T(x * K(y \ x,z),x) / x) \ (x * K(x / y,z)) = L(x,K(y \ x,z),x). [para(6063(a,1),5774(a,1,2))]. 6132 x * (K(y,x) * T(y,z)) = T(y,T(z,x)) * x. [para(6094(a,1),158(a,1,2))]. 6133 (x * T(y,z)) / T(x,y) = T(y,T(z,x)). [hyper(76,a,6095,a(flip),b,4542,a(flip))]. 6134 T(K(x,y),z) * (z * x) = z * T(x,y). [para(5334(a,1),6095(a,1,1))]. 6135 T(x * T(y,z),K(y,z)) = K(y,z) * (x * y). [para(5158(a,1),6122(a,1,2)),flip(a)]. 6136 K(x,y) * (K(z,x) * (u * K(y,x))) = K(z,x) * T(u,K(x,y)). [para(6122(a,1),5830(a,2,2))]. 6140 R(x,y,K(x,z)) = x. [hyper(376,a,6126,a)]. 6141 K(x,(x \ y) \ z) = K(x,y \ (x * z)). [hyper(20,a,5926,a,b,6126,a)]. 6142 K(x,(x \ 1) \ y) = K(x,x * y). [hyper(20,a,5945,a(flip),b,6126,a)]. 6143 (x * y) * z != x * (y * K(x,u)) | K(x,u) = z. [para(6126(a,1),22(a,1)),flip(a)]. 6144 (x * (y * K(x,z))) * x = (x * y) * T(x,z). [para(6126(a,1),5132(a,1,1))]. 6145 R(T(x,y),z,K(x,u)) = T(x,y). [para(6140(a,1),45(a,2,1))]. 6146 R(R(x,y,z),u,K(x,w)) = R(x,y,z). [para(6140(a,1),49(a,1,1)),flip(a)]. 6147 (L(x,y,z) * u) * K(x,w) = L(x,y,z) * (u * K(x,w)). [para(6140(a,1),381(a,1,1,1)),flip(a)]. 6148 (R(x,y,z) * u) * K(x,w) = R(x,y,z) * (u * K(x,w)). [para(6140(a,1),382(a,1,1,1)),flip(a)]. 6149 R(x * y,K(x,z),K(y * K(x,z),x)) \ ((y * K(x,z)) * R(x,y,K(x,z))) = K(x,z) * K(y * K(x,z),R(x,y,K(x,z))). [para(6140(a,1),1782(a,1,1,3,2))]. 6150 R(x,y,K(T(x,z),u)) = x. [para(5380(a,2),6140(a,1,3))]. 6151 (x * y) * K(T(x,z),u) = x * (y * K(T(x,z),u)). [para(6150(a,1),110(a,1,1)),flip(a)]. 6153 T(x,y * K(x,z)) = T(x,y). [hyper(189,a,5239,a(flip),b,6145,a(flip))]. 6156 K(x,y * K(x,z)) = x \ T(x,y). [hyper(75,a,6153,a(flip),b,4396,a(flip)),flip(a)]. 6159 T(x,y * K(z,x)) = T(x,y). [para(3919(a,1),6153(a,1,2)),flip(a)]. 6161 T(x,K(x,y) * z) = T(x,z). [para(5345(a,1),6153(a,1,2))]. 6162 T(x,K(y,x) * z) = T(x,z). [para(5348(a,1),6153(a,1,2)),flip(a)]. 6164 T(x,y * (z * x)) = T(x,y * (x * z)). [para(5943(a,1),6153(a,1,2)),flip(a)]. 6165 K((x * K(y,z)) \ u,T(y,x)) = K(u / (x * K(y,z)),y). [para(6153(a,1),6033(a,1,2))]. 6166 T(x,y \ T(z,x)) = T(x,y \ z). [para(1077(a,1),6159(a,1,2))]. 6167 T((x \ y) * x,z * K(u,y)) = (x \ T(y,z)) * x. [para(6159(a,1),4153(a,2,1,2))]. 6168 T(x,T(y,x) * z) = T(x,y * z). [para(4754(a,1),6159(a,1,2))]. 6169 K(T(x,y),(y * K(z,x)) \ u) = K(x,u / (y * K(z,x))). [para(6159(a,1),6041(a,1,1))]. 6170 T(x,T(x,y) * z) = T(x,x * z). [para(4407(a,1),6161(a,1,2))]. 6172 T(x,y) * K(z,T(x,K(x,u) * y)) = T(x * K(z,x),K(x,u) * y). [para(6161(a,1),4653(a,1,1))]. 6173 L(x,y \ (K(z,y) * u),T(y,u)) = L(x,y \ (K(z,y) * u),y). [para(6162(a,1),4006(a,1,3))]. 6174 K(x,y * K(x,z)) = K(x,y). [hyper(189,a,4360,a,b,6156,a)]. 6175 K(x,y * K(x,z)) != u | K(x,y) = u. [para(6156(a,2),4413(a,1))]. 6176 K(x,y / K(z,x)) = K(x,y). [para(3890(a,2),6174(a,1,2))]. 6177 K(x,y * K(z,x)) = K(x,y). [para(3919(a,1),6174(a,1,2)),flip(a)]. 6178 K(x,y * T(z,x)) = K(x,y * z). [para(5158(a,1),6174(a,1,2)),flip(a)]. 6179 K(x,K(x,y) * z) = K(x,z). [para(5345(a,1),6174(a,1,2))]. 6180 x \ R(x,y * K(x,z),x) = K(x,y) * K(y * T(x,z),x). [para(6174(a,1),5149(a,1,1)),flip(a)]. 6182 K(x,y \ K(z,x)) = K(x,y \ 1). [hyper(189,a,4777,a(flip),b,6176,a(flip))]. 6183 K(x * K(y,z),z) = 1 / K(z,x). [para(6177(a,1),3875(a,1,2)),flip(a)]. 6184 R(K(x,y),(y * K(z,x)) * u,w) = K(x,R(y * K(z,x),u,w)). [para(6177(a,1),5683(a,1,1))]. 6185 T(K(x,y) * z,K(x,z)) = K(x,y) * z. [para(6179(a,1),2753(a,1,2))]. 6186 K(x,T(x,y) \ z) = K(x,x \ z). [para(4541(a,1),6179(a,1,2)),flip(a)]. 6187 K(x,K(K(x,y) * z,u)) = K(K(x,z),u). [para(6179(a,1),5954(a,1,1)),flip(a)]. 6188 T(x,y \ (z / x)) = T(x,y \ (x \ z)). [para(115(a,1),6166(a,1,2,2)),flip(a)]. 6190 (T(x,y) * z) \ ((x * y) * z) = R(T(y,x * z),T(x,y),z). [para(6168(a,1),734(a,1,1)),flip(a)]. 6191 K((T(x,y) * z) \ u,T(x,x * z)) = K(u / (T(x,y) * z),x). [para(6170(a,1),6033(a,1,2))]. 6192 (x * (y \ T(y * T(z,y),y))) \ (x * T(z,y)) = L(K(y,y * z),T(z,y),x). [para(6178(a,1),5923(a,2,1))]. 6193 K(x * K(y,z),z) = K(x,z). [hyper(189,a,3875,a(flip),b,6183,a)]. 6194 K(x * K(y,z),z) != u | K(x,z) = u. [para(6183(a,2),3880(a,1))]. 6195 K(x * T(y,z),z) = K(x * y,z). [para(1078(a,1),6193(a,1,1))]. 6197 K(x * K(y,z),y) = K(x,y). [para(3919(a,1),6193(a,1,1)),flip(a)]. 6199 K(x * T(y,z),y) = K(x * y,y). [para(5158(a,1),6193(a,1,1)),flip(a)]. 6200 K(x * K(y,T(z,u)),z) = K(x,z). [para(5337(a,1),6193(a,1,1,2))]. 6201 K(K(x,y) * z,x) = K(z,x). [para(5365(a,1),6193(a,1,1)),flip(a)]. 6202 K(K(x,y) \ z,x) = K(z,x). [para(5369(a,1),6193(a,1,1))]. 6203 K(K(x,y) * z,y) = K(z,y). [para(5370(a,1),6193(a,1,1))]. 6207 K(x * L(K(y,z),u,w),y) = K(x,y). [para(5886(a,1),6197(a,1,1,2))]. 6209 K(T(x,y) \ z,x) = K(x \ z,x). [para(4541(a,1),6201(a,1,1)),flip(a)]. 6211 K(R(K(x,y),z,u) * w,x) = K(w,x). [para(5668(a,1),6201(a,1,1,1))]. 6212 L(K(x,y),K(y,z) * x,u) = K(K(y,z) * x,y). [para(6201(a,1),5897(a,1,1))]. 6213 K(K(x,y) * z,x) != u | K(z,x) = u. [para(6202(a,1),4566(a,1))]. 6214 K(K(x,y) * z,T(y,u)) = K(z,T(y,u)). [para(5396(a,1),6203(a,1,1,1))]. 6215 K(x / y,(x / y) \ z) = K(x / y,(y \ x) \ z). [para(115(a,1),6186(a,1,2,1)),flip(a)]. 6217 K(x * K(y / z,u),y) = K(x * K(z \ y,u),y). [para(5210(a,1),6195(a,1,1,2)),flip(a)]. 6218 T(T(x * K(y * T(x,z),x),u),y) = R(T(x,u),y,x). [para(6199(a,2),4910(a,1,1,1,2))]. 6219 K(T(x,T(y,z)) * u,y) = K(x * u,y). [para(4754(a,1),6200(a,1,1))]. 6220 x * K(T(y,z) \ x,y) = (y \ x) * y. [para(6209(a,2),213(a,1,2))]. 6221 T(x * K(x \ y,x),z) \ y = y / T(x,z). [para(6209(a,1),4795(a,1,1,1,2))]. 6225 K(x,K(x,y) * z) != u | K(x,z) = u. [para(5345(a,1),6175(a,1,2))]. 6226 K(x,y / (x \ z)) != u | K(x,y / (z / x)) = u. [para(5447(a,1),6175(a,1,2))]. 6227 K(x \ T(y,z),z) != u | K(x \ y,z) = u. [para(1077(a,1),6194(a,1,1))]. 6230 K(x * (y * K(z,u)),z) = K(x * y,z). [para(102(a,1),6207(a,1,1))]. 6231 K(x * (y * K(z,u)),u) = K(x * y,u). [para(5921(a,1),6207(a,1,1)),flip(a)]. 6232 K((K(x,y) * z) * u,x) = K(z * u,x). [para(110(a,1),6211(a,1,1))]. 6233 K(R(K(x,y),z,u) * w,T(x,v5)) = K(w,T(x,v5)). [para(6027(a,1),6211(a,1,1,1,1))]. 6235 K((x \ y) \ z,x) != u | K((y / x) \ z,x) = u. [para(4707(a,1),6213(a,1,1))]. 6236 K(x,(x \ y) \ z) != u | K(x,(y / x) \ z) = u. [para(4707(a,1),6225(a,1,2))]. 6237 ((x / y) * T(y,z)) / (y \ x) = T(y,T(z,x / y)). [para(115(a,1),6133(a,1,2))]. 6238 (x * ((y \ z) \ z)) / T(x,y) = T(y,T(y \ z,x)). [para(114(a,1),6133(a,1,1,2))]. 6239 T(x,K(y,z)) * T(y,z) = K(y,z) * (x * y). [hyper(4008,a,6134,a),flip(a)]. 6240 L(K(x,y \ (x * (z \ u))),z \ u,z) = K(x,(z * (x \ y)) \ u). [para(6141(a,1),5914(a,1,1))]. 6241 K(x,K(K(x,y) * z,u)) = K(x,K(z,u)). [hyper(189,a,5954,a(flip),b,6187,a)]. 6242 K(T(x,y) \ K(z,x),T(x,y)) = K(T(x,y) \ 1,T(x,y)). [hyper(189,a,4257,a(flip),b,6214,a(flip)),flip(a)]. 6243 K(T(x,y) * z,T(x,u)) = K(x * z,T(x,u)). [para(4383(a,1),6214(a,1,1)),flip(a)]. 6244 K(T(x,y) \ z,T(y,u)) = K(x \ z,T(y,u)). [para(4541(a,1),6214(a,1,1)),flip(a)]. 6245 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(6219(a,1),4654(a,1,1,2))]. 6246 T(x,y) * T(T(x,y) \ z,x) = (x \ z) * x. [hyper(5174,a,6220,a)]. 6247 K(x * (K(y,z) * u),y) = K(x * u,y). [para(5345(a,1),6230(a,1,1,2))]. 6248 K(x * (y \ T(z,u)),u) = K(x * (y \ z),u). [para(1077(a,1),6231(a,1,1,2))]. 6250 K((x / (x / y)) * z,y) = K(y * z,y). [para(4345(a,1),6232(a,1,1,1)),flip(a)]. 6251 K(K(x,y) * z,K(x,u)) = K(x,K(z,u)). [hyper(5967,a,6241,a)]. 6252 K(L(x,y,z),u * (K(x,w) * v5)) = L(x,y,z) / L(x * K(u * v5,x),y,z). [para(6247(a,1),4739(a,1,2,1,2)),flip(a)]. 6253 K(x * (K(y,z) * u),R(y,w,v5)) = R(y,w,v5) \ R(y * K(x * u,y),w,v5). [para(6247(a,1),4741(a,1,2,1,2)),flip(a)]. 6255 K(K(x,y) * z,K(x,u)) = K(z,K(x,u)). [hyper(189,a,5966,a,b,6251,a)]. 6256 K(K(x,y) * z,K(y,u)) = K(z,K(y,u)). [para(3887(a,1),6255(a,1,1)),flip(a)]. 6257 R(x,K(y,z) * u,K(u,K(y,w))) = x. [para(6255(a,1),5156(a,1,3))]. 6259 K(x * K(y,z),K(y,u)) = K(x,K(y,u)). [para(6024(a,1),6255(a,1,1))]. 6260 (x * (K(y,z) * u)) * K(u,K(y,z)) = x * (u * K(y,z)). [para(6257(a,1),384(a,1,1)),flip(a)]. 6261 K(x,K(y,K(z,x) * u)) = K(u,K(x,y)). [hyper(6009,a,6256,a)]. 6262 K(K(x,y) * (K(y,z) * u),K(y,w)) = K(y,K(u,w)). [hyper(189,a,6251,a(flip),b,6256,a)]. 6263 K(x,K(y,K(z,x) * u)) = K(x,K(y,u)). [hyper(189,a,5969,a,b,6261,a)]. 6264 K(x,K(y,T(x,z) * u)) = K(x,K(y,x * u)). [para(4383(a,1),6263(a,1,2,2)),flip(a)]. 6266 K(x,K(x \ y,z)) != u | K(x,K(y,z)) = u. [para(5969(a,2),6011(a,1))]. 6267 K(x * K(y,x),z) != u | K(x,T(z,y)) = u. [para(4375(a,1),6038(a,1,1))]. 6268 K(T(x * K(y,x),z),u) != w | K(T(x,z),T(u,y)) = w. [para(4424(a,2),6038(a,1,1))]. 6270 ((x * ((y * z) / y)) / x) / ((x * z) / x) = K(T(y,x),z). [hyper(6081,a,4510,a(flip)),flip(a)]. 6271 K(x,y * K(z,y)) != u | K(T(x,z),y) = u. [para(4375(a,1),6081(a,1,2))]. 6272 K(x,T(y,z)) != u | K(z / (z / x),y) = u. [para(69(a,1),6100(a,1,1))]. 6273 K(x \ (K(y,z) * u),T(y,u)) != w | K((K(y,z) * u) / x,y) = w. [para(6161(a,1),6100(a,1,2))]. 6275 K(T(x,y \ 1),(1 / y) \ z) != u | K(x,z / (1 / y)) = u. [para(2672(a,1),6111(a,1,1))]. 6276 K(T(x,y),(x \ y) \ z) != u | K(x,z / (x \ y)) = u. [para(5381(a,1),6111(a,1))]. 6277 K(x,T(y \ z,z)) != u | K(x,z / y) = u. [para(5380(a,1),6113(a,1))]. 6278 K(x \ (y \ (z * y)),y) != u | K(x \ z,y) = u. [para(35(a,1),6227(a,1,1,2))]. 6280 K(x,K(y,z)) * (z / K(x,y)) = K(y,x) * z. [para(3890(a,2),5980(a,1,2))]. 6281 K(x,K(y,z)) * (T(z,y) * K(x \ y,x)) = K(x \ y,x) * T(z,y). [para(6004(a,1),5980(a,1,1))]. 6282 K(x,K(y,z)) * (T(z,y) * u) = T(T(z,y),K(x,y)) * u. [para(3874(a,1),5985(a,1,1,2))]. 6284 T(x,K(y,z * x)) = T(x,K(y,x * z)). [hyper(5972,a,5997,a),flip(a)]. 6285 T(x,K(y,x * z)) * K(y,z * x) = K(y,z * x) * x. [para(6284(a,1),6056(a,1,1))]. 6286 K(x,R(y * K(z,y),u,w)) = K(x,R(T(y,z),u,w)). [para(4374(a,1),6037(a,1,2,1,1)),flip(a)]. 6287 L(K(T(x,y),T(z,y)),u,w) = K(L(x,u / T(x,y),w),z). [hyper(189,a,5540,a(flip),b,6040,a(flip)),flip(a)]. 6288 K(T(x,L(x,y,z) * u),T(w,u)) = K(L(x,u,L(x,y,z)),w). [para(1293(a,1),6040(a,1,1))]. 6289 K(T(x,T(y,z)),z) = K(T(x,y),z). [hyper(6081,a,6042,a)]. 6290 K(R(T(x,T(y,z)),u,w),z) = K(T(R(x,u,w),y),z). [para(45(a,2),6289(a,1,1))]. 6291 T((x * (y * K(T(z,u),y))) / x,u) = (x * (K(z,y) * T(y,u))) / x. [para(6049(a,1),330(a,1,1,2)),flip(a)]. 6292 K(K(x,y) * T(y,z),T(u,z)) = K(y * K(T(x,z),y),u). [para(6049(a,1),6027(a,1,1))]. 6293 T((x * K(y,x)) * K(T(T(z,u),y),x),u) = K(z,x * K(y,x)) * T(x * K(y,x),u). [para(6047(a,1),6049(a,1,1,2))]. 6294 K(x \ (y * z),T(y,z)) != u | K((x / z) \ y,y) = u. [para(6064(a,2),5764(a,1))]. 6295 K(T(x * K(y \ x,x),x),z) = K(x,T(z,T(y,x) \ x)). [para(5635(a,1),6074(a,1,1))]. 6296 T(x * y,y) / (T(x * y,y) / x) = x * K(y,T(x,x * y)). [para(6075(a,1),4318(a,2,2))]. 6297 K(T(x,y * z),z) = K(T(x,z * y),z). [hyper(6271,a,6089,a)]. 6298 K(R(T(x,y * z),u,w),z) = K(T(R(x,u,w),z * y),z). [para(45(a,2),6297(a,1,1))]. 6299 R(K(x,T(T(y,z),z * u)),z,u) = K(((z / x) * u) \ (z * u),y). [para(6099(a,1),5759(a,1,1))]. 6300 T(K(x,y \ 1),z) = K(x,y \ K(y,z)). [para(4497(a,1),6114(a,1,2)),flip(a)]. 6301 x * T(T(y,z),T(x,z)) = T(y,T(z,x)) * x. [para(6032(a,2),6132(a,1,2))]. 6302 K(K(x,y) * (z * x),u) != w | K(z * T(x,y),T(u,K(x,y))) = w. [para(6135(a,1),5488(a,1,1))]. 6303 (x * (y * T(x,z))) \ ((x * y) * T(x,z)) = a(x,y * K(x,z),x). [para(6144(a,1),5142(a,1,2))]. 6304 T(x / (x / y),z) \ x = x / T(y,z). [para(4318(a,2),6221(a,1,1,1))]. 6305 x / T(y \ x,z) = T(x / y,z) \ x. [para(4331(a,1),6221(a,1,1,1)),flip(a)]. 6307 x / (x / T(y,z)) = T(x / (x / y),z). [para(6304(a,1),67(a,1,2))]. 6308 T(x,y) / T(z * (x / z),u) = T(z * (x / z),u) \ T(x,y). [para(5665(a,1),6304(a,1,1,1)),flip(a)]. 6309 (T(x / y,z) \ x) \ x = T(y \ x,z). [para(6305(a,1),69(a,1,1))]. 6313 K(T(x / (x / y),z),u) != w | K(T(y,z),T(u,x)) = w. [para(6307(a,1),6067(a,1,1))]. 6314 (T(x,y) \ z) \ z = T((x \ z) \ z,y). [para(67(a,1),6309(a,1,1,1,1))]. 6316 T(T(x,y),x \ z) = (T(x,y) \ z) \ z. [hyper(189,a,221,a,b,6314,a),flip(a)]. 6318 K(T(T(x,y),x \ 1),z) != u | K(T(x,y),z) = u. [para(6316(a,2),2659(a,1,1))]. 6319 T(T(x,K(y,z)),T(y,z)) = T(x,y). [hyper(147,a,6239,a,b,4542,a(flip))]. 6321 T(T(x,K(y,z)),y) = T(x,T(y,z)). [para(6117(a,1),6319(a,1,1)),flip(a)]. 6322 T(x * K(y,x),T(y,z)) = T(x,K(y,z)). [hyper(4486,a,6321,a),flip(a)]. 6323 T(T(x,y),K(y,z)) = T(x,T(y,z)). [hyper(333,a,6321,a)]. 6325 T(x * K(y,x),T(y,z)) != u | T(x,K(y,z)) = u. [para(6321(a,1),4486(a,1))]. 6326 T(T(x,y),K(z,y)) = T(x,T(y,z)). [hyper(6121,a,6323,a)]. 6327 K(x,T(y,T(z,x))) = K(x,T(y,z)). [para(6323(a,1),5342(a,1,2))]. 6328 T(x,T(y,T(z,x))) = T(x,T(y,z)). [para(6323(a,1),5378(a,1,2))]. 6329 T(x,T(y,z / x)) = T(x,T(y,x \ z)). [para(115(a,1),6328(a,1,2,2)),flip(a)]. 6330 T(T(x,K(y,z)),y) != u | T(x,T(y,z)) = u. [para(6322(a,1),4486(a,1,1))]. 6331 T(T(x,y),K(y,z)) != u | T(x,T(y,z)) = u. [para(41(a,1),6330(a,1))]. 6332 K(T(x,y) \ z,T(y,x)) != u | K(z / x,y) = u. [para(6244(a,2),6102(a,1))]. 6333 (x \ (y * T(x,z))) * x = T(y,x) * T(x,z). [hyper(571,a,6246,a),flip(a)]. 6334 K(x,K(y,T(x,z) * u)) = K(x,K(y,u)). [hyper(189,a,5998,a(flip),b,6264,a)]. 6335 K(x,K(y,z)) * (T(x,u) * z) = T(T(x,u) * z,K(x,y)). [para(6334(a,1),5984(a,1,1))]. 6336 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(4923(a,1),6280(a,1,1,2))]. 6337 T(x * K(y,x),T(y,z)) * z = z * T(x,T(z,y)). [para(4374(a,1),6301(a,1,2,1)),flip(a)]. 6338 K(x,y) * T(K(x,y) \ z,y) = T(z,y). [hyper(5104,a,6333,a)]. 6339 x \ (y * T(x,z)) = T(y,x) * K(x,z). [hyper(21,a,5132,a,b,6333,a)]. 6341 K(x,y) * (z * T(z \ (K(x,y) \ u),y)) = T(u / z,y) * z. [para(6338(a,1),1160(a,1,1)),flip(a)]. 6342 T(K(x,y) * z,x) = K(x,y) * T(z,x). [para(6338(a,1),4968(a,1,2)),flip(a)]. 6344 T(x * K(y,z),y) = T(x,y) * K(y,z). [hyper(5145,a,6339,a)]. 6345 T(K(x,y) * (K(x,y) \ ((z \ 1) \ K(x,y))),x) = K(z,x) * ((z \ 1) \ K(x,y)). [hyper(189,a,4401,a,b,6342,a)]. 6346 x \ T(K(y,z) * (K(y,z) \ (x * u)),y) = (x \ K(y,z)) * T((x \ K(y,z)) \ u,y). [hyper(75,a,6342,a,b,826,a)]. 6348 T(K(x,y) * T(z,u),x) = K(x,y) * T(T(z,x),u). [para(41(a,1),6342(a,2,2))]. 6349 T(K(x,y) * K(z,u),x) != w | K(x,y) * K(z,T(u,x)) = w. [para(6342(a,2),5501(a,1))]. 6351 (T(x,y) / y) * T(y,z) = T(x * K(y,z),y). [hyper(189,a,5140,a,b,6344,a),flip(a)]. 6352 x \ T(x * K(y,z),y) = K(x,y) * K(y,z). [hyper(75,a,6344,a,b,4376,a)]. 6354 T((1 / ((x * y) \ x)) * K(y,z),y) = ((1 / ((x * y) \ x)) / y) * T(y,z). [para(5600(a,1),6351(a,1,1,1)),flip(a)]. 6355 x \ T(y * (x / y),y) = K(x,y) * K(y,y \ x). [para(3903(a,1),6352(a,1,2,1))]. 6356 T(K(x * y,x) * z,K(x,y)) = z * K(x * y,x). [hyper(6123,a,6018,a),flip(a)]. 6357 K(L(x,K(y,z),u),y) = K(K(y,z) * x,y). [hyper(189,a,5541,a(flip),b,6212,a(flip)),flip(a)]. 6358 K(L(x,K(y,z),u),y) = K(x,y). [hyper(189,a,6201,a(flip),b,6357,a)]. 6360 K((x * K(y,z)) \ u,y) = K(K(y,z) \ (x \ u),y). [para(183(a,1),6358(a,1,1))]. 6361 K(K(R(x,y,z),u) * w,T(x,v5)) = K(w,T(x,v5)). [para(5746(a,1),6233(a,1,1,1))]. 6362 K(x,(y / x) \ z) = K(x,y \ (x * z)). [hyper(6236,a,6141,a)]. 6363 K(x \ (y \ (z * y)),y) = K(x \ z,y). [hyper(6278,a,xx),flip(a)]. 6364 R((K(x,K(y,(y * x) * z)) * u) / (K(x,y) \ u),y * x,z) = ((y * x) * z) \ ((x * y) * z). [para(5962(a,2),4457(a,1,1))]. 6365 (x * K(y,z)) * T(K(z,y),u) = x * K(z,K(y,u)). [para(3919(a,1),5964(a,1,1)),flip(a)]. 6366 T(x,K(y,z)) * K(x \ y,x) = x * T(K(x \ y,x),z). [para(6002(a,1),4545(a,1,2)),flip(a)]. 6367 K(x * y,x) * K(x,K(y,z)) = K(x * y,T(x,z)). [hyper(1962,a,6014,a)]. 6368 L(T(K(x,y),z * (u * K(y,x))),u,z) = (z * u) / (z * (u * K(y,x))). [hyper(76,a,5921,a(flip),b,6054,a),flip(a)]. 6369 T(T(x,L(K(y,z),u,w)),L(K(y,z),u,w)) = x. [hyper(4023,a,6055,a)]. 6370 x * K(L(K(y,z),u,w),x) != v5 | T(x,L(K(y,z),u,w)) = v5. [para(6369(a,1),4486(a,1))]. 6371 K(x * y,y * K(y \ 1,x)) = K(y \ 1,x). [hyper(189,a,5343,a(flip),b,6057,a)]. 6372 K((x / y) \ 1,x * K(z,u)) = K(x \ y,K(z,u) * x). [hyper(189,a,4760,a,b,6070,a(flip)),flip(a)]. 6373 K(x,y) * T(y,T(z,x)) = T((x * y) / x,z). [hyper(5312,a,6076,a)]. 6374 K(x,y) * T((y * x) / y,z) = T(x,T(z,y)). [hyper(3907,a,6373,a)]. 6375 K(x,y) * T(x * K(y,x),z) = T(x,T(z,y)). [para(4375(a,1),6374(a,1,2,1))]. 6376 K(x,y) \ T(x,T(z,y)) = T(x * K(y,x),z). [hyper(80,a,6375,a)]. 6377 T(x,T((y * z) \ y,u)) = K(x,u) * T(x * K(u,x),z \ 1). [para(5472(a,1),6375(a,1,2)),flip(a)]. 6378 K(x,y) * T(x * K(y,x),z) != u | T(x,T(z,y)) = u. [para(6376(a,1),203(a,1,2)),flip(b)]. 6379 K(R(x / (x / y),z,u),w) = K(R(y,z,u),T(w,y \ x)). [para(4318(a,2),6077(a,1,1,1))]. 6380 K(R(x,y,z),T(u * w,w) / T(u,w)) = K(R(T(x,T(u,w)),y,z),R(w,u,w)). [para(3761(a,1),6080(a,1,2)),flip(a)]. 6381 K(T(x,y * K(z,y)),u) = u / T(u,x * K(T(x,z),y)). [para(6090(a,1),4356(a,2,2))]. 6382 K(x * K(y,z),(x / u) \ 1) = K(K(y,z) * x,x \ u). [hyper(21,a,4856,a,b,6097,a),flip(a)]. 6383 K(T(x,y),(x \ z) \ u) = K(T(x,y),z \ (x * u)). [hyper(20,a,5926,a,b,6151,a)]. 6384 T((x \ y) * x,z * K(u,y)) = T((x \ y) * x,z). [hyper(189,a,4153,a,b,6167,a)]. 6385 x * K(y / z,(z \ y) \ x) = (y / z) * (x / (y / z)). [para(6215(a,1),3903(a,1,2))]. 6386 x * (K(x / y,z) * K(x * K(y \ x,z),x)) = T(x * K(x / y,z),x). [para(6217(a,1),5248(a,1,2,2))]. 6387 (x * K(y,z)) / (y \ x) = T(y,T(z,x / y)). [para(5140(a,1),6237(a,1,1))]. 6388 T(x,T(y,z / x)) = T(x,T(y,z)). [hyper(6062,a,6387,a),flip(a)]. 6389 T(x,T(y,x \ z)) = T(x,T(y,z)). [hyper(189,a,6329,a(flip),b,6388,a(flip)),flip(a)]. 6390 T(x,T(y,z * x)) = T(x,T(y,z)). [para(18(a,1),6388(a,1,2,2)),flip(a)]. 6391 T(x \ y,T(z,y)) = T(x \ y,T(z,x)). [para(67(a,1),6388(a,1,2,2)),flip(a)]. 6392 T(x * y,T(z,y \ 1)) = T(x * y,T(z,x)). [para(5472(a,1),6389(a,1,2))]. 6393 T(x,T(y / (z * x),z)) = T(x,(z * x) \ y). [para(115(a,1),6390(a,1,2)),flip(a)]. 6394 T(x / y,T(x,y)) = T(x / y,x). [para(3780(a,1),6390(a,1,2)),flip(a)]. 6395 T(x * K(y,x),T(y * x,y)) = T((y * x) / y,y * x). [hyper(4893,a,6394,a)]. 6396 T(x \ y,T(y,x)) = T(x \ y,y). [para(112(a,1),6391(a,1,2)),flip(a)]. 6397 R(x \ y,z,u) \ R(T(x \ y,y),z,u) = K(R(x \ y,z,u),T(y,x)). [para(6396(a,1),4398(a,1,2,1))]. 6398 K(((x * y) \ (z * y)) \ 1,T(x,z)) = (x * y) \ ((z * T(z \ x,x)) * y). [para(6396(a,1),4752(a,1,2,1,2)),flip(a)]. 6399 (T(x,T(x \ y,z)) * z) \ (z * ((x \ y) \ y)) = K(z,x). [para(6238(a,1),5164(a,1,1,1))]. 6400 ((x * y) * z) / ((x * T(y,u)) * z) = K(u,R(T(y,x),x,z)). [hyper(189,a,5815,a,b,6286,a(flip)),flip(a)]. 6401 K(R(T(x,T(y,z)),u,w),z) = K(R(T(x,y),u,w),z). [para(45(a,2),6290(a,2,1))]. 6402 T(x * K(y,x),T(y,z)) = T(x * K(z,x),T(z,y)). [hyper(21,a,4423,a,b,6337,a)]. 6403 T(K(x,y) * T(y,z),x) = y * K(T(y,x),z). [hyper(189,a,4562,a(flip),b,6348,a)]. 6404 K(x * K(T(x,y),z),T(u,y)) = K(K(y,x) * T(x,z),u). [para(6403(a,1),6027(a,1,1))]. 6406 K((x * K(y,z)) \ u,y) = K(x \ u,y). [hyper(189,a,6202,a(flip),b,6360,a)]. 6408 K((x * K(y,z)) \ u,z) = K(x \ u,z). [para(3919(a,1),6406(a,1,1,1)),flip(a)]. 6409 K((K(x,y) * z) \ u,y) = K(z \ u,y). [para(5348(a,1),6406(a,1,1,1)),flip(a)]. 6410 K((x * K(y,z)) \ u,T(y,w)) = K(x \ u,T(y,w)). [para(6027(a,1),6406(a,1,1,1,2))]. 6411 K(x,(y * K(z,x)) \ u) = (w * K(y \ u,x)) \ w. [para(6408(a,1),3918(a,1,1,2)),flip(a)]. 6413 K((x * L(K(y,z),u,w)) \ v5,z) = K(x \ v5,z). [para(4829(a,1),6408(a,1,1,1,2))]. 6414 K(T(x,T(y,z)) \ u,y) = K(x \ u,y). [para(5388(a,1),6408(a,1,1,1))]. 6415 K(x \ K(y,z),y) = K(x \ 1,y). [hyper(5469,a,6409,a)]. 6416 K(L(x \ y,x,K(z,u)),u) = K(x \ (K(z,u) * y),u). [para(104(a,2),6409(a,1,1))]. 6417 K(x \ L(K(y,z),u,w),y) = K(x \ 1,y). [para(5886(a,1),6415(a,1,1,2))]. 6418 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(6417(a,1),4738(a,1,1,1,2)),flip(a)]. 6419 K((x * (y * K(z,u))) \ w,z) = K((x * y) \ w,z). [para(5921(a,1),6413(a,1,1,1)),flip(a)]. 6420 T((x \ y) * x,z \ T(u,y)) = T((x \ y) * x,z \ u). [para(1077(a,1),6384(a,1,2))]. 6421 x * T(y * K(z,y),T(z,x)) = T(x,y) * T(y,T(x,z)). [para(6402(a,1),5377(a,1,2))]. 6422 K(x,(y * K(z,x)) \ u) = K(x,y \ u). [hyper(189,a,3918,a(flip),b,6411,a)]. 6423 K(x,(y * K(z,x)) \ u) != w | K(x,y \ u) = w. [para(6411(a,2),3922(a,1))]. 6424 K(x,(K(x,y) * z) \ u) = K(x,z \ u). [para(5365(a,1),6422(a,1,2,1)),flip(a)]. 6425 T(x,(K(x,y) * z) \ u) = x * K(x,z \ u). [para(6424(a,1),4396(a,2,2))]. 6426 T(x,(K(x,y) * z) \ u) = T(x,z \ u). [hyper(189,a,4396,a,b,6425,a)]. 6428 T(x,(K(y,x) * z) \ u) = T(x,z \ u). [para(3887(a,1),6426(a,1,2,1)),flip(a)]. 6430 K(T(x,y),(z * K(u,x)) \ w) != v5 | K(T(x,y),z \ w) = v5. [para(5396(a,1),6423(a,1,2,1,2))]. 6431 K(x,(y * (x \ z)) \ u) != w | K(x,(y * (z / x)) \ u) = w. [para(5453(a,1),6423(a,1,2,1))]. 6432 T(x,(y * (z * K(x,u))) \ w) = 1 / (x \ K((y * z) \ w,x)). [para(6419(a,1),4466(a,2,2,2))]. 6433 L(K(T(x,y),T(z,y)),u,w) = K(x,L(z,u / T(z,y),w)). [hyper(6109,a,5891,a),flip(a)]. 6434 R(T(x,y),z,T(x,u)) = R(T(x,y),z,x). [hyper(189,a,5057,a(flip),b,6218,a(flip)),flip(a)]. 6438 T(T(x,y) * z,T(x,y)) = z * R(T(x,y),z,x). [para(6434(a,1),3668(a,1,2)),flip(a)]. 6439 T(T(T(x,y),z) * T(y,x),T(T(x,y),z)) = T(y,x) * R(T(T(x,y),z),y,x). [para(3794(a,1),6438(a,2,2))]. 6440 K(T(x,y),y \ (x * z)) = K(x,z / (x \ y)). [hyper(6276,a,6383,a),flip(a)]. 6441 K(x,(x * y) / z) = K(x,y / (x \ z)). [hyper(6111,a,6440,a)]. 6442 K(x,y / (x \ z)) = K(x,(z / y) \ x). [hyper(5687,a,6441,a),flip(a)]. 6443 K(x,(x \ y) / (x \ z)) = K(x,y / z). [para(17(a,1),6441(a,1,2,1)),flip(a)]. 6444 K(x,((x * y) / z) \ x) = K(x,z / y). [para(16(a,1),6442(a,1,2,2)),flip(a)]. 6445 K(x,(x \ y) / (z / x)) = K(x,y / z). [hyper(6226,a,6443,a)]. 6446 K(x,((y \ (x * z)) \ (x * z)) \ x) = K(x,T(y \ (x * z),y) / z). [para(3585(a,1),6444(a,1,2,1))]. 6447 K(x,(T((x * y) / z,u) \ (x * y)) \ x) = K(x,T(z \ (x * y),u) / y). [para(6305(a,1),6444(a,1,2,1))]. 6448 K(x,(x \ y) / z) = K(x,y / (z * x)). [para(18(a,1),6445(a,1,2,2))]. 6449 K(T(x,y),z \ (x \ y)) = K(x,y / (z * x)). [hyper(6084,a,6448,a)]. 6450 (x * K(y,z / (u * y))) \ x = K((y \ z) / u,y). [para(6448(a,1),3918(a,1,1,2))]. 6451 K((x \ y) / z,x) != u | K(y / (z * x),x) = u. [para(6450(a,1),3922(a,1))]. 6452 K(T(x,y),T(z,x \ u)) = K(T(x,y),T(z,u)). [hyper(6313,a,6043,a),flip(a)]. 6453 K(T(x,y),T(z,x * u)) = K(T(x,y),T(z,u)). [para(16(a,1),6452(a,1,2,2)),flip(a)]. 6454 L(K(x,K(y,z)),u,w) = K(L(K(x,y),u,w),z). [para(4829(a,1),5959(a,1,1)),flip(a)]. 6455 R(K(x,K(y,z)),u,w) = K(R(K(x,y),u,w),z). [para(4820(a,1),5960(a,1,1)),flip(a)]. 6456 K(R(K(x,y),z,u),w) = K(y,R(K(x,w),z,u)). [para(4820(a,1),5981(a,1,2)),flip(a)]. 6457 R(K(x,K(y,z)),u,w) = K(y,R(K(x,z),u,w)). [hyper(189,a,6455,a,b,6456,a(flip)),flip(a)]. 6458 R(K(x,K(y,z)),u,w) = K(x,R(K(y,z),u,w)). [para(5966(a,1),6457(a,1,1))]. 6459 R(K(x,K(y,z)),y,u) = K(x,K(y,z)). [para(3705(a,1),6458(a,2,2))]. 6460 R(K(x,K(y,z \ 1)),u,w) = K(x,K(y,R(z,u,w) \ 1)). [para(5667(a,1),6458(a,2,2))]. 6461 K(L(K(x,y),z,u),w) = K(y,L(K(x,w),z,u)). [para(4829(a,1),5982(a,1,2)),flip(a)]. 6462 K(T((x \ 1) \ 1,T(y,x)),z \ ((T(x,y) \ 1) * y)) = K((x \ 1) \ 1,((x \ 1) * T(y,x)) / z). [para(5148(a,2),6082(a,1,2,2))]. 6463 L(K(x,y),z,L(x,u,w)) = K(x,y). [hyper(5798,a,6147,a)]. 6464 K(L(x,y,L(x,z,u)),w) = K(x,w). [hyper(189,a,5541,a(flip),b,6463,a(flip)),flip(a)]. 6465 K(L(x,y,x),z) = K(x,z). [para(262(a,1),6464(a,1,1,3))]. 6466 K(R(x,y,x),z) = K(x,z). [para(4028(a,1),6465(a,1,1)),flip(a)]. 6467 K(x,y) * L(x,z,x) = L(T(x,y),z,x). [para(6465(a,1),4446(a,1,1))]. 6468 R(K(x,y),z,x) = K(x,y). [hyper(189,a,5749,a(flip),b,6466,a(flip)),flip(a)]. 6469 K((x \ y) \ T(y,x),z) = K(x,z). [para(3670(a,1),6466(a,1,1))]. 6470 K(x,R(y,z,y)) = 1 / K(y,x). [para(6466(a,1),3875(a,1,2)),flip(a)]. 6471 x * K(R(x,y,x),z) = T(x,z). [para(6466(a,2),4396(a,2,2)),flip(a)]. 6472 K(x,y) * R(x,z,x) = T(R(x,z,x),y). [para(6466(a,1),4403(a,2,1)),flip(a)]. 6474 R(K(x,y),z,x) = K(x,y * K(u,x)). [hyper(189,a,6177,a,b,6468,a)]. 6475 K(x,R(y,z,x)) = K(x,y). [hyper(189,a,5683,a(flip),b,6468,a(flip)),flip(a)]. 6476 (K(x,y) * z) * x = K(x,y) * (z * x). [para(6468(a,1),110(a,1,1)),flip(a)]. 6477 T(x,R(y,z,x)) = x * K(x,y). [para(6475(a,1),4396(a,2,2))]. 6478 (x * (K(y,x) * z)) * y = K(y,x) * ((x * z) * y). [para(6475(a,1),5038(a,1,1)),flip(a)]. 6479 K(x,R(y,z,y)) = K(x,y). [hyper(189,a,3875,a(flip),b,6470,a)]. 6480 K(x,R(y,z,y)) != u | K(x,y) = u. [para(6470(a,2),3880(a,1))]. 6481 K(x,R(T(y,z),u,y)) = K(x,T(y,z)). [para(6434(a,1),6479(a,1,2))]. 6482 T(x,R(y,z,x)) = T(x,y). [hyper(189,a,4396,a,b,6477,a)]. 6485 T(x,T(y / (z * x),z)) = T(x,z \ (y / x)). [para(519(a,1),6482(a,1,2))]. 6490 K(x,y * K(z,x)) != u | K(x,y) = u. [para(6474(a,1),273(a,1)),flip(b)]. 6491 K(x,T(R(y,z,y),u)) = K(x,T(y,u)). [para(45(a,1),6481(a,1,2))]. 6492 K(x,y * T(z,x)) != u | K(x,y * z) = u. [para(1078(a,1),6490(a,1,2))]. 6493 K(x,y \ T(z,x)) != u | K(x,y \ z) = u. [para(1077(a,1),6490(a,1,2))]. 6494 K(x,T(T(y,y * z),u)) = K(x,T(T(y,z),u)). [para(3609(a,1),6491(a,1,2,1)),flip(a)]. 6495 K(x,y) * L(T(y,x),z,y) = L(y,z,y). [hyper(3907,a,6467,a)]. 6496 K(x,y) * R(x,z,x) = R(T(x,y),z,x). [hyper(189,a,45,a,b,6472,a)]. 6497 L(x,y,K(x,z)) = x. [hyper(5798,a,6476,a)]. 6498 (K(x,y) * (z * x)) \ (K(x,y) * z) != u | L(x \ 1,x,K(x,y) * z) = u. [para(6476(a,1),310(a,1,1))]. 6499 K(x \ y,x) * ((z / (x \ y)) * (x \ y)) = T(z / (y / x),K(x,y)) * (x \ y). [para(6017(a,1),6476(a,1,1)),flip(a)]. 6500 L(R(x,y,z),u,K(x,w)) = R(x,y,z). [para(6497(a,1),47(a,1,1)),flip(a)]. 6501 L(L(x,y,z),u,K(x,w)) = L(x,y,z). [para(6497(a,1),48(a,1,1)),flip(a)]. 6502 (K(x,y) * z) * R(x,u,w) = K(x,y) * (z * R(x,u,w)). [para(6497(a,1),351(a,1,2,1))]. 6503 (K(x,y) * z) * L(x,u,w) = K(x,y) * (z * L(x,u,w)). [para(6497(a,1),352(a,1,2,1))]. 6504 L(K(x,y),z,K(x,u)) = K(x,y). [para(6497(a,1),5540(a,1,1)),flip(a)]. 6505 L(K(x,y),z,K(y,u)) = K(x,y). [para(6497(a,1),5891(a,1,2)),flip(a)]. 6506 L(T(K(x,y),z),u,K(x,w)) = T(K(x,y),z). [para(6504(a,1),43(a,2,1))]. 6507 L(R(K(x,y),z,u),w,K(x,v5)) = R(K(x,y),z,u). [para(6504(a,1),47(a,1,1)),flip(a)]. 6508 (K(x,y) * z) * K(x,u) = K(x,y) * (z * K(x,u)). [para(6504(a,1),102(a,1,2))]. 6509 (K(x,y) * z) * K(u,x) = K(x,y) * (z * K(u,x)). [para(6505(a,1),102(a,1,2))]. 6510 (K(x,y) * z) \ (K(x,y) * T(x * z,x)) = R(x,z,x). [hyper(189,a,3671,a,b,6500,a(flip)),flip(a)]. 6511 L(x,y,T(x,z)) = L(x,y,x). [hyper(5107,a,6501,a)]. 6512 L(x,y,K(z,x)) = x. [hyper(4042,a,6501,a)]. 6515 K(x,y) * (T(z,K(x,y)) * y) = (z * K(x,y)) * y. [para(6512(a,1),353(a,1,2)),flip(a)]. 6516 L(K(x,y),z,K(u,y)) = K(x,y). [para(6512(a,1),5891(a,1,2)),flip(a)]. 6518 L(T(x,y),z,T(x,u)) = T(L(x,z,x),y). [para(6511(a,1),43(a,2,1))]. 6520 L(x * K(y,x),z,x * K(y,x)) = L(x * K(y,x),z,x). [para(4374(a,1),6511(a,1,3)),flip(a)]. 6521 K(L(x,y,K(z,u)),u) = K(x,u). [hyper(189,a,5541,a(flip),b,6516,a(flip)),flip(a)]. 6522 (K(x,y) * z) * K(u,y) = K(x,y) * (z * K(u,y)). [para(6516(a,1),102(a,1,2))]. 6523 K(x \ (K(y,z) * u),z) = K(x \ u,z). [hyper(189,a,6416,a(flip),b,6521,a(flip)),flip(a)]. 6524 T(x,L(y,z,K(u,x))) = (K(y,x) / x) \ 1. [para(6521(a,1),4417(a,2,1,1))]. 6525 (x / L(T(y,z),u,y)) * K(y,z) = x / L(y,u,y). [para(6495(a,1),5840(a,1,2)),flip(a)]. 6526 R(x,y,x) * K(x,z) = R(T(x,z),y,x). [hyper(2657,a,6496,a)]. 6527 T(x,y) \ R(T(x,y),z,x) = x \ R(x,z,x). [hyper(75,a,6496,a(flip),b,4377,a)]. 6528 L(T(x,y),z,T(x,u)) = L(T(x,y),z,x). [hyper(189,a,43,a,b,6518,a)]. 6531 K(x \ (K(y,z) * u),y) = K(x \ u,y). [para(3887(a,1),6523(a,1,1,2)),flip(a)]. 6532 K(x \ ((y \ z) * y),y) = K(x \ z,y). [para(4291(a,1),6523(a,1,1,2))]. 6533 K(x \ (y / z),y / z) = K(x \ (z \ y),y / z). [para(4312(a,1),6523(a,1,1,2))]. 6535 K(x \ (y * z),z) = K(x \ (z * y),z). [para(4373(a,1),6523(a,1,1,2))]. 6536 K(x \ (T(y,z) \ u),y) = K(x \ (y \ u),y). [para(4558(a,1),6523(a,1,1,2))]. 6538 R(x,y,x) * (K(x,z) * u) = R(T(x,z),y,x) * u. [para(6526(a,1),3659(a,1,1)),flip(a)]. 6540 K(x \ (T(y,z) * (y \ u)),y) = K(x \ u,y). [para(4377(a,2),6531(a,1,1,2))]. 6541 K(x \ (K(y,z) * u),T(y,w)) = K(x \ u,T(y,w)). [para(6027(a,1),6531(a,1,1,2,1))]. 6542 K((x / y) \ z,T(z,y)) = K(x \ (y * z),z). [hyper(189,a,5617,a,b,6535,a),flip(a)]. 6543 T(K(x,y),K(x,z) * u) = T(K(x,y),u). [hyper(189,a,5036,a(flip),b,6506,a(flip)),flip(a)]. 6545 T(K(x,y),K(z,x) * u) = T(K(x,y),u). [para(3887(a,1),6543(a,1,2)),flip(a)]. 6546 T(K(x,y),z * K(u,x)) = T(K(x,y),z). [para(6052(a,1),6543(a,1,2)),flip(a)]. 6547 T(K(x,y),z * L(K(u,x),w,v5)) = T(K(x,y),z). [para(4829(a,1),6546(a,1,2,2))]. 6548 T(x,L(y,z,K(u,x))) = T(x,y). [hyper(189,a,4417,a,b,6524,a)]. 6549 T(x,(K(y,x) * z) \ (K(y,x) * u)) = T(x,z \ u). [para(104(a,1),6548(a,1,2))]. 6550 T(x,(y * x) \ z) = T(x,y \ (z / x)). [hyper(189,a,6393,a(flip),b,6485,a(flip)),flip(a)]. 6551 T(x,(y * x) \ z) = T(x,y \ (x \ z)). [hyper(189,a,6188,a(flip),b,6550,a)]. 6552 T(x,L(x \ y,x,z)) = T(x,z \ (x \ (z * y))). [para(104(a,2),6551(a,1,2))]. 6553 K(x,T(T(y,z),u * y)) = K(x,T(T(y,u),z)). [para(3511(a,1),6494(a,1,2))]. 6554 K(T(x,y),z \ (T(x,u) * (x \ w))) = T(x * K(z \ w,x),y) \ T(x,y). [para(6540(a,1),4660(a,1,1,1,2)),flip(a)]. 6555 K(x \ ((y \ x) * z),z) = K(y \ z,T(z,y \ x)). [para(67(a,1),6542(a,1,1,1)),flip(a)]. 6556 K(x * y,T(T(x,y),z)) = K(x * y,T(x,z)). [hyper(6104,a,6553,a),flip(a)]. 6557 K(x,T(T(y,z),u * y)) = K(x,T(T(y,z),u)). [para(41(a,1),6553(a,2,2))]. 6558 R(T(x,y),z,x) / T(T(x,z),y) = K(x * z,T(x,y)). [hyper(189,a,4938,a,b,6556,a(flip)),flip(a)]. 6559 K(x,T(T(y,z),u \ 1)) = K(x,T(T(y,z),u \ y)). [para(3692(a,1),6557(a,1,2)),flip(a)]. 6560 T(K(x,y),z * (u * K(w,x))) = T(K(x,y),z * u). [para(102(a,1),6547(a,1,2))]. 6561 T(K(x,y) * z,K(x,u)) = K(x,y) * T(z,K(x,u)). [hyper(147,a,6508,a,b,5829,a)]. 6563 T((K(x,y) * K(z,x)) \ (K(x,y) * (u * K(z,x))),K(x,y)) = R(T(u,K(x,y) * K(z,x)),K(x,y),K(z,x)). [para(6509(a,1),832(a,1,1,2))]. 6564 K(x,y) * (z * K((u * w) / u,x)) = (K(x,y) * z) * K(w,T(x,u)). [para(6034(a,1),6509(a,1,2)),flip(a)]. 6565 T(x * y,K(z,y)) = T(x,K(z,y)) * y. [hyper(5246,a,6515,a)]. 6566 T(x * (y \ z),K(y,y \ z)) = T(x,K(y,z)) * (y \ z). [para(6015(a,1),6565(a,2,1))]. 6567 K(x,y) * (K(z,x) * (u * K(y,x))) = T(K(z,x) * u,K(x,y)). [para(6522(a,1),6122(a,1,2))]. 6568 R(K(x \ (y \ z),z / y),z / y,y) = K(z / (x * y),z / y). [para(6533(a,1),5765(a,1,1))]. 6570 K(x \ (y * z),T(z,u)) = K(x \ (z * y),T(z,u)). [para(4373(a,1),6541(a,1,1,2)),flip(a)]. 6571 K(x \ (T(y,z) \ u),T(y,w)) = K(x \ (y \ u),T(y,w)). [para(4541(a,1),6541(a,1,1,2)),flip(a)]. 6572 T(x,y \ (K(z,x) * u)) = T(x,y \ u). [hyper(189,a,6428,a(flip),b,6549,a(flip)),flip(a)]. 6574 T(x,y \ (z * x)) = T(x,y \ (x * z)). [para(4373(a,1),6572(a,1,2,2))]. 6575 L(x,y,z) \ L(T(x,u \ (x * w)),y,z) = K(L(x,y,z),u \ (w * x)). [para(6574(a,1),4397(a,1,2,1))]. 6576 T(x * K(y,z),K(z,u)) = T(x,K(z,u)) * K(y,z). [hyper(4992,a,6561,a),flip(a)]. 6577 T(K(x,K(y,z)) * u,K(x,w)) = K(z,K(x,y)) * T(u,K(x,w)). [para(5969(a,1),6561(a,2,1))]. 6578 K(x \ (((y \ 1) \ 1) * z),T(z,u)) = K(x \ (z * y),T(z,u)). [hyper(189,a,5567,a(flip),b,6570,a)]. 6579 (K(x,y) * z) \ T(K(x,y) * (x * z),x) = R(x,z,x). [para(6342(a,2),6510(a,1,2))]. 6580 R(T(x,y),z,x) / T(T(x,y),z) = K(x * z,T(x,y)). [para(41(a,1),6558(a,1,2))]. 6581 (K(x,y) * z) \ T(T(x,y) * z,x) = R(x,z,x). [para(4407(a,1),6579(a,1,2,1))]. 6582 R(x,K(x,y) * z,x) = R(x,z,x). [hyper(4546,a,6581,a)]. 6583 R(x \ y,(y / x) \ z,x \ y) = R(x \ y,(x \ y) \ z,x \ y). [para(4308(a,1),6582(a,1,2))]. 6584 K(x * y,T(T(y,z),x)) = K(y * x,T(y,z)). [hyper(189,a,4958,a(flip),b,6580,a(flip)),flip(a)]. 6585 K(x * y,T(T(y,x),z)) = K(y * x,T(y,z)). [para(41(a,1),6584(a,1,2))]. 6586 K(x * (y / (y / z)),T(T(y / (y / z),x),z \ y)) = K((y / (y / z)) * x,z). [para(3573(a,1),6585(a,2,2))]. 6587 L(K(x,y),z,R(x,u,w)) = K(x,y). [hyper(5798,a,6148,a)]. 6588 K(L(x,y,R(x,z,u)),w) = K(x,w). [hyper(189,a,5541,a(flip),b,6587,a(flip)),flip(a)]. 6589 K(x \ y,T(z,x)) = K(y / (x * K(z,u)),z). [hyper(189,a,6410,a(flip),b,6165,a(flip)),flip(a)]. 6590 K(x / (y * K(z,u)),z) = K(x / y,z). [hyper(6102,a,6589,a),flip(a)]. 6592 K(x / (K(y,z) * u),z) = K(x / u,z). [para(5348(a,1),6590(a,1,1,2)),flip(a)]. 6593 T(x,y / (K(z,x) * u)) = 1 / (x \ K(y / u,x)). [para(6592(a,1),4466(a,2,2,2))]. 6594 T(x,y / (K(z,x) * u)) = T(x,y / u). [hyper(189,a,4466,a,b,6593,a)]. 6595 T(x,((y * K(z,x)) * u) / u) = T(x,R(y,K(z,x),u)). [para(33(a,2),6594(a,1,2)),flip(a)]. 6596 T(x,R(y,K(z,x),u)) = T(x,y * K(z,x)). [para(18(a,1),6595(a,1,2)),flip(a)]. 6597 T(x,R(y,K(z,x),u)) = T(x,y). [hyper(189,a,6159,a(flip),b,6596,a)]. 6600 K(x,R(y,K(z,x),u)) = x \ T(x,y). [hyper(75,a,6597,a(flip),b,4396,a(flip)),flip(a)]. 6601 K(x,R(y,K(z,x),u)) = K(x,y). [hyper(189,a,4360,a,b,6600,a)]. 6602 K(x,R(R(y,K(z,x),u),w,v5)) = K(x,R(y,w,v5)). [para(49(a,1),6601(a,1,2))]. 6603 R(K(x,y),(y * K(z,x)) * u,w) = K(x,R(R(y,K(z,x),u),K(z,x) * u,w)). [para(6601(a,1),5684(a,1,1))]. 6604 K(T(x,y) \ K(z,x),T(x,y)) = K(x \ 1,x). [hyper(189,a,2909,a(flip),b,6242,a)]. 6606 (T(x,y) \ K(z,x)) * T(x,y) = K(z,x) * K(x \ 1,x). [para(6604(a,1),213(a,1,2)),flip(a)]. 6607 (x * (K(y,z) * u)) * K(y,K(z,u)) = x * (u * K(y,z)). [para(5969(a,2),6260(a,1,2))]. 6608 ((x * (y * K(z,y))) / x) / ((x * y) / x) = K(T(z,x),y). [para(4375(a,1),6270(a,1,1,1,2))]. 6609 K(x,K(y,z)) * (T(z,y) * u) = T(z,T(y,x)) * u. [para(6326(a,1),6282(a,2,1))]. 6610 K(L(x,y / T(x,z),u),w) = L(K(x,w),y,u). [para(6027(a,1),6287(a,1,1)),flip(a)]. 6611 L(K(x,y),z * K(u,x),w) = L(K(x,y),z,w). [hyper(189,a,5545,a,b,6610,a(flip)),flip(a)]. 6612 L(K(x,y),T(z,x),u) = L(K(x,y),z,u). [hyper(189,a,5542,a(flip),b,6610,a(flip)),flip(a)]. 6613 L(K(x,y),x * z,u) = K(L(x,z,u),y). [para(129(a,1),6610(a,1,1,2)),flip(a)]. 6614 K(L(x,x \ y,z),u) = L(K(x,u),y,z). [para(174(a,1),6610(a,1,1,2))]. 6617 K(L(x,y,z),x * y) = K(x,x * y). [hyper(5327,a,6613,a),flip(a)]. 6618 K(L(x,y,z),(z \ u) \ (x * y)) = K(x,u \ (z * (x * y))). [hyper(189,a,5915,a(flip),b,6613,a(flip))]. 6619 K(L(x,T(x,y) \ 1,z),u) = L(K(x,u),K(y,x),z). [para(4358(a,2),6613(a,1,2)),flip(a)]. 6620 K(L(x,x \ 1,y),z) = K(x,z). [hyper(189,a,262,a(flip),b,6614,a)]. 6621 K(T(x,y),T(z,y)) = K(L(x,T(x,y) \ 1,u),z). [hyper(6108,a,6620,a),flip(a)]. 6623 L(K(x,y),z / K(x,y),u) \ (u * z) = T(u * (z * K(y,x)),L(K(x,y),z,u)). [para(6611(a,1),5823(a,1,2)),flip(a)]. 6624 K(L(x,T(x,y) \ 1,z),u) != w | K(x,u) = w. [para(6621(a,1),6101(a,1))]. 6625 L(K(x,y),K(z,x),u) = K(x,y). [hyper(6624,a,6619,a),flip(a)]. 6626 (x * K(y,z)) * K(z,u) = x * (K(y,z) * K(z,u)). [para(6625(a,1),102(a,1,2))]. 6627 (x * (K(y,z) * K(z,u))) * K(u,z) = x * K(y,z). [hyper(3929,a,6626,a)]. 6628 R(x,K(y,z),K(z,u)) = x. [hyper(376,a,6626,a)]. 6629 (x * K(y,z)) * K(z,u) = x * (K(z,u) * K(y,z)). [para(1959(a,2),6626(a,2,2))]. 6630 R(x,T(K(y,z),u),K(z,w)) = x. [para(1379(a,1),6628(a,1,2))]. 6631 R(x,L(K(y,z),u,w),K(z,v5)) = x. [para(4829(a,1),6628(a,1,2))]. 6632 R(x,T(K(y,z),u),T(K(z,w),v5)) = x. [para(4847(a,1),6630(a,1,3))]. 6633 (x * y) \ ((x * (y * K(z,u))) * K(u,w)) = L(K(z,u),y,x) * K(u,w). [para(6631(a,1),400(a,1,1))]. 6634 T(K(x,y),z) * T(K(y,u),K(x,y) * z) = z \ (K(y,u) * (K(x,y) * z)). [para(6632(a,1),730(a,1,1)),flip(a)]. 6635 x * T(K(y,z),u) != w | w * T(K(z,y),u) = x. [para(6632(a,1),5642(a,1)),flip(a)]. 6636 L(K(x,y),K(z,y),u) = K(x,y). [hyper(5928,a,6627,a)]. 6638 (x * (K(y,z) * K(u,y))) * K(z,y) = x * K(u,y). [para(1959(a,2),6627(a,1,1,2))]. 6639 (x * K(y,z)) * K(u,z) = x * (K(y,z) * K(u,z)). [para(6636(a,1),102(a,1,2))]. 6640 (x * K(y,z)) * (K(z,y) * K(u,y)) = x * K(u,y). [para(6636(a,1),3934(a,1,2)),flip(a)]. 6641 (x / (y * K(z,y))) * R(y * K(z,y),z,L(y,u,w)) = x * (K(y,z) * K(z * L(y,u,w),y)). [hyper(189,a,5864,a,b,6629,a(flip)),flip(a)]. 6642 (x * K(y,z)) * (K(y,u) * K(z,y)) = x * K(y,u). [para(3919(a,1),6629(a,1,1)),flip(a)]. 6643 (x / y) * (K(y,z) * K(u,y)) = (x / T(y,u)) * K(y,z). [para(5178(a,1),6629(a,1,1)),flip(a)]. 6644 (x * (K(y,z) * K(u,y))) * (K(z,y) * K(y,u)) = x. [hyper(21,a,6627,a,b,6638,a(flip)),flip(a)]. 6646 (x * K(y,z)) * K(z,u) != w | x * (K(z,u) * K(y,z)) = w. [para(6638(a,1),3921(a,1,1)),flip(b)]. 6647 (x * K(y,z)) * (K(u,y) * K(z,y)) = x * K(u,y). [para(3963(a,1),6640(a,1,2))]. 6648 (x * K(y,z)) \ (x * K(y,u)) = K(y,u) * K(z,y). [hyper(80,a,6642,a)]. 6649 L((K(x,y) * K(z,x)) \ 1,K(x,y) * K(z,x),u) = K(y,x) * K(x,z). [hyper(308,a,6644,a)]. 6650 x / (K(y,z) * K(z,u)) != w | x * (K(z,y) * K(u,z)) = w. [para(6644(a,1),248(a,1,1)),flip(b)]. 6651 ((x * K(y,z)) * K(u,y)) * K(z,y) = x * K(u,y). [hyper(189,a,6639,a,b,6647,a(flip)),flip(a)]. 6652 (K(x,y) * z) \ (z * K(x,u)) = K(x,u) * K(T(y,z),x). [para(5345(a,1),6648(a,1,1))]. 6653 (x * K(y,z)) * K(u,y) = (x * K(u,y)) * K(y,z). [hyper(3929,a,6651,a),flip(a)]. 6654 (x * K(y,z)) * K(u,y) = x * (K(y,z) * K(u,y)). [hyper(21,a,6638,a,b,6651,a)]. 6655 ((x * K(y,z)) * K(u,y)) * y = (x * K(u,y)) * T(y,z). [para(6651(a,1),5146(a,1,1)),flip(a)]. 6656 R(x,K(y,z),K(u,y)) = x. [hyper(376,a,6654,a)]. 6657 ((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(2539(a,1),6654(a,1,1))]. 6658 K(K(x,y) * T(y,z),T(u,z)) = K(y,T(u,T(x,z))). [hyper(189,a,6046,a(flip),b,6292,a)]. 6659 K(K(x,y) * T(y,z),T(u,z)) != w | K(y,T(u,T(x,z))) = w. [para(6292(a,2),6267(a,1))]. 6660 K(T(x * K(y \ (z * x),x),x),u) = K(x,T(u,T(z \ y,x) \ x)). [para(5535(a,1),6295(a,1,1,1,2))]. 6661 K(R(T(x,y * z),u,w),z) = K(R(T(x,z * y),u,w),z). [para(45(a,2),6298(a,2,1))]. 6662 K(x,K(y,z)) * (T(y,u) * x) = T(T(y,u) * x,K(y,z)). [para(5969(a,1),6335(a,1,1))]. 6663 T(x,K(y,x \ z)) = T(x,K(z,y)). [hyper(21,a,5993,a,b,6366,a),flip(a)]. 6664 T(x,K(y,x \ z)) = T(x,K(y,z)). [hyper(189,a,6118,a,b,6663,a)]. 6665 T(x,K(y,x \ z)) != u | T(x,K(y,z)) = u. [para(6663(a,2),6121(a,1))]. 6666 T(x,K(y,x * z)) = T(x,K(y,z)). [para(16(a,1),6664(a,1,2,2)),flip(a)]. 6667 T(x,K(y,x * z)) = T(x,K(z,y)). [hyper(189,a,6118,a,b,6666,a)]. 6668 T(x,K(y,z)) * K(y,z * x) = K(y,z * x) * x. [para(6666(a,1),6285(a,1,1))]. 6669 T(x,K(y,z * x)) = T(x,K(z,y)). [hyper(189,a,6284,a,b,6667,a(flip)),flip(a)]. 6670 T(T(x,y),K(z,x * u)) = T(T(x,K(u,z)),y). [para(6667(a,1),41(a,1,1)),flip(a)]. 6671 K(x * y,T(y,K(x,z))) = K(x * y,y). [para(6669(a,1),5342(a,1,2))]. 6672 K(x * R(y,z,u),R(T(y,K(x,w)),z,u)) = K(x * R(y,z,u),R(y,z,u)). [para(45(a,2),6671(a,1,2))]. 6673 K(R(x,y / x,z),T(u,x \ y)) = K((y * z) / ((y / x) * z),u). [para(111(a,1),6379(a,1,1)),flip(a)]. 6674 K(T(x,y * K(z,y)),u) = K(x * K(T(x,z),y),u). [hyper(189,a,4356,a,b,6381,a)]. 6675 K(T(x * K(x * y,x),z * K(y * x,z)),u) = K((x * K(x * y,x)) * K(x,z),u). [para(4620(a,1),6674(a,2,1,2,1))]. 6676 K(T(x,y * K(z * x,y)),u) = K(x * K(T(x,z),y),u). [para(5384(a,1),6674(a,2,1,2))]. 6677 K(K(x,y) * z,z \ x) = K(z,z \ T(x,y)). [hyper(189,a,5862,a(flip),b,6382,a(flip))]. 6678 (K(x,y) * z) * K(z,z \ T(x,y)) = T(K(x,y) * z,z \ x). [para(6677(a,1),4396(a,2,2)),flip(a)]. 6679 (((x * (y * x)) / x) / y) * (z / (((x * (y * x)) / x) / y)) = z * K(((x * (y * x)) / x) / y,T(x,y * x) \ z). [para(1473(a,1),6385(a,1,2,2,1)),flip(a)]. 6680 T(x * K(y,x),T(y * x,y)) = L(x,y,x). [hyper(189,a,3597,a(flip),b,6395,a)]. 6681 T(x * K(y,x),T(x * y,y)) = L(x,y,x). [hyper(189,a,5027,a(flip),b,6680,a(flip)),flip(a)]. 6682 K(x,y) * T(x * K(z,x),T(z,y)) = T(x,T(y,z)). [hyper(4586,a,6421,a(flip))]. 6683 x * (T(y,T(z,x)) * K(z,y)) = T(x,y) * T(y,T(x,z)). [para(5354(a,1),6421(a,1,2))]. 6684 K(x,y) * T(x * K(z \ y,x),T(z \ y,y)) = T(x,z * ((y * (z \ y)) / y)). [para(3330(a,2),6682(a,2,2))]. 6685 K(x,y) * T(x,K(z,y)) = T(x,T(y,z)). [para(6322(a,1),6682(a,1,2))]. 6686 K(x,L(y,z / T(y,u),w)) = L(K(x,y),z,w). [para(6027(a,1),6433(a,1,1)),flip(a)]. 6687 L(K(x,y),y * z,u) = K(x,L(y,z,u)). [para(129(a,1),6686(a,1,2,2)),flip(a)]. 6689 K(x * y,L(x,y,z)) = K(x * y,x). [hyper(5898,a,6687,a),flip(a)]. 6690 (x * (y * z)) * K(u,L(y,z,x)) = x * ((y * z) * K(u,y)). [para(6687(a,1),102(a,1,2))]. 6691 R(K(x,y),z,R(x,u,w)) = K(x,y). [hyper(376,a,6502,a)]. 6692 K(x,y) * ((y * x) * R(x,z,u)) = (x * y) * R(x,z,u). [para(4373(a,1),6502(a,1,1)),flip(a)]. 6693 (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(6502(a,1),4544(a,1,1,2))]. 6694 K(R(x,y,R(x,z,u)),w) = K(x,w). [hyper(189,a,5746,a(flip),b,6691,a(flip)),flip(a)]. 6695 K(x,y) * R(x,z,R(x,u,w)) = T(R(x,z,R(x,u,w)),y). [para(6694(a,1),4403(a,2,1)),flip(a)]. 6696 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(6694(a,1),4624(a,1,1,1)),flip(a)]. 6697 R(K(x,y),z,L(x,u,w)) = K(x,y). [hyper(376,a,6503,a)]. 6698 K(R(x,y,L(x,z,u)),w) = K(x,w). [hyper(189,a,5746,a(flip),b,6697,a(flip)),flip(a)]. 6699 K(T(x,y),T(z,y)) = K(R(x,u,L(T(x,y),w,v5)),z). [hyper(6105,a,6698,a),flip(a)]. 6700 K(x,y) * R(x,z,L(x,u,w)) = T(R(x,z,L(x,u,w)),y). [para(6698(a,1),4403(a,2,1)),flip(a)]. 6701 K(R(x,y,L(T(x,z),u,w)),v5) = K(x,v5). [hyper(6101,a,6699,a),flip(a)]. 6703 T(x,R(y,z,L(T(y,u),w,v5))) = (K(y,x) / x) \ 1. [para(6701(a,1),4417(a,2,1,1))]. 6704 T(x,R(y,z,L(T(y,u),w,v5))) = T(x,y). [hyper(189,a,4417,a,b,6703,a)]. 6705 T(x,R(y,z,y)) = T(x,y). [para(5291(a,1),6704(a,1,2,3))]. 6706 R(x,y,x) * T(z,x) = z * R(x,y,x). [para(6705(a,1),113(a,1,2))]. 6707 T(x,T(y,y \ z)) = T(x,T(y,z)). [para(3694(a,1),6705(a,1,2))]. 6708 T(x * K(y \ z,x),T(y \ z,y)) = T(x * K(y,x),T(y,z)). [hyper(189,a,6402,a,b,6707,a(flip)),flip(a)]. 6709 T(x,T(y,z \ 1)) = T(x,T(y,z \ y)). [para(3749(a,1),6707(a,1,2))]. 6710 R(x,y,x) * (x \ z) = (z / x) * R(x,y,x). [para(115(a,1),6706(a,1,2))]. 6712 (R(x,y,x) * (x \ z)) \ (z * R(x,y,x)) = x. [para(6710(a,2),1647(a,1,1))]. 6713 R(x,x \ y,x) * (x \ z) = (z / x) * ((x \ y) \ T(y,x)). [para(3670(a,1),6710(a,2,2))]. 6714 T(L(L(x * K(y,x),y,x),z,u) * y,x * K(y,x)) = L(x * K(y,x),z,u) * T(y,x). [para(6520(a,1),3850(a,1,1,1,1))]. 6715 T(x * (y \ z),K(y,z)) = T(x,K(y,z)) * (y \ z). [hyper(6016,a,6566,a)]. 6716 T(x * (y \ z),K(z,y)) = T(x,K(y,z)) * (y \ z). [hyper(6121,a,6715,a)]. 6717 T(x * (y \ z),K(z,y)) = T(x,K(z,y)) * (y \ z). [para(6118(a,1),6716(a,2,1))]. 6718 (T(x,y) \ K(z,x)) * T(x,y) = (T(x,z) \ 1) * x. [hyper(189,a,4633,a(flip),b,6606,a)]. 6719 T((T(x,y) \ K(z,x)) * T(x,y),T(x,u)) = (T(x,z) \ 1) * x. [hyper(4186,a,6718,a)]. 6720 K(T(x,y),z) * ((y * z) / y) = (y * (z * K(x,z))) / y. [para(6608(a,1),19(a,1,1))]. 6721 K(T(x,y),z) * (z * K(y,z)) = (y * (z * K(x,z))) / y. [para(6608(a,1),4664(a,1,1))]. 6722 (x / y) * (K(y,z) * K(u,y)) = x / (T(y,u) * K(z,y)). [hyper(189,a,5522,a,b,6643,a)]. 6723 (K(x,y) * z) \ (z * K(x,u)) = K(x,u) * K(y,T(x,z)). [hyper(189,a,5390,a(flip),b,6652,a)]. 6724 (x * K(y,z)) * (y * K(u,y)) = (x * K(u,y)) * T(y,z). [hyper(5292,a,6655,a)]. 6725 T(T(x,y) * z,K(x,u)) = T(x,y) * T(z,K(x,u)). [hyper(189,a,5461,a(flip),b,6662,a(flip))]. 6726 T(x,y) * T(z,K(x,y)) = (x * z) * K(x,y). [hyper(4806,a,6725,a),flip(a)]. 6727 T(x * y,K(x,z)) = x * T(y,K(x,z)). [hyper(147,a,6726,a(flip),b,4407,a)]. 6729 K(x,y) * ((y * R(x,z,u)) * x) = (x * y) * R(x,z,u). [para(1643(a,2),6692(a,1,2))]. 6730 K(x,y) * R(x,z,R(x,u,w)) = R(T(x,y),z,R(x,u,w)). [hyper(189,a,45,a,b,6695,a)]. 6731 K(x,y) * R(x,z,L(x,u,w)) != v5 | R(T(x,y),z,L(x,u,w)) = v5. [para(6700(a,2),5484(a,1))]. 6732 ((x * y) / x) / ((x * (y * K(z,y))) / x) = K(y,T(z,x)). [para(6720(a,1),3905(a,1,2))]. 6733 ((x * y) / x) / ((x * (y * K(z,y))) / x) != u | K(y,T(z,x)) = u. [para(6720(a,1),3910(a,1,2))]. 6734 (x * K(y,x)) * K(T(z,y),x) = (y * (x * K(z,x))) / y. [hyper(189,a,3964,a(flip),b,6721,a(flip)),flip(a)]. 6735 (x / y) * (K(y,z) * K(y * z,y)) = x / L(y,z,y). [para(4627(a,1),6722(a,2,2))]. 6736 (K(x,y) * z) \ (K(x,u) * z) = K(x,T(u,z)) * K(y,T(x,z)). [para(5345(a,1),6723(a,1,2))]. 6737 (x * K(y,z)) * (y * K(u,y)) = x * (K(u,y) * T(y,z)). [hyper(189,a,5296,a(flip),b,6724,a)]. 6738 K(x,y) * (x \ R(x,z,R(x,u,w))) = x \ R(T(x,y),z,R(x,u,w)). [hyper(75,a,6730,a(flip),b,4552,a),flip(a)]. 6739 K(x,y) * ((y * R(x,z,R(x,u,w))) * x) = (y * R(T(x,y),z,R(x,u,w))) * x. [para(6730(a,1),6478(a,1,1,2)),flip(a)]. 6740 (x * K(y,z)) * (y * K(u,y)) = x * (T(y,z) * K(u,y)). [para(2759(a,2),6737(a,2,2))]. 6741 L(K(x,T(T(y,z),u * z)),z,u) = (u * (K(x,y) * z)) / (u * z). [para(5345(a,1),6025(a,1,1,2)),flip(a)]. 6742 L(T(x,y),z,u) \ (x * K(L(x,z,u),y)) = L(x,z,u) \ x. [hyper(80,a,6124,a)]. 6744 x \ R(x,y * K(x,z),x) = K(x,y) * K(y * x,x). [para(6199(a,1),6180(a,2,2))]. 6745 x \ R(x,y * K(x,z),x) = x \ R(x,y,x). [hyper(189,a,4696,a(flip),b,6744,a)]. 6747 T(K(T(x,y \ 1),(1 / y) \ 1),z) = K(x,K(1 / y,z) / (1 / y)). [hyper(6275,a,6300,a(flip)),flip(a)]. 6748 K(L(x,y,L(x,z,u)),T(w,L(x,z,u) * y)) = K(x,T(w,y)). [hyper(6107,a,6288,a),flip(a)]. 6749 R(K(x,y),z * y,u) = K(T(x,z),R(T(y,z),z,u)). [hyper(189,a,5676,a(flip),b,6400,a(flip)),flip(a)]. 6750 R(K(x,y),z * y,u) != w | K(x,R(y,z,u)) = w. [para(6749(a,2),6110(a,1))]. 6751 K(R(x,y,z),y) = K(x,R(y,x,z)). [hyper(6750,a,5746,a),flip(a)]. 6752 K(R(x,y,z),y) != u | K(x,R(y,x,z)) = u. [para(5746(a,1),6750(a,1))]. 6753 R(K(x,y),z * (y * K(u,x)),w) != v5 | K(x,R(y * K(u,x),z,w)) = v5. [para(6177(a,1),6750(a,1,1))]. 6754 x * K(R(x,y,z),y) = T(x,R(y,x,z)). [para(6751(a,2),4396(a,2,2)),flip(a)]. 6755 K(T(x,y),y \ z) = K(x,z / (y * K(u,x))). [hyper(6430,a,6169,a)]. 6756 K(x,y / (z * K(u,x))) = K(x,y / z). [hyper(6111,a,6755,a),flip(a)]. 6757 K(x,y / (z * x)) = K(x,y / (x * z)). [para(95(a,1),6756(a,1,2,2))]. 6758 K(x,y / ((z * y) * x)) = K(x,z \ (x \ 1)). [hyper(189,a,5699,a(flip),b,6757,a)]. 6759 K(x,R(y / x,x,z)) = K(x,(y * z) / (z * x)). [para(111(a,2),6757(a,2,2)),flip(a)]. 6760 K(x,y / (((x \ 1) * z) * x)) = K(x,y / L(z,x \ 1,x)). [para(166(a,1),6757(a,2,2,2))]. 6761 K(x,(y / z) \ (x \ 1)) = K(x,z / (y * x)). [para(19(a,1),6758(a,1,2,2,1)),flip(a)]. 6762 K(x,R(x \ y,x,z)) = K(x,(y * z) / (z * x)). [hyper(189,a,3893,a(flip),b,6759,a(flip)),flip(a)]. 6763 K(L(x,y * z,u),(u \ (u * (x * y))) \ (x * (y * z))) = K(x,L(L(z,y,x),x * y,u)). [para(348(a,1),6618(a,2,2))]. 6764 (x * K(y,z)) * K(u,y) != w | x * (K(y,z) * K(u,y)) = w. [para(6653(a,2),6646(a,1))]. 6765 K(x,L(y,z,x)) = K(x,y). [hyper(6143,a,6690,a),flip(a)]. 6767 K(x,L(L(y,z,x),u,w)) = K(x,L(y,u,w)). [para(48(a,1),6765(a,1,2))]. 6768 K(x,(x * y) \ z) = K(x,y \ (x \ z)). [para(183(a,1),6765(a,1,2))]. 6769 T(x,L(y,z,x)) = K(x,y) * x. [para(6765(a,1),4403(a,2,1))]. 6770 K(L(x,y,z),L(u,w,x)) = L(K(x,u),y * x,z). [para(6765(a,1),5541(a,1,1)),flip(a)]. 6771 T(x,L(y,z,x)) = T(x,y). [hyper(189,a,4403,a,b,6769,a)]. 6772 T(x,(x \ y) \ z) = T(x,y \ (x * z)). [para(359(a,1),6771(a,1,2)),flip(a)]. 6773 T(x,L(y \ 1,x * y,z)) = T(x,(z * (x * y)) \ (z * x)). [para(707(a,1),6771(a,1,2)),flip(a)]. 6774 K(x,K(y,y \ x) \ (x \ z)) = K(x,(y * (x / y)) \ z). [para(3903(a,1),6768(a,1,2,1)),flip(a)]. 6775 (x * ((y / z) / x)) * z = y * K(x,z \ (x \ y)). [para(6768(a,1),5451(a,2,2))]. 6776 L(K(x,y \ (x \ 1)),z,u) = K(x,L(x * y,z,u) \ 1). [para(6768(a,1),5885(a,1,1))]. 6777 T(x,(x \ y) \ z) = T(x,y \ (z * x)). [hyper(189,a,6574,a,b,6772,a)]. 6778 K(x,y) * K(x,K(y,z \ (u * y))) = K(x,T(y,(y \ z) \ u)). [para(6777(a,2),6012(a,2,2))]. 6779 K(L(x,y,z),L(u,w,x)) = K(L(x,y,z),u). [hyper(189,a,5541,a(flip),b,6770,a)]. 6780 K(L(x,y,z),(x \ u) \ w) = K(L(x,y,z),u \ (x * w)). [para(359(a,1),6779(a,1,2)),flip(a)]. 6781 x * K(y,z \ (y \ x)) = z * (y * ((z \ x) / y)). [hyper(189,a,4185,a(flip),b,6775,a(flip))]. 6782 x * (y * ((x \ 1) / y)) = K(y,x \ (y \ 1)). [hyper(74,a,4185,a(flip),b,6775,a(flip)),flip(a)]. 6783 (x * y) * (z * (((x * y) \ x) / z)) = x * K(z,y \ (z \ 1)). [para(6782(a,1),5662(a,2,2))]. 6784 x * (y * ((x \ z) / y)) != z * u | K(y,x \ (y \ z)) = u. [para(6781(a,1),22(a,1))]. 6785 (x * (y * ((x \ z) / y))) \ z = K(x \ (y \ z),y). [para(6781(a,1),3918(a,1,1))]. 6786 ((x * (y * z)) * (u * (L(L(z \ 1,z,y),y * z,x) / u))) \ (x * y) = K((x * (y * z)) \ (u \ (x * y)),u). [para(309(a,2),6785(a,1,1,2,2,1))]. 6787 ((x * (y * ((x \ 1) / y))) * L(K(x \ (y \ 1),y),z,u)) * ((x * (y * ((x \ 1) / y))) \ w) = w * L(w \ ((x * (y * ((x \ 1) / y))) \ w),z,u). [para(6785(a,1),1239(a,1,1,2,1))]. 6788 (x * (y * ((x \ 1) / y))) / ((L(x * (y * ((x \ 1) / y)),z,u) \ 1) * (x * (y * ((x \ 1) / y)))) = L(K(x \ (y \ 1),y) \ 1,z,u). [para(6785(a,1),5738(a,2,1,1))]. 6789 K(x,K(y \ x,y) * (x \ z)) = K(x,(y * (x / y)) \ z). [para(3889(a,1),6774(a,1,2))]. 6790 K(1 / x,L((1 / x) * y,z,u) \ 1) = L(K(1 / x,y \ x),z,u). [para(69(a,1),6776(a,1,1,2,2)),flip(a)]. 6791 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(5900(a,2),6780(a,2,2,2)),flip(a)]. 6792 K(x,(y * (x / y)) \ (z * x)) = K(x,K(y \ x,y) * T(z,x)). [para(35(a,2),6789(a,1,2,2)),flip(a)]. 6793 T(x,R(x,y,z) * u) \ (x * K(L(x,u,R(x,y,z)),u)) = L(x,u,R(x,y,z)) \ x. [para(1287(a,1),6742(a,1,1))]. 6794 K(x,T(y,L(x,z,u) * w)) = K(x,T(y,w)). [hyper(189,a,6464,a(flip),b,6748,a(flip)),flip(a)]. 6796 K(x,T(y,L(x,z,u) \ w)) = K(x,T(y,w)). [para(17(a,1),6794(a,1,2,2)),flip(a)]. 6797 T(x,L(y \ 1,x * y,z)) = T(x,(z * (x * y)) \ (x * z)). [hyper(189,a,6574,a(flip),b,6773,a)]. 6798 T(x,L(y \ 1,x * y,z)) = T(x,L(y,x,z) \ 1). [hyper(189,a,5474,a(flip),b,6773,a)]. 6799 T(x,L(y \ 1,x * y,z)) != u | T(x,y \ 1) = u. [para(6798(a,2),5940(a,1))]. 6800 T(x,(y * (x * z)) \ (x * y)) = T(x,z \ 1). [hyper(6799,a,6797,a),flip(a)]. 6801 T(x,((x \ y) * (x * z)) \ y) = T(x,z \ 1). [para(17(a,1),6800(a,1,2,2))]. 6802 T(x,((x \ y) * z) \ y) = T(x,(x \ z) \ 1). [para(17(a,1),6801(a,1,2,1,2))]. 6803 T(x,((x \ y) * z) \ y) = T(x,z \ x). [hyper(189,a,5471,a(flip),b,6802,a)]. 6804 T(x,(y * z) \ (x * y)) = T(x,z \ x). [para(16(a,1),6803(a,1,2,1,1))]. 6805 T(x,(y * z) \ (y * x)) = T(x,z \ x). [hyper(189,a,6574,a,b,6804,a(flip)),flip(a)]. 6806 T(x,(y \ z) \ x) = T(x,z \ (y * x)). [para(17(a,1),6805(a,1,2,1)),flip(a)]. 6807 K(x,T(y,z \ (u * y))) = K(x,T(y,z \ u)). [para(6806(a,1),5476(a,1,2))]. 6808 K(x,T(y,(y \ z) \ u)) = K(x,T(y,z \ u)). [para(6777(a,2),6807(a,1,2))]. 6809 K(x,T(y,(y \ z) \ u)) != K(x,y) * w | K(x,K(y,z \ u)) = w. [para(6808(a,2),6020(a,1))]. 6810 K(x,K(y,z)) * (L(K(x,u),w,v5) \ K(x,K(y,z))) = L(K(x,u),w,v5) \ 1. [hyper(5990,a,5938,a)]. 6811 K(x,K(y,z)) * (K(z,u) * w) = K(z,u) * (K(x,K(y,z)) * w). [para(5969(a,2),5988(a,2,2,1))]. 6812 K(T(x,y),z \ (y * (x \ 1))) = K(x,(y * (x \ 1)) / z). [hyper(5434,a,6083,a)]. 6813 K(T(x,y),((x \ 1) * y) \ z) = K(x,z / ((x \ 1) * y)). [hyper(5434,a,6085,a)]. 6814 K(T(x,y),L(T(z,y),y,x \ 1)) = K(x,((x \ 1) * (z * y)) / ((x \ 1) * y)). [para(154(a,1),6813(a,1,2))]. 6815 x / (K(T(y,z),x) * K(x,z)) = T(x * K(z,x),y). [para(4430(a,1),6091(a,1,2,2))]. 6816 T(x * K(y,x),z) \ x = K(T(z,y),x) * K(x,y). [para(6815(a,1),69(a,1,1))]. 6818 T((x * y) / x,z) \ y = K(T(z,x),y) * K(y,x). [para(4375(a,2),6816(a,1,1,1))]. 6819 T((x * y) / x,z) \ y = K(y,x) * K(T(z,x),y). [hyper(189,a,1959,a,b,6818,a)]. 6820 K(x,y) * K(T(L(x,z,u) * y,y),x) = L(x,y,L(x,z,u)) \ x. [para(1295(a,1),6819(a,1,1)),flip(a)]. 6821 (x * K(y * z,y)) * K(y,z) = K(y * z,y) * (K(y,z) * x). [para(6356(a,1),6116(a,1,1))]. 6822 T(x * y,z) * ((y * x) \ 1) = K(x,y) * K(x * y,z). [para(4704(a,1),6125(a,1,2))]. 6823 T(((x * y) * ((y * x) \ 1)) * (y * x),z) = (K(x,y) * K(x * y,z)) * (y * x). [para(6822(a,1),4177(a,2,1))]. 6824 L(x,T(y,z) \ u,T(y,u)) = L(x,y \ (K(z,y) * u),y). [para(4551(a,1),6173(a,1,2))]. 6825 L(x,T(y,z) \ u,T(y,u)) = L(x,T(y,z) \ u,y). [para(4551(a,1),6824(a,2,2))]. 6826 T(x,y) * ((T(x,y) \ y) * z) = y * L(z,T(x,y) \ y,x). [para(6825(a,1),344(a,1,2)),flip(a)]. 6827 T(x,y) * ((x \ T(y,x)) * z) = y * L(z,T(x,y) \ y,x). [para(3529(a,1),6826(a,1,2,1))]. 6828 T(x,y) * ((x \ T(y,x)) * z) = y * L(z,x \ T(y,x),x). [para(3529(a,1),6827(a,2,2,2))]. 6829 (x * L(y,z \ T(x,z),z)) \ (x * y) = a(T(z,x),T(z,x) \ x,y). [para(6828(a,1),3558(a,1,1))]. 6830 K((T(x,y) * z) \ u,T(x,z)) = K(u / (T(x,y) * z),x). [hyper(5499,a,6191,a)]. 6831 T(x * y,y) / (T(x * y,y) / x) = x * K(y,x). [para(3403(a,1),6296(a,2,2))]. 6832 T(x * K(y,x),T(x * y,y)) = L(x,y * K(x * y,y),x). [para(6831(a,1),4665(a,1,1))]. 6833 L(x,y * K(x * y,y),x) = L(x,y,x). [hyper(189,a,6681,a(flip),b,6832,a(flip))]. 6834 L(x,R(y,x,y),x) = L(x,y,x). [hyper(189,a,4625,a(flip),b,6833,a(flip)),flip(a)]. 6835 L(x,R(T(y,y * x),x,T(y,y * x)),x) = L(x,L(y,x,y),x). [hyper(189,a,3727,a(flip),b,6834,a)]. 6836 K((x / y) \ 1,x * K(y,z)) = T(x * (y / x),z) \ T(y,z). [hyper(189,a,5782,a,b,6308,a(flip)),flip(a)]. 6837 K(x,y) * (z * T(z \ (K(x,y) \ u),y)) = z * T(z \ u,y). [hyper(189,a,323,a(flip),b,6341,a)]. 6838 T(x,T((y * z) \ y,u)) = T(x,T(z \ 1,u)). [hyper(189,a,6375,a(flip),b,6377,a)]. 6839 T(x,T((y \ z) \ 1,u)) = T(x,T(z \ y,u)). [para(17(a,1),6838(a,1,2,1,1)),flip(a)]. 6840 T(x,y \ ((z \ u) \ y)) = T(x,T(u \ z,y)). [hyper(5512,a,6839,a)]. 6841 T(x,(y * (z * K(x,u))) \ w) = T(x,(y * z) \ w). [hyper(189,a,4466,a,b,6432,a)]. 6842 T(x,(y * (z * x)) \ u) = T(x,(y * (x * z)) \ u). [para(95(a,1),6841(a,1,2,1,2)),flip(a)]. 6843 T(K(x,y) * z,K(y,u)) = K(x,y) * T(z,K(y,u)). [hyper(189,a,6136,a(flip),b,6567,a(flip))]. 6844 T(x * K(y,z),K(y,u)) = T(x,K(y,u)) * K(y,z). [hyper(4992,a,6843,a),flip(a)]. 6845 T(x * K(y,z * x),K(y,z)) = K(y,z * x) * x. [hyper(189,a,6668,a(flip),b,6844,a)]. 6846 T(x * K(y,z),K(y,u)) \ T(x,K(y,u)) = K(z,y). [para(6844(a,2),3918(a,1,1))]. 6848 (x * K(y,z * x)) / T(T(K(y,z),x * K(y,z * x)),x * K(y,z * x)) = (K(y,z * x) * x) / T(K(y,z),x * K(y,z * x)). [para(6845(a,1),3547(a,1,1)),flip(a)]. 6849 T(K(x,K(y,z)) * u,K(y,w)) = K(x,K(y,z)) * T(u,K(y,w)). [para(5969(a,1),6577(a,1,1,1))]. 6850 K(x,y) * T(z,z \ T(x,y)) = T(K(x,y) * z,z \ x). [hyper(5189,a,6678,a)]. 6851 K(x,y) * T(K(y,x) * z,z \ y) = T(z,z \ T(y,x)). [hyper(3907,a,6850,a)]. 6852 T((T(x,y) \ 1) * x,T(x,z)) = (T(x,y) \ 1) * x. [para(6718(a,1),6719(a,1,1))]. 6853 K(x,(y * z) \ (x \ y)) = K(x,z \ (x \ 1)). [hyper(6784,a,6783,a)]. 6854 K(x,(y \ z) \ (x \ 1)) = K(x,z \ (x \ y)). [para(17(a,1),6853(a,1,2,1)),flip(a)]. 6855 K((x * y) \ (z \ x),z) = (u * K(z,y \ (z \ 1))) \ u. [para(6853(a,1),3918(a,1,1,2)),flip(a)]. 6856 K(1 / x,y \ ((1 / x) \ z)) = K(1 / x,(z \ y) \ x). [para(69(a,1),6854(a,1,2,2)),flip(a)]. 6857 K(x,(y / (y / z)) \ (x \ ((z \ y) * z))) = K(x,(y \ z) \ (x \ 1)). [para(4326(a,1),6854(a,1,2,1)),flip(a)]. 6858 K(L(x,y,z) \ 1,(u \ w) \ ((x \ 1) \ 1)) = L(K(x \ 1,w \ ((x \ 1) \ u)),y,z). [para(6854(a,1),4824(a,1,1)),flip(a)]. 6859 K((x * y) \ (z \ x),z) = K(y \ (z \ 1),z). [hyper(189,a,3918,a(flip),b,6855,a)]. 6860 K((x * (y * z)) \ (u \ (x * y)),u) = K(L(z,y,x) \ (u \ 1),u). [para(102(a,1),6859(a,1,1,1))]. 6861 K(1 / x,y \ ((1 / x) \ z)) != u | K(x \ 1,(z \ y) \ x) = u. [para(6856(a,2),4254(a,1))]. 6862 K(x,(y * (x / y)) \ (z * x)) != u | K(x,K(y \ x,y) * z) = u. [para(6792(a,2),6492(a,1))]. 6863 K(x,y) * (K(z,K(u,x)) * (K(x,y) \ w)) = K(z,K(u,x)) * w. [hyper(254,a,6811,a),flip(a)]. 6864 K(x * y,x) * (K(x,y) * z) = z * (K(x,y) * K(x * y,x)). [hyper(6646,a,6821,a),flip(a)]. 6865 L(x,L(y,x,y),x) = L(x,T(y,x),x). [para(3609(a,1),6835(a,1,2)),flip(a)]. 6866 L(x,L(y,x,y),x) = L(x,y,x). [hyper(189,a,3724,a(flip),b,6865,a)]. 6867 L(R(x,y,z),L(u,x,u),x) = R(L(x,u,x),y,z). [para(6866(a,1),47(a,1,1)),flip(a)]. 6868 L(R(x,y,z),L(u,x,u),x) = L(R(x,y,z),u,x). [hyper(189,a,47,a(flip),b,6867,a)]. 6869 K(L(R(x,y,z),L(u,x,u),x),x * L(u,x,u)) * ((x * (L(u,x,u) * R(x,y,z))) / (x * L(u,x,u))) = L(R(x,y,z),u,x). [hyper(189,a,4470,a,b,6868,a(flip)),flip(a)]. 6870 K((x / y) \ 1,x * K(y,z)) = K(x \ T(y,z),x). [hyper(189,a,4182,a(flip),b,6836,a)]. 6871 K(x \ y,K(y,z) * x) = K(x \ T(y,z),x). [hyper(189,a,6372,a(flip),b,6870,a(flip)),flip(a)]. 6872 K(x \ T(y,z),x) * (K(y,z) * (x * (x \ y))) = L(x \ y,x,K(y,z)) * (K(y,z) * x). [para(6871(a,1),5537(a,1,1))]. 6873 K(x,y) * (K(z,K(x,u)) * (K(x,y) \ w)) = K(u,K(z,x)) * w. [para(5969(a,2),6863(a,1,2,1))]. 6874 L(K(x,T(y \ z,u)),y \ z,y) = K(x,T((z \ y) \ 1,u)). [hyper(189,a,6034,a(flip),b,6078,a)]. 6875 K(x,T((y \ z) \ 1,u)) = K(x,T(z \ y,u)). [hyper(189,a,5515,a(flip),b,6874,a(flip))]. 6876 K(x,T(1 / (y \ z),u)) = K(x,T(z \ y,u)). [hyper(5329,a,6875,a)]. 6878 K(x,y \ ((z \ u) \ y)) = K(x,T(u \ z,y)). [hyper(189,a,5367,a(flip),b,6875,a(flip)),flip(a)]. 6879 K(R(x,y,R(T(x,y),z,u)),T(w,y)) = K(x,T(w,R(x,z,u) * y)). [hyper(6107,a,6088,a),flip(a)]. 6880 K(x \ y,T(z,y)) = K((K(z,u) * y) / x,z). [hyper(6273,a,6541,a),flip(a)]. 6881 K((K(x,y) * z) / u,x) = K(z / u,x). [hyper(6100,a,6880,a),flip(a)]. 6882 K((x * K(y,z)) / u,z) = K(x / u,z). [para(6052(a,1),6881(a,1,1,1)),flip(a)]. 6883 K(x,T((K(x,y) * z) / u,w)) = ((w * x) / w) / ((w * (x * K(z / u,x))) / w). [para(6881(a,1),6732(a,1,2,1,2,2)),flip(a)]. 6884 K((x * T(y,z)) / u,z) = K((x * y) / u,z). [para(1078(a,1),6882(a,1,1,1))]. 6885 K(x,(y * T(z,x)) / u) = (w * K((y * z) / u,x)) \ w. [para(6884(a,1),3918(a,1,1,2)),flip(a)]. 6886 K(x,(y * T(z,x)) / u) != w | K(x,(y * z) / u) = w. [para(6885(a,2),3922(a,1))]. 6887 T(R(K(x,T(y,z)),z,u) \ 1,z * u) = K(((z / x) * u) \ (z * u),y) \ 1. [para(6299(a,1),5351(a,1,1)),flip(a)]. 6888 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(6302,a,6361,a)]. 6889 a(x,y * K(x,z),x) != u | a(x,y,T(x,z)) = u. [para(6303(a,1),553(a,1))]. 6890 K(x / (y * z),x / z) = K(y \ (z \ x),x / z). [hyper(189,a,3831,a(flip),b,6568,a(flip))]. 6891 K((x * y) \ z,y \ z) = K(x \ (y \ z),z / y). [hyper(6068,a,6890,a)]. 6893 (x * K(y \ (z \ u),u / z)) \ x = K(z \ u,(y * z) \ u). [para(6891(a,1),3918(a,1,1,2))]. 6894 ((x \ y) \ K(z \ (x \ y),y / x)) \ ((x \ y) \ 1) = K(x \ y,(z * x) \ y). [para(6891(a,1),4605(a,1,1,2))]. 6895 K(x / y,z \ (y \ x)) = K(y \ x,(z * y) \ x). [hyper(3922,a,6893,a)]. 6896 R(x,y / x,z) \ R(T(x,T(u,x \ y)),y / x,z) = K((y * z) / ((y / x) * z),u). [hyper(189,a,4398,a,b,6673,a(flip)),flip(a)]. 6897 K(x,K(y,z \ (u * y))) = K(x,K(y,z \ u)). [hyper(6809,a,6778,a(flip)),flip(a)]. 6898 T(x * K(T(y,z),R(u,z,R(T(u,z),w,v5))),K(T(y,z),v6)) \ T(x,K(T(y,z),v6)) = K(u,T(y,R(u,w,v5) * z)). [hyper(189,a,6846,a,b,6879,a(flip)),flip(a)]. 6899 K(x \ y,(z \ 1) \ (z \ y)) = K((z \ x) \ (z \ y),y). [para(17(a,1),5948(a,1,2)),flip(a)]. 6900 K(x \ R(y,z,u),R((w \ 1) \ (w \ y),z,u)) = K((w \ x) \ (w \ R(y,z,u)),R(y,z,u)). [para(1715(a,2),6899(a,1,2))]. 6901 T(x * K(y,x),K(x,z) * u) = T(x,u) * K(y,T(x,u)). [para(6161(a,1),6172(a,1,2,2)),flip(a)]. 6902 T(x * K(y,x),K(x,z) * u) = T(x * K(y,x),u). [hyper(189,a,4653,a(flip),b,6901,a)]. 6904 T(x * K((K(x,y) * z) * R(x,u,w),x),z) = R(x,K(x,y) * z,R(x,u,w)). [hyper(189,a,4654,a(flip),b,6902,a(flip))]. 6905 T(x,T(y,z)) * K(z \ y,z) = K(z \ y,z) * T(x,y). [hyper(189,a,6609,a(flip),b,6281,a(flip)),flip(a)]. 6906 (K(x,y) * z) * K(u,T(x,w)) = K(x,y) * (z * K(u,T(x,w))). [para(6034(a,1),6564(a,1,2,2)),flip(a)]. 6907 R(x \ y,(x \ y) \ x,x \ y) = ((y / x) \ x) \ x. [hyper(189,a,4993,a(flip),b,6583,a(flip))]. 6908 K(x,K(1 / y,z) / (1 / y)) = T(K(T(x,y \ 1),y),z). [para(69(a,1),6747(a,1,1,2)),flip(a)]. 6909 K(x,K(1 / y,z) / (1 / y)) = T(K(x,y),z). [para(5386(a,1),6908(a,2,1))]. 6910 K(x,1 / (K(y,z \ 1) / z)) = T(K(x,z),y). [para(4677(a,1),6909(a,1,2))]. 6911 K(x,y * K(y \ 1,z)) = T(K(x,y),z). [hyper(189,a,4779,a(flip),b,6910,a(flip)),flip(a)]. 6912 K(x,y * K(y \ 1,z)) != u | K(x,T(y,z)) = u. [para(6911(a,2),5490(a,1))]. 6913 K(x * y,T(y,x)) = K(y \ 1,x). [hyper(6912,a,6371,a)]. 6914 K(x \ 1,y) = K(x * y,x). [hyper(3735,a,6913,a),flip(a)]. 6915 K(x \ 1,y) != z | K(y * x,x) = z. [para(6913(a,1),5280(a,1))]. 6916 K(x * K(y \ 1,z),y) = K(x,y). [para(6913(a,1),6200(a,1,1,2))]. 6917 K(x \ 1,y / x) = K(y,x). [hyper(189,a,4619,a(flip),b,6914,a)]. 6920 K(x,y / K(x \ 1,z)) = K(x,y). [para(6914(a,2),6176(a,1,2,2))]. 6922 L(x,y,K(x \ 1,z)) = x. [para(6914(a,2),6512(a,1,3))]. 6923 K(x,y / (z * K(x \ 1,u))) = K(x,y / z). [para(6914(a,2),6756(a,1,2,2,2))]. 6925 (K(x \ 1,y) * z) * x = K(x \ 1,y) * (z * x). [para(6922(a,1),102(a,1,2))]. 6926 L(x \ 1,y,K(x,z)) = x \ 1. [para(2648(a,1),6922(a,1,3))]. 6928 (K(x,y) * (z * x)) \ (K(x,y) * z) = L(x \ 1,x,z). [para(6926(a,1),707(a,1,1)),flip(a)]. 6932 K(x / T(y,z \ 1),z) = K(x / y,z). [para(5178(a,1),6916(a,1,1))]. 6933 K(K(x,y \ 1) * z,y) = K(z,y). [para(5348(a,1),6916(a,1,1)),flip(a)]. 6934 K(T(x,y \ 1) \ z,y) = K(x \ z,y). [para(5457(a,1),6916(a,1,1))]. 6935 K(x \ 1,y / K(x,z)) = K(x \ 1,y). [para(2648(a,1),6920(a,1,2,2))]. 6936 K(K(x \ 1,y) \ z,x) = K(z,x). [para(3889(a,2),6933(a,1,1))]. 6937 K(x \ T(y,z \ 1),z) = K(x \ y,z). [para(4757(a,1),6933(a,1,1))]. 6938 (K(x \ 1,y) \ z) * K(z,x) = T(K(x \ 1,y) \ z,x). [para(6936(a,1),4396(a,2,2)),flip(a)]. 6939 K(x / (y * (z \ 1)),z) = K(x / (z \ y),z). [para(4242(a,1),6932(a,1,1,2))]. 6940 K(x \ 1,y / T(z,x)) = K(x \ 1,y / z). [para(5177(a,1),6935(a,1,2)),flip(a)]. 6941 K(x \ (y * (z \ 1)),z) = K(x \ (z \ y),z). [para(4242(a,1),6937(a,1,1,2))]. 6942 K(x,y / ((z / (x \ 1)) * u)) = K(x,y / (((x \ 1) \ z) * u)). [para(5452(a,1),6923(a,1,2,2))]. 6943 K(R(x,y,x) \ 1,z) = K(x \ 1,z). [hyper(4939,a,6925,a)]. 6945 K(x \ 1,R(y,z,x)) = K(x \ 1,y). [hyper(189,a,5685,a(flip),b,6943,a(flip)),flip(a)]. 6946 K(x \ 1,(y * x) / (z * x)) = K(x \ 1,y / z). [para(111(a,1),6945(a,1,2))]. 6947 (K(x,y \ 1) * z) * K(z,y) = T(K(y \ 1,x) \ z,y). [para(3889(a,1),6938(a,1,1))]. 6948 T(K(x \ 1,y) \ z,x) = K(y,x \ 1) * T(z,x). [hyper(5189,a,6947,a),flip(a)]. 6949 T(K(x,y \ 1) * z,y) = K(x,y \ 1) * T(z,y). [para(3889(a,1),6948(a,1,1))]. 6950 T(x * K(y \ 1,z),y) = T(x,y) * K(y \ 1,z). [hyper(4992,a,6949,a),flip(a)]. 6952 T((x / y) * K(y \ 1,z),y) = (y \ x) * K(y \ 1,z). [para(115(a,1),6950(a,2,1))]. 6953 x \ (y * K(x \ 1,z)) = (x \ y) * K(x \ 1,z). [hyper(4966,a,6952,a)]. 6954 x * ((x \ y) * K(x \ 1,z)) = y * K(x \ 1,z). [para(6953(a,1),17(a,1,2))]. 6955 (x * y) * K(x \ 1,z) = x * (y * K(x \ 1,z)). [para(16(a,1),6954(a,1,2,1)),flip(a)]. 6956 K(L(x,y,x) \ 1,z) = K(x \ 1,z). [hyper(4941,a,6955,a)]. 6957 R(x,y,K(x \ 1,z)) = x. [hyper(376,a,6955,a)]. 6958 K(x \ 1,(x \ y) \ z) = K(x \ 1,y \ (x * z)). [hyper(20,a,5926,a,b,6955,a)]. 6961 R(x \ 1,y,K(x,z)) = x \ 1. [para(2648(a,1),6957(a,1,3))]. 6962 R(x,y,K(z,x)) = x. [para(6917(a,1),6957(a,1,3))]. 6965 (T(x,y) * z) * K(u,x) = T(x,y) * (z * K(u,x)). [para(6962(a,1),380(a,1,1,1)),flip(a)]. 6966 R(x,y,K(z,T(x,u))) = x. [para(5337(a,1),6962(a,1,3))]. 6967 (L(x,y,z) * u) * K(w,T(x,v5)) = L(x,y,z) * (u * K(w,T(x,v5))). [para(6966(a,1),381(a,1,1,1)),flip(a)]. 6968 ((x \ 1) * y) * K(x,z) = (x \ 1) * (y * K(x,z)). [para(6961(a,1),110(a,1,1)),flip(a)]. 6969 K(x,L(y,z,y) \ 1) = (u * K(y \ 1,x)) \ u. [para(6956(a,1),3918(a,1,1,2)),flip(a)]. 6970 K(x,L(y,z,y) \ 1) = K(x,y \ 1). [hyper(189,a,3918,a(flip),b,6969,a)]. 6972 K(x,L(1 / y,z,1 / y) \ 1) = K(x,(y \ ((1 / y) \ 1)) * T(y,1)). [para(3616(a,2),6970(a,2,2))]. 6974 L(K(x \ 1,y \ (x * (z \ u))),z \ u,z) = K(x \ 1,(z * (x \ y)) \ u). [para(6958(a,1),5914(a,1,1))]. 6975 L(K(x,y),z,T(y,u)) = K(x,y). [hyper(5798,a,6965,a)]. 6976 K(L(x,y,T(z,u)),z) = K(x,z). [hyper(189,a,6613,a(flip),b,6975,a(flip)),flip(a)]. 6977 K((T(x,y) * z) \ u,x) = K(z \ (T(x,y) \ u),x). [hyper(189,a,5528,a(flip),b,6975,a(flip)),flip(a)]. 6980 K(L(x,y,z),z) = K(x,z). [para(112(a,1),6976(a,1,1,3))]. 6981 K((x * ((T(y,z) * x) \ u)) / x,y) = K((T(y,z) \ u) / x,y). [para(675(a,1),6976(a,1,1))]. 6982 K((x * y) \ z,x) = K(y \ (x \ z),x). [para(183(a,1),6980(a,1,1))]. 6983 K(R(x,y,z),L(u,w,x)) = R(x * K(u,x),y,z) \ R(x,y,z). [para(6980(a,1),4743(a,1,1,1,2)),flip(a)]. 6984 K(x,T(y,L(z,u,x))) = K(x * K(z,x),y). [para(6980(a,1),6046(a,1,1,2)),flip(a)]. 6985 K((x \ y) \ (x \ z),x) = K(y \ z,x). [para(17(a,1),6982(a,1,1,1)),flip(a)]. 6986 K(T(x * K(y \ (x \ (z * x)),x),x),u) = K(x,T(u,T(z \ (x * y),x) \ x)). [para(6982(a,1),6660(a,1,1,1,2))]. 6987 K((x \ y) \ z,x) = K(y \ (z * x),x). [hyper(6278,a,6985,a)]. 6988 K(x \ (y * z),z) != u | K((z \ x) \ y,z) = u. [para(6985(a,1),6278(a,1))]. 6989 K((x / y) \ z,y) = K(x \ (z * y),y). [hyper(6235,a,6987,a)]. 6990 K((x * y) \ (z * y),y) = K(x \ z,y). [para(18(a,1),6989(a,1,1,1)),flip(a)]. 6991 K((x * y) \ z,y) = K(x \ (y \ z),y). [hyper(189,a,6532,a(flip),b,6990,a(flip)),flip(a)]. 6992 (x * K(y \ (z \ u),z)) \ x = K(z,(y * z) \ u). [para(6991(a,1),3918(a,1,1,2))]. 6993 (x * y) * T((x * y) \ z,y) = z * K(x \ (y \ z),y). [para(6991(a,1),5160(a,2,2))]. 6994 K((x * y) \ (z * y),y) != u | K(x \ z,y) = u. [para(6991(a,2),6278(a,1))]. 6995 K(x,T(y,L(z,u,x))) = K(x,T(y,z)). [hyper(189,a,6046,a(flip),b,6984,a)]. 6996 K(x,T(x * y,y * z)) = K(x,T(x * y,z)). [hyper(189,a,5591,a(flip),b,6995,a(flip)),flip(a)]. 6997 K(x,T(y,(x \ z) \ u)) = K(x,T(y,z \ (x * u))). [para(359(a,1),6995(a,1,2,2)),flip(a)]. 6999 K(x,T(x * y,y \ z)) = K(x,T(x * y,z)). [para(17(a,1),6996(a,1,2,2)),flip(a)]. 7000 K(x / y,T((x / y) * y,z)) = K(x / y,T(x,y \ z)). [para(19(a,1),6999(a,1,2,1)),flip(a)]. 7001 K(x \ (y * (z \ x)),z \ x) != u | K(z \ y,z \ x) = u. [para(17(a,1),6994(a,1,1,1))]. 7002 K(x,L(y,z,x \ 1)) = K(x,y). [hyper(20,a,6690,a,b,6968,a),flip(a)]. 7003 K(x,L((1 / x) * y,z,u)) = K(x,L(x \ y,z,u)). [para(2383(a,1),7002(a,1,2))]. 7004 K((T(x,y) * z) \ u,x) = K(z \ (x \ u),x). [hyper(189,a,6536,a(flip),b,6977,a)]. 7007 K(x,(y * x) \ z) != u | K(x,y \ (x \ z)) = u. [para(6992(a,1),3922(a,1))]. 7008 K(x,L(x \ y,x,z)) != u | K(x,z \ (x \ (z * y))) = u. [para(104(a,2),7007(a,1,2))]. 7009 K(x,L(x \ ((x \ 1) \ y),z,u)) = K(x,L(K(x,x \ 1) * y,z,u)). [para(2427(a,1),7003(a,1,2,1)),flip(a)]. 7010 ((x \ (y / z)) * x) * z = y * K(z \ (x \ y),x). [hyper(189,a,4199,a(flip),b,6993,a(flip)),flip(a)]. 7011 (x * y) * K(y \ (z \ (x * y)),z) = ((z \ x) * z) * y. [para(18(a,1),7010(a,1,1,1,2)),flip(a)]. 7012 K(x / y,T((x / y) * y,z)) = K(y \ x,T(x,y \ z)). [hyper(189,a,4844,a(flip),b,7000,a)]. 7013 K(x,L(x \ y,x,z)) = K(x,z \ (x \ (z * y))). [hyper(7008,a,xx),flip(a)]. 7014 K(x,L(x \ (y \ z),x,z / (z / y))) = K(x,(z / (z / y)) \ (x \ ((y \ z) * y))). [para(3588(a,1),7013(a,2,2,2,2))]. 7015 K(x,y / (((x \ z) * x) * u)) = K(x,y / (z * u)). [para(7011(a,1),6756(a,1,2,2))]. 7016 K(x,y / ((z * x) * u)) = K(x,y / ((x * z) * u)). [para(16(a,1),7015(a,1,2,2,1,1))]. 7017 K(x \ y,T(y,x \ z)) = K(y / x,T(y,z)). [para(19(a,1),7012(a,1,2,1)),flip(a)]. 7018 K(x \ y,T(y,x \ z)) = K(x \ y,T(y,z)). [hyper(189,a,4844,a(flip),b,7017,a)]. 7019 K(x \ ((y \ x) * z),z) = K(y \ z,T(z,x)). [hyper(189,a,6555,a,b,7018,a(flip)),flip(a)]. 7020 K(x \ (y \ z),T(y \ z,z)) = K(y \ (x \ z),y \ z). [hyper(7001,a,7019,a),flip(a)]. 7021 K(x \ (y \ z),x \ z) = K(y \ (x \ z),z / x). [hyper(6277,a,7020,a),flip(a)]. 7022 (x \ y) \ K(z \ (x \ y),y / x) = T(x \ y,x \ (z \ y)) \ 1. [hyper(75,a,7021,a(flip),b,4358,a(flip))]. 7023 K((T(x,y) * z) \ u,T(x,z)) = K((T(x,y) \ u) / z,x). [hyper(6038,a,6981,a)]. 7024 K((T(x,y) \ z) / u,x) = K(z / (T(x,y) * u),x). [hyper(189,a,6830,a(flip),b,7023,a(flip))]. 7025 K(R(x,y,z),L(u,w,x)) != v5 | K(R(x,y,z),u) = v5. [para(6983(a,2),4886(a,1))]. 7026 K(1 / x,L((1 / x) * y,z,u) \ 1) != w | K(L(x,z,u) \ 1,y \ x) = w. [para(6790(a,2),4835(a,1))]. 7027 K(x,(y / (y / z)) \ (x \ ((z \ y) * z))) = K(x,z \ (x \ y)). [hyper(189,a,6854,a(flip),b,6857,a)]. 7028 L(K(x,T(y,z)),u,L(y,w,v5)) = K(x,T(y,z)). [hyper(5798,a,6967,a)]. 7029 K(x,T(y,L(y,z,u) * w)) = K(x,T(y,w)). [hyper(5937,a,7028,a)]. 7030 L(K(x,T(y,z)),u,y) = K(x,T(y,z)). [para(262(a,1),7028(a,1,3))]. 7031 K((x * y) \ z,T(x,u)) = K(y \ (x \ z),T(x,u)). [hyper(189,a,5528,a(flip),b,7030,a(flip)),flip(a)]. 7032 K((x \ y) \ z,T(x,u)) = K(y \ (x * z),T(x,u)). [hyper(189,a,5527,a(flip),b,7030,a(flip))]. 7033 K(x * L(y,z,u),T(y,x)) = K(x * L(y,z,u),y). [hyper(6104,a,7029,a),flip(a)]. 7034 K(L(x,y,z) * u,T(x,u)) = K(L(x,y,z) * u,x). [hyper(3885,a,7029,a),flip(a)]. 7035 L(K(x \ (y \ 1),T(y,z)),u,w) = K(L(y * x,u,w) \ 1,T(y,z)). [para(7031(a,1),4824(a,1,1))]. 7036 K(x \ (y * z),T(y,z)) = K(z / (y \ x),y). [hyper(6100,a,7032,a),flip(a)]. 7037 K(x / (y \ z),y) = K((z / x) \ y,y). [hyper(6294,a,7036,a),flip(a)]. 7039 T(x,y) * K(y * L(x,z,u),x) = R(x,y,L(x,z,u)). [para(7033(a,1),5048(a,1,2))]. 7040 K(T(L(x,y,z) * u,u),x) = K(L(x,y,z) * u,x). [hyper(5430,a,7034,a)]. 7041 K(x,y) * K(L(x,z,u) * y,x) = L(x,y,L(x,z,u)) \ x. [para(7040(a,1),6820(a,1,2))]. 7042 K(x * L(y,z,u),y) * K(y,x) = y \ R(y,x,L(y,z,u)). [hyper(75,a,7039,a(flip),b,4545,a),flip(a)]. 7043 K(x,y) * K(y * L(x,z,u),x) = x \ R(x,y,L(x,z,u)). [hyper(75,a,7039,a(flip),b,4376,a),flip(a)]. 7044 x \ R(x,y,L(x,z,u)) != w | K(x,y) * K(y * L(x,z,u),x) = w. [para(7042(a,1),1960(a,1))]. 7045 K(x * L(y,z,u),T(y,x)) * K(y,x) = y \ R(y,x,L(y,z,u)). [para(7033(a,2),7042(a,1,1))]. 7046 (1 / (x \ y)) \ R(1 / (x \ y),z,L(1 / (x \ y),x \ y,x)) = K(z * (1 / (1 / (y \ x))),T(1 / (x \ y),z)) * K(1 / (x \ y),z). [para(2196(a,1),7045(a,1,1,1,2)),flip(a)]. 7047 K(R(x \ R(x,y,z),x,y * z),u) = K(a(x,y,z),T(u,x * (y * z))). [para(3254(a,2),6071(a,1,1))]. 7048 R(x,y,z) \ R(x * K(u,T(x,w)),y,z) = K(u,T(R(x,y,z),w)). [para(6034(a,1),6073(a,1,2,1,2))]. 7049 R(x,y,z) \ R(x * K(u,T(x,w)),y,z) = K(u,R(T(x,w),y,z)). [para(45(a,2),7048(a,2,2))]. 7050 (x * y) / (x * (y * K(z,u))) = L(T(K(u,z),x * y),y,x). [para(6560(a,1),6368(a,1,1)),flip(a)]. 7051 (x * y) / (x * (y * K(z,u))) = L(K(u,T(z,x * y)),y,x). [para(5334(a,2),7050(a,2,1))]. 7053 L(K(x,T(x * y,z * y)),y,z) = (z * y) / (z * (x \ T(x * y,x))). [para(5198(a,2),7051(a,1,2,2)),flip(a)]. 7054 L(K(x,T(T(y,z),u * z)),z,u) = (u * z) / (u * (K(y,x) * z)). [para(5370(a,1),7051(a,1,2,2)),flip(a)]. 7055 K(R(x \ y,z,u),T(y,x)) = K(R(x \ y,z,u),y). [hyper(4514,a,6397,a),flip(a)]. 7056 K(R(x / y,z,u),x) = K(R(y \ x,z,u),x). [hyper(6112,a,7055,a)]. 7057 K(R(((T(x,y) * y) / x) \ (T(x,y) * y),z,u),T(x,y) * y) = K(R(x * K(y,x),z,u),T(x,y) * y). [para(4955(a,1),7056(a,1,1,1)),flip(a)]. 7058 K(L(x,y,z),u \ (w * x)) != v5 | K(L(x,y,z),u \ (x * w)) = v5. [para(6575(a,1),4513(a,1))]. 7059 (x * y) \ ((x * (y * K(z,u))) * K(u,w)) = K(u,w) * L(K(z,u),y,x). [hyper(189,a,1963,a(flip),b,6633,a)]. 7060 (K(x,y) * K(z,x)) \ 1 = K(y,x) * K(x,z). [hyper(3714,a,6649,a),flip(a)]. 7061 K(x,L(1 / y,z,y \ 1) \ 1) = K(x,(y \ ((1 / y) \ 1)) * T(y,1)). [para(3179(a,1),6972(a,1,2,1))]. 7062 K(a(x,y,z),T(x,x * (y * z))) != u | K(x \ R(x,y,z),R(x,x \ R(x,y,z),y * z)) = u. [para(7047(a,1),6752(a,1))]. 7063 a(x,y * K(z,u),K(u,z)) = K(u,z) * L(K(z,u),y,x). [hyper(3935,a,7059,a)]. 7064 K(x,y) * L(K(y,x),z * K(x,y),u) = a(u,z,K(x,y)). [para(3919(a,1),7063(a,1,2)),flip(a)]. 7065 K(x,y) * L(K(y,x),z,u) = a(u,z,K(x,y)). [para(6611(a,1),7064(a,1,2))]. 7066 L(K(x,y),z,u) * K(y,x) = a(u,z,K(y,x)). [hyper(1961,a,7065,a)]. 7067 L(K(x,y),z,u) \ K(x,y) = a(u,z,K(x,y)). [hyper(189,a,5911,a,b,7065,a(flip)),flip(a)]. 7070 L(K(x,y),z,y \ 1) = K(x,(y \ ((1 / y) \ 1)) * T(y,1)). [hyper(189,a,5886,a(flip),b,7061,a(flip)),flip(a)]. 7071 L(K(x,y),z,y \ 1) = K(x,(y \ y) * T(y,1)). [para(69(a,1),7070(a,2,2,1,2))]. 7072 L(K(x,y),z,y \ 1) = K(x,1 * T(y,1)). [para(59(a,1),7071(a,2,2,1))]. 7074 L(K(x,y),z,y \ 1) = K(x,1 * y). [para(188(a,1),7072(a,2,2,2))]. 7075 L(K(x,y),z,y \ 1) = K(x,y). [para(14(a,1),7074(a,2,2))]. 7078 K(((x \ 1) * y) \ (z * (x \ 1)),x) = K(y \ T(z,x \ 1),x). [hyper(189,a,5530,a(flip),b,7075,a(flip)),flip(a)]. 7079 K(((x \ 1) * y) \ (x \ z),x) = K(y \ T(z,x \ 1),x). [hyper(189,a,6941,a(flip),b,7078,a(flip)),flip(a)]. 7080 K(((x \ 1) * y) \ (x \ z),x) = K(y \ z,x). [hyper(189,a,6937,a(flip),b,7079,a)]. 7081 K(((x \ 1) * y) \ z,x) = K(y \ (z * x),x). [hyper(6278,a,7080,a)]. 7082 K(T(x,y \ 1) \ (z * y),y) = K((x * (y \ 1)) \ z,y). [para(113(a,1),7081(a,1,1,1)),flip(a)]. 7083 K((x * (y \ 1)) \ z,y) = K(x \ (z * y),y). [hyper(189,a,6934,a(flip),b,7082,a(flip))]. 7084 L(K(x * y,x),y,z) = K(z \ ((z * y) * x),x). [hyper(189,a,5532,a,b,7083,a(flip)),flip(a)]. 7085 L(K(x * ((y * z) \ y),x),(y * z) \ y,z * y) = K((z * y) \ ((y * K(z,y)) * x),x). [para(1211(a,1),7084(a,2,1,2,1))]. 7086 K(x \ ((x * y) * z),z) \ K(z * y,z) = a(x,y,K(z * y,z)). [para(7084(a,1),7067(a,1,1))]. 7087 K(x,y \ ((y * z) * x)) * K(x * z,x) = a(y,z,K(x * z,x)). [hyper(3909,a,7086,a)]. 7088 L(K(x,x * y),y,z) = K(x,z \ ((z * y) * x)). [hyper(21,a,7066,a,b,7087,a),flip(a)]. 7089 L(K(x,y * x),y,z) = K(x,z \ ((z * y) * x)). [para(4576(a,2),7088(a,1,1))]. 7090 L(K(x,x * (y \ z)),y \ z,z * (y / z)) = K(x,(z * (y / z)) \ (T(z,z \ y) * x)). [para(5579(a,1),7088(a,2,2,2,1))]. 7091 L(K(L(x,y,z),y * L(x,y,z)),y,z) = K(L(x,y,z),y * x). [para(342(a,1),7089(a,2,2))]. 7092 L(K(L(x,y,z),y * L(x,y,z)),y,z) = K(x,x * y). [hyper(189,a,5546,a(flip),b,7091,a)]. 7094 K(x / y,z) * K(K(y \ x,z) * x,x) = K(T(x / (x / y),x) \ x,z). [hyper(189,a,5637,a,b,6130,a)]. 7095 K(((x * y) \ (z * y)) \ 1,T(x,z)) = K(((x * y) \ (z * y)) \ 1,x). [hyper(189,a,4752,a(flip),b,6398,a)]. 7096 K(((x * y) \ (z * y)) \ 1,T(x,z)) = K(z \ x,((x * y) \ y) \ 1). [hyper(189,a,5613,a(flip),b,7095,a)]. 7097 K((x * y) \ (z * y),T(z,x)) = K(x \ z,((z * y) \ y) \ 1). [hyper(5466,a,7096,a)]. 7098 K((x * y) \ (z * y),T(z,x)) = K(x \ z,y \ (z * y)). [hyper(189,a,5258,a(flip),b,7097,a)]. 7099 K((x * y) \ (z * y),T(z,x)) = K(x \ z,T(z,y)). [para(35(a,2),7098(a,2,2))]. 7100 K(x,(x * y) \ (T((x * y) / z,u) * x)) = K(x,T(z \ (x * y),u) / y). [hyper(189,a,5916,a(flip),b,6447,a(flip)),flip(a)]. 7101 L(x \ 1,x,K(x,y) * z) = L(x \ 1,x,z). [hyper(6498,a,6928,a)]. 7102 L(x \ 1,x,y * K(x,z)) = L(x \ 1,x,y). [para(6024(a,1),7101(a,1,3))]. 7103 L(x \ 1,T(x,y),z) = L(x \ 1,x,z). [hyper(5588,a,7102,a)]. 7106 T(x * L(x \ 1,x,y),z) = T(x,z) * ((y * T(x,z)) \ y). [para(7103(a,1),1925(a,1,1,2))]. 7109 T(x,y) * ((z * T(x,y)) \ z) = x * ((z * x) \ z). [hyper(189,a,5810,a(flip),b,7106,a(flip))]. 7112 (x * ((y * x) \ y)) \ T(x,z) = 1 / ((y * T(x,z)) \ y). [para(7109(a,1),1450(a,1,1))]. 7113 K(T(x,y),z \ (T(x,u) * (x \ w))) = K(T(x,y),z \ w). [hyper(189,a,4660,a(flip),b,6554,a)]. 7114 K(T(x,y),z \ (T(x,u) \ w)) = K(T(x,y),z \ (x \ w)). [para(978(a,1),7113(a,1,2,2)),flip(a)]. 7115 K(T(x,y),z \ (u * K(x,w))) = K(T(x,y),z \ u). [para(6059(a,1),7113(a,1,2,2))]. 7116 K(T(x,y),z \ (u * (T(x,w) \ 1))) = K(T(x,y),z \ (u * (x \ 1))). [para(5734(a,1),7115(a,1,2,2)),flip(a)]. 7117 K(T(x,y),z \ (y * (T(x,u) \ 1))) = K(x,(y * (x \ 1)) / z). [hyper(189,a,6812,a(flip),b,7116,a)]. 7118 K(T(x,y),z \ (x \ y)) = K(x,(y * (x \ 1)) / z). [para(4265(a,1),7117(a,1,2,2))]. 7119 K(x,(y * (x \ 1)) / z) = K(x,y / (z * x)). [hyper(189,a,6449,a(flip),b,7118,a(flip))]. 7120 x \ (K(y,z) * (K(u,y) * x)) = T(K(u,y),x) * T(K(y,z),x). [para(6545(a,1),6634(a,1,2)),flip(a)]. 7122 K(x,K(y,z)) * (L(K(u,x),w,v5) * K(x,K(y,z))) = L(K(x,u),w,v5) \ 1. [para(5895(a,1),6810(a,1,2))]. 7123 K(x / y,z) * K(K(y \ x,z) * x,x) = K(x / T(y,x),z). [para(4901(a,1),7094(a,2,1))]. 7124 K(x / y,z) * K(x * K(y \ x,z),x) = K(x / T(y,x),z). [para(4617(a,1),7123(a,1,2))]. 7125 T(x * K(x / y,z),x) = x * K(x / T(y,x),z). [para(7124(a,1),6386(a,1,2)),flip(a)]. 7126 T(x * K(x / y,z),x) != x * u | K(x / T(y,x),z) = u. [para(7125(a,2),22(a,1))]. 7127 K(x,y \ (x \ (T((x * y) / z,u) * x))) = K(x,T(z \ (x * y),u) / y). [hyper(189,a,6768,a(flip),b,7100,a(flip)),flip(a)]. 7128 K(x,y \ T(T((x * y) / z,u),x)) = K(x,T(z \ (x * y),u) / y). [para(35(a,2),7127(a,1,2,2))]. 7129 K(x,T(y \ (x * z),u) / z) = K(x,z \ T((x * z) / y,u)). [hyper(6493,a,7128,a),flip(a)]. 7130 K(x,((y \ (x * z)) \ (x * z)) \ x) = K(x,z \ T((x * z) / y,y)). [hyper(189,a,6446,a,b,7129,a(flip)),flip(a)]. 7131 K(x,((y \ (x * z)) \ (x * z)) \ x) = K(x,z \ (y \ (x * z))). [para(115(a,1),7130(a,2,2,2))]. 7132 K(x,(x * y) \ ((z \ (x * y)) * x)) = K(x,y \ (z \ (x * y))). [hyper(189,a,5916,a(flip),b,7131,a(flip)),flip(a)]. 7133 (x \ T(K(y \ x,z) * x,x)) \ (x * K(x / y,z)) = L(x,K(y \ x,z),x). [para(6120(a,1),6131(a,1,1))]. 7134 (x * (y \ T(z * y,y))) \ (x * T(z,y)) = L(K(y,y * z),T(z,y),x). [para(113(a,1),6192(a,1,1,2,2,1))]. 7135 (x * (y \ T(z * y,y))) \ (x * T(z,y)) = L(K(y,y * z),z,x). [hyper(189,a,6612,a(flip),b,7134,a)]. 7136 T(x * K(y * R(x,z,u),x),y) = R(x,T(y,T(x,w)),R(x,z,u)). [hyper(189,a,5427,a(flip),b,6245,a(flip)),flip(a)]. 7138 R(x,T(y,T(x,z)),R(x,u,w)) = R(x,y,R(x,u,w)). [hyper(189,a,4654,a(flip),b,7136,a(flip))]. 7139 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(6092(a,1),7138(a,1,2))]. 7140 K(L(x,y,z),u * (K(x,w) * v5)) = K(L(x,y,z),u * v5). [hyper(189,a,4739,a(flip),b,6252,a)]. 7141 K(L(x,y,z),K(u,x) * w) = K(L(x,y,z),w). [para(3887(a,1),7140(a,1,2)),flip(a)]. 7142 K(L(x,y,z),L(K(u,x),w,v5) * v6) = K(L(x,y,z),v6). [para(4829(a,1),7141(a,1,2,1))]. 7143 K(x * (K(y,z) * u),R(y,w,v5)) = K(x * u,R(y,w,v5)). [hyper(189,a,4741,a(flip),b,6253,a)]. 7144 K(K(x,y) * z,R(y,u,w)) = K(z,R(y,u,w)). [para(3887(a,1),7143(a,1,1)),flip(a)]. 7145 K(K(x,y) * z,R(x,u,w)) = K(z,R(x,u,w)). [para(3887(a,1),7144(a,1,1)),flip(a)]. 7146 K(R(T(x,T(y,z)),u,w),R(z,y,z)) = K(R(x,u,w),z * K(y * z,z)). [para(4600(a,1),6380(a,1,2)),flip(a)]. 7147 K(R(T(x,T(y,z)),u,w),R(z,y,z)) = K(T(R(x,u,w),y * z),z). [hyper(189,a,6047,a(flip),b,7146,a)]. 7148 K(R(T(x,T(y,z)),u,w),R(z,y,z)) = K(R(T(x,y * z),u,w),z). [para(45(a,2),7147(a,2,1))]. 7149 K(R(T(x,T(y,z)),u,w),z) = K(R(T(x,y * z),u,w),z). [hyper(6480,a,7148,a)]. 7151 K(R(T(x,y * z),u,w),z) = K(R(T(x,y),u,w),z). [hyper(189,a,6401,a(flip),b,7149,a(flip))]. 7152 K(R(T(x,y * z),u,w),y) = K(R(T(x,z),u,w),y). [hyper(189,a,6661,a(flip),b,7151,a(flip)),flip(a)]. 7153 K((x * y) \ ((x * z) * y),x) = K(R(T(z,y),x,y),x). [hyper(3942,a,7152,a)]. 7154 T(T(T(x,y),z) * T(y,x),T(T(x,y),z)) = R(T(x,z),y,x) * T(y,x). [hyper(189,a,3538,a(flip),b,6439,a)]. 7155 K(x,((x \ 1) * (y * z)) / ((x \ 1) * z)) != u | K(x,L(y,z,x \ 1)) = u. [para(6814(a,1),6109(a,1))]. 7156 T(R(K(x,T(y,z)),z,u) \ 1,z * u) = K(y,((z / x) * u) \ (z * u)). [hyper(189,a,3871,a(flip),b,6887,a)]. 7157 T(R(K(T(x,y),z),y,u) * 1,y * u) = K(x,((y / z) * u) \ (y * u)). [para(5672(a,1),7156(a,1,1))]. 7158 T(R(K(x,T(y,z)),z,u) * 1,z * u) = K(x,((z / y) * u) \ (z * u)). [para(5380(a,1),7157(a,1,1,1,1))]. 7159 T(R(K(x,T(y,z)),z,u),z * u) = K(x,((z / y) * u) \ (z * u)). [para(15(a,1),7158(a,1,1))]. 7160 R(T(K(x,T(y,z)),z * u),z,u) = K(x,((z / y) * u) \ (z * u)). [hyper(5484,a,7159,a)]. 7161 K(x,((y / z) * u) \ (y * u)) = (y * u) \ ((y * K(x,z)) * u). [hyper(6058,a,7160,a),flip(a)]. 7162 K(((x / y) * z) \ (x * z),u) = K(y,((x / u) * z) \ (x * z)). [hyper(189,a,5608,a,b,7161,a),flip(a)]. 7163 T(x * K(y * R(x,z,u),x),y) = R(x,K(x,w) * y,R(x,z,u)). [para(6232(a,1),6904(a,1,1,2))]. 7164 R(x,K(x,y) * z,R(x,u,w)) = R(x,z,R(x,u,w)). [hyper(189,a,4654,a(flip),b,7163,a(flip))]. 7166 ((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(7164(a,1),5813(a,2,2,2,1,1))]. 7167 K(L(x,y \ z,y) \ 1,u \ (x * (y \ z))) = K(x \ 1,(y * (x \ u)) \ z). [hyper(4894,a,6974,a)]. 7168 K(x,y) * ((x \ 1) \ K(y,z)) = T((x \ 1) \ K(y,z),y). [para(17(a,1),6345(a,1,1)),flip(a)]. 7170 (x \ 1) * ((K(y,z) \ u) * T((K(y,z) \ u) \ ((x \ 1) \ u),y)) = ((x \ 1) * (K(x,y) * ((x \ 1) \ K(y,z)))) * (K(y,z) \ u). [para(7168(a,2),1159(a,2,1,2))]. 7171 K(L(x,y,z),u \ L(K(x,w),v5,v6)) = K(L(x,y,z),u \ 1). [hyper(189,a,4738,a(flip),b,6418,a)]. 7173 K(x \ y,x) * ((z / (x \ y)) * (x \ y)) = T(z / (y / x),K(y,x)) * (x \ y). [para(6118(a,1),6499(a,2,1))]. 7174 K(x * (y / (y / z)),T(z,x)) = K((y / (y / z)) * x,z). [para(3586(a,1),6586(a,1,2))]. 7175 K(x * (y / (y / z)),T(z,x)) = K(z * x,z). [hyper(189,a,6250,a(flip),b,7174,a)]. 7178 K(x * (y / (y / z)),T(z,x)) = K(x * z,z). [hyper(189,a,4617,a,b,7175,a)]. 7180 K(x,y) * ((y * R(x,z,R(x,u,w))) * x) = (R(x,z,R(x,u,w)) * y) * x. [para(160(a,1),6739(a,2,1))]. 7181 (R(x,y,R(x,z,u)) * w) * x = (x * w) * R(x,y,R(x,z,u)). [hyper(189,a,6729,a(flip),b,7180,a(flip))]. 7182 (K(x,y) * K(x * y,z)) * (y * x) = T(K(x,y) * (y * x),z). [para(4703(a,2),6823(a,1,1,1)),flip(a)]. 7183 (K(x,y) * K(x * y,z)) * (y * x) = T(x * y,z). [para(4373(a,1),7182(a,2,1))]. 7184 (x * y) \ T(y * x,z) = K(y,x) * K(y * x,z). [hyper(21,a,4950,a,b,7183,a),flip(a)]. 7185 K(x,T((K(x,y) * z) / u,w)) != v5 | K(x,T(z / u,w)) = v5. [para(6883(a,2),6733(a,1))]. 7186 (T(x \ y,x \ (z \ y)) \ 1) \ ((x \ y) \ 1) = K(x \ y,(z * x) \ y). [para(7022(a,1),6894(a,1,1))]. 7187 K(x \ y,(z * x) \ y) = K(x \ y,x \ (z \ y)). [hyper(4537,a,7186,a),flip(a)]. 7189 K(x,T(y,T(z \ (x * u),x) \ x)) = K(T(x * K(u \ z,x),x),y). [para(6363(a,1),6986(a,1,1,1,2)),flip(a)]. 7190 K(x,T(y,T(z \ (x * u),x) \ x)) = K(x * K(u \ z,x),y). [para(1497(a,1),7189(a,2,1))]. 7191 K(x,T(y,T(z \ (x * u),x) \ x)) != w | K(x,T(y,u \ z)) = w. [para(7190(a,2),6267(a,1))]. 7192 T(x / (y / z),K(y,z)) * (z \ y) = K(z \ y,z) * x. [para(19(a,1),7173(a,1,2)),flip(a)]. 7193 T((x / (y / z)) * (z \ y),K(y,z)) = K(z \ y,z) * x. [hyper(189,a,6717,a,b,7192,a(flip)),flip(a)]. 7195 T(x * K(y \ z,y),K(z,y)) = K(y \ z,y) * x. [para(5463(a,1),7193(a,1,1))]. 7196 T(x * (y * K(z \ x,z)),K(x,z)) = x * (K(z \ x,z) * y). [para(7195(a,1),6727(a,2,2))]. 7197 T(x,R(x,y,z) * u) \ (x * K(x,u)) = L(x,u,R(x,y,z)) \ x. [para(6588(a,1),6793(a,1,2,2))]. 7198 K(R(x,y,z) * u,x) * K(x,u) = L(x,u,R(x,y,z)) \ x. [hyper(4587,a,7197,a)]. 7200 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(45(a,2),6888(a,1,1,2))]. 7201 K(x,L(x \ (y \ z),x,z / (z / y))) = K(x,y \ (x \ z)). [hyper(189,a,7027,a(flip),b,7014,a)]. 7202 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(6118(a,1),7200(a,1,2))]. 7203 T((x * (y * K(T(z,u),y))) / x,u) = K(z,y * K(x,y)) * T(y * K(x,y),u). [para(6734(a,1),6293(a,1,1))]. 7204 K(x,y * K(z,y)) * T(y * K(z,y),u) = (z * (K(x,y) * T(y,u))) / z. [hyper(189,a,6291,a(flip),b,7203,a(flip))]. 7205 K(T(x,y),z) * T(z * K(y,z),u) = (y * (K(x,z) * T(z,u))) / y. [para(6047(a,1),7204(a,1,1))]. 7206 K(T(x,y),z) * T((y * z) / y,u) = (y * (K(x,z) * T(z,u))) / y. [para(4375(a,2),7205(a,1,2,1))]. 7207 (x * (T(y,z) * K(u,T(y,T(u,w))))) / x = K(T(u,x),y) * T((x * y) / x,z). [para(5352(a,2),7206(a,2,1,2)),flip(a)]. 7208 (x * (T(y,T(z,x)) * K(z,T(y,T(z,u))))) / x = y * K(x,T(y,T(z,x))). [hyper(189,a,4735,a(flip),b,7207,a)]. 7209 (x * (T(y,T(z,x)) * K(z,T(y,T(z,u))))) / x = y * K(x,T(y,z)). [para(6327(a,1),7208(a,2,2))]. 7210 (x * (T(y,T(z,x)) * K(z,y))) / x = y * K(x,T(y,z)). [para(5341(a,1),7209(a,1,1,2,2))]. 7211 (T(x,y) * T(y,T(x,z))) / x = y * K(x,T(y,z)). [para(6683(a,1),7210(a,1,1))]. 7212 T(T(x,y),y) * T(y,T(x,z)) = x * (y * K(x,T(y,z))). [para(7211(a,1),5850(a,2,2))]. 7213 T(T(x,y),y) * T(y,T(x,z)) = T(x,T(y,z)) * y. [hyper(189,a,6127,a(flip),b,7212,a)]. 7214 (T(x,T(y,z)) * y) / K(x,y) = T(x,y) * T(y,T(x,z)). [para(7213(a,1),5832(a,1,1))]. 7215 T(x,y) * T(y,T(x,z)) = y * T(x,T(y,z)). [hyper(189,a,5408,a(flip),b,7214,a(flip))]. 7216 x * T(y * K(x,y),T(x,z)) = y * T(x,T(y,z)). [hyper(189,a,5377,a,b,7215,a(flip)),flip(a)]. 7217 T(x * K(y,T(x,z)),y) = T(x * K(y,x),T(y,z)). [hyper(147,a,5132,a,b,7216,a)]. 7218 x * T(y,T(x,z)) = y * T(x,K(y,z)). [para(6322(a,1),7216(a,1,2)),flip(a)]. 7219 x \ T(y * x,K(y,z)) = T(y,T(x,z)). [hyper(75,a,6727,a,b,7218,a)]. 7220 x \ T(y * x,K(y,z)) = T(T(y,x),K(x,z)). [hyper(189,a,6323,a,b,7219,a)]. 7221 x \ T(y * x,K(y,z)) != u | T(y,T(x,z)) = u. [para(7220(a,2),6331(a,1))]. 7222 T(x * K(y \ z,x),T(y \ z,z)) = T(x * K(z / y,x),y \ z). [para(6029(a,1),7217(a,1,1,2)),flip(a)]. 7223 T(x * K(y \ z,x),T(y \ z,y)) = T(x * K(z / y,x),y \ z). [para(6033(a,1),7217(a,1,1,2)),flip(a)]. 7224 T(x * K(y / z,x),z \ y) = T(x,K(z \ y,y)). [hyper(6325,a,7222,a),flip(a)]. 7225 T(x * K(y / z,x),z \ y) = T(x * K(z,x),T(z,y)). [hyper(189,a,6708,a(flip),b,7223,a(flip))]. 7226 T(x * K(y \ z,x),T(y \ z,z)) = T(x * K(y,x),T(y,z)). [hyper(189,a,7222,a,b,7225,a(flip)),flip(a)]. 7227 T(x,y * ((z * (y \ z)) / z)) = K(x,z) * T(x * K(y,x),T(y,z)). [para(7226(a,1),6684(a,1,2)),flip(a)]. 7228 T(x,y * ((z * (y \ z)) / z)) = T(x,T(z,y)). [hyper(189,a,6682,a(flip),b,7227,a)]. 7229 T(x,T(y,z \ y)) = T(x,T(y,z)). [para(3330(a,1),7228(a,1,2))]. 7230 T(x,T(y,z \ 1)) = T(x,T(y,z)). [hyper(189,a,6709,a,b,7229,a(flip)),flip(a)]. 7231 T(x,T(y,z \ 1)) = x * K(x,T(y,z)). [hyper(189,a,4396,a(flip),b,7230,a)]. 7232 T(x * y,T(z,y)) = T(x * y,T(z,x)). [hyper(189,a,6392,a(flip),b,7230,a(flip))]. 7233 T(K(x,y),z \ 1) = K(x,T(y,z)). [hyper(5372,a,7231,a)]. 7234 K(x,T(y,z \ 1)) = K(x,T(y,z)). [hyper(4436,a,7231,a)]. 7235 K(x,y) * K(x,K(y,z)) = T(K(x,y),z \ 1). [hyper(189,a,6012,a,b,7233,a),flip(a)]. 7236 K(x,T(y,z \ y)) = K(x,T(y,z)). [hyper(5497,a,7234,a)]. 7237 K(x * y,T(z,y)) = K(x * y,T(z,x)). [hyper(189,a,5423,a(flip),b,7234,a(flip)),flip(a)]. 7238 K(x,T(y,z \ x)) = K(x,T(y,z)). [hyper(189,a,5422,a(flip),b,7234,a(flip)),flip(a)]. 7239 K(x,T(y,z \ u)) = K(x,T(y,u \ z)). [para(5471(a,1),7234(a,1,2))]. 7240 K((x \ y) / z,T(y,x)) = K(z \ (x \ y),y). [hyper(6106,a,7236,a),flip(a)]. 7241 T(T(x,y) * z,T(x,z)) = T(T(x,y) * z,x). [para(171(a,1),7232(a,2,2))]. 7242 T(x * L(L(y,z,u),w,v5),T(y,x)) = T(x * L(L(y,z,u),w,v5),y). [para(750(a,1),7232(a,1,2)),flip(a)]. 7243 K(x * R(y,z,u),T(y,x)) = K(x * R(y,z,u),y). [para(668(a,1),7237(a,1,2)),flip(a)]. 7244 K(R(x,y,z) * u,T(x,u)) = K(R(x,y,z) * u,x). [para(668(a,1),7237(a,2,2))]. 7245 K(x,T(y,z \ x)) != u | K(x,T(y,z)) = u. [para(7239(a,1),5494(a,1))]. 7246 K(x,T(y,z \ 1)) != u | K(x,T(y,z)) = u. [para(5422(a,2),7245(a,1))]. 7247 K(x,T(y,z \ u)) != w | K(x,T(y,u \ z)) = w. [para(5477(a,1),7245(a,1))]. 7248 K(x,T(T(y,z),u \ y)) != w | K(x,T(T(y,z),u)) = w. [para(6559(a,1),7246(a,1))]. 7249 K(x,K(y,z \ 1)) = K(x,K(y,z)). [hyper(20,a,5958,a,b,7235,a),flip(a)]. 7250 K(x \ 1,K(y,z)) = K(y,K(z,x)). [hyper(6098,a,7235,a(flip))]. 7251 K(x,K(y,z \ 1)) = K(x,K(z,y)). [hyper(189,a,5983,a,b,7249,a)]. 7252 R(K(x,K(y,z \ 1)),u,w) = K(x,K(y,R(z,u,w))). [hyper(189,a,6460,a,b,7249,a(flip)),flip(a)]. 7253 K(x,K(y,z \ K(u,w))) = K(x,K(y,K(w,u) * z)). [para(5268(a,1),7249(a,1,2))]. 7254 K(K(x,y) * z,z) = K(x,K(y,z)). [hyper(6915,a,7250,a)]. 7255 K(x \ 1,K(y,z)) = K(y,K(x,z)). [hyper(189,a,5983,a,b,7250,a)]. 7256 L(K(x \ 1,K(y,z)),u,w) = K(y,K(z,L(x,u,w))). [hyper(189,a,4824,a,b,7250,a(flip)),flip(a)]. 7257 K(x,K(y,z \ 1)) != u | K(x,K(y,z)) = u. [para(7251(a,2),5991(a,1))]. 7258 (x * (K(y,z) * x)) * K(y,K(z,x)) != x * u | T(K(y,z) * x,x) = u. [para(7254(a,1),294(a,1,2))]. 7260 K(x,K(y,z / (u * z))) != w | K(x,K(y,u)) = w. [para(4776(a,2),7257(a,1,2))]. 7261 K(x,K(y,z \ u)) != w | K(x,K(y,u \ z)) = w. [para(5258(a,1),7257(a,1,2))]. 7262 K((x \ R(y,z,u)) / w,R(T(y,x),z,u)) = K(w \ (x \ R(y,z,u)),R(y,z,u)). [para(45(a,2),7240(a,1,2))]. 7263 R(T(x,y),z,x) * T(z,x) = T(T(x,y) * z,x). [hyper(189,a,5848,a,b,7241,a(flip)),flip(a)]. 7264 K(x,T(y,(z \ u) \ x)) != w | K(x,T(y,u \ z)) = w. [para(7238(a,2),7247(a,1))]. 7265 T(T(T(x,y),z) * T(y,x),T(T(x,y),z)) = T(T(x,z) * y,x). [hyper(189,a,7154,a,b,7263,a(flip)),flip(a)]. 7266 T(x,y) * K(y * R(x,z,u),x) = R(x,y,R(x,z,u)). [para(7243(a,1),4504(a,1,2))]. 7267 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(7243(a,2),5976(a,2,1))]. 7268 R(K(x,K(y,z)),u,w) = K(x,K(y,R(z,u,w))). [para(7249(a,1),7252(a,1,1))]. 7269 R(K(x,K(y,z)),u,w) = K(x,K(z,R(y,u,w))). [para(7251(a,1),7252(a,1,1))]. 7270 K(x,K(y,R(z,y,u))) = K(x,K(y,z)). [hyper(189,a,6459,a(flip),b,7268,a(flip))]. 7271 K(x,K(y,R(z,u,w))) = K(x,K(z,R(y,u,w))). [hyper(189,a,7268,a(flip),b,7269,a(flip))]. 7272 K(x,R(K(y,z),u,w)) = K(x,K(z,R(y,u,w))). [hyper(189,a,6458,a(flip),b,7269,a(flip)),flip(a)]. 7273 K(x,K(y,R(x \ z,u,w))) = K(x,K(z,R(y,u,w))). [hyper(6266,a,7271,a),flip(a)]. 7274 K(R(K(x,y),z,u),w) = K(y,K(w,R(x,z,u))). [hyper(189,a,6456,a,b,7272,a(flip)),flip(a)]. 7275 K(x,K(y,R(x,z,u))) = 1. [hyper(189,a,2667,a(flip),b,7272,a(flip))]. 7276 T(x,K(y,R(x,z,u))) = x. [hyper(40,a,7275,a)]. 7277 T(T(x,y),K(z,R(x,u,w))) = T(x,y). [para(7276(a,1),41(a,1,1)),flip(a)]. 7278 K(x * R(T(y,z),u,w),T(y,v5)) = K(x * R(y,u,w),T(y,v5)). [para(7277(a,1),7202(a,1,2))]. 7279 K(x,K(y,K(z,u) * w)) * y = T(y,K(x,w \ K(u,z))). [para(7253(a,1),5971(a,1,1))]. 7280 L(K(x,K(y,z)),u,w) = K(x,K(z,L(y,u,w))). [para(7255(a,1),7256(a,1,1))]. 7281 L(K(x,K(y,z)),u,w) = K(y,K(z,L(x,u,w))). [para(5966(a,1),7280(a,1,1))]. 7282 K(x,K(y,L(z,u,w))) = K(z,K(y,L(x,u,w))). [hyper(189,a,7280,a(flip),b,7281,a(flip))]. 7283 K(L(K(x,y),z,u),w) = K(y,K(w,L(x,z,u))). [hyper(189,a,6454,a(flip),b,7281,a(flip)),flip(a)]. 7284 K(x,K(y \ z,L(y,u,w))) = K(y,K(z,L(x,u,w))). [hyper(6266,a,7282,a),flip(a)]. 7285 K(L(K(x,y),z,u),w) = K(w,K(y,L(x,z,u))). [hyper(189,a,5966,a,b,7283,a)]. 7286 K(x,L(K(y,z),u,w)) = K(x,K(z,L(y,u,w))). [hyper(189,a,6461,a(flip),b,7283,a(flip)),flip(a)]. 7287 x * K(L(K(y,z),u,w),x) = T(x,K(z,L(y,u,w))). [para(7283(a,2),5970(a,1,2))]. 7288 K(L(K(x,x \ y),z,u),w) = K(x,K(y,L(w,z,u))). [hyper(189,a,7285,a,b,7284,a(flip)),flip(a)]. 7289 T(x,L(K(y,z),u,w)) = T(x,K(z,L(y,u,w))). [hyper(6370,a,7287,a)]. 7290 L(K(x,y),z / K(x,y),u) \ (u * z) = T(u * (z * K(y,x)),K(y,L(x,z,u))). [hyper(189,a,6623,a,b,7289,a(flip)),flip(a)]. 7291 K(x * R(y,z,u),y) * K(y,x) = y \ R(y,x,R(y,z,u)). [hyper(75,a,7266,a(flip),b,4545,a),flip(a)]. 7292 T(x,y) * (K(y * R(x,z,u),x) * w) = R(x,y,R(x,z,u)) * w. [para(7266(a,1),3837(a,1,1)),flip(a)]. 7293 T(x,K(y,z \ K(u,w))) = T(x,K(y,K(w,u) * z)). [hyper(5973,a,7279,a),flip(a)]. 7294 T(x,K(y,z \ K(u,y))) = T(x,K(y,z)). [para(6179(a,1),7293(a,2,2))]. 7295 T(x,K(y,z \ 1)) = T(x,K(y,z)). [para(123(a,1),7294(a,1,2,2,2))]. 7296 T(x,K(y,z \ 1)) = T(x,K(z,y)). [hyper(189,a,6118,a,b,7295,a)]. 7297 T(x,K(y,z \ u)) = T(x,K(y,u \ z)). [para(5258(a,1),7295(a,1,2))]. 7298 T(x,K(y \ z,u)) = T(x,K(u,z \ y)). [para(5258(a,1),7296(a,1,2)),flip(a)]. 7299 T(x,K(y,z \ x)) = T(x,K(y,z)). [hyper(6665,a,7297,a),flip(a)]. 7300 L(x,y,z) \ L(T(x,K(u,w)),y,z) = K(L(x,y,z),K(u,w \ x)). [para(7299(a,1),4397(a,1,2,1))]. 7301 T(x,K(y \ z,u)) != w | T(x,K(z \ y,u)) = w. [para(7298(a,2),6121(a,1))]. 7302 T(x,K(y \ z,z)) != u | T(x,K(z,y)) = u. [para(7298(a,2),6016(a,1))]. 7303 T(x * K(y / z,x),z \ y) = T(x,K(y,z)). [hyper(7302,a,7224,a(flip)),flip(a)]. 7304 T(T(x,K(y,z)),y / z) = T(x,z \ y). [para(7303(a,1),4420(a,1,1))]. 7305 T(K(x,y) * z,x / z) = T(K(x,y) * z,z \ x). [para(6185(a,1),7304(a,1,1))]. 7306 K(x,y) * T(K(y,x) * z,y / z) = T(z,z \ T(y,x)). [para(7305(a,2),6851(a,1,2))]. 7307 T(x * K(y,z),y / x) * K(z,y) = T(x,x \ T(y,z)). [hyper(3957,a,7306,a)]. 7308 T(x,x \ T(y,z)) * K(y,z) = T(x * K(y,z),y / x). [hyper(3929,a,7307,a)]. 7309 (x / y) * T(x * (y / x),z) = T(x * K(y,z),y / x). [hyper(189,a,5172,a(flip),b,7308,a(flip)),flip(a)]. 7310 T(x * K(y * x,z),(y * x) / x) = (x / (y * x)) * T(x * y,z). [para(18(a,1),7309(a,1,2,1,2)),flip(a)]. 7311 R(x * (y * R(x,z,u)),K(y * R(x,z,u),x),K(x,y)) \ (((y * R(x,z,u)) * x) * K(x,y)) = x \ R(x,y,R(x,z,u)). [hyper(189,a,399,a,b,7291,a(flip)),flip(a)]. 7312 K(R(x,y,z) * u,T(x,u)) * K(T(x,u),u) = T(x,u) \ R(T(x,u),u,R(T(x,u),y,z)). [para(160(a,1),7291(a,1,1,1))]. 7313 K((T(T(x,y),z) * T(y,x)) \ u,T(x,y)) = K(T(T(x,z) * y,x) \ u,T(x,y)). [para(7265(a,1),6414(a,1,1,1)),flip(a)]. 7314 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(7278(a,1),4654(a,1,1,2))]. 7316 K(L(x,y,z),K(u,w \ x)) = K(L(x,y,z),K(u,w)). [hyper(4513,a,7300,a),flip(a)]. 7317 K(L(x,y,z),K(u,w \ x)) = K(u,K(w,L(x,y,z))). [hyper(189,a,5969,a,b,7316,a)]. 7318 T(x,K(y \ z,L(z,u,w))) = (K(x,K(y,L(z,u,w))) * v5) / (x \ v5). [para(7317(a,1),5986(a,1,1,1)),flip(a)]. 7319 (x / (y * x)) * T(x * y,z) = T(x * K(y * x,z),y). [para(18(a,1),7310(a,1,2)),flip(a)]. 7320 T(x,K(y \ z,L(z,u,w))) = T(x,K(y,L(z,u,w))). [hyper(189,a,4550,a(flip),b,7318,a)]. 7321 T(x,K(y \ z,L(y,u,w))) = T(x,K(z,L(y,u,w))). [hyper(7301,a,7320,a)]. 7322 T(K(x,y) * z,z) = z * K(x,y). [hyper(7258,a,6607,a)]. 7324 T(x * K(x / y,z),x) = x * K(y \ x,z). [para(6063(a,1),7322(a,1,1))]. 7325 (x \ (x * K(y \ x,z))) \ (x * K(x / y,z)) = L(x,K(y \ x,z),x). [para(7322(a,1),7133(a,1,1,2))]. 7326 K(x / T(y,x),z) = K(y \ x,z). [hyper(7126,a,7324,a)]. 7328 K((x \ 1) \ y,z) = K(x * y,z). [para(4240(a,1),7326(a,1,1)),flip(a)]. 7331 K(x \ y,z) \ (y * K(y / x,z)) = L(y,K(x \ y,z),y). [para(16(a,1),7325(a,1,1))]. 7332 L(x,K(y \ x,z),x) = x. [hyper(6129,a,7331,a)]. 7334 L(x,K(y,z),x) = x. [para(69(a,1),7332(a,1,2,1))]. 7337 (1 / x) \ K(y,z) = x * K(y,z). [para(7334(a,1),4261(a,1,1)),flip(a)]. 7338 (1 / x) * (x * K(y,z)) = K(y,z). [para(7337(a,1),17(a,1,2))]. 7339 (1 / x) \ K(y,z) != x * u | K(y,z) = u. [para(7337(a,2),22(a,1))]. 7341 (x \ 1) * K(y,z) = x \ K(y,z). [para(67(a,1),7337(a,1,1)),flip(a)]. 7342 L(K(x,y),z \ 1,z) = K(x,y). [hyper(4218,a,7338,a)]. 7343 L(K(x,y),z,z \ 1) = K(x,y). [hyper(2390,a,7338,a)]. 7344 (1 / x) \ K(y,z) != u | x * K(y,z) = u. [para(7338(a,1),237(a,1,2)),flip(b)]. 7345 K((x * y) \ 1,z) = K(y \ (x \ 1),z). [hyper(189,a,5528,a(flip),b,7342,a(flip)),flip(a)]. 7347 K(x,y) * (1 / z) = K(x,y) / z. [para(7343(a,1),4216(a,1,1))]. 7350 (x \ K(y,z)) \ (x \ 1) = K(z,y). [para(7341(a,1),3918(a,1,1))]. 7352 1 / (x \ K(y,z)) = K(y,z) \ x. [hyper(75,a,67,a(flip),b,7347,a),flip(a)]. 7353 (K(x,y) / z) \ 1 = z * K(y,x). [para(7350(a,1),223(a,1,2)),flip(a)]. 7354 (K(x,y) \ z) \ 1 = z \ K(x,y). [para(7352(a,1),69(a,1,1))]. 7356 1 / (x * K(y,z)) = K(z,y) / x. [para(7353(a,1),67(a,1,2))]. 7358 (K(x,y) * z) \ 1 = z \ K(y,x). [para(3889(a,1),7354(a,1,1))]. 7359 T(x,y * (((z * K(u,w)) \ 1) \ v5)) = T(x,y * ((K(w,u) / z) \ v5)). [para(7356(a,1),4135(a,1,2,2,1)),flip(a)]. 7360 K((x * (y \ 1)) \ 1,z) = K(y * (x \ 1),z). [hyper(189,a,7328,a(flip),b,7345,a)]. 7363 K((x \ 1) * (y \ 1),z) = K((y * x) \ 1,z). [hyper(189,a,5571,a(flip),b,7360,a(flip))]. 7364 K(x * (((x \ y) \ 1) \ 1),z) / (x \ T(y,z)) = 1 / (x \ y). [para(7360(a,1),5717(a,1,1))]. 7365 K(((x \ 1) * y) \ 1,z) = K((y \ 1) * x,z). [hyper(189,a,5561,a(flip),b,7363,a(flip))]. 7366 T(x,y) / ((1 / z) \ x) = K((z \ 1) * ((z \ 1) \ x),y) / z. [para(7365(a,1),5638(a,2,1))]. 7367 K(x,y) / (z \ T(x,y)) = 1 / (z \ x). [para(5565(a,1),7364(a,1,1))]. 7368 (1 / (x \ y)) \ K(y,z) = x \ T(y,z). [para(7367(a,1),69(a,1,1))]. 7370 (x \ y) * K(y,z) = x \ T(y,z). [hyper(7344,a,7368,a)]. 7371 (x / y) \ T(x,z) = y * K(x,z). [hyper(455,a,7370,a),flip(a)]. 7373 T(x,y) * K(x * y,z) = y \ T(x * y,z). [para(35(a,2),7370(a,1,1))]. 7375 (x \ T(y,z)) * K(z,y) != u | x \ y = u. [para(7370(a,1),3921(a,1,1)),flip(b)]. 7377 (x / y) * (y * K(x,z)) = T(x,z). [para(7371(a,1),17(a,1,2))]. 7378 (x \ y) / (z * K(y / x,x)) = (y / x) / z. [hyper(76,a,115,a(flip),b,7377,a)]. 7380 T(x,y) = (x / (y * x)) * (x * y). [para(95(a,1),7377(a,1,2)),flip(a)]. 7381 T(x,y) / (x * y) = R(1 / y,y,x). [hyper(76,a,7380,a,b,285,a)]. 7382 (x / (y * x)) * T(x * y,z) = T(x,y) * K(x * y,z). [para(7380(a,2),5139(a,1,1)),flip(a)]. 7383 R(1 / x,x,T(y,x)) = R(1 / x,x,y). [hyper(538,a,7381,a)]. 7384 (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(7381(a,1),1724(a,1,1)),flip(a)]. 7385 R(1 / x,x,y / x) = R(1 / x,x,x \ y). [para(115(a,1),7383(a,1,3)),flip(a)]. 7386 (1 / (x \ T(y,z))) \ K(z,y) = x \ y. [hyper(7375,a,7337,a(flip)),flip(a)]. 7388 (T(x,y) / z) \ x = (1 / z) \ K(y,x). [para(69(a,1),7386(a,1,1,2)),flip(a)]. 7389 K(x,(1 / (y \ T(L(L(x,z,u),w,v5),v6))) \ K(v6,L(L(x,z,u),w,v5))) = K(x,L(L(x,z,u),w,v5) / y). [para(7386(a,2),5411(a,2,2)),flip(a)]. 7390 T(x,y) * K(z,K(u,x * y)) = y \ T(x * y,K(z,u)). [para(5969(a,2),7373(a,1,2))]. 7391 (x \ y) / (z * K(x \ y,x)) = (y / x) / z. [para(3896(a,1),7378(a,1,2,2))]. 7392 R(1 / x,x,x \ y) \ (y / x) = x * (y / x). [para(7385(a,1),290(a,1,1))]. 7393 (x \ y) / (z / T(x,x \ y)) = (y / x) / (z / x). [para(5178(a,1),7391(a,1,2))]. 7394 ((x \ y) / y) * (x * (y / x)) = y / x. [para(7392(a,1),609(a,1,2))]. 7395 K(x,(y * (z / y)) / ((z / y) * x)) = K(x,((y \ z) / z) \ (x \ 1)). [para(7394(a,1),6758(a,1,2,2,1))]. 7396 (x \ y) / (1 / T(x,x \ y)) = L(y,x,x \ 1). [hyper(189,a,4215,a(flip),b,7393,a)]. 7397 L(x,y,y \ 1) != z | (y \ 1) \ (y \ x) = z. [para(7396(a,1),4288(a,1))]. 7398 T(x * K(y * x,z),y) = T(x,y) * K(x * y,z). [hyper(189,a,7319,a(flip),b,7382,a(flip)),flip(a)]. 7399 K(x,y * z) * T(y * K(z * y,x),z) = T(T(y,z),K(x,y * z)). [para(7398(a,2),6122(a,1,2))]. 7400 T(x,y) / ((1 / z) \ x) = K(x,y) / z. [para(17(a,1),7366(a,2,1,1))]. 7401 T(x,y) / ((1 / y) \ x) = 1 / T(y,x). [hyper(189,a,4362,a(flip),b,7400,a)]. 7402 T(x,y * L(y \ 1,y,z)) / ((1 / (y * L(y \ 1,y,z))) \ x) = 1 / (y * ((z * y) \ z)). [para(5810(a,1),7401(a,2,2))]. 7403 T(x,y * ((K(z,z \ 1) / u) \ w)) = T(x,y * ((u \ K(z,z \ 1)) \ w)). [para(3246(a,1),7359(a,1,2,2,1)),flip(a)]. 7404 K(x,(y * (z / y)) / ((z / y) * x)) = K(x,z / ((y \ z) * x)). [hyper(189,a,6761,a(flip),b,7395,a)]. 7405 K(x,R(x \ y,x,z / y)) = K(x,z / ((y \ z) * x)). [hyper(189,a,6762,a,b,7404,a(flip)),flip(a)]. 7406 K(x,R(x \ (y / z),x,y / (y / z))) = K(x,y / (z * x)). [para(69(a,1),7405(a,2,2,2,1))]. 7407 K(x,y * z) * T(y * K(z * y,x),z) = T(T(y,K(z,x)),z). [hyper(189,a,6670,a(flip),b,7399,a)]. 7408 K(x,y * z) * T(y * K(z * y,x),z) = T(y,T(z,x)). [hyper(189,a,6321,a(flip),b,7407,a)]. 7409 T(x,(K(y \ 1,y) * z) * ((u \ 1) \ w)) = T(x,z * ((u \ K(y,y \ 1)) \ w)). [hyper(189,a,5740,a,b,7403,a(flip)),flip(a)]. 7410 T(T(x * K(y * R(x,z,u),x),w),y) = R(T(x,w),y,R(T(x,w),z,u)). [para(4653(a,1),7314(a,1,1))]. 7411 R(T(x,y),z,R(T(x,y),u,w)) = R(T(x,y),z,R(x,u,w)). [hyper(189,a,5651,a(flip),b,7410,a(flip))]. 7412 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(7411(a,1),7292(a,2,1))]. 7413 K((T(x,y) \ R(x,z,u)) / w,R(x,z,u)) = K(w \ (T(x,y) \ R(x,z,u)),R(x,z,u)). [para(171(a,1),7262(a,1,2,1))]. 7414 L(K(x,x \ y),z / K(x,x \ y),u) \ (u * z) = T(u * (z * K(x \ y,x)),K(y,L(x,z,u))). [hyper(189,a,7321,a(flip),b,7290,a)]. 7415 K((T(T(x,y),z) * T(y,x)) \ u,T(x,y)) = K((T(x,z) * y) \ u,T(x,y)). [hyper(189,a,6244,a(flip),b,7313,a)]. 7416 K((T(T(x,y),z) * T(y,x)) \ u,T(x,y)) = K(u / (T(x,z) * y),x). [hyper(189,a,6830,a(flip),b,7415,a)]. 7417 K(T(x,y) \ (T(y,x) \ z),T(y,x)) = K(z / (T(y,u) * x),y). [hyper(189,a,7004,a(flip),b,7416,a(flip)),flip(a)]. 7419 K(T(x,y) \ (y \ z),T(y,x)) = K(z / (T(y,u) * x),y). [hyper(189,a,6571,a(flip),b,7417,a(flip)),flip(a)]. 7420 K(x / (T(y,z) * u),y) = K((y \ x) / u,y). [hyper(6332,a,7419,a),flip(a)]. 7422 K(x / (T(y,z) * u),y) = K(x / (u * y),y). [hyper(6451,a,7420,a(flip)),flip(a)]. 7423 K((x \ y) / z,x) = K(y / (x * z),x). [para(112(a,1),7420(a,1,1,2,1)),flip(a)]. 7424 K(x / (y * z),y) != u | K(x / (z * y),y) = u. [para(7423(a,1),6451(a,1))]. 7425 K((T(x,y) \ z) / u,x) = K(z / (u * x),x). [hyper(189,a,7024,a,b,7422,a(flip)),flip(a)]. 7427 T(x,K(y \ 1,y) * (z * ((u \ 1) \ w))) = T(x,z * ((u \ K(y,y \ 1)) \ w)). [para(3184(a,1),7409(a,1,2))]. 7428 T(x,y * ((z \ K(u,u \ 1)) \ w)) = T(x,y * ((z \ 1) \ w)). [hyper(189,a,4082,a(flip),b,7427,a(flip))]. 7430 K(x,y * ((z \ K(u,u \ 1)) \ w)) = x \ T(x,y * ((z \ 1) \ w)). [hyper(75,a,7428,a(flip),b,4396,a(flip)),flip(a)]. 7431 K(x,y * ((z \ K(u,u \ 1)) \ w)) = K(x,y * ((z \ 1) \ w)). [hyper(189,a,4360,a,b,7430,a)]. 7432 K(x,y * ((1 / z) \ u)) = K(x,y * ((z \ 1) \ u)). [para(1537(a,1),7431(a,1,2,2,1))]. 7433 K(x,(y \ 1) * ((1 / y) \ z)) = K(x,z). [para(17(a,1),7432(a,2,2))]. 7434 K(x,K(y \ 1,y) * z) = K(x,z). [para(2405(a,1),7433(a,1,2))]. 7435 K(x,((y \ 1) \ 1) \ z) = K(x,y \ z). [para(2445(a,1),7434(a,1,2))]. 7436 K(x,y * K(z,z \ 1)) = K(x,y). [para(2481(a,1),7434(a,1,2)),flip(a)]. 7437 K(x,(y \ L(y * (z / y),u,w)) * y) = K(x,L(z * K(y,y \ 1),u,w)). [para(2955(a,1),7434(a,1,2))]. 7438 K(x,(K(y \ 1,y) * z) / u) = K(x,z / u). [para(3185(a,2),7434(a,1,2))]. 7439 K(x,y \ ((z \ 1) \ 1)) = K(x,y \ z). [para(3450(a,1),7434(a,1,2)),flip(a)]. 7440 K(x,(K(y,y \ 1) * z) \ u) = K(x,z \ u). [para(4121(a,2),7434(a,1,2))]. 7441 K(x,y / (K(z,z \ 1) * u)) = K(x,y / u). [para(4143(a,2),7434(a,1,2))]. 7442 K(x,y \ (K(z,z \ 1) * u)) = K(x,y \ u). [para(4128(a,2),7436(a,1,2))]. 7443 K(x \ 1,y / (z * (x \ 1))) = K(x \ 1,(z / y) \ x). [hyper(189,a,6761,a(flip),b,7439,a(flip)),flip(a)]. 7444 K(x \ 1,R(y * (x \ 1),z,u) \ 1) = R(K(x \ 1,y \ x),z,u). [para(7439(a,1),5671(a,1,1)),flip(a)]. 7446 K(x,(y * (1 / z)) / u) = K(x,(y * (z \ 1)) / u). [para(2446(a,1),7438(a,1,2,1)),flip(a)]. 7447 K(x,(K(y \ 1,y) * z) \ u) = K(x,z \ u). [para(1538(a,1),7440(a,1,2,1,1))]. 7448 K(x,(y * (1 / z)) \ u) = K(x,(y * (z \ 1)) \ u). [para(2416(a,1),7440(a,1,2,1))]. 7449 K(x,y / (K(z \ 1,z) * u)) = K(x,y / u). [para(1538(a,1),7441(a,1,2,2,1))]. 7450 K(x,y / (z * (u / ((w \ 1) \ 1)))) = K(x,y / (z * (u / w))). [para(4116(a,1),7441(a,1,2,2)),flip(a)]. 7451 K(x,y \ (((z \ 1) \ 1) * u)) = K(x,y \ (z * u)). [para(2365(a,1),7442(a,1,2,2))]. 7452 K(x,((((y \ 1) \ 1) * z) \ u) \ w) = K(x,((y * z) \ u) \ w). [para(4127(a,1),7447(a,1,2,1))]. 7453 K(x,L(K(y \ 1,y) * z,u,w) \ v5) = K(x,L(z,u,w) \ v5). [para(5064(a,2),7447(a,1,2,1))]. 7454 K(x,y / ((((z \ 1) \ 1) \ u) * w)) = K(x,y / ((z \ u) * w)). [para(3221(a,1),7449(a,1,2,2))]. 7455 K(x,y / ((z / (1 / u)) * w)) = K(x,y / ((z / (u \ 1)) * w)). [para(3222(a,1),7449(a,1,2,2))]. 7456 K(x,(y * ((z \ 1) \ 1)) / u) = K(x,(y * z) / u). [para(67(a,1),7446(a,1,2,1,2)),flip(a)]. 7457 K(x \ 1,y / (z * (x \ 1))) = K(x \ 1,(y * x) / z). [hyper(189,a,7119,a(flip),b,7456,a(flip)),flip(a)]. 7458 K(x \ 1,y / R(z,x,x \ 1)) = K(x \ 1,(y * x) / (z * x)). [para(369(a,1),7457(a,1,2,2))]. 7459 K(x,y / (z * (x / ((z \ 1) \ 1)))) = K(x,(z * (x / z)) \ y). [hyper(189,a,5417,a(flip),b,7450,a)]. 7460 K(x,L((1 / y) * z,u,w) \ v5) = K(x,L((y \ 1) * z,u,w) \ v5). [para(2378(a,1),7453(a,1,2,1,1)),flip(a)]. 7461 K(x,y / ((z / ((u \ 1) \ 1)) * w)) = K(x,y / ((z / u) * w)). [para(67(a,1),7455(a,1,2,2,1,2)),flip(a)]. 7462 K(x,(y * (x / y)) \ z) = K(x,x \ z). [hyper(189,a,5816,a(flip),b,7459,a(flip))]. 7463 K(x,x \ (y * x)) = K(x,K(z \ x,z) * y). [hyper(6862,a,7462,a),flip(a)]. 7465 K(x,K(y \ x,y) * z) = K(x,z). [hyper(3940,a,7463,a),flip(a)]. 7467 K(x * y,K(y,x) * z) = K(x * y,z). [para(16(a,1),7465(a,1,2,1,1))]. 7468 K(x,K(y,y \ x) * z) = K(x,z). [para(3887(a,1),7465(a,1,2)),flip(a)]. 7469 (K(x,K(y \ z,y)) * K(z,x)) \ (x * K(y \ z,y)) = T(K(y \ z,y) * x,z). [para(7465(a,1),5179(a,1,1,2))]. 7470 K(x,y) * ((K(z,z \ x) * y) * x) = x * (K(z,z \ x) * y). [para(7468(a,1),4373(a,1,1))]. 7471 T((K(x,y) * z) * K(y * x,z),y * x) = K(x,y) * z. [para(7467(a,1),4374(a,1,1,2))]. 7472 (K(x,y) * z) * T(y * x,z) = (y * x) * (K(x,y) * z). [para(7471(a,1),5133(a,1,2)),flip(a)]. 7473 T(x,y) * T(K(z,z \ x) * y,x) = x * (K(z,z \ x) * y). [hyper(4691,a,7470,a)]. 7474 T(x,K(y,y \ x) * z) = T(x,z). [hyper(3556,a,7473,a)]. 7475 R(K(x,x \ y),z,T(y,K(x,x \ y) * z)) = (y * (K(x,x \ y) * z)) / (z * T(y,z)). [para(7474(a,1),155(a,1,2,2)),flip(a)]. 7476 K(x \ 1,y / R(z,x,x \ 1)) = K(x \ 1,y / z). [hyper(189,a,6946,a(flip),b,7458,a)]. 7477 K(x \ 1,y / T(z * (x \ 1),x)) = K(x \ 1,y / (x \ z)). [para(521(a,1),7476(a,1,2,2))]. 7478 K(x \ 1,y / (z * (x \ 1))) = K(x \ 1,y / (x \ z)). [hyper(189,a,6940,a(flip),b,7477,a(flip)),flip(a)]. 7479 K(x \ 1,y / (x \ z)) = K(x \ 1,(z / y) \ x). [hyper(189,a,7443,a(flip),b,7478,a(flip))]. 7480 R(K(x \ 1,(y / (z / u)) \ x),z / u,u) = K(x \ 1,z / ((x \ y) * u)). [para(7479(a,1),5678(a,1,1))]. 7481 K(x \ 1,R(y * (x \ 1),z,u) \ 1) != w | K(R(x,z,u) \ 1,y \ x) = w. [para(7444(a,2),4937(a,1))]. 7482 K(1 / x,L((x \ 1) * y,z,u) \ 1) = K(L(x,z,u) \ 1,y \ x). [hyper(7026,a,7460,a),flip(a)]. 7483 K(x \ 1,L((x \ 1) * y,z,u) \ 1) = K(L(x,z,u) \ 1,y \ x). [hyper(4254,a,7482,a)]. 7484 K(x,x * (x \ L(x * (y / x),z,u))) = K(x,L(y * K(x,x \ 1),z,u)). [hyper(4577,a,7437,a)]. 7485 K(x,L(y * K(x,x \ 1),z,u)) = K(x,L(x * (y / x),z,u)). [para(17(a,1),7484(a,1,2)),flip(a)]. 7487 K(x,L(K(x,x \ 1) * y,z,u)) = K(x,L(x * (y / x),z,u)). [para(2502(a,2),7485(a,1,2,1))]. 7488 K(x,L(x \ ((x \ 1) \ y),z,u)) = K(x,L(x * (y / x),z,u)). [hyper(189,a,7009,a,b,7487,a(flip)),flip(a)]. 7489 K(x,L(x \ ((x \ 1) \ y),z,u)) = K(x,L(y,z,u)). [hyper(189,a,5120,a(flip),b,7488,a)]. 7490 K(x,y \ (x \ (y * ((x \ 1) \ z)))) = K(x,L(z,x,y)). [hyper(7008,a,7489,a)]. 7491 K(R(x,y / z,z) \ 1,(u / (y / z)) \ x) = K(x \ 1,y / ((x \ u) * z)). [hyper(4937,a,7480,a)]. 7492 (K(x,K(y,y \ z)) * K(z,x)) \ (x * K(y \ z,y)) = T(K(y \ z,y) * x,z). [para(5983(a,1),7469(a,1,1,1))]. 7493 (K(x,K(y,z)) * K(z,x)) \ (x * K(y \ z,y)) = T(K(y \ z,y) * x,z). [para(5995(a,1),7492(a,1,1,1))]. 7494 K(x,T(y,z)) \ (y * K(z \ x,z)) = T(K(z \ x,z) * y,x). [para(5978(a,1),7493(a,1,1))]. 7495 K(x,T(y,z)) * (x * K(z \ y,z)) = T(K(z \ y,z) * x,y). [hyper(5402,a,7494,a)]. 7496 T(x,T(y,z)) * K(z \ y,z) = T(K(z \ y,z) * x,y). [hyper(4564,a,7495,a)]. 7497 T(K(x \ y,x) * z,y) = K(x \ y,x) * T(z,y). [hyper(189,a,6905,a(flip),b,7496,a(flip))]. 7498 T(K(x \ (y * x),x) * z,y * x) = K(y,x) * T(z,y * x). [para(3895(a,1),7497(a,2,1))]. 7499 T(K(x,y) * z,x * y) = K(x,y) * T(z,x * y). [para(3895(a,1),7498(a,1,1,1))]. 7500 T(x * K(y,z),z * y) = T(x,z * y) * K(y,z). [hyper(4992,a,7499,a),flip(a)]. 7501 (x * (y * z)) \ ((y * z) * T(x * K(z,y),y * z)) = L(K(z,y),T(x,y * z),y * z). [para(7500(a,2),153(a,1,2,2))]. 7502 1 * ((x \ R(x,y,z)) / K(u,R(x,w,v5))) = K(R(x,w,v5),u) * (x \ R(x,y,z)). [para(190(a,1),6336(a,1,1))]. 7504 1 * ((x \ R(x,y,z)) * K(R(x,u,w),v5)) = K(R(x,u,w),v5) * (x \ R(x,y,z)). [para(3890(a,1),7502(a,1,2))]. 7505 K(R(x,y,z),u) * (x \ R(x,y,z)) = 1 * (x \ R(T(x,u),y,z)). [para(5715(a,1),7504(a,1,2)),flip(a)]. 7506 K(R(x,y,z),u) * (x \ R(x,y,z)) = x \ R(T(x,u),y,z). [hyper(189,a,14,a(flip),b,7505,a)]. 7507 K(x,R(y,z,u)) * (y \ R(T(y,x),z,u)) = y \ R(y,z,u). [hyper(3907,a,7506,a)]. 7508 (x \ K(y,z)) * T((x \ K(y,z)) \ u,y) = x \ T(x * u,y). [para(17(a,1),6346(a,1,2,1)),flip(a)]. 7510 K(x,(y \ K(x,z)) \ u) = (y \ T(y * u,x)) \ u. [para(7508(a,1),5184(a,1,1)),flip(a)]. 7511 K(x,(y \ K(x,z)) \ u) = K(x,(y \ 1) \ u). [hyper(189,a,5243,a(flip),b,7510,a)]. 7512 K(x,((y \ 1) \ K(x,z)) \ u) = K(x,y \ u). [hyper(189,a,7435,a(flip),b,7511,a)]. 7513 K(x,((K(y,x) * (z \ 1)) \ 1) \ u) = K(x,z \ u). [para(7358(a,2),7512(a,1,2,1))]. 7514 K(x,(((y \ 1) * K(z,x)) \ 1) \ u) = K(x,y \ u). [para(6051(a,1),7513(a,1,2,1,1))]. 7515 K(x,((y * K(z,x)) \ 1) \ u) = K(x,(y \ 1) \ u). [hyper(189,a,7452,a(flip),b,7514,a(flip)),flip(a)]. 7516 K(x,((T(y,x) / z) \ 1) \ u) = K(x,((y / z) \ 1) \ u). [para(1097(a,1),7515(a,1,2,1,1))]. 7517 K(T(x,y * K(z * x,y)),T(u,x * z)) = K((x * K(x * z,x)) * K(x,y),u). [hyper(6268,a,6675,a)]. 7518 K(T(x,y * K(z * x,y)),T(u,z)) = K((x * K(x * z,x)) * K(x,y),u). [hyper(189,a,6453,a(flip),b,7517,a(flip)),flip(a)]. 7519 K((x * K(x * y,x)) * K(x,z),u) = K(x * K(T(x,y),z),T(u,y)). [hyper(189,a,6676,a(flip),b,7518,a(flip))]. 7520 K((x * K(x * y,x)) * K(x,z),u) = K(K(y,x) * T(x,z),u). [hyper(189,a,6404,a(flip),b,7519,a)]. 7521 K(T(x,y) * K(x * z,x),u) = K(K(z,x) * T(x,y),u). [para(4783(a,1),7520(a,1,1))]. 7522 K(K(x * y,x) * T(x,z),u) = K(K(y,x) * T(x,z),u). [para(2759(a,1),7521(a,1,1))]. 7523 K(K(x * y,x) * T(x,z),T(u,z)) = K(x,T(u,T(y,z))). [hyper(189,a,6658,a(flip),b,7522,a)]. 7524 K(x,T(y,T(x * z,u))) = K(x,T(y,T(z,u))). [hyper(6659,a,7523,a)]. 7525 K(x,T(x * y,T(y,z))) = K(x,x * y). [para(171(a,1),7524(a,1,2)),flip(a)]. 7526 K(x,T(x * T(y,z),y)) = K(x,x * T(y,z)). [para(6092(a,1),7525(a,1,2))]. 7527 K(T(x,y) \ z,T(z,T(x,z))) = K(T(x,y) \ z,(T(x,y) \ z) * T(x,y)). [hyper(189,a,4842,a(flip),b,7526,a(flip)),flip(a)]. 7528 K(T(x,y) \ z,T(z,T(x,z))) = K(T(x,y) \ z,T(x,y) * (T(x,y) \ z)). [hyper(189,a,4576,a,b,7527,a)]. 7529 K(T(x,y) \ z,T(z,T(x,z))) = K(T(x,y) \ z,z). [para(17(a,1),7528(a,2,2))]. 7530 K(T(x,y) \ z,T(z,x)) = K(T(x,y) \ z,z). [para(3521(a,1),7529(a,1,2))]. 7531 K(x,R(y,z,R(y,u,w))) = K(x,y). [hyper(20,a,7353,a(flip),b,6696,a)]. 7532 K(T(x,y),T(z,y)) = K(x,R(z,u,R(T(z,y),w,v5))). [hyper(6110,a,7531,a),flip(a)]. 7533 K(x,R(y,z,R(T(y,u),w,v5))) = K(x,y). [hyper(6101,a,7532,a),flip(a)]. 7535 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(7533(a,1),7507(a,1,1))]. 7536 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(4561,a,7535,a)]. 7537 K(x,y) * (y \ R(T(y,x),z,R(y,u,w))) = y \ R(y,z,R(T(y,x),u,w)). [para(7411(a,1),7535(a,1,2,2))]. 7538 R(x,y / x,z) \ R(T(x,T(u,y)),y / x,z) = K((y * z) / ((y / x) * z),u). [para(6389(a,1),6896(a,1,2,1))]. 7539 K(R(x,y / x,z),T(u,y)) = K((y * z) / ((y / x) * z),u). [hyper(4514,a,7538,a)]. 7540 K(R(x,y / x,z),u) = K((y * z) / ((y / x) * z),T(u,y)). [hyper(6079,a,7539,a)]. 7541 R(K((x / y) \ x,z),x,u) = K(R(y,x / y,u),z). [hyper(189,a,5762,a(flip),b,7540,a),flip(a)]. 7542 K(R(x,y / x,z),u) = R(K(x,u),y,z). [para(69(a,1),7541(a,1,1,1)),flip(a)]. 7543 R(K(x \ y,z),y,u) = K(R(x \ y,x,u),z). [para(67(a,1),7542(a,1,1,2)),flip(a)]. 7545 T(x * L(L(y,z,u),x,y),y * K(x,y)) = L(y * K(x,y),z,u) * T(x,y). [para(5055(a,1),6714(a,1,1))]. 7546 T(x * L(L(y,z,u),x,y),y * K(x,y)) = T(x,y) * L(y,z,u). [hyper(189,a,4508,a(flip),b,7545,a)]. 7547 T(x * L(L(y,x,y),z,u),y * K(x,y)) = T(x,y) * L(y,z,u). [para(48(a,1),7546(a,1,1,2))]. 7548 T(x * L(L(y,x,y),z,u),T(y,x)) = T(x,y) * L(y,z,u). [hyper(189,a,6093,a(flip),b,7547,a(flip)),flip(a)]. 7549 T(x * L(L(y,x,y),z,u),y) = T(x,y) * L(y,z,u). [hyper(189,a,7242,a(flip),b,7548,a(flip)),flip(a)]. 7550 K(x,L(L(x,y,x),z,u) / (y \ 1)) * (y \ (T(y,x) * L(x,z,u))) = L(L(x,y,x),z,u). [para(7549(a,1),4671(a,1,2,2))]. 7551 K(L(x,y * z,u),(x * y) \ (x * (y * z))) = K(x,L(L(z,y,x),x * y,u)). [para(16(a,1),6763(a,1,2,1))]. 7553 K(L(x,y * z,u),L(z,y,x)) = K(x,L(L(z,y,x),x * y,u)). [para(31(a,2),7551(a,1,2))]. 7554 K(L(x,y * z,u),z) = K(x,L(L(z,y,x),x * y,u)). [hyper(189,a,6779,a(flip),b,7553,a(flip)),flip(a)]. 7555 K(L(x,y * z,u),z) = K(x,L(z,x * y,u)). [hyper(189,a,6767,a(flip),b,7554,a)]. 7558 K(L(x,(x \ y) * z,u),z) = K(x,L(z,y,u)). [para(17(a,1),7555(a,2,2,2))]. 7559 K(x,L(y,x * (z / y),u)) = K(L(x,z,u),y). [para(19(a,1),7555(a,1,1,2)),flip(a)]. 7560 K(x,L(y,z,y)) = K(x,y). [hyper(189,a,6980,a(flip),b,7558,a(flip))]. 7561 K(x,y \ K(z,L(x,u,w))) = K(x,y \ 1). [para(7558(a,1),6182(a,1,2,2))]. 7562 T(x,L(y,z,y)) = x * K(x,y). [para(7560(a,1),4396(a,2,2))]. 7563 T(x,L(y,z,y)) = T(x,y). [hyper(189,a,4396,a,b,7562,a)]. 7564 T(x / L(y,z,y),y) = L(y,z,y) \ x. [hyper(307,a,7563,a),flip(a)]. 7565 T(x * L(y,x,y),L(y,z,y)) = T(x,y) * y. [hyper(189,a,3725,a(flip),b,7563,a)]. 7569 (x / L(y,z,y)) * y = y * (L(y,z,y) \ x). [para(7564(a,1),113(a,1,2)),flip(a)]. 7570 K(x,(T(L(x,y,z),u) \ w) \ 1) = K(x,w \ L(x,y,z)). [hyper(189,a,5593,a(flip),b,7561,a(flip))]. 7571 K(x,y \ K(z,L(L(x,u,w),v5,v6))) = K(x,y \ 1). [para(7558(a,1),7561(a,1,2,2))]. 7572 K(L(R(x,y,z),u,x),w) = K(R(x,y,z),w). [hyper(7025,a,7559,a),flip(a)]. 7573 T(x,y * K(L(x,z,u),w)) = T(x,y). [para(7559(a,1),6153(a,1,2,2))]. 7574 K(K(L(x,y,z),u) * w,x) = K(w,x). [para(7559(a,1),6201(a,1,1,1))]. 7575 T(x,L(x,y,z) * u) = T(x,u * L(x,y,z)). [para(95(a,1),7573(a,1,2))]. 7576 K(x,T(y,K(L(x,z,u),w) * v5)) = K(x * K(v5,x),y). [para(7574(a,1),6046(a,1,1,2)),flip(a)]. 7577 K(x * T(L(y,z,u),w),y) = K(x * L(y,z,u),y). [para(6095(a,1),7574(a,1,1))]. 7578 K(R(L(x,y,x),z,u),w) = K(R(x,z,u),w). [para(47(a,2),7572(a,1,1))]. 7579 ((x / L(T(y,z),u,T(y,z))) * K(y,z)) * y = T(y,z) * (L(T(y,z),u,T(y,z)) \ x). [hyper(5202,a,7569,a)]. 7580 K(x,T(y,z * L(y,u,w))) = K(x,T(y,z)). [para(7575(a,1),7029(a,1,2))]. 7581 K(x,T(y,z * (u * y))) = K(x,T(y,z * u)). [para(102(a,1),7580(a,1,2,2))]. 7582 K(x,T(y,z * (y * u))) = K(x,T(y,z * u)). [para(6164(a,1),7581(a,1,2))]. 7583 K(x * y,T(x,z * y)) = K(x * y,T(x,z)). [hyper(189,a,5412,a(flip),b,7582,a(flip))]. 7584 K(T(x,y) * z,T(x,u * z)) = K(x * z,T(x,u)). [hyper(189,a,6243,a,b,7583,a(flip)),flip(a)]. 7585 K(x * (y \ z),T(x,z)) = K(x * (y \ z),T(x,y)). [para(17(a,1),7583(a,1,2,2))]. 7586 K(x * L(T(y,z),u,w),y) = K(x * L(y,u,w),y). [para(43(a,2),7577(a,1,1,2))]. 7587 T(T(x * K(y * L(x,z,u),x),w),y) = R(T(x,w),y,L(T(x,w),z,u)). [para(7586(a,1),5050(a,1,1,1,2))]. 7588 K(x,T(y,K(L(x,z,u),w) * v5)) = K(x,T(y,v5)). [hyper(189,a,6046,a(flip),b,7576,a)]. 7589 K(x,T(y,K(x,z) * u)) = K(x,T(y,u)). [para(262(a,1),7588(a,1,2,2,1,1))]. 7590 K(x,T(y,z / L(x,u,w))) = K(x,T(y,L(x,u,w) \ z)). [para(4296(a,1),7588(a,1,2,2))]. 7591 K(x,T((K(x,y) * z) / u,z)) = K(x,u \ (K(x,y) * z)). [hyper(5325,a,7589,a),flip(a)]. 7592 K(x,T(y,T(z,x) \ u)) = K(x,T(y,z \ u)). [para(4558(a,1),7589(a,1,2,2))]. 7593 K(x,T(y,z * K(x,u))) = K(x,T(y,z)). [para(6024(a,1),7589(a,1,2,2))]. 7594 K(x,T(y,z * (u * x))) = K(x,T(y,z * (x * u))). [para(5943(a,1),7593(a,1,2,2)),flip(a)]. 7595 K(x,T(y,(z \ (x * u)) \ x)) = K(x,T(y,u \ z)). [hyper(7191,a,7592,a),flip(a)]. 7596 K(x,T(y,(x * z) \ u)) = K(x,T(y,z \ u)). [hyper(7264,a,7595,a)]. 7597 K(x,T(y,(x \ z) \ u)) = K(x,T(y,z \ u)). [para(17(a,1),7596(a,1,2,2,1)),flip(a)]. 7598 K(x,T(y,(z * u) \ ((x * z) * u))) = K(x,T(y,a(x,z,u))). [para(27(a,2),7596(a,1,2,2)),flip(a)]. 7599 K(x,T(y,z \ (x * u))) = K(x,T(y,z \ u)). [hyper(189,a,6997,a(flip),b,7597,a(flip)),flip(a)]. 7600 K(x,T(y,z \ (x \ u))) = K(x,T(y,z \ u)). [para(17(a,1),7599(a,1,2,2,2)),flip(a)]. 7601 T(x,T(y,z \ (x * u))) = x * K(x,T(y,z \ u)). [para(7599(a,1),4396(a,2,2))]. 7602 K(x,T(T(x \ y,z),u \ y)) = K(x,T(T(x \ y,z),u)). [hyper(7248,a,7600,a),flip(a)]. 7603 T(x,T(y,z \ (x * u))) = T(x,T(y,z \ u)). [hyper(189,a,4396,a,b,7601,a)]. 7604 T(x,T(y,z \ (x \ u))) = T(x,T(y,z \ u)). [para(17(a,1),7603(a,1,2,2,2)),flip(a)]. 7605 T(x,T(y \ (x \ z),y \ z)) = T(x,y \ (x \ z)). [para(112(a,1),7604(a,1,2)),flip(a)]. 7606 K(x,(L(T(x,y),z,u) \ w) \ 1) = K(x,w \ L(x,z,u)). [para(43(a,2),7570(a,1,2,1,1))]. 7607 K(x,T(y,z / L(x,u,w))) = K(x,T(y,z)). [hyper(189,a,6796,a(flip),b,7590,a)]. 7609 K(x,T(y,z * (u * x))) = K(x,T(y,z * u)). [para(128(a,1),7607(a,1,2,2)),flip(a)]. 7610 K(x,T(y,z * (x * u))) = K(x,T(y,z * u)). [hyper(189,a,7594,a(flip),b,7609,a(flip)),flip(a)]. 7611 K(x,T(x * y,z * y)) = K(x,T(x * y,z)). [hyper(5498,a,7610,a),flip(a)]. 7612 K(x,T(x * y,z * y)) = K(x,T(y * x,z)). [hyper(189,a,4579,a,b,7611,a)]. 7613 (x * y) / (x * (z \ T(z * y,z))) = L(K(z,T(y * z,x)),y,x). [para(7612(a,1),7053(a,1,1)),flip(a)]. 7614 K(x,T(y / z,y)) = K(x,z \ (K(x,u) * y)). [hyper(7185,a,7591,a)]. 7615 K(x,y \ (K(x,z) * u)) = K(x,y \ u). [hyper(5325,a,7614,a),flip(a)]. 7616 K(x,y \ ((x \ z) * x)) = K(x,y \ z). [para(4293(a,1),7615(a,1,2,2)),flip(a)]. 7617 K(x,y \ (z * x)) = K(x,y \ (x * z)). [para(4373(a,1),7615(a,1,2,2)),flip(a)]. 7618 K(x,T(y \ (K(x,z) * u),w)) = T(K(x,y \ u),w). [para(7615(a,1),5334(a,2,1))]. 7619 K(x,y \ (z * K(u,x))) = K(x,y \ z). [para(6052(a,1),7615(a,1,2,2)),flip(a)]. 7620 K(x,y \ ((x \ 1) * (z * x))) = K(x,y \ z). [para(486(a,2),7616(a,1,2,2))]. 7621 K(x,K(y,z \ (y \ u))) = K(x,K(y,z \ u)). [para(7616(a,1),6897(a,1,2)),flip(a)]. 7622 K(x,y \ (z \ T(u,x))) = K(x,y \ (z \ u)). [para(1077(a,1),7619(a,1,2,2))]. 7623 K(x / y,z \ (x / y)) = K(x / y,z \ (y \ x)). [para(4305(a,1),7619(a,1,2,2))]. 7624 (K(x,K(y,z \ u)) * w) / (y \ w) = T(y,K(x,z \ (y \ u))). [para(7621(a,1),5974(a,1,1,1))]. 7625 K(x,y \ ((T(z,x) / u) \ z)) = K(x,y \ u). [para(69(a,1),7622(a,1,2,2)),flip(a)]. 7626 K(x,((T(y,x) / z) \ 1) \ z) = z \ ((T(y,x) / z) \ y). [hyper(189,a,5509,a(flip),b,7625,a(flip))]. 7627 K(x,T(y \ (K(x,z) * u),w)) = K(x,T(y \ u,w)). [hyper(189,a,5334,a,b,7618,a)]. 7628 K(x / y,z \ (x / y)) = K(y \ x,(z * y) \ x). [hyper(189,a,6895,a(flip),b,7623,a)]. 7629 K(x,T(y \ (z / (z / x)),u)) = K(x,T(y \ x,u)). [para(4345(a,1),7627(a,1,2,1,2)),flip(a)]. 7630 K(x / y,z \ (x / y)) = K(y \ x,y \ (z \ x)). [hyper(189,a,7187,a(flip),b,7628,a)]. 7632 K(x / (x / y),z \ (u / (u / y))) = K(y,T(z \ y,x)). [hyper(6272,a,7629,a)]. 7633 K(x,T(T(x \ y,z),y \ u)) = K(x,T(T(x \ y,z),u)). [hyper(7247,a,7602,a)]. 7634 K(x,y \ L(T(x,z),u,w)) = K(x,y \ L(x,u,w)). [hyper(5259,a,7606,a)]. 7635 K((x \ y) \ T(y,x),z \ L((x \ y) \ T(y,x),u,w)) = K((x \ y) \ T(y,x),z \ L(T(x,x \ y),u,w)). [para(1046(a,1),7634(a,1,2,2,1)),flip(a)]. 7636 K((x \ y) \ T(y,x),z \ L(L(T(x,x \ y),y,x),u,w)) = K((x \ y) \ T(y,x),z \ L((x \ y) \ T(y,x),u,w)). [para(1047(a,1),7634(a,1,2,2,1))]. 7638 K(x,((y / z) \ 1) \ z) = z \ ((T(y,x) / z) \ y). [hyper(189,a,7516,a(flip),b,7626,a(flip)),flip(a)]. 7639 (T(x,y) / z) \ x = z * K(y,((x / z) \ 1) \ z). [para(7638(a,2),17(a,1,2)),flip(a)]. 7640 x * K(y,((z / x) \ 1) \ x) = (1 / x) \ K(y,z). [hyper(189,a,7388,a(flip),b,7639,a(flip))]. 7641 (1 / x) \ K(y,z * x) = x * K(y,(z \ 1) \ x). [para(18(a,1),7640(a,1,2,2,1,1)),flip(a)]. 7642 K(x,(y \ 1) \ z) = K(x,y * z). [hyper(7339,a,7641,a),flip(a)]. 7644 K((x / y) \ x,(x / y) \ (z \ x)) = K(y,T(z \ y,x)). [hyper(189,a,7630,a(flip),b,7632,a(flip)),flip(a)]. 7645 K(x,T(T(x \ y,z),y * u)) = K(x,T(T(x \ y,z),u)). [para(16(a,1),7633(a,1,2,2)),flip(a)]. 7646 K(x,(y / x) \ (z \ y)) = K(x,T(z \ x,y)). [hyper(4628,a,7644,a)]. 7648 K(x,y \ (x * (z \ y))) = K(x,T(z \ x,y)). [hyper(189,a,6362,a(flip),b,7646,a(flip)),flip(a)]. 7649 K(x,y \ ((z \ y) * x)) = K(x,T(z \ x,y)). [hyper(189,a,7617,a,b,7648,a(flip)),flip(a)]. 7650 K(x,T(y \ x,x * z)) = K(x,z \ (y \ (x * z))). [hyper(189,a,7132,a(flip),b,7649,a(flip))]. 7651 K(x,y \ (z \ (x * y))) = K(x,T(z \ x,y)). [hyper(189,a,5421,a(flip),b,7650,a(flip))]. 7652 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(5895(a,1),7651(a,1,2))]. 7653 L(K(x,T(T(x \ y,z),z)),z,y) = (y * (K(x,x \ y) * z)) / (y * z). [para(7645(a,1),6741(a,1,1))]. 7654 K(x,T(y,R(T(x,z * u),z,u))) = K(x,T(y,a(x,z,u))). [para(507(a,1),7598(a,1,2,2))]. 7655 K(x,T(y,a(x,z,u))) = K(x,y). [hyper(6103,a,7654,a),flip(a)]. 7657 T(x,T(y,a(x,z,u))) = x * K(x,y). [para(7655(a,1),4396(a,2,2))]. 7658 T(x,T(y,a(x,z,u))) = T(x,y). [hyper(189,a,4396,a,b,7657,a)]. 7659 (T(x,x \ y) * a(x,z,u)) \ (a(x,z,u) * ((x \ y) \ y)) = K(a(x,z,u),x). [para(7658(a,1),6399(a,1,1,1))]. 7660 T(x,K(y,z \ (x \ u))) = T(x,K(y,z \ u)). [hyper(5977,a,7624,a),flip(a)]. 7661 K(x,y \ (x \ z)) * T(x,K(u,y \ z)) = T(x,T(y \ (x \ z),u)). [para(7660(a,1),6685(a,1,2))]. 7662 R(T(x,y),z,L(T(x,y),u,w)) = R(T(x,y),z,L(x,u,w)). [hyper(189,a,5650,a(flip),b,7587,a(flip))]. 7664 (x * (K(y,y \ x) * z)) / (x * z) = L(K(y,y \ x),z,x). [para(6026(a,1),7653(a,1,1)),flip(a)]. 7666 K(a(x,y,z),T(x,u)) = K(a(x,y,z),x). [hyper(5495,a,7659,a)]. 7667 T(x,y) * (L(T(x,y),z,T(x,y)) \ u) = ((u / L(T(x,y),z,x)) * K(x,y)) * x. [para(6528(a,1),7579(a,1,1,1,2)),flip(a)]. 7669 T(x,y) * (L(T(x,y),z,T(x,y)) \ u) = (u / L(x,z,x)) * x. [para(6525(a,1),7667(a,2,1))]. 7670 T(x,y) * (L(T(x,y),z,T(x,y)) \ u) = x * (L(x,z,x) \ u). [hyper(189,a,7569,a(flip),b,7669,a)]. 7672 T(x,y) * (L(T(x,y),z,x) \ u) = x * (L(x,z,x) \ u). [para(6528(a,1),7670(a,1,2,1))]. 7674 L(x \ y,x,K(y,z)) * (K(y,z) * x) = K(x \ T(y,z),x) * (K(y,z) * y). [para(17(a,1),6872(a,1,2,2)),flip(a)]. 7676 L(x \ y,x,K(y,z)) * (K(y,z) * x) = K(x \ T(y,z),x) * T(y,z). [para(4403(a,2),7674(a,2,2))]. 7677 L(x \ y,x,K(y,z)) * (K(y,z) * x) = (x \ T(y,z)) * x. [hyper(189,a,4291,a(flip),b,7676,a)]. 7678 L(x \ y,x,K(y,z)) * (K(y,z) * x) = T((x \ y) * x,z). [hyper(189,a,4153,a,b,7677,a)]. 7679 L(x \ y,x,K(y,z)) * (K(y,z) * x) != u | T((x \ y) * x,z) = u. [para(7677(a,2),4155(a,1))]. 7680 L(x \ L(y,z,u),x,K(L(y,z,u),y \ w)) * (K(L(y,z,u),w / y) * x) = T((x \ L(y,z,u)) * x,w / y). [para(5416(a,1),7678(a,1,1,3))]. 7681 L(K(x * ((y * z) \ y),x),(y * z) \ y,z * y) = K((z * y) \ (y * (K(z,y) * x)),x). [para(3828(a,1),7085(a,2,1,2))]. 7682 L(K(x,x * (y \ z)),y \ z,z * (y / z)) = K(x,L((z \ y) \ x,y / z,z)). [para(4016(a,1),7090(a,2,2))]. 7683 L(K(x,x * (y \ z)),y \ z,z * (y / z)) = K(x,y \ (z * x)). [hyper(189,a,5933,a(flip),b,7682,a)]. 7684 T(x,y) \ R(T(x,y),y,R(T(x,y),z,u)) = K(R(x,z,u) * y,x) * K(T(x,y),y). [para(7244(a,1),7312(a,1,1)),flip(a)]. 7685 T(x,y) \ R(T(x,y),y,R(T(x,y),z,u)) = K(R(x,z,u) * y,x) * K(x,y). [para(3876(a,1),7684(a,2,2))]. 7686 K(R(x,y,z) * u,x) * K(x,u) = x \ R(x,u,R(T(x,u),y,z)). [hyper(189,a,7536,a(flip),b,7685,a(flip))]. 7688 x \ R(x,y,R(T(x,y),z,u)) = L(x,y,R(x,z,u)) \ x. [hyper(189,a,7198,a(flip),b,7686,a(flip))]. 7689 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(7278(a,1),7412(a,1,2,1))]. 7690 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(4558(a,1),7689(a,1,2))]. 7692 R(K(x,x \ y),z,T(y,K(x,x \ y) * z)) = (y * (K(x,x \ y) * z)) / (y * z). [para(113(a,1),7475(a,2,2))]. 7693 (x * (y * z)) \ ((x * K(z,y)) * (y * z)) = L(K(z,y),T(x,y * z),y * z). [para(113(a,1),7501(a,1,2))]. 7694 L(K(x,y),T(z,y * x),y * x) != u | K(((z / x) * (y * x)) \ (z * (y * x)),y) = u. [para(7693(a,1),5609(a,1))]. 7695 K(x,(y \ 1) \ L(L(x,y,x),z,u)) * (y \ (T(y,x) * L(x,z,u))) = L(L(x,y,x),z,u). [para(5411(a,1),7550(a,1,1))]. 7696 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(189,a,7142,a(flip),b,7652,a(flip)),flip(a)]. 7697 L(K(x * ((y * z) \ y),x),(y * z) \ y,z * y) = K(L(z \ x,T(z,y),y),x). [para(4556(a,1),7681(a,2,1))]. 7698 L(K(x * ((y * z) \ y),x),(y * z) \ y,z * y) = K(z \ x,x). [hyper(189,a,5536,a(flip),b,7697,a)]. 7700 K(L(x,y,z),u \ ((1 / x) \ L(K(x,w),v5,v6))) = K(L(x,y,z),(x \ u) \ 1). [hyper(189,a,7171,a(flip),b,6791,a)]. 7702 K(L(x,y,z),u \ ((1 / x) \ L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). [hyper(189,a,5258,a(flip),b,7700,a)]. 7703 K(L(x,y,z),u \ (x * L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). [para(5900(a,1),7702(a,1,2,2))]. 7704 K((T(x,y) \ z) \ (T(x,y) \ R(x,u,w)),R(x,u,w)) = K(z \ R(x,u,w),R((T(x,y) \ 1) \ K(y,x),u,w)). [para(4350(a,2),6900(a,1,2,1,2)),flip(a)]. 7705 (((x * y) \ x) \ 1) / ((1 / (y * L(y \ 1,y,z))) \ (L(y \ 1,y,x) \ 1)) = 1 / (y * ((z * y) \ z)). [para(5551(a,1),7402(a,1,1))]. 7706 R(R(x,y,z),y * z,L(K(z,u),z,x * y)) = ((x * y) * T(z,u)) / ((y * z) * K(z,u)). [para(4396(a,2),5901(a,2,1,2))]. 7707 R(R(x,y,z),y * z,L(K(z,u),z,x * y)) = ((x * y) * T(z,u)) / (y * T(z,u)). [para(5139(a,1),7706(a,2,2))]. 7708 R(R(x,y,z),y * z,K(z,u)) = ((x * y) * T(z,u)) / (y * T(z,u)). [para(5897(a,1),7707(a,1,3))]. 7709 R(R(x,y,z),y * z,K(z,u)) != w | R(x,y,T(z,u)) = w. [para(7708(a,2),385(a,1))]. 7711 R(x,y,T(x,z)) = R(x,y,x). [hyper(7709,a,6146,a)]. 7715 R(x,y,(x \ z) \ z) = R(x,y,x). [para(114(a,1),7711(a,1,3))]. 7716 R(T(x,x \ y),z,T((x \ y) \ y,u)) = R(T(x,x \ y),z,T(x,x \ y)). [para(525(a,1),7711(a,1,3))]. 7717 x \ R(T(y,y \ z),u,T((y \ z) \ z,w)) = x \ R((y \ z) \ z,u,(y \ z) \ z). [para(7711(a,1),836(a,2,2))]. 7720 R(T(x,x \ y),z,T((x \ y) \ y,u)) = R(T(x,x \ y),z,x). [hyper(189,a,6434,a(flip),b,7716,a)]. 7722 x \ R(T(y,y \ z),u,y) = x \ R((y \ z) \ z,u,(y \ z) \ z). [para(7720(a,1),7717(a,1,2))]. 7723 T(x,x \ y) \ R((x \ y) \ y,z,(x \ y) \ y) = x \ R(x,z,x). [hyper(189,a,6527,a(flip),b,7722,a(flip))]. 7724 L(K(x * y,x) * K(x,K(z * y,y)),y,z) = (z * (T(x * y,x) / T(x,y))) / (z * y). [para(5998(a,1),5989(a,1,1,2))]. 7725 L(K(x * y,x) * K(x,K(y * z,y)),y,z) = (z * (T(x * y,x) / T(x,y))) / (z * y). [para(4617(a,1),7724(a,1,1,2,2))]. 7726 L(K(x * y,x) * K(x,K(y,y * z)),y,z) = (z * (T(x * y,x) / T(x,y))) / (z * y). [para(5983(a,1),7725(a,1,1,2))]. 7727 (x * (T(y * z,y) / T(y,z))) / (x * z) = L(K(y * z,y) * K(y,K(z,x)),z,x). [para(5965(a,1),7726(a,1,1,2)),flip(a)]. 7728 L(K(x * y,x) * K(x,K(y,z)),y,z) = (z * (x \ T(x * y,x))) / (z * y). [para(3977(a,1),7727(a,1,1,2)),flip(a)]. 7729 (x * (y \ T(y * z,y))) / (x * z) = L(K(y * z,T(y,x)),z,x). [para(6367(a,1),7728(a,1,1)),flip(a)]. 7730 L(K(x * y,T(x,z)),y,z) = K((z * y) / (z * (x \ 1)),x). [hyper(189,a,4956,a(flip),b,7729,a(flip))]. 7731 L(K(x * y,T(x,z)),y,z) = K((z * y) / (x \ z),x). [hyper(189,a,6939,a(flip),b,7730,a)]. 7732 L(K(x * y,T(x,z)),y,z) = K((z / (z * y)) \ x,x). [hyper(189,a,7037,a(flip),b,7731,a)]. 7733 L(K(x * y,T(y,z)),x,z) = K((z / (z * x)) \ y,y). [para(4921(a,2),7732(a,1,1))]. 7734 K(x \ R(x,y,z),R(x,x \ R(x,y,z),y * z)) = K(a(x,y,z),x). [hyper(7062,a,7666,a)]. 7735 K(a(x,y,z),x) = 1. [hyper(4922,a,7734,a),flip(a)]. 7736 T(a(x,y,z),x) = a(x,y,z). [hyper(40,a,7735,a)]. 7737 T(x,a(x,y,z)) = x. [hyper(38,a,7736,a)]. 7738 L(x,y,z) * a(x,u,w) = a(x,u,w) * L(x,y,z). [para(7737(a,1),159(a,1,2,1)),flip(a)]. 7739 ((x * L(y,z,u)) * a(y,w,v5)) \ ((x * (a(y,w,v5) * L(y,z,u))) * a(y,w,v5)) = L(a(y,w,v5),L(y,z,u),x). [para(7738(a,1),1266(a,2,2,1,2)),flip(a)]. 7740 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(4692,a,7690,a)]. 7741 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). [para(5380(a,1),7740(a,1,1))]. 7742 K(T(T(x,y),x \ 1),z \ ((T(x,y) \ 1) * y)) = K((x \ 1) \ 1,((x \ 1) * T(y,x)) / z). [para(3536(a,1),6462(a,1,1))]. 7743 K(T(x,y),z \ ((T(x,y) \ 1) * y)) = K((x \ 1) \ 1,((x \ 1) * T(y,x)) / z). [hyper(6318,a,7742,a)]. 7744 K(T(x,y),z \ ((T(x,y) \ 1) * y)) = K(x,((x \ 1) * T(y,x)) / z). [hyper(189,a,2648,a(flip),b,7743,a)]. 7745 K(T(x,y),z \ ((T(x,y) \ 1) * y)) != u | K(x,((x \ 1) * y) / z) = u. [para(7744(a,2),6886(a,1))]. 7746 ((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(3889(a,1),6657(a,1,1,1))]. 7747 (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(4376(a,1),6693(a,1,1))]. 7748 a(x,K(x,y) * z,R(x,u,w)) = a(T(x,y),z,R(x,u,w)). [hyper(553,a,7747,a),flip(a)]. 7749 a(x,K(x,y) * z,R(x,u,w)) != v5 | a(T(x,y),z,R(x,u,w)) = v5. [para(7747(a,1),553(a,1))]. 7750 a(T(x,y),T(x,y) \ z,R(x,u,w)) = a(x,x \ z,R(x,u,w)). [para(4541(a,1),7748(a,1,2)),flip(a)]. 7751 L(K(x,x \ y),z / K(x,x \ y),y) \ (y * z) = T(y * (z * K(x \ y,x)),K(y,x)). [para(6765(a,1),7414(a,2,2))]. 7752 L(K(x,x \ y),z / K(x,x \ y),y) \ (y * z) = y * (K(x \ y,x) * z). [hyper(189,a,7196,a(flip),b,7751,a)]. 7753 L(K(x,x \ y),z * K(x \ y,x),y) \ (y * z) = y * (K(x \ y,x) * z). [para(3890(a,1),7752(a,1,1,2))]. 7754 L(K(x,x \ y),z,y) \ (y * z) = y * (K(x \ y,x) * z). [para(6611(a,1),7753(a,1,1))]. 7755 x * (K(y \ x,y) * z) != u | L(K(y \ x,y),z,x) * (x * z) = u. [para(7754(a,1),5918(a,1))]. 7757 ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = ((K(y,x) * z) * K(x,y)) * K(u,x). [para(2003(a,1),7746(a,1,1,2)),flip(a)]. 7758 ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = T(z,K(x,y)) * K(u,x). [para(3956(a,1),7757(a,2,1))]. 7759 ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = T(z * K(u,x),K(x,y)). [hyper(189,a,6576,a,b,7758,a)]. 7760 (K(x,y) \ z) * (K(x,y) * K(u,x)) = T(z * K(u,x),K(x,y)). [para(2005(a,1),7759(a,1,1,1))]. 7761 (K(x,y) * z) * (K(y,x) * K(u,y)) = T(z * K(u,y),K(y,x)). [para(3889(a,1),7760(a,1,1))]. 7762 (K(x,y) * z) * (K(y,x) * K(u,y)) = T(z * K(u,y),K(x,y)). [hyper(189,a,6118,a,b,7761,a)]. 7763 (K(x,y) * z) * (K(u,y) * K(y,x)) = T(z * K(u,y),K(x,y)). [para(1959(a,1),7762(a,1,2))]. 7764 (K(x,y) * z) * (K(y,x) * K(u,y)) != w | T(z * K(u,y),K(y,x)) = w. [para(7762(a,2),6121(a,1))]. 7765 T(x * K(y,z),K(u,z)) / (K(u,z) * x) = (K(y,z) * K(z,u)) * K(K(u,z) * x,K(y,z) * K(z,u)). [hyper(76,a,7763,a(flip),b,4405,a)]. 7766 K(R(((T(x,y) * y) / x) \ (T(x,y) * y),z,u),T(x,y) * y) = K(R(x,z,u),T(T(x,y) * y,y)). [hyper(189,a,6077,a(flip),b,7057,a)]. 7767 K(R(((T(x,y) * y) / x) \ (T(x,y) * y),z,u),T(x,y) * y) = K(R(x,z,u),T(x * y,y)). [hyper(189,a,5647,a(flip),b,7766,a)]. 7768 K(R(x,y,z),T(x * u,u)) = K(R(x,y,z),T(x,u) * u). [para(69(a,1),7767(a,1,1,1)),flip(a)]. 7769 K(R(x,y,z),T(x * u,u)) = K(R(x,y,z),x * u). [hyper(189,a,5056,a(flip),b,7768,a)]. 7770 K(R(x,y,z),x * L(u,x,u)) = K(R(x,y,z),T(x,u) * u). [para(7565(a,1),7769(a,1,2)),flip(a)]. 7771 K(R(x,y,z),x * L(u,x,u)) = K(R(x,y,z),x * u). [hyper(189,a,5056,a(flip),b,7770,a)]. 7772 K(x,(1 / (y \ T(L(L(x,z,u),w,v5),v6))) \ K(v6,L(L(x,z,u),w,v5))) = K(x,y \ L(L(x,z,u),w,v5)). [hyper(189,a,5411,a(flip),b,7389,a)]. 7773 T(x * K(y,z),K(z,u)) / (K(u,z) * x) = (K(y,z) * K(z,u)) * K(K(u,z) * x,K(y,z) * K(z,u)). [para(6118(a,1),7765(a,1,1))]. 7774 K(x,(1 / (y \ L(T(L(x,z,u),w),v5,v6))) \ K(w,L(L(x,z,u),v5,v6))) = K(x,y \ L(L(x,z,u),v5,v6)). [para(43(a,2),7772(a,1,2,1,2,2))]. 7775 K(x,(1 / (y \ L(L(T(x,z),u,w),v5,v6))) \ K(z,L(L(x,u,w),v5,v6))) = K(x,y \ L(L(x,u,w),v5,v6)). [para(43(a,2),7774(a,1,2,1,2,2,1))]. 7776 K(x,(1 / (y \ L(L(T(x,z),u,w),v5,v6))) \ 1) = K(x,y \ L(L(x,u,w),v5,v6)). [hyper(189,a,7571,a(flip),b,7775,a(flip)),flip(a)]. 7778 K(x,y \ L(L(T(x,z),u,w),v5,v6)) = K(x,y \ L(L(x,u,w),v5,v6)). [para(69(a,1),7776(a,1,2))]. 7780 R(T(x,K(y,z) * K(u,y)),K(y,z),K(u,y)) = T(L(T(x,K(u,y)),K(u,y),K(y,z)),K(y,z)). [para(154(a,1),6563(a,1,1)),flip(a)]. 7781 R(T(x,K(y,z) * K(u,y)),K(y,z),K(u,y)) = T(L(T(x,K(y,u)),K(u,y),K(y,z)),K(y,z)). [para(6118(a,1),7780(a,2,1,1))]. 7782 R(T(x,K(y,z) * K(u,y)),K(y,z),K(u,y)) = L(T(T(x,K(y,u)),K(y,z)),K(u,y),K(y,z)). [hyper(189,a,43,a,b,7781,a)]. 7783 L(T(T(x,K(y,z)),K(y,u)),K(z,y),K(y,u)) = T(x,K(y,u) * K(z,y)). [hyper(189,a,6656,a(flip),b,7782,a(flip))]. 7785 (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(7381(a,1),7384(a,2,2,1,1))]. 7786 (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(189,a,2222,a(flip),b,7785,a)]. 7787 (T(x,y) * R(T(x,y) \ (x * y),z,u)) / (x * y) = R(R(y,z,u) / y,y,x). [para(915(a,1),7786(a,2,1))]. 7788 (T(x,y) * R(T(y,x),z,u)) / (x * y) = R(R(y,z,u) / y,y,x). [para(3528(a,1),7787(a,1,1,2,1))]. 7789 (R(x,y,z) * T(u,x)) / (u * x) = R(R(x,y,z) / x,x,u). [para(3535(a,1),7788(a,1,1))]. 7790 R(R(x,y,x) / x,x,z) = (z * R(x,y,x)) / (z * x). [para(6706(a,1),7789(a,1,1)),flip(a)]. 7791 R(x \ R(x,y,x),x,z) = (z * R(x,y,x)) / (z * x). [para(3252(a,1),7790(a,1,1))]. 7792 ((x * (y * z)) * L(u * (L(z \ 1,z,y) / u),y * z,x)) \ (x * y) = K((x * (y * z)) \ (u \ (x * y)),u). [para(5117(a,2),6786(a,1,1,2))]. 7793 K((x \ y) \ T(y,x),z \ L((x \ y) \ T(y,x),u,w)) = K(x,z \ L(T(x,x \ y),u,w)). [hyper(189,a,6469,a(flip),b,7635,a)]. 7795 K((x \ y) \ T(y,x),z \ L((x \ y) \ T(y,x),u,w)) = K(x,z \ L(x,u,w)). [hyper(189,a,7634,a(flip),b,7793,a)]. 7797 K((T(x,y) \ z) \ (T(x,y) \ R(x,u,w)),R(x,u,w)) = K(z \ R(x,u,w),R(T(x,x \ 1),u,w)). [para(4363(a,1),7704(a,2,2,1))]. 7799 K((T(x,y) \ z) \ (T(x,y) \ R(x,u,w)),R(x,u,w)) != v5 | K(z \ R(x,u,w),R(x,u,w)) = v5. [para(7797(a,2),5330(a,1))]. 7800 ((x * (y * z)) * L(L(u * ((z \ 1) / u),z,y),y * z,x)) \ (x * y) = K((x * (y * z)) \ (u \ (x * y)),u). [para(5117(a,2),7792(a,1,1,2,1))]. 7801 (x * ((y * z) * L(u * ((z \ 1) / u),z,y))) \ (x * y) = K((x * (y * z)) \ (u \ (x * y)),u). [para(102(a,1),7800(a,1,1))]. 7802 (x * (y * (z * (u * ((z \ 1) / u))))) \ (x * y) = K((x * (y * z)) \ (u \ (x * y)),u). [para(102(a,1),7801(a,1,1,2))]. 7803 (x * (y * K(z,u \ (z \ 1)))) \ (x * y) = K((x * (y * u)) \ (z \ (x * y)),z). [para(6782(a,1),7802(a,1,1,2,2))]. 7804 K((x * (y * z)) \ (u \ (x * y)),u) = L(K(z \ (u \ 1),u),y,x). [hyper(5929,a,7803,a),flip(a)]. 7805 K((x * (y * z)) \ (u \ (x * y)),u) = K(L(z * u,y,x) \ 1,u). [hyper(189,a,5586,a(flip),b,7804,a)]. 7806 K(L(x * y,z,u) \ 1,y) = K(L(x,z,u) \ (y \ 1),y). [hyper(189,a,6860,a(flip),b,7805,a(flip))]. 7807 K(x,T(y,R(x,z,u) * w)) = T(v5 * K(T(y,w),x),K(T(y,w),v6)) \ T(v5,K(T(y,w),v6)). [para(7533(a,1),6898(a,1,1,1,2)),flip(a)]. 7808 K(x,T(y,R(x,z,u) * w)) = K(x,T(y,w)). [hyper(189,a,6846,a(flip),b,7807,a)]. 7810 K(x,T(y,R(x,z,u) * w)) = K(x,y) * K(x,K(y,w)). [hyper(189,a,6012,a,b,7808,a)]. 7811 K(x,K(y,R(x,z,u) * w)) = K(x,K(y,w)). [hyper(6020,a,7810,a)]. 7812 K(x,K(y,R(x,z,u) \ w)) = K(x,K(y,w)). [para(17(a,1),7811(a,1,2,2)),flip(a)]. 7813 K(x,K(y,(x * z) * u)) = K(x,K(y,z * u)). [para(110(a,1),7811(a,1,2,2))]. 7814 K(x,K(y,z \ R(x,u,w))) = K(x,K(y,z)). [hyper(7261,a,7812,a)]. 7815 K(x,K(y,R(x,z,u) / w)) = K(x,K(y,w)). [para(69(a,1),7814(a,1,2,2)),flip(a)]. 7816 K(x,K(y,z * R(x,u,w))) = K(x,K(y,z)). [hyper(7260,a,7815,a),flip(a)]. 7817 K(x * R(y,z,u),y) * K(y,K(w,x)) = T(K(x * R(y,z,u),T(y,x)),w). [para(7816(a,1),7267(a,1,2))]. 7818 K(x,K(y,(y * z) * u)) = K(y,K(x,z * u)). [hyper(5967,a,7813,a)]. 7819 K(x,K(y,(y * x) * z)) = K(x,K(y,z)). [hyper(189,a,5994,a(flip),b,7818,a)]. 7820 R((K(x,K(y,z)) * u) / (K(x,y) \ u),y * x,z) = ((y * x) * z) \ ((x * y) * z). [para(7819(a,1),6364(a,1,1,1,1))]. 7821 K(x * R(y,z,u),y) * K(x,K(y,w)) = T(K(x * R(y,z,u),T(y,x)),w). [para(5969(a,1),7817(a,1,2))]. 7823 K(x * R(y,z,u),y) * K(x,K(y,w)) = T(K(x * R(y,z,u),y),w). [para(7243(a,1),7821(a,2,1))]. 7824 ((x * y) * z) \ ((y * x) * z) = R(T(K(y,x),z),x * y,z). [para(5962(a,1),7820(a,1,1)),flip(a)]. 7825 R(T(K(x,y),z),y * x,z) = K((((y * x) * z) \ (y * z)) \ 1,y). [hyper(189,a,5812,a,b,7824,a(flip))]. 7826 R(T(K(x,y),z),y * x,z) = K((y * z) \ ((y * x) * z),y). [hyper(189,a,5209,a(flip),b,7825,a)]. 7827 R(T(K(x,y),z),y * x,z) = K(R(T(x,z),y,z),y). [hyper(189,a,7153,a(flip),b,7826,a)]. 7828 ((x * y) * z) \ ((y * x) * z) = K(R(T(y,z),x,z),x). [hyper(189,a,7824,a,b,7827,a(flip)),flip(a)]. 7829 ((x * y) * z) \ ((y * x) * z) = K(R(y,x,z),T(x,z)). [hyper(189,a,5393,a(flip),b,7828,a)]. 7830 L(x \ L(y,z,u),x,K(L(y,z,u),y \ w)) * (K(L(y,z,u),y \ w) * x) = T((x \ L(y,z,u)) * x,w / y). [para(5416(a,1),7680(a,1,2,1))]. 7831 T((x \ L(y,z,u)) * x,w / y) = T((x \ L(y,z,u)) * x,y \ w). [hyper(7679,a,7830,a),flip(a)]. 7832 T((x \ L(y,y \ z,y)) * x,y \ T(z,y)) != u | T((x \ y) * x,z) = u. [para(7831(a,1),5649(a,1))]. 7833 L(T((x \ y) * x,y \ T(z,y)),y \ z,y) = T((x \ y) * x,z). [hyper(7832,a,5118,a(flip)),flip(a)]. 7834 L(T((x \ y) * x,y \ z),y \ z,y) = T((x \ y) * x,z). [para(6420(a,1),7833(a,1,1))]. 7835 x \ (y * (((z \ y) * z) * (y \ x))) = T((z \ y) * z,x). [hyper(556,a,7834,a)]. 7836 x * T((y \ z) * y,x) = z * (((y \ z) * y) * (z \ x)). [para(7835(a,1),17(a,1,2))]. 7837 x * (((y \ x) * y) * (x \ z)) = ((y \ x) * y) * z. [hyper(205,a,7836,a),flip(a)]. 7839 (((x * (y * x)) / x) / y) * (z / (((x * (y * x)) / x) / y)) = z * K(L(x,T(y,x),x),T(x,y * x) \ z). [para(3726(a,1),6679(a,2,2,1))]. 7840 (((x * (y * x)) / x) / y) * (z / (((x * (y * x)) / x) / y)) = z * K(L(x,T(y,x),x),T(x,x * y) \ z). [para(3507(a,1),7839(a,2,2,2,1))]. 7841 (((x * (y * x)) / x) / y) * (z / (((x * (y * x)) / x) / y)) = z * K(x,T(x,x * y) \ z). [para(6465(a,1),7840(a,2,2))]. 7842 (((x * (y * x)) / x) / y) * (z / (((x * (y * x)) / x) / y)) = z * K(x,x \ z). [para(6186(a,1),7841(a,2,2))]. 7844 (((x * (y * x)) / x) / y) * (z / (((x * (y * x)) / x) / y)) = x * (z / x). [hyper(189,a,3903,a(flip),b,7842,a)]. 7846 L(x,T(y,x),x) * (z / (((x * (y * x)) / x) / y)) = x * (z / x). [para(3726(a,1),7844(a,1,1))]. 7847 L(x,T(y,x),x) * (z / L(x,T(y,x),x)) = x * (z / x). [para(3726(a,1),7846(a,1,2,2))]. 7848 L(x,y,x) * (z / L(x,T(y,x),x)) = x * (z / x). [para(3724(a,1),7847(a,1,1))]. 7849 L(x,y,x) * (z / L(x,y,x)) = x * (z / x). [para(3724(a,1),7848(a,1,2,2))]. 7850 L(x,y,x) * ((z * x) / L(x,y,x)) = x * z. [para(18(a,1),7849(a,2,2))]. 7851 K((x \ y) \ T(y,x),z \ L((x \ y) \ T(y,x),u,w)) = K(x,z \ L(L(T(x,x \ y),y,x),u,w)). [hyper(189,a,6469,a(flip),b,7636,a(flip))]. 7853 K((x \ y) \ T(y,x),z \ L((x \ y) \ T(y,x),u,w)) = K(x,z \ L(L(x,y,x),u,w)). [hyper(189,a,7778,a(flip),b,7851,a)]. 7855 K(x,y \ L(L(x,z,x),u,w)) = K(x,y \ L(x,u,w)). [hyper(189,a,7795,a(flip),b,7853,a(flip))]. 7857 K(x,(y \ 1) \ L(x,z,u)) * (y \ (T(y,x) * L(x,z,u))) = L(L(x,y,x),z,u). [para(7855(a,1),7695(a,1,1))]. 7858 K(x,y * L(x,z,u)) * (y \ (T(y,x) * L(x,z,u))) = L(L(x,y,x),z,u). [para(7642(a,1),7857(a,1,1))]. 7860 K(x,y * L(x,z,u)) * (K(y,x) * L(x,z,u)) = L(L(x,y,x),z,u). [para(4540(a,1),7858(a,1,2))]. 7861 K(x,x \ 1) \ ((1 / ((L(x,y,z) \ x) * L(x,y,z))) * (L(x,y,z) \ x)) = L(x,y,z) \ 1. [para(4101(a,1),5853(a,1,1))]. 7863 K(x,x \ 1) \ ((1 / x) * (L(x,y,z) \ x)) = L(x,y,z) \ 1. [para(5097(a,1),7861(a,1,2,1,2))]. 7864 (x \ 1) * (L(x,y,z) \ x) = L(x,y,z) \ 1. [hyper(2429,a,7863,a)]. 7865 (x \ 1) \ (L(x,y,z) \ 1) = L(x,y,z) \ x. [hyper(75,a,7863,a(flip),b,2428,a(flip))]. 7866 (x \ L(x,y,z)) \ (x \ 1) = (x \ 1) * (L(x,y,z) \ x). [hyper(189,a,5005,a,b,7864,a),flip(a)]. 7867 (x \ (L(x \ 1,y,z) \ 1)) * K(x \ 1,x) = L(x \ 1,y,z) \ (x \ 1). [hyper(2542,a,7865,a)]. 7868 (x \ L(x,y,z)) \ 1 = L(x,y,z) \ x. [hyper(1934,a,7866,a)]. 7869 (x \ L(x,y,z)) * (L(x,y,z) \ x) != u | 1 = u. [para(7868(a,1),203(a,1,2)),flip(b)]. 7870 (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(7867(a,1),3249(a,2,1)),flip(a)]. 7871 (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(7341(a,1),7870(a,1,2))]. 7872 (L(x \ 1,y,z) \ (x \ 1)) \ (L(1 / x,y,z) \ 1) = T(x,x \ (L(x \ 1,y,z) \ 1)). [para(5084(a,1),7871(a,1,2))]. 7873 T(x,x \ (L(x \ 1,y,z) \ 1)) = x. [hyper(189,a,5844,a(flip),b,7872,a(flip))]. 7875 T(x,x \ (((y * x) \ y) \ 1)) = x. [para(140(a,1),7873(a,1,2,2,1))]. 7876 (1 / ((x * y) \ x)) / y = y \ (1 / ((x * y) \ x)). [para(7875(a,1),3459(a,1,2))]. 7877 T((1 / ((x * y) \ x)) * K(y,z),y) = (y \ (1 / ((x * y) \ x))) * T(y,z). [para(7876(a,1),6354(a,2,1))]. 7878 (x * (y * R(x,z,u))) \ (((y * R(x,z,u)) * x) * K(x,y)) = x \ R(x,y,R(x,z,u)). [para(6628(a,1),7311(a,1,1))]. 7879 (x * (y * R(x,z,u))) \ ((y * R(x,z,u)) * T(x,y)) = x \ R(x,y,R(x,z,u)). [para(5139(a,1),7878(a,1,2))]. 7881 (x * (y * R(x,z,u))) \ ((x * y) * R(x,z,u)) = x \ R(x,y,R(x,z,u)). [para(1666(a,1),7879(a,1,2))]. 7882 x \ R(x,y,R(x,z,u)) = a(x,y,R(x,z,u)). [hyper(553,a,7881,a),flip(a)]. 7883 x \ R(x,y,R(x,z,u)) != w | a(x,y,R(x,z,u)) = w. [para(7881(a,1),553(a,1))]. 7884 K(x * R(y,z,u),y) * K(y,x) = a(y,x,R(y,z,u)). [hyper(189,a,7291,a,b,7882,a(flip)),flip(a)]. 7885 x * a(x,y,R(x,z,u)) = R(x,y,R(x,z,u)). [para(7882(a,1),17(a,1,2))]. 7886 R(x,y,R(x,z,u)) \ x = a(x,y,R(x,z,u)) \ 1. [para(7882(a,1),5757(a,1,1)),flip(a)]. 7887 x \ R(T(x,y),z,R(x,u,w)) = K(x,y) * a(x,z,R(x,u,w)). [para(7882(a,1),6738(a,1,2)),flip(a)]. 7888 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(7139(a,2),7882(a,1,2))]. 7889 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(4009(a,1),7886(a,2,1))]. 7890 x \ R(x,y,R(T(x,z),u,w)) != v5 | a(T(x,z),y,R(T(x,z),u,w)) = v5. [para(7536(a,1),7883(a,1))]. 7891 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(7884(a,1),6365(a,1,1)),flip(a)]. 7892 T(x,y) \ R(T(x,y),z,R(x,u,w)) = a(x,z,R(x,u,w)). [hyper(4607,a,7887,a)]. 7893 K(x,y) * (K(y,x) * a(y,z,R(y,u,w))) = y \ R(y,z,R(T(y,x),u,w)). [para(7887(a,1),7537(a,1,2))]. 7894 ((x \ y) \ y) \ R((x \ y) \ y,z,R(x,u,w)) = a(x,z,R(x,u,w)). [hyper(4892,a,7892,a)]. 7895 T(x,y) * a(x,z,R(x,u,w)) = R(T(x,y),z,R(x,u,w)). [para(7892(a,1),17(a,1,2))]. 7896 a(x,K(x,y) * z,R(x,u,w)) = x \ (v5 \ ((R(x,z,R(x,u,w)) * (x \ v5)) * x)). [hyper(189,a,7166,a(flip),b,7894,a(flip))]. 7897 x \ R(x,y,R(T(x,z),u,w)) = a(x,y,R(x,u,w)). [hyper(3914,a,7893,a)]. 7898 a(T(x,y),z,R(T(x,y),u,w)) = a(x,z,R(x,u,w)). [hyper(7890,a,7897,a)]. 7900 L(x,y,R(x,z,u)) \ x = a(x,y,R(x,z,u)). [hyper(189,a,7688,a(flip),b,7897,a(flip)),flip(a)]. 7902 a(x,y,R(x,z,u)) \ x = L(x,y,R(x,z,u)). [para(7900(a,1),5098(a,1,1))]. 7903 a(x,y,R(x,z,u)) * T(K(y,x),w) = T(K(y * R(x,z,u),x),w). [hyper(189,a,7823,a(flip),b,7891,a(flip))]. 7904 T(K(x * R(y,z,u),y),w) * T(K(y,x),w) = a(y,x,R(y,z,u)). [hyper(6635,a,7903,a)]. 7905 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(7883,a,7888,a)]. 7906 a(T(x,y),T(y,x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(189,a,5822,a(flip),b,7905,a(flip))]. 7907 a(x,y,R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(4010,a,7906,a)]. 7908 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(7139(a,1),7889(a,1,1))]. 7909 R(T(x,y),y,R(T(x,y),z,u)) \ T(x,y) = a(R(x,z,u),y,x) \ 1. [para(7907(a,1),7908(a,2,1))]. 7910 a(T(x,y),y,R(T(x,y),z,u)) \ 1 = a(R(x,z,u),y,x) \ 1. [hyper(189,a,7886,a(flip),b,7909,a(flip)),flip(a)]. 7911 a(R(x,y,z),u,x) \ 1 = a(x,u,R(x,y,z)) \ 1. [para(7898(a,1),7910(a,1,1)),flip(a)]. 7913 a(T(x,y),z,R(x,u,w)) = x \ (v5 \ ((R(x,z,R(x,u,w)) * (x \ v5)) * x)). [hyper(7749,a,7896,a)]. 7916 a(T(x,y),z,R(x,u,w)) = x \ (v5 \ ((x * (x \ v5)) * R(x,z,R(x,u,w)))). [para(7181(a,1),7913(a,2,2,2))]. 7917 a(T(x,y),z,R(x,u,w)) = x \ (v5 \ (v5 * R(x,z,R(x,u,w)))). [para(17(a,1),7916(a,2,2,2,1))]. 7918 a(T(x,y),z,R(x,u,w)) = x \ R(x,z,R(x,u,w)). [para(16(a,1),7917(a,2,2))]. 7920 a(T(x,y),z,R(x,u,w)) = a(x,z,R(x,u,w)). [hyper(189,a,7882,a(flip),b,7918,a)]. 7921 a(x,T(y,x),R(x,z,u)) = a(x,y,R(x,z,u)). [hyper(4010,a,7920,a),flip(a)]. 7922 a(x,T(x,y) \ z,R(x,u,w)) = a(x,x \ z,R(x,u,w)). [hyper(189,a,7750,a(flip),b,7920,a(flip))]. 7924 ((K((x * y) / (x * (z \ y)),u) \ 1) \ 1) \ (x * (K(z,u) * y)) = (x * (K(z,u) * y)) * ((L(K(u,T(z,y)),y,x) \ 1) \ 1). [para(4957(a,2),5936(a,1,1,1,1))]. 7925 (x * y) \ ((y * K(x,z)) * R(x,y,K(x,z))) = K(x,z) * K(y * K(x,z),R(x,y,K(x,z))). [para(6656(a,1),6149(a,1,1))]. 7926 K(x,y) * K(z * K(x,y),R(x,z,K(x,y))) = (x * z) \ ((z * K(x,y)) * x). [para(6140(a,1),7925(a,1,2,2)),flip(a)]. 7928 K(x,y) * K(z * K(x,y),R(x,z,K(x,y))) = (x * z) \ (z * T(x,y)). [para(5132(a,1),7926(a,2,2))]. 7929 (x * y) \ (y * T(x,z)) = K(x,z) * K(y * K(x,z),x). [para(6140(a,1),7928(a,1,2,2)),flip(a)]. 7930 (x * y) \ (y * T(x,z)) = K(x,z) * K(y,x). [para(6197(a,1),7929(a,2,2))]. 7931 (x * (y * L(x,z,u))) \ ((y * L(x,z,u)) * T(x,y)) = x \ R(x,y,L(x,z,u)). [hyper(189,a,7043,a(flip),b,7930,a)]. 7932 K(T(x,y),y) * K(L(x,z,u) * y,T(x,y)) = a(T(x,y),y,L(T(x,y),z,u)). [hyper(189,a,2083,a(flip),b,7930,a(flip))]. 7933 (x * y) \ (y * T(x,z)) != u | K(y,x) * K(x,z) = u. [para(7930(a,2),1962(a,1))]. 7935 K(x,y) * K(y,y \ x) = a(y,x / y,y). [hyper(7933,a,3566,a)]. 7937 x \ T(y * (x / y),y) = a(y,x / y,y). [hyper(189,a,6355,a,b,7935,a(flip)),flip(a)]. 7938 a(x,(y * x) / x,x) = (y * x) \ T(x * y,x). [para(18(a,1),7937(a,1,2,1,2)),flip(a)]. 7939 a(x,(y * x) / x,x) = K(x,y) * K(x * y,x). [hyper(189,a,7184,a(flip),b,7938,a)]. 7940 K(x,y) * K(x * y,x) = a(x,y,x). [para(18(a,1),7939(a,1,2)),flip(a)]. 7941 x \ R(x,y,x) = a(x,y,x). [hyper(189,a,4686,a(flip),b,7940,a(flip)),flip(a)]. 7942 K(x,y) * a(y,x,y) != z | K(y * x,y) = z. [para(7940(a,1),3914(a,1,2)),flip(b)]. 7943 K(x,x * y) * a(x,y,x) = K(x,y). [para(7940(a,1),3906(a,1,2))]. 7944 T(x * y,x) / x = y * a(x,y,x). [para(7940(a,1),5314(a,1,2)),flip(a)]. 7945 (x / y) * a(y,z,y) = x / L(y,z,y). [para(7940(a,1),6735(a,1,2))]. 7946 K(x * y,x) * (K(x,y) * z) = z * a(x,y,x). [para(7940(a,1),6864(a,2,2))]. 7947 a(x,y * K(x,z),x) = x \ R(x,y,x). [hyper(189,a,6745,a(flip),b,7941,a(flip))]. 7948 x * a(x,y,x) = R(x,y,x). [para(7941(a,1),17(a,1,2))]. 7950 a(x,y,x) * x = R(x,y,x). [para(7941(a,1),3253(a,1,1))]. 7951 (x * R(y,z,y)) / (x * y) = R(a(y,z,y),y,x). [para(7941(a,1),7791(a,1,1)),flip(a)]. 7952 x \ R(x,y,x) != z | a(x,y,x) = z. [para(7948(a,1),237(a,1,2)),flip(b)]. 7953 (x * a(y,z,y)) / R(y,z,y) != u | R(x / y,y,a(y,z,y)) = u. [para(7948(a,1),451(a,1,2))]. 7954 K(x * y,x) * K(x,y) != z | a(x,y,x) = z. [para(7943(a,1),3914(a,1,2)),flip(b)]. 7955 (x * y) \ (y * (T(z * T(x,y),z) / z)) = L(a(z,T(x,y),z),T(x,y),y). [para(7944(a,2),153(a,1,2,2))]. 7956 (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(7944(a,2),347(a,1,2,2))]. 7957 (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) != w | L(L(a(u,z,u),z,y),y * z,x) = w. [para(7944(a,2),646(a,1,2,2,2))]. 7958 R(T(a(x,y,x),y * z),T(y,a(x,y,x)),z) = (T(y,a(x,y,x)) * z) \ ((T(x * y,x) / x) * z). [para(7944(a,2),6190(a,1,2,1)),flip(a)]. 7959 (x * y) / L(y,z,y) = x * a(y,z,y). [para(18(a,1),7945(a,1,1)),flip(a)]. 7960 a(x,y,T(x,z)) = x \ R(x,y,x). [hyper(6889,a,7947,a)]. 7961 a(x,y,T(x,z)) != u | a(x,y,x) = u. [para(7960(a,2),7952(a,1))]. 7962 (x / L(y,z,y)) * y = x * a(y,z,y). [hyper(1265,a,7959,a)]. 7963 L(x,y,x) * (z * a(x,y,x)) = x * z. [para(7959(a,1),7850(a,1,2))]. 7964 x * (L(x,y,x) \ z) = z * a(x,y,x). [hyper(189,a,7569,a(flip),b,7962,a(flip)),flip(a)]. 7965 L(x,y,x) \ 1 = x \ a(x,y,x). [hyper(75,a,14,a(flip),b,7964,a),flip(a)]. 7966 T(x,y) * (L(T(x,y),z,x) \ u) = u * a(x,z,x). [hyper(189,a,7672,a,b,7964,a(flip)),flip(a)]. 7967 T(x,y) * (L(T(x,y),z,x) \ u) = u * a(T(x,y),z,T(x,y)). [para(6528(a,1),7964(a,1,2,1))]. 7968 K(R(L(x,y,x),x \ a(x,y,x),z),u) = K(L(x,y,x),u). [para(7965(a,1),5752(a,1,1,2))]. 7969 K(x,x * y) * (z * a(x,y,x)) = K(x,y) * z. [hyper(3907,a,7946,a)]. 7970 K(x,x * y) * z != K(x,y) * u | u * a(x,y,x) = z. [para(7969(a,1),22(a,1)),flip(a)]. 7971 T(x,y) * (L(T(x,y),z,x) \ u) != u * w | a(x,z,x) = w. [para(7966(a,2),22(a,1))]. 7972 K(x,y) * (z * a(y,u,y)) = y * (L(T(y,x),u,y) \ z). [para(7966(a,1),4383(a,1,2))]. 7973 K(R(x,x \ a(x,y,x),z),u) = K(L(x,y,x),u). [hyper(189,a,7578,a(flip),b,7968,a(flip)),flip(a)]. 7974 K(R(x,x \ a(x,y,x),z),u) = K(x,u). [hyper(189,a,6465,a(flip),b,7973,a)]. 7977 R(K(x,y),a(x,z,x),u) = K(x,y). [hyper(189,a,5749,a(flip),b,7974,a(flip)),flip(a)]. 7978 (K(x,y) * a(x,z,x)) * u = K(x,y) * (a(x,z,x) * u). [para(7977(a,1),110(a,1,1)),flip(a)]. 7979 K(x,x * y) * (a(x,y,x) * z) = K(x,y) * z. [para(7943(a,1),7978(a,1,1)),flip(a)]. 7980 a(x,y,x) * z = z * a(x,y,x). [hyper(7970,a,7979,a),flip(a)]. 7981 (a(x,y,x) \ z) * a(x,y,x) = z. [hyper(203,a,7980,a)]. 7982 T(x,a(y,z,y)) = x. [hyper(149,a,7980,a)]. 7983 T(a(x,y,x),z) = a(x,y,x). [hyper(147,a,7980,a,b,xx)]. 7984 a(x,y,x) * K(y,x) = K(x * y,x). [hyper(7942,a,7980,a(flip)),flip(a)]. 7985 a(x,y,x) * z != z * u | a(x,y,x) = u. [para(7980(a,2),22(a,1))]. 7988 (x * (y * a(z,u,z))) \ (x * (a(z,u,z) * (y * w))) = L(L(w,y,a(z,u,z)),a(z,u,z) * y,x). [para(7980(a,1),348(a,1,1,2))]. 7989 (x * (y * a(z,u,z))) \ ((x * a(z,u,z)) * (L(y,a(z,u,z),x) * w)) = L(w,L(y,a(z,u,z),x),x * a(z,u,z)). [para(7980(a,1),347(a,1,1,2))]. 7990 K(x,a(y,z,y)) = 1. [hyper(39,a,7982,a)]. 7992 x * K(y,a(z,u,z)) != w | x = w. [para(7990(a,2),86(a,1,2))]. 7993 x * a(y,z,y) != u | a(y,z,y) * x = u. [para(7983(a,1),205(a,1,2))]. 7994 R(a(x,y,x),z,u) * w = w * R(a(x,y,x),z,u). [para(7983(a,1),160(a,1,2,1)),flip(a)]. 7995 (a(x,y,x) \ 1) \ z = z * a(x,y,x). [hyper(75,a,7981,a(flip),b,486,a)]. 7996 x * (a(x,y,x) \ z) = L(x,y,x) * z. [para(7981(a,1),7963(a,1,2)),flip(a)]. 7998 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(5412(a,1),7984(a,1,2))]. 7999 a(x,y,x) \ 1 = x \ L(x,y,x). [hyper(75,a,15,a(flip),b,7996,a),flip(a)]. 8000 (x \ L(x,y,x)) \ z = z * a(x,y,x). [para(7999(a,1),7995(a,1,1))]. 8001 (a(x,y,x) \ 1) \ z != u | a(x,y,x) * z = u. [para(7995(a,2),7993(a,1))]. 8002 T(x,R(a(y,z,y),u,w)) = x. [hyper(149,a,7994,a)]. 8003 a(T(x,y),z,T(x,y)) = a(x,z,x). [hyper(7971,a,7967,a),flip(a)]. 8005 (x * y) \ (y * T(T(z * x,z) / z,y)) = L(a(z,T(x,y),z),T(x,y),y). [para(1218(a,1),7955(a,1,2,2))]. 8006 L(a(x,T(y,z),x),T(y,z),z) = (y * z) \ ((T(x * y,x) / x) * z). [para(113(a,1),8005(a,1,2)),flip(a)]. 8007 K(x,y) * K(L(x,z,u) * y,T(x,y)) = a(T(x,y),y,L(T(x,y),z,u)). [para(3876(a,1),7932(a,1,1))]. 8008 a(T(x,y),y,L(T(x,y),z,u)) = K(x,y) * K(L(x,z,u) * y,x). [para(7034(a,1),8007(a,1,2)),flip(a)]. 8009 a(T(x,y),y,L(T(x,y),z,u)) = L(x,y,L(x,z,u)) \ x. [hyper(189,a,7041,a(flip),b,8008,a)]. 8010 (x * (y * L(x,z,u))) \ ((x * y) * L(x,z,u)) = x \ R(x,y,L(x,z,u)). [para(1270(a,1),7931(a,1,2))]. 8011 x \ R(x,y,L(x,z,u)) = a(x,y,L(x,z,u)). [hyper(553,a,8010,a),flip(a)]. 8012 K(x,y) * K(y * L(x,z,u),x) = a(x,y,L(x,z,u)). [hyper(7044,a,8011,a)]. 8013 K(x,y) * R(x,z,L(x,u,w)) = T(x,y) * a(x,z,L(x,u,w)). [para(8011(a,1),4377(a,1,2)),flip(a)]. 8014 T(x,y) \ R(T(x,y),z,L(x,u,w)) = a(T(x,y),z,L(T(x,y),u,w)). [para(7662(a,1),8011(a,1,2))]. 8015 K(x,y) * K(y,x * L(y,z,u)) = a(y,x,L(y,z,u)) \ 1. [para(8012(a,1),7060(a,1,1)),flip(a)]. 8016 (x / (y * K(z,y))) * R(y * K(z,y),z,L(y,u,w)) = x * a(y,z,L(y,u,w)). [para(8012(a,1),6641(a,2,2))]. 8017 T(x,y) * a(x,z,L(x,u,w)) = R(T(x,y),z,L(x,u,w)). [hyper(6731,a,8013,a),flip(a)]. 8018 T(x,y) \ R(T(x,y),z,L(x,u,w)) != v5 | a(x,z,L(x,u,w)) = v5. [para(8017(a,1),237(a,1,2)),flip(b)]. 8019 a(T(x,y),z,L(T(x,y),u,w)) != v5 | a(x,z,L(x,u,w)) = v5. [para(8014(a,1),8018(a,1))]. 8020 L(x,y,L(x,z,u)) \ x = a(x,y,L(x,z,u)). [hyper(8019,a,8009,a),flip(a)]. 8021 a(x,y,L(x,z,u)) \ x = L(x,y,L(x,z,u)). [para(8020(a,1),5098(a,1,1))]. 8022 ((x / y) * K(y,z)) * R(y * K(z,y),z,L(y,u,w)) = x * a(y,z,L(y,u,w)). [para(5207(a,1),8016(a,1,1))]. 8023 ((x / y) * K(y,z)) * (y * K(z * L(y,u,w),y)) = x * a(y,z,L(y,u,w)). [para(5045(a,1),8022(a,1,2))]. 8024 (x / y) * (T(y,z) * K(z * L(y,u,w),y)) = x * a(y,z,L(y,u,w)). [hyper(189,a,6740,a(flip),b,8023,a(flip)),flip(a)]. 8025 (x / y) * R(y,z,L(y,u,w)) = x * a(y,z,L(y,u,w)). [para(7039(a,1),8024(a,1,2))]. 8026 K(T(x,y * z) * z,T(x,y * z)) = a(x,z,x) * K(z,T(x,y)). [para(8003(a,1),7998(a,1,1)),flip(a)]. 8027 a(x,y,x) * K(y,T(x,z)) = K(x * y,T(x,z)). [hyper(189,a,7584,a(flip),b,8026,a(flip))]. 8029 K(x * y,T(x,z)) * K(x,T(y,z)) = a(x,y,x). [hyper(5404,a,8027,a)]. 8031 R(T(a(x,y,x),y * z),T(y,a(x,y,x)),z) = (y * z) \ ((T(x * y,x) / x) * z). [para(7982(a,1),7958(a,2,1,1))]. 8032 R(a(x,y,x),T(y,a(x,y,x)),z) = (y * z) \ ((T(x * y,x) / x) * z). [para(7983(a,1),8031(a,1,1))]. 8033 (x * y) \ ((T(z * x,z) / z) * y) = R(a(z,x,z),x,y). [para(7982(a,1),8032(a,1,2)),flip(a)]. 8035 L(a(x,T(y,z),x),T(y,z),z) = R(a(x,y,x),y,z). [hyper(189,a,8006,a,b,8033,a(flip)),flip(a)]. 8036 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(4374(a,1),8035(a,1,1,2)),flip(a)]. 8037 R(a(x,y * K(z,y),x),y * K(z,y),z) = L(a(x,y,x),y,z). [para(4374(a,1),8036(a,2,2))]. 8038 (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(1357(a,2),7956(a,1,2,2))]. 8039 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(102(a,1),8038(a,1,2)),flip(a)]. 8040 K(R(x,y,z),x * L(u,x,u)) * ((x * (L(u,x,u) * R(x,y,z))) / (x * L(u,x,u))) = L(R(x,y,z),u,x). [para(7572(a,1),6869(a,1,1))]. 8042 K(R(x,y,z),x * u) * ((x * (L(u,x,u) * R(x,y,z))) / (x * L(u,x,u))) = L(R(x,y,z),u,x). [para(7771(a,1),8040(a,1,1))]. 8043 K(R(x,y,z),x * u) * R((x * (L(u,x,u) * x)) / (x * L(u,x,u)),y,z) = L(R(x,y,z),u,x). [para(1690(a,2),8042(a,1,2))]. 8044 K(R(x,y,z),x * u) * R(x * K(L(u,x,u),x),y,z) = L(R(x,y,z),u,x). [para(4473(a,1),8043(a,1,2,1))]. 8045 K(R(x,y,z),x * u) * R(x * K(u,x),y,z) = L(R(x,y,z),u,x). [para(5409(a,1),8044(a,1,2,1,2))]. 8046 K(R(K(x \ y,x),y,z),K(x \ y,x) * u) * R(K(x \ y,x) * K(u,K(x \ y,x)),y,z) = L((y * z) / ((x * (y / x)) * z),u,K(x \ y,x)). [para(5675(a,2),8045(a,2,1))]. 8048 (K(x,(y * z) / (y * (u \ z))) \ 1) \ (y * (K(u,x) * z)) = (y * (K(u,x) * z)) * ((L(K(x,T(u,z)),z,y) \ 1) \ 1). [para(3871(a,1),7924(a,1,1,1))]. 8049 K(x,(y * z) / (y * (u \ z))) * (y * (K(u,x) * z)) = (y * (K(u,x) * z)) * ((L(K(x,T(u,z)),z,y) \ 1) \ 1). [hyper(3860,a,8048,a)]. 8050 K(x,(y * z) / (y * (u \ z))) * (y * (K(u,x) * z)) = (y * (K(u,x) * z)) * L(K(x,T(u,z)),z,y). [para(2194(a,1),8049(a,2,2))]. 8051 K(x,(y * z) / (y * (u \ z))) * (y * (K(u,x) * z)) = y * z. [hyper(189,a,5931,a(flip),b,8050,a)]. 8052 K(x,(y * z) / (y * (u \ z))) = (y * z) / (y * (K(u,x) * z)). [hyper(76,a,5931,a(flip),b,8050,a),flip(a)]. 8054 K(x,y) * (R(y,z,u) * (K(y,x) * w)) = R(y,z,u) * w. [para(923(a,1),8051(a,1,1,2))]. 8055 (x * (K(y,z) * u)) / (x * u) != w | K((x * u) / (x * (y \ u)),z) = w. [para(8051(a,1),3910(a,1,2))]. 8056 R(K(x,y),z * (K(u,x) * w),v5) = R(K(x,y),z * w,v5). [para(8051(a,1),5767(a,1,2)),flip(a)]. 8057 K(x,y \ (z * (K(u,x) * w))) = K(x,y \ (z * w)). [para(8051(a,1),7615(a,1,2,2)),flip(a)]. 8058 K(x,y \ (z * ((x \ u) * x))) = K(x,y \ (z * u)). [para(4291(a,1),8057(a,1,2,2,2))]. 8059 K(x / y,z \ (u * (y * (x / y)))) = K(x / y,z \ (u * x)). [para(4324(a,1),8057(a,1,2,2,2))]. 8060 K(x,y \ ((x \ 1) * z)) = K(x,y \ (x \ z)). [hyper(189,a,7620,a(flip),b,8058,a(flip))]. 8061 K(x \ 1,y \ ((x \ 1) \ z)) = K(x \ 1,y \ (x * z)). [hyper(189,a,7451,a(flip),b,8060,a(flip))]. 8062 K(1 / x,y \ ((1 / x) \ z)) = K(1 / x,y \ (x * z)). [para(69(a,1),8060(a,1,2,2,1)),flip(a)]. 8063 K(T(x,y),z \ (T(x,y) \ y)) != u | K(x,((x \ 1) * y) / z) = u. [para(8060(a,1),7745(a,1))]. 8064 R(x,y,z) * (K(x,u) * w) = K(x,u) * (R(x,y,z) * w). [hyper(3907,a,8054,a),flip(a)]. 8065 R(x,y,z) * (K(u,x) * w) = K(u,x) * (R(x,y,z) * w). [para(3887(a,1),8054(a,1,2,2)),flip(a)]. 8066 R(K(x,y),z * (u * K(w,x)),v5) = R(K(x,y),z * u,v5). [para(6051(a,1),8056(a,1,2,2))]. 8067 K(L(x,y,z) \ 1,(u \ w) \ ((x \ 1) \ 1)) = L(K(x \ 1,w \ (x * u)),y,z). [para(8061(a,1),6858(a,2,1))]. 8068 K(1 / x,y \ (x * z)) = K(x \ 1,(z \ y) \ x). [hyper(6861,a,8062,a),flip(a)]. 8069 K(x \ 1,(y \ z) \ x) != u | K(x \ 1,z \ (x * y)) = u. [para(8068(a,1),4254(a,1))]. 8070 K(x,y) * (R(x,z,x) * u) = R(T(x,y),z,x) * u. [hyper(189,a,6538,a(flip),b,8064,a(flip))]. 8071 R(x,y,x) * (K(z,x) * (x \ u)) = K(z,x) * ((u / x) * R(x,y,x)). [para(6710(a,1),8065(a,2,2))]. 8072 R(K(x,y),z * y,u) = K(x,R(y * K(w,x),z,u)). [hyper(6753,a,8066,a),flip(a)]. 8073 K(x,R(y * K(z,x),u,w)) = K(x,R(y,u,w)). [hyper(6750,a,8072,a),flip(a)]. 8074 R(K(x,y),(y * K(z,x)) * u,w) = K(x,R(y,u,w)). [hyper(189,a,6184,a,b,8073,a(flip)),flip(a)]. 8076 K(x,R(R(y,K(z,x),u),K(z,x) * u,w)) = K(x,R(y,u,w)). [hyper(189,a,6603,a(flip),b,8074,a(flip)),flip(a)]. 8078 K(x,R(y,K(z,x) * u,w)) = K(x,R(y,u,w)). [hyper(189,a,6602,a(flip),b,8076,a(flip)),flip(a)]. 8080 K(R(x,K(y,z) * u,w),z) = (v5 * K(z,R(x,u,w))) \ v5. [para(8078(a,1),3918(a,1,1,2)),flip(a)]. 8081 K(R(x,K(y,z) * u,w),z) = K(R(x,u,w),z). [hyper(189,a,3918,a(flip),b,8080,a)]. 8082 K(R(x,T(y,z),u),y) = K(R(x,y,u),y). [para(4370(a,1),8081(a,1,1,2)),flip(a)]. 8083 K(R(x,T(y,z),u),T(y,w)) = T(y,w) \ T(y * K(R(x,y,u),y),w). [para(8082(a,1),4658(a,1,2,1,2)),flip(a)]. 8084 K(T(x,y),z \ (x \ y)) = K(x,((x \ 1) * y) / z). [hyper(8063,a,7114,a),flip(a)]. 8085 K(x,((x \ 1) * y) / z) = K(x,y / (z * x)). [hyper(189,a,6449,a(flip),b,8084,a(flip))]. 8086 K(x,(y * z) / (((x \ 1) * z) * x)) = K(x,L(y,z,x \ 1)). [hyper(7155,a,8085,a),flip(a)]. 8087 K(x,(y * z) / L(z,x \ 1,x)) = K(x,L(y,z,x \ 1)). [hyper(189,a,6760,a(flip),b,8086,a(flip)),flip(a)]. 8088 K(x,(y * z) / L(z,x \ 1,x)) = K(x,y). [hyper(189,a,7002,a(flip),b,8087,a)]. 8090 K(x,y / L(z,x \ 1,x)) = K(x,y / z). [para(19(a,1),8088(a,1,2,1))]. 8091 K(x,y / (((x \ 1) * z) * x)) = K(x,y / z). [hyper(189,a,6760,a,b,8090,a(flip)),flip(a)]. 8092 K(x,y / ((x \ 1) \ z)) = K(x,y / (z * x)). [para(17(a,1),8091(a,1,2,2,1)),flip(a)]. 8093 R(K(x,(y / z) / (u * x)),y / z,z) = K(x,y / (((x \ 1) \ u) * z)). [para(8092(a,1),5678(a,1,1))]. 8094 K(x,y) * ((z / y) * R(y,u,y)) = R(y,u,y) * (T(y,x) \ z). [para(4558(a,1),8071(a,1,2)),flip(a)]. 8095 K(R(x,T(y,z),u),T(y,w)) != v5 | K(R(x,y,u),T(y,w)) = v5. [para(8083(a,2),4791(a,1))]. 8096 L(K(x,T(T(y,z),u * z)),z,u) != w | K((u * z) / (u * (x \ z)),y) = w. [para(6741(a,2),8055(a,1))]. 8097 K(x,y / (((x \ 1) \ z) * u)) = K(x,y / ((z * x) * u)). [hyper(189,a,5678,a(flip),b,8093,a(flip))]. 8098 K(x,y / ((z / (x \ 1)) * u)) = K(x,y / ((z * x) * u)). [hyper(189,a,6942,a,b,8097,a(flip)),flip(a)]. 8099 K(x \ 1,y / ((z * (x \ 1)) * u)) = K(x \ 1,y / ((x \ z) * u)). [hyper(189,a,7454,a(flip),b,8097,a(flip))]. 8100 K((x \ 1) \ 1,y / ((z / (x \ 1)) * u)) = K(x,y / ((z * x) * u)). [hyper(4282,a,8098,a)]. 8101 K(x \ 1,y / ((z * (x \ 1)) * u)) = K(x \ 1,y / ((z / x) * u)). [hyper(189,a,7461,a(flip),b,8098,a(flip))]. 8102 K(x \ 1,y / ((z / x) * u)) = K(x \ 1,y / ((x \ z) * u)). [hyper(189,a,8099,a(flip),b,8101,a(flip))]. 8103 (x * y) / (x * (K(z,u) * y)) != w | K((x * y) / (x * (u \ y)),z) = w. [para(7054(a,1),8096(a,1))]. 8104 K((x * y) / (x * (z \ y)),u) = K(z,(x * y) / (x * (u \ y))). [hyper(8103,a,8052,a(flip))]. 8105 K(x,(y * z) / (y * (u \ z))) = (y * (K(x,u) * z)) / (y * z). [hyper(189,a,4957,a(flip),b,8104,a(flip))]. 8106 R(K(x,x \ y),z,T(y,K(x,x \ y) * z)) = K(x,(y * z) / (y * ((x \ y) \ z))). [hyper(189,a,7692,a,b,8105,a),flip(a)]. 8107 K(x,(y * z) / (y * ((x \ y) \ z))) = L(K(x,x \ y),z,y). [hyper(189,a,7664,a(flip),b,8105,a)]. 8108 K(L(x,y,z) \ 1,(u \ w) \ ((x \ 1) \ 1)) = K(L(x,y,z) \ 1,w \ (x * u)). [hyper(189,a,4824,a(flip),b,8067,a)]. 8109 K(L(x,y,z) \ 1,(u \ w) \ x) = K(L(x,y,z) \ 1,w \ (x * u)). [hyper(189,a,7439,a(flip),b,8108,a(flip)),flip(a)]. 8110 K(x,(y * z) / (y * ((x \ y) \ z))) = R(K(x,x \ y),z,T(y,z)). [para(7474(a,1),8106(a,1,3)),flip(a)]. 8111 R(K(x,x \ y),z,T(y,z)) = L(K(x,x \ y),z,y). [hyper(189,a,8107,a(flip),b,8110,a(flip))]. 8113 R(T(K(x,x \ y),z),u,T(y,u)) = T(L(K(x,x \ y),u,y),z). [para(8111(a,1),45(a,2,1))]. 8114 R(K(x,y),z,T(y * x,z)) = L(K(x,x \ (y * x)),z,y * x). [para(3891(a,1),8111(a,1,1))]. 8115 L(K(x,x \ y),z,y) \ K(R(K(x,x \ y),z,T(y,z)),u) = R(K(x,x \ y) * K(u,K(x,x \ y)),z,T(y,z)) \ 1. [para(8111(a,1),4745(a,1,1))]. 8116 R(T(K(x,x \ y),z),u,T(y,u)) = L(T(K(x,x \ y),z),u,y). [hyper(189,a,43,a,b,8113,a)]. 8117 R(K(x,y),z,T(y * x,z)) = L(K(x,y),z,y * x). [para(3891(a,1),8114(a,2,1))]. 8118 ((K(x,y) * z) * T(y * x,z)) / (z * T(y * x,z)) = L(K(x,y),z,y * x). [hyper(189,a,33,a(flip),b,8117,a(flip)),flip(a)]. 8119 R(T(K(x,x \ y),z),u,T(y,u)) = L(K(x,T(x \ y,z)),u,y). [para(5334(a,2),8116(a,2,1))]. 8120 R(K(x,T(x \ y,z)),u,T(y,u)) = L(K(x,T(x \ y,z)),u,y). [para(5334(a,2),8119(a,1,1))]. 8121 L(K(x,y),z,y * x) != u | R(K(x,y),z,T(y * x,z)) = u. [para(8118(a,1),385(a,1))]. 8122 ((x * y) * (K(y,x) * z)) / (z * T(x * y,z)) = L(K(y,x),z,x * y). [para(7472(a,1),8118(a,1,1))]. 8123 ((x * y) * (K(y,x) * z)) / ((x * y) * z) = L(K(y,x),z,x * y). [para(113(a,1),8122(a,1,2))]. 8124 K(x,((y * x) * z) / ((y * x) * (y \ z))) = L(K(x,y),z,y * x). [hyper(189,a,8105,a,b,8123,a(flip)),flip(a)]. 8125 R(K(x,x \ y) * K(z,K(x,x \ y)),u,T(y,u)) \ 1 = L(K(x,x \ y),u,y) \ K(L(K(x,x \ y),u,y),z). [para(8111(a,1),8115(a,1,2,1)),flip(a)]. 8126 R(K(x,x \ y) * K(z,K(x,x \ y)),u,T(y,u)) \ 1 = L(K(x,x \ y),u,y) \ K(x,K(y,L(z,u,y))). [para(7288(a,1),8125(a,2,2))]. 8127 R(K(x,x \ y) * K(z,K(x,x \ y)),u,T(y,u)) \ 1 = L(K(x,x \ y),u,y) \ K(x,K(y,z)). [para(6765(a,1),8126(a,2,2,2))]. 8128 R(K(x,x \ y) * K(z,K(x,x \ y)),u,T(y,u)) \ 1 = L(K(x \ y,x),u,y) * K(x,K(y,z)). [hyper(189,a,5895,a(flip),b,8127,a)]. 8130 R(K(x,T(x \ y,z)),u,T(y,u)) \ 1 = L(K(x \ y,x),u,y) * K(x,K(y,z)). [para(6021(a,1),8128(a,1,1,1))]. 8131 L(K(x \ y,x),z,y) * K(x,K(y,u)) = L(K(x,T(x \ y,u)),z,y) \ 1. [para(8120(a,1),8130(a,1,1)),flip(a)]. 8132 L(K(x \ y,x),z,y) * K(x,K(y,u)) = L(K(T(x \ y,u),x),z,y) * 1. [hyper(189,a,5895,a(flip),b,8131,a)]. 8133 L(K(x \ y,x),z,y) * K(x,K(y,u)) = L(K(x \ y,T(x,u)),z,y) * 1. [para(5380(a,1),8132(a,2,1,1))]. 8134 L(K(x \ y,x),z,y) * K(x,K(y,u)) = L(K(x \ y,T(x,u)),z,y). [hyper(189,a,15,a(flip),b,8133,a)]. 8135 K(x,K(y,z)) * L(K(x \ y,T(x,z)),u,y) = L(K(x,x \ y),u,y) \ 1. [para(8134(a,1),7122(a,1,2))]. 8136 K(x,K(y,z)) * L(K(x \ y,T(x,z)),u,y) != w | L(K(x \ y,x),u,y) = w. [para(8135(a,2),5906(a,1))]. 8137 T(x,y) * K((x \ ((y \ 1) \ x)) * T(x,y),x \ ((y \ 1) \ x)) = (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,T(1 \ y,x)). [para(6840(a,1),5250(a,2,2))]. 8138 T(x,y) * K((x \ ((y \ 1) \ x)) * T(x,y),x \ ((y \ 1) \ x)) = (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,T(y,x)). [para(58(a,1),8137(a,2,2,2,1))]. 8139 T(x,y) * K((x \ ((y \ 1) \ x)) * T(x,y),x \ ((y \ 1) \ x)) = (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y). [para(3615(a,1),8138(a,2,2))]. 8140 T(x,y) * K((y \ 1) \ x,x \ ((y \ 1) \ x)) = (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y). [para(3755(a,1),8139(a,1,2,1))]. 8141 L(K(x \ ((y \ 1) \ x),(x \ ((y \ 1) \ x)) * T(x,y)),T(x,y),z) = (z * ((x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y))) \ (z * T(x,y)). [para(8139(a,1),5909(a,1,1,2)),flip(a)]. 8142 (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y) = T(x,y) * K((y \ 1) \ x,T(1 \ y,x)). [para(6878(a,1),8140(a,1,2)),flip(a)]. 8143 (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y) = T(x,y) * K((y \ 1) \ x,T(y,x)). [para(58(a,1),8142(a,2,2,2,1))]. 8144 (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y) = T(x,y) * K(x / (y \ 1),y). [para(6029(a,1),8143(a,2,2))]. 8145 (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y) = T(x,y) * K(x * y,y). [para(4618(a,1),8144(a,2,2))]. 8146 (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y) = y \ T(x * y,y). [hyper(189,a,7373,a(flip),b,8145,a)]. 8147 (x \ 1) * ((K(y,z) * u) * T((K(z,y) \ u) \ ((x \ 1) \ u),z)) = ((x \ 1) * (K(x,z) * ((x \ 1) \ K(z,y)))) * (K(z,y) \ u). [para(3889(a,1),7170(a,1,2,1))]. 8148 (x \ 1) * ((K(y,z) * u) * T((K(y,z) * u) \ ((x \ 1) \ u),z)) = ((x \ 1) * (K(x,z) * ((x \ 1) \ K(z,y)))) * (K(z,y) \ u). [para(3889(a,1),8147(a,1,2,2,1,1))]. 8149 (x \ 1) * (K(y,z) * (u * T(u \ (K(y,z) \ ((x \ 1) \ u)),z))) = ((x \ 1) * (K(x,z) * ((x \ 1) \ K(z,y)))) * (K(z,y) \ u). [para(713(a,1),8148(a,1,2))]. 8150 (x \ 1) * (y * T(y \ ((x \ 1) \ y),z)) = ((x \ 1) * (K(x,z) * ((x \ 1) \ K(z,u)))) * (K(z,u) \ y). [para(6837(a,1),8149(a,1,2))]. 8151 ((x \ 1) * (K(x,y) * ((x \ 1) \ K(y,z)))) * (K(y,z) \ u) = K((x \ 1) \ 1,y) * u. [hyper(4947,a,8150,a),flip(a)]. 8153 ((x \ 1) * (K(x,y) * ((x \ 1) \ K(y,z)))) * (K(y,z) \ u) = K(x,y) * u. [para(2648(a,1),8151(a,2,1))]. 8154 (K(x,y) * K(y,z)) * (K(y,z) \ u) = K(x,y) * u. [para(4970(a,1),8153(a,1,1))]. 8155 (K(x,y) * K(y,z)) * u = K(x,y) * (K(y,z) * u). [para(16(a,1),8154(a,1,2))]. 8157 (K(x,y) * (K(y,z) * u)) / (K(x,y) * K(y,z)) = u * K(K(x,y) * K(y,z),u). [hyper(76,a,8155,a(flip),b,4405,a)]. 8158 (K(x,y) * K(z,x)) * u = K(z,x) * (K(x,y) * u). [para(1959(a,2),8155(a,1,1))]. 8159 (K(x,y) * K(z,x)) * u = K(x,y) * (K(z,x) * u). [hyper(189,a,5830,a,b,8158,a)]. 8160 (K(x,y) * K(z,x)) * (K(y,x) * u) = K(z,x) * u. [para(3887(a,1),8158(a,2,2))]. 8161 L(x,K(y,z),K(z,u)) = x. [hyper(346,a,8159,a)]. 8162 x \ (K(y,z) * (K(u,y) * x)) = T(K(y,z) * K(u,y),x). [hyper(147,a,8159,a,b,17,a),flip(a)]. 8164 T(T(x,K(y,z)),K(y,u)) = T(x,K(y,u) * K(z,y)). [hyper(189,a,7783,a(flip),b,8161,a(flip))]. 8167 L(x,K(y,T(z,u)),K(z,w)) = x. [para(5337(a,1),8161(a,1,2))]. 8168 (K(x,y) * K(z,T(x,u))) * w = K(x,y) * (K(z,T(x,u)) * w). [para(8167(a,1),102(a,1,2))]. 8169 (K(x,y) * K(z,x)) \ u = K(y,x) * (K(x,z) * u). [hyper(75,a,3887,a(flip),b,8160,a)]. 8170 T(T(x,K(y,z)),K(y,u)) = T(x,K(y,z) * K(u,y)). [hyper(333,a,8164,a)]. 8172 (K(x,y) * K(y,z)) \ u = K(z,y) * (K(y,x) * u). [para(1959(a,1),8169(a,1,1))]. 8173 x * K(x,K(y,z) * K(u,y)) = T(T(x,K(y,z)),K(y,u)). [hyper(189,a,4396,a(flip),b,8170,a),flip(a)]. 8174 T(x,K(y,z) * K(u,y)) = T(x,K(y,u) * K(z,y)). [hyper(189,a,8164,a(flip),b,8170,a(flip))]. 8175 (K(x,y) * K(y,z)) \ u = (K(y,x) * K(z,y)) * u. [hyper(189,a,8158,a,b,8172,a)]. 8176 T(x * K(K(y,z) * K(u,y),x),K(y,u) * K(z,y)) = x. [hyper(4482,a,8174,a)]. 8177 x * K(x,K(y,z) * K(u,y)) = T(x,K(y,u) * K(z,y)). [hyper(4414,a,8174,a)]. 8178 (x * (K(y,z) * K(u,y))) / T(((K(y,z) * K(u,y)) \ x) * (K(y,z) * K(u,y)),K(y,u) * K(z,y)) = T(K(y,z) * K(u,y),(K(y,z) * K(u,y)) \ x). [para(8174(a,1),4022(a,1,2))]. 8180 T(K(x,y),z) * T(K(y,u),z) = T(K(y,u) * K(x,y),z). [hyper(189,a,7120,a(flip),b,8162,a(flip)),flip(a)]. 8181 T(K(x,y) * K(z,x),K(x,z) * u) = (K(x,z) * u) \ (K(x,y) * u). [para(3887(a,1),8162(a,1,2,2)),flip(a)]. 8182 T(K(x,K(y,z)) * x,K(y,u)) = x * K(x,K(y,z) * K(u,y)). [para(4403(a,1),8173(a,2,1)),flip(a)]. 8184 T(K(x,y) * K(y * R(x,z,u),x),w) = a(x,y,R(x,z,u)). [hyper(189,a,7904,a(flip),b,8180,a(flip))]. 8187 K(x,K(y,z)) * T(x,K(y,u)) = x * K(x,K(y,z) * K(u,y)). [hyper(189,a,6849,a(flip),b,8182,a(flip)),flip(a)]. 8188 K(x,K(y,z)) * K(x,K(y,u)) = K(x,K(y,z) * K(u,y)). [hyper(4800,a,8187,a)]. 8189 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(189,a,6873,a,b,8188,a(flip)),flip(a)]. 8190 (K(x,y) * K(z,x)) \ (K((K(x,y) * K(z,x)) \ u,K(x,y)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = (((K(x,y) * K(z,x)) \ u) \ u) \ 1. [para(8188(a,2),4465(a,2,2)),flip(a)]. 8191 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(6259(a,1),8188(a,1,1))]. 8192 (K(x,y) * (K(y,z) * u)) * (K(y,x) * K(z,y)) = u * K(K(x,y) * K(y,z),u). [hyper(6650,a,8157,a)]. 8193 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(5966(a,1),8189(a,1,2,2,2))]. 8194 K(x * K(y,z),K(y,u) * K(w,y)) = K(x,K(y,u)) * K(x,K(y,w)). [para(6259(a,1),8191(a,1,2)),flip(a)]. 8195 K(x * K(y,z),K(y,u) * K(w,y)) = K(x,K(y,u) * K(w,y)). [hyper(189,a,8188,a(flip),b,8194,a)]. 8198 K(K(x,y) * z,K(y,u) * K(w,y)) = K(z,K(y,u) * K(w,y)). [para(5348(a,1),8195(a,1,1)),flip(a)]. 8199 T((K(x,y) * z) * K(y,x),K(x,u)) = z * K(K(u,x) * K(x,y),z). [hyper(7764,a,8192,a)]. 8200 x * K(K(y,z) * K(z,u),x) = T(T(x,K(z,u)),K(z,y)). [para(6115(a,1),8199(a,1,1)),flip(a)]. 8201 x * K(K(y,z) * K(z,u),x) = T(x,K(z,u) * K(y,z)). [hyper(189,a,8170,a(flip),b,8200,a)]. 8202 K(K(x,y) * K(y,z),u) = K(u,K(y,x) * K(z,y)). [hyper(20,a,8177,a,b,8201,a)]. 8203 x * K(K(y,z) * K(u,y),x) = T(x,K(y,z) * K(u,y)). [para(1959(a,2),8201(a,1,2,1))]. 8204 K(K(x,y) * K(z,x),u) = K(u,K(x,y) * K(z,x)). [hyper(20,a,4396,a(flip),b,8203,a)]. 8205 T(T(x,K(y,z) * K(u,y)),K(y,u) * K(z,y)) = x. [para(8203(a,1),8176(a,1,1))]. 8206 K(K(x,y) * K(z,x),u) = K(u,K(z,x) * K(x,y)). [para(1959(a,1),8204(a,2,2))]. 8207 (K(x,y) * K(z,x)) * K(u,K(x,y) * K(z,x)) = T(K(x,y) * K(z,x),u). [para(8204(a,1),4396(a,2,2)),flip(a)]. 8208 K(K(x,y) * K(y,z),u) = K(u,K(x,y) * K(y,z)). [para(1959(a,1),8206(a,1,1))]. 8209 K(x,K(y,z) * K(u,y)) = K(x,K(z,y) * K(y,u)). [hyper(189,a,8202,a(flip),b,8208,a(flip)),flip(a)]. 8210 K(K(x,y) * z,K(u,y) * K(y,w)) = K(z,K(y,u) * K(w,y)). [hyper(189,a,8198,a(flip),b,8209,a(flip))]. 8211 T(x * K(y,z),K(z,u)) / (K(u,z) * x) = (K(y,z) * K(z,u)) * K(x,K(z,y) * K(u,z)). [para(8210(a,1),7773(a,2,2))]. 8212 (x * (K(y,z) * K(u,y))) / x = T(K(y,z) * K(u,y),x). [hyper(4384,a,8207,a)]. 8213 T(x * K(y,z),K(z,u)) / (K(u,z) * x) = T(K(z,u) * K(y,z),K(u,z) * x). [para(7761(a,1),8212(a,1,1))]. 8214 K(x,K(y,z)) * K(x,K(z,u)) = K(z,K(x,y) * K(u,x)). [hyper(3844,a,8193,a)]. 8215 T(x * K(y,z),K(z,u)) / (K(u,z) * x) = K(y,z) * (K(z,u) * K(x,K(z,y) * K(u,z))). [hyper(189,a,8155,a(flip),b,8211,a)]. 8217 (1 / (1 / (x * L(x \ 1,y,z)))) \ (x / x) = (x / (x * L(x \ 1,y,z))) / x. [para(19(a,1),2601(a,1,2,1))]. 8218 (1 / (1 / (x * L(x \ 1,y,z)))) \ 1 = (x / (x * L(x \ 1,y,z))) / x. [para(64(a,1),8217(a,1,2))]. 8220 (x / (x * L(x \ 1,y,z))) / x = 1 / (x * L(x \ 1,y,z)). [hyper(236,a,8218,a)]. 8223 (L(1 / x,y,z) \ 1) / x = 1 / (x * L(x \ 1,y,z)). [para(2174(a,1),8220(a,1,1))]. 8224 1 / (x * L(x \ 1,y,z)) = L(1 / x,y,z) \ (1 / x). [hyper(189,a,5008,a(flip),b,8223,a(flip))]. 8225 1 / (x * L(x \ 1,y,z)) = L(x \ 1,y,z) \ (x \ 1). [hyper(189,a,5085,a(flip),b,8224,a)]. 8226 1 / ((x \ 1) * L((x \ 1) \ 1,y,z)) = L(x,y,z) \ x. [hyper(189,a,5779,a(flip),b,8225,a)]. 8227 (1 / (x * L(x \ 1,y,z))) \ (L(x \ 1,y,z) \ 1) = (x \ 1) \ 1. [para(8225(a,2),5007(a,1,1))]. 8228 1 / (x \ L(x,y,z)) = L(x,y,z) \ x. [para(854(a,1),8226(a,1,2))]. 8229 (L(x,y,z) \ x) * (x \ L(x,y,z)) = 1. [para(8228(a,1),19(a,1,1))]. 8230 (L(x,y,z) \ x) * T(x \ L(x,y,z),u) = K(x \ L(x,y,z),u). [para(8228(a,1),4390(a,2,1)),flip(a)]. 8231 ((((x \ L(x,y,z)) * u) / (((L(x,y,z) \ x) * (x \ L(x,y,z))) * u)) \ 1) \ 1 = K((L(x,y,z) \ x) \ 1,L(x,y,z) \ x) * (((x \ L(x,y,z)) * u) / (1 * u)). [para(8229(a,1),5661(a,1,2,2,1)),flip(a)]. 8232 (((x * y) \ x) \ 1) / ((y \ 1) \ 1) = 1 / (y * ((x * y) \ x)). [para(8227(a,1),7705(a,1,2))]. 8233 (1 / ((x * y) \ x)) / y = 1 / (y * ((x * y) \ x)). [hyper(189,a,4929,a(flip),b,8232,a(flip)),flip(a)]. 8234 (1 / ((x * y) \ x)) / y = (y * ((x * y) \ x)) \ 1. [hyper(189,a,5806,a(flip),b,8233,a)]. 8235 (x * ((y * x) \ y)) \ 1 = x \ (1 / ((y * x) \ y)). [hyper(189,a,7876,a(flip),b,8234,a(flip))]. 8236 ((x * ((y * x) \ y)) \ 1) \ (1 / ((y * x) \ y)) = x. [para(8234(a,1),69(a,1,1))]. 8237 ((x * ((y * x) \ y)) \ 1) * T(x,z) = T(x,z) / (x * ((y * x) \ y)). [para(8236(a,1),4187(a,1,2,1))]. 8238 ((x * ((y * x) \ y)) \ 1) * T(x,z) = (x * ((y * x) \ y)) \ T(x,z). [hyper(189,a,5806,a(flip),b,8237,a)]. 8239 (x \ (1 / ((y * x) \ y))) * T(x,z) = (x * ((y * x) \ y)) \ T(x,z). [para(8235(a,1),8238(a,1,1))]. 8240 T((1 / ((x * y) \ x)) * K(y,z),y) = (y * ((x * y) \ x)) \ T(y,z). [hyper(189,a,7877,a,b,8239,a(flip)),flip(a)]. 8241 T(T(1 / ((x * y) \ x),z),y) = (y * ((x * y) \ x)) \ T(y,z). [para(5238(a,1),8240(a,1,1))]. 8242 (x * ((y * x) \ y)) \ T(x,z) = T(1 / ((y * x) \ y),z). [hyper(189,a,5601,a(flip),b,8241,a(flip))]. 8243 1 / ((x * T(y,z)) \ x) = T(1 / ((x * y) \ x),z). [hyper(189,a,7112,a(flip),b,8242,a(flip)),flip(a)]. 8244 T(1 / ((x * y) \ x),z) \ 1 = (x * T(y,z)) \ x. [para(8243(a,1),69(a,1,1))]. 8245 ((x * T(y,z)) \ x) \ 1 = T(((x * y) \ x) \ 1,z). [para(8244(a,1),2096(a,1,1))]. 8246 T(((x * y) \ x) \ 1,x) = ((y * x) \ x) \ 1. [para(113(a,1),8245(a,1,1,1)),flip(a)]. 8247 L(x \ 1,x,y) \ K(x,y) = ((x * y) \ y) \ 1. [hyper(189,a,902,a(flip),b,8246,a(flip)),flip(a)]. 8248 L((K(x,y) * K(z,x)) \ 1,K(x,y) * K(z,x),u) \ K(K(x,y) * K(z,x),u) = (((K(y,x) * K(x,z)) \ u) \ u) \ 1. [para(8175(a,2),8247(a,2,1,1))]. 8249 (((K(x,y) * K(y,z)) \ u) \ u) \ 1 = (K(x,y) * K(y,z)) \ K(K(y,x) * K(z,y),u). [para(6649(a,1),8248(a,1,1)),flip(a)]. 8250 (((K(x,y) * K(y,z)) \ u) \ u) \ 1 = (K(y,x) * K(z,y)) * K(K(y,x) * K(z,y),u). [hyper(189,a,8175,a(flip),b,8249,a)]. 8252 (((K(x,y) * K(y,z)) \ u) \ u) \ 1 = T(K(y,x) * K(z,y),u). [hyper(189,a,4396,a,b,8250,a)]. 8253 ((K(x,y) * (K(y,z) * u)) \ u) \ 1 = T(K(y,z) * K(x,y),u). [para(8172(a,1),8252(a,1,1,1))]. 8254 K(x,y \ (x \ 1)) / ((L(y * (x * ((y \ 1) / x)),z,u) \ 1) * (y * (x * ((y \ 1) / x)))) = L(K(y \ (x \ 1),x) \ 1,z,u). [para(6782(a,1),6788(a,1,1))]. 8255 K(x,y \ (x \ 1)) / ((L(K(x,y \ (x \ 1)),z,u) \ 1) * (y * (x * ((y \ 1) / x)))) = L(K(y \ (x \ 1),x) \ 1,z,u). [para(6782(a,1),8254(a,1,2,1,1,1))]. 8256 K(x,y \ (x \ 1)) / ((K(x,L(x * y,z,u) \ 1) \ 1) * (y * (x * ((y \ 1) / x)))) = L(K(y \ (x \ 1),x) \ 1,z,u). [para(6776(a,1),8255(a,1,2,1,1))]. 8257 K(x,y \ (x \ 1)) / (K(L(x * y,z,u) \ 1,x) * (y * (x * ((y \ 1) / x)))) = L(K(y \ (x \ 1),x) \ 1,z,u). [para(3871(a,1),8256(a,1,2,1))]. 8258 K(x,y \ (x \ 1)) / (K(L(x * y,z,u) \ 1,x) * K(x,y \ (x \ 1))) = L(K(y \ (x \ 1),x) \ 1,z,u). [para(6782(a,1),8257(a,1,2,2))]. 8259 (x * K(y,z * x)) / T(T(K(y,z),x * K(y,z * x)),x * K(y,z * x)) = (K(y,z * x) * x) / K(y,T(z,x * K(y,z * x))). [para(5334(a,2),6848(a,2,2))]. 8260 (x * K(y,z * x)) / T(T(K(y,z),x * K(y,z * x)),x * K(y,z * x)) = (K(y,z * x) * x) / K(y,T(z,x)). [para(7593(a,1),8259(a,2,2))]. 8261 (x * K(y,z * x)) / T(T(K(y,z),x * K(y,z * x)),x * K(y,z * x)) = (K(y,z * x) * x) * K(z,T(y,x)). [hyper(189,a,5401,a(flip),b,8260,a)]. 8263 (x * K(y,z * x)) / T(T(K(y,z),x * K(y,z * x)),x * K(y,z * x)) = K(y,z * x) * (x * K(z,T(y,x))). [hyper(189,a,6906,a(flip),b,8261,a)]. 8264 (x * K(y,z * x)) / T(T(K(y,z),x * K(y,z * x)),x * K(y,z * x)) = K(y,z * x) * (K(z,y) * x). [para(5345(a,1),8263(a,2,2))]. 8265 (x * K(y,z * x)) / K(y,z) = K(y,z * x) * (K(z,y) * x). [para(6031(a,1),8264(a,1,2))]. 8266 (x * K(y,z * x)) * K(z,y) = K(y,z * x) * (K(z,y) * x). [hyper(3930,a,8265,a)]. 8268 K(x,y * z) * (K(y,x) * z) != u | z * (K(x,y * z) * K(y,x)) = u. [para(8266(a,1),6764(a,1))]. 8269 L(x,y,z) * (K(x,u * L(x,y,z)) * K(u,x)) = L(L(x,u,x),y,z). [hyper(8268,a,7860,a)]. 8270 L(x,y,z) * (K(u,x) * K(x,u * L(x,y,z))) = L(L(x,u,x),y,z). [para(1959(a,1),8269(a,1,2))]. 8271 L(x,y,z) * (a(x,u,L(x,y,z)) \ 1) = L(L(x,u,x),y,z). [para(8015(a,1),8270(a,1,2))]. 8272 L(x,y,z) \ L(L(x,u,x),y,z) = a(x,u,L(x,y,z)) \ 1. [hyper(80,a,8271,a)]. 8273 K(x * (y \ T(y * z,y)),K(y * z,L(y,z,x))) / ((x * z) / (x * (y \ T(y * z,y)))) = 1 / ((x * (y \ T(y * z,y))) \ (x * z)). [para(7286(a,1),5941(a,1,1))]. 8274 L(K(x \ ((y \ 1) \ x),(x \ ((y \ 1) \ x)) * T(x,y)),T(x,y),z) = (z * (y \ T(x * y,y))) \ (z * T(x,y)). [para(8146(a,1),8141(a,2,1,2))]. 8275 K(x * (y \ T(y * z,y)),K(y * z,y)) / ((x * z) / (x * (y \ T(y * z,y)))) = 1 / ((x * (y \ T(y * z,y))) \ (x * z)). [para(6689(a,1),8273(a,1,1,2))]. 8276 K(x * y,K(z * (x \ T(x * y,x)),x)) / ((z * y) / (z * (x \ T(x * y,x)))) = 1 / ((z * (x \ T(x * y,x))) \ (z * y)). [para(5966(a,1),8275(a,1,1))]. 8278 K(x * y,K(z * (x \ (x * y)),x)) / ((z * y) / (z * (x \ T(x * y,x)))) = 1 / ((z * (x \ T(x * y,x))) \ (z * y)). [para(6248(a,1),8276(a,1,1,2))]. 8279 K(x * y,K(z * y,x)) / ((z * y) / (z * (x \ T(x * y,x)))) = 1 / ((z * (x \ T(x * y,x))) \ (z * y)). [para(16(a,1),8278(a,1,1,2,1,2))]. 8280 K(x,K(x * y,z * y)) / ((z * y) / (z * (x \ T(x * y,x)))) = 1 / ((z * (x \ T(x * y,x))) \ (z * y)). [para(5969(a,1),8279(a,1,1))]. 8281 K(x,K(y,z * y)) / ((z * y) / (z * (x \ T(x * y,x)))) = 1 / ((z * (x \ T(x * y,x))) \ (z * y)). [para(6003(a,1),8280(a,1,1))]. 8282 K(x,K(y,z)) / ((y * z) / (y * (x \ T(x * z,x)))) = 1 / ((y * (x \ T(x * z,x))) \ (y * z)). [para(5992(a,1),8281(a,1,1))]. 8283 K(x,K(y,z)) / ((x * z) / (x * (y \ T(y * z,y)))) = 1 / ((x * (y \ T(y * z,y))) \ (x * z)). [para(5966(a,1),8282(a,1,1))]. 8284 K(x,K(y,z)) / L(K(y,T(z * y,x)),z,x) = 1 / ((x * (y \ T(y * z,y))) \ (x * z)). [para(7613(a,1),8283(a,1,2))]. 8285 K(x,K(y,z)) * L(K(T(z * y,x),y),z,x) = 1 / ((x * (y \ T(y * z,y))) \ (x * z)). [hyper(5908,a,8284,a)]. 8286 K(x,K(y,z)) * L(K(z * y,T(y,x)),z,x) = 1 / ((x * (y \ T(y * z,y))) \ (x * z)). [para(5380(a,1),8285(a,1,2,1))]. 8287 1 / ((x * (y \ T(y * z,y))) \ (x * z)) != K(x,K(y,z)) * u | L(K(z * y,T(y,x)),z,x) = u. [para(8286(a,1),22(a,1))]. 8288 (((T(x,y) \ 1) * x) * T((x \ 1) \ 1,y)) * (T((x \ 1) \ 1,y) \ y) = y * T(y \ T(y * K(x \ 1,x),x),T((x \ 1) \ 1,y)). [para(5520(a,1),4019(a,1,1,1))]. 8289 x * T(x \ T(x * K(y \ 1,y),y),T((y \ 1) \ 1,x)) = (K(x,y) * T(y,x)) * (T((y \ 1) \ 1,x) \ x). [para(4789(a,1),8288(a,1,1)),flip(a)]. 8290 x * T(x \ T(x * K(y \ 1,y),y),T((y \ 1) \ 1,x)) = y * (T((y \ 1) \ 1,x) \ x). [para(4370(a,1),8289(a,2,1))]. 8291 x * T(x \ T(x * K(y \ 1,y),y),T((y \ 1) \ 1,x)) = y \ (x * (1 / (1 / y))). [hyper(189,a,4984,a(flip),b,8290,a)]. 8292 x * T((T(y,x) \ 1) * y,T((y \ 1) \ 1,x)) = y \ (x * (1 / (1 / y))). [para(5595(a,1),8291(a,1,2,1))]. 8293 x * T((T(y,x) \ 1) * y,T(y,x)) = y \ (x * (1 / (1 / y))). [para(2676(a,1),8292(a,1,2))]. 8294 x \ (y * (1 / (1 / x))) = y * ((T(x,y) \ 1) * x). [para(6852(a,1),8293(a,1,2)),flip(a)]. 8295 K((x * (1 / (1 / y))) \ (y * z),T(z,u)) = K((x * ((T(y,x) \ 1) * y)) \ z,T(z,u)). [para(8294(a,1),5538(a,1,1,1)),flip(a)]. 8297 K((x * ((T(y,x) \ 1) * y)) \ z,T(z,u)) = K((x * y) \ (((y \ 1) \ 1) * z),T(z,u)). [para(3259(a,1),8295(a,1,1)),flip(a)]. 8298 K((x * ((T(y,x) \ 1) * y)) \ z,T(z,u)) = K((x * y) \ (z * y),T(z,u)). [hyper(189,a,6578,a(flip),b,8297,a)]. 8299 K((x * ((T(y,x) \ 1) * y)) \ z,T(z,x)) = K(x \ z,T(z,y)). [hyper(189,a,7099,a(flip),b,8298,a)]. 8300 K(T(x,y) \ z,T(z,x)) = K(x \ z,T(z,y)). [hyper(189,a,5584,a(flip),b,8299,a(flip)),flip(a)]. 8301 K(T(x,y) \ z,z) = K(x \ z,T(z,y)). [hyper(189,a,7530,a(flip),b,8300,a(flip)),flip(a)]. 8302 R(x,y,z) \ R(x * K(u \ x,T(x,w)),y,z) = K(T(u,w) \ x,R(x,y,z)). [para(8301(a,1),4741(a,1,2,1,2))]. 8303 K(T(x,y) \ z,R(z,u,w)) = K(x \ z,R(T(z,y),u,w)). [hyper(189,a,7049,a(flip),b,8302,a(flip))]. 8304 (x * y) / (R((z \ R(1 / u,u,x)) * z,u * x,y) * ((u * x) * y)) = K(z,(x * y) / (z * (R(R(1 / u,u,x),u * x,y) \ (x * y)))). [para(3270(a,2),5702(a,1,2,1))]. 8305 (1 / (x \ y)) \ R(1 / (x \ y),z,L(1 / (x \ y),x \ y,x)) = K(z * (1 / (1 / (y \ x))),T(y \ x,z)) * K(1 / (x \ y),z). [para(6876(a,1),7046(a,2,1))]. 8306 (1 / (x \ y)) \ R(1 / (x \ y),z,L(1 / (x \ y),x \ y,x)) = K(z * (y \ x),y \ x) * K(1 / (x \ y),z). [para(7178(a,1),8305(a,2,1))]. 8307 (1 / (x \ y)) \ R(1 / (x \ y),z,L(1 / (x \ y),x \ y,x)) = K(z * (y \ x),y \ x) * K((x \ y) \ 1,z). [para(2647(a,1),8306(a,2,2))]. 8309 (1 / (x \ y)) \ R(1 / (x \ y),z,L(1 / (x \ y),x \ y,x)) = K(z * (y \ x),y \ x) * K(y \ x,z). [para(5209(a,1),8307(a,2,2))]. 8310 (1 / (x \ y)) \ R(1 / (x \ y),z,L(1 / (x \ y),x \ y,x)) = (y \ x) \ R(y \ x,z,y \ x). [hyper(189,a,4697,a(flip),b,8309,a)]. 8311 (1 / (x \ y)) \ R(1 / (x \ y),z,1 / (1 / (y \ x))) = (y \ x) \ R(y \ x,z,y \ x). [para(2196(a,1),8310(a,1,2,3))]. 8312 (1 / (x \ y)) \ R(1 / (x \ y),z,y \ x) = (y \ x) \ R(y \ x,z,y \ x). [para(4079(a,1),8311(a,1,2))]. 8313 (x \ y) * R((x \ y) \ 1,z,y \ x) = (y \ x) \ R(y \ x,z,y \ x). [hyper(859,a,8312,a)]. 8314 (x \ y) \ R(x \ y,z,x \ y) = y \ (x * R(x \ y,z,x \ y)). [hyper(189,a,1315,a(flip),b,8313,a(flip))]. 8315 T(x,x \ y) \ R((x \ y) \ y,z,(x \ y) \ y) = y \ ((x \ y) * R((x \ y) \ y,z,(x \ y) \ y)). [hyper(535,a,8314,a)]. 8316 T(x,x \ y) \ R((x \ y) \ y,z,(x \ y) \ y) = y \ (R(x,z,(x \ y) \ y) * (x \ y)). [para(513(a,1),8315(a,2,2))]. 8317 T(x,x \ y) \ R((x \ y) \ y,z,(x \ y) \ y) = y \ (R(x,z,x) * (x \ y)). [para(7715(a,1),8316(a,2,2,1))]. 8318 x \ (R(y,z,y) * (y \ x)) = y \ R(y,z,y). [hyper(189,a,7723,a(flip),b,8317,a(flip))]. 8321 R(x,y,x) * (x \ z) = z * (x \ R(x,y,x)). [para(8318(a,1),17(a,1,2)),flip(a)]. 8322 R(x,y,x) * (x \ z) = z * a(x,y,x). [para(7941(a,1),8321(a,2,2))]. 8323 (x / y) * ((y \ z) \ T(z,y)) = x * a(y,y \ z,y). [hyper(189,a,6713,a(flip),b,8322,a(flip)),flip(a)]. 8324 (x / y) * R(y,z,y) = x * a(y,z,y). [hyper(189,a,6710,a(flip),b,8322,a(flip)),flip(a)]. 8325 (x * a(y,z,y)) / R(y,z,y) = x / y. [hyper(76,a,8322,a(flip),b,6710,a(flip))]. 8326 x * (y * a(x,z,x)) = R(x,z,x) * y. [para(8322(a,1),924(a,1,2))]. 8327 (x * a(y,z,y)) \ (x * R(y,z,y)) = y. [para(8322(a,1),6712(a,1,1))]. 8328 (x * y) * a(y,z,y) = x * R(y,z,y). [para(18(a,1),8324(a,1,1)),flip(a)]. 8329 (x / y) * R(y,z,y) != x * u | a(y,z,y) = u. [para(8324(a,2),22(a,1))]. 8330 ((x \ y) * L(x,z,u)) * R(T(x,x \ y),w,T(x,x \ y)) = (y * L(x,z,u)) * a(T(x,x \ y),w,T(x,x \ y)). [para(1279(a,1),8324(a,1,1))]. 8331 K(x,y) * ((z / y) * R(y,u,y)) = y * (L(T(y,x),u,y) \ z). [para(8324(a,2),7972(a,1,2))]. 8332 R(x / y,y,a(y,z,y)) = x / y. [hyper(7953,a,8325,a)]. 8333 R((x * y) / y,y,a(y,z,y)) = x. [hyper(189,a,18,a(flip),b,8332,a)]. 8334 R(x,y,a(y,z,y)) = x. [para(18(a,1),8333(a,1,1))]. 8336 L(T(x,a(x,y,x)),a(x,y,x),R(z,x,a(x,y,x))) = (z * a(x,y,x)) \ ((z * x) * a(x,y,x)). [para(8334(a,1),555(a,1,1,1)),flip(a)]. 8337 x * (a(x,y,x) * z) = R(x,y,x) * z. [para(7980(a,2),8326(a,1,2))]. 8338 (x * (y * z)) \ (x * (y * R(z,u,z))) != w | L(a(z,u,z),y * z,x) = w. [para(8328(a,1),355(a,1,2,2))]. 8339 (a(x,y,x) \ 1) \ K(z * x,a(x,y,x)) = (((z * R(x,y,x)) / (z * x)) \ 1) \ 1. [para(8328(a,1),4736(a,1,1,1,1)),flip(a)]. 8340 a(x,y,x) * (x * z) = R(x,y,x) * z. [hyper(20,a,922,a(flip),b,8337,a)]. 8341 ((R(x,y,x) * z) * u) / ((x * z) * u) != w | R(a(x,y,x),x * z,u) = w. [para(8340(a,1),385(a,1,1,1))]. 8342 R(x,y,x) * (T(x,z) \ u) = x * (L(T(x,z),y,x) \ u). [hyper(189,a,8094,a(flip),b,8331,a(flip)),flip(a)]. 8343 K(x,y) * (x * (L(T(x,z),u,x) \ w)) = R(T(x,y),u,x) * (T(x,z) \ w). [para(8342(a,1),8070(a,1,2))]. 8344 R(T(x,y),z,x) * (T(x,u) \ w) = T(x,y) * (L(T(x,u),z,x) \ w). [hyper(4564,a,8343,a),flip(a)]. 8345 (((x * R(y,z,y)) / (x * y)) \ 1) \ 1 = a(y,z,y) * K(x * y,a(y,z,y)). [hyper(8001,a,8339,a),flip(a)]. 8346 a(x,y,x) * K(z * x,a(x,y,x)) = (R(a(x,y,x),x,z) \ 1) \ 1. [para(7951(a,1),8345(a,1,1,1)),flip(a)]. 8347 a(x,y,x) * K(z * x,a(x,y,x)) = R((a(x,y,x) \ 1) \ 1,x,z). [hyper(189,a,3105,a,b,8346,a)]. 8348 L(T(x,a(x,y,x)),a(x,y,x),R(z,x,a(x,y,x))) = (z * a(x,y,x)) \ (z * R(x,y,x)). [para(8328(a,1),8336(a,2,2))]. 8349 L(T(x,a(x,y,x)),a(x,y,x),R(z,x,a(x,y,x))) = x. [hyper(189,a,8327,a(flip),b,8348,a)]. 8352 L(x,a(x,y,x),R(z,x,a(x,y,x))) = x. [para(7737(a,1),8349(a,1,1))]. 8353 L(x,a(x,y,x),z) = x. [para(372(a,1),8352(a,1,3))]. 8354 (x * a(y,z,y)) * L(y,u,w) = x * (a(y,z,y) * L(y,u,w)). [para(8353(a,1),352(a,1,2,1))]. 8355 (x * L(y,z,u)) * a(T(y,y \ x),w,T(y,y \ x)) = ((y \ x) * L(y,z,u)) * R(T(y,y \ x),w,y). [para(6434(a,1),8330(a,1,2)),flip(a)]. 8357 (K(x,y) * K(z,x)) \ (K((K(x,y) * K(z,x)) \ u,K(x,y)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = ((K(y,x) * (K(x,z) * u)) \ u) \ 1. [para(8169(a,1),8190(a,2,1,1))]. 8358 (x * y) / (R(R((z \ (1 / u)) * z,u,x),u * x,y) * ((u * x) * y)) = K(z,(x * y) / (z * (R(R(1 / u,u,x),u * x,y) \ (x * y)))). [para(3270(a,2),8304(a,1,2,1,1))]. 8359 (K(x,y) * K(z,x)) \ (K((K(x,y) * K(z,x)) \ u,K(x,y)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = T(K(x,z) * K(y,x),u). [hyper(189,a,8253,a(flip),b,8357,a)]. 8360 (K(x,y) * K(z,x)) \ (K(K(y,x) * (K(x,z) * u),K(x,y)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = T(K(x,z) * K(y,x),u). [para(8169(a,1),8359(a,1,2,1,1))]. 8361 (K(x,y) * K(z,x)) \ (K(x,K(u,y)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = T(K(x,z) * K(y,x),u). [para(6262(a,1),8360(a,1,2,1))]. 8362 (K(x,y) * K(z,x)) \ (K(x,K(y,u)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = T(K(x,z) * K(y,x),u). [para(5983(a,1),8361(a,1,2,1))]. 8364 (K(x,y) * K(z,x)) \ (K(x,K(y,u)) * K(K(y,x) * (K(x,z) * u),K(x,z))) = T(K(x,z) * K(y,x),u). [para(8169(a,1),8362(a,1,2,2,1))]. 8365 (K(x,y) * K(z,x)) \ (K(x,K(y,u)) * K(x,K(u,z))) = T(K(x,z) * K(y,x),u). [para(6262(a,1),8364(a,1,2,2))]. 8367 (K(x,y) * K(z,x)) \ K(u,K(x,y) * K(z,x)) = T(K(x,z) * K(y,x),u). [para(8214(a,1),8365(a,1,2))]. 8368 K(x,y) * (K(y,z) * K(u,K(y,x) * K(z,y))) = T(K(y,z) * K(x,y),u). [hyper(189,a,8169,a(flip),b,8367,a(flip)),flip(a)]. 8369 T(x * K(y,z),K(z,u)) / (K(u,z) * x) = T(K(z,u) * K(y,z),x). [hyper(189,a,8215,a,b,8368,a(flip)),flip(a)]. 8370 T(K(x,y) * K(z,x),K(y,x) * u) = T(K(x,y) * K(z,x),u). [hyper(189,a,8213,a(flip),b,8369,a(flip)),flip(a)]. 8371 K(x,(y * z) / (x * (R(R(1 / u,u,y),u * y,z) \ (y * z)))) = (y * z) / ((R((x \ (1 / u)) * x,u,y) * (u * y)) * z). [para(110(a,1),8358(a,1,2)),flip(a)]. 8372 K(x,(y * z) / (x * (R(R(1 / u,u,y),u * y,z) \ (y * z)))) = (y * z) / (((((x \ (1 / u)) * x) * u) * y) * z). [para(110(a,1),8371(a,2,2,1))]. 8373 K(x,(y * z) / (x * (R(R(1 / u,u,y),u * y,z) \ (y * z)))) = (y * z) / ((K(u \ (x \ 1),x) * y) * z). [para(5554(a,1),8372(a,2,2,1,1))]. 8374 K(x,(y * z) / (x * (R(R(1 / u,u,y),u * y,z) \ (y * z)))) = R(K(x,u \ (x \ 1)),y,z). [hyper(189,a,5673,a(flip),b,8373,a)]. 8375 K(x,(y * z) / (x * (R(R(1 / u,u,y),u * y,z) \ (y * z)))) = K(x,R(u * x,y,z) \ 1). [hyper(189,a,5671,a(flip),b,8374,a)]. 8376 K(x,(y * z) / (x * ((u * y) * z))) = K(x,R(u * x,y,z) \ 1). [para(452(a,1),8375(a,1,2,2,2))]. 8377 K(x,R(y * x,z,u) \ 1) = K(x,R(y,z,u) \ (x \ 1)). [hyper(5701,a,8376,a),flip(a)]. 8378 K(x \ 1,R(y,z,u) \ ((x \ 1) \ 1)) = K(R(x,z,u) \ 1,y \ x). [hyper(7481,a,8377,a),flip(a)]. 8379 K(R(x,y,z) \ 1,u \ x) = K(x \ 1,R(u,y,z) \ x). [hyper(189,a,7439,a(flip),b,8378,a(flip))]. 8380 K(x \ 1,R(y / (z / u),z / u,u) \ x) = K(x \ 1,z / ((x \ y) * u)). [hyper(189,a,7491,a(flip),b,8379,a(flip))]. 8381 K(x \ 1,y / ((x \ z) * u)) = K(x \ 1,((z * u) / y) \ x). [para(391(a,1),8380(a,1,2,1)),flip(a)]. 8382 K(x \ 1,y / ((z / x) * u)) = K(x \ 1,((z * u) / y) \ x). [hyper(189,a,8102,a,b,8381,a(flip)),flip(a)]. 8383 K((x \ 1) \ 1,((y * z) / u) \ (x \ 1)) = K(x,u / ((y * x) * z)). [hyper(189,a,8100,a(flip),b,8382,a(flip))]. 8384 K(x,((y * z) / u) \ (x \ 1)) = K(x,u / ((y * x) * z)). [hyper(2659,a,8383,a)]. 8385 K(x,y / ((z * u) * x)) = K(x,y / ((z * x) * u)). [hyper(189,a,6761,a(flip),b,8384,a(flip)),flip(a)]. 8386 K(x,y / ((z * x) * u)) = K(x,y / (x * (z * u))). [hyper(189,a,6757,a(flip),b,8385,a(flip))]. 8387 K(x,((y * x) * z) / (x * (y * (y \ z)))) = L(K(x,y),z,y * x). [hyper(189,a,8124,a(flip),b,8386,a(flip))]. 8388 K(x,y / ((x * z) * u)) = K(x,y / (x * (z * u))). [hyper(189,a,7016,a(flip),b,8386,a(flip)),flip(a)]. 8389 (x \ 1) / (x \ K(x,y / (x * (z * u)))) = K(y / ((x * z) * u),x). [para(8388(a,1),3970(a,1,2,2))]. 8390 x * K(x,y / (x * (z * u))) = T(x,y / ((x * z) * u)). [para(8388(a,1),4396(a,2,2)),flip(a)]. 8391 L(K(x,y),z,y * x) = K(x,((y * x) * z) / (x * z)). [para(17(a,1),8387(a,1,2,2,2)),flip(a)]. 8392 L(K(x,y),z,y * x) = K(x,R(y,x,z)). [para(33(a,2),8391(a,2,2))]. 8394 R(K(x,y),z,T(y * x,z)) = K(x,R(y,x,z)). [hyper(8121,a,8392,a)]. 8395 L(T(K(x,y),z),u,y * x) = T(K(x,R(y,x,u)),z). [para(8392(a,1),43(a,2,1))]. 8396 K(x,R(y,x,T(z,y * x))) != u | K(((z / x) * (y * x)) \ (z * (y * x)),y) = u. [para(8392(a,1),7694(a,1))]. 8397 K(x,R(y,x,z)) * ((y * x) * z) = (K(x,y) * z) * T(y * x,z). [para(8394(a,1),383(a,1,1))]. 8398 L(T(K(x,y),z),u,y * x) = K(x,T(R(y,x,u),z)). [hyper(189,a,5334,a,b,8395,a)]. 8399 L(T(K(x,y),z),u,y * x) = K(x,R(T(y,z),x,u)). [para(45(a,2),8398(a,2,2))]. 8400 L(K(x,T(y,z)),u,y * x) = K(x,R(T(y,z),x,u)). [para(5334(a,2),8399(a,1,1))]. 8401 L(K(x \ y,T(x,z)),u,x * (x \ y)) = R(K(x \ y,T(x,z)),y,u). [hyper(189,a,5691,a(flip),b,8400,a)]. 8402 (K(x,y) * z) * T(y * x,z) = (y * (K(x,y) * x)) * z. [hyper(189,a,5038,a(flip),b,8397,a(flip))]. 8403 (K(x,y) * z) * T(y * x,z) = (x * y) * z. [para(4451(a,1),8402(a,2,1))]. 8404 (x * y) * (K(y,x) * z) = (y * x) * z. [hyper(189,a,7472,a(flip),b,8403,a(flip)),flip(a)]. 8406 L(x,K(y,z),z * y) = x. [hyper(643,a,8404,a)]. 8407 x * (K(y \ x,y) * z) = ((y \ x) * y) * z. [hyper(411,a,8404,a)]. 8409 K(x,y) * ((x * y) \ z) = (y * x) \ z. [hyper(75,a,17,a(flip),b,8404,a),flip(a)]. 8410 L(x,K(y \ z,y),z) = x. [para(17(a,1),8406(a,1,3))]. 8411 L(x,K(y,y \ z),z) = x. [para(3944(a,1),8410(a,1,2))]. 8412 (x * (y / x)) \ (y * z) = K(x \ y,x) * z. [hyper(189,a,4015,a(flip),b,8411,a(flip)),flip(a)]. 8413 ((x * y) \ z) \ K(y,x) = ((y * x) \ z) \ 1. [para(8409(a,1),7358(a,1,1)),flip(a)]. 8414 L(K(x \ y,x),z,y) * (y * z) = ((x \ y) * x) * z. [hyper(7755,a,8407,a)]. 8415 ((x \ y) * x) * (y \ z) = K(x \ y,x) * z. [hyper(20,a,7837,a,b,8407,a),flip(a)]. 8417 K(x \ y,x) * (y \ z) = (x * (y / x)) \ z. [para(17(a,1),8412(a,1,2)),flip(a)]. 8418 K(x,y) * ((((x * y) \ y) \ 1) \ z) = (((y * x) \ y) \ 1) \ z. [para(8413(a,1),5776(a,1,2,1))]. 8419 K(x \ y,x) * (y * z) = ((x \ y) * x) * z. [para(16(a,1),8415(a,1,2)),flip(a)]. 8420 ((x \ y) * x) * (y \ z) = y * ((x * (y / x)) \ z). [para(8417(a,1),8407(a,1,2)),flip(a)]. 8423 x * ((y * (x / y)) \ z) = K(y \ x,y) * z. [hyper(189,a,8415,a(flip),b,8420,a(flip))]. 8424 (x * (y / x)) \ (K(x,x \ y) * (y * z)) = z. [hyper(20,a,3887,a(flip),b,8423,a)]. 8425 L(x,y,K(z,z \ y)) = x. [hyper(4323,a,8424,a)]. 8426 L(x,y * z,K(z,y)) = x. [para(3891(a,1),8425(a,1,3))]. 8427 L(x,y,z * K(y,z)) = L(x,y,z). [hyper(189,a,4044,a(flip),b,8426,a(flip)),flip(a)]. 8428 L(x,T(y,z) * z,K(z,y)) = x. [para(3874(a,1),8426(a,1,3))]. 8429 L(x,y,T(z,y)) = L(x,y,z). [hyper(5742,a,8428,a),flip(a)]. 8430 L(x,y,z / y) = L(x,y,y \ z). [para(115(a,1),8429(a,1,3)),flip(a)]. 8431 L(x,T(y,z),z) = L(x,y,z). [hyper(4934,a,8427,a)]. 8432 L(x,y,z) = (y * z) \ (z * (T(y,z) * x)). [hyper(189,a,4932,a,b,8427,a(flip))]. 8433 L(x,y / z,z) = L(x,z \ y,z). [para(115(a,1),8431(a,1,2)),flip(a)]. 8438 L(x,1 / y,(1 / y) \ z) = L(x,y \ z,y). [hyper(189,a,5876,a(flip),b,8430,a(flip))]. 8439 (x * (T(y,x) * z)) / L(z,y,x) = y * x. [para(8432(a,2),67(a,1,2))]. 8440 L(x,y \ 1,(1 / y) \ z) = L(x,y \ z,y). [hyper(189,a,5788,a(flip),b,8438,a(flip)),flip(a)]. 8443 L(K(x \ y,x),z,y) = K(x \ y,x). [hyper(21,a,8419,a,b,8414,a)]. 8445 K(x,y) * ((y \ ((x \ 1) \ y)) \ z) = (((y * x) \ y) \ 1) \ z. [para(4271(a,1),8418(a,1,2,1))]. 8446 (((x \ 1) \ y) / y) \ z = (((y * x) \ y) \ 1) \ z. [hyper(189,a,4920,a(flip),b,8445,a(flip)),flip(a)]. 8447 (((x * y) \ x) \ 1) \ K(y,y \ 1) = 1 / (((y \ 1) \ x) / x). [hyper(189,a,5023,a(flip),b,8446,a(flip))]. 8448 1 / (((x \ 1) \ y) / y) = (y * x) \ y. [hyper(4913,a,8447,a),flip(a)]. 8449 1 / (((x \ y) / y) \ 1) = (y * x) \ y. [para(4263(a,1),8448(a,1,2))]. 8450 (x \ y) / y = (y * x) \ y. [hyper(246,a,8449,a),flip(a)]. 8452 (x * (x / y)) \ x = y / x. [para(69(a,1),8450(a,1,1)),flip(a)]. 8456 K(x / ((y * z) * u),y) = K(x / (y * (z * u)),y). [hyper(3971,a,8389,a),flip(a)]. 8457 K(x / (y * (z * x)),y) = K(z \ (y \ 1),y). [hyper(189,a,5553,a(flip),b,8456,a(flip))]. 8458 K(x / ((y * x) * z),z) = K(y \ (z \ 1),z). [hyper(7424,a,8457,a)]. 8459 K((x \ y) / (z * y),z) = K(x \ (z \ 1),z). [para(17(a,1),8457(a,1,1,2,2))]. 8460 K((x / y) \ (z \ 1),z) = K(y / (x * z),z). [para(19(a,1),8458(a,1,1,2,1)),flip(a)]. 8461 K(((x \ y) * x) / (z * (y / (y / x))),z) = K((x / y) \ (z \ 1),z). [para(4865(a,1),8459(a,1,1,1))]. 8462 R(K(x \ y,T(x,z)),y,u) = L(K(x \ y,T(x,z)),u,y). [para(17(a,1),8401(a,1,3)),flip(a)]. 8463 K(((x \ y) * x) / (z * (y / (y / x))),z) = K(y / (x * z),z). [hyper(189,a,8460,a(flip),b,8461,a)]. 8464 K(R(x \ (y / z),x,y / (y / z)),x) = K(y / (z * x),x). [hyper(189,a,3965,a,b,8463,a(flip)),flip(a)]. 8465 (K(x,y \ (x \ 1)) * L(K(y \ (x \ 1),x),z,u)) * ((y * (x * ((y \ 1) / x))) \ w) = w * L(w \ ((y * (x * ((y \ 1) / x))) \ w),z,u). [para(6782(a,1),6787(a,1,1,1))]. 8466 (K(x,y \ (x \ 1)) * K(L(y * x,z,u) \ 1,x)) * ((y * (x * ((y \ 1) / x))) \ w) = w * L(w \ ((y * (x * ((y \ 1) / x))) \ w),z,u). [para(5586(a,1),8465(a,1,1,2))]. 8467 (K(x,y \ (x \ 1)) * K(L(y,z,u) \ (x \ 1),x)) * ((y * (x * ((y \ 1) / x))) \ w) = w * L(w \ ((y * (x * ((y \ 1) / x))) \ w),z,u). [para(7806(a,1),8466(a,1,1,2))]. 8468 (K(x,y \ (x \ 1)) * K(L(y,z,u) \ (x \ 1),x)) * (K(x,y \ (x \ 1)) \ w) = w * L(w \ ((y * (x * ((y \ 1) / x))) \ w),z,u). [para(6782(a,1),8467(a,1,2,1))]. 8469 (K(x,y \ (x \ 1)) * K(L(y,z,u) \ (x \ 1),x)) * (K(y \ (x \ 1),x) * w) = w * L(w \ ((y * (x * ((y \ 1) / x))) \ w),z,u). [para(3889(a,1),8468(a,1,2))]. 8470 x * L(x \ ((y * (z * ((y \ 1) / z))) \ x),u,w) = K(L(y,u,w) \ (z \ 1),z) * x. [hyper(189,a,8160,a(flip),b,8469,a(flip))]. 8472 x * L(x \ (K(y,z \ (y \ 1)) \ x),u,w) = K(L(z,u,w) \ (y \ 1),y) * x. [para(6782(a,1),8470(a,1,2,1,2,1))]. 8473 x * L(K(y \ (z \ 1),T(z,x)),u,w) = K(L(y,u,w) \ (z \ 1),z) * x. [para(5339(a,1),8472(a,1,2,1))]. 8474 x * K(L(y * z,u,w) \ 1,T(y,x)) = K(L(z,u,w) \ (y \ 1),y) * x. [para(7035(a,1),8473(a,1,2))]. 8475 K(L(x * y,z,u) \ 1,x) * w = K(L(y,z,u) \ (x \ 1),x) * w. [hyper(5346,a,8474,a)]. 8476 K(x,y \ (x \ 1)) / (K(L(y,z,u) \ (x \ 1),x) * K(x,y \ (x \ 1))) = L(K(y \ (x \ 1),x) \ 1,z,u). [para(8475(a,1),8258(a,1,2))]. 8477 L(K(x \ (y \ 1),y) \ 1,z,u) = K(y,L(x,z,u) \ (y \ 1)). [hyper(3910,a,8476,a),flip(a)]. 8479 L(K(x,y \ (x \ 1)),z,u) = K(x,L(y,z,u) \ (x \ 1)). [para(3871(a,1),8477(a,1,1))]. 8480 K(x,L(x * y,z,u) \ 1) = K(x,L(y,z,u) \ (x \ 1)). [hyper(189,a,6776,a(flip),b,8479,a(flip)),flip(a)]. 8481 K(x \ 1,L(y,z,u) \ ((x \ 1) \ 1)) = K(L(x,z,u) \ 1,y \ x). [hyper(189,a,7483,a(flip),b,8480,a(flip))]. 8482 K(L(x,y,z) \ 1,u \ x) = K(x \ 1,L(u,y,z) \ x). [hyper(189,a,7439,a(flip),b,8481,a(flip))]. 8483 K(L(x,y,z) \ 1,u \ (x * w)) = K(x \ 1,L(w \ u,y,z) \ x). [hyper(189,a,8109,a(flip),b,8482,a(flip)),flip(a)]. 8484 K(x \ 1,L((y \ z) \ u,y \ z,y) \ x) = K(x \ 1,(y * (x \ u)) \ z). [hyper(189,a,7167,a(flip),b,8483,a(flip))]. 8485 K(x \ 1,(y \ (z * u)) \ x) = K(x \ 1,(z * (x \ u)) \ y). [para(359(a,1),8484(a,1,2,1))]. 8486 K(x \ 1,(y * (x \ z)) \ u) != w | K(x \ 1,(y * z) \ (x * u)) = w. [para(8485(a,1),8069(a,1))]. 8487 K(x,K(K(x \ y,x) * z,R(x \ y,y,u))) * R(K(x \ y,x) * K(z,K(x \ y,x)),y,u) = L((y * u) / ((x * (y / x)) * u),z,K(x \ y,x)). [para(7274(a,1),8046(a,1,1))]. 8488 K(x,K(y,R(x \ z,z,u))) * R(K(x \ z,x) * K(y,K(x \ z,x)),z,u) = L((z * u) / ((x * (z / x)) * u),y,K(x \ z,x)). [para(7145(a,1),8487(a,1,1,2))]. 8490 K(x,K(y,R(z,y,u))) * R(K(x \ y,x) * K(z,K(x \ y,x)),y,u) = L((y * u) / ((x * (y / x)) * u),z,K(x \ y,x)). [para(7273(a,1),8488(a,1,1))]. 8491 L((x * y) / ((z * (x / z)) * y),u,K(z \ x,z)) = K(z,K(x,u)) * R(K(z \ x,z) * K(u,K(z \ x,z)),x,y). [para(7270(a,1),8490(a,1,1)),flip(a)]. 8492 L((x * y) / ((z * (x / z)) * y),u,K(z \ x,z)) = K(z,K(x,u)) * R(K(z \ x,T(z,u)),x,y). [para(6021(a,1),8491(a,2,2,1))]. 8494 L(R(K(x \ y,x),y,z),u,K(x \ y,x)) = K(x,K(y,u)) * R(K(x \ y,T(x,u)),y,z). [para(5675(a,1),8492(a,1,1))]. 8495 K(x,K(y,z)) * R(K(x \ y,T(x,z)),y,u) = R(K(x \ y,x),y,u). [hyper(189,a,6507,a(flip),b,8494,a(flip))]. 8497 K(x,K(y,z)) * L(K(x \ y,T(x,z)),u,y) = R(K(x \ y,x),y,u). [para(8462(a,1),8495(a,1,2))]. 8498 R(K(x \ y,x),y,z) = L(K(x \ y,x),z,y). [hyper(8136,a,8497,a),flip(a)]. 8499 R(K(x \ y,x),y,z) = K(x \ y,x). [hyper(189,a,8443,a(flip),b,8498,a)]. 8501 K(R(x \ y,x,z),x) = K(x \ y,x). [hyper(189,a,7543,a(flip),b,8499,a(flip)),flip(a)]. 8502 K(x / (y * z),z) = K(z \ (x / y),z). [hyper(189,a,8464,a(flip),b,8501,a(flip)),flip(a)]. 8503 K(R(x,y,z),y) = K(y \ (y * x),y). [para(16(a,1),8501(a,1,1,1))]. 8504 K(R(x,y,z),y) = K(R(x,y,u),y). [hyper(189,a,8503,a,b,8503,a)]. 8505 K(R(x,y,z),y) = K(x,y). [hyper(189,a,1215,a(flip),b,8503,a)]. 8506 K(R(x,y,z),T(y,u)) = K(x,T(y,u)). [hyper(8095,a,8505,a)]. 8507 K(x,R(y,x,z)) = K(x,y). [hyper(6752,a,8505,a)]. 8510 K(((x / y) * (z * y)) \ (x * (z * y)),z) = K(y,z). [hyper(8396,a,8507,a)]. 8512 K(x,y / (z * x)) = K(x,x \ (y / z)). [hyper(189,a,7406,a(flip),b,8507,a(flip)),flip(a)]. 8521 T(x,R(y,x,z)) = x * K(R(x,y,u),y). [para(8504(a,1),6754(a,1,2)),flip(a)]. 8524 ((x * y) * z) \ ((y * x) * z) = K(y,T(x,z)). [hyper(189,a,7829,a,b,8506,a(flip)),flip(a)]. 8525 K((T(x,y) \ z) / u,x) = K(x \ (z / u),x). [hyper(189,a,7425,a,b,8502,a(flip)),flip(a)]. 8527 K(x,y / (x * z)) = K(x,x \ (y / z)). [hyper(189,a,6757,a(flip),b,8512,a(flip)),flip(a)]. 8528 T(x,R(y,x,z)) = T(x,y). [hyper(189,a,6471,a(flip),b,8521,a)]. 8532 T(R(x,y,z),(u * (y * z)) / ((x * y) * z)) = T(R(x,y,z),u / R(x,y,z)). [para(397(a,1),8528(a,1,2))]. 8534 x * K(x,x \ (y / (z * u))) = T(x,y / ((x * z) * u)). [para(8527(a,1),8390(a,1,2))]. 8536 K((T(x,y) \ z) / u,R(x,w,v5)) = R(x,w,v5) \ R(x * K(x \ (z / u),x),w,v5). [para(8525(a,1),4741(a,1,2,1,2)),flip(a)]. 8537 K(x,((y / z) * (z * x)) \ (y * (z * x))) = K(x,z). [hyper(189,a,7162,a(flip),b,8510,a(flip)),flip(a)]. 8538 K(((x \ 1) \ y) / y,((z / y) * ((x \ 1) \ T(y,x))) \ (z * (y * (((x \ 1) \ y) / y)))) = K(((x \ 1) \ y) / y,y). [para(3360(a,2),8537(a,1,2,1,2))]. 8539 T(x,y / ((x * z) * u)) = T(x,x \ (y / (z * u))). [hyper(4399,a,8534,a),flip(a)]. 8540 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = T(R(x,z,u),y / R(x,z,u)). [hyper(5484,a,8532,a)]. 8541 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = T(R(x,z,u),R(x,z,u) \ y). [hyper(189,a,3533,a(flip),b,8540,a)]. 8542 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = R(T(x,R(x,z,u) \ y),z,u). [hyper(189,a,45,a,b,8541,a)]. 8543 R(T(x,x \ ((y * (z * u)) / (z * u))),z,u) = R(T(x,R(x,z,u) \ y),z,u). [para(8539(a,1),8542(a,1,1))]. 8544 R(T(x,R(x,y,z) \ u),y,z) = R(T(x,x \ u),y,z). [para(18(a,1),8543(a,1,1,2,2)),flip(a)]. 8545 x / R(T(y,y \ x),z,u) = R(y,z,u) \ x. [para(8544(a,1),233(a,1,2))]. 8546 (R(x,y,z) * u) / (R(T(x,x \ w),y,z) * u) = K(R(x,y,z) \ w,R(x,y,z)). [para(8544(a,1),4613(a,1,2,1))]. 8548 x / R(y \ x,z,u) = R(x / y,z,u) \ x. [para(497(a,1),8545(a,1,2,1))]. 8550 (R(x / y,z,u) \ x) \ x = R(y \ x,z,u). [para(8548(a,1),69(a,1,1))]. 8551 R((x \ y) \ y,z,u) = (R(x,z,u) \ y) \ y. [para(67(a,1),8550(a,1,1,1,1)),flip(a)]. 8552 R(((x * K(y,x)) \ y) \ y,z,u) = (R(x,z,u) \ ((R(x,z,u) * y) / R(x,z,u))) \ y. [para(4742(a,1),8551(a,2,1))]. 8553 K(R(x,y,z) \ u,R(x,y,z)) = K(x \ u,R(x,y,z)). [hyper(189,a,4613,a(flip),b,8546,a(flip))]. 8554 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(8553(a,1),4336(a,1,1,2))]. 8555 K(x \ (R(x,y,z) / u),R(x,y,z)) != w | K(u \ 1,R(x,y,z)) = w. [para(8553(a,1),4517(a,1))]. 8556 K((T(x,y) \ z) / u,R(x,w,v5)) = K(x \ (z / u),R(x,w,v5)). [hyper(189,a,4741,a(flip),b,8536,a)]. 8557 K(x \ (T(y,z) \ R(y,u,w)),R(y,u,w)) = K(y \ (R(y,u,w) / x),R(y,u,w)). [hyper(189,a,7413,a(flip),b,8556,a(flip)),flip(a)]. 8559 K(x \ (T(y,z) \ R(y,u,w)),R(y,u,w)) = K(x \ 1,R(y,u,w)). [hyper(8555,a,8557,a(flip)),flip(a)]. 8560 K((T(x,y) \ z) \ 1,R(x,u,w)) = K(z \ R(x,u,w),R(x,u,w)). [hyper(7799,a,8559,a),flip(a)]. 8561 K(x \ R(y,z,u),R(y,z,u)) = K(x \ y,R(y,z,u)). [hyper(189,a,5569,a(flip),b,8560,a(flip))]. 8562 K(x \ R(y,z,u),T(R(y,z,u),w)) = K(T(x,w) \ y,R(y,z,u)). [hyper(189,a,8301,a(flip),b,8561,a(flip)),flip(a)]. 8563 K(x \ R(y,z,u),T(R(y,z,u),w)) = K(x \ y,R(T(y,w),z,u)). [hyper(189,a,8303,a(flip),b,8562,a)]. 8564 K(x \ R(y,z,u),R(T(y,w),z,u)) = K(x \ y,R(T(y,w),z,u)). [para(45(a,2),8563(a,1,2))]. 8565 K(x * R(y,z,u),R(T(y,w),z,u)) = K((x \ 1) \ y,R(T(y,w),z,u)). [hyper(189,a,7328,a(flip),b,8564,a(flip)),flip(a)]. 8566 K(x * R(y,z,u),R(T(y,w),z,u)) = K(x * y,R(T(y,w),z,u)). [hyper(189,a,7328,a(flip),b,8565,a)]. 8567 K(x * R(y,z,u),R(y,z,u)) = K(x * y,R(T(y,K(x,w)),z,u)). [hyper(189,a,6672,a(flip),b,8566,a(flip)),flip(a)]. 8568 K(x * R(y,z,u),R(y,z,u)) = K(x * y,R(y,z,u)). [para(1827(a,1),8567(a,2,2,1))]. 8569 T(R(x,y,z) * K(u * x,R(x,y,z)),u) = R(R(x,y,z),u,L(R(x,y,z),x \ 1,x)). [para(8568(a,1),5865(a,1,1,2))]. 8570 R(((x * K(y,x)) \ y) \ y,z,u) = (R(x,z,u) \ y) \ T(y,R(x,z,u)). [hyper(189,a,5017,a(flip),b,8552,a)]. 8571 (R(x,y,z) \ u) \ T(u,R(x,y,z)) = R((x \ u) \ T(u,x),y,z). [para(5015(a,1),8570(a,1,1)),flip(a)]. 8572 (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(8571(a,1),8323(a,1,2))]. 8573 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(4732(a,1),8554(a,1,1))]. 8574 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(5484,a,8573,a)]. 8575 L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = R(L(x,x \ u,x),y,z). [para(4336(a,1),8574(a,1,1)),flip(a)]. 8576 L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = L(R(x,y,z),x \ u,x). [hyper(189,a,47,a(flip),b,8575,a)]. 8577 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(8576(a,1),1710(a,1,1,1)),flip(a)]. 8578 T(R(x * K(y * x,x),z,u),y) = R(R(x,z,u),y,L(R(x,z,u),x \ 1,x)). [para(4732(a,1),8569(a,1,1))]. 8579 T(R(x * K(x * y,x),z,u),y) = R(R(x,z,u),y,L(R(x,z,u),x \ 1,x)). [para(4617(a,1),8578(a,1,1,1,2))]. 8580 R(T(x * K(x * y,x),y),z,u) = R(R(x,z,u),y,L(R(x,z,u),x \ 1,x)). [hyper(5484,a,8579,a)]. 8581 R(R(x,y,z),u,L(R(x,y,z),x \ 1,x)) = R(R(x,u,x),y,z). [para(4626(a,1),8580(a,1,1)),flip(a)]. 8582 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(3762(a,1),8572(a,1,2,1)),flip(a)]. 8583 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(189,a,1710,a(flip),b,8577,a)]. 8584 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(45(a,2),8583(a,2,3))]. 8585 K(((x \ 1) \ y) / y,((z / y) * ((x \ 1) \ T(y,x))) \ (z * ((x \ 1) \ y))) = K(((x \ 1) \ y) / y,y). [hyper(189,a,8059,a(flip),b,8538,a(flip)),flip(a)]. 8586 K((x \ 1) \ 1,((y / z) * ((x \ 1) \ T(z,x))) \ (y * ((x \ 1) \ z))) = K(((x \ 1) \ z) / z,z). [hyper(189,a,4767,a(flip),b,8585,a(flip)),flip(a)]. 8587 K((x \ 1) \ 1,((y / z) * T(z,x)) \ ((x \ 1) * (y * ((x \ 1) \ z)))) = K(((x \ 1) \ z) / z,z). [hyper(8486,a,8586,a)]. 8589 K((x \ 1) \ 1,(y * K(z,x)) \ ((x \ 1) * (y * ((x \ 1) \ z)))) = K(((x \ 1) \ z) / z,z). [para(5140(a,1),8587(a,1,2,1))]. 8590 K(((x \ 1) \ y) / y,y) = K(x,(z * K(y,x)) \ ((x \ 1) * (z * ((x \ 1) \ y)))). [hyper(2659,a,8589,a),flip(a)]. 8591 K(((x \ 1) \ y) / y,y) = K(x,(z * K(y,x)) \ (x \ (z * ((x \ 1) \ y)))). [hyper(189,a,8060,a(flip),b,8590,a)]. 8592 K(((x \ 1) \ y) / y,y) = K(x,z \ (x \ (z * ((x \ 1) \ y)))). [hyper(189,a,6422,a(flip),b,8591,a)]. 8594 K(((x \ 1) \ y) / y,y) = K(x,L(y,x,z)). [hyper(189,a,7490,a(flip),b,8592,a)]. 8595 K(x,L(y,x,z)) = K(x,y). [hyper(4771,a,8594,a),flip(a)]. 8597 K(x,L(y,x,z)) != u | K(x,y) = u. [para(8594(a,1),4771(a,1))]. 8598 T(x,L(y,x,z)) = x * K(x,y). [para(8595(a,1),4396(a,2,2))]. 8601 T(x,L(y,x,z)) = T(x,y). [hyper(189,a,4396,a,b,8598,a)]. 8604 T(x,y \ (x \ (y * z))) = T(x,x \ z). [hyper(189,a,6552,a(flip),b,8601,a(flip)),flip(a)]. 8605 L(x,y,z) * T(y,x) = y * L(x,y,z). [para(8601(a,1),113(a,1,2))]. 8607 T(L(x,y,z),(z * (y * x)) \ ((z * y) * u)) = T(L(x,y,z),L(x,y,z) \ u). [para(368(a,1),8601(a,1,2))]. 8608 L(K(x,y),z * x,u) != w | K(L(x,z,u),y) = w. [para(6770(a,1),8597(a,1))]. 8609 K(x,y \ (x \ z)) != u | K(x,x \ (y \ z)) = u. [para(7201(a,1),8597(a,1))]. 8612 ((x * T(y,x)) * L(x,y,z)) \ (x * (y * L(x,y,z))) = K(L(x,y,z),x * T(y,x)). [para(8605(a,1),965(a,1,2,2))]. 8615 T(L(x,y,z),(z * (y * x)) \ ((z * y) * u)) = L(T(x,L(x,y,z) \ u),y,z). [hyper(189,a,43,a,b,8607,a)]. 8616 L(T(x,(y * (z * x)) \ ((y * z) * u)),z,y) = L(T(x,L(x,z,y) \ u),z,y). [hyper(189,a,43,a,b,8615,a(flip)),flip(a)]. 8617 ((x * y) * L(y,x,z)) \ (y * (x * L(y,x,z))) = K(L(y,x,z),y * T(x,y)). [para(113(a,1),8612(a,1,1,1))]. 8618 K(L(x,y,z),x * T(y,x)) = K(x,y * L(x,y,z)). [hyper(1256,a,8617,a),flip(a)]. 8619 K(L(x,y,z),y * x) = K(x,y * L(x,y,z)). [para(113(a,1),8618(a,1,2))]. 8620 K(x,y * L(x,y,z)) = K(x,x * y). [hyper(5547,a,8619,a),flip(a)]. 8622 L(K(x,x * y),z * x,u) = K(L(x,z,u),y * L(x,y,w)). [para(8620(a,1),5541(a,1,1))]. 8623 K(L(x,y,z),u * L(x,u,w)) = K(L(x,y,z),x * u). [hyper(8608,a,8622,a),flip(a)]. 8624 L(K(L(x,y,z),x * y),y,z) = K(x,x * y). [para(8623(a,1),7092(a,1,1))]. 8625 L(K(x,x * y),y,z) = K(x,x * y). [para(6617(a,1),8624(a,1,1))]. 8627 (x * (y \ T(z * y,y))) \ (x * T(z,y)) = K(y,y * z). [hyper(189,a,7135,a,b,8625,a(flip)),flip(a)]. 8628 K(x,y \ (z * x)) = K(x,x * (y \ z)). [hyper(189,a,7683,a(flip),b,8625,a(flip)),flip(a)]. 8629 1 / L(K(x,x * y),y,z) = K(x * y,x). [para(8625(a,2),3875(a,1,2))]. 8631 K(x,(y \ z) \ x) = K(x,x * (z \ y)). [hyper(5927,a,8628,a)]. 8633 K(x,y \ (x * z)) = K(x,x * (y \ z)). [hyper(189,a,7617,a(flip),b,8628,a(flip)),flip(a)]. 8634 K(x,x * (y \ (x \ z))) = K(x,y \ z). [hyper(189,a,7616,a(flip),b,8628,a(flip))]. 8635 L(K(x,x * (y \ z)),u * x,w) = K(L(x,u,w),y \ (z * x)). [para(8628(a,1),5541(a,1,1))]. 8636 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(189,a,7696,a(flip),b,8633,a(flip)),flip(a)]. 8637 L(K(x,x * (y \ (z \ u))),z \ u,z) = K(x,(z * (x \ y)) \ u). [para(8633(a,1),6240(a,1,1))]. 8638 L(K(x * y,x),y,z) = K(x * y,x). [hyper(5894,a,8629,a)]. 8639 1 / ((x * (y \ T(y * z,y))) \ (x * z)) = K(y * z,y). [para(5923(a,2),8629(a,1,2))]. 8640 K(x * ((y * z) \ y),x) = K(z \ x,x). [hyper(189,a,7698,a(flip),b,8638,a(flip))]. 8642 K((x \ y) \ z,z) = K(z * (y \ x),z). [para(17(a,1),8640(a,1,1,2,1)),flip(a)]. 8643 K(x * L(y \ 1,y,z),x) = K(y \ x,x). [para(140(a,2),8640(a,1,1,2))]. 8644 K(x * ((y * (z * u)) \ (y * z)),x) = K(L(u,z,y) \ x,x). [para(102(a,1),8640(a,1,1,2,1))]. 8645 K((x / y) \ z,z) = K(z * (y / x),z). [para(8452(a,1),8640(a,1,1,2)),flip(a)]. 8646 K(x \ (y * z),z) = K(z * (x \ y),z). [hyper(189,a,5535,a(flip),b,8642,a(flip)),flip(a)]. 8647 K((x \ y) \ z,x) = K(x * (y \ z),x). [hyper(6988,a,8646,a)]. 8648 L(x * K(x * (y \ z),x),u,w) / L(x,u,w) = K(y \ (z * x),L(x,u,w)). [para(8646(a,1),4737(a,1,1,1,2))]. 8649 L(K(x * (y \ (z \ u)),x),z \ u,z) = K((z * (x \ y)) \ u,x). [para(8647(a,1),5528(a,1,1))]. 8651 L(K(x \ ((y \ 1) \ x),(x \ ((y \ 1) \ x)) * T(x,y)),T(x,y),z) = K(y,y * x). [hyper(189,a,8274,a,b,8627,a(flip)),flip(a)]. 8652 T(K(x * y,T(x,z)),z) = 1 / ((u * (x \ T(x * y,x))) \ (u * y)). [hyper(189,a,6023,a,b,8639,a),flip(a)]. 8653 K(L(x,y,z),u \ (w * x)) = K(L(x,y,z),x * (u \ w)). [hyper(8608,a,8635,a),flip(a)]. 8654 K(L(x,y,z),u \ (x * w)) = K(L(x,y,z),x * (u \ w)). [hyper(7058,a,8653,a)]. 8655 K(L(x,y,z),x * (u \ L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). [hyper(189,a,7703,a(flip),b,8654,a(flip))]. 8656 T(K(x,K(y,z)) * K(y * z,y),x) = 1 / ((u * (y \ T(y * z,y))) \ (u * z)). [para(5996(a,2),8652(a,1,1))]. 8657 K(x \ (y * z),L(z,u,w)) = K(z * (x \ y),L(z,u,w)). [hyper(4883,a,8648,a),flip(a)]. 8658 K((x \ y) \ z,L(z,u,w)) = K(z * (y \ x),L(z,u,w)). [hyper(189,a,5920,a,b,8657,a(flip)),flip(a)]. 8659 1 / ((x * (y \ T(y * z,y))) \ (x * z)) = K(u,K(y,z)) * K(y * z,T(y,u)). [hyper(6349,a,8656,a),flip(a)]. 8660 L(K(x * y,T(y,z)),x,z) = K(y * x,T(y,z)). [hyper(8287,a,8659,a)]. 8661 K((x / (x * y)) \ z,z) = K(z * y,T(z,x)). [hyper(189,a,7733,a(flip),b,8660,a(flip)),flip(a)]. 8663 K(x * ((y * z) / y),x) = K(x * z,T(x,y)). [hyper(189,a,8645,a(flip),b,8661,a(flip)),flip(a)]. 8664 K(x * (y \ z),T(x,y)) = K(x * (z / y),x). [para(17(a,1),8663(a,1,1,2,1)),flip(a)]. 8665 K(x * (y \ z),T(x,z)) = K(x * (z / y),x). [hyper(189,a,7585,a,b,8664,a(flip)),flip(a)]. 8666 K(x * (y / z),x) * K(x,T(z \ y,y)) = a(x,z \ y,x). [para(8665(a,1),8029(a,1,1))]. 8667 K(x * (y / z),x) * K(x,y / z) = a(x,z \ y,x). [para(6060(a,1),8666(a,1,2))]. 8668 a(x,y / z,x) = a(x,z \ y,x). [hyper(7954,a,8667,a)]. 8670 L(K(x \ ((y \ 1) \ x),(x \ ((y \ 1) \ x)) * T(x,y)),T(x,y),z) = K(y,x * y). [hyper(189,a,4576,a,b,8651,a)]. 8671 L(K(x \ ((y \ 1) \ x),(y \ 1) \ x),T(x,y),z) = K(y,x * y). [para(3755(a,1),8670(a,1,1,2))]. 8672 L(K((x \ 1) \ 1,(x \ 1) \ y),T(y,x),z) = K(x,y * x). [para(4262(a,1),8671(a,1,1))]. 8673 L(K(x,(x \ 1) \ y),T(y,x),z) = K(x,y * x). [para(2648(a,1),8672(a,1,1))]. 8674 L(K(x,x * y),T(y,x),z) = K(x,y * x). [para(6142(a,1),8673(a,1,1))]. 8675 L(K(x,y * x),T(y,x),z) = K(x,y * x). [para(4576(a,2),8674(a,1,1))]. 8676 L(K(x,y * x),y,z) = K(x,y * x). [hyper(189,a,6612,a(flip),b,8675,a(flip)),flip(a)]. 8677 L(K(x * y,y),x,z) = 1 / K(y,x * y). [para(8676(a,1),5892(a,1,2)),flip(a)]. 8678 L(K(x * y,y),x,z) = K(x * y,y). [hyper(189,a,3875,a(flip),b,8677,a)]. 8679 L(K(x * L(y,z,u),x),L(y,z,u),u * z) = L(K(y * x,x),z * y,u). [para(8678(a,1),5856(a,1,1)),flip(a)]. 8680 L(K(x * y,y),z * x,u) = K(y * L(x,z,u),y). [hyper(189,a,8638,a(flip),b,8679,a(flip))]. 8683 L(K((x \ (y \ z)) * u,u),x * (x \ (y \ z)),y) = K(u * ((y * x) \ z),u). [para(183(a,1),8680(a,2,1,2))]. 8684 L(K(L(x \ 1,x,y) * z,z),(y * x) * L(x \ 1,x,y),u) = K(z * ((u * (y * x)) \ (u * y)),z). [para(309(a,1),8680(a,2,1,2))]. 8685 L(K(x * (y \ (z \ u)),x),y * (y \ (z \ u)),z) = K(x * ((z * y) \ u),x). [para(4617(a,1),8683(a,1,1))]. 8686 L(K(x * (y \ (z \ u)),x),z \ u,z) = K(x * ((z * y) \ u),x). [para(17(a,1),8685(a,1,2))]. 8687 K((x * (y \ z)) \ u,y) = K(y * ((x * z) \ u),y). [hyper(189,a,8649,a(flip),b,8686,a(flip)),flip(a)]. 8689 K(x * ((y * (x * z)) \ u),x) = K((y * z) \ u,x). [para(16(a,1),8687(a,1,1,1,2)),flip(a)]. 8690 L(x * K(x * ((y * z) \ u),x),w,v5) \ L(x,w,v5) = K(L(x,w,v5),(y * (x \ z)) \ u). [para(8687(a,1),4738(a,1,1,1,2))]. 8691 K(L(x,y,z),(u * (x \ w)) \ v5) = K(L(x,y,z),x * ((u * w) \ v5)). [hyper(4884,a,8690,a),flip(a)]. 8693 L(K(x * L(y \ 1,y,z),x),(z * y) * L(y \ 1,y,z),u) = K(x * ((u * (z * y)) \ (u * z)),x). [para(4617(a,1),8684(a,1,1))]. 8694 L(K(x \ y,y),(z * x) * L(x \ 1,x,z),u) = K(y * ((u * (z * x)) \ (u * z)),y). [para(8643(a,1),8693(a,1,1))]. 8695 K(x * ((y * (z * u)) \ (y * z)),x) = L(K(u \ x,x),z,y). [para(278(a,1),8694(a,1,2)),flip(a)]. 8697 L(K(x \ y,y),z,u) = K(L(x,z,u) \ y,y). [hyper(189,a,8644,a(flip),b,8695,a(flip))]. 8698 K(L(x,y,z) \ u,u) \ 1 = L(K(u,x \ u),y,z). [para(8697(a,1),5890(a,1,1))]. 8699 L(K(x,y \ x),z,u) = K(x,L(y,z,u) \ x). [hyper(3872,a,8698,a),flip(a)]. 8700 L(K(x,x * (y \ z)),u,w) = K(x,L(z \ y,u,w) \ x). [para(8631(a,1),8699(a,1,1))]. 8701 K(x,L((y \ z) \ u,y \ z,y) \ x) = K(x,(y * (x \ u)) \ z). [hyper(189,a,8637,a(flip),b,8700,a(flip))]. 8702 K(x,(y \ (z * u)) \ x) = K(x,(z * (x \ u)) \ y). [para(359(a,1),8701(a,1,2,1))]. 8703 K(x,(y * (x \ z)) \ u) = K(x,x * ((y * z) \ u)). [hyper(189,a,8631,a(flip),b,8702,a(flip))]. 8705 K(x,(y * (z / x)) \ u) = K(x,x * ((y * z) \ u)). [hyper(6431,a,8703,a)]. 8706 K(x,(y * (x \ z)) \ (x \ u)) = K(x,(y * z) \ u). [hyper(189,a,8634,a(flip),b,8703,a)]. 8707 K(x,x * ((y * (x * z)) \ u)) = K(x,(y * z) \ u). [para(16(a,1),8703(a,1,2,1,2)),flip(a)]. 8708 K(x,x \ ((y * (x \ z)) \ u)) = K(x,(y * z) \ u). [hyper(8609,a,8706,a)]. 8709 K(x,(y * (x * z)) \ u) = K(x,(y * z) \ (x \ u)). [para(16(a,1),8706(a,1,2,1,2)),flip(a)]. 8710 ((x * (y * z)) \ u) \ T(y * ((x * (y * z)) \ u),K(w,y)) = T(y,(x * (y * z)) \ u) * K(w,K(y,(x * z) \ u)). [para(8707(a,1),7390(a,1,2,2)),flip(a)]. 8711 K(x,(y * z) \ u) * T(x * K(((y * (x * z)) \ u) * x,x),(y * (x * z)) \ u) = T(x,T((y * (x * z)) \ u,x)). [para(8707(a,1),7408(a,1,1))]. 8712 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(5073(a,1),8708(a,1,2,2,1,2))]. 8713 K(L(x,y,z),x \ ((u * (x \ w)) \ v5)) = L(K(x,(u * w) \ v5),y * x,z). [para(8708(a,1),5541(a,1,1)),flip(a)]. 8714 K(L(x,y,z),x \ ((u * (x \ w)) \ v5)) != v6 | K(L(x,y,z),(u * w) \ v5) = v6. [para(8713(a,2),8608(a,1))]. 8715 ((x * (y * z)) \ u) \ T(y * ((x * (y * z)) \ u),K(w,y)) = K(y,(x * (y * z)) \ u) * T(y,K(w,(x * z) \ u)). [hyper(189,a,5975,a,b,8710,a)]. 8716 K(x,(y * z) \ u) * T(x * K(x * ((y * (x * z)) \ u),x),(y * (x * z)) \ u) = T(x,T((y * (x * z)) \ u,x)). [para(4617(a,1),8711(a,1,2,1,2))]. 8717 ((x * (y * z)) \ u) \ T(y * ((x * (y * z)) \ u),K(w,y)) = K(y,(x * z) \ (y \ u)) * T(y,K(w,(x * z) \ u)). [para(8709(a,1),8715(a,2,1))]. 8718 K(x,(y * z) \ u) * T(x * K((y * z) \ u,x),(y * (x * z)) \ u) = T(x,T((y * (x * z)) \ u,x)). [para(8689(a,1),8716(a,1,2,1,2))]. 8719 T(x,T((y * (x * z)) \ u,(y * z) \ u)) = T(x,T((y * (x * z)) \ u,x)). [hyper(6378,a,8718,a)]. 8720 T(x,T((y * (x * z)) \ u,(y * z) \ u)) != w | T(x,(y * (x * z)) \ u) = w. [para(8719(a,2),3594(a,1))]. 8721 ((x * (y * z)) \ u) \ T(y * ((x * (y * z)) \ u),K(w,y)) = T(y,T((x * z) \ (y \ u),w)). [hyper(189,a,7661,a(flip),b,8717,a)]. 8722 ((x * (y * z)) \ u) \ T(y * ((x * (y * z)) \ u),K(y,w)) = T(y,T((x * z) \ (y \ u),w)). [para(6118(a,1),8721(a,1,2))]. 8723 T(x,T((y * (x * z)) \ u,w)) = T(x,T((y * z) \ (x \ u),w)). [hyper(7221,a,8722,a)]. 8724 T(x,T((y * z) \ (x \ u),(y * z) \ u)) = T(x,(y * (x * z)) \ u). [hyper(8720,a,8723,a),flip(a)]. 8725 T(x,(y * (x * z)) \ u) = T(x,(y * z) \ (x \ u)). [hyper(189,a,7605,a(flip),b,8724,a(flip))]. 8726 T(x,(y * (z * x)) \ u) = T(x,(y * z) \ (x \ u)). [hyper(189,a,6842,a,b,8725,a(flip)),flip(a)]. 8727 L(T(x,(y * z) \ (x \ ((y * z) * u))),z,y) = L(T(x,L(x,z,y) \ u),z,y). [para(8726(a,1),8616(a,1,1))]. 8728 L(T(x,L(x,y,z) \ u),y,z) = L(T(x,x \ u),y,z). [para(8604(a,1),8727(a,1,1)),flip(a)]. 8729 (L(x,y,z) \ u) / (L(T(x,x \ w),y,z) \ u) = K(L(x,y,z),L(x,y,z) \ w). [para(8728(a,1),4610(a,1,2,1))]. 8731 K(L(x,y,z),L(x,y,z) \ u) = K(L(x,y,z),x \ u). [hyper(189,a,4610,a(flip),b,8729,a(flip))]. 8732 K(L(x,y,z),x \ ((u * (x \ (1 / L(x,y,z)))) \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). [hyper(189,a,8712,a(flip),b,8731,a(flip))]. 8733 K(L(x,y,z),(u * (1 / L(x,y,z))) \ w) = K(L(x,y,z),(u * (1 / x)) \ w). [hyper(8714,a,8732,a)]. 8734 K(L(x,y,z),L(x,y,z) * ((u * 1) \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). [hyper(189,a,8705,a(flip),b,8733,a(flip)),flip(a)]. 8735 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). [para(15(a,1),8734(a,1,2,2,1))]. 8736 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),(u * (x \ 1)) \ w). [hyper(189,a,7448,a(flip),b,8735,a)]. 8737 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),x * ((u * 1) \ w)). [hyper(189,a,8691,a(flip),b,8736,a)]. 8738 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),x * (u \ w)). [para(15(a,1),8737(a,2,2,2,1))]. 8739 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(189,a,8636,a,b,8738,a(flip)),flip(a)]. 8740 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(189,a,8655,a(flip),b,8739,a)]. 8742 K(L(x,y,z),u \ L(x,y,z)) = K(L(x,y,z),u \ x). [para(2794(a,1),8740(a,1,2))]. 8743 K(x \ L(y,z,u),L(y,z,u)) = (w * K(L(y,z,u),x \ y)) \ w. [para(8742(a,1),3918(a,1,1,2)),flip(a)]. 8744 K(x \ L(y,z,u),L(y,z,u)) = K(x \ y,L(y,z,u)). [hyper(189,a,3918,a(flip),b,8743,a)]. 8745 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(8744(a,1),5445(a,1,1,2))]. 8746 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(8658(a,1),8745(a,1,1,2))]. 8747 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(58(a,1),8746(a,1,1,2,1,2))]. 8748 T(L(x * K(x * y,x),z,u),y) = y \ T(L(x,z,u) * y,L(x,z,u)). [para(4729(a,1),8747(a,1,1))]. 8749 L(T(x * K(x * y,x),y),z,u) = y \ T(L(x,z,u) * y,L(x,z,u)). [hyper(189,a,43,a,b,8748,a(flip)),flip(a)]. 8750 x \ T(L(y,z,u) * x,L(y,z,u)) = L(R(y,x,y),z,u). [para(4626(a,1),8749(a,1,1)),flip(a)]. 8751 R(L(x,y,z),u,L(x,y,z)) = L(R(x,u,x),y,z). [hyper(3672,a,8750,a)]. 8752 (x * y) * L(R(z,u,z),y,x) = x * (y * R(z,u,L(z,y,x))). [para(8751(a,1),351(a,1,2))]. 8753 x * R(y,z,L(y,x,u)) = x * R(y,z,y). [hyper(340,a,8752,a),flip(a)]. 8754 R(x,y,L(x,z,u)) = R(x,y,x). [hyper(260,a,8753,a),flip(a)]. 8758 R(R(x,y,z),u,R(x,y,z)) = R(R(x,u,x),y,z). [hyper(189,a,8581,a(flip),b,8754,a(flip))]. 8760 (x / y) * R(y,z,y) = x * a(y,z,L(y,u,w)). [para(8754(a,1),8025(a,1,2))]. 8762 (R(x,y,R(x,z,u)) * z) * u = R(R(x,y,x),z,u) * (z * u). [para(8758(a,1),382(a,1,1)),flip(a)]. 8763 a(x,y,L(x,z,u)) = a(x,y,x). [hyper(8329,a,8760,a),flip(a)]. 8765 (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(8758(a,1),8760(a,1,2))]. 8766 (R(x,y,R(x,z,u)) * z) * u = (R(x,y,x) * z) * u. [hyper(189,a,110,a(flip),b,8762,a)]. 8767 (R(T(x,y),z,T(x,y)) * u) * w = (R(T(x,y),z,R(x,u,w)) * u) * w. [para(7411(a,1),8766(a,1,1,1)),flip(a)]. 8768 (x * (K(y,z) * K(u,y))) / T((K(z,y) * (K(y,u) * x)) * (K(y,z) * K(u,y)),K(y,u) * K(z,y)) = T(K(y,z) * K(u,y),(K(y,z) * K(u,y)) \ x). [para(8169(a,1),8178(a,1,2,1,1))]. 8769 (x * (K(y,z) * K(u,y))) / T(T((K(y,u) * x) * K(u,y),K(y,z)),K(y,u) * K(z,y)) = T(K(y,z) * K(u,y),(K(y,z) * K(u,y)) \ x). [para(7761(a,1),8768(a,1,2,1))]. 8770 (x * (K(y,z) * K(u,y))) / T(T(T(x,K(y,u)),K(y,z)),K(y,u) * K(z,y)) = T(K(y,z) * K(u,y),(K(y,z) * K(u,y)) \ x). [para(6115(a,1),8769(a,1,2,1,1))]. 8771 (x * (K(y,z) * K(u,y))) / T(T(x,K(y,z) * K(u,y)),K(y,u) * K(z,y)) = T(K(y,z) * K(u,y),(K(y,z) * K(u,y)) \ x). [para(8164(a,1),8770(a,1,2,1))]. 8772 T(K(x,y) * K(z,x),(K(x,y) * K(z,x)) \ u) = (u * (K(x,y) * K(z,x))) / u. [para(8205(a,1),8771(a,1,2)),flip(a)]. 8773 T(K(x,y) * K(z,x),(K(x,y) * K(z,x)) \ u) = T(K(x,y) * K(z,x),u). [hyper(189,a,8212,a(flip),b,8772,a)]. 8774 T(K(x,y) * K(z,x),K(y,x) * (K(x,z) * u)) = T(K(x,y) * K(z,x),u). [para(8169(a,1),8773(a,1,2))]. 8775 T(K(x,y) * K(z,x),K(x,z) * u) = T(K(x,y) * K(z,x),u). [hyper(189,a,8370,a(flip),b,8774,a(flip)),flip(a)]. 8776 (K(x,y) * z) \ (K(x,u) * z) = T(K(x,u) * K(y,x),z). [hyper(189,a,8181,a(flip),b,8775,a(flip)),flip(a)]. 8777 K(x,T(y,z)) * K(u,T(x,z)) = T(K(x,y) * K(u,x),z). [hyper(189,a,6736,a(flip),b,8776,a(flip)),flip(a)]. 8778 K(x,T(y,z)) * (K(u,T(x,z)) * w) = T(K(x,y) * K(u,x),z) * w. [para(8777(a,1),8168(a,1,1)),flip(a)]. 8779 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(189,a,7741,a(flip),b,8778,a(flip))]. 8780 R(T(x,y),z,R(x,u,w)) * (T(x,y) \ v5) = a(x,z,R(x,u,w)) * v5. [para(8184(a,1),8779(a,1,1)),flip(a)]. 8782 R(T(x,y) * K(y * L(x,z,u),T(x,y)),w,v5) * (((x * y) * L(x,z,u)) / T(x,y)) = (((x * y) * L(x,z,u)) / T(x,y)) * R(T(x,y),w,v5). [para(3876(a,1),4948(a,1,1,1,2))]. 8783 R(R(x,y,L(x,z,u)),w,v5) * (((x * y) * L(x,z,u)) / T(x,y)) = (((x * y) * L(x,z,u)) / T(x,y)) * R(T(x,y),w,v5). [para(5048(a,1),8782(a,1,1,1))]. 8784 R(R(x,y,L(x,z,u)),w,v5) * (y * L(x,z,u)) = (((x * y) * L(x,z,u)) / T(x,y)) * R(T(x,y),w,v5). [para(1271(a,1),8783(a,1,2))]. 8785 (((x * y) * L(x,z,u)) / T(x,y)) * R(T(x,y),w,v5) = (R(x,w,v5) * y) * L(x,z,u). [hyper(639,a,8784,a),flip(a)]. 8786 (x * L(y,z,u)) * R(T(y,x),w,v5) = (R(y,w,v5) * x) * L(y,z,u). [para(1271(a,1),8785(a,1,1))]. 8787 (x * L(y,z,u)) * a(T(y,y \ x),w,T(y,y \ x)) = (R(y,w,y) * (y \ x)) * L(y,z,u). [hyper(189,a,8355,a,b,8786,a(flip)),flip(a)]. 8788 (x * L(y,z,u)) * a(T(y,y \ x),w,T(y,y \ x)) = (x * a(y,w,y)) * L(y,z,u). [para(8322(a,1),8787(a,2,1))]. 8789 (x * L(y,z,u)) * a(T(y,y \ x),w,T(y,y \ x)) = x * (a(y,w,y) * L(y,z,u)). [hyper(189,a,8354,a(flip),b,8788,a)]. 8790 (x * L(y,z,u)) * a(y,w,y) = x * (a(y,w,y) * L(y,z,u)). [para(8003(a,1),8789(a,1,2))]. 8791 (x * (a(y,z,y) * L(y,u,w))) \ ((x * (a(y,z,y) * L(y,u,w))) * a(y,z,y)) = L(a(y,z,y),L(y,u,w),x). [para(8790(a,1),7739(a,1,1))]. 8793 L(a(x,y,x),L(x,z,u),w) != v5 | a(x,y,x) = v5. [para(8791(a,1),237(a,1)),flip(b)]. 8794 ((((x \ L(x,y,z)) * u) / (((L(x,y,z) \ x) * (x \ L(x,y,z))) * u)) \ 1) \ 1 = K(x \ L(x,y,z),L(x,y,z) \ x) * (((x \ L(x,y,z)) * u) / (1 * u)). [para(2619(a,1),8231(a,2,1))]. 8795 ((((x \ L(x,y,z)) * u) / (((L(x,y,z) \ x) * (x \ L(x,y,z))) * u)) \ 1) \ 1 = K(x \ L(x,y,z),a(z,y,x)) * (((x \ L(x,y,z)) * u) / (1 * u)). [para(5621(a,1),8794(a,2,1))]. 8796 ((((x \ L(x,y,z)) * u) / (((L(x,y,z) \ x) * (x \ L(x,y,z))) * u)) \ 1) \ 1 = K(x \ L(x,y,z),a(z,y,x)) * (((x \ L(x,y,z)) * u) / u). [para(14(a,1),8795(a,2,2,2))]. 8797 ((((x \ L(x,y,z)) * u) / (((L(x,y,z) \ x) * (x \ L(x,y,z))) * u)) \ 1) \ 1 = K(x \ L(x,y,z),a(z,y,x)) * (x \ L(x,y,z)). [para(18(a,1),8796(a,2,2))]. 8798 ((((x \ L(x,y,z)) * u) / (((L(x,y,z) \ x) * (x \ L(x,y,z))) * u)) \ 1) \ 1 = T(x \ L(x,y,z),a(z,y,x)). [hyper(189,a,4403,a,b,8797,a)]. 8800 T(x \ L(x,y,z),a(z,y,x)) = ((((x \ L(x,y,z)) * u) / (1 * u)) \ 1) \ 1. [para(8229(a,1),8798(a,1,1,1,2,1)),flip(a)]. 8801 T(x \ L(x,y,z),a(z,y,x)) = ((((x \ L(x,y,z)) * u) / u) \ 1) \ 1. [para(14(a,1),8800(a,2,1,1,2))]. 8803 T(x \ L(x,y,z),a(z,y,x)) = ((x \ L(x,y,z)) \ 1) \ 1. [para(18(a,1),8801(a,2,1,1))]. 8804 (L(x,y,z) \ x) * (((x \ L(x,y,z)) \ 1) \ 1) = K(x \ L(x,y,z),a(z,y,x)). [para(8803(a,1),8230(a,1,2))]. 8805 (x \ L(x,y,z)) * (L(x,y,z) \ x) = K(x \ L(x,y,z),a(z,y,x)). [hyper(1997,a,8804,a)]. 8806 K(x \ L(x,y,z),a(z,y,x)) = 1. [hyper(7869,a,8805,a),flip(a)]. 8807 x * K(y \ L(y,z,u),a(u,z,y)) = x. [para(8806(a,2),15(a,1,2))]. 8808 K(a(x,y,z),z \ L(z,y,x)) = 1. [hyper(3879,a,8807,a)]. 8809 1 / a(x,y,z) = a(x,y,z) \ 1. [para(8808(a,1),5018(a,1,2)),flip(a)]. 8810 (a(x,y,z) \ 1) \ 1 = a(x,y,z). [para(8809(a,1),69(a,1,1))]. 8811 (a(x,y,z) \ 1) \ 1 != u | a(x,y,z) = u. [para(8809(a,1),236(a,1,1)),flip(b)]. 8813 (a(x,y,R(x,z,u)) \ 1) \ 1 = a(R(x,z,u),y,x). [para(7911(a,1),8810(a,1,1))]. 8814 a(x,y,x) * K(z * x,a(x,y,x)) = R(a(x,y,x),x,z). [para(8810(a,1),8347(a,2,1))]. 8815 a(R(x,y,z),u,x) = a(x,u,R(x,y,z)). [hyper(8811,a,8813,a),flip(a)]. 8816 a(R(x,y,z),u,x) != w | a(x,u,R(x,y,z)) = w. [para(8813(a,1),8811(a,1))]. 8817 (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(189,a,6829,a,b,8815,a),flip(a)]. 8818 R(a(x,y,x),x,z) = a(x,y,x). [hyper(7992,a,8814,a),flip(a)]. 8819 ((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(189,a,379,a,b,8818,a(flip)),flip(a)]. 8820 (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(7950(a,1),8819(a,1,1,1))]. 8821 ((R(x,y,R(x,z,u)) * z) * u) / ((x * z) * u) = a(R(x,z,u),y,R(x,z,u)). [para(382(a,1),8820(a,1,1))]. 8822 ((R(x,y,x) * z) * u) / ((x * z) * u) = a(R(x,z,u),y,R(x,z,u)). [para(8766(a,1),8821(a,1,1))]. 8823 a(R(x,y,z),u,R(x,y,z)) != w | R(a(x,u,x),x * y,z) = w. [para(8822(a,1),8341(a,1))]. 8824 (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(5611(a,1),8817(a,1,1,2))]. 8825 (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(501(a,1),8824(a,1,1))]. 8826 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(160(a,1),8825(a,1,2)),flip(a)]. 8827 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(189,a,1710,a(flip),b,8826,a)]. 8828 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(45(a,2),8827(a,2,3))]. 8829 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(8816,a,8828,a)]. 8830 a(x,T(x,y) \ y,R(x,z,u)) = a(x,x \ y,R(T(x,y),z,u)). [hyper(189,a,7898,a(flip),b,8829,a(flip)),flip(a)]. 8832 a(x,x \ y,R(T(x,y),z,u)) = a(x,x \ y,R(x,z,u)). [hyper(189,a,7922,a(flip),b,8830,a(flip))]. 8834 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(189,a,8584,a,b,8832,a(flip)),flip(a)]. 8835 a(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = a(x,x \ u,R(x,y,z)). [hyper(7961,a,8834,a)]. 8836 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,y \ (w * y),R(y,z,u)). [para(8835(a,1),8582(a,1,2)),flip(a)]. 8837 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,T(w,y),R(y,z,u)). [para(35(a,2),8836(a,2,2,2))]. 8838 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,w,R(y,z,u)). [para(7921(a,1),8837(a,2,2))]. 8839 x * a(R(y,z,u),w,L(R(y,z,u),v5,v6)) = x * a(y,w,R(y,z,u)). [hyper(189,a,8765,a(flip),b,8838,a(flip)),flip(a)]. 8840 x * a(R(y,z,u),w,R(y,z,u)) = x * a(y,w,R(y,z,u)). [para(262(a,1),8839(a,1,2,3))]. 8841 a(R(x,y,z),u,R(x,y,z)) = a(x,u,R(x,y,z)). [hyper(7985,a,8840,a)]. 8842 R(a(x,y,x),x * z,u) = a(x,y,R(x,z,u)). [hyper(8823,a,8841,a)]. 8843 a(x,y,R(x,x \ z,u)) = R(a(x,y,x),z,u). [para(17(a,1),8842(a,1,2)),flip(a)]. 8844 R(x,y,R(x,x \ z,u)) = x * R(a(x,y,x),z,u). [para(8843(a,1),7885(a,1,2)),flip(a)]. 8845 R(T(x,y),z,R(x,x \ u,w)) = T(x,y) * R(a(x,z,x),u,w). [para(8843(a,1),7895(a,1,2)),flip(a)]. 8846 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(189,a,7411,a(flip),b,8844,a(flip))]. 8847 R(T(x,y),z,R(x,T(x,y) \ u,w)) = T(x,y) * R(a(x,z,x),u,w). [para(8003(a,1),8846(a,1,2,1)),flip(a)]. 8848 R(T(x,y),z,R(x,T(x,y) \ u,w)) = R(T(x,y),z,R(x,x \ u,w)). [hyper(189,a,8845,a,b,8847,a)]. 8850 (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(8848(a,1),8767(a,2,1,1))]. 8851 (R(T(x,y),z,T(x,y)) * (T(x,y) \ u)) * w = (a(x,z,R(x,x \ u,w)) * u) * w. [para(8780(a,1),8850(a,2,1))]. 8853 (R(T(x,y),z,T(x,y)) * (T(x,y) \ u)) * w = (R(a(x,z,x),u,w) * u) * w. [para(8843(a,1),8851(a,2,1,1))]. 8854 (R(T(x,y),z,x) * (T(x,y) \ u)) * w = (R(a(x,z,x),u,w) * u) * w. [para(6434(a,1),8853(a,1,1,1))]. 8856 (T(x,y) * (L(T(x,y),z,x) \ u)) * w = (R(a(x,z,x),u,w) * u) * w. [para(8344(a,1),8854(a,1,1))]. 8857 (R(a(x,y,x),z,u) * z) * u = (z * a(x,y,x)) * u. [para(7966(a,1),8856(a,1,1)),flip(a)]. 8858 ((a(x,y,x) * z) * u) \ ((z * a(x,y,x)) * u) = a(R(a(x,y,x),z,u),z,u). [para(8857(a,1),377(a,1,2))]. 8859 a(R(a(x,y,x),z,u),z,u) = K(z,T(a(x,y,x),u)). [hyper(189,a,8524,a(flip),b,8858,a(flip))]. 8860 a(R(a(x,y,x),z,u),z,u) = K(z,a(x,y,x)). [para(7983(a,1),8859(a,2,2))]. 8861 a(R(a(x,y,x),z,u),z,u) = 1. [hyper(189,a,7990,a(flip),b,8860,a)]. 8864 L(x,y,R(a(z,u,z),y,x)) = x. [hyper(36,a,8861,a)]. 8865 (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(8864(a,1),8439(a,1,2))]. 8866 (R(a(x,y,x),z,u) * (z * u)) / u = z * R(a(x,y,x),z,u). [para(8002(a,1),8865(a,1,1,2,1))]. 8867 x * R(a(y,z,y),x,u) = a(y,z,y) * x. [hyper(386,a,8866,a),flip(a)]. 8868 R(a(x,y,x),z,u) = a(x,y,x). [hyper(20,a,7980,a(flip),b,8867,a)]. 8870 a(x,y,R(x,z,u)) = a(x,y,x). [hyper(189,a,8842,a(flip),b,8868,a(flip)),flip(a)]. 8871 a(x,y * K(z,y),x) = L(a(x,y,x),y,z). [hyper(189,a,8037,a(flip),b,8868,a(flip))]. 8872 (a(x,y,x) * z) * u = a(x,y,x) * (z * u). [para(8868(a,1),110(a,1,1)),flip(a)]. 8874 L(x,y,a(z,u,z)) = x. [para(8868(a,1),8864(a,1,3))]. 8875 (x * (y * a(z,u,z))) \ (x * (a(z,u,z) * (y * w))) = L(w,a(z,u,z) * y,x). [para(8874(a,1),7988(a,2,1))]. 8878 L(x,y,R(x,z,u)) = a(x,y,x) \ x. [para(8870(a,1),7902(a,1,1)),flip(a)]. 8879 L(x,y,R(x,z,u)) = a(x,y,L(x,w,v5)) \ x. [para(8763(a,2),8878(a,2,1))]. 8882 L(a(x,L(y,z,u),x),L(y,z,u),w) = a(x,L(y * K(w,y),z,u),x). [para(4729(a,1),8871(a,1,2)),flip(a)]. 8883 (a(x,y,x) * (z * u)) \ ((a(x,y,x) * z) * (u * w)) = L(w,u,a(x,y,x) * z). [para(8872(a,1),31(a,2,1)),flip(a)]. 8884 (x * a(y,z,y)) * u = a(y,z,y) * (x * u). [para(7980(a,1),8872(a,1,1))]. 8885 L(x,y,R(x,z,u)) = L(x,y,L(x,w,v5)). [hyper(189,a,8021,a(flip),b,8879,a)]. 8887 L(x,y,L(x,z,u)) = L(x,y,x). [para(272(a,1),8885(a,1,3)),flip(a)]. 8888 L(L(x,y,z),u,L(x,w,v5)) = L(L(x,u,x),y,z). [para(8887(a,1),48(a,1,1)),flip(a)]. 8889 (x * a(y,z,y)) * u = (x * u) * a(y,z,y). [hyper(189,a,7980,a(flip),b,8884,a)]. 8892 (L(x,y,z) \ L(L(x,u,x),y,z)) \ w = w * a(L(x,y,z),u,L(x,y,z)). [para(8888(a,1),8000(a,1,1,2))]. 8893 (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) = a(u,L(z * K(x * y,z),y,x),u). [hyper(189,a,8039,a(flip),b,8882,a(flip)),flip(a)]. 8894 x * a(L(y,z,u),w,L(y,z,u)) = (a(y,w,L(y,z,u)) \ 1) \ x. [para(8272(a,1),8892(a,1,1)),flip(a)]. 8895 a(L(x,y,z),u,L(x,y,z)) = a(x,u,L(x,y,z)). [hyper(74,a,8810,a(flip),b,8894,a)]. 8896 L(x,y,z) * a(x,u,L(x,y,z)) = R(L(x,y,z),u,L(x,y,z)). [para(8895(a,1),7948(a,1,2))]. 8897 L(x,y,z) * a(x,u,L(x,y,z)) = L(R(x,u,x),y,z). [hyper(189,a,8751,a(flip),b,8896,a)]. 8898 L(x,y,z) * a(x,u,x) = L(R(x,u,x),y,z). [para(8763(a,1),8897(a,1,2))]. 8899 (x * (y * z)) \ ((x * y) * L(R(z,u,z),y,x)) = L(a(z,u,z),L(z,y,x),x * y). [para(8898(a,1),347(a,1,2,2))]. 8901 (a(x,y,x) * (z * u)) \ (a(x,y,x) * (z * (u * w))) = L(w,u,a(x,y,x) * z). [para(8872(a,1),8883(a,1,2))]. 8902 L(L(x,y,z),z * y,a(u,w,u)) = L(x,y,a(u,w,u) * z). [hyper(646,a,8901,a)]. 8903 L(x,y,a(z,u,z) * w) = L(x,y,w). [hyper(189,a,8874,a(flip),b,8902,a(flip))]. 8905 L(x,y,z * a(u,w,u)) = L(x,y,z). [para(7980(a,1),8903(a,1,3))]. 8906 (x * (y * z)) \ (x * (y * R(z,u,z))) = L(a(z,u,z),L(z,y,x),x * y). [para(102(a,1),8899(a,1,2))]. 8907 L(a(x,y,x),L(x,z,u),u * z) = L(a(x,y,x),z * x,u). [hyper(8338,a,8906,a),flip(a)]. 8908 L(a(x,y,x),z * x,u) = a(x,y,x). [hyper(8793,a,8907,a),flip(a)]. 8909 L(a(x,y,x),z,u) = a(x,y,x). [para(19(a,1),8908(a,1,2))]. 8912 L(a(x,y,x),z,u) = a(x,y,x) * 1. [hyper(189,a,15,a,b,8909,a)]. 8913 (x * y) * a(z,u,z) = x * (y * a(z,u,z)). [para(8909(a,1),102(a,1,2))]. 8914 L(a(x,y,x),z,u) != w | a(x,y,x) = w. [para(8912(a,2),85(a,1)),flip(b)]. 8916 (x * a(y,z,y)) * u = x * (u * a(y,z,y)). [hyper(21,a,8889,a(flip),b,8913,a)]. 8918 (x * a(y,z,y)) * u = x * (a(y,z,y) * u). [para(7980(a,2),8916(a,2,2))]. 8920 L(x,a(y,z,y),u) = x. [hyper(346,a,8918,a)]. 8924 (x * (y * a(z,u,z))) \ ((x * a(z,u,z)) * (y * w)) = L(w,L(y,a(z,u,z),x),x * a(z,u,z)). [para(8920(a,1),7989(a,1,2,2,1))]. 8925 (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) = a(u,(x * (y * z)) / (x * y),u). [para(4490(a,1),8893(a,2,2))]. 8926 L(L(a(x,y,x),y,z),z * y,u) = a(x,(u * (z * y)) / (u * z),x). [hyper(7957,a,8925,a)]. 8927 L(a(x,y,x),z * y,u) = a(x,(u * (z * y)) / (u * z),x). [para(8909(a,1),8926(a,1,1))]. 8928 L(a(x,y,x),z * y,u) = a(x,(u * z) \ (u * (z * y)),x). [hyper(189,a,8668,a(flip),b,8927,a)]. 8930 L(a(x,y,x),z * y,u) = a(x,L(y,z,u),x). [para(31(a,2),8928(a,2,2))]. 8931 a(x,L(y,z,u),x) = a(x,y,x). [hyper(8914,a,8930,a),flip(a)]. 8933 R(x,L(y,z,u),x) = x * a(x,y,x). [para(8931(a,1),7948(a,1,2)),flip(a)]. 8934 R(x,L(y,z,u),x) = R(x,y,x). [hyper(189,a,7948,a(flip),b,8933,a)]. 8935 R(x,(y \ z) \ u,x) = R(x,z \ (y * u),x). [para(359(a,1),8934(a,1,2)),flip(a)]. 8936 R(x \ y,y \ (x * x),x \ y) = ((y / x) \ x) \ x. [hyper(189,a,6907,a(flip),b,8935,a(flip))]. 8937 R(x \ y,y \ (x * x),x \ y) = (y \ x) \ 1. [hyper(189,a,4279,a(flip),b,8936,a)]. 8938 (x * (y * a(z,u,z))) \ (x * (a(z,u,z) * (y * w))) = L(w,L(y,a(z,u,z),x),x * a(z,u,z)). [para(8918(a,1),8924(a,1,2))]. 8939 L(x,L(y,a(z,u,z),w),w * a(z,u,z)) = L(x,a(z,u,z) * y,w). [hyper(189,a,8875,a(flip),b,8938,a(flip))]. 8940 L(x,a(y,z,y) * u,w) = L(x,u,w * a(y,z,y)). [para(8920(a,1),8939(a,1,2)),flip(a)]. 8941 L(x,a(y,z,y) * u,w) = L(x,u,w). [hyper(189,a,8905,a(flip),b,8940,a)]. 8943 L(x,R(y,z,y),u) = L(x,y,u). [para(7950(a,1),8941(a,1,2))]. 8946 L(x,(y \ z) \ 1,u) = L(x,z \ y,u). [para(8937(a,1),8943(a,1,2))]. 8947 L(x,(y * z) \ y,u) = L(x,z \ 1,u). [para(16(a,1),8946(a,1,2,1)),flip(a)]. 8948 L(x,L(y \ 1,y,z),u) = L(x,y \ 1,u). [para(140(a,2),8947(a,1,2))]. 8949 L(x,y \ 1,y * y) = x. [hyper(189,a,1916,a(flip),b,8948,a(flip))]. 8950 (x * (x * (x \ 1))) \ ((x * x) * y) = L((1 / x) \ y,x \ 1,x * x). [hyper(189,a,1891,a(flip),b,8948,a(flip)),flip(a)]. 8953 L((1 / x) \ y,x \ 1,x * x) = x \ ((x * x) * y). [para(62(a,1),8950(a,1,1)),flip(a)]. 8954 x \ ((x * x) * y) = (1 / x) \ y. [hyper(189,a,8949,a(flip),b,8953,a(flip))]. 8955 (1 / x) \ L(y,x,x) = x * y. [hyper(356,a,8954,a),flip(a)]. 8957 L(x,y,y \ 1) = L(x,y,y). [hyper(2389,a,8955,a),flip(a)]. 8958 (1 / x) * (x * y) = L(y,x,x). [para(8955(a,1),17(a,1,2))]. 8959 (x \ 1) \ (x \ y) = L(y,x,x). [hyper(7397,a,8957,a)]. 8960 T(x * y,x) / x = L(y,x,x). [hyper(4281,a,8957,a)]. 8961 T(T(x,y) * y,x) = x * L(y,x,x). [para(8958(a,1),4698(a,2,2))]. 8962 L((x \ 1) \ y,x \ 1,x * L(z,x,x)) = ((x * z) / x) \ (T(T(x,z) * z,x) * y). [para(8958(a,1),5834(a,1,3,2))]. 8963 (x * y) * (y \ 1) = L(x,y,y). [hyper(660,a,8959,a)]. 8964 x * a(y,x,y) = L(x,y,y). [hyper(189,a,7944,a(flip),b,8960,a(flip)),flip(a)]. 8965 a(x,y,x) * y = L(y,x,x). [hyper(7993,a,8964,a)]. 8966 L(x,L(y,z,z),u) = L(x,y,u). [para(8965(a,1),8941(a,1,2))]. 8967 L(x / y,y,y) = x * (y \ 1). [hyper(252,a,8963,a),flip(a)]. 8968 x * L(y,x,x) = (1 / x) \ y. [para(8963(a,1),852(a,1,2))]. 8971 L(x,y * (z \ 1),u) = L(x,y / z,u). [para(8967(a,1),8966(a,1,2))]. 8972 T(T(x,y) * y,x) = (1 / x) \ y. [hyper(189,a,8968,a(flip),b,8961,a)]. 8973 L(x,y * (z \ 1),z) = L(x,z \ y,z). [hyper(189,a,8433,a(flip),b,8971,a)]. 8975 ((x * y) / x) * L(z,x \ y,x) = x * ((y * (x \ 1)) * z). [para(8973(a,1),4274(a,1,2))]. 8976 ((x * y) / x) \ (T(T(x,y) * y,x) * z) = L((x \ 1) \ z,x \ 1,(1 / x) \ y). [para(8968(a,1),8962(a,1,3)),flip(a)]. 8977 L((x \ 1) \ y,x \ 1,(1 / x) \ z) = ((x * z) / x) \ (((1 / x) \ z) * y). [para(8972(a,1),8976(a,1,2,1)),flip(a)]. 8978 ((x * y) / x) \ (((1 / x) \ y) * z) = L((x \ 1) \ z,x \ y,x). [hyper(189,a,8440,a(flip),b,8977,a(flip))]. 8979 ((x * y) / x) * L((x \ 1) \ z,x \ y,x) != u | ((1 / x) \ y) * z = u. [para(8978(a,1),203(a,1,2)),flip(b)]. 8980 x * ((y * (x \ 1)) * ((x \ 1) \ z)) = ((1 / x) \ y) * z. [hyper(8979,a,8975,a),flip(a)]. 8981 x * ((y * (z / x)) * x) = ((1 / x) \ y) * z. [para(491(a,1),8980(a,1,2))]. 8982 x \ (((1 / x) \ y) * z) = (y * (z / x)) * x. [hyper(80,a,8981,a)]. 8985 (x * (y / (z \ 1))) * (z \ 1) = (z \ 1) \ ((z \ x) * y). [para(67(a,1),8982(a,1,2,1,1)),flip(a)]. 8986 (x * T(y * z,y)) * (y \ 1) = (y \ 1) \ ((y \ x) * z). [para(4227(a,2),8985(a,1,1,2))]. 8987 (x * ((x \ y) * z)) * x = y * T(x * z,x). [hyper(21,a,655,a,b,8986,a),flip(a)]. 8988 (x * y) * T(x * z,x) = (x * (y * z)) * x. [para(16(a,1),8987(a,1,1,2,1)),flip(a)]. 8989 (x * y) * (z / (x \ 1)) = (x * (y * z)) * x. [para(4227(a,1),8988(a,1,2))]. 8991 ((1 / x) * (y * z)) * (1 / x) = ((1 / x) * y) * (z / x). [para(69(a,1),8989(a,1,2,2)),flip(a)]. 8992 ((1 / x) * y) * (z / x) = (1 / x) * ((y * z) / x). [hyper(189,a,4256,a(flip),b,8991,a(flip))]. 8993 (1 / x) * ((y * (z * x)) / x) = ((1 / x) * y) * z. [para(18(a,1),8992(a,1,2)),flip(a)]. 8996 T((x * (y * z)) / z,z) = (((1 / z) * x) * y) * z. [para(8993(a,1),4224(a,2,1))]. 8997 (((1 / x) * y) * z) * x = x \ (y * (z * x)). [hyper(307,a,8996,a),flip(a)]. 8998 (x \ 1) \ (y * (z * (x \ 1))) = ((x * y) * z) * (x \ 1). [para(67(a,1),8997(a,1,1,1,1)),flip(a)]. 8999 (x \ 1) * (((x * y) * z) * (x \ 1)) != u * w | (y * (z * (x \ 1))) / w = u. [para(8998(a,1),298(a,1,2))]. 9000 (x * (y * (z \ 1))) / (z \ 1) = z \ ((z * x) * y). [hyper(8999,a,4260,a)]. 9001 $F # answer("Osborn 4"). [resolve(9000,a,57,a)]. ============================== end of proof ========================== ============================== STATISTICS ============================ Given=8121. Generated=106457814. Kept=8974. proofs=4. Usable=8122. Sos=848. Demods=0. Limbo=0, Disabled=37. Hints=11761. Kept_by_rule=0, Deleted_by_rule=106192497. Forward_subsumed=256343. Back_subsumed=0. 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=43323. Nonunit_bsub_feature_tests=396. Megabytes=38.59. User_CPU=538.15, System_CPU=21.95, Wall_clock=560. ============================== end of statistics ===================== ============================== end of search ========================= THEOREM PROVED THEOREM PROVED Exiting with 4 proofs. ------ process 18711 exit (max_proofs) ------  Process 18711 exit (max_proofs) Fri Aug 28 08:22:21 2020