============================== Prover9 =============================== Prover9 (64) version 2017-09A, September 2017. Process 18861 was started by veroff on freightliner, Mon Jun 15 19:29:32 2020 The command was "prover9 -f aK2_eq_aK3_f.in". ============================== end of head =========================== ============================== INPUT ================================= % Reading from file aK2_eq_aK3_f.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) = y \ 1 # label("WIP"). end_of_list. formulas(goals). a(x,K(y,z),u) = a(x,y,K(u,z)) # label("aK2_eq_aK3"). end_of_list. formulas(hints). a(x,K(y,z),u) = a(x,y,K(u,z)). 1 * x = x. x * 1 = x. x \ (x * y) = y. x * (x \ y) = y. (x * y) / y = x. (x / y) * y = x. x * y != z | x * u != z | u = y. x * y != z | u * y != z | u = x. x * y != x * z | y = z. x * y != z * y | x = z. x != y | z * x = z * y. x != y | x * z = y * z. (x * (y * z)) \ ((x * y) * z) = a(x,y,z). a(x,y,z) = (x * (y * z)) \ ((x * y) * z). (x * y) \ (y * x) = K(y,x). K(x,y) = (y * x) \ (x * y). (x * y) \ (x * (y * z)) = L(z,y,x). L(x,y,z) = (z * y) \ (z * (y * x)). ((x * y) * z) / (y * z) = R(x,y,z). R(x,y,z) = ((x * y) * z) / (y * z). x \ (y * x) = T(y,x). T(x,y) = y \ (x * y). a(x,y,z) != 1 | L(z,y,x) = z. L(x,y,z) != x | a(z,y,x) = 1. T(x,y) != x | T(y,x) = y. T(x,y) != x | K(x,y) = 1. K(x,y) != 1 | T(x,y) = x. T(T(x,y),z) = T(T(x,z),y). T(L(x,y,z),u) = L(T(x,u),y,z). L(T(x,y),z,u) = T(L(x,z,u),y). T(R(x,y,z),u) = R(T(x,u),y,z). R(T(x,y),z,u) = T(R(x,z,u),y). L(R(x,y,z),u,w) = R(L(x,u,w),y,z). R(L(x,y,z),u,w) = L(R(x,u,w),y,z). L(L(x,y,z),u,w) = L(L(x,u,w),y,z). R(R(x,y,z),u,w) = R(R(x,u,w),y,z). x * ((y * x) \ 1) = y \ 1. a(c1,K(c2,c3),c4) != a(c1,c2,K(c4,c3)). (1 * x) * 1 = x. x * (1 * 1) = x. 1 \ x = x. x \ x = 1. x \ (x * (y \ (y * z))) = z. (x * (x \ 1)) * y = y. x * (y * (y \ 1)) = x. x \ (y * (y \ (x * z))) = z. x * (y * (y \ (x \ z))) = z. x / x = 1. x / 1 = x. x * (((x \ y) * z) / z) = y. x / (y \ x) = y. ((1 / x) * x) * y = y. x * ((1 / y) * y) = x. (x / y) \ x = y. (x \ (x * (y / z))) * z = y. ((x * (x \ y)) / z) * z = y. (((x * y) / z) * z) / y = x. (((x / y) / z) * z) * y = x. x != y | 1 * z != y | z = x. x != y | x * z != y | z = 1. x != y | x * z != y | 1 = z. x != y | z * u != y | u = z \ x. x != y | z * u != y | z \ x = u. x != y | z * u != y | z = x / u. x != y | z * u != y | x / u = z. x != 1 * y | x = y. 1 * x != y | y = x. 1 * x != y | x = y. x * y != (x * z) * 1 | y = z. (x * y) * 1 != x * z | z = y. x != y * z | y \ x = z. x * y != z | x \ z = y. x * y != z * (z \ (x * u)) | y = u. x * (x \ (y * z)) != y * u | u = z. (x / y) * z != x | z = y. x != y * 1 | x = y. x * 1 != y | y = x. x * 1 != y | x = y. x * y != z \ (z * (u * y)) | x = u. x \ (x * (y * z)) != u * z | u = y. x * (y \ z) != z | x = y. x != y * z | x / z = y. x * y != z | z / y = x. x * (y * (y \ z)) = x * z. ((x / y) * y) * z = x * z. (x * (x \ y)) * z = y * z. (x * (y * z)) * a(x,y,z) = (x * y) * z. a(x,x \ y,z) = (x * ((x \ y) * z)) \ (y * z). (x * ((x \ y) * z)) \ (y * z) = a(x,x \ y,z). a(x,y / z,z) = (x * y) \ ((x * (y / z)) * z). (x * y) \ ((x * (y / z)) * z) = a(x,y / z,z). a(x / y,y,z) = ((x / y) * (y * z)) \ (x * z). ((x / y) * (y * z)) \ (x * z) = a(x / y,y,z). (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,z / y) = z \ ((z / y) * (y * x)). x \ ((x / y) * (y * z)) = L(z,y,x / y). L(x,y / x,z) = (z * (y / x)) \ (z * y). R(x,1,y) = ((x * 1) * y) / y. ((x * 1) * y) / y = R(x,1,y). R(x,y,1) = (x * y) / (y * 1). (x * y) / (y * 1) = R(x,y,1). 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). R(x,y / z,z) = ((x * (y / z)) * z) / y. ((x * (y / z)) * z) / y = R(x,y / z,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(T(T(x,y),z),u) = T(T(T(x,z),u),y). T(T(T(x,y),z),u) = T(T(T(x,u),y),z). T(R(T(x,y),z,u),w) = T(T(R(x,z,u),w),y). T(T(R(x,y,z),u),w) = T(R(T(x,w),y,z),u). x * y != z | y = x \ z. (x * y) \ 1 = y \ (x \ 1). (x \ y) * (y \ 1) = x \ 1. x * (y \ 1) = (y / x) \ 1. (x / y) \ 1 = y * (x \ 1). x = 1 \ (x * 1). 1 \ (x * 1) = x. (x * (x \ 1)) \ y = y. ((1 / x) * x) \ y = y. (x \ x) \ y = y. x / (y * (y \ 1)) = x. x / ((1 / y) * y) = x. T(x,y) = T(T(x,y),x). T(T(x,y),x) = T(x,y). L(x,y,z) = T(L(x,y,z),x). T(L(x,y,z),x) = L(x,y,z). x * y != z | x = z / y. 1 * x = x / 1. x / 1 = 1 * x. 1 * 1 = x \ x. x \ x = 1 * 1. (x / (y \ x)) * z = y * z. ((x * y) * z) / a(x,y,z) = 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. x * ((y / (x \ z)) \ y) = z. R(x,y,z) \ ((x * y) * z) = y * z. ((x / (y / z)) \ x) \ y = z. T(x,1) = x. 1 \ x = 1 * x. K(x,1) = 1. T(1,x) = 1. K(1,x) = 1. x / 1 != y | y = x. x \ x != y | y = 1. x \ x != y | 1 = y. 1 \ x != y | y = x. ((1 / x) * x) * y != z | y = z. x / 1 != y | x = y. 1 \ x != y | x = y. x * (y * (y \ 1)) != z | z = x. x / (y * (y \ 1)) != z | z = x. x / ((1 / y) * y) != z | z = x. (x * (x \ 1)) \ y != z | z = y. ((1 / x) * x) \ y != z | z = y. R(x,x \ 1,y) = y / ((x \ 1) * y). a(x,y,y \ 1) = x \ ((x * y) * (y \ 1)). x \ ((x * y) * (y \ 1)) = a(x,y,y \ 1). L(x \ 1,x,y) = (y * x) \ y. R(1 / x,x,y) = y / (x * y). a(x,1 / y,y) = x \ ((x * (1 / y)) * y). x \ ((x * (1 / y)) * y) = a(x,1 / y,y). L(x,1 / x,y) = (y * (1 / x)) \ y. x * y != ((x * z) / u) * u | y = z. T((x * y) / x,x) = y. x = (y * T(x,y)) / y. (x * T(y,x)) / x = y. x = y \ (x * T(y,x)). x \ (y * T(x,y)) = y. (x \ y) * T(x,x \ y) = y. x * (y * (y \ T(z,x))) = z * x. x * T(y / x,x) = y. x * y != z | y * u != z | u = T(x,y). x * y != z | y * u != z | T(x,y) = u. x * y != y * z | T(x,y) = z. x * y != z * x | T(z,x) = y. x * y != z * T(x,z) | y = z. x * T(y,x) != y * z | z = x. x * y != y * T(z,y) | x = z. x * T(y,x) != z * x | z = y. a(x,y,T(z,y)) = (x * (z * y)) \ ((x * y) * T(z,y)). (x * (y * z)) \ ((x * z) * T(y,z)) = a(x,z,T(y,z)). a(x,T(y,x),z) = (x * (T(y,x) * z)) \ ((y * x) * z). (x * (T(y,x) * z)) \ ((y * x) * z) = a(x,T(y,x),z). 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,T(y,x),z) = ((y * x) * z) / (T(y,x) * z). ((x * y) * z) / (T(x,y) * z) = R(y,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)). 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). R(x,y,y \ 1) = (x * y) * (y \ 1). (x * y) * (y \ 1) = R(x,y,y \ 1). R(x,1 / y,y) = (x * (1 / y)) * y. (x * (1 / y)) * y = R(x,1 / y,y). 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. (T(x,y) * z) / T(T(x,z),y) = z. T(x,y) = T(T((z * x) / z,y),z). T(T((x * y) / x,z),x) = T(y,z). T((x * y) / x,y) = (x * y) / x. (x * T(T(y,x),z)) / x = T(y,z). x * K(y,z) != y * z | x = z * y. x * K(y,z) != y * z | z * y = x. x * L(y,z,u) != u * (z * y) | x = u * z. x * L(y,z,u) != u * (z * y) | u * z = x. x \ (y * (y \ x)) = 1. (x / y) \ (z * (z \ x)) = y. x \ ((x * y) * L(z,y,x)) = y * z. x * 1 = y * (y \ x). x * (x \ y) = y * 1. x * 1 != y * z | y \ x = z. (x / y) * y = x * 1. x * (x \ y) != z | z = y. x * 1 != y * z | x / z = y. (x / y) * y != z | z = x. x * (x \ y) = (y / z) * z. (x / y) * y = z * (z \ x). (x * y) * L(z,y,x) != u | u = x * (y * z). (x * y) * L(z,y,x) != u | x * (y * z) = u. x * T(y,x) != z | z = y * x. x * T(y,x) != z | y * x = z. x * y != z | z = y * T(x,y). x * y != z | y * T(x,y) = z. R(x,y,z) * (y * z) != u | u = (x * y) * z. R(x,y,z) * (y * z) != u | (x * y) * z = u. L(x \ (y \ z),x,y) = (y * x) \ z. x * (y * (y \ z)) = u * (u \ (x * z)). x * (x \ (y * z)) = y * (u * (u \ z)). ((x * (x \ y)) / z) \ y = z. ((x / y) * y) / z = x / z. R((x / y) / z,z,y) = x / (z * y). ((x / y) * y) * (x \ z) = z. x != y | z != y | z = x. x != y | x = (z / y) \ z. x * (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. 1 * x = (x / y) * y. (x / y) * y = 1 * x. x != y | x = z * (z \ y). x \ (x * y) = z * (z \ y). 1 * x != y * z | x / z = y. (x / (y * (y \ z))) * z = x. x * y != z * y | x = (z / u) * u. x * y != z * y | (z / u) * u = x. ((x / y) * y) * z != u | x \ u = z. x * y != (z * (z \ x)) * u | y = u. (x * (x \ y)) * z != y * u | u = z. x != (y * (y \ z)) * u | x = z * u. (x \ y) * x = y * K(x \ y,x). x * K(y \ x,y) = (y \ x) * y. x != ((y / z) * z) * u | x = y * u. x * (y / x) = y * K(x,y / x). x * K(y,x / y) = y * (x / y). x * y != (y * x) * z | K(x,y) = z. (x * y) * z != y * x | K(y,x) = z. L(K(x,y),y * x,z) = (z * (y * x)) \ (z * (x * y)). (x * (y * z)) \ (x * (z * y)) = L(K(z,y),y * z,x). R(x,y,K(y,x)) = (y * x) / (y * K(y,x)). (x * y) / (x * K(x,y)) = R(y,x,K(x,y)). T(x,x \ y) * z = ((x \ y) \ y) * z. x * T(y,y \ z) = x * ((y \ z) \ z). (x \ y) \ y = z * (z \ T(x,x \ y)). L((x \ y) \ y,z,u) = T(L(x,z,u),x \ y). T(L(x,y,z),x \ u) = L((x \ u) \ u,y,z). x \ 1 = (y \ x) \ (y \ 1). (x \ y) \ (x \ 1) = y \ 1. (x * y) \ 1 = T(x,y) \ (y \ 1). T(x,y) \ (y \ 1) = (x * y) \ 1. T(x * y,y \ (x \ 1)) = ((x * y) \ 1) \ 1. T(x \ y,y \ 1) = (y \ 1) \ (x \ 1). (x \ 1) * ((y \ 1) \ 1) = (y \ x) \ 1. 1 / ((x \ y) * (y \ 1)) = x. (x \ (1 / y)) * y = x \ 1. (x \ 1) \ 1 = (y \ 1) \ ((x \ y) \ 1). (x \ 1) \ ((y \ x) \ 1) = (y \ 1) \ 1. R(x,y,z) \ 1 = (y * z) * (((x * y) * z) \ 1). (x * y) * (((z * x) * y) \ 1) = R(z,x,y) \ 1. 1 / (x * (y \ 1)) = y / x. T(x,L(x,y,z)) = x. x / K(y,y \ x) = (y \ x) * y. x != y * (y \ z) | x = z. ((x / y) \ x) * (y \ z) = z. x * (((y / x) \ y) \ z) = z. ((x / y) \ x) * z != u | y \ u = z. (x / y) * ((z / y) \ z) = x. x != (y \ x) * z | T(y,y \ x) = z. (x \ y) * z != y | T(x,x \ y) = z. L(T(x,x \ y),x \ y,z) = (z * (x \ y)) \ (z * y). 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). K(x \ 1,x) / x = x \ 1. (x \ 1) \ K(x \ 1,x) = x. R(x \ 1,x,y) = (K(x \ 1,x) * y) / (x * y). (K(x \ 1,x) * y) / (x * y) = R(x \ 1,x,y). T(x \ 1,x) = x \ K(x \ 1,x). x \ K(x \ 1,x) = T(x \ 1,x). L(x,1 / y,y) = K(y,1 / y) \ (y * ((1 / y) * x)). K(x,1 / x) \ (x * ((1 / x) * y)) = L(y,1 / x,x). x * y != z * (z \ u) | x = u / y. z * (z \ u) != x * y | x = u / y. x * (x \ y) != z * u | y / u = z. (((x / y) * y) / z) \ x = z. x * ((y / (z \ u)) \ y) != u | x = z. x / (y \ ((x / z) * z)) = y. (x / y) * y != z * u | z \ x = u. R(x,y,(x * y) \ z) \ z = y * ((x * y) \ z). R(x / y,y,x \ z) = z / (y * (x \ z)). (x \ y) * z != x \ 1 | z = y \ 1. ((1 / x) \ y) \ x = y \ 1. (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. x \ (y \ 1) != z | z = (y * x) \ 1. x \ (y \ 1) != z | (y * x) \ 1 = z. x \ y != z | z = T(y / x,x). x \ y != z | T(y / x,x) = z. (x \ y) \ (x \ 1) != z | z = y \ 1. (x \ y) \ (x \ 1) != z | y \ 1 = z. (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 * (y * z)) / L(z,y,x) != u | u = x * y. (x * (y * z)) / L(z,y,x) != u | x * y = u. (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 * (y * (y \ z)) != u | u = x * z. x * (y * (y \ z)) != u | x * z = u. R(x,y,y \ z) * z = (x * y) * (y \ z). (x \ 1) / y = x \ (1 / y). T(x \ (1 / y),y) = y \ (x \ 1). x * ((y \ 1) \ 1) = (y \ (1 / x)) \ 1. (x \ (1 / y)) \ 1 = y * ((x \ 1) \ 1). (x \ 1) / y != z | z = x \ (1 / y). (x \ 1) / y != z | x \ (1 / y) = z. 1 / (x * y) = (1 / y) / x. (1 / x) / y = 1 / (y * x). 1 / (x * T(y,y \ 1)) = (y \ 1) / x. 1 / (x * (y \ (z \ 1))) = (z * y) / x. (x / y) \ 1 != z | z = y * (x \ 1). (x / y) \ 1 != z | y * (x \ 1) = z. ((x \ y) \ y) * (T(x,x \ y) \ z) = z. x != y * ((z / u) \ z) | x / u = y. x * ((y / z) \ y) != u | u / z = x. (x / T(y,y \ z)) * ((y \ z) \ z) = x. (x \ 1) * x != y | y = K(x \ 1,x). (x \ 1) * x != y | K(x \ 1,x) = y. x / L(y,z,x / (z * y)) = (x / (z * y)) * z. x / (y \ 1) = (1 / x) \ y. (x \ 1) * (y \ 1) = ((1 / y) \ x) \ 1. ((1 / x) \ y) \ 1 = (y \ 1) * (x \ 1). x / (y \ 1) != z | z = (1 / x) \ y. x / (y \ 1) != z | (1 / x) \ y = z. x / y = (1 / x) \ (1 / y). (1 / x) \ (1 / y) = x / y. (1 / (x * y)) * x = 1 / y. T(1 / (x * y),x) = x \ (1 / y). x != (1 / y) / z | x = 1 / (z * y). (1 / (1 / x)) \ y = 1 / ((y \ 1) * x). 1 / ((x \ 1) * y) = (1 / (1 / y)) \ x. x / (y \ (z \ 1)) = (1 / x) \ (z * y). x / (y * (z \ 1)) = (1 / x) \ (z / y). (1 / x) * y = 1 / (y \ x). 1 / (x \ y) = (1 / y) * x. a(1 / (x * y),x,z) = ((1 / (x * y)) * (x * z)) \ ((1 / y) * z). ((1 / (x * y)) * (x * z)) \ ((1 / y) * z) = a(1 / (x * y),x,z). (1 / (x * y)) * y = 1 / T(x,y). ((1 / x) * y) \ (1 / z) = (y \ x) / z. x * y != x * z | z = y. x \ (x * y) = L(y,1,x). L(x,1,y) = x. L(x,1,y) != z | z = x. 1 = L(1,x,y). L(1,x,y) = 1. a(x,y,1) = 1. (x * y) / y = R(x,1,y). R(x,1,y) = x. (x * y) / y = R(x,y,1). R(x,y,1) = x. R(x,y,y \ 1) != z | z = (x * y) * (y \ 1). R(x,y,y \ 1) != z | (x * y) * (y \ 1) = z. K(x \ 1,x) != y | y = (x \ 1) * x. K(x \ 1,x) != y | (x \ 1) * x = y. K(x,1 / x) != y | y = x * (1 / x). K(x,1 / x) != y | x * (1 / x) = y. L(x,y,1 / y) != z | z = (1 / y) * (y * x). L(x,y,1 / y) != z | (1 / y) * (y * x) = z. x != (y * (y \ 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 * L(y \ 1,y,z) = x * ((z * y) \ z). (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. x != y / (z * (z \ 1)) | x = y. R(1 / x,x,x \ 1) = x \ 1. R(1 / x,x,x \ y) = (x \ y) / y. R(1 / (x / y),x / y,y) = y / x. R(T(1 / x,y),x,z) = T(z / (x * z),y). T(x / (y * x),z) = R(T(1 / y,z),y,x). R(x / (y * x),z,u) = R(R(1 / y,z,u),y,x). R(R(1 / x,y,z),x,u) = R(u / (x * u),y,z). R(1 / x,x,y) \ y = x * y. 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 != ((z / u) * u) * x | T(z,x) = y. ((x / y) * y) * z != z * u | T(x,z) = u. x * T(T(y,x),z) != u * x | u = T(y,z). x * T(T(y,x),z) != u * x | T(y,z) = u. x * (y * (y \ 1)) != z * u | z \ x = u. x * (x \ y) != z * u | z \ y = u. (x / y) * y != z * u | x / u = z. 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. ((1 / x) * x) * y != z * u | y / u = z. T(x,y) \ (x * y) != z | T(y,T(x,y)) = z. (x \ 1) \ (y \ 1) != z | T(y \ x,x \ 1) = z. x \ (1 / y) != z | T(1 / (x * y),x) = z. L(T(x \ 1,y),x,1 / x) = T(1 / x,y). 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). ((x * y) \ x) * (L(y \ 1,y,x) \ z) = z. 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 != (z \ u) \ u | x \ T(z,z \ u) = y. x \ T(y,y \ z) = x \ ((y \ z) \ z). x * y != ((z * u) * w) / (u * w) | x \ R(z,u,w) = y. (x * y) \ R(x,y,y \ 1) = y \ 1. x * y != (z * u) \ (z * (u * w)) | x \ L(w,u,z) = y. (1 / x) \ L(y,x,1 / x) = x * y. x \ L(y,x \ 1,x) = (x \ 1) * y. x * y != ((z * u) * w) / (u * w) | R(z,u,w) / y = x. R(x,y,y \ 1) / (y \ 1) = x * y. x * y != L(z \ 1,z,u) | ((u * z) \ u) / y = x. ((x * y) \ x) / L(y \ 1,y,x) = 1. (x * y) \ ((x \ (x * y)) * x) = K(y,x). K(x,y) = (y * x) \ ((y \ (y * x)) * y). x \ (y * T(y \ x,y)) = K(y \ x,y). x != (y * z) \ 1 | x = z \ (y \ 1). K(x,x \ 1) = x \ ((x \ 1) \ 1). x \ ((x \ 1) \ 1) = K(x,x \ 1). x * K(x,x \ 1) = (x \ 1) \ 1. K(x \ 1,x) \ 1 = K(x,x \ 1). L(x \ T(y,z),x,z) = (z * x) \ (y * z). T(x,y) * z != z * u | T(T(x,z),y) = u. x * T(x \ (y * x),z) = T(y,z) * x. x * T(T(T(y,x),z),u) = T(T(y,z),u) * x. x * T(x \ y,z) = T(y / x,z) * x. T(x / y,z) * y = y * T(y \ x,z). x * T(y,z) = T((x * y) / x,z) * x. T((x * y) / x,z) * x = x * T(y,z). (x \ y) * T((x \ y) \ y,z) = T(x,z) * (x \ y). (x * T(x \ y,z)) / x = T(y / x,z). x * T(x \ y,z) != u | T(y / x,z) * x = u. (x * T(x \ y,z)) / x != u | u = T(y / x,z). (x * T(x \ y,z)) / x != u | T(y / x,z) = u. T(x,T(T(x,y),z)) = x. K(x,T(T(x,y),z)) = 1. (x * T(y,z)) / x = T((x * y) / x,z). T((((x * y) / x) \ z) \ z,x) = T(y,((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(x,(y * x) / y) = x. ((x / y) * T(y,z)) / (x / y) = T(x / (x / y),z). (x \ y) * x != y * z | K(x \ y,x) = z. L(K(x \ y,x),y,z) = (z * y) \ (z * ((x \ y) * x)). (x * y) \ (x * ((z \ y) * z)) = L(K(z \ y,z),y,x). x \ ((y \ x) * y) != z | z = K(y \ x,y). x \ ((y \ x) * y) != z | K(y \ x,y) = z. K(x \ y,x) * z != (x \ y) * x | T(y,K(x \ y,x)) = z. x \ (y * (x / y)) != z | z = K(y,x / y). x \ (y * (x / y)) != z | K(y,x / y) = z. T(x,y) \ (y \ 1) = y \ (x \ 1). x != (y \ 1) * y | x = K(y \ 1,y). 1 / K(x,x \ 1) = K(x \ 1,x). x != (y \ z) \ z | x = T(y,y \ z). x * K(x,x \ 1) = T(x,x \ 1). x \ ((x \ 1) \ 1) != y | y = K(x,x \ 1). x \ ((x \ 1) \ 1) != y | K(x,x \ 1) = y. x * y != K(z \ 1,z) \ 1 | x \ K(z,z \ 1) = y. x \ K(y,y \ 1) = (K(y \ 1,y) * x) \ 1. (K(x \ 1,x) * y) \ 1 = y \ K(x,x \ 1). (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 = z \ (x * y). x * y != z * u | z \ (x * y) = u. x \ (x * y) != z * u | z = y / u. x \ (x * y) != z * u | y / u = z. x * y != z * (u * (u \ w)) | (z * w) / y = x. (x * y) / L(z \ y,z,x) = x * z. x * y != z * (u * (u \ T(x,z))) | y = z. L(x \ T(y * x,y),x,y) = y. x * ((x \ y) * z) = y * L(z,x \ y,x). x * L(y,z \ x,z) = z * ((z \ x) * y). (x / y) * (y * z) = x * L(z,y,x / y). x * L(y,z,x / z) = (x / z) * (z * y). x * y != (z * u) * L(w,u,z) | (z * (u * w)) / y = x. (x * (y * z)) / T(x * y,L(z,y,x)) = L(z,y,x). x * y != (z * u) * L(w,u,z) | x \ (z * (u * w)) = y. L(x,y,z) \ (z * (y * x)) = T(z * y,L(x,y,z)). 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),u) = ((x * (y * z)) * u) / (L(z,y,x) * u). ((x * (y * z)) * u) / (L(z,y,x) * u) = R(x * y,L(z,y,x),u). 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). (x * (y * z)) * K(L(z,y,x),x * y) = L(z,y,x) * (x * y). 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. L((x \ y) \ z,x \ y,x) = y \ (x * z). 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(a(x,y,z),x * (y * z),u) = (u * (x * (y * z))) \ (u * ((x * y) * z)). (x * (y * (z * u))) \ (x * ((y * z) * u)) = L(a(y,z,u),y * (z * u),x). L(T(x \ y,z),x,u) = T((u * x) \ (u * y),z). T((x * y) \ (x * z),u) = L(T(y \ z,u),y,x). L(T(x,y) \ z,T(x,y),y) = (x * y) \ (y * z). L(K(x,y) \ z,K(x,y),y * x) = (x * y) \ ((y * x) * z). L(x \ (1 / y),x,y) = (y * x) \ K(y,1 / y). L((x \ 1) \ y,x \ 1,x) != z | z = x * y. L((x \ 1) \ y,x \ 1,x) != z | x * y = z. L(L(x,y,z) \ u,L(x,y,z),z * y) = (z * (y * x)) \ ((z * y) * u). L(x \ L(y,z,u),x,u * z) = ((u * z) * x) \ (u * (z * y)). x * y != ((z / u) * u) * (z \ w) | x \ w = y. R(x / y,y,x \ z) \ z = y * (x \ z). x * y != (z * (z \ u)) * w | x \ (u * w) = y. R(x,x \ y,z) \ (y * z) = (x \ y) * z. x * y != ((z / u) * u) * w | x \ (z * w) = y. R(x / y,y,z) \ (x * z) = y * z. x * y != R(z,u,w) * (u * w) | x \ ((z * u) * w) = y. (R(x,y,z) * y) \ ((x * y) * z) = L(z,y,R(x,y,z)). R(x,y / z,z) * y = (x * (y / z)) * z. (x * y) * z != u * (y * z) | R(x,y,z) = u. K(x * y,R(z,x,y)) = ((z * x) * y) \ ((x * y) * R(z,x,y)). ((x * y) * z) \ ((y * z) * R(x,y,z)) = K(y * z,R(x,y,z)). R(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). ((x * y) * z) * K(y * z,R(x,y,z)) = (y * z) * R(x,y,z). R(x,y * z,K(z,y)) * (z * y) = (x * (y * z)) * K(z,y). R(x,y \ 1,y) * K(y \ 1,y) = (x * (y \ 1)) * y. R(x,y,1 / y) * K(y,1 / y) = (x * y) * (1 / y). ((x * y) * z) / (y * z) != u | u = R(x,y,z). ((x * y) * z) / (y * z) != u | R(x,y,z) = u. (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 | z = R(x,y,y \ 1). (x * y) * (y \ 1) != z | R(x,y,y \ 1) = z. R(x,R(y,z,u),z * u) * ((y * z) * u) = (x * R(y,z,u)) * (z * u). x != y / ((1 / z) * z) | x = y. R(x / (1 / y),1 / y,y) = x * y. R(x / y,y,y \ 1) = x * (y \ 1). R(x / y,y,y \ z) = (x * (y \ z)) / z. R(x / (y / z),y / z,z) = (x * z) / y. R(T(x / y,z),y,u) = T((x * u) / (y * u),z). T((x * y) / (z * y),u) = R(T(x / z,u),z,y). T(R(x / y,y,z),y * z) = (y * z) \ (x * z). R(x / T(y,z),T(y,z),y) = (x * y) / (y * T(y,z)). R(x / (1 / y),1 / y,y) != z | z = x * y. R(x / (1 / y),1 / y,y) != z | x * y = z. R(R(1 / x,x,y),x * y,z) = (y * z) / ((x * y) * z). R(R(x,y,z) / u,u,y * z) = ((x * y) * z) / (u * (y * z)). R(x / R(y,z,u),R(y,z,u),z * u) = (x * (z * u)) / ((y * z) * u). R(R(x / y,y,z),y * z,u) = ((x * z) * u) / ((y * z) * u). (x * y) / L(z,y / z,x) = x * (y / z). (x * (y * z)) / L(T(y,z),z,x) = x * z. (x * (y * z)) / L(K(y,z),z * y,x) = x * (z * y). R(x,T(y,x),z) \ ((y * x) * z) = T(y,x) * z. R(x * y,K(y,x),z) \ ((y * x) * z) = K(y,x) * z. R(x,K(y \ x,y),z) \ (((y \ x) * y) * z) = K(y \ x,y) * z. R(x * y,L(z,y,x),u) \ ((x * (y * z)) * u) = L(z,y,x) * u. L(x,1 / x,x) = K(x,1 / x) \ x. K(x,1 / x) \ x = L(x,1 / x,x). x * y != L(L(z,u,w),v5,v6) | x \ L(L(z,v5,v6),u,w) = y. x \ L(L(y,x \ 1,x),z,u) = (x \ 1) * L(y,z,u). x * y != L(T(z,u),w,v5) | x \ T(L(z,w,v5),u) = y. x \ T(L(y,x \ 1,x),z) = (x \ 1) * T(y,z). (1 / L(x,y \ 1,y)) * y = 1 / ((y \ 1) * x). (1 / x) \ L(L(y,x,1 / x),z,u) = x * L(y,z,u). (1 / x) * (y * x) = L(T(y,x),x,1 / x). L(T(x,y),y,1 / y) = (1 / y) * (x * y). (1 / x) \ L(y,x,1 / x) != z | z = x * y. (1 / x) \ L(y,x,1 / x) != z | x * y = z. x * y != R(L(z,u,w),v5,v6) | L(R(z,v5,v6),u,w) / y = x. L(R(x,y,y \ 1),z,u) / (y \ 1) = L(x,z,u) * y. x * y != R(T(z,u),w,v5) | T(R(z,w,v5),u) / y = x. T(R(x,y,y \ 1),z) / (y \ 1) = T(x,z) * 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). L(R(x,1 / y,y),z,u) / y = L(x,z,u) * (1 / y). T(R(x,1 / y,y),z) / y = T(x,z) * (1 / y). L(T(x \ (y \ z),u),x,y) = T((y * x) \ z,u). R((x * y) \ z,u,w) = L(R(y \ (x \ z),u,w),y,x). L(R(x \ (y \ z),u,w),x,y) = R((y * x) \ z,u,w). L((x * y) \ z,u,w) = L(L(y \ (x \ z),u,w),y,x). L(L(x \ (y \ z),u,w),x,y) = L((y * x) \ z,u,w). L(x,(y \ z) / x,y) = (y * ((y \ z) / x)) \ z. x * ((x \ y) * z) != y * u | u = L(z,x \ y,x). x * ((x \ y) * z) != y * u | L(z,x \ y,x) = u. x * (y * (y \ z)) != u * w | (x * z) / w = u. ((x / y) * y) * z != u * w | u \ (x * z) = w. (x * y) / y != z * u | z \ x = u. (((x * y) / z) * z) / y != u * w | x / w = u. (x * (x \ y)) * z != u | y * z = u. x / y != z | (1 / x) \ (1 / y) = z. x / (y \ (z \ 1)) != u | (1 / x) \ (z * y) = u. x / (y * (z \ 1)) != u | (1 / x) \ (z / y) = u. T((x \ y) \ 1,y \ x) = (x \ y) \ 1. 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). (x / y) \ (L(y \ 1,y,x / y) * x) = K(x \ (x / y),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). R(R(1 / x,x,x \ y),y,z) = ((x \ y) * z) / (y * z). x * (y * (y \ (x \ z))) != u * w | u \ z = w. x * (y * (y \ z)) != u * w | u \ (x * z) = w. (((x / y) / z) * z) * y != u * w | x / w = u. ((x / y) * y) * z != u * w | (x * z) / w = u. x / ((y \ 1) * x) != z | z = R(y,y \ 1,x). x / ((y \ 1) * x) != z | R(y,y \ 1,x) = z. x * ((x \ 1) * y) != z | z = L(y,x \ 1,x). x * ((x \ 1) * y) != z | L(y,x \ 1,x) = z. (x * (x \ y)) * z != u * w | u \ (y * z) = w. (x * y) \ x != z * u | L(y \ 1,y,x) / u = z. R(x,y,z) \ ((x * y) * z) != u * w | (y * z) / w = u. (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(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). R(T(x / (1 / y),z),1 / y,y) = T(x * y,z). R(T(x / y,z),y,y \ 1) = T(x * (y \ 1),z). R(x * (y \ 1),z,u) = R(R(x / y,z,u),y,y \ 1). R(R(x / y,z,u),y,y \ 1) = R(x * (y \ 1),z,u). K(x,1 / x) * L(x,1 / x,x) = x. ((x / y) \ x) * z != u | y * z = u. (x / (y \ x)) * z != u | 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 * T(T(T(y,x),z),u) != w | T(T(y,z),u) * x = w. ((x / y) \ x) * z != u | T(u / y,(x / y) \ x) = z. T(x / y,(z / y) \ z) = y \ x. x != (y * z) * L(u,z,y) | x = y * (z * u). L(x,y,z) * (z * y) = z * (y * T(x,z * y)). x * (y * T(z,x * y)) = L(z,y,x) * (x * y). x * 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(T(x,y),z,u) = L(T(x,y),z,u) * x. L(T(x,y),z,u) * x = x * L(T(x,y),z,u). x * L(y,z,u) = L((x * y) / x,z,u) * x. L((x * y) / x,z,u) * x = x * L(y,z,u). (x \ y) * L((x \ y) \ y,z,u) = L(x,z,u) * (x \ y). x * 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) \ ((z * x) * y) = R(T(z,x * y),x,y). x * R(x,y,z) = R(x,y,z) * x. R(x,y,z) * x = x * R(x,y,z). x * R(x \ y,z,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). T(x,R(x,y,z)) = x. (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). x * R(x \ y,z,u) != w | R(y / x,z,u) * x = w. T(x \ 1,x) = R(x \ 1,x,x \ 1). R(x \ 1,x,x \ 1) = T(x \ 1,x). T((x * y) / (z * y),z) = R(z \ x,z,y). T(x / (y * z),y) = R(y \ (x / z),y,z). R(x \ (y / z),x,z) = T(y / (x * z),x). T(x * (y \ 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). ((x \ y) \ y) \ (T(x,x \ y) * z) = z. x * y != T(z,z \ u) * w | x \ (((z \ u) \ u) * w) = y. (T(x,x \ y) * z) \ (((x \ y) \ y) * (z * u)) = L(u,z,T(x,x \ y)). 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). (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) != u | K(z,(x \ y) \ y) = u. x / ((y \ z) \ z) = x / T(y,y \ z). x / T(y,y \ z) = x / ((y \ z) \ z). 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. x * y != z * T(u,u \ w) | x \ (z * ((u \ w) \ w)) = y. (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) = K(z,T(x,x \ y)). x \ ((y \ z) \ z) != u | u = x \ T(y,y \ z). x \ ((y \ z) \ z) != u | x \ T(y,y \ z) = u. x != y * ((z \ u) \ u) | x = y * T(z,z \ u). (x \ y) \ 1 = (y \ 1) * T(x,x \ 1). (x \ 1) * T(y,y \ 1) = (y \ x) \ 1. (x * (y \ 1)) * ((z \ 1) \ 1) = (z \ (y / x)) \ 1. (x \ 1) * ((y * (z \ 1)) \ 1) = ((z / y) \ x) \ 1. (x \ 1) * ((y \ 1) \ 1) != z | z = (y \ x) \ 1. (x \ 1) * ((y \ 1) \ 1) != z | (y \ x) \ 1 = z. x != (y \ 1) / z | x = y \ (1 / z). 1 / (x * T(y,y \ 1)) = y \ (1 / x). (((1 / x) * y) \ z) \ 1 = (z \ 1) * ((y \ x) \ 1). 1 / ((x \ (y \ 1)) * z) = (1 / (1 / z)) \ (y * x). 1 / ((x * (y \ 1)) * z) = (1 / (1 / z)) \ (y / x). x / (y \ (z \ (u \ 1))) = (1 / x) \ ((u * z) * y). T(x \ ((1 / 1) \ (y * z)),z \ (y \ 1)) = (z \ (y \ 1)) \ (x \ 1). x != ((y * z) * u) / (z * u) | x = R(y,z,u). (1 / ((x * y) * (z \ 1))) \ (z / y) = R(x,y,z \ 1). x / (y * (z * (u \ 1))) = (1 / x) \ ((u / z) / y). ((1 / x) * y) \ ((1 / z) * u) = (y \ x) / (u \ 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 != y \ ((z \ y) * z) | x = K(z \ y,z). K(x,y) = K(y \ (y * x),y). K(x \ (x * y),x) = K(y,x). K(x,y) = K(z \ (z * x),y). K(x \ (x * y),z) = K(y,z). K((x / y) \ x,z) = K(y,z). T(x / y,z) * y != u | u = y * T(y \ x,z). T(x / y,z) * y != u | y * T(y \ x,z) = u. T(x / y,y) != z | z = y \ x. T(x / y,y) != z | y \ x = z. T(x,x \ y) != z | (x \ y) \ y = z. R(T(x,R(x,y,z) \ u),y,z) != w | (R(x,y,z) \ u) \ u = w. T(x \ y,T(x,x \ y)) != z | ((x \ y) \ y) \ y = z. T((x \ y) * x,K(x,x \ y)) != z | (((x \ y) * x) \ y) \ y = z. x * ((y * T(z,x)) / y) = ((y * z) / y) * x. (x * (y \ z)) / x = T((x * (z / y)) / x,y). T((x * (y / z)) / x,z) = (x * (z \ y)) / x. T((x * y) / x,z) * x != u | u = x * T(y,z). T((x * y) / x,z) * x != u | x * T(y,z) = u. x / T(y,y \ z) != u | u = x / ((y \ z) \ z). x / T(y,y \ z) != u | x / ((y \ z) \ z) = u. R(x,y \ 1,T(z,z \ 1)) = ((x * (y \ 1)) * T(z,z \ 1)) / ((z \ y) \ 1). ((x * (y \ 1)) * T(z,z \ 1)) / ((z \ y) \ 1) = R(x,y \ 1,T(z,z \ 1)). ((x \ y) \ 1) \ 1 = T(x,x \ 1) \ ((y \ 1) \ 1). T(x,x \ 1) \ ((y \ 1) \ 1) = ((x \ y) \ 1) \ 1. (x \ (y \ 1)) * T(z,z \ 1) = (z \ (y * x)) \ 1. x * y != (z * (z \ u)) * w | (u * w) / y = x. (x * y) / a(z,z \ x,y) = z * ((z \ x) * y). (x * y) * a(x,z,z \ y) = (x * z) * (z \ y). (x * (y * z)) * a(x,z,T(y,z)) = (x * z) * T(y,z). (x * (y * z)) \ ((x * y) * z) != u | u = a(x,y,z). (x * (y * z)) \ ((x * y) * z) != u | a(x,y,z) = u. ((x * y) * z) * a(R(x,y,z),y,z) = (R(x,y,z) * y) * z. x \ ((x / y) * (z * y)) = L(T(z,y),y,x / y). L(T(x,y),y,z / y) = z \ ((z / y) * (x * y)). x \ ((x / (y * z)) * (y * (z * u))) = L(L(u,z,y),y * z,x / (y * z)). L(L(x,y,z),z * y,u / (z * y)) = u \ ((u / (z * y)) * (z * (y * x))). R(x,x \ y,(x \ y) \ z) = (y * ((x \ y) \ z)) / z. R(x,x \ y,y \ z) \ z = (x \ y) * (y \ z). R(x,x \ (y / z),z) \ y = (x \ (y / z)) * z. x \ R(x,y,y \ 1) = a(x,y,y \ 1). x * a(x,y,y \ 1) = R(x,y,y \ 1). x \ R(x,1 / y,y) = a(x,1 / y,y). T(x,x * y) = L(T(x,y),y,x). L(T(x,y),y,x) = T(x,x * y). x != L(T(y,z),u,w) | x = T(L(y,u,w),z). (x * y) \ (x * (z * y)) = T(L(z,y,x),y). L(T(x,y \ z),y \ z,y) != u | z \ (y * (x * (y \ z))) = u. 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). L(T(x,x * y),z,u) = T(L(L(x,y,x),z,u),y). T(L(L(x,y,x),z,u),y) = L(T(x,x * y),z,u). (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). (x \ y) * T(x,y) = L(x,x \ y,x) * (x \ y). L(x,x \ y,x) * (x \ y) = (x \ y) * T(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). ((x \ y) * T(x,y)) / (x \ y) = L(x,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)). L(R(x,y,y \ z),u,w) * z = (L(x,u,w) * y) * (y \ z). (x * y) * T((x * y) \ x,z) = x * (y * T(y \ 1,z)). T(x / (y * x),z) * (y * x) = (T(1 / y,z) * y) * x. x * ((T(y,x) \ z) \ z) != u * x | T(y,T(y,x) \ z) = u. x * T(x \ (y * x),z) != u | T(y,z) * x = u. x != T(y / z,z) | x = z \ y. L(T(x \ 1,x),x,1 / x) = x \ 1. x * y != L(T(z \ 1,u),z,1 / z) | x \ T(1 / z,u) = y. (1 / x) \ T(1 / x,y) = x * T(x \ 1,y). T(x,(y * z) \ y) = L(z \ 1,z,y) \ (x * ((y * z) \ y)). L(x \ 1,x,y) \ (z * ((y * x) \ y)) = T(z,(y * x) \ y). x != (y * 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). L(x \ T(x,y),x,y) != z | K(x,y) = z. x != y * L(T(z,y),u,w) | x = L(z,u,w) * y. x * ((x \ y) * T(z,y)) = L(z,x \ y,x) * y. x * y != z * L(T(u,z),w,v5) | x \ (L(u,w,v5) * z) = y. x \ (L(y,x \ z,x) * z) = (x \ z) * T(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 / y) * (y * T(z,x)) = L(z,y,x / y) * x. (x / y) \ (L(z,y,x / y) * x) = y * T(z,x). x * L(L(y,z,x / z),u,w) = (x / z) * (z * L(y,u,w)). 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). R(x,T(y,x),(y * x) \ z) \ z = T(y,x) * ((y * x) \ z). (x * y) / ((z \ x) * y) != u | u = R(z,z \ x,y). (x * y) / ((z \ x) * y) != u | R(z,z \ x,y) = u. T(R(x / y,y,y \ z),z) = z \ (x * (y \ z)). R(T(x / (y / z),u),y / z,z) = T((x * z) / y,u). R((x * y) / z,u,w) = R(R(x / (z / y),u,w),z / y,y). R(R(x / (y / z),u,w),y / z,z) = R((x * z) / y,u,w). R(x / R(1 / y,y,z),z / (y * z),y * z) = (x * (y * z)) / z. 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). (x * y) \ (x * (z * y)) != u | u = L(T(z,y),y,x). (x * y) \ (x * (z * y)) != u | L(T(z,y),y,x) = u. x != L(T(y \ 1,y),y,1 / y) | x = y \ 1. (1 / x) * ((x \ 1) * x) = x \ 1. x * y != z \ 1 | y = (z * x) \ 1. (x \ 1) * x = (x * (1 / x)) \ 1. (x * (1 / x)) \ 1 = (x \ 1) * x. (1 / (1 / x)) * (x * (1 / x)) = (1 / x) \ 1. (1 / x) * K(x \ 1,x) = x \ 1. x * y != (z * (u / z)) \ u | K(u / z,z) / y = x. K(1 / x,x) / x = x \ 1. x * y != (1 / z) * K(z \ 1,z) | x \ (z \ 1) = y. x \ ((x \ 1) \ 1) = K((x \ 1) \ 1,x \ 1). K((x \ 1) \ 1,x \ 1) = x \ ((x \ 1) \ 1). (x * (y \ 1)) / L(K(y \ 1,y),1 / y,x) = x * (1 / 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),y) * (y * z) = ((y \ (x / z)) * y) * z. R(x,y,y \ 1) = T((y * x) * (y \ 1),y). T((x * y) * (x \ 1),x) = R(y,x,x \ 1). (x / y) * (y / x) = (y / x) * R((y / x) \ 1,y / x,x). (x / y) * R((x / y) \ 1,x / y,y) = (y / x) * (x / y). (x * R(x \ 1,x,y)) \ (x * (y / (x * y))) != z | K(x,y / (x * y)) = z. x \ ((x / y) * (z * y)) = T(L(z,y,x / y),y). T(L(x,y,z / y),y) = z \ ((z / y) * (x * y)). x * 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) * T(T(y,x),z) = T(R(y,x,y),z) * (x * y). T(R(x,y,x),z) * (y * x) = (y * x) * T(T(x,y),z). (x * y) * L(T(y,x),z,u) = L(R(y,x,y),z,u) * (x * y). L(R(x,y,x),z,u) * (y * x) = (y * x) * L(T(x,y),z,u). (x * y) * R(T(y,x),z,u) = R(R(y,x,y),z,u) * (x * y). R(R(x,y,x),z,u) * (y * x) = (y * x) * R(T(x,y),z,u). 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 != R(z,1 / z,z) | T(z,1 / z) / y = x. T(x,1 / x) / x = x * (1 / x). R(T(x,1 / x),y,z) = R(R(x,y,z),1 / x,x). R(R(x,y,z),1 / x,x) = R(T(x,1 / x),y,z). x != y * (1 / y) | x = K(y,1 / y). T(x,1 / x) / x = K(x,1 / x). (x * R(y,x,x \ 1)) / x = (x * y) * (x \ 1). (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 / x)) \ (y * (y / x)) = T(y / x,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). (x * y) * R(L(z,y,x),u,w) != v5 | x * (y * R(z,u,w)) = v5. (x * y) * L(L(z,y,x),u,w) != v5 | x * (y * L(z,u,w)) = v5. R(x,y,T(z,y)) * (z * y) != u | (x * y) * T(z,y) = u. T(x * y,y \ (x \ 1)) = (y \ (x \ 1)) \ 1. x / L(y,z,x / (z * y)) != u | (x / (z * y)) * z = u. (x * y) * z != (y * x) * (K(x,y) * u) | L(u,K(x,y),y * x) = z. (x * y) * (K(y,x) * z) != (y * x) * u | L(z,K(y,x),x * y) = u. T(x,x \ 1) * y != x * (K(x,x \ 1) * z) | L(z,K(x,x \ 1),x) = y. (x * y) \ (y * (T(x,y) * z)) != u | L(z,T(x,y),y) = u. (x * (y * z)) \ (x * (y * (z * u))) != w | L(L(u,z,y),y * z,x) = w. (T(x,x \ y) * z) \ (((x \ y) \ y) * (z * u)) != w | L(u,z,(x \ y) \ y) = w. (x * (y * (z * u))) \ (x * ((y * z) * u)) != w | L(a(y,z,u),y * (z * u),x) = w. (x * (y \ z)) * T(y,y \ z) != u * z | R(x,y \ z,T(y,y \ z)) = u. (x * y) * K(z \ y,z) != u * ((z \ y) * z) | R(x,y,K(z \ y,z)) = u. (x * (1 / y)) * K(y \ 1,y) != z * (y \ 1) | R(x,1 / y,K(y \ 1,y)) = z. x / (y * z) != u | R((x / z) / y,y,z) = u. (T(x,x \ 1) * y) / (K(x,x \ 1) * y) != z | R(x,K(x,x \ 1),y) = z. ((x \ 1) \ y) / y != z | R(x,x \ 1,(x \ 1) \ y) = z. x * K(x \ 1,x) != y | L(x,x \ 1,x) = y. x * y != z * L(u \ 1,u,w) | (z * ((w * u) \ w)) / y = x. (x * ((y * x) \ y)) / x = L(1 / x,x,y). L(1 / (x \ y),x \ y,x) * (x \ y) = (x \ y) * (y \ x). ((x \ y) * (y \ x)) / (x \ y) = L(1 / (x \ y),x \ y,x). T(x,L(T(x,y),z,u)) = x. (x * L(y,z,u)) / x = L((x * y) / x,z,u). L((x * y) / x,z,u) = (x * L(y,z,u)) / x. (x * ((y * z) \ y)) / x = L((x * (z \ 1)) / x,z,y). L((x * (y \ 1)) / x,y,z) = (x * ((z * y) \ z)) / 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,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. ((((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 != R(y,z,z \ u) * u | x = (y * z) * (z \ u). x * R(y,z,z \ x) = (((x * y) / x) * z) * (z \ x). (((x * y) / x) * z) * (z \ x) = x * R(y,z,z \ x). x * y != R((z * u) / z,w,v5) * z | (z * R(u,w,v5)) / y = x. (x * R(y,z,z \ x)) / (z \ x) = ((x * y) / x) * z. ((x / y) * L(y,z,u)) / (x / y) = L(x / (x / y),z,u). L(x / y,z,u) * y != w | w = y * L(y \ x,z,u). L(x / y,z,u) * y != w | y * L(y \ x,z,u) = w. (x * ((y * x) \ (y * z))) / x = L(z / x,x,y). (x * ((y * x) \ z)) / x = L((y \ z) / x,x,y). L((x \ y) / z,z,x) = (z * ((x * z) \ y)) / z. (x * ((1 / x) * y)) / x = L(y / x,x,1 / x). (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) * (y \ (x * z))) / (x \ y) = L(z / (x \ y),x \ y,x). ((x / y) * R(y,z,u)) / (x / y) = R(x / (x / y),z,u). R(x / y,z,u) * y != w | w = y * R(y \ x,z,u). R(x / y,z,u) * y != w | y * R(y \ x,z,u) = w. x * ((y * (x \ z)) / y) = ((y * (z / x)) / y) * x. ((x * (y / z)) / x) * z = z * ((x * (z \ y)) / x). (x \ y) * ((z * ((x \ y) \ y)) / z) = ((z * x) / z) * (x \ y). (x * ((y * (x \ z)) / y)) / x = (y * (z / x)) / y. x != (1 / y) \ z | x = y / (z \ 1). x * T(x \ 1,y) = x / (T(1 / x,y) \ 1). x / (T(1 / x,y) \ 1) = x * T(x \ 1,y). (x * T(x \ 1,y)) \ x = T(1 / x,y) \ 1. x != (y / z) \ y | x = z. (1 / (1 / x)) * (x * (1 / x)) = x. (1 / (1 / x)) * K(x,1 / x) = x. x != y \ ((y \ 1) \ 1) | x = K(y,y \ 1). K((x \ 1) \ 1,x \ 1) = K(x,x \ 1). (x * (y / x)) \ (y * (y / x)) = x \ y. (x * (y / x)) * (x \ y) = y * (y / x). ((x / y) * (x / (x / y))) * y = x * (x / (x / 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). T((x * y) * z,(y * z) \ (R(x,y,z) \ 1)) = ((y * z) \ (R(x,y,z) \ 1)) \ 1. L((x * y) / x,z,u) * x != w | w = x * L(y,z,u). L((x * y) / x,z,u) * x != w | x * L(y,z,u) = w. (x * y) * ((z * L(u,y,x)) / z) = x * (y * ((z * u) / z)). L((x * (y \ z)) / x,y,u) = (x * ((u * y) \ (u * z))) / x. 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 \ 1) \ z)) / x,y \ 1,y) = (x * (y * z)) / x. L((x * ((y \ z) \ u)) / x,y \ z,y) = (x * (z \ (y * u))) / x. R((x * (1 / y)) / x,y,z) = (x * (z / (y * z))) / x. R((x * ((y / z) / u)) / x,u,z) = (x * (y / (u * z))) / x. R((x * (y / (1 / z))) / x,1 / z,z) = (x * (y * z)) / x. R((x * (y / z)) / x,z,z \ 1) = (x * (y * (z \ 1))) / x. ((x * R(y,z,u)) / x) * (z * u) != w | (((x * y) / x) * z) * u = w. (x * y) \ (y * T(x,y / x)) = a(x,y / x,x). x != (y * T(z,u)) / y | x = T((y * z) / y,u). R(x,y,T(x,y)) = T(((x * y) * x) / (x * y),y). T(((x * y) * x) / (x * y),y) = R(x,y,T(x,y)). T(R(x,y,T(x,y)),z) * (x * y) = (x * y) * T(T(x,y),z). a(1 / (x * y),x,y) \ R((1 / (x * y)) * x,y,y \ 1) = y \ 1. (x * y) * (y \ ((z * x) \ 1)) = R(z,x,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)). L(x \ y,y \ x,1 / (y \ x)) = L(1 / (y \ x),y \ x,y). R(x / (y * x),z,u) * (y * x) = (R(1 / y,z,u) * y) * x. (x / y) * R(y,z,u) != w | R(x / (x / y),z,u) * (x / y) = w. (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(T(x,x * y),z) = x * (y * T(T(x,y),z)). L(x,T(y,z),z) * (y * z) = z * (T(y,z) * T(x,y * z)). x * (T(y,x) * T(z,y * x)) = L(z,T(y,x),x) * (y * x). (x * y) * L(L(z,T(x,y),y),u,w) = y * (T(x,y) * L(z,u,w)). (x * y) * R((y * T(x,y)) \ y,z,u) = y * (T(x,y) * R(T(x,y) \ 1,z,u)). T((x * y) \ (y * z),u) = L(T(T(x,y) \ z,u),T(x,y),y). L(T(T(x,y) \ z,u),T(x,y),y) = T((x * y) \ (y * z),u). (x * y) * T((x * y) \ (x * z),u) != w | x * (y * T(y \ z,u)) = w. R((x * y) \ (y * z),u,w) = L(R(T(x,y) \ z,u,w),T(x,y),y). L(R(T(x,y) \ z,u,w),T(x,y),y) = R((x * y) \ (y * z),u,w). L((x * y) \ (y * z),u,w) = L(L(T(x,y) \ z,u,w),T(x,y),y). L(L(T(x,y) \ z,u,w),T(x,y),y) = L((x * y) \ (y * z),u,w). T(R(x,y,T(z,y)),u) * (z * y) = (T(x,u) * y) * T(z,y). T((x * y) / (z * y),u) * (z * y) = (T(x / z,u) * z) * y. x * y != R(z,u,w) * x | y = R(T(z,x),u,w). T(x,y) = R(T(x,x * y),y,T(x,y)). R(T(x,x * y),y,T(x,y)) = T(x,y). T(x,y) * (x * y) = (T(x,x * y) * y) * T(x,y). (T(x,x * y) * y) * T(x,y) = T(x,y) * (x * y). (x * y) * ((z * ((x * y) \ (u * y))) / z) = ((z * R(u / x,x,y)) / z) * (x * y). ((x * R(y / z,z,u)) / x) * (z * u) = (z * u) * ((x * ((z * u) \ (y * u))) / x). R(T(T(x / y,z),y * u),y,u) = T((y * u) \ (x * u),z). R(x,T(y,x),T(z,y * x)) \ (z * (y * x)) = T(y,x) * T(z,y * x). x \ T(x * y,z) = (x \ 1) * T((x \ 1) \ y,z). (x \ 1) * T((x \ 1) \ y,z) = x \ T(x * y,z). x != 1 / ((y \ 1) * z) | x = (1 / (1 / z)) \ y. (1 / L(x,y \ 1,y)) * y = (1 / (1 / x)) \ y. T(x * (y \ 1),z) / (y \ 1) = T(x / y,z) * y. T(x * y,z) / y = T(x / (1 / y),z) * (1 / y). T(x / (1 / y),z) * (1 / y) = T(x * y,z) / y. (x * y) * T((x * y) \ z,u) != w | x * (y * T(y \ (x \ z),u)) = w. x * T(x \ (x / y),z) = (x / y) * (y * T(y \ 1,z)). (x / y) * (y * T(y \ 1,z)) = x * T(x \ (x / y),z). T((x \ y) / y,z) * y = (T(1 / x,z) * x) * (x \ y). (1 / x) * (x * T(x \ y,z)) = T((1 / x) * y,z). 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). R(T(x,y),x \ z,(x \ z) \ 1) = T(z * ((x \ z) \ 1),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)). x * y != (z * (u * w)) * a(z,u,w) | x \ ((z * u) * w) = y. ((x * y) * a(z,x,y)) \ ((z * x) * y) = R(T(z,(x * y) * a(z,x,y)),x * y,a(z,x,y)). R(T(x,(y * z) * a(x,y,z)),y * z,a(x,y,z)) = ((y * z) * a(x,y,z)) \ ((x * y) * z). T(x,y) * (x \ z) != u | (x \ z) * T((x \ z) \ z,y) = u. (x * y) / a(z,z \ y,T(x,y)) = z * ((z \ y) * T(x,y)). x * y != (z * u) * a(z,w,w \ u) | ((z * w) * (w \ u)) / y = x. ((x * y) * (y \ z)) / T(x * z,a(x,y,y \ z)) = a(x,y,y \ z). x != L(T(y \ 1,z),y,u / y) | x = T(u \ (u / y),z). x \ ((x / y) * ((y \ 1) * y)) = T(x \ (x / y),y). T(L(L(x,y,x),z,u),y) = T(L(x,z,u),x * y). ((x \ T(x,y)) * x) / (x \ T(x,y)) = L(x,x \ T(x,y),x). L(x,x \ y,x) * (x \ y) != z | z = (x \ y) * T(x,y). L(x,x \ y,x) * (x \ y) != z | (x \ y) * T(x,y) = z. x != 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 \ ((y \ x) * y) = (x \ y) * T((x \ y) \ 1,y). (x \ y) * T((x \ y) \ 1,y) = x \ ((y \ x) * y). x \ ((y \ (x * z)) * y) = (x \ y) * T((x \ y) \ z,y). (x \ y) * T((x \ y) \ z,y) = x \ ((y \ (x * z)) * y). (x / y) \ (L(z,y,x / y) * x) != u | u = y * T(z,x). (x / y) \ (L(z,y,x / y) * x) != u | y * T(z,x) = u. (x / y) \ ((x \ (x / y)) * x) = y * T(y \ 1,x). x \ (y * (z \ x)) = R(T(y / z,x),z,z \ x). R(T(x / y,z),y,y \ z) = z \ (x * (y \ z)). T(x \ ((x / y) * z),y) = x \ ((x / y) * ((y \ z) * y)). x \ ((x / y) * ((y \ z) * y)) = T(x \ ((x / y) * z),y). L(((x / y) \ z) / y,y,x / y) = (y * (x \ z)) / y. L((x \ (y * (x * z))) / z,z,x) = (z * T(y,x * z)) / z. L((x \ (T(x,y) * y)) / y,y,x) = (y * K(T(x,y),y)) / y. (x * y) * (y \ (x \ (z \ 1))) = R(z,x,y) \ 1. (1 / T(x * y,z)) * x = (1 / (1 / T((x \ 1) \ y,z))) \ x. (1 / (1 / T((x \ 1) \ y,z))) \ x = (1 / T(x * y,z)) * x. T(L(L(x,y,z),u,x),u) = T(L(x,y,z),x * u). (x \ (y * (z \ x))) * x = (T(y / z,x) * z) * (z \ x). (x * y) \ (R(z,x,y) \ 1) = y \ (x \ (z \ 1)). (x * y) * T(L(x,z,u),x * y) = x * (y * T(L(x,z,u),y)). T(x,L(L(x,y,z),u,w)) = x. (x \ 1) * ((y \ 1) \ (z \ 1)) = ((y / z) \ x) \ 1. (x * (T(y,x) * z)) \ ((y * x) * z) != u | a(x,T(y,x),z) = u. x != y * z | x = R(y,z,z \ 1) / (z \ 1). x * ((y * (x \ z)) / y) = R((y * (z / x)) / y,x,x \ 1) / (x \ 1). R((x * (y / z)) / x,z,z \ 1) / (z \ 1) = z * ((x * (z \ y)) / x). (x * ((y * z) / 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. 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). T(x,y) * z != T(x,y) * (x * y) | T(T(x,x * y) * y,T(x,y)) = z. T(T(x,x * y) * y,T(x,y)) = x * y. 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 != (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 \ T(x,y)) \ 1 = (x \ 1) \ (T(x,y) \ 1). (x \ 1) \ (T(x,y) \ 1) = (x \ T(x,y)) \ 1. (x * y) \ (y * (x \ T(x,y))) = L(x \ 1,T(x,y),y). (x \ T(x,y)) * ((x \ 1) \ (T(x,y) \ 1)) = 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. 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. x * y != T(z / (1 / u),w) * (1 / u) | x \ (T(z * u,w) / u) = y. (1 / x) \ (T(y * x,z) / x) = T((1 / x) \ y,z). ((1 / x) \ y) * (1 / x) = T(y * x,1 / x) / x. T(x * y,1 / y) / y = ((1 / y) \ x) * (1 / y). (1 / x) \ T(y,z) = x * T(x \ ((1 / x) \ y),z). x * T(x \ ((1 / x) \ y),z) = (1 / x) \ T(y,z). x * T(x \ (x / y),y) = (x / y) * ((y \ 1) * y). (x / y) * ((y \ 1) * y) = x * T(x \ (x / y),y). x != (y * z) \ ((y \ (y * z)) * y) | x = K(z,y). ((x * y) \ x) * T(((x * y) \ x) \ 1,x) = K(y,x). K(x,y) = ((y * x) \ y) * T(((y * x) \ y) \ 1,y). x * y != (z * u) \ ((z \ (z * u)) * z) | x \ K(u,z) = y. ((x * y) \ x) \ K(y,x) = T(((x * y) \ x) \ 1,x). T(((x * y) \ x) \ 1,x) = ((x * y) \ x) \ K(y,x). K(x \ (x / y),x) = y * T(y \ 1,x). x * y != z \ ((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 != (y \ 1) * T((y \ 1) \ 1,z) | x = y \ T(y,z). K(x \ (x / (y \ 1)),x) = y \ T(y,x). x * y != z * T(z \ 1,u) | K(u \ (u / z),u) / y = x. K(x \ (x / y),x) / y = T(1 / y,x). K(x \ (x / y),x) \ y = T(1 / y,x) \ 1. K(x \ (x / ((y / x) \ 1)),x) = (y / x) \ (x \ y). K(x \ (x / (((x * y) / x) \ 1)),x) = ((x * y) / x) \ y. K((x * y) \ x,x * y) / y = T(1 / y,x * y). (x \ 1) * ((y \ 1) \ z) = ((y / (1 / z)) \ x) \ 1. ((x / (1 / y)) \ z) \ 1 = (z \ 1) * ((x \ 1) \ y). x * (T(y,z) * (x \ 1)) = T(x * (y * (x \ 1)),z). T(x * (y * (x \ 1)),z) = x * (T(y,z) * (x \ 1)). x * (((x \ 1) \ y) * (x \ 1)) = T(x * y,x \ 1). (x / y) \ T(x,(x / y) \ 1) = (((x / y) \ 1) \ y) * ((x / y) \ 1). (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). (x * T(x \ y,z)) * (x \ 1) = T(y * (x \ 1),z). 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. (1 / x) \ (T(x,y) / x) = T(x,y). (1 / (x / y)) * (y \ x) = T(x / y,y) / (x / y). T(x / y,y) / (x / y) = (1 / (x / y)) * (y \ x). T(x \ 1,y) / (x \ 1) != z | x * T(x \ 1,y) = z. T((T(x,y) * (1 / x)) / T(x,y),T(x,y) / x) = L(1 / x,T(x,y),1 / x). K(x \ (x / (1 / y)),x) = T(y,x) / 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(T(1 / x,T(x,y)),T(x,y)) = x * T(x \ 1,T(x,y)). (1 / x) \ (T(y,z) / x) = T((1 / x) \ (y / x),z). (1 / x) * T((1 / x) \ y,z) != u | u = T(y * x,z) / x. (1 / x) * T((1 / x) \ y,z) != u | T(y * x,z) / x = u. T(x,1 / y) / y = ((1 / y) \ (x / y)) * (1 / y). ((1 / x) \ (y / x)) * (1 / x) = T(y,1 / x) / x. ((1 / x) \ y) \ ((1 / x) \ T(y,x)) = K(x \ ((1 / x) \ y),x). (x / y) * K(y \ 1,y) = x * T(x \ (x / y),y). ((x * y) \ x) * T(((x * y) \ x) \ 1,x) != z | z = K(y,x). ((x * y) \ x) * T(((x * y) \ x) \ 1,x) != z | K(y,x) = z. T(L(x \ 1,x,y) \ 1,y) = ((y * x) \ y) \ K(x,y). (((x * y) \ x) \ K(y,x)) / (((x * y) \ x) \ 1) = ((x * y) \ x) * T(((x * y) \ x) \ 1,x). (x \ y) / (y / x) = (1 / (y / x)) * (x \ y). (1 / (x / y)) * (y \ x) = (y \ x) / (x / y). (x \ y) * z != (x \ y) / (y / x) | T(1 / (y / x),x \ y) = z. T(1 / (x / y),y \ x) = (y \ x) \ ((y \ x) / (x / y)). (x \ y) \ ((x \ y) / (y / x)) = T(1 / (y / x),x \ y). (x \ y) / (y / x) != (x \ y) * z | T(1 / (y / x),x \ y) = z. 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)). K(x \ 1,x) * L(L(y,x,x \ 1),z,u) = (x \ 1) * (x * L(y,z,u)). (x * y) * L((x * y) \ z,u,w) = x * (y * L(y \ (x \ z),u,w)). x != y * (z * (z \ u)) | x = y * u. K(x \ 1,x) * L(x \ y,x,x \ 1) = (x \ 1) * y. K(x \ 1,x) * T(((x \ 1) * x) \ y,z) = (x \ 1) * (x * T(x \ ((x \ 1) \ y),z)). L((x * y) / (z * y),u,w) * (z * y) = (L(x / z,u,w) * z) * y. L(x / (y * z),u,w) * (y * z) = (L((x / z) / y,u,w) * y) * z. (L((x / y) / z,u,w) * z) * y = L(x / (z * y),u,w) * (z * y). R((x * y) / (z * y),u,w) * (z * y) = (R(x / z,u,w) * z) * y. R(x \ T(x,y),K(x \ 1,T(x,y)),z) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,T(x,y)) * z. x \ L(L(y,x \ 1,x),z,u) != (x \ 1) * w | L(y,z,u) = w. x \ L(x * y,z,u) = (x \ 1) * L((x \ 1) \ y,z,u). (x \ 1) * L((x \ 1) \ y,z,u) = x \ L(x * y,z,u). (1 / x) \ L(1 / x,y,z) = x * L(x \ 1,y,z). (1 / x) \ L((1 / x) * y,z,u) = x * L(x \ y,z,u). (x * L(x \ 1,y,z)) \ x = L(1 / x,y,z) \ 1. L(x \ 1,y,z) / (x \ 1) = L(1 / x,y,z) * x. L(x * (y \ 1),z,u) / (y \ 1) = L(x / y,z,u) * y. x != L(y / z,u,w) * z | x = z * L(z \ y,u,w). L(x \ 1,y,z) / (x \ 1) = x * L(x \ 1,y,z). x != y * L(z \ 1,z,u) | x = y * ((u * z) \ u). L(x \ 1,x,y) / (x \ 1) = x * ((y * x) \ y). (x * ((y * x) \ y)) * (x \ 1) = L(x \ 1,x,y). (x * ((y * x) \ y)) \ L(x \ 1,x,y) = x \ 1. x != L(y \ 1,y,z) | x = (z * y) \ z. (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. ((x \ y) * (y \ x)) \ L((x \ y) \ 1,x \ y,x) = (x \ y) \ 1. R(R(x,1 / y,y),z,u) / y != w * (1 / y) | R(x,z,u) = w. L(T(x / ((1 / x) * x),y),z,u) / x = L(T(1 / (1 / x),y),z,u) * (1 / x). L(T(x,1 / x),y,z) / x = L(x,y,z) * (1 / x). T(L(x,y,z),1 / x) / x = L(x,y,z) * (1 / x). x * (1 / y) != T(z,1 / y) / y | x = (1 / y) \ (z / y). L(x,y,z) = (1 / x) \ (L(x,y,z) / x). (1 / x) \ (L(x,y,z) / x) = L(x,y,z). (1 / x) * L(x,y,z) = L(x,y,z) / x. (L(x,y,z) / x) / L(x,y,z) = 1 / x. L(L(x,y,z) \ u,L(x,y,z),1 / x) = (L(x,y,z) / x) \ ((1 / x) * u). T((L(x,y,z) * (1 / x)) / L(x,y,z),L(x,y,z) / x) = L(1 / x,L(x,y,z),1 / x). K(x \ 1,x) * R(((x \ 1) * x) \ y,z,u) = (x \ 1) * (x * R(x \ ((x \ 1) \ y),z,u)). (x * y) * L((x * y) \ z,u,w) != v5 | x * (y * L(y \ (x \ z),u,w)) = v5. K(x \ 1,x) * L(((x \ 1) * x) \ y,z,u) = (x \ 1) * (x * L(x \ ((x \ 1) \ y),z,u)). (1 / x) * (x * R(x \ y,z,u)) = R((1 / x) * y,z,u). L(L(T(x \ 1,x),x,y),y * x,1 / (y * x)) = R((1 / (y * x)) * y,x,x \ 1). 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). (R(x / y,z,u) * y) * (y \ 1) = R(x * (y \ 1),z,u). (x / (y * z)) \ (x / z) = R(y,z,x \ 1). (x / (y * (z \ x))) \ z = R(y,z \ x,x \ 1). (x / y) \ z = R(y / (z \ x),z \ x,x \ 1). R(x / (y \ z),y \ z,z \ 1) = (z / x) \ y. L(x,T(y,x),x) * T(y,x) != T(y,x) * z | T(x,y * x) = z. T(x,y) * z != L(y,T(x,y),y) * T(x,y) | T(y,x * y) = z. x * T(x \ (y * z),u) = y * ((y \ x) * T((y \ x) \ z,u)). x * ((x \ y) * T((x \ y) \ z,u)) = y * T(y \ (x * z),u). T((x * y) / z,u) * z = (T(x / (z / y),u) * (z / y)) * y. (T(x / (y / z),u) * (y / z)) * z = T((x * z) / y,u) * y. x != T(R(y,z,u),w) * (z * u) | x = (T(y,w) * z) * u. (x * y) * T(T(y,x),z) = (T(y,z) * x) * y. (x * y) * ((z * ((x * y) \ x)) / z) = x * (y * ((z * (y \ 1)) / z)). (x * y) * ((z * ((x * y) \ x)) / z) != u | x * (y * ((z * (y \ 1)) / z)) = u. (x * ((y \ x) / x)) / (y \ x) = ((x * (1 / y)) / x) * y. L(T(x / y,z),u,w) * y != v5 | y * L(T(y \ x,z),u,w) = v5. ((x * (y / (z * y))) / x) * (z * y) = (((x * (1 / z)) / x) * z) * y. R(T(x \ 1,x * y),x,y) = T((x * y) \ y,x). R(T(x,y * z),y,z) = T((y * z) \ ((y * x) * z),y). T((x * y) \ ((x * z) * y),x) = R(T(z,x * y),x,y). L(x \ 1,x,y) * T(L(x \ 1,x,y) \ 1,y) = K(x,y). K(x,y) = L(x \ 1,x,y) * T(L(x \ 1,x,y) \ 1,y). (x \ 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. 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(T(z,z \ u),w,v5) | x \ R((z \ u) \ u,w,v5) = y. ((x \ y) \ y) \ R((z \ u) \ u,w,v5) = T(x,x \ y) \ R(T(z,z \ u),w,v5). T(x,x \ y) \ R(T(z,z \ u),w,v5) = ((x \ y) \ y) \ R((z \ u) \ u,w,v5). (x * y) * T((x * y) \ y,z) = (T(1 / x,z) * x) * y. (x * y) * T((x * y) \ z,x) = ((x \ (z / y)) * x) * y. T(x,y) * (x * z) = x * (z * T(T(x,z),y)). x * (y * T(T(x,y),z)) = T(x,z) * (x * y). x * (T(x,y) * z) = T(x,y) * (x * z). T(x,y) * (x * z) = x * (T(x,y) * z). x \ (T(x,y) * z) = T(x,y) * (x \ z). T(x,y) * z = x * (T(x,y) * (x \ z)). x * (T(x,y) * (x \ z)) = T(x,y) * z. T(x,y) * (x * (T(x,y) \ z)) = x * z. (x * y) * z != x * (T(x,u) * y) | T(T(x,u),x * y) = z. T(T(x,y),x * (T(x,y) \ z)) = (x * (T(x,y) \ z)) \ (x * z). (x * (T(x,y) * z)) / (x * z) = T(x,y). x * y != z * (u * (u \ w)) | x \ (z * w) = y. T(x,y) \ (x * z) = x * (T(x,y) \ z). x * y != z * (u * (u \ (z \ w))) | x \ w = y. T(x,y) \ z = x * (T(x,y) \ (x \ z)). x * (T(x,y) \ (x \ z)) = T(x,y) \ z. x * y != z * (u * (u \ 1)) | x \ z = y. T(x,y) \ x = x * (T(x,y) \ 1). x * (T(x,y) \ 1) = T(x,y) \ x. T(x / y,z) * x = (x / y) * (T(x / y,z) * y). (x / y) * (T(x / y,z) * y) = T(x / y,z) * x. T(x,y) * (z * x) = x * (T(x,y) * T(z,x)). x * (T(x,y) * T(z,x)) = T(x,y) * (z * x). (x \ y) * ((y / x) * z) = (y / x) * (T(y / x,x) * z). (x / y) * (T(x / y,y) * z) = (y \ x) * ((x / y) * z). (T(x,y) \ x) / (T(x,y) \ 1) = x. 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. (T(x,y) \ T(x,z)) / (T(x,y) \ 1) = T(x,z). T(x,y) * z != x * u | T(x,y) * (x \ z) = u. T(x,T(y,x)) = y * (T(y,x) \ x). x * (T(x,y) \ y) = T(y,T(x,y)). x * y != z * ((z \ x) * u) | y = L(u,z \ x,z). x * (T(x,y) \ ((x \ T(x,y)) * z)) = L(z,x \ T(x,y),x). x * y != z * (x / z) | y = K(z,x / z). x * (T(x,y) \ (T(x,y) / x)) = K(x,T(x,y) / x). x * y != T(x,z) * u | x * (T(x,z) \ y) = u. T(x,y) * z != x * u | x * (T(x,y) \ u) = z. (x / y) * ((y \ x) \ y) = T(y,T(x / y,y)). x \ (T(x,y) \ z) = T(x,y) \ (x \ z). T(x,y) \ (x \ z) = x \ (T(x,y) \ z). x * (T(x,y) \ (x \ z)) != u | u = T(x,y) \ z. x * (T(x,y) \ (x \ z)) != u | T(x,y) \ z = u. x * y != T(x,z) * (z * x) | T(T(x,z * x) * z,x) = y. T(T(x,y * x) * y,x) = T(x,y) * T(y,x). T(x,y) * T(T(x,y) \ x,x) = L(x,T(x,y) \ x,T(x,y)). T(x,y) * (T(x,z) \ 1) = T(x,z) \ T(x,y). (x / y) * ((y \ x) \ y) = T(y,y \ x). ((x * y) / x) * (y \ x) = T(x,x \ (x * y)). (x \ y) * (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,x / y) / y = (x * (x / 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(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)). T(T(x,x / y) / y,x) = x / y. ((x * (x / y)) / x) * y != z | z = T(x,x / y). ((x * (x / y)) / x) * y != z | T(x,x / y) = z. x != ((y * (z / u)) / y) * u | x = u * ((y * (u \ z)) / y). T(x,x / y) = y * ((x * (y \ x)) / x). x * ((y * (x \ y)) / y) = T(y,y / x). (x / y) * ((x * y) / x) = T(x,x / (x / y)). (x * y) * L((x \ y) / y,y,x) = T(y,y / (x * y)). 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. x * (T(x,y) \ z) != u | T(x,y) \ (x * z) = u. x * ((y * (x \ y)) / y) != z | T(y,y / x) = z. (x / y) * (y * T(y \ x,z)) = T(x / y,z) * x. x * T(1 / x,T(x,y)) = K(x,T(x,y) / x). 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 * T(x \ (x / y),z) != (x / y) * u | y * T(y \ 1,z) = u. (x / y) * z != x * T(x \ (x / y),u) | y * T(y \ 1,u) = z. x * T(x \ (y \ x),z) = (T(1 / y,z) * y) * (y \ x). (T(1 / x,y) * x) * (x \ z) = z * T(z \ (x \ z),y). (x \ (y * (z \ x))) * x = (z * T(z \ y,x)) * (z \ x). T((x * y) / x,K(x \ (x / (((x * y) / x) \ 1)),x)) != z | (((x * y) / x) \ y) \ y = z. K((x / y) \ ((x / y) / (T(x / (x / y),z) \ 1)),x / y) = (((x / y) * T(y,z)) / (x / y)) \ T(y,z). K(T(1 / (1 / x),x \ 1),x \ 1) = T(x,x \ 1) / x. (x \ 1) * L((x \ 1) \ 1,y,z) = x \ L(x,y,z). (x \ 1) * ((y * (x \ 1)) \ z) = x \ L(x * (y \ z),x \ 1,y). x \ L(x * (y \ z),x \ 1,y) = (x \ 1) * ((y * (x \ 1)) \ z). x != (y \ z) * L((y \ z) \ z,u,w) | x = L(y,u,w) * (y \ z). x \ L(x,y,z) = L(x,y,z) * (x \ 1). L(x,y,z) * (x \ 1) = x \ L(x,y,z). x * y != (z \ 1) * L((z \ 1) \ 1,u,w) | x \ (z \ L(z,u,w)) = y. L(x,y,z) \ (x \ L(x,y,z)) = x \ 1. ((x * y) \ z) * ((y \ (x \ z)) \ 1) = (y \ (x \ z)) \ L(y \ (x \ z),y,x). (x \ (y \ z)) \ L(x \ (y \ z),x,y) = ((y * x) \ z) * ((x \ (y \ z)) \ 1). (x \ y) \ (((y \ x) \ 1) \ L((y \ x) \ 1,y \ x,y)) = ((y \ x) \ 1) \ 1. (1 / x) \ L(y,z,u) = x * L(x \ ((1 / x) \ y),z,u). x * L(x \ ((1 / x) \ y),z,u) = (1 / x) \ L(y,z,u). L(x * (y \ 1),z,u) / (y \ 1) = y * L(y \ x,z,u). (1 / x) * (x * R(x \ 1,y,z)) = R(1 / x,y,z). (1 / x) \ R(1 / x,y,z) = x * R(x \ 1,y,z). x * y != R(1 / (z / u),z / u,u) | x \ (u / z) = y. (1 / (x / y)) \ (y / x) = (x / y) * R((x / y) \ 1,x / y,y). (x / y) * R((x / y) \ 1,x / y,y) = (1 / (x / y)) \ (y / x). (1 / x) * ((y / (x * y)) * x) = R(1 / x,x,y). x != R(1 / y,y,z) | x = z / (y * z). (1 / x) * ((y / (x * y)) * x) = y / (x * y). x * y != R(1 / z,z,z \ u) | ((z \ u) / u) / y = x. ((x \ y) / y) / (((x \ y) / (x * (x \ y))) * x) = 1 / x. ((x / (y * x)) * y) * z != x / (y * x) | T(1 / y,(x / (y * x)) * y) = z. T(1 / x,(y / (x * y)) * x) = L(x \ 1,x,y / (x * y)). (x * R(x \ 1,y,z)) \ x = R(1 / x,y,z) \ 1. (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) | (z \ R(z,u,w)) / y = x. (x \ R(x,y,z)) / (x \ 1) = R(x,y,z). x * y != (z \ 1) * R((z \ 1) \ 1,u,w) | x \ (z \ R(z,u,w)) = y. R(x,y,z) \ (x \ R(x,y,z)) = x \ 1. (x \ R(x,y,z)) * K(x \ 1,R(x,y,z)) = (x \ 1) * R(x,y,z). (x \ R(x,y,z)) \ 1 = (x \ 1) \ (R(x,y,z) \ 1). (x \ 1) \ (R(x,y,z) \ 1) = (x \ R(x,y,z)) \ 1. T((R(x,y,z) * (1 / x)) / R(x,y,z),x) = (x \ R(x,y,z)) / R(x,y,z). K(R(x,y,z) \ (R(x,y,z) / (((x \ R(x,y,z)) / R(x,y,z)) \ 1)),R(x,y,z)) = ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1). (x * R(x \ y,z,u)) * (x \ 1) = R(y * (x \ 1),z,u). (x * ((y \ x) / x)) / (y \ x) = y * ((x * (y \ 1)) / x). 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((x * y) \ y,z) = (x * T(x \ 1,z)) * y. x != (y * z) * T((y * z) \ y,u) | x = y * (z * T(z \ 1,u)). ((x \ (x / y)) * x) * y = x * (y * T(y \ 1,x)). ((x \ 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 \ R(1 / y,y,x)) * x) * (y * x) = x * ((y * x) * T((y * x) \ 1,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 \ y) \ (y / x) = (y / x) * ((x \ y) \ 1). (x / y) * ((y \ x) \ 1) = (y \ x) \ (x / y). ((x * y) / x) * (y \ 1) = (x \ (x * y)) \ ((x * y) / x). (x \ (x * y)) \ ((x * y) / x) = ((x * y) / x) * (y \ 1). ((x \ 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). L(x * y,z,u) / ((1 / y) \ 1) = (1 / y) * L((1 / y) \ x,z,u). ((x \ y) / y) / (((x \ y) / y) * x) = 1 / x. (1 / x) \ ((x \ y) / y) = ((x \ y) / y) * x. ((x \ y) / y) * x = x / (((x \ y) / y) \ 1). x / (((x \ y) / y) \ 1) = ((x \ y) / y) * x. R(x * (y \ 1),z,u) / (y \ 1) = y * R(y \ x,z,u). (x * T(x \ 1,y)) * z != (u * x) * T((u * x) \ u,y) | T(u,x * T(x \ 1,y)) = z. T(x,x * T(x \ 1,y)) = x. T(x,(x \ 1) * x) = x. R(x,(x * T(x \ 1,y)) / x,x) = T(x,(x * T(x \ 1,y)) / x). 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). T(x,x \ 1) \ x = (x \ 1) * x. T(x \ T(x,y),x \ 1) = x \ T(x,y). (x \ T(x,y)) * (x \ 1) = (x \ 1) * (x \ T(x,y)). (x * (1 / y)) / x = T((x * (1 / y)) / x,T(y,z) / y). T((x * (1 / y)) / x,T(y,z) / y) = (x * (1 / y)) / x. x * y != T(x,x \ 1) \ x | T(x \ 1,x) = y. T(x \ 1,x) = T(x,x \ 1) \ 1. T(x,x \ 1) \ 1 = T(x \ 1,x). ((x \ 1) \ 1) \ x = (x \ 1) * x. 1 / T(x \ 1,x) = T(x,x \ 1). ((x \ 1) \ 1) \ 1 = T(x \ 1,x). T(x \ 1,x) = ((x \ 1) \ 1) \ 1. ((x \ 1) \ 1) \ x = K(x \ 1,x). ((x \ 1) \ 1) \ x != y | K(x \ 1,x) = y. T(x \ 1,x) = T(x \ 1,(x \ 1) \ 1). T(x \ 1,(x \ 1) \ 1) = T(x \ 1,x). T((x \ 1) \ 1,x \ 1) = T(x \ 1,x) \ 1. ((x \ 1) \ 1) * K(x \ 1,x) = x. L(x \ T(x,y),x,y) = T((y * x) \ (x * y),x \ 1). T((x * y) \ (y * x),y \ 1) = L(y \ T(y,x),y,x). x != L(y \ T(y,z),y,z) | x = K(y,z). T((x * y) \ (y * x),y \ 1) = K(y,x). K(x,y) = T((y * x) \ (x * y),x \ 1). K(x,y) = T(K(x,y),x \ 1). T(K(x,y),x \ 1) = K(x,y). T(x \ 1,K(x,y)) = x \ 1. (x \ 1) * K(x,y) = K(x,y) * (x \ 1). K(x,y) * (x \ 1) = (x \ 1) * K(x,y). (x \ 1) * K(x,y) != z | K(x,y) * (x \ 1) = z. T((x * y) \ x,K(y,z)) = L(y \ 1,y,x). x != ((y \ 1) \ 1) * K(y \ 1,y) | x = y. K(x \ 1,x) * ((x \ 1) \ 1) = x. 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). T(K(x,y),1 / x) = K(x,y). T(1 / x,K(x,y)) = 1 / x. R(1 / (x / y),x / y,y) = T((1 * y) / x,K(x / y,z)). T((1 * x) / y,K(y / x,z)) = R(1 / (y / x),y / x,x). x * K(x \ 1,y) != z | K(x \ 1,y) * x = z. x \ ((y * x) / y) = ((y * x) / y) * (x \ 1). ((x * y) / x) * (y \ 1) = y \ ((x * y) / x). (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. R(x \ 1,y,z) / (x \ 1) = x * R(x \ 1,y,z). 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). 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)). ((x \ y) / y) * R(((x \ y) / y) \ (((x \ y) / y) * x),z,u) = R(x,z,u) / (((x \ y) / y) \ 1). L(K(x,y) \ T(T(x,y),z),K(x,y),y * x) = (x * y) \ ((T(x,z) * y) * 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. 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). x \ (R(x,y,z) * u) = R(x,y,z) * (x \ u). (R(x,y,z) * u) / (R(x,y,z) * (x \ u)) = x. R(x,y,z) * 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 * (R(x,y,z) * u)) = x * u. R(x,y,z) \ x = x * (R(x,y,z) \ 1). x * (R(x,y,z) \ 1) = R(x,y,z) \ x. (R(x,y,z) * u) * w != R(x,y,z) * (x * u) | T(x,R(x,y,z) * u) = w. T(x,R(x,y,z) * (x \ u)) = (R(x,y,z) * (x \ u)) \ (R(x,y,z) * u). (R(x,y,z) * (x \ u)) \ (R(x,y,z) * u) = T(x,R(x,y,z) * (x \ u)). R(x,y,z) * (u * x) = x * (R(x,y,z) * T(u,x)). x * (R(x,y,z) * T(u,x)) = R(x,y,z) * (u * x). R(x,y,z) \ T(R(x,y,z) * (R(x,y,z) \ x),u) = T(x,u) * (R(x,y,z) \ 1). x \ ((x * y) * z) = R(x,y,z) * (x \ (y * z)). R(x,y,z) * (x \ (y * z)) = x \ ((x * y) * z). x \ ((x * y) * (y \ z)) = R(x,y,y \ z) * (x \ z). R(x,y,y \ z) * (x \ z) = x \ ((x * y) * (y \ z)). x \ (R(x,y,z) * u) != w | w = R(x,y,z) * (x \ u). x \ (R(x,y,z) * u) != w | R(x,y,z) * (x \ u) = w. x * y != R(z,u,x) * (u * x) | T(z * u,x) = y. T(x * y,x) = R(x,y,x) * (x \ (y * x)). R(x,y,x) * (x \ (y * x)) = T(x * y,x). R(x,y,x) * T(y,x) = T(x * y,x). R(x,y,x) \ T(x * y,x) = T(y,x). (x \ ((x * y) * z)) / (x \ (y * z)) = R(x,y,z). R(x,y,z) = (x \ ((x * y) * z)) / (x \ (y * z)). ((x * ((y \ x) \ z)) / z) * (y \ z) = y \ ((y * (y \ x)) * ((y \ x) \ z)). x \ ((x * (x \ y)) * ((x \ y) \ z)) = ((y * ((x \ y) \ z)) / z) * (x \ z). L((x \ y) / y,z,u) * y = (L(1 / x,z,u) * x) * (x \ y). x * L(x \ (y * z),u,w) = y * ((y \ x) * L((y \ x) \ z,u,w)). x * ((x \ y) * L((x \ y) \ z,u,w)) = y * L(y \ (x * z),u,w). 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). R((x * y) / z,u,w) * z = (R(x / (z / y),u,w) * (z / y)) * y. (R(x / (y / z),u,w) * (y / z)) * z = R((x * z) / y,u,w) * y. x != L(R(y,z,u),w,v5) * (z * u) | x = (L(y,w,v5) * z) * u. (x * y) * L(T(y,x),z,u) = (L(y,z,u) * x) * y. 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)) * x) * y = (x * y) * R(L(z,y,x),x,y). (x * y) * ((z * ((x * y) \ (x * u))) / z) = x * (y * ((z * (y \ u)) / z)). (x * y) * ((z * ((x * y) \ u)) / z) = x * (y * ((z * (y \ (x \ u))) / z)). (x * y) * ((z * ((x * y) \ (x * u))) / z) != w | x * (y * ((z * (y \ u)) / z)) = w. (x * y) * ((z * ((x * y) \ u)) / z) != w | x * (y * ((z * (y \ (x \ u))) / z)) = w. x * ((y * (x \ (x / z))) / y) = (x / z) * (z * ((y * (z \ 1)) / y)). (x / y) * (y * ((z * (y \ 1)) / z)) = x * ((z * (x \ (x / y))) / z). x * y != L((z * (u \ w)) / z,u,1 / u) | x \ ((z * ((1 / u) * w)) / z) = y. (1 / x) \ ((y * ((1 / x) * z)) / y) = x * ((y * (x \ z)) / y). x * y != L((z * ((u \ 1) \ w)) / z,u \ 1,u) | x \ ((z * (u * w)) / z) = y. x \ ((y * (x * z)) / y) = (x \ 1) * ((y * ((x \ 1) \ z)) / y). (x \ 1) * ((y * ((x \ 1) \ z)) / y) = x \ ((y * (x * z)) / y). x * y != R((z * (u / (1 / w))) / z,1 / w,w) | ((z * (u * w)) / z) / y = x. ((x * (y * z)) / x) / z = ((x * (y / (1 / z))) / x) * (1 / z). ((x * (y / (1 / z))) / x) * (1 / z) = ((x * (y * z)) / x) / z. (x * y) * T((x * y) \ (y * z),u) = y * (T(x,y) * T(T(x,y) \ z,u)). x != T(R(y,z,T(y,z)),u) * (y * z) | x = (y * z) * T(T(y,z),u). (T(x,y) * z) * T(x,z) = (x * z) * T(T(x,z),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). x != T(y,z) * (y \ 1) | x = y \ T(y,z). T(T(x,x \ 1),y) / T(x,x \ 1) = x \ T(x,y). (x * y) * T((x * y) \ (z * y),u) = (T(z / x,u) * x) * y. x != y * ((y \ z) * T(u,z)) | x = L(u,y \ z,y) * z. (x * y) / a(z,z \ y,T(x,y)) = L(x,z \ y,z) * y. (L(x,y \ z,y) * z) \ (x * z) = a(y,y \ z,T(x,z)). L((x \ (y * (x * z))) / z,z,x) = T((z * y) / z,x * z). L((T(x,y) * (x \ y)) / y,y,x) = (y * K(T(x,y),y)) / y. x != R(1 / (y / z),y / z,z) | x = z / y. T((1 * x) / y,K(y / x,z)) = x / y. T(x / y,K(y / x,z)) = x / y. T(x / y,y) = T(y \ x,K(y / x,z)). T(x \ y,K(x / y,z)) = T(y / x,x). T(x \ y,K(x / y,z)) = x \ y. (x * y) \ ((z * y) * R(x / z,z,y)) = K(z * y,R(x / z,z,y)). (x * y) * R((x * y) \ (x * z),u,w) != v5 | x * (y * R(y \ z,u,w)) = v5. x != ((y * z) / y) * (z \ 1) | x = z \ ((y * z) / y). (x \ 1) * ((y * ((x \ 1) \ 1)) / y) = x \ ((y * x) / y). L(1 / (x \ y),x \ y,x) * ((y \ x) \ 1) = (y \ x) \ L(y \ x,x \ y,1 / (x \ y)). (x \ y) \ L(x \ y,y \ x,1 / (y \ x)) = L(1 / (y \ x),y \ x,y) * ((x \ y) \ 1). (x * y) * R((x * y) \ y,z,u) = (R(1 / x,z,u) * x) * y. x != (y * z) * T((y * z) \ u,y) | x = ((y \ (u / z)) * y) * z. x * (y * T(y \ z,x)) = ((x \ ((x * z) / y)) * x) * y. ((x \ ((x * y) / z)) * x) * z = x * (z * T(z \ y,x)). ((x \ (y / z)) * x) * z = x * (z * T(z \ (x \ y),x)). x * (y * T(y \ (x \ z),x)) = ((x \ (z / y)) * x) * y. ((x \ y) * x) * x = x * (x * T(x \ T(y,x),x)). x * (x * T(x \ T(y,x),x)) = ((x \ y) * x) * x. T((x \ y) * x,x) = x * T(x \ T(y,x),x). x * T(x \ T(y,x),x) = T((x \ y) * x,x). (x \ T(y,x)) * x = T((x \ y) * x,x). T((x \ y) * x,x) = (x \ T(y,x)) * x. x * y != z * T(z \ T(u,z),z) | T((z \ u) * z,z) / y = x. T((x \ y) * x,x) / x = x \ T(y,x). T(x,y) \ T((y \ x) * y,y) = K(y \ T(x,y),y). x * (T((x \ y) * x,x) / x) = T(y,x). T(x * y,y) / y = y \ T(y * x,y). (x \ T(y,x)) * x != z | z = T((x \ y) * x,x). (x \ T(y,x)) * x != z | T((x \ y) * x,x) = z. T(x,y) / y = y \ T(y * (x / y),y). x \ T(x * (y / x),x) = T(y,x) / x. x * (T(y * x,x) / x) = T(x * y,x). x * (T(y,x) / x) = T(x * (y / x),x). T(x * (y / x),x) = x * (T(y,x) / x). T(x * T(y,z),x) / x = x \ T(x * T((x * y) / x,z),x). x \ T(x * T((x * y) / x,z),x) = T(x * T(y,z),x) / x. T(x * L(y,z,u),x) / x = x \ T(x * L((x * y) / x,z,u),x). x \ T(x * L((x * y) / x,z,u),x) = T(x * L(y,z,u),x) / x. x * ((1 / x) * T(y,x)) = T(x * ((1 / x) * y),x). T(x * ((1 / x) * y),x) = x * ((1 / x) * T(y,x)). (x \ 1) * (T(x \ R(x,y,z),x \ 1) / (x \ 1)) = T((x \ 1) * R(x,y,z),x \ 1). T(x * y,x) \ T(y * x,x) = K(x \ T(x * y,x),x). x * (y \ T(y * (x \ z),x)) = ((x \ (z / (y \ 1))) * x) * (y \ 1). ((x \ (y / (z \ 1))) * x) * (z \ 1) = x * (z \ T(z * (x \ y),x)). x * (T((x \ y) * z,x) / z) = ((x \ (y / (1 / z))) * x) * (1 / z). ((x \ (y / (1 / z))) * x) * (1 / z) = x * (T((x \ y) * z,x) / z). x * (K(x \ 1,x) * (x \ y)) = ((x \ (y / y)) * x) * y. ((x \ (y / y)) * x) * y = x * (K(x \ 1,x) * (x \ y)). ((x \ 1) * x) * y = x * (K(x \ 1,x) * (x \ y)). x * (K(x \ 1,x) * (x \ y)) = ((x \ 1) * x) * y. x * (K(x \ 1,x) * (x \ y)) = K(x \ 1,x) * y. x * (K(x \ 1,x) * y) = K(x \ 1,x) * (x * y). K(x \ 1,x) * (x * y) = x * (K(x \ 1,x) * y). x * (K(x \ 1,x) * T(y,x)) = K(x \ 1,x) * (y * x). (x \ 1) * (K(x,x \ 1) * ((x \ 1) \ y)) = K((x \ 1) \ 1,x \ 1) * y. x * (K(x \ 1,x) * y) != K(x \ 1,x) * z | x * y = z. K(x \ 1,x) * y != x * (K(x \ 1,x) * z) | x * z = y. x * (K(x \ 1,x) * (x \ y)) != z | K(x \ 1,x) * y = z. (K(x \ 1,x) * y) \ (x * (K(x \ 1,x) * y)) = L(T(x,y),y,K(x \ 1,x)). x != (y * z) * T((y * z) \ z,u) | x = (y * T(y \ 1,u)) * z. x * (y * T(y \ (x \ y),z)) = (x * T(x \ 1,z)) * y. (x * y) * T(y \ (x \ 1),z) = x * (y * T(y \ (x \ 1),z)). x * ((y \ (x \ y)) * y) = (x * T(x \ 1,y)) * y. (x * T(x \ 1,y)) * y = x * ((y \ (x \ y)) * y). x * T(y * T(y \ 1,x),x) = y * ((x \ (y \ x)) * x). (x * ((y \ (x \ y)) * y)) / y = x * T(x \ 1,y). (x * ((x \ 1) * R(x,y,z))) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). (x * y) * T(y,z) = (T((x * y) / x,z) * x) * y. (T((x * y) / x,z) * x) * y = (x * y) * T(y,z). (x * T(y,z)) * y = (x * y) * T(y,z). (x * y) / T(y,z) = (x / T(y,z)) * y. x / T(x,y) = (1 / T(x,y)) * x. (1 / T(x,y)) * x = x / T(x,y). x != y * T(z,y) | x = z * y. (x * T(y,x * y)) * y = y * (x * y). ((x / y) * T(y,z)) * y = x * T(y,z). (x * T(y,z)) \ ((x * y) * T(y,z)) = y. x * y != ((z / u) * u) * w | (z * w) / y = x. (x * T(y,z)) / y = (x / y) * T(y,z). x * y != (((z / u) / w) * w) * u | z / y = x. x / y = ((x / T(y,z)) / y) * T(y,z). ((x / T(y,z)) / y) * T(y,z) = x / y. (x * T(y,z)) * y != u * T(y,z) | x * y = u. (x * (y \ z)) * (z / y) = (x * (z / y)) * T(z / y,y). (x * (y / z)) * T(y / z,z) = (x * (z \ y)) * (y / z). (1 / T(x,y)) \ (x / T(x,y)) = x. (1 / T(x,y)) * x != z | z = x / T(x,y). (1 / T(x,y)) * x != z | x / T(x,y) = z. (1 / T(x,y)) \ (T(x,z) / T(x,y)) = T(x,z). x * (1 / T(x,y)) = T(x,1 / T(x,y)) / T(x,y). T(x,1 / T(x,y)) / T(x,y) = x * (1 / T(x,y)). x * y != (z * x) / T(x,u) | T(z / T(x,u),x) = y. (x * y) / T(y,z) != y * u | T(x / T(y,z),y) = u. x * y != z * T(u,z) | (u * z) / y = x. (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 * y != (z / u) * T(u,z) | ((u * z) / u) / y = x. ((x * y) / x) / T(y / x,T(x,y)) = T(x,y). (x * y) * T(L(y \ 1,y,x),x) = (L(y \ 1,y,x) * x) / L(y \ 1,y,x). (L(x \ 1,x,y) * y) / L(x \ 1,x,y) = (y * x) * T(L(x \ 1,x,y),y). (x * (1 / y)) * T(L(y,1 / y,x),x) = (L(y,1 / y,x) * x) / L(y,1 / y,x). (L(x,1 / x,y) * y) / L(x,1 / x,y) = (y * (1 / x)) * T(L(x,1 / x,y),y). T(x,y * x) = y \ ((x * (y * x)) / x). x \ ((y * (x * y)) / y) = T(y,x * y). T(x,y) = R(T(x,y * T(x,z)),y,T(x,z)). R(T(x,y * T(x,z)),y,T(x,z)) = T(x,y). R(T(x,L(x,y,x) * y),y,T(x,x * y)) = T(x,y). (1 / T(x,y)) * T(x,z) = T(x,z) / T(x,y). (T(x,y) / T(x,z)) / T(x,y) = 1 / T(x,z). 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)). 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 / z)) * (z \ y) = (x * (z \ y)) * (y / z). (x * ((y * z) / y)) * z = (x * (y \ (y * z))) * ((y * z) / y). (x * (y \ (y * z))) * ((y * z) / y) = (x * ((y * z) / y)) * z. (x * (y \ z)) / (z / y) = (x / (z / y)) * (y \ z). x / (y / z) = ((x / (z \ y)) / (y / z)) * (z \ y). ((x / (y \ z)) / (z / y)) * (y \ z) = x / (z / y). K(T(1 / T(x,y),T(x,z)),T(x,z)) / T(x,y) = T(1 / T(x,y),T(x,z)). L(x,y,z) * (x * u) = x * (u * T(L(x,y,z),u)). x * (y * T(L(x,z,u),y)) = 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 \ y = L(x,z,u) * (x \ (L(x,z,u) \ y)). L(x,y,z) * (x \ (L(x,y,z) \ u)) = x \ u. L(x,y,z) * u = x * (L(x,y,z) * (x \ u)). x * (L(x,y,z) * (x \ u)) = L(x,y,z) * u. L(x,y,z) \ (x * (L(x,y,z) * u)) = x * u. 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. (L(x,y,z) * u) * w != L(x,y,z) * (x * u) | T(x,L(x,y,z) * u) = w. T(x,L(x,y,z) * (x \ u)) = (L(x,y,z) * (x \ u)) \ (L(x,y,z) * u). (L(x,y,z) * (x \ u)) \ (L(x,y,z) * u) = T(x,L(x,y,z) * (x \ u)). 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). x \ (L(x,y,z) \ x) = L(x,y,z) \ 1. (1 / x) * (L(x,y,z) \ x) = L(L(x,y,z) \ 1,x,1 / x). L(L(x,y,z) \ 1,x,1 / x) = (1 / x) * (L(x,y,z) \ x). x \ (L(x,y,z) * (u * x)) = L(x,y,z) * T(u,x). L(x,y,z) \ (x \ u) = x \ (L(x,y,z) \ u). x * y != z \ (u * z) | x \ T(u,z) = y. L(x,y,z) \ T(u,x) = x \ (L(x,y,z) \ (u * x)). x \ (L(x,y,z) \ (u * x)) = L(x,y,z) \ T(u,x). L((x * y) / y,y,L(x,z,u)) = T((y * x) / y,L(x,z,u) * y). T((x * y) / x,L(y,z,u) * x) = L((y * x) / x,x,L(y,z,u)). x \ (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 \ (y * T(y \ x,z)) = (x \ y) * T((x \ y) \ 1,z). (x \ y) * T((x \ y) \ 1,z) = x \ (y * T(y \ x,z)). x * K((x \ y) \ 1,x \ y) = y * T(y \ x,x \ y). x * T(x \ y,y \ x) = y * K((y \ x) \ 1,y \ x). x * K(y \ (y / (x \ z)),y) = z * T(z \ x,y). x * T(x \ y,z) = y * K(z \ (z / (y \ x)),z). T(x * y,z) / y = x * K(z \ (z / (x \ (1 / y))),z). x \ (y * T(y \ x,z)) = K(z \ (z / (x \ y)),z). K(x \ (x / (y \ z)),x) = y \ (z * T(z \ y,x)). x != (y \ 1) * T((y \ 1) \ (y \ z),u) | x = y \ T(z,u). (x \ y) * K(z \ (z / ((x \ y) \ (x \ 1))),z) = x \ T(y,z). x * 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 * 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 * T(y,(x * y) \ x) = (x * y) * K(((x * y) \ x) \ 1,(x * y) \ x). (x * y) * K(((x * y) \ x) \ 1,(x * y) \ x) = x * T(y,(x * y) \ x). T(x,y) / z = (x / z) * K(y \ (y / ((x / z) \ (1 / z))),y). (x / y) * K(z \ (z / ((x / y) \ (1 / y))),z) = T(x,z) / y. K(x \ (x / (x \ (x / y))),x) = x \ ((y * x) / y). (T(x / (y / z),u) * (y / z)) * z = y * T(y \ (x * z),u). 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) * 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 * K(x / y,y)) = (y * (x / y)) \ y. x != y * ((z * u) \ z) | x = y * L(u \ 1,u,z). x * K(y,x) = (y * x) * L(y \ 1,y,x). (x * y) * L(x \ 1,x,y) = y * K(x,y). x * (((y * x) / y) * z) = ((y * x) / y) * (x * z). ((x * y) / x) * (y * z) = y * (((x * y) / x) * z). x \ (((y * x) / y) * z) = ((y * x) / y) * (x \ z). ((x * y) / x) \ (y * z) = y * (((x * y) / x) \ z). ((x * y) / x) \ y = y * (((x * y) / x) \ 1). x * (((y * x) / y) \ 1) = ((y * x) / y) \ x. T(x,y) * (T(z / (z / x),y) \ 1) = (((z / x) * T(x,y)) / (z / x)) \ T(x,y). (((x / y) * T(y,z)) / (x / y)) \ T(y,z) = T(y,z) * (T(x / (x / y),z) \ 1). L(x,((y * z) / y) \ z,(y * z) / y) = ((y * z) / y) * (z \ ((((y * z) / y) \ z) * x)). ((x * y) / x) * (y \ ((((x * y) / x) \ y) * z)) = L(z,((x * y) / x) \ y,(x * y) / x). x * L(x \ (y \ x),z,u) = (L(1 / y,z,u) * y) * (y \ x). (L(1 / x,y,z) * x) * (x \ u) = u * L(u \ (x \ u),y,z). (1 / x) \ ((y * (1 / x)) / y) = x * ((y * (x \ 1)) / y). T(x,x / (y \ 1)) = y \ ((x * (y * x)) / x). x \ ((y * (x * y)) / y) = T(y,y / (x \ 1)). x != y \ ((z * (y * z)) / z) | x = T(z,y * z). T(x,x / (y \ 1)) = T(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) \ z)) / y) = ((y * (z * 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). x != (y * z) * T((y * z) \ u,w) | x = y * (z * T(z \ (y \ u),w)). (T(x / y,z) * y) * u = y * (u * T(u \ (y \ (x * u)),z)). x * (y * T(y \ (x \ (z * y)),u)) = (T(z / x,u) * x) * y. (x * y) * T((x * y) \ (z * y),u) = (x * T(x \ z,u)) * y. (x * y) * R((x * y) \ y,z,u) = (x * R(x \ 1,z,u)) * y. R(x,y,T(y \ (x \ 1),z)) = x. R(x,y,y \ (x \ 1)) = x. R(x,y,z) * (u * (u \ (x \ 1))) = (R(x,y,z) * u) * (u \ (x \ 1)). (R(x,y,z) * u) * (u \ (x \ 1)) = R(x,y,z) * (u * (u \ (x \ 1))). (x * y) * ((z * y) / z) = (x * ((z * y) / z)) * y. (x * ((y * z) / y)) * z = (x * z) * ((y * z) / y). (x * y) / ((z * y) / z) = (x / ((z * y) / z)) * y. x * y != ((1 / z) * z) * u | u / y = x. ((x * y) / x) / y = (1 / y) * ((x * y) / x). (1 / x) * ((y * x) / y) = ((y * x) / y) / x. ((x * (y \ 1)) / x) / (y \ 1) = y * ((x * (y \ 1)) / 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. T(x,x / (x / T(y,x))) * T(y,x) = x * y. ((x * y) / x) / (x \ y) = T(x,x / (x / y)). 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 != ((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 * 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. R(((x * (x * y)) / x) / y,y,x) = (x / T(y,x)) * y. R(T(x,x / (1 / y)),y,x) = (x / T(y,x)) * y. x \ (y * T(y \ z,u)) = (x \ y) * T((x \ y) \ (x \ z),u). (x \ y) * T((x \ y) \ (x \ z),u) = x \ (y * T(y \ z,u)). ((x / y) * T((x / y) \ z,u)) * y = x * T(x \ (z * y),u). (x * L(x \ 1,y,z)) * (x \ u) = u * L(u \ (x \ u),y,z). (1 / x) * ((y * ((1 / x) \ 1)) / y) = ((y * x) / y) / x. x * (y * T(y \ (x \ (z * y)),u)) = (x * T(x \ z,u)) * y. ((x * y) * T((x * y) \ x,z)) * y = (x * y) * (y * T(y \ 1,z)). x * y != (z * x) * T((z * x) \ (u * x),w) | T(z * T(z \ u,w),x) = y. T(x * T(x \ y,z),x) = x * T(x \ (x \ (y * x)),z). x * T(x \ (x \ (y * x)),z) = T(x * T(x \ y,z),x). x * T(x \ T(y,x),z) = T(x * T(x \ y,z),x). T(x * T(x \ y,z),x) = x * T(x \ T(y,x),z). x * y != 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 * T(y / x,z),x) = T(T(y,x) / x,z). x != y \ T(y * T((y * z) / y,u),y) | x = T(y * T(z,u),y) / y. T(T(x * y,x) / x,z) = T(x * T(y,z),x) / x. T(x * T(y,z),x) / x = T(T(x * y,x) / x,z). x * T(T(y,x) / x,z) = T(x * T(y / x,z),x). T(x * T(y / x,z),x) = x * T(T(y,x) / x,z). T(x * T(1 / x,y),x) = x * T(1 / x,y). (x * R(x \ 1,y,z)) * u != (w * x) * R((w * x) \ w,y,z) | T(w,x * R(x \ 1,y,z)) = u. T(x,x * R(x \ 1,y,z)) = x. 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 \ R(x,y,z),x \ 1) = x \ R(x,y,z). (R(x,y,z) * (1 / x)) / R(x,y,z) = L(1 / x,R(x,y,z),1 / x). R(x \ 1,R(x,y,z),x \ 1) = T(x \ 1,R(x,y,z)). T(x \ 1,R(x,y,z)) \ T((x \ 1) * R(x,y,z),x \ 1) = T(R(x,y,z),x \ 1). T(x,y) * T((y \ (x * y)) \ (y \ z),u) = y \ ((x * y) * T((x * y) \ z,u)). x * y != (z * u) * T((z * u) \ w,v5) | (z * (u * T(u \ (z \ w),v5))) / y = x. (x * (y * T(y \ (x \ (z * u)),w))) / u = ((x * y) / u) * T(((x * y) / u) \ z,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((x / y) \ 1,z)) * y = x * T(x \ y,z). (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. K((x / y) \ 1,x / y) * y = x * T(x \ y,x / y). K(x \ (x / (y / z)),x) * z = y * T(y \ z,x). (x * T(x \ y,z)) / y = K(z \ (z / (x / y)),z). K(x \ (x / (y / z)),x) = (y * T(y \ z,x)) / z. x * y != (z * u) * T((z * u) \ z,w) | (z * (u * T(u \ 1,w))) / y = x. (x * (y * T(y \ 1,z))) / x = K(z \ (z / ((x * y) / x)),z). K(x \ (x / ((y * z) / y)),x) = (y * (z * T(z \ 1,x))) / y. K(x \ (x / R(y,z,u)),x) = (((y * z) * u) * T(((y * z) * u) \ (z * u),x)) / (z * u). K(x \ (x / ((y \ x) / T(x,y))),x) = ((y \ x) * ((y \ x) \ x)) / T(x,y). x != 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. x != y * ((1 / y) * T(z,y)) | x = T(y * ((1 / y) * z),y). (x * T(x \ y,x)) * (1 / x) = T(x * ((1 / x) * ((1 / x) \ (x \ (y * (1 / x))))),x). T(x * ((1 / x) * ((1 / x) \ (x \ (y * (1 / x))))),x) = (x * T(x \ y,x)) * (1 / x). x * ((y \ z) * T((y \ z) \ (x \ z),u)) = (x * T(x \ y,u)) * (y \ z). 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)). K(x \ (x / ((y * x) / y)),x) = (y * K(x \ 1,x)) / y. x * y != K(z \ (z / ((u * z) / u)),z) | x \ ((u * K(z \ 1,z)) / u) = y. ((x * y) / x) \ ((x * K(y \ 1,y)) / x) = T(((x * y) / x) \ 1,y). x \ (y * (x * T(x \ (y \ z),u))) != w | T(y * T(y \ (z / x),u),x) = w. (x \ T(x * (y / z),u)) * z = (x \ 1) * (z * T(z \ ((x \ 1) \ y),u)). (x \ 1) * (y * T(y \ ((x \ 1) \ z),u)) = (x \ T(x * (z / y),u)) * y. ((x / y) * K(y \ 1,y)) * y = x * (y * T(y \ (x \ x),y)). ((x / y) * K(y \ 1,y)) * y = x * (y * T(y \ 1,y)). ((x / y) * K(y \ 1,y)) * y = x * ((y \ 1) * y). ((x / y) * K(y \ 1,y)) * y = x * K(y \ 1,y). x * y != R(z,u,y) * (u * y) | x = z * u. (R(x,y \ 1,y) / y) * K(y \ 1,y) = x * (y \ 1). (x * K(y \ 1,y)) * y = (x * y) * K(y \ 1,y). (L(1 / x,x,y) * K(x \ 1,x)) * x = (x * ((y * x) \ y)) * K(x \ 1,x). x * y = ((x / K(y \ 1,y)) * y) * K(y \ 1,y). ((x / K(y \ 1,y)) * y) * K(y \ 1,y) = x * y. x * K(y \ 1,y) != (z * (y \ 1)) * y | x = R(z,y \ 1,y). ((x * (y \ 1)) / K(y \ 1,y)) * y = R(x,y \ 1,y). (x * (y \ 1)) / K(y \ 1,y) != z | z = R(x,y \ 1,y) / y. (x * (y \ 1)) / K(y \ 1,y) != z | R(x,y \ 1,y) / y = z. x != ((1 / y) * z) \ ((1 / u) * w) | x = (z \ y) / (w \ u). a(1 / (x * y),x,z) = ((x * z) \ (x * y)) / (z \ y). ((x * y) \ (x * z)) / (y \ z) = a(1 / (x * z),x,y). ((x * y) \ z) / (y \ (x \ z)) = a(1 / (x * (x \ z)),x,y). a(1 / (x * (x \ y)),x,z) = ((x * z) \ y) / (z \ (x \ y)). x * ((y * (x \ (z * u))) / y) = z * ((z \ x) * ((y * ((z \ x) \ u)) / y)). x * ((x \ y) * ((z * ((x \ y) \ u)) / z)) = y * ((z * (y \ (x * u))) / z). (x * y) * L((x * y) \ (y * z),u,w) = y * (T(x,y) * L(T(x,y) \ z,u,w)). ((x \ y) * (y \ x)) \ (y \ x) = (x \ y) \ 1. (x \ y) / ((y \ x) \ 1) = (y \ x) * (x \ y). (1 / (x \ y)) \ (y \ x) = (y \ x) * (x \ y). (1 / ((x * y) \ x)) \ y = (x \ (x * y)) * ((x * y) \ x). (x \ (x * y)) * ((x * y) \ x) = (1 / ((x * y) \ x)) \ y. (1 / (x \ y)) * ((y \ x) * (x \ y)) = y \ x. ((x \ y) * (y \ x)) * z != x \ y | T(1 / (y \ x),(x \ y) * (y \ x)) = z. T(1 / (x \ y),(y \ x) * (x \ y)) = ((y \ x) * (x \ y)) \ (y \ x). x * ((y * x) \ y) = (1 / ((y * x) \ y)) \ x. (1 / ((x * y) \ x)) \ y = y * ((x * y) \ x). (1 / ((x * y) \ x)) * (y * ((x * y) \ x)) = y. x != (y / z) * R((y / z) \ 1,y / z,z) | x = (z / y) * (y / z). (1 / (x / y)) \ (y / x) = (y / x) * (x / y). (x / y) * (y / x) = (y / x) / ((x / y) \ 1). (x / y) / ((y / x) \ 1) = (y / x) * (x / y). (1 / (x / y)) * ((y / x) * (x / y)) = y / x. (1 / ((x \ y) / y)) \ x = (y / (x \ y)) * ((x \ y) / y). (x / (y \ x)) * ((y \ x) / x) = (1 / ((y \ x) / x)) \ y. ((x / y) * (y / x)) * ((x / y) \ 1) = y / x. ((x / y) * (y / x)) * z != x / y | T(1 / (y / x),(x / y) * (y / x)) = z. T(1 / (x / y),(y / x) * (x / y)) = ((y / x) * (x / y)) \ (y / x). x * ((x \ y) / y) = (1 / ((x \ y) / y)) \ x. (1 / ((x \ y) / y)) \ x = x * ((x \ y) / y). x * ((x \ y) / y) = ((x \ y) / y) / (x \ 1). ((x \ y) / y) / (x \ 1) = x * ((x \ y) / y). (x * ((x \ y) / y)) * (x \ 1) = (x \ y) / y. x != (y \ z) / z | x = R(1 / y,y,y \ z). (x * ((x \ y) / y)) * (x \ 1) = R(1 / x,x,x \ y). 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). T((x * y) / x,L(y,z,u) * x) = L(y,x,L(y,z,u)). L(x,y,L(x,z,u)) * y = y * T(x,L(x,z,u) * y). x * T(y,L(y,z,u) * x) = L(y,x,L(y,z,u)) * x. x * y != L(z,u,w) * x | y = L(T(z,x),u,w). T(x,L(x,y,z) * u) = L(T(x,u),u,L(x,y,z)). L(T(x,y),y,L(x,z,u)) = T(x,L(x,z,u) * y). T(x \ (1 \ (y * z)),z \ (y \ 1)) = (z \ (y \ 1)) \ (x \ 1). T(x \ (y * z),z \ (y \ 1)) = (z \ (y \ 1)) \ (x \ 1). R((x * y) / (x * z),u,w) * (x * z) = x * (z * R(z \ y,u,w)). x != (y * z) * R((y * z) \ z,u,w) | x = (y * R(y \ 1,u,w)) * z. x * (y * R(y \ (x \ y),z,u)) = (x * R(x \ 1,z,u)) * y. (x * y) * L(y,z,u) = (L((x * y) / x,z,u) * x) * y. (L((x * y) / x,z,u) * x) * y = (x * y) * L(y,z,u). (x * y) * L((x * y) \ (z * y),u,w) = (L(z / x,u,w) * x) * y. (x * L(y,z,u)) * y = (x * y) * L(y,z,u). (x * y) / L(y,z,u) = (x / L(y,z,u)) * y. ((x / 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 = ((1 / L(x,y,z)) * x) * L(x,y,z). ((1 / L(x,y,z)) * x) * L(x,y,z) = x. (x * L(y,z,u)) / y = (x / y) * L(y,z,u). ((x / y) * L(y,z,u)) \ (x * L(y,z,u)) = y. ((x * y) * L(y,z,u)) \ (y * (x * L(y,z,u))) != w | K(y,x * L(y,z,u)) = w. (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)) / z = ((x * y) / z) * L(z,y,x). ((x * y) / z) * L(z,y,x) = (x * (y * z)) / z. ((x * y) / z) \ ((x * (y * z)) / z) = L(z,y,x). L(x,y,z) = ((z * y) / x) \ ((z * (y * x)) / x). L(x,y,z) * u != (z * (y * x)) / x | T((z * y) / x,L(x,y,z)) = u. (x * (y * z)) / z != L(z,y,x) * u | T((x * y) / z,L(z,y,x)) = u. L(x,y / x,z) = ((z * (y / x)) / x) \ ((z * y) / x). ((x * (y / z)) / z) \ ((x * y) / z) = L(z,y / z,x). (L((x / y) / z,u,w) * z) * y = (z * y) * L((z * y) \ x,u,w). (x * y) * R((x * y) \ (z * y),u,w) = (R(z / x,u,w) * x) * y. 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 * (z \ u)) / u) | x \ T(u,u / z) = y. x \ T(x,x / (x * y)) = y * ((x * (y \ 1)) / x). (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 \ T(z,z / (z * u)) | (u * ((z * (u \ 1)) / z)) / y = x. (x * ((y * (x \ 1)) / y)) / (y \ 1) = T(y,y / (y * x)). (x * ((x \ R(x,y,z)) / R(x,y,z))) / (R(x,y,z) \ 1) = T(R(x,y,z),R(x,y,z) / (R(x,y,z) * x)). (x * y) * ((z * ((x * y) \ y)) / z) = (((z * (1 / x)) / z) * x) * y. ((x * ((y * z) / (R(u,y,z) * (y * z)))) / x) * ((u * y) * z) = (((x * (1 / R(u,y,z))) / x) * R(u,y,z)) * (y * z). (((x * y) / x) * (y \ 1)) * x = T(x,R(y,y \ 1,x)). (x \ ((y * x) / y)) * y = T(y,R(x,x \ 1,y)). T(x,R(y,y \ 1,x)) / x = y \ ((x * y) / x). (T(x,y) \ x) * y = T(y,R(T(x,y),T(x,y) \ 1,y)). T(x,R(T(y,x),T(y,x) \ 1,x)) = (T(y,x) \ y) * x. T(x,R(y,y \ 1,x)) / x != z | z = y \ ((x * y) / x). T(x,R(y,y \ 1,x)) / x != z | y \ ((x * y) / x) = z. 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. 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)). (x \ T(x,x / (x * y))) * x = T(x,R(1 / y,y,x)). T(x,R(1 / y,y,x)) = (x \ T(x,x / (x * y))) * x. x != y * R(T(z,y),u,w) | x = R(z,u,w) * y. x \ R(x * (y * (x \ 1)),z,u) = R(y,z,u) * (x \ 1). T(x,y) \ R(T(x,y) * (T(x,y) \ x),z,u) = R(x,z,u) * (T(x,y) \ 1). L(x * 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. (L(x,y,z) / x) \ (1 / x) = L(1 / (1 / x),y,z) \ 1. L(1 / (1 / x),y,z) \ 1 = (L(x,y,z) / x) \ (1 / x). x \ (y * 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). (R(1 / (x / y),z,u) * (x / y)) * y = R(y / x,z,u) * x. x != R(y / z,u,w) * z | x = z * R(z \ y,u,w). (R(1 / (x / y),z,u) * (x / y)) * y = x * R(x \ y,z,u). ((x / y) * R((x / y) \ 1,z,u)) * y = x * R(x \ y,z,u). (x * R(x \ y,z,u)) / y = (x / y) * R((x / y) \ 1,z,u). (x / y) * R((x / y) \ 1,z,u) = (x * R(x \ y,z,u)) / y. R(x,y,z) * R((((x * y) * z) / (y * z)) \ 1,u,w) = (((x * y) * z) * R(((x * y) * z) \ (y * z),u,w)) / (y * z). (((x * y) * z) * R(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * R((((x * y) * z) / (y * z)) \ 1,u,w). (((x * (y * z)) / (x * y)) * x) * y = x * (y * R(z,x,y)). (((x * (y * z)) / (x * z)) * x) * z = x * (z * R(T(y,z),x,z)). (((x * (y * z)) / (x * z)) * x) * z = x * (R(y,x,z) * z). (x / y) \ (x * ((z * (x \ (x / y))) / z)) = y * ((z * (y \ 1)) / z). 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). (R(x,y,z) * u) * (u \ (x \ 1)) != w | R(x,y,z) * (x \ 1) = w. (x * (y * T(y \ 1,z))) * y = (x * y) * (y * T(y \ 1,z)). T(x,y / (x * y)) * R(x \ 1,x,y) = T(x * (y / (x * y)),x). T(x,T(1 / x,y)) * T(x \ 1,y) = T(x * T(1 / x,y),x). x != T(y * T(1 / y,z),y) | x = y * T(1 / y,z). T(x,T(1 / x,y)) * T(x \ 1,y) = x * T(1 / x,y). R((x * y) / (x * z),u,w) * (x * z) = x * (R(y / z,u,w) * z). (x * y) * L((x * y) \ (z * y),u,w) = (x * L(x \ z,u,w)) * y. (x * L(x \ (y / z),u,w)) * z = (x * z) * L((x * z) \ y,u,w). (x * y) * R((x * y) \ (z * y),u,w) = (x * R(x \ z,u,w)) * y. (x * y) * ((z * ((x * y) \ y)) / z) = (x * ((z * (x \ 1)) / z)) * y. x \ (y * L(y \ x,z,u)) = (x \ y) * L((x \ y) \ 1,z,u). (x \ y) * L((x \ y) \ 1,z,u) = x \ (y * L(y \ x,z,u)). L(x,y,z) * L(((z * y) \ (z * (y * x))) \ 1,u,w) = (z * y) \ ((z * (y * x)) * L((z * (y * x)) \ (z * y),u,w)). (x * y) \ ((x * (y * z)) * L((x * (y * z)) \ (x * y),u,w)) = L(z,y,x) * L(((x * y) \ (x * (y * z))) \ 1,u,w). x \ (y * 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)). (x / y) \ (x * ((x / y) / x)) = y * ((x * (y \ 1)) / x). K(x,(x / y) / x) = y * ((x * (y \ 1)) / x). x * ((y * (x \ 1)) / y) != z | K(y,(y / x) / y) = z. x != (y \ 1) * ((z * ((y \ 1) \ 1)) / z) | x = y \ ((z * y) / z). K(x,(x / (y \ 1)) / x) = y \ ((x * y) / x). K(x,y / x) = (y \ x) * ((x * ((y \ x) \ 1)) / x). (x \ y) * ((y * ((x \ y) \ 1)) / y) = K(y,x / y). K(T(x,y),1 / x) = x * ((T(x,y) * (x \ 1)) / T(x,y)). x * ((T(x,y) * (x \ 1)) / T(x,y)) = K(T(x,y),1 / x). K(L(x,y,z),1 / x) = x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)). x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = K(L(x,y,z),1 / x). K(T(x,y),1 / T(x,z)) = T(x,z) * ((T(x,y) * (T(x,z) \ 1)) / T(x,y)). T(x,y) * ((T(x,z) * (T(x,y) \ 1)) / T(x,z)) = K(T(x,z),1 / T(x,y)). x * K(x,(x / y) / x) = T(x,x / (x * y)). K(x,(x / ((T(x,y) \ 1) \ 1)) / x) = (T(x,y) \ 1) \ ((T(x,y) \ x) / x). K(R(x,y,z),(R(x,y,z) / ((x \ 1) \ 1)) / R(x,y,z)) = (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)). x * K(x,y / x) = T(x,x / (x * (y \ x))). T(x,x / (x * (y \ x))) = x * K(x,y / x). T(x,R(y,x,(y * x) \ x)) = x * K(x,(y * x) / x). T(x,R(y,x,(y * x) \ x)) = x * K(x,y). x \ ((x * K(x,y)) * z) = T(x,R(y,x,(y * x) \ x)) * (x \ z). T(x,R(y,x,(y * x) \ x)) * (x \ z) = x \ ((x * K(x,y)) * z). x * (((x \ 1) * T((x \ 1) \ 1,y)) / T(x,y)) = K(T(x,y),1 / x). (x * K(x,y)) * (x \ z) = x \ ((x * K(x,y)) * z). x \ ((x * K(x,y)) * z) = (x * K(x,y)) * (x \ z). x \ (x * K(x,y)) = (x * K(x,y)) * (x \ 1). (x * K(x,y)) * (x \ 1) = x \ (x * K(x,y)). x * y != z \ (z * u) | u / y = x. K(x,y) / (x \ 1) = x * K(x,y). R((x * (y * z)) / (x * z),u,w) * (x * z) = x * (R(y,u,w) * z). x != (y * z) * L((y * z) \ u,w,v5) | x = y * (z * L(z \ (y \ u),w,v5)). (x * L(x \ y,z,u)) * w = x * (w * L(w \ (x \ (y * w)),z,u)). x * (y * L(y \ (x \ (z * y)),u,w)) = (x * L(x \ z,u,w)) * y. x != (y * z) * L((y * z) \ y,u,w) | x = y * (z * L(z \ 1,u,w)). ((x * y) * L((x * y) \ x,z,u)) * y = (x * y) * (y * L(y \ 1,z,u)). x * y != (z * x) * L((z * x) \ (u * x),w,v5) | T(z * L(z \ u,w,v5),x) = y. T(x * L(x \ y,z,u),x) = x * L(x \ (x \ (y * x)),z,u). x * L(x \ (x \ (y * x)),z,u) = T(x * L(x \ y,z,u),x). (x * y) * L((x * y) \ y,z,u) = (x * L(x \ 1,z,u)) * y. (x * T(y,z)) * L(y,u,w) = (x * L(x \ (x * y),u,w)) * T(y,z). (x * L(x \ (x * y),z,u)) * T(y,w) = (x * T(y,w)) * L(y,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. (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 * 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). T(x,x * ((y * x) \ y)) = x. T(x \ y,(x \ y) * (y \ x)) = x \ y. T(1 / x,L(x,y,z) / x) = 1 / x. T(x,x * ((x \ y) / y)) = x. T(T(x,y),T(x,y) * ((T(x,y) / x) \ (1 / x))) = T(x,y). T(x,x * (y / (x * y))) = x. T(x * (y / (x * y)),x) = x * (y / (x * y)). (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. T(x \ (x / y),(x \ (x / y)) * y) = x \ (x / y). (x \ y) * (y \ x) = L(y \ x,x \ y,y \ x) * (x \ y). L(x \ y,y \ x,x \ y) * (y \ x) = (y \ x) * (x \ y). 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 / y)) * y,x \ (x / y)) = (x \ (x / y)) * y. T(T(x,y) * ((T(x,y) / x) \ (1 / x)),T(x,y)) = T(x,y) * ((T(x,y) / x) \ (1 / x)). x * (y \ z) != (y \ z) * (z \ y) | x = L(1 / (y \ z),y \ z,y). L(x \ y,y \ x,x \ y) = L(1 / (y \ x),y \ x,y). 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)) / y = (x / y) * L((x / y) \ 1,z,u). (x / y) * L((x / y) \ 1,z,u) = (x * L(x \ y,z,u)) / y. x * ((x * y) * L((x * y) \ y,z,u)) = (x * L(x \ 1,z,u)) * (x * y). R(x,y,z) * L((((x * y) * z) / (y * z)) \ 1,u,w) = (((x * y) * z) * L(((x * y) * z) \ (y * z),u,w)) / (y * z). (((x * y) * z) * L(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * L((((x * y) * z) / (y * z)) \ 1,u,w). (x * L(x \ (y / z),u,w)) * z = x * (z * L(z \ (x \ 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),y) = (y \ (x * y)) * R((y \ (x * y)) \ y,z,u). (x \ (y * x)) * R((x \ (y * x)) \ x,z,u) = T(y * R(y \ x,z,u),x). T(x * R(x \ y,z,u),x) = x * R(x \ (x \ (y * x)),z,u). x * R(x \ (x \ (y * x)),z,u) = T(x * R(x \ y,z,u),x). x * y != (z * u) * R((z * u) \ (w * u),v5,v6) | x \ ((z * R(z \ w,v5,v6)) * u) = y. x \ ((y * R(y \ x,z,u)) * w) = (x \ (y * w)) * R((x \ (y * w)) \ w,z,u). (x \ (y * z)) * R((x \ (y * z)) \ z,u,w) = x \ ((y * R(y \ x,u,w)) * z). (x * 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 * y = ((x / R(y,z,u)) * y) * R(y,z,u). ((x / R(y,z,u)) * y) * R(y,z,u) = x * y. (x * R(y,z,u)) \ ((x * y) * R(y,z,u)) = y. R(x,y,z) / x = (1 / x) * R(x,y,z). (1 / x) * R(x,y,z) = R(x,y,z) / x. R(1 / (1 / x),y,z) * (1 / x) = R(x,y,z) / x. R(x,y,z) * u != R(x,y,z) / x | T(1 / x,R(x,y,z)) = u. T(1 / x,R(x,y,z)) = R(x,y,z) \ (R(x,y,z) / x). R(x,y,z) \ (R(x,y,z) / x) = T(1 / x,R(x,y,z)). R(x,y,z) / x != R(x,y,z) * u | T(1 / x,R(x,y,z)) = u. L(R(x,y,z) \ u,R(x,y,z),1 / x) = (R(x,y,z) / x) \ ((1 / x) * u). (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. T(x,y) = R(T(x,y * R(x,z,u)),y,R(x,z,u)). R(T(x,y * R(x,z,u)),y,R(x,z,u)) = T(x,y). (x * R(y,z,u)) * T(y,x) = R(y,x,R(y,z,u)) * (x * R(y,z,u)). R(x,y,R(x,z,u)) * (y * R(x,z,u)) = (y * R(x,z,u)) * T(x,y). (x * R(y,z,u)) * T(y,x) = (y * x) * R(y,z,u). (1 / x) * R((1 / x) \ 1,y,z) = R(x,y,z) / x. R(x,y,z) / T(x,x \ 1) = (x \ 1) * R(x,y,z). T(x * y,x) * T(x,y) = (x * y) * R(x,y,T(x,y)). (x * y) * R(x,y,T(x,y)) = T(x * y,x) * T(x,y). (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). R(x,y,z) / ((x \ 1) \ 1) = (x \ 1) * R(x,y,z). 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 * R(x \ T(y,x),z,u) = T(x * R(x \ y,z,u),x). T(x * R(x \ y,z,u),x) = x * R(x \ T(y,x),z,u). x * y != z * R(z \ T(u,z),w,v5) | T(z * R(z \ u,w,v5),z) / y = x. T(x * R(x \ y,z,u),x) / x = R(T(y,x) / x,z,u). x * y != z * R(z \ T(u,z),w,v5) | x \ T(z * R(z \ u,w,v5),z) = y. x \ T(x * R(x \ y,z,u),x) = R(x \ T(y,x),z,u). T(x * R(y,z,u),x) / x = R(T(x * y,x) / x,z,u). R(T(x * y,x) / x,z,u) = T(x * R(y,z,u),x) / x. 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) / 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). R(T(x,y),z,u) * (x * w) = x * (R(T(x,y),z,u) * w). x \ R(T(x,y),z,u) = R(T(x,y),z,u) * (x \ 1). R(T(x,y),z,u) * (x \ 1) = x \ R(T(x,y),z,u). R(T(x,y),z,u) \ (x * w) = x * (R(T(x,y),z,u) \ w). (x * L(y,z,u)) * T(y,w) = (x * T(y,w)) * L(y,z,u). (x * T(y,z)) * L(y,u,w) = (x * L(y,u,w)) * T(y,z). (x * y) * L(x,z,u) = (y * L(x,z,u)) * T(x,y). (x * L(y,z,u)) * T(y,x) = (y * x) * L(y,z,u). (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. R(x,y,z) * (z * R(z \ (y * z),u,w)) = (R(x,y,z) * R(R(x,y,z) \ (x * y),u,w)) * z. (x / y) * 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). (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)). x != y \ (L(y,z,u) * (w * y)) | x = L(y,z,u) * T(w,y). T(x * L(T(y,x * y),z,u),y) = L(y,z,u) * T(x,y). x != (y * (z * u)) \ ((y * z) * u) | x = a(y,z,u). L(L(x,y,z) \ x,L(x,y,z),z * y) = a(z,y,x). a(x,y,z) = L(L(z,y,x) \ z,L(z,y,x),x * y). ((x * (y * (z \ 1))) / x) / (z \ 1) = z * ((x * (z \ y)) / x). ((x * y) / x) / ((y \ 1) \ 1) = (y \ 1) * ((x * ((y \ 1) \ K(y \ 1,y))) / x). (x \ 1) * ((y * ((x \ 1) \ K(x \ 1,x))) / y) = ((y * x) / y) / ((x \ 1) \ 1). T(T(R(x,y,y \ 1),x * y) / (y \ 1),R(x,y,y \ 1)) = x * y. T(T(x,x * y) * y,R(x,y,y \ 1)) = x * y. T(x * y,z) = T(T(T(x,x * y) * y,z),R(x,y,y \ 1)). T(T(T(x,x * y) * y,z),R(x,y,y \ 1)) = T(x * y,z). T(x * y,R(x,y,y \ 1)) = T(x * y,T(x,y)). T(x,R(x / y,y,y \ 1)) = T((x / y) * y,T(x / y,y)). T((x / y) * y,T(x / y,y)) = T(x,R(x / y,y,y \ 1)). T((x / y) * y,T(x / y,y)) = T(x,x * (y \ 1)). T(x,T(x / y,y)) = T(x,x * (y \ 1)). T(x,y \ x) = T(x,x * (y \ 1)). T(x,x * (y \ 1)) = T(x,y \ x). T(x,x * y) = T(x,(1 / y) \ x). T(x,(1 / y) \ x) = T(x,x * y). L(R(x,y,z),x \ 1,x) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). (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))). (x \ y) \ K(T(x / y,T(y,x)),T(y,x)) = T((x \ y) \ 1,T(y,x)). (x \ y) * T((x \ y) \ 1,T(y,x)) = K(T(x / y,T(y,x)),T(y,x)). x != (y \ z) * T((y \ z) \ 1,u) | x = y \ (z * T(z \ y,u)). K(T(x / y,T(y,x)),T(y,x)) = x \ (y * T(y \ x,T(y,x))). T(L(1 / x,R(x,y,z),1 / x),x) = (x \ R(x,y,z)) / R(x,y,z). x != T(L(y / z,u,w),z) | x = L(z \ y,u,w). (x \ R(x,y,z)) / R(x,y,z) = L(x \ 1,R(x,y,z),1 / x). L(x \ 1,R(x,y,z),1 / x) = (x \ R(x,y,z)) / R(x,y,z). x \ (y * ((x \ y) \ z)) = ((y * ((x \ y) \ z)) / z) * (x \ z). ((x * ((y \ x) \ z)) / z) * (y \ z) = y \ (x * ((y \ x) \ z)). x != (y * z) * ((u * ((y * z) \ z)) / u) | x = (y * ((u * (y \ 1)) / u)) * z. x * ((x * y) * ((z * ((x * y) \ y)) / z)) = (x * ((z * (x \ 1)) / z)) * (x * y). T(x * T(x \ y,z),y) = T(x,y) * T(T(x,y) \ y,z). T(x,y) * T(T(x,y) \ y,z) = T(x * T(x \ y,z),y). (x * y) * T(K(y,x),z) = y * (T(x,y) * T(T(x,y) \ x,z)). x * (T(y,x) * T(T(y,x) \ y,z)) = (y * x) * T(K(x,y),z). x * L(y,T(y,x) \ y,T(y,x)) = (y * x) * T(K(x,y),y). (x \ 1) * (K(x,x \ 1) * ((x \ 1) \ y)) = K(x,x \ 1) * y. (x \ 1) \ (K(x,x \ 1) * y) = K(x,x \ 1) * ((x \ 1) \ y). K(((x \ y) * (y \ x)) \ (x \ y),(x \ y) * (y \ x)) = y \ (x * (x \ y)). K(x \ (x / ((y \ x) / T(x,y))),x) = x / T(x,y). (x \ 1) * ((y \ ((x \ 1) \ z)) * y) = (x \ T(x * (z / y),y)) * y. (x \ T(x * (y / z),z)) * z = (x \ 1) * ((z \ ((x \ 1) \ y)) * z). T((x \ (x * (y / x))) * x,x) = (x \ 1) * ((x \ ((x \ 1) \ y)) * x). T(x,y) = (y \ 1) * ((y \ ((y \ 1) \ x)) * y). T((x \ 1) * y,x) = (x \ 1) * ((x \ y) * x). (x \ 1) * ((x \ y) * x) = T((x \ 1) * y,x). (x \ 1) * (y * x) = T((x \ 1) * (x * y),x). T((x \ 1) * (x * y),x) = (x \ 1) * (y * x). (x \ 1) * (K(y \ x,y) * x) = T((x \ 1) * ((y \ x) * y),x). T((x \ 1) * ((y \ x) * y),x) = (x \ 1) * (K(y \ x,y) * x). ((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 != y * ((y \ 1) * z) | x = L(z,y \ 1,y). ((x \ 1) * (x * y)) * x = L(y * x,x \ 1,x). x \ (y * ((z * (y \ (x * u))) / z)) = (x \ y) * ((z * ((x \ y) \ u)) / z). x * ((x \ y) * ((z * ((x \ y) \ 1)) / z)) = y * ((z * (y \ x)) / z). x \ (y * ((z * (y \ x)) / z)) = (x \ y) * ((z * ((x \ y) \ 1)) / z). (x \ y) * ((z * ((x \ y) \ 1)) / z) = x \ (y * ((z * (y \ x)) / z)). x * K(y,(y / (x \ z)) / y) = z * ((y * (z \ x)) / y). x * K(y,(y / T(z,x)) / y) = (z * x) * ((y * ((z * x) \ x)) / y). (x * y) * ((z * ((x * y) \ y)) / z) = y * K(z,(z / T(x,y)) / z). x * y != (z * x) * ((u * ((z * x) \ x)) / u) | T(z * ((u * (z \ 1)) / u),x) = y. T(x * ((y * (x \ 1)) / y),z) = K(y,(y / T(x,z)) / y). x != K(y,(y / z) / y) | x = z * ((y * (z \ 1)) / y). T(x * ((y * (x \ 1)) / y),z) = T(x,z) * ((y * (T(x,z) \ 1)) / y). T(x,y) * ((z * (T(x,y) \ 1)) / z) = T(x * ((z * (x \ 1)) / z),y). T(K(x,y / x),z) = K(x,(x / T(y \ x,z)) / x). K(x,(x / T(y \ x,z)) / x) = T(K(x,y / x),z). K(x,(x / (y \ x)) / x) = T(K(x,y / x),K(y / x,z)). T(K(x,y / x),K(y / x,z)) = K(x,(x / (y \ x)) / x). T(K(x,y / x),K(y / x,z)) = K(x,y / x). T(K(x,y),K((y * x) / x,z)) = K(x,(y * x) / x). T(K(x,y),K(y,z)) = K(x,(y * x) / x). T(K(x,y),K(y,z)) = K(x,y). K(K(x,y),K(y,z)) = 1. T(K(x,y),K(z,x)) = K(x,y). K(x,y) * K(z,x) = K(z,x) * K(x,y). K(x,y) * K(z,x) != u | K(z,x) * K(x,y) = u. K(x,y) * T(K(z,x),u) = T(K(z,x),u) * K(x,y). T(K(x,y),z) * K(y,u) = K(y,u) * T(K(x,y),z). 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). K(x,y) * R(K(z,x),u,w) = R(K(z,x),u,w) * K(x,y). R(K(x,y),z,u) * K(y,w) = K(y,w) * R(K(x,y),z,u). K(x,y) * K(y,z) != u | K(y,z) * K(x,y) = u. K(x,y) * L(K(y,z),u,w) = L(K(y,z),u,w) * K(x,y). L(K(x,y),z,u) * K(w,x) = K(w,x) * L(K(x,y),z,u). K(x,y) * R(K(y,z),u,w) = R(K(y,z),u,w) * K(x,y). R(K(x,y),z,u) * K(w,x) = K(w,x) * R(K(x,y),z,u). K(x,y) * L(K(y,z),u,w) != v5 | L(K(y,z),u,w) * K(x,y) = v5. K(x,y) * R(K(y,z),u,w) != v5 | R(K(y,z),u,w) * K(x,y) = v5. 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) \ R(x,z,u) = R(x,z,u) * (T(x,y) \ 1). R(x,y,z) * (T(x,u) \ 1) = T(x,u) \ R(x,y,z). T(x,y) * ((T(x,y) \ T(x,z)) / T(x,z)) = K(T(x,z),1 / T(x,y)). (x * (y * L(y \ 1,z,u))) * y = (x * y) * (y * L(y \ 1,z,u)). (x * (y * (1 / y))) * y = (x * y) * (y * L(y \ 1,y,1 / y)). (x * y) * (y * L(y \ 1,y,1 / y)) = (x * (y * (1 / y))) * y. (x * y) * (y * (1 / y)) = (x * (y * (1 / y))) * y. (x * (y * (1 / y))) * y = (x * y) * (y * (1 / y)). x * ((x * L(x \ 1,y,z)) * u) = (x * L(x \ 1,y,z)) * (x * u). (x * L(x \ 1,y,z)) * (x * u) = x * ((x * L(x \ 1,y,z)) * u). (x \ L(x,y,z)) * ((x \ 1) * u) = (x \ 1) * (((x \ 1) * L((x \ 1) \ 1,y,z)) * u). (x \ 1) * (((x \ 1) * L((x \ 1) \ 1,y,z)) * u) = (x \ L(x,y,z)) * ((x \ 1) * u). T(x,y) * R((y \ (x * y)) \ y,z,u) = T(x * R(x \ y,z,u),y). T(x,y) * R(T(x,y) \ y,z,u) = T(x * R(x \ y,z,u),y). T(x,x * y) * R(T(x,x * y) \ (x * y),z,u) = T(x * R(y,z,u),x * y). 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) * (1 / (x \ y)) = x \ (y * L(y \ x,x \ y,y \ x)). x \ (y * L(y \ x,x \ y,y \ x)) = (x \ y) * (1 / (x \ y)). (((x * y) \ x) * y) \ ((x * y) \ x) = 1 / y. L(x \ 1,x,(y * x) \ y) = 1 / x. (((x * y) \ x) * y) * (1 / y) = (x * y) \ x. ((x * y) \ x) / (1 / y) = ((x * y) \ x) * y. L(x \ 1,x,x \ 1) = 1 / x. L(x \ 1,x,(x \ y) / y) = 1 / x. (x \ 1) / (1 / x) = (x \ 1) * x. (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. K(x \ 1,x) * L(1 / x,y,z) = (x \ 1) * (x * L(x \ 1,y,z)). T(1 / (1 / x),x \ 1) = x. (x \ 1) / (1 / x) = K(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). K(x,x \ 1) = T(x,x \ 1) / x. T(x,x \ 1) / x = K(x,x \ 1). x \ (1 / (1 / x)) = K(x \ 1,x). K(x \ 1,x) * (1 / x) = x \ 1. K(x,x \ 1) * x = T(x,x \ 1). ((x \ 1) \ 1) / x = K(x,x \ 1). x * K(x \ 1,x) = 1 / (1 / x). (x \ 1) * L(y,1 / x,K(x \ 1,x)) = K(x \ 1,x) * ((1 / x) * y). L((1 / x) \ y,1 / x,K(x \ 1,x)) = (x \ 1) \ (K(x \ 1,x) * y). K(x,x \ 1) * x = (x \ 1) \ 1. T(x,x \ 1) * L(y,x,K(x,x \ 1)) = K(x,x \ 1) * (x * y). L(x \ y,x,K(x,x \ 1)) = T(x,x \ 1) \ (K(x,x \ 1) * y). T(x,x \ 1) \ (K(x,x \ 1) * y) = L(x \ y,x,K(x,x \ 1)). T(x,x \ 1) * y != K(x,x \ 1) * (x * z) | L(z,x,K(x,x \ 1)) = y. K(x \ 1,x) * x = 1 / (1 / x). L(x,x \ 1,x) = 1 / (1 / x). L(T(x,y),x \ 1,x) = T(1 / (1 / x),y). R(1 / (1 / x),y,z) = L(R(x,y,z),x \ 1,x). L(R(x,y,z),x \ 1,x) = R(1 / (1 / x),y,z). ((x \ 1) \ 1) / L(y \ x,y,K(x,x \ 1)) = K(x,x \ 1) * y. (1 / (1 / x)) / (x * x) = R(x \ 1,x,x). L(x \ 1,x,y / (x * y)) = 1 / x. (((x \ y) / y) * x) * (1 / x) = (x \ y) / y. x != L(y \ 1,y,z / (y * z)) | x = T(1 / y,(z / (y * z)) * y). 1 / x = T(1 / x,(y / (x * y)) * x). T(1 / x,(y / (x * y)) * x) = 1 / x. L(x \ 1,x,R(1 / x,x,y)) = 1 / x. ((x / (y * x)) * y) * (1 / y) = x / (y * x). T(x,x \ 1) = T(x,1 / x). T(x,1 / x) = T(x,x \ 1). T(x,1 / x) = (x \ 1) \ 1. (x * T(y,y \ 1)) / x = T((x * y) / x,1 / y). T(x,x \ 1) / x = K(x,1 / x). R(R(x,y,z),1 / x,x) = R(T(x,x \ 1),y,z). ((x \ 1) \ 1) / x = K(x,1 / x). L((x \ 1) \ 1,y,z) / x = L(x,y,z) * (1 / x). x != T(y,y \ 1) / y | x = K(y,y \ 1). K(x,1 / x) = K(x,x \ 1). (x \ 1) / (1 / x) = K(1 / x,1 / (1 / x)). K(1 / x,1 / (1 / x)) = (x \ 1) / (1 / x). x * (1 / x) = K(x,x \ 1). K(x,x \ 1) = x * (1 / x). x != K(y,y \ 1) | x = K((y \ 1) \ 1,y \ 1). K(x,1 / x) = K((x \ 1) \ 1,x \ 1). K((x \ 1) \ 1,x \ 1) = K(x,1 / x). x != K(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. (1 / (1 / x)) * K(x,x \ 1) = x. R(x,y,1 / y) * K(y,y \ 1) = (x * y) * (1 / y). x * y != z * (1 / z) | x \ K(z,z \ 1) = y. T(x,y) \ K(x,x \ 1) = x * (T(x,y) \ (1 / x)). (x * (y * (1 / (x * y)))) \ K(x * y,(x * y) \ 1) = a(x,y,1 / (x * y)). K(x * (y \ 1),(x * (y \ 1)) \ 1) = (x * (y \ 1)) * (y / x). K(x,x \ 1) \ 1 = K(1 / x,x). K(x,x \ 1) * T((x * (1 / x)) \ y,z) = x * ((1 / x) * T((1 / x) \ (x \ y),z)). L(x,y,z) * K(x,x \ 1) = x * (L(x,y,z) * (1 / x)). L(x,y,z) \ K(x,x \ 1) = x * (L(x,y,z) \ (1 / x)). T(x,y) * ((T(x,y) \ x) / x) = T(K(x,x \ 1),y). (x * K(y,y \ 1)) * y = (x * y) * (y * (1 / y)). x * (1 / x) != y | y = K(x,x \ 1). x * (1 / x) != y | K(x,x \ 1) = y. (x \ 1) \ (1 / x) = K(x,1 / x). x * L(y,K(x,x \ 1),1 / (1 / x)) = (1 / (1 / x)) * (K(x,x \ 1) * y). R(x,1 / (1 / y),K(y,y \ 1)) * y = (x * (1 / (1 / y))) * K(y,y \ 1). R(x / (1 / (1 / y)),1 / (1 / y),K(y,y \ 1)) = (x * K(y,y \ 1)) / y. (x \ 1) * K(x,1 / x) = 1 / x. (1 / x) / K(x,1 / x) = x \ 1. K(x,1 / x) * (x \ 1) = 1 / x. (x \ 1) * K(x,x \ 1) = 1 / x. 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). K(x,x \ 1) * (x \ 1) = 1 / x. (1 / x) / L(y,(x \ 1) / y,K(x,x \ 1)) = K(x,x \ 1) * ((x \ 1) / y). K(x,1 / x) != y | K(x,x \ 1) = y. T(1 / (x / y),(y / x) * (x / y)) = 1 / (x / y). R(1 / x,x,y) / (1 / x) = R(1 / x,x,y) * x. K(T(x \ 1,x),(x \ 1) \ 1) = K(x \ 1,1 / (x \ 1)). x * y != L(T(z,u),z \ 1,z) | T(1 / (1 / z),u) / y = x. T(1 / (1 / x),y) / ((x \ 1) * T(x,y)) = x. L(R(x \ 1,x,x),y,z) * (x * x) = (x * x) * L((x * x) \ (1 / (1 / x)),y,z). (x * x) * L((x * x) \ (1 / (1 / x)),y,z) = L(R(x \ 1,x,x),y,z) * (x * x). (L(x \ 1,x,y) * x) * (1 / x) = (y * x) \ y. (x * y) \ x = (L(y \ 1,y,x) * y) * (1 / y). T(x,(y * x) \ y) = K(((y * x) \ y) \ (((y * x) \ y) * x),(y * x) \ y) * x. K(((x * y) \ x) \ (((x * y) \ x) * y),(x * y) \ x) * y = T(y,(x * y) \ x). x != (y \ 1) / (1 / y) | x = K(y \ 1,y). K(1 / x,1 / (1 / x)) = K(x \ 1,x). K(1 / x,(1 / x) \ 1) = K(x \ 1,x). K(1 / x,x) = K(x \ 1,x). x != K(1 / y,y) | x = K(y,y \ 1) \ 1. K(x \ 1,x) = K(x,x \ 1) \ 1. K(x,x \ 1) \ 1 = K(x \ 1,x). K(T(x,x \ 1),T(x \ 1,x)) = K(T(x \ 1,x) \ 1,T(x \ 1,x)). K(T(x \ 1,x) \ 1,T(x \ 1,x)) = K(T(x,x \ 1),T(x \ 1,x)). x * K(1 / x,x) = 1 / (1 / x). x * y != K(z,z \ 1) \ 1 | x \ K(z \ 1,z) = y. x \ K(y \ 1,y) = (K(y,y \ 1) * x) \ 1. (K(x,x \ 1) * y) \ 1 = y \ K(x \ 1,x). 1 / (x * K(y \ 1,y)) = K(y,y \ 1) / x. R(x \ 1,x,y) \ (((y / (x * y)) * x) * (1 / x)) = x * (1 / x). R(1 / (1 / x),y,z) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). R(x,y,z) \ R(T(x,x \ 1),y,z) = a(R(x,y,z),1 / x,x). L(x \ 1,x,y) / (1 / x) = L(x \ 1,x,y) * x. T((x * y) / x,y \ 1) = T((x * y) / x,1 / y). T((x * y) / x,1 / y) = T((x * y) / x,y \ 1). L(x \ 1,y,z) / (1 / x) = L(1 / x,y,z) * (1 / (1 / x)). L(1 / x,y,z) * (1 / (1 / x)) = L(x \ 1,y,z) / (1 / x). T(L(x,y,z) * (1 / x),x) = x \ L((x \ 1) \ 1,y,z). (x * K(y,y \ 1)) * y = (x * y) * K(y,y \ 1). 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). ((x / y) * (y / x)) * (1 / (y / x)) = x / y. 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))). T(1 / (1 / x),R(1 / x,x,y)) = x. T(1 / (1 / x),y / (x * y)) = x. T(x,x \ 1) = T(x,y / (x * y)). T(x,y / (x * y)) = T(x,x \ 1). T(x,y / (x * y)) = (x \ 1) \ 1. K((x / (y * x)) \ 1,x / (y * x)) * (y * x) = T(y,y \ 1) * x. T(x / y,y / x) = ((x / y) \ 1) \ 1. x \ T(x,y / (x * y)) != z | K(x,x \ 1) = z. ((((x * y) / x) \ 1) \ 1) * x = x * T(y,x / (x * 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)). (x * K(y,y \ 1)) \ ((x * y) * K(y,y \ 1)) = y. (x * K(y,y \ 1)) / y = (x / y) * K(y,y \ 1). T(x,y) = R(T(x,y * K(x,x \ 1)),y,K(x,x \ 1)). R(T(x,y * K(x,x \ 1)),y,K(x,x \ 1)) = T(x,y). T((x / y) * K(y,y \ 1),y) != z | y \ (x * K(y,y \ 1)) = z. K(T(x \ 1,x),(x \ 1) \ 1) = K(x \ 1,x). K(T(x \ 1,x),T(x,x \ 1)) = K(x \ 1,x). x != K((y \ 1) \ 1,y \ 1) | x = K(y,y \ 1). K(T((x \ 1) \ 1,x \ 1),T(x \ 1,(x \ 1) \ 1)) = K(x,x \ 1). 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 * y) / x) \ 1) \ 1) * x != x * z | T(y,x / (x * y)) = z. T(x,T(x,y) \ 1) = T(x,1 / T(x,y)). T(x,1 / T(x,y)) = T(x,T(x,y) \ 1). T(x,T(x,y) \ 1) / T(x,y) = x * (1 / T(x,y)). ((x * (1 / T(x,y))) / x) * T(x,y) = T(x,T(x,y) \ 1) / x. 1 / ((x * y) \ x) = (y * ((x * y) \ x)) \ y. (x * ((y * x) \ y)) \ x = 1 / ((y * x) \ y). x * L(x \ (y \ x),y,y \ 1) = K(y,y \ 1) * (y \ x). x * (K(x,x \ 1) * (x \ y)) = (x * (1 / x)) * y. x * y != (x * z) * L(u,z,x) | y = z * u. K(x,x \ 1) * (x \ L(y,1 / x,x)) = (1 / x) * y. x * (K(x,x \ 1) * (x \ y)) = K(x,x \ 1) * y. x \ (K(x,x \ 1) * y) = K(x,x \ 1) * (x \ y). x * (K(x,x \ 1) * y) = K(x,x \ 1) * (x * y). K(x,x \ 1) * (x * y) = x * (K(x,x \ 1) * y). K(x,x \ 1) * y != x * z | K(x,x \ 1) * (x \ y) = z. x * (K(x,x \ 1) * T(y,x)) = K(x,x \ 1) * (y * x). (x \ 1) * (K(x \ 1,x) * ((x \ 1) \ y)) = K(x \ 1,(x \ 1) \ 1) * y. (1 / x) * (K(x \ 1,x) * ((1 / x) \ y)) = K(1 / x,(1 / x) \ 1) * y. (1 / x) * y != K(x,x \ 1) * z | x \ L(y,1 / x,x) = z. K(x,x \ 1) * y != (1 / x) * z | x \ L(z,1 / x,x) = y. T(x,y) * ((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) / 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). x * T(K(x,x \ 1),y) = T(x,T(x,y) \ 1). T(x,T(x,y) \ 1) != x * z | T(K(x,x \ 1),y) = z. x != y * (1 / y) | x = K(y,y \ 1). x \ (y * L(y \ x,x \ y,y \ x)) = K(x \ y,(x \ y) \ 1). x != K(y,y \ 1) * (y * z) | x = y * (K(y,y \ 1) * z). T(x,x \ 1) * L(y,x,K(x,x \ 1)) = x * (K(x,x \ 1) * y). R(x \ 1,x,y) \ (((y / (x * y)) * x) * (1 / x)) = K(x,x \ 1). x != K(y \ (y * z),u) | x = K(z,u). R(x \ 1,x,y) / (y / (x * y)) = K(y / (x * y),x). K(x / (y * x),y) * (x / (y * x)) = R(y \ 1,y,x). x * K(x \ y,(x \ y) \ 1) = y * L(y \ x,x \ y,y \ x). x * L(x \ y,y \ x,x \ y) = y * K(y \ x,(y \ x) \ 1). L(x,K(y,y \ 1),y) = L(x,y,K(y,y \ 1)). 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). 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). K(T(x \ 1,x) \ 1,T(x \ 1,(x \ 1) \ 1)) = K(x,x \ 1). K(T(x \ 1,x) \ 1,T(x \ 1,x)) = K(x,x \ 1). x != K(T(y \ 1,y) \ 1,T(y \ 1,y)) | x = K(T(y,y \ 1),T(y \ 1,y)). K(x,x \ 1) = K(T(x,x \ 1),T(x \ 1,x)). K(T(x,x \ 1),T(x \ 1,x)) = K(x,x \ 1). K(T(x,x \ 1),T(x,x \ 1) \ 1) = K(x,x \ 1). T(x,x \ 1) \ (K(x,x \ 1) * y) = K(T(x,x \ 1),T(x,x \ 1) \ 1) * (T(x,x \ 1) \ y). K(T(x,x \ 1),T(x,x \ 1) \ 1) * (T(x,x \ 1) \ y) = T(x,x \ 1) \ (K(x,x \ 1) * y). L(x,1 / (1 / y),K(1 / (1 / y),(1 / (1 / y)) \ 1)) = L(x,K(y,y \ 1),1 / (1 / y)). L(x \ L(y,1 / x,K(x \ 1,x)),x,x \ 1) = (1 / x) * y. x \ (y * ((z * (y \ u)) / z)) = (x \ y) * ((z * ((x \ y) \ (x \ u))) / z). (x \ y) * ((z * ((x \ y) \ (x \ u))) / z) = x \ (y * ((z * (y \ u)) / z)). (x \ 1) * (K(x \ 1,x) * ((x \ 1) \ y)) = K(x \ 1,x) * y. (x \ 1) \ (K(x \ 1,x) * y) = K(x \ 1,x) * ((x \ 1) \ y). x != (y \ 1) \ (K(y \ 1,y) * z) | x = L((1 / y) \ z,1 / y,K(y \ 1,y)). K(x \ 1,x) * ((x \ 1) \ y) = L((1 / x) \ y,1 / x,K(x \ 1,x)). L((1 / x) \ y,1 / x,K(x \ 1,x)) = K(x \ 1,x) * ((x \ 1) \ y). (1 / x) * (K(x \ 1,x) * (x * y)) = K(1 / x,(1 / x) \ 1) * L(y,x,1 / x). K(1 / x,(1 / x) \ 1) * L(y,x,1 / x) = (1 / x) * (K(x \ 1,x) * (x * y)). (1 / ((x * (y \ 1)) * T(z,z \ 1))) \ (z \ y) = R(x,y \ 1,T(z,z \ 1)). x != T((y * (1 / z)) / y,T(z,u) / z) | x = (y * (1 / z)) / y. L(1 / x,T(x,y),1 / x) = (T(x,y) * (1 / x)) / T(x,y). (T(x,y) * (1 / x)) / T(x,y) = L(1 / x,T(x,y),1 / x). T(L(1 / x,T(x,y),1 / x),x) = (T(x,y) * (x \ 1)) / T(x,y). (T(x,y) * (x \ 1)) / T(x,y) = L(x \ 1,T(x,y),1 / x). x * L(x \ 1,T(x,y),1 / x) = K(T(x,y),1 / x). (x \ (y \ z)) \ ((y * x) \ z) = ((y * x) \ z) * ((x \ (y \ z)) \ 1). ((x * y) \ z) * ((y \ (x \ z)) \ 1) = (y \ (x \ z)) \ ((x * y) \ z). (x \ y) \ (((y \ x) \ 1) \ (x \ y)) = ((y \ x) \ 1) \ 1. (x \ y) * (((y \ x) \ 1) \ 1) = ((y \ x) \ 1) \ (x \ y). ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = (((y \ x) * (x \ y)) / (y \ x)) * ((x \ y) \ 1). K(x \ y,((x \ y) / ((y \ x) \ 1)) / (x \ y)) = ((y \ x) \ 1) * ((((y \ x) \ 1) \ (x \ y)) / (x \ y)). ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = K(y \ x,((y \ x) / ((x \ y) \ 1)) / (y \ x)). L(T(x,y),y,K(x \ 1,x)) != z | T(x,K(x \ 1,x) * y) = z. 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)). T(x,x * (y * T(y \ 1,x))) = x. (x * (y * T(y \ 1,x))) * (x \ 1) = x \ ((L(y \ 1,y,x) * x) / L(y \ 1,y,x)). x \ ((L(y \ 1,y,x) * x) / L(y \ 1,y,x)) = (x * (y * T(y \ 1,x))) * (x \ 1). (1 / x) * (x * (y * T(y \ 1,x))) = ((L(y \ 1,y,x) * x) / L(y \ 1,y,x)) / x. ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) / y = (1 / y) * (y * (x * T(x \ 1,y))). 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. 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)). T(x / T(x,y),x) = T(x,y) \ x. x != (y * z) / T(z,u) | x = (y / T(z,u)) * z. x * (T(x,y) \ x) = (x / T(x,y)) * x. (x / T(x,y)) * x = x * (T(x,y) \ x). T(((T(x,y) \ x) * x) / (T(x,y) \ x),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). (T(x,y) \ x) * T(x,y) = T(x,y) * T(T(x,y) \ x,x). T(x,y) * T(T(x,y) \ x,x) = (T(x,y) \ x) * T(x,y). (x * (y * (1 / (x * y)))) \ K(x * y,y \ (x \ 1)) = a(x,y,1 / (x * y)). (x \ (1 / (y * (z \ 1)))) \ (x \ z) = R(y,z \ 1,T(x,x \ 1)). (x \ (y / z)) \ (x \ y) = R(z,y \ 1,T(x,x \ 1)). R(x,y \ 1,T(z,z \ 1)) = (z \ (y / x)) \ (z \ y). 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. K(x * y,y \ (x \ 1)) / a(x,y,1 / (x * y)) = x * (y * (1 / (x * y))). K(x * y,y \ (x \ 1)) / a(x,y,1 / (x * y)) != z | z = x * (y * (1 / (x * y))). K(x * y,y \ (x \ 1)) / a(x,y,1 / (x * y)) != z | x * (y * (1 / (x * y))) = z. (x * (y * (1 / (x * y)))) \ K(x * y,y \ (x \ 1)) != z | z = a(x,y,1 / (x * y)). (x * (y * (1 / (x * y)))) \ K(x * y,y \ (x \ 1)) != z | a(x,y,1 / (x * y)) = z. L(x,y,T(z,z \ u)) != w | L(x,y,(z \ u) \ u) = w. T((x * y) * z,z \ (y \ (x \ 1))) = ((y * z) \ (R(x,y,z) \ 1)) \ 1. T((x * y) * z,z \ (y \ (x \ 1))) = (z \ (y \ (x \ 1))) \ 1. (x * y) * R((x * y) \ y,z,u) = y * (T(x,y) * R(T(x,y) \ 1,z,u)). x * (T(y,x) * R(T(y,x) \ 1,z,u)) = (y * x) * R((y * x) \ x,z,u). x * y != (z * x) * R((z * x) \ x,u,w) | T(z * R(z \ 1,u,w),x) = y. T(x * R(x \ 1,y,z),u) = T(x,u) * R(T(x,u) \ 1,y,z). T(x,y) * R(T(x,y) \ 1,z,u) = T(x * R(x \ 1,z,u),y). L(T(x,y),z,u) / x = L(T(1 / (1 / x),y),z,u) * (1 / x). L(T(1 / (1 / x),y),z,u) * (1 / x) = L(T(x,y),z,u) / x. (1 / x) * L(T((1 / x) \ 1,y),z,u) = L(T(x,y),z,u) / x. (1 / x) * L(T(x,y),z,u) = L(T(x,y),z,u) / x. R(x,y,z) \ T(x,u) = T(x,u) * (R(x,y,z) \ 1). T(x,y) * (R(x,z,u) \ 1) = R(x,z,u) \ T(x,y). (x \ y) * (R(y / x,z,u) \ 1) = R(y / x,z,u) \ T(y / x,x). R(x / y,z,u) \ T(x / y,y) = (y \ x) * (R(x / y,z,u) \ 1). R(x / y,z,u) \ (y \ x) = (y \ x) * (R(x / y,z,u) \ 1). (x \ y) * (R(y / x,z,u) \ 1) = R(y / x,z,u) \ (x \ y). x * (R((y * x) / y,z,u) \ 1) = R((y * x) / y,z,u) \ (y \ (y * x)). R((x * y) / x,z,u) \ (x \ (x * y)) = y * (R((x * y) / x,z,u) \ 1). R((x * y) / x,z,u) \ y = y * (R((x * y) / x,z,u) \ 1). x * (R((y * x) / y,z,u) \ 1) = R((y * x) / y,z,u) \ x. T(x / (x / y),z) \ T(y,z) = T(y,z) * (T(x / (x / y),z) \ 1). T(x,y) * (T(z / (z / x),y) \ 1) = T(z / (z / x),y) \ T(x,y). T(x,y) * T(T(x,y) \ (y \ z),u) = y \ ((x * y) * T((x * y) \ z,u)). x \ ((y * x) * T((y * x) \ z,u)) = T(y,x) * T(T(y,x) \ (x \ z),u). x \ (y * (x * T(x \ (y \ z),u))) = T(y,x) * T(T(y,x) \ (x \ z),u). T(x * T(x \ (y / z),u),z) = T(x,z) * T(T(x,z) \ (z \ y),u). T(x,y) * T(T(x,y) \ (y \ z),u) = T(x * T(x \ (z / y),u),y). T(x,y) * T(T(x,y) \ z,u) = T(x * T(x \ ((y * z) / y),u),y). T(x * T(x \ ((y * z) / y),u),y) = T(x,y) * T(T(x,y) \ z,u). T(x * T(x \ y,z),u) = T(x,u) * T(T(x,u) \ T(y,u),z). T(x,y) * T(T(x,y) \ T(z,y),u) = T(x * T(x \ z,u),y). T(x,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). x * K(y \ (y / T(z,x)),y) = (z * T(z \ 1,y)) * x. (x * T(x \ 1,y)) * z = z * K(y \ (y / T(x,z)),y). T(x * T(x \ 1,y),x \ y) = K(y \ (x \ y),y). T(K(x \ 1,x),y) = K(x \ (x / T(x,y)),x). K(x \ (x / T(x,y)),x) = T(K(x \ 1,x),y). T(K(x,y),z) = K(y \ (y / T(L(x \ 1,x,y),z)),y). K(x \ (x / T(L(y \ 1,y,x),z)),x) = T(K(y,x),z). T(L(x,y,z) * T(L(x,y,z) \ 1,x),x * (L(x,y,z) \ 1)) = K(x \ (L(x,y,z) \ x),x). K(x \ (x / T(y \ x,z)),x) = T(K(x \ y,x),z). K(x \ (x / (((y \ x) \ z) \ z)),x) = T(K(x \ y,x),(y \ x) \ z). T(K(x \ y,x),(y \ x) \ z) = K(x \ (x / (((y \ x) \ z) \ z)),x). x * y != (z * x) * L((z * x) \ u,w,v5) | T(z * L(z \ (u / x),w,v5),x) = y. T(x * L(x \ ((y * z) / y),u,w),y) = T(x,y) * L(T(x,y) \ z,u,w). T(x * L(x \ y,z,u),y) = T(x,y) * L(T(x,y) \ y,z,u). T(x,y) * L(T(x,y) \ y,z,u) = T(x * L(x \ y,z,u),y). (x * y) * L((x * y) \ y,z,u) = y * (T(x,y) * L(T(x,y) \ 1,z,u)). x * (T(y,x) * L(T(y,x) \ 1,z,u)) = (y * x) * L((y * x) \ x,z,u). T(x * L(x \ 1,y,z),u) = T(x,u) * L(T(x,u) \ 1,y,z). T(x,y) * L(T(x,y) \ 1,z,u) = T(x * L(x \ 1,z,u),y). T(x,y) \ T(x * L(x \ 1,z,u),y) = L(T(x,y) \ 1,z,u). T(x * L(x \ 1,T(x,y),z),y) = T(x,y) * ((z * T(x,y)) \ z). T(x,y) * L(T(x,y) \ 1,z,u) != w | w = T(x * L(x \ 1,z,u),y). T(x,y) * L(T(x,y) \ 1,z,u) != w | T(x * L(x \ 1,z,u),y) = w. T(x \ y,z) \ T((x \ y) * (y \ x),z) = L(T(x \ y,z) \ 1,x \ y,x). 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 \ x) * z)) * R((x \ ((y \ x) * z)) \ z,u,w) = x \ ((R(y,u,w) * (y \ 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 / (1 / y)) * K(y,1 / y) | x = y. K(x,1 / x) * (1 / (1 / x)) = x. T(1 / x,K(y,x)) = 1 / x. (K(x,y) * (1 / y)) * z != (1 / y) * K(x,y) | 1 = z. 1 = K(1 / x,K(y,x)). K(1 / x,K(y,x)) = 1. K(x,K(y,x \ 1)) = 1. T(x,K(y,x \ 1)) = x. K(x,y \ 1) * L(y,z,u) = L(y,z,u) * K(x,y \ 1). L(x,y,z) * K(u,x \ 1) = K(u,x \ 1) * L(x,y,z). L(x,1 / x,x) = 1 / (1 / x). K(x,x \ 1) * (1 / (1 / x)) = x. L(T(x,y),1 / x,x) = T(1 / (1 / x),y). K(x,x \ 1) \ x = 1 / (1 / x). x * L(y,1 / (1 / x),K(x,x \ 1)) = K(x,x \ 1) * ((1 / (1 / x)) * y). L((1 / (1 / x)) \ y,1 / (1 / x),K(x,x \ 1)) = x \ (K(x,x \ 1) * y). R(1 / x,y,z) \ (K(u,x) * R(1 / x,y,z)) = K(u,x). x != L(T(y,z),1 / y,y) | x = K(y,1 / y) \ (y * (T(y,z) / y)). T(1 / (1 / x),y) = K(x,1 / x) \ (x * (T(x,y) / x)). K(x,1 / x) \ (x * (T(x,y) / x)) = T(1 / (1 / x),y). x != L(y,z,u) * K(y,y \ 1) | x = y * (L(y,z,u) * (1 / y)). K(x,x \ 1) * L(x,y,z) = x * (L(x,y,z) * (1 / x)). T(K(x,y),R(1 / y,z,u)) = K(x,y). T(K(x,y),y \ 1) = K(x,y). T(x \ 1,K(y,x)) = x \ 1. T((x * y) \ x,K(z,y)) = L(y \ 1,y,x). T(x \ y,K(z,y \ x)) = L((y \ x) \ 1,y \ x,y). x != L((y \ z) \ 1,y \ z,y) | x = z \ y. T(x \ y,K(z,y \ x)) = x \ y. K(x,y \ z) * (z \ y) = (z \ y) * K(x,y \ z). K(x,1 / x) * T(1 / (1 / x),y) = x * (T(x,y) / x). K(x,x \ 1) * (x \ L(x,y,z)) = L(x,y,z) * (1 / x). K(x,x \ 1) * T(1 / (1 / x),y) = x * (T(x,y) / x). x != L(1 / y,z,u) * (1 / (1 / y)) | x = L(y \ 1,z,u) / (1 / y). K(1 / x,(1 / x) \ 1) * ((1 / x) \ L(1 / x,y,z)) = L(x \ 1,y,z) / (1 / x). K(x,x \ 1) * T(K(x,x \ 1) \ x,y) = x * (T(x,y) / x). (x * (T(x,y) / x)) * (K(x,x \ 1) \ 1) = T(x * (K(x,x \ 1) \ 1),y). (x * (T(x,y) / x)) * K(x \ 1,x) = T(x * (K(x,x \ 1) \ 1),y). (x * (T(x,y) / x)) * K(x \ 1,x) = T(x * K(x \ 1,x),y). (x * (T(x,y) / x)) * K(x \ 1,x) = T(1 / (1 / x),y). (x \ 1) * ((y * x) / y) = ((y * x) / y) / ((x \ 1) \ 1). ((x * y) / x) / ((y \ 1) \ 1) = (y \ 1) * ((x * y) / x). x / ((T(x,y) \ 1) \ 1) = (T(x,y) \ 1) * ((y * T(x,y)) / y). (T(x,y) \ 1) * ((y * T(x,y)) / y) = x / ((T(x,y) \ 1) \ 1). (T(x,y) \ 1) * x = x / ((T(x,y) \ 1) \ 1). x / ((T(x,y) \ 1) \ 1) = (T(x,y) \ 1) * x. K(x,((T(x,y) \ 1) * x) / x) = (T(x,y) \ 1) \ ((T(x,y) \ x) / x). (T(x,y) \ 1) \ ((T(x,y) \ x) / x) = K(x,((T(x,y) \ 1) * x) / x). (T(x,y) \ 1) \ ((T(x,y) \ x) / x) = K(x,T(x,y) \ 1). (T(x,y) \ 1) * K(x,T(x,y) \ 1) = (T(x,y) \ x) / x. x * ((x * ((y * (x \ 1)) / y)) * z) = (x * ((y * (x \ 1)) / y)) * (x * z). (x * ((y * (x \ 1)) / y)) * (x * z) = x * ((x * ((y * (x \ 1)) / y)) * z). K(x,(x / y) / x) * (y * z) = y * ((y * ((x * (y \ 1)) / x)) * z). K(x,(y * x) \ y) * x = T(x,(y * x) \ y). x * y != T(x,(z * x) \ z) | T(K(x,(z * x) \ z),x) = y. T(K(x,(y * x) \ y),x) = x \ T(x,(y * x) \ y). x \ T(x,(y * x) \ y) = T(K(x,(y * x) \ y),x). (((x * (y / z)) / x) * z) * u = (z * u) * ((x * ((z * u) \ (y * u))) / x). (x * y) * ((z * ((x * y) \ (u * y))) / z) = (((z * (u / x)) / z) * x) * y. (x * y) * ((z * ((x * y) \ u)) / z) = (((z * ((u / y) / x)) / z) * x) * y. (((x * ((y / z) / u)) / x) * u) * z = (u * z) * ((x * ((u * z) \ y)) / x). (x * y) * ((z * ((x * y) \ (u * y))) / z) = (x * ((z * (x \ u)) / z)) * y. (x * ((y / z) / x)) * z = (x * z) * ((x * ((x * z) \ y)) / x). (x * y) * ((x * ((x * y) \ z)) / x) = (x * ((z / y) / x)) * y. (x * y) * ((x * ((x * y) \ z)) / x) != u | (x * ((z / y) / x)) * y = u. T(x,x / (x * y)) = (x * ((x / y) / x)) * y. (x * ((x / y) / x)) * y = T(x,x / (x * y)). x != (y * z) * ((u * ((y * z) \ w)) / u) | x = y * (z * ((u * (z \ (y \ w))) / u)). (x * ((y / z) / x)) * z = x * (z * ((x * (z \ (x \ y))) / x)). x * (y * ((x * (y \ (x \ z))) / x)) = (x * ((z / y) / x)) * y. x * y != T(z,z / (z * x)) | T(z * ((z / x) / z),x) = y. T(x * ((x / y) / x),y) = y \ T(x,x / (x * y)). x \ T(y,y / (y * x)) = T(y * ((y / x) / y),x). x * ((y * (z \ u)) * ((x * ((y * (z \ u)) \ (x \ u))) / x)) = (x * (R(z / y,y,z \ u) / x)) * (y * (z \ u)). (x * (R(y / z,z,y \ u) / x)) * (z * (y \ u)) = x * ((z * (y \ u)) * ((x * ((z * (y \ u)) \ (x \ u))) / x)). x * ((y * ((x * (y \ 1)) / x)) * (x \ z)) = (x * ((z / (y * (x \ z))) / x)) * (y * (x \ z)). (x * ((y / (z * (x \ y))) / x)) * (z * (x \ y)) = x * ((z * ((x * (z \ 1)) / x)) * (x \ y)). T(x,x / (x * y)) != z | (x * ((x / y) / x)) * y = z. (x * y) * (y * ((z * (y \ 1)) / z)) = ((x * y) * ((z * ((x * y) \ x)) / z)) * y. ((x * y) * ((z * ((x * y) \ x)) / z)) * y = (x * y) * (y * ((z * (y \ 1)) / z)). x * ((y * (((x / z) * z) \ (u * z))) / y) = ((x / z) * ((y * ((x / z) \ u)) / y)) * z. ((x / y) * ((z * ((x / y) \ u)) / z)) * y = x * ((z * (((x / y) * y) \ (u * y))) / z). x * y != (z * x) * ((u * ((z * x) \ (w * x))) / u) | T(z * ((u * (z \ w)) / u),x) = y. T(x * ((y * (x \ z)) / y),z) = (z \ (x * z)) * ((y * ((z \ (x * z)) \ z)) / y). (x \ (y * x)) * ((z * ((x \ (y * x)) \ x)) / z) = T(y * ((z * (y \ x)) / z),x). T(x,y) * ((z * ((y \ (x * y)) \ y)) / z) = T(x * ((z * (x \ y)) / z),y). T(x,y) * ((z * (T(x,y) \ y)) / z) = T(x * ((z * (x \ y)) / z),y). x != L(y,z,u) \ (y * w) | x = y * (L(y,z,u) \ w). K(x \ 1,x * ((y * x) \ y)) = (x \ 1) * (L(x \ 1,x,y) \ (x * ((y * x) \ y))). (x \ 1) * (L(x \ 1,x,y) \ (x * ((y * x) \ y))) = K(x \ 1,x * ((y * x) \ y)). x != L(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. (L(x,1 / x,y) * y) / L(x,1 / x,y) = y * ((1 / x) * T(x,y)). (L(x,1 / x,y) * y) / L(x,1 / x,y) = y * (T(x,y) / x). (x * (T(y,x) / y)) \ (x * z) = x * (((L(y,1 / y,x) * x) / L(y,1 / y,x)) \ z). x * (((L(y,1 / y,x) * x) / L(y,1 / y,x)) \ z) = (x * (T(y,x) / y)) \ (x * z). (x * (y * T(y \ 1,z))) * u = (x * y) * (u * T(u \ L(y \ u,y,x),z)). (x * y) * (z * T(z \ L(y \ z,y,x),u)) = (x * (y * T(y \ 1,u))) * z. (x * y) * ((z \ L(y \ z,y,x)) * z) = (x * (y * T(y \ 1,z))) * z. (x * x) * L((x * x) \ (1 / (1 / x)),y,z) = (L(x \ 1,y,z) * x) * x. x * (x * L(x \ (x \ (1 / (1 / x))),y,z)) = (L(x \ 1,y,z) * x) * x. x * (x * L(x \ K(x \ 1,x),y,z)) = (L(x \ 1,y,z) * x) * x. x * (x * L(T(x \ 1,x),y,z)) = (L(x \ 1,y,z) * x) * x. x * (L(x \ 1,y,z) * x) = (L(x \ 1,y,z) * x) * x. (L(x \ 1,y,z) * x) * x = x * (L(x \ 1,y,z) * x). T(x,L(x \ 1,y,z) * x) = x. T(x \ y,(y \ x) * (x \ y)) = x \ y. T(x \ (x / y),y * (x \ (x / y))) = x \ (x / y). R(x \ (x / y),y,x \ (x / y)) = T(x \ (x / y),y). T(x \ (x / y),y) \ T((x \ (x / y)) * y,x \ (x / y)) = T(y,x \ (x / y)). T(x \ (x / y),y) \ ((x \ (x / y)) * y) = T(y,x \ (x / y)). T(x,T(y \ (y / x),x)) = T(x,y \ (y / x)). T(x,T(T(1 / x,R(x,y,z)),x)) = T(x,R(x,y,z) \ (R(x,y,z) / x)). T(x,R(x,y,z) \ (R(x,y,z) / x)) = T(x,T(T(1 / x,R(x,y,z)),x)). T(x,R(x,y,z) \ (R(x,y,z) / x)) = T(x,T(x \ 1,R(x,y,z))). T(x,T(1 / x,R(x,y,z))) = T(x,T(x \ 1,R(x,y,z))). K(1 / x,(1 / x) \ 1) * L(y,x,1 / x) = (1 / x) * (x * (K(x \ 1,x) * y)). 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(1 / (1 / x),(y * x) \ y) / K(x \ 1,x * ((y * x) \ y)) = x. x != (1 / y) * (y * z) | x = L(z,y,1 / y). K(1 / x,(1 / x) \ 1) * L(y,x,1 / x) = L(K(x \ 1,x) * y,x,1 / x). K(x \ 1,x) * L(y,x,1 / x) = L(K(x \ 1,x) * y,x,1 / x). L(K(x \ 1,x) * y,x,1 / x) = K(x \ 1,x) * L(y,x,1 / x). L(x * K(y \ 1,y),y,1 / y) = K(y \ 1,y) * L(T(x,K(y \ 1,y)),y,1 / y). K(x \ 1,x) * L(T(y,K(x \ 1,x)),x,1 / x) = L(y * K(x \ 1,x),x,1 / x). K(x \ 1,x) * T(K(x \ 1,x) \ y,z) = (x \ 1) * (x * T(x \ ((x \ 1) \ y),z)). (x \ 1) * ((x \ R(x,y,z)) / (x \ 1)) = T((x \ 1) * R(x,y,z),x \ 1). (x \ 1) * R(x,y,z) = T((x \ 1) * R(x,y,z),x \ 1). T((x \ 1) * R(x,y,z),x \ 1) = (x \ 1) * R(x,y,z). T(x \ 1,R(x,y,z)) \ ((x \ 1) * R(x,y,z)) = T(R(x,y,z),x \ 1). T(R(x,y,z),T(x \ 1,R(x,y,z))) = T(R(x,y,z),x \ 1). T(R(x,y,z),x \ 1) = R(T(x,T(x \ 1,R(x,y,z))),y,z). R(T(x,T(x \ 1,R(x,y,z))),y,z) = T(R(x,y,z),x \ 1). R(T(x,T(x \ 1,R(x,y,z))),y,z) = R(T(x,x \ 1),y,z). R(T(x,T(1 / x,R(x,y,z))),y,z) = R(T(x,x \ 1),y,z). (x * (y * T(y \ T(z,x),u))) / x = ((x * y) / x) * T(((x * y) / x) \ z,u). ((x * y) / x) * T(((x * y) / x) \ z,u) = (x * (y * T(y \ T(z,x),u))) / x. T(x * (1 / y),y) = (y * T(y \ x,y)) * (1 / y). (x * T(x \ y,x)) * (1 / x) = T(y * (1 / x),x). ((x \ y) * x) * (1 / x) = T(y * (1 / x),x). (x * y) * (1 / y) = T((y * x) * (1 / y),y). T((x * y) * (1 / x),x) = (y * x) * (1 / x). T(x * (1 / y),y) != z * (1 / y) | (y \ x) * y = z. T((x * y) * (1 / x),x) != z * (1 / x) | y * x = z. T(T(x,y) * ((T(x,y) / x) \ (1 / x)),T(x,y)) = T(x,y) * (K(y \ (y / (1 / x)),y) \ (1 / x)). (x \ 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. K(x,x \ 1) * T(K(x,x \ 1) \ y,z) = x * ((1 / x) * T((1 / x) \ (x \ y),z)). x \ (x * (y * T(y \ 1,x))) = (x * (y * T(y \ 1,x))) * (x \ 1). (x * (y * T(y \ 1,x))) * (x \ 1) = x \ (x * (y * T(y \ 1,x))). x != y \ (y * z) | x = z. (x * (y * T(y \ 1,x))) * (x \ 1) = y * T(y \ 1,x). (x * (y \ T(y,x))) * (x \ 1) = (y \ 1) * T((y \ 1) \ 1,x). (x \ 1) * T((x \ 1) \ 1,y) = (y * (x \ T(x,y))) * (y \ 1). (x * K(y,x)) * (x \ 1) = ((x * y) \ x) * T(((x * y) \ x) \ 1,x). ((x * y) \ x) * T(((x * y) \ x) \ 1,x) = (x * K(y,x)) * (x \ 1). (x * (y \ T(y,x))) * (x \ 1) = y \ T(y,x). K(x,y) = (y * K(x,y)) * (y \ 1). (x * K(y,x)) * (x \ 1) = K(y,x). K(x,1 / y) / y = (1 / y) * K(x,1 / y). (1 / x) * K(y,1 / x) = K(y,1 / x) / x. ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) / y = L(x * T(x \ 1,y),y,1 / y). (x * (y * T(y \ 1,x))) / x = L(y * T(y \ 1,x),x,1 / x). L(x * T(x \ 1,y),y,1 / y) = (y * (x * T(x \ 1,y))) / y. L(K(x,y),y,1 / y) = (y * (((y * x) \ y) * T(((y * x) \ y) \ 1,y))) / y. (x * (((x * y) \ x) * T(((x * y) \ x) \ 1,x))) / x = L(K(y,x),x,1 / x). (x * K(y,x)) / x = L(K(y,x),x,1 / x). L(K(x,y),y,1 / y) = (y * K(x,y)) / y. K(x \ 1,x) * ((1 / x) \ L(1 / x,y,z)) = L(x \ 1,y,z) / (1 / x). K(x \ 1,x) * (x * L(x \ 1,y,z)) = L(x \ 1,y,z) / (1 / x). ((x / y) * ((z * ((x / y) \ u)) / z)) * y = x * ((z * (x \ (u * y))) / z). (x * ((y * (x \ (z * u))) / y)) / u = (x / u) * ((y * ((x / u) \ z)) / y). (x * ((y * (x \ z)) / y)) / z = (x / z) * ((y * ((x / z) \ 1)) / y). (x / y) * ((z * ((x / y) \ 1)) / z) = (x * ((z * (x \ y)) / z)) / y. x * ((x * (T(y,x) / y)) \ z) = (x * (T(y,x) / y)) \ (x * z). (x * (T(y,x) / y)) \ (x * z) = x * ((x * (T(y,x) / y)) \ z). L(x,y,1 / y) * K(y \ 1,y) = L(x * K(y \ 1,y),y,1 / y). L(x * K(y \ 1,y),y,1 / y) = L(x,y,1 / y) * K(y \ 1,y). x != (y \ 1) * (z * T(z \ ((y \ 1) \ u),w)) | x = (y \ T(y * (u / z),w)) * z. K(x \ 1,x) * T(K(x \ 1,x) \ y,z) = (x \ T(x * (y / x),z)) * x. K(x,x \ 1) * T(K(x,x \ 1) \ y,z) = x * (T((x \ y) * x,z) / x). x != y * (T((y \ z) * y,y) / y) | x = T(z,y). K(x,x \ 1) * T(K(x,x \ 1) \ y,x) = T(y,x). T(x,y) * K(y,y \ 1) = T(x * K(y,y \ 1),y). T(x * K(y,y \ 1),y) = T(x,y) * K(y,y \ 1). K(x,x \ 1) * T(y,x) = T(K(x,x \ 1) * y,x). T(K(x,x \ 1) * y,x) = K(x,x \ 1) * T(y,x). (1 / K(x,x \ 1)) * T(y,x) = T((1 / K(x,x \ 1)) * y,x). T((1 / K(x,x \ 1)) * y,x) = (1 / K(x,x \ 1)) * T(y,x). T((x / y) * K(y,y \ 1),y) = (y \ x) * K(y,y \ 1). x * T(K(x,x \ 1) * y,x) = K(x,x \ 1) * (y * x). x \ (y * K(x,x \ 1)) = (x \ y) * K(x,x \ 1). x * ((x \ y) * K(x,x \ 1)) = y * K(x,x \ 1). (1 / x) \ (y * K(1 / x,x)) = ((1 / x) \ y) * K(1 / x,(1 / x) \ 1). ((1 / x) \ y) * K(1 / x,(1 / x) \ 1) = (1 / x) \ (y * K(1 / x,x)). x * (y * K(x,x \ 1)) = (x * y) * K(x,x \ 1). (x * y) * K(x,x \ 1) = x * (y * K(x,x \ 1)). R(x,y,K(x,x \ 1)) = x. R(T(x,y),z,K(x,x \ 1)) = T(x,y). x != R(T(y,z * K(y,y \ 1)),z,K(y,y \ 1)) | x = T(y,z). T(x,y * K(x,x \ 1)) = T(x,y). T(x,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(x,x \ 1) * y) * x = K(x,x \ 1) * (y * x). K(x,x \ 1) * (y * x) != z | (K(x,x \ 1) * y) * x = z. L(x,y,K(x,x \ 1)) = x. L(1 / x,y,K(x \ 1,x)) = 1 / x. L(T(1 / x,y),z,K(x \ 1,x)) = T(1 / x,y). T(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 * y) * K(1 / x,(1 / x) \ 1) = (1 / x) \ (L(y,x,1 / x) * K(1 / x,x)). (1 / x) \ (L(y,x,1 / x) * K(1 / x,x)) = (x * y) * K(1 / x,(1 / x) \ 1). (1 / x) \ (L(y,x,1 / x) * K(x \ 1,x)) = (x * y) * K(1 / x,(1 / x) \ 1). (1 / x) \ L(y * K(x \ 1,x),x,1 / x) = (x * y) * K(1 / x,(1 / x) \ 1). x * (y * K(x \ 1,x)) = (x * y) * K(1 / x,(1 / x) \ 1). (x * y) * K(1 / x,(1 / x) \ 1) = x * (y * K(x \ 1,x)). (x * y) * K(x \ 1,x) = x * (y * K(x \ 1,x)). R(x,y,K(x \ 1,x)) = x. x * (y * K(x \ 1,x)) != z | (x * y) * K(x \ 1,x) = z. R(1 / x,y,K(x,x \ 1)) = 1 / x. R(1 / x,y,z) = R(R(1 / x,y,z),u,K(x,x \ 1)). R(R(1 / x,y,z),u,K(x,x \ 1)) = R(1 / x,y,z). (x * K(x,y)) * T((x * K(x,y)) \ (x * y),z) = (T(y,z) * x) * K(x,y). x * (K(x,y) * T(K(x,y) \ y,z)) = (T(y,z) * x) * K(x,y). x * ((K(x,y) \ y) * K(x,y)) = (T(y,K(x,y)) * x) * K(x,y). (T(x,K(y,x)) * y) * K(y,x) = y * ((K(y,x) \ x) * K(y,x)). x != T((y * (1 / z)) / y,L(z,u,w) / z) | x = (y * (1 / z)) / y. L(1 / x,L(x,y,z),1 / x) = (L(x,y,z) * (1 / x)) / L(x,y,z). (L(x,y,z) * (1 / x)) / L(x,y,z) = L(1 / x,L(x,y,z),1 / x). L(1 / x,L(x,y,z),1 / x) * x = x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)). x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = L(1 / x,L(x,y,z),1 / x) * x. x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = x * L(x \ 1,L(x,y,z),1 / x). x != y * ((L(y,z,u) * (y \ 1)) / L(y,z,u)) | x = K(L(y,z,u),1 / y). x * L(x \ 1,L(x,y,z),1 / x) = K(L(x,y,z),1 / x). x * ((y * z) * T((y * z) \ y,u)) = (x * y) * K(u \ (u / L(z,y,x)),u). (x * y) * K(z \ (z / L(u,y,x)),z) = x * ((y * u) * T((y * u) \ y,z)). (x * y) * K(z \ (z / L(u,y,x)),z) = x * (y * (u * T(u \ 1,z))). L(x * T(x \ 1,y),z,u) = K(y \ (y / L(x,z,u)),y). x != K(y \ (y / z),y) | x = z * T(z \ 1,y). L(x * T(x \ 1,y),z,u) = L(x,z,u) * T(L(x,z,u) \ 1,y). L(x,y,z) * T(L(x,y,z) \ 1,u) = L(x * T(x \ 1,u),y,z). L(x \ T(x,y),z,u) = K(y \ (y / L(x \ 1,z,u)),y). L(x \ T(x,(y * x) \ y),x,y) = K(((y * x) \ y) \ 1,(y * x) \ y). L(T(K(x,(y * x) \ y),x),x,y) = K(((y * x) \ y) \ 1,(y * x) \ y). 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). K(x \ (x / R(y,z,u)),x) = R(y * T(y \ 1,x),z,u). R(x * T(x \ 1,y),z,u) = K(y \ (y / R(x,z,u)),y). K(x \ (x / R(y,z,u)),x) != w | R(y * T(y \ 1,x),z,u) = w. R(x * T(x \ 1,y),z,u) = R(x,z,u) * T(R(x,z,u) \ 1,y). R(x,y,z) * T(R(x,y,z) \ 1,u) = R(x * T(x \ 1,u),y,z). R(x * T(x \ 1,R(x,y,z)),y,z) = K(R(x,y,z) \ 1,R(x,y,z)). x != ((y * z) \ y) * T(((y * z) \ y) \ 1,y) | x = K(z,y). (((x * y) \ x) \ K(y,x)) / (((x * y) \ x) \ 1) = K(y,x). T(K(x,y),((y * x) \ y) \ 1) != z | (((y * x) \ y) \ 1) \ (((y * x) \ y) \ K(x,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 \ 1,x) * L(K(x \ 1,x) \ y,z,u) = (x \ 1) * (x * L(x \ ((x \ 1) \ y),z,u)). K(T(x,R(x \ 1,y,z)),R(x \ 1,y,z)) = x \ T(x,R(x \ 1,y,z)). K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)) = x \ T(x,y / (x * y)). (x \ y) \ L(1 / (y \ x),y \ x,y) = L(1 / (y \ x),y \ x,y) * ((x \ y) \ 1). L(1 / (x \ y),x \ y,x) * ((y \ x) \ 1) = (y \ x) \ L(1 / (x \ y),x \ y,x). R(T(x,T(1 / x,R(x,y,z))),y,z) \ R(x,y,z) = (R(x,y,z) \ (R(x,y,z) / x)) * x. R(T(x,x \ 1),y,z) \ R(x,y,z) = (R(x,y,z) \ (R(x,y,z) / x)) * x. R(T(x,x \ 1),y,z) \ R(x,y,z) = T(1 / x,R(x,y,z)) * x. R(T(x,x \ 1),y,z) \ R(x,y,z) != u | x * T(x \ 1,R(x,y,z)) = u. T(L(x * T(x \ 1,x),y,z),x * (L(x,y,z) \ 1)) = K(x \ (L(x,y,z) \ x),x). T(L(K(x \ 1,x),y,z),x * (L(x,y,z) \ 1)) = K(x \ (L(x,y,z) \ x),x). T(L(K(x \ 1,x),y,z),L(x,y,z) \ x) = K(x \ (L(x,y,z) \ x),x). K(x \ (L(x,y,z) \ x),x) = L(T(K(x \ 1,x),L(x,y,z) \ x),y,z). L(T(K(x \ 1,x),L(x,y,z) \ x),y,z) = K(x \ (L(x,y,z) \ x),x). L(T(K(x \ 1,x),L(x,y,z) \ x),y,z) = K(L(x,y,z) \ 1,x). 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. x != y * (z * L(z \ (y \ (u * z)),w,v5)) | x = (y * L(y \ u,w,v5)) * z. K(x \ 1,x) * L(K(x \ 1,x) \ (y * x),z,u) = ((x \ 1) * L((x \ 1) \ y,z,u)) * x. K(x \ 1,x) * R(K(x \ 1,x) \ (y * x),z,u) = (x \ R(x * y,z,u)) * x. K(x \ 1,x) * L(K(x \ 1,x) \ (y * x),z,u) = (x \ L(x * y,z,u)) * x. (x * 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). R(x,y,z) * (z * R(T(y,z),u,w)) = (R(x,y,z) * R(R(x,y,z) \ (x * y),u,w)) * z. (R(x,y,z) * R(R(x,y,z) \ (x * y),u,w)) * z = R(x,y,z) * (z * R(T(y,z),u,w)). (R(x,y,z) * R(R(x,y,z) \ (x * y),u,w)) * z = R(x,y,z) * (R(y,u,w) * z). ((x \ y) / y) * R(x,z,u) = R(x,z,u) / (((x \ y) / y) \ 1). R(x,y,z) / (((x \ u) / u) \ 1) = ((x \ u) / u) * R(x,y,z). x != T(y,y \ 1) \ (K(y,y \ 1) * z) | x = L(y \ z,y,K(y,y \ 1)). K(T(x,x \ 1),T(x,x \ 1) \ 1) * (T(x,x \ 1) \ y) = L(x \ y,x,K(x,x \ 1)). K(x,x \ 1) * (T(x,x \ 1) \ y) = L(x \ y,x,K(x,x \ 1)). K(x,x \ 1) * (((x \ 1) \ 1) \ y) = L(x \ y,x,K(x,x \ 1)). L(x \ y,x,K(x,x \ 1)) = K(x,x \ 1) * (((x \ 1) \ 1) \ y). x != T(T(y,z) * ((T(y,z) / y) \ (1 / y)),T(y,z)) | x = T(y,z) * ((T(y,z) / y) \ (1 / y)). T(x,y) * (K(y \ (y / (1 / x)),y) \ (1 / x)) = T(x,y) * ((T(x,y) / x) \ (1 / x)). T(x,y) * (T(1 / (1 / x),y) \ 1) = T(x,y) * ((T(x,y) / x) \ (1 / x)). x != T(y,z) * (T(u / (u / y),z) \ 1) | x = T(u / (u / y),z) \ T(y,z). T(x,y) * ((T(x,y) / x) \ (1 / x)) = T(1 / (1 / x),y) \ T(x,y). K(R(x,y,z),((x \ 1) * R(x,y,z)) / R(x,y,z)) = (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)). K(R(x,y,z),x \ 1) = (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)). (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) = K(R(x,y,z),x \ 1). (x \ 1) * K(R(x,y,z),x \ 1) = (x \ R(x,y,z)) / R(x,y,z). (x \ R(x,y,z)) / R(x,y,z) = (x \ 1) * K(R(x,y,z),x \ 1). (x \ 1) * K(R(x,y,z),x \ 1) != u | u = (x \ R(x,y,z)) / R(x,y,z). (x \ 1) * K(R(x,y,z),x \ 1) != u | (x \ R(x,y,z)) / R(x,y,z) = u. (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) != u | u = K(R(x,y,z),x \ 1). (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) != u | K(R(x,y,z),x \ 1) = u. K((1 / x) \ ((1 / x) * T((1 / x) \ 1,y)),1 / x) = (((1 / x) * T(x,y)) / (1 / x)) \ T(x,y). K((1 / x) \ (T(x,y) / x),1 / x) = (((1 / x) * T(x,y)) / (1 / x)) \ T(x,y). (((1 / x) * T(x,y)) / (1 / x)) \ T(x,y) = K((1 / x) \ (T(x,y) / x),1 / x). (((1 / x) * T(x,y)) / (1 / x)) \ T(x,y) = K(T(x,y),1 / x). T(1 / (1 / x),y) \ T(x,y) = K(T(x,y),1 / x). 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). K(T(x,y),T(x,y) \ 1) = T(K(T(x,y),1 / x),y). x != T(K(T(y,z),1 / y),z) | x = T(y,z) * ((T(y,z) / y) \ (1 / y)). 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). x != T(y,z) * ((T(y,z) / y) \ (1 / y)) | x = T(1 / (1 / y),z) \ T(y,z). K(T(x,y),T(x,y) \ 1) = T(1 / (1 / x),y) \ T(x,y). T(1 / (1 / x),y) \ T(x,y) = K(T(x,y),T(x,y) \ 1). (T(x,y) / x) * (1 / T(x,y)) = 1 / x. (T(T(x,x \ 1),y) / T(x,x \ 1)) \ (x \ 1) = 1 / T(T(x,x \ 1),y). x != T(1 / (1 / y),z) \ T(y,z) | x = K(T(y,z),1 / y). K(T(x,y),T(x,y) \ 1) = K(T(x,y),1 / x). (x \ T(x,y)) \ (x \ 1) = 1 / T(T(x,x \ 1),y). T(x,y) \ 1 = 1 / T(T(x,x \ 1),y). 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 \ 1,y) = T(1 / x,y) \ 1. 1 / T(x,y) = T(1 / (1 / x),y) \ 1. T(1 / (1 / x),y) \ 1 = 1 / T(x,y). T((x \ 1) \ 1,y) = (T(x,y) \ 1) \ 1. (T(x,y) \ 1) \ 1 = T((x \ 1) \ 1,y). T(x \ 1,y) = (T(1 / x,y) \ 1) \ 1. (T(1 / x,y) \ 1) \ 1 = T(x \ 1,y). x * y != 1 / T(z \ 1,u) | (T(1 / z,u) \ 1) / y = x. (T(1 / x,y) \ 1) / y = 1 / ((x \ 1) * y). 1 / (1 / T(x,y)) = T(1 / (1 / x),y). x * ((T(y,x) \ 1) \ 1) = ((y \ 1) \ 1) * x. ((x \ y) \ 1) \ 1 = T(((y / x) \ 1) \ 1,x). T(((x / y) \ 1) \ 1,y) = ((y \ x) \ 1) \ 1. x != 1 / (1 / y) | x = y * K(y \ 1,y). T(1 / (1 / x),y) = T(x,y) * K(T(x,y) \ 1,T(x,y)). T(x,y) * K(T(x,y) \ 1,T(x,y)) = T(1 / (1 / x),y). 1 / (1 / (x \ y)) = T(1 / (1 / (y / x)),x). T(1 / (1 / (x / y)),y) = 1 / (1 / (y \ x)). T(1 / (1 / ((x \ 1) \ y)),z) \ x = (1 / T(x * y,z)) * x. T(1 / x,y) \ (1 / y) = 1 / ((x \ 1) * y). T(x,T(x,y) \ 1) = (x \ 1) \ 1. x * (((x \ y) \ 1) \ 1) = (((y / x) \ 1) \ 1) * x. (((x / y) \ 1) \ 1) * y = y * (((y \ x) \ 1) \ 1). (x * y) * ((((x * y) \ (z * y)) \ 1) \ 1) = ((R(z / x,x,y) \ 1) \ 1) * (x * y). ((R(x / y,y,z) \ 1) \ 1) * (y * z) = (y * z) * ((((y * z) \ (x * z)) \ 1) \ 1). x != (y \ 1) \ 1 | x = y * K(y,y \ 1). T(x,T(x,y) \ 1) = x * K(x,x \ 1). T(x,T(x,y) \ 1) = T(x,x \ 1). (T(x,y) \ x) / ((x \ 1) \ 1) = T(x,y) \ 1. T(K(x,x \ 1),y) = K(x,x \ 1). T(x,K(y,y \ 1)) = x. x * y != T(K(z,z \ 1),u) | x \ K(z,z \ 1) = y. T(x,y) \ K(x,x \ 1) = (T(x,y) \ x) / x. x * K(y,y \ 1) = K(y,y \ 1) * x. K(x,x \ 1) * y = y * K(x,x \ 1). x * K(y,y \ 1) != z | K(y,y \ 1) * x = z. K(x,x \ 1) * y != z * K(x,x \ 1) | z = y. K(x,x \ 1) * y != z | y * K(x,x \ 1) = z. T(x,K(y,1 / y)) = x. T(x,K(y \ 1,y)) = x. x * K(y,1 / y) = K(y,1 / y) * x. K(x,1 / x) * y = y * K(x,1 / x). x * K(y \ 1,y) = K(y \ 1,y) * x. K(x \ 1,x) * y = y * K(x \ 1,x). T(K(x \ 1,x),y) = K(x \ 1,x). (x * K(y \ 1,y)) / x = K(y \ 1,y). K(x \ 1,x) * y != z * K(x \ 1,x) | z = y. K(x \ 1,x) * y != z | y * K(x \ 1,x) = z. x != T(K(y \ 1,y),z) | x = K(y \ (y / T(y,z)),y). K(x \ 1,x) = K(x \ (x / T(x,y)),x). K(x \ (x / T(x,y)),x) = K(x \ 1,x). T((x \ 1) * x,y) = K(x \ 1,x). x * K(y \ 1,y) != z | K(y \ 1,y) * x = z. L(K(x \ 1,x),y,z) = K(L(x,y,z) \ 1,x). R(x,y,K(z,z \ 1)) = ((x * y) * K(z,z \ 1)) / (K(z,z \ 1) * y). ((x * y) * K(z,z \ 1)) / (K(z,z \ 1) * y) = R(x,y,K(z,z \ 1)). R(x,x \ y,K(z,z \ 1)) \ (K(z,z \ 1) * y) = (x \ y) * K(z,z \ 1). (K(x,x \ 1) * y) \ ((z * y) * K(x,x \ 1)) = R(T(z,y * K(x,x \ 1)),y,K(x,x \ 1)). (K(x,x \ 1) * y) \ ((z * y) * K(x,x \ 1)) != u | L(T(z,y),y,K(x,x \ 1)) = u. (x * K(y,y \ 1)) \ 1 = x \ K(y \ 1,y). x != (y / z) * K(z \ 1,z) | x = y * T(y \ (y / z),z). K(x \ 1,x) * (y / x) = y * T(y \ (y / x),x). x * (K(y \ 1,y) * z) = x * (z * K(y \ 1,y)). x != K(y \ 1,y) * L(1 / y,z,u) | x = (y \ 1) * (y * L(y \ 1,z,u)). L(1 / x,y,z) * K(x \ 1,x) = (x \ 1) * (x * L(x \ 1,y,z)). (x * K(y \ 1,y)) * L(z,x,K(y \ 1,y)) = K(y \ 1,y) * (x * z). R(x,x \ y,K(z \ 1,z)) \ (K(z \ 1,z) * y) = (x \ y) * K(z \ 1,z). (x * K(y \ 1,y)) \ 1 = x \ K(y,y \ 1). (K(x \ 1,x) * y) \ ((z * y) * K(x \ 1,x)) = R(T(z,y * K(x \ 1,x)),y,K(x \ 1,x)). (K(x \ 1,x) * y) \ ((z * y) * K(x \ 1,x)) != u | L(T(z,y),y,K(x \ 1,x)) = u. ((x * y) / x) \ K(y \ 1,y) = T(((x * y) / x) \ 1,y). K(x \ 1,x) / T(x,y) = T(1 / T(x,y),x). x != T((((y * z) / y) \ u) \ u,y) | x = T(z,((y * z) / y) \ u). ((x \ (x * y)) \ 1) \ 1 = T(y,((x * y) / x) \ 1). T(x,((y * x) / y) \ 1) = ((y \ (y * x)) \ 1) \ 1. (x * (((x \ y) \ 1) \ 1)) / x = ((y / x) \ 1) \ 1. (x * (1 / (1 / (x \ y)))) / x = 1 / (1 / (y / x)). T(1 / x,y) \ (1 / y) = (1 / (1 / y)) \ x. (T(x,y) \ 1) * ((x \ 1) \ 1) = T(x,y) \ x. (T(x,y) \ 1) * ((x \ 1) \ 1) != z | z = T(x,y) \ x. (T(x,y) \ 1) * ((x \ 1) \ 1) != z | T(x,y) \ x = z. (x * y) * K(L(z,y,x) \ 1,z) = x * (y * K(z \ 1,z)). (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 \ 1) * (T(x,y) \ x) = T(x,y) \ 1. T(x,y / (y * x)) = ((y \ (y * x)) \ 1) \ 1. T(x,y / (y * x)) = (x \ 1) \ 1. T(x \ y,x / y) = ((x \ y) \ 1) \ 1. T((x * y) \ y,x) = (((x * y) \ y) \ 1) \ 1. T(x \ (y \ x),y) = ((x \ (y \ x)) \ 1) \ 1. x * T(x \ (x / y),y) != z | (x / y) * K(y \ 1,y) = z. T(x,((y * x) / y) \ 1) = (x \ 1) \ 1. (((x / y) \ 1) \ 1) * y != z | z = y * (((y \ x) \ 1) \ 1). (((x / y) \ 1) \ 1) * y != z | y * (((y \ x) \ 1) \ 1) = z. (x * (1 / (1 / y))) / x = 1 / (1 / ((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. T(((x * y) / x) * (((x * y) / x) \ K(y \ 1,y)),((x * y) / x) \ y) = K(y \ (((x * y) / x) \ y),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 * (y * K(z \ 1,z)) != (x * y) * u | K(L(z,y,x) \ 1,z) = u. (x * y) * z != x * (y * K(u \ 1,u)) | K(L(u,y,x) \ 1,u) = z. T(x,R(y,x,(y * x) \ x)) \ x = K(x,y) \ 1. T(1 / ((1 / x) * (y \ 1)),z) \ y = (1 / T(y * x,z)) * y. T(x / (1 / y),z) \ x = (1 / T(x * y,z)) * x. ((x \ 1) * (x * L(x \ 1,x,y))) * x = (x * ((y * x) \ y)) * K(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(x,x \ 1) * (y * z)) / (K(x,x \ 1) * z) = R(y,z,K(x,x \ 1)). x != (y * (z * L(z \ 1,u,w))) * z | x = (y * z) * (z * L(z \ 1,u,w)). (x * ((y * x) \ y)) * K(x \ 1,x) = ((x \ 1) * x) * (x * L(x \ 1,x,y)). ((x \ 1) * x) * (x * L(x \ 1,x,y)) = (x * ((y * x) \ y)) * K(x \ 1,x). K(x \ 1,x) * (x * L(x \ 1,x,y)) = (x * ((y * x) \ y)) * K(x \ 1,x). x != K(y \ 1,y) * (y * L(y \ 1,z,u)) | x = L(y \ 1,z,u) / (1 / y). (x * ((y * x) \ y)) * K(x \ 1,x) = L(x \ 1,x,y) / (1 / x). x != L(y \ 1,y,z) / (1 / y) | x = L(y \ 1,y,z) * y. (x * ((y * x) \ y)) * K(x \ 1,x) = L(x \ 1,x,y) * x. x * y != (y * ((z * y) \ z)) * K(y \ 1,y) | x = (y \ 1) * (y * L(y \ 1,y,z)). L(x \ 1,x,y) = (x \ 1) * (x * L(x \ 1,x,y)). (x \ 1) * (x * L(x \ 1,x,y)) = L(x \ 1,x,y). (x \ 1) * (x * L(x \ 1,x,y)) = (y * x) \ y. (x * y) \ x = (y \ 1) * (y * L(y \ 1,y,x)). (x * y) \ x = (y \ 1) * (y * ((x * y) \ x)). (x \ 1) * (x * ((y * x) \ y)) = (y * x) \ y. x != y | x = y * 1. (x \ 1) * (x * ((y * x) \ y)) = ((y * x) \ y) * 1. K(x \ 1,x * ((y * x) \ y)) = 1. x * y != K(z \ 1,z * ((u * z) \ u)) | x \ 1 = y. (x \ 1) \ 1 = T(x,(y * x) \ y). T(x,(y * x) \ y) = (x \ 1) \ 1. T(1 / (1 / x),(y * x) \ y) / 1 = x. T(x,(y * x) \ y) = T(x,x \ 1). x * y != T(z,(u * z) \ u) | ((z \ 1) \ 1) / y = x. ((x \ 1) \ 1) / x = K(x,(y * x) \ y). K(x,(y * x) \ y) = ((x \ 1) \ 1) / x. T(x \ y,y \ x) = ((x \ y) \ 1) \ 1. T(K(x,y),(x * y) \ (y * x)) = T(K(x,y),K(x,y) \ 1). T(1 / (1 / x),(y * x) \ y) = x. T(1 / (1 / (x \ y)),y \ x) = x \ y. x != ((y \ 1) \ 1) / y | x = K(y,y \ 1). K(x,(y * x) \ y) = K(x,x \ 1). K(x \ y,y \ x) = K(x \ y,(x \ y) \ 1). K(x \ y,(x \ y) \ 1) = K(x \ y,y \ x). K(x,y \ (y / x)) = K(x,x \ 1). K(x \ y,T(y,x) \ ((y * x) / y)) = K(x \ y,(x \ y) \ 1). K(x,(y * x) \ y) \ 1 = K(x \ 1,x). T(K(x,(y * x) \ y),z) = K(x,x \ 1). K(x,x \ 1) = K((y / x) \ y,z \ (z / x)). K((x / y) \ x,z \ (z / y)) = K(y,y \ 1). T(x \ (x / y),y) = ((x \ (x / y)) \ 1) \ 1. T(K(x \ (x / (y \ 1)),x),T(y,x) \ y) = ((y \ T(y,x)) \ 1) \ 1. x * (((x \ y) \ 1) \ 1) = y * K((y \ x) \ 1,y \ x). x * K((x \ y) \ 1,x \ y) = y * (((y \ x) \ 1) \ 1). T(K(x \ y,x),(y \ x) \ 1) = K(x \ (x / T(y \ x,x \ y)),x). K(x \ (x / T(y \ x,x \ y)),x) = T(K(x \ y,x),(y \ x) \ 1). (x * T(x \ y,y \ x)) / x = ((y / x) \ 1) \ 1. T(1 / (1 / K(x \ (x / (y \ 1)),x)),T(y,x) \ y) = y \ T(y,x). L(K(x,x \ 1),x,y) = K(((y * x) \ y) \ 1,(y * x) \ y). (x \ y) * (1 / (x \ y)) = K(x \ y,y \ x). K((x * y) \ x,((x * y) \ x) \ 1) = K((x * y) \ x,y). 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). K(x \ y,y \ x) * z != u | z * K(x \ y,y \ x) = u. T(x / y,x \ y) = ((x / y) \ 1) \ 1. T(x / (x * y),y) = ((x / (x * y)) \ 1) \ 1. 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)). (K(x,y) \ 1) \ 1 = T(K(x,y),K(y,x)). T(K(x,y),K(y,x)) = (K(x,y) \ 1) \ 1. x != T(K(y,z),K(u,y)) | x = K(y,z). (K(x,y) \ 1) \ 1 = K(x,y). 1 / (1 / K(x,y)) = K(x,y). L(K(x,x \ 1),x,y) \ 1 = K((y * x) \ y,((y * x) \ y) \ 1). K((x * y) \ x,((x * y) \ x) \ 1) = L(K(y,y \ 1),y,x) \ 1. T(x,L(K(y,y \ 1),y,z)) = x. K(x \ y,T(x / y,T(y,x))) = K(x \ y,(x \ y) \ 1). x != K(y \ z,(y \ z) \ 1) | x = K(y \ z,z \ y). K(x \ y,T(x / y,T(y,x))) = K(x \ y,y \ x). x != K((y * z) \ y,((y * z) \ y) \ 1) | x = K((y * z) \ y,z). L(K(x,x \ 1),x,y) \ 1 = K((y * x) \ y,x). K((x * y) \ x,y) = L(K(y,y \ 1),y,x) \ 1. x != K(y \ (y / T(z \ y,u)),y) | x = T(K(y \ z,y),u). T(K(x \ y,x),(y \ x) \ 1) = T(K(x \ y,x),x \ y). T(K(x,y),((y * x) \ y) \ 1) = T(K(y \ (y * x),y),y \ (y * x)). T(K(x \ (x * y),x),x \ (x * y)) = T(K(y,x),((x * y) \ x) \ 1). T(K(x \ (x / (y \ 1)),x),T(y,x) \ y) = y \ T(y,x). x != T(K(y \ (y / (z \ 1)),y),T(z,y) \ z) | x = ((z \ T(z,y)) \ 1) \ 1. x \ T(x,y) = ((x \ T(x,y)) \ 1) \ 1. ((x \ T(x,y)) \ 1) \ 1 = x \ T(x,y). 1 / (x \ T(x,y)) = (x \ T(x,y)) \ 1. x != (y \ T(y,z)) \ 1 | x = T(y,z) \ y. 1 / (x \ T(x,y)) = T(x,y) \ x. x != 1 / (y \ z) | x = (1 / z) * y. T(x,y) \ x = (1 / T(x,y)) * x. (1 / T(x,y)) * x = T(x,y) \ x. x * y != 1 / (z \ T(z,u)) | (T(z,u) \ z) / y = x. (T(x,y) \ x) / x = 1 / T(x,y). x * ((T(x,y) \ x) \ 1) = T(x,y). x / T(x,y) = T(x,y) \ x. x * y != T(x,z) \ x | T(1 / T(x,z),x) = y. T(1 / T(x,y),x) = T(x,y) \ 1. x != y / T(y,z) | x = K(y \ (y / ((z \ y) / T(y,z))),y). T(x,y) \ x = K(x \ (x / ((y \ x) / T(x,y))),x). K(x \ (x / ((y \ x) / T(x,y))),x) = T(x,y) \ x. (T(x,y) \ x) * T(x,y) = x. (T(x,y) \ x) \ x = T(x,y). (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. x != (T(y,z) \ y) / y | x = T(y,z) \ K(y,y \ 1). 1 / T(x,y) = T(x,y) \ K(x,x \ 1). T(x,y) \ K(x,x \ 1) = 1 / T(x,y). ((T(x,y) \ x) / x) \ 1 = T(x,y). x != T(1 / T(y,z),y) | x = K(y \ 1,y) / T(y,z). T(x,y) \ 1 = K(x \ 1,x) / T(x,y). K(x \ 1,x) / T(x,y) = T(x,y) \ 1. K(x,y) = T(K(x,y),y). T(K(x,y),y) = K(x,y). T(x,K(y,x)) = x. L(K(x,y),z,u) = T(L(K(x,y),z,u),y). T(L(K(x,y),z,u),y) = L(K(x,y),z,u). x * K(y,x) = K(y,x) * x. K(x,y) * y = y * K(x,y). (x * K(y,x)) / x = K(y,x). K(x,K(y,x)) = 1. K(x,y) * T(y,z) = T(y,z) * K(x,y). T(x,y) * K(z,x) = K(z,x) * T(x,y). x \ (K(y,x) \ 1) = (x * K(y,x)) \ 1. (x * K(y,x)) \ 1 = x \ (K(y,x) \ 1). K(x,y) * L(y,z,u) = L(y,z,u) * K(x,y). L(x,y,z) * K(u,x) = K(u,x) * L(x,y,z). K(x,y) * R(y,z,u) = R(y,z,u) * K(x,y). R(x,y,z) * K(u,x) = K(u,x) * R(x,y,z). K(x,y) * T(y,z) != u | T(y,z) * K(x,y) = u. K(x,y) * T(T(y,z),u) = T(T(y,z),u) * K(x,y). T(T(x,y),z) * K(u,x) = K(u,x) * T(T(x,y),z). T(x,y * T(y \ 1,x)) = x. T(x,y \ T(y,x)) = x. K(x,y) * T(T(y,z),u) != w | T(T(y,z),u) * K(x,y) = w. T(x,x \ ((y * x) / y)) = x. (x * y) * K(y,x) = y * ((K(y,x) \ x) * K(y,x)). x * ((K(x,y) \ y) * K(x,y)) = (y * x) * K(x,y). (x \ T(x,y)) * y = y * (x \ T(x,y)). R(x,K(y,z),z) * (z * K(y,z)) = (x * K(y,z)) * z. (x * K(y,z)) * z != u * (z * K(y,z)) | R(x,K(y,z),z) = u. ((x * K(y,z)) * z) / (z * K(y,z)) != u | R(x,K(y,z),z) = u. x != (y * K(z,y)) / y | x = L(K(z,y),y,1 / y). K(x,y) = L(K(x,y),y,1 / y). L(K(x,y),y,1 / y) = K(x,y). x != (y * K(T(z,y),y)) / y | x = L((T(z,y) * (z \ y)) / y,y,z). K(T(x,y),y) = L((T(x,y) * (x \ y)) / y,y,x). L((T(x,y) * (x \ y)) / y,y,x) = K(T(x,y),y). R(K(x,y),y,(y * K(x,y)) \ z) \ z = y * ((y * K(x,y)) \ z). T(x * T(x \ 1,y),y) = x * T(x \ 1,y). ((x * y) / x) / y = y \ ((x * y) / x). (1 / x) * (x * K(y,x)) = K(y,x). x * y != L(K(z,u),u,1 / u) | x \ K(z,u) = y. (1 / x) \ K(y,x) = x * K(y,x). x * y != (1 / z) * (z * K(u,z)) | x \ K(u,z) = y. x \ K(y,x \ 1) = (x \ 1) * K(y,x \ 1). (x \ 1) * K(y,x \ 1) = x \ K(y,x \ 1). x != T(y,z) \ K(y,y \ 1) | x = y * (T(y,z) \ (1 / y)). 1 / T(x,y) = x * (T(x,y) \ (1 / x)). x * (T(x,y) \ (1 / x)) = 1 / T(x,y). (T(x,y) \ 1) * T(x,y) = K(x \ 1,x). T(x,L(K(y,x),z,u)) = x. (T(x,y) * K(z,x)) * u != K(z,x) * T(x,y) | 1 = u. 1 = K(K(x,y),T(y,z)). 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 * (((y * x) / y) / x) = (y * x) / y. R(x / (x / y),z,u) / R(y,z,u) = R(y,z,u) \ (((x / y) * R(y,z,u)) / (x / y)). R(x,y,z) \ (((u / x) * R(x,y,z)) / (u / x)) = R(u / (u / x),y,z) / R(x,y,z). K(T(x,y) \ 1,T(x,y)) = K(x \ 1,x). (1 / T(x,y)) * K(x \ 1,x) = T(x,y) \ 1. (x \ 1) * (x * ((y * (x \ 1)) / y)) = (y * (x \ 1)) / y. T(x,y) * K(x \ 1,x) = T(1 / (1 / x),y). x * (y * T(y \ 1,x)) = y * ((x \ (y \ x)) * x). x * ((y \ (x \ y)) * y) = y * (x * T(x \ 1,y)). (x \ R(x,y,z)) / R(x,y,z) = x \ K(R(x,y,z),x \ 1). x * ((1 / T(x,y)) * K(x \ 1,x)) = T(x,y) \ x. x * K(y \ 1,y) != T(1 / (1 / y),z) | x = y * (T(y,z) / y). T(x,y) = x * (T(x,y) / x). x * (T(x,y) / x) = T(x,y). x \ T(x,y) = T(x,y) / x. T(x,y) / x = x \ T(x,y). T(x,y) * z != x * (T(x,y) / x) | 1 = z. 1 = K(x,T(x,y) / x). K(x,T(x,y) / x) = 1. (x \ T(x,y)) * x = T(x,y). 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 \ ((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(x \ 1,y) = (x \ 1) \ T(x \ 1,y). (x \ 1) \ T(x \ 1,y) = x * T(x \ 1,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. (x * (y \ T(y,x))) \ (x * z) = x * ((x * (T(y,x) / y)) \ z). (x \ T(x,y)) * (1 / T(x,y)) = 1 / x. K(x,x \ T(x,y)) = 1. T(x,x \ T(x,y)) = x. T(x,K(y \ (y / (x \ 1)),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. T(x,y) / (x \ T(x,y)) = L(x,x \ T(x,y),x). L(x,x \ T(x,y),x) = T(x,y) / (x \ T(x,y)). T(1 / (1 / x),T(1 / x,y)) = x. T(x,y) * (x \ 1) = (1 / x) * T(x,y). T(x \ 1,x) = T(x \ 1,T(x,y)). T(x \ 1,T(x,y)) = T(x \ 1,x). T(x / (y * x),T(y,z)) = R(y \ 1,y,x). K(x \ 1,T(x,y)) = x * T(x \ 1,T(x,y)). x * T(x \ 1,T(x,y)) = K(x \ 1,T(x,y)). (((x * y) / x) \ y) \ y = (x * y) / x. T(x,x \ 1) = T(x,T(1 / x,y)). T(x,T(1 / x,y)) = T(x,x \ 1). T(x * 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). T(x,x \ 1) * T(x \ 1,y) = x * T(1 / x,y). (((x * y) / x) \ y) * ((x * y) / x) = y. (((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1)) \ (x \ 1) = (R(x,y,z) * (x \ 1)) / R(x,y,z). T(x,x / (y * x)) = T(x,x / (x * y)). x != L(y \ 1,y,z) * T(L(y \ 1,y,z) \ 1,z) | x = K(y,z). (L(x \ 1,x,y) \ 1) \ T(L(x \ 1,x,y) \ 1,y) = K(x,y). K(x,y) = (L(x \ 1,x,y) \ 1) \ T(L(x \ 1,x,y) \ 1,y). L(x * T(x \ 1,y),x \ 1,y) != z | K(x \ 1,y) = z. x * T(x \ 1,x) = K(x \ 1,T(x,y)). K(x \ 1,T(x,y)) = x * T(x \ 1,x). x != y * T(y \ 1,y) | x = K(y \ 1,y). K(x \ 1,T(x,y)) = K(x \ 1,x). R(x \ T(x,y),K(x \ 1,x),z) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,T(x,y)) * z. 1 / (x \ ((y * x) / y)) = T(y,R(x,x \ 1,y)) \ y. T(x,R(y,y \ 1,x)) \ x = 1 / (y \ ((x * y) / x)). T(x,y \ ((x * y) / x)) = x. T(x,T(y,x) \ y) = x. (T(x,y) \ x) * y = y * (T(x,y) \ x). T(x,K(y,x) \ 1) = x. (K(x,y) \ y) / (K(x,y) \ 1) = (K(x,y) \ 1) \ (K(x,y) \ y). 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 / (z \ y) | x = z. L(x,x \ T(x,y),x) = x. x * y != (z * x) * K(x,z) | y = z. (K(x,y) \ y) * K(x,y) = y. x / K(y,x) = K(y,x) \ x. (x * (1 / T(x,y))) * K(x \ 1,x) = T(x,y) \ x. x != T(y,y \ z) * u | x = ((y \ z) \ z) * u. x * T(1 / x,y) = ((x \ 1) \ 1) * T(x \ 1,y). ((x \ 1) \ 1) * T(x \ 1,y) = x * T(1 / x,y). (x * T(1 / x,y)) \ (((x \ 1) \ 1) * (T(x \ 1,y) * z)) = L(z,T(x \ 1,y),(x \ 1) \ 1). x != 1 / (y \ ((z * y) / z)) | x = ((z * y) / z) \ y. 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). (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)). x * ((x \ R(x,y,z)) / R(x,y,z)) = K(R(x,y,z),x \ 1). x * L(y,x,x \ T(x,z)) = L(x * y,x \ T(x,z),x). L(x * y,x \ T(x,z),x) = x * L(y,x,x \ T(x,z)). L(x,y \ T(y,z),y) = y * L(y \ x,y,y \ T(y,z)). x * L(x \ y,x,x \ T(x,z)) = L(y,x \ T(x,z),x). 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)). K(R(x,y,z),x \ 1) / (R(x,y,z) \ 1) = T(R(x,y,z),R(x,y,z) / (R(x,y,z) * x)). T(R(x,y,z),R(x,y,z) / (R(x,y,z) * x)) = K(R(x,y,z),x \ 1) / (R(x,y,z) \ 1). (x * (y \ T(y,x))) \ (x * z) = x * ((x * (y \ T(y,x))) \ z). T(x,x \ K(y,x)) = T(x,x \ 1). K(x,y) / T(y,y \ 1) = y \ K(x,y). 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. T((x * K(y,x)) * (R(K(y,x),x,(x * K(y,x)) \ 1) \ 1),z) = (x * K(y,x)) * (T(x,z) * ((x * K(y,x)) \ 1)). R((x / y) \ T(x / y,z),x / y,y) = (y * T(y \ x,z)) / x. T(K(x,y),y \ (y * x)) = T(K(x,y),((y * x) \ y) \ 1). T(K(x,y),((y * x) \ y) \ 1) = T(K(x,y),y \ (y * x)). T(K(x,y),((y * x) \ y) \ 1) = T(K(x,y),x). T(K(x,y),x) != z | (((y * x) \ y) \ 1) \ (((y * x) \ y) \ K(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). R(x,y,z) \ R(u / (u / x),y,z) = R(u / (u / x),y,z) / R(x,y,z). R(x / (x / y),z,u) / R(y,z,u) = R(y,z,u) \ R(x / (x / y),z,u). x != R(1 / (1 / y),z,u) / R(y,z,u) | x = y * T(y \ 1,R(y,z,u)). R(x,y,z) \ R(1 / (1 / x),y,z) = x * T(x \ 1,R(x,y,z)). T(L((x * y) / x,z \ T(z,x),z),x) = (z \ T(z,x)) * (z * (T(z,x) \ y)). (x \ T(x,y)) * (x * (T(x,y) \ z)) = L(y \ (y * z),x \ T(x,y),x). L(x \ (x * y),z \ T(z,x),z) = (z \ T(z,x)) * (z * (T(z,x) \ y)). L(x,y \ T(y,z),y) = (y \ T(y,z)) * (y * (T(y,z) \ x)). (x \ T(x,y)) * (x * (T(x,y) \ z)) = L(z,x \ T(x,y),x). x * y != L(z,z \ T(z,u),z) | x \ z = y. (x \ T(x,y)) \ x = x * (T(x,y) \ x). (x \ T(x,y)) * (1 / T(x,y)) = L(1 / x,x \ T(x,y),x). L(1 / x,x \ T(x,y),x) = (x \ T(x,y)) * (1 / T(x,y)). (x \ (x * K(x,y))) \ x = x * (T(x,R(y,x,(y * x) \ x)) \ x). x * (T(x,R(y,x,(y * x) \ x)) \ x) = (x \ (x * K(x,y))) \ x. (x \ ((y * x) / y)) \ y = y * (T(y,R(x,x \ 1,y)) \ y). x * (T(x,R(y,y \ 1,x)) \ x) = (y \ ((x * y) / x)) \ x. x != (y \ T(y,z)) * (1 / T(y,z)) | x = 1 / y. L(1 / x,x \ T(x,y),x) = 1 / x. x * ((x \ T(x,y)) * T(1 / x,x * (x \ T(x,y)))) = (1 / x) * (x * (x \ T(x,y))). x * (((x * y) / x) \ y) = (y \ ((x * y) / x)) \ x. (x \ ((y * x) / y)) \ y = y * (((y * x) / y) \ x). (T(x,y) \ x) \ y = y * (((y * T(x,y)) / y) \ T(x,y)). x * (((x * T(y,x)) / x) \ T(y,x)) = (T(y,x) \ y) \ x. x * (y \ T(y,x)) = (T(y,x) \ y) \ x. (T(x,y) \ x) \ y = y * (x \ T(x,y)). (T(x,y) \ x) * (y * (x \ T(x,y))) = y. x * (T(x,R(y,x,(y * x) \ x)) \ x) = K(x,y) \ x. x * (K(x,y) \ 1) = K(x,y) \ x. K(x,y) \ x != x * z | K(x,y) \ 1 = z. x * ((x \ T(x,y)) * T(1 / x,T(x,y))) = (1 / x) * (x * (x \ T(x,y))). x * ((x \ T(x,y)) * (x \ 1)) = (1 / x) * (x * (x \ T(x,y))). (1 / x) * (x * (x \ T(x,y))) = x * ((x \ T(x,y)) * (x \ 1)). (1 / x) * (x * (x \ T(x,y))) = x * ((x \ 1) * (x \ T(x,y))). (1 / x) * (x * (x \ T(x,y))) = L(x \ T(x,y),x \ 1,x). (1 / x) * T(x,y) = L(x \ T(x,y),x \ 1,x). L(x \ T(x,y),x \ 1,x) = (1 / x) * T(x,y). x != (1 / y) * T(y,z) | x = y \ T(y,z). L(x \ T(x,y),x \ 1,x) = x \ T(x,y). L(x \ (x * K(x,y)),x \ 1,x) = x \ T(x,R(y,x,(y * x) \ x)). L(K(x,y),x \ 1,x) = x \ T(x,R(y,x,(y * x) \ x)). x \ T(x,R(y,x,(y * x) \ x)) = L(K(x,y),x \ 1,x). x \ (x * K(x,y)) = L(K(x,y),x \ 1,x). L(K(x,y),x \ 1,x) = x \ (x * K(x,y)). L(K(x,y),x \ 1,x) = K(x,y). x * y != L(K(z,u),z \ 1,z) | x \ K(z,u) = y. x \ K(x,y) = (x \ 1) * K(x,y). (x \ 1) * K(x,y) = x \ K(x,y). K(x,y) * (x \ 1) = x \ K(x,y). x * y != (z \ 1) * K(z,u) | x \ (z \ K(z,u)) = y. K(x,y) \ (x \ K(x,y)) = x \ 1. x \ K(x,y) != z * K(x,y) | x \ 1 = z. K(x,y) \ (x \ K(x,y)) != z | z = x \ 1. K(x,y) \ (x \ K(x,y)) != z | x \ 1 = z. K(x,y) \ (x \ K(x,y)) != z * u | (x \ 1) / u = z. x != K(y,z) / (y \ 1) | x = y * K(y,z). T(R(x,y,z),R(x,y,z) / (R(x,y,z) * x)) = R(x,y,z) * K(R(x,y,z),x \ 1). x != T(y,y / (y * z)) | x = T(y,y / (z * y)). R(x,y,z) * K(R(x,y,z),x \ 1) = T(R(x,y,z),R(x,y,z) / (x * R(x,y,z))). T(R(x,y,z),R(x,y,z) / (x * R(x,y,z))) = R(x,y,z) * K(R(x,y,z),x \ 1). R(x,y,z) * K(R(x,y,z),x \ 1) = R(T(x,R(x,y,z) / (x * R(x,y,z))),y,z). R(T(x,R(x,y,z) / (x * R(x,y,z))),y,z) = R(x,y,z) * K(R(x,y,z),x \ 1). R((x \ 1) \ 1,y,z) = R(x,y,z) * K(R(x,y,z),x \ 1). R(x,y,z) * K(R(x,y,z),x \ 1) = R((x \ 1) \ 1,y,z). x * y != R((z \ u) \ u,w,v5) | x \ R(T(z,z \ u),w,v5) = y. R(x,y,z) \ R(T(x,x \ 1),y,z) = K(R(x,y,z),x \ 1). x != R(y,z,u) \ R(T(y,y \ 1),z,u) | x = a(R(y,z,u),1 / y,y). K(R(x,y,z),x \ 1) = a(R(x,y,z),1 / x,x). a(R(x,y,z),1 / x,x) = K(R(x,y,z),x \ 1). K(R(x,y,z),x \ 1) \ 1 = R(T(x,x \ 1),y,z) \ R(x,y,z). R(T(x,x \ 1),y,z) \ R(x,y,z) = K(R(x,y,z),x \ 1) \ 1. x != K(R(y,z,u),y \ 1) | x = y * ((y \ R(y,z,u)) / R(y,z,u)). a(R(x,y,z),1 / x,x) = x * ((x \ R(x,y,z)) / R(x,y,z)). x * ((x \ R(x,y,z)) / R(x,y,z)) = a(R(x,y,z),1 / x,x). x * L(x \ 1,R(x,y,z),1 / x) = a(R(x,y,z),1 / x,x). K(R(x,y,z),x \ 1) \ 1 != u | x * T(x \ 1,R(x,y,z)) = u. (((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1)) \ (x \ 1) = (x \ R(x,y,z)) / R(x,y,z). L(T(x,y),y,K(z,z \ 1)) = R(T(x,y * K(z,z \ 1)),y,K(z,z \ 1)). R(T(x,y * K(z,z \ 1)),y,K(z,z \ 1)) = L(T(x,y),y,K(z,z \ 1)). L(T(x,y),y,K(z \ 1,z)) = R(T(x,y * K(z \ 1,z)),y,K(z \ 1,z)). R(T(x,y * K(z \ 1,z)),y,K(z \ 1,z)) = L(T(x,y),y,K(z \ 1,z)). ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = L(1 / (y \ x),y \ x,y) * ((x \ y) \ 1). x != L(1 / (y \ z),y \ z,y) * ((z \ y) \ 1) | x = (z \ y) \ L(1 / (y \ z),y \ z,y). ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = (x \ y) \ L(1 / (y \ x),y \ x,y). ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = K(y \ x,((x \ y) * (y \ x)) / (y \ x)). ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = K(y \ x,x \ y). x != ((y \ z) \ 1) * ((((y \ z) \ 1) \ (z \ y)) / (z \ y)) | x = (y \ z) \ L(1 / (z \ y),z \ y,z). K(x \ y,y \ x) = (y \ x) \ L(1 / (x \ y),x \ y,x). (x \ y) \ L(1 / (y \ x),y \ x,y) = K(y \ x,x \ y). (x \ y) * K(y \ x,x \ y) = L(1 / (y \ x),y \ x,y). T(K(x \ 1,x),((y * x) / y) \ x) = K(x \ (((y * x) / y) \ x),x). x != T(K(y \ 1,y),z) | x = K(y \ 1,y). K(x \ (((y * x) / y) \ x),x) = K(x \ 1,x). (x * 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) != z | K(x / y,(x / y) \ 1) = z. 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 * (y * z)) * ((u * ((x * (y * z)) \ (x * y))) / u) = (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)). x * ((y * z) * ((u * ((y * z) \ y)) / 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 * ((y * z) / ((u * y) * z))) / x) * ((u * y) * z) = (((x * (1 / R(u,y,z))) / x) * R(u,y,z)) * (y * z). (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((x * ((z * u) / ((y * z) * u))) / x) * ((y * z) * u). (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((y * z) * u) * ((x * (((y * z) * u) \ (z * u))) / x). x != (y * z) * ((u * ((y * z) \ (w * z))) / u) | x = (y * ((u * (y \ w)) / u)) * z. (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((y * z) * ((x * ((y * z) \ z)) / x)) * u. (R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u)) * (y * z) = ((x * y) * ((u * ((x * y) \ y)) / u)) * z. (R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u)) * (y * z) = ((x * ((u * (x \ 1)) / u)) * y) * z. x * (y * z) != (u * y) * z | x = R(u,y,z). R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u) = R(x * ((u * (x \ 1)) / u),y,z). K(x,(x / R(y,z,u)) / x) = R(y * ((x * (y \ 1)) / x),z,u). R(x * ((y * (x \ 1)) / y),z,u) = K(y,(y / R(x,z,u)) / y). R(x,y,z) * (1 / R(x,y,z)) = R(x * ((R(x,y,z) * (x \ 1)) / R(x,y,z)),y,z). R(x * ((R(x,y,z) * (x \ 1)) / R(x,y,z)),y,z) = R(x,y,z) * (1 / R(x,y,z)). R(x * ((R(x,y,z) * (x \ 1)) / R(x,y,z)),y,z) = K(R(x,y,z),R(x,y,z) \ 1). R(x * ((x \ R(x,y,z)) / R(x,y,z)),y,z) = K(R(x,y,z),R(x,y,z) \ 1). R(K(R(x,y,z),x \ 1),y,z) = K(R(x,y,z),R(x,y,z) \ 1). (((x * y) * z) * R(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * R(R(x,y,z) \ 1,u,w). (((x * y) * R((x * y) \ y,z,u)) * w) / (y * w) = R(x,y,w) * R(R(x,y,w) \ 1,z,u). (((x * R(x \ 1,y,z)) * u) * w) / (u * w) = R(x,u,w) * R(R(x,u,w) \ 1,y,z). R(x * R(x \ 1,y,z),u,w) = R(x,u,w) * R(R(x,u,w) \ 1,y,z). R(x,y,z) * R(R(x,y,z) \ 1,u,w) = R(x * R(x \ 1,u,w),y,z). (x * 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 / x) = L(x * T(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) * ((1 / x) * (L(x,y,z) \ x)) = L(x * T(1 / x,1),y,z). L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(x * (1 / x),y,z). L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(K(x,x \ 1),y,z). L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)) = L(x * L(x \ 1,L(x,y,z),1 / x),y,z). L(x * L(x \ 1,L(x,y,z),1 / x),y,z) = L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)). L(K(L(x,y,z),1 / x),y,z) = L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)). L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)) = L(K(L(x,y,z),1 / x),y,z). x != L(K(L(y,z,u),1 / y),z,u) | x = K(L(y,z,u),L(y,z,u) \ 1). L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)) = K(L(x,y,z),L(x,y,z) \ 1). (L(x,y,z) / x) \ (1 / x) = 1 / L(x,y,z). x != (L(y,z,u) / y) \ (1 / y) | x = L(1 / (1 / y),z,u) \ 1. 1 / L(x,y,z) = L(1 / (1 / x),y,z) \ 1. L(1 / (1 / x),y,z) \ 1 = 1 / L(x,y,z). 1 / (1 / L(x,y,z)) = L(1 / (1 / x),y,z). L(1 / (1 / x),y,z) = 1 / (1 / L(x,y,z)). L(1 / x,y,z) \ 1 = 1 / L(x \ 1,y,z). 1 / L(x \ 1,y,z) = L(1 / x,y,z) \ 1. L(1 / x,y,z) = 1 / (1 / L(x \ 1,y,z)). 1 / (1 / L(x \ 1,y,z)) = L(1 / x,y,z). T(1 / (1 / L(x,y,z)),1 / x) = L((1 / x) \ 1,y,z). (L(1 / x,y,z) \ 1) \ 1 = L(x \ 1,y,z). 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)). L(L(1 / x,y,z),u,w) = 1 / (1 / L(L(x \ 1,y,z),u,w)). 1 / (1 / L(L(x \ 1,y,z),u,w)) = L(L(1 / x,y,z),u,w). 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. x != L(1 / (y \ z),y \ z,y) | x = (z \ y) * K(y \ z,z \ y). 1 / (1 / (x \ y)) = (x \ y) * K(y \ x,x \ y). (x \ y) * K(y \ x,x \ y) = 1 / (1 / (x \ y)). x != L(1 / (y \ z),y \ z,y) | x = L(z \ y,y \ z,z \ y). 1 / (1 / (x \ y)) = L(x \ y,y \ x,x \ y). L(x \ y,y \ x,x \ y) = 1 / (1 / (x \ y)). x * (1 / (1 / (x \ y))) = y * K(y \ x,(y \ x) \ 1). x * K(x \ y,(x \ y) \ 1) = y * (1 / (1 / (y \ x))). x * y != 1 / (1 / x) | y = K(1 / x,x). K(x \ y,y \ x) = K(1 / (y \ x),y \ x). K(1 / (x \ y),x \ y) = K(y \ x,x \ y). x * y != 1 / (1 / x) | y = K(x \ 1,x). K(x \ y,y \ x) = K((y \ x) \ 1,y \ x). K((x \ y) \ 1,x \ y) = K(y \ x,x \ y). K((1 / x) * y,y \ x) = K(x \ y,y \ x). K(x \ y,y \ x) / (y \ x) = (y \ x) \ 1. K(((x * y) \ x) \ 1,(x * y) \ x) = K(y,(x * y) \ x). x * K(y \ x,x \ y) = y * (((y \ x) \ 1) \ 1). K(x * y,y \ (x \ 1)) = K((x \ 1) \ y,y \ (x \ 1)). K((x \ 1) \ y,y \ (x \ 1)) = K(x * y,y \ (x \ 1)). T(1 / (1 / L(x,y,z)),1 / x) = L(x,y,z). T(L(x,y,z),u) = T(T(1 / (1 / L(x,y,z)),u),1 / x). T(T(1 / (1 / L(x,y,z)),u),1 / x) = T(L(x,y,z),u). x * K(x \ y,y \ x) = y * (1 / (1 / (y \ x))). (x / y) * K(y,y \ 1) = x * (1 / (1 / (x \ (x / y)))). x != K(((y * z) \ y) \ 1,(y * z) \ y) | x = L(K(z,z \ 1),z,y). K(x,(y * x) \ y) = L(K(x,x \ 1),x,y). L(K(x,x \ 1),x,y) = K(x,(y * x) \ y). (x * y) * K(y,(x * y) \ x) = x * T(y,(x * y) \ x). x != K(y,(z * y) \ z) | x = K(y,y \ 1). L(K(x,x \ 1),x,y) = K(x,x \ 1). K((x * y) \ x,y) = K(y,(x * y) \ x) \ 1. K(x,(y * x) \ y) \ 1 = K((y * x) \ y,x). L(K(x \ 1,x),1 / x,y) = K(1 / x,(1 / x) \ 1). x != K(y,(z * y) \ z) \ 1 | x = K(y \ 1,y). K((x * y) \ x,y) = K(y \ 1,y). K(x \ (x / y),y) = K(y \ 1,y). K((x * y) \ y,T(x,y)) = K(T(x,y) \ 1,T(x,y)). K(T(x,y) \ 1,T(x,y)) = K((x * y) \ y,T(x,y)). K(((x * y) / x) \ T(x,y),T(y / x,T(x,y))) = K(T(y / x,T(x,y)) \ 1,T(y / x,T(x,y))). K(T(x / y,T(y,x)) \ 1,T(x / y,T(y,x))) = K(((y * x) / y) \ T(y,x),T(x / y,T(y,x))). K(T(x,y) \ 1,T(x,y)) = K((x * y) \ y,y \ (x * y)). K((x * y) \ y,y \ (x * y)) = K(T(x,y) \ 1,T(x,y)). x != K(1 / y,(1 / y) \ 1) | x = K(y \ 1,y). L(K(x \ 1,x),1 / x,y) = K(x \ 1,x). (x * (y \ 1)) / K(y \ 1,y) = x * (1 / y). R(x,y \ 1,y) / y = x * (1 / y). x / (1 / y) = (x * K(y \ 1,y)) / (y \ 1). (x * K(y \ 1,y)) / (y \ 1) = x / (1 / y). (x * (1 / y)) * K(y \ 1,y) = x * (y \ 1). (x * (1 / y)) * y = R(x,y \ 1,y). R(x,y \ 1,y) = R(x,1 / y,y). R(x,1 / y,y) = R(x,y \ 1,y). x * y = R(x / (1 / y),y \ 1,y). R(x / (1 / y),y \ 1,y) = x * y. x != R(T(y / (1 / z),u),1 / z,z) | x = T(y * z,u). R(T(x / (1 / y),z),y \ 1,y) = T(x * y,z). ((1 / x) * K(y,x)) * x = R(K(y,x),x \ 1,x). (x / (1 / y)) * (y \ 1) = x * K(y \ 1,y). K(x \ 1,x) * (y * (1 / x)) = y * (x \ 1). R(x,1 / y,K(y \ 1,y)) = x. R(x,1 / (1 / y),K(y,y \ 1)) = x. x != R(y / (1 / (1 / z)),1 / (1 / z),K(z,z \ 1)) | x = (y * K(z,z \ 1)) / z. x / (1 / (1 / y)) = (x * K(y,y \ 1)) / y. (x * K(y,y \ 1)) / y = x / (1 / (1 / y)). x * y = (x * (1 / (1 / y))) * K(y,y \ 1). (x * (1 / (1 / y))) * K(y,y \ 1) = x * y. x != (y / (z / u)) * (u \ z) | x = (y * (u \ z)) / (z / u). x * K(y \ 1,y) = (x * (y \ 1)) / (1 / y). (x * (y \ 1)) / (1 / y) = x * K(y \ 1,y). x != ((y / (z \ u)) / (u / z)) * (z \ u) | x = y / (u / z). (x / (y \ 1)) * K(y \ 1,y) = x / (1 / y). x != (y * K(z,z \ 1)) / z | x = (y / z) * K(z,z \ 1). x / (1 / (1 / y)) = (x / y) * K(y,y \ 1). (x / y) * K(y,y \ 1) = x / (1 / (1 / y)). x * y != z * K(y,y \ 1) | x * (1 / (1 / y)) = z. x * K(y,y \ 1) != z * y | z * (1 / (1 / y)) = x. (x * K(y \ 1,y)) * (1 / y) = x * (y \ 1). R(x * K(y \ 1,y),y \ 1,y) = (x * (y \ 1)) * y. K(x \ 1,x) * (y / (x \ 1)) = y / (1 / x). R(((x / (1 / y)) \ 1) \ 1,y \ 1,y) = T(x * y,x \ (1 / y)). T(x * y,x \ (1 / y)) = R(((x / (1 / y)) \ 1) \ 1,y \ 1,y). ((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. R(((x \ (x / (y \ 1))) * x) * K(y \ 1,y),y \ 1,y) = (x * ((y \ 1) * T((y \ 1) \ 1,x))) * y. x * y != K((z \ 1) \ u,u \ (z \ 1)) | x \ K(z * u,u \ (z \ 1)) = y. ((x \ 1) \ y) \ K(x * y,y \ (x \ 1)) = 1 / ((x \ 1) \ y). x != (y / z) * K(z,z \ 1) | x = y / (1 / (1 / z)). 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 / (1 / (1 / y))) / x = 1 / (1 / ((x / y) / x)). 1 / (1 / (x \ (x / (y \ 1)))) = x \ (x / (1 / y)). (x \ (x / (1 / (1 / y)))) \ 1 = 1 / (x \ (x / y)). x / (1 / (1 / ((x * y) \ x))) = x * (1 / (1 / y)). (x * (1 / (1 / (x \ y)))) \ x = 1 / (1 / (y \ x)). (x / (1 / y)) / x = 1 / (1 / ((x / (y \ 1)) / x)). 1 / (1 / ((x / (y \ 1)) / x)) = (x / (1 / y)) / x. (x \ (x / y)) \ 1 = 1 / (x \ (x / ((y \ 1) \ 1))). 1 / (x \ (x / ((y \ 1) \ 1))) = (x \ (x / y)) \ 1. x / L(y,y \ 1,x) = x * (1 / (1 / (y \ 1))). x / L(y,y \ 1,x) = x * (1 / y). (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 != 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). K(x \ 1,y) = K(1 / x,y). K(1 / x,y) = K(x \ 1,y). L((1 / x) * T((1 / x) \ 1,y),x,y) = K(1 / (1 / x),y). K(1 / x,y) != z | K(x \ 1,y) = z. x != K((y / z) \ y,u) | x = K(z,u). K(1 / (1 / x),y) = K(x,y). K(x,y) = K((x \ 1) \ 1,y). K((x \ 1) \ 1,y) = K(x,y). K(T(1 / x,y) \ 1,z) = K(T(x \ 1,y) \ 1,z). K(L(1 / x,y,z),u) = K(L(x \ 1,y,z),u). K(T(x,x \ 1),y) = K(x,y). (x * K(x \ y,y \ x)) \ y = 1 / (1 / (x \ y)). ((x / (1 / y)) / x) \ 1 = 1 / ((x / (y \ 1)) / x). 1 / ((x / (y \ 1)) / x) = ((x / (1 / y)) / x) \ 1. ((x \ (x / y)) \ 1) \ 1 = x \ (x / ((y \ 1) \ 1)). x * (((x \ (x / y)) \ 1) \ 1) = 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). T(x \ (x / (1 / y)),1 / y) = x \ (x / (y \ 1)). x * (y \ (y / ((x \ 1) \ 1))) = (y \ (y / x)) * x. (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). (1 / (x * y)) \ (y \ 1) = 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 / T(y,y \ 1)) * y = x * K(y \ 1,y). x * y = (x * T(y,y \ 1)) * K(y \ 1,y). (x * T(y,y \ 1)) * K(y \ 1,y) = x * y. (x \ 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 != z * ((y \ 1) \ 1) | x * K(y \ 1,y) = z. x * ((y \ 1) \ 1) != z * y | z * K(y \ 1,y) = x. (K(x \ 1,x) * y) * ((x \ 1) \ 1) = y * x. (x * (y \ 1)) * ((y \ 1) \ 1) = R(x,y \ 1,y). (x \ K(y,x)) * x = K(y,x) * K(x \ 1,x). K(x,y) * K(y \ 1,y) = (y \ K(x,y)) * y. K(x \ 1,x) * (y * T(x,x \ 1)) = y * x. x * y != z * ((y \ 1) \ 1) | K(y \ 1,y) * x = z. x * ((y \ 1) \ 1) != z * y | K(y \ 1,y) * z = x. K(x \ 1,x) * K(y,x) = (x \ K(y,x)) * x. (x \ 1) * ((y \ 1) \ 1) = R(x \ y,y \ 1,y). R(x \ y,y \ 1,y) = (x \ 1) * ((y \ 1) \ 1). R(T(x,y) \ x,x \ 1,x) != z | T(x,y) \ x = z. x * (((x \ y) \ 1) \ 1) = x / (((y \ x) \ 1) \ 1). x / (((y \ x) \ 1) \ 1) = x * (((x \ y) \ 1) \ 1). (x * y) * K(y,y \ 1) = x * T(y,(x * y) \ x). (x * y) * K(y,y \ 1) = x * ((y \ 1) \ 1). (x * y) * K(y,y \ 1) = x * T(y,y \ 1). K(x,x \ 1) * (y * x) = y * ((x \ 1) \ 1). x * K(y,y \ 1) = (x / y) * ((y \ 1) \ 1). (x / y) * ((y \ 1) \ 1) = x * K(y,y \ 1). x != (y * z) * K(z,z \ 1) | x = (y * K(z,z \ 1)) * z. x * ((y \ 1) \ 1) = (x * K(y,y \ 1)) * y. (x * K(y,y \ 1)) * y = x * ((y \ 1) \ 1). (x * y) * K(T(x,y),T(x,y) \ 1) = y * ((T(x,y) \ 1) \ 1). K(x,x \ 1) * (y * x) = y * T(x,x \ 1). x * K(y,y \ 1) = (x / y) * T(y,y \ 1). (x / y) * T(y,y \ 1) = x * K(y,y \ 1). (K(x,x \ 1) * y) * x = y * ((x \ 1) \ 1). (x / T(y,z)) * T((y \ 1) \ 1,z) = x * K(T(y,z),T(y,z) \ 1). x * y != (T(z,u) \ 1) * ((z \ 1) \ 1) | (T(z,u) \ z) / y = x. (T(x,y) \ x) / x = (T(x,y) \ 1) * K(x,x \ 1). (T(x,y) \ 1) * K(x,x \ 1) = (T(x,y) \ x) / x. x * y != (z / 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 != (K(y \ 1,y) * z) * ((y \ 1) \ 1) | x = z. (K(x \ 1,x) * y) * K(x,x \ 1) = y. x * y != (z * K(y \ 1,y)) * ((y \ 1) \ 1) | x = z. (x * K(y \ 1,y)) * K(y,y \ 1) = x. K(x \ 1,x) * (y * K(x,x \ 1)) = y. (x * K(y,y \ 1)) * K(y \ 1,y) = x. x * (1 / (1 / y)) = K(y \ 1,y) * (x * y). K(x \ 1,x) * (y * x) = y * (1 / (1 / x)). K(x,x \ 1) * (K(x \ 1,x) * y) = y. (K(x \ 1,x) * y) \ y = K(x,x \ 1). x * K(y,y \ 1) != K(y,y \ 1) * z | x = z. K(x \ 1,x) * (K(x,x \ 1) * y) = y. x * K(y,y \ 1) != z / (y * z) | x = R(y \ 1,y,z). K(x \ 1,x) * (y / (x * y)) = R(x \ 1,x,y). x != y * K(z,z \ 1) | K(z \ 1,z) * x = y. x * K(y,y \ 1) != z | K(y \ 1,y) * z = x. ((x \ 1) * (x * y)) * K(x,x \ 1) = L(y,x,x \ 1). K(x,x \ 1) * y != z | K(x \ 1,x) * z = y. (x * (y \ 1)) * K(y,y \ 1) = x * (1 / y). (x / (1 / y)) * K(y,y \ 1) = x / (y \ 1). x * (1 / (1 / y)) = (x * y) * K(y \ 1,y). (x * y) * K(y \ 1,y) = x * (1 / (1 / y)). K(x,x \ 1) * (y * K(x \ 1,x)) = y. (x / y) * y = (x * K(z,z \ 1)) * K(z \ 1,z). x * K(y,y \ 1) != z / (1 / (1 / y)) | x = z / y. (x / (1 / (1 / y))) * K(y \ 1,y) = x / y. (K(x,x \ 1) * y) * K(x \ 1,x) = y. K(x,x \ 1) * y != z | z * K(x \ 1,x) = y. x != K(y \ 1,y) * z | x * K(y,y \ 1) = z. K(x \ 1,x) * y != z | z * K(x,x \ 1) = y. R((x * K(y,y \ 1)) / z,z,K(y \ 1,y)) = x / (z * K(y \ 1,y)). K(x,x \ 1) * y = K(x \ 1,x) \ y. K(x \ 1,x) \ y = K(x,x \ 1) * y. K(x,x \ 1) * (y * (x \ 1)) = y * (1 / x). K(x,x \ 1) * (y / (1 / x)) = y / (x \ 1). x != K(y \ 1,y) * z | K(y,y \ 1) * x = z. K(x \ 1,x) * y != z | K(x,x \ 1) * z = y. x != y * K(z \ 1,z) | y = K(z,z \ 1) * x. y * K(z \ 1,z) != x | y = K(z,z \ 1) * x. x * K(y \ 1,y) != z | K(y,y \ 1) * z = x. R((K(x,x \ 1) * y) / z,z,K(x \ 1,x)) = y / (z * K(x \ 1,x)). K(x \ 1,x) * T(K(x,x \ 1) * y,z) = (x \ T(x * (y / x),z)) * x. K(x \ 1,x) * R(K(x,x \ 1) * (y * x),z,u) = (x \ R(x * y,z,u)) * x. K(x \ 1,x) * L(K(x,x \ 1) * (y * x),z,u) = (x \ L(x * y,z,u)) * x. (x \ K(y,x)) * K(x,x \ 1) = K(y,x) / x. K(x \ 1,x) * (y * T(x,z)) = y * (1 / (1 / T(x,z))). 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). R(x,y,1 / y) != z | R(x,y,y \ 1) = z. R(x,1 / y,1 / (1 / y)) = R(x,1 / y,y). x * y != (z / (1 / (1 / u))) * K(u \ 1,u) | (z / u) / y = x. (x / y) / (y \ 1) = (x / (1 / (1 / y))) / (1 / y). (x / (1 / (1 / y))) / (1 / y) = (x / y) / (y \ 1). K(x,x \ 1) * (y \ 1) = (y \ x) * (1 / x). K(1 / T(x,y),(1 / T(x,y)) \ 1) * (z / T(1 / (1 / x),y)) = z / ((1 / T(x,y)) \ 1). 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 != R(y,1 / z,z) | x = R(y,z \ 1,z). R(x,1 / y,1 / (1 / y)) = R(x,y \ 1,y). R(x,1 / y,(1 / y) \ 1) = R(x,y \ 1,y). x * (y / (z * y)) != R(z \ 1,z,y) | x = K(y / (z * y),z). K(x \ 1,x) = K(y / (x * y),x). K(x / (y * x),y) = K(y \ 1,y). K(x / y,y / x) = K((y / x) \ 1,y / x). K((x / y) \ 1,x / y) = K(y / x,x / y). K((x / (y * x)) \ 1,x / (y * x)) = K(y,x / (y * x)). K((x / y) \ 1,x / y) != z | K(y / x,(y / x) \ 1) = z. (T(x,y) \ 1) * z != (T(x,y) \ x) / x | z = K(x,T(x,y) \ 1). K(x,x \ 1) = K(x,T(x,y) \ 1). K(x,T(x,y) \ 1) = K(x,x \ 1). x != K(y,y \ 1) | x = T(K(y,y \ 1),z). K(x,T(x,y) \ 1) = T(K(x,x \ 1),z). T(K(x,x \ 1),y) = K(x,T(x,z) \ 1). T(K(T(x,y),1 / x),z) = K(T(x,y),T(T(x,y),u) \ 1). x != K(T(y,z) \ 1,T(y,u)) | x = K(y \ 1,y). K((x * y) \ y,y \ (x * y)) = K(x \ 1,x). x * K(y \ 1,y) = (y * x) * ((((y * x) \ x) \ 1) \ 1). (x * y) * ((((x * y) \ y) \ 1) \ 1) = y * K(x \ 1,x). ((x * y) * K(x \ 1,x)) \ y = 1 / (1 / ((x * y) \ y)). K(x \ 1,x) * (y * T(x,z)) = y * T(1 / (1 / x),z). x != K(y,z / (y * z)) | x = K(y,y \ 1). K((x / (y * x)) \ 1,x / (y * x)) = K(y,y \ 1). K(x,x \ 1) * (x * y) = T(x,x \ 1) * y. (x * y) * K(x,x \ 1) = T(x,x \ 1) * y. T(x,x \ 1) \ (K(x,x \ 1) * y) = x \ y. K(x,x \ 1) * (x * y) = ((x \ 1) \ 1) * y. L(x,y,K(y,y \ 1)) = x. 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 \ z,y,K(y,y \ 1)) | x = K(y,y \ 1) * (((y \ 1) \ 1) \ z). x \ y = K(x,x \ 1) * (((x \ 1) \ 1) \ y). K(x,x \ 1) * (((x \ 1) \ 1) \ y) = x \ y. x != L(y,1 / (1 / z),K(1 / (1 / z),(1 / (1 / z)) \ 1)) | x = L(y,K(z,z \ 1),1 / (1 / z)). x = L(x,K(y,y \ 1),1 / (1 / y)). L(x,K(y,y \ 1),1 / (1 / y)) = x. L(x,1 / y,K(y \ 1,y)) = x. x != L((1 / y) \ z,1 / y,K(y \ 1,y)) | x = K(y \ 1,y) * ((y \ 1) \ z). (1 / x) \ y = K(x \ 1,x) * ((x \ 1) \ y). K(x \ 1,x) * ((x \ 1) \ y) = (1 / x) \ y. 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. x * y = (1 / (1 / x)) * (K(x,x \ 1) * y). (1 / (1 / x)) * (K(x,x \ 1) * y) = x * y. x != L((1 / (1 / y)) \ z,1 / (1 / y),K(y,y \ 1)) | x = y \ (K(y,y \ 1) * z). (1 / (1 / x)) \ y = x \ (K(x,x \ 1) * y). x \ (K(x,x \ 1) * y) = (1 / (1 / x)) \ y. x * y = K(x,x \ 1) * ((1 / (1 / x)) * y). K(x,x \ 1) * ((1 / (1 / x)) * y) = x * y. L(x,y,y \ 1) = (1 / y) * (y * x). (1 / x) * (x * y) = L(y,x,x \ 1). L(T(x,y),y,y \ 1) = (1 / y) * (x * y). L((x \ 1) * y,x,x \ 1) = (1 / x) * L(y,x \ 1,x). x * ((1 / x) * (y * x)) = L(y,x,x \ 1) * x. T(x,(1 / x) * y) = T(x,(x \ 1) * y). (1 / x) \ L(y,x,x \ 1) = x * y. L(x,y,y \ 1) \ ((1 / y) * (x * y)) = L(K(x,y),y * x,1 / y). (1 / (1 / x)) \ L(y,1 / x,x) = (1 / x) * y. (1 / x) * (x * y) != z | z = L(y,x,x \ 1). (1 / x) * (x * y) != z | L(y,x,x \ 1) = z. 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 * y) * K(x,x \ 1) = ((x \ 1) \ 1) * y. x != (y * z) * K(y,y \ 1) | x = y * (z * K(y,y \ 1)). T(x,x \ 1) * y = x * (y * K(x,x \ 1)). x * (y * K(x,x \ 1)) = T(x,x \ 1) * y. ((x \ 1) \ 1) \ (K(x,x \ 1) * y) = x \ y. ((x \ 1) \ 1) * (x \ y) = K(x,x \ 1) * y. T(x,x \ 1) \ y = x \ (y * K(x \ 1,x)). x \ (y * K(x \ 1,x)) = T(x,x \ 1) \ y. K(x \ 1,x) * (((x \ 1) \ 1) * y) = x * y. x * y != T(x,x \ 1) * T(x \ 1,z) | y = T(1 / x,z). K(x,x \ 1) * T(x \ 1,y) = T(1 / x,y). R(x,K(x,x \ 1),y) = x. R(1 / x,K(x \ 1,x),y) = 1 / x. (1 / x) * T(R(1 / x,K(x \ 1,x),y) \ 1,z) = R((1 / x) * T((1 / x) \ 1,z),K(x \ 1,x),y). R((1 / x) * T((1 / x) \ 1,y),K(x \ 1,x),z) = (1 / x) * T(R(1 / x,K(x \ 1,x),z) \ 1,y). (x \ y) * K(x \ 1,x) = ((x \ 1) \ 1) \ y. K(x \ 1,x) * (x \ y) = ((x \ 1) \ 1) \ y. (((x \ 1) \ 1) \ y) * K(x,x \ 1) = x \ y. (x \ y) * x = (((x \ 1) \ 1) \ y) * ((x \ 1) \ 1). (((x \ 1) \ 1) \ y) * ((x \ 1) \ 1) = (x \ y) * x. K(x,x \ 1) * ((1 / x) \ y) = (x \ 1) \ y. ((1 / x) \ y) * K(x,x \ 1) = (x \ 1) \ y. ((x \ 1) \ y) * K(x \ 1,x) = (1 / x) \ 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(x,x \ 1) * ((x \ 1) * y) = (1 / x) * y. ((x \ 1) * y) * K(x,x \ 1) = (1 / x) * y. ((1 / x) * y) * K(x \ 1,x) = (x \ 1) * y. R(x,K(y \ 1,y),(1 / y) * z) = ((x * K(y \ 1,y)) * ((1 / y) * z)) / ((y \ 1) * z). ((x * K(y \ 1,y)) * ((1 / y) * z)) / ((y \ 1) * z) = R(x,K(y \ 1,y),(1 / y) * z). ((x \ 1) * y) / L(T(1 / x,y),y,K(x \ 1,x)) = K(x \ 1,x) * y. ((x \ 1) * y) \ (K(x \ 1,x) * ((1 / x) * (y * z))) = L(L(z,y,1 / x),(1 / x) * y,K(x \ 1,x)). K(x \ 1,x) * K(y,x) = (x \ 1) * (x * K(y,x)). x * y != z * (z \ u) | x \ u = y. (1 / (1 / x)) \ y = K(x,x \ 1) * (x \ y). K(x,x \ 1) * (x \ y) = (1 / (1 / x)) \ y. (1 / (1 / x)) * y = x * (K(x \ 1,x) * y). x * (K(x \ 1,x) * y) = (1 / (1 / x)) * y. x * ((1 / (1 / x)) \ y) = K(x,x \ 1) * y. (x * y) * K(x \ 1,x) = (1 / (1 / x)) * y. K(x,x \ 1) * ((y \ (1 / (1 / x))) * y) = x * K(y \ (1 / (1 / x)),y). ((x \ 1) \ 1) * y = x * (y * K(x,x \ 1)). x * (y * K(x,x \ 1)) = ((x \ 1) \ 1) * y. ((x \ 1) \ 1) \ y = x \ (K(x \ 1,x) * y). x \ (K(x \ 1,x) * y) = ((x \ 1) \ 1) \ y. x * y = ((x \ 1) \ 1) * (K(x \ 1,x) * y). ((x \ 1) \ 1) * (K(x \ 1,x) * y) = x * y. x * y != z * K(x \ 1,x) | z = ((x \ 1) \ 1) * y. z * K(x \ 1,x) != x * y | z = ((x \ 1) \ 1) * y. x * K(y \ 1,y) != y * z | ((y \ 1) \ 1) * z = x. x * K(y \ 1,y) = ((y \ 1) \ 1) \ (y * x). ((x \ 1) \ 1) \ (x * y) = y * K(x \ 1,x). x != K(y \ 1,y) * (y \ z) | x = z * T(z \ (y \ z),y). ((x \ 1) \ 1) \ y = y * T(y \ (x \ y),x). x * T(x \ (y \ x),y) = ((y \ 1) \ 1) \ x. ((x \ 1) \ 1) \ y != z | (x \ y) * K(x \ 1,x) = z. K(x \ 1,x) * (T(x,y) \ z) = ((T(x,y) \ 1) \ 1) \ z. x * 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) * y = (x \ 1) \ ((1 / x) * y). (x \ 1) \ ((1 / x) * y) = K(x,x \ 1) * y. x != (1 / y) \ K(z,y) | x = y * K(z,y). ((x \ 1) \ K(y,x)) * K(x \ 1,x) = x * K(y,x). ((1 / x) \ y) * (1 / x) = ((x \ 1) \ y) * (x \ 1). (1 / x) * (K(x \ 1,x) * y) = (x \ 1) * y. x != K(y \ 1,y) * z | x = z * K(y \ 1,y). (x \ 1) * ((1 / x) \ y) = y * K(x \ 1,x). (x \ 1) * (x * ((y * (x \ z)) / y)) = K(x \ 1,x) * ((y * ((1 / x) * z)) / y). K(x \ 1,x) * ((y * ((1 / x) * z)) / y) = (x \ 1) * (x * ((y * (x \ z)) / y)). x \ L(y,1 / x,x) = (x \ 1) * y. (x * ((1 / y) * z)) / L((y \ 1) * z,K(y,y \ 1),x) = x * K(y,y \ 1). (x * K(y,y \ 1)) \ (x * ((1 / y) * z)) != u | L((y \ 1) * z,K(y,y \ 1),x) = u. L(x,1 / y,y) = L(x,y \ 1,y). L(x,y,y \ 1) = L(x,(y \ 1) \ 1,y \ 1). L(x,(y \ 1) \ 1,y \ 1) = L(x,y,y \ 1). L(x,T(y,y \ z) \ 1,T(y,y \ z)) != u | L(x,1 / T(y,y \ z),(y \ z) \ z) = u. x * y != ((z \ 1) * u) * K(z,z \ 1) | ((1 / z) * u) / y = x. ((1 / x) * y) / (1 / x) = ((x \ 1) * y) / (x \ 1). (x \ y) * K(x,x \ 1) = (1 / (1 / x)) \ y. K(x,1 / x) * (x \ y) = (1 / (1 / x)) \ y. ((1 / (1 / x)) \ y) * x = (x \ y) * ((x \ 1) \ 1). K(x \ 1,x) * y = (1 / (1 / x)) * (x \ y). (1 / (1 / x)) * (x \ y) = K(x \ 1,x) * y. T(x,y) * (K(x \ 1,x) * z) = (1 / (1 / T(x,y))) * z. x * ((x \ K(y,x)) * x) = (1 / (1 / x)) * K(y,x). (1 / (1 / x)) * K(y,x) = x * ((x \ K(y,x)) * x). x * (1 / ((y \ 1) * x)) = K(x,x \ 1) * y. x * K(y \ 1,y) = (1 / (1 / y)) * (y \ x). (1 / (1 / x)) * (x \ y) = y * K(x \ 1,x). ((x \ y) * z) * K(y \ x,x \ y) = (1 / (1 / (x \ y))) * z. ((1 / (1 / x)) * y) * (1 / x) = (x * y) * (x \ 1). (x \ 1) \ (K(x,x \ 1) * y) = (((x \ 1) \ 1) \ 1) \ y. x * (((x \ (y \ x)) \ 1) \ 1) = ((y \ 1) \ 1) \ x. (1 / x) * y = (x \ 1) * (K(x,x \ 1) * y). (x \ 1) * (K(x,x \ 1) * y) = (1 / x) * y. L(K(x,x \ 1) * y,x \ 1,x) = x * ((1 / x) * y). x != y * (K(z \ 1,z) * u) | x = y * (u * K(z \ 1,z)). (x \ 1) * y = (1 / x) * (y * K(x \ 1,x)). (1 / x) * (y * K(x \ 1,x)) = (x \ 1) * y. (1 / x) * y = (x \ 1) * (y * K(x,x \ 1)). (x \ 1) * (y * K(x,x \ 1)) = (1 / x) * y. (x \ 1) * (x / y) = (1 / y) * K(x \ 1,x). (1 / x) * K(y \ 1,y) = (y \ 1) * (y / x). (x \ 1) * y = L(((x \ 1) \ 1) \ y,x,x \ 1). L(((x \ 1) \ 1) \ y,x,x \ 1) = (x \ 1) * y. x * y != (z \ u) * K(z,z \ 1) | ((1 / (1 / z)) \ u) / y = x. ((1 / (1 / x)) \ y) / (1 / x) = (x \ y) / (x \ 1). x != K(y \ 1,y) * (z * y) | x = z * (1 / (1 / y)). (1 / (1 / x)) * (x \ (y * x)) = y * (1 / (1 / x)). (1 / x) * (y * K(1 / x,x)) = (x \ 1) * y. (1 / x) * (T(x,y) \ x) = (x \ 1) * (x * (1 / T(x,y))). (x \ 1) * (x * (1 / T(x,y))) = (1 / x) * (T(x,y) \ x). (x \ 1) * (y * K(x,1 / x)) = (1 / x) * y. (x \ 1) * y != (1 / x) * (z * K(1 / x,x)) | y = z. (x * K(1 / y,y)) * K(y,1 / y) = x. x / K(y,1 / y) = x * K(1 / y,y). (((L(x,y,y \ 1) * y) / y) \ ((1 / y) * (x * y))) * ((y * ((1 / y) * (x * y))) / y) = (1 / y) * (x * y). L(x * K(y \ 1,y),y,y \ 1) = (y \ 1) * (y * x). (((x \ 1) \ 1) \ y) * ((x \ 1) \ 1) != y * z | K(x \ y,x) = z. x * ((x \ K(y,x)) * x) != z * K(y,x) | 1 / (1 / x) = z. x * K(y,z) != z * ((z \ K(y,z)) * z) | 1 / (1 / z) = 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 \ (((y \ 1) \ 1) \ x) = ((x \ (y \ x)) \ 1) \ 1. ((x \ (y \ x)) \ 1) \ 1 = x \ (((y \ 1) \ 1) \ x). x * y != z * (((z \ (u \ z)) \ 1) \ 1) | (((u \ 1) \ 1) \ z) / y = x. (((x \ 1) \ 1) \ y) / y = (((x \ y) / y) \ 1) \ 1. x * (((x \ y) \ 1) \ 1) = (((x / y) \ 1) \ 1) \ x. (((x / y) \ 1) \ 1) \ x = x * (((x \ y) \ 1) \ 1). ((x * y) * z) * (((((x * y) * z) \ (y * z)) \ 1) \ 1) = ((R(x,y,z) \ 1) \ 1) \ ((x * y) * z). T(x / (1 / (1 / y)),1 / (1 / y)) / (1 / y) = (y \ x) / (y \ 1). (1 / (1 / x)) * T(y,x) = y * (1 / (1 / x)). T(x,y) = T(x,1 / (1 / y)). T(x,1 / (1 / y)) = T(x,y). T(x,1 / y) = T(x,y \ 1). T(x,y) = T(x,(y \ 1) \ 1). T(x,(y \ 1) \ 1) = T(x,y). x != T(y * z,y \ 1) | x = y * (((y \ 1) \ z) * (y \ 1)). T(x * y,1 / x) = x * (((x \ 1) \ y) * (x \ 1)). x * (((x \ 1) \ y) * (x \ 1)) = T(x * y,1 / x). (1 / x) * T(y,x \ 1) = y * (1 / x). ((x \ 1) \ 1) * T(y,x) = y * ((x \ 1) \ 1). ((x \ 1) \ y) / y = ((((1 / x) \ y) / y) \ 1) \ 1. ((((1 / x) \ y) / y) \ 1) \ 1 = ((x \ 1) \ y) / y. x / (x * (((x \ y) \ 1) \ 1)) = ((x / y) \ 1) \ 1. x * (((1 / x) \ y) * (1 / x)) = T(x * y,1 / x). x / (x * ((y \ 1) \ 1)) = ((x / (x * y)) \ 1) \ 1. x / ((((y / x) \ 1) \ 1) * x) = ((x / y) \ 1) \ 1. x \ T(x * y,1 / x) = ((1 / x) \ y) * (1 / x). x != ((y / (y * z)) \ 1) \ 1 | x = T(y / (y * z),z). x / (x * ((y \ 1) \ 1)) = T(x / (x * y),y). T(x / (x * y),y) = x / (x * ((y \ 1) \ 1)). T(x / (x * y),y) = x / (x * T(y,y \ 1)). x / (x * T(y,y \ 1)) = T(x / (x * y),y). T(x / (x * y),y) \ x = x * T(y,y \ 1). x / (((y \ 1) \ 1) * x) = ((x / (y * x)) \ 1) \ 1. ((x \ 1) \ 1) * K(y,x) = (x \ 1) \ K(y,x). x != ((y \ 1) \ 1) * z | x = y * (z * K(y,y \ 1)). (x \ 1) \ K(y,x) = x * (K(y,x) * K(x,x \ 1)). x * (K(y,x) * K(x,x \ 1)) = (x \ 1) \ K(y,x). x * (x * (K(y,x) / x)) = (x \ 1) \ K(y,x). x * y != z * (z * (K(u,z) / z)) | x \ ((z \ 1) \ K(u,z)) = y. T(x,y) \ ((x \ 1) \ K(z,x)) = x * (T(x,y) \ (x * (K(z,x) / x))). x * (T(x,y) \ (x * (K(z,x) / x))) = T(x,y) \ ((x \ 1) \ K(z,x)). L((x \ 1) * ((1 / x) \ y),x,x \ 1) = (x \ 1) * (x * y). x != T(K(T(y,z),1 / y),u) | x = K(T(y,z),1 / T(y,u)). K(T(x,y),T(T(x,y),z) \ 1) = K(T(x,y),1 / T(x,u)). ((1 / (1 / x)) * y) \ y = 1 / (1 / ((x * y) \ y)). 1 / (1 / ((x * y) \ y)) = ((1 / (1 / x)) * y) \ y. (((1 / (1 / x)) * y) \ y) \ 1 = 1 / ((x * y) \ y). (((1 / x) * y) \ y) \ 1 = 1 / (((x \ 1) * y) \ y). 1 / (((x \ 1) * y) \ y) = (((1 / x) * y) \ y) \ 1. ((((1 / x) * y) \ y) \ 1) \ 1 = ((x \ 1) * y) \ y. K(((x \ 1) * y) \ y,z) = K(((1 / x) * y) \ y,z). K(((1 / x) * y) \ y,z) = K(((x \ 1) * y) \ y,z). ((L(x,y,y \ 1) \ (y * x)) \ 1) \ 1 = ((y \ 1) * (y * x)) \ (y * x). K(x \ 1,x) * (y * ((x \ z) \ z)) = y * T(1 / (1 / x),x \ z). 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) * (T(x,y) \ z) = T((x \ 1) \ 1,y) \ z. T(x,y) * (K(x \ 1,x) * z) = T(1 / (1 / x),y) * z. ((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,T(y,z) \ 1) | x = K(y,y \ 1). K(T(x,y),1 / T(x,z)) = K(T(x,y),T(x,y) \ 1). K(T(x,y),T(x,y) \ 1) = K(T(x,y),1 / T(x,z)). K(T(x,y),T(x,y) \ 1) = K(T(x,y),x \ 1). x != K(T(y,z),T(y,z) \ 1) | x = K(T(y,z),1 / y). K(T(x,y),x \ 1) = K(T(x,y),1 / x). K(T(x,y),1 / x) = K(T(x,y),x \ 1). (T(x,y) \ z) * K(x \ 1,x) = T((x \ 1) \ 1,y) \ z. T(x,y) \ z = K(x \ 1,x) * (T(1 / (1 / x),y) \ z). K(x \ 1,x) * (T(1 / (1 / x),y) \ z) = T(x,y) \ z. (T(x,y) \ z) * K(x,x \ 1) = T(1 / (1 / x),y) \ z. ((x \ 1) \ 1) * (T(x,y) \ z) = x * (T(1 / (1 / x),y) \ z). (T(x \ 1,y) \ z) * K(x \ 1,x) = T(1 / (1 / (x \ 1)),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(x,y),x) = K(x,y). (((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)) = K(y,x). x != K(y,z) | x = K(T(y,y \ 1),z). T(K(x,y),x) = K(T(x,x \ 1),y). K(T(x,x \ 1),y) = T(K(x,y),x). x != K(y,z) | x = K((y \ 1) \ 1,z). T(K(x,y),x) = K((x \ 1) \ 1,y). T(x,K(x,y)) = x. 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). T(x,y) = T(T(x,y),K(x,z)). T(T(x,y),K(x,z)) = T(x,y). K(x,y) * T(x,z) = T(x,z) * K(x,y). T(x,y) * K(x,z) = K(x,z) * T(x,y). T(T(T(x,y),z),K(x,u)) = T(T(x,y),z). K(x,y) * L(x,z,u) = L(x,z,u) * K(x,y). L(x,y,z) * K(x,u) = K(x,u) * L(x,y,z). K(x,y) * R(x,z,u) = R(x,z,u) * K(x,y). R(x,y,z) * K(x,u) = K(x,u) * R(x,y,z). (x * y) / x = T((x * y) / x,K(y,z)). T((x * y) / x,K(y,z)) = (x * y) / x. (x * K(y,z)) \ (x * (y * K(y,z))) = L(y,K(y,z),x). K(x,y) * L(x,z,u) != w | L(x,z,u) * K(x,y) = w. T(K(x,y),T(x,z)) = K(x,y). T(x,y) * K(x,z) != K(x,z) * u | u = T(x,y). T(x,y) * K(x,z) != K(x,z) * u | T(x,y) = u. T(x,y) * K(x,z) != u | K(x,z) * T(x,y) = u. T(K(x,y),T(T(x,z),u)) = K(x,y). T(K(x,y),(z * x) / z) = K(x,y). T(K(x \ y,z),y / x) = K(x \ y,z). T(x / y,K(y \ x,z)) = x / y. (K(x * y,z) * y) * T(x,y) = (x * y) * R(K(x * y,z),y,T(x,y)). (x * y) * R(K(x * y,z),y,T(x,y)) = (K(x * y,z) * y) * T(x,y). T(x,R(K(x,y),z,u)) = x. (R(K(x,y),z,u) * x) * w != x * R(K(x,y),z,u) | 1 = w. 1 = K(x,R(K(x,y),z,u)). K(x,R(K(x,y),z,u)) = 1. R(K(x,y),z,u) * L(x,w,v5) = L(x,w,v5) * R(K(x,y),z,u). 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(T(x,y),1 / x) = y * ((T(x,y) \ 1) \ 1). x != y * ((T(z,y) \ 1) \ 1) | x = ((z \ 1) \ 1) * y. (x * y) * K(T(x,y),1 / x) = ((x \ 1) \ 1) * y. (x * y) * K(T(x,y),x \ 1) = ((x \ 1) \ 1) * y. (x * y) * z != ((x \ 1) \ 1) * y | z = K(x,x \ 1). K(T(x,y),x \ 1) = K(x,x \ 1). x != K(T(y,z),y \ 1) | x = K(T(y,z),T(y,z) \ 1). K(x,x \ 1) = K(T(x,y),T(x,y) \ 1). K(T(x,y),T(x,y) \ 1) = K(x,x \ 1). (x * (T(y,z) \ 1)) * K(y,y \ 1) = x * (1 / T(y,z)). (T(x,y) \ T(x,z)) * K(x,x \ 1) = T(x,z) * (1 / T(x,y)). ((x \ (x / y)) * z) * K(y,y \ 1) = (1 / (1 / (x \ (x / y)))) * z. x * K(y,y \ 1) != T(y,y \ 1) * z | x = y * z. T(x,y) \ T(x,x \ 1) = x * (1 / T(x,y)). x != y \ T(z,z \ u) | x = y \ ((z \ u) \ u). x * (1 / T(x,y)) = T(x,y) \ ((x \ 1) \ 1). T(x,y) \ ((x \ 1) \ 1) = x * (1 / T(x,y)). L(T((x \ y) \ z,z \ (x \ y)),x \ y,x) = ((y \ (x * z)) \ 1) \ 1. K(x \ y,x) = K(((x \ 1) \ 1) \ y,(x \ 1) \ 1). K(((x \ 1) \ 1) \ y,(x \ 1) \ 1) = K(x \ y,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). (x * T(y,z)) / T(T(y,y \ 1),z) = x * K(y \ 1,y). (x * T(y,z)) / T((y \ 1) \ 1,z) = x * K(y \ 1,y). (x * K(y \ 1,y)) * T((y \ 1) \ 1,z) != u | u = x * T(y,z). (x * K(y \ 1,y)) * T((y \ 1) \ 1,z) != u | x * T(y,z) = u. x * T((T(y,x) \ 1) \ 1,z) = (T(y,z) * x) * K(T(T(y,x),z),T(T(y,x),z) \ 1). (T(x,y) * z) * K(T(T(x,z),y),T(T(x,z),y) \ 1) = z * T((T(x,z) \ 1) \ 1,y). x * (x * (T(x,y) \ (K(z,x) / x))) = T(x,y) \ ((x \ 1) \ K(z,x)). K(x \ 1,x) * (y \ 1) = (y \ (x \ 1)) * T(1 / (1 / x),x \ 1). (x \ (y \ 1)) * T(1 / (1 / y),y \ 1) = K(y \ 1,y) * (x \ 1). (T(x \ 1,y) \ z) * K(x \ 1,x) = T(1 / x,y) \ z. K(x,x \ 1) * (T(1 / x,y) \ z) = T(x \ 1,y) \ z. K(x,x \ 1) * y = T(x \ 1,z) \ (T(1 / x,z) * y). T(x \ 1,y) \ (T(1 / x,y) * z) = K(x,x \ 1) * z. T(x \ 1,y) * (K(x,x \ 1) * z) = T(1 / x,y) * z. T(x \ 1,y) * ((x \ 1) \ (K(x,x \ 1) * z)) = T(1 / x,y) * ((x \ 1) \ z). T(x \ 1,y) * ((x \ 1) \ z) = T(1 / x,y) * ((1 / x) \ z). T(1 / x,y) * ((1 / x) \ z) = T(x \ 1,y) * ((x \ 1) \ z). (1 / x) * (T(x \ 1,y) * ((x \ 1) \ z)) = T(1 / x,y) * z. x != 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 \ 1))) * z) * K(y \ 1,y) = (1 / (1 / (x \ (x / (y \ 1))))) * z. (x \ (y \ 1)) * y = K(y \ 1,y) * (x \ 1). K(x \ 1,x) * (y \ 1) = (y \ (x \ 1)) * x. K(x \ 1,x) * (y \ (z \ 1)) = ((z * y) \ (x \ 1)) * x. 1 / (K(x,y) \ y) = (((y * x) \ y) * T(((y * x) \ y) \ 1,y)) / y. (((x * y) \ x) * T(((x * y) \ x) \ 1,x)) / x = 1 / (K(y,x) \ x). K(x,y) / y = 1 / (K(x,y) \ y). 1 / (K(x,y) \ y) = K(x,y) / y. (K(x,y) / y) \ 1 = K(x,y) \ y. x * (K(y,x) \ 1) = K(y,x) \ x. x * y != (K(z,u) / u) \ 1 | (K(z,u) \ u) / y = x. (K(x,y) \ y) / (K(x,y) \ 1) = y. K(x,y) \ y != y * z | K(x,y) \ 1 = z. x != (K(y,z) \ z) / (K(y,z) \ 1) | x = (K(y,z) \ 1) \ (K(y,z) \ z). x = (K(y,x) \ 1) \ (K(y,x) \ x). (K(x,y) \ 1) \ (K(x,y) \ y) = y. (K(x,y) \ 1) * T(y,z) = K(x,y) \ T(y,z). x != y * T(z,z \ u) | x = y * ((z \ u) \ u). K(x,y) \ T(y,y \ z) = (K(x,y) \ 1) * ((y \ z) \ z). (K(x,y) \ 1) * ((y \ z) \ z) = K(x,y) \ ((y \ z) \ z). x != (y \ 1) * ((z \ 1) \ 1) | x = R(y \ z,z \ 1,z). K(x,y) \ ((y \ 1) \ 1) = R(K(x,y) \ y,y \ 1,y). 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). ((x \ 1) * y) / T(1 / x,y) = K(x \ 1,x) * y. ((1 / x) * T((1 / x) \ 1,(x \ 1) * y)) * y = y * K(((x \ 1) * y) \ (K(x \ 1,x) * y),(x \ 1) * y). x * K(((y \ 1) * x) \ (K(y \ 1,y) * x),(y \ 1) * x) = ((1 / y) * T((1 / y) \ 1,(y \ 1) * x)) * x. 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(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) != z | K(x,(y \ 1) \ 1) = z. x != K(((y \ 1) \ 1) \ z,(y \ 1) \ 1) | x = K(y \ z,y). K(((x \ 1) \ 1) \ y,x) = K(x \ y,x). K(x,y \ 1) = K(x,1 / y). K(x,1 / y) = K(x,y \ 1). K(x,(y * (z \ 1)) \ 1) = K(x,z / y). K(x,y) = K(x,1 / (1 / y)). K(x,1 / (1 / y)) = K(x,y). K(x,T(y,1 / y)) = K(x,y). K(x,T(y \ 1,z)) = K(x,T(1 / y,z)). K(x,T(1 / y,z)) = K(x,T(y \ 1,z)). K(x,T(y / z,y \ z)) = K(x,y / z). K(x,((y \ 1) \ z) / z) = K(x,((1 / y) \ z) / z). K(x,((1 / y) \ z) / z) = K(x,((y \ 1) \ z) / z). (1 / x) * K(y,1 / x) = K(y,x \ 1) / x. (x \ 1) * K(y,x \ 1) = x \ K(y,1 / x). K(x,L(L(1 / y,z,u),w,v5)) = K(x,L(L(y \ 1,z,u),w,v5)). K(x \ ((1 / x) \ y),x) = K(x \ ((x \ 1) \ y),x). x != K(y * (z \ 1),(y * (z \ 1)) \ 1) | x = (y * (z \ 1)) * (z / y). K(x * (y \ 1),y / x) = (x * (y \ 1)) * (y / x). K(x,(y \ 1) \ (z \ 1)) = K(x,y / z). 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). K(x \ 1,x) * R(y * T(x,x \ 1),z,u) = (x \ R(x * y,z,u)) * x. K(x \ 1,x) * L(y * T(x,x \ 1),z,u) = (x \ L(x * y,z,u)) * x. K(x \ 1,x) * L(y * K(x,x \ 1),z,u) = (x \ L(x * (y / x),z,u)) * x. (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = R((y \ (1 / (1 / x))) * y,1 / x,(1 / x) \ 1) / ((1 / x) \ 1). R((x \ (1 / (1 / y))) * x,1 / y,(1 / y) \ 1) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). T(x \ 1,y) * ((((x \ 1) \ 1) \ 1) \ z) = T(1 / x,y) * ((x \ 1) \ z). T(x \ 1,y) * (T(x \ 1,(x \ 1) \ 1) \ z) = T(1 / x,y) * ((x \ 1) \ z). ((x \ (x / (y \ 1))) * z) * K(y \ 1,y) = (x \ (x / (1 / y))) * z. 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). 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). x * y != L(K(z,u),u \ 1,u) | x \ K(z,u) = y. x \ K(y,x) = (x \ 1) * K(y,x). (x \ 1) * K(y,x) = x \ K(y,x). R(x,y \ 1,K(z,y)) = ((x * (y \ 1)) * K(z,y)) / (y \ K(z,y)). ((x * (y \ 1)) * K(z,y)) / (y \ K(z,y)) = R(x,y \ 1,K(z,y)). (T(x,y) * z) * K(T(T(x,z),y),T(T(x,z),y) \ 1) = z * T(T((x \ 1) \ 1,z),y). x != y * T(T(z,y),u) | x = T(z,u) * y. (T(x,y) * z) * K(T(T(x,z),y),T(T(x,z),y) \ 1) = T((x \ 1) \ 1,y) * z. (T(x,y) * z) * K(T(x,z),T(x,z) \ 1) = T((x \ 1) \ 1,y) * z. (T(x,y) * z) * K(x,x \ 1) = T((x \ 1) \ 1,y) * z. x * (T((x \ 1) \ 1,y) * z) = T(x,x \ 1) * (T(x,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 * 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) \ 1,T(x,y)) * (z / T(1 / (1 / x),y)) = z / ((1 / T(x,y)) \ 1). K(x \ 1,x) * (y / T(1 / (1 / x),z)) = y / ((1 / T(x,z)) \ 1). K(x \ 1,x) * (y / T(1 / (1 / x),z)) = y / T(x,z). ((x \ 1) \ 1) * (y / T(x,z)) = x * (y / T(1 / (1 / x),z)). K(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). 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,(x / y) \ 1) = K(y \ x,x \ y). x != K((y / z) \ 1,y / z) | x = K(z / y,y / z). K(x \ y,y \ x) = K(y / x,x / y). K(x / y,y / x) = K(y \ x,x \ y). x != K(y \ z,z \ y) | x = K(1 / (z \ y),z \ y). K(x / y,y / x) = K(1 / (x \ y),x \ y). K(1 / (x \ y),x \ y) = K(x / y,y / x). x != K((y * z) \ z,z \ (y * z)) | x = K(y \ 1,y). K(x / (y * x),(x / (y * x)) \ 1) = K(y \ 1,y). x * K(x / y,(x / y) \ 1) = y * (((y \ x) \ 1) \ 1). K(x \ 1,x) * (y / (x * y)) = ((y / (x * y)) \ 1) \ 1. x != K(y \ 1,y) * (z / (y * z)) | x = R(y \ 1,y,z). ((x / (y * x)) \ 1) \ 1 = R(y \ 1,y,x). R(x \ 1,x,y) = ((y / (x * y)) \ 1) \ 1. x != ((y / (z * y)) \ 1) \ 1 | x = y / (((z \ 1) \ 1) * y). R(x \ 1,x,y) = y / (((x \ 1) \ 1) * y). R(R(x,y,z) \ 1,R(x,y,z),y * z) = (((y * z) / ((x * y) * z)) \ 1) \ 1. R(x \ 1,x,y) \ y = ((x \ 1) \ 1) * y. T(R(x \ 1,x,y),((x \ 1) \ 1) * y) = (((x \ 1) \ 1) * y) \ y. R(x \ 1,x,y) = y / (T(x,x \ 1) * y). x / (T(y,y \ 1) * x) = R(y \ 1,y,x). R(x,1 / x,y) \ y = (((1 / x) \ 1) \ 1) * y. R(x,1 / x,y) \ y = (x \ 1) * y. x / ((y \ 1) * x) = R(y,1 / y,x). R(x,1 / x,y) = y / ((x \ 1) * y). x != y / ((z \ 1) * y) | x = R(z,z \ 1,y). R(x,1 / x,y) = R(x,x \ 1,y). L(R(x,x \ 1,y),x \ 1,x) = R(1 / (1 / x),1 / x,y). x != L(R(y,z,u),y \ 1,y) | x = R(1 / (1 / y),z,u). R(1 / (1 / x),1 / x,y) = R(1 / (1 / x),x \ 1,y). x != R(1 / y,y,y \ z) | x = (y \ z) / z. R(1 / (1 / x),x \ 1,(1 / x) \ y) = ((1 / x) \ y) / y. ((1 / x) \ y) \ (y * R(1 / (1 / x),x \ 1,(1 / x) \ y)) = K(y,((1 / x) \ y) / y). (((x \ 1) \ 1) * y) \ y = R(T(x \ 1,((x \ 1) \ 1) * y),x,y). R(T(x \ 1,((x \ 1) \ 1) * y),x,y) = (((x \ 1) \ 1) * y) \ y. R(T(x \ 1,x * y),x,y) = (((x \ 1) \ 1) * y) \ y. x != R(T(y \ 1,y * z),y,z) | x = T((y * z) \ z,y). (((x \ 1) \ 1) * y) \ y = T((x * y) \ y,x). T((x * y) \ y,x) = (((x \ 1) \ 1) * y) \ y. T((x * y) \ y,x) = (T(x,x \ 1) * y) \ y. (T(x,x \ 1) * y) \ y = T((x * y) \ y,x). ((((x * y) / ((z * x) * y)) \ 1) \ 1) * ((z * x) * y) = ((R(z,x,y) \ 1) * R(z,x,y)) * (x * y). x != K(y,((1 / z) \ u) / u) | x = K(y,((z \ 1) \ u) / u). ((1 / x) \ y) \ (y * R(1 / (1 / x),x \ 1,(1 / x) \ y)) = K(y,((x \ 1) \ y) / y). ((x * y) * z) * (((((x * y) * z) \ (y * z)) \ 1) \ 1) = ((R(x,y,z) \ 1) * R(x,y,z)) * (y * z). 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)) = R(x,y,1 / z). x != R(R(1 / y,z,u),w,K(y,y \ 1)) | x = R(1 / y,z,u). R(1 / x,y,1 / x) = R(1 / x,y,x \ 1). R(R(x,y,(z \ 1) \ 1),y * T(z,z \ 1),K(z \ 1,(z \ 1) \ 1)) = R(x,y,1 / (z \ 1)). R(R(x,y,(z \ 1) \ 1),y * T(z,z \ 1),K(z \ 1,z)) = R(x,y,1 / (z \ 1)). R(R(x,y,(z \ 1) \ 1),y * T(z,z \ 1),K(z \ 1,z)) = R(x,y,z). R((1 / x) * T((1 / x) \ 1,y),K(x \ 1,x),z) = (1 / x) * T((1 / x) \ 1,y). x != (1 / y) * T((1 / y) \ 1,z) | x = y \ T(y,z). R((1 / x) * T((1 / x) \ 1,y),K(x \ 1,x),z) = x \ T(x,y). R(x \ T(x,y),K(x \ 1,x),z) = x \ T(x,y). (x \ T(x,y)) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,T(x,y)) * z. (x \ T(x,y)) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,x) * z. (x \ T(x,y)) * (K(x \ 1,x) * z) = ((x \ 1) * T(x,y)) * z. ((x \ 1) * T(x,y)) * z = (x \ T(x,y)) * (z * K(x \ 1,x)). (x \ T(x,y)) * (z * K(x \ 1,x)) = ((x \ 1) * T(x,y)) * z. ((x \ 1) * y) \ ((x \ 1) * (y * z)) = L(L(z,y,1 / x),(1 / x) * y,K(x \ 1,x)). L(L(x,y,1 / z),(1 / z) * y,K(z \ 1,z)) = ((z \ 1) * y) \ ((z \ 1) * (y * x)). L(L(x,y,1 / z),(1 / z) * y,K(z \ 1,z)) != u | L(x,y,z \ 1) = u. (L(x,y,y \ 1) \ ((1 / y) * (x * y))) * ((y * ((1 / y) * (x * y))) / y) = (1 / y) * (x * y). (1 / x) * (y * x) != z * ((x * ((1 / x) * (y * x))) / x) | L(y,x,x \ 1) \ ((1 / x) * (y * x)) = z. x * ((y * ((1 / y) * (z * y))) / y) != (1 / y) * (z * y) | L(z,y,y \ 1) \ ((1 / y) * (z * y)) = x. T((x \ 1) * (x * ((y * z) / y)),y) = T(1 / x,y) * L(T(1 / x,y) \ z,x \ 1,x). x * K(((y \ 1) * x) \ (K(y \ 1,y) * x),(y \ 1) * x) = (y \ T(y,(y \ 1) * x)) * x. R((x \ (1 / (1 / y))) * x,y \ 1,y) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). (((x * y) * z) * L(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * L(R(x,y,z) \ 1,u,w). (((x * y) * L((x * y) \ y,z,u)) * w) / (y * w) = R(x,y,w) * L(R(x,y,w) \ 1,z,u). (((x * L(x \ 1,y,z)) * u) * w) / (u * w) = R(x,u,w) * L(R(x,u,w) \ 1,y,z). R(x * L(x \ 1,y,z),u,w) = R(x,u,w) * L(R(x,u,w) \ 1,y,z). R(x,y,z) * L(R(x,y,z) \ 1,u,w) = R(x * L(x \ 1,u,w),y,z). R(x,y,z) * L(R(x,y,z) \ 1,u,w) != v5 | R(x * L(x \ 1,u,w),y,z) = v5. R(x,y,z) * ((R(x,y,z) / x) \ ((1 / x) * 1)) = R(x * L(x \ 1,R(x,y,z),1 / x),y,z). R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = R(x * L(x \ 1,R(x,y,z),1 / x),y,z). R(x * L(x \ 1,R(x,y,z),1 / x),y,z) = R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)). R(a(R(x,y,z),1 / x,x),y,z) = R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)). R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = R(a(R(x,y,z),1 / x,x),y,z). R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = R(K(R(x,y,z),x \ 1),y,z). x != R(K(R(y,z,u),y \ 1),z,u) | x = K(R(y,z,u),R(y,z,u) \ 1). R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = K(R(x,y,z),R(x,y,z) \ 1). (R(x,y,z) / x) \ (1 / x) = 1 / R(x,y,z). x != (R(y,z,u) / y) \ (1 / y) | x = R(1 / (1 / y),z,u) \ 1. 1 / R(x,y,z) = R(1 / (1 / x),y,z) \ 1. R(1 / (1 / x),y,z) \ 1 = 1 / R(x,y,z). 1 / (1 / R(x,y,z)) = R(1 / (1 / x),y,z). R(1 / (1 / x),y,z) = 1 / (1 / R(x,y,z)). R(1 / x,y,z) \ 1 = 1 / R(x \ 1,y,z). 1 / R(x \ 1,y,z) = R(1 / x,y,z) \ 1. R(x,y,z) \ 1 = 1 / R((x \ 1) \ 1,y,z). 1 / R((x \ 1) \ 1,y,z) = R(x,y,z) \ 1. R(1 / x,y,z) = 1 / (1 / R(x \ 1,y,z)). 1 / (1 / R(x \ 1,y,z)) = R(1 / x,y,z). (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. T(x,R(1 / y,z,u)) = T(x,R(y \ 1,z,u)). R(((x / y) \ 1) \ 1,y,y \ 1) = ((x * (y \ 1)) \ 1) \ 1. R(((x / y) \ 1) \ 1,y,z) * (y * z) = (y * z) * ((((y * z) \ (x * z)) \ 1) \ 1). R(((x / (1 / y)) \ 1) \ 1,y \ 1,y) = ((x * y) \ 1) \ 1. T(x,R((y \ 1) \ 1,z,u)) = T(x,R(y,z,u)). T(x,R(K(y,y \ 1) / z,u,w)) = T(x,R((z * K(y \ 1,y)) \ 1,u,w)). T(x,R((y * K(z \ 1,z)) \ 1,u,w)) = T(x,R(K(z,z \ 1) / y,u,w)). x != R(((y / (1 / z)) \ 1) \ 1,z \ 1,z) | x = T(y * z,y \ (1 / z)). ((x * y) \ 1) \ 1 = T(x * y,x \ (1 / y)). T(x * y,x \ (1 / y)) = ((x * y) \ 1) \ 1. T(x,R(y \ K(z,z \ 1),u,w)) = T(x,R(K(z,z \ 1) / y,u,w)). T(x,R(K(y,y \ 1) / z,u,w)) = T(x,R(z \ K(y,y \ 1),u,w)). ((((x / y) \ 1) \ 1) * y) * z = (y * z) * ((((y * z) \ (x * z)) \ 1) \ 1). (x * y) * ((((x * y) \ (z * y)) \ 1) \ 1) = ((((z / x) \ 1) \ 1) * x) * y. (x * y) * ((((x * y) \ (z * y)) \ 1) \ 1) = (x * (((x \ z) \ 1) \ 1)) * y. x != ((y * z) * u) * (((((y * z) * u) \ (z * u)) \ 1) \ 1) | x = ((R(y,z,u) \ 1) * R(y,z,u)) * (z * u). ((x * y) * ((((x * y) \ y) \ 1) \ 1)) * z = ((R(x,y,z) \ 1) * R(x,y,z)) * (y * z). ((R(x,y,z) \ 1) * R(x,y,z)) * (y * z) = ((x * y) * ((((x * y) \ y) \ 1) \ 1)) * z. x != ((y * z) * u) * (((((y * z) * u) \ (z * u)) \ 1) \ 1) | x = ((R(y,z,u) \ 1) \ 1) \ ((y * z) * u). ((x * y) * ((((x * y) \ y) \ 1) \ 1)) * z = ((R(x,y,z) \ 1) \ 1) \ ((x * y) * z). ((R(x,y,z) \ 1) \ 1) \ ((x * y) * z) = ((x * y) * ((((x * y) \ y) \ 1) \ 1)) * z. R((x \ 1) \ 1,y,z) \ ((x * y) * z) = ((x * y) * ((((x * y) \ y) \ 1) \ 1)) * z. R((x \ 1) \ 1,y,z) \ ((x * y) * z) = (y * K(x \ 1,x)) * z. (((x * (y \ 1)) \ 1) \ 1) \ (((x / y) * y) * (y \ 1)) = (y * K((x / y) \ 1,x / y)) * (y \ 1). ((R(x,y,z) \ 1) * R(x,y,z)) * (y * z) = (y * K(x \ 1,x)) * z. (((x * (y \ 1)) \ 1) \ 1) \ (x * (y \ 1)) = (y * K((x / y) \ 1,x / y)) * (y \ 1). K((x * (y \ 1)) \ 1,x * (y \ 1)) = (y * K((x / y) \ 1,x / y)) * (y \ 1). (x * K((y / x) \ 1,y / x)) * (x \ 1) = K((y * (x \ 1)) \ 1,y * (x \ 1)). K(R(x,y,z) \ (((x \ R(x,y,z)) / R(x,y,z)) * R(x,y,z)),R(x,y,z)) = ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1). K(R(x,y,z) \ (x \ R(x,y,z)),R(x,y,z)) = ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1). K(x \ 1,R(x,y,z)) = ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1). ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1) = K(x \ 1,R(x,y,z)). K(x \ 1,R(x,y,z)) \ (x \ 1) = (x \ R(x,y,z)) / R(x,y,z). x * y != K(z \ 1,R(z,u,w)) \ (z \ 1) | x \ ((z \ R(z,u,w)) / R(z,u,w)) = y. (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) = K(x \ 1,R(x,y,z)) \ 1. K(R(x,y,z),x \ 1) = K(x \ 1,R(x,y,z)) \ 1. K(x \ 1,R(x,y,z)) \ 1 = K(R(x,y,z),x \ 1). K(R(x,y,z),x \ 1) \ 1 = K(x \ 1,R(x,y,z)). x * T(x \ 1,R(x,y,z)) = K(x \ 1,R(x,y,z)). x != y * T(y \ 1,R(y,z,u)) | x = R(y,z,u) \ R(1 / (1 / y),z,u). K(x \ 1,R(x,y,z)) = R(x,y,z) \ R(1 / (1 / x),y,z). R(x,y,z) \ R(1 / (1 / x),y,z) = K(x \ 1,R(x,y,z)). R(K(x \ 1,R(x,y,z)),y,z) = K(R(x,y,z) \ 1,R(x,y,z)). R(x,y,z) * K(x \ 1,R(x,y,z)) = R(1 / (1 / x),y,z). x != R(1 / (1 / y),z,u) | x = 1 / (1 / R(y,z,u)). R(x,y,z) * K(x \ 1,R(x,y,z)) = 1 / (1 / R(x,y,z)). K(x \ 1,R(x,y,z)) = K(R(x,y,z) \ 1,R(x,y,z)). K(R(x,y,z) \ 1,R(x,y,z)) = K(x \ 1,R(x,y,z)). (R(x,y,z) \ 1) * R(x,y,z) = K(x \ 1,R(x,y,z)). K((x / (y * z)) \ 1,R((x / z) / y,y,z)) = K(((x / z) / y) \ 1,R((x / z) / y,y,z)). K(((x / y) / z) \ 1,R((x / y) / z,z,y)) = K((x / (z * y)) \ 1,R((x / y) / z,z,y)). 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)) * (y * z) = (y * K(x \ 1,x)) * z. (x * K(y \ 1,y)) * z != u * (x * z) | K(y \ 1,R(y,x,z)) = u. K(x,R(x \ 1,y,z)) * (y * z) = (y * K((x \ 1) \ 1,x \ 1)) * z. R(K(x,R(x \ 1,y,z)),y,z) = K(R(x \ 1,y,z) \ 1,R(x \ 1,y,z)). K(R(x \ 1,y,z) \ 1,R(x \ 1,y,z)) = R(K(x,R(x \ 1,y,z)),y,z). K(x,R(x \ 1,y,z)) * (y * z) = (y * K(x,x \ 1)) * z. x != K(R(y,z,u) \ 1,R(y,z,u)) | x = K(y \ 1,R(y,z,u)). R(K(x,R(x \ 1,y,z)),y,z) = K((x \ 1) \ 1,R(x \ 1,y,z)). x != K((y \ 1) \ 1,z) | x = K(y,z). R(K(x,R(x \ 1,y,z)),y,z) = K(x,R(x \ 1,y,z)). K(x,R(x \ 1,y,z)) * (y * z) = (K(x,R(x \ 1,y,z)) * y) * z. (K(x,R(x \ 1,y,z)) * y) * z = K(x,R(x \ 1,y,z)) * (y * z). L(x,y,K(z,R(z \ 1,y,x))) = x. x * y != K(z,R(z \ 1,u,y)) * (u * y) | x = u * K(z,z \ 1). K(x,R(x \ 1,y,z)) * y = y * K(x,x \ 1). x * y != y * K(z,z \ 1) | x = K(z,z \ 1). K(x,R(x \ 1,y,z)) = K(x,x \ 1). K(x,x \ 1) * (y * z) = (y * K(x,x \ 1)) * z. (x * K(y,y \ 1)) * z = K(y,y \ 1) * (x * z). L(x,y,K(z,z \ 1)) = x. x != L(T(y,z),z,K(u,u \ 1)) | x = R(T(y,z * K(u,u \ 1)),z,K(u,u \ 1)). T(x,y) = R(T(x,y * K(z,z \ 1)),y,K(z,z \ 1)). R(T(x,y * K(z,z \ 1)),y,K(z,z \ 1)) = T(x,y). 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). L(x,y,K(z,1 / z)) = x. L(x,y,K(z \ 1,z)) = x. ((x \ 1) \ 1) / (y \ x) = K(x,x \ 1) * y. (1 / x) / y = K(x,x \ 1) * ((x \ 1) / y). K(x,x \ 1) * ((x \ 1) / y) = (1 / x) / y. L(x,y,K(z \ u,u \ z)) = x. (K(x,1 / x) * y) * z = K(x,1 / x) * (y * z). K(x,1 / x) / y = K(x,1 / x) * (1 / y). K(x,1 / x) * (1 / y) = K(x,1 / x) / y. L(x,y,z \ 1) = L(x,y,1 / z). L(x,y,1 / z) = L(x,y,z \ 1). x != L(T(y,z),z,K(u \ 1,u)) | x = R(T(y,z * K(u \ 1,u)),z,K(u \ 1,u)). T(x,y) = R(T(x,y * K(z \ 1,z)),y,K(z \ 1,z)). R(T(x,y * K(z \ 1,z)),y,K(z \ 1,z)) = T(x,y). x \ 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 = K(x \ 1,x) * (1 / y). K(x \ 1,x) * (1 / y) = K(x \ 1,x) / y. (K(x \ 1,x) * y) / z = K(x \ 1,x) * (y / z). (x * K(y \ 1,y)) * z = K(y \ 1,y) * (x * z). (K(x \ y,y \ x) * z) * u = K(x \ y,y \ x) * (z * u). 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). (1 / x) * K(y,y \ 1) = K(y,y \ 1) / x. 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. (1 / x) * K(y \ 1,y) = K(y \ 1,y) / x. 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 \ ((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 != (1 / y) * K(z \ 1,z) | x = (z \ 1) * (z / y). K(x \ 1,x) / y = (x \ 1) * (x / y). K(x \ 1,x) * (((x \ 1) \ 1) / y) = x / y. x * y != (z * K(u,u \ 1)) * w | (K(u,u \ 1) * (z * w)) / y = x. (K(x,x \ 1) * (y * z)) / (K(x,x \ 1) * z) = R(y,K(x,x \ 1),z). x * y = K(z,z \ 1) * ((K(z \ 1,z) * x) * y). K(x,x \ 1) * ((K(x \ 1,x) * y) * z) = y * z. x \ (K(y,y \ 1) * z) = (x * K(y \ 1,y)) \ z. (x * K(y \ 1,y)) \ z = x \ (K(y,y \ 1) * z). (K(x,x \ 1) * y) \ z = y \ (z * K(x \ 1,x)). (x \ y) \ (K(x,x \ 1) * z) = (((x \ 1) \ 1) \ y) \ z. ((x \ y) * (1 / y)) * z = K(y,y \ 1) * ((x \ 1) * z). K(x,x \ 1) * ((y \ 1) * z) = ((y \ x) * (1 / x)) * z. (K(x,x \ 1) * (y \ 1)) / z = K(x,x \ 1) * (y \ (1 / 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 | x = z * K(y,1 / y). (K(x,1 / x) * y) * z = (y * z) * K(x,1 / x). ((1 / (1 / x)) \ y) * z = K(x,1 / x) * ((x \ y) * z). K(x,1 / x) * ((x \ y) * z) = ((1 / (1 / x)) \ y) * z. x \ (K(y \ 1,y) * z) = (x * K(y,y \ 1)) \ z. (x * K(y,y \ 1)) \ z = x \ (K(y \ 1,y) * z). ((x \ 1) * y) \ (K(x \ 1,x) * z) = ((1 / x) * y) \ z. R(K(x \ 1,x) * y,z,u) = ((K(x \ 1,x) * (y * z)) * u) / (z * u). ((K(x \ 1,x) * (y * z)) * u) / (z * u) = R(K(x \ 1,x) * y,z,u). T(K(x \ 1,x) * (y / z),z) = z \ (K(x \ 1,x) * y). (1 / (1 / x)) / y = K(x \ 1,x) * (x / y). K(x \ 1,x) * (x / y) = (1 / (1 / x)) / y. (x * K(y \ 1,y)) / z = K(y \ 1,y) * (x / z). 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). K(x \ 1,R(x,y,z)) = K(x \ 1,x). x * T(y,z) = K(y \ 1,y) * (x * T((y \ 1) \ 1,z)). K(x \ 1,x) * (y * T((x \ 1) \ 1,z)) = y * T(x,z). a(x * K(y \ 1,y),z,u) = (K(y \ 1,y) * (x * (z * u))) \ (((x * K(y \ 1,y)) * z) * u). (K(x \ 1,x) * (y * (z * u))) \ (((y * K(x \ 1,x)) * z) * u) = a(y * K(x \ 1,x),z,u). L(x,y,z * K(u \ 1,u)) = (K(u \ 1,u) * (z * y)) \ ((z * K(u \ 1,u)) * (y * x)). (K(x \ 1,x) * (y * z)) \ ((y * K(x \ 1,x)) * (z * u)) = L(u,z,y * K(x \ 1,x)). (x * (y * K(z \ 1,z))) \ (x * (K(z \ 1,z) * (y * u))) != w | L(u,y * K(z \ 1,z),x) = w. (K(x \ 1,x) * (y * ((1 / x) * z))) / ((x \ 1) * z) = R(y,K(x \ 1,x),(1 / x) * z). K(R(x,y,z) \ 1,R(x,y,z)) = K(x \ 1,x). K(((x / y) / z) \ 1,x / (z * y)) = K(((x / y) / z) \ 1,(x / y) / z). K(((x / y) / z) \ 1,(x / y) / z) = K(((x / y) / z) \ 1,x / (z * y)). (x \ R(x,y,z)) * K(x \ 1,x) = (x \ 1) * R(x,y,z). K(x \ 1,x) * (1 / R(x,y,z)) = R(x,y,z) \ 1. (x * K(y \ 1,y)) \ (z * K(y \ 1,y)) = x \ z. (x * K(y,1 / y)) / z = K(y,1 / y) * (x / z). x \ (K(y \ 1,y) * (x * ((1 / y) * z))) != u | L((y \ 1) * z,K(y,y \ 1),x) = u. x * y != K(z \ 1,z) * (1 / R(z,u,w)) | x \ (R(z,u,w) \ 1) = y. (x \ 1) \ (R(x,y,z) \ 1) = (1 / x) \ (1 / R(x,y,z)). (1 / x) \ (1 / R(x,y,z)) = (x \ 1) \ (R(x,y,z) \ 1). ((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 != (y * z) / u | x = R(y / (u / z),u / z,z). K(x,1 / x) * (y / z) = R(y / (z / K(x,1 / x)),z / K(x,1 / x),K(x,1 / x)). R(x / (y / K(z,1 / z)),y / K(z,1 / z),K(z,1 / z)) = K(z,1 / z) * (x / y). R(T(x,y / (1 / z)),y / (z \ 1),K(z \ 1,z)) = T(x,y / (z \ 1)). K(x * y,(x * y) \ 1) * ((x \ 1) * z) = (y * (1 / (x * y))) * z. ((x \ y) * (1 / y)) * z != K(y,y \ 1) * u | (x \ 1) * z = u. K(x,x \ 1) * y != ((z \ x) * (1 / x)) * u | (z \ 1) * u = y. x * K(((1 / y) * x) \ x,(y \ 1) * x) = (y \ T(y,(y \ 1) * x)) * x. (x \ T(x,(x \ 1) * y)) * y = y * K(((1 / x) * y) \ y,(x \ 1) * y). T((x \ 1) * (x * ((y * (x \ z)) / y)),y) = y \ (K(x \ 1,x) * (y * ((1 / x) * z))). x * K(y \ 1,y) != (y \ 1) * z | x = (1 / y) * z. x \ R(x,y,z) = (1 / x) * R(x,y,z). (1 / x) * R(x,y,z) = x \ R(x,y,z). x != (1 / y) * R(y,z,u) | x = R(y,z,u) / y. x \ R(x,y,z) = R(x,y,z) / x. R(x,y,z) / x = x \ R(x,y,z). (x \ R(x,y,z)) * x = R(x,y,z). (x \ R(x,y,z)) \ 1 = x * (R(x,y,z) \ 1). R(x \ R(x,y,z),x,y * z) = ((x * y) * z) / (x * (y * z)). T(x,x \ R(x,y,z)) = x. x != y * (R(y,z,u) \ 1) | x = R(y,z,u) \ y. (x \ R(x,y,z)) \ 1 = R(x,y,z) \ x. x != (y \ R(y,z,u)) \ 1 | x = (y \ 1) \ (R(y,z,u) \ 1). R(x,y,z) \ x = (x \ 1) \ (R(x,y,z) \ 1). (x \ 1) \ (R(x,y,z) \ 1) = R(x,y,z) \ x. T(R(x,y,z) \ x,x \ 1) = R(x,y,z) \ x. K(R(x,y,z) \ x,x \ 1) = 1. x != (y \ 1) \ (R(y,z,u) \ 1) | x = R(y,z,u) \ y. (1 / x) \ (1 / R(x,y,z)) = R(x,y,z) \ x. x != (1 / y) \ (1 / z) | x = y / z. R(x,y,z) \ x = x / R(x,y,z). x / R(x,y,z) = R(x,y,z) \ x. (R(x,y,z) \ x) * R(x,y,z) = x. ((x / y) / z) / (x / (z * y)) = R((x / y) / z,z,y) \ ((x / y) / z). R((x / y) / z,z,y) \ ((x / y) / z) = ((x / y) / z) / (x / (z * y)). (x * K(y \ z,z \ y)) * u = K(y \ z,z \ y) * (x * u). ((x \ y) * (1 / y)) / z = K(y,y \ 1) * (x \ (1 / z)). K(x,x \ 1) * (y \ (1 / z)) = ((y \ x) * (1 / x)) / z. T((R(x \ R(x,y,z),x,y * z) \ 1) \ 1,x * (y * z)) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. x * y != z * ((1 / u) * u) | z / y = x. K(x \ y,y \ x) / z = (1 / z) * K(x \ y,y \ x). (1 / x) * K(y \ z,z \ y) = K(y \ z,z \ y) / x. (x * K(y \ z,z \ y)) * (x \ 1) != u | u = K(y \ z,z \ y). (x * K(y \ z,z \ y)) * (x \ 1) != u | K(y \ z,z \ y) = u. K(x * y,y \ (x \ 1)) * ((x \ 1) * z) = (y * (1 / (x * y))) * z. x != (K(y,y \ 1) * (z * u)) / (K(y,y \ 1) * u) | x = R(z,u,K(y,y \ 1)). R(x,K(y,y \ 1),z) = R(x,z,K(y,y \ 1)). R(x,K(y \ 1,y),z) = R(x,z,K(y \ 1,(y \ 1) \ 1)). R(x,y,K(z \ 1,(z \ 1) \ 1)) = R(x,K(z \ 1,z),y). R(x,y,K(z \ 1,z)) = R(x,K(z \ 1,z),y). R(x,K(y \ 1,y),z) = R(x,z,K(y \ 1,y)). (K(x \ 1,x) * ((y * z) * u)) / (z * u) = R(K(x \ 1,x) * y,z,u). (x / (y * z)) \ ((x / z) / y) = ((x / z) / y) / (x / (y * z)). ((x / y) / z) / (x / (z * y)) = (x / (z * y)) \ ((x / y) / 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. K(x,x \ 1) * R(K(x \ 1,x) * y,z,u) = R(y,z,u). K(x,x \ 1) * R(x \ 1,y,z) = R(1 / x,y,z). K(x,x \ 1) * R(y,z,u) = R(K(x,x \ 1) * y,z,u). R(K(x,x \ 1) * y,z,u) = K(x,x \ 1) * R(y,z,u). R(K(x,x \ 1) * y,z,u) = R(y,z,u) * K(x,x \ 1). (x \ T(x,(x \ 1) * y)) * y = y * K(((x \ 1) * y) \ y,(x \ 1) * y). R(x * y,z,u) = (y \ R(y * x,z,u)) * y. (x \ R(x * y,z,u)) * x = R(y * x,z,u). R(x * y,z,u) / y = y \ R(y * x,z,u). (x \ R(y,z,u)) * x = R((x \ y) * x,z,u). R((x \ y) * x,z,u) = (x \ R(y,z,u)) * x. R(x,y,z) / u = u \ R(u * (x / u),y,z). x \ R(x * (y / x),z,u) = R(y,z,u) / x. R((x \ (y / z)) * x,z,z \ 1) = (x \ (y * (z \ 1))) * x. R((x \ (1 / y)) * x,y,x) * (y * x) = x * ((y * x) * T((y * x) \ 1,x)). R((x \ (y / (1 / z))) * x,z \ 1,z) = (x \ (y * z)) * x. x * (R(y,z,u) / x) = R(x * (y / x),z,u). R(x * (y / x),z,u) = x * (R(y,z,u) / x). R(x * ((y / z) / x),z,y \ u) * (z * (y \ u)) = (x * ((u / (z * (y \ u))) / x)) * (z * (y \ u)). x * y != R((z \ (u / w)) * z,w,w \ 1) | ((z \ (u * (w \ 1))) * z) / y = x. ((x \ (y * (z \ 1))) * x) / (z \ 1) = ((x \ (y / z)) * x) * z. x != R((y \ (y / (1 / z))) * y,z \ 1,z) | x = (y * (z \ T(z,y))) * z. (x \ (x * y)) * x = (x * (y \ T(y,x))) * y. x * y != R((z \ (u / (1 / w))) * z,w \ 1,w) | ((z \ (u * w)) * z) / y = x. ((x \ (y * z)) * x) / z = ((x \ (y / (1 / z))) * x) * (1 / z). ((x \ (y / (1 / z))) * x) * (1 / z) = ((x \ (y * z)) * x) / z. ((x \ (1 * y)) * x) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ (1 * x)) * y) / ((1 / x) \ 1). x * y = (y * (x \ T(x,y))) * x. (x * (y \ T(y,x))) * y = y * x. (x * y) / x = y * (x \ T(x,y)). x * (y \ T(y,x)) = (y * x) / y. x * y != z * (z \ u) | u / y = x. x / y = (y \ x) * (y \ T(y,y \ x)). (x \ y) * (x \ T(x,x \ y)) = y / x. x \ ((y * x) / y) = y \ T(y,x). x * y != (z * R(u,z,z \ 1)) / z | x \ ((z * u) * (z \ 1)) = y. R(x,y,y \ 1) \ ((y * x) * (y \ 1)) = y \ T(y,R(x,y,y \ 1)). x * y != ((z / u) * u) / w | x \ (z / w) = y. x \ (y / (y / x)) = (y / x) \ T(y / x,x). (x / y) \ T(x / y,y) = y \ (x / (x / y)). x * y != (z * T(u,z)) / z | x \ u = y. T(x,y) \ x = y \ T(y,T(x,y)). (x \ 1) * y != (z * (x \ 1)) / z | y = x * ((z * (x \ 1)) / z). x \ T(x,y \ 1) = y * ((x * (y \ 1)) / x). x * ((y * (x \ 1)) / y) = y \ T(y,x \ 1). x * y != (z * x) / z | y = ((z * x) / z) / x. x \ T(x,y) = ((x * y) / x) / y. ((x * y) / x) / y = x \ T(x,y). x != y * (z \ T(z,y)) | x = (z \ T(z,y)) * y. (x * y) / x = (x \ T(x,y)) * y. (x \ T(x,y)) * y = (x * y) / x. (x * y) \ ((x * y) / x) = L(x \ 1,T(x,y),y). ((x * y) / x) * (y \ 1) = x \ T(x,y). x * (y * T(y \ 1,x)) = ((y \ 1) * x) / (y \ 1). ((x \ 1) * y) / (x \ 1) = y * (x * T(x \ 1,y)). x * K(y,x) = ((L(y \ 1,y,x) \ 1) * x) / (L(y \ 1,y,x) \ 1). ((L(x \ 1,x,y) \ 1) * y) / (L(x \ 1,x,y) \ 1) = y * K(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). 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 * (T(z,x) \ z))) * x = (((z * x) / z) * T(((z * x) / z) \ y,x)) * (((z * x) / z) \ x). (((x * y) / x) * T(((x * y) / x) \ z,y)) * (((x * y) / x) \ y) = (y \ (z * (T(x,y) \ x))) * y. ((x * y) / x) * (y \ ((T(x,y) \ x) * z)) = L(z,((x * y) / x) \ y,(x * y) / x). K(x \ (T(y,x) \ y),x) = K(x \ 1,x). L(x,y,y \ 1) \ ((1 / y) * (x * y)) = T(y,(1 / y) * (x * y)) \ y. (x \ T(x,y)) \ y = T(y,T(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) \ (y / x) = x \ ((x \ y) \ y). 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) \ (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). K(x,(x / y) / x) = x \ T(x,y \ 1). x != y * ((z * (y \ 1)) / z) | x = (z * ((y \ z) / z)) / (y \ z). x \ T(x,y \ 1) = (x * ((y \ x) / x)) / (y \ x). (x * ((y \ x) / x)) / (y \ x) = x \ T(x,y \ 1). x != L(y,z,u) * ((w * (L(y,z,u) \ 1)) / w) | x = L(y * ((w * (y \ 1)) / w),z,u). x \ T(x,L(y,z,u) \ 1) = L(y * ((x * (y \ 1)) / x),z,u). L(x * ((y * (x \ 1)) / y),z,u) = y \ T(y,L(x,z,u) \ 1). x != (y \ z) * ((u * ((y \ z) \ 1)) / u) | x = y \ (z * ((u * (z \ y)) / u)). x \ T(x,(y \ z) \ 1) = y \ (z * ((x * (z \ y)) / x)). x \ (y * ((z * (y \ x)) / z)) = z \ T(z,(x \ y) \ 1). x \ T(x,y \ 1) != z | K(x,(x / y) / x) = z. 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). x * K(x,(x / y) / x) = T(x,y \ 1). x != y * K(y,(y / 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 * K(x,y / x) = T(x,(y \ x) \ 1). T(x,(y \ x) \ 1) = x * K(x,y / x). x * K(x,(y \ x) / x) = T(x,T(y,y \ x) \ 1). T(x,T(y,y \ x) \ 1) = x * K(x,(y \ x) / x). (x * ((x / y) / x)) * y = T(x,y \ 1). T(x,y \ 1) = T(x,x / (y * x)). T(x,x / (y * x)) = T(x,y \ 1). x * y != T(z,z / (z * u)) | T(z,u \ 1) / y = x. T(x,y \ 1) / y = x * ((x / y) / x). x \ 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,(y \ x) \ 1) / (y \ x) = x * (y / x). T(x,y) / (1 / y) = x * ((x / (1 / y)) / x). x * ((x * y) * (y / (x * y))) = T(x * 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). ((x \ T(y,x \ 1)) * y) / (x \ y) = R(y,(x \ y) / y,y). R(x,(y \ x) / x,x) = ((y \ T(x,y \ 1)) * x) / (y \ x). 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. T(((x / y) / x) * ((x \ 1) \ 1),y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x. x * y != z * ((z / (1 / u)) / z) | x \ (T(z,u) / (1 / u)) = y. x \ (T(x,y) / (1 / y)) = (x / (1 / y)) / x. x != (y / z) \ T(y,(y / z) \ 1) | x = (((y / z) \ 1) \ z) * ((y / z) \ 1). x * (y / x) = (((x / y) \ 1) \ y) * ((x / y) \ 1). (((x / y) \ 1) \ y) * ((x / y) \ 1) = x * (y / x). (x * (T(x,y) \ x)) \ y = x \ ((x * y) / x). x * R(1 / (1 / y),1 / y,(1 / y) \ x) = (1 / y) \ T(x,y). (((x * y) \ 1) * x) / ((x * y) \ 1) = x * (((x \ (1 / y)) * x) * y). x != K(y,(y / z) / y) | x = y \ T(y,z \ 1). T(x \ T(x,y \ 1),z) = x \ T(x,T(y,z) \ 1). x \ T(x,T(y,z) \ 1) = T(x \ T(x,y \ 1),z). T(x,T(y,y \ x) \ 1) != x * z | K(x,(y \ x) / x) = z. x * y != T(x * z,x \ 1) | y = ((x \ 1) \ z) * (x \ 1). (x * y) * (y / (x * y)) = ((x \ 1) \ y) * (x \ 1). ((x \ 1) \ y) * (x \ 1) = (x * y) * (y / (x * y)). x \ (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). 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. L((T(x,T(y,x)) * z) / (x * z),T(y,x),x) = R((y * x) \ (x * y),x,z). R(x \ T(x,y \ 1),z,u) = x \ T(x,R(y,z,u) \ 1). x != ((y \ (z / (1 / u))) * y) * (1 / u) | x = y * (T((y \ z) * u,y) / u). ((x \ (y * z)) * x) / z = x * (T((x \ y) * z,x) / z). x * (T((x \ y) * z,x) / z) = ((x \ (y * z)) * x) / z. L(x \ T(x,y \ 1),z,u) = x \ T(x,L(y,z,u) \ 1). (x \ T(x,y \ 1)) * (y * z) = y * ((x \ T(x,y \ 1)) * z). x * R(1 / (1 / y),y \ 1,(1 / y) \ x) = (1 / y) \ T(x,y). ((1 / x) \ y) \ ((1 / x) \ T(y,x)) = K(y,((x \ 1) \ y) / y). K(x,((y \ 1) \ x) / x) = ((1 / y) \ x) \ ((1 / y) \ T(x,y)). x != ((1 / y) \ z) \ ((1 / y) \ T(z,y)) | x = K(y \ ((y \ 1) \ z),y). K(x,((y \ 1) \ x) / x) = K(y \ ((y \ 1) \ x),y). K(x \ ((x \ 1) \ y),x) = K(y,((x \ 1) \ y) / y). T(K(x,y),x * K(z,x)) = K(x,y). (x * K(y,x)) * K(x,z) = K(x,z) * (x * K(y,x)). K(x,y) * (x * K(z,x)) = (x * K(z,x)) * K(x,y). x != ((y \ 1) * z) / (y \ 1) | x = ((1 / y) * z) / (1 / y). x * (((x \ (1 / y)) * x) * y) = ((1 / (x * y)) * x) / (1 / (x * y)). ((1 / (x * y)) * x) / (1 / (x * y)) = x * (((x \ (1 / y)) * x) * y). (((x * y) \ 1) * x) / ((x * y) \ 1) != x * z | ((x \ (1 / y)) * x) * y = z. x != ((y * z) / y) * (z \ 1) | x = y \ T(y,z). ((x \ y) * x) / y = ((x \ 1) * y) \ T((x \ 1) * y,x). ((x \ 1) * y) \ T((x \ 1) * y,x) = ((x \ y) * x) / y. x != ((y \ 1) * z) \ T((y \ 1) * z,y) | x = L(K(y \ z,y),z,y \ 1). ((x \ y) * x) / y = L(K(x \ y,x),y,x \ 1). L(K(x \ y,x),y,x \ 1) = ((x \ y) * x) / y. L(K(x,y),y * x,y \ 1) = ((y \ (y * x)) * y) / (y * x). ((x \ (x * y)) * x) / (x * y) = L(K(y,x),x * y,x \ 1). (x * y) / (y * x) = L(K(x,y),y * x,y \ 1). L(K(x,y),y * x,y \ 1) = (x * y) / (y * x). x != L(y,z,z \ 1) \ ((1 / z) * (y * z)) | x = L(K(y,z),z * y,z \ 1). T(x,(1 / x) * (y * x)) \ x = L(K(y,x),x * y,x \ 1). L(K(x,y),y * x,y \ 1) = T(y,(1 / y) * (x * y)) \ y. L(K(x,y),y * x,y \ 1) = T(y,(y \ 1) * (x * y)) \ y. x != L(K(y,z),z * y,z \ 1) | x = (y * z) / (z * y). T(x,(x \ 1) * (y * x)) \ x = (y * x) / (x * y). x * (((y * x) / (x * y)) \ 1) = T(x,(x \ 1) * (y * x)). x != y * K(z \ y,z) | x = (z \ y) * z. (x \ T(x,(x \ 1) * y)) * y = (((x \ 1) * y) \ y) * ((x \ 1) * y). (((x \ 1) * y) \ y) * ((x \ 1) * y) = (x \ T(x,(x \ 1) * y)) * y. L((T(x,T(y,x)) * z) / (x * z),T(y,x),x) = R(K(x,y),x,z). (((x \ (1 / y)) * x) * y) * x = x * ((y * x) * T((y * x) \ 1,x)). x * ((y * x) * T((y * x) \ 1,x)) = (((x \ (1 / y)) * x) * y) * x. x * (y * (x * T(x \ (y \ 1),x))) = (((x \ (1 / y)) * x) * y) * x. x * (y * ((x \ (y \ 1)) * x)) = (((x \ (1 / y)) * x) * y) * x. (((x \ (1 / y)) * x) * y) * x = x * (y * ((x \ (y \ 1)) * x)). x != y \ T(y,R(z,u,w) \ 1) | x = R(y \ T(y,z \ 1),u,w). T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = R(x \ T(x,(z \ 1) \ 1),z,y). 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) / x) * (y \ ((T(x,y) \ x) * z)) = L(z,T(x,y) \ x,(x * y) / x). T((x \ 1) * (x * ((y * (x \ z)) / y)),y) != u | L((x \ 1) * z,K(x,x \ 1),y) = u. T((x / y) * K(x,x \ 1),y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x. T(((x \ 1) \ 1) / y,y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x. (x \ ((y \ 1) \ 1)) * K(y \ 1,y) = (y \ (x \ T(y,x \ 1))) * y. (x \ ((y \ 1) \ 1)) * K(y \ 1,y) = ((x \ y) / y) * y. (x \ ((y \ 1) \ 1)) * K(y \ 1,y) = x \ y. x * K(y \ 1,y) != (z / u) * u | x = z * K(y,y \ 1). x \ ((y \ 1) \ 1) = (x \ y) * K(y,y \ 1). (x \ y) * K(y,y \ 1) = x \ ((y \ 1) \ 1). (x \ ((y \ 1) \ 1)) * z = K(y,y \ 1) * ((x \ y) * z). K(x,x \ 1) * ((y \ x) * z) = (y \ ((x \ 1) \ 1)) * z. (x \ 1) * ((y \ ((x \ 1) \ 1)) * z) = (1 / x) * ((y \ x) * z). L((x \ ((y \ 1) \ 1)) * z,y \ 1,y) = y * ((1 / y) * ((x \ y) * z)). (K(x \ 1,x) * (y * z)) \ (K(x \ 1,x) * (y * (z * u))) = L(u,z,y * K(x \ 1,x)). 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). R(x / (y * K(1 / z,z)),y / K(z,1 / z),K(z,1 / z)) = K(z,1 / z) * (x / y). L(L(x,y,z),z * y,K(u \ 1,u)) = L(x,y,z * K(u \ 1,u)). x != L(y,z,K(u \ 1,u)) | x = y. L(x,y,z * K(u \ 1,u)) = L(x,y,z). L(x,y,K(z \ 1,z) * u) = L(x,y,u). L(x,y,z * u) = L(x,y,((z \ 1) \ 1) * u). L(x,y,((z \ 1) \ 1) * u) = L(x,y,z * u). K(((x / y) / z) \ 1,R((x / y) / z,z,y)) = K((x / (z * y)) \ 1,x / (z * y)). x != K((y / z) \ 1,y / z) | x = K(y \ z,z \ y). K(((x / y) / z) \ 1,R((x / y) / z,z,y)) = K(x \ (z * y),(z * y) \ x). K(((x / y) / z) \ 1,x / (z * y)) = K(x \ (z * y),(z * y) \ x). (1 / (x \ 1)) / T(y,y \ T(x,x \ 1)) = (y \ ((x \ 1) \ 1)) * K(x \ 1,x). x / T(y,y \ T(x,x \ 1)) = (y \ ((x \ 1) \ 1)) * K(x \ 1,x). x != (y \ ((z \ 1) \ 1)) * K(z \ 1,z) | x = y \ z. x / T(y,y \ T(x,x \ 1)) = y \ x. (1 / 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)). 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. (K(x \ 1,x) * (y * (z * u))) \ ((K(x \ 1,x) * (y * z)) * u) = a(y * K(x \ 1,x),z,u). (K(x \ 1,x) * (y * (z * u))) \ (K(x \ 1,x) * ((y * z) * u)) = a(y * K(x \ 1,x),z,u). L(a(x,y,z),x * (y * z),K(u \ 1,u)) = a(x * K(u \ 1,u),y,z). a(x * K(y \ 1,y),z,u) = a(x,z,u). a(x \ 1,y,z) = a(1 / x,y,z). a(1 / x,y,z) = a(x \ 1,y,z). a(1 / (1 / x),y,z) = a(x,y,z). x * y != a(1 / z,u,w) | a(z \ 1,u,w) / y = x. a((x * y) \ 1,x,y) / y = (1 / (x * y)) * x. ((1 / (x * y)) \ T(1 / (x * y),x)) * x = (a((x * y) \ 1,x,y) / y) / (1 / (x * y)). (a((x * y) \ 1,x,y) / y) / (1 / (x * y)) = ((1 / (x * y)) \ T(1 / (x * y),x)) * x. (a((x * y) \ 1,x,y) / y) / (1 / (x * y)) = x * (((x \ (1 / y)) * x) * y). (a((x * y) \ 1,x,y) / y) / (1 / (x * y)) != x * z | ((x \ (1 / y)) * x) * y = z. (a((x * y) \ 1,x,y) / y) / (1 / (x * y)) = ((x * y) * T((x * y) \ 1,x)) * x. (a((x * y) \ 1,x,y) / y) / (1 / (x * y)) = (((x \ (1 / y)) * x) * y) * x. x != (((y \ (1 / z)) * y) * z) * y | x = y * (z * ((y \ (z \ 1)) * y)). (a((x * y) \ 1,x,y) / y) / (1 / (x * y)) = x * (y * ((x \ (y \ 1)) * x)). ((x \ (1 / y)) * x) * y = y * ((x \ (y \ 1)) * x). ((x \ y) * x) * (y \ 1) = (y \ 1) * ((x \ ((y \ 1) \ 1)) * x). (x \ 1) * ((y \ ((x \ 1) \ 1)) * y) = ((y \ x) * y) * (x \ 1). x != (y \ 1) * ((z \ ((y \ 1) \ 1)) * u) | x = (1 / y) * ((z \ y) * u). ((x \ y) * x) * (y \ 1) = (1 / y) * ((x \ y) * x). (x \ 1) * y != (1 / x) * ((z \ x) * z) | T((z \ x) * z,x \ 1) = y. T((x \ y) * x,y \ 1) = K(y,y \ 1) * ((x \ y) * x). K(x,x \ 1) * ((y \ x) * y) = T((y \ x) * y,x \ 1). x != ((y \ z) * y) * (z \ 1) | x = ((y \ z) * y) / z. (1 / x) * ((y \ x) * y) = ((y \ x) * y) / x. ((x * (y * T(y \ T(z,x),y))) / x) * (((x * y) / x) \ y) = (y \ (z * (T(x,y) \ x))) * y. ((x * ((y \ T(z,x)) * y)) / x) * (((x * y) / x) \ y) = (y \ (z * (T(x,y) \ x))) * y. ((x * ((y \ T(z,x)) * y)) / x) * (T(x,y) \ x) = (y \ (z * (T(x,y) \ x))) * y. ((x * ((y / z) / x)) * z) * (y \ u) = (x * ((u / (z * (y \ u))) / x)) * (z * (y \ u)). (x * ((y / (z * (u \ y))) / x)) * (z * (u \ y)) = ((x * ((u / z) / x)) * z) * (u \ y). x != (y * ((z / (u * (y \ z))) / y)) * (u * (y \ z)) | x = y * ((y \ T(y,u \ 1)) * (y \ z)). ((x * ((x / y) / x)) * y) * (x \ z) = x * ((x \ T(x,y \ 1)) * (x \ z)). T(x,y \ 1) * (x \ z) = x * ((x \ T(x,y \ 1)) * (x \ z)). x * ((x \ T(x,y \ 1)) * (x \ z)) = T(x,y \ 1) * (x \ z). x * ((x \ T(x,y)) * (x \ z)) = T(x,(y \ 1) \ 1) * (x \ z). T(x,(y \ 1) \ 1) * (x \ z) = x * ((x \ T(x,y)) * (x \ z)). T(x,y) * (x \ z) = x * ((x \ T(x,y)) * (x \ z)). x * ((x \ T(x,y)) * (x \ z)) = T(x,y) * (x \ z). x * ((x \ T(x,y)) * z) = T(x,y) * (x \ (x * z)). T(x,y) * (x \ (x * z)) = x * ((x \ T(x,y)) * z). T(x,y) * z = x * ((x \ T(x,y)) * z). x * ((x \ T(x,y)) * z) = T(x,y) * z. T(x,y) \ z = (x \ T(x,y)) \ (x \ z). (x \ T(x,y)) \ (x \ 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 * ((x * y) / x) = T(x,y) * y. T(x,y) * y = x * ((x * y) / x). x * y != L(z,u \ T(u,w),u) | x \ z = y. (x \ T(x,y)) \ z = x * (T(x,y) \ z). L(x,T(y,T(z,y)) \ y,z) = x. L(x,T(y,z) \ y,(y * z) / y) = x. T(x,y) * (x \ y) = (x * y) / x. x * y != z * ((z * y) / z) | x = T(z,z / (z / y)). T(x,y) = T(x,x / (x / y)). T(x,x / (x / y)) = T(x,y). T(x,x \ y) * (x \ y) = x * (y / x). T(x / y,y) * y = (x / y) * (x / (x / y)). T(x,T(y,x)) * T(y,x) = x * y. ((T(x,y) * y) / x) \ ((x * (x * y)) / x) = L(x,(x * y) / x,x). x != T(y,y / (y / z)) | x = (y / z) * ((y * z) / y). T(x,y) = (x / y) * ((x * y) / x). 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). x != T(y,y / (z \ 1)) | x = T(y,z * y). T(x,(y \ 1) \ x) = T(x,y * x). T(T(x,y \ x) / y,x) = x / y. T(x,T(y,y \ x)) = T(x,y). T(x / y,T(y,x)) = y \ x. T(x,y) \ ((x * y) / x) = x \ y. L(x,y \ z,T(y,z)) = ((y * z) / y) \ (T(y,z) * ((y \ z) * x)). ((x * y) / x) \ (T(x,y) * ((x \ y) * z)) = L(z,x \ y,T(x,y)). L((x \ y) \ z,x \ y,T(x,y)) = ((x * y) / x) \ (T(x,y) * z). ((x * y) / x) \ R(T(x,y),x \ y,(x \ y) \ 1) = (x \ y) \ 1. L(((x * y) / x) / y,y,x) = K(T(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 * T(y,x) | T(x,T(y,x)) = z. x * T(y,z) != z * y | T(z,T(y,z)) = x. ((x * y) / x) * z != T(x,y) | T(x / y,(x * y) / x) = z. T(x / y,(x * y) / x) = y \ x. R(T(x,x * y),y,x) = (x / T(y,x)) * y. x * y != T(z,T(x,z)) | T(z / T(x,z),x) = y. T(x / T(y,x),y) = T(y,x) \ x. x \ T(x * y,y) = ((x * y) * y) / (x * y). ((x * y) * y) / (x * y) = x \ T(x * y,y). T(x,x \ y) \ (y / x) = x \ (x \ y). T(T(x,y) * L(x \ y,z,u),x) = T(T(x,y),x) * L(T(T(x,y),x) \ y,z,u). T(T(x,y),x) * L(T(T(x,y),x) \ y,z,u) = T(T(x,y) * L(x \ y,z,u),x). T(x,y) * T(x \ y,x) = (x \ y) * T(x,y). x \ (y * T(y \ x,T(y,x))) = K(y \ x,y). x * T(T(x,y) \ y,z) = T(y / T(x,y),z) * x. T(x / T(y,x),z) * y = y * T(T(y,x) \ x,z). 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,T(y,x) \ y,z) = x. R(x,K(y,x) \ 1,z) = x. 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) * (x \ 1) != z | z = x \ T(x,y). T(x,y) * (x \ 1) != z | x \ T(x,y) = z. (T(x,y) * z) / (x * z) = x \ T(x,y). (x \ T(x,y)) \ (T(x,y) * z) = x * z. (x \ T(x,y)) \ (T(x,y) * z) != u | u = x * z. (x \ T(x,y)) \ (T(x,y) * z) != u | x * z = u. (x \ T(x,y)) \ (x \ z) != u | T(x,y) \ z = u. T(x,x \ y) \ (x * (y / x)) = x \ y. T(x,x \ (y \ x)) \ (y \ T(x,y \ 1)) = x \ (y \ x). x != T(y,z) * (y \ u) | x = (y \ T(y,z)) * u. x * (y / x) = (x \ T(x,x \ y)) * y. (x \ T(x,x \ y)) * y = x * (y / x). x * (x * T(T(x,x \ (y * x)) \ ((y * x) / x),z)) = (x * T(x \ y,z)) * x. 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). T(x,x \ y) * (x \ y) != z | z = x * (y / x). T(x,x \ y) * (x \ y) != z | x * (y / x) = z. L(x \ T(x,y),y,x) = K(T(x,y),y). x != L(y \ T(y,T(z,y)),T(z,y),y) | x = K(y,z). K(T(x,T(y,x)),T(y,x)) = K(x,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)). (1 / x) * T(x,y) != z | x \ T(x,y) = z. (x \ y) * x = (y / x) * (y / (y / x)). (x / y) * (x / (x / y)) = (y \ x) * y. ((x \ y) * x) * x = y * (y / (y / x)). R(x,y,x) = T(y \ T(y * x,x),y). T(x \ T(x * y,y),x) = R(y,x,y). (x \ T(x * y,y)) * x = x * R(y,x,y). x * R(y,x,y) != z | (x \ T(x * y,y)) * x = z. (x * R(y,x,y)) \ T(x * y,y) = K(x,x \ T(x * y,y)). x * (((y * x) / y) \ z) = (T(y,x) \ y) * z. x \ (y * (T(y,x) \ y)) = ((y * x) / y) \ y. 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) \ 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 * y != (z / u) * ((w / u) \ w) | z / y = x. x / (y * (x / y)) = T(y,x / y) \ y. T(x,y / x) \ x = y / (x * (y / x)). x * y = (T(y,x) \ y) * (y * x). (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,T((x \ 1) * y,x)) = T(x,x \ y). T(x \ T(x * y,y),T(x * y,y)) = L(R(y,x * y,y),x * y,y). (x \ y) \ (y / x) = (x * (y / x)) / y. (x * (y / x)) / y = (x \ y) \ (y / x). x != (y \ z) \ (z / y) | x = y \ ((y \ z) \ z). (x * (y / x)) / y = x \ ((x \ y) \ y). x != (y * ((z \ y) / y)) / (z \ y) | x = y \ T(y,z \ 1). x \ ((x \ (y \ x)) \ (y \ x)) = x \ T(x,y \ 1). (x \ T(x,y)) \ z != u | x * (T(x,y) \ z) = u. x != y \ (z * T(z \ y,T(z,y))) | x = K(z \ y,z). K(x \ y,T(x,y)) = K(x \ y,x). K(x \ (x * y),x) = K(y,T(x,x * y)). K(x,T(y,y * x)) = K(x,y). K(x \ 1,T(y,x \ y)) = K(x \ 1,y). K((x \ 1) \ 1,T(y,x * y)) = K((x \ 1) \ 1,y). 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 != y | x = 1 * y. L(x,y,K(y,z)) = 1 * x. L(x,y,K(y,z)) != u | u = x. x * T(x \ 1,y) = ((x \ z) / z) \ T((x \ z) / z,y). ((x \ y) / y) \ T((x \ y) / y,z) = x * T(x \ 1,z). (x \ T(x,y \ 1)) * x = T(x,x \ (y \ x)). T(x,y \ 1) = T(x,x \ (y \ x)). T(x,x \ (y \ x)) = T(x,y \ 1). T(x * y,(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(y,x \ 1) = y \ (x \ y). T(x,y \ 1) \ x = x \ ((y \ x) / ((y \ x) / x)). x \ ((y \ x) / ((y \ x) / x)) = T(x,y \ 1) \ x. (x / y) \ T(x,x \ y) = x * (y / x). (x \ ((1 / y) \ x)) * T(x,y) = (1 / y) \ x. ((x \ 1) \ y) / T(y,x) = y \ ((x \ 1) \ y). (x / (y * x)) \ T(x,x \ (y * x)) = x * y. ((x / y) * ((x * (y / x)) / T(x,x \ y))) * ((x / y) \ 1) = R(1 / (x / y),x / y,(x / y) \ T(x,x \ y)). x / T(y * x,y \ 1) = (y * x) \ x. (x / (y * x)) \ T(x,T(y,x)) = x * y. K((x \ 1) \ 1,y) = K(x,T(y,x * y)). K(x,T(y,x * y)) = K(x,y). K(x,T(x \ y,y)) = K(x,x \ y). T(x,y \ 1) \ (y \ T(x,y \ 1)) = x \ (y \ x). T(L(x,y,y \ 1),(1 / y) \ 1) \ ((1 / y) \ T(L(x,y,y \ 1),(1 / y) \ 1)) = L(x,y,y \ 1) \ (y * x). x != (y / z) \ T(y / z,z) | x = z \ (y / (y / z)). x * T(x \ 1,y) = y \ ((x \ y) / ((x \ y) / y)). x \ ((y \ x) / ((y \ x) / x)) = y * T(y \ 1,x). (x * T(x \ 1,y)) \ y = T(y,T((x \ z) / z,y)). T(x,T((y \ z) / z,x)) = (y * T(y \ 1,x)) \ x. x != y \ ((z \ y) / ((z \ y) / y)) | x = T(y,z \ 1) \ y. x * T(x \ 1,y) = T(y,x \ 1) \ y. T(x,y \ 1) \ x = y * T(y \ 1,x). x != y * T(y \ 1,z) | x = K(z \ (z / y),z). T(x,y \ 1) \ x = K(x \ (x / y),x). K(x \ (x / y),x) = T(x,y \ 1) \ x. T(x,(y \ 1) \ 1) \ x = y \ T(y,x). L(x,T(y \ 1,z),y) = (T(z,y \ 1) \ z) \ (y * (T(y \ 1,z) * x)). (T(x,y \ 1) \ x) \ (y * (T(y \ 1,x) * z)) = L(z,T(y \ 1,x),y). x * ((y \ (x \ y)) * y) = y * (T(y,x \ 1) \ y). x * (T(x,y \ 1) \ x) = y * ((x \ (y \ x)) * x). T(x,y \ 1) \ x != z | y * T(y \ 1,x) = z. K(x \ (x / y),x) \ x = T(x,y \ 1). T(x,y) \ x = y \ T(y,x). T(x,y / x) \ x = x \ (y / (y / x)). x * (T(x,y) \ x) = (y * x) / y. (x * y) / x = y * (T(y,x) \ y). x * ((T(y,x) \ y) * z) = T(x,y) * z. (T(x,y) \ x) * z = T(y,x) * (y \ z). T(x,y) * (x \ z) = (T(y,x) \ y) * z. K(x,y) = T(x \ T(x,y),y * x). x != y * (T(y,y \ z) \ y) | x = z / (z / y). ((x \ y) * x) / (x \ y) = y / (y / x). T(x * (T(x,y) \ x),y) = x. ((x * y) / x) \ x = y \ ((y * x) / y). T(x / (x / y),y \ x) = y. T(x,y) = T(T(z / (z / x),y),x \ z). T(T(x / (x / y),z),y \ x) = T(y,z). T(x / (x / (x / y)),y) = x / y. (x \ y) * x = (y / (y / x)) * (x \ y). (x / (x / y)) * (y \ x) = (y \ x) * y. x != T(y \ T(y,z \ 1),u) | x = y \ T(y,T(z,u) \ 1). K(x,y \ 1) = x \ T(x,T(y,(y \ 1) * x) \ 1). x \ T(x,T(y,(y \ 1) * x) \ 1) = K(x,y \ 1). (x * (y / x)) / x = y / (y / (y / x)). R(x / y,x / (x / y),x / y) = T((x * (x / y)) / x,y). K(x \ y,x) \ x = T(x,(y \ x) \ 1). T(x,(y \ x) \ 1) = K(x \ y,x) \ x. x != T(y,z / y) \ y | x = z / (y * (z / y)). x \ (y / (y / x)) = y / (x * (y / x)). x / (y * (x / y)) = y \ (x / (x / y)). (x / y) * z != T(x / y,u) * x | z = y * T(y \ x,u). (T(x,y / z) \ x) * y = z * T(z \ y,x). x * y = T(x,y) * T(y,x). T(x,y) * T(y,x) = x * y. x * (x * y) = T(x,y) * (y * x). T(x,y) * (y * x) = x * (x * y). T(x,T(y,x)) = T(x,y). (x / T(y,x)) * y = T(x,y). x * (T(x,y) \ y) = T(y,x). T(x,y) * (x \ T(y,x)) = y. (x * y) / T(y,x) = T(x,y). T(x,y) \ (x * y) = T(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). R(x,T(y,z),T(z,y)) * (y * z) = (x * T(y,z)) * T(z,y). (x * y) * z != T(x,y) * (T(y,x) * u) | L(u,T(y,x),T(x,y)) = z. T(x,y) * (T(y,x) * z) != (x * y) * u | L(z,T(y,x),T(x,y)) = u. ((x \ y) \ y) \ y = T(x \ y,x). T(x \ y,x) = ((x \ y) \ y) \ y. x != T(y,T(z,y)) | x = R(T(y,y * z),z,y). T(x,y) = R(T(x,x * y),y,x). R(T(x,x * y),y,x) = T(x,y). x != T(y,T((y \ 1) * z,y)) | x = T(y,y \ z). T(x,(x \ 1) * y) = T(x,x \ y). x * y != T(z,T(u,z)) | T(z,u) / y = x. T(x,y) / y = x / T(y,x). T(x,y) / (T(y,x) \ x) = y. x * y != T(z,T(u,z)) | x \ T(z,u) = y. x \ T(y,x) = T(x,y) \ y. T(x,y) \ y = x \ T(y,x). T(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,L(T(y,x),z,u)) = T(x,L(y,z,u)). T(x,x \ y) = T(x,y / x). T(x,y / x) = T(x,x \ y). T(x,y) * T(T(y,x),z) = T(y,z) * T(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(x,T(y,y * x)) = T(x,L(y,x,y)). T(x,y) * T(T(y,x),z) != u | T(y,z) * T(x,y) = u. K(T(x,y),T(y,x)) = K(x,y). (x / (y * x)) \ T(x,y) = x * y. T(x,y) / T(y,x) = x / T(T(y,x),x). (x * R(y,z,u)) / R(T(y,x),z,u) = T(x,R(y,z,u)). T(x,y) * T(T(y,x),x * y) = (T(y,x) * (x * y)) / T(y,x). (T(x,y) * (y * x)) / T(x,y) = T(y,x) * T(T(x,y),y * x). (x \ (y * x)) \ (y * x) = T(x,y). T(x,y) = (x \ (y * x)) \ (y * x). (T(x,y) / y) \ x = T(y,x). T(x * (y / x),x) = x * (y / T(x,y)). T(x,T(y,z)) / (T(T(y,x),z) \ x) = T(y,z). x * (T(x,y) \ y) != z | z = T(y,x). x * (T(x,y) \ y) != z | T(y,x) = z. T(x,y) \ ((T(y,x) \ x) * y) = K(y \ T(x,y),y). (T(x,y) * ((x \ T(y,x)) * z)) \ (y * z) = a(T(x,y),T(x,y) \ y,z). T(x,x * y) * R(x \ T(x * y,x),z,u) = T(x * R(y,z,u),x * y). ((x \ T(y,x)) * T(x,y)) * T(x,y) = y * (y / (y / T(x,y))). 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 / x)) / T(x,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 \ (T(x,y / x) / (1 / (x \ y))) = (x / (1 / (x \ y))) / x. T(x,T(y,x / y)) = T(x,y). (x * (y / x)) * x = y * ((x \ y) \ y). T(x * y,T(y,x)) = T(x * y,y). R(T(x,y),x \ y,x) = T(x,x \ y). (x * y) * T(x,y) = R(x,y,x) * (x * y). R(x,y,x) * (x * y) = (x * y) * T(x,y). T(x,y) * L(R(T(x,x * y),y,x) \ 1,z,u) = R(T(x,x * y) * L(T(x,x * y) \ 1,z,u),y,x). R(T(x,x * y) * L(T(x,x * y) \ 1,z,u),y,x) = T(x,y) * L(R(T(x,x * y),y,x) \ 1,z,u). L(x,y,T(x,y)) = ((T(x,y) * y) / x) \ ((x * (x * y)) / x). ((T(x,y) * y) / x) \ ((x * (x * y)) / x) = L(x,y,T(x,y)). x / T(y \ x,y) = (y \ x) \ x. L((((x \ y) \ z) \ z) \ z,x \ y,x) = T(y \ (x * z),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 \ 1) * y) \ ((x * (x \ 1)) * y) = R(T(x,x \ y),x \ 1,y). (((x \ 1) * y) \ y) * ((x \ 1) * y) = (x \ T(x,x \ y)) * y. T(T(x,y),L(T(z,x),u,w)) = T(T(x,L(z,u,w)),y). T(x,T(T(y,x),z)) = T(x,T(y,T(z,T(y,x)))). T(x,T(y,T(z,T(y,x)))) = T(x,T(T(y,x),z)). T(x,y) / (x * y) = x / (y * x). x / T(y,(1 / y) * x) = y \ x. x != y / (z * y) | x = R(1 / z,z,y). T(x,y) / (x * y) = R(1 / y,y,x). x / T(y \ 1,y * x) = (y \ 1) \ x. T(x,T(y,x)) != z | T(x,y) = z. T(x,x \ y) != z | T(x,y / x) = z. K(x,y) != z | T(K(x,y),x) = z. R(T(x,y),x \ y,x) = (x \ y) \ y. R(1 / x,x,T(y,x)) = R(1 / x,x,y). R(1 / x,x,y) * R((T(y,x) / (y * x)) \ 1,z,u) = (T(y,x) * R(T(y,x) \ (y * x),z,u)) / (y * x). (T(x,y) * R(T(x,y) \ (x * y),z,u)) / (x * y) = R(1 / y,y,x) * R((T(x,y) / (x * y)) \ 1,z,u). x != (T(y,z) \ y) * u | x = z * (((y * z) / y) \ u). T(x,y) * (x \ z) = x * (((y * x) / y) \ z). x * (((y * x) / y) \ z) = T(x,y) * (x \ z). T(x / (x / y),x) = L(y,y \ x,y). L(T(x,y),x \ z,x) = T(T(z / (z / x),z),y). T(T(x / (x / y),x),z) = L(T(y,z),y \ x,y). T(x / y,x) = L(y \ x,(y \ x) \ x,y \ x). L(x \ y,(x \ y) \ y,x \ y) = T(y / x,y). x * T(x / (x / y),x) = y * ((y \ x) * y). (x \ y) * x = (y * (x \ y)) / (y / x). (x * (y \ x)) / (x / y) = (y \ x) * y. R(1 / (1 / (1 / x)),x,y) = (x * (y / (x * y))) / x. x != T(y,(z \ y) \ 1) | x = y * K(y,z / y). K(x \ y,x) \ x = x * K(x,y / x). (x \ T(y,x \ 1)) * y = (x \ y) * T(y,y \ (x \ y)). (x \ y) * T(y,y \ (x \ y)) = (x \ T(y,x \ 1)) * y. x * y != z * ((x \ z) \ z) | T(x * (z / x),x) = y. T(x * (y / x),x) = x \ (y * ((x \ y) \ y)). ((x \ 1) \ y) \ y = T(x \ 1,x * y). T(x \ 1,x * y) = ((x \ 1) \ y) \ y. 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) * x) * (y / x) = y * (x \ y). 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). x * K(T(y,x),x) = K(x,y) \ x. K(T(x,y),y) * K(y,x) = 1. R(x,K(x,y),z) = x. R(T(x,y),K(x,z),u) = T(x,y). L(x,y,z) * (K(x,u) * w) = (L(x,y,z) * K(x,u)) * w. (L(x,y,z) * K(x,u)) * w = L(x,y,z) * (K(x,u) * w). K(T(x,y),y) \ 1 != z | z = K(y,x). K(T(x,y),y) \ 1 != z | K(y,x) = z. R(T(x,y),z,u) * (K(x,w) * v5) = (R(T(x,y),z,u) * K(x,w)) * v5. (R(T(x,y),z,u) * K(x,w)) * v5 = R(T(x,y),z,u) * (K(x,w) * v5). K(x,y) \ x != x * z | K(T(y,x),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 \ T(y * x,y) = R(y,x,y). L(R(x,y,x),y,x) = x. x * R(y,x,y) = T(y * x,y). (x * y) * R(x,y,x) = T(x * y,x) * T(x,y). T(x * y,x) * T(x,y) = (x * y) * R(x,y,x). R(x,T(y,x),T(x,y)) = R(x,T(y,x),x). x * (y * x) = (L(x,y,x) * y) * x. (L(x,y,x) * y) * x = x * (y * 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(x * y,y)) * x = T(y * x,y). x \ T(y * x,y) != z | z = R(y,x,y). x \ T(y * x,y) != z | R(y,x,y) = z. x * y != x * (z * x) | T(L(x,z,x) * z,x) = y. T(L(x,y,x) * y,x) = y * x. (x * (y * x)) / x = L(x,y,x) * y. x * y != y * (z * y) | x = z * T(y,z * y). L(x,y,x) * y = y * T(x,y * x). x * T(y,x * y) = L(y,x,y) * x. T(x,y * x) = T(x,L(x,y,x) * y). T(x,L(x,y,x) * y) = T(x,y * x). T((x * y) / x,L(x,y,x)) = y. x * y != L(z,u,z) * u | x \ ((z * (u * z)) / z) = y. L(x,y,x) \ ((x * (y * x)) / x) = y. (x * ((x \ y) * x)) / x != z | (x \ y) * T(x,y) = z. (x * (x * T(T(x,y) \ y,z))) / x = L(x,T(y / T(x,y),z),x) * T(y / T(x,y),z). L(x,T(y / T(x,y),z),x) * T(y / T(x,y),z) = (x * (x * T(T(x,y) \ y,z))) / x. T(x,y) = T(x,L(y,x,y)). T(x,L(y,x,y)) = T(x,y). x != T(y,L(z,y,z)) | x = T(y,T(z,z * y)). T(x,y) = T(x,T(y,y * x)). T(x,T(y,y * x)) = T(x,y). L(x,y,x) * T(y,x) = y * L(x,y,x). T(x,x * y) * L(T(y,x),z,u) = L(y,z,u) * T(x,x * y). T(x,x * y) * R(T(y,x),z,u) = R(y,z,u) * T(x,x * y). T((x * y) / x,x * y) = L(y,x,y). x * y != L(z,x,z) * x | y = T(z,z * x). T(x,y * x) = T(x,x * y). (x \ y) * z != L(x,x \ y,x) * (x \ y) | z = T(x,y). T(x,(x \ y) * x) = T(x,y). T(x / T(y,x),z) * T(y,y * T(T(y,x) \ x,z)) = L(y,T(x / T(y,x),z),y) * T(x / T(y,x),z). T(R(x,y,z),R(x,y,z) * u) = R(T(x,u * R(x,y,z)),y,z). R(T(x,y * R(x,z,u)),z,u) = T(R(x,z,u),R(x,z,u) * y). T(x,y) = T(x,x * (y / x)). T(x,x * (y / x)) = T(x,y). T(T(x,x * y),z) = T(T(x,z),y * x). T(T(x,y * x),z) = T(T(x,z),x * y). T(x,x * T(x \ y,z)) = T(x,x * T(y / x,z)). T(x,x * T(y / x,z)) = T(x,x * T(x \ y,z)). x * L(T(y,x * y),z,u) = L(L(y,x,y),z,u) * x. ((x \ y) * x) * T(x,y) != z | x * ((x \ y) * x) = z. (((x \ y) * x) / T(x,y)) * x = T((x \ y) * x,x). T(x,y) * (x \ T(x * (y / x),x)) = x * (y / x). x != T(y,z * y) | x = T(y,y * z). T(x,L(x,y,x) * y) = T(x,x * y). T(x,(x \ y) * T(x,y)) = T(x,(x \ y) * x). R(T(x,x * y),y,T(x,x * y)) = T(x,y). x != T(T(y,z),u) | x = T(T(y,u),z). T(T(x,y),z * x) = T(T(x,y),x * z). L(x \ T(x,T(y,x)),T(y,x),x) != z | K(x,y) = z. x != y * T(y \ z,u) | x = z * K(u \ (u / (z \ y)),u). (T(x,y / z) \ x) * y = y * K(x \ (x / (y \ z)),x). x * K(y \ (y / (x \ z)),y) = (T(y,x / z) \ y) * x. x != T(y,z) * T(z,y) | x = y * z. T(x,y) * T(T(y,x),x) = y * x. T(x,y) * T(T(y,z),x) = T(y,z) * T(x,y). T(x,T(y,T(z,T(y,x)))) / (T(T(y,x),z) \ x) = T(y,T(z,T(y,x))). x != T(y,T(T(z,y),u)) | x = T(y,T(z,u)). T(x,T(y,T(z,T(y,x)))) = T(x,T(y,z)). x != y * (((z * y) / z) \ u) | x = ((z * y) / z) \ (y * u). T(x,y) * (x \ z) = ((y * x) / y) \ (x * z). ((x * y) / x) \ (y * z) = T(y,x) * (y \ z). (x / (x / y)) * x = y * ((y \ x) * y). 1 / (1 / x) = K(y,x) / (K(y,x) / x). K(x,y) / (K(x,y) / y) = 1 / (1 / y). x != T(y * z,y) | x = (z \ T(z * y,y)) * z. x \ (y * ((x \ y) \ y)) = ((y / x) \ T((y / x) * x,x)) * (y / x). ((x / y) \ T((x / y) * y,y)) * (x / y) = y \ (x * ((y \ x) \ x)). x != T(y * (z / y),y) | x = y * (z / T(y,z)). x \ (y * ((x \ y) \ y)) = x * (y / T(x,y)). R(1 / x,x,y / x) = (x \ y) / y. (x \ y) / y = (y / x) / (x * (y / x)). (x / y) / (y * (x / y)) = (y \ x) / x. ((x \ y) / y) * (x * (y / x)) = y / x. x != T(y,(y \ z) * y) | x = T(y,z). T(x,(x \ y) * T(x,y)) = T(x,y). R(T(x,y),x \ y,T(x,y)) = T(x,x \ y). x != (y * T(y \ 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) / z) != u | T(x,y \ 1) = u. T(x,y / z) = T(x,(z / y) \ 1). T(x,(y / z) \ 1) = T(x,z / y). T(x,((y \ z) / z) \ 1) = T(x,y). T(x \ T(x,(y * z) / z),T(y,u)) = R(x \ T(x,y),y,z). T(x,1 / y) != z | T(x,y \ 1) = 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((x \ 1) * y,x). K((x \ 1) * y,x) = K(x \ 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). T(x,y * x) = L(T(x,y),T(y,x),x). L(T(x,y),T(y,x),x) = T(x,y * x). x * T(y,x * y) = L(y,T(x,y),y) * x. L(x,T(y,x),x) * y = y * T(x,y * x). x * y != y * T(z,y * z) | x = L(z,y,z). L(x,T(y,x),x) = L(x,y,x). L(x,y,x) = L(x,(x * y) / x,x). L(x,(x * y) / x,x) = L(x,y,x). L(x,T(y,x),x) * T(y,x) = y * L(x,y,x). x != L(y,T(z,y),y) * T(z,y) | x = T(z,y) * T(y,z * y). x * L(y,x,y) = T(x,y) * T(y,x * y). T(x,y) * T(y,x * y) = x * L(y,x,y). T(x,y) * T(y,y * x) = x * L(y,x,y). (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,x / y,y) * T(x,y). R(x,y / x,x) * T(y,x) = T(y,x) * T(x,x \ y). T(x,y) * T(y,y \ x) = R(y,y \ x,y) * T(x,y). R(x,x \ y,x) * T(y,x) = T(y,x) * T(x,x \ y). T(x,x * T(T(y,x) / x,z)) = T(x,x * T(T(x,y) \ y,z)). T(x,x * T(T(x,y) \ y,z)) = T(x,x * T(T(y,x) / x,z)). x * y != T((y \ z) * y,y) | x = y \ T(z,y). ((x \ y) * x) / T(x,y) = x \ T(y,x). (x \ T(y,x)) * T(x,y) = (x \ y) * x. T(x,y) * (T(y,x) / x) = x * (y / x). T(x,y) * (y / T(x,y)) = x * (y / x). x * (y / x) != T(x,y) * z | y / T(x,y) = z. T(x,y) * z != x * (y / x) | y / T(x,y) = z. R(K(x,y),x,z) != u | K(x,y) = u. (x * R(x * K(y,x),z,u)) / R(x * K(y,x),z,u) = T(x,R(x * K(y,x),z,u)). T(L(L(x,y,x),z,u) * y,x) = L(x,z,u) * T(y,x). x != T(y * z,y) * T(y,z) | x = (y * z) * R(y,z,y). R(x,y,x) * T(x * y,x) = (x * y) * R(x,y,x). (R(x,y,x) * y) \ ((x * y) * R(x,y,x)) = L(R(x,y,x),y,R(x,y,x)). x * T(y,z) != T(y,z) * T(z,z \ y) | x = R(z,y / z,z). R(x,x \ y,x) = R(x,y / x,x). R(x,y / x,x) = R(x,x \ y,x). x != R(y,y \ z,y) | x = (y \ z) \ T(z,y). R(x,y / x,x) = (x \ y) \ T(y,x). x != R(y,(z \ y) / y,y) | x = ((z \ T(y,z \ 1)) * y) / (z \ y). R(x,x \ (y \ x),x) = ((y \ T(x,y \ 1)) * x) / (y \ x). R(x,(x * y) / x,x) = R(x,y,x). R(x,y,x) = R(x,T(y,x),x). R(x,T(y,x),x) = R(x,y,x). x != R(y,T(z,y),y) | x = R(y,T(z,y),T(y,z)). R(x,y,x) = R(x,T(y,x),T(x,y)). R(x,T(y,x),T(x,y)) = R(x,y,x). R(R(x,y,x),z,u) = R(R(x,z,u),T(y,x),T(x,y)). R(R(x,y,z),T(u,x),T(x,u)) = R(R(x,u,x),y,z). R(x,y,x) = (x \ (y * x)) \ T(y * x,x). (x \ (y * x)) \ T(y * x,x) = R(x,y,x). (x \ y) * T(y,x \ 1) = (x \ T(y,x \ 1)) * y. (x \ T(y,x \ 1)) * y = (x \ y) * T(y,x \ 1). L(x,K(y,z),L(y,u,w)) = x. (K(x,y) * L(x,z,u)) * w = L(x,z,u) * (K(x,y) * w). L(x,K(y,z),y) = x. x != y | x = L(y,z,K(z,u)). L(x,K(y,z),y) = L(x,u,K(u,w)). L(x,K(y,z),y) != u | u = x. x != (y / z) * K(u \ (u / ((y / z) \ (1 / z))),u) | x = T(y,u) / z. (T(x,(y / z) / (1 / z)) \ x) * (y / z) = T(y,x) / z. x != T((y * (z / u)) / y,u) | x = (y * (u \ z)) / y. R(x / y,x / (x / y),x / y) = (x * (y \ x)) / x. R(x / (x / y),(y * (x / y)) / y,x / (x / y)) = (x * ((x / y) \ x)) / x. 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,T(y,z) \ 1,y) = T(y,z) * ((T(y,z) \ 1) * x). T(x,y) * ((T(x,y) \ 1) * z) = L(z,T(x,y) \ 1,x). L(x,T(y,z) \ 1,T(y,z)) = L(x,T(y,z) \ 1,y). L(x,1 / T(y,y \ z),(y \ z) \ z) = L(x,T(y,y \ z) \ 1,y). R(x,x \ (y \ x),x) = ((y \ x) * T(x,y \ 1)) / (y \ x). T(x,y \ 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) * x) * T(x,y) = y * (y / (y / T(x,y))). x * ((x \ y) * x) = y * (y / (y / T(x,y))). x * (x / (x / T(y,x))) = y * ((y \ x) * y). x * y != z * ((z \ x) * z) | T(x / (x / z),x) = y. 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). T(x / y,x) \ x = x / T(y \ x,x). x / T(y \ x,x) = T(x / y,x) \ x. x != (y \ T(y,y \ z)) * z | x = y * (z / y). (((x \ 1) * y) \ y) * ((x \ 1) * y) = x * (y / x). T(x,x * T(T(x,y) \ y,z)) = T(x,T(x * T(y / x,z),x)). T(x,T(x * T(y / x,z),x)) = T(x,x * T(T(x,y) \ y,z)). T(x,x * T(y / x,z)) = T(x,x * T(T(x,y) \ y,z)). T(x,x * T(T(x,y) \ y,z)) = T(x,x * T(y / x,z)). x != T(y,y * T(z / y,u)) | x = T(y,y * T(y \ z,u)). T(x,x * T(T(x,y) \ y,z)) = T(x,x * T(x \ y,z)). x != ((T(y,z) * z) / y) \ ((y * (y * z)) / y) | x = L(y,z,T(y,z)). L(x,(x * y) / x,x) = L(x,y,T(x,y)). x != L(y,(y * z) / y,y) | x = L(y,z,y). L(x,y,T(x,y)) = L(x,y,x). ((x * y) / x) \ T(y * ((x \ y) \ 1),y) = (x \ y) \ 1. x * ((y \ z) \ 1) != T(z * ((y \ z) \ 1),z) | x = (y * z) / y. T(z * ((y \ z) \ 1),z) != x * ((y \ z) \ 1) | x = (y * z) / y. T(x * ((y \ x) \ 1),x) != z * ((y \ x) \ 1) | (y * x) / y = z. (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. (T(x,y) \ x) * z != u | x * (T(x,y) \ z) = u. 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) = y * (T(y,x) \ z). x != (T(y,(z / u) / (1 / u)) \ y) * (z / u) | x = T(z,y) / u. x * (T(x,(y / z) / (1 / z)) \ (y / z)) = T(y,x) / z. x != (T(y,z / u) \ y) * z | x = u * T(u \ z,y). x * (T(x,y / z) \ y) = z * T(z \ y,x). x * T(x \ y,z) = z * (T(z,y / x) \ y). (T(x,y) \ x) \ z = T(x,y) * (x \ z). x * y = T(z,x) * (z \ (T(x,z) * y)). T(x,y) * (x \ (T(y,x) * z)) = y * z. x * y != (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). T(x,y) * (x \ (T(y,x) * z)) != u * w | u \ (y * z) = w. x != y * (z * u) | x = (y * z) * L(u,z,y). T(x,y) * (T(y,x) * z) = (x * y) * L(z,y,x). x * (T(x,y / (z \ 1)) \ y) != u | z \ T(z * y,x) = u. x != ((y * z) / y) \ (T(y,z) * ((y \ z) * u)) | x = L(u,y \ z,T(y,z)). x \ (y * ((y \ x) * z)) = L(z,y \ x,T(y,x)). L(x,y \ z,y) = L(x,y \ z,T(y,z)). L(x,y \ z,T(y,z)) = L(x,y \ z,y). (x * (y * z)) \ ((x * y) * z) = a(T(x,y),T(y,x),z). a(x,y,z) = a(T(x,y),T(y,x),z). a(T(x,y),T(y,x),z) = a(x,y,z). a(T(x,y),T(y,x),z) != u | a(x,y,z) = u. ((x \ 1) * y) \ y = R(T(x,x \ y),x \ 1,y). R(T(x,x \ y),x \ 1,y) = ((x \ 1) * y) \ y. R(T(x,T(y,x)),x \ 1,y * x) = ((x \ 1) * (y * x)) \ (y * x). (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. R(T(x,y),x \ 1,y * x) = ((x \ 1) * (y * x)) \ (y * x). ((x \ 1) * (y * x)) \ (y * x) = R(T(x,y),x \ 1,y * x). 1 / R(T(x,y),x \ 1,y * x) = (((1 / x) * (y * x)) \ (y * x)) \ 1. (((1 / x) * (y * x)) \ (y * x)) \ 1 = 1 / R(T(x,y),x \ 1,y * x). x != L(R(y,z,y),z,y) | x = y. T(x \ T(x * y,y),T(x * y,y)) = 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) = 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). x != K(y \ T(z,y),y) | x = T(z,y) \ ((T(y,z) \ z) * y). K(x \ y,x) = T(y,x) \ ((T(x,y) \ y) * x). T(x,y) \ ((T(y,x) \ x) * y) = K(y \ x,y). T(x,y) * K(y \ x,y) = (T(y,x) \ x) * y. L(x,T(y,z),T(z,y)) = L(x,y,z). L(x,y \ z,T(y,z / y)) = L(x,z / y,y). L(x,y \ z,T(y,y \ z)) = L(x,z / y,y). T(x,T(y,z)) / (T(T(y,x),z) \ x) = T(y,T(z,T(y,x))). x != T(y,T(z,u)) / (T(T(z,y),u) \ y) | x = T(z,u). T(x,T(y,T(x,z))) = T(x,y). T(x,T(y,z)) * T(y,x) = y * T(x,T(y,z)). T(x / (x / y),T(z,y)) = T(x / (x / y),z). x * y != T(z,T(u,w)) * T(u,z) | x \ (u * T(z,T(u,w))) = y. T(x,y) \ (x * T(y,T(x,z))) = T(T(y,x),T(x,z)). T(T(T(x,y) / (T(x,y) / y),x),z) = L(T(y,z),y \ T(x,y),y). ((x / y) \ T(x,y)) * (x / y) = y \ (x * ((y \ x) \ x)). ((x * y) / x) * (x / y) = y \ (x * ((y \ x) \ x)). x \ (y * ((x \ y) \ y)) = ((y * x) / y) * (y / x). x != y \ (z * ((y \ z) \ z)) | x = y * (z / T(y,z)). ((x * y) / x) * (x / y) = y * (x / T(y,x)). ((x * (y \ x)) / x) * y = (y \ x) * (x / T(y \ x,x)). (x \ y) * (y / T(x \ y,y)) = ((y * (x \ y)) / y) * x. ((x \ y) \ y) * (y / T(T(x,x \ y),y)) = ((y * ((x \ y) \ y)) / y) * (x \ y). (x * T(1 / x,y)) * z = T(1 / x,y) * ((x \ 1) \ z). T(1 / x,y) * ((x \ 1) \ z) = (x * T(1 / x,y)) * z. (T(1 / x,y) * z) / ((x * T(1 / x,y)) * z) = x \ 1. (x \ 1) * y = T(1 / x,z) * ((x * T(1 / x,z)) \ y). T(1 / x,y) * ((x * T(1 / x,y)) \ z) = (x \ 1) * z. x != (T(y,z) \ y) \ u | x = T(y,z) * (y \ u). L(x,T(y \ 1,z),y) = T(z,y \ 1) * (z \ (y * (T(y \ 1,z) * x))). T(x,y \ 1) * (x \ (y * (T(y \ 1,x) * z))) = L(z,T(y \ 1,x),y). L(R(x,y,x),y,R(x,y,x)) = x. x != T(y,z \ 1) * (y \ (z * u)) | x = z * (T(y,z \ 1) * (y \ u)). L(x,T(y \ 1,z),y) = y * (T(z,y \ 1) * (z \ (T(y \ 1,z) * x))). x * (T(y,x \ 1) * (y \ (T(x \ 1,y) * z))) = L(z,T(x \ 1,y),x). x * ((x \ 1) * y) = L(y,T(x \ 1,z),x). L(x,T(y \ 1,z),y) = y * ((y \ 1) * x). L(x,T(y \ 1,z),y) = L(x,y \ 1,y). x != L(T(1 / y,z) \ u,T(y \ 1,z),y) | x = (y * T(1 / y,z)) \ (y * u). L(T(1 / x,y) \ z,x \ 1,x) = (x * T(1 / x,y)) \ (x * z). T((x \ 1) * (x * ((y * z) / y)),y) = T(1 / x,y) * ((x * T(1 / x,y)) \ (x * z)). R(x / (x / y),(y * (x / y)) / y,x / (x / y)) = (x * y) / x. T(x,y) * L(T(T(x,y),x) \ y,z,u) = T(T(x,y) * L(x \ y,z,u),x). T(x,y) * L(T(x,y) \ y,z,u) = T(T(x,y) * L(x \ y,z,u),x). T(T(x,y) * L(x \ y,z,u),x) = T(x,y) * L(T(x,y) \ y,z,u). x != T(y,z) * L(T(y,z) \ z,u,w) | x = T(y * L(y \ z,u,w),z). T(T(x,y) * L(x \ y,z,u),x) = T(x * L(x \ y,z,u),y). T(T(x,x * y) * L(y,z,u),x) = T(x * L(x \ (x * y),z,u),x * y). T(x * L(x \ (x * y),z,u),x * y) = T(T(x,x * y) * L(y,z,u),x). T(x * L(y,z,u),x * y) = T(T(x,x * y) * L(y,z,u),x). T(T(x,x * y) * L(y,z,u),x) = T(x * L(y,z,u),x * y). x * (x * T(T(x,T(y,x)) \ ((y * x) / x),z)) = (x * T(x \ y,z)) * x. x * (x * T(T(x,y) \ ((y * x) / x),z)) = (x * T(x \ y,z)) * x. x * (x * T(T(x,y) \ y,z)) = (x * T(x \ y,z)) * x. x != ((y * ((z \ y) \ u)) / u) * (z \ u) | x = z \ (y * ((z \ y) \ u)). ((x \ y) \ y) * (y / T(T(x,x \ y),y)) = x \ (y * ((x \ y) \ y)). ((x \ y) \ y) * (y / T(T(x,x \ y),y)) = x * (y / T(x,y)). T(x,R(x * K(y,x),z,u)) = x. 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). R(x,K(y,y \ 1),z) = x. x \ y = K(z \ 1,z) * ((x * K(z \ 1,z)) \ y). K(x \ 1,x) * ((y * K(x \ 1,x)) \ z) = y \ z. x != R(T(y,z / (1 / u)),z / (u \ 1),K(u \ 1,u)) | x = T(y,z / (u \ 1)). T(x,y / (1 / z)) = T(x,y / (z \ 1)). x != R(K(y,y \ 1) * (z / u),u,K(y \ 1,y)) | x = z / (u * K(y \ 1,y)). K(x,x \ 1) * (y / z) = y / (z * K(x \ 1,x)). x / (y * K(z \ 1,z)) = K(z,z \ 1) * (x / y). x != R(T(y,z * K(u \ 1,u)),z,K(u \ 1,u)) | x = T(y,z). T(x,y * K(z \ 1,z)) = T(x,y). x != R(R(y,z,(u \ 1) \ 1),z * T(u,u \ 1),K(u \ 1,u)) | x = R(y,z,u). R(x,y,(z \ 1) \ 1) = R(x,y,z). x != R((y * K(z,z \ 1)) / u,u,K(z \ 1,z)) | x = y / (u * K(z \ 1,z)). (x * K(y,y \ 1)) / z = x / (z * K(y \ 1,y)). R(x,y,K(z,1 / z)) = x. x * (y * K(z \ 1,z)) = (x * y) * K(z \ 1,z). (x * y) * K(z \ 1,z) = x * (y * K(z \ 1,z)). x \ K(y \ 1,y) = (x \ 1) * K(y \ 1,y). (x \ 1) * K(y \ 1,y) = x \ K(y \ 1,y). x \ (y * K(z \ 1,z)) = (x \ y) * K(z \ 1,z). R(x,y,K(z,z \ 1)) = x. R(x,y,K(1 / z,z)) = x. x \ (K(y \ 1,y) * z) = (x \ z) * K(y \ 1,y). x * (K(y,y \ 1) * z) = (x * K(y,y \ 1)) * z. (x * K(y,y \ 1)) * z = x * (K(y,y \ 1) * z). x != R(y / (z * K(1 / u,u)),z / K(u,1 / u),K(u,1 / u)) | x = K(u,1 / u) * (y / z). x / (y * K(1 / z,z)) = K(z,1 / z) * (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 != R(T(y,z * K(u,u \ 1)),z,K(u,u \ 1)) | x = T(y,z). T(x,y * K(z,z \ 1)) = T(x,y). x * (y * K(z,z \ 1)) = (x * y) * K(z,z \ 1). (x * y) * K(z,z \ 1) = x * (y * K(z,z \ 1)). x \ K(y,y \ 1) = (x \ 1) * K(y,y \ 1). (x \ 1) * K(y,y \ 1) = x \ K(y,y \ 1). x \ (y * K(z,z \ 1)) = (x \ y) * K(z,z \ 1). x \ (K(y,y \ 1) * z) = (x \ z) * K(y,y \ 1). x * (y * K(1 / z,z)) = (x * y) * K(1 / z,z). (x * y) * K(1 / z,z) = x * (y * K(1 / z,z)). (x * y) \ ((x * (y * z)) * K(1 / u,u)) = L(z,y,x) * K(1 / u,u). T(x,K(y \ 1,y) * z) = T(x,z). T(x,y * (((y \ z) \ 1) \ 1)) = T(x,z). T(x,y * (z \ 1)) = T(x,y * (1 / z)). T(x,y * (1 / z)) = T(x,y * (z \ 1)). T(x,y * (1 / (1 / z))) = T(x,y * z). T(x,((y \ 1) \ 1) \ z) = T(x,y \ z). T(x,(1 / y) \ z) = T(x,(y \ 1) \ z). T(x,(y \ 1) * z) = T(x,(1 / y) * z). T(x,(1 / y) * z) = T(x,(y \ 1) * z). T(x,y * K(z,y)) = T(x,(y \ 1) \ K(z,y)). T(x,(y \ 1) \ K(z,y)) = T(x,y * K(z,y)). T(x,y \ z) = T(x,y \ ((z \ 1) \ 1)). T(x,y \ ((z \ 1) \ 1)) = T(x,y \ z). R(x,y,T(z,z \ 1)) = R(x,y,z). R(x,y,z) * (y * ((z \ 1) \ 1)) = (x * y) * ((z \ 1) \ 1). x != T(y,R(1 / z,u,w)) | x = T(y,R(z \ 1,u,w)). T(x,R(1 / y,z,u) * K(w,w \ 1)) = T(x,R(y \ 1,z,u)). T(x,T(y,y \ 1) * z) = T(x,y * z). x != R(y,z \ 1,T(u,u \ 1)) | x = (u \ (z / y)) \ (u \ z). R(x,y \ 1,z) = (z \ (y / x)) \ (z \ y). (x \ (y / z)) \ (x \ y) = R(z,y \ 1,x). x * (T(x,(y / z) / (z \ 1)) \ (y / z)) = T(y,x) / z. T(x,y \ (z \ 1)) = T(x,y \ (1 / z)). T(x,y \ (1 / z)) = T(x,y \ (z \ 1)). K(x \ 1,x) * (y \ 1) = y \ K(x \ 1,x). K(x,x \ 1) * (y \ 1) = y \ K(x,x \ 1). x != K(y \ 1,y) * (z \ 1) | x = (z \ (y \ 1)) * y. x \ K(y \ 1,y) = (x \ (y \ 1)) * y. x \ K(y \ z,z \ y) = (x \ ((z \ y) \ 1)) * (z \ y). (x \ ((y \ z) \ 1)) * (y \ z) = x \ K(z \ y,y \ z). x != K(y,y \ 1) * (z \ 1) | x = (z \ y) * (1 / y). x \ K(y,y \ 1) = (x \ y) * (1 / y). x \ K(y * z,z \ (y \ 1)) = (x \ (y * z)) * (1 / (y * z)). x \ K(y \ z,z \ y) = (x \ (z / y)) * (1 / (z / y)). (x \ (y / z)) * (1 / (y / z)) = x \ K(z \ y,y \ z). x != (y * K(z \ 1,z)) * u | x = K(z \ 1,z) * (y * u). x * (K(y \ 1,y) * z) = K(y \ 1,y) * (x * z). K(x \ 1,x) * (y * z) = y * (K(x \ 1,x) * z). K(x,x \ 1) * (y \ z) = (y * K(x \ 1,x)) \ z. (x * K(y \ 1,y)) \ z = K(y,y \ 1) * (x \ z). K(x \ 1,x) * (y \ z) = (K(x,x \ 1) * y) \ z. (K(x,x \ 1) * y) \ z = K(x \ 1,x) * (y \ z). K(x \ 1,x) * (((x \ 1) * y) \ z) = ((1 / x) * y) \ z. K(x \ 1,x) * (y \ z) = y \ (z * K(x \ 1,x)). x \ (y * K(z \ 1,z)) = K(z \ 1,z) * (x \ y). x / (y * K(z \ 1,z)) = (x / y) * K(z,z \ 1). (x * K(y,y \ 1)) / (z * ((y \ 1) \ 1)) = x / (z * y). K(L(x,y,z) \ 1,x) = K(x \ 1,x). K(x \ 1,x) * (y * z) = y * (z * K(x \ 1,x)). L(K(x \ 1,x),y,z) = K(x \ 1,x). x != y * (z * K(u \ 1,u)) | x = y * (K(u \ 1,u) * z). (x * y) * K(z \ 1,z) = x * (K(z \ 1,z) * y). (x * (y * K(z \ 1,z))) * u != (x * y) * K(z \ 1,z) | 1 = u. 1 = a(x,y,K(z \ 1,z)). a(x,y,K(z \ 1,z)) = 1. (x * (y * K(z \ 1,z))) * u = K(z \ 1,z) * ((x * y) * u). (x * (y * K(z \ 1,z))) \ u = (x * y) \ (K(z,z \ 1) * u). x / (y * (z * K(u \ 1,u))) = K(u,u \ 1) * (x / (y * z)). a(x,y,K(z,z \ 1)) = 1. L(K(x,x \ 1),y,z) = K(x,x \ 1). x != K(y \ 1,y) | x = (y \ 1) * y. K(L(x,y,z) \ 1,x) = (x \ 1) * x. L(K(x \ y,y \ x),z,u) = K((y \ x) \ 1,y \ x). 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). K(L(x,y,z) \ 1,x) != u | K(x \ 1,x) = u. L(K(x \ 1,x),y,z) != u | K(x \ 1,x) = u. x != y \ (z * K(u \ 1,u)) | x = (K(u,u \ 1) * y) \ z. (x \ y) * K(z \ 1,z) = (K(z,z \ 1) * x) \ y. (K(x,x \ 1) * y) \ z = (y \ z) * K(x \ 1,x). x \ (y \ 1) = (x \ (1 / y)) * K(y \ 1,y). (x \ (1 / y)) * K(y \ 1,y) = x \ (y \ 1). K(x,x \ 1) * (y \ (x \ 1)) = y \ (1 / x). x != y * K(z \ 1,z) | x = K(z \ 1,z) * y. x \ (K(y \ 1,y) * z) = K(y \ 1,y) * (x \ z). x != (y * K(z,z \ 1)) * u | x = K(z,z \ 1) * (y * u). x * (K(y,y \ 1) * z) = K(y,y \ 1) * (x * z). K(x,x \ 1) * (y * z) = y * (K(x,x \ 1) * z). (x * K(y,y \ 1)) * z = x * (z * K(y,y \ 1)). x / (1 / (1 / y)) = K(y,1 / y) * (x / y). K(x,1 / x) * (y / x) = y / (1 / (1 / x)). x * K(y,1 / y) != (K(y,1 / y) * z) * u | x = z * u. (K(x,1 / x) * y) * z = y * (z * K(x,1 / x)). x != y * K(z,1 / z) | x = K(z,1 / z) * y. x * (y * K(z,1 / z)) = K(z,1 / z) * (x * y). K(x,1 / x) * (y * z) = y * (z * K(x,1 / x)). T(x,y * (z * K(u,u \ 1))) = T(x,y * z). T(x,y * (z * (1 / u))) = T(x,y * (z * (u \ 1))). x != y * K(z,z \ 1) | x = K(z,z \ 1) * y. x \ (K(y,y \ 1) * z) = K(y,y \ 1) * (x \ z). L(K(1 / x,x),y,z) = K(1 / x,x). K(x,x \ 1) * (y * (K(x \ 1,x) * z)) = y * z. x \ (y * (K(z \ 1,z) * u)) = (x \ (y * u)) * K(z \ 1,z). T(1 / ((x * K(y \ 1,y)) * z),x * K(y \ 1,y)) = K(y,y \ 1) * (x \ (1 / z)). (K(x \ 1,x) * y) \ z = K(x,x \ 1) * (y \ z). ((1 / x) \ y) \ z = K(x,x \ 1) * (((x \ 1) \ y) \ z). K(x,x \ 1) * (((x \ 1) \ y) \ z) = ((1 / x) \ y) \ z. T(x,(K(y,y \ 1) * z) \ u) = T(x,z \ u). T(x,(y * (1 / z)) \ u) = T(x,(y * (z \ 1)) \ u). T(x,(y \ z) \ u) = T(x,(((y \ 1) \ 1) \ z) \ u). T(x,(((y \ 1) \ 1) \ z) \ u) = T(x,(y \ z) \ u). x \ ((y \ 1) * (y / z)) = K(y \ 1,y) * (x \ (1 / z)). K(x \ 1,x) * (y \ (1 / z)) = y \ ((x \ 1) * (x / z)). L(x * K(y \ 1,y),z,u) = (u * z) \ (u * (K(y \ 1,y) * (z * x))). (x * y) \ (x * (K(z \ 1,z) * (y * u))) = L(u * K(z \ 1,z),y,x). (x * (K(y \ 1,y) * z)) \ u = K(y,y \ 1) * ((x * z) \ u). x \ ((y \ (z \ 1)) * z) = K(z \ 1,z) * (x \ (y \ 1)). K(x \ 1,x) * (y \ (z \ 1)) = y \ ((z \ (x \ 1)) * x). (x \ 1) * (K(y,y \ 1) * z) = ((x \ y) * (1 / y)) * z. a(x,K(y,y \ 1) * z,u) = (x * ((K(y,y \ 1) * z) * u)) \ ((K(y,y \ 1) * (x * z)) * u). (x * ((K(y,y \ 1) * z) * u)) \ ((K(y,y \ 1) * (x * z)) * u) = a(x,K(y,y \ 1) * z,u). K(x,x \ 1) * (y * (z * (x \ 1))) = y * (z * (1 / x)). K(x,x \ 1) * (y * (z / (1 / x))) = y * (z / (x \ 1)). K(x,x \ 1) * (y * ((1 / x) \ z)) = y * ((x \ 1) \ z). x \ (y * (K(z,z \ 1) * u)) = (x \ (y * u)) * K(z,z \ 1). (x * (K(y,y \ 1) * z)) \ u = ((x * z) \ u) * K(y \ 1,y). (x / (1 / (1 / y))) * z = (x / y) * (z * K(y,1 / y)). (x / y) * (z * K(y,1 / y)) = (x / (1 / (1 / y))) * z. x \ (K(y,y \ 1) * z) != u | (x \ z) * K(y,y \ 1) = u. K((x \ y) \ 1,x \ y) != z | z = K(y \ x,x \ y). K((x \ y) \ 1,x \ y) != z | K(y \ x,x \ y) = z. L(K(x \ y,y \ x),z,u) != w | K(x \ y,y \ x) = w. x \ T(x * (y / x),z) = T(y,z) / x. x * (T(y,z) / x) = T(x * (y / x),z). T(x * (y / x),z) = x * (T(y,z) / x). x \ T(x * y,z) = T(y * x,z) / x. T(x * y,z) / y = y \ T(y * x,z). (x \ T(x * (y / x),z)) * x = T(y,z). x \ T(y,z) = T((x \ y) * x,z) / x. T((x \ y) * x,z) / x = x \ T(y,z). x * (y * (T(z,x) / y)) = (y * (z / y)) * x. T(x * y,z) = x * (T(y * x,z) / x). x * (T(y * x,z) / x) = T(x * y,z). T(x * (y / x),y) = x * (y / x). T((x \ y) * x,z) = (x \ y) * (T(y,z) / (x \ y)). (x \ y) * (T(y,z) / (x \ y)) = T((x \ y) * x,z). T(x * (y / x),K(y,z)) = x * (y / x). T(x,y * (x / y)) = x. T(x * (y / x),y) / y = y / ((x \ y) * x). T((x \ y) * x,y) = (x \ y) * x. x != y \ T(y * z,u) | x = (y \ 1) * T((y \ 1) \ z,u). T(x * y,z) / y = (y \ 1) * T((y \ 1) \ x,z). (x \ 1) * T((x \ 1) \ y,z) = T(y * x,z) / x. (x \ T(x * y,z)) * x = T(y * x,z). T(x \ T(x * y,z),x) = x \ T(y * x,z). T(K(x,y) * (y * x),z) / (y * x) = (y * x) \ T(x * y,z). x * (y \ T(y * (x \ z),x)) = ((x \ (z * y)) * x) / y. x != (y \ T(y * (z / y),u)) * y | x = K(y \ 1,y) * T(K(y,y \ 1) * z,u). T(x,y) = K(z \ 1,z) * T(K(z,z \ 1) * x,y). K(x \ 1,x) * T(K(x,x \ 1) * y,z) = T(y,z). (x \ T(y,z)) * x = T((x \ y) * x,z). T((x \ y) * x,z) = (x \ T(y,z)) * x. T(x \ T(y,z),x) = x \ T((x \ y) * x,z). x \ T((x \ y) * x,z) = T(x \ T(y,z),x). T(x,y) / R(x,z,u) = R(x,z,u) \ T(x,y). T(x,T(x * y,z)) = T(x,T(y * x,z)). T(x,T(y * x,z)) = T(x,T(x * y,z)). T(K(x,y),z * (x / z)) = K(x,y). T(K(x * y,z),y * x) = K(x * y,z). T((x \ y) * x,z) != u * x | x \ T(y,z) = u. x * ((y \ T(z,x)) * y) = ((y \ z) * y) * x. T((x \ (y / z)) * x,z) = (x \ (z \ y)) * x. T((x \ y) * x,z) / x != u | u = x \ T(y,z). T((x \ y) * x,z) / x != u | x \ T(y,z) = u. ((x * T((y \ z) * y,x)) / x) * (T(x,y) \ x) = (y \ (z * (T(x,y) \ x))) * y. (x * y) * K(y * x,z) = K(y * x,z) * (x * y). K(x * y,z) * (y * x) = (y * x) * K(x * y,z). x * (y * ((x \ z) / y)) = (y * ((z / x) / y)) * x. (x * ((y / z) / x)) * z = z * (x * ((z \ y) / x)). x * (y * (z / y)) = (y * (((x * z) / x) / y)) * x. (x * (((y * z) / y) / x)) * y = y * (x * (z / x)). T((x \ y) * x,y) / y = y / ((((x \ 1) * y) \ y) * ((x \ 1) * y)). x / ((((y \ 1) * x) \ x) * ((y \ 1) * x)) = T((y \ x) * y,x) / x. (R(x,y,z) \ T(x,u)) \ T(x,u) = R(x,y,z). 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) \ 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. ((x * ((y * x) \ y)) \ 1) * T(((x * ((y * x) \ y)) \ 1) \ (1 / ((y * x) \ y)),z) = T(x,z) / (x * ((y * x) \ y)). (x \ 1) * T((x \ 1) \ (x \ y),z) != u | x \ T(y,z) = u. K(x,x \ 1) * T(y,z) = T(K(x,x \ 1) * y,z). T(K(x,x \ 1) * y,z) = K(x,x \ 1) * T(y,z). T(x,y) * K(z,z \ 1) = T(K(z,z \ 1) * x,y). T(K(x,x \ 1) * y,z) = T(y,z) * K(x,x \ 1). x != (y * ((z / (u * (w \ z))) / y)) * (u * (w \ z)) | x = ((y * ((w / u) / y)) * u) * (w \ z). (x * (y \ z)) * (u * (((x * (y \ z)) \ z) / u)) = ((u * ((y / x) / u)) * x) * (y \ z). (x * ((y / (y * z)) / x)) * (y * z) = (y * z) * (x * (L(z \ 1,z,y) / x)). x != ((y \ (z / u)) * y) * u | x = ((y \ (z * (u \ 1))) * y) / (u \ 1). x * ((y \ (x \ z)) * y) = ((y \ (z * (x \ 1))) * y) / (x \ 1). ((x \ (y * (z \ 1))) * x) / (z \ 1) = z * ((x \ (z \ y)) * x). ((x \ R(1 / y,y,z)) * x) * (y * z) = (y * z) * ((x \ ((y * z) \ z)) * x). (x * ((y \ z) * 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. T(x * K(y,y \ 1),z) = K(y,y \ 1) * T(x,z). T(x \ y,z) = T(((x \ 1) \ 1) \ y,z) * K(x,x \ 1). T(((x \ 1) \ 1) \ y,z) * K(x,x \ 1) = T(x \ y,z). (x \ y) * T(x,y) = (x \ ((x * y) / x)) * x. (x \ ((x * y) / x)) * x = (x \ y) * T(x,y). x / (y * ((x \ 1) \ 1)) = (1 / (1 / x)) / (y * x). (1 / (1 / x)) / (y * x) = x / (y * ((x \ 1) \ 1)). (x \ ((y \ 1) * (y / z))) / u = K(y \ 1,y) * ((x \ (1 / z)) / u). K(x \ 1,x) * ((y \ (1 / z)) / u) = (y \ ((x \ 1) * (x / z))) / u. x != K(y \ 1,y) * (z \ (u \ 1)) | x = ((u * z) \ (y \ 1)) * y. x \ ((y \ (z \ 1)) * z) = ((y * x) \ (z \ 1)) * z. x \ ((y \ 1) * z) = (((z \ y) * x) \ (z \ 1)) * z. (((x \ y) * z) \ (x \ 1)) * x = z \ ((y \ 1) * x). (x \ 1) * (y * K(z,z \ 1)) = ((x \ z) * (1 / z)) * y. x != y * (z \ T(z * (y \ u),y)) | x = ((y \ (u / (z \ 1))) * y) * (z \ 1). ((x \ (y * z)) * x) / z = ((x \ (y / (z \ 1))) * x) * (z \ 1). ((x \ (y / (z \ 1))) * x) * (z \ 1) = ((x \ (y * z)) * x) / z. T(x,T(y \ z,u)) = T(x,T(((y \ 1) \ 1) \ z,u)). T(x,T(((y \ 1) \ 1) \ z,u)) = T(x,T(y \ z,u)). T(x,T((y \ 1) \ z,u)) = T(x,T((1 / y) \ z,u)). T(x,T((1 / y) \ z,u)) = T(x,T((y \ 1) \ z,u)). (x * y) * ((z \ 1) \ 1) != u * (y * ((z \ 1) \ 1)) | R(x,y,z) = u. (x * (y \ 1)) * ((y \ 1) \ 1) != z | z = R(x,y \ 1,y). (x * (y \ 1)) * ((y \ 1) \ 1) != z | R(x,y \ 1,y) = z. (x \ (x / y)) \ 1 != z | R(y,x \ 1,x) = z. T(x,R(K(y,y \ 1) * (1 / z),u,w)) = T(x,R(z \ 1,u,w)). x \ K((y / z) * u,u \ (z * (y \ 1))) = (x \ ((y / z) * u)) * (1 / ((y / z) * u)). (x * (y * K(z \ 1,z))) \ u = (x * y) \ (K(z \ 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 / (y * (z * K(u \ 1,u))) != w | (x / (y * z)) * K(u,u \ 1) = w. (x * y) \ (x * (K(z \ 1,z) * (y * u))) = L(u,y,x) * K(z \ 1,z). a(x,y,K(z,z \ 1) * u) = ((x * (y * (K(z,z \ 1) * u))) \ ((x * y) * u)) * K(z,z \ 1). ((x * (y * (K(z,z \ 1) * u))) \ ((x * y) * u)) * K(z,z \ 1) = a(x,y,K(z,z \ 1) * u). (x \ 1) * ((y \ ((x \ 1) \ z)) * y) = ((y \ (z * x)) * y) / x. T(x,R(K(y,y \ 1) / z,u,w)) = T(x,R(z \ 1,u,w)). x != T(y,R(K(z,z \ 1) / u,w,v5)) | x = T(y,R(u \ K(z,z \ 1),w,v5)). T(x,R(y \ 1,z,u)) = T(x,R(y \ K(w,w \ 1),z,u)). T(x,R(y \ K(z,z \ 1),u,w)) = T(x,R(y \ 1,u,w)). (x * y) \ (K(z \ 1,z) \ 1) = (y * K(z \ 1,z)) \ (x \ 1). (x * K(y \ 1,y)) \ (z \ 1) = (z * x) \ (K(y \ 1,y) \ 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). x / (y * K(z,z \ 1)) = K(z \ 1,z) * (x / y). (x * K(y \ 1,y)) \ (z \ 1) = (z * x) \ K(y,y \ 1). x != y \ K(z,z \ 1) | x = (y \ z) * (1 / z). (x * K(y \ 1,y)) \ (z \ 1) = ((z * x) \ y) * (1 / y). x != (y * K(z \ 1,z)) \ u | x = y \ (K(z,z \ 1) * u). ((x * y) \ z) * (1 / z) = y \ (K(z,z \ 1) * (x \ 1)). x \ (K(y,y \ 1) * (z \ 1)) = ((z * x) \ y) * (1 / y). x \ (1 / y) = ((y * x) \ y) * (1 / y). ((x * y) \ x) * (1 / x) = y \ (1 / x). x \ ((y \ z) * (1 / z)) = ((y * x) \ z) * (1 / z). x \ (1 / y) != z * (1 / y) | (y * x) \ y = z. x \ (y * (1 / (z * y))) = ((z * x) \ (z * y)) * (1 / (z * y)). ((x * y) \ (x * z)) * (1 / (x * z)) = y \ (z * (1 / (x * z))). x \ ((y \ z) * (1 / z)) != u * (1 / z) | (y * x) \ z = u. x / (y * (x / y)) = T((y \ x) * y,x) / x. T((x \ y) * x,y) / y = y / (x * (y / x)). ((x \ y) * x) / y = y / (x * (y / x)). x != y / (z * (y / z)) | x = z \ (y / (y / z)). ((x \ y) * x) / y = x \ (y / (y / x)). x != ((y \ z) * y) / z | x = (1 / z) * ((y \ z) * y). x \ (y / (y / x)) = (1 / y) * ((x \ y) * x). (1 / x) * ((y \ x) * y) = y \ (x / (x / y)). L((x \ ((y \ 1) \ 1)) * x,y \ 1,y) = y * (x \ (y / (y / x))). (x * y) \ (x * ((y * z) * K(1 / u,u))) = L(z,y,x) * K(1 / u,u). x != (y * z) \ (y * (K(u \ 1,u) * (z * w))) | x = L(w * K(u \ 1,u),z,y). L(x,y,z) * K(u \ 1,u) = L(x * K(u \ 1,u),y,z). L(x * K(y \ 1,y),z,u) = L(x,z,u) * K(y \ 1,y). L(x * K(y \ 1,y),z,u) = K(y \ 1,y) * L(x,z,u). L(x,y,z) = K(u \ 1,u) * L(x * K(u,u \ 1),y,z). K(x \ 1,x) * L(y * K(x,x \ 1),z,u) = L(y,z,u). K(x,x \ 1) * L(y,z,u) = L(y * K(x,x \ 1),z,u). L(x * K(y,y \ 1),z,u) = K(y,y \ 1) * L(x,z,u). L(x,y,z) * K(u,u \ 1) = L(x * K(u,u \ 1),y,z). L(x * K(y,y \ 1),z,u) = L(x,z,u) * K(y,y \ 1). x != K(y \ 1,y) * L(z * K(y,y \ 1),u,w) | x = (y \ L(y * (z / y),u,w)) * y. L(x,y,z) = (u \ L(u * (x / u),y,z)) * u. (x \ L(x * (y / x),z,u)) * x = L(y,z,u). (x \ L(x * y,z,u)) * x = L(y * x,z,u). x * (L(y,z,u) / x) = L(x * (y / x),z,u). L(x * (y / x),z,u) = x * (L(y,z,u) / x). (x \ L(y,z,u)) * x = L((x \ y) * x,z,u). L((x \ y) * x,z,u) = (x \ L(y,z,u)) * x. L(x * y,z,u) != w * y | y \ L(y * x,z,u) = w. (x * y) * ((z \ L(u,y,x)) * z) = x * (y * ((z \ u) * z)). L((x \ ((y \ 1) \ z)) * x,y \ 1,y) = (x \ (y * z)) * x. L((x \ ((y \ z) \ u)) * x,y \ z,y) = (x \ (z \ (y * u))) * x. L(T(x,x \ 1),y,z) = K(x,x \ 1) * L(x,y,z). K(x,x \ 1) * L(x,y,z) = L(T(x,x \ 1),y,z). x \ L(y * K(z,z \ 1),u,w) = (x \ L(y,u,w)) * K(z,z \ 1). x != K(y,y \ 1) * L(y,z,u) | x = y * (L(y,z,u) * (1 / y)). L(T(x,x \ 1),y,z) = x * (L(x,y,z) * (1 / x)). x * (L(x,y,z) * (1 / x)) = L(T(x,x \ 1),y,z). x * (L(x,y,z) * (1 / x)) = L((x \ 1) \ 1,y,z). x \ L((x \ 1) \ 1,y,z) = L(x,y,z) * (1 / x). x != y \ L((y \ 1) \ 1,z,u) | x = T(L(y,z,u) * (1 / y),y). L(x,y,z) * (1 / x) = T(L(x,y,z) * (1 / x),x). T(L(x,y,z) * (1 / x),x) = L(x,y,z) * (1 / x). (x \ L(x,y,z)) * x = L(x,y,z). T(x,x \ L(x,y,z)) = x. L(x,y,z) / x = x \ L(x,y,z). x * y != L(z \ (u \ w),z,u) | ((u * z) \ w) / y = x. ((x * y) \ z) / (y \ (x \ z)) = (y \ (x \ z)) \ L(y \ (x \ z),y,x). (x \ (y \ z)) \ L(x \ (y \ z),x,y) = ((y * x) \ z) / (x \ (y \ z)). L(x,y,z) * u != (x \ L(x,y,z)) * x | 1 = u. 1 = K(x \ L(x,y,z),x). K(x \ L(x,y,z),x) = 1. K(x,x \ L(x,y,z)) = 1. (x \ L(x,y,z)) * T(x,u) = T(x,u) * (x \ L(x,y,z)). T(x,y) * (x \ L(x,z,u)) = (x \ L(x,z,u)) * T(x,y). x != L(y,z,u) / y | x = (1 / y) * L(y,z,u). x \ L(x,y,z) = (1 / x) * L(x,y,z). (1 / x) * L(x,y,z) = x \ L(x,y,z). L(1 / x,y,z) = L(x \ 1,y,z) * K(x,x \ 1). L(x \ 1,y,z) * K(x,x \ 1) = L(1 / x,y,z). L(1 / x,y,z) \ 1 = L(x \ 1,y,z) \ K(x \ 1,x). L(x \ 1,y,z) \ K(x \ 1,x) = L(1 / x,y,z) \ 1. x * y != T(z,u) * (z \ L(z,w,v5)) | x \ ((z \ L(z,w,v5)) * T(z,u)) = y. x \ ((x \ L(x,y,z)) * T(x,u)) = T(x,u) * (x \ (x \ L(x,y,z))). x * y != L(z \ 1,u,w) \ K(z \ 1,z) | x \ (L(1 / z,u,w) \ 1) = y. (L(x \ 1,y,z) \ (x \ 1)) \ (L(1 / x,y,z) \ 1) = x. (x * y) * ((z \ ((x * y) \ u)) * z) = x * (y * ((z \ (y \ (x \ u))) * z)). x * y != L((z \ ((u \ 1) \ w)) * z,u \ 1,u) | x \ ((z \ (u * w)) * z) = y. x \ ((y \ (x * z)) * y) = (x \ 1) * ((y \ ((x \ 1) \ z)) * y). (x \ 1) * ((y \ ((x \ 1) \ z)) * y) = x \ ((y \ (x * z)) * y). x != (y \ 1) * ((z \ ((y \ 1) \ u)) * z) | x = ((z \ (u * y)) * z) / y. x \ ((y \ (x * z)) * y) = ((y \ (z * x)) * y) / x. ((x \ (y * z)) * x) / z = z \ ((x \ (z * y)) * x). (x \ ((y \ (x * z)) * y)) * x = (y \ (z * x)) * y. (x \ ((y \ (x * z)) * y)) * x != u | u = (y \ (z * x)) * y. (x \ ((y \ (x * z)) * y)) * x != u | (y \ (z * x)) * y = u. x != L((y \ ((z \ 1) \ 1)) * y,z \ 1,z) | x = z * (y \ (z / (z / y))). (x \ (1 \ (y * 1))) * x = y * (x \ (y / (y / x))). (x \ y) * x = y * (x \ (y / (y / x))). x * (y \ (x / (x / y))) = (y \ x) * y. x * y != (z \ x) * z | y = K(z \ x,z). x \ (y / (y / x)) = K(x \ y,x). x != y \ (z / (z / y)) | x = (1 / z) * ((y \ z) * y). K(x \ y,x) = (1 / y) * ((x \ y) * x). (1 / x) * ((y \ x) * y) = K(y \ x,y). x != y \ (z / (z / y)) | x = ((y \ z) * y) / z. K(x \ y,x) = ((x \ y) * x) / y. ((x \ y) * x) / y = K(x \ y,x). x != y \ (z / (z / y)) | x = z / (y * (z / y)). K(x \ y,x) = y / (x * (y / x)). x / (y * (x / y)) = K(y \ x,y). x * K(x \ y,x) = y / (y / x). x / (x / y) = y * K(y \ x,y). x \ (y \ (1 / ((y \ 1) / x))) = K(x \ (y \ 1),x). K(x \ y,x) * y = (x \ y) * x. K(x \ y,x) * (x * (y / x)) = y. x != (y \ 1) * K(z,y \ 1) | x = y \ K(z,y \ 1). x / (x / (y \ 1)) = y \ K((y \ 1) \ x,y \ 1). x \ K((x \ 1) \ y,x \ 1) = y / (y / (x \ 1)). (x * y) / ((x * y) / x) = x * K(y,x). (x * K(x \ y,x)) * (y / x) = y. L(x,y \ 1,y) / (L(x,y \ 1,y) / y) = y * K((y \ 1) * x,y). (x / y) * (y * K(y \ x,y)) = (y \ x) * y. T(x * K(x \ y,x),y) = L(x,x \ y,x). T(x,y) / (T(x,y) / y) = y * K(y \ x,y). T(x,K(y \ x,y)) = x. T((x \ 1) * ((y \ x) * y),x) = (x \ 1) * ((y \ x) * y). K(x,x \ 1) * ((y \ x) * y) = K(y \ x,y) * ((x \ 1) \ 1). K(x \ y,x) * ((y \ 1) \ 1) = K(y,y \ 1) * ((x \ y) * x). T(x * y,K(y,x)) = x * y. T(x,K(y,x / y)) = x. (((x \ y) * x) \ y) \ y = (x \ y) * x. T(x,y) \ x = K(y,x). K(x,y) = T(y,x) \ y. x != T(y,z \ 1) \ y | x = K(y \ (y / z),y). K(x \ 1,y) = K(y \ (y / x),y). K(x \ (x / y),x) = K(y \ 1,x). x != T(y,z) \ y | x = (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 = y / T(y,z). K(x,y) = y / T(y,x). x != T(y,z) \ y | x = (1 / T(y,z)) * y. K(x,y) = (1 / T(y,x)) * y. x != T(y,z) \ y | x = y * (T(y,z) \ 1). K(x,y) = y * (T(y,x) \ 1). x != y \ (z \ 1) | x = (z * y) \ 1. K(x,y \ 1) = (y * T(y \ 1,x)) \ 1. (x * T(x \ 1,y)) \ 1 = K(y,x \ 1). x != T(y,z) \ y | x = z \ T(z,y). K(x,y) = x \ T(x,y). x != T(y,z \ 1) \ y | x = z * T(z \ 1,y). K(x \ 1,y) = x * T(x \ 1,y). x * T(x \ 1,y) = K(x \ 1,y). x * 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. 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,L(y,z,u)) = L(T(y,x),z,u) \ L(y,z,u). L(T(x,y),z,u) \ L(x,z,u) = K(y,L(x,z,u)). K(x,R(y,z,u)) = R(T(y,x),z,u) \ R(y,z,u). R(T(x,y),z,u) \ R(x,z,u) = K(y,R(x,z,u)). x / K(y,x) = T(x,y). T(x,y) = x / K(y,x). x / K(y,x) != z | z = T(x,y). x / K(y,x) != z | T(x,y) = z. ((x \ y) \ y) * K(x \ y,x) = x. K((1 / x) \ y,y) = T(y,y * x) \ y. (x \ 1) * K(y,x) = T(x,y) \ 1. K(x,y) * T(y,x) = y. K(x,y) \ y = T(y,x). T(x,y) = K(y,x) \ x. (K(x,y) / y) \ 1 = T(y,x). T(x,y) = (K(y,x) / x) \ 1. K(x,y) * ((y * x) / y) = x. K(x \ K(x,y),x) = K(x \ 1,x). x * (((y * x) / y) \ z) = K(x,y) * z. K(x,y) * (y * x) = x * y. x \ (y * K(x,y)) = ((y * x) / y) \ y. ((x * y) / x) \ x = y \ (x * K(y,x)). (x * y) / x = y * K(x,y). T(x * K(y,x),y) = x. 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). K(x \ 1,y) != z | x * T(x \ 1,y) = z. x * K(y \ 1,x) = y * ((x \ (y \ x)) * x). x * ((y \ (x \ y)) * y) = y * K(x \ 1,y). K(x,y) * z = y * (T(y,x) \ z). x * (T(x,y) \ z) = K(y,x) * z. K(x,y) * (T(y,x) * z) = y * z. x * T(x \ y,y) = y * K(y / x,y). K(x,y) * z != u | y * (T(y,x) \ z) = u. K(x,y) \ y != z | z = T(y,x). K(x,y) \ y != z | T(y,x) = z. K(x * K(y,y \ 1),z) = z / T(z,x). T(K(x,y),x) = x \ T(x,y). x \ T(x,y) = T(K(x,y),x). x != y \ T(y,L(z,u,w) \ 1) | x = L(y \ T(y,z \ 1),u,w). K(x,L(y,z,u) \ 1) = L(x \ T(x,y \ 1),z,u). L(x \ T(x,y \ 1),z,u) = K(x,L(y,z,u) \ 1). x != y \ T(y,z) | x = ((y * z) / y) * (z \ 1). K(x,y) = ((x * y) / x) * (y \ 1). x != y \ T(y,z) | x = ((y * z) / y) / z. K(x,y) = ((x * y) / x) / y. x != y \ T(y,z \ 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 = (1 / y) * T((1 / y) \ 1,z). K(x,y) = (1 / x) * T((1 / x) \ 1,y). x != y \ T(y,z) | x = T(y,z) / y. K(x,y) = T(x,y) / x. x != y \ T(y,z) | x = T(y,z) * (y \ 1). K(x,y) = T(x,y) * (x \ 1). x != y \ T(y,T(z,u) \ 1) | x = T(y \ T(y,z \ 1),u). K(x,T(y,z) \ 1) = T(x \ T(x,y \ 1),z). T(x \ T(x,y \ 1),z) = K(x,T(y,z) \ 1). x != (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 * y) / x) \ K(x,y) = y \ 1. x \ K(y,x \ 1) = (y * (x \ 1)) / y. T(x,y) \ K(x,y) = x \ 1. x != K(y,z \ 1) | x = K(y,1 / z). x \ T(x,y \ 1) = K(x,1 / y). 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). x * K(x,y) != z | z = T(x,y). x * K(x,y) != z | T(x,y) = z. K(x,x * (y \ 1)) = x \ T(x,y \ x). K(x,y) * x = T(x,y). T(x,y) = K(x,y) * x. K(x,y) * x != z | T(x,y) = z. K(x \ (y * z),z \ (y \ x)) = (x \ (y * z)) \ (((x \ (y * z)) \ 1) \ 1). (x \ (y * z)) \ (((x \ (y * z)) \ 1) \ 1) = K(x \ (y * z),z \ (y \ x)). (x * K(y,x)) * y = y * x. K(x,y) * y = (x * y) / x. (x * y) / x = K(x,y) * y. (x \ y) * K(x,x \ y) = y / x. K(x,y) \ (x \ z) = T(x,y) \ z. K(x,y) * (x * z) = T(x,y) * z. K(x,y) \ z = x * (T(x,y) \ z). x * (T(x,y) \ z) = K(x,y) \ z. K(x,y) \ (T(x,y) * z) = x * z. K(x,x \ y) * y = x * (y / x). K(x,y) \ (x \ z) != u | T(x,y) \ z = u. K(x,y) \ z != u | x * (T(x,y) \ z) = u. K(x,x \ y) \ y = (x \ y) * x. K(x,y * K(z,z \ 1)) = x \ T(x,y). (x \ (T(x,y) / z)) \ K(x,y) = R(z,T(x,y) \ 1,x). T(x,y) \ x != z | z = K(y,x). T(x,y) \ x != z | K(y,x) = z. ((x \ y) \ y) * K(y / x,x) = x. T(x,y) * y = x * (y * K(x,y)). x * (y * K(x,y)) = T(x,y) * y. T(1 / (1 / x),y) = (1 / (1 / x)) / K(y,x). (1 / (1 / x)) / K(y,x) = T(1 / (1 / x),y). K(x,y / x) * (x \ y) = y / x. x != K(y \ (y / z),y) \ y | x = T(y,z \ 1). T(x,x \ (x / y)) = T(x,y \ 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 * K(y,x)) \ (y * x) = y. (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). (1 / (x * K(y,x))) * L(x,z,u) = L(T(x * K(y,x),y),z,u) / (x * K(y,x)). L(T(x * K(y,x),y),z,u) / (x * K(y,x)) = (1 / (x * K(y,x))) * L(x,z,u). 1 / (1 / x) = T(1 / (1 / (x * K(y,x))),y). T(1 / (1 / (x * K(y,x))),y) = 1 / (1 / x). T(K(x,y) * y,x) = y. ((x \ 1) \ 1) * y = (y * K(x,y)) * ((x \ 1) \ 1). (x * K(y,x)) * ((y \ 1) \ 1) = ((y \ 1) \ 1) * x. T(K(x,y \ 1) / y,x) = 1 / y. T(x,y) = T(x,y * K(x,y)). T(x,y * K(x,y)) = T(x,y). T(x,L(y,z,u)) = T(x,L(y * K(x,y),z,u)). T(x,L(y * K(x,y),z,u)) = T(x,L(y,z,u)). L(x * K(y,x),y,x) = L(x * K(y,x),y,x * K(y,x)). L(x * K(y,x),y,x * K(y,x)) = L(x * K(y,x),y,x). x * y != z * K(z,u) | T(z,u) / y = x. T(x * y,z) / a(x,y,K(x * y,z)) = x * (y * K(x * y,z)). x != T(y,z * (u \ 1)) | x = T(y,z * (1 / u)). x * K(x,y * (z \ 1)) = T(x,y * (1 / z)). x != T(y,z) | x = T(y,T(z,T(y,u))). x * K(x,y) = T(x,T(y,T(x,z))). T(x,T(y,T(x,z))) = x * K(x,y). x != T(y,z) | x = T(y,((z \ u) / u) \ 1). x * K(x,y) = T(x,((y \ z) / z) \ 1). T(x,((y \ z) / z) \ 1) = x * K(x,y). x != T(y,z) | x = T(y,T(z,y / z)). x * K(x,y) = T(x,T(y,x / y)). T(x,T(y,x / y)) = x * K(x,y). T(x,y) * K(T(x,y),z) = T(T(x,z),y). T(x,y) != x * z | K(x,y) = z. R(x,y,K(y,z)) = ((x * y) * K(y,z)) / T(y,z). ((x * y) * K(y,z)) / T(y,z) = R(x,y,K(y,z)). x \ T(x,y) != z | z = K(x,y). x \ T(x,y) != z | K(x,y) = z. T(1 / x,y) = (1 / x) * K(x \ 1,y). (1 / x) * K(x \ 1,y) = T(1 / x,y). (x * K(y,z)) \ (x * T(y,z)) = L(y,K(y,z),x). x * y != K(z,u) * z | T(z,u) / y = x. T(x,y) / R(x,z,u) = (K(x,y) / R(x,z,u)) * x. (K(x,y) / R(x,z,u)) * x = T(x,y) / R(x,z,u). K(L(x,y,z),u) * L(x,y,z) = L(T(x,u),y,z). K(T(x,y),z) * T(x,y) = T(T(x,z),y). x * (K(y,x) * y) = y * x. (K(x,y) * z) \ T(x,y) != u | L(z \ x,z,K(x,y)) = u. T(x * y,z) * a(K(x * y,z),y,T(x,y)) = (K(x * y,z) * y) * T(x,y). ((K(x,y) * z) * (z \ x)) / T(T(x,y),a(K(x,y),z,z \ x)) = a(K(x,y),z,z \ x). K(x,x \ y) = y / ((x \ y) * x). x / ((y \ x) * y) = K(y,y \ x). K(x,1 / (y * x)) = (x * (1 / (y * x))) / (1 / T(y,x)). (x * (1 / (y * x))) / (1 / T(y,x)) = K(x,1 / (y * x)). x != ((y * z) / y) \ z | x = z * (((y * z) / y) \ 1). K(x,y) = x * (((y * x) / y) \ 1). x * y != ((z * u) / z) \ u | x \ K(u,z) = y. x \ K(x,y) = ((y * x) / y) \ 1. ((x * y) / x) \ 1 = y \ K(y,x). K(x,y) \ x = (y * x) / y. L(T(x,y) \ 1,x,z) = (z * x) \ (z * K(y,x)). (x * y) \ (x * K(z,y)) = L(T(y,z) \ 1,y,x). x \ (y * K(z,y \ x)) = L(T(y \ x,z) \ 1,y \ x,y). L(T(x \ y,z) \ 1,x \ y,x) = y \ (x * K(z,x \ y)). x * (K(y,z) / z) = x * (1 / T(z,y)). 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. T(T(x,x \ 1),y) = (x \ K(y,x)) \ 1. (x \ K(y,x)) \ 1 = T(T(x,x \ 1),y). K(x \ 1,x) * K(y,x) = (T(x,y) \ 1) * x. x / ((y * x) / y) = K(x,y). K(x,y) = x / ((y * x) / y). K(x \ y,x) * (y / x) = x \ y. K(a(x,y,z),x * (y * z)) * (((x * y) * z) / (x * (y * z))) = a(x,y,z). K(x,y / x) * y = x * (y / x). x * y != z * (y * x) | K(x,y) = z. x * (y * z) != z * y | K(z,y) = x. (x * y) * L(z,y * x,K(x,y)) = K(x,y) * ((y * x) * z). K(L(x,y,z),z * y) * (z * (y * x)) = L(x,y,z) * (z * y). (x * y) * z != K(x,y) * ((y * x) * u) | L(u,y * x,K(x,y)) = z. K(x,y) * ((y * x) * z) != (x * y) * u | L(z,y * x,K(x,y)) = u. (x * y) \ (K(x,y) * (y * (x * z))) = L(L(z,x,y),y * x,K(x,y)). T(x * y,z) / (y * x) = (y * x) \ T(x * y,z). T(x,y * x) * T(y,x) = (y * x) * K(T(x,y),y * x). (x * y) * K(T(y,x),x * y) = T(y,x * y) * T(x,y). ((x \ (1 / y)) * x) * y = K((x * y) \ 1,x). T(x,y) * K(y,T(x,y)) = x. x != (y \ 1) * K(z,y \ 1) | x = y \ K(z,1 / y). (x * (y \ 1)) / x = y \ K(x,1 / y). x \ K(y,1 / x) = (y * (x \ 1)) / y. x * y != z * K(u,z) | x \ ((u * z) / u) = y. (x * y) \ ((x * y) / x) = L(x \ 1,x,y). T(x,y) \ ((z * x) / z) = x * (T(x,y) \ K(z,x)). x * ((y * z) / y) = x * (z * K(y,z)). x != ((y / z) * z) / u | x = y / u. x * K(y / x,x) = y / (y / x). x / (x / y) = y * K(x / y,y). (x * K(y / x,x)) \ y = y / x. T(x,y) * K(y,T(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). R(x / y,y,K(z,x)) \ ((z * x) / z) = y * K(z,x). R(x * K(y,x),y,y \ 1) = (y * x) * (y \ 1). 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. ((x / y) * (y * K(z,x))) \ ((z * x) / z) = a(x / y,y,K(z,x)). T(T(x * K(y,x),z),x * y) = L(T(x,z),y,x). T(x * K(y,x),x \ y) = (x \ y) \ T(y,x). L(x * K(y * z,x),z,y) = (y * (z * x)) / (y * z). (x * y) / ((z * y) / z) = (x / (y * K(z,y))) * y. ((x * y) * L(y,z,u)) / (x * L(y,z,u)) = y * K(x * L(y,z,u),y). L(x,y,x) = (y * K(x,y)) \ ((x * (y * x)) / x). (x * K(y,x)) \ ((y * (x * y)) / y) = L(y,x,y). ((x * y) * R(y,z,u)) / (x * R(y,z,u)) = y * K(x * R(y,z,u),y). (1 / x) * ((y * x) / y) = K(y,x). K(x,y) = (1 / y) * ((x * y) / x). T(x * K(y,x),y * x) = L(x,y,x). (x \ (y * K(x,y))) * x = (x \ y) * T(x,y). K(x,(y * z) / y) = ((y * ((x * z) / x)) / y) / ((y * z) / y). ((x * ((y * z) / y)) / x) / ((x * z) / x) = K(y,(x * z) / x). K(x,x \ y) = (x \ y) \ (y / x). (x \ y) \ (y / x) = K(x,x \ y). (1 / x) \ K(x,y) != z | z = T(x,y). (1 / x) \ K(x,y) != z | T(x,y) = z. K(x,y) != z | x \ T(x,y) = z. K(1 / x,y) / x = T(1 / x,y). (x * T(y,z)) \ (x * K(y,z)) != u | L(y \ 1,T(y,z),x) = u. K(x,x * y) = T(x,y * x) * (x \ 1). T(x,y * x) * (x \ 1) = K(x,x * y). T(x,y) * (x \ 1) != z | z = K(x,y). T(x,y) * (x \ 1) != z | K(x,y) = z. T(x \ (x / y),z) \ K(x \ (x / y),z) != u | R(y,x \ 1,x) = u. x * (y * R(z,u,w)) != (y * R(z,u,w)) * T(z,y) | x = R(z,y,R(z,u,w)). T(x,y) * K(y * R(x,z,u),T(x,y)) = R(x,y,R(x,z,u)). (1 / (1 / x)) / (x * y) = x / ((y * K(x,y)) * ((x \ 1) \ 1)). x / ((y * K(x,y)) * ((x \ 1) \ 1)) = (1 / (1 / x)) / (x * y). 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). x != (y * z) / y | x = z * K(y,z). K(x,y) \ x = x * K(y,x). K(x,x \ y) = x / (y / (y / x)). x / (y / (y / x)) = K(x,x \ y). T(x,y) * z != x | z = K(y,x). K(x,T(y,x)) = K(x,y). K(x,L(T(y,x),z,u)) = K(x,L(y,z,u)). K(x,x \ y) = K(x,y / x). K(x,y / x) = K(x,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,R(y,x,x \ 1)) = K(x,(x * y) * (x \ 1)). K(x,(x * y) * (x \ 1)) = K(x,R(y,x,x \ 1)). K(T(x,y),y) = K(x,y). K(x,y) \ 1 = K(y,x). 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((x \ y) \ y,x \ y) = K(x,x \ y). K(T(x,y),y * x) = K(R(x,y,x),y * x). K(R(x,y,x),y * x) = K(T(x,y),y * x). K(x,x \ y) = K(y / (y / x),x \ y). K(x / (x / y),y \ x) = K(y,y \ x). K(x,y) * K(y,x) = 1. K(x,y) \ 1 != z | K(y,x) = z. K(x,T(y,x)) != z | K(x,y) = z. K(x,y) = K(x * K(y,x),y). K(x * K(y,x),y) = K(x,y). (T(x,y) * y) / T(x,y) = y * K(x,y). x != y \ 1 | x = (z \ y) \ (z \ 1). K(x,y) = (z \ K(y,x)) \ (z \ 1). (x \ K(y,z)) \ (x \ 1) = K(z,y). x * y != K(z,u) \ 1 | x \ K(u,z) = y. x \ K(y,z) = (K(z,y) * x) \ 1. (K(x,y) * z) \ 1 = z \ K(y,x). 1 / K(x,y) = K(y,x). (x \ K(y,z)) * K(z,y) = x \ 1. (K(x,y) / z) \ 1 = z * K(y,x). 1 / K(x,y) != z | z = K(y,x). 1 / K(x,y) != z | K(y,x) = z. 1 / (x * K(y,z)) = K(z,y) / x. x \ K(y,z) != u | (K(z,y) * x) \ 1 = u. x / (y \ K(z,u)) = (1 / x) \ (K(u,z) * y). (1 / x) \ (K(y,z) * u) = x / (u \ K(z,y)). K(x,y) * T(z,z \ 1) = (z \ K(y,x)) \ 1. L(L(K(x,y),z,u),K(y,x),w) = L((w * K(y,x)) \ w,z,u). R(x / (y \ K(z,u)),y \ K(z,u),K(u,z)) = (K(z,u) / x) \ y. (x * K(y,x)) \ 1 = x \ K(x,y). K(K(x,y),z) = T(K(x,y),z) * K(y,x). T(K(x,y),z) * K(y,x) = K(K(x,y),z). 1 != K(x,y) * z | K(y,x) = z. K(x,y) * z != 1 | K(y,x) = z. (x \ 1) / K(y,z) = x \ K(z,y). T(x * K(y,z),x \ K(z,y)) = ((x * K(y,z)) \ 1) \ 1. 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). T(x,K(y,y \ x)) = x. x * K(x / y,y) = (y \ x) * y. L(T(x,y),z,u) \ L(x,z,u) != w | K(y,L(x,z,u)) = w. R(T(x,y),z,u) \ R(x,z,u) != w | K(y,R(x,z,u)) = w. K(x \ (x / y),x) != z | K(y \ 1,x) = z. L(x,y,z) \ L(T(x,u),y,z) != w | K(L(x,y,z),u) = w. x \ ((x \ y) \ y) != z | K(x,x \ y) = z. x \ L(T(x,y),y,x) != z | K(x,x * y) = z. x \ T(x,y \ 1) != z | K(x,1 / y) = z. (x * T(x \ y,z)) / y != u | K(y / x,z) = u. T(K(x,y),x) != z | K(x,y) = z. (x \ K(y,z)) \ (x \ 1) != u | K(z,y) = u. K(x,y / x) != z | K(x,x \ y) = z. K(x,x \ (y * x)) != z | K(x,y) = z. K(x,R(T(y,x),z,u)) != w | K(x,R(y,z,u)) = w. K(x,R(T(y,x * z),x,z)) != u | K(x,(x * z) \ ((x * y) * z)) = u. K(T(x,x \ 1),y) != z | K(x,y) = z. K((x \ 1) \ 1,y) != z | K(x,y) = z. 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 / (z / u)),y) | x = (z * T(z \ u,y)) / u. K((x / y) \ 1,z) = (x * T(x \ y,z)) / y. (x * T(x \ y,z)) / y = K((x / y) \ 1,z). x != K(y \ (y / (z \ u)),y) | x = z \ (u * T(u \ z,y)). K((x \ y) \ 1,z) = x \ (y * T(y \ x,z)). x \ (y * T(y \ x,z)) = K((x \ y) \ 1,z). K(x \ 1,y) / x = T(1 / x,y). x * T(x \ y,z) = y * K((y \ x) \ 1,z). K((x / y) \ 1,z) * y = x * T(x \ y,z). x * (y * T(y \ (x \ 1),z)) = K((x * y) \ 1,z). T(1 / x,y) * x = K(x \ 1,y). (x * y) * T((x * y) \ x,z) = x * K(y \ 1,z). ((x * y) \ x) * (x * y) = x * K(y \ 1,x * y). K(x \ 1,y) * (x \ z) = z * T(z \ (x \ z),y). x * (y * T(y \ (x \ y),z)) = K(x \ 1,z) * y. (x * (y * T(y \ 1,z))) * y = (x * y) * K(y \ 1,z). T(K(x \ 1,y),z) = K(y \ (y / T(x,z)),y). K(x \ (x / T(y,z)),x) = T(K(y \ 1,x),z). (x * y) * (z * T(z \ L(y \ z,y,x),u)) = (x * K(y \ 1,u)) * z. (x * y) * ((z \ L(y \ z,y,x)) * z) = (x * K(y \ 1,z)) * z. L(K(x \ 1,y),z,u) = K(y \ (y / L(x,z,u)),y). K(x \ (x / L(y,z,u)),x) = L(K(y \ 1,x),z,u). (x * (y \ 1)) \ (x * (T(y,z) \ 1)) != u | L(K(z,y),y \ 1,x) = u. K(x,y) * K(x \ 1,x) = (x \ K(x,y)) * x. (K(x,y) * z) * u != T(x,y) * z | T(x,K(x,y) * z) = u. T(x,K(x,y) * z) = (K(x,y) * z) \ (T(x,y) * z). (K(x,y) * z) \ (T(x,y) * z) = T(x,K(x,y) * z). 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) * (x \ u) | y = ((z * x) / z) \ u. K(x,y) * (x \ z) = ((y * x) / y) \ z. ((x * y) / x) \ z = K(y,x) * (y \ z). x * y != T(x,z) * (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). x * y != T(x,z) * T(z,x * z) | y = L(z,x,z). K(x,y) * T(y,x * y) = L(y,x,y). (x * y) * z != T(x * y,x) * T(x,y) | z = R(x,y,x). K(x * y,x) * T(x,y) = R(x,y,x). 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 * (y * K(x,z)) = T(x,z) * T(y,K(x,z)). T(x,y) * T(z,K(x,y)) = x * (z * K(x,y)). x \ (T(x,y) * z) != u | u = K(x,y) * z. x \ (T(x,y) * z) != u | K(x,y) * z = u. K(x,y) \ (y * z) = T(y,x) * z. (x \ y) * T((x \ y) \ y,z) = K(x,z) * y. x != K(y,z) * R(y,u,w) | x = R(y,u,w) * K(y,z). T(x,y) * (x \ R(x,z,u)) = R(x,z,u) * K(x,y). 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 != T(y,z) * (y \ u) | x = ((z * y) / z) \ (y * u). K(x,y) * z = ((y * x) / y) \ (x * z). ((x * y) / x) \ (y * z) = K(y,x) * z. x != T(y,z) * (y \ L(y,u,w)) | x = (y \ L(y,u,w)) * T(y,z). K(x,y) * L(x,z,u) = (x \ L(x,z,u)) * T(x,y). (x \ L(x,y,z)) * T(x,u) = K(x,u) * L(x,y,z). x * y != T(z,u) * (z \ (T(u,z) * w)) | (u * w) / y = x. (x * y) / (T(x,z) * y) = K(z,x). x * y != T(z,u) * (z \ w) | x \ (K(z,u) * w) = y. x \ (K(x,y) * z) = K(x,y) * (x \ z). x \ (K(y,x) * z) = T(x,y) \ z. T(x * y,z) * L(u,y,x) = K(x * y,z) * (x * (y * u)). K(x * y,z) * (x * (y * u)) = T(x * y,z) * L(u,y,x). (K(x,y) * z) / (x \ z) != u | u = T(x,y). (K(x,y) * z) / (x \ z) != u | T(x,y) = u. 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) \ (x * z) = K(y,x) * z. T(x,y) \ z = K(y,x) * (x \ z). K(x,y) * (y \ z) = T(y,x) \ z. x * y != K(x \ 1,x) * (z \ 1) | T(z \ (x \ 1),x) = y. T(x \ (y \ 1),y) = T(y,y \ 1) \ (x \ 1). T(x,x \ 1) \ (y \ 1) = T(y \ (x \ 1),x). x * y != z * (T(z,(u / w) / (w \ 1)) \ (u / w)) | (T(u,z) / w) / y = x. (T(x,y) / z) / (x / z) = K((x / z) / (z \ 1),y). K((x / y) / (y \ 1),z) = (T(x,z) / y) / (x / y). T(x,y) * (K(y,x) * z) = x * z. K(x,y) * (y \ z) != u | T(y,x) \ z = u. x * K(T(x,y),z) = K(y,x) * T(T(x,y),z). K(x,y) * T(T(y,x),z) = y * K(T(y,x),z). K(x,y / x) * ((x \ y) * z) = (y / x) * z. K(x,y) \ (y * z) != u | u = T(y,x) * z. K(x,y) \ (y * z) != u | T(y,x) * z = u. (x * y) \ (K(z,x) * (T(x,z) * (y * u))) = L(L(u,y,T(x,z)),T(x,z) * y,K(z,x)). L(L(x,y,T(z,u)),T(z,u) * y,K(u,z)) = (z * y) \ (K(u,z) * (T(z,u) * (y * x))). K(x \ y,y) = (x * T(x \ y,y)) * (y \ 1). (x * T(x \ y,y)) * (y \ 1) = K(x \ y,y). x != (y / z) * T((y / z) \ 1,u) | x = (y * T(y \ z,u)) / z. K(1 / (x / y),z) = (x * T(x \ y,z)) / y. (x * T(x \ y,z)) / y = K(1 / (x / y),z). K(x,(x / y) / x) = K(x,1 / y). x != y \ T(y,(z \ u) \ 1) | x = z \ (u * ((y * (u \ z)) / y)). K(x,1 / (y \ z)) = y \ (z * ((x * (z \ y)) / x)). x \ (y * ((z * (y \ x)) / z)) = K(z,1 / (x \ y)). K(x,1 / y) != z | K(x,y \ 1) = z. (x \ y) * K((x \ 1) \ 1,x \ y) = y / x. T(x \ y,R(y / x,z,u)) = x \ y. (x \ y) / (T(x,z) \ y) = K(x,z). x * y != z * T(u,z) | x \ (u * z) = y. K(x,y) \ (z * T(x,y)) = x * T(z,T(x,y)). x != K(y,z) * (y * K(u,y)) | x = (y * K(u,y)) * K(y,z). T(x,y) * K(z,x) = (x * K(z,x)) * K(x,y). (x * K(y,x)) * K(x,z) = T(x,z) * K(y,x). K(R(x,y,z),u) * (R(x,y,z) * w) = R(T(x,u),y,z) * w. T(x,y) * (x \ z) != u | K(x,y) * z = u. K(x,y) * (L(z,u,w) * x) = T(x,y) * L(T(z,x),u,w). K(x,y) * (R(z,u,w) * x) = T(x,y) * R(T(z,x),u,w). x != y * (T(y,z) \ u) | x = K(z,y) * u. K(x,y) \ z = K(y,x) * z. x * y != z * (T(z,u) \ w) | (K(z,u) \ w) / y = x. (K(x,y) \ z) / z = K(y,x). (x * K(y,z)) \ x = K(z,y). (x \ 1) / (x \ K(x,y)) = K(y,x). x \ 1 = K(y,x) * (x \ K(x,y)). K(x,y) * (y \ K(y,x)) = y \ 1. x / (K(y,z) * x) = K(z,y). T(x,K(y,z)) = K(z,y) * (x * K(y,z)). K(x,y) * (z * K(y,x)) = T(z,K(y,x)). K(x,y) * (K(y,x) * z) = z. x != K(y,z) * T(T(z,u),w) | x = T(T(z,u),w) * K(y,z). K(x,y) \ T(T(x,z),u) = T(T(x,z),u) * K(y,x). x * y != K(z,u) * w | x \ (K(u,z) \ w) = y. x \ (K(y,z) \ x) = T(K(z,y),x). x * (K(y,z) * u) != u | x = K(z,y). x * (K(y,z) * u) != u | K(z,y) = x. K(x,y) * (K(y,x) * z) != u | u = z. x / (K(y,z) * x) != u | u = K(z,y). x / (K(y,z) * x) != u | K(z,y) = u. 1 / (K(x,y) * z) = (1 / z) * K(y,x). (K(x,y) \ z) * L(u,z,K(y,x)) = K(y,x) * (z * u). L(x \ (K(y,z) * u),x,K(z,y)) = (K(z,y) * x) \ u. L(K(x,y) * (z \ u),K(y,x),z) = (z * K(y,x)) \ u. T((x \ K(y,z)) \ 1,K(z,y) * x) = (x \ K(y,z)) \ 1. R(x,K(y,z),K(z,y) * u) * u = (x * K(y,z)) * (K(y,z) \ u). R(K(x,y) * R(K(y,x),z,u),K(y,x),z * u) = ((K(y,x) * z) * u) / (K(y,x) * (z * u)). K(x,y) != z | z = K(y,x) \ 1. K(x,y) != z | K(y,x) \ 1 = z. K(x,y) * z != u | u = K(y,x) \ z. K(x,y) * z != u | K(y,x) \ z = u. (((x \ y) \ y) * K(z,u)) \ T(x,x \ y) = K(u,z). (x * K(y,z)) * K(z,y) = x. x / K(y,z) = x * K(z,y). x * K(y,z) != u | x = u * K(z,y). x * K(y,z) != u | u * K(z,y) = x. (x * K(y,z)) * K(z,y) != u | u = x. (x / y) * y = (x * K(z,u)) * K(u,z). x / K(y,z) != u | u = x * K(z,y). x / K(y,z) != u | x * K(z,y) = u. L(K(x,y),z * K(y,x),u) = (u * (z * K(y,x))) \ (u * z). ((x * K(y,z)) \ x) \ u = K(y,z) * u. K(x,y) * z != u | z = K(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. K(x \ 1,x) * K(y,z) = x / (K(z,y) * ((x \ 1) \ 1)). x / (K(y,z) * ((x \ 1) \ 1)) = K(x \ 1,x) * K(z,y). K(x,y) * z != R(y,u,w) * K(x,y) | z = R(y,u,w). K(x,y) * (R(x,z,u) * K(y,x)) = R(x,z,u). K(x,y) * z != K(y,u) * K(x,y) | z = K(y,u). K(x,y) * (K(x,z) * K(y,x)) = K(x,z). L((K(x,y) * z) \ u,K(x,y) * z,K(y,x)) = z \ (K(y,x) * u). R(x,K(y,z),K(z,y) * u) * u = (x * K(y,z)) * (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))). 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. T(x * K(y,z),K(z,y)) = K(z,y) \ x. x * K(y,z) != K(y,z) * K(z,u) | x = K(z,u). (K(x,y) * K(y,z)) * K(y,x) = K(y,z). a(x,y * K(z,u),K(u,z)) = (x * y) \ ((x * (y * K(z,u))) * K(u,z)). (x * y) \ ((x * (y * K(z,u))) * K(u,z)) = a(x,y * K(z,u),K(u,z)). (x * K(y,z)) \ x != u | u = K(z,y). (x * K(y,z)) \ x != u | K(z,y) = u. R((x / y) * K(z,u),K(u,z),y) = x / (K(u,z) * y). x * (1 / (y * z)) != u \ (z * (1 / (y * z))) | x = (y * u) \ (y * z). x = (y * K(x,z)) \ (y * T(x,z)). (x * K(y,z)) \ (x * T(y,z)) = y. K(x,y) * (x * z) != u | u = T(x,y) * z. K(x,y) * (x * z) != u | T(x,y) * z = u. x * y != z * (T(u,w) / z) | T(z * (u / z),w) / y = x. T(x * (y / x),z) / T(y,z) = K(x,x \ T(y,z)). R(x,y,z * K(y,z)) = ((x * y) * (z * K(y,z))) / (T(y,z) * z). ((x * y) * (z * K(y,z))) / (T(y,z) * z) = R(x,y,z * K(y,z)). T(x,y * K(x,y)) / (T(x,y) * y) = x / ((y * K(x,y)) * x). (x \ (x / y)) * T(x,y \ 1) = x / y. T(1 / x,R(x,y,z) \ x) = 1 / x. K(x,T(y,T(x,z))) = K(x,y). T(x,y * K(y,z)) = T(x,T(y,z)). T(x,T(y,T(x,z))) != u | T(x,y) = u. K(x,T(y,x / y)) = K(x,y). K(x,(y \ x) \ x) = K(x,y). K(x,y \ x) = K(x,x / y). K(x,x / y) = K(x,y \ x). R(x,y,z) * (x * (((u * R(x,y,z)) / u) \ 1)) = x * K(R(x,y,z),u). T(x,x \ K(x,y)) = (x \ 1) \ 1. (L(x,y,x) * y) \ 1 = (y * x) \ K(y * x,x). (x * y) \ K(x * y,y) = (L(y,x,y) * x) \ 1. T(x,y \ K(y,z)) = T(x,z / (z * y)). K(x,y \ 1) * (y \ x) = x * ((y \ x) / x). x \ (x / (x / y)) = (y * (x / y)) \ y. (x * (y / x)) \ x = y \ (y / (y / x)). ((x * y) / x) * z != K(x,y) | T(1 / y,(x * y) / x) = z. T(1 / x,(y * x) / y) = x \ 1. (x \ y) * K(x,x \ y) != z | z = y / x. (x \ y) * K(x,x \ y) != z | y / x = z. (x \ 1) / K(y,z) != u | u = x \ K(z,y). (x \ 1) / K(y,z) != u | x \ K(z,y) = u. x != K(y,z) \ u | x = K(z,y) * u. (K(x,y) * K(z,u)) \ 1 = K(u,z) * K(y,x). (x \ K(x,y)) \ 1 = (x \ 1) \ K(y,x). ((x \ y) * x) \ 1 = y \ K(x,x \ y). (x * y) \ 1 = (y * x) \ K(y,x). (x * y) \ K(x,y) = (y * x) \ 1. (K(x,y) \ z) \ 1 = z \ K(x,y). x \ K(y,z) = (x \ 1) * K(y,z). (x \ 1) * K(y,z) = x \ K(y,z). (x \ 1) \ (x \ K(y,z)) = K(y,z). x * y != (K(z,u) / w) \ 1 | (w * K(u,z)) / y = x. (x * K(y,z)) / u = (K(z,y) / x) \ (1 / u). (K(x,y) / z) \ (1 / u) = (z * K(y,x)) / u. 1 / (x * (y * K(z,u))) = (K(u,z) / y) / x. K(x,1 / (K(y,z) / u)) = K(x,u * K(z,y)). 1 / (K(x,y) * T(x,z)) = K(y,x) / T(x,z). 1 / (x * (y * K(z,z \ 1))) = K(z \ 1,z) / (x * y). T((x * K(y,x)) * (R(K(y,x),x,(x * K(y,x)) \ 1) \ 1),z) = (x * K(y,x)) * (T(x,z) * (x \ K(x,y))). K(((x / y) \ 1) \ y,(x / y) \ 1) = K(x,x \ y). L(x,K(y,y \ z),z) = (y * (z / y)) \ (z * (K(y,y \ z) * x)). (x * (y / x)) \ (y * (K(x,x \ y) * z)) = L(z,K(x,x \ y),y). T(1 / x,y) \ 1 = x * K(y,x \ 1). K(x,y) = (z * x) \ (z * T(x,y)). (x * y) \ (x * T(y,z)) = K(y,z). x * (K(x,y) * z) != u | u = T(x,y) * z. x * (K(x,y) * z) != u | T(x,y) * z = u. x \ y != K(x,z) * u | T(x,z) \ y = u. K(x,x \ y) * (((x \ y) \ y) \ z) = x \ z. T(x,y) = (z * K(y,x)) \ (z * x). (x * K(y,z)) \ (x * z) = T(z,y). (R(x,y,z) * u) / (R(T(x,w),y,z) * u) = K(w,R(x,y,z)). (x * T(x \ y,z)) \ y = K(z,x \ y). x != T(y,z) \ (y * T(z,T(y,u))) | x = T(T(z,y),T(y,u)). K(x,y) * T(x,T(y,z)) = T(T(x,y),T(y,z)). K(x,y) = (z * T(y,x)) \ (z * y). (x * T(y,z)) \ (x * y) = K(z,y). L(T(x,y),z,u) \ (L(x,z,u) * w) = K(y,L(x,z,u)) * w. T(x,y) \ (z * x) = K(y,x) * T(z,x). T(x,y) * (K(y,x) * z) != u | u = x * z. T(x,y) * (K(y,x) * z) != u | x * z = u. T(T(x,y),z) \ x = K(z,T(x,y)) * K(y,x). K(x,T(y,z)) * K(z,y) = T(T(y,z),x) \ y. T(x,y) \ T(x,z) = K(y,x) * K(x,z). x * (K(y,x) * z) = K(y,x) * (x * z). K(x,y) * (y * z) = y * (K(x,y) * z). x * (K(y,x) * (x \ z)) = K(y,x) * z. x / T(y,x) = K(x,y) * (x / y). K(x,y) * (x / y) = x / T(y,x). K(x,y / z) * (z * T(z \ y,x)) = y. T(x,y) / (K(z,x) * K(x,y)) = T(x,z). K(x,y / x) = K(x,1 / (y \ x)). K(x,1 / (y \ x)) = K(x,y / x). (x / y) * K(x,1 / y) = x * ((x / y) / x). (L(x,y,z) \ u) / (L(T(x,w),y,z) \ u) = K(L(x,y,z),w). (x \ 1) / (x \ K(x,y)) != z | z = K(y,x). (x \ 1) / (x \ K(x,y)) != z | K(y,x) = z. K(x,y) * (z * R(T(K(y,x),z),u,w)) = (K(x,y) * R(K(x,y) \ 1,u,w)) * z. K(x,y) * (z * L(T(K(y,x),z),u,w)) = (K(x,y) * L(K(x,y) \ 1,u,w)) * z. (x * K(y,z)) * y = x * T(y,z). (x * T(y,z)) / y = x * K(y,z). (x * K(y,z)) * y != u | u = x * T(y,z). (x * K(y,z)) * y != u | x * T(y,z) = u. x / y = (x / T(y,z)) * K(y,z). (x / T(y,z)) * K(y,z) = x / y. (x \ K(x,y)) * T((x \ 1) \ 1,z) = T(x,z) * (x \ K(x,y)). (x * y) * ((y * x) \ 1) = K(x,y). K(x,y) = (x * y) * ((y * x) \ 1). ((x * K(y,z)) \ 1) \ 1 = (x \ 1) \ K(y,z). x * K(y,z) = (1 / x) \ K(y,z). (1 / x) \ K(y,z) = x * K(y,z). x \ ((1 / x) \ K(y,z)) = K(y,z). (x \ (y \ 1)) * K(z,u) = (y * x) \ K(z,u). (x \ 1) \ (x \ K(y,z)) != u | u = K(y,z). (x \ 1) \ (x \ K(y,z)) != u | K(y,z) = u. 1 / (x \ K(y,z)) = K(z,y) / (x \ 1). K(x,y) / (z \ 1) = 1 / (z \ K(y,x)). (x \ 1) * K(y,z) != u | u = x \ K(y,z). (x \ 1) * K(y,z) != u | x \ K(y,z) = u. x \ (y * T(y \ x,z)) = K(y \ x,z). (x * y) * K(y,z) = x * T(y,z). ((x / T(y,z)) * y) \ x = K(y,z). (x * y) * K(y,z) != u | u = x * T(y,z). (x * y) * K(y,z) != u | x * T(y,z) = u. (x * K(y,z)) * T(z,y) = x * z. (x * y) / T(y,z) = x * K(z,y). x / T(y,z) = (x / y) * K(z,y). (x / y) * K(z,y) = x / T(y,z). (x * T(y,z)) * K(z,y) = x * y. x * K(y,z) != u * z | x = u * T(z,y). x * K(y,z) != u * z | u * T(z,y) = x. (x / T(y,x)) * L(z,x / y,K(x,y)) = K(x,y) * ((x / y) * z). R(K(x,y),x / y,z) \ ((x / T(y,x)) * z) = (x / y) * z. 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 * T(y * K(x,z),x) = y * T(x,z). x * y != z * T(x,u) | T(z * K(x,u),x) = y. T(x * K(y,z),y) = y \ (x * T(y,z)). x \ (y * T(x,z)) = T(y * K(x,z),x). x * y != (1 / z) * T(z,u) | K(z,u) / y = x. K(x,y) / x = (1 / x) * K(x,y). (1 / x) * K(x,y) = K(x,y) / x. 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). 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 * T(y,z) != (u * K(y,z)) * y | x = u. (x * K(y,z)) * y != u * T(y,z) | u = x. 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). (x * K(y,z)) \ (x * T(y,z)) != u | u = y. 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. (T(x,y) \ 1) * y = (x \ 1) * T(y,x). ((x * K(y,z)) * K(u,y)) \ (x * T(y,z)) = T(y,u). x * y != (z * T(u,w)) / u | x \ (z * K(u,w)) = y. (x / y) \ (x * K(y,z)) = T(y,z). T(x * K(y,z),y) != u | y \ (x * T(y,z)) = u. x != y * K(z,u) | x = y / K(u,z). x / y = (x / T(y,z)) / K(z,y). (x / T(y,z)) / K(z,y) = x / y. (x / (y \ z)) * K(z / y,y) = x / (z / y). (1 / x) * (x * K(y,z)) = K(y,z). (1 / x) \ K(y,z) != x * u | K(y,z) = u. ((1 / x) * y) \ K(z,u) = (y \ x) * K(z,u). 1 / ((1 / x) \ K(y,z)) = K(z,y) / x. x * K(y,z) != u | u = (1 / x) \ K(y,z). x * K(y,z) != u | (1 / x) \ K(y,z) = u. x * L(K(y,z),u,w) = (1 / x) \ L(K(y,z),u,w). (1 / x) \ L(K(y,z),u,w) = x * L(K(y,z),u,w). x * K(y \ x,z) = y * T(y \ x,z). x * T(x \ y,z) = y * K(x \ y,z). x != y * T(z,u) | x = (y * K(z,u)) * z. (x * y) * K(y,z) = (x * K(y,z)) * y. (x * K(y,z)) * y = (x * y) * K(y,z). K(x,y) * z != u * T(x,y) | T(u * x,K(x,y)) = z. T(x * y,K(y,z)) = K(y,z) \ (x * T(y,z)). K(x,y) \ (z * T(x,y)) = T(z * x,K(x,y)). x * y != z * T(u,w) | x \ ((z * u) * K(u,w)) = y. (x * K(y,z)) \ ((x * y) * K(y,z)) = y. (x / y) * T(y,z) != u | x * K(y,z) = u. R(x * y,K(y,x),K(x,z)) \ (y * T(x,z)) = K(y,x) * K(x,z). ((x * y) * T(z,u)) / ((y * z) * K(z,u)) = R(R(x,y,z),y * z,K(z,u)). (x * K(y,x)) * K(x,z) = K(y,x) * T(x,z). (x * y) * K(y,z) = x * (y * K(y,z)). (x / T(y,z)) * y = x * K(z,y). x / T(y \ x,z) = y * K(z,y \ x). 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 * y != (z * u) / T(u,w) | (z * K(w,u)) / y = x. (x * K(y,z)) / z = x / T(z,y). x * K(y,z) != z * u | T(x / T(z,y),z) = u. x != y / T(z,y) | x = T(y,z) / z. (x / y) * K(x,y) = T(x,y) / y. (x * ((y \ z) \ z)) * K(y \ z,y) = x * y. (((x * y) * T(z,u)) * K(u,z)) / (y * z) = R(R(x,y,T(z,u)),y * T(z,u),K(u,z)). R(R(x,y,T(z,u)),y * T(z,u),K(u,z)) = (((x * y) * T(z,u)) * K(u,z)) / (y * z). 1 / (x * y) = K(y,z) / (x * T(y,z)). K(x,y) / (z * T(x,y)) = 1 / (z * x). x * y != (z / u) * T(u,w) | x \ (z * K(u,w)) = y. ((x / y) * K(y,z)) \ (x * K(y,z)) = y. T(x,y) * z != u * K(x,y) | T(u / x,T(x,y)) = z. (x / y) \ T(x * K(y,z),(x / y) \ 1) = (((x / y) \ 1) \ T(y,z)) * ((x / y) \ 1). (x / y) * K(z,y) != u | u = x / T(y,z). (x / y) * K(z,y) != u | x / T(y,z) = u. L(K(x,y),z,z \ 1) = K(x,y). (1 / x) * (y * (x / y)) = K(y,y \ x). x * y != z * K(u,x) | T(z / T(x,u),x) = y. T(x / T(y,z),y) = y \ (x * K(z,y)). x \ (y * K(z,x)) = T(y / T(x,z),x). ((x * y) \ y) * (x * y) = y * K(x \ 1,x * y). x * K(y * x,y) = y \ T(y * x,y). x \ T(x * y,x) = y * K(x * y,x). (x \ T(y,x)) \ (x \ y) = K(x,y). K(x,y) = (x \ T(y,x)) \ (x \ y). T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)) = L(z,z \ (x * K(y,z)),z). T(T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)),u) = L(T(z,u),z \ (x * K(y,z)),z). T(K(x * (1 / y),y \ 1) / y,x) = R(1 / y,x,1 / y). K(x \ 1,y) != z | K(1 / x,y) = z. T(x,x * y) * K(y,x) = L(x,y,x). x * y != K(z,u) * T(u,u * z) | x \ L(u,z,u) = y. T(x,x * y) \ L(x,y,x) = K(y,x). K(x,y) = T(y,y * x) \ L(y,x,y). T(x,y) * K(x * y,x) = R(x,y,x). x * y != K(z * u,z) * T(z,u) | x \ R(z,u,z) = y. x \ R(x,y,x) = T(x,x * y) \ T(x,y). T(x,x * y) \ T(x,y) = x \ R(x,y,x). (K(x,y) * K(y,z)) * K(y,x) != u | u = K(y,z). (K(x,y) * K(y,z)) * K(y,x) != u | K(y,z) = u. T(x,y) != z | x * K(x,y) = z. ((x * K(y,z)) \ (u \ 1)) * u != w | K(z,y) * ((x \ (u \ 1)) * u) = w. (((x \ y) \ y) * K(z,u)) \ T(x,x \ y) != w | K(u,z) = w. (1 / x) * R(T(1 / x,R(x,y,z) \ x) \ 1,u,w) = T((1 / x) * R((1 / x) \ 1,u,w),R(x,y,z) \ x). T((1 / x) * R((1 / x) \ 1,y,z),R(x,u,w) \ x) = (1 / x) * R(T(1 / x,R(x,u,w) \ x) \ 1,y,z). T(x,R(T(x,y) \ z,u,w)) != v5 | T(x,R(z / T(x,y),u,w)) = v5. x * y != T(z,z * u) * K(u,z) | x \ L(z,u,z) = y. x \ L(x,y,x) = K(x,x * y) * K(y,x). K(x,x * y) * K(y,x) = x \ L(x,y,x). T(x,y \ x) * K(y \ 1,x) = L(x,y \ 1,x). T(x,x * y) * K(y,x) != z | z = L(x,y,x). T(x,x * y) * K(y,x) != z | L(x,y,x) = z. 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). L(K(x * y,x),T(x,y),z) = (z * T(x,y)) \ (z * R(x,y,x)). (x * T(y,z)) \ (x * R(y,z,y)) = L(K(y * z,y),T(y,z),x). R(x * T(x \ 1,y),z,u) * R(R(x * T(x \ 1,y),z,u) \ 1,w,v5) = R((x * T(x \ 1,y)) * R(K(y,x \ 1),w,v5),z,u). x != T(y,z) \ y | x = K(z,y). K((1 / x) \ y,y) = K(y * x,y). K(x \ y,y) = K(y * (x \ 1),y). K(x * (y \ 1),x) = K(y \ x,x). K(x * (y \ K(y,z)),x) = K(((z * y) / z) \ x,x). K(((x * y) / x) \ z,z) = K(z * (y \ K(y,x)),z). x * y = K(x,z) * (((z * x) / z) * y). K(x,y) * (((y * x) / y) * z) = x * z. (x * K(y,x)) \ y = x \ (y * K(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 * T(y \ x,z)) = K(z,x / y). x != y / T(y,z) | x = K(z,y). K(x * K(y,y \ 1),z) = K(x,z). K(x * K(y \ 1,y),z) = K(x,z). K(x * y,z) = K(x * (1 / (1 / y)),z). K(x * (1 / (1 / y)),z) = K(x * y,z). K(x * ((y \ 1) \ 1),z) = K(x * y,z). K(x,y) = K(K(z \ 1,z) * x,y). K(K(x \ 1,x) * y,z) = K(y,z). K(x * (1 / y),z) = K(x * (y \ 1),z). K(x / (y \ 1),z) = K(x / (1 / y),z). K(x / (1 / y),z) = K(x / (y \ 1),z). K(((x \ 1) \ 1) * y,z) = K(x * y,z). K((1 / x) * y,z) = K((x \ 1) * y,z). K(x \ (y * K(z,z \ 1)),u) = K(x \ y,u). K(x \ (K(y,y \ 1) * z),u) = K(x \ z,u). K(x \ 1,y) = K(x \ K(z \ 1,z),y). K(x \ K(y \ 1,y),z) = K(x \ 1,z). K((1 / (1 / x)) * y,z) = K(x * y,z). K((1 / (1 / x)) * (x \ y),z) = K(y,z). K(x \ (y \ 1),z) = K(x \ (1 / y),z). K(x \ (1 / y),z) = K(x \ (y \ 1),z). K((K(x,x \ 1) * y) \ z,u) = K(y \ z,u). K(((1 / x) * y) \ z,u) = K(((x \ 1) * y) \ z,u). x * (y * ((z * (y \ (x \ 1))) / z)) = K(z,(x * y) \ 1). x != (y / z) * ((u * ((y / z) \ 1)) / u) | x = (y * ((u * (y \ z)) / u)) / z. K(x,(y / z) \ 1) = (y * ((x * (y \ z)) / x)) / z. (x * ((y * (x \ z)) / y)) / z = K(y,(x / z) \ 1). (x * y) * ((z * ((x * y) \ x)) / z) = x * K(z,y \ 1). (x * y) * ((z * ((x * y) \ y)) / z) = K(z,x \ 1) * y. x * K(y,(x \ z) \ 1) = z * ((y * (z \ x)) / y). ((x * y) * ((z * ((x * y) \ x)) / z)) * y = (x * y) * K(z,y \ 1). K(x,R(y,z,u) \ 1) * (z * u) = ((y * z) * ((x * ((y * z) \ z)) / x)) * u. ((1 / x) * y) * T(((1 / x) * y) \ y,z) = K(x,z) * y. L(x,y,z) \ K(x,L(x,y,z) \ 1) = (L(x,y,z) \ x) / x. x != y \ T(y,z) | x = K(y,z). K(x,x * (y \ 1)) = K(x,y \ x). K(x,y * K(z,z \ 1)) = K(x,y). K(x,y * K(z,1 / z)) = K(x,y). K(x,K(y,y \ 1) * z) = K(x,z). K(x,y / (1 / (1 / z))) = K(x,y / z). K(x,y * ((z \ 1) \ 1)) = K(x,y * z). K(x,y * T(z,z \ 1)) = K(x,y * z). K(x,y) = K(x,K(z \ 1,z) * y). K(x,K(y \ 1,y) * z) = K(x,z). K(x,y * (1 / z)) = K(x,y * (z \ 1)). K(x,L(y,z,z \ 1)) = K(x,(z \ 1) * (z * y)). K(x,(y \ 1) * (y * z)) = K(x,L(z,y,y \ 1)). K(x,((y \ 1) \ 1) * z) = K(x,y * z). K(x,y \ z) = K(x,((y \ 1) \ 1) \ z). K(x,((y \ 1) \ 1) \ z) = K(x,y \ z). K(x,(y \ 1) \ z) = K(x,(1 / y) \ z). K(x,(1 / y) \ z) = K(x,(y \ 1) \ z). K(x,(1 / y) * z) = K(x,(y \ 1) * z). K(x,y \ (K(z,z \ 1) * u)) = K(x,y \ u). K(x,K(y,1 / y) * z) = K(x,z). K(x,y * (z * K(u,1 / u))) = K(x,y * z). K(x,y \ (1 / z)) = K(x,y \ (z \ 1)). K(x,T(y * K(z,z \ 1),u)) = K(x,T(y,u)). K(x,y * ((z \ 1) \ u)) = K(x,y * ((1 / z) \ u)). K(x,y * ((1 / z) \ u)) = K(x,y * ((z \ 1) \ u)). K(x,(K(y,y \ 1) * z) \ u) = K(x,z \ u). K(x,((1 / y) * z) \ u) = K(x,((y \ 1) * z) \ u). K(x,y / (K(z,z \ 1) * u)) = K(x,y / u). K(x,y / (z * K(u,u \ 1))) = K(x,y / z). K(x,K(y,1 / y) / z) = K(x,1 / z). 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). x * (y * z) != (y * z) * T(y,z) | x = R(y,z,y). T(x * K(x * y,x),y) = R(x,y,x). T(x * K(y * R(x,z,u),x),y) = R(x,y,R(x,z,u)). T(x * K(y,x),z) = T((y * x) / y,z). T((x * y) / x,z) = T(y * K(x,y),z). T(R(x,y,x),z) = T(T(x * K(x * y,x),z),y). T(T(x * K(x * y,x),z),y) = T(R(x,y,x),z). T(x * K(y \ x,x),y \ 1) = R(x,y \ 1,x). x != ((y \ z) * T(z,y \ 1)) / (y \ z) | x = R(z,z \ (y \ z),z). T(x * K(y \ x,x),y \ 1) = R(x,x \ (y \ x),x). x != (y * z) / 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 | x \ T(u * K(z,u),w) = y. T(x,y) \ T(x * K(z,x),y) = K(z,T(x,y)). T(x * K(y,x),y) != z | z = x. 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. K(x,((y \ z) / z) \ 1) = K(x,y). K(x,(y / z) \ 1) = K(x,z / y). K(x,(y / z) \ 1) = K(x,z / y) * 1. 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 * (z \ 1)) = K(x,y / z). K(x,1 / y) = K(x,z / (y * z)). K(x,y / (z * y)) = K(x,1 / z). K(x * y,x \ 1) * ((x * y) \ y) = y / (x * y). x != K(y,z) | x = L(K(y,z),u,u \ 1). K(x,y * (z \ 1)) = L(K(x,y / z),u,u \ 1). L(K(x,y / z),u,u \ 1) = K(x,y * (z \ 1)). K(x,y * z) = K(x,y / (1 / z)). K(x,y / (1 / z)) = K(x,y * z). K(x,y * (z \ (u \ 1))) = K(x,y / (u * z)). K(x,y * (x \ 1)) != z | K(x,x \ y) = z. K(x,y / (z * y)) != u | K(x,z \ 1) = u. K(x,y / ((1 / z) * u)) = K(x,y * (u \ z)). K(x,y / ((1 / (1 / z)) \ u)) = K(x,y * ((u \ 1) * z)). T(T(x,y),z) != u | T(T(x,z),y) = u. T(T(x,y),x * z) != u | T(T(x,y),z * x) = u. T(T(x,y),z * x) != u | T(T(x,x * z),y) = u. x * (y * K(z,y)) != u | u / ((z * y) / z) = x. K(x,y * x) = K(x,x * y). K(x,y) = K(x,x * (y / x)). K(x,x * (y / x)) = K(x,y). K(x * (y * z),a(x,y,z) * (x * (y * z))) = K(x * (y * z),(x * y) * z). 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,(1 / x) * (y * x)) = K(x,L(y,x,x \ 1)). L(x * K(y,x),z,u) * T(y,x) = T(y,x) * L(x,z,u). (x / y) \ z = K(y \ x,y) * ((y \ x) \ z). K(x \ y,x) * ((x \ y) \ z) = (y / x) \ z. (x * K(y,x)) \ z = K(x,y) * (x \ z). (((x * y) / x) \ z) \ 1 = (y \ z) \ K(x,y). x != T(y,z) * T(T(z,u),y) | x = T(z,u) * T(y,z). K(x,y) * (T(y,z) * x) = T(y,z) * T(x,y). x * y != K(z,u) * (u \ w) | x \ (T(u,z) \ w) = y. x \ (T(y,x) \ z) = K(x,y) * (x \ (y \ z)). K(x,y) * (x \ (y \ z)) = x \ (T(y,x) \ z). x != y * K(z,u) | x = (K(u,z) / y) \ 1. K(x,y) * T(x,z) = (K(z,x) / T(x,y)) \ 1. (K(x,y) / T(y,z)) \ 1 = K(y,z) * T(y,x). x != T(y,z) * K(y,u) | x = K(y,u) * T(y,z). K(x,y) * T(x,z) = K(x,z) * T(x,y). K(x,y) * T(x,z) != K(x,z) * u | T(x,y) = u. K(x,y) * T(x,z) != u | K(x,z) * T(x,y) = u. T(x * K(y,z),K(z,y)) != u | K(y,z) * x = u. (x \ (x / (y \ 1))) * T(x,y) = x / (y \ 1). x * ((y * (x / y)) \ y) = x / (x / y). x * (y \ K(x,x \ y)) = (x \ y) \ 1. (((x \ (y / z)) * x) * z) \ y = K(x,(x * z) \ y). (x * (y * T(y \ (x \ z),u))) \ z = K(u,(x * y) \ z). ((x * T(x \ y,z)) * u) \ (y * u) = K(z,(x * u) \ (y * u)). T(x * T(x \ y,z),u) \ T(y,u) = K(z,T(x,u) \ T(y,u)). x * (K(y,x) * T(z,x)) = K(y,x) * (z * x). x != K(y,z) * K(z,u) | x = K(z,u) * K(y,z). T(x,y) \ T(x,z) = K(x,z) * K(y,x). R(K(x,y),y * z,u) * ((y * z) * u) = (y * (K(x,y) * z)) * u. x * (K(y,x) * (x \ z)) != u | K(y,x) * z = u. K(x,y / (z \ 1)) * (z \ T(z * y,x)) = y. K(x,(y \ z) / (y \ 1)) * (y \ T(z,x)) = y \ z. K(x,(y * z) / (y * (u \ z))) * ((y * (u \ z)) * T(L(T(u,u \ z),u \ z,y),x)) = y * z. x / (K(y,x * K(z,x)) * K(x * K(z,x),z)) = T(x * K(z,x),y). x \ (y \ ((z \ (y * x)) * z)) = K((y \ z) \ x,z). x \ (((y \ (x * z)) * y) / z) = K((y / z) \ x,y). x \ T(y,z) = (x \ y) * K((x \ 1) \ (x \ y),z). (x \ y) * K((x \ 1) \ (x \ y),z) = x \ T(y,z). x \ T(x * y,z) = y * K((x \ 1) \ y,z). x * T(x \ 1,y) = K(z \ (z / x),y). K(x \ (x / y),z) = y * T(y \ 1,z). x != y * T(y \ z,u) | x = K(z / y,u) * z. x * K(y \ x,z) = K(x / y,z) * x. K(x / y,z) * x = x * K(y \ x,z). x * y != z * T(z \ x,u) | T(K(x / z,u),x) = y. T(K(x / y,z),x) = K(y \ x,z). x * y != z * T(z \ x,x) | y = K(x / z,x). K(x \ y,y) = K(y / x,y). K(x / y,x) = K(y \ x,x). 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 * K(y \ x,z)) * (y \ 1) = T(x * (y \ 1),z). T(x,y) * T(T(x,y) \ y,z) = T(y * K(x \ y,z),y). K(x,y) = K((x \ y) \ y,y). K((x \ y) \ y,y) = K(x,y). T(K(x,y),z) = K((x \ z) \ z,y). K((x \ y) \ y,z) = T(K(x,z),y). 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). R(x,y,K(y,z)) = x. L(K(x,y),x,z) = K(x,y). x != K(y,z) | x = K(z,y) \ 1. L(K(x,y),x,z) = K(y,x) \ 1. L(K(x,y),x,z) != u | K(x,y) = u. (x * T(y,L(z,y,x))) \ (x * (y * z)) = T(L(z,y,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 * K(y,z)) / y != u | u = (x / y) * K(y,z). (x * K(y,z)) / y != u | (x / y) * K(y,z) = u. K(x \ 1,x) * K(y,y \ x) = (x \ 1) * (y * (x / y)). x * (y * K(x * y,x)) = T(x * y,x). K(x,y) * (y * z) = ((x * y) / x) * z. K(x \ y,x) * ((y / x) * z) = (x \ y) * z. x / (((y \ (x / z)) * y) * z) = K(y,x / (y * z)). x / (((y \ (x * z)) * y) / z) = K(y,x / (y / z)). K(x * R(1 / y,z,u),w) = K(x * R(y \ 1,z,u),w). K(x * T((y * z) \ z,y),u) = K(x * ((y * z) \ z),u). K(((x * K(y,z)) \ 1) * u,w) = K((K(z,y) / x) * u,w). K(x \ ((y \ 1) * y),z) = K(x \ 1,z). x != K(y,z / (1 / u)) | x = K(y,z * u). K(x,y / z) = K(x,y * (1 / z)). K(x,y * (1 / z)) = K(x,y / z). x != K(y,z / y) | x = K(y,y \ z). K(x,y * (1 / x)) = K(x,x \ y). K(x,y * z) = K(x,y / (z \ 1)). K(x,y / (z \ 1)) = K(x,y * z). T(x,y * (1 / z)) = x * K(x,y / z). K(x,y * (K(z,u) / w)) = K(x,y / (w * K(u,z))). K(x,y / (z * K(u,w))) = K(x,y * (K(w,u) / z)). K(x \ 1,y * x) = K(x \ 1,(x \ 1) \ y). K(x \ 1,(x \ 1) \ y) = K(x \ 1,y * x). x != K(y,z / u) | x = K(y,(u / z) \ 1). K(x,y * z) = K(x,((z \ 1) / y) \ 1). K(x,((y \ 1) / z) \ 1) = K(x,z * y). x != K(y,y / z) | x = K(y,z \ y). K(x,x * y) = K(x,(y \ 1) \ x). K(x,(y \ 1) \ x) = K(x,x * y). K(x,(1 / y) \ z) = K(x,y * z). x != K(y,y * z) | x = K(y,z * y). K(x,(y \ 1) \ x) = K(x,y * x). K(x,(R(y,z,u) \ y) \ x) = K(x,x * (y \ R(y,z,u))). K(x,y \ z) = K(x,(y \ 1) * z). K(x,(y \ 1) * z) = K(x,y \ z). K(x,((1 / y) * z) \ u) = K(x,(z \ y) * u). K(x,(y \ (z \ 1)) * u) = K(x,(z * y) \ u). K(x,(y \ K(z,u)) * w) = K(x,(K(u,z) * y) \ w). K(x,(K(y,z) * u) \ w) = K(x,(u \ K(z,y)) * w). x != K(y \ (z \ 1),u) | x = K(y \ (1 / z),u). K(x \ (y \ 1),z * T(u,u \ 1)) = K(x \ (1 / y),z * u). x != K(y,(z \ 1) * u) | x = K(y,z \ u). K(x,y * z) = K(x,(y \ 1) \ z). K(x,(y \ 1) \ z) = K(x,y * z). x != K(y,z) | x = (u \ 1) \ (u \ K(y,z)). K(x,(y \ 1) \ z) = (u \ 1) \ (u \ K(x,y * z)). (x \ 1) \ (x \ K(y,z * u)) = K(y,(z \ 1) \ u). x * y != K(z,(u \ 1) \ w) | x \ K(z,u * w) = y. (1 / x) \ K(y,z * u) = x * K(y,(z \ 1) \ u). K(x,y \ z) = K(x,(1 / y) * z). K(x,(1 / y) * z) = K(x,y \ z). K(x,(y * (z \ 1)) \ u) = K(x,(z / y) * u). K(x,((y \ 1) * ((z \ 1) \ u)) \ w) = K(x,((z / (1 / u)) \ y) * w). K(x,(y * K(z,u)) \ w) = K(x,(K(u,z) / y) * w). K(x,1 / (y \ z)) = K(x,z \ y). x \ K(((1 / y) * z) \ 1,y \ z) = (x \ (((1 / y) * z) \ 1)) * ((1 / y) * z). (x \ (((1 / y) * z) \ 1)) * ((1 / y) * z) = x \ K(((1 / y) * z) \ 1,y \ z). K(x,(1 / x) * y) * y = x * (y / x). K(x,(y \ z) \ 1) = K(x,z \ y). K(x,1 / L(y,z,u)) = K(x,(u * (z * y)) \ (u * z)). K(x,(y * (z * u)) \ (y * z)) = K(x,1 / L(u,z,y)). K(x,(y \ z) \ 1) = K(z \ y,x) \ 1. 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,a(y,z,u) \ 1) = K(x,((y * z) * u) \ (y * (z * u))). K(x,((y * z) * u) \ (y * (z * u))) = K(x,a(y,z,u) \ 1). K(x,L(y \ z,y,u) \ 1) = K(x,(u * z) \ (u * y)). K(x,(T(y,z) * (y \ u)) \ 1) = K(x,(T(y,z) * u) \ y). K(x,(K(y,z) * u) \ 1) = K(x,u \ K(z,y)). x != K(y,z) | x = L(K(y,z),y,u). K(x,(y * z) \ y) = L(K(x,z \ 1),x,u). L(K(x,y \ 1),x,z) = K(x,(u * y) \ u). x * K(x * y,y \ 1) = (x * y) * (x / (x * y)). (x * y) * (x / (x * y)) = x * K(x * y,y \ 1). K(x,R(y \ 1,y,z) \ u) = K(x,(z / (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). K(x,(y / z) \ 1) != u | u = K(x,z / y). K(x,(y / z) \ 1) != u | K(x,z / y) = u. x / (K(y,z) * (y \ x)) = y * K(z,y). ((x * K(y,x)) \ z) \ 1 = (x \ z) \ K(y,x). K(x,y) * (K(y,z) * T(y,x)) = T(y,z). (K(x,y) * T(x,z)) \ 1 = T(x,y) \ K(z,x). T(x / (x / y),z) \ y = K(x / (x / y),y \ x) * K(z,x / (x / y)). K(x / (x / y),y \ x) * K(z,x / (x / y)) = T(x / (x / y),z) \ y. x != y * T(y \ 1,z) | x = T(z,y \ 1) \ z. K(x \ (x / y),z) = T(z,y \ 1) \ z. x != y * T(y \ 1,z) | x = K(y \ 1,z). K(x \ (x / y),z) = K(y \ 1,z). K((x * y) \ x,z) = K(y \ 1,z). K(x \ y,z) = K((y \ x) \ 1,z). K((x \ y) \ 1,z) = K(y \ x,z). K((x * y) \ y,z) = K(T(x,y) \ 1,z). K(T(x,y) \ 1,z) = K((x * y) \ y,z). K((x * y) \ (x * z),u) = K(L(z \ y,z,x) \ 1,u). K(L(x \ y,x,z) \ 1,u) = K((z * y) \ (z * x),u). K(L(x \ 1,x,y),z) = K(x \ 1,z). K((x \ y) / y,z) = K(x \ 1,z). K(1 / (x \ y),z) = K(y \ x,z). x != K(y \ z,u) | x = T(K(z / y,u),z). K((x \ y) \ 1,z) = T(K(x / y,z),x). T(K(x / y,z),x) = K((x \ y) \ 1,z). x != K(y,(z \ u) \ 1) | x = K(y,u \ z). K((x \ y) \ 1,(z \ u) \ 1) = K(y \ x,u \ z). K(((x * y) \ x) \ 1,z) = K(y,z). T(x,(y \ z) \ 1) = K(z \ y,x) \ x. x != K(y / z,z) | x = K(z \ y,z). K(x \ 1,y) = K(y \ (x \ y),y). K(x \ (y \ x),x) = K(y \ 1,x). K(x / (y * x),z) = K(y \ 1,z). K(x / y,z) = K((y / x) \ 1,z). K((x / y) \ 1,z) = K(y / x,z). (x * K(y \ 1,x)) \ (y \ x) = (y \ x) / x. K((1 / x) * y,z) = K(x \ y,z). K(((x * y) \ x) \ 1,z) = L(K(y,z),y,u). L(K(x,y),x,z) = K(((u * x) \ u) \ 1,y). (1 / ((x * y) \ x)) * K(y,z) = T(1 / ((x * y) \ x),z). K(x \ y,x) = K((x / y) \ 1,x). K((x / y) \ 1,x) = K(x \ y,x). x != K(y \ 1,z) | x = K(1 / y,z). K(x / (y * x),z) = K(1 / y,z). K(x / (y * x),z) != u | K(1 / y,z) = u. K(1 / (x / y),z) = K(y / x,z). K(x * (y \ 1),z) = K(x / y,z). x != K((1 / (1 / y)) * z,u) | x = K(y * z,u). K((1 / x) \ y,z) = K(x * y,z). x != K((1 / y) * z,u) | x = K((y \ 1) * z,u). K(x \ y,z) = K((x \ 1) * y,z). K((x \ 1) * y,z) = K(x \ y,z). K(x * y,z) = K((x \ 1) \ y,z). K((x \ 1) \ y,z) = K(x * y,z). K((x / y) * z,u) = K((y * (x \ 1)) \ z,u). K((x * (y \ 1)) \ z,u) = K((y / x) * z,u). K(x * (y \ 1),y) = K(y \ x,y). K(x / (y * x),z) != u | K(y \ 1,z) = u. K(x / y,z) != u | K((y / x) \ 1,z) = u. x != K(y * (z \ 1),u) | x = K(y * (1 / z),u). K(x / y,z) = K(x * (1 / y),z). K(x * (1 / y),z) = K(x / y,z). x != K(y * (z \ 1),z / y) | x = (y * (z \ 1)) * (z / y). K(x / y,y / x) = (x * (y \ 1)) * (y / x). (x * (y \ 1)) * (y / x) = K(x / y,y / x). K(x * y,z) = K(x / (1 / y),z). K(x / (1 / y),z) = K(x * y,z). K(x * (y \ (z \ 1)),u) = K(x / (z * y),u). K(x * (y \ K(z,u)),w) = K(x / (K(u,z) * y),w). K(x / (K(y,z) * u),w) = K(x * (u \ K(z,y)),w). x != K((1 / y) \ z,z) | x = K(z * y,z). K(x * y,y) = K(y * x,y). T(x * K(x * y,x),y * x) = x. x != K(y * z,y) | x = K(z * y,y). K(x \ y,x \ 1) = K(y * (x \ 1),x \ 1). K(x * (y \ 1),y \ 1) = K(y \ x,y \ 1). T((x \ 1) \ y,z) = ((x \ 1) \ y) * K(x * y,z). ((x \ 1) \ y) * K(x * y,z) = T((x \ 1) \ y,z). K(x \ y,x) = K(y * (1 / x),x). K(x * (1 / y),y) = K(y \ x,y). x != K((y \ 1) * z,u) | x = K(y \ z,u). K(x \ (y \ 1),x) = K(y \ (x \ 1),x). K(x \ (y \ 1),y) = K(y \ (x \ 1),y). x != K(y * ((z \ 1) \ 1),u) | x = K(y * z,u). K((x \ 1) \ y,x \ 1) = K(y * x,x \ 1). x * K(x * y,1 / y) = ((1 / y) \ x) * (1 / y). ((1 / x) \ y) * (1 / x) = y * K(y * x,1 / x). x != K(y \ z,u) | x = K((1 / y) * z,u). K(x * (1 / y),y) = K((1 / y) * x,y). K((1 / x) * y,x) = K(y * (1 / x),x). K(L(x \ 1,x,y),z) = K(1 / x,z). x != K(L(y \ 1,z,u),w) | x = K(L(1 / y,z,u),w). K(1 / x,y) = K(L(1 / x,x,z),y). K(L(1 / x,x,y),z) = K(1 / x,z). K(L(x,x \ 1,y),z) = K(1 / (x \ 1),z). x * L(y,z,u) != L(y,z,u) * K(w,y) | x = K(w,y). K(L(x,y,z) / u,x) = K(u \ L(x,y,z),x). K(x,y) * z = ((x * y) / x) * (y \ z). ((x * y) / x) * (y \ z) = K(x,y) * z. x != K(y,z) * (z * u) | x = z * (K(y,z) * u). ((x * y) / x) * z = y * (K(x,y) * z). K(x,x \ y) * ((x \ y) * z) = (y / x) * z. K(x,y) * (y * z) = (K(x,y) * y) * z. (K(x,y) * y) * z = K(x,y) * (y * z). x != y * K(y,z) | x = T(y,z). T(x,y * (1 / z)) = T(x,y / z). x != T(y,z * (1 / (1 / u))) | x = T(y,z * u). T(x,y / (1 / z)) = T(x,y * z). K(x,(y \ z) \ 1) != u | K(x,z \ y) = u. (x * K(y,x)) \ z != u | u = K(x,y) * (x \ z). (x * K(y,x)) \ z != u | K(x,y) * (x \ z) = u. K(x \ (x / y),z) != u | K(y \ 1,z) = u. x != K(y,z) \ z | x = T(z,y). T(x,(y \ z) \ 1) = T(x,z \ y). T(x,(y \ z) \ 1) != u | T(x,z \ y) = u. x != T(y,z \ 1) | x = T(y,1 / z). T(x,y \ z) = T(x,1 / (z \ y)). T(x,1 / (y \ z)) = T(x,z \ y). T(x,y \ 1) = T(x,(z * y) \ z). T(x,(y * z) \ y) = T(x,z \ 1). T(x,((y * z) \ y) \ 1) = T(x,z). T(x \ y,y \ x) != z | ((x \ y) \ 1) \ 1 = z. 1 / (x * T(y \ z,z \ y)) = (y \ z) \ (1 / x). T(x,x \ y) / (y \ x) = x * (y / x). T(x,1 / y) = T(x,z \ (z / y)). T(x,y \ (y / z)) = T(x,1 / z). T(x,L(y,y \ 1,z)) = T(x,(1 / y) \ 1). x * y != T(z,((u * w) \ u) \ 1) | x \ T(z,w) = y. ((x * y) \ x) \ T(((x * y) \ x) * z,y) = ((((x * y) \ x) \ 1) \ z) * (((x * y) \ x) \ 1). (1 / ((x * y) \ x)) * T(z,y) = z * (1 / ((x * y) \ x)). T(x,(x / y) / x) = T(x,1 / y). K(x \ 1,y) = K(y \ ((y \ x) \ 1),y). K(x \ ((x \ y) \ 1),x) = K(y \ 1,x). x != K(y * (1 / (1 / z)),u) | x = K(y * z,u). K((1 / (1 / x)) * y,1 / x) = K(y * x,1 / x). (x / (x / y)) * (y \ z) = K(y \ x,y) * z. x != (y / z) * K(y,z) | x = T(y,z) / z. x * (K(y,x) * K(y * x,y)) = T(y * x,y) / y. x != (y / z) * K(u,z) | x = y / T(z,u). x * (K(y,x) * K(z,y)) = (y * x) / T(y,z). (x / y) * z = (y \ x) * (K(y,y \ x) * z). (x \ y) * (K(x,x \ y) * z) = (y / x) * z. (x * (K(y * z,x) * y)) * z = (y * z) * R(x,y,z). (x / (x / y)) * z = y * (K(y \ x,y) * z). (x * K(y,x)) * z = x * (K(y,x) * z). R(K(x,y),y,z) = K(x,y). T(x,x \ (y * x)) / ((y * x) \ x) = x * y. T(x,y / x) / (y \ x) = x * (y / x). T(x,x \ ((x \ y) \ 1)) = 1 / (x \ K(y \ 1,x)). R(x,K(y,x),z) = x. x \ ((x * K(y,x)) * z) != u | u = K(y,x) * z. x \ ((x * K(y,x)) * z) != u | 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). K(x / y,z) \ y != u | T(x / y,z) \ x = u. x != (y * z) \ ((y * z) / y) | x = L(y \ 1,T(y,z),z). L(x \ 1,x,y) = L(x \ 1,T(x,y),y). L(x \ 1,T(x,y),y) = L(x \ 1,x,y). T(x * L(x \ 1,x,y),y) = T(x,y) * ((x * y) \ y). K(x,y \ 1) != z | K(x,1 / y) = z. x \ R(x,y,x) != z | K(x,y) * K(x * y,x) = z. T(x,y) * (T(x,z) \ u) != w | K(x,y) * (K(z,x) * u) = w. K(x,y) * z != u | T(x,y) * (x \ z) = u. K(x,y) * (z * x) != u | T(x,y) * T(z,x) = u. T(x \ y,z) * ((y \ x) * K(z,x \ y)) != u | (x \ y) * (y \ x) = u. T(x,y) * z != u | x * (K(x,y) * z) = u. (x * (y \ 1)) * K(z,u) != w | (y / x) \ K(z,u) = w. ((x * y) * z) * K(y * z,u) != w | R(x,y,z) * T(y * z,u) = w. (x * y) * K(y * x,z) != u | K(x,y) * T(y * x,z) = u. ((x * y) / x) * K(y,z) != u | K(x,y) * T(y,z) = u. (x / T(y,z)) * T(y,u) != w | (x * K(z,y)) * K(y,u) = w. x * K(y,T(z,x)) != u | (z * x) / T(T(z,x),y) = u. x * (K(y,x) * K(z,y)) != u | (y * x) / T(y,z) = u. x != T(y,z) \ T(y,u) | x = K(z,y) * K(y,u). x \ R(x,y,x) = K(x * y,x) * K(x,y). K(x * y,x) * K(x,y) = x \ R(x,y,x). K(x,y) * K(y,y * x) = y \ L(y,x,y). x \ R(x,y,x) != z | K(x * y,x) * K(x,y) = z. K(x,y) * K(y * x,x) = x \ R(x,y,x). K(x,(y * z) \ y) != u | u = K(x,z \ 1). K(x,(y * z) \ y) != u | K(x,z \ 1) = u. K(x,y * (z \ 1)) != u | K(x,y / z) = u. K(((x * y) \ x) \ 1,z) != u | u = K(y,z). K(((x * y) \ x) \ 1,z) != u | K(y,z) = u. K((x \ y) / y,z) != u | K(x \ 1,z) = u. R(K(x / y,z),x / y,u) != w | K((y / x) \ 1,z) = w. K(L(x,x \ 1,y),z) = K(x,z). 1 / K(x,y) = K(y,L(x,x \ 1,z)). K(x,L(y,y \ 1,z)) = 1 / K(y,x). x != 1 / K(y,z) | x = K(z,y). K(x,L(y,y \ 1,z)) = K(x,y). K(x,L(1 / y,y,z)) = K(x,1 / y). K(x,L(y \ z,y,u) \ 1) != w | K(x,(u * z) \ (u * y)) = w. K(x,1 / (y \ z)) != u | K(x,z \ y) = u. K(x,(K(y,z) * u) \ 1) != w | K(x,u \ K(z,y)) = w. T(x,T(y,z) \ 1) != u | T(x,(y * z) \ z) = u. T(x,L(y,y \ 1,z)) = T(x,y). R(x,y,z) * K(x,u) != w | T(x,u) * (x \ R(x,y,z)) = w. K(x,y) * K(y,y \ x) = y \ R(y,y \ x,y). x \ R(x,x \ y,x) = K(y,x) * K(x,x \ y). K(x * y,y) * K(y,x) = y \ R(y,x,y). K(x,y) * K(y,x * y) = y \ L(y,x,y). K(x,y * K(x,z)) * K(y * T(x,z),x) = x \ R(x,y * K(x,z),x). K(x,L(y,z \ 1,z) \ z) != u | K(x,((z \ 1) * y) \ 1) = u. K((x \ y) \ 1,z) != u | K(y \ x,z) = u. K(x \ (x * y),z) != u | K(y,z) = u. K(x,(1 / y) * z) != u | K(x,y \ z) = u. K(T(x,y) \ 1,z) != u | K((x * y) \ y,z) = u. K(1 / (x \ y),z) != u | K(y \ x,z) = u. T(K(x / y,z),x) != u | K(y \ x,z) = u. K(x,(y \ 1) * z) != u | K(x,y \ z) = u. K((1 / x) * y,z) != u | K(x \ y,z) = u. K(x / y,y / x) != z | K(y \ x,x \ y) = z. K(x / y,x) != z | K(y \ x,x) = z. K(x,((y \ 1) \ 1) \ z) != u | K(x,y \ z) = u. K(x * y,z) != u | K((x \ 1) \ y,z) = u. K((x \ 1) * y,z) != u | K(x \ y,z) = u. K((1 / x) \ y,z) != u | K((x \ 1) \ y,z) = u. ((x / y) * (y * K(y \ x,y))) * (x / y) = x * (y \ x). T(T(x * K(x \ y,x),y),z) = L(T(x,z),x \ T(y,x),x). T(K(x,y \ 1),z) = K(x,T(y,z) \ 1). K(x,T(y,z) \ 1) = T(K(x,y \ 1),z). K(x,T(1 / y,z) \ 1) = T(K(x,y),z). x * K(y,T(z,x) \ 1) = K(y,z \ 1) * x. K(x,T(y \ 1,z) \ 1) = T(K(x,y),z). x * T(K(x,y \ 1),z) != u | T(x,T(y,z) \ 1) = u. K(x,1 / T(1 / y,z)) = T(K(x,y),z). K(x,1 / T(y,z)) = T(K(x,1 / y),z). K(x,R(T(K(x,y),z),u,w)) = 1. K(x,y * K(z,y \ 1)) = T(K(x,y),z). L(x * K(y,x),z,u) = L(x,z,u) * K(y,L(x,z,u)). L(x,y,z) * K(u,L(x,y,z)) = L(x * K(u,x),y,z). 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). T(1 / (K(x,y) / x),y) = 1 / (1 / x). x * (1 / (1 / y)) = (1 / (K(y,x) / y)) * x. (1 / (K(x,y) / x)) * y = y * (1 / (1 / x)). T(x,y * (1 / z)) != u | T(x,y * (z \ 1)) = u. x != K(y \ 1,y) * K(z,y) | x = (y \ 1) * (y * K(z,y)). (T(x,y) \ 1) * x = (x \ 1) * (x * K(y,x)). (x \ 1) * (x * K(y,x)) = (T(x,y) \ 1) * x. ((x \ (1 / y)) * x) * y = K(y \ (x \ 1),x). 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). x * y != (z * R(u,w,v5)) / z | x \ R(u * K(z,u),w,v5) = y. R(x,y,z) \ R(x * K(u,x),y,z) = K(u,R(x,y,z)). R(x * K(y,x),z,u) \ y = R(x,z,u) \ ((R(x,z,u) * y) / R(x,z,u)). K(R(x,y,z),u) = R(x * K(u,x),y,z) \ R(x,y,z). R(x * K(y,x),z,u) \ R(x,z,u) = K(R(x,z,u),y). x \ (((y \ (x / z)) * y) * z) = K((x \ (y * z)) \ 1,y). x \ (y * (z * T(z \ (y \ x),u))) = K((x \ (y * z)) \ 1,u). x \ (((y \ (x * z)) * y) / z) = K((x \ (y / z)) \ 1,y). T(x,y) \ T(z * T(z \ x,u),y) = K((T(x,y) \ T(z,y)) \ 1,u). x \ T(x * y,z) = y * K((y \ (x \ 1)) \ 1,z). x * (y * T(y \ (x \ z),u)) = z * K((z \ (x * y)) \ 1,u). x * K((x \ (y * z)) \ 1,u) = y * (z * T(z \ (y \ x),u)). 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 * K((x \ (y * z)) \ 1,y) = ((y \ (x / z)) * y) * z. ((x \ (y / z)) * x) * z = y * K((y \ (x * z)) \ 1,x). x * y != z * T(z \ u,w) | (u * K((u \ z) \ 1,w)) / y = x. (x * K((x \ y) \ 1,z)) / y = T(x / y,z). T(x,y) * T(T(x,y) \ y,z) = y * K((T(y,x) \ x) \ 1,z). x != (1 / y) * T((1 / y) \ z,u) | x = T(z * y,u) / y. K(((1 / x) / y) \ 1,z) * y = T(y * x,z) / x. T(x * y,z) / y = K(((1 / y) / x) \ 1,z) * x. K(((x \ 1) / (x \ y)) \ 1,z) * (x \ y) = x \ T(y,z). x * y != (z \ 1) * T((z \ 1) \ (z \ u),w) | x \ (z \ T(u,w)) = y. K(((x \ 1) / (x \ y)) \ 1,z) \ (x \ T(y,z)) = x \ y. K((x / (x * y)) \ 1,z) * (x * y) = x * T(y,z). K(T(x,y) \ 1,z) = T(K(x \ 1,z),y). K(T(1 / x,y) \ 1,z) = T(K(x,z),y). K(T(x \ 1,y) \ 1,z) = T(K(x,z),y). K(T(K(x,y) * z,u) \ 1,w) = T(K(z \ K(y,x),w),u). K(1 / T(x,y),z) = T(K(1 / x,z),y). x != K(T(y,z) \ 1,u) | x = K((y * z) \ z,u). T(K(x,y),z) = K(((x \ 1) * z) \ z,y). K(((x \ 1) * y) \ y,z) = T(K(x,z),y). 1 / T(K(x,y),z) = K(y,T(x \ 1,z) \ 1). K(x,T(y \ 1,z) \ 1) = 1 / T(K(y,x),z). x * K(1 / T(y,x),z) = K(1 / y,z) * x. (x \ K(x,y)) * T(x,x \ 1) = K(x,y). x != T(y,y \ 1) \ ((z \ 1) \ 1) | x = ((y \ z) \ 1) \ 1. T((x \ 1) \ (y \ 1),y) = ((y \ x) \ 1) \ 1. T(T(x,y),z) * K(y,x) = x * K(T(x,y),z). x * K(T(x,y),z) != u | T(T(x,y),z) * K(y,x) = u. (T(x * y,z) / y) / x = K(1 / ((1 / y) / x),z). K(1 / ((1 / x) / y),z) = (T(y * x,z) / x) / y. (x * K(y,x)) \ L(x,y,x) = K(x,x * y). x * y != z * ((u \ z) / z) | (u \ T(z,u \ 1)) / y = x. (x \ T(y,x \ 1)) / (x \ y) = K(y,x \ 1). (1 / (x * y)) * K(z,z \ 1) = (K(z,z \ 1) / y) / x. K(x \ y,x) * (x \ z) != u | u = ((x \ y) \ y) \ z. K(x \ y,x) * (x \ z) != u | ((x \ y) \ y) \ z = u. x * T(y,z) != T(T(y,u),z) | x = K(T(y,z),u). K(x,y) = K(T(x,T(y,z)),y). K(T(x,T(y,z)),y) = K(x,y). K(T(x,y) \ z,x) = K(z / T(x,y),x). K(x / T(y,z),y) = K(T(y,z) \ x,y). x != y * (z / y) | x = T(y,z / y) / (z \ y). (x / y) * K(x,1 / y) = T(x,(x / y) / x) / ((x / y) \ x). T(x,(x / y) / x) / ((x / y) \ x) = (x / y) * K(x,1 / y). ((x * y) \ 1) \ 1 = ((y * x) \ 1) \ K(x,y). ((x * y) \ 1) \ K(y,x) = ((y * x) \ 1) \ 1. K(x,((y \ 1) \ K(z,u)) * w) = K(x,(y * K(z,u)) * w). (x \ (y \ K(z,u))) * K(w,v5) = ((K(u,z) * y) * x) \ K(w,v5). ((K(x,y) * z) * u) \ K(w,v5) = (u \ (z \ K(y,x))) * K(w,v5). (K(x,y) * K(y,z)) * T(y,x) = T(y,z). (x / (y \ z)) * K(y \ z,y) = x / (z / y). x * y != z \ K(u,z) | (T(z,u) \ 1) / y = x. (T((1 / x) * y,z) \ 1) / K(z,(1 / x) * y) = y \ x. x != K(y,z) \ (u * T(y,z)) | x = y * T(u,T(y,z)). T(x * y,K(y,z)) = y * T(x,T(y,z)). x * y != z * T(u,T(z,w)) | T(u * z,K(z,w)) / y = x. T(x * y,K(y,z)) / y = T((y * x) / y,T(y,z)). x * K(y \ z,y) != (T(y,z) \ z) * y | x = T(z,y). (T(x,y) \ y) * ((x \ y) \ y) = T(y,x). x * y != z * K(y \ u,y) | x * ((y \ u) \ u) = z. x * K(y \ z,y) != u * y | u * ((y \ z) \ z) = x. K(x \ (y * ((z \ 1) \ 1)),u) = K(x \ (y * z),u). K(x \ (y * (((y \ z) \ 1) \ 1)),u) = K(x \ z,u). K((((x \ 1) \ 1) \ y) \ z,u) = K((x \ y) \ z,u). K(x \ R(1 / y,z,u),w) = K(x \ R(y \ 1,z,u),w). K(((1 / x) / y) \ z,u) = K(((x \ 1) / y) \ z,u). K((((1 / x) \ y) \ z) \ u,w) = K((((x \ 1) \ y) \ z) \ u,w). 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 / (1 / (1 / z))) * u) = K(x,(y / z) * u). K(x,T((1 / y) * z,u)) = K(x,T((y \ 1) * z,u)). K(x,(y * (1 / z)) \ u) = K(x,(y * (z \ 1)) \ u). K(x,(y * (z / (u \ 1))) \ w) = K(x,(y * (z / (1 / u))) \ w). K(x,(y * (z / (1 / u))) \ w) = K(x,(y * (z / (u \ 1))) \ w). K(x,y / T(1 / z,u)) = K(x,y / T(z \ 1,u)). T(x,y) \ T(x * K(z,x),y) != u | u = K(z,T(x,y)). T(x,y) \ T(x * K(z,x),y) != u | K(z,T(x,y)) = u. T(T(x * K(y,x),z),y) != u | u = T(x,z). T(T(x * K(y,x),z),y) != u | T(x,z) = u. T(T(x / y,z),y) != u | T(y \ x,z) = u. T(R(x \ y,x,z),x * z) != u | T((x * z) \ (y * z),x) = u. T(x,y) \ T(z / (z / x),y) = K(x \ z,T(x,y)). T(x,y) \ T(x * K(x * z,x),y) = K(z * x,T(x,y)). T(x,y) \ T(z * T(z \ x,x),y) = K((x \ z) \ 1,T(x,y)). T(T(x * K(y,x),z),u) \ T(T(x,z),u) = K(T(T(x,z),u),y). K(x,(1 / y) \ (z / (1 / u))) = K(x,y * ((z \ 1) \ u)). K(x,x \ y) * ((y / x) \ z) = (x \ y) \ z. K(x \ y,x) * T(z,x \ y) = (y / x) \ (z * (x \ y)). (x \ y) \ 1 = (x \ T(y,x)) \ K(y,x). (x \ T(y,x)) \ K(y,x) = (x \ y) \ 1. (x \ T(y,x)) * ((x \ y) \ 1) = K(y,x). K(x,y) = (y \ T(x,y)) * ((y \ x) \ 1). K(x * y,x) = (x \ T(x * y,x)) * (y \ 1). (x \ T(x * y,x)) * (y \ 1) = K(x * y,x). K(x,y) * (T(x,z) * T(y,x)) = T(x,z) * y. x / (y \ 1) != (x \ (x / (y \ 1))) * z | T(x,y) = z. (x \ (x / (y \ 1))) * z != x / (y \ 1) | T(x,y) = z. T(x,y) / (z \ x) = z * K(((z \ x) \ 1) \ z,y). T(x * K((y \ 1) \ x,z),y) = y \ T(x * y,z). K(x,x \ y) \ ((y / x) * z) = (x \ y) * z. x != K(y,(z \ 1) \ u) | x = K(y,(1 / z) \ u). K(x \ 1,y * x) = K(x \ 1,(1 / x) \ y). K(x \ 1,(1 / x) \ y) = K(x \ 1,y * x). x != K(y,(z \ 1) \ u) | x = K(y,z * u). K(x \ 1,y * x) = K(x \ 1,x * y). x * T(x \ 1,y * x) = K(x \ 1,x * y). K(x,y \ (z \ 1)) = K(x,(z * y) \ 1). K(x,(y * z) \ 1) = K(x,z \ (y \ 1)). K(x,(y \ (z \ K(u,w))) * v5) = K(x,((K(w,u) * z) * y) \ v5). K(x,((K(y,z) * u) * w) \ v5) = K(x,(w \ (u \ K(z,y))) * v5). K(x,(T(y,z) * (y \ u)) \ 1) = K(x,u \ K(z,y)). K(x,(y \ z) \ K(u,y)) = K(x,z \ (y * K(u,y))). (x / y) \ ((y \ 1) \ (y \ x)) = ((y \ 1) \ (y \ x)) / (y \ x). ((x \ 1) \ (x \ y)) / (x \ y) = (y / x) \ ((x \ 1) \ (x \ y)). x != K(y / z,z / y) | x = K(z \ y,y \ z). (x * (y \ 1)) * (y / x) = K(y \ x,x \ y). x != K(y,((z * u) \ z) \ 1) | x = K(y,u). K((((x * y) \ x) \ 1) \ z,((x * y) \ x) \ 1) = K(z * ((x * y) \ x),y). x != K((y \ 1) \ z,u) | x = K(y * z,u). K(x * y,y \ 1) = K(y * x,y \ 1). K(x,y * K(y * z,y \ 1)) = T(K(x,y),z * y). K(x,x \ y) \ ((y / x) * z) != u | u = (x \ y) * z. K(x,x \ y) \ ((y / x) * z) != u | (x \ y) * z = u. (x / (x / y)) \ (K(y \ x,y) * z) = y \ z. (x \ y) \ ((y / x) * z) != u | u = K(x,x \ y) * z. (x \ y) \ ((y / x) * z) != u | K(x,x \ y) * z = u. (x \ y) * (T(x,x \ y) * z) = (y / x) * (x * z). x \ y = K(x \ z,x) * ((z / (z / x)) \ y). K(x \ y,x) * ((y / (y / x)) \ z) = x \ z. x * y != (z / u) * K(w,u) | x \ (z / T(u,w)) = y. x \ (y / T(y / x,z)) = K(x \ y,x) * K(z,y / x). K(x \ y,x) * K(z,y / x) = x \ (y / T(y / x,z)). T(x,T(y,x)) / ((y * x) \ x) = x * y. T(x,y) / ((y * x) \ x) = x * y. (x * y) * ((y * x) \ x) = T(x,y). T(x,y) = (x * y) * ((y * x) \ x). (x * y) \ T(x,y) = (y * x) \ x. x * y != (z * u) * ((u * z) \ z) | x \ T(z,u) = y. x \ T(y,y \ x) = ((y \ x) * y) \ y. ((x \ y) * x) \ x = y \ T(x,x \ y). a(1 / (x * y),x,y) \ T((1 / (x * y)) * x,y) = (y * ((1 / (x * y)) * x)) \ ((1 / (x * y)) * x). 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 != y * (z * K(u,z)) | x = y * ((u * z) / u). (T(x,y) \ 1) * x = (x \ 1) * ((y * x) / y). (x \ 1) * ((y * x) / y) = (T(x,y) \ 1) * x. x != K(y,T(z \ 1,u) \ 1) | x = T(K(y,z),u). 1 / T(K(x,y),z) = T(K(y,x),z). T(K(x,y),z) \ 1 = T(K(y,x),z). K(x,K(y,z)) = T(K(z,y),x) * K(y,z). T(K(x,y),z) * K(y,x) = K(z,K(y,x)). (x * T(K(y,z),u)) * 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). 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)). K(x,K(y,z)) * K(z,y) = T(K(z,y),x). x != T(K(y,z),u) * K(z,y) | x = K(K(y,z),u). K(x,K(y,z)) = K(K(z,y),x). K(K(x,y),z) = K(z,K(y,x)). K(x,K(y,z)) \ 1 = K(x,K(z,y)). T(K(x,y),z) = K(x,y) * K(z,K(y,x)). K(x,y) * K(z,K(y,x)) = T(K(x,y),z). T(x,K(y,z)) = x * K(K(z,y),x). x * K(K(y,z),x) = T(x,K(z,y)). K(x,K(y,z)) \ 1 != u | K(x,K(z,y)) = u. K(x,K(y,z)) * (K(z,y) * u) = T(K(z,y),x) * u. K(x,K(y,z)) != u | K(K(z,y),x) = u. x / K(y,z) = T(K(y,z) \ x,K(z,y)). T(K(x,y) \ z,K(y,x)) = z / K(x,y). T(T(x,K(y,z)),K(z,y)) = x. T(x,K(y,z)) * K(z,y) = K(z,y) * x. T(T(x,K(y,z)),K(z,y)) != u | u = x. T(T(x,K(y,z)),K(z,y) * x) = L(x,K(z,y),x). K(x,y) * z != u * K(x,y) | u = T(z,K(y,x)). K(x,y) * z != u * K(x,y) | T(z,K(y,x)) = u. T(K(x,y),K(z,y)) = K(x,y). T(K(x,y),K(x,z)) = K(x,y). T(K(x,y) * z,K(x,y)) = z * K(x,y). T(K(x,y) \ z,K(y,x)) = z * K(y,x). x * y != T(K(z,u),K(w,u)) | x \ K(z,u) = y. K(x,y) \ K(z,x) = K(z,x) * K(y,x). K(x,y) * K(x,z) = K(x,z) * K(x,y). K(x,y) * K(x,z) != u | K(x,z) * K(x,y) = u. T(x,K(y \ 1,y)) != z | z = x. T(K(x,y) * z,K(x,y)) != u | u = z * K(x,y). T(K(x,y) * z,K(x,y)) != u | z * K(x,y) = u. T(x,1) != y | y = x. T(x,y \ y) != z | z = x. (x \ y) * K(z,K(x,x \ y)) = (y / x) * T(K(x \ y,x),z). (x / y) * T(K(y \ x,y),z) = (y \ x) * K(z,K(y,y \ 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. (K(x,y) * z) * K(y,x) = T(z,K(y,x)). T(x,K(y,z)) = (K(y,z) \ x) * K(y,z). (K(x,y) \ z) * K(x,y) = T(z,K(x,y)). T(x \ y,K(x,z)) = (T(x,z) \ y) * K(x,z). (T(x,y) \ z) * K(x,y) = T(x \ z,K(x,y)). (K(x,y) * K(x,z)) \ 1 = K(y,x) * K(z,x). x * (T(x,y) \ K(z,x)) = K(z,x) * K(y,x). T(x,y) * (x \ K(x,z)) = K(x,z) * K(x,y). x * y != T(z,y) | x = z / T(y,z). K(x,y) \ z = z / T(K(x,y),z). x / T(K(y,z),x) = K(y,z) \ x. (K(x,y) \ z) \ z = T(K(x,y),z). (K(x,y) * z) \ z = T(K(y,x),z). (K(x,y) * z) * T(K(y,x),z) = z. K(K(x,y),z) != u | K(z,K(y,x)) = u. x * (((x \ y) \ 1) \ 1) = ((y \ 1) \ (x \ 1)) * x. ((x \ 1) \ (y \ 1)) * y = y * (((y \ x) \ 1) \ 1). ((x / y) \ T(x * K(y,z),(x / y) \ 1)) / T(y,z) = K(x * K(y,z),(x / y) \ 1). (x / (y / z)) * K(z,z \ y) = x / (z \ y). x * K(y \ z,y) = (x * (y \ z)) / (z / y). (x * (y \ z)) / (z / y) = x * K(y \ z,y). K(x,y * (((1 / (1 / z)) \ u) * w)) = K(x,y * ((z \ u) * w)). K(x \ y,x) * ((x \ y) \ z) != u | u = (y / x) \ z. K(x \ y,x) * ((x \ y) \ z) != u | (y / x) \ z = u. (x \ T(x * K(y,z),x)) * (K(z,y) * 1) = K(x * K(y,z),x). K(x,y) * (K(x,z) * (y * x)) = T(x,z) * y. K(1 / x,(1 / x) \ y) = K(x \ 1,y * x). x * y != K(x \ 1,z) | y = T(x \ 1,z). T(x \ 1,y * x) = T(x \ 1,x * y). x != T(y \ 1,y * z) | x = ((y \ 1) \ z) \ z. T(x \ 1,y * x) = ((x \ 1) \ y) \ y. T(x \ 1,y * x) * L(T(x \ 1,x * y) \ 1,z,u) = T((x \ 1) * L((x \ 1) \ 1,z,u),y * x). T(x \ 1,y * x) * L(T(x \ 1,x * y) \ 1,z,u) = T((x \ 1) * L((x \ 1) \ 1,z,u),x * y). T((x \ y) \ 1,y) = (((x \ y) \ 1) \ x) \ x. x != (1 / y) \ (K(z,u) * w) | x = y / (w \ K(u,z)). x \ y = (1 / x) / (y \ K(x,x \ 1)). (1 / x) / (y \ K(x,x \ 1)) = x \ y. (x \ y) \ (1 / x) = y \ K(x,x \ 1). x \ (1 / (y / x)) = y \ K(y / x,(y / x) \ 1). x \ K(x / y,(x / y) \ 1) = y \ (1 / (x / y)). ((x * y) \ z) \ (1 / (x * y)) = z \ K(x * y,y \ (x \ 1)). (x \ 1) \ (1 / ((1 / y) \ x)) = y \ K((1 / y) \ x,((1 / y) \ x) \ 1). x \ K((1 / x) \ y,((1 / x) \ y) \ 1) = (y \ 1) \ (1 / ((1 / x) \ y)). L(x,y,((z \ 1) \ 1) * (T(z,u) \ K(w,z))) = L(x,y,K(w,z) * K(u,z)). x != (y * (z \ u)) / (u / z) | x = (y / (u / z)) * (z \ u). x * K(y \ z,y) = (x / (z / y)) * (y \ z). (x / (y / z)) * (z \ y) = x * K(z \ y,z). x * K(y \ 1,x * y) = (1 / y) * (x / (1 / y)). (1 / x) * (y / (1 / x)) = y * K(x \ 1,y * x). x * y != K(z,u) * K(u,z) | 1 / y = x. 1 / (x \ y) = K(x,x \ y) / (y / x). K(x,x \ y) / (y / x) = 1 / (x \ y). x * (y \ z) = (x * (z / y)) * K(y \ z,y). (x * (y / z)) * K(z \ y,z) = x * (z \ y). (x * (y \ z)) * K(y,y \ z) = x * (z / y). x * K(y,z) != (u / w) * w | x = u * K(z,y). (x / (y \ z)) * (z / y) = x * K(y,y \ z). (x * (y \ z)) * T(y,y \ z) = (x * (z / y)) * y. 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). L(x,K(x,y),z) = x. L(T(x,y),K(x,z),u) = T(x,y). (x * K(y,z)) * L(y,u,w) = x * (K(y,z) * L(y,u,w)). L(T(x,y),z,u) = L(L(T(x,y),z,u),K(x,w),v5). L(L(T(x,y),z,u),K(x,w),v5) = L(T(x,y),z,u). (x * K(y,z)) * L(T(y,u),w,v5) != v6 | x * (K(y,z) * L(T(y,u),w,v5)) = v6. (x \ T(x * y,x)) \ (y * K(z,K(x * y,x))) = L(T(K(x * y,x),z) \ 1,K(x * y,x),y). ((x * K(y,x)) \ ((y * (x * y)) / y)) \ ((y * (x * y)) / y) = x. K(x,x \ (x * y)) = K(x,R(y,x,x \ 1)). K(x,R(y,x,x \ 1)) = K(x,x \ (x * y)). K(x,R(y,x,x \ 1)) = K(x,y). x \ T(x,R(y,x,x \ 1)) = K(x,y). K(x,y) = x \ T(x,R(y,x,x \ 1)). x != y \ T(y,R(z,y,y \ 1)) | x = R(z,y,y \ 1) \ ((y * z) * (y \ 1)). K(x,y) = R(y,x,x \ 1) \ ((x * y) * (x \ 1)). (x * (y * T(y \ z,u))) / (x * z) != w | K((x * z) / (x * y),u) = w. K((x / y) \ 1,z) != u | K(y / x,z) = u. x \ (y * K(x,z)) != u | T((y / x) * K(x,z),x) = u. T(x,T(1 / y,z) \ x) * K(T(y \ 1,z) \ 1,x) = L(x,T(1 / y,z) \ 1,x). T(x,(y \ z) \ x) * K(z \ y,x) = L(x,(y \ z) \ 1,x). T(T(x * K(x * y,x),z),y) = R(T(x,z),y,x). K(x,K(y,z * (u \ 1))) = K(x,K(y,z / u)). T(x,K(y,z * (u \ 1))) = T(x,K(y,z / u)). K(x,K(y,z * u)) = K(x,K(y,z / (u \ 1))). K(x,K(y,z / (u \ 1))) = K(x,K(y,z * u)). K(x,K(y,z * (1 / u))) = K(x,K(y,z / u)). K(x,L(y,x,x \ 1)) * (y * x) = x * ((y * x) / x). x \ (y \ ((z \ (y * x)) * z)) != u | K((y \ z) \ x,z) = u. R(x,T(y,z),T(z,y)) != u | R(x,y,z) = u. K((x / y) \ 1,x / y) != z | K(x \ y,y \ x) = z. K(x,R(y \ 1,z,u) \ w) != v5 | K(x,R(1 / y,z,u) \ w) = v5. T(x,K(y,z)) != u | (K(z,y) * x) * K(y,z) = u. R(x,y,y \ 1) * K(y,x) = (y * x) * (y \ 1). K(x,y) * ((y * x) * (y \ 1)) = R(x,y,y \ 1). x \ (y \ (1 / (y \ (1 / x)))) = K(x \ (y \ 1),x). x \ K(x * y,x \ 1) = y / (y / (x \ 1)). (x \ K(x * y,x \ 1)) \ y = y / (x \ 1). L(K(x,y \ 1),z,u) = K(x,L(y,z,u) \ 1). x != L(K(y,y \ 1),z,u) | x = K(y,y \ 1). K(x,L(x,y,z) \ 1) = K(x,x \ 1). L(K(x,y),z,u) = K(x,L(1 / y,z,u) \ 1). K(x,L(1 / y,z,u) \ 1) = L(K(x,y),z,u). L(K(x,y),z,u) = K(x,L(y \ 1,z,u) \ 1). K(x,L(y \ 1,z,u) \ 1) = L(K(x,y),z,u). L(K(x,K(y,z)),u,w) = K(x,L(K(z,y),u,w) \ 1). K(x,L(K(y,z),u,w) \ 1) = L(K(x,K(z,y)),u,w). L(K(x,y \ z),u,w) = K(x,L(z \ y,u,w) \ 1). K(x,L(y \ z,u,w) \ 1) = L(K(x,z \ y),u,w). K(x,1 / L(y,z,u)) = L(K(x,1 / y),z,u). L(K(x,1 / y),z,u) = K(x,1 / L(y,z,u)). x != K(y,z) | x = (u * K(z,y)) \ u. L(K(x,y),z,u) = (w * K(L(y \ 1,z,u) \ 1,x)) \ w. (x * K(L(y \ 1,z,u) \ 1,w)) \ x = L(K(w,y),z,u). L(K(x,y),z,u) \ w = K(L(y \ 1,z,u) \ 1,x) * w. K(L(x \ 1,y,z) \ 1,u) * w = L(K(u,x),y,z) \ w. L(L(K(x,y),z,u),w,v5) = K(x,L(L(y \ 1,z,u),w,v5) \ 1). K(x,L(L(y \ 1,z,u),w,v5) \ 1) = L(L(K(x,y),z,u),w,v5). x != T(y,z) / R(y,u,w) | x = R(y,u,w) \ T(y,z). (K(x,y) / R(x,z,u)) * x = R(x,z,u) \ T(x,y). ((x * y) \ T(y * x,z)) * (x * y) = T(y * x,z). x != y * (T(y,z) \ K(u,y)) | x = K(u,y) * K(z,y). T(x,y) \ ((z * x) / z) = K(z,x) * K(y,x). ((x * y) / x) \ (T(y,z) * ((K(x,y) * K(z,y)) * u)) = L(u,T(y,z) \ ((x * y) / x),T(y,z)). T((x / (y * K(z,y))) * y,(z * y) / z) != u | ((z * y) / z) \ (x * y) = u. (x * y) / (y * K(z,y)) = (x / (y * K(z,y))) * y. R(K(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). R(K(x,y),z,u) = K(R(1 / x,z,u) \ 1,y). K(R(1 / x,y,z) \ 1,u) = R(K(x,u),y,z). x != R(K(y,z),z,u) | x = K(y,z). K(R(x,y,z) \ 1,y) = K(x \ 1,y). K(R(x,y,z) \ 1,u) * (y * z) = (K(x \ 1,u) * y) * z. R(K((x / y) \ 1,z),y,u) = K(((x * u) / (y * u)) \ 1,z). R(K(x,y),z,u) = K(R(x \ 1,z,u) \ 1,y). K(R(x \ 1,y,z) \ 1,u) = R(K(x,u),y,z). K(((x * (y * z)) / z) \ 1,z / (y * z)) = K((x / R(1 / y,y,z)) \ 1,z / (y * z)). R(R(K(x,y),z,u),w,v5) = K(R(R(1 / x,z,u),w,v5) \ 1,y). K(R(R(1 / x,y,z),u,w) \ 1,v5) = R(R(K(x,v5),y,z),u,w). 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. 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). L(K(x,y),z,u) = K(L(1 / x,z,u) \ 1,y). K(L(1 / x,y,z) \ 1,u) = L(K(x,u),y,z). x != L(y,z,u) | x = (u * z) \ (u * (z * y)). K(L(x,y,z) \ 1,u) = (z * y) \ (z * (y * K(x \ 1,u))). (x * y) \ (x * (y * K(z \ 1,u))) = K(L(z,y,x) \ 1,u). (x * y) * K(L(z,y,x) \ 1,u) = x * (y * K(z \ 1,u)). L(K(x,y),z,u) = K(L(x \ 1,z,u) \ 1,y). K(L(x \ 1,y,z) \ 1,u) = L(K(x,u),y,z). L(K(K(x,y),z),u,w) = K(L(K(y,x),u,w) \ 1,z). K(L(K(x,y),z,u) \ 1,w) = L(K(K(y,x),w),z,u). L(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). 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). L(K(1 / x,y),z,u) = K(1 / L(x,z,u),y). K(1 / L(1 / x,y,z),u) = L(K(x,u),y,z). L(K(x,y),z,u) \ 1 = K(y,L(x \ 1,z,u) \ 1). K(x,L(y \ 1,z,u) \ 1) = L(K(y,x),z,u) \ 1. 1 / L(K(x,y),z,u) = K(y,1 / L(1 / x,z,u)). K(x,1 / L(1 / y,z,u)) = 1 / L(K(y,x),z,u). x != y * ((z \ u) * T((z \ u) \ (y \ u),w)) | x = (y * T(y \ z,w)) * (z \ u). K((x * (y \ 1)) \ 1,z) = (x * T(x \ y,z)) * (y \ 1). (x * T(x \ y,z)) * (y \ 1) = K((x * (y \ 1)) \ 1,z). x * ((y \ (x \ 1)) * y) = K((x * y) \ 1,y). x * (y \ T(y * (x \ 1),z)) = K((x * (y \ 1)) \ 1,z). K(x \ 1,x) * (x \ y) = y * T(y \ (x \ y),T(x,z)). K(x \ 1,y) * (x \ K(x,z)) = K(x,z) * T(x \ 1,y). x * (y \ T(y * (x \ (y \ 1)),z)) = K(x \ 1,z) * (y \ 1). x * (K(x \ 1,y) * (x \ z)) = K(x \ 1,y) * z. L(K(x \ 1,y),z,u) != w | K(L(x,z,u) \ 1,y) = w. R(x,y,z) * K(x,u) != T(x,u) * w | x \ R(x,y,z) = w. T(x,y) * z != R(x,u,w) * K(x,y) | x \ R(x,u,w) = z. K(((x \ 1) / (y / x)) \ 1,z) = (T(y,z) / x) / (y / x). x \ (R(1 / y,y,x) * ((z * (y * x)) / z)) = K(z,1 / (x \ R(1 / y,y,x))). ((x * y) \ y) * (x * y) = y * K(x \ 1,y * x). K(L(x,y,y \ 1) \ z,u) = K(((y \ 1) * (y * x)) \ z,u). K(((x \ 1) * (x * y)) \ z,u) = K(L(y,x,x \ 1) \ z,u). (x * (y * ((z * (y \ (x \ u))) / z))) / u = K(z,((x * y) / u) \ 1). T(x * ((y * (x \ z)) / y),z) / z = K(y,(T(x,z) / z) \ 1). x * K(y,z \ x) = z * ((y * (z \ x)) / y). 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). K(x,y * ((1 / z) \ K(z \ 1,u))) = K(x,y * (((u * (z \ 1)) / u) \ 1)). K(x,y * (((z * (u \ 1)) / z) \ 1)) = K(x,y * ((1 / u) \ K(u \ 1,z))). x != K(y,((1 / z) * u) \ w) | x = K(y,(u \ z) * w). K(x,((y \ 1) * z) \ u) = K(x,(z \ y) * u). x \ (y \ ((z \ (y * x)) * z)) = K((z / y) \ x,z). (x \ T(y,z)) * K(z,(x \ 1) \ (x \ y)) = x \ y. x != (y * K(z,y)) * u | x = y * (K(z,y) * u). T(x * (y \ 1),x) = x * (K(y \ x,x) * (y \ 1)). x * (K(y \ x,x) * (y \ 1)) = T(x * (y \ 1),x). x / (y * ((z \ (y \ x)) * z)) = K(z,x / (z * y)). x / (y * ((z \ (y \ x)) * z)) = K(z,x / (z / (y \ 1))). x != K(y,z / (u * K(w,w \ 1))) | x = K(y,z / u). K(x,y * (K(z \ 1,z) / u)) = K(x,y / u). K(x,y / ((1 / (1 / z)) \ u)) = K(x,y * (K(z \ 1,z) / (z \ u))). K(x,y * (K(z \ 1,z) / (z \ u))) = K(x,y / ((1 / (1 / z)) \ u)). K(x,(T(y,z) \ u) \ w) = K(x,((y \ u) \ K(y,z)) * w). K(x,((y \ z) \ K(y,u)) * w) = K(x,(T(y,u) \ z) \ w). K(x,(y \ 1) \ z) != u | K(x,y * z) = u. K(x,y / z) != u | K(x,y * (z \ 1)) = u. K(x,(1 / y) \ z) != u | K(x,y * z) = u. K(x,y / (z \ 1)) != u | K(x,y * z) = u. K(x,((1 / y) * z) \ u) != w | K(x,(z \ y) * u) = w. K(x \ 1,(x \ 1) \ y) != z | K(x \ 1,y * x) = z. K(x,(y \ 1) \ x) != z | K(x,x * y) = z. K(x,((y \ 1) / z) \ 1) != u | K(x,z * y) = u. K(x,y * x) != z | K(x,x * y) = z. K(x,(y \ K(z,u)) \ 1) != w | K(x,K(u,z) * y) = w. (1 / x) \ K(y,z) = x * K(y,(u \ 1) \ (u \ z)). x * K(y,(z \ 1) \ (z \ u)) = (1 / x) \ K(y,u). ((1 / (x \ y)) \ z) * (1 / (x \ y)) = z * K(z * (x \ y),y \ x). x != K((1 / (1 / y)) * (y \ z),u) | x = K(z,u). K((x \ y) * x,1 / x) = K(y,1 / x). x * (y \ R(y,x,y)) = T(y * x,y) / y. R(x,x \ 1,y \ R(y,x \ 1,y)) = (y \ R(y,x \ 1,y)) / (T(y * (x \ 1),y) / y). x != 1 / (y \ K(z,y)) | x = T(y,z). T(x,x \ ((x \ y) \ 1)) = T(x,y \ 1). T(x,x \ (y \ 1)) = T(x,(x * y) \ 1). T(x,(x * y) \ 1) = T(x,x \ (y \ 1)). T(x,x \ (((x \ 1) * ((y * (x \ 1)) \ z)) \ 1)) = T(x,L(x * (y \ z),x \ 1,y) \ 1). T(x,L(x * (y \ z),x \ 1,y) \ 1) = T(x,x \ (((x \ 1) * ((y * (x \ 1)) \ z)) \ 1)). T(x,y \ (x \ 1)) = T(x,x \ (y \ 1)). x != T(y,(z * u) \ z) | x = T(y,u \ 1). T(x,x \ (((x \ 1) * y) \ 1)) = T(x,y \ 1). x * (y * K((y \ (x \ 1)) \ 1,z)) = T(x * y,z). T(x,y) / z = K(((1 / z) / (x / z)) \ 1,y) * (x / z). K(((1 / x) / (y / x)) \ 1,z) * (y / x) = T(y,z) / x. K(x \ ((y \ z) \ 1),u) = K(x \ ((z \ 1) * y),u). T(x,y \ ((1 / z) * u)) = x * K(x,y \ ((z \ 1) * u)). x * K(x,y \ ((z \ 1) * u)) = T(x,y \ ((1 / z) * u)). K(x,y \ ((1 / z) * K(u,w))) = K(x,y \ (((1 / 1) * z) \ K(u,w))). K(x,y \ (((1 / 1) * z) \ K(u,w))) = K(x,y \ ((1 / z) * K(u,w))). K(x,(y / (1 / (K(z,u) / w))) * v5) = K(x,(y / (w * K(u,z))) * v5). K(x,T(K(y \ z,y),u)) = K(x,T((z \ 1) * ((y \ z) * y),u)). K(x,T((y \ 1) * ((z \ y) * z),u)) = K(x,T(K(z \ y,z),u)). x != K(y,(z * (u \ 1)) \ w) | x = K(y,(u / z) * w). K(x,(y * (1 / z)) \ u) = K(x,(z / y) * u). K(x,(y * (1 / (z * y))) \ u) = K(x,z * u). T(x,y) / ((1 / z) \ x) = (1 / z) * K((((1 / z) \ x) \ 1) \ (z \ 1),y). x != K(y,z * K(u,z \ 1)) | x = T(K(y,z),u). T(K(x,y),z * y) = T(K(x,y),y * z). T(K(x,y),z * y) * K(y,x) = K(K(x,y),y * z). K(x,y \ K(y,z)) * z = z * K(x,(z \ (z * y)) \ 1). 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). x * K(y,z \ x) = K(y,x / z) * x. K(x,y / z) * y = y * K(x,z \ y). T(K(x,y / z),y) = K(x,z \ y). T(K(x,y / z),y) != u | K(x,z \ y) = u. x != T(K(y,z),T(y,u)) | x = K(y,z). K(x,y \ T(x,z)) = K(x,T(x,z) / y). K(x,T(x,y) / z) = K(x,z \ T(x,y)). T(K(x,y),z) = K(x,(y \ z) \ z). K(x,(y \ z) \ z) = T(K(x,y),z). T(x,K(y,z \ x)) != u | T(x,K(y,x / z)) = u. K(x,T(y,y \ z)) = T(K(x,y),z). K(x,T(y,z)) = T(K(x,T(y,z)),y). T(K(x,T(y,z)),y) = K(x,T(y,z)). K(x,T(y,z / y)) = 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,(y \ 1) \ 1) != z | z = K(x,y). K(x,(y \ 1) \ 1) != z | K(x,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,T(y,y \ 1)) != z | z = K(x,y). K(x,T(y,y \ 1)) != z | K(x,y) = z. T(x,K(y,T(x,z))) = x. x * K(y,T(x,z)) = K(y,T(x,z)) * x. K(x,T(y,z)) * y = y * K(x,T(y,z)). K(x,T(y,z)) * T(y,u) = T(y,u) * K(x,T(y,z)). T(x,y) * K(z,T(x,u)) = K(z,T(x,u)) * T(x,y). (x * y) * K(z,T(x,y)) = K(z,x) * (x * y). K(x * y,T(x,y)) != z | K(x * y,x) = z. K(x,y) * K(y,T(x,z)) = K(x * z,K(x,y)). x * R(y,z,u) != R(y,z,u) * K(y,w) | x = K(y,w). K(x,R(x,y,z) / u) = K(x,u \ R(x,y,z)). x * y != K(z,u \ T(z,w)) | x \ K(z,T(z,w) / u) = y. (1 / x) \ K(x,T(x,y) / z) = T(x,z \ T(x,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. K(x,R(x,y,z) * (u \ 1)) = K(x,u \ R(x,y,z)). ((((x * y) * z) \ 1) \ ((x * (y * z)) \ 1)) * (x * (y * z)) = (x * (y * z)) * ((a(x,y,z) \ 1) \ 1). x \ K(y \ x,x \ y) = y \ (1 / (x / y)). (1 / (x \ y)) * (z / (1 / (x \ y))) = z * K(y \ x,z * (x \ y)). x != (y * (z / u)) * u | x = R(y,z / u,u) * z. (x * (y \ z)) * T(y,y \ z) = R(x,z / y,y) * z. x \ (y \ ((1 / (1 / x)) * y)) = K(x \ (y \ 1),x). K(x,((1 / y) * z) \ 1) = L(K(x,z \ y),y,y \ 1). L(K(x,y \ z),z,z \ 1) = K(x,((1 / z) * y) \ 1). R(x,K(y,z),z) = ((x * K(y,z)) / (z * K(y,z))) * z. ((x * K(y,z)) / (z * K(y,z))) * z = R(x,K(y,z),z). x != K(y,L(z \ 1,u,w) \ 1) | x = L(K(y,z),u,w). L(K(x,y),z,u) \ 1 = L(K(y,x),z,u). 1 / L(K(x,y),z,u) = L(K(y,x),z,u). 1 / L(K(x,y),z,u) != w | w = L(K(y,x),z,u). 1 / L(K(x,y),z,u) != w | L(K(y,x),z,u) = w. K(x,L(K(y,z),u,w)) = L(K(x,K(y,z)),u,w). L(K(x,K(y,z)),u,w) = K(x,L(K(y,z),u,w)). L(K(x,y),z,u) \ 1 != w | w = L(K(y,x),z,u). L(K(x,y),z,u) \ 1 != w | L(K(y,x),z,u) = w. T(x,L(K(y,z),u,w)) = x * L(K(x,K(y,z)),u,w). x * L(K(x,K(y,z)),u,w) = T(x,L(K(y,z),u,w)). (1 / x) * (K(x,y) * ((1 / x) \ z)) = K((1 / x) \ 1,y) * z. (x \ 1) * (K(x,y) * ((x \ 1) \ z)) = K((x \ 1) \ 1,y) * z. x != y \ (z \ ((u \ (z * y)) * u)) | x = K((z \ u) \ y,u). K((x / y) \ z,x) = K((y \ x) \ z,x). x != (y \ T(z,u)) * K(u,(y \ 1) \ (y \ z)) | x = y \ z. (1 / (x \ T(y,z))) \ K(z,y) = x \ y. x * K(y,T((z \ 1) \ u,w)) = (1 / x) \ K(y,T(z * u,w)). (1 / x) \ K(y,T(z * u,w)) = x * K(y,T((z \ 1) \ u,w)). (1 / x) \ K(y,z) = (T(z,y) / x) \ z. (T(x,y) / z) \ x = (1 / z) \ K(y,x). 1 / (x \ y) = K(y,z) / (x \ T(y,z)). K(x,y) / (z \ T(x,y)) = 1 / (z \ x). x != (1 / y) \ K(z,u) | x = y * K(z,u). (T(x,y) / z) \ x = z * K(y,x). x / (y * K(z,x)) = T(x,z) / y. (x * (y / x)) \ x = (y \ x) * K(y / x,x). (x \ y) * K(x / y,y) = (y * (x / y)) \ y. x / y = T(x,z) / (y * K(x,z)). T(x,y) / (z * K(x,y)) = x / z. x / (y / (z / x)) = T(x,z / x) / (y / (x \ z)). T(x,y / x) / (z / (x \ y)) = x / (z / (y / x)). (x / y) * (y * K(x,z)) = T(x,z). (x / y) \ T(x,z) = y * K(x,z). x * y != (z / u) * (u * K(z,w)) | x \ T(z,w) = y. x \ T(y,z) = (x \ y) * K(y,z). (x \ y) * K(y,z) = x \ T(y,z). (x * y) \ T(y * x,z) = K(y,x) * K(y * x,z). (x \ y) * K(y,y \ z) = x \ ((y \ z) \ z). x \ ((y \ z) \ z) = (x \ y) * K(y,y \ z). (x \ L(y,z,u)) * K(L(y,z,u),w) = x \ L(T(y,w),z,u). (1 / (x \ y)) \ K(y,z) != u | u = x \ T(y,z). (1 / (x \ y)) \ K(y,z) != u | x \ T(y,z) = u. (x \ ((y \ z) \ z)) * K(y \ z,y) = x \ y. (x \ y) * K(y,z) != u | x \ T(y,z) = u. K(x,y) * K(x * y,z) != u | (y * x) \ T(x * y,z) = u. 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)). T(x,y \ T(x,z)) != u | T(x,T(x,z) / y) = u. x \ T(1 / (1 / x),y) = K(x \ (y \ 1),x). x \ (x / (1 / (y / x))) = (x / (1 / (x \ y))) / x. (x / (1 / (x \ y))) / x = x \ (x / (1 / (y / x))). (K(x,y) * K(x * y,z)) * (y * x) = T(x * y,z). T((x / (1 / (x \ y))) / x,1 / (y / x)) = x \ (x / ((y / x) \ 1)). (x \ y) \ K(x,z) = R(y \ T(x,z),T(x,z) \ 1,x). R(x \ T(y,z),T(y,z) \ 1,y) = (y \ x) \ K(y,z). (K(x,y) \ z) \ (K(x,y) \ (z * u)) = L(u,z,K(y,x)). x != y \ (1 / z) | x = (y \ 1) / z. L(x \ (K(y,z) * (1 / u)),x,K(z,y)) = ((K(z,y) * x) \ 1) / u. L(K(x,y) * (K(z,u) * w),K(y,x),K(u,z)) = (K(u,z) * K(y,x)) \ w. x != L(y,K(z,u),L(z,w,v5)) | x = y. (L(x,y,z) * K(x,u)) \ w = K(u,x) * (L(x,y,z) \ w). T((1 / x) * K(y * R(1 / x,x,z),1 / x),y) = R(1 / x,y,z / (x * z)). x != T(y * K(z \ y,y),z \ 1) | x = R(y,z \ 1,y). R(x,x \ (y \ x),x) = R(x,y \ 1,x). K(x,L(L(y \ 1,y,z),z * y,u)) = K(x,1 / L(y,z,u)). x != K(y,L(z \ u,w,v5) \ 1) | x = L(K(y,u \ z),w,v5). K(x,(y * z) \ (y * u)) = L(K(x,z \ u),u,y). L(K(x,y \ z),z,u) = K(x,(u * y) \ (u * z)). K(x,y \ x) = K(x,(z * y) \ (z * x)). K(x,(y * z) \ (y * x)) = K(x,z \ x). L(K(x,(y \ z) \ u),u,y) = K(x,z \ (y * u)). L(K(x,y \ (z \ u)),z \ u,z) = K(x,(z * y) \ u). L(K(x,y),z,u) = K(x,(u * (z / y)) \ (u * z)). K(x,(y * (z / u)) \ (y * z)) = L(K(x,u),z,y). K(x,(y * z) \ (y * x)) != u | K(x,z \ x) = u. K(x,y \ (z * x)) = K(x,(z \ y) \ x). K(x,(y \ z) \ x) = K(x,z \ (y * x)). K(x \ y,(x * z) \ y) = K(x \ y,z \ (x \ y)). T(x,(y * z) \ (y * x)) = x * K(x,z \ x). K(x,y \ (K(z,u) * x)) = K(x,(K(u,z) * y) \ x). K(x,(K(y,z) * u) \ x) = K(x,u \ (K(z,y) * x)). K(x,T((y \ z) \ 1,z) \ x) = K(x,y \ ((((y \ z) \ 1) \ y) * 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)). L(T(K(x,(y \ z) \ u),w),u,y) = T(K(x,z \ (y * u)),w). (x * y) * K(z,u \ (x * y)) = x * (y * K(z,(x \ u) \ y)). K(x,(y * ((y \ z) / u)) \ z) = L(K(x,u),y \ z,y). K(x,L(y,z / y,u)) = L(K(x,y),z,u). x != L(K(y,z),u,w) | x = L(K(z,y),u,w) \ 1. K(x,L(y,z / y,u)) = L(K(y,x),z,u) \ 1. K(x,L(y,z,u)) = L(K(x,y),z * y,u). L(K(x,y),z * y,u) = K(x,L(y,z,u)). (x * y) * K(z,L(u,y / u,x)) = x * (y * K(z,u)). K(x \ y,y \ x) = K(x \ y,L(y \ x,z,u)). K(x \ y,L(y \ x,z,u)) = K(x \ y,y \ x). K(x \ 1,x) = K(x \ 1,L(x,y,z)). K(x \ 1,L(x,y,z)) = K(x \ 1,x). x != L(K(1 / y,y),z,u) | x = K(1 / y,y). K(1 / x,L(x,y,z)) = K(1 / x,x). x != K(y \ 1,y) | x = K(L(y,z,u) \ 1,y). K(x \ 1,L(x,y,z)) = K(L(x,u,w) \ 1,x). K(L(x,y,z) \ 1,x) = K(x \ 1,L(x,u,w)). L(K(x \ 1,L(x,y,z)),u,w) = K(L(x,u,w) \ 1,x). L(K(1 / x,x),y,z) = K(1 / L(x,y,z),L(x,u,w)). K(1 / L(x,y,z),L(x,u,w)) = L(K(1 / x,x),y,z). K(x,L(y,z / y,u)) != w | L(K(x,y),z,u) = w. K(x,L(y \ z,y,u)) != w | L(K(x,y \ z),z,u) = w. K(x,(y * (z / u)) \ (y * z)) != w | L(K(x,u),z,y) = w. x != K(L(y \ z,u,w) \ 1,v5) | x = L(K(z \ y,v5),u,w). K((x * y) \ (x * z),u) = L(K(y \ z,u),z,x). L(K(x \ y,z),y,u) = K((u * x) \ (u * y),z). x != K(y \ ((z \ 1) * z),u) | x = K(y \ 1,u). L(K(x \ y,z),y,y \ 1) = K(((y \ 1) * x) \ 1,z). L(K((x \ y) \ z,u),z,x) = K(y \ (x * z),u). L(K(x \ (y \ z),u),y \ z,y) = K((y * x) \ z,u). L(K(x,y),z,u) = K((u * (z / x)) \ (u * z),y). K((x * (y / z)) \ (x * y),u) = L(K(z,u),y,x). L(K(x \ T(y,z),u),T(y,z),z) = K((z * x) \ (y * z),u). L(K(x \ y,z),y,u) = K(L(x \ y,x,u),z). L(K((K(x,y) * z) \ u,w),u,K(y,x)) = K(z \ (K(y,x) * u),w). L(K(x * y,z),y,u) = K((u * (x \ 1)) \ (u * y),z). L(K(L(x,y,z) \ x,u),x,z * y) = K(a(z,y,x),u). K((x \ y) \ z,z \ (x \ y)) = K(y \ (x * z),z \ (x \ y)). x != L(K(y,(z \ u) \ w),w,z) | x = K(y,u \ (z * w)). K(x \ (y * z),(y \ u) \ z) = K((y \ x) \ z,u \ (y * z)). K((x \ y) \ z,u \ (x * z)) = K(y \ (x * z),(x \ u) \ z). (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 / x,z),u) = (z * y) \ (z * (y * K(x,u))). K(L(x,y,z),u) = L(K(x,u),y * x,z). L(K(x,y),z * x,u) = K(L(x,z,u),y). L(K(x,y),z * x,u) = K((L(x,z,u) \ 1) \ 1,y). (x * (y * z)) / K(L(y,z,x),z) = x * (z * y). (x * (y * z)) * K(z,L(y,z,x)) = x * (z * y). x * (y * z) != (x * (z * y)) * u | K(y,L(z,y,x)) = u. (x * (y * z)) * u != x * (z * y) | K(z,L(y,z,x)) = u. L(K(x,y),z * x,u) != w | K(L(x,z,u),y) = w. L(K(x,y),z * T(x,u),w) != v5 | K(L(x,z * K(x,u),w),y) = v5. 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. K(x \ y,x) * T(z,x \ y) != u | (y / x) \ (z * (x \ y)) = u. K(x,L(y,x,x \ 1)) * (y * x) = x * y. K(x,y) = K(x,L(y,x,x \ 1)). K(x,L(y,x,x \ 1)) = K(x,y). K(x,(K(y,z) * u) \ w) != v5 | K(x,(u \ K(z,y)) * w) = v5. K(x,((y \ 1) * z) \ u) != w | K(x,(z \ y) * u) = w. R(x,y \ z,T(y,y \ z)) = R(x,z / y,y). x != K(y,((1 / z) * u) \ w) | x = K(y,((z \ 1) * u) \ w). L(K(x,y \ z),z,z \ 1) = K(x,((z \ 1) * y) \ 1). R(x,y,K(z,y)) * y = R(x * y,K(z,y),y). R(x * y,K(z,y),y) = R(x,y,K(z,y)) * y. R(x * y,K(z,y),y) != u * y | R(x,y,K(z,y)) = u. (K(x,y) \ (z * u)) \ (K(x,y) \ (z * (u * w))) = L(L(w,u,z),z * u,K(y,x)). L(K(x,R(y,z,y) \ (z \ u)),z \ u,z) = K(x,T(y * z,y) \ u). L(K(x,K(y,z) * (u \ w)),u \ w,u) = K(x,(u * K(z,y)) \ w). L(K(x,y * (z \ u)),z \ u,z) = K(x,(z * (y \ 1)) \ u). (x * y) * K(z \ u,u \ z) = x * (y * K(z \ u,u \ z)). K(L(x,y,z) \ 1,L(x,u,w)) = K(L(x,y,z) \ 1,x). K(1 / L(x,y,z),L(x,u,w)) = K(1 / x,x). L(x,y,z) * K(1 / x,x) = 1 / (1 / L(x,y,z)). x / (1 / (1 / L(y,z,u))) = K(y,1 / y) * (x / L(y,z,u)). K(x,1 / x) * (y / L(x,z,u)) = y / (1 / (1 / L(x,z,u))). K(x,(y * z) \ (y * u)) != w | L(K(x,z \ u),u,y) = w. x != L(K(y,z),u,u \ 1) | x = K(y,z). K(((x \ 1) * y) \ 1,z) = K(y \ x,z). x != K(y \ z,u) | x = K((y \ 1) * z,u). K(((x \ 1) * y) \ 1,z) = K((y \ 1) * x,z). K(((((x \ 1) \ y) \ 1) * x) \ 1,z) = K(y,z). x * K((y * z) \ x,u) = y * ((y \ x) * K(z \ (y \ x),u)). x * ((x \ y) * K(z \ (x \ y),u)) = y * K((x * z) \ y,u). L(K(x * (y \ z),u),y \ z,y) = K((y * (x \ 1)) \ z,u). L(K((x \ y) \ (z \ u),y),z \ u,z) = K((z * (y / x)) \ u,y). K(L(x,y / x,z),u) != w | L(K(x,u),y,z) = w. L(K(x,y),z,z \ 1) = K(x,((z \ 1) * (z / y)) \ 1). K(x,((y \ 1) * (y / z)) \ 1) = L(K(x,z),y,y \ 1). x != K(L(y,z,u) \ 1,y) | x = K(y \ 1,L(y,w,v5)). K(L(x,y,z) \ 1,L(x,u,w)) = K(x \ 1,L(x,v5,v6)). x != K(L(y,z,u) \ 1,y) | x = K(y \ 1,y). K(L(x,y,z) \ 1,L(x,u,w)) = K(x \ 1,x). K((x \ (y * z)) \ 1,L((y \ x) \ z,u,w)) = K(((y \ x) \ z) \ 1,(y \ x) \ z). K(L(x,y,z) \ 1,L(x,u,w)) * K(L(x,v5,v6),x \ 1) = 1. x != K(y,1 / z) | x = K(y,z \ 1). (x * (1 / (y * x))) / (1 / T(y,x)) = K(x,(y * x) \ 1). x != ((y * K(z,y)) \ u) \ 1 | x = (y \ u) \ K(z,y). T(x * K(y,x),x \ K(x,y)) = (x \ 1) \ K(y,x). T(K(x,y) * K(x,z),K(x,y) \ K(z,x)) = ((K(x,z) * K(x,y)) \ 1) \ 1. (x * K(y \ 1,z)) * y = (x * y) * K(y \ 1,z). (x * K(y \ 1,z)) \ ((x * y) * K(y \ 1,z)) = y. T(x,y) = R(T(x,y * K(x \ 1,z)),y,K(x \ 1,z)). R(T(x,y * K(x \ 1,z)),y,K(x \ 1,z)) = T(x,y). x != T(y,y * z) * L(T(z,y),u,w) | x = L(z,u,w) * T(y,y * z). K(x,x * y) * (L(y,z,u) * x) = L(y,z,u) * T(x,x * y). x != T(y,y * z) * R(T(z,y),u,w) | x = R(z,u,w) * T(y,y * z). K(x,x * y) * (R(y,z,u) * x) = R(y,z,u) * T(x,x * y). x * (y * ((x \ 1) / y)) = K(y,(x * y) \ 1). (x * (y \ ((z \ (y * (x \ u))) * z))) \ u = K(z,(x * (y \ z)) \ u). (x * (y * (z * T(z \ (y \ (x \ u)),w)))) \ u = K(w,(x * (y * z)) \ u). (x * (((y \ ((x \ z) * u)) * y) / u)) \ z = K(y,(x * (y / u)) \ z). 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 * T(y,L(z,y,x))) \ (x * (y * z)) = L(T(z,y),y,x). x != K(y \ 1,y) * K(z,u) | x = y / (K(u,z) * ((y \ 1) \ 1)). (x \ 1) * (y * (x / y)) = x / (K(y \ x,y) * ((x \ 1) \ 1)). x / (K(y \ x,y) * ((x \ 1) \ 1)) = (x \ 1) * (y * (x / y)). (x \ 1) * (y * (x / y)) != z | K(y,y \ x) * K(x \ 1,x) = z. K((x \ K(x,y)) * z,u) = K((K(x,y) / x) * z,u). K((K(x,y) / x) * z,u) = K((x \ K(x,y)) * z,u). K(x,(y / R(y,z,u)) \ x) = K(x,x * (y \ R(y,z,u))). x != K(y,(T(z,u) * (z \ w)) \ 1) | x = K(y,w \ K(u,z)). 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). 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). x \ (((y \ (x / z)) * y) * z) = K((x \ (y / (z \ 1))) \ 1,y). K((x \ (y / (z \ 1))) \ 1,y) = x \ (((y \ (x / z)) * y) * z). x * ((y \ (x \ z)) * y) = z * K((z \ (y * x)) \ 1,y). x * K((x \ (y * z)) \ 1,y) = z * ((y \ (z \ x)) * y). K(x \ 1,y) = T(K(x \ K(x,z),y),z). T(K(x \ K(x,y),z),y) = K(x \ 1,z). x * K(y \ 1,z) = K(y \ K(y,x),z) * x. K(x \ K(x,y),z) * y = y * K(x \ 1,z). x != (1 / y) * K(z,z \ 1) | x = K(z,z \ 1) / y. (K(x,x \ 1) / y) / z = K(x,x \ 1) / (z * y). (T((1 / x) * y,z) \ 1) / K(z,x \ y) = y \ x. T((1 / x) * y,z) \ K(x \ y,z) = y \ x. x != (y \ (T(y,z) / u)) \ K(y,z) | x = R(u,T(y,z) \ 1,y). T((1 / K(x,y)) * (x \ (T(x,y) / z)),u) \ K(K(x,y) \ (x \ (T(x,y) / z)),u) = R(z,T(x,y) \ 1,x). 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,y * (z / (1 / u))) = K(x,y * ((z \ 1) \ u)). K(x,y * (z / ((1 / u) * w))) = K(x,y * ((z \ 1) \ (w \ u))). K(x \ R(x,y,z),R(x,u,w)) != v5 | 1 = v5. (x * L(K(y,z),u,w)) \ x = L(K(z,y),u,w). (x * L(K(y,z),u,w)) * L(K(z,y),u,w) = x. x / L(K(y,z),u,w) = x * L(K(z,y),u,w). x * L(K(y,z),u,w) != v5 | x = v5 * L(K(z,y),u,w). x * L(K(y,z),u,w) != v5 | v5 * L(K(z,y),u,w) = x. x / L(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). (x * ((x \ y) * K(z,u))) \ y = L(K(u,z),x \ y,x). x * y = (x * (y * K(z,u))) * L(K(u,z),y,x). (x * (y * K(z,u))) * L(K(u,z),y,x) = x * y. x / L(K(y,z),u,w) != x * v5 | L(K(z,y),u,w) = v5. (x * (y \ T(y * z,y))) \ (x * z) = L(K(y,y * z),z,x). (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). 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. 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). x != L(K(y,z),u,w) * v5 | L(K(z,y),u,w) * x = v5. L(K(x,y),z,u) * w != v5 | L(K(y,x),z,u) * v5 = w. L(K(x,y),z,u) \ w != v5 | v5 = L(K(y,x),z,u) * w. L(K(x,y),z,u) \ w != v5 | L(K(y,x),z,u) * w = v5. x != (y * T(y \ z,z)) * (z \ 1) | x = K(y \ z,z). K((x * (y \ 1)) \ 1,y) = K(x \ y,y). (x * K((x \ y) \ 1,z)) * (x \ 1) = K((y * (x \ 1)) \ 1,z). x * y != K((z * (u \ 1)) \ 1,u) | K(z \ u,u) / y = x. K(x \ y,y) / (y \ T(y * (x \ 1),y)) = x. x * (y \ K(y \ x,x)) = T(x * (y \ 1),x). ((x * (K(y \ x,x) * (y \ 1))) / x) / (y \ 1) = y * (T(x * (y \ 1),x) / x). ((x \ 1) \ 1) \ y = y * T(y \ (x \ y),T(x,z)). x * T(x \ (y \ x),T(y,z)) = ((y \ 1) \ 1) \ x. x != K(((y \ 1) / z) \ u,w) | x = K(((1 / y) / z) \ u,w). (T(x,y) / z) / (x / z) = K(((1 / z) / (x / z)) \ 1,y). K(((1 / x) / (y / x)) \ 1,z) = (T(y,z) / x) / (y / x). x != y / (z * ((u \ (z \ y)) * u)) | x = K(u,y / (u * z)). K(x,y / (x / (z \ 1))) = K(x,y / (x * z)). T(x,y \ ((z \ 1) * u)) = T(x,y \ ((1 / z) * u)). T(x,y \ ((1 / z) * u)) = T(x,y \ ((z \ 1) * u)). T(x,1 / ((y \ ((1 / z) \ 1)) * u)) = T(x,(1 / (1 / u)) \ ((z \ 1) * y)). K(x,y \ K(y,z)) * z = z * K(x,y \ 1). x != K(y,(z * u) \ 1) | x = K(y,u \ (z \ 1)). (x * (1 / (y * x))) / (1 / T(y,x)) = K(x,x \ (y \ 1)). (x * T(y,L(z * K(y,z),y,x))) \ (x * (y * (z * K(y,z)))) = L(z,y,x). x * K((y * z) \ x,y) = z * ((y \ (z \ x)) * y). x != L(T(y \ z,u) \ 1,y \ z,y) | x = T(y \ z,u) \ T((y \ z) * (z \ y),u). x \ (y * K(z,y \ x)) = T(y \ x,z) \ T((y \ x) * (x \ y),z). T(x \ y,z) \ T((x \ y) * (y \ x),z) = y \ (x * K(z,x \ y)). L(x,y * z,K(z,y)) * (z * y) = K(z,y) * ((y * z) * T(x,z * y)). K(x,y) * ((y * x) * T(z,x * y)) = L(z,y * x,K(x,y)) * (x * y). L(L(K(x,y),z,u),K(y,x),w) = L(K(x,y),z,u). x / L(L(K(y,z),u,w),K(z,y),v5) = x * L(K(z,y),u,w). (T(x * y,z) * L(u,y,x)) \ (K(x * y,z) * ((x * y) * u)) = L(a(x,y,u),x * (y * u),K(x * y,z)). K(R(x,y,z),u) * (x \ R(x,y,z)) = R(T(x,u),y,z) * (x \ 1). (R(x,y,z) * u) / (R(T(x,w),y,z) * u) != v5 | K(w,R(x,y,z)) = v5. x != (y * (z * K(u,w))) \ (y * z) | x = L(K(w,u),z,y). L(K(x,y),z * K(y,x),u) = L(K(x,y),z,u). T(K(x * (y \ 1),y \ 1) / y,x) = R(1 / y,x,1 / y). K(x,L(y \ L(y,z,u),y,u * z)) = K(x,a(u,z,y) \ 1). K((x * (y * z)) \ ((x * y) * z),a(x,y,z) \ 1) / (((x * y) * z) \ (x * (y * z))) = (((x * y) * z) \ (x * (y * z))) \ 1. K(x * y,z) * (y * x) != u | K(y,x) * T(x * y,z) = u. 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). T(x,y \ (z * x)) * K(y \ z,x) = L(x,(z \ y) \ 1,x). K((x / y) \ z,x) != u | K((y \ x) \ z,x) = u. R(K(x \ y,x),y,z) = K(((x * z) / (y * z)) \ 1,x). R(K(x \ (y / z),x),y / z,z) = K(((x * z) / y) \ 1,x). K(L(x,y,z) \ 1,u) != w | L(K(x \ 1,u),y,z) = w. (x * (y * K(z \ 1,u))) \ (x * y) != w | K(u,L(z,y,x) \ 1) = w. x != K(y,L(L(z \ 1,u,w),v5,v6)) | x = K(y,L(L(1 / z,u,w),v5,v6)). K(x,1 / L(y,z,u)) = K(x,L(L(1 / y,y,z),z * y,u)). K(x,L(L(1 / y,y,z),z * y,u)) = K(x,1 / L(y,z,u)). K(L(x,y,z),L(x,u,w) \ 1) = K(L(x,v5,v6),x \ 1). x != K(L(y,y \ 1,z),u) | x = K(y,u). K(L(x,y,z),L(x,u,w) \ 1) = K(x,x \ 1). x * y != K(L(z,u,w),L(z,v5,v6) \ 1) | x \ K(z,z \ 1) = y. L(x,y,z) \ K(x,x \ 1) = 1 / L(x,y,z). x * y != L(z,u,w) \ K(z,z \ 1) | x \ (1 / L(z,u,w)) = y. x \ (1 / L(x,y,z)) = L(x,y,z) \ (1 / x). L(x,y,z) \ (1 / x) = x \ (1 / L(x,y,z)). 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 != (1 / L(y,z,u)) * y | x = y / L(y,z,u). L(x,y,z) \ x = x / L(x,y,z). x / L(x,y,z) = L(x,y,z) \ x. (L(x,y,z) \ x) * L(x,y,z) = x. (1 / x) \ (1 / L(x,y,z)) = L(x,y,z) \ x. (L(x,y,z) \ x) \ x = L(x,y,z). (x \ (y \ z)) / ((y * x) \ z) = L(x \ (y \ z),x,y) \ (x \ (y \ z)). L(x \ (y \ z),x,y) \ (x \ (y \ z)) = (x \ (y \ z)) / ((y * x) \ z). T(L(x,y,z),L(x,y,z) \ x) = L(x,y,z). 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(L(z,y,x),u) = x * (y * T(z,u)). (x * (y * T(z,u))) \ (x * (y * z)) = K(u,L(z,y,x)). (x * (K(y,z) * y)) * K(y,u) = x * (K(y,z) * T(y,u)). (x * (y * T(T(z,y),u))) \ (x * (z * y)) = K(u,L(T(z,y),y,x)). (x * T(y,z)) * K(y,u) = x * (K(y,z) * T(y,u)). (x / (K(y,z) * L(K(z,y),u,w))) * K(y,z) = x * L(K(y,z),u,w). x != R(1 / y,z,1 / y) | x = R(1 / y,z,y \ 1). T(K(x * (y \ 1),y \ 1) / y,x) = R(1 / y,x,y \ 1). R(K(x \ (y / z),x),y / z,z) != u | K(y / (x * z),x) = u. T(K(x \ y,x \ 1) / x,y) = R(1 / x,y,x \ 1). x != K(y,y \ 1) * ((z \ y) * z) | x = T((z \ y) * z,y \ 1). K(x \ y,x) * ((y \ 1) \ 1) = T((x \ y) * x,y \ 1). ((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. L(x \ 1,x,y * K(x,z)) != u | L(x \ 1,T(x,z),y) = u. x / (((x \ 1) \ 1) * y) = (1 / (1 / x)) / (x * y). (1 / (1 / x)) / (x * y) = x / (((x \ 1) \ 1) * y). (1 / (1 / x)) / (x * (T(x,y) \ 1)) = x / (T(x,y) \ ((x \ 1) \ 1)). T(x,y) / (T(x,y) * y) = x / ((y * K(x,y)) * x). T(x,y) / (T(x,y) * y) = x / (x * y). (x / (x * y)) \ T(x,y) = T(x,y) * y. x != T(y,z) * (y \ K(y,u)) | x = K(y,u) * K(y,z). (x \ K(x,y)) * T((x \ 1) \ 1,z) = K(x,y) * K(x,z). K(x \ 1,x) * (K(x,y) * K(x,z)) = (x \ K(x,y)) * T(x,z). (x * (K(y,z) * u)) / (x * u) = K((x * u) / (x * (y \ u)),z). K((x * y) / (x * (z \ y)),u) = (x * (K(z,u) * y)) / (x * y). (((x / y) * T(y,z)) * u) \ (x * u) = K(z,((x / y) * u) \ (x * u)). T(K(x,y) * z,u) \ T(z,u) = K(y,T(x \ z,u) \ T(z,u)). K(x,T(y \ z,u) \ T(z,u)) = T(K(y,x) * z,u) \ T(z,u). x * K((x \ (y * z)) \ 1,z) = y * ((z \ (y \ x)) * z). x * K((y * z) \ x,z) = y * ((z \ (y \ x)) * z). x * y != z * ((u \ (z \ x)) * u) | y = K((u * z) \ x,u). K((x * y) \ z,y) = K((y * x) \ z,y). 1 / K((x * y) \ z,x) = K(x,(y * x) \ z). K(x,(x * y) \ z) = K(x,(y * x) \ z). K(x,(y * x) \ z) = K(x,(x * y) \ z). x != T(y,z) * T(T(y,z) \ z,u) | x = T(y * T(y \ z,u),z). x * K((T(x,y) \ y) \ 1,z) = T(y * T(y \ x,z),x). T(x * T(x \ y,z),y) != y * u | K((T(y,x) \ x) \ 1,z) = u. T(x,1 / y) / ((x / y) \ x) = (x / y) * K(x,1 / y). T(x,1 / y) / y = (x / y) * K(x,1 / y). (x / y) * K(x,1 / y) = T(x,1 / y) / y. R(T(x \ y,x * z),x,z) != u | T((x * z) \ (y * z),x) = u. K(x,((K(y,z) * u) * w) \ v5) = K(x,(a(K(y,z),u,w) \ ((u * w) \ K(z,y))) * v5). K(x,(a(K(y,z),u,w) \ ((u * w) \ K(z,y))) * v5) = K(x,((K(y,z) * u) * w) \ v5). K(x,((((y \ 1) \ (K(z,u) \ 1)) * K(z,u)) * w) \ v5) = K(x,(w \ ((((K(z,u) \ y) \ 1) \ 1) \ K(u,z))) * v5). R(x,x \ 1,(x \ 1) \ (x \ y)) = (y / x) \ ((x \ 1) \ (x \ y)). K(x,y * (((1 / z) * u) * w)) = K(x,y * ((z \ L(u,1 / z,z)) * w)). K(x,y * ((z \ L(u,1 / z,z)) * w)) = K(x,y * (((1 / z) * u) * w)). L(x,y,z) \ (1 / (z * y)) = (z * (y * x)) \ K(z * y,y \ (z \ 1)). (x * (y * z)) \ K(x * y,y \ (x \ 1)) = L(z,y,x) \ (1 / (x * y)). ((x * (y \ 1)) \ z) \ (y / x) = z \ K(x * (y \ 1),(y \ 1) \ (x \ 1)). x \ K(y * (z \ 1),(z \ 1) \ (y \ 1)) = ((y * (z \ 1)) \ x) \ (z / y). K((((x \ y) * z) / (y * z)) \ 1,u) = R(R(K(x,u),x,x \ y),y,z). R(R(K(x,y),x,x \ z),z,u) = K((((x \ z) * u) / (z * u)) \ 1,y). T(((x * y) / x) * (y \ z),z) / z = K(x,(T(y \ z,z) / z) \ 1). (1 / x) * (K(x,y) * ((1 / x) \ z)) = K(x,y) * z. (1 / x) * (K(x,y) * z) = K(x,y) * ((1 / x) * z). K(x,y) * ((1 / x) * z) = (1 / x) * (K(x,y) * z). x * y != (1 / z) * (K(z,u) * w) | x \ (K(z,u) * ((1 / z) * w)) = y. (K(x,y) * z) \ (K(x,y) * ((1 / x) * z)) = T(1 / x,K(x,y) * z). (x \ 1) * (K(x,y) * ((x \ 1) \ z)) = K(x,y) * z. (x \ 1) * (K(x,y) * z) = K(x,y) * ((x \ 1) * z). K(x,y) * ((x \ 1) * z) = (x \ 1) * (K(x,y) * z). K(x,y) * ((x \ 1) * T(z,K(x,y))) = (x \ 1) * (z * K(x,y)). x * (K(x,y) * ((x \ 1) * z)) = L(K(x,y) * z,x \ 1,x). ((x \ 1) * y) / ((x \ 1) * (K(x,z) * y)) = K(z,x). ((x \ 1) * (K(y,x) * z)) / ((x \ 1) * z) = K(y,x). T(x,y) * ((x \ 1) * z) = L(K(x,y) * z,x \ 1,x). L(K(x,y) * z,x \ 1,x) = T(x,y) * ((x \ 1) * z). L(x,y \ 1,y) = T(y,z) * ((y \ 1) * (K(z,y) * x)). T(x,y) * ((x \ 1) * (K(y,x) * z)) = L(z,x \ 1,x). K(x,T(y * z,u)) = K(x,T((y \ 1) \ z,u)). K(x,T((y \ 1) \ z,u)) = K(x,T(y * z,u)). 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 * (y * K(z,(x \ u) \ y)) != (x * y) * w | K(z,u \ (x * y)) = w. (x * y) * z != x * (y * K(u,(x \ w) \ y)) | K(u,w \ (x * y)) = z. K((x \ 1) \ y,z \ (x * y)) = K(x * y,(x \ z) \ y). K((R(x,y,z) \ (R(x,y,z) * (x \ u))) \ u,w \ (R(x,y,z) * u)) = K(T(x,R(x,y,z) * (x \ u)),(R(x,y,z) \ w) \ u). 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. (x / y) \ K(z \ u,u \ z) = y * ((x \ 1) * K(z \ u,u \ z)). x * ((y \ 1) * K(z \ u,u \ z)) = (y / x) \ K(z \ u,u \ z). (x * ((x \ y) * K(z \ (x \ y),u))) \ y != w | K(u,(x * z) \ y) = w. K(R(x,L(y,z,u),x),R(x,L(y,z,u),x) * y) * T(x * L(y,z,u),x) = L(y,z,u) * T(R(x,L(y,z,u),x),R(x,L(y,z,u),x) * y). K(R(x,R(y,z,u),x),R(x,R(y,z,u),x) * y) * T(x * R(y,z,u),x) = R(y,z,u) * T(R(x,R(y,z,u),x),R(x,R(y,z,u),x) * y). x / T((y \ x) * y,x \ 1) = (x \ 1) * (y * (x / y)). x != y \ (((z \ (y / u)) * z) * u) | x = K((y \ (z * u)) \ 1,z). K((x \ (y / (z \ 1))) \ 1,y) = K((x \ (y * z)) \ 1,y). K((x / (y \ 1)) \ z,x) = K((z \ (x * y)) \ 1,x). K((x \ (y * z)) \ 1,y) = K((y / (z \ 1)) \ x,y). K((x * y) \ z,x) = K((x / (y \ 1)) \ z,x). K((x / (y \ 1)) \ z,x) = K((x * y) \ z,x). 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. ((x \ K(x,y)) * T(x,z)) \ 1 = (K(x,y) * K(x,z)) \ K(x,x \ 1). (K(x,y) * K(x,z)) \ K(x,x \ 1) = ((x \ K(x,y)) * T(x,z)) \ 1. T(K(x,y) * z,u) * K(y,T(x \ z,u) \ T(z,u)) = T(z,u). K(x,y) \ T(K(x,y) * z,u) = K(y,x) * T(K(y,x) \ z,u). T(K(x,y) * z,u) != K(x,y) * w | K(y,x) * T(K(y,x) \ z,u) = w. T(K(x,y) * (z * K(y,x)),u) != K(x,y) * w | T(z,u) * K(y,x) = w. (K(x,y) * T(K(x,y) \ z,u)) * K(y,x) = T(z * K(y,x),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). T((K(x,y) * z) * K(y,x),u) != w * K(y,x) | K(x,y) * T(z,u) = w. x != (y * z) * ((u \ L(w,z,y)) * u) | x = y * (z * ((u \ w) * u)). (x * K(y \ 1,z)) * z = x * (y * ((z \ (y \ z)) * z)). x * (y * ((z \ (y \ z)) * z)) = (x * K(y \ 1,z)) * z. x * (y * K(z \ 1,y)) = (x * K(z \ 1,y)) * y. (x * K(y \ 1,z)) * z = x * (z * K(y \ 1,z)). R(x,K(y \ 1,z),z) = x. R(x,K(y,z),z) = x. R(x,y,K(z,y)) = x. x * (y * K(z,y)) = (x * K(z,y)) * y. (x * K(y,z)) * z = x * (z * K(y,z)). x * (y * K(z,y)) = (x * y) * K(z,y). (x * y) * K(z,y) = x * (y * K(z,y)). (x * K(y,z)) \ (x * (z * K(y,z))) = z. x * y = (x * K(y,z)) * (y * K(z,y)). (x * K(y,z)) * (y * K(z,y)) = x * y. (x * T(y,z)) * z = (x * y) * (z * K(y,z)). (x * y) * (z * K(y,z)) = (x * T(y,z)) * z. L(K(x,y),y,z) = K(x,y). (x * y) * K(z,y) = x * ((z * y) / z). (x / (y * K(z,y))) * y = x * K(y,z). (x * y) * z != x * (y * K((x \ u) \ y,w)) | z = K(u \ (x * y),w). K((x \ y) \ z,z) = K(y \ (x * z),z). (x * (y * K(z,y))) * u != (x * y) * K(z,y) | 1 = u. 1 = a(x,y,K(z,y)). a(x,y,K(z,y)) = 1. K(L(x,y,z),y * x) = K(x,y * x). x != K(y,z) | x = L(K(y,z),z,u). L(K(x,y),y,z) = L(K(x,y),y,u). x != K(y,z \ u) | x = K(y,(u \ z) \ 1). L(K(x,y \ z),y \ z,u) = K(x,(z \ y) \ 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). L(K(x,y),y,z) != u | u = K(x,y). L(K(x,y),y,z) != u | K(x,y) = u. K(x \ (y * z),z) != u | K((y \ x) \ z,z) = u. 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. L(T(x,K(y,x)),K(y,x),z) = x. L(x,K(y,x),z) = x. (x * K(y,z)) * T(z,u) = x * (K(y,z) * T(z,u)). (x * K(y,z)) * R(z,u,w) = x * (K(y,z) * R(z,u,w)). (x * K(y,z)) * L(z,u,w) = x * (K(y,z) * L(z,u,w)). (x * y) / ((z * y) / z) = x * K(y,z). x * y != (z / u) * u | z / y = x. x / (y * K(z,y)) = (x / y) * K(y,z). (x * ((y * z) / y)) * y = (x * z) * T(y,z). (x * ((y * z) / y)) * y != u | (x * z) * T(y,z) = u. (x / (y / (y / z))) * z = x * K(z,z \ y). K(x \ (y * z),z) / (z \ T(z * ((y \ x) \ 1),z)) = y \ x. (x / y) * K(y,z) = x / ((z * y) / z). x / ((y * z) / y) = (x / z) * K(z,y). x / (y / (y / z)) = (x / z) * K(z,y / z). (x / ((y * z) / y)) * K(y,z) = x / z. (1 / (x / ((y * z) / y))) \ K(y,z) = x / z. x \ ((x / ((y * z) / y)) * ((((y * z) / y) \ K(y,z)) * ((y * z) / y))) = T(x \ (x / z),(y * z) / y). (x / ((y * z) / y)) \ T(x / z,1 / (x / ((y * z) / y))) = ((1 / (x / ((y * z) / y))) \ K(y,z)) * (1 / (x / ((y * z) / y))). x != L(K(y,z),u * z,w) | x = K(y,L(z,u,w)). L(L(K(x,y),z * y,u),y,w) = K(x,L(y,z,u)). x != (K(y * z,u) * z) * T(y,z) | x = (y * z) * R(K(y * z,u),z,T(y,z)). (K(x * y,z) * ((x * y) / x)) * x = (x * y) * R(K(x * y,z),y,T(x,y)). (x / T(y / (y / z),u)) * z = (x * K(u,y / (y / z))) * K(z,z \ y). (x * K(y,z / (z / u))) * K(u,u \ z) = (x / T(z / (z / u),y)) * u. L(T(K(x,y \ z),u),y \ z,w) = T(K(x,(z \ y) \ 1),u). 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)). 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). x / T(1 / y,z) = (x / T(y \ 1,z)) * K(y \ 1,y). (x / T(y \ 1,z)) * K(y \ 1,y) = x / T(1 / y,z). x / L(y,z,y) = (x / T(y,y * z)) * K(y,z). (x / T(y,y * z)) * K(y,z) = x / L(y,z,y). x / R(y,z,y) = (x / T(y,z)) * K(y,y * z). (x / T(y,z)) * K(y,y * z) = x / R(y,z,y). (x / R(y,z,y)) * y = (x / T(y,z)) * T(y,y * z). (x / T(y,z)) * T(y,y * z) = (x / R(y,z,y)) * y. (x * K(y,z)) * K(z,z * y) = (x / R(z,y,z)) * z. R(x,K(y,z),R(z,u,w)) = x. (x / R(y,z,u)) * K(y,w) = x / (K(w,y) * R(y,z,u)). x / (K(y,z) * R(z,u,w)) = (x / R(z,u,w)) * K(z,y). R(x,K(y,z),L(z,u,w)) = x. (x / T(1 / y,z)) \ 1 = (x / T(y \ 1,z)) \ K(y,y \ 1). (x / T(y \ 1,z)) \ K(y,y \ 1) = (x / T(1 / y,z)) \ 1. (x \ y) * (T(z * ((x \ y) \ 1),z) / z) = K(y \ (x * z),z) * K(z,z \ T(z * ((x \ y) \ 1),z)). K(x \ (y * z),z) * K(z,z \ T(z * ((y \ x) \ 1),z)) = (y \ x) * (T(z * ((y \ x) \ 1),z) / z). ((x * T(y,z)) * z) / (T(y,z) * z) = R(x,y,z * K(y,z)). R(x,T(y,z),z) = R(x,y,z * K(y,z)). R(x,y,z * K(y,z)) = R(x,T(y,z),z). (x * (y / x)) \ (y * z) = L(K(x \ y,x) * z,K(x,x \ y),y). L(K(x \ y,x) * z,K(x,x \ y),y) = (x * (y / x)) \ (y * z). L(K(x,K(y,z \ 1) * (u \ w)),u \ w,u) = K(x,(K(z \ K(z,u),y) * u) \ w). L(K(x,K(y \ 1,z) * (u \ w)),u \ w,u) = K(x,(K(z,y \ K(y,u)) * u) \ w). x != L(K(y \ (z \ u),w),z \ u,z) | x = K((z * y) \ u,w). K((x * (y / z)) \ u,y) = K((x * (z \ y)) \ u,y). K((x * (y / x)) \ z,y) = K(y \ z,y). x != R(T(y,z),u,w) * (y \ 1) | x = y \ R(T(y,z),u,w). 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(y,z) * u)) \ (x * (y * u)) = K(z,L(T(y,u),u,x)). (x * (T(y,z) * u)) \ (x * (y * u)) = K(z,T(L(y,u,x),u)). R((x \ y) * x,((x \ y) * x) \ 1,(((x \ y) * x) \ 1) \ K(x,x \ y)) = (y / ((x \ y) * x)) \ ((((x \ y) * x) \ 1) \ (((x \ y) * x) \ y)). 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). L(x,y \ 1,y) / (L(x,y \ 1,y) / y) = y * K(y \ x,y). (x * y) \ (y * (K(x,y) * (x * z))) = L(L(z,x,y),y * x,K(x,y)). (x * K(y,z \ 1)) * z = (x * z) * K(y,z \ 1). (x * K(y,z)) * (z \ 1) = (x * (z \ 1)) * K(y,(z \ 1) \ 1). (x * (y \ 1)) * K(z,(y \ 1) \ 1) = (x * K(z,y)) * (y \ 1). (x * (y \ 1)) * K(z,y) = (x * K(z,y)) * (y \ 1). (x * K(y,z)) * (z \ 1) = (x * (z \ 1)) * K(y,z). K(x,(((y \ 1) \ z) \ u) * w) = K(x,((y / (1 / z)) \ u) * w). K(x,((y / (1 / z)) \ u) * w) = K(x,(((y \ 1) \ z) \ u) * w). x != T(y,z) \ T(u * T(u \ y,y),z) | x = K((y \ u) \ 1,T(y,z)). K((T(x,y) \ T(z,y)) \ 1,x) = K((x \ z) \ 1,T(x,y)). x != K((y \ z) \ 1,u) | x = K(z \ y,u). K((T(x,y) \ T(z,y)) \ 1,x) = K(z \ x,T(x,y)). K(T(x,y) \ T(z,y),z) = K(x \ z,T(z,y)). 1 / K(x \ y,T(y,z)) = K(y,T(x,z) \ T(y,z)). K(x,T(y,z) \ T(x,z)) = 1 / K(y \ x,T(x,z)). x / K(y \ x,T(x,z)) != u | T(x,T(y,z) \ T(x,z)) = u. K(x,T(y,z) \ T(x,z)) = K(T(x,z),y \ x). (x * (y * ((x \ z) / y))) / z = K(y,((x * y) / z) \ 1). x != K(y,(z / u) \ 1) | x = K(y,u / z). (x * (y * ((x \ z) / y))) / z = K(y,z / (x * y)). (x * (y * ((x \ z) / y))) / z != u | K(y,z / (x * y)) = u. R(K(x,(y / z) / (u * x)),y / z,z) = ((u * (x * ((u \ (y / z)) / x))) * z) / y. x != K(y,z / ((1 / (1 / u)) \ w)) | x = K(y,z * ((w \ 1) * u)). K(x,y * (K(z \ 1,z) / (z \ u))) = K(x,y * ((u \ 1) * z)). x != K(y,z * (K(u \ 1,u) / w)) | x = K(y,z / w). K(x,y * ((z \ 1) * u)) = K(x,y / (u \ z)). K(x,y * (z * u)) = K(x,y / (u \ (1 / z))). K(x,y / (z \ (1 / u))) = K(x,y * (u * z)). K(x,y / (z \ (1 / (z \ u)))) = K(x,y * (u * K(z \ u,z))). K(x,y / (z \ ((1 / u) * z))) = K(x,y * (u * K(z \ u,z))). K(x,y / T(1 / z,u)) = K(x,y * (z * K(u \ z,u))). K(x,y * (z * K(u \ z,u))) = K(x,y / T(1 / z,u)). K(x,y * ((z \ u) * z)) = K(x,y / T(1 / u,z)). K(x,y / T(1 / z,u)) = K(x,y * ((u \ z) * u)). x != K(y,z / T(1 / u,w)) | x = K(y,z / T(u \ 1,w)). K(x,y * ((z \ u) * z)) = K(x,y / T(u \ 1,z)). K(x,y / T(z \ 1,u)) = K(x,y * ((u \ z) * u)). (x * (y \ ((z \ (y * (x \ u))) * z))) \ u = K(z,(x * (z / y)) \ u). T(x \ y,z) * (y \ (x * K(z,x \ y))) = T((x \ y) * (y \ x),z). x != R(L(y,z,u),w,v5) | x = L(R(y,w,v5),z,u). L(R(T(x,y),z,u),x \ T(w,x),x) = L(R(T(x,y),z,u),x \ w,x). L(K(x,y \ 1),z,u) != w | K(x,L(y,z,u) \ 1) = w. (1 / (1 / x)) / K(y,x) = x / (T(x,y) \ ((x \ 1) \ 1)). x / (T(x,y) \ ((x \ 1) \ 1)) = (1 / (1 / x)) / K(y,x). x != (1 / (1 / y)) / K(z,y) | x = T(1 / (1 / y),z). x / (T(x,y) \ ((x \ 1) \ 1)) = T(1 / (1 / x),y). x / (x * (1 / T(x,y))) = T(1 / (1 / x),y). T(1 / (1 / x),y) \ x = x * (1 / T(x,y)). ((x * K(y,z)) * u) \ (x * u) = K(z,((x / y) * u) \ (x * u)). K(x,((y / z) * u) \ (y * u)) = ((y * K(z,x)) * u) \ (y * u). ((x * K(y,z)) * u) * K(z,((x / y) * u) \ (x * u)) = x * u. K(x,((y / z) * L(z,u,w)) \ (y * L(z,u,w))) = (y * (K(z,x) * L(z,u,w))) \ (y * L(z,u,w)). (x * y) \ ((x * K(z,u)) * y) = K(((x / z) * y) \ (x * y),u). K(((x / y) * z) \ (x * z),u) = (x * z) \ ((x * K(y,u)) * z). ((x * K(y,z)) * K(y,u)) * K(z,y) = x * K(y,u). ((x * K(y,z)) * K(y,u)) * K(z,y) != w * v5 | w \ (x * K(y,u)) = v5. (x * K(y,z)) * K(u,y) = (x * K(u,y)) * K(y,z). ((x * K(y,z)) * K(u,y)) * K(z,y) = x * K(u,y). x * y != (z * K(u,w)) * K(v5,u) | ((z * K(v5,u)) * K(u,w)) / y = x. ((x * K(y,z)) * K(z,u)) / z = (x * K(z,u)) / T(z,y). (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)) / z) * K(z,u) = (x * K(z,u)) / T(z,y). (x / T(y,z)) * K(y,u) = (x * K(y,u)) / T(y,z). (x * K(y,z)) / T(y,u) = (x / T(y,u)) * K(y,z). ((x / T(y,z)) * K(y,u)) \ (x * K(y,u)) = T(y,z). ((x \ y) * K(x,z)) \ (y * K(x,z)) = T(x,x \ y). R(K(x,y),z,u) = K((((x \ z) * u) / (z * u)) \ 1,y). K((((x \ y) * z) / (y * z)) \ 1,u) = R(K(x,u),y,z). K((x * y) / ((z \ x) * y),u) = R(K(z,u),x,y). K((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). K(R(x,x \ y,z),u) = R(K(x,u),y,z). x != R(y,1,z) | x = y. K(R(x,x \ 1,y),z) = K(x,z). K(R(x,y,z),u) = R(K(x,u),x * y,z). R(K(x,y),x * z,u) = K(R(x,z,u),y). K(R(x,x \ y,z),u) * (y * z) = (K(x,u) * y) * z. (x * R(K(y,z),u,w)) \ x = K(z,R(y,y \ u,w)). K(x,R(y,y \ z,u)) = (w * R(K(y,x),z,u)) \ w. (x * R(K(y,z),u,w)) \ x != v5 | K(z,R(y,y \ u,w)) = v5. K(R(x,K(x,y) * (x \ z),u),w) = R(K(x,w),K(x,y) * z,u). x != K(y,L(z,y,y \ 1)) | x = K(y,z). K(R(x,x \ 1,y),L(z,x,x \ 1)) = K(x,z). R(K(R(x,y,z),u),w,v5) = R(R(K(x,u),w,v5),x * y,z). R(R(K(x,y),z,u),x * w,v5) = R(K(R(x,w,v5),y),z,u). R(K(x / (y / z),u),x,z) = K((x * z) / y,u). T(K(x,y) * z,z) / z = K(x,(T(y \ z,z) / z) \ 1). K(x,(T(y \ z,z) / z) \ 1) = T(K(x,y) * z,z) / z. x != T(y * z,u) / z | x = z \ T(z * y,u). K(x,(T(y \ z,z) / z) \ 1) = z \ T(z * K(x,y),z). K(x,y / T(z \ y,y)) = y \ T(y * K(x,z),y). K(x,T(y / z,y) \ y) = y \ T(y * K(x,z),y). x != y \ T(y * K(z,u),y) | x = K(T(y / z,y) \ y,u). K(x,T(y / z,y) \ y) = K(T(y / x,y) \ y,z). K(T(x / y,x) \ x,z) = K(y,T(x / z,x) \ x). K(x,T(y / z,y) \ y) * (K(z,x) * 1) = K(y * K(x,z),y). K(x,T(y / z,y) \ y) * K(z,x) = K(y * K(x,z),y). 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 * L(T(K(y,z),K(y,u) * (K(y,u) \ x)),w,v5) = K(y,u) * ((K(y,u) \ x) * L(T(K(y,z),K(y,u) \ x),w,v5)). K(x,y) * ((K(x,y) \ z) * L(T(K(x,u),K(x,y) \ z),w,v5)) = z * L(T(K(x,u),K(x,y) * (K(x,y) \ z)),w,v5). x * (y \ K(z \ u,u \ z)) = (y / x) \ K(z \ u,u \ z). (x / y) \ K(z \ u,u \ z) = y * (x \ K(z \ u,u \ z)). (x * y) \ (y * (T(x,y) * z)) = L(L(z,x,y),y * x,K(x,y)). L(L(x,y,z),z * y,K(y,z)) = (y * z) \ (z * (T(y,z) * x)). L(L(x,y,z),z * y,K(y,z)) != u | L(x,T(y,z),z) = u. x != (y * (z \ ((u \ (z * (y \ w))) * u))) \ w | x = K(u,(y * (z \ u)) \ w). K(x,(y * (x / z)) \ u) = K(x,(y * (z \ x)) \ u). K(x,(y * (x / y)) \ z) = K(x,x \ z). K(x,(y * z) \ u) = K(x,(y * ((z \ x) \ x)) \ u). K(x,(y * ((z \ x) \ x)) \ u) = K(x,(y * z) \ u). K(x,y \ z) = K(x,((y / T(u,u \ x)) * u) \ z). K(x,((y / T(z,z \ x)) * z) \ u) = K(x,y \ u). K(x,(y * K(z \ x,z)) \ u) = K(x,y \ u). K(x,y \ z) = K(x,((y \ x) \ x) \ z). K(x,((y \ x) \ x) \ z) = K(x,y \ z). (x * y) \ (x * (y * (z * K(1 / u,u)))) = L(z,y,x) * K(1 / u,u). (x \ (y \ z)) \ ((y * x) \ z) = ((y * x) \ z) / (x \ (y \ z)). ((x * y) \ z) / (y \ (x \ z)) = (y \ (x \ z)) \ ((x * y) \ z). x != ((y * z) \ u) / (z \ (y \ u)) | x = a(1 / (y * (y \ u)),y,z). (x \ (y \ z)) \ ((y * x) \ z) = a(1 / (y * (y \ z)),y,x). a(1 / (x * (x \ y)),x,z) = (z \ (x \ y)) \ ((x * z) \ y). a(1 / x,y,z) = (z \ (y \ x)) \ ((y * z) \ x). (x \ (y \ z)) \ ((y * x) \ z) = a(1 / z,y,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(x,y) * K(y * L(x,z,u),T(x,y)) = R(x,y,L(x,z,u)). 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). R(x,y,z) * (x * (R((u * x) / u,y,z) \ 1)) = x * K(R(x,y,z),u). L(L(x * K(y,x),z,u),w,v5) * y = y * L(L(x,w,v5),z,u). (x * (y \ T(y * z,u))) / (x * z) != w | K((x * z) / (x * (y \ 1)),u) = w. ((x * y) \ z) \ (y \ (x \ z)) = (y \ (x \ z)) / ((x * y) \ z). (x \ (y \ z)) / ((y * x) \ z) = ((y * x) \ z) \ (x \ (y \ z)). (1 / (x \ (y \ (z \ 1)))) \ (z * (y * x)) = ((y * x) \ (z \ 1)) \ (x \ (y \ (z \ 1))). K(x,y * (((z \ 1) * u) * w)) = K(x,y * (((1 / z) * u) * w)). K(x,y * (((1 / z) * u) * w)) = K(x,y * (((z \ 1) * u) * w)). K(x,y * ((z * (1 / (1 / u))) * w)) = K(x,y * ((((K(u,z) / u) \ 1) * z) * w)). K(x,y * ((((K(z,u) / z) \ 1) * u) * w)) = K(x,y * ((u * (1 / (1 / z))) * w)). ((x \ y) * ((y \ 1) * z)) \ K(x \ 1,(y \ 1) \ ((x \ y) \ 1)) = L(z,y \ 1,x \ y) \ (1 / ((x \ y) * (y \ 1))). L(1 / (x * y),y,x) \ (1 / (x * y)) != z | a(x,y,1 / (x * y)) = z. L(K(x,y \ (z \ u)),z \ u,z) != w | K(x,(z * y) \ u) = w. L(K(x,y),z \ u,z) != w | K(x,(z * ((z \ u) / y)) \ u) = w. L(K(x,K(y,z) * (u \ w)),u \ w,u) != v5 | K(x,(u * K(z,y)) \ w) = v5. L(K(x,y * (z \ u)),z \ u,z) != w | K(x,(z * (y \ 1)) \ u) = w. L(x * K(1 / y,y),z,u) = L(x,z,u) * K(1 / y,y). L(x,y,z) = L((x \ 1) \ 1,y,z) * K(1 / x,x). L((x \ 1) \ 1,y,z) * K(1 / x,x) = L(x,y,z). L(x,y,z) * K(x,1 / x) = L((x \ 1) \ 1,y,z). K(x,1 / x) * (y * L(x,z,u)) = y * L((x \ 1) \ 1,z,u). R(x,y,z) * (R((u * x) / u,y,z) \ x) = x * K(R(x,y,z),u). K(x \ (y * z),(x \ (y * z)) \ 1) = K(x \ (y * z),z \ (y \ x)). K(x \ (y * z),(y * z) \ x) = K(x \ (y * z),z \ (y \ x)). K(x \ (y * z),z \ (y \ x)) != u | K(x \ (y * z),(y * z) \ x) = u. x != K(y \ (z * u),(z * u) \ y) | x = K(((y / u) / z) \ 1,y / (z * u)). K(x \ (y * z),z \ (y \ x)) = K(((x / z) / y) \ 1,x / (y * z)). K(((x / y) / z) \ 1,x / (z * y)) = K(x \ (z * y),y \ (z \ x)). x != K(((y / z) / u) \ 1,y / (u * z)) | x = K(((y / z) / u) \ 1,(y / z) / u). K(x \ (y * z),z \ (y \ x)) = K(((x / z) / y) \ 1,(x / z) / y). K(((x / y) / z) \ 1,(x / y) / z) = K(x \ (z * y),y \ (z \ x)). K((x / y) \ z,z \ (x / y)) = K(x \ (z * y),y \ (z \ x)). x != K(y \ (z * u),u \ (z \ y)) | x = K(y \ (z * u),(z * u) \ y). K((x / y) \ z,z \ (x / y)) = K(x \ (z * y),(z * y) \ x). K((x \ y) \ z,z \ (x \ y)) != u | K(y \ (x * z),(x * z) \ y) = 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)). ((x * y) * T(z,u)) / (y * T(z,u)) = R(R(x,y,z),y * z,K(z,u)). R(R(x,y,z),y * z,K(z,u)) = ((x * y) * T(z,u)) / (y * T(z,u)). R(R(x,y,z),y * z,K(z,u)) = R(x,y,T(z,u)). R(R(x,y,z),y * z,K(z,u)) != w | R(x,y,T(z,u)) = w. x != R(R(y,z,u),w,v5) | x = R(R(y,w,v5),z,u). R(x,y,T(z,u)) = R(R(x,y * z,K(z,u)),y,z). R(R(x,y * z,K(z,u)),y,z) = R(x,y,T(z,u)). K(x,x \ y) * K(z,y / (y / x)) = T(y / (y / x),z) \ x. K(x * ((y * z) \ y),z) = K((((y * z) \ y) \ 1) \ x,z). K((((x * y) \ x) \ 1) \ z,y) = K(z * ((x * y) \ x),y). x \ K((1 / x) \ y,((1 / x) \ y) \ 1) = (y \ 1) \ ((1 / y) * (1 / x)). L(x,y,z * (T(1 / (1 / z),u) \ K(w,z))) = L(x,y,K(w,z) * K(u,z)). K(x,y * (((z * (u \ 1)) / z) \ 1)) = K(x,y * (u * K(u \ 1,z))). T(x,y) / ((1 / z) \ x) = (1 / z) * K((((z \ 1) \ x) \ 1) \ (z \ 1),y). T(K(x,y) * K(x,z),K(z,x) * K(y,x)) = ((K(x,z) * K(x,y)) \ 1) \ 1. (x * (y * ((z \ (y \ (x \ u))) * z))) \ u = K(z,(x * (y * z)) \ u). ((x * y) * ((z \ ((x * y) \ u)) * z)) \ u = K(z,(x * (y * z)) \ u). T(x,1 / ((y \ z) * u)) = T(x,(1 / (1 / u)) \ ((z \ 1) * y)). T(x,(1 / (1 / y)) \ ((z \ 1) * u)) = T(x,1 / ((u \ z) * y)). x != T(y,1 / z) | x = T(y,z \ 1). T(x,(1 / (1 / y)) \ ((z \ 1) * u)) = T(x,((u \ z) * y) \ 1). T(x,(1 / (1 / y)) \ ((z \ 1) * u)) = T(x,y \ ((u \ z) \ 1)). (x * T(y,L(z,y,x))) \ (x * (y * (z * K(y,z)))) = L(z,y,x). (x * T(y,L(z,y,x))) \ (x * (T(y,z) * z)) = L(z,y,x). x \ K(y * (z \ 1),z / y) = ((y * (z \ 1)) \ x) \ (z / y). ((x * (y \ 1)) \ z) \ (y / x) = z \ K(x * (y \ 1),y / x). ((x * (y \ 1)) \ z) \ (y / x) = z \ K(x / y,y / x). ((x * (y \ 1)) \ z) \ (y / x) = z \ K(y \ x,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. (1 / x) * K(y \ (1 / x),z) = K((y * x) \ 1,z) / x. (1 / x) * y != K(z \ 1,z) / x | y = K(z \ 1,z). K(x \ (1 / y),x * y) = K((x * y) \ 1,x * y). K((x * y) \ 1,x * y) = K(x \ (1 / y),x * y). (1 / x) * K(y \ (x \ 1),z) = K((y * x) \ 1,z) / x. K((x * (y \ 1)) \ 1,x * (y \ 1)) = K(x \ y,x * (y \ 1)). x != K((y * (z \ 1)) \ 1,y * (z \ 1)) | x = (z * K((y / z) \ 1,y / z)) * (z \ 1). K(x \ y,x * (y \ 1)) = (y * K((x / y) \ 1,x / y)) * (y \ 1). (x * K((y / x) \ 1,y / x)) * (x \ 1) = K(y \ x,y * (x \ 1)). (x * K(y \ x,x \ y)) * (x \ 1) = K(y \ x,y * (x \ 1)). K(x \ y,y \ x) = K(x \ y,x * (y \ 1)). K(x \ y,x * (y \ 1)) = K(x \ y,y \ x). K(x \ (y \ 1),x * T(y,y \ 1)) = K(x \ (y \ 1),(y \ 1) \ x). x != K(y \ (z \ 1),u * T(w,w \ 1)) | x = K(y \ (1 / z),u * w). K(x \ (y \ 1),(y \ 1) \ x) = K(x \ (1 / y),x * y). K(x \ (y \ 1),y * x) = K(x \ (1 / y),x * y). K(x \ (1 / y),x * y) = K(x \ (y \ 1),y * x). x != K(y \ (1 / z),y * z) | x = K((y * z) \ 1,y * z). K(x \ (y \ 1),y * x) = K((x * y) \ 1,x * y). K((x * y) \ 1,x * y) = K(x \ (y \ 1),y * x). x \ K((1 / x) \ y,y \ (1 / x)) = (y \ 1) \ ((1 / y) * (1 / x)). x \ K(x * y,y \ (1 / x)) = (y \ 1) \ ((1 / y) * (1 / x)). (x \ 1) \ ((1 / x) * (1 / y)) = y \ K(y * x,x \ (1 / y)). (x \ 1) \ ((1 / x) * (1 / y)) = y \ K(y * x,x \ (y \ 1)). K(x,x \ 1) * (1 / y) = y \ K(y * x,x \ (y \ 1)). x \ K(x * y,y \ (x \ 1)) = K(y,y \ 1) * (1 / x). x != K(y,y \ 1) * (1 / z) | x = K(y,y \ 1) / z. x \ K(x * y,y \ (x \ 1)) = K(y,y \ 1) / x. x != y \ K(z * u,u \ (z \ 1)) | x = (y \ (z * u)) * (1 / (z * u)). K(x,x \ 1) / y = (y \ (y * x)) * (1 / (y * x)). (x \ (x * y)) * (1 / (x * y)) = K(y,y \ 1) / x. x * (1 / (y * x)) = K(x,x \ 1) / y. K(x,x \ 1) / y = x * (1 / (y * x)). (1 / x) * K(y,y \ 1) = y * (1 / (x * y)). K(x * y,y \ (x \ 1)) / z = (x * y) * (1 / (z * (x * y))). K(x \ y,y \ x) / z = (x \ y) * (1 / (z * (x \ y))). (x \ y) * (1 / (z * (x \ y))) = K(x \ y,y \ x) / z. (x * (1 / (y * x))) / z = K(x,x \ 1) / (z * y). 1 / (x * (1 / (y * x))) = K(x \ 1,x) / (1 / y). K(x \ 1,x) / (1 / y) = 1 / (x * (1 / (y * x))). x != K(y,y \ 1) / z | x = y * (1 / (z * y)). (x * (1 / (y * x))) / z = x * (1 / ((z * y) * x)). x != K(y \ 1,y) / z | x = (y \ 1) * (y / z). 1 / (x * (1 / (y * x))) = (x \ 1) * (x / (1 / y)). x != (y * (1 / (z * y))) / (1 / T(z,y)) | x = K(y,y \ (z \ 1)). x * (1 / (((1 / T(y,x)) * y) * x)) = K(x,x \ (y \ 1)). ((x \ y) * (1 / y)) / z = (x \ y) * (1 / ((z * x) * (x \ y))). (x \ y) * (1 / ((z * x) * (x \ y))) = ((x \ y) * (1 / y)) / z. T(x * (1 / ((y * z) * x)),y) != u | y \ (x * (1 / (z * x))) = u. (x * ((1 / x) * K(y,z))) / u = x * (1 / ((u * K(z,y)) * x)). (x \ y) * (1 / y) = K(x \ y,y \ x) / x. K(x \ y,y \ x) / x = (x \ y) * (1 / y). ((x \ y) * (1 / y)) * x = K(x \ y,y \ x). K(x \ (x / y),y) / x = (x \ (x / y)) * (1 / (x / y)). (x \ (x / y)) * (1 / (x / y)) = K(x \ (x / y),y) / x. ((x \ (y \ z)) * ((1 / z) * y)) * x = K(x \ (y \ z),(y \ z) \ x). x * (1 / (K(x,y) * x)) = K(x,x \ (y \ 1)). x * (1 / T(x,y)) = K(x,x \ (y \ 1)). K(x,x \ (y \ 1)) = x * (1 / T(x,y)). x != y * (1 / T(z,u)) | x = y * (K(u,z) / z). K(x,x \ (y \ 1)) = x * (K(y,x) / x). K(T(x,y),T(x,y) \ (z \ 1)) != u | x * (K(x,y) * (1 / T(T(x,y),z))) = u. (x \ (x / y)) * (1 / (x / y)) = K(y \ 1,y) / x. x != (y \ (z / u)) * (1 / (z / u)) | x = y \ K(u \ z,z \ u). K(x \ 1,x) / y = y \ K(x \ y,y \ x). x \ K(y \ x,x \ y) = K(y \ 1,y) / x. x != y \ K(z \ y,y \ z) | x = z \ (1 / (y / z)). K(x \ 1,x) / y = x \ (1 / (y / x)). x * (K(y \ 1,y) / x) = K(y \ x,x \ y). x \ (1 / (y / x)) = (x \ 1) * (x / y). x \ (1 / y) = (x \ 1) * (x / (y * x)). (x \ 1) * (x / (y * x)) = x \ (1 / y). x \ (1 / ((y * K(z \ 1,z)) / x)) = (x \ 1) * ((x / y) * K(z,z \ 1)). (x \ 1) * (1 / ((y * x) * (x \ 1))) = x \ (1 / y). x * (K(y \ z,z \ y) / x) = K((z \ y) \ x,x \ (z \ y)). K((x \ y) \ z,z \ (x \ y)) = z * (K(y \ x,x \ y) / z). x * (K(y \ z,z \ y) / x) = K((y / z) \ x,x \ (y / z)). K((x / y) \ z,z \ (x / y)) = z * (K(x \ y,y \ x) / z). x * ((y \ 1) * (y / x)) = K(y \ x,x \ y). K(x,(y \ (1 / z)) \ u) = K(x,(z * y) * u). x != (y \ z) * (1 / (u * (y \ z))) | x = K(y \ z,z \ y) / u. ((x \ y) * (1 / y)) / z = K(x \ y,y \ x) / (z * x). K(x \ y,y \ x) / (z * x) = ((x \ y) * (1 / y)) / z. (x * ((1 / x) * K(y \ 1,y))) / z = x * (1 / (z * (x * K(y,y \ 1)))). (x * (y * (1 / (x * y)))) / z = x * (1 / ((z * K(y \ 1,y)) * x)). x * (1 / ((y * K(z \ 1,z)) * x)) = (x * (z * (1 / (x * z)))) / y. K(x \ (y * z),(y * z) \ x) = z * (K(x \ y,y \ x) / z). x * y != K((z / u) \ w,w \ (z / u)) | x \ K(z \ (w * u),(w * u) \ z) = y. x \ K(y \ (x * z),(x * z) \ y) = K(y \ z,z \ y) / x. x != y * (K(z \ u,u \ z) / y) | x = K((z / u) \ y,y \ (z / u)). K(x \ (y * z),(y * z) \ x) = K((x / y) \ z,z \ (x / y)). K((x / y) \ z,z \ (x / y)) = K(x \ (y * z),(y * z) \ x). K(x \ (y * z),(y * z) \ x) = z * ((1 / z) * K(x \ y,y \ x)). x * ((1 / x) * K(y \ z,z \ y)) = K(y \ (z * x),(z * x) \ y). (((1 / x) \ (y \ z)) * ((1 / z) * y)) * (1 / x) = K((1 / x) \ (y \ z),1 / (x * T(y \ z,z \ y))). K((1 / x) \ (y \ z),1 / (x * T(y \ z,z \ y))) = (((1 / x) \ (y \ z)) * ((1 / z) * y)) * (1 / 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. T(x,y) / ((1 / z) \ x) = K(x,y) / z. T(K(x,y) * K(x,z),K(z,x) * K(y,x)) = (K(z,x) * K(y,x)) \ 1. x != (K(y,z) * K(u,w)) \ 1 | x = K(w,u) * K(z,y). T(K(x,y) * K(x,z),K(z,x) * K(y,x)) = K(x,y) * K(x,z). K(K(x,y) * K(x,z),K(z,x) * K(y,x)) = 1. K(K(x,y) * K(x,z),(K(x,y) * K(x,z)) \ 1) = 1. K(K(x,y) * K(x,z),(K(x,y) * K(x,z)) \ 1) * u != 1 | 1 = u. 1 = K((K(x,y) * K(x,z)) \ 1,K(x,y) * K(x,z)). K((K(x,y) * K(x,z)) \ 1,K(x,y) * K(x,z)) = 1. L(x * 1,K(y,z) * K(y,u),(K(y,z) * K(y,u)) \ 1) = ((K(y,z) * K(y,u)) \ 1) * ((K(y,z) * K(y,u)) * x). x \ (1 / (K(y \ 1,y) * (z / x))) = (x \ 1) * ((x / z) * K(y,y \ 1)). (x * (K(y \ 1,y) / x)) / z = x * (1 / (z * (x * K(y,y \ 1)))). x * (1 / (y * (x * K(z,z \ 1)))) = (x * (K(z \ 1,z) / x)) / y. x * (K(y \ 1,y) / (z * x)) = (x * (K(y \ 1,y) / x)) / z. (x * (K(y \ 1,y) / x)) / z = x * (K(y \ 1,y) / (z * x)). K(x \ y,y \ x) / z = y * (K(x \ 1,x) / (z * y)). x * (K(y \ 1,y) / (z * x)) = K(y \ x,x \ y) / z. x \ ((1 / (y / x)) * K(z,z \ 1)) = (x \ 1) * ((x / y) * K(z,z \ 1)). x \ (y * (1 / ((z / x) * y))) = (x \ 1) * ((x / z) * K(y,y \ 1)). (x \ 1) * ((x / y) * K(z,z \ 1)) = x \ (z * (1 / ((y / x) * z))). x != (y \ 1) * (z * K(u,u \ 1)) | x = ((y \ u) * (1 / u)) * z. x \ (y * (1 / ((z / x) * y))) = ((x \ y) * (1 / y)) * (x / z). x != (y * ((z / u) / y)) * u | x = u * (y * ((u \ z) / y)). (x * y) * (z * (L(y \ 1,y,x) / z)) = (x * y) * (z * (((x * y) \ x) / z)). R((x \ (1 / y)) * x,y,z) * (y * z) = (y * z) * ((x \ ((y * z) \ z)) * x). T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)) = L(z,T(x / T(z,y),z),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). x * (y * z) != (K(y,u) * y) * z | x = K(y,u). K(x,R(y,x,z) \ 1) = K(x,y \ 1). (x * y) / ((K(z,u \ 1) * x) * y) != w | K(R(u,x,y) \ 1,z) = w. K(x,R(R(y,x,z),u,w) \ 1) = K(x,R(y,u,w) \ 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 \ 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). T(x,R(y \ 1,z,u) \ 1) = x * R(K(x,y),z,u). 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 * R(K(y,z),u,w)) \ x = R(K(z,y),u,w). R(K(x,y),z,u) \ 1 = R(K(y,x),z,u). (x * y) / ((K(z,u) * x) * y) = R(K(u,z),x,y). R(K(x,y),z,u) \ (z * u) = (K(y,x) * z) * u. x != R(K(y,z),y / z,u) \ ((y / T(z,y)) * u) | x = (y / z) * u. R(K(x,y),y / x,z) * ((y / T(x,y)) * z) = (y / x) * z. R(K(x,y),z,u) \ 1 != w | w = R(K(y,x),z,u). R(K(x,y),z,u) \ 1 != w | R(K(y,x),z,u) = w. (R(K(x,y),z,u) \ K(R(K(x,y),z,u) * w,R(K(y,x),z,u))) \ w = w / (R(K(x,y),z,u) \ 1). K(x,R(y,y \ z,u)) = R(K(x,y),z,u). (x * R(K(y,z),u,w)) * R(K(z,y),u,w) = x. K(x,R(y,T(y,x) \ z,u)) = R(K(x,T(y,x)),z,u). K(x,R(y,z,u)) = R(K(x,y),y * z,u). R(K(x,y),y * z,u) = K(x,R(y,z,u)). K(x,R(R(y,z,u),z * u,w)) = R(K(x,R(y,z,u)),(y * z) * u,w). R(K(x,R(y,z,u)),(y * z) * u,w) = K(x,R(R(y,z,u),z * u,w)). K(x,(y * z) / ((u \ y) * z)) = R(K(x,u),y,z). K(x,y) = R(K(x,y),T(y,z),u). R(K(x,y),T(y,z),u) = K(x,y). K(x,R(y,T(y,z) \ u,w)) = R(K(x,y),K(z,y) * u,w). R(K(x,y),K(z,y) * u,w) = K(x,R(y,T(y,z) \ u,w)). K(x,y) * (T(y,z) * u) = (K(x,y) * T(y,z)) * u. (K(x,y) * T(y,z)) * u = K(x,y) * (T(y,z) * u). K(x,y) != z | R(K(x,y),y,u) = z. K(x * y,x) = K(x * y,R(x,y,z)). K(x * y,R(x,y,z)) = K(x * y,x). x != R(K(y \ 1,z),u,w) | x = K(R(y,u,w) \ 1,z). K(x \ 1,R(y,z,u)) = K(R(x,y * z,u) \ 1,y). K(R(x,y * z,u) \ 1,y) = K(x \ 1,R(y,z,u)). R(T(K(x,y),z),y * u,w) = T(K(x,R(y,u,w)),z). K(x,R(y,z,u)) * ((y * z) * u) = (y * (K(x,y) * z)) * u. (x * R(K(y,z),u,w)) \ x != v5 | v5 = R(K(z,y),u,w). (x * R(K(y,z),u,w)) \ x != v5 | R(K(z,y),u,w) = v5. ((x \ 1) * y) / ((x \ K(x,z)) * y) = R(K(z,x),x \ 1,y). 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,R(y,z,u) \ y),y,w) = K(x,(y * w) / (R(y,z,u) * w)). R(K(x,(y / z) \ x),x,z) = K(x,(x * z) / y). K(x,(y / z) \ x) = K(x,(x * z) / y). K(x,(x * y) / z) = K(x,(z / y) \ x). R(K(x,(y / z) \ x),x,z) = K(x,(y / (x * z)) \ 1). K(x,(x * y) / z) != u | K(x,(z / y) \ x) = u. K(x,(x / L(y,z,u)) * y) = K(x,(L(y,z,u) / y) \ x). K(x,(L(y,z,u) / y) \ x) = K(x,(x / L(y,z,u)) * y). K(x,(y * (z \ 1)) \ 1) = R(K(x,z / y),z,z \ 1). R(K(x,y / z),y,y \ 1) = K(x,(z * (y \ 1)) \ 1). K(x,R(y,T(y,x) \ z,u)) = R(K(x,y),z,u). L(x,T(y,z),K(u,y)) = x. K(x,(((y * z) * u) / ((x * z) * u)) \ 1) = K(x,R(y / x,x * z,u) \ 1). K(x,R(y / x,x * z,u) \ 1) = K(x,(((y * z) * u) / ((x * z) * u)) \ 1). K(x,R(y,y \ z,u)) != w | R(K(x,y),z,u) = w. K(x,R(y,T(z,y),u)) != w | R(K(x,y),z * y,u) = w. K(x,R(R(y,z,u),z * u,w)) != v5 | R(K(x,R(y,z,u)),(y * z) * u,w) = v5. K(x,R(y,T(y,z) \ u,w)) != v5 | R(K(x,y),K(z,y) * u,w) = v5. R(K(x,y \ x),x,z) = K(x,((y * z) / (x * z)) \ 1). R(T(K(x,(y / z) \ x),u),x,z) = T(K(x,(y / (x * z)) \ 1),u). R(K(x,y),z,z \ 1) = K(x,((y \ z) * (z \ 1)) \ 1). K(x,((y \ z) * (z \ 1)) \ 1) = R(K(x,y),z,z \ 1). R(K(x / y,z \ (x / y)),x / y,y) = K(x / y,((z * y) / x) \ 1). x != K(y,R(z,T(z,y) \ u,w)) | x = R(K(y,z),u,w). R(K(x,y),K(x,y) * z,u) = R(K(x,y),z,u). R(K(x,y),y \ 1,z) = R(K(x,y),y \ K(y,x),z). R(K(x,y),y \ K(y,x),z) = R(K(x,y),y \ 1,z). ((((x \ 1) * (K(y,x) * z)) / ((x \ 1) * z)) * (x \ 1)) * z = (x \ 1) * (R(K(y,x),x \ K(x,y),z) * z). (x \ 1) * (R(K(y,x),x \ K(x,y),z) * z) = ((((x \ 1) * (K(y,x) * z)) / ((x \ 1) * z)) * (x \ 1)) * z. K(x,(y \ L(y,z,u)) \ x) = K(x,(x / L(y,z,u)) * y). x != K(y,(z \ u) \ y) | x = K(y,u \ (z * y)). K(x,(x / L(y,z,u)) * y) = K(x,L(y,z,u) \ (y * x)). K(x,L(y,z,u) \ (y * x)) = K(x,(x / L(y,z,u)) * y). K(x,y * (L(y,z,u) \ x)) = K(x,(x / L(y,z,u)) * y). K(x,(x / L(y,z,u)) * y) = K(x,y * (L(y,z,u) \ x)). R(K(x \ 1,y),z,u) != w | K(R(x,z,u) \ 1,y) = w. R(K(x * y,x),(x * y) * z,u) = K(x * y,R(R(x,y,z),y * z,u)). K((x / y) \ 1,z \ (y / x)) = K(y / x,((z * x) / y) \ 1). K((x / y) \ 1,z \ (y / x)) = K(y / x,y / (z * x)). K(x / y,x / (z * y)) != u | K(x / y,z \ (x / y)) = u. x != R(K(y,z),y * u,w) | x = K(R(y,u,w),z). K(x * y,R(R(x,y,z),y * z,u)) = K(R(x * y,z,u),x). x / (K(R(y * z,u,w),y) * x) = K(R(R(y,z,u),z * u,w),y * z). K(R(R(x,y,z),y * z,u),x * y) = w / (K(R(x * y,z,u),x) * w). K(R(R(x,y,z),y * z,u),x * y) != w | K(x,R(x * y,z,u)) = w. 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(T(x * K(y * R(x,z,u),x),w),y) = R(T(x,w),y,R(x,z,u)). (x * y) * L(z * ((y \ 1) / z),y,x) = (x * y) * (z * (((x * y) \ x) / z)). (((x \ (1 / y)) * x) * y) * z = (y * z) * ((x \ ((y * z) \ z)) * x). (x * y) * ((z \ ((x * y) \ y)) * z) = (((z \ (1 / x)) * z) * x) * y. (x * y) * ((z \ ((x * y) \ y)) * z) = K(x \ (z \ 1),z) * y. x / (K(y \ (z \ 1),z) * x) = K(z,x / (z / ((y * x) \ 1))). K(x,y / (x / ((z * y) \ 1))) = y / (K(z \ (x \ 1),x) * y). x != y / (K(z,u) * y) | x = K(u,z). K(x,y / (x / ((z * y) \ 1))) = K(x,z \ (x \ 1)). x != K(y,z / (y / (u \ 1))) | x = K(y,z / (y * u)). K(x,y \ (x \ 1)) = K(x,z / (x * (y * z))). K(x,y / (x * (z * y))) = K(x,z \ (x \ 1)). x != L(y,T(z,y),y) | x = L(y,z,y). T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)) = L(z,x / T(z,y),z). K(x,R(y / x,x * z,u) \ 1) = K(x,((x * z) * u) / ((y * z) * u)). x != K(y,R(z / u,w,v5) \ 1) | x = R(K(y,u / z),w,v5). K(x,((x * y) * z) / ((u * y) * z)) = R(K(x,x / u),x * y,z). R(K(x,x / y),x * z,u) = K(x,((x * z) * u) / ((y * z) * u)). R(K(x,y \ x),x * z,u) = K(x,((x * z) * u) / ((y * z) * u)). K(x,((x * y) * z) / ((u * y) * z)) = K(R(x,y,z),u \ x). K(x,(y * z) / ((u * (x \ y)) * z)) = K(R(x,x \ y,z),u \ x). K(R(x,x \ y,z),u \ x) = K(x,(y * z) / ((u * (x \ y)) * z)). K(x,((y * z) * R(x,y,z)) / ((u * (K(y * z,x) * y)) * z)) = K(R(x,K(y * z,x) * y,z),u \ x). x != K(R(y,y \ z,u),w) | x = R(K(y,w),z,u). K(x,(y * z) / ((u * (x \ y)) * z)) = R(K(x,u \ x),y,z). 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(z,x) \ z) = (x \ (y * (T(z,x) \ z))) * x. (x \ (y * (T(z,x) \ z))) * x = ((x \ y) * x) * (T(z,x) \ z). (x \ (y * K(x,z))) * x = ((x \ y) * x) * (T(z,x) \ z). ((x \ y) * x) * (T(z,x) \ z) = (x \ (y * K(x,z))) * x. ((x \ y) * x) * K(x,z) = (x \ (y * K(x,z))) * x. (x \ (y * K(x,z))) * x = ((x \ y) * x) * K(x,z). x * y != (z * y) * K(y,u) | x = z * K(y,u). x \ (y * K(x,z)) = (x \ y) * K(x,z). T((x / y) * K(y,z),y) = (y \ x) * K(y,z). x * ((x \ y) * K(x,z)) = y * K(x,z). x * (y * K(x,z)) = (x * y) * K(x,z). (x * y) * K(x,z) = x * (y * K(x,z)). K(x,y \ (x * z)) = K(x,(x \ y) \ z). K(x,(x \ y) \ z) = K(x,y \ (x * z)). (x / y) \ K(y,z) = y * ((x \ 1) * K(y,z)). x * ((y \ 1) * K(x,z)) = (y / x) \ K(x,z). R(x,y,K(x,z)) = x. L(K(x,y),z,x) = K(x,y). x != y * (z * K(y,u)) | x = T(y,u) * T(z,K(y,u)). (x * y) * K(x,z) = T(x,z) * T(y,K(x,z)). T(x,y) * T(z,K(x,y)) = (x * z) * K(x,y). (x * (y * K(x,z))) * u != (x * y) * K(x,z) | 1 = u. 1 = a(x,y,K(x,z)). a(x,y,K(x,z)) = 1. (x * (y * K(x,z))) * x = (x * y) * T(x,z). R(T(x,y),z,K(x,u)) = T(x,y). T(x,y) * (z * K(x,u)) = (T(x,y) * z) * K(x,u). (T(x,y) * z) * K(x,u) = T(x,y) * (z * K(x,u)). 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,x) = R(x,y,T(x,z)). R(x,y,T(x,z)) = R(x,y,x). K(x,y) = R(K(x,y),z,K(y,u)). R(K(x,y),z,K(y,u)) = K(x,y). K(x,(x * y) \ z) = K(x,y \ (x \ z)). K(L(x,y,x),z) = K(x,z). x != y | x = z \ (z * y). L(K(x,y),z,x) = u \ (u * K(x,y)). K(x,y) = K(x,L(y,z,x)). K(x,L(y,z,x)) = K(x,y). K(T(x / (x / y),x),z) = K(y,z). K(x,y) = K(R(x,z,x),y). K(R(x,y,x),z) = K(x,z). T(x,L(y,z,y)) = x / K(y,x). (x * K(y,x)) * L(y,z,y) = L(y,z,y) * x. K(x,y) * L(x,z,x) = L(T(x,y),z,x). K(x,L(L(y,z,x),u,w)) = K(x,L(y,u,w)). K(x,T(y \ (x * z),u)) = K(x,T((x \ y) \ z,u)). K(x,T((x \ y) \ z,u)) = K(x,T(y \ (x * z),u)). T(x,L(y,z,x)) = K(x,y) * x. K(x,K(y,L(z,u,x))) = K(x,K(y,z)). L(K(x,y),z * x,u) = K(L(x,z,u),L(y,w,x)). K(L(x,y,z),L(u,w,x)) = L(K(x,u),y * x,z). K(x,(y * (x / y)) \ (x * z)) = K(x,K(y \ x,y) * z). K(x,y) = R(K(x,y),z,x). R(K(x,y),z,x) = K(x,y). K((x \ y) \ T(y,x),z) = K(x,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,x \ y),z) = K(T(x,y),z). T(R(x,y,x),z) = R(x,y,x) * K(x,z). R(x,y,x) * K(x,z) = T(R(x,y,x),z). T(x,y) = x * K(R(x,z,x),y). x * K(R(x,y,x),z) = T(x,z). 1 / K(x,y) = K(y,R(x,z,x)). K(x,R(y,z,y)) = 1 / K(y,x). K(x,y) * (R(x,z,x) * u) = R(T(x,y),z,x) * u. K(x,y) * (x \ R(x,z,x)) = x \ R(T(x,y),z,x). K(x,y) * (z * x) = (K(x,y) * z) * x. (K(x,y) * z) * x = K(x,y) * (z * x). x != R(K(y,z / (u / w)),z,w) | x = K(y,(z * w) / u). K(x,y / (z / x)) = K(x,(y * x) / z). K(x,(y * x) / z) = K(x,y / (z / x)). x != R(K(y,z),z * u,w) | x = K(y,R(z,u,w)). K(x,y) = K(x,R(y,z,x)). K(x,R(y,z,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). T(x,R(y,z,x)) = x * K(x,y). K(x,K(y,R(z,u,x))) = K(x,K(y,z)). R(x / y,z,y \ x) = R(x / y,z,x / y). R(x / y,z,x / y) = R(x / y,z,y \ x). R(x,y,(x \ z) \ z) = R(x,y,x). 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). 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 * y != T(z,u * K(z,w)) | x \ T(z,u) = y. x \ T(x,y) = K(x,y * K(x,z)). K(x,y * K(x,z)) = x \ T(x,y). (x * K(y,z)) * L(T(y,x),u,w) = L(y,u,w) * (x * K(y,z)). T(x * K(y,z),L(T(y,x),u,w)) = T(x * K(y,z),L(y,u,w)). T(x,y) = T(x,y * K(z,x)). T(x,y * K(z,x)) = T(x,y). T(x,y \ K(x,z)) = T(x,y \ 1). T(x,y / x) = T(x,y / T(x,z)). T(x,y / T(x,z)) = T(x,y / x). T(x,y * T(x,z)) = T(x,y * x). T(x,y / (x \ z)) = T(x,y / (z / x)). T(x,y / (z / x)) = T(x,y / (x \ z)). T(x,y * L(K(x,z),u,w)) = T(x,y). T(x,y \ z) = T(x,y \ T(z,x)). T(x,y \ T(z,x)) = T(x,y \ z). T(x,y \ T(x,z)) = T(x,y \ x). T(x,y * (x * z)) = T(x,y * (z * x)). T(x,y * (z * x)) = T(x,y * (x * z)). L(x,y,z) \ L(T(x,u),y,z) = K(L(x,y,z),u * K(w,x)). K(L(x,y,z),u * K(w,x)) = L(x,y,z) \ L(T(x,u),y,z). K(x,y) * (z * K(y,u)) = (K(x,y) * z) * K(y,u). (K(x,y) * z) * K(y,u) = K(x,y) * (z * K(y,u)). x != y / K(z,y) | x = T(y,z). T(x,L(y,z,y)) = T(x,y). x != y / K(z,u) | x = y * K(u,z). T(x,L(y,z,y)) = x * K(x,y). T(x,L(y,z,y)) != u | T(x,y) = u. L(x,y,x) \ z = T(z / L(x,y,x),x). T(x / L(y,z,y),y) = L(y,z,y) \ x. T(x,T(y / z,y)) = T(x,z \ y). T(x,y) = T(x,R(y,z,y)). T(x,R(y,z,y)) = T(x,y). R(x,y,x) \ z = T(z / R(x,y,x),x). T(x / R(y,z,y),y) = R(y,z,y) \ x. T(x / y,R(y,z,y)) = y \ x. R(x,y,x) * T(z,x) = z * R(x,y,x). T(x,T(y,y \ z)) = T(x,T(y,z)). T(x,(y * z) / y) = T(x,y / (y / z)). x != K(y,z) * y | x = T(y,z). T(x,L(y,z,x)) = T(x,y). T(x,(x * y) \ z) = T(x,y \ (x \ z)). T(x,y \ (x * z)) = T(x,(x \ y) \ z). T(x,(x \ y) \ z) = T(x,y \ (x * z)). x * y != z * K(R(z,u,z),w) | x \ T(z,w) = y. R(x,y,x) \ T(x,z) = R((z * x) / z,y,x) \ x. R((x * y) / x,z,y) \ y = R(y,z,y) \ T(y,x). K(x,R(y,z,y)) = K(x,y). K(x,R(y,z,y)) != u | K(x,y) = u. R(K(x,y),z,y) = K(x,y). K(x,T(y,z)) = K(x,T(y,y * z)). K(x,T(y,y * z)) = K(x,T(y,z)). K(x,T(y,y \ z)) = K(x,T(y,z)). R(x,y,x) * K(z,x) = R(x * K(z,x),y,x). R(x * K(y,x),z,x) = R(x,z,x) * K(y,x). K(x,y) * (z * y) = (K(x,y) * z) * y. (K(x,y) * z) * y = K(x,y) * (z * y). T(x,R(y,z,x)) = T(x,y). T(x,(y * x) / z) = T(x,y / (z / x)). T(x,T((y * x) / z,u)) = T(x,T(y / (z / x),u)). T(x,T((y * x) / z,z / x)) = T(x,(z / x) \ y). K(x,L(y,z,y)) = K(x,y). L(K(x,y),z,y) = K(x,y). K(x,T(y / z,y)) = K(x,z \ y). (x * y) * K(z,x) = x * (y * K(z,x)). K(L(x,y,z),z) = K(x,z). K(x \ (y \ z),y) = K((y * x) \ z,y). K((x * y) \ z,x) = K(y \ (x \ z),x). K((x \ y) \ z,x) = K(y \ (x * z),x). K(L(L(x,y,z),u,w),z) = K(L(x,u,w),z). T(x * K(y,x),L(y,z,x)) = x. K((x * (y / x)) \ (y * z),y) = K(K(x \ y,x) * z,y). R(x,y,x) * (x \ z) = (z / x) * R(x,y,x). R(x,y,x) * (K(z,R(x,y,x)) * (x \ u)) = K(z,R(x,y,x)) * ((u / x) * R(x,y,x)). K(x,R(y,z,y)) * ((u / y) * R(y,z,y)) = R(y,z,y) * (K(x,R(y,z,y)) * (y \ u)). K(T(x,y),z) = K((x \ y) \ y,z). K((x \ y) \ y,z) = K(T(x,y),z). K(T(x,y * x),z) = K(T(x,y),z). K(x,y * K(x,z)) = K(x,y). K(x,y * K(x,z)) != u | K(x,y) = u. K(x,K(y,x * K(y,z))) = 1. K(x,y) = K(x,y * K(z,x)). K(x,y * K(z,x)) = K(x,y). K(x,y \ 1) = K(x,y \ K(z,x)). K(x,y \ K(z,x)) = K(x,y \ 1). K(x,y / (x \ z)) = K(x,y / (z / x)). K(x,y / (z / x)) = K(x,y / (x \ z)). K(x,y * L(K(x,z),u,w)) = K(x,y). K(x,y \ T(x,z)) = K(x,y \ x). K(x,T(y,z)) = K(x,T(K(u,x) * y,z)). K(x,T(K(y,x) * z,u)) = K(x,T(z,u)). K(x,y) * K(y * T(x,z),x) = x \ R(x,y * K(x,z),x). x \ R(x,y * K(x,z),x) = K(x,y) * K(y * T(x,z),x). 1 / K(x,y) = K(y * K(z,x),x). K(x * K(y,z),z) = 1 / K(z,x). R(K(x,y),y * K(z,x),u) = K(x,y * K(z,x)). K(x,y \ T(y * z,x)) = K(x,z). (x \ K(x,y)) * (T(x,x \ 1) * z) = (K(x,y) / x) * (x * z). K(x,T(y,z / T(y,u))) = T(K(x,y),z). T(x,(x \ y) * T(x,z)) = T(x,y). T(x,y) / T(y,y \ x) = y \ T(x,y). T(x,T(x,y) / z) = T(x,z \ x). T(x,T(y,z)) = T(x,(y \ z) \ z). T(x,(y \ z) \ z) = T(x,T(y,z)). K(x,T(y,y \ z)) != u | K(x,T(y,z)) = u. R(K(x,y),z,y) != u | K(x,y) = u. K(x,T(y,L(y,z,u) * w)) = K(x,T(y,L(y,z,u) * (y \ w))). K(x,T(y,L(y,z,u) * (y \ w))) = K(x,T(y,L(y,z,u) * w)). K(x,T(y,z \ y)) = K(x,T(y,z \ 1)). K(x,T(y,z \ 1)) = K(x,T(y,z \ y)). K(x,T(y,z * y)) = K(x,T(y,z)). x != K(y,T(z,z \ u)) | x = T(K(y,z),u). K(x,T(y,z)) = T(K(x,y),z). K(x,(y \ z) \ z) = K(x,T(y,z)). K(x,T(y * z,y \ 1)) = K(x,T(y * z,z)). K(x * y,x) = T(K(x * y,x),y). T(K(x * y,x),y) = K(x * y,x). x != T(K(y,(z / (y * u)) \ 1),w) | x = R(T(K(y,(z / u) \ y),w),y,u). K(x,T((y / (x * z)) \ 1,u)) = R(T(K(x,(y / z) \ x),u),x,z). R(T(K(x,(y / z) \ x),u),x,z) = K(x,T((y / (x * z)) \ 1,u)). x != T(K(y,R(z,u,w)),v5) | x = R(T(K(y,z),v5),z * u,w). K(x,T(R(y,z,u),w)) = R(T(K(x,y),w),y * z,u). R(T(K(x,y),z),y * u,w) = K(x,T(R(y,u,w),z)). x != T(K(y,(z \ u) \ 1),w) | x = L(T(K(y,u \ z),w),u \ z,v5). K(x,T((y \ z) \ 1,u)) = L(T(K(x,z \ y),u),z \ y,w). L(T(K(x,y \ z),u),y \ z,w) = K(x,T((z \ y) \ 1,u)). x != T(K(y,z \ (u * w)),v5) | x = L(T(K(y,(u \ z) \ w),v5),w,u). K(x,T(y \ (z * u),w)) = L(T(K(x,(z \ y) \ u),w),u,z). L(T(K(x,(y \ z) \ u),w),u,y) = K(x,T(z \ (y * u),w)). x != T(K(y,z),u) | x = (K(z,y) * u) \ u. K(x,T(y,z)) = (K(y,x) * z) \ z. (K(x,y) * z) \ z = K(y,T(x,z)). x != T(K(y,z),u) | x = (K(y,z) \ u) \ u. K(x,T(y,z)) = (K(x,y) \ z) \ z. (K(x,y) \ z) \ z = K(x,T(y,z)). x != T(K(y,z),u) | x = K(y,z) * K(u,K(z,y)). K(x,T(y,z)) = K(x,y) * K(z,K(y,x)). K(x,y) * K(z,K(y,x)) = K(x,T(y,z)). x != T(K(y,z),u) | x = K(u,K(z,y)) * K(y,z). K(x,T(y,z)) = K(z,K(y,x)) * K(x,y). K(x,K(y,z)) * K(z,y) = K(z,T(y,x)). x != T(K(y \ 1,z),u) | x = K(T(y,u) \ 1,z). K(x \ 1,T(y,z)) = K(T(x,z) \ 1,y). K(T(x,y) \ 1,z) = K(x \ 1,T(z,y)). x != T(K(y,z \ 1),u) | x = K(y,T(z,u) \ 1). K(x,T(y \ 1,z)) = K(x,T(y,z) \ 1). K(x,T(y,z) \ 1) = K(x,T(y \ 1,z)). 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 = 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 \ K(y,z),u),z) | x = K(y \ 1,u). K(x \ K(x,y),T(z,y)) = K(x \ 1,z). x != T(K(y,z),K(y,u)) | x = K(y,z). K(x,T(y,K(x,z))) = K(x,y). x != T(K(y / z,u),y) | x = K(z \ y,u). K(x / y,T(z,x)) = K(y \ x,z). x != T(K(y,z),T(T(y,u),w)) | x = K(y,z). K(x,T(y,T(T(x,z),u))) = K(x,y). x * K(y,T(z,u)) = x * T(K(y,z),u). K(x,T(T(y,z),u)) = T(K(x,T(y,u)),z). x * K(y,T(z,x)) = K(y,z) * x. x * K(y,T(z,x)) != u | K(y,z) * x = u. x * L(K(y,T(z,x)),u,w) = L(K(y,z),u,w) * x. x * (y * K(z,T(u,x * y))) = L(K(z,u),y,x) * (x * y). L(K(x,T(y,z \ u)),z \ u,z) != w | u \ (z * (K(x,y) * (z \ u))) = w. T(x,K(y,T(z,x))) = T(x,K(y,z)). T(x,T(y,z)) = x * T(K(x,y),z). x * T(K(x,y),z) = T(x,T(y,z)). x * T(K(x,y),z) != u | T(x,T(y,z)) = u. K(x,y) * (K(z,u) * x) = T(x,y) * K(z,T(u,x)). K(x / y,T(z,x)) != u | K(y \ x,z) = u. K(x,y) * K(y,T(x,z)) = K(z,K(x,y)). x / K(y,T(z,x)) = K(y,z) \ x. (K(x,y) * z) * K(y,T(x,z)) = z. K(x,T(y,z)) \ T(u / (u / K(x,y)),z) = K(K(x,y) \ u,T(K(x,y),z)). T(K(x,y),y \ 1) != z | K(x,y) = z. K(x,T(y / z,y)) != u | K(x,z \ y) = u. K(x,K(y,z)) * (K(z,y) * u) = K(z,T(y,x)) * u. K(x,T(L(y,z / y,u),w)) = T(L(K(x,y),z,u),w). K(x,T((y \ 1) * ((z \ y) * z),u)) = K(x,K(z \ y,T(z,u))). K(x,K(y,T(z,u))) = T(K(x,K(y,z)),u). T(T(x,K(y,z)) * K(y,x),y) = T(x,K(y,z)). K(x,R(T(y / z,y * u),z,u)) = K(x,(z * u) \ (y * u)). x != K((y \ z) \ z,u) | x = T(K(y,u),z). K(T(x,y),z) = T(K(x,z),y). K(((x \ y) * (y \ z)) \ z,u) = K(T(R(x,x \ y,y \ z),z),u). K(T(R(x,x \ y,y \ z),z),u) = K(((x \ y) * (y \ z)) \ z,u). K(K(x,y) * z,u) = K(T(z * K(x,y),z),u). K(T(x * K(y,z),x),u) = K(K(y,z) * x,u). L(K(T(x,y),z),y,u) = K((u * (x \ y)) \ (u * y),z). K((x * (y \ z)) \ (x * z),u) = L(K(T(y,z),u),z,x). x != T(K(y,z),u) | x = K(y,T(z,u)). K(T(x,y),z) = K(x,T(z,y)). 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),K(z,u)) | x = K(y,z). K(T(x,K(y,z)),y) = K(x,y). x * K(T(y,x),z) = K(y,z) * x. (K(x,y) * z) * K(T(y,z),x) = z. K(x,K(T(y,K(x,z)),u)) = K(x,K(y,u)). x * (K(x,y) * (1 / T(T(x,y),z))) = K(x,T(T(x,y) \ (z \ 1),y)). K(x,T(y,z)) \ 1 = K(y,T(x,z)). x != K(T(y,z),u \ y) | x = K(y,T(u,z) \ T(y,z)). K(x,T(y \ x,z)) = K(x,T(y,z) \ T(x,z)). K(x,T(y,z) \ T(x,z)) = K(x,T(y \ x,z)). x != K(T(T(y,z),u),w) | x = T(T(y * K(w,y),z),u) \ T(T(y,z),u). K(T(x,y),T(z,u)) = T(T(x * K(z,x),y),u) \ T(T(x,y),u). T(T(x * K(y,x),z),u) \ T(T(x,z),u) = K(T(x,z),T(y,u)). x * y != K(T(z,u),w) | x \ K(z,T(w,u)) = y. x \ K(y,T(x,z)) = T(x,T(y,z)) \ 1. T(x,T(y,z)) \ 1 = x \ K(y,T(x,z)). K(T(x,y),T(z,u)) = K(x,T(T(z,y),u)). K(L(T(x,y),z,u),w) = K(L(x,z,u),T(w,y)). 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((x \ y) \ y,z) = K(x,T(z,x \ y)). K(T(x,y),L(y,z,u)) = K(x,L(y,z,u)). K(x,y) = K(x,T(y,R(x,z,u))). K(x,T(y,R(x,z,u))) = K(x,y). K(L((x \ y) \ y,z,u),w) = K(L(x,z,u),T(w,x \ y)). K(x,y) = K(x,T(y,R(T(x,z),u,w))). K(x,T(y,R(T(x,z),u,w))) = K(x,y). T(x,T(y,z)) = x / K(y,T(x,z)). x / K(y,T(x,z)) = T(x,T(y,z)). T(x,T(y,z)) = x * K(T(x,z),y). x * K(T(x,y),z) = T(x,T(z,y)). 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). K(x,y) = K(x,T(y,K(z,z \ x))). K(x,T(y,K(z,z \ x))) = K(x,y). x * K(T(x,y),z) != u | T(x,T(z,y)) = u. K(x,T(y,z)) \ u = K(y,T(x,z)) * u. x / K(y,T(z,u)) = x * K(z,T(y,u)). K(x,T(y,z)) * (y \ u) = T(y,T(x,z)) \ u. (x * K(y,T(z,u))) \ (x * z) = T(z,T(y,u)). 1 / (x \ K(y,T(x,z))) != u | T(x,T(y,z)) = u. 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. 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. K(x,T(y,z)) * T(x,z) = T(T(x,y),z). x \ (y * K(z,T(x,u))) = T(y / T(x,T(z,u)),x). K(x,T(y,z)) \ (y * u) != w | T(y,T(x,z)) * u = w. R(x,y,K(z,T(y,u))) = x. (x * K(y,z)) * K(u,T(y,w)) = (x * K(T(u,w),y)) * K(y,z). (x * K(T(y,z),u)) * K(u,w) = (x * K(u,w)) * K(y,T(u,z)). 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))). T(T(x,K(y,z)),y) = K(x,y) * T(x,K(y,z)). K(x,y) * T(x,K(y,z)) = T(T(x,K(y,z)),y). T(x,x * T(y,K(x,z))) * K(y,x) = L(x,T(y,K(x,z)),x). K(x,R(x,y,z) \ u) = K(x,u / R(x,y,z)). K(x,y / R(x,z,u)) = K(x,R(x,z,u) \ y). K(x / y,z \ (y \ x)) = K(x / y,z \ (x / y)). K(x / y,z \ (x / y)) = K(x / y,z \ (y \ x)). 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 \ T(y,z),z) = K(x \ y,z). R(K(x,y),x * K(z,y),u) = K(x * K(z,y),y). K(x,y) = K(x * K(y,z),y). K(x * K(y,z),y) = K(x,y). K(x \ 1,y) = K(x \ K(y,z),y). K(x \ K(y,z),y) = K(x \ 1,y). K(x * y,y) = K(x * T(y,z),y). K(x * T(y,z),y) = K(x * y,y). K(x * L(K(y,z),u,w),z) = K(x,z). K(x * K(y,T(z,u)),z) = K(x,z). K(x * L(K(y,z),u,w),y) = K(x,y). R(x * K(y,x),z,u) \ R(x,z,u) = K(R(x,z,u),y * K(x,w)). K(R(x,y,z),u * K(x,w)) = R(x * K(u,x),y,z) \ R(x,y,z). K(x * (y * K(z,u)),z) = K(x * y,z). T(x,y) = T(x,x * (y / T(x,z))). T(x,x * (y / T(x,z))) = T(x,y). ((x \ y) \ y) \ z = T(z / ((x \ y) \ y),T(x,y)). T(x / ((y \ z) \ z),T(y,z)) = ((y \ z) \ z) \ x. T(x,((y \ 1) * ((z \ 1) \ u)) \ 1) = T(x,T((z / (1 / u)) \ y,1)). 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 * K(y * x,y) = K(y * x,y) * x. K(x * y,x) * y = y * K(x * y,x). x * K(y,T(z,x)) = K(z,y) \ x. L(x,y / z,K(z \ y,u)) != w | w = x. R(K(x \ y,z),y,u) = K((y * u) / (x * u),T(z,y)). K((x * y) / (z * y),T(u,x)) = R(K(z \ x,u),x,y). T(x,T(y,T(T(x,z),u))) = K(x,y) * x. (x * y) / T(T(x,y),z) = K(z,x) * y. x * y != K(z,u) * w | x \ (w * K(z,T(u,w))) = y. x \ (y * K(z,T(x,y))) = T(x,z) \ y. x * (y * K(z,T(u,y))) = x * (K(z,u) * y). x * y != K(z,(u / x) \ 1) * x | y = K(z,(x \ u) \ 1). K(x,T((y / z) \ 1,z)) = K(x,(z \ y) \ 1). K(x,y) * z != z * u | K(x,T(y,z)) = u. x * K(y,L(T(z,x),u,w)) = K(y,L(z,u,w)) * x. x * K(y,x \ z) = K(y,z / x) * x. K(x,y / z) * z = z * K(x,z \ y). x * K(y,x \ (1 / z)) = K(y,1 / (x * z)) * x. K(x,1 / (y * z)) * y = y * K(x,y \ (1 / z)). K(x \ y,z) * K(u,y / x) = K(u,y / x) * K(x \ y,z). T(x,K(x,y) * z) = T(x,z). K(x,K(x,y) * z) = K(x,z). (x \ y) * K(z,T(x,y)) = K(z,x) * (x \ y). x * K(y,K(z,T(u,x))) = K(y,K(z,u)) * x. K(K(x,y) * z,x) = K(z,x). x != T(y,L(K(z,y),u,w)) | x = y. T(x,K(x,y) * L(K(z,x),u,w)) = x. x != T(y,K(y,z) * u) | x = (K(y,z) * u) \ (T(y,z) * u). T(x,y) = (K(x,z) * y) \ (T(x,z) * y). (K(x,y) * z) \ (T(x,y) * z) = T(x,z). T(x,y) = T(x,K(z,x) * y). T(x,K(y,x) * z) = T(x,z). T(x,T(y,x) \ z) = T(x,y \ z). T(x,y) * K(z,T(x,K(x,u) * y)) = T(x * K(z,x),K(x,u) * y). T(x,(x \ y) \ z) = T(x,(y / x) \ z). T(x,(y / x) \ z) = T(x,(x \ y) \ z). K(T(x,y),z) = K(x,T(z,K(x,u) * y)). K(x,T(y,K(x,z) * u)) = K(T(x,u),y). K(x,T(x,y) * z) = K(x,x * z). K(x,K(y,x) \ z) = K(x,z). K(x,y) = K(x,K(z,x) * y). K(x,K(y,x) * z) = K(x,z). K(x,(x \ y) \ z) = K(x,(y / x) \ z). K(x,(y / x) \ z) = K(x,(x \ y) \ z). K(x,R(K(x,y),z,u) * w) = K(x,w). K(x,y) = K(K(y,z) \ x,y). K(K(x,y) \ z,x) = K(z,x). K(x,y) = K(K(z,y) * x,y). K(K(x,y) * z,y) = K(z,y). K(x \ y,x) = K(T(x,z) \ y,x). K(T(x,y) \ z,x) = K(x \ z,x). L(K(x,y),K(y,z) * x,u) = K(K(y,z) * x,y). K(R(K(x,y),z,u) * w,x) = K(w,x). L(x,y \ (K(z,y) * u),T(y,u)) = L(x,y \ (K(z,y) * u),y). K(x,K(y,1 / z)) = K(x,K(y,K(u,y) / z)). K(x,K(y,K(z,y) / u)) = K(x,K(y,1 / u)). K(x,R(K(y,x),z,u) * w) = K(x,w). K(K(x,y) * z,x) != u | K(z,x) = 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,T(y,z) \ 1) = T(x,T(y \ 1,z)). T(x,T(y,z)) != x * u | T(K(x,y),z) = u. T(x,T(y \ 1,z)) != u | T(x,T(y,z) \ 1) = u. x * K(T(y,x),z) = K(z,y) \ x. K(x,R(T(x,y),z,u) / w) = K(x,w \ R(T(x,y),z,u)). K(x,L(L(x,y,z),u,w) / v5) = K(x,v5 \ L(L(x,y,z),u,w)). T(T(x,y),y / z) = K(x,z \ y) * T(x,y). K(x,y \ z) * T(x,z) = T(T(x,z),z / y). x * K(x \ y,z) = K(y / x,z) * x. K(x / y,z) * y = y * K(y \ x,z). x * K(y,z) = K((x * y) / x,z) * x. K((x * y) / x,z) * x = x * K(y,z). (x * (K(y,z) * u)) \ (x * u) = L(K(z,T(y,u)),u,x). K(x,T(y,z)) != u | K(T(x,z),y) = u. K(x \ 1,T(y,z)) = K(z \ (x \ z),y). K(x \ (y \ x),z) = K(y \ 1,T(z,x)). K(x / y,T(y,z)) = K(y \ x,T(y,z)). K(x / y,L(y,z,u)) = K(y \ x,L(y,z,u)). T(x / y,T(z,y)) = K(y \ x,z) * (x / y). K(x \ y,z) * (y / x) = T(y / x,T(z,x)). K(x \ y,z) * (y / x) != u | T(y / x,T(z,x)) = u. K((x * y) / x,T(z,x)) != u | K(y,z) = u. K(x,y / R(T(x,z),u,w)) = K(x,R(T(x,z),u,w) \ y). (x / (y / z)) * K(u,z \ y) != w | x / T(y / z,T(u,z)) = w. a(x,T(y,z),K(u,y)) = 1. R(x,K(y,z),L(T(z,u),w,v5)) = x. L(x,T(T(y,z),u),K(w,y)) = x. K(K(x,y) * z,T(y,u)) = K(z,T(y,u)). L(K(x,y),T(y,z),u) = K(x,y). (K(x,y) * T(T(y,z),u)) * w = K(x,y) * (T(T(y,z),u) * w). x != L(K(y * z,y),T(y,z),u) | x = (u * T(y,z)) \ (u * R(y,z,y)). K(x * y,x) = (z * T(x,y)) \ (z * R(x,y,x)). (x * T(y,z)) \ (x * R(y,z,y)) = K(y * z,y). (x * T(y,z)) * L(K(u,y),w,v5) = x * (T(y,z) * L(K(u,y),w,v5)). T(x,T(y,z) \ T(x,z)) = T(x,T(y \ x,z)). T(T(x,y),z) * K(y,x) = T(x,T(z,y)). K(x,K(y \ x,y) * z) = K(x,z * K(y \ x,y)). 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). K(x \ (y \ (z * y)),y) = K(x \ z,y). x * T(x \ K(y,z),y) = K(y,z) * K(x \ 1,y). K(x,y) * K(z \ 1,x) = z * T(z \ K(x,y),x). K(x \ L(K(y,z),u,w),y) = K(x \ 1,y). x != K(y * z,z) | x = K(z * y,z). K(x * T(y,z),y) = K(y * x,y). K(x * T(y,z),y) = K(T(y,z) * x,y). K(T(x,y) * z,x) = K(z * T(x,y),x). K(T(x,T(y,z)) * u,y) = K(x * u,y). x * K(y,x \ z) = K(z / x,y) \ x. K(x / y,z) \ y = y * K(z,y \ x). x != K(T(y,z) \ u,y) | x = K(u / T(y,z),y). K(x \ y,x) = K(y / T(x,z),x). K(x / T(y,z),y) = K(y \ x,y). x \ (((y \ x) * y) * L(T(y,z),u,w)) = K(y \ x,y) * L(T(y,z),u,w). K(x,y) = K(y * (x / T(y,z)),y). K(x * (y / T(x,z)),x) = K(y,x). T(x / T(y,z),y) = (x / T(y,z)) * K(y \ x,y). (x / T(y,z)) * K(y \ x,y) = T(x / T(y,z),y). L(K(x,y),z,x) != u | u = K(x,y). L(K(x,y),z,x) != u | K(x,y) = u. K(L(x,y,x),z) != u | K(x,z) = u. K(x,(x * y) \ z) != u | K(x,y \ (x \ z)) = u. K(T(x / (x / y),x),z) != u | K(y,z) = u. K(x,y) != z | K(R(x,u,x),y) = z. K(x,K(y,T((z * x) / u,u / x))) = K(x,K(y,(u / x) \ z)). T(x,y * K(L(x,z,u),w)) = T(x,y). K(x,y / (x \ z)) != u | K(x,y / (z / x)) = u. K(x,y \ T(x,z)) != u | K(x,y \ x) = u. K(x,y * z) = K(x,y * (z * K(u,x))). K(x,y * (z * K(u,x))) = K(x,y * z). T(K(x,y),(z * y) \ z) != u | K(x,y) = u. K(x \ T(y,z),z) != u | K(x \ y,z) = u. K(x * K(y,L(z,u,w)),z) = K(x,z). K(x * K(L(y,z,u),w),y) = K(x,y). K(x,K(R(x,y,z),u) * w) = K(x,w). K((K(x,y) * z) * u,x) = K(z * u,x). K(K(R(x,y,z),u) * w,x) = K(w,x). K(x,K(y,R(x,z,u)) * w) = K(x,w). K(x * y,x) != z | K(y * x,x) = z. T(K(x,y),z) != u | K(T(x,z),y) = u. T(x,L(x,y,z) * (z * y)) = T(x,z * (y * x)). L(T(x,y),z,u) \ L(x,z,u) = K(y * K(L(x,w,v5),v6),L(x,z,u)). K(x * K(L(y,z,u),w),L(y,v5,v6)) = L(T(y,x),v5,v6) \ L(y,v5,v6). K(x * L(y,z,u),y) = K(L(y,z,u) * x,y). K(L(x,y,z) * u,x) = K(u * L(x,y,z),x). K((L(x,y,z) \ u) * L(x,y,z),x) = K(u,x). K(x,y) = K(K(L(y,z,u),w) * x,y). K(K(L(x,y,z),u) * w,x) = K(w,x). K(x \ L(T(y,z),u,w),y) = K(x \ L(y,u,w),y). K(x,R(x,y,z) * u) = K(x,u * R(x,y,z)). K(x,R(x,y,z) \ u) = K(x,T(R(x,y,z),w) \ u). K(x,T(R(x,y,z),u) \ w) = K(x,R(x,y,z) \ w). K(x,R(T(x,y),z,u) * w) = K(x,R(x,z,u) * w). K(R(x,y,z) * u,x) = K(u * R(x,y,z),x). K(x * y,z) = K(T(x,R(z,u,w)) * y,z). K(T(x,R(y,z,u)) * w,y) = K(x * w,y). K(x,(x \ y) \ (x \ z)) = K(x,y \ z). x != K(y,(y * z) \ u) | x = K(y,(z * y) \ u). K(x,y \ (x \ z)) = K(x,(y * x) \ z). K(x,(y * x) \ z) = K(x,y \ (x \ z)). x != K(y,(y * z) \ u) | x = (((y \ (u / z)) * y) * z) \ u. K(x,y \ (x \ z)) = (((x \ (z / y)) * x) * y) \ z. (((x \ (y / z)) * x) * z) \ y = K(x,z \ (x \ y)). K(x,L(y,x \ 1,x) \ z) = K(x,((x \ 1) * y) \ (x \ z)). K(x,((x \ 1) * y) \ (x \ z)) = K(x,L(y,x \ 1,x) \ z). (x * ((y / z) / x)) * z = y * K(x,z \ (x \ y)). L(K(x,y \ (x \ (z \ u))),z \ u,z) = K(x,(z * (x * y)) \ u). L(x,y,x) * K(x,z) = L(T(x,z),y,x). x * y != K(z,u) * L(z,w,z) | x \ L(T(z,u),w,z) = y. x \ L(T(x,y),z,x) = K(x,y) * (x \ L(x,z,x)). K(x,y) * (x \ L(x,z,x)) = x \ L(T(x,y),z,x). T(x,y) \ L(T(x,y),z,x) = x \ L(x,z,x). R(x,y,x) * K(x,z) = R(T(x,z),y,x). L(x,y,K(x,z)) = x. x != K(y,z) * (u * y) | x = T(y,z) * T(u,y). (K(x,y) * z) * x = T(x,y) * T(z,x). L(x \ 1,x,K(x,y) * z) = (K(x,y) * (z * x)) \ (K(x,y) * z). (K(x,y) * (z * x)) \ (K(x,y) * z) = L(x \ 1,x,K(x,y) * z). L(T(x,y),z,K(x,u)) = T(x,y). (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(y,u)). L(K(x,y),z,K(y,u)) = K(x,y). K(x,y) = L(K(x,y),z,K(x,u)). L(K(x,y),z,K(x,u)) = K(x,y). L(x,y,R(K(x,z),u,w)) = x. L(x,y,K(R(x,z,u),w)) = x. (K(R(x,y,z),u) * (w * x)) / (w * x) = R(K(R(x,y,z),u),w,L(x,w,K(R(x,y,z),u))). R(K(R(x,y,z),u),w,L(x,w,K(R(x,y,z),u))) = (K(R(x,y,z),u) * (w * x)) / (w * x). (K(x,y) * z) * K(u,T(x,w)) = K(x,y) * (z * K(u,T(x,w))). x != L(K((K(y,z) * u) \ w,v5),w,K(z,y)) | x = K(u \ (K(z,y) * w),v5). K((K(x,y) * z) \ u,y) = K(z \ (K(y,x) * u),y). K(x,y) = K(x,L(y,z,K(x,u))). K(x,L(y,z,K(x,u))) = K(x,y). K(x,L(L(y,z,K(x,u)),w,v5)) = K(x,L(y,w,v5)). K(x,y \ (K(x,z) * u)) = K(x,(K(z,x) * y) \ u). K(x,(K(y,x) * z) \ u) = K(x,z \ (K(x,y) * u)). x != R(T(y,z),y \ z,y) | x = (y \ z) \ z. R(T(x,y),x \ y,T(x,z)) = (x \ y) \ y. R(T(x,y),z,x) \ T(T(x,y) * z,T(x,y)) = T(z,T(x,y)). R(x,y,T(x * K(z,x),u)) = R(T(x * K(z,x),z),y,x * K(z,x)). R(T(x * K(y,x),y),z,x * K(y,x)) = R(x,z,T(x * K(y,x),u)). K(x,R(T(y,z),u,y)) = K(x,T(y,z)). K(x,T(R(y,z,y),u)) = K(x,T(y,u)). 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 * (R(x,y,x) \ z) = (z / R(x,y,x)) * x. (x / R(y,z,y)) * y = y * (R(y,z,y) \ x). K(x * (R(y,z,y) \ u),y) = K(x * (u / R(y,z,y)),y). K(x * (y / R(z,u,z)),z) = K(x * (R(z,u,z) \ y),z). ((x * y) / x) \ (z * y) = T((z / (y * K(x,y))) * y,x / (x / y)). T((x / (y * K(z,y))) * y,z / (z / y)) = ((z * y) / z) \ (x * y). T(x,(y * x) \ z) = T(x,T(y,x) \ (x \ z)). T(x,T(y,x) \ (x \ z)) = T(x,(y * x) \ z). L(x,y,K(z,x)) = x. x * y != K(z,x) * (u * x) | T(K(z,x) * u,x) = y. T(K(x,y) * z,y) = K(x,y) * T(z,y). K(K(x,y) * z,y) * T(y,K(x,y) * (z * y)) = L(y,K(x,y) * z,y). L(x,y,z) = L(L(x,y,z),u,K(w,x)). L(L(x,y,z),u,K(w,x)) = L(x,y,z). K(x,y) = L(K(x,y),z,K(u,y)). L(K(x,y),z,K(u,y)) = K(x,y). K(L(x,y,K(z,u)),u) = K(x,u). T(x,L(y,z,K(u,x))) = (K(y,x) / x) \ 1. x != T(y,z / (u / y)) | x = T(y,z / (y \ u)). T(x,(y * x) / z) = T(x,y / (x \ z)). T((x * y) / T(x,z),x) = y * K(z,x). 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)). L(x,y,z) * (u * K(w,x)) = (L(x,y,z) * u) * K(w,x). (L(x,y,z) * u) * K(w,x) = L(x,y,z) * (u * K(w,x)). R(x,y,T(K(z,x),u)) = x. R(x,y,K(z,T(x,u))) = x. x \ (y * T(K(z,x),u)) = (x \ y) * T(K(z,x),u). 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 != K((y * z) \ u,y) | x = K((y / (z \ 1)) \ u,y). K(x \ (y \ z),y) = K((y / (x \ 1)) \ z,y). K((x / (y \ 1)) \ z,x) = K(y \ (x \ z),x). x != K((y * z) \ u,y) | x = K((z * y) \ u,y). K(x \ (y \ z),y) = K((x * y) \ z,y). K((x * y) \ z,y) = K(x \ (y \ z),y). K(x \ y,z) = K((z \ x) \ (z \ y),z). K((x \ y) \ (x \ z),x) = K(y \ z,x). x * K(y \ (z \ x),z) = y * ((z \ (y \ x)) * z). L(x * K(y \ (x * z),x),u,w) / L(x,u,w) = K((x \ y) \ z,L(x,u,w)). x != K(y,z / (u / y)) | x = K(y,(z * y) / u). K(x,y / (x \ z)) = K(x,(y * x) / z). K(x,(y * x) / z) = K(x,y / (x \ z)). K(x,T(y,z)) = K(x,T(K(x,u) * y,z)). K(x,T(K(x,y) * z,u)) = K(x,T(z,u)). K(x,T(T(x,y) \ z,u)) = K(x,T(x \ z,u)). K(x,T(y,z)) = T(K(x,y),z * T(y,u)). T(K(x,y),z * T(y,u)) = K(x,T(y,z)). T(x * y,x) / T(x,y) = x \ T(x * y,x). 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)). x != K(y,z) * K(z,T(y,u)) | x = K(y * u,K(y,z)). K(x,K(y,z)) = K(y * x,K(y,z)). K(x * y,K(x,z)) = K(y,K(x,z)). K(x,K(y,z)) * T(z,y) = T(z,T(y,x)). x != K(y * z,K(y,u)) | x = K(z * y,K(y,u)). K(x,K(y,z)) = K(x * y,K(y,z)). K(x * y,K(y,z)) = K(x,K(y,z)). K(x,K(y,z)) = K(y \ x,K(y,z)). K(x \ y,K(x,z)) = K(y,K(x,z)). K(x * y,K(x,z)) != u | K(y,K(x,z)) = u. R(x,y,z) * (x \ K(u,T(x,w))) = T(x,T(u,w)) \ R(x,y,z). K(T(T(x,y),z),u) = K(x,T(T(u,y),z)). x != K((y \ z) \ z,u) | x = K(y,T(u,z)). K(x,T(y,x \ z)) = K(x,T(y,z)). K(x,T(y,x \ z)) = T(K(x,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,R(T(y,x \ z),u,w)) = K(x,T(R(y,u,w),z)). T(x,T(y,x \ z)) = x * K(x,T(y,z)). R(K(x,T(y,z)),x * u,w) = K(R(x,u,w),T(y,x \ z)). K(x,(x * y) \ z) = K(x,T(z / (x * y),y)). K(x,T(y / (x * z),z)) = K(x,(x * z) \ y). (x * y) * K(x,T(z,y)) = K(x,z) * (x * y). K(R(T(x,y),z,u),L(y,w,v5)) = K(R(x,z,u),L(y,w,v5)). K(x,y) * T(x,T(z,y)) = T(T(x,y),z). x * y != K(z,T(u,w)) * T(z,w) | x \ T(T(z,w),u) = y. K(x,y) \ T(T(x,y),z) = T(x,T(z,y)). T(x,T(y,z)) \ T(T(x,z),y) = K(x,z). K(x,y) * T(T(y,z),x) = T(y,T(z,x)). K(x * (y / T(z,u)),u) = K(x * (y / z),u). K(x * (y \ z),u) = K(x * (y \ T(z,u)),u). K(x * (y \ T(z,u)),u) = K(x * (y \ z),u). K(x * (y / R(z,u,z)),z) = K(x * (y / T(z,u)),z). K(x * (K(y,z) * u),y) = K(x * u,y). T(x,K(y,y * x)) = x. T(x / y,K(y,x)) = x / y. T(x,T(y,T(T(x,z),u))) = T(x,y). T(x * K(y,x),T(z,T(x,u))) = T(x * K(y,x),z). (x * L(y,z,y)) / T(T(x,y),u) = K(u,x) * L(y,z,y). K(x,(y / z) \ 1) * y = y * K(x,y \ z). (T(x,y) * z) / T(x,z) = K(x,y) * z. x != T(y,(y \ z) \ u) | x = T(y,z \ (y * u)). T(x,(y / x) \ z) = T(x,y \ (x * z)). x != K(T(y,z),u) | x = K(y,T(u,z)). K(x,T(y,K(x,z) * u)) = K(x,T(y,u)). x != K(y,(y \ z) \ u) | x = K(y,z \ (y * u)). K(x,(y / x) \ z) = K(x,y \ (x * z)). T(x,(y * z) \ z) = T(x,T(y \ 1,z)). T(x,T(y \ 1,z)) = T(x,(y * z) \ z). K(x,y * K(z,R(x,u,w))) = K(x,y). K(x,y / (z / R(x,u,w))) = K(x,y / (R(x,u,w) \ z)). x != K(y \ 1,T(z,u)) | x = K(T(y,u) \ 1,z). K(x \ (y \ x),z) = K(T(y,x) \ 1,z). K(T(x,y) \ 1,z) = K(y \ (x \ y),z). T(x / y,T(y,z)) = (x / y) * K(y \ x,T(y,z)). (x / y) * K(y \ x,T(y,z)) = T(x / y,T(y,z)). K(x * y,T(x,z)) = K(T(x,u) * y,T(x,z)). K(T(x,y) * z,T(x,u)) = K(x * z,T(x,u)). 1 / T(x,T(y,z)) = K(x,z) / T(T(x,z),y). K(x,y) / T(T(x,y),z) = 1 / T(x,T(z,y)). 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,z) \ x = y * K(z,y \ x). K(x / y,z * (y * (x / y))) = K(x / y,z * x). x != K(y,(z * y) \ 1) | x = z * (y * ((z \ 1) / y)). K(x,y \ (x \ 1)) = y * (x * ((y \ 1) / x)). x * (y * ((x \ 1) / y)) = K(y,x \ (y \ 1)). K(x,L(x \ y,x,z)) = K(x,z \ (x \ (z * y))). K(x,L(T(y,x),x,z)) = K(x,z \ (x \ (z * (y * x)))). K(x,y \ (x \ (y * (z * x)))) = K(x,L(T(z,x),x,y)). K(x,y \ (x \ (y * z))) != u | L(K(x,x \ z),z,y) = u. L(T(x,y),z,x) \ u = K(y,x) * (L(x,z,x) \ u). K(x,y) * (L(y,z,y) \ u) = L(T(y,x),z,y) \ u. L(x,y,x) * K(x,R(z \ 1,u,w) \ 1) = L(x * R(K(x,z),u,w),y,x). T(x,y) * (x \ R(x,z,x)) = R(T(x,y),z,x). x * y != R(z,u,z) * K(z,w) | x \ R(T(z,w),u,z) = y. T(x,y) \ R(T(x,y),z,x) = x \ R(x,z,x). x * y != T(x,z) * T(u,x) | T(K(x,z) * u,x) = y. T(K(x,y) * z,x) = K(x,y) * T(z,x). (T(x,y) * (x \ z)) * x = T(x,y) * T(z,x). T(x,y) * K(y,z) = T(x * K(y,z),y). T(x * K(y,z),y) = T(x,y) * K(y,z). K(x,y) * T(K(x,y) \ z,x) = T(z,x). T(x \ R(x,y,x),y) = K(x,y) * T(K(x * y,x),y). K(x,y) * T(K(x * y,x),y) = T(x \ R(x,y,x),y). T(x / T(y,z),y) = (y \ x) * K(z,y). x != K(y \ (z \ (u * z)),z) | x = K(y \ u,z). K((x * y) \ (z * y),y) = K(x \ z,y). L(x * K(y \ (x \ z),x),u,w) / L(x,u,w) = K((y * x) \ z,L(x,u,w)). K(x \ (y * z),z) = K((z \ x) \ y,z). K((x \ y) \ z,x) = K(y \ (z * x),x). T(x,T(y,T(z,x))) = T(x,T(y,z)). K(x,T(y,T(z,x))) = K(x,T(y,z)). K(x,T(y,T(z,R(x,u,w)))) = K(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)). K(x,T(y,x \ z)) = K(x,T(y,z / x)). K(x,T(y,z / x)) = K(x,T(y,x \ z)). K(x \ y,T(z,(x \ y) \ T(y,x))) = K(x \ y,T(z,x * K(y,x))). T(x,T(y,x \ z)) = T(x,T(y,z)). T(x,T(y,x \ z)) != u | T(x,T(y,z)) = u. T(x,T(y,x \ y)) = T(x,y). T(x * y,T(z,y \ 1)) = T(x * y,T(z,x)). L(x,y,z) \ L(T(x,T(u,w)),y,z) = K(L(x,y,z),T(u,x \ w)). T(x,T(x * y,y)) = T(x,x * y). T(x,T(y,y / x)) = T(x,y). T(K(x,y) * z,T(z,K(y,x))) = T(K(x,y) * z,z). L(T(x,T(y,z)),K(x,z),z * x) = (x * z) \ ((T(x,y) * z) * x). 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). T(x,(y * (1 / x)) \ z) = T(x,R(y,x \ 1,x) \ (x * z)). T(x,R(y,x \ 1,x) \ (x * z)) = T(x,(y * (1 / x)) \ z). K(x,T(y,z)) = K(x,T(y,K(u,x) * z)). K(x,T(y,K(z,x) * u)) = K(x,T(y,u)). K((x * y) \ y,z) = K(y \ (x \ y),z). x != y * K(z,y \ u) | x = u / T(y \ u,z). T(x / y,z) \ x = x / T(y \ x,z). x / T(y \ x,z) = T(x / y,z) \ x. T(x,y) * K(z,y) = T(x * K(z,y),y). T(x * K(y,z),z) = T(x,z) * K(y,z). x != K(y,z) * T(T(z,u),y) | x = T(z,T(u,y)). T(K(x,y) * T(y,z),x) = T(y,T(z,x)). T(K(x,y) * L(z,u,w),x) = K(x,y) * L(T(z,x),u,w). T(K(x \ y,x) * z,x \ y) != u | (y / x) \ (z * (x \ y)) = u. x \ (y * T(x,z)) = T(y,x) * K(x,z). 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 \ T(x * K(y,z),y) != u | K(x,y) * K(y,z) = u. K(x,T(x * K(y,z),y)) = K(x,x * K(y,z)). T(x / y,z) * y = K(z,u) * (y * T(y \ (K(z,u) \ x),z)). K(x,y) * (z * T(z \ (K(x,y) \ u),x)) = T(u / z,x) * z. x != K((y \ z) \ (y \ u),y) | x = K(z \ u,y). K(x \ ((y \ z) * y),y) = K(x \ z,y). x != K((y \ z) \ u,y) | x = K(z \ (y * u),y). K(x \ (y * z),z) = K(x \ (z * y),z). x != T(y,T(z,y \ u)) | x = T(y,T(z,u)). T(x,T(y,z / x)) = T(x,T(y,z)). x != T(y,T(z,u)) | x = y * T(K(y,z),u). T(x,T(y,z / x)) = x * T(K(x,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)). x != K(y,T(z,y \ u)) | x = T(K(y,z),u). K(x,T(y,z / x)) = T(K(x,y),z). x != K(y,T(z,y \ u)) | x = K(y,T(z,u)). K(x,T(y,z / x)) = K(x,T(y,z)). K(x,T(y,z)) = T(K(x,y),z * x). T(K(x,y),z * x) = K(x,T(y,z)). K(x,T(y,z)) = K(x,T(y,z * x)). K(x,T(y,z * x)) = K(x,T(y,z)). K(a(x,y,z),T(u,x * (y * z))) = K(a(x,y,z),T(u,(x * y) * z)). K(a(x,y,z),T(u,(x * y) * z)) = K(a(x,y,z),T(u,x * (y * z))). K(x,T(y,z \ 1)) = K(x,T(y,z \ x)). (x * y) * K(y,T(z,x)) = K(y,z) * (x * y). x != K(y,z) | x = K(L(y,u,y),z). K(x,T(y,z * x)) = K(L(x,u,x),T(y,z)). K(L(x,y,x),T(z,u)) = K(x,T(z,u * x)). x != K(y,T(z,u)) | x = T(K(y,z),u). K(x,T(y,K(z,x) * u)) = T(K(x,y),u). K(x,T(y,z * K(u,x))) = K(x,T(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). x / T((y \ x) \ x,z) = T(y,z) \ x. x / T(y,z) = T(x / (x / y),z) \ x. T(x / (x / y),z) \ x = x / T(y,z). x != T(y,T(z,u)) | x = y * K(T(y,u),z). T(K(x,y) * T(y,z),x) = y * K(T(y,x),z). (x \ (y * T(x,z))) * x != u * T(x,z) | u = T(y,x). (x \ (y * T(x,z))) * x != u * T(x,z) | T(y,x) = u. T(x \ 1,y) = T(x \ 1,T(y,x)). T(x \ 1,T(y,x)) = T(x \ 1,y). K(x,T(y \ x,T(z,y))) = K(x,T(y \ x,z)). x != T(y,T(z,z \ u)) | x = T(y,T(z,u)). T((x \ y) \ 1,x) = T((x \ y) \ 1,T(x,y)). T((x \ y) \ 1,T(x,y)) = T((x \ y) \ 1,x). T(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). K(x,T(y,z)) = K(x,T(y,z * K(x,u))). K(x,T(y,z * K(x,u))) = K(x,T(y,z)). (T(x,y) \ z) \ z = T((x \ z) \ z,y). x / T(T(y,y \ x),z) = T(y,z) \ x. T(x,y) / T(R(x,z,u),w) = T(R(x,z,u),w) \ T(x,y). x / (x / T(y,z)) = T(x / (x / y),z). T(1 / (1 / x),y) \ K(z,x) = K(z,x) / T(x,y). T(K(x,y),R(K(z,x),u,w) * v5) = T(K(x,y),v5). T(K(x,y),z * K(u,x)) = T(K(x,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,(z * K(w,x)) * u)). K(x,T(y,(z * K(u,x)) * w)) = K(x,T(y,z * w)). x / T((y \ x) \ x,z) != u | u = T(y,z) \ x. x / T((y \ x) \ x,z) != u | T(y,z) \ x = u. ((x \ y) \ y) * (T(x,y) \ y) = x * (y / T(x,y)). T(K(x,y),z * L(K(u,x),w,v5)) = T(K(x,y),z). (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) != u | K(z,T(x,y)) = u. T(K(x,y),z) != u | K(x,T(y,z)) = u. K(T(x,y),z) != u | K(x,T(z,y)) = u. K(x,T(y,x \ z)) != u | K(x,T(y,z)) = u. K(L(T(x,y),z,u),w) != v5 | K(L(x,z,u),T(w,y)) = v5. T(x,T(y,z / x)) != u | T(x,T(y,z)) = u. K(R(x / y,z,u) / w,y \ x) != v5 | K(w \ R(x / y,z,u),y \ x) = v5. K(x,R(x,y,z) / u) != w | K(x,u \ R(x,y,z)) = w. K(x / y,T(z,y)) != u | K(y \ x,z) = u. 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 * y)),y) != u | K(x \ z,y) = u. K(x,T((y \ z) \ z,u)) = K(x,T(T(y,z),u)). x != (K(y,z) / z) \ 1 | x = T(z,y). T(x,L(y,z,K(u,x))) = T(x,y). T(x,(K(y,x) * z) \ (K(y,x) * u)) = T(x,z \ u). K(x,T(y,R(x,z,u) \ w)) = K(x,T(y,w / R(x,z,u))). K(x,T(y,z / R(x,u,w))) = K(x,T(y,R(x,u,w) \ z)). K(x,T(y,z * x)) != u | K(x,T(y,z)) = u. K(x / y,L(y,z,u)) != w | K(y \ x,L(y,z,u)) = w. K(x \ T(x * y,z),T(u,x)) != w | K(x \ T(y * x,z),u) = w. K(R(x * K(y,x),y,z),T(u,y * z)) != w | K((y * z) \ ((y * x) * z),u) = w. T((x / y) * K(y,z),y) != u * K(y,z) | y \ x = u. x * (y \ K(x,z)) = (y / x) \ K(x,z). (x / y) \ K(y,z) = y * (x \ K(y,z)). ((x * (y \ K(x,z))) * (1 / K(x,z))) * (y / x) = K((y / x) \ K(x,z),K(x,z) \ (y / x)). T((x * y) / x,T(x,z)) = T(y,K(x,z)). T(x / y,z) * T(y,K(x / y,z)) = x * K(x / y,z). x != T((y * z) / y,T(y,u)) | x = T(z * y,K(y,u)) / y. T(x,K(y,z)) = T(x * y,K(y,z)) / y. T(x * y,K(y,z)) / y = T(x,K(y,z)). T(x,T(y,z)) = T(T(x,y),K(y,z)). T(T(x,y),K(y,z)) = T(x,T(y,z)). T(T(x,K(y,z)),y) = T(x,T(y,z)). T(T(x,y),K(y,z)) = x * T(K(x,y),z). T(1 / x,y) = T(1 / x,T(y,x)). T(1 / x,T(y,x)) = T(1 / x,y). L(x,T(y,T(x,z)),x) = L(x,T(y,K(x,z)),x). L(x,T(y,K(x,z)),x) = L(x,T(y,T(x,z)),x). x \ T(y,K(x,z)) = T(x \ y,K(x,z)). T(x,K(y,z)) * y = T(x * y,K(y,z)). T(x * y,K(y,z)) = T(x,K(y,z)) * y. T(T(x,1 / y),K(1 / y,z)) = x * K(x,1 / T(y,z)). T(T(x,y),K(y,z)) != u | T(x,T(y,z)) = u. x \ T(L(y,x \ 1,x),K(x,z)) = T((x \ 1) * y,K(x,z)). (x * (y * T(x,z))) \ ((x * y) * T(x,z)) = a(x,y * K(x,z),x). (x / y) * L(y,z,y) = L(y,z,y) * (y \ x). L(x,y,x) * (x \ z) = (z / x) * L(x,y,x). R(T(x / y,K(y,x)),z,x / y) = R(x / y,z,y \ x). x != y * K(z,z \ u) | x = (y / (z \ u)) * (u / z). R((x \ y) * K(x,x \ y),z,x \ y) = (R(x \ y,z,x \ y) / (x \ y)) * (y / x). (R(x \ y,z,x \ y) / (x \ y)) * (y / x) = R((x \ y) * K(x,x \ y),z,x \ y). x != R(y,z,u) * K(w,y) | x = K(w,y) * R(y,z,u). R(x * K(y,x),z,x) = K(y,x) * R(x,z,x). R(x * K(R(y \ 1,z,u) \ 1,x),w,x) = R(x,w,x) * R(K(y,x),z,u). K(x,T(y,z) \ x) = K(x,T(y \ x,z)). x != K(y,T(z,K(u,u \ y))) | x = K(y,z). K(x,T(y,K(z,z \ x)) \ x) = K(x,y \ x). x != K(y,T((z \ 1) \ u,w)) | x = K(y,T(z * u,w)). K(x,T(y \ 1,z) \ x) = K(x,T(y * x,z)). K(R(L(x,y,x),z,u),w) = K(R((y * x) / y,z,u),T(w,x * y)). K(R((x * y) / x,z,u),T(w,y * x)) = K(R(L(y,x,y),z,u),w). K(T(x,y),z) = K(R(x,y,R(x,u,w)),T(z,y * R(x,u,w))). K(R(x,y,R(x,z,u)),T(w,y * R(x,z,u))) = K(T(x,y),w). K(R(T(x,K(y,z)),u,w),z) = K(R(x,u,w),z). x != T(T(y,K(z,u)),z) | x = T(y,T(z,u)). K(x,y) * T(x,K(y,z)) = T(x,T(y,z)). K(x,K(y,z)) * T(x,y) = T(x,T(y,z)). x * T(y,z) != T(y,T(z,u)) | x = K(u,K(z,y)). K(x,K(y,z)) = K(z,K(y,x)). K(K(x,y),z) = K(x,K(y,z)). x != K(y,K(z,u)) | x = K(y * z,K(z,u)). K(x,K(y,z)) = K(z * y,K(y,x)). K(x * y,K(y,z)) = K(z,K(y,x)). (K(x,y) * z) * K(y,K(x,z)) = z * K(x,y). T(K(x,y),z) = K(y,K(x,z)) \ K(x,y). K(x,K(y,z)) \ K(y,x) = T(K(y,x),z). T(x,K(y,z)) = x * K(z,K(y,x)). x * K(y,K(z,x)) = T(x,K(z,y)). T(x,K(y,z)) = K(z,K(y,x)) * x. K(x,K(y,z)) * z = T(z,K(y,x)). K(x,K(y,z)) \ K(y,x) != u | T(K(y,x),z) = u. x * K(y,K(z,x)) != u | T(x,K(z,y)) = u. K(x,K(y,z)) \ 1 = K(z,K(x,y)). K(x,K(y,z)) != u | K(K(x,y),z) = u. K(x,K(y,z)) * K(x,y) = T(K(x,y),z). K(x,y) * K(x,K(y,z)) = T(K(x,y),z). K(x,y) * K(x,K(y,z)) = K(x,T(y,z)). K(x,K(y,z)) * K(x,y) = K(x,T(y,z)). x != K(R(y \ 1,z,u) \ 1,w) | x = R(K(y,w),z,u). K(K(R(x \ 1,y,z) \ 1,u),w) = R(K(x,K(u,w)),y,z). x != K(y,R(z,u,w) \ 1) | x = R(K(y,z \ 1),u,w). K(x,K(y,R(z,u,w) \ 1)) = R(K(K(x,y),z \ 1),u,w). R(K(K(x,y),z \ 1),u,w) = K(x,K(y,R(z,u,w) \ 1)). T(x,K(y,z)) = K(y,K(z,x)) \ x. K(x,K(y,z)) \ z = T(z,K(x,y)). K(x,y) * K(x,K(y,z)) != u | T(K(x,y),z) = u. (x * K(y,z)) * K(y,K(z,u)) = x * T(K(y,z),u). K(x,K(y,z)) != u | K(z,K(y,x)) = u. K(L(K(x,y),z,u) \ 1,w) = L(K(y,K(x,w)),z,u). (K(x,y) / z) * K(x,K(y,1 / z)) = T(K(x,y),1 / z) / z. K(K(x,y),z) = K(x,K(K(x,u) * y,z)). K(x,K(K(x,y) * z,u)) = K(K(x,z),u). K(K(x,y),z) = K(K(y,u) * x,K(y,z)). K(K(x,y) * z,K(x,u)) = K(K(z,x),u). x != K(y,K(z,u)) | x = K(u,K(z,y)). K(x,K(y,z)) = K(x,K(y,z * y)). K(x,K(y,z * y)) = K(x,K(y,z)). K(x,T(y,T(z,K(u,x)))) = K(x,T(y,z)). K(x,K(y,z)) * z = T(z,K(y,y * x)). T(x,K(y,y * z)) = K(z,K(y,x)) * x. K(x,K(y,z)) = K(y,K(x,z)). K(K(x,y),z) = K(y,K(z,x)). K(x,K(y,z)) != u | K(y,K(x,z)) = u. K(x,K(y,z)) = K(y,K(y * x,z)). K(x,K(x * y,z)) = K(y,K(x,z)). 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)). 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 * y) * K(z,K(y,u)) = x * T(y,K(z,u)). K(x,K(y,z)) * (y * u) != w | T(y,K(x,z)) * u = w. K(x,y) * K(y,K(z,x)) = T(K(x,y),z). (x * K(y,z)) \ K(y,K(x * K(y,z),z)) = (L(K(y,z),x,K(y,z)) * x) \ 1. K(x,K(y,z)) = K(y,K(x,L(z,u,K(y,w)))). K(x,K(y,L(z,u,K(x,w)))) = K(y,K(x,z)). x * K(y,K(z,x)) = T(x,K(y,z)). K(x,K(y,z)) * z = T(z,K(x,y)). K(K(x,y),z) = K(x,K(z,y)). K(K(x,y),z) = K(z,K(x,y)). x != K(K(y,z),u) | x = K(z,K(u,y)). K(x,K(y,z)) = K(x,K(z,y)). K(x,K(y,z)) != u | K(z,K(x,y)) = u. K(R(K(x,y),z,u),w) = K(y,K(R(x \ 1,z,u) \ 1,w)). K(x,K(R(y \ 1,z,u) \ 1,w)) = K(R(K(y,x),z,u),w). x * K(K(y,z),x) = T(x,K(y,z)). x != K(y,K(z,u)) | x = K(z,u) * K(u,T(z,y)). K(x,K(y,z)) = K(x,y) * K(y,T(x,z)). K(x,y) * K(y,T(x,z)) = K(x,K(y,z)). T(x,K(y,z)) = K(z,K(x,y)) * x. K(x,K(y,z)) * y = T(y,K(z,x)). x * (K(y,K(z,x)) * u) = T(x,K(y,z)) * u. (x / y) \ T(x,K(z,u)) = y * K(z,K(u,x)). x * L(K(y,K(z,x)),u,w) = T(x,L(K(y,z),u,w)). K(x,K(y,((1 / z) / (u / z)) \ 1)) * (u / z) = T(u,K(x,y)) / z. K(x,K(y,T(z,u))) = K(z,K(x,T(y,u))). K(x,y) * K(x,K(z,y)) = K(x,T(y,z)). K(x,y) * K(y,K(x,z)) = K(x,T(y,z)). K(x,K(y,z)) * K(y,x) = K(y,T(x,z)). x * K(x,K(y,z)) = T(x,K(z,y)). K(x,K(y,z)) * x = T(x,K(z,y)). x * y != K(K(z,u),w) | K(z,K(w,u)) / y = x. K(x,K(y,z)) / y = 1 / T(y,K(x,z)). K(x,K(y,z)) != u | K(y,K(z,x)) = u. K(K(x,y),z) * u != K(z,K(x,y)) | 1 = u. 1 = K(x,K(y,z)) * K(x,K(y,z)). K(x,K(y,z)) * K(x,K(y,z)) = 1. T(K(x,y),z) = K(x,y) * K(z,K(x,y)). K(x,y) * K(z,K(x,y)) = T(K(x,y),z). K(x,K(y,z)) \ u = K(x,K(y,z)) * u. K(x,K(y,z)) * (x \ u) = T(x,K(y,z)) \ u. (x / y) * K(y,K(z,u)) = x / T(y,K(z,u)). K(x,K(y,z)) * u != w | K(x,K(y,z)) \ u = w. K(x,K(y,z)) * u != w | K(x,K(y,z)) * w = u. K(x,K(y,z)) \ u != w | K(x,K(y,z)) * u = w. K(x,K(y,z)) * (x \ u) != w | T(x,K(y,z)) \ u = w. K(x,K(y,z)) != u | K(x,K(z,y)) = u. x != K(y,K(z,u / (w \ 1))) | x = K(y,K(z,u * w)). K(x,K(y / (z \ 1),u)) = K(x,K(u,y * z)). L(K(x,K(y,z)),u,w) = K(x,L(K(z,y),u,w)). K(x,(T(y,z) / u) / (y / u)) = K(x,K(z,((1 / u) / (y / u)) \ 1)). K(x,K(y,((1 / z) / (u / z)) \ 1)) = K(x,(T(u,y) / z) / (u / z)). K(x,T(K(y,z),u)) = K(x,K(z,T(y,u))). K(x,K(y,T(z,u))) = K(x,T(K(z,y),u)). x != K(y,K(z,u)) | x = K(y,K(u,z)). K(x,K(y,z * y)) = K(x,K(z,y)). x != K(y,K(z,u)) | x = K(z,K(y,u)). K(x,K(y,z * y)) = K(y,K(x,z)). K(x,K(y,z)) = K(x,K(y,z / y)). K(x,K(y,z / y)) = K(x,K(y,z)). K(x,K(a(y,z,u),(y * z) * u)) = K(x,K(a(y,z,u),y * (z * u))). K(x,K(y,y * z)) = K(x,K(y,z)). K(x,K(y,z \ y)) = K(x,K(y,z \ 1)). K(x,K(y,z \ 1)) = K(x,K(y,z \ y)). K(x,K(x * y,z)) = K(x,K(y,z)). K(x,K(y,z)) * (y * K(z,u)) = T(y * K(z,u),K(x,z)). x != y * K(z,K(u,y)) | x = T(y,K(u,z)). T(x,K(y,z)) = T(x,K(z,y)). T(x,T(y,z)) = T(T(x,y),K(z,y)). T(T(x,y),K(z,y)) = T(x,T(y,z)). (K(x,y) * z) * K(y,x) = T(z,K(x,y)). x * K(y,z) = T(K(y,z) * x,K(z,y)). T(K(x,y) * z,K(y,x)) = z * K(x,y). T(T(x,K(y,z)),K(y,z)) = x. K(x,y) * z = T(z * K(x,y),K(x,y)). T(x * K(y,z),K(y,z)) = K(y,z) * x. x != T(y \ z,K(y,u)) | x = y \ T(z,K(y,u)). T(x \ y,K(z,x)) = x \ T(y,K(x,z)). x \ T(y,K(x,z)) = T(x \ y,K(z,x)). K(x,y) * T(z,K(y,x)) = z * K(x,y). T(T(x,K(y,z)),u) != w | T(T(x,u),K(z,y)) = w. T(T(x,y),K(z,u)) != w | T(T(x,K(u,z)),y) = w. T(T(x,K(y,z)),K(y,z)) != u | u = x. T(x,K(y,z)) * K(y,z) = K(y,z) * x. T(T(x,K(y,z)),z) = T(x,T(z,y)). T(T(x,y),K(z,y)) != u | T(x,T(y,z)) = u. T(R(x,K(y,z),u),K(y,z)) = ((K(y,z) * x) * u) / (K(y,z) * u). ((K(x,y) * z) * u) / (K(x,y) * u) = T(R(z,K(x,y),u),K(x,y)). T(K(x,y),z) * z = z * K(x,y). T(x,K(y,z)) != u | u = T(x,K(z,y)). T(x,K(y,z)) != u | T(x,K(z,y)) = u. T(T(T(x,K(y,z)),u),K(y,z)) != w | T(x,u) = w. R(x,K(y,z),T(u,K(y,z))) = R(x,T(K(y,z),u),u). R(x,T(K(y,z),u),u) = R(x,K(y,z),T(u,K(y,z))). K(x,K(y,z)) * y = T(y,K(z,y \ x)). T(x,K(y,x \ z)) = K(z,K(x,y)) * x. K(x,K(y,y * z)) = K(y,K(x,z)). K(x,K(y,y \ z)) = K(x,K(y,z)). K(x,K(y / z,y)) = K(x,K(y / z,z)). K(x,K(y / z,z)) = K(x,K(y / z,y)). K(x,K(y,z)) * K(y * z,y) = K(y * z,T(y,x)). K(x,K(y,z)) = K(x,K(x \ y,z)). K(x,K(x \ y,z)) = K(x,K(y,z)). T(x,T(y,z)) * K(y,z) = K(y,z) * T(x,y). K(x,y) * (z / K(x,y)) = (K(x,y) \ z) * K(x,y). (K(x,y) \ z) * K(x,y) = K(x,y) * (z / K(x,y)). T(T(K(x,y),z),z) = K(x,y). (x * K(y,z)) / x = T(K(y,z),x). x * y != y * K(y \ z,u) | x = K(z / y,u). T(K(x \ y,z),x) = K(y / x,z). x * y != y * K(z,y \ u) | x = K(z,u / y). T(K(x,y \ z),y) = K(x,z / y). x * y != y * K(z,u \ 1) | x = K(z,u \ K(u,y)). T(K(x,y \ 1),z) = K(x,y \ K(y,z)). x * y != y * K(z \ y,u) | x = K(y / z,u). T(K(x \ y,z),y) = K(y / x,z). x * y != y * K(z,T(u,y)) | x = K(z,u). T(K(x,T(y,z)),z) = K(x,y). x * y != y * K(1 / T(z,y),u) | x = K(1 / z,u). T(K(1 / T(x,y),z),y) = K(1 / x,z). K(x \ y,z) * y = y * K(y / x,z). K(x,y \ z) * z = z * K(x,z / y). K(x,T(y,z)) * z = z * K(x,y). K(T(x,y),z) * y = y * K(x,z). x * L(K(y,z),u,w) = L(T(K(y,z),x),u,w) * x. L(T(K(x,y),z),u,w) * z = z * L(K(x,y),u,w). x * R(K(y,z),u,w) = R(T(K(y,z),x),u,w) * x. R(T(K(x,y),z),u,w) * z = z * R(K(x,y),u,w). T(K(x,1 / T(y,z)),z) = K(x,1 / y). K(x,T(T(y,z),z)) = K(x,y). K(T(x,y),T(z,y)) = K(x,z). K(x \ y,T(z,y)) = K(y / x,z). (x * K(y,z)) / x = K(y,T(z,x)). x * K(y,z) != u * x | u = K(y,T(z,x)). x * K(y,z) != u * x | K(y,T(z,x)) = u. x * R(K(y,z),u,w) = R(K(y,T(z,x)),u,w) * x. R(K(x,T(y,z)),u,w) * z = z * R(K(x,y),u,w). x / K(y,z) = K(y,T(z,x)) \ x. K(x,T(y,z)) \ z = z / K(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)). x != K(R(y,z,u),T(w,v5)) | x = K(R(T(y,v5),z,u),w). K(R(x,y,z),u) = K(R(T(x,w),y,z),T(u,w)). K(R(T(x,y),z,u),T(w,y)) = K(R(x,z,u),w). x != K(L(y,z,u),T(w,v5)) | x = K(L(T(y,v5),z,u),w). K(L(x,y,z),u) = K(L(T(x,w),y,z),T(u,w)). K(L(T(x,y),z,u),T(w,y)) = K(L(x,z,u),w). x != K(L(y,z,y),T(u,w)) | x = K(y,T(u,w * y)). K(L(x,y,x),z) = K(x,T(T(z,u),u * x)). 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,T(y,z)) = K(x,y * K(z,y)). K(x,y * K(z,y)) = K(x,T(y,z)). K((x * y) / x,z) != u | K(y,T(z,x)) = u. K(x,T(y,z)) = K(z / (z / x),y). K(x / (x / y),z) = K(y,T(z,x)). K(T(x,y),z \ y) = K(x,y / z). K(T(x,y),L(T(z,y),u,w)) = K(x,L(z,u,w)). K(T(x,y),R(T(z,y),u,w)) = K(x,R(z,u,w)). K(T(x,y),y \ z) = K(x,z / y). K(T(x,y),z) = K(x,(y * z) / y). K(x,(y * z) / y) = K(T(x,y),z). K(T(x,y),R(z,y,u)) = K(x,((y * z) * u) / (y * u)). K(x,((y * z) * u) / (y * u)) = K(T(x,y),R(z,y,u)). K(T(x,y),R(T(z,y * u),y,u)) = K(x,(y * u) \ ((y * z) * u)). K(x \ y,T(z,(y * x) / y)) = K(y / x,z). K(T(x,y \ z),y) = K(x,z / (z / y)). 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(T(x,y),T(z,y)) = T(x,y) * K(x,z). T(x,y) = x * K(T(x,z),T(y,z)). x * K(T(x,y),T(z,y)) = T(x,z). K(x,y) * K(z,y) = T(T(y,z),T(x,z)) \ y. T(T(x,y),T(z,y)) \ x = K(z,x) * K(y,x). 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). R(K(x,y),T(y,z) * u,w) = K(T(x,z),R(T(y,z),u,w)). K(x,T(y,L(z,u,x))) = K(x * K(z,x),y). K(x,K(y,z)) = K(x,K(y,x * z)). K(x,K(y,x * z)) = K(x,K(y,z)). (x / y) * T(K(y \ x,y),z) = (y \ x) * K(z,K(y,x)). K(x,K(y,z)) = K(x,K(z,x \ y)). K(x,K(y,x \ z)) = K(x,K(z,y)). x * ((x * K(y,z)) / x) = K(y,z) * x. x != T(K(y,T(z,u)),w) | x = K(y,T(T(z,w),u)). K(x / y,T(z,u)) = K(y \ x,T(T(z,y),u)). K(x \ y,T(T(z,x),u)) = K(y / x,T(z,u)). x != T(K(y,z),z * u) | x = K(y,T(z,u)). K(x / (y * z),y) = K((y * z) \ x,T(y,z)). K((x * y) \ z,T(x,y)) = K(z / (x * y),x). K(x / ((y * z) \ y),z) != u | K(((y * z) \ y) \ x,z) = u. K(x / y,z / x) != u | K(y \ x,x \ z) = u. K(x \ y,z \ y) = K(y / x,y / z). K(x / y,x / z) = K(y \ x,z \ x). K((x * y) / z,x) = K(z \ (x * y),T(x,y)). K(x \ (y * z),T(y,z)) = K((y * z) / x,y). x / K(x / y,z) = K(y \ x,z) \ x. x * y != y * K(z,u \ y) | x = K(z,y / u). K(x,T(y \ z,z)) = K(x,z / y). x * y != y * K(z,(y \ u) \ 1) | x = K(z,(u / y) \ 1). K(x,T((y \ z) \ 1,y)) = K(x,(z / y) \ 1). x * y != y * K(z,(y \ u) \ 1) | x = K(z,y / u). K(x,T((y \ z) \ 1,y)) = K(x,y / z). x * y != K(z,T(u,w)) * w | (w * K(z,u)) / y = x. (x * K(y,z)) / (y \ x) = T(y,T(z,x)). K(x,T(y,z)) * z != z * u | K(x,y) = u. (x * y) \ ((x * K(z,u)) * y) = R(T(K(z,T(u,x)),x * y),x,y). R(T(K(x,T(y,z)),z * u),z,u) = (z * u) \ ((z * K(x,y)) * u). (x * K(y,z)) * a(K(y,T(z,x)),u,u \ x) = (K(y,T(z,x)) * u) * (u \ x). 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. T(K(x,y),z) * (z / y) = (z / y) * K(x,y). R(x,K(T(y,z),u),z * K(u,y)) * z = (x * K(T(y,z),u)) * (K(u,T(y,z)) * z). (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = R(x,K(T(y,z),u),z * K(u,y)) * z. K(x,T(y * K(x,z),u)) = K(x,T(y,u)). K(x,T(y,z)) * (z * K(y,x)) = z. K(K(x,y) * z,u) * z = z * K(z * K(x,y),u). K(x \ (y \ z),T(y,z)) = K((y \ z) / x,y). K(x \ (K(y,z) * u),T(y,u)) = K((K(y,z) * u) / x,y). (K(x,T(y,z)) * u) * (u \ z) = z * R(K(x,y),u,u \ z). 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). T(K(x,y),z) \ z = z / K(x,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))). K(L(x \ y,x,z),T(u,z * x)) = K((z * y) / (z * x),u). K((x \ y) \ z,x) = K(z / (x \ y),y / (y / x)). K(x / (y \ z),z / (z / y)) = K((y \ z) \ x,y). (1 / (x \ y)) * K(y / x,z) = K(x \ y,T(z,x)) / (x \ y). K(x \ y,T(z,x)) / (x \ y) = (1 / (x \ y)) * K(y / x,z). K((x * K(y,z)) \ u,T(y,x)) = K(u / (x * K(y,z)),y). K(L((x \ y) / z,z,x),u) = K((x * z) \ y,T(u,z)). 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(x,T(T(y,z),z)) != u | K(x,y) = u. K(x,T(a(y,z,u),y * (z * u))) = K(x,((y * z) * u) / (y * (z * u))). K(x,((y * z) * u) / (y * (z * u))) = K(x,T(a(y,z,u),y * (z * u))). K(x,T(L(y,z,u),u * z)) = K(x,(u * (z * y)) / (u * z)). K(x,(y * (z * u)) / (y * z)) = K(x,T(L(u,z,y),y * z)). K(x,L(y / z,z,u)) = K(x,T((u * z) \ (u * y),z)). K(x,T((y * z) \ (y * u),z)) = K(x,L(u / z,z,y)). K(x,L(y / (y / z),u,w)) = K(x,T(L(z,u,w),y / z)). K(x,T(L(y,z,u),w / y)) = K(x,L(w / (w / y),z,u)). K(x,L(y / (z \ u),z \ u,z)) = K(x,T(u \ (z * y),z \ u)). K(x,y * K(z,y)) != u | K(T(x,z),y) = u. K(T(x / (x / y),z),u) = K(T(y,z),T(u,x)). K(T(x,x \ y),((x \ 1) * y) \ z) = K(x,z / ((x \ 1) * y)). K(T(x,y),(y * K(z,x)) \ u) = K(x,u / (y * K(z,x))). x != K(y,(z * u) / z) | x = ((z * ((y * u) / y)) / z) / ((z * u) / z). K(T(x,y),z) = ((y * ((x * z) / x)) / y) / ((y * z) / y). ((x * ((y * z) / y)) / x) / ((x * z) / x) = K(T(y,x),z). T(x,(y * z) / y) = x * K(T(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 * K(y \ (x * z),x),u) = K(x,T(u,y \ (z * x))). 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,y)) = T(x,z / y). T(x,T(y,z)) = T(x,(z * y) / z). T(x,(y * z) / y) = T(x,T(z,y)). T(x,T(T(y \ z,u),y)) = T(x,T(z / y,u)). 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). T(x,y) \ T(T(x,z),T(y,z)) = K(x,z). K(x,T(y \ (z * x),z)) = K(x,(z * x) / y). x != K(y,T(z,y * u)) | x = K(y,T(z,u)). K(x,(x * y) / z) = K(x,T(z \ (x * y),y)). K(x,T(y \ (x * z),z)) = K(x,(x * z) / y). K(x,T(y,z)) = K(x,z / (z / y)). K(x,y / (y / z)) = K(x,T(z,y)). K(x,y) * (z / K(x,y)) = T(z,K(x,y)). x != T(y,z / u) | x = T(y,z * (1 / u)). T(x,T(y \ z,y)) = T(x,z * (1 / y)). x != T(y,(z * u) / z) | x = T(y,z / (z / u)). T(x,T(y,z)) = T(x,z / (z / y)). T(x,y / (y / z)) = T(x,T(z,y)). T(x,R((y * z) / y,u,w)) = T(x,T(R(z,u,w),y)). T(x,K(y,z) \ y) = T(x,T(y,z)). T(x,(((y \ 1) \ 1) \ z) / z) = T(x,T(T(z \ (y \ z),T(y,u)),z)). T(x,T(T(y \ (z \ y),T(z,u)),y)) = T(x,(((z \ 1) \ 1) \ y) / y). x != T(y,z * K(u,z)) | x = T(y,(z \ 1) \ K(u,z)). T(x,T(y,z)) = T(x,(y \ 1) \ K(z,y)). T(x,(y \ 1) \ K(z,y)) = T(x,T(y,z)). T(x,K(y,1 / z) / z) = T(x,T(1 / z,y)). K(x,x \ y) * K(z,T(x,y)) = T(y / (y / x),z) \ x. (x * K(y,T(z,u))) * K(z,z \ u) = (x / T(u / (u / z),y)) * z. K(x,y / (y / z)) != u | K(T(x,y),z) = u. T(x,y / z) = T(x,T(z \ y,y)). T(x,T(y \ z,z)) = T(x,z / y). T(x,x / y) != z | T(x,y \ x) = z. K(K(x,y),z) != u | K(z,K(x,y)) = u. K(x,K(y,T(z,u))) != w | K(z,K(x,T(y,u))) = w. K(x,K(y,z * y)) != u | K(x,K(z,y)) = u. K(x,K(y,T(z,u))) != w | K(x,K(z,T(y,u))) = w. K(x,K(y / z,T(u,z))) != w | K(x,K(u,z \ y)) = w. K(x,y) * (z * K(y,x)) != u | T(z,K(x,y)) = u. K(x,T(y \ z,y)) != u | K(x,z / y) = u. T(K(x,T(y,z)),z) != u | K(x,y) = u. K(T(x,y),T(z,y)) != u | K(x,z) = u. K(x \ y,T(z,y)) != u | K(y / 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(L(T(x,y),z,u),T(w,y)) != v5 | K(L(x,z,u),w) = v5. K(R(T(x,y),z,u),T(w,y)) != v5 | K(R(x,z,u),w) = v5. T(K(x \ y,z),y) != u | K(y / x,z) = u. K(T(x,y),T(T(z,y),u)) != w | K(x,T(z,u)) = w. 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(T(x,y),z \ y) != u | K(x,y / z) = u. K(x,K(y,T(z,u))) \ K(y,x) = T(K(y,x),T(z,y \ u)). K(x,K(y,z)) * K(x,y) = T(K(x,y),T(z,K(y,u))). T(K(x,y),T(z,K(y,u))) = K(x,K(y,z)) * K(x,y). K(x,y) * K(x,K(y,z)) = T(K(x,y),K(u,y) \ z). T(K(x,y),K(z,y) \ u) = K(x,y) * K(x,K(y,u)). K(x,y) * K(x,K(y,z)) != u | K(x,T(y,z)) = u. K(x,y) * z != K(x,T(y,R(T(x,u),w,v5))) | 1 = z. 1 = K(x,K(y,R(T(x,z),u,w))). K(x,K(y,R(T(x,z),u,w))) = 1. K(x,y) * z != K(x,T(y,R(x,u,w))) | 1 = z. 1 = K(x,K(y,R(x,z,u))). K(x,K(y,R(x,z,u))) = 1. K(x,T(y,z)) != K(x,y) * u | K(x,K(y,z)) = u. 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,T(y,z)) != u | K(x,y) * K(x,K(y,z)) = 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)). K(K(x,y) * z,K(x,u)) = K(x,K(u,z)). K(K(x,y) * z,K(x,u)) = K(z,K(x,u)). K(x,T(y,z)) = T(K(x,y),T(z,K(u,x))). T(K(x,y),T(z,K(u,x))) = K(x,T(y,z)). x != K(y,K(z,u)) * u | x = T(u,K(y,z)). T(x,K(y,y * z)) = T(x,K(z,y)). x != K(y,K(z,u)) * u | x = T(u,K(z,y)). T(x,K(y,y * z)) = T(x,K(y,z)). T(x,K(y,z * y)) = T(x,K(z,y)). T(T(x,K(y,z)),z * y) = T(x,T(z * y,z)). T(x,K(y,y * z)) != u | T(x,K(y,z)) = u. T(x,K(y,z)) = T(x,K(y,y \ z)). T(x,K(y,y \ z)) = T(x,K(y,z)). T(x,K(y,z)) = T(x,K(y,z / y)). T(x,K(y,z / y)) = T(x,K(y,z)). x != T(y,K(z,u)) | x = T(y,K(z,z * u)). T(x,K(y,z / y)) = T(x,K(y,y * z)). K(x,y) * K(y,K(z,T(x,u))) = T(K(x,y),T(z,u)). K(x,T(y,z)) * K(y,x) = K(y,K(x,z)). K(x,K(y,z)) * K(y,x) != u | K(y,T(x,z)) = u. K(x,K(T(y,z),u)) = K(y,K(u,T(x,z))). K(x,K(y,T(z,u / x))) = K(z,K(x,T(y,u))). K(x,K(y,T(z,u))) != w | K(z,K(y,T(x,u))) = w. K(x,y) * K(y,K(z,T(x,u))) = K(x,T(y,T(z,u))). K(x,y / z) * K(x,K(u,z \ y)) = K(x,T(y / z,T(u,z))). K(x * y,x) * K(x,K(y,z)) = K(x * y,T(x,z)). x * K(y,T(x,z)) = T(x,K(y,z)) * K(y,x). T(x,K(y,z)) * K(y,x) = x * K(y,T(x,z)). R(K(x,y),z,u) \ R(T(K(x,y),w),z,u) = K(w,R(K(x,y),z,u)). K(x,K(y,T(1 / L(1 / z,u,w),v5))) = K(x,T(L(K(z,y),u,w),v5)). T(x * T(y,z),K(y,z)) = K(y,z) * (x * y). T(K(x,y) * z,K(y,x) * (z * K(x,y))) = L(z * K(x,y),K(y,x),z * K(x,y)). x \ K(x,y) = T(x \ K(x,y),K(z,x)). T(x \ K(x,y),K(z,x)) = x \ K(x,y). x * y != z * K(u,w) | x \ (z / K(w,u)) = y. K(x,y) \ (z / K(y,x)) = T(z,K(y,x)). x * K(y,z) != K(y,z) * u | T(x,K(z,y)) = u. K(x,y) * z != u * K(x,y) | T(u,K(y,x)) = z. x != K(y,K(z,u)) * z | x = T(z,K(u,y)). T(x,K(y,x \ z)) = T(x,K(y,z)). x != K(y,K(z,u)) * z | x = T(z,K(y,u)). T(x,K(y,x \ z)) = T(x,K(z,y)). x != T(y,K(z,y \ u)) | x = T(y,K(z,u / y)). T(x,K(y,z)) = T(x,K(y,z / x)). T(x,K(y,z / x)) = T(x,K(y,z)). T(x,K(y,z)) = T(x,K(y,x * z)). T(x,K(y,x * z)) = T(x,K(y,z)). T(x,K(y,z)) = T(x,K(z,y / x)). T(x,K(y,z / x)) = T(x,K(z,y)). T(x,K(y,z)) = T(x,K(y,z * x)). T(x,K(y,z * x)) = T(x,K(y,z)). x != T(y,K(z,u)) | x = T(y,K(u,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. T(T(x,K(y,z)),x * y) = T(x,T(x * y,z)). K(x,K(y \ z,y)) = K(x,K(z / y,z)). K(x,K(y,z \ K(z,x))) = K(x,K(y,z \ 1)). x != T(K(1 / y,z),u) | x = K(1 / T(y,u),z). K(1 / x,y) = K(1 / T(T(x,z),z),y). K(1 / T(T(x,y),y),z) = K(1 / x,z). K(x \ 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). K(x \ (y \ z),y) * z = z * K(z / (y * x),y). x != T(K(y,1 / z),u) | x = K(y,1 / T(z,u)). K(x,1 / y) = K(x,1 / T(T(y,z),z)). K(x,1 / T(T(y,z),z)) = K(x,1 / y). T(T(x,y),T(z,y)) != u | K(x,z) * T(x,y) = u. 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). K(x / y,z \ (x / y)) = K(y \ x,(z * y) \ x). K(x,T(y \ 1,z)) = K(x,z / (z * y)). (x * (K(y,z) * K(x,u))) * K(z,y) = T(x,T(u,K(y,z))). (x * (K(y,z) * K(x,u))) * K(z,y) != w | w = T(x,T(u,K(y,z))). (x * (K(y,z) * K(x,u))) * K(z,y) != w | T(x,T(u,K(y,z))) = w. R(K(x,y),T(y,T(z,u)) * u,w) = K(x,R(y,u * K(y,z),w)). K(x,T(T(y,z),u)) = K(x,T(T(K(w,x) * y,z),u)). K(x,T(T(K(y,x) * z,u),w)) = K(x,T(T(z,u),w)). T(x,R((y * z) / y,u,w)) = x * K(T(x,y),R(z,u,w)). T(x,(y * z) / y) != u | T(x,T(z,y)) = u. (T(T(x,y),T(z,y)) * u) / (T(K(x,y),T(x,z)) * u) = R(T(x,z),T(K(x,y),T(x,z)),u). L(x \ (y / K(z,u)),x,K(z,u)) = (K(z,u) * x) \ T(y,K(z,u)). x != T(1 / y,T(z,y)) | x = T(1 / y,z). T(1 / x,y * (1 / x)) = T(1 / x,x \ y). K(x,K(y,z)) = K(x,K(K(x,u) \ y,z)). K(x,K(K(x,y) \ z,u)) = K(x,K(z,u)). K(x,K(y,K(x,z) * u)) = K(x,K(y,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. R(x,K(y,z),T(u,K(y,w))) = R(x,K(y,z),u). x != K(y,K(z,y \ u)) | x = K(y,K(u,z)). K(x,K(y \ z,T(y,u))) = K(y,K(z,T(x,u))). T(x \ K(x,y),x) = T(x \ K(x,y),T(x,z)). T(x \ K(x,y),T(x,z)) = T(x \ K(x,y),x). K(x,K(y,y \ z)) = K(x,K(z / y,z)). K(x,K(y / z,y)) = K(x,K(z,z \ y)). T(x,1 / T(T(y,z),z)) = x / K(1 / y,x). K(x,1 / T(y,z / y)) = K(x,1 / (z / (z / y))). K(K(x,y) \ z,K(x,u)) = K(x,K(z,u)). K(x,K(y,(x \ z) \ u)) = K(x,K(y,(z / x) \ u)). K(x,K(y,(z / x) \ u)) = K(x,K(y,(x \ z) \ u)). x != K(y,K(z,z \ u)) | x = K(y,K(z,u)). K(x,K(y / z,y)) = K(x,K(z,y)). x != K(y,K(z,u)) | x = K(u,K(y,z)). K(x,K(y / z,y)) = K(y,K(x,z)). K(x,K(y,z)) = K(x,K(y \ z,z)). K(x,K(y \ z,z)) = K(x,K(y,z)). K(x,K(y,y / z)) = K(y,K(x,z)). K(x,K(y,x / z)) = K(x,K(y,z)). K(x,K(x / y,z)) = K(x,K(z,y)). K(x,K(y \ z,z)) = K(z,K(x,y)). K(x,K(y,z \ y)) = K(x,K(z,y)). K(x,K(y,x / z)) = K(x,K(z,y)). K(x,K(y,z)) = K(x,K(y,z \ x)). K(x,K(y,z \ x)) = K(x,K(y,z)). K(x,K(x / y,z)) = K(x,K(y,z)). K(x,K(y,z)) = K(x,K(z,y \ x)). K(x,K(y,z \ x)) = K(x,K(z,y)). K(x,K(x / y,z)) != u | K(x,K(y,z)) = u. K(x,K(y \ z,z)) != u | K(x,K(y,z)) = u. K(x,K(y,z \ y)) = K(x,K(y,z)). x != K(y,K(z,u \ z)) | x = K(y,K(z,u \ 1)). K(x,K(y,z)) = K(x,K(z,y \ 1)). K(x,K(y,z \ 1)) = K(x,K(z,y)). K(x,K(y,z)) != u | K(x,K(x / y,z)) = u. K(x,K(y,z \ x)) = K(z,K(x,y)). T(x,K(y,z \ x)) = x * K(x,K(z,y)). K(x,K(y,z)) = K(x,K(y,z \ 1)). K(x,K(y,z \ 1)) = K(x,K(y,z)). K(x,K(y \ 1,z)) = K(x,K(y,z)). K(x \ 1,K(y,z)) = K(y,K(x,z)). K(x,K(y,z \ 1)) = K(z,K(x,y)). K(x,K(y,1 / z)) = K(x,K(z,y)). K(x,K(y,z / (u * z))) = K(x,K(u,y)). K(x,K(y,z \ u)) = K(x,K(u \ z,y)). K(x,K(y \ z,u)) = K(x,K(u,z \ y)). K(x,K(y,z \ 1)) != u | K(x,K(y,z)) = u. K(x,K(y \ 1,z)) = K(z,K(x,y)). K(x \ 1,K(y,z)) = K(y,K(z,x)). K(x,K(y,z)) = K(x,K(y,1 / z)). K(x,K(y,1 / z)) = K(x,K(y,z)). K(x,K(y,z / u)) = K(x,K(y,u / z)). K(x,K(y,z / (u * z))) = K(x,K(y,u)). K(x,K(y,z * u)) = K(x,K(y,(u \ 1) / z)). K(x,K(y,(z \ 1) / u)) = K(x,K(y,u * z)). K(x,K(y,z)) * y = T(y,K(x,z \ 1)). T(x,K(y,z \ 1)) = K(y,K(x,z)) * x. K(x,y) * K(x,K(y,z)) = T(K(x,y),z \ 1). x * y != K(z,K(u \ 1,w)) | x \ K(z,K(u,w)) = y. (x * K(y \ 1,z)) \ K(x,K(y,z)) = (K(y \ 1,z) * x) \ 1. K(x,y * ((z \ (y \ 1)) * z)) = K(x,K(y * z,z)). K(x \ 1,K(y,z)) = K(x,K(y,z)). x * y != K(z \ 1,K(u,w)) | K(u,K(z,w)) / y = x. K(x,K(y,z)) / y = T(1 / y,K(x,z)). T(1 / x,K(y,z)) = K(y,K(x,z)) / x. K(x,K(y,z)) = K(1 / z,K(x,y)). K(1 / x,K(y,z)) = K(y,K(z,x)). K(x,K(y,1 / z)) = K(z,K(x,y)). K(x,K(y,1 / z)) != u | K(x,K(y,z)) = u. K(x,(T(y,z) / u) / (y / u)) = K(z,K(x,(u \ 1) / (y / u))). K(x,K(y,(z \ 1) / (u / z))) = K(y,(T(u,x) / z) / (u / z)). L(K(x \ 1,K(y,z)),u,w) = K(y,K(z,L(x,u,w))). K(x,K(y,(1 / z) / u)) = K(x,K(y,u * z)). x != K(1 / ((1 / y) / z),u) | x = (T(z * y,u) / y) / z. K(x,K(y,(1 / z) / u)) = (T(u * z,K(x,y)) / z) / u. (T(x * y,K(z,u)) / y) / x = K(z,K(u,(1 / y) / x)). K(1 / x,K(y,z)) != u | K(y,K(x,z)) = u. K(K(x,y) \ z,T(K(x,u),w)) = K(x,K(z,T(u,w))). x != y * K(y,K(z,u)) | x = T(y,K(u,z)). T(x,K(y,z \ x)) = T(x,K(y,z)). T(x,K(y,x / z)) = T(x,K(y,z)). T(x,K(y,z)) * K(y,z \ x) = K(y,z \ x) * x. K(1 / ((1 / x) / y),K(z,(y * x) / u)) = (T(y * x,K(z,u)) / x) / y. K(x,K(y,z / (u * z))) != w | K(x,K(y,u)) = w. K(x,K(y * z,(y \ u) \ z)) = K(x,K(u \ (y * z),z \ (y \ 1))). K(x,K(y \ (z * u),u \ (z \ 1))) = K(x,K(z * u,(z \ y) \ u)). K(x,K(y,z \ u)) != w | K(x,K(y,u \ z)) = w. K(x,K(y,z / (u * z))) != w | K(x,K(u,y)) = w. T(x,K(y,z \ 1)) = T(x,K(z,y)). T(x,K(y,z \ 1)) = T(x,K(y,z)). T(x,K(y \ 1,z)) = T(x,K(y,z)). T(x,K(y,z)) = T(x,K(z \ 1,y)). T(x,K(y \ 1,z)) = T(x,K(z,y)). T(x,K(y,z \ u)) = T(x,K(u \ z,y)). T(x,K(y \ z,u)) = T(x,K(u,z \ y)). T(x,T(y,z \ 1)) = T(T(x,y),K(y,z)). T(T(x,y),K(y,z)) = T(x,T(y,z \ 1)). T(x,K(y,z)) = T(x,K(y,1 / z)). T(x,K(y,1 / z)) = T(x,K(y,z)). K(x,y \ 1) * T(z,K(x,y)) = z * K(x,y \ 1). T(x,K(y \ 1,z)) != u | T(x,K(z,y)) = u. T(x,K(y,z)) != u | T(x,K(y,z \ 1)) = u. x != K(y,K(z,u)) / z | x = 1 / T(z,K(y,u)). T(1 / x,K(y,z)) = 1 / T(x,K(y,z)). 1 / T(x,K(y,z)) = T(1 / x,K(y,z)). x != T(y,K(z,z \ u)) | x = T(y,K(z,u)). T(x,K(y \ z,z)) = T(x,K(z,y)). T(x,K(y,z)) = T(x,K(z,z / y)). T(x,K(y,y / z)) = T(x,K(z,y)). 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,K(z,u * (w \ 1))) | x = T(y,K(z,u / w)). T(x,T(y,(z * (u \ 1)) \ 1)) = T(T(x,y),K(y,z / u)). T(T(x,y),K(y,z / u)) = T(x,T(y,(z * (u \ 1)) \ 1)). T(x,T(y,z \ 1)) != u | T(x,T(y,z)) = u. x != T(y,z) | x = y * K(y,z). T(x,T(y,z \ 1)) = x * K(x,T(y,z)). T(x,T(y,z \ 1)) != x * u | K(x,T(y,z)) = u. T(x,T(y,(z * u) \ z)) = T(x,T(y,u)). 1 / (K(x,y) * z) = T(1 / (z * K(x,y)),K(y,x)). T(1 / (x * K(y,z)),K(z,y)) = 1 / (K(y,z) * x). T(K(x,y),z \ 1) = K(x,T(y,z)). K(x,T(y,z \ 1)) = K(x,T(y,z)). (x \ 1) * K(y,T(z,x)) = K(y,z) * (x \ 1). (1 / x) * K(y,T(z,x)) = K(y,z) * (1 / x). x != K(y,T(z,u \ 1)) | x = K(y,T(z,u \ y)). K(x,T(y,z)) = K(x,T(y,z \ x)). K(x,T(y,z \ x)) = K(x,T(y,z)). x != K(y,T(z * u,z \ 1)) | x = K(y,T(z * u,u)). K(x,T(y * z,y)) = K(x,T(y * z,z)). K(x,T(y * z,z)) = K(x,T(y * z,y)). K(x,T(y,z)) = K(x,T(y,1 / z)). K(x,T(y,1 / z)) = K(x,T(y,z)). K(x,T(y,z \ u)) = K(x,T(y,u \ z)). K(x * y,T(z,y)) = K(x * y,T(z,x)). T(x * y,T(z,x)) = T(x * y,T(z,y)). T(x * y,T(z,y)) = T(x * y,T(z,x)). K(x \ y,z) = K(x \ y,T(z,y \ x)). K(x \ y,T(z,y \ x)) = K(x \ y,z). K(x,T(y,z \ y)) != u | K(x,T(y,z)) = u. K(x,T(y,z \ x)) != u | K(x,T(y,z)) = 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,T(x,u)) = K(L(x,y,z) * u,x). 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). 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). (x \ y) * K(x,K(y,z)) != u | T(x \ y,K(z,y)) = u. K(R((x * y) / x,z,u),w) != v5 | K(R(y,z,u),T(w,x)) = v5. K(L((x \ y) / z,z,x),u) != w | K((x * z) \ y,T(u,z)) = w. 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. x != K(y * K(z,y),u) | x = K(y,T(u,z)). K(x,T(y,L(z,u,x))) = K(x,T(y,z)). K(x,T(y,z \ (x * u))) = K(x,T(y,(x \ z) \ u)). K(x,T(y,(x \ z) \ u)) = K(x,T(y,z \ (x * u))). K(T(x,y \ z),y) != u | K(T(x,z),y) = u. K(x,y \ T(z * y,u)) != w | K(x,T(y * z,u) / y) = w. K(x,T((y \ x) \ z,y)) != u | K(x,z / (y \ x)) = u. K(x \ (y * z),T(y,z)) != u | K((y * z) / x,y) = u. K(((x \ y) \ y) \ y,z) != u | K(y / x,z) = u. K(L(x,y,z) \ u,x) != w | K(u / L(x,y,z),x) = w. K(T(x \ y,x),z) != u | K(y / x,z) = u. K(x \ (y * T(z,u)),T(z,y)) != w | K((y * T(z,u)) / x,z) = w. K(x,T(y \ z,z)) != u | K(x,z / y) = u. T(x,K(y,z / y)) != u | T(x,K(y,z)) = u. T(x,y * K(z,y)) != u | T(x,T(y,z)) = u. K(x / y,K(x,z)) != u | K(x,K(y,z)) = u. K(x,K(y,z \ (u \ 1))) != w | K(x,K(y,u * z)) = w. K(x,K(y,z / u)) != w | K(x,K(y,u / z)) = w. K(x,K(y,(1 / z) / u)) != w | K(x,K(y,u * z)) = w. K(x,T(y,z \ 1)) != u | K(x,T(y,z)) = u. K(x,T(y * (z \ x),y)) != u | K(x,T(y * (z \ x),z)) = u. T(x,K(y,y \ z)) != u | T(x,K(y,z)) = u. K(x,T(y,z / u)) != w | K(x,T(y,u / z)) = w. K(x,T(y,z \ u)) != w | K(x,T(y,u \ z)) = w. x != K(y,z) * (z \ u) | x = T(z,y) \ u. (x \ y) * K(z,T(x,y)) = T(x,z) \ y. (x \ L(T(x,y),z,u)) * K(w,x) = T(x,w) \ L(T(x,y),z,u). K(x,T(y,x) \ z) != u | K(x,y \ z) = u. K(x,(x \ y) \ z) != u | K(x,(y / x) \ z) = u. (K(x,y) / z) * K(u,K(y,1 / z)) = T(K(x,y) / z,K(u,y)). K(T(x,y \ x) / y,z \ x) * (x / y) = T(T(T(x,y \ x) / y,x),x / z). K(x \ y,z \ (x \ y)) * (y / x) = T(y / x,T((x * z) \ y,x)). x != T(y,z \ T(y,u)) | x = T(y,z \ y). T(x,T(y \ x,z)) = T(x,T(y,z) \ x). T(x,T(y,z) \ x) = T(x,T(y \ x,z)). (x / R(y,z,y)) * y != y * u | R(y,z,y) \ x = u. x != T(y,T(z,y) \ u) | x = T(y,z \ 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 \ 1) \ y) \ z,y) = K(x \ (y \ z),y). x != y \ T(y * z,y) | x = z * K(y * z,y). T(x * y,x) / T(x,y) = y * K(x * y,x). K(x,T(y,z \ (u * y))) = K(x,T(y,z \ u)). x != K(y,(y * z) \ u) | x = K(y,z \ (y \ u)). K(x,T(y / (x * z),z)) = K(x,z \ (x \ y)). K(x,y) * (x * z) != (x * z) * u | K(x,T(y,z)) = u. (x * y) * K(x,K(z,T(u,y))) = K(x,K(z,u)) * (x * y). K(x * (y \ ((z \ 1) \ y)),z) = K(x * (((z \ 1) \ y) / y),z). K(x * (((y \ 1) \ z) / z),y) = K(x * (z \ ((y \ 1) \ z)),y). K(x,T((y / z) \ 1,y)) = K(x,y \ z). K(x,T(y \ 1,z)) = K(x,z \ (y \ z)). x != K(y,T(z \ 1,u)) | x = K(y,u / (u * z)). K(x,y \ (z \ y)) = K(x,y / (y * z)). K(x,y / (y * z)) = K(x,y \ (z \ y)). T(T(x,y),z) \ T(T(x,y) * K(x * u,T(x,y)),z) = K(T(x,w) * u,T(T(x,y),z)). K(T(x,y) * z,T(T(x,u),w)) = T(T(x,u),w) \ T(T(x,u) * K(x * z,T(x,u)),w). (x * y) * (z * (((x * y) \ x) / z)) = x * K(z,y \ (z \ 1)). x * y != T(x,z) * T(u,x) | T(T(x,z) * (x \ u),x) = y. T(T(x,y) * (x \ z),x) = T(x,y) * (x \ T(z,x)). T(x * y,T(z,x)) != u | T(x * y,T(z,y)) = u. ((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,T(z,x)) = K(y,z) * (x * y). K(x,y) * (z * x) = z * T(x,T(y,z)). T(x,y) * T(z,x) = z * T(x,T(y,z)). K(x,y) \ (z * y) = z * T(y,T(x,z)). K(x,T(y,z)) * (z * x) = z * T(x,y). T(x,T(y,z)) * T(z,x) = z * T(x,y). K(x,y) \ (R(x,z,u) * y) = R(x,z,u) * T(y,x). x != K(y,T(z,u)) * w | x = K(z,T(y,u)) \ w. x * T(y,z) = K(z,T(y,x)) \ (x * y). K(x,T(y,z)) \ (z * y) = z * T(y,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) * ((x \ z) * x) = (x \ z) * T(x,y). x * y != z * T(u,u \ w) | (z * ((u \ w) \ w)) / y = x. (x * ((y \ z) \ z)) / T(x,y) = T(y,T(y \ z,x)). (x * T(y,z)) / T(x,y) != u | u = T(y,T(z,x)). (x * T(y,z)) / T(x,y) != u | T(y,T(z,x)) = u. (x * T(y,z \ y)) / T(x,y) = T(y,T(y * (z \ 1),x)). (x * T(y,z)) / T(x,y) = T(y,T(z * K(y,u),x)). T(x,T(y * K(x,z),u)) = (u * T(x,y)) / T(u,x). K(x * K(T(x,y),z),T(u,y)) = K(K(y,x) * T(x,z),u). K(x,T(y \ x,y \ z)) = K(x,T(y \ x,z / y)). K(x,T(y \ x,z / y)) = K(x,T(y \ x,y \ z)). x / R(y * K(z,y),u,y) = (x / R(y,u,y)) * K(y,z). K(x,(K(y \ x,y) * z) \ x) = K(x,(z * K(y \ x,y)) \ x). x != K(y,T((z \ u) \ 1,u) \ y) | x = K(y,z \ ((((z \ u) \ 1) \ z) * y)). K(x,T((y \ z) * x,z)) = K(x,y \ ((((y \ z) \ 1) \ y) * x)). K(R(x * K(y,z),u,w),z) = K(R(K(y,z) * x,u,w),z). K(R(K(x,y) * z,u,w),y) = K(R(z * K(x,y),u,w),y). T(x,y * T(z,K(x,u))) = T(x,y * z). x \ T(x * y,K(z,u)) = y * K(z,K(u,x * y)). K(x,K(y,z)) * ((K(x,u) * z) \ w) = T(K(x,u) * z,K(x,y)) \ w. K(x,K(y / (z \ 1),u)) = K(x,K(y * z,u)). T(x,y / z) * K(z \ y,z) = K(z \ y,z) * T(x,z \ y). K(R(x,y,z),T(u,x \ w)) = K(R(w / (w / x),y,z),u). K(R(x / (x / y),z,u),w) = K(R(y,z,u),T(w,y \ x)). K(K(R(x,y,z),u) * w,T(x,v5)) = K(w,T(x,v5)). L(K(T(x,y),T(z,y)),u,w) = K(L(x,u / T(x,y),w),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). K(T(x,L(x,y,z) * u),T(w,u)) = K(L(x,u,L(x,y,z)),w). L(K(T(x,y),T(z,y)),u,w) = K(x,L(z,u / T(z,y),w)). K(T(x,y),T(z,L(z,u,w) * y)) = K(x,L(z,y,L(z,u,w))). K(x \ y,T(z,x * K(y,x))) = K(y / x,z). (K(x,y) * T(x,z)) \ x = K(z,x) * K(y,x). K(K(x,y) * T(y,z),T(u,z)) = K(y * K(T(x,z),y),u). x != K(y \ z,T(u,z \ y)) | x = K(y \ z,u). K(x / y,T(z,x \ y)) = K(y \ x,T(z,y)). T(x,T((y \ z) \ 1,y)) = x * K(x,(z / y) \ 1). K(x,T((y \ z) \ 1,y)) != u | K(x,y / z) = u. T(K(x,y),z) * (z / y) = z / T(y,x). K(x,y) * (K(z,y) / y) = K(z,y) / T(y,x). x * K((y \ x) / z,y) = K(z \ (y \ x),y) * x. K(x \ (y \ z),y) * z = z * K((y \ z) / x,y). K(T(x * y,y) / x,z) = K(y,T(T(z,x),x * y)). x != K(y,(y * z) / u) | x = K(y,(u / z) \ y). K(x,T(y \ (x * z),z)) = K(x,(y / z) \ x). T(x,K(y,z / y) / (z \ y)) = T(x,T(1 / (z \ y),y)). K(x,K(y,T(z,u / x))) != w | K(x,K(z,T(y,u))) = w. x != y * K(z,T(u,w)) | x = y * T(K(z,u),w). T(x,K(y,z)) * K(y,x) = x * T(K(y,x),z). T(x * T(y,z),K(y,z)) = T(y,z) * T(x,y). K(K(x,y) * (z * x),u) = K(z * T(x,y),T(u,K(x,y))). K(x * T(y,z),T(u,K(y,z))) = K(K(y,z) * (x * y),u). T(T(x,K(y,z)),y * x) = T(x,T(x * y,z)). x * y != K(z,K(u,w \ K(w,z))) | x \ K(z,K(u,w \ 1)) = y. K(x,y \ K(y,z)) \ K(z,K(x,y \ 1)) = K(y \ K(y,z),T(x,z)). T(1 / x,y * (x \ 1)) = T(1 / x,x \ y). R(x,K(y,z),T(K(z,y) * u,K(y,w))) * u = (x * K(y,z)) * (K(y,z) \ u). T(x,y) * T(x \ K(x,z),x) = (x \ K(x,z)) * T(x,y). T(x,1 / T(T(y,z),z)) = T(x,1 / y). T(x,1 / T(y \ z,y)) = T(x,1 / (z / y)). K(x,K(y,(z \ 1) / (u / z))) = K(x,K(y,u)). (1 / x) * K(x \ y,z) = K(y / x,z) * (1 / x). K(x / y,z) * (1 / y) = (1 / y) * K(y \ x,z). x != K((((y \ 1) \ 1) \ z) \ u,w) | x = K((y \ z) \ u,w). K((x \ 1) \ (y \ z),y) = K((x \ y) \ z,y). L(K(x * y,x) * K(z * y,K(x * y,x)),y,z) = (z * (T(x * y,x) / T(x,y))) / (z * y). K(x,T(y \ z,u \ z)) = K(x,T(y \ z,u \ y)). K(x,K(y / (z \ 1),u)) != w | K(x,K(u,y * z)) = w. (K(x,y) * T(x,K(z,u))) \ x = K(z,K(u,x)) * K(y,x). x != K(y \ z,T(u,y)) | x = K(z / y,u). K(x / y,T(z,x \ y)) = K(x / y,z). x * (T(x,y) \ (K(z,x) / x)) = K(z,x) / T(x,y). x * K(y,T((z / u) \ y,x)) = K(y,T(z \ (y * u),u)) * x. K(x,T(y \ (x * z),z)) * u = u * K(x,T((y / z) \ x,u)). T(x * T(K(y,x),z),y) = T(x,K(y,z)). T(x * K(y / z,x),z \ y) = T(x,K(z \ y,y)). K(x,y) * T(z,T(z * x,y)) = T(z,x * z) * K(x,y). T(x,1 / (((y \ z) \ z) \ z)) = T(x,1 / (z / y)). K(x,K(y,(z \ 1) / (u / z))) != w | K(y,K(x,u)) = w. x != L(K(y,z),u * y,w) | x = K(L(y,u,w),z). K(L(x,y,z),L(u,w,x)) = K(L(x,y,z),u). K(L(x,y,z),L(u,w,x)) != v5 | K(L(x,y,z),u) = v5. 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)). K(x,y * K(z,x)) = K(x,R(y,K(z,x),u)). K(x,R(y,K(z,x),u)) = K(x,y * K(z,x)). K(x,y * K(z,x)) != u | K(x,y) = u. K(x,y \ T(z,x)) != u | K(x,y \ z) = u. K(x,y / (z / x)) != u | K(x,y / (x \ z)) = u. K(x,K(x,y) \ z) != u | K(x,z) = u. x != K(y,z * K(u,y)) | x = K(y,z). K(x,R(y,K(z,x),u)) = K(x,y). K(x,R(R(y,K(z,x),u),w,v5)) = K(x,R(y,w,v5)). x * K(T(y,z),u) != w | x * K(y,T(u,z)) = w. K(T(x,y),z) * u != w | K(x,T(z,y)) * u = w. K(x * K(y,z),z) = K(R(x,K(y,z),u),z). K(R(x,K(y,z),u),z) = K(x * K(y,z),z). x != K(y * K(z,u),u) | x = K(y,u). K(R(x,K(y,z),u),z) = K(x,z). K(R(R(x,K(y,z),u),w,v5),z) = K(R(x,w,v5),z). K(L(x,K(y,z),u),y) = 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). T(x,(y * z) \ z) != u | T(x,T(y,z) \ 1) = u. K(x,(y * x) \ z) != u | K(x,y \ (x \ z)) = u. K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,(y \ ((1 / z) \ y)) \ (x \ ((1 / z) \ y))). x / T((y \ x) * y,z) != u | T((y \ x) * y,z) \ x = u. T(K(x,y),z * (u * K(w,x))) = T(K(x,y),z * u). K((x * y) \ (z * y),y) != u | K(x \ z,y) = u. K(x \ (y * z),z) != u | K((z \ x) \ y,z) = u. K(x,T(y,z)) != u | T(K(x,y),z) = u. K(x,y) * K(y,K(z,T(x,u))) != w | T(K(x,y),T(z,u)) = w. T(K(x,y),z \ 1) != u | T(K(x,y),z) = u. K(x,K(y,T(z,u))) != w | T(K(x,K(y,z)),u) = w. K(x,y / z) != u | T(K(x,z \ y),z) = u. K(x,K(y \ z,T(y,u))) != w | K(y,K(x,T(z,u))) = w. K(x * y,y) * K(x,K(y,z)) != u | K(x * y,T(y,z)) = u. K(x,y \ (x * z)) != u | K(x,(y / x) \ z) = u. K(x,y) = K(L(x,T(x,z) \ 1,u),y). K(L(x,T(x,y) \ 1,z),u) = K(x,u). K(L(x,x \ K(y,x),z),u) = K(x,u). K(x,T(y \ 1,z)) != u | K(x,z / (z * y)) = u. K(x,(y * x) / z) != u | K(x,y / (x \ z)) = u. x * T(K(y,z),u) != w | x * K(y,T(z,u)) = w. L(K(x,x \ y),y,z) != u | K(x,z \ (x \ (z * y))) = u. K(x \ (y * z),z) != u | K((x / z) \ y,z) = u. K((x * y) \ z,y) != u | K(x \ (y \ z),y) = u. K(x,T(1 / y,z)) != u | K(x,z / (z * y)) = u. T(K(x,y) * K(z,u),x) != w | K(x,y) * K(z,T(u,x)) = w. L(K(x \ y,x),y,z) != u | K(z \ (x \ (z * y)),x) = u. K((x * y) \ z,x) != u | K(y \ (x \ z),x) = u. L(K(x,y),z,T(x,u)) = K(x,y). K(x,(T(x,y) * z) \ u) = K(x,z \ (T(x,y) \ u)). K(x,y) = K(x,L(y,z,T(x,u))). K(x,L(y,z,T(x,u))) = K(x,y). K(x,T(L(y,z,T(x,u)),w)) = K(x,T(y,w)). K(x,y / (x \ z)) = K(x,T(z \ (x * y),y)). K(x,T(y \ (x * z),z)) = K(x,z / (x \ y)). x != K(y,T(z \ (y * u),u)) | x = K(y,(z / u) \ y). K(x,y / (x \ z)) = K(x,(z / y) \ x). x != K(y,T(z \ (y * u),u)) | x = K(y,(y * u) / z). K(x,y / (x \ z)) = K(x,(x * y) / z). K(x,(x * y) / z) = K(x,y / (x \ z)). K(x,T(y \ (x * z),z)) * u != u * w | K(x,T(z / (x \ y),u)) = w. K(x,y / (x \ z)) * u = K(x,(z / y) \ x) * u. x != K(y,z / (y \ u)) | x = K(y,(z * y) / u). K(x,(y / z) \ x) = K(x,(z * x) / y). K(x,(y * x) / z) = K(x,(z / y) \ x). K(x,y / z) = K(x,((x * z) / y) \ x). K(x,((x * y) / z) \ x) = K(x,z / y). R(K(x,(y / (z / u)) \ x),z / u,u) = K(x,z / ((x \ y) * u)). K(x,(x * y) / z) = K(x,(y * x) / z). K(x,(y * x) / z) = K(x,(x * y) / z). K(x,y / z) = K(x,(x \ y) / (x \ z)). K(x,(x \ y) / (x \ z)) = K(x,y / z). K(x,y / (x \ z)) != u | K(x,(z / y) \ x) = u. T(K(x,y \ (z * x)),y) = K(x,(y / z) \ x). x != K(y,(z * y) / u) | x = K(y,T(u \ (z * y),z)). K(x,(y / z) \ x) = K(x,T(y \ (z * x),z)). K(x,T(y \ (z * x),z)) = K(x,(y / z) \ x). K(x,y \ x) = K(x,(y \ (x * z)) / z). K(x,(y \ (x * z)) / z) = K(x,y \ x). K(x,(y * x) / z) != u | K(x,(z / y) \ x) = u. K(x,(x \ y) / (z / x)) = K(x,y / z). K(x,(y \ R(x,z,z \ 1)) / a(x,z,z \ 1)) = K(x,y \ x). K(x,(x \ y) / z) = K(x,y / (z * x)). x != K(y,(y \ z) / (y \ u)) | x = K(y,z / u). K(x,y / ((x \ z) * x)) = K(x,y / z). K(x,y / (z * x)) = K(x,y / (x * z)). x != K(y,z / (y * (u * z))) | x = K(y,u \ (y \ 1)). K(x,y / ((z * y) * x)) = K(x,z \ (x \ 1)). K(x,(y * z) / (z * x)) = K(x,R(y / x,x,z)). K(x,R(y / x,x,z)) = K(x,(y * z) / (z * x)). K(x,y / (z * x)) = K(x,(z / y) \ (x \ 1)). K(x,(y / z) \ (x \ 1)) = K(x,z / (y * x)). K(x,(y * (z / y)) / ((z / y) * x)) = K(x,((y \ z) / z) \ (x \ 1)). K(x,T(y \ (z * x),z)) != u | K(x,(y / z) \ x) = u. x != K(y,R(z / y,u,w)) | x = K(y,R(y \ z,u,w)). K(x,(y * z) / (z * x)) = K(x,R(x \ y,x,z)). K(x,R(x \ y,x,z)) = K(x,(y * z) / (z * x)). T((K(x,y) * K(y,z)) \ (K(x,y) * (u * K(y,z))),K(x,y)) = R(T(u,K(x,y) * K(y,z)),K(x,y),K(y,z)). T(K(x,y) * (z * K(y,u)),K(y,u)) = K(y,u) * (K(x,y) * z). T(x,T((y * x) / z,z)) = T(x,(z / x) \ y). T(x,y \ (z * x)) = T(x,(y / x) \ z). T(x,(y / x) \ z) = T(x,y \ (z * x)). x != T(y,(z / y) \ u) | x = T(y,z \ (y * u)). T(x,y \ (z * x)) = T(x,y \ (x * z)). x != T(y,(z / y) \ u) | x = T(y,(y \ z) \ u). T(x,y \ (z * x)) = T(x,(x \ y) \ z). T(x,(x \ y) \ z) = T(x,y \ (z * x)). L(T(x,y \ (z * x)),u,w) \ L(x,u,w) = K((y / x) \ z,L(x,u,w)). T(x,y \ ((x \ z) * x)) = T(x,y \ z). L(x,y,z) \ L(T(x,u \ (x * w)),y,z) = K(L(x,y,z),u \ (w * x)). K(x,y) * K(x,K(y,z \ (u * y))) = K(x,T(y,(y \ z) \ u)). K(x,T(y,(y \ z) \ u)) = K(x,T(y,z \ u)). T(x,y \ ((x \ z) * x)) = x * K(x,y \ z). L(T(x,y \ z),u,w) \ L(x,u,w) = K(y \ ((x \ z) * x),L(x,u,w)). K(x \ ((y \ z) * y),L(y,u,w)) = L(T(y,x \ z),u,w) \ L(y,u,w). x != K(y,T(z,u)) | x = K(y,z) * K(y,K(z,u)). K(x,T(y,(y \ z) \ u)) = K(x,y) * K(x,K(y,z \ u)). K(x,y) * K(x,K(y,z \ u)) = K(x,T(y,(y \ z) \ u)). K(x,T(y,z \ u)) = K(x,T(y,(y * z) \ u)). K(x,T(y,(y * z) \ u)) = K(x,T(y,z \ u)). K(x,y \ ((x \ z) * x)) = K(x,y \ z). T(x,y \ ((x \ z) * x)) != u | T(x,y \ z) = u. K(x,y \ (z * x)) = K(x,y \ (x * z)). x != K(y,z \ (y * u)) | x = K(y,(z / y) \ u). K(x,y \ (z * x)) = K(x,(y / x) \ z). K(x,(y / x) \ z) = K(x,y \ (z * x)). x != K(y,z \ (y * u)) | x = K(y,(y \ z) \ u). K(x,y \ (z * x)) = K(x,(x \ y) \ z). K(x,(x \ y) \ z) = K(x,y \ (z * x)). L(K(x,y \ ((z \ u) * x)),z \ u,z) = K(x,(z * (y / x)) \ u). K(x,y \ z) = K(x,(x * y) \ (z * x)). K(x,(x * y) \ (z * x)) = K(x,y \ z). K(x,y) = K(x,z \ (((x \ z) * y) * x)). K(x,y \ (((x \ y) * z) * x)) = K(x,z). L(K(x,y \ ((z \ u) * x)),z \ u,z) = K(x,(z * (x \ y)) \ u). L(K(x,y \ ((z \ u) * x)),z \ u,z) != w | K(x,(z * (x \ y)) \ u) = w. K(x * y,T(x,z)) = K(x * y,T(x,y \ z)). K(x * y,T(x,y \ z)) = K(x * y,T(x,z)). x != K(y * z,T(y,u)) | x = K(z * y,T(y,u)). K(x * y,T(x,y \ z)) = K(y * x,T(x,z)). K(x * y,T(y,z)) = K(x * y,T(y,x \ z)). K(x * y,T(y,x \ z)) = K(x * y,T(y,z)). K(x * y,T(y,z)) = K(x * y,T(y,x * z)). K(x * y,T(y,x * z)) = K(x * y,T(y,z)). T(x,(x \ y) \ (x \ z)) != u | T(x,y \ z) = u. T(x,y \ (x \ z)) != u | T(x,(x * y) \ z) = u. R(T(K(x,y),z),y * u,w) = K(x,R(T(y,z),u,w)). K(x,K(y,z)) * (K(x,y) * u) = K(x,T(y,z)) * u. K(x,K(y,z)) * (K(z,x) * u) = K(z,T(x,y)) * u. x != y \ (z * K(u,T(y,z))) | x = T(y,u) \ z. T(x / T(y,T(z,x)),y) = T(y,z) \ x. T(x / T(y,z),y) = T(y,T(z,x)) \ x. K(x \ (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 * K(y,(1 / x) * (z * x)) = K(y,L(z,x,x \ 1)) * x. K(x,(y * z) \ 1) * y = y * K(x,y \ (1 / z)). x * (K(x / y,z) * K(x * K(y \ x,z),x)) = T(x * K(x / y,z),x). x != K(y \ L(y,z,u),y) | x = 1. K(x \ L(T(x,y),z,u),x) = 1. K(x,R(T(x,y),z,u) \ w) = K(x,R(x,z,u) \ w). (((x \ y) * x) * z) \ (y * z) = K(x,z \ (x \ (y * z))). (x * ((y \ (x \ z)) * y)) \ z = K(y,x \ (y \ z)). x != (y * (((z * u) / z) / y)) * z | x = z * (y * (u / y)). (x * y) * K(z,x \ (z \ (x * y))) = x * (z * (y / z)). x * K(y,z \ (y \ x)) = z * (y * ((z \ x) / y)). L(K(x,y),z,T(y,u)) = K(x,y). 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). x \ (y * K(z,T(x,u))) = (x \ y) * T(K(z,x),u). (x * K(y \ (z \ x),z)) * u = (y * ((z \ (y \ x)) * z)) * u. (x * y) * K(x \ (z \ (x * y)),z) = x * ((z \ y) * z). (x * ((y \ (x \ z)) * y)) \ z != u | K(y,x \ (y \ z)) = u. K(x,R(T(y,x \ z),u,w)) = K(x,R(T(y,z),u,w)). T(x,y) * (L(T(x,y),z,x) \ u) = x * (L(x,z,x) \ u). T(x,y \ (z \ y)) = T(x,(z * y) \ y). T(x,(y * z) \ z) = T(x,z \ (y \ z)). T(x,T(y,z) \ 1) = T(x,z \ (y \ z)). T(x,(y * z) \ z) = x * K(x,z \ (y \ z)). x * K(x,y \ (z \ y)) = T(x,(z * y) \ y). x != T(y,(z * u) \ u) | x = T(y,T(z \ 1,u)). T(x,y \ (z \ y)) = T(x,T(z \ 1,y)). T(x,T(y \ 1,z)) = T(x,z \ (y \ z)). K(x,T(y,z \ (u \ z))) != w | K(x,T(y,T(u,z))) = w. x * y != T(x,z) | y = K(x,z). K(x,y \ (z \ y)) = K(x,(z * y) \ y). K(x,(y * z) \ z) = K(x,z \ (y \ z)). x != K(y,z \ (u \ z)) | x = K(y,z / (z * u)). K(x,(y * z) \ z) = K(x,z / (z * y)). K(x,y / (y * z)) = K(x,(z * y) \ y). K(x,y / z) = K(x,((y \ z) * y) \ y). K(x,((y \ z) * y) \ y) = K(x,y / z). K(x,y \ T(z,z \ y)) = K(x,z / y). K(x,y \ (z \ y)) = K(x,(y / z) / y). K(x,(y / z) / y) = K(x,y \ (z \ y)). K(x,(y / z) / y) = K(x,y / (y * z)). L(x,y,z * (K(u,z) / T(z,w))) = L(x,y,K(u,z) * K(w,z)). K(x,T(y,(z * x) * u)) = K(x,T(y,(x * z) * u)). T(((T(x,y) \ y) * ((x \ y) \ y)) / (T(x,y) \ y),x * (y / T(x,y))) = L((x \ y) \ y,T(x,y) \ y,(x \ y) \ y). 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)). K(L(K(x,y),z,u),w) = L(K(x,K(y,w)),z,u). L(K(x,K(y,z)),u,w) = K(L(K(x,y),u,w),z). x * K(L(K(y,z),u,w),x) = T(x,L(K(y,z),u,w)). x != R(y,K(z,u),T(w,K(z,v5))) | x = R(y,K(z,u),w). R(x,T(K(y,z),u),u) = R(x,K(y,z),u). K(x,K(y,T(z,u))) * K(x * T(y,u),x) = K(x * T(y,u),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(R(K(x,y),z,u),w) * w = w * R(K(x,y),z,u). R(K(x,T(y,z)),u,w) * (z * K(y,v5)) = (z * K(y,v5)) * R(K(x,y),u,w). x != K(T(y / (y / z),u),w) | x = K(T(z,u),T(w,y)). 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)). 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(x / ((y \ 1) * z),L(z,y \ 1,y) / (L(z,y \ 1,y) / y)) = K((y \ L(z,y \ 1,y)) \ x,y). 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)). x * y != T((z * u) / z,w) | x \ T(u * K(z,u),w) = y. K(x,y) \ T(y * K(x,y),z) = T(y,T(z,x)). K(x,y) * T(x * K(y,x),z) = T(x,T(z,y)). T(x,T(y,z)) != u | K(x,z) * T(x * K(z,x),y) = u. K(T(x,y * K(z,y)),u) = u / T(u,x * K(T(x,z),y)). T(x,R((y * z) / y,u,w)) = T(x,R(T(z,y),u,w)). x != K(y,K(z,u)) * K(y,z) | x = T(K(y,z),u). T(K(x,y),T(z,K(y,u))) = T(K(x,y),z). T(K(x,y),z / K(u,y)) = T(K(x,y),K(u,y) \ z). x != K(y,z) * K(y,K(z,u)) | x = T(K(y,z),u). T(K(x,y),K(z,y) \ u) = T(K(x,y),u). T(K(x,y),K(z,y) \ u) != w | T(K(x,y),u) = w. T(K(x,y),T(z,y)) != u | T(K(x,y),z) = u. T(K(x,y \ z),T(y,z)) != u | T(K(x,y \ z),y) = u. K(x,y) * K(y,K(z,T(x,x * u))) = T(K(x,y),T(z,u * x)). K(x,y) * K(y,K(z / (x * u),x)) = K(x,T(y,T((x * u) \ z,u))). K(x,T(y,T((x * z) \ u,z))) = K(x,y) * K(y,K(u / (x * z),x)). x != K(y / z,u \ (y / z)) | x = K(y / z,u \ (z \ y)). K(x \ y,(z * x) \ y) = K(y / x,z \ (x \ y)). K(x / y,z \ (y \ x)) = K(y \ x,(z * y) \ x). K(x,T(T(x * y,z),u)) = K(x,T(T(T(x,w) * y,z),u)). K(x,T(T(T(x,y) * z,u),w)) = K(x,T(T(x * z,u),w)). x != K(y,1 / T(1 / z,u)) | x = T(K(y,z),u). K(x,1 / (y / (y / (1 / z)))) = T(K(x,z),y / (1 / z)). T(K(x,y),z / (1 / y)) = K(x,1 / (z / (z / (1 / y)))). K(x,(1 / y) * ((z \ ((1 / y) \ 1)) * z)) = K(x,K(y \ z,z)). L(K(x,K(y,z)),u,w) = K(x,K(z,L(y,u,w))). L(K(x,K(y,z)),u,w) = K(x,K(y,L(z,u,w))). L(K(x,K(y,z)),u,w) = K(y,K(z,L(x,u,w))). x != L(K(y,K(z,u)),w,v5) | x = K(y,L(K(u,z),w,v5)). K(x,K(y,L(z,u,w))) = K(x,L(K(y,z),u,w)). K(x,L(K(y,z),u,w)) = K(x,K(y,L(z,u,w))). x != L(K(y,K(z,u)),w,v5) | x = K(y,L(K(z,u),w,v5)). 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 != L(K(y,K(z,u)),w,v5) | x = K(y,K(u,L(z,w,v5))). K(x,K(y,L(z,u,w))) = K(x,K(z,L(y,u,w))). (x * y) * K(z,K(u,L(w,y,x))) = x * (y * K(z,K(u,w))). (x * y) * K(z,K(u,L(w,y,x))) != v5 | x * (y * K(z,K(u,w))) = v5. x != L(K(y,K(z,u)),w,v5) | x = K(y,K(z,L(u,w,v5))). K(x,K(y,L(z,u,w))) = K(z,K(x,L(y,u,w))). 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))). (x * y) * K(z,K(u,L(w,y,x))) = x * (y * K(w,K(z,u))). K(x,K(y,z)) = K(x,K(z,L(y,y,u))). K(x,K(y,L(z,z,u))) = K(x,K(z,y)). K(x,1 / L(K(y,z),u,w)) = K(x,K(y,L(z,u,w))). K(x,K(y,L(z,u,w))) = K(x,K(z,L(y,u * z,w))). K(x,K(y,L(z,u * y,w))) = K(x,K(z,L(y,u,w))). K(x,K(x / y,L(z,u,w))) = K(x,K(z,L(y,u,w))). x * K(y,K(z,L(x,u,w))) = T(x,K(y,L(z,u,w))). K(x,K(y \ (z \ u),L(w,y,z))) = K(w,K(x,(z * y) \ u)). K(x,K(y,L(z,u,w))) != v5 | K(x,K(z,L(y,u,w))) = v5. K(L(K(x,y),z,u),w) = K(w,K(y,L(x,z,u))). K(L(K(x,y),z,u),w) != v5 | K(y,K(w,L(x,z,u))) = v5. x != K(y,z \ u) * u | x = u * K(y,u / z). T(x,K(y,z)) * K(y,z \ x) = x * K(y,x / z). x != 1 / (K(y,z) * u) | x = (1 / u) * K(z,y). T(1 / (x * K(y,z)),K(z,y)) = (1 / x) * K(z,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). 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). T(T(x,y) * z,x) = T(x,y) * (x \ T(x * z,x)). T(x,y) * (x \ T(x * z,x)) = T(T(x,y) * z,x). K(x,y * z) \ ((x * y) * z) = R(x,y,z) * T(y * z,x). (T(x,T(x \ y,z)) * z) \ (z * ((x \ y) \ y)) = K(z,x). x != (y * T(z,u)) / T(y,z) | x = T(z,T(u,y)). T(x,T(y * K(x,z),u)) = T(x,T(y,u)). T(x,T(y / (x \ z),u)) = T(x,T(y / (z / x),u)). T(x,T(y / (z / x),u)) = T(x,T(y / (x \ z),u)). x * (y * K(z,K(u,x * y))) = T(x * y,K(z,u)). x * (y * K(z,K(u,x * y))) != w | w = T(x * y,K(z,u)). x * (y * K(z,K(u,x * y))) != w | T(x * y,K(z,u)) = w. T(x,T((y \ z) \ 1,y)) = T(x,(z / y) \ 1). T(x,T(y \ 1,z)) = T(x,((z * y) / z) \ 1). T(x,((y * z) / y) \ 1) = T(x,T(z \ 1,y)). T(x,y \ K(y,z)) = T(x,T(y \ 1,z)). T(x,T(y \ 1,z)) = T(x,y \ K(y,z)). x != T(y,T(z \ 1,u)) | x = T(y,u \ (z \ u)). T(x,y \ K(y,z)) = T(x,z \ (y \ z)). x != T(y,z \ K(z,u)) | x = T(y,u / (u * z)). T(x,y \ (z \ y)) = T(x,y / (y * z)). T(x,y / (y * z)) = T(x,y \ (z \ y)). x * y != K(z \ (u \ x),u) * x | y = K(x / (u * z),u). K((x \ y) / z,x) = K(y / (x * z),x). x != K(y,T(T(z,u),u * y)) | x = K(L(y,w,y),z). K(T(x * y,y) / x,z) = K(L(y,u,y),z). K(L(x,y,x),z) = K(T(u * x,x) / u,z). K(x,y) = K(T(z * x,x) / z,y). K(T(x * y,y) / x,z) = K(y,z). K(T(x,y \ x) / y,z) = K(y \ x,z). x != K(y,T(z,u \ y)) | x = K(y,T(z,u)). K(x,T(x \ y,z \ y)) = K(x,T(x \ y,z)). x * (K(y,x) / T(x,z)) = T(x,z) \ ((x \ 1) \ K(y,x)). T(x,y) \ ((x \ 1) \ K(z,x)) = x * (K(z,x) / T(x,y)). x != T(y,K(z \ u,u)) | x = T(y,K(u,z)). 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(T(x,y / z),K(z,y)) = T(x,z \ y). T(x,y / z) = T(T(x,K(y,z)),z \ y). T(T(x,K(y,z)),z \ y) = T(x,y / z). T(T(x,K(y,z \ u)),(((z \ 1) \ 1) \ u) \ y) = T(x,y / (((z \ 1) \ 1) \ 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)) \ u,z) = K((x * (z \ y)) \ u,z). K((x * (y * z)) \ u,y) = K((x * (z * y)) \ u,y). K((x * (y * z)) \ u,z) = K((x * (z * y)) \ u,z). K(x \ y,z) = K((K(u,z) * x) \ y,z). K((K(x,y) * z) \ u,y) = K(z \ u,y). 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. x != K((K(y,z) * u) \ w,z) | x = K(u \ (K(z,y) * w),z). K(x \ y,z) = K(x \ (K(z,u) * y),z). K(x \ (K(y,z) * u),y) = K(x \ u,y). K(x \ y,z) = K(x \ (K(z,u) \ y),z). 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),y \ z) = K(x \ (z / y),y \ z). K(x \ (y / z),z \ y) = K(x \ (z \ y),z \ y). K(x \ (y \ z),y) = K(x \ (T(y,u) \ z),y). K(x \ (T(y,z) \ u),y) = K(x \ (y \ u),y). K(x \ (K(y,z) * u),T(y,w)) = K(x \ u,T(y,w)). K(x \ (y * K(z,u)),z) = K(x \ y,z). K(x \ (y * T(z,u)),u) = K(x \ (y * z),u). K(x \ (y / (z * y)),z \ 1) = K(x \ ((z * y) \ y),z \ 1). K(x \ (y * (z * u)),z) = K(x \ (y * (u * z)),z). K(x \ (y * (z * u)),u) = K(x \ (y * (u * z)),u). K(x \ (y * K(z,u)),T(z,w)) = K(x \ y,T(z,w)). K(x \ T(y,z),T(y,u)) = K(x \ y,T(y,u)). K(a(x,y,T(z,y)),y) = K((x * (z * y)) \ ((x * y) * z),y). K((x * (y * z)) \ ((x * z) * y),z) = K(a(x,z,T(y,z)),z). (x * K(y \ z,T(z,u))) \ x = K(T(z,u),y \ T(z,w)). K(T(x,y),z \ T(x,u)) = (w * K(z \ x,T(x,y))) \ w. T(x,y / (x \ z)) = T(x,(z / y) \ x). x != T(y,z / (y \ u)) | x = T(y,(z * y) / u). T(x,(y / z) \ x) = T(x,(z * x) / y). T(x,(y * x) / z) = T(x,(z / y) \ x). R(K(x,T(y,z)),y * u,w) = K(x,R(T(y,z),u,w)). K(x,K(y,z)) * (K(x,x \ y) * u) = K(x,T(x \ y,z)) * u. K(x,y \ (z \ 1)) * z = z * K(x,z \ (1 / y)). x != ((y * z) * ((u \ ((y * z) \ w)) * u)) \ w | x = K(u,(y * (z * u)) \ w). K(x,(y * z) \ (x \ u)) = K(x,(y * (z * x)) \ u). K(x,(y * (z * x)) \ u) = K(x,(y * z) \ (x \ u)). x * (y * ((x \ z) / y)) != z * u | K(y,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((T(x,y) * z) \ u,K(x,w)) = K(w,K(z \ (x \ u),x)). R(x,y,z) * (x \ K(u,T(x,w))) = (x \ R(x,y,z)) * T(K(u,x),w). (x \ R(x,y,z)) * T(K(u,x),w) = R(x,y,z) * (x \ K(u,T(x,w))). K(x,R(T(y,z),u,w)) = K(x,R(T(y,x * z),u,w)). K(x,R(T(y,x * z),u,w)) = K(x,R(T(y,z),u,w)). (x \ R(x,y,x)) * T(K(y,x),z) = K(y * x,x) * K(y,K(x,z)). x / L(K(y,z),u,w) = T(L(K(y,z),u,w) \ x,L(K(y,z),u,w)). T(L(K(x,y),z,u) \ w,L(K(x,y),z,u)) = w / L(K(x,y),z,u). R(K(x,y),z,u) * w != T(R(K(x,y),z,u),v5) * v5 | T(v5,R(K(x,y),z,u)) = w. T(R(K(x,y),z,u) \ w,R(K(x,y),z,u)) = w / R(K(x,y),z,u). T(x,R(y / (y / z),u,w)) = T(x,R(T(z,z \ y),u,w)). T(x,R(T(y,y \ z),u,w)) = T(x,R(z / (z / y),u,w)). x != T(K(y,z),K(u,z) \ w) | x = T(K(y,z),w). T(K(x,y),z / K(u,y)) = T(K(x,y),z). T(K(x,y),z * K(y,u)) = T(K(x,y),z). R(x,T(K(y,z),u),u * K(z,w)) = R(x,K(y,z),u * K(z,w)). x != K(y,K(z,L(u,w,v5))) | x = K(y,L(K(z,u),w,v5)). K(x,1 / L(K(y,z),u,w)) = K(x,L(K(y,z),u,w)). K(x,K(y,(z * (u * y)) \ w)) = K(x,K((u * y) \ (z \ w),L(y,u,z))). K(x,K((y * z) \ (u \ w),L(z,y,u))) = K(x,K(z,(u * (y * z)) \ w)). K(x,K(x / y,(z * u) \ w)) = K(x,K(u \ (z \ w),L(y,u,z))). K(x,K(y \ (z \ u),L(w,y,z))) = K(x,K(x / w,(z * y) \ u)). x * y != T(x,K(z,u)) * w | y = K(z,K(u,x)) * w. K(x,y / z) = K(x,K(z,y)) * K(x,z \ y). K(x,K(y,z)) * K(x,y \ z) = K(x,z / y). (K(x,y / z) * K(K(x,z \ y),u)) / T(K(x,z \ y),u) = R(K(x,K(z,y)),K(x,z \ y),K(K(x,z \ y),u)). T(K(x,y) / z,K(x,y)) = (1 / z) * K(x,y). T(x,y) * R(x \ T(z,x),u,w) = T(T(x,y) * R(x \ z,u,w),x). T(T(x,y) * R(x \ z,u,w),x) = T(x,y) * R(x \ T(z,x),u,w). x != T(y,T(z / (u / y),w)) | x = T(y,T((z * y) / u,w)). T(x,T(y / (x \ z),u)) = T(x,T((y * x) / z,u)). T(x,T((y * x) / z,u)) = T(x,T(y / (x \ z),u)). R(x,y,z * K(u,K(w,y * z))) * T(y * z,K(u,w)) = (x * y) * (z * K(u,K(w,y * z))). x != K(y,z) | x = (z \ 1) / (z \ K(z,y)). K((x * (y / z)) \ u,z) = (z \ 1) / (z \ K(z,(x * (z \ y)) \ u)). (x \ 1) / (x \ K(x,(y * (x \ z)) \ u)) = K((y * (z / x)) \ u,x). x != K(((y \ 1) * (y * z)) \ u,w) | x = K(L(z,y,y \ 1) \ u,w). K(((x \ 1) * (y * x)) \ z,x) = K(L(y,x,x \ 1) \ z,x). x != (y * K(z,u)) \ y | x = K(u,z). K(x,(y * K(z,x)) \ u) = K(x,y \ u). T(x,(y * K(z,x)) \ u) = x * K(x,y \ u). 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 * (x \ z)) \ u) = K(x,(y * (z / x)) \ u). K(x,(y * (z / x)) \ u) = K(x,(y * (x \ z)) \ u). K(x,(y * L(K(z,x),u,w)) \ v5) = K(x,y \ v5). K(x,(K(y,x) * z) \ u) = K(x,z \ u). K(x,y \ z) = K(x,(K(x,u) * y) \ z). K(x,(K(x,y) * z) \ u) = K(x,z \ u). K(T(x,y),(z * K(u,x)) \ w) = K(T(x,y),z \ w). K(x,(y * z) \ u) = K(x,((y * K(w,x)) * z) \ u). K(x,((y * K(z,x)) * u) \ w) = K(x,(y * u) \ w). x != K(y,(K(z,y) * u) \ w) | x = K(y,u \ (K(y,z) * w)). K(x,y \ z) = K(x,y \ (K(x,u) * z)). K(x,y \ (K(x,z) * u)) = K(x,y \ u). K(x,a(K(x,y),z,u)) = K(x,(z * u) \ ((K(x,y) * z) * u)). K(x,(y * z) \ ((K(x,u) * y) * z)) = K(x,a(K(x,u),y,z)). K(x,y \ (x \ z)) = K(x,y \ (T(x,u) \ z)). K(x,y \ (T(x,z) \ u)) = K(x,y \ (x \ u)). K(x,y \ R(x,z,z \ 1)) = K(x,y \ ((z * x) * (z \ 1))). K(x,y \ ((z * x) * (z \ 1))) = K(x,y \ R(x,z,z \ 1)). K(x,y \ (z * K(x,u))) = K(x,y \ z). K(x,y \ z) = K(x,y \ (z * K(u,x))). K(x,y \ (z * K(u,x))) = K(x,y \ z). K(x,y \ (z * (u / x))) = K(x,y \ (z * (x \ u))). K(x,y \ (z * (x * u))) = K(x,y \ (z * (u * x))). K(x,y \ (z * (u * x))) = K(x,y \ (z * (x * u))). K(x,y \ (z * L(K(u,x),w,v5))) = K(x,y \ z). T(x,(y * K(z,x)) \ u) = T(x,y \ u). T(x,y \ z) = T(x,(y * K(x,u)) \ z). T(x,(y * K(x,z)) \ u) = T(x,y \ u). T(x,(K(y,x) * z) \ u) = T(x,z \ u). T(x,(y * (x * z)) \ u) = T(x,(y * (z * x)) \ u). T(x,(y * (z * x)) \ u) = T(x,(y * (x * z)) \ u). x != T(y,(K(z,y) * u) \ (K(z,y) * w)) | x = T(y,u \ w). T(x,y \ (K(z,x) * u)) = T(x,y \ u). T(x,y \ ((z / x) \ u)) = T(x,y \ ((x \ z) \ u)). x != K(y,z \ (T(y,u) \ w)) | x = K(y,(T(y,u) * z) \ w). K(x,y \ (x \ z)) = K(x,(T(x,u) * y) \ z). K(x,(T(x,y) * z) \ u) = K(x,z \ (x \ u)). K(x,(y * (z * K(u,x))) \ w) = K(x,(y * z) \ w). K(x,y \ (z * (u * K(w,x)))) = K(x,y \ (z * u)). R((x \ y) * K(z \ (x \ y),x \ y),u,w) \ R(x \ y,u,w) = K(R(x \ y,u,w),z \ (y / x)). K(x \ (y * z),T(y,u)) = K(x \ (z * y),T(y,u)). K(x \ (y * z),T(z,u)) = K(x \ (z * y),T(z,u)). K((x * (y * z)) \ (x * ((z * u) * y)),y) = K(L(L(u,z,y),y * z,x),y). R(K(x,T(y,z)),u,w) = K(x,R(T(y,z),y \ u,w)). K(x,R(T(y,z),y \ u,w)) = R(K(x,T(y,z)),u,w). K(x,T(y \ (z \ 1),z)) = K(x,z \ (1 / y)). K(x,(y * z) \ u) = K(x,(y * (z / x)) \ (x \ u)). K(x,(y * (z / x)) \ (x \ u)) = K(x,(y * z) \ u). (x * K(y,(z * u) \ (y \ w))) \ x = K((z * (u * y)) \ w,y). K(x,(x * y) \ ((x * z) * y)) = K(x,R(T(z,y),x,y)). L(K(x,(y * (x \ z)) \ (u \ w)),u \ w,u) = K(x,(u * (y * (z / x))) \ w). K(x,(((x \ y) * x) * z) \ u) = K(x,(y * z) \ u). x != K(y,(z * u) \ u) | x = K(y,u \ (z \ u)). K(x,(y * (z * (u / x))) \ (z * (x \ u))) = K(x,(z * (u / x)) \ (y \ (z * (u / x)))). L(T(x,y \ ((x \ z) \ u)),w,v5) \ L(x,w,v5) = K(y \ ((z / x) \ u),L(x,w,v5)). K(x,(y * z) \ u) = K(x,(y * (K(x,w) * z)) \ u). K(x,(y * (K(x,z) * u)) \ w) = K(x,(y * u) \ w). K(x,y \ (z * u)) = K(x,y \ (z * (K(x,w) * u))). K(x,y \ (z * (K(x,u) * w))) = K(x,y \ (z * w)). K(x \ (y * T(z,u)),T(z,w)) = K(x \ (z * (y * K(z,u))),T(z,w)). K(x \ (y * (z * K(y,u))),T(y,w)) = K(x \ (z * T(y,u)),T(y,w)). K(x,R(T(y,z),y \ 1,u)) = K(x,T(y,z)). K(x,R(T(y,z),y \ 1,u)) = T(K(x,y),z). x != K(y,(z * (u / y)) \ w) | x = K(y,(z * (y \ u)) \ w). K(x,(y * z) \ u) = K(x,(y * (x \ z)) \ (x \ u)). K(x,(y * (x \ z)) \ (x \ u)) = K(x,(y * z) \ u). K(x,L(L(y,z,K(x,u)),K(x,u) * z,w)) = K(x,(w * (K(x,u) * z)) \ (w * (z * y))). K(x,(y * (x \ 1)) \ (x \ z)) = K(x,y \ z). K(x,(y * z) \ (x \ u)) = K(x,(y * (x * z)) \ u). K(x,(y * (x * z)) \ u) = K(x,(y * z) \ (x \ u)). K(x,y \ (x \ z)) = K(x,(y / (x \ 1)) \ z). K(x,(y / (x \ 1)) \ z) = K(x,y \ (x \ z)). K(x,(y \ 1) \ (x \ z)) = K(x,(y \ x) \ z). L(K(x,y \ (x \ (z \ u))),z \ u,z) = K(x,(z * (y / (x \ 1))) \ u). K(x,(y \ 1) \ z) = K(x,(y \ x) \ (x * z)). K(x,(y \ x) \ (x * z)) = K(x,(y \ 1) \ z). x != K(y,z \ (y * u)) | x = K(y,z \ (u * y)). K(x,(y \ 1) \ z) = K(x,(y \ x) \ (z * x)). K(x,(y \ x) \ (z * x)) = K(x,(y \ 1) \ z). K(x,T(y,L(y,z,u) * (y \ w))) = L(K(x,T(y,w)),w,L(y,z,u)). L(K(x,T(y,z)),z,L(y,u,w)) = K(x,T(y,L(y,u,w) * (y \ z))). x != K(y,L(T(z,y),u,w)) | x = K(y,L(z,u,w)). K(x,y \ (x \ (y * (z * x)))) = K(x,L(z,x,y)). K(x,y) * K(x * y,x) = T(x \ R(x,y,x),y). x != K(y,z) * K(y * z,y) | x = y \ R(y,z,y). T(x \ R(x,y,x),y) = x \ R(x,y,x). (x * (y \ R(y,x,y))) / x = y \ R(y,x,y). (T(x * y,x) / x) / y = x \ R(x,y,x). K(x,T(y,K(L(x,z,u),w) * v5)) = K(x,T(y,v5)). K(x,T(y,z / L(x,u,w))) = K(x,T(y,L(x,u,w) \ z)). K(x,T(y,L(x,z,u) * (u * z))) = K(x,T(y,u * (z * x))). K(x,K(L(y,z,u),w)) != v5 | K(x,K(y,L(w,z,u))) = v5. L(K(x,K(y,z)),u,w) != v5 | K(x,K(z,L(y,u,w))) = v5. K(x,L(K(y,z),u,w)) != v5 | K(x,K(z,L(y,u,w))) = v5. K(x,L(K(y,z),u,w)) != v5 | K(x,K(y,L(z,u,w))) = v5. L(K(x,K(y,z)),u,w) != v5 | K(y,K(z,L(x,u,w))) = v5. 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(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)). L(K(x * L(y,z,u),y),T(y,x),w) = (w * T(y,x)) \ (w * R(y,x,L(y,z,u))). (x * T(y,z)) \ (x * R(y,z,L(y,u,w))) = L(K(z * L(y,u,w),y),T(y,z),x). x \ R(x,y,L(x,z,u)) != w | K(x,y) * K(y * L(x,z,u),x) = w. R(x,y,R(x,z,u)) * w = T(x,y) * (K(y * R(x,z,u),x) * w). T(x,y) * (K(y * R(x,z,u),x) * w) = R(x,y,R(x,z,u)) * w. K(x,y \ (x \ ((x * z) * y))) = K(x,R(T(z,y),x,y)). L(K(x,y),z,L(x,u,w)) = K(x,y). (L(x,y,z) * (u * K(x,w))) \ (L(x,y,z) * u) != v5 | K(w,x) = v5. K(L(x,y,L(x,z,u)),w) = K(x,w). T(x,y) = x * K(L(x,z,L(x,u,w)),y). x * K(L(x,y,L(x,z,u)),w) = T(x,w). R(x,y,z) * (u * K(x,w)) != (R(x,y,z) * u) * v5 | K(x,w) = v5. x != K(y,(z * (y / z)) \ u) | x = K(y,y \ u). K(x,K(y \ x,y) * z) = K(x,x \ (x * z)). K(x,x \ (x * y)) = K(x,K(z \ x,z) * y). K(x,y) = K(x,K(z \ x,z) * y). K(x,K(y \ x,y) * z) = K(x,z). x != K(y,K(z \ y,z) * u) | x = K(y,u * K(z \ y,z)). K(x,y) = K(x,y * K(z \ x,z)). K(x,y * K(z \ x,z)) = K(x,y). K(x * y,K(y,x) * z) = K(x * y,z). K(x,(y \ x) * z) = K(x,(x / y) * z). K(x,(x / y) * z) = K(x,(y \ x) * z). K(x,y \ z) = K(x,y \ ((z \ x) \ x)). K(x,y \ ((z \ x) \ x)) = K(x,y \ z). T((K(x,y) * z) * K(y * x,z),y * x) = K(x,y) * z. K(x,((((y \ x) \ x) \ 1) * z) \ 1) = K(x,L(z,((y \ x) \ x) \ 1,(y \ x) \ x) \ y). K(x,L(y,((z \ x) \ x) \ 1,(z \ x) \ x) \ z) = K(x,((((z \ x) \ x) \ 1) * y) \ 1). x != K((y * (z / y)) \ u,z) | x = K(z \ u,z). K(K(x \ y,x) * z,y) = K(y \ (y * z),y). K(x \ (x * y),x) = K(K(z \ x,z) * y,x). K(x,y) = K(K(z \ y,z) * x,y). K(K(x \ y,x) * z,y) = K(z,y). T(K(x \ y,x) * z,y) = (K(x \ y,x) * z) * K(z,y). (K(x \ y,x) * z) * K(z,y) = T(K(x \ y,x) * z,y). K(x,R(T(x,y),z,u) * (w \ 1)) = K(x,w \ R(T(x,y),z,u)). x != K(y,R(T(y,z),u,w) \ v5) | x = K(y,R(y,u,w) \ v5). K(x,y / R(T(x,z),u,w)) = K(x,R(x,u,w) \ y). 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)). K(x,y / (z / R(x,u,w))) = K(x,(y * R(x,u,w)) / z). K(x,(y * R(x,z,u)) / w) = K(x,y / (w / R(x,z,u))). 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) / z) \ 1 = z * K(y,R(x,u,R(x,w,v5))). x * K(y,R(z,u,R(z,w,v5))) = (K(z,y) / x) \ 1. K(x,y) * (x \ R(x,z,R(x,u,w))) = x \ R(T(x,y),z,R(x,u,w)). 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)). 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). 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). x != K(y * (z / R(u,w,u)),u) | x = K(y * (z / T(u,w)),u). K(x * (R(y,z,y) \ u),y) = K(x * (u / T(y,z)),y). x != K(y * (z / T(y,u)),y) | x = K(z,y). K(x * (R(x,y,x) \ z),x) = K(z,x). K(x * y,x) = K(R(x,z,x) * y,x). K(R(x,y,x) * z,x) = K(x * z,x). x != K(R(y,z,u) * w,y) | x = K(w * R(y,z,u),y). K(x * y,x) = K(y * R(x,z,x),x). K(x * R(y,z,y),y) = K(y * x,y). T(x,y * R(x,z,x)) = 1 / (x \ K(x * y,x)). T(x,y * R(x,z,x)) = T(x,x * y). T(x,y * R(x,z,x)) = x * K(x,x * y). K(x,y * R(x,z,x)) = K(x,x * y). x != K(y,z * R(y,u,w)) | x = K(y,R(y,u,w) * z). K(x,x * y) = K(x,R(x,z,x) * y). K(x,R(x,y,x) * z) = K(x,x * z). K(R(x,y,x),R(x,z,x) * u) = K(x,x * u). L(K(x,y),z,L(y,u,w)) = K(x,y). K(L(x,y,L(z,u,w)),z) = K(x,z). K(x,y) = K(x,L(y,z,L(y,u,w))). K(x,L(y,z,L(y,u,w))) = K(x,y). K(T(x \ (L(y,z,u) * w),L(y,z,u) \ x),y) = K((((L(y,z,u) \ x) \ w) \ w) \ w,y). K(R(x,y,z),T(u,x \ w)) = K(R(x,y,z),T(u,w)). K(R(x,y,z),T(u,x \ w)) * v5 != K(R(x,y,z),T(u,w)) | 1 = v5. 1 = K(R(x,y,z),T(u,w)) * K(T(u,x \ w),R(x,y,z)). K(R(x,y,z),T(u,w)) * K(T(u,x \ w),R(x,y,z)) = 1. K(R(x,y,z),T(u,w)) = K(R(x,y,z),T(u,x * w)). K(R(x,y,z),T(u,x * w)) = K(R(x,y,z),T(u,w)). K(x,y \ ((x \ y) * z)) != u | L(K(x,x \ z),z,x \ y) = u. T(x,y) / T(R(x,z,u),w) = R(T(x,w),z,u) \ T(x,y). T(x / y,z) * T(y,K(z,x / y)) = x * K(x / y,z). T(T(x,1 / y),K(1 / y,z)) = T(x,1 / T(y,z)). T(T(x,1 / y),K(z,1 / y)) = T(x,1 / T(y,z)). T(x,1 / T(y,z)) != u | T(x,T(1 / y,z)) = u. T(T(x,1 / (y / z)),K(u,z / y)) = T(x,1 / T(y / z,u)). K(R(K(x,y),z,u),w) = R(K(x,K(y,w)),z,u). R(K(x,K(y,z)),u,w) = K(R(K(x,y),u,w),z). R(K(x,K(y,z \ 1)),u,w) = K(x,K(y,R(z,u,w) \ 1)). K(x,R(K(y,z),u,w)) = K(R(K(y,x),u,w),z). K(R(K(x,y),z,u),w) = K(y,R(K(x,w),z,u)). x != K(R(K(y,z),u,w),v5) | x = R(K(y,K(z,v5)),u,w). K(x,R(K(y,z),u,w)) = R(K(y,K(x,z)),u,w). R(K(x,K(y,z)),u,w) = K(y,R(K(x,z),u,w)). R(K(x,K(y,z)),u,w) = K(x,R(K(y,z),u,w)). T(x,R(K(y,z),u,w)) = x * R(K(x,K(y,z)),u,w). x * R(K(x,K(y,z)),u,w) = T(x,R(K(y,z),u,w)). T(x,K(y,z)) * K(z,u) = T(x * K(z,u),K(y,z)). T(x * K(y,z),K(u,y)) = T(x,K(u,y)) * K(y,z). K(x,y) * T(z,K(u,y)) = T(K(x,y) * z,K(u,y)). T(K(x,y) * z,K(u,y)) = K(x,y) * T(z,K(u,y)). T(K(x,y) * z,K(u,y)) = K(x,y) * T(z,K(y,u)). 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). K(x,y) * T(K(x,y) \ z,K(x,u)) = T(z,K(x,u)). 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. x != T(y,K(z,u)) * K(z,y) | x = y * K(z,T(y,u)). T(x * K(y,x),K(y,z)) = x * K(y,T(x,z)). x * y != T(z,K(u,w)) * K(u,v5) | x \ T(z * K(u,v5),K(u,w)) = y. T(x,K(y,z)) \ T(x * K(y,u),K(y,z)) = K(y,u). T(x * K(y,x),K(y,z)) != x * u | K(y,T(x,z)) = u. K(x,y) * T(z,K(x,u)) = T(K(x,y) * z,K(x,u)). T(K(x,y) * z,K(x,u)) = K(x,y) * T(z,K(x,u)). T(x,K(y,z)) * K(u,y) = T(x * K(u,y),K(y,z)). T(x * K(y,z),K(z,u)) = T(x,K(z,u)) * K(y,z). (K(x,y * 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(x * K(y,z),K(z,u)) \ T(x,K(z,u)) = K(z,y). T(T(x,K(y,z)),K(y,u)) = K(y,K(x,z)) * T(x,K(y,u)). K(x,K(y,z)) * T(y,K(x,u)) = T(T(y,K(x,z)),K(x,u)). T(x * K(L(y \ 1,z,u) \ 1,w),K(w,v5)) = T(x,K(w,v5)) * L(K(y,w),z,u). x != K(T(y,z),R(T(u,z),w,v5)) | x = K(y,R(u,w,v5)). R(K(x,y),T(y,z) * u,w) = K(x,R(y,u,w)). R(K(x,y),T(y,z) * u,w) != v5 | K(x,R(y,u,w)) = v5. R(K(x,y),z,u) = K(x,R(y,T(y,w) \ z,u)). K(x,R(y,T(y,z) \ u,w)) = R(K(x,y),u,w). R(K(x,y),K(z,y) * u,w) = R(K(x,y),u,w). R(K(x,y),z,u) = R(K(x,y),K(y,w) * z,u). R(K(x,y),K(y,z) * u,w) = R(K(x,y),u,w). R(K(x,y),y * z,u) != w | K(x,R(y,z,u)) = w. (x / y) * K(y \ x,T(y,z)) = (y \ x) * K(z,K(y,x)). x != K(y \ (K(z,u) * w),T(z,v5)) | x = K(y \ w,T(z,v5)). K((K(x,y) * z) / u,x) = K(u \ z,T(x,z)). K(x \ y,T(z,y)) = K((K(z,u) * y) / x,z). K(x / y,z) = K((K(z,u) * x) / y,z). K((K(x,y) * z) / u,x) = K(z / u,x). (x * K(y / z,u)) \ x = K(u,(K(u,w) * y) / z). K(x,(K(x,y) * z) / u) = (w * K(z / u,x)) \ w. K(x,(K(x,y) * z) / u) = K(x,z / u). K(x,(y * T(x,z)) / u) = K(x,(y * x) / u). K(x,(y * T(x,z)) / u) != w | K(x,y / (x \ u)) = 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),u) = K(x / ((y * K(w,u)) * z),u). K(x / ((y * K(z,u)) * w),u) = K(x / (y * w),u). K(x / ((K(y,z) * u) * w),z) = K(x / (u * w),z). K(x / (y * z),u) = K(x / ((K(u,w) * y) * z),u). K(x / ((K(y,z) * u) * w),y) = K(x / (u * w),y). K(R(R(x,K(y,z),u),K(y,z) * u,w),z) = K((((x * K(y,z)) * u) * w) / (u * w),z). K(x / ((T(y,z) \ u) * w),y) = K(x / ((y \ u) * w),y). x != K(T(y,z),(u * K(w,y)) \ v5) | x = K(T(y,z),u \ v5). K(x,y / (z * K(u,x))) = K(T(x,z),z \ y). K(T(x,y),y \ z) = K(x,z / (y * K(u,x))). 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 * T(u,x))) = K(x,y / (z * u)). K(x,y / z) = K(x,y / (z * K(x,u))). K(x,y / (z * K(x,u))) = K(x,y / z). K(x,y / (z * u)) = K(x,y / ((z * K(w,x)) * u)). K(x,y / ((z * K(u,x)) * w)) = K(x,y / (z * w)). K(x,y / ((z * x) * u)) = K(x,y / ((x * z) * u)). K(x,y / (((x \ z) * x) * u)) = K(x,y / (z * u)). K(x,y / ((K(z,x) * u) * w)) = K(x,y / (u * w)). K(x,y / (z * u)) = K(x,y / ((K(x,w) * z) * u)). K(x,y / ((K(x,z) * u) * w)) = K(x,y / (u * w)). K(x,R(R(y,K(z,x),u),K(z,x) * u,w)) = K(x,(((y * K(z,x)) * u) * w) / (u * w)). ((x * (y * K(z,y))) / x) / ((x * y) / x) = K(T(z,x),y). 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))). T(K(x,y),T(z,u)) = T(K(x,y),T(z,x \ u)). T(K(x,y),T(z,x \ u)) = T(K(x,y),T(z,u)). T(K(x,y),T(z,u)) = T(K(x,y),T(z,x * u)). T(K(x,y),T(z,x * u)) = T(K(x,y),T(z,u)). x != T(y,T(z,u)) | x = (u * T(y,z)) / T(u,y). (x * (K(y,z) * K(x,u))) * K(z,y) = (K(y,z) * T(x,u)) / T(K(y,z),x). (K(x,y) * T(z,u)) / T(K(x,y),z) = (z * (K(x,y) * K(z,u))) * K(y,x). T(x,R(y / (y / z),u,w)) = x * K(T(x,z \ y),R(z,u,w)). T(x,T(y,z / u)) = T(x,T(y,(z * (u \ 1)) \ 1)). T(x,T(y,(z * (u \ 1)) \ 1)) = T(x,T(y,z / u)). T(x,T(y,z * (u \ 1))) = T(x,T(y,z / u)). T(x,T(y,z * (u \ 1))) = x * K(x,T(y,z / u)). K(x,T(y,z * (u \ 1))) = K(x,T(y,z / u)). x * y != K(z,K(u,w)) * x | y = K(z,K(u,T(w,x))). K(x,K(y,T(z,u))) = K(x,K(y,T(z,x * u))). K(x,K(y,T(z,x * u))) = K(x,K(y,T(z,u))). K(x,K(y,T(z,u))) = K(x,K(y,T(z,x \ u))). K(x,K(y,T(z,x \ u))) = K(x,K(y,T(z,u))). T(x,T(y \ x,z)) = T(x,T(x * (y \ 1),z)). T(x,T(x * (y \ 1),z)) = T(x,T(y \ x,z)). x != K(R(y,z,u),T(w,y \ v5)) | x = K(R(y,z,u),T(w,v5)). K(R(x / (x / y),z,u),w) = K(R(y,z,u),T(w,x)). K((x * y) / ((x / z) * y),u) = K(R(z,x / z,y),T(u,x)). K(R(x,y / x,z),T(u,y)) = K((y * z) / ((y / x) * z),u). 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). K(L(x,y,z),u) = L(K(x,u),y * T(x,w),z). L(K(x,y),z * T(x,u),w) = K(L(x,z,w),y). 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). K(L(x,y,z),y) = K(x,L(y,x,z)). K(L(x,y,z),(z \ u) \ (x * y)) = K(x,u \ (z * (x * y))). L(K(x,y),T(x,z) * u,w) = K(L(T(x,z),u,w),T(y,z)). x != K(L(y,y \ K(z,y),u),w) | x = K(y,w). L(K(x,y),K(z,x),u) = K(x,y). (x * K(y,z)) * K(z,u) = x * (K(y,z) * K(z,u)). (x * K(y,z)) * R(K(z,u),w,v5) = x * (K(y,z) * R(K(z,u),w,v5)). L(K(x,y),L(K(z,x),u,w),v5) = K(x,y). (x * L(K(y,z),u,w)) * K(z,v5) = x * (L(K(y,z),u,w) * K(z,v5)). K(L(x,y * K(x,z),u),w) = K(L(x,y,u),w). T(x * K(L(y,z,u),w),K(w,v5)) \ T(x,K(w,v5)) = K(w,L(y,z * K(y,v6),u)). K(x,L(y,z * K(y,u),w)) = T(v5 * K(L(y,z,w),x),K(x,v6)) \ T(v5,K(x,v6)). (x * K(y,z)) * K(u,y) = x * (K(u,y) * K(y,z)). (x * (K(y,z) * K(z,u))) * K(u,z) = x * K(y,z). R(x,K(y,z),K(z,u)) = x. x != (y * K(z,u)) * K(u,u * z) | x = (y / R(u,z,u)) * u. x * (K(y,z) * K(z,z * y)) = (x / R(z,y,z)) * z. (x * K(y,z)) * K(z,u) = x * (K(z,u) * K(y,z)). R(x,T(K(y,z),u),K(z,w)) = x. (x * R(R(x,K(y,z),K(z,u)) \ (x * K(y,z)),w,v5)) * K(z,u) = R(x,K(y,z),K(z,u)) * (R(K(y,z),w,v5) * K(z,u)). R(x,L(K(y,z),u,w),K(z,v5)) = x. (x * y) \ (y * T(x,z)) = K(y,x) * K(x,z). 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) \ (y * T(x,z)) = K(x,z) * K(y,x). x != (y * z) \ (z * T(y,y \ z)) | x = a(y,z / y,y). K(x,y) * K(y,y \ x) = a(y,x / y,y). (x * y) \ (y * T(x,z)) != u | K(x,z) * K(y,x) = u. x != K(y,z) * K(z,z \ y) | x = z \ R(z,z \ y,z). a(x,y / x,x) = x \ R(x,x \ y,x). x \ R(x,x \ y,x) = a(x,y / x,x). a(x,y / x,x) \ K(y,x) = K(x \ y,x). a(x,y / x,x) * K(x,y) = K(x,x \ y). x \ R(x,y,x) = a(x,(x * y) / x,x). a(x,(x * y) / x,x) = x \ R(x,y,x). a(x,y,x) = x \ R(x,T(y,x),x). x \ R(x,T(y,x),x) = a(x,y,x). x \ R(x,y,x) = a(x,y,x). K(x * y,x) * K(x,y) = a(x,y,x). K(x,y) * K(x * y,x) = a(x,y,x). x != y \ R(y,z,y) | x = T(y,u) \ R(T(y,u),z,y). a(x,y,x) = T(x,z) \ R(T(x,z),y,x). T(x,y) \ R(T(x,y),z,x) = a(x,z,x). x != y \ R(y,z,u) | x = R(y,z,u) / y. a(x,y,x) = R(x,y,x) / x. R(x,y,x) / x = a(x,y,x). x * a(x,y,x) = R(x,y,x). a(x,y,x) * x = R(x,y,x). x * a(y,x,y) = T(y * x,y) / y. T(x * y,x) / x = y * a(x,y,x). x \ R(x,y \ 1,x) = a(x,x \ (y \ x),x). a(x,x \ (y \ x),x) = x \ R(x,y \ 1,x). K(x,T(y,z)) * a(y,u,y) = T(y,T(x,z)) \ R(y,u,y). T(x,T(y,z)) \ R(x,u,x) = K(y,T(x,z)) * a(x,u,x). T(x,y) * a(x,z,x) = R(T(x,y),z,x). K(x,y) * a(x,z,x) = x \ R(T(x,y),z,x). x \ R(T(x,y),z,x) = K(x,y) * a(x,z,x). x \ R(x,y,x) != z | z = a(x,y,x). x \ R(x,y,x) != z | a(x,y,x) = z. R(x,y,x) \ (x * (z * a(x,y,x))) = L(T(z,a(x,y,x)),a(x,y,x),x). K(x,x * y) * a(x,y,x) = K(x,y). a(x,y,x) * K(y,x) = K(x * y,x). (x * y) \ T(y * x,y) = a(y,x,y). K(x,y) * a(y,x,y) = K(y * x,y). a(x,y,x) \ K(x,y) != z | K(x,x * y) = z. a(x,y,x) * (y * x) = T(x * y,x). x != T(y * R(z,u,w),y) / y | x = R(T(y * z,y) / y,u,w). R(x,y,z) * a(u,R(x,y,z),u) = R(T(u * x,u) / u,y,z). R(T(x * y,x) / x,z,u) = R(y,z,u) * a(x,R(y,z,u),x). T(x,y) / y = (y \ x) * a(y,y \ x,y). (x \ y) * a(x,x \ y,x) = T(y,x) / x. T(x * a(y,x,y),y) = y \ T(y * x,y). (x * y) \ (y * (T(z * T(x,y),z) / z)) = L(a(z,T(x,y),z),T(x,y),y). (x * (y * z)) \ ((x * y) * (T(u * L(z,y,x),u) / u)) = L(a(u,L(z,y,x),u),L(z,y,x),x * y). (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) != w | L(L(a(u,z,u),z,y),y * z,x) = w. K(x * y,x) * K(x,y) != z | a(x,y,x) = z. K(x,y) * a(x,x \ y,x) = K(x,x \ y). L(a(x,y,x),K(x,x * y),z) = (z * K(x,x * y)) \ (z * K(x,y)). a(x,y,x) * K(y,x) = K(y * x,x). a(1 / ((x * y) \ x),T(z,y),1 / ((x * y) \ x)) * K(T(z,y),1 / ((x * y) \ x)) = K(z * (1 / ((x * y) \ x)),1 / ((x * y) \ x)). a(T(x,y * z),z,T(x,y * z)) * K(z,T(x,y)) = K(T(x,y * z) * z,T(x,y * z)). (x * y) * a(y,x,y) = T(y * x,y). K(x,y) * a(y,x,y) = K(x * y,y). R(T(x,T(x * y,x)),y * x,a(x,y,x)) = ((y * x) * a(x,y,x)) \ ((x * y) * x). a(x,y,x) * T(x,z) = R(T(x,z),y,x). T(x,y) \ ((x \ y) \ y) = a(x,x \ y,x). a(x,x \ y,x) = T(x,y) \ ((x \ y) \ y). a(x / y,z,x / y) * (x / y) = R(T(x / y,K(y,x)),z,x / y). R(T(x / y,K(y,x)),z,x / y) = a(x / y,z,x / y) * (x / y). x != y \ R(y,z,y) | x = a(y,z,y). a(x,x \ (y \ x),x) = a(x,y \ 1,x). x != a(y,y \ z,y) | x = T(y,z) \ ((y \ z) \ z). a(x,y \ 1,x) = T(x,y \ x) \ ((x \ (y \ x)) \ (y \ x)). T(x,y \ x) \ ((x \ (y \ x)) \ (y \ x)) = a(x,y \ 1,x). R(T(x,y),z,x) \ (x * ((K(x,y) * a(x,z,x)) * u)) = L(u,x \ R(T(x,y),z,x),x). L((K(x,y) * a(x,z,x)) \ u,x \ R(T(x,y),z,x),T(x,R(T(x,y),z,x))) = ((x * R(T(x,y),z,x)) / x) \ (T(x,R(T(x,y),z,x)) * u). (x * K(y,z)) * K(u,y) = x * (K(y,z) * K(u,y)). (x * (K(y,z) * K(z,u))) \ (x * T(z,u)) = T(z,y). (x * (K(y,z) * K(u,y))) * K(z,y) = x * K(u,y). K(x,y) * z != u * (K(x,y) * K(w,x)) | T(u * K(w,x),K(x,y)) = z. T(L(x,K(y,z),K(z,u)) * K(y,z),K(z,u)) = K(y,z) * T(x,K(z,u) * K(y,z)). (x / T(y,z)) * K(y,u) = (x / y) * (K(y,u) * K(z,y)). (x / y) * (K(y,z) * K(u,y)) = (x / T(y,u)) * K(y,z). (x * K(y,z)) \ (x * K(y,u)) = K(y,u) * K(z,y). R(x,K(y,z),K(u,y)) = x. L(K(x,y),K(y,z),u) = K(x,y). ((K(x,y) \ z) * ((K(x,y) \ 1) \ 1)) * K(u,x) = ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)). x * K(y,z) = (x * K(u,z)) * (K(z,u) * K(y,z)). (x * K(y,z)) * (K(z,y) * K(u,z)) = x * K(u,z). (x * K(y,z)) \ ((K(z,u) * K(y,z)) * (x / K(z,u))) = K(K(z,u) * K(y,z),R(x / K(z,u),K(z,u),K(y,z))). K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = (u * K(z,x)) \ ((K(x,y) * K(z,x)) * (u / K(x,y))). (x * K(y,z)) * K(u,y) != w | x * (K(y,z) * K(u,y)) = w. (x * K(y,z)) * L(K(u,y),w,v5) = x * (K(y,z) * L(K(u,y),w,v5)). L(K(x,T(y,z)),K(y,u),w) = K(x,T(y,z)). (x * K(y,z)) * K(u,T(y,w)) = x * (K(y,z) * K(u,T(y,w))). (x * (K(y,L(z,y,u)) * K(z,w))) \ (x * T(z,w)) = T(z,L(y,z,u)). x * K(y,z) != u * K(w,z) | x = u * (K(w,z) * K(z,y)). x = (x * (K(y,z) * K(u,y))) * (K(z,y) * K(y,u)). (x * (K(y,z) * K(u,y))) * (K(z,y) * K(y,u)) = x. ((x * K(y,z)) / (x * K(u,z))) \ 1 = (K(z,u) * K(y,z)) \ K(K(z,u) * K(y,z),x * K(u,z)). x * (K(y,z) * K(z,u)) = x / (K(z,y) * K(u,z)). x / (K(y,z) * K(u,y)) = x * (K(z,y) * K(y,u)). x / (K(y,z) * K(z,u)) = x * (K(z,y) * K(u,z)). x / (K(y,z) * K(z,u)) = x * (K(u,z) * K(z,y)). x * (y \ L(y,z,y)) = (x / R(y,z,y)) * y. (x / R(y,z,y)) * y = x * (y \ L(y,z,y)). R(x,y,x) \ x = x \ L(x,y,x). x * y != R(z,u,z) \ z | x \ (z \ L(z,u,z)) = y. x \ (x \ L(x,y,x)) = R(x,y,x) \ 1. x \ ((x \ L(x,y,x)) * T(x,z)) = T(x,z) * (R(x,y,x) \ 1). 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,L(y,y \ z,u)) = L(K(x,y),z,u). K(x,L(y,K(y,z) * u,w)) = L(K(x,y),T(y,z) * u,w). L(K(x,y),T(y,z) * u,w) = K(x,L(y,K(y,z) * u,w)). K(x * y,x) = K(x * y,L(x,y,z)). K(x * y,L(x,y,z)) = K(x * y,x). K((x \ y) \ (z * u),L(z,u,x)) = K(y \ (x * (z * u)),z). L(K(x,y / z),y,u) = K(x,L(y / z,z,u)). (x * (y * z)) * K(u,L(y,z,x)) = x * ((y * z) * K(u,y)). K(x,L(y,x,z)) != u | K(L(x,y,z),y) = u. K(x,K(y,L(z / u,u,w))) = K(x,K(z / u,L(y,z,w))). K(x,K(y / z,L(u,y,w))) = K(x,K(u,L(y / z,z,w))). 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. x != K(K(R(y,z,u),w) * v5,T(y,v6)) | x = K(v5,T(y,v6)). K(x * T(R(y,z,u),w),T(T(y,v5),K(R(y,z,u),w))) = K(x * R(y,z,u),T(y,v5)). (K(x,K(y,z)) * T(x,K(u,w))) \ x = K(u,K(w,x)) * K(z,K(x,y)). K(x,y) * T(z,T(x * z,y)) = T(z,x * z) * K(x,y). K(L(x,y,z),(x \ u) \ L(K(w,v5),v6,v7)) = K(L(x,y,z),u \ ((1 / x) \ L(K(w,v5),v6,v7))). K(L(x,y,z),u \ ((1 / x) \ L(K(w,v5),v6,v7))) = K(L(x,y,z),(x \ u) \ L(K(w,v5),v6,v7)). ((x * y) * z) \ ((y * x) * z) = K(y,z \ (y \ ((y * x) * z))). K(x,y \ (x \ ((x * z) * y))) = ((z * x) * y) \ ((x * z) * y). 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 != T(y,z / (1 / u)) | x = T(y,z * u). K(x,1 / (y / (y / (1 / z)))) = T(K(x,z),y * z). T(K(x,y),z * y) = K(x,1 / (z / (z / (1 / y)))). x != T(K(y,z),u * z) | x = K(y,T(z,u)). K(x,1 / (y / (y / (1 / z)))) = K(x,T(z,y)). L((x * (K(y,x) / T(x,z))) \ u,T(x,z) \ ((x \ 1) \ K(y,x)),T(x,z)) = ((x \ 1) \ K(y,x)) \ (T(x,z) * u). K(T(x,y),z \ T(x,u)) != w | K(x,T(z \ x,y)) = w. K((T(x,y) * z) \ u,K(x,w)) = K(x,K(w,z \ (x \ u))). (x * y) * (K(y,x) * z) = (K(y,x) * z) * T(x * y,z). (K(x,y) * z) * T(y * x,z) = (y * x) * (K(x,y) * z). K(x \ y,x) * T(z,y) = T(K(x \ y,x) * z,y). T(K(x \ y,x) * z,y) = K(x \ y,x) * T(z,y). T(K(x \ (y * x),x) * z,y * x) = K(y,x) * T(z,y * x). K(x,y) * ((y * R(x,z,u)) * x) = (x * y) * R(x,z,u). x != K(y,z / (u / R(y,w,v5))) | x = K(y,z / (R(y,w,v5) \ u)). K(x,(y * R(x,z,u)) / w) = K(x,y / (R(x,z,u) \ w)). K(x,y) * R(x,z,R(x,u,w)) = R(T(x,y),z,R(x,u,w)). K(T(x,y),R(z,u,w)) = K(T(x,z \ y),R(z,u,w)). K(T(x,y \ z),R(y,u,w)) = K(T(x,z),R(y,u,w)). T(x / y,z) * T(y,K(x,z)) = x * K(x / y,z). T(x / y,z) * T(y,K(x,z)) != x * u | K(x / y,z) = u. T(x / T(y,x),z) * T(T(y,x),K(x,z)) = x * K(T(x,y) / y,z). x != K(y,K(z,u \ 1)) | x = K(y,K(z,u)). R(K(x,K(y,z \ 1)),u,w) = K(x,K(y,R(z,u,w))). R(K(x,K(y,z \ 1)),u,w) * x = T(x,K(R(z,u,w) \ 1,y)). R(K(x,K(y,z)),u,w) = K(x,K(y,R(z,u,w))). R(K(x,K(y,z)),u,w) = K(y,K(z,R(x,u,w))). x != R(K(y,K(z,u)),w,v5) | x = K(y,R(K(z,u),w,v5)). K(x,K(y,R(z,u,w))) = K(x,R(K(y,z),u,w)). K(x,R(K(y,z),u,w)) = K(x,K(y,R(z,u,w))). x * R(K(x,K(y,z)),u,w) != v5 | T(x,K(y,R(z,u,w))) = v5. x != R(K(y,K(z,u)),w,v5) | x = K(z,R(K(y,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,z)) = K(x,K(y,R(z,y,u))). K(x,K(y,R(z,y,u))) = K(x,K(y,z)). K(x,K(y,(z * u) / (R(z,w,v5) * u))) = K(x,K(R(z,w,v5) \ z,R(y,z,u))). K(x,K(R(y,z,u) \ y,R(w,y,v5))) = K(x,K(w,(y * v5) / (R(y,z,u) * v5))). x != (y / z) * K(z \ y,T(z,u)) | x = T(y / z,T(z,u)). (x \ y) * K(z,K(x,y)) = T(y / x,T(x,z)). (x \ y) * K(x,K(y,z)) = T(y / x,T(x,z)). T(x \ y,K(z,y)) = T(y / x,T(x,z)). K(K(x,y),z \ y) = (z \ y) / T(y / z,T(z,x)). (x \ y) / T(y / x,T(x,z)) = K(K(z,y),x \ y). (x \ y) / T(y / x,T(x,z)) = K(z,K(y,x \ y)). (x \ y) / T(y / x,T(x,z)) = K(z,K(y,y / x)). x != K(y,K(z,z / u)) | x = K(z,K(y,u)). (x \ y) / T(y / x,T(x,z)) = K(y,K(z,x)). (x \ y) / T(y / x,T(x,z)) = K(x,K(y,z)). K(T(x,y),z) * ((y * z) / y) = (y * (z * K(x,z))) / y. L(K(x,y),T(x,z) * u,w) != v5 | K(L(x,u,w),y) = v5. L(K(x,y),x * z,u) != w | K(L(x,z,u),y) = w. x != (y / T(z,z * u)) * K(z,u) | x = y / L(z,u,z). (x / y) * (K(y,z) * K(y * z,y)) = x / L(y,z,y). (x / y) * a(y,z,y) = x / L(y,z,y). (x / y) \ (x / L(y,z,y)) = a(y,z,y). x * a(y,z,y) = (x * y) / L(y,z,y). (x * y) / L(y,z,y) = x * a(y,z,y). x != (1 / y) \ (1 / L(y,z,u)) | x = L(y,z,u) \ y. a(x,y,x) = L(x,y,x) \ x. L(x,y,x) \ x = a(x,y,x). x * y != L(z,u,z) \ z | x \ a(z,u,z) = y. x \ a(x,y,x) = L(x,y,x) \ 1. L(x,y,x) \ 1 = x \ a(x,y,x). a(x,y,x) \ x = L(x,y,x). K(R(L(x,y,x),x \ a(x,y,x),z),u) = K(L(x,y,x),u). (x / L(y,z,y)) * y = x * a(y,z,y). (x * a(y,z,y)) \ (x * y) = L(y,z,y). x != (y / L(z,u,z)) * z | x = z * (L(z,u,z) \ y). x * a(y,z,y) = y * (L(y,z,y) \ x). x * (L(x,y,x) \ z) = z * a(x,y,x). x * y = (x * L(y,z,y)) * a(y,z,y). (x * L(y,z,y)) * a(y,z,y) = x * y. ((x * y) * a(T(y,x),z,T(y,x))) \ ((y * x) * y) = L(T(y,x),z,T(y,x)). (T(x * y,x) / x) \ (y * x) = L(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). x != y * (L(y,z,u) \ w) | x = L(y,z,u) \ (y * w). x * a(y,z,y) = L(y,z,y) \ (y * x). L(x,y,x) \ (x * z) = z * a(x,y,x). K(x,y) * (z * a(x,u,x)) = T(x,y) * (L(x,u,x) \ z). L(x,y,x) * (z * a(x,y,x)) = x * z. L(x,y,x) \ z = (x \ z) * a(x,y,x). (x \ y) * a(x,z,x) = L(x,z,x) \ y. L(x,y,x) * z = x * (z / a(x,y,x)). x * (y / a(x,z,x)) = L(x,z,x) * y. x * y != L(x,z,u) * w | y = L(x,z,u) * (x \ w). x / a(y,z,y) = L(y,z,y) * (y \ x). L(x,y,x) * (x \ z) = z / a(x,y,x). x * y != L(z,u,z) * (z \ w) | x \ (w / a(z,u,z)) = y. (x / y) \ (x / a(y,z,y)) = L(y,z,y). (T(x * K(y \ x,z),x) / x) \ (x * K(x / y,z)) = L(x,K(y \ x,z),x). T(x,y) * (L(T(x,y),z,x) \ u) != u * w | a(x,z,x) = w. K(x,y) * (z * a(y,u,y)) = y * (L(T(y,x),u,y) \ z). K(x,K(y / z,(u * y) \ K(u,1 / u))) = K(x,K(y \ (1 / u),L(y / z,z,u))). K(x,K(y \ (1 / z),L(y / u,u,z))) = K(x,K(y / u,(z * y) \ K(z,1 / z))). (x * R(T(y,x),z,R(y,u,w))) * y = K(y,x) * ((x * R(y,z,R(y,u,w))) * y). K(x,y) * ((y * R(x,z,R(x,u,w))) * x) = (y * R(T(x,y),z,R(x,u,w))) * x. ((x * y) / x) / ((x * (y * K(z,y))) / x) = K(y,T(z,x)). ((x * y) / x) / ((x * (y * K(z / (u * w),y))) / x) = K(y,T(z / ((K(y,v5) * u) * w),x)). K(x,T(y / ((K(x,z) * u) * w),v5)) = ((v5 * x) / v5) / ((v5 * (x * K(y / (u * w),x))) / v5). x != L(y,z,u) \ L(T(y,w),z,u) | x = K(L(y,z,u),w). K(L(x,y,z),u * K(w,x)) = K(L(x,y,z),u). K(L(x,y,z),K(u,x) * w) = K(L(x,y,z),w). K(L(x,y,z),L(K(u,x),w,v5) * v6) = K(L(x,y,z),v6). x \ R(x,y * K(x,z),x) = K(x,y) * K(y * x,x). x != K(y,z) * K(z * y,y) | x = y \ R(y,z,y). x \ R(x,y * K(x,z),x) = x \ R(x,y,x). a(x,y * K(x,z),x) = x \ R(x,y,x). a(x,y * K(x,z),x) != u | a(x,y,x) = u. L(K(x,T(y \ z,u)),y \ z,w) = K(x,T((z \ y) \ 1,u)). L(K(x,T((y \ z) \ u,w)),u,y) = K(x,T(z \ (y * u),w)). K(x,R(T(y,z * u),y \ z,u)) = K(x,((y \ z) * u) \ (z * u)). T(x,x * y) * K(y,x) = L(x,T(y,K(x,z)),x). L(x,T(y,K(x,z)),x) = T(x,x * y) * K(y,x). x != T(y,y * z) * K(z,y) | x = L(y,z,y). L(x,T(y,K(x,z)),x) = L(x,y,x). x != L(y,T(z,K(y,u)),y) | x = L(y,T(z,T(y,u)),y). L(x,y,x) = L(x,T(y,T(x,z)),x). L(x,T(y,T(x,z)),x) = L(x,y,x). L(x,T(x,y) \ z,x) = L(x,z / T(x,y),x). L(x,y / T(x,z),x) = L(x,T(x,z) \ y,x). R(T(x,K(y,z)),K(z,y),x) \ T(K(z,y) * x,T(x,K(y,z))) = T(K(z,y),T(x,K(y,z))). x != T(y,(z * (1 / u)) \ w) | x = T(y,(z * (u \ 1)) \ w). T(x,R(y,x \ 1,x) \ (x * z)) = T(x,(y * (x \ 1)) \ z). x != y \ T(L(z,y \ 1,y),u) | x = (y \ 1) * T(z,u). T((x \ 1) * y,K(x,z)) = (x \ 1) * T(y,K(x,z)). K(x,y) * T((x \ 1) * z,K(x,y)) = (x \ 1) * (z * K(x,y)). K(R(x,y,R(x,z,u)),T(w,y * R(x,z,u))) = K(x,T(w,y)). K(x * (((y * z) \ y) \ 1),z) != u | K(((y * z) \ y) \ x,z) = u. (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). (x * K((y * z) / (y * u),((y * z) / (y * u)) \ 1)) * w = x * (w * K(L(u \ z,u,y),T(((y * z) / (y * u)) \ 1,y * u))). x * (y * K(L(z \ u,z,w),T(((w * u) / (w * z)) \ 1,w * z))) = (x * K((w * u) / (w * z),((w * u) / (w * 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)). T((x \ y) * x,y \ 1) \ y = (y \ 1) * (x * (y / x)). x * K(y,(x \ 1) * (z * x)) = K(y,L(z,x,x \ 1)) * x. K(x,(y * (z * x)) \ u) != w | K(x,(y * z) \ (x \ u)) = w. x != y * K(z,K(u,L(y,w,v5))) | x = T(y,K(z,L(u,w,v5))). x * (y * K(z,K(u,x * y))) = T(x * y,K(z,L(u,y,x))). K(K(a(x,y,T(z,y)),y),u) = K((x * (z * y)) \ ((x * y) * z),K(y,u)). K((x * (y * z)) \ ((x * z) * y),K(z,u)) = K(K(a(x,z,T(y,z)),z),u). K(x,R(T(K(x,y),z * u),z,u)) = K(x,a(K(x,y),z,u)). x != K(y,R(T(K(y,z),u),w,v5)) | x = 1. K(x,a(K(x,y),z,u)) = 1. T(x,a(K(x,y),z,u)) = x. T(a(K(x,y),z,u),x) = a(K(x,y),z,u). T(x,y) = T(T(x,y),a(K(x,z),u,w)). T(T(x,y),a(K(x,z),u,w)) = T(x,y). a(K(x,y),z,u) * x = x * a(K(x,y),z,u). a(K(x,y),z,u) * K(x,w) = K(x,w) * a(K(x,y),z,u). K(x,y) * a(K(x,z),u,w) = a(K(x,z),u,w) * K(x,y). x * K(a(K(x,y),z,u),w) = K(a(K(x,y),z,u),w) * x. K(a(K(x,y),z,u),w) * x = x * K(a(K(x,y),z,u),w). x != K(y,z) * K(u,y) | x = (y * u) \ (u * T(y,z)). x \ R(x,y,L(x,z,u)) = (x * (y * L(x,z,u))) \ ((y * L(x,z,u)) * T(x,y)). (x * (y * L(x,z,u))) \ ((y * L(x,z,u)) * T(x,y)) = x \ R(x,y,L(x,z,u)). x \ R(x,y,L(x,z,u)) != w | K(y * L(x,z,u),x) * K(x,y) = w. K(R(x,y / x,z),u) = K((y * z) / ((y / x) * z),T(u,y)). K(L(x,y * z,u),(u \ (u * (x * y))) \ (x * (y * z))) = K(x,L(L(z,y,x),x * y,u)). (x * (y * z)) * K(u,L(y,z,x)) = x * (y * (z * K(u,y))). T(x,R(K(y,z),u,w)) != v5 | T(x,K(y,R(z,u,w))) = v5. K(x,T(y \ z,u)) = K(x,T((z \ y) \ 1,u)). K(x,T((y \ z) \ 1,u)) = K(x,T(z \ y,u)). K(x,T(y \ 1,z)) = K(x,T((u * y) \ u,z)). K(x,T((y * z) \ y,u)) = K(x,T(z \ 1,u)). K(x,T((y \ z) / z,u)) = K(x,T(y \ 1,u)). K(x,T(y / z,u)) = K(x,T((z / y) \ 1,u)). K(x,T((y / z) \ 1,u)) = K(x,T(z / y,u)). K(x,T((y \ z) \ x,u)) = K(x,T(z \ (y * x),u)). x != K(y,T(z \ (u * y),u)) | x = K(y,(z / u) \ y). K(x,T((y \ z) \ x,y)) = K(x,(z / y) \ x). K(x,T((y \ z) \ x,y)) != u | K(x,(z / y) \ x) = u. K(x,T(y \ x,z)) = K(x,((z * y) / z) \ x). K(x,((y * z) / y) \ x) = K(x,T(z \ x,y)). K(x,(y / (y / z)) \ x) = K(x,T(z \ x,z \ y)). K(x,T(y \ x,y \ z)) = K(x,(z / (z / y)) \ x). K(x,R(1 / (1 / (1 / y)),y,z) \ x) = K(x,T((z / (y * z)) \ x,y)). K(x,T((y / (z * y)) \ x,z)) = K(x,R(1 / (1 / (1 / z)),z,y) \ x). T(x,R(y,x \ 1,x) \ z) = T(x,(y * (x \ 1)) \ (x \ z)). T(x,(y * (x \ 1)) \ (x \ z)) = T(x,R(y,x \ 1,x) \ z). x != K(R(y,z,R(y,u,w)),v5) | x = K(y,v5). K(x,T(y,z)) = K(x,T(y,z * R(x,u,w))). K(x,T(y,z * R(x,u,w))) = K(x,T(y,z)). K(x,T(y,z)) = K(x,T(y,z / R(x,u,w))). K(x,T(y,z / R(x,u,w))) = K(x,T(y,z)). x != K(y,T(z,u / R(y,w,v5))) | x = K(y,T(z,R(y,w,v5) \ u)). K(x,T(y,z)) = K(x,T(y,R(x,u,w) \ z)). K(x,T(y,R(x,z,u) \ w)) = K(x,T(y,w)). K(x,T(y,z)) = K(x,T(y,R(x,u,w) * z)). K(x,T(y,R(x,z,u) * w)) = K(x,T(y,w)). K(x,T(y,z * u)) = K(x,T(y,(x * z) * u)). K(x,T(y,(x * z) * u)) = K(x,T(y,z * u)). K(x,(R(x,y,z) * u) / w) = K(x,T(w \ (R(x,y,z) * u),u)). K(x,T(y \ (R(x,z,u) * w),w)) = K(x,(R(x,z,u) * w) / y). K(x,T(y,R(x,z,u) * w)) = K(x,y) * K(x,K(y,w)). x != K(y,T(z,(y * u) * w)) | x = K(y,T(z,(u * y) * w)). K(x,T(y,z * u)) = K(x,T(y,(z * x) * u)). K(x,T(y,(z * x) * u)) = K(x,T(y,z * u)). K(x,((y * x) * z) \ u) = K(x,T(u / ((y * x) * z),y * z)). K(x,T(y / ((z * x) * u),z * u)) = K(x,((z * x) * u) \ y). K(x,K(y,R(x,z,u) * w)) = K(x,K(y,w)). K(x,T(y,R(x,z,u) * w)) != v5 | K(x,T(y,w)) = v5. K(x,K(y,z)) = K(x,K(y,R(x,u,w) \ z)). K(x,K(y,R(x,z,u) \ w)) = K(x,K(y,w)). K(x,K(y,(x * z) * u)) = K(x,K(y,z * u)). K(x,K(y,z \ R(x,u,w))) = K(x,K(y,z)). K(x,K(y,z)) = K(x,K(y,R(x,u,w) / z)). K(x,K(y,R(x,z,u) / w)) = K(x,K(y,w)). K(x,K(y,z)) = K(x,K(y,z * R(x,u,w))). K(x,K(y,z * R(x,u,w))) = K(x,K(y,z)). K(x,K(y,(y * z) * u)) = K(y,K(x,z * u)). K(x,K(y,z * u)) * K(y,x) = K(y,T(x,(x * z) * u)). K(x,T(y,x * z)) != u | K(x,T(y,z)) = u. K(x,y / (x * z)) != u | K(x,T((x * z) \ y,z)) = u. K(x,T(y,z * u)) = K(x,T(y,(y * z) * u)). K(x,T(y,(y * z) * u)) = K(x,T(y,z * u)). K(x,T(y,z * u)) = K(x,T(y,(y \ z) * u)). K(x,T(y,(y \ z) * u)) = K(x,T(y,z * u)). K(x \ y,T(x,z)) = K(x \ y,T(x,y * z)). K(x \ y,T(x,y * z)) = K(x \ y,T(x,z)). K(x \ (y / z),T(x,y)) = K(x \ (y / z),T(x,z)). K(x \ (y / z),T(x,z)) = K(x \ (y / z),T(x,y)). 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)). x != K(y,T(z,L(y,u,w) * (w * u))) | x = K(y,T(z,w * (u * y))). K(x,T(y,z * u)) = K(x,T(y,z * (u * x))). K(x,T(y,z * (u * x))) = K(x,T(y,z * u)). K(x,T(y,z)) = K(x,T(y,L(x,u,w) \ z)). K(x,T(y,L(x,z,u) \ w)) = K(x,T(y,w)). x != K(y,T(z,L(y,u,w) \ v5)) | x = K(y,T(z,v5 / L(y,u,w))). K(x,T(y,z)) = K(x,T(y,z / L(x,u,w))). K(x,T(y,z / L(x,u,w))) = K(x,T(y,z)). K(x,T(y,z * (u / x))) = K(x,T(y,z * u)). 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)). x != K(y,T(z,u * z)) | x = K(y,T(z,u)). K(x,T(x * y,z * y)) = K(x,T(x * y,z)). 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)). 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)). K(x,T((y * (x \ z)) \ u,y * z)) != w | K(x,u / (y * (x \ z))) = w. K(x,T((y \ 1) * (z * y),y)) = K(x,L(z,y,y \ 1)). T(x * y,K(z,u)) = T(x * y,K(z,L(u,y,x))). T(x * y,K(z,L(u,y,x))) = T(x * y,K(z,u)). x != K((y * z) / (u * z),T(w,y)) | x = R(K(u \ y,w),y,z). K(R(x,y / x,z),u) = R(K((y / x) \ y,u),y,z). R(K((x / y) \ x,z),x,u) = K(R(y,x / y,u),z). R(K(x,y),z,u) = K(R(x,z / x,u),y). K(R(x,y / x,z),u) = R(K(x,u),y,z). K(R(x,y,z),u) = R(K(x,u),y * x,z). R(K(x,y),z * x,u) = K(R(x,z,u),y). K(x,R(y,x,z)) = K(R(x,y,z),y). K(R(x,y,z),y) = K(x,R(y,x,z)). R(K(x,y),z * (K(u,y) * x),w) = K(R(K(u,y) * x,z,w),y). K(R(x,y,z),y) != u | K(x,R(y,x,z)) = u. T(x,R(y,x,z)) = x * K(R(x,y,z),y). x * K(R(x,y,z),y) = T(x,R(y,x,z)). (x * (y * (K(z,y) \ (y \ u)))) * K(z,L(y,K(z,y) \ (y \ u),x)) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). x * (K(y,z) * L(T(y,x),u,w)) = L(y,u,w) * (x * K(y,z)). (((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z)) * K((K(x,y) / x) * (x * z),u) = T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),u). K(x,T((y \ 1) * ((z \ y) * z),u)) != w | K(z,K(x,T(y,u))) = w. T(T(x * K(y,x),z),u) \ T(T(x,z),u) = K(x,T(T(y,u),z)). T(T(x * K(y,x),z),u) \ T(T(x,z),u) != w | K(x,T(T(y,u),z)) = w. (x * K(y,T(z,u))) * K(z,w) = (x * K(z,w)) * K(y,T(z,u)). x != K(y \ z,y) * K(u,z / y) | x = y \ (z / T(z / y,u)). K(x,y / z) * K(z \ y,z) = z \ (y / T(y / z,x)). 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(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). R(K(x,y),T(T(y,z),u),w) = K(x,y). K(x,y) \ z = T(T(y,u),K(x,y)) * ((T(y,u) * K(x,y)) \ z). T(T(x,y),K(z,x)) * ((T(x,y) * K(z,x)) \ u) = K(z,x) \ u. K(x,K((y * x) / z,T(u,z))) = K(x,K(u,(z / x) \ y)). K(x,K(y,z \ (u * x))) = K(x,K(y,(z / x) \ u)). K(x,K(y,(z / x) \ u)) = K(x,K(y,z \ (u * x))). K(x,y) * (z * T(z \ (K(x,y) \ u),x)) = z * T(z \ u,x). K(x / y,z) / (y \ x) = (1 / (y \ x)) * K(x / y,z). (1 / (x \ y)) * K(y / x,z) = K(y / x,z) / (x \ y). x * K(1 / x,y) = K(1 / x,y) / (x \ 1). K(1 / x,y) / (x \ 1) = x * K(1 / x,y). x != K(y,z) / (u \ 1) | x = 1 / (u \ K(z,y)). x * K(1 / x,y) = 1 / (x \ K(y,1 / x)). 1 / (x \ K(y,1 / x)) = x * K(1 / x,y). 1 / ((x * (y \ 1)) / x) = y * K(1 / y,x). 1 / ((x * ((y / z) \ 1)) / x) = (y / z) * K(z / y,x). x != K(T(y,y \ z),u) | x = K(T(y,z),u). K(x,y / ((x \ 1) * z)) = K(T(x,z),((x \ 1) * z) \ y). K(T(x,y),((x \ 1) * y) \ z) = K(x,z / ((x \ 1) * y)). K(T(x,T(y,x)),((T(x,y) \ 1) * y) \ z) = K(x,z / ((x \ 1) * T(y,x))). 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). 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. K(x,R(y,z,u)) = K(x,R(y,z * K(y,w),u)). K(x,R(y,z * K(y,u),w)) = K(x,R(y,z,w)). K(x,R(y,z * K(y,u),w)) != v5 | K(x,R(y,z,w)) = v5. K(x,R(y,z,u)) = K(x,R(y,T(z,y),u)). K(x,R(y,T(z,y),u)) = K(x,R(y,z,u)). K(x,R(y,K(y,z) * u,w)) = K(x,R(y,u,w)). R(K(x,y),z * y,u) = K(x,R(y,z,u)). R(K(x,y \ z),z,u) = K(x,R(y \ z,y,u)). R(K(x,y),z * T(y,u),w) = K(x,R(y,z * K(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. R(K(x,y \ R(y,z,u)),R(y,z,u),z * u) = K(x,((y * z) * u) / (y * (z * u))). R(K(x,y),z * T(y,u),w) != v5 | K(x,R(y,z,w)) = v5. R(K(x,y),z * y,u) != w | K(x,R(y,z,u)) = w. R(K(x,y),z * (y * K(u,x)),w) != v5 | K(x,R(y * K(u,x),z,w)) = v5. K(R(x,K(x,y) * z,u),w) = K(R(x,z,u),w). K(R(x,K(x,y) * z,u),w) != v5 | K(R(x,z,u),w) = v5. x != K(R(y,K(y,z) * (y \ u),w),v5) | x = R(K(y,v5),K(y,z) * u,w). K(R(x,x \ y,z),u) = R(K(x,u),K(x,w) * y,z). R(K(x,y),K(x,z) * u,w) = K(R(x,x \ u,w),y). K(R(x,y,z),u) = K(R(x,K(w,x) * y,z),u). K(R(x,K(y,x) * z,u),w) = K(R(x,z,u),w). R(K(x,y),K(x,z) * u,w) = R(K(x,y),u,w). R(K(x,y),z / x,u) = R(K(x,y),x \ z,u). R(K(x,y),x \ y,z) * ((y / T(x,y)) * z) = (y / x) * z. (x / y) * z != u * ((x / T(y,x)) * z) | R(K(y,x),y \ x,z) = u. x * ((y / T(z,y)) * u) != (y / z) * u | R(K(z,y),z \ y,u) = x. K(x,K(y,z)) = K(x,(T(z,y) / u) / (z / u)). K(x,(T(y,z) / u) / (y / u)) = K(x,K(z,y)). x != (K(y,z) / u) * K(y,K(z,1 / u)) | x = T(K(y,z),1 / u) / u. T(K(x,y) / z,K(x,y)) = T(K(x,y),1 / z) / z. T(K(x,y) / z,K(x,y)) = K(x,T(y,1 / z)) / z. T(K(x,y) / z,K(x,y)) = K(x,T(y,z)) / z. T(K(x,y) / z,K(x,y)) * K(u,z) = K(x,T(y,z)) / T(z,u). K(x * (y / (T(z,z \ 1) * y)),z \ 1) = K(x * ((T(z,z \ 1) * y) \ (((z \ 1) \ 1) \ (T(z,z \ 1) * y))),z \ 1). K(x * ((T(y,y \ 1) * z) \ (((y \ 1) \ 1) \ (T(y,y \ 1) * z))),y \ 1) = K(x * (z / (T(y,y \ 1) * z)),y \ 1). 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((x * y) \ (z \ x),z) = K(y \ (z \ 1),z). K(x \ (y \ z),y) = K((z \ x) \ (y \ 1),y). K((x \ y) \ (z \ 1),z) = K(y \ (z \ x),z). T(x,(y \ z) \ (x \ 1)) = 1 / (x \ K(z \ (x \ y),x)). 1 / (x \ K(y \ (x \ z),x)) = T(x,(z \ y) \ (x \ 1)). T(x,y \ (x \ z)) = T(x,(z \ y) \ (x \ 1)). T(x,(y \ z) \ (x \ 1)) = T(x,z \ (x \ y)). T(x,(x * (y \ z)) \ 1) = T(x,z \ (x \ y)). x != K(y,(z * K(u \ y,u)) \ w) | x = K(y,z \ w). K(x,(K(y \ x,y) * z) \ x) = K(x,z \ x). x != K(y,(K(z,u) * w) \ y) | x = K(y,w \ (K(u,z) * y)). K(x,y \ x) = K(x,y \ (K(z,z \ x) * x)). K(x,y \ (K(z,z \ x) * x)) = K(x,y \ x). K(x,y \ (z * (x / z))) = K(x,y \ x). K(x,y \ ((z \ x) * z)) = K(x,y \ x). K(x,((y \ x) * (y / z)) \ x) != u | L(K(x,z),y,y \ x) = u. x != K(y \ z,y) * T(u,y \ z) | x = (z / y) \ (u * (y \ z)). T(x,y / z) * K(z \ y,z) = (y / z) \ (x * (z \ y)). x * y != T(z,u / w) * K(w \ u,w) | x \ ((u / w) \ (z * (w \ u))) = y. x \ ((y / z) \ (x * (z \ y))) = K(x,y / z) * K(z \ y,z). T(K(x,y) * z,K(y,u)) = K(y,u) * (K(x,y) * (z * K(u,y))). K(x,y) * (K(z,x) * (u * K(y,x))) = T(K(z,x) * u,K(x,y)). T(K(x,y) * T(z,K(y,u)),K(y,u)) = K(y,u) * (K(x,y) * (K(y,u) \ z)). K(x,y) * z != K(x,T(y,(y \ u) \ w)) | z = K(x,K(y,u \ w)). K(x,K(y,z \ (u * y))) = K(x,K(y,z \ u)). K(x,K(y,z \ (u * y))) = K(y,K(x,z \ u)). K(x,K(y,R(z,u,w) * (z \ y))) = K(x,K(y,z \ R(z,u,w))). K(x,K(y,z \ u)) = K(x,K(y,z \ (y \ u))). K(x,K(y,z \ (y \ u))) = K(x,K(y,z \ u)). K(x,K(y,z \ (u * x))) = K(x,K(y,z \ u)). K(x,K(T(y,z),u \ (y * z))) = K(T(y,z),K(x,u \ z)). x != K(y,K(z,u \ (w * y))) | x = K(y,K(z,(u / y) \ w)). K(x,K(y,z \ u)) = K(x,K(y,(z / x) \ u)). K(x,K(y,(z / x) \ u)) = K(x,K(y,z \ u)). K(x,y) * K(x,K(y,z \ u)) = T(K(x,y),(z \ (u * x)) \ 1). T(K(x,y),(z \ (u * x)) \ 1) = K(x,y) * K(x,K(y,z \ u)). x != K(y,K(z,(u / y) \ w)) | x = K(y,K(z,(y \ u) \ w)). K(x,K(y,z \ u)) = K(x,K(y,(x \ z) \ u)). K(x,K(y,(x \ z) \ u)) = K(x,K(y,z \ u)). K(x,K(y,z \ (x \ u))) = K(x,K(y,u \ z)). K(x,y) * K(x,K(y,z \ u)) = K(x,T(y,(x \ z) \ u)). x != K(y,K(z,u \ (y \ w))) | x = K((T(y,v5) * u) \ w,K(y,z)). K(x,K(y,z \ u)) = K((T(x,w) * u) \ z,K(x,y)). K((T(x,y) * z) \ u,K(x,w)) = K(x,K(w,u \ z)). K(x,K(y,(T(x,z) * u) \ w)) = K(x,K(y,w \ u)). K(x,K(y,T(z \ (y * u),u))) = K(T(y,u),K(x,z \ u)). K(x,T(y,z \ u)) = K(x,T(y,(x \ z) \ u)). K(x,T(y,(x \ z) \ u)) = K(x,T(y,z \ u)). 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,(x * z) \ u)). K(x,T(y,(x * z) \ u)) = K(x,T(y,z \ u)). x != K(y,T(z,u \ (y * w))) | x = K(y,T(z,u \ (w * y))). K(x,T(y,z \ u)) = K(x,T(y,z \ (u * x))). K(x,T(y,z \ (u * x))) = K(x,T(y,z \ u)). K(x,T(y,a(x,z,u))) = K(x,T(y,(z * u) \ ((x * z) * u))). K(x,T(y,(z * u) \ ((x * z) * u))) = K(x,T(y,a(x,z,u))). K(x \ y,T(z,u \ y)) = K(x \ y,T(z,u \ x)). K(x \ 1,T(y,z \ x)) != u | K(x \ 1,T(y,z)) = u. K(x,K(y,(y * z) / u)) = K(T(y,z),K(x,u \ z)). K(T(x,y),K(z,u \ y)) = K(z,K(x,(x * y) / u)). K(T(x,y),K(z,u \ y)) = K(x,K(z,(x * y) / u)). K(x,K(T(y,z),u \ z)) = K(y,K(x,(y * z) / u)). K(x,K(y,z / u)) = K(y,K(x,(y * z) / u)). K(x,K(y,(x * z) / u)) = K(y,K(x,z / u)). K(x,K(y,(x * z) / u)) != w | K(x,K(y,z / u)) = w. K(x,T(y,R(T(x,z * u),z,u))) = K(x,T(y,a(x,z,u))). K(x,y) = K(x,T(y,a(x,z,u))). K(x,T(y,a(x,z,u))) = K(x,y). K(x,y / a(x,z,u)) = K(x,a(x,z,u) \ 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). x != K(y,(z \ R(y,u,u \ 1)) / a(y,u,u \ 1)) | x = K(y,z \ y). K(x,a(x,y,y \ 1) \ (z \ R(x,y,y \ 1))) = K(x,z \ x). (x * K((y \ 1) \ (z \ x),z)) * u = (y \ ((z \ (y * x)) * z)) * u. (x \ ((y \ (x * z)) * y)) * u = (z * K((x \ 1) \ (y \ z),y)) * u. T(K(x,y),T(z,x * u)) = T(K(x,y),T(z,u * x)). T(K(x,y),T(z,u * x)) = T(K(x,y),T(z,x * u)). T(K(x,y \ (z * x)),y) = T(K(x,y \ (z * x)),T(y,x * z)). T(K(x,y \ (z * x)),T(y,x * z)) = T(K(x,y \ (z * x)),y). x != K(y,K(z \ u,u)) | x = K(y,K(z,u)). K(x,(1 / y) * ((z \ ((1 / y) \ 1)) * z)) = K(x,K(y,z)). K(x,(1 / y) * ((z \ y) * z)) = K(x,K(y,z)). x != K(y,(1 / z) * u) | x = K(y,(z \ 1) * u). K(x,K(y,z)) = K(x,(y \ 1) * ((z \ y) * z)). K(x,(y \ 1) * ((z \ y) * z)) = K(x,K(y,z)). x != K(y,z) * (K(y,u) * (z * y)) | x = T(y,u) * z. K(x,T(x \ y,z)) * (K(y,z) * x) = T(x,x \ y) * K(y,z). R(x,K(y,T(z,u)),u * K(z,w)) = R(x,K(y,z),u * K(z,w)). K((x * y) \ (z \ u),z) = K((x * (y * z)) \ u,z). K((x * (y * z)) \ u,z) = K((x * y) \ (z \ u),z). x != K((y * (z * u)) \ w,u) | x = K((y * (u * z)) \ w,u). K((x * y) \ (z \ u),z) = K((x * (z * y)) \ u,z). K((x * (y * z)) \ u,y) = K((x * z) \ (y \ u),y). K(x \ y,1 / z) = K((x * z) \ ((1 / z) \ y),1 / z). K((x * y) \ ((1 / y) \ z),1 / y) = K(x \ z,1 / y). T(x,(y * (x * z)) \ u) = 1 / (x \ K((y * z) \ (x \ u),x)). 1 / (x \ K((y * z) \ (x \ u),x)) = T(x,(y * (x * z)) \ u). x != K(y,1 / (z \ u)) | x = K(y,u \ z). K((x * (y \ z)) \ ((1 / (y \ z)) \ u),1 / (y \ z)) = K(x \ u,z \ y). x != K(y,R(T(y,z),u,w) * v5) | x = K(y,R(y,u,w) * v5). K(x,y \ R(T(x,z),u,w)) = K(x,R(x,u,w) * (y \ 1)). x != K(y,R(y,z,u) * (w \ 1)) | x = K(y,w \ R(y,z,u)). K(x,y \ R(T(x,z),u,w)) = K(x,y \ R(x,u,w)). x != K(y,z \ R(T(y,u),w,v5)) | x = K(y,R(T(y,u),w,v5) / z). K(x,y \ R(x,z,u)) = K(x,R(T(x,w),z,u) / y). K(x,R(T(x,y),z,u) / w) = K(x,w \ R(x,z,u)). x != K(y,z \ R(y,u,w)) | x = K(y,R(y,u,w) / z). K(x,R(T(x,y),z,u) / w) = K(x,R(x,z,u) / w). K(x,R(T(x,y),z,u) / w) != v5 | K(x,w \ R(x,z,u)) = v5. T(T(x,1 / (y / z)),K(y,z)) = T(x,1 / T(y / z,y)). T(T(x,1 / (y / z)),K(z,z / y)) = T(x,1 / (z \ y)). x != T(y,K(z,z / u)) | x = T(y,K(u,z)). T(x,1 / (y \ z)) = T(T(x,1 / (z / y)),K(z,y)). T(T(x,1 / (y / z)),K(y,z)) = T(x,1 / (z \ y)). x != T(T(y,1 / (z / u)),K(z,u)) | x = T(y,1 / T(z / u,z)). T(x,1 / (y \ z)) = T(x,1 / T(z / y,z)). T(x,1 / T(y / z,y)) = T(x,1 / (z \ y)). T(x,T(1 / (y / z),y)) = T(x,1 / (z \ y)). T(x,T(1 / y,z)) = T(x,1 / ((y \ z) \ z)). T(x,1 / ((y \ z) \ z)) = T(x,T(1 / y,z)). x != T(y,1 / (((z \ u) \ u) \ u)) | x = T(y,1 / (u / z)). T(x,T(1 / (y \ z),z)) = T(x,1 / (z / y)). x != T(y,T(1 / (z \ u),u)) | x = T(y,K(u,z / u) / (z \ u)). T(x,1 / (y / z)) = T(x,K(y,z / y) / (z \ y)). T(x,K(y,z / y) / (z \ y)) = T(x,1 / (y / z)). T(x,R(y / (y / z),u,w)) = x * K(T(x,y),R(z,u,w)). x != y * K(T(y,z),R(u,w,v5)) | x = T(y,R((z * u) / z,w,v5)). T(x,R(y / (y / z),u,w)) = T(x,R((y * z) / y,u,w)). T(x,R((y * z) / y,u,w)) = T(x,R(y / (y / z),u,w)). x != T(y,R((z * u) / z,w,v5)) | x = T(y,R(T(u,z),w,v5)). T(x,R(y / (y / z),u,w)) = T(x,R(T(z,y),u,w)). x != T(y,R(z / (z / u),w,v5)) | x = T(y,R(T(u,u \ z),w,v5)). T(x,R(T(y,z),u,w)) = T(x,R(T(y,y \ z),u,w)). T(x,R(T(y,y \ z),u,w)) = T(x,R(T(y,z),u,w)). T(x,R((y \ z) \ z,u,w)) = T(x,R(T(y,z),u,w)). T(x,R(((y / T(1 / z,u)) \ 1) \ K(z,z \ 1),w,v5)) = T(x,R(T(y / T(z \ 1,u),K(z,z \ 1)),w,v5)). R(x * a(y,x,y),z,u) = R(x,z,u) * a(y,R(x,z,u),y). R(x,y,z) * a(u,R(x,y,z),u) = R(x * a(u,x,u),y,z). x != T(y,z) * (R(y,u,w) \ 1) | x = R(y,u,w) \ T(y,z). x \ ((x \ L(x,y,x)) * T(x,z)) = R(x,y,x) \ T(x,z). x \ (K(x,y) * L(x,z,x)) = R(x,z,x) \ T(x,y). x \ L(T(x,y),z,x) = R(x,z,x) \ T(x,y). R(x,y,x) \ T(x,z) = x \ L(T(x,z),y,x). x != R(y,z,y) \ T(y,u) | x = R((u * y) / u,z,y) \ y. x \ L(T(x,y),z,x) = R((y * x) / y,z,x) \ x. R((x * y) / x,z,y) \ y = y \ L(T(y,x),z,y). T(T(x,y) / T(R(x,z,x),u),R(x,z,x)) = (x \ L(T(x,y),z,x)) * K(u,R(x,z,x)). (T(x,y) / T(R(x,z,x),u)) * K(x \ L(T(x,y),z,x),R(x,z,x)) = T(T(x,y) / T(R(x,z,x),u),R(x,z,x)). T(x / ((y \ L(T(y,z),u,y)) \ y),T(R((z * y) / z,u,y),y)) = ((R((z * y) / z,u,y) \ y) \ y) \ x. x != K(y,z \ (y \ ((y * u) * z))) | x = K(y,R(T(u,z),y,z)). ((x * y) * z) \ ((y * x) * z) = K(y,R(T(x,z),y,z)). T(K(x,y) * z,x * y) = K(x,y) * T(z,x * y). T(x,y * z) * K(z,y) = T(x * K(z,y),y * z). T(x * K(y,z),z * y) = T(x,z * y) * K(y,z). (x * (y * z)) \ ((y * z) * T(x * K(z,y),y * z)) = L(K(z,y),T(x,y * z),y * z). (x * (y * z)) * L(K(z,y),T(x,y * z),y * z) = (y * z) * T(x * K(z,y),y * z). R(K(x,K(y,z)),u,w) * x = T(x,K(R(y,u,w) \ 1,z)). T(x,K(R(y,z,u) \ 1,w)) = R(K(x,K(y,w)),z,u) * x. T(x,K(R(y,z,u) \ 1,w)) = K(x,R(K(y,w),z,u)) * x. T(x,K(R(y,z,u) \ 1,w)) = T(x,R(K(y,w),z,u)). T(x,K(y,R(z,u,w))) = T(x,R(K(z,y),u,w)). T(x,R(K(y,z),u,w)) = T(x,K(z,R(y,u,w))). T(x,K(y,R(z,u,w))) = T(x,K(z,R(y,u,w))). T(x,K(y,R(z,u,w))) != v5 | T(x,K(z,R(y,u,w))) = v5. T(K(x,y) * z,K(x,R(u,w,v5))) = K(x,y) * T(z,K(u,R(x,w,v5))). ((x \ 1) * y) * K(x,z) = (x \ 1) * (y * K(x,z)). L(K(x,y),z,x \ 1) = K(x,y). ((x \ 1) * (y * K(x,z))) \ ((x \ 1) * y) = K(z,x). x != L(y,z,(u \ 1) \ 1) | x = L(y,z,u). K(x \ 1,y) = L(K(x \ 1,y),z,x). L(K(x \ 1,y),z,x) = K(x \ 1,y). K(L(x,y,x) \ 1,z) = K(x \ 1,z). (x * y) * K(x \ 1,z) = x * (y * K(x \ 1,z)). K(x \ 1,y) = K(R(x,z,x) \ 1,y). K(R(x,y,x) \ 1,z) = K(x \ 1,z). K((x \ 1) \ 1,y) = R(K(x,y),z,x \ 1). R(K(x,y),z,x \ 1) = K((x \ 1) \ 1,y). K(x \ 1,y) * (z * x) = (K(x \ 1,y) * z) * x. (K(x \ 1,y) * z) * x = K(x \ 1,y) * (z * x). R(K(x,y),z,x \ 1) = K(x,y). K(x,R(y,z,x \ 1)) = K(x,y). T(x,R(y,z,x \ 1)) = x * K(x,y). R(x,y,z \ 1) * K(z,x) = R(x * K(z,x),y,z \ 1). R(x * K(y,x),z,y \ 1) = R(x,z,y \ 1) * K(y,x). T(x,R(y,z,x \ 1)) = T(x,y). T(x,T((y * (x \ 1)) / z,z / (x \ 1))) = T(x,(z / (x \ 1)) \ y). L(K(x,y),z,y \ 1) = K(x,y). K(L(x,y,z \ 1),z) = K(x,z). 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). K(((x \ 1) * y) \ z,T(x,y)) = K(((x \ 1) \ z) / y,x). R(x,y,K(x \ 1,z)) = x. R(T(x,y),z,K(x \ 1,u)) = T(x,y). x != R(T(y,z * K(y \ 1,u)),z,K(y \ 1,u)) | x = T(y,z). T(x,y * K(x \ 1,z)) = T(x,y). x * y != T(z,u * K(z \ 1,w)) | x \ T(z,u) = y. x \ T(x,y) = K(x,y * K(x \ 1,z)). K(x,y * K(x \ 1,z)) = x \ T(x,y). T(x,K(x \ 1,y) * z) = T(x,z). T(x,T(y,x \ 1) \ z) = T(x,y \ z). T(x,K(1 / x,y) * z) = T(x,z). T(x \ 1,K(x,y) * z) = T(x \ 1,z). T(x,((x \ 1) \ y) \ z) = T(x,(y / (x \ 1)) \ z). T(x,(y / (x \ 1)) \ z) = T(x,((x \ 1) \ y) \ z). T(x,y) = T(x,K(z,1 / x) * y). T(x,K(y,1 / x) * z) = T(x,z). K(K(x,1 / y) * z,y) = y / T(y,z). K(x,y * K(x \ 1,z)) = K(x,y). K(x,y) = K(x,y * K(z,x \ 1)). K(x,y * K(z,x \ 1)) = K(x,y). K(x,T(y,x \ 1) \ z) = K(x,y \ z). K(x \ y,z * K(u,y \ x)) = K(x \ y,z). x * (T(K(y,z),x) * T(y \ 1,x)) = L(y \ 1,T(K(y,z),x),x) * (K(y,z) * x). L(x \ 1,T(K(x,y),z),z) * (K(x,y) * z) = z * (T(K(x,y),z) * T(x \ 1,z)). K(K(x,1 / y) * z,y) = K(z,y). K(K(x,y \ 1) * z,y) = K(z,y). K(T(x,1 / y) / z,y) = K(x / z,y). K(K(x,x \ y) * z,x / y) = K(z,x / y). K(x \ T(y,z \ 1),z) = K(x \ y,z). K(x * K(y,z \ 1),z) = K(x,z). K(x / y,z) = K(x / T(y,z \ 1),z). K(x / T(y,z \ 1),z) = K(x / y,z). K(x * K(y,z \ u),u \ z) = K(x,u \ z). L(K(x,y \ (z \ u)),z \ u,z) = K(x,(z * T(y,x \ 1)) \ u). K(T(x / (1 / (1 / y)),1 / z) / (1 / y),z) = K((x / y) / (y \ 1),z). K(x \ y,z * (x / y)) = K(x \ y,z * (y \ x)). K((x \ y) \ z,x / y) = K((y / x) \ z,x / y). K((x / y) \ z,y / x) = K((y \ x) \ z,y / x). K(x * (y / z),y \ z) = K(x * (z \ y),y \ z). L(x,y,K(x \ 1,z)) = x. L(x \ 1,y,K(x,z)) = x \ 1. L(x \ 1,x,y) = (K(x,z) * (y * x)) \ (K(x,z) * y). (K(x,y) * (z * x)) \ (K(x,y) * z) = L(x \ 1,x,z). (1 / (x \ y)) * (z / (1 / (x \ y))) = z * K(y \ x,z * (y / x)). K((x \ y) \ z,x / y) = K(((y / x) \ 1) * z,x / y). K(((x / y) \ 1) * z,y / x) = K((y \ x) \ z,y / x). ((1 / (x \ y)) \ z) * (1 / (x \ y)) = z * K(z * (y / x),y \ x). R(x * K(y,x),z,y \ 1) = K(y,x) * R(x,z,y \ 1). x * y != K(z,u) * R(u,w,z \ 1) | x \ R(u * K(z,u),w,z \ 1) = y. x \ R(x * K(y,x),z,y \ 1) = K(y,x) * (x \ R(x,z,y \ 1)). L(L(T(x,y),z,u),K(x,w),y) \ (L(x,z,u) * (y * K(x,w))) = T(y * K(x,w),L(L(T(x,y),z,u),K(x,w),y)). T(T(x * K(y * T(x,z),x),u),w) \ T(T(x,u),w) = K(x,T(T(T(x,z) * y,w),u)). x != (y * K(z,u)) * K(w,T(z,v5)) | x = y * (K(z,u) * K(w,T(z,v5))). (x * K(y,T(z,u))) * K(z,w) = x * (K(z,w) * K(y,T(z,u))). T(T(x,y),K(z,x)) * ((T(x,y) * K(z,x)) \ u) = K(x,z) * u. K(x,y) * (z * T(z \ u,x)) = z * T(z \ (K(x,y) * u),x). ((1 / x) * K(y,z)) * K(u,x) = K(y,T(z,x)) / T(x,u). x != K(y,z / u) * K(u \ z,u) | x = u \ (z / T(z / u,y)). x \ ((y / z) \ (x * (z \ y))) = z \ (y / T(y / z,x)). K(x,K(y,R(z,u,w) * (z \ y))) != v5 | K(x,K(y,R(z,u,w) \ z)) = v5. T(K(x,y),(z \ (u * x)) \ 1) = T(K(x,y),z \ u). T(K(x,y),z \ (u * x)) = T(K(x,y),z \ u). T(K(x,y),z \ u) = T(K(x,y),z \ (u / x)). T(K(x,y),z \ (u / x)) = T(K(x,y),z \ u). L(K(x,y),z,u) \ L(T(K(x,y),w \ v5),z,u) = K(L(K(x,y),z,u),w \ (v5 / x)). x != T(K(y,z),T(u,y * w)) | x = T(K(y,z),T(u,w)). T(K(x,y \ (z * x)),y) = T(K(x,y \ (z * x)),T(y,z)). T(K(x,y \ (z * x)),T(y,z)) = T(K(x,y \ (z * x)),y). K(x,T(y \ (z * x),T(y,z))) = T(K(x,y \ (z * x)),y). x != T(K(y,z \ (u * y)),z) | x = K(y,(z / u) \ y). K(x,T(y \ (z * x),T(y,z))) = K(x,(y / z) \ x). x != K(y,(z / R(z,u,w)) \ y) | x = K(y,y * (z \ R(z,u,w))). K(x,T(y \ (R(y,z,u) * x),T(y,R(y,z,u)))) = K(x,x * (y \ R(y,z,u))). T(x,(y * z) \ (x \ u)) = T(x,(y * (x * z)) \ u). T(x,(y * (x * z)) \ u) = T(x,(y * z) \ (x \ u)). x != T(y,(z * (y * u)) \ w) | x = T(y,(z * (u * y)) \ w). T(x,(y * z) \ (x \ u)) = T(x,(y * (z * x)) \ u). T(x,(y * (z * x)) \ u) = T(x,(y * z) \ (x \ u)). L(T(x,(y * z) \ (x \ u)),w,v5) \ L(x,w,v5) = K((y * (z * x)) \ u,L(x,w,v5)). T(T(x,K(y,x)),z * x) * ((T(x,x * z) * K(y,x)) \ u) = K(x,y) * u. K(x,y) * (K(z,x) * u) = ((1 / z) * u) * T(((1 / z) * u) \ (K(x,y) * u),x). ((1 / x) * y) * T(((1 / x) * y) \ (K(z,u) * y),z) = K(z,u) * (K(x,z) * y). R(K(x,T((y / z) \ x,u)),x,z) = K(x,T((y / (x * z)) \ 1,u)). K(R(T(x,y),x \ z,z \ y),u) = K(((x \ z) * (z \ y)) \ y,u). x != R(y * K(z,y),u,w) \ R(y,u,w) | x = K(R(y,u,w),z). K(R(x,y,z),u * K(x,w)) = K(R(x,y,z),u). K(R(x,y,z),u) = K(R(x,y,z),u * K(w,x)). K(R(x,y,z),u * K(w,x)) = K(R(x,y,z),u). x != K(y,(z * (y * u)) \ w) | x = K(y,(z * u) \ (y \ w)). L(K(x,y \ (x \ (z \ u))),z \ u,z) = K(x,(z * y) \ (x \ u)). x != (K(y,z) * (u * y)) \ (K(y,z) * u) | x = L(y \ 1,y,u). L(x \ 1,x,K(x,y) * z) = L(x \ 1,x,z). L(x \ 1,x,y * K(x,z)) = L(x \ 1,x,y). L(x \ 1,T(x,y),z) = L(x \ 1,x,z). T(x * L(x \ 1,x,y),z) = T(x,z) * ((y * T(x,z)) \ y). L(x \ 1,x,y) * L(L(x \ 1,T(x,z),y) \ 1,u,w) = L((x \ 1) * L((x \ 1) \ 1,u,w),T(x,z),y). K(L(x,y,z),T(u,w)) = K(L(x,y,z),T(u,x \ w)). K(L(x,y,z),T(u,x \ w)) = K(L(x,y,z),T(u,w)). x != K(L(y,z,u),T(w,y \ v5)) | x = K(L((y \ v5) \ v5,z,u),w). K(L(x,y,z),T(u,w)) = K(L((x \ w) \ w,y,z),u). K(L((x \ y) \ y,z,u),w) = K(L(x,z,u),T(w,y)). (x * K(L(y,z,u),T(w,v5))) \ (x * w) = T(w,L((y \ v5) \ v5,z,u)). T(x,L((y \ z) \ z,u,w)) = (v5 * K(L(y,u,w),T(x,z))) \ (v5 * x). x != L(T(y,z),K(y,u),w) | x = T(y,z). (x * y) \ ((T(x,z) * y) * x) = T(x,T(z,y)). (x * y) \ ((T(x,z \ (u * x)) * y) * x) = T(x,T((u \ z) \ x,y)). a(x,y,T(x,z)) = a(x,y * K(x,z),x). a(x,y * K(x,z),x) = a(x,y,T(x,z)). a(x,y,T(x,z)) != u | a(x,y,x) = u. K(R((x * y) / x,z,u),T(w,y * x)) = K(L(R(y,z,u),x,y),w). K(x,K(y,(z * u) \ ((z * x) * u))) = 1. R(K(x,T(T(y,z),z * u)),z,u) = (z * u) \ ((z * K(x,y)) * u). K(x,K(y,T(z \ (x * u),x \ z))) = K(x,K(y,u / (x \ z))). x != K(y,K(z,T(u,y \ w))) | x = K(y,K(z,T(u,w))). K(x,K(y,z / (x \ u))) = K(x,K(y,T(u \ (x * z),u))). K(x,K(y,T(z \ (x * u),z))) = K(x,K(y,u / (x \ z))). K(x,K(y,(x * z) / u)) = K(x,K(y,z / (x \ u))). K(x,K(y,z / u)) = K(x,K(y,z / (x \ u))). K(x,K(y,z / (x \ u))) = K(x,K(y,z / u)). K(x,K(y,z / u)) = K(x,K(y,z / (x * u))). K(x,K(y,z / (x * u))) = K(x,K(y,z / u)). x * y != R(K(z,u),w,v5) \ R(T(K(z,u),v6),w,v5) | x \ K(v6,R(K(z,u),w,v5)) = y. R(K(x,y),z,u) \ K(w,R(K(y,x),z,u)) = R(T(K(y,x),w),z,u). L(K(x,y \ ((z \ u) * x)),z \ u,z) = K((x \ 1) \ 1,(z * (y / x)) \ u). L(K(x,(y \ x) \ ((z \ u) * x)),z \ u,z) = K(x,(z * ((((y \ x) / x) * y) * (1 / y))) \ u). x / (x / R(K(y,z),u,w)) = (R(K(y,z),u,w) \ x) \ x. x != K(y,T(z,L(z,u,w) * (z \ v5))) | x = K(y,T(z,L(z,u,w) * v5)). L(K(x,T(y,z)),z,L(y,u,w)) = K(x,T(y,L(y,u,w) * z)). x \ R(x,y,R(x,z,u)) = K(y * R(x,z,u),x) * K(x,y). K(x * R(y,z,u),y) * K(y,x) = y \ R(y,x,R(y,z,u)). x != K(y,z) * K(z,u) | x = (z * y) \ (y * T(z,u)). x \ R(x,y,R(x,z,u)) = (x * (y * R(x,z,u))) \ ((y * R(x,z,u)) * T(x,y)). (x * (y * R(x,z,u))) \ ((y * R(x,z,u)) * T(x,y)) = x \ R(x,y,R(x,z,u)). L(K(x,y),z,L(y,u,w)) != v5 | K(x,y) = v5. L(K(x,y),z,y) != u | K(x,y) = u. K(x,L(y,z,y)) != u | K(x,y) = u. x != K(y,R(T(z,u),z \ w,v5)) | x = R(K(y,T(z,u)),w,v5). K(x,((y \ z) * u) \ (z * u)) = R(K(x,T(y,z * u)),z,u). x != (y * (K(z,u) * w)) / (y * w) | x = K((y * w) / (y * (z \ w)),u). L(K(x,T(T(y,z),u * z)),z,u) = K((u * z) / (u * (x \ z)),y). L(T(K(x,T(y,z * u)),u),u,z) = (z * (K(x,y) * u)) / (z * u). K(x,y) * K(L(x,z,u) * y,x) = L(x,y,L(x,z,u)) \ x. K(L(x,y,z) * u,x) * K(x,u) = L(x,u,L(x,y,z)) \ x. K(x,(y * z) \ u) = K(x,(y * T(z,x \ 1)) \ u). K(x,(y * T(z,x \ 1)) \ u) = K(x,(y * z) \ u). K(x,(y * (x \ 1)) \ z) = K(x,((x \ 1) * y) \ z). K(x,((x \ 1) * y) \ z) = K(x,(y * (x \ 1)) \ z). K(x,(y * z) \ u) = K(x,(y * (((x \ 1) * z) / (x \ 1))) \ u). K(x,(y * (((x \ 1) * z) / (x \ 1))) \ u) = K(x,(y * z) \ u). x != K(y,(z * (y \ 1)) \ (y \ u)) | x = K(y,z \ u). K(x,((x \ 1) * y) \ (x \ z)) = K(x,y \ z). x != K(y,((y \ 1) * z) \ (y \ u)) | x = K(y,L(z,y \ 1,y) \ u). K(x,y \ z) = K(x,L(y,x \ 1,x) \ z). K(x,L(y,x \ 1,x) \ z) = K(x,y \ z). K(x,T((y / z) \ x,u)) = K(x,T((y / (x * z)) \ 1,u)). K(x,T((y / (x * z)) \ 1,u)) = K(x,T((y / z) \ x,u)). x != K(y,T((z / u) \ 1,z)) | x = K(y,z \ u). K(x,T((y / z) \ x,y)) = K(x,y \ (x * z)). K(x,T((y / z) \ x,y)) = K(x,y \ (z * x)). K(x,T(y \ x,z)) = K(x,z \ (x * (y \ z))). K(x,y \ (x * (z \ y))) = K(x,T(z \ x,y)). K(x,T(y \ x,z)) = K(x,z \ ((y \ z) * x)). K(x,y \ ((z \ y) * x)) = K(x,T(z \ x,y)). K(x,(y / x) \ (z \ y)) = K(x,T(z \ x,y)). x != K(y,z \ ((((z \ u) \ 1) \ z) * y)) | x = K(y,T((z \ u) * y,u)). K(x,T(((y \ z) \ 1) \ x,y)) = K(x,T((y \ z) * x,z)). x != K(y,(y * z) \ (u * y)) | x = K(y,z \ u). K(x,T(y \ x,x * z)) = K(x,z \ (y \ (x * z))). K(x \ y,x \ (z \ y)) = K(x \ y,T(z \ (x \ y),y)). K(x \ y,T(z \ (x \ y),y)) = K(x \ y,x \ (z \ y)). K(x,T(y \ x,z)) = K(x,z \ (y \ (x * z))). K(x,y \ (z \ (x * y))) = K(x,T(z \ x,y)). K(x,L(K(y,z),u,w) * (v5 \ (x * L(K(z,y),u,w)))) = K(x,T(v5 \ x,L(K(z,y),u,w))). K(x,T((y \ z) * x,z)) = K(x,T((y \ z) * x,y)). K(x / y,z \ (y \ x)) = K(y \ x,y \ (z \ x)). x != K(y / z,u \ (z \ y)) | x = K(z \ y,(u * z) \ y). K(x \ y,x \ (z \ y)) = K(x \ y,(z * x) \ y). K(x \ y,(z * x) \ y) = K(x \ y,x \ (z \ y)). K(((x \ y) / z) \ y,(x * ((x \ y) / z)) \ y) = K(((x \ y) / z) \ y,z). K(R(T(x,y / (((x \ y) \ 1) \ 1)),x \ y,y \ (y / (((x \ y) \ 1) \ 1))),z) = K(((y \ (y / (x \ y))) * (x \ y)) \ (y / (((x \ y) \ 1) \ 1)),z). K(R(x,y,z),T(T(u,x * w),w)) = K(L(R(x,y,z),w,x),u). K(R(x,y,z),T(T(u,w),x * w)) = K(L(R(x,y,z),w,x),u). x != K(R(y,z,u),T(w,y * v5)) | x = K(R(y,z,u),T(w,v5)). K(L(R(x,y,z),u,x),w) = K(R(x,y,z),T(T(w,u),u)). K(R(x,y,z),T(T(u,w),w)) = K(L(R(x,y,z),w,x),u). K(R(x,y,z),u) = K(L(R(x,y,z),w,x),u). K(L(R(x,y,z),u,x),w) = K(R(x,y,z),w). K(R(L(x,y,x),z,u),w) = K(R(x,z,u),w). x != K(R(L(y,z,y),y \ a(y,z,y),u),w) | x = K(L(y,z,y),w). K(R(x,x \ a(x,y,x),z),u) = K(L(x,y,x),u). x != K(L(y,z,y),u) | x = K(y,u). K(R(x,x \ a(x,y,x),z),u) = K(x,u). K(x,y) * (a(x,z,x) * u) = (K(x,y) * a(x,z,x)) * u. (K(x,y) * a(x,z,x)) * u = K(x,y) * (a(x,z,x) * u). K(x,y) * z = K(x,x * y) * (a(x,y,x) * z). K(x,x * y) * (a(x,y,x) * z) = K(x,y) * z. K(x * y,x) * (K(x,y) * z) = a(x,y,x) * z. K(x,x * y) * z = K(x,y) * (a(x,y,x) \ z). K(x,y) * (a(x,y,x) \ z) = K(x,x * y) * z. K(x,y) * z != K(x,x * y) * u | a(x,y,x) * z = u. K(x,x * y) * z != K(x,y) * u | a(x,y,x) * u = z. K(x * y,y) * (K(y,x) * z) = a(y,x,y) * z. K(x,y) * (K(y,y * x) * z) = a(y,x,y) \ z. K(x,x * y) * z != K(x,y) * (a(x,y,x) \ u) | z = u. K(x * y,y) * (x * (K(y,x) * z)) = a(y,x,y) * (x * z). K(x,y) * (K(y,x * y) * z) = a(y,x,y) \ z. ((x * y) \ ((x * K(z,u)) * y)) \ 1 = R(K(T(T(u,x),x * y),z),x,y). R(K(T(T(x,y),y * z),u),y,z) = ((y * z) \ ((y * K(u,x)) * z)) \ 1. L(T(K(x \ y,T(x,z)),z),z,y) = (y * (K(x \ y,x) * z)) / (y * z). T(x,((y \ 1) \ z) \ ((u \ 1) \ 1)) = T(x,T((y / (1 / z)) \ u,1)). T(x,y) * K(z,T(x,y)) = T(x * K(z,x),K(x,u) * y). T(x * K(y,x),K(x,z) * u) = T(x,u) * K(y,T(x,u)). x != T(y,z) * K(u,T(y,z)) | x = T(y * K(u,y),z). T(x * K(y,x),K(x,z) * u) = T(x * K(y,x),u). x != T(y * K(z * R(y,u,w),y),z) | x = R(y,z,R(y,u,w)). T(x * K((K(x,y) * z) * R(x,u,w),x),z) = R(x,K(x,y) * z,R(x,u,w)). x != L(T(y,z),u,w) \ L(y,u,w) | x = K(z,L(y,u,w)). K(x * K(L(y,z,u),w),L(y,v5,v6)) = K(x,L(y,v5,v6)). K(K(L(x,y,z),u) * w,L(x,v5,v6)) = K(w,L(x,v5,v6)). K(K(x,y) * z,L(x,u,w)) = K(z,L(x,u,w)). K(x \ y,L(z,u,w)) = K(x \ T(y,z),L(z,u,w)). K(x \ T(y,z),L(z,u,w)) = K(x \ y,L(z,u,w)). K(x \ (y \ z),L(y,u,w)) = K(x \ (z / y),L(y,u,w)). K(x \ (y / z),L(z,u,w)) = K(x \ (z \ y),L(z,u,w)). R(x,y,x * K(z,x)) = R(x,y,T(x * K(z,x),u)). R(x,y,T(x * K(z,x),u)) = R(x,y,x * K(z,x)). R(x,y,x) = R(x,y,x * K(z,x)). R(x,y,x * K(z,x)) = R(x,y,x). R(x \ y,z,y / x) = R(x \ y,z,x \ y). T(x * K(y,z),z / (z / y)) = ((z * y) / z) \ (x * y). L(K(x,T(y,z)),u,L(y,w,v5)) = K(x,T(y,z)). x != L(K(y,T(z,u)),u,L(z,w,v5)) | x = K(y,T(z,L(z,w,v5) * u)). K(x,T(y,z)) = K(x,T(y,L(y,u,w) * z)). K(x,T(y,L(y,z,u) * w)) = K(x,T(y,w)). L(K(x,T(y,z)),u,y) = K(x,T(y,z)). K((x \ y) \ z,T(x,u)) = K(y \ (x * z),T(x,u)). K(x,T(y,z)) = K(x,T(y,L(y,u,w) \ z)). K(x,T(y,L(y,z,u) \ w)) = K(x,T(y,w)). K(x,T(y,z * (u * y))) = K(x,T(y,z * u)). K(x,T(y \ z,u * z)) = K(x,T(y \ z,u * y)). K(x,T(y,z * (y * u))) = K(x,T(y,z * u)). K(x * y,T(x,z * y)) != u | K(x * y,T(x,z)) = u. 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),T(y,z)) != u | K(z / (y \ x),y) = u. K((x * y) / z,x) = K(y / (x \ z),x). K(x / (y \ z),y) != u | K((y * x) / z,y) = u. x != K(y / T(z,u \ 1),u) | x = K(y / z,u). K(x / (y \ T(z,y \ 1)),y) = K((y * x) / z,y). K(x,T(y \ x,z)) = K(x,T(y \ x,z * y)). K(x,T(y \ x,z * y)) = K(x,T(y \ x,z)). K(x,T(y \ x,z)) = K(x,T(y \ x,z / y)). K(x,T(y \ x,z / y)) = K(x,T(y \ x,z)). x != K(y,T(z \ y,u / z)) | x = K(y,T(z \ y,z \ u)). K(x,T(y \ x,z)) = K(x,T(y \ x,y \ z)). K(x,T(y \ x,y \ z)) = K(x,T(y \ x,z)). x != K(y,T(z \ y,z \ u)) | x = K(y,(u / (u / z)) \ y). K(x,T(y \ x,z)) = K(x,(z / (z / y)) \ x). K(x,(y / (y / z)) \ x) = K(x,T(z \ x,y)). x != K(y,((y * z) / u) \ y) | x = K(y,u / z). K(x,T(y \ x,x * z)) = K(x,((x * z) / y) / z). K(x,T(y \ x,z)) = K(x,((x * z) / y) / z). K(x,((x * y) / z) / y) = K(x,T(z \ x,y)). x != K(y,z / R(T(y,u),w,v5)) | x = K(y,R(y,w,v5) \ z). K(x,T(y \ x,R(T(x,z),u,w))) = K(x,R(x,u,w) \ ((x * R(T(x,z),u,w)) / y)). K(x,R(x,y,z) \ ((x * R(T(x,u),y,z)) / w)) = K(x,T(w \ x,R(T(x,u),y,z))). K(T(x,y) * z,T(x,u * z)) != w | K(x * z,T(x,u)) = w. K((x * y) / z,x) != u | K(y / (x \ z),x) = u. K(x / (y \ T(z,y \ 1)),y) != u | K(x / (y \ z),y) = u. x != K(y \ z,T(u,y * K(z,y))) | x = K(z / y,u). K(x \ y,T(z,(x \ y) \ T(y,x))) = K(y / x,z). K(x \ y,T(z,T(y,x))) = K(y / x,z). K(a(x,y,z),(((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u)) = K(a(x,y,z),T((((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u),x * (y * z))). K(a(x,y,z),T((((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u),x * (y * z))) = K(a(x,y,z),(((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u)). K(x,(T(y,z) / u) / (y / u)) * (y / u) = T(y,K(x,z)) / u. ((T(x,K(y,z)) / u) * u) / x = R(K(y,(T(x,z) / u) / (x / u)),x / u,u). R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = ((T(y,K(x,z)) / u) * u) / y. x * (T(y,K(z,u)) / w) != y / w | K((T(y,u) / w) / (y / w),z) = x. K(x,K(y,z)) * (z / u) = T(z,K(x,y)) / u. K(x,K(y,z)) * (T(z,K(x,y)) / u) = z / u. K(x,K(y,z)) * u = T(z,K(x,y)) / (u \ z). T(x,K(y,z)) / (u \ x) = K(y,K(z,x)) * u. K(x,K(y,z)) * (T(x,K(z,y)) / u) = x / u. T(x,K(y,z)) / (u \ x) = K(x,K(y,z)) * u. (K(x,K(y,z)) * u) \ T(x,K(y,z)) = u \ x. L(x \ y,x,K(y,K(z,u))) = x \ y. a(K(x,K(y,z)),u,u \ x) = 1. a(K(x * y,K(z,u)),x,y) = 1. a(K(K(x,y),z),u,u \ z) = 1. a(K(x,K(y,z * u)),z,u) = 1. x != 1 | x = K(y,K(z,u)) * K(y,K(z,u)). a(K(K(x,y),z),u,u \ z) = K(w,K(v5,v6)) * K(w,K(v5,v6)). x != T(y,T(T(z \ u,w),z)) | x = T(y,T(u / z,w)). T(x,(((y \ 1) \ 1) \ z) / z) = T(x,T((y \ z) / z,T(y,u))). T(x,T((y \ z) / z,T(y,u))) = T(x,(((y \ 1) \ 1) \ z) / z). x != T(y,(z \ u) / u) | x = T(y,z \ 1). T(x,T((y \ z) / z,T(y,u))) = T(x,((y \ 1) \ 1) \ 1). x != T(y,((z \ 1) \ 1) \ u) | x = T(y,z \ u). T(x,T((y \ z) / z,T(y,u))) = T(x,y \ 1). x != (y * K(z,T(u,w))) * K(u,v5) | x = y * (K(u,v5) * K(z,T(u,w))). (x / T(y / (y / z),u)) * z = x * (K(z,z \ y) * K(u,T(z,y))). x * (K(y,y \ z) * K(u,T(y,z))) = (x / T(z / (z / y),u)) * y. K(x,K(y \ (z * u),z * u)) = K(x,K(z * u,(z \ y) \ u)). K(x,K(y,z * u)) = K(x,K(z * u,(z \ y) \ u)). K(x,K(y * z,(y \ u) \ z)) = K(x,K(u,y * z)). K(x,K(y * z,z \ (y \ u))) = K(x,K(u,y * z)). K(x,K((y * z) * u,u \ ((y * z) \ (y * (z * u))))) = K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))). T(x / y,T((y * z) \ x,y)) != u | T(x / y,T(z \ (y \ x),y)) = u. K(x,K(y,z)) * ((K(x,y) * z) \ u) = (z * K(x,y)) \ u. x != K(y \ K(y,z),T(u,z)) | x = K(y \ 1,u). K(x,y \ K(y,z)) \ K(z,K(x,y \ 1)) = K(y \ 1,x). K(x,y \ K(y,z)) * K(y \ 1,x) = K(z,K(x,y \ 1)). K(x,y \ K(y,z)) * K(y \ 1,x) = K(x,K(z,y \ 1)). K(x \ 1,y) * K(y,x \ K(x,z)) = K(y,K(z,x \ 1)). K(x,K(y,z \ 1)) \ (K(z \ 1,x) * (z \ K(z,y))) = T(z \ K(z,y),x). 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)). K(x,T(y,T((x * z) \ u,z))) = K(x,y) * K(x,K(y,u / (x * z))). x != R(y,z,u) * (y \ K(w,T(y,v5))) | x = T(y,T(w,v5)) \ R(y,z,u). (x \ R(x,y,z)) * T(K(u,x),w) = T(x,T(u,w)) \ R(x,y,z). x != (y \ R(y,z,y)) * T(K(z,y),u) | x = K(z * y,y) * K(z,K(y,u)). T(x,T(y,z)) \ R(x,y,x) = K(y * x,x) * K(y,K(x,z)). K(x * y,y) * K(x,K(y,z)) = T(y,T(x,z)) \ R(y,x,y). K(x * y,T(y,z)) = T(y,T(x,z)) \ R(y,x,y). T(x,T(y,z)) \ R(x,y,x) = K(y * x,T(x,z)). x != T(y,T(z,u)) \ R(y,w,y) | x = K(z,T(y,u)) * a(y,w,y). K(x * y,T(y,z)) = K(x,T(y,z)) * a(y,x,y). K(x,T(y,z)) * a(y,x,y) = K(x * y,T(y,z)). K(x / y,z) * a(z,y \ x,z) = K((y \ x) * z,T(z,y)). K(x * y,T(y,z)) \ (K(x,T(y,z)) * y) = L(y,x,y). K(x * y,T(y,z)) \ (y * K(x,T(y,z))) = L(y,x,y). T(x,T(y * x,z)) * K(y,T(x,z)) = L(x,y,x). T(x,T(x * y,z)) * K(y,T(x,z)) = L(x,y,x). x != T(y,z) * K(u,T(y,w)) | x = K(u,T(y,w)) * T(y,z). L(x,y,x) = K(y,T(x,z)) * T(x,T(x * y,z)). K(x,T(y,z)) * T(y,T(y * x,z)) = L(y,x,y). x != T(y,y * z) * R(y \ T(y * z,y),u,w) | x = T(y * R(z,u,w),y * z). T(T(x,x * y) * R(x \ (x * y),z,u),x) = T(x * R(y,z,u),x * y). K((x * (y / z)) \ u,z) != w | K((x * (z \ y)) \ u,z) = w. K(x \ ((y * z) * K(y,u)),T(y,w)) = K(x \ (z * T(y,u)),T(y,w)). (x * K(y,z)) * R(K(z,u),w,v5) = x * (R(K(z,u),w,v5) * K(y,z)). x * R(K(y,z),u,w) = (x * K(y,v5)) * (K(v5,y) * R(K(y,z),u,w)). (x * K(y,z)) * (K(z,y) * R(K(y,u),w,v5)) = x * R(K(y,u),w,v5). (x * L(K(y,z),u,w)) * K(z,v5) = x * (K(z,v5) * L(K(y,z),u,w)). x != (y * K(z,u)) \ (y * K(z,w)) | x = K(z,w) * K(u,z). L(a(x,y,x),K(x,x * y),z) = K(x,y) * K(x * y,x). x != K(y,z) * K(y * z,y) | x = a(y,z,y). L(a(x,y,x),K(x,x * y),z) = a(x,y,x). x / a(y,z,y) = (x / (K(y,y * z) * a(y,z,y))) * K(y,y * z). (x / (K(y,y * z) * a(y,z,y))) * K(y,y * z) = x / a(y,z,y). R(T(x / y,K(y,x)),z,x / y) != u * (x / y) | a(x / y,z,x / y) = u. x * L(K(y,z),u,w) = (x * K(v5,z)) * (K(z,v5) * L(K(y,z),u,w)). (x * K(y,z)) * (K(z,y) * L(K(u,z),w,v5)) = x * L(K(u,z),w,v5). (K(x,K(y,z)) * T(y,K(u,w))) \ y = K(u,K(w,y)) * K(x,K(y,z)). K(x / T(y,x),z) = K(T(x,y) / y,z). K(T(x,y) / y,z) = K(x / T(y,x),z). T(x / T(y,x),z) * T(y,T(x,z)) = x * K(T(x,y) / y,z). K(T(x * K(y,x),z) / z,u) = K(((y * x) / y) / T(z,(y * x) / y),u). (x \ (y * z)) * x = (y * K((z \ 1) \ (x \ y),x)) * z. (x * K((y \ 1) \ (z \ x),z)) * y = (z \ (x * y)) * z. (x * K(y * (z \ x),z)) * y = (z \ (x * y)) * z. (x * K((y \ z) \ x,z)) * y = (z \ (x * y)) * z. x * y != (z \ ((y \ (z * u)) * y)) * z | x = y \ (u * z). (x \ (y * z)) * K(x * (y \ (x \ (y * z))),y) = x \ (z * y). K(x,y \ (z * x)) != u | K(x,y \ (x * z)) = u. K(x,(x \ y) \ z) != u | K(x,y \ (x * z)) = u. x \ R(x * K(y,x),y,y \ 1) = K(y,x) * a(x,y,y \ 1). x \ ((y * x) * (y \ 1)) = K(y,x) * a(x,y,y \ 1). K(x,y) * a(y,x,x \ 1) = y \ ((x * y) * (x \ 1)). K(x,(x \ ((y * x) * (y \ 1))) \ z) = K(x,a(x,y,y \ 1) \ z). K(x,((y * x) * (y \ 1)) \ (x * z)) = K(x,a(x,y,y \ 1) \ z). x != (y * K(z,T(u,w))) \ (y * u) | x = T(u,T(z,w)). T(x,L((y \ z) \ z,u,w)) = T(x,T(L(y,u,w),z)). T(x,L((y \ z) \ z,u,w)) = T(x,L(T(y,z),u,w)). T(x,L(T(y,z),u,w)) = T(x,L(T(y,z * y),u,w)). T(x,L(T(y,z * y),u,w)) = T(x,L(T(y,z),u,w)). x != (y * z) \ ((T(y,u) * z) * y) | x = T(y,T(u,z)). T(x,T((y \ z) \ x,u)) = T(x,T(z \ (y * x),u)). x != T(y,z \ ((u \ 1) \ 1)) | x = T(y,z \ u). T(x,T((y / (1 / z)) \ u,1)) = T(x,((y \ 1) \ z) \ u). T(x,(y / (1 / z)) \ u) = T(x,((y \ 1) \ z) \ u). x != T(y,(1 / (1 / z)) \ ((u \ 1) * w)) | x = T(y,z \ ((w \ u) \ 1)). T(x,((1 \ 1) \ y) \ ((z \ 1) * u)) = T(x,y \ ((u \ z) \ 1)). T(x,y \ ((z \ 1) * u)) = T(x,y \ ((u \ z) \ 1)). T(x,y \ ((z \ u) \ 1)) = T(x,y \ ((u \ 1) * z)). x * (T(y / (y / z),u) \ z) = (x / T(y / (y / z),u)) * z. (x / T(y / (y / z),u)) * z = x * (T(y / (y / z),u) \ z). (x / T(1 / (1 / y),z)) * y = x * (y * (1 / T(y,z))). x != K(y,z) * K(y,K(z,u)) | x = K(y,T(z,u)). K(x,T(y,T((x * z) \ u,z))) = K(x,T(y,u / (x * z))). K(x,T(y,T((x * z) \ u,z))) = K(x,y) * K(x,K(y,u / z)). K(x,T(y,T((x * z) \ u,z))) = K(x,T(y,u / z)). x != K(y,T(z,T((y * u) \ w,u))) | x = K(y,T(z,w / (y * u))). K(x,T(y,z / u)) = K(x,T(y,z / (x * u))). K(x,T(y,z / (x * u))) = K(x,T(y,z / u)). K(x,T(y,z / u)) = K(x,T(y,z / (x \ u))). K(x,T(y,z / (x \ u))) = K(x,T(y,z / u)). T(x,T(y,z / (x \ u))) = x * K(x,T(y,z / u)). T(x,T(y,z / (x \ u))) = T(x,T(y,z / u)). x != T(y,T((z * (y \ 1)) / u,u / (y \ 1))) | x = T(y,(u / (y \ 1)) \ z). T(x,T((y * (x \ 1)) / z,z / 1)) = T(x,(z / (x \ 1)) \ y). T(x,T((y * (x \ 1)) / z,z)) = T(x,(z / (x \ 1)) \ y). T(x,y \ (z * (x \ 1))) = T(x,(y / (x \ 1)) \ z). T(x,(y / (x \ 1)) \ z) = T(x,y \ (z * (x \ 1))). x != K(y \ (z * K(u,w)),T(u,v5)) | x = K(y \ z,T(u,v5)). K(x \ (y * T(z,u)),T(z,w)) = K(x \ (z * y),T(z,w)). K((x * T(y,z)) / u,y) = K(u \ (y * x),T(y,x)). K(x \ (y * z),T(y,z)) = K((z * T(y,u)) / x,y). K((x * T(y,z)) / u,y) != w | K(x / (y \ u),y) = w. x * y != (z * R(K(u,w),v5,v6)) * R(K(w,u),v5,v6) | z / y = x. x / (K(y,z) * R(K(z,u),w,v5)) = (x * R(K(u,z),w,v5)) * K(z,y). (x * (K(y,z) * L(K(u,y),w,v5))) * K(z,y) = x * L(K(u,y),w,v5). T(T(x,K(y,z)),K(y,u)) \ x = K(y,K(u,x)) * K(y,K(x,z)). T(T(x,K(y,z)),K(y,u)) \ x = K(x,K(y,u)) * K(y,K(x,z)). T(T(x,K(y,z)),K(y,u)) \ x = K(x,K(y,u)) * K(x,K(y,z)). K(x,y) * T(y,K(z,y) * (x * y)) = L(y,K(z,y) * x,y). K(x,y) * T(y,x * y) = L(y,K(z,y) * x,y). L(x,K(y,x) * z,x) = K(z,x) * T(x,z * x). x != K(y,z) * T(z,y * z) | x = L(z,y,z). L(x,K(y,x) * z,x) = L(x,z,x). L(x,T(x,y) \ z,x) = L(x,x \ z,x). x != L(y,T(y,z) \ u,y) | x = L(y,u / T(y,z),y). L(x,x \ y,x) = L(x,y / T(x,z),x). L(x,y / T(x,z),x) = L(x,x \ y,x). x != L(y,z / T(y,u),y) | x = T((z * K(u,y)) / (z / T(y,u)),z * K(u,y)). L(x,x \ y,x) = T((y * K(z,x)) / (y / T(x,z)),y * K(z,x)). T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)) = L(z,z \ x,z). K(R(x \ R(x,y,z),x,y * z),u) = K(a(x,y,z),T(u,x * (y * z))). K(x,((y * z) * u) / (y * (z * u))) = K(x,a(y,z,u)) * K(x,K(a(y,z,u),y * (z * u))). K(x,a(y,z,u)) * K(x,K(a(y,z,u),y * (z * u))) = K(x,((y * z) * u) / (y * (z * u))). K(x,T(y / (x \ z),u)) = K(x,T((z / y) \ x,u)). T(x,T(y / (x \ z),u)) = x * K(x,T((z / y) \ x,u)). x * K(x,T((y / z) \ x,u)) = T(x,T(z / (x \ y),u)). T(x,T(y / (x \ z),u)) != w | T(x,T((z / y) \ x,u)) = w. K(x \ (y * z),L(z,u,w)) = K((x / z) \ y,L(z,u,w)). K((x / y) \ z,L(y,u,w)) = K(x \ (z * y),L(y,u,w)). K(L(x,y,z),u \ (w * x)) != v5 | K(L(x,y,z),u \ (x * w)) = v5. K(x \ ((y \ z) * y),L(y,u,w)) = K(x \ z,L(y,u,w)). K(x \ (y * z),L(z,u,w)) = K(x \ (z * y),L(z,u,w)). 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)). x != L(K(y,T(T(z,u),w * u)),u,w) | x = K((w * u) / (w * (y \ u)),z). (x * y) / (x * (K(z,u) * y)) = K((x * y) / (x * (u \ y)),z). K((x * y) / (x * (z \ y)),u) = (x * y) / (x * (K(u,z) * y)). x != L(K(y,z \ (y \ (u \ w))),u \ w,u) | x = K(y,(u * z) \ (y \ w)). K(x,(y * (z / (x \ 1))) \ u) = K(x,(y * z) \ (x \ u)). x != K(y,(z * (((y \ 1) * u) / (y \ 1))) \ w) | x = K(y,(z * u) \ w). K(x,(y * ((x \ 1) * z)) \ (x \ u)) = K(x,(y * z) \ u). K(x,(y * ((x \ 1) * z)) \ T(u,x)) = K(x,(y * z) \ (u * x)). K(x,(y * ((x \ 1) * z)) \ u) = K(x,(y * z) \ (u * x)). x != (y * z) \ ((y * (z * K(u,w))) * K(w,u)) | x = a(y,z * K(u,w),K(w,u)). L(K(x,y),z,u) * K(y,x) = a(u,z * K(x,y),K(y,x)). a(x,y * K(z,u),K(u,z)) = L(K(z,u),y,x) * K(u,z). x != L(K(y,z),u,w) * K(v5,y) | x = K(v5,y) * L(K(y,z),u,w). 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)). T(x,a(y,z,K(x,u))) = x. a(x,y,K(z,u)) * K(w,z) = K(w,z) * a(x,y,K(z,u)). K(x,y) * a(z,u,K(y,w)) = a(z,u,K(y,w)) * K(x,y). a(x,y,K(z,u)) * L(K(z,u),y,x) = K(z,u). K(x,y) * a(z,u,K(y,x)) = L(K(x,y),u,z). 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 * a(y,z,K(x,u)) = T(x,u) * L(K(u,x),z,y). T(x,y) * L(K(y,x),z,u) = x * a(u,z,K(x,y)). K(x \ 1,y) * K(y,L(x,z,u) \ 1) = a(u,z,K(x \ 1,y)). K(x,y) * K(L(y,z,u),x) = a(u,z * y,K(x,y)). (x / a(y,z,K(u,w))) * K(u,w) = x * L(K(u,w),z,y). (x * K(y,z)) * a(u,w,K(z,y)) = x * L(K(y,z),w,u). (x * a(y,z,K(u,w))) * K(w,u) = x * L(K(w,u),z,y). K(x,y) * L(K(y,x),z,u) != w | w = a(u,z,K(x,y)). K(x,y) * L(K(y,x),z,u) != w | a(u,z,K(x,y)) = w. L(K(x,y),z,u) * a(u,z,K(x,y)) = K(x,y). x != L(K(y,z),u,w) * K(z,v5) | x = (w * u) \ ((w * (u * K(y,z))) * K(z,v5)). a(x,y,K(z,u)) = (x * y) \ ((x * (y * K(u,z))) * K(z,u)). (x * y) \ ((x * (y * K(z,u))) * K(u,z)) = a(x,y,K(u,z)). K(x,L(y,z,u)) * K(y,x) = a(u,z * y,K(y,x)). x * a(y,z,K(u,w)) != K(u,w) | x = L(K(u,w),z,y). x * a(y,z,K(u,w)) != K(u,w) | L(K(u,w),z,y) = x. K(a(x,y,z),u) * a(x * y,z,K(L(z,y,x) \ z,u)) = K(L(z,y,x) \ z,u). (x / (x / y)) * K(L(y,z,u),y \ x) = y * a(u,z * y,K(y \ x,y)). L(K(x,y),z,u) * K(y,x) != w | a(u,z,K(y,x)) = w. K(x,y) * K(y,L(x,z,u)) != w | a(u,z * x,K(x,y)) = w. K(x,y) * K(L(y,z,u),x) != w | a(u,z * y,K(x,y)) = w. x * L(K(y,z),u,w) != (x * K(y,z)) * v5 | a(w,u,K(z,y)) = v5. (x * K(y,z)) * u != x * L(K(y,z),w,v5) | a(v5,w,K(z,y)) = u. (x * y) * a(z,u,K(y,w)) = (x * T(y,w)) * L(K(w,y),u,z). (x * T(y,z)) * L(K(z,y),u,w) = (x * y) * a(w,u,K(y,z)). x * K(y,z) != u * L(K(y,z),w,v5) | x = u / a(v5,w,K(y,z)). x * a(y,z,K(u,w)) = x / a(y,z,K(w,u)). x / a(y,z,K(u,w)) = x * a(y,z,K(w,u)). (x * a(y,z,K(u,w))) \ x = a(y,z,K(w,u)). x != T(y * z,u) / a(y,z,K(y * z,u)) | x = y * (z * K(y * z,u)). T(x * y,z) * a(x,y,K(z,x * y)) = x * (y * K(x * y,z)). (x * a(y,z,K(u,w))) \ x != v5 | v5 = a(y,z,K(w,u)). (x * a(y,z,K(u,w))) \ x != v5 | a(y,z,K(w,u)) = v5. x / a(y,z,K(u,w)) != v5 | v5 = x * a(y,z,K(w,u)). x / a(y,z,K(u,w)) != v5 | x * a(y,z,K(w,u)) = v5. (T(x,x \ y) * a(z,u,K(w,v5))) \ ((x \ y) \ y) != v6 | a(z,u,K(v5,w)) = v6. x != a(y / z,z,K(u,y)) | x = ((y / z) * (z * K(u,y))) \ ((u * y) / u). ((x / y) * y) \ (((x / y) * (y * K(x,z))) * K(z,x)) = ((x / y) * (y * K(z,x))) \ ((z * x) / z). ((x / y) * (y * K(z,x))) \ ((z * x) / z) = ((x / y) * y) \ (((x / y) * (y * K(x,z))) * K(z,x)). L(K(x,y),z,u) * K(y,L(L(x \ 1,z,u),w,v5) \ 1) = a(v5,w,K(L(x \ 1,z,u) \ 1,y)). x != (y * T(z,u)) * L(K(w,z),v5,v6) | x = y * (T(z,u) * L(K(w,z),v5,v6)). (x * y) * a(z,u,K(y,w)) = x * (T(y,w) * L(K(w,y),u,z)). x * (T(y,z) * L(K(z,y),u,w)) = (x * y) * a(w,u,K(y,z)). x * (y * a(z,u,K(y,w))) = (x * y) * a(z,u,K(y,w)). (x * y) * a(z,u,K(y,w)) = x * (y * a(z,u,K(y,w))). (x * (y * a(z,u,K(y,w)))) * v5 != (x * y) * a(z,u,K(y,w)) | 1 = v5. 1 = a(x,y,a(z,u,K(y,w))). a(x,y,a(z,u,K(y,w))) = 1. a(x,T(y,z),a(u,w,K(y,v5))) = 1. K((x * (y * z)) \ ((x * z) * y),K(z,u)) = K(z,K(u,a(x,z,T(y,z)))). R(K(x,T(T(y,z),z * u)),z,u) = ((z * u) \ ((z * K(y,x)) * u)) \ 1. L(K(x \ y,x),z,y) = (y * (K(x \ y,x) * z)) / (y * z). (x * (K(y \ x,y) * z)) / (x * z) = L(K(y \ x,y),z,x). L(K(x \ y,x),z,y) * (y * z) = y * (K(x \ y,x) * z). L(K(x,y),z,y * x) * ((y * x) * z) = (y * x) * (K(y \ (y * x),y) * z). K((T(x,y) / z) / (x / z),u) = K(x,K(y,u)). K(x \ R(x,y,z),R(x,x \ R(x,y,z),y * z)) = K(a(x,y,z),T(x,x * (y * z))). K(R(K(x,y) \ R(K(x,y),z,u),K(x,y),z * u),((z * u) \ K(y,x)) \ 1) = K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1). K(x,K(y,R(z \ R(z,u,w),z,u * w) \ 1)) = K(x,K(a(z,u,w),T(y,z * (u * w)))). 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,K(y,(z * (u * x)) \ ((z * x) * u))) = K(x,K(y,a(z,x,T(u,x)))). x != R(K(y,T(T(z,u),u * w)),u,w) | x = (u * w) \ ((u * K(y,z)) * w). ((x * y) \ ((x * K(z,u)) * y)) \ 1 = (x * y) \ ((x * K(u,z)) * y). K(((x / y) * z) \ (x * z),u) \ 1 = (x * z) \ ((x * K(u,y)) * z). (x * y) \ ((x * K(z,u)) * y) != w | K(z,((x / u) * y) \ (x * y)) = w. K(x / y,T(z,u)) \ T(x / (K(y \ x,z) \ x),u) = K(K(x / y,z) \ x,T(K(x / y,z),u)). x \ ((L(y,z,u) * (y \ x)) * y) = K(y \ x,y) * L(T(y,y \ x),z,u). K(x \ y,x) * L(T(x,x \ y),z,u) = y \ ((L(x,z,u) * (x \ y)) * x). L(x,y,x) * R(K(x,z),u,w) = L(x * R(K(x,z),u,w),y,x). L(x * R(K(x,y),z,u),w,x) = L(x,w,x) * R(K(x,y),z,u). x != L(y,z,u) * R(K(y,w),v5,v6) | x = R(K(y,w),v5,v6) * L(y,z,u). L(x * R(K(x,y),z,u),w,x) = R(K(x,y),z,u) * L(x,w,x). R(x * R(K(y,x),z,u),w,x) = R(x,w,x) * R(K(y,x),z,u). R(x * R(K(y,x),z,u),w,x) \ R(x,w,x) = R(K(x,y),z,u). K(x / y,z) * K(K(y \ x,z) * x,x) = K(T(x / (x / y),x) \ x,z). K(x,K((1 / y) / z,(z * y) / u)) = (T(z * y,K(x,u)) / y) / z. x != (T(y * z,K(u,w)) / z) / y | x = K(u,K(w,(1 / z) / y)). K(x,K((1 / y) / z,(z * y) / u)) = K(x,K(u,(1 / y) / z)). K(x,K((1 / (y \ z)) / u,R(u / y,y,y \ z))) = K(x,K(z,(1 / (y \ z)) / u)). K(x,(y * (z / x)) \ u) != w | K(x,(y * (x \ z)) \ u) = w. x != (y * K(z,u)) * R(K(u,w),v5,v6) | x = y * (R(K(u,w),v5,v6) * K(z,u)). R(K(x,T(y,z)),u,w) * (z * K(y,x)) = z * (R(K(x,y),u,w) * K(y,x)). x != K(L(L(y,z,u),w,v5),u) | x = K(L(y,w,v5),u). K((x * (y * z)) \ (x * ((z * u) * y)),y) = K(L(u,y * z,x),y). x != K((y * (z * u)) \ w,z) | x = K((y * u) \ (z \ w),z). K(L(x,y * z,u),y) = K((u * z) \ (y \ (u * ((z * x) * y))),y). K((x * y) \ (z \ (x * ((y * u) * z))),z) = K(L(u,z * y,x),z). (K(x,y) * T(z,u)) / K(x,T(y,z)) = (z * (K(x,y) * K(z,u))) * K(y,x). T(K(x,y),z) * T(K(y,u),z) = z \ (K(y,u) * (K(x,y) * z)). x \ (K(y,z) * (K(u,y) * x)) = T(K(u,y),x) * T(K(y,z),x). (x * y) \ (y * T(T(z * x,z) / z,y)) = L(a(z,T(x,y),z),T(x,y),y). K(T(x,y),((T(x,y) \ 1) * y) \ z) = K(x,z / ((x \ 1) * T(y,x))). x != K(y,z / (u * T(w,y))) | x = K(y,z / (u * w)). K(T(x,y),((T(x,y) \ 1) * y) \ z) = K(x,z / ((x \ 1) * y)). T(T(K(x,y) * z,K(y,u)),K(y,u)) = K(y,u) * (K(x,y) * (K(y,u) \ z)). K((x * ((y * z) \ y)) \ ((1 / ((y * z) \ y)) \ u),1 / ((y * z) \ y)) = K(x \ u,z). K((x \ y) / (x \ 1),1 / x) = K((y / x) / (x \ 1),1 / x). K((x / y) / (y \ 1),1 / y) = K((y \ x) / (y \ 1),1 / y). x != K(y / (z \ 1),u) | x = K(y / (1 / z),u). K((x / y) / (y \ 1),1 / y) = K((y \ x) / (1 / y),1 / y). K((x \ y) / (1 / x),1 / x) = K((y / x) / (1 / x),1 / x). K((x / y) / (1 / y),1 / y) = K((y \ x) / (1 / y),1 / y). (x / y) / ((x / y) / (1 / y)) = (1 / y) * K((y \ x) / (1 / y),1 / y). T(x,y * x) * ((T(x,x * y) * K(z,x)) \ u) = K(x,z) * u. T(x,y * x) * (L(x,y,x) \ z) = K(x,y) * z. T(x,x * y) * (L(x,y,x) \ z) = K(x,y) * z. x != T(y,z) * (L(y,u,y) \ w) | x = K(y,z) * (w * a(y,u,y)). K(x,y) * z = K(x,x * y) * (z * a(x,y,x)). K(x,x * y) * (z * a(x,y,x)) = K(x,y) * z. (a(x,y,x) \ z) * a(x,y,x) = z. a(x,y,x) * z = z * a(x,y,x). K(x,x * y) * (z * x) = K(x,y) * (z * L(x,y,x)). K(x,y) * (z * L(x,y,x)) = K(x,x * y) * (z * x). T(x,a(y,z,y)) = x. T(a(x,y,x),z) = a(x,y,x). x / a(y,z,y) = a(y,z,y) \ x. x != (y \ L(y * z,u,w)) * y | x = L(z * y,u,w). L(a(x,y,x) * z,u,w) = L(z * a(x,y,x),u,w). x / a(y,z,y) != u | u = a(y,z,y) \ x. x / a(y,z,y) != u | a(y,z,y) \ x = u. (x * a(y,z,y)) / x = a(y,z,y). K(x,a(y,z,y)) = 1. a(x,y,x) * z != z * u | u = a(x,y,x). a(x,y,x) * z != z * u | a(x,y,x) = u. a(x,y,x) * z != u | z * a(x,y,x) = u. x * K(y,a(z,u,z)) = x. x != y * a(z,u,z) | a(z,u,z) * y = x. x * a(y,z,y) != u | a(y,z,y) * x = u. R(a(x,y,x),z,u) * w = w * R(a(x,y,x),z,u). L(a(x,y,x),z,u) = (u * (z * a(x,y,x))) / (u * z). (x * (y * a(z,u,z))) / (x * y) = L(a(z,u,z),y,x). x != a(y,z,y) | x = y \ R(y,z,y). T(a(x,y,x),z) = x \ R(x,y,x). x != R(y,z,u) * a(w,R(y,z,u),w) | x = R(y * a(w,y,w),z,u). a(x,R(y,z,u),x) * R(y,z,u) = R(y * a(x,y,x),z,u). x * y != z * a(u,w,u) | x \ (a(u,w,u) * z) = y. (x * a(y,z,y)) \ (a(y,z,y) * (u * x)) = R(T(u,x * a(y,z,y)),x,a(y,z,y)). L(x \ (a(y,z,y) \ u),x,a(y,z,y)) = (x * a(y,z,y)) \ u. (a(x,y,x) * z) \ ((z * u) * a(x,y,x)) != w | L(u,z,a(x,y,x)) = w. (x * y) \ ((x * a(z,u,z)) * y) = R(T(a(z,u,z),x * y),x,y). (x * a(y,z,y)) \ (a(y,z,y) * (u * x)) != w | L(T(u,x),x,a(y,z,y)) = w. (a(x,y,x) * z) \ (z * (u * a(x,y,x))) != w | L(T(u,a(x,y,x)),a(x,y,x),z) = w. x != y / a(z,u,z) | x = (y / (K(z,z * u) * a(z,u,z))) * K(z,z * u). a(x,y,x) \ z = (z / (K(x,x * y) * a(x,y,x))) * K(x,x * y). (x / (K(y,y * z) * a(y,z,y))) * K(y,y * z) = a(y,z,y) \ x. (x / y) \ (a(y,z,y) \ x) = L(y,z,y). a(x,y,x) \ T(z * a(x,y,x),u) = z * K(z * a(x,y,x),u). T(a(x / y,z,x / y),u) = (x / y) \ R(x / y,z,y \ x). x != L(y,K(z,y),u) | x = y. L(x * a(y,z,y),K(u,a(y,z,y) * x),w) = a(y,z,y) * x. T(x,R(a(y,z,y),u,w)) = x. x != L(y \ (z \ u),y,z) | x = (z * y) \ u. (x * a(y,z,y)) \ u = (a(y,z,y) * x) \ u. (a(x,y,x) * z) \ u = (z * a(x,y,x)) \ u. T(x,a(y,z,y) * u) != w | T(x,u * a(y,z,y)) = w. (x * y) \ ((x * a(z,u,z)) * y) = R(a(z,u,z),x,y). (x * y) \ ((T(z * x,z) / z) * y) = R(a(z,x,z),x,y). a(x,y,x) \ T(z * a(x,y,x),u) != z * w | K(z * a(x,y,x),u) = w. (x / K(y,z)) * K(y,y * z) = a(y,z,y) \ x. (x * K(y,z)) * K(z,z * y) = a(z,y,z) \ x. a(x,y,x) \ z = (z / R(x,y,x)) * x. (x / R(y,z,y)) * y = a(y,z,y) \ x. x != a(y,z,y) \ u | x = u / a(y,z,y). (x / R(y,z,y)) * y = x / a(y,z,y). (a(x,y,x) * (z * x)) / R(x,y,x) = z. x / y = (x * a(y,z,y)) / R(y,z,y). (x * a(y,z,y)) / R(y,z,y) = x / y. x != (y / R(z,u,z)) * z | x = y * (z \ L(z,u,z)). x / a(y,z,y) = x * (y \ L(y,z,y)). x * (y \ L(y,z,y)) = x / a(y,z,y). x * R(y,z,y) = a(y,z,y) * (x * y). a(x,y,x) * (z * x) = z * R(x,y,x). (x * R(y,z,y)) / (x * y) = a(y,z,y). (x / y) * R(y,z,y) = x * a(y,z,y). x * (y \ L(y,z,y)) != u | a(y,z,y) \ x = u. (x * y) * a(y,z,y) = x * R(y,z,y). x * y != a(z,u,z) * (w * z) | (w * R(z,u,z)) / y = x. (x * R(x \ y,z,x \ y)) / y = a(x \ y,z,x \ y). x * y != a(z,u,z) * (w * z) | x \ (w * R(z,u,z)) = y. (x * y) \ (x * R(y,z,y)) = a(y,z,y). (x * R(y,z,y)) / (x * y) != u | u = a(y,z,y). (x * R(y,z,y)) / (x * y) != u | a(y,z,y) = u. a(x,y,x) * (z * x) != u | u = z * R(x,y,x). a(x,y,x) * (z * x) != u | z * R(x,y,x) = u. ((x * y) * R(L(z,y,x),u,L(z,y,x))) / (x * (y * z)) = a(L(z,y,x),u,L(z,y,x)). x != (y / z) * R(z,u,z) | x = R(z,u,z) * (z \ y). x * a(y,z,y) = R(y,z,y) * (y \ x). R(x,y,x) * (x \ z) = z * a(x,y,x). (x / y) * ((y \ z) \ T(z,y)) = x * a(y,y \ z,y). K(x,y) * ((z / y) * R(y,u,y)) = y * (L(T(y,x),u,y) \ z). (x * (y * R(z,u,z))) / (x * (y * z)) = L(a(z,u,z),y * z,x). R(x,y,x) * z = (x * z) * a(x,y,x). (x * y) * a(x,z,x) = R(x,z,x) * y. x * (y * a(x,z,x)) = R(x,z,x) * y. a(x,y,x) * (x * z) = R(x,y,x) * z. (x * y) \ (R(x,z,x) * y) != u | u = a(x,z,x). (x * y) \ (R(x,z,x) * y) != u | a(x,z,x) = u. x * y != z * (u * a(z,w,z)) | x \ (R(z,w,z) * u) = y. (x * y) \ (R(x,z,x) * y) = L(a(x,z,x),y,x). R(x,y,x) \ (R(x,y,x) * z) = L(T(z,a(x,y,x)),a(x,y,x),x). L(T(x,a(y,z,y)),a(y,z,y),y) = R(y,z,y) \ (R(y,z,y) * x). x * (a(x,y,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 \ y = a(x,z,x) * (R(x,z,x) \ y). a(x,y,x) * (R(x,y,x) \ z) = x \ z. a(x,y,x) = L(a(x,y,x),z,x). L(a(x,y,x),z,x) = a(x,y,x). x != a(y,z,y) | x = (u * y) \ (u * R(y,z,y)). L(a(x,y,x),z,x) = (u * x) \ (u * R(x,y,x)). L(a(x \ y,z,x \ y),u,x \ y) = y \ (x * R(x \ y,z,x \ y)). L(T(x,a(y,z,y)),a(y,z,y),y) = x. L(x,a(y,z,y),y) = x. L(a((x \ y) \ y,z,(x \ y) \ y),u,(x \ y) \ y) = y \ (R(x,z,(x \ y) \ y) * (x \ y)). K(x,K(y,z \ 1)) \ (K(z \ 1,y) * (z \ K(z,x))) = T(z \ K(z,x),y). T(T(x,x * y) * R(y,z,u),x) = T(x * R(y,z,u),x * y). K(T(x * K(y,x),z) / z,u) = K(((y * x) / y) / T(z,T(x,y)),u). x / T(x / y,T(L(y,z,u),y)) = y * a(u,z * y,K(y \ x,y)). x / T(x / y,L(y,z,u)) = y * a(u,z * y,K(y \ x,y)). x != K(y,z) * L(T(u,y),w,v5) | x = T(K(y,z) * L(u,w,v5),y). x \ ((L(y,z,u) * (y \ x)) * y) = T(K(y \ x,y) * L(y,z,u),y \ x). T(K(x \ y,x) * L(x,z,u),x \ y) = y \ ((L(x,z,u) * (x \ y)) * x). 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 * K(T(x,y) / y,z). (K(x,y) * T(z,u)) * K(y,T(x,z)) = (z * (K(x,y) * K(z,u))) * K(y,x). (x * (K(y,z) * K(x,u))) * K(z,y) = (K(y,z) * T(x,u)) * K(z,T(y,x)). (x * y) \ ((T(z * x,z) / z) * y) = L(a(z,T(x,y),z),T(x,y),y). L(a(x,T(y,z),x),T(y,z),z) = (y * z) \ ((T(x * y,x) / x) * z). x != (y * z) \ ((T(u * y,u) / u) * z) | x = R(a(u,y,u),y,z). L(a(x,T(y,z),x),T(y,z),z) = R(a(x,y,x),y,z). L(a(x,y,x),T(y * K(z,y),z),z) = R(a(x,y * K(z,y),x),y * K(z,y),z). R(a(x,y * K(z,y),x),y * K(z,y),z) = L(a(x,y,x),T(y * K(z,y),z),z). K(x,y) * (K(z,x) * (K(x,y) \ u)) = K(z,x) * u. K(x,y) * (K(z,x) * u) = K(z,x) * (K(x,y) * u). K(x,y) * (K(z,x) * (K(y,x) * u)) = K(z,x) * u. K(x,y) * z = K(u,x) * (K(x,y) * (K(x,u) * z)). K(x,y) * (K(y,z) * (K(y,x) * u)) = K(y,z) * u. K(x,y) * (L(K(z,x),u,w) * v5) = K(L(z,u / z,w),x) * (K(x,y) * v5). K(L(x,y / x,z),u) * (K(u,w) * v5) = K(u,w) * (L(K(x,u),y,z) * v5). K(x,y) * (K(z,y) * u) = K(z,y) * (K(x,y) * u). K(x,y) * (K(x,z) * u) = K(x,z) * (K(x,y) * u). (((K(x,y) * (K(z,y) * u)) / (K(z,y) * u)) * K(z,y)) * u = K(z,y) * (R(K(x,y),K(z,y),u) * u). K(x,K(y,z)) * (K(z,u) * w) = K(z,u) * (K(z,K(x,y)) * w). K(x,K(y,z)) * (K(z,u) * w) = K(z,u) * (K(x,K(y,z)) * w). K(x,K(y,z)) * u = K(z,w) * (K(x,K(y,z)) * (K(z,w) \ u)). K(x,y) * (K(z,K(u,x)) * (K(x,y) \ w)) = K(z,K(u,x)) * w. K(x,y) * (K(z,K(x,u)) * (K(x,y) \ w)) = K(u,K(z,x)) * w. (x / y) / ((x / y) / (1 / y)) = (1 / y) * K((y \ x) * y,1 / y). (x / y) / ((x / y) / (1 / y)) = (1 / y) * K(x,1 / y). x != (1 / y) * K(z,1 / y) | x = K(z,1 / y) / y. (x / y) / ((x / y) / (1 / y)) = K(x,1 / y) / y. x / ((y / (x \ y)) / (1 / (x \ y))) = K(y,1 / (x \ y)) / (x \ y). x / (x / (1 / (x \ y))) = K(y,1 / (x \ y)) / (x \ y). K(x,1 / (y \ x)) / (y \ x) = y / (y / (1 / (y \ x))). K(x,y / x) / (y \ x) = y / (y / (1 / (y \ x))). T((x / (1 / (x \ y))) / x,K(y,x / y) / (x \ y)) = (((x / (1 / (x \ y))) / x) \ 1) \ 1. K(x,K(y,z \ 1)) \ (K(z,x) * T(z \ 1,y)) = T(z \ K(z,x),y). K(x,K(y,z \ 1)) * (K(z,x) * T(z \ 1,y)) = T(z \ K(z,x),y). K(x,K(y,z)) * (K(z,x) * T(z \ 1,y)) = T(z \ K(z,x),y). x != K(y,K(z,u)) * (K(u,y) * w) | x = K(u,T(y,z)) * w. T(x \ K(x,y),z) = K(x,T(y,z)) * T(x \ 1,z). K(x,T(y,z)) * T(x \ 1,z) = T(x \ K(x,y),z). (x / y) \ (L(y,z,u) * (y \ x)) = x \ ((L(y,z,u) * (y \ x)) * y). x != (K(y,z) * u) * K(w,T(y,v5)) | x = K(y,z) * (u * K(w,T(y,v5))). (x * (K(y,z) * K(x,u))) * K(z,y) = K(y,z) * (T(x,u) * K(z,T(y,x))). L(K(x,y),z,u) * (K(y,w) * v5) = K(y,w) * (L(K(x,y),z,u) * v5). (x * (K(y,z) * K(x,u))) * K(z,y) = K(y,z) * (K(x,u) * (K(z,y) * x)). T(x,T(y,K(z,u))) = K(z,u) * (K(x,y) * (K(u,z) * x)). K(x,y) * (K(z,u) * (K(y,x) * z)) = T(z,T(u,K(x,y))). K(x,y) * (K(K(x,y) * z,u) * z) = T(K(x,y) * z,T(u,K(x,y))). K(x,y) * (z * K(z * K(x,y),u)) = T(K(x,y) * z,T(u,K(x,y))). x != L(y * K(z,y),u,w) / L(y,u,w) | x = K(z,L(y,u,w)). K((x \ y) \ z,L(x,u,w)) = K(y \ (x * z),L(x,u,w)). x != T(y * K(z,y),T(u,T(y,w))) | x = T(y * K(z,y),u). R(x,T(y,T(x,z)),R(x,u,w)) = T(x * K(y * R(x,u,w),x),y). T(x * K(y * R(x,z,u),x),y) = R(x,T(y,T(x,w)),R(x,z,u)). R(x,T(y,T(x,z)),R(x,u,w)) = R(x,y,R(x,u,w)). R(T(x,y),T(z,x),R(T(x,y),u,w)) = R(T(x,y),z,R(T(x,y),u,w)). K((x * y) \ z,L(y,u,w)) = K(x \ (y \ z),L(y,u,w)). K(L(x \ y,x,z),L(x,u,w)) = K(z \ (x \ (z * y)),L(x,u,w)). K(x,K(y \ (z \ (u \ w)),L(z,y,u))) = K(x,K(z,(u * (y * z)) \ w)). x != 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). x != R(y,z,u) \ R(y * K(w,y),z,u) | x = K(w,R(y,z,u)). K(x * (K(y,z) * u),R(y,w,v5)) = K(x * u,R(y,w,v5)). K(x * y,R(x,z,u)) = K(y * x,R(x,z,u)). K(x * y,R(y,z,u)) = K(y * x,R(y,z,u)). R(x,K(y,z),u * K(z,y)) * u = (x * K(y,z)) * (K(y,z) \ u). R(x,K(y,z),u * K(z,y)) * u = (x * K(y,z)) * (K(z,y) * u). K(x,K(R(y,z,u),R(z,w,v5) \ z)) = K(x,K(y,(z * u) / (R(z,w,v5) * u))). (x \ T(K(y \ x,z) * x,x)) \ (x * K(x / y,z)) = L(x,K(y \ x,z),x). K(a(x,y,z),T(x,u)) = K(a(x,y,z),x). K(x,T(R(y,z,u) * (y \ x),T(y,R(y,z,u)))) = K(x,x * (y \ R(y,z,u))). L(K(x,y \ ((z \ u) * x)),z \ u,z) = K((x \ 1) \ 1,(z * (L(y,x \ 1,x) / x)) \ u). T(x * K(y * R(x,z,u),x),y) = R(x,K(x,w) * y,R(x,z,u)). R(x,K(x,y) * z,R(x,u,w)) = R(x,z,R(x,u,w)). R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = T(y,K(x,z)) / y. x != T(y,z) / y | x = K(y,z). R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = K(y,K(x,z)). R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = K(x,K(y,z)). R(K(x,K(y,z)),z / u,u) = K(x,K(z,y)). R(K(x,K(y,z)),y / u,u) = K(x,K(y,z)). x != R(K(y,K(z,u)),w,v5) | x = K(z,K(u,R(y,w,v5))). K(x,K(y,z)) = K(y,K(z,R(x,y / u,u))). K(x,K(y,R(z,x / u,u))) = K(z,K(x,y)). K(x,K(y,R(z,u,u \ x))) = K(z,K(x,y)). a(K(K(x,y),z),u,u \ z) = K(w,K(v5,R(v6,v7,v7 \ w))) * K(v6,K(w,v5)). a(K(K(x,y),z),u,u \ z) = K(w,K(v5,R(v6,v7,v7 \ w))) * K(w,K(v5,v6)). a(K(x,K(y,z)),u,u \ x) = K(w,K(v5,R(v6,v7,v7 \ w))) * K(w,K(v5,v6)). L(K(x,y),z,y * x) * ((y * x) * z) = (y * x) * (K(x,y) * z). ((x * y) * (K(y,x) * z)) / ((x * y) * z) = L(K(y,x),z,x * y). ((x * y) * (K(y,x) * z)) / ((x * y) * z) != u | u = L(K(y,x),z,x * y). ((x * y) * (K(y,x) * z)) / ((x * y) * z) != u | L(K(y,x),z,x * y) = u. ((x * y) * (K(y,x) * z)) / (z * T(x * y,z)) = L(K(y,x),z,x * y). ((K(x,y) * z) * T(y * x,z)) / (z * T(y * x,z)) = L(K(x,y),z,y * x). K(x,K(y,(z * u) / (R(z,w,v5) * u))) != v6 | K(x,K(R(z,w,v5) \ z,R(y,z,u))) = v6. (x \ T(x * K(x / y,z),x)) \ (x * K(x / y,z)) = L(x,K(y \ x,z),x). K(x,T(R(y,z,u) * (y \ x),y)) = K(x,x * (y \ R(y,z,u))). L(K(x,y),z,y * x) != u | R(K(x,y),z,T(y * x,z)) = u. L(T(x * K(y,x),y),z,u) / (x * K(y,x)) = (K(x,y) / x) * L(x,z,u). L(x,y,z) / (x * K(u,x)) = (K(x,u) / x) * L(x,y,z). ((K(x,y) / x) * L(x,z,u)) \ L(x,z,u) = x * K(y,x). ((K(R(x,y,x),z) / R(x,y,x)) * x) \ L(R(x,y,x),y,x) = R(x,y,x) * K(z,R(x,y,x)). 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. L(x,y,K(z \ 1,z)) != u | u = x. L(x,y,K(z \ u,u \ z)) != w | w = x. L(x,y,K(x,z)) != u | u = x. R(T(x,y * K(z \ 1,z)),y,K(z \ 1,z)) != u | u = T(x,y). R(T(x,y * K(z \ 1,z)),y,K(z \ 1,z)) != u | T(x,y) = u. T(x,y * K(z \ 1,z)) != u | T(x,y) = u. T(x,((y \ 1) \ 1) \ z) != u | T(x,y \ z) = u. T(x,R(y \ 1,y,z) \ u) != w | T(x,(z / (y * z)) \ u) = w. K(x,y) * (R(K(y,x),z,u) * w) = (K(x,y) * R(K(x,y) \ 1,z,u)) * w. (K(x,y) * R(K(x,y) \ 1,z,u)) * w = K(x,y) * (R(K(y,x),z,u) * w). (K(x,y) * R(K(y,x),z,u)) * w = K(x,y) * (R(K(y,x),z,u) * w). K(x,y) * (L(K(y,x),z,u) * w) = (K(x,y) * L(K(x,y) \ 1,z,u)) * w. (K(x,y) * L(K(x,y) \ 1,z,u)) * w = K(x,y) * (L(K(y,x),z,u) * w). (K(x,y) * L(K(y,x),z,u)) * w = K(x,y) * (L(K(y,x),z,u) * w). a(x,y,K(z,u)) * w = K(z,u) * (L(K(u,z),y,x) * w). K(x,y) * (L(K(y,x),z,u) * w) = a(u,z,K(x,y)) * w. K(x,y) * (a(z,u,K(y,x)) * w) = L(K(x,y),u,z) * w. x != K(y,z) * (L(K(u,y),w,v5) * v6) | x = L(K(u,y),w,v5) * (K(y,z) * v6). a(x,y,K(z,u)) * w = L(K(u,z),y,x) * (K(z,u) * w). L(K(x,y),z,u) * (K(y,x) * w) = a(u,z,K(y,x)) * w. K(x,y) * z = a(u,w,K(x,y)) * (L(K(x,y),w,u) * z). a(x,y,K(z,u)) * (L(K(z,u),y,x) * w) = K(z,u) * w. K(x,y) * (L(K(y,x),z,u) * w) != v5 | v5 = a(u,z,K(x,y)) * w. K(x,y) * (L(K(y,x),z,u) * w) != v5 | a(u,z,K(x,y)) * w = v5. x * y != K(z,u) * (K(u,z) * w) | x \ w = y. a(x,y,K(z,u)) \ w = L(K(z,u),y,x) * (K(u,z) * w). L(K(x,y),z,u) * (K(y,x) * w) = a(u,z,K(x,y)) \ w. x != L(K(y,z),u,w) * (K(z,y) * v5) | x = a(w,u,K(z,y)) * v5. a(x,y,K(z,u)) \ w = a(x,y,K(u,z)) * w. x / (a(y,z,K(u,w)) * x) = a(y,z,K(w,u)). x != a(y,z,K(u,w)) * K(v5,u) | x = K(v5,u) * a(y,z,K(u,w)). a(x,y,K(z,u)) \ K(w,u) = K(w,u) * a(x,y,K(u,z)). a(x,y,K(z,u)) \ w != v5 * w | a(x,y,K(u,z)) = v5. x / (a(y,z,K(u,w)) * x) != v5 | v5 = a(y,z,K(w,u)). x / (a(y,z,K(u,w)) * x) != v5 | a(y,z,K(w,u)) = v5. a(x,y,K(z,u)) \ K(w,u) != K(w,u) * v5 | a(x,y,K(u,z)) = v5. (x \ (((1 / y) * z) \ 1)) * ((1 / y) * z) = x \ K(z \ ((1 / y) \ 1),y \ z). K(1 / x,x) \ (R(1 / L(x,y,z),L(x,y,z),K(1 / x,x)) * ((u * (1 / (1 / L(x,y,z)))) / u)) = K(u,1 / (K(1 / x,x) \ R(1 / L(x,y,z),L(x,y,z),K(1 / x,x)))). T(K(x * R(1 / y,y,z),y \ 1) / y,x) = R(1 / y,x,z / (y * z)). T(K(x * R(y \ 1,y,z),y \ 1) / y,x) = R(1 / y,x,z / (y * z)). (T(x * (y \ 1),x) / x) / (y \ 1) = y * (T(x * (y \ 1),x) / x). x != (T(y * z,y) / y) / z | x = y \ R(y,z,y). x * (T(y * (x \ 1),y) / y) = y \ R(y,x \ 1,y). x * y != (T(z * u,z) / z) / u | (z \ R(z,u,z)) / y = x. (x \ R(x,y \ 1,x)) / (T(x * (y \ 1),x) / x) = y. x * (T(y * (x \ 1),y) / y) = a(y,x \ 1,y). K(x,y * (((z * K(u,z)) * u) * w)) = K(x,y * ((u * (1 / (1 / z))) * w)). K(x,y * ((z * u) * w)) = K(x,y * ((z * (1 / (1 / u))) * w)). K(x,y * ((z * (1 / (1 / u))) * w)) = K(x,y * ((z * u) * w)). x != T(y,y \ z) \ R(T(u,u \ w),v5,v6) | x = ((y \ z) \ z) \ R((u \ w) \ w,v5,v6). x \ (y \ ((R(x,z,u) * (x \ y)) * x)) = ((x \ y) \ y) \ R((x \ y) \ y,z,u). ((x \ y) \ y) \ R((x \ y) \ y,z,u) = x \ (y \ ((R(x,z,u) * (x \ y)) * x)). x != y * T(K(z,u),w) | x * T(K(u,z),w) = y. x * T(K(y,z),u) != w | w * T(K(z,y),u) = x. 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,z \ y) * (y / x) = T(T(T(y,x \ y) / x,y),y / z). T(T(T(x,y \ x) / y,x),x / z) = K(y \ x,z \ x) * (x / y). x != K(y \ z,u) * (z / y) | x = T(z / y,T(u,y)). T(T(T(x,y \ x) / y,x),x / z) = T(x / y,T(z \ x,y)). T(x / y,x / z) = T(x / y,T(z \ x,y)). T(x / y,T(z \ x,y)) = T(x / y,x / z). T(x / y,T(z \ (y \ x),y)) = T(x / y,x / (y * z)). x != T(y,(((z \ 1) \ 1) \ u) \ w) | x = T(y,(z \ u) \ w). T(x,y / (((z \ 1) \ 1) \ u)) = T(T(x,K(y,z \ u)),(z \ u) \ y). T(T(x,K(y,z \ u)),(z \ u) \ y) = T(x,y / (((z \ 1) \ 1) \ u)). x != T(T(y,K(z,u)),u \ z) | x = T(y,z / u). T(x,y / (((z \ 1) \ 1) \ u)) = T(x,y / (z \ u)). x != L(K(y,z),T(z,u),w) | x = K(y,z). (x * T(y,z)) \ (x * R(y,z,L(y,u,w))) = K(z * L(y,u,w),y). T(x,y) \ R(T(x,y),z,R(T(x,u),w,v5)) = x \ R(x,z,R(T(x,u),w,v5)). T(x * L(K(y,z),u,w),K(z,v5)) = T(x,K(z,v5)) * L(K(y,z),u,w). L(K(x,y),z,u) \ T(w,K(y,v5)) = T(L(K(x,y),z,u) \ w,K(y,v5)). L(K(x,y),z,u) \ T(w,K(y,v5)) = T(L(K(y,x),z,u) * w,K(y,v5)). L(K(x,y),z,u) * T(w,K(x,v5)) = T(L(K(x,y),z,u) * w,K(x,v5)). T(L(K(x,y),z,u) * w,K(x,v5)) = L(K(x,y),z,u) * T(w,K(x,v5)). T(L(K(x,y),z,u) * T(w,L(K(x,y),z,u)),K(x,v5)) = T(w,K(x,v5)) * L(K(x,y),z,u). x != T(y * K(z,u),K(u,w)) \ T(y,K(u,w)) | x = K(u,z). K(x,L(y,z * K(y,u),w)) = K(x,L(y,z,w)). K(x,L(y,K(y,z) * u,w)) = K(x,L(y,u,w)). x != K(y,L(z,K(z,u) * w,v5)) | x = L(K(y,z),T(z,u) * w,v5). K(x,L(y,z,u)) = L(K(x,y),T(y,w) * z,u). L(K(x,y),T(y,z) * u,w) = K(x,L(y,u,w)). L(K(x,L(y,x,z)),T(y,u) * w,v5) = K(L(x,y,z),L(y,w,v5)). K(x,y) * ((y * R(x,z,R(x,u,w))) * x) = (R(x,z,R(x,u,w)) * y) * x. x != K(y,z) * ((z * R(y,u,w)) * y) | x = (y * z) * R(y,u,w). (R(x,y,R(x,z,u)) * w) * x = (x * w) * R(x,y,R(x,z,u)). (x * (y * L(x,z,u))) \ ((x * y) * L(x,z,u)) = x \ R(x,y,L(x,z,u)). a(x,y,L(x,z,u)) = x \ R(x,y,L(x,z,u)). x \ R(x,y,L(x,z,u)) = a(x,y,L(x,z,u)). K(x * L(y,z,u),y) * K(y,x) = a(y,x,L(y,z,u)). K(x,y) * K(y * L(x,z,u),x) = a(x,y,L(x,z,u)). 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. K(L(x,y,z) * u,x) * K(x,u) = a(x,u,L(x,y,z)). K(x,y) * a(y,x,L(y,z,u)) = K(x * L(y,z,u),y). x != K(L(y,z,u) * w,y) * K(y,w) | x = L(y,w,L(y,z,u)) \ y. 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)) * K(L(x,y,L(x,z,u)),w)) \ (x * K(L(x,y,L(x,z,u)),w)) = T(L(x,y,L(x,z,u)),L(x,y,L(x,z,u)) \ x). K(x * L(y,z,u),y) != K(x,y) * w | a(y,x,L(y,z,u)) = w. x != (y * z) * T((y * z) \ (u * z),w) | x = (y * T(y \ u,w)) * z. K(x,y) * (K(z,x) * u) = ((1 / z) * T((1 / z) \ K(x,y),x)) * u. ((1 / x) * T((1 / x) \ K(y,z),y)) * u = K(y,z) * (K(x,y) * u). (K(x,y) * K((1 / z) \ 1,x)) * u = K(x,y) * (K(z,x) * u). (K(x,y) * K(z,x)) * u = K(x,y) * (K(z,x) * u). L(x,K(y,z),K(z,u)) = x. x != K(y,z) * (K(u,y) * w) | x = K(u,y) * (K(y,z) * w). (K(x,y) * K(z,x)) * u = K(z,x) * (K(x,y) * u). x \ (K(y,z) * (K(u,y) * x)) != w | T(K(y,z) * K(u,y),x) = w. (K(x,y) * K(y,z)) * u = K(y,z) * (K(x,y) * u). (K(x,y) * z) / (K(y,u) * (K(x,y) * z)) = R(K(u,y),K(x,y),z). x != T(y / (y / z),z \ y) | x = z. L(T(x / (x / y),y \ x),K(z,u),K(u,w)) = y. x != L(K(y,z) * (K(u,w) * v5),K(z,y),K(w,u)) | x = (K(w,u) * K(z,y)) \ v5. K(x,y) * (K(z,x) * u) = (K(x,z) * K(y,x)) \ u. (K(x,y) * K(z,x)) \ u = K(x,z) * (K(y,x) * u). L(x,L(K(y,z),u,w),K(z,v5)) = x. L(x,K(y,T(z,u)),K(z,w)) = x. L(x,K(y,z),K(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,K(y,z)) * K(u,y)) * w = K(x,K(y,z)) * (K(u,y) * w). (K(x,y) * L(K(z,x),u,w)) * v5 = K(x,y) * (L(K(z,x),u,w) * v5). T(x,R(y / (y / z),u,z)) = T(x,y / (y / z)). (K(x,y) * K(y,z)) * u = K(x,y) * (K(y,z) * u). T(K(x,y) * K(y,z),u) = K(y,z) * (K(x,y) * K(K(x,y) * K(y,z),u)). K(x,y) * (K(z,x) * K(K(z,x) * K(x,y),u)) = T(K(z,x) * K(x,y),u). x * y != K(z,u) * (K(w,z) * (K(u,z) * v5)) | (K(w,z) * v5) / y = x. (K(x,y) * z) / (K(u,y) * z) = K(x,y) * K(y,u). (K(x,y) * K(y,z)) \ u = K(y,x) * (K(z,y) * u). R(K(x,y),K(y,z),u) = K(x,y). L(x,K(y,z),K(u,y)) = x. x * y != K(z,u) * (K(u,w) * (K(u,z) * v5)) | (K(u,w) * v5) / y = x. (K(x,y) * z) / (K(x,u) * z) = K(u,x) * K(x,y). x \ (K(y,z) * (K(z,u) * x)) != w | T(K(y,z) * K(z,u),x) = w. (K(x,y) * (K(y,z) * u)) / (K(x,y) * K(y,z)) != w | u * K(K(x,y) * K(y,z),u) = w. (x \ L(x,y,x)) * z = K(y,x) * (K(x,y * x) * z). K(x,y) * (K(y,x * y) * z) = (y \ L(y,x,y)) * z. K(x,y) * R(R(K(x,y),K(y,z),u) \ 1,w,v5) = R(K(x,y) * R(K(x,y) \ 1,w,v5),K(y,z),u). R(K(x,y) * R(K(x,y) \ 1,z,u),K(y,w),v5) = K(x,y) * R(R(K(x,y),K(y,w),v5) \ 1,z,u). (x * K(y,z)) / (K(u,T(z,x)) * x) = K(y,T(z,x)) * K(T(z,x),u). (K(x,T(y,z)) * K(y,u)) \ w = K(y,T(x,z)) * (K(u,y) * w). x / (K(y \ x,z) * (y * (x / y))) = K(z,y \ x) * K(y \ x,y). x != K(y,z) * (K(z,y * z) * u) | x = a(z,y,z) \ u. (x \ L(x,y,x)) * z = a(x,y,x) \ z. x * y != z \ (z * u) | x \ u = y. (x \ L(x,y,x)) \ z = a(x,y,x) * z. x != a(y,z,y) * u | x = u * a(y,z,y). (x \ L(x,y,x)) \ z = z * a(x,y,x). R(x,T(K(y,z),x),T(K(u,K(z,w)),K(y,z) * x)) \ ((K(u,K(z,w)) * K(y,z)) * x) = T(K(y,z),x) * T(K(u,K(z,w)),K(y,z) * x). T(K(x,y),z) * T(K(y,u),z) != w | T(K(y,u) * K(x,y),z) = w. K(x,y) = R(K(x,y),K(z,y),u). R(K(x,y),K(z,y),u) = K(x,y). (K(x,y) * L(K(x,z) \ 1,u,w)) * v5 = K(x,y) * (L(K(z,x),u,w) * v5). (x * K(y,z)) / (x * K(u,z)) = K(y,T(z,x)) * K(T(z,x),u). K(x,T(y,z)) * K(y,T(u,z)) = (z * K(x,y)) / (z * K(u,y)). (x * K(y,z)) / (x * K(u,z)) = K(y,T(z,x)) * K(z,T(u,x)). x / (K(((y \ 1) * x) \ x,z) * (((y \ 1) * x) * R(y,y \ 1,x))) = K(z,((y \ 1) * x) \ x) * K(((y \ 1) * x) \ x,(y \ 1) * x). x != K(y,z) * (u * K(u * K(y,z),w)) | x = T(K(y,z) * u,T(w,K(y,z))). T(K(x,y) * K(y,z),u) = T(K(y,z) * K(x,y),T(u,K(y,z))). T(K(x,y) * K(z,x),T(u,K(x,y))) = T(K(z,x) * K(x,y),u). (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 != 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)). a(T(x,y),z,R(T(x,y),u,w)) = x \ R(x,z,R(T(x,y),u,w)). 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)) * K(x,y * R(x,z,u)) = K(x,y). K(x * R(y,z,u),y) * K(y,T(x,R(y,w,v5))) = a(y,T(x,R(y,w,v5)),R(y,z,u)). a(x,y,R(x,z,u)) * T(K(y,x),w) = K(y * R(x,z,u),x) * K(y,K(x,w)). K(x * R(y,z,u),y) * K(x,K(y,w)) = a(y,x,R(y,z,u)) * T(K(x,y),w). a(x,y / R(x,z,u),R(x,z,u)) * K(x,y) = K(x,y / R(x,z,u)). T(x,y) \ R(T(x,y),z,R(x,u,w)) = a(x,z,R(x,u,w)). T(x,y) * a(x,z,R(x,u,w)) = R(T(x,y),z,R(x,u,w)). T(x,y) \ R(T(x,y),z,R(x,u,w)) != v5 | v5 = a(x,z,R(x,u,w)). T(x,y) \ R(T(x,y),z,R(x,u,w)) != v5 | a(x,z,R(x,u,w)) = v5. ((x \ y) \ y) \ R((x \ y) \ y,z,R(x,u,w)) != v5 | a(x,z,R(x,u,w)) = v5. R(a(x,y * K(z,y),x),y * K(z,y),z) = L(a(x,y,x),y,z). (x \ (((1 / y) * z) \ 1)) * ((1 / y) * z) = x \ K(z \ y,y \ z). (x \ (y \ ((1 / z) \ 1))) * ((1 / z) * y) = x \ K(y \ z,z \ y). (x \ (y \ z)) * ((1 / z) * y) = x \ K(y \ z,z \ y). ((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)). a(T(x,y),T(z,x),R(T(x,y),u,w)) = a(T(x,y),z,R(T(x,y),u,w)). R(T(x,y),y,R(T(x,y),z,u)) \ T(x,y) = a(x,y,R(T(x,y),z,u)) \ 1. T(x,T((1 / y) \ x,z)) * K(T(y \ 1,z) \ 1,x) = L(x,T(1 / y,z) \ 1,x). K((x \ (y * z)) \ 1,x \ (y * z)) = K(((y \ x) \ z) \ 1,(y \ x) \ z). K(((x \ y) \ z) \ 1,(x \ y) \ z) = K((y \ (x * z)) \ 1,y \ (x * z)). K(((x \ y) \ z) \ 1,(x \ y) \ z) = K((x * z) \ y,y \ (x * z)). K(x \ (y \ z),(y \ z) \ x) = K((y * x) \ z,z \ (y * x)). K((x * y) \ z,z \ (x * y)) = K(y \ (x \ z),(x \ z) \ y). x != K((y * (z \ 1)) \ u,w) | x = K((z / y) * u,w). K((x \ 1) \ (y \ z),(y \ z) \ (x \ 1)) = K((x / y) * z,z \ (y * (x \ 1))). x * y != K((z * u) \ w,w \ (z * u)) | K(u \ (z \ w),(z \ w) \ u) / y = x. K(x \ (y \ z),(y \ z) \ x) / (y * x) = ((y * x) \ z) * (1 / z). K(x \ T(y,z),(z \ (y * z)) \ x) / (z * x) = ((z * x) \ (y * z)) * (1 / (y * z)). K((x / y) * z,z \ (y * (x \ 1))) = K(x * (y \ z),(y \ z) \ (x \ 1)). x != K(y,((K(z,u) * w) * v5) \ v6) | x = K(y,(v5 \ (w \ K(u,z))) * v6). K(x,(a(K(y,z),u,w) \ ((u * w) \ K(z,y))) * v5) = K(x,(w \ (u \ K(z,y))) * v5). x != R(K(y,(z / u) / w),z / u,u) | x = K(y,z / (w * u)). ((x * (y * ((x \ (z / u)) / y))) * u) / z = K(y,z / ((x * y) * u)). (x * y) * L(z \ T(z * (y \ (z \ 1)),z),y,x) = (x * K(y \ 1,z)) * (z \ 1). (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = R(x,K(y,T(u,z)),z * K(u,y)) * z. T(K(x,y) * z,T(z,K(x,y))) = L(z * K(x,y),K(y,x),z * K(x,y)). L(x * K(y,z),K(z,y),x * K(y,z)) = T(K(y,z) * x,T(x,K(y,z))). x != T(y * z,T(z,y)) | x = T(y * z,z). L(x * K(y,z),K(z,y),x * K(y,z)) = T(K(y,z) * x,x). K(x \ ((y / z) \ u),L(z,w,v5)) != v6 | K(x \ ((z \ y) \ u),L(z,w,v5)) = v6. R(T(x,x * y),y * x,a(x,y,x)) = ((y * x) * a(x,y,x)) \ ((x * y) * x). ((x * y) * a(y,x,y)) \ ((y * x) * y) = R(T(y,y * x),x * y,a(y,x,y)). T(x * K(y,z),K(z,u)) = K(y,z) * T(x,K(z,u) * K(y,z)). K(x,y) * T(z,K(y,u) * K(x,y)) = T(z * K(x,y),K(y,u)). K(x,y) * T(z,K(x,y) * K(y,u)) = T(z * K(x,y),K(y,u)). T((K(x,y) \ z) * K(x,y),K(y,u)) \ z = K(K(x,y) * K(y,u),K(x,y) \ z). T(T(x,K(y,z)),K(z,u)) \ x = K(K(y,z) * K(z,u),K(y,z) \ x). K(K(x,y) * K(y,z),K(x,y) \ u) = T(T(u,K(x,y)),K(y,z)) \ u. K(x * R(T(y,z),u,w),T(T(y,v5),K(R(y,u,w),z))) = K(x * R(y,u,w),T(y,v5)). L(x \ 1,T(K(x,y),z),z) * (K(x,y) * z) = z * (K(x,T(y,z)) * T(x \ 1,z)). K(L(K(x,y),z,u),w \ v5) = K(L(K(x,y),z,u),w \ (v5 / x)). K(L(K(x,y),z,u),w \ (v5 / x)) = K(L(K(x,y),z,u),w \ v5). x != K(L(K(y,z),u,w),v5) | x = K(z,K(v5,L(y,u,w))). K(L(K(x,y),z,u),w \ (v5 / x)) = K(y,K(w \ v5,L(x,z,u))). K(x,K(y \ (z / u),L(u,w,v5))) = K(x,K(y \ z,L(u,w,v5))). K(x,K(y \ (z \ u),L(z,w,v5))) = K(x,K(y \ u,L(z,w,v5))). x != K(y,K(z \ (u \ (w \ v5)),L(u,z,w))) | x = K(y,K(u,(w * (z * u)) \ v5)). K(x,K(y \ (z \ u),L(w,y,z))) = K(x,K(w,(z * (y * w)) \ u)). x != K(y,K(z \ (u \ w),L(v5,z,u))) | x = K(v5,K(y,(u * z) \ w)). K(x,K(y,(z * (u * y)) \ w)) = K(y,K(x,(z * u) \ w)). K(x,K(y,(z * (u * x)) \ w)) = K(x,K(y,(z * u) \ w)). x != K(y,K(z,(u * (w * y)) \ ((u * y) * w))) | x = K(y,K(z,a(u,y,T(w,y)))). K(x,K(y,(z * u) \ ((z * x) * u))) = K(x,K(y,a(z,x,T(u,x)))). K(x,K(y,a(z,x,T(u,x)))) = K(x,K(y,(z * u) \ ((z * x) * u))). x != K(y,K(z,(u * w) \ ((u * y) * w))) | x = 1. K(x,K(y,a(z,x,T(u,x)))) = 1. K(x,K(y,a(z,x,u))) = 1. a(x,y,z) * 1 = T(a(x,y,z),K(u,y)). T(a(x,y,z),K(u,y)) = a(x,y,z) * 1. T(a(x,y,z),K(u,y)) = a(x,y,z). T(a(x,y \ z,u),K(y,z)) = a(x,y \ z,u). K(x,y) * a(z,x \ y,u) = a(z,x \ y,u) * K(x,y). a(x,y \ z,u) * K(y,z) = K(y,z) * a(x,y \ z,u). K((x * (y * z)) \ u,L(z,w,v5)) != v6 | K((x * y) \ (z \ u),L(z,w,v5)) = v6. K(x,R(x,y,z) \ ((x * R(T(x,u),y,z)) / w)) != v5 | K(x,w \ x) = v5. R(T(x,y * a(z,u,z)),y,a(z,u,z)) != w | L(T(x,y),y,a(z,u,z)) = w. K(x * R(y,z,u),y) * K(y,x) = a(y,T(x,R(y,w,v5)),R(y,z,u)). a(x,T(y,R(x,z,u)),R(x,w,v5)) = K(y * R(x,w,v5),x) * K(x,y). x != K(y * R(z,u,w),z) * K(z,y) | x = a(z,y,R(z,u,w)). a(x,T(y,R(x,z,u)),R(x,w,v5)) = a(x,y,R(x,w,v5)). a(x,R(x,y,z) \ u,R(x,w,v5)) = a(x,u / R(x,y,z),R(x,w,v5)). a(x,y / R(x,z,u),R(x,w,v5)) = a(x,R(x,z,u) \ y,R(x,w,v5)). a(x,T(y,x),R(x,z,u)) = a(x,y,R(x,z,u)). a(x,R(x,y,z) \ u,R(x,y,z)) * K(x,u) = K(x,u / R(x,y,z)). x != K(y,z / R(y,u,w)) | x = K(y,R(y,u,w) \ z). a(x,R(x,y,z) \ u,R(x,y,z)) * K(x,u) = K(x,R(x,y,z) \ u). T(x,T((y \ 1) \ x,z)) * K(T(y \ 1,z) \ 1,x) = L(x,T(1 / y,z) \ 1,x). x * (y * (z \ T(z * (y \ (z \ 1)),z))) = (x * K(y \ 1,z)) * (z \ 1). x * (K(y \ 1,z) * (z \ 1)) = (x * K(y \ 1,z)) * (z \ 1). (x * K(y \ 1,z)) * (z \ 1) = x * (K(y \ 1,z) * (z \ 1)). (x * K(y \ 1,z)) * (z \ 1) = x * (T(z,y \ 1) \ 1). (x * K(y,z)) * (z \ 1) = x * (T(z,(1 / y) \ 1) \ 1). (x * K(y,z)) * (z \ 1) = x * (T(z,y) \ 1). x * y != (z * K(u,w)) * (w \ 1) | x \ (z * (T(w,u) \ 1)) = y. (x * (y \ 1)) \ (x * (T(y,z) \ 1)) = K(z,y). (x * K(y,z)) * (z \ 1) = x * (z \ K(y,z)). x * (y \ 1) = (x * K(y,z)) * (T(y,z) \ 1). (x * K(y,z)) * (T(y,z) \ 1) = x * (y \ 1). L(K(x,y),y \ 1,z) = K(x,y). x != K((y \ z) \ (u \ 1),u) | x = K(z \ (u \ y),u). L(K((x \ y) \ (z \ 1),z),z \ 1,u) = K(y \ (z \ x),z). K(x,y) * z != L(K(x,y),y \ 1,u) | 1 = z. 1 = a(x,y \ 1,K(y,z)). a(x,y \ 1,K(y,z)) = 1. L(K(x,y),x \ 1,z) = K(x,y). K(x,L(y,x \ 1,z) \ 1) = K(x,y \ 1). T(x,L(y,x \ 1,z) \ 1) = x * K(x,y \ 1). x != (y * K(z,u)) * (u \ 1) | x = (y * (u \ 1)) * K(z,u). x * (y \ K(z,y)) = (x * (y \ 1)) * K(z,y). (x * (y \ 1)) * K(z,y) = x * (y \ K(z,y)). (x * K(y * K(z,y),z)) * (y \ 1) = x * ((y * K(z,y)) \ 1). (x * (y \ K(z,y))) / (y \ K(z,y)) = R(x,y \ 1,K(z,y)). T(x,L(y,x \ 1,z) \ 1) = T(x,y \ 1). x != T(y,(y * (z \ u)) \ 1) | x = T(y,u \ (y \ z)). T(x,L(x * (y \ z),x \ 1,u) \ 1) = T(x,z \ (x \ y)). K(x \ (y \ z),y) = K(x \ (z * (y \ 1)),y). K(x \ (y * (z \ 1)),z) = K(x \ (z \ y),z). x != K(((y \ 1) * z) \ (u * (y \ 1)),y) | x = K(z \ T(u,y \ 1),y). K(((x \ 1) * y) \ (x \ z),x) = K(y \ T(z,x \ 1),x). x != K(y \ T(z,u \ 1),u) | x = K(y \ z,u). K(((x \ 1) * y) \ (x \ z),x) = K(y \ z,x). K(((x \ 1) * y) \ z,x) = K(y \ (z * x),x). x != K(((y \ 1) * (z * y)) \ u,y) | x = K(L(z,y,y \ 1) \ u,y). K((x * y) \ (z * y),y) = K(L(x,y,y \ 1) \ z,y). K(L(x,y,y \ 1) \ z,y) = K((x * y) \ (z * y),y). x != K((y * z) \ (u * z),z) | x = K(y \ u,z). K(L(x,y,y \ 1) \ z,y) = K(x \ z,y). T(x,y) \ T(x * K(z \ u,x),y) = K(L(z,x,x \ 1) \ u,T(x,y)). R(x,y \ 1,K(z,y)) = x. R(x,y \ 1,K(z,T(y,u))) = x. R(x,(y * K(z,y)) \ 1,K(u,y)) = x. R(x,y \ K(y,z),K(u,y)) = x. 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 * K(y,z)) * (y \ 1) = x * ((y * K(z,y)) \ 1). (x * K(y,z)) * (y \ 1) = x * (K(y,z) * (y \ 1)). L(x \ 1,K(x,y),z) = x \ 1. (x \ y) * (y \ x) = T((x \ y) * (y \ x),z). T((x \ y) * (y \ x),z) = (x \ y) * (y \ x). K((x \ y) * (y \ x),z) = 1. T(x,(y \ z) * (z \ y)) = x. K(x * ((y * x) \ y),z) = 1. T(x,y * ((z * y) \ z)) = x. T(x * ((y * x) \ y),z) = x * ((y * x) \ y). (x * ((y * x) \ y)) \ z = z / (x * ((y * x) \ y)). x / (y * ((z * y) \ z)) = (y * ((z * y) \ z)) \ x. T(x * L(x \ 1,x,y),z) = x * ((y * x) \ y). x != T(y * L(y \ 1,y,z),u) | x = T(y,u) * ((z * T(y,u)) \ z). x * ((y * x) \ y) = T(x,z) * ((y * T(x,z)) \ y). T(x,y) * ((z * T(x,y)) \ z) = x * ((z * x) \ z). x != T(y * L(y \ 1,y,z),z) | x = T(y,z) * ((y * z) \ z). x * ((y * x) \ y) = T(x,y) * ((x * y) \ y). T(x,y) * ((x * y) \ y) = x * ((y * x) \ y). x != 1 / (y * z) | x = (1 / z) / y. (x * ((y * x) \ y)) \ 1 = (1 / ((y * x) \ y)) / x. (1 / ((x * y) \ x)) / y = (y * ((x * y) \ x)) \ 1. (x * ((y * x) \ y)) \ T(x,z) = 1 / ((y * T(x,z)) \ y). ((x * ((y * x) \ y)) \ 1) \ (1 / ((y * x) \ y)) = x. (1 / ((x * y) \ x)) / y != z | z = (y * ((x * y) \ x)) \ 1. (1 / ((x * y) \ x)) / y != z | (y * ((x * y) \ x)) \ 1 = z. K(x \ y,T(z,u)) = K(L(x,z,z \ 1) \ y,T(z,u)). K(L(x,y,y \ 1) \ z,T(y,u)) = K(x \ z,T(y,u)). K(((1 / x) * y) \ z,T(x,u)) = K((x \ y) \ z,T(x,u)). x != K(((1 / y) * z) \ u,w) | x = K(((y \ 1) * z) \ u,w). K((x \ y) \ z,T(x,u)) = K(((x \ 1) * y) \ z,T(x,u)). K(((x \ 1) * y) \ z,T(x,u)) = K((x \ y) \ z,T(x,u)). x != K((y \ z) \ u,T(y,w)) | x = K(z \ (y * u),T(y,w)). K(((x \ 1) * y) \ z,T(x,u)) = K(y \ (x * z),T(x,u)). x != K(((y \ 1) * z) \ u,T(y,z)) | x = K(((y \ 1) \ u) / z,y). K(x \ (y * z),T(y,x)) = K(((y \ 1) \ z) / x,y). K((x * y) / z,x) = K(((x \ 1) \ y) / z,x). K(((x \ 1) \ y) / z,x) = K((x * y) / z,x). (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = R(x,K(y,u),z * K(u,y)) * z. x != R(y,K(z,u),w * K(u,z)) * w | x = (y * K(z,u)) * (K(u,z) * w). (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = (x * K(y,u)) * (K(u,y) * z). (x * K(y,T(z,u))) * (K(z,T(y,u)) * u) = (x * K(y,z)) * (K(z,y) * u). (x * K(y,T(z,u))) * (u * K(z,y)) = (x * K(y,z)) * (K(z,y) * u). (K(x,T(y,z)) * a(K(x,u),w,v5)) * (z * K(y,x)) = (a(K(x,u),w,v5) * K(x,y)) * (K(y,x) * z). K(x * R(T(y,z),u,w),T(T(y,v5),K(z,R(y,u,w)))) = K(x * R(y,u,w),T(y,v5)). L(x \ 1,T(K(x,y),z),z) * (K(x,y) * z) = z * T(x \ K(x,y),z). L(x \ 1,T(K(x,y),z),z) * (K(x,y) * z) = (x \ K(x,y)) * z. L(x \ 1,K(x,T(y,z)),z) * (K(x,y) * z) = (x \ K(x,y)) * z. (x \ 1) * (K(x,y) * z) = (x \ K(x,y)) * z. ((x \ 1) * y) / ((x \ K(x,z)) * y) = K(z,x). x != ((y \ 1) * z) / ((y \ K(y,u)) * z) | x = R(K(u,y),y \ 1,z). K(x,y) = R(K(x,y),y \ 1,z). R(K(x,y),y \ 1,z) = K(x,y). T(x,T(1 \ (y * x),z)) * K(T(y \ 1,z) \ 1,x) = L(x,T(1 / y,z) \ 1,x). K(x * R(T(y,z),u,w),T(y,v5)) = K(x * R(y,u,w),T(y,v5)). T(T(x,y) * K(z * R(x,u,w),T(x,y)),z) = R(T(x,y),z,R(T(x,y),u,w)). T(T(x * K(y * R(x,z,u),x),w),y) = R(T(x,w),y,R(T(x,w),z,u)). x != T(T(y * K(z * R(y,u,w),y),v5),z) | x = R(T(y,v5),z,R(y,u,w)). R(T(x,y),z,R(T(x,y),u,w)) = R(T(x,y),z,R(x,u,w)). T(T(x,y),z) * (K(z * R(T(x,y),u,w),T(x,y)) * v5) = R(T(x,y),z,R(x,u,w)) * v5. K(x,y) * (y \ R(T(y,x),z,R(y,u,w))) = y \ R(y,z,R(T(y,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 \ R(x,y,R(T(x,z),u,w)) = a(x,y,R(x,u,w)). x \ R(x,y,R(T(x,z),u,w)) != v5 | v5 = a(x,y,R(x,u,w)). x \ R(x,y,R(T(x,z),u,w)) != v5 | a(x,y,R(x,u,w)) = v5. a(T(x,y),z,R(T(x,y),u,w)) = a(x,z,R(x,u,w)). a(T(x,y),z,R(T(x,y),u,w)) != v5 | a(x,z,R(x,u,w)) = v5. T(x,T(y * x,z)) * K(T(y \ 1,z) \ 1,x) = L(x,T(1 / y,z) \ 1,x). T(x,T(y * x,z)) * K((y \ 1) \ 1,T(x,z)) = L(x,T(1 / y,z) \ 1,x). T(x,T(y * x,z)) * K(y,T(x,z)) = L(x,T(1 / y,z) \ 1,x). x != K(y,y \ 1) * (z \ (1 / u)) | x = ((z \ y) * (1 / y)) / u. T(1 / ((x * K(y \ 1,y)) * z),x * K(y \ 1,y)) = ((x \ y) * (1 / y)) / z. T(1 / (K(x \ 1,x) * (y * z)),y * K(x \ 1,x)) = ((y \ x) * (1 / x)) / z. T((1 / (x * y)) * K(z,z \ 1),x * K(z \ 1,z)) = ((x \ z) * (1 / z)) / y. T(x * (1 / ((y * z) * x)),y * K(x \ 1,x)) = ((y \ x) * (1 / x)) / z. T(x * (1 / ((y * z) * x)),y) = ((y \ x) * (1 / x)) / z. x \ (y * (1 / (z * y))) = ((x \ y) * (1 / y)) / z. ((x \ y) * (1 / y)) / z = x \ (y * (1 / (z * y))). (x \ (1 / y)) / z = (y * x) \ (y * (1 / (z * y))). (x * y) \ (x * (1 / (z * x))) = (y \ (1 / x)) / z. ((x \ y) * (1 / y)) / K(z \ u,z) = x \ (y * (1 / ((u / (u / z)) * (z \ y)))). x \ (y * (1 / ((z / (z / u)) * (u \ y)))) = ((x \ y) * (1 / y)) / K(u \ z,u). ((x \ 1) * y) \ ((x \ 1) * z) = (y \ (1 / (x \ 1))) / (z \ x). (x \ (1 / (y \ 1))) / (z \ y) = ((y \ 1) * x) \ ((y \ 1) * z). (x * y) \ (x * (1 / (z * (x * K(u,u \ 1))))) = (y \ (1 / x)) / (z * K(u,u \ 1)). (x \ y) / (z \ y) = ((y \ 1) * x) \ ((y \ 1) * z). ((x \ 1) * y) \ ((x \ 1) * z) = (y \ x) / (z \ x). ((x \ y) / (z \ y)) / (x \ z) = a(1 / ((y \ 1) * z),y \ 1,x). a(1 / ((x \ 1) * y),x \ 1,z) = ((z \ x) / (y \ x)) / (z \ y). a(1 / ((x \ 1) * (x / y)),x \ 1,z) = ((z \ x) / y) / (z \ (x / y)). x \ (y * (1 / ((z / (z / u)) * (u \ y)))) = ((x \ y) * (1 / y)) * K(u,u \ z). x != (y * z) * K(u,u \ 1) | x = y * (z * K(u,u \ 1)). x \ (y * (1 / ((1 / (1 / z)) * (z \ y)))) = (x \ y) * ((1 / y) * K(z,z \ 1)). x \ (y * (1 / ((1 / (1 / z)) * (z \ y)))) = (x \ y) * (z * (1 / (y * z))). x \ (y * (1 / (K(z \ 1,z) * y))) = (x \ y) * (z * (1 / (y * z))). x \ (y * ((1 / y) * K(z,z \ 1))) = (x \ y) * (z * (1 / (y * z))). x \ (y * (z * (1 / (y * z)))) = (x \ y) * (z * (1 / (y * z))). (x * (y \ z)) * (u * (((x * (y \ z)) \ z) / u)) = (x * (u * ((x \ y) / u))) * (y \ z). ((K(x,y) * z) * (z \ x)) / T(x,y) = a(K(x,y),z,z \ x). L(L(x,y,T(z,u)),T(z,u) * y,K(u,z)) = (z * y) \ (z * (y * x)). x != (y * z) \ (y * (z * u)) | x = L(u,z,y). L(L(x,y,T(z,u)),T(z,u) * y,K(u,z)) = L(x,y,z). L(L(x,y,T(z,u)),T(z,u) * y,K(u,z)) != w | L(x,y,z) = w. x != L(L(y,z,u),w,K(v5,y)) | x = L(y,z,u). L(x,y,x) = L(x,y,T(x,z)). L(x,y,T(x,z)) = L(x,y,x). L(T(x,y),z,T(x,u)) = T(L(x,z,x),y). L(T(x,y),z,T(x,u)) = L(T(x,y),z,x). x != L(y,T(z,u),T(u,z)) | x = L(y,z,u). L(T(x,y),T(z,x),x) = L(T(x,y),z,x). T(x,y) * (L(T(x,y),z,x) \ u) = u * a(T(x,y),z,T(x,y)). a(x,y,x) = a(T(x,z),y,T(x,z)). a(T(x,y),z,T(x,y)) = a(x,z,x). ((x * y) * a(y,z,y)) \ ((y * x) * y) = L(T(y,x),z,T(y,x)). L(x,a(y,z,y),T(y,u)) = x. (T(x,y) * a(x,z,x)) * u = T(x,y) * (a(x,z,x) * u). R(T(x,y),z,x) * u = T(x,y) * (a(x,z,x) * u). T(x,y) * (a(x,z,x) * u) = R(T(x,y),z,x) * u. (x * R(y,z,y)) \ ((y * x) * y) = L(T(y,x),z,T(y,x)). x != L(T(y,z),u,T(y,w)) | x = L(T(y,z),u,y). (x * R(y,z,y)) \ ((y * x) * y) = L(T(y,x),z,y). R(R(x,y,T(z,u)),y * T(z,u),K(u,z)) = ((x * y) * z) / (y * z). R(R(x,y,T(z,u)),y * T(z,u),K(u,z)) = R(x,y,z). R(R(x,y \ z,T(y,y \ z)),z,K(y \ z,y)) = R(x,y \ z,y). R(R(x,y / z,z),y,K(z \ y,z)) = R(x,z \ y,z). 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). ((1 / 1) \ ((x * y) * z)) \ (x * (y * z)) = ((y * z) \ (x \ 1)) \ (z \ (y \ (x \ 1))). K(x,y) * ((z / y) * R(y,u,y)) = R(y,u,y) * (K(x,R(y,u,y)) * (y \ z)). R(x,y,x) * (K(z,R(x,y,x)) * (x \ u)) = K(z,x) * ((u / x) * R(x,y,x)). R(x,y,x) * (K(z,x) * (x \ u)) = K(z,x) * ((u / x) * R(x,y,x)). R(x,y,x) * (T(x,z) \ u) = K(z,x) * ((u / x) * R(x,y,x)). K(x,y) * ((z / y) * R(y,u,y)) = R(y,u,y) * (T(y,x) \ z). x != K(y,z) * ((u / z) * R(z,w,z)) | x = z * (L(T(z,y),w,z) \ u). R(x,y,x) * (T(x,z) \ u) = x * (L(T(x,z),y,x) \ u). 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). ((x \ y) \ R(x \ y,z,x \ y)) * (y / x) = R((x \ y) * K(x,x \ y),z,x \ y). x != T(y,z) \ T(y * K(u,y),z) | x = K(u,T(y,z)). K(T(x,y) * z,T(T(x,u),w)) = K(x * z,T(T(x,u),w)). K(((x \ y) \ y) * z,T(T(x,u),w)) = K(x * z,T(T(x,u),w)). x != K(y,L(L(z,u,K(y,w)),v5,v6)) | x = K(y,L(z,v5,v6)). K(x,(y * (K(x,z) * u)) \ (y * (u * w))) = K(x,L(w,K(x,z) * u,y)). x != K(y,(z * (K(y,u) * w)) \ v5) | x = K(y,(z * w) \ v5). K(x,L(y,K(x,z) * u,w)) = K(x,(w * u) \ (w * (u * y))). K(x,L(y,K(x,z) * u,w)) = K(x,L(y,u,w)). (x \ 1) / (x \ K(x,L(y,z,u))) = K(L(y,K(x,w) * z,u),x). K(L(x,K(y,z) * u,w),y) = (y \ 1) / (y \ K(y,L(x,u,w))). x != (y \ 1) / (y \ K(y,z)) | x = K(z,y). K(L(x,K(y,z) * u,w),y) = K(L(x,u,w),y). K(L(x,y,z),u) = K(L(x,T(y,u),z),u). K(L(x,T(y,z),u),z) = K(L(x,y,u),z). x != K(R(R(y,K(z,u),w),v5,v6),u) | x = K(R(y,v5,v6),u). K((((x * K(y,z)) * u) * w) / (u * w),z) = K(R(x,K(y,z) * u,w),z). K(R(x * K(y,z),u,w),z) = K(R(x,K(y,z) * u,w),z). x != K(R(y * K(z,u),w,v5),u) | x = K(R(K(z,u) * y,w,v5),u). K(R(x,K(y,z) * u,w),z) = K(R(K(y,z) * x,u,w),z). K(R(K(x,y) * z,u,w),y) = K(R(z,K(x,y) * u,w),y). x != K(R(K(y,z) * u,w,v5),z) | x = R(K(u,z),w * (K(y,z) * u),v5). K(R(x,K(y,z) * u,w),z) = R(K(x,z),u * (K(y,z) * x),w). R(K(x,y),z * (K(u,y) * x),w) = K(R(x,K(u,y) * z,w),y). x != K(y,R(R(z,K(u,y),w),v5,v6)) | x = K(y,R(z,v5,v6)). K(x,(((y * K(z,x)) * u) * w) / (u * w)) = K(x,R(y,K(z,x) * u,w)). K(x,R(y * K(z,x),u,w)) = K(x,R(y,K(z,x) * u,w)). R(T(x,y),z,x) \ (x * (K(x,y) * (a(x,z,x) * u))) = L(u,x \ R(T(x,y),z,x),x). 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(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)). K(x,T(T(x * T(y,z),u),y)) = T(K(x,x * T(y,z)),u). K(x,T(T(x * T(y,z),u),y)) != w | K(x,T(x * T(y,z),u)) = w. T(T(x,y) / T(R(x,z,x),u),R(x,z,x)) = (x \ L(T(x,y),z,x)) * K(u,x). x != (y \ L(T(y,z),u,w)) * K(v5,y) | x = T(y,v5) \ L(T(y,z),u,w). T(T(x,y) / T(R(x,z,x),u),R(x,z,x)) = T(x,u) \ L(T(x,y),z,x). K(x,T(T(y * T(x,z),u),w)) = K(x,T(T(T(x,z) * y,u),w)). K(x,T(T(T(x,y) * z,u),w)) = K(x,T(T(z * T(x,y),u),w)). x != K(y,T(T(T(y,z) * u,w),v5)) | x = K(y,T(T(y * u,w),v5)). K(x,T(T(y * T(x,z),u),w)) = K(x,T(T(x * y,u),w)). x != K(a(y,z,u),T(y,w)) | x = K(a(y,z,u),y). K(x \ R(x,y,z),R(x,x \ R(x,y,z),y * z)) = K(a(x,y,z),x). 1 = K(a(x,y,z),x). K(a(x,y,z),x) = 1. T(a(x,y,z),x) = a(x,y,z). x * a(x,y,z) = a(x,y,z) * x. a(x,y,z) * x = x * a(x,y,z). T(a(1 / x,y,z),x \ 1) = a(x \ 1,y,z). K((x * ((y * z) \ y)) \ ((1 / ((y * z) \ y)) \ u),y \ (y * z)) = K(x \ u,z). K((x * ((y * z) \ y)) \ ((1 / ((y * z) \ y)) \ u),z) = K(x \ u,z). K(((x * y) \ x) \ (y \ ((1 / ((x * y) \ x)) \ z)),y) = K(y \ z,y). (x * (y * R(z,u,L(z,y,x)))) / (x * (y * z)) = a(L(z,y,x),u,L(z,y,x)). K(x \ T(y,z),T(y,z) \ x) / (z * x) = ((z * x) \ (y * z)) * (1 / (y * z)). (x * y) \ (x * (K(z \ 1,z) / (u * x))) = (y \ (1 / x)) / (u * K(z,z \ 1)). (x * y) \ (K(z \ x,x \ z) / u) = (y \ (1 / x)) / (u * K(z,z \ 1)). x != y / (z * K(u,u \ 1)) | x = K(u \ 1,u) * (y / z). (x * y) \ (K(z \ x,x \ z) / u) = K(z \ 1,z) * ((y \ (1 / x)) / u). x != K(y \ 1,y) * ((z \ (1 / u)) / w) | x = (z \ ((y \ 1) * (y / u))) / w. (x * y) \ (K(z \ x,x \ z) / u) = (y \ ((z \ 1) * (z / x))) / u. (x * y) * (z * (((x * ((u / y) \ u)) \ u) / z)) = (x * (z * ((x \ (u / y)) / z))) * ((u / y) \ u). (x * (y * ((x \ (z / u)) / y))) * ((z / u) \ z) = (x * u) * (y * (((x * ((z / u) \ z)) \ z) / y)). T(x * (y / x),z) = (x / y) \ T(x * K(y,z),(x / y) \ 1). (x / y) \ T(x * K(y,z),(x / y) \ 1) = T(x * (y / x),z). T(x * (y / x),z) / T(y,z) = K(x * K(y,z),(x / y) \ 1). K(x * K(y,z),(x / y) \ 1) = T(x * (y / x),z) / T(y,z). x != T(y * (z / y),u) / T(z,u) | x = K(y,y \ T(z,u)). K(x * K(y,z),(x / y) \ 1) = K(x,x \ T(y,z)). x != K(y * K(z,u),(y / w) \ 1) | x = K(K(z,u) * y,y \ w). K(x,x \ T(y,z)) = K(K(y,z) * x,x \ y). K(K(x,y) * z,z \ x) = K(z,z \ T(x,y)). (1 \ ((x * y) * z)) \ (x * (y * z)) = ((y * z) \ (x \ 1)) \ (z \ (y \ (x \ 1))). ((x * y) \ (z \ 1)) \ (y \ (x \ (z \ 1))) = (1 \ ((z * x) * y)) \ (z * (x * y)). ((x * y) \ (z \ 1)) \ (y \ (x \ (z \ 1))) = ((z * x) * y) \ (z * (x * y)). ((x \ y) \ R(x \ y,z,x \ y)) * (y / x) = R(y / x,z,x \ y). a(x \ y,z,x \ y) * (y / x) = R(y / x,z,x \ y). x != R(y / z,u,z \ y) | x = R(T(y / z,K(z,y)),u,y / z). a(x \ y,z,x \ y) * (y / x) = R(T(y / x,K(x,y)),z,y / x). R(T(x / y,K(y,x)),z,x / y) = a(y \ x,z,y \ x) * (x / y). a(x / y,z,x / y) = a(y \ x,z,y \ x). R(T(x,y),z,x) \ (T(x,y) * (a(x,z,x) * u)) = L(u,x \ R(T(x,y),z,x),x). R(T(x,y),z,x) \ (R(T(x,y),z,x) * u) = L(u,x \ R(T(x,y),z,x),x). L(x,y \ R(T(y,z),u,y),y) = x. L(x,K(y,z) * a(y,u,y),y) = x. L(x,T(y / T(x,y),z),x) * T(y / T(x,y),z) = ((x * T(x \ y,z)) * x) / x. L(x,T(y / T(x,y),z),x) * T(y / T(x,y),z) != u | u = x * T(x \ y,z). L(x,T(y / T(x,y),z),x) * T(y / T(x,y),z) != u | x * T(x \ y,z) = u. (x * y) \ (x * (y * z)) = L(z,y * K(u \ 1,u),x). L(x,y * K(z \ 1,z),u) = (u * y) \ (u * (y * x)). L(x,y * K(z \ 1,z),u) = L(x,y,u). L(x,y \ 1,z) = L(x,1 / y,z). L(x,1 / y,z) = L(x,y \ 1,z). L(x,K(y \ 1,y) * z,u) = L(x,z,u). L(x,y * (z \ 1),u) = L(x,y * (1 / z),u). L(x,y * (1 / z),u) = L(x,y * (z \ 1),u). L(x,T((y \ 1) \ 1,z) \ u,w) = L(x,T(y,z) \ u,w). L(x,T(1 / y,z) \ u,w) = L(x,T(y \ 1,z) \ u,w). L(x,y / T(1 / z,u),w) = L(x,y / T(z \ 1,u),w). L(x,(y \ K(y,z)) * T(y,u),w) = L(x,K(y,z) * K(y,u),w). L(x,y * (K(z,u) / T(u,w)),v5) = L(x,y * ((K(u,z) * T(u,w)) \ 1),v5). L(x,y * ((K(z,u) * T(z,w)) \ 1),v5) = L(x,y * (K(u,z) / T(z,w)),v5). x != L(y,T(1 / z,u) \ 1,y) | x = T(y,T(z * y,u)) * K(z,T(y,u)). L(x,T(y \ 1,z) \ 1,x) = T(x,T(y * x,z)) * K(y,T(x,z)). T(x,T(y * x,z)) * K(y,T(x,z)) = L(x,T(y \ 1,z) \ 1,x). x != T(y,T(z * y,u)) * K(z,T(y,u)) | x = L(y,z,y). L(x,T(y \ 1,z) \ 1,x) = L(x,y,x). x != L(y,T((z \ 1) \ 1,u) \ w,v5) | x = L(y,T(z,u) \ w,v5). L(x,y \ 1,x) = L(x,T(y,z) \ 1,x). L(x,T(y,z) \ 1,x) = L(x,y \ 1,x). L(x,(y \ z) \ 1,x) = L(x,(z / y) \ 1,x). L(x,(y / z) \ 1,x) = L(x,(z \ y) \ 1,x). L(x,y * (T(z,u) \ K(w,z)),v5) = L(x,y * (K(u,z) / T(z,w)),v5). L(x,y * (K(z,u) / T(u,w)),v5) = L(x,y * (T(u,z) \ K(w,u)),v5). T(L(x,x \ y,x),z) = L(T(x,z),x \ (y * K(u,x)),x). L(T(x,y),x \ (z * K(u,x)),x) = T(L(x,x \ z,x),y). L(T(x,y),x \ (K(z,x) * u),x) = T(L(x,x \ u,x),y). L(T(x,y),x \ (K(z,x) * u),x) = L(T(x,y),x \ u,x). L(T(x,y),T(x,z) \ u,x) = L(T(x,y),x \ u,x). L(T(x,y),T(z / T(x,u),x),x) = L(T(x,y),x \ z,x). x != L(T(y,z),T(u,y),y) | x = L(T(y,z),u,y). L(T(x,y),x \ z,x) = L(T(x,y),z / T(x,u),x). L(T(x,y),z / T(x,u),x) = L(T(x,y),x \ z,x). K(((x * (y * z)) / z) \ 1,y \ 1) = K((x / R(1 / y,y,z)) \ 1,z / (y * z)). K((x / R(1 / y,y,z)) \ 1,z / (y * z)) = K(((x * (y * z)) / z) \ 1,y \ 1). x != K((y / z) \ 1,u) | x = K(z / y,u). K((x / R(1 / y,y,z)) \ 1,z / (y * z)) = K(z / (x * (y * z)),y \ 1). K((x / R(1 / y,y,z)) \ 1,y \ 1) = K(z / (x * (y * z)),y \ 1). K(R(1 / x,x,y) / z,x \ 1) = K(y / (z * (x * y)),x \ 1). K(x \ R(1 / y,y,z),y \ 1) = K(z / (x * (y * z)),y \ 1). x != K(y \ R(1 / z,u,w),v5) | x = K(y \ R(z \ 1,u,w),v5). K(x / (y * (z * x)),z \ 1) = K(y \ R(z \ 1,z,x),z \ 1). K(x \ R(y \ 1,y,z),y \ 1) = K(z / (x * (y * z)),y \ 1). K(x \ (y / (z * y)),z \ 1) = K(y / (x * (z * y)),z \ 1). K(x / (y * (z * x)),z \ 1) = K(y \ (x / (z * x)),z \ 1). x != K(y \ (z / (u * z)),u \ 1) | x = K(y \ ((u * z) \ z),u \ 1). K(x / (y * (z * x)),z \ 1) = K(y \ ((z * x) \ x),z \ 1). K(x / (y * ((z \ 1) * x)),(z \ 1) \ 1) != u | K(y \ (x / ((z \ 1) * x)),z) = u. x != (y \ R(y,z \ 1,y)) / (T(y * (z \ 1),y) / y) | x = z. R(x,x \ 1,y \ R(y,x \ 1,y)) = x. R(x,x \ 1,a(y,x \ 1,y)) = x. x \ a(y,x \ 1,y) = (x \ 1) * a(y,x \ 1,y). (x \ 1) * a(y,x \ 1,y) = x \ a(y,x \ 1,y). T(x \ a(y,x \ 1,y),y) = y \ T(y * (x \ 1),y). (x \ T(x * (y \ 1),x)) * R(T(y \ a(x,y \ 1,x),x) \ 1,z,u) = T((y \ a(x,y \ 1,x)) * R((y \ a(x,y \ 1,x)) \ 1,z,u),x). T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = (y \ T(y * (x \ 1),y)) * R(T(x \ a(y,x \ 1,y),y) \ 1,z,u). x != T(y,y \ (((y \ 1) * z) \ 1)) | x = T(y,z \ 1). T(x,L(x * (y \ z),x \ 1,y) \ 1) = T(x,((y * (x \ 1)) \ z) \ 1). x != T(y,(z \ u) \ 1) | x = T(y,u \ z). T(x,L(x * (y \ z),x \ 1,y) \ 1) = T(x,z \ (y * (x \ 1))). x != T(y,L(y * (z \ u),y \ 1,w) \ 1) | x = T(y,u \ (y \ z)). T(x,y \ (z * (x \ 1))) = T(x,y \ (x \ z)). x != T(y,z \ (u * (y \ 1))) | x = T(y,(z / (y \ 1)) \ u). T(x,y \ (x \ z)) = T(x,(y / (x \ 1)) \ z). T(x,(y / (x \ 1)) \ z) = T(x,y \ (x \ z)). x != T(y,(z / (y \ 1)) \ u) | x = T(y,((y \ 1) \ z) \ u). T(x,y \ (x \ z)) = T(x,((x \ 1) \ y) \ z). T(x,((x \ 1) \ y) \ z) = T(x,y \ (x \ z)). T(x,T(y,x \ 1) \ z) = T(x,(y * (x \ 1)) \ (x \ z)). T(x,(y * (x \ 1)) \ (x \ z)) = T(x,T(y,x \ 1) \ z). x != T(y,(z * (y \ 1)) \ (y \ u)) | x = T(y,R(z,y \ 1,y) \ u). T(x,T(y,x \ 1) \ z) = T(x,R(y,x \ 1,x) \ z). T(x,R(y,x \ 1,x) \ z) = T(x,T(y,x \ 1) \ z). x != T(y,T(z,y \ 1) \ u) | x = T(y,z \ u). T(x,R(y,x \ 1,x) \ z) = T(x,y \ z). x != T(y,R(z,y \ 1,y) \ (y * u)) | x = T(y,(z * (y \ 1)) \ u). T(x,y \ (x * z)) = T(x,(y * (x \ 1)) \ z). T(x,(y * (x \ 1)) \ z) = T(x,y \ (x * z)). x != (y * z) / z | x = y. R(K(R(x,y,z),u),w,L(x,w,K(R(x,y,z),u))) = K(R(x,y,z),u). R(K(R(x,y,z),u),w,x) = K(R(x,y,z),u). (T(T(x,y),T(z,y)) * u) / (K(x,y) * u) = R(T(x,z),T(K(x,y),T(x,z)),u). R(T(x,y),T(K(x,z),T(x,y)),u) = (T(T(x,z),T(y,z)) * u) / (K(x,z) * u). R(T(x,y),K(x,z),u) = (T(T(x,z),T(y,z)) * u) / (K(x,z) * u). (T(T(x,y),T(z,y)) * u) / (K(x,y) * u) = R(T(x,z),K(x,y),u). R(R(T(x,y),K(x,z),u),w,v5) * (K(x,z) * u) = (K(x,z) * u) * R((K(x,z) * u) \ (T(T(x,z),T(y,z)) * u),w,v5). (K(x,y) * z) * R((K(x,y) * z) \ (T(T(x,y),T(u,y)) * z),w,v5) = R(R(T(x,u),K(x,y),z),w,v5) * (K(x,y) * z). K(x * R(y,z,u),y) * K(y,K(w,x)) = T(K(x * R(y,z,u),T(y,x)),w). K(x * R(y,z,u),y) * K(x,K(y,w)) = T(K(x * R(y,z,u),T(y,x)),w). K(x * R(y,z,u),y) * K(x,K(y,w)) = T(K(x * R(y,z,u),y),w). x != K(y * R(z,u,w),z) * K(y,K(z,v5)) | x = a(z,y,R(z,u,w)) * T(K(y,z),v5). T(K(x * R(y,z,u),y),w) = a(y,x,R(y,z,u)) * T(K(x,y),w). a(x,y,R(x,z,u)) * T(K(y,x),w) = T(K(y * R(x,z,u),x),w). T(K(x * R(y,z,u),y),w) * T(K(y,x),w) = a(y,x,R(y,z,u)). T(K(x,y) * K(y * R(x,z,u),x),w) = a(x,y,R(x,z,u)). K(x \ (L(y,z,u) * w),T(y,L(y,z,u) \ x)) = K((((L(y,z,u) \ x) \ w) \ w) \ w,y). K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K(u \ (L(x,y,z) * w),T(x,L(x,y,z) \ u)). a(x,y,x) * K(y,T(x,z)) = K(T(x,z * y) * y,T(x,z * y)). K(T(x,y * z) * z,T(x,y * z)) = a(x,z,x) * K(z,T(x,y)). K(x * y,T(x,z)) = a(x,y,x) * K(y,T(x,z)). a(x,y,x) * K(y,T(x,z)) = K(x * y,T(x,z)). K(x * y,T(x,z)) * K(x,T(y,z)) = a(x,y,x). K(x * T(y,z),T(x,u)) * K(x,T(T(y,u),z)) = a(x,T(y,z),x). K(((x \ y) \ 1) * z,T((x \ y) \ 1,x)) * K((x \ y) \ 1,T(z,T(x,y))) = a((x \ y) \ 1,z,(x \ y) \ 1). K(((x \ y) \ y) * z,T(T(x,y),u)) * K((x \ y) \ y,T(z,u)) = a((x \ y) \ y,z,(x \ y) \ y). K(((x / y) \ 1) * z,T(y / x,u)) * K((x / y) \ 1,T(z,u)) = a((x / y) \ 1,z,(x / y) \ 1). a(x,T(y,z),x) != u * K(x,T(T(y,w),z)) | K(x * T(y,z),T(x,w)) = u. R(T(x,K(y,z)),K(z,y),x) \ T(K(z,y) * x,x) = T(K(z,y),T(x,K(y,z))). x != T(K(y,z),T(u,K(w,y))) | x = K(y,T(z,u)). R(T(x,K(y,z)),K(z,y),x) \ T(K(z,y) * x,x) = K(z,T(y,x)). 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)). K(L(x,y * z,u),z) = K(x,L(L(z,y,x),x * y,u)). x != K(y,L(L(z,u,y),w,v5)) | x = K(y,L(z,w,v5)). K(L(x,y * z,u),z) = K(x,L(z,x * y,u)). K(L(x,(x \ y) * z,u),z) = K(x,L(z,y,u)). K(L(x,T(y * (x \ z),y),u),R(y,x \ z,y)) = K(x,L(R(y,x \ z,y),z,u)). K(x,y \ K(z,L(x,u,w))) = K(x,y \ 1). 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(x,(L(T(x,y),z,u) \ w) \ 1) = K(x,w \ L(x,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)). K(L(x,T(y * (x \ z),y),u),y) = K(x,L(R(y,x \ z,y),z,u)). x != K(L(y,T(z,u),w),u) | x = K(L(y,z,w),u). K(x,L(R(y,x \ z,y),z,u)) = K(L(x,y * (x \ z),u),y). (x * (y * z)) \ ((x * K(z,y)) * (y * z)) = L(K(z,y),T(x,y * z),y * z). K(x,((y / z) * (z * x)) \ (y * (z * x))) = L(K(x,z),T(y,z * x),z * x). K(x,((y / z) * z) \ (x \ (y * (z * x)))) = L(K(x,z),T(y,z * x),z * x). K(x,y \ (x \ (y * (z * x)))) = L(K(x,z),T(y,z * x),z * x). L(K(x,y),T(z,y * x),y * x) = K(x,z \ (x \ (z * (y * x)))). x != K(y,z \ (y \ (z * (u * y)))) | x = K(y,L(u,y,z)). L(K(x,y),T(z,y * x),y * x) = K(x,L(y,x,z)). L(K(x,y),z,y * x) = K(x,L(y,x,((y * x) * z) / (y * x))). K(x,L(y,x,((y * x) * z) / (y * x))) = L(K(x,y),z,y * x). (x * (y * z)) * K(z,L(y,z,x)) = (y * z) * T(x * K(z,y),y * z). x != (y * (z * u)) * K(u,L(z,u,y)) | x = y * (u * z). (x * y) * T(z * K(y,x),x * y) = z * (y * x). x * y != (z * u) * T(w * K(u,z),z * u) | (w * (u * z)) / y = x. (x * (y * z)) / (z * y) = x * K(y,z). (x / (y * z)) * K(y,z) = x / (z * y). (x / y) * K(y / z,z) = x / (z * (y / z)). K(x,y / (z * x)) != u | K(x,y / (x * z)) = u. x != (y / z) * K(z / y,u) | x = 1 / ((u * ((y / z) \ 1)) / u). x / (x * (y / x)) = 1 / ((x * ((x / y) \ 1)) / x). 1 / ((x * ((x / y) \ 1)) / x) = x / (x * (y / x)). (x / (x * (y / x))) \ 1 = (x * ((x / y) \ 1)) / x. (x * ((x / y) \ 1)) / x = (x / (x * (y / x))) \ 1. x / (x * (((y / x) \ 1) \ 1)) = ((x * ((x / y) \ 1)) / x) \ 1. x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)) = ((x * ((K(y,x / y) / (x \ y)) \ 1)) / x) \ 1. ((x * ((K(y,x / y) / (x \ y)) \ 1)) / x) \ 1 = x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)). 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))). K(x,R(K(y,R(z,u,w) \ z),z,u * w)) = K(x,K(a(z,u,w),T(y,z * (u * w)))). x != K(y,R(K(z,u),w,v5)) | x = K(y,K(u,R(z,w,v5))). K(x,K(a(y,z,u),T(w,y * (z * u)))) = K(x,K(R(y,z,u) \ y,R(w,y,z * u))). K(x,K(R(y,z,u) \ y,R(w,y,z * u))) = K(x,K(a(y,z,u),T(w,y * (z * u)))). T(x * L(K(y,z),u,w),K(y,v5)) = T(x,K(y,v5)) * L(K(y,z),u,w). (K(x,y) * (K(y,z) * u)) * (K(y,x) * K(z,y)) != w | u * K(K(x,y) * K(y,z),u) = w. 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). x != K(y,T(z,L(z,u,w) \ v5)) | x = K(y,T(z,v5)). K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K(u \ (L(x,y,z) * w),T(x,u)). K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K((L(x,y,z) * w) / u,x). (R(x,y,z) * (u * x)) \ ((u * x) * R(T(x,u),y,z)) = a(x,T(u,x),R(T(x,u),y,z)). (R(x,y,z) * (u * x)) \ ((R(x,y,z) * u) * x) = a(x,T(u,x),R(T(x,u),y,z)). a(R(x,y,z),u,x) = a(x,T(u,x),R(T(x,u),y,z)). a(x,T(y,x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). x != a(y,z,u) | x = a(T(y,z),T(z,y),u). a(R(x,y,z),u,x) = a(T(x,T(u,x)),T(T(u,x),x),R(T(x,u),y,z)). a(T(x,T(y,x)),T(T(y,x),x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). a(T(x,y),T(T(y,x),x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). x != a(T(y,z),T(u,y),R(T(y,z),w,v5)) | x = a(T(y,z),u,R(T(y,z),w,v5)). a(R(x,y,z),u,x) = a(T(x,u),T(u,x),R(T(x,u),y,z)). a(T(x,y),T(y,x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). a(x,y,R(T(x,y),z,u)) = a(R(x,z,u),y,x). R(T(x,y),y,R(T(x,y),z,u)) \ T(x,y) = a(R(x,z,u),y,x) \ 1. x != R(y,z,R(y,u,w)) \ y | x = a(y,z,R(y,u,w)) \ 1. a(R(x,y,z),u,x) \ 1 = a(T(x,u),u,R(T(x,u),y,z)) \ 1. a(T(x,y),y,R(T(x,y),z,u)) \ 1 = a(R(x,z,u),y,x) \ 1. 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. ((x * (y \ K(x,z))) * K(z,x)) * (y / x) = K((y / x) \ K(x,z),K(x,z) \ (y / x)). K((x / y) \ K(y,z),K(y,z) \ (x / y)) = ((y * (x \ K(y,z))) * K(z,y)) * (x / y). K((x / y) \ K(y,z),K(y,z) \ (x / y)) = (y * ((x \ K(y,z)) * K(z,y))) * (x / y). K((x / y) \ K(y,z),K(y,z) \ (x / y)) = (y * (x \ 1)) * (x / y). x != (y * (z \ 1)) * (z / y) | x = K(z \ y,y \ z). K((x / y) \ K(y,z),K(y,z) \ (x / y)) = K(x \ y,y \ x). K(x * (y \ K(x,z)),K(x,z) \ (y / x)) = K(y \ x,x \ y). 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). x != ((y * z) / y) / ((y * (z * K(u,z))) / y) | x = K(z,T(u,y)). K(x,T(y / ((K(x,z) * u) * w),v5)) = K(x,T(y / (u * w),v5)). K(x,T(y / ((z * T(x,u)) * w),v5)) = K(x,T(y / ((z * x) * w),v5)). x != T(y,K(z,u / z) / (u \ z)) | x = T(y,1 / (z / u)). (((x / (1 / (x \ y))) / x) \ 1) \ 1 = T((x / (1 / (x \ y))) / x,1 / (y / x)). T((x / (1 / (x \ y))) / x,1 / (y / x)) = (((x / (1 / (x \ y))) / x) \ 1) \ 1. T((x / (1 / (x \ y))) / x,1 / (y / x)) = (1 / ((x / ((x \ y) \ 1)) / x)) \ 1. T((x / (1 / (x \ y))) / x,1 / (y / x)) = (x / ((x \ y) \ 1)) / x. x != T((y / (1 / (y \ z))) / y,1 / (z / y)) | x = y \ (y / ((z / y) \ 1)). (x / ((x \ y) \ 1)) / x = x \ (x / ((y / x) \ 1)). x * ((x / ((x \ y) \ 1)) / x) = x / ((y / x) \ 1). K(x,(y * (x \ z)) \ u) = K((x \ 1) \ 1,(y * (L(z,x \ 1,x) / x)) \ u). K((x \ 1) \ 1,(y * (L(z,x \ 1,x) / x)) \ u) = K(x,(y * (x \ z)) \ u). K(x,(y * (L(z,x \ 1,x) / x)) \ u) = K(x,(y * (x \ z)) \ u). K(x,(y * (x \ L(z,x \ 1,x))) \ u) = K(x,(y * (x \ z)) \ u). K(x,(y * ((x \ 1) * z)) \ u) = K(x,(y * (x \ z)) \ u). x != K(y,(z * ((y \ 1) * u)) \ w) | x = K(y,(z * u) \ (w * y)). K(x,(y * (x \ z)) \ u) = K(x,(y * z) \ (u * x)). x != K(y,(z * (y \ u)) \ w) | x = K(y,(z * (u / y)) \ w). K(x,(y * z) \ (u * x)) = K(x,(y * (z / x)) \ u). K(x,(y * (z / x)) \ u) = K(x,(y * z) \ (u * x)). x != K(y,(z * (y \ u)) \ w) | x = L(K(y,u \ ((z \ w) * y)),z \ w,z). K(x,(y * z) \ (u * x)) = L(K(x,z \ ((y \ u) * x)),y \ u,y). L(K(x,y \ ((z \ u) * x)),z \ u,z) = K(x,(z * y) \ (u * x)). K(x,(y * (x \ 1)) \ z) = K(x,y \ (z * x)). K(x,((x \ y) * z) \ u) = K(x,((z * K(x \ y,z)) * y) \ (u * x)). K(x,((y * K(x \ z,y)) * z) \ (u * x)) = K(x,((x \ z) * y) \ u). (x \ 1) / (x \ K(x,(y * z) \ (u * x))) = K((y * (z / x)) \ u,x). L(K(x,(y * z) \ ((u \ w) * x)),u \ w,u) = K(x,(u * (y * (z / x))) \ w). x != K(y,(z * (y \ 1)) \ u) | x = K(y,((y \ 1) * z) \ u). K(x,y \ (z * x)) = K(x,((x \ 1) * y) \ z). K(x,((x \ 1) * y) \ z) = K(x,y \ (z * x)). x != K(y,(z * (u \ 1)) \ w) | x = L(K(y,u * (z \ w)),z \ w,z). K(x,y \ (z * x)) = L(K(x,x * (y \ z)),y \ z,y). L(K(x,x * (y \ z)),y \ z,y) = K(x,y \ (z * x)). x != K(T(y,z),((T(y,z) \ 1) * z) \ u) | x = K(y,u / ((y \ 1) * z)). K(T(x,y),y \ (z * T(x,y))) = K(x,z / ((x \ 1) * y)). K(x,(y * T(x,z)) / z) = K(x,y / ((x \ 1) * z)). K(x,y / (x \ z)) = K(x,y / ((x \ 1) * z)). K(x,y / ((x \ 1) * z)) = K(x,y / (x \ z)). x != K(y,((z * u) * w) / (z * w)) | x = K(T(y,z),R(u,z,w)). K(x,(((x \ 1) * y) * z) / (x \ z)) = K(T(x,x \ 1),R(y,x \ 1,z)). K(x,(((K(y,x \ z) / y) \ 1) * z) \ (u * x)) = K(x,((x \ z) * y) \ u). K((x * y) \ (z * u),u) = K((x * (y / u)) \ z,u). K((x * (y / z)) \ u,z) = K((x * y) \ (u * z),z). K((x * (y \ z)) \ u,y) = K((x * z) \ (u * y),y). K((x * y) \ (z * u),u) != w | K((x * (u \ y)) \ z,u) = w. K((x * (y \ 1)) \ z,y) = K(x \ (z * y),y). x != K((y * (z \ 1)) \ u,w) | x = L(K(z * (y \ u),w),y \ u,y). K(x \ (y * z),z) = L(K(z * (x \ y),z),x \ y,x). L(K(x * (y \ z),x),y \ z,y) = K(y \ (z * x),x). x != K((y * (z \ 1)) \ (y * u),w) | x = L(K(z * u,w),u,y). K(x \ ((x * y) * z),z) = L(K(z * y,z),y,x). L(K(x * y,x),y,z) = K(z \ ((z * y) * x),x). K(x,x * y) * K(z \ ((z * y) * x),x) = a(z,y,K(x,x * y)). K(x,y \ ((y * z) * x)) * a(y,z,K(x,x * z)) = K(x,x * z). L(K(x,x * y),y,z) = K(x,z \ ((z * y) * x)). L(K(x,y * x),y,z) = K(x,z \ ((z * y) * x)). L(K(L(x,y,z),y * L(x,y,z)),y,z) = K(L(x,y,z),y * x). x != K(L(y,z,u),z * y) | x = K(y,y * z). L(K(L(x,y,z),y * L(x,y,z)),y,z) = K(x,x * y). x != K(T(y,y \ 1),z) | x = K(y,z). K(x,(((x \ 1) * y) * z) / (x \ z)) = K(x,R(y,x \ 1,z)). K(x,(y / (((x \ 1) * z) * y)) \ x) = K(x,R(z,x \ 1,y)). x != K(y,R(z \ u,z,w)) | x = R(K(y,z \ u),u,w). K(x,(y / (((x \ 1) * ((x \ 1) \ z)) * y)) \ x) = R(K(x,(x \ 1) \ z),z,y). R(K(x,(x \ 1) \ y),y,z) = K(x,(z / (((x \ 1) * ((x \ 1) \ y)) * z)) \ x). x != K(y,((z \ 1) * u) \ w) | x = K(y,((1 / z) * u) \ w). K(x,((x \ y) * z) \ u) = K(x,((1 / (K(z,x \ y) / z)) * y) \ (u * x)). K(x,((1 / (K(y,x \ z) / y)) * z) \ (u * x)) = K(x,((x \ z) * y) \ u). x != L(K(y,z \ ((u \ w) * y)),u \ w,u) | x = K(y,(u * z) \ (w * y)). K(x,(y * (z * (u / x))) \ w) = K(x,(y * (z * u)) \ (w * x)). x != K(y,(z * (u * (w / y))) \ (u * (y \ w))) | x = K(y,(u * (w / y)) \ (z \ (u * (w / y)))). K(x,(y * (z * u)) \ ((z * (x \ u)) * x)) = K(x,(z * (u / x)) \ (y \ (z * (u / x)))). K(x,(y * (z / x)) \ (u \ (y * (z / x)))) = K(x,(u * (y * z)) \ ((y * (x \ z)) * x)). R(K(x,x * y),y,z) = K(x,(z / (((x \ 1) * ((x \ 1) \ y)) * z)) \ x). R(K(x,x * y),y,z) = K(x,(z / (y * z)) \ x). x != K(y,(z / (u * z)) \ w) | x = K(y,R(u \ 1,u,z) \ w). R(K(x,x * y),y,z) = K(x,R(y \ 1,y,z) \ x). K(x,R(y \ 1,y,z) \ x) = R(K(x,x * y),y,z). T(x,R(y \ 1,y,z) \ x) = x * R(K(x,x * y),y,z). x != K(y,z \ (u \ z)) | x = K(y,T(u \ 1,z)). K(x,(y * (z * u)) \ ((z * (x \ u)) * x)) = K(x,T(y \ 1,z * (u / x))). x != K(y,T(z,u * (w / y))) | x = K(y,T(z,u * w)). K(x,(y * (z * u)) \ ((z * (x \ u)) * x)) = K(x,T(y \ 1,z * u)). K(x,y \ ((z * (x \ u)) * x)) = K(x,T((y / (z * u)) \ 1,z * u)). K(x,T((y / (z * u)) \ 1,z * u)) = K(x,y \ ((z * (x \ u)) * x)). x != K(y,T((z / u) \ 1,u)) | x = K(y,(u \ z) \ 1). K(x,y \ ((z * (x \ u)) * x)) = K(x,((z * u) \ y) \ 1). K(x,y \ ((z * (x \ u)) * x)) = K(x,y \ (z * u)). K(x,y * (x \ z)) = K(x,x \ (y * z)). K(x,x \ (y * z)) = K(x,y * (x \ z)). x != K(y,z \ (((y \ z) * u) * y)) | x = K(y,u). K(x,y \ ((x \ y) * z)) = K(x,x \ z). K(x,x \ (y * (x * z))) = K(x,y * z). K(x \ 1,y * ((x \ 1) \ z)) != u | K(x \ 1,(y * z) * x) = u. L(K(x,x \ y),y,x \ z) = K(x,x \ y). x != K(y,z \ (u * (y * w))) | x = K(y,z \ (u * (w * y))). K(x,y * z) = K(x,x \ (y * (z * x))). K(x,x \ (y * (z * x))) = K(x,y * z). K(x,K(y,z * u)) = K(x,K(y,z * (u * y))). K(x,K(y,z * (u * y))) = K(x,K(y,z * u)). L(K(x,x \ y),y,z) = K(x,x \ y). K(x,y \ (x \ (y * z))) = K(x,x \ z). K(x,(y * x) \ z) = K(x,x \ (y \ z)). K(x,x \ y) * z != L(K(x,x \ y),y,u) | 1 = z. 1 = a(x,y,K(z \ y,z)). a(x,y,K(z \ y,z)) = 1. L(K(x \ y,x),y,z) = K(x \ y,x). K(x \ (y \ (x * z)),y) = K(y \ z,y). K(x,y \ (x \ z)) = K(x,x \ (y \ z)). K(x,(x \ y) * z) = K(x,x \ ((y \ 1) \ z)). K(x,x \ ((y \ 1) \ z)) = K(x,(x \ y) * z). K(x \ (y \ z),y) = K(y \ (x \ z),y). (x * y) * K(z \ y,z) = x * ((z \ y) * z). K(x,y * (x \ z)) = K(x,x \ ((1 / y) \ z)). K(x,x \ ((1 / y) \ z)) = K(x,y * (x \ z)). K(x,y * (x \ z)) = K(x,x \ ((y \ 1) \ z)). K(x,x \ ((y \ 1) \ z)) = K(x,y * (x \ z)). x != K(y,z \ (y \ u)) | x = K(y,(u \ z) \ (y \ 1)). K(x,x \ (y \ z)) = K(x,(z \ y) \ (x \ 1)). K(x,(y \ z) \ (x \ 1)) = K(x,x \ (z \ y)). x != K(y,(z * (y \ u)) \ (y \ w)) | x = K(y,(z * u) \ w). K(x,x \ ((y * (x \ z)) \ u)) = K(x,(y * z) \ u). K(x \ ((x \ y) \ z),x) = K(y \ z,x). K(L(x,y,z) \ ((x \ (L(x,y,z) \ u)) \ w),L(x,y,z)) = K((x \ u) \ w,L(x,y,z)). K(L(x,y,z) \ ((x \ (1 / L(x,y,z))) \ u),L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). K(x,K(y / z,u * y)) = K(x,K(y / z,u * z)). K(x,K(y / z,u * z)) = K(x,K(y / z,u * y)). R(x,y,K(z \ y,z)) = x. x != R(R(y,z / u,u),z,K(u \ z,u)) | x = R(y,u \ z,u). R(x,y / z,z) = R(x,z \ y,z). R(x,y * z,K(z,y)) = x. R(x,y,T(z,y)) = R(x,y,z). x * (y * z) = (x * (z * y)) * K(y,z). (x * (y * z)) * K(z,y) = x * (z * y). R(x,y,K(z,T(u,y))) = R(x,y,K(z,u)). x != R(K(y,(z / (u / w)) \ y),u / w,w) | x = K(y,u / ((y \ z) * w)). R(K(x,(y / (z / u)) \ x),u \ z,u) = K(x,z / ((x \ y) * u)). R(K(x,(y / z) / u),z \ y,z) = K(x,y / (u * z)). K(x,L(y,x,z)) = K(x,y). K(x,y) * (z * (y * x)) != u | T(z * (x * y),K(x,y)) = u. K(L(x,y,z),y) = K(x,y). x != K(y,L(z,y,((z * y) * u) / (z * y))) | x = L(K(y,z),u,z * y). K(x,y) = L(K(x,y),z,y * x). L(K(x,y),z,y * x) = K(x,y). (x * (K(y,z) * K(z,u))) \ (x * T(z,u)) = T(z,L(y,z,w)). T(x,L(y,x,z)) = (u * (K(y,x) * K(x,w))) \ (u * T(x,w)). L(K(x,y),T(y,z) * u,w) = K(L(x,y,v5),L(y,u,w)). K((x * (y * z)) \ ((x * y) * u),L(z,y,x)) = K(L(z,y,x) \ u,L(z,y,x)). K(x,y) * ((y * x) * z) = (y * x) * (K(x,y) * z). x != K(y,y \ ((z \ 1) \ u)) | x = K(y,(y \ z) * u). K(x,y * (x \ z)) = K(x,(x \ y) * z). K(x,(x \ y) * z) = K(x,y * (x \ z)). x != K(y,z * (y \ u)) | x = K(y,y \ (z * u)). K(x,(x \ y) * z) = K(x,x \ (y * z)). K(x,x \ (y * z)) = K(x,(x \ y) * z). K(T(x,y),(y \ (x \ 1)) * z) = K(T(x,y),(y \ 1) * (T(x,y) \ z)). K(T(x,y),(y \ 1) * (T(x,y) \ z)) = K(T(x,y),(y \ (x \ 1)) * z). K(T(1 / x,y),((1 / (1 / y)) \ x) * z) = K(T(1 / x,y),(1 / y) * (T(1 / x,y) \ z)). K(T(1 / x,y),(1 / y) * (T(1 / x,y) \ z)) = K(T(1 / x,y),((1 / (1 / y)) \ x) * z). x != K(y,z * (u \ 1)) | x = K(y,z / u). K(x,x \ (y * (z \ 1))) = K(x,(x \ y) / z). 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),L(x,y,z) \ ((u * (x \ (1 / L(x,y,z)))) \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). x != L(K(y,z),T(z,u) * w,v5) | x = K(y,L(z,w,v5)). K(L(x,y,z),L(y,u,w)) = K(x,L(y,u,w)). x != K(L(y \ z,y,u),L(y,w,v5)) | x = K(u \ (y \ (u * z)),L(y,w,v5)). K(x \ y,L(x,z,u)) = K(w \ (x \ (w * y)),L(x,z,u)). K(x \ (y \ (x * z)),L(y,u,w)) = K(y \ z,L(y,u,w)). K((x * (y \ z)) / x,L(x,u,w)) = K(((y / x) \ z) / x,L(x,u,w)). K(((x / y) \ z) / y,L(y,u,w)) = K((y * (x \ z)) / y,L(y,u,w)). x != (y * (K(z,u) * K(u,w))) \ (y * T(u,w)) | x = T(u,z). T(x,L(y,x,z)) = T(x,y). x != T(y,L(y \ z,y,u)) | x = T(y,u \ (y \ (u * z))). T(x,x \ y) = T(x,z \ (x \ (z * y))). T(x,y \ (x \ (y * z))) = T(x,x \ z). L(x,y,z) * T(y,x) = y * L(x,y,z). T(L(x,y,z),(z * (y * x)) \ ((z * y) * u)) = T(L(x,y,z),L(x,y,z) \ u). (x * T(y,z)) \ (x * (T(y,z) * z)) = L(z,y,x). L(x,y,z) = (z * T(y,x)) \ (z * (T(y,x) * x)). ((x * T(y,x)) * L(x,y,z)) \ (x * (y * L(x,y,z))) = K(L(x,y,z),x * T(y,x)). L(x,y,z) = L(x,T(y,x),z). L(x,T(y,x),z) = L(x,y,z). L(x,x \ y,z) = L(x,y / x,z). L(x,y / x,z) = L(x,x \ y,z). x != L(y,(z \ u) / y,z) | x = (z * ((z \ u) / y)) \ u. L(x,x \ (y \ z),y) = (y * ((y \ z) / x)) \ z. K(L(x,x \ y,z),u) != w | L(K(x,u),y,z) = w. x != K(y,(z \ (u \ 1)) * w) | x = K(y,(u * z) \ w). K(T(x,y),(y \ 1) * (T(x,y) \ z)) = K(T(x,y),(x * y) \ z). K(T(x,y),(y \ 1) * (T(x,y) \ z)) = K(x,T((x * y) \ z,y)). x != K(y / z,L(z,u,w)) | x = K(z \ y,L(z,u,w)). K(((x / y) \ z) / y,L(y,u,w)) = K(y \ (y * (x \ z)),L(y,u,w)). K(((x / y) \ z) / y,L(y,u,w)) = K(x \ z,L(y,u,w)). K(x \ ((y / x) \ z),L(x,u,w)) = K(y \ z,L(x,u,w)). K(x \ ((x \ y) \ z),L(x,u,w)) = K(y \ z,L(x,u,w)). K(L(x,y,z),x \ ((u * (x \ w)) \ v5)) != v6 | K(L(x,y,z),(u * w) \ v5) = v6. K((x * y) \ (z \ ((x * y) * u)),L(z,y,x)) = K(L(z,y,x) \ u,L(z,y,x)). T(L(x,y,z),L(x,y,z) \ u) = L(T(x,(z * (y * x)) \ ((z * y) * u)),y,z). L(T(x,(y * (z * x)) \ ((y * z) * u)),z,y) = T(L(x,z,y),L(x,z,y) \ u). x != K(y \ (z \ (y * u)),L(z,w,v5)) | x = K(z \ u,L(z,w,v5)). K(L(x,y,z) \ u,L(x,y,z)) = K(x \ u,L(x,y,z)). L(T(x,(y * z) \ (x \ ((y * z) * u))),z,y) = T(L(x,z,y),L(x,z,y) \ u). L(T(x,x \ y),z,u) = T(L(x,z,u),L(x,z,u) \ y). T(L(x,y,z),L(x,y,z) \ u) = L(T(x,x \ u),y,z). x / L(T(y,y \ x),z,u) = L(y,z,u) \ x. (L(x,y,z) \ u) / (L(T(x,x \ w),y,z) \ u) = K(L(x,y,z),L(x,y,z) \ w). (x * y) / L(T(x,y),z,u) = L(x,z,u) \ (x * y). x != (L(y,z,u) \ w) / (L(T(y,v5),z,u) \ w) | x = K(L(y,z,u),v5). K(L(x,y,z),L(x,y,z) \ u) = K(L(x,y,z),x \ u). ((x * y) * L(y,x,z)) \ (y * (x * L(y,x,z))) = K(L(y,x,z),y * T(x,y)). K(x,y * L(x,y,z)) = K(L(x,y,z),x * T(y,x)). K(L(x,y,z),x * T(y,x)) = K(x,y * L(x,y,z)). K(L(x,y,z),y * x) = K(x,y * L(x,y,z)). K(x,x * y) = K(x,y * L(x,y,z)). K(x,y * L(x,y,z)) = K(x,x * y). L(K(x,x * y),z * x,u) = K(L(x,z,u),y * L(x,y,w)). K(L(x,y,z),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). K(x,(y * (x \ 1)) \ z) = K(x,x * (y \ z)). x != L(K(y,y * (z \ u)),z \ u,z) | x = K(y,z \ (u * y)). K(x,x * (y \ z)) = K(x,y \ (z * x)). K(x,y \ (z * x)) = K(x,x * (y \ z)). 1 / L(K(x,x * y),y,z) = K(x * y,x). K(x,y \ (x * z)) = K(x,x * (y \ z)). K(x,y \ x) = K(x,x * ((z * y) \ z)). K(x,x * ((y * z) \ y)) = K(x,z \ x). x != K(y,(z * u) \ (w * y)) | x = K(y,(z * (u / y)) \ w). K(x,x * ((y * z) \ u)) = K(x,(y * (z / x)) \ u). K(x,(y * (z / x)) \ u) = K(x,x * ((y * z) \ u)). K(x,y * (L(y,z,u) \ x)) = K(x,x * (L(y,z,u) \ y)). L(K(x,x * (y \ z)),u * x,w) = K(L(x,u,w),y \ (z * x)). L(K(x * y,x),y,z) = K(x * y,x). 1 / ((x * (y \ T(y * z,y))) \ (x * z)) = K(y * z,y). x != L(K(y * (z \ u),y),z \ u,z) | x = K(z \ (u * y),y). K(x * (y \ z),x) = K(y \ (z * x),x). K(x \ (y * z),z) = K(z * (x \ y),z). K((x * (y \ z)) \ u,y) = K(y * ((x * z) \ u),y). K((x / y) \ z,y) = K(y * (x \ z),y). K((x \ y) \ z,x) = K(x * (y \ z),x). K(x \ y,z) = K(z * ((x * z) \ y),z). K(x * ((y * x) \ z),x) = K(y \ z,x). K((x \ y) \ z,z) = K(z * (y \ x),z). x != K(y \ ((z \ u) * z),z) | x = K(y \ u,z). K(x * (y \ (x \ z)),x) = K(y \ z,x). L(x * K(x * (y \ z),x),u,w) / L(x,u,w) = K(y \ (z * x),L(x,u,w)). T(x,(y * (x \ 1)) \ z) = x * K(x,x * (y \ z)). L(x * K(x * ((y * z) \ u),x),w,v5) \ L(x,w,v5) = K(L(x,w,v5),(y * (x \ z)) \ u). T(x,(y * (x \ 1)) \ z) = T(x,x * (y \ z)). x != T(y,(z * (y \ 1)) \ u) | x = T(y,z \ (y * u)). T(x,x * (y \ z)) = T(x,y \ (x * z)). T(x,y \ (x * z)) = T(x,x * (y \ z)). x != T(y,z \ (y * u)) | x = T(y,z \ (u * y)). T(x,x * (y \ z)) = T(x,y \ (z * x)). T(x,y \ (z * x)) = T(x,x * (y \ z)). T(x,x * (y \ z)) * K(y \ z,x) = L(x,(z \ y) \ 1,x). 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)). L(x,y \ z,x) = L(x,(z \ y) \ 1,x). L(x,(y \ z) \ 1,x) = L(x,z \ y,x). x != L(y,(z \ u) \ 1,y) | x = L(y,(u / z) \ 1,y). L(x,y \ z,x) = L(x,(y / z) \ 1,x). L(x,(y / z) \ 1,x) = L(x,y \ z,x). L(x,y * (y \ ((z / u) \ 1)),x) = L(x,z \ u,x). 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(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)). x != K(L(y,z,u) \ w,L(y,z,u)) | x = K(y \ w,L(y,z,u)). K((x \ y) \ z,L(x,u,w)) = K(x \ ((x \ (L(x,u,w) \ y)) \ z),L(x,u,w)). K(x \ ((x \ (L(x,y,z) \ u)) \ w),L(x,y,z)) = K((x \ u) \ w,L(x,y,z)). x != K(y \ ((y \ z) \ u),L(y,w,v5)) | x = K(z \ u,L(y,w,v5)). K((x \ y) \ z,L(x,u,w)) = K((L(x,u,w) \ y) \ z,L(x,u,w)). K((L(x,y,z) \ u) \ w,L(x,y,z)) = K((x \ u) \ w,L(x,y,z)). x != K((y \ z) \ u,y) | x = K(y * (z \ u),y). K((x \ y) \ z,L(x,u,w)) = K(L(x,u,w) * (y \ z),L(x,u,w)). K(L(x,y,z) * (u \ w),L(x,y,z)) = K((x \ u) \ w,L(x,y,z)). x != K((y \ z) \ u,L(y,w,v5)) | x = K(z \ (y * u),L(y,w,v5)). K(L(x,y,z) * (u \ w),L(x,y,z)) = K(u \ (x * w),L(x,y,z)). K((x \ y) * L(z,u,w),L(z,u,w)) = K(x \ (z * y),L(z,u,w)). K((1 / x) \ y,L(x,z,u)) = K(x \ ((x \ (1 / L(x,z,u))) \ y),L(x,z,u)). K(x \ ((x \ (1 / L(x,y,z))) \ u),L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). K((1 / x) \ y,L(x,z,u)) = K((1 / L(x,z,u)) \ y,L(x,z,u)). K((1 / L(x,y,z)) \ u,L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). x != K((1 / y) \ z,u) | x = K(y * z,u). K((1 / x) \ y,L(x,z,u)) = K(L(x,z,u) * y,L(x,z,u)). K(L(x,y,z) * u,L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). K(x * L(y,z,u),L(y,z,u)) = K((1 / y) \ x,L(y,z,u)). x != K((y / z) \ u,L(z,w,v5)) | x = K(y \ (u * z),L(z,w,v5)). K(x * L(y,z,u),L(y,z,u)) = K(1 \ (x * y),L(y,z,u)). K(x * L(y,z,u),L(y,z,u)) = K(x * y,L(y,z,u)). x != K((y \ z) * L(u,w,v5),L(u,w,v5)) | x = K(y \ (u * z),L(u,w,v5)). K((x \ y) * z,L(z,u,w)) = K(x \ (z * y),L(z,u,w)). K(x \ (y * z),L(y,u,w)) = K((x \ z) * y,L(y,u,w)). x != K(y \ (z * u),L(z,w,v5)) | x = K((z \ y) \ u,L(z,w,v5)). K((x \ y) * z,L(z,u,w)) = K((z \ x) \ y,L(z,u,w)). K((x \ y) \ z,L(x,u,w)) = K((y \ z) * x,L(x,u,w)). x != K(y \ (z * u),L(z,w,v5)) | x = K(y \ (u * z),L(z,w,v5)). K((x \ y) * z,L(z,u,w)) = K(x \ (y * z),L(z,u,w)). K(x \ (y * z),L(z,u,w)) = K((x \ y) * z,L(z,u,w)). x != K((y \ z) \ (u * w),L(u,w,y)) | x = K(z \ (y * (u * w)),u). K(((x \ y) \ z) * u,L(u,z,x)) = K(y \ (x * (u * z)),u). x != K(y \ (z * u),L(u,w,v5)) | x = K((y / u) \ z,L(u,w,v5)). K((x \ y) * z,L(z,u,w)) = K((x / z) \ y,L(z,u,w)). K((x / y) \ z,L(y,u,w)) = K((x \ z) * y,L(y,u,w)). 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)). ((K(R(x,y,x),z) / R(x,y,x)) * x) \ x = R(x,y,x) * K(z,R(x,y,x)). x != R(y,z,u) * K(w,R(y,z,u)) | x = R(y * K(w,y),z,u). ((K(R(x,y,x),z) / R(x,y,x)) * x) \ x = R(x * K(z,x),y,x). ((K(x,y) / R(x,z,x)) * x) \ x = R(x * K(y,x),z,x). (R(x,y,x) \ T(x,z)) \ x = R(x * K(z,x),y,x). (x \ L(T(x,y),z,x)) \ x = R(x * K(y,x),z,x). x != K(y,((z / (1 / u)) \ w) * v5) | x = K(y,(((z \ 1) \ u) \ w) * v5). K(T(1 / x,y),(1 / y) * (T(1 / x,y) \ z)) = K(T(1 / x,y),(((1 \ 1) \ y) \ x) * z). K(T(1 / x,y),(1 / y) * (T(1 / x,y) \ z)) = K(T(1 / x,y),(y \ x) * z). K(T(1 / x,y),(1 / y) * (T(1 / x,y) \ z)) = K(1 / x,T((y \ x) * z,y)). x != K(1 / y,z) | x = K(y \ 1,z). K(T(1 / x,y),(1 / y) * (T(1 / x,y) \ z)) = K(x \ 1,T((y \ x) * z,y)). (x * (K(y,y \ 1) * (z * u))) \ ((K(y,y \ 1) * (x * z)) * u) = a(x,K(y,y \ 1) * z,u). ((x * (K(y,y \ 1) * (z * u))) \ ((x * z) * u)) * K(y,y \ 1) = a(x,z,K(y,y \ 1) * u). K(x,(y * z) / (y * (u \ z))) * (y * ((u \ z) * T(T(u,u \ z),x))) = y * z. K(x,(y * z) / (y * (u \ z))) * (y * (T(u,x) * (u \ z))) = y * z. K(x,(y * z) / (y * (u \ z))) * (y * (K(u,x) * z)) = y * z. (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. R(K(x,y),z * u,w) = R(K(x,y),z * (K(v5,y) * u),w). R(K(x,y),z * (K(u,y) * w),v5) = R(K(x,y),z * w,v5). K(x,y / ((z * u) * w)) = K(x,y / ((z * (K(v5,x) * u)) * w)). K(x,y / ((z * (K(u,x) * w)) * v5)) = K(x,y / ((z * w) * v5)). 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) * (R(T(y,z),u,w) * (K(T(y,z),T(x,z)) * v5)) = R(T(y,z),u,w) * v5. x != R(K(y,z),u * (K(w,z) * y),v5) | x = K(R(y,K(w,z) * u,v5),z). R(K(x,y),z * x,u) = K(R(x,K(w,y) * z,u),y). x != R(K(y,z),u * y,w) | x = K(R(y,u,w),z). K(R(x,K(y,z) * u,w),z) = K(R(x,u,w),z). R(K(x,y),z * x,u) != w | K(R(x,z,u),y) = w. T(x,R(y,K(z,x) * u,w)) = 1 / (x \ K(R(y,u,w),x)). K(x,R(y,x,z)) != u | K(R(x,y,z),y) = u. R(K(x,y),z * (u * K(w,x)),v5) = R(K(x,y),z * u,v5). T(x,R(y,K(z,x) * u,w)) != v5 | T(x,R(y,u,w)) = v5. 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)). K(x,R(y,z,u)) = K(x,R(y * K(x,w),z,u)). K(x,R(y * K(x,z),u,w)) = K(x,R(y,u,w)). K(x,R(y * K(z,x),u,w)) = K(x,R(K(z,x) * y,u,w)). K(x,R(K(y,x) * z,u,w)) = K(x,R(z * K(y,x),u,w)). x != K(y,R(z * K(u,y),w,v5)) | x = K(y,R(z,K(u,y) * w,v5)). K(x,R(K(y,x) * z,u,w)) = K(x,R(z,K(y,x) * u,w)). T(x,R(K(y,x) * z,u,w)) = x * K(x,R(z,K(y,x) * u,w)). x * K(x,R(y,K(z,x) * u,w)) = T(x,R(K(z,x) * y,u,w)). x != (y * z) / (y * (K(u,w) * z)) | x = K((y * z) / (y * (w \ z)),u). K(x,(y * z) / (y * (u \ z))) = K((y * z) / (y * (x \ z)),u). K((x * y) / (x * (z \ y)),u) = K(z,(x * y) / (x * (u \ y))). T(x,R(y,K(z,x) * u,w)) = T(x,R(K(z,x) * y,u,w)). T(x,R(K(y,x) * z,u,w)) = T(x,R(z,K(y,x) * u,w)). T(x,R(T(x,y) \ z,u,w)) = T(x,R(x \ z,K(y,x) * u,w)). T(x,R(x \ y,K(z,x) * u,w)) = T(x,R(T(x,z) \ y,u,w)). 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). T(x,R(x \ y,z,u)) = T(x,R(T(x,w) \ y,z,u)). T(x,R(T(x,y) \ z,u,w)) = T(x,R(x \ z,u,w)). T(x,R(y / T(x,z),u,w)) = T(x,R(x \ y,u,w)). K(x,((y * x) * z) / ((y * x) * (y \ z))) != u | L(K(x,y),z,y * x) = u. K(x,y) * (R(T(y,z),u,w) * (K(y,x) * v5)) = R(T(y,z),u,w) * v5. (x \ T(x * y,x)) \ (y * K(x,K(z,x * y))) = L(T(K(x * y,x),z) \ 1,K(x * y,x),y). L(K(x * y,x) * K(x,K(z * y,x * y)),y,z) = (z * (T(x * y,x) / T(x,y))) / (z * y). L(K(x,(y \ 1) \ (z \ u)),z \ u,z) = K(x,(z * ((((y \ x) / x) * y) * (1 / y))) \ u). K(x,(y * (z \ 1)) \ u) = K(x,(y * ((((z \ x) / x) * z) * (1 / z))) \ u). K(x,(y * ((((z \ x) / x) * z) * (1 / z))) \ u) = K(x,(y * (z \ 1)) \ u). K(x,(y * ((z \ x) / x)) \ u) = K(x,(y * (z \ 1)) \ u). x != K(y,(z * (u / y)) \ w) | x = K(y,(z * u) \ (w * y)). K(x,(y * (z \ 1)) \ u) = K(x,(y * (z \ x)) \ (u * x)). K(x,(y * (z \ x)) \ (u * x)) = K(x,(y * (z \ 1)) \ u). x != K(y,(z * ((u \ y) \ y)) \ w) | x = K(y,(z * u) \ w). K(x,(y * ((z \ x) \ 1)) \ u) = K(x,(y * z) \ (u * x)). K(x,(((y \ x) \ 1) * (1 / (1 / z))) \ u) = K(x,((1 / (K(z,(y \ x) \ 1) / z)) * y) \ (u * x)). K(x,((1 / (K(y,(z \ x) \ 1) / y)) * z) \ (u * x)) = K(x,(((z \ x) \ 1) * (1 / (1 / y))) \ u). L(K(x,y),z,u) * L(L(K(y,x),z,u),w,v5) = a(v5,w,K(L(x \ 1,z,u) \ 1,y)). L(K(x,y),z,u) * L(L(K(y,x),z,u),w,v5) = a(v5,w,L(K(x,y),z,u)). L(a((x \ y) \ y,z,(x \ y) \ y),u,(x \ y) \ y) = y \ (R(x,z,x) * (x \ y)). L(a((x \ y) \ y,z,(x \ y) \ y),u,(x \ y) \ y) = y \ (y * a(x,z,x)). L(a((x \ y) \ y,z,(x \ y) \ y),u,(x \ y) \ y) = a(x,z,x). a(x,y,x) = a((x \ z) \ z,y,(x \ z) \ z). a((x \ y) \ y,z,(x \ y) \ y) = a(x,z,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). (x * (K(y,y \ 1) * (z * u))) \ (K(y,y \ 1) * ((x * z) * u)) = a(x,K(y,y \ 1) * z,u). (((x * (y * z)) \ ((x * y) * z)) * K(u \ 1,u)) * K(u,u \ 1) = a(x,y,K(u,u \ 1) * z). (x \ T(x * y,x)) \ (y * K(x,K(z,x * y))) = L(K(x * y,T(x,z)) \ 1,K(x * y,x),y). 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). K((x * y) / (x * (z \ 1)),z) = L(K(z * y,T(z,x)),y,x). L(K(x * y,T(x,z)),y,z) = K((z * y) / (z * (x \ 1)),x). K(x,T(y,z)) * (K(y * R(x,u,w),T(x,z)) * v5) = R(T(x,z),y,R(x,u,w)) * (T(x,z) \ v5). ((x * (K(y,y \ 1) * (z * u))) \ ((x * z) * u)) * K(y,y \ 1) = a(x,K(y,y \ 1) * z,u). (a(x,y,z) * K(u \ 1,u)) * K(u,u \ 1) = a(x,y,K(u,u \ 1) * z). a(x,y,K(z,z \ 1) * u) = a(x,y,u). x != a(y,z,K(u,u \ 1) * w) | x = ((y * (z * (K(u,u \ 1) * w))) \ ((y * z) * w)) * K(u,u \ 1). a(x,y,z) = ((x * (y * (K(u,u \ 1) * z))) \ ((x * y) * z)) * K(u,u \ 1). ((x * (y * (K(z,z \ 1) * u))) \ ((x * y) * u)) * K(z,z \ 1) = a(x,y,u). a(x,y,1 / z) = a(x,y,z \ 1). a(x,y,z) = a(x,y,z * K(u \ 1,u)). a(x,y,z * K(u \ 1,u)) = a(x,y,z). a(x,y,z * (u * (1 / w))) = a(x,y,z * (u * (w \ 1))). a(x,y,K(z,u)) = a(x,y,K(u,z) \ 1). a(x,y,K(z,u) \ 1) = a(x,y,K(u,z)). x != y | x = L(y,z,K(u \ 1,u)). a(x,y,z * K(u \ 1,u)) = L(a(x,y,z),w,K(v5 \ 1,v5)). L(a(x,y,z),u,K(w \ 1,w)) = a(x,y,z * K(v5 \ 1,v5)). a(x,y,z * K(u \ w,w \ u)) = a(x,y,z). a(x,y,K(z,K(u,w))) = a(x,y,K(K(w,z),u)). a(x,y,K(K(z,u),w)) = a(x,y,K(u,K(w,z))). a(x,y,z * K(u \ 1,u)) != w | w = a(x,y,z). a(x,y,z * K(u \ 1,u)) != w | a(x,y,z) = w. a(x,y,z * K(u \ w,w \ u)) != v5 | a(x,y,z) = v5. a(x,y,z \ K(u \ w,w \ u)) != v5 | a(x,y,z \ 1) = v5. a(x,y,K(z \ u,u \ z) / w) != v5 | a(x,y,w \ 1) = v5. ((x * (y * (z * K(u,u \ 1)))) \ ((x * y) * z)) * K(u,u \ 1) = a(x,y,z). (x \ T(x * y,x)) \ (y * K(x,K(z,x * y))) = L(K(x,T(x * y,z)),K(x * y,x),y). x != L(K(y,T(z,u)),K(z,w),v5) | x = K(y,T(z,u)). (x \ T(x * y,x)) \ (y * K(x,K(z,x * y))) = K(x,T(x * y,z)). K(x,T(y / z,y) \ y) \ (K(x,z) * K(y,K(u,y * K(x,z)))) = K(y,T(y * K(x,z),u)). K(x,T(y / z,y) \ y) \ (K(x,z) * 1) = K(y,T(y * K(x,z),x)). K(x,T(y / z,y) \ y) \ K(x,z) = K(y,T(y * K(x,z),x)). K(T(x / y,x) \ x,z) * K(z,y) = K(x,T(x * K(z,y),z)). K(x,T(y / z,y) \ y) * K(z,x) = K(y,T(y * K(z,x),z)). x != K(y,T(y * K(z,u),z)) | x = K(y,y * K(z,u)). K(x,T(y / z,y) \ y) * K(z,x) = K(y,y * K(z,x)). x != K(y,T(z / u,z) \ z) * K(u,y) | x = K(z * K(y,u),z). K(x,x * K(y,z)) = K(x * K(z,y),x). K(x * K(y,z),x) = K(x,x * K(z,y)). T(T(x * K(x,x * K(y,z)),u),K(z,y)) = R(T(x,u),K(z,y),x). T(T(T(x,x * K(y,z)),u),K(z,y)) = R(T(x,u),K(z,y),x). R(T(x,K(y,z)),K(z,y),x) = T(x,x * K(y,z)). T(x,x * K(y,z)) \ T(K(z,y) * x,x) = K(z,T(y,x)). T(x,x * K((y * z) \ (u * w),w)) \ T(K(w,(y * (w \ z)) \ u) * x,x) = K(w,T((y * (w \ z)) \ u,x)). (((x * (y * z)) \ ((x * y) * z)) * K(u \ 1,u)) * K(u,u \ 1) = a(x,K(u,u \ 1) * y,z). (a(x,y,z) * K(u \ 1,u)) * K(u,u \ 1) = a(x,K(u,u \ 1) * y,z). a(x,K(y,y \ 1) * z,u) = a(x,z,u). a(x,1 / y,z) = a(x,y \ 1,z). a(x,y,z) = a(x,y * K(u \ 1,u),z). a(x,y * K(z \ 1,z),u) = a(x,y,u). a(x,(1 / y) * z,u) = a(x,(z \ y) \ 1,u). a(x,(y \ z) \ 1,u) = a(x,(1 / z) * y,u). a(x,1 / (y * K(z \ 1,z)),u) = a(x,K(z,z \ 1) * (y \ 1),u). x != y | x = K(z,u) * (K(u,z) * y). a(x,y * K(z \ 1,z),u) = K(w,v5) * (K(v5,w) * a(x,y,u)). a(x,y * K(z \ 1,z),u) != w | w = a(x,y,u). a(x,y * K(z \ 1,z),u) != w | a(x,y,u) = w. a(x,y * K(z,z \ 1),u) != w | a(x,y,u) = w. a(x,K(y,y \ 1) / z,u) = a(x,K(y,y \ 1) * (z \ 1),u). a(x,K(y,y \ 1) * (z \ 1),u) = a(x,K(y,y \ 1) / z,u). a(x,K(y,y \ 1) * (z \ 1),u) = a(x,y * (1 / (z * y)),u). a(x,(y * K(z \ 1,z)) \ 1,u) = a(x,z * (1 / (y * z)),u). x != (y * (K(z,u) * w)) \ (y * w) | x = L(K(u,T(z,w)),w,y). K(x,((y / z) * L(z,u,w)) \ (y * L(z,u,w))) = L(K(x,T(z,L(z,u,w))),L(z,u,w),y). K(x,((y / z) * L(z,u,w)) \ (y * L(z,u,w))) = L(K(x,z),L(z,u,w),y). K(x,y) = L(K(x,y),L(y,z,u),w). L(K(x,y),L(y,z,u),w) = K(x,y). K((x \ y) \ L(z,u,w),z) = K(y \ (x * L(z,u,w)),z). R(T(K(x,y),R(K(y,x),z,u) * w),z,u) \ w = w / (R(K(y,x),z,u) \ 1). R(T(K(x,y),R(K(y,x),z,u) * w),z,u) \ w = w / R(K(x,y),z,u). R(T(K(x,y),z),u,w) \ z = z / R(K(x,y),u,w). x / (x / R(K(y,z),u,w)) = R(T(K(y,z),x),u,w). x != y / (y / R(K(z,u),w,v5)) | x = (R(K(z,u),w,v5) \ y) \ y. R(T(K(x,y),z),u,w) = (R(K(x,y),u,w) \ z) \ z. (R(K(x,y),z,u) \ w) \ w = R(T(K(x,y),w),z,u). ((K(x,y) * z) * u) \ (z * u) = R(T(K(y,x),z * u),z,u). ((K(x,y) * z) * u) \ (z * u) = R(K(y,T(x,z * u)),z,u). ((K(x,T(y,z)) * L(x,u,w)) * z) \ (L(x,u,w) * z) = R(K(y,L(x,z,L(x,u,w))),L(x,u,w),z). (T(x,y) * (z * R(x,u,w))) \ ((T(x,y) * z) * R(x,u,w)) = a(x,K(x,y) * z,R(x,u,w)). a(T(x,y),z,R(x,u,w)) = a(x,K(x,y) * z,R(x,u,w)). a(x,K(x,y) * z,R(x,u,w)) = a(T(x,y),z,R(x,u,w)). a(x,K(x,y) * z,R(x,u,w)) != v5 | a(T(x,y),z,R(x,u,w)) = v5. a(x,x \ y,R(x,z,u)) = a(T(x,w),T(x,w) \ y,R(x,z,u)). a(T(x,y),T(x,y) \ z,R(x,u,w)) = a(x,x \ z,R(x,u,w)). ((K(x,y) * z) * ((K(y,x) \ 1) \ 1)) * K(u,y) = ((1 / (1 / K(y,x))) \ z) * (K(y,x) * K(u,y)). (K(x,T(y,z)) * K(y,T(u,z))) \ 1 = (K(y,u) * K(x,y)) \ K(K(y,u) * K(x,y),z * K(u,y)). ((x / y) * (y * K(z,x))) \ ((z * x) / z) = x \ (((x / y) * (y * K(x,z))) * K(z,x)). x != y \ (z * K(u,y)) | x = T(z / T(y,u),y). ((x / y) * (y * K(z,x))) \ ((z * x) / z) = T(((x / y) * (y * K(x,z))) / T(x,z),x). T(((x / y) * (y * K(x,z))) / T(x,z),x) = ((x / y) * (y * K(z,x))) \ ((z * x) / z). K(x / y,T(z,u)) \ T(K(y \ x,z),u) = K(K(x / y,z) \ x,T(K(x / y,z),u)). K(K(x / y,z) \ x,T(K(x / y,z),u)) = K(x / y,T(z,u)) \ T(K(y \ x,z),u). K(K(x / y,z) \ x,T(K(x / y,z),u)) = K(x / y,T(z,u)) \ K(y \ x,T(z,u)). x != K(y,T(z,u)) \ w | x = K(z,T(y,u)) * w. K(K(x / y,z) \ x,T(K(x / y,z),u)) = K(z,T(x / y,u)) * K(y \ x,T(z,u)). x != K(K(y,z) \ u,T(K(y,w),v5)) | x = K(y,K(u,T(w,v5))). K(x,T(y / z,u)) * K(z \ y,T(x,u)) = K(y / z,K(y,T(x,u))). K(x,T(y / z,u)) * K(z \ y,T(x,u)) != w | K(y,K(z,T(x,u))) = w. R(K(x,y) * R(K(x,y) \ 1,z,u),K(y,w),v5) = K(x,y) * R(K(x,y) \ 1,z,u). R(K(x,y) * R(K(x,y) \ 1,z,u),K(y,w),v5) = K(x,y) * R(K(y,x),z,u). R(K(x,y) * R(K(y,x),z,u),K(y,w),v5) = K(x,y) * R(K(y,x),z,u). x != R(K(y,z) * R(K(z,y),u,w),K(z,y),u * w) | x = ((K(z,y) * u) * w) / (K(z,y) * (u * w)). K(x,y) * R(K(y,x),z,u) = ((K(y,x) * z) * u) / (K(y,x) * (z * u)). ((K(x,y) * z) * u) / (K(x,y) * (z * u)) = K(y,x) * R(K(x,y),z,u). ((K(x,y) * R(K(y,x),z,u)) * K(y,w)) \ (((K(x,y) * R(K(y,x),z,u)) * K(y,w)) * v5) = L(v5,K(y,w),R(K(x,y) * R(K(y,x),z,u),K(y,w),v5)). L(x,K(y,z),R(K(u,y) * R(K(y,u),w,v5),K(y,z),x)) = ((K(u,y) * R(K(y,u),w,v5)) * K(y,z)) \ (((K(u,y) * R(K(y,u),w,v5)) * K(y,z)) * x). R(K(x,y) * R(K(y,x),z,u),K(y,w),v5) * v6 = K(x,y) * (R(K(y,x),z,u) * v6). R(K(x,K(y,z)) * R(K(y,K(z,x)),u,w),K(K(y,z),v5),v6) * v7 = K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * v7). (x * (y * ((x \ (z / u)) / y))) * ((z / u) \ z) = (x * u) * (y * (((x * u) \ z) / y)). (x * (y * ((x \ (z / u)) / y))) * u = (x * u) * (y * (((x * u) \ z) / y)). ((x * y) * (z * (((x * y) \ u) / z))) / u = K(z,u / ((x * z) * y)). K(x,y / ((z * u) * x)) = K(x,y / ((z * x) * u)). K(x,y / (x * (z * u))) = K(x,y / ((z * x) * u)). K(x,y / ((z * x) * u)) = K(x,y / (x * (z * u))). K(T(x,y * z),u / (x * (y * z))) = K(T(x,y * z),u / ((y * T(x,y * z)) * z)). K(T(x,y * z),u / ((y * T(x,y * z)) * z)) = K(T(x,y * z),u / (x * (y * z))). L(K(x,y),z,y * x) = K(x,((y * x) * z) / (x * (y * (y \ z)))). K(x,((y * x) * z) / (x * (y * (y \ z)))) = L(K(x,y),z,y * x). x != K(y,z / ((u * y) * w)) | x = K(y,z / ((y * u) * w)). K(x,y / (x * (z * u))) = K(x,y / ((x * z) * u)). K(x,y / ((x * z) * u)) = K(x,y / (x * (z * u))). T(x,y / ((x * z) * u)) = x * K(x,y / (x * (z * u))). x * K(x,y / (x * (z * u))) = T(x,y / ((x * z) * u)). K(x,((y * x) * z) / (x * z)) = L(K(x,y),z,y * x). L(K(x,y),z,y * x) = K(x,((y * x) * z) / (x * z)). L(K(x,y),z,y * x) = K(x,R(y,x,z)). R(K(x,y),z,T(y * x,z)) = K(x,R(y,x,z)). x != L(K(y,z),u,z * y) | x = K(y,z). K(x,R(y,x,z)) = K(x,y). K(R(x,y,z),y) = K(x,y). R(K(x \ y,x),y,z) = K(x \ y,x). x != K(y,R(T(z,u),y,u)) | x = ((z * y) * u) \ ((y * z) * u). K(x,T(y,z)) = ((y * x) * z) \ ((x * y) * z). ((x * y) * z) \ ((y * x) * z) = K(y,T(x,z)). x != K(y,R(y \ (z / u),y,z / (z / u))) | x = K(y,z / (u * y)). K(x,x \ (y / z)) = K(x,y / (z * x)). K(x,y / (z * x)) = K(x,x \ (y / z)). K(x,R(R(y,x,z),u,w)) = K(x,R(y,u,w)). x != K(y,z) | x = K(R(y,z,u),z). K(R(x,y,z),y) = K(R(x,y,u),y). x * K(R(x,y,z),y) = T(x,R(y,x,u)). T(x,R(y,x,z)) = x * K(R(x,y,u),y). K(x / (y * z),y) = K(y \ (x / z),y). K(x,y / (x * z)) = K(x,x \ (y / z)). x != K(y,z / (u * y)) | x = K(y,(y \ z) / u). K(x,x \ (y / z)) = K(x,(x \ y) / z). K(x,(x \ y) / z) = K(x,x \ (y / z)). x != K(y,z / ((u * w) * y)) | x = K(y,z / ((u * y) * w)). K(x,x \ (y / (z * u))) = K(x,y / ((z * x) * u)). K(x,y / ((z * x) * u)) = K(x,x \ (y / (z * u))). K(1 / x,y / (z \ (1 / x))) = K(1 / x,(1 / x) \ (y / ((x * z) \ x))). K(1 / x,(1 / x) \ (y / ((x * z) \ x))) = K(1 / x,y / (z \ (1 / x))). x != y * K(R(y,z,y),u) | x = T(y,u). T(x,R(y,x,z)) = T(x,y). T(R(x,y,z),(u * (y * z)) / ((x * y) * z)) = T(R(x,y,z),u / R(x,y,z)). x != K(y / (z * u),z) | x = K((z \ y) / u,z). K(x \ (y / z),x) = K((x \ y) / z,x). K((x \ y) / z,x) = K(x \ (y / z),x). K(x,T((x * y) \ z,y)) = K(x,x \ (z / y)). x * K(x,x \ (y / (z * u))) = T(x,y / ((x * z) * u)). x != K(y,(y \ z) / u) | x = K(y,y \ (z * (u \ 1))). K(x,x \ (y / z)) = K(x,x \ (y * (z \ 1))). K(x,x \ (y * (z \ 1))) = K(x,x \ (y / z)). K(x,y / z) = K(x,x \ ((x * y) / z)). K(x,x \ ((x * y) / z)) = K(x,y / z). K(x \ (y / z),x) * z = z * K(z \ (x \ y),x). R(K(x,R(y,x,z)),(y * x) * z,u) = K(x,R(y,x * z,u)). K(x,R(y,x,z)) * ((y * x) * z) = (K(x,y) * z) * T(y * x,z). x != K(y,T((y * z) \ u,z)) | x = K(T(y,z),(z \ 1) * (T(y,z) \ u)). K(x,x \ (y / z)) = K(T(x,z),(z \ 1) * (T(x,z) \ y)). K(T(x,y),(y \ 1) * (T(x,y) \ z)) = K(x,x \ (z / y)). x != K(y,z / (((y \ u) * y) * w)) | x = K(y,z / (u * w)). K(x,x \ (y / ((x \ z) * u))) = K(x,y / (z * u)). K(x \ (y / z),T(x,z)) = K(z \ (x \ y),x). x != K(y \ (z / u),T(y,u)) | x = K(y \ (z / u),T(y,z)). K(x \ (y \ z),y) = K(y \ (z / x),T(y,z)). K(x \ (y / z),T(x,y)) = K(z \ (x \ y),x). (x * K(y \ (z \ u),z)) \ x = K(T(z,u),z \ (u / y)). K(T(x,y),x \ (y / z)) = (u * K(z \ (x \ y),x)) \ u. x != K(y,y \ ((y * z) / u)) | x = K(y,z / u). K(x,(x * y) / (z * u)) = K(x,y / ((x \ z) * u)). K(x,y / ((x \ z) * u)) != w | K(x,((z * u) / y) \ x) = w. T(x,x \ (y / (z * u))) = T(x,y / ((x * z) * u)). T(x,y / ((x * z) * u)) = T(x,x \ (y / (z * u))). K(T(x,y),y \ (T(x,y) \ z)) = K(x,x \ (z / y)). K(T(x,y),x \ (y / z)) = K(x,z \ (x \ y)). K(x,T(x \ (y / z),y)) = K(x,z \ (x \ y)). K(x,T(x \ y,z)) = K(x,(y \ z) \ (x \ z)). K(x,(y \ z) \ (x \ z)) = K(x,T(x \ y,z)). x != K(y,(z \ ((1 / u) \ z)) \ (y \ ((1 / u) \ z))) | x = K(y,L(y \ T(z,u),y,z \ ((1 / u) \ z))). K(x,T(x \ y,(1 / z) \ y)) = K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))). K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,(1 / z) \ y)). R(K(x,y),(y * x) * z,u) = K(x,R(y,x * z,u)). x != K(y,R(z,u,w)) * ((z * u) * w) | x = (z * (K(y,z) * u)) * w. (K(x,y) * z) * T(y * x,z) = (y * (K(x,y) * x)) * z. (K(x,y) * z) * T(y * x,z) = (x * y) * z. x != (K(y,z) * u) * T(z * y,u) | x = (z * y) * (K(y,z) * u). (x * y) * z = (y * x) * (K(x,y) * z). (x * y) * (K(y,x) * z) = (y * x) * z. L(x,K(y,z),z * y) = x. x != (y * z) * (K(z,y) * u) | x = K(z,y) * ((y * z) * u). (x * y) * z = K(x,y) * ((y * x) * z). K(x,y) * ((y * x) * z) = (x * y) * z. x * y != (z * u) * (K(u,z) * w) | x \ ((u * z) * w) = y. K(x,y) \ ((x * y) * z) = (y * x) * z. L(x,y * z,K(z,y)) = x. K(x,y * z) \ ((x * y) * z) = ((y * z) * x) * a(x,y,z). K(x,y) * (z * (y * x)) = (x * y) * T(z,y * x). (K(x,y) * (y * (x * z))) \ ((x * y) * z) = L(a(y,x,z),y * (x * z),K(x,y)). L(x,T(y,z),z) = L(x,y,z). x != y | x = L(y,K(z,u),u * z). L(x,y * z,K(z,y)) = L(x,K(u,w),w * u). L(x,K(y,z),z * y) = L(x,u * w,K(w,u)). x != L(L(y,z,u),u * z,K(z,u)) | x = (z * u) \ (u * (T(z,u) * y)). L(x,y,z) = (y * z) \ (z * (T(y,z) * x)). L(x,T(y,z) * z,K(z,y)) = x. L(x,y \ z,y) = L(x,z / y,y). L(x,y / z,z) = L(x,z \ y,z). L(x,y,z) = L(x,y,T(z,y)). L(x,y,T(z,y)) = L(x,y,z). L(x,y,T(z,y)) != u | L(x,y,z) = u. L(x,y / z,z) != u | L(x,z \ y,z) = u. (x * (T(y,x) * z)) / L(z,y,x) = y * x. L(x,y / T(z,z \ u),(z \ u) \ u) != w | L(x,((z \ u) \ u) \ y,(z \ u) \ u) = w. K(x,y) * ((y * x) * T(z,x * y)) = L(z,K(u,w),w * u) * (x * y). L(x,K(y,z),z * y) * (u * w) = K(u,w) * ((w * u) * T(x,u * w)). T(x * (y * z),K(y,z)) = (y * z) * T(x,z * y). T(x * (y * z),K(z,y)) = (y * z) * T(x,z * y). x != K(y,z * u) \ ((y * z) * u) | x = R(y,z,u) * T(z * u,y). ((x * y) * z) * a(z,x,y) = R(z,x,y) * T(x * y,z). L(x,K(y,z),z * y) * (u * w) = K(u,w) * T(x * (w * u),K(u,w)). L(x,K(y,z),z * y) * (u * w) = (x * (w * u)) * K(u,w). L(x,y * z,K(z,y)) * (u * w) = (x * (w * u)) * K(u,w). ((x * (y * z)) * K(z,y)) / (z * y) = L(x,u * w,K(w,u)). L(x,y * z,K(z,y)) = ((x * (u * w)) * K(w,u)) / (w * u). T(R(x,y,z),u / R(x,y,z)) = R(T(x,(u * (y * z)) / ((x * y) * z)),y,z). R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = T(R(x,z,u),y / R(x,z,u)). K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,(z \ 1) \ y)). x != T(y,z / y) | x = T(y,y \ z). R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = T(R(x,z,u),R(x,z,u) \ y). x != K(y,T(y \ z,u \ z)) | x = K(y,T(y \ z,u)). K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,z \ 1)). x != K(y,T(z,u \ 1)) | x = K(y,T(z,u)). K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,z)). x != K(y,L(z,y,u)) | x = K(y,z). K(x,T(x \ y,z)) = K(x,x \ T(y,z)). K(x,x \ T(y,z)) = K(x,T(x \ y,z)). x != K(y,y \ T(z,u)) | x = K(K(z,u) * y,y \ z). K(x,T(x \ y,z)) = K(K(y,z) * x,x \ y). K(K(x,y) * z,z \ x) = K(z,T(z \ x,y)). K(x,x \ T(x * y,z)) = K(x,T(y,z)). K(x,T(y,z)) \ T(x * y,z) = (x \ T(x * y,z)) * x. T(K(x,y) * z,z \ x) = K(z,T(z \ x,y)) * (K(x,y) * z). K(x,T(x \ y,z)) * (K(y,z) * x) = T(K(y,z) * x,x \ y). x != (y \ T(y * z,u)) * y | x = T(z * y,u). K(x,T(y,z)) \ T(x * y,z) = T(y * x,z). K(x,T(y * x,z)) != u | K(x,T(x * y,z)) = u. x != K(y,T(y \ z,u)) * (K(z,u) * y) | x = T(y,y \ z) * K(z,u). T(K(x,y) * z,z \ x) = T(z,z \ x) * K(x,y). (x \ y) * T(K(y,z) * x,x \ y) = (y / x) * (x * K(y,z)). (K(x,y) * z) * (z \ x) = (x / z) * (z * K(x,y)). x * y != (z / u) * (u * K(z,w)) | T(z,w) / y = x. T(x,y) / (z \ x) = K(x,y) * z. (K(x,y) * z) \ T(x,y) = z \ x. ((x / y) * (y * K(x,z))) / T(x,z) = a(K(x,z),y,y \ x). x != T(y,z) / ((1 / u) \ y) | x = K(y,z) / u. K(x,y) * (1 / z) = K(x,y) / z. L(x \ y,x,K(y,z)) = x \ y. a(K(x,y),z,z \ x) = 1. x != K(y,z) * (1 / u) | x = (1 / u) * K(y,T(z,u)). K(x,y) / z = (1 / z) * K(x,T(y,z)). (1 / x) * K(y,T(z,x)) = K(y,z) / x. K(x,y) / T(z,u) = K(x,y) * (K(u,z) / z). K(x,y) * (K(z,u) / u) = K(x,y) / T(u,z). K(x,y) * ((1 / z) * u) = K(x,y) / (u \ z). K(x,y) * ((1 / (1 / z)) \ u) = K(x,y) / ((u \ 1) * z). x * (K(x,y) / z) = T(x,y) * (1 / z). T(x,y) * (1 / z) = x * (K(x,y) / z). K(x,y) * (K(z,u) / w) = K(x,y) / (w * K(u,z)). K(x,y) / (z * K(u,w)) = K(x,y) * (K(w,u) / z). 1 / (K(x,y) / z) = (1 / (1 / z)) * K(y,x). (1 / (1 / x)) * K(y,z) = 1 / (K(z,y) / x). K(x,y) * ((1 / z) * K(u,w)) = K(x,y) / (K(w,u) * z). L(x \ (K(y,z) / u),x,K(z,y)) = ((K(z,y) * x) \ 1) / u. x * (K(x,y) / T(T(x,y),z)) = K(x,T(T(x,y) \ (z \ 1),y)). K(x,T(T(x,y) \ (z \ 1),y)) = x * (K(x,y) / T(T(x,y),z)). T(x,y) * (1 / (z * T(x,y))) = x * (1 / (z * x)). x * y != K(z,u) * ((1 / w) * v5) | x \ (K(z,u) / (v5 \ w)) = y. (K(x,y) * (1 / z)) \ (K(x,y) / (u \ z)) = L(u,1 / z,K(x,y)). x != (1 / y) * K(z,z \ 1) | x = z * (1 / (y * z)). 1 / (K(x \ 1,x) / y) = x * (1 / ((1 / y) * x)). 1 / ((x \ 1) * (x / y)) = x * (1 / ((1 / y) * x)). a(x * (1 / ((1 / y) * x)),x \ 1,z) = ((z \ x) / y) / (z \ (x / y)). x != K(y \ z,y) * ((z / (z / y)) \ u) | x = y \ u. K(x \ 1,x) / ((y \ 1) * x) = x \ y. K(x \ 1,x) / ((y \ (z \ 1)) * x) = x \ (z * y). K(x,y * (z \ (u * w))) = K(x,y / ((w \ (u \ 1)) * z)). K(x,y / ((z \ (u \ 1)) * w)) = K(x,y * (w \ (u * z))). T(a(K(x,y),z,z \ x),x) = ((x / z) * (z * K(y,x))) \ ((y * x) / y). ((x / y) * (y * K(z,x))) \ ((z * x) / z) = T(a(K(x,z),y,y \ x),x). L(x \ (K(y,z) / u),x,K(z,y)) = (x \ K(y,z)) / u. x != K(y,T(T(y,z) \ u,w)) | x = K(y,T(y \ u,w)). x * (K(x,y) / T(T(x,y),z)) = K(x,T(x \ (z \ 1),y)). x * (1 / T(x,T(y,z))) = K(x,T(x \ (y \ 1),z)). K(x,T(x \ (y \ 1),z)) = x * (1 / T(x,T(y,z))). x != y * (1 / T(y,z)) | x = K(y,y \ (z \ 1)). K(x,T(x \ (y \ 1),z)) = K(x,x \ (T(y,z) \ 1)). K(x,x \ (T(y,z) \ 1)) = K(x,T(x \ (y \ 1),z)). K(x,x \ ((y \ (1 / z)) \ 1)) = K(x,T(x \ ((1 / (y * z)) \ 1),y)). K(x,T(x \ ((1 / (y * z)) \ 1),y)) = K(x,x \ ((y \ (1 / z)) \ 1)). (K(x,y) / z) \ (K(x,y) / (u \ z)) = L(u,1 / z,K(x,y)). (K(x,y) / (z * u)) \ (K(x,y) / u) = L(z,1 / (z * u),K(x,y)). L(x,1 / (x * y),K(z,u)) = (K(z,u) / (x * y)) \ (K(z,u) / y). x != (y / (z * u)) \ (y / u) | x = R(z,u,y \ 1). L(x,1 / (x * y),K(z,u)) = R(x,y,K(z,u) \ 1). L(x,1 / (x * y),K(z,u)) = R(x,y,K(u,z)). K(x,T(x \ ((1 / (y * z)) \ 1),y)) = K(x,x \ (z * ((y \ 1) \ 1))). x != K(y,y \ (z * (u \ 1))) | x = K(y,y \ (z / u)). K(x,T(x \ ((1 / (y * z)) \ 1),y)) = K(x,x \ (z / (y \ 1))). K(x,T(x \ ((1 / (y * z)) \ 1),y)) = K(x,x \ ((1 / z) \ y)). x != K(y,y \ ((1 / z) \ u)) | x = K(y,z * (y \ u)). K(x,T(x \ ((1 / (y * z)) \ 1),y)) = K(x,z * (x \ y)). K(x,T(x \ (y * z),y)) = K(x,z * (x \ y)). x != T(a(K(y,z),u,w),y) | x = a(K(y,z),u,w). ((x / y) * (y * K(z,x))) \ ((z * x) / z) = a(K(x,z),y,y \ x). x != ((y / z) * (z * K(u,y))) \ ((u * y) / u) | x = a(y / z,z,K(u,y)). a(K(x,y),z,z \ x) = a(x / z,z,K(y,x)). a(K(x * y,z),y,y \ (x * y)) = a(x,y,K(z,x * y)). a(K(x * y,z),y,T(x,y)) = a(x,y,K(z,x * y)). T(x * y,z) * a(x,y,K(z,x * y)) = (K(x * y,z) * y) * T(x,y). x != T(y * z,u) * a(y,z,K(u,y * z)) | x = y * (z * K(y * z,u)). (K(x * y,z) * y) * T(x,y) = x * (y * K(x * y,z)). (K(x * y,z) * y) * T(x,y) != x * u | y * K(x * y,z) = u. R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = R(T(x,R(x,z,u) \ y),z,u). R(T(x,x \ ((y * (z * u)) / (z * u))),z,u) = R(T(x,R(x,z,u) \ y),z,u). R(T(x,x \ y),z,u) = R(T(x,R(x,z,u) \ y),z,u). R(T(x,R(x,y,z) \ u),y,z) = R(T(x,x \ u),y,z). (R(x,y,z) \ u) \ u = R(T(x,x \ u),y,z). R(T(x,x \ y),z,u) = (R(x,z,u) \ y) \ y. (R(x,y,z) * u) / (R(T(x,x \ w),y,z) * u) = K(R(x,y,z) \ w,R(x,y,z)). x != R(T(y,y \ z),u,w) | x = R((y \ z) \ z,u,w). (R(x,y,z) \ u) \ u = R((x \ u) \ u,y,z). R((x \ y) \ y,z,u) = (R(x,z,u) \ y) \ y. R(T(x,y),z,u) = (R(x,z,u) \ (x * y)) \ (x * y). (R(x,y,z) \ (x * u)) \ (x * u) = R(T(x,u),y,z). R(x \ y,z,u) = (R(y / x,z,u) \ y) \ y. (R(x / y,z,u) \ x) \ x = R(y \ x,z,u). R(((x * K(y,x)) \ y) \ y,z,u) = (R(x,z,u) \ ((R(x,z,u) * y) / R(x,z,u))) \ y. K(x,R(y \ x,z,u) \ w) = K(x,R(x / y,z,u) \ w). K(x,R(x / y,z,u) \ w) = K(x,R(y \ x,z,u) \ w). (x * y) \ (x * (R(x,z,u) * y)) = R(T(x,R(x,z,u) * y),z,u). R(T(x,R(x,y,z) * u),y,z) = (x * u) \ (x * (R(x,y,z) * u)). x != (y * z) \ (y * (u * z)) | x = L(T(u,z),z,y). R(T(x,R(x,y,z) * u),y,z) = L(T(R(x,y,z),u),u,x). R(T(x,R(x,y,z) * u),y,z) = L(R(T(x,u),y,z),u,x). x != L(R(T(y,z),u,w),z,y) | x = R(T(y,y * z),u,w). R(T(x,R(x,y,z) * u),y,z) = R(T(x,x * u),y,z). R(T(x,x * y),z,u) \ R(x,z,u) = K(R(x,z,u) * y,R(x,z,u)). K(x * y,R(x,z,u)) = K(R(x,z,u) * y,R(x,z,u)). K(R(x,y,z) * u,R(x,y,z)) = K(x * u,R(x,y,z)). K(x * R(y,z,u),R(y,z,u)) = K(y * x,R(y,z,u)). x != K(y * z,R(y,u,w)) | x = K(z * y,R(y,u,w)). K(x * R(y,z,u),R(y,z,u)) = K(x * y,R(y,z,u)). (x * (K(y,x) * (y * z))) \ ((y * x) * z) = L(a(x,y,z),x * (y * z),K(y,x)). K(x \ y,R(x,z,u)) = K(R(x,z,u) \ y,R(x,z,u)). K(R(x,y,z) \ u,R(x,y,z)) = K(x \ u,R(x,y,z)). T(R(x,y,z) * K(x \ u,R(x,y,z)),u) = L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)). (x * (T(y,x) * z)) \ ((y * x) * z) = L(a(x,y,z),x * (y * z),K(y,x)). L(a(x,y,z),x * (y * z),K(y,x)) = (x * (T(y,x) * z)) \ ((y * x) * z). L(a(x,y,z),x * (y * z),K(y,x)) != u | a(x,T(y,x),z) = u. K(T(x,y * z),u / ((y * T(x,y * z)) * z)) = K(x,T(u / (x * (y * z)),y * z)). x != (y \ ((y * z) / y)) \ z | x = (y \ z) \ T(z,y). R(((x * K(y,x)) \ y) \ y,z,u) = (R(x,z,u) \ y) \ T(y,R(x,z,u)). R((x \ y) \ T(y,x),z,u) = (R(x,z,u) \ y) \ T(y,R(x,z,u)). (R(x,y,z) \ u) \ T(u,R(x,y,z)) = R((x \ u) \ T(u,x),y,z). (x / R(y,z,u)) * R((y \ w) \ T(w,y),z,u) = x * a(R(y,z,u),R(y,z,u) \ w,R(y,z,u)). T(R(x * K(x \ y,x),z,u),y) = L(R(x,z,u),R(x,z,u) \ y,R(x,z,u)). L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = R(T(x * K(x \ u,x),u),y,z). R(T(x * K(x \ y,x),y),z,u) = L(R(x,z,u),R(x,z,u) \ y,R(x,z,u)). R(L(x,x \ y,x),z,u) = L(R(x,z,u),R(x,z,u) \ y,R(x,z,u)). L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = R(L(x,x \ u,x),y,z). L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = L(R(x,y,z),x \ u,x). (L(R(x,y,z),x \ u,x) * u) \ (R(x,y,z) * u) = a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)). a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)) = (L(R(x,y,z),x \ u,x) * u) \ (R(x,y,z) * u). x != K(y,T(z / (y * u),u)) | x = K(y,u \ (y \ z)). K(T(x,y * z),u / ((y * T(x,y * z)) * z)) = K(x,(y * z) \ (x \ u)). K(x,T(y / ((z * T(x,z * u)) * u),z * u)) = K(x,(z * u) \ (x \ y)). x != K(y,T(z / ((u * T(y,w)) * v5),v6)) | x = K(y,T(z / ((u * y) * v5),v6)). K(x,(y * z) \ (x \ u)) = K(x,T(u / ((y * x) * z),y * z)). K(x,T(y / ((z * x) * u),z * u)) = K(x,(z * u) \ (x \ y)). x != K(y,T(z / ((u * y) * w),u * w)) | x = K(y,((u * y) * w) \ z). K(x,(y * z) \ (x \ u)) = K(x,((y * x) * z) \ u). K(x,((y * x) * z) \ u) = K(x,(y * z) \ (x \ u)). x != K(y,(((y \ z) * y) * u) \ w) | x = K(y,(z * u) \ w). K(x,((x \ y) * z) \ (x \ u)) = K(x,(y * z) \ u). K(x,((y * x) * (y \ 1)) \ z) = K(x,x \ z). x != K(y,((z * y) * (z \ 1)) \ (y * u)) | x = K(y,a(y,z,z \ 1) \ u). K(x,x \ (x * y)) = K(x,a(x,z,z \ 1) \ y). K(x,a(x,y,y \ 1) \ z) = K(x,x \ (x * z)). K(x,a(x,y,y \ 1) \ z) = K(x,z). x != K(y,a(y,z,z \ 1) \ (u \ R(y,z,z \ 1))) | x = K(y,u \ y). K(x,y \ R(x,z,z \ 1)) = K(x,y \ x). x != K(y,z \ R(y,u,u \ 1)) | x = K(y,z \ ((u * y) * (u \ 1))). K(x,y \ x) = K(x,y \ ((z * x) * (z \ 1))). K(x,y \ ((z * x) * (z \ 1))) = K(x,y \ x). x != K(y,((z \ u) * w) \ (u * w)) | x = R(K(y,T(z,u * w)),u,w). K(x,((y \ (z * x)) * (z \ 1)) \ x) = R(K(x,T(y,(z * x) * (z \ 1))),z * x,z \ 1). R(K(x,T(y,(z * x) * (z \ 1))),z * x,z \ 1) = K(x,((y \ (z * x)) * (z \ 1)) \ x). K(x,((x \ y) * z) \ 1) = K(x,(y * z) \ x). L(x,T(y,y \ z) \ 1,y) != u | L(x,((y \ z) \ z) \ 1,(y \ z) \ z) = u. R(K(x,T(y,(z * x) / z)),z * x,z \ 1) = K(x,((y \ (z * x)) * (z \ 1)) \ x). R(K(x,T(y,T(x,z))),z * x,z \ 1) = K(x,((y \ (z * x)) * (z \ 1)) \ x). R(K(x,y),z * x,z \ 1) = K(x,((y \ (z * x)) * (z \ 1)) \ x). K(x,((y \ (z * x)) * (z \ 1)) \ x) = R(K(x,y),z * x,z \ 1). K(x,((y \ (z * x)) * (z \ 1)) \ x) = K(R(x,z,z \ 1),y). K(x,(((y \ z) * x) * (z \ 1)) \ x) = K(R(x,z,z \ 1),R(y,y \ z,x)). K(R(x,y,y \ 1),R(z,z \ y,x)) = K(x,(((z \ y) * x) * (y \ 1)) \ x). R(K(R(x,y,y \ 1),z),y,x) = K(x,(((z \ y) * x) * (y \ 1)) \ x). x != R(K(R(y,z,u),w),v5,y) | x = K(R(y,z,u),w). K(x,(((y \ z) * x) * (z \ 1)) \ x) = K(R(x,z,z \ 1),y). x != K(y,((z * y) * u) \ w) | x = K(y,(z * u) \ (y \ w)). K(R(x,y,y \ 1),z) = K(x,((z \ y) * (y \ 1)) \ (x \ x)). K(x,((y \ z) * (z \ 1)) \ (x \ x)) = K(R(x,z,z \ 1),y). K(x,((y \ z) * (z \ 1)) \ 1) = K(R(x,z,z \ 1),y). x != K(y,((z \ u) * (u \ 1)) \ 1) | x = R(K(y,z),u,u \ 1). K(R(x,y,y \ 1),z) = R(K(x,z),y,y \ 1). R(K(x,y),z,z \ 1) = K(R(x,z,z \ 1),y). R(K(x,y),z,z \ 1) \ 1 = K(y,R(x,z,z \ 1)). R(K(x,y),z,z \ 1) = K(x,R(y,z,z \ 1)). R(K(x,y),z,z \ 1) = K(x,(y * z) * (z \ 1)). K(x,(y * z) * (z \ 1)) = R(K(x,y),z,z \ 1). ((x * ((x \ y) * K(x / y,y))) / x) \ 1 = x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)). ((x * ((y * (x / y)) \ y)) / x) \ 1 = x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)). ((x / (x / y)) / x) \ 1 = x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)). x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)) = ((x / (x / y)) / x) \ 1. x / (x * ((1 / ((x / ((x \ y) \ 1)) / x)) \ 1)) = ((x / (x / y)) / x) \ 1. x / (x * ((x / ((x \ y) \ 1)) / x)) = ((x / (x / y)) / x) \ 1. x / (x / ((y / x) \ 1)) = ((x / (x / y)) / x) \ 1. 1 / (x / (x / ((y / x) \ 1))) = (x / (x / y)) / x. x != K(L(y,z,u),L(y,z,u) \ w) | x = K(L(y,z,u),y \ w). K(L(x,y,z),(u * (1 / x)) \ w) = K(L(x,y,z),x \ ((u * (x \ (1 / L(x,y,z)))) \ w)). K(L(x,y,z),x \ ((u * (x \ (1 / L(x,y,z)))) \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). K(L(x,y,z),(u * (1 / L(x,y,z))) \ w) = K(L(x,y,z),(u * (1 / x)) \ w). x != K(y,(z * (u / y)) \ w) | x = K(y,y * ((z * u) \ w)). K(L(x,y,z),(u * (1 / x)) \ w) = K(L(x,y,z),L(x,y,z) * ((u * 1) \ w)). K(L(x,y,z),L(x,y,z) * ((u * 1) \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). x != K(y,(z * (1 / u)) \ w) | x = K(y,(z * (u \ 1)) \ w). K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),(u * (x \ 1)) \ w). x != K(L(y,z,u),(w * (y \ v5)) \ v6) | x = K(L(y,z,u),y * ((w * v5) \ v6)). K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),x * ((u * 1) \ w)). K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),x * (u \ w)). x != K(y,(z * (u / (1 / w))) \ v5) | x = K(y,(z * (u / (w \ 1))) \ v5). K(x,((1 / (K(y,(z \ x) \ 1) / y)) * z) \ (u * x)) = K(x,(((z \ x) \ 1) * (1 / (y \ 1))) \ u). (L(x,y,z) * (K(x,T(u,w)) * w)) \ (L(x,y,z) * w) = R(K(u,L(x,w,L(x,y,z))),L(x,y,z),w). ((K(x,y) * z) * K(y,x)) * K(u,y) = ((1 / (1 / K(y,x))) \ z) * (K(y,x) * K(u,y)). ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = ((K(y,x) * z) * K(x,y)) * K(u,x). ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = T(z,K(x,y)) * K(u,x). x != T(y,K(z,u)) * K(w,z) | x = T(y * K(w,z),K(z,u)). ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = T(z * K(u,x),K(x,y)). (K(x,y) \ z) * (K(x,y) * K(u,x)) = T(z * K(u,x),K(x,y)). (K(x,y) * z) * (K(y,x) * K(u,y)) = T(z * K(u,y),K(y,x)). x * K(K(y,z) * K(z,u),x) = T((K(z,u) * x) * K(u,z),K(z,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 != (K(y,T(z,u)) * K(z,w)) \ v5 | x = K(z,T(y,u)) * (K(w,z) * v5). (K(x,y) * K(z,x)) \ K(K(x,y) * K(z,x),u * K(y,x)) = K(x,T(z,u)) * (K(T(y,u),x) * 1). (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(R(y,z,u),R(y,z,u) \ (w * y),R(y,z,u)). x * a(R(y,z,u),R(y,z,u) \ (w * y),R(y,z,u)) = (x / R(y,z,u)) * R(R(y,w,y),z,u). K(x,((1 / (K(y,(z \ x) \ 1) / y)) * z) \ (u * x)) = K(x,(((z \ x) \ 1) * y) \ u). K(x,((1 / (K(y,x \ z) / y)) * z) \ (u * x)) = K(x,(((z \ x) \ 1) * y) \ u). x != K(y,((1 / (K(z,y \ u) / z)) * u) \ (w * y)) | x = K(y,((y \ u) * z) \ w). K(x,(((y \ x) \ 1) * z) \ u) = K(x,((x \ y) * z) \ u). (L(x,y,z) * (u * K(x,w))) \ (L(x,y,z) * u) = R(K(w,L(x,u,L(x,y,z))),L(x,y,z),u). K(x,y) = R(K(x,L(y,z,L(y,u,w))),L(y,u,w),z). R(K(x,L(y,z,L(y,u,w))),L(y,u,w),z) = K(x,y). R(K(x,y),L(y,z,u),w) = K(x,y). x != R(K(y / (z / u),w),y,u) | x = K((y * u) / z,w). K(L(x,y,z) / (u / w),x) = K((L(x,y,z) * w) / u,x). K((L(x,y,z) * u) / w,x) = K(L(x,y,z) / (w / u),x). x != K(L(y,z,u) / w,y) | x = K(w \ L(y,z,u),y). K((L(x,y,z) * u) / w,x) = K((w / u) \ L(x,y,z),x). x != K((L(y,z,u) * w) / v5,y) | x = K((((L(y,z,u) \ v5) \ w) \ w) \ w,y). K((x / y) \ L(z,u,w),z) = K((((L(z,u,w) \ x) \ y) \ y) \ y,z). K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K((u / w) \ L(x,y,z),x). K((x / y) \ L(z,u,w),z) != v5 | K(y / (L(z,u,w) \ x),z) = v5. (K(x,y) * K(z,x)) \ K(K(x,y) * K(z,x),u * K(y,x)) = K(x,T(z,u)) * (K(y,T(x,u)) * 1). (K(x,y) * K(z,x)) \ K(K(x,y) * K(z,x),u * K(y,x)) = K(x,T(z,u)) * K(y,T(x,u)). 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 * 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). 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(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 != 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. ((x \ ((y * z) \ 1)) \ ((y * (z * x)) \ 1)) * (y * (z * x)) = (y * (z * x)) * ((a(y,z,x) \ 1) \ 1). K(x / ((y \ 1) * z),y * K(y \ z,y)) = K((y \ L(z,y \ 1,y)) \ x,y). K(T(x / ((y \ 1) * z),y \ z),y) = K((y \ L(z,y \ 1,y)) \ x,y). K(T(x / ((y \ 1) * z),y \ z),y) = K(((y \ 1) * z) \ x,y). K(T(x / ((y \ 1) * z),z),y) = K(((y \ 1) * z) \ x,y). K(x / ((T(y,z) \ 1) * z),y) = K(((T(y,z) \ 1) * z) \ x,T(y,z)). K(((T(x,y) \ 1) * y) \ z,T(x,y)) = K(z / ((T(x,y) \ 1) * y),x). x != K(y / ((T(z,u) \ w) * v5),z) | x = K(y / ((z \ w) * v5),z). K(((T(x,y) \ 1) * y) \ z,T(x,y)) = K(z / ((x \ 1) * y),x). x != K(((y \ 1) * z) \ u,y) | x = K(z \ (u * y),y). K(x / ((y \ 1) * z),y) = K(z \ (x * T(y,z)),T(y,z)). K(x \ (y * T(z,x)),T(z,x)) = K(y / ((z \ 1) * x),z). K((x * T(y,z)) / z,y) = K(x / ((y \ 1) * z),y). K(x / (y \ z),y) = K(x / ((y \ 1) * z),y). K(x / ((y \ 1) * z),y) = K(x / (y \ z),y). K(x / (y * (z \ 1)),z) = K(x / (z \ T(y,z \ 1)),z). K(x / (y \ T(z,y \ 1)),y) = K(x / (z * (y \ 1)),y). K(x / (y \ z),y) = K(x / (z * (y \ 1)),y). K(x / (y * (z \ 1)),z) = K(x / (z \ y),z). x != K((y * z) / (y * (u \ 1)),u) | x = L(K(u * z,T(u,y)),z,y). K((x * y) / (z \ x),z) = L(K(z * y,T(z,x)),y,x). L(K(x * y,T(x,z)),y,z) = K((z * y) / (x \ z),x). K(R(x \ y,z,u),w \ (x \ y)) = K(R(x \ y,z,u),w \ (y / x)). K(R(x \ y,z,u),w \ (y / x)) = K(R(x \ y,z,u),w \ (x \ y)). K(R(x \ (x * y),z,u),w * K(x,y)) = K(R(x \ (x * y),z,u),R(y / w,w,K(x,y)) \ (x \ (x * y))). K(R(x \ (x * y),z,u),R(y / w,w,K(x,y)) \ (x \ (x * y))) = K(R(x \ (x * y),z,u),w * K(x,y)). (x * (y * z)) \ ((x * y) * L(T(u * z,u) / u,y,x)) = L(a(u,L(z,y,x),u),L(z,y,x),x * y). (K(x,y) * K(z,y)) * u = K(z,y) * (R(K(x,y),K(z,y),u) * u). K(x,y) * (R(K(z,y),K(x,y),u) * u) = (K(z,y) * K(x,y)) * u. K(x,y) * (K(z,y) * u) = (K(z,y) * K(x,y)) * u. (K(x,y) * K(z,y)) * u = K(z,y) * (K(x,y) * u). ((x * y) / x) \ (T(y,z) * (K(z,y) * (K(x,y) * u))) = L(u,T(y,z) \ ((x * y) / x),T(y,z)). ((x * y) / x) \ (y * (K(x,y) * z)) = L(z,T(y,u) \ ((x * y) / x),T(y,u)). L(x,T(y,z) \ ((u * y) / u),T(y,z)) = ((u * y) / u) \ (y * (K(u,y) * x)). x != ((y * z) / y) \ (z * u) | x = K(z,y) * u. L(x,T(y,z) \ ((u * y) / u),T(y,z)) = K(y,u) * (K(u,y) * x). x != K(y,z) * (K(z,y) * u) | x = u. L(x,T(y,z) \ ((u * y) / u),T(y,z)) = x. L(x,K(y,z) * K(u,z),T(z,u)) = x. K(x * y,T(T(x,z),u)) * K((x \ z) \ z,T(y,u)) = a((x \ z) \ z,y,(x \ z) \ z). a((x \ y) \ y,z,(x \ y) \ y) = K(x * z,T(T(x,y),u)) * K((x \ y) \ y,T(z,u)). a((x \ y) \ y,z,(x \ y) \ y) = K(x * z,T(T(x,y),u)) * K(x,T(T(z,u),y)). x != a((y \ z) \ z,u,(y \ z) \ z) | x = a(y,u,y). K(x * y,T(T(x,z),u)) * K(x,T(T(y,u),z)) = a(x,y,x). K(x * y,T(T(x,z),u)) * K(x,T(T(y,z),u)) = a(x,y,x). K(((x / y) \ 1) * z,y / x) * K((x / y) \ 1,T(z,y \ x)) = a((x / y) \ 1,z,(x / y) \ 1). x != (L(y,z \ u,z) * u) \ (y * u) | x = a(z,z \ u,T(y,u)). a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)) = a(x,x \ u,T(R(x,y,z),u)). a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)) = a(x,x \ u,R(T(x,u),y,z)). ((x \ (y \ (z \ 1))) \ ((z * (y * x)) \ 1)) * (z * (y * x)) = (z * (y * x)) * ((a(z,y,x) \ 1) \ 1). (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((x \ y) \ z,x / y) * K((y / x) \ 1,T(z,x \ y)) = a((y / x) \ 1,z,(y / x) \ 1). K((x \ y) \ z,x / y) * K(x / y,T(z,x \ y)) = a((y / x) \ 1,z,(y / x) \ 1). K((x \ y) \ z,x / y) * K(x / y,z) = a((y / x) \ 1,z,(y / x) \ 1). ((x \ (y \ (z \ 1))) \ ((y * x) \ (z \ 1))) * (z * (y * x)) = (z * (y * x)) * ((a(z,y,x) \ 1) \ 1). T(R(((x \ R(x,y,z)) \ 1) \ 1,x,y * z),x * (y * z)) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. R(T(x,x * y) * L(T(x,x * y) \ 1,z,u),y,x) = T(x,y) * L(T(x,y) \ 1,z,u). R(T(x * L(x \ 1,y,z),x * u),u,x) = T(x,u) * L(T(x,u) \ 1,y,z). R(T(x * L(x \ 1,y,z),x * u),u,x) != w | T(x * L(x \ 1,y,z),u) = w. T(x \ 1,y * x) * L(T(x \ 1,x * y) \ 1,z,u) = T(x \ L(x,z,u),y * x). x != T(y \ 1,z * y) * L(T(y \ 1,y * z) \ 1,u,w) | x = T(y \ L(y,u,w),z * y). T((x \ 1) * L((x \ 1) \ 1,y,z),x * u) = T(x \ L(x,y,z),u * x). T(x \ L(x,y,z),x * u) = T(x \ L(x,y,z),u * x). T(x \ L(x,y,z),u * x) = T(x \ L(x,y,z),x * u). K((T(x \ L(x,y,z),x * u) / w) / ((x \ L(x,y,z)) / w),v5) = K(x \ L(x,y,z),K(u * x,v5)). K(K(((x \ L(x,y,z)) / u) / (u \ 1),x * w),v5) = K(x \ L(x,y,z),K(w * x,v5)). K(x,K(((y \ L(y,z,u)) / w) / (w \ 1),y * v5)) = K(y \ L(y,z,u),K(v5 * y,x)). K(x,K(y * z,((y \ L(y,u,w)) / v5) * v5)) = K(y \ L(y,u,w),K(z * y,x)). K(x,K(y * z,y \ L(y,u,w))) = K(y \ L(y,u,w),K(z * y,x)). K(x \ L(x,y,z),K(u * x,w)) = K(w,K(x * u,x \ L(x,y,z))). K(x,K(y * z,z \ L(z,u,w))) = K(x,K(z * y,z \ L(z,u,w))). x \ ((x / ((y * z) / y)) * ((z \ 1) * ((y * z) / y))) = T(x \ (x / z),(y * z) / y). x \ ((x / ((y * z) / y)) * ((T(z,y) \ 1) * z)) = T(x \ (x / z),(y * z) / y). (1 / ((x * y) / x)) * ((T(y,x) \ 1) * y) = T(1 \ (1 / y),(x * y) / x). (1 / ((x * y) / x)) * ((T(y,x) \ 1) * y) = T(1 / y,(x * y) / x). x * y != T(1 / z,(u * z) / u) | x \ (z \ 1) = y. (1 / ((x * y) / x)) \ (y \ 1) = (T(y,x) \ 1) * y. x != y * (T(z * (y \ 1),z) / z) | x = a(z,y \ 1,z). K(x \ (y * z),z) * K(z,z \ T(z * ((y \ x) \ 1),z)) = a(z,(y \ x) \ 1,z). K(x \ (y * z),z) * K(z,(y \ x) \ 1) = a(z,(y \ x) \ 1,z). K(x \ (y * z),z) * K(z,x \ y) = a(z,(y \ x) \ 1,z). K(x * (y \ z),x) * K(x,y \ z) = a(x,(z \ y) \ 1,x). a(x,(y \ z) \ 1,x) != u | a(x,z \ y,x) = u. K((1 / x) \ (y \ z),1 / (x * T(y \ z,z \ y))) = ((1 / x) \ K(y \ z,z \ y)) * (1 / x). K((1 / x) \ (y \ z),1 / (x * T(y \ z,z \ y))) = (x * K(y \ z,z \ y)) * (1 / x). x != K(y,z / ((u * (K(w,y) * v5)) * v6)) | x = K(y,z / ((u * v5) * v6)). K(R(x,K(y * z,x) * y,z),u \ x) = K(x,((y * z) * R(x,y,z)) / ((u * y) * z)). 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)). x != K(y,z \ (y * u)) | x = K(y,y * (z \ u)). K(L(x,y,z),T(u \ L(x,y,z),L(K(x,w),v5,v6))) = K(L(x,y,z),L(x,y,z) * (u \ L(K(x,w),v5,v6))). 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)). x != K(L(y,z,u),L(y,z,u) * (w \ v5)) | x = K(L(y,z,u),y * (w \ v5)). K(L(x,y,z),T(u \ L(x,y,z),L(K(x,w),v5,v6))) = K(L(x,y,z),x * (u \ L(K(x,w),v5,v6))). x != K(L(y,z,u),y * (w \ L(K(y,v5),v6,v7))) | x = K(L(y,z,u),w \ y). K(L(x,y,z),T(u \ L(x,y,z),L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). K(L(x,y,z),u \ L(x,y,z)) = K(L(x,y,z),u \ x). (x * K(L(y,z,u),w \ y)) \ x = K(w \ L(y,z,u),L(y,z,u)). K(x \ L(y,z,u),L(y,z,u)) = (w * K(L(y,z,u),x \ y)) \ w. K(x \ L(y,z,u),L(y,z,u)) = K(x \ y,L(y,z,u)). T(L(x,y,z) * K((u \ 1) \ x,L(x,y,z)),u) = u \ T(L(x,y,z) * u,L(x,y,z)). T(L(x,y,z) * K(x * (1 \ u),L(x,y,z)),u) = u \ T(L(x,y,z) * u,L(x,y,z)). T(L(x,y,z) * K(x * u,L(x,y,z)),u) = u \ T(L(x,y,z) * u,L(x,y,z)). T(L(x * K(x * y,x),z,u),y) = y \ T(L(x,z,u) * y,L(x,z,u)). x \ T(L(y,z,u) * x,L(y,z,u)) = L(T(y * K(y * x,y),x),z,u). L(T(x * K(x * y,x),y),z,u) = y \ T(L(x,z,u) * y,L(x,z,u)). L(R(x,y,x),z,u) = y \ T(L(x,z,u) * y,L(x,z,u)). x \ T(L(y,z,u) * x,L(y,z,u)) = L(R(y,x,y),z,u). R(L(x,y,z),u,L(x,y,z)) = L(R(x,u,x),y,z). (x * y) * L(R(z,u,z),y,x) = x * (y * R(z,u,L(z,y,x))). K(x,L(R(y,z,y),u,w)) != v5 | K(x,L(y,u,w)) = v5. K(L(x,y * (x \ z),u),y) != w | K(x,L(y,z,u)) = w. x * R(y,z,y) = x * R(y,z,L(y,x,u)). x * R(y,z,L(y,x,u)) = x * R(y,z,y). R(x,y,x) = R(x,y,L(x,z,u)). R(x,y,L(x,z,u)) = R(x,y,x). (x * (y * R(z,u,z))) / (x * (y * z)) = a(L(z,y,x),u,L(z,y,x)). x != R(y,z,y) | x = T(y * K(z * y,y),z). R(x,y,L(x,z,u)) = T(x * K(y * x,x),y). T(x * K(y * x,x),y) = R(x,y,L(x,z,u)). (x * T(y,z)) \ (x * R(y,z,y)) = K(z * L(y,u,w),y). K(x * L(y,z,u),y) = (w * T(y,x)) \ (w * R(y,x,y)). T(R(x,y,z) * K(u * x,R(x,y,z)),u) = R(R(x,y,z),u,L(R(x,y,z),w,v5)). x != (y * T(z,u)) \ (y * R(z,u,z)) | x = K(z * u,z). K(x * L(y,z,u),y) = K(y * x,y). K(x \ L(y,z,u),y) = K(y * (x \ 1),y). x != K(y * z,y) | x = K(z,y) * a(y,z,y). K(x * L(y,z,u),y) = K(x,y) * a(y,x,y). x != K((L(y,z,u) \ w) * L(y,z,u),y) | x = K(w,y). K(x * (L(x,y,z) \ u),x) = K(u,x). x != K(y * (z \ (y \ u)),y) | x = K(z \ u,y). K(x \ y,x) = K(L(x,z,u) \ y,x). K(L(x,y,z) \ u,x) = K(x \ u,x). K(x / L(y,z,u),y) = K(y \ x,y). K(x * y,z) = K(z \ (x * (y * z)),z). K(x \ (y * (z * x)),x) = K(y * z,x). x != K(y \ (z * (u * w)),w) | x = K(y \ (z * (w * u)),w). K(x * y,z) = K(z \ (x * (z * y)),z). K(x \ (y * (x * z)),x) = K(y * z,x). K(x \ (y * z),x) = K(y * (x \ z),x). K(x \ y,x) = K(z * (x \ (z \ y)),x). K(x * (y \ (x \ z)),y) = K(y \ z,y). (x \ (y * z)) * K(y \ (y * z),y) = x \ (z * y). x != K(y * (z \ 1),y) | x = K(z \ y,y). K(x \ L(y,z,u),y) = K(x \ y,y). K(x / (L(y,z,u) \ w),y) = K((w / x) \ y,y). x != K((y \ z) \ L(u,w,v5),u) | x = K(z \ (y * L(u,w,v5)),u). K((x \ y) \ z,z) = K(y \ (x * L(z,u,w)),z). K(x \ (y * L(z,u,w)),z) = K((y \ x) \ z,z). (L(x,y,z) * K((u \ x) \ x,x)) * u = (x \ (L(x,y,z) * u)) * x. a(x,y,L(x,z,u)) = a(x,y,x). (x / y) * R(y,z,y) = x * a(y,z,L(y,u,w)). K(x / (y \ z),y) = K((z / x) \ y,y). K((x * y) / z,x) = K((z / y) \ x,x). x != K((y * z) / (u \ y),u) | x = L(K(u * z,T(u,y)),z,y). K((x / (x * y)) \ z,z) = L(K(z * y,T(z,x)),y,x). L(K(x * y,T(x,z)),y,z) = K((z / (z * y)) \ x,x). x != K(y / (z \ u),z) | x = K(u \ (z * y),T(z,y)). K((x / y) \ z,z) = K(x \ (z * y),T(z,y)). K(x \ (y * z),T(y,z)) = K((x / z) \ y,y). x != K((y * z) / u,y) | x = K(((y \ 1) \ z) / u,y). K((x / y) \ z,z) = K(((z \ 1) \ y) / x,z). K(((x \ 1) \ y) / z,x) = K((z / y) \ x,x). x != K(y \ (z * u),T(z,w)) | x = K(y \ (u * z),T(z,w)). K((x / y) \ z,z) = K(x \ (y * z),T(z,y)). K(x \ (y * z),T(z,y)) = K((x / y) \ z,z). K(x / y,z) = K((y / ((z \ 1) * x)) \ z,z). K((x / ((y \ 1) * z)) \ y,y) = K(z / x,y). x != K(y \ (z * u),T(u,w)) | x = K((z \ y) \ u,T(u,w)). K((x / y) \ z,z) = K((y \ x) \ z,T(z,y)). K((x \ y) \ z,T(z,x)) = K((y / x) \ z,z). K(x \ y,y) = K(z / (x * ((y \ 1) * z)),y). K(x / (y * ((z \ 1) * x)),z) = K(y \ z,z). K(x \ y,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 \ 1) * x)),(z \ 1) \ 1) = K(y \ z,z). x != K(((y * z) / y) \ u,u) | x = K(u * (z \ K(z,y)),u). K(x \ y,T(y,z)) = K(y * (x \ K(x,z)),y). K(x * (y \ K(y,z)),x) = K(y \ x,T(x,z)). K((x \ K(x,y)) * z,z) = K(x \ z,T(z,y)). x != K((y \ z) \ u,u) | x = K(u * (z \ y),u). K(x \ (y * L(z,u,w)),z) = K(z * (x \ y),z). (x / y) * R(y,z,L(y,u,w)) = x * a(y,z,L(y,v5,v6)). K(x \ (y * (z * u)),u) = K(u * (x \ (y * z)),u). (x \ (y * z)) * K(z,y) = x \ (z * y). (x * y) * K(y,z * x) = R(z,x,y) \ (y * (z * x)). R(x,y,z) \ (z * (x * y)) = (y * z) * K(z,x * y). K(x \ (y \ (z * (u * y))),y) = K(y * ((x * y) \ (z * u)),y). K(x * (y \ (z * u)),x) = K(y \ (z * (x * u)),x). K(x \ (y * (z * u)),z) = K(z * (x \ (y * u)),z). x != K(y \ (z * (u * w)),u) | x = K(((z \ y) \ w) * u,L(u,w,z)). K(x * (y \ (z * u)),x) = K(((z \ y) \ u) * x,L(x,u,z)). K(((x \ y) \ z) * u,L(u,z,x)) = K(u * (y \ (x * z)),u). L(K(x * y,T(y,z)),x,z) = K((z / (z * x)) \ y,y). x != (y * z) * K(z,u) | x = y * T(z,u). R(x,y,z) \ (z * (x * y)) = y * T(z,x * y). K(x \ (y / ((z \ 1) * y)),z) = K(x \ z,z). K(x \ R(y \ 1,y,z),y \ 1) = K(x \ (y \ 1),y \ 1). x != K(y \ R(z \ 1,z,u),z \ 1) | x = K(u / (y * (z * u)),z \ 1). K(x \ (y \ 1),y \ 1) = K(z / (x * (y * z)),y \ 1). K(x / (y * (z * x)),z \ 1) = K(y \ (z \ 1),z \ 1). x != K(y / (z * (u * y)),u \ 1) | x = K(z \ ((u * y) \ y),u \ 1). K(x \ (y \ 1),y \ 1) = K(x \ ((y * z) \ z),y \ 1). K(x \ ((y * z) \ z),y \ 1) = K(x \ (y \ 1),y \ 1). K((x \ 1) \ (y \ 1),y \ 1) = K(x * ((y * z) \ z),y \ 1). x != K(y * ((z * y) \ u),y) | x = K(z \ u,y). K(x \ (y \ (z * (u * y))),y) = K(x \ (z * u),y). x != K((y * z) \ (u \ (y * ((z * w) * u))),u) | x = K(L(w,u * z,y),u). K((x * y) \ (x * (y * z)),u) = K(L(z,u * y,x),u). K(L(x,y * z,u),y) = K((u * z) \ (u * (z * x)),y). K(L(x,y * z,u),y) = K(L(x,z,u),y). K(x,L(y,z,u)) = K(L(x,x \ z,u),y). K(L(x,x \ y,z),u) = K(x,L(u,y,z)). L(K(x,y),z,u) = K(x,L(y,z,u)). K(x,L(y,z,u)) != w | L(K(x,y),z,u) = w. K(x,(y * ((y \ z) / u)) \ z) = K(x,L(u,y \ z,y)). K(L(x,y,z),u) = K(x,L(u,y * x,z)). K(x,L(y,z * x,u)) = K(L(x,z,u),y). L(K(x,y),z,u) = K(L(y,z,u),x) \ 1. K(L(x,y,z),u) \ 1 = L(K(u,x),y,z). x != L(K(y,z),u,w) | x = K(y,L(z,z \ u,w)). K(x,L(y,z,u)) = K(x,L(y,y \ z,u)). K(x,L(y,y \ z,u)) = K(x,L(y,z,u)). K(x,L(y,z,z \ 1)) = K(x,y). (x * y) * K(z,L(u,y,x)) = x * (y * K(z,u)). L(K(x,y \ (z \ u)),y,z) = K(x,(z * y) \ u). L(K(x,(y \ z) \ u),y \ z,y) = K(x,z \ (y * u)). (x * (y * K(z,u))) / T(x * y,K(z,L(u,y,x))) = L(K(z,u),y,x). K(x,y) \ (K(x,L(y,z,u)) \ (w * K(x,y))) = L(K(x,y),z,u) \ T(w,K(x,y)). x / L(K(y,z),u,w) = x * K(L(z,u,w),y). K(x,L(y,x,z)) != u | K(x,y) = u. T(L(K(x,y),z,u) \ w,K(x,L(y,z,u))) = w / L(K(x,y),z,u). K(x,y) * K(y,L(x,z,u)) = a(u,z,K(x,y)). a(x,y,K(z,u)) * K(z,L(u,y,x)) = K(z,u). K(x,L(y,z,u)) * K(y,x) = a(u,z,K(y,x)). K(x,L(y,z,u)) * K(y,x) != w | a(u,z,K(y,x)) = w. K(x,K(y,z * (u \ 1))) != w | K(x,K(y,z / u)) = w. L(K(x,y),z,u) != w | K(x,L(y,z,u)) = w. T(x,L(y,y \ z,u)) = x * K(x,L(y,z,u)). K(x,(y * ((y \ z) / u)) \ z) != w | K(x,L(u,y \ z,y)) = w. L(K(x,y),z,u) = K(L(x,z,u),y). K(x,L(y,z,u)) = K(L(x,z,u),y). K(L(x,y,z),u) = K(x,L(u,y,z)). K(x,y) * K(L(y,z,u),x) = a(u,z,K(x,y)). x != K(L(y,z,u),w) | x = K(y,L(w,z * y,u)). K(x,L(y,z,u)) = K(x,L(y,z * x,u)). K(x,L(y,z * x,u)) = K(x,L(y,z,u)). K(L(x,y,z),u) != w | L(K(x,u),y,z) = w. K(x \ y,L(z,y,u)) = K(x \ y,L(z,x,u)). K(x,K(y,L(z,u,w))) != v5 | L(K(z,K(x,y)),u,w) = v5. a(x,y * z,K(z,u)) = a(x,y,K(z,u)). a(x,y,K(z,u)) != w | K(u,L(z,y,x)) * K(z,u) = w. a(x,y * z,K(u,K(w,z))) = a(x,y,K(z,K(u,w))). a(x,y,K(z,u)) != w | K(z,u) * K(u,L(z,y,x)) = w. x * a(y,z,K(u,x)) = T(x,L(u,z,y)) * K(u,x). T(x,L(y,z,u)) * K(y,x) = x * a(u,z,K(y,x)). K(x,L(y,z,u)) * K(y,x) = a(u,z * x,K(y,x)). T(x,L(y,y \ z,u)) = T(x,L(y,z,u)). a(x,y * z,K(u,z)) = a(x,y,K(u,z)). x * a(y,z,K(u,x)) = (u * x) / T(u,L(x,z,y)). (x * y) / T(x,L(y,z,u)) = y * a(u,z,K(x,y)). x * a(y,z,K(u,x)) != w | (u * x) / T(u,L(x,z,y)) = w. K(x,K(y,z)) * K(x,K(z,L(y,u,w))) = a(w,u,K(x,K(y,z))). a(x,y,K(z,u)) != w | a(x,y * u,K(z,u)) = w. x / T(x / y,L(y,z,u)) = y * a(u,z,K(y \ x,y)). K((x \ (y \ z)) \ u,L(x,u,y)) = K((x \ (y \ z)) \ u,(y * ((y \ z) / x)) \ z). a(x,y * ((1 / z) / u),K(w,K(v5,u * z))) = a(x,y,K((1 / z) / u,K(w,v5))). (x * L(y,x,y)) / T(T(x,y),L(T(y,x * y),z,u)) = T(y,x * y) * a(u,z,K(T(x,y),T(y,x * y))). x != K(((y \ z) / u) \ z,(y * ((y \ z) / u)) \ z) | x = K(((y \ z) / u) \ z,u). K(((x \ y) / z) \ y,L(z,x \ y,x)) = K(((x \ y) / z) \ y,z). a(x,y * z,K(u,z)) != w | a(x,y,K(u,z)) = w. K(x,K(y,z * (1 / u))) != w | K(x,K(y,z / u)) = w. L(x,y,z) \ ((u / x) \ (L(x,y,z) * (x \ u))) = x \ (x * a(z,y,K(x \ u,x))). K(x * ((y * z) \ z),y \ 1) = K(x * (y \ 1),y \ 1). x != K(y * (z \ 1),z \ 1) | x = K(z \ y,z \ 1). K(x * ((y * z) \ z),y \ 1) = K(y \ x,y \ 1). a(x,y,K(z,K(u,w))) != v5 | K(z,K(w,L(u,y,x))) * K(z,K(u,w)) = v5. T(L(K(x,y),z,u) * w,K(y,L(x,z,u))) = w / L(K(y,x),z,u). x != K((y / z) \ u,L(z,w,v5)) | x = K((y \ u) * z,L(z,w,v5)). K(((x \ y) / z) \ y,z) = K(((x \ y) \ y) * z,L(z,x \ y,x)). K(((x \ y) \ y) * z,L(z,x \ y,x)) = K(((x \ y) / z) \ y,z). x != y / L(K(z,u),w,v5) | x = y * L(K(u,z),w,v5). T(L(K(x,y),z,u) * w,K(y,L(x,z,u))) = w * L(K(x,y),z,u). T(x * L(K(y,z),u,w),K(z,L(y,u,w))) = L(K(y,z),u,w) * x. x != (y * (z * R(u,w,u))) / (y * (z * u)) | x = L(a(u,w,u),z * u,y). a(L(x,y,z),u,L(x,y,z)) = L(a(x,u,x),y * x,z). L(a(x,y,x),z * x,u) = a(L(x,z,u),y,L(x,z,u)). L(a(x,y,x),z,u) = a(L(x,z / x,u),y,L(x,z / x,u)). a(L(x,y / x,z),u,L(x,y / x,z)) = L(a(x,u,x),y,z). (L(x,y,z) * K(u,x)) * u = (x \ (L(x,y,z) * u)) * x. (x \ (L(x,y,z) * u)) * x = (L(x,y,z) * K(u,x)) * u. x != (y * K(z,u)) * z | x = y * T(z,u). (x \ (L(x,y,z) * u)) * x = L(x,y,z) * T(u,x). (L(x,y,z) * (x \ u)) * x = L(x,y,z) * T(u,x). (x / y) \ (L(y,z,u) * (y \ x)) = x \ (L(y,z,u) * T(x,y)). x != y \ (z * T(y,u)) | x = T(z * K(y,u),y). (x / y) \ (L(y,z,u) * (y \ x)) = T(L(y,z,u) * K(x,y),x). (x * (y * K(z,u))) / T(x * y,K(z,u)) = L(K(z,u),y,x). T(L(K(x,y),z,u),T(u * z,K(x,y))) = T(u * z,K(x,y)) \ (u * (z * K(x,y))). T(x * y,K(z,u)) \ (x * (y * K(z,u))) = T(L(K(z,u),y,x),T(x * y,K(z,u))). T(x * y,K(z,u)) / ((x * (y * K(z,u))) / L(K(z,u),y,x)) = K(T(x * y,K(z,u)),T(x * y,K(z,u)) \ (x * (y * K(z,u)))). K(T(x * y,K(z,u)),T(x * y,K(z,u)) \ (x * (y * K(z,u)))) = T(x * y,K(z,u)) / ((x * (y * K(z,u))) / L(K(z,u),y,x)). T(R(x * K(y * x,x),z,u),y) = R(R(x,z,u),y,L(R(x,z,u),w,v5)). T(R(x * K(x * y,x),z,u),y) = R(R(x,z,u),y,L(R(x,z,u),w,v5)). R(R(x,y,z),u,L(R(x,y,z),w,v5)) = R(T(x * K(x * u,x),u),y,z). R(T(x * K(x * y,x),y),z,u) = R(R(x,z,u),y,L(R(x,z,u),w,v5)). R(R(x,y,x),z,u) = R(R(x,z,u),y,L(R(x,z,u),w,v5)). R(R(x,y,z),u,L(R(x,y,z),w,v5)) = R(R(x,u,x),y,z). x != R(y,z,L(y,u,w)) | x = R(y,z,y). R(R(x,y,x),z,u) = R(R(x,z,u),y,R(x,z,u)). R(R(x,y,z),u,R(x,y,z)) = R(R(x,u,x),y,z). (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(R(y,z,u),w,L(R(y,z,u),v5,v6)). R(R(x,y,x),z,u) * (z * u) = (R(x,y,R(x,z,u)) * z) * u. (R(x,y,R(x,z,u)) * z) * u = R(R(x,y,x),z,u) * (z * u). (R(x,y,R(x,z,u)) * z) * u = (R(x,y,x) * z) * u. (R(T(x,y),z,R(x,u,w)) * u) * w = (R(T(x,y),z,T(x,y)) * u) * w. (R(T(x,y),z,T(x,y)) * u) * w = (R(T(x,y),z,R(x,u,w)) * u) * w. K(x,y) \ (K(L(y,z,u),x) * (w * K(x,y))) = L(K(x,y),z,u) \ T(w,K(x,y)). K(x,y) \ (K(y,L(x,z,u)) * (w * K(x,y))) = L(K(x,y),z,u) \ T(w,K(x,y)). K(x,y) \ (T(y,L(x,z,u)) * K(x,y)) = L(K(x,y),z,u) \ T(y,K(x,y)). K(x,y) \ (y * a(z,u,K(x,y))) = L(K(x,y),u,z) \ T(y,K(x,y)). L(K(x,y),z,u) \ T(y,K(x,y)) = K(x,y) \ (y * a(u,z,K(x,y))). x != K((y \ z) \ u,L(y,w,v5)) | x = K((z \ u) * y,L(y,w,v5)). K((x \ (y \ z)) \ u,(y * ((y \ z) / x)) \ z) = K(((y \ z) \ u) * x,L(x,u,y)). L(x,y,z) \ T(L(x,y,z) * K(u,x),u) = x \ (x * a(z,y,K(x \ u,x))). K(L(x,y,z),u) * K(u,x) = x \ (x * a(z,y,K(x \ u,x))). x \ (x * a(y,z,K(x \ u,x))) = K(L(x,z,y),u) * K(u,x). x \ (x * a(y,z,K(x \ u,x))) = K(x,L(u,z,y)) * K(u,x). x != K(y,L(z,u,w)) * K(z,y) | x = a(w,u,K(z,y)). x \ (x * a(y,z,K(x \ u,x))) = a(y,z,K(u,x)). a(x,y,K(z,u)) = a(x,y,K(u \ z,u)). a(x,y,K(z \ u,z)) = a(x,y,K(u,z)). a(x,y,K(z,u)) = a(x,y,K(u * z,u)). a(x,y,K(z * u,z)) = a(x,y,K(u,z)). a(x,y,K(z,u)) = a(x,y,K(z * u,u)). a(x,y,K(z * u,u)) = a(x,y,K(z,u)). a(x,y,K(z,z \ u)) = a(x,y,K(u,z \ u)). a(x,y,K(z,u \ z)) = a(x,y,K(u,u \ z)). a(x,y,K(z \ 1,u)) = a(x,y,K(z \ u,u)). a(x,y,K(z * u,z)) \ K(w,z) = K(w,z) * a(x,y,K(z,u)). x != a(y,z,K(y,u)) | x = 1. a(x,y,K(x * z,z)) = 1. L(K(x * y,y),z,u) \ T(y,K(x * y,y)) = K(x * y,y) \ (y * a(u,z,K(x,y))). L(K(x * y,y),z,x) = K(x * y,y). x * (y * K(x * z,T(z,x * y))) = K(x * z,z) * (x * y). a(x,y,K(z,z * u)) = a(x,y,K(z,u)). a(x,y,K(z,u)) = a(x,y,K(z,z \ u)). a(x,y,K(z,z \ u)) = a(x,y,K(z,u)). x != a(y,z,K(u,u \ w)) | x = a(y,z,K(w,u \ w)). a(x,y,K(z,u)) = a(x,y,K(u,z \ u)). a(x,y,K(z,u \ z)) = a(x,y,K(u,z)). a(x,y,K(z,u)) = a(x,y,K(u \ z,z)). a(x,y,K(z \ u,u)) = a(x,y,K(u,z)). x != a(y,z,K(u \ w,w)) | x = a(y,z,K(u \ 1,w)). a(x,y,K(z,u)) = a(x,y,K(u \ 1,z)). a(x,y,K(z \ 1,u)) = a(x,y,K(u,z)). a(x,y,K(z \ (u \ 1),w)) = a(x,y,K(w,u * z)). a(x,y,K(z \ u,w)) = a(x,y,K(w,u \ z)). x * (y * K(x * z,T(z,y))) = K(x * z,z) * (x * y). x != y * (z * K(u,T(w,z))) | x = y * (K(u,w) * z). K(x * y,y) * (x * z) = x * (K(x * y,y) * z). x != K(y * z,z) * (y * (K(z,y) * u)) | x = a(z,y,z) * (y * u). x * (K(x * y,y) * (K(y,x) * z)) = a(y,x,y) * (x * z). x * (a(y,x,y) * z) = a(y,x,y) * (x * z). a(x,y,x) * (y * z) = y * (a(x,y,x) * z). a(x,y,x) * z = y * (a(x,y,x) * (y \ z)). x * (a(y,x,y) * (x \ z)) = a(y,x,y) * z. x != T(L(y,z,u),T(w,y)) | x = L(T(y,w),z,u). T(x * y,K(z,u)) \ (x * (y * K(z,u))) = L(T(K(z,u),x * y),y,x). T(x * y,K(z,u)) \ (x * (y * K(z,u))) = L(K(z,T(u,x * y)),y,x). x != K(((y \ z) \ u) * w,L(w,u,y)) | x = K(w * (z \ (y * u)),w). K((x \ (y \ z)) \ u,(y * ((y \ z) / x)) \ z) = K(x * (z \ (y * u)),x). K((x \ (y \ z)) \ u,L(x,y \ z,y)) = K(x * (z \ (y * u)),x). K(x * (y \ (z * u)),x) = K(((z \ y) \ u) * x,L(x,z \ y,z)). K(((x \ y) \ z) * u,L(u,x \ y,x)) = K(u * (y \ (x * z)),u). x != K(((y \ z) \ z) * u,L(u,y \ z,y)) | x = K(((y \ z) / u) \ z,u). K(x * (y \ (z * y)),x) = K(((z \ y) / x) \ y,x). K(((x \ y) / z) \ y,z) = K(z * (y \ (x * y)),z). K(((x \ y) / z) \ y,z) = K(z * T(x,y),z). x != K((y / z) \ u,z) | x = K(z * (y \ u),z). K(x * T(y,z),x) = K(x * ((y \ z) \ z),x). K(x * ((y \ z) \ z),x) = K(x * T(y,z),x). x / (K(y * T(z,u),y) * x) = K(y,y * ((z \ u) \ u)). K(x,x * ((y \ z) \ z)) = u / (K(x * T(y,z),x) * u). T(x,x * K(y * T(z,u),y)) \ T(K(y,y * ((z \ u) \ u)) * x,x) = K(y,T(y * ((z \ u) \ u),x)). K(x,x * ((y \ z) \ z)) = K(x,x * T(y,z)). x != K(y,z) \ (z * u) | x = T(z,y) * u. L(K(x * y,y),z,u) \ T(y,K(x * y,y)) = T(y,x * y) * a(u,z,K(x,y)). K(x,(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)). T(x,x * K(y * T(z,u),y)) \ T(K(y,y * T(z,u)) * x,x) = K(y,T(y * ((z \ u) \ u),x)). x != T(y,y * K(z,u)) \ T(K(u,z) * y,y) | x = K(u,T(z,y)). K(x,T(x * ((y \ z) \ z),u)) = K(x,T(x * T(y,z),u)). 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(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(a(x,y,x),x,z) = (z * R(x,y,x)) / (z * x). (x * R(y,z,y)) / (x * y) = R(a(y,z,y),y,x). a(x,y,x) = R(a(x,y,x),x,z). R(a(x,y,x),x,z) = a(x,y,x). x != R(y,R(z,u,w),u * w) | x = ((y * R(z,u,w)) * (u * w)) / ((z * u) * w). a(R(x,y,z),u,R(x,y,z)) = ((a(R(x,y,z),u,R(x,y,z)) * R(x,y,z)) * (y * z)) / ((x * y) * z). ((a(R(x,y,z),u,R(x,y,z)) * R(x,y,z)) * (y * z)) / ((x * y) * z) = a(R(x,y,z),u,R(x,y,z)). (R(R(x,y,z),u,R(x,y,z)) * (y * z)) / ((x * y) * z) = a(R(x,y,z),u,R(x,y,z)). ((R(x,y,R(x,z,u)) * z) * u) / ((x * z) * u) = a(R(x,z,u),y,R(x,z,u)). ((R(x,y,x) * z) * u) / ((x * z) * u) = a(R(x,z,u),y,R(x,z,u)). a(R(x,y,z),u,R(x,y,z)) != w | R(a(x,u,x),x * y,z) = w. T(x / T(y,x),z) * T(y,y * T(y \ x,z)) = L(y,T(x / T(y,x),z),y) * T(x / T(y,x),z). L(x,T(y / T(x,y),z),x) * T(y / T(x,y),z) = T(y / T(x,y),z) * T(x,x * T(x \ y,z)). x * T(x \ y,z) = T(y / T(x,y),z) * T(x,x * T(x \ y,z)). T(x / T(y,x),z) * T(y,y * T(y \ x,z)) = y * T(y \ x,z). T((x * K(y,x)) * (K(y,x) \ 1),z) = (x * K(y,x)) * (T(x,z) * (x \ K(x,y))). (x * K(y,x)) * (T(x,z) * (x \ K(x,y))) = T((x * K(y,x)) * (K(y,x) \ 1),z). (x * K(y,x)) * (T(x,z) * (x \ K(x,y))) = T((x * K(y,x)) * K(x,y),z). (x * K(y,x)) * (T(x,z) * (x \ K(x,y))) = T(x,z). T(x,y) / (T(x,y) * (x \ K(x,z))) = x * K(z,x). T(x * K(y,x),x \ K(x,y)) \ T(x,z) = T(x,z) * T(x \ K(x,y),(x \ K(x,y)) \ 1). T(x,y) * T(x \ K(x,z),(x \ K(x,z)) \ 1) = T(x * K(z,x),x \ K(x,z)) \ T(x,y). T(x,y) * T(x \ K(x,z),(x \ K(x,z)) \ 1) = ((x \ 1) \ K(z,x)) \ T(x,y). T(x,y) * T(x \ K(x,z),(x \ 1) \ K(z,x)) = ((x \ 1) \ K(z,x)) \ T(x,y). T(x,y) * T(x \ K(x,z),T(x,z)) = ((x \ 1) \ K(z,x)) \ T(x,y). T(x,y) * T(x \ K(x,z),x) = ((x \ 1) \ K(z,x)) \ T(x,y). ((x \ 1) \ K(y,x)) \ T(x,z) = T(x,z) * T(x \ K(x,y),x). x != T(y,z) * T(y \ K(y,u),y) | x = (y \ K(y,u)) * T(y,z). ((x \ 1) \ K(y,x)) \ T(x,z) = (x \ K(x,y)) * T(x,z). (((x \ K(x,y)) \ 1) \ T(x,z)) \ K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ K(x,y)) \ 1)) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). K((x \ y) \ 1,((z \ K(z,u)) * T(z,w)) \ 1) = K(y \ x,T(z,w) \ ((z \ 1) \ K(u,z))). K((x * (K(y,x) / T(x,z))) \ 1,((u \ K(u,w)) * T(u,v5)) \ 1) = K(((x \ 1) \ K(y,x)) \ T(x,z),T(u,v5) \ ((u \ 1) \ K(w,u))). T(K(x,y) * (y \ (T(y,x) / z)),u) \ K(K(y,x) \ (y \ (T(y,x) / z)),u) = R(z,T(y,x) \ 1,y). T(T(x,y) \ (T(x,y) / z),u) \ K(K(x,y) \ (x \ (T(x,y) / z)),u) = R(z,T(x,y) \ 1,x). T(T(x,y) \ (T(x,y) / z),u) \ K(T(x,y) \ (T(x,y) / z),u) = R(z,T(x,y) \ 1,x). R(x,T(y,z) \ 1,T(y,z)) = R(x,T(y,z) \ 1,y). x != R(y / z,z,u) | x = (y * u) / (z * u). R(x / (T(y,z) \ 1),T(y,z) \ 1,y) = (x * T(y,z)) / ((T(y,z) \ 1) * T(y,z)). (x * T(y,z)) / ((T(y,z) \ 1) * T(y,z)) = R(x / (T(y,z) \ 1),T(y,z) \ 1,y). (x * T(y,z)) / ((T(y,z) \ 1) * T(y,z)) = R((1 / x) \ T(y,z),T(y,z) \ 1,y). x != R(y \ T(z,u),T(z,u) \ 1,z) | x = (z \ y) \ K(z,u). (x * T(y,z)) / ((T(y,z) \ 1) * T(y,z)) = (y \ (1 / x)) \ K(y,z). (x * T(y,z)) / K(y \ 1,y) = (y \ (1 / x)) \ K(y,z). (x * T(y,z)) * K(y,y \ 1) = (y \ (1 / x)) \ K(y,z). x != (y * T(z,u)) * K(z,w) | x = y * (K(z,u) * T(z,w)). (x \ (1 / y)) \ K(x,z) = y * (K(x,z) * T(x,x \ 1)). x * (K(y,z) * T(y,y \ 1)) = (y \ (1 / x)) \ K(y,z). x * ((y \ K(z,y)) \ 1) = (y \ (1 / x)) \ K(y,z). (x \ (1 / y)) \ K(x,z) = y * ((x \ K(z,x)) \ 1). (x \ (1 / y)) \ K(x,z) = y * T(T(x,x \ 1),z). K(x,(y * T(T(z,z \ 1),u)) * w) = K(x,(T(z,u) \ (1 / y)) \ w). x != K(y,(z \ (1 / u)) \ w) | x = K(y,(u * z) * w). K(x,(y * T(T(z,z \ 1),u)) * w) = K(x,(y * T(z,u)) * w). (T(x * y,z) * L(u,y,x)) \ (T(x * y,z) * u) = L(a(x,y,u),x * (y * u),K(x * y,z)). K(x * y,K(z,L(a(x,y,u),x * (y * u),K(x * y,w)))) = K(x * y,K(z,(T(x * y,w) * u) \ L(u,y,x))). (x \ 1) * (R(K(y,x),x \ K(x,y),z) * z) = (K(y,x) * (x \ 1)) * z. (x \ 1) * (R(K(y,x),x \ K(x,y),z) * z) = (T(x,y) \ 1) * z. (x \ 1) * (R(K(y,x),x \ 1,z) * z) = (T(x,y) \ 1) * z. (x \ 1) * (K(y,x) * z) = (T(x,y) \ 1) * z. T(x,y) * ((T(x,y) \ 1) * z) = L(z,x \ 1,x). x != T(y,z) * ((T(y,z) \ 1) * u) | x = L(u,T(y,z) \ 1,y). L(x,y \ 1,y) = L(x,T(y,z) \ 1,y). L(x,T(y,z) \ 1,y) = L(x,y \ 1,y). L(x,((y \ z) \ z) \ 1,(y \ z) \ z) = L(x,y \ 1,y). x * y != L(z,((u \ w) \ w) \ 1,(u \ w) \ w) | x \ L(z,u \ 1,u) = y. ((x \ y) \ y) \ L(z,x \ 1,x) = (((x \ y) \ y) \ 1) * z. K(x,L(y,z \ 1,z) \ z) = K(x,((((z \ x) \ x) \ 1) * y) \ 1). K(x,((y \ 1) * z) \ 1) = K(x,((((y \ x) \ x) \ 1) * z) \ 1). K(x,((((y \ x) \ x) \ 1) * z) \ 1) = K(x,((y \ 1) * z) \ 1). x != K(y,(((z \ y) \ 1) * u) \ w) | x = K(y,((y \ z) * u) \ w). K(x,((y \ 1) * z) \ 1) = K(x,((x \ (y \ x)) * z) \ 1). K(x,((x \ (y \ x)) * z) \ 1) = K(x,((y \ 1) * z) \ 1). x != K(y,((y \ z) * u) \ 1) | x = K(y,(z * u) \ y). K(x,((y \ 1) * z) \ 1) = K(x,((y \ x) * z) \ x). x != K(y,((z \ 1) * (z / u)) \ 1) | x = L(K(y,u),z,z \ 1). K(x,((y \ x) * (y / z)) \ x) = L(K(x,z),y,y \ 1). L(K(x,y),z,z \ x) = L(K(x,y),z,z \ 1). L(K(x,y),z,z \ 1) = L(K(x,y),z,z \ x). L(K(x,y),z,z \ x) = K(x,y). L(K(x * y,z),x,y) = K(x * y,z). K(x * y,L(z,x,y)) = K(x * y,z). x != L(K(y,(z \ u) \ w),z \ u,z) | x = K(y,u \ (z * w)). K((x \ y) * x,(x \ y) \ z) = K((x \ y) * x,y \ (x * z)). T(L(T(x,K(y,z)),K(y,z),K(u,y)),K(u,y)) = R(T(x,K(u,y) * K(y,z)),K(u,y),K(y,z)). R(T(x,K(y,z) * K(z,u)),K(y,z),K(z,u)) = T(L(T(x,K(z,u)),K(z,u),K(y,z)),K(y,z)). R(T(x,K(y,z) * K(z,u)),K(y,z),K(z,u)) = T(T(x,K(z,u)),K(y,z)). R(T(x,K(y,z) * K(z,u)),K(y,z),K(z,u)) = T(T(x,K(z,u)),K(z,y)). x != R(y,K(z,u),K(u,w)) | x = y. T(T(x,K(y,z)),K(y,u)) = T(x,K(u,y) * K(y,z)). T(T(x,K(y,z)),K(z,u)) = T(x,K(y,z) * K(z,u)). T(T(x,K(y,z)),K(y,u)) = T(x,K(y,z) * K(u,y)). T(x,K(y,z) * K(z,u)) \ x = K(x,K(z,y)) * K(x,K(z,u)). T(T(x,K(y,z)),K(z,u)) = T(x,K(z,u) * K(y,z)). T(T(x,K(y,z)),K(u,R(y,w,v5))) = T(x,K(y,z) * K(R(u,w,v5),y)). T(T(x,K(y,z)),K(y,u)) = T(x,K(y,u) * K(z,y)). x != T(T(y,K(z,u)),K(z,w)) | x = y * K(K(w,z) * K(z,u),y). T(x,K(y,z) * K(u,y)) = x * K(K(u,y) * K(y,z),x). x * K(K(y,z) * K(z,u),x) = T(x,K(z,u) * K(y,z)). T(T(x,R(K(y,z),u,w)),K(z,v5)) = T(x,K(z,v5) * K(R(y,u / y,w),z)). T(x,K(y,z) * K(R(u,w / u,v5),y)) = T(T(x,R(K(u,y),w,v5)),K(y,z)). K(K(x,y) * K(y,z),K(x,y) \ u) = T(u,K(y,z) * K(x,y)) \ u. x != T(T(y,K(z,u)),K(z,w)) | x = T(y,K(z,u) * K(w,z)). T(x,K(y,z) * K(u,y)) = T(x,K(y,u) * K(z,y)). x * K(x,K(y,z) * K(u,y)) = T(x,K(y,u) * K(z,y)). x * K(K(y,z) * K(u,y),x) = T(x,K(y,z) * K(u,y)). x * y != T(x,K(z,u) * K(w,z)) | y = K(K(w,z) * K(z,u),x). K(x,K(y,z) * K(u,y)) = K(K(z,y) * K(y,u),x). K(K(x,y) * K(y,z),u) = K(u,K(y,x) * K(z,y)). T(x,K(y,z) * K(u,y)) != w | T(x,K(y,u) * K(z,y)) = w. K(K(x,y) * K(z,x),u) = K(u,K(x,z) * K(y,x)). K(K(x,y) * K(z,x),u) = K(u,K(y,x) * K(x,z)). x * y != K(z,K(u,w) * K(w,v5)) | K(K(w,u) * K(v5,w),z) / y = x. K(K(x,y) * K(z,x),u) / (K(y,x) * K(x,z)) = 1 / T(K(y,x) * K(x,z),u). K(K(x,y) * K(z,x),u) = K(u,K(x,y) * K(z,x)). x != K(K(y,z) * K(u,y),w) | x = K(w,K(z,y) * K(y,u)). K(x,K(y,z) * K(u,y)) = K(x,K(z,y) * K(y,u)). T(T(x,K(y,z)),K(y,u)) != w | T(x,K(y,u) * K(z,y)) = w. K(K(x,y) * K(y,z),u) = K(u,K(y,x)) * K(u,K(y,z)). K(x,K(y,z)) * K(x,K(y,u)) = K(K(z,y) * K(y,u),x). x != K(K(y,z) * K(z,u),w) | x = K(w,K(z,y) * K(u,z)). K(x,K(y,z)) * K(x,K(y,u)) = K(x,K(y,z) * K(u,y)). K(x,K(y,z)) * K(x,R(K(y,u),w,v5)) = K(K(z,y) * K(y,(w * v5) / ((u \ w) * v5)),x). K(K(x,y) * K(y,(z * u) / ((w \ z) * u)),v5) = K(v5,K(y,x)) * K(v5,R(K(y,w),z,u)). x != K(y,K(z,u) * K(w,z)) | x = K(K(z,u) * K(w,z),y). K(x,K(y,z)) * K(x,K(y,u)) = K(K(y,z) * K(u,y),x). x != K(y,K(z,R(u,w,w \ y))) * K(y,K(z,u)) | x = a(K(v5,K(v6,v7)),v8,v8 \ v5). K(x,K(y,R(z,u,u \ x)) * K(z,y)) = a(K(w,K(v5,v6)),v7,v7 \ w). x != K(y,K(z,u)) * w | x = K(u,v5) * (K(z,K(u,y)) * (K(u,v5) \ w)). K(x,K(y,z) * K(u,y)) = K(z,w) * (K(y,K(z,x)) * (K(z,w) \ K(x,K(y,u)))). K(x,y) * (K(z,K(x,u)) * (K(x,y) \ K(u,K(z,w)))) = K(u,K(z,x) * K(w,z)). K(x,K(y,z)) * K(x,K(z,u)) = K(x,K(z,y) * K(u,z)). x != K(y,K(z,u) * K(w,z)) | x = K(y,K(u,z) * K(z,w)). K(x,K(y,z)) * K(x,K(z,u)) = K(x,K(y,z) * K(z,u)). x != T(T(y,K(z,u)),K(u,w)) | x = T(y,K(z,u) * K(u,w)). T(x,K(y,z) * K(R(z,u,w),y)) = T(x,K(y,z) * K(z,R(y,u,w))). K(K(x,y) * K(y,z),K(x,y) \ u) = K(K(y,z) * K(x,y),u). K(K(x,y) * K(y,z),K(y,x) * u) = K(K(y,z) * K(x,y),u). x != K(K(y,z) * K(u,y),w) | x = K(w,K(y,z) * K(u,y)). K(K(x,y) * K(y,z),K(y,x) * u) = K(u,K(y,z) * K(x,y)). x != a(K(y,z),u,u \ y) | x = 1. K(x,K(y,R(z,u,u \ x)) * K(z,y)) = 1. K(x,K(y,z) * K(z,R(y,u,u \ x))) = 1. K(x * y,K(z,u) * K(u,R(z,x,y))) = 1. T(x,K(y,R(z,u,w)) * K(z,y)) = T(x,K(y,z) * K(z,R(y,u,w))). T(x,K(y,R(z,u,w)) * K(z,y)) = x * K(x,K(y,z) * K(z,R(y,u,w))). x * K(x,K(y,z) * K(z,R(y,u,w))) = T(x,K(y,R(z,u,w)) * K(z,y)). T(x,K(y,z) * K(R(u,w / u,v5),y)) = T(T(x,K(y,R(u,w,v5))),K(y,z)). K(x,K(y,z) * K(z,R(y,u,w))) = K(x,K(y,R(z,u,w)) * K(z,y)). K(x,K(y,R(z,u,w)) * K(z,y)) = K(x,K(y,z) * K(z,R(y,u,w))). x != T(T(y,K(z,u)),K(z,w)) | x = T(y,K(z,w) * K(u,z)). T(x,K(y,z) * K(R(u,w / u,v5),y)) = T(x,K(y,z) * K(R(u,w,v5),y)). T(x,K(y,z) * R(K(u,y),w,v5)) = T(x,K(y,z) * K(R(u,w,v5),y)). x != T(y,K(z,u) * K(w,z)) | x = T(y,K(z,w) * K(u,z)). T(x,K(y,z) * R(K(u,y),w,v5)) = T(x,K(y,R(u,w,v5)) * K(z,y)). T(x,K(y,R(z,u,w)) * K(v5,y)) = T(x,K(y,v5) * R(K(z,y),u,w)). x != y / (K(z,u) * K(u,w)) | x = y * (K(w,u) * K(u,z)). 1 / T(K(x,y) * K(y,z),u) = K(K(y,x) * K(z,y),u) * (K(z,y) * K(y,x)). K(K(x,y) * K(z,x),u) * (K(z,x) * K(x,y)) = 1 / T(K(y,x) * K(x,z),u). K(x,y) * (K(z,K(x,u)) * (K(x,y) \ K(z,K(u,w)))) = K(u,K(z,x) * K(w,z)). K(K(x,y),K(y,z)) * T(K(y,z) * K(x,y),u) = 1 / T(K(z,y) * K(y,x),u). K(x,K(y,z)) * K(x,K(z,u)) = K(z,K(x,y) * K(u,x)). K(x,K(y,z)) * K(y,K(z,u)) = K(z,K(y,x) * K(u,y)). 1 * T(K(x,y) * K(z,x),u) = 1 / T(K(y,x) * K(x,z),u). 1 / T(K(x,y) * K(y,z),u) = 1 * T(K(y,x) * K(z,y),u). 1 / T(K(x,y) * K(y,z),u) = T(K(y,x) * K(z,y),u). 1 / T(K(x,y) * K(y,z),u) = T(K(z,y) * K(y,x),u). 1 / T(K(x,y) * K(z,x),u) = T(K(y,x) * K(x,z),u). T(K(x,y) * K(y,z),u) \ 1 != w | w = T(K(y,x) * K(z,y),u). T(K(x,y) * K(y,z),u) \ 1 != w | T(K(y,x) * K(z,y),u) = w. K(K(x,y) * K(y,(z * u) / ((w \ z) * u)),v5) = K(v5,K(y,x)) * K(v5,K(y,R(w,z,u))). x != K(y,K(z,u)) * K(y,K(z,w)) | x = K(K(u,z) * K(z,w),y). K(K(x,y) * K(y,(z * u) / ((w \ z) * u)),v5) = K(K(x,y) * K(y,R(w,z,u)),v5). K(K(x,y) * R(K(y,z),u,w),v5) = K(K(x,y) * K(y,R(z,u,w)),v5). T(x / R(y * K(z,y),u,y),T(R((z * y) / z,u,y),y)) = ((R((z * y) / z,u,y) \ y) \ y) \ x. T((x / R(y,z,y)) * K(y,u),T(R((u * y) / u,z,y),y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. T((x / R(y,z,y)) * K(y,u),R(T((u * y) / u,y),z,y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. T((x / R(y,z,y)) * K(y,u),R((u * y) / u,z,y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. x != T(y,R((z * u) / z,w,v5)) | x = T(y,R(z / (z / u),w,v5)). ((R((x * y) / x,z,y) \ y) \ y) \ u = T((u / R(y,z,y)) * K(y,x),R(x / (x / y),z,y)). T((x / R(y,z,y)) * K(y,u),R(u / (u / y),z,y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. x != T(y,R(z / (z / u),w,u)) | x = T(y,z / (z / u)). ((R((x * y) / x,z,y) \ y) \ y) \ u = T((u / R(y,z,y)) * K(y,x),x / (x / y)). T((x / R(y,z,y)) * K(y,u),u / (u / y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. x != T(y * K(z,u),u / (u / z)) | x = ((u * z) / u) \ (y * z). ((R((x * y) / x,z,y) \ y) \ y) \ u = ((x * y) / x) \ ((u / R(y,z,y)) * y). ((R((x * y) / x,z,y) \ y) \ y) \ u = ((x * y) / x) \ (y * (R(y,z,y) \ u)). x != ((y * z) / y) \ (z * u) | x = T(z,y) * (z \ u). ((R((x * y) / x,z,y) \ y) \ y) \ u = T(y,x) * (y \ (R(y,z,y) \ u)). ((x \ L(T(x,y),z,x)) \ x) \ u = T(x,y) * (x \ (R(x,z,x) \ u)). R(x * K(y,x),z,x) \ u = T(x,y) * (x \ (R(x,z,x) \ u)). T(x,y) * (x \ (R(x,z,x) \ u)) = R(x * K(y,x),z,x) \ u. R(x * K(y,x),z,x) \ u != w | K(x,y) * (R(x,z,x) \ u) = w. L(x \ 1,x,y) * L(L(x \ 1,x,y) \ 1,z,u) = L((x \ 1) * L((x \ 1) \ 1,z,u),T(x,w),y). L((x \ 1) * L((x \ 1) \ 1,y,z),T(x,u),w) = L(x \ 1,x,w) * L(L(x \ 1,x,w) \ 1,y,z). x != L(y,z,u) * L(L(y,z,u) \ 1,w,v5) | x = L(y * L(y \ 1,w,v5),z,u). L((x \ 1) * L((x \ 1) \ 1,y,z),T(x,u),w) = L((x \ 1) * L((x \ 1) \ 1,y,z),x,w). L((x \ 1) * L((x \ 1) \ 1,y,z),T(x,u),w) = L(x \ L(x,y,z),x,w). L(x \ L(x,y,z),T(x,u),w) = L(x \ L(x,y,z),x,w). a(x,T(y,z),K(u,y \ L(y,w,v5))) * K(u,L(y \ L(y,w,v5),y,x)) = K(u,y \ L(y,w,v5)). K(x,K((y * z) * u,u \ L(u,z,y))) = K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))). K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))) = K(x,K((y * z) * u,u \ L(u,z,y))). K(R(x \ (x * y),z,u),R(y / w,w,K(x,y)) \ (x \ (x * y))) = K(R(y,z,u),w * K(x,y)). x != K(R(y,z,u),w * K(v5,y)) | x = K(R(y,z,u),w). K(R(x \ (x * y),z,u),R(y / w,w,K(x,y)) \ (x \ (x * y))) = K(R(y,z,u),w). K(R(x,y,z),R(x / u,u,K(w,x)) \ (w \ (w * x))) = K(R(x,y,z),u). K(R(x,y,z),R(x / u,u,K(w,x)) \ x) = K(R(x,y,z),u). K(R(x,y,z),R(x / u,u,L(K(w,x),v5,v6)) \ x) = K(R(x,y,z),u). (x * L(y,x,y)) / T(T(x,y),L(T(y,x),z,u)) = T(y,x * y) * a(u,z,K(T(x,y),T(y,x * y))). (x * L(y,x,y)) / T(T(x,L(y,z,u)),y) = T(y,x * y) * a(u,z,K(T(x,y),T(y,x * y))). T(x,y * x) * a(z,u,K(T(y,x),T(x,y * x))) = (y * L(x,y,x)) / T(T(y,L(x,u,z)),x). T(x,y * x) * a(z,u,K(T(y,x),T(x,y * x))) = (y * L(x,y,x)) / T(T(y,x),L(x,u,z)). x != (y * L(z,u,z)) / T(T(y,z),w) | x = K(w,y) * L(z,u,z). T(x,y * x) * a(z,u,K(T(y,x),T(x,y * x))) = K(L(x,u,z),y) * L(x,y,x). T(x,y * x) * a(z,u,K(T(y,x),T(x,y * x))) = K(x,L(y,u,z)) * L(x,y,x). x != K(y,z) * L(y,u,y) | x = L(T(y,z),u,y). T(x,y * x) * a(z,u,K(T(y,x),T(x,y * x))) = L(T(x,L(y,u,z)),y,x). T(x,y * x) * a(z,u,K(T(y,x),T(x,y))) = L(T(x,L(y,u,z)),y,x). T(x,y * x) * a(z,u,K(y,x)) = L(T(x,L(y,u,z)),y,x). x != T(y,z * y) * a(u,w,K(z,y)) | x = L(K(z * y,y),w,u) \ T(y,K(z * y,y)). L(T(x,L(y,z,u)),y,x) = L(K(y * x,x),z,u) \ T(x,K(y * x,x)). L(K(x * y,y),z,u) \ T(y,K(x * y,y)) = L(T(y,L(x,z,u)),x,y). K(x * y,L(y,z,u)) \ T(y,K(x * y,y)) = L(T(y,L(x,z,u)),x,y). K(x * y,L(y,z,u)) \ y = L(T(y,L(x,z,u)),x,y). L(T(x,L(y,z,u)),y,x) = K(y * x,L(x,z,u)) \ x. L(T(x,L(y,z,u)),y,x) = K(L(x,z,u),y * x) * x. L(T(x,L(y,z,u)),y,x) = K(x,L(y * x,z,u)) * x. L(T(x,L(y,z,u)),y,x) = T(x,L(y * x,z,u)). T((1 / x) * R((1 / x) \ 1,y,z),R(x,u,w) \ x) = (1 / x) * R((1 / x) \ 1,y,z). T((1 / x) * R((1 / x) \ 1,y,z),R(x,u,w) \ x) = (1 / x) * R(x,y,z). x != (1 / y) * R(y,z,u) | x = y \ R(y,z,u). T((1 / x) * R((1 / x) \ 1,y,z),R(x,u,w) \ x) = x \ R(x,y,z). T((1 / x) * R(x,y,z),R(x,u,w) \ x) = x \ R(x,y,z). T(x \ R(x,y,z),R(x,u,w) \ x) = x \ R(x,y,z). ((x \ R(x,y,z)) \ 1) \ 1 = x \ R(x,y,z). T(R(x \ R(x,y,z),x,y * z),x * (y * z)) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. T((x * (y * z)) \ (R(x,y,z) * (y * z)),x) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. T((x * (y * z)) \ ((x * y) * z),x) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. T(a(x,y,z),x) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1 = T(a(x,y,z),x). x != T(a(y,z,u),y) | x = a(y,z,u). (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1 = a(x,y,z). a(x,y,z) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. a(x,y,z) = (a(x,y,z) \ 1) \ 1. (a(x,y,z) \ 1) \ 1 = a(x,y,z). 1 / a(x,y,z) = a(x,y,z) \ 1. x * (1 / (a(y,z,u) * x)) = K(x,x \ 1) * (a(y,z,u) \ 1). K(x,x \ 1) * (a(y,z,u) \ 1) = x * (1 / (a(y,z,u) * x)). (a(x,y,R(x,z,u)) \ 1) \ 1 = a(R(x,z,u),y,x). (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)) = 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)). x * (1 / (a(y,z,u) * x)) != K(x,x \ 1) * w | a(y,z,u) \ 1 = w. K(x,x \ 1) * y != x * (1 / (a(z,u,w) * x)) | a(z,u,w) \ 1 = y. K(x,((((y \ 1) \ K(z,u)) * K(u,z)) * w) \ v5) = K(x,(w \ ((((K(u,z) \ y) \ 1) \ 1) \ K(z,u))) * v5). K(x,(y \ ((((K(z,u) \ w) \ 1) \ 1) \ K(u,z))) * v5) = K(x,((((w \ 1) \ K(u,z)) * K(z,u)) * y) \ v5). K(x,(y \ ((((K(z,u) \ w) \ 1) \ 1) \ K(u,z))) * v5) = K(x,(((w \ 1) \ 1) * y) \ v5). x != K(y,((z \ 1) * u) \ w) | x = K(y,(u \ z) * w). K(x,(y \ ((((K(z,u) \ w) \ 1) \ 1) \ K(u,z))) * v5) = K(x,(y \ (w \ 1)) * v5). K(x,(y \ ((((K(z,u) \ w) \ 1) \ 1) \ K(u,z))) * v5) = K(x,(w * y) \ v5). K(x,(y \ (((z \ K(u,w)) \ 1) \ K(w,u))) * v5) = K(x,(z * y) \ v5). x != T(y,R(z \ K(u,u \ 1),w,v5)) | x = T(y,R(z \ 1,w,v5)). T(x,R(T(y / T(z \ 1,u),K(z,z \ 1)),w,v5)) = T(x,R(((y / T(1 / z,u)) \ 1) \ 1,w,v5)). x != T(y,R((z \ 1) \ 1,u,w)) | x = T(y,R(z,u,w)). T(x,R(T(y / T(z \ 1,u),K(z,z \ 1)),w,v5)) = T(x,R(y / T(1 / z,u),w,v5)). T(x,R(y / T(z \ 1,u),w,v5)) = T(x,R(y / T(1 / z,u),w,v5)). T(x,R(y / T(1 / z,u),w,v5)) = T(x,R(y / T(z \ 1,u),w,v5)). a(x,K(x,y) * z,R(x,u,w)) = x \ (v5 \ ((R(x,z,R(x,u,w)) * (x \ v5)) * x)). a(T(x,y),z,R(x,u,w)) = x \ (v5 \ ((R(x,z,R(x,u,w)) * (x \ v5)) * x)). a(T(x,y),z,R(x,u,w)) = x \ (v5 \ ((x * (x \ v5)) * R(x,z,R(x,u,w)))). a(T(x,y),z,R(x,u,w)) = x \ (v5 \ (v5 * R(x,z,R(x,u,w)))). a(T(x,y),z,R(x,u,w)) = x \ R(x,z,R(x,u,w)). x != y \ R(y,z,R(y,u,w)) | x = a(y,z,R(y,u,w)). a(T(x,y),z,R(x,u,w)) = a(x,z,R(x,u,w)). x != a(T(y,z),T(y,z) \ u,R(y,w,v5)) | x = a(y,y \ u,R(y,w,v5)). a(x,T(x,y) \ z,R(x,u,w)) = a(x,x \ z,R(x,u,w)). 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)). T(x,x * K((y * z) \ (u * w),w)) \ T(K(w,(y * z) \ (u * w)) * x,x) = K(w,T((y * (w \ z)) \ u,x)). K(x,T((y * (x \ z)) \ u,w)) = K(x,T((y * z) \ (u * x),w)). K(x,y / (z * (x \ u))) = K(x,T((z * u) \ (y * x),z * u)). K(x,T((y * z) \ (u * x),y * z)) = K(x,u / (y * (x \ z))). K(x,(y * x) / (z * u)) = K(x,y / (z * (x \ u))). K(x,((y * z) / u) \ x) = K(x,u / (y * (x \ z))). K(x,y / (z * (x \ u))) = K(x,((z * u) / y) \ x). R(K(x,((y * z) / (u / w)) \ x),w \ u,w) = K(x,u / ((y * (x \ z)) * w)). x != R(K(y,(z / (u / w)) \ y),w \ u,w) | x = K(y,u / ((y \ z) * w)). K(x,y / ((z * (x \ u)) * w)) = K(x,y / ((x \ (z * u)) * w)). K(x,y / ((x \ (z * u)) * w)) = K(x,y / ((z * (x \ u)) * w)). K(x,(((y * z) * u) / w) \ x) = K(x,w / ((y * (x \ z)) * u)). K(x,y / ((z * (x \ u)) * w)) = K(x,(((z * u) * w) / y) \ x). x != K(y,(z * u) / ((w * (y \ z)) * u)) | x = R(K(y,w \ y),z,u). K(x,(((y * z) * u) / (z * u)) \ x) = R(K(x,y \ x),z,u). K(x,R(y,z,u) \ x) = R(K(x,y \ x),z,u). R(K(x,y \ x),z,u) = K(x,R(y,z,u) \ x). R(K(x,R(1 / y,y,z) \ x),y * z,u) = K(x,((z * u) / ((y * z) * u)) \ x). R(K(x,y),z,u) = K(x,R(y \ x,z,u) \ x). K(x,R(y \ x,z,u) \ x) = R(K(x,y),z,u). R(K(x,x * y),z,u) = K(x,R(y \ 1,z,u) \ x). K(x,R(y \ 1,z,u) \ x) = R(K(x,x * y),z,u). R(K(x,R(y \ x,z,u) \ x),w,v5) = K(x,R(R(x / y,z,u),w,v5) \ x). K(x,R(1 / y,z,u) \ x) = R(K(x,x * y),z,u). R(R(K(x,y),z,u),w,v5) = K(x,R(R(x / y,z,u),w,v5) \ x). K(x,R(R(x / y,z,u),w,v5) \ x) = R(R(K(x,y),z,u),w,v5). R(K(x,R(y \ 1,y,z) \ x),y * z,u) = K(x,((z * u) / ((y * z) * u)) \ x). ((x / y) * (y / x)) * ((x / y) \ 1) = R(1 / (x / y),x / y,(x / y) \ T(x,x \ y)). R(1 / (x / y),x / y,(x / y) \ T(x,x \ y)) = ((x / y) * (y / x)) * ((x / y) \ 1). x != ((y / z) * (z / y)) * ((y / z) \ 1) | x = z / y. R(1 / (x / y),x / y,(x / y) \ T(x,x \ y)) = y / x. R(1 / (x / y),x / y,x * (y / x)) = y / x. ((x / y) \ (1 / (y / x))) * R(1 / (y / x),y / x,y * (x / y)) = 1 / (y / x). ((x / y) \ (1 / (y / x))) * (x / y) = 1 / (y / x). T(x / y,(x / y) \ (1 / (y / x))) = x / y. x != T(y,z \ (1 / u)) | x = T(y,z \ (u \ 1)). x / y = T(x / y,(x / y) \ ((y / x) \ 1)). T(x / y,(x / y) \ ((y / x) \ 1)) = x / y. ((x / y) \ ((y / x) \ 1)) * (x / y) = (y / x) \ 1. T(L(x,y,y \ 1),y) \ ((1 / y) \ T(L(x,y,y \ 1),(1 / y) \ 1)) = L(x,y,y \ 1) \ (y * x). L(T(x,y),y,y \ 1) \ ((1 / y) \ T(L(x,y,y \ 1),(1 / y) \ 1)) = L(x,y,y \ 1) \ (y * x). ((1 / x) * (y * x)) \ ((1 / x) \ T(L(y,x,x \ 1),(1 / x) \ 1)) = L(y,x,x \ 1) \ (x * y). ((1 / x) * (y * x)) \ ((1 / x) \ T(L(y,x,x \ 1),x)) = L(y,x,x \ 1) \ (x * y). ((1 / x) * (y * x)) \ ((1 / x) \ L(T(y,x),x,x \ 1)) = L(y,x,x \ 1) \ (x * y). ((1 / x) * (y * x)) \ ((1 / x) \ ((1 / x) * (y * x))) = L(y,x,x \ 1) \ (x * y). ((1 / x) * (y * x)) \ (y * x) = L(y,x,x \ 1) \ (x * y). (L(x,y,y \ 1) \ (y * x)) \ 1 = 1 / R(T(y,x),y \ 1,x * y). 1 / R(T(x,y),x \ 1,y * x) = (L(y,x,x \ 1) \ (x * y)) \ 1. ((L(x,y,y \ 1) \ (y * x)) \ 1) \ 1 = R(T(y,x),y \ 1,x * y). x != ((L(y,z,z \ 1) \ (z * y)) \ 1) \ 1 | x = ((z \ 1) * (z * y)) \ (z * y). R(T(x,y),x \ 1,y * x) = ((x \ 1) * (x * y)) \ (x * y). ((x \ 1) * (x * y)) \ (x * y) = R(T(x,y),x \ 1,y * x). L(x,K(y,z) * K(y,u),(K(y,z) * K(y,u)) \ 1) = ((K(y,z) * K(y,u)) \ 1) * ((K(y,z) * K(y,u)) * x). ((K(x,y) * K(x,z)) \ 1) * ((K(x,y) * K(x,z)) * u) = L(u,K(x,y) * K(x,z),(K(x,y) * K(x,z)) \ 1). ((K(x,y) * K(x,z)) \ 1) * ((K(x,y) * K(x,z)) * u) = L(u,K(x,y) * K(x,z),K(y,x) * K(z,x)). (K(x,y) * K(z,y)) * ((K(y,x) * K(y,z)) * u) = L(u,K(y,x) * K(y,z),K(x,y) * K(z,y)). (K(x,y / z) * K(x,K(u,z \ y))) / T(K(x,z \ y),u) = R(K(x,K(z,y)),K(x,z \ y),K(K(x,z \ y),u)). K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = (u * K(z,x)) \ ((K(x,y) * K(z,x)) * (u * K(y,x))). (x * (y * (K(y,z) * (y \ u)))) * K(z,L(y,K(z,y) \ (y \ u),x)) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). (R(T(x,y),z,x) \ T(x,u)) * K(x \ L(T(x,u),z,x),R(x,z,x)) = T(T(x,u) / T(R(x,z,x),y),R(x,z,x)). L(T(x,y),z,u) \ (L(x,z,u) * (y * K(x,w))) = T(y * K(x,w),L(L(T(x,y),z,u),K(x,w),y)). T(x * K(y,z),L(L(T(y,x),u,w),K(y,z),x)) = L(T(y,x),u,w) \ (L(y,u,w) * (x * K(y,z))). x != L(T(y,z),u,w) \ (L(y,u,w) * v5) | x = K(z,L(y,u,w)) * v5. T(x * K(y,z),L(L(T(y,x),u,w),K(y,z),x)) = K(x,L(y,u,w)) * (x * K(y,z)). x != K(y,z) * (y * u) | x = T(y,z) * u. T(x * K(y,z),L(L(T(y,x),u,w),K(y,z),x)) = T(x,L(y,u,w)) * K(y,z). T(x * K(y,z),L(T(y,x),u,w)) = T(x,L(y,u,w)) * K(y,z). x != T(y * K(z,u),L(T(z,y),w,v5)) | x = T(y * K(z,u),L(z,w,v5)). T(x,L(y,z,u)) * K(y,w) = T(x * K(y,w),L(y,z,u)). T(x * K(y,z),L(y,u,w)) = T(x,L(y,u,w)) * K(y,z). x != T(y,L(z,u,w)) * K(z,y) | x = y * a(w,u,K(z,y)). T(x * K(y,x),L(y,z,u)) = x * a(u,z,K(y,x)). T(x * a(y,z,K(u,x)),u) = T(x,L(u,z,y)). T(x * a(y,z,K(u,x)),x * u) = L(T(x,L(u,z,y)),u,x). x != L(T(y,L(z,u,w)),z,y) | x = T(y,L(z * y,u,w)). T(x * a(y,z,K(u,x)),x * u) = T(x,L(u * x,z,y)). K(((x \ y) \ 1) * z,x / y) * K((x \ y) \ 1,T(z,T(x,y))) = a((x \ y) \ 1,z,(x \ y) \ 1). K((x \ y) \ z,x / y) * K((x \ y) \ 1,T(z,T(x,y))) = a((x \ y) \ 1,z,(x \ y) \ 1). K((x \ y) \ z,x / y) * K(y \ x,T(z,T(x,y))) = a((x \ y) \ 1,z,(x \ y) \ 1). K((x \ y) \ z,x / y) * K(x / y,z) = a((x \ y) \ 1,z,(x \ y) \ 1). R(K(x,K(y,z)) * K(y,K(z,R(x,u,w))),K(K(y,z),v5),v6) * v7 = K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * v7). x != K(y,K(z,L(u,w,K(y,v5)))) | x = K(z,K(y,u)). K(x * y,K(z,(T(x * y,u) * w) \ L(w,y,x))) = K(z,K(x * y,a(x,y,w))). K(x,K(y * z,(T(y * z,u) * w) \ L(w,z,y))) = K(x,K(y * z,a(y,z,w))). K(x,K(y * z,u \ ((y * z) \ L(u,z,y)))) = K(x,K(y * z,a(y,z,u))). x != K(y,K(z,u \ (z \ w))) | x = K(y,K(z,u \ w)). K(x,K(y * z,a(y,z,u))) = K(x,K(y * z,u \ L(u,z,y))). K(x,K(y * z,u \ L(u,z,y))) = K(x,K(y * z,a(y,z,u))). (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)). a(x,T(x,y) \ y,R(x,z,u)) = a(x,x \ y,R(T(x,y),z,u)). x != a(y,T(y,z) \ u,R(y,w,v5)) | x = a(y,y \ u,R(y,w,v5)). a(x,x \ y,R(T(x,y),z,u)) = a(x,x \ y,R(x,z,u)). x != a(y,y \ z,R(T(y,z),u,w)) | x = a(R(y,u,w),R(y,u,w) \ z,T(R(y,u,w),z)). a(x,x \ y,R(x,z,u)) = a(R(x,z,u),R(x,z,u) \ y,T(R(x,z,u),y)). a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)) = a(x,x \ u,R(x,y,z)). a(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = a(x,x \ u,R(x,y,z)). x * a(y,y \ (z * y),R(y,u,w)) = (x / R(y,u,w)) * R(R(y,z,y),u,w). (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,y \ (w * y),R(y,z,u)). (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,T(w,y),R(y,z,u)). (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,w,R(y,z,u)). x != (y / R(z,u,w)) * R(R(z,v5,z),u,w) | x = y * a(R(z,u,w),v5,L(R(z,u,w),v6,v7)). x * a(y,z,R(y,u,w)) = x * a(R(y,u,w),z,L(R(y,u,w),v5,v6)). x * a(R(y,z,u),w,L(R(y,z,u),v5,v6)) = x * a(y,w,R(y,z,u)). x * a(R(y,z,u),w,R(y,z,u)) = x * a(y,w,R(y,z,u)). a(R(x,y,z),u,R(x,y,z)) = a(x,u,R(x,y,z)). R(a(x,y,x),x * z,u) = a(x,y,R(x,z,u)). x != a(R(y,z,u),R(y,z,u) \ w,R(y,z,u)) | x = a(y,y \ w,R(y,z,u)). a(x,R(x,y,z) \ u,R(x,y,z)) = a(x,x \ u,R(x,y,z)). R(a(x,y,x),z,u) = a(x,y,R(x,x \ z,u)). a(x,y,R(x,x \ z,u)) = R(a(x,y,x),z,u). x * R(a(x,y,x),z,u) = R(x,y,R(x,x \ z,u)). R(x,y,R(x,x \ z,u)) = x * R(a(x,y,x),z,u). T(x,y) * R(a(x,z,x),u,w) = R(T(x,y),z,R(x,x \ u,w)). R(T(x,y),z,R(x,x \ u,w)) = T(x,y) * R(a(x,z,x),u,w). x != R(T(y,z),u,R(T(y,z),w,v5)) | x = R(T(y,z),u,R(y,w,v5)). T(x,y) * R(a(T(x,y),z,T(x,y)),u,w) = R(T(x,y),z,R(x,T(x,y) \ u,w)). a(x,x \ y,R(x,z,u)) * K(x,y) = K(x,R(x,z,u) \ y). x != a(y,z \ u,w) * K(z,u) | x = K(z,u) * a(y,z \ u,w). K(x,R(x,y,z) \ u) = K(x,u) * a(x,x \ u,R(x,y,z)). K(x,y) * a(x,x \ y,R(x,z,u)) = K(x,R(x,z,u) \ y). T(x,y) * R(a(x,z,x),u,w) = R(T(x,y),z,R(x,T(x,y) \ u,w)). R(T(x,y),z,R(x,T(x,y) \ u,w)) = T(x,y) * R(a(x,z,x),u,w). x != T(y,z) * R(a(y,u,y),w,v5) | x = R(T(y,z),u,R(y,y \ w,v5)). R(T(x,y),z,R(x,T(x,y) \ u,w)) = R(T(x,y),z,R(x,x \ u,w)). (R(T(x,y),z,T(x,y)) * (T(x,y) \ u)) * w = (R(T(x,y),z,R(x,x \ u,w)) * (T(x,y) \ u)) * w. K(x,T(y / z,T(u,z))) / T(K(x,z \ y),u) = R(K(x,K(z,y)),K(x,z \ y),K(K(x,z \ y),u)). R(K(x,K(y,z)),K(x,y \ z),K(K(x,y \ z),u)) = K(x,T(z / y,T(u,y))) / T(K(x,y \ z),u). R(K(x,K(y,z)),K(x,y \ z),K(K(x,y \ z),u)) = K(x,T(z / y,T(u,y))) / K(x,T(y \ z,u)). x != y / K(z,T(u,w)) | x = y * K(u,T(z,w)). R(K(x,K(y,z)),K(x,y \ z),K(K(x,y \ z),u)) = K(x,T(z / y,T(u,y))) * K(y \ z,T(x,u)). R(K(x,K(y,z)),K(x,z \ y),K(K(x,z \ y),u)) = K(x,T(y / z,T(u,z))) * K(z \ y,T(x,u)). x != R(y,z,K(z,u)) | x = y. K(x,T(y / z,T(u,z))) * K(z \ y,T(x,u)) = K(x,K(y,z)). K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = (u * K(z,x)) \ (K(x,y) * (K(z,x) * (u * K(y,x)))). (x * (K(y,z) * u)) * K(z,L(y,K(z,y) \ (y \ u),x)) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). (x * (K(y,z) * u)) * K(z,L(y,K(y,z) * (y \ u),x)) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). (x * (K(y,z) * u)) * K(z,L(y,y \ u,x)) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * (((K(y,z) * (u / y)) * K(z,y)) * y). (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * (T(u / y,K(y,z)) * y). (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * T((u / y) * y,K(y,z)). (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * T(u,K(y,z)). ((x * (K(y,z) * u)) / (x * T(u,K(y,z)))) \ T(x * (K(y,z) * u),L(K(z,y),u,x)) = T(x * (K(y,z) * u),L(K(z,y),u,x)) * L(K(z,y),u,x). (R(T(x,y),z,x) \ T(x,u)) * K(x \ L(T(x,u),z,x),x) = T(T(x,u) / T(R(x,z,x),y),R(x,z,x)). (R(T(x,y),z,x) \ T(x,u)) * 1 = T(T(x,u) / T(R(x,z,x),y),R(x,z,x)). T(T(x,y) / T(R(x,z,x),u),R(x,z,x)) = (R(T(x,u),z,x) \ T(x,y)) * 1. T(T(x,y) / T(R(x,z,x),u),R(x,z,x)) = R(T(x,u),z,x) \ T(x,y). x != T(T(y,z) / T(R(y,u,y),w),R(y,u,y)) | x = T(y,w) \ L(T(y,z),u,y). R(T(x,y),z,x) \ T(x,u) = T(x,y) \ L(T(x,u),z,x). R(K(x,K(y,z) * K(R(z,u,w),y)),K(K(y,x),v5),v6) * v7 = K(z,K(y,x)) * (R(K(K(y,x),z),u,w) * v7). K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = (u * K(z,x)) \ T(K(z,x) * u,K(x,y)). x != (y * z) \ T(z * y,u) | x = K(z,y) * K(z * y,u). K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = K(K(z,x),u) * K(K(z,x) * u,K(x,y)). K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = K(u,K(z,x)) * K(K(z,x) * u,K(x,y)). K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = K(u,K(z,x)) * K(u,K(x,y)). x != K(y,K(z,u)) * K(y,K(u,w)) | x = K(y,K(z,u) * K(u,w)). K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = K(u,K(z,x) * K(x,y)). K(K(x,y) * K(z,x),R(u * K(y,x),K(x,y),K(z,x))) = K(u,K(z,x) * K(x,y)). K(K(x,y) * K(z,x),u * K(y,x)) = K(u,K(z,x) * K(x,y)). (K(x,y) * K(z,x)) \ K(u,K(z,x) * K(x,y)) = K(x,T(z,u)) * K(y,T(x,u)). ((x * ((y * x) \ y)) \ 1) * T(x,z) = T(x,z) / (x * ((y * x) \ y)). x != y / (z * ((u * z) \ u)) | x = (z * ((u * z) \ u)) \ y. ((x * ((y * x) \ y)) \ 1) * T(x,z) = (x * ((y * x) \ y)) \ T(x,z). K(x,y) * ((K(x,y) \ z) * L(T(K(x,u),K(x,y) \ z),w,v5)) = z * L(T(K(x,u),z),w,v5). K(x,y) * ((K(x,y) \ z) * L(T(K(x,u),K(x,y) \ z),w,v5)) = L(K(x,u),w,v5) * z. K(x,y) * (L(K(x,z),u,w) * (K(x,y) \ v5)) = L(K(x,z),u,w) * v5. K(x,y) * (L(K(x,z),u,w) * (K(y,x) * v5)) = L(K(x,z),u,w) * v5. K(x,y) * (L(K(y,z),u,w) * v5) = L(K(y,z),u,w) * (K(x,y) * v5). L(K(x,y),z,u) * (K(w,x) * v5) = K(w,x) * (L(K(x,y),z,u) * v5). K(x,y) * (L(K(x,z),u,w) * (K(y,x) * L(L(K(x,z),u,w) \ 1,v5,v6))) = L(K(x,z) * L(K(x,z) \ 1,v5,v6),u,w). K(x,y) * (L(K(x,z),u,w) * (K(y,x) * v5)) != v6 | v6 = L(K(x,z),u,w) * v5. K(x,y) * (L(K(x,z),u,w) * (K(y,x) * v5)) != v6 | L(K(x,z),u,w) * v5 = v6. ((x \ y) * ((y \ 1) * z)) \ K(x \ 1,(x \ 1) \ 1) = L(z,y \ 1,x \ y) \ (1 / ((x \ y) * (y \ 1))). L(x,y \ 1,z \ y) \ (1 / ((z \ y) * (y \ 1))) = ((z \ y) * ((y \ 1) * x)) \ K(z \ 1,(z \ 1) \ 1). L(x,y \ 1,z \ y) \ (1 / ((z \ y) * (y \ 1))) = ((z \ y) * ((y \ 1) * x)) \ K(z \ 1,z). L(x,y \ 1,z \ y) \ z = ((z \ y) * ((y \ 1) * x)) \ K(z \ 1,z). ((x \ y) * ((y \ 1) * z)) \ K(x \ 1,x) = L(z,y \ 1,x \ y) \ x. x != y \ K(z \ 1,z) | x = (y \ (z \ 1)) * z. L(x,y \ 1,z \ y) \ z = (((z \ y) * ((y \ 1) * x)) \ (z \ 1)) * z. (((x \ y) * ((y \ 1) * z)) \ (x \ 1)) * x = L(z,y \ 1,x \ y) \ x. (((x \ y) * K(z \ (y \ 1),(y \ 1) \ z)) \ (x \ 1)) * x = L((z \ 1) * (z / (y \ 1)),y \ 1,x \ y) \ x. (((x \ y) * K(z \ (y \ 1),y * z)) \ (x \ 1)) * x = L((z \ 1) * (z / (y \ 1)),y \ 1,x \ y) \ x. K(x * y,y \ (x \ 1)) * (((z \ x) \ (z \ 1)) * z) = L((y \ 1) * (y / (x \ 1)),x \ 1,z \ x) \ z. K(x * y,y \ (x \ 1)) * ((x \ 1) * z) = L((y \ 1) * (y / (x \ 1)),x \ 1,z \ x) \ z. L((x \ 1) * (x / (y \ 1)),y \ 1,z \ y) \ z = K(y * x,x \ (y \ 1)) * ((y \ 1) * z). L((x \ 1) * ((1 / x) \ y),y \ 1,z \ y) \ z = K(y * x,x \ (y \ 1)) * ((y \ 1) * z). L(K(x \ 1,x) * y,y \ 1,z \ y) \ z = K(y * x,x \ (y \ 1)) * ((y \ 1) * z). T(T(x,y) / (T(y,x) \ x),y * (x / T(y,x))) = L((y \ x) \ x,T(y,x) \ x,(y \ x) \ x). T(x,x * (y / T(x,y))) = L((x \ y) \ y,T(x,y) \ y,(x \ y) \ y). L((x \ y) \ y,T(x,y) \ y,(x \ y) \ y) = T(x,x * (y / T(x,y))). x != T(y,y * (z / T(y,u))) | x = T(y,z). L((x \ y) \ y,T(x,y) \ y,(x \ y) \ y) = T(x,y). (K(x,y) * z) * R((K(x,y) * z) \ (T(T(x,y),T(u,y)) * z),w,v5) = (R(T(x,u),w,v5) * K(x,y)) * z. x != (y * z) * R((y * z) \ (u * z),w,v5) | x = (y * R(y \ u,w,v5)) * z. (R(T(x,y),z,u) * K(x,w)) * v5 = (K(x,w) * R(K(x,w) \ T(T(x,w),T(y,w)),z,u)) * v5. (K(x,y) * R(K(x,y) \ T(T(x,y),T(z,y)),u,w)) * v5 = (R(T(x,z),u,w) * K(x,y)) * v5. (K(x,y) * R(T(T(x,y),T(z,y)) * K(y,x),u,w)) * v5 = (R(T(x,z),u,w) * K(x,y)) * v5. (K(x,y) * R(x * K(T(x,y),T(z,y)),u,w)) * v5 = (R(T(x,z),u,w) * K(x,y)) * v5. (K(x,y) * R(T(x,z),u,w)) * v5 = (R(T(x,z),u,w) * K(x,y)) * v5. (R(T(x,y),z,u) * K(x,w)) * v5 = (K(x,w) * R(T(x,y),z,u)) * v5. x != (R(T(y,z),u,w) * K(y,v5)) * v6 | x = R(T(y,z),u,w) * (K(y,v5) * v6). (K(x,y) * R(T(x,z),u,w)) * v5 = R(T(x,z),u,w) * (K(x,y) * v5). R(K(x,y),R(T(x,z),u,w),v5) = (K(x,y) \ (R(T(x,z),u,w) * (K(x,y) * v5))) / (K(x,y) \ (R(T(x,z),u,w) * v5)). (K(x,y) \ (R(T(x,z),u,w) * (K(x,y) * v5))) / (K(x,y) \ (R(T(x,z),u,w) * v5)) = R(K(x,y),R(T(x,z),u,w),v5). (K(x,y) * (R(T(y,z),u,w) * (K(y,x) * v5))) / (K(y,x) \ (R(T(y,z),u,w) * v5)) = R(K(y,x),R(T(y,z),u,w),v5). (R(T(x,y),z,u) * w) / (K(x,v5) \ (R(T(x,y),z,u) * w)) = R(K(x,v5),R(T(x,y),z,u),w). R(K(x,y),R(T(x,z),u,w),v5) = K(x,y). R(K(x,y),R(x,z,u),w) = K(x,y). K(x,R(x,y,z) / (u / w)) = K(x,(R(x,y,z) * w) / u). K(x,(R(x,y,z) * u) / w) = K(x,R(x,y,z) / (w / u)). 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,y) * (L(K(x,z),u,w) * (K(y,x) * L(L(K(x,z),u,w) \ 1,v5,v6))) = L(K(x,z) * L(K(z,x),v5,v6),u,w). K(x,y) * (L(K(x,z),u,w) * (K(y,x) * L(L(K(x,z),u,w) \ 1,v5,v6))) = L(a(v6,v5,K(x,z)),u,w). K(x,y) * (L(K(x,z),u,w) * (K(y,x) * L(L(K(z,x),u,w),v5,v6))) = L(a(v6,v5,K(x,z)),u,w). L(K(x,y),z,u) * L(L(K(y,x),z,u),w,v5) = L(a(v5,w,K(x,y)),z,u). x != L(K(y,z),u,w) * L(L(K(z,y),u,w),v5,v6) | x = a(v6,v5,L(K(y,z),u,w)). L(a(x,y,K(z,u)),w,v5) = a(x,y,L(K(z,u),w,v5)). a(x,y,L(K(z,u),w,v5)) = L(a(x,y,K(z,u)),w,v5). a(x,y,K(z,L(u,w,v5))) = L(a(x,y,K(z,u)),w,v5). (x * R(x \ (x * K(y,z)),u,w)) * K(z,v5) = R(x,K(y,z),K(z,v5)) * (R(K(y,z),u,w) * K(z,v5)). R(x,K(y,z),K(z,u)) * (R(K(y,z),w,v5) * K(z,u)) = (x * R(x \ (x * K(y,z)),w,v5)) * K(z,u). R(x,K(y,z),K(z,u)) * (R(K(y,z),w,v5) * K(z,u)) = (x * R(K(y,z),w,v5)) * K(z,u). x * (R(K(y,z),u,w) * K(z,v5)) = (x * R(K(y,z),u,w)) * K(z,v5). (x * R(K(y,z),u,w)) * K(z,v5) = x * (R(K(y,z),u,w) * K(z,v5)). (x * R(K(y,z),u,w)) * K(z,v5) = x * (K(z,v5) * R(K(y,z),u,w)). x != (y * R(K(z,u),w,v5)) * K(u,v6) | x = y / (K(v6,u) * R(K(u,z),w,v5)). x * (K(y,z) * R(K(u,y),w,v5)) = x / (K(z,y) * R(K(y,u),w,v5)). x / (K(y,z) * R(K(z,u),w,v5)) = x * (K(z,y) * R(K(u,z),w,v5)). (x * (K(y,z) * R(K(z,u),w,v5))) * (K(z,y) * R(K(u,z),w,v5)) = x. K(x * ((T(y,y \ 1) * z) \ (((y \ 1) \ 1) \ (T(y,y \ 1) * z))),y \ 1) = K(x * R(y \ 1,y,z),y \ 1). K(x * ((T(y,y \ 1) * z) \ z),y \ 1) = K(x * R(y \ 1,y,z),y \ 1). K(x * T((y * z) \ z,y),y \ 1) = K(x * R(y \ 1,y,z),y \ 1). x != K(y * T((z * u) \ u,z),w) | x = K(y * ((z * u) \ u),w). K(x * R(y \ 1,y,z),y \ 1) = K(x * ((y * z) \ z),y \ 1). x != K(y * ((z * u) \ u),z \ 1) | x = K(z \ y,z \ 1). K(x * R(y \ 1,y,z),y \ 1) = K(y \ x,y \ 1). T(K(x \ y,x \ 1) / x,y) = R(1 / x,y,z / (x * z)). x != T(K(y \ z,y \ 1) / y,z) | x = R(1 / y,z,y \ 1). R(1 / x,y,z / (x * z)) = R(1 / x,y,x \ 1). R(1 / (x / y),z,y / x) = R(1 / (x / y),z,(x / y) \ 1). R(1 / (x / y),z,(x / y) \ 1) = R(1 / (x / y),z,y / x). T(a(1 / (x / y),z,1 / (x / y)),u) = (1 / (x / y)) \ R(1 / (x / y),z,y / x). x != (1 / y) \ R(1 / y,z,u) | x = y * R(y \ 1,z,u). T(a(1 / (x / y),z,1 / (x / y)),u) = (x / y) * R((x / y) \ 1,z,y / x). x != (y / z) * R((y / z) \ 1,u,w) | x = (y * R(y \ z,u,w)) / z. T(a(1 / (x / y),z,1 / (x / y)),u) = (x * R(x \ y,z,y / x)) / y. T(a(1 / (x / y),z,1 / (x / y)),u) = (x * R(x \ y,z,x \ y)) / y. x != (y * R(y \ z,u,y \ z)) / z | x = a(y \ z,u,y \ z). T(a(1 / (x / y),z,1 / (x / y)),u) = a(x \ y,z,x \ y). T(a(1 / (x / y),z,(x / y) \ 1),u) = a(x \ y,z,x \ y). x != T(a(1 / y,z,u),y \ 1) | x = a(y \ 1,z,u). a(x \ y,z,x \ y) = a((x / y) \ 1,z,(x / y) \ 1). a((x / y) \ 1,z,(x / y) \ 1) = a(x \ y,z,x \ y). x != a((y / z) \ 1,u,(y / z) \ 1) | x = K((z \ y) \ u,z / y) * K(z / y,u). a(x \ y,z,x \ y) = K((y \ x) \ z,y / x) * K(y / x,z). K((x \ y) \ z,x / y) * K(x / y,z) = a(y \ x,z,y \ x). x != K((y \ z) \ u,y / z) * K(y / z,u) | x = a((y \ z) \ 1,u,(y \ z) \ 1). a(x \ y,z,x \ y) = a((y \ x) \ 1,z,(y \ x) \ 1). a((x \ y) \ 1,z,(x \ y) \ 1) = a(y \ x,z,y \ x). 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 \ 1) * (L(x,y,z) \ x) = (u \ L(x,y,z)) \ (u \ 1). (x \ L(y,z,u)) \ (x \ 1) = (y \ 1) * (L(y,z,u) \ y). (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 \ (y \ z)) \ ((y * x) \ z)) \ 1 = L(x \ (y \ z),x,y) \ (x \ (y \ z)). L(x \ (y \ z),x,y) \ (x \ (y \ z)) = ((x \ (y \ z)) \ ((y * x) \ z)) \ 1. 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)). ((x * y) \ z) \ (y \ (x \ z)) = ((y \ (x \ z)) \ ((x * y) \ z)) \ 1. ((x \ (y \ z)) \ ((y * x) \ z)) \ 1 = ((y * x) \ z) \ (x \ (y \ z)). a(1 / x,y,z) \ 1 = ((y * z) \ x) \ (z \ (y \ x)). ((x * y) \ z) \ (y \ (x \ z)) = a(1 / z,x,y) \ 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)). (x * ((y * x) \ y)) \ 1 = x \ (1 / ((y * x) \ y)). T((1 / ((x * y) \ x)) * K(y,z),y) = (y \ (1 / ((x * y) \ x))) * T(y,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 = (y * ((z * y) \ z)) \ T(y,u). T((1 / ((x * y) \ x)) * K(y,z),y) = (y * ((x * y) \ x)) \ T(y,z). T(T(1 / ((x * y) \ x),z),y) = (y * ((x * y) \ x)) \ T(y,z). x != T(T(1 / ((y * z) \ y),u),z) | x = T(1 / ((y * z) \ y),u). (x * ((y * x) \ y)) \ T(x,z) = T(1 / ((y * x) \ y),z). x != (y * ((z * y) \ z)) \ T(y,u) | x = 1 / ((z * T(y,u)) \ z). T(1 / ((x * y) \ x),z) = 1 / ((x * T(y,z)) \ x). 1 / ((x * T(y,z)) \ x) = T(1 / ((x * y) \ x),z). T(1 / ((x * y) \ x),z) \ 1 = (x * T(y,z)) \ x. ((x * T(y,z)) \ x) \ 1 = T(((x * y) \ x) \ 1,z). K(x,T(((y * z) \ y) \ 1,u) \ x) = K(x,1 \ (((y * T(z,u)) \ y) * x)). x != K(y,T(z \ 1,u) \ y) | x = K(y,T(z * y,u)). K(x,1 \ (((y * T(z,u)) \ y) * x)) = K(x,T(((y * z) \ y) * x,u)). K(x,((y * T(z,u)) \ y) * x) = K(x,T(((y * z) \ y) * x,u)). K(x,T(((y * z) \ y) * x,u)) = K(x,((y * T(z,u)) \ y) * x). K(x,T(((y * z) \ y) * x,u)) = K(x,x * ((y * T(z,u)) \ y)). x != K(y,y * ((z * u) \ z)) | x = K(y,u \ y). K(x,T(((y * z) \ y) * x,u)) = K(x,T(z,u) \ x). x != K(y,T(z,u) \ y) | x = K(y,T(z \ y,u)). K(x,T(((y * z) \ y) * x,u)) = K(x,T(z \ x,u)). K(x,T((y \ z) * x,u)) = K(x,T((z \ y) \ x,u)). K(x,T((y \ z) \ x,u)) = K(x,T((z \ y) * x,u)). K(x,(y / z) \ x) = K(x,T((y \ z) * x,z)). K(x,T((y \ z) * x,z)) = K(x,(y / z) \ x). K(x,T(x * (y \ z),z)) = K(x,(y / z) \ x). x != K(y,T((z \ u) * y,u)) | x = K(y,T((z \ u) * y,z)). K(x,(y / z) \ x) = K(x,T((y \ z) * x,y)). K(x,T((y \ z) * x,y)) = K(x,(y / z) \ x). x != K(y,T(y * ((z \ u) \ u),w)) | x = K(y,T(y * T(z,u),w)). K(x,((y \ z) / z) \ x) = K(x,T(x * T(y,z),z)). K(x,T(y * x,z)) = K(x,(z / (z * y)) \ x). K(x,(y / (y * z)) \ x) = K(x,T(z * x,y)). K(x,T((y / (y * z)) \ x,u)) = K(T(x,u),T(z * T(x,u),y)). K(T(x,y),T(z * T(x,y),u)) = K(x,T((u / (u * z)) \ x,y)). R(K(x,T(x * T(y,z),z)),x * u,w) = K(R(x,u,w),((y \ z) / z) \ x). K(x,T(T(y * T(x,z),u),z)) = K(x,T((u / (u * y)) \ x,z)). x != K(y,T(T(z * T(y,u),w),v5)) | x = K(y,T(T(y * z,w),v5)). K(x,T((y / (y * z)) \ x,u)) = K(x,T(T(x * z,y),u)). K(x,T((y / (z * y)) \ x,u)) = K(x,T(T(x * T(z,y),y),u)). x != K(y,T((z / (u * z)) \ y,u)) | x = K(y,R(1 / (1 / (1 / u)),u,z) \ y). K(x,T(T(x * T(y,z),z),y)) = K(x,R(1 / (1 / (1 / y)),y,z) \ x). K(x,T(x * T(y,z),z)) = K(x,R(1 / (1 / (1 / y)),y,z) \ x). x != K(y,R(1 / z,u,w) \ v5) | x = K(y,R(z \ 1,u,w) \ v5). K(x,T(x * T(y,z),z)) = K(x,R((1 / (1 / y)) \ 1,y,z) \ x). K(x,T(x * T(y,z),z)) = K(x,R(1 / y,y,z) \ x). x != K(y,R(1 / z,u,w) \ y) | x = R(K(y,y * z),u,w). K(x,T(x * T(y,z),z)) = R(K(x,x * y),y,z). R(K(x,x * y),y,z) = K(x,T(x * T(y,z),z)). R(R(K(x,x * y),y,z),x * u,w) = K(R(x,u,w),T(x * T(y,z),z)). x != R(R(K(y,z),u,w),y * v5,v6) | x = R(K(R(y,v5,v6),z),u,w). K(R(x,y,z),T(x * T(u,w),w)) = R(K(R(x,y,z),x * u),u,w). R(K(R(x,y,z),x * u),u,w) = K(R(x,y,z),T(x * T(u,w),w)). K(R(x,y,z),((u \ w) / w) \ x) = K(R(x,y,z),T(x * T(u,w),w)). K(a(x,y,z),a(x,y,z) \ 1) / (((x * y) * z) \ (x * (y * z))) = (((x * y) * z) \ (x * (y * z))) \ 1. K((x \ y) \ y,z \ (R(x,u,w) * y)) = K(T(x,R(x,u,w) * (x \ y)),(R(x,u,w) \ z) \ y). K(T(x,R(x,y,z) * (x \ u)),(R(x,y,z) \ w) \ u) = K((x \ u) \ u,w \ (R(x,y,z) * u)). K(T(x,R(x,y,z) * (x \ u)),(R(x,y,z) \ w) \ u) = K(x,T(w \ (R(x,y,z) * u),u)). x != K(y,T(z \ (R(y,u,w) * v5),v5)) | x = K(y,(R(y,u,w) * v5) / z). K(T(x,R(x,y,z) * (x \ u)),(R(x,y,z) \ w) \ u) = K(x,(R(x,y,z) * u) / w). K(x,T((R(x,y,z) \ u) \ w,R(x,y,z) * (x \ w))) = K(x,(R(x,y,z) * w) / u). x != K(y,T(z,u * (y \ w))) | x = K(y,T(z,u * w)). K(x,(R(x,y,z) * u) / w) = K(x,T((R(x,y,z) \ w) \ u,R(x,y,z) * u)). K(x,T((R(x,y,z) \ u) \ w,R(x,y,z) * w)) = K(x,(R(x,y,z) * w) / u). K(x,T((R(x,y,z) \ u) \ w,w)) = K(x,(R(x,y,z) * w) / u). K(x,y / (R(x,z,u) \ w)) = K(x,(R(x,z,u) * y) / w). K(x,(R(x,y,z) * u) / w) = K(x,u / (R(x,y,z) \ w)). x != K(y,(R(y,z,u) * w) / v5) | x = K(y,R(y,z,u) / (v5 / w)). K(x,y / (R(x,z,u) \ w)) = K(x,R(x,z,u) / (w / y)). K(x,R(x,y,z) / (u / w)) = K(x,w / (R(x,y,z) \ u)). K(x,(y / z) \ R(x,u,w)) = K(x,z / (R(x,u,w) \ y)). K(x,y / (R(x,z,u) \ w)) = K(x,(w / y) \ R(x,z,u)). x != K(y,z / (R(y,u,w) \ v5)) | x = K(y,(z * R(y,u,w)) / v5). K(x,(y / z) \ R(x,u,w)) = K(x,(z * R(x,u,w)) / y). K(x,(y * R(x,z,u)) / w) = K(x,(w / y) \ R(x,z,u)). x != K(y,((z * u) * R(y,z,u)) / ((w * z) * u)) | x = K(R(y,K(z * u,y) * z,u),w \ y). K(x,(((y * z) * u) / (z * u)) \ R(x,z,u)) = K(R(x,K(z * u,x) * z,u),y \ x). K(R(x,K(y * z,x) * y,z),u \ x) = K(x,(((u * y) * z) / (y * z)) \ R(x,y,z)). K(R(x,K(y * z,x) * y,z),u \ x) = K(x,R(u,y,z) \ R(x,y,z)). x != K(R(y,K(z,y) * u,w),v5) | x = K(R(y,u,w),v5). K(x,R(y,z,u) \ R(x,z,u)) = K(R(x,z,u),y \ x). K(R(K(x,y) * R(K(y,x),z,u),K(y,x),z * u),((z * u) \ K(x,y)) \ 1) = K(a(K(y,x),z,u),((z * u) \ K(x,y)) \ 1). K(K(x,y) * R(K(y,x),z,u),((z * u) \ K(x,y)) \ 1) = K(a(K(y,x),z,u),((z * u) \ K(x,y)) \ 1). K(K(x,y) * R(K(y,x),z,u),K(y,x) * (z * u)) = K(a(K(y,x),z,u),((z * u) \ K(x,y)) \ 1). x != K(K(y,z) * R(K(z,u),w,v5),v6) | x = K(K(y,z) * K(z,R(u,w,v5)),v6). K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1) = K(K(y,x) * K(x,R(y,z,u)),K(x,y) * (z * u)). K(K(x,y) * K(y,R(x,z,u)),K(y,x) * (z * u)) = K(a(K(y,x),z,u),((z * u) \ K(x,y)) \ 1). x != K(K(y,z) * K(z,u),K(z,y) * w) | x = K(w,K(z,u) * K(y,z)). K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1) = K(z * u,K(x,R(y,z,u)) * K(y,x)). x != K(y,K(z,R(u,w,v5)) * K(u,z)) | x = K(y,K(z,u) * K(u,R(z,w,v5))). K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1) = K(z * u,K(x,y) * K(y,R(x,z,u))). x != K(y * z,K(u,w) * K(w,R(u,y,z))) | x = 1. K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1) = 1. K(a(K(x,y),z,u),K(x,y) * (z * u)) = 1. 1 * (((K(x,y) * z) * u) / (K(x,y) * (z * u))) = a(K(x,y),z,u). 1 * (K(x,y) * R(K(y,x),z,u)) = a(K(y,x),z,u). K(x,y) * R(K(y,x),z,u) = a(K(y,x),z,u). 1 * (K(x,K(y,z)) * R(K(x,K(y,z)),u,w)) = a(K(x,K(y,z)),u,w). K(x,y) * a(K(x,y),z,u) = R(K(x,y),z,u). R(K(x,y),z,u) * K(y,x) = a(K(x,y),z,u). K(x \ 1,y) * K(y,R(x,z,u) \ 1) = a(K(y,x \ 1),z,u). K(x,y) * K(y,R(x,z,u)) = a(K(y,x),z * x,u). a(K(x,y),z,u) * w = K(y,x) * (R(K(x,y),z,u) * w). K(x,y) * (R(K(y,x),z,u) * w) = a(K(y,x),z,u) * w. T(x,K(y,R(z,u,w)) * K(z,y)) = T(x,a(K(z,y),u,w)). K(a(K(x,y),z,u),w) = K(K(y,x) * K(x,R(y,z,u)),w). K(K(x,y) * K(y,R(x,z,u)),w) = K(a(K(y,x),z,u),w). (x * a(K(y,z),u,w)) * (K(y,z) * R(K(z,y),u,w)) = x. R(K(x,T(y,z)),u,w) * (z * K(y,x)) = (a(K(x,T(y,z)),u,w) * K(x,y)) * (K(y,x) * z). (a(K(x,T(y,z)),u,w) * K(x,y)) * (K(y,x) * z) = R(K(x,T(y,z)),u,w) * (z * K(y,x)). R(K(x,T(y,z)),u,w) * (z * K(y,x)) = z * a(K(x,y),u,w). K(x,y) * (a(K(x,y),z,u) * w) = R(K(x,y),z,u) * w. K(a(K(x,y),z,u),w) = K(w,K(x,y) * K(R(y,z,u),x)). K(x,K(y,z) * K(R(z,u,w),y)) = K(a(K(y,z),u,w),x). (x * a(K(y,z),u,w)) * a(K(z,y),u,w) = x. x * y != T(z,z \ u) | x \ ((z \ u) \ u) = y. (T(x,x \ y) * a(K(z,u),w,v5)) \ ((x \ y) \ y) = a(K(u,z),w,v5). x != K(y,z) * (u * L(y,z,y)) | x = K(y,y * z) * (u * y). R(K(x,y),z,u) * L(x,y,x) = K(x,x * y) * (a(K(x,y),z,u) * x). K(x,x * y) * (a(K(x,y),z,u) * x) = R(K(x,y),z,u) * L(x,y,x). R(K(a(K(x,y),z,u),w),K(K(x,w),v5),v6) * v7 = K(y,K(x,w)) * (R(K(K(x,w),y),z,u) * v7). 1 * (K(x,K(y,z)) * K(y,K(z,R(x,u,w)))) = a(K(x,K(y,z)),u,w). 1 * K(x,K(y,z) * K(R(z,u,w),y)) = a(K(z,K(y,x)),u,w). K(x,x * y) * (x * a(K(x,y),z,u)) = R(K(x,y),z,u) * L(x,y,x). T(x,x * y) * a(K(x,y),z,u) = R(K(x,y),z,u) * L(x,y,x). x != R(K(y,z),u,w) * L(y,v5,y) | x = L(y * R(K(y,z),u,w),v5,y). T(x,x * y) * a(K(x,y),z,u) = L(x * R(K(x,y),z,u),y,x). x != R(K(y,T(z,u)),w,v5) * (u * K(z,y)) | x = u * a(K(y,z),w,v5). (a(K(x,T(y,z)),u,w) * K(x,y)) * (K(y,x) * z) = z * a(K(x,y),u,w). K(a(K(x,y),z,u),w) * v5 = K(y,K(x,w)) * (R(K(K(x,w),y),z,u) * v5). K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * v5) = K(a(K(y,x),u,w),z) * v5. x != K(a(K(y,z),u,w),v5) * y | x = y * K(a(K(y,z),u,w),v5). K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * y) = y * K(a(K(y,x),u,w),z). K(x,K(y,z)) * (R(K(y,K(z,x)),u,w) * y) = y * K(a(K(y,x),u,w),z). K(x,K(y,z)) * (K(y,K(z,R(x,u,w))) * y) = y * K(a(K(y,x),u,w),z). K(x,K(y,z)) * T(y,K(z,R(x,u,w))) = y * K(a(K(y,x),u,w),z). x != K(y,z) * T(u,K(w,R(y,v5,v6))) | x = T(K(y,z) * u,K(y,R(w,v5,v6))). x * K(a(K(x,y),z,u),w) = T(K(y,K(x,w)) * x,K(y,R(w,z,u))). T(K(x,K(y,z)) * y,K(x,R(z,u,w))) = y * K(a(K(y,x),u,w),z). T(T(x,K(y,z)),K(y,R(z,u,w))) = x * K(a(K(x,y),u,w),z). T(x,K(y,R(z,u,w)) * K(z,y)) = x * K(a(K(x,y),u,w),z). x != T(y,K(z,R(u,w,v5)) * K(u,z)) | x = T(y,a(K(u,z),w,v5)). x * K(a(K(x,y),z,u),w) = T(x,a(K(w,y),z,u)). K(a(K(x,y),z,u),w) = K(x,a(K(w,y),z,u)). x != K(a(K(y,z),u,w),v5) | x = K(v5,K(y,z) * K(R(z,u,w),y)). K(x,a(K(y,z),u,w)) = K(y,K(x,z) * K(R(z,u,w),x)). K(x,K(y,z) * K(R(z,u,w),y)) = K(y,a(K(x,z),u,w)). 1 * K(x,a(K(y,z),u,w)) = a(K(z,K(x,y)),u,w). K(x,a(K(y,z),u,w)) = a(K(z,K(x,y)),u,w). a(K(x,K(y,z)),u,w) = K(y,a(K(z,x),u,w)). x != K(y,a(K(z,u),w,v5)) | x = K(a(K(y,u),w,v5),z). a(K(x,K(y,z)),u,w) = K(a(K(y,x),u,w),z). a(K(x,K(y,z)),u,w) = K(x,a(K(z,y),u,w)). a(K(x,K(y,z)),u,w) = K(a(K(x,y),u,w),z). (x / ((y * z) / y)) \ T(x / z,1 / (x / ((y * z) / y))) = (x / z) * (1 / (x / ((y * z) / y))). (1 / ((x * y) / x)) \ T(1 / y,(x * y) / x) = (1 / y) * (1 / (1 / ((x * y) / x))). (1 / ((x * y) / x)) \ (y \ 1) = (1 / y) * (1 / (1 / ((x * y) / x))). (1 / x) * (1 / (1 / ((y * x) / y))) = (1 / ((y * x) / y)) \ (x \ 1). x != (1 / ((y * z) / y)) \ (z \ 1) | x = (T(z,y) \ 1) * z. (1 / x) * (1 / (1 / ((y * x) / y))) = (T(x,y) \ 1) * x. (((x \ 1) \ K(y,x)) \ (T(x,x \ 1) * z)) * K((K(x,y) / x) * (x * z),u) = T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),u). K(R(x,y,z) \ 1,u) * R(R(x * T(x \ 1,u),y,z) \ 1,w,v5) = R((x * T(x \ 1,u)) * R(K(u,x \ 1),w,v5),y,z). K(R(x,y,z) \ 1,u) * R(K(R(x,y,z) \ 1,u) \ 1,w,v5) = R((x * T(x \ 1,u)) * R(K(u,x \ 1),w,v5),y,z). R((x * T(x \ 1,y)) * R(K(y,x \ 1),z,u),w,v5) = K(R(x,w,v5) \ 1,y) * R(K(R(x,w,v5) \ 1,y) \ 1,z,u). R((x * T(x \ 1,y)) * R(K(y,x \ 1),z,u),w,v5) = K(R(x,w,v5) \ 1,y) * R(K(y,R(x,w,v5) \ 1),z,u). R((x * T(x \ 1,y)) * R(K(y,x \ 1),z,u),w,v5) = K(R(x,w,v5) \ 1,y) * K(y,R(R(x,w,v5),z,u) \ 1). R(K(x \ 1,y) * R(K(y,x \ 1),z,u),w,v5) = K(R(x,w,v5) \ 1,y) * K(y,R(R(x,w,v5),z,u) \ 1). K(R(x,y,z) \ 1,u) * K(u,R(R(x,y,z),w,v5) \ 1) = R(K(x \ 1,u) * R(K(u,x \ 1),w,v5),y,z). K(R(x,y,z) \ 1,u) * K(u,R(R(x,y,z),w,v5) \ 1) = R(K(x \ 1,u) * K(u,R(x,w,v5) \ 1),y,z). x != K(y \ 1,z) * K(z,R(y,u,w) \ 1) | x = a(K(z,y \ 1),u,w). R(K(x \ 1,y) * K(y,R(x,z,u) \ 1),w,v5) = a(K(y,R(x,w,v5) \ 1),z,u). x * (y * K(L(z \ u,z,w),T(((w * u) / (w * z)) \ 1,w * z))) = (x * K((w * z) \ (w * u),(w * u) \ (w * z))) * y. x * (y * K(L(z \ u,z,w),T(((w * u) / (w * z)) \ 1,w * z))) = (x * K(z \ (w \ (w * u)),(w \ (w * u)) \ z)) * y. x * (y * K(L(z \ u,z,w),T(((w * u) / (w * z)) \ 1,w * z))) = (x * K(z \ u,(w \ (w * u)) \ z)) * y. x * (y * K(L(z \ u,z,w),T(((w * u) / (w * z)) \ 1,w * z))) = (x * K(z \ u,u \ z)) * y. K(L(x \ y,x,z),T(((z * y) / (z * x)) \ 1,z * x)) = K(x \ y,y \ x). x * (y * K(z \ u,u \ z)) = (x * K(z \ u,u \ z)) * y. (x * K(y \ z,z \ y)) * u = x * (u * K(y \ z,z \ y)). x != (y * K(z \ u,u \ z)) * (1 / y) | x = K((1 / y) \ (z \ u),1 / (y * T(z \ u,u \ z))). x * ((1 / x) * K(y \ z,z \ y)) = K((1 / x) \ (y \ z),1 / (x * T(y \ z,z \ y))). K((1 / x) \ (y \ z),1 / (x * T(y \ z,z \ y))) = x * ((1 / x) * K(y \ z,z \ y)). x != y * ((1 / y) * K(z \ u,u \ z)) | x = K(z \ (u * y),(u * y) \ z). K((1 / x) \ (y \ z),1 / (x * T(y \ z,z \ y))) = K(y \ (z * x),(z * x) \ y). K((1 / x) \ (y \ z),(y \ z) \ (1 / x)) = K(y \ (z * x),(z * x) \ y). x != K(y,z \ (1 / u)) | x = K(y,z \ (u \ 1)). K(x \ (y * z),(y * z) \ x) = K((1 / z) \ (x \ y),(x \ y) \ (z \ 1)). K((1 / x) \ (y \ z),(y \ z) \ (x \ 1)) = K(y \ (z * x),(z * x) \ y). K(x \ (y * z),(y * z) \ x) = K(z * (x \ y),(x \ y) \ (z \ 1)). K(x * (y \ z),(y \ z) \ (x \ 1)) = K(y \ (z * x),(z * x) \ y). x != K(y * (z \ u),(z \ u) \ (y \ 1)) | x = K((y / z) * u,u \ (z * (y \ 1))). K(x \ (y * z),(y * z) \ x) = K((z / x) * y,y \ (x * (z \ 1))). K((x / y) * z,z \ (y * (x \ 1))) = K(y \ (z * x),(z * x) \ y). x \ K(y \ (z * u),(z * u) \ y) = (x \ ((u / y) * z)) * (1 / ((u / y) * z)). (x \ ((y / z) * u)) * (1 / ((y / z) * u)) = x \ K(z \ (u * y),(u * y) \ z). K(T(x * y,K(z,u)),T(x * y,K(z,u)) \ (x * (y * K(z,u)))) = T(x * y,K(z,u)) / (x * y). K(T(x * y,K(z,u)),T(x * y,K(z,u)) \ (x * (y * K(z,u)))) = K(x * y,K(z,u)). x != K(y,K(z,u)) | x = K(z,K(u,y)). K(T(x * y,K(z,u)),T(x * y,K(z,u)) \ (x * (y * K(z,u)))) = K(z,K(u,x * y)). K(T(x * y,K(z,u)),L(K(z,T(u,x * y)),y,x)) = K(z,K(u,x * y)). K(T(x * y,K(z,u)),K(z,L(T(u,x * y),y,x))) = K(z,K(u,x * y)). K(x,K(T(y * z,K(x,u)),L(T(u,y * z),z,y))) = K(x,K(u,y * z)). x != K(y,K(T(z,K(y,u)),w)) | x = K(y,K(z,w)). K(x,K(y,z * u)) = K(x,K(z * u,L(T(y,z * u),u,z))). K(x,K(y * z,L(T(u,y * z),z,y))) = K(x,K(u,y * z)). K(x,K(y * z,L(u,z,y))) = K(x,K(u,y * z)). (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))). (a(x,y,L(x,z,u)) * K(x,w)) \ (x * K(L(x,y,L(x,z,u)),w)) = T(L(x,y,L(x,z,u)),L(x,y,L(x,z,u)) \ x). (a(x,y,L(x,z,u)) * K(x,w)) \ T(x,w) = T(L(x,y,L(x,z,u)),L(x,y,L(x,z,u)) \ x). T(L(x,y,L(x,z,u)),L(x,y,L(x,z,u)) \ x) = (a(x,y,L(x,z,u)) * K(x,w)) \ T(x,w). x != T(L(y,z,u),L(y,z,u) \ y) | x = L(y,z,u). (a(x,y,L(x,z,u)) * K(x,w)) \ T(x,w) = L(x,y,L(x,z,u)). (a(x,y,x) * K(x,z)) \ T(x,z) = L(x,y,L(x,u,w)). L(x,y,L(x,z,u)) = (a(x,y,x) * K(x,w)) \ T(x,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(y,T(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(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) * (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). x * (K(y,z * x) * K(z,y)) = K(y,z * x) * (K(z,y) * x). K(x,y * z) * (K(y,x) * z) = z * (K(x,y * z) * K(y,x)). x != K(y,z * L(y,u,w)) * (K(z,y) * L(y,u,w)) | x = L(L(y,z,y),u,w). 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)). R(x,T(K(y,z),x),T(K(z,K(u,w)),K(y,z) * x)) \ ((K(u,K(z,w)) * K(y,z)) * x) = T(K(y,z),x) * T(K(u,K(z,w)),K(y,z) * x). x / (T(K(y,z),x) * (((y \ 1) * x) * R(y,y \ 1,x))) = K(z,((y \ 1) * x) \ x) * K(((y \ 1) * x) \ x,(y \ 1) * x). x / (T(K(y,z),x) * ((y \ x) * y)) = K(z,((y \ 1) * x) \ x) * K(((y \ 1) * x) \ x,(y \ 1) * x). K(x,((y \ 1) * z) \ z) * K(((y \ 1) * z) \ z,(y \ 1) * z) = z / (T(K(y,x),z) * ((y \ z) * y)). K(x,((y \ 1) * z) \ z) * K(((y \ 1) * z) \ z,(y \ 1) * z) = z / ((y \ z) * T(y,x)). K(x,((y \ 1) * (y * z)) \ (y * z)) * K(((y \ 1) * (y * z)) \ (y * z),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)). K(x,R(T(y,z),y \ 1,z * y)) * K(((y \ 1) * (y * z)) \ (y * z),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)). T(K(x,y),z) * K(((y \ 1) * (y * z)) \ (y * z),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)). T(K(x,y),z) * K(R(T(y,z),y \ 1,z * y),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)). T(K(x,y),z) * K(R(T(y,z),y \ 1,z * y),L(z,y,y \ 1)) = (y * z) / (z * T(y,x)). T(K(x,y),z) * K(R(y,y \ 1,z * y),L(z,y,y \ 1)) = (y * z) / (z * T(y,x)). T(K(x,y),z) * K(y,z) = (y * z) / (z * T(y,x)). (x * y) / (y * T(x,z)) = T(K(z,x),y) * K(x,y). x != T(y,z) * K(u,z) | x = T(y * K(u,z),z). (x * y) / (y * T(x,z)) = T(K(z,x) * K(x,y),y). K(x * (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)). K(x,K(y,z)) * u != 1 / ((w * (y \ T(y * z,y))) \ (w * z)) | u = K(y * z,T(y,x)). 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)). K((x / y) \ z,z) = K(z * (x \ y),T(z,x)). K(x * (y \ z),T(x,y)) = K((y / z) \ x,x). K((x / y) \ z,z) = K((x \ y) * z,T(z,x)). K((x \ y) * z,T(z,x)) = K((x / y) \ z,z). x != K((y \ z) * u,T(u,y)) | x = K(z / y,u) * a(u,y \ z,u). K((x / y) \ z,z) = K(y / x,z) * a(z,x \ y,z). K(x / y,z) * a(z,y \ x,z) = K((y / x) \ z,z). K(x,y / z) * K((z / y) \ x,x) = a(x,z \ y,x). x != K(y,z) * K(u,y) | x = T(y,u) \ T(y,z). a(x,y \ z,x) = T(x,(y / z) \ x) \ T(x,z / y). T(x,(y / z) \ x) \ T(x,z / y) = a(x,y \ z,x). T(x,(y / z) \ x) \ T(x,(y / z) \ 1) = a(x,y \ z,x). T(x,(y / z) \ x) \ T(x,x \ ((y / z) \ x)) = a(x,y \ z,x). a(x,y \ z,x) = T(x,(y / z) \ x) \ ((x \ ((y / z) \ x)) \ ((y / z) \ x)). T(x,(y / z) \ x) \ ((x \ ((y / z) \ x)) \ ((y / z) \ x)) = a(x,y \ z,x). x != T(y,z \ y) \ ((y \ (z \ y)) \ (z \ y)) | x = a(y,z \ 1,y). a(x,y \ z,x) = a(x,(y / z) \ 1,x). a(x,(y / z) \ 1,x) = a(x,y \ z,x). a(x,y \ 1,x) = a(x,(y * z) \ z,x). a(x,(y * z) \ z,x) = a(x,y \ 1,x). R(x,T(K(y,z),x),T(K(z,K(u,w)),x)) \ ((K(u,K(z,w)) * K(y,z)) * x) = T(K(y,z),x) * T(K(u,K(z,w)),K(y,z) * x). R(x,T(K(y,z),x),K(z,K(u,T(w,x)))) \ ((K(u,K(z,w)) * K(y,z)) * x) = T(K(y,z),x) * T(K(u,K(z,w)),K(y,z) * x). R(x,T(K(y,z),x),K(z,K(u,T(w,x)))) \ ((K(z,K(u,w)) * K(y,z)) * x) = T(K(y,z),x) * T(K(u,K(z,w)),K(y,z) * x). R(x,T(K(y,z),x),K(z,K(u,T(w,x)))) \ (K(y,z) * (K(z,K(u,w)) * x)) = T(K(y,z),x) * T(K(u,K(z,w)),K(y,z) * x). R(x,T(K(y,z),x),K(z,K(u,T(w,x)))) \ (K(y,z) * (K(z,K(u,w)) * x)) = T(K(y,z),x) * T(K(z,K(u,w)),K(y,z) * x). R(x,T(K(y,z),x),K(z,K(u,T(w,x)))) \ (K(y,z) * (K(z,K(u,w)) * x)) = T(K(y,z),x) * T(K(z,K(u,w)),x). R(x,T(K(y,z),x),K(z,K(u,T(w,x)))) \ (K(y,z) * (K(z,K(u,w)) * x)) = T(K(y,z),x) * K(z,K(u,T(w,x))). x \ (K(y,z) * (K(z,K(u,w)) * x)) = T(K(y,z),x) * K(z,K(u,T(w,x))). T(K(x,y) * K(y,K(z,u)),w) = T(K(x,y),w) * K(y,K(z,T(u,w))). T(K(x,y),z) * K(y,K(u,T(w,z))) = T(K(x,y) * K(y,K(u,w)),z). x != T(K(y,z),u) * K(z,w) | x = K(z,w) * T(K(y,z),u). T(K(x,y) * K(y,K(z,u)),w) = K(y,K(z,T(u,w))) * T(K(x,y),w). K(x,K(y,T(z,u))) * T(K(w,x),u) = T(K(w,x) * K(x,K(y,z)),u). T(K(x,y) * K(y,K(z,u)),w) != v5 | K(y,K(z,T(u,w))) * K(x,T(y,w)) = v5. K(x,x * y) * T(x * L(y,z,u),x) = L(y,z,u) * T(R(x,L(y,z,u),x),R(x,L(y,z,u),x) * y). L(x,y,z) * T(R(u,L(x,y,z),u),R(u,L(x,y,z),u) * x) = K(u,u * x) * T(u * L(x,y,z),u). x != K(y,z) * T(u,y) | x = T(K(y,z) * u,y). L(x,y,z) * T(R(u,L(x,y,z),u),R(u,L(x,y,z),u) * x) = T(K(u,u * x) * (u * L(x,y,z)),u). L(x,y,z) * T(R(u,L(x,y,z),u),R(u,L(x,y,z),u) * x) = T(T(u,u * x) * L(x,y,z),u). K(x,x * y) * T(x * R(y,z,u),x) = R(y,z,u) * T(R(x,R(y,z,u),x),R(x,R(y,z,u),x) * y). R(x,y,z) * T(R(u,R(x,y,z),u),R(u,R(x,y,z),u) * x) = K(u,u * x) * T(u * R(x,y,z),u). R(x,y,z) * T(R(u,R(x,y,z),u),R(u,R(x,y,z),u) * x) = T(K(u,u * x) * (u * R(x,y,z)),u). R(x,y,z) * T(R(u,R(x,y,z),u),R(u,R(x,y,z),u) * x) = T(T(u,u * x) * R(x,y,z),u). x != T(T(y,y * z) * R(z,u,w),y) | x = T(y * R(z,u,w),y * z). R(x,y,z) * T(R(u,R(x,y,z),u),R(u,R(x,y,z),u) * x) = T(u * R(x,y,z),u * x). R(x,y,z) * R(T(u,x * R(u,R(x,y,z),u)),R(x,y,z),u) = T(u * R(x,y,z),u * x). R(x,y,z) * R(T(u,u * x),R(x,y,z),u) = T(u * R(x,y,z),u * x). R(x,y,z) * R(T(u,x * u),R(x,y,z),u) = T(u * R(x,y,z),u * x). L((K(x,y) * a(x,z,x)) \ u,K(x,y) * a(x,z,x),T(x,R(T(x,y),z,x))) = ((x * R(T(x,y),z,x)) / x) \ (T(x,R(T(x,y),z,x)) * u). (((x \ 1) \ K(y,x)) \ T(x,z)) \ K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ K(x,y)) \ 1)) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). L((K(x,y) * a(x,z,x)) \ u,K(x,y) * a(x,z,x),x) = ((x * R(T(x,y),z,x)) / x) \ (T(x,R(T(x,y),z,x)) * u). ((x * R(T(x,y),z,x)) / x) \ (T(x,R(T(x,y),z,x)) * u) = L((K(x,y) * a(x,z,x)) \ u,K(x,y) * a(x,z,x),x). x != L(y,K(z,u) * a(z,w,z),z) | x = y. ((x * R(T(x,y),z,x)) / x) \ (T(x,R(T(x,y),z,x)) * u) = (K(x,y) * a(x,z,x)) \ u. x != ((y * z) / y) \ (T(y,z) * u) | x = z \ (y * u). (K(x,y) * a(x,z,x)) \ u = R(T(x,y),z,x) \ (x * u). x != R(T(y,z),u,w) \ (y * v5) | x = y * (R(T(y,z),u,w) \ v5). (K(x,y) * a(x,z,x)) \ u = x * (R(T(x,y),z,x) \ u). x != (y * a(z,u,z)) \ w | x = (a(z,u,z) * y) \ w. x * (R(T(x,y),z,x) \ u) = (a(x,z,x) * K(x,y)) \ u. (a(x,y,x) * K(x,z)) \ u = x * (R(T(x,z),y,x) \ u). x != (a(y,z,y) * K(y,u)) \ T(y,u) | x = L(y,z,L(y,w,v5)). x * (R(T(x,y),z,x) \ T(x,y)) = L(x,z,L(x,u,w)). L(x,y,L(x,z,u)) = x * (R(T(x,w),y,x) \ T(x,w)). L(x,y,L(x,z,u)) = x * (T(x,w) \ L(T(x,w),y,x)). L(x,y,L(x,z,u)) = x * (x \ L(x,y,x)). 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). (L(x,y,z) \ L(L(x,u,x),y,z)) \ w = w * a(L(x,y,z),u,L(x,y,z)). (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)). x != a(y,z,L(y,u,w)) | x = a(y,z,y). a(L(x,y,z),u,L(x,y,z)) = a(x,u,x). x != a(L(y,z / y,u),w,L(y,z / y,u)) | x = L(a(y,w,y),z,u). a(x,y,x) = L(a(x,y,x),z,u). L(a(x,y,x),z,u) = a(x,y,x). 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 \ (y * a(z,u,z)) = (x \ y) * a(z,u,z). R(x,y,a(z,u,z)) = x. L(T(x,y),y,a(z,u,z)) = T(x,y * a(z,u,z)). ((a(x,y,x) * z) \ (z * u)) * a(x,y,x) != w | L(u,z,a(x,y,x)) = w. x \ (y * (z * a(u,w,u))) = (x \ (y * z)) * a(u,w,u). L(T(x,a(y,z,y)),a(y,z,y),u) = ((a(y,z,y) * u) \ (u * x)) * a(y,z,y). ((a(x,y,x) * z) \ (z * u)) * a(x,y,x) = L(T(u,a(x,y,x)),a(x,y,x),z). (x * y) \ (x * ((y * z) * a(u,w,u))) = L(z,y,x) * a(u,w,u). (x * y) \ (x * (y * (z * a(u,w,u)))) = L(z,y,x) * a(u,w,u). L(x * a(y,z,y),u,w) = L(x,u,w) * a(y,z,y). a(x,y,x) \ L(a(x,y,x) * z,u,w) = L(z,u,w). a(x,y,x) * L(z,u,w) = L(a(x,y,x) * z,u,w). L(a(x,y,x) * z,u,w) = a(x,y,x) * L(z,u,w). x * L(a(x,y,x) * z,u,w) = R(x,y,x) * L(z,u,w). x * L(x \ y,z,u) = R(x,w,x) * L(R(x,w,x) \ y,z,u). R(x,y,x) * L(R(x,y,x) \ z,u,w) = x * L(x \ z,u,w). R(x * L(x \ 1,y,z),u,x) = x * L(x \ 1,y,z). R(T(x * L(x \ 1,y,z),u),w,x) = T(x * L(x \ 1,y,z),u). T(x * L(x \ 1,y,z),u) = T(x * L(x \ 1,y,z),x * u). T(x * L(x \ 1,y,z),x * u) = T(x * L(x \ 1,y,z),u). T((1 / x) * L(x,y,z),(1 / x) * u) = T((1 / x) * L((1 / x) \ 1,y,z),u). T((1 / x) * L((1 / x) \ 1,y,z),u) = T((1 / x) * L(x,y,z),(1 / x) * u). L(x,y,a(z,u,z)) = L(T(x,a(z,u,z)),a(z,u,z),y). L(T(x,a(y,z,y)),a(y,z,y),u) = L(x,u,a(y,z,y)). L(x,a(y,z,y),u) = L(x,u,a(y,z,y)). T((1 / x) * L((1 / x) \ 1,y,z),u) = T(x \ L(x,y,z),(1 / x) * u). T(x \ L(x,y,z),(1 / x) * u) = T((1 / x) * L((1 / x) \ 1,y,z),u). x != T(y,(1 / z) * u) | x = T(y,(z \ 1) * u). T((1 / x) * L((1 / x) \ 1,y,z),u) = T(x \ L(x,y,z),(x \ 1) * u). T(x \ L(x,y,z),(x \ 1) * u) = T((1 / x) * L((1 / x) \ 1,y,z),u). ((x \ K(x,y)) * T(x,z)) \ K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ K(x,y)) \ 1)) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). ((x \ K(x,y)) * T(x,z)) \ K((x \ K(x,y)) * T(x,z),T(x,z) \ ((x \ K(x,y)) \ 1)) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). ((x \ K(x,y)) * T(x,z)) \ K((x \ K(x,y)) * T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). R((x \ y) * x,((x \ y) * x) \ 1,((x * (x \ y)) \ 1) \ 1) = (y / ((x \ y) * x)) \ ((((x \ y) * x) \ 1) \ (((x \ y) * x) \ y)). (x / ((y \ x) * y)) \ ((((y \ x) * y) \ 1) \ (((y \ x) * y) \ x)) = R((y \ x) * y,((y \ x) * y) \ 1,((y * (y \ x)) \ 1) \ 1). (x / ((y \ x) * y)) \ ((((y \ x) * y) \ 1) \ (((y \ x) * y) \ x)) = R((y \ x) * y,((y \ x) * y) \ 1,(x \ 1) \ 1). x != R(y,z,(u \ 1) \ 1) | x = R(y,z,u). (x / ((y \ x) * y)) \ ((((y \ x) * y) \ 1) \ (((y \ x) * y) \ x)) = R((y \ x) * y,((y \ x) * y) \ 1,x). K(x,x \ y) \ ((((x \ y) * x) \ 1) \ (((x \ y) * x) \ y)) = R((x \ y) * x,((x \ y) * x) \ 1,y). K(x,x \ y) \ ((((x \ y) * x) \ 1) \ K(x,x \ y)) = R((x \ y) * x,((x \ y) * x) \ 1,y). K(x,x \ y) \ (((x * (x \ y)) \ 1) \ 1) = R((x \ y) * x,((x \ y) * x) \ 1,y). R((x \ y) * x,((x \ y) * x) \ 1,y) = K(x,x \ y) \ (((x * (x \ y)) \ 1) \ 1). R((x \ y) * x,((x \ y) * x) \ 1,y) = K(x,x \ y) \ ((y \ 1) \ 1). R((x \ y) * x,((x \ y) * x) \ 1,y) = K(x \ y,x) * ((y \ 1) \ 1). x != K(y \ z,y) * ((z \ 1) \ 1) | x = T((y \ z) * y,z \ 1). R((x \ y) * x,((x \ y) * x) \ 1,y) = T((x \ y) * x,y \ 1). T((x \ y) * x,y \ 1) \ y = (((x \ y) * x) \ 1) * y. x != T((y \ z) * y,z \ 1) \ z | x = (z \ 1) * (y * (z / y)). (((x \ y) * x) \ 1) * y = (y \ 1) * (x * (y / x)). K(x,x \ y) * K(y \ 1,y) = (((x \ y) * x) \ 1) * y. (((x \ y) * x) \ 1) * ((y \ 1) \ 1) = K(x,x \ y). ((((x * y) \ x) \ T(((x * y) \ x) * z,y)) \ 1) * ((z \ 1) \ 1) = K(((x * y) \ x) \ 1,(((x * y) \ x) \ 1) \ z). x != K(y \ 1,(y \ 1) \ z) | x = K(y \ 1,z * y). ((((x * y) \ x) \ T(((x * y) \ x) * z,y)) \ 1) * ((z \ 1) \ 1) = K(((x * y) \ x) \ 1,z * ((x * y) \ x)). x != K(((y * z) \ y) \ 1,u) | x = K(z,u). ((((x * y) \ x) \ T(((x * y) \ x) * z,y)) \ 1) * ((z \ 1) \ 1) = K(y,z * ((x * y) \ x)). T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = (y \ T(y * (x \ 1),y)) * R((y \ T(y * (x \ 1),y)) \ 1,z,u). x != (y \ z) * R((y \ z) \ 1,u,w) | x = y \ (z * R(z \ y,u,w)). T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = y \ (T(y * (x \ 1),y) * R(T(y * (x \ 1),y) \ y,z,u)). T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = y \ T((y * (x \ 1)) * R((y * (x \ 1)) \ y,z,u),y). T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = y \ T(y * ((x \ 1) * R((x \ 1) \ 1,z,u)),y). T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = y \ T(y * (x \ R(x,z,u)),y). T(x \ (a(y,x \ 1,y) * R(a(y,x \ 1,y) \ x,z,u)),y) = y \ T(y * (x \ R(x,z,u)),y). x != K(y,(z \ 1) * ((u \ z) * u)) | x = K(y,K(z,u)). K(a(x,y,z),T((((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u),x * (y * z))) = K(a(x,y,z),K((x * y) * z,u)). K(a(x,y,z),T((((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u),x * (y * z))) = K(u,K(a(x,y,z),(x * y) * z)). K(R(T(x,y * (((y \ x) \ 1) \ 1)),x \ y,y \ (y / (((x \ y) \ 1) \ 1))),z) = K(((y \ (y / (x \ y))) * (x \ y)) \ (y / (((x \ y) \ 1) \ 1)),z). L(x,K(y,z),R(K(u,y) * R(K(y,u),w,v5),K(y,z),x)) = x. L(x,K(y,z),K(u,y) * R(K(y,u),w,v5)) = x. L(x,K(y,z),a(K(y,u),w,v5)) = x. (a(K(x,y),z,u) * K(x,w)) * v5 = a(K(x,y),z,u) * (K(x,w) * v5). x != (a(K(y,T(z,u)),w,v5) * K(y,z)) * (K(z,y) * u) | x = u * a(K(y,z),w,v5). a(K(x,T(y,z)),u,w) * (K(x,y) * (K(y,x) * z)) = z * a(K(x,y),u,w). a(K(x,T(y,z)),u,w) * z = z * a(K(x,y),u,w). a(K(x,y),z,u) * w = w * a(K(x,T(y,w)),z,u). x * a(K(y,T(z,x)),u,w) = a(K(y,z),u,w) * x. T(a(K(x,y),z,u),w) = a(K(x,T(y,w)),z,u). a(K(x,T(y,z)),u,w) = T(a(K(x,y),u,w),z). ((x * (K(y,z) * u)) / (x * T(u,K(y,z)))) \ T(x * (K(y,z) * u),K(z,L(y,u,x))) = T(x * (K(y,z) * u),L(K(z,y),u,x)) * L(K(z,y),u,x). K(R(T(x,x),x \ y,y \ (y / (((x \ y) \ 1) \ 1))),z) = K(((y \ (y / (x \ y))) * (x \ y)) \ (y / (((x \ y) \ 1) \ 1)),z). K(R(x,x \ y,y \ (y / (((x \ y) \ 1) \ 1))),z) = K(((y \ (y / (x \ y))) * (x \ y)) \ (y / (((x \ y) \ 1) \ 1)),z). K(((x \ (x / (y \ x))) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,x \ (x / (((y \ x) \ 1) \ 1))),z). K(((x \ (x / (y \ x))) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,x \ (x * (((x \ y) \ 1) \ 1))),z). K(((x \ (x / (y \ x))) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,((x \ y) \ 1) \ 1),z). K(((x \ (x / (y \ x))) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,x \ y),z). K(((x \ y) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,x \ y),z). K(((x \ y) * (y \ x)) \ (x * (((x \ y) \ 1) \ 1)),z) = K(R(y,y \ x,x \ y),z). x != K(y \ (z * (((z \ u) \ 1) \ 1)),w) | x = K(y \ u,w). K(R(x,x \ y,y \ x),z) = K(((y \ x) * (x \ y)) \ x,z). K(((x \ y) * (y \ x)) \ y,z) = K(R(y,y \ x,x \ y),z). K((T(x,y) * ((x * y) \ y)) \ (x * y),z) = K(R(x * y,(x * y) \ y,y \ (x * y)),z). K(R(x * y,(x * y) \ y,y \ (x * y)),z) = K((T(x,y) * ((x * y) \ y)) \ (x * y),z). K(R(x * y,(x * y) \ y,y \ (x * y)),z) = K((x * ((y * x) \ y)) \ (x * y),z). x != K((y * (z \ u)) \ (y * u),w) | x = L(K(T(z,u),w),u,y). K(R(x * y,(x * y) \ y,y \ (x * y)),z) = L(K(T(y * x,y),z),y,x). K(R(x * y,(x * y) \ y,T(x,y)),z) = L(K(T(y * x,y),z),y,x). K(R(x * y,(x * y) \ y,T(x,y)),z) = L(K(y * x,T(z,y)),y,x). L(K(x * y,T(z,x)),x,y) = R(K(y * x,z),x,T(y,x)). R(K(x * y,z),y,T(x,y)) = L(K(y * x,T(z,y)),y,x). (K(x * y,z) * ((x * y) / x)) * x = (x * y) * L(K(y * x,T(z,y)),y,x). (K(x * y,z) * ((x * y) / x)) * x = x * (y * K(y * x,T(z,y))). (K(x * y,z) * ((x * y) / x)) * x = x * (K(y * x,z) * y). (K(x * y,z) * y) * T(x,y) = x * (K(y * x,z) * y). x * K(y * x,z) = K(x * y,z) * x. K(x * y,z) * x = x * K(y * x,z). K(x * y,z) = K(y * x,T(z,x)). K(x * y,T(z,y)) = K(y * x,z). K(x * y,T(z,x)) = K(y * x,z). x * (y \ 1) != (y \ 1) * K(z,T(u,y)) | x = K(z,u). K((x \ 1) * y,T(z,x)) = K(y * (x \ 1),z). K(x,T(y,z)) = K(z * (x / z),y). K(x * (y / x),z) = K(y,T(z,x)). K(x * T(x \ y,z),T(u,x)) = K(x * T(y / x,z),u). (x * (y * z)) \ K(y * x,T(y \ (x \ 1),x)) = L(z,y,x) \ (1 / (x * y)). K(x,T(y,z)) = K((z \ x) * z,y). K((x \ y) * x,z) = K(y,T(z,x)). K(x * K(y,(x \ z) \ 1),T(u,z)) = K(((y * (z \ x)) / y) * z,u). K(((x * (y \ z)) / x) * y,u) = K(z * K(x,(z \ y) \ 1),T(u,y)). K(x * y,z) * T(z,T(z * (y * x),y)) = L(z,y * x,z). K(T(x,y) * y,z) = K(x * y,T(z,x)). K(x * T(y / x,z),u) = K(y * K((y \ x) \ 1,z),T(u,x)). K(x * K((x \ y) \ 1,z),T(u,y)) = K(y * T(x / y,z),u). x != K(y,T(T(y,z),u)) | x = 1. K((x \ y) * x,T(y,z)) = 1. x != K((y \ z) * y,z \ (y * u)) | x = K((y \ z) * y,(y \ z) \ u). K(x,T(x \ (y * z),y)) = K((y \ x) * y,(y \ x) \ z). K((x \ y) * x,(x \ y) \ z) = K(y,T(y \ (x * z),x)). T(x,(y \ z) * y) = x / K(z,T(x,y)). x != K((y \ z) * y,T(z,u)) | x = 1. K(T(x \ y,x) * x,y) = 1. x * K(T(y \ z,y) * y,z) = x. x != y / K(z,T(y,u)) | x = T(y,T(z,u)). T(x,(y \ z) * y) = T(x,T(z,y)). T(x,y * z) = T(x,T(z * y,z)). T(x,T(y * z,y)) = T(x,z * y). T(x,(x \ y) * x) != z | T(x,y) = z. T(x,T(y * z,y)) = x * K(x,z * y). x != T(y,T(z * u,z)) | x = T(T(y,K(u,z)),z * u). T(x,y * z) = T(T(x,K(y,z)),z * y). T(T(x,K(y,z)),z * y) = T(x,y * z). T(x,T(y * x,z)) != u | T(x,T(x * y,z)) = u. K(x,T((y \ 1) * z,y)) = K(x,z * (y \ 1)). K(x,T(y * z,y)) = K(x,z * y). K(x \ 1,T((y \ x) * z,y)) = K(x \ 1,z * (y \ x)). K(x,T(y * (z \ x),z)) = K(x,(z \ x) * y). x != K(y,z * u) | x = K(y,(z \ 1) \ u). K(x,T(y * z,y)) = K(x,(z \ 1) \ y). K(x,T(y,z)) = K(x,(z \ y) * z). K(x,(y \ z) * y) = K(x,T(z,y)). T(x * y,T(z,x)) \ 1 = (x * y) \ K(z,y * x). K(T(x,y),z * y) != u | K(x,y * z) = u. T(T(x,y * z),K(y,z)) = T(x,z * y). T(x / y,z * (y \ x)) = T(x / y,(y \ x) * z). T(x / y,(y \ x) * z) = T(x / y,z * (y \ x)). T(T(x,y * z),K(y,z)) != u | T(x,z * y) = u. K(x,T(y * z,y)) != u | K(x,z * y) = u. T(T(x,K(y,z)),z * y) != u | T(x,y * z) = u. K(x,T(y * z,z)) != u | K(x,z * y) = u. K(x \ (1 * ((y * (1 \ z)) / y)),T(u,x)) = K(((y * ((x \ 1) \ (x \ z))) / y) * (x \ 1),u). K(((x * ((y \ 1) \ (y \ z))) / x) * (y \ 1),u) = K(y \ (1 * ((x * (1 \ z)) / x)),T(u,y)). x != K(y,(z * u) * (u \ 1)) | x = R(K(y,z),u,u \ 1). K(x,T((y \ 1) * (z * y),y)) = R(K(x,z),y,y \ 1). x != K(y,T(R(z,u,w) * (z \ y),z)) | x = K(y,y * (z \ R(z,u,w))). K(x,(y \ x) * R(y,z,u)) = K(x,x * (y \ R(y,z,u))). T(T(x,K(y,K(z,u))),K(u,z) * y) != w | T(x,y * K(u,z)) = w. T(T(x,K(y,K(z,u))),K(z,z * u) * y) != w | T(x,y * K(z,z * u)) = w. T(T(x,K(y,z)),T(T(z,u),u) * y) != w | T(x,y * T(T(z,u),u)) = w. x != (K(y,z) * K(u,y)) \ K(w,K(u,y) * K(y,z)) | x = K(y,T(u,w)) * K(z,T(y,w)). T(K(x,y) * K(z,x),T(u,K(x,y))) \ 1 = K(x,T(z,u)) * K(y,T(x,u)). x != T(1 / y,z * (y \ 1)) | x = T(1 / y,y \ z). T(1 / x,(x \ 1) * y) = T(1 / x,x \ y). T(1 / x,x \ y) * L(T(1 / x,(x \ 1) * y) \ 1,z,u) = T((1 / x) * L((1 / x) \ 1,z,u),(x \ 1) * y). x != K(y,T((z \ 1) * (u * z),z)) | x = K(y,L(u,z,z \ 1)). R(K(x,y),z,z \ 1) = K(x,L(y,z,z \ 1)). x != R(K(y,z),u,u \ 1) | x = K(y,R(z,u,u \ 1)). K(x,L(y,z,z \ 1)) = K(x,R(y,z,z \ 1)). K(x,R(y,z,z \ 1)) = K(x,L(y,z,z \ 1)). x != K(y,L(z,u,u \ 1)) | x = K(y,z). K(x,R(y,z,z \ 1)) = K(x,y). K((x \ 1) * T((x \ 1) \ y,z),T(u,x)) = K((x \ 1) * T(y / (x \ 1),z),u). x != K((y \ z) * y,u) | x = K(z,T(u,y)). K(x,T(x \ (y * z),y)) = K(x,T((y \ x) \ z,y)). K(x,T((y \ x) \ z,y)) = K(x,T(x \ (y * z),y)). K(x,y / (z \ x)) = K(x,T(x \ (z * y),z)). K(x,T(x \ (y * z),y)) = K(x,z / (y \ x)). x != K(y,T(y \ (z * u),z)) | x = K(y,u * (y \ z)). K(x,y / (z \ x)) = K(x,y * (x \ z)). x != K(1 / y,z / (u \ (1 / y))) | x = K(1 / y,(1 / y) \ (z / ((y * u) \ y))). K(1 / x,y * ((1 / x) \ z)) = K(1 / x,(1 / x) \ (y / ((x * z) \ x))). K(1 / x,(1 / x) \ (y / ((x * z) \ x))) = K(1 / x,y * ((1 / x) \ z)). x != K(y \ 1,T((z \ y) * u,z)) | x = K(T(1 / y,z),(1 / z) * (T(1 / y,z) \ u)). K(x \ 1,y * (z \ x)) = K(T(1 / x,z),(1 / z) * (T(1 / x,z) \ y)). K(T(1 / x,y),(1 / y) * (T(1 / x,y) \ z)) = K(x \ 1,z * (y \ x)). K((x / y) \ 1,z) * T(z,T(z * ((y / x) * ((y / x) \ ((x / y) \ 1))),y / x)) = L(z,(y / x) * ((y / x) \ ((x / y) \ 1)),z). T(K(x,y) * K(y,z),u) \ 1 = K(y,T(x,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). x != K(y,z * ((1 / u) \ w)) | x = K(y,z * ((u \ 1) \ w)). K(1 / x,(1 / x) \ (y / ((x * z) \ x))) = K(1 / x,y * ((x \ 1) \ z)). K(T(1 / x,y),y \ (T(1 / x,y) \ z)) = K(x \ 1,z * (y \ x)). x != K(T(y,z),z \ (T(y,z) \ u)) | x = K(y,y \ (u / z)). K(x \ 1,y * (z \ x)) = K(1 / x,(1 / x) \ (y / z)). K(1 / x,(1 / x) \ (y / z)) = K(x \ 1,y * (z \ x)). K(1 / x,(1 / x) \ (y / ((x * z) \ x))) = K(x \ 1,y * ((x \ 1) \ z)). x != K(1 / y,(1 / y) \ (z / u)) | x = K(y \ 1,z * (u \ y)). K(x \ 1,y * ((x \ 1) \ z)) = K(x \ 1,y * (((x * z) \ x) \ x)). K(x \ 1,y * (((x * z) \ x) \ x)) = K(x \ 1,y * ((x \ 1) \ z)). (x * (y * z)) \ K(y * x,x \ (1 / y)) = L(z,y,x) \ (1 / (x * y)). (x * (y * z)) \ K(y * x,x \ (y \ 1)) = L(z,y,x) \ (1 / (x * y)). L(x,y,z) \ (1 / (z * y)) = ((z * (y * x)) \ (y * z)) * (1 / (y * z)). ((x * (y * z)) \ (y * x)) * (1 / (y * x)) = L(z,y,x) \ (1 / (x * y)). K(x \ T(x * y,z),T(u,x)) = K((x \ 1) * T(y / (x \ 1),z),u). K(x \ T(y * x,z),u) = K((x \ 1) * T(y / (x \ 1),z),u). K((x \ 1) * T(y / (x \ 1),z),u) = K(x \ T(y * x,z),u). a(x,y,R(x,z,u)) * w = R(T(x,v5),y,R(x,z,u)) * (T(x,v5) \ w). R(T(x,y),z,R(x,u,w)) * (T(x,y) \ v5) = a(x,z,R(x,u,w)) * v5. (R(T(x,y),z,T(x,y)) * (T(x,y) \ u)) * w = (a(x,z,R(x,x \ u,w)) * u) * w. (R(T(x,y),z,T(x,y)) * (T(x,y) \ u)) * w = (R(a(x,z,x),u,w) * u) * w. (R(T(x,y),z,x) * (T(x,y) \ u)) * w = (R(a(x,z,x),u,w) * u) * w. (T(x,y) * (L(T(x,y),z,x) \ u)) * w = (R(a(x,z,x),u,w) * u) * w. (x * a(y,z,y)) * u = (R(a(y,z,y),x,u) * x) * u. (R(a(x,y,x),z,u) * z) * u = (z * a(x,y,x)) * u. x * y != (R(a(z,u,z),w,v5) * w) * v5 | x \ ((w * a(z,u,z)) * v5) = y. ((a(x,y,x) * z) * u) \ ((z * a(x,y,x)) * u) = a(R(a(x,y,x),z,u),z,u). x != ((y * z) * u) \ ((z * y) * u) | x = K(z,T(y,u)). a(R(a(x,y,x),z,u),z,u) = K(z,T(a(x,y,x),u)). a(R(a(x,y,x),z,u),z,u) = K(z,a(x,y,x)). x != K(y,a(z,u,z)) | x = 1. a(R(a(x,y,x),z,u),z,u) = 1. L(x,y,R(a(z,u,z),y,x)) = x. (R(a(x,y,x),z,u) * (T(z,R(a(x,y,x),z,u)) * u)) / u = z * R(a(x,y,x),z,u). (R(a(x,y,x),z,u) * (z * u)) / u = z * R(a(x,y,x),z,u). a(x,y,x) * z = z * R(a(x,y,x),z,u). x * R(a(y,z,y),x,u) = a(y,z,y) * x. x * y != a(z,u,z) * x | y = a(z,u,z). R(a(x,y,x),z,u) = a(x,y,x). x != a(y,z,y) | x = L(a(y,z,y),u,w). R(a(x,y,x),z,u) = L(a(x,y,x),w,v5). a(x,y,x) = ((a(x,y,x) * R(z,u,w)) * (u * w)) / ((z * u) * w). ((a(x,y,x) * R(z,u,w)) * (u * w)) / ((z * u) * w) = a(x,y,x). x != R(a(y,z,y),y * u,w) | x = a(y,z,R(y,u,w)). a(x,y,x) = a(x,y,R(x,z,u)). a(x,y,R(x,z,u)) = a(x,y,x). x != R(a(y,z * K(u,z),y),z * K(u,z),u) | x = L(a(y,z,y),z,u). a(x,y * K(z,y),x) = L(a(x,y,x),y,z). a(x,y,x) * (z * u) = (a(x,y,x) * z) * u. (a(x,y,x) * z) * u = a(x,y,x) * (z * u). L(x,y,a(z,u,z)) = x. x != y | x = T(y,a(z,u,z)). L(x,y,a(z,u,z)) = T(x,a(w,v5,w)). T(x,a(y,z,y)) = L(x,u,a(w,v5,w)). x != L(y,z,a(u,w,u)) | x = L(y,a(u,w,u),z). x = L(x,a(y,z,y),u). L(x,a(y,z,y),u) = x. x != L(T(y,z),z,a(u,w,u)) | x = T(y,z * a(u,w,u)). T(x,y) = T(x,y * a(z,u,z)). T(x,y * a(z,u,z)) = T(x,y). (a(x,y,x) * z) / u = a(x,y,x) * (z / u). ((a(x,y,x) * (z * u)) * w) / (u * w) = R(a(x,y,x) * z,L(u,z,a(x,y,x)),w). R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = ((a(x,y,x) * (z * u)) * w) / (u * w). x != L(K(y,z),u,w) | x = K(L(y,u,w),z). K(x,y) = K(L(x,a(z,u,z),w),y). K(L(x,a(y,z,y),u),w) = K(x,w). a(x,y,x) \ (z \ u) = (z * a(x,y,x)) \ u. (x * a(y,z,y)) \ u = a(y,z,y) \ (x \ u). (x * a(y,z,y)) * u = x * (a(y,z,y) * u). K(x,y) * a(x,x \ y,x) = K(x,R(x,z,u) \ y). K(x,R(x,y,z) \ u) = K(x,u) * a(x,x \ u,x). x * y != T(z,u * a(w,v5,w)) | x \ T(z,u) = y. x \ T(x,y) = K(x,y * a(z,u,z)). K(x,y * a(z,u,z)) = x \ T(x,y). T(x,(y * z) * y) = T(x,y * (z * y)). T(x,T(y,z) / z) = T(x,z \ y). T(x,y) = T(x,a(z,u,z) \ y). T(x,a(y,z,y) \ u) = T(x,u). T(x,a(y,z,y)) != u | u = x. L(x,y,a(z,u,z)) != w | w = x. T(x,y * a(z,u,z)) != w | w = T(x,y). T(x,y * a(z,u,z)) != w | T(x,y) = w. K(x,y * a(z,u,z)) = K(x,y). K(x,L(y,z,y) \ u) = K(x,y \ u). K(x,y) = K(x,a(z,u,z) \ y). K(x,a(y,z,y) \ u) = K(x,u). K(x,y * R(z,u,z)) = K(x,y * z). K(x,R(y,z,y) * u) = K(x,y * u). K(x,y \ z) = K(x,R(y,u,y) \ z). K(x,R(y,z,y) \ u) = K(x,y \ u). K(x,T(y,z) \ u) = K(x,((y \ z) \ z) \ u). K(x,((y \ z) \ z) \ u) = K(x,T(y,z) \ u). K(x,y * ((z \ u) \ u)) = K(x,y * T(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). L(K(x,y \ (z \ u)),z \ u,z) = K(x,T(y * z,y) \ u). R(a(x,y,x),z,u) != w | w = a(x,y,x). R(a(x,y,x),z,u) != w | a(x,y,x) = w. T(x,y * (z \ y)) = T(x,(y / z) * ((z * K(z \ y,z)) * (y / z))). T(x,(y / z) * ((z * K(z \ y,z)) * (y / z))) = T(x,y * (z \ y)). x != L(a(y,z,y),u,w) | x = a(y,z,y). a(x,y * K(z,y),x) = a(x,y,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). a(x,y * K(z,y),x) != u | a(x,y,x) = u. a(x,y,x) = a(x,T(y,z),x). a(x,T(y,z),x) = a(x,y,x). a(x,y / z,x) = a(x,z \ y,x). x != a(y,z,y) | x = K(y * z,T(T(y,u),w)) * K(y,T(T(z,u),w)). a(x,T(y,z),x) = K(x * y,T(T(x,u),w)) * K(x,T(T(y,u),w)). a(x,R(y \ z,u,w),x) = a(x,R(z / y,u,w),x). a(x,R(y / z,u,w),x) = a(x,R(z \ y,u,w),x). a(1 / ((x * y) \ x),z,1 / ((x * y) \ x)) * K(T(z,y),1 / ((x * y) \ x)) = K(z * (1 / ((x * y) \ x)),1 / ((x * y) \ x)). x != a(y,(z * u) \ u,y) | x = a(y,z \ 1,y). a(x,y / (z * y),x) = a(x,z \ 1,x). a(x,K(y,y \ 1) / a(z,u,w),x) = a(x,((z * (u * (w * K(y,y \ 1)))) \ ((z * u) * w)) \ 1,x). a(x,((y * (z * (u * K(w,w \ 1)))) \ ((y * z) * u)) \ 1,x) = a(x,K(w,w \ 1) / a(y,z,u),x). a(x,y / z,x) != u | a(x,z \ y,x) = u. a(x,R(y / z,z,u),x) != w | a(x,(z * u) \ (y * u),x) = w. a(a(x,y,x) * z,u,w) = (a(x,y,x) * (z * (u * w))) \ (((a(x,y,x) * z) * u) * w). (a(x,y,x) * (z * (u * w))) \ (((a(x,y,x) * z) * u) * w) = a(a(x,y,x) * z,u,w). 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). a(x,y,x) \ (z \ u) = (a(x,y,x) * z) \ u. (a(x,y,x) * z) \ u = a(x,y,x) \ (z \ u). R(x,a(y,z,y),u) = x. T((a(x,y,x) * z) \ (u * z),a(x,y,x)) = T(a(x,y,x) \ u,a(x,y,x) * z). K(x,((y \ z) \ z) \ u) = (w * K(T(y,z) \ u,x)) \ w. x != K(y \ 1,z * (((y * u) \ y) \ y)) | x = K(y \ 1,z * ((y \ 1) \ u)). K(x \ 1,y * T(x * z,x)) = K(x \ 1,y * ((x \ 1) \ z)). K(x,y * (z \ u)) = K(x,y * T(u / z,u)). K(x,y * T(z / u,z)) = K(x,y * (u \ z)). K(x,(y \ z) * u) = K(x,T(z / y,z) * u). K(x,T(y / z,y) * u) = K(x,(z \ y) * u). x != K(y,T(z,u) \ w) | x = K(y,((z \ u) \ u) \ w). K(x,T(y,y \ z) \ u) = K(x,((y \ z) \ z) \ u). K(x,(a(y,z,y) * u) \ w) = K(x,u \ w). L(K(x,y \ z),z,a(u,w,u)) = K(x,y \ (a(u,w,u) * z)). K(x,T(y * z,y) \ u) = K(x,(z * y) \ u). K(x,T(y,z) \ u) = K(x,((z \ y) * z) \ u). K(x,((y \ z) * y) \ u) = K(x,T(z,y) \ u). x != K(y,z) * a(y,y \ z,y) | x = K(y,y \ z). K(x,R(x,y,z) \ u) = K(x,x \ u). K(x,y \ x) = K(x,x \ ((x * R(T(x,z),u,w)) / y)). K(x,x \ ((x * R(T(x,y),z,u)) / w)) = K(x,w \ x). K(x,y \ x) = K(x,R(T(x,z),u,w) / y). K(x,R(T(x,y),z,u) / w) = K(x,w \ x). K(x,y \ R(x,z,u)) = K(x,y \ x). x != K(y,R(z,u,w) \ R(y,u,w)) | x = K(R(y,u,w),z \ y). K(x,R(y,z,u) \ x) = K(R(x,z,u),y \ x). K(R(x,y,z),u \ x) = K(x,R(u,y,z) \ x). x != K(R(y,z,u),R(y / w,w,L(K(v5,y),v6,v7)) \ y) | x = K(R(y,z,u),w). K(x,R(R(x / y,y,L(K(z,x),u,w)),v5,v6) \ x) = K(R(x,v5,v6),y). K(x,((y \ z) \ z) \ u) != w | K(x,T(y,z) \ u) = w. K(x,T(y * z,y) \ u) != w | K(x,(z * y) \ u) = w. K(x,y \ (a(z,u,z) * w)) = K(x,y \ w). K(x,y \ T(z * u,z)) = K(x,y \ (u * z)). a(x,R(y \ z,y,u),x) != w | a(x,(y * u) \ (z * u),x) = w. (R(x * a(y,x,y),z,u) * (z * u)) / ((x * z) * u) = a(y,R(x,z,u),y). K(x * T(y,z),T(x,u)) = K(x * y,T(T(x,u),z)). K(x * T(y,z),T(x,u)) = T(K(x * y,T(x,u)),z). K(x * T(y,z),T(x,u)) = T(K(x * y,x) * K(x,K(y,u)),z). T(K(x * y,x) * K(x,K(y,z)),u) = K(x * T(y,u),T(x,z)). T(K(x * y,y) * K(y,K(x,z)),u) = K(y * T(x,u),T(y,z)). K(x,K(y,T(z,u))) * K(y * x,T(x,u)) = K(x * T(y,u),T(x,z)). T(x,(y / z) * y) = T(x,y * (z \ y)). x != L(a(y,L(z,u,w),y),L(z,u,w),w * u) | x = (w * (u * z)) \ (w * (u * (T(y * z,y) / y))). a(x,L(y * K(z * u,y),u,z),x) = (z * (u * y)) \ (z * (u * (T(x * y,x) / x))). (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) = a(u,L(z * K(x * y,z),y,x),u). x != K(y,R(R(y / z,u,w),v5,v6) \ y) | x = R(R(K(y,z),u,w),v5,v6). K(R(x,y,z),u) = R(R(K(x,u),u,L(K(w,x),v5,v6)),y,z). R(R(K(x,y),y,L(K(z,x),u,w)),v5,v6) = K(R(x,v5,v6),y). R(K(x,y),z,u) = K(R(x,z,u),y). R(K(x,y),K(x,z),u) = K(x,y). R(x * K(R(y,z,u),x),w,x) \ R(x,w,x) = R(K(x,y),z,u). K(x,y) * (K(x,z) * u) = (K(x,y) * K(x,z)) * u. (K(x,y) * K(x,z)) * u = K(x,y) * (K(x,z) * u). L(x,K(y,z),K(y,u)) = x. (K(x,y) * K(z,y)) * (K(y,x) * (K(y,z) * u)) = L(u,K(y,x) * K(y,z),K(x,y) * K(z,y)). K(x,y) * (K(z,y) * u) = (K(y,z) * K(y,x)) \ u. (K(x,y) * K(x,z)) \ u = K(z,x) * (K(y,x) * u). x != (K(y,z) * K(y,u)) \ K(y,y \ 1) | x = ((y \ K(y,z)) * T(y,u)) \ 1. K(x,y) * (K(z,y) * K(y,y \ 1)) = ((y \ K(y,z)) * T(y,x)) \ 1. K(x,R(y,z,u)) * (R(x,w,x) \ R(x,w,x)) = R(K(x,y),z,u). K(x,R(y,z,u)) * 1 = R(K(x,y),z,u). K(x,R(y,z,u)) = R(K(x,y),z,u). R(K(x,y),z,u) = K(x,R(y,z,u)). R(K(x,y),z,u) != w | w = K(x,R(y,z,u)). R(K(x,y),z,u) != w | K(x,R(y,z,u)) = w. x != R(K(y,z),u,w) | x = K(R(y,u,w),z). K(x,R(y,z,u)) = K(R(x,z,u),y). K(R(x,y,z),u) = K(x,R(u,y,z)). K(x,y) * K(y,R(x,z,u)) = a(K(y,x),z,u). T(x,x * y) * a(K(x,y),z,u) = L(x * K(x,R(y,z,u)),y,x). K(x,R(x * y,z,u)) = K(R(x,y,z),R(x * y,y * z,u)). K(R(x,y,z),R(x * y,y * z,u)) = K(x,R(x * y,z,u)). x != K(y,R(z,u,u \ 1)) | x = K(y,z). K(R(x,y,y \ 1),z) = K(x,z). K(R(x,y,z),u) != w | K(x,R(u,y,z)) = w. x != K(y,z) * K(z,R(y,u,w)) | x = a(K(z,y),u * y,w). a(K(x,y),z,u) = a(K(x,y),z * y,u). a(K(x,y),z * y,u) = a(K(x,y),z,u). a(K(x,K(y,z)),u,w) = K(a(K(y,x),u * x,w),z). K(a(K(x,y),z * y,u),w) = a(K(y,K(x,w)),z,u). x != K(a(K(y,z),u,w),v5) | x = a(K(y,K(z,v5)),u,w). a(K(x,K(y,z)),u,w) = a(K(y,K(x,z)),u * x,w). a(K(x,K(y,z)),u * y,w) = a(K(y,K(x,z)),u,w). K(x,R(R(x * y,y * z,u),y,z)) = K(x,R(x * y,z,u)). T(x,x * y) * a(K(x,y),z,u) = L(T(x,R(y,z,u)),y,x). K(x,K(y,T(z,u))) * w != K(x * T(y,u),T(x,z)) | w = K(x * T(y,u),x). K(x * y,T(y,z)) = K(y * T(x,z),y). K(x * T(y,z),x) = K(y * x,T(x,z)). T(x,x * T(y,z)) = 1 / (x \ K(y * x,T(x,z))). 1 / (x \ K(y * x,T(x,z))) = T(x,x * T(y,z)). T(x,T(y * x,z)) = T(x,x * T(y,z)). T(x,T(x * y,z)) = T(x,x * T(y,z)). T(x / T(y,x),z) * T(y,T(y * (y \ x),z)) = y * T(y \ x,z). K(x,y) * (y * (K(z,y) / y)) = ((y \ K(y,z)) * T(y,x)) \ 1. ((x \ K(x,y)) * T(x,z)) \ 1 = K(z,x) * (x * (K(y,x) / x)). ((x \ K(x,y)) * T(x,z)) \ 1 = x * (K(z,x) * (K(y,x) / x)). ((x \ K(x,y)) * T(x,z)) \ 1 = x * (K(y,x) / T(x,z)). K((x * (K(y,x) / T(x,z))) \ 1,u * (K(w,u) / T(u,v5))) = K(((x \ 1) \ K(y,x)) \ T(x,z),T(u,v5) \ ((u \ 1) \ K(w,u))). K(((x \ 1) \ K(y,x)) \ T(x,z),T(u,w) \ ((u \ 1) \ K(v5,u))) = K((x * (K(y,x) / T(x,z))) \ 1,u * (K(v5,u) / T(u,w))). T(x / T(y,x),z) * T(y,T(x,z)) = y * T(y \ x,z). x != T(y / T(z,y),u) * T(z,T(y,u)) | x = y * K(T(y,z) / z,u). x * T(x \ y,z) = y * K(T(y,x) / x,z). x * K(T(x,y) / y,z) = y * T(y \ x,z). x * y != z * T(z \ x,u) | y = K(z \ x,u). K(T(x,y) / y,z) = K(y \ x,z). 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 \ 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 != L(y * K(z,u),K(u,z),y * K(z,u)) | x = T(K(z,u) * y,y). x * K(y,z) = T(K(y,z) * x,x). T(K(x,y) * z,z) = z * K(x,y). T(x * T(x \ y,z),y) = y * K((x / y) \ 1,z). K((T(x,y) \ y) \ 1,z) = K((y / x) \ 1,z). (((x * a(y,x,y)) * z) * u) / ((x * z) * u) = a(y,R(x,z,u),y). ((x * (a(y,x,y) * z)) * u) / ((x * z) * u) = a(y,R(x,z,u),y). ((x * (a(y,x,y) * (x \ z))) * u) / (z * u) = a(y,R(x,x \ z,u),y). ((a(x,y,x) * z) * u) / (z * u) = a(x,R(y,y \ z,u),x). a(x,R(y,y \ z,u),x) = ((a(x,y,x) * z) * u) / (z * u). a(x,R(y,y \ z,u),x) = R(a(x,y,x),z,u). a(x,R(y,z,u),x) = R(a(x,y,x),y * z,u). R(a(x,y,x),y * z,u) = a(x,R(y,z,u),x). a(x,y,x) = a(x,R(y,z,u),x). a(x,R(y,z,u),x) = a(x,y,x). a(x,(y * z) \ (u * z),x) = a(x,y \ u,x). a(x,y,x) * (R(y,z,u) * x) = T(x * R(y,z,u),x). a(x,y,x) * T(x,z) = R(T(x,z),R(y,u,w),x). R(T(x,y),R(z,u,w),x) = a(x,z,x) * T(x,y). (x / y) \ (a(y,z \ u,y) \ x) = L(y,(z * w) \ (u * w),y). L(x,(y * z) \ (u * z),x) = (w / x) \ (a(x,y \ u,x) \ w). x != a(y,z,y) * T(y,u) | x = R(T(y,u),z,y). R(T(x,y),R(z,u,w),x) = R(T(x,y),z,x). R(x,y,z) * R(T(u,x * u),x,u) = T(u * R(x,y,z),u * x). R(x,y,z) * R(u,x,u) = T(u * R(x,y,z),u). (R(x,y,z) * R(u,x,u)) \ ((u * R(x,y,z)) * u) = T(u,u * R(x,y,z)). x != (y / z) \ (a(z,u,z) \ y) | x = L(z,u,z). L(x,(y * z) \ (u * z),x) = L(x,y \ u,x). R(x,y,z) * T(u,x) = T(u * R(x,y,z),u * x). T(x * R(y,z,u),x * y) = R(y,z,u) * T(x,y). K(x * y,x * R(y,z,u)) = (x * R(y,z,u)) / (R(y,z,u) * T(x,y)). (x * R(y,z,u)) / (R(y,z,u) * T(x,y)) = K(x * y,x * R(y,z,u)). x != (y * z) / (z * T(y,u)) | x = T(K(u,y) * K(y,z),z). K(x * y,x * R(y,z,u)) = T(K(y,x) * K(x,R(y,z,u)),R(y,z,u)). T(K(x,y) * K(y,R(x,z,u)),R(x,z,u)) = K(y * x,y * R(x,z,u)). T(a(K(x,y),z * y,u),R(y,z,u)) = K(x * y,x * R(y,z,u)). x != T(a(K(y,z),u,w),v5) | x = a(K(y,T(z,v5)),u,w). K(x * y,x * R(y,z,u)) = a(K(x,T(y,R(y,z,u))),z * y,u). K(x * y,x * R(y,z,u)) = a(K(x,y),z * y,u). R(K(x * y,x * R(y,z,u)),x * R(y,z,u),w) = a(K(x,y),z * y,u). K(x,(x / y) * R(y,z,u)) = a(K(x / y,y),z * y,u). x != K(y,(y / z) * u) | x = K(y,(z \ y) * u). a(K(x / y,y),z * y,u) = K(x,(y \ x) * R(y,z,u)). K(x,(y \ x) * R(y,z,u)) = a(K(x / y,y),z * y,u). x != K(y,(z \ y) * R(z,u,w)) | x = K(y,y * (z \ R(z,u,w))). a(K(x / y,y),z * y,u) = K(x,x * (y \ R(y,z,u))). K(x,x * (y \ R(y,z,u))) = a(K(x / y,y),z * y,u). K(x,x * (y \ R(y,z,u))) = a(K(y \ x,y),z * y,u). x != (y * R(z,u,z)) \ ((z * y) * z) | x = L(T(z,y),u,T(z,y)). T(x,x * R(y,z,u)) = L(T(x,R(y,z,u)),y,T(x,R(y,z,u))). L(T(x,R(y,z,u)),y,T(x,R(y,z,u))) = T(x,x * R(y,z,u)). R(a(K(x,y),z * y,u),x * R(y,z,u),w) = a(K(x,y),z * y,u). (a(x,y,x) * (z * u)) \ (a(x,y,x) * (z * (u * w))) = L(w,u,a(x,y,x) * z). T(a(x,y,x) \ z,a(x,y,x) * u) = (a(x,y,x) * u) \ (z * u). T(a(x,y,x) \ z,u * a(x,y,x)) = (a(x,y,x) * u) \ (z * u). x != (a(y,z,y) * u) \ w | x = a(y,z,y) \ (u \ w). T(a(x,y,x) \ z,u * a(x,y,x)) = a(x,y,x) \ (u \ (z * u)). T(a(x,y,x) \ z,u * a(x,y,x)) = a(x,y,x) \ T(z,u). T(a(x,y,x) \ z,u) = a(x,y,x) \ T(z,u). a(x,y,x) \ T(z,u) = T(a(x,y,x) \ z,u). K(x,y) * T(a(x,y,x) \ z,u) = K(x,x * y) * T(z,u). K(x,y) * T(z,u) = K(x,x * y) * T(a(x,y,x) * z,u). K(x,x * y) * T(a(x,y,x) * z,u) = K(x,y) * T(z,u). a(x,y,x) * T(z,u) = T(a(x,y,x) * z,u). T(a(x,y,x) * z,u) = a(x,y,x) * T(z,u). (x * (y * T(a(z,u,z) * (a(z,u,z) \ (y \ (x \ w))),v5))) \ w = K(v5,(x * (y * a(z,u,z))) \ w). T(x * a(y,z,y),u) = a(y,z,y) * T(x,u). x * y != a(z,u,z) * T(w,v5) | x \ T(w * a(z,u,z),v5) = y. a(x,y,x) \ T(z * a(x,y,x),u) = T(z,u). a(x,y,x) \ T(z * a(x,y,x),u) = z * K(z,u). K(x * a(y,z,y),u) = K(x,u). K(a(x,y,x) * z,u) = K(z,u). x != K(y,z) | x = K(L(y,a(u,w,u),v5),z). K(a(x,y,x) * z,u) = K(L(z,a(w,v5,w),v6),u). K(L(x,a(y,z,y),u),w) = K(a(v5,v6,v5) * x,w). K(a(x,y,x) * z,u) != w | K(z,u) = w. K(x * a(y,z,y),u) != w | K(x,u) = w. K(T(x,y) / y,z) != u | K(y \ x,z) = u. K(x / T(y,x),z) != u | K(y \ x,z) = u. L(L(x,y,z),z * y,a(u,w,u)) = L(x,y,a(u,w,u) * z). L(x,y,a(z,u,z) * w) = L(x,y,w). L(x,y,z) = L(x,y,a(u,w,u) \ z). L(x,y,a(z,u,z) \ w) = L(x,y,w). L(x,y,K(z \ u,z)) = L(x,y,K(u,z)). L(x,y / z,K(y,z)) = x. (x / T(y,x)) * z = K(x,y) * ((x / y) * z). K(x,y) * ((x / y) * z) = (x / T(y,x)) * z. K(x,y) * ((y / T(x,y)) * z) = (y / x) * z. R(K(x,y),x \ y,z) = K(x,y). R(K(x,x * y),y,z) = K(x,x * y). x != R(K(y,y * z),u,w) | x = K(y,R(z \ 1,u,w) \ y). K(x,x * y) = K(x,R(y \ 1,y,z) \ x). K(x,R(y \ 1,y,z) \ x) = K(x,x * y). T(x,R(y \ 1,y,z) \ x) = x * K(x,x * y). R(K(x,x * y),y * z,u) = K(x,((z * u) / ((y * z) * u)) \ x). T(x,R(y \ 1,y,z) \ x) = T(x,x * y). T(x,(y / (z * y)) \ x) = T(x,x * z). T(x,(y / z) \ x) = T(x,x * (z / y)). x != T(y,(z / u) \ y) | x = T(y,(u * y) / z). T(x,x * (y / z)) = T(x,(y * x) / z). T(x,(y * x) / z) = T(x,x * (y / z)). T(x,(y * x) / z) = x * K(x,x * (y / z)). x * K(x,x * (y / z)) = T(x,(y * x) / z). K(x,x * (y / z)) = K(x,(y * x) / z). K(x,(y * x) / z) = K(x,x * (y / z)). K(x,(y / z) \ x) = K(x,x * (z / y)). (x * K(y,y * (z / u))) / (y \ x) = T(y,T((z * y) / u,x)). R(K(x,x * (y / z)),x * u,w) = K(R(x,u,w),(z / y) \ x). T(x,T(x * (y / z),u)) = T(x,T((y * x) / z,u)). T(x,T((y * x) / z,u)) = T(x,T(x * (y / z),u)). x != T(y,T((z * y) / u,w)) | x = T(y,T(z / (y \ u),w)). T(x,T(x * (y / z),u)) = T(x,T(y / (x \ z),u)). T(x,T(y / (x \ z),u)) = T(x,T(x * (y / z),u)). T(x,T((y / z) \ x,u)) = T(x,T(x * (z / y),u)). K(R(x,y,z),(u / w) \ x) = K(R(x,y,z),x * (w / u)). x != K(R(y,z,u),((w \ v5) / v5) \ y) | x = K(R(y,z,u),T(y * T(w,v5),v5)). K(R(x,y,z),x * (u / (w \ u))) = K(R(x,y,z),T(x * T(w,u),u)). K(R(x,y,z),T(x * T(u,w),w)) = K(R(x,y,z),x * (w / (u \ w))). x != K(y,(z / u) \ y) | x = K(y,y * (u / z)). R(K(x,x * y),y * z,u) = K(x,x * (((y * z) * u) / (z * u))). R(K(x,x * y),y * z,u) = K(x,x * R(y,z,u)). K(x,R(x * y,y * z,u)) = K(x,x * R(y,z,u)). K(R(x,y,z),T(x * T(u,w),w)) = K(R(x,y,z),x * u). x != K(R(y,z,u),T(y * T(w,v5),v5)) | x = R(K(R(y,z,u),y * w),w,v5). K(R(x,y,z),x * u) = R(K(R(x,y,z),x * u),u,w). R(K(R(x,y,z),x * u),u,w) = K(R(x,y,z),x * u). R(K(x,R(x * y,z,u)),y,w) = K(R(x,z,u),x * y). K(x,R(R(x * y,z,u),y,w)) = K(R(x,z,u),x * y). x != K(R(y,z,u),w) | x = K(y,R(w,z,u)). K(x,R(R(x * y,z,u),y,w)) = K(x,R(x * y,z,u)). x != K(y,R(R(y * z,z * u,w),z,u)) | x = K(y,R(y * z,u,w)). K(x,R(x * y,y * z,u)) = K(x,R(x * y,z,u)). x != K(y,R(y * z,z * u,w)) | x = K(y,y * R(z,u,w)). K(x,R(x * y,z,u)) = K(x,x * R(y,z,u)). T(x,x * R(y,z,u)) = K(x,R(x * y,z,u)) * x. K(x,R(x * y,z,u)) * x = T(x,x * R(y,z,u)). T(x,R(x * y,z,u)) = T(x,x * R(y,z,u)). x != T(y,y * R(z,u,w)) | x = L(T(y,R(z,u,w)),z,T(y,R(z,u,w))). T(x,R(x * y,z,u)) = L(T(x,R(y,z,u)),y,T(x,R(y,z,u))). L(T(x,R(y,z,u)),y,T(x,R(y,z,u))) = T(x,R(x * y,z,u)). T(x,R(x * y,z,u)) = L(T(x,R(y,z,u)),y,x). L(T(x,R(y,z,u)),y,x) = T(x,R(x * y,z,u)). x != L(T(y,R(z,u,w)),z,y) | x = T(y,y * z) * a(K(y,z),u,w). T(x,R(x * y,z,u)) = T(x,x * y) * a(K(x,y),z,u). T(x,x * y) * a(K(x,y),z,u) = T(x,R(x * y,z,u)). L(T(x,R(y / T(1 / (1 / x),z),u,w)),y / T(1 / (1 / x),z),x) = T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)). R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = (a(x,y,x) * ((z * u) * w)) / (u * w). x != (a(y,z,y) * u) / w | x = a(y,z,y) * (u / w). R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = a(x,y,x) * (((z * u) * w) / (u * w)). R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = a(x,y,x) * R(z,u,w). R(a(x,y,x) * z,u,w) = a(x,y,x) * R(z,u,w). T(x \ R(a(y,x \ 1,y) * (a(y,x \ 1,y) \ x),z,u),y) = y \ T(y * (x \ R(x,z,u)),y). (a(x,y,x) * (z * (u * w))) \ ((a(x,y,x) * (z * u)) * w) = a(a(x,y,x) * z,u,w). (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) = a(u,(x * (y * z)) / (x * y),u). L(L(a(x,y,x),y,z),z * y,u) = a(x,(u * (z * y)) / (u * z),x). L(a(x,y,x),z * y,u) = a(x,(u * (z * y)) / (u * z),x). x != a(y,z / u,y) | x = a(y,u \ z,y). L(a(x,y,x),z * y,u) = a(x,(u * z) \ (u * (z * y)),x). L(a(x,y,x),z * y,u) = a(x,L(y,z,u),x). a(x,y,x) = a(x,L(y,z,u),x). a(x,L(y,z,u),x) = a(x,y,x). a(x,(y * z) \ u,x) = a(x,z \ (y \ u),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). a(x,y,x) \ x = L(x,L(y,z,u),x). L(x,L(y,z,u),x) = a(x,y,x) \ x. x != y * a(y,z,y) | x = R(y,z,y). R(x,L(y,z,u),x) = R(x,y,x). L(x,y,z) * T(R(u,x,u),R(u,L(x,y,z),u) * x) = T(T(u,u * x) * L(x,y,z),u). x != a(y,z,y) \ y | x = L(y,z,y). L(x,L(y,z,u),x) = L(x,y,x). L(x,a(y,z,u),x) = L(x,L(u,z,y) \ u,x). L(x,L(y,z,u) \ y,x) = L(x,a(u,z,y),x). (a(x,y,x) * (z * (u * w))) \ (a(x,y,x) * ((z * u) * w)) = a(a(x,y,x) * z,u,w). L(a(x,y,z),x * (y * z),a(u,w,u)) = a(a(u,w,u) * x,y,z). a(a(x,y,x) * z,u,w) = a(z,u,w). a(x,y,z) = a(a(u,w,u) \ x,y,z). a(a(x,y,x) \ z,u,w) = a(z,u,w). a(K(x * y,x),z,u) = a(K(y,x),z,u). a(K(x * y,y),z,u) = a(K(x,y),z,u). a(K(x,x \ y),z,u) = a(K(x,y),z,u). a(K(x \ y,x),z,u) = a(K(y,x),z,u). a(K(x \ y,y),z,u) = a(K(x \ 1,y),z,u). a(K(x \ 1,y),z,u) = a(K(x \ y,y),z,u). a(K(x,y \ x),z,u) = a(K(y,y \ x),z,u). x != a(K(y \ z,y),u * y,w) | x = K(z,z * (y \ R(y,u,w))). a(K(x,y),z * y,u) = K(x,x * (y \ R(y,z,u))). K(x,x * (y \ R(y,z,u))) = a(K(x,y),z * y,u). x != a(K(y,y \ z),u,w) | x = a(K(y,z),u,w). a(K(x,y \ x),z,u) = a(K(y,x),z,u). a(K(x,y),z,u) = a(K(y \ x,x),z,u). a(K(x \ y,y),z,u) = a(K(y,x),z,u). x != a(K(y \ z,z),u,w) | x = a(K(y \ 1,z),u,w). a(K(x,y),z,u) = a(K(y \ 1,x),z,u). a(K(x \ 1,y),z,u) = a(K(y,x),z,u). a(K(x,y),z,u) = a(K(y,x \ 1),z,u). a(K(x,y \ 1),z,u) = a(K(y,x),z,u). a(K(R(x,y * z,u) \ 1,y),w,v5) = a(R(K(y,x),(x * y) * z,u),w,v5). a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(R(y,x * z,u) \ 1,x),w,v5). x != a(K(y,z \ 1),u,w) | x = K(z \ 1,y) * K(y,R(z,u,w) \ 1). a(K(x,y),z,u) = K(x \ 1,y) * K(y,R(x,z,u) \ 1). K(x \ 1,y) * K(y,R(x,z,u) \ 1) = a(K(x,y),z,u). a(K(x,R(y,z,u) \ 1),w,v5) = a(K(y,R(x,z,u)),w,v5). x != K(y,y * z) | x = (y * K(z,y)) \ L(y,z,y). a(K(x,y),z * y,u) = (x * K(y \ R(y,z,u),x)) \ L(x,y \ R(y,z,u),x). (x * K(y \ R(y,z,u),x)) \ L(x,y \ R(y,z,u),x) = a(K(x,y),z * y,u). x != K(y,z) | x = (y \ T(z,y)) \ (y \ z). a(K(x,y),z * y,u) = (x \ T(x * (y \ R(y,z,u)),x)) \ (x \ (x * (y \ R(y,z,u)))). (x \ T(x * (y \ R(y,z,u)),x)) \ (x \ (x * (y \ R(y,z,u)))) = a(K(x,y),z * y,u). x != a(K(y,R(z,u,w) \ 1),v5,v6) | x = R(K(z \ 1,y) * K(y,R(z,v5,v6) \ 1),u,w). a(K(x,R(y,z,u)),w,v5) = R(K(x \ 1,y) * K(y,R(x,w,v5) \ 1),z,u). R(K(x \ 1,y) * K(y,R(x,z,u) \ 1),w,v5) = a(K(x,R(y,w,v5)),z,u). a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(y \ 1,R(x,z,u)),w,v5). x != a(K(y \ 1,z),u,w) | x = a(K(z,y),u,w). a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(R(x,z,u),y),w,v5). a(K(x,R(y,x * z,u)),w,v5) = a(K(R(x,z,u),y),w,v5). a(K(x,R(y,x * z,u)),w,v5) = a(K(x,R(y,z,u)),w,v5). R(a(K(x,y),z,u),w,v5) = a(K(x,R(y,w,v5)),z,u). a(K(x,R(y,z,u)),w,v5) = R(a(K(x,y),w,v5),z,u). x != R(a(K(y,z),u * z,w),y * R(z,u,w),v5) | x = a(K(y,z),u * z,w). a(K(x,R(y,x * R(y,z,u),w)),z * y,u) = a(K(x,y),z * y,u). x != a(K(y,R(z,y * u,w)),v5,v6) | x = a(K(y,R(z,u,w)),v5,v6). a(K(x,y),z * y,u) = a(K(x,R(y,R(y,z,u),w)),z * y,u). a(K(x,R(y,R(y,z,u),w)),z * y,u) = a(K(x,y),z * y,u). L(x,y,z) * T(R(u,x,u),R(u,x,u) * x) = T(T(u,u * x) * L(x,y,z),u). L(x,y,z) * T(R(u,x,u),x * R(u,x,u)) = T(T(u,u * x) * L(x,y,z),u). L(x,y,z) * T(R(u,x,u),T(u * x,u)) = T(T(u,u * x) * L(x,y,z),u). L(x,y,z) * T(R(u,x,u),x * u) = T(T(u,u * x) * L(x,y,z),u). L(x,y,z) * T(u,x) = T(T(u,u * x) * L(x,y,z),u). T(T(x,x * y) * L(y,z,u),x) = L(y,z,u) * T(x,y). x != T(T(y,y * z) * L(z,u,w),y) | x = T(y * L(z,u,w),y * z). L(x,y,z) * T(u,x) = T(u * L(x,y,z),u * x). T(x * L(y,z,u),x * y) = L(y,z,u) * T(x,y). x * y != T(z * L(u,w,v5),z * u) | x \ (L(u,w,v5) * T(z,u)) = y. (x * L(y,z,u)) \ (L(y,z,u) * T(x,y)) = K(x * L(y,z,u),x * y). K(x,y) * K(L(y,z,u),x) = K(x * L(y,z,u),x * y). K(x * L(y,z,u),x * y) = K(x,y) * K(L(y,z,u),x). x != K(y,z) * K(L(z,u,w),y) | x = a(w,u,K(y,z)). K(x * L(y,z,u),x * y) = a(u,z,K(x,y)). K(x,(x / L(y,z,u)) * y) = a(u,z,K(x / L(y,z,u),y)). x != K(y,(y / L(z,u,w)) * z) | x = K(y,z * (L(z,u,w) \ y)). a(x,y,K(z / L(u,y,x),u)) = K(z,u * (L(u,y,x) \ z)). K(x,y * (L(y,z,u) \ x)) = a(u,z,K(x / L(y,z,u),y)). K(x,y * (L(y,z,u) \ x)) = a(u,z,K(y \ x,y)). x != a(y,z,K(u \ w,u)) | x = a(y,z,K(w,u)). K(x,y * (L(y,z,u) \ x)) = a(u,z,K(x,y)). x != K(y,z * (L(z,u,w) \ y)) | x = K(y,y * (L(z,u,w) \ z)). a(x,y,K(z,u)) = K(z,z * (L(u,y,x) \ u)). K(x,x * (L(y,z,u) \ y)) = a(u,z,K(x,y)). a(x,y,K(z,u)) = (z * K(L(u,y,x) \ u,z)) \ L(z,L(u,y,x) \ u,z). (x * K(L(y,z,u) \ y,x)) \ L(x,L(y,z,u) \ y,x) = a(u,z,K(x,y)). K(x / (L(y,z,u) \ y),x) = a(u,z,K(x / (L(y,z,u) \ y),y)). x / (a(y,z,K(u,w)) * x) = K(u * (L(w,z,y) \ w),u). K(x * (L(y,z,u) \ y),x) = w / (a(u,z,K(x,y)) * w). x != y / (a(z,u,K(w,v5)) * y) | x = a(z,u,K(v5,w)). K(x * (L(y,z,u) \ y),x) = a(u,z,K(y,x)). a(x,y,a(z,u,K(w,v5))) = a(x,y,K(L(w,u,z) \ w,v5)). a(x,y,K(L(z,u,w) \ z,v5)) = a(x,y,a(w,u,K(z,v5))). x != a(y,z,K(u \ w,v5)) | x = a(y,z,K(v5,w \ u)). a(x,y,a(z,u,K(w,v5))) = a(x,y,K(v5,w \ L(w,u,z))). a(x,y,K(z,u \ L(u,w,v5))) = a(x,y,a(v5,w,K(u,z))). K(a(x,y,z),u) * a(x * y,z,a(x,y,K(z,u))) = K(L(z,y,x) \ z,u). a(x,T(y,z),a(u,w,K(y,v5))) * K(v5,L(y \ L(y,w,u),y,x)) = K(v5,y \ L(y,w,u)). K((L(x,y,z) \ x) \ u,u) = a(z,y,K(u / (L(x,y,z) \ x),x)). a(x,y,K(z / (L(u,y,x) \ u),u)) = K(z * (u \ L(u,y,x)),z). K(x * (y \ L(y,z,u)),x) = a(u,z,K(x / (L(y,z,u) \ y),y)). K(x * (y \ L(y,z,u)),x) = a(u,z,K((y / x) \ y,y)). K(x * (y \ L(y,z,u)),x) = a(u,z,K(x,y)). x / (a(y,z,K(u,w)) * x) = K(u,u * (w \ L(w,z,y))). K(x,x * (y \ L(y,z,u))) = w / (a(u,z,K(x,y)) * w). K(x,x * (y \ L(y,z,u))) = a(u,z,K(y,x)). T(x,x * (y \ L(y,z,u))) = x * a(u,z,K(y,x)). (x * K(L(y,z,u) \ y,x)) \ L(x,a(u,z,y),x) = a(u,z,K(x,y)). K(x,L(y,z,u) \ y) * (x \ L(x,a(u,z,y),x)) = a(u,z,K(x,y)). x != K(y,z) * (y \ L(y,u,y)) | x = y \ L(T(y,z),u,y). a(x,y,K(z,u)) = z \ L(T(z,L(u,y,x) \ u),a(x,y,u),z). x \ L(T(x,L(y,z,u) \ y),a(u,z,y),x) = a(u,z,K(x,y)). K(a(x,y,z),u) * 1 = K(L(z,y,x) \ z,u). K(L(x,y,z) \ x,u) = K(a(z,y,x),u) * 1. K(L(x,y,z) \ x,u) = K(a(z,y,x),u). x / (K(a(y,z,u),w) * x) = K(w,L(u,z,y) \ u). K(x,L(y,z,u) \ y) = w / (K(a(u,z,y),x) * w). K(x,L(y,z,u) \ y) = K(x,a(u,z,y)). T(x,L(y,z,u) \ y) = x * K(x,a(u,z,y)). T(x,L(y,z,u) \ y) = T(x,a(u,z,y)). x \ L(T(x,a(y,z,u)),a(y,z,u),x) = a(y,z,K(x,u)). K(x,x * a(y,z,u)) = a(y,z,K(x,u)). 1 * K(x,L(y \ L(y,z,u),y,w)) = K(x,y \ L(y,z,u)). K(x,L(y \ L(y,z,u),y,w)) = K(x,y \ L(y,z,u)). x != K(y,L(z \ L(z,u,w),z,w * u)) | x = K(y,a(w,u,z) \ 1). K(x,y \ L(y,z,u)) = K(x,a(u,z,y) \ 1). K(x,a(y,z,u) \ 1) = K(x,u \ L(u,z,y)). x != K(y,y \ L(y,z,u)) | x = 1. K(x,a(y,z,x) \ 1) = 1. T(x,a(y,z,u) \ 1) = x * K(x,u \ L(u,z,y)). x * K(x,y \ L(y,z,u)) = T(x,a(u,z,y) \ 1). T(x,y \ L(y,z,u)) = T(x,a(u,z,y) \ 1). T(x,a(y,z,u) \ 1) = T(x,u \ L(u,z,y)). L(T(x,a(y,z,u) \ 1),u \ L(u,z,y),x) = T(x,x * (u \ L(u,z,y))). x != T(y,y * (z \ L(z,u,w))) | x = y * a(w,u,K(z,y)). L(T(x,a(y,z,u) \ 1),u \ L(u,z,y),x) = x * a(y,z,K(u,x)). K(((x * ((y \ 1) \ (y \ z))) / x) * (y \ 1),u) = K(y \ (1 * ((x * z) / x)),T(u,y)). K(((x * ((y \ 1) \ (y \ z))) / x) * (y \ 1),u) = K(y \ ((x * z) / x),T(u,y)). K(((x * ((y \ 1) \ (y \ z))) / x) * (y \ 1),u) != w | K(((x * z) / x) / y,u) = w. x != (K(y,z) * K(u,z)) * w | x = K(u,z) * (K(y,z) * w). L(x,K(y,z) * K(y,u),K(z,y) * K(u,y)) = K(u,y) * (K(z,y) * (K(y,z) * (K(y,u) * x))). K(x,y) * (K(z,y) * (K(y,z) * (K(y,x) * u))) = L(u,K(y,z) * K(y,x),K(z,y) * K(x,y)). K(x,y) * (K(y,x) * z) = L(z,K(y,u) * K(y,x),K(u,y) * K(x,y)). L(x,K(y,z) * K(y,u),K(z,y) * K(u,y)) = K(u,y) * (K(y,u) * x). L(x,K(y,z) * K(y,u),K(z,y) * K(u,y)) = x. T(x \ R(x,y,z),u) = u \ T(u * (x \ R(x,y,z)),u). x \ T(x * (y \ R(y,z,u)),x) = T(y \ R(y,z,u),x). T(x \ R(x,y,z),u) \ (u \ (u * (x \ R(x,y,z)))) = a(K(u,x),y * x,z). T(x \ R(x,y,z),u) \ (x \ R(x,y,z)) = a(K(u,x),y * x,z). K(x,y \ R(y,z,u)) = a(K(x,y),z * y,u). a(K(x,y),z * y,u) = K(x,y \ R(y,z,u)). a(K(x,K(y,z)),u * y,w) = K(x,K(z,y \ R(y,u,w))). x != a(K(y,K(z,u)),w * z,v5) | x = a(K(z,K(y,u)),w,v5). K(x,K(y,z \ R(z,u,w))) = a(K(z,K(x,y)),u,w). x != K(y,K(z,u \ R(u,w,v5))) | x = K(y,K(z,R(u,w,v5) * (u \ z))). a(K(x,K(y,z)),u,w) = K(y,K(z,R(x,u,w) * (x \ z))). K(x,K(y,R(z,u,w) * (z \ y))) = a(K(z,K(x,y)),u,w). K(x,K(y,R(z,u,w) * (z \ y))) = a(K(x,K(y,z)),u,w). K(x,K(y,R(z,u,w) \ z)) = a(K(x,K(y,z)),u,w). x != K(y,K(R(z,u,w),R(u,v5,v6) \ u)) | x = K(y,K(z,(u * w) / (R(u,v5,v6) * w))). a(K(x,K(R(y,z,u),z)),w,v5) = K(x,K(y,(z * u) / (R(z,w,v5) * u))). K(x,K(y,(z * u) / (R(z,w,v5) * u))) = a(K(x,K(R(y,z,u),z)),w,v5). K(x,K(y,(z * u) / (R(z,w,v5) * u))) = a(K(x,K(z,R(y,z,u))),w,v5). K(x,K(y,(z * u) / (R(z,w,v5) * u))) = a(K(x,K(z,y)),w,v5). K(x,K(R(y,z,u) \ y,R(w,y,v5))) = a(K(x,K(y,w)),z,u). x != K(y,K(R(z,u,w) \ z,R(v5,z,u * w))) | x = K(y,K(a(z,u,w),T(v5,z * (u * w)))). a(K(x,K(y,z)),u,w) = K(x,K(a(y,u,w),T(z,y * (u * w)))). K(x,K(a(y,z,u),T(w,y * (z * u)))) = a(K(x,K(y,w)),z,u). a(x,((y * z) * u) \ (y * (z * (u * K(w,w \ 1)))),x) = a(x,K(w,w \ 1) / a(y,z,u),x). x != a(y,(z * u) \ w,y) | x = a(y,u \ (z \ w),y). a(x,K(y,y \ 1) / a(z,u,w),x) = a(x,w \ ((z * u) \ (z * (u * (w * K(y,y \ 1))))),x). a(x,y \ ((z * u) \ (z * (u * (y * K(w,w \ 1))))),x) = a(x,K(w,w \ 1) / a(z,u,y),x). a(x,y \ L(y * K(z,z \ 1),u,w),x) = a(x,K(z,z \ 1) / a(w,u,y),x). a(x,(y \ L(y,z,u)) * K(w,w \ 1),x) = a(x,K(w,w \ 1) / a(u,z,y),x). a(x,y \ L(y,z,u),x) = a(x,K(w,w \ 1) / a(u,z,y),x). a(x,y \ L(y,z,u),x) = a(x,a(u,z,y) \ K(w,w \ 1),x). a(x,a(y,z,u) \ K(w,w \ 1),x) = a(x,u \ L(u,z,y),x). a(x,a(y,z,u) \ 1,x) = a(x,u \ L(u,z,y),x). (((a(x,y,z) \ 1) * u) * a(u,z \ L(z,y,x),u)) \ ((u * (a(x,y,z) \ 1)) * u) = R(T(u,u * (a(x,y,z) \ 1)),(a(x,y,z) \ 1) * u,a(u,a(x,y,z) \ 1,u)). (x * (y * T(y \ (x \ z),u))) \ z = K(u,(x * (y * a(w,v5,w))) \ z). K(x,(y * (z * a(u,w,u))) \ v5) = (y * (z * T(z \ (y \ v5),x))) \ v5. x != (y * (z * T(z \ (y \ u),w))) \ u | x = K(w,(y * z) \ u). K(x,(y * (z * a(u,w,u))) \ v5) = K(x,(y * z) \ v5). K(x,(y * K(z * u,u)) \ w) = K(x,(y * K(z,u)) \ w). K(x,(y * z) \ u) = K(x,(L(y,w,y) * z) \ u). K(x,(L(y,z,y) * u) \ w) = K(x,(y * u) \ w). T(1 / x,x \ y) * L(T(1 / x,x \ y) \ 1,z,u) = T((1 / x) * L((1 / x) \ 1,z,u),(x \ 1) * y). T((1 / x) * L((1 / x) \ 1,y,z),x \ u) = T((1 / x) * L((1 / x) \ 1,y,z),(x \ 1) * u). T((1 / x) * L((1 / x) \ 1,y,z),(x \ 1) * u) = T((1 / x) * L((1 / x) \ 1,y,z),x \ u). T((1 / x) * L((1 / x) \ 1,y,z),(x \ 1) * u) = T((1 / x) * L(x,y,z),x \ u). T((1 / x) * L((1 / x) \ 1,y,z),(x \ 1) * u) = T(x \ L(x,y,z),x \ u). T((1 / x) * L(x,y,z),(x \ 1) * u) = T(x \ L(x,y,z),x \ u). T(x \ L(x,y,z),(x \ 1) * u) = T(x \ L(x,y,z),x \ u). x != T(y \ L(y,z,u),(y \ 1) * w) | x = T((1 / y) * L((1 / y) \ 1,z,u),w). T(x \ L(x,y,z),x \ u) = T((1 / x) * L((1 / x) \ 1,y,z),u). T(x \ L(x,y,z),x \ u) = T((1 / x) * L(x,y,z),u). T(x \ L(x,y,z),x \ u) = T(x \ L(x,y,z),u). T(x \ L(x,y,z),u) = T(x \ L(x,y,z),x * u). T(x \ L(x,y,z),x * u) = T(x \ L(x,y,z),u). x * y != T(z \ L(z,u,w),z * v5) | x \ T(z \ L(z,u,w),v5) = y. (x \ L(x,y,z)) \ T(x \ L(x,y,z),u) = K(x \ L(x,y,z),x * u). K(x \ L(x,y,z),u) = K(x \ L(x,y,z),x * u). K(x \ L(x,y,z),x * u) = K(x \ L(x,y,z),u). K(x \ L(x,y,z),u) \ 1 = K(x * u,x \ L(x,y,z)). K(x * y,x \ L(x,z,u)) = K(x \ L(x,z,u),y) \ 1. x != K(y,z) \ 1 | x = K(z,y). K(x * y,x \ L(x,z,u)) = K(y,x \ L(x,z,u)). K(x,K(y * z,z \ L(z,u,w))) = K(x,K(y,z \ L(z,u,w))). x != K(y,K((z * u) * w,w \ L(w,u,z))) | x = K(y,K(z * (u * w),a(z,u,w) * (z * (u * w)))). K(x,K(y * z,u \ L(u,z,y))) = K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))). K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))) = K(x,K(y * z,u \ L(u,z,y))). x != K(y,K(z * u,w \ L(w,u,z))) | x = K(y,K(z * u,a(z,u,w))). K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))) = K(x,K(y * z,a(y,z,u))). K(x,K(a(y,z,u),y * (z * u))) = K(x,K(y * z,a(y,z,u))). K(x,K(y * z,a(y,z,u))) != w | K(x,K(a(y,z,u),y * (z * u))) = w. x != K(y,K(a(z,u,w),z * (u * w))) | x = K(y,K(a(z,u,w),(z * u) * w)). K(x,K(y * z,a(y,z,u))) = K(x,K(a(y,z,u),(y * z) * u)). K(x,K(a(y,z,u),(y * z) * u)) = K(x,K(y * z,a(y,z,u))). x != K(y,K(a(z,u,w),(z * u) * w)) | x = K(a(z,u,w),T((((z * u) * w) \ 1) * ((y \ ((z * u) * w)) * y),z * (u * w))). K(x,K(y * z,a(y,z,u))) = K(a(y,z,u),T((((y * z) * u) \ 1) * ((x \ ((y * z) * u)) * x),y * (z * u))). K(a(x,y,z),T((((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u),x * (y * z))) = K(u,K(x * y,a(x,y,z))). K(x,K(a(y,z,u),T((y * z) * u,y * (z * u)))) = K(x,K(y * z,a(y,z,u))). x != K(y,K(a(z,u,w),T(v5,z * (u * w)))) | x = a(K(y,K(z,v5)),u,w). K(x,K(y * z,a(y,z,u))) = a(K(x,K(y,(y * z) * u)),z,u). a(K(x,K(y,(y * z) * u)),z,u) = K(x,K(y * z,a(y,z,u))). a(K(x,K(y,z * u)),z,u) = K(y,K(x * z,a(x,z,u))). K(x,K(y * z,a(y,z,u))) = a(K(y,K(x,z * u)),z,u). x != a(K(y,K(z,u * w)),u,w) | x = 1. K(x,K(y * z,a(y,z,u))) = 1. K(x,K(a(y,z,u),y * (z * u))) = 1. K(x,a(y,z,u)) * 1 = K(x,((y * z) * u) / (y * (z * u))). K(x,((y * z) * u) / (y * (z * u))) = K(x,a(y,z,u)) * 1. K(x,((y * z) * u) / (y * (z * u))) = K(x,a(y,z,u)). x != K(y,((z * u) * w) / (z * (u * w))) | x = R(K(y,z \ R(z,u,w)),R(z,u,w),u * w). K(x,a(y,z,u)) = R(K(x,y \ R(y,z,u)),R(y,z,u),z * u). R(K(x,y \ R(y,z,u)),R(y,z,u),z * u) = K(x,a(y,z,u)). R(a(K(x,y),z * y,u),R(y,z,u),z * u) = K(x,a(y,z,u)). x != R(a(K(y,z),u,w),v5,v6) | x = a(K(y,R(z,v5,v6)),u,w). K(x,a(y,z,u)) = a(K(x,R(y,R(y,z,u),z * u)),z * y,u). a(K(x,R(y,R(y,z,u),z * u)),z * y,u) = K(x,a(y,z,u)). x != a(K(y,R(z,R(z,u,w),v5)),u * z,w) | x = a(K(y,z),u * z,w). K(x,a(y,z,u)) = a(K(x,y),z * y,u). a(K(x,y),z * y,u) = K(x,a(y,z,u)). L(T(x,R(y / T((1 / x) \ 1,z),u,w)),y / T(1 / (1 / x),z),x) = T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)). L(T(x,R(y / T(x,z),u,w)),y / T(1 / (1 / x),z),x) = T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)). L(T(x,R(x \ y,z,u)),y / T(1 / (1 / x),w),x) = T(x,R(((x \ 1) \ 1) * (y / T(x,w)),z,u)). x != L(y,z / T(1 / u,w),v5) | x = L(y,z / T(u \ 1,w),v5). T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)) = L(T(x,R(x \ y,u,w)),y / T((1 / x) \ 1,z),x). L(T(x,R(x \ y,z,u)),y / T((1 / x) \ 1,w),x) = T(x,R(((x \ 1) \ 1) * (y / T(x,w)),z,u)). L(T(x,R(x \ y,z,u)),y / T(x,w),x) = T(x,R(((x \ 1) \ 1) * (y / T(x,w)),z,u)). T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)) = L(T(x,R(x \ y,u,w)),y / T(x,z),x). x != L(T(y,z),u / T(y,w),y) | x = L(T(y,z),y \ u,y). T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)) = L(T(x,R(x \ y,u,w)),x \ y,x). x != L(T(y,R(z,u,w)),z,y) | x = T(y,R(y * z,u,w)). T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)) = T(x,R(x * (x \ y),u,w)). T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)) = T(x,R(y,u,w)). T(x,R(x * (y / T(1 / (1 / x),z)),u,w)) = T(x,R(y,u,w)). x != K((y * z) \ 1,y * z) | x = K(y \ (z \ 1),z * y). K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K(x \ ((K(y,x) / T(x,z)) \ 1),(K(y,x) / T(x,z)) * x). K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K(x \ (K(x,z) * T(x,y)),(K(y,x) / T(x,z)) * x). K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K(T(K(x,z),x) * K(x,y),(K(y,x) / T(x,z)) * x). K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K(K(x,z) * K(x,y),(K(y,x) / T(x,z)) * x). K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K(K(x,z) * K(x,y),K(y,x) * K(z,x)). x != K(K(y,z) * K(y,u),K(u,y) * K(z,y)) | x = 1. K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = 1. K((x \ K(x,y)) * T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = 1. ((x \ K(x,y)) * T(x,z)) \ 1 = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). 1 / (((x \ K(x,y)) \ 1) \ T(x,z)) = ((x \ K(x,y)) * T(x,z)) \ 1. x != ((y \ K(y,z)) * T(y,u)) \ 1 | x = y * (K(z,y) / T(y,u)). 1 / (((x \ K(x,y)) \ 1) \ T(x,z)) = x * (K(y,x) / T(x,z)). 1 / (((x \ 1) \ K(y,x)) \ T(x,z)) = x * (K(y,x) / T(x,z)). 1 / ((x \ K(x,y)) * T(x,z)) = x * (K(y,x) / T(x,z)). (x * (K(y,x) / T(x,z))) \ 1 = (x \ K(x,y)) * T(x,z). (((x \ K(x,y)) * T(x,z)) \ 1) \ L(u,(x * (K(y,x) / T(x,z))) \ 1,x * (K(y,x) / T(x,z))) = ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u. K(x / y,z) * T(z,T(z * ((x / y) * ((x / y) \ ((y / x) \ 1))),x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). K(x / y,z) * T(z,T(z * ((y / x) \ 1),x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). K(x / y,z) * T(z,T((y / x) \ z,x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). K(x / y,z) * T(z,T(z * (x / y),x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). K(x / y,z) * T(z,z * (x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). L(x,(y / z) * ((y / z) \ ((z / y) \ 1)),x) = K(y / z,x) * T(x,x * (y / z)). x != K(y,z) * T(z,z * y) | x = L(z,y,z). L(x,(y / z) * ((y / z) \ ((z / y) \ 1)),x) = L(x,y / z,x). x != L(y,z * (z \ ((u / w) \ 1)),y) | x = L(y,u \ w,y). L(x,y / z,x) = L(x,z \ y,x). L(x,y,x) = L(x,(y \ z) \ z,x). L(x,(y \ z) \ z,x) = L(x,y,x). L(x,R(y \ R(y,z,u),y,z * u),x) = L(x,(y * (z * u)) \ ((y * z) * u),x). L(x,R(y * K(z,y),z,u),x) = L(x,(z * u) \ ((z * y) * u),x). L(x,y,x) = L(x,y * K(z,y),x). L(x,y * K(z,y),x) = L(x,y,x). L(x,R(y * K(z,y),u,w),x) = L(x,R(y,u,w),x). x != L(y,R(z * K(u,z),w,v5),y) | x = L(y,R(z,w,v5),y). L(x,(y * z) \ ((y * u) * z),x) = L(x,R(u,y,z),x). x != L(y,(z * u) \ (w * u),y) | x = L(y,z \ w,y). L(x,R(y,z,u),x) = L(x,z \ (z * y),x). L(x,R(y,z,u),x) = L(x,y,x). L(x,R(y \ R(y,z,u),y,z * u),x) = L(x,a(y,z,u),x). x != L(y,R(z,u,w),y) | x = L(y,z,y). L(x,a(y,z,u),x) = L(x,y \ R(y,z,u),x). L(x,y \ R(y,z,u),x) = L(x,a(y,z,u),x). (x * K(y \ R(y,z,u),x)) \ L(x,a(y,z,u),x) = a(K(x,y),z * y,u). K(x,y \ R(y,z,u)) * (x \ L(x,a(y,z,u),x)) = a(K(x,y),z * y,u). a(K(x,y),z * y,u) * (x \ L(x,a(y,z,u),x)) = a(K(x,y),z * y,u). a(x,a(y,z,u),x) \ a(K(x,y),z * y,u) = a(K(x,y),z * y,u). (a(x,a(y,z,u),x) \ a(K(x,y),z * y,u)) * w != a(K(x,y),z * y,u) | 1 = w. 1 = a(x,a(y,z,u),x). a(x,a(y,z,u),x) = 1. a(x,a(y,z,u),x) \ K(x,a(y,z,u)) = a(K(x,y),z * y,u). L(x,a(y,z,u),x) = x. (x * a(y,z,u)) * x = x * (a(y,z,u) * x). T(x,a(y,z,u)) = T(x,x * a(y,z,u)). T(x,x * a(y,z,u)) = T(x,a(y,z,u)). x != T(y * K(z,y),z) | x = y. T(x * K(a(y,z,u),x),(x * K(a(y,z,u),x)) * a(y,z,u)) = x. T(x,x / a(y,z,u)) = a(y,z,u) * (x / a(y,z,u)). T(x,a(y,z,u) \ x) = a(y,z,u) * (x / a(y,z,u)). (x / a(y,z,u)) * w != T(x,a(y,z,u) \ x) | T(a(y,z,u),x / a(y,z,u)) = w. T(a(x,y,z),u / a(x,y,z)) = a(x,y,z) * K(u,a(x,y,z) \ u). a(x,y,z) * K(u,a(x,y,z) \ u) = T(a(x,y,z),u / a(x,y,z)). K(x,x * a(y,z,u)) = a(K(x,y),z * y,u). x != a(K(y,z),u * z,w) | x = K(y,a(z,u,w)). K(x,x * a(y,z,u)) = K(x,a(y,z,u)). x != a(K(y,z),u * z,w) | x = a(K(y,z),u,w). K(x,x * a(y,z,u)) = a(K(x,y),z,u). x != K(y,y * a(z,u,w)) | x = a(z,u,K(y,w)). K(x,a(y,z,u)) = a(y,z,K(x,u)). a(x,y,K(z,u)) = K(z,a(x,y,u)). a(x,y,K(z,u)) \ w = K(a(x,y,u),z) * w. (x * y) * a(z,u,K(y,w)) = x * T(y,a(z,u,w)). a(K(x,y),z,u) = a(y,z,K(x,u)). (T(x,x \ y) * a(z,u,K(w,v5))) \ ((x \ y) \ y) = a(K(z,w),u,v5). a(x,y,K(z,u)) = K(a(x,y,z),u). T(a(x,y,z),u) = a(x,y,z) * a(x,y,K(z,u)). a(x,y,z) * a(x,y,K(z,u)) = T(a(x,y,z),u). T(a(x,y,z),u) = a(x,y,K(z,u)) * a(x,y,z). a(x,y,K(z,u)) * a(x,y,z) = T(a(x,y,z),u). a(x,y,K(z,u)) * a(x,y,z) != w | T(a(x,y,z),u) = w. a(x,y,K(z,a(x,y,z) \ 1)) / (((x * y) * z) \ (x * (y * z))) = (((x * y) * z) \ (x * (y * z))) \ 1. a(x,y,z) * a(x,y,z * (K(u,z) / z)) = T(a(x,y,z),z \ (u \ 1)). x != T(y,T(z,u)) | x = K(y,u) * T(y * K(u,y),z). a(x,y,K(z,T(u,w))) * a(x,y,z) = K(a(x,y,z),w) * T(a(x,y,z) * K(w,a(x,y,z)),u). K(a(x,y,z),u) * T(a(x,y,z) * K(u,a(x,y,z)),w) = a(x,y,K(z,T(w,u))) * a(x,y,z). a(x,y,z * (K(u,z) / z)) * a(x,y,z) = T(a(x,y,z),z \ (u \ 1)). a(x,y,K(z,z \ (u \ w))) * a(x,y,z) = T(a(x,y,z),(u * z) \ w). a(x,y,K(z,z \ (u / w))) * a(x,y,z) = T(a(x,y,z),u / (w * z)). T(x * a(y,z,K(u,x)),(x * K(a(y,z,u),x)) * a(y,z,u)) = x. T(x * a(y,z,K(u,x)),a(y,z,u) * x) = x. (x * y) / T(x * a(z,u,K(w,x)),y) = K(x * a(z,u,K(w,x)),a(z,u,w) * x) * y. a(x,y,z) * K(u,a(x,y,z) \ u) = T(a(x,y,z),a(x,y,z) \ u). a(x,y,K(z,u)) = a(K(x,u),y,z). a(K(x,y),z,u) = a(x,z,K(u,y)). a(K(x,y),z,u) != w | a(x,z,K(u,y)) = w. x != a(K(y,z),u,w) | x = K(y,y * a(z,u,w)). a(x,y,K(z,u)) = K(x,x * a(u,y,z)). K(x,x * a(y,z,u)) = a(x,z,K(u,y)). x != a(K(y,z),u,w) | x = a(z,u,K(y,w)). a(x,y,K(z,u)) = a(u,y,K(x,z)). (K(x,y) * (z * u)) * a(x,z,K(u,y)) = (K(x,y) * z) * u. a(K(x,T(y,z)),u,w) = a(T(x,z),u,K(w,y)). (x * K(y,z)) * a(y,u,K(u \ x,T(z,x))) = (K(y,T(z,x)) * u) * (u \ x). K(x,(a(y,z,K(u,w)) \ ((z * u) \ K(w,y))) * v5) = K(x,(u \ (z \ K(w,y))) * v5). a(K(x,x \ (y \ z)),u,w) = a(x,u,K(w,(y * x) \ z)). a(K(x,x \ (y \ z)),u,w) = a(x,u,K(w,(z \ y) \ (x \ 1))). a(x,y,K(z,(u \ w) \ (x \ 1))) = a(K(x,x \ (w \ u)),y,z). a(K(x,x \ (y / z)),u,w) = a(x,u,K(w,y / (z * x))). a(K(x,x \ (y / z)),u,w) = a(x,u,K(w,(x \ y) / z)). T(x,x * y) * a(x,z,K(u,y)) = T(x,R(x * y,z,u)). a(x,y * z,K(u,z)) = a(z,y,K(x,u)). K(x,y) * K(y,L(x,z,u)) = a(y,z,K(u,x)). K(x,L(y,z,u)) * K(y,x) = a(x,z,K(u,y)). x != a(y,z,K(u,w)) | x = a(K(y,w),z,u). a(x,y,K(z,u)) = a(K(u,z),y,x). a(K(x,y),z,u) = a(u,z,K(y,x)). x != a(y,z,K(u,w * v5)) | x = a(y,z,K(v5 \ (w \ 1),u)). a(x,y,K(z * u,w)) = a(w,y,K(u \ (z \ 1),x)). a(x,y,K(z \ (u \ 1),w)) = a(w,y,K(u * z,x)). x != a(y,z,K(u,w)) | x = a(y,z * u,K(u,w)). a(x,y,K(z,u)) = a(u,y * x,K(x,z)). a(x,y * z,K(z,u)) = a(z,y,K(u,x)). x != a(y,z,K(u,w)) | x = v5 / (a(y,z,K(w,u)) * v5). a(x,y,K(z,u)) = w / (a(u,y,K(z,x)) * w). x / (a(y,z,K(u,w)) * x) = a(w,z,K(u,y)). x != a(y,z,K(u,w)) | x = L(K(w,u),z,y) * K(u,w). a(x,y,K(z,u)) = L(K(z,x),y,u) * K(x,z). L(K(x,y),z,u) * K(y,x) = a(y,z,K(x,u)). x != a(y,z,K(u,w)) | x = K(u,a(y,z,w)). a(x,y,K(z,u)) = K(x,a(u,y,z)). x != a(y,z,K(u \ 1,w)) | x = a(y,z,K(w,u)). a(x \ 1,y,K(z,u)) = a(u,y,K(z,x)). a(x,y,K(z,u)) * w = a(u,y,K(x,z)) * w. x * a(y,z,K(u,w)) = x * a(w,z,K(y,u)). a(x,y,K(z,u \ 1)) = a(z,y,K(x,u)). x != a(y,z,K(u,u \ w)) | x = a(y,z,K(u,w)). a(x \ y,z,K(u,x)) = a(u,z,K(x,y)). x != a(y,z,K(K(u,w),v5)) | x = a(y,z,K(w,K(v5,u))). a(x,y,K(z,K(u,w))) = a(z,y,K(w,K(x,u))). a(x,y,K(z,K(u,w))) = a(u,y,K(x,K(w,z))). a(x,y,K((x * z) \ u,w)) = a(w,y,K(x,z \ (x \ u))). a(x,y,K(z,K(u,w))) = a(u,y,K(x,K(z,w))). a(x,y,K(z,K(u,w))) = a(z,y,K(x,K(u,w))). K(x,y) * a(y,z,K(x,u)) = L(K(x,y),z,u). x / a(y,z,K(u,w)) = x * a(w,z,K(u,y)). x / a(y,z,K(u,w)) != v5 | x * a(w,z,K(u,y)) = v5. K(x,y) * (L(K(y,x),z,u) * w) = a(y,z,K(u,x)) * w. K(x,y) * (a(x,z,K(u,y)) * w) = L(K(x,y),z,u) * w. a(x,y,K(z,u)) \ w = a(u,y,K(z,x)) * w. x / (a(y,z,K(u,w)) * x) != v5 | a(w,z,K(u,y)) = v5. a(x,y,K(z,(u \ w) * v5)) = a(T(w / u,w) * v5,y,K(x,z)). a(T(x / y,x) * z,u,K(w,v5)) = a(w,u,K(v5,(y \ x) * z)). a(x,y,z) * a(u,y,K(x,z)) = T(a(x,y,z),u). x != a(y,z,K(u,w)) | x = L(K(u,w),z,y) \ K(u,w). a(K(x,y),z,u) = L(K(y,x),z,u) \ K(y,x). L(K(x,y),z,u) \ K(x,y) = a(K(y,x),z,u). x != a(y,z,K(u,w)) | x = K(a(y,z,u),w). a(K(x,y),z,u) = K(a(u,z,y),x). x * a(K(y,z),u,w) = x * a(w,u,K(z,y)). x * a(x,y,K(z,u)) != w | T(x,a(u,y,z)) = w. a(x,y,K(z,K(u,w))) = K(z,K(x,a(w,y,u))). x != a(y,z,K(u,w)) | x = a(w,z,K(y,u)). a(x,y,K(z,u)) = a(x,y * x,K(z,u)). a(x,y * x,K(z,u)) = a(x,y,K(z,u)). a(x,y,K(z,u)) != w | a(z,y,K(u,x)) = w. a(x \ 1,y,K(z,u)) = a(x,y,K(u,z)). x != a(y,z,K(u,w \ 1)) | x = a(u,z,K(y,w)). a(x \ (y \ 1),z,K(u,x)) = a(x,z,K(u,y)). a(((x \ (y \ x)) \ 1) \ 1,((y \ 1) \ 1) \ x,K(z,u)) = a(((x \ (y \ x)) \ 1) \ 1,x,K(z,u)). a(1 / (x * T(y,z)),y * (1 / (x * y)),K(u,w)) = a(1 / (x * T(y,z)),T(y,z),K(u,w)). a(1 / (x * T(y,z)),T(y,z),K(u,w)) = a(1 / (x * T(y,z)),y * (1 / (x * y)),K(u,w)). K(x,x * a(y,z,u)) != w | a(x,z,K(u,y)) = w. a(x,y,K(z,u)) != w | a(u,y,K(x,z)) = w. a(x,y,K(z \ (u \ 1),w)) != v5 | a(w,y,K(u * z,x)) = v5. a(K(x,y),z,u) != w | a(u,z,K(y,x)) = w. a(x \ 1,y,K(z,u)) != w | a(u,y,K(z,x)) = w. a(x,y,K(z,K(u,w))) != v5 | a(u,y,K(x,K(w,z))) = v5. a(x,y,K(z,K(u,w))) != v5 | a(z,y,K(x,K(u,w))) = v5. a(x \ 1,y,K(z,u)) != w | a(x,y,K(u,z)) = w. K(a(x,y,z),u) != w | a(x,y,K(z,u)) = w. a(x,y,K(z,T(u,w))) = a(T(x,w),y,K(z,u)). a(T(x,y),z,K(u,w)) = a(x,z,K(u,T(w,y))). x * y != z / (a(u,w,K(v5,v6)) * z) | a(v6,w,K(v5,u)) / y = x. a(x,y,K(z,u)) / w = 1 / (w * (a(u,y,K(z,x)) * 1)). 1 / (x * (a(y,z,K(u,w)) * 1)) = a(w,z,K(u,y)) / x. x / (a(y,z,K(u,w \ v5)) * x) = a((w \ 1) * v5,z,K(u,y)). x / (a(y,z,K(u,w \ v5)) * x) = a((1 / w) * v5,z,K(u,y)). x / (a(y,z,K(u,(w / v5) * v6)) * x) = a((v5 * (w \ 1)) \ v6,z,K(u,y)). x / (a(y,z,u * (K(w,u) / u)) * x) = a(u \ (w \ 1),z,K(u,y)). a(x,y,K(z,u)) * K(z,x) = L(K(z,x),y,u). a(x,y,K(z,u)) * w != v5 * w | a(u,y,K(x,z)) = v5. a(x,y,K(z,K(u,w))) = a(u,y,K(z,K(x,w))). K(x,y) * a(y,z,K(x,u)) = K(x,L(y,y \ z,u)). x != L(K(y,z),u,w) | x = K(y,L(z,u,w)). K(x,y) * a(y,z,K(x,u)) = K(x,L(y,z,u)). K(x,y) * a(x,z,K(y,K(u,w))) = L(K(x,y),z,K(u,w)). x * a(y,z,K(u,w)) != v5 | x * a(w,z,K(y,u)) = v5. K(x,(a(y,z,K(u,w)) * (v5 \ 1)) * v6) = K(x,(v5 * a(w,z,K(u,y))) \ v6). x \ (y * (a(z,u,K(w,v5)) * T(a(v5,u,K(w,z)) * (y \ x),v6))) = K((x \ (y * a(z,u,K(w,v5)))) \ 1,v6). a(x,y,K(z,K(u,w))) = K(u,K(x,a(w,y,z))). x != a(y,z,K(u,w)) * v5 | x = a(u,z,K(w,y)) * v5. L(K(x,y),z,u) = a(x,z,K(u,y)) * K(x,y). a(x,y,K(z,u)) * K(x,u) = L(K(x,u),y,z). K(x,K(y,L(z,u,w))) * K(x,K(z,y)) = a(z,u,K(x,K(w,y))). K(x,y) * a(x,z,K(y,K(u,w))) = K(x,L(y,z,K(u,w))). x != a(y,z,K(u,K(w,v5))) | x = a(w,z,K(y,K(v5,u))). K(x,K(y,a(z,u,w))) = a(x,u,K(y,K(z,w))). a(x,y,K(z,K(u,w))) = K(x,K(z,a(u,y,w))). x != L(K(y,K(z,u)),w,v5) | x = K(z,K(u,L(y,w,v5))). a(x,y,K(z,K(u,w))) * K(x,K(u,w)) = K(u,K(w,L(x,y,z))). L(K(x,y),z,u) != w * K(x,y) | a(x,z,K(u,y)) = w. a(x,y,K(z,K(u,w))) * K(x,K(u,w)) != v5 | K(u,K(w,L(x,y,z))) = v5. a(x,y,z) * a(z,y,K(x,u)) = T(a(x,y,z),z \ (u \ 1)). a(x,y,K(z \ 1,u)) != w | a(x,y,K(u,z)) = w. K(x,y) * z != K(x,L(y,u,w)) | z = a(y,u,K(x,w)). a(x,y,K(z,u)) = a(x,x \ y,K(z,u)). a(x,x \ y,K(z,u)) = a(x,y,K(z,u)). a(x,y \ z,K(u,y)) = a(y,z,K(x,u)). a(T(x,y),y \ (x \ 1),K(z,u)) = a(T(x,y),y \ 1,K(z,u)). a(T(x / (1 / y),z),(1 / T(x * y,z)) * x,K(u,w)) = a(T(x / (1 / y),z),x,K(u,w)). x * a(y,z,K(u,w)) != v5 | x * a(u,z,K(w,y)) = v5. a(x,y,K(z,K(u,w))) != v5 | a(u,y,K(z,K(w,x))) = v5. a(x,y,K(z,K(u,w))) != v5 | a(u,y,K(z,K(x,w))) = v5. a(x,y,K(z,x \ (u \ w))) = a(x,y,K(z,(u * x) \ w)). a(x,y,K(z,(u * x) \ w)) = a(x,y,K(z,x \ (u \ w))). a(x,y,K(z,(u * x) \ w)) != v5 | a(x,y,K(z,x \ (u \ w))) = v5. a(x,y,K(z,u / (w * x))) != v5 | a(x,y,K(z,x \ (u / w))) = v5. a(x,y,K(z,(x \ u) / w)) != v5 | a(x,y,K(z,x \ (u / w))) = v5. a(x,y,K(z,u)) * w != v5 | a(z,y,K(u,x)) * w = v5. a(x,y,K(z,u)) * w != v5 | a(u,y,K(x,z)) * w = v5. 1 / (x * a(y,z,K(u,w))) = a(w,z,K(u,y)) / x. x != K(y,L(z,u,w)) | x = L(K(y,z),z * u,w). K(x,y) * a(x,z,K(y,K(u,w))) = L(K(x,y),y * z,K(u,w)). ((K(x,y) * z) * u) / a(x,z,K(u,y)) != w | w = K(x,y) * (z * u). ((K(x,y) * z) * u) / a(x,z,K(u,y)) != w | K(x,y) * (z * u) = w. a(x,y,z) * a(u,y,K(z,x)) = T(a(x,y,z),z \ (u \ 1)). a(x,y,K(z,(u \ w) \ (x \ 1))) != v5 | a(x,y,K(z,x \ (w \ u))) = v5. a(x \ y,z,K(u,w)) = a((x \ 1) * y,z,K(u,w)). a((x \ 1) * y,z,K(u,w)) = a(x \ y,z,K(u,w)). a((T(x,y) \ 1) * (y \ 1),z,K(u,w)) = a(y \ (x \ 1),z,K(u,w)). a(x \ y,z,K(u,w)) = a((1 / x) * y,z,K(u,w)). a((1 / x) * y,z,K(u,w)) = a(x \ y,z,K(u,w)). a(x * y,z,K(u,w)) = a((x \ 1) \ y,z,K(u,w)). a((x \ 1) \ y,z,K(u,w)) = a(x * y,z,K(u,w)). K(x,K(y,L(z,u,w))) * K(x,K(y,z)) = a(z,u,K(x,K(w,y))). a(x,y \ z,K(y,K(u,w))) * K(x,K(u,w)) = K(u,K(w,z \ (y * ((y \ z) * x)))). K(x,K(y,z \ (u * ((u \ z) * w)))) = a(w,u \ z,K(u,K(x,y))) * K(w,K(x,y)). a(x,y,K(z,K(u,w))) * K(x,K(z,w)) = K(z,K(w,L(x,y,u))). a(x,y,K(z,K(u,w))) * K(x,K(z,w)) = K(z,K(w,L(x,y,u \ 1))). K(x,y) * z != L(K(x,y),u,K(w,v5)) | z = a(x,u,K(y,K(w,v5))). a(x,y,K(z,K(u,w))) = a(x,z * y,K(z,K(u,w))). a(x,y * z,K(y,K(u,w))) = a(x,z,K(y,K(u,w))). a(x,y,K(z,K(u,w))) = a(x,z \ y,K(z,K(u,w))). a(x,y \ z,K(y,K(u,w))) = a(x,z,K(y,K(u,w))). a(x,y * z,K(u,K(w,y))) = a(x,z,K(y,K(u,w))). a(x,y * z,K(u,K(w,y))) = a(x,z,K(u,K(w,y))). x != K(y,K(z,u)) * K(y,K(z,w)) | x = K(K(z,u) * K(w,z),y). a(x,y,K(z,K(u,w))) = K(K(w,L(x,y,u)) * K(x,w),z). K(K(x,L(y,z,u)) * K(y,x),w) = a(y,z,K(w,K(u,x))). K(a(x,y * z,K(z,u)),w) = a(z,y,K(w,K(x,u))). K(a(x,y * z,K(z,u)),w) = a(z,y,K(w,K(u,x))). ((K(x,y) * z) * u) * a(x,z,K(y,u)) != w | K(x,y) * (z * u) = w. x != a(y,z,K(u,K(w,v5))) * K(y,K(u,v5)) | x = K(u,K(v5,L(y,z,w))). K(x,K(y,L(z,u,w \ 1))) = K(x,K(y,L(z,u,w))). K(x,K(y,L(z,u,w))) = K(x,K(y,L(z,u,1 / w))). K(x,K(y,L(z,u,1 / w))) = K(x,K(y,L(z,u,w))). a(x,y,z) * u != T(a(x,y,z),z \ (w \ 1)) | u = a(z,y,K(x,w)). a(x,y,z * (K(u,z) / z)) = a(z,y,K(x,u)). a(x,y,K(z,u)) * w = a(x,y,u * (K(z,u) / u)) * w. a(x,y,z * (K(u,z) / z)) * w = a(x,y,K(u,z)) * w. a(x,y,z * (K(u,z) / z)) * w != v5 | a(x,y,K(u,z)) * w = v5. a(x,y,K(z,u)) * a(x,y,u) = T(a(x,y,u),u \ (z \ 1)). T(a(x,y,z),(u * z) \ w) != v5 | T(a(x,y,z),z \ (u \ w)) = v5. T(a(x,y,z),u / (w * z)) != v5 | T(a(x,y,z),z \ (u / w)) = v5. a(x,y,K(z,K(u,w))) * K(x,K(z,w)) != v5 | K(z,K(w,L(x,y,u))) = v5. (x * K(y,z)) * a(y,u,K(x / u,z)) = (K(y,T(z,x)) * u) * (u \ x). K(x,K(y,z \ (u * ((u \ z) * w)))) = a(w,z,K(u,K(x,y))) * K(w,K(x,y)). x != a(y,z,K(u,K(w,v5))) * K(y,K(w,v5)) | x = K(w,K(v5,L(y,z,u))). K(x,K(y,z \ (u * ((u \ z) * w)))) = K(x,K(y,L(w,z,u))). K(x,K(y,L(z,u \ w,u))) = K(x,K(y,L(z,w,u))). K(x,K(y,L(z,u / w,w))) = K(x,K(y,L(z,u,w))). x != a(1 / y,z,u) | x = a(y \ 1,z,u). a(1 / (x * T(y,z)),T(y,z),K(u,w)) = a((x * T(y,z)) \ 1,y * (1 / (x * y)),K(u,w)). a((x * T(y,z)) \ 1,y * (1 / (x * y)),K(u,w)) = a(1 / (x * T(y,z)),T(y,z),K(u,w)). a(T(x,y) \ (z \ 1),x * (1 / (z * x)),K(u,w)) = a(1 / (z * T(x,y)),T(x,y),K(u,w)). K(a(x,y,z),u) * T(a(x,y,z) * K(u,a(x,y,z)),w) != v5 * a(x,y,z) | a(x,y,K(z,T(w,u))) = v5. a(x \ (((y \ 1) \ 1) \ x),((y \ 1) \ 1) \ x,K(z,u)) = a(((x \ (y \ x)) \ 1) \ 1,x,K(z,u)). a(x,y,1) / (((x * y) * z) \ (x * (y * z))) = (((x * y) * z) \ (x * (y * z))) \ 1. 1 / (((x * y) * z) \ (x * (y * z))) = (((x * y) * z) \ (x * (y * z))) \ 1. (((x * y) * z) \ (x * (y * z))) \ 1 = (1 / (x * (y * z))) * ((x * y) * z). x != (y \ (z * u)) \ 1 | x = (u \ (z \ 1)) * T(y,y \ 1). (1 / (x * (y * z))) * ((x * y) * z) = ((y * z) \ (x \ 1)) * T((x * y) * z,((x * y) * z) \ 1). ((x * y) \ (z \ 1)) * T((z * x) * y,((z * x) * y) \ 1) = (1 / (z * (x * y))) * ((z * x) * y). x / ((1 / (y * (z * u))) * ((y * z) * u)) = (1 / x) \ (((y * z) * u) \ (y * (z * u))). T((1 / 1) \ (((x * y) * z) \ (x * (y * z))),1 / (x * (y * z))) = (1 / (x * (y * z))) \ (1 / ((x * y) * z)). ((x * y) \ (z \ 1)) * T((z * x) * y,y \ ((z * x) \ 1)) = (1 / (z * (x * y))) * ((z * x) * y). ((x * y) \ (z \ 1)) * T((z * x) * y,y \ (x \ (z \ 1))) = (1 / (z * (x * y))) * ((z * x) * y). ((x * y) \ (z \ 1)) * ((y \ (x \ (z \ 1))) \ 1) = (1 / (z * (x * y))) * ((z * x) * y). x != ((y * z) \ u) * ((z \ (y \ u)) \ 1) | x = (z \ (y \ u)) \ ((y * z) \ u). (1 / (x * (y * z))) * ((x * y) * z) = (z \ (y \ (x \ 1))) \ ((y * z) \ (x \ 1)). (x \ (y \ (z \ 1))) \ ((y * x) \ (z \ 1)) = (1 / (z * (y * x))) * ((z * y) * x). T(1 \ (((x * y) * z) \ (x * (y * z))),1 / (x * (y * z))) = (1 / (x * (y * z))) \ (1 / ((x * y) * z)). T(((x * y) * z) \ (x * (y * z)),1 / (x * (y * z))) = (1 / (x * (y * z))) \ (1 / ((x * y) * z)). T(((x * y) * z) \ (x * (y * z)),(x * (y * z)) \ 1) = (1 / (x * (y * z))) \ (1 / ((x * y) * z)). T(((x * y) * z) \ (x * (y * z)),(y * z) \ (x \ 1)) = (1 / (x * (y * z))) \ (1 / ((x * y) * z)). T(((x * y) * z) \ (x * (y * z)),(y * z) \ (x \ 1)) = (x * (y * z)) / ((x * y) * z). x != T(y \ (z * u),u \ (z \ 1)) | x = (u \ (z \ 1)) \ (y \ 1). (x * (y * z)) / ((x * y) * z) = ((y * z) \ (x \ 1)) \ (((x * y) * z) \ 1). ((x * y) \ (z \ 1)) \ (((z * x) * y) \ 1) = (z * (x * y)) / ((z * x) * y). ((x * y) \ (z \ 1)) \ (y \ ((z * x) \ 1)) = (z * (x * y)) / ((z * x) * y). ((x * y) \ (z \ 1)) \ (y \ (x \ (z \ 1))) = (z * (x * y)) / ((z * x) * y). x != ((y * z) \ (u \ 1)) \ (z \ (y \ (u \ 1))) | x = ((u * y) * z) \ (u * (y * z)). (x * (y * z)) / ((x * y) * z) = ((x * y) * z) \ (x * (y * z)). (1 / (x * (y * (z \ 1)))) \ (z / (x * y)) = ((x * y) * (z \ 1)) \ (x * (y * (z \ 1))). (((x * y) * z) \ (x * (y * z))) \ 1 = ((x * y) * z) * ((x * (y * z)) \ 1). x != (((y * z) * u) \ (y * (z * u))) \ 1 | x = (1 / (y * (z * u))) * ((y * z) * u). ((x * y) * z) * ((x * (y * z)) \ 1) = (1 / (x * (y * z))) * ((x * y) * z). (1 / (x * (y * z))) * ((x * y) * z) = ((x * y) * z) * ((x * (y * z)) \ 1). (1 / (x * (y * z))) * ((x * y) * z) = ((x * y) * z) * ((y * z) \ (x \ 1)). x != (1 / (y * (z * u))) * ((y * z) * u) | x = (u \ (z \ (y \ 1))) \ ((z * u) \ (y \ 1)). ((x * y) * z) * ((y * z) \ (x \ 1)) = (z \ (y \ (x \ 1))) \ ((y * z) \ (x \ 1)). (x \ (y \ (z \ 1))) \ ((y * x) \ (z \ 1)) = ((z * y) * x) * ((y * x) \ (z \ 1)). x != (y \ (z \ u)) \ ((z * y) \ u) | x = a(1 / u,z,y). ((x * y) * z) * ((y * z) \ (x \ 1)) = a(1 / (x \ 1),y,z). (((x * y) * z) * ((y * z) \ (x \ 1))) * (x * (y * z)) = (x * (y * z)) * ((a(x,y,z) \ 1) \ 1). ((x * y) * z) * ((y * z) \ (x \ 1)) = a(x,y,z). a(x,y,z) = ((x * y) * z) * ((y * z) \ (x \ 1)). (x * (1 / (((y * z) \ (u \ 1)) * x))) / ((u * y) * z) = x * (1 / (a(u,y,z) * x)). a(x,y,z * K(u,K(w,y * z))) = ((x * y) * (z * K(u,K(w,y * z)))) * (T(y * z,K(u,w)) \ (x \ 1)). ((x * y) * (z * K(u,K(w,y * z)))) * (T(y * z,K(u,w)) \ (x \ 1)) = a(x,y,z * K(u,K(w,y * z))). (x * ((1 / (1 / x)) \ (y * (z * u)))) / ((y * z) * u) = x * (1 / (a(y,z,u) * x)). (K(x,x \ 1) * (y * (z * u))) / ((y * z) * u) = x * (1 / (a(y,z,u) * x)). x != (K(y,y \ 1) * z) / u | x = K(y,y \ 1) * (z / u). x * (1 / (a(y,z,u) * x)) = K(x,x \ 1) * ((y * (z * u)) / ((y * z) * u)). K(x,x \ 1) * ((y * (z * u)) / ((y * z) * u)) = x * (1 / (a(y,z,u) * x)). a(x,y,z) \ 1 = (x * (y * z)) / ((x * y) * z). (x * (y * z)) / ((x * y) * z) = a(x,y,z) \ 1. x != (y * (z * u)) / ((y * z) * u) | x = ((y * z) * u) \ (y * (z * u)). a(x,y,z) \ 1 = ((x * y) * z) \ (x * (y * z)). ((x * y) * z) \ (x * (y * z)) = a(x,y,z) \ 1. (a(x,y,z \ 1) \ 1) \ (z / (x * y)) = (x * (y * (z \ 1))) \ K(z \ (x * y),(x * y) \ z). (x * (y * (z \ 1))) \ K(z \ (x * y),(x * y) \ z) = (a(x,y,z \ 1) \ 1) \ (z / (x * y)). ((1 / 1) \ ((x / y) / z)) \ (x / (z * y)) = ((z * y) * (x \ 1)) \ (z * (y * (x \ 1))). (1 \ ((x / y) / z)) \ (x / (z * y)) = ((z * y) * (x \ 1)) \ (z * (y * (x \ 1))). ((x * y) * (z \ 1)) \ (x * (y * (z \ 1))) = (1 \ ((z / y) / x)) \ (z / (x * y)). ((x * y) * (z \ 1)) \ (x * (y * (z \ 1))) = ((z / y) / x) \ (z / (x * y)). x != ((y * z) * u) \ (y * (z * u)) | x = a(y,z,u) \ 1. ((x / y) / z) \ (x / (z * y)) = a(z,y,x \ 1) \ 1. ((((x * y) * z) / z) / y) \ R(x,y,z) = a(y,z,((x * y) * z) \ 1) \ 1. T((x / y) / z,a(z,y,x \ 1) \ 1) = (((x / y) / z) \ (x / (z * y))) \ (x / (z * y)). (((x / y) / z) \ (x / (z * y))) \ (x / (z * y)) = T((x / y) / z,a(z,y,x \ 1) \ 1). (a(x,y,z \ 1) \ 1) \ ((z / (x * y)) / ((z / y) / x)) = K((z / y) / x,((z / y) / x) \ (z / (x * y))). ((x / y) / z) * ((x / (z * y)) \ K((x / y) / z,a(z,y,x \ 1) \ 1)) = (((x / y) / z) \ (x / (z * y))) \ 1. ((x * y) / y) \ R(x,y,z) = a(y,z,((x * y) * z) \ 1) \ 1. a(x,y,((z * x) * y) \ 1) \ 1 = ((z * x) / x) \ R(z,x,y). a(x,y,((z * x) * y) \ 1) \ 1 = z \ R(z,x,y). a(x,y,y \ ((z * x) \ 1)) \ 1 = z \ R(z,x,y). a(x,y,y \ (x \ (z \ 1))) \ 1 = z \ R(z,x,y). T(x,(y \ R(y,z,u)) \ 1) = T(x,T(a(z,u,u \ (z \ (y \ 1))),1)). T(x,T(a(y,z,z \ (y \ (u \ 1))),1)) = T(x,(u \ R(u,y,z)) \ 1). a(x,y,K(y \ (K(x,z) \ (u \ 1)),z)) \ 1 = u \ R(u,K(x,z),y). T(x,T(a(y,z,z \ (y \ (u \ 1))),1)) = T(x,R(u,y,z) \ u). T(x,a(y,z,z \ (y \ (u \ 1)))) = T(x,R(u,y,z) \ u). a(x,y,K(y \ (K(z,x) * (u \ 1)),z)) \ 1 = u \ R(u,K(x,z),y). a(x,y,K(y \ (z \ 1),u)) \ 1 = z \ R(z,K(x,u),y). (a(x,y,z \ 1) \ 1) \ (z / (x * y)) = T((z / y) / x,a(x,y,z \ 1) \ 1). (x / (y * z)) / T((x / z) / y,a(y,z,x \ 1) \ 1) = a(y,z,x \ 1) \ 1. (a(x,y,z \ 1) \ 1) \ (z / (x * y)) != u | u = T((z / y) / x,a(x,y,z \ 1) \ 1). (a(x,y,z \ 1) \ 1) \ (z / (x * y)) != u | T((z / y) / x,a(x,y,z \ 1) \ 1) = u. (((x * y) * z) * ((y * z) \ (x \ 1))) * (x * (y * z)) = (x * (y * z)) * a(x,y,z). x != (y * (z * u)) * a(y,z,u) | x = (y * z) * u. (((x * y) * z) * ((y * z) \ (x \ 1))) * (x * (y * z)) = (x * y) * z. a(x,y,z) * (x * (y * z)) = (x * y) * z. ((x * y) * z) / (x * (y * z)) != u | u = a(x,y,z). ((x * y) * z) / (x * (y * z)) != u | a(x,y,z) = u. (x * (y * (z \ 1))) \ K(z \ (x * y),(x * y) \ z) != u | T((z / y) / x,a(x,y,z \ 1) \ 1) = u. (a(x,y,z \ 1) \ 1) \ ((z / (x * y)) / ((z / y) / x)) = K((z / y) / x,a(x,y,z \ 1) \ 1). a(((x * y) \ x) \ 1,z,((x * y) \ x) \ 1) * K(T(z,y),1 / ((x * y) \ x)) = K(z * (1 / ((x * y) \ x)),1 / ((x * y) \ x)). a(x \ (x * y),z,x \ (x * y)) * K(T(z,y),1 / ((x * y) \ x)) = K(z * (1 / ((x * y) \ x)),1 / ((x * y) \ x)). a(x,y,z \ (z * x)) * K(T(y,x),1 / ((z * x) \ z)) = K(y * (1 / ((z * x) \ z)),1 / ((z * x) \ z)). a(x,y,x) * K(T(y,x),1 / ((z * x) \ z)) = K(y * (1 / ((z * x) \ z)),1 / ((z * x) \ z)). K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(z,x,z) * K(T(x,z),1 / ((y * z) \ y)). K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(z,x,z) * K(T(x,z),y \ (y * z)). K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(z,x,z) * K(T(x,z),z). K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(z,x,z) * K(x,z). x != a(y,z,y) * K(z,y) | x = K(y * z,y). K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = K(z * x,z). K(x * (1 / ((y * z) \ y)),y \ (y * z)) = K(z * x,z). K(x * (1 / ((y * z) \ y)),z) = K(z * x,z). x != K(y * (1 / z),u) | x = K(y * (z \ 1),u). K(x * y,x) = K(y * (((z * x) \ z) \ 1),x). K(x * (((y * z) \ y) \ 1),z) = K(z * x,z). K(((x * y) \ x) \ z,y) = K(y * z,y). K(((x * y) \ x) \ (y \ z),y) = K(z,y). x != K(((y * z) \ y) \ (z \ ((1 / ((y * z) \ y)) \ u)),z) | x = K(z \ u,z). K((1 / ((x * y) \ x)) \ z,y) = K(y \ z,y). K((((x * y) \ x) \ 1) \ z,y) = K(y \ z,y). x != K((((y * z) \ y) \ 1) \ u,z) | x = K(u * ((y * z) \ y),z). K(x \ y,x) = K(y * ((z * x) \ z),x). K(x * ((y * z) \ y),z) = K(z \ x,z). K(x * (y \ z),z \ y) = K((z \ y) \ x,z \ y). K((x \ y) \ z,x \ y) = K(z * (y \ x),x \ y). x != K(y * (z \ u),u \ z) | x = K(y * (u / z),u \ z). K((x \ y) \ z,x \ y) = K(z * (x / y),x \ y). x * K(x * (y / z),y \ z) = ((y \ z) \ x) * (y \ z). x != y * K(y * (z / u),z \ u) | x = ((1 / (u \ z)) \ y) * (1 / (u \ z)). ((x \ y) \ z) * (x \ y) = ((1 / (y \ x)) \ z) * (1 / (y \ x)). ((1 / (x \ y)) \ z) * (1 / (x \ y)) = ((y \ x) \ z) * (y \ x). x != ((1 / y) \ z) * (1 / y) | x = ((y \ 1) \ z) * (y \ 1). ((x \ y) \ z) * (x \ y) = (((y \ x) \ 1) \ z) * ((y \ x) \ 1). (((x \ y) \ 1) \ z) * ((x \ y) \ 1) = ((y \ x) \ z) * (y \ x). x != ((((y * z) \ y) \ 1) \ u) * (((y * z) \ y) \ 1) | x = ((y * z) \ y) \ T(((y * z) \ y) * u,z). ((x \ (x * y)) \ z) * (x \ (x * y)) = ((x * y) \ x) \ T(((x * y) \ x) * z,y). ((x * y) \ x) \ T(((x * y) \ x) * z,y) = ((x \ (x * y)) \ z) * (x \ (x * y)). ((x * y) \ x) \ T(((x * y) \ x) * z,y) = (y \ z) * (x \ (x * y)). ((x * y) \ x) \ T(((x * y) \ x) * z,y) = (y \ z) * y. (((x \ y) * x) \ 1) * ((y \ 1) \ 1) = K(x,y * ((z * x) \ z)). K(x,y * ((z * x) \ z)) = (((x \ y) * x) \ 1) * ((y \ 1) \ 1). x != (((y \ z) * y) \ 1) * ((z \ 1) \ 1) | x = K(y,y \ z). K(x,y * ((z * x) \ z)) = K(x,x \ y). K(x \ y,z * (y \ x)) = K(x \ y,(x \ y) \ z). K(x \ y,(x \ y) \ z) = K(x \ y,z * (y \ x)). x != K(y \ z,u * (z \ y)) | x = K(y \ z,u * (y / z)). K(x \ y,(x \ y) \ z) = K(x \ y,z * (x / y)). x * K(y \ z,x * (y / z)) = (y \ z) * (x / (y \ z)). x != y * K(z \ u,y * (z / u)) | x = (1 / (u \ z)) * (y / (1 / (u \ z))). (x \ y) * (z / (x \ y)) = (1 / (y \ x)) * (z / (1 / (y \ x))). (1 / (x \ y)) * (z / (1 / (x \ y))) = (y \ x) * (z / (y \ x)). x != (y / z) \ T(y,K(u,w)) | x = z * K(u,K(w,y)). T(x * (K(y,z) * u),L(K(z,y),u,x)) * L(K(z,y),u,x) = (x * T(u,K(y,z))) * K(z,K(L(y,u,x),x * (K(y,z) * u))). (x * T(y,K(z,u))) * K(u,K(L(z,y,x),x * (K(z,u) * y))) = T(x * (K(z,u) * y),L(K(u,z),y,x)) * L(K(u,z),y,x). (x * T(y,K(z,u))) * K(u,K(L(z,y,x),x * y)) = T(x * (K(z,u) * y),L(K(u,z),y,x)) * L(K(u,z),y,x). T(x * (K(y,z) * u),L(K(z,y),u,x)) * L(K(z,y),u,x) = (x * T(u,K(y,z))) * K(z,K(L(y,u,x),x * u)). T(x * (K(y,z) * u),L(K(z,y),u,x)) * L(K(z,y),u,x) = (x * T(u,K(y,z))) * K(z,K(x * u,L(y,u,x))). T(x * (K(y,z) * u),L(K(z,y),u,x)) * L(K(z,y),u,x) = (x * T(u,K(y,z))) * K(z,K(y,x * u)). T(x * (K(y,z) * u),L(K(z,y),u,x)) * L(K(z,y),u,x) = (x * T(u,K(y,z))) * K(y,K(z,x * u)). T(x * (K(y,z) * u),K(z,L(y,u,x))) * L(K(z,y),u,x) = (x * T(u,K(y,z))) * K(y,K(z,x * u)). x != T(y,K(z,u)) * L(K(z,w),v5,v6) | x = T(y * L(K(z,w),v5,v6),K(z,u)). (x * T(y,K(z,u))) * K(z,K(u,x * y)) = T((x * (K(z,u) * y)) * L(K(u,z),y,x),K(u,L(z,y,x))). T((x * (K(y,z) * u)) * L(K(z,y),u,x),K(z,L(y,u,x))) = (x * T(u,K(y,z))) * K(y,K(z,x * u)). T(x * T(y,K(z,u)),K(u,L(z,y,x))) = (x * T(y,K(z,u))) * K(z,K(u,x * y)). (x * T(y,K(z,u))) * K(z,K(u,x * y)) = T(x * T(y,K(z,u)),K(u,L(z,y,x))). T(x * T(y,K(z,u)),K(u,L(z,y,x))) != w * v5 | w \ ((x * T(y,K(z,u))) * K(z,K(u,x * y))) = v5. (x * (K(y,x) / T(x,z))) \ L(u,(x * (K(y,x) / T(x,z))) \ 1,x * (K(y,x) / T(x,z))) = ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u. (x * (K(y,x) / T(x,z))) \ L(u,(x \ K(x,y)) * T(x,z),x * (K(y,x) / T(x,z))) = ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u. (x * (K(y,x) / T(x,z))) \ L(u,(x \ K(x,y)) * T(x,z),K(y,x) * K(z,x)) = ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u. (x * (K(y,x) / T(x,z))) \ L(u,K(x,y) * K(x,z),K(y,x) * K(z,x)) = ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u. (x * (K(y,x) / T(x,z))) \ u = ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u. ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u = (x * (K(y,x) / T(x,z))) \ u. ((((x \ K(x,y)) * T(x,z)) \ 1) \ 1) * u = (x * (K(y,x) / T(x,z))) \ u. ((x * (K(y,x) / T(x,z))) \ 1) * u = (x * (K(y,x) / T(x,z))) \ u. ((x \ K(x,y)) * T(x,z)) * u = (x * (K(y,x) / T(x,z))) \ u. (x * (K(y,x) / T(x,z))) \ u = ((x \ K(x,y)) * T(x,z)) * u. L(((x \ K(x,y)) * T(x,z)) * u,T(x,z) \ ((x \ 1) \ K(y,x)),T(x,z)) = ((x \ 1) \ K(y,x)) \ (T(x,z) * u). L(((x \ K(x,y)) * T(x,z)) * u,x * (K(y,x) / T(x,z)),T(x,z)) = ((x \ 1) \ K(y,x)) \ (T(x,z) * u). x != L(y,z * (K(u,w) / T(w,v5)),v6) | x = L(y,z * (T(w,u) \ K(v5,w)),v6). ((x \ 1) \ K(y,x)) \ (T(x,z) * u) = L(((x \ K(x,y)) * T(x,z)) * u,x * (T(x,y) \ K(z,x)),T(x,z)). L(((x \ K(x,y)) * T(x,z)) * u,x * (T(x,y) \ K(z,x)),T(x,z)) = ((x \ 1) \ K(y,x)) \ (T(x,z) * u). L(((x \ K(x,y)) * T(x,z)) * u,K(y,x) * K(z,x),T(x,z)) = ((x \ 1) \ K(y,x)) \ (T(x,z) * u). x != L(y,K(z,u) * K(w,u),T(u,w)) | x = y. ((x \ 1) \ K(y,x)) \ (T(x,z) * u) = ((x \ K(x,y)) * T(x,z)) * u. (((x \ K(x,y)) * T(x,x \ 1)) * z) * K((K(x,y) / x) * (x * z),u) = T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),u). (K(x,y) * z) * K((K(x,y) / x) * (x * z),u) = T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),u). T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),u) = (K(x,y) * z) * K((K(x,y) / x) * (x * z),u). x != T(y,z * u) | x = T(y,T(z,z \ 1) * u). (K(x,y) * z) * K((K(x,y) / x) * (x * z),u * w) = T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(u,u \ 1) * w). T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(u,u \ 1) * w) = (K(x,y) * z) * K((K(x,y) / x) * (x * z),u * w). T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(u,u \ 1) * w) = (K(x,y) * z) * K((x \ K(x,y)) * (x * z),u * w). T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = (K(x,y) * z) * K(x \ (x * z),T(x * z,y)). T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = (K(x,y) * z) * K(z,T(x * z,y)). T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = K(x,y) * T(z,T(x * z,y)). x != K(y,z) * T(u,T(y * u,z)) | x = T(u,y * u) * K(y,z). T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = T(z,x * z) * K(x,y). T(((x \ 1) \ K(y,x)) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = T(z,x * z) * K(x,y). T(((x \ K(x,y)) * T(x,x \ 1)) * z,T(x,x \ 1) * z) = T(z,x * z) * K(x,y). T(K(x,y) * z,T(x,x \ 1) * z) = T(z,x * z) * K(x,y). x != T(y,T(z,z \ 1) * u) | x = T(y,z * u). T(x,y * x) * K(y,z) = T(K(y,z) * x,y * x). T(K(x,y) * z,x * z) = T(z,x * z) * K(x,y). T(K(x,y) * z,x * z) = T(z,z * x) * K(x,y). T(K(x,x * (y \ L(y,z,u))) * w,x * w) = T(w,w * x) * a(u,z,K(y,x)). T(a(x,y,K(z,u)) * w,u * w) = T(w,w * u) * a(x,y,K(z,u)). x != T(y,y * z) * a(y,u,K(w,z)) | x = T(y,R(y * z,u,w)). T(a(x,y,K(z,u)) * x,u * x) = T(x,R(x * u,y,z)). T(x * a(x,y,K(z,u)),u * x) = T(x,R(x * u,y,z)). (((a(x,y,z) \ 1) * u) * a(u,z \ L(z,y,x),u)) \ ((u * (a(x,y,z) \ 1)) * u) = R(T(u,a(x,y,z) \ u),(a(x,y,z) \ 1) * u,a(u,a(x,y,z) \ 1,u)). x != R(y,z,a(u,w,u)) | x = y. (((a(x,y,z) \ 1) * u) * a(u,z \ L(z,y,x),u)) \ ((u * (a(x,y,z) \ 1)) * u) = T(u,a(x,y,z) \ u). ((a(x,y,z) \ 1) * R(u,z \ L(z,y,x),u)) \ ((u * (a(x,y,z) \ 1)) * u) = T(u,a(x,y,z) \ u). x != (y * R(z,u,z)) \ ((z * y) * z) | x = L(T(z,y),u,z). T(x,a(y,z,u) \ x) = L(T(x,a(y,z,u) \ 1),u \ L(u,z,y),x). L(T(x,a(y,z,u) \ 1),u \ L(u,z,y),x) = T(x,a(y,z,u) \ x). x != L(T(y,a(z,u,w) \ 1),w \ L(w,u,z),y) | x = y * a(z,u,K(w,y)). T(x,a(y,z,u) \ x) = x * a(y,z,K(u,x)). K(x,a(y,z,u) \ x) = a(y,z,K(u,x)). x != y * a(z,u,K(w,v5)) | x = y * a(v5,u,K(z,w)). T(x,a(y,z,u) \ x) = x * a(x,z,K(y,u)). T(T(x,a(y,z,u) \ x),u) = T(x,L(u,z,y)). T(T(x,a(y,z,u) \ x),x * u) = T(x,L(u * x,z,y)). x != a(y,z,K(u,w)) | x = a(w \ 1,z,K(u,y)). K(x,a(y,z,u) \ x) = a(x \ 1,z,K(u,y)). T(T(x,a(y,z,u) \ x),u * x) = T(x,R(x * u,z,y)). T(T(x,y),a(z,u,y) \ x) = T(x,L(y,u,z)). K(x,a(y,z,u) \ x) != w | a(y,z,K(u,x)) = w. a(x,y,z) * a(u \ 1,y,K(z,x)) = T(a(x,y,z),a(x,y,z) \ u). T(T(x,y * (z * (u \ 1))),a(w,v5,y * (z * (1 / u))) \ x) = T(x,L(y * (z * (1 / u)),v5,w)). T(T(x,x * y),a(z,u,y) \ x) = T(x,L(y * x,u,z)). T(T(x,x * y),a(z,u,y) \ x) = T(x,R(x * y,u,z)). x != T(T(y,y * z),a(u,w,z) \ y) | x = T(y,L(z * y,w,u)). T(x,R(x * y,z,u)) = T(x,L(y * x,z,u)). x != T(y,R(y * (z / T(1 / (1 / y),u)),w,v5)) | x = T(y,R(z,w,v5)). T(x,L((y / T(1 / (1 / x),z)) * x,u,w)) = T(x,R(y,u,w)). T(x,L(y * (x * (1 / T(x,z))),u,w)) = T(x,R(y,u,w)). x != a(y,z,u) * a(w,z,K(u,y)) | x = T(a(y,z,u),u \ (w \ 1)). T(a(x,y,z),a(x,y,z) \ u) = T(a(x,y,z),z \ ((u \ 1) \ 1)). a(x,y,z) * a(u * (w \ 1),y,K(z,x)) = T(a(x,y,z),a(x,y,z) \ (w / u)). T(a(x,y,z),a(x,y,z) \ u) = T(a(x,y,z),z \ u). T(T(x,y * (z * (u \ 1))),a(w,v5,y * (z * (u \ 1))) \ x) = T(x,L(y * (z * (1 / u)),v5,w)). x != T(T(y,z),a(u,w,z) \ y) | x = T(y,L(z,w,u)). T(x,L(y * (z * (1 / u)),w,v5)) = T(x,L(y * (z * (u \ 1)),w,v5)). x != T(y,L(z * (y * (1 / T(y,u))),w,v5)) | x = T(y,R(z,w,v5)). T(x,L(y * (x * (T(x,z) \ 1)),u,w)) = T(x,R(y,u,w)). T(x,L(y * K(z,x),u,w)) = T(x,R(y,u,w)). T(x,L(y,z,u)) = T(x,R(y,z,u)). T(x,R(y,z,u)) = T(x,L(y,z,u)). x * y != T(z,R(u,w,v5)) | x \ T(z,L(u,w,v5)) = y. x \ T(x,L(y,z,u)) = K(x,R(y,z,u)). K(x,L(y,z,u)) = K(x,R(y,z,u)). K(x,R(y,z,u)) = K(x,L(y,z,u)). x != K(y,L(z,u,w)) | x = L(K(y,z),u,w). K(x,R(y,z,u)) = L(K(x,y),z,u). L(K(x,y),z,u) = K(x,R(y,z,u)). x != K(y,R(z,u,w)) | x = K(R(y,u,w),z). K(x,L(y,z,u)) = K(R(x,z,u),y). K(R(x,y,z),u) = K(x,L(u,y,z)). x != K(y,R(z,u,w)) | x = R(K(y,z),u,w). K(x,L(y,z,u)) = R(K(x,y),z,u). R(K(x,y),z,u) = K(x,L(y,z,u)). K(x,y / (z * u)) = K(x,L((y / u) / z,z,u)). K(x,L((y / z) / u,u,z)) = K(x,y / (u * z)). K(x,T(y / (z * u),z)) = K(x,L(z \ (y / u),z,u)). K(x,L(y \ (z / u),y,u)) = K(x,T(z / (y * u),y)). ((x * y) * z) * K(y * z,L(x,y,z)) = (y * z) * R(x,y,z). K(x,K((1 / (y \ z)) / u,L(u / y,y,y \ z))) = K(x,K(z,(1 / (y \ z)) / u)). L(K(x,y),z,u) = R(K(x,y),z,u). R(K(x,y),z,u) = L(K(x,y),z,u). x != K(y,L(z,u,w)) | x = K(L(y,u,w),z). K(R(x,y,z),u) = K(L(x,y,z),u). K(x,L(y,z,u)) * (x \ R(x,z,u)) = R(T(x,y),z,u) * (x \ 1). K(x,L(y,z,u)) * (z * u) = (K(x,y) * z) * u. K(R(x,y,z) \ 1,u) = L(K(x \ 1,u),y,z). L(K(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). L(K(x / (y / z),u),x,z) = K((x * z) / y,u). L(K(x,y),z,u) * (z * u) = (K(x,y) * z) * u. L(K(x,y),z,u) \ ((K(x,y) * z) * u) = z * u. L(L(K(x,y),z,u),w,v5) * (z * u) = (L(K(x,y),w,v5) * z) * u. (K(x,T(y,z)) * u) * (u \ z) = z * L(K(x,y),u,u \ z). L(K(x,y),z,u) \ (u * (K(x,y) * z)) = z * T(u,K(x,y) * z). K((x * y) / (z * y),u) = K(L(x / z,z,y),u). K(L(x / y,y,z),u) = K((x * z) / (y * z),u). K(x / (y * z),u) = K(L((x / z) / y,y,z),u). K(L((x / y) / z,z,y),u) = K(x / (z * y),u). K(L(x * K(y,x),y,z),T(u,y * z)) != w | K((y * z) \ ((y * x) * z),u) = w. K(L(x,y,z) \ 1,u) = K(R(x,y,z) \ 1,u). K(R(x,y,z) \ 1,u) = K(L(x,y,z) \ 1,u). (x \ K(L(y,z,u) \ 1,w)) \ (x \ 1) = K(w,R(y,z,u) \ 1). K(x,K((y / z) / u,L(w,y / z,z))) = K(x,K(w,y / (u * z))). x \ (y * (K((y \ x) / (z / y),u) * (y \ x))) = K(((y \ x) * y) / z,T(u,y \ x)). L(K(x,y),z,u) * (z * u) = (K(y,x) \ z) * u. K(x,1 / L(y,z,u)) * (z * u) = (K(x,1 / y) * z) * u. K((x * y) \ z,T(u,y)) = K(((x \ z) * x) / (y * x),u). K(L((x / y) / K(z,u),K(z,u),y),w) = K(x / (K(u,z) \ y),w). x != L(K(y,z),u,w) * v5 | x = L(K(z,y),u,w) \ v5. (K(x,y) \ z) * u = L(K(x,y),z,u) \ (z * u). L(K(x,y),z,u) \ (z * u) = (K(x,y) \ z) * u. K(x,(y * z) \ K(y,1 / y)) = K(x,T(1 / (z * y),z)). K(x,T(1 / (y * z),y)) = K(x,(z * y) \ K(z,1 / z)). x != K(y,z) | x = (((u \ w) \ w) * K(z,y)) \ T(u,u \ w). K((x * y) \ z,T(u,y)) = (((w \ v5) \ v5) * K(u,((x \ z) * x) / (y * x))) \ T(w,w \ v5). K((K(x,y) * T(z,K(y,x))) \ u,T(w,T(z,K(y,x)))) = K(((K(x,y) \ u) * K(x,y)) / (K(x,y) * z),w). x != (K(y,T(z,u)) * w) * (w \ u) | x = (u * K(y,z)) * a(y,w,K(u / w,z)). x * L(K(y,z),u,u \ x) = (x * K(y,z)) * a(y,u,K(x / u,z)). (x * K(y,z)) * a(y,u,K(x / u,z)) = x * L(K(y,z),u,u \ x). K(x,1 / L(y,z,u)) * (z * T(u,z)) = (K(x,1 / y) * z) * T(u,z). ((x * y) * z) * K(y * z,x) = (y * z) * R(x,y,z). R(x,y,z) * T(y * z,x) = (y * z) * R(x,y,z). x != R(y,z,u) * T(z * u,y) | x = ((z * u) * y) * a(y,z,u). (x * y) * R(z,x,y) = ((x * y) * z) * a(z,x,y). ((x * y) * z) * a(z,x,y) = (x * y) * R(z,x,y). ((K(x,y) * z) * u) * a(u,z,K(x,T(y,z))) = (z * K(x,T(y,z))) * R(u,z,K(x,T(y,z))). K(x,L(y,z,u) \ 1) = K(x,R(y,z,u) \ 1). K(x,R(y,z,u) \ 1) = K(x,L(y,z,u) \ 1). K(x,T((y * z) / u,u / z) \ 1) = K(x,L((u / z) \ y,u / z,z) \ 1). K(x,L((y / z) \ u,y / z,z) \ 1) = K(x,T((u * z) / y,y / z) \ 1). L(K(x,y),z,u) * (u * (K(y,x) * z)) = z * T(u,K(y,x) * z). K(x,K((y / z) * u,L(w,y / z,z))) = K(x,K(w,y / ((1 / u) * z))). K(L((x / y) * K(z,u),K(u,z),y),w) = K(x / (K(z,u) \ y),w). x != L(K(y,z),u,w) * v5 | x = T(v5 * L(K(y,z),u,w),K(z,L(y,u,w))). x * T(y,K(z,u) * x) = T((y * (K(z,u) * x)) * L(K(u,z),x,y),K(z,L(u,x,y))). T((x * (K(y,z) * u)) * L(K(z,y),u,x),K(y,L(z,u,x))) = u * T(x,K(y,z) * u). a(x \ y,x,K(z,u)) = a(u,x,K(y / x,z)). a(x,y,K(z,u)) = a(u,y,K((y * x) / y,z)). a(x,y,K((y * z) / y,u)) = a(z,y,K(u,x)). a(x,y,K(z,T(u,y))) = a(z,y,K(u,x)). K(x,K(y,L(z,u,w))) * (u * T(w,u)) = (K(x,1 / K(y,z)) * u) * T(w,u). x != K(y,T(z,u) \ 1) | x = K(y,T(z \ 1,u)). K(x,L((y / z) \ u,y / z,z) \ 1) = K(x,T(((u * z) / y) \ 1,y / z)). K(x,K(y,L(z,u,w))) * (w * u) = (K(x,1 / K(y,z)) * u) * T(w,u). x != K(y,T((z / u) \ 1,w)) | x = K(y,T(u / z,w)). K(x,L((y / z) \ u,y / z,z) \ 1) = K(x,T(y / (u * z),y / z)). K(x,(y * z) \ (y * (u / y))) = K(x,T(u / (z * y),u / y)). K(x,T(y / (z * u),y / u)) = K(x,(u * z) \ (u * (y / u))). x != K(y,((z \ u) * z) \ w) | x = K(y,T(u,z) \ w). K(x,T(y / (z * (z \ u)),y / (z \ u))) = K(x,T(u,z) \ ((z \ u) * (y / (z \ u)))). K(x,T(y / ((z / (z * u)) * (z * u)),y / (z * u))) = K(x,(z * K(z * u,u \ 1)) \ ((z * u) * (y / (z * u)))). T(x * T(y,K(z,u)),K(z,L(u,y,x))) = y * T(x,K(z,u) * y). T(x * T(y,K(z,u)),K(u,L(z,y,x))) = y * T(x,K(u,z) * y). x \ ((y * T(x,K(z,u))) * K(z,K(u,y * x))) = T(y,K(u,z) * x). x \ ((y * T(x,K(z,u))) * (K(u,T(z,y * x)) * K(z,u))) = T(y,K(u,z) * x). x \ (((y * T(x,K(z,u))) * K(z,u)) * K(u,T(z,y * x))) = T(y,K(u,z) * x). x \ (((y * T(x,K(z,u))) * K(z,u)) * K(u,T(z,y * T(x,K(z,w))))) = T(y,K(u,z) * x). K(x,T(y / z,y / (u \ z))) = K(x,T(z,u) \ ((u \ z) * (y / (u \ z)))). K((x * y) \ z,T(u,y)) != w | K(((x \ z) * x) / (y * x),u) = w. ((K(x,y) * z) * u) * a(x,z,K(y,u)) = (z * K(x,T(y,z))) * R(u,z,K(x,T(y,z))). K(x,y) * (z * u) = (z * K(x,T(y,z))) * R(u,z,K(x,T(y,z))). (x * K(y,T(z,x))) * R(u,x,K(y,T(z,x))) = K(y,z) * (x * u). (K(x,y) * z) * R(u,z,K(x,T(y,z))) = K(x,y) * (z * u). (K(x,y) * z) * R(u,z,K(x,y)) = K(x,y) * (z * u). L(x,y,K(z,u)) = R(x,y,K(z,u)). R(x,y,K(z,u)) = L(x,y,K(z,u)). x != R(y,z,K(u,w)) | x = L(y,1 / (y * z),K(w,u)). L(x,y,K(z,u)) = L(x,1 / (x * y),K(u,z)). L(x,1 / (x * y),K(z,u)) = L(x,y,K(u,z)). x != R(y / (z \ K(u,w)),z \ K(u,w),K(w,u)) | x = (K(u,w) / y) \ z. L(x / (y \ K(z,u)),y \ K(z,u),K(u,z)) = (K(z,u) / x) \ y. x != R(y \ (z / u),y,u) | x = T(z / (y * u),y). L(x \ (y / K(z,u)),x,K(z,u)) = T(y / (x * K(z,u)),x). L(x,x \ y,K(z,u)) \ (y * K(z,u)) = (x \ y) * K(z,u). x != L(y,1 / z,u) | x = L(y,z \ 1,u). L(x,y,K(z,u)) = L(x,(x * y) \ 1,K(u,z)). L(x,(x * y) \ 1,K(z,u)) = L(x,y,K(u,z)). L(x,1 / (y * x),K(z,u)) = L(x,T(y,x),K(u,z)). L(x,y,K(z,x)) != u | u = x. L(x,y \ (x \ 1),K(z,u)) = L(x,y,K(u,z)). x != L(y,T(z,y),u) | x = L(y,z,u). L(x,1 / (y * x),K(z,u)) = L(x,y,K(u,z)). L(x,y,K(z,u)) = L(x,(y * x) \ 1,K(u,z)). L(x,(y * x) \ 1,K(z,u)) = L(x,y,K(u,z)). L(x,x \ (y \ 1),K(z,u)) = L(x,y,K(u,z)). x != L(y \ (z / K(u,w)),y,K(u,w)) | x = (K(u,w) * y) \ T(z,K(u,w)). T(x / (y * K(z,u)),y) = (K(z,u) * y) \ T(x,K(z,u)). (K(x \ y,y \ x) / z) \ u = z / (u \ K(x \ y,y \ x)). x / (y \ K(z \ u,u \ z)) = (K(z \ u,u \ z) / x) \ y. x / (y * (z \ K(u \ w,w \ u))) = (K(u \ w,w \ u) / x) \ (z / y). x / (y * (z * (u \ K(w \ v5,v5 \ w)))) = (K(w \ v5,v5 \ w) / x) \ ((u / z) / y). a(x,y,z \ K(u \ w,w \ u)) = (K(u \ w,w \ u) / ((x * y) * (z \ K(u \ w,w \ u)))) \ ((z / y) / x). (K(x \ y,y \ x) / ((z * u) * (w \ K(x \ y,y \ x)))) \ ((w / u) / z) = a(z,u,w \ K(x \ y,y \ x)). x \ (((y * T(x,K(z,u))) * K(z,u)) * ((K(z,u) * (y * T(x,K(z,w)))) \ (y * T(x,K(z,w))))) = T(y,K(u,z) * x). K((x * K(y,z)) \ u,T(w,T(x,K(z,y)))) = K(((K(y,z) \ u) * K(y,z)) / (K(y,z) * x),w). ((K(x \ y,y \ x) / K(x \ y,y \ x)) \ (z / (u * w))) \ ((z / w) / u) = a(u,w,z \ K(x \ y,y \ x)). (1 \ (x / (y * z))) \ ((x / z) / y) = a(y,z,x \ K(u \ w,w \ u)). a(x,y,z \ K(u \ w,w \ u)) = (1 \ (z / (x * y))) \ ((z / y) / x). a(x,y,z \ K(u \ w,w \ u)) = (z / (x * y)) \ ((z / y) / x). a(x,y,z \ 1) = (z / (x * y)) \ ((z / y) / x). (x / (y * z)) \ ((x / z) / y) = a(y,z,x \ 1). T(((x / y) / z) / (x / (z * y)),x / (z * y)) = a(z,y,x \ 1). x != (y / (z * u)) \ ((y / u) / z) | x = ((y / u) / z) / (y / (z * u)). a(x,y,z \ 1) = ((z / y) / x) / (z / (x * y)). ((x / y) / z) / (x / (z * y)) = a(z,y,x \ 1). ((x * y) / (z * y)) \ (x / z) = a(z,y,(x * y) \ 1). ((x * y) / (z * y)) \ (x / z) = a(z,y,y \ (x \ 1)). K(x,T(a(y,z,z \ (u \ 1)),(u * z) / (y * z))) != w | K(x,(u / y) / ((u * z) / (y * z))) = w. K(a(x,y,y \ (z \ 1)),T(u,z / x)) != w | K((z / x) / ((z * y) / (x * y)),u) = w. T(a(x,y,z \ 1),z / (x * y)) = a(x,y,z \ 1). K(x,T(y / z,y / (z * u))) = K(x,(z * K(z * u,u \ 1)) \ ((z * u) * (y / (z * u)))). x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(u,z) * x). (x * K(K(y,z),x)) \ T(u * x,K(y,z)) = T(u,K(z,y) * (x * K(K(y,z),x))). x \ T(y * T(x,K(z,u)),K(u,z)) = T(y,K(z,u) * x). x \ T(y * T(x,K(z,u)),K(u,z * u)) = T(y,K(z * u,u) * x). x \ T(y * T(x,K(z,u)),K(z,1 / u)) = T(y,K(1 / u,z) * x). x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(z,u) * x). x != y \ T(z * T(y,K(u,w)),K(u,w)) | x = T(z,K(w,u) * y). T(x,K(y,z) * u) = T(x,K(z,y) * u). x * y != T(z,K(u,w) * v5) | x \ T(z,K(w,u) * v5) = y. x \ T(x,K(y,z) * u) = K(x,K(z,y) * u). T(x,y * K(z,u)) = T(x,K(u,z) * T(y,K(z,u))). T(x,K(y,z) * T(u,K(z,y))) = T(x,u * K(z,y)). T(x,T(y,z) * u) = T(x,K(z,y) * (y * u)). T(x,K(y,z) * (z * u)) = T(x,T(z,y) * u). K(x,K(y,z) * u) = K(x,K(z,y) * u). K(x,K(y,z) * u) != w | K(x,K(z,y) * u) = w. K(x,K(y,z) \ u) = K(x,K(y,z) * u). K(x,T(y,z) \ u) = K(x,K(y,z) * (y \ u)). K(x,K(y,z) * (y \ u)) = K(x,T(y,z) \ u). K(x,T(y / z,T(u,z))) = K(x,K(u,z \ y) * (y / z)). K(x,K(y,z \ u) * (u / z)) = K(x,T(u / z,T(y,z))). K(x,K(y,z) \ u) = K(x,K(z,y) \ u). K(x,L(K(y,z),u,w) \ v5) = K(x,K(L(z,u,w),y) \ v5). T(x,((y * z) / y) * u) = T(x,T(z,y) * u). K(x,K(y,z) * (y \ (z \ 1))) = K(x,z \ (y \ 1)). K(x,((y * z) / y) \ u) = K(x,T(z,y) \ u). T(x,y * z) = T(x,T(T(y,u),u) * z). T(x,T(T(y,z),z) * u) = T(x,y * u). T(x,y * T(T(z,u),u)) = T(T(x,K(y,z)),z * y). T(T(x,K(y,z)),z * y) = T(x,y * T(T(z,u),u)). K(x,(L(y,z,y) * z) \ u) = K(x,T(z * y,y) \ u). T(x,K(y,z) * (u * K(K(z,y),u))) = T(x,u * K(z,y)). K(x,y \ (T(z,y) \ 1)) = K(x,z \ (y \ 1)). a(x,y,K(z,u \ (w \ 1))) = a(w \ (T(u,w) \ 1),y,K(x,z)). a(x \ (T(y,x) \ 1),z,K(u,w)) = a(u,z,K(w,y \ (x \ 1))). T(x,y * z) = T(x,y * T(T(z,u),u)). T(x,y * T(T(z,u),u)) = T(x,y * z). T(x,y * T(z,u)) = T(x,y * ((u * z) / u)). T(x,y * ((z * u) / z)) = T(x,y * T(u,z)). K(x * ((y * z) / y),u) = u / T(u,x * T(z,y)). K(x * ((y * z) / y),u) = K(x * T(z,y),u). K((x \ y) * ((z * ((x \ y) \ (x \ u))) / z),w) = K(x \ (y * T(y \ u,z)),w). x != K(y,(L(z,u,z) * w) \ v5) | x = K(y,(z * w) \ v5). K(x,T(y * z,z) \ u) = K(x,(z * y) \ u). x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(z * u,u) * x). x != y \ T(z * T(y,K(u,w)),K(u,w)) | x = T(z,K(u,w) * y). T(x,K(y * z,z) * u) = T(x,K(y,z) * u). T(x,K(y * z,y) * u) = T(x,K(z,y) * u). x != T(y,K(z,u) * w) | x = T(y,K(u,z) * w). T(x,K(y,z) * u) = T(x,K(z,z * y) * u). T(x,K(y,y * z) * u) = T(x,K(z,y) * u). T(x,K(y,z) * u) = T(x,K(z \ y,z) * u). T(x,K(y \ z,y) * u) = T(x,K(z,y) * u). T(x,y * K(z,z * u)) = T(T(x,K(y,K(z,u))),K(u,z) * y). T(T(x,K(y,K(z,u))),K(u,z) * y) = T(x,y * K(z,z * u)). x * y != T(z,K(u \ w,u) * v5) | x \ T(z,K(w,u) * v5) = y. x \ T(x,K(y,z) * u) = K(x,K(z \ y,z) * u). K(x,K(y \ z,y) * u) = x \ T(x,K(z,y) * u). K(x,K(y \ z,y) * u) != w | K(x,K(z,y) * u) = w. T(x,y * K(z,u)) = T(x,y * K(u,u * z)). T(x,y * K(z,z * u)) = T(x,y * K(u,z)). x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(1 / u,z) * x). T(x,K(1 / y,z) * u) = T(x,K(y,z) * u). T(x,K(y,z) * u) = T(x,K(y \ 1,z) * u). T(x,K(y \ 1,z) * u) = T(x,K(y,z) * u). x * y != T(z,K(u \ 1,w) * v5) | x \ T(z,K(u,w) * v5) = y. x \ T(x,K(y,z) * u) = K(x,K(y \ 1,z) * u). K(x,K(y \ 1,z) * u) = x \ T(x,K(y,z) * u). T(x,y * K(z \ 1,u)) = T(x,K(z,u) * T(y,K(u,z \ 1))). T(x,K(y,z) * T(u,K(z,y \ 1))) = T(x,u * K(y \ 1,z)). K(x,K(y \ 1,z) * u) = K(x,K(y,z) * u). K(x,K(y \ 1,z) * u) != w | K(x,K(y,z) * u) = w. K(x,K(y,z \ 1) * u) = K(x,K(z,y) * u). K(x,y * T(y \ (z \ y),u)) = K(x,K(z,u) * (z \ y)). K(x,K(y,z) * (y \ u)) = K(x,u * T(u \ (y \ u),z)). L(K(x,K(y,z) * (u \ w)),u \ w,u) = K(x,(K(z,y \ K(y,u)) * u) \ w). K(x,K(y,z \ u) * w) = K(x,K(u \ z,y) * w). K(x,K(y \ z,u) * w) = K(x,K(u,z \ y) * w). K(x,y * K(z,u \ 1)) = K(x,K(u,z) * T(y,K(z,u))). K(x,K(y,z) * T(u,K(z,y))) = K(x,u * K(z,y \ 1)). L(K(x,K(y,z) * (u \ w)),u \ w,u) = K(x,(K(y \ K(y,u),z) * u) \ w). K(x,K(y,z) * u) = K(x,K(z,y \ z) * u). K(x,K(y,z \ y) * u) = K(x,K(z,y) * u). x != K(y,K(z,u) * (z \ w)) | x = K(y,T(z,u) \ w). K(x,K(y,z) * (z \ u)) = K(x,T(z,y \ z) \ u). K(x,T(y,z \ y) \ u) = K(x,K(z,y) * (y \ u)). K(x,T(y / z,T(u \ (z \ y),z))) = K(x,K(u,z \ y) * (y / z)). K(x,T(y,z \ y) \ u) = K(x,T(y,z) \ u). K(x,K(y * K(z,y),u) * z) = K(x,(z * y) * T((z * y) \ ((y * K(z,y)) \ (z * y)),u)). K(x,(y * z) * T((y * z) \ ((z * K(y,z)) \ (y * z)),u)) = K(x,K(z * K(y,z),u) * y). K(x,y * K(z,u)) = K(x,y * K(u,z \ 1)). K(x,y * K(z,u \ 1)) = K(x,y * K(u,z)). 1 / K(x,y * K(z,u)) = K(y * K(u,z \ 1),x). K(x * K(y,z \ 1),u) = 1 / K(u,x * K(z,y)). K(x * K(y,z \ 1),u) = K(x * K(z,y),u). x != K(y * K(z,(y \ u) \ 1),T(w,u)) | x = K(((z * (u \ y)) / z) * u,w). K(x * K(x \ y,z),T(u,y)) = K(((z * (y \ x)) / z) * y,u). K(((x * (y \ z)) / x) * y,u) = K(z * K(z \ y,x),T(u,y)). T(x,K(y,z) * T(u,K(y,z))) = T(x,u * K(y \ 1,z)). T(x,y * K(z,u)) = T(x,y * K(z \ 1,u)). T(x,y * K(z \ 1,u)) = T(x,y * K(z,u)). x != K(y,K(z,u \ w) * (w / u)) | x = K(y,T(w / u,T(z,u))). K(x,T(y / z,T(u \ (z \ y),z))) = K(x,T(y / z,T(u,z))). K(x,T(y / z,y / (z * u))) = K(x,T(y / z,T(u,z))). x != K(y,T(z / u,z / (u * w))) | x = K(y,(u * K(u * w,w \ 1)) \ ((u * w) * (z / (u * w)))). K(x,T(y / z,T(u,z))) = K(x,(z * K(z * u,u \ 1)) \ ((z * u) * (y / (z * u)))). K(x,(y * K(y * z,z \ 1)) \ ((y * z) * (u / (y * z)))) = K(x,T(u / y,T(z,y))). K(x,T(y / z,y / (((u \ 1) \ 1) \ z))) = K(x,T(y / z,T(T(z \ (u \ z),T(u,w)),z))). K(x,T(y / z,T(T(z \ (u \ z),T(u,w)),z))) = K(x,T(y / z,y / (((u \ 1) \ 1) \ z))). K(x,(y * K(z,u)) \ w) = K(x,(K(z,u \ K(u,y)) * y) \ w). K(x,(K(y,z \ K(z,u)) * u) \ w) = K(x,(u * K(y,z)) \ w). K(x,(y * K(z,u \ 1)) \ w) = K(x,(y * K(z,u)) \ w). K(x,(y * K(z,u)) \ w) = K(x,(K(u \ K(u,y),z) * y) \ w). K(x,(K(y \ K(y,z),u) * z) \ w) = K(x,(z * K(u,y)) \ w). K(x,(y * K(z \ 1,u)) \ w) = K(x,(y * K(u,z)) \ w). K(x,(y * K(z \ 1,u)) \ K(u,K(y * K(u,z),z))) = K(x,(L(K(u,z),y,K(u,z)) * y) \ 1). T(x,K(y,z)) \ T(u * x,K(y,z)) = T(u,K(z,y) * (x * K(K(y,z),x))). x != T(y,K(z,u) * (w * K(K(u,z),w))) | x = T(y,w * K(u,z)). T(x,K(y,z)) \ T(u * x,K(y,z)) = T(u,x * K(y,z)). K(x \ (y * ((z * (y \ u)) / z)),w) = K(x \ (y * T(y \ u,z)),w). K(x \ K(y,z \ 1),u) = K(x \ (z * T(z \ 1,y)),u). K(x \ (y * T(y \ 1,z)),u) = K(x \ K(z,y \ 1),u). K(x \ K(y \ 1,z),u) = K(x \ K(z,y \ 1),u). (x \ K(y \ K(z,u \ 1),w)) \ (x \ 1) = K(w,y \ K(u \ 1,z)). K(x,y \ K(z,u \ 1)) = K(x,y \ K(u \ 1,z)). K(x,y \ K(z \ 1,u)) = K(x,y \ K(u,z \ 1)). x != K(y,(z * K(u,w \ 1)) \ v5) | x = K(y,(z * K(u,w)) \ v5). K(x,T(y / z,T(u,z))) = K(x,(z * K(z * u,u)) \ ((z * u) * (y / (z * u)))). K(x,(y * K(y * z,z)) \ ((y * z) * (u / (y * z)))) = K(x,T(u / y,T(z,y))). x != K(y,(z * K(u * w,w)) \ v5) | x = K(y,(z * K(u,w)) \ v5). K(x,T(y / z,T(u,z))) = K(x,(z * K(z,u)) \ ((z * u) * (y / (z * u)))). K(x,(y * K(y,z)) \ ((y * z) * (u / (y * z)))) = K(x,T(u / y,T(z,y))). K(x,T(y,z) \ ((y * z) * (u / (y * z)))) = K(x,T(u / y,T(z,y))). K(x,T(y,z) \ ((y * T(z,y)) * (u / (y * T(z,y))))) = K(x,T(u / y,T(T(z,y),y))). K(x,T(y,z) \ ((z * y) * (u / (y * T(z,y))))) = K(x,T(u / y,T(T(z,y),y))). K(x,T(y,z) \ ((z * y) * (u / (z * y)))) = K(x,T(u / y,T(T(z,y),y))). K(x,T(y,z) \ ((z * y) * (u / (z * y)))) = K(x,T(u / y,z)). K(x,(y * z) * T((y * z) \ ((z * K(y,z)) \ (y * z)),u)) = K(x,K(z,T(u,y)) * y). K(x,(y * z) * T((y * z) \ ((z * K(y,z)) \ (y * z)),u)) = K(x,y * K(z,u)). K(x,(y * z) * T((y * z) \ y,u)) = K(x,y * K(z,u)). K(x,y * K(z \ 1,u)) = K(x,y * K(z,u)). 1 / K(x,y * K(z,u)) = K(y * K(z \ 1,u),x). K(x * K(y \ 1,z),u) = 1 / K(u,x * K(y,z)). K(x * K(y \ 1,z),u) = K(x * K(y,z),u). x != K(y * K((y \ z) \ 1,u),T(w,z)) | x = K(z * T(y / z,u),w). K(x * K(x \ y,z),T(u,y)) = K(y * T(x / y,z),u). x != K(y * K(y \ z,u),T(w,z)) | x = K(((u * (z \ y)) / u) * z,w). K(x * T(y / x,z),u) = K(((z * (x \ y)) / z) * x,u). K(((x * (y \ z)) / x) * y,u) = K(y * T(z / y,x),u). K(((x * y) / x) / z,u) = K((z \ 1) * T((z \ y) / (z \ 1),x),u). x != K((y \ 1) * T(z / (y \ 1),u),w) | x = K(y \ T(z * y,u),w). K(((x * y) / x) / z,u) = K(z \ T((z \ y) * z,x),u). K(x \ T((x \ y) * x,z),u) = K(((z * y) / z) / x,u). K(T(x \ T(y,z),x),u) = K(((z * y) / z) / x,u). K(T(x,y) / z,u) = K(((y * x) / y) / z,u). K(((x * y) / x) / z,u) = K(T(y,x) / z,u). x != K(((y * z) / y) / T(u,T(z,y)),w) | x = K(T(z * K(y,z),u) / u,w). K(T(x,y) / T(z,T(x,y)),u) = K(T(x * K(y,x),z) / z,u). K(T(x * K(y,x),z) / z,u) = K(T(x,y) / T(z,T(x,y)),u). K(x \ (y * K(z,y)),u) = K(T(y,z) / T(x,T(y,z)),u). K(T(x,y) / T(z,T(x,y)),u) = K(z \ (x * K(y,x)),u). K(x \ T(y,z),u) = K(x \ (y * K(z,y)),u). K(x \ (y * K(z,y)),u) = K(x \ T(y,z),u). K(x \ y,z) = K(x \ T(T(y,u),u),z). K(x \ T(T(y,z),z),u) = K(x \ y,u). 1 / K(x \ y,z) = K(z,x \ T(T(y,u),u)). K(x,y \ T(T(z,u),u)) = 1 / K(y \ z,x). K(x,y \ T(T(z,u),u)) = K(x,y \ z). K(x,y \ T(z * (u / T(z,u)),z)) = K(x,y \ (z * (u / z))). K(x,y \ T(z,u)) = K(x,y \ (z * K(u,z))). K(x,y \ (z * K(u,z))) = K(x,y \ T(z,u)). x != K(y,z \ (u * K(w,u))) | x = K(y,(u \ z) \ K(w,u)). K(x,y \ T(z,u)) = K(x,(z \ y) \ K(u,z)). K(x,(y \ z) \ K(u,y)) = K(x,z \ T(y,u)). K(x,(y \ z) \ K(u \ 1,y)) = K(x,z \ T(y,1 / u)). x != K(y,z \ T(u * w,u)) | x = K(y,z \ (w * u)). K(x,y \ (z * (u / z))) = K(x,y \ ((u / T(z,u)) * z)). K(x,y \ ((z / T(u,z)) * u)) = K(x,y \ (u * (z / u))). K(x,y \ T(z,u)) = K(x,y \ (u * (z / u))). K(x,y \ (z * (u / z))) = K(x,y \ T(u,z)). x != K(y,T(z,u) \ ((u * z) * (w / (u * z)))) | x = K(y,T(w / z,u)). K(x,T(y,z) \ T(u,z * y)) = K(x,T(u / y,z)). K(x,T(y * z,(y * z) \ z) \ T(u,z * K(y \ 1,z * y))) = K(x,T(u / (y * z),(y * z) \ z)). K(x,T(y / z,T(T(z \ (u \ z),T(u,w)),z))) = K(x,T(y / z,y / (u \ z))). K(x,T(y / z,T((u \ z) / z,T(u,w)))) = K(x,T(y / z,y / (u \ z))). K(x,T(y / z,u \ 1)) = K(x,T(y / z,y / (u \ z))). K(x,T(y / z,y / (u \ z))) = K(x,T(y / z,u \ 1)). K(x,T(y / z,y / (u \ z))) = K(x,T(y / z,u)). x != K(y,T(z / u,z / (w \ u))) | x = K(y,T(u,w) \ ((w \ u) * (z / (w \ u)))). K(x,T(y / z,u)) = K(x,T(z,u) \ ((u \ z) * (y / (u \ z)))). K(x,T(y,z) \ ((z \ y) * (u / (z \ y)))) = K(x,T(u / y,z)). K(x,T(y,T(y,z) / z) \ (T(z,y) * (u / ((T(y,z) / z) \ y)))) = K(x,T(u / y,T(y,z) / z)). K(x,(y * K(z \ 1,u)) \ K(u,K(y,z))) = K(x,(L(K(u,z),y,K(u,z)) * y) \ 1). K(x,(y * K(z \ 1,u)) \ K(y,K(z,u))) = K(x,(L(K(u,z),y,K(u,z)) * y) \ 1). K(x,(K(y \ 1,z) * u) \ 1) = K(x,(L(K(z,y),u,K(z,y)) * u) \ 1). K(x,(L(K(y,z),u,K(y,z)) * u) \ 1) = K(x,(K(z \ 1,y) * u) \ 1). x != K(y,(K(z,u) * w) \ 1) | x = K(y,w \ K(u,z)). K(x,(L(K(y,z),u,K(y,z)) * u) \ 1) = K(x,u \ K(y,z \ 1)). K(x,y \ K(z,u \ 1)) = K(x,(K(z,u) * y) \ 1). K(x,(K(y,z) * u) \ 1) = K(x,u \ K(y,z \ 1)). K(x,y \ K(z,u)) = K(x,y \ K(u,z \ 1)). K(x,y \ K(z,u \ 1)) = K(x,y \ K(u,z)). x != K(y,z \ K(u,w \ 1)) | x = K(y,z \ K(w \ 1,u)). K(x,y \ K(z,u)) = K(x,y \ K(z \ 1,u)). K(x,y \ K(z \ 1,u)) = K(x,y \ K(z,u)). x != K(y,(z \ u) \ K(w \ 1,z)) | x = K(y,u \ T(z,1 / w)). K(x,(y \ z) \ K(u,y)) = K(x,z \ T(y,1 / u)). x != K(y,(z \ u) \ K(w,z)) | x = K(y,u \ T(z,w)). K(x,y \ T(z,1 / u)) = K(x,y \ T(z,u)). K(x,y \ T(z,u)) = K(x,y \ T(z,u \ 1)). K(x,y \ T(z,u \ 1)) = K(x,y \ T(z,u)). K(x,y \ T(z,u \ (w \ u))) = K(x,y \ T(z,T(w,u))). K(x,T(y,z \ y) \ (T(z,y) * (u / ((T(y,z) / z) \ y)))) = K(x,T(u / y,T(y,z) / z)). K(x,T(y,z \ y) \ (T(z,y) * (u / T(z,y)))) = K(x,T(u / y,T(y,z) / z)). x != K(y,T(z,u \ z) \ w) | x = K(y,T(z,u) \ w). K(x,T(y / z,T(z,u) / u)) = K(x,T(z,u) \ (T(u,z) * (y / T(u,z)))). K(x,T(y,z) \ (T(z,y) * (u / T(z,y)))) = K(x,T(u / y,T(y,z) / z)). K(x,T(y,z) \ (T(z,y) * (u / T(z,y)))) = K(x,T(u / y,z \ y)). x != K(y,z \ (u * (w / u))) | x = K(y,z \ T(w,u)). K(x,T(y / z,u \ z)) = K(x,T(z,u) \ T(y,T(u,z))). K(x,T(y,z) \ T(u,T(z,y))) = K(x,T(u / y,z \ y)). x != K(y,T(z,z \ u) \ w) | x = K(y,((z \ u) \ u) \ w). K(x,T(y / (z * u),(z * u) \ u)) = K(x,(((z * u) \ u) \ u) \ T(y,u * K(z \ 1,u * z))). K(x,(((y * z) \ z) \ z) \ T(u,z * K(y \ 1,z * y))) = K(x,T(u / (y * z),(y * z) \ z)). K(x,(((y * z) \ z) \ z) \ T(u,z * K(y,z * y))) = K(x,T(u / (y * z),(y * z) \ z)). K(x,(((y * z) \ z) \ z) \ T(u,z * K(y,y * z))) = K(x,T(u / (y * z),(y * z) \ z)). K(x,(((y * z) \ z) \ z) \ T(u,z * K(z,y))) = K(x,T(u / (y * z),(y * z) \ z)). K(x,(((y * z) \ z) \ z) \ T(u,T(z,y))) = K(x,T(u / (y * z),(y * z) \ z)). K(x,T(y * z,z) \ T(u,T(z,y))) = K(x,T(u / (y * z),(y * z) \ z)). x != K(y,T(z * u,u) \ w) | x = K(y,(u * z) \ w). K(x,T(y / (z * u),(z * u) \ u)) = K(x,(u * z) \ T(y,T(u,z))). K(x,T(y / (z * u),u \ (z \ u))) = K(x,(u * z) \ T(y,T(u,z))). K(x,T(y / (z * u),T(z,u))) = K(x,(u * z) \ T(y,T(u,z))). K(x,(y * z) \ T(u,T(y,z))) = K(x,T(u / (z * y),T(z,y))). K(x,(y * K(z \ 1,y * z)) \ T(u,T((y * z) \ y,y * z))) = K(x,T(u / ((y * z) * ((y * z) \ y)),T(y * z,(y * z) \ y))). K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,(z * K(u \ 1,z * u)) \ T(y,T((z * u) \ z,z * u))). K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,(z * K(u \ 1,z * u)) \ T(y,z / (z * u))). K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,(z * K(u \ 1,z * u)) \ T(y,z \ (u \ z))). x != K(y,z \ T(u,w \ (v5 \ w))) | x = K(y,z \ T(u,T(v5,w))). K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,(z * K(u \ 1,z * u)) \ T(y,T(u,z))). x != K(y,(z * K(u \ 1,w)) \ v5) | x = K(y,(z * K(w,u)) \ v5). K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,(z * K(z * u,u)) \ T(y,T(u,z))). K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,(z * K(z,u)) \ T(y,T(u,z))). K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,T(z,u) \ T(y,T(u,z))). x != K(y,T(z,u) \ T(w,T(u,z))) | x = K(y,T(w / z,u \ z)). K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,T(y / z,u \ z)). K(x,T(y / z,T(z * u,(z * u) \ z))) = K(x,T(y / z,u \ z)). K(x,T(y / z,T(z * u,z))) = K(x,T(y / z,u \ z)). K(x,T(y / z,u * z)) = K(x,T(y / z,u \ z)). K(x,T(y / z,u \ z)) = K(x,T(y / z,u * z)). K(x,T(y,z \ u)) = K(x,T((y * u) / u,z * u)). K(x,T((y * z) / z,u * z)) = K(x,T(y,u \ z)). K(x,T(y / z,u)) = K(x,T(y / z,(z / u) * z)). K(x,T(y / z,(z / u) * z)) = K(x,T(y / z,u)). K(x,T(y,z * u)) = K(x,T(y,z \ u)). K(x,T(y,z \ u)) = K(x,T(y,z * u)). K(x,T(y,T(z,u))) = K(x,T(y,u * (z \ u))). K(x,T(y,z * (u \ z))) = K(x,T(y,T(u,z))). K(x,T(y,z \ u)) = K(x,T(y,u * z)). K(x,T(y,K(z,u) \ w)) = K(x,T(w,K(z,u)) \ T(y * w,K(z,u))). K(x,T(y,K(z,u)) \ T(w * y,K(z,u))) = K(x,T(w,K(z,u) \ y)). K(x,T(y / z,z * (u \ z))) = K(x,T(y / z,u)). x != K(y,T(z,u * (w \ u))) | x = K(y,T(z,T(w,u))). K(x,T(y / z,u)) = K(x,T(y / z,T(u,z))). K(x,T(y / z,T(u,z))) = K(x,T(y / z,u)). K(x,T(y / z,u)) * K(z \ y,T(x,u)) = K(x,K(y,z)). K(x,K(y,T(z,u))) = K(z,K(x,y)). K(x,K(y,T(z,u))) = K(x,K(z,y)). K(x,K(y,T(z,u))) = K(x,K(y,z)). K(x,K(y,T(z,u))) != w | K(x,K(y,z)) = w. K(x,K(y,z * u)) = K(u * z,K(x,y)). K(x * y,K(z,u)) = K(z,K(u,y * x)). K(x,K(y,z \ u)) = K(x,K(y,u / z)). K(x,K(y,z / u)) = K(x,K(y,u \ z)). K(x,K(y \ z,u)) = K(x,K(u,z / y)). K(x,K(y,z / u)) != w | K(x,K(y,u \ z)) = w. K(x,K(y,(z \ u) * z)) = K(x,K(u,y)). T(K(x,K(y,z)),u) = K(x,K(y,z)). K(K(x,y),T(z,u)) = K(x,K(y,z)). x != K(y,K(z,T(1 / L(1 / u,w,v5),v6))) | x = K(y,T(L(K(u,z),w,v5),v6)). K(x,K(y,1 / L(1 / z,u,w))) = K(x,T(L(K(z,y),u,w),v5)). K(x,T(L(K(y,z),u,w),v5)) = K(x,K(z,1 / L(1 / y,u,w))). x * K(y,K(z,u)) = K(y,K(z,u)) * x. K(x,K(y,z)) * u = u * K(x,K(y,z)). K(x,K(y,L(z / u,u,w))) = K(x,K(y,(w * u) \ (w * z))). K(x,K(y,z * u)) = K(x,K(y,u * z)). T(K(x,K(y,z)),u) * w != K(x,K(y,z)) | 1 = w. 1 = K(x,K(y,K(z,u))). K(x,K(y,K(z,u))) = 1. T(x,K(y,K(z,u))) = x. L(x,y * z,K(z,y)) = ((x * (K(u,K(w,v5)) * v6)) * 1) / (v6 * K(u,K(w,v5))). T(x,K(y,z) * u) = T(x,u * K(y,z)). K(x,T(y,K(z,u))) = K(x,y). T(x,T(y,K(z,u))) = T(x,y). T(x,K(y,z) * u) != w | T(x,u * K(y,z)) = w. T(x / (y * K(z,K(u,w))),y) = (K(z,K(u,w)) * y) \ x. K(((x \ y) * x) / (K(z,u) * x),w) = K((x * K(z,u)) \ y,w). K(x,K(y,z) * u) = K(x,u * K(y,z)). K(x,K(y,z) / u) = K(x,u \ K(y,z)). x != K((y * z) \ u,T(w,z)) | x = K(L((y \ u) / z,z,y),w). K((x * K(y,z)) \ u,w) = K(L((x \ u) / K(y,z),K(y,z),x),w). K(L((x \ y) / K(z,u),K(z,u),x),w) = K((x * K(z,u)) \ y,w). K(x,K(y,z) \ u) = K(x,u * K(z,y)). K(x,T(y,L(K(z,u),w,v5))) = K(x,y). K(x,y) * K(z,u) = K(z,u) * K(x,y). K(x,y) * K(z,u) = K(u,z) \ K(x,y). K(x,y) \ K(z,u) = K(z,u) * K(y,x). K(x,K(y,z) / u) != w | K(x,u \ K(y,z)) = w. K(x,T(y,T(z,u))) = K(x,T(y,z)). K(x,T(y,K(z,u))) != w | K(x,y) = w. K(x,y) * (K(z,u) * x) = K(z,u) * T(x,y). K(x,T(y,z) * T(u,y)) = K(x,u * T(y,z)). K(x,T(y,z \ u)) = K(x,T(y,u / z)). K(x,T(y,z / u)) = K(x,T(y,u \ z)). K(x,y * K(z,u)) != w | K(x,K(z,u) * y) = w. T(K(x,y) * z,T(u,z)) = T(K(x,y) * z,u). T(x,(T(y,z) \ u) * K(y,z)) = T(x,y \ u). T(x,y) * K(z,u) = x * (K(z,u) * K(x,y)). x * (K(y,z) * K(x,u)) = T(x,u) * K(y,z). T(x,T(y,z * u)) = T(x,T(y,u * z)). K((x * K(y,z)) \ u,T(w,x)) = K(((K(y,z) \ u) * K(y,z)) / (K(y,z) * x),w). K(x,K(y,z)) * (u * K(x,y)) = u * T(K(x,y),z). K(x,T(y,T(z,u))) = T(K(x,y),z). K(x,T(y,T(z,u))) != w | K(x,T(y,z)) = w. K(x,T(y,L(K(z,u),w,v5))) != v6 | K(x,y) = v6. K(x,y * K(z,u)) != w | K(x,K(u,z) \ y) = w. K(x,T(y,z \ u)) != w | K(x,T(y,u / z)) = w. K(x,T(y,z * u)) != w | K(x,T(y,u * z)) = w. K(x,K(y,z * u)) != w | K(y,K(x,u * z)) = w. K(x,K(y,z * u)) != w | K(x,K(y,u * z)) = w. K(x,K(y,z / u)) = K(x,K(y,z \ u)). x != K(y,K(z / u,(w * z) \ K(w,1 / w))) | x = K(y,K(z \ (1 / w),L(z / u,u,w))). K(x,K(y / z,K(u,1 / u) / (u * y))) = K(x,K(y \ (1 / u),L(y / z,z,u))). K(x,K(y \ (1 / z),L(y / u,u,z))) = K(x,K(y / u,K(z,1 / z) / (z * y))). x != K(y,K(y / z,(u * w) \ v5)) | x = K(y,K(w \ (u \ v5),L(z,w,u))). K(x,K(x / y,z / (u * w))) = K(x,K(w \ (u \ z),L(y,w,u))). K(x,K(y \ (z \ u),L(w,y,z))) = K(x,K(x / w,u / (z * y))). K(x,K(y,z / u)) = K(x,K(y,(1 / u) * z)). K(x,K(y,(1 / z) * u)) = K(x,K(y,u / z)). K(x,K(y \ z,u)) != w | K(x,K(z / y,u)) = w. x != K(y,K(z / u,w * u)) | x = K(y,K(z / u,w * z)). K(x,K(y,z / u)) = K(x,K(z / u,(u \ y) * z)). K(x,K(y / z,(z \ u) * y)) = K(x,K(u,y / z)). T(x,K(y,z)) \ u = (x \ u) * K(x,K(y,z)). (x \ y) * K(x,K(z,u)) = T(x,K(z,u)) \ y. K(x,K(y,z)) \ u = u * K(x,K(y,z)). x != (y * z) * K(u,K(w,L(v5,z,y))) | x = y * (z * K(u,K(w,v5))). K(x,K(y,L(z,u,w))) * (w * u) = w * (u * K(x,K(y,z))). x != (y / z) * K(z,K(u,w)) | x = y / T(z,K(u,w)). K(x,K(y,z)) * (u / x) = u / T(x,K(y,z)). (x * (K(y,K(z,u)) * w)) \ ((x * K(y,K(z,u))) * (L(w,K(y,K(z,u)),x) * v5)) = L(v5,L(w,K(y,K(z,u)),x),K(y,K(z,u)) * x). K(x,K(y,(1 / z) * u)) != w | K(x,K(y,u / z)) = w. T(x,K(y,z) * (u \ y)) = T(x,u \ T(y,z)). K(x,K(y,z) * u) = K(x,u * K(y \ 1,z)). K(x,y * K(z \ 1,u)) = K(x,K(z,u) * y). K(x,K(y,z) * (u \ 1)) = K(x,u \ K(y,z)). x != K(y,K(z,u) * w) | x = K(y,K(z,u) \ w). K(x,y * K(z,u)) = K(x,K(z,u) \ y). K(x,K(y,z) \ u) = K(x,u * K(y,z)). K(x,K(y,L(z,u,w)) * (w * u)) = K(x,w * (u * K(y,z))). x != K(y,(z * u) \ K(z,1 / z)) | x = K(y,T(1 / (u * z),u)). K(x,K(y,1 / y) / (y * z)) = K(x,T(1 / (z * y),z)). K(x,T(1 / (y * z),y)) = K(x,K(z,1 / z) / (z * y)). K(x,K(y,z) \ (u / y)) = K(x,u / T(y,z)). K(x,K(y,z) \ (u / z)) = K(x,u / ((y * z) / y)). x != K(y,z) * u | x = K(z,y) \ u. K(x,y) \ K(z,u) = K(u,z) \ K(y,x). K((x / y) / ((x * z) / (y * z)),u) = K(a(y,z,z \ (x \ 1)),T(u,y \ x)). K(a(x,y,y \ (z \ 1)),T(u,x \ z)) = K((z / x) / ((z * y) / (x * y)),u). x != K(((y \ z) * y) / u,T(w,y \ z)) | x = z \ (y * (K((y \ z) / (u / y),w) * (y \ z))). K(((x \ y) * x) / z,T(u,y / x)) = y \ (x * (K((x \ y) / (z / x),u) * (x \ y))). x \ (y * (K((y \ x) / (z / y),u) * (y \ x))) = K(((y \ x) * y) / z,T(u,x / y)). T(x,y) \ T(T(x,z * u),T(y,u * z)) = K(x,z * u). K(x,K(y,(z * u) / (z * (u * w)))) = K(x,K(y,L(w,u,z))). K(x,K(y,(z * (1 / u)) / w)) = K(x,K(y,(u / z) * w)). K(x,K(y,z) \ (u / z)) = K(x,u / T(z,y)). L(K(x,y),z,u) \ K(w,v5) = K(v5,w) \ K(L(y,z,u),x). K(x,K(T(y,z),u)) != w | K(x,K(y,u)) = w. K(x,K(y * z,u)) != w | K(x,K(z * y,u)) = w. K(x,T(y,z * (u \ z))) != w | K(x,T(y,u)) = w. L(x,K(y,z) * u,K(u,w)) = (K(y,z) * T(u,w)) \ (K(u,w) * ((K(y,z) * u) * x)). (K(x,y) * T(z,u)) \ (K(z,u) * ((K(x,y) * z) * w)) = L(w,K(x,y) * z,K(z,u)). K(x,L(y,K(z,u) * x,w)) * ((K(z,u) * x) * w) = (K(z,u) * T(x,y)) * w. T(x,(R(T(y,z),u,w) \ v5) * K(R(y,u,w),z)) = T(x,R(y,u,w) \ v5). x * y != T(z,u) * K(T(z,u) \ 1,T(z,u)) | x \ T(1 / (1 / z),u) = y. x \ T(1 / (1 / x),y) = K(T(x,y) \ 1,T(x,y)) * K(x,y). K(T(x,y) \ 1,T(x,y)) * K(x,y) = x \ T(1 / (1 / x),y). K(x,y * (z * K(u \ 1,w))) = K(x,K(u,L(w,z,y)) * (y * z)). K(x,K(y,L(z,u,w)) * (w * u)) = K(x,w * (u * K(y \ 1,z))). K(x,K(y,z) * T(u * w,w \ (u \ 1))) = K(x,(w \ (u \ 1)) \ K(y,z)). x != K(y * (z \ K(y,u)),K(y,u) \ (z / y)) | x = K(z \ y,y \ z). K(x * (y \ K(x,z)),y / T(x,z)) = K(y \ x,x \ y). K(x,K(y,z) \ u) != w | K(x,K(z,y) \ u) = w. K(x,T(y,z / (1 / u))) != w | K(x,T(y,u * z)) = w. K(x,K(y,(z * u) * w)) != v5 | K(x,K(y,(u * w) * R(z,u,w))) = v5. x != y * T(K(z,u),w) | x = y * K(z,T(u,w)). K(x,K(y,z)) * (u * K(x,y)) = u * K(x,T(y,z)). x != K(y,K(z,u) \ (w / u)) | x = K(y,w / T(u,z)). K(x,y / ((z * u) / z)) = K(x,y / T(u,z)). K(x,K(y,z)) * (u * K(x,y)) != u * w | K(x,T(y,z)) = w. x != y \ (z * y) | x = T(z,y). T((x * (K(y,K(z,u)) * w)) / (w * K(y,K(z,u))),w) = T(x,K(y,K(z,u)) * w). x != K(y,K(z,1 / z) / u) | x = K(y,1 / u). K(x,T(1 / (y * z),y)) = K(x,1 / (z * y)). K(x,y / (y * (y * z))) = K(x,1 / (z * y)). K(x,K(y,(z * u) / w)) = K(x,K(y,((u \ 1) / z) * w)). K(x,K(y,((z \ 1) / u) * w)) = K(x,K(y,(u * z) / w)). x != L(K(y,z),u,w) \ K(y,z) | x = a(K(z,y),u,w). K(x,y) \ K(L(x,z,u),y) = a(K(x,y),z,u). x != K(y,K(z,u \ w)) | x = K(y,K(z,w / u)). K(x,K(y,L(z / u,u,w))) = K(x,K(y,(w * z) / (w * u))). x != K(y,K(z,L(u,w,v5))) * (v5 * w) | x = (K(y,1 / K(z,u)) * w) * T(v5,w). x * (y * K(z,K(u,w))) = (K(z,1 / K(u,w)) * y) * T(x,y). (K(x,1 / K(y,z)) * u) * T(w,u) = w * (u * K(x,K(y,z))). x != K(y,K(z,(u * (1 / w)) / v5)) | x = K(y,K(z,(w / u) * v5)). K(x,K(y,L(z,1 / u,w))) = K(x,K(y,(u / w) * (w * ((1 / u) * z)))). K(x,K(y,(z / u) * (u * ((1 / z) * w)))) = K(x,K(y,L(w,1 / z,u))). K(x,K(y,L(z,u,w))) = K(x,K(y,(w * (z * u)) / (w * u))). K(x,K(y,(z * (u * w)) / (z * w))) = K(x,K(y,L(u,w,z))). K(x,K(y,T(L(z,u / z,w),u / z))) = K(x,K(y,(w * u) / (w * (u / z)))). K(x,T(L(K(y,z),u,w),v5)) = K(x,1 / L(K(y,z),u,w)). x != K(y,1 / L(K(z,u),w,v5)) | x = K(y,L(K(z,u),w,v5)). K(x,T(L(K(y,z),u,w),v5)) = K(x,L(K(y,z),u,w)). K(x,T(L(K(y,z),u,w),v5)) != v6 | K(x,K(z,L(y,u,w))) = v6. K((x * y) / (K(z,u) * y),w) = K((y * K(z,u)) \ (y * x),w). x != y \ T(1 / (1 / y),z) | x = K(y \ (z \ 1),y). K(T(x,y) \ 1,T(x,y)) * K(x,y) = K(x \ (y \ 1),x). L(x,y,K(z \ (u \ 1),z)) = L(x,y,K(z,u)). L(x,y,K(z \ ((u \ 1) * w),z)) = L(x,y,K(z,w \ u)). L(x,y,K((z \ 1) * (u \ w),u)) = L(x,y,K(u,w \ z)). L(x,y,K(z \ (u \ w),u)) = L(x,y,K(u,w \ z)). (K(x,K(y,z)) * u) * T(w,u) = w * (u * K(x,K(z,y))). (K(x,K(y,z)) * u) * T(w,u) = w * (u * K(x,K(y,z))). T(x,y) * z != x * (y * K(u,K(w,v5))) | T(K(u,K(w,v5)) * y,T(x,y)) = z. T(K(x,K(y,z)) * u,T(w,u)) = T(u,w) * K(x,K(y,z)). x != T(K(y,z) * u,T(w,u)) | x = T(K(y,z) * u,w). T(x,y) * K(z,K(u,w)) = T(K(z,K(u,w)) * x,y). T(K(x,K(y,z)) * u,w) = T(u,w) * K(x,K(y,z)). x != y * K(z,K(u,w)) | x = K(z,K(u,w)) * y. T(K(x,K(y,z)) * u,w) = K(x,K(y,z)) * T(u,w). T(x * K(y,K(z,u)),w) = T(x,w) * K(y,K(z,u)). x != y * T(z,u) | x = (y * z) * K(z,u). T(K(x,K(y,z)) * u,w) = (K(x,K(y,z)) * u) * K(u,w). (K(x,K(y,z)) * u) * K(u,w) = T(K(x,K(y,z)) * u,w). (x * (T(y,z) * K(u,K(w,v5)))) \ (x * (y * K(u,K(w,v5)))) = K(z,y * K(u,K(w,v5))). K(x,y) = K(K(z,K(u,w)) * x,y). K(K(x,K(y,z)) * u,w) = K(u,w). K(T(x,K(y,z)) / u,w) = K(x / u,w). K((x * K(y,z)) \ u,w) = K((K(y,z) * x) \ u,w). K((K(x,y) * z) \ u,w) = K((z * K(x,y)) \ u,w). K(x / T(y,K(z,u)),w) = K(x / y,w). x != K(((y \ z) * y) / (u * y),w) | x = K((y * u) \ z,T(w,u)). K(((x \ y) * x) / T(z * x,K(u,w)),v5) = K((x * z) \ y,T(v5,z)). K((x * y) \ z,T(u,y)) = K(((x \ z) * x) / T(y * x,K(w,v5)),u). K(L((x \ y) * K(z,u),K(u,z),x),w) = K((x * K(u,z)) \ y,w). x != K(y,K(y / z,u)) | x = K(y,K(z,u)). K(x,K(y \ (z \ u),L(w,y,z))) = K(x,K(w,u / (z * y))). K(x,K((y \ z) / u,L(w,u,y))) = K(x,K(w,z / (y * u))). K(x,K(T(y,z) / u,L(w,u,z))) = K(x,K(w,(y * z) / (z * u))). x != K(y,K(z,L(u,w,v5)) * (v5 * w)) | x = K(y,v5 * (w * K(z,u))). K(x,y * (z * K(u \ 1,w))) = K(x,y * (z * K(u,w))). x != K(y,z * (u * K(u \ 1,w))) | x = K(y,z * (((w * (u \ 1)) / w) \ 1)). K(x,y * (z * K(z,u))) = K(x,y * (((u * (z \ 1)) / u) \ 1)). K(x,y * (((z * (u \ 1)) / z) \ 1)) = K(x,y * (u * K(u,z))). K(x,y * (((z * (u \ 1)) / z) \ 1)) = K(x,y * T(u,z)). K(x,y / ((z * (u \ 1)) / z)) = K(x,y * T(u,z)). x != K(y,z / ((u * w) / u)) | x = K(y,z / T(w,u)). K(x,y * T(z,u)) = K(x,y / T(z \ 1,u)). K(x,y / T(z \ 1,u)) = K(x,y * T(z,u)). x != K(y,z / T(u \ 1,w)) | x = K(y,z * ((w \ u) * w)). K(x,y * T(z,u)) = K(x,y * ((u \ z) * u)). K(x,y * ((z \ u) * z)) = K(x,y * T(u,z)). K(x,y * (z * u)) = K(x,y * T(u * z,u)). K(x,y * T(z * u,z)) = K(x,y * (u * z)). x != K(y \ 1,z * T(y * u,y)) | x = K(y \ 1,z * ((y \ 1) \ u)). K(x \ 1,y * (z * x)) = K(x \ 1,y * ((x \ 1) \ z)). K(x \ 1,y * ((x \ 1) \ z)) = K(x \ 1,y * (z * x)). K(x \ 1,(y * z) * x) = K(x \ 1,y * (z * x)). K(x,T(y,K(z,u)) \ T(w * y,K(z,u))) = K(x,T(w,K(u,z) * y)). K((x * L(K(y,z),u,w)) \ v5,v6) = K(((x \ v5) * x) / T(L(K(y,z),u,w) * x,K(v7,v8)),v6). K(((x \ y) * x) / T(L(K(z,u),w,v5) * x,K(v6,v7)),v8) = K((x * L(K(z,u),w,v5)) \ y,v8). T(x,(R(T(y,z),u,w) \ v5) * K(y,L(z,u,w))) = T(x,R(y,u,w) \ v5). T(x,R(T(y,z),u,w) \ T(y,L(z,u,w))) = T(x,R(y,u,w) \ y). L(x,y * z,K(z,y)) = (x * (K(u,K(w,v5)) * v6)) / (v6 * K(u,K(w,v5))). (x * (K(y,K(z,u)) * w)) / (w * K(y,K(z,u))) = x. a(x,y,K(y \ (z \ 1),T(u,x \ z))) = K((z / x) / ((z * y) / (x * y)),u). K(L(x,K(y,z),u),w) * ((K(y,z) * x) * u) = (K(y,z) * T(x,w)) * u. K(x,T(L(K(y,z),u,w),u / z)) = K(x,K(y,(w * u) / (w * (u / z)))). K(x,K(y,(z * u) / (z * (u / w)))) != v5 | K(x,K(w,L(y,u,z))) = v5. K((x * K(y,z)) \ u,T(w,x)) = K((K(y,z) * (u / K(y,z))) / (K(y,z) * x),w). T(x,y) = T(x,K(z,K(u,w)) * y). T(x,K(y,K(z,u)) * w) = T(x,w). T(x,y * K(z,K(u,w))) = T(x,y). x * y != T(z,K(u,K(w,v5)) * v6) | x \ T(z,v6) = y. x \ T(x,y) = K(x,K(z,K(u,w)) * y). K(x,K(y,K(z,u)) * w) = x \ T(x,w). K(x,K(y,K(z,u)) * w) = K(x,w). K(x,y \ z) = K(x,T(y,K(u,w)) \ z). K(x,T(y,K(z,u)) \ w) = K(x,y \ w). K(x,y * T(z,K(u,w))) = K(x,y * z). K(x,y \ T(z,K(u,w))) = K(x,y \ z). K(x,T(y,K(z,u)) / w) = K(x,y / w). x != K(y,T(z,K(u,w)) \ T(v5 * z,K(u,w))) | x = K(y,T(v5,K(w,u) * z)). K(x,y \ T(z * y,K(u,w))) = K(x,T(z,K(w,u) * y)). K(x,(K(y,z) * u) \ w) != v5 | K(x,(u * K(y,z)) \ w) = v5. x != K(y,z * T(u / w,u)) | x = K(y,z * (w \ u)). K(x,y * (K(z,u) / w)) = K(x,y * (w \ K(z,u))). K(x,y \ (K(z,u) \ w)) = K(x,y \ (w * K(u,z))). K(x,T(y * z,K(u,w)) / y) = K(x,T(z,K(w,u) * y)). x != K(y,T(z,K(u,w)) / v5) | x = K(y,z / v5). K(x,T(y,K(z,u) * w)) = K(x,(w * y) / w). x != K(y,(z * u) / z) | x = K(y,T(u,z)). K(x,T(y,K(z,u) * w)) = K(x,T(y,w)). K(x,T(y,z)) = K(x,T(y,z \ K(u,w))). K(x,T(y,z \ K(u,w))) = K(x,T(y,z)). K(x,T(y,z * K(u,w))) = K(x,T(y,z)). (K(x,y) * z) * K(u,T(w,z)) != v5 | K(u,w) * (K(x,y) * z) = v5. K(x,T(y,K(z,u) / w)) = K(x,T(y,w)). K(x,y * (z \ K(u,w))) = K(x,T((z \ K(u,w)) * y,z)). K(x,T((y \ K(z,u)) * w,y)) = K(x,w * (y \ K(z,u))). K(x,T(y,z)) = K(x,T(y,z / K(u,w))). K(x,T(y,z / K(u,w))) = K(x,T(y,z)). K(x,T(y,z / (u / w))) = K(x,T(y,z / (w \ u))). K(x,T(y,z)) * (z * K(u,w)) = (z * K(u,w)) * K(x,y). K((x * K(y,z)) \ u,T(w,x)) != v5 | K(u / (x * K(y,z)),w) = v5. K(L(x * K(y,x),y,K(z,u)),T(w,y)) != v5 | K((y * K(z,u)) \ ((y * x) * K(z,u)),w) = v5. K(x,T(y,z)) * (K(u,w) / z) = (K(u,w) / z) * K(x,y). T(x,T(y,z / K(u,w))) = x * K(x,T(y,z)). T(x,T(y,z / K(u,w))) = T(x,T(y,z)). (x \ y) / T(y / x,T(x,z)) = K(x,K(y,z / K(u,w))). K(x,K(y,z / K(u,w))) = (x \ y) / T(y / x,T(x,z)). K(x,y) * K(x,K(y,z / (u / w))) = K(x,T(y,z / (w \ u))). K(x,y * (z \ K(u,w))) * z != z * v5 | K(x,(z \ K(u,w)) * y) = v5. K(x,L(T(y,z),u,w)) * (z * K(v5,v6)) = (z * K(v5,v6)) * K(x,L(y,u,w)). K(x,y) * ((1 / y) * K(z,u)) = ((1 / y) * K(z,u)) * K(x,y). x != K(y,z) * (K(u,w) / w) | x = K(y,z) / T(w,u). (K(x,y) / y) * K(z,u) = K(z,T(u,y)) / T(y,x). K(x,T(y,z)) / T(z,u) = (K(u,z) / z) * K(x,y). x != K(y,T(z,u)) / T(u,w) | x = ((1 / u) * K(y,z)) * K(w,u). (K(x,y) / y) * K(z,u) = ((1 / y) * K(z,u)) * K(x,y). ((1 / x) * K(y,z)) * K(u,x) = (K(u,x) / x) * K(y,z). x != (y \ z) / T(z / y,T(y,u)) | x = K(y,K(z,u)). K(x,K(y,z / K(u,w))) = K(x,K(y,z)). K(x,K(y,K(z,u) \ w)) = K(x,K(y,w)). K(x,K(y,K(z,u) / w)) = K(x,K(y,w)). K(x,K(y,z)) = K(x,K(y,z * K(u,w))). K(x,K(y,z * K(u,w))) = K(x,K(y,z)). K(x,K(y,z / u)) = K(x,K(y,z / T(u,w))). K(x,K(y,z / T(u,w))) = K(x,K(y,z / u)). K(x,K(y,z)) = K(x,K(y,K(u,w) * z)). K(x,K(y,K(z,u) * w)) = K(x,K(y,w)). K(x,K(y,(z * u) * w)) = K(x,K(y,(u * z) * w)). K(x,K(y,z / ((u * w) / u))) = K(x,K(y,z / w)). K(x,K(y,K(z,u) / w)) = K(x,K(w,y)). K(x,K(y,z / (u / w))) = K(x,K(y,z / (w \ u))). K(x,K(y,z / (u / (u / w)))) = K(x,K(y,z / w)). K(x,K(y,z * u)) = K(x,K(y,(z * K(w,v5)) * u)). K(x,K(y,(z * K(u,w)) * v5)) = K(x,K(y,z * v5)). K(x,K(y,z / (u * w))) = K(x,K(y,z / (w * u))). K(x,K(y,z * u)) = K(x,K(y,((w * z) / w) * u)). K(x,K(y,((z * u) / z) * w)) = K(x,K(y,u * w)). K(x,K(y,z * u)) = K(x,K(y,z * (K(w,v5) * u))). K(x,K(y,z * (K(u,w) * v5))) = K(x,K(y,z * v5)). K(x,K(y,L(K(z,u) / w,v5,v6))) = K(x,K(w,L(y,v5,v6))). K(x,K(y,z)) = K(x,K(y * K(u,w),z)). K(x,K(y * K(z,u),w)) = K(x,K(y,w)). K(x,K(K(y,z) / u,w)) = K(x,K(u,w)). K(x,K(y * K(z,u),w)) != v5 | K(x,K(y,w)) = v5. K(x,K(y,L(z * K(u,w),v5,v6))) = K(x,K(z,L(y,v5,v6))). K(x,K(T(y,z) / u,w)) = K(x,K(y / u,w)). x != K(y,K(z,u)) | x = K(y,K(z * K(w,v5),u)). K(x,K(K(y,z) / u,w)) = K(x,K(u * K(v5,v6),w)). x != K(y,K(T(z,u) / w,L(v5,w,u))) | x = K(y,K(v5,(z * u) / (u * w))). K(x,K(y / z,L(u,z,w))) = K(x,K(u,(y * w) / (w * z))). L(K(x,K(y,z / (u / w))),v5,v6) = K(y,K(z / (w \ u),L(x,v5,v6))). K(x,K(y,(T(z,u) / w) * v5)) = K(x,K(y,(z / w) * v5)). K(x,K(y,(T(z,u) * w) * v5)) = K(x,K(y,(z * w) * v5)). K(x,K(y,((z / u) * w) * v5)) = K(x,K(y,((u \ z) * w) * v5)). K(x,K(y,(z * K(u,w)) * v5)) != v6 | K(x,K(y,v5 * z)) = v6. K(x,K(y,(z * u) / w)) = K(x,K(y,w / (u * z))). K(x,K(y,(K(z,u) * w) / v5)) = K(x,K(y,(1 / v5) * w)). x != K(y,K(z / u,L(w,z,v5))) | x = K(y,K(w,L(z / u,u,v5))). K(x,K(y * K(z,u),L(w,K(v5,v6),v7))) = K(x,K(w,L(K(v5,v6) / y,y,v7))). x != K(y,K(z,u / w)) | x = K(y,K(z,w / u)). K(x,K(y,(z * u) / w)) = K(x,K(y,(u * z) / w)). K(x,K(y,z / ((1 / u) * w))) = K(x,K(y,(u / w) * z)). K(x,K(y,z / (u * w))) != v5 | K(x,K(y,z / (w * u))) = v5. K(x,K(y,(z * u) / w)) != v5 | K(x,K(y,(u * z) / w)) = v5. x != K(y,K(z,(u * (w * v5)) / (u * v5))) | x = K(y,K(z,L(w,v5,u))). K(x,K(y,((z * u) * w) / (w * u))) = K(x,K(y,L(z,u,w))). K(x,K(y,a(z,u,u \ w))) = K(x,K(y,((u \ w) * (z * u)) / T(z * w,a(z,u,u \ w)))). K(x,K(y,((z \ u) * (w * z)) / T(w * u,a(w,z,z \ u)))) = K(x,K(y,a(w,z,z \ u))). K(x,K(y,(z * u) / w)) != v5 | K(x,K(y,w / (u * z))) = v5. x != K(y,K(z,L(u,w,v5))) | x = K(y,K(u,L(z,w,v5))). K(x,K(y,L(K(z,u) / w,v5,v6))) = K(x,K(y,L(w,v5,v6))). K(x,K(y,L(K(z,u) * w,v5,v6))) = K(x,K(w,L(y,v5,v6))). K(x,K(y,(z / u) * w)) = K(x,K(y,((v5 / (v5 / z)) / u) * w)). K(x,K(y,((z / (z / u)) / w) * v5)) = K(x,K(y,(u / w) * v5)). K(x,K(y,z * (T(u,w) * v5))) = K(x,K(y,(u * v5) * z)). x != K(y,K(z,(1 / u) * w)) | x = K(y,K(z,w / u)). K(x,K(y,(K(z,u) * w) / v5)) = K(x,K(y,w / v5)). K(x,K(y,z / (K(u,w) * v5))) = K(x,K(y,v5 / z)). K(x,K(y,(z * T(u,w)) / v5)) = K(x,K(y,(z * u) / v5)). K(x,K(y,z / ((K(u,w) * v5) * v6))) = K(x,K(y,(v5 * v6) / z)). K(x,K(y,z / u)) = K(x,K(y,(u * K(w,v5)) / z)). K(x,K(y,(z * K(u,w)) / v5)) = K(x,K(y,v5 / z)). K(x,K(y,z / u)) * (w * K(x,y)) = w * K(x,T(y,(u * K(v5,v6)) / z)). x != K(y,K(z,u / ((1 / w) * v5))) | x = K(y,K((u / v5) * w,L(z,u / v5,v5))). K(x,K(y,(z / u) * w)) = K(x,K((w / u) * z,L(y,w / u,u))). K(x,K((y / z) * u,L(w,y / z,z))) = K(x,K(w,(u / z) * y)). K(x,K(y,((1 / z) * u) / (((1 / z) * u) * w))) = K(x,K(y,(z / u) * (((1 / z) * u) / w))). K(x,K(y,z / (((u / (u / w)) / u) * v5))) = K(x,K(y,((u / (u / ((w / u) \ 1))) / v5) * z)). K(x,K(y,((z / (z / ((u / z) \ 1))) / w) * v5)) = K(x,K(y,v5 / (((z / (z / u)) / z) * w))). x != K(y,K(z,(u * w) / v5)) | x = K(y,K(z,v5 / (w * u))). K(x,K(y,(z * u) / w)) = K(x,K(y,w / (T(u,v5) * z))). K(x,K(y,z / (T(u,w) * v5))) = K(x,K(y,(v5 * u) / z)). K(x,K(y,z / ((u \ w) * v5))) = K(x,K(y,(v5 * (w / u)) / z)). K(x,K(y,(z * (u / w)) / v5)) = K(x,K(y,v5 / ((w \ u) * z))). x != K(y,K(z,L(u,w \ v5,w))) | x = K(y,K(z,L(u,v5,w))). K(x,K(y,(z * u) / (u * (u \ w)))) = K(x,K(z / (u \ w),L(y,w,u))). K(x,K(y / (z \ u),L(w,u,z))) = K(x,K(w,(y * z) / (z * (z \ u)))). K(x,K(T(R(y,K(z,u),w),K(z,u)),L(v5,K(z,u) * w,v6))) = K(x,K(v5,(((K(z,u) * y) * w) * v6) / (v6 * (K(z,u) * w)))). K(x,K(y,z * T(u,w))) != v5 | K(x,K(y,u * z)) = v5. K(x,K(y,(z / T(u,w)) * v5)) != v6 | K(x,K(y,v5 * (z / u))) = v6. K(x,K(y,z * (u * K(w,v5)))) != v6 | K(x,K(y,z * u)) = v6. K(x,K(y,z * (u * w))) != v5 | K(x,K(y,z * (w * u))) = v5. K(x,K(y,z * (u * (w * (v5 / w))))) != v6 | K(x,K(y,z * (u * v5))) = v6. x != K(y,z) * ((1 / u) * K(w,v5)) | x = K(y,z) / (K(v5,w) * u). ((1 / x) * K(y,z)) * K(u,x) = K(u,x) / (K(z,y) * x). x != ((1 / y) * K(z,u)) * K(w,y) | x = (K(w,y) / y) * K(z,u). K(x,y) / (K(z,u) * y) = (K(x,y) / y) * K(u,z). K(x,L(K(y,z),K(u,w) / w,v5)) * K(K(y,z),x) = a(v5,K(u,w) / (K(z,y) * w),K(K(y,z),x)). K(x,K(y,(L(z / u,u,1 / u) * w) * v5)) = K(x,K(y,((u \ (u * ((1 / u) * z))) * w) * v5)). K(x,K(y,((z \ (z * ((1 / z) * u))) * w) * v5)) = K(x,K(y,(L(u / z,z,1 / z) * w) * v5)). x != K(y,K(z,((u \ 1) / w) * v5)) | x = K(y,K(z,(w * u) / v5)). K(x,K(y,((z / (z / (u \ 1))) / w) * v5)) = K(x,K(y,(w * u) / v5)). K(x,K(y,z / ((K(u,w) * v5) * v6))) = K(x,K(y,z / (v5 * v6))). K(x,K(y,z / (u * (K(w,v5) * v6)))) = K(x,K(y,z / (v6 * u))). K(x,K(y,z / (u * (K(w,v5) * v6)))) != v7 | K(x,K(y,z / (u * v6))) = v7. x != K(y,K(z,L(u,w / v5,v5))) | x = K(y,K(z,L(u,w,v5))). K(x,K(y,(z / u) * w)) = K(x,K((w / u) * z,L(y,w,u))). K(x,K((y / z) * u,L(w,y,z))) = K(x,K(w,(u / z) * y)). K(x,K(y,z / (u * (w \ v5)))) != v6 | K(x,K(y,z / (u * (v5 / w)))) = v6. x != K(y,K(z,L(K(u,w) / v5,v6,v7))) | x = K(y,K(z,L(v5,v6,v7))). K(x,K(y * K(z,u),L(w,K(v5,v6),v7))) = K(x,K(w,L(y,y,v7))). x != K(y,K(z,L(u,u,w))) | x = K(y,K(u,z)). K(x,K(y * K(z,u),L(w,K(v5,v6),v7))) = K(x,K(y,w)). K(x,K(y,L(z,K(u,w),v5))) = K(x,K(y,z)). K(x,T(y,z / u)) = K(x,T(y,(u * K(w,v5)) / z)). K(x,T(y,(z * K(u,w)) / v5)) = K(x,T(y,v5 / z)). K(x,T(y,(z / T(u,w)) / v5)) = K(x,T(y,v5 / (z / u))). K(x,T(y,z / (u / T(w,v5)))) = K(x,T(y,z / (u / w))). x != K(y,T(L(z,u,T(y,w)),v5)) | x = K(y,T(z,v5)). K(x,T(L(y,z,T(x,u)),w / (v5 / T(v6,v7)))) = K(x,T(y,w / (v5 / v6))). K(x,T(y,z / (u / (w \ v5)))) = K(x,T(y,z / (u / (v5 / w)))). K(x,T(y,z / (u / (w / v5)))) = K(x,T(y,z / (u / (v5 \ w)))). K(1 / x,T(y,z / (u / w))) / x = T(1 / x,T(y,z / (u / T(w,v5)))). T(1 / x,T(y,z / (u / T(w,v5)))) = K(1 / x,T(y,z / (u / w))) / x. K((x * K(y,z)) \ u,T(w,x)) = K((K(z,y) \ (u / K(y,z))) / (K(y,z) * x),w). K((x * K(y,z)) \ u,T(w,x)) = K((K(z,y) \ (u / K(y,z))) / (K(z,y) \ x),w). K((x * K(y,z)) \ u,T(w,x)) = K(T(u,K(y,z)) / (K(z,y) \ x),w). x != K(T(y,K(z,u)) / w,v5) | x = K(y / w,v5). K((x * K(y,z)) \ u,T(w,x)) = K(u / (K(z,y) \ x),w). K(x / (K(y,z) \ u),w) != v5 | K(x / (u * K(z,y)),w) = v5. x != K(y,K(z,K(u,w) / v5)) | x = K(y,K(v5,z)). K(x,K(y \ (1 / z),L(y / u,u,z))) = K(x,K(z * y,y / u)). K(x,K((1 / y) / z,L(z / u,u,y))) = K(x,K(y * z,z / u)). x != K(y,K((1 / (z \ u)) / w,L(w / z,z,z \ u))) | x = K(y,K(u,(1 / (z \ u)) / w)). K(x,K((y \ z) * u,u / y)) = K(x,K(z,(1 / (y \ z)) / u)). K(x,K(y / z,(z \ u) * y)) = K(x,K(u,(1 / (z \ u)) / y)). x != K(y,K(z / u,(u \ w) * z)) | x = K(y,K(w,z / u)). K(x,K(y,(1 / (z \ y)) / u)) = K(x,K(y,u / z)). K(x,K(y,(1 / z) / u)) = K(x,K(y,u / (y / z))). 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)). x != K(y,K(z,u / (w / (w / v5)))) | x = K(y,K(z,u / v5)). K(x,K(y,z * (y / u))) = K(x,K(y,z / u)). K(x,K(y,z * (x / u))) = K(y,K(x,z / u)). K(x,K(y,z * (x / u))) = K(x,K(y,z / u)). x \ (y * ((y \ x) * K((z / y) \ (y \ x),u))) = K(((y \ x) * y) / z,T(u,x / y)). x != (y * (T(z,u) * w)) \ (y * (z * w)) | x = K(u,T(L(z,w,y),w)). K(x,y * K(z,K(u,w))) = K(x,T(L(y,K(z,K(u,w)),v5),K(z,K(u,w)))). K(x,T(L(y,K(z,K(u,w)),v5),K(z,K(u,w)))) = K(x,y * K(z,K(u,w))). K(x,L(y,K(z,K(u,w)),v5)) = K(x,y * K(z,K(u,w))). K(x,y * K(z,K(u,w))) != v5 | K(x,y) = v5. K(x,y \ T(z,K(u,w))) != v5 | K(x,y \ z) = v5. K(x,y \ (z * K(u,w))) != v5 | K(x,y \ (K(u,w) * z)) = v5. K(x,K(y,K(z,u)) \ w) != v5 | K(x,w) = v5. K(x,T(y,K(z,u)) \ w) != v5 | K(x,y \ w) = v5. K(x,y \ z) != u | K(x,y \ T(z,K(w,v5))) = u. K(x,y \ (K(z,u) \ w)) != v5 | K(x,y \ (w * K(u,z))) = v5. K(x,(y * K(z,u)) \ w) != v5 | K(x,(K(z,u) * y) \ w) = v5. K(x,(L(K(y,z),u,w) * v5) \ v6) != v7 | K(x,(v5 * L(K(y,z),u,w)) \ v6) = v7. x \ (x * K((y * (z / y)) \ x,u)) = K(((y \ x) * y) / z,T(u,x / y)). K(((x \ y) * x) / z,T(u,y / x)) = y \ (y * K((x * (z / x)) \ y,u)). K(((x \ y) * x) / z,T(u,y / x)) = K((x * (z / x)) \ y,u). K(1 / x,T(y,z / u)) = K((u * ((x * ((u \ z) * u)) / u)) \ z,y). K((x * ((y * ((x \ z) * x)) / x)) \ z,u) = K(1 / y,T(u,z / x)). K((x * ((y * ((x \ z) * x)) / x)) \ z,u) != w | K(1 / y,T(u,z / x)) = w. K(((1 / (x \ y)) * ((z * (((y \ x) \ u) * (y \ x))) / (1 / (x \ y)))) \ u,w) = K(1 / z,T(w,u / (1 / (x \ y)))). x != K(y,K(z,a(u,w,v5))) | x = a(z,w,K(y,K(v5,u))). K(x,K(y,((z \ u) * (w * z)) / T(w * u,a(w,z,z \ u)))) = a(y,z,K(x,K(z \ u,w))). K(x,K(y,1 / (z * ((1 / u) * w)))) = K(x,K(y,(u / w) * (((1 / u) * w) / (((1 / u) * w) * z)))). K(x,K(y,(z / u) * (((1 / z) * u) / (((1 / z) * u) * w)))) = K(x,K(y,1 / (w * ((1 / z) * u)))). K(x,K(y,((z \ u) * (w * z)) / T(w * u,a(w,z,z \ u)))) = a(y,z,K(x,K(w,u / z))). x != K(y,K(z,u / T(w,v5))) | x = K(y,K(z,u / w)). a(x,y,K(z,K(u,w / y))) = K(z,K(x,((y \ w) * (u * y)) / (u * w))). K(x,K(y,((z \ u) * (w * z)) / (w * u))) = a(y,z,K(x,K(w,u / z))). K(x,K(y,(((1 / z) * u) * w) * v5)) = K(x,K(y,(L(u / z,z,1 / z) * w) * v5)). K(x,K(y,(L(z / u,u,1 / u) * w) * v5)) = K(x,K(y,(((1 / u) * z) * w) * v5)). K(x,K(y,(z * u) * R(L(w / v5,v5,1 / v5),z,u))) = K(x,K(y,(((1 / v5) * w) * z) * u)). K(x,K(y,(z * u) * L(R(w / v5,z,u),v5,1 / v5))) = K(x,K(y,(((1 / v5) * w) * z) * u)). K(x,K(y,L(z,K(u,w) / w,v5))) * K(K(z,y),x) = a(v5,K(u,w) / (K(y,z) * w),K(K(z,y),x)). K(x,K(y,(z / u) * (((1 / z) * u) / (((1 / z) * u) * w)))) != v5 | K(x,K(y,w * ((1 / z) * u))) = v5. K(((x \ y) * ((z * (((x \ y) \ u) * (x \ y))) / (x \ y))) \ u,w) = K(1 / z,T(w,u / (1 / (y \ x)))). K(1 / x,T(y,z / (u \ w))) = K(1 / x,T(y,z / (1 / (w \ u)))). K(1 / x,T(y,z / (1 / (u \ w)))) = K(1 / x,T(y,z / (w \ u))). x != K(y,T(z,u / (w \ v5))) | x = K(y,T(z,u / (v5 / w))). K(1 / x,T(y,z / (1 / (u \ w)))) = K(1 / x,T(y,z / (u / w))). x != K(y,T(z,u / (w / (v5 \ v6)))) | x = K(y,T(z,u / (w / (v6 / v5)))). K(1 / x,T(y,z / (u / w))) = K(1 / x,T(y,z / (1 / (w / u)))). K(1 / x,T(y,z / (1 / (u / w)))) = K(1 / x,T(y,z / (w / u))). K(1 / x,T(y,(z / u) * w)) = K(1 / x,T(y,w / (u / z))). K(1 / x,T(y,z / (u / w))) = K(1 / x,T(y,(w / u) * z)). T(1 / x,T(y,z / (u / T(w,v5)))) = K(1 / x,T(y,(w / u) * z)) / x. x != K(1 / y,z) / y | x = T(1 / y,z). T(1 / x,T(y,z / (u / T(w,v5)))) = T(1 / x,T(y,(w / u) * z)). T(T(1 / (1 / L(x,y,z)),T(u,(w / v5) * v6)),1 / x) = T(L(x,y,z),T(u,v6 / (v5 / T(w,v7)))). x != T(T(1 / (1 / L(y,z,u)),w),1 / y) | x = T(L(y,z,u),w). T(L(x,y,z),T(u,w / (v5 / T(v6,v7)))) = T(L(x,y,z),T(u,(v6 / v5) * w)). K(x,K(R(y,K(z,u),w),L(v5,K(z,u) * w,v6))) = K(x,K(v5,(((K(z,u) * y) * w) * v6) / (v6 * (K(z,u) * w)))). K(x,K(y,(((K(z,u) * w) * v5) * v6) / (v6 * (K(z,u) * v5)))) = K(x,K(R(w,K(z,u),v5),L(y,K(z,u) * v5,v6))). K(x,K(y,(((K(z,u) * w) * v5) * v6) / (v6 * (K(z,u) * v5)))) = K(x,K(w,L(L(y,K(z,u) * v5,v6),K(z,u),v5))). x != K(y,K(z,L(u,K(w,v5),v6))) | x = K(y,K(z,u)). K(x,K(y,(((K(z,u) * w) * v5) * v6) / (v6 * (K(z,u) * v5)))) = K(x,K(w,L(y,K(z,u) * v5,v6))). K(x,K(y,(((K(z,u) * w) * v5) * v6) / (v6 * v5))) = K(x,K(w,L(y,K(z,u) * v5,v6))). x != K(y,K(z,((u * w) * v5) / (v5 * w))) | x = K(y,K(z,L(u,w,v5))). K(x,K(y,L(z,K(u,w) * v5,v6))) = K(x,K(z,L(K(u,w) * y,v5,v6))). K(x,K(y,L(K(z,u) * w,v5,v6))) = K(x,K(w,L(y,K(z,u) * v5,v6))). x != K(y,K(z,L(K(u,w) * v5,v6,v7))) | x = K(y,K(v5,L(z,v6,v7))). K(x,K(y,L(z,K(u,w) * v5,v6))) = K(x,K(y,L(z,v5,v6))). L(K(x,K(y,z)),K(u,w) * v5,v6) = K(y,K(z,L(x,v5,v6))). K(x,K(y,L(z,K(u,w) / v5,v6))) = K(x,K(y,L(z,1 / v5,v6))). x != K(y,K(z,L(u,w,v5))) | x = a(u,w,K(v5,K(y,z))) * K(u,K(y,z)). L(K(x,K(y,z)),K(u,w) * v5,v6) = a(x,v5,K(v6,K(y,z))) * K(x,K(y,z)). a(x,K(y,z) * u,K(w,K(v5,v6))) = a(x,u,K(w,K(v5,v6))). a(x,y,K(z,K(u,w))) = a(x,v5 * (y / v5),K(z,K(u,w))). a(x,y * (z / y),K(u,K(w,v5))) = a(x,z,K(u,K(w,v5))). a(x,y / z,K(u,K(w,v5))) = a(x,z \ y,K(u,K(w,v5))). x != a(y,z * ((1 / u) / w),K(v5,K(v6,w * u))) | x = a(y,z,K((1 / u) / w,K(v5,v6))). a(x,1 / y,K(z,K(u,w * y))) = a(x,w,K((1 / y) / w,K(z,u))). a(x,1 / y,K(z,K(u,w * y))) = a(x,w,K(z,K(u,(1 / y) / w))). a(x,1 / y,K(z,K(u,w * y))) = a(x,w,K(z,K(u,w * y))). a(x,1 / (y \ z),K(u,K(w,z))) = a(x,y,K(u,K(w,y * (y \ z)))). a(x,1 / (y \ z),K(z,K(u,w))) = a(x,y,K(u,K(w,y * (y \ z)))). a(x,1 / (y \ z),K(z,K(u,w))) = a(x,y,K(u,K(w,z))). a(x,1 / (y \ z),K(z,K(u,w))) = a(x,y,K(z,K(u,w))). a(x,1 / y,K(z,K(u,w))) = a(x,z / y,K(z,K(u,w))). a(x,1 / y,K(z,K(u,w))) = a(x,w / y,K(w,K(z,u))). a(x,1 / y,K(z,K(u,w))) = a(x,w / y,K(z,K(u,w))). a(x,1 / y,K(z,K(u,w))) = a(w,u / y,K(z,K(x,u))). a(x,1 / y,K(z,K(u,w))) = a(w,u / y,K(z,K(u,x))). K(1 / x,x) \ ((1 / L(x,y,z)) * ((u * (1 / (1 / L(x,y,z)))) / u)) = K(u,1 / (K(1 / x,x) \ R(1 / L(x,y,z),L(x,y,z),K(1 / x,x)))). K(x,1 / (K(1 / y,y) \ R(1 / L(y,z,u),L(y,z,u),K(1 / y,y)))) = K(1 / y,y) \ ((1 / L(y,z,u)) * ((x * (1 / (1 / L(y,z,u)))) / x)). K(x,1 / (K(1 / y,y) \ R(1 / L(y,z,u),L(y,z,u),K(1 / y,y)))) = K(1 / y,y) \ ((1 / L(y,z,u)) * (1 / (1 / ((x * L(y,z,u)) / x)))). K(x,1 / (K(1 / y,y) \ R(1 / L(y,z,u),L(y,z,u),K(1 / y,y)))) = K(1 / y,y) \ ((T(L(y,z,u),x) \ 1) * L(y,z,u)). K(x,1 / (K(1 / y,y) \ R(1 / L(y,z,u),L(y,z,u),K(1 / y,y)))) = K(y,1 / y) * ((T(L(y,z,u),x) \ 1) * L(y,z,u)). x != K(y,1 / y) * (z * L(y,u,w)) | x = z * L((y \ 1) \ 1,u,w). K(x,1 / (K(1 / y,y) \ R(1 / L(y,z,u),L(y,z,u),K(1 / y,y)))) = (T(L(y,z,u),x) \ 1) * L((y \ 1) \ 1,z,u). K(x,1 / (K(1 / y,y) \ (1 / L(y,z,u)))) = (T(L(y,z,u),x) \ 1) * L((y \ 1) \ 1,z,u). K(x,1 / (K(y,1 / y) * (1 / L(y,z,u)))) = (T(L(y,z,u),x) \ 1) * L((y \ 1) \ 1,z,u). K(x,1 / (1 / (1 / (1 / L(y,z,u))))) = (T(L(y,z,u),x) \ 1) * L((y \ 1) \ 1,z,u). (T(L(x,y,z),u) \ 1) * L((x \ 1) \ 1,y,z) = K(u,1 / (1 / (1 / (1 / L(x,y,z))))). x != K(y,1 / (z / (z / (1 / u)))) | x = K(y,T(u,z)). (T(L(x,y,z),u) \ 1) * L((x \ 1) \ 1,y,z) = K(u,T(L(x,y,z),1)). (T(L(x,y,z),u) \ 1) * L((x \ 1) \ 1,y,z) = K(u,L(x,y,z)). (T(L(x,y,z),T(u,(w / v5) * v6)) \ 1) * L((x \ 1) \ 1,y,z) = K(T(u,v6 / (v5 / T(w,v7))),L(x,y,z)). K(T(x,y / (z / T(u,w))),L(v5,v6,v7)) = (T(L(v5,v6,v7),T(x,(u / z) * y)) \ 1) * L((v5 \ 1) \ 1,v6,v7). x != (T(L(y,z,u),w) \ 1) * L((y \ 1) \ 1,z,u) | x = K(w,L(y,z,u)). K(T(x,y / (z / T(u,w))),L(v5,v6,v7)) = K(T(x,(u / z) * y),L(v5,v6,v7)). K(T(x,y / (z / T(u,w))),L(v5,v6,v7)) = K(x,T(L(v5,v6,v7),(u / z) * y)). K(x,T(L(y,z,u),w / (v5 / T(v6,v7)))) = K(x,T(L(y,z,u),(v6 / v5) * w)). x != K(y,T(z,u / (w / T(v5,v6)))) | x = K(y,T(z,u / (w / v5))). K(x,T(L(y,z,u),(w / v5) * v6)) = K(x,T(L(y,z,u),v6 / (v5 / w))). K(x,T(L(y,z,u),w / (v5 / v6))) = K(x,T(L(y,z,u),(v6 / v5) * w)). x != K(y,T(L(z,u,T(y,w)),v5 / (v6 / T(v7,v8)))) | x = K(y,T(z,v5 / (v6 / v7))). K(x,T(L(y,z,T(x,u)),(T(w,v5) / v6) * v7)) = K(x,T(y,v7 / (v6 / w))). K(x,T(y,z / (u / w))) = K(x,T(y,(T(w,v5) / u) * z)). K(x,T(y,(T(z,u) / w) * v5)) = K(x,T(y,v5 / (w / z))). K(x,T(y,(z / u) * w)) = K(x,T(y,w / (u / z))). K(x,T(y,z / (u / w))) = K(x,T(y,(w / u) * z)). x != K(y,T(z,u / (w / v5))) | x = K(y,T(z,u / (v5 \ w))). K(x,T(y,(z / u) * w)) = K(x,T(y,w / (z \ u))). K(x,T(y,z / (u \ w))) = K(x,T(y,(u / w) * z)). K(x,T(y,z / (u \ w))) = K(x,y) * K(x,K(y,(u / w) * z)). K(x,y) * K(x,K(y,(z / u) * w)) = K(x,T(y,w / (z \ u))). K(x,y) * z != K(x,T(y,u / (w \ v5))) | z = K(x,K(y,u / (v5 / w))). K(x,K(y,(z / u) * w)) = K(x,K(y,w / (u / z))). K(x,K(y,z / (u / w))) = K(x,K(y,(w / u) * z)). K(x,K(y,(z / u) / w)) = K(x,K(y,(u / z) * w)). K(x,K(y,((z / u) / z) * w)) = K(x,K(y,w / u)). x != K(y,K(z,u / ((w * v5) / w))) | x = K(y,K(z,u / v5)). K(x,K(y,(z / (z * u)) * w)) = K(x,K(y,w / u)). L(K(x,K(y,(z / u) * w)),v5,v6) = K(y,K(w / (z \ u),L(x,v5,v6))). K(x,K(y,z * (u / (u * w)))) = K(x,K(y,z / w)). K(x,K(y,z * ((1 / u) * w))) = K(x,K(y,(u / w) / z)). K(x,K(y,z * (u / w))) = K(x,K(y,z / (u \ w))). K(x,K(y,z / (u \ w))) = K(x,K(y,z * (u / w))). x != K(y,K(z,(u / w) / v5)) | x = K(y,K(z,(w / u) * v5)). K(x,K(y,z * ((1 / u) * w))) = K(x,K(y,(w / u) * z)). K(x,K(y,z * (u * (1 / w)))) = K(x,K(y,(u / w) * z)). K(x,K(y,z * L(u,w,1 / w))) = K(x,K(y,((w * u) / w) * z)). x != K(y,K(z,((u * w) / u) * v5)) | x = K(y,K(z,w * v5)). K(x,K(y,z * L(u,w,1 / w))) = K(x,K(y,u * z)). x != K(y,K(z,(u * w) * L(R(v5 / v6,u,w),v6,1 / v6))) | x = K(y,K(z,(((1 / v6) * v5) * u) * w)). K(x,K(y,R(z / u,w,v5) * (w * v5))) = K(x,K(y,(((1 / u) * z) * w) * v5)). K(x,K((y / z) * u,L(w,v5,v6))) = K(x,K(u / (y \ z),L(w,v5,v6))). K(x,K(y / (z \ u),L(w,v5,v6))) = K(x,K((z / u) * y,L(w,v5,v6))). x != K(y,K(z / (u \ w),L(v5,w,u))) | x = K(y,K(v5,(z * u) / (u * (u \ w)))). K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(u * y) / (y * (y \ z)))). K(x,K(y / z,L(u,w,v5))) = K(x,K(((v6 / z) / v6) * y,L(u,w,v5))). K(x,K(((y / z) / y) * u,L(w,v5,v6))) = K(x,K(u / z,L(w,v5,v6))). K(x,K(y * ((z / u) / z),L(w,v5,v6))) = K(x,K(y / u,L(w,v5,v6))). K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(u * y) / z)). x != K(y,K(z,(u * w) / v5)) | x = K(y,K(z,(w * u) / v5)). K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(y * u) / z)). x != K(y,K(z * ((u / w) / u),L(v5,v6,v7))) | x = K(y,K(z / w,L(v5,v6,v7))). K(x,K(y,(z * ((u / w) / u)) / v5)) = K(x,K((z / v5) / w,L(y,v5,z))). K(x,K((y / z) / u,L(w,z,y))) = K(x,K(w,(y * ((v5 / u) / v5)) / z)). K(x,K((y / z) / u,L(w,z,y))) = K(x,K(w,(y * (1 / u)) / z)). K(x,K((y / z) * u,L(w,z,y))) != v5 | K(x,K(w,(u * y) / z)) = v5. x != K(y,K((z / u) / w,L(v5,u,z))) | x = K(y,K(v5,(z * (1 / w)) / u)). K(x,K(y,(z * ((u / w) / u)) / v5)) = K(x,K(y,(z * (1 / w)) / v5)). K(x,K(y,(z * ((u / w) / u)) / v5)) = K(x,K(y,(w / z) * v5)). K(x,K(y,z / (((u / w) / u) * v5))) = K(x,K(y,(w / v5) * z)). x != K(y,K(z,u / (((w / (w / v5)) / w) * v6))) | x = K(y,K(z,((w / (w / ((v5 / w) \ 1))) / v6) * u)). K(x,K(y,((z / u) / w) * v5)) = K(x,K(y,((z / (z / ((u / z) \ 1))) / w) * v5)). K(x,K(y,((z / (z / ((u / z) \ 1))) / w) * v5)) = K(x,K(y,((z / u) / w) * v5)). K(x,K(y,((z / u) * w) * v5)) = K(x,K(y,(((1 / u) * z) * w) * v5)). K(x,K(y,(((1 / z) * u) * w) * v5)) = K(x,K(y,((u / z) * w) * v5)). x != K(y,K(z,(u * w) * v5)) | x = K(y,K(z,(w * u) * v5)). K(x,K(y,((z / u) * w) * v5)) = K(x,K(y,(w * ((1 / u) * z)) * v5)). K(x,K(y,(z * ((1 / u) * w)) * v5)) = K(x,K(y,((w / u) * z) * v5)). K(x,K(y,z * (u * ((1 / w) * v5)))) = K(x,K(y,((v5 / w) * u) * T(z,v6))). K(x,K(y,((z / u) * w) * T(v5,v6))) = K(x,K(y,v5 * (w * ((1 / u) * z)))). K(x,K(y,(z * ((1 / u) * w)) / v5)) = K(x,K(y,((w / u) * z) * (1 / v5))). K(x,K(y,z * ((u / w) * v5))) = K(x,K(y,z * (v5 * ((1 / w) * u)))). K(x,K(y,z * (u * ((1 / w) * v5)))) = K(x,K(y,z * ((v5 / w) * u))). K(x,K(y,z * (u * w))) = K(x,K(y,z * (((w / (1 / v5)) / v5) * u))). K(x,K(y,z * (((u / (1 / w)) / w) * v5))) = K(x,K(y,z * (v5 * u))). K(x,K(y,z * (((1 / u) * w) * v5))) = K(x,K(y,z * ((w / u) * v5))). x != K(y,K(z,(u / w) * (w * ((1 / u) * v5)))) | x = K(y,K(z,L(v5,1 / u,w))). K(x,K(y,(z / u) * ((w / z) * u))) = K(x,K(y,L(w,1 / z,u))). x != K(y,K(z,u * (w * (1 / v5)))) | x = K(y,K(z,(w / v5) * u)). K(x,K(y,L(z,1 / u,1 / w))) = K(x,K(y,((z / u) / w) * (u / (1 / w)))). K(x,K(y,((z / u) / w) * (u / (1 / w)))) = K(x,K(y,L(z,1 / u,1 / w))). x != K(y,K(z,u * (T(w,v5) * v6))) | x = K(y,K(z,(w * v6) * u)). K(x,K(y,z * (((u / (1 / w)) / w) * T(v5,v6)))) = K(x,K(y,(v5 * u) * z)). x != K(y,K(z,u * (1 / w))) | x = K(y,K(z,u / w)). K(x,K(y,(z * ((1 / u) * w)) / v5)) = K(x,K(y,((w / u) * z) / v5)). K(x,K(y,z * ((u / (1 / w)) * K(w,v5)))) = K(x,K(y,(w * u) * z)). K(x,K(y,z * (u / (1 / w)))) = K(x,K(y,(w * u) * z)). x != K(y,K(z,u * (w / (1 / v5)))) | x = K(y,K(z,(v5 * w) * u)). K(x,K(y,L(z,1 / u,1 / w))) = K(x,K(y,(w * u) * ((z / u) / w))). K(x,K(y,(z * u) * ((w / u) / z))) = K(x,K(y,L(w,1 / u,1 / z))). x != K(y,K(z,((u / (u / (w \ 1))) / v5) * v6)) | x = K(y,K(z,(v5 * w) / v6)). K(x,K(y,((z / u) / w) * v5)) = K(x,K(y,(w * (u / z)) / v5)). K(x,K(y,(z * (u / w)) / v5)) = K(x,K(y,((w / u) / z) * v5)). K(x,K(y,((z / u) * w) / v5)) = K(x,K(y,((u / z) / w) * v5)). x != K(y,K(z,(u * (w / v5)) / v6)) | x = K(y,K(z,v6 / ((v5 \ w) * u))). K(x,K(y,((z / u) / w) * v5)) = K(x,K(y,v5 / ((z \ u) * w))). K(x,K(y,z / ((u \ w) * v5))) = K(x,K(y,((u / w) / v5) * z)). x != K(y,K(z,((u / w) * v5) / v6)) | x = K(y,K(z,(v5 * ((1 / w) * u)) / v6)). K(x,K(y,((z / u) / w) * v5)) = K(x,K(y,(w * ((1 / z) * u)) / v5)). K(x,K(y,(z * ((1 / u) * w)) / v5)) = K(x,K(y,((u / w) / z) * v5)). K(x,K(y,((z \ u) * w) / v5)) = K(x,K(y,((z / u) / w) * v5)). K(x,K(y,z / (u * (w \ v5)))) = K(x,K(y,((w / v5) / T(u,w \ v5)) * z)). K(x,K(y,((z / u) / T(w,z \ u)) * v5)) = K(x,K(y,v5 / (w * (z \ u)))). x != K(y,K(z,((u \ w) * (v5 * u)) / (v5 * w))) | x = a(z,u,K(y,K(v5,w / u))). K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(y,z,K(x,K(w,u / z))). K(x,K(y,z / (u * ((1 / w) * v5)))) = K(x,K(y,((w / v5) / u) * z)). K(x,K(y,a(z,1 / u,w))) = K(x,K(y,((u / w) / z) * ((z * (1 / u)) * w))). K(x,K(y,((z / u) / w) * ((w * (1 / z)) * u))) = K(x,K(y,a(w,1 / z,u))). K(x,K(y,(z * u) * ((w / u) / (z * w)))) = a(x,w,K(y,K(z,u / w))). x != a(y,z,K(u,K(w,v5))) | x = a(y,v5 * z,K(u,K(w,v5))). K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(y,(u / z) * z,K(x,K(w,u / z))). a(x,y,K(z,K(u,w / y))) != v5 | K(x,K(z,((y / w) / (u * y)) * (u * w))) = v5. K(x,K(y,((z / u) * w) * ((u / w) / z))) = a(x,u,K(y,K(z / u,w / u))). K(x,K(y,z * ((u / w) / v5))) = K(x,K(y,z / (v5 * (u \ w)))). K(x,K(y,z / (u * (w \ v5)))) = K(x,K(y,z * ((w / v5) / u))). K(x,K(y,z / (u * (w / v5)))) = K(x,K(y,z * ((v5 / w) / u))). K(x,K(y,L(z,u,w))) = K(x,K(z,(w * u) * ((y / u) / w))). K(x,K(y,(z * u) * ((w / u) / z))) = K(x,K(w,L(y,u,z))). x != K(y,K(z,(u * w) * ((v5 / w) / u))) | x = K(y,K(z,L(v5,1 / w,1 / u))). K(x,K(y,L(z,u,w))) = K(x,K(z,L(y,1 / u,1 / w))). K(x,K(y,L(z,1 / u,1 / w))) = K(x,K(z,L(y,u,w))). x != K(y,K(z,L(u,w,1 / v5))) | x = K(y,K(z,L(u,w,v5))). K(x,K(y,L(z,u,w))) = K(x,K(z,L(y,1 / u,w))). K(x,K(y,L(z,1 / u,w))) = K(x,K(z,L(y,u,w))). x != K(y,K(z,L(u,1 / w,v5))) | x = K(y,K(z,L(u,K(v6,v7) / w,v5))). K(x,K(y,L(z,u,w))) = K(x,K(z,L(y,K(v5,v6) / u,w))). K(x,K(y,L(z,K(u,w) / v5,v6))) = K(x,K(z,L(y,v5,v6))). K(x,K(y,L(z,u,w))) * K(K(y,z),x) = a(w,K(v5,u) / (K(z,y) * u),K(K(y,z),x)). a(x,K(y,z) / (K(u,w) * z),K(K(w,u),v5)) = K(v5,K(w,L(u,z,x))) * K(K(w,u),v5). x != K(y,K(z,a(u,w,v5))) | x = a(y,w,K(z,K(u,v5))). K(x,K(y,((z / u) / w) * ((w * (1 / z)) * u))) = a(x,1 / z,K(y,K(w,u))). K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(y,u,K(x,K(w,u / z))). a(x,K(y,z) / (K(u,w) * z),K(K(w,u),v5)) = K(v5,K(w,L(u,z,x))) * K(v5,K(w,u)). a(x,K(y,z) / (K(u,w) * z),K(K(w,u),v5)) = K(K(w,L(u,z,x)) * K(u,w),v5). a(x,K(y,z) / (K(u,w) * z),K(K(w,u),v5)) = K(a(x,z * u,K(u,w)),v5). x != K(a(y,z * u,K(u,w)),v5) | x = a(u,z,K(v5,K(w,y))). a(x,K(y,z) / (K(u,w) * z),K(K(w,u),v5)) = a(u,z,K(v5,K(w,x))). a(x,(K(y,z) / z) * K(u,w),K(K(u,w),v5)) = a(w,z,K(v5,K(u,x))). a(x,(K(y,z) / z) * K(u,w),K(v5,K(u,w))) = a(w,z,K(v5,K(u,x))). a(x,K(y,z) / z,K(u,K(w,v5))) = a(v5,z,K(u,K(w,x))). a(x,1 / y,K(z,K(u,w))) = a(w,y,K(z,K(u,x))). x != a(y,1 / z,K(u,K(w,v5))) | x = K(y,K(u,((z / v5) / w) * ((w * (1 / z)) * v5))). a(x,y,K(z,K(u,w))) = K(w,K(z,((y / x) / u) * ((u * (1 / y)) * x))). K(x,K(y,((z / u) / w) * ((w * (1 / z)) * u))) = a(u,z,K(y,K(w,x))). x != a(y,1 / z,K(u,K(w,v5))) | x = a(v5,w / z,K(u,K(w,y))). a(x,y,K(z,K(u,w))) = a(x,u / y,K(z,K(u,w))). a(x,y / z,K(u,K(y,w))) = a(x,z,K(u,K(y,w))). a(x,y / z,K(u,K(y,w))) != v5 | a(y,z,K(u,K(x,w))) = v5. K(x,K(y,((z / u) / w) * ((w * (1 / z)) * u))) = a(u,z,K(x,K(y,w))). K(x,K(y,((z / u) / (1 / (K(w,1 / z) / w))) * (((1 / z) * (1 / (1 / w))) * u))) = a(u,z,K(x,K(y,1 / (K(w,1 / z) / w)))). K(x,K(y,((z / u) / (1 / (K(w,1 / z) / w))) * (((1 / z) * w) * u))) = a(u,z,K(x,K(y,1 / (K(w,1 / z) / w)))). K(x,K(y,((z / u) / (w * K(1 / z,w))) * (((1 / z) * w) * u))) = a(u,z,K(x,K(y,1 / (K(w,1 / z) / w)))). K(x,K(y,(((z / u) / w) * K(w,1 / z)) * (((1 / z) * w) * u))) = a(u,z,K(x,K(y,1 / (K(w,1 / z) / w)))). x != K(y,K(z,u * (((1 / w) * v5) * v6))) | x = K(y,K(z,u * ((v5 / w) * v6))). a(x,y,K(z,K(u,1 / (K(w,1 / y) / w)))) = K(z,K(u,(((y / x) / w) * K(w,1 / y)) * ((w / y) * x))). K(x,K(y,(((z / u) / w) * K(w,1 / z)) * ((w / z) * u))) = a(u,z,K(x,K(y,1 / (K(w,1 / z) / w)))). K(x,K(y,((z / u) * w) * ((u / w) / z))) = a(w,u,K(x,K(y,1 / (K(z,1 / u) / z)))). K(x,K(y,((z / u) * w) * ((u / w) / z))) = a(w,u,K(x,K(y,z * K(1 / u,z)))). K(x,K(y,((z / u) * w) * ((u / w) / z))) = a(w,u,K(x,K(y,z))). x != K(y,K(z,((u / w) * v5) * ((w / v5) / u))) | x = a(y,w,K(z,K(u / w,v5 / w))). a(x,y,K(z,K(u,w))) = a(z,y,K(u,K(w / y,x / y))). a(x,y,K(z,K(u / y,w / y))) = a(w,y,K(x,K(z,u))). a(x,y \ z,K(u,K(y,w / (y \ z)))) = a(w,y \ z,K(x,K(u,z))). a(x,y \ z,K(u,K(y,w * (y / z)))) = a(w,y \ z,K(x,K(u,z))). a(x,y \ z,K(y,K(u,w * (y / z)))) = a(w,y \ z,K(x,K(u,z))). a(x,y \ z,K(y,K(u,w / z))) = a(w,y \ z,K(x,K(u,z))). x != a(y,z \ u,K(z,K(w,v5))) | x = a(y,u,K(z,K(w,v5))). a(x,y \ z,K(u,K(w,z))) = a(u,z,K(y,K(w,x / z))). a(x,y \ z,K(u,K(z,w))) = a(u,z,K(y,K(w,x / z))). x != a(y,z \ u,K(w,K(v5,v6))) | x = a(y,u / z,K(w,K(v5,v6))). a(x,y,K(z,K(u,w / y))) = a(w,y / z,K(x,K(y,u))). a(x,y / z,K(u,K(y,w))) = a(u,y,K(z,K(w,x / y))). a(x,y,K(z,K(u,w))) = a(z,x,K(y,K(w,u / x))). a(x,y,K(z,K(u,w / y))) = a(y,z,K(x,K(w,u))). a(x,y,K(z,K(u,w / y))) = a(y,z,K(w,K(x,u))). K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(z,y,K(u,K(x,w))). K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(z,y,K(x,K(w,u))). x != K(y,K(z,((u / w) / (v5 * u)) * (v5 * w))) | x = a(z,w,K(y,K(v5,w / u))). a(x,y,K(z,K(u,w))) = a(y,w,K(z,K(u,w / x))). a(x,y,K(z,K(u,y / w))) = a(w,x,K(z,K(u,y))). a(x,y,K(z,K(u,w / y))) = a(w,x,K(z,K(u,y))). a(x,y,K(z,K(u,w / y))) = a(w,x,K(z,K(y,u))). x != a(y,z,K(u,K(w,v5 / z))) | x = a(z,u,K(v5,K(y,w))). a(x,y,K(z,K(u,w))) = a(u,z,K(x,K(y,w))). a(x,y,K(z,K(u,w))) * K(z,K(x,w)) = L(K(z,K(x,w)),u,y). a(x,y,K(z,K(u,w))) * K(x,K(z,w)) = L(K(z,K(x,w)),u,y). K(x,K(y,L(z,u,w))) = L(K(x,K(z,y)),w,u). L(K(x,K(y,z)),u,w) = K(x,K(z,L(y,w,u))). K(x,K(y,L(z,u,w))) = K(x,K(y,L(z,w,u))). x != K(y,K((z / u) * w,L(v5,z,u))) | x = K(y,K(v5,(w / u) * z)). K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(u / z) * y)). K(x,K(y,z \ ((z / (u * w)) * (u * (w * v5))))) = K(x,K(y,L(L(v5,w,u),z / (u * w),u * w))). K(x,K(y,L(L(z,u,w),v5 / (w * u),w * u))) = K(x,K(y,v5 \ ((v5 / (w * u)) * (w * (u * z))))). K(x,K(y,1 / L(z,u,w))) = K(x,K(y,L(L(1 / z,z,u),w,u * z))). K(x,K(y,L(L(1 / z,z,u),w,u * z))) = K(x,K(y,1 / L(z,u,w))). K(x,K(y,(z * u) / w)) = K(x,K(y,(z / w) * u)). K(x,K(y,L(L(1 / z,z,u),w,u * z))) != v5 | K(x,K(y,L(z,u,w))) = v5. K(x,K(y,L(L(z,u,w),v5 / (w * u),w * u))) = K(x,K(y,((v5 / (w * u)) * (w * (u * z))) / v5)). x != K(y,K(z,(u * w) / v5)) | x = K(y,K(z,(u / v5) * w)). K(x,K(y,L(L(z,u,w),v5 / (w * u),w * u))) = K(x,K(y,((v5 / (w * u)) / v5) * (w * (u * z)))). x != K(y,K(z,((u / w) / u) * v5)) | x = K(y,K(z,v5 / w)). K(x,K(y,L(L(z,u,w),v5 / (w * u),w * u))) = K(x,K(y,(w * (u * z)) / (w * u))). K(x,K(y,L(L(z,u,w),v5 / (w * u),w * u))) = K(x,K(y,T(L(z,u,w),w * u))). x != K(y,K(z,T(u,w))) | x = K(y,K(z,u)). K(x,K(y,L(L(z,u,w),v5 / (w * u),w * u))) = K(x,K(y,L(z,u,w))). K(x,K(y,L(z,u,w))) = K(x,K(y,L(L(z,u,w),v5,w * u))). K(x,K(y,L(L(z,u,w),v5,w * u))) = K(x,K(y,L(z,u,w))). K(x,K(y,L(z,u,w))) = K(x,K(y,L(1 / z,z,u))). K(x,K(y,L(1 / z,z,u))) = K(x,K(y,L(z,u,w))). K(x,K(y,1 / z)) = K(x,K(y,L(z,u,w))). K(x,K(y,L(z,u,w))) = K(x,K(y,1 / z)). x != K(y,K(z,1 / u)) | x = K(u,K(y,z)). K(x,K(y,L(z,u,w))) = K(z,K(x,y)). x != K(y,K(z,1 / u)) | x = K(y,K(z,u)). K(x,K(y,L(z,u,w))) = K(x,K(y,z)). L(K(x,K(y,z)),u,w) = K(x,K(y,z)). x != K(y,K(z,L(u,w,v5))) | x = K(L(K(u,y),w,v5),z). K(x,K(y,z)) = K(L(K(x,y),u,w),z). K(L(K(x,y),z,u),w) = K(x,K(y,w)). (x * y) * K(z,K(u,w)) = x * (y * K(z,K(u,w))). (x * y) * K(z,K(u,w)) != v5 | x * (y * K(z,K(u,w))) = v5. K(x,K(y,z)) * (u * w) = u * (w * K(x,K(y,z))). L(K(x,K(y,z)),u,w) * v5 != K(x,K(y,z)) | 1 = v5. 1 = a(x,y,K(z,K(u,w))). a(x,y,K(z,K(u,w))) = 1. K(x,K(y,z)) * u != L(K(x,K(y,z)),w,v5) | 1 = u. 1 = a(K(x,y),z,K(u,w)). a(K(x,y),z,K(u,w)) = 1. K(x,K(y,z)) * (u * w) = (K(x,K(y,z)) * u) * w. (K(x,K(y,z)) * u) * w = K(x,K(y,z)) * (u * w). K(x,K(y,z)) \ (u * w) = (K(x,K(y,z)) \ u) * w. 1 = a(K(x,K(y,z)),u,w). a(K(x,K(y,z)),u,w) = 1. x != a(y,z,K(u,K(w,v5))) | x = K(y,K(u,a(w,z,v5))). 1 = K(x,K(y,a(z,u,w))). K(x,K(y,a(z,u,w))) = 1. a(x,y,z) * 1 = T(a(x,y,z),K(u,w)). T(a(x,y,z),K(u,w)) = a(x,y,z) * 1. L(K(x,y),z,K(u,w)) = K(x,y). x != a(K(y,z),u,w) | x = K(a(w,u,z),y). 1 = K(a(K(x,y),z,u),w). K(a(K(x,y),z,u),w) = 1. L(x,y,K(z,K(u,w))) = x. T(x,K(y,a(z,u,w))) = x. T(a(K(x,y),z,u),w) = a(K(x,y),z,u). (K(x,K(y,z)) * u) / w = K(x,K(y,z)) * (u / w). (x * (K(y,K(z,u)) * w)) \ (x * (K(y,K(z,u)) * (w * v5))) = L(v5,K(y,K(z,u)) * w,x). x \ (y * K(z,K(u,w))) = (x \ y) * K(z,K(u,w)). K(x,T(y,a(z,u,w))) = K(x,y). T(x,K(y,a(z,u,w) \ 1)) = x. x * K(y,a(z,u,w)) = K(y,a(z,u,w)) * x. K(x,a(y,z,u)) * w = w * K(x,a(y,z,u)). K(x,a(y,z,u) \ 1) * w = w * K(x,a(y,z,u) \ 1). T(x,a(y,z,K(u,w))) = x. (x * a(y,z,K(u,w))) / x = a(y,z,K(u,w)). x * a(y,z,K(u,w)) = a(y,z,K(u,w)) * x. a(x,y,K(z,u)) * w = w * a(x,y,K(z,u)). (a(x,y,K(z,u)) \ w) * a(x,y,K(z,u)) = w. K(x,L(y,z,K(u,w))) = K(x,y). K(L(x,y,K(z,u)),w) = K(x,w). K(x,(K(y,z) * u) \ w) = K(x,u \ (K(y,z) \ w)). K((K(x,y) * z) \ u,w) = K(z \ (K(y,x) * u),w). (K(x,y) * z) * K(u,w) = K(x,y) * (z * K(u,w)). (K(x,y) * z) * K(u,w) != v5 | K(x,y) * (z * K(u,w)) = v5. (K(x,y) * z) * L(K(u,w),v5,v6) = K(x,y) * (z * L(K(u,w),v5,v6)). L(K(x,y),z,L(K(u,w),v5,v6)) = K(x,y). L(K(x,y),z,u) * (w * K(v5,v6)) = (L(K(x,y),z,u) * w) * K(v5,v6). (L(K(x,y),z,u) * w) * K(v5,v6) = L(K(x,y),z,u) * (w * K(v5,v6)). (1 / a(x,y,z)) * K(u,w) = K(u,w) / a(x,y,z). K(x,(y \ K(z,u)) / w) = K(x,y \ (K(z,u) / w)). K((x * K(y,z)) \ ((x * u) * K(y,z)),w) = K(u * K(x,u),T(w,x)). T(x,L(K(y,z),u,w)) = K(y,K(z,x)) \ x. T(a(x,y,z),K(u,w)) = a(x,y,z). T(a(x,y,z),u) = T(a(x,y,z),T(u,w)). T(a(x,y,z),T(u,w)) = T(a(x,y,z),u). T(a(x,y,z),u / w) = T(a(x,y,z),w \ u). x * a(K(y,z),u,w) = a(K(y,z),u,w) * x. a(K(x,y),z,u) * w = w * a(K(x,y),z,u). K(x,(L(K(y,z),u,w) \ v5) \ v6) = K(x,v5 \ (L(K(y,z),u,w) * v6)). K(x,y) \ (z * L(K(u,w),v5,v6)) = (K(x,y) \ z) * L(K(u,w),v5,v6). K(a(x,y,z),u) * T(a(x,y,z) * K(u,a(x,y,z)),w) = T(a(x,y,z),w). x != K(y,K(z,u)) \ u | x = T(u,K(y,z)). T(x,L(K(y,z),u,w)) = T(x,K(y,z)). L(K(x,y),z,u) \ w = T(w / L(K(x,y),z,u),K(x,y)). T(x / L(K(y,z),u,w),K(y,z)) = L(K(y,z),u,w) \ x. T(x,K(y,L(z,u,w))) = T(x,K(y,z)). T(x,K(y,z)) * K(y,L(z,u,w)) = K(y,L(z,u,w)) * x. x \ T(y * T(x,K(z,u)),K(z,L(u,w,v5))) = T(y,K(L(u,w,v5),z) * x). K(x,T(a(y,z,u),w)) = K(x,a(y,z,u)). x != K(y,a(z,u,w)) | x = a(y,u,K(w,z)). K(x,T(a(y,z,u),w)) = a(x,z,K(u,y)). a(x,y,K(y \ (z \ 1),u)) != w | K(x,(z / u) / ((z * y) / (u * y))) = w. a(x,y,K(z,u)) * (w * K(w * a(x,y,K(z,u)),v5)) = T(w * a(x,y,K(z,u)),v5). a(x,y,K(z,u)) * w = w * a(z,y,K(u,x)). x != a(y,z,K(u,w)) * v5 | x = a(w,z,K(u,y)) \ v5. x * a(y,z,K(u,w)) = a(w,z,K(u,y)) \ x. a(x,y,K(z,u)) \ w = w * a(u,y,K(z,x)). K(x,y) * (z * a(x,u,K(w,y))) = L(K(x,y),u,w) * z. (a(x,y,K(z,u)) * w) * a(u,y,K(z,x)) = w. T(a(x,y,z),z \ (u / w)) = T(a(x,y,z),(w * z) \ u). T(a(x,y,z),(u * z) \ w) = T(a(x,y,z),z \ (w / u)). x != T(a(y,z,u \ 1),u / (y * z)) | x = a(y,z,u \ 1). T(a(x,y,z \ 1),(x * y) \ z) = a(x,y,z \ 1). x * y != z * a(K(u,w),v5,v6) | x \ (z * a(v6,v5,K(w,u))) = y. a(K(x,y),z,u) \ (w * a(u,z,K(y,x))) = w. x * y != (z * a(K(u,w),v5,v6)) * a(K(w,u),v5,v6) | x \ z = y. a(K(x,y),z,u) \ w = w * a(K(y,x),z,u). x != (y * z) * a(u,w,K(z,v5)) | x = y * T(z,a(u,w,v5)). a(x,y,K(z,u)) * (w * u) = w * T(u,a(z,y,x)). 1 * x != a(y,z,K(z \ (u \ 1),w)) \ 1 | x = u \ R(u,K(y,w),z). a(x,y,K(y \ (z \ 1),u)) = z \ R(z,K(u,x),y). a(x,y,K(z,u)) * (w \ 1) = (a(u,y,K(z,x)) * w) \ 1. (a(x,y,K(z,u)) * w) \ 1 = a(u,y,K(z,x)) * (w \ 1). a(x,y,z * K(u,K(w,v5))) = (x * (K(u,K(w,v5)) * (y * z))) \ ((x * y) * (z * K(u,K(w,v5)))). (x * (K(y,K(z,u)) * (w * v5))) \ ((x * w) * (v5 * K(y,K(z,u)))) = a(x,w,v5 * K(y,K(z,u))). K(x,K(y,z)) * (u * w) = u * (K(x,K(y,z)) * w). x != K(y,K(z,u)) * (w * v5) | x = w * (v5 * K(y,K(z,u))). (K(x,K(y,z)) * u) * w = u * (w * K(x,K(y,z))). (x * (K(y,K(z,u)) * w)) \ (x * (K(y,K(z,u)) * (w * v5))) != v6 | L(v5,K(y,K(z,u)) * w,x) = v6. (x * K(y,K(z,u))) \ w = K(y,K(z,u)) \ (x \ w). (K(x,K(y,z)) \ u) / w = K(x,K(y,z)) * (u / w). x \ (y * (z * K(u,K(w,v5)))) = (x \ (y * z)) * K(u,K(w,v5)). K(x,(y * K(z,u)) \ w) = K(x,y \ (K(z,u) \ w)). K(x,(y \ K(z,u)) * w) = K(x,y \ (K(u,z) \ w)). K(x,y \ (K(z,u) \ w)) = K(x,(y \ K(u,z)) * w). K(x,(K(y,z) \ u) \ w) = K(x,u \ (K(z,y) \ w)). x != K((K(y,z) * u) \ w,v5) | x = K((u * K(y,z)) \ w,v5). K(x \ (K(y,z) * u),w) = K((x * K(z,y)) \ u,w). K((x * K(y,z)) \ u,w) = K(x \ (K(z,y) * u),w). (K(x,y) * z) * K(u,T(w,z)) = K(x,y) * (K(u,w) * z). x * y != K(z,u / w) * w | (w * K(z,w \ u)) / y = x. ((x * K(y,z)) * K(u,(x * K(y,z)) \ w)) / K(y,z) = K(u,w / (x * K(y,z))) * x. (a(x,y,z) \ 1) * K(u,w) = K(u,w) / a(x,y,z). K(x,K(y,z)) \ (u * w) = u * (K(x,K(y,z)) * w). a(x,K(y,K(z,u)) * w,v5) = (x * (w * (v5 * K(y,K(z,u))))) \ ((x * (K(y,K(z,u)) * w)) * v5). (x * (y * (z * K(u,K(w,v5))))) \ ((x * (K(u,K(w,v5)) * y)) * z) = a(x,K(u,K(w,v5)) * y,z). (x * K(y,K(z,u))) * w = x * (w * K(y,K(z,u))). (x * (K(y,K(z,u)) * w)) * v5 = (x * w) * (v5 * K(y,K(z,u))). x != K(y,K(z,u)) \ w | x = w * K(y,K(z,u)). (x * K(y,K(z,u))) \ w = (x \ w) * K(y,K(z,u)). (K(x,K(y,z)) \ u) / w != v5 | K(x,K(y,z)) \ (u / w) = v5. x != K(y,z \ (K(u,w) \ v5)) | x = K(y,z \ (v5 * K(w,u))). K(x,(y * K(z,u)) \ w) = K(x,y \ (w * K(u,z))). K(x,y \ (z * K(u,w))) = K(x,(y \ K(u,w)) * z). K(x,(y \ K(z,u)) * w) != v5 | K(x,y \ (w * K(z,u))) = v5. K(x / (y * K(z,u)),w) = K(y \ (K(u,z) * x),T(w,y)). K(x \ (K(y,z) * u),T(w,x)) = K(u / (x * K(z,y)),w). x != K((y * K(z,u)) \ (y * w),v5) | x = K((w * y) / (K(z,u) * y),v5). K(x \ (K(y,z) * (x * u)),w) = K((u * x) / (K(z,y) * x),w). K((x * y) / (K(z,u) * y),w) = K(y \ (K(u,z) * (y * x)),w). K((x * K(y,z)) \ (L(K(u,z),w,v5) * v6),v7) = K(x \ ((K(z,y) * L(K(z,u) \ 1,w,v5)) * v6),v7). K(x \ ((K(y,z) * L(K(y,u) \ 1,w,v5)) * v6),v7) = K((x * K(z,y)) \ (L(K(u,y),w,v5) * v6),v7). a(x,y,z) \ K(u,w) = K(u,w) / a(x,y,z). K(x,y) / a(z,u,w) = a(z,u,w) \ K(x,y). x * (y * (1 / (x * y))) = a(x,y,1 / (x * y)) \ K(x * y,y \ (x \ 1)). a(x,y,1 / (x * y)) \ K(x * y,y \ (x \ 1)) = x * (y * (1 / (x * y))). (x * K(y,K(z,u))) * w = x * (K(y,K(z,u)) * w). (K(x,K(y,z)) * u) \ w = (u \ w) * K(x,K(y,z)). K(x,y \ (z * K(u,w))) != v5 | K(x,(K(w,u) * y) \ z) = v5. x != K(y,z \ ((1 / u) * K(w,v5))) | x = K(y,z \ (((1 / 1) * u) \ K(w,v5))). K(x,(y \ K(z,u)) * (1 / w)) = K(x,y \ (((1 / 1) * w) \ K(z,u))). K(x,y \ (((1 / 1) * z) \ K(u,w))) = K(x,(y \ K(u,w)) * (1 / z)). K(x,(y \ K(z,u)) * w) != v5 | K(x,y \ (K(z,u) * w)) = v5. R(x,K(y,K(z,u)),w) = x. L(x,K(y,K(z,u)),w) = x. x / y = (x / (K(z,K(u,w)) * y)) * K(z,K(u,w)). (x / (K(y,K(z,u)) * w)) * K(y,K(z,u)) = x / w. (x * (K(y,K(z,u)) * w)) \ ((x * K(y,K(z,u))) * (w * v5)) != v6 | L(v5,w,x * K(y,K(z,u))) = v6. ((x * y) * (K(z,K(u,w)) * v5)) / ((y * K(z,K(u,w))) * v5) = R(x,R(y,K(z,K(u,w)),v5),K(z,K(u,w)) * v5). (x * (K(y,K(z,u)) * w)) \ ((x * K(y,K(z,u))) * (w * v5)) = L(v5,L(w,K(y,K(z,u)),x),K(y,K(z,u)) * x). (x * (K(y,K(z,u)) * w)) \ v5 = ((x * w) \ v5) * K(y,K(z,u)). x * y != (z / (K(u,K(w,v5)) * v6)) * K(u,K(w,v5)) | x \ (z / v6) = y. K(x,K(y,z)) \ (u / w) = u / (K(x,K(y,z)) * w). x / (K(y,K(z,u)) * w) = K(y,K(z,u)) \ (x / w). x / y = K(z,K(u,w)) \ (x / (K(z,K(u,w)) \ y)). K(x,K(y,z)) \ (u / (K(x,K(y,z)) \ w)) = u / w. x * (1 / y) != (1 / y) * K(y \ z,u) | x = K(z / y,u). K(x \ y,a(z,u,w) \ 1) = K(y / x,a(z,u,w) \ 1). K(x / y,a(z,u,w) \ 1) = K(y \ x,a(z,u,w) \ 1). T(x * K(L(y,z,u),w),K(w,y)) = L(K(w,y),z,u) \ x. (x * K(y,z)) * K(z,L(y,u,w)) = K(z,L(y,u,w)) * (K(y,z) * x). K(x,L(y,z,u)) * (K(y,x) * w) = (w * K(y,x)) * K(x,L(y,z,u)). x * y != L(x,z,u) * (x * w) | y = L(x,z,u) * w. (K(x,y) * z) * a(x,u,K(w,y)) = L(K(x,y),u,w) * z. L(K(x,y),z * a(x,u,K(w,y)),v5) \ ((L(K(x,y),u,w) * z) * v5) = (z * a(x,u,K(w,y))) * v5. T(a(x,y,z),z \ (u \ w)) = T(a(x,y,z),z \ (w / u)). T(a(x,y,z),z \ (u / w)) = T(a(x,y,z),z \ (w \ u)). a(x,y,K(z,u)) * (w \ 1) = w \ (a(u,y,K(z,x)) \ 1). x \ (a(y,z,K(u,w)) \ 1) = a(w,z,K(u,y)) * (x \ 1). K(x,y) * (K(z,u) * w) = K(z,u) * (K(x,y) * w). K(x,y) * (T(z,u) * w) = K(z,u) * (K(x,y) * (z * w)). K(x,y) * (K(z,u) * (x * w)) = K(z,u) * (T(x,y) * w). K(x / (y * K(z,u)),w) != v5 | K((K(u,z) * x) / y,w) = v5. x != K((y / z) / u,a(u,z,y \ 1) \ 1) | x = (a(u,z,y \ 1) \ 1) \ ((y / (u * z)) / ((y / z) / u)). K(x \ (y / z),a(x,z,y \ 1) \ 1) = (a(x,z,y \ 1) \ 1) \ ((y / (x * z)) / ((y / z) / x)). (a(x,y,z \ 1) \ 1) \ ((z / (x * y)) / ((z / y) / x)) = K(x \ (z / y),a(x,y,z \ 1) \ 1). ((x / y) / z) * ((x / (z * y)) \ K(z \ (x / y),a(z,y,x \ 1) \ 1)) = (((x / y) / z) \ (x / (z * y))) \ 1. x * y != T(z * K(L(u,w,v5),v6),K(v6,u)) | x \ (L(K(v6,u),w,v5) \ z) = y. K(x,y) \ (L(K(y,x),z,u) \ w) = (w * K(L(x,z,u),y)) * K(y,x). x \ (a(y,z,K(u,w)) * 1) = a(y,z,K(u,w)) * (x \ 1). (K(x,y) * (T(z,u) * w)) \ (K(z,u) * ((K(x,y) * z) * w)) = L(a(K(x,y),z,w),K(x,y) * (z * w),K(z,u)). x \ a(y,z,K(u,w)) = a(y,z,K(u,w)) * (x \ 1). a(x,y,K(z,u)) * (w \ 1) = w \ a(x,y,K(z,u)). K(x,(y \ a(z,u,K(w,v5))) * v6) = K(x,(y * a(v5,u,K(w,z))) \ v6). K(x,(y * a(z,u,K(w,v5))) \ v6) = K(x,(y \ a(v5,u,K(w,z))) * v6). K((x * K(y,z)) \ ((x * u) * K(y,z)),w) = K(u,T(T(w,x),x)). K((x * K(y,z)) \ ((x * u) * K(y,z)),w) != v5 | K(u,w) = v5. K(x,(L(K(y,z),u,w) \ v5) \ (L(K(y,z),u,w) \ v6)) = K(x,v5 \ v6). K(x,(L(K(y,z),u,w) * v5) \ v6) = K(x,v5 \ (L(K(z,y),u,w) * v6)). x != K(y,z * (1 / u)) | x = K(y,z / u). K(x,y \ (((1 / 1) * z) \ K(u,w))) = K(x,(y \ K(u,w)) / z). x != K(y,(z \ K(u,w)) / v5) | x = K(y,z \ (K(u,w) / v5)). K(x,y \ (((1 / 1) * z) \ K(u,w))) = K(x,y \ (K(u,w) / z)). K(x,y \ ((1 * z) \ K(u,w))) = K(x,y \ (K(u,w) / z)). K(x,y \ (z \ K(u,w))) = K(x,y \ (K(u,w) / z)). K(x,y \ (K(z,u) / w)) = K(x,y \ (w \ K(z,u))). x != K(y,z \ (K(u,w) / v5)) | x = K(y,(z \ K(u,w)) / v5). K(x,y \ (z \ K(u,w))) = K(x,(y \ K(u,w)) / z). K(x,(y \ K(z,u)) / w) = K(x,y \ (w \ K(z,u))). x != (y * K(z,u)) * K(u,w) | x = y * (K(z,u) * K(u,w)). K(x,L(y,z,u)) * (K(y,x) * w) = w * (K(y,x) * K(x,L(y,z,u))). K(x,(y * L(K(z,u),w,v5)) \ v6) = K(x,y \ (L(K(u,z),w,v5) * v6)). K(x,((K(y,z) \ u) * L((K(y,z) \ u) \ u,w,v5)) \ v6) = K(x,(K(y,z) \ u) \ (L(K(z,y),w,v5) * v6)). K(T(x,y),L(z,u,w)) * (y * K(z,x)) = y * (K(z,T(x,y)) * K(T(x,y),L(z,u,w))). x * (K(y,T(z,x)) * K(T(z,x),L(y,u,w))) = K(T(z,x),L(y,u,w)) * (x * K(y,z)). (x * K(y,z \ (L(K(u,w),v5,v6) * v7))) \ x = K((z * L(K(w,u),v5,v6)) \ v7,y). x != T(a(y,z,u),w) | x = a(y,z,K(u,w)) * a(y,z,u). K(a(x,y,z),u) * T(a(x,y,z) * K(u,a(x,y,z)),w) = a(x,y,K(z,w)) * a(x,y,z). x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(L(u,w,v5),z) * x). T(x,K(L(y,z,u),w) * v5) = v5 \ T(x * T(v5,K(w,y)),K(w,y)). T(x,K(L(y,z,u),w) * v5) = T(x,K(y,w) * v5). T(x,y * K(L(z,u,w),v5)) = T(x,K(z,v5) * y). T(x,K(y,L(z,u,w)) \ v5) = T(x,K(z,y) * v5). T(x,y * L(K(z,u),w,v5)) = T(x,K(z,u) * y). T(x,y * K(z,L(u,w,v5))) = T(x,K(z,u) * y). T(x,L(K(y,z),u,w) \ v5) = T(x,K(z,y) * v5). T(x,(y / K(z,u)) * L(K(z,u),w,v5)) = T(x,y * K(K(z,u),K(z,u) \ y)). x * y != T(z,u * K(w,L(v5,v6,v7))) | T(z,K(w,v5) * u) / y = x. T(x,K(y,z) * u) / x = K(x,u * K(y,L(z,w,v5))). K(x,y * K(z,L(u,w,v5))) = T(x,K(z,u) * y) / x. T(x,y \ T(z,L(u,w,v5))) = T(x,K(z,u) * (y \ z)). T(x,L(K(y,z),u,w) \ v5) = T(x,K(y,z) \ v5). x * y != T(z,L(K(u,w),v5,v6) \ v7) | x \ T(z,K(u,w) \ v7) = y. x \ T(x,K(y,z) \ u) = K(x,L(K(y,z),w,v5) \ u). K(x,L(K(y,z),u,w) \ v5) = x \ T(x,K(y,z) \ v5). K(x,y * K(z,L(u,w,v5))) = K(x,K(z,u) * y). K(x,K(y,L(z,u,w)) * v5) = K(x,K(y,z) * v5). x != T(y,K(z,u) * (w \ z)) | x = T(y,w \ T(z,u)). T(x,y \ T(z,L(u,w,v5))) = T(x,y \ T(z,u)). x != T(y,R(T(z,u),w,v5) \ T(z,L(u,w,v5))) | x = T(y,R(z,w,v5) \ z). T(x,R(T(y,z),u,w) \ T(y,z)) = T(x,R(y,u,w) \ y). K(x,L(K(y,z),u,w) \ v5) = K(x,K(y,z) \ v5). K(x,L(K(y,z),u,w) \ v5) != v6 | K(x,K(y,z) \ v5) = v6. K(x,K(L(y,z,u),w) \ v5) != v6 | K(x,K(w,y) \ v5) = v6. x * (y * (1 / (x * y))) = (a(x,y,1 / (x * y)) \ (x * y)) * (1 / (x * y)). (a(x,y,1 / (x * y)) \ (x * y)) * (1 / (x * y)) = x * (y * (1 / (x * y))). T(x,(y * K(z,u)) * L(K(u,z),w,v5)) = T(x,y * K(K(u,z),K(u,z) \ y)). T(x,y * (K(z,u) * L(K(u,z),w,v5))) = T(x,y * K(K(u,z),K(u,z) \ y)). T(x,y * K(K(z,u),K(z,u) \ y)) = T(x,y * (K(u,z) * L(K(z,u),w,v5))). T(x,y * K(K(z,u),K(u,z) * y)) = T(x,y * (K(u,z) * L(K(z,u),w,v5))). T(x,y * K(z,K(u,K(u,z) * y))) = T(x,y * (K(u,z) * L(K(z,u),w,v5))). x != T(y,z * K(u,K(w,v5))) | x = T(y,z). T(x,y * (K(z,u) * L(K(u,z),w,v5))) = T(x,y). T(x,y * a(z,u,K(w,v5))) = T(x,y). (x * a(y,z,K(u,w))) * K(v5,T(v6,x)) != v7 | K(v5,v6) * (x * a(y,z,K(u,w))) = v7. K((T(x,y) \ (y * a(z,u,K(w,v5)))) \ 1,v6) = K(((y * a(z,u,K(w,v5))) / x) \ 1,v6). T(x,T(y,z)) = T(x,T(y,a(u,w,K(v5,v6)) * z)). T(x,T(y,a(z,u,K(w,v5)) * v6)) = T(x,T(y,v6)). T(x,y) \ T(T(x,z),T(y,a(u,w,K(v5,v6)) * z)) = K(x,z * a(u,w,K(v5,v6))). K(x \ (L(K(y,z),u,w) * v5),v6) = K((x * L(K(z,y),u,w)) \ v5,v6). K((x * L(K(y,z),u,w)) \ v5,v6) = K(x \ (L(K(z,y),u,w) * v5),v6). x != K((y * L(K(z,u),w,v5)) \ v6,v7) | x = K(((y \ v6) * y) / T(L(K(z,u),w,v5) * y,K(v8,v9)),v7). K(x \ (L(K(y,z),u,w) * v5),v6) = K(((x \ v5) * x) / T(L(K(z,y),u,w) * x,K(v7,v8)),v6). K(((x \ y) * x) / T(L(K(z,u),w,v5) * x,K(v6,v7)),v8) = K(x \ (L(K(u,z),w,v5) * y),v8). T(x,y) \ T(T(x,z),T(y,z)) = K(x,z * a(u,w,K(v5,v6))). K(x,y * a(z,u,K(w,v5))) = T(x,v6) \ T(T(x,y),T(v6,y)). x != T(y,z) \ T(T(y,u),T(z,u)) | x = K(y,u). K(x,y * a(z,u,K(w,v5))) = K(x,y). (x * K(y,z)) \ x = K(z * a(u,w,K(v5,v6)),y). K(x * a(y,z,K(u,w)),v5) = (v6 * K(v5,x)) \ v6. K(x * a(y,z,K(u,w)),v5) = K(x,v5). (x * y) / T(x * a(z,u,K(w,x)),y) = K(x,a(z,u,w) * x) * y. K(a(x,y,K(z,u)) * w,v5) = K(w,v5). (x * y) / T(x * a(z,u,K(w,x)),y) = K(x,x * a(z,u,w)) * y. (x * y) / T(x * a(z,u,K(w,x)),y) = a(x,u,K(w,z)) * y. a(x,y,K(z,u)) * (w * K(w,v5)) = T(w * a(x,y,K(z,u)),v5). a(x,y,K(z,u)) * T(w,v5) = T(w * a(x,y,K(z,u)),v5). T(x * a(y,z,K(u,w)),v5) = a(y,z,K(u,w)) * T(x,v5). x \ (y * T((a(z,u,K(w,v5)) * (y \ x)) * a(v5,u,K(w,z)),v6)) = K((x \ (y * a(v5,u,K(w,z)))) \ 1,v6). K(x,T(L(y,z,u),w)) * (w * K(y,x)) = w * (K(y,T(x,w)) * K(T(x,w),L(y,z,u))). x * (K(y,T(z,x)) * K(T(z,x),L(y,u,w))) = K(z,T(L(y,u,w),x)) * (x * K(y,z)). x * (K(y,T(z,x)) * K(T(z,x),L(y,u,w))) = K(z,L(T(y,x),u,w)) * (x * K(y,z)). (K(x,K(y,z)) \ (u * w)) \ (u * (K(x,K(y,z)) * (w * v5))) = L(v5,K(x,K(y,z)) * w,u). a(x,y,K(z,T(u,w))) = a(x,y,K(z,u)). x != a(y,z,K(u,w)) | x = a(u,z,K(w,y)). a(x,y,K(z,T(u,w))) = a(z,y,K(u,x)). x != a(y,z,K(u,T(w,v5))) | x = a(T(y,v5),z,K(u,w)). a(x,y,K(z,u)) = a(T(x,w),y,K(z,u)). a(T(x,y),z,K(u,w)) = a(x,z,K(u,w)). x != a(y,z,K(z \ (u \ 1),T(w,y \ u))) | x = K((u / y) / ((u * z) / (y * z)),w). a(x,y,K(y \ (z \ 1),u)) = K((z / x) / ((z * y) / (x * y)),u). K((x / y) / ((x * z) / (y * z)),u) = a(y,z,K(z \ (x \ 1),u)). a(x,y,K(z,u \ w)) = a(x,y,K(z,w / u)). a(x,y,K(z,u / w)) = a(x,y,K(z,w \ u)). a(x,y,K(z,u * w)) = a(z,y,K(w * u,x)). a(x,y,K(z * u,w)) = a(w,y,K(x,u * z)). a(x,y,K(z,T(u,w))) != v5 | a(x,y,K(z,u)) = v5. x != a(T(y / (1 / z),u),(1 / T(y * z,u)) * y,K(w,v5)) | x = a(T(y / (1 / z),u),y,K(w,v5)). a(x / (1 / y),(1 / T(x * y,z)) * x,K(u,w)) = a(T(x / (1 / y),z),x,K(u,w)). x != a(T(y,z),z \ (y \ 1),K(u,w)) | x = a(T(y,z),z \ 1,K(u,w)). a(x,y \ (x \ 1),K(z,u)) = a(T(x,y),y \ 1,K(z,u)). a(T(x,y),y \ 1,K(z,u)) = a(x,y \ (x \ 1),K(z,u)). a(x \ y,z,K(u,w)) = a(y / x,z,K(u,w)). a(x / y,z,K(u,w)) = a(y \ x,z,K(u,w)). a((x \ y) \ y,z,K(u,w)) = a(x,z,K(u,w)). a((x \ 1) \ (y \ 1),z,K(u,w)) = a(y \ x,z,K(u,w)). a(x,y,K(z,x \ (u / w))) = a(x,y,K(z,w \ (x \ u))). a(x,y,K(z,u \ (x \ w))) = a(x,y,K(z,x \ (w / u))). a(x,y,K(z,x \ (u / w))) = a(x,y,K(z,(w * x) \ u)). a(x,y,K(z,(u * x) \ w)) = a(x,y,K(z,x \ (w / u))). x != a(y,z,K(u * w,v5)) | x = a(v5,z,K(w \ (u \ 1),y)). a(x,y,K(z,u * w)) = a(x,y,K(u \ (w \ 1),z)). a(x,y,K(z \ (u \ 1),w)) = a(x,y,K(w,z * u)). a(x,y,K(z / u,w)) != v5 | a(x,y,K(u \ z,w)) = v5. a(T(x,y),z,K(u,w)) != v5 | a(x,z,K(u,w)) = v5. a(x \ y,z,K(u,w)) != v5 | a(y / x,z,K(u,w)) = v5. a((x \ y) \ y,z,K(u,w)) != v5 | a(x,z,K(u,w)) = v5. a(x,y,K(z,u \ (w \ 1))) = a(z,y,K(x,u * w)). a(x,y \ 1,K(z,u)) = a(x,y \ (x \ 1),K(z,u)). a(x,y \ (x \ 1),K(z,u)) = a(x,y \ 1,K(z,u)). x != a((y \ 1) \ z,u,K(w,v5)) | x = a(y * z,u,K(w,v5)). a(x \ y,z,K(u,w)) = a(y * (x \ 1),z,K(u,w)). a(x * (y \ 1),z,K(u,w)) = a(y \ x,z,K(u,w)). a((x * (y \ 1)) \ (z \ 1),u,K(w,v5)) = a(z \ (y / x),u,K(w,v5)). x != a((T(y,z) \ 1) * (z \ 1),u,K(w,v5)) | x = a(z \ (y \ 1),u,K(w,v5)). a(x \ (T(y,x) \ 1),z,K(u,w)) = a(x \ (y \ 1),z,K(u,w)). a(x * y,z,K(u,w)) = a((1 / y) \ x,z,K(u,w)). a((1 / x) \ y,z,K(u,w)) = a(y * x,z,K(u,w)). a(x \ 1,y,K(z,u)) = a(w \ (x \ w),y,K(z,u)). a(x \ (y \ x),z,K(u,w)) = a(y \ 1,z,K(u,w)). a(x,y,z) * a(u \ w,y,K(z,x)) = T(a(x,y,z),a(x,y,z) \ (u / w)). T(a(x,y,z),a(x,y,z) \ (u / w)) = a(x,y,z) * a(u \ w,y,K(z,x)). a(x / (1 / y),z,K(u,w)) = a(x * y,z,K(u,w)). a(x,y,K(z,x \ (u \ w))) = a(x,y,K(z,x \ (w / u))). a(x,y,K(z,x \ (u / w))) = a(x,y,K(z,x \ (w \ u))). x != a(y,z,K(u,y \ (w / v5))) | x = a(y,z,K(u,v5 \ (y \ w))). a(x,y,K(z,x \ (u \ w))) = a(x,y,K(z,u \ (x \ w))). a(x,y,K(z,u \ (x \ w))) = a(x,y,K(z,x \ (u \ w))). a(x,y,K(z,x \ (u \ w))) * a(x,y,z) = T(a(x,y,z),x \ (w / u)). a(x,y,K(z,u \ (x \ w))) = a(x \ (u \ w),y,K(x,z)). a(x \ (y \ z),u,K(x,w)) = a(x,u,K(w,y \ (x \ z))). a(x,y,K(z,u \ w)) = a(x,y,K(z,x \ (u \ (x * w)))). a(x,y,K(z,x \ (u \ (x * w)))) = a(x,y,K(z,u \ w)). a(x,y,K(z,x \ (u \ w))) * a(x,y,z) = T(a(x,y,z),u \ (x \ w)). a(x,y,K(z,x \ (u \ w))) != v5 | a(u \ (x \ w),y,K(x,z)) = v5. x != a(y \ (z \ 1),u,K(y,w)) | x = v5 / (a(w,u,y * (K(z,y) / y)) * v5). a(x,y,K(z,u \ (x \ 1))) = w / (a(z,y,x * (K(u,x) / x)) * w). x / (a(y,z,u * (K(w,u) / u)) * x) = a(u,z,K(y,w \ (u \ 1))). x != a(y \ (T(z,y) \ 1),u,K(w,v5)) | x = a(w,u,K(v5,z \ (y \ 1))). a(x \ (y \ 1),z,K(u,w)) = a(u,z,K(w,y \ (x \ 1))). x / (a(y,z,K(u,w)) * x) = a(w,z,K(y,u \ (w \ 1))). a(x,y,K(z,u \ (x \ 1))) = w / (a(z,y,K(u,x)) * w). x != y / (a(z,u,K(w,v5)) * y) | x = a(v5,u,K(w,z)). a(x,y,K(z,u \ (x \ 1))) = a(x,y,K(u,z)). a(x,y,K(z,x \ (u \ w))) = a(x,y,K(w \ u,z)). a(x \ (y \ z),u,K(y,w)) = a(y,u,K(z \ x,w)). x != a(y,z,K(u,y \ (w \ v5))) | x = a(y,z,K(u,(w * y) \ v5)). a(x,y,K(z \ u,w)) = a(x,y,K(w,(u * x) \ z)). a(x,y,K(z,(u * x) \ w)) = a(x,y,K(w \ u,z)). x != a(y,z,K(u,y \ (w \ (y * v5)))) | x = a(y,z,K(u,w \ v5)). a(x,y,K((x * z) \ u,w)) = a(x,y,K(w,u \ z)). a(x \ 1,y,K(z,u)) = a(z,y,K(z \ x,u)). x != a(y,z,K((y * u) \ w,v5)) | x = a(v5,z,K(y,u \ (y \ w))). a(x,y,K(z,u \ w)) = a(z,y,K(x,w \ (x \ u))). a(x,y,K(z,u \ (z \ w))) = a(z,y,K(x,w \ u)). a(x,y,K(z,K(u,w) * (z \ v5))) = a(z,y,K(x,v5 \ K(w,u))). a(x,y,K(z,z \ (u \ w))) = a(z,y,K(x,w \ u)). a(x,y,K(z \ 1,(u \ w) * z)) = a(z \ 1,y,K(x,w \ u)). a(x,y,K(z \ 1,(u * T(T(w,w \ 1),v5)) * z)) = a(z \ 1,y,K(x,K(w,v5) \ (w \ (1 / u)))). T(a(x,y,z),x \ (u / w)) != v5 | T(a(x,y,z),x \ (w \ u)) = v5. T(a(x,y,z),u \ (x \ w)) != v5 | T(a(x,y,z),x \ (u \ w)) = v5. a(x,y,K(z \ u,w)) * a(x,y,w) = T(a(x,y,w),u \ (x \ z)). x != a(y,z,K(u,w)) * a(y,z,w) | x = T(a(y,z,w),w \ (u \ 1)). T(a(x,y,z),u \ (x \ w)) = T(a(x,y,z),z \ ((w \ u) \ 1)). x != T(y,z \ ((u \ w) \ 1)) | x = T(y,z \ ((w \ 1) * u)). T(a(x,y,z),u \ (x \ w)) = T(a(x,y,z),z \ ((u \ 1) * w)). T(a(x,y,z),a(x,y,z) \ (u / w)) = T(a(x,y,z),z \ ((u \ w) \ 1)). T(a(x,y,z),a(x,y,z) \ (u / w)) = T(a(x,y,z),z \ ((w \ 1) * u)). x != T(a(y,z,u),a(y,z,u) \ w) | x = T(a(y,z,u),u \ w). T(a(x,y,z),z \ ((u \ 1) * w)) = T(a(x,y,z),z \ (w / u)). x != T(a(y,z,u),u \ (w / v5)) | x = T(a(y,z,u),u \ (v5 \ w)). T(a(x,y,z),z \ ((u \ 1) * w)) = T(a(x,y,z),z \ (u \ w)). x != T(a(y,z,u),u \ ((w \ 1) * v5)) | x = T(a(y,z,u),w \ (y \ v5)). T(a(x,y,z),z \ (u \ w)) = T(a(x,y,z),u \ (x \ w)). T(a(x,y,z),u \ (x \ w)) = T(a(x,y,z),z \ (u \ w)). x != a(y / (1 / z),u,K(w,v5)) | x = a(y * z,u,K(w,v5)). a(T(x / (1 / y),z),x,K(u,w)) = a(x * y,(1 / T(x * y,z)) * x,K(u,w)). a(x * y,(1 / T(x * y,z)) * x,K(u,w)) = a(T(x / (1 / y),z),x,K(u,w)). x != a(T(y,z),u,K(w,v5)) | x = a(y,u,K(w,v5)). a(x * y,(1 / T(x * y,z)) * x,K(u,w)) = a(x / (1 / y),x,K(u,w)). a(x * y,(1 / T(x * y,z)) * x,K(u,w)) = a(x * y,x,K(u,w)). (K(x,K(y,z)) \ (u * w)) \ (K(x,K(y,z)) \ (u * (w * v5))) = L(v5,K(x,K(y,z)) * w,u). x != (K(y,z) \ (u * w)) \ (K(y,z) \ (u * (w * v5))) | x = L(L(v5,w,u),u * w,K(z,y)). L(x,K(y,K(z,u)) * w,v5) = L(L(x,w,v5),v5 * w,K(K(z,u),y)). L(L(x,y,z),z * y,K(K(u,w),v5)) = L(x,K(v5,K(u,w)) * y,z). L(L(x,y,z),z * y,K(u,K(w,v5))) = L(x,K(v5,K(u,w)) * y,z). x != L(y,z,K(u,K(w,v5))) | x = y. L(x,K(y,K(z,u)) * w,v5) = L(x,w,v5). x != K(y / T(z,K(u,w)),v5) | x = K(y / z,v5). K(x \ (L(K(y,z),u,w) * v5),v6) = K(((x \ v5) * x) / (L(K(z,y),u,w) * x),v6). K(((x \ y) * x) / (L(K(z,u),w,v5) * x),v6) = K(x \ (L(K(u,z),w,v5) * y),v6). x != y \ (z * (u * K(w,K(v5,v6)))) | x = (y \ (z * u)) * K(w,K(v5,v6)). a(x,y,z * K(u,K(w,v5))) = ((x * (K(u,K(w,v5)) * (y * z))) \ ((x * y) * z)) * K(u,K(w,v5)). ((x * (K(y,K(z,u)) * (w * v5))) \ ((x * w) * v5)) * K(y,K(z,u)) = a(x,w,v5 * K(y,K(z,u))). (x * (y * (z * K(u,K(w,v5))))) \ ((x * y) * (z * K(u,K(w,v5)))) = a(x,K(u,K(w,v5)) * y,z). (((x * (y * z)) \ ((x * y) * z)) * K(u,K(w,v5))) * K(u,K(w,v5)) = a(x,y,z * K(u,K(w,v5))). a(x,y,z * K(u,K(w,v5))) = a(x,K(u,K(w,v5)) * y,z). a(x,K(y,K(z,u)) * w,v5) = a(x,w,v5 * K(y,K(z,u))). (a(x,y,z) * K(u,K(w,v5))) * K(u,K(w,v5)) = a(x,y,z * K(u,K(w,v5))). a(x,y,z) * (K(u,K(w,v5)) * K(u,K(w,v5))) = a(x,y,z * K(u,K(w,v5))). a(x,y,z) * 1 = a(x,y,z * K(u,K(w,v5))). a(x,y,z * K(u,K(w,v5))) = a(x,y,z) * 1. a(x,y,z * K(u,K(w,v5))) = a(x,y,z). a(x,y,z * K(u,K(w,v5))) != v6 | v6 = a(x,y,z). a(x,y,z * K(u,K(w,v5))) != v6 | a(x,y,z) = v6. x != a(y,z,u * K(w,K(v5,v6))) | x = a(y,K(w,K(v5,v6)) * z,u). a(x,y,z) = a(x,K(u,K(w,v5)) * y,z). a(x,K(y,K(z,u)) * w,v5) = a(x,w,v5). a(x,y * K(z,u),w) = a(x,K(z,u) * y,w). a(x,K(y,z) * u,w) = a(x,u * K(y,z),w). a(x,y * K(z,u),K(w,v5)) != v6 | a(v5,K(z,u) * y,K(x,w)) = v6. K(x,y) \ ((L(K(x,y),z,u) * w) * K(v5,v6)) = (w * a(x,z,K(u,y))) * K(v5,v6). K(x,y) \ (L(K(x,y),z,u) * (w * K(v5,v6))) = (w * a(x,z,K(u,y))) * K(v5,v6). K(x,y) * (L(K(y,x),z,u) * (w * K(v5,v6))) = (w * a(y,z,K(u,x))) * K(v5,v6). T(x * a(y,z,K(u,w)),K(y,w)) = L(K(y,w),z,u) * (x * K(w,y)). a(x,y,K(z \ 1,(u * T(w,v5)) * z)) = a(z \ 1,y,K(x,K(w,v5) \ (w \ (1 / u)))). a(x \ 1,y,K(z,K(u,w) \ (u \ (1 / v5)))) = a(z,y,K(x \ 1,(v5 * T(u,w)) * x)). a(x \ 1,y,K(z,K(u,w) \ (u \ (1 / v5)))) = a(z,y,K(x \ 1,v5 * (T(u,w) * x))). K(x,((K(y,z) * u) * L((K(z,y) \ u) \ u,w,v5)) \ v6) = K(x,(K(z,y) \ u) \ (L(K(y,z),w,v5) * v6)). K(x,((K(y,z) * u) * L(K(z,T(y,u)),w,v5)) \ v6) = K(x,(K(z,y) \ u) \ (L(K(y,z),w,v5) * v6)). K(x,(K(y,z) * (u * L(K(z,T(y,u)),w,v5))) \ v6) = K(x,(K(z,y) \ u) \ (L(K(y,z),w,v5) * v6)). K(x,(K(y,z) * (L(K(z,y),u,w) * v5)) \ v6) = K(x,(K(z,y) \ v5) \ (L(K(y,z),u,w) * v6)). K(x,(a(y,z,K(u,w)) * v5) \ v6) = K(x,(K(y,w) \ v5) \ (L(K(w,y),z,u) * v6)). K(x,(K(y,z) \ u) \ (L(K(z,y),w,v5) * v6)) = K(x,(a(y,w,K(v5,z)) * u) \ v6). x \ (y * T(y \ x,z)) = K((x \ (y * a(u,w,K(v5,v6)))) \ 1,z). K((x \ (y * a(z,u,K(w,v5)))) \ 1,v6) = x \ (y * T(y \ x,v6)). x != y \ (z * T(z \ y,u)) | x = K((y \ z) \ 1,u). K((x \ (y * a(z,u,K(w,v5)))) \ 1,v6) = K((x \ y) \ 1,v6). x != K((T(y,z) \ (z * a(u,w,K(v5,v6)))) \ 1,v7) | x = K(((z * a(u,w,K(v5,v6))) / y) \ 1,v7). K((T(x,y) \ y) \ 1,z) = K(((y * a(u,w,K(v5,v6))) / x) \ 1,z). x != K((T(y,z) \ z) \ 1,u) | x = K((z / y) \ 1,u). K(((x * a(y,z,K(u,w))) / v5) \ 1,v6) = K((x / v5) \ 1,v6). K(x / (y * a(z,u,K(w,v5))),v6) = K((y / x) \ 1,v6). K(x / (y * a(z,u,K(w,v5))),v6) = K(x / y,v6). K(x / (L(K(y,z),u,w) * v5),v6) = K(x / (K(y,z) * v5),v6). x != K(((y \ z) * y) / (L(K(u,w),v5,v6) * y),v7) | x = K(y \ (L(K(w,u),v5,v6) * z),v7). K(((x \ y) * x) / (K(z,u) * x),w) = K(x \ (L(K(u,z),v5,v6) * y),w). K(x \ (L(K(y,z),u,w) * v5),v6) = K(((x \ v5) * x) / (K(z,y) * x),v6). x != K((y * z) / (K(u,w) * z),v5) | x = K(z \ (K(w,u) * (z * y)),v5). K(x \ (L(K(y,z),u,w) * v5),v6) = K(x \ (K(y,z) * (x * (x \ v5))),v6). K(x \ (L(K(y,z),u,w) * v5),v6) = K(x \ (K(y,z) * v5),v6). x != K((y * K(z,u)) \ (L(K(w,u),v5,v6) * v7),v8) | x = K(y \ ((K(u,z) * L(K(u,w) \ 1,v5,v6)) * v7),v8). K((x * K(y,z)) \ (K(u,z) * w),v5) = K(x \ ((K(z,y) * L(K(z,u) \ 1,v6,v7)) * w),v5). K(x \ ((K(y,z) * L(K(y,u) \ 1,w,v5)) * v6),v7) = K((x * K(z,y)) \ (K(u,y) * v6),v7). x != K((y * K(z,u)) \ w,v5) | x = K(y \ (K(u,z) * w),v5). K(x \ ((K(y,z) * L(K(y,u) \ 1,w,v5)) * v6),v7) = K(x \ (K(y,z) * (K(u,y) * v6)),v7). K(x \ ((K(y,z) * L(K(y,z) \ 1,u,w)) * v5),v6) = K(x \ v5,v6). K(x \ ((K(y,z) * L(K(z,y),u,w)) * v5),v6) = K(x \ v5,v6). K(x \ (a(y,z,K(u,w)) * v5),v6) = K(x \ v5,v6). K(x \ ((y * z) * K(u,w)),v5) = K(x \ (y * (z * K(u,w))),v5). K(x,y) = K((z * K(u,w)) \ (z * (x * K(u,w))),y). K((x * K(y,z)) \ (x * (u * K(y,z))),w) = K(u,w). K(L(T(x,K(y,z)),K(y,z),u),w) = K(x,w). K(L(x,K(y,z),u),T(w,K(y,z))) = K(x,w). K(L(x,K(y,z),u),w) = K(x,w). L(K(x,y),K(z,u),w) = K(x,y). x != K(L((y \ z) * K(u,w),K(w,u),y),v5) | x = K((y * K(w,u)) \ z,v5). K((x \ y) * K(z,u),w) = K((x * K(u,z)) \ y,w). K((x * K(y,z)) \ u,w) = K((x \ u) * K(z,y),w). x != K(L((y / z) * K(u,w),K(w,u),z),v5) | x = K(y / (K(u,w) \ z),v5). K((x / y) * K(z,u),w) = K(x / (K(z,u) \ y),w). K(x / (K(y,z) \ u),w) = K((x / u) * K(y,z),w). K(x,y) * ((K(z,u) * x) * w) = (K(z,u) * T(x,y)) * w. x != L(K(y,z \ (u \ w)),z,u) | x = K(y,(u * z) \ w). K(x,K(y,z) \ (u \ w)) = K(x,(u * K(y,z)) \ w). K(x,(y * K(z,u)) \ w) = K(x,K(z,u) \ (y \ w)). K(x,(y \ z) \ K(u,w)) = K(x,z \ (y * K(u,w))). (x * K(y,z)) * K(u,w) = x * (K(y,z) * K(u,w)). L(K(x,y),L(K(z,u),w,v5),v6) = K(x,y). K(x,L(K(y,z),u,w) \ (v5 \ v6)) = K(x,(v5 * L(K(y,z),u,w)) \ v6). K(x,(y * L(K(z,u),w,v5)) \ v6) = K(x,L(K(z,u),w,v5) \ (y \ v6)). K(x / (y * K(z,u)),w) = K((x / y) * K(u,z),w). K(x / (K(y,z) * u),w) = K((x / u) * K(z,y),w). x != K(y,(z * K(u,w)) \ v5) | x = K(y,z \ (K(u,w) \ v5)). K(x,K(y,z) \ (u \ w)) = K(x,u \ (K(y,z) \ w)). (K(x,y) * z) * K(u,w) = z * (K(x,T(y,z)) * K(u,w)). x * (K(y,T(z,x)) * K(u,w)) = (K(y,z) * x) * K(u,w). (x * K(y,z)) * K(u,w) = x * (K(u,w) * K(y,z)). (x * K(y,z)) * K(u,w) = x * (K(w,u) \ K(y,z)). K((K(x,y) * z) / u,w) = K((z / u) * K(x,y),w). x != K(y / (K(z,u) * w),v5) | x = K(y * (w \ K(u,z)),v5). K((x / y) * K(z,u),w) = K(x * (y \ K(z,u)),w). K(x,K(y,z) \ (u \ w)) = K(x,u \ (K(z,y) \ w)). K(x,K(y,z) \ (u \ (z * w))) = K(x,u \ (T(z,y) * w)). x * y != z * (K(u,w) * K(v5,v6)) | ((z * K(u,w)) * K(v5,v6)) / y = x. ((x * K(y,z)) * K(u,w)) / K(y,z) = x * K(u,w). x != (y * K(z,u)) * K(w,L(v5,v6,v7)) | x = K(w,L(T(v5,y),v6,v7)) * (y * K(z,u)). x * (K(y,L(z,u,w)) * K(v5,v6)) = K(y,L(T(z,x),u,w)) * (x * K(v5,v6)). K(x,L(T(y,z),u,w)) * (z * K(v5,v6)) = z * (K(x,L(y,u,w)) * K(v5,v6)). 1 / (x * (K(y,z) * K(u,w))) = K(z,y) / (x * K(u,w)). (x * a(y,z,K(u,w))) * K(v5,v6) = x * (K(v5,v6) * K(a(y,z,u),w)). (x * K(y,z)) * a(u,w,K(v5,v6)) = x * (K(a(u,w,v5),v6) * K(y,z)). x != (y * K(L(z,u,w),v5)) * K(v5,z) | x = K(z,v5) \ (L(K(v5,z),u,w) \ y). x * (K(y,z) \ K(L(y,u,w),z)) = K(y,z) \ (L(K(z,y),u,w) \ x). K(x,y) \ (L(K(y,x),z,u) \ w) = w * (K(x,y) \ K(L(x,z,u),y)). x != K((y / z) * K(u,w),v5) | x = K((K(u,w) * y) / z,v5). K(x * (y \ K(z,u)),w) = K((K(z,u) * x) / y,w). K((K(x,y) * z) / u,w) = K(z * (u \ K(x,y)),w). K(x,K(y,z) \ (u \ w)) = K(x,u \ (K(y,L(z,v5,v6)) \ w)). K(x,y \ (K(z,L(u,w,v5)) \ v6)) = K(x,K(z,u) \ (y \ v6)). x != ((y * K(z,u)) * K(w,(y * K(z,u)) \ v5)) / K(z,u) | x = K(w,v5 / (y * K(z,u))) * y. x * K(y,(x * K(z,u)) \ w) = K(y,w / (x * K(z,u))) * x. K(x,y / (z * K(u,w))) * z = z * K(x,(z * K(u,w)) \ y). ((x * K(y,z)) * K(u,(w * K(v5,v6)) \ v7)) / K(y,z) = x * K(u,K(v5,v6) \ (w \ v7)). K(T(x,y) / z,u) = K(x * (z \ K(x,y)),u). K(x * (y \ K(x,z)),u) = K(T(x,z) / y,u). x != K(y * (z \ K(y,u)),z / T(y,u)) | x = K(z \ y,y \ z). K(T(x,y) / z,z / T(x,y)) = K(z \ x,x \ z). K(x \ T(y,z),T(y,z) \ x) = K(x \ y,y \ x). K(x \ y,y \ x) / (z * x) = ((z * x) \ (y * z)) * (1 / (y * z)). (K(x,y) * T(z,u)) \ ((K(x,y) * T(z,u)) * w) = L(w,K(x,y) * z,K(z,u)). x * (K(y,T(z,x)) * K(u,w)) != v5 | K(y,z) * (x * K(u,w)) = v5. K(x,K(y,z) * (u \ (y * w))) = K(x,u \ (T(y,z) * w)). x != 1 / (y * (z * K(u,w))) | x = (K(w,u) / z) / y. K(x,y) / (z * K(u,w)) = (K(w,u) / K(y,x)) / z. (K(x,y) / K(z,u)) / w = K(u,z) / (w * K(y,x)). (K(x,y) * K(z,u)) / w = K(z,u) / (w * K(y,x)). x != K(y,z) / (u * K(w,v5)) | x = K(y,z) * (K(v5,w) / u). (K(x,y) * K(z,u)) / w = K(z,u) * (K(x,y) / w). (K(x,y) * K(z,u)) / w = K(x,y) / (w * K(u,z)). x != (K(y,z) * K(u,w)) / v5 | x = K(u,w) * (K(y,z) / v5). K(x,y) / (z * K(u,w)) = K(w,u) * (K(x,y) / z). K(x,y) * (K(z,u) / w) = K(z,u) * (K(x,y) / w). (K(x,y) / z) * K(u \ w,w \ u) = K(x,y) * (K(u \ w,w \ u) / z). K(x,y \ (L(K(z,u),w,v5) \ v6)) = K(x,K(z,u) \ (y \ v6)). x != K(y,(L(K(z,u),w,v5) \ v6) \ (L(K(z,u),w,v5) \ v7)) | x = K(y,v6 \ v7). K(x,K(y,z) \ ((L(K(y,z),u,w) \ v5) \ v6)) = K(x,v5 \ v6). K(x,K(y,z) \ ((K(L(y,u,w),z) \ v5) \ v6)) = K(x,v5 \ v6). K(x,y / (z * K(u,w))) * z = z * K(x,(K(w,u) / z) * y). K(x,y * (K(z,u) / w)) * w = w * K(x,(K(z,u) / w) * y). x != K(y,L(K(z,u),w,v5) \ v6) | x = K(y,K(z,u) \ v6). K(x,(y * L(K(z,u),w,v5)) \ v6) = K(x,K(z,u) \ (y \ v6)). K(x,(y * L(K(z,u),w,v5)) \ v6) != v7 | K(x,K(z,u) \ (y \ v6)) = v7. K(x,(K(y,z) \ (u * L(K(w,v5),v6,v7))) \ v8) = K(x,K(w,v5) \ ((K(y,z) \ u) \ v8)). (x * a(y,z,K(u,w))) * K(v5,v6) = x * (K(v5,v6) * a(y,z,K(u,w))). (x * K(y,z)) * a(u,w,K(v5,v6)) = x * (a(u,w,K(v5,v6)) * K(y,z)). K(x,y) \ (L(K(y,x),z,u) \ w) = w * a(K(x,y),z,u). x != y * a(K(z,u),w,v5) | x = a(K(u,z),w,v5) \ y. K(x,y) \ (L(K(y,x),z,u) \ w) = a(K(y,x),z,u) \ w. x != K(y \ z,z \ y) / (u * y) | x = ((y \ z) * (1 / z)) / u. ((x * y) \ (z * x)) * (1 / (z * x)) = ((y \ z) * (1 / z)) / x. x != ((y * (z * u)) \ (z * y)) * (1 / (z * y)) | x = L(u,z,y) \ (1 / (y * z)). (((x * y) \ x) * (1 / x)) / z = L(y,x,z) \ (1 / (z * x)). L(x,y,z) \ (1 / (z * y)) = (((y * x) \ y) * (1 / y)) / z. L(x,y,z) \ (1 / (z * y)) = (x \ (1 / y)) / z. L(x,y \ 1,z \ y) \ z = (x \ (1 / (y \ 1))) / (z \ y). L(1 / x,y,z) \ (1 / (z * y)) = (x / y) / z. a(x,y,1 / (x * y)) = ((x * y) / y) / x. a(x,y,1 / (x * y)) = x / x. x != y / y | x = 1. a(x,y,1 / (x * y)) = 1. (1 \ (x * y)) * (1 / (x * y)) = x * (y * (1 / (x * y))). (x * y) * (1 / (x * y)) = x * (y * (1 / (x * y))). K(x * y,(x * y) \ 1) = x * (y * (1 / (x * y))). x * (y * (1 / (x * y))) = K(x * y,y \ (x \ 1)). K(x * y,y \ (x \ 1)) = x * (y * (1 / (x * y))). x * (1 / ((y * K(z \ 1,z)) * x)) = K(x * z,z \ (x \ 1)) / y. x \ K(y * z,z \ (y \ 1)) = (x \ y) * (z * (1 / (y * z))). L(x,y \ 1,z \ y) \ z = (x \ y) / (z \ y). x != L(K(y \ 1,y) * z,z \ 1,u \ z) \ u | x = K(z * y,y \ (z \ 1)) * ((z \ 1) * u). ((K(x \ 1,x) * y) \ y) / (z \ y) = K(y * x,x \ (y \ 1)) * ((y \ 1) * z). K(x * y,y \ (x \ 1)) * ((x \ 1) * z) = ((K(y \ 1,y) * x) \ x) / (z \ x). (x \ y) * (z * (1 / (y * z))) = (x \ (y * z)) * (1 / (y * z)). (x \ (y * z)) * (1 / (y * z)) = (x \ y) * (z * (1 / (y * z))). x \ K(y \ (z * u),(z * u) \ y) = (x \ u) * ((y \ z) * (1 / (u * (y \ z)))). (x \ y) * ((z \ u) * (1 / (y * (z \ u)))) = x \ K(z \ (u * y),(u * y) \ z). x != (y \ ((z / u) * w)) * (1 / ((z / u) * w)) | x = y \ K(u \ (w * z),(w * z) \ u). (x \ (y / z)) * (u * (1 / ((y / z) * u))) = x \ K(z \ (u * y),(u * y) \ z). x != ((y * z) \ (y * u)) * (1 / (y * u)) | x = z \ (u * (1 / (y * u))). ((x * y) \ x) * (z * (1 / (x * z))) = y \ (z * (1 / (x * z))). (x \ ((y \ (z / u)) \ 1)) * (1 / ((u * (z \ 1)) * ((y \ 1) \ 1))) = (x \ (u * (z \ 1))) * (((y \ 1) \ 1) * (1 / ((u * (z \ 1)) * ((y \ 1) \ 1)))). (x \ (y * (z \ 1))) * (((u \ 1) \ 1) * (1 / ((y * (z \ 1)) * ((u \ 1) \ 1)))) = (x \ ((u \ (z / y)) \ 1)) * (1 / ((y * (z \ 1)) * ((u \ 1) \ 1))). (x \ (x / y)) * (z * (1 / ((x / y) * z))) = y \ (z * (1 / ((x / y) * z))). K(x,y) * (z * a(u,w,K(v5,v6))) = z * (K(x,T(y,z)) * a(u,w,K(v5,v6))). x * (K(y,T(z,x)) * a(u,w,K(v5,v6))) = K(y,z) * (x * a(u,w,K(v5,v6))). x * y != (1 / (z * u)) * z | (1 / u) / y = x. (1 / x) / a(y,z,K(u,w)) = (1 / ((a(y,z,K(u,w)) * K(v5,v6)) * x)) * K(v5,v6). (1 / ((a(x,y,K(z,u)) * K(w,v5)) * v6)) * K(w,v5) = (1 / v6) / a(x,y,K(z,u)). x * y != z * (a(u,w,K(v5,v6)) * K(v7,v8)) | x \ ((z * K(v7,v8)) * a(u,w,K(v5,v6))) = y. x \ (((x * K(a(y,z,K(u,w)) * K(v5,v6),v7)) * K(v5,v6)) * a(y,z,K(u,w))) = T(a(y,z,K(u,w)) * K(v5,v6),v7). x * (1 / (K(y \ 1,y) * (z * x))) = K(x * y,y \ (x \ 1)) / z. x * ((1 / (y * x)) * K(z,z \ 1)) = K(x * z,z \ (x \ 1)) / y. x * (y * (1 / ((z * x) * y))) = K(x * y,y \ (x \ 1)) / z. K(x * y,y \ (x \ 1)) / z = x * (y * (1 / ((z * x) * y))). x != K(y * z,z \ (y \ 1)) / u | x = (y * z) * (1 / (u * (y * z))). x * (y * (1 / ((z * x) * y))) = (x * y) * (1 / (z * (x * y))). (x * y) * (1 / (z * (x * y))) = x * (y * (1 / ((z * x) * y))). ((((x * (1 / ((y * (z \ 1)) * x))) \ z) * u) \ ((x * (1 / ((y * (z \ 1)) * x))) \ 1)) * (x * (1 / ((y * (z \ 1)) * x))) = u \ (((z \ 1) * x) * (1 / (y * ((z \ 1) * x)))). x != K(y,L(T(z,u),w,v5)) * (u * K(z,y)) | x = u * (K(z,T(y,u)) * K(T(y,u),L(z,w,v5))). x * (K(y,L(z,u,w)) * K(z,y)) = x * (K(z,T(y,x)) * K(T(y,x),L(z,u,w))). x * (K(y,T(z,x)) * K(T(z,x),L(y,u,w))) = x * (K(z,L(y,u,w)) * K(y,z)). L(x,K(y,z) * u,K(u,w)) = x. x != L(L(y,z,u),u * z,w) | x = (w * (u * z)) \ (w * (u * (z * y))). L(x,y,K(z,u)) = (K(y,w) * (K(z,u) * y)) \ (K(y,w) * (K(z,u) * (y * x))). (K(x,y) * (K(z,u) * x)) \ (K(x,y) * (K(z,u) * (x * w))) = L(w,x,K(z,u)). (K(x,y) * T(z,u)) \ (K(z,u) * (K(x,y) * (z * w))) = L(w,z,K(x,y)). (K(x,y) * T(z,u)) \ (K(x,y) * (T(z,u) * w)) = L(w,z,K(x,y)). L(x,T(y,z),K(u,w)) = L(x,y,K(u,w)). K(x * y,y \ (x \ 1)) * ((x \ 1) * z) = K(y,y \ 1) / (z \ x). K(x * y,y \ (x \ 1)) * ((x \ 1) * z) = y * (1 / ((z \ x) * y)). x != K(y * z,z \ (y \ 1)) * ((y \ 1) * u) | x = (z * (1 / (y * z))) * u. x * (1 / ((y \ z) * x)) = (x * (1 / (z * x))) * y. (x * (1 / (y * x))) * z = x * (1 / ((z \ y) * x)). a(x * (1 / (y * x)),z,u) = ((x * (1 / ((z \ y) * x))) * u) * ((z * u) \ ((x * (1 / (y * x))) \ 1)). ((x * (1 / ((y \ z) * x))) * u) * ((y * u) \ ((x * (1 / (z * x))) \ 1)) = a(x * (1 / (z * x)),y,u). (x \ y) * (K(z \ u,u \ z) / y) = x \ K(z \ (u * y),(u * y) \ z). x \ K(y \ (z * u),(z * u) \ y) = (x \ u) * (K(y \ z,z \ y) / u). ((x * (y * (z \ 1))) \ y) * (K(z \ x,x \ z) / y) != u | T((z / y) / x,a(x,y,z \ 1) \ 1) = u. x != y \ K(z \ (u * w),(u * w) \ z) | x = (y \ w) * (K(z \ u,u \ z) / w). (x \ (y / z)) * (u * (1 / ((y / z) * u))) = (x \ y) * (K(z \ u,u \ z) / y). x != y / a(z,u,K(w,v5)) | x = y * a(v5,u,K(w,z)). (1 / ((a(x,y,K(z,u)) * K(w,v5)) * v6)) * K(w,v5) = (1 / v6) * a(u,y,K(z,x)). x * (K(y,T(z,x)) * K(z,T(L(y,u,w),x))) = x * (K(z,L(y,u,w)) * K(y,z)). x != (y \ (y / z)) * (u * (1 / ((y / z) * u))) | x = z \ (u * (1 / ((y / z) * u))). (x \ x) * (K(y \ z,z \ y) / x) = y \ (z * (1 / ((x / y) * z))). 1 * (K(x \ y,y \ x) / z) = x \ (y * (1 / ((z / x) * y))). x \ (y * (1 / ((z / x) * y))) = 1 * (K(x \ y,y \ x) / z). 1 * x != y \ (z * (1 / ((u / y) * z))) | x = ((y \ z) * (1 / z)) * (y / u). K(x \ y,y \ x) / z = ((x \ y) * (1 / y)) * (x / z). ((x \ y) * (1 / y)) * (x / z) = K(x \ y,y \ x) / z. x * (K(y,T(z,x)) * K(z,L(T(y,x),u,w))) = x * (K(z,L(y,u,w)) * K(y,z)). K(x,y) * (z * K(y,L(T(x,z),u,w))) = z * (K(y,L(x,u,w)) * K(x,y)). K(x,y) * (K(y,L(x,z,u)) * w) = w * (K(y,L(x,z,u)) * K(x,y)). K(x,y) * (K(y,L(x,z,u)) * w) = w * a(y,z,K(u,x)). x != a(y,z,u) * a(y,z,K(u,w)) | x = T(a(y,z,u),w). K(x,y) * (K(y,L(x,z,u)) * a(y,z,u)) = T(a(y,z,u),x). x != K(y,(K(z,u) \ w) \ v5) | x = K(y,w \ (K(u,z) \ v5)). K(x,K(y,z) \ ((K(u,w) \ v5) \ v6)) = K(x,(v5 * L(K(y,z),v7,v8)) \ (K(w,u) \ v6)). K(x,(y * L(K(z,u),w,v5)) \ (K(v6,v7) \ v8)) = K(x,K(z,u) \ ((K(v7,v6) \ y) \ v8)). K(x,K(y,z) \ (u \ (K(w,v5) \ v6))) = K(x,K(y,z) \ ((K(v5,w) \ u) \ v6)). K(x,K(y,z) \ ((K(u,w) \ v5) \ v6)) = K(x,K(y,z) \ (v5 \ (K(w,u) \ v6))). x != K(y,K(z,u) \ ((K(L(z,w,v5),u) \ v6) \ v7)) | x = K(y,v6 \ v7). K(x,K(y,z) \ (u \ (K(z,L(y,w,v5)) \ v6))) = K(x,u \ v6). K(x,K(y,z) \ (u \ (L(K(z,y),w,v5) \ v6))) = K(x,u \ v6). x != K(y,K(z,u) \ (w \ v5)) | x = K(y,w \ (K(z,u) \ v5)). K(x,y \ z) = K(x,y \ (K(u,w) \ (L(K(w,u),v5,v6) \ z))). K(x,y \ (K(z,u) \ (L(K(u,z),w,v5) \ v6))) = K(x,y \ v6). K(x,y \ (a(K(z,u),w,v5) \ v6)) = K(x,y \ v6). K(x,y \ z) = K(x,y \ (z * a(u,w,K(v5,v6)))). K(x,y \ (z * a(u,w,K(v5,v6)))) = K(x,y \ z). K(x,y \ T(z * a(u,w,K(v5,v6)),K(v7,v8))) = K(x,y \ z). K(x,y \ (L(K(z,u),w,v5) * (v6 * K(u,z)))) = K(x,y \ v6). K(x,y \ ((L(K(z,u),w,v5) * v6) * K(u,z))) = K(x,y \ v6). K(x,(K(y,z) * u) \ (L(K(y,z),w,v5) * v6)) = K(x,u \ v6). K(x,(K(y,z) \ u) \ (L(K(z,y),w,v5) * v6)) = K(x,u \ v6). x != K(y,(K(z,u) \ w) \ (L(K(u,z),v5,v6) * v7)) | x = K(y,(a(z,v5,K(v6,u)) * w) \ v7). K(x,y \ z) = K(x,(a(u,w,K(v5,v6)) * y) \ z). K(x,(a(y,z,K(u,w)) * v5) \ v6) = K(x,v5 \ v6). K(x,(y * a(z,u,K(w,v5))) \ v6) = K(x,y \ v6). x != K(y,(z * a(u,w,K(v5,v6))) \ v7) | x = K(y,(z \ a(v6,w,K(v5,u))) * v7). K(x,y \ z) = K(x,(y \ a(u,w,K(v5,v6))) * z). K(x,(y \ a(z,u,K(w,v5))) * v6) = K(x,y \ v6). K(x,y * z) = K(x,(a(u,w,K(v5,v6)) / y) \ z). K(x,(a(y,z,K(u,w)) / v5) \ v6) = K(x,v5 * v6). ((x * K(y,z)) * K(u,(K(w,v5) / v6) * v7)) / K(y,z) = x * K(u,K(v5,w) \ (v6 \ v7)). x * K(y,K(z,u) \ (w \ v5)) = x * K(y,(K(u,z) / w) * v5). x * K(y,K(z,u) * (w \ v5)) = x * K(y,(K(z,u) / w) * v5). x * K(y,(K(z,u) / w) * v5) = x * K(y,K(z,u) * (w \ v5)). x != y * K(z,(K(u,w) / y) * v5) | x = K(z,v5 * (K(u,w) / y)) * y. x * K(y,K(z,u) * (x \ w)) = K(y,w * (K(z,u) / x)) * x. K(x,y * (K(z,u) / w)) * w = w * K(x,K(z,u) * (w \ y)). K(x,y * (z \ K(u,w))) * z = z * K(x,K(u,w) * (z \ y)). K(x,(y \ K(z,u)) * w) = K(x,K(z,u) * (y \ w)). K(x,y \ (K(z,u) * w)) = K(x,K(z,u) * (y \ w)). K(x,y \ (z * K(u,w))) = K(x,K(u,w) * (y \ z)). x != K(y,z * (u \ (w \ 1))) | x = K(y,z / (w * u)). K(x,(y \ K(z,u)) * (w \ 1)) = K(x,K(z,u) / (w * y)). x != K(y,((z \ 1) \ K(u,w)) * v5) | x = K(y,(z * K(u,w)) * v5). K(x,K(y,z) * ((u \ 1) \ w)) = K(x,(u * K(y,z)) * w). K(x,((y \ (z \ K(u,w))) * K(v5,v6)) * v7) = K(x,K(v5,v6) * (((K(w,u) * z) * y) \ v7)). K(x,y \ ((K(z,u) * w) * v5)) = K(x,K(z,L(u,w,v5)) * (y \ (w * v5))). K(x,K(y,L(z,u,w)) * (v5 \ (u * w))) = K(x,v5 \ ((K(y,z) * u) * w)). x != K(y,z \ (u * K(w,v5))) | x = K(y,(u \ z) \ K(w,v5)). K(x,K(y,z) * (u \ w)) = K(x,(w \ u) \ K(y,z)). K(x,(y \ z) \ K(u,w)) = K(x,K(u,w) * (z \ y)). x != K(y,(z \ (u \ 1)) \ K(w,v5)) | x = K(y,K(w,v5) * T(u * z,z \ (u \ 1))). K(x,K(y,z) * ((u \ 1) \ w)) = K(x,K(y,z) * T(u * w,w \ (u \ 1))). K(x,K(y,z) * T(u * w,w \ (u \ 1))) = K(x,K(y,z) * ((u \ 1) \ w)). K(x,(y \ K(z,u)) / w) = K(x,K(z,u) / (w * y)). x != K(y,(z \ K(u,w)) / v5) | x = K(y,z \ (v5 \ K(u,w))). K(x,K(y,z) / (u * w)) = K(x,w \ (u \ K(y,z))). K(x,(y * z) \ K(u,w)) = K(x,z \ (y \ K(u,w))). x != K(y,z / ((u \ (w \ 1)) * v5)) | x = K(y,z * (v5 \ (w * u))). K(x,y \ ((z \ (u \ 1)) \ K(w,v5))) = K(x,K(w,v5) * (y \ (u * z))). K(x,(y \ ((z \ 1) * u)) \ K(w,v5)) = K(x,u \ ((((u \ z) * y) \ (u \ 1)) \ K(w,v5))). K(x,y \ ((((y \ z) * u) \ (y \ 1)) \ K(w,v5))) = K(x,(u \ ((z \ 1) * y)) \ K(w,v5)). x / (a(y,z,K(u,w \ (v5 \ K(v6,v7)))) * x) = a((v5 * w) \ K(v6,v7),z,K(u,y)). x != K(y,K(z,L(u,w,v5)) * v6) | x = K(y,K(z,u) * v6). K(x,y \ ((K(z,u) * w) * v5)) = K(x,K(z,u) * (y \ (w * v5))). K(x,L(y,z,K(u,w) * v5)) = K(x,K(u,w) * (((K(u,w) * v5) * z) \ (v5 * (z * y)))). K(x,K(y,z) * (((K(y,z) * u) * w) \ (u * (w * v5)))) = K(x,L(v5,w,K(y,z) * u)). x != K(y,K(z,u) * ((w \ 1) \ v5)) | x = K(y,(w * K(z,u)) * v5). K(x,K(y,z) * T(u * w,w \ (u \ 1))) = K(x,(u * K(y,z)) * w). K(x,K(y,z) * ((u \ (w \ 1)) \ 1)) = K(x,(w * K(y,z)) * u). K(x,K(y,z) / (u \ (w \ 1))) = K(x,(w * K(y,z)) * u). K(x,(1 / K(y,z)) \ (u * w)) = K(x,(u * K(y,z)) * w). K(x,(y * K(z,u)) * w) != v5 | K(x,K(z,u) * (y * w)) = v5. a((x * y) \ K(z,u),w,K(v5,v6)) != v7 | a(y \ (x \ K(z,u)),w,K(v5,v6)) = v7. K(x,K(y,z) * ((u \ (w \ K(v5,v6))) * v7)) = K(x,K(y,z) * (((K(v6,v5) * w) * u) \ v7)). K(x,K(y,z) * (((K(u,w) * v5) * v6) \ v7)) = K(x,K(y,z) * ((v6 \ (v5 \ K(w,u))) * v7)). x != K(y,(z \ u) \ K(w,v5)) | x = K(y,K(w,v5) * (u \ z)). K(x,y \ ((((y \ z) * u) \ (y \ 1)) \ K(w,v5))) = K(x,K(w,v5) * (((z \ 1) * y) \ u)). x != K(y,K(z,u) * (((K(z,u) * w) * v5) \ (w * (v5 * v6)))) | x = K(y,L(v6,v5,K(z,u) * w)). K(x,K(y,z) * ((u \ (w \ K(z,y))) * (w * (u * v5)))) = K(x,L(v5,u,K(y,z) * w)). x != K(y,z \ ((u \ (w \ 1)) \ K(v5,v6))) | x = K(y,K(v5,v6) * (z \ (w * u))). K(x,K(y,z) * (((u \ 1) * w) \ v5)) = K(x,K(y,z) * (w \ (w * ((w \ u) * v5)))). K(x,K(y,z) * (u \ (u * ((u \ w) * v5)))) = K(x,K(y,z) * (((w \ 1) * u) \ v5)). K(x,K(y,z) * ((u \ w) * v5)) = K(x,K(y,z) * (((w \ 1) * u) \ v5)). K(x,K(y,z) * (((u \ 1) * w) \ v5)) = K(x,K(y,z) * ((w \ u) * v5)). (x * (1 / ((y \ (z \ u)) * x))) * ((z * y) \ ((x * (1 / (u * x))) \ 1)) = a(x * (1 / (u * x)),z,y). (x * (1 / ((y \ (z \ u)) * x))) * ((z * y) \ ((1 / (u * x)) \ (x \ 1))) = a(x * (1 / (u * x)),z,y). (x * (1 / ((y \ (z \ u)) * x))) * ((z * y) \ (u * K(x \ 1,x))) = a(x * (1 / (u * x)),z,y). (x * (1 / ((y \ (z \ u)) * x))) * (K(x \ 1,x) * ((z * y) \ u)) = a(x * (1 / (u * x)),z,y). x != (y * (1 / (z * y))) * u | x = y * (1 / ((u \ z) * y)). a(x * (1 / (y * x)),z,u) = x * (1 / (((K(x \ 1,x) * ((z * u) \ y)) \ (u \ (z \ y))) * x)). x * (1 / (((K(x \ 1,x) * ((y * z) \ u)) \ (z \ (y \ u))) * x)) = a(x * (1 / (u * x)),y,z). x * (1 / ((K(x,x \ 1) * (((y * z) \ u) \ (z \ (y \ u)))) * x)) = a(x * (1 / (u * x)),y,z). x * (1 / ((K(x,x \ 1) * (a(1 / y,z,u) \ 1)) * x)) = a(x * (1 / (y * x)),z,u). x * (1 / ((x * (1 / (a(1 / y,z,u) * x))) * x)) = a(x * (1 / (y * x)),z,u). x * (1 / (x * (1 / ((x \ a(1 / y,z,u)) * x)))) = a(x * (1 / (y * x)),z,u). x * ((x \ 1) * (x / (1 / (x \ a(1 / y,z,u))))) = a(x * (1 / (y * x)),z,u). x * ((x \ 1) * (x / ((1 / a(1 / y,z,u)) * x))) = a(x * (1 / (y * x)),z,u). x * ((x \ 1) * (x / ((a(1 / y,z,u) \ 1) * x))) = a(x * (1 / (y * x)),z,u). x * (x \ (1 / (a(1 / y,z,u) \ 1))) = a(x * (1 / (y * x)),z,u). x * (x \ a(1 / y,z,u)) = a(x * (1 / (y * x)),z,u). a(x * (1 / (y * x)),z,u) = x * (x \ a(1 / y,z,u)). a(x * (1 / (y * x)),z,u) = a(1 / y,z,u). x != a(y * (1 / ((1 / z) * y)),y \ 1,u) | x = ((u \ y) / z) / (u \ (y / z)). a(1 / (1 / x),y \ 1,z) = ((z \ y) / x) / (z \ (y / x)). ((x \ y) / z) / (x \ (y / z)) = a(1 / (1 / z),y \ 1,x). x != a(1 / (1 / y),z,u) | x = a(y,z,u). ((x \ y) / z) / (x \ (y / z)) = a(z,y \ 1,x). (K(x,K(y,z)) \ ((u * w) * v5)) / ((w * K(x,K(y,z))) * v5) = R(u,R(w,K(x,K(y,z)),v5),K(x,K(y,z)) * v5). (x * (K(y,K(z,u)) * w)) \ (x * (K(y,K(z,u)) * (w * v5))) = L(v5,L(w,K(y,K(z,u)),x),K(y,K(z,u)) * x). L(x,L(y,K(z,K(u,w)),v5),K(z,K(u,w)) * v5) != v6 | L(x,y,v5 * K(z,K(u,w))) = v6. (K(x,y) * (T(z,u) * w)) \ (K(z,u) * ((K(x,y) * z) * w)) = L(a(x,z,K(w,y)),K(x,y) * (z * w),K(z,u)). (K(x,K(y,z)) \ ((u * w) * v5)) / ((K(x,K(y,z)) \ w) * v5) = R(u,R(w,K(x,K(y,z)),v5),K(x,K(y,z)) * v5). L(x,K(y,K(z,u)) * w,v5) = L(x,L(w,K(y,K(z,u)),v5),K(y,K(z,u)) * v5). L(x,L(y,K(z,K(u,w)),v5),K(z,K(u,w)) * v5) = L(x,K(z,K(u,w)) * y,v5). L(x,y,z * K(u,K(w,v5))) = L(x,K(u,K(w,v5)) * y,z). L(x,K(y,K(z,u)) * w,v5) = L(x,w,v5 * K(y,K(z,u))). x != L(y,K(z,K(u,w)) * v5,v6) | x = L(y,v5,v6). L(x,y,z * K(u,K(w,v5))) = L(x,y,z). x != y | x = L(y,z,K(u,K(w,v5))). L(x,y,z * K(u,K(w,v5))) = L(L(x,y,z),v6,K(v7,K(v8,v9))). L(L(x,y,z),u,K(w,K(v5,v6))) = L(x,y,z * K(v7,K(v8,v9))). L(x,y,z * K(u,K(w,v5))) != v6 | v6 = L(x,y,z). L(x,y,z * K(u,K(w,v5))) != v6 | L(x,y,z) = v6. L(x,y,K(z,T(u,w))) != v5 | L(x,y,K(z,u)) = v5. x != L(a(y,z,K(u,w)),v5,v6) | x = a(y,z,K(u,L(w,v5,v6))). (K(x,y) * (T(z,u) * w)) \ (K(z,u) * ((K(x,y) * z) * w)) = a(x,z,K(w,L(y,K(x,y) * (z * w),K(z,u)))). (K(x,K(y,z)) \ ((u * w) * v5)) / (K(x,K(y,z)) \ (w * v5)) = R(u,R(w,K(x,K(y,z)),v5),K(x,K(y,z)) * v5). (K(x,y) * (T(z,u) * w)) \ (K(z,u) * ((K(x,y) * z) * w)) = a(x,z,K(w,y)). (K(x,y) * (T(z,u) * w)) \ ((K(x,y) * T(z,u)) * w) = a(x,z,K(w,y)). a(K(x,y),T(z,u),w) = a(x,z,K(w,y)). a(x,T(y,z),K(u,w)) = a(x,y,K(u,w)). x != a(1 / (y * T(z,u)),T(z,u),K(w,v5)) | x = a(T(z,u) \ (y \ 1),z * (1 / (y * z)),K(w,v5)). a(1 / (x * T(y,z)),y,K(u,w)) = a(T(y,z) \ (x \ 1),y * (1 / (x * y)),K(u,w)). a(T(x,y) \ (z \ 1),x * (1 / (z * x)),K(u,w)) = a(1 / (z * T(x,y)),x,K(u,w)). a(x,y \ z,K(u,w)) = a(x,z / y,K(u,w)). a(x,y / z,K(u,w)) = a(x,z \ y,K(u,w)). x != a(y / z,u,K(w,v5)) | x = a(z \ y,u,K(w,v5)). a(T(x,y) \ (z \ 1),x * (1 / (z * x)),K(u,w)) = a((z * T(x,y)) \ 1,x,K(u,w)). a(T(x,y) \ (z \ 1),x * (1 / (z * x)),K(u,w)) = a(T(x,y) \ (z \ 1),x,K(u,w)). K(x,K(y,z)) \ (((u * w) * v5) / (K(x,K(y,z)) \ (w * v5))) = R(u,R(w,K(x,K(y,z)),v5),K(x,K(y,z)) * v5). x != K(y,K(z,u)) \ (w / (K(y,K(z,u)) \ v5)) | x = w / v5. R(x,R(y,K(z,K(u,w)),v5),K(z,K(u,w)) * v5) = ((x * y) * v5) / (y * v5). R(x,R(y,K(z,K(u,w)),v5),K(z,K(u,w)) * v5) = R(x,y,v5). R(x,y,K(z,K(u,w)) * v5) = R(x,y,v5). R(x,y,z * K(u,K(w,v5))) = R(x,y,z). R(x,y,z) * T(y * z,K(u,w)) = (x * y) * (z * K(u,K(w,y * z))). (x * y) * (z * K(u,K(w,y * z))) = R(x,y,z) * T(y * z,K(u,w)). (R(x,y,z) * T(y * z,K(u,w))) * (T(y * z,K(u,w)) \ (x \ 1)) = a(x,y,z * K(u,K(w,y * z))). R(x,y,z) * (x \ 1) = a(x,y,z * K(u,K(w,y * z))). a(x,y,z * K(u,K(w,y * z))) = R(x,y,z) * (x \ 1). a(x,y,z) = R(x,y,z) * (x \ 1). x != R(y,z,u) * (y \ 1) | x = y \ R(y,z,u). a(x,y,z) = x \ R(x,y,z). x != y \ R(y,K(z,u),w) | x = a(u,w,K(w \ (y \ 1),z)). a(x,K(y,z),u) = a(z,u,K(u \ (x \ 1),y)). a(x,y,K(y \ (z \ 1),u)) = a(z,K(u,x),y). a(x,y,z) \ 1 = x * (R(x,y,z) \ 1). x * (R(x,y,z) \ 1) = a(x,y,z) \ 1. a(x,y,z) \ 1 = R(x,y,z) \ x. R(x,y,z) \ x = a(x,y,z) \ 1. K(x,L(y,z,u)) * a(x,z,u) = R(T(x,y),z,u) * (x \ 1). a(x,y,K(z,u)) = x \ L(x,y,K(z,u)). x \ L(x,y,K(z,u)) = a(x,y,K(z,u)). T(x,K(y,R(z,u,w) \ z)) = x. T(x,T(R(y,z,u) \ y,w)) = T(x,R(y,z,u) \ y). ((x / y) / z) * ((x / (z * y)) \ 1) = a((x / y) / z,z,y) \ 1. x * a(x,y,K(z,u)) = L(x,y,K(z,u)). x * a(y,z,K(u,x)) = L(x,z,K(y,u)). T(x,a(y,z,u)) = L(x,z,K(u,y)). L(x,y,K(z,u)) = T(x,a(u,y,z)). x != T(y,a(z,u,u \ (z \ (w \ 1)))) | x = T(y,R(w,z,u) \ w). L(x,y,K(y \ (z \ (u \ 1)),z)) = T(x,R(u,z,y) \ u). T(x,R(y,z,u) \ y) = L(x,u,K(u \ (z \ (y \ 1)),z)). a(x,y,K(z,u)) * (w * u) = w * L(u,y,K(x,z)). (x * y) / T(x,L(y,z,u)) = L(y,z,K(u,x)). (x * y) / T(L(x,z,K(u,w)),y) = a(x,z,K(w,u)) * y. K(x,(y / z) / ((y * u) / (z * u))) = a(y,K(z,x),u). x != a(y,z,K(z \ (u \ 1),w)) | x = K((u / y) / ((u * z) / (y * z)),w). a(x,K(y,z),u) = K((x / z) / ((x * u) / (z * u)),y). K((x / y) / ((x * z) / (y * z)),u) = a(x,K(u,y),z). x != a(y,z,K(u \ (w \ 1),v5)) | x = a(y,z,K(v5,u * w)). a(x,K(y,z),u) = a(z,u,K(y,u * x)). a(x,y,K(z,y * u)) = a(u,K(z,x),y). a(x,y * K(z,u),K((y \ (w \ 1)) * K(u,z),v5)) = a(w,K(v5,x),y * K(z,u)). x != L(y,y \ (z \ 1),K(u,w)) | x = L(y,z,K(w,u)). (x * y) / T(x,L(y,y \ (z \ 1),u)) = L(y,z,K(x,u)). K(x,R(y,z,u) \ y) * T(x,w) = T(T(x,w),R(y,z,u) \ y). a(x,y,K(z,u)) * (w * u) != w * v5 | L(u,y,K(x,z)) = v5. K(x,((y \ z) / u) / ((y \ 1) / (u * (z \ 1)))) = a(y \ z,K(u,x),z \ 1). a(x,K(y,z),u) \ w = K((x / y) / ((x * u) / (y * u)),z) * w. K((x / y) / ((x * z) / (y * z)),u) * w = a(x,K(y,u),z) \ w. x != L(y,z,K(u \ (w \ v5),w)) | x = L(y,z,K(w,v5 \ u)). T(x,R(y,z,u) \ y) = L(x,u,K(z,(y \ 1) \ u)). T(x,R(y,z,u) \ y) = L(x,u,K(z,y * u)). T(x,R(y * z,u,z \ 1) \ (y * z)) = L(x,z \ 1,K(u,R(y,z,z \ 1))). T(x,R(T(y,z),u,T(w,y)) \ T(y,z)) = L(x,T(w,y),K(u,w * T(y,z))). (x * y) / L(T(x,y),z,K(u,w)) = a(x,z,K(w,u)) * y. (x * y) / T(x,L(y,z \ 1,u)) = L(y,z,K(x,u)). x != (y * z) / T(y,L(z,u,w)) | x = L(z,u,K(w,y)). L(x,y,K(z,u)) = L(x,y \ 1,K(u,z)). L(x,y \ 1,K(z,u)) = L(x,y,K(u,z)). x != (y * z) / L(T(y,z),u,w) | x = L(y,u,w) \ (y * z). a(x,y,K(z,u)) * w = L(x,y,K(u,z)) \ (x * w). L(x,y,K(z,u)) \ (x * w) = a(x,y,K(u,z)) * w. L(x,y,K(z,u)) \ (x * w) = a(x,y \ (x \ 1),K(z,u)) * w. a(x,y \ (x \ 1),K(z,u)) * w = L(x,y,K(z,u)) \ (x * w). K(x,y) * (R(T(y,x),z,u) * (y \ 1)) = T(a(y,z,u),x). K(x,y) * (y \ R(T(y,x),z,u)) = T(a(y,z,u),x). T(x,y) \ R(T(x,y),z,u) = T(a(x,z,u),y). x != y \ R(y,z,u) | x = a(y,z,u). T(a(x,y,z),u) = a(T(x,u),y,z). a(T(x,y),z,u) = T(a(x,z,u),y). x != T(y,a(z,u,w)) | x = L(y,u,K(w,z)). a(T(x,a(y,z,u)),w,v5) = L(a(x,w,v5),z,K(u,y)). x != T(a(y,z,u),w) | x = a(y,z,u) * a(y,z,K(u,w)). a(T(x,y),z,u) = a(x,z,u) * a(x,z,K(u,y)). a(x,y,z) * a(x,y,K(z,u)) = a(T(x,u),y,z). x != T(a(y,z,u),w \ (y \ v5)) | x = T(a(y,z,u),u \ (w \ v5)). a(T(x,y \ (x \ z)),u,w) = T(a(x,u,w),w \ (y \ z)). T(a(x,y,z),z \ (u \ w)) = a(T(x,u \ (x \ w)),y,z). x != T(a(y,z,u \ 1),(y * z) \ u) | x = a(y,z,u \ 1). a(T(x,(x * y) \ z),y,z \ 1) = a(x,y,z \ 1). T(a(x,y,z),x \ (u \ w)) = a(T(x,u \ (x \ w)),y,z). a(T(x,y \ (x \ z)),u,w) = T(a(x,u,w),x \ (y \ z)). T(a(x,y,z),x \ (u \ w)) = a(T(x,x \ (w / u)),y,z). a(T(x,x \ (y / z)),u,w) = T(a(x,u,w),x \ (z \ y)). a(x,y,z) * a(x,y,K(z,u)) = a(T(x,z \ u),y,z). a(L(x,y,K(z,u)),w,v5) = L(a(x,w,v5),y,K(z,u)). a(T(x,y \ (x \ z)),y,z \ 1) = a(x,y,z \ 1). x != a(y,z,u) * a(y,z,K(u,w)) | x = a(T(y,w),z,u). a(T(x,y \ z),u,y) = a(T(x,z),u,y). x != T(a(y,z,u),w) | x = a(T(y,w),z,u). a(T(x,y \ (x \ z)),u,w) = a(T(x,w \ (y \ z)),u,w). a(T(x,y \ (z \ u)),w,y) = a(T(x,z \ (x \ u)),w,y). a(T(x,y \ (x \ z)),u,w) = a(T(x,x \ (y \ z)),u,w). a(T(x,x \ (y / z)),u,w) = a(T(x,x \ (z \ y)),u,w). x != a(T(y,z \ u),w,z) | x = a(T(y,u),w,z). a(T(x,y \ (x \ z)),u,w) = a(T(x,y \ z),u,w). x != a(T(y,z \ (y \ u)),z,u \ 1) | x = a(y,z,u \ 1). a(T(x,y \ z),y,z \ 1) = a(x,y,z \ 1). x != a(T(y,z \ (y \ u)),w,v5) | x = a(T(y,z \ u),w,v5). a(T(x,x \ (y \ z)),u,w) = a(T(x,y \ z),u,w). x * y != T(z,R(u,w,v5) \ u) | L(z,v5,K(w,u * v5)) / y = x. L(T(x,y),z,K(u,w * z)) / T(x,y) = K(x,R(w,u,z) \ w). K(x,R(y,z,u) \ y) = L(T(x,w),u,K(z,y * u)) / T(x,w). x * T(y,z) != T(T(y,z),u) | x = K(y,T(u,z)). K(x,R(y,z,u) \ y) = K(x,T(R(y,z,u) \ y,w)). K(x,T(R(y,z,u) \ y,w)) = K(x,R(y,z,u) \ y). x != L(y,z,K(u,w)) \ (y * v5) | x = a(y,z,K(w,u)) * v5. a(x,y \ (x \ 1),K(z,u)) * w = a(x,y,K(u,z)) * w. a(x,y \ 1,K(z,u)) * w = a(x,y,K(u,z)) * w. a(x,y \ 1,K(z,u)) = a(z,y,K(x,u)). x != a(y,z * K(u \ 1,u),w) | x = a(y,z,w). a(x,(y * K(z \ 1,z)) \ 1,K(u,w)) = a(u,y,K(x,w)). x != a(y,(z \ u) \ 1,w) | x = a(y,(1 / u) * z,w). a(x,y \ z,K(u,w)) = a(u,(1 / z) * y,K(x,w)). a(x,(1 / y) * z,K(u,w)) = a(u,z \ y,K(x,w)). a(x,(y \ 1) * ((z \ u) \ 1),K(w,v5)) = a(w,((1 / u) * z) \ y,K(x,v5)). x != a(y * z,(1 / T(y * z,u)) * y,K(w,v5)) | x = a(y * z,y,K(w,v5)). a(x,y \ T(y * z,u),K(y * z,w)) = a(y * z,y,K(x,w)). x != a(y,(z * K(u \ 1,u)) \ 1,w) | x = a(y,u * (1 / (z * u)),w). a(x,y,K(z,u)) = a(z,w * (1 / (y * w)),K(x,u)). a(x,y * (1 / (z * y)),K(u,w)) = a(u,z,K(x,w)). x != a(T(y,z) \ (u \ 1),y * (1 / (u * y)),K(w,v5)) | x = a(T(y,z) \ (u \ 1),y,K(w,v5)). a(x,y,K(T(z,u) \ (y \ 1),w)) = a(T(z,u) \ (y \ 1),z,K(x,w)). a(T(x,y) \ (z \ 1),x,K(u,w)) = a(u,z,K(T(x,y) \ (z \ 1),w)). a(x,(y \ 1) * z,K(u,w)) = a(u,z \ y,K(x,w)). x != L(y,z,u) / y | x = y \ L(y,z,u). K(x,R(y,z,u) \ y) = T(x,w) \ L(T(x,w),u,K(z,y * u)). x != y \ L(y,z,K(u,w)) | x = a(y,z,K(u,w)). K(x,R(y,z,u) \ y) = a(T(x,w),u,K(z,y * u)). K(x,R(y,z,u) \ y) = a(x,u,K(z,y * u)). K(x,R(y,z,u) \ y) = a(z,u,K(y * u,x)). K(x,R(y,z,u / ((1 / w) * v5)) \ y) = a(x,u / ((1 / w) * v5),K(z,y * ((u \ 1) \ (v5 \ w)))). K(x,R(y,z,1 / u) \ y) = a(z,1 / u,K(y / u,x)). K(x,R(y,z,1 / (u * y)) \ y) = a(z,1 / (u * y),K(u \ 1,x)). a(x,K(y,z),u) * w = a(x,K(z,y),u) \ w. a(x,K(y,z),u) \ w = a(x,K(z,y),u) * w. x != a(y,z / u,K(w,v5)) | x = a(y,u \ z,K(w,v5)). K(x,R(y,z,1 / (u * y)) \ y) = a(z,(u * y) \ 1,K(u \ 1,x)). x != a(y,z \ 1,K(u,w)) | x = a(u,z,K(y,w)). K(x,R(y,z,1 / (u * y)) \ y) = a(u \ 1,u * y,K(z,x)). x != L(y,T(z,u),K(w,v5)) | x = L(y,z,K(w,v5)). T(x,R(T(y,z),u,T(w,y)) \ T(y,z)) = L(x,w,K(u,w * T(y,z))). x != T(y,R(T(z,u),w,v5) \ T(z,u)) | x = T(y,R(z,w,v5) \ z). L(x,y,K(z,y * T(u,w))) = T(x,R(u,z,T(y,u)) \ u). T(x,R(y,z,T(u,y)) \ y) = L(x,u,K(z,u * T(y,w))). T(x,R(y,z,T(u,y)) \ y) = L(x,u,K(z,y * u)). x != a(y,(z \ 1) * u,K(w,v5)) | x = a(w,u \ z,K(y,v5)). a(x,((1 / y) * z) \ u,K(w,v5)) = a(x,((z \ y) \ 1) \ u,K(w,v5)). a(x,((y \ z) \ 1) \ u,K(w,v5)) = a(x,((1 / z) * y) \ u,K(w,v5)). x != a(y \ (((z \ 1) \ 1) \ y),((z \ 1) \ 1) \ y,K(u,w)) | x = a(((y \ (z \ y)) \ 1) \ 1,y,K(u,w)). a(x \ (((y \ 1) \ 1) \ x),((1 / 1) * y) \ x,K(z,u)) = a(((x \ (y \ x)) \ 1) \ 1,x,K(z,u)). K(x,((y \ z) / u) / ((1 / (y \ 1)) \ (z / u))) = a(y \ z,K(u,x),z \ 1). T(x,R(y * z,u,z \ 1) \ (y * z)) = L(x,z \ 1,K(u,y)). x != L(y,z \ 1,K(u,w)) | x = L(y,z,K(w,u)). T(x,R(y * z,u,z \ 1) \ (y * z)) = L(x,z,K(y,u)). K(x,((y \ z) / u) / (y \ (z / u))) = a(y \ z,K(u,x),z \ 1). K(x,a(y,z \ 1,u)) = a(u \ z,K(y,x),z \ 1). a(x \ y,K(z,u),y \ 1) = K(u,a(z,y \ 1,x)). a(x \ y,K(z,u),y \ 1) = a(u,y \ 1,K(x,z)). a(x \ y,K(z,u),y \ 1) = a(x,y,K(u,z)). a(x,y * K(z,u),K((w * y) \ K(u,z),v5)) = a(w,K(v5,x),y * K(z,u)). K(x,R(y,z,1 / ((1 / u) * w)) \ y) = a(x,1 / ((1 / u) * w),K(z,y * (w \ u))). K(x,R(y,z,1 / ((1 / u) * y)) \ y) = a(x,1 / ((1 / u) * y),K(z,u)). K(x,R(y,z,1 / ((1 / u) * y)) \ y) = a(x,((1 / u) * y) \ 1,K(z,u)). K(x,R(y,z,1 / ((1 / u) * y)) \ y) = a(x,y \ ((1 / u) \ 1),K(z,u)). K(x,R(y,z,1 / ((1 / u) * y)) \ y) = a(x,y \ u,K(z,u)). a(x \ (((y \ 1) \ 1) \ x),(1 * y) \ x,K(z,u)) = a(((x \ (y \ x)) \ 1) \ 1,x,K(z,u)). a(x \ (((y \ 1) \ 1) \ x),y \ x,K(z,u)) = a(((x \ (y \ x)) \ 1) \ 1,x,K(z,u)). x != a(y \ (z \ y),u,K(w,v5)) | x = a(z \ 1,u,K(w,v5)). a(((x \ (y \ x)) \ 1) \ 1,x,K(z,u)) = a(((y \ 1) \ 1) \ 1,y \ x,K(z,u)). x != a((y \ z) \ z,u,K(w,v5)) | x = a(y,u,K(w,v5)). a(((x \ (y \ x)) \ 1) \ 1,x,K(z,u)) = a(y \ 1,y \ x,K(z,u)). a(x \ (((y \ 1) \ 1) \ x),x,K(z,u)) = a(y \ 1,y \ x,K(z,u)). a(x \ 1,x \ y,K(z,u)) = a(((x \ 1) \ 1) \ 1,y,K(z,u)). a(((x \ 1) \ 1) \ 1,y,K(z,u)) = a(x \ 1,x \ y,K(z,u)). a(x \ 1,y,K(z,u)) = a(x \ 1,x \ y,K(z,u)). a(x \ 1,x \ y,K(z,u)) = a(x \ 1,y,K(z,u)). a(x \ 1,y,K(z,u)) = a(x \ 1,x * y,K(z,u)). a(x \ 1,x * y,K(z,u)) = a(x \ 1,y,K(z,u)). x != a(y \ 1,y * z,K(u,w)) | x = K(w,R(z,u,1 / (y * z)) \ z). a(x \ 1,y,K(z,u)) = K(u,R(y,z,1 / (x * y)) \ y). K(x,R(y,z,1 / (u * y)) \ y) = a(u \ 1,y,K(z,x)). x != K(y,R(z,u,1 / ((1 / w) * z)) \ z) | x = a(y,z \ w,K(u,w)). a((1 / x) \ 1,y,K(z,u)) = a(u,y \ x,K(z,x)). a(x,y,K(z,u)) = a(u,y \ x,K(z,x)). a(x,y \ z,K(u,z)) = a(z,y,K(u,x)). x != a(y,z,K(u,w)) | x = a(y \ 1,z,K(w,u)). a(x,y \ z,K(u,z)) = a(z \ 1,y,K(x,u)). a(x \ 1,y,K(z,u)) = a(z,y \ x,K(u,x)). x != a(y,z,K(u,w)) | x = a(u,z,K(y,w \ 1)). a(x \ 1,y,K(z,u)) = a(u,y \ x,K(z,x \ 1)). a(x,y \ z,K(u,z \ 1)) = a(z \ 1,y,K(u,x)). a(x,(y * K(z,u)) / w,K(v5,(1 / w) \ 1)) = a((1 / w) \ 1,K(u,z) / y,K(v5,x)). a(x,(y * K(z,u)) / w,K(v5,w)) = a((1 / w) \ 1,K(u,z) / y,K(v5,x)). a((1 / x) \ 1,K(y,z) / u,K(w,v5)) = a(v5,(u * K(z,y)) / x,K(w,x)). a((1 / x) \ 1,K(y,z) / u,K(w,v5)) = a(v5,x \ (u * K(z,y)),K(w,x)). x != a(y,z \ u,K(w,z)) | x = a(z,u,K(y,w)). a((1 / x) \ 1,K(y,z) / u,K(w,v5)) = a(x,u * K(z,y),K(v5,w)). a(x,K(y,z) / u,K(w,v5)) = a(x,u * K(z,y),K(v5,w)). a(x,y * K(z,u),K(w,v5)) = a(x,y \ K(u,z),K(v5,w)). a(x,y \ K(z,u),K(w,v5)) = a(x,y * K(u,z),K(v5,w)). ((x / y) / z) * ((x / (z * y)) \ K(z \ (x / y),a(z,y,x \ 1) \ 1)) = (a(z,y,x \ 1) \ 1) \ 1. x != (a(y,z,u) \ 1) \ 1 | x = a(y,z,u). ((x / y) / z) * ((x / (z * y)) \ K(z \ (x / y),a(z,y,x \ 1) \ 1)) = a(z,y,x \ 1). x \ (((x * K(K(y,z),u)) * K(y,z)) * a(w,v5,K(v6,v7))) = T(a(w,v5,K(v6,v7)) * K(y,z),u). x \ (((x * K(y,K(z,u))) * K(y,z)) * a(w,v5,K(v6,v7))) = T(a(w,v5,K(v6,v7)) * K(y,z),u). x \ ((x * (K(y,z) * K(y,K(z,u)))) * a(w,v5,K(v6,v7))) = T(a(w,v5,K(v6,v7)) * K(y,z),u). x \ ((x * K(y,T(z,u))) * a(w,v5,K(v6,v7))) = T(a(w,v5,K(v6,v7)) * K(y,z),u). K(x,T(y,z)) * a(u,w,K(v5,v6)) = T(a(u,w,K(v5,v6)) * K(x,y),z). T(a(x,y,K(z,u)) * K(w,v5),v6) = K(w,T(v5,v6)) * a(x,y,K(z,u)). x * T(a(y,z,K(u,w)) * K(v5,v6),x) = K(v5,v6) * (x * a(y,z,K(u,w))). (a(x,y,K(z,u)) * K(w,v5)) * v6 = K(w,v5) * (v6 * a(x,y,K(z,u))). (1 / (K(x,y) * (z * a(u,w,K(v5,v6))))) * K(x,y) = (1 / z) * a(v6,w,K(v5,u)). ((1 / (x * a(y,z,K(u,w)))) * K(v5,v6)) * K(v6,v5) = (1 / x) * a(w,z,K(u,y)). ((a(x,y,K(z,u)) / w) * K(v5,v6)) * K(v6,v5) = (1 / w) * a(x,y,K(z,u)). (1 / x) * a(y,z,K(u,w)) = a(y,z,K(u,w)) / x. K(x,(a(y,z,K(u,w)) / v5) \ v6) = K(x,(a(y,z,K(u,w)) \ v5) * v6). x != K(y,(a(z,u,K(w,v5)) / v6) \ v7) | x = K(y,v6 * v7). K(x,(a(y,z,K(u,w)) \ v5) * v6) = K(x,v5 * v6). x != K(y,(a(z,u,K(w,v5)) \ ((u * w) \ K(v5,z))) * v6) | x = K(y,(w \ (u \ K(v5,z))) * v6). K(x,((y * z) \ K(u,w)) * v5) = K(x,(z \ (y \ K(u,w))) * v5). x != K(y,(z \ K(u,w)) * v5) | x = K(y,K(u,w) * (z \ v5)). K(x,(y \ (z \ K(u,w))) * v5) = K(x,K(u,w) * ((z * y) \ v5)). x != K(y,(z \ (((u \ K(w,v5)) \ 1) \ K(v5,w))) * v6) | x = K(y,(u * z) \ v6). K(x,K(y,z) * ((((u \ K(z,y)) \ 1) * w) \ v5)) = K(x,(u * w) \ v5). x != K(y,K(z,u) * (((w \ 1) * v5) \ v6)) | x = K(y,K(z,u) * ((v5 \ w) * v6)). K(x,(y * z) \ u) = K(x,K(w,v5) * ((z \ (y \ K(v5,w))) * u)). K(x,K(y,z) * ((u \ (w \ K(z,y))) * v5)) = K(x,(w * u) \ v5). x != K(y,K(z,u) * ((w \ (v5 \ K(u,z))) * (v5 * (w * v6)))) | x = K(y,L(v6,w,K(z,u) * v5)). K(x,(y * z) \ (y * (z * u))) = K(x,L(u,z,K(w,v5) * y)). K(x,L(y,z,K(u,w) * v5)) = K(x,(v5 * z) \ (v5 * (z * y))). K(x,L(y,z,K(u,w) * v5)) = K(x,L(y,z,v5)). K(x,y) * K(y,L(x,z,u)) = a(K(w,v5) * u,z,K(x,y)). a(K(x,y) * z,u,K(w,v5)) = K(w,v5) * K(v5,L(w,u,z)). x != K(y,z) * K(z,L(y,u,w)) | x = a(z,u,K(w,y)). a(K(x,y) * z,u,K(w,v5)) = a(v5,u,K(z,w)). a(x,y,K(K(z,u) * w,v5)) = a(x,y,K(w,v5)). a(x,y,K(z,K(u,w) * v5)) = a(z,y,K(v5,x)). a(T(x,y) \ z,u,K(w,v5)) = a(v5,u,K(x \ z,w)). a(x,y,K(K(z,u) / (w * v5),v6)) = a(x,y,K(v5 \ (w \ 1),v6)). x != a(y,z,K(u,K(w,v5) * (u \ v6))) | x = a(u,z,K(y,v6 \ K(v5,w))). a(x,y,K(x \ z,u)) = a(x,y,K(u,z \ K(w,v5))). a(x,y,K(z,u * w)) = a(z,y,K(T(u,v5) * w,x)). a(x,y,K(T(z,u) * w,v5)) = a(v5,y,K(x,z * w)). a(x,y,K(z,u \ (T(w,v5) * v6))) = a(z,y,K(u \ (w * v6),x)). x != a(T(y,z) \ (u \ 1),y,K(w,v5)) | x = a(w,u,K(T(y,z) \ (u \ 1),v5)). a(x,y,K(y \ (z \ 1),u)) = a(u,z,K(T(y,w) \ (z \ 1),x)). a(x,y,K(T(z,u) \ (y \ 1),w)) = a(w,z,K(z \ (y \ 1),x)). x != a(y,z,K(y \ u,w)) | x = a(u \ 1,z,K(y,w)). a(x,y,K(z,u \ K(w,v5))) = a(u \ 1,y,K(x,z)). a(T(x,y) * z,u,K(w,v5)) = a(w,u,K(v5,x * z)). a(x \ K(y,z),u,K(w,v5)) = a(x \ 1,u,K(w,v5)). x != a(T(y / z,y) * u,w,K(v5,v6)) | x = a(v5,w,K(v6,(z \ y) * u)). a(x,y,K(z,(u / w) * v5)) = a(x,y,K(z,(w \ u) * v5)). a(x \ (y \ K(z,u)),w,K(v5,v6)) = a((y * x) \ 1,w,K(v5,v6)). x / (a(y,z,K(u,(w \ v5) * v6)) * x) = a((w * (v5 \ 1)) \ v6,z,K(u,y)). a(x,y,K((z * u) \ K(w,v5),v6)) = a(x,y,K(u \ (z \ 1),v6)). a(x,y,K(z,u * (T(w,v5) * v6))) = a(z,y,K((1 / u) \ (w * v6),x)). a(x,y,K((1 / z) \ (u * w),v5)) = a(v5,y,K(x,z * (T(u,v6) * w))). x != a(y,z,K(z \ (u \ 1),w)) | x = a(u,K(w,y),z). a(x,y,K(T(z,u) \ (y \ 1),w)) = a(y,K(x,w),z). a(x,y,K(z \ (y \ 1),u)) = a(y,K(x,u),z). a(x,y,K(y * z,u)) = a(y,K(u,x),z). a(x \ (y \ 1),y,K(z,u)) = a(y,K(u,z),x). x != a(y \ (z \ 1),u,K(w,v5)) | x = a(w,u,K(v5,z \ (y \ 1))). a(x,K(y,z),u) = a(z,x,K(y,x \ (u \ 1))). a(x,y,K(z,y \ (u \ 1))) = a(y,K(z,x),u). a(x \ (y \ 1),x,K(z,u)) = a(x,K(u,z),y). a(x \ (y \ K(z,u)),x,K(w,v5)) = a(x,K(v5,w),K(u,z) * y). a(x \ (y \ K(z,u)),w,K(v5,v6)) = a(x \ (y \ 1),w,K(v5,v6)). x != a(y,z * K(u,w),K((v5 * z) \ K(w,u),v6)) | x = a(v5,K(v6,y),z * K(u,w)). a(x,y * K(z,u),K(y \ (w \ 1),v5)) = a(w,K(v5,x),y * K(z,u)). x != a(y \ (z \ K(u,w)),y,K(v5,v6)) | x = a(y,K(v6,v5),K(w,u) * z). a(x \ (y \ 1),x,K(z,u)) = a(x,K(u,z),K(w,v5) * y). x != a(y \ (z \ 1),y,K(u,w)) | x = a(y,K(w,u),z). a(x,K(y,z),K(u,w) * v5) = a(x,K(y,z),v5). a(x,K(y,z),(u / w) * v5) = a(x,K(y,z),(w \ u) * v5). x != a(y,z,u * K(w \ v5,v5 \ w)) | x = a(y,z,u). a(x,K(y,z),(u / w) * K(v5 \ v6,v6 \ v5)) = a(x,K(y,z),w \ u). a(x,y,K(z * (u * w),v5)) = a(v5,y,K(x,z * (T(u,v6) * w))). a(x,y,K(z,u * (T(w,v5) * v6))) = a(z,y,K(u * (w * v6),x)). x != a(y,z,K(u \ 1,w * (T(v5,v6) * u))) | x = a(u \ 1,z,K(y,K(v5,v6) \ (v5 \ (1 / w)))). a(x \ 1,y,K(z * (u * x),w)) = a(x \ 1,y,K(w,K(u,v5) \ (u \ (1 / z)))). a(x,(y \ 1) * K(z,u),K((w \ 1) \ 1,v5)) = a(w \ y,K(v5,x),(y \ 1) * K(z,u)). a(x \ y,K(z,u),(y \ 1) * K(w,v5)) = a(u,(y \ 1) * K(w,v5),K((x \ 1) \ 1,z)). a(x,K(y,z),K(u,w) * (K(v5 \ v6,v6 \ v5) / v7)) = a(x,K(y,z),v7 \ K(u,w)). a((x \ y) * z,u,K(w,v5)) = a((x * (y \ 1)) \ z,u,K(w,v5)). a((x * (y \ 1)) \ z,u,K(w,v5)) = a((x \ y) * z,u,K(w,v5)). x != a((y * (z \ 1)) \ (u \ 1),w,K(v5,v6)) | x = a(u \ (z / y),w,K(v5,v6)). a((x \ y) * (z \ 1),u,K(w,v5)) = a(z \ (y / x),u,K(w,v5)). x != a(y * (z \ 1),u,K(w,v5)) | x = a(z \ y,u,K(w,v5)). a(x \ (y / z),u,K(w,v5)) = a(x \ (z \ y),u,K(w,v5)). a(x \ 1,y,K(z * (u * x),w)) = a(x \ 1,y,K(w,T(u,v5) \ (1 / z))). a(x \ 1,y,K(z * (u * x),w)) = a(x \ 1,y,K(w,T(u,v5) \ (z \ 1))). a(x \ 1,y,K(z * (u * x),w)) = a(x \ 1,y,K(w,u \ (z \ 1))). a(x,y,K(z,u * (w * x))) = a(x \ 1,y,K(z,w \ (u \ 1))). a(x \ 1,y,K(z,u \ (w \ 1))) = a(x,y,K(z,w * (u * x))). x != a(y,z,K(u,w \ (v5 \ 1))) | x = a(u,z,K(y,w * v5)). a(x,y,K(z,u * (w * x))) = a(z,y,K(x \ 1,w * u)). a(x,y,K(z \ 1,u * w)) = a(z,y,K(x,w * (u * z))). a(x,y,K(z,u * (w * x))) != v5 | a(z,y,K(w * u,x)) = v5. x != a(y,K(z,u),K(w,v5) * v6) | x = a(y,K(z,u),v6). a(x,K(y,z),u \ K(w,v5)) = a(x,K(y,z),K(v6 \ v7,v7 \ v6) / u). a(x,K(y,z),u \ K(w,v5)) != v6 | a(x,K(y,z),u \ 1) = v6. a(x \ y,K(z,u),(y \ 1) * K(w,v5)) = a(u,y \ K(w,v5),K((x \ 1) \ 1,z)). a(x \ y,K(z,u),(y \ 1) * K(w,v5)) = a(u,y \ K(w,v5),K(x,z)). a(x \ y,K(z,u),y \ K(w,v5)) = a(u,y \ K(w,v5),K(x,z)). x != a(y,z \ K(u,w),K(v5,v6)) | x = a(y,z * K(w,u),K(v6,v5)). a(x \ y,K(z,u),y \ K(w,v5)) = a(u,y * K(v5,w),K(z,x)). a(x \ y,K(z,u),y \ 1) = a(u,y * K(w,v5),K(z,x)). x != a(y \ z,K(u,w),z \ 1) | x = a(y,z,K(w,u)). a(x,y * K(z,u),K(w,v5)) = a(v5,y,K(x,w)). a(x,K(y,z) * u,K(w,v5)) = a(x,u,K(w,v5)). a(x,y,K(z,u)) = a(x,w \ T(w * y,v5),K(z,u)). a(x,y \ T(y * z,u),K(w,v5)) = a(x,z,K(w,v5)). x != a(y,z \ T(z * u,w),K(z * u,v5)) | x = a(z * u,z,K(y,v5)). a(x,y,K(z * y,u)) = a(z * y,z,K(x,u)). a(x * y,x,K(z,u)) = a(z,y,K(x * y,u)). x != a(y,z,K(u * z,w)) | x = K(w,R(u,y,z) \ u). a(x * y,x,K(z,u)) = K(u,R(x,z,y) \ x). x != a(y,T(z,u),K(w,v5)) | x = a(y,z,K(w,v5)). a(x,y,K(T(z,u) * y,w)) = a(T(z,u) * y,z,K(x,w)). a(T(x,y) * z,x,K(u,w)) = a(u,z,K(T(x,y) * z,w)). x != K(y,R(z,u,w) \ z) | x = K(y,T(R(z,u,w) \ z,v5)). a(x * y,x,K(z,u)) = K(u,T(R(x,z,y) \ x,w)). K(x,T(R(y,z,u) \ y,w)) = a(y * u,y,K(z,x)). a(x * y,x,K(z,u)) * (w * u) = w * T(u,R(x,z,y) \ x). x != a(y,z,K(T(u,w) * v5,v6)) | x = a(v6,z,K(y,u * v5)). a(T(x,y) * z,x,K(u,w)) = a(w,z,K(u,x * z)). x != a(T(y,z) * u,w,K(v5,v6)) | x = a(v5,w,K(v6,y * u)). a(x,y,K(z,u * y)) = a(z,u,K(x,u * y)). x != a(y,z * y,K(u,w)) | x = a(y,z,K(u,w)). a(x,y,K(z,y * (u * z))) = a(z,u,K(x,y * (u * z))). a(x,y,K(z,u * (y * x))) = a(z,u,K(x,u * (y * x))). a(x,y,K(y * z,u)) = a(x,z,K(u,z * (y * u))). x != a(y,z,K(z * u,w)) | x = a(z,K(w,y),u). a(x,y,K(z,y * (u * z))) = a(u,K(z,x),y). x != a(y,z,K(u,z * w)) | x = a(w,K(u,y),z). a(x,K(y,z),u) = a(x * y,K(y,z),u). a(x * y,K(y,z),u) = a(x,K(y,z),u). L(x,y,K(y * z,u)) = T(x,R(y,u,z) \ y). x != T(y,R(z * u,w,u \ 1) \ (z * u)) | x = L(y,u,K(z,w)). L(x,y * z,K((y * z) * (z \ 1),u)) = L(x,z,K(y,u)). x != T(y,R(z,u,T(w,z)) \ z) | x = L(y,w,K(u,z * w)). L(x,y,K(y * T(z,y),u)) = L(x,z,K(u,y * z)). L(x,y,K(z * y,u)) = L(x,z,K(u,y * z)). L(x,y \ 1,K(R(z,y,y \ 1),u)) = L(x,z * y,K(u,(y \ 1) * (z * y))). L(x,y * z,K(u,(z \ 1) * (y * z))) = L(x,z \ 1,K(R(y,z,z \ 1),u)). L(x,y * z,K(R(y,z,z \ 1),u)) = L(x,z,K(y,u)). L(x,y * z,K(y,u)) = L(x,z,K(y,u)). L(x,y * z,K(u,(z \ 1) * (y * z))) = L(x,z \ 1,K(y,u)). L(x,y * z,K(u,(z \ 1) * (y * z))) = L(x,z,K(u,y)). L(x,y * z,K(u,z \ (y * z))) = L(x,z,K(u,y)). L(x,y * z,K(u,T(y,z))) = L(x,z,K(u,y)). L(x,y * z,K(u,y)) = L(x,z,K(u,y)). a(x,T(y,x),z) = L(a(x,y,z),y * z,K(y,x)). L(a(x,y,z),y * z,K(y,x)) = a(x,T(y,x),z). x != L(y,z * u,K(z,w)) | x = L(y,u,K(z,w)). a(x,T(y,x),z) = L(a(x,y,z),z,K(y,x)). L(a(x,y,z),z,K(y,x)) = a(x,T(y,x),z). x != L(a(y,z,u),w,K(v5,v6)) | x = a(L(y,w,K(v5,v6)),z,u). a(x,T(y,x),z) = a(L(x,z,K(y,x)),y,z). a(L(x,y,K(z,x)),z,y) = a(x,T(z,x),y). a(x,y,z) = a(x,T(y,x),z). a(x,T(y,x),z) = a(x,y,z). (x \ (y * (z \ 1))) * (((u \ 1) \ 1) * (1 / ((y * (z \ 1)) * ((u \ 1) \ 1)))) = (x \ ((u \ (z / y)) \ 1)) * (1 / ((u \ (z / y)) \ 1)). (x \ (y * (z \ 1))) * (((u \ 1) \ 1) * (1 / ((y * (z \ 1)) * ((u \ 1) \ 1)))) = (x \ ((u \ (z / y)) \ 1)) * (u \ (z / y)). x != (y \ ((z \ u) \ 1)) * (z \ u) | x = y \ K(u \ z,z \ u). (x \ (y * (z \ 1))) * (((u \ 1) \ 1) * (1 / ((y * (z \ 1)) * ((u \ 1) \ 1)))) = x \ K((z / y) \ u,u \ (z / y)). (x \ (y * (z \ 1))) * (((u \ 1) \ 1) * (1 / ((y * (z \ 1)) * ((u \ 1) \ 1)))) = x \ K(z \ (y * u),(y * u) \ z). (x \ (y * (z \ 1))) * (((u \ 1) \ 1) * (1 / ((y * (z \ 1)) * ((u \ 1) \ 1)))) = (x \ u) * (K(z \ y,y \ z) / u). (x \ (y * (z \ 1))) * (((u \ 1) \ 1) * (1 / ((u \ (z / y)) \ 1))) = (x \ u) * (K(z \ y,y \ z) / u). (x \ (y * (z \ 1))) * (((u \ 1) \ 1) * (u \ (z / y))) = (x \ u) * (K(z \ y,y \ z) / u). (x \ (y * (z \ 1))) * (K(u,u \ 1) * (z / y)) = (x \ u) * (K(z \ y,y \ z) / u). ((((x * ((1 / (1 / x)) \ (y / z))) \ y) * u) \ ((x * (1 / ((z * (y \ 1)) * x))) \ 1)) * (x * (1 / ((z * (y \ 1)) * x))) = u \ (((y \ 1) * x) * (1 / (z * ((y \ 1) * x)))). ((((K(x,x \ 1) * (y / z)) \ y) * u) \ ((x * (1 / ((z * (y \ 1)) * x))) \ 1)) * (x * (1 / ((z * (y \ 1)) * x))) = u \ (((y \ 1) * x) * (1 / (z * ((y \ 1) * x)))). (((K(x \ 1,x) * ((y / z) \ y)) * u) \ ((x * (1 / ((z * (y \ 1)) * x))) \ 1)) * (x * (1 / ((z * (y \ 1)) * x))) = u \ (((y \ 1) * x) * (1 / (z * ((y \ 1) * x)))). (((K(x \ 1,x) * y) * z) \ ((x * (1 / ((y * (u \ 1)) * x))) \ 1)) * (x * (1 / ((y * (u \ 1)) * x))) = z \ (((u \ 1) * x) * (1 / (y * ((u \ 1) * x)))). ((K(x \ 1,x) * (y * z)) \ ((x * (1 / ((y * (u \ 1)) * x))) \ 1)) * (x * (1 / ((y * (u \ 1)) * x))) = z \ (((u \ 1) * x) * (1 / (y * ((u \ 1) * x)))). ((K(x \ 1,x) * (y * z)) \ ((x * ((1 / (1 / x)) \ (u / y))) \ 1)) * (x * (1 / ((y * (u \ 1)) * x))) = z \ (((u \ 1) * x) * (1 / (y * ((u \ 1) * x)))). ((K(x \ 1,x) * (y * z)) \ ((K(x,x \ 1) * (u / y)) \ 1)) * (x * (1 / ((y * (u \ 1)) * x))) = z \ (((u \ 1) * x) * (1 / (y * ((u \ 1) * x)))). ((K(x \ 1,x) * (y * z)) \ ((u / y) \ K(x \ 1,x))) * (x * (1 / ((y * (u \ 1)) * x))) = z \ (((u \ 1) * x) * (1 / (y * ((u \ 1) * x)))). ((K(x \ 1,x) * (y * z)) \ (((u / y) \ (x \ 1)) * x)) * (x * (1 / ((y * (u \ 1)) * x))) = z \ (((u \ 1) * x) * (1 / (y * ((u \ 1) * x)))). ((((x / y) * (K(z \ 1,z) * (y * u))) \ (z \ 1)) * z) * (z * (1 / ((y * (x \ 1)) * z))) = u \ (((x \ 1) * z) * (1 / (y * ((x \ 1) * z)))). ((K(x,x \ 1) * (((y / z) * (z * u)) \ (x \ 1))) * x) * (x * (1 / ((z * (y \ 1)) * x))) = u \ (((y \ 1) * x) * (1 / (z * ((y \ 1) * x)))). ((((x / y) * (y * z)) \ (1 / u)) * u) * (u * (1 / ((y * (x \ 1)) * u))) = z \ (((x \ 1) * u) * (1 / (y * ((x \ 1) * u)))). (((x / y) * (y * z)) \ 1) * (u * (1 / ((y * (x \ 1)) * u))) = z \ (((x \ 1) * u) * (1 / (y * ((x \ 1) * u)))). ((x * y) \ ((z / x) \ 1)) * (u * (1 / ((x * (z \ 1)) * u))) = y \ (((z \ 1) * u) * (1 / (x * ((z \ 1) * u)))). ((x * y) \ (x * (z \ 1))) * (u * (1 / ((x * (z \ 1)) * u))) = y \ (((z \ 1) * u) * (1 / (x * ((z \ 1) * u)))). ((x * y) \ (x * (z \ 1))) * (u * ((1 / (1 / u)) \ (z / x))) = y \ (((z \ 1) * u) * (1 / (x * ((z \ 1) * u)))). ((x * y) \ (x * (z \ 1))) * (K(u,u \ 1) * (z / x)) = y \ (((z \ 1) * u) * (1 / (x * ((z \ 1) * u)))). x != (y \ (z * (u \ 1))) * (K(w,w \ 1) * (u / z)) | x = (y \ w) * (K(u \ z,z \ u) / w). x \ (((y \ 1) * z) * (1 / (u * ((y \ 1) * z)))) = ((u * x) \ z) * (K(y \ u,u \ y) / z). x \ ((y \ 1) * (z * (1 / ((u * (y \ 1)) * z)))) = ((u * x) \ z) * (K(y \ u,u \ y) / z). x \ ((y \ 1) * (z * ((1 / (1 / z)) \ (y / u)))) = ((u * x) \ z) * (K(y \ u,u \ y) / z). x \ ((y \ 1) * (K(z,z \ 1) * (y / u))) = ((u * x) \ z) * (K(y \ u,u \ y) / z). x \ (((y \ z) * (1 / z)) * (y / u)) = ((u * x) \ z) * (K(y \ u,u \ y) / z). ((x * y) \ z) * (K(u \ x,x \ u) / z) = y \ (((u \ z) * (1 / z)) * (u / x)). ((x * y) \ z) * (K(u \ x,x \ u) / z) = y \ (K(u \ z,z \ u) / x). T((x / y) / z,a(z,y,x \ 1) \ 1) = (y * (x \ 1)) \ (K(x \ y,y \ x) / z). x != (y * z) \ (K(u \ y,y \ u) / w) | x = (z \ ((u \ 1) * (u / y))) / w. T((x / y) / z,a(z,y,x \ 1) \ 1) = ((x \ 1) \ ((x \ 1) * (x / y))) / z. T((x / y) / z,a(z,y,x \ 1) \ 1) = (x / y) / z. (x / (y * z)) / ((x / z) / y) = a(y,z,x \ 1) \ 1. (a(x,y,z \ 1) \ 1) \ (a(x,y,z \ 1) \ 1) = K(x \ (z / y),a(x,y,z \ 1) \ 1). 1 = K(x \ (y / z),a(x,z,y \ 1) \ 1). K(x \ (y / z),a(x,z,y \ 1) \ 1) = 1. ((x / y) / z) * ((x / (z * y)) \ 1) = a(z,y,x \ 1). x != ((y / z) / u) * ((y / (u * z)) \ 1) | x = a((y / z) / u,u,z) \ 1. a(x,y,z \ 1) = a((z / y) / x,x,y) \ 1. a((x / y) / z,z,y) \ 1 = a(z,y,x \ 1). a(x \ (y / z),T(x,x \ (y / z)),z) \ 1 = a(T(x,x \ (y / z)),z,y \ 1). x != a(T(y,y \ (z / u)),w,v5) | x = a(T(y,y \ (u \ z)),w,v5). a(x \ (y / z),T(x,x \ (y / z)),z) \ 1 = a(T(x,x \ (z \ y)),z,y \ 1). a(x \ (y / z),x,z) \ 1 = a(T(x,x \ (z \ y)),z,y \ 1). a(T(x,x \ (y \ z)),y,z \ 1) = a(x \ (z / y),x,y) \ 1. x != a(T(y,y \ (z \ u)),w,v5) | x = a(T(y,z \ u),w,v5). a(x \ (y / z),x,z) \ 1 = a(T(x,z \ y),z,y \ 1). a(T(x,y \ z),y,z \ 1) = a(x \ (z / y),x,y) \ 1. x != a(T(y,z \ u),z,u \ 1) | x = a(y,z,u \ 1). a(x \ (y / z),x,z) \ 1 = a(x,z,y \ 1). K(x,x * a(y,z,u \ 1)) = K(x,a(y \ (u / z),y,z) \ x). K(x,a(y \ (z / u),y,u) \ x) = K(x,x * a(y,u,z \ 1)). a(x,y,K(z,(y * x) \ (u / K(x,z)))) \ 1 = a(y * x,K(x,z),u \ 1). a(x * (y / K(z,u)),x \ 1,K(z,u)) \ 1 = a(x \ 1,K(z,u),y \ 1). a(x \ (y / z),x,K(z,u)) = K(u,u * a(x,z,y \ 1)). K(x,x * a(y,z,u \ 1)) = a(y \ (u / z),y,K(z,x)). x != a(y \ (z / u),w,K(v5,v6)) | x = a(y \ (u \ z),w,K(v5,v6)). K(x,x * a(y,z,u \ 1)) = a(y \ (z \ u),y,K(z,x)). x != a(y \ (z \ u),w,K(z,v5)) | x = a(z,w,K(u \ y,v5)). K(x,x * a(y,z,u \ 1)) = a(z,y,K(u \ y,x)). a(x,y,K(z \ 1,u)) = a(y,u,K(z \ u,x)). a(x,y,K(z,u)) = a(y,z,K(u \ z,x)). a(x,y,K(z \ y,u)) = a(u,x,K(y,z)). a(x,y,K(z,(y * x) \ (u * K(z,x)))) \ 1 = a(y * x,K(x,z),u \ 1). a(x * (y * K(z,u)),x \ 1,K(u,z)) \ 1 = a(x \ 1,K(u,z),y \ 1). a(x,y,K(z,(y * x) \ u)) \ 1 = a(y * x,K(x,z),u \ 1). a(x,y,K(z \ y,u)) \ 1 = a(y * x,K(x,u),z \ 1). a(x * y,K(y,z),u \ 1) = a(y,x,K(u \ x,z)) \ 1. a(x * y,K(y,z),u \ 1) = a(z,y,K(x,u)) \ 1. 1 * x != a(y,z,K(u,w)) \ 1 | x = a(u * z,K(z,y),w \ 1). a(x,y,K(z,u)) = a(z * y,K(y,u),x \ 1). a(x * y,K(y,z),u \ 1) = a(u,y,K(x,z)). x != a(y * z,K(z,u),w) | x = a(y,K(z,u),w). a(x,y,K(z,u)) = a(z,K(y,u),x \ 1). a(x,K(y,z),u \ 1) = a(u,y,K(x,z)). a(x,y,K(y * (z * K(u,x)),u)) \ 1 = a(y \ 1,K(x,u),z \ 1). a(x,y,K(y * z,u)) \ 1 = a(y \ 1,K(x,u),z \ 1). a(x \ 1,K(y,z),u \ 1) = a(y,x,K(x * u,z)) \ 1. a(x \ 1,K(y,z),u \ 1) = a(x,K(z,y),u) \ 1. x != a(y,K(z,u),w) \ v5 | x = a(y,K(u,z),w) * v5. a(x \ 1,K(y,z),u \ 1) = a(x,K(y,z),u) * 1. a(x \ 1,K(y,z),u \ 1) != w | w = a(x,K(y,z),u). a(x \ 1,K(y,z),u \ 1) != w | a(x,K(y,z),u) = w. a(x,K(y,z),u) = a(u,y,K(x \ 1,z)). a(x,y,K(z \ 1,u)) = a(z,K(y,u),x). a(x,y,K(z,u)) = a(u,K(y,z),x). a(x,K(y,z),u) = a(u,y,K(z,x)). 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 a(x,K(y,z),u) = a(x,y,K(u,z)) # label("aK2_eq_aK3") # 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) = y \ 1 # label("WIP"). [assumption]. a(c1,K(c2,c3),c4) != a(c1,c2,K(c4,c3)) # label("aK2_eq_aK3"). [deny(10)]. end_of_list. formulas(demodulators). end_of_list. % 19764 hints input. ============================== PREDICATE ELIMINATION ================= No predicates eliminated. ============================== end predicate elimination ============= Auto_denials: % copying label "aK2_eq_aK3" to answer in negative clause Term ordering decisions: Function symbol KB weights: 1=1. c1=1. c2=1. c3=1. c4=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, *, 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: 11 1 * x = x. [assumption]. kept: 12 x * 1 = x. [assumption]. kept: 13 x \ (x * y) = y. [assumption]. kept: 14 x * (x \ y) = y. [assumption]. kept: 15 (x * y) / y = x. [assumption]. kept: 16 (x / y) * y = x. [assumption]. kept: 17 x * y != z | x * u != z | u = y. [clausify(1)]. kept: 18 x * y != z | u * y != z | u = x. [clausify(2)]. kept: 19 x * y != x * z | y = z. [clausify(3)]. kept: 20 x * y != z * y | x = z. [clausify(4)]. kept: 21 x != y | z * x = z * y. [assumption]. kept: 22 x != y | x * z = y * z. [assumption]. 23 (x * (y * z)) \ ((x * y) * z) = a(x,y,z) # label("associator"). [assumption]. kept: 24 a(x,y,z) = (x * (y * z)) \ ((x * y) * z). [copy(23),flip(a)]. 25 (x * y) \ (y * x) = K(y,x) # label("commutator"). [assumption]. kept: 26 K(x,y) = (y * x) \ (x * y). [copy(25),flip(a)]. 27 (x * y) \ (x * (y * z)) = L(z,y,x). [assumption]. kept: 28 L(x,y,z) = (z * y) \ (z * (y * x)). [copy(27),flip(a)]. 29 ((x * y) * z) / (y * z) = R(x,y,z). [assumption]. kept: 30 R(x,y,z) = ((x * y) * z) / (y * z). [copy(29),flip(a)]. 31 x \ (y * x) = T(y,x). [assumption]. kept: 32 T(x,y) = y \ (x * y). [copy(31),flip(a)]. kept: 33 a(x,y,z) != 1 | L(z,y,x) = z. [clausify(5)]. kept: 34 L(x,y,z) != x | a(z,y,x) = 1. [clausify(6)]. kept: 35 T(x,y) != x | T(y,x) = y. [clausify(7)]. kept: 36 T(x,y) != x | K(x,y) = 1. [clausify(8)]. kept: 37 K(x,y) != 1 | T(x,y) = x. [clausify(9)]. kept: 38 T(T(x,y),z) = T(T(x,z),y). [assumption]. 39 T(L(x,y,z),u) = L(T(x,u),y,z). [assumption]. kept: 40 L(T(x,y),z,u) = T(L(x,z,u),y). [copy(39),flip(a)]. 41 T(R(x,y,z),u) = R(T(x,u),y,z). [assumption]. kept: 42 R(T(x,y),z,u) = T(R(x,z,u),y). [copy(41),flip(a)]. 43 L(R(x,y,z),u,w) = R(L(x,u,w),y,z). [assumption]. kept: 44 R(L(x,y,z),u,w) = L(R(x,u,w),y,z). [copy(43),flip(a)]. kept: 45 L(L(x,y,z),u,w) = L(L(x,u,w),y,z). [assumption]. kept: 46 R(R(x,y,z),u,w) = R(R(x,u,w),y,z). [assumption]. kept: 47 x * ((y * x) \ 1) = y \ 1 # label("WIP"). [assumption]. kept: 48 a(c1,K(c2,c3),c4) != a(c1,c2,K(c4,c3)) # label("aK2_eq_aK3") # answer("aK2_eq_aK3"). [deny(10)]. ============================== end of process initial clauses ======== ============================== CLAUSES FOR SEARCH ==================== % Clauses after input processing: formulas(usable). 48 a(c1,K(c2,c3),c4) != a(c1,c2,K(c4,c3)) # label("aK2_eq_aK3") # answer("aK2_eq_aK3"). [deny(10)]. end_of_list. formulas(sos). 11 1 * x = x. [assumption]. 12 x * 1 = x. [assumption]. 13 x \ (x * y) = y. [assumption]. 14 x * (x \ y) = y. [assumption]. 15 (x * y) / y = x. [assumption]. 16 (x / y) * y = x. [assumption]. 17 x * y != z | x * u != z | u = y. [clausify(1)]. 18 x * y != z | u * y != z | u = x. [clausify(2)]. 19 x * y != x * z | y = z. [clausify(3)]. 20 x * y != z * y | x = z. [clausify(4)]. 21 x != y | z * x = z * y. [assumption]. 22 x != y | x * z = y * z. [assumption]. 24 a(x,y,z) = (x * (y * z)) \ ((x * y) * z). [copy(23),flip(a)]. 26 K(x,y) = (y * x) \ (x * y). [copy(25),flip(a)]. 28 L(x,y,z) = (z * y) \ (z * (y * x)). [copy(27),flip(a)]. 30 R(x,y,z) = ((x * y) * z) / (y * z). [copy(29),flip(a)]. 32 T(x,y) = y \ (x * y). [copy(31),flip(a)]. 33 a(x,y,z) != 1 | L(z,y,x) = z. [clausify(5)]. 34 L(x,y,z) != x | a(z,y,x) = 1. [clausify(6)]. 35 T(x,y) != x | T(y,x) = y. [clausify(7)]. 36 T(x,y) != x | K(x,y) = 1. [clausify(8)]. 37 K(x,y) != 1 | T(x,y) = x. [clausify(9)]. 38 T(T(x,y),z) = T(T(x,z),y). [assumption]. 40 L(T(x,y),z,u) = T(L(x,z,u),y). [copy(39),flip(a)]. 42 R(T(x,y),z,u) = T(R(x,z,u),y). [copy(41),flip(a)]. 44 R(L(x,y,z),u,w) = L(R(x,u,w),y,z). [copy(43),flip(a)]. 45 L(L(x,y,z),u,w) = L(L(x,u,w),y,z). [assumption]. 46 R(R(x,y,z),u,w) = R(R(x,u,w),y,z). [assumption]. 47 x * ((y * x) \ 1) = y \ 1 # label("WIP"). [assumption]. end_of_list. formulas(demodulators). end_of_list. % 15277 hints (19764 processed, 4487 redundant). ============================== end of clauses for search ============= ============================== SEARCH ================================ % Starting search at 0.60 seconds. given #1 (I,wt=5): 11 1 * x = x. [assumption]. given #2 (I,wt=5): 12 x * 1 = x. [assumption]. given #3 (I,wt=7): 13 x \ (x * y) = y. [assumption]. given #4 (I,wt=7): 14 x * (x \ y) = y. [assumption]. given #5 (I,wt=7): 15 (x * y) / y = x. [assumption]. given #6 (I,wt=7): 16 (x / y) * y = x. [assumption]. given #7 (I,wt=13): 17 x * y != z | x * u != z | u = y. [clausify(1)]. given #8 (I,wt=13): 18 x * y != z | u * y != z | u = x. [clausify(2)]. given #9 (I,wt=10): 19 x * y != x * z | y = z. [clausify(3)]. given #10 (I,wt=10): 20 x * y != z * y | x = z. [clausify(4)]. given #11 (I,wt=10): 21 x != y | z * x = z * y. [assumption]. given #12 (I,wt=10): 22 x != y | x * z = y * z. [assumption]. given #13 (I,wt=16): 24 a(x,y,z) = (x * (y * z)) \ ((x * y) * z). [copy(23),flip(a)]. given #14 (I,wt=11): 26 K(x,y) = (y * x) \ (x * y). [copy(25),flip(a)]. given #15 (I,wt=14): 28 L(x,y,z) = (z * y) \ (z * (y * x)). [copy(27),flip(a)]. given #16 (I,wt=14): 30 R(x,y,z) = ((x * y) * z) / (y * z). [copy(29),flip(a)]. given #17 (I,wt=9): 32 T(x,y) = y \ (x * y). [copy(31),flip(a)]. given #18 (I,wt=12): 33 a(x,y,z) != 1 | L(z,y,x) = z. [clausify(5)]. given #19 (I,wt=12): 34 L(x,y,z) != x | a(z,y,x) = 1. [clausify(6)]. given #20 (I,wt=10): 35 T(x,y) != x | T(y,x) = y. [clausify(7)]. given #21 (I,wt=10): 36 T(x,y) != x | K(x,y) = 1. [clausify(8)]. given #22 (I,wt=10): 37 K(x,y) != 1 | T(x,y) = x. [clausify(9)]. given #23 (I,wt=11): 38 T(T(x,y),z) = T(T(x,z),y). [assumption]. given #24 (I,wt=13): 40 L(T(x,y),z,u) = T(L(x,z,u),y). [copy(39),flip(a)]. given #25 (I,wt=13): 42 R(T(x,y),z,u) = T(R(x,z,u),y). [copy(41),flip(a)]. given #26 (I,wt=15): 44 R(L(x,y,z),u,w) = L(R(x,u,w),y,z). [copy(43),flip(a)]. given #27 (I,wt=15): 45 L(L(x,y,z),u,w) = L(L(x,u,w),y,z). [assumption]. given #28 (I,wt=15): 46 R(R(x,y,z),u,w) = R(R(x,u,w),y,z). [assumption]. given #29 (I,wt=11): 47 x * ((y * x) \ 1) = y \ 1 # label("WIP"). [assumption]. given #30 (H,wt=5): 51 1 \ x = x. [para(11(a,1),13(a,1,2))]. given #31 (H,wt=5): 52 x \ x = 1. [para(12(a,1),13(a,1,2))]. given #32 (H,wt=5): 58 x / x = 1. [para(11(a,1),15(a,1,1))]. given #33 (H,wt=5): 59 x / 1 = x. [para(12(a,1),15(a,1,1))]. given #34 (H,wt=5): 112 T(x,x) = x. [para(32(a,2),13(a,1))]. given #35 (H,wt=7): 49 (1 * x) * 1 = x. [para(12(a,2),11(a,1))]. given #36 (H,wt=7): 50 x * (1 * 1) = x. [para(11(a,2),12(a,1,2))]. given #37 (H,wt=7): 61 x / (y \ x) = y. [para(14(a,1),15(a,1,1))]. given #38 (H,wt=7): 64 (x / y) \ x = y. [para(16(a,1),13(a,1,2))]. given #39 (H,wt=7): 122 1 \ (x * 1) = x. [hyper(18,a,12,a,b,51,a(flip)),flip(a)]. given #40 (H,wt=5): 143 T(x,1) = x. [para(122(a,1),32(a,2))]. given #41 (H,wt=5): 145 K(x,1) = 1. [hyper(36,a,143,a)]. given #42 (H,wt=5): 146 T(1,x) = 1. [hyper(35,a,143,a)]. given #43 (H,wt=5): 147 K(1,x) = 1. [hyper(36,a,146,a)]. given #44 (H,wt=7): 126 (x \ x) \ y = y. [para(52(a,2),51(a,1,1))]. given #45 (H,wt=7): 131 x / 1 = 1 * x. [hyper(18,a,16,a,b,49,a),flip(a)]. given #46 (H,wt=7): 132 x \ x = 1 * 1. [hyper(17,a,14,a,b,50,a),flip(a)]. given #47 (H,wt=7): 144 1 \ x = 1 * x. [para(49(a,1),122(a,1,2))]. given #48 (H,wt=8): 73 1 * x != y | y = x. [para(11(a,1),19(a,1)),flip(a)]. given #49 (H,wt=8): 74 1 * x != y | x = y. [para(11(a,1),19(a,2))]. given #50 (H,wt=8): 81 x * 1 != y | y = x. [para(12(a,1),20(a,1)),flip(a)]. given #51 (H,wt=8): 82 x * 1 != y | x = y. [para(12(a,1),20(a,2))]. given #52 (H,wt=8): 148 x / 1 != y | y = x. [para(131(a,2),73(a,1))]. given #53 (H,wt=8): 149 x \ x != y | 1 = y. [para(132(a,2),73(a,1)),flip(b)]. given #54 (H,wt=8): 150 1 \ x != y | y = x. [para(144(a,2),73(a,1))]. given #55 (H,wt=8): 152 x / 1 != y | x = y. [para(131(a,2),74(a,1))]. given #56 (H,wt=8): 153 1 \ x != y | x = y. [para(144(a,2),74(a,1))]. given #57 (H,wt=9): 54 (x * (x \ 1)) * y = y. [para(14(a,2),11(a,1,1))]. given #58 (H,wt=9): 55 x * (y * (y \ 1)) = x. [para(14(a,2),12(a,1,2))]. given #59 (H,wt=9): 62 ((1 / x) * x) * y = y. [para(16(a,2),11(a,1,1))]. given #60 (H,wt=9): 63 x * ((1 / y) * y) = x. [para(16(a,2),12(a,1,2))]. given #61 (H,wt=9): 113 x * T(y,x) = y * x. [para(32(a,2),14(a,1,2))]. given #62 (H,wt=9): 115 T(x / y,y) = y \ x. [para(16(a,1),32(a,2,2))]. given #63 (H,wt=9): 123 (x * (x \ 1)) \ y = y. [para(14(a,2),51(a,1,1))]. given #64 (H,wt=9): 124 ((1 / x) * x) \ y = y. [para(16(a,2),51(a,1,1))]. given #65 (H,wt=9): 127 x / (y * (y \ 1)) = x. [para(14(a,2),59(a,1,2))]. given #66 (H,wt=9): 128 x / ((1 / y) * y) = x. [para(16(a,2),59(a,1,2))]. given #67 (H,wt=9): 129 T(T(x,y),x) = T(x,y). [para(112(a,1),38(a,1,1)),flip(a)]. given #68 (H,wt=7): 196 T(x,T(x,y)) = x. [hyper(35,a,129,a)]. given #69 (H,wt=9): 137 (x * y) / T(x,y) = y. [para(32(a,2),61(a,1,2))]. given #70 (H,wt=9): 165 T((x * y) / x,x) = y. [hyper(17,a,16,a(flip),b,113,a)]. given #71 (H,wt=9): 166 (x * T(y,x)) / x = y. [hyper(18,a,16,a,b,113,a(flip)),flip(a)]. given #72 (H,wt=9): 167 x \ (y * T(x,y)) = y. [hyper(17,a,14,a,b,113,a(flip)),flip(a)]. given #73 (H,wt=9): 170 x * T(y / x,x) = y. [para(113(a,2),16(a,1))]. given #74 (H,wt=10): 77 x * y != z | x \ z = y. [para(14(a,1),19(a,1)),flip(a)]. given #75 (H,wt=10): 79 (x / y) * z != x | z = y. [para(16(a,1),19(a,2))]. given #76 (H,wt=10): 84 x * (y \ z) != z | x = y. [para(14(a,1),20(a,2))]. given #77 (H,wt=10): 85 x * y != z | z / y = x. [para(16(a,1),20(a,1)),flip(a)]. given #78 (H,wt=11): 53 x \ (x * (y \ (y * z))) = z. [para(13(a,2),13(a,1))]. given #79 (H,wt=11): 56 x \ (y * (y \ (x * z))) = z. [para(14(a,2),13(a,1,2))]. given #80 (H,wt=9): 207 x \ (y * (y \ x)) = 1. [para(12(a,1),56(a,1,2,2,2))]. given #81 (H,wt=9): 210 x * (x \ y) = y * 1. [para(207(a,1),14(a,1,2)),flip(a)]. given #82 (H,wt=9): 212 (x / y) * y = x * 1. [para(64(a,1),210(a,1,2))]. given #83 (H,wt=10): 213 x * (x \ y) != z | z = y. [para(210(a,2),81(a,1))]. given #84 (H,wt=10): 215 (x / y) * y != z | z = x. [para(212(a,2),81(a,1))]. given #85 (H,wt=11): 57 x * (y * (y \ (x \ z))) = z. [para(14(a,2),14(a,1,2))]. given #86 (H,wt=11): 60 x * (((x \ y) * z) / z) = y. [para(15(a,2),14(a,1,2))]. given #87 (H,wt=11): 65 (x \ (x * (y / z))) * z = y. [para(13(a,2),16(a,1,1))]. given #88 (H,wt=11): 66 ((x * (x \ y)) / z) * z = y. [para(16(a,2),14(a,1))]. given #89 (H,wt=11): 67 (((x * y) / z) * z) / y = x. [para(16(a,2),15(a,1,1))]. given #90 (H,wt=11): 68 (((x / y) / z) * z) * y = x. [para(16(a,2),16(a,1,1))]. given #91 (H,wt=11): 69 x != y | 1 * z != y | z = x. [para(11(a,1),17(a,1))]. given #92 (H,wt=9): 228 x != y | z != y | z = x. [para(11(a,1),69(b,1))]. given #93 (H,wt=9): 232 (x / y) * y = 1 * x. [hyper(228,a,16,a,b,11,a),flip(a)]. given #94 (H,wt=11): 70 x != y | x * z != y | 1 = z. [para(12(a,1),17(a,1)),flip(c)]. given #95 (H,wt=11): 86 x * (y * (y \ z)) = x * z. [hyper(21,a,14,a)]. given #96 (H,wt=11): 87 ((x / y) * y) * z = x * z. [hyper(22,a,16,a)]. given #97 (H,wt=11): 88 (x * (x \ y)) * z = y * z. [hyper(22,a,14,a)]. given #98 (H,wt=11): 93 (x * y) * K(y,x) = y * x. [para(26(a,2),14(a,1,2))]. given #99 (H,wt=11): 114 T(x,x \ y) = (x \ y) \ y. [para(14(a,1),32(a,2,2))]. given #100 (H,wt=11): 118 (x * y) \ 1 = y \ (x \ 1). [hyper(17,a,14,a,b,47,a)]. given #101 (H,wt=11): 119 (x \ y) * (y \ 1) = x \ 1. [para(14(a,1),47(a,1,2,1))]. given #102 (H,wt=11): 120 (x / y) \ 1 = y * (x \ 1). [para(16(a,1),47(a,1,2,1)),flip(a)]. given #103 (H,wt=11): 130 T(L(x,y,z),x) = L(x,y,z). [para(112(a,1),40(a,1,1)),flip(a)]. given #104 (H,wt=8): 260 T(x,L(x,y,z)) = x. [hyper(35,a,130,a)]. given #105 (H,wt=11): 133 (x / (y \ x)) * z = y * z. [hyper(22,a,61,a)]. given #106 (H,wt=11): 135 (x * y) / K(x,y) = y * x. [para(26(a,2),61(a,1,2))]. given #107 (H,wt=11): 138 x / (y / ((z \ x) \ y)) = z. [para(61(a,2),61(a,1,2))]. given #108 (H,wt=11): 139 ((x / y) \ x) * z = y * z. [hyper(22,a,64,a)]. given #109 (H,wt=11): 140 x * ((y / (x \ z)) \ y) = z. [para(64(a,2),14(a,1,2))]. given #110 (H,wt=11): 142 ((x / (y / z)) \ x) \ y = z. [para(64(a,2),64(a,1,1))]. given #111 (H,wt=11): 168 (x \ y) * T(x,x \ y) = y. [para(113(a,2),14(a,1))]. given #112 (H,wt=11): 188 T(x / (x / y),x / y) = y. [para(115(a,2),64(a,1))]. given #113 (H,wt=11): 189 K(x \ 1,x) = (x \ 1) * x. [para(123(a,1),26(a,2))]. given #114 (H,wt=11): 192 K(x,1 / x) = x * (1 / x). [para(124(a,1),26(a,2))]. given #115 (H,wt=11): 198 T(x,y) * x = x * T(x,y). [para(129(a,1),113(a,1,2)),flip(a)]. given #116 (H,wt=11): 199 x / T(y,y \ x) = y \ x. [para(14(a,1),137(a,1,1))]. given #117 (H,wt=11): 208 (x / y) \ (z * (z \ x)) = y. [para(16(a,1),56(a,1,2,2,2))]. given #118 (H,wt=11): 216 (x / y) * y = z * (z \ x). [para(212(a,2),210(a,2)),flip(a)]. given #119 (H,wt=11): 224 ((x * (x \ y)) / z) \ y = z. [hyper(77,a,66,a)]. given #120 (H,wt=11): 225 ((x / y) * y) / z = x / z. [para(16(a,1),67(a,1,1,1,1))]. given #121 (H,wt=11): 227 ((x / y) * y) * (x \ z) = z. [para(61(a,1),68(a,1,1,1,1))]. given #122 (H,wt=11): 229 (x / y) \ x = z * (z \ y). [hyper(228,a,64,a,b,14,a),flip(a)]. given #123 (H,wt=10): 283 (x / y) \ x != z | z = y. [para(229(a,2),213(a,1))]. given #124 (H,wt=10): 284 x \ (x * y) != z | z = y. [para(15(a,1),283(a,1,1))]. given #125 (H,wt=11): 230 x / (y \ x) = z * (z \ y). [hyper(228,a,61,a,b,14,a),flip(a)]. given #126 (H,wt=10): 293 x / (y \ x) != z | z = y. [para(230(a,2),213(a,1))]. given #127 (H,wt=8): 297 x / x != y | 1 = y. [para(51(a,1),293(a,1,2)),flip(b)]. given #128 (H,wt=10): 295 (x * y) / y != z | z = x. [para(13(a,1),293(a,1,2))]. given #129 (H,wt=11): 231 (x * y) / y = (x / z) * z. [hyper(228,a,16,a,b,15,a)]. given #130 (H,wt=11): 233 x \ (x * y) = z * (z \ y). [hyper(228,a,14,a,b,13,a)]. given #131 (H,wt=11): 235 (x / (y * (y \ z))) * z = x. [hyper(215,a,86,a)]. given #132 (H,wt=11): 249 (x \ y) \ (x \ 1) = y \ 1. [para(14(a,1),118(a,1,1)),flip(a)]. given #133 (H,wt=11): 255 1 / ((x \ y) * (y \ 1)) = x. [para(119(a,2),61(a,1,2))]. given #134 (H,wt=11): 256 (x \ (1 / y)) * y = x \ 1. [para(64(a,1),119(a,1,2))]. given #135 (H,wt=11): 259 1 / (x * (y \ 1)) = y / x. [para(120(a,1),61(a,1,2))]. given #136 (H,wt=11): 262 ((x / y) \ x) * (y \ z) = z. [hyper(228,a,14,a(flip),b,139,a)]. given #137 (H,wt=11): 263 x * (((y / x) \ y) \ z) = z. [hyper(213,a,139,a)]. given #138 (H,wt=11): 265 (x / y) * ((z / y) \ z) = x. [para(64(a,1),140(a,1,2,1,2))]. given #139 (H,wt=11): 270 K(x \ 1,x) / x = x \ 1. [hyper(85,a,189,a(flip))]. given #140 (H,wt=11): 271 (x \ 1) \ K(x \ 1,x) = x. [hyper(77,a,189,a(flip))]. given #141 (H,wt=11): 277 (((x / y) * y) / z) \ x = z. [hyper(79,a,216,a(flip))]. given #142 (H,wt=11): 278 x / (y \ ((x / z) * z)) = y. [hyper(18,a,140,a,b,216,a(flip))]. given #143 (H,wt=11): 282 ((1 / x) \ y) \ x = y \ 1. [hyper(17,a,119,a,b,229,a(flip))]. given #144 (H,wt=11): 292 (x * (x \ y)) \ z = y \ z. [para(230(a,1),64(a,1,1))]. given #145 (H,wt=11): 304 (x \ 1) / y = x \ (1 / y). [hyper(85,a,256,a)]. given #146 (H,wt=11): 308 (1 / x) / y = 1 / (y * x). [para(64(a,1),259(a,1,2,2)),flip(a)]. given #147 (H,wt=11): 317 x / (y \ 1) = (1 / x) \ y. [para(282(a,1),61(a,1,2))]. given #148 (H,wt=11): 320 (1 / x) \ (1 / y) = x / y. [para(64(a,1),304(a,1,1)),flip(a)]. given #149 (H,wt=11): 321 (1 / (x * y)) * x = 1 / y. [para(308(a,1),16(a,1,1))]. given #150 (H,wt=11): 326 1 / (x \ y) = (1 / y) * x. [para(14(a,1),321(a,1,1,2)),flip(a)]. given #151 (H,wt=12): 75 (x * y) * 1 != x * z | z = y. [para(12(a,2),19(a,2)),flip(a)]. given #152 (H,wt=10): 331 x * y != x * z | z = y. [para(12(a,1),75(a,1))]. given #153 (H,wt=12): 98 (x * 1) \ (x * y) = L(y,1,x). [para(11(a,1),28(a,2,2,2)),flip(a)]. given #154 (H,wt=10): 332 x \ (x * y) = L(y,1,x). [para(12(a,1),98(a,1,1))]. given #155 (H,wt=6): 333 L(x,1,y) = x. [hyper(284,a,332,a)]. given #156 (H,wt=9): 334 L(x,1,y) != z | z = x. [para(332(a,1),284(a,1))]. given #157 (H,wt=12): 99 (x * y) \ (x * y) = L(1,y,x). [para(12(a,1),28(a,2,2,2)),flip(a)]. given #158 (H,wt=6): 336 L(1,x,y) = 1. [hyper(149,a,99,a),flip(a)]. given #159 (H,wt=6): 338 a(x,y,1) = 1. [hyper(34,a,336,a)]. given #160 (H,wt=12): 105 ((x * 1) * y) / y = R(x,1,y). [para(11(a,1),30(a,2,2)),flip(a)]. given #161 (H,wt=10): 339 (x * y) / y = R(x,1,y). [para(12(a,1),105(a,1,1,1))]. given #162 (H,wt=6): 340 R(x,1,y) = x. [hyper(295,a,339,a)]. given #163 (H,wt=9): 341 R(x,1,y) != z | z = x. [para(339(a,1),295(a,1))]. given #164 (H,wt=12): 106 (x * y) / (y * 1) = R(x,y,1). [para(12(a,1),30(a,2,1)),flip(a)]. given #165 (H,wt=10): 343 (x * y) / y = R(x,y,1). [para(12(a,1),106(a,1,2))]. given #166 (H,wt=6): 344 R(x,y,1) = x. [hyper(295,a,343,a)]. given #167 (H,wt=12): 151 ((1 / x) * x) * y != z | y = z. [para(16(a,2),74(a,1,1))]. given #168 (H,wt=12): 154 x * (y * (y \ 1)) != z | z = x. [para(14(a,2),81(a,1,2))]. given #169 (H,wt=12): 155 x / (y * (y \ 1)) != z | z = x. [para(14(a,2),148(a,1,2))]. given #170 (H,wt=12): 156 x / ((1 / y) * y) != z | z = x. [para(16(a,2),148(a,1,2))]. given #171 (H,wt=12): 157 (x * (x \ 1)) \ y != z | z = y. [para(14(a,2),150(a,1,1))]. given #172 (H,wt=12): 158 ((1 / x) * x) \ y != z | z = y. [para(16(a,2),150(a,1,1))]. given #173 (H,wt=12): 161 L(x \ 1,x,y) = (y * x) \ y. [para(55(a,1),28(a,2,2))]. given #174 (H,wt=12): 162 R(1 / x,x,y) = y / (x * y). [para(62(a,1),30(a,2,1))]. given #175 (H,wt=12): 172 x * y != z * x | T(z,x) = y. [para(113(a,1),19(a,1)),flip(a)]. given #176 (H,wt=12): 173 x * T(y,x) != y * z | z = x. [para(113(a,2),19(a,2)),flip(a)]. given #177 (H,wt=12): 174 x * T(y,x) != z * x | z = y. [para(113(a,2),20(a,2)),flip(a)]. given #178 (H,wt=12): 211 x * 1 != y * z | y \ x = z. [para(210(a,1),19(a,1))]. given #179 (H,wt=12): 214 x * 1 != y * z | x / z = y. [para(212(a,1),20(a,1))]. given #180 (H,wt=12): 219 x * T(y,x) != z | y * x = z. [para(32(a,2),213(a,1,2)),flip(b)]. given #181 (H,wt=12): 220 x * y != z | y * T(x,y) = z. [para(167(a,1),213(a,1,2)),flip(b)]. given #182 (H,wt=12): 234 1 * x != y * z | x / z = y. [para(232(a,1),20(a,1))]. given #183 (H,wt=12): 285 x \ (y * x) != z | T(y,x) = z. [para(137(a,1),283(a,1,1)),flip(b)]. given #184 (H,wt=12): 289 x \ y != z | T(y / x,x) = z. [para(170(a,1),284(a,1,2)),flip(b)]. given #185 (H,wt=12): 290 x \ (y * (y \ x)) != z | 1 = z. [para(210(a,2),284(a,1,2)),flip(b)]. given #186 (H,wt=12): 298 (x * T(y,x)) / x != z | z = y. [para(167(a,1),293(a,1,2))]. given #187 (H,wt=12): 352 L(x \ 1,x,1 / x) = 1 / x. [hyper(228,a,124,a(flip),b,161,a)]. given #188 (H,wt=12): 354 (x * y) * L(y \ 1,y,x) = x. [para(161(a,2),14(a,1,2))]. given #189 (H,wt=12): 359 x / L(y \ 1,y,x) = x * y. [para(161(a,2),61(a,1,2))]. given #190 (H,wt=12): 360 R(1 / x,x,x \ 1) = x \ 1. [hyper(228,a,127,a(flip),b,162,a)]. given #191 (H,wt=12): 365 R(1 / x,x,y) \ y = x * y. [para(162(a,2),64(a,1,1))]. given #192 (H,wt=13): 71 x != y | z * u != y | z \ x = u. [para(14(a,1),17(a,1)),flip(c)]. given #193 (H,wt=13): 72 x != y | z * u != y | x / u = z. [para(16(a,1),18(a,1)),flip(c)]. given #194 (H,wt=13): 94 x \ ((y \ x) * y) = K(y \ x,y). [para(14(a,1),26(a,2,1)),flip(a)]. given #195 (H,wt=13): 95 ((x \ y) * x) \ y = K(x,x \ y). [para(14(a,1),26(a,2,2)),flip(a)]. given #196 (H,wt=13): 96 x \ (y * (x / y)) = K(y,x / y). [para(16(a,1),26(a,2,1)),flip(a)]. given #197 (H,wt=13): 97 (x * (y / x)) \ y = K(y / x,x). [para(16(a,1),26(a,2,2)),flip(a)]. given #198 (H,wt=13): 169 x * (y * (y \ T(z,x))) = z * x. [para(14(a,2),113(a,1,2))]. given #199 (H,wt=13): 182 x * T(T(y,x),z) = T(y,z) * x. [para(38(a,1),113(a,1,2))]. given #200 (H,wt=13): 185 T(T(x / y,z),y) = T(y \ x,z). [para(115(a,1),38(a,1,1)),flip(a)]. given #201 (H,wt=13): 197 T(T(T(x,y),z),x) = T(T(x,y),z). [para(129(a,1),38(a,1,1)),flip(a)]. given #202 (H,wt=9): 415 T(x,T(T(x,y),z)) = x. [hyper(35,a,197,a)]. given #203 (H,wt=9): 416 K(x,T(T(x,y),z)) = 1. [hyper(36,a,415,a)]. given #204 (H,wt=13): 200 (T(x,y) * z) / T(T(x,z),y) = z. [para(38(a,1),137(a,1,2))]. given #205 (H,wt=13): 201 T(T((x * y) / x,z),x) = T(y,z). [para(165(a,1),38(a,1,1)),flip(a)]. given #206 (H,wt=13): 202 T((x * y) / x,y) = (x * y) / x. [para(165(a,1),196(a,1,2))]. given #207 (H,wt=9): 421 T(x,(y * x) / y) = x. [hyper(35,a,202,a)]. given #208 (H,wt=13): 203 (x * T(T(y,x),z)) / x = T(y,z). [para(38(a,1),166(a,1,1,2))]. given #209 (H,wt=13): 239 x * K(y \ x,y) = (y \ x) * y. [hyper(228,a,88,a(flip),b,93,a(flip)),flip(a)]. given #210 (H,wt=13): 240 x * K(y,x / y) = y * (x / y). [hyper(228,a,87,a(flip),b,93,a(flip)),flip(a)]. given #211 (H,wt=13): 250 T(x,y) \ (y \ 1) = (x * y) \ 1. [para(113(a,1),118(a,1,1)),flip(a)]. given #212 (H,wt=13): 261 x / K(y,y \ x) = (y \ x) * y. [para(14(a,1),135(a,1,1))]. given #213 (H,wt=13): 269 x * T(x \ 1,x) = K(x \ 1,x). [hyper(228,a,113,a,b,189,a),flip(a)]. given #214 (H,wt=13): 273 x \ K(x \ 1,x) = T(x \ 1,x). [para(189(a,2),32(a,2,2)),flip(a)]. given #215 (H,wt=13): 305 T(x \ (1 / y),y) = y \ (x \ 1). [para(256(a,1),32(a,2,2))]. given #216 (H,wt=13): 322 T(1 / (x * y),x) = x \ (1 / y). [para(308(a,1),115(a,1,1))]. given #217 (H,wt=13): 328 (1 / (x * y)) * y = 1 / T(x,y). [para(113(a,1),321(a,1,1,2))]. given #218 (H,wt=13): 402 x \ ((x \ 1) \ 1) = K(x,x \ 1). [hyper(228,a,118,a(flip),b,95,a(flip)),flip(a)]. given #219 (H,wt=13): 403 x * K(x,x \ 1) = (x \ 1) \ 1. [para(95(a,1),47(a,1,2))]. given #220 (H,wt=13): 404 K(x \ 1,x) \ 1 = K(x,x \ 1). [para(189(a,2),95(a,1,1))]. given #221 (H,wt=13): 429 T(x,y) \ (y \ 1) = y \ (x \ 1). [hyper(228,a,118,a(flip),b,250,a)]. given #222 (H,wt=13): 430 1 / K(x,x \ 1) = K(x \ 1,x). [hyper(228,a,189,a,b,261,a)]. given #223 (H,wt=13): 432 x * K(x,x \ 1) = T(x,x \ 1). [hyper(228,a,114,a,b,403,a)]. given #224 (H,wt=14): 76 x \ (x * (y * z)) != y * u | u = z. [para(13(a,2),19(a,2)),flip(a)]. given #225 (H,wt=14): 78 x * (x \ (y * z)) != y * u | u = z. [para(14(a,2),19(a,2)),flip(a)]. given #226 (H,wt=14): 80 ((x * y) / z) * z != x * u | u = y. [para(16(a,2),19(a,2)),flip(a)]. given #227 (H,wt=14): 83 x \ (x * (y * z)) != u * z | u = y. [para(13(a,2),20(a,2)),flip(a)]. given #228 (H,wt=14): 100 (x * y) * L(z,y,x) = x * (y * z). [para(28(a,2),14(a,1,2))]. given #229 (H,wt=12): 440 L(x \ T(y * x,y),x,y) = y. [hyper(17,a,169,a(flip),b,100,a)]. given #230 (H,wt=14): 102 L(x \ y,x,z) = (z * x) \ (z * y). [para(14(a,1),28(a,2,2,2))]. given #231 (H,wt=14): 109 R(x,y,z) * (y * z) = (x * y) * z. [para(30(a,2),16(a,1,1))]. given #232 (H,wt=14): 110 R(x / y,y,z) = (x * z) / (y * z). [para(16(a,1),30(a,2,1,1))]. given #233 (H,wt=14): 121 x \ 1 != y * z | (x * y) \ 1 = z. [para(47(a,1),19(a,1))]. given #234 (H,wt=14): 136 (x * (y * z)) / L(z,y,x) = x * y. [para(28(a,2),61(a,1,2))]. given #235 (H,wt=14): 141 R(x,y,z) \ ((x * y) * z) = y * z. [para(30(a,2),64(a,1,1))]. given #236 (H,wt=14): 159 R(x,x \ 1,y) = y / ((x \ 1) * y). [para(54(a,1),30(a,2,1))]. given #237 (H,wt=14): 164 L(x,1 / x,y) = (y * (1 / x)) \ y. [para(63(a,1),28(a,2,2))]. given #238 (H,wt=14): 190 x * ((x \ 1) * y) = L(y,x \ 1,x). [para(123(a,1),28(a,2)),flip(a)]. given #239 (H,wt=14): 193 (1 / x) * (x * y) = L(y,x,1 / x). [para(124(a,1),28(a,2)),flip(a)]. given #240 (H,wt=14): 194 (x * y) * (y \ 1) = R(x,y,y \ 1). [para(127(a,1),30(a,2)),flip(a)]. given #241 (H,wt=14): 195 (x * (1 / y)) * y = R(x,1 / y,y). [para(128(a,1),30(a,2)),flip(a)]. given #242 (H,wt=14): 204 x * K(y,z) != y * z | z * y = x. [para(26(a,2),84(a,1,2)),flip(b)]. given #243 (H,wt=14): 206 x * ((y / (z \ u)) \ y) != u | x = z. [para(64(a,2),84(a,1,2))]. given #244 (H,wt=14): 209 x \ ((x * y) * L(z,y,x)) = y * z. [para(28(a,2),56(a,1,2,2))]. given #245 (H,wt=14): 222 L(x \ (y \ z),x,y) = (y * x) \ z. [para(57(a,1),28(a,2,2))]. given #246 (H,wt=14): 226 R((x / y) / z,z,y) = x / (z * y). [para(68(a,1),30(a,2,1))]. given #247 (H,wt=14): 236 x * y != z * y | (z / u) * u = x. [para(87(a,1),20(a,2)),flip(b)]. given #248 (H,wt=14): 237 ((x / y) * y) * z != u | x \ u = z. [para(87(a,2),77(a,1))]. given #249 (H,wt=14): 238 (x * (x \ y)) * z != y * u | u = z. [para(88(a,1),19(a,1)),flip(a)]. given #250 (H,wt=14): 241 (x * y) * z != y * x | K(y,x) = z. [para(93(a,1),19(a,1)),flip(a)]. given #251 (H,wt=14): 242 (x * y) * K(y,x) != y * z | z = x. [para(93(a,2),19(a,2)),flip(a)]. given #252 (H,wt=14): 252 (x \ y) * z != x \ 1 | y \ 1 = z. [para(119(a,1),19(a,1)),flip(a)]. given #253 (H,wt=14): 264 ((x / y) \ x) * z != u | y \ u = z. [para(139(a,2),77(a,1))]. given #254 (H,wt=14): 266 (x \ y) * z != y | T(x,x \ y) = z. [para(168(a,1),19(a,1)),flip(a)]. given #255 (H,wt=14): 275 T(x,y) * x != x * z | T(x,y) = z. [para(198(a,2),19(a,1))]. given #256 (H,wt=14): 276 x * (x \ y) != z * u | y / u = z. [para(208(a,1),84(a,1,2)),flip(a),flip(b)]. given #257 (H,wt=14): 279 (x / y) * y != z * u | z \ x = u. [para(216(a,2),19(a,1))]. given #258 (H,wt=14): 286 (x * y) \ (y * x) != z | K(y,x) = z. [para(135(a,1),283(a,1,1)),flip(b)]. given #259 (H,wt=14): 287 (x \ y) \ y != z | T(x,x \ y) = z. [para(199(a,1),283(a,1,1)),flip(b)]. given #260 (H,wt=14): 288 x \ (y \ 1) != z | (y * x) \ 1 = z. [para(47(a,1),284(a,1,2)),flip(b)]. given #261 (H,wt=14): 291 (x \ y) \ (x \ 1) != z | y \ 1 = z. [para(119(a,1),284(a,1,2)),flip(b)]. given #262 (H,wt=14): 294 (x * (x \ y)) \ z != u | y \ z = u. [para(230(a,1),283(a,1,1)),flip(b)]. given #263 (H,wt=14): 299 (x * y) / y != z * u | x / u = z. [para(231(a,2),20(a,1))]. given #264 (H,wt=14): 300 ((x / y) * y) * z != u | x * z = u. [para(231(a,1),215(a,1,1)),flip(b)]. given #265 (H,wt=14): 301 x \ (x * y) != z * u | z \ y = u. [para(233(a,2),19(a,1))]. given #266 (H,wt=14): 302 x * (y * (y \ z)) != u | x * z = u. [para(233(a,1),213(a,1,2)),flip(b)]. given #267 (H,wt=14): 307 (x \ 1) / y != z | x \ (1 / y) = z. [para(256(a,1),295(a,1,1)),flip(b)]. given #268 (H,wt=14): 311 (x / y) \ 1 != z | y * (x \ 1) = z. [para(259(a,1),283(a,1,1)),flip(b)]. given #269 (H,wt=14): 313 x * ((y / z) \ y) != u | u / z = x. [para(265(a,1),20(a,1)),flip(a)]. given #270 (H,wt=14): 315 (x \ 1) * x != y | K(x \ 1,x) = y. [para(270(a,1),215(a,1,1)),flip(b)]. given #271 (H,wt=14): 319 x / (y \ 1) != z | (1 / x) \ y = z. [para(282(a,1),293(a,1,2)),flip(b)]. given #272 (H,wt=14): 329 (1 / x) / y != z | 1 / (y * x) = z. [para(321(a,1),295(a,1,1)),flip(b)]. given #273 (H,wt=14): 346 x * (1 / x) != y | K(x,1 / x) = y. [para(93(a,1),151(a,1))]. given #274 (H,wt=14): 348 K(x \ 1,x) != y | (x \ 1) * x = y. [para(26(a,2),157(a,1)),flip(b)]. given #275 (H,wt=14): 349 K(x,1 / x) != y | x * (1 / x) = y. [para(26(a,2),158(a,1)),flip(b)]. given #276 (H,wt=14): 351 L((x \ y) \ 1,x \ y,x) = y \ x. [hyper(228,a,292,a(flip),b,161,a)]. given #277 (H,wt=14): 355 L(x \ 1,x,y / x) = y \ (y / x). [para(16(a,1),161(a,2,1))]. given #278 (H,wt=14): 361 R(1 / x,x,x \ y) = (x \ y) / y. [para(14(a,1),162(a,2,2))]. given #279 (H,wt=14): 362 R(1 / (x / y),x / y,y) = y / x. [para(16(a,1),162(a,2,2))]. given #280 (H,wt=14): 374 x * (x \ y) != z * u | z \ y = u. [para(210(a,2),211(a,1))]. given #281 (H,wt=14): 376 (x / y) * y != z * u | x / u = z. [para(212(a,2),214(a,1))]. given #282 (H,wt=14): 388 x / L(y,1 / y,x) = x * (1 / y). [para(64(a,1),359(a,1,2,1))]. given #283 (H,wt=14): 391 R(x,x \ 1,y) \ y = (x \ 1) * y. [para(61(a,1),365(a,1,1,1))]. given #284 (H,wt=14): 394 (x * y) \ R(x,y,y \ 1) = y \ 1. [hyper(71,a,30,a,b,127,a(flip))]. given #285 (H,wt=14): 395 (1 / x) \ L(y,x,1 / x) = x * y. [hyper(71,a,28,a,b,124,a(flip))]. given #286 (H,wt=14): 396 x \ L(y,x \ 1,x) = (x \ 1) * y. [hyper(71,a,28,a,b,123,a(flip))]. given #287 (H,wt=14): 397 R(x,y,y \ 1) / (y \ 1) = x * y. [hyper(72,a,30,a,b,127,a(flip))]. given #288 (H,wt=14): 398 ((x * y) \ x) / L(y \ 1,y,x) = 1. [hyper(72,a,161,a(flip),b,11,a)]. given #289 (H,wt=14): 437 x * y != z * u | z \ (x * y) = u. [para(56(a,1),78(a,1,2)),flip(b)]. given #290 (H,wt=14): 438 x \ (x * y) != z * u | y / u = z. [para(16(a,1),83(a,1,2,2)),flip(b)]. given #291 (H,wt=14): 439 (x * y) / L(z \ y,z,x) = x * z. [hyper(72,a,86,a(flip),b,100,a)]. given #292 (H,wt=14): 459 L(x \ y,x,1 / x) = (1 / x) * y. [hyper(228,a,124,a(flip),b,102,a)]. given #293 (H,wt=14): 460 L((x \ 1) \ y,x \ 1,x) = x * y. [hyper(228,a,123,a(flip),b,102,a)]. given #294 (H,wt=14): 473 R(x / y,y,z) \ (x * z) = y * z. [hyper(71,a,87,a(flip),b,109,a)]. given #295 (H,wt=14): 494 R(x / (1 / y),1 / y,y) = x * y. [hyper(228,a,128,a(flip),b,110,a)]. given #296 (H,wt=14): 495 R(x / y,y,y \ 1) = x * (y \ 1). [hyper(228,a,127,a(flip),b,110,a)]. given #297 (H,wt=14): 513 K(x,1 / x) \ x = L(x,1 / x,x). [para(192(a,2),164(a,2,1)),flip(a)]. given #298 (H,wt=14): 537 (x * y) / y != z * u | z \ x = u. [para(231(a,2),279(a,1))]. given #299 (H,wt=14): 542 (x * (x \ y)) * z != u | y * z = u. [para(61(a,1),300(a,1,1,1))]. given #300 (H,wt=14): 546 x / y != z | (1 / x) \ (1 / y) = z. [para(64(a,1),307(a,1,1))]. given #301 (H,wt=14): 576 K(x,1 / x) * L(x,1 / x,x) = x. [para(513(a,1),14(a,1,2))]. given #302 (H,wt=14): 579 ((x / y) \ x) * z != u | y * z = u. [para(229(a,2),542(a,1,1))]. given #303 (H,wt=14): 580 (x / (y \ x)) * z != u | y * z = u. [para(230(a,2),542(a,1,1))]. given #304 (H,wt=15): 116 T(T(T(x,y),z),u) = T(T(T(x,u),y),z). [para(38(a,1),38(a,1,1)),flip(a)]. given #305 (H,wt=15): 171 x * y != z | y * u != z | T(x,y) = u. [para(113(a,1),17(a,1)),flip(c)]. given #306 (H,wt=13): 583 T(x / y,(z / y) \ z) = y \ x. [hyper(171,a,265,a,b,262,a)]. given #307 (H,wt=15): 177 (x * y) \ (T(x,y) * y) = K(T(x,y),y). [para(113(a,1),26(a,2,1)),flip(a)]. given #308 (H,wt=15): 183 x * L(T(y,x),z,u) = L(y,z,u) * x. [para(40(a,2),113(a,1,2))]. given #309 (H,wt=15): 184 x * R(T(y,x),z,u) = R(y,z,u) * x. [para(42(a,2),113(a,1,2))]. given #310 (H,wt=13): 597 R(x,y,z) * x = x * R(x,y,z). [para(112(a,1),184(a,1,2,1)),flip(a)]. given #311 (H,wt=8): 602 T(x,R(x,y,z)) = x. [hyper(172,a,597,a)]. given #312 (H,wt=15): 186 T(L(x / y,z,u),y) = L(y \ x,z,u). [para(115(a,1),40(a,1,1)),flip(a)]. given #313 (H,wt=15): 187 T(R(x / y,z,u),y) = R(y \ x,z,u). [para(115(a,1),42(a,1,1)),flip(a)]. given #314 (H,wt=14): 605 T(x / (y * x),y) = R(y \ 1,y,x). [para(162(a,1),187(a,1,1))]. given #315 (H,wt=14): 607 R(x \ 1,x,x \ 1) = T(x \ 1,x). [para(360(a,1),187(a,1,1)),flip(a)]. given #316 (H,wt=15): 223 x * (x \ (y * z)) = y * (u * (u \ z)). [para(56(a,1),57(a,1,2,2,2)),flip(a)]. given #317 (H,wt=15): 245 T(x,x \ y) * z = ((x \ y) \ y) * z. [hyper(22,a,114,a)]. given #318 (H,wt=15): 246 x * T(y,y \ z) = x * ((y \ z) \ z). [hyper(21,a,114,a)]. given #319 (H,wt=15): 247 (x \ y) \ y = z * (z \ T(x,x \ y)). [hyper(228,a,14,a,b,114,a(flip))]. given #320 (H,wt=15): 253 T(x \ y,y \ 1) = (y \ 1) \ (x \ 1). [para(119(a,1),32(a,2,2))]. given #321 (H,wt=15): 254 (x \ 1) * ((y \ 1) \ 1) = (y \ x) \ 1. [para(119(a,1),47(a,1,2,1))]. given #322 (H,wt=15): 257 (x \ 1) \ ((y \ x) \ 1) = (y \ 1) \ 1. [para(119(a,1),118(a,1,1)),flip(a)]. given #323 (H,wt=15): 268 T(x / (x / y),(z / (x / y)) \ z) = y. [para(64(a,2),188(a,1,2))]. given #324 (H,wt=15): 306 (x \ (1 / y)) \ 1 = y * ((x \ 1) \ 1). [para(256(a,1),47(a,1,2,1)),flip(a)]. given #325 (H,wt=15): 309 1 / (x * T(y,y \ 1)) = (y \ 1) / x. [para(114(a,2),259(a,1,2,2))]. given #326 (H,wt=15): 310 1 / (x * (y \ (z \ 1))) = (z * y) / x. [para(118(a,1),259(a,1,2,2))]. given #327 (H,wt=15): 312 ((x \ y) \ y) * (T(x,x \ y) \ z) = z. [para(199(a,1),262(a,1,1,1))]. given #328 (H,wt=15): 314 (x / T(y,y \ z)) * ((y \ z) \ z) = x. [para(199(a,1),265(a,1,2,1))]. given #329 (H,wt=15): 318 ((1 / x) \ y) \ 1 = (y \ 1) * (x \ 1). [para(282(a,1),119(a,1,1)),flip(a)]. given #330 (H,wt=15): 323 1 / ((x \ 1) * y) = (1 / (1 / y)) \ x. [hyper(228,a,308,a(flip),b,317,a(flip)),flip(a)]. given #331 (H,wt=15): 324 x / (y \ (z \ 1)) = (1 / x) \ (z * y). [para(118(a,1),317(a,1,2))]. given #332 (H,wt=15): 325 x / (y * (z \ 1)) = (1 / x) \ (z / y). [para(120(a,1),317(a,1,2))]. given #333 (H,wt=15): 330 ((1 / x) * y) \ (1 / z) = (y \ x) / z. [para(326(a,1),320(a,1,1))]. given #334 (H,wt=15): 387 (x * y) \ x != z | L(y \ 1,y,x) = z. [para(354(a,1),284(a,1,2)),flip(b)]. given #335 (H,wt=15): 392 x / (y * x) != z | R(1 / y,y,x) = z. [para(365(a,1),293(a,1,2)),flip(b)]. given #336 (H,wt=15): 393 x \ T(y,y \ z) = x \ ((y \ z) \ z). [hyper(71,a,114,a,b,14,a)]. given #337 (H,wt=15): 399 K(x,y) = (y * x) \ ((y \ (y * x)) * y). [para(13(a,1),94(a,2,1)),flip(a)]. given #338 (H,wt=11): 643 K(x \ (x * y),x) = K(y,x). [hyper(228,a,94,a(flip),b,399,a),flip(a)]. given #339 (H,wt=11): 644 K(x \ (x * y),z) = K(y,z). [para(53(a,1),643(a,1,1)),flip(a)]. given #340 (H,wt=11): 645 K((x / y) \ x,z) = K(y,z). [para(16(a,1),644(a,1,1,2))]. given #341 (H,wt=15): 400 x \ (y * T(y \ x,y)) = K(y \ x,y). [para(113(a,2),94(a,1,2))]. given #342 (H,wt=15): 407 x * T(x \ (y * x),z) = T(y,z) * x. [para(32(a,1),182(a,1,2,1))]. given #343 (H,wt=15): 409 T(x / y,z) * y = y * T(y \ x,z). [para(115(a,1),182(a,1,2,1)),flip(a)]. given #344 (H,wt=15): 410 T((x * y) / x,z) * x = x * T(y,z). [para(165(a,1),182(a,1,2,1)),flip(a)]. given #345 (H,wt=15): 412 (x * T(x \ y,z)) / x = T(y / x,z). [para(185(a,1),166(a,1,1,2))]. given #346 (H,wt=12): 647 T(x / y,y) != z | y \ x = z. [para(412(a,1),298(a,1)),flip(b)]. given #347 (H,wt=14): 648 T(x,x \ y) != z | (x \ y) \ y = z. [para(61(a,1),647(a,1,1))]. given #348 (H,wt=15): 417 (x * T(y,z)) / x = T((x * y) / x,z). [para(201(a,1),166(a,1,1,2))]. given #349 (H,wt=15): 550 T((x \ y) \ 1,y \ x) = (x \ y) \ 1. [para(351(a,1),260(a,1,2))]. given #350 (H,wt=15): 612 ((x \ y) \ y) \ (T(x,x \ y) * z) = z. [hyper(437,a,245,a)]. given #351 (H,wt=15): 618 x / T(y,y \ z) = x / ((y \ z) \ z). [hyper(376,a,246,a),flip(a)]. given #352 (H,wt=15): 619 (x / ((y \ z) \ z)) * T(y,y \ z) = x. [hyper(228,a,16,a(flip),b,246,a)]. given #353 (H,wt=15): 620 (x * T(y,y \ z)) / ((y \ z) \ z) = x. [hyper(72,a,246,a,b,xx)]. given #354 (H,wt=15): 626 (x \ 1) * T(y,y \ 1) = (y \ x) \ 1. [hyper(228,a,246,a,b,254,a(flip)),flip(a)]. given #355 (H,wt=15): 630 1 / (x * T(y,y \ 1)) = y \ (1 / x). [hyper(228,a,304,a(flip),b,309,a)]. given #356 (H,wt=16): 89 (x * (y * z)) * a(x,y,z) = (x * y) * z. [para(24(a,2),14(a,1,2))]. given #357 (H,wt=16): 101 x \ (y * ((y \ x) * z)) = L(z,y \ x,y). [para(14(a,1),28(a,2,1)),flip(a)]. given #358 (H,wt=16): 103 x \ ((x / y) * (y * z)) = L(z,y,x / y). [para(16(a,1),28(a,2,1)),flip(a)]. given #359 (H,wt=16): 104 L(x,y / x,z) = (z * (y / x)) \ (z * y). [para(16(a,1),28(a,2,2,2))]. given #360 (H,wt=16): 107 R(x,x \ y,z) = (y * z) / ((x \ y) * z). [para(14(a,1),30(a,2,1,1))]. given #361 (H,wt=16): 111 ((x * (y / z)) * z) / y = R(x,y / z,z). [para(16(a,1),30(a,2,2)),flip(a)]. given #362 (H,wt=16): 134 ((x * y) * z) / a(x,y,z) = x * (y * z). [para(24(a,2),61(a,1,2))]. given #363 (H,wt=16): 160 x \ ((x * y) * (y \ 1)) = a(x,y,y \ 1). [para(55(a,1),24(a,2,1)),flip(a)]. given #364 (H,wt=15): 670 x \ R(x,y,y \ 1) = a(x,y,y \ 1). [para(194(a,1),160(a,1,2))]. given #365 (H,wt=15): 671 x * a(x,y,y \ 1) = R(x,y,y \ 1). [para(670(a,1),14(a,1,2))]. given #366 (H,wt=16): 163 x \ ((x * (1 / y)) * y) = a(x,1 / y,y). [para(63(a,1),24(a,2,1)),flip(a)]. given #367 (H,wt=15): 672 x \ R(x,1 / y,y) = a(x,1 / y,y). [para(195(a,1),163(a,1,2))]. given #368 (H,wt=16): 179 (x * y) \ (x * (z * y)) = L(T(z,y),y,x). [para(113(a,1),28(a,2,2,2)),flip(a)]. given #369 (H,wt=12): 673 L(T(x,y),y,x) = T(x,x * y). [hyper(285,a,179,a),flip(a)]. given #370 (H,wt=12): 676 T(L(x,y,x),y) = T(x,x * y). [hyper(228,a,40,a(flip),b,673,a(flip)),flip(a)]. given #371 (H,wt=14): 678 x * T(y,y * x) = L(y,x,y) * x. [para(673(a,1),183(a,1,2))]. given #372 (H,wt=14): 681 (x * T(y,y * x)) / x = L(y,x,y). [para(676(a,1),166(a,1,1,2))]. given #373 (H,wt=14): 683 T((x * y) / x,y * x) = L(y,x,y). [hyper(18,a,410,a,b,678,a(flip)),flip(a)]. given #374 (H,wt=16): 244 (x * y) / (x * K(x,y)) = R(y,x,K(x,y)). [para(93(a,1),30(a,2,1)),flip(a)]. given #375 (H,wt=16): 281 R(x / y,y,x \ z) = z / (y * (x \ z)). [para(227(a,1),30(a,2,1))]. given #376 (H,wt=16): 303 R(x,y,y \ z) * z = (x * y) * (y \ z). [para(30(a,2),235(a,1,1))]. given #377 (H,wt=16): 353 x * L(y \ 1,y,z) = x * ((z * y) \ z). [hyper(21,a,161,a)]. given #378 (H,wt=16): 356 T((x * y) \ x,z) = L(T(y \ 1,z),y,x). [para(161(a,1),40(a,2,1)),flip(a)]. given #379 (H,wt=16): 363 T(x / (y * x),z) = R(T(1 / y,z),y,x). [para(162(a,1),42(a,2,1)),flip(a)]. given #380 (H,wt=16): 366 x \ (x * (y * z)) != z * u | T(y,z) = u. [para(13(a,2),172(a,2)),flip(a)]. given #381 (H,wt=16): 367 T(x,y) * z != x * y | T(y,T(x,y)) = z. [para(113(a,1),172(a,2))]. given #382 (H,wt=16): 368 x * (y * (y \ z)) != z * u | T(x,z) = u. [para(86(a,2),172(a,2)),flip(a)]. given #383 (H,wt=16): 369 ((x / y) * y) * z != z * u | T(x,z) = u. [para(87(a,2),172(a,2)),flip(a)]. given #384 (H,wt=16): 371 x * (y * (y \ T(z,x))) != z * u | u = x. [para(14(a,2),173(a,1,2))]. given #385 (H,wt=16): 372 x * T(T(y,x),z) != u * x | T(y,z) = u. [para(38(a,1),174(a,1,2)),flip(b)]. given #386 (H,wt=16): 373 x * (y * (y \ 1)) != z * u | z \ x = u. [para(14(a,2),211(a,1,2))]. given #387 (H,wt=16): 375 x * ((1 / y) * y) != z * u | x / u = z. [para(16(a,2),214(a,1,2))]. given #388 (H,wt=16): 377 x * T(T(y,x),z) != u | T(y,z) * x = u. [para(38(a,1),219(a,1,2))]. given #389 (H,wt=16): 380 (x * (x \ 1)) * y != z * u | y / u = z. [para(14(a,2),234(a,1,1))]. given #390 (H,wt=16): 381 ((1 / x) * x) * y != z * u | y / u = z. [para(16(a,2),234(a,1,1))]. given #391 (H,wt=16): 382 T(x,y) \ (x * y) != z | T(y,T(x,y)) = z. [para(113(a,1),285(a,1,2))]. given #392 (H,wt=16): 384 x \ (1 / y) != z | T(1 / (x * y),x) = z. [para(321(a,1),285(a,1,2))]. given #393 (H,wt=16): 385 L(T(x \ 1,y),x,1 / x) = T(1 / x,y). [para(352(a,1),40(a,2,1))]. given #394 (H,wt=14): 697 L(T(x \ 1,x),x,1 / x) = x \ 1. [hyper(228,a,115,a(flip),b,385,a)]. given #395 (H,wt=16): 389 ((x * y) \ x) * (L(y \ 1,y,x) \ z) = z. [para(359(a,1),262(a,1,1,1))]. given #396 (H,wt=16): 390 L(x \ 1,x,y) * (((y * x) \ y) \ z) = z. [para(359(a,1),263(a,1,2,1,1))]. given #397 (H,wt=16): 401 x * K(y \ x,y) != z | (y \ x) * y = z. [para(94(a,1),213(a,1,2)),flip(b)]. given #398 (H,wt=16): 405 L(x \ T(y,z),x,z) = (z * x) \ (y * z). [para(169(a,1),28(a,2,2))]. given #399 (H,wt=12): 701 K(x,y) = L(x \ T(x,y),x,y). [hyper(228,a,26,a,b,405,a),flip(a)]. given #400 (H,wt=15): 703 L(x \ T(x,y),x,y) != z | K(x,y) = z. [para(405(a,2),286(a,1))]. given #401 (H,wt=16): 406 T(x,y) * z != z * u | T(T(x,z),y) = u. [para(182(a,1),19(a,1))]. given #402 (H,wt=16): 423 (x \ y) * x != y * z | K(x \ y,x) = z. [para(239(a,1),19(a,1))]. given #403 (H,wt=16): 425 x \ ((y \ x) * y) != z | K(y \ x,y) = z. [para(239(a,1),284(a,1,2)),flip(b)]. given #404 (H,wt=16): 427 x * (y / x) != y * z | K(x,y / x) = z. [para(240(a,1),19(a,1))]. given #405 (H,wt=16): 428 x \ (y * (x / y)) != z | K(y,x / y) = z. [para(240(a,1),284(a,1,2)),flip(b)]. given #406 (H,wt=16): 431 x * T(x \ 1,x) != y | K(x \ 1,x) = y. [para(273(a,1),213(a,1,2)),flip(b)]. given #407 (H,wt=16): 433 x \ ((x \ 1) \ 1) != y | K(x,x \ 1) = y. [para(403(a,1),284(a,1,2)),flip(b)]. given #408 (H,wt=16): 435 x \ (y * x) != z * u | z \ T(y,x) = u. [para(169(a,1),76(a,1,2)),flip(b)]. given #409 (H,wt=16): 441 x * L(y,z \ x,z) = z * ((z \ x) * y). [hyper(228,a,88,a(flip),b,100,a(flip)),flip(a)]. given #410 (H,wt=16): 442 x * L(y,z,x / z) = (x / z) * (z * y). [hyper(228,a,87,a(flip),b,100,a(flip)),flip(a)]. given #411 (H,wt=14): 708 L(x \ y,x,y / x) = T(y / x,y). [hyper(171,a,86,a(flip),b,442,a),flip(a)]. given #412 (H,wt=16): 458 L((x \ y) \ z,x \ y,x) = y \ (x * z). [hyper(228,a,292,a(flip),b,102,a)]. given #413 (H,wt=16): 462 L(x \ y,x,z / x) = z \ ((z / x) * y). [para(16(a,1),102(a,2,1))]. given #414 (H,wt=16): 471 R(x / y,y,x \ z) \ z = y * (x \ z). [hyper(71,a,227,a(flip),b,109,a)]. given #415 (H,wt=16): 472 R(x,x \ y,z) \ (y * z) = (x \ y) * z. [hyper(71,a,88,a(flip),b,109,a)]. given #416 (H,wt=16): 475 R(x,y / z,z) * y = (x * (y / z)) * z. [para(16(a,1),109(a,1,2))]. given #417 (H,wt=16): 496 R(x / y,y,y \ z) = (x * (y \ z)) / z. [para(14(a,1),110(a,2,2))]. given #418 (H,wt=16): 497 R(x / (y / z),y / z,z) = (x * z) / y. [para(16(a,1),110(a,2,2))]. given #419 (H,wt=16): 506 (x * y) / L(z,y / z,x) = x * (y / z). [para(16(a,1),136(a,1,1,2))]. given #420 (H,wt=16): 507 (x * (y * z)) / L(T(y,z),z,x) = x * z. [para(113(a,1),136(a,1,1,2))]. given #421 (H,wt=16): 518 L(T(x,y),y,1 / y) = (1 / y) * (x * y). [para(113(a,1),193(a,1,2)),flip(a)]. given #422 (H,wt=13): 722 (1 / x) * ((x \ 1) * x) = x \ 1. [hyper(228,a,697,a(flip),b,518,a(flip))]. given #423 (H,wt=13): 723 (x * (1 / x)) \ 1 = (x \ 1) * x. [hyper(17,a,47,a,b,722,a),flip(a)]. given #424 (H,wt=11): 726 K(1 / x,x) / x = x \ 1. [hyper(72,a,97,a(flip),b,723,a(flip))]. given #425 (H,wt=13): 725 (1 / x) * K(x \ 1,x) = x \ 1. [para(189(a,2),722(a,1,2))]. given #426 (H,wt=16): 532 x * T(y,x) != z * u | (y * x) / u = z. [para(32(a,2),276(a,1,2))]. given #427 (H,wt=16): 535 x * T(y,x) != z * u | z \ (y * x) = u. [para(137(a,1),279(a,1,1))]. given #428 (H,wt=16): 565 T((x * y) / x,x) != z * u | y / u = z. [para(115(a,2),438(a,1))]. given #429 (H,wt=16): 577 (x * T(y,x)) / x != z * u | z \ y = u. [para(113(a,2),537(a,1,1))]. given #430 (H,wt=16): 608 T((x * y) / (z * y),z) = R(z \ x,z,y). [para(110(a,1),187(a,1,1))]. given #431 (H,wt=16): 609 R(x \ (y / z),x,z) = T(y / (x * z),x). [para(226(a,1),187(a,1,1)),flip(a)]. given #432 (H,wt=16): 610 R(x \ y,x,x \ 1) = T(y * (x \ 1),x). [para(495(a,1),187(a,1,1)),flip(a)]. given #433 (H,wt=16): 611 (x / (y * x)) * y = y * R(y \ 1,y,x). [para(605(a,1),113(a,1,2)),flip(a)]. given #434 (H,wt=16): 674 (x * y) \ (x * (z * y)) = T(L(z,y,x),y). [hyper(228,a,40,a(flip),b,179,a)]. given #435 (H,wt=16): 729 R(x,y,z) = T(((y * x) * z) / (y * z),y). [para(13(a,1),608(a,2,1)),flip(a)]. given #436 (H,wt=12): 736 T(R(x,y,x),y * x) = T(x,y). [para(729(a,2),201(a,1,1))]. given #437 (H,wt=12): 738 R(T(x,y * x),y,x) = T(x,y). [hyper(228,a,42,a,b,736,a(flip)),flip(a)]. given #438 (H,wt=14): 742 R(T(x,y),y / x,x) = T(x,y / x). [para(16(a,1),738(a,1,1,2))]. given #439 (H,wt=12): 744 R(x,1 / x,x) = T(x,1 / x). [para(143(a,1),742(a,1,1))]. given #440 (H,wt=13): 745 T(x,1 / x) / x = x * (1 / x). [hyper(72,a,744,a(flip),b,195,a)]. given #441 (H,wt=13): 747 T(x,1 / x) / x = K(x,1 / x). [hyper(228,a,192,a,b,745,a)]. given #442 (H,wt=16): 731 T((x * y) * (x \ 1),x) = R(y,x,x \ 1). [para(13(a,1),610(a,1,1)),flip(a)]. given #443 (H,wt=16): 737 R(x,y,x) * (y * x) = (y * x) * T(x,y). [para(729(a,2),410(a,1,1))]. given #444 (H,wt=13): 750 (x * y) * T(y,x) = (y * x) * y. [hyper(228,a,109,a(flip),b,737,a(flip))]. given #445 (H,wt=15): 751 (x * (y / x)) * x = y * T(x,y / x). [hyper(300,a,750,a),flip(a)]. given #446 (H,wt=17): 117 T(T(R(x,y,z),u),w) = T(R(T(x,w),y,z),u). [para(42(a,2),38(a,1,1)),flip(a)]. given #447 (H,wt=17): 205 x * L(y,z,u) != u * (z * y) | u * z = x. [para(28(a,2),84(a,1,2)),flip(b)]. given #448 (H,wt=17): 218 (x * y) * L(z,y,x) != u | x * (y * z) = u. [para(28(a,2),213(a,1,2)),flip(b)]. given #449 (H,wt=17): 221 R(x,y,z) * (y * z) != u | (x * y) * z = u. [para(30(a,2),215(a,1,1)),flip(b)]. given #450 (H,wt=17): 248 T(L(x,y,z),x \ u) = L((x \ u) \ u,y,z). [para(114(a,1),40(a,1,1)),flip(a)]. given #451 (H,wt=17): 251 T(x * y,y \ (x \ 1)) = ((x * y) \ 1) \ 1. [para(118(a,1),114(a,1,2))]. given #452 (H,wt=17): 296 (x * (y * z)) / L(z,y,x) != u | x * y = u. [para(28(a,2),293(a,1,2)),flip(b)]. given #453 (H,wt=17): 347 R(x,y,y \ 1) != z | (x * y) * (y \ 1) = z. [para(30(a,2),155(a,1)),flip(b)]. given #454 (H,wt=17): 350 L(x,y,1 / y) != z | (1 / y) * (y * x) = z. [para(28(a,2),158(a,1)),flip(b)]. given #455 (H,wt=17): 408 x * T(T(T(y,x),z),u) = T(T(y,z),u) * x. [para(38(a,1),182(a,1,2,1))]. given #456 (H,wt=17): 434 (K(x \ 1,x) * y) \ 1 = y \ K(x,x \ 1). [hyper(71,a,404,a(flip),b,47,a),flip(a)]. given #457 (H,wt=17): 436 (x * y) * L(z,y,x) != x * u | y * z = u. [para(28(a,2),78(a,1,2)),flip(b)]. given #458 (H,wt=17): 445 (x * y) * z != x * (y * u) | L(u,y,x) = z. [para(100(a,1),19(a,1)),flip(a)]. given #459 (H,wt=17): 456 (x * y) \ (x * (y * z)) != u | L(z,y,x) = u. [para(100(a,1),284(a,1,2)),flip(b)]. given #460 (H,wt=17): 457 (1 / x) * (x * y) != z | L(y,x,1 / x) = z. [para(100(a,1),151(a,1))]. given #461 (H,wt=17): 468 L((x \ 1) \ y,x \ 1,x) != z | x * y = z. [para(102(a,2),157(a,1)),flip(b)]. given #462 (H,wt=17): 476 (x * y) * z != u * (y * z) | R(x,y,z) = u. [para(109(a,1),20(a,1))]. given #463 (H,wt=17): 477 R(x,y,z) * (y * z) != u * z | x * y = u. [para(109(a,2),20(a,1))]. given #464 (H,wt=17): 489 ((x * y) * z) / (y * z) != u | R(x,y,z) = u. [para(109(a,1),295(a,1,1)),flip(b)]. given #465 (H,wt=17): 490 (R(x,y,z) * (y * z)) / z != u | x * y = u. [para(109(a,2),295(a,1,1)),flip(b)]. given #466 (H,wt=17): 491 (x * y) * (y \ 1) != z | R(x,y,y \ 1) = z. [para(109(a,1),154(a,1)),flip(b)]. given #467 (H,wt=17): 501 R(x / (1 / y),1 / y,y) != z | x * y = z. [para(110(a,2),156(a,1)),flip(b)]. given #468 (H,wt=17): 519 (1 / x) \ L(y,x,1 / x) != z | x * y = z. [para(193(a,1),284(a,1,2)),flip(b)]. given #469 (H,wt=17): 525 x * (y * z) != u | (x * y) * L(z,y,x) = u. [para(209(a,1),213(a,1,2)),flip(b)]. given #470 (H,wt=17): 539 L((x \ y) \ 1,x \ y,x) != z | y \ x = z. [para(161(a,2),294(a,1))]. given #471 (H,wt=17): 562 x / ((y \ 1) * x) != z | R(y,y \ 1,x) = z. [para(391(a,1),293(a,1,2)),flip(b)]. given #472 (H,wt=17): 563 x * ((x \ 1) * y) != z | L(y,x \ 1,x) = z. [para(396(a,1),213(a,1,2)),flip(b)]. given #473 (H,wt=17): 568 (x * y) \ (x * z) != u | L(y \ z,y,x) = u. [para(439(a,1),283(a,1,1)),flip(b)]. given #474 (H,wt=17): 581 K(x,1 / x) * y != x | L(x,1 / x,x) = y. [para(576(a,1),19(a,1)),flip(a)]. given #475 (H,wt=17): 586 x * L(x \ (y * x),z,u) = L(y,z,u) * x. [para(32(a,1),183(a,1,2,1))]. given #476 (H,wt=17): 588 L(x / y,z,u) * y = y * L(y \ x,z,u). [para(115(a,1),183(a,1,2,1)),flip(a)]. given #477 (H,wt=16): 782 (x * ((y * x) \ y)) / x = L(1 / x,x,y). [hyper(72,a,353,a(flip),b,588,a)]. given #478 (H,wt=17): 589 L(T(x,y),z,u) * x = x * L(T(x,y),z,u). [para(129(a,1),183(a,1,2,1)),flip(a)]. given #479 (H,wt=10): 785 T(x,L(T(x,y),z,u)) = x. [hyper(172,a,589,a)]. given #480 (H,wt=17): 590 L((x * y) / x,z,u) * x = x * L(y,z,u). [para(165(a,1),183(a,1,2,1)),flip(a)]. given #481 (H,wt=17): 598 R(x / y,z,u) * y = y * R(y \ x,z,u). [para(115(a,1),184(a,1,2,1)),flip(a)]. given #482 (H,wt=17): 599 R(T(x,y),z,u) * x = x * R(T(x,y),z,u). [para(129(a,1),184(a,1,2,1)),flip(a)]. given #483 (H,wt=10): 790 T(x,R(T(x,y),z,u)) = x. [hyper(172,a,599,a)]. given #484 (H,wt=17): 600 R((x * y) / x,z,u) * x = x * R(y,z,u). [para(165(a,1),184(a,1,2,1)),flip(a)]. given #485 (H,wt=17): 603 (x * L(x \ y,z,u)) / x = L(y / x,z,u). [para(186(a,1),166(a,1,1,2))]. given #486 (H,wt=16): 801 L(T(x,y) / x,x,y) = (x * K(x,y)) / x. [para(701(a,2),603(a,1,1,2)),flip(a)]. given #487 (H,wt=17): 604 (x * R(x \ y,z,u)) / x = R(y / x,z,u). [para(187(a,1),166(a,1,1,2))]. given #488 (H,wt=17): 639 (x \ y) / y != z | R(1 / x,x,x \ y) = z. [para(14(a,1),392(a,1,2))]. given #489 (H,wt=17): 652 x * ((y * T(z,x)) / y) = ((y * z) / y) * x. [para(417(a,2),113(a,1,2))]. given #490 (H,wt=17): 653 T((x * (y / z)) / x,z) = (x * (z \ y)) / x. [para(115(a,1),417(a,1,1,2)),flip(a)]. given #491 (H,wt=17): 685 L(x,y,x) * y != y * z | T(x,x * y) = z. [para(678(a,1),19(a,1))]. given #492 (H,wt=17): 698 (1 / x) \ T(1 / x,y) = x * T(x \ 1,y). [hyper(71,a,385,a(flip),b,193,a)]. given #493 (H,wt=17): 699 L(T(x \ 1,x),x,1 / x) != y | x \ 1 = y. [para(385(a,2),647(a,1))]. given #494 (H,wt=17): 724 (1 / (1 / x)) * (x * (1 / x)) = (1 / x) \ 1. [para(64(a,1),722(a,1,2,1))]. given #495 (H,wt=13): 810 (1 / (1 / x)) * (x * (1 / x)) = x. [hyper(228,a,64,a(flip),b,724,a)]. given #496 (H,wt=13): 812 (1 / (1 / x)) * K(x,1 / x) = x. [para(192(a,2),810(a,1,2))]. given #497 (H,wt=17): 727 K((x \ 1) \ 1,x \ 1) = x \ ((x \ 1) \ 1). [hyper(71,a,725,a(flip),b,133,a(flip)),flip(a)]. given #498 (H,wt=15): 813 K((x \ 1) \ 1,x \ 1) = K(x,x \ 1). [hyper(228,a,402,a(flip),b,727,a)]. given #499 (H,wt=17): 743 (T(x,y * x) * y) * x = T(x,y) * (y * x). [para(738(a,1),109(a,1,1)),flip(a)]. NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 797 (0.00 of 7.21 sec). given #500 (H,wt=17): 752 (x * (y / x)) \ (y * (y / x)) = T(y / x,x). [hyper(71,a,87,a(flip),b,750,a)]. given #501 (H,wt=15): 816 (x * (y / x)) \ (y * (y / x)) = x \ y. [hyper(228,a,115,a(flip),b,752,a)]. given #502 (H,wt=15): 817 (x * (y / x)) * (x \ y) = y * (y / x). [para(816(a,1),14(a,1,2))]. given #503 (H,wt=17): 753 R(T(T(x,y),z),u,w) = T(T(R(x,u,w),z),y). [hyper(228,a,42,a,b,117,a),flip(a)]. given #504 (H,wt=17): 764 T(x * y,y \ (x \ 1)) = (y \ (x \ 1)) \ 1. [para(118(a,1),251(a,2,1))]. given #505 (H,wt=17): 777 x / (y * z) != u | R((x / z) / y,y,z) = u. [para(68(a,1),489(a,1,1))]. given #506 (H,wt=17): 781 x * K(x \ 1,x) != y | L(x,x \ 1,x) = y. [para(189(a,2),563(a,1,2))]. given #507 (H,wt=17): 786 L((x * y) / x,z,u) = (x * L(y,z,u)) / x. [hyper(85,a,590,a),flip(a)]. given #508 (H,wt=17): 792 R((x * y) / x,z,u) = (x * R(y,z,u)) / x. [hyper(85,a,600,a),flip(a)]. given #509 (H,wt=17): 793 R((x * y) / x,z,u) \ (x * R(y,z,u)) = x. [hyper(77,a,600,a)]. given #510 (H,wt=17): 808 x / (T(1 / x,y) \ 1) = x * T(x \ 1,y). [hyper(228,a,317,a,b,698,a(flip)),flip(a)]. given #511 (H,wt=17): 809 (x * T(x \ 1,y)) \ x = T(1 / x,y) \ 1. [para(698(a,1),282(a,1,1))]. given #512 (H,wt=18): 90 (x * ((x \ y) * z)) \ (y * z) = a(x,x \ y,z). [para(14(a,1),24(a,2,2,1)),flip(a)]. given #513 (H,wt=18): 91 (x * y) \ ((x * (y / z)) * z) = a(x,y / z,z). [para(16(a,1),24(a,2,1,2)),flip(a)]. given #514 (H,wt=18): 92 ((x / y) * (y * z)) \ (x * z) = a(x / y,y,z). [para(16(a,1),24(a,2,2,1)),flip(a)]. given #515 (H,wt=18): 108 R(x,y,(x * y) \ z) = z / (y * ((x * y) \ z)). [para(14(a,1),30(a,2,1))]. given #516 (H,wt=18): 178 (x * y) \ (y * (T(x,y) * z)) = L(z,T(x,y),y). [para(113(a,1),28(a,2,1)),flip(a)]. given #517 (H,wt=18): 180 ((x * y) * z) / (T(x,y) * z) = R(y,T(x,y),z). [para(113(a,1),30(a,2,1,1)),flip(a)]. given #518 (H,wt=18): 181 ((x * y) * T(z,y)) / (z * y) = R(x,y,T(z,y)). [para(113(a,1),30(a,2,2)),flip(a)]. given #519 (H,wt=18): 191 ((1 / (x * y)) * x) * y = a(1 / (x * y),x,y). [para(124(a,1),24(a,2)),flip(a)]. given #520 (H,wt=18): 258 (x * y) * (((z * x) * y) \ 1) = R(z,x,y) \ 1. [para(30(a,2),120(a,1,1)),flip(a)]. given #521 (H,wt=18): 272 (K(x \ 1,x) * y) / (x * y) = R(x \ 1,x,y). [para(189(a,2),30(a,2,1,1)),flip(a)]. given #522 (H,wt=18): 280 R(x,y,(x * y) \ z) \ z = y * ((x * y) \ z). [para(30(a,2),224(a,1,1))]. given #523 (H,wt=18): 316 x / L(y,z,x / (z * y)) = (x / (z * y)) * z. [para(28(a,2),278(a,1,2))]. given #524 (H,wt=18): 357 R((x * y) \ x,z,u) = L(R(y \ 1,z,u),y,x). [para(161(a,1),44(a,1,1))]. given #525 (H,wt=18): 358 L(L(x \ 1,y,z),x,u) = L((u * x) \ u,y,z). [para(161(a,1),45(a,1,1)),flip(a)]. given #526 (H,wt=17): 843 L((x * y) \ x,y,1 / y) = L(1 / y,y,x). [para(352(a,1),358(a,1,1)),flip(a)]. given #527 (H,wt=18): 364 R(R(1 / x,y,z),x,u) = R(u / (x * u),y,z). [para(162(a,1),46(a,1,1)),flip(a)]. given #528 (H,wt=18): 378 x * L(T(y,x),z,u) != w | L(y,z,u) * x = w. [para(40(a,2),219(a,1,2))]. given #529 (H,wt=18): 379 x * R(T(y,x),z,u) != w | R(y,z,u) * x = w. [para(42(a,2),219(a,1,2))]. given #530 (H,wt=18): 383 (x \ 1) \ (y \ 1) != z | T(y \ x,x \ 1) = z. [para(119(a,1),285(a,1,2))]. given #531 (H,wt=18): 413 x * T(x \ y,z) != u | T(y / x,z) * x = u. [para(185(a,1),219(a,1,2))]. given #532 (H,wt=18): 414 (x * T(x \ y,z)) / x != u | T(y / x,z) = u. [para(185(a,1),298(a,1,1,2)),flip(b)]. given #533 (H,wt=18): 419 x * T(y,z) != u * x | T((x * y) / x,z) = u. [para(201(a,1),174(a,1,2)),flip(b)]. given #534 (H,wt=18): 420 (x * T(y,z)) / x != u | T((x * y) / x,z) = u. [para(201(a,1),298(a,1,1,2)),flip(b)]. given #535 (H,wt=18): 450 (x * y) * T(L(z,y,x),u) = x * (y * T(z,u)). [para(40(a,1),100(a,1,2))]. given #536 (H,wt=18): 453 (x * y) * L(z,T(x,y),y) = y * (T(x,y) * z). [para(113(a,1),100(a,1,1))]. given #537 (H,wt=18): 461 L(x \ ((y * x) / y),x,y) = K(y,(y * x) / y). [hyper(228,a,96,a(flip),b,102,a)]. given #538 (H,wt=18): 464 T((x * y) \ (x * z),u) = L(T(y \ z,u),y,x). [para(102(a,1),40(a,2,1)),flip(a)]. given #539 (H,wt=18): 465 L(T(x,y) \ z,T(x,y),y) = (x * y) \ (y * z). [para(113(a,1),102(a,2,1))]. given #540 (H,wt=18): 467 L(x \ (1 / y),x,y) = (y * x) \ K(y,1 / y). [para(192(a,2),102(a,2,2))]. given #541 (H,wt=18): 481 T(R(x,y,z),u) * (y * z) = (T(x,u) * y) * z. [para(42(a,1),109(a,1,1))]. given #542 (H,wt=18): 484 R(x,y,T(z,y)) * (z * y) = (x * y) * T(z,y). [para(113(a,1),109(a,1,2))]. given #543 (H,wt=14): 863 R(T(x,x * y),y,T(x,y)) = T(x,y). [hyper(17,a,184,a,b,484,a(flip)),flip(a)]. given #544 (H,wt=18): 498 T((x * y) / (z * y),u) = R(T(x / z,u),z,y). [para(110(a,1),42(a,2,1)),flip(a)]. given #545 (H,wt=18): 499 T(R(x / y,y,z),y * z) = (y * z) \ (x * z). [para(110(a,2),115(a,1,1))]. given #546 (H,wt=18): 509 R(x,T(y,x),z) \ ((y * x) * z) = T(y,x) * z. [para(113(a,1),141(a,1,2,1))]. given #547 (H,wt=18): 515 x \ T(L(y,x \ 1,x),z) = (x \ 1) * T(y,z). [hyper(71,a,40,a(flip),b,190,a)]. given #548 (H,wt=18): 516 (1 / L(x,y \ 1,y)) * y = 1 / ((y \ 1) * x). [para(190(a,1),321(a,1,1,2))]. given #549 (H,wt=18): 521 T(R(x,y,y \ 1),z) / (y \ 1) = T(x,z) * y. [hyper(72,a,42,a(flip),b,194,a)]. given #550 (H,wt=18): 524 T(R(x,1 / y,y),z) / y = T(x,z) * (1 / y). [hyper(72,a,42,a(flip),b,195,a)]. given #551 (H,wt=18): 526 L(T(x \ (y \ z),u),x,y) = T((y * x) \ z,u). [para(222(a,1),40(a,2,1))]. given #552 (H,wt=18): 529 L(x,(y \ z) / x,y) = (y * ((y \ z) / x)) \ z. [para(64(a,1),222(a,1,1))]. given #553 (H,wt=18): 533 x * (y * (y \ z)) != u * w | (x * z) / w = u. [para(233(a,1),276(a,1,2))]. given #554 (H,wt=18): 536 ((x / y) * y) * z != u * w | u \ (x * z) = w. [para(231(a,1),279(a,1,1))]. given #555 (H,wt=18): 540 (((x * y) / z) * z) / y != u * w | x / w = u. [para(16(a,2),299(a,1,1))]. given #556 (H,wt=18): 543 (x \ y) \ y != z * u | z \ T(x,x \ y) = u. [para(168(a,1),301(a,1,2))]. given #557 (H,wt=18): 547 x / (y \ (z \ 1)) != u | (1 / x) \ (z * y) = u. [para(118(a,1),319(a,1,2))]. given #558 (H,wt=18): 548 x / (y * (z \ 1)) != u | (1 / x) \ (z / y) = u. [para(120(a,1),319(a,1,2))]. given #559 (H,wt=18): 549 1 / ((x \ 1) * y) != z | (1 / (1 / y)) \ x = z. [para(308(a,1),319(a,1))]. given #560 (H,wt=18): 551 T(x \ (x / y),z) = L(T(y \ 1,z),y,x / y). [para(355(a,1),40(a,2,1)),flip(a)]. given #561 (H,wt=18): 553 T((x \ y) / y,z) = R(T(1 / x,z),x,x \ y). [para(361(a,1),42(a,2,1)),flip(a)]. given #562 (H,wt=18): 555 x * (y * (y \ (x \ z))) != u * w | u \ z = w. [para(14(a,2),374(a,1,2))]. given #563 (H,wt=18): 557 ((x / y) * y) * (x \ z) != u * w | u \ z = w. [para(87(a,2),374(a,1))]. given #564 (H,wt=18): 558 x * (y * (y \ z)) != u * w | u \ (x * z) = w. [para(233(a,1),374(a,1,2))]. given #565 (H,wt=18): 559 (((x / y) / z) * z) * y != u * w | x / w = u. [para(16(a,2),376(a,1,1))]. given #566 (H,wt=18): 560 ((x / y) * y) * z != u * w | (x * z) / w = u. [para(231(a,1),376(a,1,1))]. given #567 (H,wt=18): 561 (1 / (x * y)) * x != z * u | (1 / y) / u = z. [para(308(a,1),376(a,1,1))]. given #568 (H,wt=18): 564 (x * (x \ y)) * z != u * w | u \ (y * z) = w. [para(88(a,2),437(a,1))]. given #569 (H,wt=18): 569 L(T(x \ y,z),x,1 / x) = T((1 / x) * y,z). [para(459(a,1),40(a,2,1))]. given #570 (H,wt=18): 571 L(T((x \ 1) \ y,z),x \ 1,x) = T(x * y,z). [para(460(a,1),40(a,2,1))]. given #571 (H,wt=18): 573 R(T(x / (1 / y),z),1 / y,y) = T(x * y,z). [para(494(a,1),42(a,2,1))]. given #572 (H,wt=18): 574 R(T(x / y,z),y,y \ 1) = T(x * (y \ 1),z). [para(495(a,1),42(a,2,1))]. given #573 (H,wt=18): 584 x * (y * T(z,x * y)) = L(z,y,x) * (x * y). [hyper(228,a,100,a(flip),b,183,a(flip)),flip(a)]. given #574 (H,wt=18): 585 L(x,y,z) * u != u * w | L(T(x,u),y,z) = w. [para(183(a,1),19(a,1))]. given #575 (H,wt=18): 594 (x * y) * R(T(z,x * y),x,y) = (z * x) * y. [hyper(228,a,109,a(flip),b,184,a)]. given #576 (H,wt=18): 595 (x * y) \ ((z * x) * y) = R(T(z,x * y),x,y). [hyper(71,a,109,a(flip),b,184,a)]. given #577 (H,wt=18): 596 R(x,y,z) * u != u * w | R(T(x,u),y,z) = w. [para(184(a,1),19(a,1))]. given #578 (H,wt=18): 624 x \ ((y \ z) \ z) != u | x \ T(y,y \ z) = u. [para(247(a,2),284(a,1,2)),flip(b)]. given #579 (H,wt=18): 625 x * ((y \ z) \ z) != u | x * T(y,y \ z) = u. [para(247(a,2),302(a,1,2))]. given #580 (H,wt=18): 629 (x \ 1) * ((y \ 1) \ 1) != z | (y \ x) \ 1 = z. [para(257(a,1),213(a,1,2)),flip(b)]. given #581 (H,wt=18): 646 T(x / y,z) * y != u | y * T(y \ x,z) = u. [para(412(a,1),215(a,1,1)),flip(b)]. given #582 (H,wt=18): 654 T((x * y) / x,z) * x != u | x * T(y,z) = u. [para(417(a,1),215(a,1,1)),flip(b)]. given #583 (H,wt=18): 655 x / T(y,y \ z) != u | x / ((y \ z) \ z) = u. [para(619(a,1),295(a,1,1)),flip(b)]. given #584 (H,wt=18): 660 (x * y) / a(z,z \ x,y) = z * ((z \ x) * y). [hyper(72,a,88,a(flip),b,89,a)]. given #585 (H,wt=18): 661 (x * y) * a(x,z,z \ y) = (x * z) * (z \ y). [para(14(a,1),89(a,1,1,2))]. given #586 (H,wt=18): 665 L(T(x,y),y,z / y) = z \ ((z / y) * (x * y)). [para(113(a,1),103(a,1,2,2)),flip(a)]. given #587 (H,wt=18): 668 R(x,x \ y,y \ z) \ z = (x \ y) * (y \ z). [para(107(a,2),224(a,1,1))]. given #588 (H,wt=18): 669 R(x,x \ (y / z),z) \ y = (x \ (y / z)) * z. [para(107(a,2),277(a,1,1))]. given #589 (H,wt=18): 677 L(R(T(x,y),z,u),y,x) = R(T(x,x * y),z,u). [para(673(a,1),44(a,1,1)),flip(a)]. given #590 (H,wt=18): 680 T(L(L(x,y,x),z,u),y) = L(T(x,x * y),z,u). [para(676(a,1),40(a,1,1)),flip(a)]. given #591 (H,wt=18): 684 L(x,x \ y,x) * (x \ y) = (x \ y) * T(x,y). [para(14(a,1),678(a,1,2,2)),flip(a)]. given #592 (H,wt=18): 687 ((x \ y) * T(x,y)) / (x \ y) = L(x,x \ y,x). [para(14(a,1),681(a,1,1,2,2))]. given #593 (H,wt=18): 688 T(((x \ y) * x) / (x \ y),y) = L(x,x \ y,x). [para(14(a,1),683(a,1,2))]. given #594 (H,wt=18): 689 T(T((x * y) / x,z),y * x) = T(L(y,x,y),z). [para(683(a,1),38(a,1,1)),flip(a)]. given #595 (H,wt=18): 695 x * T(x \ (y * x),z) != u | T(y,z) * x = u. [para(32(a,1),377(a,1,2,1))]. given #596 (H,wt=18): 704 x * ((x \ y) * T(z,y)) = L(z,x \ y,x) * y. [hyper(228,a,183,a(flip),b,441,a(flip))]. given #597 (H,wt=18): 705 x \ (L(y,x \ z,x) * z) = (x \ z) * T(y,z). [hyper(71,a,183,a(flip),b,441,a(flip))]. given #598 (H,wt=18): 709 (x / y) * (y * T(z,x)) = L(z,y,x / y) * x. [hyper(228,a,183,a(flip),b,442,a(flip))]. given #599 (H,wt=18): 710 (x / y) \ (L(z,y,x / y) * x) = y * T(z,x). [hyper(71,a,183,a(flip),b,442,a(flip))]. given #600 (H,wt=18): 716 T(R(x / y,y,y \ z),z) = z \ (x * (y \ z)). [para(496(a,2),115(a,1,1))]. given #601 (H,wt=18): 734 T(L(x,y,z / y),y) = z \ ((z / y) * (x * y)). [para(16(a,1),674(a,1,1)),flip(a)]. given #602 (H,wt=18): 735 (((x * y) * z) / (x * z)) * x = x * R(y,x,z). [para(729(a,2),113(a,1,2)),flip(a)]. given #603 (H,wt=18): 746 R(R(x,y,z),1 / x,x) = R(T(x,1 / x),y,z). [para(744(a,1),46(a,1,1)),flip(a)]. given #604 (H,wt=18): 748 (x * R(y,x,x \ 1)) / x = (x * y) * (x \ 1). [para(731(a,1),166(a,1,1,2))]. given #605 (H,wt=18): 798 (x * ((y * x) \ (y * z))) / x = L(z / x,x,y). [para(102(a,1),603(a,1,1,2))]. given #606 (H,wt=18): 799 L((x \ y) / z,z,x) = (z * ((x * z) \ y)) / z. [para(222(a,1),603(a,1,1,2)),flip(a)]. given #607 (H,wt=18): 800 (x * ((1 / x) * y)) / x = L(y / x,x,1 / x). [para(459(a,1),603(a,1,1,2))]. given #608 (H,wt=18): 814 K((x \ 1) \ 1,x \ 1) != y | K(x,x \ 1) = y. [para(727(a,2),433(a,1))]. given #609 (H,wt=18): 835 (x * y) \ (y * T(x,y / x)) = a(x,y / x,x). [para(751(a,1),91(a,1,2))]. given #610 (H,wt=18): 836 T(((x * y) * x) / (x * y),y) = R(x,y,T(x,y)). [hyper(228,a,417,a(flip),b,181,a(flip)),flip(a)]. given #611 (H,wt=18): 839 (x * y) * (y \ ((z * x) \ 1)) = R(z,x,y) \ 1. [para(118(a,1),258(a,1,2))]. given #612 (H,wt=18): 869 (1 / L(x,y \ 1,y)) * y = (1 / (1 / x)) \ y. [hyper(228,a,323,a(flip),b,516,a)]. given #613 (H,wt=18): 875 (x * (x \ y)) * z != u * w | (y * z) / w = u. [para(61(a,1),560(a,1,1,1))]. given #614 (H,wt=18): 887 T(L(L(x,y,x),z,u),y) = T(L(x,z,u),x * y). [hyper(228,a,40,a(flip),b,680,a)]. given #615 (H,wt=18): 891 T(T((x * y) / x,z),y * x) = L(T(y,z),x,y). [hyper(228,a,40,a,b,689,a)]. given #616 (H,wt=18): 896 R(T(x / y,z),y,y \ z) = z \ (x * (y \ z)). [hyper(228,a,42,a,b,716,a(flip)),flip(a)]. given #617 (H,wt=18): 901 (x * y) * (y \ (x \ (z \ 1))) = R(z,x,y) \ 1. [para(118(a,1),839(a,1,2,2))]. given #618 (H,wt=18): 903 T(L(L(x,y,z),u,x),u) = T(L(x,y,z),x * u). [para(45(a,1),887(a,1,1))]. given #619 (H,wt=18): 905 (x * y) \ (R(z,x,y) \ 1) = y \ (x \ (z \ 1)). [hyper(77,a,901,a)]. given #620 (H,wt=19): 217 (x * (y * z)) * a(x,y,z) != u | (x * y) * z = u. [para(24(a,2),213(a,1,2)),flip(b)]. given #621 (H,wt=19): 411 (x \ y) * T((x \ y) \ y,z) = T(x,z) * (x \ y). [para(114(a,1),182(a,1,2,1))]. given #622 (H,wt=19): 422 ((x / y) * T(y,z)) / (x / y) = T(x / (x / y),z). [para(188(a,1),203(a,1,1,2,1))]. given #623 (H,wt=19): 443 (x * (y * z)) / T(x * y,L(z,y,x)) = L(z,y,x). [hyper(72,a,100,a(flip),b,113,a)]. given #624 (H,wt=19): 444 L(x,y,z) \ (z * (y * x)) = T(z * y,L(x,y,z)). [hyper(71,a,100,a(flip),b,113,a)]. given #625 (H,wt=19): 492 R(x,y,z) * (y * z) != z * u | T(x * y,z) = u. [para(109(a,2),172(a,2)),flip(a)]. given #626 (H,wt=19): 530 x * ((x \ y) * z) != y * u | L(z,x \ y,x) = u. [para(100(a,1),238(a,1)),flip(b)]. given #627 (H,wt=19): 566 (x * y) \ x != z * u | L(y \ 1,y,x) / u = z. [para(354(a,1),438(a,1,2))]. given #628 (H,wt=19): 592 L(L(x,y,z),u,w) * x = x * L(L(x,y,z),u,w). [para(130(a,1),183(a,1,2,1)),flip(a)]. given #629 (H,wt=11): 907 T(x,L(L(x,y,z),u,w)) = x. [hyper(172,a,592,a)]. given #630 (H,wt=19): 627 (x * (y \ 1)) * ((z \ 1) \ 1) = (z \ (y / x)) \ 1. [para(120(a,1),254(a,1,1))]. given #631 (H,wt=19): 628 (x \ 1) * ((y * (z \ 1)) \ 1) = ((z / y) \ x) \ 1. [para(120(a,1),254(a,1,2,1))]. given #632 (H,wt=19): 631 (((1 / x) * y) \ z) \ 1 = (z \ 1) * ((y \ x) \ 1). [para(326(a,1),318(a,1,1,1))]. given #633 (H,wt=19): 632 1 / ((x \ (y \ 1)) * z) = (1 / (1 / z)) \ (y * x). [para(118(a,1),323(a,1,2,1))]. given #634 (H,wt=19): 633 1 / ((x * (y \ 1)) * z) = (1 / (1 / z)) \ (y / x). [para(120(a,1),323(a,1,2,1))]. given #635 (H,wt=19): 634 x / (y \ (z \ (u \ 1))) = (1 / x) \ ((u * z) * y). [para(118(a,1),324(a,1,2,2))]. given #636 (H,wt=19): 637 x / (y * (z * (u \ 1))) = (1 / x) \ ((u / z) / y). [para(120(a,1),325(a,1,2,2))]. given #637 (H,wt=19): 638 ((1 / x) * y) \ ((1 / z) * u) = (y \ x) / (u \ z). [para(326(a,1),330(a,1,2))]. given #638 (H,wt=19): 640 T(x,y) / (x * y) != z | R(1 / y,y,T(x,y)) = z. [para(113(a,1),392(a,1,2))]. given #639 (H,wt=19): 658 T(x,x \ 1) \ ((y \ 1) \ 1) = ((x \ y) \ 1) \ 1. [para(626(a,1),118(a,1,1)),flip(a)]. given #640 (H,wt=19): 659 (x \ (y \ 1)) * T(z,z \ 1) = (z \ (y * x)) \ 1. [para(118(a,1),626(a,1,1))]. given #641 (H,wt=19): 663 (x * (y * z)) \ ((x * y) * z) != u | a(x,y,z) = u. [para(89(a,1),284(a,1,2)),flip(b)]. given #642 (H,wt=19): 707 x \ (y * ((y \ x) * z)) != u | L(z,y \ x,y) = u. [para(441(a,1),284(a,1,2)),flip(b)]. given #643 (H,wt=19): 715 (x * y) / ((z \ x) * y) != u | R(z,z \ x,y) = u. [para(472(a,1),293(a,1,2)),flip(b)]. given #644 (H,wt=19): 721 (x * y) \ (x * (z * y)) != u | L(T(z,y),y,x) = u. [para(507(a,1),283(a,1,1)),flip(b)]. given #645 (H,wt=19): 758 R(x,y,y \ z) * z != u | (x * y) * (y \ z) = u. [para(14(a,1),221(a,1,2))]. given #646 (H,wt=19): 805 ((x * (y / z)) / x) * z = z * ((x * (z \ y)) / x). [para(115(a,1),652(a,1,2,1,2)),flip(a)]. given #647 (H,wt=19): 807 (x * ((y * (x \ z)) / y)) / x = (y * (z / x)) / y. [para(653(a,1),166(a,1,1,2))]. given #648 (H,wt=19): 818 ((x / y) * (x / (x / y))) * y = x * (x / (x / y)). [para(64(a,1),817(a,1,2))]. given #649 (H,wt=19): 819 T(T(R(x / y,z,u),w),y) = R(T(y \ x,w),z,u). [para(115(a,1),753(a,1,1,1)),flip(a)]. given #650 (H,wt=19): 841 R((x * y) \ x,y,y \ 1) = L(T(y \ 1,y),y,x). [para(607(a,1),357(a,2,1))]. given #651 (H,wt=19): 864 (T(x,x * y) * y) * T(x,y) = T(x,y) * (x * y). [para(863(a,1),484(a,1,1)),flip(a)]. given #652 (H,wt=15): 915 T(T(x,x * y) * y,T(x,y)) = x * y. [hyper(171,a,864,a,b,xx)]. given #653 (H,wt=19): 868 (x \ 1) * T((x \ 1) \ y,z) = x \ T(x * y,z). [para(460(a,1),515(a,1,2,1)),flip(a)]. given #654 (H,wt=17): 920 (x \ 1) * T((x \ 1) \ 1,y) = x \ T(x,y). [para(12(a,1),868(a,2,2,1))]. given #655 (H,wt=13): 922 T(x,y) * (x \ 1) = x \ T(x,y). [hyper(228,a,411,a(flip),b,920,a(flip)),flip(a)]. given #656 (H,wt=17): 923 (x \ 1) \ (T(x,y) \ 1) = (x \ T(x,y)) \ 1. [para(922(a,1),118(a,1,1)),flip(a)]. given #657 (H,wt=17): 925 (x \ T(x,y)) * ((x \ 1) \ (T(x,y) \ 1)) = 1. [para(923(a,2),14(a,1,2))]. given #658 (H,wt=19): 870 T(x * (y \ 1),z) / (y \ 1) = T(x / y,z) * y. [para(495(a,1),521(a,1,1,1))]. given #659 (H,wt=19): 871 T(x / (1 / y),z) * (1 / y) = T(x * y,z) / y. [para(494(a,1),524(a,1,1,1)),flip(a)]. given #660 (H,wt=19): 876 (1 / x) * (x * T(x \ y,z)) = T((1 / x) * y,z). [hyper(350,a,569,a)]. given #661 (H,wt=19): 877 (1 / x) \ T((1 / x) * y,z) = x * T(x \ y,z). [hyper(71,a,569,a(flip),b,193,a)]. given #662 (H,wt=19): 886 x \ ((x / y) * ((y \ 1) * y)) = T(x \ (x / y),y). [hyper(228,a,551,a,b,665,a(flip))]. given #663 (H,wt=19): 892 (x \ y) * T((x \ y) \ 1,y) = x \ ((y \ x) * y). [para(351(a,1),705(a,1,2,1)),flip(a)]. given #664 (H,wt=19): 895 (x / y) \ ((x \ (x / y)) * x) = y * T(y \ 1,x). [para(355(a,1),710(a,1,2,1))]. given #665 (H,wt=15): 936 K(x \ (x / y),x) = y * T(y \ 1,x). [hyper(425,a,895,a)]. given #666 (H,wt=15): 937 x \ K(y \ (y / x),y) = T(x \ 1,y). [hyper(71,a,94,a(flip),b,895,a(flip))]. given #667 (H,wt=15): 939 K(x \ (x / (y \ 1)),x) = y \ T(y,x). [hyper(228,a,920,a(flip),b,936,a)]. given #668 (H,wt=15): 940 K(x \ (x / y),x) / y = T(1 / y,x). [hyper(72,a,936,a,b,409,a)]. given #669 (H,wt=17): 941 K(x \ (x / y),x) \ y = T(1 / y,x) \ 1. [para(936(a,2),809(a,1,1))]. given #670 (H,wt=18): 938 x * T(x \ 1,y) != z | K(y \ (y / x),y) = z. [para(895(a,1),425(a,1))]. given #671 (H,wt=19): 908 (x \ 1) * ((y \ 1) \ (z \ 1)) = ((y / z) \ x) \ 1. [para(118(a,1),628(a,1,2))]. given #672 (H,wt=19): 911 (x * ((y * z) / y)) / x = (y * ((x * z) / x)) / y. [para(13(a,1),807(a,1,1,2,1,2))]. given #673 (H,wt=19): 917 x \ T(x * (y * (x \ 1)),z) = T(y,z) * (x \ 1). [hyper(695,a,868,a),flip(a)]. given #674 (H,wt=19): 918 x \ T(x * y,x \ 1) = ((x \ 1) \ y) * (x \ 1). [hyper(219,a,868,a),flip(a)]. given #675 (H,wt=19): 919 (x \ 1) \ (x \ T(x * y,z)) = T((x \ 1) \ y,z). [hyper(77,a,868,a)]. given #676 (H,wt=19): 921 (x \ 1) * T((x \ 1) \ (x \ y),z) = x \ T(y,z). [para(14(a,1),868(a,2,2,1))]. given #677 (H,wt=19): 927 T(x * (y \ 1),z) / (y \ 1) = y * T(y \ x,z). [hyper(228,a,409,a(flip),b,870,a)]. given #678 (H,wt=17): 954 T(x \ 1,y) / (x \ 1) = x * T(x \ 1,y). [para(11(a,1),927(a,1,1,1))]. given #679 (H,wt=19): 928 T(((1 / x) * y) * x,z) / x = (1 / x) * T(y,z). [hyper(654,a,871,a),flip(a)]. given #680 (H,wt=13): 957 (1 / x) * T(x,y) = T(x,y) / x. [para(62(a,1),928(a,1,1,1)),flip(a)]. given #681 (H,wt=13): 959 (T(x,y) / x) / T(x,y) = 1 / x. [hyper(85,a,957,a)]. given #682 (H,wt=13): 960 (1 / x) \ (T(x,y) / x) = T(x,y). [hyper(77,a,957,a)]. given #683 (H,wt=17): 956 (1 / x) * T((1 / x) \ 1,y) = T(x,y) / x. [para(54(a,1),928(a,1,1,1)),flip(a)]. given #684 (H,wt=15): 965 K(x \ (x / (1 / y)),x) = T(y,x) / y. [hyper(938,a,956,a)]. given #685 (H,wt=15): 966 T(x,y) = K(y \ (y / (1 / x)),y) * x. [para(965(a,2),16(a,1,1)),flip(a)]. given #686 (H,wt=17): 958 T(x,y) \ (T(x,y) / x) = T(1 / x,T(x,y)). [hyper(171,a,957,a,b,14,a),flip(a)]. given #687 (H,wt=19): 929 (1 / x) * T((1 / x) \ y,z) = T(y * x,z) / x. [hyper(646,a,871,a)]. given #688 (H,wt=19): 930 (1 / x) \ (T(y * x,z) / x) = T((1 / x) \ y,z). [hyper(71,a,871,a(flip),b,409,a(flip))]. given #689 (H,wt=19): 931 T(x * y,1 / y) / y = ((1 / y) \ x) * (1 / y). [para(115(a,1),871(a,1,1)),flip(a)]. given #690 (H,wt=19): 932 x * T(x \ ((1 / x) \ y),z) = (1 / x) \ T(y,z). [para(14(a,1),877(a,1,2,1)),flip(a)]. given #691 (H,wt=19): 933 (x / y) * ((y \ 1) * y) = x * T(x \ (x / y),y). [para(886(a,1),14(a,1,2)),flip(a)]. given #692 (H,wt=19): 934 K(x,y) = ((y * x) \ y) * T(((y * x) \ y) \ 1,y). [hyper(228,a,399,a,b,892,a),flip(a)]. given #693 (H,wt=19): 935 T(((x * y) \ x) \ 1,x) = ((x * y) \ x) \ K(y,x). [hyper(71,a,399,a,b,892,a),flip(a)]. given #694 (H,wt=19): 943 K(x \ (x / ((y / x) \ 1)),x) = (y / x) \ (x \ y). [para(115(a,1),939(a,2,2))]. given #695 (H,wt=19): 945 K((x * y) \ x,x * y) / y = T(1 / y,x * y). [para(15(a,1),940(a,1,1,1,2))]. given #696 (H,wt=19): 946 ((x / (1 / y)) \ z) \ 1 = (z \ 1) * ((x \ 1) \ y). [para(64(a,1),908(a,1,2,2)),flip(a)]. given #697 (H,wt=19): 947 T(x * (y * (x \ 1)),z) = x * (T(y,z) * (x \ 1)). [para(917(a,1),14(a,1,2)),flip(a)]. given #698 (H,wt=19): 948 x * (((x \ 1) \ y) * (x \ 1)) = T(x * y,x \ 1). [para(918(a,1),14(a,1,2))]. given #699 (H,wt=19): 951 (x \ T(y,z)) / (x \ 1) = T((x \ y) / (x \ 1),z). [hyper(72,a,921,a(flip),b,409,a)]. given #700 (H,wt=19): 952 (x \ T(y,x \ 1)) / (x \ 1) = (x \ 1) \ (x \ y). [hyper(72,a,921,a(flip),b,113,a(flip))]. given #701 (H,wt=19): 955 (x * T(x \ y,z)) * (x \ 1) = T(y * (x \ 1),z). [para(927(a,1),16(a,1,1))]. given #702 (H,wt=19): 961 T(x / y,y) / (x / y) = (1 / (x / y)) * (y \ x). [para(115(a,1),957(a,1,2)),flip(a)]. given #703 (H,wt=17): 978 (1 / (x / y)) * (y \ x) = (y \ x) / (x / y). [para(115(a,1),961(a,1,1)),flip(a)]. given #704 (H,wt=19): 969 (1 / x) \ (T(y,z) / x) = T((1 / x) \ (y / x),z). [para(16(a,1),930(a,1,2,1,1))]. given #705 (H,wt=19): 971 ((1 / x) \ (y / x)) * (1 / x) = T(y,1 / x) / x. [para(16(a,1),931(a,1,1,1)),flip(a)]. given #706 (H,wt=19): 973 (x / y) * K(y \ 1,y) = x * T(x \ (x / y),y). [para(189(a,2),933(a,1,2))]. given #707 (H,wt=20): 175 (x * (y * z)) \ ((x * z) * T(y,z)) = a(x,z,T(y,z)). [para(113(a,1),24(a,2,1,2)),flip(a)]. given #708 (H,wt=20): 176 (x * (T(y,x) * z)) \ ((y * x) * z) = a(x,T(y,x),z). [para(113(a,1),24(a,2,2,1)),flip(a)]. given #709 (H,wt=20): 243 (x * (y * z)) \ (x * (z * y)) = L(K(z,y),y * z,x). [para(93(a,1),28(a,2,2,2)),flip(a)]. given #710 (H,wt=20): 267 L(T(x,x \ y),x \ y,z) = (z * (x \ y)) \ (z * y). [para(168(a,1),28(a,2,2,2))]. given #711 (H,wt=20): 274 K(x,1 / x) \ (x * ((1 / x) * y)) = L(y,1 / x,x). [para(192(a,2),28(a,2,1)),flip(a)]. given #712 (H,wt=20): 370 ((x / y) \ x) * z != u | T(u / y,(x / y) \ x) = z. [para(265(a,1),172(a,2))]. given #713 (H,wt=20): 424 (x * y) \ (x * ((z \ y) * z)) = L(K(z \ y,z),y,x). [para(239(a,1),28(a,2,2,2)),flip(a)]. given #714 (H,wt=20): 449 (x * (y * z)) / (y * L(z,y,x)) = R(x,y,L(z,y,x)). [para(100(a,1),30(a,2,1)),flip(a)]. given #715 (H,wt=20): 451 (x * y) * R(L(z,y,x),u,w) = x * (y * R(z,u,w)). [para(44(a,2),100(a,1,2))]. given #716 (H,wt=20): 452 (x * y) * L(L(z,y,x),u,w) = x * (y * L(z,u,w)). [para(45(a,1),100(a,1,2))]. given #717 (H,wt=20): 455 K(x \ 1,x) * L(y,x,x \ 1) = (x \ 1) * (x * y). [para(189(a,2),100(a,1,1))]. given #718 (H,wt=20): 474 (R(x,y,z) * y) \ ((x * y) * z) = L(z,y,R(x,y,z)). [hyper(71,a,109,a(flip),b,100,a)]. given #719 (H,wt=20): 482 L(R(x,y,z),u,w) * (y * z) = (L(x,u,w) * y) * z. [para(44(a,1),109(a,1,1))]. given #720 (H,wt=20): 483 R(R(x,y,z),u,w) * (y * z) = (R(x,u,w) * y) * z. [para(46(a,1),109(a,1,1))]. given #721 (H,wt=20): 487 R(x,y \ 1,y) * K(y \ 1,y) = (x * (y \ 1)) * y. [para(189(a,2),109(a,1,2))]. given #722 (H,wt=20): 488 R(x,y,1 / y) * K(y,1 / y) = (x * y) * (1 / y). [para(192(a,2),109(a,1,2))]. given #723 (H,wt=20): 500 R(x / T(y,z),T(y,z),y) = (x * y) / (y * T(y,z)). [para(198(a,1),110(a,2,2))]. given #724 (H,wt=20): 508 (x * (y * z)) / L(K(y,z),z * y,x) = x * (z * y). [para(93(a,1),136(a,1,1,2))]. given #725 (H,wt=20): 510 R(x * y,K(y,x),z) \ ((y * x) * z) = K(y,x) * z. [para(93(a,1),141(a,1,2,1))]. given #726 (H,wt=20): 514 x \ L(L(y,x \ 1,x),z,u) = (x \ 1) * L(y,z,u). [hyper(71,a,45,a,b,190,a)]. given #727 (H,wt=20): 517 (1 / x) \ L(L(y,x,1 / x),z,u) = x * L(y,z,u). [hyper(71,a,45,a,b,193,a)]. given #728 (H,wt=19): 995 (1 / x) \ L(1 / x,y,z) = x * L(x \ 1,y,z). [para(352(a,1),517(a,1,2,1))]. given #729 (H,wt=19): 997 (x * L(x \ 1,y,z)) \ x = L(1 / x,y,z) \ 1. [para(995(a,1),282(a,1,1))]. given #730 (H,wt=20): 520 L(R(x,y,y \ 1),z,u) / (y \ 1) = L(x,z,u) * y. [hyper(72,a,44,a(flip),b,194,a)]. given #731 (H,wt=19): 998 L(x \ 1,y,z) / (x \ 1) = L(1 / x,y,z) * x. [para(360(a,1),520(a,1,1,1))]. given #732 (H,wt=19): 1000 L(x \ 1,y,z) / (x \ 1) = x * L(x \ 1,y,z). [hyper(228,a,588,a(flip),b,998,a)]. given #733 (H,wt=18): 1001 L(x \ 1,x,y) / (x \ 1) = x * ((y * x) \ y). [hyper(228,a,353,a(flip),b,1000,a)]. given #734 (H,wt=18): 1002 (x * ((y * x) \ y)) * (x \ 1) = L(x \ 1,x,y). [para(1001(a,1),16(a,1,1))]. given #735 (H,wt=17): 1004 (x * ((y * x) \ y)) * (x \ 1) = (y * x) \ y. [hyper(228,a,161,a(flip),b,1002,a)]. given #736 (H,wt=18): 1003 (x * ((y * x) \ y)) \ L(x \ 1,x,y) = x \ 1. [para(1001(a,1),64(a,1,1))]. given #737 (H,wt=20): 522 R(R(x,1 / y,y),z,u) / y = R(x,z,u) * (1 / y). [hyper(72,a,46,a,b,195,a)]. given #738 (H,wt=20): 523 L(R(x,1 / y,y),z,u) / y = L(x,z,u) * (1 / y). [hyper(72,a,44,a(flip),b,195,a)]. given #739 (H,wt=19): 1010 L(T(x,1 / x),y,z) / x = L(x,y,z) * (1 / x). [para(744(a,1),523(a,1,1,1))]. given #740 (H,wt=19): 1011 T(L(x,y,z),1 / x) / x = L(x,y,z) * (1 / x). [para(40(a,1),1010(a,1,1))]. given #741 (H,wt=15): 1012 (1 / x) \ (L(x,y,z) / x) = L(x,y,z). [hyper(18,a,971,a,b,1011,a(flip)),flip(a)]. given #742 (H,wt=15): 1013 (1 / x) * L(x,y,z) = L(x,y,z) / x. [para(1012(a,1),14(a,1,2))]. given #743 (H,wt=15): 1014 (L(x,y,z) / x) / L(x,y,z) = 1 / x. [para(1012(a,1),61(a,1,2))]. given #744 (H,wt=20): 527 L(R(x \ (y \ z),u,w),x,y) = R((y * x) \ z,u,w). [para(222(a,1),44(a,1,1)),flip(a)]. given #745 (H,wt=20): 528 L(L(x \ (y \ z),u,w),x,y) = L((y * x) \ z,u,w). [para(222(a,1),45(a,1,1)),flip(a)]. given #746 (H,wt=20): 544 x \ ((y \ x) * y) != z * u | z \ K(y \ x,y) = u. [para(239(a,1),301(a,1,2))]. given #747 (H,wt=20): 570 L(R(x \ y,z,u),x,1 / x) = R((1 / x) * y,z,u). [para(459(a,1),44(a,1,1)),flip(a)]. given #748 (H,wt=20): 572 L(R((x \ 1) \ y,z,u),x \ 1,x) = R(x * y,z,u). [para(460(a,1),44(a,1,1)),flip(a)]. given #749 (H,wt=20): 575 R(R(x / y,z,u),y,y \ 1) = R(x * (y \ 1),z,u). [para(495(a,1),46(a,1,1)),flip(a)]. given #750 (H,wt=20): 582 x * T(T(T(y,x),z),u) != w | T(T(y,z),u) * x = w. [para(116(a,1),219(a,1,2))]. given #751 (H,wt=20): 606 x * R(x \ y,z,u) != w | R(y / x,z,u) * x = w. [para(187(a,1),219(a,1,2))]. given #752 (H,wt=20): 636 (1 / ((x * y) * (z \ 1))) \ (z / y) = R(x,y,z \ 1). [hyper(228,a,30,a,b,325,a(flip))]. given #753 (H,wt=16): 1025 (x / (y * z)) \ (x / z) = R(y,z,x \ 1). [para(259(a,1),636(a,1,1))]. given #754 (H,wt=18): 1026 (x / (y * (z \ x))) \ z = R(y,z \ x,x \ 1). [para(61(a,1),1025(a,1,2))]. given #755 (H,wt=18): 1027 R(x / (y \ z),y \ z,z \ 1) = (z / x) \ y. [para(16(a,1),1026(a,1,1,2)),flip(a)]. given #756 (H,wt=20): 650 T(x \ y,T(x,x \ y)) != z | ((x \ y) \ y) \ y = z. [para(114(a,2),648(a,1,2))]. given #757 (H,wt=20): 662 (x * (y * z)) * a(x,z,T(y,z)) = (x * z) * T(y,z). [para(113(a,1),89(a,1,1,2))]. given #758 (H,wt=20): 667 R(x,x \ y,(x \ y) \ z) = (y * ((x \ y) \ z)) / z. [para(14(a,1),107(a,2,2))]. given #759 (H,wt=20): 682 x * L(T(y,y * x),z,u) = L(L(y,x,y),z,u) * x. [para(676(a,1),183(a,1,2,1))]. given #760 (H,wt=20): 686 L(x,T(y,x),x) * T(y,x) = T(y,x) * T(x,y * x). [para(113(a,1),678(a,1,2,2)),flip(a)]. given #761 (H,wt=20): 702 L(T(x \ T(y,z),u),x,z) = T((z * x) \ (y * z),u). [para(405(a,1),40(a,2,1))]. given #762 (H,wt=20): 712 L(T((x \ y) \ z,u),x \ y,x) = T(y \ (x * z),u). [para(458(a,1),40(a,2,1))]. given #763 (H,wt=20): 717 R(T(x / (y / z),u),y / z,z) = T((x * z) / y,u). [para(497(a,1),42(a,2,1))]. given #764 (H,wt=20): 720 R((x / y) \ z,x / y,y) = T((z * y) / x,x / y). [para(497(a,1),187(a,1,1)),flip(a)]. given #765 (H,wt=20): 739 T(R(x,y,x),z) * (y * x) = (y * x) * T(T(x,y),z). [para(736(a,1),182(a,1,2,1)),flip(a)]. given #766 (H,wt=17): 1031 (x * y) * T(T(y,x),z) = (T(y,z) * x) * y. [hyper(228,a,481,a(flip),b,739,a(flip))]. given #767 (H,wt=20): 779 (1 / x) \ T(1 / x,y) != z | x * T(x \ 1,y) = z. [para(385(a,1),519(a,1,2))]. given #768 (H,wt=20): 787 L((x * (y \ 1)) / x,y,z) = (x * ((z * y) \ z)) / x. [hyper(72,a,353,a(flip),b,590,a),flip(a)]. given #769 (H,wt=20): 794 (((x * y) / x) * z) * (z \ x) = x * R(y,z,z \ x). [hyper(228,a,303,a(flip),b,600,a(flip)),flip(a)]. given #770 (H,wt=20): 795 (x * R(y,z,z \ x)) / (z \ x) = ((x * y) / x) * z. [hyper(72,a,600,a(flip),b,303,a(flip))]. given #771 (H,wt=20): 797 L(x / y,z,u) * y != w | y * L(y \ x,z,u) = w. [para(603(a,1),215(a,1,1)),flip(b)]. given #772 (H,wt=20): 804 R(x / y,z,u) * y != w | y * R(y \ x,z,u) = w. [para(604(a,1),215(a,1,1)),flip(b)]. given #773 (H,wt=20): 821 L((x * y) / x,z,u) * x != w | x * L(y,z,u) = w. [para(786(a,2),215(a,1,1)),flip(b)]. given #774 (H,wt=20): 829 R((x * (1 / y)) / x,y,z) = (x * (z / (y * z))) / x. [para(162(a,1),792(a,2,1,2))]. given #775 (H,wt=20): 898 L(((x / y) \ z) / y,y,x / y) = (y * (x \ z)) / y. [para(16(a,1),799(a,2,1,2,1))]. given #776 (H,wt=20): 913 T(T((x * y) / (z * y),u),z) = R(T(z \ x,u),z,y). [para(110(a,1),819(a,1,1,1))]. given #777 (H,wt=20): 914 R(T(x \ y,x * z),x,z) = T((x * z) \ (y * z),x). [para(499(a,1),819(a,1,1)),flip(a)]. given #778 (H,wt=18): 1037 R(T(x \ 1,x * y),x,y) = T((x * y) \ y,x). [para(11(a,1),914(a,2,1,2))]. given #779 (H,wt=20): 924 (x * y) \ (y * (x \ T(x,y))) = L(x \ 1,T(x,y),y). [para(922(a,1),178(a,1,2,2))]. given #780 (H,wt=20): 926 (x \ T(x,y)) \ 1 != z | (x \ 1) \ (T(x,y) \ 1) = z. [para(925(a,1),284(a,1,2)),flip(b)]. given #781 (H,wt=20): 962 T(x,y) / x != T(x,y) * z | T(1 / x,T(x,y)) = z. [para(957(a,1),172(a,2)),flip(a)]. given #782 (H,wt=20): 963 T(x \ 1,y) / (x \ 1) != z | x * T(x \ 1,y) = z. [para(957(a,1),580(a,1))]. given #783 (H,wt=20): 975 T(L(x \ 1,x,y) \ 1,y) = ((y * x) \ y) \ K(x,y). [para(161(a,2),935(a,1,1,1))]. given #784 (H,wt=20): 987 K(x \ 1,x) * L(x \ y,x,x \ 1) = (x \ 1) * y. [hyper(228,a,86,a(flip),b,455,a)]. given #785 (H,wt=20): 1038 T((x * y) \ ((x * z) * y),x) = R(T(z,x * y),x,y). [para(13(a,1),914(a,1,1,1)),flip(a)]. given #786 (H,wt=21): 386 L(L(x \ 1,x,y),y * x,z) = (z * (y * x)) \ (z * y). [para(354(a,1),28(a,2,2,2))]. given #787 (H,wt=21): 418 T((((x * y) / x) \ z) \ z,x) = T(y,((x * y) / x) \ z). [para(114(a,1),201(a,1,1))]. given #788 (H,wt=21): 502 R(R(1 / x,x,y),x * y,z) = (y * z) / ((x * y) * z). [para(162(a,2),110(a,1,1))]. given #789 (H,wt=21): 531 (x * y) * L(z,y,x) != u * w | (x * (y * z)) / w = u. [para(28(a,2),276(a,1,2))]. given #790 (H,wt=21): 534 R(x,y,z) * (y * z) != u * w | u \ ((x * y) * z) = w. [para(30(a,2),279(a,1,1))]. given #791 (H,wt=21): 538 (x * y) * L(z,y,x) != u * w | u \ (x * (y * z)) = w. [para(136(a,1),279(a,1,1))]. given #792 (H,wt=21): 541 ((x * y) * z) / (y * z) != u * w | R(x,y,z) / w = u. [para(109(a,1),299(a,1,1))]. given #793 (H,wt=21): 545 (x * y) \ (x * (y * z)) != u * w | u \ L(z,y,x) = w. [para(100(a,1),301(a,1,2))]. given #794 (H,wt=21): 554 R(R(1 / x,x,x \ y),y,z) = ((x \ y) * z) / (y * z). [para(361(a,2),110(a,1,1))]. given #795 (H,wt=21): 567 R(x,y,z) \ ((x * y) * z) != u * w | (y * z) / w = u. [para(109(a,1),438(a,1,2))]. given #796 (H,wt=21): 578 ((x * y) * z) / (y * z) != u * w | u \ R(x,y,z) = w. [para(109(a,1),537(a,1,1))]. given #797 (H,wt=21): 587 x * L(R(T(y,x),z,u),w,v5) = L(R(y,z,u),w,v5) * x. [para(42(a,2),183(a,1,2,1))]. given #798 (H,wt=20): 1044 x * R(T(y,y * x),z,u) = L(R(y,z,u),x,y) * x. [para(677(a,1),587(a,1,2))]. given #799 (H,wt=21): 591 (x \ y) * L((x \ y) \ y,z,u) = L(x,z,u) * (x \ y). [para(114(a,1),183(a,1,2,1))]. given #800 (H,wt=21): 601 (x \ y) * R((x \ y) \ y,z,u) = R(x,z,u) * (x \ y). [para(114(a,1),184(a,1,2,1))]. given #801 (H,wt=17): 1045 R(T(x,x \ y),z,u) = R((x \ y) \ y,z,u). [hyper(17,a,184,a,b,601,a),flip(a)]. given #802 (H,wt=21): 641 (1 / x) / K(x,1 / x) != y | R(1 / x,x,1 / x) = y. [para(192(a,2),392(a,1,2))]. given #803 (H,wt=21): 692 (x * y) * T((x * y) \ x,z) = x * (y * T(y \ 1,z)). [para(356(a,2),100(a,1,2))]. given #804 (H,wt=21): 693 T(x / (y * x),z) * (y * x) = (T(1 / y,z) * y) * x. [para(363(a,2),109(a,1,1))]. given #805 (H,wt=21): 730 T(x / (y * z),y) * (y * z) = ((y \ (x / z)) * y) * z. [para(609(a,1),109(a,1,1))]. given #806 (H,wt=21): 754 (x * y) * T(L(z,y,x),u) != w | x * (y * T(z,u)) = w. [para(40(a,1),218(a,1,2))]. given #807 (H,wt=21): 759 T(R(x,y,z),u) * (y * z) != w | (T(x,u) * y) * z = w. [para(42(a,1),221(a,1,1))]. given #808 (H,wt=21): 762 R(x,y,T(z,y)) * (z * y) != u | (x * y) * T(z,y) = u. [para(113(a,1),221(a,1,2))]. given #809 (H,wt=21): 765 x / L(y,z,x / (z * y)) != u | (x / (z * y)) * z = u. [para(16(a,1),296(a,1,1))]. given #810 (H,wt=21): 768 (x * y) \ (y * (T(x,y) * z)) != u | L(z,T(x,y),y) = u. [para(113(a,1),456(a,1,1))]. given #811 (H,wt=21): 772 (x * y) * T(z,y) != u * (z * y) | R(x,y,T(z,y)) = u. [para(113(a,1),476(a,2,2))]. given #812 (H,wt=21): 780 ((x \ 1) \ y) / y != z | R(x,x \ 1,(x \ 1) \ y) = z. [para(14(a,1),562(a,1,2))]. given #813 (H,wt=21): 796 ((x / y) * L(y,z,u)) / (x / y) = L(x / (x / y),z,u). [para(64(a,1),603(a,1,1,2,1))]. given #814 (H,wt=21): 803 ((x / y) * R(y,z,u)) / (x / y) = R(x / (x / y),z,u). [para(64(a,1),604(a,1,1,2,1))]. given #815 (H,wt=21): 842 L(L(x \ 1,y * x,z),x,y) = (z * (y * x)) \ (z * y). [hyper(228,a,102,a(flip),b,358,a)]. given #816 (H,wt=21): 848 x * ((x \ y) * T(z,y)) != u | L(z,x \ y,x) * y = u. [para(441(a,1),378(a,1))]. given #817 (H,wt=21): 853 (x * y) * T(T(x,x * y),z) = x * (y * T(T(x,y),z)). [para(673(a,1),450(a,1,2,1))]. given #818 (H,wt=17): 1050 x * (y * T(T(x,y),z)) = T(x,z) * (x * y). [hyper(377,a,853,a),flip(a)]. given #819 (H,wt=15): 1051 T(x,y) * (x * z) = x * (T(x,y) * z). [para(182(a,1),1050(a,1,2)),flip(a)]. given #820 (H,wt=13): 1059 x * (T(x,y) \ 1) = T(x,y) \ x. [hyper(71,a,55,a(flip),b,1051,a),flip(a)]. given #821 (H,wt=13): 1065 (T(x,y) \ x) / (T(x,y) \ 1) = x. [hyper(85,a,1059,a)]. given #822 (H,wt=15): 1052 x \ (T(x,y) * z) = T(x,y) * (x \ z). [hyper(558,a,1051,a)]. given #823 (H,wt=15): 1053 x * (T(x,y) * (x \ z)) = T(x,y) * z. [hyper(302,a,1051,a),flip(a)]. given #824 (H,wt=15): 1054 T(x,y) * (x * (T(x,y) \ z)) = x * z. [hyper(228,a,86,a(flip),b,1051,a)]. given #825 (H,wt=13): 1070 x * (T(x,y) \ y) = T(y,T(x,y)). [hyper(367,a,1054,a),flip(a)]. given #826 (H,wt=15): 1056 (x * (T(x,y) * z)) / (x * z) = T(x,y). [hyper(85,a,1051,a)]. given #827 (H,wt=15): 1057 T(x,y) \ (x * z) = x * (T(x,y) \ z). [hyper(71,a,86,a(flip),b,1051,a)]. given #828 (H,wt=15): 1058 x * (T(x,y) \ (x \ z)) = T(x,y) \ z. [hyper(71,a,57,a(flip),b,1051,a),flip(a)]. given #829 (H,wt=15): 1075 T(x,y) \ (x \ z) = x \ (T(x,y) \ z). [hyper(77,a,1058,a),flip(a)]. given #830 (H,wt=17): 1062 x * (T(x,y) * T(z,x)) = T(x,y) * (z * x). [para(113(a,1),1051(a,1,2)),flip(a)]. given #831 (H,wt=17): 1068 (T(x,y) \ T(x,z)) / (T(x,y) \ 1) = T(x,z). [para(1065(a,1),951(a,2,1))]. given #832 (H,wt=17): 1074 (x / y) * ((y \ x) \ y) = T(y,T(x / y,y)). [para(115(a,1),1070(a,1,2,1))]. given #833 (H,wt=15): 1081 (x / y) * ((y \ x) \ y) = T(y,y \ x). [para(115(a,1),1074(a,2,2))]. given #834 (H,wt=17): 1077 T(T(x,y * x) * y,x) = T(x,y) * T(y,x). [hyper(171,a,743,a,b,1062,a)]. given #835 (H,wt=17): 1080 T(x,y) * (T(x,z) \ 1) = T(x,z) \ T(x,y). [para(1068(a,1),16(a,1,1))]. given #836 (H,wt=17): 1082 ((x * y) / x) * (y \ x) = T(x,x \ (x * y)). [para(13(a,1),1081(a,1,2,1))]. given #837 (H,wt=13): 1084 T(x,y) = ((x * y) / x) * (y \ x). [para(13(a,1),1082(a,2,2)),flip(a)]. given #838 (H,wt=13): 1085 T(x,y) / (y \ x) = (x * y) / x. [hyper(72,a,1084,a,b,xx)]. given #839 (H,wt=13): 1087 ((x * y) / x) \ T(x,y) = y \ x. [hyper(71,a,1084,a,b,xx)]. given #840 (H,wt=15): 1088 T(x,x / y) / y = (x * (x / y)) / x. [hyper(313,a,1084,a(flip))]. given #841 (H,wt=13): 1096 T(T(x,x / y) / y,x) = x / y. [para(1088(a,2),165(a,1,1))]. given #842 (H,wt=15): 1090 ((x * (x / y)) / x) * y = T(x,x / y). [para(64(a,1),1084(a,2,2)),flip(a)]. given #843 (H,wt=15): 1098 x * ((y * (x \ y)) / y) = T(y,y / x). [hyper(228,a,805,a(flip),b,1090,a(flip)),flip(a)]. given #844 (H,wt=17): 1086 T((x * y) / x,y \ x) = (y \ x) \ T(x,y). [hyper(71,a,1084,a,b,113,a),flip(a)]. given #845 (H,wt=15): 1101 T((x \ y) \ T(y,x),y) = T(x,x \ y). [para(1086(a,1),201(a,1,1))]. given #846 (H,wt=15): 1103 T((x \ y) \ T(y,x),y) = (x \ y) \ y. [hyper(228,a,114,a(flip),b,1101,a)]. given #847 (H,wt=17): 1089 (x / (x / y)) * (y \ (x / y)) = T(x / y,y). [para(16(a,1),1084(a,2,1,1)),flip(a)]. given #848 (H,wt=17): 1092 ((x * y) * x) / (x * y) = T(x * y,x) / y. [para(13(a,1),1085(a,1,2)),flip(a)]. given #849 (H,wt=13): 1105 T(T(x * y,x) / y,x * y) = x. [para(1092(a,1),165(a,1,1))]. given #850 (H,wt=16): 1106 T(T(x * y,x) / y,y) = R(x,y,T(x,y)). [para(1092(a,1),836(a,1,1))]. given #851 (H,wt=14): 1108 x \ T(y * x,y) = R(y,x,T(y,x)). [hyper(647,a,1106,a)]. given #852 (H,wt=11): 1111 L(R(x,y,T(x,y)),y,x) = x. [para(1108(a,1),440(a,1,1))]. given #853 (H,wt=14): 1109 x * R(y,x,T(y,x)) = T(y * x,y). [para(1106(a,1),170(a,1,2))]. given #854 (H,wt=17): 1099 (x / y) * ((x * y) / x) = T(x,x / (x / y)). [para(64(a,1),1098(a,1,2,1,2))]. given #855 (H,wt=17): 1110 R(x,y,T(x,y)) != z | y \ T(x * y,x) = z. [para(1106(a,1),647(a,1))]. given #856 (H,wt=17): 1112 T(x,x / (x / T(y,x))) = (x / T(y,x)) * y. [para(166(a,1),1099(a,1,2)),flip(a)]. given #857 (H,wt=18): 1061 T(x,y) * (x * z) != x * u | T(x,y) * z = u. [para(1051(a,2),19(a,1))]. given #858 (H,wt=18): 1069 T(x,y) * z != x * u | T(x,y) * (x \ z) = u. [para(1053(a,1),19(a,1))]. given #859 (H,wt=18): 1073 T(x,y) * z != x * u | x * (T(x,y) \ u) = z. [para(1054(a,1),19(a,1)),flip(a)]. given #860 (H,wt=18): 1076 x * (T(x,y) \ (x \ z)) != u | T(x,y) \ z = u. [para(1075(a,2),213(a,1,2)),flip(b)]. given #861 (H,wt=18): 1097 ((x * (x / y)) / x) * y != z | T(x,x / y) = z. [para(1088(a,1),215(a,1,1)),flip(b)]. given #862 (H,wt=18): 1113 x * (T(x,y) \ z) != u | T(x,y) \ (x * z) = u. [para(13(a,1),1076(a,1,2,2))]. given #863 (H,wt=18): 1114 x * ((y * (x \ y)) / y) != z | T(y,y / x) = z. [para(805(a,1),1097(a,1))]. given #864 (H,wt=19): 1060 (x / y) * (T(x / y,z) * y) = T(x / y,z) * x. [para(16(a,1),1051(a,1,2)),flip(a)]. given #865 (H,wt=19): 1066 (T(x,y) \ x) / T(x,T(x,y) \ 1) = T(x,y) \ 1. [hyper(72,a,1059,a(flip),b,113,a)]. given #866 (H,wt=19): 1072 x * (T(x,y) \ (T(x,y) / x)) = K(x,T(x,y) / x). [hyper(17,a,240,a,b,1054,a)]. given #867 (H,wt=17): 1116 x * T(1 / x,T(x,y)) = K(x,T(x,y) / x). [para(958(a,1),1072(a,1,2))]. given #868 (H,wt=19): 1104 (x * y) / ((x * y) / x) = y / (x \ ((x * y) / x)). [hyper(72,a,165,a(flip),b,1089,a),flip(a)]. given #869 (H,wt=19): 1115 (x / y) * (y * T(y \ x,z)) = T(x / y,z) * x. [para(409(a,1),1060(a,1,2))]. given #870 (H,wt=20): 1067 x * (T(x,y) \ 1) != z * u | (T(x,y) \ x) / u = z. [para(1065(a,1),376(a,1,1))]. given #871 (H,wt=20): 1079 T(x,y) * (z * x) != x * u | T(x,y) * T(z,x) = u. [para(1062(a,1),19(a,1))]. given #872 (H,wt=20): 1093 ((x * y) / x) * (y \ x) != z * u | z \ T(x,y) = u. [para(1085(a,1),279(a,1,1))]. given #873 (H,wt=20): 1094 ((x * y) / x) * (y \ x) != z * u | T(x,y) / u = z. [para(1085(a,1),376(a,1,1))]. given #874 (H,wt=20): 1100 (x * y) * L((x \ y) / y,y,x) = T(y,y / (x * y)). [para(799(a,2),1098(a,1,2))]. given #875 (H,wt=17): 1119 x * (y * ((x \ y) / y)) = T(y,y / (x * y)). [hyper(218,a,1100,a)]. given #876 (H,wt=20): 1102 T((x \ y) \ T(y,x),x * y) = L(T(x,x \ y),y,x). [para(1086(a,1),891(a,1,1))]. given #877 (H,wt=20): 1120 T(x,x / (y * x)) != z | y * (x * ((y \ x) / x)) = z. [para(1100(a,1),218(a,1))]. given #878 (H,wt=21): 873 (x / y) * (y * T(y \ 1,z)) = x * T(x \ (x / y),z). [para(551(a,2),442(a,1,2)),flip(a)]. given #879 (H,wt=21): 874 T((x \ y) / y,z) * y = (T(1 / x,z) * x) * (x \ y). [para(553(a,2),303(a,1,1))]. given #880 (H,wt=21): 880 ((x * y) \ x) * (x * y) = x * (y * T(y \ 1,x * y)). [para(161(a,1),584(a,2,1)),flip(a)]. given #881 (H,wt=21): 888 L(x,x \ y,x) * (x \ y) != (x \ y) * z | T(x,y) = z. [para(684(a,2),19(a,1))]. given #882 (H,wt=21): 890 L(x,x \ y,x) * (x \ y) != z | (x \ y) * T(x,y) = z. [para(687(a,1),215(a,1,1)),flip(b)]. given #883 (H,wt=21): 893 (x \ y) * T((x \ y) \ z,y) = x \ ((y \ (x * z)) * y). [para(458(a,1),705(a,1,2,1)),flip(a)]. given #884 (H,wt=21): 894 (x / y) \ (L(z,y,x / y) * x) != u | y * T(z,x) = u. [para(709(a,1),284(a,1,2)),flip(b)]. given #885 (H,wt=21): 897 x \ ((x / y) * ((y \ z) * y)) = T(x \ ((x / y) * z),y). [para(462(a,1),734(a,1,1)),flip(a)]. given #886 (H,wt=21): 904 (x \ (y * (z \ x))) * x = (T(y / z,x) * z) * (z \ x). [para(896(a,1),303(a,1,1))]. given #887 (H,wt=21): 944 K(x \ (x / (((x * y) / x) \ 1)),x) = ((x * y) / x) \ y. [para(165(a,1),939(a,2,2))]. given #888 (H,wt=21): 968 K(T(1 / x,T(x,y)),T(x,y)) = x * T(x \ 1,T(x,y)). [para(958(a,1),936(a,1,1))]. given #889 (H,wt=21): 979 (x \ y) \ ((x \ y) / (y / x)) = T(1 / (y / x),x \ y). [hyper(171,a,978,a,b,14,a),flip(a)]. given #890 (H,wt=21): 994 (x \ 1) * L((x \ 1) \ y,z,u) = x \ L(x * y,z,u). [para(460(a,1),514(a,1,2,1)),flip(a)]. given #891 (H,wt=19): 1127 (x \ 1) * L((x \ 1) \ 1,y,z) = x \ L(x,y,z). [para(12(a,1),994(a,2,2,1))]. given #892 (H,wt=15): 1129 L(x,y,z) * (x \ 1) = x \ L(x,y,z). [hyper(228,a,591,a(flip),b,1127,a(flip)),flip(a)]. given #893 (H,wt=15): 1130 L(x,y,z) \ (x \ L(x,y,z)) = x \ 1. [hyper(71,a,1127,a(flip),b,591,a(flip))]. given #894 (H,wt=21): 996 (1 / x) \ L((1 / x) * y,z,u) = x * L(x \ y,z,u). [para(459(a,1),517(a,1,2,1))]. given #895 (H,wt=21): 999 L(x * (y \ 1),z,u) / (y \ 1) = L(x / y,z,u) * y. [para(495(a,1),520(a,1,1,1))]. given #896 (H,wt=21): 1021 (1 / x) * (x * R(x \ y,z,u)) = R((1 / x) * y,z,u). [hyper(350,a,570,a)]. given #897 (H,wt=19): 1135 (1 / x) * (x * R(x \ 1,y,z)) = R(1 / x,y,z). [para(12(a,1),1021(a,2,1))]. given #898 (H,wt=18): 1139 (1 / x) * ((y / (x * y)) * x) = R(1 / x,x,y). [para(611(a,2),1135(a,1,2))]. given #899 (H,wt=17): 1140 (1 / x) * ((y / (x * y)) * x) = y / (x * y). [hyper(228,a,162,a(flip),b,1139,a)]. given #900 (H,wt=19): 1136 (1 / x) \ R(1 / x,y,z) = x * R(x \ 1,y,z). [hyper(77,a,1135,a)]. given #901 (H,wt=19): 1144 (x * R(x \ 1,y,z)) \ x = R(1 / x,y,z) \ 1. [para(1136(a,1),282(a,1,1))]. given #902 (H,wt=21): 1023 (x \ 1) * R((x \ 1) \ y,z,u) = x \ R(x * y,z,u). [hyper(71,a,572,a(flip),b,190,a),flip(a)]. given #903 (H,wt=19): 1145 (x \ 1) * R((x \ 1) \ 1,y,z) = x \ R(x,y,z). [para(12(a,1),1023(a,2,2,1))]. given #904 (H,wt=15): 1147 R(x,y,z) * (x \ 1) = x \ R(x,y,z). [hyper(228,a,601,a(flip),b,1145,a(flip)),flip(a)]. given #905 (H,wt=15): 1148 (x \ R(x,y,z)) / (x \ 1) = R(x,y,z). [hyper(72,a,1145,a(flip),b,601,a(flip))]. given #906 (H,wt=15): 1149 R(x,y,z) \ (x \ R(x,y,z)) = x \ 1. [hyper(71,a,1145,a(flip),b,601,a(flip))]. given #907 (H,wt=18): 1153 R(x,y,z) * (x \ 1) != u | x \ R(x,y,z) = u. [para(1148(a,1),215(a,1,1)),flip(b)]. given #908 (H,wt=19): 1151 (x \ 1) \ (R(x,y,z) \ 1) = (x \ R(x,y,z)) \ 1. [para(1147(a,1),118(a,1,1)),flip(a)]. given #909 (H,wt=21): 1024 (R(x / y,z,u) * y) * (y \ 1) = R(x * (y \ 1),z,u). [hyper(347,a,575,a)]. given #910 (H,wt=21): 1034 (x * ((y \ x) / x)) / (y \ x) = ((x * (1 / y)) / x) * y. [para(361(a,1),795(a,1,1,2))]. given #911 (H,wt=21): 1039 K(x,y) = L(x \ 1,x,y) * T(L(x \ 1,x,y) \ 1,y). [para(975(a,2),390(a,1,2)),flip(a)]. given #912 (H,wt=21): 1048 (x * y) * T((x * y) \ y,z) = (T(1 / x,z) * x) * y. [hyper(646,a,693,a)]. given #913 (H,wt=21): 1049 (x * y) * T((x * y) \ z,x) = ((x \ (z / y)) * x) * y. [hyper(646,a,730,a)]. given #914 (H,wt=19): 1159 ((x \ (x / y)) * x) * y = x * (y * T(y \ 1,x)). [hyper(228,a,692,a(flip),b,1049,a(flip))]. given #915 (H,wt=21): 1063 (x / y) * (T(x / y,y) * z) = (y \ x) * ((x / y) * z). [para(115(a,1),1051(a,1,1)),flip(a)]. given #916 (H,wt=19): 1162 (x / y) * ((y \ x) * z) = (y \ x) * ((x / y) * z). [para(115(a,1),1063(a,1,2,1))]. given #917 (H,wt=17): 1164 (x / y) * ((y \ x) \ 1) = (y \ x) \ (x / y). [hyper(373,a,1162,a),flip(a)]. given #918 (H,wt=21): 1122 (T(1 / x,y) * x) * (x \ z) = z * T(z \ (x \ z),y). [hyper(646,a,874,a),flip(a)]. given #919 (H,wt=19): 1166 ((x \ 1) * x) * (x \ y) = y * T(y \ (x \ y),x). [para(115(a,1),1122(a,1,1,1))]. given #920 (H,wt=19): 1168 K(x \ 1,x) * (x \ y) = y * T(y \ (x \ y),x). [para(189(a,2),1166(a,1,1))]. given #921 (H,wt=21): 1123 (x \ (y * (z \ x))) * x = (z * T(z \ y,x)) * (z \ x). [para(409(a,1),904(a,2,1))]. given #922 (H,wt=21): 1126 K(T(1 / (1 / x),x \ 1),x \ 1) = T(x,x \ 1) / x. [para(979(a,1),965(a,1,1))]. given #923 (H,wt=21): 1133 x * L(x \ ((1 / x) \ y),z,u) = (1 / x) \ L(y,z,u). [para(14(a,1),996(a,1,2,1)),flip(a)]. given #924 (H,wt=21): 1134 L(x * (y \ 1),z,u) / (y \ 1) = y * L(y \ x,z,u). [hyper(228,a,588,a(flip),b,999,a)]. given #925 (H,wt=21): 1141 ((x \ y) / y) / (((x \ y) / (x * (x \ y))) * x) = 1 / x. [hyper(72,a,361,a(flip),b,1139,a)]. given #926 (H,wt=17): 1170 ((x \ y) / y) / (((x \ y) / y) * x) = 1 / x. [para(14(a,1),1141(a,1,2,1,2))]. given #927 (H,wt=17): 1171 (1 / x) \ ((x \ y) / y) = ((x \ y) / y) * x. [para(1170(a,1),64(a,1,1))]. given #928 (H,wt=17): 1172 x / (((x \ y) / y) \ 1) = ((x \ y) / y) * x. [hyper(228,a,317,a,b,1171,a(flip)),flip(a)]. given #929 (H,wt=21): 1155 (x * R(x \ y,z,u)) * (x \ 1) = R(y * (x \ 1),z,u). [para(598(a,1),1024(a,1,1))]. given #930 (H,wt=21): 1156 (x * ((y \ x) / x)) / (y \ x) = y * ((x * (y \ 1)) / x). [hyper(228,a,805,a(flip),b,1034,a)]. given #931 (H,wt=21): 1158 (x * y) * T((x * y) \ y,z) = (x * T(x \ 1,z)) * y. [para(409(a,1),1048(a,2,1))]. given #932 (H,wt=11): 1174 T(x,x * T(x \ 1,y)) = x. [hyper(171,a,692,a(flip),b,1158,a(flip))]. given #933 (H,wt=9): 1175 T(x,(x \ 1) * x) = x. [para(113(a,1),1174(a,1,2))]. given #934 (H,wt=12): 1179 R(x,x \ 1,x) = T(x,x \ 1). [para(1175(a,1),738(a,1,1))]. given #935 (H,wt=13): 1177 T(x \ 1,x \ T(x,y)) = x \ 1. [para(920(a,1),1174(a,1,2))]. given #936 (H,wt=13): 1178 T(1 / x,T(x,y) / x) = 1 / x. [para(956(a,1),1174(a,1,2))]. given #937 (H,wt=13): 1180 T(x,x \ 1) \ x = (x \ 1) * x. [para(1179(a,1),391(a,1,1))]. given #938 (H,wt=13): 1184 T(x,x \ 1) \ 1 = T(x \ 1,x). [hyper(171,a,1180,a(flip),b,1059,a),flip(a)]. given #939 (H,wt=13): 1185 ((x \ 1) \ 1) \ x = (x \ 1) * x. [para(114(a,1),1180(a,1,1))]. given #940 (H,wt=13): 1187 1 / T(x \ 1,x) = T(x,x \ 1). [para(1184(a,1),61(a,1,2))]. given #941 (H,wt=13): 1188 T(x \ 1,x) = ((x \ 1) \ 1) \ 1. [para(114(a,1),1184(a,1,1)),flip(a)]. given #942 (H,wt=13): 1189 ((x \ 1) \ 1) \ x = K(x \ 1,x). [hyper(228,a,189,a,b,1185,a)]. given #943 (H,wt=13): 1193 ((x \ 1) \ 1) * K(x \ 1,x) = x. [para(1189(a,1),14(a,1,2))]. given #944 (H,wt=15): 1181 T(x \ T(x,y),x \ 1) = x \ T(x,y). [hyper(35,a,1177,a)]. given #945 (H,wt=15): 1191 T(x \ 1,(x \ 1) \ 1) = T(x \ 1,x). [hyper(228,a,114,a,b,1188,a),flip(a)]. given #946 (H,wt=16): 1190 ((x \ 1) \ 1) \ x != y | K(x \ 1,x) = y. [para(1185(a,2),315(a,1))]. given #947 (H,wt=16): 1194 ((x \ 1) \ 1) * K(x \ 1,x) != y | y = x. [para(1189(a,1),213(a,1,2))]. given #948 (H,wt=17): 1192 T((x \ 1) \ 1,x \ 1) = T(x \ 1,x) \ 1. [para(1188(a,2),1188(a,2,1))]. given #949 (H,wt=18): 1186 T(x,x \ 1) \ x != x * y | T(x \ 1,x) = y. [para(1180(a,2),172(a,2)),flip(a)]. given #950 (H,wt=19): 1182 (x \ T(x,y)) * (x \ 1) = (x \ 1) * (x \ T(x,y)). [para(1177(a,1),113(a,1,2))]. given #951 (H,wt=20): 1195 T((x * y) \ (y * x),y \ 1) = L(y \ T(y,x),y,x). [para(1181(a,1),702(a,1,1)),flip(a)]. given #952 (H,wt=15): 1196 K(x,y) = T((y * x) \ (x * y),x \ 1). [hyper(228,a,701,a,b,1195,a),flip(a)]. given #953 (H,wt=11): 1197 T(K(x,y),x \ 1) = K(x,y). [para(26(a,2),1196(a,2,1)),flip(a)]. given #954 (H,wt=11): 1198 T(x \ 1,K(x,y)) = x \ 1. [hyper(35,a,1197,a)]. given #955 (H,wt=15): 1199 K(x,y) * (x \ 1) = (x \ 1) * K(x,y). [para(1197(a,1),113(a,1,2)),flip(a)]. given #956 (H,wt=13): 1202 K(x \ 1,x) * ((x \ 1) \ 1) = x. [hyper(228,a,1193,a(flip),b,1199,a)]. given #957 (H,wt=16): 1201 T((x * y) \ x,K(y,z)) = L(y \ 1,y,x). [para(1198(a,1),356(a,2,1))]. given #958 (H,wt=15): 1203 T((x * y) \ x,K(y,z)) = (x * y) \ x. [hyper(228,a,161,a(flip),b,1201,a)]. given #959 (H,wt=13): 1204 T(K(x,y),(z * x) \ z) = K(x,y). [hyper(35,a,1203,a)]. given #960 (H,wt=11): 1206 T(K(x,y),1 / x) = K(x,y). [para(124(a,1),1204(a,1,2))]. given #961 (H,wt=11): 1207 T(1 / x,K(x,y)) = 1 / x. [hyper(35,a,1206,a)]. given #962 (H,wt=13): 1205 T(K(x \ 1,y),x) = K(x \ 1,y). [para(123(a,1),1204(a,1,2))]. given #963 (H,wt=18): 1200 (x \ 1) * K(x,y) != z | K(x,y) * (x \ 1) = z. [para(1197(a,1),219(a,1,2))]. given #964 (H,wt=18): 1209 x * K(x \ 1,y) != z | K(x \ 1,y) * x = z. [para(1205(a,1),219(a,1,2))]. given #965 (H,wt=21): 1165 (x \ (x * y)) \ ((x * y) / x) = ((x * y) / x) * (y \ 1). [para(13(a,1),1164(a,1,2,1)),flip(a)]. given #966 (H,wt=17): 1210 ((x * y) / x) * (y \ 1) = y \ ((x * y) / x). [para(13(a,1),1165(a,1,1)),flip(a)]. given #967 (H,wt=21): 1167 (x * T(x \ 1,y)) * (x \ z) = z * T(z \ (x \ z),y). [para(409(a,1),1122(a,1,1))]. given #968 (H,wt=21): 1173 R(x * (y \ 1),z,u) / (y \ 1) = y * R(y \ x,z,u). [hyper(85,a,1155,a)]. given #969 (H,wt=19): 1212 R(x \ 1,y,z) / (x \ 1) = x * R(x \ 1,y,z). [para(11(a,1),1173(a,1,1,1))]. given #970 (H,wt=21): 1183 T((x * (1 / y)) / x,T(y,z) / y) = (x * (1 / y)) / x. [para(1178(a,1),417(a,1,1,2)),flip(a)]. given #971 (H,wt=21): 1213 x * R(x \ (y / (x \ 1)),z,u) = R(y,z,u) / (x \ 1). [para(16(a,1),1173(a,1,1,1)),flip(a)]. given #972 (H,wt=22): 426 K(x \ y,x) * z != (x \ y) * x | T(y,K(x \ y,x)) = z. [para(239(a,1),172(a,2))]. given #973 (H,wt=22): 466 L(K(x,y) \ z,K(x,y),y * x) = (x * y) \ ((y * x) * z). [para(93(a,1),102(a,2,1))]. given #974 (H,wt=22): 486 R(x,y * z,K(z,y)) * (z * y) = (x * (y * z)) * K(z,y). [para(93(a,1),109(a,1,2))]. given #975 (H,wt=22): 552 (x / y) \ (L(y \ 1,y,x / y) * x) = K(x \ (x / y),x). [para(355(a,2),94(a,1,2,1))]. given #976 (H,wt=18): 1217 K(x \ (x / y),x) != z | y * T(y \ 1,x) = z. [para(552(a,1),894(a,1))]. given #977 (H,wt=20): 1218 T(x,y) / x != z | (1 / x) * T((1 / x) \ 1,y) = z. [para(965(a,1),1217(a,1))]. given #978 (H,wt=22): 593 x * L(T(y,x),z,u) != w * v5 | w \ (L(y,z,u) * x) = v5. [para(183(a,2),437(a,1))]. given #979 (H,wt=22): 617 T(x,x \ y) * z != u * w | u \ (((x \ y) \ y) * z) = w. [para(245(a,2),437(a,1))]. given #980 (H,wt=22): 622 (x / T(y,y \ z)) * ((y \ z) \ z) != u * w | x / w = u. [para(246(a,1),376(a,1))]. given #981 (H,wt=22): 623 x * T(y,y \ z) != u * w | u \ (x * ((y \ z) \ z)) = w. [para(246(a,2),437(a,1))]. given #982 (H,wt=22): 656 x * ((y \ z) \ z) != u * w | (x * T(y,y \ z)) / w = u. [para(620(a,1),376(a,1,1))]. given #983 (H,wt=22): 664 ((x * y) * z) * a(R(x,y,z),y,z) = (R(x,y,z) * y) * z. [para(109(a,1),89(a,1,1))]. given #984 (H,wt=22): 679 (x * y) * R(L(T(x,y),y,x),z,u) = R(x,z,u) * (x * y). [para(673(a,2),184(a,1,2,1))]. given #985 (H,wt=19): 1219 x * (y * R(T(x,y),z,u)) = R(x,z,u) * (x * y). [hyper(228,a,451,a(flip),b,679,a(flip)),flip(a)]. given #986 (H,wt=17): 1220 R(x,y,z) * (x * u) = x * (R(x,y,z) * u). [para(184(a,1),1219(a,1,2)),flip(a)]. given #987 (H,wt=15): 1225 x * (R(x,y,z) \ 1) = R(x,y,z) \ x. [hyper(71,a,55,a(flip),b,1220,a),flip(a)]. given #988 (H,wt=17): 1221 x \ (R(x,y,z) * u) = R(x,y,z) * (x \ u). [hyper(558,a,1220,a)]. given #989 (H,wt=17): 1222 (R(x,y,z) * u) / (R(x,y,z) * (x \ u)) = x. [hyper(533,a,1220,a)]. given #990 (H,wt=17): 1223 x * (R(x,y,z) * (x \ u)) = R(x,y,z) * u. [hyper(302,a,1220,a),flip(a)]. given #991 (H,wt=16): 1233 R(x,y,x) * (x \ (y * x)) = T(x * y,x). [hyper(171,a,109,a(flip),b,1223,a),flip(a)]. given #992 (H,wt=14): 1234 R(x,y,x) * T(y,x) = T(x * y,x). [para(32(a,2),1233(a,1,2))]. given #993 (H,wt=14): 1235 R(x,y,x) \ T(x * y,x) = T(y,x). [hyper(77,a,1234,a)]. given #994 (H,wt=17): 1224 R(x,y,z) \ (x * (R(x,y,z) * u)) = x * u. [hyper(77,a,1220,a)]. given #995 (H,wt=18): 1230 R(x,y,z) * (x \ (y * z)) = x \ ((x * y) * z). [para(109(a,1),1221(a,1,2)),flip(a)]. given #996 (H,wt=18): 1236 R(x,y,z) = (x \ ((x * y) * z)) / (x \ (y * z)). [hyper(85,a,1230,a),flip(a)]. given #997 (H,wt=19): 1227 x * (R(x,y,z) * T(u,x)) = R(x,y,z) * (u * x). [para(113(a,1),1220(a,1,2)),flip(a)]. given #998 (H,wt=20): 1231 R(x,y,y \ z) * (x \ z) = x \ ((x * y) * (y \ z)). [para(303(a,1),1221(a,1,2)),flip(a)]. given #999 (H,wt=20): 1232 x \ (R(x,y,z) * u) != w | R(x,y,z) * (x \ u) = w. [para(1222(a,1),283(a,1,1)),flip(b)]. given #1000 (H,wt=22): 691 L(R(x,y,y \ z),u,w) * z = (L(x,u,w) * y) * (y \ z). [para(44(a,1),303(a,1,1))]. given #1001 (H,wt=22): 694 x * ((T(y,x) \ z) \ z) != u * x | T(y,T(y,x) \ z) = u. [para(114(a,1),372(a,1,2))]. given #1002 (H,wt=22): 696 (x \ y) * T((x \ y) \ y,z) != u | T(x,z) * (x \ y) = u. [para(114(a,1),377(a,1,2,1))]. given #1003 (H,wt=16): 1239 x \ T(x,y) != z | T(x,y) * (x \ 1) = z. [para(920(a,1),696(a,1))]. given #1004 (H,wt=22): 700 L(x \ 1,x,y) \ (z * ((y * x) \ y)) = T(z,(y * x) \ y). [hyper(172,a,389,a),flip(a)]. given #1005 (H,wt=22): 706 x * L(L(y,z \ x,z),u,w) = z * ((z \ x) * L(y,u,w)). [para(45(a,1),441(a,1,2))]. given #1006 (H,wt=22): 711 x * L(L(y,z,x / z),u,w) = (x / z) * (z * L(y,u,w)). [para(45(a,1),442(a,1,2))]. given #1007 (H,wt=22): 713 L(R((x \ y) \ z,u,w),x \ y,x) = R(y \ (x * z),u,w). [para(458(a,1),44(a,1,1)),flip(a)]. given #1008 (H,wt=22): 714 R(x,T(y,x),(y * x) \ z) \ z = T(y,x) * ((y * x) \ z). [para(137(a,1),471(a,1,1,1))]. given #1009 (H,wt=22): 718 R(R(x / (y / z),u,w),y / z,z) = R((x * z) / y,u,w). [para(497(a,1),46(a,1,1)),flip(a)]. given #1010 (H,wt=22): 728 (x * (y \ 1)) / L(K(y \ 1,y),1 / y,x) = x * (1 / y). [para(725(a,1),136(a,1,1,2))]. given #1011 (H,wt=22): 732 (x / y) * R((x / y) \ 1,x / y,y) = (y / x) * (x / y). [para(16(a,1),611(a,1,1,2)),flip(a)]. given #1012 (H,wt=22): 740 L(R(x,y,x),z,u) * (y * x) = (y * x) * L(T(x,y),z,u). [para(736(a,1),183(a,1,2,1)),flip(a)]. given #1013 (H,wt=19): 1244 (x * y) * L(T(y,x),z,u) = (L(y,z,u) * x) * y. [hyper(228,a,482,a(flip),b,740,a(flip))]. given #1014 (H,wt=22): 741 R(R(x,y,x),z,u) * (y * x) = (y * x) * R(T(x,y),z,u). [para(736(a,1),184(a,1,2,1)),flip(a)]. given #1015 (H,wt=19): 1245 (x * y) * R(T(y,x),z,u) = (R(y,z,u) * x) * y. [hyper(228,a,483,a(flip),b,741,a(flip))]. given #1016 (H,wt=22): 783 L(1 / (x \ y),x \ y,x) * (x \ y) = (x \ y) * (y \ x). [para(351(a,1),588(a,2,2))]. given #1017 (H,wt=22): 784 ((x \ y) * (y \ x)) / (x \ y) = L(1 / (x \ y),x \ y,x). [para(14(a,1),782(a,1,1,2,1))]. given #1018 (H,wt=22): 788 L(((x * y) * z) / (x * y),y,x) = (x * (y * z)) / (x * y). [hyper(72,a,100,a(flip),b,590,a),flip(a)]. given #1019 (H,wt=22): 791 ((((x * y) * z) / (x * y)) * x) * y = (x * y) * R(z,x,y). [hyper(221,a,600,a)]. given #1020 (H,wt=22): 815 T(x,y) * (y * x) != x * z | T(T(x,y * x) * y,x) = z. [para(743(a,1),172(a,2)),flip(a)]. given #1021 (H,wt=22): 822 (x * y) * ((z * L(u,y,x)) / z) = x * (y * ((z * u) / z)). [para(786(a,1),100(a,1,2))]. given #1022 (H,wt=22): 823 L((x * (y \ z)) / x,y,u) = (x * ((u * y) \ (u * z))) / x. [para(102(a,1),786(a,2,1,2))]. given #1023 (H,wt=22): 824 L((x * (y \ (z \ u))) / x,y,z) = (x * ((z * y) \ u)) / x. [para(222(a,1),786(a,2,1,2))]. given #1024 (H,wt=22): 825 L((x * (y \ 1)) / x,y,z / y) = (x * (z \ (z / y))) / x. [para(355(a,1),786(a,2,1,2))]. given #1025 (H,wt=22): 826 L((x * (y \ z)) / x,y,1 / y) = (x * ((1 / y) * z)) / x. [para(459(a,1),786(a,2,1,2))]. given #1026 (H,wt=22): 827 L((x * ((y \ 1) \ z)) / x,y \ 1,y) = (x * (y * z)) / x. [para(460(a,1),786(a,2,1,2))]. given #1027 (H,wt=22): 830 R((x * ((y / z) / u)) / x,u,z) = (x * (y / (u * z))) / x. [para(226(a,1),792(a,2,1,2))]. given #1028 (H,wt=22): 832 R((x * (y / (1 / z))) / x,1 / z,z) = (x * (y * z)) / x. [para(494(a,1),792(a,2,1,2))]. given #1029 (H,wt=22): 833 R((x * (y / z)) / x,z,z \ 1) = (x * (y * (z \ 1))) / x. [para(495(a,1),792(a,2,1,2))]. given #1030 (H,wt=22): 837 T(R(x,y,T(x,y)),z) * (x * y) = (x * y) * T(T(x,y),z). [para(181(a,1),410(a,1,1,1))]. given #1031 (H,wt=22): 854 x * (T(y,x) * T(z,y * x)) = L(z,T(y,x),x) * (y * x). [hyper(378,a,453,a),flip(a)]. given #1032 (H,wt=22): 857 L(T(T(x,y) \ z,u),T(x,y),y) = T((x * y) \ (y * z),u). [para(113(a,1),464(a,1,1,1)),flip(a)]. given #1033 (H,wt=22): 861 T(R(x,y,T(z,y)),u) * (z * y) = (T(x,u) * y) * T(z,y). [para(113(a,1),481(a,1,2))]. given #1034 (H,wt=19): 1257 (T(x,y) * z) * T(x,z) = (x * z) * T(T(x,z),y). [hyper(228,a,837,a(flip),b,861,a(flip))]. given #1035 (H,wt=21): 1258 T(T(x,x \ 1),y) / T(x,x \ 1) = T(x,y) * (x \ 1). [hyper(72,a,54,a(flip),b,1257,a)]. given #1036 (H,wt=19): 1260 T(T(x,x \ 1),y) / T(x,x \ 1) = x \ T(x,y). [hyper(228,a,922,a(flip),b,1258,a)]. given #1037 (H,wt=22): 866 R(T(T(x / y,z),y * u),y,u) = T((y * u) \ (x * u),z). [para(499(a,1),753(a,2,1))]. given #1038 (H,wt=22): 879 R(T(x,y),x \ z,(x \ z) \ 1) = T(z * ((x \ z) \ 1),y). [para(61(a,1),574(a,1,1,1))]. given #1039 (H,wt=22): 882 T(x,y) * (x \ z) != u | (x \ z) * T((x \ z) \ z,y) = u. [para(61(a,1),646(a,1,1,1))]. given #1040 (H,wt=22): 884 (x * y) / a(z,z \ y,T(x,y)) = z * ((z \ y) * T(x,y)). [para(113(a,1),660(a,1,1))]. given #1041 (H,wt=21): 1262 (x * y) / a(z,z \ y,T(x,y)) = L(x,z \ y,z) * y. [hyper(228,a,704,a(flip),b,884,a)]. given #1042 (H,wt=21): 1263 (L(x,y \ z,y) * z) \ (x * z) = a(y,y \ z,T(x,z)). [para(1262(a,1),64(a,1,1))]. given #1043 (H,wt=22): 889 ((x \ T(x,y)) * x) / (x \ T(x,y)) = L(x,x \ T(x,y),x). [para(196(a,1),687(a,1,1,2))]. given #1044 (H,wt=22): 899 L((x \ (y * (x * z))) / z,z,x) = (z * T(y,x * z)) / z. [para(32(a,2),799(a,2,1,2))]. given #1045 (H,wt=22): 900 L((x \ (T(x,y) * y)) / y,y,x) = (y * K(T(x,y),y)) / y. [para(177(a,1),799(a,2,1,2))]. given #1046 (H,wt=22): 912 ((x * (y / z)) / x) * z != u | z * ((x * (z \ y)) / x) = u. [para(807(a,1),215(a,1,1)),flip(b)]. given #1047 (H,wt=22): 942 x * T(x \ 1,y) != z * u | K(y \ (y / x),y) / u = z. [para(937(a,1),276(a,1,2))]. given #1048 (H,wt=22): 950 (x \ 1) * T((x \ 1) \ y,z) != u | x \ T(x * y,z) = u. [para(919(a,1),213(a,1,2)),flip(b)]. given #1049 (H,wt=22): 970 (1 / x) * T((1 / x) \ y,z) != u | T(y * x,z) / x = u. [para(930(a,1),213(a,1,2)),flip(b)]. given #1050 (H,wt=22): 974 ((x * y) \ x) * T(((x * y) \ x) \ 1,x) != z | K(y,x) = z. [para(935(a,2),213(a,1,2)),flip(b)]. given #1051 (H,wt=18): 1267 (x * y) \ ((x \ (x * y)) * x) != z | K(y,x) = z. [para(892(a,1),974(a,1))]. given #1052 (H,wt=22): 977 T(x * y,x \ 1) != x * z | ((x \ 1) \ y) * (x \ 1) = z. [para(948(a,1),19(a,1))]. given #1053 (H,wt=22): 981 T(x,1 / y) / y != z * (1 / y) | (1 / y) \ (x / y) = z. [para(971(a,1),20(a,1))]. given #1054 (H,wt=22): 982 K(x,1 / x) \ (x * (T(x,y) / x)) = L(T(x,y),1 / x,x). [para(957(a,1),274(a,1,2,2))]. given #1055 (H,wt=22): 1064 (x * y) * z != x * (T(x,u) * y) | T(T(x,u),x * y) = z. [para(1051(a,1),172(a,2))]. given #1056 (H,wt=22): 1071 x * (T(x,y) \ ((x \ T(x,y)) * z)) = L(z,x \ T(x,y),x). [hyper(17,a,441,a,b,1054,a)]. given #1057 (H,wt=22): 1078 T(x,y) * T(T(x,y) \ x,x) = L(x,T(x,y) \ x,T(x,y)). [hyper(17,a,441,a,b,1062,a)]. given #1058 (H,wt=22): 1117 T(x / y,z) * x != (x / y) * u | y * T(y \ x,z) = u. [para(1115(a,1),19(a,1))]. given #1059 (H,wt=22): 1118 T(x / y,z) * u != (x / y) * (y * T(y \ x,z)) | u = x. [para(1115(a,2),19(a,2))]. given #1060 (H,wt=22): 1138 (1 / x) \ R(1 / x,y,z) != u | x * R(x \ 1,y,z) = u. [para(1135(a,1),284(a,1,2)),flip(b)]. given #1061 (H,wt=22): 1142 T(1 / x,(y / (x * y)) * x) = L(x \ 1,x,y / (x * y)). [hyper(171,a,1140,a,b,354,a)]. given #1062 (H,wt=22): 1208 T((1 * x) / y,K(y / x,z)) = R(1 / (y / x),y / x,x). [para(1207(a,1),717(a,1,1)),flip(a)]. given #1063 (H,wt=15): 1268 T((1 * x) / y,K(y / x,z)) = x / y. [hyper(228,a,362,a(flip),b,1208,a)]. given #1064 (H,wt=13): 1269 T(x / y,K(y / x,z)) = x / y. [para(11(a,1),1268(a,1,1,1))]. given #1065 (H,wt=15): 1270 T(x \ y,K(x / y,z)) = T(y / x,x). [para(1269(a,1),185(a,1,1)),flip(a)]. given #1066 (H,wt=13): 1271 T(x \ y,K(x / y,z)) = x \ y. [hyper(228,a,115,a(flip),b,1270,a)]. given #1067 (H,wt=22): 1259 (x * y) * T(T(x,y),z) != u * T(x,y) | T(x,z) * y = u. [para(1257(a,1),20(a,1))]. given #1068 (H,wt=22): 1265 L((x \ (y * (x * z))) / z,z,x) = T((z * y) / z,x * z). [hyper(228,a,417,a(flip),b,899,a)]. given #1069 (H,wt=22): 1266 L((T(x,y) * (x \ y)) / y,y,x) = (y * K(T(x,y),y)) / y. [para(1052(a,1),900(a,1,1,1))]. given #1070 (H,wt=23): 447 (x * (y * z)) \ (x * (y * (z * u))) = L(L(u,z,y),y * z,x). [para(100(a,1),28(a,2,2,2)),flip(a)]. given #1071 (H,wt=23): 454 (x * (y * z)) * K(L(z,y,x),x * y) = L(z,y,x) * (x * y). [para(100(a,1),93(a,1,1))]. given #1072 (H,wt=23): 470 L(x \ L(y,z,u),x,u * z) = ((u * z) * x) \ (u * (z * y)). [para(100(a,1),102(a,2,2))]. given #1073 (H,wt=23): 478 ((x * y) * z) \ ((y * z) * R(x,y,z)) = K(y * z,R(x,y,z)). [para(109(a,1),26(a,2,1)),flip(a)]. given #1074 (H,wt=23): 479 (((x * y) * z) * u) / ((y * z) * u) = R(R(x,y,z),y * z,u). [para(109(a,1),30(a,2,1,1)),flip(a)]. given #1075 (H,wt=23): 485 ((x * y) * z) * K(y * z,R(x,y,z)) = (y * z) * R(x,y,z). [para(109(a,1),93(a,1,1))]. given #1076 (H,wt=23): 503 R(R(x,y,z) / u,u,y * z) = ((x * y) * z) / (u * (y * z)). [para(109(a,1),110(a,2,1))]. given #1077 (H,wt=23): 505 R(R(x / y,y,z),y * z,u) = ((x * z) * u) / ((y * z) * u). [para(110(a,2),110(a,1,1))]. given #1078 (H,wt=23): 556 (x * (y * z)) * a(x,y,z) != u * w | u \ ((x * y) * z) = w. [para(24(a,2),374(a,1,2))]. given #1079 (H,wt=23): 614 (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) = K(z,(x \ y) \ y). [para(245(a,2),26(a,2,1)),flip(a)]. given #1080 (H,wt=23): 621 (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) = K(z,T(x,x \ y)). [hyper(71,a,246,a(flip),b,93,a)]. given #1081 (H,wt=23): 642 ((x \ y) \ y) / T(z,z \ T(x,x \ y)) = z \ ((x \ y) \ y). [para(393(a,2),199(a,1,2,2))]. given #1082 (H,wt=23): 649 R(T(x,R(x,y,z) \ u),y,z) != w | (R(x,y,z) \ u) \ u = w. [para(42(a,2),648(a,1))]. given #1083 (H,wt=23): 675 L(T(x,y \ z),y \ z,y) != u | z \ (y * (x * (y \ z))) = u. [para(179(a,1),294(a,1))]. given #1084 (H,wt=23): 755 (x * y) * R(L(z,y,x),u,w) != v5 | x * (y * R(z,u,w)) = v5. [para(44(a,2),218(a,1,2))]. given #1085 (H,wt=23): 756 (x * y) * L(L(z,y,x),u,w) != v5 | x * (y * L(z,u,w)) = v5. [para(45(a,1),218(a,1,2))]. given #1086 (H,wt=23): 760 L(R(x,y,z),u,w) * (y * z) != v5 | (L(x,u,w) * y) * z = v5. [para(44(a,1),221(a,1,1))]. given #1087 (H,wt=23): 761 R(R(x,y,z),u,w) * (y * z) != v5 | (R(x,u,w) * y) * z = v5. [para(46(a,1),221(a,1,1))]. given #1088 (H,wt=23): 774 (x * (y \ 1)) * y != z * K(y \ 1,y) | R(x,y \ 1,y) = z. [para(189(a,2),476(a,2,2))]. given #1089 (H,wt=23): 806 (x \ y) * ((z * ((x \ y) \ y)) / z) = ((z * x) / z) * (x \ y). [para(114(a,1),652(a,1,2,1,2))]. given #1090 (H,wt=21): 1274 (x \ 1) * ((y * ((x \ 1) \ 1)) / y) = x \ ((y * x) / y). [hyper(228,a,1210,a(flip),b,806,a)]. given #1091 (H,wt=23): 840 (x * y) * R((x * y) \ x,z,u) = x * (y * R(y \ 1,z,u)). [para(357(a,2),100(a,1,2))]. given #1092 (H,wt=23): 844 (x * y) * L((x * y) \ x,z,u) = x * (y * L(y \ 1,z,u)). [para(358(a,1),100(a,1,2))]. given #1093 (H,wt=23): 846 L(x \ y,y \ x,1 / (y \ x)) = L(1 / (y \ x),y \ x,y). [para(14(a,1),843(a,1,1,1))]. given #1094 (H,wt=23): 847 R(x / (y * x),z,u) * (y * x) = (R(1 / y,z,u) * y) * x. [para(364(a,1),109(a,1,1))]. given #1095 (H,wt=23): 851 (x * y) * T((x * y) \ (x * z),u) = x * (y * T(y \ z,u)). [para(102(a,1),450(a,1,2,1))]. given #1096 (H,wt=21): 1279 ((x \ ((x * y) / z)) * x) * z = x * (z * T(z \ y,x)). [hyper(228,a,1049,a(flip),b,851,a(flip)),flip(a)]. given #1097 (H,wt=19): 1281 x * (x * T(x \ T(y,x),x)) = ((x \ y) * x) * x. [para(166(a,1),1279(a,1,1,1,2)),flip(a)]. given #1098 (H,wt=17): 1282 x * T(x \ T(y,x),x) = T((x \ y) * x,x). [hyper(172,a,1281,a),flip(a)]. given #1099 (H,wt=15): 1283 T((x \ y) * x,x) = (x \ T(y,x)) * x. [hyper(219,a,1282,a),flip(a)]. given #1100 (H,wt=15): 1284 T((x \ y) * x,x) / x = x \ T(y,x). [hyper(72,a,1282,a(flip),b,113,a(flip))]. given #1101 (H,wt=15): 1287 x * (T((x \ y) * x,x) / x) = T(y,x). [para(1283(a,2),60(a,1,2,1))]. given #1102 (H,wt=15): 1288 T(x * y,y) / y = y \ T(y * x,y). [para(13(a,1),1284(a,1,1,1,1))]. given #1103 (H,wt=15): 1291 x \ T(x * (y / x),x) = T(y,x) / x. [para(65(a,1),1284(a,1,1,1)),flip(a)]. given #1104 (H,wt=15): 1292 x * (T(y * x,x) / x) = T(x * y,x). [para(13(a,1),1287(a,1,2,1,1,1))]. given #1105 (H,wt=15): 1293 T(x * (y / x),x) = x * (T(y,x) / x). [para(65(a,1),1287(a,1,2,1,1)),flip(a)]. given #1106 (H,wt=18): 1285 T((x \ y) * x,x) != z * x | x \ T(y,x) = z. [para(1282(a,1),174(a,1)),flip(b)]. given #1107 (H,wt=18): 1289 x * (T((x \ y) * x,x) / x) != z | T(y,x) = z. [para(1284(a,2),213(a,1,2)),flip(b)]. given #1108 (H,wt=18): 1290 (x \ T(y,x)) * x != z | T((x \ y) * x,x) = z. [para(1284(a,1),215(a,1,1)),flip(b)]. given #1109 (H,wt=19): 1286 T(x,y) \ T((y \ x) * y,y) = K(y \ T(x,y),y). [para(1282(a,1),400(a,1,2))]. given #1110 (H,wt=19): 1296 T(x * ((1 / x) * y),x) = x * ((1 / x) * T(y,x)). [para(928(a,1),1292(a,1,2)),flip(a)]. given #1111 (H,wt=21): 1280 x * (y * T(y \ (x \ z),x)) = ((x \ (z / y)) * x) * y. [para(14(a,1),1279(a,1,1,1,2,1)),flip(a)]. given #1112 (H,wt=21): 1298 T(x * y,x) \ T(y * x,x) = K(x \ T(x * y,x),x). [para(13(a,1),1286(a,1,2,1,1))]. given #1113 (H,wt=21): 1301 ((x \ (y / y)) * x) * y = x * (K(x \ 1,x) * (x \ y)). [para(1168(a,2),1280(a,1,2)),flip(a)]. given #1114 (H,wt=19): 1302 x * (K(x \ 1,x) * (x \ y)) = ((x \ 1) * x) * y. [para(58(a,1),1301(a,1,1,1,2)),flip(a)]. given #1115 (H,wt=19): 1304 x * (K(x \ 1,x) * (x \ y)) = K(x \ 1,x) * y. [para(189(a,2),1302(a,2,1))]. given #1116 (H,wt=19): 1305 K(x \ 1,x) * (x * y) = x * (K(x \ 1,x) * y). [para(13(a,1),1304(a,1,2,2)),flip(a)]. given #1117 (H,wt=21): 1306 x * (K(x \ 1,x) * T(y,x)) = K(x \ 1,x) * (y * x). [para(32(a,2),1304(a,1,2,2))]. given #1118 (H,wt=22): 1308 K(x \ 1,x) * y != x * (K(x \ 1,x) * z) | x * z = y. [para(1305(a,1),19(a,1)),flip(a)]. given #1119 (H,wt=22): 1309 x * (K(x \ 1,x) * (x \ y)) != z | K(x \ 1,x) * y = z. [para(1305(a,1),302(a,1))]. given #1120 (H,wt=23): 852 (x * y) * T((x * y) \ z,u) = x * (y * T(y \ (x \ z),u)). [para(222(a,1),450(a,1,2,1))]. given #1121 (H,wt=21): 1311 x * (y * T(y \ (x \ y),z)) = (x * T(x \ 1,z)) * y. [hyper(228,a,1158,a(flip),b,852,a(flip))]. given #1122 (H,wt=19): 1313 (x * T(x \ 1,y)) * y = x * ((y \ (x \ y)) * y). [para(113(a,1),1311(a,1,2)),flip(a)]. given #1123 (H,wt=19): 1315 (x * ((y \ (x \ y)) * y)) / y = x * T(x \ 1,y). [hyper(85,a,1313,a)]. given #1124 (H,wt=21): 1314 x * T(y * T(y \ 1,x),x) = y * ((x \ (y \ x)) * x). [hyper(220,a,1313,a)]. given #1125 (H,wt=23): 862 T((x * y) / (z * y),u) * (z * y) = (T(x / z,u) * z) * y. [para(110(a,1),481(a,1,1,1))]. given #1126 (H,wt=19): 1317 (T((x * y) / x,z) * x) * y = (x * y) * T(y,z). [hyper(654,a,862,a),flip(a)]. given #1127 (H,wt=15): 1318 (x * T(y,z)) * y = (x * y) * T(y,z). [para(410(a,1),1317(a,1,1))]. given #1128 (H,wt=13): 1320 (1 / T(x,y)) * x = x / T(x,y). [hyper(381,a,1318,a),flip(a)]. given #1129 (H,wt=13): 1328 (1 / T(x,y)) \ (x / T(x,y)) = x. [hyper(77,a,1320,a)]. given #1130 (H,wt=15): 1319 (x * y) / T(y,z) = (x / T(y,z)) * y. [hyper(560,a,1318,a)]. given #1131 (H,wt=15): 1321 (x * T(y,x * y)) * y = y * (x * y). [hyper(228,a,113,a(flip),b,1318,a)]. given #1132 (H,wt=15): 1322 ((x / y) * T(y,z)) * y = x * T(y,z). [hyper(228,a,87,a(flip),b,1318,a)]. given #1133 (H,wt=13): 1334 (x / y) * T(y,x) = (y * x) / y. [hyper(72,a,113,a(flip),b,1322,a),flip(a)]. given #1134 (H,wt=13): 1338 T(x,y) = (y / x) \ ((x * y) / x). [hyper(77,a,1334,a),flip(a)]. given #1135 (H,wt=15): 1323 (x * T(y,z)) \ ((x * y) * T(y,z)) = y. [hyper(77,a,1318,a)]. given #1136 (H,wt=15): 1324 (x * T(y,z)) / y = (x / y) * T(y,z). [hyper(72,a,87,a(flip),b,1318,a)]. given #1137 (H,wt=15): 1325 ((x / T(y,z)) / y) * T(y,z) = x / y. [hyper(72,a,68,a(flip),b,1318,a),flip(a)]. given #1138 (H,wt=15): 1343 x \ ((y * (x * y)) / y) = T(y,x * y). [para(15(a,1),1338(a,2,1)),flip(a)]. given #1139 (H,wt=16): 1329 (1 / T(x,y)) * x != z | x / T(x,y) = z. [para(1328(a,1),213(a,1,2)),flip(b)]. given #1140 (H,wt=16): 1345 R(T(x,y * T(x,z)),y,T(x,z)) = T(x,y). [para(1323(a,1),1038(a,1,1)),flip(a)]. given #1141 (H,wt=17): 1330 (1 / T(x,y)) \ (T(x,z) / T(x,y)) = T(x,z). [para(1328(a,1),969(a,2,1))]. given #1142 (H,wt=17): 1336 ((x \ y) * y) / (x \ y) = x * T(x \ y,y). [hyper(580,a,1334,a),flip(a)]. given #1143 (H,wt=17): 1337 T(x,y) \ ((x * y) / x) = T(y / x,T(x,y)). [hyper(171,a,1334,a,b,14,a),flip(a)]. given #1144 (H,wt=17): 1339 ((x * y) / x) / T(y / x,T(x,y)) = T(x,y). [hyper(72,a,1334,a(flip),b,113,a)]. given #1145 (H,wt=17): 1347 (1 / T(x,y)) * T(x,z) = T(x,z) / T(x,y). [para(1330(a,1),14(a,1,2))]. given #1146 (H,wt=17): 1348 (T(x,y) / T(x,z)) / T(x,y) = 1 / T(x,z). [para(1330(a,1),61(a,1,2))]. given #1147 (H,wt=18): 1326 (x * T(y,z)) * y != u * T(y,z) | x * y = u. [para(1318(a,2),20(a,1))]. given #1148 (H,wt=18): 1333 x * (y * x) != z * x | y * T(x,y * x) = z. [para(1321(a,1),20(a,1))]. given #1149 (H,wt=18): 1335 x * T(y,z) != u * y | (x / y) * T(y,z) = u. [para(1322(a,1),20(a,1))]. given #1150 (H,wt=18): 1351 x * T(y,z) != u * y | (u / T(y,z)) * y = x. [para(16(a,1),1326(a,1,1)),flip(a)]. given #1151 (H,wt=19): 1331 T(x,1 / T(x,y)) / T(x,y) = x * (1 / T(x,y)). [para(1328(a,1),971(a,1,1)),flip(a)]. given #1152 (H,wt=19): 1346 R(T(x,L(x,y,x) * y),y,T(x,x * y)) = T(x,y). [para(678(a,1),1345(a,1,1,2))]. given #1153 (H,wt=20): 1332 (x * y) / T(y,z) != y * u | T(x / T(y,z),y) = u. [para(1319(a,2),172(a,2)),flip(a)]. given #1154 (H,wt=20): 1340 (x * y) / x != T(x,y) * z | T(y / x,T(x,y)) = z. [para(1334(a,1),172(a,2)),flip(a)]. given #1155 (H,wt=20): 1344 (x / y) * T(y,x) != z * u | ((y * x) / y) / u = z. [para(1338(a,2),276(a,1,2))]. given #1156 (H,wt=21): 1327 (x * (y / z)) * T(y / z,z) = (x * (z \ y)) * (y / z). [para(115(a,1),1318(a,1,1,2)),flip(a)]. given #1157 (H,wt=19): 1352 (x * (y / z)) * (z \ y) = (x * (z \ y)) * (y / z). [para(115(a,1),1327(a,1,2))]. given #1158 (H,wt=19): 1354 (x * (y \ z)) / (z / y) = (x / (z / y)) * (y \ z). [hyper(560,a,1352,a)]. given #1159 (H,wt=19): 1355 ((x / (y \ z)) / (z / y)) * (y \ z) = x / (z / y). [hyper(559,a,1352,a),flip(a)]. given #1160 (H,wt=21): 1349 T(x,y) \ (T(x,y) / T(x,z)) = T(1 / T(x,z),T(x,y)). [hyper(171,a,1347,a,b,14,a),flip(a)]. given #1161 (H,wt=23): 902 (1 / (1 / T((x \ 1) \ y,z))) \ x = (1 / T(x * y,z)) * x. [para(571(a,1),869(a,1,1,2)),flip(a)]. given #1162 (H,wt=23): 906 (x * y) * T(L(x,z,u),x * y) = x * (y * T(L(x,z,u),y)). [para(903(a,1),450(a,1,2))]. given #1163 (H,wt=19): 1357 x * (y * T(L(x,z,u),y)) = L(x,z,u) * (x * y). [hyper(219,a,906,a),flip(a)]. given #1164 (H,wt=17): 1358 L(x,y,z) * (x * u) = x * (L(x,y,z) * u). [para(113(a,1),1357(a,1,2)),flip(a)]. given #1165 (H,wt=15): 1364 x * (L(x,y,z) \ 1) = L(x,y,z) \ x. [hyper(71,a,55,a(flip),b,1358,a),flip(a)]. given #1166 (H,wt=15): 1370 x \ (L(x,y,z) \ x) = L(x,y,z) \ 1. [hyper(77,a,1364,a)]. given #1167 (H,wt=17): 1359 x \ (L(x,y,z) * u) = L(x,y,z) * (x \ u). [hyper(558,a,1358,a)]. given #1168 (H,wt=17): 1360 L(x,y,z) * (x \ (L(x,y,z) \ u)) = x \ u. [hyper(555,a,1358,a),flip(a)]. given #1169 (H,wt=17): 1361 x * (L(x,y,z) * (x \ u)) = L(x,y,z) * u. [hyper(302,a,1358,a),flip(a)]. given #1170 (H,wt=17): 1362 L(x,y,z) \ (x * (L(x,y,z) * u)) = x * u. [hyper(77,a,1358,a)]. given #1171 (H,wt=17): 1363 L(x,y,z) \ (x * u) = x * (L(x,y,z) \ u). [hyper(71,a,86,a(flip),b,1358,a)]. given #1172 (H,wt=17): 1373 L(x,y,z) \ (x \ u) = x \ (L(x,y,z) \ u). [hyper(77,a,1360,a)]. given #1173 (H,wt=19): 1372 x \ (L(x,y,z) * (u * x)) = L(x,y,z) * T(u,x). [para(32(a,2),1359(a,2,2))]. given #1174 (H,wt=19): 1374 x \ (L(x,y,z) \ (u * x)) = L(x,y,z) \ T(u,x). [hyper(71,a,32,a,b,1360,a),flip(a)]. given #1175 (H,wt=20): 1367 L(x,y,z) * (x * u) != x * w | L(x,y,z) * u = w. [para(1358(a,2),19(a,1))]. given #1176 (H,wt=20): 1375 L(x,y,z) * u != x * w | L(x,y,z) * (x \ u) = w. [para(1361(a,1),19(a,1))]. given #1177 (H,wt=22): 1371 L(L(x,y,z) \ 1,x,1 / x) = (1 / x) * (L(x,y,z) \ x). [para(1364(a,1),193(a,1,2)),flip(a)]. given #1178 (H,wt=23): 909 (x * (T(y,x) * z)) \ ((y * x) * z) != u | a(x,T(y,x),z) = u. [para(113(a,1),663(a,1,2,1))]. given #1179 (H,wt=23): 953 T(x * ((y \ 1) \ 1),z) / ((y \ 1) \ 1) = y \ T(y * x,z). [hyper(228,a,868,a(flip),b,927,a)]. given #1180 (H,wt=23): 972 ((1 / x) \ y) \ ((1 / x) \ T(y,x)) = K(x \ ((1 / x) \ y),x). [para(932(a,1),400(a,1,2))]. given #1181 (H,wt=23): 993 x \ L(L(y,x \ 1,x),z,u) != (x \ 1) * w | L(y,z,u) = w. [para(514(a,2),19(a,1))]. given #1182 (H,wt=23): 1008 R(R(x,1 / y,y),z,u) / y != w * (1 / y) | R(x,z,u) = w. [para(522(a,2),20(a,1))]. given #1183 (H,wt=23): 1028 T(x,y) * z != L(y,T(x,y),y) * T(x,y) | T(y,x * y) = z. [para(686(a,2),19(a,1)),flip(a)]. given #1184 (H,wt=23): 1029 x * ((x \ y) * T((x \ y) \ z,u)) = y * T(y \ (x * z),u). [para(712(a,1),441(a,1,2)),flip(a)]. given #1185 (H,wt=21): 1378 x * ((x \ y) * T((x \ y) \ 1,z)) = y * T(y \ x,z). [para(12(a,1),1029(a,2,2,1,2))]. given #1186 (H,wt=19): 1381 x * T(x \ y,z) = y * K(z \ (z / (y \ x)),z). [para(936(a,2),1378(a,1,2)),flip(a)]. given #1187 (H,wt=19): 1383 K(x \ (x / (y \ z)),x) = y \ (z * T(z \ y,x)). [hyper(437,a,1381,a),flip(a)]. given #1188 (H,wt=21): 1379 (x \ y) * T((x \ y) \ 1,z) = x \ (y * T(y \ x,z)). [hyper(77,a,1378,a),flip(a)]. given #1189 (H,wt=21): 1380 x * T(x \ y,y \ x) = y * K((y \ x) \ 1,y \ x). [para(269(a,1),1378(a,1,2)),flip(a)]. given #1190 (H,wt=21): 1382 T(x * y,z) / y = x * K(z \ (z / (x \ (1 / y))),z). [hyper(970,a,1381,a)]. given #1191 (H,wt=21): 1385 (x * y) * K(z \ (z / ((x * y) \ x)),z) = x * T(y,z). [para(13(a,1),1381(a,1,2,1)),flip(a)]. given #1192 (H,wt=21): 1388 K(x \ (x / (y \ (y / z))),x) = y \ ((y / z) * T(z,x)). [para(64(a,1),1383(a,2,2,2,1))]. given #1193 (H,wt=19): 1391 K(x \ (x / (x \ (x / y))),x) = x \ ((y * x) / y). [para(1334(a,1),1388(a,2,2))]. given #1194 (H,wt=23): 1030 (T(x / (y / z),u) * (y / z)) * z = T((x * z) / y,u) * y. [para(717(a,1),475(a,1,1)),flip(a)]. given #1195 (H,wt=23): 1040 K(x \ 1,x) * y != (x \ 1) * z | L(x \ z,x,x \ 1) = y. [para(987(a,1),19(a,1)),flip(a)]. given #1196 (H,wt=23): 1055 T(T(x,y),x * (T(x,y) \ z)) = (x * (T(x,y) \ z)) \ (x * z). [hyper(171,a,1051,a,b,223,a)]. given #1197 (H,wt=23): 1083 T(x / y,z) \ T(x / y,y) = (y \ x) * (T(x / y,z) \ 1). [para(115(a,1),1080(a,1,1)),flip(a)]. given #1198 (H,wt=21): 1393 (x \ y) * (T(y / x,z) \ 1) = T(y / x,z) \ (x \ y). [para(115(a,1),1083(a,1,2)),flip(a)]. given #1199 (H,wt=23): 1160 x * ((y \ x) * T((y \ x) \ 1,x)) = ((x \ y) * x) * (y \ x). [para(61(a,1),1159(a,1,1,1,2)),flip(a)]. given #1200 (H,wt=19): 1395 ((x \ y) * x) * (y \ x) = x * (y \ ((x \ y) * x)). [para(892(a,1),1160(a,1,2)),flip(a)]. given #1201 (H,wt=17): 1396 ((x \ y) * x) * (y \ x) = x * K(x \ y,x). [para(94(a,1),1395(a,2,2))]. given #1202 (H,wt=19): 1397 (x * y) * ((y * x) \ y) = y * K(y \ (y * x),y). [para(13(a,1),1396(a,1,1,1))]. given #1203 (H,wt=15): 1398 (x * y) * ((y * x) \ y) = y * K(x,y). [para(13(a,1),1397(a,2,2,1))]. given #1204 (H,wt=16): 1400 (x * y) * L(x \ 1,x,y) = y * K(x,y). [hyper(228,a,353,a,b,1398,a(flip)),flip(a)]. given #1205 (H,wt=17): 1399 x \ (y * K(x / y,y)) = (y * (x / y)) \ y. [hyper(237,a,1398,a)]. given #1206 (H,wt=23): 1163 (x \ (x * y)) * (((x * y) / x) * z) = ((x * y) / x) * (y * z). [para(165(a,1),1063(a,1,2,1)),flip(a)]. given #1207 (H,wt=19): 1402 ((x * y) / x) * (y * z) = y * (((x * y) / x) * z). [para(13(a,1),1163(a,1,1)),flip(a)]. given #1208 (H,wt=17): 1405 x * (((y * x) / y) \ 1) = ((y * x) / y) \ x. [hyper(71,a,55,a(flip),b,1402,a),flip(a)]. given #1209 (H,wt=19): 1403 x \ (((y * x) / y) * z) = ((y * x) / y) * (x \ z). [hyper(558,a,1402,a)]. given #1210 (H,wt=19): 1404 ((x * y) / x) \ (y * z) = y * (((x * y) / x) \ z). [hyper(71,a,86,a(flip),b,1402,a)]. given #1211 (H,wt=23): 1238 L((x \ y) / y,z,u) * y = (L(1 / x,z,u) * x) * (x \ y). [para(361(a,1),691(a,1,1,1))]. given #1212 (H,wt=23): 1253 (1 / x) \ ((y * ((1 / x) * z)) / y) = x * ((y * (x \ z)) / y). [hyper(71,a,826,a(flip),b,193,a)]. given #1213 (H,wt=21): 1409 (1 / x) \ ((y * (1 / x)) / y) = x * ((y * (x \ 1)) / y). [para(12(a,1),1253(a,1,2,1,2))]. given #1214 (H,wt=23): 1254 (x \ 1) * ((y * ((x \ 1) \ z)) / y) = x \ ((y * (x * z)) / y). [hyper(71,a,827,a(flip),b,190,a),flip(a)]. given #1215 (H,wt=17): 1410 x \ ((y * (x * y)) / y) = T(y,y / (x \ 1)). [hyper(1114,a,1254,a),flip(a)]. given #1216 (H,wt=13): 1411 T(x,x / (y \ 1)) = T(x,y * x). [hyper(228,a,1343,a(flip),b,1410,a(flip))]. given #1217 (H,wt=23): 1255 ((x * (y / (1 / z))) / x) * (1 / z) = ((x * (y * z)) / x) / z. [hyper(72,a,832,a(flip),b,195,a),flip(a)]. given #1218 (H,wt=17): 1412 ((x * (x * y)) / x) / y = T(x,x / (1 / y)). [hyper(1097,a,1255,a),flip(a)]. given #1219 (H,wt=19): 1414 T(x,x / (1 / (x \ y))) = ((x * y) / x) / (x \ y). [para(14(a,1),1412(a,1,1,1,2)),flip(a)]. given #1220 (H,wt=23): 1261 (x * y) * T((x * y) \ (z * y),u) = (T(z / x,u) * x) * y. [para(866(a,1),594(a,1,2))]. given #1221 (H,wt=23): 1278 (x * y) * R((x * y) \ y,z,u) = (R(1 / x,z,u) * x) * y. [hyper(804,a,847,a)]. given #1222 (H,wt=23): 1294 x \ T(x * T((x * y) / x,z),x) = T(x * T(y,z),x) / x. [para(410(a,1),1288(a,1,1,1)),flip(a)]. given #1223 (H,wt=23): 1312 (x * y) * T(y \ (x \ 1),z) = x * (y * T(y \ (x \ 1),z)). [para(118(a,1),852(a,1,2,1))]. given #1224 (H,wt=12): 1418 R(x,y,T(y \ (x \ 1),z)) = x. [hyper(476,a,1312,a)]. given #1225 (H,wt=10): 1419 R(x,y,y \ (x \ 1)) = x. [para(112(a,1),1418(a,1,3))]. given #1226 (H,wt=23): 1353 (x * (y \ (y * z))) * ((y * z) / y) = (x * ((y * z) / y)) * z. [para(165(a,1),1327(a,1,2)),flip(a)]. given #1227 (H,wt=19): 1421 (x * ((y * z) / y)) * z = (x * z) * ((y * z) / y). [para(13(a,1),1353(a,1,1,2)),flip(a)]. given #1228 (H,wt=17): 1423 (1 / x) * ((y * x) / y) = ((y * x) / y) / x. [hyper(72,a,62,a(flip),b,1421,a),flip(a)]. given #1229 (H,wt=19): 1422 (x * y) / ((z * y) / z) = (x / ((z * y) / z)) * y. [hyper(560,a,1421,a)]. given #1230 (H,wt=21): 1424 ((x * (y \ 1)) / x) / (y \ 1) = y * ((x * (y \ 1)) / x). [hyper(72,a,54,a(flip),b,1421,a)]. given #1231 (H,wt=21): 1425 ((x / y) * y) * ((x * y) / x) = T(x,x / (x / y)) * y. [para(1099(a,1),1421(a,1,1)),flip(a)]. given #1232 (H,wt=17): 1426 T(x,x / (x / y)) * y = x * ((x * y) / x). [hyper(300,a,1425,a),flip(a)]. given #1233 (H,wt=17): 1427 T(x,x / (x / y)) * (x \ y) = (x * y) / x. [hyper(1069,a,1426,a)]. given #1234 (H,wt=17): 1430 T(x,x / (x / T(y,x))) * T(y,x) = x * y. [para(166(a,1),1426(a,2,2))]. given #1235 (H,wt=17): 1431 ((x * y) / x) / (x \ y) = T(x,x / (x / y)). [hyper(85,a,1427,a)]. given #1236 (H,wt=17): 1433 T(x,x / (1 / (x \ y))) = T(x,x / (x / y)). [hyper(228,a,1414,a,b,1431,a(flip)),flip(a)]. given #1237 (H,wt=17): 1434 T(x,x / (x / (x * y))) = T(x,x / (1 / y)). [para(13(a,1),1433(a,1,2,2,2)),flip(a)]. given #1238 (H,wt=19): 1432 T(x,x / (x / T(y,x))) * (y * x) = x * (x * y). [para(1430(a,1),1062(a,1,2)),flip(a)]. given #1239 (H,wt=19): 1435 T(x,x / (x / T(y,x))) = (x * (x * y)) / (y * x). [hyper(85,a,1432,a),flip(a)]. given #1240 (H,wt=17): 1436 (x * (x * y)) / (y * x) = (x / T(y,x)) * y. [hyper(228,a,1112,a(flip),b,1435,a(flip))]. given #1241 (H,wt=20): 1429 x * ((x * y) / x) != z * y | T(x,x / (x / y)) = z. [para(1426(a,1),20(a,1))]. given #1242 (H,wt=20): 1437 R(((x * (x * y)) / x) / y,y,x) = (x / T(y,x)) * y. [hyper(777,a,1436,a)]. given #1243 (H,wt=18): 1438 R(T(x,x / (1 / y)),y,x) = (x / T(y,x)) * y. [para(1412(a,1),1437(a,1,1))]. given #1244 (H,wt=23): 1377 x \ (y * T(y \ (x * z),u)) = (x \ y) * T((x \ y) \ z,u). [hyper(77,a,1029,a)]. given #1245 (H,wt=23): 1384 (x \ y) * K(z \ (z / ((x \ y) \ (x \ 1))),z) = x \ T(y,z). [hyper(228,a,921,a(flip),b,1381,a(flip))]. given #1246 (H,wt=23): 1390 (x / y) * K(z \ (z / ((x / y) \ (1 / y))),z) = T(x,z) / y. [para(16(a,1),1382(a,1,1,1)),flip(a)]. given #1247 (H,wt=23): 1392 (T(x / (y / z),u) * (y / z)) * z = y * T(y \ (x * z),u). [hyper(228,a,409,a(flip),b,1030,a)]. given #1248 (H,wt=23): 1408 (L(1 / x,y,z) * x) * (x \ u) = u * L(u \ (x \ u),y,z). [hyper(797,a,1238,a),flip(a)]. given #1249 (H,wt=23): 1413 (1 / x) * ((y * ((1 / x) \ z)) / y) = ((y * (z * x)) / y) / x. [hyper(912,a,1255,a)]. given #1250 (H,wt=21): 1442 (1 / x) * ((y * ((1 / x) \ 1)) / y) = ((y * x) / y) / x. [para(11(a,1),1413(a,2,1,1,2))]. given #1251 (H,wt=23): 1415 x * (y * T(y \ (x \ (z * y)),u)) = (T(z / x,u) * x) * y. [hyper(228,a,852,a(flip),b,1261,a(flip)),flip(a)]. given #1252 (H,wt=23): 1416 (x * y) * T((x * y) \ (z * y),u) = (x * T(x \ z,u)) * y. [para(409(a,1),1261(a,2,1))]. given #1253 (H,wt=21): 1445 x * T(x \ (x \ (y * x)),z) = T(x * T(x \ y,z),x). [hyper(171,a,1416,a(flip),b,852,a(flip)),flip(a)]. given #1254 (H,wt=19): 1447 T(x * T(x \ y,z),x) = x * T(x \ T(y,x),z). [para(32(a,2),1445(a,1,2,1,2)),flip(a)]. given #1255 (H,wt=19): 1448 x \ T(x * T(x \ y,z),x) = T(x \ T(y,x),z). [hyper(71,a,1447,a,b,xx)]. given #1256 (H,wt=19): 1449 x \ T(x * T(y,z),x) = T(x \ T(x * y,x),z). [para(13(a,1),1448(a,1,2,1,2,1))]. given #1257 (H,wt=19): 1451 x \ T(x * T(y / x,z),x) = T(T(y,x) / x,z). [para(1291(a,1),1449(a,2,1))]. given #1258 (H,wt=19): 1452 T(x * T(y,z),x) / x = T(T(x * y,x) / x,z). [hyper(228,a,1294,a(flip),b,1451,a(flip)),flip(a)]. given #1259 (H,wt=19): 1453 T(x * T(y / x,z),x) = x * T(T(y,x) / x,z). [para(1451(a,1),14(a,1,2)),flip(a)]. given #1260 (H,wt=17): 1454 T(x * T(1 / x,y),x) = x * T(1 / x,y). [para(146(a,1),1453(a,2,2,1,1))]. given #1261 (H,wt=23): 1417 (x * y) * R((x * y) \ y,z,u) = (x * R(x \ 1,z,u)) * y. [para(598(a,1),1278(a,2,1))]. given #1262 (H,wt=12): 1455 T(x,x * R(x \ 1,y,z)) = x. [hyper(171,a,840,a(flip),b,1417,a(flip))]. given #1263 (H,wt=11): 1458 T(x,(y / (x * y)) * x) = x. [para(611(a,2),1455(a,1,2))]. given #1264 (H,wt=14): 1460 T(x \ 1,x \ R(x,y,z)) = x \ 1. [para(1145(a,1),1455(a,1,2))]. given #1265 (H,wt=16): 1457 T(1 / x,(1 / x) * R(x,y,z)) = 1 / x. [para(64(a,1),1455(a,1,2,2,1))]. given #1266 (H,wt=16): 1459 T(x \ 1,R(x,y,z) * (x \ 1)) = x \ 1. [para(601(a,1),1455(a,1,2))]. given #1267 (H,wt=17): 1462 T(x \ R(x,y,z),x \ 1) = x \ R(x,y,z). [hyper(35,a,1460,a)]. given #1268 (H,wt=20): 1464 R(x \ 1,R(x,y,z),x \ 1) = T(x \ 1,R(x,y,z)). [para(1459(a,1),738(a,1,1))]. given #1269 (H,wt=23): 1439 (x \ y) * T((x \ y) \ (x \ z),u) = x \ (y * T(y \ z,u)). [para(14(a,1),1377(a,1,2,2,1,2)),flip(a)]. given #1270 (H,wt=23): 1440 ((x / y) * T((x / y) \ z,u)) * y = x * T(x \ (z * y),u). [para(409(a,1),1392(a,1,1))]. given #1271 (H,wt=21): 1468 (x / y) * T((x / y) \ z,x) = ((x \ (z * y)) * x) / y. [hyper(72,a,113,a(flip),b,1440,a),flip(a)]. given #1272 (H,wt=21): 1469 ((x / y) * T((x / y) \ 1,z)) * y = x * T(x \ y,z). [para(11(a,1),1440(a,2,2,1,2))]. given #1273 (H,wt=19): 1472 K(x \ (x / (y / z)),x) * z = y * T(y \ z,x). [para(936(a,2),1469(a,1,1))]. given #1274 (H,wt=19): 1473 K(x \ (x / (y / z)),x) = (y * T(y \ z,x)) / z. [hyper(85,a,1472,a),flip(a)]. given #1275 (H,wt=21): 1470 (x / y) * T((x / y) \ 1,z) = (x * T(x \ y,z)) / y. [hyper(85,a,1469,a),flip(a)]. given #1276 (H,wt=21): 1471 K((x / y) \ 1,x / y) * y = x * T(x \ y,x / y). [para(269(a,1),1469(a,1,1))]. given #1277 (H,wt=23): 1441 (x * L(x \ 1,y,z)) * (x \ u) = u * L(u \ (x \ u),y,z). [para(588(a,1),1408(a,1,1))]. given #1278 (H,wt=23): 1443 x * (y * T(y \ (x \ (z * y)),u)) = (x * T(x \ z,u)) * y. [para(409(a,1),1415(a,2,1))]. given #1279 (H,wt=23): 1474 K(x \ (x / ((y * z) / y)),x) = (y * (z * T(z \ 1,x))) / y. [hyper(72,a,692,a(flip),b,1472,a),flip(a)]. given #1280 (H,wt=21): 1482 K(x \ (x / ((y * x) / y)),x) = (y * K(x \ 1,x)) / y. [para(269(a,1),1474(a,2,1,2))]. given #1281 (H,wt=23): 1480 (x * T(x \ (y / z),u)) * z = x * (z * T(z \ (x \ y),u)). [para(16(a,1),1443(a,1,2,2,1,2,2)),flip(a)]. given #1282 (H,wt=23): 1486 ((x / y) * K(y \ 1,y)) * y = x * (y * T(y \ (x \ x),y)). [para(973(a,2),1480(a,1,1))]. given #1283 (H,wt=21): 1487 ((x / y) * K(y \ 1,y)) * y = x * (y * T(y \ 1,y)). [para(52(a,1),1486(a,2,2,2,1,2))]. given #1284 (H,wt=19): 1489 ((x / y) * K(y \ 1,y)) * y = x * ((y \ 1) * y). [para(113(a,1),1487(a,2,2))]. given #1285 (H,wt=19): 1490 ((x / y) * K(y \ 1,y)) * y = x * K(y \ 1,y). [para(269(a,1),1487(a,2,2))]. given #1286 (H,wt=19): 1492 (x * K(y \ 1,y)) * y = (x * y) * K(y \ 1,y). [para(15(a,1),1490(a,1,1,1))]. given #1287 (H,wt=19): 1494 ((x / K(y \ 1,y)) * y) * K(y \ 1,y) = x * y. [hyper(300,a,1492,a),flip(a)]. given #1288 (H,wt=20): 1491 (R(x,y \ 1,y) / y) * K(y \ 1,y) = x * (y \ 1). [hyper(18,a,109,a(flip),b,1489,a)]. given #1289 (H,wt=20): 1495 ((x * (y \ 1)) / K(y \ 1,y)) * y = R(x,y \ 1,y). [hyper(18,a,487,a,b,1494,a)]. given #1290 (H,wt=23): 1496 (x * (y \ 1)) / K(y \ 1,y) != z | R(x,y \ 1,y) / y = z. [para(1491(a,1),295(a,1,1)),flip(b)]. given #1291 (H,wt=24): 327 ((1 / (x * y)) * (x * z)) \ ((1 / y) * z) = a(1 / (x * y),x,z). [para(321(a,1),24(a,2,2,1)),flip(a)]. given #1292 (H,wt=20): 1497 ((x * y) \ (x * z)) / (y \ z) = a(1 / (x * z),x,y). [hyper(228,a,638,a(flip),b,327,a(flip)),flip(a)]. given #1293 (H,wt=22): 1498 a(1 / (x * (x \ y)),x,z) = ((x * z) \ y) / (z \ (x \ y)). [para(14(a,1),1497(a,1,1,2)),flip(a)]. given #1294 (H,wt=24): 448 ((x * (y * z)) * u) / (L(z,y,x) * u) = R(x * y,L(z,y,x),u). [para(100(a,1),30(a,2,1,1)),flip(a)]. given #1295 (H,wt=24): 511 R(x,K(y \ x,y),z) \ (((y \ x) * y) * z) = K(y \ x,y) * z. [para(239(a,1),141(a,1,2,1))]. given #1296 (H,wt=24): 512 R(x * y,L(z,y,x),u) \ ((x * (y * z)) * u) = L(z,y,x) * u. [para(100(a,1),141(a,1,2,1))]. given #1297 (H,wt=24): 651 T((x \ y) * x,K(x,x \ y)) != z | (((x \ y) * x) \ y) \ y = z. [para(95(a,1),648(a,1,2))]. given #1298 (H,wt=24): 757 (x * y) * T((x * y) \ x,z) != u | x * (y * T(y \ 1,z)) = u. [para(356(a,2),218(a,1,2))]. given #1299 (H,wt=24): 763 (x \ y) * L((x \ y) \ y,z,u) != w | L(x,z,u) * (x \ y) = w. [para(248(a,1),219(a,1,2))]. given #1300 (H,wt=24): 802 ((x \ y) * (y \ (x * z))) / (x \ y) = L(z / (x \ y),x \ y,x). [para(458(a,1),603(a,1,1,2))]. given #1301 (H,wt=24): 828 L((x * ((y \ z) \ u)) / x,y \ z,y) = (x * (z \ (y * u))) / x. [para(458(a,1),786(a,2,1,2))]. given #1302 (H,wt=24): 831 R((x * y) / x,z,u) * x != w * v5 | (x * R(y,z,u)) / v5 = w. [para(792(a,2),376(a,1,1))]. given #1303 (H,wt=24): 849 (x \ y) * R((x \ y) \ y,z,u) != w | R(x,z,u) * (x \ y) = w. [para(114(a,1),379(a,1,2,1))]. given #1304 (H,wt=24): 850 (x / y) * R(y,z,u) != w | R(x / (x / y),z,u) * (x / y) = w. [para(188(a,1),379(a,1,2,1))]. given #1305 (H,wt=24): 855 (x * y) * L(L(z,T(x,y),y),u,w) = y * (T(x,y) * L(z,u,w)). [para(45(a,1),453(a,1,2))]. given #1306 (H,wt=24): 859 L(R(T(x,y) \ z,u,w),T(x,y),y) = R((x * y) \ (y * z),u,w). [para(465(a,1),44(a,1,1)),flip(a)]. given #1307 (H,wt=24): 860 L(L(T(x,y) \ z,u,w),T(x,y),y) = L((x * y) \ (y * z),u,w). [para(465(a,1),45(a,1,1)),flip(a)]. given #1308 (H,wt=24): 980 (x \ y) / (y / x) != (x \ y) * z | T(1 / (y / x),x \ y) = z. [para(978(a,1),172(a,2)),flip(a)]. given #1309 (H,wt=24): 1007 ((x \ y) * (y \ x)) \ L((x \ y) \ 1,x \ y,x) = (x \ y) \ 1. [para(14(a,1),1003(a,1,1,2,1))]. given #1310 (H,wt=17): 1501 ((x \ y) * (y \ x)) \ (y \ x) = (x \ y) \ 1. [para(351(a,1),1007(a,1,2))]. given #1311 (H,wt=17): 1502 (x \ y) / ((y \ x) \ 1) = (y \ x) * (x \ y). [para(1501(a,1),61(a,1,2))]. given #1312 (H,wt=17): 1503 (1 / (x \ y)) \ (y \ x) = (y \ x) * (x \ y). [hyper(319,a,1502,a)]. given #1313 (H,wt=17): 1505 (1 / (x \ y)) * ((y \ x) * (x \ y)) = y \ x. [para(1503(a,1),14(a,1,2))]. given #1314 (H,wt=21): 1504 (x \ (x * y)) * ((x * y) \ x) = (1 / ((x * y) \ x)) \ y. [para(13(a,1),1503(a,1,2)),flip(a)]. given #1315 (H,wt=17): 1508 (1 / ((x * y) \ x)) \ y = y * ((x * y) \ x). [para(13(a,1),1504(a,1,1)),flip(a)]. given #1316 (H,wt=17): 1509 (1 / ((x * y) \ x)) * (y * ((x * y) \ x)) = y. [para(1508(a,1),14(a,1,2))]. given #1317 (H,wt=24): 1035 L(T(x / y,z),u,w) * y != v5 | y * L(T(y \ x,z),u,w) = v5. [para(412(a,1),821(a,1,1,1))]. given #1318 (H,wt=24): 1121 (x / y) * z != x * T(x \ (x / y),u) | y * T(y \ 1,u) = z. [para(873(a,1),19(a,1)),flip(a)]. given #1319 (H,wt=24): 1128 x \ L(x * (y \ z),x \ 1,y) = (x \ 1) * ((y * (x \ 1)) \ z). [para(222(a,1),994(a,1,2)),flip(a)]. given #1320 (H,wt=24): 1137 (x / y) * R((x / y) \ 1,x / y,y) = (1 / (x / y)) \ (y / x). [hyper(71,a,362,a(flip),b,1135,a),flip(a)]. given #1321 (H,wt=17): 1510 (1 / (x / y)) \ (y / x) = (y / x) * (x / y). [hyper(228,a,732,a(flip),b,1137,a(flip))]. given #1322 (H,wt=17): 1511 (x / y) / ((y / x) \ 1) = (y / x) * (x / y). [hyper(228,a,317,a,b,1510,a(flip)),flip(a)]. given #1323 (H,wt=17): 1512 (1 / (x / y)) * ((y / x) * (x / y)) = y / x. [para(1510(a,1),14(a,1,2))]. given #1324 (H,wt=17): 1514 ((x / y) * (y / x)) * ((x / y) \ 1) = y / x. [para(1511(a,1),16(a,1,1))]. given #1325 (H,wt=20): 1515 ((x / y) * (y / x)) * ((x / y) \ 1) != z | y / x = z. [para(1511(a,1),215(a,1,1)),flip(b)]. given #1326 (H,wt=21): 1513 (x / (y \ x)) * ((y \ x) / x) = (1 / ((y \ x) / x)) \ y. [para(61(a,1),1510(a,1,2)),flip(a)]. given #1327 (H,wt=17): 1518 (1 / ((x \ y) / y)) \ x = x * ((x \ y) / y). [hyper(580,a,1513,a),flip(a)]. given #1328 (H,wt=17): 1520 ((x \ y) / y) / (x \ 1) = x * ((x \ y) / y). [hyper(228,a,317,a,b,1518,a(flip)),flip(a)]. given #1329 (H,wt=17): 1521 (x * ((x \ y) / y)) * (x \ 1) = (x \ y) / y. [para(1520(a,1),16(a,1,1))]. given #1330 (H,wt=20): 1522 (x * ((x \ y) / y)) * (x \ 1) = R(1 / x,x,x \ y). [hyper(228,a,361,a,b,1521,a)]. given #1331 (H,wt=24): 1150 (x \ R(x,y,z)) * K(x \ 1,R(x,y,z)) = (x \ 1) * R(x,y,z). [para(1147(a,1),93(a,1,1))]. given #1332 (H,wt=24): 1176 R(x,(x * T(x \ 1,y)) / x,x) = T(x,(x * T(x \ 1,y)) / x). [para(1174(a,1),742(a,1,1))]. given #1333 (H,wt=20): 1523 T(x,(x * T(x \ 1,y)) / x) = R(x,T(1 / x,y),x). [para(412(a,1),1176(a,1,2)),flip(a)]. given #1334 (H,wt=16): 1524 R(x,T(1 / x,y),x) = T(x,T(1 / x,y)). [para(412(a,1),1523(a,1,2)),flip(a)]. given #1335 (H,wt=22): 1525 R(R(x,y,z),T(1 / x,u),x) = R(T(x,T(1 / x,u)),y,z). [para(1524(a,1),46(a,1,1)),flip(a)]. given #1336 (H,wt=24): 1211 (x * T(x \ (y \ x),z)) / (y \ x) != u | y * T(y \ 1,z) = u. [para(1167(a,1),295(a,1,1)),flip(b)]. given #1337 (H,wt=24): 1264 (L(x,y \ z,y) * z) \ (x * z) != u | a(y,y \ z,T(x,z)) = u. [para(1262(a,1),283(a,1,1)),flip(b)]. given #1338 (H,wt=24): 1350 T(x,y) / T(x,z) != T(x,y) * u | T(1 / T(x,z),T(x,y)) = u. [para(1347(a,1),172(a,2)),flip(a)]. given #1339 (H,wt=24): 1369 L(x,y,z) * (x * u) != w * v5 | w \ (x * (L(x,y,z) * u)) = v5. [para(1358(a,2),437(a,1))]. given #1340 (H,wt=24): 1376 T((x * y) / x,L(y,z,u) * x) = L((y * x) / x,x,L(y,z,u)). [para(1362(a,1),1265(a,1,1,1)),flip(a)]. given #1341 (H,wt=20): 1527 T((x * y) / x,L(y,z,u) * x) = L(y,x,L(y,z,u)). [para(15(a,1),1376(a,2,1))]. given #1342 (H,wt=20): 1528 x * T(y,L(y,z,u) * x) = L(y,x,L(y,z,u)) * x. [para(1527(a,1),410(a,1,1)),flip(a)]. given #1343 (H,wt=18): 1529 L(T(x,y),y,L(x,z,u)) = T(x,L(x,z,u) * y). [hyper(17,a,183,a,b,1528,a),flip(a)]. given #1344 (H,wt=25): 635 T(x \ ((1 / 1) \ (y * z)),z \ (y \ 1)) = (z \ (y \ 1)) \ (x \ 1). [para(324(a,1),305(a,1,1,2))]. given #1345 (H,wt=23): 1530 T(x \ (1 \ (y * z)),z \ (y \ 1)) = (z \ (y \ 1)) \ (x \ 1). [para(58(a,1),635(a,1,1,2,1))]. given #1346 (H,wt=21): 1531 T(x \ (y * z),z \ (y \ 1)) = (z \ (y \ 1)) \ (x \ 1). [para(51(a,1),1530(a,1,1,2))]. given #1347 (H,wt=25): 719 R(x / R(1 / y,y,z),z / (y * z),y * z) = (x * (y * z)) / z. [para(162(a,2),497(a,1,1,2))]. given #1348 (H,wt=25): 749 (x * R(y,x,x \ 1)) / x != z * u | z \ ((x * y) * (x \ 1)) = u. [para(731(a,1),577(a,1,1,2))]. given #1349 (H,wt=25): 766 (x * y) * (K(y,x) * z) != (y * x) * u | L(z,K(y,x),x * y) = u. [para(93(a,1),445(a,1,1)),flip(a)]. given #1350 (H,wt=25): 834 ((x * R(y,z,u)) / x) * (z * u) != w | (((x * y) / x) * z) * u = w. [para(792(a,1),221(a,1,1))]. given #1351 (H,wt=25): 838 a(1 / (x * y),x,y) \ R((1 / (x * y)) * x,y,y \ 1) = y \ 1. [para(191(a,1),394(a,1,1))]. given #1352 (H,wt=25): 883 T(R(x,y,T(x,y)),z) * (x * y) != u | (x * y) * T(T(x,y),z) = u. [para(181(a,1),654(a,1,1,1))]. given #1353 (H,wt=25): 885 ((x * y) * (y \ z)) / T(x * z,a(x,y,y \ z)) = a(x,y,y \ z). [hyper(72,a,661,a(flip),b,113,a)]. given #1354 (H,wt=25): 949 (x / y) \ T(x,(x / y) \ 1) = (((x / y) \ 1) \ y) * ((x / y) \ 1). [para(16(a,1),918(a,1,2,1))]. given #1355 (H,wt=25): 983 (x * y) * R((x * y) \ (x * z),u,w) = x * (y * R(y \ z,u,w)). [para(102(a,1),451(a,1,2,1))]. given #1356 (H,wt=25): 984 (x * y) * R((x * y) \ z,u,w) = x * (y * R(y \ (x \ z),u,w)). [para(222(a,1),451(a,1,2,1))]. given #1357 (H,wt=23): 1534 x * (y * R(y \ (x \ y),z,u)) = (x * R(x \ 1,z,u)) * y. [hyper(228,a,1417,a(flip),b,984,a(flip))]. given #1358 (H,wt=25): 986 (x * y) * L((x * y) \ z,u,w) = x * (y * L(y \ (x \ z),u,w)). [para(222(a,1),452(a,1,2,1))]. given #1359 (H,wt=25): 989 L((x * y) / (z * y),u,w) * (z * y) = (L(x / z,u,w) * z) * y. [para(110(a,1),482(a,1,1,1))]. given #1360 (H,wt=21): 1535 (L((x * y) / x,z,u) * x) * y = (x * y) * L(y,z,u). [hyper(821,a,989,a),flip(a)]. given #1361 (H,wt=17): 1537 (x * L(y,z,u)) * y = (x * y) * L(y,z,u). [para(590(a,1),1535(a,1,1))]. given #1362 (H,wt=15): 1540 (1 / L(x,y,z)) * x = x / L(x,y,z). [hyper(381,a,1537,a),flip(a)]. given #1363 (H,wt=15): 1541 ((1 / L(x,y,z)) * x) * L(x,y,z) = x. [hyper(151,a,1537,a),flip(a)]. given #1364 (H,wt=17): 1538 (x * y) / L(y,z,u) = (x / L(y,z,u)) * y. [hyper(560,a,1537,a)]. given #1365 (H,wt=17): 1539 ((x / L(y,z,u)) * y) \ (x * y) = L(y,z,u). [hyper(536,a,1537,a)]. given #1366 (H,wt=17): 1542 (x * L(y,z,u)) / y = (x / y) * L(y,z,u). [hyper(72,a,87,a(flip),b,1537,a)]. given #1367 (H,wt=17): 1543 ((x / y) * L(y,z,u)) \ (x * L(y,z,u)) = y. [hyper(71,a,87,a(flip),b,1537,a)]. given #1368 (H,wt=18): 1546 ((x * y) / z) * L(z,y,x) = (x * (y * z)) / z. [para(100(a,1),1542(a,1,1)),flip(a)]. given #1369 (H,wt=18): 1547 L(x,y,z) = ((z * y) / x) \ ((z * (y * x)) / x). [hyper(77,a,1546,a),flip(a)]. given #1370 (H,wt=20): 1545 (x * y) / L(y,z,u) != w | (x / L(y,z,u)) * y = w. [para(1539(a,1),293(a,1,2)),flip(b)]. given #1371 (H,wt=20): 1549 ((x * (y / z)) / z) \ ((x * y) / z) = L(z,y / z,x). [para(16(a,1),1547(a,2,2,1,2)),flip(a)]. given #1372 (H,wt=25): 990 (L((x / y) / z,u,w) * z) * y = L(x / (z * y),u,w) * (z * y). [para(226(a,1),482(a,1,1,1)),flip(a)]. given #1373 (H,wt=25): 991 R((x * y) / (z * y),u,w) * (z * y) = (R(x / z,u,w) * z) * y. [para(110(a,1),483(a,1,1,1))]. given #1374 (H,wt=25): 1032 (x * y) * ((z * ((x * y) \ x)) / z) = x * (y * ((z * (y \ 1)) / z)). [para(787(a,1),100(a,1,2))]. given #1375 (H,wt=19): 1552 x * (y * ((x * (y \ 1)) / x)) = T(x,x / (x * y)). [hyper(1114,a,1032,a),flip(a)]. given #1376 (H,wt=19): 1553 x \ T(x,x / (x * y)) = y * ((x * (y \ 1)) / x). [hyper(71,a,1098,a(flip),b,1032,a(flip))]. given #1377 (H,wt=21): 1556 (x * ((y * (x \ 1)) / y)) / (y \ 1) = T(y,y / (y * x)). [hyper(72,a,1553,a(flip),b,922,a)]. given #1378 (H,wt=25): 1036 ((x * (y / (z * y))) / x) * (z * y) = (((x * (1 / z)) / x) * z) * y. [para(829(a,1),109(a,1,1))]. given #1379 (H,wt=25): 1091 ((x * R(y,y \ 1,x)) / x) * ((y \ 1) * x) = T(x,R(y,y \ 1,x)). [para(391(a,1),1084(a,2,2)),flip(a)]. given #1380 (H,wt=20): 1560 (((x * y) / x) * (y \ 1)) * x = T(x,R(y,y \ 1,x)). [hyper(834,a,1091,a)]. given #1381 (H,wt=18): 1561 (x \ ((y * x) / y)) * y = T(y,R(x,x \ 1,y)). [para(1210(a,1),1560(a,1,1))]. given #1382 (H,wt=18): 1562 T(x,R(y,y \ 1,x)) / x = y \ ((x * y) / x). [hyper(85,a,1561,a)]. given #1383 (H,wt=20): 1563 T(x,R(T(y,x),T(y,x) \ 1,x)) = (T(y,x) \ y) * x. [para(166(a,1),1561(a,1,1,2)),flip(a)]. given #1384 (H,wt=21): 1564 T(x,R(y,y \ 1,x)) / x != z | y \ ((x * y) / x) = z. [para(1561(a,1),295(a,1,1)),flip(b)]. given #1385 (H,wt=22): 1565 (1 / x) \ ((y * (1 / x)) / y) = T(y,R(1 / x,x,y)) / y. [para(64(a,1),1562(a,1,1,2,2)),flip(a)]. given #1386 (H,wt=20): 1566 T(x,R(1 / y,y,x)) / x = y * ((x * (y \ 1)) / x). [hyper(228,a,1409,a(flip),b,1565,a(flip))]. given #1387 (H,wt=20): 1567 (x * ((y * (x \ 1)) / y)) * y = T(y,R(1 / x,x,y)). [para(1566(a,1),16(a,1,1))]. given #1388 (H,wt=20): 1569 T(x,R(1 / y,y,x)) = (x \ T(x,x / (x * y))) * x. [para(1553(a,2),1567(a,1,1)),flip(a)]. given #1389 (H,wt=25): 1146 x \ R(x * (y * (x \ 1)),z,u) = (x \ 1) * R(T(y,x \ 1),z,u). [para(32(a,2),1023(a,1,2,1)),flip(a)]. given #1390 (H,wt=21): 1570 x \ R(x * (y * (x \ 1)),z,u) = R(y,z,u) * (x \ 1). [hyper(228,a,184,a(flip),b,1146,a)]. given #1391 (H,wt=25): 1157 T(L(x \ 1,x,y) \ 1,y) \ (L(x \ 1,x,y) \ 1) = K(x,y) \ 1. [para(1039(a,2),118(a,1,1)),flip(a)]. given #1392 (H,wt=25): 1169 L(x * y,z,u) / ((1 / y) \ 1) = (1 / y) * L((1 / y) \ x,z,u). [para(64(a,1),1134(a,1,1,1,2))]. given #1393 (H,wt=21): 1572 (1 / x) * L((1 / x) \ y,z,u) = L(y * x,z,u) / x. [para(64(a,1),1169(a,1,2)),flip(a)]. given #1394 (H,wt=19): 1573 (1 / x) * L((1 / x) \ 1,y,z) = L(x,y,z) / x. [para(11(a,1),1572(a,2,1,1))]. given #1395 (H,wt=21): 1574 L(1 / (1 / x),y,z) \ 1 = (L(x,y,z) / x) \ (1 / x). [para(1573(a,1),997(a,1,1)),flip(a)]. given #1396 (H,wt=25): 1240 x * ((x \ y) * L((x \ y) \ z,u,w)) = y * L(y \ (x * z),u,w). [para(458(a,1),706(a,1,2,1)),flip(a)]. given #1397 (H,wt=25): 1241 (x / y) * (y * L(y \ z,u,w)) = x * L(x \ ((x / y) * z),u,w). [para(462(a,1),711(a,1,2,1)),flip(a)]. given #1398 (H,wt=25): 1242 x * ((x \ y) * R((x \ y) \ z,u,w)) = y * R(y \ (x * z),u,w). [para(713(a,1),441(a,1,2)),flip(a)]. given #1399 (H,wt=25): 1243 (R(x / (y / z),u,w) * (y / z)) * z = R((x * z) / y,u,w) * y. [para(718(a,1),475(a,1,1)),flip(a)]. given #1400 (H,wt=23): 1578 (R(1 / (x / y),z,u) * (x / y)) * y = R(y / x,z,u) * x. [para(11(a,1),1243(a,2,1,1,1))]. given #1401 (H,wt=23): 1579 (R(1 / (x / y),z,u) * (x / y)) * y = x * R(x \ y,z,u). [hyper(228,a,598,a(flip),b,1578,a)]. given #1402 (H,wt=23): 1580 ((x / y) * R((x / y) \ 1,z,u)) * y = x * R(x \ y,z,u). [para(598(a,1),1579(a,1,1))]. given #1403 (H,wt=23): 1581 (x / y) * R((x / y) \ 1,z,u) = (x * R(x \ y,z,u)) / y. [hyper(85,a,1580,a),flip(a)]. given #1404 (H,wt=25): 1246 (x \ y) * (y \ x) != z * (x \ y) | L(1 / (x \ y),x \ y,x) = z. [para(783(a,1),20(a,1))]. given #1405 (H,wt=25): 1247 (((x * (y * z)) / (x * y)) * x) * y = (x * y) * R(L(z,y,x),x,y). [para(100(a,1),791(a,1,1,1,1))]. given #1406 (H,wt=22): 1583 (((x * (y * z)) / (x * y)) * x) * y = x * (y * R(z,x,y)). [hyper(228,a,451,a(flip),b,1247,a)]. given #1407 (H,wt=24): 1584 (((x * (y * z)) / (x * z)) * x) * z = x * (z * R(T(y,z),x,z)). [para(113(a,1),1583(a,1,1,1,1,2))]. given #1408 (H,wt=22): 1585 (((x * (y * z)) / (x * z)) * x) * z = x * (R(y,x,z) * z). [para(184(a,1),1584(a,2,2))]. given #1409 (H,wt=25): 1252 (x / y) * (y * ((z * (y \ 1)) / z)) = x * ((z * (x \ (x / y))) / z). [para(825(a,1),442(a,1,2)),flip(a)]. given #1410 (H,wt=25): 1272 (x * y) \ ((z * y) * R(x / z,z,y)) = K(z * y,R(x / z,z,y)). [para(16(a,1),478(a,1,1,1))]. given #1411 (H,wt=25): 1295 x \ T(x * L((x * y) / x,z,u),x) = T(x * L(y,z,u),x) / x. [para(590(a,1),1288(a,1,1,1)),flip(a)]. given #1412 (H,wt=25): 1299 ((x \ (y / (z \ 1))) * x) * (z \ 1) = x * (z \ T(z * (x \ y),x)). [para(868(a,1),1280(a,1,2)),flip(a)]. given #1413 (H,wt=25): 1300 ((x \ (y / (1 / z))) * x) * (1 / z) = x * (T((x \ y) * z,x) / z). [para(929(a,1),1280(a,1,2)),flip(a)]. given #1414 (H,wt=25): 1394 T(x / (y \ x),z) \ ((y \ x) \ x) = ((y \ x) \ x) * (T(y,z) \ 1). [para(61(a,1),1393(a,1,2,1,1)),flip(a)]. given #1415 (H,wt=21): 1587 ((x \ y) \ y) * (T(x,z) \ 1) = T(x,z) \ ((x \ y) \ y). [para(61(a,1),1394(a,1,1,1)),flip(a)]. given #1416 (H,wt=25): 1420 (R(x,y,z) * u) * (u \ (x \ 1)) = R(x,y,z) * (u * (u \ (x \ 1))). [para(1419(a,1),483(a,1,1,1)),flip(a)]. given #1417 (H,wt=24): 1588 (R(x,y,z) * u) * (u \ (x \ 1)) != w | R(x,y,z) * (x \ 1) = w. [para(1420(a,2),302(a,1))]. given #1418 (H,wt=25): 1444 ((x * y) * T((x * y) \ x,z)) * y = (x * y) * (y * T(y \ 1,z)). [hyper(228,a,692,a(flip),b,1416,a(flip))]. given #1419 (H,wt=23): 1589 (x * (y * T(y \ 1,z))) * y = (x * y) * (y * T(y \ 1,z)). [para(692(a,1),1444(a,1,1))]. given #1420 (H,wt=25): 1461 T(x,y / (x * y)) * T(y / (x * y),x) = T(x * (y / (x * y)),x). [para(1458(a,1),1077(a,1,1,1)),flip(a)]. given #1421 (H,wt=24): 1590 T(x,y / (x * y)) * R(x \ 1,x,y) = T(x * (y / (x * y)),x). [para(605(a,1),1461(a,1,2))]. given #1422 (H,wt=25): 1463 (R(x,y,z) * (1 / x)) / R(x,y,z) = L(1 / x,R(x,y,z),1 / x). [para(1457(a,1),681(a,1,1,2))]. given #1423 (H,wt=25): 1483 ((x * y) / x) \ ((x * K(y \ 1,y)) / x) = T(((x * y) / x) \ 1,y). [hyper(71,a,1482,a(flip),b,936,a(flip))]. given #1424 (H,wt=25): 1506 T(1 / (x \ y),(y \ x) * (x \ y)) = ((y \ x) * (x \ y)) \ (y \ x). [hyper(171,a,1505,a,b,14,a)]. given #1425 (H,wt=25): 1516 T(1 / (x / y),(y / x) * (x / y)) = ((y / x) * (x / y)) \ (y / x). [hyper(171,a,1512,a,b,14,a)]. given #1426 (H,wt=25): 1526 T(x,T(1 / x,y)) * T(T(1 / x,y),x) = T(x * T(1 / x,y),x). [para(1524(a,1),1234(a,1,1))]. given #1427 (H,wt=23): 1591 T(x,T(1 / x,y)) * T(x \ 1,y) = T(x * T(1 / x,y),x). [para(185(a,1),1526(a,1,2))]. given #1428 (H,wt=21): 1592 T(x,T(1 / x,y)) * T(x \ 1,y) = x * T(1 / x,y). [hyper(228,a,1454,a(flip),b,1591,a)]. given #1429 (H,wt=25): 1533 R((x * y) / (x * z),u,w) * (x * z) = x * (z * R(z \ y,u,w)). [hyper(606,a,983,a)]. given #1430 (H,wt=25): 1536 (x * y) * L((x * y) \ (z * y),u,w) = (L(z / x,u,w) * x) * y. [hyper(797,a,989,a)]. given #1431 (H,wt=25): 1550 (L((x / y) / z,u,w) * z) * y = (z * y) * L((z * y) \ x,u,w). [hyper(228,a,588,a(flip),b,990,a)]. given #1432 (H,wt=25): 1551 (x * y) * R((x * y) \ (z * y),u,w) = (R(z / x,u,w) * x) * y. [hyper(804,a,991,a)]. given #1433 (H,wt=25): 1558 (x * y) * ((z * ((x * y) \ y)) / z) = (((z * (1 / x)) / z) * x) * y. [hyper(912,a,1036,a)]. given #1434 (H,wt=25): 1575 x \ (y * L(y \ (x * z),u,w)) = (x \ y) * L((x \ y) \ z,u,w). [hyper(77,a,1240,a)]. given #1435 (H,wt=23): 1598 (x \ y) * L((x \ y) \ 1,z,u) = x \ (y * L(y \ x,z,u)). [para(12(a,1),1575(a,1,2,2,1,2)),flip(a)]. given #1436 (H,wt=25): 1576 (x / y) * (y * L(y \ ((x / y) \ z),u,w)) = x * L(x \ z,u,w). [para(14(a,1),1241(a,2,2,1,2))]. given #1437 (H,wt=25): 1577 x \ (y * R(y \ (x * z),u,w)) = (x \ y) * R((x \ y) \ z,u,w). [hyper(77,a,1242,a)]. given #1438 (H,wt=23): 1600 (x \ y) * R((x \ y) \ 1,z,u) = x \ (y * R(y \ x,z,u)). [para(12(a,1),1577(a,1,2,2,1,2)),flip(a)]. given #1439 (H,wt=25): 1586 (x / y) \ (x * ((z * (x \ (x / y))) / z)) = y * ((z * (y \ 1)) / z). [hyper(77,a,1252,a)]. given #1440 (H,wt=21): 1601 (x / y) \ (x * ((x / y) / x)) = y * ((x * (y \ 1)) / x). [para(14(a,1),1586(a,1,2,2,1))]. given #1441 (H,wt=17): 1602 K(x,(x / y) / x) = y * ((x * (y \ 1)) / x). [hyper(428,a,1601,a)]. given #1442 (H,wt=17): 1604 K(x,(x / (y \ 1)) / x) = y \ ((x * y) / x). [hyper(228,a,1274,a(flip),b,1602,a)]. given #1443 (H,wt=17): 1609 x * K(x,(x / y) / x) = T(x,x / (x * y)). [para(1602(a,2),1552(a,1,2))]. given #1444 (H,wt=17): 1612 T(x,x / (x * (y \ x))) = x * K(x,y / x). [para(61(a,1),1609(a,1,2,2,1)),flip(a)]. given #1445 (H,wt=19): 1605 (x \ y) * ((y * ((x \ y) \ 1)) / y) = K(y,x / y). [para(61(a,1),1602(a,1,2,1)),flip(a)]. given #1446 (H,wt=20): 1603 x * ((y * (x \ 1)) / y) != z | K(y,(y / x) / y) = z. [para(1601(a,1),428(a,1))]. given #1447 (H,wt=20): 1613 T(x,R(y,x,(y * x) \ x)) = x * K(x,(y * x) / x). [para(108(a,2),1612(a,1,2))]. given #1448 (H,wt=16): 1614 T(x,R(y,x,(y * x) \ x)) = x * K(x,y). [para(15(a,1),1613(a,2,2,2))]. given #1449 (H,wt=21): 1606 x * ((T(x,y) * (x \ 1)) / T(x,y)) = K(T(x,y),1 / x). [para(959(a,1),1602(a,1,2)),flip(a)]. given #1450 (H,wt=24): 1607 x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = K(L(x,y,z),1 / x). [para(1014(a,1),1602(a,1,2)),flip(a)]. given #1451 (H,wt=24): 1615 T(x,R(y,x,(y * x) \ x)) * (x \ z) = x \ ((x * K(x,y)) * z). [para(1614(a,1),1052(a,1,2,1)),flip(a)]. given #1452 (H,wt=19): 1617 x \ ((x * K(x,y)) * z) = (x * K(x,y)) * (x \ z). [para(1614(a,1),1615(a,1,1)),flip(a)]. given #1453 (H,wt=17): 1618 (x * K(x,y)) * (x \ 1) = x \ (x * K(x,y)). [para(12(a,1),1617(a,1,2)),flip(a)]. given #1454 (H,wt=13): 1619 K(x,y) / (x \ 1) = x * K(x,y). [hyper(72,a,13,a(flip),b,1618,a)]. given #1455 (H,wt=25): 1593 R((x * y) / (x * z),u,w) * (x * z) = x * (R(y / z,u,w) * z). [para(598(a,2),1533(a,2,2))]. given #1456 (H,wt=25): 1594 (x * y) * L((x * y) \ (z * y),u,w) = (x * L(x \ z,u,w)) * y. [para(588(a,1),1536(a,2,1))]. given #1457 (H,wt=23): 1623 x * L(x \ (x \ (y * x)),z,u) = T(x * L(x \ y,z,u),x). [hyper(171,a,1594,a(flip),b,986,a(flip)),flip(a)]. given #1458 (H,wt=21): 1627 T(x * L(x \ y,z,u),x) = x * L(x \ T(y,x),z,u). [para(32(a,2),1623(a,1,2,1,2)),flip(a)]. given #1459 (H,wt=21): 1628 x \ T(x * L(x \ y,z,u),x) = L(x \ T(y,x),z,u). [hyper(71,a,1627,a,b,xx)]. given #1460 (H,wt=21): 1629 L(x \ T(x * y,x),z,u) = x \ T(x * L(y,z,u),x). [para(13(a,1),1628(a,1,2,1,2,1)),flip(a)]. given #1461 (H,wt=21): 1631 x \ T(x * L(y / x,z,u),x) = L(T(y,x) / x,z,u). [para(1291(a,1),1629(a,1,1)),flip(a)]. given #1462 (H,wt=21): 1632 L(T(x * y,x) / x,z,u) = T(x * L(y,z,u),x) / x. [hyper(228,a,1295,a(flip),b,1631,a(flip))]. given #1463 (H,wt=23): 1624 (x * y) * L((x * y) \ y,z,u) = (x * L(x \ 1,z,u)) * y. [para(11(a,1),1594(a,1,2,1,2))]. given #1464 (H,wt=12): 1634 T(x,x * L(x \ 1,y,z)) = x. [hyper(171,a,844,a(flip),b,1624,a(flip))]. given #1465 (H,wt=11): 1637 T(x,x * ((y * x) \ y)) = x. [para(161(a,1),1634(a,1,2,2))]. given #1466 (H,wt=11): 1640 T(x,x * ((x \ y) / y)) = x. [para(330(a,1),1637(a,1,2,2))]. given #1467 (H,wt=11): 1642 T(x,x * (y / (x * y))) = x. [para(13(a,1),1640(a,1,2,2,1))]. given #1468 (H,wt=14): 1639 T(1 / x,L(x,y,z) / x) = 1 / x. [para(1573(a,1),1634(a,1,2))]. given #1469 (H,wt=15): 1638 T(x \ y,(x \ y) * (y \ x)) = x \ y. [para(351(a,1),1634(a,1,2,2))]. given #1470 (H,wt=17): 1643 T(x * (y / (x * y)),x) = x * (y / (x * y)). [hyper(35,a,1642,a)]. given #1471 (H,wt=19): 1645 T(x \ (x / y),(x \ (x / y)) * y) = x \ (x / y). [para(64(a,1),1638(a,1,2,2))]. given #1472 (H,wt=21): 1641 T(T(x,y),T(x,y) * ((T(x,y) / x) \ (1 / x))) = T(x,y). [para(957(a,1),1637(a,1,2,2,1))]. given #1473 (H,wt=21): 1648 T((x \ (x / y)) * y,x \ (x / y)) = (x \ (x / y)) * y. [hyper(35,a,1645,a)]. given #1474 (H,wt=22): 1635 T(x * L(x \ 1,T(x,y),y),y) = T(x,y) * ((x * y) \ y). [hyper(171,a,1624,a(flip),b,453,a(flip))]. given #1475 (H,wt=22): 1644 T((x * (1 / y)) / x,L(y,z,u) / y) = (x * (1 / y)) / x. [para(1639(a,1),417(a,1,1,2)),flip(a)]. given #1476 (H,wt=22): 1646 L(x \ y,y \ x,x \ y) * (y \ x) = (y \ x) * (x \ y). [para(1638(a,1),678(a,1,2)),flip(a)]. given #1477 (H,wt=21): 1650 L(x \ y,y \ x,x \ y) = L(1 / (y \ x),y \ x,y). [hyper(18,a,783,a,b,1646,a)]. given #1478 (H,wt=22): 1647 T(x,y / (x * y)) * R(x \ 1,x,y) = x * (y / (x * y)). [hyper(228,a,1590,a,b,1643,a(flip)),flip(a)]. given #1479 (H,wt=23): 1633 x * (y * L(y \ (x \ y),z,u)) = (x * L(x \ 1,z,u)) * y. [hyper(228,a,986,a(flip),b,1624,a(flip)),flip(a)]. given #1480 (H,wt=23): 1651 (x / y) * L((x / y) \ 1,z,u) = (x * L(x \ y,z,u)) / y. [hyper(72,a,1576,a(flip),b,1633,a(flip)),flip(a)]. given #1481 (H,wt=25): 1595 (x * L(x \ (y / z),u,w)) * z = (x * z) * L((x * z) \ y,u,w). [para(588(a,1),1550(a,1,1))]. given #1482 (H,wt=25): 1596 (x * y) * R((x * y) \ (z * y),u,w) = (x * R(x \ z,u,w)) * y. [para(598(a,1),1551(a,2,1))]. given #1483 (H,wt=21): 1660 (x * R(x \ (x * y),z,u)) * y = (x * y) * R(y,z,u). [para(13(a,1),1596(a,1,2,1)),flip(a)]. given #1484 (H,wt=17): 1663 (x * R(y,z,u)) * y = (x * y) * R(y,z,u). [para(13(a,1),1660(a,1,1,2,1))]. given #1485 (H,wt=15): 1666 (1 / x) * R(x,y,z) = R(x,y,z) / x. [hyper(72,a,62,a(flip),b,1663,a),flip(a)]. given #1486 (H,wt=17): 1664 ((x / R(y,z,u)) * y) * R(y,z,u) = x * y. [hyper(300,a,1663,a),flip(a)]. given #1487 (H,wt=17): 1665 (x * R(y,z,u)) \ ((x * y) * R(y,z,u)) = y. [hyper(77,a,1663,a)]. given #1488 (H,wt=18): 1672 R(T(x,y * R(x,z,u)),y,R(x,z,u)) = T(x,y). [para(1665(a,1),1038(a,1,1)),flip(a)]. given #1489 (H,wt=19): 1667 R(1 / (1 / x),y,z) * (1 / x) = R(x,y,z) / x. [hyper(850,a,1666,a)]. given #1490 (H,wt=19): 1674 (x * R(y,z,u)) * T(y,x) = (y * x) * R(y,z,u). [para(1672(a,1),594(a,1,2))]. given #1491 (H,wt=19): 1675 (1 / x) * R((1 / x) \ 1,y,z) = R(x,y,z) / x. [hyper(804,a,1667,a)]. given #1492 (H,wt=19): 1676 R(x,y,z) / T(x,x \ 1) = (x \ 1) * R(x,y,z). [hyper(72,a,54,a(flip),b,1674,a)]. given #1493 (H,wt=19): 1680 R(x,y,z) / ((x \ 1) \ 1) = (x \ 1) * R(x,y,z). [hyper(655,a,1676,a)]. given #1494 (H,wt=20): 1668 R(x,y,z) \ (R(x,y,z) / x) = T(1 / x,R(x,y,z)). [hyper(171,a,1666,a,b,14,a),flip(a)]. given #1495 (H,wt=20): 1671 (x * y) / R(y,z,u) != w | (x / R(y,z,u)) * y = w. [para(1664(a,1),295(a,1,1)),flip(b)]. given #1496 (H,wt=20): 1678 (x * y) * R(x,y,T(x,y)) = T(x * y,x) * T(x,y). [para(1109(a,1),1674(a,1,1)),flip(a)]. given #1497 (H,wt=21): 1679 R(1 / (1 / x),y,z) \ 1 = (R(x,y,z) / x) \ (1 / x). [para(1675(a,1),1144(a,1,1)),flip(a)]. given #1498 (H,wt=23): 1658 x * R(x \ (x \ (y * x)),z,u) = T(x * R(x \ y,z,u),x). [hyper(171,a,1596,a(flip),b,984,a(flip)),flip(a)]. given #1499 (H,wt=21): 1682 T(x * R(x \ y,z,u),x) = x * R(x \ T(y,x),z,u). [para(32(a,2),1658(a,1,2,1,2)),flip(a)]. given #1500 (H,wt=21): 1683 T(x * R(x \ y,z,u),x) / x = R(T(y,x) / x,z,u). [hyper(72,a,1682,a,b,598,a)]. given #1501 (H,wt=21): 1684 x \ T(x * R(x \ y,z,u),x) = R(x \ T(y,x),z,u). [hyper(71,a,1682,a,b,xx)]. given #1502 (H,wt=21): 1685 R(T(x * y,x) / x,z,u) = T(x * R(y,z,u),x) / x. [para(13(a,1),1683(a,1,1,1,2,1)),flip(a)]. given #1503 (H,wt=23): 1669 R(x,y,z) / x != R(x,y,z) * u | T(1 / x,R(x,y,z)) = u. [para(1666(a,1),172(a,2)),flip(a)]. given #1504 (H,wt=25): 1597 (x * y) * ((z * ((x * y) \ y)) / z) = (x * ((z * (x \ 1)) / z)) * y. [para(805(a,1),1558(a,2,1))]. given #1505 (H,wt=23): 1688 (x * ((y * (x \ 1)) / y)) * x = x * (x * ((y * (x \ 1)) / y)). [hyper(228,a,1032,a(flip),b,1597,a(flip))]. given #1506 (H,wt=25): 1616 x * (((x \ 1) * T((x \ 1) \ 1,y)) / T(x,y)) = K(T(x,y),1 / x). [para(411(a,2),1606(a,1,2,1))]. given #1507 (H,wt=25): 1620 R((x * (y * z)) / (x * z),u,w) * (x * z) = x * (R(y,u,w) * z). [para(15(a,1),1593(a,2,2,1,1))]. given #1508 (H,wt=21): 1691 R(T(x,y),z,u) * (x * w) = x * (R(T(x,y),z,u) * w). [para(1056(a,1),1620(a,1,1,1))]. given #1509 (H,wt=19): 1692 R(T(x,y),z,u) * (x \ 1) = x \ R(T(x,y),z,u). [hyper(373,a,1691,a),flip(a)]. given #1510 (H,wt=21): 1693 R(T(x,y),z,u) \ (x * w) = x * (R(T(x,y),z,u) \ w). [hyper(71,a,86,a(flip),b,1691,a)]. given #1511 (H,wt=25): 1621 x * (y * L(y \ (x \ (z * y)),u,w)) = (x * L(x \ z,u,w)) * y. [hyper(228,a,986,a(flip),b,1594,a(flip)),flip(a)]. given #1512 (H,wt=25): 1626 (x * L(x \ (x * y),z,u)) * T(y,w) = (x * T(y,w)) * L(y,z,u). [para(1323(a,1),1594(a,1,2,1)),flip(a)]. given #1513 (H,wt=21): 1694 (x * T(y,z)) * L(y,u,w) = (x * L(y,u,w)) * T(y,z). [para(13(a,1),1626(a,1,1,2,1)),flip(a)]. given #1514 (H,wt=19): 1695 (x * L(y,z,u)) * T(y,x) = (y * x) * L(y,z,u). [para(113(a,1),1694(a,1,1)),flip(a)]. given #1515 (H,wt=25): 1654 (x * L(x \ (y / z),u,w)) * z = x * (z * L(z \ (x \ y),u,w)). [hyper(228,a,986,a(flip),b,1595,a)]. given #1516 (H,wt=25): 1656 x * (y * R(y \ (x \ (z * y)),u,w)) = (x * R(x \ z,u,w)) * y. [hyper(228,a,984,a(flip),b,1596,a(flip)),flip(a)]. given #1517 (H,wt=25): 1673 R(x,y,R(x,z,u)) * (y * R(x,z,u)) = (y * R(x,z,u)) * T(x,y). [para(1672(a,1),184(a,1,2)),flip(a)]. given #1518 (H,wt=25): 1696 (x / y) * L((x / y) \ (z / y),u,w) = (x * L(x \ z,u,w)) / y. [hyper(72,a,1576,a(flip),b,1654,a),flip(a)]. given #1519 (H,wt=23): 1698 (x * L(x \ (y * x),z,u)) / y = (x / y) * L(T(y,x),z,u). [para(1338(a,2),1696(a,1,2,1)),flip(a)]. given #1520 (H,wt=19): 1699 (x / y) * L(T(y,x),z,u) = (L(y,z,u) * x) / y. [para(586(a,1),1698(a,1,1)),flip(a)]. given #1521 (H,wt=21): 1700 (L(x,y,z) * (u * x)) / x = u * L(T(x,u * x),y,z). [para(15(a,1),1699(a,1,1)),flip(a)]. given #1522 (H,wt=23): 1701 T(x * L(T(y,x * y),z,u),y) = y \ (L(y,z,u) * (x * y)). [para(1700(a,1),115(a,1,1))]. given #1523 (H,wt=21): 1702 T(x * L(T(y,x * y),z,u),y) = L(y,z,u) * T(x,y). [hyper(228,a,1372,a(flip),b,1701,a)]. given #1524 (H,wt=26): 446 (x * (y * z)) \ ((x * y) * (L(z,y,x) * u)) = L(u,L(z,y,x),x * y). [para(100(a,1),28(a,2,1)),flip(a)]. given #1525 (H,wt=26): 469 L(L(x,y,z) \ u,L(x,y,z),z * y) = (z * (y * x)) \ ((z * y) * u). [para(100(a,1),102(a,2,1))]. given #1526 (H,wt=19): 1703 a(x,y,z) = L(L(z,y,x) \ z,L(z,y,x),x * y). [hyper(228,a,24,a,b,469,a),flip(a)]. given #1527 (H,wt=26): 480 ((x * R(y,z,u)) * (z * u)) / ((y * z) * u) = R(x,R(y,z,u),z * u). [para(109(a,1),30(a,2,2)),flip(a)]. given #1528 (H,wt=26): 493 R(x,R(y,z,u),z * u) * ((y * z) * u) = (x * R(y,z,u)) * (z * u). [para(109(a,1),109(a,1,2))]. given #1529 (H,wt=26): 504 R(x / R(y,z,u),R(y,z,u),z * u) = (x * (z * u)) / ((y * z) * u). [para(109(a,1),110(a,2,2))]. given #1530 (H,wt=26): 613 (T(x,x \ y) * z) \ (((x \ y) \ y) * (z * u)) = L(u,z,T(x,x \ y)). [hyper(71,a,245,a(flip),b,100,a)]. given #1531 (H,wt=26): 615 (T(x,x \ y) * z) \ (((x \ y) \ y) * (z * u)) = L(u,z,(x \ y) \ y). [para(245(a,2),28(a,2,1)),flip(a)]. given #1532 (H,wt=26): 616 (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) != u | K(z,(x \ y) \ y) = u. [para(245(a,2),286(a,1,1))]. given #1533 (H,wt=26): 769 (x * (y * z)) \ (x * (y * (z * u))) != w | L(L(u,z,y),y * z,x) = w. [para(100(a,1),456(a,1,2,2))]. given #1534 (H,wt=26): 845 (x * y) * L((x * y) \ x,z,u) != w | x * (y * L(y \ 1,z,u)) = w. [para(358(a,1),218(a,1,2))]. given #1535 (H,wt=26): 858 (x * y) * T((x * y) \ (x * z),u) != w | x * (y * T(y \ z,u)) = w. [para(464(a,2),218(a,1,2))]. given #1536 (H,wt=26): 867 R(x,T(y,x),T(z,y * x)) \ (z * (y * x)) = T(y,x) * T(z,y * x). [para(113(a,1),509(a,1,2))]. given #1537 (H,wt=26): 872 (x * y) * T((x * y) \ z,u) != w | x * (y * T(y \ (x \ z),u)) = w. [para(526(a,1),218(a,1,2))]. given #1538 (H,wt=26): 910 R((x * (y / z)) / x,z,z \ 1) / (z \ 1) = z * ((x * (z \ y)) / x). [hyper(228,a,397,a,b,805,a(flip)),flip(a)]. given #1539 (H,wt=23): 1704 ((x * (y * (z \ 1))) / x) / (z \ 1) = z * ((x * (z \ y)) / x). [para(833(a,1),910(a,1,1))]. given #1540 (H,wt=26): 916 T(x,y) * (x * y) != T(x,y) * z | T(T(x,x * y) * y,T(x,y)) = z. [para(864(a,1),172(a,2)),flip(a)]. given #1541 (H,wt=26): 967 K(x \ (x / (1 / (y / (x * y)))),x) = R(x \ 1,x,y) / (y / (x * y)). [para(605(a,1),965(a,2,1))]. given #1542 (H,wt=26): 985 K(x \ 1,x) * L(L(y,x,x \ 1),z,u) = (x \ 1) * (x * L(y,z,u)). [para(189(a,2),452(a,1,1))]. given #1543 (H,wt=26): 1107 T(T(R(x,y,y \ 1),x * y) / (y \ 1),(x * y) * (y \ 1)) = x * y. [para(194(a,1),1105(a,1,1,1,1))]. given #1544 (H,wt=25): 1706 T(T(R(x,y,y \ 1),x * y) / (y \ 1),R(x,y,y \ 1)) = x * y. [para(194(a,1),1107(a,1,2))]. given #1545 (H,wt=18): 1707 T(T(x,x * y) * y,R(x,y,y \ 1)) = x * y. [para(521(a,1),1706(a,1,1))]. given #1546 (H,wt=22): 1708 T(T(T(x,x * y) * y,z),R(x,y,y \ 1)) = T(x * y,z). [para(1707(a,1),38(a,1,1)),flip(a)]. given #1547 (H,wt=18): 1709 T(x * y,R(x,y,y \ 1)) = T(x * y,T(x,y)). [para(915(a,1),1708(a,1,1))]. given #1548 (H,wt=22): 1710 T((x / y) * y,T(x / y,y)) = T(x,R(x / y,y,y \ 1)). [para(16(a,1),1709(a,1,1)),flip(a)]. given #1549 (H,wt=19): 1711 T((x / y) * y,T(x / y,y)) = T(x,x * (y \ 1)). [para(495(a,1),1710(a,2,2))]. given #1550 (H,wt=15): 1712 T(x,T(x / y,y)) = T(x,x * (y \ 1)). [para(16(a,1),1711(a,1,1))]. given #1551 (H,wt=13): 1713 T(x,x * (y \ 1)) = T(x,y \ x). [para(115(a,1),1712(a,1,2)),flip(a)]. given #1552 (H,wt=13): 1714 T(x,(1 / y) \ x) = T(x,x * y). [para(64(a,1),1713(a,1,2,2)),flip(a)]. given #1553 (H,wt=26): 1226 (R(x,y,z) * (x \ u)) \ (R(x,y,z) * u) = T(x,R(x,y,z) * (x \ u)). [hyper(171,a,1220,a(flip),b,223,a),flip(a)]. given #1554 (H,wt=26): 1316 (x * ((x \ 1) * R(x,y,z))) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). [para(1149(a,1),1315(a,1,1,2,1))]. given #1555 (H,wt=25): 1715 L(R(x,y,z),x \ 1,x) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). [para(190(a,1),1316(a,1,1))]. given #1556 (H,wt=26): 1365 (L(x,y,z) * (x \ u)) \ (L(x,y,z) * u) = T(x,L(x,y,z) * (x \ u)). [hyper(171,a,1358,a(flip),b,223,a),flip(a)]. given #1557 (H,wt=26): 1366 ((x * y) * L(x,z,u)) \ (x * (L(x,z,u) * y)) = K(L(x,z,u),x * y). [hyper(71,a,1358,a(flip),b,93,a)]. given #1558 (H,wt=26): 1450 x * T(x \ T(y,x),z) != u * w | u \ T(x * T(x \ y,z),x) = w. [para(1448(a,1),374(a,1,2))]. given #1559 (H,wt=26): 1548 (x * (y * z)) / z != L(z,y,x) * u | T((x * y) / z,L(z,y,x)) = u. [para(1546(a,1),172(a,2)),flip(a)]. given #1560 (H,wt=26): 1555 x \ T(x,x / (x * y)) != z * u | (y * ((x * (y \ 1)) / x)) / u = z. [para(1552(a,1),438(a,1,2))]. given #1561 (H,wt=26): 1568 (T(x,y) * ((T(x,y) \ x) / x)) * x = T(x,R(1 / T(x,y),T(x,y),x)). [para(1059(a,1),1567(a,1,1,2,1))]. given #1562 (H,wt=25): 1716 (T(x,y) * ((T(x,y) \ x) / x)) * x = T(x,(1 * x) / (x * T(x,y))). [para(500(a,1),1568(a,2,2))]. given #1563 (H,wt=23): 1717 (T(x,y) * ((T(x,y) \ x) / x)) * x = T(x,x / (x * T(x,y))). [para(11(a,1),1716(a,2,2,1))]. given #1564 (H,wt=27): 463 (x * (y * (z * u))) \ (x * ((y * z) * u)) = L(a(y,z,u),y * (z * u),x). [para(24(a,2),102(a,1,1)),flip(a)]. given #1565 (H,wt=27): 666 L(L(x,y,z),z * y,u / (z * y)) = u \ ((u / (z * y)) * (z * (y * x))). [para(100(a,1),103(a,1,2,2)),flip(a)]. given #1566 (H,wt=27): 733 (x * R(x \ 1,x,y)) \ (x * (y / (x * y))) != z | K(x,y / (x * y)) = z. [para(611(a,1),286(a,1,1))]. given #1567 (H,wt=27): 767 T(x,x \ 1) * y != x * (K(x,x \ 1) * z) | L(z,K(x,x \ 1),x) = y. [para(432(a,1),445(a,1,1))]. given #1568 (H,wt=27): 773 (x * (y \ z)) * T(y,y \ z) != u * z | R(x,y \ z,T(y,y \ z)) = u. [para(168(a,1),476(a,2,2))]. given #1569 (H,wt=27): 775 (x * y) * K(z \ y,z) != u * ((z \ y) * z) | R(x,y,K(z \ y,z)) = u. [para(239(a,1),476(a,2,2))]. given #1570 (H,wt=27): 778 (T(x,x \ 1) * y) / (K(x,x \ 1) * y) != z | R(x,K(x,x \ 1),y) = z. [para(432(a,1),489(a,1,1,1))]. given #1571 (H,wt=27): 878 L(L(T(x \ 1,y),x,z),z * x,1 / (z * x)) = T((1 / (z * x)) * z,y). [para(356(a,1),569(a,1,1))]. given #1572 (H,wt=27): 1015 L(L(x,y,z) \ u,L(x,y,z),1 / x) = (L(x,y,z) / x) \ ((1 / x) * u). [para(1013(a,1),102(a,2,1))]. given #1573 (H,wt=27): 1095 (x \ y) \ K(T(y,x) \ ((y * x) / y),T(y,x)) = T((x \ y) \ 1,T(y,x)). [para(1085(a,1),937(a,1,2,1,2))]. given #1574 (H,wt=25): 1718 (x \ y) \ K(T(x / y,T(y,x)),T(y,x)) = T((x \ y) \ 1,T(y,x)). [para(1337(a,1),1095(a,1,2,1))]. given #1575 (H,wt=25): 1719 (x \ y) * T((x \ y) \ 1,T(y,x)) = K(T(x / y,T(y,x)),T(y,x)). [para(1718(a,1),14(a,1,2))]. given #1576 (H,wt=23): 1720 K(T(x / y,T(y,x)),T(y,x)) = x \ (y * T(y \ x,T(y,x))). [hyper(228,a,1379,a(flip),b,1719,a(flip))]. given #1577 (H,wt=27): 1152 T((R(x,y,z) * (1 / x)) / R(x,y,z),x) = (x \ R(x,y,z)) / R(x,y,z). [para(1147(a,1),653(a,2,1))]. given #1578 (H,wt=25): 1721 T(L(1 / x,R(x,y,z),1 / x),x) = (x \ R(x,y,z)) / R(x,y,z). [para(1463(a,1),1152(a,1,1))]. given #1579 (H,wt=23): 1722 L(x \ 1,R(x,y,z),1 / x) = (x \ R(x,y,z)) / R(x,y,z). [hyper(228,a,186,a(flip),b,1721,a(flip)),flip(a)]. given #1580 (H,wt=27): 1228 R(x,y,z) * (x * u) != (R(x,y,z) * u) * w | T(x,R(x,y,z) * u) = w. [para(1220(a,2),172(a,2)),flip(a)]. given #1581 (H,wt=27): 1237 x \ ((x * (x \ y)) * ((x \ y) \ z)) = ((y * ((x \ y) \ z)) / z) * (x \ z). [para(667(a,1),1231(a,1,1)),flip(a)]. given #1582 (H,wt=23): 1723 ((x * ((y \ x) \ z)) / z) * (y \ z) = y \ (x * ((y \ x) \ z)). [para(14(a,1),1237(a,1,2,1)),flip(a)]. given #1583 (H,wt=27): 1248 (x * y) * ((z * ((x * y) \ (x * u))) / z) = x * (y * ((z * (y \ u)) / z)). [para(102(a,1),822(a,1,2,1,2))]. given #1584 (H,wt=27): 1249 (x * y) * ((z * ((x * y) \ u)) / z) = x * (y * ((z * (y \ (x \ u))) / z)). [para(222(a,1),822(a,1,2,1,2))]. given #1585 (H,wt=27): 1256 (x * y) * T((x * y) \ (y * z),u) = y * (T(x,y) * T(T(x,y) \ z,u)). [para(857(a,1),453(a,1,2))]. given #1586 (H,wt=21): 1726 T(x,y) * T(T(x,y) \ y,z) = T(x * T(x \ y,z),y). [hyper(171,a,1416,a(flip),b,1256,a(flip)),flip(a)]. given #1587 (H,wt=23): 1727 x * (T(y,x) * T(T(y,x) \ y,z)) = (y * x) * T(K(x,y),z). [para(26(a,2),1256(a,1,2,1)),flip(a)]. given #1588 (H,wt=22): 1728 x * L(y,T(y,x) \ y,T(y,x)) = (y * x) * T(K(x,y),y). [para(1078(a,1),1727(a,1,2))]. given #1589 (H,wt=27): 1307 (x \ 1) * (K(x,x \ 1) * ((x \ 1) \ y)) = K((x \ 1) \ 1,x \ 1) * y. [para(813(a,1),1304(a,1,2,1))]. given #1590 (H,wt=23): 1729 (x \ 1) * (K(x,x \ 1) * ((x \ 1) \ y)) = K(x,x \ 1) * y. [para(813(a,1),1307(a,2,1))]. given #1591 (H,wt=23): 1730 (x \ 1) \ (K(x,x \ 1) * y) = K(x,x \ 1) * ((x \ 1) \ y). [hyper(77,a,1729,a)]. given #1592 (H,wt=27): 1356 K(T(1 / T(x,y),T(x,z)),T(x,z)) / T(x,y) = T(1 / T(x,y),T(x,z)). [para(1349(a,1),940(a,1,1,1))]. given #1593 (H,wt=27): 1368 L(x,y,z) * (x * u) != (L(x,y,z) * u) * w | T(x,L(x,y,z) * u) = w. [para(1358(a,2),172(a,2)),flip(a)]. given #1594 (H,wt=27): 1387 K((x * (y \ z)) \ x,x * (y \ z)) = y \ (z * T(z \ y,x * (y \ z))). [para(15(a,1),1383(a,1,1,2))]. given #1595 (H,wt=27): 1389 (x * y) * K(((x * y) \ x) \ 1,(x * y) \ x) = x * T(y,(x * y) \ x). [para(13(a,1),1380(a,1,2,1)),flip(a)]. given #1596 (H,wt=27): 1476 K(x \ (x / ((y \ x) / T(x,y))),x) = ((y \ x) * ((y \ x) \ x)) / T(x,y). [para(1103(a,1),1473(a,2,1,2))]. given #1597 (H,wt=19): 1732 K(x \ (x / ((y \ x) / T(x,y))),x) = x / T(x,y). [para(14(a,1),1476(a,2,1))]. given #1598 (H,wt=27): 1477 K((x / (y * x)) \ 1,x / (y * x)) * (y * x) = T(y,x / (y * x)) * x. [hyper(228,a,407,a(flip),b,1471,a)]. given #1599 (H,wt=27): 1479 x * ((y \ z) * T((y \ z) \ (x \ z),u)) = (x * T(x \ y,u)) * (y \ z). [para(14(a,1),1443(a,1,2,2,1,2,2))]. given #1600 (H,wt=27): 1485 (x \ 1) * (y * T(y \ ((x \ 1) \ z),u)) = (x \ T(x * (z / y),u)) * y. [para(868(a,1),1480(a,1,1)),flip(a)]. given #1601 (H,wt=25): 1733 (x \ T(x * (y / z),z)) * z = (x \ 1) * ((z \ ((x \ 1) \ y)) * z). [para(113(a,1),1485(a,1,2)),flip(a)]. given #1602 (H,wt=25): 1734 T((x \ (x * (y / x))) * x,x) = (x \ 1) * ((x \ ((x \ 1) \ y)) * x). [hyper(1290,a,1733,a)]. given #1603 (H,wt=17): 1735 T(x,y) = (y \ 1) * ((y \ ((y \ 1) \ x)) * y). [para(65(a,1),1734(a,1,1))]. given #1604 (H,wt=17): 1736 (x \ 1) * ((x \ y) * x) = T((x \ 1) * y,x). [para(13(a,1),1735(a,2,2,1,2)),flip(a)]. given #1605 (H,wt=17): 1737 T((x \ 1) * (x * y),x) = (x \ 1) * (y * x). [para(13(a,1),1736(a,1,2,1)),flip(a)]. given #1606 (H,wt=19): 1740 ((x \ 1) * (x * y)) * x = x * ((x \ 1) * (y * x)). [para(1737(a,1),113(a,1,2)),flip(a)]. given #1607 (H,wt=18): 1741 ((x \ 1) * (x * y)) * x = L(y * x,x \ 1,x). [hyper(228,a,190,a(flip),b,1740,a)]. given #1608 (H,wt=23): 1738 T((x \ 1) * ((y \ x) * y),x) = (x \ 1) * (K(y \ x,y) * x). [para(94(a,1),1736(a,1,2,1)),flip(a)]. given #1609 (H,wt=24): 1739 ((x \ 1) * y) \ T((x \ 1) * y,x) = L(K(x \ y,x),y,x \ 1). [para(1736(a,1),424(a,1,2))]. given #1610 (H,wt=27): 1499 x * ((x \ y) * ((z * ((x \ y) \ u)) / z)) = y * ((z * (y \ (x * u))) / z). [para(828(a,1),441(a,1,2)),flip(a)]. given #1611 (H,wt=25): 1743 x * ((x \ y) * ((z * ((x \ y) \ 1)) / z)) = y * ((z * (y \ x)) / z). [para(12(a,1),1499(a,2,2,1,2,2))]. given #1612 (H,wt=21): 1745 x * K(y,(y / (x \ z)) / y) = z * ((y * (z \ x)) / y). [para(1602(a,2),1743(a,1,2))]. given #1613 (H,wt=25): 1744 (x \ y) * ((z * ((x \ y) \ 1)) / z) = x \ (y * ((z * (y \ x)) / z)). [hyper(77,a,1743,a),flip(a)]. given #1614 (H,wt=25): 1746 (x * y) * ((z * ((x * y) \ y)) / z) = y * K(z,(z / T(x,y)) / z). [para(32(a,2),1745(a,1,2,2,1,2)),flip(a)]. given #1615 (H,wt=21): 1747 T(x * ((y * (x \ 1)) / y),z) = K(y,(y / T(x,z)) / y). [hyper(171,a,1597,a(flip),b,1746,a(flip))]. given #1616 (H,wt=19): 1749 K(x,(x / T(y \ x,z)) / x) = T(K(x,y / x),z). [para(1605(a,1),1747(a,1,1)),flip(a)]. given #1617 (H,wt=21): 1750 T(K(x,y / x),K(y / x,z)) = K(x,(x / (y \ x)) / x). [para(1271(a,1),1749(a,1,2,1,2)),flip(a)]. given #1618 (H,wt=17): 1751 T(K(x,y / x),K(y / x,z)) = K(x,y / x). [para(61(a,1),1750(a,2,2,1))]. given #1619 (H,wt=19): 1752 T(K(x,y),K((y * x) / x,z)) = K(x,(y * x) / x). [para(15(a,1),1751(a,1,1,2))]. given #1620 (H,wt=15): 1753 T(K(x,y),K(y,z)) = K(x,(y * x) / x). [para(15(a,1),1752(a,1,2,1))]. given #1621 (H,wt=11): 1754 T(K(x,y),K(y,z)) = K(x,y). [para(15(a,1),1753(a,2,2))]. given #1622 (H,wt=9): 1755 K(K(x,y),K(y,z)) = 1. [hyper(36,a,1754,a)]. given #1623 (H,wt=11): 1756 T(K(x,y),K(z,x)) = K(x,y). [hyper(35,a,1754,a)]. given #1624 (H,wt=15): 1757 K(x,y) * K(z,x) = K(z,x) * K(x,y). [para(1754(a,1),113(a,1,2))]. given #1625 (H,wt=18): 1758 K(x,y) * K(z,x) != K(z,x) * u | K(x,y) = u. [para(1754(a,1),173(a,1,2)),flip(b)]. given #1626 (H,wt=18): 1759 K(x,y) * K(z,x) != u | K(z,x) * K(x,y) = u. [para(1754(a,1),219(a,1,2))]. given #1627 (H,wt=18): 1763 K(x,y) * K(y,z) != u * K(x,y) | K(y,z) = u. [para(1756(a,1),174(a,1,2)),flip(b)]. given #1628 (H,wt=18): 1764 K(x,y) * K(y,z) != u | K(y,z) * K(x,y) = u. [para(1756(a,1),219(a,1,2))]. given #1629 (H,wt=19): 1760 T(K(x,y),z) * K(y,u) = K(y,u) * T(K(x,y),z). [para(1754(a,1),182(a,1,2,1)),flip(a)]. given #1630 (H,wt=21): 1761 L(K(x,y),z,u) * K(y,w) = K(y,w) * L(K(x,y),z,u). [para(1754(a,1),183(a,1,2,1)),flip(a)]. given #1631 (H,wt=21): 1762 R(K(x,y),z,u) * K(y,w) = K(y,w) * R(K(x,y),z,u). [para(1754(a,1),184(a,1,2,1)),flip(a)]. given #1632 (H,wt=21): 1765 L(K(x,y),z,u) * K(w,x) = K(w,x) * L(K(x,y),z,u). [para(1756(a,1),183(a,1,2,1)),flip(a)]. given #1633 (H,wt=21): 1766 R(K(x,y),z,u) * K(w,x) = K(w,x) * R(K(x,y),z,u). [para(1756(a,1),184(a,1,2,1)),flip(a)]. given #1634 (H,wt=24): 1767 K(x,y) * L(K(y,z),u,w) != v5 | L(K(y,z),u,w) * K(x,y) = v5. [para(1756(a,1),378(a,1,2,1))]. given #1635 (H,wt=24): 1768 K(x,y) * R(K(y,z),u,w) != v5 | R(K(y,z),u,w) * K(x,y) = v5. [para(1756(a,1),379(a,1,2,1))]. given #1636 (H,wt=25): 1748 T(x,y) * ((z * (T(x,y) \ 1)) / z) = T(x * ((z * (x \ 1)) / z),y). [hyper(228,a,1602,a(flip),b,1747,a),flip(a)]. given #1637 (H,wt=21): 1769 T(x,y) * ((x * (T(x,y) \ 1)) / x) = T(x * (1 / x),y). [para(14(a,1),1748(a,2,1,2,1))]. given #1638 (H,wt=19): 1771 T(x,y) * ((T(x,y) \ x) / x) = T(x * (1 / x),y). [para(1059(a,1),1769(a,1,2,1))]. given #1639 (H,wt=27): 1571 T(x,y) \ R(T(x,y) * (T(x,y) \ x),z,u) = R(x,z,u) * (T(x,y) \ 1). [para(1059(a,1),1570(a,1,2,1,2))]. given #1640 (H,wt=19): 1772 R(x,y,z) * (T(x,u) \ 1) = T(x,u) \ R(x,y,z). [para(14(a,1),1571(a,1,2,1)),flip(a)]. given #1641 (H,wt=27): 1608 T(x,y) * ((T(x,z) * (T(x,y) \ 1)) / T(x,z)) = K(T(x,z),1 / T(x,y)). [para(1348(a,1),1602(a,1,2)),flip(a)]. given #1642 (H,wt=25): 1773 T(x,y) * ((T(x,y) \ T(x,z)) / T(x,z)) = K(T(x,z),1 / T(x,y)). [para(1080(a,1),1608(a,1,2,1))]. given #1643 (H,wt=27): 1610 K(x,(x / ((T(x,y) \ 1) \ 1)) / x) = (T(x,y) \ 1) \ ((T(x,y) \ x) / x). [para(1059(a,1),1604(a,2,2,1))]. given #1644 (H,wt=27): 1622 ((x * y) * L((x * y) \ x,z,u)) * y = (x * y) * (y * L(y \ 1,z,u)). [hyper(228,a,844,a(flip),b,1594,a(flip))]. given #1645 (H,wt=25): 1774 (x * (y * L(y \ 1,z,u))) * y = (x * y) * (y * L(y \ 1,z,u)). [para(844(a,1),1622(a,1,1))]. given #1646 (H,wt=24): 1775 (x * y) * (y * L(y \ 1,y,1 / y)) = (x * (y * (1 / y))) * y. [para(352(a,1),1774(a,1,1,2,2)),flip(a)]. given #1647 (H,wt=19): 1776 (x * (y * (1 / y))) * y = (x * y) * (y * (1 / y)). [para(352(a,1),1775(a,1,2,2)),flip(a)]. given #1648 (H,wt=27): 1652 x * ((x * y) * L((x * y) \ y,z,u)) = (x * L(x \ 1,z,u)) * (x * y). [para(13(a,1),1633(a,1,2,2,1,2))]. given #1649 (H,wt=25): 1777 (x * L(x \ 1,y,z)) * (x * u) = x * ((x * L(x \ 1,y,z)) * u). [para(1624(a,1),1652(a,1,2)),flip(a)]. given #1650 (H,wt=27): 1657 (x \ (y * x)) * R((x \ (y * x)) \ x,z,u) = T(y * R(y \ x,z,u),x). [hyper(171,a,1596,a(flip),b,1242,a),flip(a)]. given #1651 (H,wt=25): 1779 T(x,y) * R((y \ (x * y)) \ y,z,u) = T(x * R(x \ y,z,u),y). [para(32(a,2),1657(a,1,1))]. given #1652 (H,wt=23): 1780 T(x,y) * R(T(x,y) \ y,z,u) = T(x * R(x \ y,z,u),y). [para(32(a,2),1779(a,1,2,1,1))]. given #1653 (H,wt=27): 1670 L(R(x,y,z) \ u,R(x,y,z),1 / x) = (R(x,y,z) / x) \ ((1 / x) * u). [para(1666(a,1),102(a,2,1))]. given #1654 (H,wt=27): 1731 K(((x \ y) * (y \ x)) \ (x \ y),(x \ y) * (y \ x)) = y \ (x * (x \ y)). [para(1638(a,1),1387(a,2,2,2))]. given #1655 (H,wt=21): 1782 K(((x \ y) * (y \ x)) \ (x \ y),(x \ y) * (y \ x)) = 1. [hyper(228,a,207,a(flip),b,1731,a)]. given #1656 (H,wt=19): 1784 T(1 / (x \ y),(y \ x) * (x \ y)) = 1 / (x \ y). [para(1782(a,1),945(a,1,1)),flip(a)]. given #1657 (H,wt=17): 1785 ((x \ y) * (y \ x)) \ (x \ y) = 1 / (y \ x). [hyper(228,a,1506,a(flip),b,1784,a(flip)),flip(a)]. given #1658 (H,wt=18): 1786 L((x \ y) \ 1,x \ y,y \ x) = 1 / (x \ y). [hyper(387,a,1785,a)]. given #1659 (H,wt=21): 1787 (((x * y) \ x) * y) \ ((x * y) \ x) = 1 / (x \ (x * y)). [para(13(a,1),1785(a,1,1,2))]. given #1660 (H,wt=17): 1790 (((x * y) \ x) * y) \ ((x * y) \ x) = 1 / y. [para(13(a,1),1787(a,2,2))]. given #1661 (H,wt=14): 1791 L(x \ 1,x,(y * x) \ y) = 1 / x. [hyper(387,a,1790,a)]. given #1662 (H,wt=12): 1794 L(x \ 1,x,x \ 1) = 1 / x. [para(11(a,1),1791(a,1,3,1))]. given #1663 (H,wt=13): 1796 (x \ 1) / (1 / x) = (x \ 1) * x. [para(1794(a,1),359(a,1,2))]. given #1664 (H,wt=11): 1800 T(1 / (1 / x),x \ 1) = x. [hyper(980,a,1796,a)]. given #1665 (H,wt=13): 1801 (x \ 1) / (1 / x) = K(x \ 1,x). [hyper(228,a,189,a,b,1796,a)]. given #1666 (H,wt=13): 1804 T(x,x \ 1) / x = K(x,x \ 1). [para(1800(a,1),1126(a,1,1)),flip(a)]. given #1667 (H,wt=13): 1805 x \ (1 / (1 / x)) = K(x \ 1,x). [hyper(307,a,1801,a)]. given #1668 (H,wt=13): 1806 K(x \ 1,x) * (1 / x) = x \ 1. [para(1801(a,1),16(a,1,1))]. given #1669 (H,wt=13): 1807 K(x,x \ 1) * x = T(x,x \ 1). [para(1804(a,1),16(a,1,1))]. given #1670 (H,wt=13): 1808 ((x \ 1) \ 1) / x = K(x,x \ 1). [para(114(a,1),1804(a,1,1))]. given #1671 (H,wt=13): 1809 x * K(x \ 1,x) = 1 / (1 / x). [para(1805(a,1),14(a,1,2))]. given #1672 (H,wt=12): 1820 L(x,x \ 1,x) = 1 / (1 / x). [hyper(781,a,1809,a)]. given #1673 (H,wt=13): 1813 K(x,x \ 1) * x = (x \ 1) \ 1. [hyper(228,a,114,a(flip),b,1807,a)]. given #1674 (H,wt=13): 1819 K(x \ 1,x) * x = 1 / (1 / x). [hyper(1209,a,1809,a)]. given #1675 (H,wt=14): 1795 L(x \ 1,x,(x \ y) / y) = 1 / x. [para(330(a,1),1791(a,1,3))]. given #1676 (H,wt=14): 1827 L(x \ 1,x,y / (x * y)) = 1 / x. [para(13(a,1),1795(a,1,3,1))]. given #1677 (H,wt=15): 1803 T(T(1 / (1 / x),y),x \ 1) = T(x,y). [para(1800(a,1),38(a,1,1)),flip(a)]. given #1678 (H,wt=11): 1832 T(x,1 / x) = T(x,x \ 1). [para(188(a,1),1803(a,1,1)),flip(a)]. given #1679 (H,wt=11): 1833 T(x,1 / x) = (x \ 1) \ 1. [hyper(228,a,114,a(flip),b,1832,a)]. given #1680 (H,wt=13): 1835 T(x,x \ 1) / x = K(x,1 / x). [para(1832(a,1),747(a,1,1))]. given #1681 (H,wt=11): 1839 K(x,1 / x) = K(x,x \ 1). [hyper(228,a,1804,a(flip),b,1835,a(flip))]. given #1682 (H,wt=11): 1841 K(x,x \ 1) = x * (1 / x). [hyper(349,a,1839,a),flip(a)]. given #1683 (H,wt=11): 1844 x \ K(x,x \ 1) = 1 / x. [hyper(71,a,1839,a(flip),b,192,a(flip))]. given #1684 (H,wt=13): 1837 ((x \ 1) \ 1) / x = K(x,1 / x). [para(1833(a,1),747(a,1,1))]. given #1685 (H,wt=13): 1847 (1 / (1 / x)) * K(x,x \ 1) = x. [para(1839(a,1),812(a,1,2))]. given #1686 (H,wt=13): 1853 K(x,x \ 1) \ 1 = K(1 / x,x). [para(1841(a,2),97(a,1,1))]. given #1687 (H,wt=13): 1862 (x \ 1) \ (1 / x) = K(x,1 / x). [hyper(307,a,1837,a)]. given #1688 (H,wt=13): 1866 (x \ 1) * K(x,1 / x) = 1 / x. [para(1862(a,1),14(a,1,2))]. given #1689 (H,wt=13): 1867 (1 / x) / K(x,1 / x) = x \ 1. [para(1862(a,1),61(a,1,2))]. given #1690 (H,wt=12): 1870 R(1 / x,x,1 / x) = x \ 1. [hyper(641,a,1867,a)]. given #1691 (H,wt=13): 1868 K(x,1 / x) * (x \ 1) = 1 / x. [hyper(1200,a,1866,a)]. given #1692 (H,wt=13): 1869 (x \ 1) * K(x,x \ 1) = 1 / x. [para(1839(a,1),1866(a,1,2))]. given #1693 (H,wt=13): 1872 K(x,x \ 1) * (x \ 1) = 1 / x. [para(1839(a,1),1868(a,1,1))]. given #1694 (H,wt=14): 1846 K(x,x \ 1) != y | x * (1 / x) = y. [para(1839(a,1),349(a,1))]. given #1695 (H,wt=14): 1851 K(x,x \ 1) != x * y | 1 / x = y. [para(1841(a,2),19(a,1))]. given #1696 (H,wt=14): 1860 x * (1 / x) != y | K(x,x \ 1) = y. [para(1844(a,1),213(a,1,2)),flip(b)]. given #1697 (H,wt=14): 1874 K(x,1 / x) != y | K(x,x \ 1) = y. [para(192(a,2),1860(a,1))]. given #1698 (H,wt=15): 1829 T(1 / x,(y / (x * y)) * x) = 1 / x. [hyper(228,a,1142,a,b,1827,a(flip)),flip(a)]. given #1699 (H,wt=15): 1830 L(x \ 1,x,R(1 / x,x,y)) = 1 / x. [para(162(a,2),1827(a,1,3))]. given #1700 (H,wt=15): 1842 K((x \ 1) \ 1,x \ 1) = K(x,1 / x). [hyper(228,a,813,a,b,1839,a),flip(a)]. given #1701 (H,wt=15): 1843 K((x / y) \ x,1 / y) = K(y,y \ 1). [hyper(228,a,645,a,b,1839,a(flip)),flip(a)]. given #1702 (H,wt=15): 1845 K(x \ 1,(x \ 1) \ 1) = K(x \ 1,x). [para(61(a,1),1839(a,1,2)),flip(a)]. given #1703 (H,wt=16): 1802 (x \ 1) / (1 / x) != y | K(x \ 1,x) = y. [para(1796(a,2),315(a,1))]. given #1704 (H,wt=16): 1814 T(x,x \ 1) / x != y | K(x,x \ 1) = y. [para(1807(a,1),295(a,1,1)),flip(b)]. given #1705 (H,wt=16): 1821 1 / (1 / x) != x * y | K(x \ 1,x) = y. [para(1809(a,1),19(a,1))]. given #1706 (H,wt=16): 1822 L(T(x,y),x \ 1,x) = T(1 / (1 / x),y). [para(1820(a,1),40(a,2,1))]. given #1707 (H,wt=16): 1824 ((x \ 1) \ 1) / x != y | K(x,x \ 1) = y. [para(1813(a,1),295(a,1,1)),flip(b)]. given #1708 (H,wt=16): 1826 (1 / (1 / x)) / (x * x) = R(x \ 1,x,x). [para(1819(a,1),272(a,1,1))]. given #1709 (H,wt=17): 1792 (((x * y) \ x) * y) * (1 / y) = (x * y) \ x. [para(1790(a,1),14(a,1,2))]. given #1710 (H,wt=17): 1793 ((x * y) \ x) / (1 / y) = ((x * y) \ x) * y. [para(1790(a,1),61(a,1,2))]. given #1711 (H,wt=17): 1828 (((x \ y) / y) * x) * (1 / x) = (x \ y) / y. [para(1795(a,1),354(a,1,2))]. given #1712 (H,wt=17): 1831 ((x / (y * x)) * y) * (1 / y) = x / (y * x). [para(1827(a,1),354(a,1,2))]. given #1713 (H,wt=17): 1840 K(1 / x,1 / (1 / x)) = (x \ 1) / (1 / x). [para(583(a,1),1835(a,1,1)),flip(a)]. given #1714 (H,wt=15): 1883 K(1 / x,1 / (1 / x)) = K(x \ 1,x). [hyper(228,a,1801,a(flip),b,1840,a)]. given #1715 (H,wt=15): 1884 K(1 / x,(1 / x) \ 1) = K(x \ 1,x). [hyper(1874,a,1883,a)]. given #1716 (H,wt=11): 1885 K(1 / x,x) = K(x \ 1,x). [para(64(a,1),1884(a,1,2))]. given #1717 (H,wt=13): 1886 K(x,x \ 1) \ 1 = K(x \ 1,x). [hyper(228,a,1853,a,b,1885,a(flip)),flip(a)]. given #1718 (H,wt=13): 1888 x * K(1 / x,x) = 1 / (1 / x). [para(1885(a,2),1809(a,1,2))]. given #1719 (H,wt=16): 1891 1 / (1 / x) != x * y | K(1 / x,x) = y. [para(1888(a,1),19(a,1))]. given #1720 (H,wt=17): 1871 R(x / (y * x),y,1 / y) = R(y \ 1,y,x). [para(1870(a,1),364(a,1,1)),flip(a)]. given #1721 (H,wt=17): 1879 T(1 / (1 / x),y) / ((x \ 1) * T(x,y)) = x. [hyper(72,a,1822,a(flip),b,190,a)]. given #1722 (H,wt=17): 1889 (K(x,x \ 1) * y) \ 1 = y \ K(x \ 1,x). [hyper(71,a,1886,a(flip),b,47,a),flip(a)]. given #1723 (H,wt=17): 1890 1 / (x * K(y \ 1,y)) = K(y,y \ 1) / x. [para(1886(a,1),259(a,1,2,2))]. given #1724 (H,wt=18): 1823 L(R(x,y,z),x \ 1,x) = R(1 / (1 / x),y,z). [para(1820(a,1),44(a,1,1)),flip(a)]. given #1725 (H,wt=18): 1836 R(R(x,y,z),1 / x,x) = R(T(x,x \ 1),y,z). [para(1832(a,1),746(a,2,1))]. given #1726 (H,wt=18): 1861 x * (1 / x) != y * z | y \ K(x,x \ 1) = z. [para(1844(a,1),374(a,1,2))]. given #1727 (H,wt=18): 1881 (x * y) \ x = (L(y \ 1,y,x) * y) * (1 / y). [para(161(a,2),1792(a,1,1,1)),flip(a)]. given #1728 (H,wt=18): 1895 K(x,1 / x) != y * z | y \ K(x,x \ 1) = z. [para(192(a,2),1861(a,1))]. given #1729 (H,wt=19): 1834 (x * T(y,y \ 1)) / x = T((x * y) / x,1 / y). [para(1832(a,1),417(a,1,1,2))]. given #1730 (H,wt=19): 1838 L((x \ 1) \ 1,y,z) / x = L(x,y,z) * (1 / x). [para(1833(a,1),1010(a,1,1,1))]. given #1731 (H,wt=19): 1849 T(x,y) \ K(x,x \ 1) = x * (T(x,y) \ (1 / x)). [hyper(71,a,1841,a,b,1054,a)]. given #1732 (H,wt=19): 1858 T(x,y) * ((T(x,y) \ x) / x) = T(K(x,x \ 1),y). [para(1841(a,2),1771(a,2,1))]. given #1733 (H,wt=19): 1859 (x * K(y,y \ 1)) * y = (x * y) * (y * (1 / y)). [para(1841(a,2),1776(a,1,1,2))]. given #1734 (H,wt=19): 1876 T(1 / (x / y),(y / x) * (x / y)) = 1 / (x / y). [para(16(a,1),1829(a,1,2,1,2))]. given #1735 (H,wt=17): 1901 ((x / y) * (y / x)) \ (x / y) = 1 / (y / x). [hyper(228,a,1516,a(flip),b,1876,a(flip)),flip(a)]. given #1736 (H,wt=17): 1902 ((x / y) * (y / x)) * (1 / (y / x)) = x / y. [para(1901(a,1),14(a,1,2))]. given #1737 (H,wt=19): 1877 R(1 / x,x,y) / (1 / x) = R(1 / x,x,y) * x. [para(1830(a,1),359(a,1,2))]. given #1738 (H,wt=14): 1904 T(1 / (1 / x),R(1 / x,x,y)) = x. [hyper(1669,a,1877,a)]. given #1739 (H,wt=13): 1905 T(1 / (1 / x),y / (x * y)) = x. [para(162(a,1),1904(a,1,2))]. given #1740 (H,wt=13): 1906 T(x,y / (x * y)) = T(x,x \ 1). [para(1905(a,1),1803(a,1,1)),flip(a)]. given #1741 (H,wt=13): 1907 T(x,y / (x * y)) = (x \ 1) \ 1. [hyper(228,a,114,a(flip),b,1906,a)]. given #1742 (H,wt=15): 1909 T(x / y,y / x) = ((x / y) \ 1) \ 1. [para(16(a,1),1907(a,1,2,2))]. given #1743 (H,wt=18): 1910 x \ T(x,y / (x * y)) != z | K(x,x \ 1) = z. [para(1907(a,2),433(a,1,2))]. given #1744 (H,wt=19): 1896 L(x \ 1,x,y) / (1 / x) = L(x \ 1,x,y) * x. [hyper(566,a,1881,a)]. given #1745 (H,wt=19): 1897 T((x * y) / x,1 / y) = T((x * y) / x,y \ 1). [hyper(420,a,1834,a),flip(a)]. given #1746 (H,wt=19): 1900 (x * K(y,y \ 1)) * y = (x * y) * K(y,y \ 1). [para(1841(a,2),1859(a,2,2))]. given #1747 (H,wt=19): 1913 (x * K(y,y \ 1)) \ ((x * y) * K(y,y \ 1)) = y. [hyper(77,a,1900,a)]. given #1748 (H,wt=19): 1914 (x * K(y,y \ 1)) / y = (x / y) * K(y,y \ 1). [hyper(72,a,87,a(flip),b,1900,a)]. given #1749 (H,wt=20): 1848 R(x,y,1 / y) * K(y,y \ 1) = (x * y) * (1 / y). [para(1839(a,1),488(a,1,2))]. given #1750 (H,wt=20): 1915 R(T(x,y * K(x,x \ 1)),y,K(x,x \ 1)) = T(x,y). [para(1913(a,1),1038(a,1,1)),flip(a)]. given #1751 (H,wt=21): 1856 L(x,y,z) * K(x,x \ 1) = x * (L(x,y,z) * (1 / x)). [para(1841(a,2),1358(a,1,2))]. given #1752 (H,wt=21): 1857 L(x,y,z) \ K(x,x \ 1) = x * (L(x,y,z) \ (1 / x)). [para(1841(a,2),1363(a,1,2))]. given #1753 (H,wt=21): 1878 K(T(x \ 1,x),(x \ 1) \ 1) = K(x \ 1,1 / (x \ 1)). [para(1188(a,2),1842(a,1,1))]. given #1754 (H,wt=17): 1917 K(T(x \ 1,x),(x \ 1) \ 1) = K(x \ 1,x). [para(61(a,1),1878(a,2,2))]. given #1755 (H,wt=17): 1918 K(T(x \ 1,x),T(x,x \ 1)) = K(x \ 1,x). [para(114(a,2),1917(a,1,2))]. given #1756 (H,wt=21): 1899 T(L(x,y,z) * (1 / x),x) = x \ L((x \ 1) \ 1,y,z). [para(1838(a,1),115(a,1,1))]. given #1757 (H,wt=21): 1903 ((x * y) / y) * (y / (x * y)) = x / (1 / (y / (x * y))). [hyper(72,a,15,a(flip),b,1902,a),flip(a)]. given #1758 (H,wt=17): 1920 x / (1 / (y / (x * y))) = x * (y / (x * y)). [para(15(a,1),1903(a,1,1)),flip(a)]. given #1759 (H,wt=21): 1911 ((((x * y) / x) \ 1) \ 1) * x = x * T(y,x / (x * y)). [para(1909(a,1),410(a,1,1))]. given #1760 (H,wt=21): 1912 T((x * T(y,x)) / x,T(y,x) \ 1) = T(y,1 / T(y,x)). [para(166(a,1),1897(a,1,1)),flip(a)]. given #1761 (H,wt=15): 1923 T(x,1 / T(x,y)) = T(x,T(x,y) \ 1). [para(166(a,1),1912(a,1,1)),flip(a)]. given #1762 (H,wt=19): 1924 T(x,T(x,y) \ 1) / T(x,y) = x * (1 / T(x,y)). [para(1923(a,1),1331(a,1,1))]. given #1763 (H,wt=22): 1788 L(((x * y) \ x) \ 1,(x * y) \ x,y) = 1 / ((x * y) \ x). [para(13(a,1),1786(a,1,3))]. given #1764 (H,wt=17): 1926 (x * ((y * x) \ y)) \ x = 1 / ((y * x) \ y). [hyper(228,a,161,a(flip),b,1788,a(flip)),flip(a)]. given #1765 (H,wt=22): 1797 x * L(x \ (y \ x),y,y \ 1) = (y * (1 / y)) * (y \ x). [para(1794(a,1),1441(a,1,1,2)),flip(a)]. given #1766 (H,wt=22): 1798 x * (y * L(y \ (x \ y),x,x \ 1)) = (x * (1 / x)) * y. [para(1794(a,1),1633(a,2,1,2))]. given #1767 (H,wt=22): 1927 x * L(x \ (y \ x),y,y \ 1) = K(y,y \ 1) * (y \ x). [para(1841(a,2),1797(a,2,1))]. given #1768 (H,wt=19): 1928 x * (K(x,x \ 1) * (x \ y)) = (x * (1 / x)) * y. [para(1927(a,1),1798(a,1,2))]. given #1769 (H,wt=19): 1930 x * (K(x,x \ 1) * (x \ y)) = K(x,x \ 1) * y. [para(1841(a,2),1928(a,2,1))]. given #1770 (H,wt=19): 1931 x \ (K(x,x \ 1) * y) = K(x,x \ 1) * (x \ y). [hyper(77,a,1930,a)]. given #1771 (H,wt=19): 1932 K(x,x \ 1) * (x * y) = x * (K(x,x \ 1) * y). [para(13(a,1),1930(a,1,2,2)),flip(a)]. given #1772 (H,wt=20): 1929 K(x,x \ 1) * (x \ L(y,1 / x,x)) = (1 / x) * y. [hyper(17,a,100,a(flip),b,1928,a)]. given #1773 (H,wt=21): 1934 x * (K(x,x \ 1) * T(y,x)) = K(x,x \ 1) * (y * x). [para(32(a,2),1930(a,1,2,2))]. given #1774 (H,wt=22): 1933 K(x,x \ 1) * y != x * z | K(x,x \ 1) * (x \ y) = z. [para(1930(a,1),19(a,1))]. given #1775 (H,wt=23): 1852 K(x * (y \ 1),(x * (y \ 1)) \ 1) = (x * (y \ 1)) * (y / x). [para(259(a,1),1841(a,2,2))]. given #1776 (H,wt=23): 1854 (x * y) * (1 / y) != z * K(y,y \ 1) | R(x,y,1 / y) = z. [para(1841(a,2),476(a,2,2))]. given #1777 (H,wt=23): 1894 R(x,y,z) \ R(T(x,x \ 1),y,z) = a(R(x,y,z),1 / x,x). [para(1836(a,1),672(a,1,2))]. given #1778 (H,wt=23): 1898 L(1 / x,y,z) * (1 / (1 / x)) = L(x \ 1,y,z) / (1 / x). [para(64(a,1),1838(a,1,1,1,1)),flip(a)]. given #1779 (H,wt=23): 1925 ((x * (1 / T(x,y))) / x) * T(x,y) = T(x,T(x,y) \ 1) / x. [para(1924(a,1),1325(a,1,1,1))]. given #1780 (H,wt=23): 1937 K(x,x \ 1) * y != (1 / x) * z | x \ L(z,1 / x,x) = y. [para(1929(a,1),19(a,1)),flip(a)]. given #1781 (H,wt=23): 1938 T(x,y) * ((x * (T(x,y) \ 1)) / x) = T(x,T(x,y) \ 1) / x. [hyper(912,a,1925,a)]. given #1782 (H,wt=21): 1939 T(x,y) * ((T(x,y) \ x) / x) = T(x,T(x,y) \ 1) / x. [para(1059(a,1),1938(a,1,2,1))]. given #1783 (H,wt=21): 1940 x * (T(x,T(x,y) \ 1) / x) = T(x,x / (x * T(x,y))). [para(1938(a,1),1552(a,1,2))]. given #1784 (H,wt=21): 1941 (T(x,T(x,y) \ 1) / x) * x = T(x,x / (x * T(x,y))). [para(1939(a,1),1717(a,1,1))]. given #1785 (H,wt=17): 1942 T(x,x / (x * T(x,y))) = T(x,T(x,y) \ 1). [hyper(215,a,1941,a)]. given #1786 (H,wt=19): 1944 x * (T(x,T(x,y) \ 1) / x) = T(x,T(x,y) \ 1). [hyper(228,a,1940,a,b,1942,a(flip)),flip(a)]. given #1787 (H,wt=21): 1945 x * (T(x,y) * ((T(x,y) \ x) / x)) = T(x,T(x,y) \ 1). [para(1939(a,2),1944(a,1,2))]. given #1788 (H,wt=17): 1946 x * T(K(x,x \ 1),y) = T(x,T(x,y) \ 1). [para(1858(a,1),1945(a,1,2))]. given #1789 (H,wt=20): 1947 T(x,T(x,y) \ 1) != x * z | T(K(x,x \ 1),y) = z. [para(1946(a,1),19(a,1))]. given #1790 (H,wt=24): 1789 x \ (y * L(y \ x,x \ y,y \ x)) = (x \ y) * (1 / (x \ y)). [para(1786(a,1),1598(a,1,2)),flip(a)]. given #1791 (H,wt=24): 1815 T(x,x \ 1) * L(y,x,K(x,x \ 1)) = K(x,x \ 1) * (x * y). [para(1807(a,1),100(a,1,1))]. given #1792 (H,wt=24): 1816 T(x,x \ 1) \ (K(x,x \ 1) * y) = L(x \ y,x,K(x,x \ 1)). [para(1807(a,1),102(a,2,1)),flip(a)]. given #1793 (H,wt=24): 1825 ((x \ 1) \ 1) / L(y \ x,y,K(x,x \ 1)) = K(x,x \ 1) * y. [para(1813(a,1),439(a,1,1))]. given #1794 (H,wt=24): 1892 R(x \ 1,x,y) \ (((y / (x * y)) * x) * (1 / x)) = x * (1 / x). [para(1871(a,1),141(a,1,1))]. given #1795 (H,wt=24): 1893 R(1 / (1 / x),y,z) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). [para(1823(a,1),1715(a,1,1))]. given #1796 (H,wt=24): 1916 T((x / y) * K(y,y \ 1),y) != z | y \ (x * K(y,y \ 1)) = z. [para(1914(a,1),647(a,1,1))]. given #1797 (H,wt=24): 1921 K(x \ (x * (y / (x * y))),x) = R(x \ 1,x,y) / (y / (x * y)). [para(1920(a,1),967(a,1,1,2))]. given #1798 (H,wt=20): 1951 R(x \ 1,x,y) / (y / (x * y)) = K(y / (x * y),x). [hyper(228,a,644,a(flip),b,1921,a(flip))]. given #1799 (H,wt=20): 1953 K(x / (y * x),y) * (x / (y * x)) = R(y \ 1,y,x). [para(1951(a,1),16(a,1,1))]. given #1800 (H,wt=23): 1954 R(x \ 1,x,y) != z * (y / (x * y)) | K(y / (x * y),x) = z. [para(1953(a,1),20(a,1))]. given #1801 (H,wt=24): 1922 ((((x * y) / x) \ 1) \ 1) * x != x * z | T(y,x / (x * y)) = z. [para(1911(a,2),19(a,1))]. given #1802 (H,wt=24): 1948 x \ (y * L(y \ x,x \ y,y \ x)) = K(x \ y,(x \ y) \ 1). [hyper(228,a,1841,a,b,1789,a)]. given #1803 (H,wt=24): 1949 T(x,x \ 1) * L(y,x,K(x,x \ 1)) = x * (K(x,x \ 1) * y). [hyper(228,a,1932,a(flip),b,1815,a)]. given #1804 (H,wt=17): 1956 L(x,K(y,y \ 1),y) = L(x,y,K(y,y \ 1)). [hyper(767,a,1949,a)]. given #1805 (H,wt=24): 1950 R(x \ 1,x,y) \ (((y / (x * y)) * x) * (1 / x)) = K(x,x \ 1). [hyper(228,a,1841,a,b,1892,a)]. given #1806 (H,wt=18): 1958 R(x \ 1,x,y) \ (y / (x * y)) = K(x,x \ 1). [para(1831(a,1),1950(a,1,2))]. given #1807 (H,wt=18): 1959 x / (y * x) = R(y \ 1,y,x) * K(y,y \ 1). [para(1958(a,1),14(a,1,2)),flip(a)]. given #1808 (H,wt=21): 1960 x / (y * x) != z * K(y,y \ 1) | R(y \ 1,y,x) = z. [para(1958(a,1),84(a,1,2)),flip(a),flip(b)]. given #1809 (H,wt=24): 1955 x * L(x \ y,y \ x,x \ y) = y * K(y \ x,(y \ x) \ 1). [para(1948(a,1),14(a,1,2)),flip(a)]. given #1810 (H,wt=25): 1799 K(x \ 1,x) * L(1 / x,y,z) = (x \ 1) * (x * L(x \ 1,y,z)). [para(1794(a,1),985(a,1,2,1))]. given #1811 (H,wt=25): 1887 K(T(x \ 1,x) \ 1,T(x \ 1,x)) = K(T(x,x \ 1),T(x \ 1,x)). [para(1187(a,1),1885(a,1,1)),flip(a)]. given #1812 (H,wt=25): 1908 K((x / (y * x)) \ 1,x / (y * x)) * (y * x) = T(y,y \ 1) * x. [para(1906(a,1),1477(a,2,1))]. given #1813 (H,wt=25): 1919 K(T((x \ 1) \ 1,x \ 1),T(x \ 1,(x \ 1) \ 1)) = K(x,x \ 1). [hyper(228,a,813,a(flip),b,1918,a)]. given #1814 (H,wt=23): 1962 K(T(x \ 1,x) \ 1,T(x \ 1,(x \ 1) \ 1)) = K(x,x \ 1). [para(1192(a,1),1919(a,1,1))]. given #1815 (H,wt=19): 1963 K(T(x \ 1,x) \ 1,T(x \ 1,x)) = K(x,x \ 1). [para(1191(a,1),1962(a,1,2))]. given #1816 (H,wt=17): 1964 K(T(x,x \ 1),T(x \ 1,x)) = K(x,x \ 1). [hyper(228,a,1887,a(flip),b,1963,a(flip)),flip(a)]. given #1817 (H,wt=19): 1965 K(T(x,x \ 1),T(x,x \ 1) \ 1) = K(x,x \ 1). [para(1184(a,2),1964(a,1,2))]. given #1818 (H,wt=25): 1957 L(x,1 / y,K(1 / y,(1 / y) \ 1)) = L(x,K(y \ 1,y),1 / y). [para(1884(a,1),1956(a,1,2)),flip(a)]. given #1819 (H,wt=26): 1810 (x \ 1) * L(y,1 / x,K(x \ 1,x)) = K(x \ 1,x) * ((1 / x) * y). [para(1806(a,1),100(a,1,1))]. given #1820 (H,wt=23): 1968 L(x \ L(y,1 / x,K(x \ 1,x)),x,x \ 1) = (1 / x) * y. [hyper(1040,a,1810,a(flip))]. given #1821 (H,wt=26): 1811 L((1 / x) \ y,1 / x,K(x \ 1,x)) = (x \ 1) \ (K(x \ 1,x) * y). [para(1806(a,1),102(a,2,1))]. given #1822 (H,wt=27): 1742 x \ (y * ((z * (y \ (x * u))) / z)) = (x \ y) * ((z * ((x \ y) \ u)) / z). [hyper(77,a,1499,a)]. given #1823 (H,wt=27): 1817 T(x,x \ 1) * y != K(x,x \ 1) * (x * z) | L(z,x,K(x,x \ 1)) = y. [para(1807(a,1),445(a,1,1))]. given #1824 (H,wt=27): 1818 T(x,x \ 1) \ (K(x,x \ 1) * y) != z | L(x \ y,x,K(x,x \ 1)) = z. [para(1807(a,1),568(a,1,1))]. given #1825 (H,wt=27): 1935 (x \ 1) * (K(x \ 1,x) * ((x \ 1) \ y)) = K(x \ 1,(x \ 1) \ 1) * y. [para(1845(a,1),1930(a,1,2,1))]. given #1826 (H,wt=23): 1970 (x \ 1) * (K(x \ 1,x) * ((x \ 1) \ y)) = K(x \ 1,x) * y. [para(1845(a,1),1935(a,2,1))]. given #1827 (H,wt=23): 1971 (x \ 1) \ (K(x \ 1,x) * y) = K(x \ 1,x) * ((x \ 1) \ y). [hyper(77,a,1970,a)]. given #1828 (H,wt=26): 1972 L((1 / x) \ y,1 / x,K(x \ 1,x)) = K(x \ 1,x) * ((x \ 1) \ y). [hyper(228,a,1811,a,b,1971,a(flip)),flip(a)]. given #1829 (H,wt=27): 1936 (1 / x) * (K(x \ 1,x) * ((1 / x) \ y)) = K(1 / x,(1 / x) \ 1) * y. [para(1884(a,1),1930(a,1,2,1))]. given #1830 (H,wt=27): 1969 (x \ y) * ((z * ((x \ y) \ (x \ u))) / z) = x \ (y * ((z * (y \ u)) / z)). [para(14(a,1),1742(a,1,2,2,1,2,2)),flip(a)]. given #1831 (H,wt=28): 657 ((x * (y \ 1)) * T(z,z \ 1)) / ((z \ y) \ 1) = R(x,y \ 1,T(z,z \ 1)). [para(626(a,1),30(a,2,2)),flip(a)]. given #1832 (H,wt=28): 964 T((T(x,y) * (1 / x)) / T(x,y),T(x,y) / x) = L(1 / x,T(x,y),1 / x). [para(957(a,1),683(a,1,2))]. given #1833 (H,wt=22): 1975 (T(x,y) * (1 / x)) / T(x,y) = L(1 / x,T(x,y),1 / x). [hyper(228,a,1183,a(flip),b,964,a(flip)),flip(a)]. given #1834 (H,wt=24): 1977 T(L(1 / x,T(x,y),1 / x),x) = (T(x,y) * (x \ 1)) / T(x,y). [para(1975(a,1),653(a,1,1))]. given #1835 (H,wt=22): 1978 (T(x,y) * (x \ 1)) / T(x,y) = L(x \ 1,T(x,y),1 / x). [hyper(228,a,186,a(flip),b,1977,a(flip))]. given #1836 (H,wt=20): 1979 x * L(x \ 1,T(x,y),1 / x) = K(T(x,y),1 / x). [para(1978(a,1),1606(a,1,2))]. given #1837 (H,wt=28): 1017 (x * y) * R((x * y) \ z,u,w) != v5 | x * (y * R(y \ (x \ z),u,w)) = v5. [para(527(a,1),218(a,1,2))]. given #1838 (H,wt=28): 1019 (x * y) * L((x * y) \ z,u,w) != v5 | x * (y * L(y \ (x \ z),u,w)) = v5. [para(528(a,1),218(a,1,2))]. given #1839 (H,wt=28): 1033 (x * y) * ((z * ((x * y) \ x)) / z) != u | x * (y * ((z * (y \ 1)) / z)) = u. [para(787(a,1),218(a,1,2))]. given #1840 (H,wt=28): 1041 (x * y) * T((x * y) \ x,z) != u * w | (x * (y * T(y \ 1,z))) / w = u. [para(356(a,2),531(a,1,2))]. given #1841 (H,wt=28): 1131 (x \ (y \ z)) \ L(x \ (y \ z),x,y) = ((y * x) \ z) * ((x \ (y \ z)) \ 1). [para(222(a,1),1129(a,1,1)),flip(a)]. given #1842 (H,wt=25): 1980 ((x * y) \ z) * ((y \ (x \ z)) \ 1) = (y \ (x \ z)) \ ((x * y) \ z). [para(222(a,1),1131(a,1,2)),flip(a)]. given #1843 (H,wt=28): 1132 (x \ y) \ (((y \ x) \ 1) \ L((y \ x) \ 1,y \ x,y)) = ((y \ x) \ 1) \ 1. [para(351(a,1),1130(a,1,1))]. given #1844 (H,wt=21): 1981 (x \ y) \ (((y \ x) \ 1) \ (x \ y)) = ((y \ x) \ 1) \ 1. [para(351(a,1),1132(a,1,2,2))]. given #1845 (H,wt=21): 1982 (x \ y) * (((y \ x) \ 1) \ 1) = ((y \ x) \ 1) \ (x \ y). [para(1981(a,1),14(a,1,2))]. given #1846 (H,wt=28): 1143 ((x / (y * x)) * y) * z != x / (y * x) | T(1 / y,(x / (y * x)) * y) = z. [para(1140(a,1),172(a,2))]. given #1847 (H,wt=28): 1161 ((x \ R(1 / y,y,x)) * x) * (y * x) = x * ((y * x) * T((y * x) \ 1,x)). [para(162(a,2),1159(a,1,1,1,2))]. given #1848 (H,wt=28): 1216 L(K(x,y) \ T(T(x,y),z),K(x,y),y * x) = (x * y) \ ((T(x,z) * y) * x). [para(1031(a,1),466(a,2,2))]. given #1849 (H,wt=28): 1273 (x * y) * R((x * y) \ (x * z),u,w) != v5 | x * (y * R(y \ z,u,w)) = v5. [para(102(a,1),755(a,1,2,1))]. given #1850 (H,wt=28): 1310 (K(x \ 1,x) * y) \ (x * (K(x \ 1,x) * y)) = L(T(x,y),y,K(x \ 1,x)). [para(1305(a,1),179(a,1,2))]. given #1851 (H,wt=23): 1985 L(T(x,y),y,K(x \ 1,x)) != z | T(x,K(x \ 1,x) * y) = z. [para(1310(a,1),285(a,1))]. given #1852 (H,wt=28): 1341 (L(x \ 1,x,y) * y) / L(x \ 1,x,y) = (y * x) * T(L(x \ 1,x,y),y). [para(359(a,1),1334(a,1,1)),flip(a)]. given #1853 (H,wt=25): 1986 (L(x \ 1,x,y) * y) / L(x \ 1,x,y) = y * (x * T(x \ 1,y)). [hyper(228,a,450,a(flip),b,1341,a)]. given #1854 (H,wt=13): 1987 T(x,x * (y * T(y \ 1,x))) = x. [para(1986(a,1),421(a,1,2))]. given #1855 (H,wt=9): 1990 T(x,x * K(y,x)) = x. [para(934(a,2),1987(a,1,2,2))]. given #1856 (H,wt=13): 1992 T(x * K(y,x),x) = x * K(y,x). [hyper(35,a,1990,a)]. given #1857 (H,wt=15): 1991 T(x,x * (y \ (z * T(z \ y,x)))) = x. [para(1379(a,1),1987(a,1,2,2))]. given #1858 (H,wt=19): 1993 T(x,x * (T(x,y) \ ((y \ x) * ((y \ x) \ x)))) = x. [para(1103(a,1),1991(a,1,2,2,2,2))]. given #1859 (H,wt=11): 1994 T(x,x * (T(x,y) \ x)) = x. [para(14(a,1),1993(a,1,2,2,2))]. given #1860 (H,wt=15): 1995 T(T(x,y),x * (T(x,z) \ x)) = T(x,y). [para(1994(a,1),38(a,1,1)),flip(a)]. given #1861 (H,wt=15): 1996 (x * (T(x,y) \ x)) \ (x * x) = T(x,y). [hyper(228,a,1055,a(flip),b,1995,a(flip)),flip(a)]. given #1862 (H,wt=15): 1997 (x * x) / T(x,y) = x * (T(x,y) \ x). [para(1996(a,1),61(a,1,2))]. given #1863 (H,wt=13): 1999 T(x / T(x,y),x) = T(x,y) \ x. [hyper(1332,a,1997,a)]. given #1864 (H,wt=15): 2000 (x / T(x,y)) * x = x * (T(x,y) \ x). [hyper(228,a,1319,a(flip),b,1997,a(flip)),flip(a)]. given #1865 (H,wt=21): 2002 T(x,y) * T(T(x,y) \ x,x) = (T(x,y) \ x) * T(x,y). [para(1999(a,1),409(a,1,1)),flip(a)]. given #1866 (H,wt=28): 1446 (x * y) * T((x * y) \ (z * y),u) != y * w | T(x * T(x \ z,u),y) = w. [para(1416(a,2),172(a,2)),flip(a)]. given #1867 (H,wt=28): 1456 (x * y) * R((x * y) \ y,z,u) != y * w | T(x * R(x \ 1,z,u),y) = w. [para(1417(a,2),172(a,2)),flip(a)]. given #1868 (H,wt=28): 1484 x \ (y * (x * T(x \ (y \ z),u))) != w | T(y * T(y \ (z / x),u),x) = w. [para(1480(a,1),285(a,1,2))]. given #1869 (H,wt=28): 1493 (L(1 / x,x,y) * K(x \ 1,x)) * x = (x * ((y * x) \ y)) * K(x \ 1,x). [para(782(a,1),1490(a,1,1,1))]. given #1870 (H,wt=28): 1507 ((x \ y) * (y \ x)) * z != x \ y | T(1 / (y \ x),(x \ y) * (y \ x)) = z. [para(1505(a,1),172(a,2))]. given #1871 (H,wt=28): 1517 ((x / y) * (y / x)) * z != x / y | T(1 / (y / x),(x / y) * (y / x)) = z. [para(1512(a,1),172(a,2))]. given #1872 (H,wt=28): 1630 x * L(x \ T(y,x),z,u) != w * v5 | w \ T(x * L(x \ y,z,u),x) = v5. [para(1628(a,1),374(a,1,2))]. given #1873 (H,wt=28): 1636 (x * y) * L((x * y) \ y,z,u) != y * w | T(x * L(x \ 1,z,u),y) = w. [para(1624(a,2),172(a,2)),flip(a)]. given #1874 (H,wt=28): 1677 (x * R(y,z,u)) * T(y,x) != w * (x * R(y,z,u)) | R(y,x,R(y,z,u)) = w. [para(1674(a,2),476(a,1))]. given #1875 (H,wt=28): 1686 x * R(x \ T(y,x),z,u) != w * v5 | T(x * R(x \ y,z,u),x) / v5 = w. [para(1684(a,1),276(a,1,2))]. given #1876 (H,wt=28): 1687 x * R(x \ T(y,x),z,u) != w * v5 | w \ T(x * R(x \ y,z,u),x) = v5. [para(1684(a,1),374(a,1,2))]. given #1877 (H,wt=28): 1850 (x * (y * (1 / (x * y)))) \ K(x * y,(x * y) \ 1) = a(x,y,1 / (x * y)). [hyper(71,a,1841,a,b,89,a)]. given #1878 (H,wt=28): 1863 x * L(y,K(x,x \ 1),1 / (1 / x)) = (1 / (1 / x)) * (K(x,x \ 1) * y). [para(1847(a,1),100(a,1,1))]. given #1879 (H,wt=28): 1864 R(x,1 / (1 / y),K(y,y \ 1)) * y = (x * (1 / (1 / y))) * K(y,y \ 1). [para(1847(a,1),109(a,1,2))]. given #1880 (H,wt=28): 1865 R(x / (1 / (1 / y)),1 / (1 / y),K(y,y \ 1)) = (x * K(y,y \ 1)) / y. [para(1847(a,1),110(a,2,2))]. given #1881 (H,wt=28): 1873 (1 / x) / L(y,(x \ 1) / y,K(x,x \ 1)) = K(x,x \ 1) * ((x \ 1) / y). [para(1872(a,1),506(a,1,1))]. given #1882 (H,wt=28): 1974 (1 / ((x * (y \ 1)) * T(z,z \ 1))) \ (z \ y) = R(x,y \ 1,T(z,z \ 1)). [hyper(319,a,657,a)]. given #1883 (H,wt=24): 2004 (x \ (1 / (y * (z \ 1)))) \ (x \ z) = R(y,z \ 1,T(x,x \ 1)). [para(630(a,1),1974(a,1,1))]. given #1884 (H,wt=20): 2005 R(x,y \ 1,T(z,z \ 1)) = (z \ (y / x)) \ (z \ y). [para(259(a,1),2004(a,1,1,2)),flip(a)]. given #1885 (H,wt=28): 1998 (x * (((T(y,x) \ y) * x) \ x)) \ (x * x) = T(x,R(T(y,x),T(y,x) \ 1,x)). [para(1563(a,1),1996(a,1,1,2,1))]. given #1886 (H,wt=23): 2006 (x * (((T(y,x) \ y) * x) \ x)) \ (x * x) = (T(y,x) \ y) * x. [hyper(228,a,1563,a(flip),b,1998,a)]. given #1887 (H,wt=28): 2003 (x * (y * (1 / (x * y)))) \ K(x * y,y \ (x \ 1)) = a(x,y,1 / (x * y)). [para(118(a,1),1850(a,1,2,2))]. given #1888 (H,wt=28): 2007 K(x * y,y \ (x \ 1)) / a(x,y,1 / (x * y)) = x * (y * (1 / (x * y))). [para(2003(a,1),61(a,1,2))]. given #1889 (H,wt=29): 770 (T(x,x \ y) * z) \ (((x \ y) \ y) * (z * u)) != w | L(u,z,(x \ y) \ y) = w. [para(245(a,2),456(a,1,1))]. given #1890 (H,wt=20): 2010 L(x,y,T(z,z \ u)) != w | L(x,y,(z \ u) \ u) = w. [para(613(a,1),770(a,1))]. given #1891 (H,wt=29): 776 (x * (1 / y)) * K(y \ 1,y) != z * (y \ 1) | R(x,1 / y,K(y \ 1,y)) = z. [para(725(a,1),476(a,2,2))]. given #1892 (H,wt=29): 820 T((x * y) * z,(y * z) \ (R(x,y,z) \ 1)) = ((y * z) \ (R(x,y,z) \ 1)) \ 1. [para(109(a,1),764(a,1,1))]. given #1893 (H,wt=26): 2011 T((x * y) * z,z \ (y \ (x \ 1))) = ((y * z) \ (R(x,y,z) \ 1)) \ 1. [para(905(a,1),820(a,1,2))]. given #1894 (H,wt=23): 2012 T((x * y) * z,z \ (y \ (x \ 1))) = (z \ (y \ (x \ 1))) \ 1. [para(905(a,1),2011(a,2,1))]. given #1895 (H,wt=29): 856 (x * y) * R((y * T(x,y)) \ y,z,u) = y * (T(x,y) * R(T(x,y) \ 1,z,u)). [para(357(a,2),453(a,1,2))]. given #1896 (H,wt=27): 2013 x * (T(y,x) * R(T(y,x) \ 1,z,u)) = (y * x) * R((y * x) \ x,z,u). [para(113(a,1),856(a,1,2,1,1)),flip(a)]. given #1897 (H,wt=23): 2014 T(x,y) * R(T(x,y) \ 1,z,u) = T(x * R(x \ 1,z,u),y). [hyper(171,a,1417,a(flip),b,2013,a),flip(a)]. given #1898 (H,wt=29): 1009 L(T(x / ((1 / x) * x),y),z,u) / x = L(T(1 / (1 / x),y),z,u) * (1 / x). [para(363(a,2),523(a,1,1,1))]. given #1899 (H,wt=23): 2015 L(T(1 / (1 / x),y),z,u) * (1 / x) = L(T(x,y),z,u) / x. [para(128(a,1),1009(a,1,1,1,1)),flip(a)]. given #1900 (H,wt=23): 2016 (1 / x) * L(T((1 / x) \ 1,y),z,u) = L(T(x,y),z,u) / x. [hyper(1035,a,2015,a)]. given #1901 (H,wt=19): 2017 (1 / x) * L(T(x,y),z,u) = L(T(x,y),z,u) / x. [para(64(a,1),2016(a,1,2,1,1))]. given #1902 (H,wt=29): 1046 T(x,x \ y) \ R(T(z,z \ u),w,v5) = ((x \ y) \ y) \ R((z \ u) \ u,w,v5). [hyper(71,a,1045,a(flip),b,312,a),flip(a)]. given #1903 (H,wt=29): 1229 R(x,y,z) \ T(R(x,y,z) * (R(x,y,z) \ x),u) = T(x,u) * (R(x,y,z) \ 1). [para(1225(a,1),917(a,1,2,1,2))]. given #1904 (H,wt=19): 2018 T(x,y) * (R(x,z,u) \ 1) = R(x,z,u) \ T(x,y). [para(14(a,1),1229(a,1,2,1)),flip(a)]. given #1905 (H,wt=25): 2019 R(x / y,z,u) \ T(x / y,y) = (y \ x) * (R(x / y,z,u) \ 1). [para(115(a,1),2018(a,1,1)),flip(a)]. given #1906 (H,wt=23): 2020 (x \ y) * (R(y / x,z,u) \ 1) = R(y / x,z,u) \ (x \ y). [para(115(a,1),2019(a,1,2)),flip(a)]. given #1907 (H,wt=27): 2021 R((x * y) / x,z,u) \ (x \ (x * y)) = y * (R((x * y) / x,z,u) \ 1). [para(13(a,1),2020(a,1,1)),flip(a)]. given #1908 (H,wt=23): 2022 x * (R((y * x) / y,z,u) \ 1) = R((y * x) / y,z,u) \ x. [para(13(a,1),2021(a,1,2)),flip(a)]. given #1909 (H,wt=29): 1406 (((x / y) * T(y,z)) / (x / y)) \ T(y,z) = T(y,z) * (T(x / (x / y),z) \ 1). [para(422(a,1),1405(a,1,2,1)),flip(a)]. given #1910 (H,wt=25): 2023 T(x,y) * (T(z / (z / x),y) \ 1) = T(z / (z / x),y) \ T(x,y). [para(422(a,1),1406(a,1,1)),flip(a)]. given #1911 (H,wt=29): 1466 T(x,y) * T((y \ (x * y)) \ (y \ z),u) = y \ ((x * y) * T((x * y) \ z,u)). [para(32(a,2),1439(a,1,1))]. given #1912 (H,wt=27): 2024 x \ ((y * x) * T((y * x) \ z,u)) = T(y,x) * T(T(y,x) \ (x \ z),u). [para(32(a,2),1466(a,1,2,1,1)),flip(a)]. given #1913 (H,wt=27): 2025 x \ (y * (x * T(x \ (y \ z),u))) = T(y,x) * T(T(y,x) \ (x \ z),u). [para(852(a,1),2024(a,1,2))]. given #1914 (H,wt=25): 2026 T(x,y) * T(T(x,y) \ (y \ z),u) = T(x * T(x \ (z / y),u),y). [hyper(1484,a,2025,a),flip(a)]. given #1915 (H,wt=25): 2027 T(x * T(x \ ((y * z) / y),u),y) = T(x,y) * T(T(x,y) \ z,u). [para(13(a,1),2026(a,1,2,1,2)),flip(a)]. given #1916 (H,wt=23): 2028 T(x,y) * T(T(x,y) \ T(z,y),u) = T(x * T(x \ z,u),y). [para(166(a,1),2027(a,1,1,2,1,2)),flip(a)]. given #1917 (H,wt=21): 2029 T(x,y) * T(T(x,y) \ 1,z) = T(x * T(x \ 1,z),y). [para(146(a,1),2028(a,1,2,1,2))]. given #1918 (H,wt=19): 2030 T(x * T(x \ 1,y),z) = K(y \ (y / T(x,z)),y). [hyper(938,a,2029,a),flip(a)]. given #1919 (H,wt=17): 2033 K(x \ (x / T(x,y)),x) = T(K(x \ 1,x),y). [para(269(a,1),2030(a,1,1)),flip(a)]. given #1920 (H,wt=19): 2032 T(x * T(x \ 1,y),x \ y) = K(y \ (x \ y),y). [para(199(a,1),2030(a,2,1,2))]. given #1921 (H,wt=20): 2034 K(x \ (x / T(L(y \ 1,y,x),z)),x) = T(K(y,x),z). [para(1039(a,2),2030(a,1,1)),flip(a)]. given #1922 (H,wt=19): 2036 K(x \ (x / T(y \ x,z)),x) = T(K(x \ y,x),z). [para(351(a,1),2034(a,1,1,2,2,1))]. given #1923 (H,wt=21): 2031 (x * T(x \ 1,y)) * z = z * K(y \ (y / T(x,z)),y). [para(2030(a,1),113(a,1,2)),flip(a)]. given #1924 (H,wt=25): 2037 T(K(x \ y,x),(y \ x) \ z) = K(x \ (x / (((y \ x) \ z) \ z)),x). [para(114(a,1),2036(a,1,1,2,2)),flip(a)]. given #1925 (H,wt=29): 1500 (x * y) * L((x * y) \ (y * z),u,w) = y * (T(x,y) * L(T(x,y) \ z,u,w)). [para(465(a,1),855(a,1,2,1))]. given #1926 (H,wt=23): 2039 T(x,y) * L(T(x,y) \ y,z,u) = T(x * L(x \ y,z,u),y). [hyper(171,a,1594,a(flip),b,1500,a(flip)),flip(a)]. given #1927 (H,wt=27): 2038 T(x * L(x \ ((y * z) / y),u,w),y) = T(x,y) * L(T(x,y) \ z,u,w). [hyper(171,a,1595,a,b,1500,a(flip))]. given #1928 (H,wt=27): 2040 x * (T(y,x) * L(T(y,x) \ 1,z,u)) = (y * x) * L((y * x) \ x,z,u). [para(12(a,1),1500(a,1,2,1,2)),flip(a)]. given #1929 (H,wt=23): 2041 T(x,y) * L(T(x,y) \ 1,z,u) = T(x * L(x \ 1,z,u),y). [hyper(171,a,1624,a(flip),b,2040,a),flip(a)]. given #1930 (H,wt=23): 2042 T(x,y) \ T(x * L(x \ 1,z,u),y) = L(T(x,y) \ 1,z,u). [hyper(77,a,2041,a)]. given #1931 (H,wt=24): 2043 T(x * L(x \ 1,T(x,y),z),y) = T(x,y) * ((z * T(x,y)) \ z). [hyper(228,a,353,a(flip),b,2041,a(flip))]. given #1932 (H,wt=26): 2044 T(x,y) * L(T(x,y) \ 1,z,u) != w | T(x * L(x \ 1,z,u),y) = w. [para(2042(a,1),213(a,1,2)),flip(b)]. given #1933 (H,wt=28): 2045 T(x \ y,z) \ T((x \ y) * (y \ x),z) = L(T(x \ y,z) \ 1,x \ y,x). [para(351(a,1),2042(a,1,2,1,2))]. given #1934 (H,wt=28): 2046 T(x * L(x \ 1,T(x,y),1 / x),y) = T(x,y) * ((T(x,y) / x) \ (1 / x)). [para(957(a,1),2043(a,2,2,1))]. given #1935 (H,wt=23): 2047 T(x,y) * ((T(x,y) / x) \ (1 / x)) = T(K(T(x,y),1 / x),y). [para(1979(a,1),2046(a,1,1)),flip(a)]. given #1936 (H,wt=29): 1544 ((x * y) * L(y,z,u)) \ (y * (x * L(y,z,u))) != w | K(y,x * L(y,z,u)) = w. [para(1537(a,1),286(a,1,1))]. given #1937 (H,wt=29): 1659 (x \ (y * z)) * R((x \ (y * z)) \ z,u,w) = x \ ((y * R(y \ x,u,w)) * z). [hyper(71,a,1596,a(flip),b,1242,a),flip(a)]. given #1938 (H,wt=29): 1690 (1 / x) * ((1 / x) * ((y * ((1 / x) \ 1)) / y)) = (((y * x) / y) / x) * (1 / x). [para(1442(a,1),1688(a,1,1)),flip(a)]. given #1939 (H,wt=23): 2049 (((x * y) / x) / y) * (1 / y) = (1 / y) * (((x * y) / x) / y). [para(1442(a,1),1690(a,1,2)),flip(a)]. given #1940 (H,wt=23): 2050 ((1 / x) * (((y * x) / y) / x)) / (1 / x) = ((y * x) / y) / x. [hyper(85,a,2049,a)]. given #1941 (H,wt=26): 2051 R(((x * y) / x) / y,y,x) = ((1 / y) * ((x * y) / (y * x))) / (1 / y). [para(2050(a,1),830(a,1,1))]. given #1942 (H,wt=23): 2052 ((1 / x) * ((y * x) / (x * y))) / (1 / x) = (y * x) / (x * y). [hyper(228,a,226,a(flip),b,2051,a(flip))]. given #1943 (H,wt=27): 2053 T((x * y) / (y * x),y * x) = ((1 / y) * ((y * x) \ (x * y))) / (1 / y). [para(2052(a,1),653(a,1,1))]. given #1944 (H,wt=23): 2054 ((1 / x) * ((x * y) \ (y * x))) / (1 / x) = (x * y) \ (y * x). [hyper(647,a,2053,a),flip(a)]. given #1945 (H,wt=19): 2055 K(x,y) = ((1 / y) * ((y * x) \ (x * y))) / (1 / y). [hyper(228,a,26,a,b,2054,a),flip(a)]. given #1946 (H,wt=15): 2056 ((1 / x) * K(y,x)) / (1 / x) = K(y,x). [para(26(a,2),2055(a,2,1,2)),flip(a)]. given #1947 (H,wt=15): 2057 K(x,y) * (1 / y) = (1 / y) * K(x,y). [para(2056(a,1),16(a,1,1))]. given #1948 (H,wt=9): 2061 K(1 / x,K(y,x)) = 1. [hyper(70,a,2057,a,b,93,a),flip(a)]. given #1949 (H,wt=9): 2062 K(x,K(y,x \ 1)) = 1. [para(61(a,1),2061(a,1,1))]. given #1950 (H,wt=9): 2063 T(x,K(y,x \ 1)) = x. [hyper(37,a,2062,a)]. given #1951 (H,wt=11): 2060 T(1 / x,K(y,x)) = 1 / x. [hyper(172,a,2057,a)]. given #1952 (H,wt=13): 2059 K(x,1 / x) * (1 / (1 / x)) = x. [hyper(228,a,812,a(flip),b,2057,a)]. given #1953 (H,wt=12): 2065 L(x,1 / x,x) = 1 / (1 / x). [hyper(581,a,2059,a)]. given #1954 (H,wt=13): 2066 K(x,x \ 1) * (1 / (1 / x)) = x. [para(1839(a,1),2059(a,1,1))]. given #1955 (H,wt=13): 2068 K(x,x \ 1) \ x = 1 / (1 / x). [hyper(77,a,2066,a)]. given #1956 (H,wt=15): 2058 (K(x,y) * (1 / y)) / K(x,y) = 1 / y. [para(2056(a,1),67(a,1,1,1))]. given #1957 (H,wt=16): 2067 L(T(x,y),1 / x,x) = T(1 / (1 / x),y). [para(2065(a,1),40(a,2,1))]. given #1958 (H,wt=21): 2064 L(x,y,z) * K(u,x \ 1) = K(u,x \ 1) * L(x,y,z). [para(2063(a,1),183(a,1,2,1)),flip(a)]. given #1959 (H,wt=21): 2071 R(1 / x,y,z) \ (K(u,x) * R(1 / x,y,z)) = K(u,x). [para(2058(a,1),793(a,1,1,1))]. given #1960 (H,wt=14): 2074 T(K(x,y),R(1 / y,z,u)) = K(x,y). [hyper(285,a,2071,a)]. given #1961 (H,wt=11): 2075 T(K(x,y),y \ 1) = K(x,y). [para(360(a,1),2074(a,1,2))]. given #1962 (H,wt=11): 2076 T(x \ 1,K(y,x)) = x \ 1. [hyper(35,a,2075,a)]. given #1963 (H,wt=16): 2077 T((x * y) \ x,K(z,y)) = L(y \ 1,y,x). [para(2076(a,1),356(a,2,1))]. given #1964 (H,wt=20): 2078 T(x \ y,K(z,y \ x)) = L((y \ x) \ 1,y \ x,y). [para(14(a,1),2077(a,1,1,1))]. given #1965 (H,wt=13): 2079 T(x \ y,K(z,y \ x)) = x \ y. [hyper(228,a,351,a(flip),b,2078,a)]. given #1966 (H,wt=19): 2080 K(x,y \ z) * (z \ y) = (z \ y) * K(x,y \ z). [para(2079(a,1),113(a,1,2))]. given #1967 (H,wt=21): 2072 K(x,1 / x) \ (x * (T(x,y) / x)) = T(1 / (1 / x),y). [hyper(228,a,982,a,b,2067,a(flip)),flip(a)]. given #1968 (H,wt=21): 2073 K(x,x \ 1) * L(x,y,z) = x * (L(x,y,z) * (1 / x)). [hyper(228,a,1856,a(flip),b,2064,a(flip))]. given #1969 (H,wt=21): 2081 K(x,1 / x) * T(1 / (1 / x),y) = x * (T(x,y) / x). [para(2072(a,1),14(a,1,2))]. given #1970 (H,wt=21): 2082 K(x,x \ 1) * (x \ L(x,y,z)) = L(x,y,z) * (1 / x). [hyper(1933,a,2073,a)]. given #1971 (H,wt=21): 2083 K(x,x \ 1) * T(1 / (1 / x),y) = x * (T(x,y) / x). [para(1839(a,1),2081(a,1,1))]. given #1972 (H,wt=23): 2085 K(x,x \ 1) * T(K(x,x \ 1) \ x,y) = x * (T(x,y) / x). [para(2068(a,2),2083(a,1,2,1))]. given #1973 (H,wt=27): 2086 (x * (T(x,y) / x)) * (K(x,x \ 1) \ 1) = T(x * (K(x,x \ 1) \ 1),y). [para(2085(a,1),955(a,1,1))]. given #1974 (H,wt=25): 2087 (x * (T(x,y) / x)) * K(x \ 1,x) = T(x * (K(x,x \ 1) \ 1),y). [para(1886(a,1),2086(a,1,2))]. given #1975 (H,wt=23): 2088 (x * (T(x,y) / x)) * K(x \ 1,x) = T(x * K(x \ 1,x),y). [para(1886(a,1),2087(a,2,1,2))]. given #1976 (H,wt=21): 2089 (x * (T(x,y) / x)) * K(x \ 1,x) = T(1 / (1 / x),y). [para(1809(a,1),2088(a,2,1))]. given #1977 (H,wt=24): 2090 T(1 / (1 / x),y) != z * K(x \ 1,x) | x * (T(x,y) / x) = z. [para(2089(a,1),20(a,1))]. given #1978 (H,wt=28): 2069 x * L(y,1 / (1 / x),K(x,x \ 1)) = K(x,x \ 1) * ((1 / (1 / x)) * y). [para(2066(a,1),100(a,1,1))]. given #1979 (H,wt=28): 2070 L((1 / (1 / x)) \ y,1 / (1 / x),K(x,x \ 1)) = x \ (K(x,x \ 1) * y). [para(2066(a,1),102(a,2,1))]. given #1980 (H,wt=29): 1705 (x \ 1) * ((y * ((x \ 1) \ K(x \ 1,x))) / y) = ((y * x) / y) / ((x \ 1) \ 1). [para(1202(a,1),1704(a,1,1,1,2)),flip(a)]. given #1981 (H,wt=21): 2091 ((x * y) / x) / ((y \ 1) \ 1) = (y \ 1) * ((x * y) / x). [para(271(a,1),1705(a,1,2,1,2)),flip(a)]. given #1982 (H,wt=23): 2092 (T(x,y) \ 1) * ((y * T(x,y)) / y) = x / ((T(x,y) \ 1) \ 1). [para(166(a,1),2091(a,1,1)),flip(a)]. given #1983 (H,wt=17): 2093 x / ((T(x,y) \ 1) \ 1) = (T(x,y) \ 1) * x. [para(166(a,1),2092(a,1,2)),flip(a)]. given #1984 (H,wt=25): 2094 (T(x,y) \ 1) \ ((T(x,y) \ x) / x) = K(x,((T(x,y) \ 1) * x) / x). [para(2093(a,1),1610(a,1,2,1)),flip(a)]. given #1985 (H,wt=21): 2095 (T(x,y) \ 1) \ ((T(x,y) \ x) / x) = K(x,T(x,y) \ 1). [para(15(a,1),2094(a,2,2))]. given #1986 (H,wt=21): 2096 (T(x,y) \ 1) * K(x,T(x,y) \ 1) = (T(x,y) \ x) / x. [para(2095(a,1),14(a,1,2))]. given #1987 (H,wt=24): 2098 (T(x,y) \ x) / x != (T(x,y) \ 1) * z | K(x,T(x,y) \ 1) = z. [para(2096(a,1),19(a,1))]. given #1988 (H,wt=29): 1725 x * ((x * y) * ((z * ((x * y) \ y)) / z)) = (x * ((z * (x \ 1)) / z)) * (x * y). [hyper(228,a,1597,a(flip),b,1248,a(flip))]. given #1989 (H,wt=27): 2099 (x * ((y * (x \ 1)) / y)) * (x * z) = x * ((x * ((y * (x \ 1)) / y)) * z). [para(1597(a,1),1725(a,1,2)),flip(a)]. given #1990 (H,wt=25): 2100 K(x,(x / y) / x) * (y * z) = y * ((y * ((x * (y \ 1)) / x)) * z). [para(1602(a,2),2099(a,1,1))]. given #1991 (H,wt=29): 1781 T(x,x * y) * R(T(x,x * y) \ (x * y),z,u) = T(x * R(y,z,u),x * y). [para(13(a,1),1780(a,2,1,2,1))]. given #1992 (H,wt=29): 1812 (x \ 1) \ (K(x \ 1,x) * y) != z | L((1 / x) \ y,1 / x,K(x \ 1,x)) = z. [para(1806(a,1),568(a,1,1))]. given #1993 (H,wt=29): 1882 K(((x * y) \ x) \ (((x * y) \ x) * y),(x * y) \ x) * y = T(y,(x * y) \ x). [para(1793(a,1),966(a,2,1,1,2)),flip(a)]. given #1994 (H,wt=17): 2101 K(x,(y * x) \ y) * x = T(x,(y * x) \ y). [para(13(a,1),1882(a,1,1,1))]. given #1995 (H,wt=19): 2102 x \ T(x,(y * x) \ y) = T(K(x,(y * x) \ y),x). [hyper(171,a,2101,a,b,14,a),flip(a)]. given #1996 (H,wt=22): 2103 T(x,(y * x) \ y) != x * z | T(K(x,(y * x) \ y),x) = z. [para(2101(a,1),172(a,2)),flip(a)]. given #1997 (H,wt=30): 771 (x * (y * (z * u))) \ (x * ((y * z) * u)) != w | L(a(y,z,u),y * (z * u),x) = w. [para(89(a,1),456(a,1,2,2))]. given #1998 (H,wt=30): 865 ((x * R(y / z,z,u)) / x) * (z * u) = (z * u) * ((x * ((z * u) \ (y * u))) / x). [para(499(a,1),652(a,1,2,1,2)),flip(a)]. given #1999 (H,wt=27): 2105 (x * y) * ((z * ((x * y) \ (u * y))) / z) = (((z * (u / x)) / z) * x) * y. [hyper(834,a,865,a),flip(a)]. given #2000 (H,wt=27): 2106 (((x * ((y / z) / u)) / x) * u) * z = (u * z) * ((x * ((u * z) \ y)) / x). [para(16(a,1),2105(a,1,2,1,2,2)),flip(a)]. given #2001 (H,wt=23): 2108 (x * y) * ((x * ((x * y) \ z)) / x) = (x * ((z / y) / x)) * y. [hyper(300,a,2106,a),flip(a)]. given #2002 (H,wt=17): 2110 (x * ((x / y) / x)) * y = T(x,x / (x * y)). [hyper(1114,a,2108,a),flip(a)]. given #2003 (H,wt=19): 2112 x \ T(y,y / (y * x)) = T(y * ((y / x) / y),x). [hyper(171,a,2110,a,b,14,a),flip(a)]. given #2004 (H,wt=22): 2113 T(x,x / (x * y)) != y * z | T(x * ((x / y) / x),y) = z. [para(2110(a,1),172(a,2)),flip(a)]. given #2005 (H,wt=23): 2111 x * (y * ((x * (y \ (x \ z))) / x)) = (x * ((z / y) / x)) * y. [hyper(228,a,1249,a(flip),b,2108,a(flip)),flip(a)]. given #2006 (H,wt=26): 2109 (x * y) * ((x * ((x * y) \ z)) / x) != u | (x * ((z / y) / x)) * y = u. [para(2106(a,1),300(a,1))]. given #2007 (H,wt=20): 2116 T(x,x / (x * y)) != z | (x * ((x / y) / x)) * y = z. [para(1098(a,1),2109(a,1))]. given #2008 (H,wt=26): 2117 x * (y * ((x * (y \ (x \ z))) / x)) != u | (x * ((z / y) / x)) * y = u. [para(1249(a,1),2109(a,1))]. given #2009 (H,wt=27): 2107 (x * y) * ((z * ((x * y) \ (u * y))) / z) = (x * ((z * (x \ u)) / z)) * y. [para(805(a,1),2105(a,2,1))]. given #2010 (H,wt=29): 2118 ((x * y) * ((z * ((x * y) \ x)) / z)) * y = (x * y) * (y * ((z * (y \ 1)) / z)). [hyper(1033,a,2107,a),flip(a)]. given #2011 (H,wt=29): 2120 (x \ (y * x)) * ((z * ((x \ (y * x)) \ x)) / z) = T(y * ((z * (y \ x)) / z),x). [hyper(171,a,2107,a(flip),b,1499,a),flip(a)]. given #2012 (H,wt=27): 2122 T(x,y) * ((z * ((y \ (x * y)) \ y)) / z) = T(x * ((z * (x \ y)) / z),y). [para(32(a,2),2120(a,1,1))]. given #2013 (H,wt=25): 2123 T(x,y) * ((z * (T(x,y) \ y)) / z) = T(x * ((z * (x \ y)) / z),y). [para(32(a,2),2122(a,1,2,1,2,1))]. given #2014 (H,wt=30): 1005 L(x \ 1,x,y) \ ((x \ 1) * (x * ((y * x) \ y))) = K(x \ 1,x * ((y * x) \ y)). [para(1002(a,1),26(a,2,1)),flip(a)]. given #2015 (H,wt=30): 1022 L(L(T(x \ 1,x),x,y),y * x,1 / (y * x)) = R((1 / (y * x)) * y,x,x \ 1). [para(841(a,1),570(a,1,1))]. given #2016 (H,wt=22): 2125 R((1 / (x * y)) * x,y,y \ 1) = T((1 / (x * y)) * x,y). [hyper(228,a,878,a(flip),b,1022,a(flip))]. given #2017 (H,wt=22): 2126 a(1 / (x * y),x,y) \ T((1 / (x * y)) * x,y) = y \ 1. [para(2125(a,1),838(a,1,2))]. given #2018 (H,wt=30): 1042 (x * y) * T((x * y) \ (x * z),u) != w * v5 | (x * (y * T(y \ z,u))) / v5 = w. [para(464(a,2),531(a,1,2))]. given #2019 (H,wt=30): 1043 (x * y) * T((x * y) \ z,u) != w * v5 | (x * (y * T(y \ (x \ z),u))) / v5 = w. [para(526(a,1),531(a,1,2))]. given #2020 (H,wt=30): 1250 (x * y) * ((z * ((x * y) \ (x * u))) / z) != w | x * (y * ((z * (y \ u)) / z)) = w. [para(823(a,1),218(a,1,2))]. given #2021 (H,wt=30): 1251 (x * y) * ((z * ((x * y) \ u)) / z) != w | x * (y * ((z * (y \ (x \ u))) / z)) = w. [para(824(a,1),218(a,1,2))]. given #2022 (H,wt=30): 1342 (L(x,1 / x,y) * y) / L(x,1 / x,y) = (y * (1 / x)) * T(L(x,1 / x,y),y). [para(388(a,1),1334(a,1,1)),flip(a)]. given #2023 (H,wt=25): 2127 (L(x,1 / x,y) * y) / L(x,1 / x,y) = y * ((1 / x) * T(x,y)). [hyper(228,a,450,a(flip),b,1342,a)]. given #2024 (H,wt=23): 2128 (L(x,1 / x,y) * y) / L(x,1 / x,y) = y * (T(x,y) / x). [para(957(a,1),2127(a,2,2))]. given #2025 (H,wt=30): 1465 T(x \ 1,R(x,y,z)) \ T((x \ 1) * R(x,y,z),x \ 1) = T(R(x,y,z),x \ 1). [para(1464(a,1),1235(a,1,1))]. given #2026 (H,wt=30): 1481 ((x * y) * T((x * y) \ x,z)) * u = (x * y) * (u * T(u \ L(y \ u,y,x),z)). [para(102(a,2),1443(a,1,2,2,1,2)),flip(a)]. given #2027 (H,wt=28): 2130 (x * y) * (z * T(z \ L(y \ z,y,x),u)) = (x * (y * T(y \ 1,u))) * z. [para(692(a,1),1481(a,1,1)),flip(a)]. given #2028 (H,wt=26): 2131 (x * y) * ((z \ L(y \ z,y,x)) * z) = (x * (y * T(y \ 1,z))) * z. [para(113(a,1),2130(a,1,2))]. given #2029 (H,wt=30): 1625 (x * y) * L((x * y) \ (z * y),u,w) != y * v5 | T(x * L(x \ z,u,w),y) = v5. [para(1594(a,2),172(a,2)),flip(a)]. given #2030 (H,wt=30): 1655 (x * y) * L((x * y) \ z,u,w) != y * v5 | T(x * L(x \ (z / y),u,w),y) = v5. [para(1595(a,1),172(a,2)),flip(a)]. given #2031 (H,wt=30): 1661 (x * y) * R((x * y) \ (z * y),u,w) != y * v5 | T(x * R(x \ z,u,w),y) = v5. [para(1596(a,2),172(a,2)),flip(a)]. given #2032 (H,wt=30): 1689 (x * y) * ((z * ((x * y) \ y)) / z) != y * u | T(x * ((z * (x \ 1)) / z),y) = u. [para(1597(a,2),172(a,2)),flip(a)]. given #2033 (H,wt=30): 1880 (x * x) * L((x * x) \ (1 / (1 / x)),y,z) = L(R(x \ 1,x,x),y,z) * (x * x). [para(1826(a,1),588(a,1,1,1)),flip(a)]. given #2034 (H,wt=27): 2132 (x * x) * L((x * x) \ (1 / (1 / x)),y,z) = (L(x \ 1,y,z) * x) * x. [hyper(228,a,482,a(flip),b,1880,a)]. given #2035 (H,wt=27): 2133 x * (x * L(x \ (x \ (1 / (1 / x))),y,z)) = (L(x \ 1,y,z) * x) * x. [hyper(1019,a,2132,a)]. given #2036 (H,wt=25): 2134 x * (x * L(x \ K(x \ 1,x),y,z)) = (L(x \ 1,y,z) * x) * x. [para(1805(a,1),2133(a,1,2,2,1,2))]. given #2037 (H,wt=23): 2135 x * (x * L(T(x \ 1,x),y,z)) = (L(x \ 1,y,z) * x) * x. [para(273(a,1),2134(a,1,2,2,1))]. given #2038 (H,wt=21): 2136 (L(x \ 1,y,z) * x) * x = x * (L(x \ 1,y,z) * x). [para(183(a,1),2135(a,1,2)),flip(a)]. given #2039 (H,wt=12): 2137 T(x,L(x \ 1,y,z) * x) = x. [hyper(172,a,2136,a)]. given #2040 (H,wt=15): 2138 T(x \ y,(y \ x) * (x \ y)) = x \ y. [para(351(a,1),2137(a,1,2,1))]. given #2041 (H,wt=19): 2139 T(x \ (x / y),y * (x \ (x / y))) = x \ (x / y). [para(64(a,1),2138(a,1,2,1))]. given #2042 (H,wt=20): 2140 R(x \ (x / y),y,x \ (x / y)) = T(x \ (x / y),y). [para(2139(a,1),738(a,1,1))]. given #2043 (H,wt=29): 2141 T(x \ (x / y),y) \ T((x \ (x / y)) * y,x \ (x / y)) = T(y,x \ (x / y)). [para(2140(a,1),1235(a,1,1))]. given #2044 (H,wt=23): 2142 T(x \ (x / y),y) \ ((x \ (x / y)) * y) = T(y,x \ (x / y)). [para(1648(a,1),2141(a,1,2))]. given #2045 (H,wt=17): 2143 T(x,T(y \ (y / x),x)) = T(x,y \ (y / x)). [hyper(382,a,2142,a)]. given #2046 (H,wt=26): 2144 T(x,R(x,y,z) \ (R(x,y,z) / x)) = T(x,T(T(1 / x,R(x,y,z)),x)). [para(1668(a,1),2143(a,1,2,1)),flip(a)]. given #2047 (H,wt=24): 2145 T(x,R(x,y,z) \ (R(x,y,z) / x)) = T(x,T(x \ 1,R(x,y,z))). [para(185(a,1),2144(a,2,2))]. given #2048 (H,wt=21): 2146 T(x,T(1 / x,R(x,y,z))) = T(x,T(x \ 1,R(x,y,z))). [para(1668(a,1),2145(a,1,2))]. given #2049 (H,wt=30): 1973 K(1 / x,(1 / x) \ 1) * L(y,x,1 / x) = (1 / x) * (K(x \ 1,x) * (x * y)). [para(395(a,1),1936(a,1,2,2)),flip(a)]. given #2050 (H,wt=30): 2001 T(((T(x,y) \ x) * x) / (T(x,y) \ x),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). [para(1997(a,2),683(a,1,2))]. given #2051 (H,wt=28): 2148 T(T(x,y) * T(T(x,y) \ x,x),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). [para(1336(a,1),2001(a,1,1))]. given #2052 (H,wt=27): 2149 T(L(x,T(x,y) \ x,T(x,y)),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). [para(1078(a,1),2148(a,1,1))]. given #2053 (H,wt=27): 2150 T(L(x,T(x,y) \ x,T(x,y)),x * (T(x,y) \ x)) = L(x,T(x,y) \ x,x). [para(1997(a,1),2149(a,1,2))]. given #2054 (H,wt=27): 2151 L(T(x,x * (T(x,y) \ x)),T(x,y) \ x,T(x,y)) = L(x,T(x,y) \ x,x). [hyper(228,a,40,a,b,2150,a(flip)),flip(a)]. given #2055 (H,wt=19): 2152 L(x,T(x,y) \ x,T(x,y)) = L(x,T(x,y) \ x,x). [para(1994(a,1),2151(a,1,1))]. given #2056 (H,wt=20): 2153 T(x,y) * T(T(x,y) \ x,x) = L(x,T(x,y) \ x,x). [hyper(228,a,1078,a,b,2152,a(flip)),flip(a)]. given #2057 (H,wt=18): 2155 L(x,T(x,y) \ x,x) = (T(x,y) \ x) * T(x,y). [hyper(228,a,2002,a(flip),b,2153,a(flip))]. given #2058 (H,wt=20): 2154 x * L(y,T(y,x) \ y,y) = (y * x) * T(K(x,y),y). [para(2152(a,1),1728(a,1,2))]. given #2059 (H,wt=30): 2124 (x \ 1) * (L(x \ 1,x,y) \ (x * ((y * x) \ y))) = K(x \ 1,x * ((y * x) \ y)). [hyper(228,a,1363,a(flip),b,1005,a(flip)),flip(a)]. given #2060 (H,wt=23): 2156 K(x \ 1,x * ((y * x) \ y)) = (x \ 1) * T(x,(y * x) \ y). [para(700(a,1),2124(a,1,2)),flip(a)]. given #2061 (H,wt=25): 2157 T(1 / (1 / x),(y * x) \ y) / K(x \ 1,x * ((y * x) \ y)) = x. [para(2156(a,2),1879(a,1,2))]. given #2062 (H,wt=30): 2147 K(1 / x,(1 / x) \ 1) * L(y,x,1 / x) = (1 / x) * (x * (K(x \ 1,x) * y)). [para(1305(a,1),1973(a,2,2))]. given #2063 (H,wt=29): 2158 K(1 / x,(1 / x) \ 1) * L(y,x,1 / x) = L(K(x \ 1,x) * y,x,1 / x). [hyper(228,a,193,a(flip),b,2147,a)]. given #2064 (H,wt=25): 2159 L(K(x \ 1,x) * y,x,1 / x) = K(x \ 1,x) * L(y,x,1 / x). [para(1884(a,1),2158(a,1,1)),flip(a)]. given #2065 (H,wt=31): 988 K(x \ 1,x) * T(((x \ 1) * x) \ y,z) = (x \ 1) * (x * T(x \ ((x \ 1) \ y),z)). [para(526(a,1),455(a,1,2))]. given #2066 (H,wt=31): 1297 (x \ 1) * (T(x \ R(x,y,z),x \ 1) / (x \ 1)) = T((x \ 1) * R(x,y,z),x \ 1). [para(1147(a,1),1292(a,1,2,1,1))]. given #2067 (H,wt=27): 2162 (x \ 1) * ((x \ R(x,y,z)) / (x \ 1)) = T((x \ 1) * R(x,y,z),x \ 1). [para(1462(a,1),1297(a,1,2,1))]. given #2068 (H,wt=21): 2163 T((x \ 1) * R(x,y,z),x \ 1) = (x \ 1) * R(x,y,z). [para(1148(a,1),2162(a,1,2)),flip(a)]. given #2069 (H,wt=26): 2164 T(x \ 1,R(x,y,z)) \ ((x \ 1) * R(x,y,z)) = T(R(x,y,z),x \ 1). [para(2163(a,1),1465(a,1,2))]. given #2070 (H,wt=22): 2165 T(R(x,y,z),T(x \ 1,R(x,y,z))) = T(R(x,y,z),x \ 1). [hyper(382,a,2164,a)]. given #2071 (H,wt=22): 2166 R(T(x,T(x \ 1,R(x,y,z))),y,z) = T(R(x,y,z),x \ 1). [hyper(228,a,42,a,b,2165,a(flip)),flip(a)]. given #2072 (H,wt=22): 2167 R(T(x,T(x \ 1,R(x,y,z))),y,z) = R(T(x,x \ 1),y,z). [hyper(228,a,42,a,b,2166,a)]. given #2073 (H,wt=22): 2168 R(T(x,T(1 / x,R(x,y,z))),y,z) = R(T(x,x \ 1),y,z). [para(2146(a,2),2167(a,1,1))]. given #2074 (H,wt=31): 1467 (x * (y * T(y \ (x \ (z * u)),w))) / u = ((x * y) / u) * T(((x * y) / u) \ z,w). [hyper(72,a,852,a(flip),b,1440,a)]. given #2075 (H,wt=29): 2169 ((x * y) / x) * T(((x * y) / x) \ z,u) = (x * (y * T(y \ T(z,x),u))) / x. [para(32(a,2),1467(a,1,1,2,2,1,2)),flip(a)]. given #2076 (H,wt=31): 1478 T(x * ((1 / x) * ((1 / x) \ (x \ (y * (1 / x))))),x) = (x * T(x \ y,x)) * (1 / x). [hyper(228,a,1296,a,b,1443,a(flip)),flip(a)]. given #2077 (H,wt=19): 2170 (x * T(x \ y,x)) * (1 / x) = T(y * (1 / x),x). [para(57(a,1),1478(a,1,1)),flip(a)]. given #2078 (H,wt=17): 2171 ((x \ y) * x) * (1 / x) = T(y * (1 / x),x). [para(113(a,1),2170(a,1,1))]. given #2079 (H,wt=17): 2173 T((x * y) * (1 / x),x) = (y * x) * (1 / x). [para(13(a,1),2171(a,1,1,1)),flip(a)]. given #2080 (H,wt=20): 2174 T(x * (1 / y),y) != z * (1 / y) | (y \ x) * y = z. [para(2171(a,1),20(a,1))]. given #2081 (H,wt=20): 2175 T((x * y) * (1 / x),x) != z * (1 / x) | y * x = z. [para(2173(a,2),20(a,1))]. given #2082 (H,wt=31): 1649 T(T(x,y) * ((T(x,y) / x) \ (1 / x)),T(x,y)) = T(x,y) * ((T(x,y) / x) \ (1 / x)). [hyper(35,a,1641,a)]. given #2083 (H,wt=31): 1778 (x \ 1) * (((x \ 1) * L((x \ 1) \ 1,y,z)) * u) = (x \ L(x,y,z)) * ((x \ 1) * u). [para(1127(a,1),1777(a,1,1)),flip(a)]. given #2084 (H,wt=25): 2177 (x \ L(x,y,z)) * ((x \ 1) * u) = (x \ 1) * ((x \ L(x,y,z)) * u). [para(1127(a,1),1778(a,1,2,1)),flip(a)]. given #2085 (H,wt=23): 2178 (x \ 1) * ((x \ L(x,y,z)) \ 1) = (x \ L(x,y,z)) \ (x \ 1). [hyper(71,a,55,a(flip),b,2177,a),flip(a)]. given #2086 (H,wt=26): 2179 (x \ L(x,y,z)) \ (x \ 1) != (x \ 1) * u | (x \ L(x,y,z)) \ 1 = u. [para(2178(a,1),19(a,1))]. given #2087 (H,wt=31): 1855 K(x,x \ 1) * T((x * (1 / x)) \ y,z) = x * ((1 / x) * T((1 / x) \ (x \ y),z)). [para(1841(a,2),852(a,1,1))]. given #2088 (H,wt=31): 1988 x \ ((L(y \ 1,y,x) * x) / L(y \ 1,y,x)) = (x * (y * T(y \ 1,x))) * (x \ 1). [para(1986(a,1),1210(a,1,1)),flip(a)]. given #2089 (H,wt=25): 2181 (x * (y * T(y \ 1,x))) * (x \ 1) = x \ (x * (y * T(y \ 1,x))). [para(1986(a,1),1988(a,1,2)),flip(a)]. given #2090 (H,wt=21): 2182 (x * (y * T(y \ 1,x))) * (x \ 1) = y * T(y \ 1,x). [hyper(228,a,13,a(flip),b,2181,a)]. given #2091 (H,wt=23): 2184 (x \ 1) * T((x \ 1) \ 1,y) = (y * (x \ T(x,y))) * (y \ 1). [para(920(a,1),2182(a,1,1,2)),flip(a)]. given #2092 (H,wt=17): 2186 (x * (y \ T(y,x))) * (x \ 1) = y \ T(y,x). [hyper(228,a,920,a(flip),b,2184,a(flip))]. given #2093 (H,wt=25): 2185 ((x * y) \ x) * T(((x * y) \ x) \ 1,x) = (x * K(y,x)) * (x \ 1). [para(934(a,2),2182(a,1,1,2)),flip(a)]. given #2094 (H,wt=13): 2187 (x * K(y,x)) * (x \ 1) = K(y,x). [hyper(974,a,2185,a),flip(a)]. given #2095 (H,wt=17): 2188 (1 / x) * K(y,1 / x) = K(y,1 / x) / x. [hyper(313,a,2187,a),flip(a)]. given #2096 (H,wt=31): 1989 ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) / y = (1 / y) * (y * (x * T(x \ 1,y))). [para(1986(a,1),1423(a,1,2)),flip(a)]. given #2097 (H,wt=30): 2189 ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) / y = L(x * T(x \ 1,y),y,1 / y). [hyper(228,a,193,a(flip),b,1989,a)]. given #2098 (H,wt=24): 2190 L(x * T(x \ 1,y),y,1 / y) = (y * (x * T(x \ 1,y))) / y. [para(1986(a,1),2189(a,1,1)),flip(a)]. given #2099 (H,wt=28): 2191 (x * (((x * y) \ x) * T(((x * y) \ x) \ 1,x))) / x = L(K(y,x),x,1 / x). [para(934(a,2),2190(a,1,1)),flip(a)]. given #2100 (H,wt=16): 2192 L(K(x,y),y,1 / y) = (y * K(x,y)) / y. [para(934(a,2),2191(a,1,1,2)),flip(a)]. given #2101 (H,wt=31): 2008 K(x * y,y \ (x \ 1)) / a(x,y,1 / (x * y)) != z | x * (y * (1 / (x * y))) = z. [para(2003(a,1),293(a,1,2)),flip(b)]. given #2102 (H,wt=31): 2009 (x * (y * (1 / (x * y)))) \ K(x * y,y \ (x \ 1)) != z | a(x,y,1 / (x * y)) = z. [para(2007(a,1),283(a,1,1)),flip(b)]. given #2103 (H,wt=31): 2084 K(1 / x,(1 / x) \ 1) * ((1 / x) \ L(1 / x,y,z)) = L(x \ 1,y,z) / (1 / x). [hyper(228,a,1898,a(flip),b,2082,a)]. given #2104 (H,wt=27): 2193 K(x \ 1,x) * ((1 / x) \ L(1 / x,y,z)) = L(x \ 1,y,z) / (1 / x). [para(1884(a,1),2084(a,1,1))]. given #2105 (H,wt=25): 2194 K(x \ 1,x) * (x * L(x \ 1,y,z)) = L(x \ 1,y,z) / (1 / x). [para(995(a,1),2193(a,1,2))]. given #2106 (H,wt=31): 2119 ((x / y) * ((z * ((x / y) \ u)) / z)) * y = x * ((z * (((x / y) * y) \ (u * y))) / z). [hyper(300,a,2107,a),flip(a)]. given #2107 (H,wt=27): 2195 ((x / y) * ((z * ((x / y) \ u)) / z)) * y = x * ((z * (x \ (u * y))) / z). [para(16(a,1),2119(a,2,2,1,2,1))]. given #2108 (H,wt=27): 2196 (x * ((y * (x \ (z * u))) / y)) / u = (x / u) * ((y * ((x / u) \ z)) / y). [hyper(85,a,2195,a)]. given #2109 (H,wt=25): 2197 (x / y) * ((z * ((x / y) \ 1)) / z) = (x * ((z * (x \ y)) / z)) / y. [para(11(a,1),2196(a,1,1,2,1,2,2)),flip(a)]. given #2110 (H,wt=31): 2129 x * (((L(y,1 / y,x) * x) / L(y,1 / y,x)) \ z) = (x * (T(y,x) / y)) \ (x * z). [para(2128(a,1),1404(a,1,1)),flip(a)]. given #2111 (H,wt=23): 2198 (x * (T(y,x) / y)) \ (x * z) = x * ((x * (T(y,x) / y)) \ z). [para(2128(a,1),2129(a,1,2,1)),flip(a)]. given #2112 (H,wt=31): 2160 K(x \ 1,x) * L(T(y,K(x \ 1,x)),x,1 / x) = L(y * K(x \ 1,x),x,1 / x). [para(113(a,1),2159(a,1,1)),flip(a)]. given #2113 (H,wt=25): 2199 L(x * K(y \ 1,y),y,1 / y) = L(x,y,1 / y) * K(y \ 1,y). [hyper(378,a,2160,a),flip(a)]. given #2114 (H,wt=31): 2161 K(x \ 1,x) * T(K(x \ 1,x) \ y,z) = (x \ 1) * (x * T(x \ ((x \ 1) \ y),z)). [para(189(a,2),988(a,1,2,1,1))]. given #2115 (H,wt=27): 2200 K(x \ 1,x) * T(K(x \ 1,x) \ y,z) = (x \ T(x * (y / x),z)) * x. [hyper(228,a,1485,a(flip),b,2161,a)]. given #2116 (H,wt=31): 2180 K(x,x \ 1) * T(K(x,x \ 1) \ y,z) = x * ((1 / x) * T((1 / x) \ (x \ y),z)). [para(1841(a,2),1855(a,1,2,1,1))]. given #2117 (H,wt=27): 2201 K(x,x \ 1) * T(K(x,x \ 1) \ y,z) = x * (T((x \ y) * x,z) / x). [para(929(a,1),2180(a,2,2))]. given #2118 (H,wt=19): 2202 K(x,x \ 1) * T(K(x,x \ 1) \ y,x) = T(y,x). [hyper(228,a,1287,a(flip),b,2201,a)]. given #2119 (H,wt=19): 2203 T(x * K(y,y \ 1),y) = T(x,y) * K(y,y \ 1). [hyper(695,a,2202,a),flip(a)]. given #2120 (H,wt=19): 2204 T(K(x,x \ 1) * y,x) = K(x,x \ 1) * T(y,x). [para(13(a,1),2202(a,1,2,1)),flip(a)]. given #2121 (H,wt=21): 2206 T((x / y) * K(y,y \ 1),y) = (y \ x) * K(y,y \ 1). [para(115(a,1),2203(a,2,1))]. given #2122 (H,wt=19): 2208 x \ (y * K(x,x \ 1)) = (x \ y) * K(x,x \ 1). [hyper(1916,a,2206,a)]. given #2123 (H,wt=19): 2209 x * ((x \ y) * K(x,x \ 1)) = y * K(x,x \ 1). [para(2208(a,1),14(a,1,2))]. given #2124 (H,wt=19): 2211 (x * y) * K(x,x \ 1) = x * (y * K(x,x \ 1)). [para(13(a,1),2209(a,1,2,1)),flip(a)]. given #2125 (H,wt=10): 2212 R(x,y,K(x,x \ 1)) = x. [hyper(476,a,2211,a)]. given #2126 (H,wt=14): 2213 R(T(x,y),z,K(x,x \ 1)) = T(x,y). [para(2212(a,1),42(a,2,1))]. given #2127 (H,wt=13): 2214 T(x,y * K(x,x \ 1)) = T(x,y). [hyper(228,a,1915,a(flip),b,2213,a(flip))]. given #2128 (H,wt=16): 2216 T(x,R(x \ 1,x,y)) = T(x,y / (x * y)). [para(1959(a,2),2214(a,1,2)),flip(a)]. given #2129 (H,wt=21): 2207 x * T(K(x,x \ 1) * y,x) = K(x,x \ 1) * (y * x). [para(2204(a,2),1934(a,1,2))]. given #2130 (H,wt=19): 2218 (K(x,x \ 1) * y) * x = K(x,x \ 1) * (y * x). [hyper(219,a,2207,a)]. given #2131 (H,wt=10): 2220 L(x,y,K(x,x \ 1)) = x. [hyper(445,a,2218,a)]. given #2132 (H,wt=14): 2221 L(1 / x,y,K(x \ 1,x)) = 1 / x. [para(1884(a,1),2220(a,1,3))]. given #2133 (H,wt=18): 2222 L(T(1 / x,y),z,K(x \ 1,x)) = T(1 / x,y). [para(2221(a,1),40(a,2,1))]. given #2134 (H,wt=22): 2219 K(x,x \ 1) * (y * x) != z | (K(x,x \ 1) * y) * x = z. [para(2207(a,1),219(a,1))]. given #2135 (H,wt=23): 2205 T((1 / K(x,x \ 1)) * y,x) = (1 / K(x,x \ 1)) * T(y,x). [para(2202(a,1),876(a,1,2)),flip(a)]. given #2136 (H,wt=21): 2223 (1 / K(x,x \ 1)) * T(y,x) = T(K(x \ 1,x) * y,x). [para(430(a,1),2205(a,1,1,1)),flip(a)]. given #2137 (H,wt=19): 2224 T(K(x \ 1,x) * y,x) = K(x \ 1,x) * T(y,x). [para(430(a,1),2223(a,1,1)),flip(a)]. given #2138 (H,wt=21): 2225 x * T(K(x \ 1,x) * y,x) = K(x \ 1,x) * (y * x). [para(2224(a,2),1306(a,1,2))]. given #2139 (H,wt=19): 2226 (K(x \ 1,x) * y) * x = K(x \ 1,x) * (y * x). [hyper(219,a,2225,a)]. given #2140 (H,wt=10): 2227 L(x,y,K(x \ 1,x)) = x. [hyper(445,a,2226,a)]. given #2141 (H,wt=14): 2228 L(T(x,y),z,K(x \ 1,x)) = T(x,y). [para(2227(a,1),40(a,2,1))]. given #2142 (H,wt=13): 2229 T(x,K(x \ 1,x) * y) = T(x,y). [hyper(1985,a,2228,a)]. given #2143 (H,wt=18): 2230 T(x,L(x \ y,x,x \ 1)) = T(x,(x \ 1) * y). [para(987(a,1),2229(a,1,2)),flip(a)]. given #2144 (H,wt=27): 2210 ((1 / x) \ y) * K(1 / x,(1 / x) \ 1) = (1 / x) \ (y * K(1 / x,x)). [para(64(a,1),2208(a,1,2,2,2)),flip(a)]. given #2145 (H,wt=30): 2231 (1 / x) \ (L(y,x,1 / x) * K(1 / x,x)) = (x * y) * K(1 / x,(1 / x) \ 1). [para(395(a,1),2210(a,1,1)),flip(a)]. given #2146 (H,wt=30): 2232 (1 / x) \ (L(y,x,1 / x) * K(x \ 1,x)) = (x * y) * K(1 / x,(1 / x) \ 1). [para(1885(a,1),2231(a,1,2,2))]. given #2147 (H,wt=30): 2233 (1 / x) \ L(y * K(x \ 1,x),x,1 / x) = (x * y) * K(1 / x,(1 / x) \ 1). [para(2199(a,2),2232(a,1,2))]. given #2148 (H,wt=23): 2234 (x * y) * K(1 / x,(1 / x) \ 1) = x * (y * K(x \ 1,x)). [hyper(519,a,2233,a),flip(a)]. given #2149 (H,wt=19): 2235 (x * y) * K(x \ 1,x) = x * (y * K(x \ 1,x)). [para(1884(a,1),2234(a,1,2))]. given #2150 (H,wt=10): 2236 R(x,y,K(x \ 1,x)) = x. [hyper(476,a,2235,a)]. given #2151 (H,wt=14): 2238 R(1 / x,y,K(x,x \ 1)) = 1 / x. [para(1843(a,1),2236(a,1,3))]. given #2152 (H,wt=20): 2239 R(R(1 / x,y,z),u,K(x,x \ 1)) = R(1 / x,y,z). [para(2238(a,1),46(a,1,1)),flip(a)]. given #2153 (H,wt=22): 2237 x * (y * K(x \ 1,x)) != z | (x * y) * K(x \ 1,x) = z. [para(2236(a,1),221(a,1,1))]. given #2154 (H,wt=32): 690 (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(244(a,1),409(a,1,1,1)),flip(a)]. given #2155 (H,wt=27): 2240 (x * K(x,y)) * T((x * K(x,y)) \ (x * y),z) = (T(y,z) * x) * K(x,y). [hyper(228,a,481,a(flip),b,690,a)]. given #2156 (H,wt=23): 2241 x * (K(x,y) * T(K(x,y) \ y,z)) = (T(y,z) * x) * K(x,y). [hyper(858,a,2240,a)]. given #2157 (H,wt=23): 2242 (T(x,K(y,x)) * y) * K(y,x) = y * ((K(y,x) \ x) * K(y,x)). [para(113(a,1),2241(a,1,2)),flip(a)]. given #2158 (H,wt=32): 1006 ((x * y) \ x) * z != (y \ 1) * (y * ((x * y) \ x)) | K(y \ 1,y * ((x * y) \ x)) = z. [para(1004(a,1),241(a,1,1))]. given #2159 (H,wt=32): 1016 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(1013(a,1),683(a,1,2))]. given #2160 (H,wt=25): 2243 (L(x,y,z) * (1 / x)) / L(x,y,z) = L(1 / x,L(x,y,z),1 / x). [hyper(228,a,1644,a(flip),b,1016,a(flip)),flip(a)]. given #2161 (H,wt=29): 2245 x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = L(1 / x,L(x,y,z),1 / x) * x. [para(2243(a,1),805(a,1,1)),flip(a)]. given #2162 (H,wt=29): 2246 x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = x * L(x \ 1,L(x,y,z),1 / x). [hyper(228,a,588,a(flip),b,2245,a)]. given #2163 (H,wt=22): 2247 x * L(x \ 1,L(x,y,z),1 / x) = K(L(x,y,z),1 / x). [hyper(228,a,1607,a(flip),b,2246,a(flip))]. given #2164 (H,wt=32): 1047 (x * T(x \ 1,y)) * z != (u * x) * T((u * x) \ u,y) | T(u,x * T(x \ 1,y)) = z. [para(692(a,2),172(a,2))]. given #2165 (H,wt=32): 1124 T((x * y) / x,K(x \ (x / (((x * y) / x) \ 1)),x)) != z | (((x * y) / x) \ y) \ y = z. [para(944(a,2),648(a,1,2))]. given #2166 (H,wt=32): 1386 (x * (y * z)) * T((x * (y * z)) \ (x * y),u) = (x * y) * K(u \ (u / L(z,y,x)),u). [para(28(a,2),1381(a,2,2,1,2,2))]. given #2167 (H,wt=28): 2248 (x * y) * K(z \ (z / L(u,y,x)),z) = x * ((y * u) * T((y * u) \ y,z)). [hyper(858,a,1386,a),flip(a)]. given #2168 (H,wt=26): 2249 (x * y) * K(z \ (z / L(u,y,x)),z) = x * (y * (u * T(u \ 1,z))). [para(692(a,1),2248(a,2,2))]. given #2169 (H,wt=21): 2250 L(x * T(x \ 1,y),z,u) = K(y \ (y / L(x,z,u)),y). [hyper(445,a,2249,a)]. given #2170 (H,wt=21): 2252 L(x \ T(x,y),z,u) = K(y \ (y / L(x \ 1,z,u)),y). [para(920(a,1),2250(a,1,1))]. given #2171 (H,wt=24): 2251 L(x,y,z) * T(L(x,y,z) \ 1,u) = L(x * T(x \ 1,u),y,z). [hyper(228,a,936,a(flip),b,2250,a),flip(a)]. given #2172 (H,wt=26): 2253 L(x \ T(x,(y * x) \ y),x,y) = K(((y * x) \ y) \ 1,(y * x) \ y). [para(398(a,1),2252(a,2,1,2))]. given #2173 (H,wt=26): 2254 L(T(K(x,(y * x) \ y),x),x,y) = K(((y * x) \ y) \ 1,(y * x) \ y). [para(2102(a,1),2253(a,1,1))]. given #2174 (H,wt=32): 1407 ((x * y) / x) * (y \ ((((x * y) / x) \ y) * z)) = L(z,((x * y) / x) \ y,(x * y) / x). [hyper(707,a,1403,a),flip(a)]. given #2175 (H,wt=32): 1475 K(x \ (x / R(y,z,u)),x) = (((y * z) * u) * T(((y * z) * u) \ (z * u),x)) / (z * u). [para(30(a,2),1473(a,1,1,2,2))]. given #2176 (H,wt=28): 2255 K(x \ (x / R(y,z,u)),x) = (((y * z) * T((y * z) \ z,x)) * u) / (z * u). [para(1416(a,1),1475(a,2,1))]. given #2177 (H,wt=26): 2256 K(x \ (x / R(y,z,u)),x) = (((y * T(y \ 1,x)) * z) * u) / (z * u). [para(1158(a,1),2255(a,2,1,1))]. given #2178 (H,wt=21): 2257 R(x * T(x \ 1,y),z,u) = K(y \ (y / R(x,z,u)),y). [hyper(228,a,30,a,b,2256,a),flip(a)]. given #2179 (H,wt=24): 2258 K(x \ (x / R(y,z,u)),x) != w | R(y * T(y \ 1,x),z,u) = w. [para(2256(a,2),489(a,1))]. given #2180 (H,wt=24): 2259 R(x,y,z) * T(R(x,y,z) \ 1,u) = R(x * T(x \ 1,u),y,z). [hyper(228,a,936,a(flip),b,2257,a),flip(a)]. given #2181 (H,wt=25): 2260 R(x * T(x \ 1,R(x,y,z)),y,z) = K(R(x,y,z) \ 1,R(x,y,z)). [para(58(a,1),2257(a,2,1,2))]. given #2182 (H,wt=32): 1662 (x * y) * R((x * y) \ (z * y),u,w) != v5 * v6 | v5 \ ((x * R(x \ z,u,w)) * y) = v6. [para(1596(a,2),437(a,1))]. given #2183 (H,wt=32): 2121 (x * y) * ((z * ((x * y) \ (u * y))) / z) != y * w | T(x * ((z * (x \ u)) / z),y) = w. [para(2107(a,2),172(a,2)),flip(a)]. given #2184 (H,wt=33): 881 R(T(x,(y * z) * a(x,y,z)),y * z,a(x,y,z)) = ((y * z) * a(x,y,z)) \ ((x * y) * z). [hyper(71,a,89,a(flip),b,594,a),flip(a)]. given #2185 (H,wt=33): 976 (((x * y) \ x) \ K(y,x)) / (((x * y) \ x) \ 1) = ((x * y) \ x) * T(((x * y) \ x) \ 1,x). [para(935(a,1),954(a,1,1))]. given #2186 (H,wt=21): 2261 (((x * y) \ x) \ K(y,x)) / (((x * y) \ x) \ 1) = K(y,x). [hyper(228,a,934,a,b,976,a)]. given #2187 (H,wt=32): 2262 T(K(x,y),((y * x) \ y) \ 1) != z | (((y * x) \ y) \ 1) \ (((y * x) \ y) \ K(x,y)) = z. [para(2261(a,1),647(a,1,1))]. given #2188 (H,wt=33): 1018 K(x \ 1,x) * R(((x \ 1) * x) \ y,z,u) = (x \ 1) * (x * R(x \ ((x \ 1) \ y),z,u)). [para(527(a,1),455(a,1,2))]. given #2189 (H,wt=33): 1020 K(x \ 1,x) * L(((x \ 1) * x) \ y,z,u) = (x \ 1) * (x * L(x \ ((x \ 1) \ y),z,u)). [para(528(a,1),455(a,1,2))]. given #2190 (H,wt=33): 1214 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(1212(a,1),939(a,1,1,2))]. given #2191 (H,wt=26): 2265 K(T(x,R(x \ 1,y,z)),R(x \ 1,y,z)) = x \ T(x,R(x \ 1,y,z)). [para(32(a,2),1214(a,1,1))]. given #2192 (H,wt=25): 2266 K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)) = x \ T(x,y / (x * y)). [para(2216(a,1),2265(a,2,2))]. given #2193 (H,wt=33): 1277 (x \ y) \ L(x \ y,y \ x,1 / (y \ x)) = L(1 / (y \ x),y \ x,y) * ((x \ y) \ 1). [para(846(a,1),1129(a,1,1)),flip(a)]. given #2194 (H,wt=31): 2267 L(1 / (x \ y),x \ y,x) * ((y \ x) \ 1) = (y \ x) \ L(1 / (x \ y),x \ y,x). [para(846(a,1),1277(a,1,2)),flip(a)]. given #2195 (H,wt=33): 1681 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(1668(a,1),669(a,1,1,2))]. given #2196 (H,wt=32): 2268 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(1525(a,1),1681(a,1,1))]. given #2197 (H,wt=27): 2269 R(T(x,x \ 1),y,z) \ R(x,y,z) = (R(x,y,z) \ (R(x,y,z) / x)) * x. [para(2168(a,1),2268(a,1,1))]. given #2198 (H,wt=24): 2270 R(T(x,x \ 1),y,z) \ R(x,y,z) = T(1 / x,R(x,y,z)) * x. [para(1668(a,1),2269(a,2,1))]. given #2199 (H,wt=27): 2271 R(T(x,x \ 1),y,z) \ R(x,y,z) != u | x * T(x \ 1,R(x,y,z)) = u. [para(2270(a,2),646(a,1))]. given #2200 (H,wt=33): 1967 L(x,1 / (1 / y),K(1 / (1 / y),(1 / (1 / y)) \ 1)) = L(x,K(y,y \ 1),1 / (1 / y)). [para(1843(a,1),1957(a,2,2))]. given #2201 (H,wt=33): 2035 T(L(x,y,z) * T(L(x,y,z) \ 1,x),x * (L(x,y,z) \ 1)) = K(x \ (L(x,y,z) \ x),x). [para(1364(a,2),2032(a,1,2))]. given #2202 (H,wt=30): 2272 T(L(x * T(x \ 1,x),y,z),x * (L(x,y,z) \ 1)) = K(x \ (L(x,y,z) \ x),x). [para(2251(a,1),2035(a,1,1))]. given #2203 (H,wt=28): 2273 T(L(K(x \ 1,x),y,z),x * (L(x,y,z) \ 1)) = K(x \ (L(x,y,z) \ x),x). [para(269(a,1),2272(a,1,1,1))]. given #2204 (H,wt=26): 2274 T(L(K(x \ 1,x),y,z),L(x,y,z) \ x) = K(x \ (L(x,y,z) \ x),x). [para(1364(a,1),2273(a,1,2))]. given #2205 (H,wt=26): 2275 L(T(K(x \ 1,x),L(x,y,z) \ x),y,z) = K(x \ (L(x,y,z) \ x),x). [hyper(228,a,40,a,b,2274,a(flip)),flip(a)]. given #2206 (H,wt=24): 2276 L(T(K(x \ 1,x),L(x,y,z) \ x),y,z) = K(L(x,y,z) \ 1,x). [para(1370(a,1),2275(a,2,1))]. given #2207 (H,wt=33): 2048 (x \ ((y \ x) * z)) * R((x \ ((y \ x) * z)) \ z,u,w) = x \ ((R(y,u,w) * (y \ x)) * z). [para(601(a,1),1659(a,2,2,1))]. given #2208 (H,wt=31): 2277 K(x \ y,x) * R((y \ ((x \ y) * x)) \ x,z,u) = y \ ((R(x,z,u) * (x \ y)) * x). [para(94(a,1),2048(a,1,1))]. given #2209 (H,wt=29): 2278 K(x \ y,x) * R(K(x \ y,x) \ x,z,u) = y \ ((R(x,z,u) * (x \ y)) * x). [para(94(a,1),2277(a,1,2,1,1))]. given #2210 (H,wt=33): 2115 (x * ((y / (z * (x \ y))) / x)) * (z * (x \ y)) = x * ((z * ((x * (z \ 1)) / x)) * (x \ y)). [para(1597(a,1),2111(a,1,2)),flip(a)]. given #2211 (H,wt=33): 2263 K(x \ 1,x) * R(K(x \ 1,x) \ y,z,u) = (x \ 1) * (x * R(x \ ((x \ 1) \ y),z,u)). [para(189(a,2),1018(a,1,2,1,1))]. given #2212 (H,wt=33): 2264 K(x \ 1,x) * L(K(x \ 1,x) \ y,z,u) = (x \ 1) * (x * L(x \ ((x \ 1) \ y),z,u)). [para(189(a,2),1020(a,1,2,1,1))]. given #2213 (H,wt=33): 2279 K(x \ 1,x) * R(K(x \ 1,x) \ (y * x),z,u) = ((x \ 1) * R((x \ 1) \ y,z,u)) * x. [hyper(228,a,1656,a(flip),b,2263,a)]. given #2214 (H,wt=29): 2281 K(x \ 1,x) * R(K(x \ 1,x) \ (y * x),z,u) = (x \ R(x * y,z,u)) * x. [para(1023(a,1),2279(a,2,1))]. given #2215 (H,wt=33): 2280 K(x \ 1,x) * L(K(x \ 1,x) \ (y * x),z,u) = ((x \ 1) * L((x \ 1) \ y,z,u)) * x. [hyper(228,a,1621,a(flip),b,2264,a)]. given #2216 (H,wt=29): 2282 K(x \ 1,x) * L(K(x \ 1,x) \ (y * x),z,u) = (x \ L(x * y,z,u)) * x. [para(994(a,1),2280(a,2,1))]. given #2217 (H,wt=34): 789 (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(244(a,1),598(a,1,1,1)),flip(a)]. given #2218 (H,wt=29): 2283 (x * K(x,y)) * R((x * K(x,y)) \ (x * y),z,u) = (R(y,z,u) * x) * K(x,y). [hyper(228,a,483,a(flip),b,789,a)]. given #2219 (H,wt=25): 2284 x * (K(x,y) * R(K(x,y) \ y,z,u)) = (R(y,z,u) * x) * K(x,y). [hyper(1273,a,2283,a)]. given #2220 (H,wt=28): 2285 x * (K(x,y) * R(K(x,y) \ y,y \ 1,y)) = (T(y,y \ 1) * x) * K(x,y). [para(1179(a,1),2284(a,2,1,1))]. given #2221 (H,wt=34): 992 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(922(a,1),510(a,1,1,1))]. given #2222 (H,wt=34): 1697 R(x,y,z) * (z * R(z \ (y * z),u,w)) = (R(x,y,z) * R(R(x,y,z) \ (x * y),u,w)) * z. [para(141(a,1),1656(a,1,2,2,1,2))]. given #2223 (H,wt=32): 2286 (R(x,y,z) * R(R(x,y,z) \ (x * y),u,w)) * z = R(x,y,z) * (z * R(T(y,z),u,w)). [para(32(a,2),1697(a,1,2,2,1)),flip(a)]. given #2224 (H,wt=30): 2287 (R(x,y,z) * R(R(x,y,z) \ (x * y),u,w)) * z = R(x,y,z) * (R(y,u,w) * z). [para(184(a,1),2286(a,2,2))]. given #2225 (H,wt=35): 1215 ((x \ y) / y) * R(((x \ y) / y) \ (((x \ y) / y) * x),z,u) = R(x,z,u) / (((x \ y) / y) \ 1). [para(1172(a,1),1213(a,1,2,1,2))]. given #2226 (H,wt=23): 2288 R(x,y,z) / (((x \ u) / u) \ 1) = ((x \ u) / u) * R(x,y,z). [para(13(a,1),1215(a,1,2,1)),flip(a)]. given #2227 (H,wt=35): 1275 (x * R(x \ 1,y,z)) * u != (w * x) * R((w * x) \ w,y,z) | T(w,x * R(x \ 1,y,z)) = u. [para(840(a,2),172(a,2))]. given #2228 (H,wt=35): 1276 (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(844(a,2),172(a,2))]. given #2229 (H,wt=35): 1966 K(T(x,x \ 1),T(x,x \ 1) \ 1) * (T(x,x \ 1) \ y) = T(x,x \ 1) \ (K(x,x \ 1) * y). [para(1965(a,1),1931(a,1,2,1)),flip(a)]. given #2230 (H,wt=32): 2289 K(T(x,x \ 1),T(x,x \ 1) \ 1) * (T(x,x \ 1) \ y) = L(x \ y,x,K(x,x \ 1)). [hyper(228,a,1816,a(flip),b,1966,a)]. given #2231 (H,wt=24): 2290 K(x,x \ 1) * (T(x,x \ 1) \ y) = L(x \ y,x,K(x,x \ 1)). [para(1965(a,1),2289(a,1,1))]. given #2232 (H,wt=24): 2291 L(x \ y,x,K(x,x \ 1)) = K(x,x \ 1) * (((x \ 1) \ 1) \ y). [para(114(a,1),2290(a,1,2,1)),flip(a)]. given #2233 (H,wt=35): 2176 T(T(x,y) * ((T(x,y) / x) \ (1 / x)),T(x,y)) = T(x,y) * (K(y \ (y / (1 / x)),y) \ (1 / x)). [para(965(a,2),1649(a,2,2,1))]. given #2234 (H,wt=31): 2292 T(x,y) * (K(y \ (y / (1 / x)),y) \ (1 / x)) = T(x,y) * ((T(x,y) / x) \ (1 / x)). [hyper(228,a,1649,a(flip),b,2176,a(flip))]. given #2235 (H,wt=27): 2293 T(x,y) * (T(1 / (1 / x),y) \ 1) = T(x,y) * ((T(x,y) / x) \ (1 / x)). [para(941(a,1),2292(a,1,2))]. given #2236 (H,wt=25): 2294 T(x,y) * ((T(x,y) / x) \ (1 / x)) = T(1 / (1 / x),y) \ T(x,y). [hyper(228,a,2023,a(flip),b,2293,a(flip))]. given #2237 (H,wt=36): 1611 K(R(x,y,z),(R(x,y,z) / ((x \ 1) \ 1)) / R(x,y,z)) = (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)). [para(1147(a,1),1604(a,2,2,1))]. given #2238 (H,wt=34): 2295 K(R(x,y,z),((x \ 1) * R(x,y,z)) / R(x,y,z)) = (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)). [para(1680(a,1),1611(a,1,2,1))]. given #2239 (H,wt=24): 2296 (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) = K(R(x,y,z),x \ 1). [para(15(a,1),2295(a,1,2)),flip(a)]. given #2240 (H,wt=24): 2297 (x \ R(x,y,z)) / R(x,y,z) = (x \ 1) * K(R(x,y,z),x \ 1). [para(2296(a,1),14(a,1,2)),flip(a)]. given #2241 (H,wt=27): 2299 (x \ 1) * K(R(x,y,z),x \ 1) != u | (x \ R(x,y,z)) / R(x,y,z) = u. [para(2296(a,1),213(a,1,2)),flip(b)]. given #2242 (H,wt=27): 2300 (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) != u | K(R(x,y,z),x \ 1) = u. [para(2297(a,2),284(a,1,2)),flip(b)]. given #2243 (H,wt=37): 1125 K((x / y) \ ((x / y) / (T(x / (x / y),z) \ 1)),x / y) = (((x / y) * T(y,z)) / (x / y)) \ T(y,z). [para(422(a,1),944(a,1,1,2,2,1))]. given #2244 (H,wt=35): 2301 K((1 / x) \ ((1 / x) * T((1 / x) \ 1,y)),1 / x) = (((1 / x) * T(x,y)) / (1 / x)) \ T(x,y). [para(808(a,1),1125(a,1,1,2))]. given #2245 (H,wt=29): 2302 (((1 / x) * T(x,y)) / (1 / x)) \ T(x,y) = K((1 / x) \ (T(x,y) / x),1 / x). [para(956(a,1),2301(a,1,1,2)),flip(a)]. given #2246 (H,wt=23): 2303 (((1 / x) * T(x,y)) / (1 / x)) \ T(x,y) = K(T(x,y),1 / x). [para(960(a,1),2302(a,2,1))]. given #2247 (H,wt=19): 2304 T(1 / (1 / x),y) \ T(x,y) = K(T(x,y),1 / x). [para(422(a,1),2303(a,1,1))]. given #2248 (H,wt=37): 1557 (x * ((x \ R(x,y,z)) / R(x,y,z))) / (R(x,y,z) \ 1) = T(R(x,y,z),R(x,y,z) / (R(x,y,z) * x)). [para(1147(a,1),1556(a,1,1,2,1))]. given #2249 (H,wt=37): 1770 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(411(a,2),1748(a,2,1,2,1)),flip(a)]. given #2250 (H,wt=35): 2305 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(1080(a,1),1770(a,2,2,1))]. given #2251 (H,wt=25): 2306 T(x,y) * ((T(x,y) \ T(x,z)) / T(x,z)) = T(K(T(x,z),1 / x),y). [para(1616(a,1),2305(a,1,1)),flip(a)]. given #2252 (H,wt=19): 2307 K(T(x,y),1 / T(x,z)) = T(K(T(x,y),1 / x),z). [hyper(228,a,1773,a(flip),b,2306,a(flip)),flip(a)]. given #2253 (H,wt=19): 2308 K(T(x,y),T(x,y) \ 1) = T(K(T(x,y),1 / x),y). [hyper(1874,a,2307,a)]. given #2254 (H,wt=23): 2309 T(x,y) * ((T(x,y) / x) \ (1 / x)) = K(T(x,y),T(x,y) \ 1). [hyper(228,a,2047,a,b,2308,a),flip(a)]. given #2255 (H,wt=15): 2310 (T(x,y) / x) \ (1 / x) = 1 / T(x,y). [hyper(17,a,1841,a(flip),b,2309,a)]. given #2256 (H,wt=15): 2312 (T(x,y) / x) * (1 / T(x,y)) = 1 / x. [para(2310(a,1),14(a,1,2))]. given #2257 (H,wt=21): 2311 T(1 / (1 / x),y) \ T(x,y) = K(T(x,y),T(x,y) \ 1). [hyper(228,a,2294,a(flip),b,2309,a(flip)),flip(a)]. given #2258 (H,wt=17): 2314 K(T(x,y),T(x,y) \ 1) = K(T(x,y),1 / x). [hyper(228,a,2304,a(flip),b,2311,a(flip))]. given #2259 (H,wt=27): 2313 (T(T(x,x \ 1),y) / T(x,x \ 1)) \ (x \ 1) = 1 / T(T(x,x \ 1),y). [para(199(a,1),2310(a,1,2))]. given #2260 (H,wt=19): 2315 (x \ T(x,y)) \ (x \ 1) = 1 / T(T(x,x \ 1),y). [para(1260(a,1),2313(a,1,1))]. given #2261 (H,wt=15): 2316 1 / T(T(x,x \ 1),y) = T(x,y) \ 1. [hyper(291,a,2315,a),flip(a)]. given #2262 (H,wt=15): 2318 T(T(x,x \ 1),y) = (T(x,y) \ 1) \ 1. [para(2316(a,1),64(a,1,1)),flip(a)]. given #2263 (H,wt=15): 2319 1 / T(x \ 1,y) = T(1 / x,y) \ 1. [para(583(a,1),2316(a,1,2,1))]. given #2264 (H,wt=15): 2320 T(1 / (1 / x),y) \ 1 = 1 / T(x,y). [para(268(a,1),2316(a,1,2,1)),flip(a)]. given #2265 (H,wt=15): 2321 (T(x,y) \ 1) \ 1 = T((x \ 1) \ 1,y). [para(114(a,1),2318(a,1,1)),flip(a)]. given #2266 (H,wt=15): 2322 (T(1 / x,y) \ 1) \ 1 = T(x \ 1,y). [para(583(a,1),2318(a,1,1)),flip(a)]. given #2267 (H,wt=15): 2324 1 / (1 / T(x,y)) = T(1 / (1 / x),y). [para(2320(a,1),61(a,1,2))]. given #2268 (H,wt=17): 2323 (T(1 / x,y) \ 1) / y = 1 / ((x \ 1) * y). [hyper(72,a,2319,a(flip),b,328,a)]. given #2269 (H,wt=17): 2325 x * ((T(y,x) \ 1) \ 1) = ((y \ 1) \ 1) * x. [para(2321(a,2),113(a,1,2))]. given #2270 (H,wt=13): 2332 T(x,T(x,y) \ 1) = (x \ 1) \ 1. [hyper(694,a,2325,a)]. given #2271 (H,wt=13): 2336 T(x,T(x,y) \ 1) = T(x,x \ 1). [hyper(228,a,114,a,b,2332,a)]. given #2272 (H,wt=15): 2335 T(x,T(x,y) \ 1) = x * K(x,x \ 1). [hyper(228,a,403,a,b,2332,a)]. given #2273 (H,wt=13): 2338 T(K(x,x \ 1),y) = K(x,x \ 1). [hyper(1947,a,2335,a)]. given #2274 (H,wt=9): 2339 T(x,K(y,y \ 1)) = x. [hyper(35,a,2338,a)]. given #2275 (H,wt=9): 2348 T(x,K(y,1 / y)) = x. [para(1839(a,2),2339(a,1,2))]. given #2276 (H,wt=9): 2349 T(x,K(y \ 1,y)) = x. [para(1845(a,1),2339(a,1,2))]. given #2277 (H,wt=13): 2354 T(K(x \ 1,x),y) = K(x \ 1,x). [hyper(35,a,2349,a)]. given #2278 (H,wt=13): 2360 T((x \ 1) * x,y) = K(x \ 1,x). [para(189(a,1),2354(a,1,1))]. given #2279 (H,wt=15): 2341 K(x,x \ 1) * y = y * K(x,x \ 1). [para(2338(a,1),113(a,1,2)),flip(a)]. given #2280 (H,wt=15): 2351 K(x,1 / x) * y = y * K(x,1 / x). [hyper(2175,a,2348,a),flip(a)]. given #2281 (H,wt=15): 2353 K(x \ 1,x) * y = y * K(x \ 1,x). [hyper(2175,a,2349,a),flip(a)]. given #2282 (H,wt=15): 2355 (x * K(y \ 1,y)) / x = K(y \ 1,y). [para(2349(a,1),137(a,1,2))]. given #2283 (H,wt=15): 2359 K(x \ (x / T(x,y)),x) = K(x \ 1,x). [hyper(228,a,2033,a,b,2354,a(flip)),flip(a)]. given #2284 (H,wt=17): 2326 T(((x / y) \ 1) \ 1,y) = ((y \ x) \ 1) \ 1. [para(115(a,1),2321(a,1,1,1)),flip(a)]. given #2285 (H,wt=17): 2329 T(1 / (1 / (x / y)),y) = 1 / (1 / (y \ x)). [para(115(a,1),2324(a,1,2,2)),flip(a)]. given #2286 (H,wt=17): 2331 T(1 / x,y) \ (1 / y) = 1 / ((x \ 1) * y). [hyper(307,a,2323,a)]. given #2287 (H,wt=17): 2337 (T(x,y) \ x) / ((x \ 1) \ 1) = T(x,y) \ 1. [para(2332(a,1),1066(a,1,2))]. given #2288 (H,wt=17): 2340 T(x,y) \ K(x,x \ 1) = (T(x,y) \ x) / x. [hyper(71,a,2338,a(flip),b,1858,a)]. given #2289 (H,wt=17): 2362 L(K(x \ 1,x),y,z) = K(L(x,y,z) \ 1,x). [para(2354(a,1),2276(a,1,1))]. given #2290 (H,wt=17): 2367 (x * K(y,y \ 1)) \ 1 = x \ K(y \ 1,y). [para(2341(a,1),1889(a,1,1))]. given #2291 (H,wt=17): 2373 (x * K(y \ 1,y)) \ 1 = x \ K(y,y \ 1). [para(2353(a,1),434(a,1,1))]. given #2292 (H,wt=17): 2378 K(x \ 1,x) / T(x,y) = T(1 / T(x,y),x). [para(2359(a,1),940(a,1,1))]. given #2293 (H,wt=17): 2382 T(1 / x,y) \ (1 / y) = (1 / (1 / y)) \ x. [hyper(228,a,323,a(flip),b,2331,a)]. given #2294 (H,wt=17): 2383 (T(x,y) \ 1) * ((x \ 1) \ 1) = T(x,y) \ x. [para(2337(a,1),16(a,1,1))]. given #2295 (H,wt=13): 2389 (x \ T(x,y)) \ 1 = T(x,y) \ x. [hyper(629,a,2383,a)]. given #2296 (H,wt=15): 2390 (x \ 1) \ (T(x,y) \ 1) = T(x,y) \ x. [hyper(926,a,2389,a)]. given #2297 (H,wt=15): 2394 (x \ 1) * (T(x,y) \ x) = T(x,y) \ 1. [para(2390(a,1),14(a,1,2))]. given #2298 (H,wt=18): 2342 x * K(y,y \ 1) != z * x | K(y,y \ 1) = z. [para(2338(a,1),174(a,1,2)),flip(b)]. given #2299 (H,wt=18): 2343 x * K(y,y \ 1) != z | K(y,y \ 1) * x = z. [para(2338(a,1),219(a,1,2))]. given #2300 (H,wt=18): 2346 K(x,x \ 1) * y != z * K(x,x \ 1) | z = y. [para(2339(a,1),174(a,1,2))]. given #2301 (H,wt=18): 2347 K(x,x \ 1) * y != z | y * K(x,x \ 1) = z. [para(2339(a,1),219(a,1,2))]. given #2302 (H,wt=16): 2395 (x \ 1) \ 1 != y | x * K(x,x \ 1) = y. [para(1813(a,1),2347(a,1))]. given #2303 (H,wt=18): 2352 K(x,1 / x) * y != z | y * K(x,1 / x) = z. [para(2348(a,1),219(a,1,2))]. given #2304 (H,wt=18): 2357 K(x \ 1,x) * y != z * K(x \ 1,x) | z = y. [para(2349(a,1),174(a,1,2))]. given #2305 (H,wt=18): 2358 K(x \ 1,x) * y != z | y * K(x \ 1,x) = z. [para(2349(a,1),219(a,1,2))]. given #2306 (H,wt=16): 2396 1 / (1 / x) != y | x * K(x \ 1,x) = y. [para(1819(a,1),2358(a,1))]. given #2307 (H,wt=18): 2361 x * K(y \ 1,y) != z | K(y \ 1,y) * x = z. [para(2354(a,1),219(a,1,2))]. given #2308 (H,wt=19): 2333 (((x / y) \ 1) \ 1) * y = y * (((y \ x) \ 1) \ 1). [para(115(a,1),2325(a,1,2,1,1)),flip(a)]. given #2309 (H,wt=17): 2397 T(x,y / (y * x)) = ((y \ (y * x)) \ 1) \ 1. [hyper(1922,a,2333,a)]. given #2310 (H,wt=13): 2398 T(x,y / (y * x)) = (x \ 1) \ 1. [para(13(a,1),2397(a,2,1,1))]. given #2311 (H,wt=15): 2399 T(x \ y,x / y) = ((x \ y) \ 1) \ 1. [para(14(a,1),2398(a,1,2,2))]. given #2312 (H,wt=17): 2400 T((x * y) \ y,x) = (((x * y) \ y) \ 1) \ 1. [para(15(a,1),2399(a,1,2))]. given #2313 (H,wt=17): 2401 T(x \ (y \ x),y) = ((x \ (y \ x)) \ 1) \ 1. [para(61(a,1),2399(a,1,2))]. given #2314 (H,wt=19): 2368 K(x \ 1,x) * (y / x) = y * T(y \ (y / x),x). [hyper(228,a,973,a(flip),b,2353,a)]. given #2315 (H,wt=19): 2369 x * (K(y \ 1,y) * z) = x * (z * K(y \ 1,y)). [hyper(21,a,2353,a)]. given #2316 (H,wt=19): 2379 T(x,((y * x) / y) \ 1) = ((y \ (y * x)) \ 1) \ 1. [hyper(228,a,418,a(flip),b,2326,a(flip)),flip(a)]. given #2317 (H,wt=15): 2403 T(x,((y * x) / y) \ 1) = (x \ 1) \ 1. [para(13(a,1),2379(a,2,1,1))]. given #2318 (H,wt=19): 2380 (x * (((x \ y) \ 1) \ 1)) / x = ((y / x) \ 1) \ 1. [para(2326(a,1),166(a,1,1,2))]. given #2319 (H,wt=19): 2381 (x * (1 / (1 / (x \ y)))) / x = 1 / (1 / (y / x)). [para(2329(a,1),166(a,1,1,2))]. given #2320 (H,wt=19): 2392 T(x / y,y) \ (x / y) = ((x / y) \ (y \ x)) \ 1. [para(115(a,1),2389(a,1,1,2)),flip(a)]. given #2321 (H,wt=17): 2406 ((x / y) \ (y \ x)) \ 1 = (y \ x) \ (x / y). [para(115(a,1),2392(a,1,1)),flip(a)]. given #2322 (H,wt=19): 2405 (x * (1 / (1 / y))) / x = 1 / (1 / ((x * y) / x)). [para(13(a,1),2381(a,1,1,2,2,2))]. given #2323 (H,wt=20): 2327 x * ((T(y,x) \ 1) \ 1) != z | ((y \ 1) \ 1) * x = z. [para(2321(a,2),219(a,1,2))]. given #2324 (H,wt=20): 2384 (T(x,y) \ 1) * ((x \ 1) \ 1) != z | T(x,y) \ x = z. [para(2337(a,1),215(a,1,1)),flip(b)]. given #2325 (H,wt=16): 2408 (x \ T(x,y)) \ 1 != z | T(x,y) \ x = z. [para(254(a,1),2384(a,1))]. given #2326 (H,wt=21): 2328 T(x,y) * K(T(x,y) \ 1,T(x,y)) = T(1 / (1 / x),y). [hyper(228,a,1809,a,b,2324,a(flip)),flip(a)]. given #2327 (H,wt=21): 2376 ((x * y) / x) \ K(y \ 1,y) = T(((x * y) / x) \ 1,y). [para(2355(a,1),1483(a,1,2))]. given #2328 (H,wt=21): 2407 (x \ (x * y)) \ ((x * y) / x) = (((x * y) / x) \ y) \ 1. [para(13(a,1),2406(a,1,1,2)),flip(a)]. given #2329 (H,wt=17): 2411 (((x * y) / x) \ y) \ 1 = y \ ((x * y) / x). [para(13(a,1),2407(a,1,1)),flip(a)]. given #2330 (H,wt=17): 2412 1 / (x \ ((y * x) / y)) = ((y * x) / y) \ x. [para(2411(a,1),61(a,1,2))]. given #2331 (H,wt=20): 2413 1 / (x \ ((y * x) / y)) != z | ((y * x) / y) \ x = z. [para(2411(a,1),293(a,1,2)),flip(b)]. given #2332 (H,wt=22): 2387 (x * y) * K(L(z,y,x) \ 1,z) = x * (y * K(z \ 1,z)). [para(2362(a,1),100(a,1,2))]. given #2333 (H,wt=22): 2393 T(x,R(y,x,(y * x) \ x)) \ x = (x \ (x * K(x,y))) \ 1. [para(1614(a,1),2389(a,1,1,2)),flip(a)]. given #2334 (H,wt=18): 2415 T(x,R(y,x,(y * x) \ x)) \ x = K(x,y) \ 1. [para(13(a,1),2393(a,2,1))]. given #2335 (H,wt=22): 2402 x * T(x \ (x / y),y) != z | (x / y) * K(y \ 1,y) = z. [para(2368(a,1),2358(a,1))]. given #2336 (H,wt=22): 2404 (((x / y) \ 1) \ 1) * y != z | y * (((y \ x) \ 1) \ 1) = z. [para(2380(a,1),215(a,1,1)),flip(b)]. given #2337 (H,wt=23): 2330 T(1 / (1 / ((x \ 1) \ y)),z) \ x = (1 / T(x * y,z)) * x. [para(2324(a,1),902(a,1,1))]. given #2338 (H,wt=23): 2417 T(1 / ((1 / x) * (y \ 1)),z) \ y = (1 / T(y * x,z)) * y. [para(326(a,1),2330(a,1,1,1,2))]. given #2339 (H,wt=19): 2418 T(x / (1 / y),z) \ x = (1 / T(x * y,z)) * x. [para(259(a,1),2417(a,1,1,1))]. given #2340 (H,wt=24): 2385 (T(x,y) \ 1) * ((x \ 1) \ 1) != z * u | (T(x,y) \ x) / u = z. [para(2337(a,1),376(a,1,1))]. given #2341 (H,wt=25): 2370 L(1 / x,y,z) * K(x \ 1,x) = (x \ 1) * (x * L(x \ 1,y,z)). [hyper(228,a,1799,a(flip),b,2353,a(flip))]. given #2342 (H,wt=25): 2391 (R(x,y,z) \ R(T(x,u),y,z)) \ 1 = T(R(x,y,z),u) \ R(x,y,z). [para(42(a,2),2389(a,1,1,2))]. given #2343 (H,wt=25): 2414 (x * y) * z != x * (y * K(u \ 1,u)) | K(L(u,y,x) \ 1,u) = z. [para(2387(a,1),19(a,1)),flip(a)]. given #2344 (H,wt=25): 2420 (R(x,y,z) \ R(T(x,u),y,z)) \ 1 = R(T(x,u),y,z) \ R(x,y,z). [para(42(a,2),2391(a,2,1))]. given #2345 (H,wt=26): 2363 ((x * y) * K(z,z \ 1)) / (K(z,z \ 1) * y) = R(x,y,K(z,z \ 1)). [para(2341(a,2),30(a,2,2)),flip(a)]. given #2346 (H,wt=26): 2371 (x * K(y \ 1,y)) * L(z,x,K(y \ 1,y)) = K(y \ 1,y) * (x * z). [para(2353(a,1),100(a,1,1))]. given #2347 (H,wt=26): 2421 (K(x,x \ 1) * (y * z)) / (K(x,x \ 1) * z) = R(y,z,K(x,x \ 1)). [para(2341(a,2),2363(a,1,1))]. given #2348 (H,wt=28): 2364 R(x,x \ y,K(z,z \ 1)) \ (K(z,z \ 1) * y) = (x \ y) * K(z,z \ 1). [para(2341(a,2),472(a,1,2))]. given #2349 (H,wt=28): 2372 R(x,x \ y,K(z \ 1,z)) \ (K(z \ 1,z) * y) = (x \ y) * K(z \ 1,z). [para(2353(a,2),472(a,1,2))]. given #2350 (H,wt=28): 2419 ((x \ 1) * (x * L(x \ 1,x,y))) * x = (x * ((y * x) \ y)) * K(x \ 1,x). [para(2370(a,1),1493(a,1,1))]. given #2351 (H,wt=28): 2422 ((x \ 1) * x) * (x * L(x \ 1,x,y)) = (x * ((y * x) \ y)) * K(x \ 1,x). [hyper(228,a,1774,a(flip),b,2419,a(flip)),flip(a)]. given #2352 (H,wt=28): 2424 K(x \ 1,x) * (x * L(x \ 1,x,y)) = (x * ((y * x) \ y)) * K(x \ 1,x). [para(189(a,2),2422(a,1,1))]. given #2353 (H,wt=24): 2425 (x * ((y * x) \ y)) * K(x \ 1,x) = L(x \ 1,x,y) / (1 / x). [hyper(228,a,2194,a(flip),b,2424,a(flip))]. given #2354 (H,wt=22): 2426 (x * ((y * x) \ y)) * K(x \ 1,x) = L(x \ 1,x,y) * x. [hyper(228,a,1896,a(flip),b,2425,a)]. given #2355 (H,wt=19): 2427 (x \ 1) * (x * L(x \ 1,x,y)) = L(x \ 1,x,y). [hyper(18,a,2419,a,b,2426,a(flip)),flip(a)]. given #2356 (H,wt=18): 2428 (x * y) \ x = (y \ 1) * (y * L(y \ 1,y,x)). [hyper(228,a,161,a(flip),b,2427,a),flip(a)]. given #2357 (H,wt=17): 2429 (x \ 1) * (x * ((y * x) \ y)) = (y * x) \ y. [para(161(a,1),2428(a,2,2,2)),flip(a)]. given #2358 (H,wt=19): 2430 (x \ 1) * (x * ((y * x) \ y)) = ((y * x) \ y) * 1. [hyper(228,a,12,a,b,2429,a)]. given #2359 (H,wt=13): 2431 K(x \ 1,x * ((y * x) \ y)) = 1. [hyper(1006,a,2430,a(flip))]. given #2360 (H,wt=13): 2432 T(x,(y * x) \ y) = (x \ 1) \ 1. [hyper(71,a,2431,a(flip),b,2156,a(flip)),flip(a)]. given #2361 (H,wt=13): 2434 T(x,(y * x) \ y) = T(x,x \ 1). [hyper(228,a,114,a,b,2432,a)]. given #2362 (H,wt=15): 2433 T(1 / (1 / x),(y * x) \ y) / 1 = x. [para(2431(a,1),2157(a,1,2))]. given #2363 (H,wt=13): 2438 T(1 / (1 / x),(y * x) \ y) = x. [hyper(152,a,2433,a)]. given #2364 (H,wt=15): 2435 K(x,(y * x) \ y) = ((x \ 1) \ 1) / x. [hyper(72,a,2432,a(flip),b,2101,a),flip(a)]. given #2365 (H,wt=13): 2441 K(x,(y * x) \ y) = K(x,x \ 1). [hyper(228,a,1808,a(flip),b,2435,a)]. given #2366 (H,wt=13): 2444 K(x,y \ (y / x)) = K(x,x \ 1). [para(16(a,1),2441(a,1,2,1))]. given #2367 (H,wt=15): 2436 T(x \ y,y \ x) = ((x \ y) \ 1) \ 1. [para(14(a,1),2432(a,1,2,1))]. given #2368 (H,wt=15): 2440 T(1 / (1 / (x \ y)),y \ x) = x \ y. [para(14(a,1),2438(a,1,2,1))]. given #2369 (H,wt=15): 2446 K(x,(y * x) \ y) \ 1 = K(x \ 1,x). [para(2441(a,2),1886(a,1,1))]. given #2370 (H,wt=15): 2447 T(K(x,(y * x) \ y),z) = K(x,x \ 1). [para(2441(a,2),2338(a,1,1))]. given #2371 (H,wt=16): 2442 K(x,(y * x) \ y) != z | K(x,x \ 1) = z. [para(2435(a,2),1824(a,1))]. given #2372 (H,wt=17): 2443 K(x \ y,(x \ y) \ 1) = K(x \ y,y \ x). [para(14(a,1),2441(a,1,2,1)),flip(a)]. given #2373 (H,wt=11): 2458 T(x,K(y \ z,z \ y)) = x. [para(2443(a,1),2339(a,1,2))]. given #2374 (H,wt=17): 2448 K((x / y) \ x,z \ (z / y)) = K(y,y \ 1). [hyper(228,a,645,a,b,2444,a(flip)),flip(a)]. given #2375 (H,wt=17): 2449 T(x \ (x / y),y) = ((x \ (x / y)) \ 1) \ 1. [para(64(a,1),2436(a,1,2))]. given #2376 (H,wt=17): 2456 (x \ y) * (1 / (x \ y)) = K(x \ y,y \ x). [hyper(1846,a,2443,a)]. given #2377 (H,wt=19): 2453 (x * T(x \ y,y \ x)) / x = ((y / x) \ 1) \ 1. [para(2436(a,2),2380(a,1,1,2))]. given #2378 (H,wt=15): 2461 T(x / y,x \ y) = ((x / y) \ 1) \ 1. [hyper(414,a,2453,a)]. given #2379 (H,wt=17): 2462 T(x / (x * y),y) = ((x / (x * y)) \ 1) \ 1. [para(13(a,1),2461(a,1,2))]. given #2380 (H,wt=19): 2459 K(x \ y,y \ x) * z = z * K(x \ y,y \ x). [hyper(2175,a,2458,a),flip(a)]. given #2381 (H,wt=21): 2437 T(K(x,y),(x * y) \ (y * x)) = T(K(x,y),K(x,y) \ 1). [para(93(a,1),2434(a,1,2,1))]. given #2382 (H,wt=17): 2463 T(K(x,y),K(x,y) \ 1) = T(K(x,y),K(y,x)). [para(26(a,2),2437(a,1,2)),flip(a)]. given #2383 (H,wt=15): 2464 T(K(x,y),K(y,x)) = (K(x,y) \ 1) \ 1. [hyper(648,a,2463,a),flip(a)]. given #2384 (H,wt=11): 2465 (K(x,y) \ 1) \ 1 = K(x,y). [hyper(228,a,1756,a(flip),b,2464,a(flip))]. given #2385 (H,wt=11): 2468 1 / (1 / K(x,y)) = K(x,y). [para(2465(a,1),138(a,1,2,2))]. given #2386 (H,wt=21): 2451 x * K((x \ y) \ 1,x \ y) = y * (((y \ x) \ 1) \ 1). [para(2436(a,1),1380(a,1,2)),flip(a)]. given #2387 (H,wt=21): 2457 K((x * y) \ x,((x * y) \ x) \ 1) = K((x * y) \ x,y). [para(13(a,1),2443(a,2,2))]. given #2388 (H,wt=22): 2455 L(K(x,x \ 1),x,y) = K(((y * x) \ y) \ 1,(y * x) \ y). [para(2447(a,1),2254(a,1,1))]. given #2389 (H,wt=12): 2470 T(x,L(K(y,y \ 1),y,z)) = x. [para(2455(a,2),2349(a,1,2))]. given #2390 (H,wt=22): 2460 K(x \ y,y \ x) * z != u | z * K(x \ y,y \ x) = u. [para(2458(a,1),219(a,1,2))]. given #2391 (H,wt=23): 2445 K(x \ y,T(y,x) \ ((y * x) / y)) = K(x \ y,(x \ y) \ 1). [para(1084(a,2),2441(a,1,2,1))]. given #2392 (H,wt=21): 2472 K(x \ y,T(x / y,T(y,x))) = K(x \ y,(x \ y) \ 1). [para(1337(a,1),2445(a,1,2))]. given #2393 (H,wt=19): 2473 K(x \ y,T(x / y,T(y,x))) = K(x \ y,y \ x). [hyper(228,a,2443,a(flip),b,2472,a)]. given #2394 (H,wt=24): 2469 K((x * y) \ x,((x * y) \ x) \ 1) = L(K(y,y \ 1),y,x) \ 1. [para(2455(a,2),404(a,1,1)),flip(a)]. given #2395 (H,wt=18): 2474 K((x * y) \ x,y) = L(K(y,y \ 1),y,x) \ 1. [hyper(228,a,2457,a(flip),b,2469,a(flip)),flip(a)]. given #2396 (H,wt=25): 2450 T(K(x \ (x / (y \ 1)),x),T(y,x) \ y) = ((y \ T(y,x)) \ 1) \ 1. [para(939(a,2),2436(a,1,1))]. given #2397 (H,wt=25): 2452 K(x \ (x / T(y \ x,x \ y)),x) = T(K(x \ y,x),(y \ x) \ 1). [para(2436(a,2),2037(a,2,1,2,2)),flip(a)]. given #2398 (H,wt=21): 2475 T(K(x \ y,x),(y \ x) \ 1) = T(K(x \ y,x),x \ y). [hyper(228,a,2036,a(flip),b,2452,a(flip))]. given #2399 (H,wt=25): 2454 T(1 / (1 / K(x \ (x / (y \ 1)),x)),T(y,x) \ y) = y \ T(y,x). [para(939(a,2),2440(a,1,1,2,2))]. given #2400 (H,wt=21): 2477 T(K(x \ (x / (y \ 1)),x),T(y,x) \ y) = y \ T(y,x). [para(2468(a,1),2454(a,1,1))]. given #2401 (H,wt=15): 2478 ((x \ T(x,y)) \ 1) \ 1 = x \ T(x,y). [hyper(228,a,2450,a(flip),b,2477,a(flip)),flip(a)]. given #2402 (H,wt=15): 2479 1 / (x \ T(x,y)) = (x \ T(x,y)) \ 1. [para(2478(a,1),61(a,1,2))]. given #2403 (H,wt=13): 2480 1 / (x \ T(x,y)) = T(x,y) \ x. [hyper(228,a,2389,a(flip),b,2479,a)]. given #2404 (H,wt=13): 2481 (1 / T(x,y)) * x = T(x,y) \ x. [hyper(228,a,326,a(flip),b,2480,a(flip)),flip(a)]. given #2405 (H,wt=11): 2484 x / T(x,y) = T(x,y) \ x. [hyper(1329,a,2481,a)]. given #2406 (H,wt=11): 2489 (T(x,y) \ x) * T(x,y) = x. [para(2484(a,1),16(a,1,1))]. given #2407 (H,wt=10): 2492 L(x,T(x,y) \ x,x) = x. [hyper(228,a,2155,a,b,2489,a(flip)),flip(a)]. given #2408 (H,wt=11): 2490 (T(x,y) \ x) \ x = T(x,y). [para(2484(a,1),64(a,1,1))]. given #2409 (H,wt=13): 2482 (T(x,y) \ x) / x = 1 / T(x,y). [hyper(72,a,2480,a(flip),b,326,a(flip))]. given #2410 (H,wt=13): 2483 x * ((T(x,y) \ x) \ 1) = T(x,y). [para(2480(a,1),140(a,1,2,1))]. given #2411 (H,wt=13): 2485 T(1 / T(x,y),x) = T(x,y) \ 1. [hyper(171,a,2481,a,b,1059,a)]. given #2412 (H,wt=13): 2494 (x * y) * T(K(y,x),x) = y * x. [para(2492(a,1),2154(a,1,2)),flip(a)]. given #2413 (H,wt=9): 2498 T(K(x,y),y) = K(x,y). [hyper(241,a,2494,a),flip(a)]. given #2414 (H,wt=7): 2499 T(x,K(y,x)) = x. [hyper(35,a,2498,a)]. given #2415 (H,wt=7): 2503 K(x,K(y,x)) = 1. [hyper(36,a,2499,a)]. given #2416 (H,wt=9): 2511 T(x,y \ T(y,x)) = x. [para(939(a,1),2499(a,1,2))]. given #2417 (H,wt=11): 2501 K(x,y) * y = y * K(x,y). [para(2498(a,1),113(a,1,2)),flip(a)]. given #2418 (H,wt=11): 2502 (x * K(y,x)) / x = K(y,x). [para(2498(a,1),166(a,1,1,2))]. given #2419 (H,wt=11): 2510 T(x,y * T(y \ 1,x)) = x. [para(936(a,1),2499(a,1,2))]. given #2420 (H,wt=11): 2513 T(x,x \ ((y * x) / y)) = x. [para(1391(a,1),2499(a,1,2))]. given #2421 (H,wt=12): 2519 L(K(x,y),y,1 / y) = K(x,y). [hyper(228,a,2192,a,b,2502,a(flip)),flip(a)]. given #2422 (H,wt=13): 2496 ((T(x,y) \ x) / x) \ 1 = T(x,y). [para(2482(a,2),64(a,1,1))]. given #2423 (H,wt=13): 2524 (1 / x) * (x * K(y,x)) = K(y,x). [hyper(350,a,2519,a)]. given #2424 (H,wt=13): 2525 (1 / x) \ K(y,x) = x * K(y,x). [hyper(71,a,2519,a(flip),b,193,a)]. given #2425 (H,wt=14): 2487 T(x,y) \ x != z | x / T(x,y) = z. [para(2481(a,1),1329(a,1))]. given #2426 (H,wt=15): 2491 (T(x,y) \ x) * x = x * (T(x,y) \ x). [para(2484(a,1),2000(a,1,1))]. given #2427 (H,wt=15): 2495 T(x,y) \ K(x,x \ 1) = 1 / T(x,y). [hyper(228,a,2340,a,b,2482,a(flip)),flip(a)]. given #2428 (H,wt=15): 2497 K(x \ 1,x) / T(x,y) = T(x,y) \ 1. [hyper(228,a,2378,a,b,2485,a(flip)),flip(a)]. given #2429 (H,wt=15): 2500 T(L(K(x,y),z,u),y) = L(K(x,y),z,u). [para(2498(a,1),40(a,1,1)),flip(a)]. given #2430 (H,wt=10): 2531 T(x,L(K(y,x),z,u)) = x. [hyper(35,a,2500,a)]. given #2431 (H,wt=15): 2504 T(x,y) * K(z,x) = K(z,x) * T(x,y). [para(2499(a,1),182(a,1,2,1)),flip(a)]. given #2432 (H,wt=9): 2532 K(K(x,y),T(y,z)) = 1. [hyper(70,a,2504,a,b,93,a),flip(a)]. given #2433 (H,wt=11): 2533 K(x \ T(x,y),T(y,z)) = 1. [para(939(a,1),2532(a,1,1))]. given #2434 (H,wt=15): 2505 (x * K(y,x)) \ 1 = x \ (K(y,x) \ 1). [para(2499(a,1),250(a,1,1)),flip(a)]. given #2435 (H,wt=15): 2515 (x \ T(x,y)) * y = y * (x \ T(x,y)). [para(2511(a,1),113(a,1,2))]. given #2436 (H,wt=15): 2523 ((x * y) / x) / y = y \ ((x * y) / x). [para(2513(a,1),199(a,1,2))]. given #2437 (H,wt=15): 2529 x * (T(x,y) \ (1 / x)) = 1 / T(x,y). [hyper(228,a,1849,a(flip),b,2495,a(flip)),flip(a)]. given #2438 (H,wt=15): 2530 (T(x,y) \ 1) * T(x,y) = K(x \ 1,x). [para(2497(a,1),16(a,1,1))]. given #2439 (H,wt=15): 2534 T(x \ T(x,y),T(y,z)) = x \ T(x,y). [hyper(37,a,2533,a)]. given #2440 (H,wt=15): 2535 x * (((y * x) / y) / x) = (y * x) / y. [para(2523(a,2),14(a,1,2))]. given #2441 (H,wt=15): 2537 K(T(x,y) \ 1,T(x,y)) = K(x \ 1,x). [hyper(315,a,2530,a)]. given #2442 (H,wt=16): 2526 (1 / x) \ K(y,x) != z | x * K(y,x) = z. [para(2519(a,1),519(a,1,2))]. given #2443 (H,wt=17): 2506 L(x,y,z) * K(u,x) = K(u,x) * L(x,y,z). [para(2499(a,1),183(a,1,2,1)),flip(a)]. given #2444 (H,wt=17): 2507 R(x,y,z) * K(u,x) = K(u,x) * R(x,y,z). [para(2499(a,1),184(a,1,2,1)),flip(a)]. given #2445 (H,wt=17): 2522 T(x * T(x \ 1,y),y) = x * T(x \ 1,y). [hyper(35,a,2510,a)]. given #2446 (H,wt=17): 2527 (x \ 1) * K(y,x \ 1) = x \ K(y,x \ 1). [hyper(71,a,2524,a(flip),b,133,a(flip)),flip(a)]. given #2447 (H,wt=17): 2539 (1 / T(x,y)) * K(x \ 1,x) = T(x,y) \ 1. [para(2530(a,1),722(a,1,2))]. given #2448 (H,wt=17): 2543 T(x,y) * K(x \ 1,x) = T(1 / (1 / x),y). [para(2537(a,1),2328(a,1,2))]. given #2449 (H,wt=11): 2549 x * (T(x,y) / x) = T(x,y). [hyper(18,a,2089,a,b,2543,a),flip(a)]. given #2450 (H,wt=9): 2552 K(x,T(x,y) / x) = 1. [hyper(70,a,2549,a(flip),b,240,a),flip(a)]. given #2451 (H,wt=11): 2551 T(x,y) / x = x \ T(x,y). [hyper(77,a,2549,a),flip(a)]. given #2452 (H,wt=9): 2566 K(x,x \ T(x,y)) = 1. [para(2551(a,1),2552(a,1,2))]. given #2453 (H,wt=9): 2567 T(x,x \ T(x,y)) = x. [hyper(37,a,2566,a)]. given #2454 (H,wt=11): 2553 (x \ T(x,y)) * x = T(x,y). [para(2549(a,1),65(a,1,1,2))]. given #2455 (H,wt=11): 2555 T(1 / x,T(x,y)) = x \ 1. [hyper(71,a,2552,a(flip),b,1116,a),flip(a)]. given #2456 (H,wt=13): 2559 (1 / x) * T(x,y) = x \ T(x,y). [hyper(228,a,957,a,b,2551,a(flip)),flip(a)]. given #2457 (H,wt=13): 2568 T(x,K(y \ (y / (x \ 1)),y)) = x. [para(939(a,2),2567(a,1,2))]. given #2458 (H,wt=13): 2575 T(1 / (1 / x),T(1 / x,y)) = x. [hyper(228,a,64,a(flip),b,2555,a)]. given #2459 (H,wt=13): 2577 T(x \ 1,T(x,y)) = T(x \ 1,x). [para(2555(a,1),185(a,1,1)),flip(a)]. given #2460 (H,wt=13): 2581 T(x,T(1 / x,y)) = T(x,x \ 1). [para(2575(a,1),1803(a,1,1)),flip(a)]. given #2461 (H,wt=14): 2554 x \ T(x,y) != z | T(x,y) / x = z. [para(2549(a,1),284(a,1,2)),flip(b)]. given #2462 (H,wt=14): 2560 (x \ T(x,y)) * x != z | T(x,y) = z. [para(2551(a,1),215(a,1,1)),flip(b)]. given #2463 (H,wt=15): 2565 (x \ T(x,y)) * (1 / T(x,y)) = 1 / x. [para(2551(a,1),2312(a,1,1))]. given #2464 (H,wt=15): 2571 (x \ ((x \ y) \ y)) * x = T(x,x \ y). [para(114(a,1),2553(a,1,1,2))]. given #2465 (H,wt=15): 2576 T(x,y) * (x \ 1) = (1 / x) * T(x,y). [para(2555(a,1),113(a,1,2))]. given #2466 (H,wt=15): 2580 (((x * y) / x) \ y) \ y = (x * y) / x. [hyper(1124,a,2568,a)]. given #2467 (H,wt=15): 2586 (((x * y) / x) \ y) * ((x * y) / x) = y. [para(2580(a,1),14(a,1,2))]. given #2468 (H,wt=16): 2569 T(x,R(1 / y,y,x)) = T(x,x / (x * y)). [hyper(228,a,1569,a,b,2553,a(flip)),flip(a)]. given #2469 (H,wt=15): 2588 T(x,x / (y * x)) = T(x,x / (x * y)). [para(162(a,1),2569(a,1,2))]. given #2470 (H,wt=16): 2578 T(x / (y * x),T(y,z)) = R(y \ 1,y,x). [para(2555(a,1),363(a,2,1))]. given #2471 (H,wt=17): 2557 (1 / x) * T((1 / x) \ 1,y) = x \ T(x,y). [hyper(1218,a,2551,a)]. given #2472 (H,wt=17): 2558 (x \ 1) \ T(x \ 1,y) = x * T(x \ 1,y). [hyper(963,a,2551,a),flip(a)]. given #2473 (H,wt=17): 2579 x * T(x \ 1,T(x,y)) = K(x \ 1,T(x,y)). [para(2555(a,1),968(a,1,1)),flip(a)]. given #2474 (H,wt=15): 2593 K(x \ 1,T(x,y)) = x * T(x \ 1,x). [para(2577(a,1),2579(a,1,2)),flip(a)]. given #2475 (H,wt=13): 2594 K(x \ 1,T(x,y)) = K(x \ 1,x). [hyper(228,a,269,a(flip),b,2593,a)]. given #2476 (H,wt=18): 2486 T(x,y) \ x != x * z | T(1 / T(x,y),x) = z. [para(2481(a,1),172(a,2)),flip(a)]. given #2477 (H,wt=18): 2508 K(x,y) * T(y,z) != u | T(y,z) * K(x,y) = u. [para(2499(a,1),377(a,1,2,1))]. given #2478 (H,wt=18): 2520 L((T(x,y) * (x \ y)) / y,y,x) = K(T(x,y),y). [hyper(228,a,1266,a,b,2502,a(flip)),flip(a)]. given #2479 (H,wt=18): 2538 K(x \ 1,x) / T(x,y) != z | T(x,y) \ 1 = z. [para(2530(a,1),295(a,1,1)),flip(b)]. given #2480 (H,wt=18): 2540 (x * y) / x != y * z | ((x * y) / x) / y = z. [para(2535(a,1),19(a,1))]. given #2481 (H,wt=18): 2556 x \ T(x,R(y,y \ 1,x)) = y \ ((x * y) / x). [hyper(1564,a,2551,a),flip(a)]. given #2482 (H,wt=11): 2599 T(x,y \ ((x * y) / x)) = x. [para(2556(a,1),2567(a,1,2))]. given #2483 (H,wt=9): 2600 T(x,T(y,x) \ y) = x. [para(166(a,1),2599(a,1,2,2))]. given #2484 (H,wt=9): 2603 T(x,K(y,x) \ 1) = x. [para(1157(a,1),2600(a,1,2))]. given #2485 (H,wt=15): 2601 (T(x,y) \ x) * y = y * (T(x,y) \ x). [para(2600(a,1),113(a,1,2))]. given #2486 (H,wt=18): 2561 R(x \ T(x,y),x,z) = (T(x,y) * z) / (x * z). [para(2551(a,1),110(a,1,1))]. given #2487 (H,wt=18): 2574 L(x,x \ T(x,y),x) = T(x,y) / (x \ T(x,y)). [para(2553(a,1),889(a,1,1)),flip(a)]. given #2488 (H,wt=10): 2607 L(x,x \ T(x,y),x) = x. [hyper(228,a,61,a(flip),b,2574,a)]. given #2489 (H,wt=18): 2602 (T(x,y) \ x) * y != z | y * (T(x,y) \ x) = z. [para(2600(a,1),219(a,1,2))]. given #2490 (H,wt=19): 2488 K(x \ (x / ((y \ x) / T(x,y))),x) = T(x,y) \ x. [hyper(228,a,1732,a,b,2484,a(flip)),flip(a)]. given #2491 (H,wt=19): 2509 T(T(x,y),z) * K(u,x) = K(u,x) * T(T(x,y),z). [para(2499(a,1),408(a,1,2,1,1)),flip(a)]. given #2492 (H,wt=19): 2514 x * ((K(x,y) \ y) * K(x,y)) = (y * x) * K(x,y). [para(2499(a,1),2242(a,1,1,1)),flip(a)]. given #2493 (H,wt=11): 2609 (K(x,y) \ y) * K(x,y) = y. [hyper(17,a,93,a(flip),b,2514,a)]. given #2494 (H,wt=11): 2610 x / K(y,x) = K(y,x) \ x. [hyper(85,a,2609,a)]. given #2495 (H,wt=14): 2611 x / K(y,x) != z | K(y,x) \ x = z. [para(2609(a,1),295(a,1,1)),flip(b)]. given #2496 (H,wt=19): 2546 x * ((y \ (x \ y)) * y) = y * (x * T(x \ 1,y)). [para(2522(a,1),1314(a,1,2)),flip(a)]. given #2497 (H,wt=19): 2548 x * ((1 / T(x,y)) * K(x \ 1,x)) = T(x,y) \ x. [para(2539(a,2),1059(a,1,2))]. given #2498 (H,wt=19): 2584 T(x,x \ 1) * T(x \ 1,y) = x * T(1 / x,y). [para(2581(a,1),1592(a,1,1))]. given #2499 (H,wt=19): 2612 (x * (1 / T(x,y))) * K(x \ 1,x) = T(x,y) \ x. [hyper(2237,a,2548,a)]. given #2500 (H,wt=19): 2613 ((x \ 1) \ 1) * T(x \ 1,y) = x * T(1 / x,y). [hyper(228,a,245,a(flip),b,2584,a(flip)),flip(a)]. given #2501 (H,wt=20): 2516 R(x,K(y,z),z) * (z * K(y,z)) = (x * K(y,z)) * z. [para(2501(a,1),109(a,1,2))]. given #2502 (H,wt=20): 2528 (1 / x) * (x * K(y,x)) != z * u | z \ K(y,x) = u. [para(2525(a,1),374(a,1,2))]. given #2503 (H,wt=19): 2617 L(K(x,y),y,1 / y) != z * u | z \ K(x,y) = u. [para(193(a,1),2528(a,1))]. given #2504 (H,wt=20): 2544 L(x,y,z) * K(u,x) != w * L(x,y,z) | K(u,x) = w. [para(2506(a,2),20(a,1))]. given #2505 (H,wt=20): 2545 R(x,y,z) * K(u,x) != K(u,x) * w | R(x,y,z) = w. [para(2507(a,2),19(a,1))]. given #2506 (H,wt=20): 2563 x \ T(x,y) != z | (1 / x) * T((1 / x) \ 1,y) = z. [para(2551(a,1),1218(a,1))]. given #2507 (H,wt=20): 2598 T(x,R(y,y \ 1,x)) \ x = 1 / (y \ ((x * y) / x)). [para(2556(a,1),2480(a,1,2)),flip(a)]. given #2508 (H,wt=18): 2618 T(x,R(y,y \ 1,x)) \ x = ((x * y) / x) \ y. [hyper(228,a,2412,a(flip),b,2598,a)]. given #2509 (H,wt=20): 2605 T(x,R(T(y,x),T(y,x) \ 1,x)) = x * (T(y,x) \ y). [hyper(228,a,1563,a,b,2601,a(flip)),flip(a)]. given #2510 (H,wt=20): 2619 T(x,R(y,y \ 1,x)) \ 1 = x \ (((x * y) / x) \ y). [hyper(71,a,2618,a(flip),b,1059,a),flip(a)]. given #2511 (H,wt=17): 2621 T(x,x \ (((x * y) / x) \ y)) = T(x,x \ 1). [para(2619(a,1),2336(a,1,2))]. given #2512 (H,wt=15): 2622 T(x,x \ (y \ T(y,x))) = T(x,x \ 1). [para(166(a,1),2621(a,1,2,2,1))]. given #2513 (H,wt=20): 2620 T(x,R(T(y,x),T(y,x) \ 1,x)) \ x = y \ T(y,x). [para(166(a,1),2618(a,2,1))]. given #2514 (H,wt=15): 2623 (x * (T(y,x) \ y)) \ x = y \ T(y,x). [para(2605(a,1),2620(a,1,1))]. given #2515 (H,wt=15): 2624 x / (y \ T(y,x)) = x * (T(y,x) \ y). [para(2623(a,1),61(a,1,2))]. given #2516 (H,wt=21): 2541 (x \ 1) * (x * ((y * (x \ 1)) / y)) = (y * (x \ 1)) / y. [para(1424(a,1),2535(a,1,2))]. given #2517 (H,wt=21): 2573 (T(x,y) * z) / (x * z) != u | R(x \ T(x,y),x,z) = u. [para(2553(a,1),489(a,1,1,1))]. given #2518 (H,wt=21): 2591 L(x * T(x \ 1,y),x \ 1,y) != z | K(x \ 1,y) = z. [para(2558(a,1),703(a,1,1))]. given #2519 (H,wt=22): 2512 K(x,y) * T(T(y,z),u) != w | T(T(y,z),u) * K(x,y) = w. [para(2499(a,1),582(a,1,2,1,1))]. given #2520 (H,wt=22): 2547 (x \ R(x,y,z)) / R(x,y,z) = x \ K(R(x,y,z),x \ 1). [hyper(2299,a,2527,a)]. given #2521 (H,wt=22): 2570 T(x,y) \ ((x \ T(x,y)) * (x * z)) = L(z,x,x \ T(x,y)). [para(2553(a,1),28(a,2,1)),flip(a)]. given #2522 (H,wt=21): 2628 L(x * y,x \ T(x,z),x) = x * L(y,x,x \ T(x,z)). [para(2570(a,1),1071(a,1,2)),flip(a)]. given #2523 (H,wt=21): 2629 x * L(x \ y,x,x \ T(x,z)) = L(y,x \ T(x,z),x). [para(14(a,1),2628(a,1,1)),flip(a)]. given #2524 (H,wt=22): 2572 T(x,y) * L(z,x,x \ T(x,y)) = (x \ T(x,y)) * (x * z). [para(2553(a,1),100(a,1,1))]. given #2525 (H,wt=22): 2614 T(x,x \ 1) * T(x \ 1,y) != x * z | T(1 / x,y) = z. [para(2584(a,2),19(a,1))]. given #2526 (H,wt=22): 2627 x * ((x \ R(x,y,z)) / R(x,y,z)) = K(R(x,y,z),x \ 1). [para(2547(a,2),14(a,1,2))]. given #2527 (H,wt=23): 2517 (x * K(y,z)) * z != u * (z * K(y,z)) | R(x,K(y,z),z) = u. [para(2501(a,1),476(a,2,2))]. given #2528 (H,wt=23): 2518 ((x * K(y,z)) * z) / (z * K(y,z)) != u | R(x,K(y,z),z) = u. [para(2501(a,1),489(a,1,2))]. given #2529 (H,wt=23): 2564 (x * (y \ T(y,x))) \ (x * z) = x * ((x * (T(y,x) / y)) \ z). [para(2551(a,1),2198(a,1,1,2))]. given #2530 (H,wt=23): 2589 (x \ T(x,x / (x * y))) * x != z | T(x,R(1 / y,y,x)) = z. [para(2569(a,1),2560(a,1,1,2))]. given #2531 (H,wt=23): 2590 K(x,y) = (L(x \ 1,x,y) \ 1) \ T(L(x \ 1,x,y) \ 1,y). [hyper(228,a,1039,a,b,2558,a),flip(a)]. given #2532 (H,wt=13): 2633 T(x,x \ K(y,x)) = T(x,x \ 1). [para(2590(a,2),2622(a,1,2,2))]. given #2533 (H,wt=15): 2634 K(x,y) / T(y,y \ 1) = y \ K(x,y). [para(2633(a,1),199(a,1,2))]. given #2534 (H,wt=23): 2604 (K(x,y) \ y) / (K(x,y) \ 1) = (K(x,y) \ 1) \ (K(x,y) \ y). [para(2603(a,1),952(a,1,1,2))]. given #2535 (H,wt=23): 2606 (x * ((x * (T(y,x) \ y)) \ x)) \ (x * x) = (T(y,x) \ y) * x. [para(2601(a,1),2006(a,1,1,2,1))]. given #2536 (H,wt=23): 2632 (x * (y \ T(y,x))) \ (x * z) = x * ((x * (y \ T(y,x))) \ z). [para(2551(a,1),2564(a,2,2,1,2))]. given #2537 (H,wt=23): 2635 (x * ((x * (T(y,x) \ y)) \ x)) \ (x * x) = x * (T(y,x) \ y). [hyper(228,a,2601,a(flip),b,2606,a)]. given #2538 (H,wt=19): 2637 (x * (y \ T(y,x))) \ (x * x) = x * (T(y,x) \ y). [para(2623(a,1),2635(a,1,1,2))]. given #2539 (H,wt=15): 2638 (x * (y \ T(y,x))) \ x = T(y,x) \ y. [hyper(17,a,2632,a(flip),b,2637,a(flip)),flip(a)]. given #2540 (H,wt=24): 2521 R(K(x,y),y,(y * K(x,y)) \ z) \ z = y * ((y * K(x,y)) \ z). [para(2502(a,1),471(a,1,1,1))]. given #2541 (H,wt=24): 2562 R((x / y) \ T(x / y,z),x / y,y) = (T(x / y,z) * y) / x. [para(2551(a,1),497(a,1,1))]. given #2542 (H,wt=24): 2626 (x * (y \ 1)) / x != (y \ 1) * z | y * ((x * (y \ 1)) / x) = z. [para(2541(a,1),19(a,1))]. given #2543 (H,wt=24): 2640 R((x / y) \ T(x / y,z),x / y,y) = (y * T(y \ x,z)) / x. [para(409(a,1),2562(a,2,1))]. given #2544 (H,wt=25): 2476 T(K(x \ (x * y),x),x \ (x * y)) = T(K(y,x),((x * y) \ x) \ 1). [para(13(a,1),2475(a,1,1,1)),flip(a)]. given #2545 (H,wt=21): 2641 T(K(x,y),((y * x) \ y) \ 1) = T(K(x,y),y \ (y * x)). [para(13(a,1),2476(a,1,1,1)),flip(a)]. given #2546 (H,wt=17): 2642 T(K(x,y),((y * x) \ y) \ 1) = T(K(x,y),x). [para(13(a,1),2641(a,2,2))]. given #2547 (H,wt=25): 2583 K(T(x,y) \ (T(x,y) / T(x,z)),T(x,y)) = T(x * T(x \ 1,x),z). [para(2577(a,1),2030(a,1,1,2)),flip(a)]. given #2548 (H,wt=23): 2645 K(T(1 / T(x,y),T(x,z)),T(x,z)) = T(x * T(x \ 1,x),y). [para(1349(a,1),2583(a,1,1))]. given #2549 (H,wt=21): 2646 K(T(1 / T(x,y),T(x,z)),T(x,z)) = T((x \ 1) * x,y). [para(113(a,1),2645(a,2,1))]. given #2550 (H,wt=19): 2647 K(T(1 / T(x,y),T(x,z)),T(x,z)) = K(x \ 1,x). [hyper(228,a,2360,a(flip),b,2646,a)]. given #2551 (H,wt=19): 2649 T(1 / T(x,y),T(x,z)) = K(x \ 1,x) / T(x,y). [para(2647(a,1),1356(a,1,1)),flip(a)]. given #2552 (H,wt=15): 2650 T(1 / T(x,y),T(x,z)) = T(x,y) \ 1. [hyper(228,a,2497,a(flip),b,2649,a)]. given #2553 (H,wt=15): 2652 K(T(x,y) \ 1,T(x,z)) = K(x \ 1,x). [para(2650(a,1),2647(a,1,1))]. given #2554 (H,wt=26): 2636 (x * (y \ T(y,x))) \ (x * z) != x * u | (x * (y \ T(y,x))) \ z = u. [para(2632(a,2),19(a,1))]. given #2555 (H,wt=26): 2644 T(K(x,y),x) != z | (((y * x) \ y) \ 1) \ (((y * x) \ y) \ K(x,y)) = z. [para(2642(a,1),2262(a,1))]. given #2556 (H,wt=30): 2334 ((R(x / y,y,z) \ 1) \ 1) * (y * z) = (y * z) * ((((y * z) \ (x * z)) \ 1) \ 1). [para(499(a,1),2325(a,1,2,1,1)),flip(a)]. given #2557 (H,wt=31): 2366 (K(x,x \ 1) * y) \ ((z * y) * K(x,x \ 1)) != u | L(T(z,y),y,K(x,x \ 1)) = u. [para(2341(a,1),721(a,1,2))]. given #2558 (H,wt=31): 2375 (K(x \ 1,x) * y) \ ((z * y) * K(x \ 1,x)) != u | L(T(z,y),y,K(x \ 1,x)) = u. [para(2353(a,1),721(a,1,2))]. given #2559 (H,wt=31): 2423 (x * ((y * x) \ y)) * K(x \ 1,x) != z * x | (x \ 1) * (x * L(x \ 1,x,y)) = z. [para(2419(a,1),20(a,1))]. given #2560 (H,wt=31): 2536 R(x,y,z) \ (((u / x) * R(x,y,z)) / (u / x)) = R(u / (u / x),y,z) / R(x,y,z). [para(803(a,1),2523(a,1,1)),flip(a)]. given #2561 (H,wt=27): 2657 R(x / (x / y),z,u) / R(y,z,u) = R(y,z,u) \ R(x / (x / y),z,u). [para(803(a,1),2536(a,1,2)),flip(a)]. given #2562 (H,wt=24): 2658 R(x,y,z) \ R(1 / (1 / x),y,z) = x * T(x \ 1,R(x,y,z)). [hyper(228,a,1893,a(flip),b,2657,a(flip))]. given #2563 (H,wt=32): 2597 R(x \ T(x,y),K(x \ 1,x),z) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,T(x,y)) * z. [para(2594(a,1),992(a,1,1,2))]. given #2564 (H,wt=32): 2630 T(x * L(x \ ((y * z) / y),x,x \ T(x,y)),y) = (x \ T(x,y)) * (x * (T(x,y) \ z)). [hyper(228,a,2038,a,b,2572,a(flip)),flip(a)]. given #2565 (H,wt=28): 2660 T(L((x * y) / x,z \ T(z,x),z),x) = (z \ T(z,x)) * (z * (T(z,x) \ y)). [para(2629(a,1),2630(a,1,1))]. given #2566 (H,wt=26): 2661 L(x \ (x * y),z \ T(z,x),z) = (z \ T(z,x)) * (z * (T(z,x) \ y)). [hyper(228,a,186,a(flip),b,2660,a(flip)),flip(a)]. given #2567 (H,wt=22): 2662 (x \ T(x,y)) * (x * (T(x,y) \ z)) = L(z,x \ T(x,y),x). [para(13(a,1),2661(a,1,1)),flip(a)]. given #2568 (H,wt=15): 2663 (x \ T(x,y)) \ x = x * (T(x,y) \ x). [hyper(71,a,2607,a(flip),b,2662,a)]. given #2569 (H,wt=22): 2664 L(1 / x,x \ T(x,y),x) = (x \ T(x,y)) * (1 / T(x,y)). [para(2529(a,1),2662(a,1,2)),flip(a)]. given #2570 (H,wt=14): 2667 L(1 / x,x \ T(x,y),x) = 1 / x. [hyper(228,a,2565,a(flip),b,2664,a)]. given #2571 (H,wt=22): 2666 x * (T(x,R(y,y \ 1,x)) \ x) = (y \ ((x * y) / x)) \ x. [para(2556(a,1),2663(a,1,1)),flip(a)]. given #2572 (H,wt=19): 2670 (x \ ((y * x) / y)) \ y = y * (((y * x) / y) \ x). [para(2618(a,1),2666(a,1,2)),flip(a)]. given #2573 (H,wt=21): 2671 x * (((x * T(y,x)) / x) \ T(y,x)) = (T(y,x) \ y) \ x. [para(166(a,1),2670(a,1,1,2)),flip(a)]. given #2574 (H,wt=15): 2672 (T(x,y) \ x) \ y = y * (x \ T(x,y)). [para(166(a,1),2671(a,1,2,1)),flip(a)]. given #2575 (H,wt=15): 2673 (T(x,y) \ x) * (y * (x \ T(x,y))) = y. [para(2672(a,1),14(a,1,2))]. given #2576 (H,wt=24): 2665 x * (T(x,R(y,x,(y * x) \ x)) \ x) = (x \ (x * K(x,y))) \ x. [para(1614(a,1),2663(a,1,1,2)),flip(a)]. given #2577 (H,wt=20): 2674 x * (T(x,R(y,x,(y * x) \ x)) \ x) = K(x,y) \ x. [para(13(a,1),2665(a,2,1))]. given #2578 (H,wt=13): 2676 x * (K(x,y) \ 1) = K(x,y) \ x. [para(2415(a,1),2674(a,1,2))]. given #2579 (H,wt=16): 2677 K(x,y) \ x != x * z | K(x,y) \ 1 = z. [para(2676(a,1),19(a,1))]. given #2580 (H,wt=31): 2669 x * ((x \ T(x,y)) * T(1 / x,x * (x \ T(x,y)))) = (1 / x) * (x * (x \ T(x,y))). [para(2667(a,1),584(a,2,1))]. given #2581 (H,wt=27): 2678 x * ((x \ T(x,y)) * T(1 / x,T(x,y))) = (1 / x) * (x * (x \ T(x,y))). [para(14(a,1),2669(a,1,2,2,2))]. given #2582 (H,wt=23): 2680 (1 / x) * (x * (x \ T(x,y))) = x * ((x \ T(x,y)) * (x \ 1)). [para(2555(a,1),2678(a,1,2,2)),flip(a)]. given #2583 (H,wt=23): 2681 (1 / x) * (x * (x \ T(x,y))) = x * ((x \ 1) * (x \ T(x,y))). [para(1182(a,1),2680(a,2,2))]. given #2584 (H,wt=22): 2683 (1 / x) * (x * (x \ T(x,y))) = L(x \ T(x,y),x \ 1,x). [hyper(228,a,190,a(flip),b,2681,a)]. given #2585 (H,wt=18): 2684 L(x \ T(x,y),x \ 1,x) = (1 / x) * T(x,y). [hyper(302,a,2683,a),flip(a)]. given #2586 (H,wt=16): 2686 L(x \ T(x,y),x \ 1,x) = x \ T(x,y). [hyper(228,a,2559,a(flip),b,2684,a)]. given #2587 (H,wt=25): 2687 L(x \ (x * K(x,y)),x \ 1,x) = x \ T(x,R(y,x,(y * x) \ x)). [para(1614(a,1),2686(a,1,1,2))]. given #2588 (H,wt=21): 2688 x \ T(x,R(y,x,(y * x) \ x)) = L(K(x,y),x \ 1,x). [para(13(a,1),2687(a,1,1)),flip(a)]. given #2589 (H,wt=16): 2690 L(K(x,y),x \ 1,x) = x \ (x * K(x,y)). [para(1614(a,1),2688(a,1,2)),flip(a)]. given #2590 (H,wt=12): 2691 L(K(x,y),x \ 1,x) = K(x,y). [hyper(228,a,13,a(flip),b,2690,a)]. given #2591 (H,wt=13): 2694 (x \ 1) * K(x,y) = x \ K(x,y). [hyper(71,a,2691,a(flip),b,190,a),flip(a)]. given #2592 (H,wt=13): 2695 K(x,y) * (x \ 1) = x \ K(x,y). [hyper(1200,a,2694,a)]. given #2593 (H,wt=13): 2696 K(x,y) \ (x \ K(x,y)) = x \ 1. [hyper(71,a,2694,a(flip),b,1199,a)]. given #2594 (H,wt=16): 2697 x \ K(x,y) != z * K(x,y) | x \ 1 = z. [para(2694(a,1),20(a,1))]. given #2595 (H,wt=16): 2698 K(x,y) \ (x \ K(x,y)) != z | x \ 1 = z. [para(2695(a,1),284(a,1,2)),flip(b)]. given #2596 (H,wt=19): 2692 L(K(x,y),x \ 1,x) != z * u | z \ K(x,y) = u. [para(2690(a,2),301(a,1))]. given #2597 (H,wt=20): 2699 K(x,y) \ (x \ K(x,y)) != z * u | (x \ 1) / u = z. [para(2695(a,1),438(a,1,2))]. given #2598 (H,wt=32): 2631 T(R(x,y,z),R(x,y,z) / (R(x,y,z) * x)) = K(R(x,y,z),x \ 1) / (R(x,y,z) \ 1). [para(2627(a,1),1557(a,1,1)),flip(a)]. given #2599 (H,wt=30): 2700 T(R(x,y,z),R(x,y,z) / (R(x,y,z) * x)) = R(x,y,z) * K(R(x,y,z),x \ 1). [hyper(228,a,1619,a(flip),b,2631,a)]. given #2600 (H,wt=30): 2701 T(R(x,y,z),R(x,y,z) / (x * R(x,y,z))) = R(x,y,z) * K(R(x,y,z),x \ 1). [hyper(228,a,2588,a,b,2700,a(flip)),flip(a)]. given #2601 (H,wt=30): 2702 R(T(x,R(x,y,z) / (x * R(x,y,z))),y,z) = R(x,y,z) * K(R(x,y,z),x \ 1). [hyper(228,a,42,a,b,2701,a(flip)),flip(a)]. given #2602 (H,wt=22): 2703 R(x,y,z) * K(R(x,y,z),x \ 1) = R((x \ 1) \ 1,y,z). [para(1907(a,1),2702(a,1,1)),flip(a)]. given #2603 (H,wt=22): 2704 R(x,y,z) \ R(T(x,x \ 1),y,z) = K(R(x,y,z),x \ 1). [hyper(71,a,1045,a,b,2703,a)]. given #2604 (H,wt=18): 2706 a(R(x,y,z),1 / x,x) = K(R(x,y,z),x \ 1). [hyper(228,a,1894,a(flip),b,2704,a(flip)),flip(a)]. given #2605 (H,wt=23): 2708 x * ((x \ R(x,y,z)) / R(x,y,z)) = a(R(x,y,z),1 / x,x). [hyper(228,a,2627,a,b,2706,a),flip(a)]. given #2606 (H,wt=23): 2709 x * L(x \ 1,R(x,y,z),1 / x) = a(R(x,y,z),1 / x,x). [para(1722(a,2),2708(a,1,2))]. given #2607 (H,wt=24): 2707 R(T(x,x \ 1),y,z) \ R(x,y,z) = K(R(x,y,z),x \ 1) \ 1. [para(2704(a,1),2420(a,1,1)),flip(a)]. given #2608 (H,wt=24): 2710 K(R(x,y,z),x \ 1) \ 1 != u | x * T(x \ 1,R(x,y,z)) = u. [para(2707(a,1),2271(a,1))]. given #2609 (H,wt=33): 2587 (((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1)) \ (x \ 1) = (R(x,y,z) * (x \ 1)) / R(x,y,z). [para(1147(a,1),2580(a,1,1,1,1))]. given #2610 (H,wt=31): 2711 (((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1)) \ (x \ 1) = (x \ R(x,y,z)) / R(x,y,z). [para(1147(a,1),2587(a,2,1))]. given #2611 (H,wt=34): 2365 (K(x,x \ 1) * y) \ ((z * y) * K(x,x \ 1)) = R(T(z,y * K(x,x \ 1)),y,K(x,x \ 1)). [para(2341(a,2),595(a,1,1))]. given #2612 (H,wt=27): 2712 R(T(x,y * K(z,z \ 1)),y,K(z,z \ 1)) = L(T(x,y),y,K(z,z \ 1)). [hyper(2366,a,2365,a),flip(a)]. given #2613 (H,wt=34): 2374 (K(x \ 1,x) * y) \ ((z * y) * K(x \ 1,x)) = R(T(z,y * K(x \ 1,x)),y,K(x \ 1,x)). [para(2353(a,2),595(a,1,1))]. given #2614 (H,wt=27): 2713 R(T(x,y * K(z \ 1,z)),y,K(z \ 1,z)) = L(T(x,y),y,K(z \ 1,z)). [hyper(2375,a,2374,a),flip(a)]. given #2615 (H,wt=34): 2615 (x * T(1 / x,y)) \ (((x \ 1) \ 1) * (T(x \ 1,y) * z)) = L(z,T(x \ 1,y),(x \ 1) \ 1). [para(2584(a,1),615(a,1,1))]. given #2616 (H,wt=37): 1983 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = (((y \ x) * (x \ y)) / (y \ x)) * ((x \ y) \ 1). [para(1982(a,1),806(a,1,2,1))]. given #2617 (H,wt=36): 2714 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = L(1 / (y \ x),y \ x,y) * ((x \ y) \ 1). [para(784(a,1),1983(a,2,1))]. given #2618 (H,wt=34): 2715 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = (x \ y) \ L(1 / (y \ x),y \ x,y). [hyper(228,a,2267,a(flip),b,2714,a)]. given #2619 (H,wt=37): 1984 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = K(y \ x,((y \ x) / ((x \ y) \ 1)) / (y \ x)). [para(1982(a,1),1602(a,2,2,1)),flip(a)]. given #2620 (H,wt=35): 2716 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = K(y \ x,((x \ y) * (y \ x)) / (y \ x)). [para(1502(a,1),1984(a,2,2,1))]. given #2621 (H,wt=27): 2717 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = K(y \ x,x \ y). [para(15(a,1),2716(a,2,2))]. given #2622 (H,wt=22): 2718 (x \ y) \ L(1 / (y \ x),y \ x,y) = K(y \ x,x \ y). [hyper(228,a,2715,a(flip),b,2717,a(flip)),flip(a)]. given #2623 (H,wt=22): 2720 (x \ y) * K(y \ x,x \ y) = L(1 / (y \ x),y \ x,y). [para(2718(a,1),14(a,1,2))]. given #2624 (H,wt=37): 2409 T(((x * y) / x) * (((x * y) / x) \ K(y \ 1,y)),((x * y) / x) \ y) = K(y \ (((x * y) / x) \ y),y). [para(2376(a,2),2032(a,1,1,2))]. given #2625 (H,wt=25): 2721 T(K(x \ 1,x),((y * x) / y) \ x) = K(x \ (((y * x) / y) \ x),x). [para(14(a,1),2409(a,1,1))]. given #2626 (H,wt=17): 2722 K(x \ (((y * x) / y) \ x),x) = K(x \ 1,x). [hyper(228,a,2354,a(flip),b,2721,a(flip))]. given #2627 (H,wt=39): 2217 (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(2216(a,1),177(a,1,2,1))]. given #2628 (H,wt=32): 2725 (x * R(x \ 1,x,y)) \ (x * (y / (x * y))) = K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)). [para(1647(a,1),2217(a,1,2))]. given #2629 (H,wt=23): 2726 K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)) = K(x,y / (x * y)). [hyper(733,a,2725,a),flip(a)]. given #2630 (H,wt=17): 2727 x \ T(x,y / (x * y)) = K(x,y / (x * y)). [hyper(228,a,2266,a(flip),b,2726,a(flip)),flip(a)]. given #2631 (H,wt=13): 2728 K(x,y / (x * y)) = K(x,x \ 1). [hyper(1910,a,2727,a),flip(a)]. given #2632 (H,wt=16): 2729 K(x,y / (x * y)) != z | K(x,x \ 1) = z. [para(2727(a,1),1910(a,1))]. given #2633 (H,wt=20): 2730 K(x / y,y / x) != z | K(x / y,(x / y) \ 1) = z. [para(16(a,1),2729(a,1,2,2))]. given #2634 (H,wt=39): 2625 x / ((((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x))) = x * (T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)). [para(935(a,1),2624(a,1,2,2))]. given #2635 (H,wt=40): 2114 (x * (R(y / z,z,y \ u) / x)) * (z * (y \ u)) = x * ((z * (y \ u)) * ((x * ((z * (y \ u)) \ (x \ u))) / x)). [para(281(a,2),2111(a,2,1,2,1)),flip(a)]. given #2636 (H,wt=36): 2731 (x * (R(y / z,z,y \ u) / x)) * (z * (y \ u)) = (x * ((u / (z * (y \ u))) / x)) * (z * (y \ u)). [hyper(228,a,2111,a(flip),b,2114,a)]. given #2637 (H,wt=40): 2639 T((x * K(y,x)) * (R(K(y,x),x,(x * K(y,x)) \ 1) \ 1),z) = (x * K(y,x)) * (T(x,z) * ((x * K(y,x)) \ 1)). [para(2521(a,2),947(a,1,1,2))]. given #2638 (H,wt=42): 1554 (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(100(a,1),1032(a,1,1))]. given #2639 (H,wt=39): 2732 (x * (y * z)) * ((u * ((x * (y * z)) \ (x * y))) / u) = (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)). [para(100(a,1),1554(a,1,2,1,2,1))]. given #2640 (H,wt=35): 2733 (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)) = x * ((y * z) * ((u * ((y * z) \ y)) / u)). [hyper(1250,a,2732,a),flip(a)]. given #2641 (H,wt=33): 2734 (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)) = x * (y * (z * ((u * (z \ 1)) / u))). [para(1032(a,1),2733(a,2,2))]. given #2642 (H,wt=28): 2735 L(x,y,z) * ((u * (L(x,y,z) \ 1)) / u) = L(x * ((u * (x \ 1)) / u),y,z). [hyper(445,a,2734,a),flip(a)]. given #2643 (H,wt=30): 2736 L(x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)),y,z) = L(x,y,z) * (1 / L(x,y,z)). [para(14(a,1),2735(a,1,2,1)),flip(a)]. given #2644 (H,wt=30): 2737 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(228,a,1841,a,b,2736,a)]. given #2645 (H,wt=23): 2738 L(K(L(x,y,z),1 / x),y,z) = K(L(x,y,z),L(x,y,z) \ 1). [para(1607(a,1),2737(a,1,1))]. given #2646 (H,wt=42): 1559 ((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(109(a,1),1036(a,1,2))]. given #2647 (H,wt=39): 2739 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((x * ((z * u) / ((y * z) * u))) / x) * ((y * z) * u). [para(109(a,1),1559(a,1,1,1,2,2)),flip(a)]. given #2648 (H,wt=39): 2740 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((y * z) * u) * ((x * (((y * z) * u) \ (z * u))) / x). [hyper(228,a,805,a(flip),b,2739,a)]. given #2649 (H,wt=35): 2741 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((y * z) * ((x * ((y * z) \ z)) / x)) * u. [hyper(228,a,2107,a(flip),b,2740,a)]. given #2650 (H,wt=35): 2742 (R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u)) * (y * z) = ((x * y) * ((u * ((x * y) \ y)) / u)) * z. [para(805(a,1),2741(a,1,1))]. given #2651 (H,wt=33): 2743 (R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u)) * (y * z) = ((x * ((u * (x \ 1)) / u)) * y) * z. [para(1597(a,1),2742(a,2,1))]. given #2652 (H,wt=28): 2744 R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u) = R(x * ((u * (x \ 1)) / u),y,z). [hyper(18,a,109,a,b,2743,a)]. given #2653 (H,wt=23): 2745 R(x * ((y * (x \ 1)) / y),z,u) = K(y,(y / R(x,z,u)) / y). [hyper(1603,a,2744,a),flip(a)]. given #2654 (H,wt=30): 2746 R(x * ((R(x,y,z) * (x \ 1)) / R(x,y,z)),y,z) = R(x,y,z) * (1 / R(x,y,z)). [para(14(a,1),2744(a,1,2,1)),flip(a)]. given #2655 (H,wt=30): 2747 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(228,a,1841,a,b,2746,a)]. given #2656 (H,wt=28): 2748 R(x * ((x \ R(x,y,z)) / R(x,y,z)),y,z) = K(R(x,y,z),R(x,y,z) \ 1). [para(1147(a,1),2747(a,1,1,2,1))]. given #2657 (H,wt=23): 2749 R(K(R(x,y,z),x \ 1),y,z) = K(R(x,y,z),R(x,y,z) \ 1). [para(2627(a,1),2748(a,1,1))]. given #2658 (H,wt=42): 1582 (((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(30(a,2),1581(a,1,1)),flip(a)]. given #2659 (H,wt=37): 2750 (((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(30(a,2),1582(a,2,2,1,1))]. given #2660 (H,wt=33): 2751 (((x * y) * R((x * y) \ y,z,u)) * w) / (y * w) = R(x,y,w) * R(R(x,y,w) \ 1,z,u). [para(1596(a,1),2750(a,1,1))]. given #2661 (H,wt=31): 2752 (((x * R(x \ 1,y,z)) * u) * w) / (u * w) = R(x,u,w) * R(R(x,u,w) \ 1,y,z). [para(1417(a,1),2751(a,1,1,1))]. given #2662 (H,wt=26): 2753 R(x,y,z) * R(R(x,y,z) \ 1,u,w) = R(x * R(x \ 1,u,w),y,z). [hyper(489,a,2752,a),flip(a)]. given #2663 (H,wt=29): 2754 R(x,y,z) * R(R(x,y,z) \ 1,u,w) != v5 | R(x * R(x \ 1,u,w),y,z) = v5. [para(2752(a,1),489(a,1))]. given #2664 (H,wt=42): 1599 (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(28(a,2),1598(a,1,1)),flip(a)]. given #2665 (H,wt=37): 2755 (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(28(a,2),1599(a,2,2,1,1))]. given #2666 (H,wt=37): 2756 (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(986(a,1),2755(a,1,2))]. given #2667 (H,wt=33): 2757 (x * y) \ (x * ((y * z) * L((y * z) \ y,u,w))) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). [para(13(a,1),2756(a,1,2,2,2,1,2))]. given #2668 (H,wt=31): 2758 (x * y) \ (x * (y * (z * L(z \ 1,u,w)))) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). [para(844(a,1),2757(a,1,2,2))]. given #2669 (H,wt=26): 2759 L(x,y,z) * L(L(x,y,z) \ 1,u,w) = L(x * L(x \ 1,u,w),y,z). [hyper(456,a,2758,a),flip(a)]. given #2670 (H,wt=27): 2761 L(x,y,z) * L(L(x,y,z) \ 1,x,1 / x) = L(x * T(1 / x,1),y,z). [para(708(a,1),2759(a,2,1,2))]. given #2671 (H,wt=26): 2763 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(x * T(1 / x,1),y,z). [para(1371(a,1),2761(a,1,2))]. given #2672 (H,wt=24): 2764 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(x * (1 / x),y,z). [para(143(a,1),2763(a,2,1,2))]. given #2673 (H,wt=24): 2765 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(K(x,x \ 1),y,z). [para(1841(a,2),2764(a,2,1))]. given #2674 (H,wt=29): 2760 L(x,y,z) * L(L(x,y,z) \ 1,u,w) != v5 | L(x * L(x \ 1,u,w),y,z) = v5. [para(2758(a,1),456(a,1))]. given #2675 (H,wt=34): 2762 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(1015(a,1),2759(a,1,2))]. given #2676 (H,wt=32): 2766 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(12(a,1),2762(a,1,2,2)),flip(a)]. given #2677 (H,wt=27): 2767 L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)) = L(K(L(x,y,z),1 / x),y,z). [para(2247(a,1),2766(a,1,1)),flip(a)]. given #2678 (H,wt=27): 2768 L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)) = K(L(x,y,z),L(x,y,z) \ 1). [hyper(228,a,2738,a(flip),b,2767,a)]. given #2679 (H,wt=17): 2769 (L(x,y,z) / x) \ (1 / x) = 1 / L(x,y,z). [hyper(17,a,1841,a(flip),b,2768,a)]. given #2680 (H,wt=17): 2770 L(1 / (1 / x),y,z) \ 1 = 1 / L(x,y,z). [hyper(228,a,1574,a,b,2769,a(flip)),flip(a)]. given #2681 (H,wt=17): 2771 L(1 / (1 / x),y,z) = 1 / (1 / L(x,y,z)). [para(2770(a,1),61(a,1,2)),flip(a)]. given #2682 (H,wt=17): 2772 1 / L(x \ 1,y,z) = L(1 / x,y,z) \ 1. [para(61(a,1),2770(a,1,1,1,2)),flip(a)]. given #2683 (H,wt=17): 2773 1 / (1 / L(x \ 1,y,z)) = L(1 / x,y,z). [para(61(a,1),2771(a,1,1,2)),flip(a)]. given #2684 (H,wt=16): 2776 L(1 / x,x,y) = 1 / (1 / ((y * x) \ y)). [para(161(a,1),2773(a,1,2,2)),flip(a)]. given #2685 (H,wt=17): 2775 (L(1 / x,y,z) \ 1) \ 1 = L(x \ 1,y,z). [para(2772(a,1),64(a,1,1))]. given #2686 (H,wt=17): 2780 L((x \ 1) \ 1,y,z) = (L(x,y,z) \ 1) \ 1. [para(61(a,1),2775(a,1,1,1,1)),flip(a)]. given #2687 (H,wt=18): 2777 L(1 / (x \ y),x \ y,x) = 1 / (1 / (y \ x)). [para(351(a,1),2773(a,1,2,2)),flip(a)]. given #2688 (H,wt=18): 2779 L(x,x \ 1,y) = 1 / (1 / ((y * (x \ 1)) \ y)). [para(61(a,1),2776(a,1,1))]. given #2689 (H,wt=18): 2783 L(x \ y,y \ x,x \ y) = 1 / (1 / (x \ y)). [hyper(228,a,1650,a,b,2777,a(flip)),flip(a)]. given #2690 (H,wt=19): 2782 (x \ y) * K(y \ x,x \ y) = 1 / (1 / (x \ y)). [hyper(228,a,2720,a,b,2777,a(flip)),flip(a)]. given #2691 (H,wt=17): 2785 K(1 / (x \ y),x \ y) = K(y \ x,x \ y). [hyper(17,a,1888,a,b,2782,a),flip(a)]. given #2692 (H,wt=17): 2786 K((x \ y) \ 1,x \ y) = K(y \ x,x \ y). [hyper(17,a,1809,a,b,2782,a),flip(a)]. given #2693 (H,wt=17): 2787 K((1 / x) * y,y \ x) = K(x \ y,y \ x). [para(326(a,1),2785(a,1,1))]. given #2694 (H,wt=17): 2788 K(x \ y,y \ x) / (y \ x) = (y \ x) \ 1. [para(2785(a,1),726(a,1,1))]. given #2695 (H,wt=19): 2790 x * K(y \ x,x \ y) = y * (((y \ x) \ 1) \ 1). [para(2786(a,1),2451(a,1,2))]. given #2696 (H,wt=21): 2774 T(1 / (1 / L(x,y,z)),1 / x) = L((1 / x) \ 1,y,z). [para(2771(a,1),186(a,1,1))]. given #2697 (H,wt=17): 2792 T(1 / (1 / L(x,y,z)),1 / x) = L(x,y,z). [para(64(a,1),2774(a,2,1))]. given #2698 (H,wt=21): 2784 x * K(x \ y,(x \ y) \ 1) = y * (1 / (1 / (y \ x))). [para(2783(a,1),1955(a,1,2)),flip(a)]. given #2699 (H,wt=19): 2794 x * K(x \ y,y \ x) = y * (1 / (1 / (y \ x))). [para(2443(a,1),2784(a,1,2))]. given #2700 (H,wt=21): 2789 K(((x * y) \ x) \ 1,(x * y) \ x) = K(y,(x * y) \ x). [hyper(228,a,644,a(flip),b,2786,a)]. given #2701 (H,wt=16): 2796 L(K(x,x \ 1),x,y) = K(x,(y * x) \ y). [hyper(228,a,2455,a,b,2789,a(flip)),flip(a)]. given #2702 (H,wt=14): 2798 L(K(x,x \ 1),x,y) = K(x,x \ 1). [hyper(228,a,2441,a(flip),b,2796,a)]. given #2703 (H,wt=17): 2799 K(x,(y * x) \ y) \ 1 = K((y * x) \ y,x). [para(2796(a,1),2474(a,2,1)),flip(a)]. given #2704 (H,wt=13): 2802 K((x * y) \ x,y) = K(y \ 1,y). [hyper(228,a,2446,a(flip),b,2799,a(flip))]. given #2705 (H,wt=13): 2804 K(x \ (x / y),y) = K(y \ 1,y). [para(16(a,1),2802(a,1,1,1))]. given #2706 (H,wt=19): 2805 K(T(x,y) \ 1,T(x,y)) = K((x * y) \ y,T(x,y)). [para(113(a,1),2802(a,1,1,1)),flip(a)]. given #2707 (H,wt=20): 2801 L(K(x \ 1,x),1 / x,y) = K(1 / x,(1 / x) \ 1). [para(1884(a,1),2798(a,1,1))]. given #2708 (H,wt=16): 2808 L(K(x \ 1,x),1 / x,y) = K(x \ 1,x). [hyper(228,a,1884,a(flip),b,2801,a)]. given #2709 (H,wt=17): 2809 (x * (y \ 1)) / K(y \ 1,y) = x * (1 / y). [para(2808(a,1),728(a,1,2))]. given #2710 (H,wt=14): 2810 R(x,y \ 1,y) / y = x * (1 / y). [hyper(1496,a,2809,a)]. given #2711 (H,wt=13): 2815 R(x,1 / y,y) = R(x,y \ 1,y). [hyper(1008,a,2810,a),flip(a)]. given #2712 (H,wt=14): 2813 (x * (1 / y)) * y = R(x,y \ 1,y). [para(2809(a,1),1495(a,1,1))]. given #2713 (H,wt=14): 2816 R(x / (1 / y),y \ 1,y) = x * y. [hyper(501,a,2815,a),flip(a)]. given #2714 (H,wt=17): 2811 (x * K(y \ 1,y)) / (y \ 1) = x / (1 / y). [hyper(540,a,2809,a),flip(a)]. given #2715 (H,wt=17): 2812 (x * (1 / y)) * K(y \ 1,y) = x * (y \ 1). [para(2809(a,1),16(a,1,1))]. given #2716 (H,wt=12): 2821 R(x,1 / y,K(y \ 1,y)) = x. [hyper(776,a,2812,a)]. given #2717 (H,wt=14): 2822 R(x,1 / (1 / y),K(y,y \ 1)) = x. [para(1843(a,1),2821(a,1,3))]. given #2718 (H,wt=17): 2819 (x / (1 / y)) * (y \ 1) = x * K(y \ 1,y). [para(2811(a,1),16(a,1,1))]. given #2719 (H,wt=17): 2820 K(x \ 1,x) * (y * (1 / x)) = y * (x \ 1). [hyper(2361,a,2812,a)]. given #2720 (H,wt=17): 2823 (x * K(y,y \ 1)) / y = x / (1 / (1 / y)). [hyper(228,a,1865,a(flip),b,2822,a(flip)),flip(a)]. given #2721 (H,wt=17): 2824 (x * (1 / (1 / y))) * K(y,y \ 1) = x * y. [para(2822(a,1),1864(a,1,1)),flip(a)]. given #2722 (H,wt=17): 2825 (x * (y \ 1)) / (1 / y) = x * K(y \ 1,y). [hyper(228,a,1354,a,b,2819,a(flip)),flip(a)]. given #2723 (H,wt=17): 2826 (x / (y \ 1)) * K(y \ 1,y) = x / (1 / y). [hyper(228,a,1355,a(flip),b,2819,a(flip))]. given #2724 (H,wt=17): 2828 (x / y) * K(y,y \ 1) = x / (1 / (1 / y)). [hyper(228,a,1914,a(flip),b,2823,a(flip)),flip(a)]. given #2725 (H,wt=17): 2830 (x * K(y \ 1,y)) * (1 / y) = x * (y \ 1). [para(2825(a,1),16(a,1,1))]. given #2726 (H,wt=17): 2832 K(x \ 1,x) * (y / (x \ 1)) = y / (1 / x). [hyper(2361,a,2826,a)]. given #2727 (H,wt=18): 2817 R(T(x / (1 / y),z),y \ 1,y) = T(x * y,z). [hyper(228,a,573,a(flip),b,2815,a(flip))]. given #2728 (H,wt=18): 2818 ((1 / x) * K(y,x)) * x = R(K(y,x),x \ 1,x). [para(2057(a,1),2813(a,1,1))]. given #2729 (H,wt=20): 2829 x * K(y,y \ 1) != z * y | z * (1 / (1 / y)) = x. [para(2824(a,1),20(a,1)),flip(a)]. given #2730 (H,wt=20): 2831 R(x * K(y \ 1,y),y \ 1,y) = (x * (y \ 1)) * y. [para(2825(a,1),2816(a,1,1))]. given #2731 (H,wt=20): 2833 x / (1 / (1 / y)) != z * K(y,y \ 1) | x / y = z. [para(2828(a,1),20(a,1))]. given #2732 (H,wt=21): 2791 K((x \ 1) \ y,y \ (x \ 1)) = K(x * y,y \ (x \ 1)). [para(61(a,1),2787(a,1,1,1)),flip(a)]. given #2733 (H,wt=21): 2793 T(T(1 / (1 / L(x,y,z)),u),1 / x) = T(L(x,y,z),u). [para(2792(a,1),38(a,1,1)),flip(a)]. given #2734 (H,wt=21): 2795 (x / y) * K(y,y \ 1) = x * (1 / (1 / (x \ (x / y)))). [para(2448(a,1),2794(a,1,2))]. given #2735 (H,wt=19): 2838 x * (1 / (1 / (x \ (x / y)))) = x / (1 / (1 / y)). [hyper(228,a,2828,a(flip),b,2795,a(flip))]. given #2736 (H,wt=19): 2839 1 / (1 / (x \ (x / y))) = x \ (x / (1 / (1 / y))). [hyper(71,a,2828,a(flip),b,2795,a(flip)),flip(a)]. given #2737 (H,wt=19): 2840 x / (1 / (1 / (y \ x))) = x * (1 / (1 / (x \ y))). [para(61(a,1),2838(a,1,2,2,2,2)),flip(a)]. given #2738 (H,wt=19): 2841 (x / (1 / (1 / y))) / x = 1 / (1 / ((x / y) / x)). [para(2838(a,1),2381(a,1,1))]. given #2739 (H,wt=19): 2842 1 / (1 / (x \ (x / (y \ 1)))) = x \ (x / (1 / y)). [para(61(a,1),2839(a,2,2,2,2))]. given #2740 (H,wt=19): 2843 (x \ (x / (1 / (1 / y)))) \ 1 = 1 / (x \ (x / y)). [para(2839(a,1),64(a,1,1))]. given #2741 (H,wt=19): 2844 x / (1 / (1 / ((x * y) \ x))) = x * (1 / (1 / y)). [para(13(a,1),2840(a,2,2,2,2))]. given #2742 (H,wt=18): 2848 x / L(y,y \ 1,x) = x * (1 / (1 / (y \ 1))). [para(2779(a,2),2844(a,1,2))]. given #2743 (H,wt=14): 2849 x / L(y,y \ 1,x) = x * (1 / y). [para(61(a,1),2848(a,2,2,2))]. given #2744 (H,wt=14): 2850 L(x,x \ 1,y) = (y * (1 / x)) \ y. [para(2849(a,1),64(a,1,1)),flip(a)]. given #2745 (H,wt=18): 2851 K(x \ (x / L(y,y \ 1,x)),z) = K(1 / y,z). [para(2849(a,2),644(a,1,1,2))]. given #2746 (H,wt=18): 2852 L(x * T(x \ 1,y),x \ 1,y) = K(1 / x,y). [hyper(228,a,2250,a,b,2851,a(flip)),flip(a)]. given #2747 (H,wt=11): 2853 K(1 / x,y) = K(x \ 1,y). [hyper(2591,a,2852,a),flip(a)]. given #2748 (H,wt=11): 2856 K(1 / (1 / x),y) = K(x,y). [hyper(228,a,645,a(flip),b,2853,a)]. given #2749 (H,wt=11): 2857 K((x \ 1) \ 1,y) = K(x,y). [para(61(a,1),2853(a,1,1)),flip(a)]. given #2750 (H,wt=11): 2861 K(T(x,x \ 1),y) = K(x,y). [para(114(a,2),2857(a,1,1))]. given #2751 (H,wt=14): 2855 K(1 / x,y) != z | K(x \ 1,y) = z. [para(2852(a,1),2591(a,1))]. given #2752 (H,wt=14): 2862 K(x,y) != z | K((x \ 1) \ 1,y) = z. [para(61(a,1),2855(a,1,1))]. given #2753 (H,wt=17): 2860 K(L(1 / x,y,z),u) = K(L(x \ 1,y,z),u). [para(2773(a,1),2856(a,1,1))]. given #2754 (H,wt=19): 2845 (x * (1 / (1 / (x \ y)))) \ x = 1 / (1 / (y \ x)). [para(2840(a,1),64(a,1,1))]. given #2755 (H,wt=19): 2846 1 / (1 / ((x / (y \ 1)) / x)) = (x / (1 / y)) / x. [para(61(a,1),2841(a,1,1,2,2)),flip(a)]. given #2756 (H,wt=19): 2847 1 / (x \ (x / ((y \ 1) \ 1))) = (x \ (x / y)) \ 1. [para(138(a,1),2843(a,1,1,2,2)),flip(a)]. given #2757 (H,wt=19): 2859 K(T(1 / x,y) \ 1,z) = K(T(x \ 1,y) \ 1,z). [para(2319(a,1),2853(a,1,1))]. given #2758 (H,wt=19): 2863 (x * K(x \ y,y \ x)) \ y = 1 / (1 / (x \ y)). [para(2794(a,2),2845(a,1,1))]. given #2759 (H,wt=19): 2864 1 / ((x / (y \ 1)) / x) = ((x / (1 / y)) / x) \ 1. [para(2846(a,1),64(a,1,1)),flip(a)]. given #2760 (H,wt=19): 2865 ((x \ (x / y)) \ 1) \ 1 = x \ (x / ((y \ 1) \ 1)). [para(2847(a,1),64(a,1,1))]. given #2761 (H,wt=17): 2867 T(x \ (x / y),y) = x \ (x / ((y \ 1) \ 1)). [hyper(228,a,2449,a,b,2865,a(flip)),flip(a)]. given #2762 (H,wt=17): 2868 x * T(x \ (x / y),y) = x / ((y \ 1) \ 1). [para(2867(a,2),14(a,1,2))]. given #2763 (H,wt=17): 2871 (x / y) * K(y \ 1,y) = x / ((y \ 1) \ 1). [hyper(2402,a,2868,a)]. given #2764 (H,wt=17): 2872 (x * y) / ((y \ 1) \ 1) = x * K(y \ 1,y). [para(15(a,1),2871(a,1,1)),flip(a)]. given #2765 (H,wt=17): 2873 (x / ((y \ 1) \ 1)) * y = x * K(y \ 1,y). [para(2871(a,1),1490(a,1,1))]. given #2766 (H,wt=17): 2874 (1 / (x * y)) \ (y \ 1) = x * K(y \ 1,y). [hyper(319,a,2872,a)]. given #2767 (H,wt=17): 2875 (x * K(y \ 1,y)) * ((y \ 1) \ 1) = x * y. [para(2872(a,1),16(a,1,1))]. given #2768 (H,wt=17): 2877 (x * ((y \ 1) \ 1)) * K(y \ 1,y) = x * y. [para(15(a,1),2873(a,1,1)),flip(a)]. given #2769 (H,wt=17): 2878 (x / T(y,y \ 1)) * y = x * K(y \ 1,y). [para(114(a,2),2873(a,1,1,2))]. given #2770 (H,wt=17): 2879 (x * T(y,y \ 1)) * K(y \ 1,y) = x * y. [para(620(a,1),2873(a,1,1)),flip(a)]. given #2771 (H,wt=17): 2883 (K(x \ 1,x) * y) * ((x \ 1) \ 1) = y * x. [para(2353(a,2),2875(a,1,1))]. given #2772 (H,wt=17): 2885 K(x,y) * K(y \ 1,y) = (y \ K(x,y)) * y. [para(2634(a,1),2878(a,1,1)),flip(a)]. given #2773 (H,wt=17): 2886 K(x \ 1,x) * (y * T(x,x \ 1)) = y * x. [hyper(2361,a,2879,a)]. given #2774 (H,wt=17): 2889 K(x \ 1,x) * K(y,x) = (x \ K(y,x)) * x. [hyper(2361,a,2885,a)]. given #2775 (H,wt=18): 2884 (x * (y \ 1)) * ((y \ 1) \ 1) = R(x,y \ 1,y). [hyper(18,a,487,a,b,2877,a)]. given #2776 (H,wt=18): 2890 R(x \ y,y \ 1,y) = (x \ 1) * ((y \ 1) \ 1). [para(119(a,1),2884(a,1,1)),flip(a)]. given #2777 (H,wt=19): 2866 x * (((x \ (x / y)) \ 1) \ 1) = x / ((y \ 1) \ 1). [para(2847(a,1),140(a,1,2,1))]. given #2778 (H,wt=19): 2869 T(x \ (x / (1 / y)),1 / y) = x \ (x / (y \ 1)). [para(64(a,1),2867(a,2,2,2,1))]. given #2779 (H,wt=19): 2870 x * (y \ (y / ((x \ 1) \ 1))) = (y \ (y / x)) * x. [para(2867(a,1),113(a,1,2))]. given #2780 (H,wt=19): 2891 R(T(x,y) \ x,x \ 1,x) != z | T(x,y) \ x = z. [para(2890(a,2),2384(a,1))]. given #2781 (H,wt=19): 2892 x / (((y \ x) \ 1) \ 1) = x * (((x \ y) \ 1) \ 1). [para(61(a,1),2866(a,1,2,1,1,2)),flip(a)]. given #2782 (H,wt=20): 2881 x * ((y \ 1) \ 1) != z * y | z * K(y \ 1,y) = x. [para(2875(a,1),20(a,1)),flip(a)]. given #2783 (H,wt=20): 2882 (x * K(y \ 1,y)) * ((y \ 1) \ 1) != z * y | z = x. [para(2875(a,2),20(a,2)),flip(a)]. given #2784 (H,wt=20): 2887 x * ((y \ 1) \ 1) != z * y | K(y \ 1,y) * z = x. [para(2883(a,1),20(a,1)),flip(a)]. given #2785 (H,wt=20): 2888 (K(x \ 1,x) * y) * ((x \ 1) \ 1) != z * x | z = y. [para(2883(a,2),20(a,2)),flip(a)]. given #2786 (H,wt=21): 2797 (x * y) * K(y,(x * y) \ x) = x * T(y,(x * y) \ x). [para(2789(a,1),1389(a,1,2))]. given #2787 (H,wt=19): 2893 (x * y) * K(y,y \ 1) = x * T(y,(x * y) \ x). [para(2441(a,1),2797(a,1,2))]. given #2788 (H,wt=17): 2894 (x * y) * K(y,y \ 1) = x * ((y \ 1) \ 1). [para(2432(a,1),2893(a,2,2))]. given #2789 (H,wt=17): 2895 (x * y) * K(y,y \ 1) = x * T(y,y \ 1). [para(2434(a,1),2893(a,2,2))]. given #2790 (H,wt=17): 2897 K(x,x \ 1) * (y * x) = y * ((x \ 1) \ 1). [hyper(2343,a,2894,a)]. given #2791 (H,wt=17): 2898 (x / y) * ((y \ 1) \ 1) = x * K(y,y \ 1). [hyper(300,a,2894,a),flip(a)]. given #2792 (H,wt=17): 2899 (x * K(y,y \ 1)) * y = x * ((y \ 1) \ 1). [hyper(228,a,1900,a,b,2894,a(flip)),flip(a)]. given #2793 (H,wt=15): 2908 (K(x \ 1,x) * y) * K(x,x \ 1) = y. [hyper(18,a,2883,a(flip),b,2899,a)]. given #2794 (H,wt=15): 2909 (x * K(y \ 1,y)) * K(y,y \ 1) = x. [hyper(18,a,2875,a(flip),b,2899,a)]. given #2795 (H,wt=15): 2910 K(x \ 1,x) * (y * K(x,x \ 1)) = y. [hyper(2887,a,2899,a(flip))]. given #2796 (H,wt=15): 2911 (x * K(y,y \ 1)) * K(y \ 1,y) = x. [hyper(2881,a,2899,a(flip))]. given #2797 (H,wt=15): 2913 K(x,x \ 1) * (K(x \ 1,x) * y) = y. [hyper(2343,a,2908,a)]. given #2798 (H,wt=15): 2914 (K(x \ 1,x) * y) \ y = K(x,x \ 1). [hyper(77,a,2908,a)]. given #2799 (H,wt=15): 2915 K(x \ 1,x) * (K(x,x \ 1) * y) = y. [hyper(18,a,2341,a(flip),b,2908,a)]. given #2800 (H,wt=15): 2923 K(x,x \ 1) * (y * K(x \ 1,x)) = y. [hyper(2343,a,2909,a)]. given #2801 (H,wt=15): 2926 (K(x,x \ 1) * y) * K(x \ 1,x) = y. [hyper(18,a,2341,a(flip),b,2909,a)]. given #2802 (H,wt=15): 2930 K(x \ 1,x) \ y = K(x,x \ 1) * y. [hyper(302,a,2913,a),flip(a)]. given #2803 (H,wt=17): 2902 K(x,x \ 1) * (y * x) = y * T(x,x \ 1). [hyper(2343,a,2895,a)]. given #2804 (H,wt=17): 2903 (x / y) * T(y,y \ 1) = x * K(y,y \ 1). [hyper(300,a,2895,a),flip(a)]. given #2805 (H,wt=17): 2904 (K(x,x \ 1) * y) * x = y * ((x \ 1) \ 1). [hyper(2219,a,2897,a)]. given #2806 (H,wt=17): 2907 (x / T(y,y \ 1)) * K(y,y \ 1) = x / y. [hyper(72,a,314,a(flip),b,2899,a),flip(a)]. given #2807 (H,wt=17): 2912 K(x \ 1,x) * (y * x) = y * (1 / (1 / x)). [hyper(2829,a,2908,a),flip(a)]. given #2808 (H,wt=17): 2920 (x * (y \ 1)) * K(y,y \ 1) = x * (1 / y). [para(2820(a,1),2908(a,1,1))]. given #2809 (H,wt=14): 2944 (x * y) * (y \ 1) = R(x,y,1 / y). [hyper(18,a,1848,a,b,2920,a)]. given #2810 (H,wt=13): 2946 R(x,y,1 / y) = R(x,y,y \ 1). [hyper(491,a,2944,a),flip(a)]. given #2811 (H,wt=16): 2947 R(x,y,1 / y) != z | R(x,y,y \ 1) = z. [para(2944(a,1),491(a,1))]. given #2812 (H,wt=17): 2921 (x / (1 / y)) * K(y,y \ 1) = x / (y \ 1). [para(2832(a,1),2908(a,1,1))]. given #2813 (H,wt=17): 2922 (x * y) * K(y \ 1,y) = x * (1 / (1 / y)). [hyper(2829,a,2909,a),flip(a)]. given #2814 (H,wt=17): 2925 (x / (1 / (1 / y))) * K(y \ 1,y) = x / y. [hyper(18,a,2828,a,b,2909,a)]. given #2815 (H,wt=17): 2932 K(x,x \ 1) * (y * (x \ 1)) = y * (1 / x). [para(2820(a,1),2913(a,1,2))]. given #2816 (H,wt=17): 2933 K(x,x \ 1) * (y / (1 / x)) = y / (x \ 1). [para(2832(a,1),2913(a,1,2))]. given #2817 (H,wt=17): 2941 (x \ K(y,x)) * K(x,x \ 1) = K(y,x) / x. [para(2634(a,1),2907(a,1,1))]. given #2818 (H,wt=17): 2943 (x / (y \ 1)) * (1 / y) = x * K(y,y \ 1). [hyper(300,a,2920,a),flip(a)]. given #2819 (H,wt=17): 2948 R(x,1 / y,1 / (1 / y)) = R(x,1 / y,y). [para(64(a,1),2946(a,2,3))]. given #2820 (H,wt=17): 2950 K(x,x \ 1) * (y \ 1) = (y \ x) * (1 / x). [para(119(a,1),2932(a,1,2))]. given #2821 (H,wt=17): 2952 K(x,y) * K(y,y \ 1) = y * (K(x,y) / y). [para(2941(a,1),2209(a,1,2)),flip(a)]. given #2822 (H,wt=17): 2953 R(x,1 / y,1 / (1 / y)) = R(x,y \ 1,y). [hyper(228,a,2815,a(flip),b,2948,a)]. given #2823 (H,wt=17): 2954 R(x,1 / y,(1 / y) \ 1) = R(x,y \ 1,y). [hyper(2947,a,2953,a)]. given #2824 (H,wt=18): 2916 K(x \ 1,x) * (y / (x * y)) = R(x \ 1,x,y). [hyper(18,a,1959,a(flip),b,2908,a)]. given #2825 (H,wt=13): 2955 K(x / (y * x),y) = K(y \ 1,y). [hyper(18,a,1953,a,b,2916,a),flip(a)]. given #2826 (H,wt=17): 2956 K((x / y) \ 1,x / y) = K(y / x,x / y). [para(16(a,1),2955(a,1,1,2)),flip(a)]. given #2827 (H,wt=18): 2917 x * K(y,y \ 1) != z | K(y \ 1,y) * z = x. [para(2908(a,1),20(a,1)),flip(a)]. given #2828 (H,wt=18): 2919 K(x,x \ 1) * y != z | K(x \ 1,x) * z = y. [para(2908(a,1),2346(a,2))]. given #2829 (H,wt=18): 2927 K(x,x \ 1) * y != z | z * K(x \ 1,x) = y. [para(2909(a,1),2346(a,2))]. given #2830 (H,wt=18): 2928 K(x \ 1,x) * y != z | z * K(x,x \ 1) = y. [para(2910(a,1),19(a,1)),flip(a)]. given #2831 (H,wt=18): 2934 K(x \ 1,x) * y != z | K(x,x \ 1) * z = y. [para(2915(a,1),19(a,1)),flip(a)]. given #2832 (H,wt=18): 2936 x * K(y \ 1,y) != z | K(y,y \ 1) * z = x. [para(2915(a,1),2357(a,1)),flip(a),flip(b)]. given #2833 (H,wt=19): 2906 (T(x,y) \ 1) * K(x,x \ 1) = (T(x,y) \ x) / x. [hyper(72,a,2383,a(flip),b,2899,a),flip(a)]. given #2834 (H,wt=13): 2960 K(x,T(x,y) \ 1) = K(x,x \ 1). [hyper(17,a,2096,a,b,2906,a),flip(a)]. given #2835 (H,wt=15): 2961 T(K(x,x \ 1),y) = K(x,T(x,z) \ 1). [hyper(228,a,2338,a,b,2960,a),flip(a)]. given #2836 (H,wt=19): 2924 (x / y) * y = (x * K(z,z \ 1)) * K(z \ 1,z). [hyper(236,a,2909,a)]. given #2837 (H,wt=19): 2949 (x / (1 / (1 / y))) / (1 / y) = (x / y) / (y \ 1). [hyper(72,a,2925,a(flip),b,2819,a),flip(a)]. given #2838 (H,wt=20): 2918 ((x \ 1) * (x * y)) * K(x,x \ 1) = L(y,x,x \ 1). [para(455(a,1),2908(a,1,1))]. given #2839 (H,wt=20): 2931 K(x \ 1,x) \ 1 != y * z | y \ K(x,x \ 1) = z. [para(2913(a,1),373(a,1))]. given #2840 (H,wt=20): 2935 K(x,x \ 1) \ 1 != y * z | y \ K(x \ 1,x) = z. [para(2915(a,1),373(a,1))]. given #2841 (H,wt=21): 2807 K((x * y) \ y,y \ (x * y)) = K(T(x,y) \ 1,T(x,y)). [para(32(a,1),2805(a,2,2)),flip(a)]. given #2842 (H,wt=17): 2966 K((x * y) \ y,y \ (x * y)) = K(x \ 1,x). [hyper(228,a,2652,a(flip),b,2807,a)]. given #2843 (H,wt=21): 2942 K(x \ 1,x) * (y * T(x,z)) = y * (1 / (1 / T(x,z))). [para(2537(a,1),2912(a,1,1))]. given #2844 (H,wt=21): 2958 K((x / (y * x)) \ 1,x / (y * x)) = K(y,x / (y * x)). [para(15(a,1),2956(a,2,1))]. given #2845 (H,wt=19): 2971 K((x / (y * x)) \ 1,x / (y * x)) = K(y,y \ 1). [hyper(228,a,2728,a(flip),b,2958,a)]. given #2846 (H,wt=17): 2973 K(x,x \ 1) * (x * y) = T(x,x \ 1) * y. [para(2971(a,1),1908(a,1,1))]. given #2847 (H,wt=10): 2977 L(x,y,K(y,y \ 1)) = x. [hyper(1817,a,2973,a(flip))]. given #2848 (H,wt=12): 2984 L(x,1 / y,K(y \ 1,y)) = x. [para(1884(a,1),2977(a,1,3))]. given #2849 (H,wt=14): 2983 L(x,K(y,y \ 1),1 / (1 / y)) = x. [hyper(228,a,1967,a(flip),b,2977,a(flip)),flip(a)]. given #2850 (H,wt=14): 2986 L(x,1 / (1 / y),K(y,y \ 1)) = x. [para(1843(a,1),2984(a,1,3))]. given #2851 (H,wt=14): 2988 L(x \ y,x,x \ 1) = (1 / x) * y. [para(2984(a,1),1968(a,1,1,2))]. given #2852 (H,wt=14): 2993 (1 / x) * (x * y) = L(y,x,x \ 1). [para(13(a,1),2988(a,1,1)),flip(a)]. given #2853 (H,wt=14): 2998 (1 / x) \ L(y,x,x \ 1) = x * y. [hyper(77,a,2993,a)]. given #2854 (H,wt=15): 2997 T(x,(1 / x) * y) = T(x,(x \ 1) * y). [para(2988(a,1),2230(a,1,2))]. given #2855 (H,wt=16): 2994 L(T(x,y),y,y \ 1) = (1 / y) * (x * y). [para(32(a,2),2988(a,1,1))]. given #2856 (H,wt=17): 2974 (x * y) * K(x,x \ 1) = T(x,x \ 1) * y. [hyper(2347,a,2973,a)]. given #2857 (H,wt=17): 2975 T(x,x \ 1) \ (K(x,x \ 1) * y) = x \ y. [hyper(558,a,2973,a)]. given #2858 (H,wt=17): 2976 K(x,x \ 1) * (x * y) = ((x \ 1) \ 1) * y. [hyper(228,a,245,a(flip),b,2973,a)]. given #2859 (H,wt=17): 2978 x * (K(x,x \ 1) * y) = T(x,x \ 1) * y. [hyper(228,a,1932,a(flip),b,2973,a(flip)),flip(a)]. given #2860 (H,wt=17): 2979 (T(x,x \ 1) * y) / (K(x,x \ 1) * y) = x. [hyper(72,a,2973,a(flip),b,1932,a(flip))]. given #2861 (H,wt=10): 3011 R(x,K(x,x \ 1),y) = x. [hyper(778,a,2979,a)]. given #2862 (H,wt=14): 3012 R(1 / x,K(x \ 1,x),y) = 1 / x. [para(1884(a,1),3011(a,1,2))]. given #2863 (H,wt=17): 2982 K(x,x \ 1) * (((x \ 1) \ 1) \ y) = x \ y. [hyper(228,a,2291,a(flip),b,2977,a(flip)),flip(a)]. given #2864 (H,wt=17): 2985 K(x \ 1,x) * ((x \ 1) \ y) = (1 / x) \ y. [hyper(228,a,1972,a(flip),b,2984,a(flip)),flip(a)]. given #2865 (H,wt=17): 2987 K(x \ 1,x) * ((1 / x) * y) = (x \ 1) * y. [para(2984(a,1),1810(a,1,2)),flip(a)]. given #2866 (H,wt=17): 2990 (1 / (1 / x)) * (K(x,x \ 1) * y) = x * y. [para(2983(a,1),1863(a,1,2)),flip(a)]. given #2867 (H,wt=17): 2991 x \ (K(x,x \ 1) * y) = (1 / (1 / x)) \ y. [hyper(228,a,2070,a(flip),b,2986,a(flip)),flip(a)]. given #2868 (H,wt=17): 2992 K(x,x \ 1) * ((1 / (1 / x)) * y) = x * y. [para(2986(a,1),2069(a,1,2)),flip(a)]. given #2869 (H,wt=17): 3001 (1 / x) * (x * y) != z | L(y,x,x \ 1) = z. [para(2998(a,1),213(a,1,2)),flip(b)]. given #2870 (H,wt=17): 3003 (x * y) * K(x,x \ 1) = ((x \ 1) \ 1) * y. [hyper(228,a,245,a(flip),b,2974,a)]. given #2871 (H,wt=17): 3004 x * (y * K(x,x \ 1)) = T(x,x \ 1) * y. [hyper(228,a,2211,a(flip),b,2974,a(flip)),flip(a)]. given #2872 (H,wt=17): 3006 ((x \ 1) \ 1) \ (K(x,x \ 1) * y) = x \ y. [para(114(a,1),2975(a,1,1))]. given #2873 (H,wt=17): 3007 ((x \ 1) \ 1) * (x \ y) = K(x,x \ 1) * y. [para(2975(a,1),312(a,1,2))]. given #2874 (H,wt=17): 3008 x \ (y * K(x \ 1,x)) = T(x,x \ 1) \ y. [para(2923(a,1),2975(a,1,2)),flip(a)]. given #2875 (H,wt=17): 3009 K(x \ 1,x) * (((x \ 1) \ 1) * y) = x * y. [hyper(2919,a,2976,a)]. given #2876 (H,wt=17): 3010 K(x,x \ 1) * T(x \ 1,y) = T(1 / x,y). [hyper(17,a,2584,a(flip),b,2978,a)]. given #2877 (H,wt=17): 3014 (x \ y) * K(x \ 1,x) = ((x \ 1) \ 1) \ y. [hyper(2927,a,2982,a)]. given #2878 (H,wt=17): 3015 K(x \ 1,x) * (x \ y) = ((x \ 1) \ 1) \ y. [hyper(2919,a,2982,a)]. given #2879 (H,wt=17): 3016 (((x \ 1) \ 1) \ y) * K(x,x \ 1) = x \ y. [hyper(2347,a,2982,a)]. given #2880 (H,wt=17): 3019 K(x,x \ 1) * ((1 / x) \ y) = (x \ 1) \ y. [hyper(2934,a,2985,a)]. given #2881 (H,wt=17): 3020 ((1 / x) \ y) * K(x,x \ 1) = (x \ 1) \ y. [hyper(2928,a,2985,a)]. given #2882 (H,wt=17): 3021 ((x \ 1) \ y) * K(x \ 1,x) = (1 / x) \ y. [hyper(2358,a,2985,a)]. given #2883 (H,wt=17): 3023 (1 / x) \ ((x \ 1) * y) = K(x \ 1,x) * y. [para(13(a,1),2985(a,1,2)),flip(a)]. given #2884 (H,wt=17): 3024 (x \ 1) * ((1 / x) \ y) = K(x \ 1,x) * y. [para(2985(a,1),1970(a,1,2))]. given #2885 (H,wt=17): 3025 K(x,x \ 1) * ((x \ 1) * y) = (1 / x) * y. [hyper(2934,a,2987,a)]. given #2886 (H,wt=14): 3056 x \ L(y,1 / x,x) = (x \ 1) * y. [hyper(1937,a,3025,a)]. given #2887 (H,wt=13): 3059 L(x,1 / y,y) = L(x,y \ 1,y). [hyper(993,a,3056,a)]. given #2888 (H,wt=17): 3026 ((x \ 1) * y) * K(x,x \ 1) = (1 / x) * y. [hyper(2928,a,2987,a)]. given #2889 (H,wt=17): 3027 ((1 / x) * y) * K(x \ 1,x) = (x \ 1) * y. [hyper(2358,a,2987,a)]. given #2890 (H,wt=17): 3033 K(x,x \ 1) * (x \ y) = (1 / (1 / x)) \ y. [hyper(71,a,14,a(flip),b,2990,a),flip(a)]. given #2891 (H,wt=17): 3034 x * (K(x \ 1,x) * y) = (1 / (1 / x)) * y. [para(2913(a,1),2990(a,1,2)),flip(a)]. given #2892 (H,wt=17): 3036 x * ((1 / (1 / x)) \ y) = K(x,x \ 1) * y. [para(2991(a,1),14(a,1,2))]. given #2893 (H,wt=17): 3037 (x * y) * K(x \ 1,x) = (1 / (1 / x)) * y. [hyper(2927,a,2992,a)]. given #2894 (H,wt=17): 3039 x * (y * K(x,x \ 1)) = ((x \ 1) \ 1) * y. [hyper(228,a,2211,a(flip),b,3003,a(flip)),flip(a)]. given #2895 (H,wt=17): 3041 x \ (K(x \ 1,x) * y) = ((x \ 1) \ 1) \ y. [para(2913(a,1),3006(a,1,2)),flip(a)]. given #2896 (H,wt=17): 3042 ((x \ 1) \ 1) * (K(x \ 1,x) * y) = x * y. [hyper(1308,a,3009,a),flip(a)]. given #2897 (H,wt=17): 3044 ((x \ 1) \ 1) \ (x * y) = y * K(x \ 1,x). [para(13(a,1),3014(a,1,1)),flip(a)]. given #2898 (H,wt=17): 3045 x * T(x \ (y \ x),y) = ((y \ 1) \ 1) \ x. [hyper(228,a,1168,a(flip),b,3015,a(flip)),flip(a)]. given #2899 (H,wt=17): 3048 (1 / x) \ ((x \ 1) * (K(x,x \ 1) * y)) = y. [hyper(17,a,13,a(flip),b,3019,a)]. given #2900 (H,wt=17): 3050 (x \ 1) \ ((1 / x) * y) = K(x,x \ 1) * y. [para(13(a,1),3019(a,1,2)),flip(a)]. given #2901 (H,wt=17): 3053 (1 / x) * (K(x \ 1,x) * y) = (x \ 1) * y. [para(3023(a,1),14(a,1,2))]. given #2902 (H,wt=17): 3054 (x \ 1) * ((1 / x) \ y) = y * K(x \ 1,x). [hyper(228,a,2353,a(flip),b,3024,a)]. given #2903 (H,wt=17): 3060 L(x,(y \ 1) \ 1,y \ 1) = L(x,y,y \ 1). [para(61(a,1),3059(a,1,2)),flip(a)]. given #2904 (H,wt=17): 3063 (x \ y) * K(x,x \ 1) = (1 / (1 / x)) \ y. [hyper(2347,a,3033,a)]. given #2905 (H,wt=17): 3064 K(x,1 / x) * (x \ y) = (1 / (1 / x)) \ y. [para(1839(a,2),3033(a,1,1))]. given #2906 (H,wt=17): 3066 (1 / (1 / x)) * (x \ y) = K(x \ 1,x) * y. [hyper(1309,a,3034,a),flip(a)]. given #2907 (H,wt=17): 3069 x * (1 / ((y \ 1) * x)) = K(x,x \ 1) * y. [para(323(a,2),3036(a,1,2))]. given #2908 (H,wt=17): 3070 (1 / (1 / x)) * (x \ y) = y * K(x \ 1,x). [hyper(542,a,3037,a),flip(a)]. given #2909 (H,wt=17): 3075 (x \ 1) * (K(x,x \ 1) * y) = (1 / x) * y. [para(3048(a,1),14(a,1,2)),flip(a)]. given #2910 (H,wt=17): 3077 (1 / x) * (y * K(x \ 1,x)) = (x \ 1) * y. [hyper(228,a,2369,a(flip),b,3053,a(flip)),flip(a)]. given #2911 (H,wt=17): 3079 (x \ 1) * (y * K(x,x \ 1)) = (1 / x) * y. [para(2910(a,1),3053(a,1,2)),flip(a)]. given #2912 (H,wt=17): 3080 (1 / x) * K(y \ 1,y) = (y \ 1) * (y / x). [para(320(a,1),3054(a,1,2)),flip(a)]. given #2913 (H,wt=17): 3084 (1 / x) * (y * K(1 / x,x)) = (x \ 1) * y. [para(1885(a,2),3077(a,1,2,2))]. given #2914 (H,wt=17): 3086 (x \ 1) * (y * K(x,1 / x)) = (1 / x) * y. [para(1839(a,2),3079(a,1,2,2))]. given #2915 (H,wt=15): 3088 (x * K(1 / y,y)) * K(y,1 / y) = x. [hyper(17,a,3084,a(flip),b,3086,a)]. given #2916 (H,wt=15): 3089 x / K(y,1 / y) = x * K(1 / y,y). [hyper(85,a,3088,a)]. given #2917 (H,wt=18): 2996 x * ((1 / x) * (y * x)) = L(y,x,x \ 1) * x. [para(2988(a,1),586(a,1,2))]. given #2918 (H,wt=18): 3000 (1 / (1 / x)) \ L(y,1 / x,x) = (1 / x) * y. [para(64(a,1),2998(a,1,2,3))]. given #2919 (H,wt=18): 3081 L(((x \ 1) \ 1) \ y,x,x \ 1) = (x \ 1) * y. [hyper(468,a,3060,a),flip(a)]. given #2920 (H,wt=19): 3002 T(x \ 1,((x \ 1) \ 1) * y) = T(x \ 1,x * y). [para(61(a,1),2997(a,1,2,1)),flip(a)]. given #2921 (H,wt=19): 3018 (((x \ 1) \ 1) \ y) * ((x \ 1) \ 1) = (x \ y) * x. [para(2982(a,1),2904(a,1,1)),flip(a)]. given #2922 (H,wt=19): 3032 K(x \ 1,x) * K(y,x) = (x \ 1) * (x * K(y,x)). [para(2524(a,1),2987(a,1,2))]. given #2923 (H,wt=19): 3049 ((x \ 1) \ 1) \ ((x \ 1) \ y) = x \ ((1 / x) \ y). [hyper(71,a,3019,a(flip),b,3007,a)]. given #2924 (H,wt=19): 3051 ((x \ 1) \ K(y,x)) * K(x \ 1,x) = x * K(y,x). [hyper(228,a,2525,a(flip),b,3021,a)]. given #2925 (H,wt=19): 3052 ((1 / x) \ y) * (1 / x) = ((x \ 1) \ y) * (x \ 1). [para(3021(a,1),2830(a,1,1))]. given #2926 (H,wt=19): 3062 ((1 / x) * y) / (1 / x) = ((x \ 1) * y) / (x \ 1). [hyper(72,a,3026,a(flip),b,2943,a)]. given #2927 (H,wt=19): 3065 ((1 / (1 / x)) \ y) * x = (x \ y) * ((x \ 1) \ 1). [para(3033(a,1),2904(a,1,1))]. given #2928 (H,wt=19): 3068 (1 / (1 / x)) * K(y,x) = x * ((x \ K(y,x)) * x). [para(2889(a,1),3034(a,1,2)),flip(a)]. given #2929 (H,wt=19): 3072 ((1 / (1 / x)) * y) * (1 / x) = (x * y) * (x \ 1). [para(3037(a,1),2830(a,1,1))]. given #2930 (H,wt=19): 3074 x * (((x \ (y \ x)) \ 1) \ 1) = ((y \ 1) \ 1) \ x. [para(2401(a,1),3045(a,1,2))]. given #2931 (H,wt=19): 3082 ((1 / (1 / x)) \ y) / (1 / x) = (x \ y) / (x \ 1). [hyper(72,a,3063,a(flip),b,2943,a)]. given #2932 (H,wt=19): 3083 (1 / (1 / x)) * (x \ (y * x)) = y * (1 / (1 / x)). [hyper(228,a,2912,a(flip),b,3066,a)]. given #2933 (H,wt=17): 3100 (1 / (1 / x)) * T(y,x) = y * (1 / (1 / x)). [para(32(a,2),3083(a,1,2))]. given #2934 (H,wt=11): 3101 T(x,1 / (1 / y)) = T(x,y). [hyper(372,a,3100,a),flip(a)]. given #2935 (H,wt=11): 3102 T(x,1 / y) = T(x,y \ 1). [para(61(a,1),3101(a,1,2,2))]. given #2936 (H,wt=11): 3103 T(x,(y \ 1) \ 1) = T(x,y). [para(138(a,1),3101(a,1,2)),flip(a)]. given #2937 (H,wt=15): 3106 (1 / x) * T(y,x \ 1) = y * (1 / x). [para(3102(a,1),113(a,1,2))]. given #2938 (H,wt=17): 3107 ((x \ 1) \ 1) * T(y,x) = y * ((x \ 1) \ 1). [para(3103(a,1),113(a,1,2))]. given #2939 (H,wt=19): 3095 ((x \ (y \ x)) \ 1) \ 1 = x \ (((y \ 1) \ 1) \ x). [hyper(77,a,3074,a),flip(a)]. given #2940 (H,wt=19): 3096 (((x \ 1) \ 1) \ y) / y = (((x \ y) / y) \ 1) \ 1. [hyper(72,a,3074,a(flip),b,2333,a)]. given #2941 (H,wt=19): 3097 (((x / y) \ 1) \ 1) \ x = x * (((x \ y) \ 1) \ 1). [para(64(a,1),3074(a,1,2,1,1,2)),flip(a)]. given #2942 (H,wt=19): 3104 x * (((x \ 1) \ y) * (x \ 1)) = T(x * y,1 / x). [hyper(228,a,948,a,b,3102,a),flip(a)]. given #2943 (H,wt=19): 3111 ((((1 / x) \ y) / y) \ 1) \ 1 = ((x \ 1) \ y) / y. [para(64(a,1),3096(a,1,1,1,1)),flip(a)]. given #2944 (H,wt=19): 3112 x / (x * (((x \ y) \ 1) \ 1)) = ((x / y) \ 1) \ 1. [para(3097(a,1),61(a,1,2))]. given #2945 (H,wt=19): 3113 x * (((1 / x) \ y) * (1 / x)) = T(x * y,1 / x). [para(3052(a,2),3104(a,1,2))]. given #2946 (H,wt=19): 3114 x / (x * ((y \ 1) \ 1)) = ((x / (x * y)) \ 1) \ 1. [para(13(a,1),3112(a,1,2,2,1,1))]. given #2947 (H,wt=17): 3117 T(x / (x * y),y) = x / (x * ((y \ 1) \ 1)). [hyper(228,a,2462,a,b,3114,a),flip(a)]. given #2948 (H,wt=17): 3118 x / (x * T(y,y \ 1)) = T(x / (x * y),y). [para(114(a,2),3117(a,2,2,2)),flip(a)]. given #2949 (H,wt=17): 3119 T(x / (x * y),y) \ x = x * T(y,y \ 1). [para(3118(a,1),64(a,1,1))]. given #2950 (H,wt=19): 3115 x / ((((y / x) \ 1) \ 1) * x) = ((x / y) \ 1) \ 1. [para(2333(a,2),3112(a,1,2))]. given #2951 (H,wt=19): 3116 x \ T(x * y,1 / x) = ((1 / x) \ y) * (1 / x). [hyper(77,a,3113,a)]. given #2952 (H,wt=19): 3120 x / (((y \ 1) \ 1) * x) = ((x / (y * x)) \ 1) \ 1. [para(15(a,1),3115(a,1,2,1,1,1))]. given #2953 (H,wt=20): 2980 T(x,x \ 1) * y != z * K(x,x \ 1) | x * y = z. [para(2973(a,1),2346(a,1)),flip(b)]. given #2954 (H,wt=20): 3031 (x \ 1) * y != z * K(x \ 1,x) | (1 / x) * y = z. [para(2987(a,1),2357(a,1)),flip(b)]. given #2955 (H,wt=20): 3040 ((x \ 1) \ 1) * y != (x * y) * z | K(x,x \ 1) = z. [para(3003(a,1),19(a,1))]. given #2956 (H,wt=20): 3043 x * K(y \ 1,y) != y * z | ((y \ 1) \ 1) * z = x. [para(3009(a,1),2357(a,1)),flip(a),flip(b)]. given #2957 (H,wt=17): 3121 ((x \ 1) \ 1) * K(y,x) = (x \ 1) \ K(y,x). [hyper(3043,a,3051,a)]. given #2958 (H,wt=19): 3122 x * (K(y,x) * K(x,x \ 1)) = (x \ 1) \ K(y,x). [hyper(228,a,3039,a,b,3121,a(flip)),flip(a)]. given #2959 (H,wt=17): 3123 x * (x * (K(y,x) / x)) = (x \ 1) \ K(y,x). [para(2952(a,1),3122(a,1,2))]. given #2960 (H,wt=20): 3046 ((x \ 1) \ 1) \ y != z | (x \ y) * K(x \ 1,x) = z. [para(3015(a,1),2358(a,1))]. given #2961 (H,wt=20): 3076 L(K(x,x \ 1) * y,x \ 1,x) = x * ((1 / x) * y). [para(3050(a,1),460(a,1,1))]. given #2962 (H,wt=20): 3078 (x \ 1) * y != (1 / x) * z | K(x \ 1,x) * y = z. [para(3053(a,1),19(a,1))]. given #2963 (H,wt=20): 3087 (x \ 1) * y != (1 / x) * (z * K(1 / x,x)) | y = z. [para(3084(a,2),19(a,2))]. given #2964 (H,wt=20): 3091 L(x * K(y \ 1,y),y,y \ 1) = (y \ 1) * (y * x). [para(3044(a,1),3081(a,1,1))]. given #2965 (H,wt=21): 2964 T(K(T(x,y),1 / x),z) = K(T(x,y),T(T(x,y),u) \ 1). [para(2314(a,1),2961(a,1,1))]. given #2966 (H,wt=21): 2968 (x * y) * ((((x * y) \ y) \ 1) \ 1) = y * K(x \ 1,x). [para(2966(a,1),2790(a,1,2)),flip(a)]. given #2967 (H,wt=21): 2969 ((x * y) * K(x \ 1,x)) \ y = 1 / (1 / ((x * y) \ y)). [para(2966(a,1),2863(a,1,1,2))]. given #2968 (H,wt=19): 3127 1 / (1 / ((x * y) \ y)) = ((1 / (1 / x)) * y) \ y. [para(3037(a,1),2969(a,1,1)),flip(a)]. given #2969 (H,wt=19): 3128 (((1 / (1 / x)) * y) \ y) \ 1 = 1 / ((x * y) \ y). [para(3127(a,1),64(a,1,1))]. given #2970 (H,wt=19): 3129 1 / (((x \ 1) * y) \ y) = (((1 / x) * y) \ y) \ 1. [para(61(a,1),3128(a,1,1,1,1,2)),flip(a)]. given #2971 (H,wt=19): 3130 ((((1 / x) * y) \ y) \ 1) \ 1 = ((x \ 1) * y) \ y. [para(3129(a,1),64(a,1,1))]. given #2972 (H,wt=19): 3131 K(((1 / x) * y) \ y,z) = K(((x \ 1) * y) \ y,z). [para(3130(a,1),2857(a,1,1)),flip(a)]. given #2973 (H,wt=21): 2970 K(x \ 1,x) * (y * T(x,z)) = y * T(1 / (1 / x),z). [para(2324(a,1),2942(a,2,2))]. given #2974 (H,wt=21): 2995 L((x \ 1) * y,x,x \ 1) = (1 / x) * L(y,x \ 1,x). [para(396(a,1),2988(a,1,1))]. given #2975 (H,wt=21): 3047 K(x \ 1,x) * (T(x,y) \ z) = ((T(x,y) \ 1) \ 1) \ z. [para(2537(a,1),3015(a,1,1))]. given #2976 (H,wt=21): 3067 T(x,y) * (K(x \ 1,x) * z) = (1 / (1 / T(x,y))) * z. [para(2537(a,1),3034(a,1,2,1))]. given #2977 (H,wt=21): 3073 (x \ 1) \ (K(x,x \ 1) * y) = (((x \ 1) \ 1) \ 1) \ y. [para(813(a,1),3041(a,1,2,1))]. given #2978 (H,wt=21): 3085 (x \ 1) * (x * (1 / T(x,y))) = (1 / x) * (T(x,y) \ x). [para(2612(a,1),3077(a,1,2)),flip(a)]. given #2979 (H,wt=21): 3126 K(T(x,y),T(T(x,y),z) \ 1) = K(T(x,y),1 / T(x,u)). [hyper(228,a,2307,a,b,2964,a(flip))]. given #2980 (H,wt=19): 3139 K(T(x,y),T(x,y) \ 1) = K(T(x,y),1 / T(x,z)). [hyper(228,a,2960,a(flip),b,3126,a(flip)),flip(a)]. given #2981 (H,wt=17): 3140 K(T(x,y),T(x,y) \ 1) = K(T(x,y),x \ 1). [para(199(a,1),3139(a,2,2))]. given #2982 (H,wt=15): 3141 K(T(x,y),1 / x) = K(T(x,y),x \ 1). [hyper(228,a,2314,a(flip),b,3140,a(flip)),flip(a)]. given #2983 (H,wt=21): 3135 K(x \ 1,x) * (T(x,y) \ z) = T((x \ 1) \ 1,y) \ z. [para(2321(a,1),3047(a,2,1))]. given #2984 (H,wt=21): 3136 T(x,y) * (K(x \ 1,x) * z) = T(1 / (1 / x),y) * z. [para(2324(a,1),3067(a,2,1))]. given #2985 (H,wt=21): 3142 (T(x,y) \ z) * K(x \ 1,x) = T((x \ 1) \ 1,y) \ z. [hyper(2358,a,3135,a)]. given #2986 (H,wt=21): 3143 K(x \ 1,x) * (T(1 / (1 / x),y) \ z) = T(x,y) \ z. [hyper(71,a,14,a(flip),b,3136,a),flip(a)]. given #2987 (H,wt=21): 3144 (T(x,y) \ z) * K(x,x \ 1) = T(1 / (1 / x),y) \ z. [hyper(2928,a,3143,a)]. given #2988 (H,wt=22): 2854 L((1 / x) * T((1 / x) \ 1,y),x,y) = K(1 / (1 / x),y). [para(64(a,1),2852(a,1,2))]. given #2989 (H,wt=16): 3147 L(T(x,y) / x,x,y) = K(1 / (1 / x),y). [para(956(a,1),2854(a,1,1))]. given #2990 (H,wt=15): 3148 K(1 / (1 / x),y) = (x * K(x,y)) / x. [hyper(228,a,801,a(flip),b,3147,a(flip))]. given #2991 (H,wt=13): 3149 T(K(1 / (1 / x),y),x) = K(x,y). [para(3148(a,2),165(a,1,1))]. given #2992 (H,wt=9): 3150 T(K(x,y),x) = K(x,y). [para(2856(a,1),3149(a,1,1))]. given #2993 (H,wt=7): 3154 T(x,K(x,y)) = x. [hyper(35,a,3150,a)]. given #2994 (H,wt=11): 3156 T(T(x,y),K(x,z)) = T(x,y). [para(3154(a,1),38(a,1,1)),flip(a)]. given #2995 (H,wt=11): 3165 T(K(x,y),T(x,z)) = K(x,y). [hyper(35,a,3156,a)]. given #2996 (H,wt=13): 3152 K(T(x,x \ 1),y) = T(K(x,y),x). [hyper(228,a,2861,a,b,3150,a),flip(a)]. given #2997 (H,wt=13): 3153 T(K(x,y),x) = K((x \ 1) \ 1,y). [hyper(228,a,2857,a,b,3150,a)]. given #2998 (H,wt=15): 3157 T(x,y) * K(x,z) = K(x,z) * T(x,y). [para(3154(a,1),182(a,1,2,1)),flip(a)]. given #2999 (H,wt=15): 3158 T(T(T(x,y),z),K(x,u)) = T(T(x,y),z). [para(3154(a,1),116(a,2,1,1))]. given #3000 (H,wt=13): 3168 T(K(x,y),T(T(x,z),u)) = K(x,y). [hyper(35,a,3158,a)]. given #3001 (H,wt=15): 3161 T((x * y) / x,K(y,z)) = (x * y) / x. [para(3154(a,1),417(a,1,1,2)),flip(a)]. given #3002 (H,wt=13): 3169 T(K(x,y),(z * x) / z) = K(x,y). [hyper(35,a,3161,a)]. given #3003 (H,wt=15): 3170 T(K(x \ y,z),y / x) = K(x \ y,z). [para(14(a,1),3169(a,1,2,1))]. given #3004 (H,wt=13): 3171 T(x / y,K(y \ x,z)) = x / y. [hyper(35,a,3170,a)]. given #3005 (H,wt=17): 3155 R(K(x,y),z,u) * x = x * R(K(x,y),z,u). [para(3150(a,1),184(a,1,2,1)),flip(a)]. given #3006 (H,wt=10): 3173 T(x,R(K(x,y),z,u)) = x. [hyper(172,a,3155,a)]. given #3007 (H,wt=10): 3174 K(x,R(K(x,y),z,u)) = 1. [hyper(70,a,3155,a,b,93,a),flip(a)]. given #3008 (H,wt=17): 3159 L(x,y,z) * K(x,u) = K(x,u) * L(x,y,z). [para(3154(a,1),183(a,1,2,1)),flip(a)]. given #3009 (H,wt=17): 3160 R(x,y,z) * K(x,u) = K(x,u) * R(x,y,z). [para(3154(a,1),184(a,1,2,1)),flip(a)]. given #3010 (H,wt=18): 3166 T(x,y) * K(x,z) != K(x,z) * u | T(x,y) = u. [para(3165(a,1),173(a,1,2)),flip(b)]. given #3011 (H,wt=18): 3167 T(x,y) * K(x,z) != u | K(x,z) * T(x,y) = u. [para(3165(a,1),219(a,1,2))]. given #3012 (H,wt=20): 3162 (x * K(y,z)) \ (x * (y * K(y,z))) = L(y,K(y,z),x). [para(3154(a,1),179(a,2,1))]. given #3013 (H,wt=20): 3163 K(x,y) * L(x,z,u) != w | L(x,z,u) * K(x,y) = w. [para(3154(a,1),378(a,1,2,1))]. given #3014 (H,wt=20): 3164 K(x,y) * R(x,z,u) != w | R(x,z,u) * K(x,y) = w. [para(3154(a,1),379(a,1,2,1))]. given #3015 (H,wt=20): 3176 R(x,y,z) * K(x,u) != w * R(x,y,z) | K(x,u) = w. [para(3160(a,2),20(a,1))]. given #3016 (H,wt=21): 3151 (((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)) = K(y,x). [hyper(2644,a,3150,a)]. given #3017 (H,wt=22): 2959 K((x / y) \ 1,x / y) != z | K(y / x,(y / x) \ 1) = z. [para(2956(a,2),2730(a,1))]. given #3018 (H,wt=22): 2965 (x / y) * y != z * K(u \ 1,u) | x * K(u,u \ 1) = z. [para(2924(a,2),20(a,1))]. given #3019 (H,wt=22): 3093 x * K(y,z) != z * ((z \ K(y,z)) * z) | 1 / (1 / z) = x. [para(3068(a,1),20(a,1)),flip(a)]. given #3020 (H,wt=22): 3125 L((x \ 1) * ((1 / x) \ y),x,x \ 1) = (x \ 1) * (x * y). [para(3054(a,2),3091(a,1,1))]. given #3021 (H,wt=23): 2778 1 / (1 / L(L(x \ 1,y,z),u,w)) = L(L(1 / x,y,z),u,w). [para(2773(a,1),2771(a,1,1)),flip(a)]. given #3022 (H,wt=23): 2837 ((x \ 1) \ y) \ K(x * y,y \ (x \ 1)) = 1 / ((x \ 1) \ y). [hyper(71,a,2791,a(flip),b,2456,a)]. given #3023 (H,wt=23): 2900 (x * y) * K(T(x,y),T(x,y) \ 1) = y * ((T(x,y) \ 1) \ 1). [para(113(a,1),2894(a,1,1))]. given #3024 (H,wt=21): 3178 (x * y) * K(T(x,y),1 / x) = y * ((T(x,y) \ 1) \ 1). [para(2314(a,1),2900(a,1,2))]. given #3025 (H,wt=19): 3179 (x * y) * K(T(x,y),1 / x) = ((x \ 1) \ 1) * y. [hyper(228,a,2325,a(flip),b,3178,a)]. given #3026 (H,wt=19): 3180 (x * y) * K(T(x,y),x \ 1) = ((x \ 1) \ 1) * y. [para(3141(a,1),3179(a,1,2))]. given #3027 (H,wt=13): 3181 K(T(x,y),x \ 1) = K(x,x \ 1). [hyper(17,a,3003,a,b,3180,a)]. given #3028 (H,wt=15): 3184 K(T(x,y),T(x,y) \ 1) = K(x,x \ 1). [hyper(228,a,3140,a,b,3181,a(flip)),flip(a)]. given #3029 (H,wt=21): 3190 (x * (T(y,z) \ 1)) * K(y,y \ 1) = x * (1 / T(y,z)). [para(3184(a,1),2920(a,1,2))]. given #3030 (H,wt=23): 3071 ((x \ y) * z) * K(y \ x,x \ y) = (1 / (1 / (x \ y))) * z. [para(2786(a,1),3037(a,1,2))]. given #3031 (H,wt=23): 3145 ((x \ 1) \ 1) * (T(x,y) \ z) = x * (T(1 / (1 / x),y) \ z). [para(3143(a,1),3042(a,1,2))]. given #3032 (H,wt=23): 3175 R(K(x,y),z,u) * L(x,w,v5) = L(x,w,v5) * R(K(x,y),z,u). [para(3173(a,1),183(a,1,2,1))]. given #3033 (H,wt=23): 3191 (T(x,y) \ T(x,z)) * K(x,x \ 1) = T(x,z) * (1 / T(x,y)). [para(1080(a,1),3190(a,1,1))]. given #3034 (H,wt=17): 3193 T(x,y) \ T(x,x \ 1) = x * (1 / T(x,y)). [hyper(18,a,2974,a,b,3191,a)]. given #3035 (H,wt=17): 3194 T(x,y) \ ((x \ 1) \ 1) = x * (1 / T(x,y)). [hyper(228,a,393,a(flip),b,3193,a(flip)),flip(a)]. given #3036 (H,wt=24): 2781 L((((x \ y) \ z) \ 1) \ 1,x \ y,x) = ((y \ (x * z)) \ 1) \ 1. [para(458(a,1),2780(a,2,1,1))]. given #3037 (H,wt=24): 2834 T(x * y,x \ (1 / y)) = R(((x / (1 / y)) \ 1) \ 1,y \ 1,y). [para(2461(a,1),2817(a,1,1)),flip(a)]. given #3038 (H,wt=24): 3092 (((x \ 1) \ 1) \ y) * ((x \ 1) \ 1) != y * z | K(x \ y,x) = z. [para(3018(a,2),423(a,1))]. given #3039 (H,wt=19): 3196 K(((x \ 1) \ 1) \ y,(x \ 1) \ 1) = K(x \ y,x). [hyper(3092,a,239,a(flip)),flip(a)]. given #3040 (H,wt=24): 3137 L((1 / T(x,y)) * x,x \ 1,x) = ((1 / x) * (T(x,y) \ x)) * x. [para(3085(a,1),1741(a,1,1)),flip(a)]. given #3041 (H,wt=22): 3197 ((1 / x) * (T(x,y) \ x)) * x = L(T(x,y) \ x,x \ 1,x). [para(2481(a,1),3137(a,1,1)),flip(a)]. given #3042 (H,wt=25): 2876 (x * T(y,z)) / T(T(y,y \ 1),z) = x * K(T(y,z) \ 1,T(y,z)). [para(2318(a,2),2872(a,1,2))]. given #3043 (H,wt=21): 3198 (x * T(y,z)) / T(T(y,y \ 1),z) = x * K(y \ 1,y). [para(2537(a,1),2876(a,2,2))]. given #3044 (H,wt=21): 3199 (x * T(y,z)) / T((y \ 1) \ 1,z) = x * K(y \ 1,y). [para(114(a,1),3198(a,1,2,1))]. given #3045 (H,wt=24): 3202 (x * K(y \ 1,y)) * T((y \ 1) \ 1,z) != u | x * T(y,z) = u. [para(3199(a,1),215(a,1,1)),flip(b)]. given #3046 (H,wt=25): 2880 T(x * ((y \ 1) \ 1),z) * K(y \ 1,y) = (y \ T(y * x,z)) * y. [para(953(a,1),2873(a,1,1)),flip(a)]. given #3047 (H,wt=25): 2905 (x / T(y,z)) * T((y \ 1) \ 1,z) = x * K(T(y,z),T(y,z) \ 1). [para(2321(a,1),2898(a,1,2))]. given #3048 (H,wt=25): 2999 L(x,y,y \ 1) \ ((1 / y) * (x * y)) = L(K(x,y),y * x,1 / y). [para(2993(a,1),243(a,1,1))]. given #3049 (H,wt=25): 3099 T(x / (1 / (1 / y)),1 / (1 / y)) / (1 / y) = (y \ x) / (y \ 1). [para(115(a,2),3082(a,1,1))]. given #3050 (H,wt=25): 3124 x * (T(x,y) \ (x * (K(z,x) / x))) = T(x,y) \ ((x \ 1) \ K(z,x)). [hyper(71,a,3123,a(flip),b,1054,a),flip(a)]. given #3051 (H,wt=25): 3133 K(x \ 1,x) * (y * ((x \ z) \ z)) = y * T(1 / (1 / x),x \ z). [para(114(a,1),2970(a,1,2,2))]. given #3052 (H,wt=25): 3146 (T(x \ 1,y) \ z) * K(x \ 1,x) = T(1 / (1 / (x \ 1)),y) \ z. [para(1845(a,1),3144(a,1,2))]. given #3053 (H,wt=21): 3206 (T(x \ 1,y) \ z) * K(x \ 1,x) = T(1 / x,y) \ z. [para(61(a,1),3146(a,2,1,1,2))]. given #3054 (H,wt=21): 3207 K(x,x \ 1) * (T(1 / x,y) \ z) = T(x \ 1,y) \ z. [hyper(2936,a,3206,a)]. given #3055 (H,wt=21): 3208 T(x \ 1,y) \ (T(1 / x,y) * z) = K(x,x \ 1) * z. [para(13(a,1),3207(a,1,2)),flip(a)]. given #3056 (H,wt=21): 3209 T(x \ 1,y) * (K(x,x \ 1) * z) = T(1 / x,y) * z. [para(3208(a,1),14(a,1,2))]. given #3057 (H,wt=23): 3211 T(1 / x,y) * ((1 / x) \ z) = T(x \ 1,y) * ((x \ 1) \ z). [para(3019(a,1),3209(a,1,2)),flip(a)]. given #3058 (H,wt=23): 3212 (1 / x) * (T(x \ 1,y) * ((x \ 1) \ z)) = T(1 / x,y) * z. [para(3211(a,1),1053(a,1,2))]. given #3059 (H,wt=25): 3177 x * (T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)) = x / K(y,x). [para(3151(a,1),2625(a,1,2)),flip(a)]. given #3060 (H,wt=25): 3192 ((x \ (x / y)) * z) * K(y,y \ 1) = (1 / (1 / (x \ (x / y)))) * z. [para(2448(a,1),3071(a,1,2))]. given #3061 (H,wt=25): 3204 x * (x * (T(x,y) \ (K(z,x) / x))) = T(x,y) \ ((x \ 1) \ K(z,x)). [para(1057(a,1),3124(a,1,2))]. given #3062 (H,wt=25): 3205 (x \ (y \ 1)) * T(1 / (1 / y),y \ 1) = K(y \ 1,y) * (x \ 1). [para(119(a,1),3133(a,1,2)),flip(a)]. given #3063 (H,wt=17): 3215 K(x \ 1,x) * (y \ 1) = (y \ (x \ 1)) * x. [para(1800(a,1),3205(a,1,2)),flip(a)]. given #3064 (H,wt=21): 3216 K(x \ 1,x) * (y \ (z \ 1)) = ((z * y) \ (x \ 1)) * x. [para(118(a,1),3215(a,1,2))]. given #3065 (H,wt=22): 3217 K(x \ 1,x) * (y \ 1) != x * z | T(y \ (x \ 1),x) = z. [para(3215(a,2),172(a,2)),flip(a)]. given #3066 (H,wt=25): 3213 x * (T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)) = K(y,x) \ x. [hyper(228,a,2610,a(flip),b,3177,a)]. given #3067 (H,wt=25): 3218 (((x * y) \ x) * T(((x * y) \ x) \ 1,x)) / x = 1 / (K(y,x) \ x). [para(3213(a,1),310(a,1,2)),flip(a)]. given #3068 (H,wt=13): 3219 1 / (K(x,y) \ y) = K(x,y) / y. [para(934(a,2),3218(a,1,1)),flip(a)]. given #3069 (H,wt=13): 3220 (K(x,y) / y) \ 1 = K(x,y) \ y. [para(3219(a,1),64(a,1,1))]. given #3070 (H,wt=13): 3221 x * (K(y,x) \ 1) = K(y,x) \ x. [hyper(311,a,3220,a)]. given #3071 (H,wt=13): 3222 (K(x,y) \ y) / (K(x,y) \ 1) = y. [hyper(72,a,3220,a(flip),b,120,a(flip))]. given #3072 (H,wt=13): 3224 (K(x,y) \ 1) \ (K(x,y) \ y) = y. [hyper(228,a,2604,a(flip),b,3222,a(flip)),flip(a)]. given #3073 (H,wt=16): 3223 K(x,y) \ y != y * z | K(x,y) \ 1 = z. [para(3221(a,1),19(a,1))]. given #3074 (H,wt=17): 3226 (K(x,y) \ 1) * T(y,z) = K(x,y) \ T(y,z). [para(3224(a,1),921(a,1,2,1))]. given #3075 (H,wt=21): 3227 K(x,y) \ T(y,y \ z) = (K(x,y) \ 1) * ((y \ z) \ z). [hyper(228,a,246,a(flip),b,3226,a(flip))]. given #3076 (H,wt=21): 3228 (K(x,y) \ 1) * ((y \ z) \ z) = K(x,y) \ ((y \ z) \ z). [hyper(228,a,393,a(flip),b,3227,a(flip))]. given #3077 (H,wt=20): 3229 R(K(x,y) \ y,y \ 1,y) = K(x,y) \ ((y \ 1) \ 1). [hyper(228,a,2890,a,b,3228,a(flip)),flip(a)]. given #3078 (H,wt=26): 2929 R((x * K(y,y \ 1)) / z,z,K(y \ 1,y)) = x / (z * K(y \ 1,y)). [para(2911(a,1),110(a,2,1))]. given #3079 (H,wt=26): 2937 R((K(x,x \ 1) * y) / z,z,K(x \ 1,x)) = y / (z * K(x \ 1,x)). [para(2926(a,1),110(a,2,1))]. given #3080 (H,wt=26): 3029 ((x \ 1) * y) / L(T(1 / x,y),y,K(x \ 1,x)) = K(x \ 1,x) * y. [para(2987(a,1),507(a,1,1))]. given #3081 (H,wt=19): 3231 ((x \ 1) * y) / T(1 / x,y) = K(x \ 1,x) * y. [para(2222(a,1),3029(a,1,2))]. given #3082 (H,wt=26): 3110 x * (((x \ (y \ x)) \ 1) \ 1) != z * u | (((y \ 1) \ 1) \ x) / u = z. [para(3095(a,2),276(a,1,2))]. given #3083 (H,wt=26): 3132 ((L(x,y,y \ 1) \ (y * x)) \ 1) \ 1 = ((y \ 1) * (y * x)) \ (y * x). [para(2993(a,1),3130(a,1,1,1,1))]. given #3084 (H,wt=26): 3172 (x * y) * R(K(x * y,z),y,T(x,y)) = (K(x * y,z) * y) * T(x,y). [hyper(762,a,3155,a),flip(a)]. given #3085 (H,wt=26): 3195 L(T((x \ y) \ z,z \ (x \ y)),x \ y,x) = ((y \ (x * z)) \ 1) \ 1. [para(2436(a,2),2781(a,1,1))]. given #3086 (H,wt=21): 3234 T(x \ (y * z),z \ (y \ x)) = ((x \ (y * z)) \ 1) \ 1. [hyper(228,a,712,a(flip),b,3195,a(flip)),flip(a)]. given #3087 (H,wt=27): 2938 K(x \ 1,x) * T(K(x,x \ 1) * y,z) = (x \ T(x * (y / x),z)) * x. [para(2930(a,1),2200(a,1,2,1))]. given #3088 (H,wt=27): 3038 K(x,x \ 1) * ((y \ (1 / (1 / x))) * y) = x * K(y \ (1 / (1 / x)),y). [para(239(a,1),2992(a,1,2))]. given #3089 (H,wt=27): 3230 x * (K(x,y) * (K(x,y) \ ((y \ 1) \ 1))) = (T(y,y \ 1) * x) * K(x,y). [para(3229(a,1),2285(a,1,2,2))]. given #3090 (H,wt=19): 3235 K(x,y) = (T(y,y \ 1) * x) \ (x * ((y \ 1) \ 1)). [hyper(558,a,3230,a),flip(a)]. given #3091 (H,wt=11): 3236 K(x,(y \ 1) \ 1) = K(x,y). [hyper(228,a,614,a(flip),b,3235,a),flip(a)]. given #3092 (H,wt=11): 3240 K(x,1 / y) = K(x,y \ 1). [para(64(a,1),3236(a,1,2,1)),flip(a)]. given #3093 (H,wt=11): 3242 K(x,1 / (1 / y)) = K(x,y). [para(142(a,1),3236(a,1,2)),flip(a)]. given #3094 (H,wt=11): 3243 K(x,T(y,1 / y)) = K(x,y). [para(1833(a,2),3236(a,1,2))]. given #3095 (H,wt=14): 3238 K(x,y) != z | K(x,(y \ 1) \ 1) = z. [para(3235(a,2),616(a,1))]. given #3096 (H,wt=15): 3239 K(((x \ 1) \ 1) \ y,x) = K(x \ y,x). [hyper(228,a,3196,a(flip),b,3236,a(flip))]. given #3097 (H,wt=15): 3241 K(x,(y * (z \ 1)) \ 1) = K(x,z / y). [para(120(a,1),3236(a,1,2,1))]. given #3098 (H,wt=15): 3244 K(x,T(1 / y,z)) = K(x,T(y \ 1,z)). [para(2322(a,1),3236(a,1,2)),flip(a)]. given #3099 (H,wt=15): 3245 K(x,T(y / z,y \ z)) = K(x,y / z). [para(2461(a,2),3236(a,1,2))]. given #3100 (H,wt=15): 3256 K(x,(y \ 1) \ (z \ 1)) = K(x,y / z). [para(118(a,1),3241(a,1,2))]. given #3101 (H,wt=17): 3250 (1 / x) * K(y,1 / x) = K(y,x \ 1) / x. [para(3240(a,1),2188(a,2,1))]. given #3102 (H,wt=17): 3251 (x \ 1) * K(y,x \ 1) = x \ K(y,1 / x). [para(3240(a,2),2527(a,2,2))]. given #3103 (H,wt=19): 3246 K(x,((1 / y) \ z) / z) = K(x,((y \ 1) \ z) / z). [para(3111(a,1),3236(a,1,2)),flip(a)]. given #3104 (H,wt=19): 3254 K(x \ ((1 / x) \ y),x) = K(x \ ((x \ 1) \ y),x). [para(3049(a,1),3239(a,1,1))]. given #3105 (H,wt=19): 3255 K(x * (y \ 1),y / x) = (x * (y \ 1)) * (y / x). [hyper(228,a,1852,a(flip),b,3241,a(flip))]. given #3106 (H,wt=23): 3253 K(x,L(L(1 / y,z,u),w,v5)) = K(x,L(L(y \ 1,z,u),w,v5)). [para(2778(a,1),3242(a,1,2))]. given #3107 (H,wt=23): 3257 ((1 / x) \ y) \ ((1 / x) \ T(y,x)) = K(x \ ((x \ 1) \ y),x). [hyper(228,a,972,a,b,3254,a(flip)),flip(a)]. given #3108 (H,wt=28): 3057 (x * ((1 / y) * z)) / L((y \ 1) * z,K(y,y \ 1),x) = x * K(y,y \ 1). [para(3025(a,1),136(a,1,1,2))]. given #3109 (H,wt=29): 2939 K(x \ 1,x) * R(K(x,x \ 1) * (y * x),z,u) = (x \ R(x * y,z,u)) * x. [para(2930(a,1),2281(a,1,2,1))]. given #3110 (H,wt=27): 3258 K(x \ 1,x) * R(y * T(x,x \ 1),z,u) = (x \ R(x * y,z,u)) * x. [para(2902(a,1),2939(a,1,2,1))]. given #3111 (H,wt=29): 2940 K(x \ 1,x) * L(K(x,x \ 1) * (y * x),z,u) = (x \ L(x * y,z,u)) * x. [para(2930(a,1),2282(a,1,2,1))]. given #3112 (H,wt=27): 3259 K(x \ 1,x) * L(y * T(x,x \ 1),z,u) = (x \ L(x * y,z,u)) * x. [para(2902(a,1),2940(a,1,2,1))]. given #3113 (H,wt=29): 3055 K(x \ 1,x) * ((y * ((1 / x) * z)) / y) = (x \ 1) * (x * ((y * (x \ z)) / y)). [para(1253(a,1),3024(a,1,2)),flip(a)]. given #3114 (H,wt=29): 3094 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ (1 / (1 / x))) * y) * (1 / x). [para(239(a,1),3072(a,1,1)),flip(a)]. given #3115 (H,wt=29): 3210 T(x \ 1,y) * ((x \ 1) \ (K(x,x \ 1) * z)) = T(1 / x,y) * ((x \ 1) \ z). [para(1730(a,2),3209(a,1,2))]. given #3116 (H,wt=27): 3262 T(x \ 1,y) * ((((x \ 1) \ 1) \ 1) \ z) = T(1 / x,y) * ((x \ 1) \ z). [para(3073(a,1),3210(a,1,2))]. given #3117 (H,wt=29): 3214 ((x \ (x / (y \ 1))) * z) * K(y \ 1,y) = (1 / (1 / (x \ (x / (y \ 1))))) * z. [para(1845(a,1),3192(a,1,2))]. given #3118 (H,wt=25): 3264 ((x \ (x / (y \ 1))) * z) * K(y \ 1,y) = (x \ (x / (1 / y))) * z. [para(2842(a,1),3214(a,2,1))]. given #3119 (H,wt=29): 3260 K(x \ 1,x) * L(y * K(x,x \ 1),z,u) = (x \ L(x * (y / x),z,u)) * x. [para(2903(a,1),3259(a,1,2,1))]. given #3120 (H,wt=29): 3263 T(x \ 1,y) * (T(x \ 1,(x \ 1) \ 1) \ z) = T(1 / x,y) * ((x \ 1) \ z). [para(114(a,2),3262(a,1,2,1))]. given #3121 (H,wt=30): 2835 R(K(x \ (x / ((y \ x) / T(x,y))),x),x \ 1,x) = ((1 / x) * (T(x,y) \ x)) * x. [para(2488(a,1),2818(a,1,1,2)),flip(a)]. given #3122 (H,wt=29): 3265 R(K(x \ (x / ((y \ x) / T(x,y))),x),x \ 1,x) = L(T(x,y) \ x,x \ 1,x). [hyper(228,a,3197,a(flip),b,2835,a)]. given #3123 (H,wt=21): 3266 R(T(x,y) \ x,x \ 1,x) = L(T(x,y) \ x,x \ 1,x). [para(2488(a,1),3265(a,1,1))]. given #3124 (H,wt=16): 3267 L(T(x,y) \ x,x \ 1,x) = T(x,y) \ x. [hyper(2891,a,3266,a),flip(a)]. given #3125 (H,wt=23): 3268 L(T(x,y) \ x,T(x,y),y) = L((x * y) \ (y * x),x \ 1,x). [para(3267(a,1),860(a,1,1))]. given #3126 (H,wt=20): 3269 L((x * y) \ (y * x),x \ 1,x) = (x * y) \ (y * x). [hyper(228,a,465,a(flip),b,3268,a(flip))]. given #3127 (H,wt=16): 3270 K(x,y) = L((y * x) \ (x * y),y \ 1,y). [hyper(228,a,26,a,b,3269,a),flip(a)]. given #3128 (H,wt=12): 3271 L(K(x,y),y \ 1,y) = K(x,y). [para(26(a,2),3270(a,2,1)),flip(a)]. given #3129 (H,wt=13): 3272 (x \ 1) * K(y,x) = x \ K(y,x). [hyper(71,a,3271,a(flip),b,190,a),flip(a)]. given #3130 (H,wt=24): 3273 ((x * (y \ 1)) * K(z,y)) / (y \ K(z,y)) = R(x,y \ 1,K(z,y)). [para(3272(a,1),30(a,2,2)),flip(a)]. given #3131 (H,wt=31): 3058 (x * K(y,y \ 1)) \ (x * ((1 / y) * z)) != u | L((y \ 1) * z,K(y,y \ 1),x) = u. [para(3025(a,1),456(a,1,2,2))]. given #3132 (H,wt=31): 3203 (T(x,y) * z) * K(T(T(x,z),y),T(T(x,z),y) \ 1) = z * T((T(x,z) \ 1) \ 1,y). [para(200(a,1),2905(a,1,1)),flip(a)]. given #3133 (H,wt=31): 3274 (T(x,y) * z) * K(T(T(x,z),y),T(T(x,z),y) \ 1) = z * T(T((x \ 1) \ 1,z),y). [para(2321(a,1),3203(a,2,2,1))]. given #3134 (H,wt=29): 3275 (T(x,y) * z) * K(T(T(x,z),y),T(T(x,z),y) \ 1) = T((x \ 1) \ 1,y) * z. [hyper(228,a,182,a(flip),b,3274,a)]. given #3135 (H,wt=25): 3276 (T(x,y) * z) * K(T(x,z),T(x,z) \ 1) = T((x \ 1) \ 1,y) * z. [para(3184(a,1),3275(a,1,2))]. given #3136 (H,wt=21): 3277 (T(x,y) * z) * K(x,x \ 1) = T((x \ 1) \ 1,y) * z. [para(3184(a,1),3276(a,1,2))]. given #3137 (H,wt=23): 3279 T(x,x \ 1) * (T(x,y) * z) = x * (T((x \ 1) \ 1,y) * z). [para(3277(a,1),3004(a,1,2)),flip(a)]. given #3138 (H,wt=27): 3281 (1 / x) * (T(((1 / x) \ 1) \ 1,y) * z) = (x \ 1) * (T(1 / x,y) * z). [para(583(a,1),3279(a,1,1)),flip(a)]. given #3139 (H,wt=23): 3282 (1 / x) * (T(x \ 1,y) * z) = (x \ 1) * (T(1 / x,y) * z). [para(64(a,1),3281(a,1,2,1,1,1))]. given #3140 (H,wt=21): 3283 K(x \ 1,x) * (T(1 / x,y) * z) = T(x \ 1,y) * z. [hyper(17,a,3053,a,b,3282,a),flip(a)]. given #3141 (H,wt=23): 3284 (T(1 / x,y) * z) / (T(1 / x,y) * ((x \ 1) \ z)) = x \ 1. [hyper(72,a,3212,a(flip),b,3282,a(flip))]. given #3142 (H,wt=23): 3285 ((x \ 1) \ 1) * (T(x \ 1,y) * z) = x * (T(1 / x,y) * z). [para(3283(a,1),3042(a,1,2))]. given #3143 (H,wt=30): 3286 (x * T(1 / x,y)) \ (x * (T(1 / x,y) * z)) = L(z,T(x \ 1,y),(x \ 1) \ 1). [para(3285(a,1),2615(a,1,2))]. given #3144 (H,wt=24): 3287 L(x,T(y \ 1,z),(y \ 1) \ 1) != u | L(x,T(1 / y,z),y) = u. [para(3286(a,1),456(a,1))]. given #3145 (H,wt=32): 3028 ((x * K(y \ 1,y)) * ((1 / y) * z)) / ((y \ 1) * z) = R(x,K(y \ 1,y),(1 / y) * z). [para(2987(a,1),30(a,2,2)),flip(a)]. given #3146 (H,wt=32): 3061 L(x,T(y,y \ z) \ 1,T(y,y \ z)) != u | L(x,1 / T(y,y \ z),(y \ z) \ z) = u. [para(3059(a,1),2010(a,1))]. given #3147 (H,wt=33): 2951 K(1 / T(x,y),(1 / T(x,y)) \ 1) * (z / T(1 / (1 / x),y)) = z / ((1 / T(x,y)) \ 1). [para(2324(a,1),2933(a,1,2,2))]. given #3148 (H,wt=29): 3288 K(T(x,y) \ 1,T(x,y)) * (z / T(1 / (1 / x),y)) = z / ((1 / T(x,y)) \ 1). [para(1884(a,1),2951(a,1,1))]. given #3149 (H,wt=25): 3289 K(x \ 1,x) * (y / T(1 / (1 / x),z)) = y / ((1 / T(x,z)) \ 1). [para(2537(a,1),3288(a,1,1))]. given #3150 (H,wt=21): 3290 K(x \ 1,x) * (y / T(1 / (1 / x),z)) = y / T(x,z). [para(64(a,1),3289(a,2,2))]. given #3151 (H,wt=23): 3294 ((x \ 1) \ 1) * (y / T(x,z)) = x * (y / T(1 / (1 / x),z)). [para(3290(a,1),3042(a,1,2))]. given #3152 (H,wt=34): 3098 ((x * y) * z) * (((((x * y) * z) \ (y * z)) \ 1) \ 1) = ((R(x,y,z) \ 1) \ 1) \ ((x * y) * z). [para(141(a,1),3074(a,1,2,1,1,2))]. given #3153 (H,wt=35): 2806 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(1339(a,1),2804(a,1,1,2)),flip(a)]. given #3154 (H,wt=29): 3295 K(T(x / y,T(y,x)) \ 1,T(x / y,T(y,x))) = K(x \ y,T(x / y,T(y,x))). [para(1087(a,1),2806(a,2,1))]. given #3155 (H,wt=25): 3296 K(T(x / y,T(y,x)) \ 1,T(x / y,T(y,x))) = K(x \ y,y \ x). [hyper(228,a,2473,a(flip),b,3295,a)]. given #3156 (H,wt=17): 3297 K((x / y) \ 1,x / y) = K(x \ y,y \ x). [hyper(228,a,2652,a(flip),b,3296,a(flip)),flip(a)]. given #3157 (H,wt=15): 3300 K(x / y,y / x) = K(y \ x,x \ y). [hyper(228,a,2956,a(flip),b,3297,a(flip)),flip(a)]. given #3158 (H,wt=17): 3298 K(x / y,(x / y) \ 1) = K(y \ x,x \ y). [hyper(2959,a,3297,a)]. given #3159 (H,wt=17): 3301 K(1 / (x \ y),x \ y) = K(x / y,y / x). [hyper(228,a,2785,a,b,3300,a),flip(a)]. given #3160 (H,wt=19): 3302 K(x / (y * x),(x / (y * x)) \ 1) = K(y \ 1,y). [hyper(228,a,2966,a(flip),b,3298,a)]. given #3161 (H,wt=21): 3303 x * K(x / y,(x / y) \ 1) = y * (((y \ x) \ 1) \ 1). [para(3298(a,2),2790(a,1,2))]. given #3162 (H,wt=21): 3304 K(x \ 1,x) * (y / (x * y)) = ((y / (x * y)) \ 1) \ 1. [para(3302(a,1),1813(a,1,1))]. given #3163 (H,wt=16): 3305 R(x \ 1,x,y) = ((y / (x * y)) \ 1) \ 1. [hyper(228,a,2916,a(flip),b,3304,a(flip)),flip(a)]. given #3164 (H,wt=16): 3306 R(x \ 1,x,y) = y / (((x \ 1) \ 1) * y). [hyper(228,a,3120,a,b,3305,a)]. given #3165 (H,wt=16): 3309 R(x \ 1,x,y) \ y = ((x \ 1) \ 1) * y. [para(3306(a,2),64(a,1,1))]. given #3166 (H,wt=16): 3311 x / (T(y,y \ 1) * x) = R(y \ 1,y,x). [para(114(a,2),3306(a,2,2,1)),flip(a)]. given #3167 (H,wt=18): 3312 R(x,1 / x,y) \ y = (((1 / x) \ 1) \ 1) * y. [para(64(a,1),3309(a,1,1,1))]. given #3168 (H,wt=14): 3313 R(x,1 / x,y) \ y = (x \ 1) * y. [para(64(a,1),3312(a,2,1,1))]. given #3169 (H,wt=14): 3314 R(x,1 / x,y) = y / ((x \ 1) * y). [para(3313(a,1),61(a,1,2)),flip(a)]. given #3170 (H,wt=13): 3315 R(x,1 / x,y) = R(x,x \ 1,y). [hyper(228,a,159,a,b,3314,a)]. given #3171 (H,wt=22): 3316 L(R(x,x \ 1,y),x \ 1,x) = R(1 / (1 / x),1 / x,y). [para(3315(a,1),1823(a,1,1))]. given #3172 (H,wt=21): 3317 R(1 / (1 / x),1 / x,y) = R(1 / (1 / x),x \ 1,y). [hyper(228,a,1823,a(flip),b,3316,a(flip))]. given #3173 (H,wt=22): 3318 R(1 / (1 / x),x \ 1,(1 / x) \ y) = ((1 / x) \ y) / y. [hyper(228,a,361,a(flip),b,3317,a(flip))]. given #3174 (H,wt=24): 3310 T(R(x \ 1,x,y),((x \ 1) \ 1) * y) = (((x \ 1) \ 1) * y) \ y. [para(3306(a,2),115(a,1,1))]. given #3175 (H,wt=24): 3320 R(T(x \ 1,((x \ 1) \ 1) * y),x,y) = (((x \ 1) \ 1) * y) \ y. [hyper(228,a,42,a,b,3310,a(flip)),flip(a)]. given #3176 (H,wt=20): 3321 R(T(x \ 1,x * y),x,y) = (((x \ 1) \ 1) * y) \ y. [para(3002(a,1),3320(a,1,1))]. given #3177 (H,wt=17): 3322 T((x * y) \ y,x) = (((x \ 1) \ 1) * y) \ y. [hyper(228,a,1037,a(flip),b,3321,a(flip)),flip(a)]. given #3178 (H,wt=17): 3323 (T(x,x \ 1) * y) \ y = T((x * y) \ y,x). [para(114(a,2),3322(a,2,1,1)),flip(a)]. given #3179 (H,wt=28): 3307 R(R(x,y,z) \ 1,R(x,y,z),y * z) = (((y * z) / ((x * y) * z)) \ 1) \ 1. [para(109(a,1),3305(a,2,1,1,2))]. given #3180 (H,wt=32): 3319 ((1 / x) \ y) \ (y * R(1 / (1 / x),x \ 1,(1 / x) \ y)) = K(y,((1 / x) \ y) / y). [para(3318(a,2),96(a,1,2,2))]. given #3181 (H,wt=32): 3325 ((1 / x) \ y) \ (y * R(1 / (1 / x),x \ 1,(1 / x) \ y)) = K(y,((x \ 1) \ y) / y). [hyper(228,a,3246,a(flip),b,3319,a)]. given #3182 (H,wt=35): 3324 ((((x * y) / ((z * x) * y)) \ 1) \ 1) * ((z * x) * y) = ((R(z,x,y) \ 1) * R(z,x,y)) * (x * y). [para(3307(a,1),493(a,1,1))]. given #3183 (H,wt=35): 3326 ((x * y) * z) * (((((x * y) * z) \ (y * z)) \ 1) \ 1) = ((R(x,y,z) \ 1) * R(x,y,z)) * (y * z). [hyper(2404,a,3324,a)]. given #3184 (H,wt=36): 2836 R(((x \ (x / (y \ 1))) * x) * K(y \ 1,y),y \ 1,y) = (x * ((y \ 1) * T((y \ 1) \ 1,x))) * y. [para(1159(a,1),2831(a,2,1))]. given #3185 (H,wt=30): 3327 R((x \ (x / (1 / y))) * x,y \ 1,y) = (x * ((y \ 1) * T((y \ 1) \ 1,x))) * y. [para(3264(a,1),2836(a,1,1))]. given #3186 (H,wt=24): 3328 R((x \ (x / (1 / y))) * x,y \ 1,y) = (x * (y \ T(y,x))) * y. [para(920(a,1),3327(a,2,1,2))]. given #3187 (H,wt=37): 2945 ((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(2920(a,1),479(a,1,1))]. given #3188 (H,wt=31): 3329 R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)) = ((x * y) * (1 / z)) / (y * (1 / z)). [para(2920(a,1),2945(a,1,2)),flip(a)]. given #3189 (H,wt=24): 3330 R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)) = R(x,y,1 / z). [hyper(228,a,30,a,b,3329,a)]. given #3190 (H,wt=17): 3331 R(1 / x,y,1 / x) = R(1 / x,y,x \ 1). [hyper(228,a,2239,a(flip),b,3330,a(flip))]. given #3191 (H,wt=34): 3332 R(R(x,y,(z \ 1) \ 1),y * T(z,z \ 1),K(z \ 1,(z \ 1) \ 1)) = R(x,y,1 / (z \ 1)). [para(114(a,2),3330(a,1,2,2))]. given #3192 (H,wt=30): 3333 R(R(x,y,(z \ 1) \ 1),y * T(z,z \ 1),K(z \ 1,z)) = R(x,y,1 / (z \ 1)). [para(1845(a,1),3332(a,1,3))]. given #3193 (H,wt=26): 3334 R(R(x,y,(z \ 1) \ 1),y * T(z,z \ 1),K(z \ 1,z)) = R(x,y,z). [para(61(a,1),3333(a,2,3))]. given #3194 (H,wt=37): 3013 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(3012(a,1),2259(a,1,1)),flip(a)]. given #3195 (H,wt=30): 3335 R((1 / x) * T((1 / x) \ 1,y),K(x \ 1,x),z) = (1 / x) * T((1 / x) \ 1,y). [para(3012(a,1),3013(a,2,2,1,1))]. given #3196 (H,wt=24): 3336 R((1 / x) * T((1 / x) \ 1,y),K(x \ 1,x),z) = x \ T(x,y). [hyper(228,a,2557,a(flip),b,3335,a)]. given #3197 (H,wt=18): 3338 R(x \ T(x,y),K(x \ 1,x),z) = x \ T(x,y). [para(2557(a,1),3336(a,1,1))]. given #3198 (H,wt=25): 3339 (x \ T(x,y)) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,T(x,y)) * z. [para(3338(a,1),2597(a,1,1))]. given #3199 (H,wt=23): 3340 (x \ T(x,y)) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,x) * z. [para(2594(a,1),3339(a,2,1))]. given #3200 (H,wt=23): 3342 (x \ T(x,y)) * (K(x \ 1,x) * z) = ((x \ 1) * T(x,y)) * z. [para(3340(a,1),14(a,1,2))]. given #3201 (H,wt=23): 3344 (x \ T(x,y)) * (z * K(x \ 1,x)) = ((x \ 1) * T(x,y)) * z. [hyper(228,a,2369,a(flip),b,3342,a(flip)),flip(a)]. given #3202 (H,wt=37): 3030 ((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(2987(a,1),447(a,1,1))]. given #3203 (H,wt=31): 3345 L(L(x,y,1 / z),(1 / z) * y,K(z \ 1,z)) = ((z \ 1) * y) \ ((z \ 1) * (y * x)). [para(2987(a,1),3030(a,1,2)),flip(a)]. given #3204 (H,wt=27): 3346 L(L(x,y,1 / z),(1 / z) * y,K(z \ 1,z)) != u | L(x,y,z \ 1) = u. [para(3345(a,2),456(a,1))]. given #3205 (H,wt=38): 3090 (((L(x,y,y \ 1) * y) / y) \ ((1 / y) * (x * y))) * ((y * ((1 / y) * (x * y))) / y) = (1 / y) * (x * y). [para(2996(a,1),2586(a,1,1,1,1))]. given #3206 (H,wt=34): 3347 (L(x,y,y \ 1) \ ((1 / y) * (x * y))) * ((y * ((1 / y) * (x * y))) / y) = (1 / y) * (x * y). [para(15(a,1),3090(a,1,1,1))]. given #3207 (H,wt=37): 3349 x * ((y * ((1 / y) * (z * y))) / y) != (1 / y) * (z * y) | L(z,y,y \ 1) \ ((1 / y) * (z * y)) = x. [para(3347(a,1),20(a,1)),flip(a)]. given #3208 (H,wt=39): 3134 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(2995(a,2),2038(a,1,1))]. given #3209 (H,wt=32): 3350 T((x \ 1) * (x * ((y * z) / y)),y) = T(1 / x,y) * L(T(1 / x,y) \ z,x \ 1,x). [para(3125(a,1),3134(a,1,1))]. given #3210 (H,wt=39): 3232 x * K(((y \ 1) * x) \ (K(y \ 1,y) * x),(y \ 1) * x) = ((1 / y) * T((1 / y) \ 1,(y \ 1) * x)) * x. [para(3231(a,1),2031(a,2,2,1,2)),flip(a)]. given #3211 (H,wt=33): 3351 x * K(((y \ 1) * x) \ (K(y \ 1,y) * x),(y \ 1) * x) = (y \ T(y,(y \ 1) * x)) * x. [para(2557(a,1),3232(a,2,1))]. given #3212 (H,wt=40): 3261 R((x \ (1 / (1 / y))) * x,1 / y,(1 / y) \ 1) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). [hyper(228,a,397,a,b,3094,a),flip(a)]. given #3213 (H,wt=36): 3352 R((x \ (1 / (1 / y))) * x,y \ 1,y) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). [para(2954(a,1),3261(a,1,1))]. given #3214 (H,wt=42): 1653 (((x * y) * z) * L(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * L((((x * y) * z) / (y * z)) \ 1,u,w). [para(30(a,2),1651(a,1,1)),flip(a)]. given #3215 (H,wt=37): 3353 (((x * y) * z) * L(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * L(R(x,y,z) \ 1,u,w). [para(30(a,2),1653(a,2,2,1,1))]. given #3216 (H,wt=33): 3354 (((x * y) * L((x * y) \ y,z,u)) * w) / (y * w) = R(x,y,w) * L(R(x,y,w) \ 1,z,u). [para(1594(a,1),3353(a,1,1))]. given #3217 (H,wt=31): 3355 (((x * L(x \ 1,y,z)) * u) * w) / (u * w) = R(x,u,w) * L(R(x,u,w) \ 1,y,z). [para(1624(a,1),3354(a,1,1,1))]. given #3218 (H,wt=26): 3356 R(x,y,z) * L(R(x,y,z) \ 1,u,w) = R(x * L(x \ 1,u,w),y,z). [hyper(489,a,3355,a),flip(a)]. given #3219 (H,wt=29): 3357 R(x,y,z) * L(R(x,y,z) \ 1,u,w) != v5 | R(x * L(x \ 1,u,w),y,z) = v5. [para(3355(a,1),489(a,1))]. given #3220 (H,wt=34): 3358 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(1670(a,1),3356(a,1,2))]. given #3221 (H,wt=32): 3359 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(12(a,1),3358(a,1,2,2)),flip(a)]. given #3222 (H,wt=28): 3360 R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = R(a(R(x,y,z),1 / x,x),y,z). [para(2709(a,1),3359(a,1,1)),flip(a)]. given #3223 (H,wt=27): 3361 R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = R(K(R(x,y,z),x \ 1),y,z). [para(2706(a,1),3360(a,2,1))]. given #3224 (H,wt=27): 3362 R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = K(R(x,y,z),R(x,y,z) \ 1). [hyper(228,a,2749,a(flip),b,3361,a)]. given #3225 (H,wt=17): 3363 (R(x,y,z) / x) \ (1 / x) = 1 / R(x,y,z). [hyper(17,a,1841,a(flip),b,3362,a)]. given #3226 (H,wt=17): 3364 R(1 / (1 / x),y,z) \ 1 = 1 / R(x,y,z). [hyper(228,a,1679,a,b,3363,a(flip)),flip(a)]. given #3227 (H,wt=17): 3365 R(1 / (1 / x),y,z) = 1 / (1 / R(x,y,z)). [para(3364(a,1),61(a,1,2)),flip(a)]. given #3228 (H,wt=17): 3366 1 / R(x \ 1,y,z) = R(1 / x,y,z) \ 1. [para(61(a,1),3364(a,1,1,1,2)),flip(a)]. given #3229 (H,wt=17): 3367 1 / R((x \ 1) \ 1,y,z) = R(x,y,z) \ 1. [para(138(a,1),3364(a,1,1,1)),flip(a)]. given #3230 (H,wt=17): 3368 1 / (1 / R(x \ 1,y,z)) = R(1 / x,y,z). [para(61(a,1),3365(a,1,1,2)),flip(a)]. given #3231 (H,wt=17): 3369 (R(1 / x,y,z) \ 1) \ 1 = R(x \ 1,y,z). [para(3366(a,1),64(a,1,1))]. given #3232 (H,wt=17): 3370 R((x \ 1) \ 1,y,z) = (R(x,y,z) \ 1) \ 1. [para(3367(a,1),64(a,1,1)),flip(a)]. given #3233 (H,wt=17): 3371 T(x,R(1 / y,z,u)) = T(x,R(y \ 1,z,u)). [para(3368(a,1),3101(a,1,2))]. given #3234 (H,wt=17): 3375 T(x,R((y \ 1) \ 1,z,u)) = T(x,R(y,z,u)). [para(3370(a,2),3103(a,1,2))]. given #3235 (H,wt=22): 3372 R(((x / y) \ 1) \ 1,y,y \ 1) = ((x * (y \ 1)) \ 1) \ 1. [para(495(a,1),3370(a,2,1,1))]. given #3236 (H,wt=22): 3374 R(((x / (1 / y)) \ 1) \ 1,y \ 1,y) = ((x * y) \ 1) \ 1. [para(2816(a,1),3370(a,2,1,1))]. given #3237 (H,wt=17): 3377 T(x * y,x \ (1 / y)) = ((x * y) \ 1) \ 1. [hyper(228,a,2834,a,b,3374,a(flip)),flip(a)]. given #3238 (H,wt=27): 3376 T(x,R((y * K(z \ 1,z)) \ 1,u,w)) = T(x,R(K(z,z \ 1) / y,u,w)). [para(1890(a,1),3371(a,1,2,1)),flip(a)]. given #3239 (H,wt=25): 3378 T(x,R(K(y,y \ 1) / z,u,w)) = T(x,R(z \ K(y,y \ 1),u,w)). [para(2373(a,1),3376(a,1,2,1)),flip(a)]. given #3240 (H,wt=30): 3373 R(((x / y) \ 1) \ 1,y,z) * (y * z) = (y * z) * ((((y * z) \ (x * z)) \ 1) \ 1). [para(3370(a,2),2334(a,1,1))]. given #3241 (H,wt=27): 3379 (x * y) * ((((x * y) \ (z * y)) \ 1) \ 1) = ((((z / x) \ 1) \ 1) * x) * y. [hyper(221,a,3373,a),flip(a)]. given #3242 (H,wt=27): 3380 (x * y) * ((((x * y) \ (z * y)) \ 1) \ 1) = (x * (((x \ z) \ 1) \ 1)) * y. [para(2333(a,1),3379(a,2,1))]. given #3243 (H,wt=30): 3382 ((R(x,y,z) \ 1) \ 1) \ ((x * y) * z) = ((x * y) * ((((x * y) \ y) \ 1) \ 1)) * z. [hyper(228,a,3098,a(flip),b,3380,a(flip)),flip(a)]. given #3244 (H,wt=30): 3383 R((x \ 1) \ 1,y,z) \ ((x * y) * z) = ((x * y) * ((((x * y) \ y) \ 1) \ 1)) * z. [para(3370(a,2),3382(a,1,1))]. given #3245 (H,wt=24): 3384 R((x \ 1) \ 1,y,z) \ ((x * y) * z) = (y * K(x \ 1,x)) * z. [para(2968(a,1),3383(a,2,1))]. given #3246 (H,wt=31): 3381 ((R(x,y,z) \ 1) * R(x,y,z)) * (y * z) = ((x * y) * ((((x * y) \ y) \ 1) \ 1)) * z. [hyper(228,a,3326,a(flip),b,3380,a(flip)),flip(a)]. given #3247 (H,wt=25): 3386 ((R(x,y,z) \ 1) * R(x,y,z)) * (y * z) = (y * K(x \ 1,x)) * z. [para(2968(a,1),3381(a,2,1))]. given #3248 (H,wt=35): 3385 (((x * (y \ 1)) \ 1) \ 1) \ (((x / y) * y) * (y \ 1)) = (y * K((x / y) \ 1,x / y)) * (y \ 1). [para(3372(a,1),3384(a,1,1))]. given #3249 (H,wt=31): 3387 (((x * (y \ 1)) \ 1) \ 1) \ (x * (y \ 1)) = (y * K((x / y) \ 1,x / y)) * (y \ 1). [para(16(a,1),3385(a,1,2,1))]. given #3250 (H,wt=29): 3388 (x * K((y / x) \ 1,y / x)) * (x \ 1) = K((y * (x \ 1)) \ 1,y * (x \ 1)). [hyper(1190,a,3387,a),flip(a)]. given #3251 (H,wt=44): 1154 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(1149(a,1),943(a,2,2))]. given #3252 (H,wt=42): 3390 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(2288(a,1),1154(a,1,1,2))]. given #3253 (H,wt=32): 3391 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(16(a,1),3390(a,1,1,2))]. given #3254 (H,wt=24): 3393 ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1) = K(x \ 1,R(x,y,z)). [para(1149(a,1),3391(a,1,1)),flip(a)]. given #3255 (H,wt=24): 3395 K(x \ 1,R(x,y,z)) \ (x \ 1) = (x \ R(x,y,z)) / R(x,y,z). [para(3393(a,1),2711(a,1,1))]. given #3256 (H,wt=26): 3396 (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) = K(x \ 1,R(x,y,z)) \ 1. [hyper(71,a,3395,a(flip),b,2676,a)]. given #3257 (H,wt=19): 3397 K(x \ 1,R(x,y,z)) \ 1 = K(R(x,y,z),x \ 1). [hyper(2300,a,3396,a),flip(a)]. given #3258 (H,wt=19): 3398 K(R(x,y,z),x \ 1) \ 1 = K(x \ 1,R(x,y,z)). [para(3397(a,1),2465(a,1,1))]. given #3259 (H,wt=19): 3399 x * T(x \ 1,R(x,y,z)) = K(x \ 1,R(x,y,z)). [hyper(2710,a,3398,a)]. given #3260 (H,wt=22): 3400 R(x,y,z) \ R(1 / (1 / x),y,z) = K(x \ 1,R(x,y,z)). [hyper(228,a,2658,a,b,3399,a(flip)),flip(a)]. given #3261 (H,wt=22): 3402 R(x,y,z) * K(x \ 1,R(x,y,z)) = R(1 / (1 / x),y,z). [para(3400(a,1),14(a,1,2))]. given #3262 (H,wt=22): 3403 R(x,y,z) * K(x \ 1,R(x,y,z)) = 1 / (1 / R(x,y,z)). [hyper(228,a,3365,a(flip),b,3402,a)]. given #3263 (H,wt=20): 3404 K(R(x,y,z) \ 1,R(x,y,z)) = K(x \ 1,R(x,y,z)). [hyper(17,a,1809,a,b,3403,a),flip(a)]. given #3264 (H,wt=20): 3405 (R(x,y,z) \ 1) * R(x,y,z) = K(x \ 1,R(x,y,z)). [hyper(348,a,3404,a)]. given #3265 (H,wt=22): 3408 K(x \ 1,R(x,y,z)) * (y * z) = (y * K(x \ 1,x)) * z. [para(3405(a,1),3386(a,1,1))]. given #3266 (H,wt=23): 3401 R(K(x \ 1,R(x,y,z)),y,z) = K(R(x,y,z) \ 1,R(x,y,z)). [para(3399(a,1),2260(a,1,1))]. given #3267 (H,wt=23): 3407 K(x \ 1,R(x,y,z)) != u | K(R(x,y,z) \ 1,R(x,y,z)) = u. [para(3405(a,1),315(a,1))]. given #3268 (H,wt=25): 3409 (x * K(y \ 1,y)) * z != u * (x * z) | K(y \ 1,R(y,x,z)) = u. [para(3408(a,1),20(a,1))]. given #3269 (H,wt=26): 3410 K(x,R(x \ 1,y,z)) * (y * z) = (y * K((x \ 1) \ 1,x \ 1)) * z. [para(2857(a,1),3408(a,1,1))]. given #3270 (H,wt=22): 3412 K(x,R(x \ 1,y,z)) * (y * z) = (y * K(x,x \ 1)) * z. [para(813(a,1),3410(a,2,1,2))]. given #3271 (H,wt=25): 3413 K(x,R(x \ 1,y,z)) * (y * z) != u * z | y * K(x,x \ 1) = u. [para(3412(a,2),20(a,1))]. given #3272 (H,wt=27): 3411 K(R(x \ 1,y,z) \ 1,R(x \ 1,y,z)) = R(K(x,R(x \ 1,y,z)),y,z). [para(2857(a,1),3401(a,1,1)),flip(a)]. given #3273 (H,wt=24): 3414 R(K(x,R(x \ 1,y,z)),y,z) = K((x \ 1) \ 1,R(x \ 1,y,z)). [hyper(228,a,3404,a(flip),b,3411,a(flip))]. given #3274 (H,wt=20): 3415 R(K(x,R(x \ 1,y,z)),y,z) = K(x,R(x \ 1,y,z)). [hyper(228,a,2857,a(flip),b,3414,a)]. given #3275 (H,wt=25): 3416 (K(x,R(x \ 1,y,z)) * y) * z = K(x,R(x \ 1,y,z)) * (y * z). [para(3415(a,1),109(a,1,1)),flip(a)]. given #3276 (H,wt=13): 3417 L(x,y,K(z,R(z \ 1,y,x))) = x. [hyper(445,a,3416,a)]. given #3277 (H,wt=18): 3418 K(x,R(x \ 1,y,z)) * y = y * K(x,x \ 1). [hyper(18,a,3412,a(flip),b,3416,a)]. given #3278 (H,wt=14): 3419 K(x,R(x \ 1,y,z)) = K(x,x \ 1). [hyper(18,a,2341,a,b,3418,a)]. given #3279 (H,wt=10): 3423 L(x,y,K(z,z \ 1)) = x. [para(3419(a,1),3417(a,1,3))]. given #3280 (H,wt=10): 3433 L(x,y,K(z,1 / z)) = x. [para(1839(a,2),3423(a,1,3))]. given #3281 (H,wt=10): 3434 L(x,y,K(z \ 1,z)) = x. [para(1845(a,1),3423(a,1,3))]. given #3282 (H,wt=12): 3437 L(x,y,K(z \ u,u \ z)) = x. [para(2443(a,1),3423(a,1,3))]. given #3283 (H,wt=13): 3441 L(x,y,1 / z) = L(x,y,z \ 1). [hyper(3346,a,3434,a),flip(a)]. given #3284 (H,wt=13): 3452 L(x,y,(z \ 1) \ 1) = L(x,y,z). [para(61(a,1),3441(a,1,3)),flip(a)]. given #3285 (H,wt=17): 3431 K(x,x \ 1) * (1 / y) = K(x,x \ 1) / y. [para(3423(a,1),388(a,1,2)),flip(a)]. given #3286 (H,wt=17): 3435 ((x \ 1) \ 1) / (y \ x) = K(x,x \ 1) * y. [para(3423(a,1),1825(a,1,2))]. given #3287 (H,wt=17): 3436 K(x,x \ 1) * ((x \ 1) / y) = (1 / x) / y. [para(3423(a,1),1873(a,1,2)),flip(a)]. given #3288 (H,wt=17): 3440 K(x,1 / x) * (1 / y) = K(x,1 / x) / y. [para(3433(a,1),388(a,1,2)),flip(a)]. given #3289 (H,wt=17): 3446 K(x \ 1,x) * (1 / y) = K(x \ 1,x) / y. [para(3434(a,1),388(a,1,2)),flip(a)]. given #3290 (H,wt=17): 3453 L(x,T(1 / y,z),y) = L(x,T(y \ 1,z),y). [hyper(3287,a,3452,a)]. given #3291 (H,wt=17): 3454 (1 / x) * K(y,y \ 1) = K(y,y \ 1) / x. [hyper(2347,a,3431,a)]. given #3292 (H,wt=17): 3456 ((x \ 1) \ 1) / (y \ x) = y * K(x,x \ 1). [hyper(228,a,2341,a(flip),b,3435,a)]. given #3293 (H,wt=17): 3458 ((x \ 1) / y) * K(x,x \ 1) = (1 / x) / y. [hyper(2347,a,3436,a)]. given #3294 (H,wt=17): 3459 (1 / x) * K(y \ 1,y) = K(y \ 1,y) / x. [hyper(2358,a,3446,a)]. given #3295 (H,wt=15): 3463 K(x \ 1,x) / y = (x \ 1) * (x / y). [hyper(228,a,3080,a(flip),b,3459,a(flip))]. given #3296 (H,wt=17): 3461 (x / y) * K(x,x \ 1) = ((x \ 1) \ 1) / y. [para(64(a,1),3456(a,1,2)),flip(a)]. given #3297 (H,wt=17): 3465 K(x \ 1,x) * (((x \ 1) \ 1) / y) = x / y. [hyper(2917,a,3461,a)]. given #3298 (H,wt=19): 3422 (x * K(y,y \ 1)) * z = K(y,y \ 1) * (x * z). [para(3419(a,1),3412(a,1,1)),flip(a)]. given #3299 (H,wt=19): 3429 (K(x,x \ 1) * y) \ (K(x,x \ 1) * z) = y \ z. [hyper(228,a,102,a(flip),b,3423,a(flip)),flip(a)]. given #3300 (H,wt=19): 3430 (K(x,x \ 1) * y) * z = K(x,x \ 1) * (y * z). [para(3423(a,1),100(a,1,2))]. given #3301 (H,wt=19): 3432 (K(x,x \ 1) * y) / z = K(x,x \ 1) * (y / z). [para(3423(a,1),506(a,1,2))]. given #3302 (H,wt=19): 3439 (K(x,1 / x) * y) * z = K(x,1 / x) * (y * z). [para(3433(a,1),100(a,1,2))]. given #3303 (H,wt=19): 3444 (K(x \ 1,x) * y) \ (K(x \ 1,x) * z) = y \ z. [hyper(228,a,102,a(flip),b,3434,a(flip)),flip(a)]. given #3304 (H,wt=19): 3445 (K(x \ 1,x) * y) * z = K(x \ 1,x) * (y * z). [para(3434(a,1),100(a,1,2))]. given #3305 (H,wt=19): 3447 (K(x \ 1,x) * y) / z = K(x \ 1,x) * (y / z). [para(3434(a,1),506(a,1,2))]. given #3306 (H,wt=17): 3485 K(x \ 1,x) * (x / y) = (1 / (1 / x)) / y. [para(1819(a,1),3447(a,1,1)),flip(a)]. given #3307 (H,wt=19): 3448 (x * K(y \ 1,y)) * z = K(y \ 1,y) * (x * z). [para(3434(a,1),2371(a,1,2))]. given #3308 (H,wt=14): 3488 K(x \ 1,R(x,y,z)) = K(x \ 1,x). [hyper(3409,a,3448,a)]. given #3309 (H,wt=17): 3495 K(R(x,y,z) \ 1,R(x,y,z)) = K(x \ 1,x). [hyper(3407,a,3488,a)]. given #3310 (H,wt=19): 3469 K(x,x \ 1) * ((K(x \ 1,x) * y) * z) = y * z. [para(2908(a,1),3422(a,1,1)),flip(a)]. given #3311 (H,wt=19): 3471 (x * K(y \ 1,y)) \ z = x \ (K(y,y \ 1) * z). [para(2923(a,1),3429(a,1,1)),flip(a)]. given #3312 (H,wt=19): 3472 (K(x,x \ 1) * y) \ z = y \ (z * K(x \ 1,x)). [para(2923(a,1),3429(a,1,2))]. given #3313 (H,wt=19): 3478 (K(x,1 / x) * y) * z = (y * z) * K(x,1 / x). [hyper(228,a,2351,a(flip),b,3439,a)]. given #3314 (H,wt=19): 3480 (x * K(y,y \ 1)) \ z = x \ (K(y \ 1,y) * z). [para(2910(a,1),3444(a,1,1)),flip(a)]. given #3315 (H,wt=19): 3486 (x * K(y \ 1,y)) / z = K(y \ 1,y) * (x / z). [para(2353(a,1),3447(a,1,1))]. given #3316 (H,wt=19): 3500 K(x \ 1,x) * (1 / R(x,y,z)) = R(x,y,z) \ 1. [para(3495(a,1),1806(a,1,1))]. given #3317 (H,wt=19): 3501 (x * K(y \ 1,y)) \ (z * K(y \ 1,y)) = x \ z. [para(2923(a,1),3471(a,2,2))]. given #3318 (H,wt=19): 3502 (x * K(y,1 / y)) / z = K(y,1 / y) * (x / z). [hyper(72,a,87,a(flip),b,3478,a)]. given #3319 (H,wt=20): 3428 R(T(x,y * K(z,z \ 1)),y,K(z,z \ 1)) = T(x,y). [hyper(228,a,2712,a,b,3423,a(flip)),flip(a)]. given #3320 (H,wt=20): 3443 R(T(x,y * K(z \ 1,z)),y,K(z \ 1,z)) = T(x,y). [hyper(228,a,2713,a,b,3434,a(flip)),flip(a)]. given #3321 (H,wt=20): 3455 K(x,x \ 1) / y != z | (1 / y) * K(x,x \ 1) = z. [para(3431(a,1),2347(a,1))]. given #3322 (H,wt=20): 3464 K(x \ 1,x) / y != (1 / y) * z | K(x \ 1,x) = z. [para(3459(a,1),19(a,1))]. given #3323 (H,wt=21): 3473 (x \ y) \ (K(x,x \ 1) * z) = (((x \ 1) \ 1) \ y) \ z. [para(2982(a,1),3429(a,1,1))]. given #3324 (H,wt=21): 3475 K(x,x \ 1) * ((y \ 1) * z) = ((y \ x) * (1 / x)) * z. [para(2950(a,1),3430(a,1,1)),flip(a)]. given #3325 (H,wt=21): 3479 K(x,1 / x) * ((x \ y) * z) = ((1 / (1 / x)) \ y) * z. [para(3064(a,1),3439(a,1,1)),flip(a)]. given #3326 (H,wt=21): 3481 ((x \ 1) * y) \ (K(x \ 1,x) * z) = ((1 / x) * y) \ z. [para(2987(a,1),3444(a,1,1))]. given #3327 (H,wt=21): 3484 T(K(x \ 1,x) * (y / z),z) = z \ (K(x \ 1,x) * y). [para(3447(a,1),115(a,1,1))]. given #3328 (H,wt=21): 3487 (1 / (1 / x)) / T(y,y \ x) = K(x \ 1,x) * (y \ x). [para(199(a,1),3485(a,1,2)),flip(a)]. given #3329 (H,wt=21): 3489 K(x \ 1,x) * (y * T((x \ 1) \ 1,z)) = y * T(x,z). [hyper(3202,a,3448,a),flip(a)]. given #3330 (H,wt=21): 3497 (x \ R(x,y,z)) * K(x \ 1,x) = (x \ 1) * R(x,y,z). [para(3488(a,1),1150(a,1,2))]. given #3331 (H,wt=15): 3515 (1 / x) * R(x,y,z) = x \ R(x,y,z). [hyper(18,a,3027,a,b,3497,a),flip(a)]. given #3332 (H,wt=13): 3517 R(x,y,z) / x = x \ R(x,y,z). [hyper(228,a,1666,a(flip),b,3515,a(flip)),flip(a)]. given #3333 (H,wt=13): 3518 (x \ R(x,y,z)) * x = R(x,y,z). [para(3517(a,1),16(a,1,1))]. given #3334 (H,wt=10): 3521 T(x,x \ R(x,y,z)) = x. [hyper(266,a,3518,a)]. given #3335 (H,wt=17): 3519 (x \ R(x,y,z)) \ 1 = x * (R(x,y,z) \ 1). [para(3517(a,1),120(a,1,1))]. given #3336 (H,wt=15): 3522 (x \ R(x,y,z)) \ 1 = R(x,y,z) \ x. [hyper(228,a,1225,a(flip),b,3519,a)]. given #3337 (H,wt=17): 3523 (x \ 1) \ (R(x,y,z) \ 1) = R(x,y,z) \ x. [hyper(228,a,1151,a,b,3522,a(flip)),flip(a)]. given #3338 (H,wt=17): 3524 T(R(x,y,z) \ x,x \ 1) = R(x,y,z) \ x. [hyper(383,a,3523,a)]. given #3339 (H,wt=12): 3525 K(R(x,y,z) \ x,x \ 1) = 1. [hyper(36,a,3524,a)]. given #3340 (H,wt=21): 3505 (1 / x) \ (1 / R(x,y,z)) = (x \ 1) \ (R(x,y,z) \ 1). [hyper(71,a,3500,a(flip),b,3024,a),flip(a)]. given #3341 (H,wt=17): 3526 (1 / x) \ (1 / R(x,y,z)) = R(x,y,z) \ x. [hyper(228,a,3523,a(flip),b,3505,a)]. given #3342 (H,wt=13): 3527 x / R(x,y,z) = R(x,y,z) \ x. [hyper(228,a,320,a(flip),b,3526,a(flip)),flip(a)]. given #3343 (H,wt=13): 3528 (R(x,y,z) \ x) * R(x,y,z) = x. [para(3527(a,1),16(a,1,1))]. given #3344 (H,wt=22): 3503 (K(x,1 / x) * y) * z != u * K(x,1 / x) | y * z = u. [para(3478(a,2),20(a,1))]. given #3345 (H,wt=23): 3450 (K(x \ y,y \ x) * z) * u = K(x \ y,y \ x) * (z * u). [para(3437(a,1),100(a,1,2))]. given #3346 (H,wt=23): 3476 (K(x,x \ 1) * (y \ 1)) / z = K(x,x \ 1) * (y \ (1 / z)). [para(304(a,1),3432(a,2,2))]. given #3347 (H,wt=21): 3531 K(x,x \ 1) * (y \ (1 / z)) = ((y \ x) * (1 / x)) / z. [para(2950(a,1),3476(a,1,1)),flip(a)]. given #3348 (H,wt=23): 3506 T(x,x \ y) = ((x \ y) * K(z \ 1,z)) \ (y * K(z \ 1,z)). [hyper(228,a,114,a,b,3501,a),flip(a)]. given #3349 (H,wt=23): 3520 R(x \ R(x,y,z),x,y * z) = ((x * y) * z) / (x * (y * z)). [para(3517(a,1),503(a,1,1))]. given #3350 (H,wt=23): 3530 (x * K(y \ z,z \ y)) * u = K(y \ z,z \ y) * (x * u). [para(2459(a,1),3450(a,1,1))]. given #3351 (H,wt=21): 3533 (1 / x) * K(y \ z,z \ y) = K(y \ z,z \ y) / x. [hyper(72,a,63,a(flip),b,3530,a),flip(a)]. given #3352 (H,wt=24): 3512 K(x,x \ 1) * y != ((z \ x) * (1 / x)) * u | (z \ 1) * u = y. [para(3475(a,1),19(a,1)),flip(a)]. given #3353 (H,wt=24): 3534 (x * K(y \ z,z \ y)) * (x \ 1) != u | K(y \ z,z \ y) = u. [para(3530(a,2),154(a,1)),flip(b)]. given #3354 (H,wt=25): 3451 L(x,y,y \ 1) \ ((1 / y) * (x * y)) = L(K(x,y),y * x,y \ 1). [hyper(228,a,2999,a,b,3441,a(flip)),flip(a)]. given #3355 (H,wt=25): 3511 K(x * y,(x * y) \ 1) * ((x \ 1) * z) = (y * (1 / (x * y))) * z. [para(13(a,1),3475(a,2,1,1))]. given #3356 (H,wt=25): 3535 K(x * y,y \ (x \ 1)) * ((x \ 1) * z) = (y * (1 / (x * y))) * z. [para(118(a,1),3511(a,1,1,2))]. given #3357 (H,wt=26): 3460 L(T(1 / x,y) \ z,T(x \ 1,y),x) = (x * T(1 / x,y)) \ (x * z). [hyper(228,a,102,a(flip),b,3453,a(flip))]. given #3358 (H,wt=26): 3468 (K(x,x \ 1) * (y * z)) / (K(x,x \ 1) * z) = R(y,K(x,x \ 1),z). [hyper(72,a,3422,a(flip),b,109,a)]. given #3359 (H,wt=17): 3536 R(x,K(y,y \ 1),z) = R(x,z,K(y,y \ 1)). [hyper(228,a,2421,a(flip),b,3468,a(flip))]. given #3360 (H,wt=21): 3537 R(x,y,K(z \ 1,(z \ 1) \ 1)) = R(x,K(z \ 1,z),y). [para(1845(a,1),3536(a,1,2)),flip(a)]. given #3361 (H,wt=17): 3538 R(x,K(y \ 1,y),z) = R(x,z,K(y \ 1,y)). [para(1845(a,1),3537(a,1,3)),flip(a)]. given #3362 (H,wt=26): 3477 R(K(x,x \ 1) * (y / z),z,K(x \ 1,x)) = y / (z * K(x \ 1,x)). [para(3432(a,1),2937(a,1,1))]. given #3363 (H,wt=26): 3483 ((K(x \ 1,x) * (y * z)) * u) / (z * u) = R(K(x \ 1,x) * y,z,u). [para(3445(a,1),30(a,2,1,1)),flip(a)]. given #3364 (H,wt=26): 3510 R(T(x,y / (1 / z)),y / (z \ 1),K(z \ 1,z)) = T(x,y / (z \ 1)). [para(2826(a,1),3443(a,1,1,2))]. given #3365 (H,wt=26): 3529 R((x / y) / z,z,y) \ ((x / y) / z) = ((x / y) / z) / (x / (z * y)). [para(226(a,1),3527(a,1,2)),flip(a)]. given #3366 (H,wt=23): 3540 ((x / y) / z) / (x / (z * y)) = (x / (z * y)) \ ((x / y) / z). [para(226(a,1),3529(a,1,1)),flip(a)]. given #3367 (H,wt=26): 3539 (K(x \ 1,x) * ((y * z) * u)) / (z * u) = R(K(x \ 1,x) * y,z,u). [para(3445(a,1),3483(a,1,1))]. given #3368 (H,wt=26): 3541 K(x \ 1,x) * (((y * z) * u) / (z * u)) = R(K(x \ 1,x) * y,z,u). [hyper(228,a,3447,a(flip),b,3539,a(flip)),flip(a)]. given #3369 (H,wt=21): 3542 R(K(x \ 1,x) * y,z,u) = K(x \ 1,x) * R(y,z,u). [para(30(a,2),3541(a,1,2)),flip(a)]. given #3370 (H,wt=21): 3544 K(x,x \ 1) * R(K(x \ 1,x) * y,z,u) = R(y,z,u). [hyper(2934,a,3542,a(flip))]. given #3371 (H,wt=19): 3545 K(x,x \ 1) * R(x \ 1,y,z) = R(1 / x,y,z). [para(1806(a,1),3544(a,1,2,1))]. given #3372 (H,wt=21): 3546 R(K(x,x \ 1) * y,z,u) = K(x,x \ 1) * R(y,z,u). [para(2915(a,1),3544(a,1,2,1)),flip(a)]. given #3373 (H,wt=21): 3547 R(K(x,x \ 1) * y,z,u) = R(y,z,u) * K(x,x \ 1). [hyper(228,a,2341,a(flip),b,3546,a)]. given #3374 (H,wt=27): 3496 K(((x / y) / z) \ 1,(x / y) / z) = K(((x / y) / z) \ 1,x / (z * y)). [para(226(a,1),3488(a,1,2)),flip(a)]. given #3375 (H,wt=27): 3513 (x \ T(x,(x \ 1) * y)) * y = y * K(((1 / x) * y) \ y,(x \ 1) * y). [para(3481(a,1),3351(a,1,2,1)),flip(a)]. given #3376 (H,wt=27): 3543 R(K(x \ 1,x) * (y * T(x,x \ 1)),z,u) = (x \ R(x * y,z,u)) * x. [hyper(228,a,3258,a(flip),b,3542,a)]. given #3377 (H,wt=17): 3549 (x \ R(x * y,z,u)) * x = R(y * x,z,u). [para(2886(a,1),3543(a,1,1)),flip(a)]. given #3378 (H,wt=17): 3550 R(x * y,z,u) / y = y \ R(y * x,z,u). [hyper(85,a,3549,a)]. given #3379 (H,wt=17): 3551 R((x \ y) * x,z,u) = (x \ R(y,z,u)) * x. [para(14(a,1),3549(a,1,1,2,1)),flip(a)]. given #3380 (H,wt=17): 3552 x \ R(x * (y / x),z,u) = R(y,z,u) / x. [para(16(a,1),3550(a,1,1,1)),flip(a)]. given #3381 (H,wt=17): 3556 R(x * (y / x),z,u) = x * (R(y,z,u) / x). [para(3552(a,1),14(a,1,2)),flip(a)]. given #3382 (H,wt=22): 3553 R((x \ (y / z)) * x,z,z \ 1) = (x \ (y * (z \ 1))) * x. [para(495(a,1),3551(a,2,1,2))]. given #3383 (H,wt=22): 3555 R((x \ (y / (1 / z))) * x,z \ 1,z) = (x \ (y * z)) * x. [para(2816(a,1),3551(a,2,1,2))]. given #3384 (H,wt=17): 3559 (x \ (x * y)) * x = (x * (y \ T(y,x))) * y. [hyper(228,a,3328,a(flip),b,3555,a(flip))]. given #3385 (H,wt=13): 3562 (x * (y \ T(y,x))) * y = y * x. [para(13(a,1),3559(a,1,1)),flip(a)]. given #3386 (H,wt=13): 3563 x * (y \ T(y,x)) = (y * x) / y. [hyper(85,a,3562,a),flip(a)]. given #3387 (H,wt=13): 3565 x \ ((y * x) / y) = y \ T(y,x). [hyper(77,a,3563,a)]. given #3388 (H,wt=13): 3568 T(x,y) \ x = y \ T(y,T(x,y)). [hyper(71,a,166,a(flip),b,3563,a)]. given #3389 (H,wt=13): 3570 ((x * y) / x) / y = x \ T(x,y). [hyper(17,a,2535,a,b,3563,a),flip(a)]. given #3390 (H,wt=13): 3571 (x \ T(x,y)) * y = (x * y) / x. [hyper(228,a,2515,a,b,3563,a(flip)),flip(a)]. given #3391 (H,wt=13): 3576 ((x * y) / x) \ y = T(x,y) \ x. [para(3563(a,1),2638(a,1,1))]. given #3392 (H,wt=13): 3577 (T(x,y) \ x) * ((x * y) / x) = y. [para(3563(a,1),2673(a,1,2))]. given #3393 (H,wt=13): 3583 T(x,T(y,x)) \ x = y \ T(y,x). [para(166(a,1),3576(a,1,1)),flip(a)]. given #3394 (H,wt=13): 3588 (x \ T(x,y)) \ y = T(y,T(x,y)). [para(3583(a,1),2490(a,1,1))]. given #3395 (H,wt=15): 3564 (x \ y) * (x \ T(x,x \ y)) = y / x. [hyper(72,a,14,a(flip),b,3562,a),flip(a)]. given #3396 (H,wt=15): 3573 ((x * y) / x) * (y \ 1) = x \ T(x,y). [para(3563(a,1),2186(a,1,1))]. given #3397 (H,wt=15): 3582 T(x,x \ y) \ x = (y / x) \ (x \ y). [para(14(a,1),3576(a,1,1,1)),flip(a)]. given #3398 (H,wt=15): 3586 K(x \ (T(y,x) \ y),x) = K(x \ 1,x). [para(3576(a,1),2722(a,1,1,2))]. given #3399 (H,wt=15): 3590 (x \ y) * (x \ ((x \ y) \ y)) = y / x. [para(114(a,1),3564(a,1,2,2))]. given #3400 (H,wt=15): 3592 (x \ y) \ (y / x) = x \ ((x \ y) \ y). [hyper(77,a,3590,a)]. given #3401 (H,wt=16): 3578 L(x \ T(x,y),y,x) = K(x,(x * y) / x). [para(3565(a,1),461(a,1,1))]. given #3402 (H,wt=16): 3594 K(x,y) = L(x \ T(x,T(y,x)),T(y,x),x). [para(166(a,1),3578(a,2,2)),flip(a)]. given #3403 (H,wt=17): 3567 (x / y) \ T(x / y,y) = y \ (x / (x / y)). [hyper(71,a,225,a(flip),b,3563,a),flip(a)]. given #3404 (H,wt=15): 3595 (x / y) \ (y \ x) = y \ (x / (x / y)). [para(115(a,1),3567(a,1,2))]. given #3405 (H,wt=15): 3596 T(x,x \ y) \ x = x \ (y / (y / x)). [hyper(228,a,3582,a,b,3595,a(flip)),flip(a)]. given #3406 (H,wt=15): 3597 x / (x / y) = y * (T(y,y \ x) \ y). [para(3596(a,2),14(a,1,2)),flip(a)]. given #3407 (H,wt=17): 3569 x * ((y * (x \ 1)) / y) = y \ T(y,x \ 1). [hyper(17,a,2541,a,b,3563,a),flip(a)]. given #3408 (H,wt=15): 3600 K(x,(x / y) / x) = x \ T(x,y \ 1). [hyper(1603,a,3569,a)]. given #3409 (H,wt=15): 3610 x * K(x,(x / y) / x) = T(x,y \ 1). [para(3600(a,2),14(a,1,2))]. given #3410 (H,wt=13): 3611 T(x,x / (x * y)) = T(x,y \ 1). [hyper(228,a,1609,a(flip),b,3610,a(flip)),flip(a)]. given #3411 (H,wt=13): 3617 T(x,x / (y * x)) = T(x,y \ 1). [hyper(228,a,2588,a,b,3611,a(flip)),flip(a)]. given #3412 (H,wt=15): 3612 T(x,(y \ x) \ 1) = x * K(x,y / x). [para(61(a,1),3610(a,1,2,2,1)),flip(a)]. given #3413 (H,wt=15): 3614 (x * ((x / y) / x)) * y = T(x,y \ 1). [hyper(2116,a,3611,a)]. given #3414 (H,wt=15): 3618 T(x,y \ 1) / y = x * ((x / y) / x). [hyper(72,a,3611,a(flip),b,2110,a)]. given #3415 (H,wt=15): 3620 x * (y * ((x \ y) / y)) = T(y,x \ 1). [hyper(1120,a,3617,a)]. given #3416 (H,wt=15): 3621 x \ T(y,x \ 1) = y * ((x \ y) / y). [hyper(71,a,3617,a(flip),b,1119,a)]. given #3417 (H,wt=15): 3625 x \ (y \ T(x,y \ 1)) = (y \ x) / x. [hyper(71,a,3621,a,b,xx)]. given #3418 (H,wt=17): 3589 (x * T(x \ 1,y)) \ y = T(y,T(x \ 1,y)). [para(2558(a,1),3588(a,1,1))]. given #3419 (H,wt=17): 3599 (x * y) / ((x * y) / x) = x * (T(x,y) \ x). [para(13(a,1),3597(a,2,2,1,2))]. given #3420 (H,wt=17): 3619 T(x * ((x / y) / x),y) = y \ T(x,y \ 1). [para(3611(a,1),2112(a,1,2)),flip(a)]. given #3421 (H,wt=17): 3622 T(x,(y \ x) \ 1) / (y \ x) = x * (y / x). [para(61(a,1),3618(a,2,2,1))]. given #3422 (H,wt=17): 3623 T(x,y) / (1 / y) = x * ((x / (1 / y)) / x). [para(64(a,1),3618(a,1,1,2))]. given #3423 (H,wt=17): 3626 (x / y) \ T(x,(x / y) \ 1) = x * (y / x). [para(64(a,1),3621(a,2,2,1))]. given #3424 (H,wt=17): 3631 x / (y \ ((y * x) / y)) = y * (T(y,x) \ y). [hyper(228,a,1104,a(flip),b,3599,a(flip)),flip(a)]. given #3425 (H,wt=17): 3634 x \ (T(x,y) / (1 / y)) = (x / (1 / y)) / x. [hyper(71,a,3623,a,b,xx)]. given #3426 (H,wt=17): 3636 (x * (T(x,y) \ x)) \ y = x \ ((x * y) / x). [para(3631(a,1),64(a,1,1))]. given #3427 (H,wt=18): 3572 (x * y) \ ((x * y) / x) = L(x \ 1,T(x,y),y). [para(3563(a,1),924(a,1,2))]. given #3428 (H,wt=18): 3593 (x \ y) \ (y / x) != z | x \ ((x \ y) \ y) = z. [para(3590(a,1),284(a,1,2)),flip(b)]. given #3429 (H,wt=18): 3598 x * (T(x,x \ y) \ x) != z | y / (y / x) = z. [para(3596(a,2),213(a,1,2)),flip(b)]. given #3430 (H,wt=18): 3605 x \ T(x,y \ 1) != z | K(x,(x / y) / x) = z. [para(3569(a,1),1603(a,1))]. given #3431 (H,wt=18): 3627 x * R(1 / y,y,y \ x) = y \ T(x,y \ 1). [para(361(a,2),3621(a,2,2)),flip(a)]. given #3432 (H,wt=19): 3574 ((x \ 1) * y) / (x \ 1) = y * (x * T(x \ 1,y)). [para(2558(a,1),3563(a,1,2)),flip(a)]. given #3433 (H,wt=19): 3602 (x * ((y \ x) / x)) / (y \ x) = x \ T(x,y \ 1). [hyper(228,a,1156,a,b,3569,a(flip)),flip(a)]. given #3434 (H,wt=19): 3606 T(x \ T(x,y \ 1),z) = K(x,(x / T(y,z)) / x). [para(3569(a,1),1747(a,1,1))]. given #3435 (H,wt=19): 3613 T(x,T(y,y \ x) \ 1) = x * K(x,(y \ x) / x). [para(199(a,1),3610(a,1,2,2,1)),flip(a)]. given #3436 (H,wt=19): 3624 x * ((x * y) * (y / (x * y))) = T(x * y,x \ 1). [para(13(a,1),3620(a,1,2,2,1))]. given #3437 (H,wt=19): 3635 (((x / y) \ 1) \ y) * ((x / y) \ 1) = x * (y / x). [hyper(228,a,949,a(flip),b,3626,a(flip)),flip(a)]. given #3438 (H,wt=19): 3640 x \ T(x,T(y,z) \ 1) = T(x \ T(x,y \ 1),z). [hyper(228,a,3600,a(flip),b,3606,a),flip(a)]. given #3439 (H,wt=19): 3642 ((x \ 1) \ y) * (x \ 1) = (x * y) * (y / (x * y)). [hyper(17,a,948,a,b,3624,a),flip(a)]. given #3440 (H,wt=19): 3645 ((x \ 1) * y) * (y / ((x \ 1) * y)) = (x \ y) * x. [hyper(228,a,3018,a(flip),b,3642,a(flip))]. given #3441 (H,wt=18): 3646 ((x \ 1) * y) * R(x,x \ 1,y) = (x \ y) * x. [para(159(a,2),3645(a,1,2))]. given #3442 (H,wt=20): 3579 R(T(x,y) \ x,y,z) = (T(y,T(x,y)) * z) / (y * z). [para(3568(a,2),2561(a,1,1))]. given #3443 (H,wt=20): 3580 R(x \ T(x,y),y,z) \ (((x * y) / x) * z) = y * z. [para(3570(a,1),473(a,1,1,1))]. given #3444 (H,wt=20): 3632 (x * y) / ((x * y) / x) != x * z | T(x,y) \ x = z. [para(3599(a,2),19(a,1))]. given #3445 (H,wt=21): 3604 x \ (y * ((z * (y \ x)) / z)) = z \ T(z,(x \ y) \ 1). [hyper(228,a,1744,a(flip),b,3569,a(flip)),flip(a)]. given #3446 (H,wt=21): 3609 R(x \ T(x,y \ 1),z,u) = K(x,(x / R(y,z,u)) / x). [para(3569(a,1),2745(a,1,1))]. given #3447 (H,wt=21): 3649 R(x \ T(x,y \ 1),z,u) = x \ T(x,R(y,z,u) \ 1). [hyper(228,a,3600,a(flip),b,3609,a)]. given #3448 (H,wt=22): 3628 R(x,(y \ x) / x,x) = ((y \ T(x,y \ 1)) * x) / (y \ x). [para(3621(a,2),111(a,1,1,1)),flip(a)]. given #3449 (H,wt=22): 3629 x * ((y \ x) / x) != z * u | (y \ T(x,y \ 1)) / u = z. [para(3625(a,1),276(a,1,2))]. given #3450 (H,wt=22): 3630 x * ((y \ x) / x) != z * u | z \ (y \ T(x,y \ 1)) = u. [para(3625(a,1),374(a,1,2))]. given #3451 (H,wt=22): 3641 T(x,T(y,y \ x) \ 1) != x * z | K(x,(y \ x) / x) = z. [para(3613(a,2),19(a,1))]. given #3452 (H,wt=23): 3558 ((x \ (y * (z \ 1))) * x) / (z \ 1) = ((x \ (y / z)) * x) * z. [hyper(72,a,3553,a(flip),b,194,a)]. given #3453 (H,wt=23): 3560 ((x \ (y / (1 / z))) * x) * (1 / z) = ((x \ (y * z)) * x) / z. [hyper(72,a,3555,a(flip),b,2813,a),flip(a)]. given #3454 (H,wt=21): 3650 x * (T((x \ y) * z,x) / z) = ((x \ (y * z)) * x) / z. [hyper(228,a,1300,a(flip),b,3560,a(flip)),flip(a)]. given #3455 (H,wt=23): 3603 L(x * ((y * (x \ 1)) / y),z,u) = y \ T(y,L(x,z,u) \ 1). [hyper(228,a,2735,a(flip),b,3569,a(flip)),flip(a)]. given #3456 (H,wt=21): 3651 L(x \ T(x,y \ 1),z,u) = x \ T(x,L(y,z,u) \ 1). [para(3569(a,1),3603(a,1,1))]. given #3457 (H,wt=23): 3607 K(x,(x / y) / x) * (y * z) = y * ((x \ T(x,y \ 1)) * z). [para(3569(a,1),2100(a,2,2,1))]. given #3458 (H,wt=23): 3652 (x \ T(x,y \ 1)) * (y * z) = y * ((x \ T(x,y \ 1)) * z). [para(3600(a,1),3607(a,1,1))]. given #3459 (H,wt=24): 3637 x * ((x / (1 / y)) / x) != z * u | z \ (T(x,y) / (1 / y)) = u. [para(3634(a,1),374(a,1,2))]. given #3460 (H,wt=24): 3638 x * R(1 / (1 / y),1 / y,(1 / y) \ x) = (1 / y) \ T(x,y). [para(64(a,1),3627(a,2,2,2))]. given #3461 (H,wt=24): 3643 x \ (y * (x / y)) != z | K(((y / x) \ 1) \ x,(y / x) \ 1) = z. [para(3635(a,1),425(a,1,2))]. given #3462 (H,wt=24): 3653 x * R(1 / (1 / y),y \ 1,(1 / y) \ x) = (1 / y) \ T(x,y). [para(3317(a,1),3638(a,1,2))]. given #3463 (H,wt=23): 3654 K(x,((y \ 1) \ x) / x) = ((1 / y) \ x) \ ((1 / y) \ T(x,y)). [para(3653(a,1),3325(a,1,2)),flip(a)]. given #3464 (H,wt=19): 3655 K(x \ ((x \ 1) \ y),x) = K(y,((x \ 1) \ y) / y). [hyper(228,a,3257,a(flip),b,3654,a),flip(a)]. given #3465 (H,wt=25): 3566 R(x,y,y \ 1) \ ((y * x) * (y \ 1)) = y \ T(y,R(x,y,y \ 1)). [hyper(71,a,748,a(flip),b,3563,a)]. given #3466 (H,wt=25): 3575 ((L(x \ 1,x,y) \ 1) * y) / (L(x \ 1,x,y) \ 1) = y * K(x,y). [para(2590(a,2),3563(a,1,2)),flip(a)]. given #3467 (H,wt=13): 3656 T(K(x,y),x * K(z,x)) = K(x,y). [para(3575(a,1),3169(a,1,2))]. given #3468 (H,wt=19): 3657 K(x,y) * (x * K(z,x)) = (x * K(z,x)) * K(x,y). [para(3656(a,1),113(a,1,2)),flip(a)]. given #3469 (H,wt=25): 3639 (((x * y) \ 1) * x) / ((x * y) \ 1) = x * (((x \ (1 / y)) * x) * y). [para(1049(a,1),3574(a,2,2))]. given #3470 (H,wt=25): 3647 ((((x \ 1) * y) * x) / ((x \ 1) * y)) * (x \ 1) = ((x \ y) * x) / y. [hyper(72,a,3646,a(flip),b,791,a),flip(a)]. given #3471 (H,wt=21): 3660 ((x \ 1) * y) \ T((x \ 1) * y,x) = ((x \ y) * x) / y. [hyper(228,a,3573,a(flip),b,3647,a(flip)),flip(a)]. given #3472 (H,wt=18): 3661 L(K(x \ y,x),y,x \ 1) = ((x \ y) * x) / y. [hyper(228,a,1739,a(flip),b,3660,a(flip)),flip(a)]. given #3473 (H,wt=22): 3662 ((x \ (x * y)) * x) / (x * y) = L(K(y,x),x * y,x \ 1). [para(13(a,1),3661(a,1,1,1)),flip(a)]. given #3474 (H,wt=18): 3663 L(K(x,y),y * x,y \ 1) = (x * y) / (y * x). [para(13(a,1),3662(a,1,1,1)),flip(a)]. given #3475 (H,wt=25): 3658 ((1 / (x * y)) * x) / (1 / (x * y)) = x * (((x \ (1 / y)) * x) * y). [hyper(228,a,3062,a,b,3639,a(flip)),flip(a)]. given #3476 (H,wt=26): 3581 R(x \ T(x,y),y,((x * y) / x) \ z) \ z = y * (((x * y) / x) \ z). [para(3570(a,1),471(a,1,1,1))]. given #3477 (H,wt=26): 3587 L(x,y,y \ 1) \ ((1 / y) * (x * y)) = T(y,(1 / y) * (x * y)) \ y. [hyper(3349,a,3577,a)]. given #3478 (H,wt=22): 3664 L(K(x,y),y * x,y \ 1) = T(y,(1 / y) * (x * y)) \ y. [hyper(228,a,3451,a(flip),b,3587,a(flip)),flip(a)]. given #3479 (H,wt=22): 3665 L(K(x,y),y * x,y \ 1) = T(y,(y \ 1) * (x * y)) \ y. [para(2997(a,1),3664(a,2,1))]. given #3480 (H,wt=19): 3666 T(x,(x \ 1) * (y * x)) \ x = (y * x) / (x * y). [hyper(228,a,3663,a(flip),b,3665,a(flip))]. given #3481 (H,wt=21): 3667 x * (((y * x) / (x * y)) \ 1) = T(x,(x \ 1) * (y * x)). [para(3666(a,1),2483(a,1,2,1))]. given #3482 (H,wt=27): 3548 (x \ T(x,(x \ 1) * y)) * y = y * K(((x \ 1) * y) \ y,(x \ 1) * y). [para(3131(a,1),3513(a,2,2))]. given #3483 (H,wt=25): 3668 (((x \ 1) * y) \ y) * ((x \ 1) * y) = (x \ T(x,(x \ 1) * y)) * y. [hyper(228,a,239,a(flip),b,3548,a),flip(a)]. given #3484 (H,wt=27): 3648 L((T(x,T(y,x)) * z) / (x * z),T(y,x),x) = R((y * x) \ (x * y),x,z). [para(3579(a,1),859(a,1,1))]. given #3485 (H,wt=23): 3669 L((T(x,T(y,x)) * z) / (x * z),T(y,x),x) = R(K(x,y),x,z). [para(26(a,2),3648(a,2,1))]. given #3486 (H,wt=28): 3554 R((x \ (1 / y)) * x,y,x) * (y * x) = x * ((y * x) * T((y * x) \ 1,x)). [para(3551(a,2),1161(a,1,1))]. given #3487 (H,wt=25): 3670 x * ((y * x) * T((y * x) \ 1,x)) = (((x \ (1 / y)) * x) * y) * x. [hyper(221,a,3554,a),flip(a)]. given #3488 (H,wt=25): 3671 x * (y * (x * T(x \ (y \ 1),x))) = (((x \ (1 / y)) * x) * y) * x. [para(852(a,1),3670(a,1,2))]. given #3489 (H,wt=23): 3672 (((x \ (1 / y)) * x) * y) * x = x * (y * ((x \ (y \ 1)) * x)). [para(113(a,1),3671(a,1,2,2)),flip(a)]. given #3490 (H,wt=28): 3644 T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = x \ T(x,R(z \ 1,z,y) \ 1). [para(2578(a,1),3640(a,1,2,2,1)),flip(a)]. given #3491 (H,wt=28): 3659 (((x * y) \ 1) * x) / ((x * y) \ 1) != x * z | ((x \ (1 / y)) * x) * y = z. [para(3639(a,2),19(a,1))]. given #3492 (H,wt=28): 3673 T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = R(x \ T(x,(z \ 1) \ 1),z,y). [hyper(228,a,3649,a,b,3644,a)]. given #3493 (H,wt=24): 3674 T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = R(x \ T(x,z),z,y). [para(3103(a,1),3673(a,2,1,2))]. given #3494 (H,wt=29): 3561 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ (1 * x)) * y) / ((1 / x) \ 1). [para(3555(a,1),3352(a,1,1)),flip(a)]. given #3495 (H,wt=27): 3675 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ x) * y) / ((1 / x) \ 1). [para(11(a,1),3561(a,2,1,1,2))]. given #3496 (H,wt=23): 3676 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ x) * y) / x. [para(64(a,1),3675(a,2,2))]. given #3497 (H,wt=30): 3585 ((x * y) / x) * (y \ ((T(x,y) \ x) * z)) = L(z,((x * y) / x) \ y,(x * y) / x). [para(3576(a,1),1407(a,1,2,2,1))]. given #3498 (H,wt=28): 3677 ((x * y) / x) * (y \ ((T(x,y) \ x) * z)) = L(z,T(x,y) \ x,(x * y) / x). [para(3576(a,1),3585(a,2,2))]. given #3499 (H,wt=31): 3504 x \ (K(y \ 1,y) * (x * ((1 / y) * z))) != u | L((y \ 1) * z,K(y,y \ 1),x) = u. [para(3480(a,1),3058(a,1))]. given #3500 (H,wt=31): 3514 T((x \ 1) * (x * ((y * (x \ z)) / y)),y) = y \ (K(x \ 1,x) * (y * ((1 / x) * z))). [para(3055(a,1),3484(a,1,1))]. given #3501 (H,wt=31): 3591 (x \ T(x,y)) \ (((x * y) / x) * ((y \ 1) * z)) != u | L(z,y \ 1,(x * y) / x) = u. [para(3573(a,1),456(a,1,1))]. given #3502 (H,wt=31): 3608 (x * ((y / (z * (x \ y))) / x)) * (z * (x \ y)) = x * ((x \ T(x,z \ 1)) * (x \ y)). [para(3569(a,1),2115(a,2,2,1))]. given #3503 (H,wt=31): 3633 T(((x / y) / x) * ((x \ 1) \ 1),y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x. [para(3619(a,1),2880(a,2,1,2))]. given #3504 (H,wt=29): 3679 T((x / y) * K(x,x \ 1),y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x. [para(2898(a,1),3633(a,1,1,1))]. given #3505 (H,wt=27): 3680 T(((x \ 1) \ 1) / y,y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x. [para(3461(a,1),3679(a,1,1,1))]. given #3506 (H,wt=25): 3681 (x \ ((y \ 1) \ 1)) * K(y \ 1,y) = (y \ (x \ T(y,x \ 1))) * y. [para(115(a,1),3680(a,1,1))]. given #3507 (H,wt=21): 3682 (x \ ((y \ 1) \ 1)) * K(y \ 1,y) = ((x \ y) / y) * y. [para(3625(a,1),3681(a,2,1))]. given #3508 (H,wt=17): 3683 (x \ ((y \ 1) \ 1)) * K(y \ 1,y) = x \ y. [hyper(228,a,16,a(flip),b,3682,a)]. given #3509 (H,wt=17): 3684 (x \ y) * K(y,y \ 1) = x \ ((y \ 1) \ 1). [hyper(18,a,2924,a(flip),b,3682,a),flip(a)]. given #3510 (H,wt=20): 3685 (x \ ((y \ 1) \ 1)) * K(y \ 1,y) != z | x \ y = z. [para(3682(a,2),215(a,1)),flip(b)]. given #3511 (H,wt=21): 3687 K(x,x \ 1) * ((y \ x) * z) = (y \ ((x \ 1) \ 1)) * z. [para(3684(a,1),3422(a,1,1)),flip(a)]. given #3512 (H,wt=23): 3688 (x \ 1) * ((y \ ((x \ 1) \ 1)) * z) = (1 / x) * ((y \ x) * z). [para(3687(a,1),3075(a,1,2))]. given #3513 (H,wt=26): 3689 L((x \ ((y \ 1) \ 1)) * z,y \ 1,y) = y * ((1 / y) * ((x \ y) * z)). [para(3687(a,1),3076(a,1,1))]. given #3514 (H,wt=31): 3678 T((x \ 1) * (x * ((y * (x \ z)) / y)),y) != u | L((x \ 1) * z,K(x,x \ 1),y) = u. [para(3514(a,2),3504(a,1))]. given #3515 (H,wt=32): 3492 (K(x \ 1,x) * (y * z)) \ ((y * K(x \ 1,x)) * (z * u)) = L(u,z,y * K(x \ 1,x)). [para(3448(a,1),28(a,2,1)),flip(a)]. given #3516 (H,wt=32): 3494 (K(x \ 1,x) * (y * ((1 / x) * z))) / ((x \ 1) * z) = R(y,K(x \ 1,x),(1 / x) * z). [para(3448(a,1),3028(a,1,1))]. given #3517 (H,wt=32): 3507 R(x / (y / K(z,1 / z)),y / K(z,1 / z),K(z,1 / z)) = K(z,1 / z) * (x / y). [hyper(228,a,497,a,b,3502,a(flip)),flip(a)]. given #3518 (H,wt=32): 3690 (K(x \ 1,x) * (y * z)) \ (K(x \ 1,x) * (y * (z * u))) = L(u,z,y * K(x \ 1,x)). [para(3448(a,1),3492(a,1,2))]. given #3519 (H,wt=24): 3693 L(L(x,y,z),z * y,K(u \ 1,u)) = L(x,y,z * K(u \ 1,u)). [hyper(769,a,3690,a)]. given #3520 (H,wt=15): 3694 L(x,y,z * K(u \ 1,u)) = L(x,y,z). [hyper(228,a,3434,a(flip),b,3693,a(flip))]. given #3521 (H,wt=15): 3696 L(x,y,K(z \ 1,z) * u) = L(x,y,u). [para(2353(a,2),3694(a,1,3))]. given #3522 (H,wt=17): 3697 L(x,y,((z \ 1) \ 1) * u) = L(x,y,z * u). [para(3009(a,1),3696(a,1,3)),flip(a)]. given #3523 (H,wt=32): 3691 K(x \ 1,x) * ((y * ((1 / x) * z)) / ((x \ 1) * z)) = R(y,K(x \ 1,x),(1 / x) * z). [hyper(228,a,3447,a(flip),b,3494,a(flip)),flip(a)]. given #3524 (H,wt=32): 3692 R(x / (y * K(1 / z,z)),y / K(z,1 / z),K(z,1 / z)) = K(z,1 / z) * (x / y). [para(3089(a,1),3507(a,1,1,2))]. given #3525 (H,wt=33): 3406 K(((x / y) / z) \ 1,R((x / y) / z,z,y)) = K((x / (z * y)) \ 1,R((x / y) / z,z,y)). [para(226(a,1),3404(a,1,1,1)),flip(a)]. given #3526 (H,wt=30): 3698 K(((x / y) / z) \ 1,R((x / y) / z,z,y)) = K((x / (z * y)) \ 1,x / (z * y)). [para(226(a,1),3406(a,2,2))]. given #3527 (H,wt=28): 3699 K(((x / y) / z) \ 1,R((x / y) / z,z,y)) = K(x \ (z * y),(z * y) \ x). [hyper(228,a,3297,a(flip),b,3698,a)]. given #3528 (H,wt=25): 3700 K(((x / y) / z) \ 1,x / (z * y)) = K(x \ (z * y),(z * y) \ x). [para(226(a,1),3699(a,1,2))]. given #3529 (H,wt=33): 3462 (1 / (x \ 1)) / T(y,y \ T(x,x \ 1)) = (y \ ((x \ 1) \ 1)) * K(x \ 1,(x \ 1) \ 1). [para(642(a,1),3458(a,1,1)),flip(a)]. given #3530 (H,wt=29): 3701 (1 / (x \ 1)) / T(y,y \ T(x,x \ 1)) = (y \ ((x \ 1) \ 1)) * K(x \ 1,x). [para(1845(a,1),3462(a,2,2))]. given #3531 (H,wt=25): 3702 x / T(y,y \ T(x,x \ 1)) = (y \ ((x \ 1) \ 1)) * K(x \ 1,x). [para(61(a,1),3701(a,1,1))]. given #3532 (H,wt=15): 3703 x / T(y,y \ T(x,x \ 1)) = y \ x. [hyper(228,a,3683,a(flip),b,3702,a)]. given #3533 (H,wt=17): 3704 (1 / x) / T(y,y \ (x \ 1)) = y \ (1 / x). [para(583(a,1),3703(a,1,2,2,2))]. given #3534 (H,wt=19): 3705 (1 / (1 / x)) / T(y,y \ x) = y \ (1 / (1 / x)). [para(268(a,1),3703(a,1,2,2,2))]. given #3535 (H,wt=17): 3706 K(x \ 1,x) * (y \ x) = y \ (1 / (1 / x)). [hyper(228,a,3487,a(flip),b,3705,a(flip)),flip(a)]. given #3536 (H,wt=21): 3707 K(x,x \ 1) * ((y \ (1 / (1 / x))) * z) = (y \ x) * z. [para(3706(a,1),3469(a,1,2,1))]. given #3537 (H,wt=17): 3708 x * K(y \ (1 / (1 / x)),y) = (y \ x) * y. [hyper(228,a,3038,a(flip),b,3707,a(flip)),flip(a)]. given #3538 (H,wt=17): 3709 ((x \ y) * x) * (y \ 1) = ((x \ y) * x) / y. [para(3708(a,1),3676(a,1,1))]. given #3539 (H,wt=34): 3491 (K(x \ 1,x) * (y * (z * u))) \ (((y * K(x \ 1,x)) * z) * u) = a(y * K(x \ 1,x),z,u). [para(3448(a,1),24(a,2,1)),flip(a)]. given #3540 (H,wt=34): 3710 (K(x \ 1,x) * (y * (z * u))) \ ((K(x \ 1,x) * (y * z)) * u) = a(y * K(x \ 1,x),z,u). [para(3448(a,1),3491(a,1,2,1))]. given #3541 (H,wt=34): 3711 (K(x \ 1,x) * (y * (z * u))) \ (K(x \ 1,x) * ((y * z) * u)) = a(y * K(x \ 1,x),z,u). [para(3445(a,1),3710(a,1,2))]. given #3542 (H,wt=26): 3712 L(a(x,y,z),x * (y * z),K(u \ 1,u)) = a(x * K(u \ 1,u),y,z). [hyper(771,a,3711,a)]. given #3543 (H,wt=15): 3713 a(x * K(y \ 1,y),z,u) = a(x,z,u). [hyper(228,a,3434,a(flip),b,3712,a(flip))]. given #3544 (H,wt=13): 3715 a(1 / x,y,z) = a(x \ 1,y,z). [para(725(a,1),3713(a,1,1)),flip(a)]. given #3545 (H,wt=13): 3716 a(1 / (1 / x),y,z) = a(x,y,z). [para(1809(a,1),3713(a,1,1))]. given #3546 (H,wt=18): 3717 a((x * y) \ 1,x,y) / y = (1 / (x * y)) * x. [hyper(72,a,3715,a(flip),b,191,a)]. given #3547 (H,wt=28): 3719 (a((x * y) \ 1,x,y) / y) / (1 / (x * y)) = x * (((x \ (1 / y)) * x) * y). [para(3717(a,2),3658(a,1,1))]. given #3548 (H,wt=31): 3720 (a((x * y) \ 1,x,y) / y) / (1 / (x * y)) != x * z | ((x \ (1 / y)) * x) * y = z. [para(3719(a,2),19(a,1))]. given #3549 (H,wt=32): 3718 (a((x * y) \ 1,x,y) / y) / (1 / (x * y)) = ((1 / (x * y)) \ T(1 / (x * y),x)) * x. [para(3717(a,2),3571(a,2,1)),flip(a)]. given #3550 (H,wt=30): 3721 (a((x * y) \ 1,x,y) / y) / (1 / (x * y)) = ((x * y) * T((x * y) \ 1,x)) * x. [para(698(a,1),3718(a,2,1))]. given #3551 (H,wt=28): 3722 (a((x * y) \ 1,x,y) / y) / (1 / (x * y)) = (((x \ (1 / y)) * x) * y) * x. [para(1049(a,1),3721(a,2,1))]. given #3552 (H,wt=28): 3723 (a((x * y) \ 1,x,y) / y) / (1 / (x * y)) = x * (y * ((x \ (y \ 1)) * x)). [hyper(228,a,3672,a(flip),b,3722,a)]. given #3553 (H,wt=19): 3724 ((x \ (1 / y)) * x) * y = y * ((x \ (y \ 1)) * x). [hyper(3720,a,3723,a)]. given #3554 (H,wt=23): 3725 (x \ 1) * ((y \ ((x \ 1) \ 1)) * y) = ((y \ x) * y) * (x \ 1). [para(61(a,1),3724(a,1,1,1,2)),flip(a)]. given #3555 (H,wt=19): 3726 ((x \ y) * x) * (y \ 1) = (1 / y) * ((x \ y) * x). [hyper(228,a,3688,a(flip),b,3725,a(flip))]. given #3556 (H,wt=17): 3728 (1 / x) * ((y \ x) * y) = ((y \ x) * y) / x. [hyper(228,a,3709,a(flip),b,3726,a(flip))]. given #3557 (H,wt=21): 3727 K(x,x \ 1) * ((y \ x) * y) = T((y \ x) * y,x \ 1). [hyper(171,a,3726,a,b,3075,a),flip(a)]. given #3558 (H,wt=26): 3729 (x \ 1) * y != (1 / x) * ((z \ x) * z) | T((z \ x) * z,x \ 1) = y. [para(3726(a,1),172(a,2))]. given #3559 (H,wt=35): 3493 (x * (y * K(z \ 1,z))) \ (x * (K(z \ 1,z) * (y * u))) != w | L(u,y * K(z \ 1,z),x) = w. [para(3448(a,1),456(a,1,2,2))]. given #3560 (H,wt=35): 3584 (((x * y) / x) * T(((x * y) / x) \ z,y)) * (((x * y) / x) \ y) = (y \ (z * (T(x,y) \ x))) * y. [para(3576(a,1),1123(a,1,1,2,2)),flip(a)]. given #3561 (H,wt=33): 3730 ((x * (y * T(y \ T(z,x),y))) / x) * (((x * y) / x) \ y) = (y \ (z * (T(x,y) \ x))) * y. [para(2169(a,1),3584(a,1,1))]. given #3562 (H,wt=31): 3731 ((x * ((y \ T(z,x)) * y)) / x) * (((x * y) / x) \ y) = (y \ (z * (T(x,y) \ x))) * y. [para(113(a,1),3730(a,1,1,1,2))]. given #3563 (H,wt=29): 3732 ((x * ((y \ T(z,x)) * y)) / x) * (T(x,y) \ x) = (y \ (z * (T(x,y) \ x))) * y. [para(3576(a,1),3731(a,1,2))]. given #3564 (H,wt=36): 3557 R(x * ((y / z) / x),z,y \ u) * (z * (y \ u)) = (x * ((u / (z * (y \ u))) / x)) * (z * (y \ u)). [para(3556(a,2),2731(a,1,1))]. given #3565 (H,wt=31): 3733 (x * ((y / (z * (u \ y))) / x)) * (z * (u \ y)) = ((x * ((u / z) / x)) * z) * (u \ y). [hyper(221,a,3557,a),flip(a)]. given #3566 (H,wt=27): 3735 ((x * ((x / y) / x)) * y) * (x \ z) = x * ((x \ T(x,y \ 1)) * (x \ z)). [hyper(228,a,3608,a(flip),b,3733,a(flip))]. given #3567 (H,wt=23): 3736 x * ((x \ T(x,y \ 1)) * (x \ z)) = T(x,y \ 1) * (x \ z). [para(3614(a,1),3735(a,1,1)),flip(a)]. given #3568 (H,wt=23): 3737 T(x,(y \ 1) \ 1) * (x \ z) = x * ((x \ T(x,y)) * (x \ z)). [para(3103(a,1),3736(a,1,2,1,2)),flip(a)]. given #3569 (H,wt=19): 3738 x * ((x \ T(x,y)) * (x \ z)) = T(x,y) * (x \ z). [para(3103(a,1),3737(a,1,1)),flip(a)]. given #3570 (H,wt=19): 3739 T(x,y) * (x \ (x * z)) = x * ((x \ T(x,y)) * z). [para(13(a,1),3738(a,1,2,2)),flip(a)]. given #3571 (H,wt=15): 3740 x * ((x \ T(x,y)) * z) = T(x,y) * z. [para(13(a,1),3739(a,1,2)),flip(a)]. given #3572 (H,wt=10): 3742 L(x,y \ T(y,z),y) = x. [hyper(530,a,3740,a)]. given #3573 (H,wt=12): 3753 L(x,T(y,T(z,y)) \ y,z) = x. [para(3583(a,2),3742(a,1,2))]. given #3574 (H,wt=13): 3747 T(x,y) * y = x * ((x * y) / x). [para(3571(a,1),3740(a,1,2)),flip(a)]. given #3575 (H,wt=11): 3756 T(x,x / (x / y)) = T(x,y). [hyper(18,a,1426,a,b,3747,a),flip(a)]. given #3576 (H,wt=11): 3765 T(x,x / y) = T(x,y \ x). [para(61(a,1),3756(a,1,2,2))]. given #3577 (H,wt=11): 3766 T(x,(y \ x) \ x) = T(x,y). [para(138(a,1),3756(a,1,2)),flip(a)]. given #3578 (H,wt=11): 3769 T(x,T(y,y \ x)) = T(x,y). [para(114(a,2),3766(a,1,2))]. given #3579 (H,wt=13): 3755 T(x,y) * (x \ y) = (x * y) / x. [hyper(1069,a,3747,a)]. given #3580 (H,wt=11): 3770 T(x / y,T(y,x)) = y \ x. [hyper(171,a,1334,a,b,3755,a)]. given #3581 (H,wt=13): 3759 T(x,T(y,x)) * T(y,x) = x * y. [para(166(a,1),3747(a,2,2))]. given #3582 (H,wt=13): 3761 T(x,y) = (x / y) * ((x * y) / x). [hyper(228,a,1099,a,b,3756,a(flip))]. given #3583 (H,wt=13): 3762 T(x,x / (1 / y)) = T(x,x * y). [hyper(228,a,1434,a(flip),b,3756,a(flip)),flip(a)]. given #3584 (H,wt=13): 3763 (x / T(y,x)) * y = T(x,T(y,x)). [hyper(228,a,1112,a(flip),b,3756,a(flip)),flip(a)]. given #3585 (H,wt=13): 3764 (x / y) \ T(x,y) = (x * y) / x. [hyper(71,a,3756,a(flip),b,1099,a)]. given #3586 (H,wt=13): 3767 T(x,(y \ 1) \ x) = T(x,y * x). [hyper(228,a,1411,a(flip),b,3765,a(flip))]. given #3587 (H,wt=13): 3768 T(T(x,y \ x) / y,x) = x / y. [para(3765(a,1),1096(a,1,1,1))]. given #3588 (H,wt=13): 3771 T(x,y) \ ((x * y) / x) = x \ y. [hyper(77,a,3755,a)]. given #3589 (H,wt=13): 3777 T(x \ y,T(x,y)) = T(x \ y,x). [para(3770(a,1),185(a,1,1)),flip(a)]. given #3590 (H,wt=13): 3780 T(x / y,(x * y) / x) = y \ x. [hyper(171,a,3761,a(flip),b,1084,a(flip))]. given #3591 (H,wt=13): 3783 T(x / T(y,x),y) = T(y,x) \ x. [hyper(171,a,3763,a,b,1070,a)]. given #3592 (H,wt=14): 3754 L(x,T(y,z) \ y,(y * z) / y) = x. [para(165(a,1),3753(a,1,2,1,2))]. given #3593 (H,wt=15): 3741 (x \ T(x,y)) \ (x \ z) = T(x,y) \ z. [hyper(555,a,3740,a),flip(a)]. given #3594 (H,wt=15): 3743 (T(x,y) * z) / ((x \ T(x,y)) * z) = x. [hyper(85,a,3740,a)]. given #3595 (H,wt=10): 3793 R(x,x \ T(x,y),z) = x. [hyper(715,a,3743,a)]. given #3596 (H,wt=10): 3794 R(x,T(y,x) \ y,z) = x. [para(3568(a,2),3793(a,1,2))]. given #3597 (H,wt=10): 3795 R(x,K(y,x) \ 1,z) = x. [para(1157(a,1),3794(a,1,2))]. given #3598 (H,wt=15): 3744 (x \ T(x,y)) * z = T(x,y) * (x \ z). [hyper(17,a,1053,a,b,3740,a)]. given #3599 (H,wt=15): 3745 (x \ T(x,y)) * (x * z) = T(x,y) * z. [hyper(17,a,1051,a(flip),b,3740,a)]. given #3600 (H,wt=15): 3751 (x \ T(x,y)) \ z = x * (T(x,y) \ z). [hyper(71,a,3742,a(flip),b,2662,a)]. given #3601 (H,wt=15): 3757 T(x,x \ y) * (x \ y) = x * (y / x). [para(14(a,1),3747(a,2,2,1))]. given #3602 (H,wt=15): 3786 T(x,x \ y) \ (y / x) = x \ (x \ y). [para(14(a,1),3771(a,1,2,1))]. given #3603 (H,wt=15): 3799 (T(x,y) * z) / (x * z) = x \ T(x,y). [hyper(85,a,3745,a)]. given #3604 (H,wt=14): 3810 R(x \ T(x,y),x,z) = x \ T(x,y). [hyper(2573,a,3799,a)]. given #3605 (H,wt=15): 3800 (x \ T(x,y)) \ (T(x,y) * z) = x * z. [hyper(77,a,3745,a)]. given #3606 (H,wt=15): 3806 T(x,x \ y) \ (x * (y / x)) = x \ y. [hyper(77,a,3757,a)]. given #3607 (H,wt=15): 3808 (x \ T(x,x \ y)) * y = x * (y / x). [hyper(228,a,3744,a,b,3757,a(flip)),flip(a)]. given #3608 (H,wt=16): 3776 L(((x * y) / x) / y,y,x) = K(T(x,y),y). [para(3755(a,1),2520(a,1,1,1))]. given #3609 (H,wt=14): 3815 L(x \ T(x,y),y,x) = K(T(x,y),y). [para(3570(a,1),3776(a,1,1))]. given #3610 (H,wt=13): 3816 K(T(x,T(y,x)),T(y,x)) = K(x,y). [hyper(228,a,3594,a,b,3815,a(flip))]. given #3611 (H,wt=13): 3817 K(T(x,y),y) = K(x,(x * y) / x). [hyper(228,a,3578,a(flip),b,3815,a(flip))]. given #3612 (H,wt=16): 3779 x * T(y,z) != z * y | T(z,T(y,z)) = x. [para(3759(a,1),20(a,1)),flip(a)]. given #3613 (H,wt=16): 3782 R(T(x,x * y),y,x) = (x / T(y,x)) * y. [para(3762(a,1),1438(a,1,1))]. given #3614 (H,wt=14): 3818 R(T(x,x * y),y,x) = T(x,T(y,x)). [hyper(228,a,3763,a(flip),b,3782,a)]. given #3615 (H,wt=16): 3798 T(x,y) * (x \ 1) != z | x \ T(x,y) = z. [para(3744(a,1),81(a,1)),flip(b)]. given #3616 (H,wt=16): 3821 (1 / x) * T(x,y) != z | x \ T(x,y) = z. [para(2576(a,1),3798(a,1))]. given #3617 (H,wt=17): 3758 T(x / y,y) * y = (x / y) * (x / (x / y)). [para(16(a,1),3747(a,2,2,1))]. given #3618 (H,wt=15): 3822 (x / y) * (x / (x / y)) = (y \ x) * y. [para(115(a,1),3758(a,1,1)),flip(a)]. given #3619 (H,wt=15): 3823 ((x \ y) * x) * x = y * (y / (y / x)). [para(3822(a,1),818(a,1,1))]. given #3620 (H,wt=17): 3785 ((x * y) * y) / (x * y) = x \ T(x * y,y). [para(15(a,1),3764(a,1,1)),flip(a)]. given #3621 (H,wt=14): 3824 T(x \ T(x * y,y),x) = R(y,x,y). [para(3785(a,1),729(a,2,1)),flip(a)]. given #3622 (H,wt=16): 3825 (x \ T(x * y,y)) * x = x * R(y,x,y). [para(3785(a,1),735(a,1,1))]. given #3623 (H,wt=17): 3788 T(x,y) * T(x \ y,x) = (x \ y) * T(x,y). [para(3777(a,1),113(a,1,2))]. given #3624 (H,wt=17): 3790 x \ (y * T(y \ x,T(y,x))) = K(y \ x,y). [para(3777(a,2),400(a,1,2,2))]. given #3625 (H,wt=17): 3792 x \ ((T(y,x) \ y) * z) = ((y * x) / y) \ z. [hyper(71,a,3754,a(flip),b,3677,a),flip(a)]. given #3626 (H,wt=17): 3819 L(R(x,y,x),y,x) * y = y * T(x,T(y,x)). [para(3818(a,1),1044(a,1,2)),flip(a)]. given #3627 (H,wt=17): 3828 x * (((y * x) / y) \ z) = (T(y,x) \ y) * z. [para(3792(a,1),14(a,1,2))]. given #3628 (H,wt=13): 3833 (T(x,y) \ x) * (x * y) = y * x. [para(64(a,1),3828(a,1,2)),flip(a)]. given #3629 (H,wt=13): 3834 K(x,y) = T(T(y,x) \ y,y * x). [hyper(171,a,3833,a,b,93,a),flip(a)]. given #3630 (H,wt=13): 3835 (x * y) / (y * x) = T(y,x) \ y. [hyper(85,a,3833,a)]. given #3631 (H,wt=15): 3832 T(x,y / x) \ x = y / (x * (y / x)). [hyper(72,a,265,a(flip),b,3828,a(flip)),flip(a)]. given #3632 (H,wt=15): 3838 T(x,y) = x * (((y * x) / (x * y)) \ 1). [para(3835(a,2),2483(a,1,2,1)),flip(a)]. given #3633 (H,wt=13): 3839 T(x,(x \ 1) * (y * x)) = T(x,y). [hyper(228,a,3667,a(flip),b,3838,a),flip(a)]. given #3634 (H,wt=15): 3840 T(x,T((x \ 1) * y,x)) = T(x,x \ y). [para(1736(a,1),3839(a,1,2))]. given #3635 (H,wt=17): 3829 x \ (y * (T(y,x) \ y)) = ((y * x) / y) \ y. [para(2491(a,1),3792(a,1,2))]. given #3636 (H,wt=17): 3830 T((x * y) / x,T(x,y)) = L(R(y,x,y),x,y). [hyper(18,a,410,a,b,3819,a),flip(a)]. given #3637 (H,wt=17): 3837 T(x / y,y) \ (x / y) = (y * (x / y)) / x. [para(16(a,1),3835(a,1,2)),flip(a)]. given #3638 (H,wt=15): 3842 (x * (y / x)) / y = (x \ y) \ (y / x). [para(115(a,1),3837(a,1,1)),flip(a)]. given #3639 (H,wt=15): 3843 (x * (y / x)) / y = x \ ((x \ y) \ y). [hyper(228,a,3592,a(flip),b,3842,a)]. given #3640 (H,wt=18): 3784 T(x,T(y,x)) != y * z | T(x / T(y,x),y) = z. [para(3763(a,1),172(a,2)),flip(a)]. given #3641 (H,wt=18): 3801 (x \ T(x,y)) \ (T(x,y) * z) != u | x * z = u. [para(3745(a,1),284(a,1,2)),flip(b)]. given #3642 (H,wt=18): 3802 T(x,y) * (x \ z) != u | (x \ T(x,y)) * z = u. [para(3745(a,1),302(a,1))]. given #3643 (H,wt=18): 3803 (x \ T(x,y)) \ (x \ z) != u | T(x,y) \ z = u. [para(3751(a,2),1076(a,1))]. given #3644 (H,wt=18): 3814 T(x,x \ y) * (x \ y) != z | x * (y / x) = z. [para(3806(a,1),213(a,1,2)),flip(b)]. given #3645 (H,wt=18): 3845 (x \ T(x,y)) \ z != u | x * (T(x,y) \ z) = u. [para(14(a,1),3801(a,1,2))]. given #3646 (H,wt=16): 3847 T(x,y) \ x != z | x * (T(x,y) \ 1) = z. [para(2389(a,1),3845(a,1))]. given #3647 (H,wt=18): 3846 (x \ T(x,x \ y)) * y != z | x * (y / x) = z. [para(3744(a,2),3814(a,1))]. given #3648 (H,wt=19): 3778 x \ (y * T(y \ x,T(y,x))) = K(y \ x,T(y,x)). [para(3770(a,1),1720(a,1,1)),flip(a)]. given #3649 (H,wt=13): 3848 K(x \ y,T(x,y)) = K(x \ y,x). [hyper(228,a,3790,a(flip),b,3778,a(flip))]. given #3650 (H,wt=15): 3849 K(x \ (x * y),x) = K(y,T(x,x * y)). [hyper(228,a,644,a(flip),b,3848,a(flip))]. given #3651 (H,wt=11): 3850 K(x,T(y,y * x)) = K(x,y). [hyper(228,a,644,a(flip),b,3849,a(flip))]. given #3652 (H,wt=15): 3852 K(x \ 1,T(y,x \ y)) = K(x \ 1,y). [para(1713(a,1),3850(a,1,2))]. given #3653 (H,wt=19): 3791 T(x / T(y,x),z) * y = y * T(T(y,x) \ x,z). [para(3783(a,1),182(a,1,2,1)),flip(a)]. given #3654 (H,wt=19): 3811 R(K(x,y),x,z) = L(x \ T(x,T(y,x)),T(y,x),x). [para(3799(a,1),3669(a,1,1)),flip(a)]. given #3655 (H,wt=10): 3854 R(K(x,y),x,z) = K(x,y). [hyper(228,a,3594,a,b,3811,a)]. given #3656 (H,wt=15): 3856 (K(x,y) * x) * z = K(x,y) * (x * z). [para(3854(a,1),109(a,1,1)),flip(a)]. given #3657 (H,wt=8): 3857 L(x,y,K(y,z)) = x. [hyper(445,a,3856,a)]. given #3658 (H,wt=10): 3862 L(x,y,K(y,z)) = 1 * x. [hyper(228,a,11,a,b,3857,a)]. given #3659 (H,wt=11): 3865 L(x,y,K(y,z)) != u | u = x. [para(3862(a,2),73(a,1))]. given #3660 (H,wt=18): 3858 (K(x,y) * x) * z != u * (x * z) | K(x,y) = u. [para(3856(a,2),20(a,1))]. given #3661 (H,wt=18): 3866 K(1 / x,(1 / x) \ 1) != y | K(x \ 1,x) = y. [para(2801(a,1),3865(a,1)),flip(b)]. given #3662 (H,wt=19): 3813 (x * T(x \ y,z)) / y = (y / x) \ T(y / x,z). [hyper(228,a,2640,a(flip),b,3810,a(flip)),flip(a)]. given #3663 (H,wt=19): 3826 x * R(y,x,y) != z | (x \ T(x * y,y)) * x = z. [para(3824(a,1),219(a,1,2))]. given #3664 (H,wt=19): 3844 x \ ((x \ (y \ x)) \ (y \ x)) = x \ T(x,y \ 1). [hyper(228,a,3602,a(flip),b,3843,a(flip))]. given #3665 (H,wt=17): 3869 (x \ T(x,y \ 1)) * x = T(x,x \ (y \ x)). [para(3844(a,1),2571(a,1,1))]. given #3666 (H,wt=13): 3870 T(x,x \ (y \ x)) = T(x,y \ 1). [hyper(2560,a,3869,a),flip(a)]. given #3667 (H,wt=13): 3872 T(x,(x / y) \ 1) = T(x,x \ y). [para(64(a,1),3870(a,1,2,2)),flip(a)]. given #3668 (H,wt=15): 3873 (x \ (y \ x)) * T(x,y \ 1) = y \ x. [para(3870(a,1),168(a,1,2))]. given #3669 (H,wt=15): 3874 (x \ y) / T(y,x \ 1) = y \ (x \ y). [para(3870(a,1),199(a,1,2))]. given #3670 (H,wt=15): 3877 (x / y) \ T(x,x \ y) = x * (y / x). [para(3872(a,1),3626(a,1,2))]. given #3671 (H,wt=17): 3871 T(x * y,(x * y) \ y) = T(x * y,x \ 1). [para(13(a,1),3870(a,1,2,2))]. given #3672 (H,wt=15): 3882 x / T(y * x,y \ 1) = (y * x) \ x. [para(3871(a,1),199(a,1,2))]. given #3673 (H,wt=17): 3878 (x \ ((1 / y) \ x)) * T(x,y) = (1 / y) \ x. [para(64(a,1),3873(a,1,2,2))]. given #3674 (H,wt=17): 3879 ((x \ 1) \ y) / T(y,x) = y \ ((x \ 1) \ y). [para(3103(a,1),3874(a,1,2))]. given #3675 (H,wt=17): 3880 (x / (y * x)) \ T(x,x \ (y * x)) = x * y. [para(15(a,1),3877(a,2,2))]. given #3676 (H,wt=15): 3883 (x / (y * x)) \ T(x,T(y,x)) = x * y. [para(32(a,2),3880(a,1,2,2))]. given #3677 (H,wt=19): 3853 K((x \ 1) \ 1,T(y,x * y)) = K((x \ 1) \ 1,y). [para(3767(a,1),3852(a,1,2))]. given #3678 (H,wt=15): 3884 K((x \ 1) \ 1,y) = K(x,T(y,x * y)). [hyper(228,a,2857,a(flip),b,3853,a(flip))]. given #3679 (H,wt=11): 3885 K(x,T(y,x * y)) = K(x,y). [hyper(228,a,2857,a(flip),b,3884,a(flip))]. given #3680 (H,wt=13): 3886 K(x,T(x \ y,y)) = K(x,x \ y). [para(14(a,1),3885(a,1,2,2))]. given #3681 (H,wt=19): 3876 x \ ((y \ x) / ((y \ x) / x)) = T(x,y \ 1) \ x. [para(3870(a,1),3596(a,1,1)),flip(a)]. given #3682 (H,wt=20): 3789 T(x,y) * T(x \ y,x) != z | (x \ y) * T(x,y) = z. [para(3777(a,1),219(a,1,2))]. given #3683 (H,wt=20): 3820 (x \ 1) * T((x \ 1) \ 1,y) != z | x \ T(x,y) = z. [para(411(a,2),3798(a,1))]. given #3684 (H,wt=20): 3836 (x * y) * z != y * x | T(T(x,y) \ x,x * y) = z. [para(3833(a,1),172(a,2))]. given #3685 (H,wt=21): 3807 T(x,x \ (y \ x)) \ (y \ T(x,y \ 1)) = x \ (y \ x). [hyper(71,a,3621,a,b,3757,a)]. given #3686 (H,wt=19): 3887 T(x,y \ 1) \ (y \ T(x,y \ 1)) = x \ (y \ x). [para(3870(a,1),3807(a,1,1))]. given #3687 (H,wt=21): 3867 ((x \ y) / y) \ T((x \ y) / y,z) = x * T(x \ 1,z). [hyper(1211,a,3813,a),flip(a)]. given #3688 (H,wt=19): 3889 x \ ((y \ x) / ((y \ x) / x)) = y * T(y \ 1,x). [hyper(228,a,3567,a(flip),b,3867,a(flip)),flip(a)]. given #3689 (H,wt=15): 3891 T(x,y \ 1) \ x = y * T(y \ 1,x). [hyper(228,a,3876,a(flip),b,3889,a(flip)),flip(a)]. given #3690 (H,wt=15): 3892 K(x \ (x / y),x) = T(x,y \ 1) \ x. [hyper(228,a,936,a,b,3891,a),flip(a)]. given #3691 (H,wt=15): 3893 T(x,(y \ 1) \ 1) \ x = y \ T(y,x). [hyper(228,a,920,a(flip),b,3891,a)]. given #3692 (H,wt=11): 3900 T(x,y) \ x = y \ T(y,x). [para(3103(a,1),3893(a,1,1))]. given #3693 (H,wt=13): 3902 (x * y) / x = y * (T(y,x) \ y). [para(3900(a,2),3563(a,1,2)),flip(a)]. given #3694 (H,wt=11): 3907 T(x * (T(x,y) \ x),y) = x. [para(3902(a,1),165(a,1,1))]. given #3695 (H,wt=11): 3909 T(x / (x / y),y \ x) = y. [para(3597(a,2),3907(a,1,1))]. given #3696 (H,wt=13): 3905 K(x,y) = T(x \ T(x,y),y * x). [para(3900(a,1),3834(a,2,1))]. given #3697 (H,wt=13): 3911 T(x / (x / (x / y)),y) = x / y. [para(64(a,1),3909(a,1,2))]. given #3698 (H,wt=15): 3899 K(x \ (x / y),x) \ x = T(x,y \ 1). [para(3892(a,2),2490(a,1,1))]. given #3699 (H,wt=15): 3901 T(x,y / x) \ x = x \ (y / (y / x)). [hyper(228,a,3567,a(flip),b,3900,a)]. given #3700 (H,wt=15): 3903 x * ((T(y,x) \ y) * z) = T(x,y) * z. [para(3900(a,2),3740(a,1,2,1))]. given #3701 (H,wt=11): 3919 T(x,y) * T(y,x) = x * y. [para(2489(a,1),3903(a,1,2)),flip(a)]. given #3702 (H,wt=9): 3921 T(x,T(y,x)) = T(x,y). [hyper(3779,a,3919,a)]. given #3703 (H,wt=11): 3922 (x / T(y,x)) * y = T(x,y). [hyper(1351,a,3919,a)]. given #3704 (H,wt=11): 3923 x * (T(x,y) \ y) = T(y,x). [hyper(1073,a,3919,a)]. given #3705 (H,wt=11): 3924 T(x,y) * (x \ T(y,x)) = y. [hyper(1069,a,3919,a)]. given #3706 (H,wt=11): 3925 (x * y) / T(y,x) = T(x,y). [hyper(85,a,3919,a)]. given #3707 (H,wt=11): 3926 T(x,y) \ (x * y) = T(y,x). [hyper(77,a,3919,a)]. given #3708 (H,wt=11): 3937 T(x,y) / y = x / T(y,x). [hyper(72,a,3921,a(flip),b,3763,a)]. given #3709 (H,wt=11): 3938 T(x,y) / (T(y,x) \ x) = y. [hyper(72,a,3921,a(flip),b,1070,a)]. given #3710 (H,wt=11): 3939 T(x,y) \ y = x \ T(y,x). [hyper(71,a,3921,a(flip),b,1070,a),flip(a)]. given #3711 (H,wt=11): 3944 T(x,y / x) = T(x,x \ y). [para(115(a,1),3921(a,1,2)),flip(a)]. given #3712 (H,wt=11): 3952 K(T(x,y),T(y,x)) = K(x,y). [para(3921(a,1),3816(a,1,1))]. given #3713 (H,wt=11): 3960 (T(x,y) / y) \ x = T(y,x). [para(3937(a,2),64(a,1,1))]. given #3714 (H,wt=11): 3968 T(x,y / x) = (x \ y) \ y. [hyper(228,a,114,a(flip),b,3944,a)]. given #3715 (H,wt=11): 3975 T(x,T(y,x / y)) = T(x,y). [para(3944(a,2),3769(a,1,2))]. given #3716 (H,wt=12): 3934 R(T(x,x * y),y,x) = T(x,y). [hyper(228,a,3818,a,b,3921,a(flip)),flip(a)]. given #3717 (H,wt=13): 3920 T(x,y) * (y * x) = x * (x * y). [para(3833(a,1),3903(a,1,2)),flip(a)]. given #3718 (H,wt=13): 3933 T(x \ y,x) = ((x \ y) \ y) \ y. [hyper(650,a,3921,a),flip(a)]. given #3719 (H,wt=13): 3936 T(x,(x \ 1) * y) = T(x,x \ y). [hyper(228,a,3840,a(flip),b,3921,a(flip))]. given #3720 (H,wt=13): 3940 T(T(x,y),T(z,x)) = T(T(x,z),y). [para(3921(a,1),38(a,1,1)),flip(a)]. given #3721 (H,wt=13): 3941 T(x,T(T(y,x),z)) = T(x,T(y,z)). [para(38(a,1),3921(a,1,2))]. given #3722 (H,wt=13): 3953 (x / (y * x)) \ T(x,y) = x * y. [para(3921(a,1),3883(a,1,2))]. given #3723 (H,wt=13): 3959 T(x,y) = (x \ (y * x)) \ (y * x). [para(32(a,1),3926(a,1,1)),flip(a)]. given #3724 (H,wt=13): 3981 T(x * y,T(y,x)) = T(x * y,y). [para(15(a,1),3975(a,1,2,2))]. given #3725 (H,wt=13): 3986 x / T(y \ x,y) = (y \ x) \ x. [para(3933(a,2),61(a,1,2))]. given #3726 (H,wt=13): 3989 T(x,(1 / x) * y) = T(x,x \ y). [hyper(228,a,2997,a,b,3936,a(flip)),flip(a)]. given #3727 (H,wt=13): 3994 T(x,y) / (x * y) = x / (y * x). [para(3953(a,1),61(a,1,2))]. given #3728 (H,wt=13): 3995 x / T(y,(1 / y) * x) = y \ x. [para(3989(a,2),199(a,1,2))]. given #3729 (H,wt=14): 3950 T(x,T(y,y * x)) = T(x,L(y,x,y)). [para(676(a,1),3921(a,1,2))]. given #3730 (H,wt=14): 3955 T(x,y) != z * y | x / T(y,x) = z. [para(3922(a,1),20(a,1))]. given #3731 (H,wt=14): 3957 T(x,y) * T(y,x) != z | x * y = z. [para(3925(a,1),215(a,1,1)),flip(b)]. given #3732 (H,wt=14): 3963 x * (T(x,y) \ y) != z | T(y,x) = z. [para(3938(a,1),215(a,1,1)),flip(b)]. given #3733 (H,wt=12): 3999 T(x,T(y,x)) != z | T(x,y) = z. [para(1070(a,1),3963(a,1))]. given #3734 (H,wt=12): 4003 K(x,y) != z | T(K(x,y),x) = z. [para(3165(a,1),3999(a,1))]. given #3735 (H,wt=14): 3969 R(T(x,y),y / x,x) = T(x,x \ y). [hyper(228,a,742,a,b,3944,a(flip)),flip(a)]. given #3736 (H,wt=14): 3978 x / T(y,x) != z | T(x,y) / y = z. [para(3960(a,1),293(a,1,2)),flip(b)]. given #3737 (H,wt=14): 3979 T(x,y / x) != z | T(x,x \ y) = z. [para(3968(a,2),287(a,1))]. given #3738 (H,wt=14): 3982 R(T(x,y),x \ y,x) = T(x,x \ y). [para(14(a,1),3934(a,1,1,2))]. given #3739 (H,wt=14): 3996 T(x,y) / (x * y) = R(1 / y,y,x). [hyper(228,a,162,a,b,3994,a)]. given #3740 (H,wt=14): 4001 T(x,x \ y) != z | T(x,y / x) = z. [para(115(a,1),3999(a,1,2))]. given #3741 (H,wt=14): 4004 R(T(x,y),x \ y,x) = (x \ y) \ y. [hyper(228,a,114,a(flip),b,3982,a)]. given #3742 (H,wt=15): 3904 T(x,y) * (x \ z) = (T(y,x) \ y) * z. [para(3900(a,2),3744(a,1,1)),flip(a)]. given #3743 (H,wt=15): 3906 ((x \ y) * x) / (x \ y) = y / (y / x). [hyper(228,a,3597,a,b,3902,a)]. given #3744 (H,wt=14): 4009 T(x / (x / y),x) = L(y,y \ x,y). [para(3906(a,1),688(a,1,1))]. given #3745 (H,wt=15): 3908 ((x * y) / x) \ x = y \ ((y * x) / y). [para(3902(a,2),3636(a,1,1))]. given #3746 (H,wt=15): 3910 T(T(x / (x / y),z),y \ x) = T(y,z). [para(3909(a,1),38(a,1,1)),flip(a)]. given #3747 (H,wt=15): 3912 (x / (x / y)) * (y \ x) = (y \ x) * y. [para(3909(a,1),113(a,1,2)),flip(a)]. given #3748 (H,wt=15): 3914 (x * (y / x)) / x = y / (y / (y / x)). [para(3911(a,1),166(a,1,1,2))]. given #3749 (H,wt=15): 3916 T(x,(y \ x) \ 1) = K(x \ y,x) \ x. [para(61(a,1),3899(a,1,1,1,2)),flip(a)]. given #3750 (H,wt=15): 3917 x / (y * (x / y)) = y \ (x / (x / y)). [hyper(228,a,3832,a(flip),b,3901,a(flip)),flip(a)]. given #3751 (H,wt=15): 3942 T(L(x,y,z),T(u,x)) = L(T(x,u),y,z). [para(3921(a,1),40(a,1,1)),flip(a)]. given #3752 (H,wt=15): 3943 T(x,L(T(y,x),z,u)) = T(x,L(y,z,u)). [para(40(a,2),3921(a,1,2))]. given #3753 (H,wt=15): 3954 T(x,y) / T(y,x) = x / T(T(y,x),x). [hyper(72,a,3921,a(flip),b,3922,a)]. given #3754 (H,wt=15): 3961 T(x * (y / x),x) = x * (y / T(x,y)). [para(3937(a,1),1293(a,2,2))]. given #3755 (H,wt=15): 3970 (x * (y / x)) / T(x,x \ y) = y / x. [para(3944(a,1),137(a,1,2))]. given #3756 (H,wt=15): 3972 (x * (y / x)) * x = y * T(x,x \ y). [para(3944(a,1),751(a,2,2))]. given #3757 (H,wt=15): 3980 (x * (y / x)) * x = y * ((x \ y) \ y). [para(3968(a,1),751(a,2,2))]. given #3758 (H,wt=15): 3997 x / T(y \ 1,y * x) = (y \ 1) \ x. [para(61(a,1),3995(a,1,2,2,1))]. given #3759 (H,wt=15): 4006 R(1 / x,x,T(y,x)) = R(1 / x,x,y). [hyper(640,a,3996,a)]. given #3760 (H,wt=15): 4013 (x * (y \ x)) / (x / y) = (y \ x) * y. [hyper(228,a,1354,a,b,3912,a(flip)),flip(a)]. given #3761 (H,wt=15): 4015 K(x \ y,x) \ x = x * K(x,y / x). [hyper(228,a,3612,a(flip),b,3916,a(flip))]. given #3762 (H,wt=13): 4022 K(x \ y,x) \ 1 = K(x,y / x). [hyper(3223,a,4015,a)]. given #3763 (H,wt=13): 4023 K(x,(x * y) / x) = K(y,x) \ 1. [para(13(a,1),4022(a,1,1,1)),flip(a)]. given #3764 (H,wt=11): 4024 K(T(x,y),y) = K(y,x) \ 1. [hyper(228,a,3817,a,b,4023,a(flip)),flip(a)]. given #3765 (H,wt=11): 4025 K(T(x,y),y) \ 1 = K(y,x). [para(166(a,1),4023(a,1,2)),flip(a)]. given #3766 (H,wt=8): 4028 R(x,K(x,y),z) = x. [para(4025(a,1),3795(a,1,2))]. given #3767 (H,wt=11): 4027 K(T(x,y),y) * K(y,x) = 1. [para(4025(a,1),14(a,1,2))]. given #3768 (H,wt=12): 4029 R(T(x,y),K(x,z),u) = T(x,y). [para(4028(a,1),42(a,2,1))]. given #3769 (H,wt=13): 4026 x * K(T(y,x),x) = K(x,y) \ x. [para(4024(a,2),2676(a,1,2))]. given #3770 (H,wt=14): 4032 K(T(x,y),y) \ 1 != z | K(y,x) = z. [para(4027(a,1),284(a,1,2)),flip(b)]. given #3771 (H,wt=15): 4019 T(x \ 1,x * y) = ((x \ 1) \ y) \ y. [para(3997(a,1),64(a,1,1)),flip(a)]. given #3772 (H,wt=15): 4021 ((x \ y) * x) * (y / x) = y * (x \ y). [para(4013(a,1),16(a,1,1))]. given #3773 (H,wt=16): 3983 R(x,y,x) * (x * y) = (x * y) * T(x,y). [para(3934(a,1),184(a,1,2)),flip(a)]. given #3774 (H,wt=11): 4036 R(x,y,T(x,y)) = R(x,y,x). [hyper(18,a,484,a,b,3983,a),flip(a)]. given #3775 (H,wt=9): 4039 L(R(x,y,x),y,x) = x. [para(4036(a,1),1111(a,1,1))]. given #3776 (H,wt=12): 4038 x \ T(y * x,y) = R(y,x,y). [hyper(1110,a,4036,a)]. given #3777 (H,wt=12): 4040 x * R(y,x,y) = T(y * x,y). [para(4036(a,1),1109(a,1,2))]. given #3778 (H,wt=14): 4043 (L(x,y,x) * y) * x = x * (y * x). [para(4039(a,1),482(a,1,1)),flip(a)]. given #3779 (H,wt=12): 4049 T(L(x,y,x) * y,x) = y * x. [hyper(171,a,4043,a,b,xx)]. given #3780 (H,wt=14): 4044 R(x,x \ y,x) = (x \ y) \ T(y,x). [para(14(a,1),4038(a,1,2,1)),flip(a)]. given #3781 (H,wt=14): 4050 (x * (y * x)) / x = L(x,y,x) * y. [hyper(85,a,4043,a)]. given #3782 (H,wt=12): 4054 T((x * y) / x,L(x,y,x)) = y. [hyper(1548,a,4050,a)]. given #3783 (H,wt=10): 4058 T(x,L(y,x,y)) = T(x,y). [para(4054(a,1),201(a,1,1)),flip(a)]. given #3784 (H,wt=11): 4059 T(x,T(y,y * x)) = T(x,y). [hyper(228,a,3950,a,b,4058,a(flip)),flip(a)]. given #3785 (H,wt=14): 4051 x * T(y,x * y) = L(y,x,y) * x. [hyper(18,a,1321,a,b,4043,a),flip(a)]. given #3786 (H,wt=11): 4066 T(x,y * x) = T(x,x * y). [hyper(17,a,678,a,b,4051,a)]. given #3787 (H,wt=11): 4067 T(x,(x \ y) * x) = T(x,y). [hyper(17,a,684,a(flip),b,4051,a)]. given #3788 (H,wt=11): 4071 T(x,x * (y / x)) = T(x,y). [para(16(a,1),4066(a,1,2)),flip(a)]. given #3789 (H,wt=14): 4053 T(x,L(x,y,x) * y) = T(x,y * x). [para(4049(a,1),3921(a,1,2)),flip(a)]. given #3790 (H,wt=14): 4055 L(x,y,x) \ ((x * (y * x)) / x) = y. [hyper(71,a,4050,a,b,xx)]. given #3791 (H,wt=14): 4065 T((x * y) / x,x * y) = L(y,x,y). [hyper(419,a,4051,a)]. given #3792 (H,wt=14): 4079 T(x,L(x,y,x) * y) = T(x,x * y). [hyper(228,a,4066,a(flip),b,4053,a)]. given #3793 (H,wt=15): 4042 R(x,T(y,x),T(x,y)) = R(x,T(y,x),x). [para(3921(a,1),4036(a,1,3))]. given #3794 (H,wt=15): 4046 (x \ T(x * y,y)) * x = T(y * x,y). [hyper(3826,a,4040,a)]. given #3795 (H,wt=15): 4047 x \ T(y * x,y) != z | R(y,x,y) = z. [para(4040(a,1),284(a,1,2)),flip(b)]. given #3796 (H,wt=15): 4060 L(x,y,x) * T(y,x) = y * L(x,y,x). [para(4058(a,1),113(a,1,2))]. given #3797 (H,wt=15): 4072 T(T(x,x * y),z) = T(T(x,z),y * x). [para(4066(a,1),38(a,1,1))]. given #3798 (H,wt=15): 4073 T(T(x,y * x),z) = T(T(x,z),x * y). [para(4066(a,2),38(a,1,1))]. given #3799 (H,wt=15): 4083 T(T(x,y),z * x) = T(T(x,y),x * z). [hyper(228,a,38,a,b,4072,a(flip))]. given #3800 (H,wt=16): 4000 T(x,T(T(y,x),z)) != u | T(x,T(y,z)) = u. [para(38(a,1),3999(a,1,2))]. given #3801 (H,wt=16): 4002 K(x,x \ 1) != y | T(K(x,x \ 1),z) = y. [para(2338(a,1),3999(a,1))]. given #3802 (H,wt=16): 4034 K(x,y) \ x != x * z | K(T(y,x),x) = z. [para(4026(a,1),19(a,1))]. given #3803 (H,wt=16): 4035 K(T(x,T(y,x)),T(y,x)) != z | K(x,y) = z. [para(4024(a,2),4032(a,1))]. given #3804 (H,wt=16): 4082 R(T(x,x * y),y,T(x,x * y)) = T(x,y). [para(4079(a,1),1346(a,1,1))]. given #3805 (H,wt=17): 3918 (T(x,y / z) \ x) * y = z * T(z \ y,x). [hyper(17,a,1115,a,b,3903,a)]. given #3806 (H,wt=17): 3946 T(x,y) * T(T(y,x),z) = T(y,z) * T(x,y). [para(3921(a,1),182(a,1,2,1))]. given #3807 (H,wt=13): 4086 T(x,y) * T(T(y,x),x) = y * x. [hyper(228,a,3919,a(flip),b,3946,a)]. given #3808 (H,wt=17): 3962 T(x,T(y,z)) / (T(T(y,x),z) \ x) = T(y,z). [para(38(a,1),3938(a,1,2,1))]. given #3809 (H,wt=17): 3993 T(x,T(y,T(z,T(y,x)))) = T(x,T(T(y,x),z)). [para(3921(a,1),3941(a,1,2)),flip(a)]. given #3810 (H,wt=15): 4089 T(x,T(y,T(z,T(y,x)))) = T(x,T(y,z)). [hyper(228,a,3941,a(flip),b,3993,a)]. given #3811 (H,wt=17): 4005 R(T(x,y),x \ y,x) != z | (x \ y) \ y = z. [para(3982(a,2),648(a,1))]. given #3812 (H,wt=17): 4008 x * (((y * x) / y) \ z) = T(x,y) * (x \ z). [hyper(228,a,3828,a,b,3904,a),flip(a)]. given #3813 (H,wt=17): 4012 x * T(x / (x / y),x) = y * ((y \ x) * y). [para(4009(a,2),441(a,1,2))]. given #3814 (H,wt=15): 4092 (x / (x / y)) * x = y * ((y \ x) * y). [hyper(219,a,4012,a)]. given #3815 (H,wt=15): 4094 K(x,y) / (K(x,y) / y) = 1 / (1 / y). [hyper(3093,a,4092,a),flip(a)]. given #3816 (H,wt=17): 4017 T(x * (y / x),x) = x \ (y * ((x \ y) \ y)). [hyper(171,a,3980,a,b,14,a)]. given #3817 (H,wt=17): 4020 R(1 / x,x,y / x) = R(1 / x,x,x \ y). [para(115(a,1),4006(a,1,3)),flip(a)]. given #3818 (H,wt=14): 4097 R(1 / x,x,y / x) = (x \ y) / y. [hyper(228,a,361,a(flip),b,4020,a)]. given #3819 (H,wt=15): 4098 (x / y) / (y * (x / y)) = (y \ x) / x. [hyper(228,a,162,a(flip),b,4097,a(flip)),flip(a)]. given #3820 (H,wt=15): 4099 ((x \ y) / y) * (x * (y / x)) = y / x. [para(4098(a,1),16(a,1,1))]. given #3821 (H,wt=17): 4068 x * T(y,x * y) != z * x | L(y,x,y) = z. [para(4051(a,2),20(a,1))]. given #3822 (H,wt=17): 4080 T(x,(x \ y) * T(x,y)) = T(x,(x \ y) * x). [para(684(a,1),4053(a,1,2))]. given #3823 (H,wt=13): 4100 T(x,(x \ y) * T(x,y)) = T(x,y). [hyper(228,a,4067,a(flip),b,4080,a)]. given #3824 (H,wt=16): 4101 R(T(x,y),x \ y,T(x,y)) = T(x,x \ y). [para(4100(a,1),1345(a,1,1))]. given #3825 (H,wt=17): 4087 T(x,y) * T(T(y,z),x) = T(y,z) * T(x,y). [para(38(a,1),3946(a,1,2))]. given #3826 (H,wt=17): 4090 ((x * y) / x) \ (y * z) = T(y,x) * (y \ z). [hyper(228,a,1404,a,b,4008,a(flip)),flip(a)]. given #3827 (H,wt=17): 4096 x \ (y * ((x \ y) \ y)) = x * (y / T(x,y)). [hyper(228,a,3961,a(flip),b,4017,a(flip))]. given #3828 (H,wt=18): 3896 T(x,y \ 1) \ x != z | K(x \ (x / y),x) = z. [para(3891(a,2),938(a,1))]. given #3829 (H,wt=18): 3898 T(x,y \ 1) \ x != z | y * T(y \ 1,x) = z. [para(3892(a,1),1217(a,1))]. given #3830 (H,wt=18): 3973 (x * y) \ (y * T(x,x \ y)) = a(x,y / x,x). [para(3944(a,1),835(a,1,2,2))]. given #3831 (H,wt=18): 4010 T(T(x / (x / y),x),z) = L(T(y,z),y \ x,y). [para(4009(a,2),40(a,2,1)),flip(a)]. given #3832 (H,wt=18): 4011 L(x \ y,(x \ y) \ y,x \ y) = T(y / x,y). [para(61(a,1),4009(a,1,1,2)),flip(a)]. given #3833 (H,wt=18): 4041 T(x * y,x) * T(x,y) = (x * y) * R(x,y,x). [para(4036(a,1),1678(a,1,2)),flip(a)]. given #3834 (H,wt=18): 4048 T(x * y,x) != z | (y \ T(y * x,x)) * y = z. [para(4040(a,1),3826(a,1))]. given #3835 (H,wt=19): 3890 T(x,T((y \ z) / z,x)) = (y * T(y \ 1,x)) \ x. [para(3867(a,1),3588(a,1,1)),flip(a)]. given #3836 (H,wt=17): 4104 T(x,T((y \ z) / z,x)) = T(x,T(y \ 1,x)). [hyper(228,a,3589,a(flip),b,3890,a)]. given #3837 (H,wt=15): 4105 T(x,T(y \ 1,x)) = T(x,(y \ z) / z). [hyper(3999,a,4104,a),flip(a)]. given #3838 (H,wt=13): 4106 T(x,(y \ z) / z) = T(x,y \ 1). [hyper(3999,a,4105,a),flip(a)]. given #3839 (H,wt=13): 4109 T(x,(y / z) \ 1) = T(x,z / y). [para(64(a,1),4106(a,1,2,1)),flip(a)]. given #3840 (H,wt=13): 4110 T(x,((y \ z) / z) \ 1) = T(x,y). [para(61(a,1),4109(a,2,2))]. given #3841 (H,wt=16): 4107 T(x,(y \ z) / z) != u | T(x,y \ 1) = u. [para(4105(a,1),3999(a,1))]. given #3842 (H,wt=14): 4112 T(x,1 / y) != z | T(x,y \ 1) = z. [para(52(a,1),4107(a,1,2,1))]. given #3843 (H,wt=19): 3897 x * (T(x,y \ 1) \ x) = y * ((x \ (y \ x)) * x). [para(3891(a,2),2546(a,2,2)),flip(a)]. given #3844 (H,wt=19): 3913 x \ T(x,T(y,(y \ 1) * x) \ 1) = K(x,y \ 1). [hyper(228,a,3640,a,b,3905,a),flip(a)]. given #3845 (H,wt=17): 4113 x \ T(x,T(y,y \ x) \ 1) = K(x,y \ 1). [para(3936(a,1),3913(a,1,2,2,1))]. given #3846 (H,wt=17): 4114 T(x,T(y,y \ x) \ 1) = x * K(x,y \ 1). [para(4113(a,1),14(a,1,2)),flip(a)]. given #3847 (H,wt=13): 4115 K(x,(y \ x) / x) = K(x,y \ 1). [hyper(3641,a,4114,a)]. given #3848 (H,wt=17): 4116 K(x \ ((x \ 1) \ y),x) = K(y,(x \ 1) \ 1). [hyper(228,a,3655,a,b,4115,a(flip)),flip(a)]. given #3849 (H,wt=13): 4117 K(x \ ((x \ 1) \ y),x) = K(y,x). [hyper(228,a,3236,a(flip),b,4116,a)]. given #3850 (H,wt=13): 4118 K(x \ ((1 / x) \ y),x) = K(y,x). [hyper(228,a,3254,a,b,4117,a(flip)),flip(a)]. given #3851 (H,wt=13): 4119 K((x \ 1) * y,x) = K(x \ y,x). [para(13(a,1),4117(a,1,1,2)),flip(a)]. given #3852 (H,wt=13): 4120 K((1 / x) * y,x) = K(x \ y,x). [para(13(a,1),4118(a,1,1,2)),flip(a)]. given #3853 (H,wt=17): 4121 K((x \ 1) \ y,x \ 1) = K(x * y,x \ 1). [para(61(a,1),4120(a,1,1,1)),flip(a)]. given #3854 (H,wt=19): 3948 T(x,y) * L(T(y,x),z,u) = L(y,z,u) * T(x,y). [para(3921(a,1),183(a,1,2,1))]. given #3855 (H,wt=14): 4122 L(T(x,y),T(y,x),x) = T(x,y * x). [hyper(1028,a,3948,a),flip(a)]. given #3856 (H,wt=16): 4123 L(x,T(y,x),x) * y = y * T(x,y * x). [para(4122(a,1),183(a,1,2)),flip(a)]. given #3857 (H,wt=11): 4124 L(x,T(y,x),x) = L(x,y,x). [hyper(18,a,4051,a(flip),b,4123,a)]. given #3858 (H,wt=13): 4125 L(x,(x * y) / x,x) = L(x,y,x). [para(165(a,1),4124(a,1,2)),flip(a)]. given #3859 (H,wt=17): 4126 L(x,T(y,x),x) * T(y,x) = y * L(x,y,x). [para(4124(a,2),4060(a,1,1))]. given #3860 (H,wt=16): 4127 T(x,y) * T(y,x * y) = x * L(y,x,y). [hyper(228,a,686,a(flip),b,4126,a(flip)),flip(a)]. given #3861 (H,wt=16): 4129 T(x,y) * T(y,y * x) = x * L(y,x,y). [para(4066(a,1),4127(a,1,2))]. given #3862 (H,wt=19): 3949 T(x,y) * R(T(y,x),z,u) = R(y,z,u) * T(x,y). [para(3921(a,1),184(a,1,2,1))]. given #3863 (H,wt=19): 3964 T(x,y) \ ((T(y,x) \ x) * y) = K(y \ T(x,y),y). [para(3939(a,2),94(a,1,2,1))]. given #3864 (H,wt=19): 3992 T(T(x,y),L(T(z,x),u,w)) = T(T(x,L(z,u,w)),y). [para(40(a,2),3940(a,1,2))]. given #3865 (H,wt=19): 4037 (x * y) * T(x,y) != z * (x * y) | R(x,y,x) = z. [para(3983(a,1),20(a,1))]. given #3866 (H,wt=19): 4045 (x * y) \ (x * T(z * y,z)) = L(R(z,y,z),y,x). [para(4038(a,1),102(a,1,1)),flip(a)]. given #3867 (H,wt=19): 4052 x * (y * x) != x * z | T(L(x,y,x) * y,x) = z. [para(4043(a,1),172(a,2)),flip(a)]. given #3868 (H,wt=19): 4074 T(x,x * T(y / x,z)) = T(x,x * T(x \ y,z)). [para(409(a,1),4066(a,1,2)),flip(a)]. given #3869 (H,wt=19): 4077 (((x \ y) * x) / T(x,y)) * x = T((x \ y) * x,x). [para(4067(a,1),3922(a,1,1,2))]. given #3870 (H,wt=15): 4136 ((x \ y) * x) / T(x,y) = x \ T(y,x). [hyper(18,a,1283,a(flip),b,4077,a)]. given #3871 (H,wt=15): 4137 (x \ T(y,x)) * T(x,y) = (x \ y) * x. [para(4136(a,1),16(a,1,1))]. given #3872 (H,wt=18): 4138 (x \ y) * x != z * T(x,y) | x \ T(y,x) = z. [para(4137(a,1),20(a,1))]. given #3873 (H,wt=19): 4078 T(x,y) * (x \ T(x * (y / x),x)) = x * (y / x). [para(4071(a,1),3924(a,1,1))]. given #3874 (H,wt=15): 4139 T(x,y) * (T(y,x) / x) = x * (y / x). [para(1291(a,1),4078(a,1,2))]. given #3875 (H,wt=15): 4140 T(x,y) * (y / T(x,y)) = x * (y / x). [para(3937(a,1),4139(a,1,2))]. given #3876 (H,wt=18): 4141 T(x,y) * z != x * (y / x) | y / T(x,y) = z. [para(4140(a,1),19(a,1)),flip(a)]. given #3877 (H,wt=19): 4084 L(x \ T(x,T(y,x)),T(y,x),x) != z | K(x,y) = z. [para(3815(a,2),4035(a,1))]. given #3878 (H,wt=13): 4142 R(K(x,y),x,z) != u | K(x,y) = u. [para(3811(a,2),4084(a,1))]. given #3879 (H,wt=19): 4128 T(x,y) * T(y,x * y) != x * z | L(y,x,y) = z. [para(4127(a,2),19(a,1))]. given #3880 (H,wt=19): 4130 T(x,y) * T(y,y * x) != x * z | L(y,x,y) = z. [para(4129(a,2),19(a,1))]. given #3881 (H,wt=20): 3951 T(x,y) * T(T(y,x),z) != u | T(y,z) * T(x,y) = u. [para(3921(a,1),377(a,1,2,1))]. given #3882 (H,wt=20): 3956 (x * R(y,z,u)) / R(T(y,x),z,u) = T(x,R(y,z,u)). [para(42(a,2),3925(a,1,2))]. given #3883 (H,wt=20): 3998 T(x * T(1 / x,y),x) != z | x * T(1 / x,y) = z. [para(1526(a,1),3957(a,1))]. given #3884 (H,wt=20): 4014 R(1 / (1 / (1 / x)),x,y) = (x * (y / (x * y))) / x. [para(3914(a,1),829(a,1,1))]. given #3885 (H,wt=20): 4018 x * ((y \ x) \ x) != y * z | T(y * (x / y),y) = z. [para(3980(a,1),172(a,2)),flip(a)]. given #3886 (H,wt=20): 4056 (x * ((x \ y) * x)) / x != z | (x \ y) * T(x,y) = z. [para(4050(a,2),890(a,1))]. given #3887 (H,wt=20): 4075 x * L(T(y,x * y),z,u) = L(L(y,x,y),z,u) * x. [para(4066(a,2),682(a,1,2,1))]. given #3888 (H,wt=20): 4076 ((x \ y) * x) * T(x,y) != z | x * ((x \ y) * x) = z. [para(4067(a,1),219(a,1,2))]. given #3889 (H,wt=20): 4091 T(x,y) * (x \ z) != x * u | ((y * x) / y) \ z = u. [para(4008(a,1),19(a,1))]. given #3890 (H,wt=20): 4093 x * ((x \ y) * x) != y * z | T(y / (y / x),y) = z. [para(4012(a,1),19(a,1))]. given #3891 (H,wt=20): 4132 R(x,y,x) * T(x * y,x) = T(x * y,x) * T(x,y). [para(3934(a,1),3949(a,1,2)),flip(a)]. given #3892 (H,wt=19): 4146 R(x,y,x) * T(x * y,x) = (x * y) * R(x,y,x). [hyper(228,a,4041,a(flip),b,4132,a)]. given #3893 (H,wt=20): 4133 R(x,y / x,x) * T(y,x) = T(y,x) * T(x,x \ y). [para(3969(a,1),3949(a,1,2)),flip(a)]. given #3894 (H,wt=20): 4134 R(x,x \ y,x) * T(y,x) = T(y,x) * T(x,x \ y). [para(3982(a,1),3949(a,1,2)),flip(a)]. given #3895 (H,wt=13): 4149 R(x,y / x,x) = R(x,x \ y,x). [hyper(18,a,4133,a,b,4134,a),flip(a)]. given #3896 (H,wt=13): 4152 R(x,(x * y) / x,x) = R(x,y,x). [para(13(a,1),4149(a,2,2))]. given #3897 (H,wt=11): 4153 R(x,T(y,x),x) = R(x,y,x). [para(166(a,1),4152(a,1,2)),flip(a)]. given #3898 (H,wt=13): 4154 R(x,T(y,x),T(x,y)) = R(x,y,x). [hyper(228,a,4042,a,b,4153,a(flip)),flip(a)]. given #3899 (H,wt=14): 4150 R(x,y / x,x) = (x \ y) \ T(y,x). [hyper(228,a,4044,a(flip),b,4149,a)]. given #3900 (H,wt=16): 4156 (x \ (y * x)) \ T(y * x,x) = R(x,y,x). [para(15(a,1),4150(a,1,2)),flip(a)]. given #3901 (H,wt=19): 4155 R(R(x,y,z),T(u,x),T(x,u)) = R(R(x,u,x),y,z). [para(4154(a,1),46(a,1,1)),flip(a)]. given #3902 (H,wt=20): 4143 T(x,y) * T(T(y,z),x) != u | T(y,z) * T(x,y) = u. [para(38(a,1),3951(a,1,2))]. given #3903 (H,wt=20): 4145 T(L(L(x,y,x),z,u) * y,x) = L(x,z,u) * T(y,x). [para(4075(a,1),1702(a,1,1))]. given #3904 (H,wt=21): 4016 (x \ y) * T(y,y \ (x \ y)) = (x \ T(y,x \ 1)) * y. [para(3621(a,2),3972(a,1,1)),flip(a)]. given #3905 (H,wt=19): 4157 (x \ T(y,x \ 1)) * y = (x \ y) * T(y,x \ 1). [para(3870(a,1),4016(a,1,2)),flip(a)]. given #3906 (H,wt=21): 4030 (L(x,y,z) * K(x,u)) * w = L(x,y,z) * (K(x,u) * w). [para(4028(a,1),482(a,1,1,1)),flip(a)]. given #3907 (H,wt=11): 4158 L(x,K(y,z),L(y,u,w)) = x. [hyper(445,a,4030,a)]. given #3908 (H,wt=8): 4160 L(x,K(y,z),y) = x. [para(333(a,1),4158(a,1,3))]. given #3909 (H,wt=13): 4162 L(x,K(y,z),y) = L(x,u,K(u,w)). [hyper(228,a,3857,a,b,4160,a)]. given #3910 (H,wt=11): 4165 L(x,K(y,z),y) != u | u = x. [para(4162(a,2),334(a,1))]. given #3911 (H,wt=21): 4081 L(x,y,x) * y != z * u | z \ ((x * (y * x)) / x) = u. [para(4055(a,1),374(a,1,2))]. given #3912 (H,wt=21): 4085 x * K(y \ (y / (x \ z)),y) = (T(y,x / z) \ y) * x. [hyper(228,a,1381,a(flip),b,3918,a),flip(a)]. given #3913 (H,wt=21): 4103 T(x * y,x) * T(x,y) != (x * y) * z | R(x,y,x) = z. [para(4041(a,2),19(a,1))]. given #3914 (H,wt=21): 4159 (K(x,y) * L(x,z,u)) * w = L(x,z,u) * (K(x,y) * w). [para(3159(a,1),4030(a,1,1))]. given #3915 (H,wt=21): 4167 (T(x,(y / z) / (1 / z)) \ x) * (y / z) = T(y,x) / z. [hyper(228,a,1390,a(flip),b,4085,a(flip))]. given #3916 (H,wt=22): 3781 ((x * y) / x) * z != T(x,y) | T(x / y,(x * y) / x) = z. [para(3761(a,2),172(a,2))]. given #3917 (H,wt=22): 3827 (x * R(y,x,y)) \ T(x * y,y) = K(x,x \ T(x * y,y)). [para(3825(a,1),95(a,1,1))]. given #3918 (H,wt=22): 3915 R(x / y,x / (x / y),x / y) = T((x * (x / y)) / x,y). [para(3911(a,1),717(a,1,1))]. given #3919 (H,wt=20): 4168 R(x / y,x / (x / y),x / y) = (x * (y \ x)) / x. [hyper(228,a,653,a(flip),b,3915,a)]. given #3920 (H,wt=22): 3931 R(x,T(y,z),T(z,y)) * (y * z) = (x * T(y,z)) * T(z,y). [para(3919(a,1),109(a,1,2))]. given #3921 (H,wt=22): 3985 ((T(x,y) * y) / x) \ ((x * (x * y)) / x) = L(x,y,T(x,y)). [para(3920(a,1),1547(a,2,2,1)),flip(a)]. given #3922 (H,wt=22): 4111 T(x \ T(x,(y * z) / z),T(y,u)) = R(x \ T(x,y),y,z). [para(4109(a,1),3674(a,1,1,2))]. given #3923 (H,wt=18): 4171 T(x \ T(x,y),T(y,z)) = R(x \ T(x,y),y,u). [para(15(a,1),4111(a,1,1,2,2))]. given #3924 (H,wt=14): 4172 R(x \ T(x,y),y,z) = x \ T(x,y). [hyper(228,a,2534,a(flip),b,4171,a(flip))]. given #3925 (H,wt=17): 4173 (x \ T(x,y)) \ (((x * y) / x) * z) = y * z. [para(4172(a,1),3580(a,1,1))]. given #3926 (H,wt=15): 4175 (x \ T(x,x \ y)) \ y = (x \ y) * x. [para(66(a,1),4173(a,1,2))]. given #3927 (H,wt=15): 4177 (x \ ((x \ y) \ y)) \ y = (x \ y) * x. [para(114(a,1),4175(a,1,1,2))]. given #3928 (H,wt=15): 4178 x / ((y \ x) * y) = y \ ((y \ x) \ x). [para(4177(a,1),61(a,1,2))]. given #3929 (H,wt=15): 4179 (x * (y / x)) / y = y / ((x \ y) * x). [hyper(228,a,3843,a,b,4178,a),flip(a)]. given #3930 (H,wt=18): 4174 L(x,y \ 1,(z * y) / z) = y * ((y \ 1) * x). [hyper(3591,a,4173,a)]. given #3931 (H,wt=20): 4180 T(x,y) * ((T(x,y) \ 1) * z) = L(z,T(x,y) \ 1,x). [para(166(a,1),4174(a,1,3)),flip(a)]. given #3932 (H,wt=19): 4181 L(x,T(y,z) \ 1,T(y,z)) = L(x,T(y,z) \ 1,y). [hyper(563,a,4180,a)]. given #3933 (H,wt=22): 4151 R(x,x \ (y \ x),x) = ((y \ T(x,y \ 1)) * x) / (y \ x). [hyper(228,a,3628,a(flip),b,4149,a(flip))]. given #3934 (H,wt=22): 4183 R(x,x \ (y \ x),x) = ((y \ x) * T(x,y \ 1)) / (y \ x). [para(4157(a,1),4151(a,2,1))]. given #3935 (H,wt=23): 3796 T(x,y \ 1) * (x \ (y * z)) = y * ((x \ T(x,y \ 1)) * z). [hyper(228,a,3652,a(flip),b,3744,a(flip))]. given #3936 (H,wt=23): 3797 T(x,y) * (x \ (z * K(x \ 1,x))) = ((x \ 1) * T(x,y)) * z. [hyper(228,a,3344,a(flip),b,3744,a(flip))]. given #3937 (H,wt=21): 4185 T(x,y) * (T(x,x \ 1) \ z) = ((x \ 1) * T(x,y)) * z. [para(3008(a,1),3797(a,1,2))]. given #3938 (H,wt=23): 3958 (T(x,y) * (y * x)) / T(x,y) = T(y,x) * T(T(x,y),y * x). [para(3925(a,1),1334(a,1,1)),flip(a)]. given #3939 (H,wt=23): 3967 ((x \ T(y,x)) * T(x,y)) * T(x,y) = y * (y / (y / T(x,y))). [para(3939(a,1),3823(a,1,1,1))]. given #3940 (H,wt=19): 4188 ((x \ y) * x) * T(x,y) = y * (y / (y / T(x,y))). [para(4137(a,1),3967(a,1,1))]. given #3941 (H,wt=17): 4189 x * (x / (x / T(y,x))) = y * ((y \ x) * y). [hyper(4076,a,4188,a),flip(a)]. given #3942 (H,wt=15): 4190 x / (x / T(y,x)) = T(x / (x / y),x). [hyper(171,a,4092,a,b,4189,a),flip(a)]. given #3943 (H,wt=15): 4191 T(x / (x / y),x) \ x = x / T(y,x). [para(4190(a,1),64(a,1,1))]. given #3944 (H,wt=15): 4192 x / T(y \ x,x) = T(x / y,x) \ x. [para(61(a,1),4191(a,1,1,1,2)),flip(a)]. given #3945 (H,wt=23): 3974 x \ (T(x,y / x) / (1 / (x \ y))) = (x / (1 / (x \ y))) / x. [para(3944(a,2),3634(a,1,2,1))]. given #3946 (H,wt=23): 3991 (((x \ 1) * y) \ y) * ((x \ 1) * y) = (x \ T(x,x \ y)) * y. [para(3936(a,1),3668(a,2,1,2))]. given #3947 (H,wt=19): 4193 (((x \ 1) * y) \ y) * ((x \ 1) * y) = x * (y / x). [hyper(228,a,3808,a(flip),b,3991,a)]. given #3948 (H,wt=23): 4061 T(x,x * y) * L(T(y,x),z,u) = L(y,z,u) * T(x,x * y). [para(4059(a,1),183(a,1,2,1))]. given #3949 (H,wt=23): 4062 T(x,x * y) * R(T(y,x),z,u) = R(y,z,u) * T(x,x * y). [para(4059(a,1),184(a,1,2,1))]. given #3950 (H,wt=23): 4070 R(T(x,y * R(x,z,u)),z,u) = T(R(x,z,u),R(x,z,u) * y). [hyper(228,a,42,a,b,4066,a(flip)),flip(a)]. given #3951 (H,wt=23): 4135 T(x,x * T(T(x,y) \ y,z)) = T(x,x * T(T(y,x) / x,z)). [para(3939(a,2),4074(a,2,2,2,1)),flip(a)]. given #3952 (H,wt=23): 4148 T(x,y) * T(y,y \ x) != z * T(x,y) | R(y,x / y,y) = z. [para(4133(a,1),20(a,1))]. given #3953 (H,wt=23): 4184 T(x,y \ 1) * (x \ (y * z)) = y * (T(x,y \ 1) * (x \ z)). [para(3744(a,1),3796(a,2,2))]. given #3954 (H,wt=23): 4194 T(x,T(x * T(y / x,z),x)) = T(x,x * T(T(x,y) \ y,z)). [para(1453(a,2),4135(a,2,2)),flip(a)]. given #3955 (H,wt=21): 4195 T(x,x * T(T(x,y) \ y,z)) = T(x,x * T(y / x,z)). [hyper(3999,a,4194,a),flip(a)]. given #3956 (H,wt=21): 4196 T(x,x * T(T(x,y) \ y,z)) = T(x,x * T(x \ y,z)). [hyper(228,a,4074,a(flip),b,4195,a)]. given #3957 (H,wt=24): 3760 ((T(x,y) * y) / x) \ ((x * (x * y)) / x) = L(x,(x * y) / x,x). [para(3747(a,2),1549(a,1,1,1))]. given #3958 (H,wt=15): 4197 L(x,(x * y) / x,x) = L(x,y,T(x,y)). [hyper(228,a,3985,a(flip),b,3760,a(flip))]. given #3959 (H,wt=11): 4198 L(x,y,T(x,y)) = L(x,y,x). [hyper(228,a,4125,a(flip),b,4197,a(flip))]. given #3960 (H,wt=24): 3772 ((x * y) / x) \ (T(x,y) * ((x \ y) * z)) = L(z,x \ y,T(x,y)). [para(3755(a,1),28(a,2,1)),flip(a)]. given #3961 (H,wt=24): 3773 L((x \ y) \ z,x \ y,T(x,y)) = ((x * y) / x) \ (T(x,y) * z). [para(3755(a,1),102(a,2,1))]. given #3962 (H,wt=24): 3774 ((x * y) / x) \ R(T(x,y),x \ y,(x \ y) \ 1) = (x \ y) \ 1. [para(3755(a,1),394(a,1,1))]. given #3963 (H,wt=21): 4199 ((x * y) / x) \ T(y * ((x \ y) \ 1),y) = (x \ y) \ 1. [para(879(a,1),3774(a,1,2))]. given #3964 (H,wt=24): 3831 R(x \ T(x,y),y,((x * y) / x) \ z) \ z = (T(x,y) \ x) * z. [hyper(228,a,3581,a,b,3828,a(flip)),flip(a)]. given #3965 (H,wt=15): 4201 (x \ T(x,y)) \ z = (T(x,y) \ x) * z. [para(4172(a,1),3831(a,1,1))]. given #3966 (H,wt=15): 4202 (T(x,y) \ x) * z = x * (T(x,y) \ z). [hyper(3845,a,4201,a),flip(a)]. given #3967 (H,wt=15): 4203 (T(x,y) \ x) * (T(x,y) * z) = x * z. [hyper(3801,a,4201,a),flip(a)]. given #3968 (H,wt=15): 4206 T(x,y) * (x \ z) = y * (T(y,x) \ z). [hyper(228,a,3904,a,b,4202,a(flip)),flip(a)]. given #3969 (H,wt=15): 4211 (T(x,y) \ x) \ z = T(x,y) * (x \ z). [hyper(71,a,14,a(flip),b,4203,a)]. given #3970 (H,wt=15): 4212 T(x,y) * (x \ (T(y,x) * z)) = y * z. [hyper(228,a,3904,a,b,4203,a(flip)),flip(a)]. given #3971 (H,wt=15): 4215 T(x,y) * (T(y,x) * z) = x * (y * z). [para(4203(a,1),3903(a,1,2)),flip(a)]. given #3972 (H,wt=17): 4208 x * T(x \ y,z) = z * (T(z,y / x) \ y). [hyper(228,a,3918,a(flip),b,4202,a(flip)),flip(a)]. given #3973 (H,wt=17): 4213 ((x * y) / x) \ (T(x,y) * z) = y \ (x * z). [hyper(71,a,4203,a(flip),b,3828,a),flip(a)]. given #3974 (H,wt=18): 4204 (T(x,y) \ x) * z != u | x * (T(x,y) \ z) = u. [para(4201(a,1),3845(a,1))]. given #3975 (H,wt=18): 4217 T(x,y) * (T(y,x) * z) = (x * y) * L(z,y,x). [hyper(228,a,100,a,b,4215,a)]. given #3976 (H,wt=18): 4219 x \ (y * ((y \ x) * z)) = L(z,y \ x,T(y,x)). [hyper(228,a,3772,a(flip),b,4213,a(flip))]. given #3977 (H,wt=15): 4220 L(x,y \ z,T(y,z)) = L(x,y \ z,y). [hyper(707,a,4219,a),flip(a)]. given #3978 (H,wt=21): 4207 x * (T(x,(y / z) / (1 / z)) \ (y / z)) = T(y,x) / z. [hyper(228,a,4167,a(flip),b,4202,a(flip))]. given #3979 (H,wt=22): 4214 (T(x,y) \ x) * (T(x,y) * z) != u * w | u \ (x * z) = w. [para(4203(a,2),437(a,1))]. given #3980 (H,wt=22): 4216 T(x,y) * (x \ (T(y,x) * z)) != u * w | u \ (y * z) = w. [para(4212(a,2),437(a,1))]. given #3981 (H,wt=22): 4218 x * (T(x,y / (z \ 1)) \ y) != u | z \ T(z * y,x) = u. [para(4208(a,1),950(a,1))]. given #3982 (H,wt=24): 3929 (T(x,y) * (T(y,x) * z)) \ ((x * y) * z) = a(T(x,y),T(y,x),z). [para(3919(a,1),24(a,2,2,1)),flip(a)]. given #3983 (H,wt=20): 4221 (x * (y * z)) \ ((x * y) * z) = a(T(x,y),T(y,x),z). [para(4215(a,1),3929(a,1,1))]. given #3984 (H,wt=13): 4222 a(T(x,y),T(y,x),z) = a(x,y,z). [hyper(663,a,4221,a),flip(a)]. given #3985 (H,wt=16): 4223 a(T(x,y),T(y,x),z) != u | a(x,y,z) = u. [para(4221(a,1),663(a,1))]. given #3986 (H,wt=24): 3987 L((((x \ y) \ z) \ z) \ z,x \ y,x) = T(y \ (x * z),x \ y). [para(3933(a,1),712(a,1,1))]. given #3987 (H,wt=24): 3990 ((x \ 1) * y) \ ((x * (x \ 1)) * y) = R(T(x,x \ y),x \ 1,y). [para(3936(a,1),595(a,2,1))]. given #3988 (H,wt=18): 4224 R(T(x,x \ y),x \ 1,y) = ((x \ 1) * y) \ y. [para(54(a,1),3990(a,1,2)),flip(a)]. given #3989 (H,wt=24): 4170 (R(x,y,z) * T(u,x)) * T(x,u) = R(R(x,u,x),y,z) * (u * x). [para(4155(a,1),3931(a,1,1)),flip(a)]. given #3990 (H,wt=21): 4226 (R(x,y,z) * T(u,x)) * T(x,u) = (R(x,y,z) * u) * x. [hyper(228,a,483,a(flip),b,4170,a)]. given #3991 (H,wt=18): 4227 T(x * y,x) * T(x,y) = (R(x,y,x) * y) * x. [para(1234(a,1),4226(a,1,1))]. given #3992 (H,wt=17): 4228 (R(x,y,x) * y) * x = (x * y) * R(x,y,x). [hyper(228,a,4041,a(flip),b,4227,a(flip))]. given #3993 (H,wt=20): 4229 (R(x,y,x) * y) \ ((x * y) * R(x,y,x)) != z | z = x. [para(4228(a,1),284(a,1,2))]. given #3994 (H,wt=24): 4187 (T(x,y) * (y * x)) / T(x,y) != z | T(x,y * x) * T(y,x) = z. [para(3958(a,2),3951(a,1))]. given #3995 (H,wt=24): 4200 T(x * ((y \ x) \ 1),x) != z * ((y \ x) \ 1) | (y * x) / y = z. [para(4199(a,1),84(a,1,2)),flip(a),flip(b)]. given #3996 (H,wt=24): 4225 R(T(x,T(y,x)),x \ 1,y * x) = ((x \ 1) * (y * x)) \ (y * x). [para(32(a,2),4224(a,1,1,2))]. given #3997 (H,wt=22): 4230 ((x \ 1) * (y * x)) \ (y * x) = R(T(x,y),x \ 1,y * x). [para(3921(a,1),4225(a,1,1)),flip(a)]. given #3998 (H,wt=25): 3841 T(x \ T(x * y,y),T(x * y,y)) = L(R(y,x * y,y),x * y,y). [para(3785(a,1),3830(a,1,1))]. given #3999 (H,wt=15): 4232 T(x \ T(x * y,y),T(x * y,y)) = y. [hyper(228,a,4039,a(flip),b,3841,a)]. given #4000 (H,wt=13): 4234 K(x,x \ T(x * y,y)) = K(x,y). [para(4232(a,1),3886(a,1,2)),flip(a)]. given #4001 (H,wt=16): 4235 K(x,y) = (x * R(y,x,y)) \ T(x * y,y). [hyper(228,a,3827,a,b,4234,a(flip))]. given #4002 (H,wt=15): 4236 K(x,y) = T(y * x,y) \ T(x * y,y). [para(4040(a,1),4235(a,2,1))]. given #4003 (H,wt=13): 4237 K(x \ T(x * y,x),x) = K(y,x). [hyper(228,a,1298,a(flip),b,4236,a),flip(a)]. given #4004 (H,wt=13): 4238 K(x \ T(y,x),x) = K(x \ y,x). [para(14(a,1),4237(a,1,1,2,1))]. given #4005 (H,wt=17): 4239 T(x,y) \ ((T(y,x) \ x) * y) = K(y \ x,y). [hyper(228,a,3964,a,b,4238,a(flip)),flip(a)]. given #4006 (H,wt=17): 4240 T(x,y) * K(y \ x,y) = (T(y,x) \ x) * y. [para(4239(a,1),14(a,1,2))]. given #4007 (H,wt=20): 4241 (T(x,y) \ y) * x != z * K(x \ y,x) | T(y,x) = z. [para(4239(a,1),84(a,1,2)),flip(a),flip(b)]. given #4008 (H,wt=25): 3932 T(x,y) * (T(y,x) * z) != (x * y) * u | L(z,T(y,x),T(x,y)) = u. [para(3919(a,1),445(a,1,1)),flip(a)]. given #4009 (H,wt=13): 4242 L(x,T(y,z),T(z,y)) = L(x,y,z). [hyper(3932,a,4217,a)]. given #4010 (H,wt=17): 4243 L(x,y \ z,T(y,z / y)) = L(x,z / y,y). [para(115(a,1),4242(a,1,2))]. given #4011 (H,wt=17): 4244 L(x,y \ z,T(y,y \ z)) = L(x,z / y,y). [para(3944(a,1),4243(a,1,3))]. given #4012 (H,wt=25): 4033 (R(T(x,y),z,u) * K(x,w)) * v5 = R(T(x,y),z,u) * (K(x,w) * v5). [para(4029(a,1),483(a,1,1,1)),flip(a)]. given #4013 (H,wt=25): 4088 T(x,T(y,T(z,T(y,x)))) / (T(T(y,x),z) \ x) = T(y,T(z,T(y,x))). [para(3921(a,1),3962(a,1,2,1))]. given #4014 (H,wt=21): 4245 T(x,T(y,z)) / (T(T(y,x),z) \ x) = T(y,T(z,T(y,x))). [para(4089(a,1),4088(a,1,1))]. given #4015 (H,wt=11): 4246 T(x,T(y,T(x,z))) = T(x,y). [hyper(228,a,3962,a(flip),b,4245,a(flip))]. given #4016 (H,wt=17): 4248 T(x,T(y,z)) * T(y,x) = y * T(x,T(y,z)). [para(4246(a,1),113(a,1,2))]. given #4017 (H,wt=17): 4250 T(x / (x / y),T(z,y)) = T(x / (x / y),z). [para(188(a,1),4246(a,1,2,2))]. given #4018 (H,wt=19): 4254 T(x,y) \ (x * T(y,T(x,z))) = T(T(y,x),T(x,z)). [hyper(71,a,4248,a(flip),b,3946,a)]. given #4019 (H,wt=24): 4251 T(x,T(y,z)) * T(y,x) != u * w | u \ (y * T(x,T(y,z))) = w. [para(4246(a,1),535(a,1,2))]. given #4020 (H,wt=24): 4255 T(T(T(x,y) / (T(x,y) / y),x),z) = L(T(y,z),y \ T(x,y),y). [para(4250(a,1),4010(a,1,1))]. given #4021 (H,wt=25): 4095 ((x / y) \ T((x / y) * y,y)) * (x / y) = y \ (x * ((y \ x) \ x)). [hyper(228,a,4046,a,b,4017,a(flip)),flip(a)]. given #4022 (H,wt=21): 4256 ((x / y) \ T(x,y)) * (x / y) = y \ (x * ((y \ x) \ x)). [para(16(a,1),4095(a,1,1,2,1))]. given #4023 (H,wt=19): 4257 x \ (y * ((x \ y) \ y)) = ((y * x) / y) * (y / x). [para(3764(a,1),4256(a,1,1)),flip(a)]. given #4024 (H,wt=17): 4258 ((x * y) / x) * (x / y) = y * (x / T(y,x)). [hyper(228,a,4096,a(flip),b,4257,a(flip))]. given #4025 (H,wt=21): 4259 (x \ y) * (y / T(x \ y,y)) = ((y * (x \ y)) / y) * x. [para(61(a,1),4258(a,1,2)),flip(a)]. given #4026 (H,wt=25): 4182 L(x,1 / T(y,y \ z),(y \ z) \ z) = L(x,T(y,y \ z) \ 1,y). [hyper(3061,a,4181,a)]. given #4027 (H,wt=25): 4186 (((x \ 1) \ 1) * T(x \ 1,y)) * z = T(1 / x,y) * ((x \ 1) \ z). [hyper(228,a,3263,a(flip),b,4185,a(flip))]. given #4028 (H,wt=21): 4261 T(1 / x,y) * ((x \ 1) \ z) = (x * T(1 / x,y)) * z. [para(2613(a,1),4186(a,1,1)),flip(a)]. given #4029 (H,wt=21): 4262 (T(1 / x,y) * z) / ((x * T(1 / x,y)) * z) = x \ 1. [para(4261(a,1),3284(a,1,2))]. given #4030 (H,wt=21): 4263 T(1 / x,y) * ((x * T(1 / x,y)) \ z) = (x \ 1) * z. [para(4262(a,1),235(a,1,1)),flip(a)]. given #4031 (H,wt=26): 3895 (T(x,y \ 1) \ x) \ (y * (T(y \ 1,x) * z)) = L(z,T(y \ 1,x),y). [para(3891(a,2),28(a,2,1)),flip(a)]. given #4032 (H,wt=26): 3965 (T(x,y) * ((x \ T(y,x)) * z)) \ (y * z) = a(T(x,y),T(x,y) \ y,z). [para(3939(a,1),90(a,1,1,2,1))]. given #4033 (H,wt=26): 4063 T(x,x * y) * L(T(y,x),z,u) != w | L(y,z,u) * T(x,x * y) = w. [para(4059(a,1),378(a,1,2,1))]. given #4034 (H,wt=26): 4064 T(x,x * y) * R(T(y,x),z,u) != w | R(y,z,u) * T(x,x * y) = w. [para(4059(a,1),379(a,1,2,1))]. given #4035 (H,wt=26): 4147 (R(x,y,x) * y) \ ((x * y) * R(x,y,x)) = L(R(x,y,x),y,R(x,y,x)). [para(4146(a,1),4045(a,1,2))]. given #4036 (H,wt=12): 4265 L(R(x,y,x),y,R(x,y,x)) = x. [hyper(4229,a,4147,a)]. given #4037 (H,wt=26): 4231 (((1 / x) * (y * x)) \ (y * x)) \ 1 = 1 / R(T(x,y),x \ 1,y * x). [para(4230(a,1),3129(a,1,2)),flip(a)]. given #4038 (H,wt=26): 4264 T(x,y \ 1) * (x \ (y * (T(y \ 1,x) * z))) = L(z,T(y \ 1,x),y). [hyper(228,a,4211,a(flip),b,3895,a(flip)),flip(a)]. given #4039 (H,wt=26): 4266 x * (T(y,x \ 1) * (y \ (T(x \ 1,y) * z))) = L(z,T(x \ 1,y),x). [hyper(228,a,4184,a(flip),b,4264,a(flip)),flip(a)]. given #4040 (H,wt=16): 4267 L(x,T(y \ 1,z),y) = y * ((y \ 1) * x). [para(4212(a,1),4266(a,1,2)),flip(a)]. given #4041 (H,wt=15): 4268 L(x,T(y \ 1,z),y) = L(x,y \ 1,y). [hyper(228,a,190,a(flip),b,4267,a)]. given #4042 (H,wt=24): 4270 L(T(1 / x,y) \ z,x \ 1,x) = (x * T(1 / x,y)) \ (x * z). [hyper(228,a,3460,a(flip),b,4268,a(flip))]. given #4043 (H,wt=27): 3775 ((x * y) / x) \ (T(x,y) * ((x \ y) * z)) != u | L(z,x \ y,T(x,y)) = u. [para(3755(a,1),456(a,1,1))]. given #4044 (H,wt=27): 3966 T(x,x * y) * R(x \ T(x * y,x),z,u) = T(x * R(y,z,u),x * y). [para(3939(a,1),1781(a,1,2,1))]. given #4045 (H,wt=28): 4169 R(x / (x / y),(y * (x / y)) / y,x / (x / y)) = (x * ((x / y) \ x)) / x. [para(3914(a,2),4168(a,1,2))]. given #4046 (H,wt=24): 4273 R(x / (x / y),(y * (x / y)) / y,x / (x / y)) = (x * y) / x. [para(64(a,1),4169(a,2,1,2))]. given #4047 (H,wt=29): 3787 T(T(x,y),x) * L(T(T(x,y),x) \ y,z,u) = T(T(x,y) * L(x \ y,z,u),x). [para(3771(a,1),2038(a,1,1,2,1)),flip(a)]. given #4048 (H,wt=27): 4274 T(x,y) * L(T(T(x,y),x) \ y,z,u) = T(T(x,y) * L(x \ y,z,u),x). [para(129(a,1),3787(a,1,1))]. given #4049 (H,wt=25): 4275 T(T(x,y) * L(x \ y,z,u),x) = T(x,y) * L(T(x,y) \ y,z,u). [para(129(a,1),4274(a,1,2,1,1)),flip(a)]. given #4050 (H,wt=23): 4276 T(T(x,y) * L(x \ y,z,u),x) = T(x * L(x \ y,z,u),y). [hyper(228,a,2039,a(flip),b,4275,a)]. given #4051 (H,wt=27): 4277 T(x * L(x \ (x * y),z,u),x * y) = T(T(x,x * y) * L(y,z,u),x). [para(13(a,1),4276(a,1,1,2,1)),flip(a)]. given #4052 (H,wt=23): 4278 T(T(x,x * y) * L(y,z,u),x) = T(x * L(y,z,u),x * y). [para(13(a,1),4277(a,1,1,2,1)),flip(a)]. given #4053 (H,wt=29): 3809 x * (x * T(T(x,x \ (y * x)) \ ((y * x) / x),z)) = (x * T(x \ y,z)) * x. [para(3786(a,2),1443(a,1,2,2,1))]. given #4054 (H,wt=27): 4279 x * (x * T(T(x,T(y,x)) \ ((y * x) / x),z)) = (x * T(x \ y,z)) * x. [para(32(a,2),3809(a,1,2,2,1,1,2))]. given #4055 (H,wt=25): 4280 x * (x * T(T(x,y) \ ((y * x) / x),z)) = (x * T(x \ y,z)) * x. [para(3921(a,1),4279(a,1,2,2,1,1))]. given #4056 (H,wt=21): 4281 x * (x * T(T(x,y) \ y,z)) = (x * T(x \ y,z)) * x. [para(15(a,1),4280(a,1,2,2,1,2))]. given #4057 (H,wt=29): 4260 ((x \ y) \ y) * (y / T(T(x,x \ y),y)) = ((y * ((x \ y) \ y)) / y) * (x \ y). [para(114(a,2),4259(a,1,2,2,1))]. given #4058 (H,wt=25): 4282 ((x \ y) \ y) * (y / T(T(x,x \ y),y)) = x \ (y * ((x \ y) \ y)). [hyper(228,a,1723,a(flip),b,4260,a)]. given #4059 (H,wt=23): 4283 ((x \ y) \ y) * (y / T(T(x,x \ y),y)) = x * (y / T(x,y)). [hyper(228,a,4096,a(flip),b,4282,a)]. given #4060 (H,wt=30): 4144 (x * R(x * K(y,x),z,u)) / R(x * K(y,x),z,u) = T(x,R(x * K(y,x),z,u)). [para(1992(a,1),3956(a,1,2,1))]. given #4061 (H,wt=12): 4284 T(x,R(x * K(y,x),z,u)) = x. [hyper(295,a,4144,a)]. given #4062 (H,wt=31): 4272 T((x \ 1) * (x * ((y * z) / y)),y) = T(1 / x,y) * ((x * T(1 / x,y)) \ (x * z)). [para(4270(a,1),3350(a,2,2))]. given #4063 (H,wt=21): 4286 T((x \ 1) * (x * ((y * z) / y)),y) = (x \ 1) * (x * z). [hyper(228,a,4263,a(flip),b,4272,a)]. given #4064 (H,wt=22): 4287 L((x \ 1) * y,K(x,x \ 1),z) = (x \ 1) * (x * (x \ y)). [hyper(3678,a,4286,a)]. given #4065 (H,wt=18): 4289 L((x \ 1) * y,K(x,x \ 1),z) = (x \ 1) * y. [hyper(228,a,86,a(flip),b,4287,a)]. given #4066 (H,wt=21): 4291 (x * ((1 / y) * z)) / ((y \ 1) * z) = x * K(y,y \ 1). [para(4289(a,1),3057(a,1,2))]. given #4067 (H,wt=26): 4292 R(x,K(y \ 1,y),(1 / y) * z) = K(y \ 1,y) * (x * K(y,y \ 1)). [para(4291(a,1),3691(a,1,2)),flip(a)]. given #4068 (H,wt=14): 4294 R(x,K(y \ 1,y),(1 / y) * z) = x. [hyper(228,a,2910,a(flip),b,4292,a)]. given #4069 (H,wt=10): 4298 R(x,K(y \ 1,y),z) = x. [para(14(a,1),4294(a,1,3))]. given #4070 (H,wt=10): 4301 R(x,y,K(z \ 1,z)) = x. [hyper(228,a,3538,a(flip),b,4298,a(flip)),flip(a)]. given #4071 (H,wt=10): 4303 R(x,K(y,y \ 1),z) = x. [para(813(a,1),4298(a,1,2))]. given #4072 (H,wt=10): 4314 R(x,y,K(z,1 / z)) = x. [para(64(a,1),4301(a,1,3,1))]. given #4073 (H,wt=10): 4319 R(x,y,K(z,z \ 1)) = x. [para(813(a,1),4301(a,1,3))]. given #4074 (H,wt=10): 4320 R(x,y,K(1 / z,z)) = x. [para(1885(a,2),4301(a,1,3))]. given #4075 (H,wt=13): 4311 T(x,y * K(z \ 1,z)) = T(x,y). [hyper(228,a,3443,a(flip),b,4301,a(flip))]. given #4076 (H,wt=13): 4312 R(x,y,(z \ 1) \ 1) = R(x,y,z). [hyper(228,a,3334,a(flip),b,4301,a(flip))]. given #4077 (H,wt=13): 4329 T(x,y * K(z,z \ 1)) = T(x,y). [hyper(228,a,3428,a(flip),b,4319,a(flip))]. given #4078 (H,wt=13): 4338 T(x,K(y \ 1,y) * z) = T(x,z). [para(2353(a,2),4311(a,1,2))]. given #4079 (H,wt=13): 4348 R(x,y,T(z,z \ 1)) = R(x,y,z). [para(114(a,2),4312(a,1,3))]. given #4080 (H,wt=15): 4309 T(x,y / (1 / z)) = T(x,y / (z \ 1)). [hyper(228,a,3510,a(flip),b,4301,a(flip))]. given #4081 (H,wt=15): 4339 T(x,y * (((y \ z) \ 1) \ 1)) = T(x,z). [para(2451(a,1),4311(a,1,2))]. given #4082 (H,wt=15): 4340 T(x,y * (1 / z)) = T(x,y * (z \ 1)). [para(2812(a,1),4311(a,1,2)),flip(a)]. given #4083 (H,wt=15): 4341 T(x,y * (1 / (1 / z))) = T(x,y * z). [para(2922(a,1),4311(a,1,2))]. given #4084 (H,wt=15): 4342 T(x,((y \ 1) \ 1) \ z) = T(x,y \ z). [para(3014(a,1),4311(a,1,2))]. given #4085 (H,wt=15): 4343 T(x,(1 / y) \ z) = T(x,(y \ 1) \ z). [para(3021(a,1),4311(a,1,2))]. given #4086 (H,wt=15): 4344 T(x,(1 / y) * z) = T(x,(y \ 1) * z). [para(3027(a,1),4311(a,1,2)),flip(a)]. given #4087 (H,wt=15): 4346 T(x,y \ ((z \ 1) \ 1)) = T(x,y \ z). [para(3683(a,1),4311(a,1,2)),flip(a)]. given #4088 (H,wt=15): 4353 T(x,T(y,y \ 1) * z) = T(x,y * z). [para(2974(a,1),4329(a,1,2))]. given #4089 (H,wt=15): 4359 T(x,y \ (1 / z)) = T(x,y \ (z \ 1)). [para(64(a,1),4346(a,1,2,2,1)),flip(a)]. given #4090 (H,wt=16): 4356 (x \ (y / z)) \ (x \ y) = R(z,y \ 1,x). [hyper(228,a,2005,a(flip),b,4348,a(flip)),flip(a)]. given #4091 (H,wt=17): 4316 (x \ 1) * K(y \ 1,y) = x \ K(y \ 1,y). [para(4301(a,1),391(a,1,1)),flip(a)]. given #4092 (H,wt=17): 4332 (x \ 1) * K(y,y \ 1) = x \ K(y,y \ 1). [para(4319(a,1),391(a,1,1)),flip(a)]. given #4093 (H,wt=17): 4345 T(x,(y \ 1) \ K(z,y)) = T(x,y * K(z,y)). [para(3051(a,1),4311(a,1,2)),flip(a)]. given #4094 (H,wt=17): 4360 K(x \ 1,x) * (y \ 1) = y \ K(x \ 1,x). [hyper(2361,a,4316,a)]. given #4095 (H,wt=15): 4362 x \ K(y \ 1,y) = (x \ (y \ 1)) * y. [hyper(228,a,3215,a(flip),b,4360,a(flip))]. given #4096 (H,wt=17): 4361 K(x,x \ 1) * (y \ 1) = y \ K(x,x \ 1). [hyper(2343,a,4332,a)]. given #4097 (H,wt=15): 4364 x \ K(y,y \ 1) = (x \ y) * (1 / y). [hyper(228,a,2950,a(flip),b,4361,a(flip))]. given #4098 (H,wt=19): 4302 (x * K(y \ 1,y)) * z = x * (K(y \ 1,y) * z). [para(4298(a,1),109(a,1,1)),flip(a)]. given #4099 (H,wt=19): 4304 K(x \ 1,x) * ((y * K(x \ 1,x)) \ z) = y \ z. [para(4298(a,1),280(a,1,1)),flip(a)]. given #4100 (H,wt=19): 4310 x / (y * K(z \ 1,z)) = K(z,z \ 1) * (x / y). [hyper(228,a,3477,a(flip),b,4301,a(flip)),flip(a)]. given #4101 (H,wt=19): 4313 (x * K(y,y \ 1)) / z = x / (z * K(y \ 1,y)). [hyper(228,a,2929,a(flip),b,4301,a(flip))]. given #4102 (H,wt=19): 4315 (x * y) * K(z \ 1,z) = x * (y * K(z \ 1,z)). [para(4301(a,1),109(a,1,1)),flip(a)]. given #4103 (H,wt=10): 4381 a(x,y,K(z \ 1,z)) = 1. [hyper(70,a,4315,a(flip),b,89,a),flip(a)]. given #4104 (H,wt=10): 4386 a(x,y,K(z,z \ 1)) = 1. [para(813(a,1),4381(a,1,3))]. given #4105 (H,wt=14): 4377 K(L(x,y,z) \ 1,x) = K(x \ 1,x). [hyper(2414,a,4315,a)]. given #4106 (H,wt=14): 4379 L(K(x \ 1,x),y,z) = K(x \ 1,x). [hyper(445,a,4315,a)]. given #4107 (H,wt=14): 4387 L(K(x,x \ 1),y,z) = K(x,x \ 1). [hyper(33,a,4386,a)]. given #4108 (H,wt=14): 4388 K(L(x,y,z) \ 1,x) = (x \ 1) * x. [hyper(228,a,189,a(flip),b,4377,a)]. given #4109 (H,wt=17): 4399 K(L(x,y,z) \ 1,x) != u | K(x \ 1,x) = u. [para(4388(a,2),315(a,1))]. given #4110 (H,wt=17): 4400 L(K(x \ 1,x),y,z) != u | K(x \ 1,x) = u. [para(2362(a,2),4399(a,1))]. given #4111 (H,wt=19): 4317 x \ (y * K(z \ 1,z)) = (x \ y) * K(z \ 1,z). [para(4301(a,1),472(a,1,1))]. given #4112 (H,wt=17): 4402 (x \ (1 / y)) * K(y \ 1,y) = x \ (y \ 1). [para(725(a,1),4317(a,1,2)),flip(a)]. given #4113 (H,wt=17): 4403 K(x,x \ 1) * (y \ (x \ 1)) = y \ (1 / x). [hyper(2936,a,4402,a)]. given #4114 (H,wt=19): 4321 x \ (K(y \ 1,y) * z) = (x \ z) * K(y \ 1,y). [para(4301(a,1),2372(a,1,1))]. given #4115 (H,wt=19): 4322 (x * K(y,y \ 1)) * z = x * (K(y,y \ 1) * z). [para(4303(a,1),109(a,1,1)),flip(a)]. given #4116 (H,wt=19): 4323 x / (y * K(1 / z,z)) = K(z,1 / z) * (x / y). [hyper(228,a,3692,a(flip),b,4314,a(flip))]. given #4117 (H,wt=17): 4409 K(x,1 / x) * (y / x) = y / (1 / (1 / x)). [para(1888(a,1),4323(a,1,2)),flip(a)]. given #4118 (H,wt=19): 4324 (x * y) * K(z,1 / z) = x * (y * K(z,1 / z)). [para(4314(a,1),109(a,1,1)),flip(a)]. given #4119 (H,wt=19): 4331 (x * y) * K(z,z \ 1) = x * (y * K(z,z \ 1)). [para(4319(a,1),109(a,1,1)),flip(a)]. given #4120 (H,wt=17): 4412 T(x,y * (z * K(u,u \ 1))) = T(x,y * z). [para(4331(a,1),4329(a,1,2))]. given #4121 (H,wt=19): 4333 x \ (y * K(z,z \ 1)) = (x \ y) * K(z,z \ 1). [para(4319(a,1),472(a,1,1))]. given #4122 (H,wt=19): 4334 x \ (K(y,y \ 1) * z) = (x \ z) * K(y,y \ 1). [para(4319(a,1),2364(a,1,1))]. given #4123 (H,wt=19): 4335 (x * y) * K(1 / z,z) = x * (y * K(1 / z,z)). [para(4320(a,1),109(a,1,1)),flip(a)]. given #4124 (H,wt=14): 4416 L(K(1 / x,x),y,z) = K(1 / x,x). [hyper(445,a,4335,a)]. given #4125 (H,wt=19): 4368 K(x \ 1,x) * (y * z) = y * (K(x \ 1,x) * z). [hyper(228,a,3448,a(flip),b,4302,a(flip)),flip(a)]. given #4126 (H,wt=19): 4369 (x * K(y \ 1,y)) \ z = K(y,y \ 1) * (x \ z). [hyper(2934,a,4304,a),flip(a)]. given #4127 (H,wt=19): 4370 (K(x,x \ 1) * y) \ z = K(x \ 1,x) * (y \ z). [para(2926(a,1),4304(a,1,2,1)),flip(a)]. given #4128 (H,wt=17): 4427 T(x,(K(y,y \ 1) * z) \ u) = T(x,z \ u). [para(4370(a,2),4338(a,1,2))]. given #4129 (H,wt=19): 4372 x \ (y * K(z \ 1,z)) = K(z \ 1,z) * (x \ y). [para(3501(a,1),4304(a,1,2)),flip(a)]. given #4130 (H,wt=19): 4374 x / (y * K(z \ 1,z)) = (x / y) * K(z,z \ 1). [hyper(228,a,2341,a(flip),b,4310,a)]. given #4131 (H,wt=19): 4378 K(x \ 1,x) * (y * z) = y * (z * K(x \ 1,x)). [hyper(2361,a,4315,a)]. given #4132 (H,wt=19): 4380 (x * y) * K(z \ 1,z) = x * (K(z \ 1,z) * y). [hyper(228,a,2369,a,b,4315,a)]. given #4133 (H,wt=19): 4401 (K(x,x \ 1) * y) \ z = (y \ z) * K(x \ 1,x). [hyper(228,a,3472,a,b,4317,a(flip)),flip(a)]. given #4134 (H,wt=19): 4404 x \ (K(y \ 1,y) * z) = K(y \ 1,y) * (x \ z). [hyper(228,a,2353,a,b,4321,a)]. given #4135 (H,wt=19): 4406 K(x,x \ 1) * (y * z) = y * (K(x,x \ 1) * z). [hyper(228,a,3422,a(flip),b,4322,a(flip)),flip(a)]. given #4136 (H,wt=19): 4407 (x * K(y,y \ 1)) * z = x * (z * K(y,y \ 1)). [para(2341(a,1),4322(a,2,2))]. given #4137 (H,wt=19): 4410 (K(x,1 / x) * y) * z = y * (z * K(x,1 / x)). [hyper(18,a,3478,a(flip),b,4324,a)]. given #4138 (H,wt=19): 4411 K(x,1 / x) * (y * z) = y * (z * K(x,1 / x)). [hyper(228,a,2351,a,b,4324,a(flip)),flip(a)]. given #4139 (H,wt=19): 4413 T(x,y * (z * (1 / u))) = T(x,y * (z * (u \ 1))). [para(2920(a,1),4412(a,1,2,2))]. given #4140 (H,wt=19): 4415 x \ (K(y,y \ 1) * z) = K(y,y \ 1) * (x \ z). [hyper(228,a,2341,a,b,4334,a)]. given #4141 (H,wt=19): 4417 K(x,x \ 1) * (y * (K(x \ 1,x) * z)) = y * z. [hyper(2934,a,4368,a)]. given #4142 (H,wt=19): 4425 (K(x \ 1,x) * y) \ z = K(x,x \ 1) * (y \ z). [para(2353(a,2),4369(a,1,1))]. given #4143 (H,wt=19): 4428 T(x,(y * (1 / z)) \ u) = T(x,(y * (z \ 1)) \ u). [para(2932(a,1),4427(a,1,2,1))]. given #4144 (H,wt=19): 4429 T(x,(((y \ 1) \ 1) \ z) \ u) = T(x,(y \ z) \ u). [para(2982(a,1),4427(a,1,2,1)),flip(a)]. given #4145 (H,wt=20): 4392 L(K(x \ y,y \ x),z,u) = K((y \ x) \ 1,y \ x). [para(2786(a,1),4379(a,1,1))]. given #4146 (H,wt=20): 4450 K((x \ y) \ 1,x \ y) != z | K(y \ x,x \ y) = z. [para(4392(a,1),334(a,1)),flip(b)]. given #4147 (H,wt=21): 4358 x * (T(x,(y / z) / (z \ 1)) \ (y / z)) = T(y,x) / z. [para(4309(a,1),4207(a,1,2,1))]. given #4148 (H,wt=15): 4452 x \ T(x * (y / x),z) = T(y,z) / x. [hyper(4218,a,4358,a)]. given #4149 (H,wt=15): 4453 T(x * (y / x),z) = x * (T(y,z) / x). [para(4452(a,1),14(a,1,2)),flip(a)]. given #4150 (H,wt=13): 4462 T(x * (y / x),y) = x * (y / x). [para(112(a,1),4453(a,2,2,1))]. given #4151 (H,wt=9): 4467 T(x,y * (x / y)) = x. [hyper(35,a,4462,a)]. given #4152 (H,wt=13): 4469 T((x \ y) * x,y) = (x \ y) * x. [para(60(a,1),4467(a,1,2))]. given #4153 (H,wt=15): 4454 T(x * y,z) / y = y \ T(y * x,z). [para(15(a,1),4452(a,1,2,1,2)),flip(a)]. given #4154 (H,wt=15): 4455 (x \ T(x * (y / x),z)) * x = T(y,z). [para(4452(a,2),16(a,1,1))]. given #4155 (H,wt=15): 4456 T((x \ y) * x,z) / x = x \ T(y,z). [para(60(a,1),4452(a,1,2,1)),flip(a)]. given #4156 (H,wt=15): 4461 x * (T(y * x,z) / x) = T(x * y,z). [para(15(a,1),4453(a,1,1,2)),flip(a)]. given #4157 (H,wt=15): 4466 T(x * (y / x),K(y,z)) = x * (y / x). [para(3154(a,1),4453(a,2,2,1))]. given #4158 (H,wt=13): 4485 T(K(x,y),z * (x / z)) = K(x,y). [hyper(35,a,4466,a)]. given #4159 (H,wt=15): 4471 (x \ T(x * y,z)) * x = T(y * x,z). [para(4454(a,1),16(a,1,1))]. given #4160 (H,wt=15): 4477 T((x \ y) * x,z) = (x \ T(y,z)) * x. [para(60(a,1),4455(a,1,1,2,1)),flip(a)]. given #4161 (H,wt=15): 4484 T(x,T(y * x,z)) = T(x,T(x * y,z)). [para(4461(a,1),4071(a,1,2)),flip(a)]. given #4162 (H,wt=15): 4486 T(K(x * y,z),y * x) = K(x * y,z). [para(15(a,1),4485(a,1,2,2))]. given #4163 (H,wt=17): 4457 x * (y * (T(z,x) / y)) = (y * (z / y)) * x. [para(4452(a,1),169(a,1,2,2))]. given #4164 (H,wt=17): 4468 T(x * (y / x),y) / y = y / ((x \ y) * x). [para(4462(a,2),4179(a,1,1))]. given #4165 (H,wt=17): 4472 T(x \ T(x * y,z),x) = x \ T(y * x,z). [para(4454(a,1),115(a,1,1))]. given #4166 (H,wt=17): 4478 x \ T((x \ y) * x,z) = T(x \ T(y,z),x). [para(4456(a,1),115(a,1,1)),flip(a)]. given #4167 (H,wt=17): 4482 T(x,y) / R(x,z,u) = R(x,z,u) \ T(x,y). [para(3528(a,1),4456(a,1,1,1))]. given #4168 (H,wt=17): 4493 x * ((y \ T(z,x)) * y) = ((y \ z) * y) * x. [para(4477(a,1),113(a,1,2))]. given #4169 (H,wt=17): 4494 T((x \ (y / z)) * x,z) = (x \ (z \ y)) * x. [para(115(a,1),4477(a,2,1,2))]. given #4170 (H,wt=17): 4503 (R(x,y,z) \ T(x,u)) \ T(x,u) = R(x,y,z). [para(4482(a,1),64(a,1,1))]. given #4171 (H,wt=18): 4473 (x \ T(x * y,z)) * x != u | T(y * x,z) = u. [para(4454(a,1),215(a,1,1)),flip(b)]. given #4172 (H,wt=18): 4481 (x \ T(y,z)) * x != u | T((x \ y) * x,z) = u. [para(4456(a,1),215(a,1,1)),flip(b)]. given #4173 (H,wt=18): 4488 T(x * y,z) / y != u | y \ T(y * x,z) = u. [para(4471(a,1),295(a,1,1)),flip(b)]. given #4174 (H,wt=18): 4492 T((x \ y) * x,z) != u * x | x \ T(y,z) = u. [para(4477(a,2),20(a,1))]. given #4175 (H,wt=18): 4495 T((x \ y) * x,z) / x != u | x \ T(y,z) = u. [para(4477(a,2),295(a,1,1)),flip(b)]. given #4176 (H,wt=19): 4463 (x \ y) * (T(y,z) / (x \ y)) = T((x \ y) * x,z). [para(61(a,1),4453(a,1,1,2)),flip(a)]. given #4177 (H,wt=19): 4470 (x \ 1) * T((x \ 1) \ y,z) = T(y * x,z) / x. [hyper(228,a,868,a,b,4454,a),flip(a)]. given #4178 (H,wt=19): 4476 K(x \ 1,x) * T(K(x,x \ 1) * y,z) = T(y,z). [hyper(228,a,2938,a,b,4455,a(flip)),flip(a)]. given #4179 (H,wt=19): 4497 K(x * y,z) * (y * x) = (y * x) * K(x * y,z). [para(4486(a,1),113(a,1,2)),flip(a)]. given #4180 (H,wt=19): 4498 (x * ((y / z) / x)) * z = z * (x * ((z \ y) / x)). [para(115(a,1),4457(a,1,2,2,1)),flip(a)]. given #4181 (H,wt=19): 4499 (x * (((y * z) / y) / x)) * y = y * (x * (z / x)). [para(165(a,1),4457(a,1,2,2,1)),flip(a)]. given #4182 (H,wt=19): 4504 ((x \ (y / z)) * x) * z = z * ((x \ (z \ y)) * x). [para(115(a,1),4493(a,1,2,1,2)),flip(a)]. given #4183 (H,wt=19): 4506 (x * ((y \ (x \ z)) * y)) / x = (y \ (z / x)) * y. [para(4494(a,1),166(a,1,1,2))]. given #4184 (H,wt=19): 4511 T(K(x,x \ 1) * y,z) = K(x,x \ 1) * T(y,z). [hyper(2934,a,4476,a),flip(a)]. given #4185 (H,wt=19): 4512 T(K(x,x \ 1) * y,z) = T(y,z) * K(x,x \ 1). [hyper(2928,a,4476,a),flip(a)]. given #4186 (H,wt=19): 4519 (x * ((y \ z) * y)) / x = (y \ ((x * z) / x)) * y. [para(13(a,1),4506(a,1,1,2,1,2))]. given #4187 (H,wt=17): 4525 (x \ ((x * y) / x)) * x = (x \ y) * T(x,y). [hyper(4056,a,4519,a),flip(a)]. given #4188 (H,wt=19): 4522 T(x * K(y,y \ 1),z) = K(y,y \ 1) * T(x,z). [para(2341(a,1),4511(a,1,1))]. given #4189 (H,wt=20): 4507 T(x,y) / R(x,z,u) != w | R(x,z,u) \ T(x,y) = w. [para(4503(a,1),293(a,1,2)),flip(b)]. given #4190 (H,wt=21): 4363 (x \ ((y \ z) \ 1)) * (y \ z) = x \ K(z \ y,y \ z). [para(2786(a,1),4362(a,1,2)),flip(a)]. given #4191 (H,wt=21): 4366 (x \ (y / z)) * (1 / (y / z)) = x \ K(z \ y,y \ z). [para(3298(a,1),4364(a,1,2)),flip(a)]. given #4192 (H,wt=21): 4371 K(x \ 1,x) * (((x \ 1) * y) \ z) = ((1 / x) * y) \ z. [para(3027(a,1),4304(a,1,2,1))]. given #4193 (H,wt=21): 4376 (x * K(y,y \ 1)) / (z * ((y \ 1) \ 1)) = x / (z * y). [para(2877(a,1),4313(a,2,2))]. given #4194 (H,wt=19): 4526 (1 / (1 / x)) / (y * x) = x / (y * ((x \ 1) \ 1)). [para(1847(a,1),4376(a,1,1)),flip(a)]. given #4195 (H,wt=21): 4395 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = K(x,x \ 1). [hyper(228,a,2765,a,b,4387,a(flip)),flip(a)]. given #4196 (H,wt=21): 4426 K(x,x \ 1) * (((x \ 1) \ y) \ z) = ((1 / x) \ y) \ z. [para(3021(a,1),4369(a,1,1)),flip(a)]. given #4197 (H,wt=21): 4430 K(x \ 1,x) * (y \ (1 / z)) = y \ ((x \ 1) * (x / z)). [para(3080(a,1),4372(a,1,2)),flip(a)]. given #4198 (H,wt=21): 4435 K(x \ 1,x) * (y \ (z \ 1)) = y \ ((z \ (x \ 1)) * x). [para(3215(a,1),4404(a,1,2)),flip(a)]. given #4199 (H,wt=19): 4529 x \ ((y \ (z \ 1)) * z) = ((y * x) \ (z \ 1)) * z. [hyper(228,a,3216,a(flip),b,4435,a(flip))]. given #4200 (H,wt=19): 4530 (((x \ y) * z) \ (x \ 1)) * x = z \ ((y \ 1) * x). [para(249(a,1),4529(a,1,2,1)),flip(a)]. given #4201 (H,wt=21): 4436 (x \ 1) * (K(y,y \ 1) * z) = ((x \ y) * (1 / y)) * z. [hyper(3512,a,4406,a)]. given #4202 (H,wt=21): 4440 K(x,x \ 1) * (y * (z * (x \ 1))) = y * (z * (1 / x)). [para(2932(a,1),4406(a,2,2))]. given #4203 (H,wt=21): 4441 K(x,x \ 1) * (y * (z / (1 / x))) = y * (z / (x \ 1)). [para(2933(a,1),4406(a,2,2))]. given #4204 (H,wt=21): 4442 K(x,x \ 1) * (y * ((1 / x) \ z)) = y * ((x \ 1) \ z). [para(3019(a,1),4406(a,2,2))]. given #4205 (H,wt=21): 4445 (x / y) * (z * K(y,1 / y)) = (x / (1 / (1 / y))) * z. [para(4409(a,1),4410(a,1,1)),flip(a)]. given #4206 (H,wt=21): 4451 L(K(x \ y,y \ x),z,u) != w | K(x \ y,y \ x) = w. [para(4392(a,2),4450(a,1))]. given #4207 (H,wt=21): 4475 x * (y \ T(y * (x \ z),x)) = ((x \ (z * y)) * x) / y. [para(4454(a,1),3650(a,1,2))]. given #4208 (H,wt=21): 4524 T(((x \ 1) \ 1) \ y,z) * K(x,x \ 1) = T(x \ y,z). [para(2982(a,1),4512(a,1,1)),flip(a)]. given #4209 (H,wt=19): 4533 T(x,T(((y \ 1) \ 1) \ z,u)) = T(x,T(y \ z,u)). [para(4524(a,1),4329(a,1,2)),flip(a)]. given #4210 (H,wt=19): 4534 T(x,T((1 / y) \ z,u)) = T(x,T((y \ 1) \ z,u)). [para(64(a,1),4533(a,1,2,1,1,1)),flip(a)]. given #4211 (H,wt=21): 4531 (x \ 1) * (y * K(z,z \ 1)) = ((x \ z) * (1 / z)) * y. [para(2341(a,1),4436(a,1,2))]. given #4212 (H,wt=22): 4350 R(x,y,z) * (y * ((z \ 1) \ 1)) = (x * y) * ((z \ 1) \ 1). [para(4312(a,1),109(a,1,1))]. given #4213 (H,wt=21): 4536 (x * (y \ 1)) * ((y \ 1) \ 1) != z | R(x,y \ 1,y) = z. [para(4350(a,1),154(a,1)),flip(b)]. given #4214 (H,wt=17): 4538 (x \ (x / y)) \ 1 != z | R(y,x \ 1,x) = z. [para(627(a,1),4536(a,1))]. given #4215 (H,wt=21): 4537 (x \ 1) * ((y \ 1) \ 1) != z | R(x \ y,y \ 1,y) = z. [para(119(a,1),4536(a,1,1))]. given #4216 (H,wt=22): 4367 T(x,y) \ K(x,x \ 1) != z | x * (T(x,y) \ (1 / x)) = z. [para(4364(a,2),4204(a,1))]. given #4217 (H,wt=22): 4397 (x * y) * K(z,z \ 1) != u | x * (y * K(z,z \ 1)) = u. [para(4387(a,1),218(a,1,2))]. given #4218 (H,wt=20): 4539 ((x \ 1) \ 1) * y != z | x * (y * K(x,x \ 1)) = z. [para(3003(a,1),4397(a,1))]. given #4219 (H,wt=22): 4447 x \ (K(y,y \ 1) * z) != u | (x \ z) * K(y,y \ 1) = u. [para(4415(a,2),2347(a,1))]. given #4220 (H,wt=22): 4458 x * (T(y,z) / x) != u * w | T(x * (y / x),z) / w = u. [para(4452(a,1),276(a,1,2))]. given #4221 (H,wt=22): 4508 (x \ y) \ T((x \ y) * x,z) != u | T(y,z) / (x \ y) = u. [para(4463(a,1),284(a,1,2)),flip(b)]. given #4222 (H,wt=22): 4510 (x \ 1) * T((x \ 1) \ (x \ y),z) != u | x \ T(y,z) = u. [para(4470(a,2),4495(a,1))]. given #4223 (H,wt=22): 4520 ((x \ (y / z)) * x) * z != u | z * ((x \ (z \ y)) * x) = u. [para(4506(a,1),215(a,1,1)),flip(b)]. given #4224 (H,wt=23): 4351 T(x,R(1 / y,z,u) * K(w,w \ 1)) = T(x,R(y \ 1,z,u)). [hyper(228,a,3371,a(flip),b,4329,a)]. given #4225 (H,wt=23): 4365 x \ K(y * z,z \ (y \ 1)) = (x \ (y * z)) * (1 / (y * z)). [para(118(a,1),4364(a,1,2,2))]. given #4226 (H,wt=23): 4383 (x * (y * K(z \ 1,z))) * u = K(z \ 1,z) * ((x * y) * u). [para(4315(a,1),3448(a,1,1))]. given #4227 (H,wt=23): 4384 (x * (y * K(z \ 1,z))) \ u = (x * y) \ (K(z,z \ 1) * u). [para(4315(a,1),3471(a,1,1))]. given #4228 (H,wt=23): 4385 x / (y * (z * K(u \ 1,u))) = K(u,u \ 1) * (x / (y * z)). [para(4315(a,1),4310(a,1,2))]. given #4229 (H,wt=23): 4423 x \ (y * (K(z \ 1,z) * u)) = (x \ (y * u)) * K(z \ 1,z). [para(4368(a,1),4321(a,1,2))]. given #4230 (H,wt=23): 4434 (x * (K(y \ 1,y) * z)) \ u = K(y,y \ 1) * ((x * z) \ u). [para(4380(a,1),4369(a,1,1))]. given #4231 (H,wt=23): 4443 x \ (y * (K(z,z \ 1) * u)) = (x \ (y * u)) * K(z,z \ 1). [para(4406(a,1),4334(a,1,2))]. given #4232 (H,wt=23): 4444 (x * (K(y,y \ 1) * z)) \ u = ((x * z) \ u) * K(y \ 1,y). [para(4406(a,1),4401(a,1,1))]. given #4233 (H,wt=23): 4474 T(K(x,y) * (y * x),z) / (y * x) = (y * x) \ T(x * y,z). [para(93(a,1),4454(a,2,2,1))]. given #4234 (H,wt=23): 4517 ((x \ (y * (z \ 1))) * x) / (z \ 1) = z * ((x \ (z \ y)) * x). [hyper(228,a,3558,a,b,4504,a(flip)),flip(a)]. given #4235 (H,wt=23): 4532 ((x \ (y / (z \ 1))) * x) * (z \ 1) = ((x \ (y * z)) * x) / z. [hyper(228,a,1299,a,b,4475,a(flip)),flip(a)]. given #4236 (H,wt=23): 4540 T(x,R(K(y,y \ 1) * (1 / z),u,w)) = T(x,R(z \ 1,u,w)). [para(3547(a,2),4351(a,1,2))]. given #4237 (H,wt=21): 4549 T(x,R(K(y,y \ 1) / z,u,w)) = T(x,R(z \ 1,u,w)). [para(3431(a,1),4540(a,1,2,1))]. given #4238 (H,wt=21): 4550 T(x,R(y \ K(z,z \ 1),u,w)) = T(x,R(y \ 1,u,w)). [hyper(228,a,3378,a(flip),b,4549,a(flip)),flip(a)]. given #4239 (H,wt=23): 4542 (x * (y * K(z \ 1,z))) \ u = (x * y) \ (K(z \ 1,z) \ u). [hyper(71,a,57,a(flip),b,4383,a)]. given #4240 (H,wt=23): 4544 K(x \ 1,x) * (y / (z * (u * K(x \ 1,x)))) = y / (z * u). [hyper(2919,a,4385,a(flip))]. given #4241 (H,wt=19): 4553 x / (K(y,y \ 1) * z) = K(y \ 1,y) * (x / z). [para(2923(a,1),4544(a,1,2,2)),flip(a)]. given #4242 (H,wt=19): 4554 x / (y * K(z,z \ 1)) = K(z \ 1,z) * (x / y). [para(2341(a,1),4553(a,1,2))]. given #4243 (H,wt=23): 4548 (x \ 1) * ((y \ ((x \ 1) \ z)) * y) = ((y \ (z * x)) * y) / x. [hyper(4520,a,4532,a)]. given #4244 (H,wt=23): 4552 (x * K(y \ 1,y)) \ (z \ 1) = (z * x) \ (K(y \ 1,y) \ 1). [hyper(228,a,118,a(flip),b,4542,a(flip)),flip(a)]. given #4245 (H,wt=21): 4555 (x * K(y \ 1,y)) \ (z \ 1) = (z * x) \ K(y,y \ 1). [para(404(a,1),4552(a,2,2))]. given #4246 (H,wt=21): 4556 (x * K(y \ 1,y)) \ (z \ 1) = ((z * x) \ y) * (1 / y). [hyper(228,a,4364,a(flip),b,4555,a)]. given #4247 (H,wt=21): 4557 x \ (K(y,y \ 1) * (z \ 1)) = ((z * x) \ y) * (1 / y). [hyper(228,a,3471,a(flip),b,4556,a(flip)),flip(a)]. given #4248 (H,wt=15): 4558 ((x * y) \ x) * (1 / x) = y \ (1 / x). [para(1872(a,1),4557(a,1,2)),flip(a)]. given #4249 (H,wt=18): 4561 x \ (1 / y) != z * (1 / y) | (y * x) \ y = z. [para(4558(a,1),20(a,1))]. given #4250 (H,wt=19): 4559 x \ ((y \ z) * (1 / z)) = ((y * x) \ z) * (1 / z). [para(2950(a,1),4557(a,1,2))]. given #4251 (H,wt=22): 4563 x \ ((y \ z) * (1 / z)) != u * (1 / z) | (y * x) \ z = u. [para(4559(a,2),20(a,1))]. given #4252 (H,wt=23): 4562 ((x * y) \ (x * z)) * (1 / (x * z)) = y \ (z * (1 / (x * z))). [para(13(a,1),4559(a,1,2,1)),flip(a)]. given #4253 (H,wt=24): 4489 T(x * y,z) \ T(y * x,z) != u | K(x \ T(x * y,z),x) = u. [para(4471(a,1),425(a,1,2))]. given #4254 (H,wt=24): 4502 x * T(x \ T(y,z),x) != u * w | T((x \ y) * x,z) / w = u. [para(4478(a,1),276(a,1,2))]. given #4255 (H,wt=25): 4500 x / ((((y \ 1) * x) \ x) * ((y \ 1) * x)) = T((y \ x) * y,x) / x. [para(3645(a,1),4468(a,1,1,1)),flip(a)]. given #4256 (H,wt=17): 4565 T((x \ y) * x,y) / y = y / (x * (y / x)). [para(4193(a,1),4500(a,1,2)),flip(a)]. given #4257 (H,wt=15): 4566 ((x \ y) * x) / y = y / (x * (y / x)). [para(4469(a,1),4565(a,1,1))]. given #4258 (H,wt=15): 4567 ((x \ y) * x) / y = x \ (y / (y / x)). [hyper(228,a,3917,a(flip),b,4566,a)]. given #4259 (H,wt=17): 4568 (1 / x) * ((y \ x) * y) = y \ (x / (x / y)). [hyper(228,a,3728,a,b,4567,a(flip)),flip(a)]. given #4260 (H,wt=24): 4569 L((x \ ((y \ 1) \ 1)) * x,y \ 1,y) = y * (x \ (y / (y / x))). [para(4568(a,1),3689(a,2,2))]. given #4261 (H,wt=25): 4528 K(x \ 1,x) * ((y \ (1 / z)) / u) = (y \ ((x \ 1) * (x / z))) / u. [para(4430(a,1),3447(a,1,1)),flip(a)]. given #4262 (H,wt=25): 4535 (x * y) * ((z \ 1) \ 1) != u * (y * ((z \ 1) \ 1)) | R(x,y,z) = u. [para(4350(a,1),20(a,1))]. given #4263 (H,wt=26): 4336 (x * y) \ ((x * (y * z)) * K(1 / u,u)) = L(z,y,x) * K(1 / u,u). [para(4320(a,1),512(a,1,1))]. given #4264 (H,wt=26): 4432 (x * y) \ (x * (K(z \ 1,z) * (y * u))) = L(u * K(z \ 1,z),y,x). [para(4378(a,2),28(a,2,2,2)),flip(a)]. given #4265 (H,wt=26): 4545 x / (y * (z * K(u \ 1,u))) != w | (x / (y * z)) * K(u,u \ 1) = w. [para(4385(a,2),2347(a,1))]. given #4266 (H,wt=26): 4546 (x * y) \ (x * (K(z \ 1,z) * (y * u))) = L(u,y,x) * K(z \ 1,z). [para(28(a,2),4423(a,2,1))]. given #4267 (H,wt=21): 4571 L(x * K(y \ 1,y),z,u) = L(x,z,u) * K(y \ 1,y). [hyper(228,a,4432,a(flip),b,4546,a(flip)),flip(a)]. given #4268 (H,wt=21): 4572 L(x * K(y \ 1,y),z,u) = K(y \ 1,y) * L(x,z,u). [hyper(228,a,2353,a,b,4571,a)]. given #4269 (H,wt=21): 4575 K(x \ 1,x) * L(y * K(x,x \ 1),z,u) = L(y,z,u). [para(2911(a,1),4572(a,1,1)),flip(a)]. given #4270 (H,wt=17): 4578 (x \ L(x * (y / x),z,u)) * x = L(y,z,u). [hyper(228,a,3260,a(flip),b,4575,a(flip)),flip(a)]. given #4271 (H,wt=17): 4580 (x \ L(x * y,z,u)) * x = L(y * x,z,u). [para(15(a,1),4578(a,1,1,2,1,2))]. given #4272 (H,wt=17): 4581 L(x * (y / x),z,u) = x * (L(y,z,u) / x). [para(4578(a,1),60(a,1,2,1)),flip(a)]. given #4273 (H,wt=17): 4582 L((x \ y) * x,z,u) = (x \ L(y,z,u)) * x. [para(60(a,1),4578(a,1,1,2,1)),flip(a)]. given #4274 (H,wt=20): 4583 L(x * y,z,u) != w * y | y \ L(y * x,z,u) = w. [para(4580(a,1),20(a,1))]. given #4275 (H,wt=21): 4576 L(x * K(y,y \ 1),z,u) = K(y,y \ 1) * L(x,z,u). [hyper(2934,a,4575,a),flip(a)]. given #4276 (H,wt=19): 4588 K(x,x \ 1) * L(x,y,z) = L(T(x,x \ 1),y,z). [para(432(a,1),4576(a,1,1)),flip(a)]. given #4277 (H,wt=19): 4590 x * (L(x,y,z) * (1 / x)) = L(T(x,x \ 1),y,z). [hyper(228,a,2073,a(flip),b,4588,a(flip)),flip(a)]. given #4278 (H,wt=19): 4591 x * (L(x,y,z) * (1 / x)) = L((x \ 1) \ 1,y,z). [para(114(a,1),4590(a,2,1))]. given #4279 (H,wt=19): 4592 x \ L((x \ 1) \ 1,y,z) = L(x,y,z) * (1 / x). [hyper(77,a,4591,a)]. given #4280 (H,wt=19): 4593 T(L(x,y,z) * (1 / x),x) = L(x,y,z) * (1 / x). [hyper(228,a,1899,a,b,4592,a(flip)),flip(a)]. given #4281 (H,wt=13): 4594 (x \ L(x,y,z)) * x = L(x,y,z). [hyper(2174,a,4593,a)]. given #4282 (H,wt=10): 4595 T(x,x \ L(x,y,z)) = x. [hyper(266,a,4594,a)]. given #4283 (H,wt=10): 4598 K(x \ L(x,y,z),x) = 1. [hyper(70,a,4594,a(flip),b,239,a),flip(a)]. given #4284 (H,wt=10): 4600 K(x,x \ L(x,y,z)) = 1. [hyper(36,a,4595,a)]. given #4285 (H,wt=13): 4596 L(x,y,z) / x = x \ L(x,y,z). [hyper(85,a,4594,a)]. given #4286 (H,wt=15): 4602 (1 / x) * L(x,y,z) = x \ L(x,y,z). [hyper(228,a,1013,a,b,4596,a(flip)),flip(a)]. given #4287 (H,wt=16): 4599 L(x,y,z) / x != u | x \ L(x,y,z) = u. [para(4594(a,1),295(a,1,1)),flip(b)]. given #4288 (H,wt=21): 4577 L(x * K(y,y \ 1),z,u) = L(x,z,u) * K(y,y \ 1). [hyper(2928,a,4575,a),flip(a)]. given #4289 (H,wt=19): 4603 L(x \ 1,y,z) * K(x,x \ 1) = L(1 / x,y,z). [para(1869(a,1),4577(a,1,1)),flip(a)]. given #4290 (H,wt=21): 4601 T(x,y) * (x \ L(x,z,u)) = (x \ L(x,z,u)) * T(x,y). [para(4595(a,1),182(a,1,2,1)),flip(a)]. given #4291 (H,wt=21): 4604 L(x \ 1,y,z) \ K(x \ 1,x) = L(1 / x,y,z) \ 1. [para(4603(a,1),2367(a,1,1)),flip(a)]. given #4292 (H,wt=21): 4607 (L(x \ 1,y,z) \ (x \ 1)) \ (L(1 / x,y,z) \ 1) = x. [hyper(71,a,4604,a(flip),b,4362,a(flip))]. given #4293 (H,wt=22): 4584 (x * y) * ((z \ L(u,y,x)) * z) = x * (y * ((z \ u) * z)). [para(4582(a,1),100(a,1,2))]. given #4294 (H,wt=22): 4585 L((x \ ((y \ 1) \ z)) * x,y \ 1,y) = (x \ (y * z)) * x. [para(460(a,1),4582(a,2,1,2))]. given #4295 (H,wt=23): 4609 (x \ 1) * ((y \ ((x \ 1) \ z)) * y) = x \ ((y \ (x * z)) * y). [hyper(71,a,4585,a(flip),b,190,a),flip(a)]. given #4296 (H,wt=19): 4611 ((x \ (y * z)) * x) / z = z \ ((x \ (z * y)) * x). [hyper(228,a,4548,a(flip),b,4609,a(flip)),flip(a)]. given #4297 (H,wt=19): 4612 (x \ ((y \ (x * z)) * y)) * x = (y \ (z * x)) * y. [para(4611(a,1),16(a,1,1))]. given #4298 (H,wt=22): 4613 (x \ ((y \ (x * z)) * y)) * x != u | (y \ (z * x)) * y = u. [para(4611(a,1),215(a,1,1)),flip(b)]. given #4299 (H,wt=22): 4614 (x \ ((y \ (x * z)) * y)) * x != u * y | y \ (z * x) = u. [para(4612(a,2),20(a,1))]. given #4300 (H,wt=24): 4586 L((x \ ((y \ z) \ u)) * x,y \ z,y) = (x \ (z \ (y * u))) * x. [para(458(a,1),4582(a,2,1,2))]. given #4301 (H,wt=19): 4615 (x \ (1 \ (y * 1))) * x = y * (x \ (y / (y / x))). [hyper(228,a,4569,a(flip),b,4586,a(flip))]. given #4302 (H,wt=15): 4616 x * (y \ (x / (x / y))) = (y \ x) * y. [para(122(a,1),4615(a,1,1,2)),flip(a)]. given #4303 (H,wt=13): 4617 x \ (y / (y / x)) = K(x \ y,x). [hyper(17,a,239,a,b,4616,a)]. given #4304 (H,wt=13): 4619 ((x \ y) * x) / y = K(x \ y,x). [hyper(228,a,4567,a,b,4617,a(flip)),flip(a)]. given #4305 (H,wt=13): 4620 x / (y * (x / y)) = K(y \ x,y). [hyper(228,a,3917,a,b,4617,a(flip)),flip(a)]. given #4306 (H,wt=13): 4621 x / (x / y) = y * K(y \ x,y). [para(4617(a,1),14(a,1,2)),flip(a)]. given #4307 (H,wt=13): 4623 K(x \ y,x) * y = (x \ y) * x. [para(4619(a,1),16(a,1,1))]. given #4308 (H,wt=9): 4634 T(x,K(y \ x,y)) = x. [hyper(426,a,4623,a)]. given #4309 (H,wt=9): 4638 T(x,K(y,x / y)) = x. [para(64(a,1),4634(a,1,2,1))]. given #4310 (H,wt=11): 4637 T(x * y,K(y,x)) = x * y. [para(13(a,1),4634(a,1,2,1))]. given #4311 (H,wt=13): 4624 K(x \ y,x) * (x * (y / x)) = y. [para(4620(a,1),16(a,1,1))]. given #4312 (H,wt=13): 4628 (x * K(x \ y,x)) * (y / x) = y. [para(4621(a,1),16(a,1,1))]. given #4313 (H,wt=15): 4618 (1 / x) * ((y \ x) * y) = K(y \ x,y). [hyper(228,a,4568,a,b,4617,a(flip)),flip(a)]. given #4314 (H,wt=15): 4627 (x * y) / ((x * y) / x) = x * K(y,x). [para(13(a,1),4621(a,2,2,1))]. given #4315 (H,wt=9): 4641 K(x,y) = T(y,x) \ y. [hyper(3632,a,4627,a),flip(a)]. given #4316 (H,wt=9): 4645 K(x,y) = y / T(y,x). [hyper(228,a,2484,a,b,4641,a)]. given #4317 (H,wt=9): 4649 K(x,y) = x \ T(x,y). [hyper(228,a,3900,a(flip),b,4641,a)]. given #4318 (H,wt=9): 4655 T(x,y) * K(y,x) = x. [para(4641(a,2),14(a,1,2))]. given #4319 (H,wt=9): 4658 T(x,y) = x / K(y,x). [para(4641(a,2),61(a,1,2)),flip(a)]. given #4320 (H,wt=9): 4665 K(x,y) * T(y,x) = y. [para(4641(a,2),2489(a,1,1))]. given #4321 (H,wt=9): 4666 T(x,y) = K(y,x) \ x. [para(4641(a,2),2490(a,1,1)),flip(a)]. given #4322 (H,wt=9): 4674 T(x * K(y,x),y) = x. [para(4641(a,2),3907(a,1,1,2))]. given #4323 (H,wt=9): 4696 K(x,y) = T(x,y) / x. [hyper(228,a,2551,a,b,4649,a)]. given #4324 (H,wt=9): 4705 T(x,y) = x * K(x,y). [para(4649(a,2),14(a,1,2)),flip(a)]. given #4325 (H,wt=9): 4712 T(x,y) = K(x,y) * x. [para(4649(a,2),2553(a,1,1)),flip(a)]. given #4326 (H,wt=9): 4752 T(K(x,y) * y,x) = y. [para(2501(a,2),4674(a,1,1))]. given #4327 (H,wt=11): 4643 K(x,y) = (x * y) / (y * x). [hyper(228,a,3835,a,b,4641,a)]. given #4328 (H,wt=11): 4644 K(x,y) = ((y * x) / y) \ x. [hyper(228,a,3576,a,b,4641,a)]. given #4329 (H,wt=11): 4646 K(x,y) = (1 / T(y,x)) * y. [hyper(228,a,2481,a,b,4641,a)]. given #4330 (H,wt=11): 4647 K(x,y) = y * (T(y,x) \ 1). [hyper(228,a,1059,a,b,4641,a)]. given #4331 (H,wt=11): 4652 K(x,y) / y = 1 / T(y,x). [hyper(72,a,4641,a,b,2481,a)]. given #4332 (H,wt=11): 4653 T(x,y) \ 1 = x \ K(y,x). [hyper(71,a,4641,a,b,1059,a),flip(a)]. given #4333 (H,wt=11): 4667 T(x,y) = (K(y,x) / x) \ 1. [para(4641(a,2),2496(a,1,1,1)),flip(a)]. given #4334 (H,wt=11): 4668 K(x,y) * ((y * x) / y) = x. [para(4641(a,2),3577(a,1,1))]. given #4335 (H,wt=11): 4671 K(x,y) * (y * x) = x * y. [para(4641(a,2),3833(a,1,1))]. given #4336 (H,wt=11): 4673 (x * y) / x = y * K(x,y). [para(4641(a,2),3902(a,2,2))]. given #4337 (H,wt=11): 4687 x \ T(x,y) = T(K(x,y),x). [hyper(4003,a,4649,a),flip(a)]. given #4338 (H,wt=11): 4691 K(x,y) = ((x * y) / x) / y. [hyper(228,a,3570,a,b,4649,a)]. given #4339 (H,wt=11): 4693 K(x,y) = y \ ((x * y) / x). [hyper(228,a,3565,a,b,4649,a)]. given #4340 (H,wt=11): 4694 K(x,y) = (1 / x) * T(x,y). [hyper(228,a,2559,a,b,4649,a)]. given #4341 (H,wt=11): 4697 K(x,y) = T(x,y) * (x \ 1). [hyper(228,a,922,a,b,4649,a)]. given #4342 (H,wt=11): 4703 T(x,y) \ K(x,y) = x \ 1. [hyper(71,a,4649,a,b,922,a)]. given #4343 (H,wt=11): 4715 (x * K(y,x)) * y = y * x. [para(4649(a,2),3562(a,1,1,2))]. given #4344 (H,wt=11): 4716 (x * y) / x = K(x,y) * y. [para(4649(a,2),3571(a,1,1)),flip(a)]. given #4345 (H,wt=11): 4743 (x * K(y,x)) \ (y * x) = y. [para(4674(a,1),167(a,1,2,2))]. given #4346 (H,wt=11): 4755 T(x,y * K(x,y)) = T(x,y). [para(4674(a,1),3921(a,1,2)),flip(a)]. given #4347 (H,wt=11): 4783 x * (K(y,x) * y) = y * x. [para(4712(a,1),113(a,1,2))]. given #4348 (H,wt=11): 4800 K(x,y) \ x = (y * x) / y. [para(4644(a,2),2580(a,1,1))]. given #4349 (H,wt=11): 4806 T(x,y) = 1 / (x \ K(y,x)). [para(4653(a,1),61(a,1,2)),flip(a)]. given #4350 (H,wt=11): 4810 K(x,y) = x / ((y * x) / y). [hyper(85,a,4668,a),flip(a)]. given #4351 (H,wt=11): 4824 T(x,y) * K(y,T(x,y)) = x. [hyper(298,a,4673,a)]. given #4352 (H,wt=9): 4871 K(x,T(y,x)) = K(x,y). [hyper(17,a,4655,a,b,4824,a)]. given #4353 (H,wt=11): 4867 K(x,y) \ x = x * K(y,x). [hyper(228,a,4673,a(flip),b,4800,a)]. given #4354 (H,wt=9): 4878 K(T(x,y),y) = K(x,y). [hyper(4034,a,4867,a)]. given #4355 (H,wt=9): 4879 K(x,y) \ 1 = K(y,x). [hyper(2677,a,4867,a)]. given #4356 (H,wt=9): 4886 K(x,y) * K(y,x) = 1. [para(4878(a,1),4027(a,1,1))]. given #4357 (H,wt=9): 4894 1 / K(x,y) = K(y,x). [para(4879(a,1),61(a,1,2))]. given #4358 (H,wt=11): 4874 K(x,y / x) = K(x,x \ y). [para(115(a,1),4871(a,1,2)),flip(a)]. given #4359 (H,wt=9): 4916 T(x,K(y,y \ x)) = x. [para(4874(a,1),4638(a,1,2))]. given #4360 (H,wt=11): 4881 K(x \ (y * x),x) = K(y,x). [para(32(a,1),4878(a,1,1))]. given #4361 (H,wt=11): 4882 K(x / y,y) = K(y \ x,y). [para(115(a,1),4878(a,1,1)),flip(a)]. given #4362 (H,wt=11): 4889 K(x * K(y,x),y) = K(x,y). [para(4674(a,1),4878(a,1,1)),flip(a)]. given #4363 (H,wt=12): 4661 x / K(y,x) != z | T(x,y) = z. [para(4641(a,2),293(a,1,2)),flip(b)]. given #4364 (H,wt=12): 4684 K(x,y) \ y != z | T(y,x) = z. [para(4645(a,2),283(a,1,1)),flip(b)]. given #4365 (H,wt=12): 4708 x * K(x,y) != z | T(x,y) = z. [para(4649(a,2),213(a,1,2)),flip(b)]. given #4366 (H,wt=12): 4713 K(x,y) * x != z | T(x,y) = z. [para(4649(a,2),2560(a,1,1))]. given #4367 (H,wt=12): 4729 T(x,y) * z != x | K(y,x) = z. [para(4655(a,1),19(a,1)),flip(a)]. given #4368 (H,wt=12): 4731 T(x,y) \ x != z | K(y,x) = z. [para(4655(a,1),284(a,1,2)),flip(b)]. given #4369 (H,wt=12): 4739 x / T(x,y) != z | K(y,x) = z. [para(4665(a,1),295(a,1,1)),flip(b)]. given #4370 (H,wt=12): 4771 T(x,y) != x * z | K(x,y) = z. [para(4705(a,2),19(a,1))]. given #4371 (H,wt=12): 4773 x \ T(x,y) != z | K(x,y) = z. [para(4705(a,2),284(a,1,2)),flip(b)]. given #4372 (H,wt=12): 4784 T(x,y) / x != z | K(x,y) = z. [para(4712(a,2),295(a,1,1)),flip(b)]. given #4373 (H,wt=12): 4857 K(x,y) != z | x \ T(x,y) = z. [para(4694(a,2),3821(a,1))]. given #4374 (H,wt=12): 4887 K(x,y) \ 1 != z | K(y,x) = z. [para(4878(a,1),4032(a,1,1))]. given #4375 (H,wt=12): 4888 K(x,T(y,x)) != z | K(x,y) = z. [para(4878(a,1),4035(a,1))]. given #4376 (H,wt=12): 4897 1 / K(x,y) != z | K(y,x) = z. [para(4879(a,1),293(a,1,2)),flip(b)]. given #4377 (H,wt=12): 4908 K(x,y) * z != 1 | K(y,x) = z. [para(4886(a,1),19(a,1)),flip(a)]. given #4378 (H,wt=12): 4935 T(K(x,y),x) != z | K(x,y) = z. [para(4687(a,1),4773(a,1))]. given #4379 (H,wt=13): 4642 K(x \ (x / y),x) = K(y \ 1,x). [hyper(228,a,3892,a,b,4641,a),flip(a)]. given #4380 (H,wt=13): 4650 x * T(x \ 1,y) = K(x \ 1,y). [hyper(228,a,3891,a(flip),b,4641,a),flip(a)]. given #4381 (H,wt=13): 4662 ((x \ y) \ y) * K(x \ y,x) = x. [para(4641(a,2),312(a,1,2))]. given #4382 (H,wt=13): 4664 (x \ 1) * K(y,x) = T(x,y) \ 1. [para(4641(a,2),2394(a,1,2))]. given #4383 (H,wt=13): 4669 K(x \ K(x,y),x) = K(x \ 1,x). [para(4641(a,2),3586(a,1,1,2))]. given #4384 (H,wt=13): 4675 x * (K(x,y) * z) = T(x,y) * z. [para(4641(a,2),3903(a,1,2,1))]. given #4385 (H,wt=13): 4676 T(x,y) * (x \ z) = K(x,y) * z. [para(4641(a,2),3904(a,2,1))]. given #4386 (H,wt=13): 4680 x * (T(x,y) \ z) = K(y,x) * z. [para(4641(a,2),4202(a,1,1)),flip(a)]. given #4387 (H,wt=13): 4681 K(x,y) * (T(y,x) * z) = y * z. [para(4641(a,2),4203(a,1,1))]. given #4388 (H,wt=13): 4690 K(x,y) = ((x * y) / x) * (y \ 1). [hyper(228,a,3573,a,b,4649,a)]. given #4389 (H,wt=13): 4699 x * T(x \ 1,y) = K(1 / x,y). [hyper(228,a,698,a(flip),b,4649,a),flip(a)]. given #4390 (H,wt=13): 4701 ((x * y) / x) \ K(x,y) = y \ 1. [hyper(71,a,4649,a,b,3573,a)]. given #4391 (H,wt=13): 4704 x \ T(x,y \ 1) = K(x,1 / y). [hyper(228,a,3240,a,b,4649,a(flip))]. given #4392 (H,wt=13): 4717 (x \ y) * K(x,x \ y) = y / x. [para(4649(a,2),3564(a,1,2))]. given #4393 (H,wt=13): 4718 K(x,y) \ (x \ z) = T(x,y) \ z. [para(4649(a,2),3741(a,1,1))]. given #4394 (H,wt=13): 4720 K(x,y) * (x * z) = T(x,y) * z. [para(4649(a,2),3745(a,1,1))]. given #4395 (H,wt=13): 4721 x * (T(x,y) \ z) = K(x,y) \ z. [para(4649(a,2),3751(a,1,1)),flip(a)]. given #4396 (H,wt=11): 5035 K(x,y) \ z = K(y,x) * z. [hyper(228,a,4680,a(flip),b,4721,a(flip))]. given #4397 (H,wt=11): 5036 (K(x,y) \ z) / z = K(y,x). [hyper(72,a,4721,a(flip),b,4680,a(flip))]. given #4398 (H,wt=11): 5037 (x * K(y,z)) \ x = K(z,y). [hyper(4561,a,5035,a)]. given #4399 (H,wt=11): 5040 x / (K(y,z) * x) = K(z,y). [hyper(438,a,5035,a)]. given #4400 (H,wt=11): 5042 K(x,y) * (K(y,x) * z) = z. [hyper(284,a,5035,a)]. given #4401 (H,wt=11): 5062 (x * K(y,z)) * K(z,y) = x. [para(5037(a,1),14(a,1,2))]. given #4402 (H,wt=11): 5063 x / K(y,z) = x * K(z,y). [para(5037(a,1),61(a,1,2))]. given #4403 (H,wt=12): 5057 K(x,y) != z | K(y,x) \ 1 = z. [para(5036(a,1),148(a,1)),flip(b)]. given #4404 (H,wt=13): 4722 K(x,y) \ (T(x,y) * z) = x * z. [para(4649(a,2),3800(a,1,1))]. given #4405 (H,wt=13): 4723 K(x,x \ y) * y = x * (y / x). [para(4649(a,2),3808(a,1,1))]. given #4406 (H,wt=13): 4726 K(x,x \ y) \ y = (x \ y) * x. [para(4649(a,2),4175(a,1,1))]. given #4407 (H,wt=13): 4734 ((x \ y) \ y) * K(y / x,x) = x. [para(3968(a,1),4655(a,1,1))]. given #4408 (H,wt=13): 4735 x * (y * K(x,y)) = T(x,y) * y. [para(4655(a,1),4215(a,1,2)),flip(a)]. given #4409 (H,wt=13): 4738 K(x,y / x) * (x \ y) = y / x. [para(115(a,1),4665(a,1,2))]. given #4410 (H,wt=13): 4740 T(x,x \ (x / y)) = T(x,y \ 1). [hyper(228,a,3899,a(flip),b,4666,a)]. given #4411 (H,wt=13): 4742 T(T(x * K(y,x),z),y) = T(x,z). [para(4674(a,1),38(a,1,1)),flip(a)]. given #4412 (H,wt=13): 4754 T(K(x,y \ 1) / y,x) = 1 / y. [para(3250(a,1),4674(a,1,1))]. given #4413 (H,wt=13): 4765 T(x,T(y,T(x,z))) = x * K(x,y). [hyper(228,a,4246,a,b,4705,a(flip)),flip(a)]. given #4414 (H,wt=11): 5103 K(x,T(y,T(x,z))) = K(x,y). [hyper(4771,a,4765,a)]. given #4415 (H,wt=13): 4767 T(x,T(y,x / y)) = x * K(x,y). [hyper(228,a,3975,a,b,4705,a(flip)),flip(a)]. given #4416 (H,wt=11): 5106 K(x,T(y,x / y)) = K(x,y). [hyper(4771,a,4767,a)]. given #4417 (H,wt=11): 5107 K(x,(y \ x) \ x) = K(x,y). [para(3968(a,1),5106(a,1,2))]. given #4418 (H,wt=11): 5108 K(x,x / y) = K(x,y \ x). [para(64(a,1),5107(a,1,2,1)),flip(a)]. given #4419 (H,wt=13): 4795 x / ((y \ x) * y) = K(y,y \ x). [para(14(a,1),4643(a,2,1)),flip(a)]. given #4420 (H,wt=13): 4797 K(x,y) = x * (((y * x) / y) \ 1). [hyper(228,a,1405,a,b,4644,a)]. given #4421 (H,wt=13): 4798 ((x * y) / x) \ 1 = y \ K(y,x). [hyper(71,a,4644,a,b,1405,a),flip(a)]. given #4422 (H,wt=13): 4811 K(x \ y,x) * (y / x) = x \ y. [para(14(a,1),4668(a,1,2,1))]. given #4423 (H,wt=13): 4815 K(x,y / x) * y = x * (y / x). [para(16(a,1),4671(a,1,2))]. given #4424 (H,wt=13): 4829 x / (x / y) = y * K(x / y,y). [hyper(228,a,225,a(flip),b,4673,a(flip)),flip(a)]. given #4425 (H,wt=13): 4830 (x * K(y / x,x)) \ y = y / x. [para(4673(a,1),277(a,1,1))]. given #4426 (H,wt=13): 4847 K(x,y) = (1 / y) * ((x * y) / x). [para(4673(a,2),2524(a,1,2)),flip(a)]. given #4427 (H,wt=13): 4853 (x \ y) \ (y / x) = K(x,x \ y). [para(14(a,1),4693(a,2,2,1)),flip(a)]. given #4428 (H,wt=13): 4858 K(1 / x,y) / x = T(1 / x,y). [hyper(313,a,4697,a(flip))]. given #4429 (H,wt=13): 4870 x / (y / (y / x)) = K(x,x \ y). [para(3906(a,1),4810(a,2,2)),flip(a)]. given #4430 (H,wt=13): 4892 (x \ K(y,z)) \ (x \ 1) = K(z,y). [hyper(228,a,249,a,b,4879,a(flip)),flip(a)]. given #4431 (H,wt=13): 4893 (K(x,y) * z) \ 1 = z \ K(y,x). [hyper(71,a,4879,a(flip),b,47,a),flip(a)]. given #4432 (H,wt=13): 4895 (x \ K(y,z)) * K(z,y) = x \ 1. [para(4879(a,1),119(a,1,2))]. given #4433 (H,wt=13): 4896 (K(x,y) / z) \ 1 = z * K(y,x). [para(4879(a,1),120(a,2,2))]. given #4434 (H,wt=13): 4898 1 / (x * K(y,z)) = K(z,y) / x. [para(4879(a,1),259(a,1,2,2))]. given #4435 (H,wt=13): 4905 (x * K(y,x)) \ 1 = x \ K(x,y). [para(4879(a,1),2505(a,2,2))]. given #4436 (H,wt=13): 4910 (x \ 1) / K(y,z) = x \ K(z,y). [para(4894(a,1),304(a,2,2))]. given #4437 (H,wt=13): 4914 x \ (y * (x / y)) = K(y,y \ x). [hyper(228,a,96,a,b,4874,a(flip)),flip(a)]. given #4438 (H,wt=13): 4915 x * K(y,y \ x) = y * (x / y). [para(4874(a,1),240(a,1,2))]. given #4439 (H,wt=13): 4920 x * K(x / y,y) = (y \ x) * y. [para(4882(a,2),239(a,1,2))]. given #4440 (H,wt=13): 4953 K(x \ 1,y) / x = T(1 / x,y). [para(4642(a,1),940(a,1,1))]. given #4441 (H,wt=13): 4959 T(1 / x,y) * x = K(x \ 1,y). [hyper(413,a,4650,a)]. given #4442 (H,wt=13): 4976 x \ (T(x,y) * z) = K(x,y) * z. [hyper(77,a,4675,a)]. given #4443 (H,wt=13): 4977 K(x,y) * (T(x,y) \ z) = x \ z. [hyper(71,a,14,a(flip),b,4675,a),flip(a)]. given #4444 (H,wt=13): 4987 K(x,y) \ (y * z) = T(y,x) * z. [hyper(4216,a,4676,a)]. given #4445 (H,wt=13): 4995 (x * y) / (T(x,z) * y) = K(z,x). [hyper(72,a,4212,a(flip),b,4676,a(flip))]. given #4446 (H,wt=13): 4997 x \ (K(y,x) * z) = T(x,y) \ z. [hyper(71,a,4676,a(flip),b,4206,a(flip))]. given #4447 (H,wt=13): 5003 T(x,y) \ (x * z) = K(y,x) * z. [hyper(1113,a,4680,a)]. given #4448 (H,wt=13): 5004 K(x,y) * (y \ z) = T(y,x) \ z. [hyper(1076,a,4680,a),flip(a)]. given #4449 (H,wt=13): 5007 T(x,y) * (K(y,x) * z) = x * z. [para(4680(a,1),1054(a,1,2))]. given #4450 (H,wt=13): 5020 K(x,(x / y) / x) = K(x,1 / y). [hyper(3605,a,4704,a)]. given #4451 (H,wt=13): 5025 (x \ y) / (T(x,z) \ y) = K(x,z). [para(4718(a,1),61(a,1,2))]. given #4452 (H,wt=13): 5038 (x \ 1) / (x \ K(x,y)) = K(y,x). [hyper(2699,a,5035,a)]. given #4453 (H,wt=13): 5039 K(x,y) * (y \ K(y,x)) = y \ 1. [hyper(2698,a,5035,a),flip(a)]. given #4454 (H,wt=13): 5044 x \ (K(y,z) \ x) = T(K(z,y),x). [hyper(71,a,5035,a,b,113,a)]. given #4455 (H,wt=13): 5094 (x * K(y,z)) \ (x * T(y,z)) = y. [hyper(18,a,4562,a,b,4722,a(flip)),flip(a)]. given #4456 (H,wt=13): 5104 T(x,y * K(y,z)) = T(x,T(y,z)). [para(4765(a,1),4089(a,1,2))]. given #4457 (H,wt=13): 5110 T(x,x \ K(x,y)) = (x \ 1) \ 1. [para(4798(a,1),2403(a,1,2))]. given #4458 (H,wt=13): 5121 T(1 / x,(y * x) / y) = x \ 1. [hyper(171,a,4847,a(flip),b,4690,a(flip))]. given #4459 (H,wt=13): 5129 (x * y) \ K(x,y) = (y * x) \ 1. [para(4671(a,1),4893(a,1,1)),flip(a)]. given #4460 (H,wt=13): 5130 (K(x,y) \ z) \ 1 = z \ K(x,y). [para(5035(a,2),4893(a,1,1))]. given #4461 (H,wt=13): 5131 (x \ 1) * K(y,z) = x \ K(y,z). [hyper(18,a,5062,a,b,4895,a),flip(a)]. given #4462 (H,wt=13): 5132 (x \ 1) \ (x \ K(y,z)) = K(y,z). [para(4895(a,1),5037(a,1,1))]. given #4463 (H,wt=13): 5145 (x * y) \ (x * T(y,z)) = K(y,z). [hyper(18,a,4562,a,b,4976,a(flip)),flip(a)]. given #4464 (H,wt=13): 5151 (x * K(y,z)) \ (x * z) = T(z,y). [hyper(18,a,4562,a,b,4987,a(flip)),flip(a)]. given #4465 (H,wt=13): 5157 (x * T(y,z)) \ (x * y) = K(z,y). [hyper(18,a,4562,a,b,5003,a(flip)),flip(a)]. given #4466 (H,wt=13): 5168 K(x,y) * (x / y) = x / T(y,x). [hyper(4141,a,5007,a),flip(a)]. given #4467 (H,wt=13): 5171 K(x,1 / (y \ x)) = K(x,y / x). [para(61(a,1),5020(a,1,2,1)),flip(a)]. given #4468 (H,wt=13): 5177 (x * K(y,z)) * y = x * T(y,z). [para(5094(a,1),14(a,1,2))]. given #4469 (H,wt=13): 5178 (x * T(y,z)) / y = x * K(y,z). [para(5094(a,1),61(a,1,2))]. given #4470 (H,wt=13): 5180 (x / T(y,z)) * K(y,z) = x / y. [para(5094(a,1),278(a,1,2)),flip(a)]. given #4471 (H,wt=13): 5183 K(x,y) = (x * y) * ((y * x) \ 1). [para(5129(a,1),14(a,1,2)),flip(a)]. given #4472 (H,wt=13): 5186 (1 / x) \ K(y,z) = x * K(y,z). [hyper(579,a,5131,a),flip(a)]. given #4473 (H,wt=13): 5187 x \ ((1 / x) \ K(y,z)) = K(y,z). [hyper(264,a,5131,a)]. given #4474 (H,wt=13): 5199 (x * y) * K(y,z) = x * T(y,z). [para(5145(a,1),14(a,1,2))]. given #4475 (H,wt=13): 5200 ((x / T(y,z)) * y) \ x = K(y,z). [para(16(a,1),5145(a,1,2))]. given #4476 (H,wt=13): 5203 (x * K(y,z)) * T(z,y) = x * z. [para(5151(a,1),14(a,1,2))]. given #4477 (H,wt=13): 5204 (x * y) / T(y,z) = x * K(z,y). [para(5151(a,1),61(a,1,2))]. given #4478 (H,wt=13): 5205 (x / y) * K(z,y) = x / T(y,z). [para(5151(a,1),278(a,1,2)),flip(a)]. given #4479 (H,wt=13): 5207 (x * T(y,z)) * K(z,y) = x * y. [para(5157(a,1),14(a,1,2))]. given #4480 (H,wt=13): 5215 (1 / x) * K(x,y) = K(x,y) / x. [hyper(72,a,4694,a,b,5177,a),flip(a)]. given #4481 (H,wt=13): 5216 (x / y) * T(y,z) = x * K(y,z). [hyper(18,a,1322,a,b,5177,a),flip(a)]. given #4482 (H,wt=13): 5227 (x / y) \ (x * K(y,z)) = T(y,z). [hyper(71,a,5178,a(flip),b,1324,a(flip))]. given #4483 (H,wt=13): 5229 (x / T(y,z)) / K(z,y) = x / y. [hyper(228,a,5063,a,b,5180,a(flip)),flip(a)]. given #4484 (H,wt=13): 5232 (1 / x) * (x * K(y,z)) = K(y,z). [para(5186(a,1),14(a,1,2))]. given #4485 (H,wt=12): 5282 L(K(x,y),z,z \ 1) = K(x,y). [hyper(3001,a,5232,a)]. given #4486 (H,wt=13): 5257 (x / T(y,z)) * y = x * K(z,y). [hyper(1351,a,5203,a)]. given #4487 (H,wt=13): 5259 (x \ y) * K(y,x) = x \ T(y,x). [hyper(18,a,4137,a,b,5203,a)]. given #4488 (H,wt=13): 5264 (x * K(y,z)) / z = x / T(z,y). [hyper(72,a,5204,a(flip),b,1319,a(flip))]. given #4489 (H,wt=13): 5267 (x / y) * K(x,y) = T(x,y) / y. [hyper(228,a,3937,a,b,5205,a)]. given #4490 (H,wt=13): 5293 K(x,y) = (x \ T(y,x)) \ (x \ y). [para(5259(a,1),5037(a,1,1)),flip(a)]. given #4491 (H,wt=14): 4744 x * y != z * x | y * K(x,y) = z. [para(4674(a,1),174(a,1,2)),flip(b)]. given #4492 (H,wt=14): 4745 (x * y) / x != z | y * K(x,y) = z. [para(4674(a,1),298(a,1,1,2)),flip(b)]. given #4493 (H,wt=14): 4794 (x * y) / x != z | K(x,y) * y = z. [para(4752(a,1),298(a,1,1,2)),flip(b)]. given #4494 (H,wt=14): 4805 (K(x,y) / y) \ 1 != z | T(y,x) = z. [para(4652(a,2),283(a,1,1)),flip(b)]. given #4495 (H,wt=14): 4807 1 / (x \ K(y,x)) != z | T(x,y) = z. [para(4653(a,1),293(a,1,2)),flip(b)]. given #4496 (H,wt=14): 4816 x * (y * z) != z * y | K(z,y) = x. [para(4671(a,1),20(a,1)),flip(a)]. given #4497 (H,wt=14): 4831 T(x,y) * K(y,T(x,y)) != z | z = x. [para(4673(a,1),298(a,1))]. given #4498 (H,wt=14): 4836 T(x * K(y * x,x),y) = R(x,y,x). [para(4673(a,1),729(a,2,1)),flip(a)]. given #4499 (H,wt=14): 4848 T(x * K(y,x),y * x) = L(x,y,x). [para(4673(a,1),4065(a,1,1))]. given #4500 (H,wt=14): 4856 (1 / x) \ K(x,y) != z | T(x,y) = z. [para(4694(a,2),284(a,1,2)),flip(b)]. given #4501 (H,wt=14): 4861 T(x,y) * (x \ 1) != z | K(x,y) = z. [para(4703(a,1),213(a,1,2)),flip(b)]. given #4502 (H,wt=14): 4938 T(x,y) \ x != z | y \ T(y,x) = z. [para(4641(a,1),4857(a,1))]. given #4503 (H,wt=14): 4941 K(x,y / x) != z | K(x,x \ y) = z. [para(4022(a,1),4887(a,1))]. given #4504 (H,wt=14): 4942 K(x,x \ (y * x)) != z | K(x,y) = z. [para(32(a,1),4888(a,1,2))]. given #4505 (H,wt=14): 4947 K(T(x,x \ 1),y) != z | K(x,y) = z. [para(3152(a,2),4935(a,1))]. given #4506 (H,wt=14): 4948 K((x \ 1) \ 1,y) != z | K(x,y) = z. [para(3153(a,1),4935(a,1))]. given #4507 (H,wt=14): 4980 K(x,y) * T(y,y * x) = L(y,x,y). [hyper(17,a,4129,a(flip),b,4675,a)]. given #4508 (H,wt=14): 4981 K(x,y) * T(y,x * y) = L(y,x,y). [hyper(17,a,4127,a(flip),b,4675,a)]. given #4509 (H,wt=14): 4982 K(x * y,x) * T(x,y) = R(x,y,x). [hyper(17,a,4041,a(flip),b,4675,a)]. given #4510 (H,wt=14): 5022 K(x,1 / y) != z | K(x,y \ 1) = z. [para(4704(a,1),4773(a,1))]. given #4511 (H,wt=14): 5024 T(x \ y,R(y / x,z,u)) = x \ y. [para(4717(a,1),4284(a,1,2,1))]. given #4512 (H,wt=14): 5045 x * (K(y,z) * u) != u | K(z,y) = x. [para(5035(a,1),84(a,1,2)),flip(b)]. given #4513 (H,wt=14): 5046 K(x,y) * (K(y,x) * z) != u | u = z. [para(5035(a,1),213(a,1,2))]. given #4514 (H,wt=14): 5047 x / (K(y,z) * x) != u | K(z,y) = u. [para(5035(a,1),293(a,1,2)),flip(b)]. given #4515 (H,wt=14): 5058 K(x,y) * z != u | K(y,x) \ z = u. [para(5036(a,1),215(a,1,1)),flip(b)]. given #4516 (H,wt=14): 5064 x * K(y,z) != u | u * K(z,y) = x. [para(5037(a,1),84(a,1,2)),flip(b)]. given #4517 (H,wt=14): 5065 (x * K(y,z)) * K(z,y) != u | u = x. [para(5037(a,1),213(a,1,2))]. given #4518 (H,wt=14): 5067 x / K(y,z) != u | x * K(z,y) = u. [para(5037(a,1),293(a,1,2)),flip(b)]. given #4519 (H,wt=12): 5312 T(x,y) != z | x * K(x,y) = z. [para(4658(a,2),5067(a,1))]. given #4520 (H,wt=14): 5071 K(x,y) * z != u | K(y,x) * u = z. [para(5040(a,1),79(a,1,1)),flip(b)]. given #4521 (H,wt=14): 5072 K(x,y) \ z != u | K(y,x) * z = u. [para(5040(a,1),283(a,1,1)),flip(b)]. given #4522 (H,wt=14): 5085 (x * K(y,z)) \ x != u | K(z,y) = u. [para(5062(a,1),284(a,1,2)),flip(b)]. given #4523 (H,wt=14): 5102 T(1 / x,R(x,y,z) \ x) = 1 / x. [para(3525(a,1),4754(a,1,1,1))]. given #4524 (H,wt=14): 5105 T(x,T(y,T(x,z))) != u | T(x,y) = u. [para(4765(a,2),4708(a,1))]. given #4525 (H,wt=14): 5298 K(x \ 1,y) != z | K(1 / x,y) = z. [para(583(a,1),4947(a,1,1))]. given #4526 (H,wt=14): 5301 T(x,x * y) * K(y,x) = L(x,y,x). [hyper(2508,a,4980,a)]. given #4527 (H,wt=14): 5302 K(x,y) = T(y,y * x) \ L(y,x,y). [hyper(71,a,4980,a(flip),b,2504,a),flip(a)]. given #4528 (H,wt=14): 5303 T(x,y) * K(x * y,x) = R(x,y,x). [hyper(2508,a,4982,a)]. given #4529 (H,wt=14): 5306 x * K(y,z) != u | x / K(z,y) = u. [para(16(a,1),5065(a,1,1)),flip(b)]. given #4530 (H,wt=15): 4639 (((x \ y) * x) \ y) \ y = (x \ y) * x. [hyper(651,a,4637,a)]. given #4531 (H,wt=15): 4648 (x * T(x \ 1,y)) \ 1 = K(y,x \ 1). [hyper(228,a,118,a,b,4641,a),flip(a)]. given #4532 (H,wt=15): 4663 K((1 / x) \ y,y) = T(y,y * x) \ y. [para(1714(a,1),4641(a,2,1))]. given #4533 (H,wt=13): 5328 K((1 / x) \ y,y) = K(y * x,y). [hyper(228,a,4641,a,b,4663,a)]. given #4534 (H,wt=13): 5330 K(x * (y \ 1),x) = K(y \ x,x). [para(61(a,1),5328(a,1,1,1)),flip(a)]. given #4535 (H,wt=15): 4670 x * (((y * x) / y) \ z) = K(x,y) * z. [para(4641(a,2),3828(a,2,1))]. given #4536 (H,wt=15): 4672 ((x * y) / x) \ x = y \ (x * K(y,x)). [para(4641(a,2),3829(a,1,2,2)),flip(a)]. given #4537 (H,wt=15): 4677 K(x / y,z) * x = y * T(y \ x,z). [para(4641(a,2),3918(a,1,1))]. given #4538 (H,wt=15): 4682 x * T(x \ y,y) = y * K(y / x,y). [para(4641(a,2),4208(a,2,2))]. given #4539 (H,wt=15): 4686 K(x * K(y,y \ 1),z) = z / T(z,x). [para(4329(a,1),4645(a,2,2))]. given #4540 (H,wt=13): 5340 K(x * K(y,y \ 1),z) = K(x,z). [hyper(228,a,4645,a,b,4686,a)]. given #4541 (H,wt=13): 5341 K(x * K(y \ 1,y),z) = K(x,z). [para(1845(a,1),5340(a,1,1,2))]. given #4542 (H,wt=13): 5344 K(K(x \ 1,x) * y,z) = K(y,z). [para(2908(a,1),5340(a,1,1)),flip(a)]. given #4543 (H,wt=15): 4692 x * ((y * (x \ 1)) / y) = K(y,x \ 1). [hyper(228,a,3569,a,b,4649,a),flip(a)]. given #4544 (H,wt=15): 4695 K(x,y) = (1 / x) * T((1 / x) \ 1,y). [hyper(228,a,2557,a,b,4649,a)]. given #4545 (H,wt=15): 4702 x \ K(y,x \ 1) = (y * (x \ 1)) / y. [hyper(71,a,4649,a,b,3569,a)]. given #4546 (H,wt=15): 4711 K(x,x * (y \ 1)) = x \ T(x,y \ x). [para(1713(a,1),4649(a,2,2))]. given #4547 (H,wt=13): 5371 K(x,x * (y \ 1)) = K(x,y \ x). [hyper(228,a,4649,a,b,4711,a)]. given #4548 (H,wt=15): 4727 K(x,y * K(z,z \ 1)) = x \ T(x,y). [para(4329(a,1),4649(a,2,2))]. given #4549 (H,wt=13): 5372 K(x,y * K(z,z \ 1)) = K(x,y). [hyper(228,a,4649,a,b,4727,a)]. given #4550 (H,wt=13): 5373 K(x,y * K(z,1 / z)) = K(x,y). [para(1839(a,2),5372(a,1,2,2))]. given #4551 (H,wt=13): 5374 K(x,K(y,y \ 1) * z) = K(x,z). [para(2341(a,2),5372(a,1,2))]. given #4552 (H,wt=13): 5378 K(x,K(y \ 1,y) * z) = K(x,z). [para(2908(a,1),5372(a,1,2)),flip(a)]. given #4553 (H,wt=13): 5386 K(x,K(y,1 / y) * z) = K(x,z). [para(2351(a,2),5373(a,1,2))]. given #4554 (H,wt=15): 4746 T(x * K(y,x),z) * y = y * T(x,z). [para(4674(a,1),182(a,1,2,1)),flip(a)]. given #4555 (H,wt=14): 5397 T(x * K(x * y,x),y) = R(x,y,x). [hyper(18,a,3983,a,b,4746,a)]. given #4556 (H,wt=15): 4747 T(x * K(y,x),z) = (y * T(x,z)) / y. [para(4674(a,1),203(a,1,1,2,1)),flip(a)]. given #4557 (H,wt=12): 5405 T(x * K(y,x),y) != z | z = x. [para(4747(a,2),298(a,1))]. given #4558 (H,wt=14): 5408 T(x / (x / y),y \ x) != z | z = y. [para(4621(a,2),5405(a,1,1))]. given #4559 (H,wt=15): 4766 T(x,((y \ z) / z) \ 1) = x * K(x,y). [hyper(228,a,4110,a,b,4705,a(flip)),flip(a)]. given #4560 (H,wt=13): 5409 K(x,((y \ z) / z) \ 1) = K(x,y). [hyper(4771,a,4766,a)]. given #4561 (H,wt=13): 5410 K(x,(y / z) \ 1) = K(x,z / y). [para(64(a,1),5409(a,1,2,1,1))]. given #4562 (H,wt=13): 5412 K(x,1 / (y / z)) = K(x,z / y). [hyper(228,a,3240,a,b,5410,a(flip)),flip(a)]. given #4563 (H,wt=13): 5413 K(x,y / (z * y)) = K(x,z \ 1). [para(15(a,1),5410(a,1,2,1)),flip(a)]. given #4564 (H,wt=13): 5415 K(x,y * (z \ 1)) = K(x,y / z). [para(120(a,1),5410(a,1,2))]. given #4565 (H,wt=13): 5416 K(x,y / (z * y)) = K(x,1 / z). [para(15(a,1),5412(a,1,2,2)),flip(a)]. given #4566 (H,wt=13): 5421 K(x,y / (1 / z)) = K(x,y * z). [para(64(a,1),5415(a,1,2,2)),flip(a)]. given #4567 (H,wt=15): 4770 T(x,y) * K(T(x,y),z) = T(T(x,z),y). [hyper(228,a,38,a,b,4705,a(flip))]. given #4568 (H,wt=14): 5427 T(T(x,y),z) != u | T(T(x,z),y) = u. [para(4770(a,1),4708(a,1))]. given #4569 (H,wt=15): 4777 (1 / x) * K(x \ 1,y) = T(1 / x,y). [para(2853(a,1),4705(a,2,2)),flip(a)]. given #4570 (H,wt=15): 4782 K(T(x,y),z) * T(x,y) = T(T(x,z),y). [hyper(228,a,38,a,b,4712,a(flip))]. given #4571 (H,wt=15): 4804 x * (K(y,z) / z) = x * (1 / T(z,y)). [hyper(21,a,4652,a)]. given #4572 (H,wt=15): 4808 (x \ K(y,x)) \ 1 = T(T(x,x \ 1),y). [para(4653(a,1),2318(a,2,1)),flip(a)]. given #4573 (H,wt=15): 4825 x \ K(y,1 / x) = (y * (x \ 1)) / y. [hyper(228,a,3251,a(flip),b,4673,a),flip(a)]. given #4574 (H,wt=15): 4828 x * ((y * z) / y) = x * (z * K(y,z)). [hyper(21,a,4673,a)]. given #4575 (H,wt=15): 4860 T(x,y * x) * (x \ 1) = K(x,x * y). [para(4066(a,2),4697(a,2,1)),flip(a)]. given #4576 (H,wt=11): 5433 K(x,y * x) = K(x,x * y). [hyper(4861,a,4860,a)]. given #4577 (H,wt=11): 5435 K(x,x * (y / x)) = K(x,y). [para(16(a,1),5433(a,1,2)),flip(a)]. given #4578 (H,wt=14): 5434 K(x,x * y) != z | K(x,y * x) = z. [para(4860(a,1),4861(a,1))]. given #4579 (H,wt=15): 4873 K(x,L(T(y,x),z,u)) = K(x,L(y,z,u)). [para(40(a,2),4871(a,1,2))]. given #4580 (H,wt=15): 4883 K((x \ y) \ y,x \ y) = K(x,x \ y). [para(114(a,1),4878(a,1,1))]. given #4581 (H,wt=15): 4885 K(x / (x / y),y \ x) = K(y,y \ x). [para(3909(a,1),4878(a,1,1)),flip(a)]. given #4582 (H,wt=15): 4890 (T(x,y) * y) / T(x,y) = y * K(x,y). [para(4878(a,1),4673(a,2,2))]. given #4583 (H,wt=15): 4907 T(K(x,y),z) * K(y,x) = K(K(x,y),z). [para(4879(a,1),4697(a,2,2)),flip(a)]. given #4584 (H,wt=15): 4978 ((x * y) / x) \ z = K(y,x) * (y \ z). [hyper(17,a,4008,a,b,4675,a),flip(a)]. given #4585 (H,wt=15): 4979 K(x,y) * (z * x) = T(x,y) * T(z,x). [hyper(17,a,1062,a,b,4675,a)]. given #4586 (H,wt=15): 4991 x * (K(x,y) * (x \ z)) = K(x,y) * z. [hyper(228,a,4675,a,b,4676,a(flip)),flip(a)]. given #4587 (H,wt=15): 4992 ((x * y) / x) \ (y * z) = K(y,x) * z. [hyper(228,a,4090,a,b,4676,a(flip)),flip(a)]. given #4588 (H,wt=15): 4996 x \ (K(x,y) * z) = K(x,y) * (x \ z). [hyper(71,a,4676,a(flip),b,4675,a)]. given #4589 (H,wt=15): 5002 K(x,y) * T(x,z) = T(x,y) * K(x,z). [para(4649(a,2),4676(a,1,2)),flip(a)]. given #4590 (H,wt=15): 5041 K(x,y) * (z * K(y,x)) = T(z,K(y,x)). [hyper(366,a,5035,a),flip(a)]. given #4591 (H,wt=15): 5048 1 / (K(x,y) * z) = (1 / z) * K(y,x). [para(5035(a,1),326(a,1,2))]. given #4592 (H,wt=15): 5066 (x / y) * y = (x * K(z,u)) * K(u,z). [para(5037(a,1),216(a,2,2))]. given #4593 (H,wt=15): 5070 ((x * K(y,z)) \ x) \ u = K(y,z) * u. [para(5037(a,2),5035(a,1,1))]. given #4594 (H,wt=15): 5075 K(x,y) * (K(x,z) * K(y,x)) = K(x,z). [hyper(17,a,1757,a(flip),b,5042,a)]. given #4595 (H,wt=15): 5079 T(x * K(y,z),K(z,y)) = K(y,z) * x. [hyper(171,a,5062,a,b,5042,a)]. given #4596 (H,wt=15): 5080 T(x * K(y,z),K(z,y)) = K(z,y) \ x. [hyper(171,a,5062,a,b,14,a)]. given #4597 (H,wt=15): 5082 (K(x,y) * K(y,z)) * K(y,x) = K(y,z). [hyper(18,a,1757,a,b,5062,a)]. given #4598 (H,wt=15): 5100 (x \ (x / y)) * T(x,y \ 1) = x / y. [para(4740(a,1),168(a,1,2))]. given #4599 (H,wt=15): 5112 T(x,y \ K(y,z)) = T(x,z / (z * y)). [para(4798(a,1),4109(a,1,2))]. given #4600 (H,wt=15): 5120 (x * (y / x)) \ x = y \ (y / (y / x)). [para(4829(a,2),1399(a,1,2)),flip(a)]. given #4601 (H,wt=15): 5127 (x \ K(x,y)) \ 1 = (x \ 1) \ K(y,x). [para(2695(a,1),4893(a,1,1))]. given #4602 (H,wt=15): 5128 ((x \ y) * x) \ 1 = y \ K(x,x \ y). [para(4623(a,1),4893(a,1,1))]. given #4603 (H,wt=15): 5144 T(1 / x,y) \ 1 = x * K(y,x \ 1). [para(4953(a,1),4896(a,1,1))]. given #4604 (H,wt=15): 5155 (x * T(x \ y,z)) \ y = K(z,x \ y). [hyper(4563,a,5003,a)]. given #4605 (H,wt=15): 5159 T(x,y) \ (z * x) = K(y,x) * T(z,x). [para(113(a,1),5003(a,1,2))]. given #4606 (H,wt=15): 5163 T(x,y) \ T(x,z) = K(y,x) * K(x,z). [para(4705(a,2),5003(a,1,2))]. given #4607 (H,wt=15): 5164 K(x,y) * (y * z) = y * (K(x,y) * z). [para(5003(a,1),4680(a,1,2)),flip(a)]. given #4608 (H,wt=15): 5167 x * (K(y,x) * (x \ z)) = K(y,x) * z. [para(5004(a,2),4680(a,1,2))]. given #4609 (H,wt=15): 5169 K(x,y / z) * (z * T(z \ y,x)) = y. [hyper(1118,a,5007,a)]. given #4610 (H,wt=15): 5170 T(x,y) / (K(z,x) * K(x,y)) = T(x,z). [hyper(72,a,4705,a,b,5007,a)]. given #4611 (H,wt=15): 5194 K(x,y) / (z \ 1) = 1 / (z \ K(y,x)). [para(5131(a,1),4898(a,1,2)),flip(a)]. given #4612 (H,wt=15): 5198 x \ (y * T(y \ x,z)) = K(y \ x,z). [hyper(294,a,5145,a)]. given #4613 (H,wt=15): 5213 x * T(y * K(x,z),x) = y * T(x,z). [hyper(220,a,5177,a)]. given #4614 (H,wt=15): 5214 x \ (y * T(x,z)) = T(y * K(x,z),x). [hyper(171,a,5177,a,b,14,a),flip(a)]. given #4615 (H,wt=15): 5217 (x * y) * K(T(x,y),z) = T(x,z) * y. [hyper(18,a,1257,a,b,5177,a)]. given #4616 (H,wt=15): 5225 (T(x,y) \ 1) * y = (x \ 1) * T(y,x). [para(4664(a,1),5177(a,1,1))]. given #4617 (H,wt=15): 5238 1 / ((1 / x) \ K(y,z)) = K(z,y) / x. [para(5186(a,2),4898(a,1,2))]. given #4618 (H,wt=15): 5241 x * T(x \ y,z) = y * K(x \ y,z). [hyper(542,a,5199,a),flip(a)]. given #4619 (H,wt=11): 5497 K(x / y,x) = K(y \ x,x). [hyper(17,a,4682,a(flip),b,5241,a(flip)),flip(a)]. given #4620 (H,wt=11): 5501 K((x \ y) \ y,y) = K(x,y). [para(61(a,1),5497(a,1,1)),flip(a)]. given #4621 (H,wt=13): 5495 T(K(x / y,z),x) = K(y \ x,z). [hyper(171,a,4677,a,b,5241,a(flip))]. given #4622 (H,wt=13): 5502 K((x \ y) \ y,z) = T(K(x,z),y). [para(61(a,1),5495(a,1,1,1)),flip(a)]. given #4623 (H,wt=15): 5242 (x * K(y,z)) * y = (x * y) * K(y,z). [hyper(228,a,5177,a,b,5199,a),flip(a)]. given #4624 (H,wt=15): 5245 (x * K(y,z)) \ ((x * y) * K(y,z)) = y. [hyper(71,a,5199,a,b,5177,a)]. given #4625 (H,wt=15): 5256 (x * y) * K(y,z) = x * (y * K(y,z)). [para(4705(a,1),5199(a,2,2))]. given #4626 (H,wt=8): 5506 R(x,y,K(y,z)) = x. [hyper(476,a,5256,a)]. given #4627 (H,wt=10): 5507 L(K(x,y),x,z) = K(x,y). [hyper(445,a,5256,a)]. given #4628 (H,wt=12): 5512 L(K(x,y),x,z) = K(y,x) \ 1. [hyper(228,a,4879,a,b,5507,a)]. given #4629 (H,wt=13): 5513 L(K(x,y),x,z) != u | K(x,y) = u. [para(5512(a,2),4887(a,1))]. given #4630 (H,wt=15): 5258 x / T(y \ x,z) = y * K(z,y \ x). [hyper(72,a,14,a(flip),b,5203,a)]. given #4631 (H,wt=15): 5263 (x * T(y,z)) * T(z,y) = (x * y) * z. [para(5199(a,1),5203(a,1,1))]. given #4632 (H,wt=15): 5273 K(x,y) / (z * T(x,y)) = 1 / (z * x). [para(5207(a,1),4898(a,1,2)),flip(a)]. given #4633 (H,wt=15): 5277 ((x / y) * K(y,z)) \ (x * K(y,z)) = y. [hyper(71,a,5216,a(flip),b,5177,a)]. given #4634 (H,wt=15): 5284 K(x,y) != z | L(K(x,y),u,u \ 1) = z. [para(5232(a,1),3001(a,1))]. given #4635 (H,wt=15): 5285 (1 / x) * (y * (x / y)) = K(y,y \ x). [para(4915(a,1),5232(a,1,2))]. given #4636 (H,wt=15): 5287 x \ (y * K(z,x)) = T(y / T(x,z),x). [hyper(171,a,5257,a,b,14,a),flip(a)]. given #4637 (H,wt=15): 5292 x \ T(x * y,x) = y * K(x * y,x). [para(13(a,1),5259(a,1,1)),flip(a)]. given #4638 (H,wt=15): 5332 K(x,y) * (((y * x) / y) * z) = x * z. [para(13(a,1),4670(a,1,2)),flip(a)]. given #4639 (H,wt=15): 5335 (x * K(y,x)) \ y = x \ (y * K(x,y)). [para(4673(a,1),4672(a,1,1))]. given #4640 (H,wt=15): 5338 x / (y * T(y \ x,z)) = K(z,x / y). [para(4677(a,1),5040(a,1,2))]. given #4641 (H,wt=15): 5342 K(x * (1 / (1 / y)),z) = K(x * y,z). [para(2824(a,1),5340(a,1,1)),flip(a)]. given #4642 (H,wt=15): 5343 K(x * ((y \ 1) \ 1),z) = K(x * y,z). [para(2894(a,1),5340(a,1,1))]. given #4643 (H,wt=15): 5345 K(x * (1 / y),z) = K(x * (y \ 1),z). [para(2920(a,1),5340(a,1,1))]. given #4644 (H,wt=15): 5346 K(x / (1 / y),z) = K(x / (y \ 1),z). [para(2921(a,1),5340(a,1,1)),flip(a)]. given #4645 (H,wt=15): 5347 K(((x \ 1) \ 1) * y,z) = K(x * y,z). [para(3003(a,1),5340(a,1,1))]. given #4646 (H,wt=15): 5349 K((1 / x) * y,z) = K((x \ 1) * y,z). [para(3026(a,1),5340(a,1,1))]. given #4647 (H,wt=15): 5352 K(x \ K(y \ 1,y),z) = K(x \ 1,z). [para(4895(a,1),5340(a,1,1)),flip(a)]. given #4648 (H,wt=15): 5353 K((1 / (1 / x)) * y,z) = K(x * y,z). [para(3037(a,1),5341(a,1,1))]. given #4649 (H,wt=15): 5354 K((1 / (1 / x)) * (x \ y),z) = K(y,z). [para(3070(a,2),5341(a,1,1))]. given #4650 (H,wt=15): 5356 K(x \ (1 / y),z) = K(x \ (y \ 1),z). [para(4402(a,1),5341(a,1,1)),flip(a)]. given #4651 (H,wt=15): 5375 K(x,y / (1 / (1 / z))) = K(x,y / z). [para(2828(a,1),5372(a,1,2))]. given #4652 (H,wt=13): 5532 K(x,y * (1 / z)) = K(x,y / z). [hyper(228,a,5421,a(flip),b,5375,a(flip)),flip(a)]. given #4653 (H,wt=13): 5533 K(x,y * (1 / x)) = K(x,x \ y). [hyper(228,a,4874,a(flip),b,5532,a)]. given #4654 (H,wt=13): 5534 K(x,y / (z \ 1)) = K(x,y * z). [para(61(a,1),5532(a,1,2,2)),flip(a)]. given #4655 (H,wt=13): 5539 K(x,(y \ 1) \ x) = K(x,x * y). [hyper(228,a,5108,a(flip),b,5534,a(flip)),flip(a)]. given #4656 (H,wt=13): 5540 K(x,(1 / y) \ z) = K(x,y * z). [para(317(a,1),5534(a,1,2))]. given #4657 (H,wt=13): 5541 K(x,(y \ 1) \ x) = K(x,y * x). [hyper(228,a,5433,a,b,5539,a)]. given #4658 (H,wt=13): 5543 K(x,(y \ 1) * z) = K(x,y \ z). [para(61(a,1),5540(a,1,2,1)),flip(a)]. given #4659 (H,wt=15): 5376 K(x,y * ((z \ 1) \ 1)) = K(x,y * z). [para(2894(a,1),5372(a,1,2))]. given #4660 (H,wt=15): 5377 K(x,y * T(z,z \ 1)) = K(x,y * z). [para(2895(a,1),5372(a,1,2))]. given #4661 (H,wt=15): 5379 K(x,y * (1 / z)) = K(x,y * (z \ 1)). [para(2920(a,1),5372(a,1,2))]. given #4662 (H,wt=15): 5381 K(x,((y \ 1) \ 1) * z) = K(x,y * z). [para(3003(a,1),5372(a,1,2))]. given #4663 (H,wt=13): 5548 K(x,(y \ 1) \ z) = K(x,y * z). [hyper(228,a,5543,a(flip),b,5381,a(flip)),flip(a)]. given #4664 (H,wt=13): 5551 K(x,(1 / y) * z) = K(x,y \ z). [para(64(a,1),5548(a,1,2,1)),flip(a)]. given #4665 (H,wt=13): 5555 K(x,1 / (y \ z)) = K(x,z \ y). [para(326(a,2),5551(a,1,2))]. given #4666 (H,wt=13): 5558 K(x,(y \ z) \ 1) = K(x,z \ y). [hyper(5022,a,5555,a)]. given #4667 (H,wt=13): 5562 K(x,(y * z) \ y) = K(x,z \ 1). [para(13(a,1),5558(a,1,2,1)),flip(a)]. given #4668 (H,wt=13): 5563 K(x,((y * z) \ y) \ 1) = K(x,z). [para(13(a,1),5558(a,2,2))]. given #4669 (H,wt=15): 5382 K(x,((y \ 1) \ 1) \ z) = K(x,y \ z). [para(3016(a,1),5372(a,1,2)),flip(a)]. given #4670 (H,wt=15): 5383 K(x,(1 / y) \ z) = K(x,(y \ 1) \ z). [para(3020(a,1),5372(a,1,2)),flip(a)]. given #4671 (H,wt=15): 5384 K(x,(1 / y) * z) = K(x,(y \ 1) * z). [para(3026(a,1),5372(a,1,2))]. given #4672 (H,wt=15): 5388 K(x,y \ (1 / z)) = K(x,y \ (z \ 1)). [para(4403(a,1),5374(a,1,2))]. given #4673 (H,wt=15): 5395 K(x,K(y,1 / y) / z) = K(x,1 / z). [para(3440(a,1),5386(a,1,2))]. given #4674 (H,wt=15): 5399 T((x * y) / x,z) = T(y * K(x,y),z). [hyper(18,a,410,a,b,4746,a),flip(a)]. given #4675 (H,wt=15): 5411 K(x,(y / z) \ 1) = K(x,z / y) * 1. [hyper(228,a,12,a,b,5410,a)]. given #4676 (H,wt=15): 5437 K(x,T(y * x,z)) = K(x,T(x * y,z)). [para(4461(a,1),5435(a,1,2)),flip(a)]. given #4677 (H,wt=15): 5449 (x * K(y,x)) \ z = K(x,y) * (x \ z). [para(4673(a,1),4978(a,1,1))]. given #4678 (H,wt=15): 5458 K(x,y) * T(x,z) = K(x,z) * T(x,y). [hyper(228,a,3157,a(flip),b,5002,a)]. given #4679 (H,wt=15): 5464 x * ((y * (x / y)) \ y) = x / (x / y). [para(5120(a,2),14(a,1,2))]. given #4680 (H,wt=15): 5465 x * (y \ K(x,x \ y)) = (x \ y) \ 1. [para(5128(a,1),47(a,1,2))]. given #4681 (H,wt=15): 5471 T(x,y) \ T(x,z) = K(x,z) * K(y,x). [hyper(228,a,1757,a,b,5163,a)]. given #4682 (H,wt=15): 5493 K(x \ (x / y),z) = y * T(y \ 1,z). [hyper(1121,a,5241,a(flip)),flip(a)]. given #4683 (H,wt=13): 5587 K(x \ (x / y),z) = K(y \ 1,z). [hyper(228,a,4650,a(flip),b,5493,a)]. given #4684 (H,wt=13): 5600 K((x * y) \ x,z) = K(y \ 1,z). [para(15(a,1),5587(a,1,1,2))]. given #4685 (H,wt=13): 5601 K((x \ y) \ 1,z) = K(y \ x,z). [para(61(a,1),5587(a,1,1,2)),flip(a)]. given #4686 (H,wt=13): 5609 K((x \ y) / y,z) = K(x \ 1,z). [para(330(a,1),5600(a,1,1))]. given #4687 (H,wt=13): 5610 K(1 / (x \ y),z) = K(y \ x,z). [hyper(5298,a,5601,a)]. given #4688 (H,wt=13): 5613 K(((x * y) \ x) \ 1,z) = K(y,z). [hyper(228,a,644,a(flip),b,5601,a)]. given #4689 (H,wt=13): 5617 K(x \ (y \ x),x) = K(y \ 1,x). [hyper(228,a,4882,a(flip),b,5609,a(flip)),flip(a)]. given #4690 (H,wt=13): 5618 K(x / (y * x),z) = K(y \ 1,z). [para(13(a,1),5609(a,1,1,1))]. given #4691 (H,wt=13): 5619 K((x / y) \ 1,z) = K(y / x,z). [para(64(a,1),5609(a,1,1,1)),flip(a)]. given #4692 (H,wt=13): 5621 K((1 / x) * y,z) = K(x \ y,z). [para(326(a,1),5610(a,1,1))]. given #4693 (H,wt=13): 5628 K((x / y) \ 1,x) = K(x \ y,x). [para(64(a,1),5617(a,1,1,2)),flip(a)]. given #4694 (H,wt=13): 5629 K(x / (y * x),z) = K(1 / y,z). [hyper(228,a,2853,a,b,5618,a)]. given #4695 (H,wt=13): 5631 K(1 / (x / y),z) = K(y / x,z). [hyper(5298,a,5619,a)]. given #4696 (H,wt=13): 5633 K(x * (y \ 1),z) = K(x / y,z). [para(120(a,1),5619(a,1,1))]. given #4697 (H,wt=13): 5634 K((1 / x) \ y,z) = K(x * y,z). [hyper(228,a,5353,a(flip),b,5621,a(flip))]. given #4698 (H,wt=11): 5647 K(x * y,y) = K(y * x,y). [hyper(228,a,5328,a(flip),b,5634,a(flip))]. given #4699 (H,wt=13): 5635 K((x \ 1) * y,z) = K(x \ y,z). [hyper(228,a,5349,a(flip),b,5621,a(flip)),flip(a)]. given #4700 (H,wt=13): 5637 K((x \ 1) \ y,z) = K(x * y,z). [para(61(a,1),5621(a,1,1,1)),flip(a)]. given #4701 (H,wt=13): 5639 K(x * (y \ 1),y) = K(y \ x,y). [para(120(a,1),5628(a,1,1))]. given #4702 (H,wt=13): 5642 K(x * (1 / y),z) = K(x / y,z). [hyper(228,a,5345,a,b,5633,a(flip)),flip(a)]. given #4703 (H,wt=13): 5644 K(x / (1 / y),z) = K(x * y,z). [para(64(a,1),5633(a,1,1,2)),flip(a)]. given #4704 (H,wt=13): 5648 T(x * K(x * y,x),y * x) = x. [para(5647(a,1),4674(a,1,1,2))]. given #4705 (H,wt=13): 5652 K(x * (1 / y),y) = K(y \ x,y). [hyper(228,a,5345,a,b,5639,a(flip)),flip(a)]. given #4706 (H,wt=14): 5608 K(L(x \ 1,x,y),z) = K(x \ 1,z). [para(161(a,2),5600(a,1,1))]. given #4707 (H,wt=14): 5657 K(L(x \ 1,x,y),z) = K(1 / x,z). [hyper(228,a,2853,a,b,5608,a)]. given #4708 (H,wt=14): 5658 K(L(1 / x,x,y),z) = K(1 / x,z). [hyper(228,a,2860,a,b,5657,a(flip)),flip(a)]. given #4709 (H,wt=15): 5494 K(x / y,z) * x = x * K(y \ x,z). [hyper(228,a,4677,a,b,5241,a(flip)),flip(a)]. given #4710 (H,wt=15): 5522 x * (y * K(x * y,x)) = T(x * y,x). [para(5292(a,1),14(a,1,2))]. given #4711 (H,wt=15): 5523 K(x,y) * (y * z) = ((x * y) / x) * z. [hyper(5071,a,5332,a)]. given #4712 (H,wt=15): 5531 K(x \ ((y \ 1) * y),z) = K(x \ 1,z). [para(189(a,1),5352(a,1,1,2))]. given #4713 (H,wt=15): 5535 T(x,y * (1 / z)) = x * K(x,y / z). [para(5532(a,1),4705(a,2,2))]. given #4714 (H,wt=13): 5666 T(x,y * (1 / z)) = T(x,y / z). [hyper(228,a,4705,a,b,5535,a)]. given #4715 (H,wt=13): 5667 T(x,y / (1 / z)) = T(x,y * z). [hyper(228,a,4341,a(flip),b,5666,a(flip))]. given #4716 (H,wt=15): 5538 K(x,((y \ 1) / z) \ 1) = K(x,z * y). [hyper(228,a,5410,a,b,5534,a(flip)),flip(a)]. given #4717 (H,wt=15): 5557 K(x,(1 / x) * y) * y = x * (y / x). [para(5551(a,2),4723(a,1,1))]. given #4718 (H,wt=15): 5561 K(x,(y \ z) \ 1) = K(z \ y,x) \ 1. [hyper(228,a,4879,a,b,5558,a)]. given #4719 (H,wt=15): 5580 x / (K(y,z) * (y \ x)) = y * K(z,y). [para(5449(a,1),61(a,1,2))]. given #4720 (H,wt=15): 5582 K(x,y) * (K(y,z) * T(y,x)) = T(y,z). [hyper(5071,a,5458,a)]. given #4721 (H,wt=15): 5585 K(x \ (x / y),z) = T(z,y \ 1) \ z. [hyper(228,a,3891,a,b,5493,a)]. given #4722 (H,wt=15): 5602 K(T(x,y) \ 1,z) = K((x * y) \ y,z). [para(137(a,1),5587(a,1,1,2)),flip(a)]. given #4723 (H,wt=15): 5611 T(K(x / y,z),x) = K((x \ y) \ 1,z). [hyper(228,a,5495,a,b,5601,a),flip(a)]. given #4724 (H,wt=15): 5615 T(x,(y \ z) \ 1) = K(z \ y,x) \ x. [para(5601(a,1),4666(a,2,1))]. given #4725 (H,wt=13): 5675 T(x,(y \ z) \ 1) = T(x,z \ y). [hyper(228,a,4666,a,b,5615,a)]. given #4726 (H,wt=13): 5678 T(x,1 / (y \ z)) = T(x,z \ y). [hyper(228,a,3102,a,b,5675,a(flip)),flip(a)]. given #4727 (H,wt=13): 5679 T(x,(y * z) \ y) = T(x,z \ 1). [para(13(a,1),5675(a,1,2,1)),flip(a)]. given #4728 (H,wt=13): 5680 T(x,((y * z) \ y) \ 1) = T(x,z). [para(13(a,1),5675(a,2,2))]. given #4729 (H,wt=13): 5686 T(x,y \ (y / z)) = T(x,1 / z). [para(64(a,1),5678(a,1,2,2)),flip(a)]. given #4730 (H,wt=13): 5692 T(x,(x / y) / x) = T(x,1 / y). [hyper(4001,a,5686,a)]. given #4731 (H,wt=15): 5653 K(x \ (y \ 1),y) = K(y \ (x \ 1),y). [hyper(228,a,5635,a(flip),b,5639,a(flip)),flip(a)]. given #4732 (H,wt=15): 5656 K((1 / x) * y,x) = K(y * (1 / x),x). [hyper(228,a,5621,a,b,5652,a),flip(a)]. given #4733 (H,wt=15): 5662 ((x * y) / x) * (y \ z) = K(x,y) * z. [hyper(302,a,5523,a),flip(a)]. given #4734 (H,wt=15): 5663 ((x * y) / x) * z = y * (K(x,y) * z). [hyper(228,a,5164,a(flip),b,5523,a(flip))]. given #4735 (H,wt=15): 5665 (K(x,y) * y) * z = K(x,y) * (y * z). [para(4716(a,1),5523(a,2,1)),flip(a)]. given #4736 (H,wt=10): 5702 R(K(x,y),y,z) = K(x,y). [hyper(4535,a,5665,a)]. given #4737 (H,wt=15): 5685 T(x,x \ y) / (y \ x) = x * (y / x). [para(5675(a,1),3622(a,1,1))]. given #4738 (H,wt=15): 5693 K(x \ ((x \ y) \ 1),x) = K(y \ 1,x). [para(249(a,1),5653(a,1,1)),flip(a)]. given #4739 (H,wt=15): 5701 (x * K(y,x)) * z = x * (K(y,x) * z). [para(4673(a,1),5663(a,1,1))]. given #4740 (H,wt=8): 5706 R(x,K(y,x),z) = x. [hyper(4535,a,5701,a)]. given #4741 (H,wt=15): 5704 T(x,y / x) / (y \ x) = x * (y / x). [para(3944(a,2),5685(a,1,1))]. given #4742 (H,wt=16): 4632 T(x * K(x \ y,x),y) = L(x,x \ y,x). [para(4621(a,1),4009(a,1,1))]. given #4743 (H,wt=16): 4678 K(x \ 1,y) != z | x * T(x \ 1,y) = z. [para(4641(a,2),3898(a,1))]. given #4744 (H,wt=16): 4683 K(x,y) * z != u | y * (T(y,x) \ z) = u. [para(4641(a,2),4204(a,1,1))]. given #4745 (H,wt=16): 4709 x * K(x,y) != z * u | T(x,y) / u = z. [para(4649(a,2),276(a,1,2))]. given #4746 (H,wt=16): 4724 K(x,y) \ (x \ z) != u | T(x,y) \ z = u. [para(4649(a,2),3803(a,1,1))]. given #4747 (H,wt=16): 4725 K(x,y) \ z != u | x * (T(x,y) \ z) = u. [para(4649(a,2),3845(a,1,1))]. given #4748 (H,wt=16): 4732 T(x,y) \ x != z * u | z \ K(y,x) = u. [para(4655(a,1),301(a,1,2))]. given #4749 (H,wt=16): 4733 T(x,y) \ x != z * u | K(y,x) / u = z. [para(4655(a,1),438(a,1,2))]. given #4750 (H,wt=16): 4760 K(x,y) * x != z * u | T(x,y) / u = z. [para(4696(a,2),376(a,1,1))]. given #4751 (H,wt=16): 4774 x \ T(x,y) != z * u | z \ K(x,y) = u. [para(4705(a,2),301(a,1,2))]. given #4752 (H,wt=16): 4826 (x * y) \ ((x * y) / x) = L(x \ 1,x,y). [hyper(71,a,4673,a,b,1400,a)]. given #4753 (H,wt=15): 5713 L(x \ 1,T(x,y),y) = L(x \ 1,x,y). [hyper(228,a,3572,a(flip),b,4826,a(flip)),flip(a)]. given #4754 (H,wt=16): 4884 K(R(x,y,x),y * x) = K(T(x,y),y * x). [para(736(a,1),4878(a,1,1)),flip(a)]. given #4755 (H,wt=16): 4899 K(x,y) * K(y,x) != z * u | 1 / u = z. [para(4879(a,1),276(a,1,2))]. given #4756 (H,wt=16): 4900 x \ K(y,z) != u | (K(z,y) * x) \ 1 = u. [para(4879(a,1),288(a,1,2))]. given #4757 (H,wt=16): 4909 K(x,y) \ 1 != z * u | z \ K(y,x) = u. [para(4886(a,1),301(a,1,2))]. given #4758 (H,wt=16): 4928 x * T(x \ 1,y) != z | K(x \ 1,y) = z. [para(3891(a,1),4731(a,1))]. given #4759 (H,wt=16): 4929 K(x \ (x / y),x) != z | K(y \ 1,x) = z. [para(3892(a,2),4731(a,1))]. given #4760 (H,wt=16): 4931 x \ ((x \ y) \ y) != z | K(x,x \ y) = z. [para(114(a,1),4773(a,1,2))]. given #4761 (H,wt=16): 4933 x \ T(x,y \ 1) != z | K(x,1 / y) = z. [para(3102(a,1),4773(a,1,2))]. given #4762 (H,wt=14): 5717 K(x,y \ 1) != z | K(x,1 / y) = z. [para(4649(a,2),4933(a,1))]. given #4763 (H,wt=16): 4939 (x \ K(y,z)) \ (x \ 1) != u | K(z,y) = u. [para(249(a,2),4887(a,1))]. given #4764 (H,wt=16): 4946 K(x,T(x,y) \ 1) != z | K(x,x \ 1) = z. [para(2961(a,1),4935(a,1))]. given #4765 (H,wt=16): 4960 K(x \ 1,y) != x * z | T(x \ 1,y) = z. [para(4650(a,1),19(a,1))]. given #4766 (H,wt=16): 4985 x \ (T(x,y) * z) != u | K(x,y) * z = u. [para(4675(a,1),284(a,1,2)),flip(b)]. given #4767 (H,wt=16): 5000 (K(x,y) * z) / (x \ z) != u | T(x,y) = u. [para(4676(a,1),295(a,1,1)),flip(b)]. given #4768 (H,wt=16): 5008 K(x,y) * (y \ z) != u | T(y,x) \ z = u. [para(4680(a,1),1076(a,1))]. given #4769 (H,wt=16): 5012 K(x,y) \ (y * z) != u | T(y,x) * z = u. [para(4681(a,1),284(a,1,2)),flip(b)]. given #4770 (H,wt=16): 5013 x * (T(x,y) \ z) != u | K(y,x) * z = u. [para(4681(a,1),302(a,1))]. given #4771 (H,wt=16): 5019 K(1 / x,y) / x != z | T(1 / x,y) = z. [para(4699(a,1),414(a,1,1))]. given #4772 (H,wt=16): 5031 T(x,y) * (x \ z) != u | K(x,y) * z = u. [para(4720(a,1),302(a,1))]. given #4773 (H,wt=16): 5060 T(K(x,y),z) != u | z \ (K(y,x) \ z) = u. [para(5036(a,1),647(a,1,1))]. given #4774 (H,wt=16): 5091 K(1 / x,x) != y | K(x,x \ 1) \ 1 = y. [para(1885(a,2),5057(a,1))]. given #4775 (H,wt=16): 5095 K(x,y) * (x * z) != u | T(x,y) * z = u. [para(4722(a,1),213(a,1,2)),flip(b)]. given #4776 (H,wt=16): 5123 (x \ y) * K(x,x \ y) != z | y / x = z. [para(4853(a,1),213(a,1,2)),flip(b)]. given #4777 (H,wt=16): 5125 (x \ 1) / K(y,z) != u | x \ K(z,y) = u. [para(4892(a,1),293(a,1,2)),flip(b)]. given #4778 (H,wt=16): 5134 (K(x,y) / z) \ 1 != z * u | K(y,x) = u. [para(4896(a,2),19(a,1))]. given #4779 (H,wt=16): 5146 x * (K(x,y) * z) != u | T(x,y) * z = u. [para(4976(a,1),213(a,1,2)),flip(b)]. given #4780 (H,wt=16): 5149 x \ y != K(x,z) * u | T(x,z) \ y = u. [para(4977(a,1),19(a,1))]. given #4781 (H,wt=16): 5160 T(x,y) * (K(y,x) * z) != u | x * z = u. [para(5003(a,1),213(a,1,2)),flip(b)]. given #4782 (H,wt=16): 5174 (x \ 1) / (x \ K(x,y)) != z | K(y,x) = z. [para(5039(a,1),295(a,1,1)),flip(b)]. given #4783 (H,wt=16): 5179 (x * K(y,z)) * y != u | x * T(y,z) = u. [para(5094(a,1),213(a,1,2)),flip(b)]. given #4784 (H,wt=16): 5191 (x \ 1) \ (x \ K(y,z)) != u | K(y,z) = u. [para(5131(a,1),284(a,1,2)),flip(b)]. given #4785 (H,wt=16): 5192 (1 / x) \ K(y,z) != u | x * K(y,z) = u. [para(5131(a,1),579(a,1))]. given #4786 (H,wt=16): 5195 (x \ 1) * K(y,z) != u | x \ K(y,z) = u. [para(5132(a,1),213(a,1,2)),flip(b)]. given #4787 (H,wt=16): 5201 (x * y) * K(y,z) != u | x * T(y,z) = u. [para(5145(a,1),213(a,1,2)),flip(b)]. given #4788 (H,wt=16): 5208 x * K(y,z) != u * z | u * T(z,y) = x. [para(5157(a,1),84(a,1,2)),flip(b)]. given #4789 (H,wt=16): 5218 (x * K(y,z)) * y != u * T(y,z) | u = x. [para(5177(a,2),20(a,2)),flip(a)]. given #4790 (H,wt=16): 5220 (x * K(y,z)) \ (x * T(y,z)) != u | u = y. [para(5177(a,1),284(a,1,2))]. given #4791 (H,wt=16): 5233 (1 / x) \ K(y,z) != x * u | K(y,z) = u. [para(5186(a,2),19(a,1))]. given #4792 (H,wt=16): 5239 x * K(y,z) != u | (1 / x) \ K(y,z) = u. [para(5187(a,1),213(a,1,2)),flip(b)]. given #4793 (H,wt=16): 5248 (x / y) * T(y,z) != u | x * K(y,z) = u. [para(5199(a,1),300(a,1))]. given #4794 (H,wt=16): 5269 (x / y) * K(x,y) != z | T(x,y) / y = z. [para(5205(a,2),3978(a,1))]. given #4795 (H,wt=16): 5280 (x / y) * K(z,y) != u | x / T(y,z) = u. [para(5229(a,1),215(a,1,1)),flip(b)]. given #4796 (H,wt=16): 5304 T(x,x * y) \ T(x,y) = x \ R(x,y,x). [hyper(71,a,4982,a(flip),b,4680,a),flip(a)]. given #4797 (H,wt=16): 5308 (1 / (1 / x)) * K(x,1 / x) != y | y = x. [para(1888(a,1),5065(a,1,1))]. given #4798 (H,wt=16): 5321 K(x,x * y) * K(y,x) = x \ L(x,y,x). [hyper(71,a,5301,a(flip),b,4675,a),flip(a)]. given #4799 (H,wt=16): 5325 K(x,y) * K(x * y,x) = x \ R(x,y,x). [hyper(71,a,5303,a(flip),b,4675,a),flip(a)]. given #4800 (H,wt=16): 5329 K((1 / x) \ y,y) != z | K(y * x,y) = z. [para(4663(a,2),4731(a,1))]. given #4801 (H,wt=14): 5744 K(x * y,y) != z | K(y * x,y) = z. [para(5634(a,1),5329(a,1))]. given #4802 (H,wt=16): 5417 K(x,y / z) != u | K(x,(z / y) \ 1) = u. [para(5412(a,1),5022(a,1))]. given #4803 (H,wt=16): 5423 K(x,y * (x \ 1)) != z | K(x,x \ y) = z. [para(5415(a,2),4941(a,1))]. given #4804 (H,wt=16): 5424 K(x,y / (z * y)) != u | K(x,z \ 1) = u. [para(5416(a,2),5022(a,1))]. given #4805 (H,wt=16): 5487 x * T(y,z) != u | (x * K(y,z)) * y = u. [para(5213(a,1),219(a,1))]. given #4806 (H,wt=16): 5505 R(T(x,y * K(x,z)),y,K(x,z)) = T(x,y). [para(5245(a,1),1038(a,1,1)),flip(a)]. given #4807 (H,wt=16): 5560 K(x,y \ z) != u | K(x,(z \ y) \ 1) = u. [para(5555(a,1),5022(a,1))]. given #4808 (H,wt=16): 5571 L(K(x,y \ 1),x,z) = K(x,(u * y) \ u). [hyper(228,a,5507,a,b,5562,a),flip(a)]. given #4809 (H,wt=16): 5579 K(x,(y / z) \ 1) != u | K(x,z / y) = u. [para(5411(a,2),81(a,1)),flip(b)]. given #4810 (H,wt=16): 5622 L(K(x,y),x,z) = K(((u * x) \ u) \ 1,y). [hyper(228,a,5507,a,b,5613,a),flip(a)]. given #4811 (H,wt=16): 5630 K(x / (y * x),z) != u | K(1 / y,z) = u. [para(5618(a,2),5298(a,1))]. given #4812 (H,wt=16): 5640 K(x / (y * x),z) != u | K(y \ 1,z) = u. [para(5629(a,2),2855(a,1))]. given #4813 (H,wt=16): 5641 K(x / y,z) != u | K((y / x) \ 1,z) = u. [para(5631(a,1),2855(a,1))]. given #4814 (H,wt=16): 5659 K(L(x,x \ 1,y),z) = K(1 / (x \ 1),z). [para(61(a,1),5658(a,1,1,1))]. given #4815 (H,wt=12): 5760 K(L(x,x \ 1,y),z) = K(x,z). [para(61(a,1),5659(a,2,1))]. given #4816 (H,wt=14): 5761 K(x,L(y,y \ 1,z)) = 1 / K(y,x). [para(5760(a,1),4894(a,1,2)),flip(a)]. given #4817 (H,wt=12): 5762 K(x,L(y,y \ 1,z)) = K(x,y). [hyper(228,a,4894,a(flip),b,5761,a)]. given #4818 (H,wt=14): 5763 K(x,L(1 / y,y,z)) = K(x,1 / y). [para(64(a,1),5762(a,1,2,2))]. given #4819 (H,wt=16): 5671 K(x,(y \ z) \ 1) != u | K(x,z \ y) = u. [para(5561(a,2),4887(a,1))]. given #4820 (H,wt=16): 5674 K(x \ (x / y),z) != u | K(y \ 1,z) = u. [para(5585(a,2),4731(a,1))]. given #4821 (H,wt=16): 5676 T(x,(y \ z) \ 1) != u | T(x,z \ y) = u. [para(5615(a,2),4684(a,1))]. given #4822 (H,wt=16): 5688 T(x,L(y,y \ 1,z)) = T(x,(1 / y) \ 1). [para(2850(a,2),5679(a,1,2))]. given #4823 (H,wt=12): 5769 T(x,L(y,y \ 1,z)) = T(x,y). [para(64(a,1),5688(a,2,2))]. given #4824 (H,wt=16): 5723 K(x,y) * z != u | T(x,y) * (x \ z) = u. [para(14(a,1),5095(a,1,2))]. given #4825 (H,wt=16): 5727 T(x,y) * z != u | x * (K(x,y) * z) = u. [para(5042(a,1),5160(a,1,2))]. given #4826 (H,wt=16): 5731 x * K(y,z) != u | (x / y) * T(y,z) = u. [para(16(a,1),5201(a,1,1))]. given #4827 (H,wt=16): 5735 x * T(y,z) != u | (x * y) * K(y,z) = u. [para(15(a,1),5248(a,1,1))]. given #4828 (H,wt=16): 5740 K(x * y,x) * K(x,y) = x \ R(x,y,x). [hyper(228,a,5163,a(flip),b,5304,a(flip)),flip(a)]. given #4829 (H,wt=16): 5741 K(x,y) * K(y,y * x) = y \ L(y,x,y). [hyper(1759,a,5321,a)]. given #4830 (H,wt=16): 5743 K(x,y) * K(y * x,x) = x \ R(x,y,x). [para(5647(a,2),5325(a,1,2))]. given #4831 (H,wt=16): 5752 K(x,(y * z) \ y) != u | K(x,z \ 1) = u. [para(5571(a,1),3865(a,1)),flip(b)]. given #4832 (H,wt=16): 5754 K(x,y * (z \ 1)) != u | K(x,y / z) = u. [para(120(a,1),5579(a,1,2))]. given #4833 (H,wt=16): 5756 K(((x * y) \ x) \ 1,z) != u | K(y,z) = u. [para(5622(a,1),3865(a,1)),flip(b)]. given #4834 (H,wt=14): 5784 K(x \ (x * y),z) != u | K(y,z) = u. [para(5601(a,1),5756(a,1))]. given #4835 (H,wt=14): 5785 K((x / y) \ x,z) != u | K(y,z) = u. [para(16(a,1),5784(a,1,1,2))]. given #4836 (H,wt=14): 5786 K(x,y) != z | K((u / x) \ u,y) = z. [para(208(a,1),5784(a,1,1))]. given #4837 (H,wt=16): 5758 K((x \ y) / y,z) != u | K(x \ 1,z) = u. [para(14(a,1),5640(a,1,1,2))]. given #4838 (H,wt=16): 5766 K(x,1 / (y \ z)) != u | K(x,z \ y) = u. [para(3240(a,2),5671(a,1))]. given #4839 (H,wt=16): 5776 K(x * y,y) * K(y,x) = y \ R(y,x,y). [para(5647(a,2),5740(a,1,1))]. given #4840 (H,wt=16): 5777 K(x,y) * K(y,x * y) = y \ L(y,x,y). [para(5433(a,2),5741(a,1,2))]. given #4841 (H,wt=16): 5781 K(x,y * (1 / z)) != u | K(x,y / z) = u. [para(5379(a,2),5754(a,1))]. given #4842 (H,wt=16): 5782 K((x \ y) \ 1,z) != u | K(y \ x,z) = u. [para(14(a,1),5756(a,1,1,1,1))]. given #4843 (H,wt=16): 5787 K(x,(1 / y) * z) != u | K(x,y \ z) = u. [para(326(a,1),5766(a,1,2))]. given #4844 (H,wt=16): 5789 K(1 / (x \ y),z) != u | K(y \ x,z) = u. [para(2853(a,2),5782(a,1))]. given #4845 (H,wt=16): 5790 T(K(x / y,z),x) != u | K(y \ x,z) = u. [para(5611(a,2),5782(a,1))]. given #4846 (H,wt=14): 5796 K(x / y,x) != z | K(y \ x,x) = z. [para(2498(a,1),5790(a,1))]. given #4847 (H,wt=16): 5791 K(x,y * z) != u | K(x,(y \ 1) \ z) = u. [para(61(a,1),5787(a,1,2,1))]. given #4848 (H,wt=16): 5792 K(x,(y \ 1) * z) != u | K(x,y \ z) = u. [para(5384(a,1),5787(a,1))]. given #4849 (H,wt=16): 5793 K((1 / x) * y,z) != u | K(x \ y,z) = u. [para(326(a,1),5789(a,1,1))]. given #4850 (H,wt=16): 5795 T(K(x,y),z) != u | K((x \ z) \ z,y) = u. [para(61(a,1),5790(a,1,1,1))]. given #4851 (H,wt=16): 5797 K(x * (y \ 1),x) != z | K(y \ x,x) = z. [para(5633(a,2),5796(a,1))]. given #4852 (H,wt=16): 5800 K(x * y,z) != u | K((x \ 1) \ y,z) = u. [para(61(a,1),5793(a,1,1,1))]. given #4853 (H,wt=16): 5801 K((x \ 1) * y,z) != u | K(x \ y,z) = u. [para(5349(a,1),5793(a,1))]. given #4854 (H,wt=17): 4631 (x / y) * (y * K(y \ x,y)) = (y \ x) * y. [para(4621(a,1),3822(a,1,2))]. given #4855 (H,wt=17): 4633 T(x,y) / (T(x,y) / y) = y * K(y \ x,y). [para(4238(a,1),4621(a,2,2))]. given #4856 (H,wt=17): 4679 x * ((y \ (x \ y)) * y) = y * K(x \ 1,y). [para(4641(a,2),3897(a,1,2)),flip(a)]. given #4857 (H,wt=17): 4698 T(x \ T(x,y \ 1),z) = K(x,T(y,z) \ 1). [hyper(228,a,3640,a(flip),b,4649,a),flip(a)]. given #4858 (H,wt=15): 5807 K(x,T(y,z) \ 1) = T(K(x,y \ 1),z). [para(4649(a,2),4698(a,1,1)),flip(a)]. given #4859 (H,wt=15): 5810 K(x,T(1 / y,z) \ 1) = T(K(x,y),z). [para(64(a,1),5807(a,2,1,2))]. given #4860 (H,wt=12): 5817 K(x,R(T(K(x,y),z),u,w)) = 1. [para(5810(a,1),3174(a,1,2,1))]. given #4861 (H,wt=15): 5812 K(x,T(y \ 1,z) \ 1) = T(K(x,y),z). [para(3236(a,1),5807(a,2,1))]. given #4862 (H,wt=15): 5815 K(x,1 / T(1 / y,z)) = T(K(x,y),z). [hyper(5717,a,5810,a)]. given #4863 (H,wt=15): 5816 K(x,1 / T(y,z)) = T(K(x,1 / y),z). [para(2320(a,1),5810(a,1,2))]. given #4864 (H,wt=15): 5818 K(x,y * K(z,y \ 1)) = T(K(x,y),z). [para(5144(a,1),5810(a,1,2))]. given #4865 (H,wt=17): 4737 (1 / (1 / x)) / K(y,x) = T(1 / (1 / x),y). [para(3242(a,1),4658(a,2,2)),flip(a)]. given #4866 (H,wt=17): 4748 L(x * K(y,x),z,u) * y = y * L(x,z,u). [para(4674(a,1),183(a,1,2,1)),flip(a)]. given #4867 (H,wt=17): 4749 R(x * K(y,x),z,u) * y = y * R(x,z,u). [para(4674(a,1),184(a,1,2,1)),flip(a)]. given #4868 (H,wt=17): 4751 T(1 / (1 / (x * K(y,x))),y) = 1 / (1 / x). [para(4674(a,1),2324(a,1,2,2)),flip(a)]. given #4869 (H,wt=15): 5824 T(1 / (K(x,y) / x),y) = 1 / (1 / x). [para(4898(a,1),4751(a,1,1,2))]. given #4870 (H,wt=17): 4756 T(x,L(y * K(x,y),z,u)) = T(x,L(y,z,u)). [para(4674(a,1),3943(a,1,2,1)),flip(a)]. given #4871 (H,wt=17): 4764 x * K(x,y * (z \ 1)) = T(x,y * (1 / z)). [hyper(228,a,4340,a,b,4705,a(flip))]. given #4872 (H,wt=17): 4809 K(x \ 1,x) * K(y,x) = (T(x,y) \ 1) * x. [para(4653(a,2),2889(a,2,1))]. given #4873 (H,wt=17): 4823 ((x \ (1 / y)) * x) * y = K((x * y) \ 1,x). [hyper(3659,a,4673,a)]. given #4874 (H,wt=17): 4837 L(x * K(y,x),z,u) = (y * L(x,z,u)) / y. [para(4673(a,1),786(a,1,1))]. given #4875 (H,wt=17): 4838 R(x * K(y,x),z,u) = (y * R(x,z,u)) / y. [para(4673(a,1),792(a,1,1))]. given #4876 (H,wt=17): 4841 T(x * K(y,x),x \ y) = (x \ y) \ T(y,x). [para(4673(a,1),1086(a,1,1))]. given #4877 (H,wt=17): 4850 (x \ (y * K(x,y))) * x = (x \ y) * T(x,y). [para(4673(a,1),4525(a,1,1,2))]. given #4878 (H,wt=17): 4876 K(x,R(y / x,z,u)) = K(x,R(x \ y,z,u)). [para(187(a,1),4871(a,1,2)),flip(a)]. given #4879 (H,wt=17): 4901 (1 / x) \ (K(y,z) * u) = x / (u \ K(z,y)). [para(4879(a,1),324(a,1,2,2)),flip(a)]. given #4880 (H,wt=17): 4902 K(x,y) * T(z,z \ 1) = (z \ K(y,x)) \ 1. [para(4879(a,1),626(a,1,1))]. given #4881 (H,wt=17): 4932 x \ L(T(x,y),y,x) != z | K(x,x * y) = z. [para(673(a,2),4773(a,1,2))]. given #4882 (H,wt=17): 4951 (x * T(x \ y,z)) / y = K((x / y) \ 1,z). [hyper(228,a,1473,a(flip),b,4642,a(flip)),flip(a)]. given #4883 (H,wt=17): 4952 x \ (y * T(y \ x,z)) = K((x \ y) \ 1,z). [hyper(228,a,1383,a(flip),b,4642,a(flip)),flip(a)]. given #4884 (H,wt=17): 4954 x * T(x \ y,z) = y * K((y \ x) \ 1,z). [para(4642(a,1),1381(a,2,2))]. given #4885 (H,wt=17): 4956 K((x / y) \ 1,z) * y = x * T(x \ y,z). [para(4642(a,1),1472(a,1,1))]. given #4886 (H,wt=17): 4968 K(x \ (x / T(y,z)),x) = T(K(y \ 1,x),z). [para(4650(a,1),2030(a,1,1)),flip(a)]. given #4887 (H,wt=15): 5852 K(T(x,y) \ 1,z) = T(K(x \ 1,z),y). [hyper(5674,a,4968,a)]. given #4888 (H,wt=15): 5856 K(T(1 / x,y) \ 1,z) = T(K(x,z),y). [para(64(a,1),5852(a,2,1,1))]. given #4889 (H,wt=15): 5857 K(T(x \ 1,y) \ 1,z) = T(K(x,z),y). [para(2857(a,1),5852(a,2,1))]. given #4890 (H,wt=15): 5859 K(1 / T(x,y),z) = T(K(1 / x,z),y). [para(2320(a,1),5856(a,1,1))]. given #4891 (H,wt=15): 5860 K(((x \ 1) * y) \ y,z) = T(K(x,z),y). [hyper(228,a,5602,a(flip),b,5857,a(flip)),flip(a)]. given #4892 (H,wt=17): 4974 K(x,y) * K(x \ 1,x) = (x \ K(x,y)) * x. [para(4669(a,1),239(a,1,2))]. given #4893 (H,wt=15): 5864 (x \ K(x,y)) * T(x,x \ 1) = K(x,y). [hyper(5208,a,4974,a)]. given #4894 (H,wt=17): 4984 T(x,y) * T(z,K(x,y)) = x * (z * K(x,y)). [para(113(a,1),4675(a,1,2)),flip(a)]. given #4895 (H,wt=17): 4988 (x \ y) * T((x \ y) \ y,z) = K(x,z) * y. [hyper(882,a,4676,a)]. given #4896 (H,wt=17): 5005 T(x,x \ 1) \ (y \ 1) = T(y \ (x \ 1),x). [hyper(171,a,3215,a(flip),b,4680,a),flip(a)]. given #4897 (H,wt=17): 5009 K(x,y) * T(T(y,x),z) = y * K(T(y,x),z). [para(4649(a,2),4680(a,1,2)),flip(a)]. given #4898 (H,wt=17): 5010 K(x,y / x) * ((x \ y) * z) = (y / x) * z. [para(115(a,1),4681(a,1,2,1))]. given #4899 (H,wt=17): 5015 (x * T(x \ y,y)) * (y \ 1) = K(x \ y,y). [para(1336(a,1),4690(a,2,1)),flip(a)]. given #4900 (H,wt=17): 5018 (x * T(x \ y,z)) / y = K(1 / (x / y),z). [hyper(228,a,1470,a(flip),b,4699,a(flip)),flip(a)]. given #4901 (H,wt=17): 5023 (x \ y) * K((x \ 1) \ 1,x \ y) = y / x. [para(2857(a,2),4717(a,1,2))]. given #4902 (H,wt=17): 5028 K(x,y) \ (z * T(x,y)) = x * T(z,T(x,y)). [hyper(71,a,113,a(flip),b,4720,a)]. given #4903 (H,wt=17): 5029 (x * K(y,x)) * K(x,z) = T(x,z) * K(y,x). [hyper(228,a,3657,a(flip),b,4720,a(flip)),flip(a)]. given #4904 (H,wt=16): 5870 (x * K(y,x)) \ L(x,y,x) = K(x,x * y). [hyper(71,a,5301,a(flip),b,5029,a)]. given #4905 (H,wt=17): 5074 K(x,y) * (R(x,z,u) * K(y,x)) = R(x,z,u). [hyper(17,a,2507,a(flip),b,5042,a)]. given #4906 (H,wt=17): 5117 K(x,y \ 1) * (y \ x) = x * ((y \ x) / x). [para(4115(a,1),4815(a,1,1))]. given #4907 (H,wt=17): 5126 (K(x,y) * K(z,u)) \ 1 = K(u,z) * K(y,x). [hyper(228,a,5035,a(flip),b,4893,a)]. given #4908 (H,wt=17): 5133 (K(x,y) / z) \ (1 / u) = (z * K(y,x)) / u. [hyper(72,a,4896,a(flip),b,256,a),flip(a)]. given #4909 (H,wt=17): 5135 1 / (x * (y * K(z,u))) = (K(u,z) / y) / x. [para(4896(a,1),259(a,1,2,2))]. given #4910 (H,wt=17): 5136 K(x,1 / (K(y,z) / u)) = K(x,u * K(z,y)). [para(4896(a,1),3240(a,2,2))]. given #4911 (H,wt=17): 5138 1 / (K(x,y) * T(x,z)) = K(y,x) / T(x,z). [para(3157(a,1),4898(a,1,2))]. given #4912 (H,wt=17): 5150 K(x,x \ y) * (((x \ y) \ y) \ z) = x \ z. [para(114(a,1),4977(a,1,2,1))]. given #4913 (H,wt=17): 5156 K(x,y) * T(x,T(y,z)) = T(T(x,y),T(y,z)). [hyper(228,a,4254,a(flip),b,5003,a(flip))]. given #4914 (H,wt=11): 5876 K(T(x,T(y,z)),y) = K(x,y). [hyper(18,a,4782,a,b,5156,a),flip(a)]. given #4915 (H,wt=15): 5877 K(x / T(y,z),y) = K(T(y,z) \ x,y). [para(115(a,1),5876(a,1,1)),flip(a)]. given #4916 (H,wt=17): 5162 K(x,T(y,z)) * K(z,y) = T(T(y,z),x) \ y. [para(4655(a,1),5003(a,1,2)),flip(a)]. given #4917 (H,wt=17): 5172 (x / y) * K(x,1 / y) = x * ((x / y) / x). [para(5020(a,1),240(a,1,2))]. given #4918 (H,wt=17): 5184 ((x * K(y,z)) \ 1) \ 1 = (x \ 1) \ K(y,z). [para(118(a,2),5130(a,1,1))]. given #4919 (H,wt=17): 5190 (x \ (y \ 1)) * K(z,u) = (y * x) \ K(z,u). [para(118(a,1),5131(a,1,1))]. given #4920 (H,wt=17): 5211 (K(x,y) * K(y,z)) * y = T(y,z) * K(x,y). [hyper(228,a,2504,a,b,5177,a)]. given #4921 (H,wt=15): 5882 (K(x,y) * K(y,z)) * T(y,x) = T(y,z). [hyper(5208,a,5211,a(flip))]. given #4922 (H,wt=17): 5230 (x / (y \ z)) * K(z / y,y) = x / (z / y). [para(115(a,1),5180(a,1,1,2))]. given #4923 (H,wt=17): 5234 ((1 / x) * y) \ K(z,u) = (y \ x) * K(z,u). [para(326(a,1),5186(a,1,1))]. given #4924 (H,wt=17): 5244 K(x,y) \ (z * T(x,y)) = T(z * x,K(x,y)). [hyper(171,a,5199,a,b,14,a),flip(a)]. given #4925 (H,wt=15): 5885 T(x * y,K(y,z)) = y * T(x,T(y,z)). [hyper(228,a,5028,a(flip),b,5244,a(flip))]. given #4926 (H,wt=17): 5254 (x * K(y,x)) * K(x,z) = K(y,x) * T(x,z). [para(2501(a,1),5199(a,1,1))]. given #4927 (H,wt=17): 5270 (x * ((y \ z) \ z)) * K(y \ z,y) = x * y. [para(114(a,1),5207(a,1,1,2))]. given #4928 (H,wt=15): 5887 (T(x,y) \ y) * ((x \ y) \ y) = T(y,x). [hyper(18,a,4240,a,b,5270,a)]. given #4929 (H,wt=17): 5323 T(x,x * y) * K(y,x) != z | L(x,y,x) = z. [para(5302(a,2),213(a,1,2)),flip(b)]. given #4930 (H,wt=17): 5350 K(x \ (y * K(z,z \ 1)),u) = K(x \ y,u). [para(4333(a,2),5340(a,1,1))]. given #4931 (H,wt=17): 5351 K(x \ (K(y,y \ 1) * z),u) = K(x \ z,u). [para(4334(a,2),5340(a,1,1))]. given #4932 (H,wt=17): 5357 K((K(x,x \ 1) * y) \ z,u) = K(y \ z,u). [para(4401(a,2),5341(a,1,1))]. given #4933 (H,wt=17): 5385 K(x,y \ (K(z,z \ 1) * u)) = K(x,y \ u). [para(4334(a,2),5372(a,1,2))]. given #4934 (H,wt=17): 5387 K(x,y * (z * K(u,1 / u))) = K(x,y * z). [para(4324(a,1),5373(a,1,2))]. given #4935 (H,wt=17): 5389 K(x,T(y * K(z,z \ 1),u)) = K(x,T(y,u)). [para(4522(a,2),5374(a,1,2))]. given #4936 (H,wt=17): 5391 K(x,(K(y,y \ 1) * z) \ u) = K(x,z \ u). [para(4370(a,2),5378(a,1,2))]. given #4937 (H,wt=17): 5393 K(x,y / (K(z,z \ 1) * u)) = K(x,y / u). [para(4553(a,2),5378(a,1,2))]. given #4938 (H,wt=17): 5394 K(x,y / (z * K(u,u \ 1))) = K(x,y / z). [para(4554(a,2),5378(a,1,2))]. given #4939 (H,wt=17): 5396 T(x,y) * K(z,T(x,y)) = T(x * K(z,x),y). [hyper(18,a,4715,a,b,4746,a),flip(a)]. given #4940 (H,wt=16): 5905 T(T(x * K(y,x),z),y) != u | T(x,z) = u. [para(5396(a,1),5405(a,1,1)),flip(b)]. given #4941 (H,wt=16): 5906 T(T(x / y,z),y) != u | T(y \ x,z) = u. [para(4717(a,1),5905(a,1,1,1))]. given #4942 (H,wt=17): 5403 K(x,T(y,z)) * T(y,z) = T(y * K(x,y),z). [hyper(228,a,4716,a(flip),b,4747,a),flip(a)]. given #4943 (H,wt=17): 5404 T(x,y) \ T(x * K(z,x),y) = K(z,T(x,y)). [hyper(71,a,4747,a,b,4673,a(flip))]. given #4944 (H,wt=17): 5406 T(x * K(y,x),z) \ T(x,z) = K(T(x,z),y). [para(4747(a,2),4644(a,2,1)),flip(a)]. given #4945 (H,wt=17): 5422 K(x,y * (z \ (u \ 1))) = K(x,y / (u * z)). [para(118(a,1),5415(a,1,2,2))]. given #4946 (H,wt=17): 5425 K(x,y / ((1 / z) * u)) = K(x,y * (u \ z)). [para(326(a,1),5421(a,1,2,2))]. given #4947 (H,wt=17): 5446 K(x \ y,x) * ((x \ y) \ z) = (y / x) \ z. [para(14(a,1),4978(a,1,1,1)),flip(a)]. given #4948 (H,wt=17): 5450 (((x * y) / x) \ z) \ 1 = (y \ z) \ K(x,y). [para(4978(a,2),4893(a,1,1))]. given #4949 (H,wt=15): 5918 (x \ T(y,x)) \ K(y,x) = (x \ y) \ 1. [para(1087(a,1),5450(a,1,1)),flip(a)]. given #4950 (H,wt=15): 5919 K(x,y) = (y \ T(x,y)) * ((y \ x) \ 1). [para(5918(a,1),14(a,1,2)),flip(a)]. given #4951 (H,wt=17): 5452 K(x,y) * (T(y,z) * x) = T(y,z) * T(x,y). [hyper(228,a,4087,a(flip),b,4979,a)]. given #4952 (H,wt=17): 5453 K(x,y) * (x \ (y \ z)) = x \ (T(y,x) \ z). [hyper(71,a,5004,a(flip),b,4991,a),flip(a)]. given #4953 (H,wt=17): 5457 (K(x,y) / T(y,z)) \ 1 = K(y,z) * T(y,x). [hyper(228,a,4896,a,b,5002,a),flip(a)]. given #4954 (H,wt=17): 5463 (x \ (x / (y \ 1))) * T(x,y) = x / (y \ 1). [para(3103(a,1),5100(a,1,2))]. given #4955 (H,wt=17): 5470 x * (K(y,x) * T(z,x)) = K(y,x) * (z * x). [para(5159(a,1),4680(a,1,2))]. given #4956 (H,wt=17): 5478 K(x,y / (z \ 1)) * (z \ T(z * y,x)) = y. [para(868(a,1),5169(a,1,2))]. given #4957 (H,wt=17): 5492 x \ T(x * y,z) = y * K((x \ 1) \ y,z). [hyper(950,a,5241,a)]. given #4958 (H,wt=17): 5524 K(x \ y,x) * ((y / x) * z) = (x \ y) * z. [para(14(a,1),5332(a,1,2,1,1))]. given #4959 (H,wt=17): 5537 K(x \ 1,(x \ 1) \ y) = K(x \ 1,y * x). [para(61(a,1),5533(a,1,2,2)),flip(a)]. given #4960 (H,wt=15): 5932 K(x \ 1,y * x) = K(x \ 1,x * y). [hyper(228,a,5548,a(flip),b,5537,a(flip))]. given #4961 (H,wt=17): 5544 K(x,((1 / y) * z) \ u) = K(x,(z \ y) * u). [para(326(a,1),5540(a,1,2,1))]. given #4962 (H,wt=17): 5545 K(x,(y \ (z \ 1)) * u) = K(x,(z * y) \ u). [para(118(a,1),5543(a,1,2,1))]. given #4963 (H,wt=15): 5934 K(x,(y * z) \ 1) = K(x,z \ (y \ 1)). [para(12(a,1),5545(a,1,2)),flip(a)]. given #4964 (H,wt=17): 5552 K(x,(y * (z \ 1)) \ u) = K(x,(z / y) * u). [para(120(a,1),5548(a,1,2,1))]. given #4965 (H,wt=17): 5570 K(x,(K(y,z) * u) \ 1) = K(x,u \ K(z,y)). [para(5035(a,1),5558(a,1,2,1))]. given #4966 (H,wt=17): 5581 ((x * K(y,x)) \ z) \ 1 = (x \ z) \ K(y,x). [para(5449(a,2),4893(a,1,1))]. given #4967 (H,wt=17): 5583 (K(x,y) * T(x,z)) \ 1 = T(x,y) \ K(z,x). [para(5458(a,1),4893(a,1,1))]. given #4968 (H,wt=17): 5620 (x * K(y \ 1,x)) \ (y \ x) = (y \ x) / x. [para(5609(a,1),4830(a,1,1,2))]. given #4969 (H,wt=17): 5638 K((x * (y \ 1)) \ z,u) = K((y / x) * z,u). [para(259(a,1),5621(a,1,1,1)),flip(a)]. given #4970 (H,wt=17): 5643 (x * (y \ 1)) * (y / x) = K(x / y,y / x). [hyper(228,a,3255,a(flip),b,5633,a(flip)),flip(a)]. given #4971 (H,wt=17): 5645 K(x * (y \ (z \ 1)),u) = K(x / (z * y),u). [para(118(a,1),5633(a,1,1,2))]. given #4972 (H,wt=17): 5649 K(x * (y \ 1),y \ 1) = K(y \ x,y \ 1). [hyper(228,a,5647,a,b,5635,a(flip)),flip(a)]. given #4973 (H,wt=17): 5654 K((x \ 1) \ y,x \ 1) = K(y * x,x \ 1). [hyper(228,a,5343,a(flip),b,5639,a(flip))]. given #4974 (H,wt=15): 5941 K(x * y,y \ 1) = K(y * x,y \ 1). [hyper(228,a,5637,a(flip),b,5654,a(flip))]. given #4975 (H,wt=17): 5660 K(L(x,y,z) / u,x) = K(u \ L(x,y,z),x). [hyper(18,a,2506,a(flip),b,5494,a)]. given #4976 (H,wt=17): 5664 K(x,x \ y) * ((x \ y) * z) = (y / x) * z. [para(14(a,1),5523(a,2,1,1))]. given #4977 (H,wt=17): 5695 (x / (x / y)) * (y \ z) = K(y \ x,y) * z. [para(3906(a,1),5662(a,1,1))]. given #4978 (H,wt=17): 5697 x * (K(y,x) * K(z,y)) = (y * x) / T(y,z). [hyper(228,a,5205,a(flip),b,5663,a(flip))]. given #4979 (H,wt=17): 5698 (x \ y) * (K(x,x \ y) * z) = (y / x) * z. [para(14(a,1),5663(a,1,1,1)),flip(a)]. given #4980 (H,wt=17): 5700 (x / (x / y)) * z = y * (K(y \ x,y) * z). [para(3906(a,1),5663(a,1,1))]. given #4981 (H,wt=17): 5703 T(x,x \ (y * x)) / ((y * x) \ x) = x * y. [para(15(a,1),5685(a,2,2))]. given #4982 (H,wt=15): 5957 T(x,T(y,x)) / ((y * x) \ x) = x * y. [para(32(a,2),5703(a,1,1,2))]. given #4983 (H,wt=13): 5958 T(x,y) / ((y * x) \ x) = x * y. [para(3921(a,1),5957(a,1,1))]. given #4984 (H,wt=13): 5959 T(x,y) = (x * y) * ((y * x) \ x). [para(5958(a,1),16(a,1,1)),flip(a)]. given #4985 (H,wt=13): 5960 (x * y) \ T(x,y) = (y * x) \ x. [para(5958(a,1),64(a,1,1))]. given #4986 (H,wt=15): 5962 ((x \ y) * x) \ x = y \ T(x,x \ y). [hyper(71,a,5959,a,b,88,a(flip)),flip(a)]. given #4987 (H,wt=17): 5811 x * K(y,T(z,x) \ 1) = K(y,z \ 1) * x. [para(5807(a,2),113(a,1,2))]. given #4988 (H,wt=17): 5825 (1 / (K(x,y) / x)) * y = y * (1 / (1 / x)). [para(5824(a,1),113(a,1,2)),flip(a)]. given #4989 (H,wt=17): 5827 (x \ 1) * (x * K(y,x)) = (T(x,y) \ 1) * x. [hyper(228,a,3032,a(flip),b,4809,a(flip)),flip(a)]. given #4990 (H,wt=17): 5828 ((x \ (1 / y)) * x) * y = K(y \ (x \ 1),x). [para(118(a,1),4823(a,2,1))]. given #4991 (H,wt=17): 5845 (x * K((x \ y) \ 1,z)) / y = T(x / y,z). [hyper(72,a,4954,a(flip),b,409,a)]. given #4992 (H,wt=17): 5861 K(x,T(y \ 1,z) \ 1) = 1 / T(K(y,x),z). [para(5857(a,1),4894(a,1,2)),flip(a)]. given #4993 (H,wt=13): 5966 1 / T(K(x,y),z) = T(K(y,x),z). [hyper(228,a,5812,a(flip),b,5861,a(flip))]. given #4994 (H,wt=13): 5967 T(K(x,y),z) \ 1 = T(K(y,x),z). [para(5966(a,1),64(a,1,1))]. given #4995 (H,wt=15): 5968 T(K(x,y),z) * K(y,x) = K(z,K(y,x)). [para(5966(a,1),4646(a,2,1)),flip(a)]. given #4996 (H,wt=11): 5972 K(K(x,y),z) = K(z,K(y,x)). [hyper(228,a,4907,a(flip),b,5968,a(flip)),flip(a)]. given #4997 (H,wt=13): 5973 K(x,K(y,z)) \ 1 = K(x,K(z,y)). [hyper(5057,a,5972,a)]. given #4998 (H,wt=13): 5975 x * K(K(y,z),x) = T(x,K(z,y)). [para(5972(a,2),4705(a,2,2)),flip(a)]. given #4999 (H,wt=11): 5980 T(T(x,K(y,z)),K(z,y)) = x. [hyper(4831,a,5975,a)]. given #5000 (H,wt=11): 5985 T(K(x,y),K(z,y)) = K(x,y). [para(1754(a,1),5980(a,1,1))]. given #5001 (H,wt=11): 5986 T(K(x,y),K(x,z)) = K(x,y). [para(1756(a,1),5980(a,1,1))]. given #5002 (H,wt=14): 5978 K(x,K(y,z)) != u | K(K(z,y),x) = u. [para(5973(a,1),4887(a,1))]. given #5003 (H,wt=14): 5982 T(T(x,K(y,z)),K(z,y)) != u | u = x. [para(5975(a,1),4831(a,1))]. given #5004 (H,wt=12): 5993 T(x,K(y \ 1,y)) != z | z = x. [para(2339(a,1),5982(a,1,1))]. given #5005 (H,wt=8): 5997 T(x,1) != y | y = x. [para(145(a,1),5993(a,1,2))]. given #5006 (H,wt=10): 5999 T(x,y \ y) != z | z = x. [para(52(a,2),5997(a,1,2))]. given #5007 (H,wt=14): 5992 T(K(x,y),K(x,z)) != u | K(x,y) = u. [para(1756(a,1),5982(a,1,1)),flip(b)]. given #5008 (H,wt=14): 5995 T(K(x,y),K(y,z)) != u | K(x,y) = u. [para(5985(a,1),5982(a,1,1)),flip(b)]. given #5009 (H,wt=14): 5996 T(K(x,y),K(z,x)) != u | K(x,y) = u. [para(5986(a,1),5982(a,1,1)),flip(b)]. given #5010 (H,wt=15): 5970 K(x,y) * T(K(y,x),z) = K(z,K(x,y)). [para(5967(a,1),4647(a,2,2)),flip(a)]. given #5011 (H,wt=15): 5971 K(x,K(y,z)) * K(z,y) = T(K(z,y),x). [hyper(5064,a,5968,a)]. given #5012 (H,wt=15): 5974 K(x,y) * K(z,K(y,x)) = T(K(x,y),z). [para(5972(a,1),4705(a,2,2)),flip(a)]. given #5013 (H,wt=15): 5979 T(K(x,y) \ z,K(y,x)) = z / K(x,y). [hyper(5123,a,5975,a),flip(a)]. given #5014 (H,wt=15): 5981 T(x,K(y,z)) * K(z,y) = K(z,y) * x. [para(5975(a,1),4715(a,1,1))]. given #5015 (H,wt=15): 5987 T(K(x,y) * z,K(x,y)) = z * K(x,y). [para(5079(a,1),5980(a,1,1))]. given #5016 (H,wt=15): 5988 T(K(x,y) \ z,K(y,x)) = z * K(y,x). [para(5080(a,1),5980(a,1,1))]. given #5017 (H,wt=15): 5989 K(x,y) \ K(z,x) = K(z,x) * K(y,x). [hyper(71,a,5985,a(flip),b,5041,a)]. given #5018 (H,wt=15): 5990 K(x,y) * K(x,z) = K(x,z) * K(x,y). [para(5986(a,1),113(a,1,2))]. given #5019 (H,wt=15): 5998 L(x \ 1,x,y) != z | (y * x) \ y = z. [para(2077(a,1),5993(a,1)),flip(b)]. given #5020 (H,wt=15): 6002 (K(x,y) * z) * K(y,x) = T(z,K(y,x)). [hyper(5064,a,5981,a)]. given #5021 (H,wt=15): 6003 (K(x,y) \ z) * K(x,y) = T(z,K(x,y)). [para(14(a,1),5987(a,1,1)),flip(a)]. given #5022 (H,wt=13): 6008 x / T(K(y,z),x) = K(y,z) \ x. [hyper(18,a,3922,a,b,6003,a),flip(a)]. given #5023 (H,wt=13): 6009 (K(x,y) \ z) \ z = T(K(x,y),z). [para(6008(a,1),64(a,1,1))]. given #5024 (H,wt=13): 6010 (K(x,y) * z) \ z = T(K(y,x),z). [para(5035(a,1),6009(a,1,1))]. given #5025 (H,wt=13): 6011 (K(x,y) * z) * T(K(y,x),z) = z. [para(6010(a,1),14(a,1,2))]. given #5026 (H,wt=16): 5976 K(x,K(y,z)) \ 1 != u | K(x,K(z,y)) = u. [para(5972(a,1),4887(a,1,1))]. given #5027 (H,wt=14): 6012 K(K(x,y),z) != u | K(z,K(y,x)) = u. [para(4879(a,1),5976(a,1))]. given #5028 (H,wt=17): 5862 x * K(1 / T(y,x),z) = K(1 / y,z) * x. [para(5859(a,2),113(a,1,2))]. given #5029 (H,wt=17): 5865 T((x \ 1) \ (y \ 1),y) = ((y \ x) \ 1) \ 1. [hyper(228,a,658,a(flip),b,5005,a(flip))]. given #5030 (H,wt=17): 5866 T(T(x,y),z) * K(y,x) = x * K(T(x,y),z). [hyper(2512,a,5009,a)]. given #5031 (H,wt=17): 5871 (x \ T(y,x \ 1)) / (x \ y) = K(y,x \ 1). [hyper(72,a,3621,a,b,5117,a)]. given #5032 (H,wt=17): 5879 ((x * y) \ 1) \ K(y,x) = ((y * x) \ 1) \ 1. [para(93(a,1),5184(a,1,1,1)),flip(a)]. given #5033 (H,wt=17): 5883 (x / (y \ z)) * K(y \ z,y) = x / (z / y). [para(4882(a,1),5230(a,1,2))]. given #5034 (H,wt=17): 5889 K(x,y) * T(y,y * x) != z | L(y,x,y) = z. [para(2504(a,1),5323(a,1))]. given #5035 (H,wt=17): 5898 K(x,y * (K(z,1 / z) * u)) = K(x,y * u). [para(2351(a,2),5387(a,1,2,2))]. given #5036 (H,wt=17): 5915 K(x,x \ y) * ((y / x) \ z) = (x \ y) \ z. [hyper(5071,a,5446,a)]. given #5037 (H,wt=17): 5920 (x \ T(x * y,x)) * (y \ 1) = K(x * y,x). [para(13(a,1),5919(a,2,2,1)),flip(a)]. given #5038 (H,wt=17): 5921 K(x,y) * (T(x,z) * T(y,x)) = T(x,z) * y. [hyper(5071,a,5452,a)]. given #5039 (H,wt=17): 5926 K(x,x \ y) \ ((y / x) * z) = (x \ y) * z. [hyper(5058,a,5524,a)]. given #5040 (H,wt=17): 5931 K(x \ 1,(1 / x) \ y) = K(x \ 1,y * x). [hyper(228,a,5383,a,b,5537,a(flip)),flip(a)]. given #5041 (H,wt=17): 5933 x * T(x \ 1,y * x) = K(x \ 1,x * y). [hyper(4678,a,5932,a)]. given #5042 (H,wt=15): 6023 T(x \ 1,y * x) = T(x \ 1,x * y). [hyper(17,a,4650,a,b,5933,a)]. given #5043 (H,wt=15): 6024 T(x \ 1,y * x) = ((x \ 1) \ y) \ y. [hyper(228,a,4019,a(flip),b,6023,a)]. given #5044 (H,wt=17): 5939 (x * (y \ 1)) * (y / x) = K(y \ x,x \ y). [hyper(228,a,3300,a(flip),b,5643,a)]. given #5045 (H,wt=17): 5948 (x / (x / y)) \ (K(y \ x,y) * z) = y \ z. [hyper(77,a,5695,a)]. given #5046 (H,wt=15): 6028 (1 / x) / (y \ K(x,x \ 1)) = x \ y. [hyper(228,a,4901,a(flip),b,5948,a(flip)),flip(a)]. given #5047 (H,wt=15): 6029 (x \ y) \ (1 / x) = y \ K(x,x \ 1). [para(6028(a,1),64(a,1,1))]. given #5048 (H,wt=17): 5954 K(x \ y,x) * ((y / (y / x)) \ z) = x \ z. [hyper(374,a,5700,a),flip(a)]. given #5049 (H,wt=17): 5965 (x \ 1) * ((y * x) / y) = (T(x,y) \ 1) * x. [hyper(228,a,4828,a,b,5827,a(flip)),flip(a)]. given #5050 (H,wt=17): 6004 (T(x,y) \ z) * K(x,y) = T(x \ z,K(x,y)). [para(4977(a,1),5987(a,1,1)),flip(a)]. given #5051 (H,wt=17): 6005 (K(x,y) * K(x,z)) \ 1 = K(y,x) * K(z,x). [hyper(4900,a,5989,a)]. given #5052 (H,wt=17): 6006 x * (T(x,y) \ K(z,x)) = K(z,x) * K(y,x). [hyper(4725,a,5989,a)]. given #5053 (H,wt=17): 6007 T(x,y) * (x \ K(x,z)) = K(x,z) * K(x,y). [hyper(5723,a,5990,a)]. given #5054 (H,wt=17): 6015 (x / (y / z)) * K(z,z \ y) = x / (z \ y). [hyper(5064,a,5883,a)]. given #5055 (H,wt=17): 6016 (x * (y \ z)) / (z / y) = x * K(y \ z,y). [para(15(a,1),5883(a,1,1)),flip(a)]. given #5056 (H,wt=17): 6017 K(x,y) * T(y,x * y) != z | L(y,x,y) = z. [para(4066(a,2),5889(a,1,2))]. given #5057 (H,wt=17): 6021 K(x,y) * (K(x,z) * (y * x)) = T(x,z) * y. [para(4979(a,2),5921(a,1,2))]. given #5058 (H,wt=17): 6022 K(1 / x,(1 / x) \ y) = K(x \ 1,y * x). [hyper(5298,a,5931,a)]. given #5059 (H,wt=17): 6027 T((x \ y) \ 1,y) = (((x \ y) \ 1) \ x) \ x. [para(14(a,1),6024(a,1,2))]. given #5060 (H,wt=17): 6034 (x / (y / z)) * (z \ y) = x * K(z \ y,z). [hyper(228,a,1354,a(flip),b,6016,a(flip)),flip(a)]. given #5061 (H,wt=15): 6038 K(x,x \ y) / (y / x) = 1 / (x \ y). [hyper(72,a,4886,a(flip),b,6034,a),flip(a)]. given #5062 (H,wt=17): 6039 (x * (y / z)) * K(z \ y,z) = x * (z \ y). [para(15(a,1),6034(a,1,1)),flip(a)]. given #5063 (H,wt=17): 6040 (x * (y \ z)) * K(y,y \ z) = x * (z / y). [hyper(5064,a,6039,a)]. given #5064 (H,wt=17): 6042 (x / (y \ z)) * (z / y) = x * K(y,y \ z). [hyper(18,a,5066,a(flip),b,6039,a)]. given #5065 (H,wt=18): 4656 L(T(x,y),z,u) \ L(x,z,u) = K(y,L(x,z,u)). [para(40(a,2),4641(a,2,1)),flip(a)]. given #5066 (H,wt=18): 4657 R(T(x,y),z,u) \ R(x,z,u) = K(y,R(x,z,u)). [para(42(a,2),4641(a,2,1)),flip(a)]. given #5067 (H,wt=18): 4706 L(x,y,z) \ L(T(x,u),y,z) = K(L(x,y,z),u). [para(40(a,2),4649(a,2,2)),flip(a)]. given #5068 (H,wt=18): 4772 ((x * y) * K(y,z)) / T(y,z) = R(x,y,K(y,z)). [para(4705(a,2),30(a,2,2)),flip(a)]. given #5069 (H,wt=18): 4778 (x * K(y,z)) \ (x * T(y,z)) = L(y,K(y,z),x). [para(4705(a,2),3162(a,1,2,2))]. given #5070 (H,wt=8): 6048 L(x,K(x,y),z) = x. [hyper(5220,a,4778,a)]. given #5071 (H,wt=12): 6050 L(T(x,y),K(x,z),u) = T(x,y). [para(6048(a,1),40(a,2,1))]. given #5072 (H,wt=18): 4781 K(L(x,y,z),u) * L(x,y,z) = L(T(x,u),y,z). [hyper(228,a,40,a,b,4712,a(flip))]. given #5073 (H,wt=16): 6055 L(T(x,y),z,u) != w | T(L(x,z,u),y) = w. [para(4781(a,1),4713(a,1))]. given #5074 (H,wt=18): 4801 (x * y) \ (x * K(z,y)) = L(T(y,z) \ 1,y,x). [para(4647(a,2),28(a,2,2,2)),flip(a)]. given #5075 (H,wt=18): 4802 x \ K(y,x) != z * u | (T(x,y) \ 1) / u = z. [para(4647(a,2),438(a,1,2))]. given #5076 (H,wt=18): 4833 R(x * K(y,x),y,z) = ((y * x) * z) / (y * z). [para(4673(a,1),110(a,1,1))]. given #5077 (H,wt=18): 4835 R(x * K(y,x),y,y \ 1) = (y * x) * (y \ 1). [para(4673(a,1),495(a,1,1))]. given #5078 (H,wt=18): 4840 T(T(x * K(y,x),z),x * y) = L(T(x,z),y,x). [para(4673(a,1),891(a,1,1,1))]. given #5079 (H,wt=18): 4845 (x * K(y,x)) \ ((y * (x * y)) / y) = L(y,x,y). [para(4673(a,1),1547(a,2,1)),flip(a)]. given #5080 (H,wt=18): 4854 x * (y * K(z,y)) != u | x * ((z * y) / z) = u. [para(4693(a,2),302(a,1,2,2))]. given #5081 (H,wt=18): 4855 x * K(y,x) != z * u | z \ ((y * x) / y) = u. [para(4693(a,2),374(a,1,2))]. given #5082 (H,wt=18): 4877 K(x,(x * y) * (x \ 1)) = K(x,R(y,x,x \ 1)). [para(731(a,1),4871(a,1,2)),flip(a)]. given #5083 (H,wt=16): 6058 K(x,R(y,x,x \ 1)) = K(x,x \ (x * y)). [hyper(5423,a,4877,a),flip(a)]. given #5084 (H,wt=12): 6059 K(x,R(y,x,x \ 1)) = K(x,y). [para(13(a,1),6058(a,2,2))]. given #5085 (H,wt=14): 6060 K(x,y) = x \ T(x,R(y,x,x \ 1)). [hyper(4857,a,6059,a),flip(a)]. given #5086 (H,wt=18): 4934 (x * T(x \ y,z)) / y != u | K(y / x,z) = u. [para(3813(a,2),4773(a,1))]. given #5087 (H,wt=16): 6063 K((x / y) \ 1,z) != u | K(y / x,z) = u. [para(4951(a,1),4934(a,1))]. given #5088 (H,wt=18): 4940 K(x,(y * x) \ y) \ 1 != z | K(x \ 1,x) = z. [para(2441(a,2),4887(a,1,1))]. given #5089 (H,wt=18): 4943 K(x,L(T(y,x),z,u)) != w | K(x,L(y,z,u)) = w. [para(40(a,2),4888(a,1,2))]. given #5090 (H,wt=18): 4944 K(x,R(T(y,x),z,u)) != w | K(x,R(y,z,u)) = w. [para(42(a,2),4888(a,1,2))]. given #5091 (H,wt=18): 4957 K(x \ (x / y),x) \ x != z | T(x,y \ 1) = z. [para(4642(a,2),4684(a,1,1))]. given #5092 (H,wt=18): 5016 ((x * y) / x) * (y \ 1) != z | x \ T(x,y) = z. [para(4690(a,1),4857(a,1))]. given #5093 (H,wt=18): 5052 K(x,y) * (K(y,x) * z) != u * w | u \ z = w. [para(5035(a,1),301(a,1))]. given #5094 (H,wt=18): 5059 K(x,y) * z != u * w | u \ (K(y,x) \ z) = w. [para(5036(a,1),279(a,1,1))]. given #5095 (H,wt=18): 5086 K(x,y) * z != u | T(u * K(y,x),K(x,y)) = z. [para(5062(a,1),172(a,2))]. given #5096 (H,wt=18): 5090 T(K(x,y),z) * K(y,x) != u | K(K(x,y),z) = u. [para(5063(a,1),4784(a,1))]. given #5097 (H,wt=18): 5111 (x * y) \ K(x * y,y) = (L(y,x,y) * x) \ 1. [para(4050(a,1),4798(a,1,1)),flip(a)]. given #5098 (H,wt=18): 5222 x * T(y,z) != y * u | T(x * K(y,z),y) = u. [para(5177(a,1),172(a,2)),flip(a)]. given #5099 (H,wt=18): 5223 x \ (y * T(x,z)) != u | T(y * K(x,z),x) = u. [para(5177(a,1),285(a,1,2))]. given #5100 (H,wt=18): 5228 T(x * K(y,z),y) != u | y \ (x * T(y,z)) = u. [para(5178(a,1),647(a,1,1))]. given #5101 (H,wt=18): 5247 x * T(x \ y,z) != y * u | K(x \ y,z) = u. [para(5199(a,1),238(a,1)),flip(b)]. given #5102 (H,wt=18): 5250 (1 / x) * T(x,y) != z * u | K(x,y) / u = z. [para(5199(a,1),381(a,1))]. given #5103 (H,wt=18): 5265 x * K(y,z) != z * u | T(x / T(z,y),z) = u. [para(5204(a,1),1332(a,1))]. given #5104 (H,wt=18): 5288 x \ (y * K(z,x)) != u | T(y / T(x,z),x) = u. [para(5257(a,1),285(a,1,2))]. given #5105 (H,wt=18): 5305 K(x \ 1,x) * (y * K(x,x \ 1)) != z | z = y. [para(2341(a,1),5046(a,1,2))]. given #5106 (H,wt=18): 5307 (K(x,y) * K(y,z)) * K(y,x) != u | K(y,z) = u. [para(1757(a,1),5065(a,1,1)),flip(b)]. given #5107 (H,wt=18): 5311 1 / (K(x,y) * z) != u | (1 / z) * K(y,x) = u. [para(308(a,1),5067(a,1))]. given #5108 (H,wt=18): 5322 T(x,y \ x) * K(y \ 1,x) = L(x,y \ 1,x). [para(1713(a,1),5301(a,1,1))]. given #5109 (H,wt=18): 5339 x * T(x \ y,y) != y * z | K(y / x,y) = z. [para(4682(a,2),19(a,1))]. given #5110 (H,wt=18): 5380 K(x,(y \ 1) * (y * z)) = K(x,L(z,y,y \ 1)). [para(2918(a,1),5372(a,1,2)),flip(a)]. given #5111 (H,wt=18): 5400 T(T(x * K(x * y,x),z),y) = T(R(x,y,x),z). [para(5397(a,1),38(a,1,1)),flip(a)]. given #5112 (H,wt=18): 5401 T(x * K(y \ x,x),y \ 1) = R(x,y \ 1,x). [para(5330(a,1),5397(a,1,1,2))]. given #5113 (H,wt=18): 5420 L(K(x,y / z),u,u \ 1) = K(x,y * (z \ 1)). [hyper(228,a,5282,a,b,5415,a),flip(a)]. given #5114 (H,wt=17): 6073 K(x,K(y,z * (u \ 1))) = K(x,K(y,z / u)). [para(5420(a,1),5762(a,1,2))]. given #5115 (H,wt=17): 6074 T(x,K(y,z * (u \ 1))) = T(x,K(y,z / u)). [para(5420(a,1),5769(a,1,2))]. given #5116 (H,wt=17): 6075 K(x,K(y,z / (u \ 1))) = K(x,K(y,z * u)). [para(5376(a,1),6073(a,1,2)),flip(a)]. given #5117 (H,wt=17): 6076 K(x,K(y,z * (1 / u))) = K(x,K(y,z / u)). [para(5379(a,2),6073(a,1,2))]. given #5118 (H,wt=18): 5428 T(T(x,y),x * z) != u | T(T(x,y),z * x) = u. [para(4073(a,1),5427(a,1))]. given #5119 (H,wt=18): 5429 T(T(x,y),z * x) != u | T(T(x,x * z),y) = u. [para(4083(a,2),5427(a,1))]. given #5120 (H,wt=18): 5430 T(T(x,y),z) != u * T(x,z) | K(T(x,z),y) = u. [para(4782(a,1),20(a,1))]. given #5121 (H,wt=18): 5431 x * ((y * (x \ 1)) / y) != z | K(y,1 / x) = z. [para(4825(a,1),213(a,1,2)),flip(b)]. given #5122 (H,wt=18): 5432 x * (y * K(z,y)) != u | u / ((z * y) / z) = x. [para(4828(a,1),85(a,1))]. given #5123 (H,wt=18): 5438 K(x,(1 / x) * (y * x)) = K(x,L(y,x,x \ 1)). [para(2994(a,1),4873(a,1,2))]. given #5124 (H,wt=18): 5459 K(x,y) * T(x,z) != K(x,z) * u | T(x,y) = u. [para(5002(a,2),3166(a,1))]. given #5125 (H,wt=18): 5460 K(x,y) * T(x,z) != u | K(x,z) * T(x,y) = u. [para(5002(a,2),3167(a,1))]. given #5126 (H,wt=18): 5461 (x / y) * y != z * K(u,w) | x * K(w,u) = z. [para(5066(a,2),20(a,1))]. given #5127 (H,wt=18): 5462 T(x * K(y,z),K(z,y)) != u | K(y,z) * x = u. [para(5080(a,2),5072(a,1))]. given #5128 (H,wt=18): 5474 x * (K(y,x) * (x \ z)) != u | K(y,x) * z = u. [para(5164(a,1),302(a,1))]. given #5129 (H,wt=18): 5481 T(x,y) \ T(x,z) != u | K(y,x) * K(x,z) = u. [para(5170(a,1),283(a,1,1)),flip(b)]. given #5130 (H,wt=18): 5498 x \ (y * T(y \ x,z)) != u | K(y \ x,z) = u. [para(5241(a,2),284(a,1,2)),flip(b)]. given #5131 (H,wt=18): 5503 x * K(y \ x,z) != u * x | K(x / y,z) = u. [para(5495(a,1),174(a,1,2)),flip(b)]. given #5132 (H,wt=18): 5504 (x * y) * K(y,z) != u * y | x * K(y,z) = u. [para(5242(a,1),20(a,1))]. given #5133 (H,wt=18): 5519 ((x * y) * z) / (y * z) = R(x,T(y,z),T(z,y)). [hyper(72,a,5263,a(flip),b,3931,a)]. given #5134 (H,wt=16): 6082 R(x,T(y,z),T(z,y)) != u | R(x,y,z) = u. [para(5519(a,1),489(a,1))]. given #5135 (H,wt=18): 5520 (x * K(y,z)) / y != u | (x / y) * K(y,z) = u. [para(5277(a,1),293(a,1,2)),flip(b)]. given #5136 (H,wt=18): 5661 x \ T(x * y,x) != z | y * K(x * y,x) = z. [para(5522(a,1),284(a,1,2)),flip(b)]. given #5137 (H,wt=18): 5672 (x * K(y,x)) \ z != u | K(x,y) * (x \ z) = u. [para(5580(a,1),283(a,1,1)),flip(b)]. given #5138 (H,wt=18): 5683 T(x \ y,y \ x) != z | ((x \ y) \ 1) \ 1 = z. [para(5675(a,1),648(a,1))]. given #5139 (H,wt=18): 5707 x \ ((x * K(y,x)) * z) != u | K(y,x) * z = u. [para(5701(a,2),284(a,1,2)),flip(b)]. given #5140 (H,wt=18): 5710 K(x / y,z) \ y != u | T(x / y,z) \ x = u. [para(64(a,1),4724(a,1,2))]. given #5141 (H,wt=18): 5711 ((x * y) / x) \ y != z * u | z \ K(y,x) = u. [para(3576(a,2),4732(a,1))]. given #5142 (H,wt=18): 5720 x * T(x \ y,z) != u | K(y / x,z) * y = u. [para(4208(a,2),5013(a,1))]. given #5143 (H,wt=18): 5721 ((x * y) / x) \ (y * z) != u | K(y,x) * z = u. [para(4090(a,2),5031(a,1))]. given #5144 (H,wt=18): 5724 K(x,y) * (z * x) != u | T(x,y) * T(z,x) = u. [para(113(a,1),5095(a,1,2))]. given #5145 (H,wt=18): 5737 x * K(y,x \ z) != u | z / T(x \ z,y) = u. [para(61(a,1),5280(a,1,1))]. given #5146 (H,wt=18): 5768 T(x,T(y,z) \ 1) != u | T(x,(y * z) \ z) = u. [para(32(a,2),5676(a,1,2,1))]. given #5147 (H,wt=18): 5771 (T(x,y) \ x) * z != u | T(y,x) * (y \ z) = u. [para(4641(a,1),5723(a,1,1))]. given #5148 (H,wt=18): 5775 x \ R(x,x \ y,x) = K(y,x) * K(x,x \ y). [para(14(a,1),5740(a,1,1,1)),flip(a)]. given #5149 (H,wt=18): 5788 K(T(x,y) \ 1,z) != u | K((x * y) \ y,z) = u. [para(32(a,2),5782(a,1,1,1))]. given #5150 (H,wt=18): 5794 K(x / y,y / x) != z | K(y \ x,x \ y) = z. [para(3301(a,1),5789(a,1))]. given #5151 (H,wt=18): 5799 K(x,((y \ 1) \ 1) \ z) != u | K(x,y \ z) = u. [para(5548(a,2),5792(a,1))]. given #5152 (H,wt=18): 5802 K(x,x \ 1) != y | K((x \ z) \ z,x \ 1) = y. [para(2338(a,1),5795(a,1))]. given #5153 (H,wt=18): 5803 K((1 / x) \ y,z) != u | K((x \ 1) \ y,z) = u. [para(5634(a,2),5800(a,1))]. given #5154 (H,wt=18): 5826 T(x,y * (1 / z)) != u | T(x,y * (z \ 1)) = u. [para(4764(a,1),4708(a,1))]. given #5155 (H,wt=18): 5854 T(K(x \ 1,y),z) != u | K(T(x,z) \ 1,y) = u. [para(4968(a,1),4929(a,1))]. given #5156 (H,wt=18): 5983 T(T(x,K(y,z)),K(z,y) * x) = L(x,K(z,y),x). [para(5975(a,1),4848(a,1,1))]. given #5157 (H,wt=18): 5984 K(x,y) * z != u * K(x,y) | T(z,K(y,x)) = u. [para(5980(a,1),174(a,1,2)),flip(b)]. given #5158 (H,wt=18): 5991 K(x,y) * K(x,z) != u | K(x,z) * K(x,y) = u. [para(5986(a,1),219(a,1,2))]. given #5159 (H,wt=18): 5994 T(K(x,y) * z,K(x,y)) != u | z * K(x,y) = u. [para(5079(a,1),5982(a,1,1)),flip(b)]. given #5160 (H,wt=18): 6001 T(K(x,y),z) * K(y,x) != u | K(z,K(y,x)) = u. [para(5971(a,1),5065(a,1,1)),flip(b)]. given #5161 (H,wt=18): 6053 L(L(T(x,y),z,u),K(x,w),v5) = L(T(x,y),z,u). [para(6050(a,1),45(a,1,1)),flip(a)]. given #5162 (H,wt=18): 6061 K(x,y) = R(y,x,x \ 1) \ ((x * y) * (x \ 1)). [hyper(228,a,3566,a,b,6060,a)]. given #5163 (H,wt=18): 6072 T(T(x * K(x * y,x),z),y) = R(T(x,z),y,x). [hyper(228,a,42,a,b,5400,a)]. given #5164 (H,wt=18): 6086 K(x,(y \ 1) \ z) != u | K(x,(1 / y) \ z) = u. [para(64(a,1),5799(a,1,2,1,1))]. given #5165 (H,wt=18): 6091 T(x,K(y,z)) != u | (K(z,y) * x) * K(y,z) = u. [para(5042(a,1),5994(a,1,1))]. given #5166 (H,wt=18): 6092 R(x,y,y \ 1) * K(y,x) = (y * x) * (y \ 1). [para(6061(a,2),14(a,1,2))]. given #5167 (H,wt=18): 6093 K(x,y) * ((y * x) * (y \ 1)) = R(x,y,y \ 1). [para(6092(a,1),5074(a,1,2))]. given #5168 (H,wt=19): 4622 x \ (y \ (1 / ((y \ 1) / x))) = K(x \ (y \ 1),x). [para(304(a,1),4617(a,1,2))]. given #5169 (H,wt=19): 4626 x \ K((x \ 1) \ y,x \ 1) = y / (y / (x \ 1)). [hyper(228,a,2527,a(flip),b,4621,a),flip(a)]. given #5170 (H,wt=17): 6095 x \ K(x * y,x \ 1) = y / (y / (x \ 1)). [para(4121(a,1),4626(a,1,2))]. given #5171 (H,wt=17): 6096 (x \ K(x * y,x \ 1)) \ y = y / (x \ 1). [para(6095(a,2),64(a,1,1))]. given #5172 (H,wt=19): 4688 L(x \ T(x,y \ 1),z,u) = K(x,L(y,z,u) \ 1). [hyper(228,a,3651,a,b,4649,a),flip(a)]. given #5173 (H,wt=17): 6097 L(K(x,y \ 1),z,u) = K(x,L(y,z,u) \ 1). [para(4649(a,2),4688(a,1,1))]. given #5174 (H,wt=14): 6099 K(x,L(x,y,z) \ 1) = K(x,x \ 1). [hyper(228,a,4387,a(flip),b,6097,a(flip))]. given #5175 (H,wt=17): 6100 K(x,L(1 / y,z,u) \ 1) = L(K(x,y),z,u). [para(64(a,1),6097(a,1,1,2)),flip(a)]. given #5176 (H,wt=17): 6101 K(x,L(y \ 1,z,u) \ 1) = L(K(x,y),z,u). [para(3236(a,1),6097(a,1,1)),flip(a)]. given #5177 (H,wt=17): 6104 L(K(x,1 / y),z,u) = K(x,1 / L(y,z,u)). [para(2770(a,1),6100(a,1,2)),flip(a)]. given #5178 (H,wt=19): 4753 (x * K(y,x)) * ((y \ 1) \ 1) = ((y \ 1) \ 1) * x. [para(4674(a,1),3107(a,1,2)),flip(a)]. given #5179 (H,wt=19): 4780 (K(x,y) / R(x,z,u)) * x = T(x,y) / R(x,z,u). [hyper(72,a,4712,a,b,1664,a),flip(a)]. given #5180 (H,wt=19): 4821 T(x * y,z) / (y * x) = (y * x) \ T(x * y,z). [para(4671(a,1),4474(a,1,1,1))]. given #5181 (H,wt=19): 4827 T(x,y) \ ((z * x) / z) = x * (T(x,y) \ K(z,x)). [hyper(71,a,4673,a,b,1054,a)]. given #5182 (H,wt=17): 6112 T(x,y) \ ((z * x) / z) = K(z,x) * K(y,x). [hyper(228,a,6006,a(flip),b,4827,a)]. given #5183 (H,wt=19): 4843 (x * y) / ((z * y) / z) = (x / (y * K(z,y))) * y. [para(4673(a,1),1422(a,2,1,2))]. given #5184 (H,wt=19): 4949 R(x * T(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). [hyper(2258,a,4642,a)]. given #5185 (H,wt=17): 6117 R(K(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). [para(4650(a,1),4949(a,1,1))]. given #5186 (H,wt=14): 6119 K(R(x,y,z) \ 1,y) = K(x \ 1,y). [hyper(228,a,5702,a(flip),b,6117,a(flip))]. given #5187 (H,wt=17): 6118 K(R(1 / x,y,z) \ 1,u) = R(K(x,u),y,z). [para(4695(a,2),4949(a,1,1)),flip(a)]. given #5188 (H,wt=17): 6122 K(R(x \ 1,y,z) \ 1,u) = R(K(x,u),y,z). [para(2857(a,1),6117(a,1,1)),flip(a)]. given #5189 (H,wt=19): 4950 L(x * T(x \ 1,y),z,u) = K(L(x,z,u) \ 1,y). [hyper(228,a,2250,a,b,4642,a(flip)),flip(a)]. given #5190 (H,wt=17): 6126 L(K(x \ 1,y),z,u) = K(L(x,z,u) \ 1,y). [para(4650(a,1),4950(a,1,1))]. given #5191 (H,wt=17): 6127 L(K(1 / x,y),z,u) = K(L(x,z,u) \ 1,y). [para(4699(a,1),4950(a,1,1))]. given #5192 (H,wt=17): 6128 K(L(1 / x,y,z) \ 1,u) = L(K(x,u),y,z). [para(4695(a,2),4950(a,1,1)),flip(a)]. given #5193 (H,wt=17): 6132 K(L(x \ 1,y,z) \ 1,u) = L(K(x,u),y,z). [para(2857(a,1),6126(a,1,1)),flip(a)]. given #5194 (H,wt=17): 6136 L(K(1 / x,y),z,u) = K(1 / L(x,z,u),y). [hyper(228,a,2853,a,b,6127,a)]. given #5195 (H,wt=17): 6137 K(1 / L(1 / x,y,z),u) = L(K(x,u),y,z). [hyper(5298,a,6128,a)]. given #5196 (H,wt=19): 4958 x * (y * T(y \ (x \ 1),z)) = K((x * y) \ 1,z). [hyper(872,a,4650,a)]. given #5197 (H,wt=17): 6141 x * ((y \ (x \ 1)) * y) = K((x * y) \ 1,y). [para(113(a,1),4958(a,1,2))]. given #5198 (H,wt=19): 4961 (x * y) * T((x * y) \ x,z) = x * K(y \ 1,z). [para(4650(a,1),692(a,2,2))]. given #5199 (H,wt=19): 4963 ((x * y) \ x) * (x * y) = x * K(y \ 1,x * y). [para(4650(a,1),880(a,2,2))]. given #5200 (H,wt=19): 4964 K(x \ 1,y) * (x \ z) = z * T(z \ (x \ z),y). [para(4650(a,1),1167(a,1,1))]. given #5201 (H,wt=19): 4965 x * (y * T(y \ (x \ y),z)) = K(x \ 1,z) * y. [para(4650(a,1),1311(a,2,1))]. given #5202 (H,wt=19): 4971 K(x \ (x / L(y,z,u)),x) = L(K(y \ 1,x),z,u). [para(4650(a,1),2250(a,1,1)),flip(a)]. given #5203 (H,wt=19): 4975 (K(x,y) * z) \ (T(x,y) * z) = T(x,K(x,y) * z). [hyper(171,a,4675,a,b,14,a),flip(a)]. given #5204 (H,wt=19): 4989 T(x,y) * (x \ R(x,z,u)) = R(x,z,u) * K(x,y). [hyper(228,a,3160,a,b,4676,a)]. given #5205 (H,wt=19): 4993 (x \ L(x,y,z)) * T(x,u) = K(x,u) * L(x,y,z). [hyper(228,a,4601,a(flip),b,4676,a(flip)),flip(a)]. given #5206 (H,wt=19): 5006 K((x / y) / (y \ 1),z) = (T(x,z) / y) / (x / y). [hyper(72,a,4358,a(flip),b,4680,a(flip)),flip(a)]. given #5207 (H,wt=19): 5021 x \ (y * ((z * (y \ x)) / z)) = K(z,1 / (x \ y)). [hyper(228,a,3604,a,b,4704,a(flip)),flip(a)]. given #5208 (H,wt=19): 5043 K(x,y) \ T(T(x,z),u) = T(T(x,z),u) * K(y,x). [hyper(228,a,2509,a,b,5035,a)]. given #5209 (H,wt=19): 5061 (((x \ y) \ y) * K(z,u)) \ T(x,x \ y) = K(u,z). [hyper(624,a,5037,a)]. given #5210 (H,wt=19): 5097 T(x * (y / x),z) / T(y,z) = K(x,x \ T(y,z)). [hyper(72,a,4453,a,b,4723,a)]. given #5211 (H,wt=19): 5141 K(((x / y) \ 1) \ y,(x / y) \ 1) = K(x,x \ y). [hyper(3643,a,4914,a)]. given #5212 (H,wt=19): 5226 ((x * K(y,z)) * K(u,y)) \ (x * T(y,z)) = T(y,u). [para(5177(a,1),5151(a,1,2))]. given #5213 (H,wt=19): 5240 (1 / x) \ L(K(y,z),u,w) = x * L(K(y,z),u,w). [para(5187(a,1),1133(a,1,2,1)),flip(a)]. given #5214 (H,wt=19): 5289 ((x * y) \ y) * (x * y) = y * K(x \ 1,x * y). [para(3882(a,1),5257(a,1,1))]. given #5215 (H,wt=19): 5331 K(((x * y) / x) \ z,z) = K(z * (y \ K(y,x)),z). [para(4798(a,1),5330(a,1,1,2)),flip(a)]. given #5216 (H,wt=19): 5358 K(((1 / x) * y) \ z,u) = K(((x \ 1) * y) \ z,u). [para(4371(a,1),5344(a,1,1))]. given #5217 (H,wt=19): 5361 (x * ((y * (x \ z)) / y)) / z = K(y,(x / z) \ 1). [hyper(228,a,2197,a(flip),b,4692,a(flip)),flip(a)]. given #5218 (H,wt=19): 5365 x * K(y,(x \ z) \ 1) = z * ((y * (z \ x)) / y). [para(4692(a,1),1743(a,1,2))]. given #5219 (H,wt=17): 6155 x * K(y,z \ x) = z * ((y * (z \ x)) / y). [para(5558(a,1),5365(a,1,2))]. given #5220 (H,wt=19): 5390 K(x,y * ((1 / z) \ u)) = K(x,y * ((z \ 1) \ u)). [para(4442(a,1),5374(a,1,2)),flip(a)]. given #5221 (H,wt=19): 5392 K(x,((1 / y) * z) \ u) = K(x,((y \ 1) * z) \ u). [para(4371(a,1),5378(a,1,2))]. given #5222 (H,wt=17): 6158 K(x,((y \ 1) * z) \ u) = K(x,(z \ y) * u). [hyper(228,a,5544,a(flip),b,5392,a(flip))]. given #5223 (H,wt=19): 5419 K(x * y,x \ 1) * ((x * y) \ y) = y / (x * y). [para(5413(a,1),4738(a,1,1))]. given #5224 (H,wt=19): 5466 (((x \ (y / z)) * x) * z) \ y = K(x,(x * z) \ y). [para(1049(a,1),5155(a,1,1))]. given #5225 (H,wt=19): 5479 K(x,(y \ z) / (y \ 1)) * (y \ T(z,x)) = y \ z. [para(921(a,1),5169(a,1,2))]. given #5226 (H,wt=19): 5484 x \ (y \ ((z \ (y * x)) * z)) = K((y \ z) \ x,z). [para(893(a,1),5198(a,1,2))]. given #5227 (H,wt=19): 5485 x \ (((y \ (x * z)) * y) / z) = K((y / z) \ x,y). [para(1468(a,1),5198(a,1,2))]. given #5228 (H,wt=19): 5491 (x \ y) * K((x \ 1) \ (x \ y),z) = x \ T(y,z). [hyper(4510,a,5241,a),flip(a)]. given #5229 (H,wt=19): 5499 (x * K(y \ x,z)) * (y \ 1) = T(x * (y \ 1),z). [para(5241(a,1),955(a,1,1))]. given #5230 (H,wt=19): 5526 x / (((y \ (x / z)) * y) * z) = K(y,x / (y * z)). [para(1049(a,1),5338(a,1,2))]. given #5231 (H,wt=19): 5527 x / (((y \ (x * z)) * y) / z) = K(y,x / (y / z)). [para(1468(a,1),5338(a,1,2))]. given #5232 (H,wt=19): 5536 K(x,y / (z * K(u,w))) = K(x,y * (K(w,u) / z)). [para(4898(a,1),5532(a,1,2,2)),flip(a)]. given #5233 (H,wt=17): 6165 K(x,y * (K(z \ 1,z) / u)) = K(x,y / u). [hyper(228,a,5394,a(flip),b,5536,a(flip))]. given #5234 (H,wt=19): 5546 K(x,(K(y,z) * u) \ w) = K(x,(u \ K(z,y)) * w). [para(4893(a,1),5543(a,1,2,1)),flip(a)]. given #5235 (H,wt=19): 5549 (x \ 1) \ (x \ K(y,z * u)) = K(y,(z \ 1) \ u). [hyper(228,a,5132,a,b,5548,a),flip(a)]. given #5236 (H,wt=16): 6168 K(x,(y \ 1) \ z) != u | K(x,y * z) = u. [para(5549(a,1),5191(a,1))]. given #5237 (H,wt=16): 6170 K(x,y / z) != u | K(x,y * (z \ 1)) = u. [para(3256(a,1),6168(a,1))]. given #5238 (H,wt=16): 6171 K(x,(1 / y) \ z) != u | K(x,y * z) = u. [para(5383(a,2),6168(a,1))]. given #5239 (H,wt=16): 6172 K(x,y / (z \ 1)) != u | K(x,y * z) = u. [para(317(a,2),6171(a,1,2))]. given #5240 (H,wt=16): 6175 K(x,(y \ 1) \ x) != z | K(x,x * y) = z. [para(5108(a,1),6172(a,1))]. given #5241 (H,wt=14): 6177 K(x,y * x) != z | K(x,x * y) = z. [para(5541(a,1),6175(a,1))]. given #5242 (H,wt=18): 6176 K(x,((y \ 1) / z) \ 1) != u | K(x,z * y) = u. [para(5410(a,2),6172(a,1))]. given #5243 (H,wt=19): 5550 (1 / x) \ K(y,z * u) = x * K(y,(z \ 1) \ u). [hyper(71,a,5548,a(flip),b,5232,a)]. given #5244 (H,wt=19): 5554 K(x,(y * K(z,u)) \ w) = K(x,(K(u,z) / y) * w). [para(4896(a,1),5548(a,1,2,1))]. given #5245 (H,wt=19): 5574 (x * y) * (x / (x * y)) = x * K(x * y,y \ 1). [para(5562(a,1),4915(a,1,2)),flip(a)]. given #5246 (H,wt=19): 5612 K((x \ y) \ 1,(z \ u) \ 1) = K(y \ x,u \ z). [hyper(228,a,5558,a(flip),b,5601,a)]. given #5247 (H,wt=19): 5646 K(x / (K(y,z) * u),w) = K(x * (u \ K(z,y)),w). [para(4893(a,1),5633(a,1,1,2)),flip(a)]. given #5248 (H,wt=19): 5651 ((x \ 1) \ y) * K(x * y,z) = T((x \ 1) \ y,z). [para(5637(a,1),4705(a,2,2)),flip(a)]. given #5249 (H,wt=19): 5655 ((1 / x) \ y) * (1 / x) = y * K(y * x,1 / x). [para(5644(a,1),4920(a,1,2)),flip(a)]. given #5250 (H,wt=19): 5684 1 / (x * T(y \ z,z \ y)) = (y \ z) \ (1 / x). [para(5675(a,1),630(a,1,2,2))]. given #5251 (H,wt=19): 5694 K((1 / (1 / x)) * y,1 / x) = K(y * x,1 / x). [hyper(228,a,5342,a(flip),b,5656,a)]. given #5252 (H,wt=15): 6181 K((x \ y) * x,1 / x) = K(y,1 / x). [hyper(228,a,5354,a(flip),b,5694,a(flip))]. given #5253 (H,wt=19): 5696 x * (K(y,x) * K(y * x,y)) = T(y * x,y) / y. [hyper(228,a,5267,a(flip),b,5663,a(flip))]. given #5254 (H,wt=16): 6182 x * (y \ R(y,x,y)) = T(y * x,y) / y. [para(5325(a,1),5696(a,1,2))]. given #5255 (H,wt=19): 5705 T(x,x \ ((x \ y) \ 1)) = 1 / (x \ K(y \ 1,x)). [para(5693(a,1),4806(a,2,2,2))]. given #5256 (H,wt=15): 6184 T(x,x \ ((x \ y) \ 1)) = T(x,y \ 1). [hyper(228,a,4806,a,b,5705,a)]. given #5257 (H,wt=15): 6185 T(x,(x * y) \ 1) = T(x,x \ (y \ 1)). [para(13(a,1),6184(a,1,2,2,1)),flip(a)]. given #5258 (H,wt=15): 6187 T(x,y \ (x \ 1)) = T(x,x \ (y \ 1)). [para(118(a,1),6185(a,1,2))]. given #5259 (H,wt=17): 6188 T(x,x \ (((x \ 1) * y) \ 1)) = T(x,y \ 1). [hyper(228,a,5679,a(flip),b,6187,a(flip))]. given #5260 (H,wt=19): 5708 (T(x,y) * K(z,x)) * u = T(x,y) * (K(z,x) * u). [para(5706(a,1),481(a,1,1,1)),flip(a)]. given #5261 (H,wt=19): 5719 x \ R(x,y,x) != z | K(x,y) * K(x * y,x) = z. [para(5303(a,1),4985(a,1,2))]. given #5262 (H,wt=19): 5742 x \ R(x,y,x) != z | K(x * y,x) * K(x,y) = z. [para(5325(a,1),1759(a,1))]. given #5263 (H,wt=19): 5841 x \ T(x * y,z) = y * K((y \ (x \ 1)) \ 1,z). [hyper(950,a,4954,a)]. given #5264 (H,wt=19): 5843 (x * y) * K(((x * y) \ y) \ 1,z) = T(x,z) * y. [hyper(695,a,4954,a),flip(a)]. given #5265 (H,wt=19): 5847 T(x * y,z) / y = K(((1 / y) / x) \ 1,z) * x. [hyper(228,a,929,a(flip),b,4956,a),flip(a)]. given #5266 (H,wt=19): 5851 K((x / (x * y)) \ 1,z) * (x * y) = x * T(y,z). [para(13(a,1),4956(a,2,2,1))]. given #5267 (H,wt=19): 5868 K(1 / ((1 / x) / y),z) = (T(y * x,z) / x) / y. [para(929(a,1),5018(a,1,1)),flip(a)]. given #5268 (H,wt=19): 5886 T(x * y,K(y,z)) / y = T((y * x) / y,T(y,z)). [hyper(72,a,5885,a,b,410,a)]. given #5269 (H,wt=19): 5890 K(x \ (y * ((z \ 1) \ 1)),u) = K(x \ (y * z),u). [para(2894(a,1),5350(a,1,1,2))]. given #5270 (H,wt=19): 5892 K(x \ (y * (((y \ z) \ 1) \ 1)),u) = K(x \ z,u). [para(3303(a,1),5350(a,1,1,2))]. given #5271 (H,wt=19): 5893 K((((x \ 1) \ 1) \ y) \ z,u) = K((x \ y) \ z,u). [para(3473(a,1),5351(a,1,1))]. given #5272 (H,wt=19): 5895 K(((1 / x) / y) \ z,u) = K(((x \ 1) / y) \ z,u). [para(3436(a,1),5357(a,1,1,1))]. given #5273 (H,wt=19): 5897 K(x,y \ ((1 / z) * u)) = K(x,y \ ((z \ 1) * u)). [para(3025(a,1),5385(a,1,2,2))]. given #5274 (H,wt=19): 5899 K(x,(y / (1 / (1 / z))) * u) = K(x,(y / z) * u). [para(4445(a,1),5387(a,1,2))]. given #5275 (H,wt=19): 5900 K(x,T((1 / y) * z,u)) = K(x,T((y \ 1) * z,u)). [para(3026(a,1),5389(a,1,2,1))]. given #5276 (H,wt=19): 5901 K(x,(y * (1 / z)) \ u) = K(x,(y * (z \ 1)) \ u). [para(2932(a,1),5391(a,1,2,1))]. given #5277 (H,wt=17): 6196 K(x,(y * (1 / z)) \ u) = K(x,(z / y) * u). [hyper(228,a,5552,a(flip),b,5901,a)]. given #5278 (H,wt=17): 6197 K(x,(y * (1 / (z * y))) \ u) = K(x,z * u). [para(15(a,1),6196(a,2,2,1))]. given #5279 (H,wt=19): 5903 K(x,y / T(1 / z,u)) = K(x,y / T(z \ 1,u)). [para(3010(a,1),5393(a,1,2,2))]. given #5280 (H,wt=19): 5909 T(x,y) \ T(z / (z / x),y) = K(x \ z,T(x,y)). [para(4621(a,2),5404(a,1,2,1))]. given #5281 (H,wt=19): 5923 T(x,y) / (z \ x) = z * K(((z \ x) \ 1) \ z,y). [hyper(4508,a,5492,a)]. given #5282 (H,wt=19): 5924 T(x * K((y \ 1) \ x,z),y) = y \ T(x * y,z). [para(5492(a,1),4472(a,1,1))]. given #5283 (H,wt=19): 5936 K(x,(T(y,z) * (y \ u)) \ 1) = K(x,u \ K(z,y)). [para(4676(a,2),5570(a,1,2,1))]. given #5284 (H,wt=19): 5937 K(x,(y \ z) \ K(u,y)) = K(x,z \ (y * K(u,y))). [para(5581(a,1),5558(a,1,2))]. given #5285 (H,wt=19): 5942 K(x,y * K(y * z,y \ 1)) = T(K(x,y),z * y). [para(5941(a,1),5818(a,1,2,2))]. given #5286 (H,wt=15): 6199 T(K(x,y),z * y) = T(K(x,y),y * z). [hyper(228,a,5818,a(flip),b,5942,a(flip))]. given #5287 (H,wt=19): 5952 (x \ y) * (T(x,x \ y) * z) = (y / x) * (x * z). [para(4720(a,1),5698(a,1,2))]. given #5288 (H,wt=19): 5964 K(x,(y / z) \ 1) * z = z * K(x,(z \ y) \ 1). [para(115(a,1),5811(a,1,2,2,1)),flip(a)]. given #5289 (H,wt=17): 6204 x * K(y,(x \ z) \ 1) = K(y,x / z) * x. [para(5410(a,1),5964(a,1,1)),flip(a)]. given #5290 (H,wt=15): 6205 T(K(x,y / z),y) = K(x,(y \ z) \ 1). [hyper(172,a,6204,a)]. given #5291 (H,wt=13): 6208 T(K(x,y / z),y) = K(x,z \ y). [hyper(228,a,5558,a(flip),b,6205,a)]. given #5292 (H,wt=13): 6211 K(x,(y \ z) \ z) = T(K(x,y),z). [para(61(a,1),6208(a,1,1,2)),flip(a)]. given #5293 (H,wt=13): 6214 K(x,T(y,y \ z)) = T(K(x,y),z). [para(114(a,2),6211(a,1,2))]. given #5294 (H,wt=13): 6215 T(K(x,T(y,z)),y) = K(x,T(y,z)). [para(2490(a,1),6211(a,1,2)),flip(a)]. given #5295 (H,wt=9): 6221 T(x,K(y,T(x,z))) = x. [hyper(35,a,6215,a)]. given #5296 (H,wt=13): 6216 K(x,T(y,z / y)) = T(K(x,y),z). [para(3968(a,2),6211(a,1,2))]. given #5297 (H,wt=13): 6217 T(K(x,y),z * y) = K(x,T(y,z)). [para(3959(a,2),6211(a,1,2)),flip(a)]. given #5298 (H,wt=13): 6219 T(K(x,y),y * z) = K(x,T(y,z)). [para(13(a,1),6214(a,1,2,2)),flip(a)]. given #5299 (H,wt=14): 6218 K(x,(y \ 1) \ 1) != z | K(x,y) = z. [para(6211(a,2),5997(a,1)),flip(b)]. given #5300 (H,wt=14): 6220 K(x,T(y,y \ 1)) != z | K(x,y) = z. [para(6214(a,2),5997(a,1)),flip(b)]. given #5301 (H,wt=15): 6207 K(x,y / z) * y = y * K(x,z \ y). [para(5558(a,1),6204(a,1,2)),flip(a)]. given #5302 (H,wt=15): 6210 K(x,T(x,y) / z) = K(x,z \ T(x,y)). [hyper(228,a,3165,a(flip),b,6208,a(flip)),flip(a)]. given #5303 (H,wt=15): 6222 K(x,T(y,z)) * y = y * K(x,T(y,z)). [para(6215(a,1),113(a,1,2)),flip(a)]. given #5304 (H,wt=16): 6209 T(K(x,y / z),y) != u | K(x,z \ y) = u. [para(6205(a,2),5671(a,1))]. given #5305 (H,wt=14): 6229 K(x,x / y) != z | K(x,y \ x) = z. [para(3150(a,1),6209(a,1))]. given #5306 (H,wt=16): 6225 K(x * y,T(x,y)) != z | K(x * y,x) = z. [para(6219(a,1),4935(a,1))]. given #5307 (H,wt=17): 6224 (x * y) * K(z,T(x,y)) = K(z,x) * (x * y). [para(6219(a,1),113(a,1,2))]. given #5308 (H,wt=17): 6226 K(x,y) * K(y,T(x,z)) = K(x * z,K(x,y)). [para(6219(a,1),5970(a,1,2))]. given #5309 (H,wt=17): 6227 K(x,R(x,y,z) / u) = K(x,u \ R(x,y,z)). [hyper(18,a,3160,a(flip),b,6207,a)]. given #5310 (H,wt=18): 6212 x * K(y,z \ x) != u * x | K(y,x / z) = u. [para(6208(a,1),174(a,1,2)),flip(b)]. given #5311 (H,wt=18): 6213 T(x,K(y,z \ x)) != u | T(x,K(y,x / z)) = u. [para(6208(a,1),3999(a,1,2))]. given #5312 (H,wt=19): 5977 K(x,K(y,z)) * (K(z,y) * u) = T(K(z,y),x) * u. [para(5972(a,1),4720(a,1,1))]. given #5313 (H,wt=19): 6013 ((x \ 1) \ (y \ 1)) * y = y * (((y \ x) \ 1) \ 1). [para(5865(a,1),113(a,1,2)),flip(a)]. given #5314 (H,wt=19): 6030 x \ K(x / y,(x / y) \ 1) = y \ (1 / (x / y)). [para(64(a,1),6029(a,1,1)),flip(a)]. given #5315 (H,wt=17): 6233 x \ K(y \ x,x \ y) = y \ (1 / (x / y)). [para(3298(a,1),6030(a,1,2))]. given #5316 (H,wt=19): 6037 (1 / x) * (y / (1 / x)) = y * K(x \ 1,y * x). [para(6022(a,1),4915(a,1,2)),flip(a)]. given #5317 (H,wt=19): 6043 (x * (y \ z)) * T(y,y \ z) = (x * (z / y)) * y. [para(6039(a,1),5203(a,1,1))]. given #5318 (H,wt=19): 6094 x \ (y \ (1 / (y \ (1 / x)))) = K(x \ (y \ 1),x). [para(304(a,1),4622(a,1,2,2,2))]. given #5319 (H,wt=19): 6102 K(x,L(K(y,z),u,w) \ 1) = L(K(x,K(z,y)),u,w). [para(4879(a,1),6097(a,1,1,2)),flip(a)]. given #5320 (H,wt=19): 6103 K(x,L(y \ z,u,w) \ 1) = L(K(x,z \ y),u,w). [para(5558(a,1),6097(a,1,1)),flip(a)]. given #5321 (H,wt=19): 6110 (K(x,y) / R(x,z,u)) * x = R(x,z,u) \ T(x,y). [hyper(228,a,4482,a(flip),b,4780,a)]. given #5322 (H,wt=19): 6111 ((x * y) \ T(y * x,z)) * (x * y) = T(y * x,z). [para(4821(a,1),16(a,1,1))]. given #5323 (H,wt=19): 6115 (x * y) / (y * K(z,y)) = (x / (y * K(z,y))) * y. [para(4673(a,1),4843(a,1,2))]. given #5324 (H,wt=19): 6133 K(L(K(x,y),z,u) \ 1,w) = L(K(K(y,x),w),z,u). [para(4879(a,1),6126(a,1,1,1)),flip(a)]. given #5325 (H,wt=19): 6134 K(L(x \ y,z,u) \ 1,w) = L(K(y \ x,w),z,u). [para(5601(a,1),6126(a,1,1)),flip(a)]. given #5326 (H,wt=19): 6138 K(x,L(y \ 1,z,u) \ 1) = L(K(y,x),z,u) \ 1. [para(6132(a,1),4879(a,1,1)),flip(a)]. given #5327 (H,wt=15): 6239 L(K(x,y),z,u) \ 1 = L(K(y,x),z,u). [hyper(228,a,6101,a(flip),b,6138,a(flip))]. given #5328 (H,wt=15): 6240 1 / L(K(x,y),z,u) = L(K(y,x),z,u). [para(6239(a,1),61(a,1,2))]. given #5329 (H,wt=17): 6242 L(K(x,K(y,z)),u,w) = K(x,L(K(y,z),u,w)). [para(6239(a,1),6102(a,1,2)),flip(a)]. given #5330 (H,wt=18): 6241 1 / L(K(x,y),z,u) != w | L(K(y,x),z,u) = w. [para(6239(a,1),293(a,1,2)),flip(b)]. given #5331 (H,wt=18): 6243 L(K(x,y),z,u) \ 1 != w | L(K(y,x),z,u) = w. [para(6240(a,1),283(a,1,1)),flip(b)]. given #5332 (H,wt=19): 6139 K(x,1 / L(1 / y,z,u)) = 1 / L(K(y,x),z,u). [para(6137(a,1),4894(a,1,2)),flip(a)]. given #5333 (H,wt=19): 6146 x * (K(x \ 1,y) * (x \ z)) = K(x \ 1,y) * z. [para(4964(a,2),4965(a,1,2))]. given #5334 (H,wt=19): 6151 ((x * y) \ y) * (x * y) = y * K(x \ 1,y * x). [para(5932(a,2),5289(a,2,2))]. given #5335 (H,wt=19): 6156 (x * ((y / z) / x)) * z = y * K(x,(x * z) \ y). [hyper(228,a,2108,a(flip),b,6155,a),flip(a)]. given #5336 (H,wt=19): 6159 x \ (y \ ((z \ (y * x)) * z)) = K((z / y) \ x,z). [para(4611(a,1),5485(a,1,2))]. given #5337 (H,wt=15): 6250 K((x / y) \ z,x) = K((y \ x) \ z,x). [hyper(228,a,5484,a(flip),b,6159,a(flip))]. given #5338 (H,wt=19): 6160 (x \ T(y,z)) * K(z,(x \ 1) \ (x \ y)) = x \ y. [hyper(5064,a,5491,a)]. given #5339 (H,wt=19): 6162 x * (K(y \ x,x) * (y \ 1)) = T(x * (y \ 1),x). [hyper(228,a,5701,a(flip),b,5499,a(flip)),flip(a)]. given #5340 (H,wt=19): 6163 x / (y * ((z \ (y \ x)) * z)) = K(z,x / (z * y)). [para(4504(a,1),5526(a,1,2))]. given #5341 (H,wt=19): 6179 x * K(y,(z \ 1) \ (z \ u)) = (1 / x) \ K(y,u). [para(14(a,1),5550(a,1,2,2)),flip(a)]. given #5342 (H,wt=15): 6251 (1 / (x \ T(y,z))) \ K(z,y) = x \ y. [hyper(228,a,6160,a(flip),b,6179,a(flip))]. given #5343 (H,wt=15): 6254 (T(x,y) / z) \ x = (1 / z) \ K(y,x). [para(64(a,1),6251(a,1,1,2)),flip(a)]. given #5344 (H,wt=13): 6256 (T(x,y) / z) \ x = z * K(y,x). [hyper(228,a,5186,a(flip),b,6254,a)]. given #5345 (H,wt=13): 6257 x / (y * K(z,x)) = T(x,z) / y. [para(6256(a,1),61(a,1,2))]. given #5346 (H,wt=13): 6259 T(x,y) / (z * K(x,y)) = x / z. [para(5062(a,1),6257(a,1,2)),flip(a)]. given #5347 (H,wt=13): 6261 (x / y) * (y * K(x,z)) = T(x,z). [para(6259(a,1),16(a,1,1))]. given #5348 (H,wt=13): 6262 (x / y) \ T(x,z) = y * K(x,z). [para(6259(a,1),64(a,1,1))]. given #5349 (H,wt=13): 6265 (x \ y) * K(y,z) = x \ T(y,z). [hyper(71,a,6261,a(flip),b,133,a(flip)),flip(a)]. given #5350 (H,wt=15): 6255 K(x,y) / (z \ T(x,y)) = 1 / (z \ x). [para(6251(a,1),5238(a,1,2)),flip(a)]. given #5351 (H,wt=17): 6258 (x \ y) * K(x / y,y) = (y * (x / y)) \ y. [para(5704(a,1),6256(a,1,1)),flip(a)]. given #5352 (H,wt=17): 6268 x \ ((y \ z) \ z) = (x \ y) * K(y,y \ z). [hyper(228,a,393,a(flip),b,6265,a),flip(a)]. given #5353 (H,wt=17): 6274 (x \ ((y \ z) \ z)) * K(y \ z,y) = x \ y. [hyper(5064,a,6268,a(flip))]. given #5354 (H,wt=18): 6273 (1 / (x \ y)) \ K(y,z) != u | x \ T(y,z) = u. [para(6255(a,1),283(a,1,1)),flip(b)]. given #5355 (H,wt=16): 6278 (x \ y) * K(y,z) != u | x \ T(y,z) = u. [para(5186(a,1),6273(a,1))]. given #5356 (H,wt=19): 6189 x * (y * K((y \ (x \ 1)) \ 1,z)) = T(x * y,z). [para(5841(a,1),14(a,1,2))]. given #5357 (H,wt=19): 6191 K(x \ ((y \ z) \ 1),u) = K(x \ ((z \ 1) * y),u). [para(254(a,1),5890(a,1,1,2))]. given #5358 (H,wt=19): 6200 T(K(x,y),z * y) * K(y,x) = K(K(x,y),y * z). [para(6199(a,2),4907(a,1,1))]. given #5359 (H,wt=15): 6281 K(K(x,y),y * z) = K(z * y,K(y,x)). [hyper(6001,a,6200,a),flip(a)]. given #5360 (H,wt=15): 6282 K(x * y,K(y,z)) = K(y * x,K(y,z)). [hyper(6012,a,6281,a),flip(a)]. given #5361 (H,wt=19): 6223 T(x,y) * K(z,T(x,u)) = K(z,T(x,u)) * T(x,y). [para(6221(a,1),182(a,1,2,1)),flip(a)]. given #5362 (H,wt=19): 6228 (1 / x) \ K(x,T(x,y) / z) = T(x,z \ T(x,y)). [hyper(71,a,6210,a,b,4694,a(flip))]. given #5363 (H,wt=18): 6283 T(x,y \ T(x,z)) != u | T(x,T(x,z) / y) = u. [para(6228(a,1),4856(a,1))]. given #5364 (H,wt=19): 6230 ((x \ y) * z) * K(x,T(x \ y,z)) = (y / x) * z. [hyper(228,a,5664,a(flip),b,6224,a)]. given #5365 (H,wt=19): 6231 K(x,R(x,y,z) * (u \ 1)) = K(x,u \ R(x,y,z)). [hyper(6170,a,6227,a)]. given #5366 (H,wt=19): 6236 x \ (y \ ((1 / (1 / x)) * y)) = K(x \ (y \ 1),x). [para(326(a,1),6094(a,1,2,2))]. given #5367 (H,wt=17): 6285 x \ T(1 / (1 / x),y) = K(x \ (y \ 1),x). [para(32(a,2),6236(a,1,2))]. given #5368 (H,wt=19): 6244 x * L(K(x,K(y,z)),u,w) = T(x,L(K(y,z),u,w)). [para(6242(a,2),4705(a,2,2)),flip(a)]. given #5369 (H,wt=19): 6260 T(x,y / x) / (z / (x \ y)) = x / (z / (y / x)). [para(5230(a,1),6257(a,1,2)),flip(a)]. given #5370 (H,wt=19): 6267 (x * y) \ T(y * x,z) = K(y,x) * K(y * x,z). [para(135(a,1),6262(a,1,1))]. given #5371 (H,wt=19): 6286 (x / (1 / (x \ y))) / x = x \ (x / (1 / (y / x))). [para(6260(a,1),3974(a,1,2)),flip(a)]. given #5372 (H,wt=19): 6287 (K(x,y) * K(x * y,z)) * (y * x) = T(x * y,z). [para(6267(a,1),6111(a,1,1))]. given #5373 (H,wt=20): 4728 (x \ (T(x,y) / z)) \ K(x,y) = R(z,T(x,y) \ 1,x). [para(4649(a,2),4356(a,1,2))]. given #5374 (H,wt=20): 4834 R(x / y,y,K(z,x)) \ ((z * x) / z) = y * K(z,x). [para(4673(a,2),473(a,1,2))]. given #5375 (H,wt=20): 4842 L(x * K(y * z,x),z,y) = (y * (z * x)) / (y * z). [para(4673(a,1),788(a,1,1))]. given #5376 (H,wt=20): 4924 (1 / (1 / x)) / K(y,x) != z | T(1 / (1 / x),y) = z. [para(3242(a,1),4661(a,1,2))]. given #5377 (H,wt=20): 5001 T(x,y) * (x \ z) != u * w | u \ (K(x,y) * z) = w. [para(4676(a,2),437(a,1))]. given #5378 (H,wt=20): 5049 (K(x,y) \ z) * L(u,z,K(y,x)) = K(y,x) * (z * u). [para(5035(a,2),100(a,1,1))]. given #5379 (H,wt=20): 5050 L(x \ (K(y,z) * u),x,K(z,y)) = (K(z,y) * x) \ u. [para(5035(a,1),222(a,1,1,2))]. given #5380 (H,wt=20): 5051 L(K(x,y) * (z \ u),K(y,x),z) = (z * K(y,x)) \ u. [para(5035(a,1),222(a,1,1))]. given #5381 (H,wt=20): 5089 R((x / y) * K(z,u),K(u,z),y) = x / (K(u,z) * y). [para(5063(a,1),226(a,1,1))]. given #5382 (H,wt=20): 5096 K(x,y) * (x * z) != u * w | (T(x,y) * z) / w = u. [para(4722(a,1),276(a,1,2))]. given #5383 (H,wt=20): 5196 (x \ 1) * K(y,z) != u * w | u \ (x \ K(y,z)) = w. [para(5132(a,1),374(a,1,2))]. given #5384 (H,wt=20): 5224 (x * T(y,z)) / y != u * w | u \ (x * K(y,z)) = w. [para(5177(a,1),537(a,1,1))]. given #5385 (H,wt=20): 5246 K(x,y) * z != u * T(x,y) | T(u * x,K(x,y)) = z. [para(5199(a,1),172(a,2))]. given #5386 (H,wt=20): 5249 x * T(y,z) != u * w | u \ ((x * y) * K(y,z)) = w. [para(5199(a,1),437(a,1))]. given #5387 (H,wt=20): 5251 (x / y) * T(y,z) != u * w | u \ (x * K(y,z)) = w. [para(5199(a,1),536(a,1))]. given #5388 (H,wt=20): 5262 (x * y) / T(y,z) != u * w | (x * K(z,y)) / w = u. [para(5203(a,1),299(a,1,1))]. given #5389 (H,wt=20): 5278 T(x,y) * z != u * K(x,y) | T(u / x,T(x,y)) = z. [para(5216(a,1),172(a,2))]. given #5390 (H,wt=20): 5281 (x / y) * K(z,y) != u * w | u \ (x / T(y,z)) = w. [para(5229(a,1),279(a,1,1))]. given #5391 (H,wt=20): 5299 K(T(x \ 1,x) \ 1,y) != z | K(T(x,x \ 1),y) = z. [para(1184(a,1),4948(a,1,1,1))]. given #5392 (H,wt=20): 5300 K(L(x \ 1,y,z),u) != w | K(L(1 / x,y,z),u) = w. [para(2775(a,1),4948(a,1,1))]. given #5393 (H,wt=20): 5309 (x / y) * K(y,y \ 1) != z | x / (1 / (1 / y)) = z. [para(2925(a,1),5065(a,1,1)),flip(b)]. given #5394 (H,wt=20): 5315 (K(x,y) * K(z,u)) \ 1 != w | K(u,z) * K(y,x) = w. [para(4893(a,2),5072(a,1))]. given #5395 (H,wt=20): 5319 T(x,T(y,z)) / (T(T(y,x),z) \ x) != u | T(y,z) = u. [para(4245(a,2),5105(a,1))]. given #5396 (H,wt=20): 5320 K(x \ y,y \ x) != z | K(1 / (y \ x),y \ x) = z. [para(2786(a,1),5298(a,1))]. given #5397 (H,wt=20): 5337 x * T(x \ y,z) != y * u | T(K(y / x,z),y) = u. [para(4677(a,1),172(a,2)),flip(a)]. given #5398 (H,wt=20): 5369 (1 / x) * T((1 / x) \ 1,y) != z | x \ T(x,y) = z. [para(4695(a,1),4857(a,1))]. given #5399 (H,wt=20): 5398 T(x * K(y * R(x,z,u),x),y) = R(x,y,R(x,z,u)). [hyper(18,a,1673,a,b,4746,a)]. given #5400 (H,wt=20): 5402 T(x * K(y \ x,x),y \ 1) = R(x,x \ (y \ x),x). [hyper(228,a,4183,a,b,4747,a)]. given #5401 (H,wt=15): 6295 R(x,x \ (y \ x),x) = R(x,y \ 1,x). [hyper(228,a,5401,a(flip),b,5402,a(flip))]. given #5402 (H,wt=20): 5407 T(x * K(y,x),z) != u | T(x,z) * K(y,T(x,z)) = u. [para(4747(a,2),4745(a,1))]. given #5403 (H,wt=20): 5559 K(x,(y * (z * u)) \ (y * z)) = K(x,1 / L(u,z,y)). [para(28(a,2),5555(a,1,2,2)),flip(a)]. given #5404 (H,wt=20): 5566 K(x,L(y \ z,y,u) \ 1) = K(x,(u * z) \ (u * y)). [para(102(a,2),5558(a,1,2,1))]. given #5405 (H,wt=18): 6297 L(K(x,y \ z),z,u) = K(x,(u * y) \ (u * z)). [hyper(228,a,6103,a(flip),b,5566,a(flip)),flip(a)]. given #5406 (H,wt=15): 6298 K(x,(y * z) \ (y * x)) = K(x,z \ x). [hyper(5513,a,6297,a),flip(a)]. given #5407 (H,wt=15): 6303 K(x,(y \ z) \ x) = K(x,z \ (y * x)). [para(14(a,1),6298(a,1,2,1)),flip(a)]. given #5408 (H,wt=17): 6305 T(x,(y * z) \ (y * x)) = x * K(x,z \ x). [para(6298(a,1),4705(a,2,2))]. given #5409 (H,wt=15): 6308 T(x,(y * z) \ (y * x)) = T(x,z \ x). [hyper(228,a,4705,a,b,6305,a)]. given #5410 (H,wt=15): 6309 T(x,(y \ z) \ x) = T(x,z \ (y * x)). [para(14(a,1),6308(a,1,2,1)),flip(a)]. given #5411 (H,wt=18): 6299 L(K(x,(y \ z) \ u),u,y) = K(x,z \ (y * u)). [para(14(a,1),6297(a,2,2,1))]. given #5412 (H,wt=18): 6301 K(x,(y * (z / u)) \ (y * z)) = L(K(x,u),z,y). [para(64(a,1),6297(a,1,1,2)),flip(a)]. given #5413 (H,wt=15): 6313 K(x,L(y,z / y,u)) = L(K(x,y),z,u). [para(104(a,2),6301(a,1,2))]. given #5414 (H,wt=15): 6315 L(K(x,y),z * y,u) = K(x,L(y,z,u)). [para(15(a,1),6313(a,1,2,2)),flip(a)]. given #5415 (H,wt=14): 6318 K(x \ 1,L(x,y,z)) = K(x \ 1,x). [hyper(4400,a,6315,a),flip(a)]. given #5416 (H,wt=14): 6319 K(1 / x,L(x,y,z)) = K(1 / x,x). [hyper(228,a,4416,a(flip),b,6315,a(flip))]. given #5417 (H,wt=17): 6314 K(x,L(y,z / y,u)) = L(K(y,x),z,u) \ 1. [hyper(228,a,6239,a,b,6313,a)]. given #5418 (H,wt=17): 6320 K(L(x,y,z) \ 1,x) = K(x \ 1,L(x,u,w)). [hyper(228,a,4377,a,b,6318,a),flip(a)]. given #5419 (H,wt=18): 6302 K(x,(y * z) \ (y * x)) != u | K(x,z \ x) = u. [para(6297(a,1),5513(a,1))]. given #5420 (H,wt=18): 6317 K(x \ y,L(y \ x,z,u)) = K(x \ y,y \ x). [hyper(4451,a,6315,a),flip(a)]. given #5421 (H,wt=18): 6323 K(x,L(y,z / y,u)) != w | L(K(x,y),z,u) = w. [para(6314(a,2),6243(a,1))]. given #5422 (H,wt=19): 6304 K(x \ y,(x * z) \ y) = K(x \ y,z \ (x \ y)). [para(14(a,1),6298(a,1,2,2))]. given #5423 (H,wt=19): 6306 K(x,(K(y,z) * u) \ x) = K(x,u \ (K(z,y) * x)). [para(5042(a,1),6298(a,1,2,1)),flip(a)]. given #5424 (H,wt=20): 5577 K(x,R(y \ 1,y,z) \ u) = K(x,(z / (y * z)) \ u). [para(3305(a,2),5382(a,1,2,1))]. given #5425 (H,wt=20): 5603 K(L(x \ y,x,z) \ 1,u) = K((z * y) \ (z * x),u). [para(439(a,1),5587(a,1,1,2)),flip(a)]. given #5426 (H,wt=18): 6326 L(K(x \ y,z),y,u) = K((u * x) \ (u * y),z). [hyper(228,a,6134,a(flip),b,5603,a(flip)),flip(a)]. given #5427 (H,wt=17): 6332 L(K(x \ y,z),y,u) = K(L(x \ y,x,u),z). [para(102(a,2),6326(a,2,1))]. given #5428 (H,wt=18): 6328 L(K((x \ y) \ z,u),z,x) = K(y \ (x * z),u). [para(14(a,1),6326(a,2,1,1))]. given #5429 (H,wt=18): 6330 K((x * (y / z)) \ (x * y),u) = L(K(z,u),y,x). [para(64(a,1),6326(a,1,1,1)),flip(a)]. given #5430 (H,wt=15): 6339 K(L(x,y / x,z),u) = L(K(x,u),y,z). [para(104(a,2),6330(a,1,1))]. given #5431 (H,wt=15): 6341 L(K(x,y),z * x,u) = K(L(x,z,u),y). [para(15(a,1),6339(a,1,1,2)),flip(a)]. given #5432 (H,wt=18): 6343 (x * (y * z)) / K(L(y,z,x),z) = x * (z * y). [para(6341(a,1),508(a,1,2))]. given #5433 (H,wt=18): 6344 (x * (y * z)) * K(z,L(y,z,x)) = x * (z * y). [hyper(5067,a,6343,a)]. given #5434 (H,wt=19): 6342 L(K(x,y),z * x,u) = K((L(x,z,u) \ 1) \ 1,y). [hyper(228,a,2857,a,b,6341,a)]. given #5435 (H,wt=18): 6346 L(K(x,y),z * x,u) != w | K(L(x,z,u),y) = w. [para(6342(a,2),4948(a,1))]. given #5436 (H,wt=20): 5699 (x * (K(y * z,x) * y)) * z = (y * z) * R(x,y,z). [para(5663(a,1),791(a,1,1))]. given #5437 (H,wt=20): 5714 T(x * L(x \ 1,x,y),y) = T(x,y) * ((x * y) \ y). [para(5713(a,1),1635(a,1,1,2))]. given #5438 (H,wt=20): 5716 x \ (y * T(y \ x,z)) != u | K((x \ y) \ 1,z) = u. [para(1379(a,1),4928(a,1))]. given #5439 (H,wt=20): 5718 K(T(x,y),T(x,y) \ 1) != z | K(T(x,y),1 / x) = z. [para(3140(a,2),5717(a,1))]. given #5440 (H,wt=20): 5725 x * (y * K(x,z)) != u | T(x,z) * T(y,K(x,z)) = u. [para(113(a,1),5146(a,1,2))]. given #5441 (H,wt=20): 5728 (x * (y \ 1)) * K(z,u) != w | (y / x) \ K(z,u) = w. [para(120(a,1),5195(a,1,1))]. given #5442 (H,wt=20): 5729 (T(x,y) \ x) / x != z | T(x,y) \ K(x,x \ 1) = z. [para(2906(a,1),5195(a,1))]. given #5443 (H,wt=20): 5730 (x \ 1) * K(y,z \ 1) != u | x \ K(y,1 / z) = u. [para(3240(a,1),5195(a,1,2))]. given #5444 (H,wt=20): 5734 ((x * y) / x) * K(y,z) != u | K(x,y) * T(y,z) = u. [para(4716(a,2),5201(a,1,1))]. given #5445 (H,wt=20): 5738 x * K(y,T(z,x)) != u | (z * x) / T(T(z,x),y) = u. [para(137(a,1),5280(a,1,1))]. given #5446 (H,wt=20): 5739 x * (K(y,x) * K(z,y)) != u | (y * x) / T(y,z) = u. [para(5663(a,1),5280(a,1))]. given #5447 (H,wt=20): 5767 K(x,(K(y,z) * u) \ 1) != w | K(x,u \ K(z,y)) = w. [para(5035(a,1),5671(a,1,2,1))]. given #5448 (H,wt=20): 5772 ((x * y) / x) \ (y * z) != u | T(y,x) * (y \ z) = u. [para(4992(a,2),5723(a,1))]. given #5449 (H,wt=20): 5780 K(x,y * (z \ (u \ 1))) != w | K(x,y / (u * z)) = w. [para(118(a,1),5754(a,1,2,2))]. given #5450 (H,wt=20): 5798 K(x,(y \ (z \ 1)) * u) != w | K(x,(z * y) \ u) = w. [para(118(a,1),5792(a,1,2,1))]. given #5451 (H,wt=20): 5804 K(x * (y \ 1),y \ 1) != z | K(y \ x,y \ 1) = z. [para(5647(a,2),5801(a,1))]. given #5452 (H,wt=20): 5814 x * T(K(x,y \ 1),z) != u | T(x,T(y,z) \ 1) = u. [para(5807(a,1),4708(a,1,2))]. given #5453 (H,wt=20): 5819 L(x,y,z) * K(u,L(x,y,z)) = L(x * K(u,x),y,z). [hyper(18,a,4715,a,b,4748,a),flip(a)]. given #5454 (H,wt=20): 5822 R(x,y,z) * K(u,R(x,y,z)) = R(x * K(u,x),y,z). [hyper(18,a,4715,a,b,4749,a),flip(a)]. given #5455 (H,wt=20): 5829 L(x * K(y,x),z,u) / L(x,z,u) = K(y,L(x,z,u)). [hyper(72,a,4837,a,b,4716,a(flip))]. given #5456 (H,wt=20): 5830 L(x * K(y,x),z,u) \ L(x,z,u) = K(L(x,z,u),y). [para(4837(a,2),4644(a,2,1)),flip(a)]. given #5457 (H,wt=20): 5831 L(x,y,z) / L(x * K(u,x),y,z) = K(L(x,y,z),u). [para(4837(a,2),4810(a,2,2)),flip(a)]. given #5458 (H,wt=20): 5832 R(x,y,z) \ R(x * K(u,x),y,z) = K(u,R(x,y,z)). [hyper(71,a,4838,a,b,4673,a(flip))]. given #5459 (H,wt=20): 5834 R(x * K(y,x),z,u) \ R(x,z,u) = K(R(x,z,u),y). [para(4838(a,2),4644(a,2,1)),flip(a)]. given #5460 (H,wt=20): 5835 (x \ y) * T(x,y) != z * x | x \ (y * K(x,y)) = z. [para(4850(a,1),20(a,1))]. given #5461 (H,wt=20): 5863 x * K(1 / T(y,x),z) != u * x | K(1 / y,z) = u. [para(5859(a,2),174(a,1,2)),flip(b)]. given #5462 (H,wt=20): 5867 x * K(T(x,y),z) != u | T(T(x,y),z) * K(y,x) = u. [para(5009(a,1),2512(a,1))]. given #5463 (H,wt=20): 5875 K(x \ y,x) * (x \ z) != u | ((x \ y) \ y) \ z = u. [para(5150(a,1),5046(a,1,2)),flip(b)]. given #5464 (H,wt=20): 5888 x * K(y \ z,y) != u * y | u * ((y \ z) \ z) = x. [para(5270(a,1),20(a,1)),flip(a)]. given #5465 (H,wt=20): 5904 T(x,y) \ T(x * K(z,x),y) != u | K(z,T(x,y)) = u. [para(5396(a,1),284(a,1,2)),flip(b)]. given #5466 (H,wt=20): 5908 T(x,y) * K(z,T(x,y)) != u | T(x * K(z,x),y) = u. [para(5404(a,1),213(a,1,2)),flip(b)]. given #5467 (H,wt=20): 5922 (x \ (x / (y \ 1))) * z != x / (y \ 1) | T(x,y) = z. [para(5463(a,1),19(a,1)),flip(a)]. given #5468 (H,wt=20): 5930 K(x,x \ y) * ((x \ y) * z) != u | (y / x) * z = u. [para(5524(a,1),5046(a,1,2)),flip(b)]. given #5469 (H,wt=20): 5945 K(x,x \ y) \ ((y / x) * z) != u | (x \ y) * z = u. [para(5664(a,1),284(a,1,2)),flip(b)]. given #5470 (H,wt=20): 5951 (x \ y) \ ((y / x) * z) != u | K(x,x \ y) * z = u. [para(5698(a,1),284(a,1,2)),flip(b)]. given #5471 (H,wt=20): 5961 (x * y) * ((y * x) \ x) != z * u | z \ T(x,y) = u. [para(5958(a,1),279(a,1,1))]. given #5472 (H,wt=20): 6019 K(x \ y,x) * ((x \ y) \ z) != u | (y / x) \ z = u. [para(5915(a,1),5046(a,1,2)),flip(b)]. given #5473 (H,wt=20): 6065 K(x,y) * (y \ z) != u * w | u \ (T(y,x) \ z) = w. [para(4977(a,1),5052(a,1,2))]. given #5474 (H,wt=20): 6067 x \ (y * K(x,z)) != u | T((y / x) * K(x,z),x) = u. [para(5216(a,1),5223(a,1,2))]. given #5475 (H,wt=20): 6069 K(x \ 1,x) * (y * x) != z | y * (1 / (1 / x)) = z. [para(2824(a,1),5305(a,1,2)),flip(b)]. given #5476 (H,wt=20): 6078 K(x,L(y,x,x \ 1)) * (y * x) = x * ((y * x) / x). [para(5438(a,1),5557(a,1,1))]. given #5477 (H,wt=16): 6359 K(x,L(y,x,x \ 1)) * (y * x) = x * y. [para(15(a,1),6078(a,2,2))]. given #5478 (H,wt=12): 6360 K(x,L(y,x,x \ 1)) = K(x,y). [hyper(4816,a,6359,a),flip(a)]. given #5479 (H,wt=20): 6080 x \ (y * T(y \ x,T(y,x))) != z | K(y \ x,y) = z. [para(3777(a,2),5498(a,1,2,2))]. given #5480 (H,wt=20): 6084 K((x / y) \ 1,x / y) != z | K(x \ y,y \ x) = z. [para(2956(a,2),5794(a,1))]. given #5481 (H,wt=20): 6085 (x * (y \ 1)) * (y / x) != z | K(y \ x,x \ y) = z. [para(5643(a,2),5794(a,1))]. given #5482 (H,wt=20): 6090 T(x,y) * (x \ K(x,z)) != u | K(x,z) * K(x,y) = u. [para(4676(a,2),5991(a,1))]. given #5483 (H,wt=20): 6147 L(K(x \ 1,y),z,u) != w | K(L(x,z,u) \ 1,y) = w. [para(4971(a,1),4929(a,1))]. given #5484 (H,wt=17): 6361 K(x \ 1,x) != y | K(L(x,z,u) \ 1,x) = y. [para(4379(a,1),6147(a,1))]. given #5485 (H,wt=20): 6169 K(x,(y * (z \ 1)) \ u) != w | K(x,(z / y) * u) = w. [para(120(a,1),6168(a,1,2,1))]. given #5486 (H,wt=20): 6173 K(x,((1 / y) * z) \ u) != w | K(x,(z \ y) * u) = w. [para(326(a,1),6171(a,1,2,1))]. given #5487 (H,wt=20): 6174 K(x \ 1,(x \ 1) \ y) != z | K(x \ 1,y * x) = z. [para(4874(a,1),6172(a,1))]. given #5488 (H,wt=20): 6178 K(x,(y \ K(z,u)) \ 1) != w | K(x,K(u,z) * y) = w. [para(4910(a,1),6176(a,1,2,1))]. given #5489 (H,wt=20): 6206 x * K(y,(x \ z) \ 1) != u * x | K(y,x / z) = u. [para(6204(a,2),20(a,1))]. given #5490 (H,wt=20): 6235 (x * (y \ z)) * T(y,y \ z) = R(x,z / y,y) * z. [hyper(228,a,475,a,b,6043,a)]. given #5491 (H,wt=17): 6364 R(x,y \ z,T(y,y \ z)) = R(x,z / y,y). [hyper(773,a,6235,a)]. given #5492 (H,wt=20): 6237 L(K(x,y \ z),z,z \ 1) = K(x,((1 / z) * y) \ 1). [para(2988(a,1),6103(a,1,2,1)),flip(a)]. given #5493 (H,wt=20): 6238 ((x * K(y,z)) / (z * K(y,z))) * z = R(x,K(y,z),z). [hyper(2518,a,6115,a),flip(a)]. given #5494 (H,wt=17): 6366 R(x * y,K(z,y),y) = R(x,y,K(z,y)) * y. [para(30(a,2),6238(a,1,1)),flip(a)]. given #5495 (H,wt=20): 6245 K(x,L(y \ 1,z,u) \ 1) != w | L(K(x,y),z,u) = w. [para(6138(a,2),6243(a,1))]. given #5496 (H,wt=20): 6263 (x / y) * (y * K(x,z)) != u * w | u \ T(x,z) = w. [para(6259(a,1),279(a,1,1))]. given #5497 (H,wt=20): 6264 (x / y) * (y * K(x,z)) != u * w | T(x,z) / w = u. [para(6259(a,1),376(a,1,1))]. given #5498 (H,wt=20): 6284 K(x,y \ R(x,z,u)) != w | K(x,R(x,z,u) / y) = w. [para(6231(a,1),5754(a,1))]. given #5499 (H,wt=20): 6289 R(x \ T(y,z),T(y,z) \ 1,y) = (y \ x) \ K(y,z). [para(61(a,1),4728(a,1,1,2)),flip(a)]. given #5500 (H,wt=20): 6290 (K(x,y) \ z) \ (K(x,y) \ (z * u)) = L(u,z,K(y,x)). [hyper(71,a,5035,a,b,5049,a)]. given #5501 (H,wt=20): 6300 L(K(x,y \ (z \ u)),z \ u,z) = K(x,(z * y) \ u). [para(14(a,1),6297(a,2,2,2))]. given #5502 (H,wt=20): 6312 K(x,(y * ((y \ z) / u)) \ z) = L(K(x,u),y \ z,y). [para(14(a,1),6301(a,1,2,2))]. given #5503 (H,wt=20): 6316 (x * y) * K(z,L(u,y / u,x)) = x * (y * K(z,u)). [para(6313(a,2),100(a,1,2))]. given #5504 (H,wt=20): 6321 L(K(x \ 1,L(x,y,z)),u,w) = K(L(x,u,w) \ 1,x). [para(6318(a,2),2362(a,1,1))]. given #5505 (H,wt=20): 6322 K(1 / L(x,y,z),L(x,u,w)) = L(K(1 / x,x),y,z). [para(6319(a,1),6136(a,1,1)),flip(a)]. given #5506 (H,wt=17): 6374 K(1 / L(x,y,z),L(x,u,w)) = K(1 / x,x). [hyper(228,a,4416,a(flip),b,6322,a)]. given #5507 (H,wt=19): 6376 L(x,y,z) * K(1 / x,x) = 1 / (1 / L(x,y,z)). [para(6374(a,1),1888(a,1,2))]. given #5508 (H,wt=20): 6324 K(x,L(y \ z,y,u)) != w | L(K(x,y \ z),z,u) = w. [para(61(a,1),6323(a,1,2,2))]. given #5509 (H,wt=20): 6327 L(K(x \ y,z),y,y \ 1) = K(((y \ 1) * x) \ 1,z). [hyper(228,a,5531,a(flip),b,6326,a)]. given #5510 (H,wt=15): 6379 K(((x \ 1) * y) \ 1,z) = K(y \ x,z). [hyper(228,a,5282,a(flip),b,6327,a(flip))]. given #5511 (H,wt=17): 6380 K(((x \ 1) * y) \ 1,z) = K((y \ 1) * x,z). [hyper(228,a,5635,a,b,6379,a)]. given #5512 (H,wt=17): 6382 K(((((x \ 1) \ y) \ 1) * x) \ 1,z) = K(y,z). [para(14(a,1),6380(a,2,1))]. given #5513 (H,wt=20): 6329 L(K(x \ (y \ z),u),y \ z,y) = K((y * x) \ z,u). [para(14(a,1),6326(a,2,1,2))]. given #5514 (H,wt=20): 6334 L(K(x * y,z),y,u) = K((u * (x \ 1)) \ (u * y),z). [para(5637(a,1),6326(a,1,1))]. given #5515 (H,wt=20): 6335 L(K(L(x,y,z) \ x,u),x,z * y) = K(a(z,y,x),u). [para(1703(a,2),6332(a,2,1))]. given #5516 (H,wt=20): 6340 K(L(x,y / x,z),u) = (z * y) \ (z * (y * K(x,u))). [hyper(228,a,28,a(flip),b,6339,a)]. given #5517 (H,wt=18): 6386 K(L(x,y / x,z),u) != w | L(K(x,u),y,z) = w. [para(6340(a,2),456(a,1))]. given #5518 (H,wt=20): 6363 K(x,((y \ 1) * z) \ u) != w | K(x,(z \ y) * u) = w. [para(5392(a,1),6173(a,1))]. given #5519 (H,wt=20): 6365 L(K(x,y \ z),z,z \ 1) = K(x,((z \ 1) * y) \ 1). [hyper(228,a,5392,a(flip),b,6237,a)]. given #5520 (H,wt=20): 6367 R(x * y,K(z,y),y) != u * y | R(x,y,K(z,y)) = u. [para(6366(a,2),20(a,1))]. given #5521 (H,wt=20): 6373 K(L(x,y,z) \ 1,L(x,u,w)) = K(L(x,y,z) \ 1,x). [hyper(6147,a,6321,a)]. given #5522 (H,wt=17): 6389 K(L(x,y,z) \ 1,L(x,u,w)) = K(x \ 1,x). [hyper(228,a,4377,a(flip),b,6373,a)]. given #5523 (H,wt=20): 6387 K(x,((y \ 1) * (y / z)) \ 1) = L(K(x,z),y,y \ 1). [para(64(a,1),6365(a,1,1,2)),flip(a)]. given #5524 (H,wt=20): 6388 K(L(x,y,z) \ 1,L(x,u,w)) = K(x \ 1,L(x,v5,v6)). [hyper(228,a,6320,a(flip),b,6373,a)]. given #5525 (H,wt=21): 4635 T((x \ 1) * ((y \ x) * y),x) = (x \ 1) * ((y \ x) * y). [para(4623(a,1),1738(a,2,2))]. given #5526 (H,wt=21): 4757 L(x * K(y,x),y,x * K(y,x)) = L(x * K(y,x),y,x). [para(4674(a,1),4198(a,1,3)),flip(a)]. given #5527 (H,wt=21): 4791 (K(x,y) * z) \ T(x,y) != u | L(z \ x,z,K(x,y)) = u. [para(4712(a,2),568(a,1,2))]. given #5528 (H,wt=21): 4796 (x * (1 / (y * x))) / (1 / T(y,x)) = K(x,1 / (y * x)). [para(328(a,1),4643(a,2,2)),flip(a)]. given #5529 (H,wt=21): 4822 (x * y) * K(T(y,x),x * y) = T(y,x * y) * T(x,y). [hyper(4187,a,4673,a),flip(a)]. given #5530 (H,wt=21): 4911 T(x * K(y,z),x \ K(z,y)) = ((x * K(y,z)) \ 1) \ 1. [para(4894(a,1),3377(a,1,2,2))]. given #5531 (H,wt=19): 6394 T(x * K(y,x),x \ K(x,y)) = (x \ 1) \ K(y,x). [hyper(228,a,5581,a(flip),b,4911,a)]. given #5532 (H,wt=21): 4925 L(T(x,y),z,u) \ L(x,z,u) != w | K(y,L(x,z,u)) = w. [para(40(a,2),4731(a,1,1))]. given #5533 (H,wt=21): 4926 R(T(x,y),z,u) \ R(x,z,u) != w | K(y,R(x,z,u)) = w. [para(42(a,2),4731(a,1,1))]. given #5534 (H,wt=21): 4930 L(x,y,z) \ L(T(x,u),y,z) != w | K(L(x,y,z),u) = w. [para(40(a,2),4773(a,1,2))]. given #5535 (H,wt=21): 4967 (x * (y * T(y \ 1,z))) * y = (x * y) * K(y \ 1,z). [para(4650(a,1),1589(a,2,2))]. given #5536 (H,wt=19): 6397 (x * K(y \ 1,z)) * y = (x * y) * K(y \ 1,z). [para(4650(a,1),4967(a,1,1,2))]. given #5537 (H,wt=19): 6400 (x * K(y \ 1,z)) \ ((x * y) * K(y \ 1,z)) = y. [hyper(77,a,6397,a)]. given #5538 (H,wt=20): 6401 R(T(x,y * K(x \ 1,z)),y,K(x \ 1,z)) = T(x,y). [para(6400(a,1),1038(a,1,1)),flip(a)]. given #5539 (H,wt=21): 5032 K(x,y) * (L(z,u,w) * x) = T(x,y) * L(T(z,x),u,w). [para(183(a,1),4720(a,1,2))]. given #5540 (H,wt=21): 5033 K(x,y) * (R(z,u,w) * x) = T(x,y) * R(T(z,x),u,w). [para(184(a,1),4720(a,1,2))]. given #5541 (H,wt=21): 5053 T((x \ K(y,z)) \ 1,K(z,y) * x) = (x \ K(y,z)) \ 1. [para(5035(a,1),550(a,1,2))]. given #5542 (H,wt=21): 5073 x / (K(y,z) * ((x \ 1) \ 1)) = K(x \ 1,x) * K(z,y). [para(5040(a,1),3465(a,1,2)),flip(a)]. given #5543 (H,wt=21): 5139 1 / (x * (y * K(z,z \ 1))) = K(z \ 1,z) / (x * y). [para(4331(a,1),4898(a,1,2))]. given #5544 (H,wt=21): 5324 T(x,x * y) * K(y,x) != z * u | z \ L(x,y,x) = u. [para(5302(a,2),374(a,1,2))]. given #5545 (H,wt=21): 5359 x * (y * ((z * (y \ (x \ 1))) / z)) = K(z,(x * y) \ 1). [hyper(1251,a,4692,a)]. given #5546 (H,wt=17): 6405 x * (y * ((x \ 1) / y)) = K(y,(x * y) \ 1). [para(14(a,1),5359(a,1,2,2,1))]. given #5547 (H,wt=21): 5362 (x * y) * ((z * ((x * y) \ x)) / z) = x * K(z,y \ 1). [para(4692(a,1),1032(a,2,2))]. given #5548 (H,wt=21): 5364 (x * y) * ((z * ((x * y) \ y)) / z) = K(z,x \ 1) * y. [para(4692(a,1),1597(a,2,1))]. given #5549 (H,wt=21): 5368 ((1 / x) * y) * T(((1 / x) * y) \ y,z) = K(x,z) * y. [para(4695(a,2),1158(a,2,1))]. given #5550 (H,wt=21): 5426 K(x,y / ((1 / (1 / z)) \ u)) = K(x,y * ((u \ 1) * z)). [para(323(a,1),5421(a,1,2,2))]. given #5551 (H,wt=21): 5444 L(x * K(y,x),z,u) * T(y,x) = T(y,x) * L(x,z,u). [para(4890(a,1),590(a,1,1,1))]. given #5552 (H,wt=21): 5467 (x * (y * T(y \ (x \ z),u))) \ z = K(u,(x * y) \ z). [para(852(a,1),5155(a,1,1))]. given #5553 (H,wt=21): 5500 T(x,y) * T(T(x,y) \ y,z) = T(y * K(x \ y,z),y). [para(5241(a,1),1726(a,2,1))]. given #5554 (H,wt=19): 6409 x \ T(x * K(y \ x,z),x) = K(T(y,x) \ x,z). [hyper(71,a,5500,a(flip),b,5241,a(flip))]. given #5555 (H,wt=19): 6410 K(T(x / y,x) \ x,z) = x \ T(x * K(y,z),x). [para(64(a,1),6409(a,1,2,1,2,1)),flip(a)]. given #5556 (H,wt=21): 5518 (x * T(y,L(z,y,x))) \ (x * (y * z)) = T(L(z,y,x),y). [hyper(71,a,100,a(flip),b,5263,a)]. given #5557 (H,wt=21): 5521 K(x \ 1,x) * K(y,y \ x) = (x \ 1) * (y * (x / y)). [para(5285(a,1),2987(a,1,2))]. given #5558 (H,wt=21): 5528 K(x * R(1 / y,z,u),w) = K(x * R(y \ 1,z,u),w). [para(3368(a,1),5342(a,1,1,2))]. given #5559 (H,wt=21): 5529 K(x * T((y * z) \ z,y),u) = K(x * ((y * z) \ z),u). [para(2400(a,2),5343(a,1,1,2))]. given #5560 (H,wt=21): 5530 K(((x * K(y,z)) \ 1) * u,w) = K((K(z,y) / x) * u,w). [para(4896(a,1),5347(a,1,1,1,1))]. given #5561 (H,wt=19): 6414 K((K(x,y) / x) * z,u) = K((x \ K(x,y)) * z,u). [para(4905(a,1),5530(a,1,1,1)),flip(a)]. given #5562 (H,wt=21): 5542 K(x,(R(y,z,u) \ y) \ x) = K(x,x * (y \ R(y,z,u))). [para(3522(a,1),5539(a,1,2,1))]. given #5563 (H,wt=21): 5567 K(x,(T(y,z) * (y \ u)) \ 1) = K(x,(T(y,z) * u) \ y). [para(1052(a,1),5558(a,1,2,1))]. given #5564 (H,wt=17): 6416 K(x,(T(y,z) * u) \ y) = K(x,u \ K(z,y)). [hyper(228,a,5936,a(flip),b,5567,a(flip))]. given #5565 (H,wt=17): 6417 K(x,(T(y,z) \ u) \ K(z,y)) = K(x,u \ y). [para(14(a,1),6416(a,1,2,1)),flip(a)]. given #5566 (H,wt=21): 5578 K(x,R(1 / y,z,u) \ w) = K(x,R(y \ 1,z,u) \ w). [para(3369(a,1),5382(a,1,2,1)),flip(a)]. given #5567 (H,wt=21): 5627 (1 / ((x * y) \ x)) * K(y,z) = T(1 / ((x * y) \ x),z). [para(5613(a,1),4777(a,1,2))]. given #5568 (H,wt=21): 5691 (1 / ((x * y) \ x)) * T(z,y) = z * (1 / ((x * y) \ x)). [para(5680(a,1),3106(a,1,2))]. given #5569 (H,wt=17): 6418 T(1 / ((x * y) \ x),y) = 1 / ((x * y) \ x). [hyper(331,a,5691,a),flip(a)]. given #5570 (H,wt=21): 5759 R(K(x / y,z),x / y,u) != w | K((y / x) \ 1,z) = w. [para(3854(a,2),5641(a,1))]. given #5571 (H,wt=21): 5805 ((x / y) * (y * K(y \ x,y))) * (x / y) = x * (y \ x). [para(4631(a,2),4021(a,1,1))]. given #5572 (H,wt=21): 5837 x \ (((y \ (x / z)) * y) * z) = K((x \ (y * z)) \ 1,y). [para(1049(a,1),4952(a,1,2))]. given #5573 (H,wt=21): 5839 x \ (((y \ (x * z)) * y) / z) = K((x \ (y / z)) \ 1,y). [para(1468(a,1),4952(a,1,2))]. given #5574 (H,wt=21): 5844 ((x \ (y / z)) * x) * z = y * K((y \ (x * z)) \ 1,x). [hyper(228,a,1049,a(flip),b,4954,a(flip)),flip(a)]. given #5575 (H,wt=21): 5848 K(((x \ 1) / (x \ y)) \ 1,z) * (x \ y) = x \ T(y,z). [hyper(228,a,921,a(flip),b,4956,a)]. given #5576 (H,wt=21): 5850 K(((x \ 1) / (x \ y)) \ 1,z) \ (x \ T(y,z)) = x \ y. [hyper(71,a,921,a(flip),b,4956,a)]. given #5577 (H,wt=21): 5858 K(T(K(x,y) * z,u) \ 1,w) = T(K(z \ K(y,x),w),u). [para(4893(a,1),5852(a,2,1,1))]. given #5578 (H,wt=15): 6422 T(K(x \ K(x,y),z),y) = K(x \ 1,z). [para(4752(a,1),5858(a,1,1,1)),flip(a)]. given #5579 (H,wt=17): 6423 K(x \ K(x,y),z) * y = y * K(x \ 1,z). [para(6422(a,1),113(a,1,2)),flip(a)]. given #5580 (H,wt=21): 5872 (1 / (x * y)) * K(z,z \ 1) = (K(z,z \ 1) / y) / x. [hyper(4545,a,5135,a)]. given #5581 (H,wt=19): 6424 (K(x,x \ 1) / y) / z = K(x,x \ 1) / (z * y). [hyper(228,a,3454,a(flip),b,5872,a(flip))]. given #5582 (H,wt=21): 5880 K(x,((y \ 1) \ K(z,u)) * w) = K(x,(y * K(z,u)) * w). [para(5184(a,1),5381(a,1,2,1))]. given #5583 (H,wt=21): 5884 (T((1 / x) * y,z) \ 1) / K(z,(1 / x) * y) = y \ x. [hyper(72,a,4653,a,b,5234,a(flip))]. given #5584 (H,wt=19): 6425 (T((1 / x) * y,z) \ 1) / K(z,x \ y) = y \ x. [para(5551(a,1),5884(a,1,2))]. given #5585 (H,wt=17): 6426 T((1 / x) * y,z) \ K(x \ y,z) = y \ x. [hyper(5125,a,6425,a)]. given #5586 (H,wt=21): 5894 K(x \ R(1 / y,z,u),w) = K(x \ R(y \ 1,z,u),w). [para(3545(a,1),5351(a,1,1,2))]. given #5587 (H,wt=21): 5910 T(x,y) \ T(x * K(x * z,x),y) = K(z * x,T(x,y)). [para(5647(a,1),5404(a,1,2,1,2))]. given #5588 (H,wt=15): 6428 K(x * y,T(y,z)) = K(y * x,T(y,z)). [hyper(5904,a,5910,a),flip(a)]. given #5589 (H,wt=21): 5914 K(x,(1 / y) \ (z / (1 / u))) = K(x,y * ((z \ 1) \ u)). [para(325(a,1),5425(a,1,2))]. given #5590 (H,wt=19): 6429 K(x,y * (z / (1 / u))) = K(x,y * ((z \ 1) \ u)). [hyper(6171,a,5914,a)]. given #5591 (H,wt=21): 5917 K(x \ y,x) * T(z,x \ y) = (y / x) \ (z * (x \ y)). [para(32(a,2),5446(a,1,2))]. given #5592 (H,wt=21): 5955 K(x \ y,x) * K(z,y / x) = x \ (y / T(y / x,z)). [hyper(71,a,5205,a(flip),b,5700,a(flip)),flip(a)]. given #5593 (H,wt=21): 6047 K(x \ R(x,y,z),R(x,u,w)) = R(x,u,w) \ R(x,u,w). [para(3521(a,1),4657(a,1,1,1)),flip(a)]. given #5594 (H,wt=16): 6431 K(x \ R(x,y,z),R(x,u,w)) != v5 | 1 = v5. [para(6047(a,2),149(a,1))]. given #5595 (H,wt=21): 6051 (x * K(y,z)) * L(y,u,w) = x * (K(y,z) * L(y,u,w)). [para(6048(a,1),452(a,1,2,1))]. given #5596 (H,wt=21): 6068 K(x \ 1,x) * (y / (x * y)) != z | R(x \ 1,x,y) = z. [para(1959(a,2),5305(a,1,2)),flip(b)]. given #5597 (H,wt=21): 6105 (x * K(L(y \ 1,z,u) \ 1,w)) \ x = L(K(w,y),z,u). [hyper(228,a,5037,a,b,6101,a(flip)),flip(a)]. given #5598 (H,wt=17): 6432 (x * L(K(y,z),u,w)) \ x = L(K(z,y),u,w). [para(6132(a,1),6105(a,1,1,2))]. given #5599 (H,wt=17): 6433 (x * L(K(y,z),u,w)) * L(K(z,y),u,w) = x. [para(6432(a,1),14(a,1,2))]. given #5600 (H,wt=17): 6434 x / L(K(y,z),u,w) = x * L(K(z,y),u,w). [para(6432(a,1),61(a,1,2))]. given #5601 (H,wt=18): 6437 (x * (y * K(z,u))) \ (x * y) = L(K(u,z),y,x). [para(100(a,1),6432(a,1,1))]. given #5602 (H,wt=18): 6439 (x * (y * K(z,u))) * L(K(u,z),y,x) = x * y. [hyper(205,a,6433,a),flip(a)]. given #5603 (H,wt=20): 6435 x * L(K(y,z),u,w) != v5 | v5 * L(K(z,y),u,w) = x. [para(6432(a,1),84(a,1,2)),flip(b)]. given #5604 (H,wt=20): 6436 x / L(K(y,z),u,w) != v5 | x * L(K(z,y),u,w) = v5. [para(6432(a,1),293(a,1,2)),flip(b)]. given #5605 (H,wt=20): 6438 (x * ((x \ y) * K(z,u))) \ y = L(K(u,z),x \ y,x). [para(441(a,1),6432(a,1,1))]. given #5606 (H,wt=20): 6440 x / L(K(y,z),u,w) != x * v5 | L(K(z,y),u,w) = v5. [para(6434(a,2),19(a,1))]. given #5607 (H,wt=21): 6106 K(L(x \ 1,y,z) \ 1,u) * w = L(K(u,x),y,z) \ w. [para(6101(a,1),5035(a,1,1)),flip(a)]. given #5608 (H,wt=17): 6445 L(K(x,y),z,u) \ w = L(K(y,x),z,u) * w. [para(6132(a,1),6106(a,1,1)),flip(a)]. given #5609 (H,wt=17): 6446 L(K(x,y),z,u) * (L(K(y,x),z,u) * w) = w. [hyper(284,a,6445,a)]. given #5610 (H,wt=20): 6448 L(K(x,y),z,u) * w != v5 | L(K(y,x),z,u) * v5 = w. [para(6446(a,1),19(a,1)),flip(a)]. given #5611 (H,wt=20): 6449 L(K(x,y),z,u) \ w != v5 | L(K(y,x),z,u) * w = v5. [para(6446(a,1),284(a,1,2)),flip(b)]. given #5612 (H,wt=21): 6125 K(x,R(y \ 1,z,u) \ 1) * w = R(K(y,x),z,u) \ w. [para(6122(a,1),5035(a,1,1)),flip(a)]. given #5613 (H,wt=21): 6135 K(L(T(1 / x,y),z,u) \ 1,w) = L(T(K(x,w),y),z,u). [para(5856(a,1),6126(a,1,1)),flip(a)]. given #5614 (H,wt=21): 6140 (x * T(x \ y,z)) * (y \ 1) = K((x * (y \ 1)) \ 1,z). [hyper(228,a,1479,a(flip),b,4958,a(flip)),flip(a)]. given #5615 (H,wt=15): 6450 K((x * (y \ 1)) \ 1,y) = K(x \ y,y). [hyper(228,a,5015,a(flip),b,6140,a(flip))]. given #5616 (H,wt=21): 6142 x * (y \ T(y * (x \ 1),z)) = K((x * (y \ 1)) \ 1,z). [para(868(a,1),4958(a,1,2))]. given #5617 (H,wt=17): 6452 K(x \ y,y) / (y \ T(y * (x \ 1),y)) = x. [hyper(72,a,6450,a(flip),b,6142,a)]. given #5618 (H,wt=17): 6453 x * (y \ K(y \ x,x)) = T(x * (y \ 1),x). [para(6452(a,1),140(a,1,2,1))]. given #5619 (H,wt=21): 6143 K(x \ 1,x) * (x \ y) = y * T(y \ (x \ y),T(x,z)). [para(2594(a,1),4964(a,1,1))]. given #5620 (H,wt=19): 6455 x * T(x \ (y \ x),T(y,z)) = ((y \ 1) \ 1) \ x. [hyper(5875,a,6143,a),flip(a)]. given #5621 (H,wt=21): 6144 K(x \ 1,y) * (x \ K(x,z)) = K(x,z) * T(x \ 1,y). [para(2696(a,1),4964(a,2,2,1))]. given #5622 (H,wt=21): 6149 K(((x \ 1) / (y / x)) \ 1,z) = (T(y,z) / x) / (y / x). [hyper(5641,a,5006,a)]. given #5623 (H,wt=21): 6164 x / (y * ((z \ (y \ x)) * z)) = K(z,x / (z / (y \ 1))). [para(4517(a,1),5527(a,1,2))]. given #5624 (H,wt=17): 6457 K(x,y / (x / (z \ 1))) = K(x,y / (x * z)). [hyper(228,a,6163,a(flip),b,6164,a(flip))]. given #5625 (H,wt=21): 6167 K(x,((y \ z) \ K(y,u)) * w) = K(x,(T(y,u) \ z) \ w). [para(5004(a,1),5546(a,1,2,1)),flip(a)]. given #5626 (H,wt=21): 6190 K(((1 / x) / (y / x)) \ 1,z) * (y / x) = T(y,z) / x. [para(16(a,1),5847(a,1,1,1)),flip(a)]. given #5627 (H,wt=21): 6192 x * K(x,y \ ((z \ 1) * u)) = T(x,y \ ((1 / z) * u)). [para(5897(a,1),4705(a,2,2)),flip(a)]. given #5628 (H,wt=19): 6458 T(x,y \ ((1 / z) * u)) = T(x,y \ ((z \ 1) * u)). [hyper(4708,a,6192,a),flip(a)]. given #5629 (H,wt=21): 6203 K(x,y \ K(y,z)) * z = z * K(x,(z \ (z * y)) \ 1). [para(4798(a,1),5964(a,1,1,2))]. given #5630 (H,wt=17): 6460 K(x,y \ K(y,z)) * z = z * K(x,y \ 1). [para(13(a,1),6203(a,2,2,2,1))]. given #5631 (H,wt=20): 6461 x * K(y,z \ 1) != u * x | K(y,z \ K(z,x)) = u. [para(6460(a,1),20(a,1))]. given #5632 (H,wt=21): 6293 (L(x,y,z) * K(x,u)) \ w = K(u,x) * (L(x,y,z) \ w). [hyper(228,a,4158,a(flip),b,5051,a(flip))]. given #5633 (H,wt=21): 6325 K(x,(y * (z / u)) \ (y * z)) != w | L(K(x,u),z,y) = w. [para(104(a,1),6323(a,1,2))]. given #5634 (H,wt=21): 6345 (x * (y * z)) * u != x * (z * y) | K(z,L(y,z,x)) = u. [para(6344(a,1),19(a,1)),flip(a)]. given #5635 (H,wt=21): 6378 K(x,(y * z) \ (y * u)) != w | L(K(x,z \ u),u,y) = w. [para(102(a,1),6324(a,1,2))]. given #5636 (H,wt=21): 6393 (x * (1 / (y * x))) / (1 / T(y,x)) = K(x,(y * x) \ 1). [hyper(228,a,3240,a(flip),b,4796,a)]. given #5637 (H,wt=21): 6404 K(x,y) * T(y,y * x) != z * u | z \ L(y,x,y) = u. [para(2504(a,1),5324(a,1))]. given #5638 (H,wt=21): 6411 (x * T(y,L(z,y,x))) \ (x * (y * z)) = L(T(z,y),y,x). [hyper(228,a,40,a,b,5518,a)]. given #5639 (H,wt=21): 6415 K(x,(y / R(y,z,u)) \ x) = K(x,x * (y \ R(y,z,u))). [para(3527(a,2),5542(a,1,2,1))]. given #5640 (H,wt=21): 6419 T(T(1 / ((x * y) \ x),z),y) = T(1 / ((x * y) \ x),z). [hyper(17,a,198,a(flip),b,5691,a)]. given #5641 (H,wt=21): 6421 x * K((x \ (y * z)) \ 1,y) = z * ((y \ (z \ x)) * y). [hyper(4520,a,5844,a),flip(a)]. given #5642 (H,wt=19): 6464 x * K((y * z) \ x,y) = z * ((y \ (z \ x)) * y). [para(5601(a,1),6421(a,1,2))]. given #5643 (H,wt=21): 6443 (x * (y * K(z,u))) \ (x * y) != w | L(K(u,z),y,x) = w. [para(6439(a,1),284(a,1,2)),flip(b)]. given #5644 (H,wt=21): 6447 L(K(x,y),z,u) \ K(x,w) = K(x,w) * L(K(y,x),z,u). [hyper(228,a,1761,a(flip),b,6445,a)]. given #5645 (H,wt=21): 6456 K(((1 / x) / (y / x)) \ 1,z) = (T(y,z) / x) / (y / x). [hyper(228,a,5895,a,b,6149,a(flip)),flip(a)]. given #5646 (H,wt=21): 6462 (x * (1 / (y * x))) / (1 / T(y,x)) = K(x,x \ (y \ 1)). [hyper(228,a,5934,a(flip),b,6393,a)]. given #5647 (H,wt=22): 4803 L(T(x \ y,z) \ 1,x \ y,x) = y \ (x * K(z,x \ y)). [para(4647(a,2),101(a,1,2,2)),flip(a)]. given #5648 (H,wt=22): 4817 (x * y) * L(z,y * x,K(x,y)) = K(x,y) * ((y * x) * z). [para(4671(a,1),100(a,1,1))]. given #5649 (H,wt=22): 4863 T(x,y) * K(y * R(x,z,u),T(x,y)) = R(x,y,R(x,z,u)). [hyper(18,a,1673,a,b,4715,a)]. given #5650 (H,wt=22): 4903 L(L(K(x,y),z,u),K(y,x),w) = L((w * K(y,x)) \ w,z,u). [para(4879(a,1),358(a,1,1,1))]. given #5651 (H,wt=18): 6468 L(L(K(x,y),z,u),K(y,x),w) = L(K(x,y),z,u). [para(5037(a,1),4903(a,2,1))]. given #5652 (H,wt=22): 4986 (K(x,y) * z) * u != T(x,y) * z | T(x,K(x,y) * z) = u. [para(4675(a,1),172(a,2))]. given #5653 (H,wt=22): 4999 K(x * y,z) * (x * (y * u)) = T(x * y,z) * L(u,y,x). [para(28(a,2),4676(a,1,2)),flip(a)]. given #5654 (H,wt=22): 5030 K(R(x,y,z),u) * (R(x,y,z) * w) = R(T(x,u),y,z) * w. [para(42(a,2),4720(a,2,1))]. given #5655 (H,wt=22): 5068 L(K(x,y),z * K(y,x),u) = (u * (z * K(y,x))) \ (u * z). [para(5037(a,1),102(a,1,1))]. given #5656 (H,wt=17): 6474 L(K(x,y),z * K(y,x),u) = L(K(x,y),z,u). [hyper(228,a,6437,a(flip),b,5068,a)]. given #5657 (H,wt=22): 5069 K(x,y) != z | (((u \ w) \ w) * K(y,x)) \ T(u,u \ w) = z. [para(5037(a,1),624(a,1))]. given #5658 (H,wt=22): 5101 (x * T(y,z)) / x != u * w | u \ T(y * K(x,y),z) = w. [para(4742(a,1),577(a,1,1,2))]. given #5659 (H,wt=22): 5122 ((x * y) / x) * z != K(x,y) | T(1 / y,(x * y) / x) = z. [para(4847(a,2),172(a,2))]. given #5660 (H,wt=22): 5152 (R(x,y,z) * u) / (R(T(x,w),y,z) * u) = K(w,R(x,y,z)). [para(42(a,2),4995(a,1,2,1))]. given #5661 (H,wt=22): 5158 L(T(x,y),z,u) \ (L(x,z,u) * w) = K(y,L(x,z,u)) * w. [para(40(a,2),5003(a,1,1))]. given #5662 (H,wt=22): 5173 (L(x,y,z) \ u) / (L(T(x,w),y,z) \ u) = K(L(x,y,z),w). [para(40(a,2),5025(a,1,2,1))]. given #5663 (H,wt=22): 5210 R(K(x,y),x / y,z) \ ((x / T(y,x)) * z) = (x / y) * z. [para(5168(a,1),141(a,1,2,1))]. given #5664 (H,wt=22): 5221 L(x \ 1,x,y * K(x,z)) = (y * T(x,z)) \ (y * K(x,z)). [para(5177(a,1),161(a,2,1))]. given #5665 (H,wt=22): 5297 T(K(x * (1 / y),y \ 1) / y,x) = R(1 / y,x,1 / y). [para(3250(a,1),4836(a,1,1))]. given #5666 (H,wt=22): 5316 (((x \ y) \ y) * K(z,u)) \ T(x,x \ y) != w | K(u,z) = w. [para(245(a,1),5085(a,1,1))]. given #5667 (H,wt=22): 5370 L(x,y,z) \ K(x,L(x,y,z) \ 1) = (L(x,y,z) \ x) / x. [para(1364(a,1),4702(a,2,1))]. given #5668 (H,wt=22): 5564 K(x,((y * z) * u) \ (y * (z * u))) = K(x,a(y,z,u) \ 1). [para(24(a,2),5558(a,1,2,1)),flip(a)]. given #5669 (H,wt=22): 5722 T(x,y) * (T(x,z) \ u) != w | K(x,y) * (K(z,x) * u) = w. [para(4997(a,1),5031(a,1,2))]. given #5670 (H,wt=22): 5733 (x * y) * K(y * x,z) != u | K(x,y) * T(y * x,z) = u. [para(4671(a,1),5201(a,1,1))]. given #5671 (H,wt=22): 5736 (x / T(y,z)) * T(y,u) != w | (x * K(z,y)) * K(y,u) = w. [para(5264(a,1),5248(a,1,1))]. given #5672 (H,wt=22): 5747 (x * y) * K(y,y \ 1) != z | (x * K(y,y \ 1)) * y = z. [para(2895(a,2),5487(a,1))]. given #5673 (H,wt=22): 5765 K(x \ y,T(x / y,T(y,x))) != z | K(x \ y,y \ x) = z. [para(2472(a,2),5671(a,1))]. given #5674 (H,wt=22): 5770 R(x,y,z) * K(x,u) != w | T(x,u) * (x \ R(x,y,z)) = w. [para(3160(a,2),5723(a,1))]. given #5675 (H,wt=22): 5773 K(x,x \ 1) * (x * y) != z | x * (K(x,x \ 1) * y) = z. [para(2973(a,2),5727(a,1))]. given #5676 (H,wt=22): 5806 T(T(x * K(x \ y,x),y),z) = L(T(x,z),x \ T(y,x),x). [para(4633(a,1),4255(a,1,1,1))]. given #5677 (H,wt=19): 6480 L(T(x,y),x \ T(z,x),x) = T(L(x,x \ z,x),y). [para(4632(a,1),5806(a,1,1)),flip(a)]. given #5678 (H,wt=19): 6481 L(T(x,y),x \ T(z,x),x) = L(T(x,y),x \ z,x). [hyper(228,a,40,a,b,6480,a)]. given #5679 (H,wt=22): 5808 T(x \ T(x,y \ 1),z) != u | x \ T(x,T(y,z) \ 1) = u. [para(4698(a,2),4857(a,1))]. given #5680 (H,wt=22): 6071 T(x,(y \ z) \ x) * K(z \ y,x) = L(x,(y \ z) \ 1,x). [para(5601(a,1),5322(a,1,2))]. given #5681 (H,wt=22): 6079 x \ (y \ ((z \ (y * x)) * z)) != u | K((y \ z) \ x,z) = u. [para(893(a,1),5498(a,1,2))]. given #5682 (H,wt=18): 6484 K((x / y) \ z,x) != u | K((y \ x) \ z,x) = u. [para(6159(a,1),6079(a,1))]. given #5683 (H,wt=22): 6120 K(R(x,y,z) \ 1,u) * (y * z) = (K(x \ 1,u) * y) * z. [para(6117(a,1),109(a,1,1))]. given #5684 (H,wt=22): 6121 R(K((x / y) \ 1,z),y,u) = K(((x * u) / (y * u)) \ 1,z). [para(110(a,1),6117(a,2,1,1))]. given #5685 (H,wt=20): 6485 R(K(x \ y,x),y,z) = K(((x * z) / (y * z)) \ 1,x). [para(5628(a,1),6121(a,1,1))]. given #5686 (H,wt=22): 6130 (x * y) \ (x * (y * K(z \ 1,u))) = K(L(z,y,x) \ 1,u). [hyper(228,a,28,a(flip),b,6126,a(flip)),flip(a)]. given #5687 (H,wt=20): 6487 K(L(x,y,z) \ 1,u) != w | L(K(x \ 1,u),y,z) = w. [para(6130(a,1),456(a,1))]. given #5688 (H,wt=22): 6131 (x * y) * K(L(z,y,x) \ 1,u) = x * (y * K(z \ 1,u)). [para(6126(a,1),100(a,1,2))]. given #5689 (H,wt=22): 6148 T(x,y) * z != R(x,u,w) * K(x,y) | x \ R(x,u,w) = z. [para(4989(a,1),19(a,1)),flip(a)]. given #5690 (H,wt=22): 6152 K(((x \ 1) * (x * y)) \ z,u) = K(L(y,x,x \ 1) \ z,u). [para(2993(a,1),5358(a,1,1,1)),flip(a)]. given #5691 (H,wt=22): 6161 (x \ T(y,z)) * K(z,(x \ 1) \ (x \ y)) != u | x \ y = u. [para(5491(a,1),5065(a,1,1)),flip(b)]. given #5692 (H,wt=22): 6201 K(x,(y / z) \ 1) * z != z * u | K(x,(z \ y) \ 1) = u. [para(5964(a,2),19(a,1))]. given #5693 (H,wt=22): 6202 x * K(y,(x \ z) \ 1) != u * x | K(y,(z / x) \ 1) = u. [para(5964(a,1),20(a,1))]. given #5694 (H,wt=22): 6270 (x \ L(y,z,u)) * K(L(y,z,u),w) = x \ L(T(y,w),z,u). [para(40(a,2),6265(a,2,2))]. given #5695 (H,wt=22): 6279 K(x,y) * K(x * y,z) != u | (y * x) \ T(x * y,z) = u. [para(26(a,2),6278(a,1,1))]. given #5696 (H,wt=22): 6296 K(x,L(L(y \ 1,y,z),z * y,u)) = K(x,1 / L(y,z,u)). [para(386(a,2),5559(a,1,2))]. given #5697 (H,wt=22): 6310 L(T(K(x,(y \ z) \ u),w),u,y) = T(K(x,z \ (y * u)),w). [para(6299(a,1),40(a,2,1))]. given #5698 (H,wt=22): 6331 L(K(x \ T(y,z),u),T(y,z),z) = K((z * x) \ (y * z),u). [para(113(a,1),6326(a,2,1,2))]. given #5699 (H,wt=22): 6349 T(1 / (1 / x),y) \ T(x,y) != z | K(T(x,y),1 / x) = z. [para(2311(a,2),5718(a,1))]. given #5700 (H,wt=22): 6350 K(x,(T(y,z) * (y \ u)) \ 1) != w | K(x,u \ K(z,y)) = w. [para(4676(a,2),5767(a,1,2,1))]. given #5701 (H,wt=22): 6362 K(x,(K(y,z) * u) \ w) != v5 | K(x,(u \ K(z,y)) * w) = v5. [para(4894(a,1),6173(a,1,2,1,1))]. given #5702 (H,wt=22): 6371 L(K(x,y * (z \ u)),z \ u,z) = K(x,(z * (y \ 1)) \ u). [para(5548(a,1),6300(a,1,1))]. given #5703 (H,wt=22): 6384 L(K(x * (y \ z),u),y \ z,y) = K((y * (x \ 1)) \ z,u). [para(5637(a,1),6329(a,1,1))]. given #5704 (H,wt=22): 6392 K(L(x,y,z) \ 1,L(x,u,w)) * K(L(x,v5,v6),x \ 1) = 1. [para(6388(a,2),4886(a,1,1))]. given #5705 (H,wt=20): 6491 K(L(x,y,z),L(x,u,w) \ 1) = K(L(x,v5,v6),x \ 1). [hyper(4908,a,6392,a)]. given #5706 (H,wt=17): 6492 K(L(x,y,z),L(x,u,w) \ 1) = K(x,x \ 1). [hyper(228,a,5760,a(flip),b,6491,a)]. given #5707 (H,wt=17): 6493 L(x,y,z) \ K(x,x \ 1) = 1 / L(x,y,z). [hyper(71,a,6492,a(flip),b,1841,a(flip))]. given #5708 (H,wt=17): 6494 L(x,y,z) \ (1 / x) = x \ (1 / L(x,y,z)). [hyper(71,a,6493,a(flip),b,1857,a(flip)),flip(a)]. given #5709 (H,wt=20): 6495 L(x,y,z) \ K(x,L(x,u,w) \ 1) = 1 / L(x,y,z). [para(6099(a,2),6493(a,1,2))]. given #5710 (H,wt=15): 6496 (L(x,y,z) \ x) / x = 1 / L(x,y,z). [hyper(228,a,5370,a(flip),b,6495,a(flip)),flip(a)]. given #5711 (H,wt=15): 6498 (1 / L(x,y,z)) * x = L(x,y,z) \ x. [para(6496(a,1),16(a,1,1))]. given #5712 (H,wt=13): 6499 x / L(x,y,z) = L(x,y,z) \ x. [hyper(228,a,1540,a(flip),b,6498,a(flip)),flip(a)]. given #5713 (H,wt=13): 6500 (L(x,y,z) \ x) * L(x,y,z) = x. [para(6498(a,1),1541(a,1,1))]. given #5714 (H,wt=13): 6502 (L(x,y,z) \ x) \ x = L(x,y,z). [para(6499(a,1),64(a,1,1))]. given #5715 (H,wt=16): 6504 T(L(x,y,z),L(x,y,z) \ x) = L(x,y,z). [hyper(266,a,6500,a)]. given #5716 (H,wt=17): 6501 (1 / x) \ (1 / L(x,y,z)) = L(x,y,z) \ x. [hyper(546,a,6499,a)]. given #5717 (H,wt=22): 6442 (x * (y \ T(y * z,y))) \ (x * z) = L(K(y,y * z),z,x). [para(5292(a,2),6437(a,1,1,2))]. given #5718 (H,wt=22): 6444 (x * (y * T(z,u))) * L(K(u,z),y * z,x) = x * (y * z). [para(5199(a,1),6439(a,1,1,2))]. given #5719 (H,wt=20): 6506 (x * (y * T(z,u))) * K(u,L(z,y,x)) = x * (y * z). [para(6315(a,1),6444(a,1,2))]. given #5720 (H,wt=20): 6507 (x * (y * z)) * K(L(z,y,x),u) = x * (y * T(z,u)). [hyper(5064,a,6506,a)]. given #5721 (H,wt=20): 6508 (x * (y * T(z,u))) \ (x * (y * z)) = K(u,L(z,y,x)). [hyper(77,a,6506,a)]. given #5722 (H,wt=21): 6509 (x * (K(y,z) * y)) * K(y,u) = x * (K(y,z) * T(y,u)). [para(6048(a,1),6507(a,1,2,1))]. given #5723 (H,wt=19): 6511 (x * T(y,z)) * K(y,u) = x * (K(y,z) * T(y,u)). [para(4712(a,2),6509(a,1,1,2))]. given #5724 (H,wt=22): 6465 x * ((y \ (x \ z)) * y) != z * u | K((y * x) \ z,y) = u. [para(6464(a,1),19(a,1))]. given #5725 (H,wt=22): 6470 x / L(L(K(y,z),u,w),K(z,y),v5) = x * L(K(z,y),u,w). [para(6468(a,2),6434(a,1,2))]. given #5726 (H,wt=22): 6475 T((x * y) / x,z) != u * w | u \ T(y * K(x,y),z) = w. [para(417(a,1),5101(a,1))]. given #5727 (H,wt=22): 6476 T(K(x * (y \ 1),y \ 1) / y,x) = R(1 / y,x,1 / y). [para(5345(a,1),5297(a,1,1,1))]. given #5728 (H,wt=22): 6477 K(x,L(y \ L(y,z,u),y,u * z)) = K(x,a(u,z,y) \ 1). [para(470(a,2),5564(a,1,2))]. given #5729 (H,wt=22): 6479 K(x * y,z) * (y * x) != u | K(y,x) * T(x * y,z) = u. [para(4497(a,2),5733(a,1))]. given #5730 (H,wt=22): 6483 T(x,y \ (z * x)) * K(y \ z,x) = L(x,(z \ y) \ 1,x). [para(6309(a,1),6071(a,1,1))]. given #5731 (H,wt=22): 6486 R(K(x \ (y / z),x),y / z,z) = K(((x * z) / y) \ 1,x). [para(16(a,1),6485(a,2,1,1,2))]. given #5732 (H,wt=22): 6490 K(x,L(L(1 / y,y,z),z * y,u)) = K(x,1 / L(y,z,u)). [hyper(228,a,3253,a,b,6296,a(flip)),flip(a)]. given #5733 (H,wt=22): 6513 T(K(x * (y \ 1),y \ 1) / y,x) = R(1 / y,x,y \ 1). [hyper(228,a,3331,a(flip),b,6476,a)]. given #5734 (H,wt=20): 6515 T(K(x \ y,x \ 1) / x,y) = R(1 / x,y,x \ 1). [para(5649(a,1),6513(a,1,1,1))]. given #5735 (H,wt=23): 4636 K(x \ y,x) * ((y \ 1) \ 1) = K(y,y \ 1) * ((x \ y) * x). [para(4623(a,1),2897(a,1,2)),flip(a)]. given #5736 (H,wt=21): 6516 K(x \ y,x) * ((y \ 1) \ 1) = T((x \ y) * x,y \ 1). [hyper(228,a,3727,a(flip),b,4636,a)]. given #5737 (H,wt=23): 4818 K(L(x,y,z),z * y) * (z * (y * x)) = L(x,y,z) * (z * y). [para(100(a,1),4671(a,1,2))]. given #5738 (H,wt=23): 4832 ((x * y) * z) / R(x,y,z) = (y * z) * K(R(x,y,z),y * z). [para(109(a,1),4673(a,1,1))]. given #5739 (H,wt=23): 4851 ((x * ((y * z) / y)) / x) / ((x * z) / x) = K(y,(x * z) / x). [para(911(a,1),4691(a,2,1)),flip(a)]. given #5740 (H,wt=23): 4859 (x * T(y,z)) \ (x * K(y,z)) != u | L(y \ 1,T(y,z),x) = u. [para(4697(a,2),456(a,1,2,2))]. given #5741 (H,wt=22): 6518 L(x \ 1,x,y * K(x,z)) != u | L(x \ 1,T(x,z),y) = u. [para(5221(a,2),4859(a,1))]. given #5742 (H,wt=23): 4864 x / ((y * K(x,y)) * ((x \ 1) \ 1)) = (1 / (1 / x)) / (x * y). [para(4715(a,1),4526(a,1,2)),flip(a)]. given #5743 (H,wt=19): 6519 (1 / (1 / x)) / (x * y) = x / (((x \ 1) \ 1) * y). [para(4753(a,1),4864(a,1,2)),flip(a)]. given #5744 (H,wt=23): 5099 T(x,y * K(x,y)) / (T(x,y) * y) = x / ((y * K(x,y)) * x). [para(4735(a,1),3994(a,1,2))]. given #5745 (H,wt=19): 6521 T(x,y) / (T(x,y) * y) = x / ((y * K(x,y)) * x). [para(4755(a,1),5099(a,1,1))]. given #5746 (H,wt=15): 6522 T(x,y) / (T(x,y) * y) = x / (x * y). [para(4715(a,1),6521(a,2,2))]. given #5747 (H,wt=15): 6523 (x / (x * y)) \ T(x,y) = T(x,y) * y. [para(6522(a,1),64(a,1,1))]. given #5748 (H,wt=23): 5182 (x \ K(x,y)) * T((x \ 1) \ 1,z) = T(x,z) * (x \ K(x,y)). [para(5110(a,1),182(a,1,2,1))]. given #5749 (H,wt=21): 6524 (x \ K(x,y)) * T((x \ 1) \ 1,z) = K(x,y) * K(x,z). [hyper(228,a,6007,a(flip),b,5182,a)]. given #5750 (H,wt=23): 5326 (x * T(y,z)) \ (x * R(y,z,y)) = L(K(y * z,y),T(y,z),x). [para(5303(a,1),28(a,2,2,2)),flip(a)]. given #5751 (H,wt=23): 5336 (x * (y * T(y \ z,u))) / (x * z) = K((x * z) / (x * y),u). [hyper(72,a,851,a(flip),b,4677,a)]. given #5752 (H,wt=23): 5468 ((x * T(x \ y,z)) * u) \ (y * u) = K(z,(x * u) \ (y * u)). [para(1416(a,1),5155(a,1,1))]. given #5753 (H,wt=23): 5469 T(x * T(x \ y,z),u) \ T(y,u) = K(z,T(x,u) \ T(y,u)). [para(2028(a,1),5155(a,1,1))]. given #5754 (H,wt=23): 5547 K(x \ (y \ 1),z * T(u,u \ 1)) = K(x \ (1 / y),z * u). [hyper(228,a,5356,a,b,5377,a)]. given #5755 (H,wt=23): 5764 K(x,L(y \ z,y,u) \ 1) != w | K(x,(u * z) \ (u * y)) = w. [para(102(a,2),5671(a,1,2,1))]. given #5756 (H,wt=23): 5779 K(x,L(y,z \ 1,z) \ z) != u | K(x,((z \ 1) * y) \ 1) = u. [para(190(a,1),5752(a,1,2,1))]. given #5757 (H,wt=23): 5838 x \ (y * (z * T(z \ (y \ x),u))) = K((x \ (y * z)) \ 1,u). [para(852(a,1),4952(a,1,2))]. given #5758 (H,wt=23): 5842 x * K((x \ (y * z)) \ 1,u) = y * (z * T(z \ (y \ x),u)). [hyper(872,a,4954,a),flip(a)]. given #5759 (H,wt=21): 6529 x * K((x \ (y * z)) \ 1,z) = y * ((z \ (y \ x)) * z). [para(113(a,1),5842(a,2,2))]. given #5760 (H,wt=19): 6530 x * K((y * z) \ x,z) = y * ((z \ (y \ x)) * z). [para(5601(a,1),6529(a,1,2))]. given #5761 (H,wt=15): 6531 K((x * y) \ z,y) = K((y * x) \ z,y). [hyper(17,a,6464,a,b,6530,a)]. given #5762 (H,wt=17): 6532 1 / K((x * y) \ z,x) = K(x,(y * x) \ z). [para(6531(a,1),4894(a,1,2))]. given #5763 (H,wt=15): 6533 K(x,(y * x) \ z) = K(x,(x * y) \ z). [hyper(4897,a,6532,a),flip(a)]. given #5764 (H,wt=23): 5846 T(x,y) * T(T(x,y) \ y,z) = y * K((T(y,x) \ x) \ 1,z). [para(3939(a,2),4954(a,2,2,1,1))]. given #5765 (H,wt=21): 6534 x * K((T(x,y) \ y) \ 1,z) = T(y * T(y \ x,z),x). [hyper(228,a,1726,a(flip),b,5846,a(flip))]. given #5766 (H,wt=23): 5878 T(x,(x / y) / x) / ((x / y) \ x) = (x / y) * K(x,1 / y). [hyper(228,a,5704,a,b,5172,a),flip(a)]. given #5767 (H,wt=21): 6536 T(x,1 / y) / ((x / y) \ x) = (x / y) * K(x,1 / y). [para(5692(a,1),5878(a,1,1))]. given #5768 (H,wt=17): 6537 (x / y) * K(x,1 / y) = T(x,1 / y) / y. [para(64(a,1),6536(a,1,2)),flip(a)]. given #5769 (H,wt=23): 5881 ((K(x,y) * z) * u) \ K(w,v5) = (u \ (z \ K(y,x))) * K(w,v5). [para(4893(a,1),5190(a,1,1,2)),flip(a)]. given #5770 (H,wt=23): 5896 K((((1 / x) \ y) \ z) \ u,w) = K((((x \ 1) \ y) \ z) \ u,w). [para(4426(a,1),5357(a,1,1,1))]. given #5771 (H,wt=23): 5902 K(x,(y * (z / (1 / u))) \ w) = K(x,(y * (z / (u \ 1))) \ w). [para(4441(a,1),5391(a,1,2,1)),flip(a)]. given #5772 (H,wt=23): 5907 T(R(x \ y,x,z),x * z) != u | T((x * z) \ (y * z),x) = u. [para(608(a,1),5906(a,1,1))]. given #5773 (H,wt=23): 5911 T(x,y) \ T(z * T(z \ x,x),y) = K((x \ z) \ 1,T(x,y)). [para(4954(a,2),5404(a,1,2,1))]. given #5774 (H,wt=23): 5913 T(T(x * K(y,x),z),u) \ T(T(x,z),u) = K(T(T(x,z),u),y). [para(5396(a,1),5406(a,1,1,1))]. given #5775 (H,wt=23): 5935 K(x,((K(y,z) * u) * w) \ v5) = K(x,(w \ (u \ K(z,y))) * v5). [para(4893(a,1),5545(a,1,2,1,2)),flip(a)]. given #5776 (H,wt=23): 5938 ((x \ 1) \ (x \ y)) / (x \ y) = (y / x) \ ((x \ 1) \ (x \ y)). [para(5023(a,1),5620(a,1,1)),flip(a)]. given #5777 (H,wt=23): 6000 (x / y) * T(K(y \ x,y),z) = (y \ x) * K(z,K(y,y \ x)). [para(5970(a,1),5698(a,1,2)),flip(a)]. given #5778 (H,wt=23): 6018 K(x,y * (((1 / (1 / z)) \ u) * w)) = K(x,y * ((z \ u) * w)). [para(3479(a,1),5898(a,1,2,2))]. given #5779 (H,wt=23): 6020 (x \ T(x * K(y,z),x)) * (K(z,y) * 1) = K(x * K(y,z),x). [para(5035(a,1),5920(a,1,2))]. given #5780 (H,wt=23): 6031 ((x * y) \ z) \ (1 / (x * y)) = z \ K(x * y,y \ (x \ 1)). [para(118(a,1),6029(a,2,2,2))]. given #5781 (H,wt=23): 6057 ((x * K(y,x)) \ ((y * (x * y)) / y)) \ ((y * (x * y)) / y) = x. [para(4845(a,2),4055(a,1,1))]. given #5782 (H,wt=23): 6107 K(x,L(L(y \ 1,z,u),w,v5) \ 1) = L(L(K(x,y),z,u),w,v5). [para(6101(a,1),6097(a,1,1)),flip(a)]. given #5783 (H,wt=23): 6124 K(R(R(1 / x,y,z),u,w) \ 1,v5) = R(R(K(x,v5),y,z),u,w). [para(6118(a,1),6117(a,1,1)),flip(a)]. given #5784 (H,wt=23): 6145 x * (y \ T(y * (x \ (y \ 1)),z)) = K(x \ 1,z) * (y \ 1). [para(868(a,1),4965(a,1,2))]. given #5785 (H,wt=23): 6154 T(x * ((y * (x \ z)) / y),z) / z = K(y,(T(x,z) / z) \ 1). [para(2123(a,1),5361(a,1,1))]. given #5786 (H,wt=23): 6195 K(x,T((y \ 1) * ((z \ y) * z),u)) = K(x,T(K(z \ y,z),u)). [para(4618(a,1),5900(a,1,2,1)),flip(a)]. given #5787 (H,wt=23): 6248 (1 / x) * (K(x,y) * ((1 / x) \ z)) = K((1 / x) \ 1,y) * z. [para(64(a,1),6146(a,1,2,1,1))]. given #5788 (H,wt=19): 6547 (1 / x) * (K(x,y) * ((1 / x) \ z)) = K(x,y) * z. [para(64(a,1),6248(a,2,1,1))]. given #5789 (H,wt=19): 6548 K(x,y) * ((1 / x) * z) = (1 / x) * (K(x,y) * z). [para(13(a,1),6547(a,1,2,2)),flip(a)]. given #5790 (H,wt=23): 6249 (x \ 1) * (K(x,y) * ((x \ 1) \ z)) = K((x \ 1) \ 1,y) * z. [para(2857(a,1),6146(a,1,2,1))]. given #5791 (H,wt=19): 6552 (x \ 1) * (K(x,y) * ((x \ 1) \ z)) = K(x,y) * z. [para(2857(a,1),6249(a,2,1))]. given #5792 (H,wt=19): 6554 K(x,y) * ((x \ 1) * z) = (x \ 1) * (K(x,y) * z). [para(13(a,1),6552(a,1,2,2)),flip(a)]. given #5793 (H,wt=19): 6558 ((x \ 1) * y) / ((x \ 1) * (K(x,z) * y)) = K(z,x). [para(6554(a,1),5040(a,1,2))]. given #5794 (H,wt=19): 6559 ((x \ 1) * (K(y,x) * z)) / ((x \ 1) * z) = K(y,x). [para(5042(a,1),6558(a,1,2,2))]. given #5795 (H,wt=22): 6557 x * (K(x,y) * ((x \ 1) * z)) = L(K(x,y) * z,x \ 1,x). [para(6554(a,2),190(a,1,2))]. given #5796 (H,wt=20): 6561 L(K(x,y) * z,x \ 1,x) = T(x,y) * ((x \ 1) * z). [hyper(5146,a,6557,a),flip(a)]. given #5797 (H,wt=20): 6562 T(x,y) * ((x \ 1) * (K(y,x) * z)) = L(z,x \ 1,x). [para(5042(a,1),6561(a,1,1)),flip(a)]. given #5798 (H,wt=23): 6252 (1 / x) \ K(y,T(z * u,w)) = x * K(y,T((z \ 1) \ u,w)). [para(919(a,1),6179(a,1,2,2)),flip(a)]. given #5799 (H,wt=17): 6563 K(x,T((y \ 1) \ z,u)) = K(x,T(y * z,u)). [hyper(5233,a,6252,a),flip(a)]. given #5800 (H,wt=23): 6280 K(x,y) * (z * K((z \ K(y,x)) \ 1,u)) = T(K(x,y) * z,u). [para(4879(a,1),6189(a,1,2,2,1,1,2))]. given #5801 (H,wt=23): 6311 (x * y) * K(z,u \ (x * y)) = x * (y * K(z,(x \ u) \ y)). [para(6299(a,1),100(a,1,2))]. given #5802 (H,wt=23): 6336 K((x \ y) \ z,z \ (x \ y)) = K(y \ (x * z),z \ (x \ y)). [hyper(4451,a,6328,a)]. given #5803 (H,wt=23): 6337 K((x \ y) \ z,u \ (x * z)) = K(y \ (x * z),(x \ u) \ z). [hyper(228,a,6299,a(flip),b,6328,a(flip)),flip(a)]. given #5804 (H,wt=21): 6567 K((x \ 1) \ y,z \ (x * y)) = K(x * y,(x \ z) \ y). [para(51(a,1),6337(a,2,1))]. given #5805 (H,wt=23): 6338 (x * y) * K(z \ (x * y),u) = x * (y * K((x \ z) \ y,u)). [para(6328(a,1),100(a,1,2))]. given #5806 (H,wt=23): 6351 L(x * K(y,x),z,u) \ L(x,z,u) != w | K(L(x,z,u),y) = w. [para(5819(a,1),5085(a,1,1))]. given #5807 (H,wt=23): 6352 R(x,y,z) \ R(x * K(u,x),y,z) != w | K(u,R(x,y,z)) = w. [para(5822(a,1),284(a,1,2)),flip(b)]. given #5808 (H,wt=23): 6354 R(x * K(y,x),z,u) \ R(x,z,u) != w | K(R(x,z,u),y) = w. [para(5822(a,1),5085(a,1,1))]. given #5809 (H,wt=23): 6355 R(x,y,z) * K(u,R(x,y,z)) != w | R(x * K(u,x),y,z) = w. [para(5832(a,1),213(a,1,2)),flip(b)]. given #5810 (H,wt=23): 6372 (x * y) * K(z \ u,u \ z) = x * (y * K(z \ u,u \ z)). [para(6317(a,1),6316(a,1,2))]. given #5811 (H,wt=23): 6377 K(x,1 / x) * (y / L(x,z,u)) = y / (1 / (1 / L(x,z,u))). [para(6376(a,1),4323(a,1,2)),flip(a)]. given #5812 (H,wt=23): 6383 x * ((x \ y) * K(z \ (x \ y),u)) = y * K((x * z) \ y,u). [para(6329(a,1),441(a,1,2)),flip(a)]. given #5813 (H,wt=23): 6402 K(x,x * y) * (L(y,z,u) * x) = L(y,z,u) * T(x,x * y). [hyper(228,a,4061,a(flip),b,5032,a)]. given #5814 (H,wt=23): 6403 K(x,x * y) * (R(y,z,u) * x) = R(y,z,u) * T(x,x * y). [hyper(228,a,4062,a(flip),b,5033,a)]. given #5815 (H,wt=23): 6412 x / (K(y \ x,y) * ((x \ 1) \ 1)) = (x \ 1) * (y * (x / y)). [hyper(228,a,5073,a,b,5521,a(flip)),flip(a)]. given #5816 (H,wt=21): 6574 x / T((y \ x) * y,x \ 1) = (x \ 1) * (y * (x / y)). [para(6516(a,1),6412(a,1,2))]. given #5817 (H,wt=23): 6420 K((x \ (y / (z \ 1))) \ 1,y) = x \ (((y \ (x / z)) * y) * z). [para(3558(a,1),5839(a,1,2)),flip(a)]. given #5818 (H,wt=21): 6575 K((x \ (y / (z \ 1))) \ 1,y) = K((x \ (y * z)) \ 1,y). [hyper(228,a,5837,a(flip),b,6420,a)]. given #5819 (H,wt=19): 6576 K((x \ (y * z)) \ 1,y) = K((y / (z \ 1)) \ x,y). [hyper(5782,a,6575,a),flip(a)]. given #5820 (H,wt=17): 6577 K((x / (y \ 1)) \ z,x) = K((x * y) \ z,x). [hyper(5782,a,6576,a),flip(a)]. given #5821 (H,wt=23): 6430 K(x,y * (z / ((1 / u) * w))) = K(x,y * ((z \ 1) \ (w \ u))). [para(326(a,1),6429(a,1,2,2,2))]. given #5822 (H,wt=23): 6451 (x * K((x \ y) \ 1,z)) * (x \ 1) = K((y * (x \ 1)) \ 1,z). [para(4954(a,1),6140(a,1,1))]. given #5823 (H,wt=23): 6514 R(K(x \ (y / z),x),y / z,z) != u | K(y / (x * z),x) = u. [para(6486(a,2),6063(a,1))]. given #5824 (H,wt=23): 6517 (x * y) * K(R(y,x,y),x * y) = ((y * x) / R(y,x,y)) * y. [hyper(1671,a,4832,a),flip(a)]. given #5825 (H,wt=22): 6579 ((x * y) / R(x,y,x)) * x = (y * x) * K(T(x,y),y * x). [para(4884(a,1),6517(a,1,2)),flip(a)]. given #5826 (H,wt=20): 6580 ((x * y) / R(x,y,x)) * x = T(x,y * x) * T(y,x). [hyper(228,a,4822,a(flip),b,6579,a)]. given #5827 (H,wt=23): 6525 K(x \ 1,x) * (K(x,y) * K(x,z)) = (x \ K(x,y)) * T(x,z). [para(6524(a,1),3489(a,1,2))]. given #5828 (H,wt=23): 6526 K((x * y) / (x * (z \ y)),u) = (x * (K(z,u) * y)) / (x * y). [para(4988(a,1),5336(a,1,1,2)),flip(a)]. given #5829 (H,wt=23): 6528 K(x,T(y \ z,u) \ T(z,u)) = T(K(y,x) * z,u) \ T(z,u). [para(4988(a,1),5469(a,1,1,1)),flip(a)]. given #5830 (H,wt=23): 6538 R(T(x \ y,x * z),x,z) != u | T((x * z) \ (y * z),x) = u. [para(42(a,2),5907(a,1))]. given #5831 (H,wt=23): 6556 K(x,y) * ((x \ 1) * T(z,K(x,y))) = (x \ 1) * (z * K(x,y)). [para(113(a,1),6554(a,2,2))]. given #5832 (H,wt=23): 6564 K(x,y) * (K(y,x) * T(K(y,x) \ z,u)) = T(K(x,y) * z,u). [para(4954(a,2),6280(a,1,2))]. given #5833 (H,wt=23): 6565 T(K(x,y) * (z * K(y,x)),u) = K(x,y) * (T(z,u) * K(y,x)). [para(5843(a,1),6280(a,1,2)),flip(a)]. given #5834 (H,wt=23): 6583 T(K(x,y) * z,u) * K(y,T(x \ z,u) \ T(z,u)) = T(z,u). [para(6528(a,2),14(a,1,2))]. given #5835 (H,wt=23): 6584 K(x,y) \ T(K(x,y) * z,u) = K(y,x) * T(K(y,x) \ z,u). [hyper(77,a,6564,a)]. given #5836 (H,wt=23): 6587 (K(x,y) * T(K(x,y) \ z,u)) * K(y,x) = T(z * K(y,x),u). [para(6584(a,1),4471(a,1,1))]. given #5837 (H,wt=23): 6588 T((K(x,y) * z) * K(y,x),u) = (K(x,y) * T(z,u)) * K(y,x). [para(13(a,1),6587(a,1,1,2,1)),flip(a)]. given #5838 (H,wt=24): 4763 T(x * y,z) / a(x,y,K(x * y,z)) = x * (y * K(x * y,z)). [hyper(72,a,4705,a,b,89,a)]. given #5839 (H,wt=24): 4839 ((x / y) * (y * K(z,x))) \ ((z * x) / z) = a(x / y,y,K(z,x)). [para(4673(a,2),92(a,1,2))]. given #5840 (H,wt=24): 4849 (x * y) * K(T(y,x),x * y) != z | T(y,x * y) * T(x,y) = z. [para(4673(a,1),4187(a,1))]. given #5841 (H,wt=24): 4904 R(x / (y \ K(z,u)),y \ K(z,u),K(u,z)) = (K(z,u) / x) \ y. [para(4879(a,1),1027(a,1,3))]. given #5842 (H,wt=24): 4970 (x * y) * ((z \ L(y \ z,y,x)) * z) = (x * K(y \ 1,z)) * z. [para(4650(a,1),2131(a,2,1,2))]. given #5843 (H,wt=21): 6590 x * (y * ((z \ (y \ z)) * z)) = (x * K(y \ 1,z)) * z. [hyper(228,a,4584,a(flip),b,4970,a(flip)),flip(a)]. given #5844 (H,wt=19): 6591 (x * K(y \ 1,z)) * z = x * (z * K(y \ 1,z)). [para(4679(a,1),6590(a,1,2)),flip(a)]. given #5845 (H,wt=10): 6592 R(x,K(y \ 1,z),z) = x. [hyper(2517,a,6591,a)]. given #5846 (H,wt=8): 6593 R(x,K(y,z),z) = x. [para(64(a,1),6592(a,1,2,1))]. given #5847 (H,wt=8): 6594 R(x,y,K(z,y)) = x. [hyper(6367,a,6593,a)]. given #5848 (H,wt=15): 6595 (x * K(y,z)) * z = x * (z * K(y,z)). [para(6593(a,1),2516(a,1,1)),flip(a)]. given #5849 (H,wt=15): 6596 (x * y) * K(z,y) = x * (y * K(z,y)). [para(6594(a,1),109(a,1,1)),flip(a)]. given #5850 (H,wt=8): 6604 a(x,y,K(z,y)) = 1. [hyper(70,a,6596,a(flip),b,89,a),flip(a)]. given #5851 (H,wt=10): 6600 L(K(x,y),y,z) = K(x,y). [hyper(445,a,6596,a)]. given #5852 (H,wt=13): 6607 L(K(x,y),y,z) = L(K(x,y),y,u). [hyper(228,a,6600,a,b,6600,a)]. given #5853 (H,wt=13): 6613 L(K(x,y),y,z) != u | K(x,y) = u. [para(6607(a,1),3865(a,1)),flip(b)]. given #5854 (H,wt=14): 6606 K(L(x,y,z),y * x) = K(x,y * x). [hyper(6346,a,6600,a)]. given #5855 (H,wt=14): 6615 K(L(x,y,z),y * x) = K(x,x * y). [hyper(228,a,5433,a(flip),b,6606,a)]. given #5856 (H,wt=15): 6597 (x * K(y,z)) \ (x * (z * K(y,z))) = z. [hyper(77,a,6595,a)]. given #5857 (H,wt=12): 6617 L(T(x,K(y,x)),K(y,x),z) = x. [hyper(721,a,6597,a)]. given #5858 (H,wt=8): 6618 L(x,K(y,x),z) = x. [para(2499(a,1),6617(a,1,1))]. given #5859 (H,wt=15): 6598 (x * K(y,z)) * (y * K(z,y)) = x * y. [para(5062(a,1),6595(a,1,1)),flip(a)]. given #5860 (H,wt=15): 6601 (x * y) * K(z,y) = x * ((z * y) / z). [hyper(228,a,4828,a,b,6596,a)]. given #5861 (H,wt=15): 6602 (x / (y * K(z,y))) * y = x * K(y,z). [hyper(18,a,5066,a(flip),b,6596,a)]. given #5862 (H,wt=15): 6603 K((x \ y) \ z,z) = K(y \ (x * z),z). [hyper(17,a,6338,a,b,6596,a)]. given #5863 (H,wt=15): 6623 (x * y) / ((z * y) / z) = x * K(y,z). [hyper(5432,a,6598,a)]. given #5864 (H,wt=15): 6624 x / (y * K(z,y)) = (x / y) * K(y,z). [hyper(72,a,16,a(flip),b,6598,a)]. given #5865 (H,wt=15): 6629 x / ((y * z) / y) = (x / z) * K(z,y). [hyper(228,a,225,a(flip),b,6623,a(flip)),flip(a)]. given #5866 (H,wt=15): 6633 (x / ((y * z) / y)) * K(y,z) = x / z. [hyper(5064,a,6629,a(flip))]. given #5867 (H,wt=16): 6610 L(L(K(x,y),z,u),y,w) = L(K(x,y),z,u). [para(6600(a,1),45(a,1,1)),flip(a)]. given #5868 (H,wt=17): 6599 (x * y) * (z * K(y,z)) = (x * T(y,z)) * z. [para(5199(a,1),6595(a,1,1)),flip(a)]. given #5869 (H,wt=17): 6616 K(L(x,y,z),y * x) != u | K(x,x * y) = u. [para(6606(a,2),6177(a,1))]. given #5870 (H,wt=17): 6625 (x * ((y * z) / y)) * y = (x * z) * T(y,z). [para(6601(a,1),5177(a,1,1))]. given #5871 (H,wt=17): 6627 (x / (y / (y / z))) * z = x * K(z,z \ y). [para(4621(a,2),6602(a,1,1,2))]. given #5872 (H,wt=17): 6632 x / (y / (y / z)) = (x / z) * K(z,y / z). [para(4829(a,2),6624(a,1,2))]. given #5873 (H,wt=17): 6634 (1 / (x / ((y * z) / y))) \ K(y,z) = x / z. [hyper(5239,a,6633,a)]. given #5874 (H,wt=18): 6608 L(K(x,y \ z),y \ z,u) = K(x,(z \ y) \ 1). [hyper(228,a,5558,a,b,6600,a)]. given #5875 (H,wt=18): 6614 K(x \ (y * z),z) != u | K((y \ x) \ z,z) = u. [para(6328(a,1),6613(a,1))]. given #5876 (H,wt=18): 6638 L(L(K(x,y),z * y,u),y,w) = K(x,L(y,z,u)). [hyper(228,a,6315,a(flip),b,6610,a)]. given #5877 (H,wt=16): 6644 L(K(x,L(y,z,u)),y,w) = K(x,L(y,z,u)). [para(6315(a,1),6638(a,1,1))]. given #5878 (H,wt=19): 6619 (x * K(y,z)) * T(z,u) = x * (K(y,z) * T(z,u)). [para(6618(a,1),450(a,1,2,1))]. given #5879 (H,wt=10): 6646 R(x,K(y,z),T(z,u)) = x. [hyper(476,a,6619,a)]. given #5880 (H,wt=19): 6647 x / (K(y,z) * T(z,u)) = (x / T(z,u)) * K(z,y). [hyper(228,a,5089,a(flip),b,6646,a(flip)),flip(a)]. given #5881 (H,wt=18): 6649 (x / T(y,y * z)) * K(y,z) = x / L(y,z,y). [para(4980(a,1),6647(a,1,2)),flip(a)]. given #5882 (H,wt=18): 6650 (x / T(y,z)) * K(y,y * z) = x / R(y,z,y). [para(4982(a,1),6647(a,1,2)),flip(a)]. given #5883 (H,wt=20): 6626 (x * ((y * z) / y)) * y != u | (x * z) * T(y,z) = u. [para(6601(a,1),5179(a,1,1))]. given #5884 (H,wt=20): 6651 (x / T(y,z)) * T(y,y * z) = (x / R(y,z,y)) * y. [para(6650(a,1),5177(a,1,1)),flip(a)]. given #5885 (H,wt=20): 6652 (x * K(y,z)) * K(z,z * y) = (x / R(z,y,z)) * z. [hyper(5736,a,6651,a)]. given #5886 (H,wt=21): 6620 (x * K(y,z)) * R(z,u,w) = x * (K(y,z) * R(z,u,w)). [para(6618(a,1),451(a,1,2,1))]. given #5887 (H,wt=11): 6653 R(x,K(y,z),R(z,u,w)) = x. [hyper(476,a,6620,a)]. given #5888 (H,wt=21): 6621 (x * K(y,z)) * L(z,u,w) = x * (K(y,z) * L(z,u,w)). [para(6618(a,1),452(a,1,2,1))]. given #5889 (H,wt=11): 6655 R(x,K(y,z),L(z,u,w)) = x. [hyper(476,a,6621,a)]. given #5890 (H,wt=21): 6645 K((x \ y) \ z,L(z,u,w)) = K(y \ (x * z),L(z,u,w)). [hyper(228,a,6328,a(flip),b,6644,a(flip))]. given #5891 (H,wt=21): 6648 (x / T(y \ 1,z)) * K(y \ 1,y) = x / T(1 / y,z). [para(3010(a,1),6647(a,1,2)),flip(a)]. given #5892 (H,wt=21): 6654 x / (K(y,z) * R(z,u,w)) = (x / R(z,u,w)) * K(z,y). [hyper(228,a,5089,a(flip),b,6653,a(flip)),flip(a)]. given #5893 (H,wt=22): 6643 L(T(K(x,y \ z),u),y \ z,w) = T(K(x,(z \ y) \ 1),u). [para(6608(a,1),40(a,2,1))]. given #5894 (H,wt=23): 6628 K(x \ (y * z),z) / (z \ T(z * ((y \ x) \ 1),z)) = y \ x. [para(6603(a,1),6452(a,1,1))]. given #5895 (H,wt=23): 6656 (x / T(y \ 1,z)) \ K(y,y \ 1) = (x / T(1 / y,z)) \ 1. [para(6648(a,1),2373(a,1,1)),flip(a)]. given #5896 (H,wt=24): 5054 R(x,K(y,z),K(z,y) * u) * u = (x * K(y,z)) * (K(y,z) \ u). [para(5035(a,1),303(a,1,1,3))]. given #5897 (H,wt=24): 5076 L((K(x,y) * z) \ u,K(x,y) * z,K(y,x)) = z \ (K(y,x) * u). [para(5042(a,1),102(a,2,1))]. given #5898 (H,wt=24): 5077 R(x,K(y,z),K(z,y) * u) * u = (x * K(y,z)) * (K(z,y) * u). [para(5042(a,1),109(a,1,2))]. given #5899 (H,wt=24): 5098 ((x * y) * (z * K(y,z))) / (T(y,z) * z) = R(x,y,z * K(y,z)). [para(4735(a,1),30(a,2,2)),flip(a)]. given #5900 (H,wt=22): 6658 ((x * T(y,z)) * z) / (T(y,z) * z) = R(x,y,z * K(y,z)). [para(6599(a,1),5098(a,1,1))]. given #5901 (H,wt=15): 6659 R(x,y,z * K(y,z)) = R(x,T(y,z),z). [hyper(489,a,6658,a),flip(a)]. given #5902 (H,wt=24): 5142 (x * (y / x)) \ (y * (K(x,x \ y) * z)) = L(z,K(x,x \ y),y). [para(4915(a,1),28(a,2,1)),flip(a)]. given #5903 (H,wt=24): 5209 (x / T(y,x)) * L(z,x / y,K(x,y)) = K(x,y) * ((x / y) * z). [para(5168(a,1),100(a,1,1))]. given #5904 (H,wt=24): 5252 R(x * y,K(y,x),K(x,z)) \ (y * T(x,z)) = K(y,x) * K(x,z). [para(5199(a,1),510(a,1,2))]. given #5905 (H,wt=24): 5318 T(x,R(T(x,y) \ z,u,w)) != v5 | T(x,R(z / T(x,y),u,w)) = v5. [para(187(a,1),5105(a,1,2))]. given #5906 (H,wt=24): 5445 L(x * K(y,x),z,u) * T(y,x) != w | T(y,x) * L(x,z,u) = w. [para(4890(a,1),821(a,1,1,1))]. given #5907 (H,wt=24): 5473 R(K(x,y),y * z,u) * ((y * z) * u) = (y * (K(x,y) * z)) * u. [para(5164(a,1),109(a,2,1))]. given #5908 (H,wt=24): 5821 (x * L(y,z,u)) / x != w * v5 | L(y * K(x,y),z,u) / v5 = w. [para(4748(a,1),299(a,1,1))]. given #5909 (H,wt=24): 5823 (x * R(y,z,u)) / x != w * v5 | w \ R(y * K(x,y),z,u) = v5. [para(4749(a,1),537(a,1,1))]. given #5910 (H,wt=24): 6064 K(x,x \ 1) * ((1 / x) \ y) != z * u | z \ ((x \ 1) \ y) = u. [para(2985(a,1),5052(a,1,2))]. given #5911 (H,wt=24): 6087 K(x,R(y \ 1,z,u) \ w) != v5 | K(x,R(1 / y,z,u) \ w) = v5. [para(3369(a,1),5799(a,1,2,1))]. given #5912 (H,wt=24): 6291 L(x \ (K(y,z) * (1 / u)),x,K(z,y)) = ((K(z,y) * x) \ 1) / u. [hyper(228,a,304,a,b,5050,a)]. given #5913 (H,wt=24): 6333 L(K((K(x,y) * z) \ u,w),u,K(y,x)) = K(z \ (K(y,x) * u),w). [para(5042(a,1),6326(a,2,1,1))]. given #5914 (H,wt=24): 6347 L(K(x,y),z * T(x,u),w) != v5 | K(L(x,z * K(x,u),w),y) = v5. [para(5177(a,1),6346(a,1,2))]. given #5915 (H,wt=24): 6348 x \ (((y \ (x / z)) * y) * z) != u | K((x \ (y * z)) \ 1,y) = u. [para(1049(a,1),5716(a,1,2))]. given #5916 (H,wt=24): 6358 K(x \ y,x) * T(z,x \ y) != u | (y / x) \ (z * (x \ y)) = u. [para(32(a,2),6019(a,1,2))]. given #5917 (H,wt=24): 6370 L(K(x,K(y,z) * (u \ w)),u \ w,u) = K(x,(u * K(z,y)) \ w). [para(5035(a,1),6300(a,1,1,2))]. given #5918 (H,wt=24): 6385 L(K((x \ y) \ (z \ u),y),z \ u,z) = K((z * (y / x)) \ u,y). [para(6250(a,1),6329(a,1,1))]. given #5919 (H,wt=19): 6663 K((x * (y / z)) \ u,y) = K((x * (z \ y)) \ u,y). [hyper(228,a,6329,a(flip),b,6385,a(flip))]. given #5920 (H,wt=15): 6664 K((x * (y / x)) \ z,y) = K(y \ z,y). [para(14(a,1),6663(a,2,1,1))]. given #5921 (H,wt=24): 6413 (x \ 1) * (y * (x / y)) != z | K(y,y \ x) * K(x \ 1,x) = z. [para(5521(a,1),2358(a,1))]. given #5922 (H,wt=24): 6472 K(R(x,y,z),u) * (x \ R(x,y,z)) = R(T(x,u),y,z) * (x \ 1). [para(1147(a,1),5030(a,1,2))]. given #5923 (H,wt=22): 6665 K(R(x,y,z),u) * (x \ R(x,y,z)) = x \ R(T(x,u),y,z). [hyper(228,a,1692,a(flip),b,6472,a)]. given #5924 (H,wt=22): 6666 K(x,R(y,z,u)) * (y \ R(T(y,x),z,u)) = y \ R(y,z,u). [hyper(5071,a,6665,a)]. given #5925 (H,wt=24): 6510 (x * (y * T(T(z,y),u))) \ (x * (z * y)) = K(u,L(T(z,y),y,x)). [para(113(a,1),6508(a,1,2,2))]. given #5926 (H,wt=22): 6667 (x * (T(y,z) * u)) \ (x * (y * u)) = K(z,L(T(y,u),u,x)). [para(182(a,1),6510(a,1,1,2))]. given #5927 (H,wt=22): 6668 (x * (T(y,z) * u)) \ (x * (y * u)) = K(z,T(L(y,u,x),u)). [para(40(a,1),6667(a,2,2))]. given #5928 (H,wt=24): 6535 T(x * T(x \ y,z),y) != y * u | K((T(y,x) \ x) \ 1,z) = u. [para(6534(a,1),19(a,1))]. given #5929 (H,wt=24): 6541 R(x,x \ 1,(x \ 1) \ (x \ y)) = (y / x) \ ((x \ 1) \ (x \ y)). [hyper(780,a,5938,a)]. given #5930 (H,wt=24): 6581 T(x,(x \ y) * x) * T(x \ y,x) = (y / R(x,x \ y,x)) * x. [para(14(a,1),6580(a,1,1,1)),flip(a)]. given #5931 (H,wt=20): 6670 (x / R(y,y \ x,y)) * y = T(y,x) * T(y \ x,y). [para(4067(a,1),6581(a,1,1)),flip(a)]. given #5932 (H,wt=18): 6671 (x / R(y,y \ x,y)) * y = (y \ x) * T(y,x). [hyper(228,a,3788,a(flip),b,6670,a)]. given #5933 (H,wt=16): 6672 x / R(y,y \ x,y) = y \ (x * K(y,x)). [hyper(18,a,4850,a,b,6671,a)]. given #5934 (H,wt=16): 6673 x / R(y,y \ x,y) = (y * K(x,y)) \ x. [hyper(228,a,5335,a,b,6672,a)]. given #5935 (H,wt=17): 6674 x / ((y \ x) \ T(x,y)) = (y * K(x,y)) \ x. [para(4044(a,1),6673(a,1,2))]. given #5936 (H,wt=17): 6675 ((x * K(y,x)) \ y) \ y = (x \ y) \ T(y,x). [para(6674(a,1),64(a,1,1))]. given #5937 (H,wt=17): 6676 (x \ (y * K(x,y))) \ y = (x \ y) \ T(y,x). [para(5335(a,1),6675(a,1,1))]. given #5938 (H,wt=17): 6677 (x \ ((x * y) / x)) \ y = (x \ y) \ T(y,x). [para(4673(a,2),6676(a,1,1,2))]. given #5939 (H,wt=24): 6660 L(K(x \ y,x) * z,K(x,x \ y),y) = (x * (y / x)) \ (y * z). [para(5042(a,1),5142(a,1,2,2)),flip(a)]. given #5940 (H,wt=25): 4587 (x * y) * ((z \ L(u,y,x)) * z) != w | x * (y * ((z \ u) * z)) = w. [para(4582(a,1),218(a,1,2))]. given #5941 (H,wt=25): 4589 x \ L(y * K(z,z \ 1),u,w) = (x \ L(y,u,w)) * K(z,z \ 1). [para(4576(a,2),4334(a,1,2))]. given #5942 (H,wt=25): 4605 x \ ((x \ L(x,y,z)) * T(x,u)) = T(x,u) * (x \ (x \ L(x,y,z))). [hyper(71,a,4601,a(flip),b,1053,a)]. given #5943 (H,wt=25): 4630 L(x,y \ 1,y) / (L(x,y \ 1,y) / y) = y * K((y \ 1) * x,y). [para(396(a,1),4621(a,2,2,1))]. given #5944 (H,wt=23): 6678 L(x,y \ 1,y) / (L(x,y \ 1,y) / y) = y * K(y \ x,y). [para(4119(a,1),4630(a,2,2))]. given #5945 (H,wt=25): 4819 K(x,y) * ((y * x) * z) != (x * y) * u | L(z,y * x,K(x,y)) = u. [para(4671(a,1),445(a,1,1)),flip(a)]. given #5946 (H,wt=25): 4820 (x * y) \ (K(x,y) * (y * (x * z))) = L(L(z,x,y),y * x,K(x,y)). [para(4671(a,1),447(a,1,1))]. given #5947 (H,wt=25): 4862 T(x \ (x / y),z) \ K(x \ (x / y),z) != u | R(y,x \ 1,x) = u. [para(4703(a,2),4538(a,1))]. given #5948 (H,wt=25): 4945 K(x,R(T(y,x * z),x,z)) != u | K(x,(x * z) \ ((x * y) * z)) = u. [para(1038(a,1),4888(a,1,2))]. given #5949 (H,wt=25): 4973 (x * (y \ 1)) \ (x * (T(y,z) \ 1)) != u | L(K(z,y),y \ 1,x) = u. [para(4664(a,1),456(a,1,2,2))]. given #5950 (H,wt=25): 5296 L(1 / (x \ y),x \ y,x) != z | (y \ x) * K(x \ y,y \ x) = z. [para(784(a,1),4745(a,1))]. given #5951 (H,wt=25): 5366 ((x * y) * ((z * ((x * y) \ x)) / z)) * y = (x * y) * K(z,y \ 1). [para(4692(a,1),2118(a,2,2))]. given #5952 (H,wt=19): 6680 (x * K(y,z \ 1)) * z = (x * z) * K(y,z \ 1). [para(5362(a,1),5366(a,1,1))]. given #5953 (H,wt=23): 6683 (x * (y \ 1)) * K(z,(y \ 1) \ 1) = (x * K(z,y)) * (y \ 1). [para(3236(a,1),6680(a,1,1,2)),flip(a)]. given #5954 (H,wt=19): 6684 (x * K(y,z)) * (z \ 1) = (x * (z \ 1)) * K(y,z). [para(3236(a,1),6683(a,1,2)),flip(a)]. given #5955 (H,wt=25): 5482 x / (K(y,x * K(z,x)) * K(x * K(z,x),z)) = T(x * K(z,x),y). [para(4674(a,1),5170(a,1,1))]. given #5956 (H,wt=25): 5553 K(x,((y \ 1) * ((z \ 1) \ u)) \ w) = K(x,((z / (1 / u)) \ y) * w). [para(946(a,1),5548(a,1,2,1))]. given #5957 (H,wt=23): 6685 K(x,((y / (1 / z)) \ u) * w) = K(x,(((y \ 1) \ z) \ u) * w). [hyper(6363,a,5553,a),flip(a)]. given #5958 (H,wt=25): 5732 ((x * y) * z) * K(y * z,u) != w | R(x,y,z) * T(y * z,u) = w. [para(109(a,1),5201(a,1,1))]. given #5959 (H,wt=25): 5840 T(x,y) \ T(z * T(z \ x,u),y) = K((T(x,y) \ T(z,y)) \ 1,u). [para(2028(a,1),4952(a,1,2))]. given #5960 (H,wt=21): 6687 K((T(x,y) \ T(z,y)) \ 1,x) = K((x \ z) \ 1,T(x,y)). [hyper(228,a,5911,a(flip),b,5840,a(flip))]. given #5961 (H,wt=19): 6688 K((T(x,y) \ T(z,y)) \ 1,x) = K(z \ x,T(x,y)). [hyper(228,a,5601,a(flip),b,6687,a)]. given #5962 (H,wt=17): 6689 K(T(x,y) \ T(z,y),z) = K(x \ z,T(z,y)). [hyper(5782,a,6688,a)]. given #5963 (H,wt=19): 6690 K(x,T(y,z) \ T(x,z)) = 1 / K(y \ x,T(x,z)). [para(6689(a,1),4894(a,1,2)),flip(a)]. given #5964 (H,wt=17): 6692 K(x,T(y,z) \ T(x,z)) = K(T(x,z),y \ x). [hyper(228,a,4894,a(flip),b,6690,a)]. given #5965 (H,wt=22): 6691 x / K(y \ x,T(x,z)) != u | T(x,T(y,z) \ T(x,z)) = u. [para(6689(a,1),4661(a,1,2))]. given #5966 (H,wt=25): 6153 (x * (y * ((z * (y \ (x \ u))) / z))) / u = K(z,((x * y) / u) \ 1). [para(1249(a,1),5361(a,1,1))]. given #5967 (H,wt=21): 6693 (x * (y * ((x \ z) / y))) / z = K(y,((x * y) / z) \ 1). [para(14(a,1),6153(a,1,1,2,2,1))]. given #5968 (H,wt=19): 6694 (x * (y * ((x \ z) / y))) / z = K(y,z / (x * y)). [hyper(228,a,5410,a(flip),b,6693,a)]. given #5969 (H,wt=22): 6695 (x * (y * ((x \ z) / y))) / z != u | K(y,z / (x * y)) = u. [para(6693(a,2),5579(a,1))]. given #5970 (H,wt=25): 6166 K(x,y * (K(z \ 1,z) / (z \ u))) = K(x,y / ((1 / (1 / z)) \ u)). [para(3063(a,1),5536(a,1,2,2)),flip(a)]. given #5971 (H,wt=23): 6697 K(x,y * (K(z \ 1,z) / (z \ u))) = K(x,y * ((u \ 1) * z)). [hyper(228,a,5426,a(flip),b,6166,a)]. given #5972 (H,wt=17): 6698 K(x,y * ((z \ 1) * u)) = K(x,y / (u \ z)). [hyper(228,a,6165,a(flip),b,6697,a(flip))]. given #5973 (H,wt=17): 6700 K(x,y / (z \ (1 / u))) = K(x,y * (u * z)). [para(64(a,1),6698(a,1,2,2,1)),flip(a)]. given #5974 (H,wt=23): 6701 K(x,y / (z \ (1 / (z \ u)))) = K(x,y * (u * K(z \ u,z))). [para(239(a,2),6700(a,2,2,2))]. given #5975 (H,wt=23): 6702 K(x,y / (z \ ((1 / u) * z))) = K(x,y * (u * K(z \ u,z))). [para(326(a,1),6701(a,1,2,2,2))]. given #5976 (H,wt=21): 6703 K(x,y * (z * K(u \ z,u))) = K(x,y / T(1 / z,u)). [para(32(a,2),6702(a,1,2,2)),flip(a)]. given #5977 (H,wt=19): 6704 K(x,y / T(1 / z,u)) = K(x,y * ((u \ z) * u)). [para(239(a,1),6703(a,1,2,2)),flip(a)]. given #5978 (H,wt=19): 6705 K(x,y / T(z \ 1,u)) = K(x,y * ((u \ z) * u)). [hyper(228,a,5903,a(flip),b,6704,a(flip)),flip(a)]. given #5979 (H,wt=25): 6180 ((1 / (x \ y)) \ z) * (1 / (x \ y)) = z * K(z * (x \ y),y \ x). [para(5555(a,1),5655(a,2,2))]. given #5980 (H,wt=25): 6193 K(x,y \ (((1 / 1) * z) \ K(u,w))) = K(x,y \ ((1 / z) * K(u,w))). [para(5234(a,2),5897(a,2,2,2)),flip(a)]. given #5981 (H,wt=25): 6194 K(x,(y / (1 / (K(z,u) / w))) * v5) = K(x,(y / (w * K(u,z))) * v5). [para(4898(a,1),5899(a,1,2,1,2,2))]. given #5982 (H,wt=25): 6234 (1 / (x \ y)) * (z / (1 / (x \ y))) = z * K(y \ x,z * (x \ y)). [para(5601(a,1),6037(a,2,2))]. given #5983 (H,wt=25): 6288 T((x / (1 / (x \ y))) / x,1 / (y / x)) = x \ (x / ((y / x) \ 1)). [para(6286(a,2),2869(a,1,1))]. given #5984 (H,wt=25): 6307 K(x,T((y \ z) \ 1,z) \ x) = K(x,y \ ((((y \ z) \ 1) \ y) * x)). [para(6027(a,2),6303(a,1,2,1))]. given #5985 (H,wt=25): 6369 L(K(x,R(y,z,y) \ (z \ u)),z \ u,z) = K(x,T(y * z,y) \ u). [para(4040(a,1),6300(a,2,2,1))]. given #5986 (H,wt=25): 6406 (x * (y \ ((z \ (y * (x \ u))) * z))) \ u = K(z,(x * (y \ z)) \ u). [para(893(a,1),5467(a,1,1,2))]. given #5987 (H,wt=25): 6408 (x * (((y \ ((x \ z) * u)) * y) / u)) \ z = K(y,(x * (y / u)) \ z). [para(1468(a,1),5467(a,1,1,2))]. given #5988 (H,wt=25): 6441 (x * (y * K(z,u))) * L(K(u,z),y,x) != w * v5 | (x * y) / v5 = w. [para(6437(a,1),276(a,1,2))]. given #5989 (H,wt=25): 6466 T(x \ y,z) \ T((x \ y) * (y \ x),z) = y \ (x * K(z,x \ y)). [hyper(228,a,2045,a,b,4803,a(flip)),flip(a)]. given #5990 (H,wt=25): 6473 (R(x,y,z) * u) / (R(T(x,w),y,z) * u) != v5 | K(w,R(x,y,z)) = v5. [para(5030(a,1),5047(a,1,2))]. given #5991 (H,wt=25): 6482 L(R(T(x,y),z,u),x \ T(w,x),x) = R(L(T(x,y),x \ w,x),z,u). [para(6481(a,1),44(a,1,1)),flip(a)]. given #5992 (H,wt=25): 6489 (x * (y * K(z \ 1,u))) \ (x * y) != w | K(u,L(z,y,x) \ 1) = w. [para(6131(a,1),5085(a,1,1))]. given #5993 (H,wt=20): 6709 L(K(x,y \ 1),z,u) != w | K(x,L(y,z,u) \ 1) = w. [para(6437(a,1),6489(a,1))]. given #5994 (H,wt=25): 6512 (x / (K(y,z) * L(K(z,y),u,w))) * K(y,z) = x * L(K(y,z),u,w). [hyper(765,a,6470,a)]. given #5995 (H,wt=25): 6520 (1 / (1 / x)) / (x * (T(x,y) \ 1)) = x / (T(x,y) \ ((x \ 1) \ 1)). [para(1587(a,1),6519(a,2,2))]. given #5996 (H,wt=21): 6710 x / (T(x,y) \ ((x \ 1) \ 1)) = (1 / (1 / x)) / K(y,x). [para(4647(a,2),6520(a,1,2)),flip(a)]. given #5997 (H,wt=19): 6711 x / (T(x,y) \ ((x \ 1) \ 1)) = T(1 / (1 / x),y). [hyper(228,a,4737,a(flip),b,6710,a)]. given #5998 (H,wt=17): 6712 x / (x * (1 / T(x,y))) = T(1 / (1 / x),y). [para(3194(a,1),6711(a,1,2))]. given #5999 (H,wt=17): 6713 T(1 / (1 / x),y) \ x = x * (1 / T(x,y)). [para(6712(a,1),64(a,1,1))]. given #6000 (H,wt=25): 6527 (((x / y) * T(y,z)) * u) \ (x * u) = K(z,((x / y) * u) \ (x * u)). [para(64(a,1),5468(a,1,1,1,2,1))]. given #6001 (H,wt=23): 6714 K(x,((y / z) * u) \ (y * u)) = ((y * K(z,x)) * u) \ (y * u). [para(5216(a,1),6527(a,1,1,1)),flip(a)]. given #6002 (H,wt=23): 6715 ((x * K(y,z)) * u) * K(z,((x / y) * u) \ (x * u)) = x * u. [para(6714(a,2),14(a,1,2))]. given #6003 (H,wt=19): 6718 ((x * K(y,z)) * K(y,u)) * K(z,y) = x * K(y,u). [para(5277(a,1),6715(a,1,2,2))]. given #6004 (H,wt=19): 6720 (x * K(y,z)) * K(u,y) = (x * K(u,y)) * K(y,z). [para(5062(a,1),6718(a,1,1,1))]. given #6005 (H,wt=19): 6721 ((x * K(y,z)) * K(u,y)) * K(z,y) = x * K(u,y). [hyper(5064,a,6720,a(flip))]. given #6006 (H,wt=21): 6722 ((x * K(y,z)) * K(z,u)) / z = (x * K(z,u)) / T(z,y). [hyper(72,a,6720,a(flip),b,5257,a)]. given #6007 (H,wt=21): 6724 ((x * K(y,z)) / z) * K(z,u) = (x * K(z,u)) / T(z,y). [hyper(5520,a,6722,a)]. given #6008 (H,wt=19): 6725 (x * K(y,z)) / T(y,u) = (x / T(y,u)) * K(y,z). [para(5264(a,1),6724(a,1,1)),flip(a)]. given #6009 (H,wt=19): 6726 ((x / T(y,z)) * K(y,u)) \ (x * K(y,u)) = T(y,z). [para(6725(a,1),64(a,1,1))]. given #6010 (H,wt=19): 6727 ((x \ y) * K(x,z)) \ (y * K(x,z)) = T(x,x \ y). [para(199(a,1),6726(a,1,1,1))]. given #6011 (H,wt=22): 6723 (x * K(y,z)) * K(z,u) != w | (x * K(z,u)) * K(y,z) = w. [para(6721(a,1),5065(a,1,1)),flip(b)]. given #6012 (H,wt=23): 6717 K(((x / y) * z) \ (x * z),u) = (x * z) \ ((x * K(y,u)) * z). [para(6715(a,1),5037(a,1,1)),flip(a)]. given #6013 (H,wt=25): 6545 R(R(K(x,y),x,x \ z),z,u) = K((((x \ z) * u) / (z * u)) \ 1,y). [para(554(a,1),6124(a,1,1,1)),flip(a)]. given #6014 (H,wt=20): 6728 K((((x \ y) * z) / (y * z)) \ 1,u) = R(K(x,u),y,z). [para(3854(a,1),6545(a,1,1)),flip(a)]. given #6015 (H,wt=18): 6729 K((x * y) / ((z \ x) * y),u) = R(K(z,u),x,y). [hyper(6063,a,6728,a)]. given #6016 (H,wt=15): 6732 K(R(x,x \ y,z),u) = R(K(x,u),y,z). [para(107(a,2),6729(a,1,1))]. given #6017 (H,wt=12): 6733 K(R(x,x \ 1,y),z) = K(x,z). [hyper(228,a,340,a(flip),b,6732,a)]. given #6018 (H,wt=15): 6734 R(K(x,y),x * z,u) = K(R(x,z,u),y). [para(13(a,1),6732(a,1,1,2)),flip(a)]. given #6019 (H,wt=17): 6739 K(R(x,x \ 1,y),L(z,x,x \ 1)) = K(x,z). [hyper(228,a,6360,a(flip),b,6733,a)]. given #6020 (H,wt=18): 6731 R(K(x / y,z),x,u) = K((x * u) / (y * u),z). [para(64(a,1),6729(a,1,1,2,1)),flip(a)]. given #6021 (H,wt=18): 6741 R(K(x / (y / z),u),x,z) = K((x * z) / y,u). [para(16(a,1),6731(a,2,1,2))]. given #6022 (H,wt=19): 6736 K(x,R(y,y \ z,u)) = (w * R(K(y,x),z,u)) \ w. [para(6732(a,1),5037(a,1,1,2)),flip(a)]. given #6023 (H,wt=20): 6735 K(R(x,x \ y,z),u) * (y * z) = (K(x,u) * y) * z. [para(6732(a,2),109(a,1,1))]. given #6024 (H,wt=21): 6740 R(R(K(x,y),z,u),x * w,v5) = R(K(R(x,w,v5),y),z,u). [para(6734(a,1),46(a,1,1)),flip(a)]. given #6025 (H,wt=22): 6737 (x * R(K(y,z),u,w)) \ x != v5 | K(z,R(y,y \ u,w)) = v5. [para(6732(a,1),5085(a,1,1,2))]. given #6026 (H,wt=23): 6738 K(R(x,K(x,y) * (x \ z),u),w) = R(K(x,w),K(x,y) * z,u). [para(4996(a,1),6732(a,1,1,2))]. given #6027 (H,wt=25): 6546 T(((x * y) / x) * (y \ z),z) / z = K(x,(T(y \ z,z) / z) \ 1). [para(806(a,1),6154(a,1,1,1))]. given #6028 (H,wt=21): 6742 K(x,(T(y \ z,z) / z) \ 1) = T(K(x,y) * z,z) / z. [para(5662(a,1),6546(a,1,1,1)),flip(a)]. given #6029 (H,wt=21): 6743 K(x,(T(y \ z,z) / z) \ 1) = z \ T(z * K(x,y),z). [hyper(228,a,4454,a(flip),b,6742,a)]. given #6030 (H,wt=19): 6744 K(x,y / T(z \ y,y)) = y \ T(y * K(x,z),y). [hyper(5579,a,6743,a)]. given #6031 (H,wt=19): 6745 K(x,T(y / z,y) \ y) = y \ T(y * K(x,z),y). [para(4192(a,1),6744(a,1,2))]. given #6032 (H,wt=19): 6746 K(T(x / y,x) \ x,z) = K(y,T(x / z,x) \ x). [hyper(228,a,6410,a,b,6745,a),flip(a)]. given #6033 (H,wt=23): 6747 K(x,T(y / z,y) \ y) * (K(z,x) * 1) = K(y * K(x,z),y). [para(6745(a,2),6020(a,1,1))]. given #6034 (H,wt=21): 6748 K(x,T(y / z,y) \ y) * K(z,x) = K(y * K(x,z),y). [para(12(a,1),6747(a,1,2))]. given #6035 (H,wt=25): 6550 (K(x,y) * z) \ (K(x,y) * ((1 / x) * z)) = T(1 / x,K(x,y) * z). [hyper(71,a,6548,a,b,113,a)]. given #6036 (H,wt=20): 6749 L(T(1 / x,y),y,K(x,z)) = T(1 / x,K(x,z) * y). [hyper(721,a,6550,a)]. given #6037 (H,wt=24): 6750 L(T(K(x,y),z),z,K(x,u)) = K(T(1 / x,K(x,u) * z) \ 1,y). [para(6749(a,1),6135(a,1,1,1)),flip(a)]. given #6038 (H,wt=20): 6751 L(T(K(x,y),z),z,K(x,u)) = T(K(x,y),K(x,u) * z). [hyper(228,a,5856,a(flip),b,6750,a)]. given #6039 (H,wt=25): 6570 x * ((y \ 1) * K(z \ u,u \ z)) = (y / x) \ K(z \ u,u \ z). [hyper(5728,a,6372,a),flip(a)]. given #6040 (H,wt=23): 6753 (x / y) \ K(z \ u,u \ z) = y * (x \ K(z \ u,u \ z)). [para(5131(a,1),6570(a,1,2)),flip(a)]. given #6041 (H,wt=25): 6582 (K(x,y) * K(x,z)) \ K(x,x \ 1) = ((x \ K(x,y)) * T(x,z)) \ 1. [para(6525(a,1),434(a,1,1)),flip(a)]. given #6042 (H,wt=25): 6679 (x * y) \ (y * (K(x,y) * (x * z))) = L(L(z,x,y),y * x,K(x,y)). [para(5164(a,1),4820(a,1,2))]. given #6043 (H,wt=23): 6754 L(L(x,y,z),z * y,K(y,z)) = (y * z) \ (z * (T(y,z) * x)). [para(4720(a,1),6679(a,1,2,2)),flip(a)]. given #6044 (H,wt=21): 6755 L(L(x,y,z),z * y,K(y,z)) != u | L(x,T(y,z),z) = u. [para(6754(a,2),768(a,1))]. given #6045 (H,wt=25): 6706 (x * (y \ ((z \ (y * (x \ u))) * z))) \ u = K(z,(x * (z / y)) \ u). [para(4611(a,1),6408(a,1,1,2))]. given #6046 (H,wt=19): 6756 K(x,(y * (x / z)) \ u) = K(x,(y * (z \ x)) \ u). [hyper(228,a,6406,a(flip),b,6706,a(flip))]. given #6047 (H,wt=15): 6757 K(x,(y * (x / y)) \ z) = K(x,x \ z). [para(14(a,1),6756(a,2,2,1))]. given #6048 (H,wt=19): 6758 K(x,(y * ((z \ x) \ x)) \ u) = K(x,(y * z) \ u). [para(61(a,1),6756(a,1,2,1,2)),flip(a)]. given #6049 (H,wt=19): 6759 K(x,((y / T(z,z \ x)) * z) \ u) = K(x,y \ u). [para(314(a,1),6758(a,1,2,1)),flip(a)]. given #6050 (H,wt=17): 6760 K(x,(y * K(z \ x,z)) \ u) = K(x,y \ u). [para(5257(a,1),6759(a,1,2,1))]. given #6051 (H,wt=15): 6761 K(x,((y \ x) \ x) \ z) = K(x,y \ z). [para(4662(a,1),6760(a,1,2,1)),flip(a)]. given #6052 (H,wt=25): 6707 T(x \ y,z) * (y \ (x * K(z,x \ y))) = T((x \ y) * (y \ x),z). [para(6466(a,1),14(a,1,2))]. given #6053 (H,wt=25): 6708 L(R(T(x,y),z,u),x \ T(w,x),x) = L(R(T(x,y),z,u),x \ w,x). [hyper(228,a,44,a(flip),b,6482,a)]. given #6054 (H,wt=26): 4564 x \ (y * (1 / (z * y))) != u * (1 / (z * y)) | (z * x) \ (z * y) = u. [para(13(a,1),4563(a,1,2,1))]. given #6055 (H,wt=26): 4570 (x * y) \ (x * ((y * z) * K(1 / u,u))) = L(z,y,x) * K(1 / u,u). [para(4335(a,1),4336(a,1,2))]. given #6056 (H,wt=26): 4597 (x \ (y \ z)) \ L(x \ (y \ z),x,y) = ((y * x) \ z) / (x \ (y \ z)). [hyper(72,a,222,a(flip),b,4594,a),flip(a)]. given #6057 (H,wt=23): 6763 ((x * y) \ z) / (y \ (x \ z)) = (y \ (x \ z)) \ ((x * y) \ z). [para(222(a,1),4597(a,1,2)),flip(a)]. given #6058 (H,wt=22): 6764 a(1 / (x * (x \ y)),x,z) = (z \ (x \ y)) \ ((x * z) \ y). [hyper(228,a,1498,a,b,6763,a(flip)),flip(a)]. given #6059 (H,wt=18): 6765 (x \ (y \ z)) \ ((y * x) \ z) = a(1 / z,y,x). [para(14(a,1),6764(a,1,1,2)),flip(a)]. given #6060 (H,wt=26): 4844 ((x * y) * L(y,z,u)) / (x * L(y,z,u)) = y * K(x * L(y,z,u),y). [para(1537(a,1),4673(a,1,1))]. given #6061 (H,wt=20): 6766 T(x * K(y * L(x,z,u),x),y) = R(x,y,L(x,z,u)). [para(4844(a,1),729(a,2,1)),flip(a)]. given #6062 (H,wt=22): 6767 T(x,y) * K(y * L(x,z,u),T(x,y)) = R(x,y,L(x,z,u)). [hyper(5407,a,6766,a)]. given #6063 (H,wt=26): 4846 ((x * y) * R(y,z,u)) / (x * R(y,z,u)) = y * K(x * R(y,z,u),y). [para(1663(a,1),4673(a,1,1))]. given #6064 (H,wt=26): 4969 (x * y) * (z * T(z \ L(y \ z,y,x),u)) = (x * K(y \ 1,u)) * z. [para(4650(a,1),2130(a,2,1,2))]. given #6065 (H,wt=26): 4983 (x * ((K(x,y) * z) * u)) \ ((T(x,y) * z) * u) = a(x,K(x,y) * z,u). [para(4675(a,1),24(a,2,2,1)),flip(a)]. given #6066 (H,wt=26): 5084 (x * y) \ ((x * (y * K(z,u))) * K(u,z)) = a(x,y * K(z,u),K(u,z)). [para(5062(a,1),24(a,2,1,2)),flip(a)]. given #6067 (H,wt=26): 5109 R(x,y,z) * (x * (((u * R(x,y,z)) / u) \ 1)) = x * K(R(x,y,z),u). [para(4797(a,2),1220(a,2,2))]. given #6068 (H,wt=26): 5219 (x * (y * T(z,u))) \ ((x * (y * K(z,u))) * z) = a(x,y * K(z,u),z). [para(5177(a,1),24(a,2,1,2)),flip(a)]. given #6069 (H,wt=26): 5314 ((x * K(y,z)) \ (u \ 1)) * u != w | K(z,y) * ((x \ (u \ 1)) * u) = w. [para(4529(a,1),5072(a,1))]. given #6070 (H,wt=26): 5726 T(x \ y,z) * ((y \ x) * K(z,x \ y)) != u | (x \ y) * (y \ x) = u. [para(2080(a,1),5160(a,1,2))]. given #6071 (H,wt=26): 5778 K(x,y * K(x,z)) * K(y * T(x,z),x) = x \ R(x,y * K(x,z),x). [para(5177(a,1),5743(a,1,2,1))]. given #6072 (H,wt=26): 5820 L(L(x,y,z) * K(u,L(x,y,z)),w,v5) * u = u * L(L(x,w,v5),y,z). [para(45(a,1),4748(a,2,2))]. given #6073 (H,wt=23): 6771 L(L(x * K(y,x),z,u),w,v5) * y = y * L(L(x,w,v5),z,u). [para(5819(a,1),5820(a,1,1,1))]. given #6074 (H,wt=26): 6062 (x * (y * T(y \ z,u))) / (x * z) != w | K((x * z) / (x * y),u) = w. [para(851(a,1),4934(a,1,1))]. given #6075 (H,wt=26): 6108 L(K(L(x,y,z),1 / x),y,z) != u | K(L(x,y,z),L(x,y,z) \ 1) = u. [para(6104(a,2),1874(a,1))]. given #6076 (H,wt=26): 6292 L(K(x,y) * (K(z,u) * w),K(y,x),K(u,z)) = (K(u,z) * K(y,x)) \ w. [para(5035(a,1),5050(a,1,1))]. given #6077 (H,wt=26): 6357 T(x,y) \ T(z * T(z \ x,x),y) != u | K((x \ z) \ 1,T(x,y)) = u. [para(4954(a,2),5904(a,1,2,1))]. given #6078 (H,wt=26): 6467 K(x,y) * ((y * x) * T(z,x * y)) = L(z,y * x,K(x,y)) * (x * y). [hyper(378,a,4817,a),flip(a)]. given #6079 (H,wt=26): 6503 L(x \ (y \ z),x,y) \ (x \ (y \ z)) = (x \ (y \ z)) / ((y * x) \ z). [para(222(a,1),6499(a,1,2)),flip(a)]. given #6080 (H,wt=23): 6774 (x \ (y \ z)) / ((y * x) \ z) = ((y * x) \ z) \ (x \ (y \ z)). [para(222(a,1),6503(a,1,1)),flip(a)]. given #6081 (H,wt=26): 6542 K(x,y * ((z \ L(u,1 / z,z)) * w)) = K(x,y * (((1 / z) * u) * w)). [para(3000(a,1),6018(a,1,2,2,1)),flip(a)]. given #6082 (H,wt=23): 6776 K(x,y * (((1 / z) * u) * w)) = K(x,y * (((z \ 1) * u) * w)). [para(3056(a,1),6542(a,1,2,2,1)),flip(a)]. given #6083 (H,wt=26): 6543 (x * (y * z)) \ K(x * y,y \ (x \ 1)) = L(z,y,x) \ (1 / (x * y)). [para(28(a,2),6031(a,1,1)),flip(a)]. given #6084 (H,wt=26): 6551 (1 / x) * (K(x,y) * z) != u * w | u \ (K(x,y) * ((1 / x) * z)) = w. [para(6548(a,1),437(a,1))]. given #6085 (H,wt=26): 6566 (x * y) * z != x * (y * K(u,(x \ w) \ y)) | K(u,w \ (x * y)) = z. [para(6311(a,1),19(a,1)),flip(a)]. given #6086 (H,wt=26): 6569 (x * y) * z != x * (y * K((x \ u) \ y,w)) | K(u \ (x * y),w) = z. [para(6338(a,1),19(a,1)),flip(a)]. given #6087 (H,wt=26): 6571 (x * ((x \ y) * K(z \ (x \ y),u))) \ y != w | K(u,(x * z) \ y) = w. [para(6383(a,2),5085(a,1,1))]. given #6088 (H,wt=23): 6781 L(K(x,y \ (z \ u)),z \ u,z) != w | K(x,(z * y) \ u) = w. [para(6438(a,1),6571(a,1))]. given #6089 (H,wt=23): 6782 L(K(x,y),z \ u,z) != w | K(x,(z * ((z \ u) / y)) \ u) = w. [para(64(a,1),6781(a,1,1,2))]. given #6090 (H,wt=24): 6780 (x * (y * T(y \ (x \ z),u))) \ z != w | K(u,(x * y) \ z) = w. [para(5241(a,2),6571(a,1,1,2))]. given #6091 (H,wt=25): 6784 L(K(x,y * (z \ u)),z \ u,z) != w | K(x,(z * (y \ 1)) \ u) = w. [para(5548(a,1),6781(a,1,1))]. given #6092 (H,wt=26): 6585 T(K(x,y) * z,u) != K(x,y) * w | K(y,x) * T(K(y,x) \ z,u) = w. [para(6564(a,1),19(a,1))]. given #6093 (H,wt=26): 6586 T(K(x,y) * (z * K(y,x)),u) != K(x,y) * w | T(z,u) * K(y,x) = w. [para(6565(a,2),19(a,1))]. given #6094 (H,wt=26): 6589 T((K(x,y) * z) * K(y,x),u) != w * K(y,x) | K(x,y) * T(z,u) = w. [para(6588(a,2),20(a,1))]. given #6095 (H,wt=26): 6686 K(x,((y / (1 / z)) \ u) * w) != v5 | K(x,(((y \ 1) \ z) \ u) * w) = v5. [para(5553(a,1),6363(a,1))]. given #6096 (H,wt=26): 6719 ((x * K(y,z)) * K(y,u)) * K(z,y) != w * v5 | w \ (x * K(y,u)) = v5. [para(6718(a,2),437(a,1))]. given #6097 (H,wt=26): 6762 (x * y) \ (x * (y * (z * K(1 / u,u)))) = L(z,y,x) * K(1 / u,u). [para(4335(a,1),4570(a,1,2,2))]. given #6098 (H,wt=21): 6786 L(x * K(1 / y,y),z,u) = L(x,z,u) * K(1 / y,y). [hyper(456,a,6762,a)]. given #6099 (H,wt=19): 6787 L((x \ 1) \ 1,y,z) * K(1 / x,x) = L(x,y,z). [para(4734(a,1),6786(a,1,1)),flip(a)]. given #6100 (H,wt=19): 6788 L(x,y,z) * K(x,1 / x) = L((x \ 1) \ 1,y,z). [hyper(5064,a,6787,a)]. given #6101 (H,wt=23): 6789 K(x,1 / x) * (y * L(x,z,u)) = y * L((x \ 1) \ 1,z,u). [para(6788(a,1),4411(a,2,2))]. given #6102 (H,wt=26): 6770 R(x,y,z) * (x * (R((u * x) / u,y,z) \ 1)) = x * K(R(x,y,z),u). [para(792(a,2),5109(a,1,2,2,1))]. given #6103 (H,wt=24): 6790 R(x,y,z) * (R((u * x) / u,y,z) \ x) = x * K(R(x,y,z),u). [para(2022(a,1),6770(a,1,2))]. given #6104 (H,wt=26): 6773 (x * (K(y,z) * u)) / (x * u) != w | K((x * u) / (x * (y \ u)),z) = w. [para(4988(a,1),6062(a,1,1,2))]. given #6105 (H,wt=26): 6779 L(1 / (x * y),y,x) \ (1 / (x * y)) != z | a(x,y,1 / (x * y)) = z. [para(6543(a,1),2009(a,1))]. given #6106 (H,wt=27): 4608 (x * y) * ((z \ ((x * y) \ u)) * z) = x * (y * ((z \ (y \ (x \ u))) * z)). [para(222(a,1),4584(a,1,2,1,2))]. given #6107 (H,wt=27): 4714 (x \ (y * z)) \ (((x \ (y * z)) \ 1) \ 1) = K(x \ (y * z),z \ (y \ x)). [para(3234(a,1),4649(a,2,2)),flip(a)]. given #6108 (H,wt=25): 6791 K(x \ (y * z),(x \ (y * z)) \ 1) = K(x \ (y * z),z \ (y \ x)). [hyper(4931,a,4714,a)]. given #6109 (H,wt=23): 6792 K(x \ (y * z),(y * z) \ x) = K(x \ (y * z),z \ (y \ x)). [hyper(5671,a,6791,a)]. given #6110 (H,wt=25): 6794 K(((x / y) / z) \ 1,x / (z * y)) = K(x \ (z * y),y \ (z \ x)). [hyper(228,a,3700,a,b,6792,a(flip)),flip(a)]. given #6111 (H,wt=25): 6795 K(((x / y) / z) \ 1,(x / y) / z) = K(x \ (z * y),y \ (z \ x)). [hyper(228,a,3496,a,b,6794,a(flip)),flip(a)]. given #6112 (H,wt=23): 6796 K((x / y) \ z,z \ (x / y)) = K(x \ (z * y),y \ (z \ x)). [hyper(6084,a,6795,a)]. given #6113 (H,wt=23): 6797 K((x / y) \ z,z \ (x / y)) = K(x \ (z * y),(z * y) \ x). [hyper(228,a,6792,a,b,6796,a)]. given #6114 (H,wt=26): 6793 K(x \ (y * z),z \ (y \ x)) != u | K(x \ (y * z),(y * z) \ x) = u. [para(6791(a,1),5671(a,1))]. given #6115 (H,wt=26): 6798 K((x \ y) \ z,z \ (x \ y)) != u | K(y \ (x * z),(x * z) \ y) = u. [para(6336(a,2),6793(a,1))]. given #6116 (H,wt=27): 4741 K(x \ y,x) * R(T(x,x \ y),z,u) = y \ ((R(x,z,u) * (x \ y)) * x). [para(4666(a,2),2278(a,1,2,1))]. given #6117 (H,wt=27): 4813 K(a(x,y,z),x * (y * z)) * (((x * y) * z) / (x * (y * z))) = a(x,y,z). [para(89(a,1),4668(a,1,2,1))]. given #6118 (H,wt=27): 5253 ((x * y) * T(z,u)) / ((y * z) * K(z,u)) = R(R(x,y,z),y * z,K(z,u)). [para(5199(a,1),479(a,1,1))]. given #6119 (H,wt=25): 6800 R(R(x,y,z),y * z,K(z,u)) = ((x * y) * T(z,u)) / (y * T(z,u)). [para(5199(a,1),5253(a,1,2)),flip(a)]. given #6120 (H,wt=18): 6801 R(R(x,y,z),y * z,K(z,u)) = R(x,y,T(z,u)). [hyper(228,a,30,a,b,6800,a)]. given #6121 (H,wt=18): 6803 R(R(x,y * z,K(z,u)),y,z) = R(x,y,T(z,u)). [hyper(228,a,46,a,b,6801,a(flip)),flip(a)]. given #6122 (H,wt=21): 6802 R(R(x,y,z),y * z,K(z,u)) != w | R(x,y,T(z,u)) = w. [para(6800(a,2),489(a,1))]. given #6123 (H,wt=27): 5584 K(x / (x / y),y \ x) * K(z,x / (x / y)) = T(x / (x / y),z) \ y. [para(3909(a,1),5471(a,1,2)),flip(a)]. given #6124 (H,wt=23): 6804 K(x,x \ y) * K(z,y / (y / x)) = T(y / (y / x),z) \ x. [para(4885(a,1),5584(a,1,1))]. given #6125 (H,wt=27): 5833 R(x * K(y,x),z,u) \ y = R(x,z,u) \ ((R(x,z,u) * y) / R(x,z,u)). [para(4838(a,2),3908(a,1,1))]. given #6126 (H,wt=27): 5940 K((((x * y) \ x) \ 1) \ z,((x * y) \ x) \ 1) = K(z * ((x * y) \ x),y). [hyper(228,a,5563,a(flip),b,5654,a)]. given #6127 (H,wt=21): 6805 K((((x * y) \ x) \ 1) \ z,y) = K(z * ((x * y) \ x),y). [hyper(228,a,5563,a(flip),b,5940,a(flip)),flip(a)]. given #6128 (H,wt=27): 6032 x \ K((1 / x) \ y,((1 / x) \ y) \ 1) = (y \ 1) \ (1 / ((1 / x) \ y)). [para(282(a,1),6029(a,1,1)),flip(a)]. given #6129 (H,wt=27): 6033 L(x,y,((z \ 1) \ 1) * (T(z,u) \ K(w,z))) = L(x,y,K(w,z) * K(u,z)). [para(6006(a,1),3697(a,2,3))]. given #6130 (H,wt=27): 6157 K(x,y * (((z * (u \ 1)) / z) \ 1)) = K(x,y * ((1 / u) \ K(u \ 1,z))). [para(4798(a,2),5390(a,2,2,2)),flip(a)]. given #6131 (H,wt=25): 6809 K(x,y * (((z * (u \ 1)) / z) \ 1)) = K(x,y * (u * K(u \ 1,z))). [para(5186(a,1),6157(a,2,2,2))]. given #6132 (H,wt=27): 6198 T(x,y) / ((1 / z) \ x) = (1 / z) * K((((1 / z) \ x) \ 1) \ (z \ 1),y). [para(5356(a,1),5923(a,2,2))]. given #6133 (H,wt=27): 6396 T(K(x,y) * K(x,z),K(x,y) \ K(z,x)) = ((K(x,z) * K(x,y)) \ 1) \ 1. [para(5990(a,1),4911(a,2,1,1))]. given #6134 (H,wt=27): 6407 (x * (y * (z * T(z \ (y \ (x \ u)),w)))) \ u = K(w,(x * (y * z)) \ u). [para(852(a,1),5467(a,1,1,2))]. given #6135 (H,wt=25): 6812 (x * (y * ((z \ (y \ (x \ u))) * z))) \ u = K(z,(x * (y * z)) \ u). [para(113(a,1),6407(a,1,1,2,2))]. given #6136 (H,wt=25): 6813 ((x * y) * ((z \ ((x * y) \ u)) * z)) \ u = K(z,(x * (y * z)) \ u). [para(4608(a,2),6812(a,1,1))]. given #6137 (H,wt=27): 6459 T(x,1 / ((y \ ((1 / z) \ 1)) * u)) = T(x,(1 / (1 / u)) \ ((z \ 1) * y)). [para(632(a,2),6458(a,1,2))]. given #6138 (H,wt=23): 6814 T(x,(1 / (1 / y)) \ ((z \ 1) * u)) = T(x,1 / ((u \ z) * y)). [para(64(a,1),6459(a,1,2,2,1,2)),flip(a)]. given #6139 (H,wt=23): 6815 T(x,(1 / (1 / y)) \ ((z \ 1) * u)) = T(x,((u \ z) * y) \ 1). [hyper(228,a,3102,a(flip),b,6814,a)]. given #6140 (H,wt=23): 6816 T(x,(1 / (1 / y)) \ ((z \ 1) * u)) = T(x,y \ ((u \ z) \ 1)). [para(118(a,1),6815(a,2,2))]. given #6141 (H,wt=27): 6463 (x * T(y,L(z * K(y,z),y,x))) \ (x * (y * (z * K(y,z)))) = L(z,y,x). [para(4674(a,1),6411(a,2,1))]. given #6142 (H,wt=23): 6817 (x * T(y,L(z,y,x))) \ (x * (y * (z * K(y,z)))) = L(z,y,x). [para(4756(a,1),6463(a,1,1,2))]. given #6143 (H,wt=21): 6818 (x * T(y,L(z,y,x))) \ (x * (T(y,z) * z)) = L(z,y,x). [para(4735(a,1),6817(a,1,2,2))]. given #6144 (H,wt=27): 6544 x \ K(y * (z \ 1),(z \ 1) \ (y \ 1)) = ((y * (z \ 1)) \ x) \ (z / y). [para(259(a,1),6031(a,1,2)),flip(a)]. given #6145 (H,wt=23): 6819 ((x * (y \ 1)) \ z) \ (y / x) = z \ K(x * (y \ 1),y / x). [para(3256(a,1),6544(a,1,2)),flip(a)]. given #6146 (H,wt=21): 6820 ((x * (y \ 1)) \ z) \ (y / x) = z \ K(x / y,y / x). [para(5633(a,1),6819(a,2,2))]. given #6147 (H,wt=21): 6821 ((x * (y \ 1)) \ z) \ (y / x) = z \ K(y \ x,x \ y). [para(3300(a,1),6820(a,2,2))]. given #6148 (H,wt=27): 6578 K((x * ((1 / y) \ 1)) \ 1,z) / y = (1 / y) * K(((1 / y) \ x) \ 1,z). [hyper(313,a,6451,a)]. given #6149 (H,wt=23): 6822 (1 / x) * K(((1 / x) \ y) \ 1,z) = K((y * x) \ 1,z) / x. [para(64(a,1),6578(a,1,1,1,1,2)),flip(a)]. given #6150 (H,wt=21): 6823 (1 / x) * K(y \ (1 / x),z) = K((y * x) \ 1,z) / x. [para(5601(a,1),6822(a,1,2))]. given #6151 (H,wt=19): 6824 K((x * y) \ 1,x * y) = K(x \ (1 / y),x * y). [hyper(17,a,3459,a,b,6823,a),flip(a)]. given #6152 (H,wt=21): 6825 (1 / x) * K(y \ (x \ 1),z) = K((y * x) \ 1,z) / x. [para(5356(a,1),6823(a,1,2))]. given #6153 (H,wt=23): 6826 K((x * (y \ 1)) \ 1,x * (y \ 1)) = K(x \ y,x * (y \ 1)). [para(61(a,1),6824(a,2,1,2))]. given #6154 (H,wt=25): 6827 (x * K((y / x) \ 1,y / x)) * (x \ 1) = K(y \ x,y * (x \ 1)). [hyper(228,a,3388,a,b,6826,a(flip)),flip(a)]. given #6155 (H,wt=23): 6828 (x * K(y \ x,x \ y)) * (x \ 1) = K(y \ x,y * (x \ 1)). [para(3297(a,1),6827(a,1,1,2))]. given #6156 (H,wt=17): 6829 K(x \ y,x * (y \ 1)) = K(x \ y,y \ x). [hyper(3534,a,6828,a),flip(a)]. given #6157 (H,wt=25): 6830 K(x \ (y \ 1),x * T(y,y \ 1)) = K(x \ (y \ 1),(y \ 1) \ x). [para(114(a,2),6829(a,1,2,2))]. given #6158 (H,wt=21): 6831 K(x \ (y \ 1),(y \ 1) \ x) = K(x \ (1 / y),x * y). [hyper(228,a,5547,a(flip),b,6830,a(flip))]. given #6159 (H,wt=19): 6832 K(x \ (1 / y),x * y) = K(x \ (y \ 1),y * x). [hyper(6168,a,6831,a),flip(a)]. given #6160 (H,wt=19): 6833 K((x * y) \ 1,x * y) = K(x \ (y \ 1),y * x). [hyper(228,a,6824,a,b,6832,a(flip)),flip(a)]. given #6161 (H,wt=27): 6642 (x * K(y,z / (z / u))) * K(u,u \ z) = (x / T(z / (z / u),y)) * u. [para(5264(a,1),6627(a,1,1)),flip(a)]. given #6162 (H,wt=27): 6783 L(K(x,K(y,z) * (u \ w)),u \ w,u) != v5 | K(x,(u * K(z,y)) \ w) = v5. [para(5035(a,1),6781(a,1,1,2))]. given #6163 (H,wt=27): 6807 x \ K((1 / x) \ y,((1 / x) \ y) \ 1) = (y \ 1) \ ((1 / y) * (1 / x)). [para(326(a,1),6032(a,2,2))]. given #6164 (H,wt=25): 6834 x \ K((1 / x) \ y,y \ (1 / x)) = (y \ 1) \ ((1 / y) * (1 / x)). [para(2443(a,1),6807(a,1,2))]. given #6165 (H,wt=23): 6835 (x \ 1) \ ((1 / x) * (1 / y)) = y \ K(y * x,x \ (1 / y)). [para(5634(a,1),6834(a,1,2)),flip(a)]. given #6166 (H,wt=23): 6836 (x \ 1) \ ((1 / x) * (1 / y)) = y \ K(y * x,x \ (y \ 1)). [para(5388(a,1),6835(a,2,2))]. given #6167 (H,wt=21): 6837 x \ K(x * y,y \ (x \ 1)) = K(y,y \ 1) * (1 / x). [hyper(5951,a,6836,a),flip(a)]. given #6168 (H,wt=19): 6838 x \ K(x * y,y \ (x \ 1)) = K(y,y \ 1) / x. [hyper(228,a,3431,a(flip),b,6837,a)]. given #6169 (H,wt=19): 6839 (x \ (x * y)) * (1 / (x * y)) = K(y,y \ 1) / x. [hyper(228,a,4365,a(flip),b,6838,a(flip)),flip(a)]. given #6170 (H,wt=15): 6840 K(x,x \ 1) / y = x * (1 / (y * x)). [para(13(a,1),6839(a,1,1)),flip(a)]. given #6171 (H,wt=17): 6841 (1 / x) * K(y,y \ 1) = y * (1 / (x * y)). [hyper(3455,a,6840,a)]. given #6172 (H,wt=19): 6844 (x * (1 / (y * x))) / z = K(x,x \ 1) / (z * y). [para(6840(a,1),6424(a,1,1))]. given #6173 (H,wt=19): 6845 K(x \ 1,x) / (1 / y) = 1 / (x * (1 / (y * x))). [para(6841(a,1),4898(a,1,2)),flip(a)]. given #6174 (H,wt=19): 6846 (x * (1 / (y * x))) / z = x * (1 / ((z * y) * x)). [hyper(228,a,6840,a(flip),b,6844,a)]. given #6175 (H,wt=19): 6847 1 / (x * (1 / (y * x))) = (x \ 1) * (x / (1 / y)). [hyper(228,a,3463,a(flip),b,6845,a(flip))]. given #6176 (H,wt=21): 6843 (x \ y) * (1 / (z * (x \ y))) = K(x \ y,y \ x) / z. [para(2443(a,1),6840(a,1,1)),flip(a)]. given #6177 (H,wt=17): 6852 K(x \ y,y \ x) / x = (x \ y) * (1 / y). [para(14(a,1),6843(a,1,2,2)),flip(a)]. given #6178 (H,wt=17): 6853 ((x \ y) * (1 / y)) * x = K(x \ y,y \ x). [para(6852(a,1),16(a,1,1))]. given #6179 (H,wt=21): 6848 x * (1 / (((1 / T(y,x)) * y) * x)) = K(x,x \ (y \ 1)). [hyper(228,a,6462,a(flip),b,6846,a(flip))]. given #6180 (H,wt=17): 6856 x * (1 / (K(x,y) * x)) = K(x,x \ (y \ 1)). [para(4646(a,2),6848(a,1,2,2,1))]. given #6181 (H,wt=15): 6857 K(x,x \ (y \ 1)) = x * (1 / T(x,y)). [para(4712(a,2),6856(a,1,2,2)),flip(a)]. given #6182 (H,wt=15): 6858 K(x,x \ (y \ 1)) = x * (K(y,x) / x). [hyper(228,a,4804,a,b,6857,a)]. given #6183 (H,wt=21): 6854 (x \ (x / y)) * (1 / (x / y)) = K(x \ (x / y),y) / x. [para(64(a,1),6852(a,1,1,2)),flip(a)]. given #6184 (H,wt=19): 6860 (x \ (x / y)) * (1 / (x / y)) = K(y \ 1,y) / x. [para(2804(a,1),6854(a,2,1))]. given #6185 (H,wt=17): 6861 x \ K(y \ x,x \ y) = K(y \ 1,y) / x. [hyper(228,a,4366,a(flip),b,6860,a(flip)),flip(a)]. given #6186 (H,wt=15): 6863 K(x \ 1,x) / y = x \ (1 / (y / x)). [hyper(228,a,6233,a(flip),b,6861,a(flip))]. given #6187 (H,wt=15): 6865 x \ (1 / (y / x)) = (x \ 1) * (x / y). [hyper(228,a,3463,a(flip),b,6863,a(flip))]. given #6188 (H,wt=15): 6866 (x \ 1) * (x / (y * x)) = x \ (1 / y). [para(15(a,1),6865(a,1,2,2)),flip(a)]. given #6189 (H,wt=17): 6864 x * (K(y \ 1,y) / x) = K(y \ x,x \ y). [para(6861(a,1),14(a,1,2))]. given #6190 (H,wt=17): 6871 x * ((y \ 1) * (y / x)) = K(y \ x,x \ y). [para(3463(a,1),6864(a,1,2))]. given #6191 (H,wt=19): 6868 (x \ 1) * (1 / ((y * x) * (x \ 1))) = x \ (1 / y). [para(259(a,2),6866(a,1,2))]. given #6192 (H,wt=17): 6872 K(x,(y \ (1 / z)) \ u) = K(x,(z * y) * u). [para(6868(a,1),6197(a,1,2,1))]. given #6193 (H,wt=23): 6842 K(x * y,y \ (x \ 1)) / z = (x * y) * (1 / (z * (x * y))). [para(118(a,1),6840(a,1,1,2))]. given #6194 (H,wt=23): 6849 (x \ y) * (1 / ((z * x) * (x \ y))) = ((x \ y) * (1 / y)) / z. [para(14(a,1),6846(a,1,1,2,2)),flip(a)]. given #6195 (H,wt=21): 6873 K(x \ y,y \ x) / (z * x) = ((x \ y) * (1 / y)) / z. [hyper(228,a,6843,a(flip),b,6849,a(flip)),flip(a)]. given #6196 (H,wt=23): 6851 (x * ((1 / x) * K(y,z))) / u = x * (1 / ((u * K(z,y)) * x)). [para(5048(a,1),6846(a,1,1,2))]. given #6197 (H,wt=23): 6869 K((x \ y) \ z,z \ (x \ y)) = z * (K(y \ x,x \ y) / z). [para(2786(a,1),6864(a,1,2,1)),flip(a)]. given #6198 (H,wt=23): 6870 K((x / y) \ z,z \ (x / y)) = z * (K(x \ y,y \ x) / z). [para(3297(a,1),6864(a,1,2,1)),flip(a)]. given #6199 (H,wt=23): 6876 K(x \ (y * z),(y * z) \ x) = z * (K(x \ y,y \ x) / z). [hyper(6798,a,6869,a)]. given #6200 (H,wt=23): 6877 x \ K(y \ (x * z),(x * z) \ y) = K(y \ z,z \ y) / x. [hyper(71,a,6797,a(flip),b,6870,a(flip))]. given #6201 (H,wt=23): 6878 K((x / y) \ z,z \ (x / y)) = K(x \ (y * z),(y * z) \ x). [hyper(228,a,6870,a,b,6876,a),flip(a)]. given #6202 (H,wt=24): 6850 T(x * (1 / ((y * z) * x)),y) != u | y \ (x * (1 / (z * x))) = u. [para(6846(a,1),647(a,1,1))]. given #6203 (H,wt=25): 6855 ((x \ (y \ z)) * ((1 / z) * y)) * x = K(x \ (y \ z),(y \ z) \ x). [para(326(a,1),6853(a,1,1,2))]. given #6204 (H,wt=25): 6875 x * (1 / ((y * K(z \ 1,z)) * x)) = (x * (z * (1 / (x * z)))) / y. [para(6841(a,1),6851(a,1,1,2)),flip(a)]. given #6205 (H,wt=25): 6879 x * ((1 / x) * K(y \ z,z \ y)) = K(y \ (z * x),(z * x) \ y). [para(3533(a,2),6876(a,2,2)),flip(a)]. given #6206 (H,wt=27): 6808 L(x,y,z * (T(1 / (1 / z),u) \ K(w,z))) = L(x,y,K(w,z) * K(u,z)). [para(3145(a,1),6033(a,1,3))]. given #6207 (H,wt=27): 6810 T(x,y) / ((1 / z) \ x) = (1 / z) * K((((z \ 1) \ x) \ 1) \ (z \ 1),y). [para(5896(a,1),6198(a,2,2))]. given #6208 (H,wt=25): 6881 T(x,y) / ((1 / z) \ x) = K(((((z \ 1) \ x) \ 1) * z) \ 1,y) / z. [hyper(228,a,6825,a(flip),b,6810,a)]. given #6209 (H,wt=15): 6882 T(x,y) / ((1 / z) \ x) = K(x,y) / z. [para(6382(a,1),6881(a,2,1))]. given #6210 (H,wt=27): 6811 T(K(x,y) * K(x,z),K(z,x) * K(y,x)) = ((K(x,z) * K(x,y)) \ 1) \ 1. [para(5989(a,1),6396(a,1,2))]. given #6211 (H,wt=25): 6884 T(K(x,y) * K(x,z),K(z,x) * K(y,x)) = (K(z,x) * K(y,x)) \ 1. [para(6005(a,1),6811(a,2,1))]. given #6212 (H,wt=23): 6885 T(K(x,y) * K(x,z),K(z,x) * K(y,x)) = K(x,y) * K(x,z). [hyper(228,a,5126,a(flip),b,6884,a)]. given #6213 (H,wt=17): 6886 K(K(x,y) * K(x,z),K(z,x) * K(y,x)) = 1. [hyper(36,a,6885,a)]. given #6214 (H,wt=19): 6887 K(K(x,y) * K(x,z),(K(x,y) * K(x,z)) \ 1) = 1. [para(5126(a,2),6886(a,1,2))]. given #6215 (H,wt=19): 6888 K((K(x,y) * K(x,z)) \ 1,K(x,y) * K(x,z)) = 1. [hyper(70,a,6887,a,b,4886,a),flip(a)]. given #6216 (H,wt=24): 6889 K(K(x,y) * K(x,z),(K(x,y) * K(x,z)) \ 1) * u != w | w = u. [para(6887(a,2),73(a,1,1))]. given #6217 (H,wt=27): 6867 x \ (1 / ((y * K(z \ 1,z)) / x)) = (x \ 1) * ((x / y) * K(z,z \ 1)). [para(4374(a,1),6865(a,2,2))]. given #6218 (H,wt=27): 6874 (x * ((1 / x) * K(y \ 1,y))) / z = x * (1 / (z * (x * K(y,y \ 1)))). [para(4407(a,1),6851(a,2,2,2))]. given #6219 (H,wt=25): 6892 x * (1 / (y * (x * K(z,z \ 1)))) = (x * (K(z \ 1,z) / x)) / y. [para(3459(a,1),6874(a,1,1,2)),flip(a)]. given #6220 (H,wt=23): 6893 (x * (K(y \ 1,y) / x)) / z = x * (K(y \ 1,y) / (z * x)). [para(5139(a,1),6892(a,1,2)),flip(a)]. given #6221 (H,wt=21): 6894 x * (K(y \ 1,y) / (z * x)) = K(y \ x,x \ y) / z. [para(6864(a,1),6893(a,1,1)),flip(a)]. given #6222 (H,wt=27): 6891 x \ (1 / (K(y \ 1,y) * (z / x))) = (x \ 1) * ((x / z) * K(y,y \ 1)). [para(3486(a,1),6867(a,1,2,2))]. given #6223 (H,wt=27): 6895 x \ ((1 / (y / x)) * K(z,z \ 1)) = (x \ 1) * ((x / y) * K(z,z \ 1)). [para(5048(a,1),6891(a,1,2))]. given #6224 (H,wt=25): 6896 (x \ 1) * ((x / y) * K(z,z \ 1)) = x \ (z * (1 / ((y / x) * z))). [para(6841(a,1),6895(a,1,2)),flip(a)]. given #6225 (H,wt=23): 6897 x \ (y * (1 / ((z / x) * y))) = ((x \ y) * (1 / y)) * (x / z). [hyper(228,a,4531,a(flip),b,6896,a(flip))]. given #6226 (H,wt=28): 4516 (x * ((y / (y * z)) / x)) * (y * z) = (y * z) * (x * (L(z \ 1,z,y) / x)). [para(161(a,2),4498(a,2,2,2,1))]. given #6227 (H,wt=28): 4518 ((x \ R(1 / y,y,z)) * x) * (y * z) = (y * z) * ((x \ ((y * z) \ z)) * x). [para(162(a,2),4504(a,1,1,1,2))]. given #6228 (H,wt=28): 4606 T(x,y) * (x \ L(x,z,u)) != w * v5 | w \ ((x \ L(x,z,u)) * T(x,y)) = v5. [para(4601(a,2),437(a,1))]. given #6229 (H,wt=28): 4792 T(x * y,z) * a(K(x * y,z),y,T(x,y)) = (K(x * y,z) * y) * T(x,y). [para(4712(a,2),662(a,1,1))]. given #6230 (H,wt=28): 4937 K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)) != z | x \ T(x,y / (x * y)) = z. [para(2726(a,2),4857(a,1))]. given #6231 (H,wt=28): 5294 T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)) = L(z,z \ (x * K(y,z)),z). [para(5264(a,1),4009(a,1,1,2))]. given #6232 (H,wt=28): 5367 K(x,R(y,z,u) \ 1) * (z * u) = ((y * z) * ((x * ((y * z) \ z)) / x)) * u. [para(4692(a,1),2742(a,1,1))]. given #6233 (H,wt=22): 6901 K(x,R(y,z,u) \ 1) * (z * u) = (K(x,y \ 1) * z) * u. [para(5364(a,1),5367(a,2,1))]. given #6234 (H,wt=14): 6903 K(x,R(y,x,z) \ 1) = K(x,y \ 1). [hyper(18,a,3856,a(flip),b,6901,a)]. given #6235 (H,wt=17): 6902 R(K(x,y \ 1),z,u) = K(x,R(y,z,u) \ 1). [hyper(18,a,109,a,b,6901,a),flip(a)]. given #6236 (H,wt=17): 6907 K(x,R(y \ 1,z,u) \ 1) = R(K(x,y),z,u). [para(3236(a,1),6902(a,1,1)),flip(a)]. given #6237 (H,wt=17): 6911 R(K(x,y),z,u) \ w = R(K(y,x),z,u) * w. [para(6907(a,1),6125(a,1,1)),flip(a)]. given #6238 (H,wt=15): 6913 R(K(x,y),z,u) \ 1 = R(K(y,x),z,u). [hyper(2697,a,6911,a)]. given #6239 (H,wt=17): 6912 (x * R(K(y,z),u,w)) \ x = R(K(z,y),u,w). [hyper(4561,a,6911,a)]. given #6240 (H,wt=15): 6919 K(x,R(y,y \ z,u)) = R(K(x,y),z,u). [hyper(6737,a,6912,a)]. given #6241 (H,wt=12): 6926 R(K(x,y),T(y,z),u) = K(x,y). [para(3793(a,1),6919(a,1,2)),flip(a)]. given #6242 (H,wt=13): 6929 K(x,y) != z | R(K(x,y),y,u) = z. [para(6926(a,1),6082(a,1))]. given #6243 (H,wt=15): 6923 R(K(x,y),y * z,u) = K(x,R(y,z,u)). [para(13(a,1),6919(a,1,2,2)),flip(a)]. given #6244 (H,wt=14): 6930 K(x * y,R(x,y,z)) = K(x * y,x). [hyper(4142,a,6923,a),flip(a)]. given #6245 (H,wt=17): 6920 (x * R(K(y,z),u,w)) * R(K(z,y),u,w) = x. [para(6912(a,1),14(a,1,2))]. given #6246 (H,wt=18): 6914 (x * y) / ((K(z,u) * x) * y) = R(K(u,z),x,y). [hyper(567,a,6911,a)]. given #6247 (H,wt=18): 6915 R(K(x,y),z,u) \ (z * u) = (K(y,x) * z) * u. [hyper(228,a,109,a(flip),b,6911,a)]. given #6248 (H,wt=18): 6917 R(K(x,y),z,u) \ 1 != w | R(K(y,x),z,u) = w. [para(6911(a,2),81(a,1)),flip(b)]. given #6249 (H,wt=18): 6925 K(x,(y * z) / ((u \ y) * z)) = R(K(x,u),y,z). [para(107(a,1),6919(a,1,2))]. given #6250 (H,wt=18): 6936 R(K(x,y / z),y,u) = K(x,(y * u) / (z * u)). [para(64(a,1),6925(a,1,2,2,1)),flip(a)]. given #6251 (H,wt=18): 6938 R(K(x,y / (z / u)),y,u) = K(x,(y * u) / z). [para(16(a,1),6936(a,2,2,2))]. given #6252 (H,wt=18): 6940 R(K(x,(y / z) \ x),x,z) = K(x,(x * z) / y). [para(5108(a,1),6938(a,1,1))]. given #6253 (H,wt=15): 6941 K(x,(x * y) / z) = K(x,(z / y) \ x). [hyper(4142,a,6940,a),flip(a)]. given #6254 (H,wt=18): 6943 K(x,(x * y) / z) != u | K(x,(z / y) \ x) = u. [para(6940(a,1),4142(a,1))]. given #6255 (H,wt=19): 6908 K(x,R(y / z,u,w) \ 1) = R(K(x,z / y),u,w). [para(5410(a,1),6902(a,1,1)),flip(a)]. given #6256 (H,wt=19): 6909 K(x,R(y \ z,u,w) \ 1) = R(K(x,z \ y),u,w). [para(5558(a,1),6902(a,1,1)),flip(a)]. given #6257 (H,wt=19): 6910 T(x,R(y \ 1,z,u) \ 1) = x * R(K(x,y),z,u). [para(6907(a,1),4705(a,2,2))]. given #6258 (H,wt=19): 6922 K(x,R(y,T(y,x) \ z,u)) = R(K(x,T(y,x)),z,u). [hyper(4944,a,6919,a)]. given #6259 (H,wt=17): 6947 K(x,R(y,T(y,x) \ z,u)) = R(K(x,y),z,u). [para(4871(a,1),6922(a,2,1))]. given #6260 (H,wt=19): 6928 (K(x,y) * T(y,z)) * u = K(x,y) * (T(y,z) * u). [para(6926(a,1),109(a,1,1)),flip(a)]. given #6261 (H,wt=10): 6948 L(x,T(y,z),K(u,y)) = x. [hyper(445,a,6928,a)]. given #6262 (H,wt=19): 6931 K(R(x,y * z,u) \ 1,y) = K(x \ 1,R(y,z,u)). [hyper(228,a,6117,a(flip),b,6923,a(flip)),flip(a)]. given #6263 (H,wt=19): 6932 R(T(K(x,y),z),y * u,w) = T(K(x,R(y,u,w)),z). [para(6923(a,1),42(a,2,1))]. given #6264 (H,wt=20): 6905 K(x,R(R(y,x,z),u,w) \ 1) = K(x,R(y,u,w) \ 1). [para(46(a,1),6903(a,1,2,1))]. given #6265 (H,wt=20): 6934 (x * R(K(y,z),u,w)) \ x != v5 | R(K(z,y),u,w) = v5. [para(6920(a,1),284(a,1,2)),flip(b)]. given #6266 (H,wt=18): 6950 K(x,R(y,y \ z,u)) != w | R(K(x,y),z,u) = w. [para(6736(a,2),6934(a,1))]. given #6267 (H,wt=20): 6937 R(K(x,(y / z) / u),y / z,z) = K(x,y / (u * z)). [para(16(a,1),6936(a,2,2,1))]. given #6268 (H,wt=20): 6942 R(K(x,(y / z) \ x),x,z) = K(x,(y / (x * z)) \ 1). [hyper(228,a,5410,a,b,6940,a)]. given #6269 (H,wt=20): 6946 R(K(x,y / z),y,y \ 1) = K(x,(z * (y \ 1)) \ 1). [para(495(a,1),6908(a,1,2,1)),flip(a)]. given #6270 (H,wt=20): 6951 K(x,R(y,T(z,y),u)) != w | R(K(x,y),z * y,u) = w. [para(32(a,2),6950(a,1,2,2))]. given #6271 (H,wt=20): 6954 R(K(x,y \ x),x,z) = K(x,((y * z) / (x * z)) \ 1). [para(15(a,1),6942(a,1,1,2,1))]. given #6272 (H,wt=20): 6956 K(x,((y \ z) * (z \ 1)) \ 1) = R(K(x,y),z,z \ 1). [para(61(a,1),6946(a,1,1,2)),flip(a)]. given #6273 (H,wt=21): 6927 R(K(x,y),K(z,y) * u,w) = K(x,R(y,T(y,z) \ u,w)). [para(4997(a,1),6919(a,1,2,2)),flip(a)]. given #6274 (H,wt=17): 6958 R(K(x,y),K(x,y) * z,u) = R(K(x,y),z,u). [hyper(228,a,6947,a(flip),b,6927,a)]. given #6275 (H,wt=19): 6959 R(K(x,y),y \ K(y,x),z) = R(K(x,y),y \ 1,z). [para(5039(a,1),6958(a,1,2)),flip(a)]. given #6276 (H,wt=21): 6945 K(x,(L(y,z,u) / y) \ x) = K(x,(x / L(y,z,u)) * y). [para(1538(a,1),6941(a,1,2)),flip(a)]. given #6277 (H,wt=21): 6961 K(x,(y \ L(y,z,u)) \ x) = K(x,(x / L(y,z,u)) * y). [para(4596(a,1),6945(a,1,2,1))]. given #6278 (H,wt=21): 6962 K(x,L(y,z,u) \ (y * x)) = K(x,(x / L(y,z,u)) * y). [hyper(228,a,6303,a(flip),b,6961,a(flip)),flip(a)]. given #6279 (H,wt=21): 6963 K(x,(x / L(y,z,u)) * y) = K(x,y * (L(y,z,u) \ x)). [para(1363(a,1),6962(a,1,2)),flip(a)]. given #6280 (H,wt=22): 6916 R(K(x,y),y / x,z) * ((y / T(x,y)) * z) = (y / x) * z. [hyper(228,a,5210,a(flip),b,6911,a(flip))]. given #6281 (H,wt=22): 6933 K(x,R(y,z,u)) * ((y * z) * u) = (y * (K(x,y) * z)) * u. [para(6923(a,1),5473(a,1,1))]. given #6282 (H,wt=22): 6935 ((x \ 1) * y) / ((x \ K(x,z)) * y) = R(K(z,x),x \ 1,y). [para(2695(a,1),6914(a,1,2,1))]. given #6283 (H,wt=24): 6921 (x * R(K(y,z),u,w)) * R(K(z,y),u,w) != v5 * v6 | x / v6 = v5. [para(6912(a,1),276(a,1,2))]. given #6284 (H,wt=24): 6939 R(K(x,R(y,z,u) \ y),y,w) = K(x,(y * w) / (R(y,z,u) * w)). [para(3527(a,1),6936(a,1,1,2))]. given #6285 (H,wt=24): 6953 K(x,R(y,T(y,z) \ u,w)) != v5 | R(K(x,y),K(z,y) * u,w) = v5. [para(4997(a,1),6950(a,1,2,2))]. given #6286 (H,wt=24): 6955 R(T(K(x,(y / z) \ x),u),x,z) = T(K(x,(y / (x * z)) \ 1),u). [para(6942(a,1),42(a,2,1))]. given #6287 (H,wt=25): 6904 (x * y) / ((K(z,u \ 1) * x) * y) != w | K(R(u,x,y) \ 1,z) = w. [para(6901(a,1),5047(a,1,2))]. given #6288 (H,wt=20): 6964 R(K(x \ 1,y),z,u) != w | K(R(x,z,u) \ 1,y) = w. [para(6914(a,1),6904(a,1))]. given #6289 (H,wt=25): 6924 R(K(x,R(y,z,u)),(y * z) * u,w) = K(x,R(R(y,z,u),z * u,w)). [para(141(a,1),6919(a,1,2,2)),flip(a)]. given #6290 (H,wt=26): 6957 R(K(x / y,z \ (x / y)),x / y,y) = K(x / y,((z * y) / x) \ 1). [para(16(a,1),6954(a,2,2,1,2))]. given #6291 (H,wt=23): 6966 K((x / y) \ 1,z \ (y / x)) = K(y / x,((z * x) / y) \ 1). [hyper(5759,a,6957,a)]. given #6292 (H,wt=21): 6967 K((x / y) \ 1,z \ (y / x)) = K(y / x,y / (z * x)). [hyper(228,a,5410,a(flip),b,6966,a)]. given #6293 (H,wt=22): 6968 K(x / y,x / (z * y)) != u | K(x / y,z \ (x / y)) = u. [para(6967(a,1),6063(a,1))]. given #6294 (H,wt=26): 6965 R(K(x * y,x),(x * y) * z,u) = K(x * y,R(R(x,y,z),y * z,u)). [para(6930(a,1),6924(a,1,1))]. given #6295 (H,wt=22): 6969 K(x * y,R(R(x,y,z),y * z,u)) = K(R(x * y,z,u),x). [hyper(228,a,6734,a(flip),b,6965,a(flip))]. given #6296 (H,wt=26): 6970 K(R(R(x,y,z),y * z,u),x * y) = w / (K(R(x * y,z,u),x) * w). [para(6969(a,1),5040(a,1,2,1)),flip(a)]. given #6297 (H,wt=25): 6971 K(R(R(x,y,z),y * z,u),x * y) != w | K(x,R(x * y,z,u)) = w. [para(6970(a,2),5047(a,1))]. given #6298 (H,wt=28): 5436 K(x * (y * z),a(x,y,z) * (x * (y * z))) = K(x * (y * z),(x * y) * z). [para(89(a,1),5433(a,2,2))]. given #6299 (H,wt=28): 5969 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(5967(a,1),194(a,1,2)),flip(a)]. given #6300 (H,wt=26): 6972 (x * T(K(y,z),u)) * T(K(z,y),u) = R(x,T(K(y,z),u),T(K(z,y),u)). [para(5967(a,1),5969(a,1,3)),flip(a)]. given #6301 (H,wt=28): 6054 (x * K(y,z)) * L(T(y,u),w,v5) != v6 | x * (K(y,z) * L(T(y,u),w,v5)) = v6. [para(6050(a,1),756(a,1,2,1))]. given #6302 (H,wt=28): 6077 T(x,y) * ((T(x,y) \ T(x,z)) / T(x,z)) != u | K(T(x,z),1 / T(x,y)) = u. [para(1080(a,1),5431(a,1,2,1))]. given #6303 (H,wt=22): 6974 T(K(T(x,y),1 / x),z) != u | K(T(x,y),1 / T(x,z)) = u. [para(2306(a,1),6077(a,1))]. given #6304 (H,wt=28): 6083 T(K(x \ (x / (y \ 1)),x),T(y,x) \ y) != z | ((y \ T(y,x)) \ 1) \ 1 = z. [para(939(a,2),5683(a,1,1))]. given #6305 (H,wt=28): 6114 T((x / (y * K(z,y))) * y,(z * y) / z) != u | ((z * y) / z) \ (x * y) = u. [para(4843(a,1),647(a,1,1))]. given #6306 (H,wt=28): 6639 (K(x * y,z) * ((x * y) / x)) * x = (x * y) * R(K(x * y,z),y,T(x,y)). [hyper(228,a,3172,a,b,6625,a)]. given #6307 (H,wt=28): 6768 T(T(x * K(y * R(x,z,u),x),w),y) = R(T(y \ (y * x),w),y,R(x,z,u)). [para(4846(a,1),913(a,1,1,1))]. given #6308 (H,wt=24): 6975 T(T(x * K(y * R(x,z,u),x),w),y) = R(T(x,w),y,R(x,z,u)). [para(13(a,1),6768(a,2,1,1))]. given #6309 (H,wt=28): 6772 (x * (y \ T(y * z,u))) / (x * z) != w | K((x * z) / (x * (y \ 1)),u) = w. [para(868(a,1),6062(a,1,1,2))]. given #6310 (H,wt=28): 6785 (x * (y \ ((z \ (y * (x \ u))) * z))) \ u != w | K(z,(x * (y \ z)) \ u) = w. [para(893(a,1),6780(a,1,1,2))]. given #6311 (H,wt=28): 6859 K(T(x,y),T(x,y) \ (z \ 1)) != u | x * (K(x,y) * (1 / T(T(x,y),z))) = u. [para(6857(a,2),5727(a,1))]. given #6312 (H,wt=28): 6898 (x * y) * (z * (L(y \ 1,y,x) / z)) = (x * y) * (z * (((x * y) \ x) / z)). [hyper(228,a,4498,a(flip),b,4516,a(flip))]. given #6313 (H,wt=28): 6899 R((x \ (1 / y)) * x,y,z) * (y * z) = (y * z) * ((x \ ((y * z) \ z)) * x). [para(3551(a,2),4518(a,1,1))]. given #6314 (H,wt=25): 6977 (x * y) * ((z \ ((x * y) \ y)) * z) = (((z \ (1 / x)) * z) * x) * y. [hyper(221,a,6899,a),flip(a)]. given #6315 (H,wt=23): 6978 (x * y) * ((z \ ((x * y) \ y)) * z) = K(x \ (z \ 1),z) * y. [para(5828(a,1),6977(a,2,1))]. given #6316 (H,wt=23): 6979 K(x,y / (x / ((z * y) \ 1))) = y / (K(z \ (x \ 1),x) * y). [para(6978(a,1),6164(a,1,2)),flip(a)]. given #6317 (H,wt=19): 6980 K(x,y / (x / ((z * y) \ 1))) = K(x,z \ (x \ 1)). [hyper(228,a,5040,a(flip),b,6979,a)]. given #6318 (H,wt=17): 6982 K(x,y / (x * (z * y))) = K(x,z \ (x \ 1)). [hyper(228,a,6457,a(flip),b,6980,a(flip)),flip(a)]. given #6319 (H,wt=28): 6900 T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)) = L(z,T(x / T(z,y),z),z). [para(5287(a,1),5294(a,2,2))]. given #6320 (H,wt=26): 6983 T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)) = L(z,x / T(z,y),z). [hyper(228,a,4124,a(flip),b,6900,a)]. given #6321 (H,wt=28): 6949 K(x,R(y / x,x * z,u) \ 1) = K(x,(((y * z) * u) / ((x * z) * u)) \ 1). [para(505(a,1),6905(a,1,2,1)),flip(a)]. given #6322 (H,wt=26): 6984 K(x,R(y / x,x * z,u) \ 1) = K(x,((x * z) * u) / ((y * z) * u)). [hyper(228,a,5410,a(flip),b,6949,a)]. given #6323 (H,wt=24): 6985 R(K(x,x / y),x * z,u) = K(x,((x * z) * u) / ((y * z) * u)). [hyper(228,a,6908,a(flip),b,6984,a(flip)),flip(a)]. given #6324 (H,wt=24): 6986 R(K(x,y \ x),x * z,u) = K(x,((x * z) * u) / ((y * z) * u)). [para(5108(a,1),6985(a,1,1))]. given #6325 (H,wt=22): 6987 K(x,((x * y) * z) / ((u * y) * z)) = K(R(x,y,z),u \ x). [hyper(228,a,6734,a(flip),b,6986,a(flip))]. given #6326 (H,wt=24): 6988 K(R(x,x \ y,z),u \ x) = K(x,(y * z) / ((u * (x \ y)) * z)). [para(14(a,1),6987(a,1,2,1,1)),flip(a)]. given #6327 (H,wt=22): 6990 K(x,(y * z) / ((u * (x \ y)) * z)) = R(K(x,u \ x),y,z). [hyper(228,a,6732,a(flip),b,6988,a(flip))]. given #6328 (H,wt=28): 6952 K(x,R(R(y,z,u),z * u,w)) != v5 | R(K(x,R(y,z,u)),(y * z) * u,w) = v5. [para(141(a,1),6950(a,1,2,2))]. given #6329 (H,wt=28): 6976 (x * y) * L(z * ((y \ 1) / z),y,x) = (x * y) * (z * (((x * y) \ x) / z)). [para(4581(a,2),6898(a,1,2))]. given #6330 (H,wt=25): 6991 (x * y) * (z * (((x * y) \ x) / z)) = x * (y * (z * ((y \ 1) / z))). [hyper(218,a,6976,a),flip(a)]. given #6331 (H,wt=29): 4433 (x * y) \ (x * (K(z \ 1,z) * (y * u))) != w | L(u * K(z \ 1,z),y,x) = w. [para(4378(a,2),456(a,1,2,2))]. given #6332 (H,wt=29): 4496 ((x * T((y \ z) * y,x)) / x) * (T(x,y) \ x) = (y \ (z * (T(x,y) \ x))) * y. [para(4477(a,2),3732(a,1,1,1,2))]. given #6333 (H,wt=23): 6992 (x \ (y * (T(z,x) \ z))) * x = ((x \ y) * x) * (T(z,x) \ z). [para(166(a,1),4496(a,1,1)),flip(a)]. given #6334 (H,wt=21): 6994 ((x \ y) * x) * (T(z,x) \ z) = (x \ (y * K(x,z))) * x. [para(4641(a,2),6992(a,1,1,2,2)),flip(a)]. given #6335 (H,wt=19): 6995 (x \ (y * K(x,z))) * x = ((x \ y) * x) * K(x,z). [para(4641(a,2),6994(a,1,2)),flip(a)]. given #6336 (H,wt=15): 6997 x \ (y * K(x,z)) = (x \ y) * K(x,z). [hyper(18,a,5242,a,b,6995,a)]. given #6337 (H,wt=15): 6999 x * ((x \ y) * K(x,z)) = y * K(x,z). [para(6997(a,1),14(a,1,2))]. given #6338 (H,wt=15): 7001 (x * y) * K(x,z) = x * (y * K(x,z)). [para(13(a,1),6999(a,1,2,1)),flip(a)]. given #6339 (H,wt=8): 7004 R(x,y,K(x,z)) = x. [hyper(476,a,7001,a)]. given #6340 (H,wt=8): 7007 a(x,y,K(x,z)) = 1. [hyper(70,a,7001,a(flip),b,89,a),flip(a)]. given #6341 (H,wt=10): 7005 L(K(x,y),z,x) = K(x,y). [hyper(445,a,7001,a)]. given #6342 (H,wt=10): 7016 K(L(x,y,x),z) = K(x,z). [hyper(6346,a,7005,a)]. given #6343 (H,wt=10): 7018 K(x,L(y,z,x)) = K(x,y). [hyper(228,a,6315,a(flip),b,7005,a(flip)),flip(a)]. given #6344 (H,wt=10): 7022 K(R(x,y,x),z) = K(x,z). [para(4265(a,1),7016(a,1,1)),flip(a)]. given #6345 (H,wt=10): 7032 R(K(x,y),z,x) = K(x,y). [hyper(228,a,6732,a(flip),b,7022,a(flip)),flip(a)]. given #6346 (H,wt=10): 7044 K(x,R(y,z,x)) = K(x,y). [hyper(228,a,6923,a(flip),b,7032,a(flip)),flip(a)]. given #6347 (H,wt=11): 7013 R(x,y,T(x,z)) = R(x,y,x). [para(7004(a,1),6803(a,1,1)),flip(a)]. given #6348 (H,wt=12): 7009 R(T(x,y),z,K(x,u)) = T(x,y). [para(7004(a,1),42(a,2,1))]. given #6349 (H,wt=11): 7057 T(x,y * K(x,z)) = T(x,y). [hyper(228,a,5505,a(flip),b,7009,a(flip))]. given #6350 (H,wt=11): 7065 T(x,y * K(z,x)) = T(x,y). [para(5062(a,1),7057(a,1,2)),flip(a)]. given #6351 (H,wt=12): 7014 R(K(x,y),z,K(y,u)) = K(x,y). [para(7004(a,1),6919(a,1,2)),flip(a)]. given #6352 (H,wt=12): 7023 T(x,L(y,z,y)) = x / K(y,x). [para(7016(a,1),4658(a,2,2))]. given #6353 (H,wt=10): 7079 T(x,L(y,z,y)) = T(x,y). [hyper(228,a,4658,a,b,7023,a)]. given #6354 (H,wt=10): 7087 T(x,R(y,z,y)) = T(x,y). [para(4265(a,1),7079(a,1,2)),flip(a)]. given #6355 (H,wt=12): 7028 T(x,L(y,z,x)) = K(x,y) * x. [para(7018(a,1),4712(a,2,1))]. given #6356 (H,wt=10): 7094 T(x,L(y,z,x)) = T(x,y). [hyper(228,a,4712,a,b,7028,a)]. given #6357 (H,wt=12): 7037 x * K(R(x,y,x),z) = T(x,z). [para(7022(a,2),4705(a,2,2)),flip(a)]. given #6358 (H,wt=12): 7038 K(x,R(y,z,y)) = 1 / K(y,x). [para(7022(a,1),4894(a,1,2)),flip(a)]. given #6359 (H,wt=10): 7098 K(x,R(y,z,y)) = K(x,y). [hyper(228,a,4894,a(flip),b,7038,a)]. given #6360 (H,wt=10): 7100 R(K(x,y),z,y) = K(x,y). [hyper(6950,a,7098,a)]. given #6361 (H,wt=12): 7047 T(x,R(y,z,x)) = x * K(x,y). [para(7044(a,1),4705(a,2,2))]. given #6362 (H,wt=10): 7106 T(x,R(y,z,x)) = T(x,y). [hyper(228,a,4705,a,b,7047,a)]. given #6363 (H,wt=12): 7080 T(x,L(y,z,y)) = x * K(x,y). [hyper(228,a,5063,a(flip),b,7023,a)]. given #6364 (H,wt=10): 7113 K(x,L(y,z,y)) = K(x,y). [hyper(4771,a,7080,a)]. given #6365 (H,wt=10): 7114 L(K(x,y),z,y) = K(x,y). [hyper(6323,a,7113,a)]. given #6366 (H,wt=10): 7117 K(L(x,y,z),z) = K(x,z). [hyper(6346,a,7114,a)]. given #6367 (H,wt=12): 7089 T(x / y,R(y,z,y)) = y \ x. [hyper(228,a,115,a(flip),b,7087,a)]. given #6368 (H,wt=12): 7122 T(x * K(y,x),L(y,z,x)) = x. [para(7117(a,1),4674(a,1,1,2))]. given #6369 (H,wt=13): 7020 K(x,y) != z | K(L(x,u,x),y) = z. [para(7005(a,1),6346(a,1))]. given #6370 (H,wt=13): 7021 K(T(x / (x / y),x),z) = K(y,z). [para(4009(a,2),7016(a,1,1))]. given #6371 (H,wt=13): 7033 K((x \ y) \ T(y,x),z) = K(x,z). [para(4044(a,1),7022(a,1,1))]. given #6372 (H,wt=13): 7034 K(T(x,x * y),z) = K(T(x,y),z). [para(4082(a,1),7022(a,1,1)),flip(a)]. given #6373 (H,wt=13): 7035 K(T(x,x \ y),z) = K(T(x,y),z). [para(4101(a,1),7022(a,1,1))]. given #6374 (H,wt=13): 7052 R(x,y,(x \ z) \ z) = R(x,y,x). [para(114(a,1),7013(a,1,3))]. given #6375 (H,wt=13): 7061 K(x,y * K(x,z)) = x \ T(x,y). [hyper(71,a,7057,a(flip),b,4705,a(flip)),flip(a)]. given #6376 (H,wt=11): 7128 K(x,y * K(x,z)) = K(x,y). [hyper(228,a,4649,a,b,7061,a)]. given #6377 (H,wt=11): 7130 K(x,K(y,x * K(y,z))) = 1. [para(7128(a,2),2503(a,1,2))]. given #6378 (H,wt=11): 7131 K(x,y * K(z,x)) = K(x,y). [para(5062(a,1),7128(a,1,2)),flip(a)]. given #6379 (H,wt=13): 7067 T(x,y \ K(x,z)) = T(x,y \ 1). [para(5131(a,1),7057(a,1,2))]. given #6380 (H,wt=13): 7068 T(x,y / T(x,z)) = T(x,y / x). [para(5180(a,1),7057(a,1,2)),flip(a)]. given #6381 (H,wt=13): 7069 T(x,y * T(x,z)) = T(x,y * x). [para(5199(a,1),7057(a,1,2))]. given #6382 (H,wt=13): 7072 T(x,y \ T(z,x)) = T(x,y \ z). [para(6160(a,1),7057(a,1,2)),flip(a)]. given #6383 (H,wt=13): 7073 T(x,y \ T(x,z)) = T(x,y \ x). [para(6265(a,1),7057(a,1,2))]. given #6384 (H,wt=13): 7081 T(x,L(y,z,y)) != u | T(x,y) = u. [para(7023(a,2),4661(a,1))]. given #6385 (H,wt=13): 7086 T(x,T(y / z,y)) = T(x,z \ y). [para(4011(a,1),7079(a,1,2))]. given #6386 (H,wt=13): 7092 T(x,T(y,y \ z)) = T(x,T(y,z)). [para(4101(a,1),7087(a,1,2))]. given #6387 (H,wt=13): 7099 K(x,R(y,z,y)) != u | K(x,y) = u. [para(7038(a,2),4897(a,1))]. given #6388 (H,wt=13): 7101 K(x,T(y,y * z)) = K(x,T(y,z)). [para(4082(a,1),7098(a,1,2)),flip(a)]. given #6389 (H,wt=13): 7102 K(x,T(y,y \ z)) = K(x,T(y,z)). [para(4101(a,1),7098(a,1,2))]. given #6390 (H,wt=11): 7152 K(x,T(y,z)) = T(K(x,y),z). [hyper(228,a,6214,a(flip),b,7102,a(flip))]. given #6391 (H,wt=11): 7169 K(x,T(y,K(x,z))) = K(x,y). [hyper(228,a,5986,a(flip),b,7152,a)]. given #6392 (H,wt=13): 7115 K(x,T(y / z,y)) = K(x,z \ y). [para(4011(a,1),7113(a,1,2))]. given #6393 (H,wt=13): 7126 K((x \ y) \ y,z) = K(T(x,y),z). [para(138(a,1),7021(a,1,1,1)),flip(a)]. given #6394 (H,wt=11): 7198 K(T(x,y),z) = T(K(x,z),y). [hyper(228,a,5502,a(flip),b,7126,a(flip))]. given #6395 (H,wt=11): 7202 K(T(x,y),z) = K(x,T(z,y)). [hyper(228,a,7152,a,b,7198,a)]. given #6396 (H,wt=10): 7243 R(x,y,K(z,T(y,u))) = x. [para(7202(a,1),6594(a,1,3))]. given #6397 (H,wt=11): 7204 K(T(x,K(y,z)),y) = K(x,y). [hyper(228,a,1754,a(flip),b,7198,a)]. given #6398 (H,wt=12): 7221 K(x,T(y,R(x,z,u))) = K(x,y). [para(602(a,1),7202(a,1,1)),flip(a)]. given #6399 (H,wt=13): 7127 K(T(x,y * x),z) = K(T(x,y),z). [para(4066(a,2),7034(a,1,1))]. given #6400 (H,wt=13): 7132 K(x,y \ K(z,x)) = K(x,y \ 1). [para(4895(a,1),7128(a,1,2)),flip(a)]. given #6401 (H,wt=13): 7135 K(x,y \ T(x,z)) = K(x,y \ x). [para(6265(a,1),7128(a,1,2))]. given #6402 (H,wt=13): 7138 K(x * K(y,z),z) = 1 / K(z,x). [para(7131(a,1),4894(a,1,2)),flip(a)]. given #6403 (H,wt=11): 7250 K(x * K(y,z),z) = K(x,z). [hyper(228,a,4894,a(flip),b,7138,a)]. given #6404 (H,wt=11): 7255 K(x * K(y,z),y) = K(x,y). [para(5062(a,1),7250(a,1,1)),flip(a)]. given #6405 (H,wt=13): 7140 K(x,y \ T(y * z,x)) = K(x,z). [para(5492(a,2),7131(a,1,2))]. given #6406 (H,wt=13): 7143 T(x,(x \ y) * T(x,z)) = T(x,y). [hyper(228,a,4067,a(flip),b,7069,a)]. given #6407 (H,wt=13): 7145 T(x,T(x,y) / z) = T(x,z \ x). [hyper(6283,a,7073,a)]. given #6408 (H,wt=13): 7146 T(x,(y \ z) \ z) = T(x,T(y,z)). [para(61(a,1),7086(a,1,2,1)),flip(a)]. given #6409 (H,wt=13): 7148 R(K(x,y),z,y) != u | K(x,y) = u. [para(6919(a,1),7099(a,1))]. given #6410 (H,wt=13): 7151 K(x,T(y,z * y)) = K(x,T(y,z)). [para(4066(a,2),7101(a,1,2))]. given #6411 (H,wt=13): 7153 K(x,(y \ z) \ z) = K(x,T(y,z)). [para(114(a,1),7102(a,1,2))]. given #6412 (H,wt=13): 7155 T(K(x * y,x),y) = K(x * y,x). [hyper(6225,a,7152,a),flip(a)]. given #6413 (H,wt=13): 7160 (K(x,y) * z) \ z = K(y,T(x,z)). [hyper(228,a,6010,a,b,7152,a),flip(a)]. given #6414 (H,wt=13): 7161 (K(x,y) \ z) \ z = K(x,T(y,z)). [hyper(228,a,6009,a,b,7152,a),flip(a)]. given #6415 (H,wt=13): 7166 K((x \ y) \ y,z) = K(x,T(z,y)). [hyper(228,a,5502,a,b,7152,a),flip(a)]. given #6416 (H,wt=13): 7167 x \ (K(y,z) \ x) = K(z,T(y,x)). [hyper(228,a,5044,a,b,7152,a),flip(a)]. given #6417 (H,wt=13): 7170 K(x / y,T(z,x)) = K(y \ x,z). [hyper(228,a,5495,a(flip),b,7152,a)]. given #6418 (H,wt=13): 7171 K(x,T(y,T(T(x,z),u))) = K(x,y). [hyper(228,a,3168,a(flip),b,7152,a)]. given #6419 (H,wt=13): 7174 x * K(y,T(z,x)) = K(y,z) * x. [para(7152(a,2),113(a,1,2))]. given #6420 (H,wt=11): 7288 T(x,K(x,y) * z) = T(x,z). [para(7174(a,1),7057(a,1,2))]. given #6421 (H,wt=11): 7289 K(x,K(x,y) * z) = K(x,z). [para(7174(a,1),7128(a,1,2))]. given #6422 (H,wt=11): 7292 K(K(x,y) * z,x) = K(z,x). [para(7174(a,1),7255(a,1,1))]. given #6423 (H,wt=11): 7295 T(x,K(y,x) * z) = T(x,z). [para(5042(a,1),7288(a,1,2)),flip(a)]. given #6424 (H,wt=11): 7302 K(x,K(y,x) \ z) = K(x,z). [para(5035(a,2),7289(a,1,2))]. given #6425 (H,wt=11): 7303 K(x,K(y,x) * z) = K(x,z). [para(5042(a,1),7289(a,1,2)),flip(a)]. given #6426 (H,wt=11): 7307 K(K(x,y) \ z,x) = K(z,x). [para(14(a,1),7292(a,1,1)),flip(a)]. given #6427 (H,wt=11): 7308 K(K(x,y) * z,y) = K(z,y). [para(5042(a,1),7292(a,1,1)),flip(a)]. given #6428 (H,wt=13): 7180 T(x,K(y,T(z,x))) = T(x,K(y,z)). [para(7152(a,2),3921(a,1,2))]. given #6429 (H,wt=13): 7181 x * T(K(x,y),z) = T(x,T(y,z)). [para(7152(a,1),4705(a,2,2)),flip(a)]. given #6430 (H,wt=13): 7186 x / K(y,T(z,x)) = K(y,z) \ x. [para(7152(a,2),6008(a,1,2))]. given #6431 (H,wt=13): 7187 (K(x,y) * z) * K(y,T(x,z)) = z. [para(7152(a,2),6011(a,1,2))]. given #6432 (H,wt=13): 7203 K(T(x,y),y / z) = K(x,z \ y). [hyper(228,a,6208,a(flip),b,7198,a)]. given #6433 (H,wt=13): 7205 x * K(T(y,x),z) = K(y,z) * x. [para(7198(a,2),113(a,1,2))]. given #6434 (H,wt=13): 7206 (K(x,y) * z) * K(T(y,z),x) = z. [para(7198(a,2),6011(a,1,2))]. given #6435 (H,wt=13): 7209 K(x,T(y,z)) \ 1 = K(y,T(x,z)). [hyper(5057,a,7202,a)]. given #6436 (H,wt=13): 7216 K(x / y,T(z,y)) = K(y \ x,z). [para(115(a,1),7202(a,1,1)),flip(a)]. given #6437 (H,wt=13): 7217 K(T(x,y),z / y) = K(x,y \ z). [para(115(a,1),7202(a,2,2))]. given #6438 (H,wt=13): 7218 K((x * y) / x,T(z,x)) = K(y,z). [para(165(a,1),7202(a,1,1)),flip(a)]. given #6439 (H,wt=10): 7339 a(x,T(y,z),K(u,y)) = 1. [para(7218(a,1),6604(a,1,3))]. given #6440 (H,wt=12): 7341 L(x,T(T(y,z),u),K(w,y)) = x. [para(7218(a,1),6948(a,1,3))]. given #6441 (H,wt=12): 7343 L(K(x,y),T(y,z),u) = K(x,y). [hyper(33,a,7339,a)]. given #6442 (H,wt=13): 7224 x / K(y,T(x,z)) = T(x,T(y,z)). [para(7202(a,1),4658(a,2,2)),flip(a)]. given #6443 (H,wt=13): 7225 x * K(T(x,y),z) = T(x,T(z,y)). [para(7202(a,2),4705(a,2,2)),flip(a)]. given #6444 (H,wt=13): 7227 K(x,T(y,K(z,z \ x))) = K(x,y). [para(4916(a,1),7202(a,1,1)),flip(a)]. given #6445 (H,wt=13): 7252 K(x * T(y,z),z) = K(x * y,z). [para(1385(a,1),7250(a,1,1))]. given #6446 (H,wt=13): 7253 K(x \ T(y,z),z) = K(x \ y,z). [para(1384(a,1),7250(a,1,1))]. given #6447 (H,wt=13): 7256 K(x \ K(y,z),y) = K(x \ 1,y). [para(4895(a,1),7250(a,1,1)),flip(a)]. given #6448 (H,wt=13): 7257 K(x * T(y,z),y) = K(x * y,y). [para(5207(a,1),7250(a,1,1)),flip(a)]. given #6449 (H,wt=13): 7260 K(x * K(y,T(z,u)),z) = K(x,z). [para(7202(a,1),7250(a,1,1,2))]. given #6450 (H,wt=13): 7264 T(x,x * (y / T(x,z))) = T(x,y). [para(65(a,1),7143(a,1,2)),flip(a)]. given #6451 (H,wt=13): 7270 x * K(y,T(z,x)) = K(z,y) \ x. [para(7167(a,1),14(a,1,2))]. given #6452 (H,wt=13): 7297 T(x,T(y,x) \ z) = T(x,y \ z). [para(5004(a,1),7288(a,1,2))]. given #6453 (H,wt=13): 7301 K(x,T(x,y) * z) = K(x,x * z). [para(4720(a,1),7289(a,1,2))]. given #6454 (H,wt=13): 7309 K(T(x,y) \ z,x) = K(x \ z,x). [para(4977(a,1),7292(a,1,1)),flip(a)]. given #6455 (H,wt=13): 7321 x * K(T(y,x),z) = K(z,y) \ x. [hyper(5067,a,7186,a)]. given #6456 (H,wt=13): 7340 R(x,K(y,z),L(T(z,u),w,v5)) = x. [para(7218(a,1),6655(a,1,2))]. given #6457 (H,wt=13): 7358 K(x * T(y,z),y) = K(y * x,y). [hyper(228,a,5647,a(flip),b,7257,a)]. given #6458 (H,wt=13): 7362 K(x / T(y,z),y) = K(y \ x,y). [hyper(228,a,5877,a,b,7309,a(flip)),flip(a)]. given #6459 (H,wt=13): 7366 K(x * (y / T(x,z)),x) = K(y,x). [para(16(a,1),7358(a,1,1)),flip(a)]. given #6460 (H,wt=14): 7017 L(K(x,y),z,x) = u \ (u * K(x,y)). [hyper(228,a,13,a,b,7005,a)]. given #6461 (H,wt=13): 7369 L(K(x,y),z,x) != u | K(x,y) = u. [para(7017(a,2),284(a,1)),flip(b)]. given #6462 (H,wt=13): 7373 K(L(x,y,x),z) != u | K(x,z) = u. [para(6341(a,1),7369(a,1))]. given #6463 (H,wt=13): 7376 K(x,y) != z | K(R(x,u,x),y) = z. [para(4265(a,1),7373(a,1,1))]. given #6464 (H,wt=14): 7029 K(x,K(y,L(z,u,x))) = K(x,K(y,z)). [para(6315(a,1),7018(a,1,2))]. given #6465 (H,wt=14): 7048 K(x,K(y,R(z,u,x))) = K(x,K(y,z)). [para(6923(a,1),7044(a,1,2))]. given #6466 (H,wt=14): 7071 T(x,y * L(K(x,z),u,w)) = T(x,y). [para(6100(a,1),7057(a,1,2,2))]. given #6467 (H,wt=14): 7129 K(x,y * K(x,z)) != u | K(x,y) = u. [para(7061(a,2),4773(a,1))]. given #6468 (H,wt=14): 7134 K(x,y * L(K(x,z),u,w)) = K(x,y). [para(6100(a,1),7128(a,1,2,2))]. given #6469 (H,wt=14): 7190 T(K(x,y),y \ 1) != z | K(x,y) = z. [para(7152(a,1),6220(a,1))]. given #6470 (H,wt=14): 7223 K(x,T(y,R(T(x,z),u,w))) = K(x,y). [para(790(a,1),7202(a,1,1)),flip(a)]. given #6471 (H,wt=14): 7251 K(x * K(y,z),z) != u | K(x,z) = u. [para(7138(a,2),4897(a,1))]. given #6472 (H,wt=14): 7259 K(x * L(K(y,z),u,w),z) = K(x,z). [para(6128(a,1),7250(a,1,1,2))]. given #6473 (H,wt=14): 7261 K(x * L(K(y,z),u,w),y) = K(x,y). [para(6100(a,1),7255(a,1,1,2))]. given #6474 (H,wt=14): 7293 T(x,K(x,y) * L(K(z,x),u,w)) = x. [hyper(228,a,2531,a(flip),b,7288,a)]. given #6475 (H,wt=14): 7306 K(x,R(K(x,y),z,u) * w) = K(x,w). [para(6907(a,1),7289(a,1,2,1))]. given #6476 (H,wt=14): 7312 K(R(K(x,y),z,u) * w,x) = K(w,x). [para(6907(a,1),7292(a,1,1,1))]. given #6477 (H,wt=14): 7315 K(x,R(K(y,x),z,u) * w) = K(x,w). [para(6118(a,1),7303(a,1,2,1))]. given #6478 (H,wt=14): 7316 K(K(x,y) * z,x) != u | K(z,x) = u. [para(7307(a,1),5784(a,1))]. given #6479 (H,wt=14): 7329 K(x,T(y,z)) != u | K(T(x,z),y) = u. [para(7209(a,1),4887(a,1))]. given #6480 (H,wt=14): 7378 T(x,y * K(L(x,z,u),w)) = T(x,y). [para(6341(a,1),7071(a,1,2,2))]. given #6481 (H,wt=14): 7384 K(K(x,y) \ z,x) != u | K(z,x) = u. [para(7321(a,1),7251(a,1,1))]. given #6482 (H,wt=14): 7385 K(x * K(y,L(z,u,w)),z) = K(x,z). [para(6315(a,1),7259(a,1,1,2))]. given #6483 (H,wt=14): 7386 K(x * K(L(y,z,u),w),y) = K(x,y). [para(6341(a,1),7261(a,1,1,2))]. given #6484 (H,wt=14): 7387 K(x,K(R(x,y,z),u) * w) = K(x,w). [para(6734(a,1),7306(a,1,2,1))]. given #6485 (H,wt=14): 7389 K(K(R(x,y,z),u) * w,x) = K(w,x). [para(6734(a,1),7312(a,1,1,1))]. given #6486 (H,wt=14): 7390 K(x,K(y,R(x,z,u)) * w) = K(x,w). [para(6923(a,1),7315(a,1,2,1))]. given #6487 (H,wt=14): 7391 K(x * y,x) != z | K(y * x,x) = z. [para(4671(a,1),7316(a,1,1))]. given #6488 (H,wt=14): 7392 K(x / y,y) != z | K(y \ x,y) = z. [para(4738(a,1),7316(a,1,1))]. given #6489 (H,wt=14): 7393 T(K(x,y),z) != u | K(T(x,z),y) = u. [para(7152(a,1),7329(a,1))]. given #6490 (H,wt=14): 7398 K(K(L(x,y,z),u) * w,x) = K(w,x). [para(7206(a,1),7385(a,1,1)),flip(a)]. given #6491 (H,wt=14): 7406 K(x,y) != z | K(T(x,x \ 1),y) = z. [para(1197(a,1),7393(a,1))]. given #6492 (H,wt=15): 7002 K(x,(x \ y) \ z) = K(x,y \ (x * z)). [hyper(6566,a,7001,a),flip(a)]. given #6493 (H,wt=15): 7015 K(x,(x * y) \ z) = K(x,y \ (x \ z)). [hyper(6781,a,7005,a)]. given #6494 (H,wt=15): 7025 K(x,y) * L(x,z,x) = L(T(x,y),z,x). [para(7016(a,1),4781(a,1,1))]. given #6495 (H,wt=15): 7036 R(x,y,x) * K(x,z) = T(R(x,y,x),z). [para(7022(a,1),4705(a,2,2)),flip(a)]. given #6496 (H,wt=15): 7039 x * K(R(x,y,x),z) != u | T(x,z) = u. [para(7022(a,2),4708(a,1,2))]. given #6497 (H,wt=15): 7042 (K(x,y) * z) * x = K(x,y) * (z * x). [para(7022(a,1),6735(a,1,1)),flip(a)]. given #6498 (H,wt=8): 7417 L(x,y,K(x,z)) = x. [hyper(445,a,7042,a)]. given #6499 (H,wt=11): 7428 L(x,y,R(K(x,z),u,w)) = x. [para(6907(a,1),7417(a,1,3))]. given #6500 (H,wt=11): 7430 L(x,y,K(R(x,z,u),w)) = x. [para(6734(a,1),7428(a,1,3))]. given #6501 (H,wt=12): 7421 L(T(x,y),z,K(x,u)) = T(x,y). [para(7417(a,1),40(a,2,1))]. given #6502 (H,wt=12): 7426 L(K(x,y),z,K(y,u)) = K(x,y). [para(7417(a,1),6313(a,1,2)),flip(a)]. given #6503 (H,wt=12): 7427 L(K(x,y),z,K(x,u)) = K(x,y). [para(7417(a,1),6339(a,1,1)),flip(a)]. given #6504 (H,wt=12): 7437 K(x,L(y,z,K(x,u))) = K(x,y). [hyper(228,a,6315,a(flip),b,7427,a(flip)),flip(a)]. given #6505 (H,wt=15): 7043 K(x,(y * x) / z) = K(x,y / (z / x)). [hyper(228,a,6938,a(flip),b,7032,a(flip)),flip(a)]. given #6506 (H,wt=15): 7058 R(T(x,y),z,T(x,u)) = R(T(x,y),z,x). [para(7009(a,1),6803(a,1,1)),flip(a)]. given #6507 (H,wt=14): 7444 K(x,R(T(y,z),u,y)) = K(x,T(y,z)). [para(7058(a,1),7098(a,1,2))]. given #6508 (H,wt=14): 7445 K(x,T(R(y,z,y),u)) = K(x,T(y,u)). [para(42(a,1),7444(a,1,2))]. given #6509 (H,wt=15): 7070 T(x,y / (z / x)) = T(x,y / (x \ z)). [para(6015(a,1),7057(a,1,2)),flip(a)]. given #6510 (H,wt=15): 7075 T(x,y * (z * x)) = T(x,y * (x * z)). [para(6344(a,1),7057(a,1,2)),flip(a)]. given #6511 (H,wt=15): 7082 T(x / L(y,z,y),y) = L(y,z,y) \ x. [hyper(647,a,7079,a),flip(a)]. given #6512 (H,wt=15): 7088 T(x / R(y,z,y),y) = R(y,z,y) \ x. [hyper(647,a,7087,a),flip(a)]. given #6513 (H,wt=15): 7090 R(x,y,x) * T(z,x) = z * R(x,y,x). [para(7087(a,1),113(a,1,2))]. given #6514 (H,wt=15): 7093 T(x,(y * z) / y) = T(x,y / (y / z)). [para(4273(a,1),7087(a,1,2))]. given #6515 (H,wt=15): 7095 T(x,(x * y) \ z) = T(x,y \ (x \ z)). [para(222(a,1),7094(a,1,2))]. given #6516 (H,wt=15): 7096 T(x,(x \ y) \ z) = T(x,y \ (x * z)). [para(458(a,1),7094(a,1,2)),flip(a)]. given #6517 (H,wt=15): 7104 (K(x,y) * z) * y = K(x,y) * (z * y). [para(7100(a,1),109(a,1,1)),flip(a)]. given #6518 (H,wt=8): 7452 L(x,y,K(z,x)) = x. [hyper(445,a,7104,a)]. given #6519 (H,wt=12): 7458 L(K(x,y),z,K(u,y)) = K(x,y). [para(7452(a,1),6313(a,1,2)),flip(a)]. given #6520 (H,wt=12): 7459 K(L(x,y,K(z,u)),u) = K(x,u). [hyper(6346,a,7458,a)]. given #6521 (H,wt=14): 7457 L(L(x,y,z),u,K(w,x)) = L(x,y,z). [para(7452(a,1),45(a,1,1)),flip(a)]. given #6522 (H,wt=15): 7107 T(x,(y * x) / z) = T(x,y / (z / x)). [para(497(a,1),7106(a,1,2))]. given #6523 (H,wt=15): 7116 (x * y) * K(z,x) = x * (y * K(z,x)). [para(7113(a,1),6316(a,1,2))]. given #6524 (H,wt=8): 7463 R(x,y,K(z,x)) = x. [hyper(476,a,7116,a)]. given #6525 (H,wt=10): 7467 R(x,y,T(K(z,x),u)) = x. [para(2034(a,1),7463(a,1,3))]. given #6526 (H,wt=10): 7470 R(x,y,K(z,T(x,u))) = x. [para(7202(a,1),7463(a,1,3))]. given #6527 (H,wt=15): 7118 K((x * y) \ z,x) = K(y \ (x \ z),x). [hyper(228,a,6329,a(flip),b,7114,a(flip)),flip(a)]. given #6528 (H,wt=15): 7119 K((x \ y) \ z,x) = K(y \ (x * z),x). [hyper(228,a,6328,a(flip),b,7114,a(flip))]. given #6529 (H,wt=15): 7133 K(x,y / (z / x)) = K(x,y / (x \ z)). [para(6015(a,1),7128(a,1,2)),flip(a)]. given #6530 (H,wt=15): 7136 K(x,T(K(y,x) * z,u)) = K(x,T(z,u)). [para(6583(a,1),7128(a,1,2)),flip(a)]. given #6531 (H,wt=15): 7142 K(x,T(y,z / T(y,u))) = T(K(x,y),z). [para(7068(a,2),6216(a,1,2))]. given #6532 (H,wt=15): 7144 T(x,y) / T(y,y \ x) = y \ T(x,y). [para(7072(a,1),199(a,1,2))]. given #6533 (H,wt=15): 7150 K(x,T(y,z \ 1)) = K(x,T(y,z \ y)). [para(1713(a,1),7101(a,1,2)),flip(a)]. given #6534 (H,wt=15): 7162 K(x,y) * K(z,K(y,x)) = K(x,T(y,z)). [hyper(228,a,5974,a,b,7152,a),flip(a)]. given #6535 (H,wt=15): 7163 K(x,K(y,z)) * K(z,y) = K(z,T(y,x)). [hyper(228,a,5971,a,b,7152,a),flip(a)]. given #6536 (H,wt=15): 7164 K(T(x,y) \ 1,z) = K(x \ 1,T(z,y)). [hyper(228,a,5852,a,b,7152,a),flip(a)]. given #6537 (H,wt=15): 7165 K(x,T(y,z) \ 1) = K(x,T(y \ 1,z)). [hyper(228,a,5807,a,b,7152,a),flip(a)]. given #6538 (H,wt=15): 7168 K(x \ K(x,y),T(z,y)) = K(x \ 1,z). [hyper(228,a,6422,a(flip),b,7152,a)]. given #6539 (H,wt=15): 7172 x * K(y,T(z,u)) = x * T(K(y,z),u). [hyper(21,a,7152,a)]. given #6540 (H,wt=15): 7173 K(x,T(T(y,z),u)) = T(K(x,T(y,u)),z). [para(38(a,1),7152(a,1,2))]. given #6541 (H,wt=15): 7185 K(x,y) * K(y,T(x,z)) = K(z,K(x,y)). [para(7152(a,2),5970(a,1,2))]. given #6542 (H,wt=13): 7485 K(x * y,K(x,z)) = K(y,K(x,z)). [hyper(228,a,6226,a(flip),b,7185,a(flip)),flip(a)]. given #6543 (H,wt=13): 7487 K(x * y,K(y,z)) = K(x,K(y,z)). [hyper(228,a,6282,a,b,7485,a(flip)),flip(a)]. given #6544 (H,wt=13): 7488 K(x \ y,K(x,z)) = K(y,K(x,z)). [para(14(a,1),7485(a,1,1)),flip(a)]. given #6545 (H,wt=15): 7195 K(x,K(y,T(z,u))) = T(K(x,K(y,z)),u). [para(7152(a,2),7152(a,1,2))]. given #6546 (H,wt=15): 7207 K(x,K(T(y,K(x,z)),u)) = K(x,K(y,u)). [para(7198(a,2),7169(a,1,2))]. given #6547 (H,wt=15): 7212 T(x,T(y,z)) \ 1 = x \ K(y,T(x,z)). [hyper(71,a,7202,a(flip),b,4647,a(flip)),flip(a)]. given #6548 (H,wt=15): 7213 K(T(x,y),T(z,u)) = K(x,T(T(z,y),u)). [para(38(a,1),7202(a,2,2))]. given #6549 (H,wt=15): 7219 K((x \ y) \ y,z) = K(x,T(z,x \ y)). [para(114(a,1),7202(a,1,1))]. given #6550 (H,wt=13): 7492 K(x,T(y,x \ z)) = K(x,T(y,z)). [hyper(228,a,7166,a(flip),b,7219,a(flip))]. given #6551 (H,wt=13): 7493 K(x,T(y,x \ z)) = T(K(x,y),z). [hyper(228,a,5502,a(flip),b,7219,a(flip))]. given #6552 (H,wt=13): 7494 K(x,T(y,x * z)) = K(x,T(y,z)). [para(13(a,1),7492(a,1,2,2)),flip(a)]. given #6553 (H,wt=15): 7220 K(T(x,y),L(y,z,u)) = K(x,L(y,z,u)). [para(130(a,1),7202(a,2,2))]. given #6554 (H,wt=15): 7226 K(x,T(y,z)) * T(x,z) = T(T(x,z),y). [para(7202(a,1),4712(a,2,1)),flip(a)]. given #6555 (H,wt=15): 7230 K(x,T(y,z)) \ u = K(y,T(x,z)) * u. [para(7202(a,1),5035(a,1,1))]. given #6556 (H,wt=15): 7231 x / K(y,T(z,u)) = x * K(z,T(y,u)). [para(7202(a,1),5063(a,1,2))]. given #6557 (H,wt=15): 7240 K(x,T(y,z)) * T(x,z) = T(T(x,y),z). [para(7202(a,1),4782(a,1,1))]. given #6558 (H,wt=15): 7263 K(x * (y * K(z,u)),z) = K(x * y,z). [para(6316(a,1),7255(a,1,1))]. given #6559 (H,wt=15): 7269 K(x * y,x) * y = y * K(x * y,x). [para(7155(a,1),113(a,1,2)),flip(a)]. given #6560 (H,wt=9): 7510 T(x,K(y,y * x)) = x. [hyper(5984,a,7269,a)]. given #6561 (H,wt=11): 7511 T(x / y,K(y,x)) = x / y. [para(5435(a,1),7510(a,1,2))]. given #6562 (H,wt=15): 7272 L(x,y / z,K(z \ y,u)) != w | w = x. [para(7170(a,1),3865(a,1,3))]. given #6563 (H,wt=15): 7277 T(x,T(y,T(T(x,z),u))) = K(x,y) * x. [para(7171(a,1),4712(a,2,1))]. given #6564 (H,wt=13): 7512 T(x,T(y,T(T(x,z),u))) = T(x,y). [hyper(228,a,4712,a,b,7277,a)]. given #6565 (H,wt=15): 7278 (x * y) / T(T(x,y),z) = K(z,x) * y. [hyper(5738,a,7174,a)]. given #6566 (H,wt=15): 7279 x \ (y * K(z,T(x,y))) = T(x,z) \ y. [hyper(71,a,7174,a,b,4680,a)]. given #6567 (H,wt=15): 7284 K(x,y / z) * z = z * K(x,z \ y). [para(115(a,1),7174(a,1,2,2)),flip(a)]. given #6568 (H,wt=15): 7294 (K(x,y) * z) \ (T(x,y) * z) = T(x,z). [hyper(228,a,4975,a,b,7288,a(flip)),flip(a)]. given #6569 (H,wt=15): 7299 T(x,(y / x) \ z) = T(x,(x \ y) \ z). [para(5915(a,1),7288(a,1,2)),flip(a)]. given #6570 (H,wt=15): 7300 K(x,T(y,K(x,z) * u)) = K(T(x,u),y). [para(7288(a,1),7202(a,1,1)),flip(a)]. given #6571 (H,wt=15): 7305 K(x,(y / x) \ z) = K(x,(x \ y) \ z). [para(5915(a,1),7289(a,1,2)),flip(a)]. given #6572 (H,wt=15): 7317 T(x,K(y,z / x)) = T(x,K(y,x \ z)). [para(115(a,1),7180(a,1,2,2)),flip(a)]. given #6573 (H,wt=15): 7318 T(x,T(y,z) \ 1) = T(x,T(y \ 1,z)). [hyper(5814,a,7181,a)]. given #6574 (H,wt=15): 7325 K(x / y,z) * y = y * K(y \ x,z). [para(115(a,1),7205(a,1,2,1)),flip(a)]. given #6575 (H,wt=15): 7326 K((x * y) / x,z) * x = x * K(y,z). [para(165(a,1),7205(a,1,2,1)),flip(a)]. given #6576 (H,wt=14): 7524 K(x,y * K(z,R(x,u,w))) = K(x,y). [para(7326(a,1),7390(a,1,2))]. given #6577 (H,wt=15): 7330 K(x \ (y \ x),z) = K(y \ 1,T(z,x)). [hyper(5758,a,7216,a),flip(a)]. given #6578 (H,wt=15): 7331 K(x / y,T(y,z)) = K(y \ x,T(y,z)). [para(129(a,1),7216(a,1,2))]. given #6579 (H,wt=15): 7342 K(K(x,y) * z,T(y,u)) = K(z,T(y,u)). [para(7218(a,1),7308(a,1,1,1))]. given #6580 (H,wt=15): 7350 T(T(x,y),z) * K(y,x) = T(x,T(z,y)). [hyper(5867,a,7225,a)]. given #6581 (H,wt=15): 7353 K(x \ (y \ (z * y)),y) = K(x \ z,y). [para(32(a,1),7253(a,1,1,2))]. given #6582 (H,wt=15): 7359 K(T(x,y) * z,x) = K(z * T(x,y),x). [para(93(a,1),7260(a,1,1)),flip(a)]. given #6583 (H,wt=15): 7360 K(T(x,T(y,z)) * u,y) = K(x * u,y). [para(5217(a,1),7260(a,1,1))]. given #6584 (H,wt=15): 7361 K(x / y,z) \ y = y * K(z,y \ x). [para(115(a,1),7270(a,1,2,2)),flip(a)]. given #6585 (H,wt=15): 7381 K(x,y * (z * K(u,x))) = K(x,y * z). [para(6439(a,1),7134(a,1,2)),flip(a)]. given #6586 (H,wt=15): 7388 K((K(x,y) * z) * u,x) = K(z * u,x). [para(109(a,1),7312(a,1,1))]. given #6587 (H,wt=15): 7407 K(x,(x \ y) \ (x \ z)) = K(x,y \ z). [para(14(a,1),7002(a,2,2,2))]. given #6588 (H,wt=15): 7408 K(x,(y * x) \ z) = K(x,y \ (x \ z)). [hyper(228,a,6533,a,b,7015,a(flip)),flip(a)]. given #6589 (H,wt=15): 7413 L(x,y,x) * K(x,z) = L(T(x,z),y,x). [hyper(3163,a,7025,a)]. given #6590 (H,wt=15): 7416 R(x,y,x) * K(x,z) = R(T(x,z),y,x). [hyper(228,a,42,a,b,7036,a)]. given #6591 (H,wt=15): 7418 (K(x,y) * z) * x = T(x,y) * T(z,x). [hyper(228,a,4979,a(flip),b,7042,a)]. given #6592 (H,wt=15): 7454 T(K(x,y) * z,y) = K(x,y) * T(z,y). [hyper(171,a,7104,a,b,5470,a)]. given #6593 (H,wt=15): 7461 T(x,(y * x) / z) = T(x,y / (x \ z)). [hyper(228,a,7070,a(flip),b,7107,a)]. given #6594 (H,wt=15): 7462 T((x * y) / T(x,z),x) = y * K(z,x). [hyper(5265,a,7116,a)]. given #6595 (H,wt=15): 7475 K((x * y) \ z,y) = K(x \ (y \ z),y). [hyper(228,a,6531,a,b,7118,a(flip)),flip(a)]. given #6596 (H,wt=15): 7476 K((x \ y) \ (x \ z),x) = K(y \ z,x). [para(14(a,1),7118(a,1,1,1)),flip(a)]. given #6597 (H,wt=15): 7479 K(x,(y * x) / z) = K(x,y / (x \ z)). [hyper(228,a,7043,a,b,7133,a(flip)),flip(a)]. given #6598 (H,wt=15): 7480 K(x,T(K(x,y) * z,u)) = K(x,T(z,u)). [para(5042(a,1),7136(a,1,2,1)),flip(a)]. given #6599 (H,wt=15): 7482 T(K(x,y),z * T(y,u)) = K(x,T(y,z)). [para(15(a,1),7142(a,1,2,2)),flip(a)]. given #6600 (H,wt=15): 7486 K(x,K(y,z)) * T(z,y) = T(z,T(y,x)). [para(7185(a,1),5882(a,1,1))]. given #6601 (H,wt=13): 7554 T(x,T(y,T(z,x))) = T(x,T(y,z)). [para(7486(a,1),7288(a,1,2))]. given #6602 (H,wt=13): 7555 K(x,T(y,T(z,x))) = K(x,T(y,z)). [para(7486(a,1),7289(a,1,2))]. given #6603 (H,wt=15): 7491 K(T(T(x,y),z),u) = K(x,T(T(u,y),z)). [hyper(7329,a,7213,a)]. given #6604 (H,wt=15): 7496 T(x,T(y,x \ z)) = x * K(x,T(y,z)). [para(7492(a,1),4705(a,2,2))]. given #6605 (H,wt=13): 7560 T(x,T(y,x \ z)) = T(x,T(y,z)). [hyper(228,a,4705,a,b,7496,a)]. given #6606 (H,wt=11): 7562 T(x,T(y,x \ y)) = T(x,y). [para(112(a,1),7560(a,2,2))]. given #6607 (H,wt=11): 7566 T(x,T(y,y / x)) = T(x,y). [para(3765(a,2),7562(a,1,2))]. given #6608 (H,wt=13): 7565 T(x,T(x * y,y)) = T(x,x * y). [para(13(a,1),7562(a,1,2,2))]. given #6609 (H,wt=15): 7501 K(x,y) * T(x,T(z,y)) = T(T(x,y),z). [hyper(5460,a,7226,a)]. given #6610 (H,wt=15): 7502 K(x,y) \ T(T(x,y),z) = T(x,T(z,y)). [hyper(71,a,7226,a(flip),b,5458,a)]. given #6611 (H,wt=15): 7503 T(x,T(y,z)) \ T(T(x,z),y) = K(x,z). [hyper(71,a,7226,a(flip),b,5002,a(flip))]. given #6612 (H,wt=15): 7505 K(x,y) * T(T(y,z),x) = T(y,T(z,x)). [para(7240(a,1),5582(a,1,2))]. given #6613 (H,wt=15): 7509 K(x * (K(y,z) * u),y) = K(x * u,y). [para(7174(a,1),7263(a,1,1,2))]. given #6614 (H,wt=15): 7518 (T(x,y) * z) / T(x,z) = K(x,y) * z. [para(7294(a,1),61(a,1,2))]. given #6615 (H,wt=15): 7519 T(x,(y / x) \ z) = T(x,y \ (x * z)). [hyper(228,a,7096,a(flip),b,7299,a)]. given #6616 (H,wt=15): 7520 K(x,T(y,K(x,z) * u)) = K(x,T(y,u)). [hyper(228,a,7202,a(flip),b,7300,a)]. given #6617 (H,wt=15): 7521 K(x,(y / x) \ z) = K(x,y \ (x * z)). [hyper(228,a,7002,a(flip),b,7305,a)]. given #6618 (H,wt=15): 7522 T(x,T(y \ 1,z)) = T(x,(y * z) \ z). [hyper(5768,a,7318,a),flip(a)]. given #6619 (H,wt=15): 7526 K(T(x,y) \ 1,z) = K(y \ (x \ y),z). [hyper(228,a,7164,a,b,7330,a),flip(a)]. given #6620 (H,wt=15): 7532 T(x / y,z) \ x = y * K(z,y \ x). [hyper(5710,a,7361,a)]. given #6621 (H,wt=15): 7542 T(K(x,y) * z,x) = K(x,y) * T(z,x). [hyper(171,a,7418,a,b,4675,a)]. given #6622 (H,wt=15): 7545 T(x * K(y,z),y) = T(x,y) * K(y,z). [hyper(6586,a,7454,a),flip(a)]. given #6623 (H,wt=15): 7546 K(x,y) * T(K(x,y) \ z,x) = T(z,x). [hyper(6585,a,7454,a)]. given #6624 (H,wt=15): 7549 T(x / T(y,z),y) = (y \ x) * K(z,y). [para(14(a,1),7462(a,1,1,1))]. given #6625 (H,wt=15): 7550 K((x * y) \ (z * y),y) = K(x \ z,y). [hyper(228,a,7353,a(flip),b,7475,a)]. given #6626 (H,wt=15): 7552 K((x \ y) \ z,x) = K(y \ (z * x),x). [hyper(228,a,7353,a(flip),b,7476,a(flip)),flip(a)]. given #6627 (H,wt=15): 7557 T(x,T(y,z / x)) = T(x,T(y,x \ z)). [para(115(a,1),7554(a,1,2,2)),flip(a)]. given #6628 (H,wt=13): 7587 T(x,T(y,z / x)) = T(x,T(y,z)). [hyper(228,a,7560,a(flip),b,7557,a)]. given #6629 (H,wt=15): 7558 K(x,T(y,z / x)) = K(x,T(y,x \ z)). [para(115(a,1),7555(a,1,2,2)),flip(a)]. given #6630 (H,wt=13): 7590 K(x,T(y,z / x)) = T(K(x,y),z). [hyper(228,a,7493,a(flip),b,7558,a)]. given #6631 (H,wt=13): 7591 K(x,T(y,z / x)) = K(x,T(y,z)). [hyper(228,a,7492,a(flip),b,7558,a)]. given #6632 (H,wt=13): 7592 T(K(x,y),z * x) = K(x,T(y,z)). [para(15(a,1),7590(a,1,2,2)),flip(a)]. given #6633 (H,wt=13): 7593 K(x,T(y,z * x)) = K(x,T(y,z)). [para(15(a,1),7591(a,1,2,2)),flip(a)]. given #6634 (H,wt=15): 7572 K(x,T(y,K(z,x) * u)) = K(x,T(y,u)). [para(5042(a,1),7520(a,1,2,2)),flip(a)]. given #6635 (H,wt=15): 7573 K((x * y) \ y,z) = K(y \ (x \ y),z). [hyper(5788,a,7526,a)]. given #6636 (H,wt=15): 7574 x / T(y \ x,z) = T(x / y,z) \ x. [hyper(228,a,5258,a,b,7532,a),flip(a)]. given #6637 (H,wt=15): 7575 T(x * K(y,z),z) = T(x,z) * K(y,z). [hyper(6586,a,7542,a),flip(a)]. given #6638 (H,wt=15): 7576 T(K(x,y) * T(y,z),x) = T(y,T(z,x)). [hyper(228,a,7505,a(flip),b,7542,a)]. given #6639 (H,wt=15): 7579 x \ (y * T(x,z)) = T(y,x) * K(x,z). [hyper(5228,a,7545,a)]. given #6640 (H,wt=15): 7585 K(x \ ((y \ z) * y),y) = K(x \ z,y). [hyper(228,a,7476,a(flip),b,7552,a(flip))]. given #6641 (H,wt=15): 7586 K(x \ (y * z),z) = K(x \ (z * y),z). [hyper(228,a,7119,a(flip),b,7552,a(flip))]. given #6642 (H,wt=15): 7588 T(x,T(y,z / x)) = x * T(K(x,y),z). [hyper(228,a,7181,a,b,7587,a)]. given #6643 (H,wt=15): 7589 T(x \ y,T(z,y)) = T(x \ y,T(z,x)). [para(61(a,1),7587(a,1,2,2)),flip(a)]. given #6644 (H,wt=13): 7606 T(x \ 1,T(y,x)) = T(x \ 1,y). [para(143(a,1),7589(a,1,2)),flip(a)]. given #6645 (H,wt=15): 7595 K(x,T(y,z \ 1)) = K(x,T(y,z \ x)). [para(4106(a,1),7591(a,1,2))]. given #6646 (H,wt=15): 7598 K(x,T(y,K(z,x) * u)) = T(K(x,y),u). [hyper(228,a,7152,a(flip),b,7572,a)]. given #6647 (H,wt=15): 7599 K(x,T(y,z * K(u,x))) = K(x,T(y,z)). [para(7326(a,1),7572(a,1,2,2))]. given #6648 (H,wt=15): 7601 x / T((y \ x) \ x,z) = T(y,z) \ x. [para(61(a,1),7574(a,2,1,1))]. given #6649 (H,wt=15): 7603 T(x / (x / y),z) \ x = x / T(y,z). [para(64(a,1),7574(a,1,2,1)),flip(a)]. given #6650 (H,wt=15): 7609 T(K(x,y),K(z,x) * u) = T(K(x,y),u). [hyper(228,a,7152,a(flip),b,7598,a(flip)),flip(a)]. given #6651 (H,wt=15): 7610 K(x,T(y,z * K(x,u))) = K(x,T(y,z)). [para(5062(a,1),7599(a,1,2,2)),flip(a)]. given #6652 (H,wt=15): 7611 (T(x,y) \ z) \ z = T((x \ z) \ z,y). [para(7601(a,1),64(a,1,1))]. given #6653 (H,wt=15): 7612 x / T(T(y,y \ x),z) = T(y,z) \ x. [para(114(a,2),7601(a,1,2,1))]. given #6654 (H,wt=15): 7614 x / (x / T(y,z)) = T(x / (x / y),z). [para(7603(a,1),61(a,1,2))]. given #6655 (H,wt=15): 7617 T(K(x,y),z * K(u,x)) = T(K(x,y),z). [para(7326(a,1),7609(a,1,2))]. given #6656 (H,wt=16): 7026 K(x,L(L(y,z,x),u,w)) = K(x,L(y,u,w)). [para(45(a,1),7018(a,1,2))]. given #6657 (H,wt=16): 7121 K(L(L(x,y,z),u,w),z) = K(L(x,u,w),z). [para(45(a,1),7117(a,1,1))]. given #6658 (H,wt=16): 7147 K(x,T(y,y \ z)) != u | K(x,T(y,z)) = u. [para(4101(a,1),7099(a,1,2))]. given #6659 (H,wt=14): 7634 T(K(x,y),z) != u | K(x,T(y,z)) = u. [para(6214(a,1),7147(a,1))]. given #6660 (H,wt=14): 7637 K(T(x,y),z) != u | K(x,T(z,y)) = u. [para(7198(a,2),7634(a,1))]. given #6661 (H,wt=16): 7175 x * K(y,T(z,x)) != u * x | K(y,z) = u. [para(7152(a,2),174(a,1,2)),flip(b)]. given #6662 (H,wt=16): 7176 x * K(y,T(z,x)) != u | K(y,z) * x = u. [para(7152(a,2),219(a,1,2))]. given #6663 (H,wt=16): 7182 x * T(K(x,y),z) != u | T(x,T(y,z)) = u. [para(7152(a,1),4708(a,1,2))]. given #6664 (H,wt=16): 7184 K(x / y,T(z,x)) != u | K(y \ x,z) = u. [para(7152(a,2),5790(a,1))]. given #6665 (H,wt=16): 7191 K(x,T(y / z,y)) != u | K(x,z \ y) = u. [para(7152(a,2),6209(a,1))]. given #6666 (H,wt=16): 7228 x / K(y,T(x,z)) != u | T(x,T(y,z)) = u. [para(7202(a,1),4661(a,1,2))]. given #6667 (H,wt=16): 7229 x * K(T(x,y),z) != u | T(x,T(z,y)) = u. [para(7202(a,2),4708(a,1,2))]. given #6668 (H,wt=16): 7282 K(x,y) * z != z * u | K(x,T(y,z)) = u. [para(7174(a,1),19(a,1))]. given #6669 (H,wt=16): 7319 T(x,T(y,z)) != x * u | T(K(x,y),z) = u. [para(7181(a,1),19(a,1))]. given #6670 (H,wt=16): 7335 K((x * y) / x,T(z,x)) != u | K(y,z) = u. [para(7216(a,2),5784(a,1))]. given #6671 (H,wt=16): 7349 T(x,T(y,z)) != u | x * K(T(x,z),y) = u. [para(7224(a,1),5067(a,1))]. given #6672 (H,wt=16): 7357 K(x \ L(K(y,z),u,w),y) = K(x \ 1,y). [para(6100(a,1),7256(a,1,1,2))]. given #6673 (H,wt=16): 7375 K(T(x / (x / y),x),z) != u | K(y,z) = u. [para(4009(a,2),7373(a,1,1))]. given #6674 (H,wt=16): 7380 K(x,y \ T(x,z)) != u | K(x,y \ x) = u. [para(6265(a,1),7129(a,1,2))]. given #6675 (H,wt=16): 7382 T(K(x,y),(z * y) \ z) != u | K(x,y) = u. [para(5679(a,2),7190(a,1))]. given #6676 (H,wt=16): 7383 K(x \ T(y,z),z) != u | K(x \ y,z) = u. [para(1384(a,1),7251(a,1,1))]. given #6677 (H,wt=16): 7404 K(T(x,R(y,z,u)) * w,y) = K(x * w,y). [para(4681(a,1),7389(a,1,1)),flip(a)]. given #6678 (H,wt=16): 7440 R(T(x,y),x \ y,T(x,z)) = (x \ y) \ y. [hyper(228,a,4004,a(flip),b,7058,a)]. given #6679 (H,wt=16): 7460 T(x,L(y,z,K(u,x))) = (K(y,x) / x) \ 1. [para(7459(a,1),4667(a,2,1,1))]. given #6680 (H,wt=12): 7650 T(x,L(y,z,K(u,x))) = T(x,y). [hyper(228,a,4667,a,b,7460,a)]. given #6681 (H,wt=16): 7489 K(x * y,K(x,z)) != u | K(y,K(x,z)) = u. [para(7488(a,1),5784(a,1))]. given #6682 (H,wt=16): 7556 K(x,T(y,T(z,R(x,u,w)))) = K(x,T(y,z)). [para(7486(a,1),7387(a,1,2))]. given #6683 (H,wt=16): 7561 T(x,T(y,x \ z)) != u | T(x,T(y,z)) = u. [para(7496(a,2),4708(a,1))]. given #6684 (H,wt=16): 7597 K(L(x,y,x),T(z,u)) = K(x,T(z,u * x)). [hyper(228,a,7016,a,b,7593,a),flip(a)]. given #6685 (H,wt=16): 7635 K((x \ y) \ y,z) != u | K(x,T(z,y)) = u. [para(5502(a,2),7634(a,1))]. given #6686 (H,wt=16): 7638 K(x,T(y,x \ z)) != u | K(x,T(y,z)) = u. [para(7493(a,2),7634(a,1))]. given #6687 (H,wt=16): 7641 T(x,T(y,z / x)) != u | T(x,T(y,z)) = u. [para(7588(a,2),7182(a,1))]. given #6688 (H,wt=16): 7646 K(x / y,T(z,y)) != u | K(y \ x,z) = u. [para(14(a,1),7335(a,1,1,1))]. given #6689 (H,wt=16): 7653 K(x,T(y,z * x)) != u | K(x,T(y,z)) = u. [para(7597(a,1),7373(a,1))]. given #6690 (H,wt=17): 6998 T((x / y) * K(y,z),y) = (y \ x) * K(y,z). [hyper(6067,a,6997,a)]. given #6691 (H,wt=17): 7003 x * ((y \ 1) * K(x,z)) = (y / x) \ K(x,z). [hyper(5728,a,7001,a),flip(a)]. given #6692 (H,wt=15): 7658 (x / y) \ K(y,z) = y * (x \ K(y,z)). [para(5131(a,1),7003(a,1,2)),flip(a)]. given #6693 (H,wt=17): 7006 T(x,y) * T(z,K(x,y)) = (x * z) * K(x,y). [hyper(228,a,4984,a,b,7001,a),flip(a)]. given #6694 (H,wt=15): 7660 T((x * y) / x,T(x,z)) = T(y,K(x,z)). [hyper(5278,a,7006,a)]. given #6695 (H,wt=13): 7663 T(T(x,y),K(y,z)) = T(x,T(y,z)). [para(166(a,1),7660(a,1,1)),flip(a)]. given #6696 (H,wt=13): 7664 T(T(x,K(y,z)),y) = T(x,T(y,z)). [para(7660(a,1),201(a,1,1))]. given #6697 (H,wt=13): 7666 T(1 / x,T(y,x)) = T(1 / x,y). [para(2060(a,1),7664(a,1,1)),flip(a)]. given #6698 (H,wt=15): 7662 T(x * y,K(y,z)) / y = T(x,K(y,z)). [hyper(228,a,5886,a,b,7660,a(flip)),flip(a)]. given #6699 (H,wt=15): 7665 T(T(x,y),K(y,z)) = x * T(K(x,y),z). [hyper(228,a,7181,a,b,7663,a)]. given #6700 (H,wt=15): 7668 x \ T(y,K(x,z)) = T(x \ y,K(x,z)). [hyper(4495,a,7662,a)]. given #6701 (H,wt=15): 7669 T(x * y,K(y,z)) = T(x,K(y,z)) * y. [para(7662(a,1),16(a,1,1)),flip(a)]. given #6702 (H,wt=16): 7672 T(T(x,y),K(y,z)) != u | T(x,T(y,z)) = u. [para(7665(a,2),7182(a,1))]. given #6703 (H,wt=16): 7674 T(T(x,K(y,z)),y) != u | T(x,T(y,z)) = u. [para(38(a,1),7672(a,1))]. given #6704 (H,wt=14): 7675 T(x,y) != z | T(x,T(y,x / y)) = z. [para(4638(a,1),7674(a,1,1))]. given #6705 (H,wt=14): 7676 T(x,y) != z | T(x,T(y,T(x,u))) = z. [para(6221(a,1),7674(a,1,1))]. given #6706 (H,wt=17): 7008 (x * (y * K(x,z))) * x = (x * y) * T(x,z). [para(7001(a,1),5177(a,1,1))]. given #6707 (H,wt=17): 7024 (x * K(y,x)) * L(y,z,y) = L(y,z,y) * x. [para(7016(a,1),4715(a,1,1,2))]. given #6708 (H,wt=17): 7051 R(x / y,z,x / y) = R(x / y,z,y \ x). [para(115(a,1),7013(a,1,3)),flip(a)]. given #6709 (H,wt=17): 7103 R(x * K(y,x),z,x) = R(x,z,x) * K(y,x). [para(7098(a,1),5822(a,1,2)),flip(a)]. given #6710 (H,wt=17): 7124 R(x,y,x) * (x \ z) = (z / x) * R(x,y,x). [para(7089(a,1),113(a,1,2))]. given #6711 (H,wt=17): 7154 K(x,T(y * z,y \ 1)) = K(x,T(y * z,z)). [para(3871(a,1),7102(a,1,2))]. given #6712 (H,wt=17): 7196 T(T(x,K(y,z)) * K(y,x),y) = T(x,K(y,z)). [para(7169(a,1),4674(a,1,1,2))]. given #6713 (H,wt=17): 7200 K(T(x * K(y,z),x),u) = K(K(y,z) * x,u). [para(5070(a,1),7126(a,1,1)),flip(a)]. given #6714 (H,wt=17): 7210 K(x,T(y,z) \ T(x,z)) = K(x,T(y \ x,z)). [hyper(228,a,6692,a,b,7202,a(flip)),flip(a)]. given #6715 (H,wt=15): 7683 K(x,T(y,z) \ x) = K(x,T(y \ x,z)). [hyper(7380,a,7210,a)]. given #6716 (H,wt=17): 7214 K(L(T(x,y),z,u),w) = K(L(x,z,u),T(w,y)). [para(40(a,2),7202(a,1,1))]. given #6717 (H,wt=17): 7215 K(R(T(x,y),z,u),w) = K(R(x,z,u),T(w,y)). [para(42(a,2),7202(a,1,1))]. given #6718 (H,wt=17): 7232 K(x,T(y,z)) * (y \ u) = T(y,T(x,z)) \ u. [para(7202(a,1),5004(a,1,1))]. given #6719 (H,wt=17): 7233 (x * K(y,T(z,u))) \ (x * z) = T(z,T(y,u)). [para(7202(a,1),5151(a,1,1,2))]. given #6720 (H,wt=17): 7246 K(x,y) * T(x,K(y,z)) = T(T(x,K(y,z)),y). [para(7204(a,1),4712(a,2,1)),flip(a)]. given #6721 (H,wt=15): 7690 K(x,y) * T(x,K(y,z)) = T(x,T(y,z)). [hyper(228,a,7664,a(flip),b,7246,a)]. given #6722 (H,wt=15): 7691 K(x,K(y,z)) * T(x,y) = T(x,T(y,z)). [hyper(5460,a,7690,a)]. given #6723 (H,wt=11): 7692 K(x,K(y,z)) = K(z,K(y,x)). [hyper(18,a,7486,a,b,7691,a)]. given #6724 (H,wt=11): 7693 K(K(x,y),z) = K(x,K(y,z)). [hyper(5978,a,7692,a)]. given #6725 (H,wt=13): 7694 K(x * y,K(y,z)) = K(z,K(y,x)). [hyper(228,a,7487,a,b,7692,a),flip(a)]. given #6726 (H,wt=13): 7697 x * K(y,K(z,x)) = T(x,K(z,y)). [para(7692(a,1),4705(a,2,2)),flip(a)]. given #6727 (H,wt=13): 7698 K(x,K(y,z)) * z = T(z,K(y,x)). [para(7692(a,1),4712(a,2,1)),flip(a)]. given #6728 (H,wt=13): 7702 K(x,K(y,z)) \ 1 = K(z,K(x,y)). [para(7692(a,1),5973(a,1,1))]. given #6729 (H,wt=11): 7723 K(x,K(y,z)) = K(y,K(x,z)). [hyper(5976,a,7702,a)]. given #6730 (H,wt=11): 7724 K(K(x,y),z) = K(y,K(z,x)). [hyper(4887,a,7702,a)]. given #6731 (H,wt=11): 7727 K(K(x,y),z) = K(y,K(x,z)). [hyper(228,a,7693,a,b,7723,a),flip(a)]. given #6732 (H,wt=11): 7728 K(x,K(y,z)) = K(z,K(x,y)). [hyper(228,a,7692,a,b,7723,a)]. given #6733 (H,wt=11): 7739 K(K(x,y),z) = K(x,K(z,y)). [hyper(228,a,7692,a,b,7724,a)]. given #6734 (H,wt=11): 7740 K(K(x,y),z) = K(z,K(x,y)). [hyper(228,a,7692,a,b,7727,a)]. given #6735 (H,wt=11): 7741 K(x,K(y,z)) = K(x,K(z,y)). [hyper(228,a,7724,a(flip),b,7727,a(flip))]. given #6736 (H,wt=13): 7710 K(x,K(y,z)) \ z = T(z,K(x,y)). [para(7693(a,1),4666(a,2,1)),flip(a)]. given #6737 (H,wt=13): 7720 K(x,K(y,z * y)) = K(x,K(y,z)). [hyper(228,a,7692,a,b,7694,a(flip)),flip(a)]. given #6738 (H,wt=13): 7726 K(x,K(x * y,z)) = K(y,K(x,z)). [hyper(7489,a,7723,a),flip(a)]. given #6739 (H,wt=13): 7729 x * K(y,K(x,z)) = T(x,K(y,z)). [para(7723(a,1),4705(a,2,2)),flip(a)]. given #6740 (H,wt=13): 7730 K(x,K(y,z)) * y = T(y,K(x,z)). [para(7723(a,1),4712(a,2,1)),flip(a)]. given #6741 (H,wt=13): 7737 x * K(y,K(z,x)) = T(x,K(y,z)). [para(7723(a,1),7697(a,1,2))]. given #6742 (H,wt=11): 7785 T(x,K(y,z)) = T(x,K(z,y)). [hyper(228,a,7697,a(flip),b,7737,a(flip))]. given #6743 (H,wt=11): 7789 T(T(x,K(y,z)),K(y,z)) = x. [hyper(5982,a,7785,a)]. given #6744 (H,wt=13): 7738 K(x,K(y,z)) * z = T(z,K(x,y)). [para(7723(a,1),7698(a,1,1))]. given #6745 (H,wt=13): 7744 x * K(K(y,z),x) = T(x,K(y,z)). [para(7727(a,2),7697(a,1,2))]. given #6746 (H,wt=13): 7746 K(x,K(y,z)) * y = T(y,K(z,x)). [para(7728(a,1),4712(a,2,1)),flip(a)]. given #6747 (H,wt=13): 7757 x * K(x,K(y,z)) = T(x,K(z,y)). [para(7728(a,1),7697(a,1,2))]. given #6748 (H,wt=13): 7758 K(x,K(y,z)) * x = T(x,K(z,y)). [para(7728(a,1),7698(a,1,1))]. given #6749 (H,wt=13): 7761 K(x,K(y,z)) * K(x,K(y,z)) = 1. [hyper(70,a,7740,a,b,5042,a),flip(a)]. given #6750 (H,wt=13): 7777 K(x,K(y,z * y)) = K(x,K(z,y)). [hyper(228,a,7741,a,b,7720,a)]. given #6751 (H,wt=13): 7778 K(x,K(y,z * y)) = K(y,K(x,z)). [hyper(228,a,7723,a,b,7720,a)]. given #6752 (H,wt=13): 7779 K(x,K(y,z / y)) = K(x,K(y,z)). [para(16(a,1),7720(a,1,2,2)),flip(a)]. given #6753 (H,wt=13): 7781 K(x,K(y,y * z)) = K(x,K(y,z)). [para(5433(a,1),7720(a,1,2))]. given #6754 (H,wt=13): 7783 K(x,K(x * y,z)) = K(x,K(y,z)). [hyper(228,a,7723,a,b,7726,a)]. given #6755 (H,wt=13): 7786 T(T(x,y),K(z,y)) = T(x,T(y,z)). [hyper(7672,a,7785,a),flip(a)]. given #6756 (H,wt=13): 7797 T(T(x,K(y,z)),z) = T(x,T(z,y)). [para(7785(a,1),7664(a,1,1))]. given #6757 (H,wt=13): 7800 T(K(x,y),z) * z = z * K(x,y). [para(7789(a,1),4086(a,1,2))]. given #6758 (H,wt=11): 7813 T(T(K(x,y),z),z) = K(x,y). [hyper(406,a,7800,a)]. given #6759 (H,wt=11): 7819 T(K(x,T(y,z)),z) = K(x,y). [hyper(18,a,7174,a(flip),b,7800,a)]. given #6760 (H,wt=11): 7828 K(x,T(T(y,z),z)) = K(x,y). [hyper(7634,a,7819,a)]. given #6761 (H,wt=11): 7829 K(T(x,y),T(z,y)) = K(x,z). [hyper(7393,a,7819,a)]. given #6762 (H,wt=13): 7806 K(x,K(y,y * z)) = K(y,K(x,z)). [para(5433(a,1),7778(a,1,2))]. given #6763 (H,wt=13): 7807 K(x,K(y,y \ z)) = K(x,K(y,z)). [para(4874(a,1),7779(a,1,2))]. given #6764 (H,wt=13): 7810 K(x,K(x \ y,z)) = K(x,K(y,z)). [para(14(a,1),7783(a,1,2,1)),flip(a)]. given #6765 (H,wt=13): 7814 (x * K(y,z)) / x = T(K(y,z),x). [hyper(85,a,7800,a)]. given #6766 (H,wt=13): 7815 T(K(x \ y,z),x) = K(y / x,z). [hyper(18,a,7325,a,b,7800,a)]. given #6767 (H,wt=13): 7816 T(K(x,y \ z),y) = K(x,z / y). [hyper(18,a,7284,a,b,7800,a)]. given #6768 (H,wt=13): 7818 T(K(x \ y,z),y) = K(y / x,z). [hyper(18,a,5494,a,b,7800,a)]. given #6769 (H,wt=13): 7823 K(x,T(y,z)) * z = z * K(x,y). [para(7152(a,2),7800(a,1,1))]. given #6770 (H,wt=13): 7824 K(T(x,y),z) * y = y * K(x,z). [para(7198(a,2),7800(a,1,1))]. given #6771 (H,wt=13): 7831 K(x \ y,T(z,y)) = K(y / x,z). [hyper(5790,a,7819,a)]. given #6772 (H,wt=13): 7833 (x * K(y,z)) / x = K(y,T(z,x)). [para(7819(a,1),166(a,1,1,2))]. given #6773 (H,wt=13): 7836 K(x,T(y,z)) \ z = z / K(x,y). [para(7819(a,1),6008(a,1,2)),flip(a)]. given #6774 (H,wt=13): 7837 K(x \ y,T(z,x)) = K(y / x,z). [hyper(7646,a,7828,a)]. given #6775 (H,wt=13): 7838 K((x * y) / x,z) = K(y,T(z,x)). [hyper(7335,a,7828,a),flip(a)]. given #6776 (H,wt=13): 7842 K(x,T(y \ z,y)) = K(x,z / y). [para(115(a,1),7828(a,1,2,1))]. given #6777 (H,wt=13): 7843 K(x,(y * z) / y) = K(x,T(z,y)). [para(165(a,1),7828(a,1,2,1)),flip(a)]. given #6778 (H,wt=13): 7844 K(x,y * K(z,y)) = K(x,T(y,z)). [para(4674(a,1),7828(a,1,2,1)),flip(a)]. given #6779 (H,wt=13): 7846 K(x / (x / y),z) = K(y,T(z,x)). [hyper(7375,a,7829,a),flip(a)]. given #6780 (H,wt=13): 7847 K(T(x,y),z \ y) = K(x,y / z). [hyper(7191,a,7829,a)]. given #6781 (H,wt=13): 7851 K(T(x,y),y \ z) = K(x,z / y). [para(115(a,1),7829(a,1,2))]. given #6782 (H,wt=13): 7852 K(x,(y * z) / y) = K(T(x,y),z). [para(165(a,1),7829(a,1,2)),flip(a)]. given #6783 (H,wt=13): 7858 K(x * K(y,x),z) = K(x,T(z,y)). [para(4674(a,1),7829(a,1,1)),flip(a)]. given #6784 (H,wt=13): 7859 K(x,y * K(z,y)) = K(T(x,z),y). [para(4674(a,1),7829(a,1,2)),flip(a)]. given #6785 (H,wt=13): 7861 x * K(T(x,y),T(z,y)) = T(x,z). [para(7829(a,2),4705(a,2,2)),flip(a)]. given #6786 (H,wt=11): 7927 T(x,T(T(y,z),z)) = T(x,y). [hyper(7229,a,7861,a)]. given #6787 (H,wt=13): 7866 K(x,K(y,x * z)) = K(x,K(y,z)). [hyper(228,a,7723,a,b,7806,a(flip)),flip(a)]. given #6788 (H,wt=13): 7868 K(x,K(y,x \ z)) = K(x,K(z,y)). [hyper(228,a,7741,a,b,7810,a(flip)),flip(a)]. given #6789 (H,wt=13): 7880 K(x,T(y \ z,z)) = K(x,z / y). [hyper(18,a,6207,a,b,7823,a)]. given #6790 (H,wt=13): 7892 K(x,T(y,z)) * (z * K(y,x)) = z. [hyper(5071,a,7824,a)]. given #6791 (H,wt=13): 7899 T(K(x,y),z) \ z = z / K(x,y). [para(7152(a,1),7836(a,1,1))]. given #6792 (H,wt=13): 7928 T(x,T(y \ z,y)) = T(x,z / y). [para(115(a,1),7927(a,1,2,1))]. given #6793 (H,wt=13): 7929 T(x,(y * z) / y) = T(x,T(z,y)). [para(165(a,1),7927(a,1,2,1)),flip(a)]. given #6794 (H,wt=13): 7931 T(x,y * K(z,y)) = T(x,T(y,z)). [para(4674(a,1),7927(a,1,2,1)),flip(a)]. given #6795 (H,wt=13): 7936 K(x,y / (y / z)) = K(x,T(z,y)). [para(64(a,1),7880(a,1,2,1)),flip(a)]. given #6796 (H,wt=13): 7940 T(x,y / (y / z)) = T(x,T(z,y)). [hyper(228,a,7093,a(flip),b,7929,a(flip)),flip(a)]. given #6797 (H,wt=13): 7942 T(x,K(y,z) \ y) = T(x,T(y,z)). [para(4800(a,2),7929(a,1,2))]. given #6798 (H,wt=13): 7950 T(x,T(y \ z,z)) = T(x,z / y). [para(61(a,1),7940(a,1,2,2)),flip(a)]. given #6799 (H,wt=14): 7703 K(x,K(y,z)) != u | K(K(x,y),z) = u. [para(7692(a,1),5978(a,1))]. given #6800 (H,wt=14): 7715 K(x,K(y,z)) != u | K(z,K(y,x)) = u. [para(7693(a,1),6012(a,1))]. given #6801 (H,wt=14): 7725 K(x,K(y,z)) != u | K(y,K(x,z)) = u. [para(7702(a,1),5976(a,1))]. given #6802 (H,wt=14): 7742 K(x,K(y,z)) != u | K(z,K(x,y)) = u. [para(7727(a,1),6012(a,1))]. given #6803 (H,wt=14): 7760 K(x,K(y,z)) != u | K(y,K(z,x)) = u. [para(7739(a,1),6012(a,1))]. given #6804 (H,wt=14): 7771 K(x,K(y,z)) != u | K(x,K(z,y)) = u. [para(7740(a,1),6012(a,1))]. given #6805 (H,wt=14): 7795 T(T(x,K(y,z)),K(y,z)) != u | u = x. [para(7785(a,1),5982(a,1,1))]. given #6806 (H,wt=14): 7801 T(x,K(y,z)) != u | T(x,K(z,y)) = u. [para(7789(a,1),5982(a,1,1)),flip(b)]. given #6807 (H,wt=14): 7908 K(x,T(T(y,z),z)) != u | K(x,y) = u. [para(7838(a,1),7335(a,1))]. given #6808 (H,wt=14): 7951 T(x,x / y) != z | T(x,y \ x) = z. [para(7950(a,1),3999(a,1))]. given #6809 (H,wt=14): 7952 K(K(x,y),z) != u | K(x,K(y,z)) = u. [para(5972(a,2),7715(a,1))]. given #6810 (H,wt=14): 7953 K(K(x,y),z) != u | K(z,K(x,y)) = u. [para(7727(a,2),7715(a,1))]. given #6811 (H,wt=14): 7954 K(K(x,y),z) != u | K(y,K(z,x)) = u. [para(7739(a,2),7715(a,1))]. given #6812 (H,wt=14): 7961 T(K(x,T(y,z)),z) != u | K(x,y) = u. [para(7152(a,1),7908(a,1))]. given #6813 (H,wt=14): 7962 K(T(x,y),T(z,y)) != u | K(x,z) = u. [para(7202(a,2),7908(a,1))]. given #6814 (H,wt=14): 7971 T(K(x,y),T(x,z)) != u | K(x,y) = u. [para(5103(a,1),7961(a,1,1))]. given #6815 (H,wt=15): 7696 K(x,K(y,z)) \ K(y,x) = T(K(y,x),z). [para(7692(a,1),4666(a,2,1)),flip(a)]. given #6816 (H,wt=15): 7704 K(x,K(y,z)) * K(x,y) = T(K(x,y),z). [para(7692(a,1),5971(a,1,1))]. given #6817 (H,wt=15): 7705 K(x,y) * K(x,K(y,z)) = T(K(x,y),z). [para(7692(a,1),5974(a,1,2))]. given #6818 (H,wt=15): 7706 K(x,y) * K(x,K(y,z)) = K(x,T(y,z)). [para(7692(a,1),7162(a,1,2))]. given #6819 (H,wt=10): 7983 K(x,K(y,R(x,z,u))) = 1. [hyper(70,a,7221,a(flip),b,7706,a),flip(a)]. given #6820 (H,wt=10): 7985 T(x,K(y,R(x,z,u))) = x. [hyper(37,a,7983,a)]. given #6821 (H,wt=12): 7982 K(x,K(y,R(T(x,z),u,w))) = 1. [hyper(70,a,7223,a(flip),b,7706,a),flip(a)]. given #6822 (H,wt=14): 7986 T(T(x,y),K(z,R(x,u,w))) = T(x,y). [para(7985(a,1),38(a,1,1)),flip(a)]. given #6823 (H,wt=15): 7707 K(x,K(y,z)) * K(x,y) = K(x,T(y,z)). [para(7692(a,1),7163(a,1,1))]. given #6824 (H,wt=15): 7718 K(x,K(K(x,y) * z,u)) = K(K(x,z),u). [para(7289(a,1),7693(a,1,1)),flip(a)]. given #6825 (H,wt=15): 7719 K(K(x,y) * z,K(x,u)) = K(K(z,x),u). [para(7292(a,1),7693(a,1,1)),flip(a)]. given #6826 (H,wt=15): 7721 K(x,T(y,T(z,K(u,x)))) = K(x,T(y,z)). [para(7697(a,1),7610(a,1,2,2))]. given #6827 (H,wt=15): 7722 T(x,K(y,y * z)) = K(z,K(y,x)) * x. [para(7485(a,1),7698(a,1,1)),flip(a)]. given #6828 (H,wt=13): 7992 T(x,K(y,y * z)) = T(x,K(z,y)). [hyper(228,a,7738,a(flip),b,7722,a)]. given #6829 (H,wt=13): 7993 T(x,K(y,y * z)) = T(x,K(y,z)). [hyper(228,a,7698,a(flip),b,7722,a)]. given #6830 (H,wt=13): 7994 T(x,K(y,z * y)) = T(x,K(z,y)). [para(5433(a,2),7992(a,1,2))]. given #6831 (H,wt=13): 7997 T(x,K(y,y \ z)) = T(x,K(y,z)). [para(14(a,1),7993(a,1,2,2)),flip(a)]. given #6832 (H,wt=13): 7998 T(x,K(y,z / y)) = T(x,K(y,z)). [para(5435(a,1),7993(a,1,2)),flip(a)]. given #6833 (H,wt=15): 7734 K(x,y) * K(y,K(z,x)) = T(K(x,y),z). [para(7723(a,1),5974(a,1,2))]. given #6834 (H,wt=15): 7745 K(x,y) * K(y,T(x,z)) = K(x,K(y,z)). [hyper(228,a,7185,a,b,7728,a),flip(a)]. given #6835 (H,wt=15): 7753 K(x,K(y,T(z,u))) = K(z,K(x,T(y,u))). [para(7202(a,1),7728(a,1,2))]. given #6836 (H,wt=15): 7754 K(x,y) * K(x,K(z,y)) = K(x,T(y,z)). [para(7728(a,1),7162(a,1,2))]. given #6837 (H,wt=15): 7755 K(x,y) * K(y,K(x,z)) = K(x,T(y,z)). [para(7728(a,2),7162(a,1,2))]. given #6838 (H,wt=15): 7756 K(x,K(y,z)) * K(y,x) = K(y,T(x,z)). [para(7728(a,2),7163(a,1,1))]. given #6839 (H,wt=15): 7759 K(x,K(y,z)) / y = 1 / T(y,K(x,z)). [hyper(72,a,7739,a(flip),b,4646,a(flip))]. given #6840 (H,wt=15): 7762 K(x,y) * K(z,K(x,y)) = T(K(x,y),z). [para(7740(a,1),4705(a,2,2)),flip(a)]. given #6841 (H,wt=15): 7763 K(x,K(y,z)) \ u = K(x,K(y,z)) * u. [para(7740(a,1),5035(a,1,1))]. given #6842 (H,wt=15): 7776 K(x,K(y,T(z,u))) = K(x,T(K(z,y),u)). [para(7198(a,1),7741(a,1,2)),flip(a)]. given #6843 (H,wt=15): 7782 K(x,K(y,z \ 1)) = K(x,K(y,z \ y)). [para(5543(a,1),7720(a,1,2)),flip(a)]. given #6844 (H,wt=15): 7787 (K(x,y) * z) * K(y,x) = T(z,K(x,y)). [hyper(6091,a,7785,a)]. given #6845 (H,wt=15): 7788 T(K(x,y) * z,K(y,x)) = z * K(x,y). [hyper(5994,a,7785,a),flip(a)]. given #6846 (H,wt=15): 7790 T(x * K(y,z),K(y,z)) = K(y,z) * x. [hyper(5462,a,7785,a),flip(a)]. given #6847 (H,wt=15): 7791 x \ T(y,K(x,z)) = T(x \ y,K(z,x)). [hyper(228,a,7668,a,b,7785,a),flip(a)]. given #6848 (H,wt=15): 7792 K(x,y) * T(z,K(y,x)) = z * K(x,y). [para(7785(a,1),113(a,1,2))]. given #6849 (H,wt=15): 7796 T(x,K(y,z)) * K(y,z) = K(y,z) * x. [para(7785(a,1),5981(a,1,1))]. given #6850 (H,wt=15): 7804 T(x,K(y,x \ z)) = K(z,K(x,y)) * x. [para(7488(a,1),7746(a,1,1)),flip(a)]. given #6851 (H,wt=13): 8017 T(x,K(y,x \ z)) = T(x,K(y,z)). [hyper(228,a,7746,a(flip),b,7804,a)]. given #6852 (H,wt=13): 8018 T(x,K(y,x \ z)) = T(x,K(z,y)). [hyper(228,a,7730,a(flip),b,7804,a)]. given #6853 (H,wt=13): 8019 T(x,K(y,z / x)) = T(x,K(y,z)). [hyper(228,a,7317,a,b,8017,a(flip)),flip(a)]. given #6854 (H,wt=13): 8020 T(x,K(y,x * z)) = T(x,K(y,z)). [para(13(a,1),8017(a,1,2,2)),flip(a)]. given #6855 (H,wt=13): 8021 T(x,K(y,z / x)) = T(x,K(z,y)). [hyper(228,a,7317,a,b,8018,a(flip)),flip(a)]. given #6856 (H,wt=13): 8022 T(x,K(y,z * x)) = T(x,K(y,z)). [para(15(a,1),8019(a,1,2,2)),flip(a)]. given #6857 (H,wt=13): 8023 T(x,K(y,x * z)) = T(x,K(z,y)). [hyper(228,a,7785,a,b,8020,a)]. given #6858 (H,wt=15): 7808 K(x,K(y / z,z)) = K(x,K(y / z,y)). [para(16(a,1),7781(a,1,2,2)),flip(a)]. given #6859 (H,wt=15): 7817 T(K(x,y \ 1),z) = K(x,y \ K(y,z)). [hyper(18,a,6460,a,b,7800,a)]. given #6860 (H,wt=15): 7820 T(K(1 / T(x,y),z),y) = K(1 / x,z). [hyper(18,a,5862,a(flip),b,7800,a)]. given #6861 (H,wt=15): 7821 K(x \ y,z) * y = y * K(y / x,z). [para(5495(a,1),7800(a,1,1))]. given #6862 (H,wt=15): 7822 K(x,y \ z) * z = z * K(x,z / y). [para(6208(a,1),7800(a,1,1))]. given #6863 (H,wt=15): 7827 T(K(x,1 / T(y,z)),z) = K(x,1 / y). [para(5816(a,2),7813(a,1,1))]. given #6864 (H,wt=15): 7856 K(T(x,y \ z),y) = K(x,z / (z / y)). [para(3909(a,1),7829(a,1,2))]. given #6865 (H,wt=15): 7860 T(T(x,y),T(z,y)) = T(x,y) * K(x,z). [para(7829(a,1),4705(a,2,2))]. given #6866 (H,wt=15): 7869 x * ((x * K(y,z)) / x) = K(y,z) * x. [para(7814(a,2),113(a,1,2))]. given #6867 (H,wt=15): 7877 K(x / y,x / z) = K(y \ x,z \ x). [hyper(6209,a,7818,a),flip(a)]. given #6868 (H,wt=15): 7879 x / K(x / y,z) = K(y \ x,z) \ x. [para(7818(a,1),6008(a,1,2))]. given #6869 (H,wt=15): 7882 K(x,T((y \ z) \ 1,y)) = K(x,y / z). [hyper(18,a,6204,a(flip),b,7823,a)]. given #6870 (H,wt=15): 7883 (x * K(y,z)) / (y \ x) = T(y,T(z,x)). [hyper(72,a,7823,a(flip),b,4676,a)]. given #6871 (H,wt=15): 7887 T(x,T(y,z)) * z = x * (z * K(x,y)). [para(7823(a,1),4675(a,1,2)),flip(a)]. given #6872 (H,wt=15): 7891 K(x,T(y * K(x,z),u)) = K(x,T(y,u)). [para(7823(a,1),7480(a,1,2,1))]. given #6873 (H,wt=15): 7921 T(x,(y * z) / y) = x * K(T(x,y),z). [para(7852(a,1),4705(a,2,2))]. given #6874 (H,wt=15): 7932 T(T(x,y),T(z,y)) = K(x,y) * T(x,z). [para(7927(a,1),7501(a,1,2)),flip(a)]. given #6875 (H,wt=15): 7933 T(x,y) \ T(T(x,z),T(y,z)) = K(x,z). [para(7927(a,1),7503(a,1,1))]. given #6876 (H,wt=15): 7938 K(x,y) * (z / K(x,y)) = T(z,K(x,y)). [para(7899(a,1),3923(a,1,2))]. given #6877 (H,wt=15): 7939 T(x,T(y \ z,y)) = T(x,z * (1 / y)). [hyper(228,a,5666,a,b,7928,a)]. given #6878 (H,wt=15): 7944 T(x,(y \ 1) \ K(z,y)) = T(x,T(y,z)). [hyper(228,a,4345,a,b,7931,a(flip)),flip(a)]. given #6879 (H,wt=15): 7988 K(x,K(K(x,y) * z,u)) = K(x,K(z,u)). [hyper(228,a,7693,a(flip),b,7718,a)]. given #6880 (H,wt=15): 7989 K(K(x,y) * z,K(x,u)) = K(x,K(u,z)). [hyper(228,a,7724,a(flip),b,7719,a)]. given #6881 (H,wt=15): 7990 K(K(x,y) * z,K(x,u)) = K(z,K(x,u)). [hyper(228,a,7693,a(flip),b,7719,a)]. given #6882 (H,wt=14): 8049 R(x,K(y,z) * u,K(u,K(y,w))) = x. [para(7990(a,1),5506(a,1,3))]. given #6883 (H,wt=15): 7991 T(K(x,y),T(z,K(u,x))) = K(x,T(y,z)). [hyper(228,a,7152,a(flip),b,7721,a(flip)),flip(a)]. given #6884 (H,wt=15): 7999 T(x,K(y,z / y)) = T(x,K(y,y * z)). [hyper(228,a,7993,a,b,7998,a)]. given #6885 (H,wt=15): 8001 K(x,T(y,z)) * K(y,x) = K(y,K(x,z)). [hyper(1764,a,7745,a)]. given #6886 (H,wt=15): 8003 K(x,K(T(y,z),u)) = K(y,K(u,T(x,z))). [hyper(7760,a,7753,a)]. given #6887 (H,wt=15): 8014 T(x \ K(x,y),K(z,x)) = x \ K(x,y). [para(5986(a,1),7791(a,1,2)),flip(a)]. given #6888 (H,wt=15): 8015 K(x,y) \ (z / K(y,x)) = T(z,K(y,x)). [hyper(71,a,5063,a,b,7792,a)]. given #6889 (H,wt=15): 8026 K(x,K(y \ z,y)) = K(x,K(z / y,z)). [para(4882(a,1),7808(a,1,2))]. given #6890 (H,wt=15): 8028 K(1 / T(T(x,y),y),z) = K(1 / x,z). [hyper(228,a,5859,a,b,7820,a(flip)),flip(a)]. given #6891 (H,wt=15): 8032 K(x,1 / T(T(y,z),z)) = K(x,1 / y). [hyper(228,a,5816,a,b,7827,a(flip)),flip(a)]. given #6892 (H,wt=15): 8036 K(x,T(y \ 1,z)) = K(x,z / (z * y)). [para(13(a,1),7882(a,1,2,1,1))]. given #6893 (H,wt=15): 8046 K(x,K(K(x,y) \ z,u)) = K(x,K(z,u)). [para(14(a,1),7988(a,1,2,1)),flip(a)]. given #6894 (H,wt=15): 8047 K(x,K(y,K(x,z) * u)) = K(x,K(y,u)). [hyper(7760,a,7989,a)]. given #6895 (H,wt=15): 8048 K(K(x,y) * z,K(y,u)) = K(z,K(y,u)). [para(5042(a,1),7990(a,1,1)),flip(a)]. given #6896 (H,wt=15): 8053 K(x,K(y / z,y)) = K(x,K(z,z \ y)). [hyper(7771,a,8026,a),flip(a)]. given #6897 (H,wt=13): 8058 K(x,K(y / z,y)) = K(x,K(z,y)). [hyper(228,a,7807,a(flip),b,8053,a)]. given #6898 (H,wt=13): 8059 K(x,K(y / z,y)) = K(y,K(x,z)). [hyper(228,a,7728,a(flip),b,8058,a)]. given #6899 (H,wt=13): 8060 K(x,K(y \ z,z)) = K(x,K(y,z)). [para(61(a,1),8058(a,1,2,1)),flip(a)]. given #6900 (H,wt=13): 8061 K(x,K(y,y / z)) = K(y,K(x,z)). [hyper(7771,a,8059,a)]. given #6901 (H,wt=13): 8062 K(x,K(y,x / z)) = K(x,K(y,z)). [hyper(7742,a,8059,a)]. given #6902 (H,wt=13): 8063 K(x,K(x / y,z)) = K(x,K(z,y)). [hyper(7715,a,8059,a)]. given #6903 (H,wt=13): 8064 K(x,K(y \ z,z)) = K(z,K(x,y)). [para(5497(a,1),8059(a,1,2))]. given #6904 (H,wt=13): 8065 K(x,K(y,z \ y)) = K(x,K(z,y)). [hyper(7771,a,8060,a)]. given #6905 (H,wt=13): 8066 K(x,K(y,x / z)) = K(x,K(z,y)). [hyper(228,a,7741,a,b,8062,a)]. given #6906 (H,wt=13): 8067 K(x,K(y,z \ x)) = K(x,K(y,z)). [para(61(a,1),8062(a,1,2,2)),flip(a)]. given #6907 (H,wt=13): 8068 K(x,K(x / y,z)) = K(x,K(y,z)). [hyper(228,a,7741,a,b,8063,a)]. given #6908 (H,wt=13): 8069 K(x,K(y,z \ x)) = K(x,K(z,y)). [para(61(a,1),8063(a,1,2,1)),flip(a)]. given #6909 (H,wt=13): 8072 K(x,K(y,z \ y)) = K(x,K(y,z)). [hyper(228,a,7741,a,b,8065,a)]. given #6910 (H,wt=13): 8073 K(x,K(y,z \ 1)) = K(x,K(z,y)). [hyper(228,a,7782,a,b,8065,a(flip)),flip(a)]. given #6911 (H,wt=13): 8075 K(x,K(y,z \ x)) = K(z,K(x,y)). [hyper(228,a,7728,a(flip),b,8067,a)]. given #6912 (H,wt=13): 8077 K(x,K(y,z \ 1)) = K(x,K(y,z)). [hyper(228,a,7782,a,b,8072,a(flip)),flip(a)]. given #6913 (H,wt=13): 8078 K(x,K(y \ 1,z)) = K(x,K(y,z)). [hyper(7771,a,8073,a)]. given #6914 (H,wt=13): 8079 K(x \ 1,K(y,z)) = K(y,K(x,z)). [hyper(7742,a,8073,a)]. given #6915 (H,wt=13): 8080 K(x,K(y,z \ 1)) = K(z,K(x,y)). [hyper(228,a,7723,a,b,8073,a)]. given #6916 (H,wt=13): 8081 K(x,K(y,1 / z)) = K(x,K(z,y)). [para(3240(a,2),8073(a,1,2))]. given #6917 (H,wt=13): 8085 K(x,K(y \ 1,z)) = K(z,K(x,y)). [hyper(7760,a,8077,a)]. given #6918 (H,wt=13): 8086 K(x \ 1,K(y,z)) = K(y,K(z,x)). [hyper(7742,a,8077,a)]. given #6919 (H,wt=13): 8087 K(x,K(y,1 / z)) = K(x,K(y,z)). [para(64(a,1),8077(a,1,2,2)),flip(a)]. given #6920 (H,wt=13): 8095 K(x \ 1,K(y,z)) = K(x,K(y,z)). [hyper(228,a,7723,a,b,8079,a)]. given #6921 (H,wt=13): 8097 K(1 / x,K(y,z)) = K(y,K(z,x)). [para(64(a,1),8080(a,1,2,2)),flip(a)]. given #6922 (H,wt=13): 8098 K(x,K(y,1 / z)) = K(z,K(x,y)). [para(3240(a,2),8080(a,1,2))]. given #6923 (H,wt=15): 8056 K(K(x,y) \ z,K(x,u)) = K(x,K(z,u)). [hyper(7725,a,8046,a)]. given #6924 (H,wt=15): 8076 T(x,K(y,z \ x)) = x * K(x,K(z,y)). [para(8069(a,1),4705(a,2,2))]. given #6925 (H,wt=13): 8107 T(x,K(y,z \ x)) = T(x,K(y,z)). [hyper(228,a,7757,a(flip),b,8076,a)]. given #6926 (H,wt=13): 8108 T(x,K(y,x / z)) = T(x,K(y,z)). [hyper(6213,a,8107,a)]. given #6927 (H,wt=15): 8082 K(x,K(y,z / (u * z))) = K(x,K(u,y)). [para(5413(a,2),8073(a,1,2))]. given #6928 (H,wt=15): 8083 K(x,K(y \ z,u)) = K(x,K(u,z \ y)). [para(5558(a,1),8073(a,1,2)),flip(a)]. given #6929 (H,wt=15): 8088 K(x,K(y,z / u)) = K(x,K(y,u / z)). [para(5410(a,1),8077(a,1,2))]. given #6930 (H,wt=15): 8089 K(x,K(y,z / (u * z))) = K(x,K(y,u)). [para(5413(a,2),8077(a,1,2))]. given #6931 (H,wt=15): 8091 T(x,K(y,z \ 1)) = K(y,K(x,z)) * x. [para(8077(a,1),7730(a,1,1)),flip(a)]. given #6932 (H,wt=13): 8115 T(x,K(y,z \ 1)) = T(x,K(z,y)). [hyper(228,a,7746,a(flip),b,8091,a)]. given #6933 (H,wt=13): 8116 T(x,K(y,z \ 1)) = T(x,K(y,z)). [hyper(228,a,7730,a(flip),b,8091,a)]. given #6934 (H,wt=13): 8117 T(x,K(y \ 1,z)) = T(x,K(y,z)). [hyper(7801,a,8115,a)]. given #6935 (H,wt=13): 8118 T(x,K(y \ 1,z)) = T(x,K(z,y)). [para(3236(a,1),8115(a,1,2)),flip(a)]. given #6936 (H,wt=13): 8121 T(x,K(y,1 / z)) = T(x,K(y,z)). [para(64(a,1),8116(a,1,2,2)),flip(a)]. given #6937 (H,wt=15): 8096 T(1 / x,K(y,z)) = K(y,K(x,z)) / x. [hyper(72,a,8079,a(flip),b,4959,a),flip(a)]. given #6938 (H,wt=15): 8119 T(x,K(y \ z,u)) = T(x,K(u,z \ y)). [para(5558(a,1),8115(a,1,2)),flip(a)]. given #6939 (H,wt=13): 8126 T(x,K(y \ z,z)) = T(x,K(z,y)). [hyper(228,a,7997,a(flip),b,8119,a)]. given #6940 (H,wt=13): 8127 T(x,K(y,y / z)) = T(x,K(z,y)). [para(64(a,1),8126(a,1,2,1)),flip(a)]. given #6941 (H,wt=15): 8120 T(T(x,y),K(y,z)) = T(x,T(y,z \ 1)). [hyper(7672,a,8116,a),flip(a)]. given #6942 (H,wt=13): 8128 T(x,T(y,z \ 1)) = T(x,T(y,z)). [hyper(7672,a,8120,a),flip(a)]. given #6943 (H,wt=15): 8125 1 / T(x,K(y,z)) = T(1 / x,K(y,z)). [hyper(228,a,7759,a(flip),b,8096,a),flip(a)]. given #6944 (H,wt=15): 8131 T(x,T(y,z \ 1)) = x * K(x,T(y,z)). [hyper(228,a,4705,a(flip),b,8128,a)]. given #6945 (H,wt=13): 8135 T(K(x,y),z \ 1) = K(x,T(y,z)). [hyper(7319,a,8131,a)]. given #6946 (H,wt=13): 8136 K(x,T(y,z \ 1)) = K(x,T(y,z)). [hyper(4771,a,8131,a)]. given #6947 (H,wt=13): 8142 K(x,T(y,z \ x)) = K(x,T(y,z)). [hyper(228,a,7595,a(flip),b,8136,a(flip)),flip(a)]. given #6948 (H,wt=13): 8144 K(x,T(y,1 / z)) = K(x,T(y,z)). [para(64(a,1),8136(a,1,2,2)),flip(a)]. given #6949 (H,wt=15): 8133 T(x,T(y,(z * u) \ z)) = T(x,T(y,u)). [para(5679(a,2),8128(a,1,2))]. given #6950 (H,wt=15): 8143 K(x,T(y * z,z)) = K(x,T(y * z,y)). [hyper(228,a,7154,a(flip),b,8136,a(flip)),flip(a)]. given #6951 (H,wt=15): 8145 K(x,T(y,z \ u)) = K(x,T(y,u \ z)). [para(5675(a,1),8136(a,1,2))]. given #6952 (H,wt=15): 8146 K(x * y,T(z,y)) = K(x * y,T(z,x)). [para(13(a,1),8142(a,1,2,2))]. given #6953 (H,wt=15): 8147 T(x * y,T(z,y)) = T(x * y,T(z,x)). [hyper(7561,a,8133,a),flip(a)]. given #6954 (H,wt=15): 8148 K(x \ y,T(z,y \ x)) = K(x \ y,z). [hyper(4888,a,8145,a),flip(a)]. given #6955 (H,wt=16): 7700 x * K(y,K(z,x)) != u | T(x,K(z,y)) = u. [para(7692(a,1),4708(a,1,2))]. given #6956 (H,wt=16): 7701 K(x,K(y,z)) * z != u | T(z,K(y,x)) = u. [para(7692(a,1),4713(a,1,1))]. given #6957 (H,wt=16): 7711 K(x,K(y,z)) \ z != u | T(z,K(x,y)) = u. [para(7693(a,1),4684(a,1,1))]. given #6958 (H,wt=16): 7731 K(x,K(y,z)) * y != u | T(y,K(x,z)) = u. [para(7723(a,1),4713(a,1,1))]. given #6959 (H,wt=16): 7736 K(x,K(y,L(z,u,K(x,w)))) = K(y,K(x,z)). [para(7437(a,1),7723(a,1,2)),flip(a)]. given #6960 (H,wt=16): 7747 K(x,K(y,z)) * y != u | T(y,K(z,x)) = u. [para(7728(a,1),4713(a,1,1))]. given #6961 (H,wt=16): 7748 K(x,K(y,z)) * z != u | T(z,K(x,y)) = u. [para(7728(a,2),4713(a,1,1))]. given #6962 (H,wt=16): 7773 x * K(x,K(y,z)) != u | T(x,K(z,y)) = u. [para(7741(a,1),4708(a,1,2))]. given #6963 (H,wt=16): 7798 T(T(x,y),K(z,y)) != u | T(x,T(y,z)) = u. [para(7785(a,1),7672(a,1))]. given #6964 (H,wt=16): 7805 1 != x | K(y,K(z,u)) * K(y,K(z,u)) = x. [para(7761(a,1),5991(a,1))]. given #6965 (H,wt=16): 7834 x * K(y,z) != u * x | K(y,T(z,x)) = u. [para(7819(a,1),174(a,1,2)),flip(b)]. given #6966 (H,wt=16): 7841 K(L(x,y,x),z) = K(x,T(T(z,u),u * x)). [hyper(228,a,7597,a(flip),b,7828,a(flip))]. given #6967 (H,wt=16): 7845 K((x * y) / x,z) != u | K(y,T(z,x)) = u. [para(7828(a,1),7335(a,1))]. given #6968 (H,wt=16): 7865 K(x,T(y,L(z,u,x))) = K(x * K(z,x),y). [para(7122(a,1),7829(a,1,1))]. given #6969 (H,wt=14): 8161 K(x,T(y,L(z,u,x))) = K(x,T(y,z)). [hyper(228,a,7858,a(flip),b,7865,a)]. given #6970 (H,wt=16): 7884 K(x,T(y,z)) * z != z * u | K(x,y) = u. [para(7823(a,2),19(a,1))]. given #6971 (H,wt=16): 7915 K(x,y * K(z,y)) != u | K(T(x,z),y) = u. [para(7844(a,2),7329(a,1))]. given #6972 (H,wt=16): 7922 K(x,(y * z) / y) != u | K(x,T(z,y)) = u. [para(7852(a,2),7637(a,1))]. given #6973 (H,wt=16): 7949 K(x,y / (y / z)) != u | K(T(x,y),z) = u. [para(7936(a,2),7329(a,1))]. given #6974 (H,wt=16): 7956 K(x,K(y,z * y)) != u | K(x,K(z,y)) = u. [para(7778(a,2),7760(a,1))]. given #6975 (H,wt=16): 7960 K(x,T(y \ z,y)) != u | K(x,z / y) = u. [para(115(a,1),7908(a,1,2,1))]. given #6976 (H,wt=16): 7963 K(x \ y,T(z,y)) != u | K(y / x,z) = u. [para(7170(a,1),7908(a,1))]. given #6977 (H,wt=16): 7964 K(x \ y,T(z,x)) != u | K(y / x,z) = u. [para(7216(a,1),7908(a,1))]. given #6978 (H,wt=16): 7965 K(x,T(y,K(z,z \ x))) != u | K(x,y) = u. [para(7227(a,1),7908(a,1))]. given #6979 (H,wt=16): 7970 T(K(x \ 1,x),y) != z | K(x \ 1,x) = z. [para(2594(a,1),7961(a,1,1))]. given #6980 (H,wt=16): 7972 T(K(x \ y,z),y) != u | K(y / x,z) = u. [para(7170(a,1),7961(a,1,1))]. given #6981 (H,wt=16): 7973 T(K(x,y),T(T(x,z),u)) != w | K(x,y) = w. [para(7171(a,1),7961(a,1,1))]. given #6982 (H,wt=16): 7976 K(T(x,y),y \ z) != u | K(x,z / y) = u. [para(115(a,1),7962(a,1,2))]. given #6983 (H,wt=16): 7977 K(T(x,y),z \ y) != u | K(x,y / z) = u. [para(7115(a,1),7962(a,1))]. given #6984 (H,wt=16): 7996 T(x,K(y,y * z)) != u | T(x,K(y,z)) = u. [para(7992(a,2),7801(a,1))]. given #6985 (H,wt=16): 8042 T(x,(y * z) / y) != u | T(x,T(z,y)) = u. [para(7921(a,2),7229(a,1))]. given #6986 (H,wt=16): 8070 K(x,K(x / y,z)) != u | K(x,K(y,z)) = u. [para(8063(a,2),7771(a,1))]. given #6987 (H,wt=16): 8071 K(x,K(y \ z,z)) != u | K(x,K(y,z)) = u. [para(8064(a,2),7760(a,1))]. given #6988 (H,wt=16): 8074 K(x,K(y,z)) != u | K(x,K(x / y,z)) = u. [para(8066(a,1),7771(a,1))]. given #6989 (H,wt=16): 8084 K(x,K(y,z \ 1)) != u | K(x,K(y,z)) = u. [para(8073(a,2),7771(a,1))]. given #6990 (H,wt=16): 8099 K(x,K(y,1 / z)) != u | K(z,K(x,y)) = u. [para(8081(a,2),7725(a,1))]. given #6991 (H,wt=16): 8100 K(x,K(y,1 / z)) != u | K(x,K(y,z)) = u. [para(8081(a,2),7771(a,1))]. given #6992 (H,wt=16): 8105 K(1 / x,K(y,z)) != u | K(y,K(x,z)) = u. [para(8097(a,2),7771(a,1))]. given #6993 (H,wt=16): 8123 T(x,K(y \ 1,z)) != u | T(x,K(z,y)) = u. [para(8117(a,2),7801(a,1))]. given #6994 (H,wt=16): 8124 T(x,K(y,z)) != u | T(x,K(y,z \ 1)) = u. [para(8118(a,1),7801(a,1))]. given #6995 (H,wt=16): 8130 T(x,T(y,z \ 1)) != u | T(x,T(y,z)) = u. [para(8120(a,1),7672(a,1))]. given #6996 (H,wt=16): 8150 K(x,T(y,z \ y)) != u | K(x,T(y,z)) = u. [para(8145(a,1),7147(a,1))]. given #6997 (H,wt=16): 8151 K(x,T(y,z \ x)) != u | K(x,T(y,z)) = u. [para(8145(a,1),7638(a,1))]. given #6998 (H,wt=16): 8159 K(x * K(y,x),z) != u | K(x,T(z,y)) = u. [para(4673(a,1),7845(a,1,1))]. given #6999 (H,wt=16): 8164 K(T(x,y \ z),y) != u | K(T(x,z),y) = u. [para(7856(a,2),7949(a,1))]. given #7000 (H,wt=16): 8171 K(T(x \ y,x),z) != u | K(y / x,z) = u. [para(7202(a,2),7964(a,1))]. given #7001 (H,wt=16): 8173 T((x \ 1) * x,y) != z | K(x \ 1,x) = z. [para(189(a,1),7970(a,1,1))]. given #7002 (H,wt=16): 8176 K(x,T(y \ z,z)) != u | K(x,z / y) = u. [para(7202(a,1),7977(a,1))]. given #7003 (H,wt=16): 8177 T(x,K(y,z / y)) != u | T(x,K(y,z)) = u. [para(7999(a,2),7996(a,1))]. given #7004 (H,wt=16): 8178 T(x,y * K(z,y)) != u | T(x,T(y,z)) = u. [para(4673(a,1),8042(a,1,2))]. given #7005 (H,wt=16): 8179 K(x / y,K(x,z)) != u | K(x,K(y,z)) = u. [para(7723(a,1),8070(a,1))]. given #7006 (H,wt=16): 8183 K(x,T(y,z \ 1)) != u | K(x,T(y,z)) = u. [para(7150(a,2),8150(a,1))]. given #7007 (H,wt=16): 8186 T(x,K(y,y \ z)) != u | T(x,K(y,z)) = u. [para(4874(a,1),8177(a,1,2))]. given #7008 (H,wt=16): 8189 T(x,K(y,z)) != u | T(x,K(y,y * z)) = u. [para(13(a,1),8186(a,1,2,2))]. given #7009 (H,wt=16): 8190 T(x,K(y \ z,z)) != u | T(x,K(z,y)) = u. [para(8119(a,2),8186(a,1))]. given #7010 (H,wt=17): 7248 K(x,y / R(x,z,u)) = K(x,R(x,z,u) \ y). [para(115(a,1),7221(a,1,2)),flip(a)]. given #7011 (H,wt=17): 7280 x * (y * K(z,T(u,y))) = x * (K(z,u) * y). [hyper(21,a,7174,a)]. given #7012 (H,wt=17): 7281 K(x,T((y / z) \ 1,z)) = K(x,(z \ y) \ 1). [hyper(17,a,5964,a(flip),b,7174,a)]. given #7013 (H,wt=17): 7290 (x \ y) * K(z,T(x,y)) = K(z,x) * (x \ y). [para(7102(a,1),7174(a,1,2))]. given #7014 (H,wt=15): 8191 (x \ y) * K(z,T(x,y)) = T(x,z) \ y. [hyper(228,a,5004,a(flip),b,7290,a)]. given #7015 (H,wt=16): 8193 K(x,T(y,x) \ z) != u | K(x,y \ z) = u. [para(8191(a,1),7129(a,1,2))]. given #7016 (H,wt=17): 7291 x * K(y,K(z,T(u,x))) = K(y,K(z,u)) * x. [para(7152(a,2),7174(a,1,2,2))]. given #7017 (H,wt=17): 7314 K(x,K(y,K(z,y) / u)) = K(x,K(y,1 / u)). [para(7303(a,1),6076(a,1,2)),flip(a)]. given #7018 (H,wt=17): 7324 K(x,y \ z) * T(x,z) = T(T(x,z),z / y). [para(7203(a,1),4712(a,2,1)),flip(a)]. given #7019 (H,wt=17): 7332 K(x / y,L(y,z,u)) = K(y \ x,L(y,z,u)). [para(130(a,1),7216(a,1,2))]. given #7020 (H,wt=17): 7333 K(x \ y,z) * (y / x) = T(y / x,T(z,x)). [para(7216(a,1),4712(a,2,1)),flip(a)]. given #7021 (H,wt=17): 7348 T(x,T(y,z) \ T(x,z)) = T(x,T(y \ x,z)). [hyper(6691,a,7224,a)]. given #7022 (H,wt=15): 8198 T(x,T(y,z) \ x) = T(x,T(y \ x,z)). [hyper(228,a,7073,a(flip),b,7348,a(flip)),flip(a)]. given #7023 (H,wt=17): 7396 K(L(x,y,z) * u,x) = K(u * L(x,y,z),x). [para(93(a,1),7385(a,1,1)),flip(a)]. given #7024 (H,wt=17): 7397 K((L(x,y,z) \ u) * L(x,y,z),x) = K(u,x). [para(239(a,1),7385(a,1,1))]. given #7025 (H,wt=17): 7400 K(x,R(x,y,z) * u) = K(x,u * R(x,y,z)). [para(4671(a,1),7387(a,1,2))]. given #7026 (H,wt=17): 7403 K(R(x,y,z) * u,x) = K(u * R(x,y,z),x). [para(4671(a,1),7389(a,1,1))]. given #7027 (H,wt=17): 7415 T(x,y) \ L(T(x,y),z,x) = x \ L(x,z,x). [hyper(71,a,7025,a(flip),b,4676,a)]. given #7028 (H,wt=17): 7446 (x / L(y,z,y)) * y = y * (L(y,z,y) \ x). [para(7082(a,1),113(a,1,2)),flip(a)]. given #7029 (H,wt=17): 7447 (x / R(y,z,y)) * y = y * (R(y,z,y) \ x). [para(7088(a,1),113(a,1,2)),flip(a)]. given #7030 (H,wt=17): 7451 T(x,T(y,x) \ (x \ z)) = T(x,(y * x) \ z). [para(113(a,1),7095(a,1,2,1)),flip(a)]. given #7031 (H,wt=15): 8202 T(x,(y * x) \ z) = T(x,y \ (x \ z)). [hyper(228,a,7297,a(flip),b,7451,a(flip))]. given #7032 (H,wt=17): 7474 K((x / (y \ 1)) \ z,x) = K(y \ (x \ z),x). [hyper(228,a,6577,a,b,7118,a(flip)),flip(a)]. given #7033 (H,wt=17): 7481 K(x,T(T(x,y) \ z,u)) = K(x,T(x \ z,u)). [para(5004(a,1),7136(a,1,2,1))]. given #7034 (H,wt=17): 7483 T(x * y,x) / T(x,y) = x \ T(x * y,x). [para(13(a,1),7144(a,1,2,2))]. given #7035 (H,wt=17): 7484 K(x,T(y,(z \ u) \ y)) = K(x,T(y,u \ z)). [para(5675(a,1),7150(a,1,2)),flip(a)]. given #7036 (H,wt=17): 7498 K(x,T(y / (x * z),z)) = K(x,(x * z) \ y). [para(115(a,1),7494(a,1,2)),flip(a)]. given #7037 (H,wt=17): 7499 (x * y) * K(x,T(z,y)) = K(x,z) * (x * y). [para(7494(a,1),7174(a,1,2))]. given #7038 (H,wt=17): 7506 K(x * (y / T(z,u)),u) = K(x * (y / z),u). [para(5205(a,1),7263(a,1,1,2))]. given #7039 (H,wt=17): 7507 K(x * (y \ T(z,u)),u) = K(x * (y \ z),u). [para(6160(a,1),7263(a,1,1,2)),flip(a)]. given #7040 (H,wt=17): 7516 K(x,(y / z) \ 1) * y = y * K(x,y \ z). [para(5410(a,2),7284(a,1,1))]. given #7041 (H,wt=15): 8211 K(x,T((y / z) \ 1,y)) = K(x,y \ z). [hyper(7282,a,7516,a)]. given #7042 (H,wt=15): 8214 K(x,T(y \ 1,z)) = K(x,z \ (y \ z)). [para(61(a,1),8211(a,1,2,1,1))]. given #7043 (H,wt=15): 8215 K(x,y / (y * z)) = K(x,y \ (z \ y)). [hyper(228,a,8036,a(flip),b,8214,a(flip)),flip(a)]. given #7044 (H,wt=17): 7529 K(T(x,y) * z,T(x,u)) = K(x * z,T(x,u)). [para(4681(a,1),7342(a,1,1)),flip(a)]. given #7045 (H,wt=17): 7530 K(x,y) / T(T(x,y),z) = 1 / T(x,T(z,y)). [para(7350(a,1),4898(a,1,2)),flip(a)]. given #7046 (H,wt=17): 7534 x * (y * ((x \ 1) / y)) = K(y,x \ (y \ 1)). [hyper(228,a,6405,a,b,7408,a(flip)),flip(a)]. given #7047 (H,wt=17): 7540 T(x,y) * (x \ R(x,z,x)) = R(T(x,y),z,x). [hyper(5770,a,7416,a)]. given #7048 (H,wt=17): 7541 T(x,y) \ R(T(x,y),z,x) = x \ R(x,z,x). [hyper(71,a,7416,a(flip),b,4989,a)]. given #7049 (H,wt=17): 7544 (T(x,y) * (x \ z)) * x = T(x,y) * T(z,x). [para(4676(a,2),7418(a,1,1))]. given #7050 (H,wt=17): 7563 T(x * y,T(z,y \ 1)) = T(x * y,T(z,x)). [para(5679(a,1),7560(a,1,2))]. given #7051 (H,wt=17): 7580 (T(x,y) / y) * T(y,z) = T(x * K(y,z),y). [hyper(228,a,5216,a,b,7545,a),flip(a)]. given #7052 (H,wt=17): 7582 K(x,T(x * K(y,z),y)) = K(x,x * K(y,z)). [para(7545(a,2),7301(a,1,2))]. given #7053 (H,wt=17): 7596 (x * y) * K(y,T(z,x)) = K(y,z) * (x * y). [para(7592(a,1),113(a,1,2))]. given #7054 (H,wt=15): 8222 K(x,y) * (z * x) = z * T(x,T(y,z)). [hyper(5201,a,7596,a),flip(a)]. given #7055 (H,wt=15): 8223 T(x,y) * T(z,x) = z * T(x,T(y,z)). [hyper(5724,a,8222,a)]. given #7056 (H,wt=15): 8224 K(x,y) \ (z * y) = z * T(y,T(x,z)). [hyper(5058,a,8222,a)]. given #7057 (H,wt=15): 8225 K(x,T(y,z)) * (z * x) = z * T(x,y). [para(7927(a,1),8222(a,2,2))]. given #7058 (H,wt=15): 8227 T(x,T(y,z)) * T(z,x) = z * T(x,y). [para(7927(a,1),8223(a,2,2))]. given #7059 (H,wt=15): 8229 K(x,T(y,z)) \ (z * y) = z * T(y,x). [hyper(228,a,7230,a,b,8225,a(flip)),flip(a)]. given #7060 (H,wt=15): 8230 (x * T(y,z)) / T(x,y) = T(y,T(z,x)). [hyper(72,a,8225,a(flip),b,4979,a(flip))]. given #7061 (H,wt=17): 7604 T(K(x,y) * T(y,z),x) = y * K(T(y,x),z). [hyper(228,a,7225,a,b,7576,a)]. given #7062 (H,wt=17): 7607 K(x,T(y \ x,T(z,y))) = K(x,T(y \ x,z)). [para(7589(a,1),7555(a,1,2))]. given #7063 (H,wt=17): 7608 T((x \ y) \ 1,T(x,y)) = T((x \ y) \ 1,x). [hyper(228,a,7092,a(flip),b,7606,a(flip)),flip(a)]. given #7064 (H,wt=17): 7649 K(x,T((y \ z) \ z,u)) = K(x,T(T(y,z),u)). [para(7440(a,1),7445(a,1,2,1))]. given #7065 (H,wt=17): 7667 L(x,T(y,K(x,z)),x) = L(x,T(y,T(x,z)),x). [para(7664(a,1),4124(a,1,2)),flip(a)]. given #7066 (H,wt=17): 7678 L(x,y,x) * (x \ z) = (z / x) * L(x,y,x). [para(4717(a,1),7024(a,1,1)),flip(a)]. given #7067 (H,wt=17): 7681 R(x * K(y,x),z,x) = K(y,x) * R(x,z,x). [hyper(228,a,2507,a(flip),b,7103,a)]. given #7068 (H,wt=17): 7684 K(x,T(y,K(z,z \ x)) \ x) = K(x,y \ x). [hyper(228,a,7227,a(flip),b,7683,a)]. given #7069 (H,wt=17): 7685 K(x,T(y \ 1,z) \ x) = K(x,T(y * x,z)). [hyper(228,a,6563,a(flip),b,7683,a)]. given #7070 (H,wt=17): 7689 K(R(T(x,K(y,z)),u,w),z) = K(R(x,u,w),z). [para(2499(a,1),7215(a,2,2))]. given #7071 (H,wt=17): 7695 (K(x,y) * z) * K(y,K(x,z)) = z * K(x,y). [para(7692(a,1),93(a,1,2))]. given #7072 (H,wt=17): 7732 (x * y) * K(z,K(y,u)) = x * T(y,K(z,u)). [para(7723(a,1),5199(a,1,2))]. given #7073 (H,wt=15): 8243 T(x,y * T(z,K(x,u))) = T(x,y * z). [para(7732(a,1),7057(a,1,2))]. given #7074 (H,wt=17): 7749 x * (K(y,K(z,x)) * u) = T(x,K(y,z)) * u. [para(7728(a,2),4675(a,1,2,1))]. given #7075 (H,wt=17): 7750 (x / y) \ T(x,K(z,u)) = y * K(z,K(u,x)). [para(7728(a,2),6262(a,2,2))]. given #7076 (H,wt=17): 7764 K(x,K(y,z)) * (x \ u) = T(x,K(y,z)) \ u. [para(7740(a,1),5004(a,1,1))]. given #7077 (H,wt=17): 7765 (x / y) * K(y,K(z,u)) = x / T(y,K(z,u)). [para(7740(a,1),5205(a,1,2))]. given #7078 (H,wt=17): 7772 K(x,K(y / (z \ 1),u)) = K(x,K(u,y * z)). [hyper(228,a,6075,a(flip),b,7741,a)]. given #7079 (H,wt=17): 7774 L(K(x,K(y,z)),u,w) = K(x,L(K(z,y),u,w)). [para(7741(a,1),6242(a,1,1))]. given #7080 (H,wt=17): 7811 T(x,T(y,z)) * K(y,z) = K(y,z) * T(x,y). [para(7786(a,1),5981(a,1,1))]. given #7081 (H,wt=17): 7839 K(R(T(x,y),z,u),T(w,y)) = K(R(x,z,u),w). [hyper(228,a,7215,a,b,7828,a(flip)),flip(a)]. given #7082 (H,wt=17): 7840 K(L(T(x,y),z,u),T(w,y)) = K(L(x,z,u),w). [hyper(228,a,7214,a,b,7828,a(flip)),flip(a)]. given #7083 (H,wt=17): 7849 K(T(x,y),L(T(z,y),u,w)) = K(x,L(z,u,w)). [para(40(a,2),7829(a,1,2))]. given #7084 (H,wt=17): 7850 K(T(x,y),R(T(z,y),u,w)) = K(x,R(z,u,w)). [para(42(a,2),7829(a,1,2))]. given #7085 (H,wt=17): 7855 K(x \ y,T(z,(y * x) / y)) = K(y / x,z). [para(3780(a,1),7829(a,1,1))]. given #7086 (H,wt=17): 7862 T(T(x,y),T(z,y)) \ x = K(z,x) * K(y,x). [para(7829(a,1),5162(a,1,1)),flip(a)]. given #7087 (H,wt=17): 7863 T(x * K(T(y,z),x),z) = K(y,x) * T(x,z). [para(7829(a,1),5403(a,1,1)),flip(a)]. given #7088 (H,wt=17): 7871 K(x \ y,T(T(z,x),u)) = K(y / x,T(z,u)). [hyper(228,a,7173,a,b,7815,a(flip)),flip(a)]. given #7089 (H,wt=17): 7872 K((x * y) \ z,T(x,y)) = K(z / (x * y),x). [hyper(228,a,6219,a(flip),b,7815,a(flip)),flip(a)]. given #7090 (H,wt=17): 7878 K(x \ (y * z),T(y,z)) = K((y * z) / x,y). [hyper(228,a,6219,a(flip),b,7818,a(flip)),flip(a)]. given #7091 (H,wt=17): 7881 K(x,T((y \ z) \ 1,y)) = K(x,(z / y) \ 1). [hyper(18,a,5964,a,b,7823,a)]. given #7092 (H,wt=17): 7889 T(K(x,y),z) * (z / y) = (z / y) * K(x,y). [para(6216(a,1),7823(a,1,1))]. given #7093 (H,wt=15): 8264 T(K(x,y),z) * (z / y) = z / T(y,x). [hyper(228,a,5205,a(flip),b,7889,a)]. given #7094 (H,wt=17): 7894 K(x \ (y \ z),T(y,z)) = K((y \ z) / x,y). [hyper(7147,a,7831,a)]. given #7095 (H,wt=17): 7906 K(x \ T(x * y,y),z) = K(y,T(z,x * y)). [para(3785(a,1),7838(a,1,1))]. given #7096 (H,wt=17): 7916 K(T(x / (x / y),z),u) = K(T(y,z),T(u,x)). [para(7614(a,1),7846(a,1,1))]. given #7097 (H,wt=17): 7930 T(x,T(T(y \ z,u),y)) = T(x,T(z / y,u)). [para(185(a,1),7927(a,1,2,1))]. given #7098 (H,wt=17): 7934 K(x,T(y \ (z * x),z)) = K(x,(z * x) / y). [hyper(7653,a,7880,a)]. given #7099 (H,wt=17): 7935 K(x,T(y \ (x * z),z)) = K(x,(x * z) / y). [hyper(228,a,7494,a(flip),b,7880,a(flip)),flip(a)]. given #7100 (H,wt=17): 7945 T(x,K(y,1 / z) / z) = T(x,T(1 / z,y)). [para(2188(a,1),7931(a,1,2))]. given #7101 (H,wt=17): 7966 K(x,T(y,R(T(x,z),u,w))) != v5 | K(x,y) = v5. [para(7223(a,1),7908(a,1))]. given #7102 (H,wt=17): 7995 T(T(x,K(y,z)),z * y) = T(x,T(z * y,z)). [para(7992(a,1),7797(a,1,1))]. given #7103 (H,wt=17): 8004 K(x,K(y,T(z,u / x))) = K(z,K(x,T(y,u))). [para(7591(a,1),7753(a,2,2))]. given #7104 (H,wt=17): 8009 T(x,K(y,z)) * K(y,x) = x * K(y,T(x,z)). [para(7756(a,1),4675(a,1,2)),flip(a)]. given #7105 (H,wt=17): 8012 T(x * T(y,z),K(y,z)) = K(y,z) * (x * y). [para(5199(a,1),7790(a,1,1))]. given #7106 (H,wt=17): 8025 T(T(x,K(y,z)),x * y) = T(x,T(x * y,z)). [para(8023(a,1),7797(a,1,1))]. given #7107 (H,wt=17): 8027 K(x,K(y,z \ K(z,x))) = K(x,K(y,z \ 1)). [para(7817(a,1),4871(a,1,2))]. given #7108 (H,wt=17): 8045 T(1 / x,y * (1 / x)) = T(1 / x,x \ y). [hyper(228,a,7666,a(flip),b,7939,a(flip))]. given #7109 (H,wt=17): 8050 R(x,K(y,z),T(u,K(y,w))) = R(x,K(y,z),u). [hyper(6802,a,8049,a)]. given #7110 (H,wt=17): 8051 K(x,K(y \ z,T(y,u))) = K(y,K(z,T(x,u))). [hyper(228,a,7868,a(flip),b,8003,a(flip))]. given #7111 (H,wt=17): 8052 T(x \ K(x,y),T(x,z)) = T(x \ K(x,y),x). [para(8014(a,1),7797(a,1,1)),flip(a)]. given #7112 (H,wt=17): 8054 T(x,1 / T(T(y,z),z)) = x / K(1 / y,x). [para(8028(a,1),4658(a,2,2))]. given #7113 (H,wt=15): 8281 T(x,1 / T(T(y,z),z)) = T(x,1 / y). [hyper(228,a,4658,a,b,8054,a)]. given #7114 (H,wt=17): 8090 K(x,K(y,(z \ 1) / u)) = K(x,K(y,u * z)). [para(5538(a,1),8077(a,1,2)),flip(a)]. given #7115 (H,wt=17): 8092 K(x,y) * K(x,K(y,z)) = T(K(x,y),z \ 1). [para(8077(a,1),7705(a,1,2))]. given #7116 (H,wt=17): 8103 K(x,K(y,(1 / z) / u)) = K(x,K(y,u * z)). [para(308(a,2),8087(a,1,2,2))]. given #7117 (H,wt=17): 8138 (x \ 1) * K(y,T(z,x)) = K(y,z) * (x \ 1). [para(8135(a,1),113(a,1,2))]. given #7118 (H,wt=17): 8140 (1 / x) * K(y,T(z,x)) = K(y,z) * (1 / x). [para(8135(a,1),3106(a,1,2))]. given #7119 (H,wt=17): 8204 K(((x \ 1) \ y) \ z,y) = K(x \ (y \ z),y). [hyper(6484,a,7474,a)]. given #7120 (H,wt=17): 8205 T(x * y,x) / T(x,y) = y * K(x * y,x). [hyper(228,a,5292,a(flip),b,7483,a)]. given #7121 (H,wt=17): 8206 K(x,T(y,z \ (u * y))) = K(x,T(y,z \ u)). [para(6309(a,1),7484(a,1,2))]. given #7122 (H,wt=17): 8207 K(x,T(y / (x * z),z)) = K(x,z \ (x \ y)). [hyper(228,a,7015,a(flip),b,7498,a)]. given #7123 (H,wt=17): 8247 K(x,K(y / (z \ 1),u)) = K(x,K(y * z,u)). [hyper(228,a,7741,a,b,7772,a)]. given #7124 (H,wt=17): 8258 K(x \ y,T(z,x * K(y,x))) = K(y / x,z). [para(4673(a,1),7855(a,1,2,2))]. given #7125 (H,wt=17): 8259 (K(x,y) * T(x,z)) \ x = K(z,x) * K(y,x). [para(7932(a,1),7862(a,1,1))]. given #7126 (H,wt=17): 8261 K(x / y,T(z,x \ y)) = K(y \ x,T(z,y)). [hyper(228,a,8148,a(flip),b,7871,a(flip))]. given #7127 (H,wt=15): 8290 K(x / y,T(z,x \ y)) = K(x / y,z). [hyper(228,a,7837,a(flip),b,8261,a)]. given #7128 (H,wt=17): 8265 K(x,y) * (K(z,y) / y) = K(z,y) / T(y,x). [para(5985(a,1),8264(a,1,1))]. given #7129 (H,wt=17): 8268 K(x,T(y \ (x * z),z)) = K(x,(y / z) \ x). [hyper(228,a,6941,a(flip),b,7935,a)]. given #7130 (H,wt=17): 8272 T(x,K(y,z)) * K(y,x) = x * T(K(y,x),z). [hyper(228,a,7172,a(flip),b,8009,a)]. given #7131 (H,wt=15): 8293 T(x * T(K(y,x),z),y) = T(x,K(y,z)). [para(8272(a,1),7196(a,1,1))]. given #7132 (H,wt=17): 8273 T(x * T(y,z),K(y,z)) = T(y,z) * T(x,y). [hyper(228,a,4979,a(flip),b,8012,a)]. given #7133 (H,wt=17): 8275 T(T(x,K(y,z)),y * x) = T(x,T(x * y,z)). [hyper(5428,a,8025,a)]. given #7134 (H,wt=17): 8277 T(1 / x,y * (x \ 1)) = T(1 / x,x \ y). [hyper(5826,a,8045,a)]. given #7135 (H,wt=17): 8282 T(x,1 / T(y \ z,y)) = T(x,1 / (z / y)). [para(115(a,1),8281(a,1,2,2,1))]. given #7136 (H,wt=17): 8283 K(x,K(y,(z \ 1) / (u / z))) = K(x,K(y,u)). [para(16(a,1),8090(a,2,2,2))]. given #7137 (H,wt=17): 8285 K((x \ 1) \ (y \ z),y) = K((x \ y) \ z,y). [hyper(228,a,5893,a(flip),b,8204,a(flip))]. given #7138 (H,wt=18): 7019 (x * y) * K(x,z) != u | x * (y * K(x,z)) = u. [para(7005(a,1),218(a,1,2))]. given #7139 (H,wt=18): 7030 K(L(x,y,z),L(u,w,x)) = L(K(x,u),y * x,z). [para(7018(a,1),6341(a,1,1)),flip(a)]. given #7140 (H,wt=16): 8298 K(L(x,y,z),L(u,w,x)) = K(L(x,y,z),u). [hyper(228,a,6341,a(flip),b,7030,a)]. given #7141 (H,wt=18): 7139 R(K(x,y),y * K(z,x),u) = K(x,y * K(z,x)). [para(7131(a,1),5702(a,1,1))]. given #7142 (H,wt=14): 8302 K(x,y * K(z,x)) != u | K(x,y) = u. [para(7139(a,1),7148(a,1))]. given #7143 (H,wt=14): 8305 K(x,K(x,y) \ z) != u | K(x,z) = u. [para(7321(a,1),8302(a,1,2))]. given #7144 (H,wt=16): 8301 K(x,R(y,K(z,x),u)) = K(x,y * K(z,x)). [hyper(228,a,6923,a(flip),b,7139,a(flip)),flip(a)]. given #7145 (H,wt=12): 8307 K(x,R(y,K(z,x),u)) = K(x,y). [hyper(228,a,7131,a(flip),b,8301,a)]. given #7146 (H,wt=16): 8303 K(x,y \ T(z,x)) != u | K(x,y \ z) = u. [para(1384(a,1),8302(a,1,2))]. given #7147 (H,wt=18): 7188 K(x \ 1,T(y,z)) != u | K(T(x,z) \ 1,y) = u. [para(7152(a,2),5854(a,1))]. given #7148 (H,wt=18): 7234 1 / (x \ K(y,T(x,z))) != u | T(x,T(y,z)) = u. [para(7202(a,1),4807(a,1,2,2))]. given #7149 (H,wt=18): 7235 K(x,T(y,z)) * u != w | K(y,T(x,z)) \ u = w. [para(7202(a,1),5058(a,1,1))]. given #7150 (H,wt=18): 7236 x * K(y,T(z,u)) != w | w * K(z,T(y,u)) = x. [para(7202(a,1),5064(a,1,2))]. given #7151 (H,wt=18): 7237 x / K(y,T(z,u)) != w | x * K(z,T(y,u)) = w. [para(7202(a,1),5067(a,1,2))]. given #7152 (H,wt=18): 7238 K(x,T(y,z)) \ u != w | K(y,T(x,z)) * u = w. [para(7202(a,1),5072(a,1,1))]. given #7153 (H,wt=18): 7239 (x * K(y,T(z,u))) \ x != w | K(z,T(y,u)) = w. [para(7202(a,1),5085(a,1,1,2))]. given #7154 (H,wt=18): 7254 R(K(x,y),x * K(z,y),u) = K(x * K(z,y),y). [para(7250(a,1),3854(a,1,1))]. given #7155 (H,wt=16): 8312 K(R(x,K(y,z),u),z) = K(x * K(y,z),z). [hyper(228,a,6734,a(flip),b,7254,a(flip)),flip(a)]. given #7156 (H,wt=12): 8313 K(R(x,K(y,z),u),z) = K(x,z). [hyper(228,a,7250,a(flip),b,8312,a)]. given #7157 (H,wt=18): 7310 L(K(x,y),K(y,z) * x,u) = K(K(y,z) * x,y). [para(7292(a,1),5507(a,1,1))]. given #7158 (H,wt=16): 8316 K(L(x,K(y,z),u),y) = K(K(y,z) * x,y). [hyper(6346,a,7310,a)]. given #7159 (H,wt=12): 8317 K(L(x,K(y,z),u),y) = K(x,y). [hyper(228,a,7292,a(flip),b,8316,a)]. given #7160 (H,wt=18): 7320 T(x,T(y \ 1,z)) != u | T(x,T(y,z) \ 1) = u. [para(7181(a,1),5814(a,1))]. given #7161 (H,wt=18): 7345 (x * T(y,z)) \ (x * R(y,z,y)) = K(y * z,y). [hyper(228,a,5326,a,b,7343,a(flip)),flip(a)]. given #7162 (H,wt=18): 7372 K(x,y \ (x * z)) != u | K(x,(x \ y) \ z) = u. [para(6299(a,1),7369(a,1))]. given #7163 (H,wt=18): 7374 K(x,(x * y) \ z) != u | K(x,y \ (x \ z)) = u. [para(6300(a,1),7369(a,1))]. given #7164 (H,wt=18): 7379 K(x,y / (x \ z)) != u | K(x,y / (z / x)) = u. [para(6015(a,1),7129(a,1,2))]. given #7165 (H,wt=18): 7394 T(x,L(x,y,z) * (z * y)) = T(x,z * (y * x)). [para(454(a,1),7378(a,1,2))]. given #7166 (H,wt=18): 7438 K(x,L(L(y,z,K(x,u)),w,v5)) = K(x,L(y,w,v5)). [para(45(a,1),7437(a,1,2))]. given #7167 (H,wt=18): 7504 T(T(x,y),z) != u * T(x,y) | K(x,T(z,y)) = u. [para(7226(a,1),20(a,1))]. given #7168 (H,wt=18): 7515 x * K(y,x \ z) != u * x | K(y,z / x) = u. [para(7284(a,1),20(a,1))]. given #7169 (H,wt=18): 7523 x * K(x \ y,z) != u * x | K(y / x,z) = u. [para(7325(a,1),20(a,1))]. given #7170 (H,wt=18): 7535 K(x,L(x \ y,x,z)) = K(x,z \ (x \ (z * y))). [para(102(a,2),7408(a,1,2))]. given #7171 (H,wt=18): 7553 T(x,T(y,z)) != u * T(x,y) | K(z,K(y,x)) = u. [para(7486(a,1),20(a,1))]. given #7172 (H,wt=18): 7616 T(K(x,y),R(K(z,x),u,w) * v5) = T(K(x,y),v5). [para(6118(a,1),7609(a,1,2,1))]. given #7173 (H,wt=18): 7623 x / T((y \ x) \ x,z) != u | T(y,z) \ x = u. [para(7611(a,1),293(a,1,2)),flip(b)]. given #7174 (H,wt=18): 7630 T(K(x,y),z * L(K(u,x),w,v5)) = T(K(x,y),z). [para(6128(a,1),7617(a,1,2,2))]. given #7175 (H,wt=18): 7636 K(x,T(y,z) \ 1) != u | K(x,T(y \ 1,z)) = u. [para(5807(a,2),7634(a,1))]. given #7176 (H,wt=18): 7648 K(x \ (y \ (z * y)),y) != u | K(x \ z,y) = u. [para(32(a,1),7383(a,1,1,2))]. given #7177 (H,wt=18): 7670 T(x \ y,K(x,z)) != u | x \ T(y,K(x,z)) = u. [para(7662(a,1),4495(a,1))]. given #7178 (H,wt=18): 7699 K(x,K(y,z)) \ K(y,x) != u | T(K(y,x),z) = u. [para(7692(a,1),4684(a,1,1))]. given #7179 (H,wt=18): 7712 K(x,y) * K(x,K(y,z)) != u | T(K(x,y),z) = u. [para(7693(a,1),4708(a,1,2))]. given #7180 (H,wt=14): 8329 K(x,T(y,z)) != u | T(K(x,y),z) = u. [para(7706(a,1),7712(a,1))]. given #7181 (H,wt=14): 8337 K(x,y) != z | T(K(x,T(y,u)),u) = z. [para(7828(a,1),8329(a,1))]. given #7182 (H,wt=16): 8331 T(K(x,y),z \ 1) != u | T(K(x,y),z) = u. [para(8092(a,1),7712(a,1))]. given #7183 (H,wt=16): 8332 K(x,T(y,y \ z)) != u | T(K(x,y),z) = u. [para(7102(a,2),8329(a,1))]. given #7184 (H,wt=16): 8334 K((x \ y) \ y,z) != u | T(K(x,z),y) = u. [para(7166(a,2),8329(a,1))]. given #7185 (H,wt=16): 8335 K(x \ y,z) != u | T(K(y / x,z),y) = u. [para(7170(a,1),8329(a,1))]. given #7186 (H,wt=16): 8336 K(x,T(y,x \ z)) != u | T(K(x,y),z) = u. [para(7492(a,2),8329(a,1))]. given #7187 (H,wt=16): 8338 K(x,y / z) != u | T(K(x,z \ y),z) = u. [para(7842(a,1),8329(a,1))]. given #7188 (H,wt=18): 7713 K(x,K(y,z)) * K(x,y) != u | T(K(x,y),z) = u. [para(7693(a,1),4713(a,1,1))]. given #7189 (H,wt=18): 7766 K(x,K(y,z)) * u != w | K(x,K(y,z)) \ u = w. [para(7740(a,1),5058(a,1,1))]. given #7190 (H,wt=18): 7767 K(x,K(y,z)) * u != w | K(x,K(y,z)) * w = u. [para(7740(a,1),5071(a,1,1))]. given #7191 (H,wt=18): 7768 K(x,K(y,z)) \ u != w | K(x,K(y,z)) * u = w. [para(7740(a,1),5072(a,1,1))]. given #7192 (H,wt=18): 7793 T(T(x,K(y,z)),u) != w | T(T(x,u),K(z,y)) = w. [para(7785(a,1),5427(a,1,1))]. given #7193 (H,wt=18): 7794 T(T(x,y),K(z,u)) != w | T(T(x,K(u,z)),y) = w. [para(7785(a,1),5427(a,1))]. given #7194 (H,wt=18): 7802 T(T(T(x,K(y,z)),u),K(y,z)) != w | T(x,u) = w. [para(7744(a,1),5905(a,1,1,1))]. given #7195 (H,wt=18): 7876 K(x / y,z / x) != u | K(y \ x,x \ z) = u. [para(7816(a,1),5790(a,1))]. given #7196 (H,wt=18): 7888 (x * K(y,z)) / (y \ x) != u | T(y,T(z,x)) = u. [para(7823(a,1),5000(a,1,1))]. given #7197 (H,wt=18): 7955 K(x,K(y,T(z,u))) != w | K(z,K(x,T(y,u))) = w. [para(7202(a,1),7742(a,1,2))]. given #7198 (H,wt=18): 7957 K(x,K(y,T(z,u))) != w | K(x,K(z,T(y,u))) = w. [para(7202(a,1),7771(a,1,2))]. given #7199 (H,wt=18): 7959 K(x,y) * (z * K(y,x)) != u | T(z,K(x,y)) = u. [para(5041(a,2),7801(a,1))]. given #7200 (H,wt=18): 7974 K(T(x,y),T(T(z,y),u)) != w | K(x,T(z,u)) = w. [para(38(a,1),7962(a,1,2))]. given #7201 (H,wt=18): 7981 K(x,y) * K(x,K(y,z)) != u | K(x,T(y,z)) = u. [para(7705(a,2),7634(a,1))]. given #7202 (H,wt=18): 7984 K(x,T(y,z)) != K(x,y) * u | K(x,K(y,z)) = u. [para(7706(a,1),19(a,1))]. given #7203 (H,wt=18): 7987 K(x,T(y,z)) != u | K(x,y) * K(x,K(y,z)) = u. [para(7707(a,1),5991(a,1))]. given #7204 (H,wt=18): 8002 K(x,K(y,z)) * K(y,x) != u | K(y,T(x,z)) = u. [para(7745(a,1),5307(a,1,1))]. given #7205 (H,wt=18): 8005 K(x,K(y,T(z,u))) != w | K(z,K(y,T(x,u))) = w. [para(7753(a,1),7725(a,1))]. given #7206 (H,wt=18): 8016 K(x,y) * z != u * K(x,y) | T(u,K(y,x)) = z. [para(7792(a,1),19(a,1)),flip(a)]. given #7207 (H,wt=18): 8029 K(x \ y,z) \ (y * K(y / x,z)) != u | u = y. [para(7821(a,1),284(a,1,2))]. given #7208 (H,wt=18): 8033 T(T(x,y),T(z,y)) != u | K(x,z) * T(x,y) = u. [para(7860(a,2),3167(a,1))]. given #7209 (H,wt=18): 8111 K(x,K(y,z / (u * z))) != w | K(x,K(y,u)) = w. [para(8082(a,2),7771(a,1))]. given #7210 (H,wt=18): 8113 K(x,K(y,z \ u)) != w | K(x,K(y,u \ z)) = w. [para(8083(a,1),7771(a,1))]. given #7211 (H,wt=18): 8114 K(x,K(y,z / (u * z))) != w | K(x,K(u,y)) = w. [para(8089(a,2),7771(a,1))]. given #7212 (H,wt=18): 8132 T(x,T(y,z \ 1)) != x * u | K(x,T(y,z)) = u. [para(8128(a,2),4771(a,1))]. given #7213 (H,wt=18): 8149 K(x \ y,T(z,y \ x)) != u | K(x \ y,z) = u. [para(8145(a,1),4888(a,1))]. given #7214 (H,wt=18): 8168 K(((x \ y) \ y) \ y,z) != u | K(y / x,z) = u. [para(7166(a,2),7963(a,1))]. given #7215 (H,wt=18): 8169 K(T(x,y) \ z,x) != u | K(z / T(x,y),x) = u. [para(196(a,1),7964(a,1,2))]. given #7216 (H,wt=18): 8181 K(x,K(y,z / u)) != w | K(x,K(y,u / z)) = w. [para(5410(a,1),8084(a,1,2))]. given #7217 (H,wt=18): 8187 K(x,T(y,z / u)) != w | K(x,T(y,u / z)) = w. [para(4109(a,1),8183(a,1,2))]. given #7218 (H,wt=18): 8188 K(x,T(y,z \ u)) != w | K(x,T(y,u \ z)) = w. [para(5675(a,1),8183(a,1,2))]. given #7219 (H,wt=18): 8194 K(x,(x \ y) \ z) != u | K(x,(y / x) \ z) = u. [para(115(a,1),8193(a,1,2,1))]. given #7220 (H,wt=18): 8203 T(x,L(x \ y,x,z)) = T(x,z \ (x \ (z * y))). [para(102(a,2),8202(a,1,2))]. given #7221 (H,wt=18): 8220 T(x * y,T(z,x)) != u | T(x * y,T(z,y)) = u. [para(7563(a,1),8130(a,1))]. given #7222 (H,wt=18): 8233 (x * T(y,z)) / T(x,y) != u | T(y,T(z,x)) = u. [para(8227(a,1),295(a,1,1)),flip(b)]. given #7223 (H,wt=18): 8250 K(K(R(x,y,z),u) * w,T(x,v5)) = K(w,T(x,v5)). [para(7839(a,1),7389(a,1,1,1))]. given #7224 (H,wt=18): 8253 K(T(x,y),T(z,y)) = K(L(x,T(x,y) \ 1,u),z). [hyper(228,a,5760,a(flip),b,7840,a(flip)),flip(a)]. given #7225 (H,wt=14): 8345 K(L(x,T(x,y) \ 1,z),u) = K(x,u). [hyper(7962,a,8253,a),flip(a)]. given #7226 (H,wt=14): 8347 K(L(x,x \ K(y,x),z),u) = K(x,u). [para(4653(a,1),8345(a,1,1,2))]. given #7227 (H,wt=18): 8263 K(x,T((y \ z) \ 1,y)) != u | K(x,y / z) = u. [para(7881(a,2),5579(a,1))]. given #7228 (H,wt=18): 8304 K(x,y / (z / x)) != u | K(x,y / (x \ z)) = u. [para(5230(a,1),8302(a,1,2))]. given #7229 (H,wt=18): 8309 K(x,R(R(y,K(z,x),u),w,v5)) = K(x,R(y,w,v5)). [para(46(a,1),8307(a,1,2))]. given #7230 (H,wt=18): 8310 x * K(T(y,z),u) != w | x * K(y,T(u,z)) = w. [para(5063(a,1),7237(a,1))]. given #7231 (H,wt=18): 8311 K(T(x,y),z) * u != w | K(x,T(z,y)) * u = w. [para(5035(a,1),7238(a,1))]. given #7232 (H,wt=18): 8315 K(R(R(x,K(y,z),u),w,v5),z) = K(R(x,w,v5),z). [para(46(a,1),8313(a,1,1))]. given #7233 (H,wt=18): 8320 T(x,(y * z) \ z) != u | T(x,T(y,z) \ 1) = u. [para(7522(a,1),7320(a,1))]. given #7234 (H,wt=18): 8322 K(x,(y * x) \ z) != u | K(x,y \ (x \ z)) = u. [para(6533(a,2),7374(a,1))]. given #7235 (H,wt=18): 8327 K((x * y) \ (z * y),y) != u | K(x \ z,y) = u. [para(7475(a,2),7648(a,1))]. given #7236 (H,wt=18): 8328 K(x \ (y * z),z) != u | K((z \ x) \ y,z) = u. [para(7476(a,1),7648(a,1))]. given #7237 (H,wt=18): 8333 K(x,K(y,T(z,u))) != w | T(K(x,K(y,z)),u) = w. [para(7152(a,2),8329(a,1,2))]. given #7238 (H,wt=18): 8344 K(x,y \ (x * z)) != u | K(x,(y / x) \ z) = u. [para(7002(a,1),8194(a,1))]. given #7239 (H,wt=18): 8348 K(x,T(y \ 1,z)) != u | K(x,z / (z * y)) = u. [para(13(a,1),8263(a,1,2,1,1))]. given #7240 (H,wt=18): 8349 K(x,(y * x) / z) != u | K(x,y / (x \ z)) = u. [para(7043(a,2),8304(a,1))]. given #7241 (H,wt=18): 8350 x * T(K(y,z),u) != w | x * K(y,T(z,u)) = w. [para(7198(a,1),8310(a,1,2))]. given #7242 (H,wt=18): 8352 K(x \ (y * z),z) != u | K((x / z) \ y,z) = u. [para(16(a,1),8327(a,1,1,1))]. given #7243 (H,wt=18): 8353 K((x * y) \ z,y) != u | K(x \ (y \ z),y) = u. [para(7585(a,1),8327(a,1))]. given #7244 (H,wt=18): 8354 K(x,T(1 / y,z)) != u | K(x,z / (z * y)) = u. [para(3244(a,2),8348(a,1))]. given #7245 (H,wt=18): 8355 K(x,y \ (z \ y)) != u | K(x,y / (y * z)) = u. [para(8214(a,1),8348(a,1))]. given #7246 (H,wt=18): 8356 K(x,K(y,z)) != u | K(y,z) * K(z,T(y,x)) = u. [para(5970(a,1),8350(a,1))]. given #7247 (H,wt=18): 8360 K((x * y) \ z,x) != u | K(y \ (x \ z),x) = u. [para(6531(a,1),8353(a,1))]. given #7248 (H,wt=19): 7010 (T(x,y) * z) * K(x,u) = T(x,y) * (z * K(x,u)). [para(7004(a,1),481(a,1,1,1)),flip(a)]. given #7249 (H,wt=12): 8361 L(K(x,y),z,T(x,u)) = K(x,y). [hyper(445,a,7010,a)]. given #7250 (H,wt=12): 8363 K(x,L(y,z,T(x,u))) = K(x,y). [hyper(228,a,6315,a(flip),b,8361,a(flip)),flip(a)]. given #7251 (H,wt=16): 8365 K(x,T(L(y,z,T(x,u)),w)) = K(x,T(y,w)). [para(40(a,1),8363(a,1,2))]. given #7252 (H,wt=19): 7027 K(x,T((x \ y) \ z,u)) = K(x,T(y \ (x * z),u)). [para(712(a,1),7018(a,1,2)),flip(a)]. given #7253 (H,wt=17): 8366 K(x,T(y \ (x * z),z)) = K(x,z / (x \ y)). [hyper(8176,a,7027,a),flip(a)]. given #7254 (H,wt=15): 8367 K(x,y / (x \ z)) = K(x,(z / y) \ x). [hyper(228,a,8268,a(flip),b,8366,a(flip))]. given #7255 (H,wt=15): 8368 K(x,(x * y) / z) = K(x,y / (x \ z)). [hyper(228,a,7935,a(flip),b,8366,a(flip)),flip(a)]. given #7256 (H,wt=15): 8371 K(x,(y * x) / z) = K(x,(z / y) \ x). [hyper(228,a,7479,a,b,8367,a(flip)),flip(a)]. given #7257 (H,wt=15): 8372 K(x,((x * y) / z) \ x) = K(x,z / y). [para(13(a,1),8367(a,1,2,2)),flip(a)]. given #7258 (H,wt=15): 8374 K(x,(y * x) / z) = K(x,(x * y) / z). [hyper(228,a,7479,a,b,8368,a),flip(a)]. given #7259 (H,wt=15): 8375 K(x,(x \ y) / (x \ z)) = K(x,y / z). [para(14(a,1),8368(a,1,2,1)),flip(a)]. given #7260 (H,wt=15): 8379 K(x,(y \ (x * z)) / z) = K(x,y \ x). [para(61(a,1),8372(a,1,2,1)),flip(a)]. given #7261 (H,wt=15): 8381 K(x,(x \ y) / (z / x)) = K(x,y / z). [hyper(7379,a,8375,a)]. given #7262 (H,wt=15): 8383 K(x,(x \ y) / z) = K(x,y / (z * x)). [para(15(a,1),8381(a,1,2,2))]. given #7263 (H,wt=15): 8384 K(x,y / ((x \ z) * x)) = K(x,y / z). [hyper(228,a,8375,a(flip),b,8383,a(flip))]. given #7264 (H,wt=15): 8385 K(x,y / (z * x)) = K(x,y / (x * z)). [para(13(a,1),8384(a,1,2,2,1))]. given #7265 (H,wt=17): 8377 T(K(x,y \ (z * x)),y) = K(x,(y / z) \ x). [hyper(8338,a,8371,a)]. given #7266 (H,wt=17): 8378 K(x,T(y \ (z * x),z)) = K(x,(y / z) \ x). [hyper(228,a,7934,a,b,8371,a(flip)),flip(a)]. given #7267 (H,wt=17): 8386 K(x,y / ((z * y) * x)) = K(x,z \ (x \ 1)). [hyper(228,a,6982,a(flip),b,8385,a)]. given #7268 (H,wt=17): 8388 K(x,(y / z) \ (x \ 1)) = K(x,z / (y * x)). [para(16(a,1),8386(a,1,2,2,1)),flip(a)]. given #7269 (H,wt=18): 8376 K(x,y / (x \ z)) != u | K(x,(z / y) \ x) = u. [para(8368(a,1),6943(a,1))]. given #7270 (H,wt=18): 8380 K(x,(y * x) / z) != u | K(x,(z / y) \ x) = u. [para(8374(a,2),6943(a,1))]. given #7271 (H,wt=18): 8387 K(x,R(y / x,x,z)) = K(x,(y * z) / (z * x)). [para(110(a,2),8385(a,2,2)),flip(a)]. given #7272 (H,wt=18): 8392 K(x,R(x \ y,x,z)) = K(x,(y * z) / (z * x)). [hyper(228,a,4876,a(flip),b,8387,a(flip)),flip(a)]. given #7273 (H,wt=19): 7040 K(x,y) * (R(x,z,x) * u) = R(T(x,y),z,x) * u. [para(7022(a,1),5030(a,1,1))]. given #7274 (H,wt=19): 7041 K(x,y) * (x \ R(x,z,x)) = x \ R(T(x,y),z,x). [para(7022(a,1),6665(a,1,1))]. given #7275 (H,wt=19): 7046 (x * (K(y,x) * z)) * y = K(y,x) * ((x * z) * y). [para(7032(a,1),5473(a,1,1)),flip(a)]. given #7276 (H,wt=19): 7078 (K(x,y) * z) * K(y,u) = K(x,y) * (z * K(y,u)). [para(7014(a,1),109(a,1,1)),flip(a)]. given #7277 (H,wt=19): 7097 R((x * y) / x,z,y) \ y = R(y,z,y) \ T(y,x). [hyper(71,a,7037,a(flip),b,6790,a),flip(a)]. given #7278 (H,wt=19): 7108 T(x,T((y * x) / z,u)) = T(x,T(y / (z / x),u)). [para(717(a,1),7106(a,1,2))]. given #7279 (H,wt=19): 7109 T(x,T((y * x) / z,z / x)) = T(x,(z / x) \ y). [para(720(a,1),7106(a,1,2))]. given #7280 (H,wt=17): 8395 T(x,T((y * x) / z,z)) = T(x,(z / x) \ y). [hyper(7641,a,7109,a)]. given #7281 (H,wt=15): 8396 T(x,(y / x) \ z) = T(x,y \ (z * x)). [para(115(a,1),8395(a,1,2)),flip(a)]. given #7282 (H,wt=15): 8397 T(x,y \ (z * x)) = T(x,y \ (x * z)). [hyper(228,a,7519,a(flip),b,8396,a(flip))]. given #7283 (H,wt=15): 8398 T(x,(x \ y) \ z) = T(x,y \ (z * x)). [hyper(228,a,7299,a(flip),b,8396,a(flip)),flip(a)]. given #7284 (H,wt=15): 8400 T(x,y \ ((x \ z) * x)) = T(x,y \ z). [para(14(a,1),8397(a,2,2,2))]. given #7285 (H,wt=17): 8403 K(x,T(y,(y \ z) \ u)) = K(x,T(y,z \ u)). [para(8398(a,2),8206(a,1,2))]. given #7286 (H,wt=17): 8404 T(x,y \ ((x \ z) * x)) = x * K(x,y \ z). [hyper(228,a,4705,a(flip),b,8400,a)]. given #7287 (H,wt=15): 8409 K(x,y \ ((x \ z) * x)) = K(x,y \ z). [hyper(4771,a,8404,a)]. given #7288 (H,wt=15): 8412 K(x,y \ (z * x)) = K(x,y \ (x * z)). [para(13(a,1),8409(a,1,2,2,1))]. given #7289 (H,wt=15): 8413 K(x,(y / x) \ z) = K(x,y \ (z * x)). [hyper(228,a,7521,a,b,8412,a),flip(a)]. given #7290 (H,wt=15): 8414 K(x,(x \ y) \ z) = K(x,y \ (z * x)). [hyper(228,a,7002,a,b,8412,a),flip(a)]. given #7291 (H,wt=15): 8416 K(x,(x * y) \ (z * x)) = K(x,y \ z). [para(13(a,1),8414(a,1,2,1)),flip(a)]. given #7292 (H,wt=15): 8417 K(x,y \ (((x \ y) * z) * x)) = K(x,z). [para(13(a,1),8414(a,1,2)),flip(a)]. given #7293 (H,wt=17): 8407 K(x,T(y,(y * z) \ u)) = K(x,T(y,z \ u)). [para(13(a,1),8403(a,1,2,2,1)),flip(a)]. given #7294 (H,wt=17): 8420 K(x * y,T(x,y \ z)) = K(x * y,T(x,z)). [hyper(7638,a,8407,a),flip(a)]. given #7295 (H,wt=17): 8421 K(x * y,T(x,y \ z)) = K(y * x,T(x,z)). [hyper(228,a,6428,a,b,8420,a)]. given #7296 (H,wt=17): 8422 K(x * y,T(y,x \ z)) = K(x * y,T(y,z)). [hyper(228,a,6428,a,b,8421,a(flip)),flip(a)]. given #7297 (H,wt=17): 8423 K(x * y,T(y,x * z)) = K(x * y,T(y,z)). [para(13(a,1),8422(a,1,2,2)),flip(a)]. given #7298 (H,wt=18): 8411 T(x,y \ ((x \ z) * x)) != u | T(x,y \ z) = u. [para(8404(a,2),4708(a,1))]. given #7299 (H,wt=18): 8424 T(x,(x \ y) \ (x \ z)) != u | T(x,y \ z) = u. [para(8398(a,2),8411(a,1))]. given #7300 (H,wt=18): 8425 T(x,y \ (x \ z)) != u | T(x,(x * y) \ z) = u. [para(13(a,1),8424(a,1,2,1))]. given #7301 (H,wt=18): 8426 T(x,(x \ y) \ z) != u | T(x,y \ (x * z)) = u. [para(13(a,1),8424(a,1,2,2))]. given #7302 (H,wt=18): 8427 T(x,(y / x) \ z) != u | T(x,y \ (x * z)) = u. [para(7299(a,2),8426(a,1))]. given #7303 (H,wt=19): 7157 R(T(K(x,y),z),y * u,w) = K(x,T(R(y,u,w),z)). [hyper(228,a,6932,a,b,7152,a),flip(a)]. given #7304 (H,wt=19): 7177 x * L(K(y,T(z,x)),u,w) = L(K(y,z),u,w) * x. [para(7152(a,2),183(a,1,2,1))]. given #7305 (H,wt=19): 7183 K(x,y) * (K(z,u) * x) = T(x,y) * K(z,T(u,x)). [para(7152(a,2),4979(a,2,2))]. given #7306 (H,wt=19): 7192 K(x,K(y,z)) * (K(z,y) * u) = K(z,T(y,x)) * u. [para(7152(a,2),5977(a,2,1))]. given #7307 (H,wt=19): 7193 K(x,T(L(y,z / y,u),w)) = T(L(K(x,y),z,u),w). [para(6313(a,1),7152(a,2,1))]. given #7308 (H,wt=19): 7241 x \ (y * K(z,T(x,u))) = T(y / T(x,T(z,u)),x). [para(7202(a,1),5287(a,1,2,2))]. given #7309 (H,wt=15): 8431 T(x / T(y,T(z,x)),y) = T(y,z) \ x. [hyper(228,a,7279,a(flip),b,7241,a(flip))]. given #7310 (H,wt=15): 8432 T(x / T(y,z),y) = T(y,T(z,x)) \ x. [para(7927(a,1),8431(a,1,1,2))]. given #7311 (H,wt=19): 7245 (x * y) * K(z,T(y,u)) = x * (y * K(z,T(y,u))). [para(7243(a,1),109(a,1,1)),flip(a)]. given #7312 (H,wt=19): 7249 K(x / y,z \ (x / y)) = K(x / y,z \ (y \ x)). [para(115(a,1),7135(a,1,2,2)),flip(a)]. given #7313 (H,wt=19): 7266 T(x / ((y \ z) \ z),T(y,z)) = ((y \ z) \ z) \ x. [hyper(647,a,7146,a),flip(a)]. given #7314 (H,wt=19): 7283 x * K(y,L(T(z,x),u,w)) = K(y,L(z,u,w)) * x. [para(40(a,2),7174(a,1,2,2))]. given #7315 (H,wt=19): 7285 K(x,1 / (y * z)) * y = y * K(x,y \ (1 / z)). [para(322(a,1),7174(a,1,2,2)),flip(a)]. given #7316 (H,wt=19): 7351 K(x,K(y \ x,y) * z) = K(x,z * K(y \ x,y)). [para(5079(a,1),7227(a,1,2))]. given #7317 (H,wt=19): 7352 K(x * K(y / z,u),y) = K(x * K(z \ y,u),y). [para(5495(a,1),7252(a,1,1,2)),flip(a)]. given #7318 (H,wt=19): 7356 K(x,y) * K(z \ 1,x) = z * T(z \ K(x,y),x). [para(7256(a,1),5241(a,2,2)),flip(a)]. given #7319 (H,wt=19): 7368 (x / T(y,z)) * K(y \ x,y) = T(x / T(y,z),y). [para(7362(a,1),4705(a,2,2)),flip(a)]. given #7320 (H,wt=19): 7399 K(x \ L(T(y,z),u,w),y) = K(x \ L(y,u,w),y). [para(6270(a,1),7386(a,1,1))]. given #7321 (H,wt=12): 8437 K(x \ L(T(x,y),z,u),x) = 1. [hyper(228,a,4598,a(flip),b,7399,a)]. given #7322 (H,wt=19): 7401 K(x,T(R(x,y,z),u) \ w) = K(x,R(x,y,z) \ w). [para(4977(a,1),7387(a,1,2)),flip(a)]. given #7323 (H,wt=19): 7402 K(x,R(T(x,y),z,u) * w) = K(x,R(x,z,u) * w). [para(5030(a,1),7387(a,1,2))]. given #7324 (H,wt=19): 7409 (((x \ (y / z)) * x) * z) \ y = K(x,z \ (x \ y)). [hyper(228,a,5466,a,b,7015,a(flip)),flip(a)]. given #7325 (H,wt=19): 7411 (x * ((y / z) / x)) * z = y * K(x,z \ (x \ y)). [para(7015(a,1),6156(a,2,2))]. given #7326 (H,wt=19): 7414 K(x,y) * (x \ L(x,z,x)) = x \ L(T(x,y),z,x). [hyper(71,a,7025,a(flip),b,4991,a),flip(a)]. given #7327 (H,wt=19): 7436 K((K(x,y) * z) \ u,y) = K(z \ (K(y,x) * u),y). [hyper(228,a,6333,a(flip),b,7426,a(flip))]. given #7328 (H,wt=19): 7439 K(x,(K(y,x) * z) \ u) = K(x,z \ (K(x,y) * u)). [para(5076(a,1),7437(a,1,2)),flip(a)]. given #7329 (H,wt=19): 7465 (T(x,y) * z) * K(u,x) = T(x,y) * (z * K(u,x)). [para(7463(a,1),481(a,1,1,1)),flip(a)]. given #7330 (H,wt=12): 8443 L(K(x,y),z,T(y,u)) = K(x,y). [hyper(445,a,7465,a)]. given #7331 (H,wt=19): 7472 x \ (y * T(K(z,x),u)) = (x \ y) * T(K(z,x),u). [para(7467(a,1),472(a,1,1))]. given #7332 (H,wt=19): 7477 x * K(y \ (z \ x),z) = y * ((z \ (y \ x)) * z). [para(7118(a,1),6464(a,1,2))]. given #7333 (H,wt=19): 7495 K(x,R(T(y,x \ z),u,w)) = K(x,T(R(y,u,w),z)). [para(42(a,2),7492(a,1,2))]. given #7334 (H,wt=19): 7513 T(x * K(y,x),T(z,T(x,u))) = T(x * K(y,x),z). [para(4674(a,1),7512(a,1,2,2,1))]. given #7335 (H,wt=19): 7527 (x / y) * K(y \ x,T(y,z)) = T(x / y,T(y,z)). [para(7331(a,1),4705(a,2,2)),flip(a)]. given #7336 (H,wt=19): 7533 K(x / y,z * (y * (x / y))) = K(x / y,z * x). [para(240(a,1),7381(a,1,2,2))]. given #7337 (H,wt=19): 7538 K(x,y) * (L(y,z,y) \ u) = L(T(y,x),z,y) \ u. [para(7413(a,1),6293(a,1,1)),flip(a)]. given #7338 (H,wt=19): 7567 T(K(x,y) * z,T(z,K(y,x))) = T(K(x,y) * z,z). [para(5040(a,1),7566(a,1,2,2))]. given #7339 (H,wt=19): 7600 1 / (x \ K(y \ (z \ y),x)) = T(x,(z * y) \ y). [para(7573(a,1),4806(a,2,2,2)),flip(a)]. given #7340 (H,wt=15): 8451 T(x,(y * z) \ z) = T(x,z \ (y \ z)). [hyper(4807,a,7600,a),flip(a)]. given #7341 (H,wt=15): 8452 T(x,T(y,z) \ 1) = T(x,z \ (y \ z)). [hyper(8320,a,8451,a)]. given #7342 (H,wt=15): 8454 T(x,T(y \ 1,z)) = T(x,z \ (y \ z)). [hyper(228,a,7522,a,b,8451,a(flip)),flip(a)]. given #7343 (H,wt=17): 8453 x * K(x,y \ (z \ y)) = T(x,(z * y) \ y). [hyper(228,a,4705,a(flip),b,8451,a),flip(a)]. given #7344 (H,wt=15): 8457 K(x,(y * z) \ z) = K(x,z \ (y \ z)). [hyper(17,a,4705,a(flip),b,8453,a),flip(a)]. given #7345 (H,wt=15): 8458 K(x,y / (y * z)) = K(x,(z * y) \ y). [hyper(228,a,8215,a,b,8457,a),flip(a)]. given #7346 (H,wt=15): 8459 K(x,((y \ z) * y) \ y) = K(x,y / z). [para(14(a,1),8458(a,1,2,2)),flip(a)]. given #7347 (H,wt=15): 8460 K(x,y \ T(z,z \ y)) = K(x,z / y). [para(5962(a,1),8459(a,1,2))]. given #7348 (H,wt=15): 8461 K(x,(y / z) / y) = K(x,y \ (z \ y)). [para(583(a,1),8460(a,1,2,2)),flip(a)]. given #7349 (H,wt=15): 8462 K(x,(y / z) / y) = K(x,y / (y * z)). [hyper(228,a,8215,a,b,8461,a)]. given #7350 (H,wt=19): 7615 T(1 / (1 / x),y) \ K(z,x) = K(z,x) / T(x,y). [para(4094(a,1),7603(a,1,1,1))]. given #7351 (H,wt=19): 7618 K(x,T(y,z * (u * x))) = K(x,T(y,z * (x * u))). [para(6344(a,1),7610(a,1,2,2)),flip(a)]. given #7352 (H,wt=19): 7619 K(x,T(y,(z * K(u,x)) * w)) = K(x,T(y,z * w)). [para(6715(a,1),7610(a,1,2,2)),flip(a)]. given #7353 (H,wt=19): 7626 ((x \ y) \ y) * (T(x,y) \ y) = x * (y / T(x,y)). [para(7612(a,1),4283(a,1,2))]. given #7354 (H,wt=19): 7651 T(x,(K(y,x) * z) \ (K(y,x) * u)) = T(x,z \ u). [para(102(a,1),7650(a,1,2))]. given #7355 (H,wt=19): 7714 (x * K(y,z)) * K(y,K(z,u)) = x * T(K(y,z),u). [para(7693(a,1),5199(a,1,2))]. given #7356 (H,wt=19): 7716 K(L(K(x,y),z,u) \ 1,w) = L(K(y,K(x,w)),z,u). [para(7693(a,1),6133(a,2,1))]. given #7357 (H,wt=17): 8469 L(K(x,K(y,z)),u,w) = K(L(K(x,y),u,w),z). [para(6239(a,1),7716(a,1,1)),flip(a)]. given #7358 (H,wt=19): 7751 x * L(K(y,K(z,x)),u,w) = T(x,L(K(y,z),u,w)). [para(7728(a,2),6244(a,1,2,1))]. given #7359 (H,wt=19): 7803 R(x,T(K(y,z),u),u) = R(x,K(y,z),T(u,K(y,z))). [para(7744(a,1),6659(a,1,3)),flip(a)]. given #7360 (H,wt=15): 8471 R(x,T(K(y,z),u),u) = R(x,K(y,z),u). [hyper(228,a,8050,a(flip),b,7803,a)]. given #7361 (H,wt=19): 7809 K(x,K(y,z)) * K(y * z,y) = K(y * z,T(y,x)). [para(7781(a,1),7163(a,1,1))]. given #7362 (H,wt=19): 7812 (K(x,y) \ z) * K(x,y) = K(x,y) * (z / K(x,y)). [hyper(3814,a,7800,a),flip(a)]. given #7363 (H,wt=19): 7825 L(T(K(x,y),z),u,w) * z = z * L(K(x,y),u,w). [para(7813(a,1),183(a,1,2,1)),flip(a)]. given #7364 (H,wt=19): 7826 R(T(K(x,y),z),u,w) * z = z * R(K(x,y),u,w). [para(7813(a,1),184(a,1,2,1)),flip(a)]. given #7365 (H,wt=19): 7835 R(K(x,T(y,z)),u,w) * z = z * R(K(x,y),u,w). [para(7819(a,1),184(a,1,2,1)),flip(a)]. given #7366 (H,wt=19): 7857 K(T(x / (x / y),z),u) = K(T(y,z),T(u,y \ x)). [para(3910(a,1),7829(a,1,1)),flip(a)]. given #7367 (H,wt=17): 8477 K(T(x,y),T(z,x \ u)) = K(T(x,y),T(z,u)). [hyper(228,a,7916,a(flip),b,7857,a(flip))]. given #7368 (H,wt=17): 8478 K(T(x,y),T(z,x * u)) = K(T(x,y),T(z,u)). [para(13(a,1),8477(a,1,2,2)),flip(a)]. given #7369 (H,wt=19): 7893 K(K(x,y) * z,u) * z = z * K(z * K(x,y),u). [para(7200(a,1),7824(a,1,1))]. given #7370 (H,wt=19): 7902 K(x / (y \ z),z / (z / y)) = K((y \ z) \ x,y). [para(3909(a,1),7837(a,1,2)),flip(a)]. given #7371 (H,wt=19): 7907 ((x * y) / x) * K(y,T(z,x)) = T((x * y) / x,z). [para(7838(a,1),4705(a,2,2)),flip(a)]. given #7372 (H,wt=17): 8481 K(x,y) * T(y,T(z,x)) = T((x * y) / x,z). [hyper(5734,a,7907,a)]. given #7373 (H,wt=17): 8482 K(x,y) * T((y * x) / y,z) = T(x,T(z,y)). [hyper(5071,a,8481,a)]. given #7374 (H,wt=17): 8483 K(x,y) \ T(y * K(x,y),z) = T(y,T(z,x)). [hyper(71,a,5399,a(flip),b,8481,a)]. given #7375 (H,wt=17): 8484 K(x,y) * T(x * K(y,x),z) = T(x,T(z,y)). [para(4673(a,1),8482(a,1,2,1))]. given #7376 (H,wt=19): 7925 T(x,T(y,z * K(u,z))) = T(x,y * K(T(y,u),z)). [para(7859(a,1),5104(a,1,2,2)),flip(a)]. given #7377 (H,wt=19): 7941 T(x,R((y * z) / y,u,w)) = T(x,T(R(z,u,w),y)). [para(792(a,2),7929(a,1,2))]. given #7378 (H,wt=19): 7967 K(x,T(T(y,z),z * x)) != u | K(L(x,w,x),y) = u. [para(7597(a,1),7908(a,1))]. given #7379 (H,wt=19): 7979 T(K(x,y),T(z,K(y,u))) = K(x,K(y,z)) * K(x,y). [para(7169(a,1),7704(a,1,1,2)),flip(a)]. given #7380 (H,wt=15): 8488 T(K(x,y),T(z,K(y,u))) = T(K(x,y),z). [hyper(228,a,7704,a(flip),b,7979,a)]. given #7381 (H,wt=19): 7980 T(K(x,y),K(z,y) \ u) = K(x,y) * K(x,K(y,u)). [para(7302(a,1),7705(a,1,2,2)),flip(a)]. given #7382 (H,wt=15): 8490 T(K(x,y),K(z,y) \ u) = T(K(x,y),u). [hyper(228,a,7705,a(flip),b,7980,a)]. given #7383 (H,wt=16): 8492 T(K(x,y),z) != u | (K(x,y) \ z) \ z = u. [para(8490(a,1),648(a,1))]. given #7384 (H,wt=18): 8491 T(K(x,y),K(z,y) \ u) != w | T(K(x,y),u) = w. [para(7980(a,2),7712(a,1))]. given #7385 (H,wt=16): 8493 T(K(x,y),T(z,y)) != u | T(K(x,y),z) = u. [para(7942(a,1),8491(a,1))]. given #7386 (H,wt=19): 8000 K(x,y) * K(y,K(z,T(x,u))) = T(K(x,y),T(z,u)). [para(7202(a,1),7734(a,1,2,2))]. given #7387 (H,wt=19): 8006 K(x,y) * K(y,K(z,T(x,u))) = K(x,T(y,T(z,u))). [para(7753(a,2),7706(a,1,2))]. given #7388 (H,wt=19): 8008 K(x * y,x) * K(x,K(y,z)) = K(x * y,T(x,z)). [para(7783(a,1),7755(a,1,2))]. given #7389 (H,wt=19): 8024 T(x,K(y,z)) * K(y,z * x) = K(y,z * x) * x. [para(8022(a,1),7796(a,1,1))]. given #7390 (H,wt=19): 8031 K(x \ (y \ z),y) * z = z * K(z / (y * x),y). [para(7118(a,1),7821(a,1,1))]. given #7391 (H,wt=19): 8034 T(x * K(y,z),u) / x = x \ T(K(y,z) * x,u). [para(7869(a,1),4452(a,1,2,1)),flip(a)]. given #7392 (H,wt=19): 8035 K(x / y,z \ (x / y)) = K(y \ x,(z * y) \ x). [hyper(6968,a,7877,a)]. given #7393 (H,wt=19): 8040 K(x,T(T(K(y,x) * z,u),w)) = K(x,T(T(z,u),w)). [para(6583(a,1),7891(a,1,2,1)),flip(a)]. given #7394 (H,wt=19): 8055 K(x,1 / T(y,z / y)) = K(x,1 / (z / (z / y))). [para(188(a,1),8032(a,1,2,2,1))]. given #7395 (H,wt=19): 8057 K(x,K(y,(z / x) \ u)) = K(x,K(y,(x \ z) \ u)). [para(5915(a,1),8047(a,1,2,2)),flip(a)]. given #7396 (H,wt=19): 8094 K(x,y * ((z \ (y \ 1)) * z)) = K(x,K(y * z,z)). [para(6141(a,2),8078(a,1,2))]. given #7397 (H,wt=19): 8102 L(K(x \ 1,K(y,z)),u,w) = K(y,K(z,L(x,u,w))). [hyper(6487,a,8086,a)]. given #7398 (H,wt=17): 8502 L(K(x,K(y,z)),u,w) = K(x,K(z,L(y,u,w))). [para(8079(a,1),8102(a,1,1))]. given #7399 (H,wt=17): 8503 L(K(x,K(y,z)),u,w) = K(x,K(y,L(z,u,w))). [para(8086(a,1),8102(a,1,1))]. given #7400 (H,wt=17): 8504 L(K(x,K(y,z)),u,w) = K(y,K(z,L(x,u,w))). [para(8095(a,1),8102(a,1,1))]. given #7401 (H,wt=17): 8505 K(x,L(K(y,z),u,w)) = K(x,K(y,L(z,u,w))). [hyper(228,a,7774,a(flip),b,8502,a(flip)),flip(a)]. given #7402 (H,wt=17): 8506 K(x,L(K(y,z),u,w)) = K(x,K(z,L(y,u,w))). [hyper(228,a,6242,a(flip),b,8502,a(flip)),flip(a)]. given #7403 (H,wt=14): 8513 K(x,K(y,L(z,z,u))) = K(x,K(z,y)). [para(5507(a,1),8506(a,1,2)),flip(a)]. given #7404 (H,wt=17): 8507 K(x,K(y,L(z,u,w))) = K(x,K(z,L(y,u,w))). [hyper(228,a,8502,a(flip),b,8503,a(flip))]. given #7405 (H,wt=17): 8510 K(x,K(y,L(z,u,w))) = K(z,K(x,L(y,u,w))). [hyper(228,a,8503,a(flip),b,8504,a(flip))]. given #7406 (H,wt=17): 8511 K(L(K(x,y),z,u),w) = K(y,K(w,L(x,z,u))). [hyper(228,a,8469,a(flip),b,8504,a(flip)),flip(a)]. given #7407 (H,wt=17): 8521 K(L(K(x,y),z,u),w) = K(w,K(y,L(x,z,u))). [hyper(228,a,7723,a,b,8511,a)]. given #7408 (H,wt=19): 8106 K(K(x,y) \ z,T(K(x,u),w)) = K(x,K(z,T(u,w))). [para(7152(a,1),8056(a,1,2))]. given #7409 (H,wt=19): 8109 T(x,K(y,z)) * K(y,z \ x) = K(y,z \ x) * x. [para(8107(a,1),7796(a,1,1))]. given #7410 (H,wt=19): 8122 K(x,y \ 1) * T(z,K(x,y)) = z * K(x,y \ 1). [para(8116(a,1),113(a,1,2))]. given #7411 (H,wt=19): 8134 T(1 / (x * K(y,z)),K(z,y)) = 1 / (K(y,z) * x). [para(5079(a,1),8125(a,1,2)),flip(a)]. given #7412 (H,wt=19): 8152 K(x * L(y,z,u),T(y,x)) = K(x * L(y,z,u),y). [para(260(a,1),8146(a,1,2)),flip(a)]. given #7413 (H,wt=19): 8153 K(L(x,y,z) * u,T(x,u)) = K(L(x,y,z) * u,x). [para(260(a,1),8146(a,2,2))]. given #7414 (H,wt=19): 8154 K(x * R(y,z,u),T(y,x)) = K(x * R(y,z,u),y). [para(602(a,1),8146(a,1,2)),flip(a)]. given #7415 (H,wt=19): 8162 K(x,T(y,(x \ z) \ u)) = K(x,T(y,z \ (x * u))). [para(458(a,1),8161(a,1,2,2)),flip(a)]. given #7416 (H,wt=19): 8218 T(T(x,y) * (x \ z),x) = T(x,y) * (x \ T(z,x)). [hyper(171,a,7544,a,b,1053,a)]. given #7417 (H,wt=19): 8228 K(x,y) \ (R(x,z,u) * y) = R(x,z,u) * T(y,x). [para(602(a,1),8224(a,2,2,2))]. given #7418 (H,wt=19): 8231 T(K(x,y),z) * ((x \ z) * x) = (x \ z) * T(x,y). [para(7493(a,1),8225(a,1,1))]. given #7419 (H,wt=19): 8232 (x * ((y \ z) \ z)) / T(x,y) = T(y,T(y \ z,x)). [hyper(72,a,246,a(flip),b,8227,a)]. given #7420 (H,wt=19): 8235 T(x,T(y * K(x,z),u)) = (u * T(x,y)) / T(u,x). [para(7057(a,1),8230(a,1,1,2)),flip(a)]. given #7421 (H,wt=15): 8532 T(x,T(y * K(x,z),u)) = T(x,T(y,u)). [hyper(228,a,8230,a(flip),b,8235,a)]. given #7422 (H,wt=19): 8238 K(x,T(y \ x,z / y)) = K(x,T(y \ x,y \ z)). [para(115(a,1),7607(a,1,2,2)),flip(a)]. given #7423 (H,wt=19): 8245 x \ T(x * y,K(z,u)) = y * K(z,K(u,x * y)). [para(15(a,1),7750(a,1,1))]. given #7424 (H,wt=19): 8262 T(x,T((y \ z) \ 1,y)) = x * K(x,(z / y) \ 1). [para(7881(a,1),4705(a,2,2))]. given #7425 (H,wt=17): 8536 T(x,T((y \ z) \ 1,y)) = T(x,(z / y) \ 1). [hyper(228,a,4705,a,b,8262,a)]. given #7426 (H,wt=17): 8537 T(x,((y * z) / y) \ 1) = T(x,T(z \ 1,y)). [para(13(a,1),8536(a,1,2,1,1)),flip(a)]. given #7427 (H,wt=15): 8538 T(x,T(y \ 1,z)) = T(x,y \ K(y,z)). [para(4798(a,1),8537(a,1,2)),flip(a)]. given #7428 (H,wt=15): 8539 T(x,y \ K(y,z)) = T(x,z \ (y \ z)). [hyper(228,a,8454,a(flip),b,8538,a(flip))]. given #7429 (H,wt=15): 8540 T(x,y / (y * z)) = T(x,y \ (z \ y)). [hyper(228,a,5112,a(flip),b,8539,a(flip)),flip(a)]. given #7430 (H,wt=19): 8266 K(x \ (y \ z),y) * z = z * K((y \ z) / x,y). [para(7894(a,1),7174(a,1,2)),flip(a)]. given #7431 (H,wt=15): 8541 K((x \ y) / z,x) = K(y / (x * z),x). [hyper(17,a,8031,a(flip),b,8266,a(flip))]. given #7432 (H,wt=19): 8267 K(T(x * y,y) / x,z) = K(y,T(T(z,x),x * y)). [hyper(7964,a,7906,a)]. given #7433 (H,wt=16): 8542 K(L(x,y,x),z) = K(T(u * x,x) / u,z). [hyper(228,a,7841,a,b,8267,a),flip(a)]. given #7434 (H,wt=13): 8543 K(T(x * y,y) / x,z) = K(y,z). [hyper(7373,a,8542,a),flip(a)]. given #7435 (H,wt=15): 8545 K(T(x,y \ x) / y,z) = K(y \ x,z). [para(14(a,1),8543(a,1,1,1,1))]. given #7436 (H,wt=19): 8284 K(x / y,z) * (1 / y) = (1 / y) * K(y \ x,z). [para(7216(a,1),8140(a,1,2)),flip(a)]. given #7437 (H,wt=19): 8287 K(x,T(y \ z,u \ z)) = K(x,T(y \ z,u \ y)). [para(14(a,1),8206(a,1,2,2,2))]. given #7438 (H,wt=17): 8547 K(x,T(x \ y,z \ y)) = K(x,T(x \ y,z)). [hyper(228,a,8142,a(flip),b,8287,a)]. given #7439 (H,wt=19): 8291 x * (T(x,y) \ (K(z,x) / x)) = K(z,x) / T(x,y). [hyper(4683,a,8265,a)]. given #7440 (H,wt=19): 8294 T(x * K(y / z,x),z \ y) = T(x,K(z \ y,y)). [para(7818(a,1),8293(a,1,1,2))]. given #7441 (H,wt=17): 8550 T(x * K(y / z,x),z \ y) = T(x,K(y,z)). [hyper(228,a,8126,a(flip),b,8294,a)]. given #7442 (H,wt=15): 8551 T(T(x,K(y,z)),y / z) = T(x,z \ y). [para(8550(a,1),4742(a,1,1))]. given #7443 (H,wt=15): 8552 T(T(x,y / z),K(z,y)) = T(x,z \ y). [hyper(7793,a,8551,a)]. given #7444 (H,wt=15): 8553 T(T(x,K(y,z)),z \ y) = T(x,y / z). [para(7789(a,1),8551(a,1,1)),flip(a)]. given #7445 (H,wt=19): 8296 T(x,1 / (((y \ z) \ z) \ z)) = T(x,1 / (z / y)). [para(3933(a,1),8282(a,1,2,2))]. given #7446 (H,wt=19): 8299 K(L(x,y,z),L(u,w,x)) != v5 | K(L(x,y,z),u) = v5. [para(7030(a,2),6346(a,1))]. given #7447 (H,wt=19): 8319 K((x * K(y,z)) \ u,y) = K(K(y,z) \ (x \ u),y). [para(222(a,1),8317(a,1,1))]. given #7448 (H,wt=15): 8555 K((x * K(y,z)) \ u,y) = K(x \ u,y). [hyper(228,a,7307,a(flip),b,8319,a)]. given #7449 (H,wt=15): 8557 K((x * K(y,z)) \ u,z) = K(x \ u,z). [para(5062(a,1),8555(a,1,1,1)),flip(a)]. given #7450 (H,wt=15): 8560 K((K(x,y) * z) \ u,y) = K(z \ u,y). [para(7187(a,1),8555(a,1,1,1)),flip(a)]. given #7451 (H,wt=15): 8563 K(x \ (K(y,z) * u),y) = K(x \ u,y). [hyper(228,a,7436,a(flip),b,8560,a(flip)),flip(a)]. given #7452 (H,wt=15): 8565 K(x \ (K(y,z) \ u),y) = K(x \ u,y). [para(14(a,1),8563(a,1,1,2)),flip(a)]. given #7453 (H,wt=15): 8566 K(x \ (K(y,z) * u),z) = K(x \ u,z). [para(5042(a,1),8563(a,1,1,2)),flip(a)]. given #7454 (H,wt=15): 8571 K(x \ (y * K(z,u)),z) = K(x \ y,z). [para(7823(a,1),8563(a,1,1,2))]. given #7455 (H,wt=17): 8568 K(x \ (T(y,z) \ u),y) = K(x \ (y \ u),y). [para(4977(a,1),8563(a,1,1,2)),flip(a)]. given #7456 (H,wt=17): 8572 K(x \ (y * T(z,u)),u) = K(x \ (y * z),u). [para(8229(a,1),8565(a,1,1,2))]. given #7457 (H,wt=17): 8576 K(x \ T(y,z),T(y,u)) = K(x \ y,T(y,u)). [para(7861(a,1),8571(a,1,1,2))]. given #7458 (H,wt=19): 8326 T(K(x,y),z * (u * K(w,x))) = T(K(x,y),z * u). [para(100(a,1),7630(a,1,2))]. given #7459 (H,wt=19): 8362 K(x,(T(x,y) * z) \ u) = K(x,z \ (T(x,y) \ u)). [hyper(6781,a,8361,a)]. given #7460 (H,wt=19): 8370 K(x,y / (x \ z)) * u = K(x,(z / y) \ x) * u. [hyper(22,a,8367,a)]. given #7461 (H,wt=15): 8579 T(x,y / (x \ z)) = T(x,(z / y) \ x). [hyper(5459,a,8370,a)]. given #7462 (H,wt=15): 8580 T(x,(y * x) / z) = T(x,(z / y) \ x). [hyper(228,a,7461,a,b,8579,a(flip)),flip(a)]. given #7463 (H,wt=19): 8428 R(T(K(x,y),z),y * u,w) = K(x,R(T(y,z),u,w)). [para(42(a,2),7157(a,2,2))]. given #7464 (H,wt=19): 8429 K(x,K(y,z)) * (K(x,y) * u) = K(x,T(y,z)) * u. [para(7692(a,1),7192(a,1,1))]. given #7465 (H,wt=19): 8430 K(x,K(y,z)) * (K(z,x) * u) = K(z,T(x,y)) * u. [para(7723(a,1),7192(a,1,1))]. given #7466 (H,wt=19): 8433 K((x \ y) \ z,T(z,u)) = K(y \ (x * z),T(z,u)). [hyper(6569,a,7245,a),flip(a)]. given #7467 (H,wt=19): 8435 K(x,(y * z) \ 1) * y = y * K(x,y \ (1 / z)). [para(3240(a,1),7285(a,1,1))]. given #7468 (H,wt=19): 8438 K(x,R(T(x,y),z,u) \ w) = K(x,R(x,z,u) \ w). [para(42(a,2),7401(a,1,2,1))]. given #7469 (H,wt=19): 8440 (x * ((y \ (x \ z)) * y)) \ z = K(y,x \ (y \ z)). [para(4504(a,1),7409(a,1,1))]. given #7470 (H,wt=19): 8442 x * K(y,z \ (y \ x)) = z * (y * ((z \ x) / y)). [hyper(228,a,4498,a(flip),b,7411,a(flip))]. given #7471 (H,wt=19): 8444 K((T(x,y) * z) \ u,x) = K(z \ (T(x,y) \ u),x). [hyper(228,a,6329,a(flip),b,8443,a(flip)),flip(a)]. given #7472 (H,wt=17): 8586 K((T(x,y) * z) \ u,x) = K(z \ (x \ u),x). [hyper(228,a,8568,a(flip),b,8444,a)]. given #7473 (H,wt=19): 8445 x \ (y * K(z,T(x,u))) = (x \ y) * T(K(z,x),u). [para(7152(a,2),7472(a,1,2,2))]. given #7474 (H,wt=19): 8449 K(x,R(T(y,x \ z),u,w)) = K(x,R(T(y,z),u,w)). [para(42(a,2),7495(a,2,2))]. given #7475 (H,wt=19): 8466 K(x,T(y,(z * x) * u)) = K(x,T(y,(x * z) * u)). [para(93(a,1),7619(a,1,2,2,1))]. given #7476 (H,wt=19): 8468 (x * K(y,z)) * T(K(z,y),u) = x * K(z,K(y,u)). [para(5062(a,1),7714(a,1,1)),flip(a)]. given #7477 (H,wt=19): 8470 x * K(L(K(y,z),u,w),x) = T(x,L(K(y,z),u,w)). [para(8469(a,1),7751(a,1,2))]. given #7478 (H,wt=19): 8475 T(R(K(x,y),z,u),w) * w = w * R(K(x,y),z,u). [para(42(a,1),7826(a,1,1))]. given #7479 (H,wt=19): 8487 T(x,R((y * z) / y,u,w)) = T(x,R(T(z,y),u,w)). [para(42(a,2),7941(a,2,2))]. given #7480 (H,wt=19): 8489 T(K(x,y),z / K(u,y)) = T(K(x,y),K(u,y) \ z). [para(5979(a,1),8488(a,1,2))]. given #7481 (H,wt=15): 8596 T(K(x,y),z / K(u,y)) = T(K(x,y),z). [hyper(228,a,8490,a(flip),b,8489,a)]. given #7482 (H,wt=15): 8598 T(K(x,y),z * K(y,u)) = T(K(x,y),z). [para(5063(a,1),8596(a,1,2))]. given #7483 (H,wt=19): 8498 K(x / y,z \ (y \ x)) = K(y \ x,(z * y) \ x). [hyper(228,a,7249,a(flip),b,8035,a(flip)),flip(a)]. given #7484 (H,wt=19): 8514 K(x,1 / L(K(y,z),u,w)) = K(x,K(y,L(z,u,w))). [para(6240(a,2),8506(a,1,2))]. given #7485 (H,wt=19): 8515 K(x,K(y,L(z,u * y,w))) = K(x,K(z,L(y,u,w))). [para(6315(a,1),8506(a,1,2)),flip(a)]. given #7486 (H,wt=19): 8516 K(x,K(x / y,L(z,u,w))) = K(x,K(z,L(y,u,w))). [hyper(8074,a,8507,a)]. given #7487 (H,wt=19): 8517 x * K(y,K(z,L(x,u,w))) = T(x,K(y,L(z,u,w))). [para(8507(a,1),7729(a,1,2))]. given #7488 (H,wt=19): 8523 T(x,K(y,z)) * K(y,z \ x) = x * K(y,x / z). [hyper(228,a,7822,a(flip),b,8109,a)]. given #7489 (H,wt=17): 8603 K(x,K(y,z)) * K(x,y \ z) = K(x,z / y). [hyper(17,a,7749,a,b,8523,a(flip)),flip(a)]. given #7490 (H,wt=19): 8524 T(1 / (x * K(y,z)),K(z,y)) = (1 / x) * K(z,y). [hyper(228,a,5048,a(flip),b,8134,a)]. given #7491 (H,wt=17): 8605 T(K(x,y) / z,K(x,y)) = (1 / z) * K(x,y). [para(4898(a,1),8524(a,1,1))]. given #7492 (H,wt=19): 8526 K(T(L(x,y,z) * u,u),x) = K(L(x,y,z) * u,x). [hyper(7329,a,8153,a)]. given #7493 (H,wt=19): 8529 T(x,y) * (x \ T(x * z,x)) = T(T(x,y) * z,x). [para(13(a,1),8218(a,1,1,2)),flip(a)]. given #7494 (H,wt=19): 8533 T(x,T(y / (z / x),u)) = T(x,T(y / (x \ z),u)). [para(6015(a,1),8532(a,1,2,1)),flip(a)]. given #7495 (H,wt=19): 8534 x * (y * K(z,K(u,x * y))) = T(x * y,K(z,u)). [para(8245(a,1),14(a,1,2))]. given #7496 (H,wt=19): 8558 K((x * (y / z)) \ u,z) = K((x * (z \ y)) \ u,z). [para(6040(a,1),8555(a,1,1,1))]. given #7497 (H,wt=19): 8559 K((x * (y * z)) \ u,z) = K((x * (z * y)) \ u,z). [para(6344(a,1),8555(a,1,1,1)),flip(a)]. given #7498 (H,wt=19): 8561 K((x * K(y,z)) \ u,T(y,w)) = K(x \ u,T(y,w)). [para(7829(a,1),8555(a,1,1,1,2))]. given #7499 (H,wt=19): 8562 K(x,(y * K(z,x)) \ u) = (w * K(y \ u,x)) \ w. [para(8557(a,1),5037(a,1,1,2)),flip(a)]. given #7500 (H,wt=15): 8611 K(x,(y * K(z,x)) \ u) = K(x,y \ u). [hyper(228,a,5037,a(flip),b,8562,a)]. given #7501 (H,wt=15): 8614 K(x,(y * K(x,z)) \ u) = K(x,y \ u). [para(5062(a,1),8611(a,1,2,1)),flip(a)]. given #7502 (H,wt=15): 8617 K(x,(K(y,x) * z) \ u) = K(x,z \ u). [para(7205(a,1),8611(a,1,2,1))]. given #7503 (H,wt=15): 8618 K(x,(K(x,y) * z) \ u) = K(x,z \ u). [para(7206(a,1),8611(a,1,2,1)),flip(a)]. given #7504 (H,wt=15): 8622 K(x,y \ (K(x,z) * u)) = K(x,y \ u). [hyper(228,a,7439,a(flip),b,8617,a(flip)),flip(a)]. given #7505 (H,wt=15): 8627 K(x,y \ (z * K(x,u))) = K(x,y \ z). [para(7823(a,1),8622(a,1,2,2))]. given #7506 (H,wt=15): 8628 K(x,y \ (z * K(u,x))) = K(x,y \ z). [para(7892(a,1),8622(a,1,2,2)),flip(a)]. given #7507 (H,wt=17): 8612 T(x,(y * K(z,x)) \ u) = x * K(x,y \ u). [para(8611(a,1),4705(a,2,2))]. given #7508 (H,wt=15): 8632 T(x,(y * K(z,x)) \ u) = T(x,y \ u). [hyper(228,a,4705,a,b,8612,a)]. given #7509 (H,wt=15): 8633 T(x,(y * K(x,z)) \ u) = T(x,y \ u). [para(5062(a,1),8632(a,1,2,1)),flip(a)]. given #7510 (H,wt=15): 8634 T(x,(K(y,x) * z) \ u) = T(x,z \ u). [para(7205(a,1),8632(a,1,2,1))]. given #7511 (H,wt=15): 8636 T(x,y \ (K(z,x) * u)) = T(x,y \ u). [hyper(228,a,7651,a(flip),b,8634,a(flip))]. given #7512 (H,wt=17): 8625 K(x,y \ (T(x,z) \ u)) = K(x,y \ (x \ u)). [para(4977(a,1),8622(a,1,2,2)),flip(a)]. given #7513 (H,wt=17): 8639 K(x,(T(x,y) * z) \ u) = K(x,z \ (x \ u)). [hyper(228,a,8362,a,b,8625,a(flip)),flip(a)]. given #7514 (H,wt=18): 8616 K(x,(y * L(K(z,x),u,w)) \ v5) = K(x,y \ v5). [para(6128(a,1),8611(a,1,2,1,2))]. given #7515 (H,wt=18): 8631 K(x,y \ (z * L(K(u,x),w,v5))) = K(x,y \ z). [para(6128(a,1),8628(a,1,2,2,2))]. given #7516 (H,wt=19): 8567 K(x \ (y / z),z \ y) = K(x \ (z \ y),z \ y). [para(4811(a,1),8563(a,1,1,2)),flip(a)]. given #7517 (H,wt=19): 8570 K(x \ (K(y,z) * u),T(y,w)) = K(x \ u,T(y,w)). [para(7829(a,1),8563(a,1,1,2,1))]. given #7518 (H,wt=19): 8574 K(x \ (y * (z * u)),u) = K(x \ (y * (u * z)),u). [para(6344(a,1),8571(a,1,1,2)),flip(a)]. given #7519 (H,wt=19): 8575 K(x \ (y * K(z,u)),T(z,w)) = K(x \ y,T(z,w)). [para(7829(a,1),8571(a,1,1,2,2))]. given #7520 (H,wt=19): 8581 R(K(x,T(y,z)),y * u,w) = K(x,R(T(y,z),u,w)). [para(7152(a,2),8428(a,1,1))]. given #7521 (H,wt=19): 8583 K(x,y \ (z \ 1)) * z = z * K(x,z \ (1 / y)). [para(118(a,1),8435(a,1,1,2))]. given #7522 (H,wt=17): 8647 K(x,T(y \ (z \ 1),z)) = K(x,z \ (1 / y)). [hyper(7282,a,8583,a)]. given #7523 (H,wt=19): 8584 K(x,(y * (z * x)) \ u) = K(x,(y * z) \ (x \ u)). [hyper(228,a,6813,a(flip),b,8440,a(flip)),flip(a)]. given #7524 (H,wt=19): 8590 K(x,R(T(y,x * z),u,w)) = K(x,R(T(y,z),u,w)). [para(13(a,1),8449(a,1,2,1,2)),flip(a)]. given #7525 (H,wt=19): 8600 K(x,1 / L(K(y,z),u,w)) = K(x,L(K(y,z),u,w)). [hyper(228,a,8505,a,b,8514,a)]. given #7526 (H,wt=19): 8607 T(x,T((y * x) / z,u)) = T(x,T(y / (x \ z),u)). [hyper(228,a,7108,a,b,8533,a(flip)),flip(a)]. given #7527 (H,wt=19): 8615 K(x,(y * (z / x)) \ u) = K(x,(y * (x \ z)) \ u). [para(6039(a,1),8611(a,1,2,1)),flip(a)]. given #7528 (H,wt=19): 8619 K(T(x,y),(z * K(u,x)) \ w) = K(T(x,y),z \ w). [para(7218(a,1),8611(a,1,2,1,2))]. given #7529 (H,wt=19): 8620 K(x,((y * K(z,x)) * u) \ w) = K(x,(y * u) \ w). [para(6715(a,1),8614(a,1,2,1)),flip(a)]. given #7530 (H,wt=19): 8629 K(x,y \ (z * (u / x))) = K(x,y \ (z * (x \ u))). [para(6040(a,1),8627(a,1,2,2))]. given #7531 (H,wt=19): 8630 K(x,y \ (z * (u * x))) = K(x,y \ (z * (x * u))). [para(6344(a,1),8627(a,1,2,2)),flip(a)]. given #7532 (H,wt=19): 8635 T(x,(y * (z * x)) \ u) = T(x,(y * (x * z)) \ u). [para(6344(a,1),8633(a,1,2,1)),flip(a)]. given #7533 (H,wt=19): 8638 T(x,y \ ((z / x) \ u)) = T(x,y \ ((x \ z) \ u)). [para(5446(a,1),8636(a,1,2,2))]. given #7534 (H,wt=19): 8641 K(x,(y * (z * K(u,x))) \ w) = K(x,(y * z) \ w). [para(100(a,1),8616(a,1,2,1))]. given #7535 (H,wt=19): 8642 K(x,y \ (z * (u * K(w,x)))) = K(x,y \ (z * u)). [para(100(a,1),8631(a,1,2,2))]. given #7536 (H,wt=19): 8644 K(x \ (y * z),T(z,u)) = K(x \ (z * y),T(z,u)). [para(4671(a,1),8570(a,1,1,2)),flip(a)]. given #7537 (H,wt=19): 8646 K(x,R(T(y,z),y \ u,w)) = R(K(x,T(y,z)),u,w). [para(14(a,1),8581(a,1,2)),flip(a)]. given #7538 (H,wt=16): 8658 K(x,R(T(y,z),y \ 1,u)) = K(x,T(y,z)). [hyper(228,a,340,a(flip),b,8646,a)]. given #7539 (H,wt=16): 8659 K(x,R(T(y,z),y \ 1,u)) = T(K(x,y),z). [hyper(228,a,7152,a(flip),b,8658,a)]. given #7540 (H,wt=19): 8648 K(x,(y * (z / x)) \ (x \ u)) = K(x,(y * z) \ u). [para(16(a,1),8584(a,1,2,1,2)),flip(a)]. given #7541 (H,wt=19): 8652 K(x,(((x \ y) * x) * z) \ u) = K(x,(y * z) \ u). [para(239(a,1),8620(a,1,2,1,1))]. given #7542 (H,wt=19): 8655 K(x,(y * (K(x,z) * u)) \ w) = K(x,(y * u) \ w). [para(7206(a,1),8641(a,1,2,1,2)),flip(a)]. given #7543 (H,wt=19): 8656 K(x,y \ (z * (K(x,u) * w))) = K(x,y \ (z * w)). [para(7206(a,1),8642(a,1,2,2,2)),flip(a)]. given #7544 (H,wt=19): 8660 K(x,(y * (x \ z)) \ (x \ u)) = K(x,(y * z) \ u). [hyper(228,a,8615,a(flip),b,8648,a(flip)),flip(a)]. given #7545 (H,wt=17): 8662 K(x,(y * (x \ 1)) \ (x \ z)) = K(x,y \ z). [para(12(a,1),8660(a,2,2,1))]. given #7546 (H,wt=17): 8664 K(x,(y / (x \ 1)) \ z) = K(x,y \ (x \ z)). [para(16(a,1),8662(a,1,2,1)),flip(a)]. given #7547 (H,wt=17): 8665 K(x,(y \ 1) \ (x \ z)) = K(x,(y \ x) \ z). [para(119(a,1),8662(a,1,2,1))]. given #7548 (H,wt=17): 8667 K(x,(y \ x) \ (x * z)) = K(x,(y \ 1) \ z). [para(13(a,1),8665(a,1,2,2)),flip(a)]. given #7549 (H,wt=17): 8668 K(x,(y \ x) \ (z * x)) = K(x,(y \ 1) \ z). [hyper(228,a,8412,a,b,8667,a(flip)),flip(a)]. given #7550 (H,wt=19): 8663 K(x,(y * (x * z)) \ u) = K(x,(y * z) \ (x \ u)). [para(13(a,1),8660(a,1,2,1,2)),flip(a)]. given #7551 (H,wt=20): 7105 K(x,y) * (z * y) != y * u | T(K(x,y) * z,y) = u. [para(7100(a,1),492(a,1,1))]. given #7552 (H,wt=20): 7201 K((x * (y \ z)) \ (x * z),u) = L(K(T(y,z),u),z,x). [para(7126(a,1),6326(a,1,1)),flip(a)]. given #7553 (H,wt=20): 7242 K(x,T(y,z)) \ (y * u) != w | T(y,T(x,z)) * u = w. [para(7202(a,1),5012(a,1,1))]. given #7554 (H,wt=20): 7268 K(x,(y * (z \ u)) \ (y * u)) = L(K(x,T(z,u)),u,y). [para(7153(a,1),6297(a,1,1)),flip(a)]. given #7555 (H,wt=20): 7276 K((x * y) / (z * y),T(u,x)) = R(K(z \ x,u),x,y). [para(7170(a,1),6731(a,1,1)),flip(a)]. given #7556 (H,wt=20): 7286 K(x,y) * z != u * w | u \ (z * K(x,T(y,z))) = w. [para(7174(a,1),437(a,1))]. given #7557 (H,wt=20): 7327 (x * (K(y,z) * u)) \ (x * u) = L(K(z,T(y,u)),u,x). [para(7205(a,1),6437(a,1,1,2))]. given #7558 (H,wt=20): 7334 K(x \ y,z) * (y / x) != u | T(y / x,T(z,x)) = u. [para(7216(a,1),4713(a,1,1))]. given #7559 (H,wt=20): 7508 K(x * (y / R(z,u,z)),z) = K(x * (y / T(z,u)),z). [para(6650(a,1),7263(a,1,1,2))]. given #7560 (H,wt=20): 7536 K(x,y \ (x \ (y * (z * x)))) = K(x,L(T(z,x),x,y)). [para(179(a,1),7408(a,1,2)),flip(a)]. given #7561 (H,wt=18): 8670 K(x,y \ (x \ (y * (z * x)))) = K(x,L(z,x,y)). [hyper(228,a,4873,a(flip),b,7536,a)]. given #7562 (H,wt=20): 7543 T(x,y) * T(z,x) != x * u | T(K(x,y) * z,x) = u. [para(7418(a,1),172(a,2)),flip(a)]. given #7563 (H,wt=20): 7548 K(x,y) * T(K(x * y,x),y) = T(x \ R(x,y,x),y). [para(5325(a,1),7454(a,1,1)),flip(a)]. given #7564 (H,wt=18): 8672 K(x,y) * K(x * y,x) = T(x \ R(x,y,x),y). [para(7155(a,1),7548(a,1,2))]. given #7565 (H,wt=15): 8673 T(x \ R(x,y,x),y) = x \ R(x,y,x). [hyper(228,a,5325,a(flip),b,8672,a(flip))]. given #7566 (H,wt=17): 8674 (x * (y \ R(y,x,y))) / x = y \ R(y,x,y). [para(8673(a,1),166(a,1,1,2))]. given #7567 (H,wt=16): 8675 (T(x * y,x) / x) / y = x \ R(x,y,x). [para(6182(a,1),8674(a,1,1))]. given #7568 (H,wt=20): 7581 x \ T(x * K(y,z),y) != u | K(x,y) * K(y,z) = u. [para(7545(a,2),4985(a,1,2))]. given #7569 (H,wt=20): 7605 (x \ (y * T(x,z))) * x != u * T(x,z) | T(y,x) = u. [para(7579(a,2),5218(a,1,1)),flip(b)]. given #7570 (H,wt=20): 7633 K(x,T(y * z,y \ 1)) != u | K(x,T(y * z,z)) = u. [para(3871(a,1),7147(a,1,2))]. given #7571 (H,wt=20): 7639 K(L(T(x,y),z,u),w) != v5 | K(L(x,z,u),T(w,y)) = v5. [para(40(a,2),7637(a,1,1))]. given #7572 (H,wt=20): 7640 R(x,y,z) * K(u,x) != w | K(u,x) * R(x,y,z) = w. [para(602(a,1),7176(a,1,2,2))]. given #7573 (H,wt=20): 7642 K(L(x,y,z) / u,x) != w | K(u \ L(x,y,z),x) = w. [para(260(a,1),7184(a,1,2))]. given #7574 (H,wt=20): 7644 K(x,R(x,y,z) / u) != w | K(x,u \ R(x,y,z)) = w. [para(7221(a,1),7191(a,1))]. given #7575 (H,wt=20): 7654 K(x / y,L(y,z,u)) != w | K(y \ x,L(y,z,u)) = w. [para(130(a,1),7646(a,1,2))]. given #7576 (H,wt=20): 7657 T((x / y) * K(y,z),y) != u * K(y,z) | y \ x = u. [para(6998(a,2),20(a,1))]. given #7577 (H,wt=20): 7733 K(x,K(y,z)) * (y * u) != w | T(y,K(x,z)) * u = w. [para(7723(a,1),5095(a,1,1))]. given #7578 (H,wt=20): 7769 K(x,K(y,z)) * (x \ u) != w | T(x,K(y,z)) \ u = w. [para(7740(a,1),5008(a,1,1))]. given #7579 (H,wt=20): 7770 (x / y) * K(y,K(z,u)) != w | x / T(y,K(z,u)) = w. [para(7740(a,1),5280(a,1,2))]. given #7580 (H,wt=20): 7853 K(x,((y * z) * u) / (y * u)) = K(T(x,y),R(z,y,u)). [para(729(a,2),7829(a,1,2)),flip(a)]. given #7581 (H,wt=20): 7896 K(x,T(y,z)) * z != u * w | (z * K(x,y)) / w = u. [para(7833(a,1),376(a,1,1))]. given #7582 (H,wt=20): 7905 K(L((x \ y) / z,z,x),u) = K((x * z) \ y,T(u,z)). [para(799(a,2),7838(a,1,1))]. given #7583 (H,wt=20): 7912 K(x,T((y * z) \ (y * u),z)) = K(x,L(u / z,z,y)). [para(798(a,1),7843(a,1,2)),flip(a)]. given #7584 (H,wt=20): 7923 K(x,T(y,K(L(x,z,u),w) * v5)) = K(x * K(v5,x),y). [para(7398(a,1),7858(a,1,1,2)),flip(a)]. given #7585 (H,wt=18): 8677 K(x,T(y,K(L(x,z,u),w) * v5)) = K(x,T(y,v5)). [hyper(228,a,7858,a(flip),b,7923,a)]. given #7586 (H,wt=20): 7937 K(x,(y * x) / z) != u | K(x,T(z \ (y * x),y)) = u. [para(7880(a,1),7653(a,1))]. given #7587 (H,wt=20): 7958 K(x,K(y / z,T(u,z))) != w | K(x,K(u,z \ y)) = w. [para(7216(a,2),7771(a,1,2))]. given #7588 (H,wt=20): 7968 K(L(T(x,y),z,u),T(w,y)) != v5 | K(L(x,z,u),w) = v5. [para(7214(a,2),7908(a,1))]. given #7589 (H,wt=20): 7969 K(R(T(x,y),z,u),T(w,y)) != v5 | K(R(x,z,u),w) = v5. [para(7215(a,2),7908(a,1))]. given #7590 (H,wt=20): 7975 K(T(x,y),R(T(z,y),u,w)) != v5 | K(x,R(z,u,w)) = v5. [para(42(a,2),7962(a,1,2))]. given #7591 (H,wt=20): 8139 (x \ 1) * K(y,T(z,x)) != u * (x \ 1) | K(y,z) = u. [para(8135(a,1),174(a,1,2)),flip(b)]. given #7592 (H,wt=20): 8156 (x \ y) * K(x,K(y,z)) != u | T(x \ y,K(z,y)) = u. [para(8075(a,1),7700(a,1,2))]. given #7593 (H,wt=20): 8160 K(T(x * K(y,x),z),u) != w | K(T(x,z),T(u,y)) = w. [para(4747(a,2),7845(a,1,1))]. given #7594 (H,wt=20): 8163 K(x,K(y,z)) * u != u * w | K(x,K(y,T(z,u))) = w. [para(7819(a,1),7884(a,1,1,2))]. given #7595 (H,wt=20): 8166 K(x,T((y \ x) \ z,y)) != u | K(x,z / (y \ x)) = u. [para(8142(a,1),7960(a,1))]. given #7596 (H,wt=20): 8167 K(x \ (y * z),T(y,z)) != u | K((y * z) / x,y) = u. [para(7101(a,1),7963(a,1))]. given #7597 (H,wt=20): 8170 K(L(x,y,z) \ u,x) != w | K(u / L(x,y,z),x) = w. [para(260(a,1),7964(a,1,2))]. given #7598 (H,wt=20): 8180 K(x,K(y,z \ (u \ 1))) != w | K(x,K(y,u * z)) = w. [para(118(a,1),8084(a,1,2,2))]. given #7599 (H,wt=20): 8182 K(x,K(y,(1 / z) / u)) != w | K(x,K(y,u * z)) = w. [para(308(a,2),8100(a,1,2,2))]. given #7600 (H,wt=20): 8185 K(x,T(y \ (x * z),z)) != u | K(x,(x * z) / y) = u. [para(7494(a,1),8176(a,1))]. given #7601 (H,wt=20): 8201 (x / R(y,z,y)) * y != y * u | R(y,z,y) \ x = u. [para(7447(a,2),19(a,1))]. given #7602 (H,wt=20): 8208 K(x,y) * (x * z) != (x * z) * u | K(x,T(y,z)) = u. [para(7499(a,1),19(a,1))]. given #7603 (H,wt=20): 8213 x * K(y,x \ z) != u * x | K(y,(x / z) \ 1) = u. [para(7516(a,1),20(a,1))]. given #7604 (H,wt=20): 8244 T(x,K(y,z)) * u != x * w | K(y,K(z,x)) * u = w. [para(7749(a,1),19(a,1))]. given #7605 (H,wt=20): 8251 K(R(x,y,z),T(u,w)) != v5 | K(R(T(x,w),y,z),u) = v5. [para(7839(a,1),7908(a,1))]. given #7606 (H,wt=20): 8255 K(L(x,y,z),T(u,w)) != v5 | K(L(T(x,w),y,z),u) = v5. [para(7840(a,1),7908(a,1))]. given #7607 (H,wt=20): 8269 K(x,T(y \ (x * z),z)) != u | K(x,(y / z) \ x) = u. [para(7935(a,2),6943(a,1))]. given #7608 (H,wt=20): 8271 K(x,K(y,T(z,u / x))) != w | K(x,K(z,T(y,u))) = w. [para(8004(a,2),7725(a,1))]. given #7609 (H,wt=20): 8288 K(x,K(y / (z \ 1),u)) != w | K(x,K(u,y * z)) = w. [para(8247(a,2),7771(a,1))]. given #7610 (H,wt=20): 8297 K(x,K(y,(z \ 1) / (u / z))) != w | K(y,K(x,u)) = w. [para(8283(a,2),7725(a,1))]. given #7611 (H,wt=20): 8323 K(x,T(y / (x * z),z)) != u | K(x,z \ (x \ y)) = u. [para(7498(a,2),7374(a,1))]. given #7612 (H,wt=20): 8342 K(x,K(y \ z,T(y,u))) != w | K(y,K(x,T(z,u))) = w. [para(8051(a,2),7957(a,1))]. given #7613 (H,wt=20): 8358 T(x,K(y,z)) * K(y,x) != u | x * K(y,T(x,z)) = u. [para(8272(a,2),8350(a,1))]. given #7614 (H,wt=20): 8390 T(K(x,y \ (z * x)),y) != u | K(x,(y / z) \ x) = u. [para(7816(a,2),8380(a,1))]. given #7615 (H,wt=20): 8391 K(x,T(y \ (z * x),z)) != u | K(x,(y / z) \ x) = u. [para(7934(a,2),8380(a,1))]. given #7616 (H,wt=20): 8455 K(x,T(y,z \ (u \ z))) != w | K(x,T(y,T(u,z))) = w. [para(8452(a,1),8183(a,1,2))]. given #7617 (H,wt=20): 8464 x * K(x,(y / z) / y) != u | T(x,y / (y * z)) = u. [para(8462(a,2),4708(a,1,2))]. given #7618 (H,wt=20): 8485 T(x,T(y,z)) != u | K(x,z) * T(x * K(z,x),y) = u. [para(8483(a,1),5072(a,1))]. given #7619 (H,wt=20): 8494 T(K(x,y \ z),T(y,z)) != u | T(K(x,y \ z),y) = u. [para(7092(a,1),8493(a,1))]. given #7620 (H,wt=20): 8520 K(x,K(y,L(z,u,w))) != v5 | K(x,K(z,L(y,u,w))) = v5. [para(8510(a,2),7725(a,1))]. given #7621 (H,wt=20): 8522 K(L(K(x,y),z,u),w) != v5 | K(y,K(w,L(x,z,u))) = v5. [para(8521(a,2),7725(a,1))]. given #7622 (H,wt=20): 8525 T(x,y) * K(y * L(x,z,u),x) = R(x,y,L(x,z,u)). [para(8152(a,1),6767(a,1,2))]. given #7623 (H,wt=20): 8527 T(x,y) * K(y * R(x,z,u),x) = R(x,y,R(x,z,u)). [para(8154(a,1),4863(a,1,2))]. given #7624 (H,wt=20): 8548 K(x,T(x \ y,z \ y)) != u | K(x,T(x \ y,z)) = u. [para(8287(a,2),8151(a,1))]. given #7625 (H,wt=20): 8650 K(x,(x * y) \ ((x * z) * y)) = K(x,R(T(z,y),x,y)). [hyper(4945,a,8590,a)]. given #7626 (H,wt=20): 8680 K(x,K(y,z / (u \ 1))) != w | K(x,K(y,z * u)) = w. [para(7741(a,1),8288(a,1))]. given #7627 (H,wt=20): 8681 K(x,K(L(y,z,u),w)) != v5 | K(x,K(y,L(w,z,u))) = v5. [para(7741(a,1),8520(a,1))]. given #7628 (H,wt=20): 8682 L(K(x,K(y,z)),u,w) != v5 | K(x,K(y,L(z,u,w))) = v5. [para(8502(a,2),8520(a,1))]. given #7629 (H,wt=20): 8683 L(K(x,K(y,z)),u,w) != v5 | K(x,K(z,L(y,u,w))) = v5. [para(8503(a,2),8520(a,1))]. given #7630 (H,wt=20): 8684 K(x,L(K(y,z),u,w)) != v5 | K(x,K(z,L(y,u,w))) = v5. [para(8505(a,2),8520(a,1))]. given #7631 (H,wt=20): 8685 K(x,L(K(y,z),u,w)) != v5 | K(x,K(y,L(z,u,w))) = v5. [para(8506(a,2),8520(a,1))]. given #7632 (H,wt=20): 8686 L(K(x,K(y,z)),u,w) != v5 | K(y,K(z,L(x,u,w))) = v5. [para(8469(a,2),8522(a,1))]. given #7633 (H,wt=20): 8691 K(x,y \ (x \ ((x * z) * y))) = K(x,R(T(z,y),x,y)). [hyper(7374,a,8650,a)]. given #7634 (H,wt=21): 7011 (L(x,y,z) * u) * K(x,w) = L(x,y,z) * (u * K(x,w)). [para(7004(a,1),482(a,1,1,1)),flip(a)]. given #7635 (H,wt=13): 8692 L(K(x,y),z,L(x,u,w)) = K(x,y). [hyper(445,a,7011,a)]. given #7636 (H,wt=13): 8694 K(L(x,y,L(x,z,u)),w) = K(x,w). [hyper(6346,a,8692,a)]. given #7637 (H,wt=15): 8695 x * K(L(x,y,L(x,z,u)),w) = T(x,w). [para(8694(a,2),4705(a,2,2)),flip(a)]. given #7638 (H,wt=21): 7012 (R(x,y,z) * u) * K(x,w) = R(x,y,z) * (u * K(x,w)). [para(7004(a,1),483(a,1,1,1)),flip(a)]. given #7639 (H,wt=21): 7031 K(x,(y * (x / y)) \ (x * z)) = K(x,K(y \ x,y) * z). [para(6660(a,1),7018(a,1,2))]. given #7640 (H,wt=17): 8697 K(x,x \ (x * y)) = K(x,K(z \ x,z) * y). [hyper(228,a,6757,a(flip),b,7031,a(flip)),flip(a)]. given #7641 (H,wt=13): 8699 K(x,K(y \ x,y) * z) = K(x,z). [para(13(a,1),8697(a,1,2)),flip(a)]. given #7642 (H,wt=13): 8700 K(x,y * K(z \ x,z)) = K(x,y). [hyper(228,a,7351,a(flip),b,8699,a(flip)),flip(a)]. given #7643 (H,wt=15): 8701 K(x * y,K(y,x) * z) = K(x * y,z). [para(13(a,1),8699(a,1,2,1,1))]. given #7644 (H,wt=15): 8702 K(x,(x / y) * z) = K(x,(y \ x) * z). [para(5524(a,1),8699(a,1,2)),flip(a)]. given #7645 (H,wt=15): 8704 K(x,y \ ((z \ x) \ x)) = K(x,y \ z). [para(6274(a,1),8700(a,1,2)),flip(a)]. given #7646 (H,wt=21): 7123 K((x * (y / x)) \ (y * z),y) = K(K(x \ y,x) * z,y). [para(6660(a,1),7117(a,1,1))]. given #7647 (H,wt=17): 8707 K(x \ (x * y),x) = K(K(z \ x,z) * y,x). [hyper(228,a,6664,a(flip),b,7123,a(flip)),flip(a)]. given #7648 (H,wt=13): 8708 K(K(x \ y,x) * z,y) = K(z,y). [hyper(5784,a,8707,a),flip(a)]. given #7649 (H,wt=21): 7222 K(L((x \ y) \ y,z,u),w) = K(L(x,z,u),T(w,x \ y)). [para(248(a,1),7202(a,1,1))]. given #7650 (H,wt=21): 7322 K(x,R(T(x,y),z,u) / w) = K(x,w \ R(T(x,y),z,u)). [para(790(a,1),7203(a,1,1))]. given #7651 (H,wt=21): 7337 K(x,y / R(T(x,z),u,w)) = K(x,R(T(x,z),u,w) \ y). [para(790(a,1),7217(a,1,1))]. given #7652 (H,wt=19): 8713 K(x,y / R(T(x,z),u,w)) = K(x,R(x,u,w) \ y). [hyper(228,a,8438,a(flip),b,7337,a)]. given #7653 (H,wt=21): 7422 (K(x,y) * z) * R(x,u,w) = K(x,y) * (z * R(x,u,w)). [para(7417(a,1),451(a,1,2,1))]. given #7654 (H,wt=13): 8715 R(K(x,y),z,R(x,u,w)) = K(x,y). [hyper(476,a,7422,a)]. given #7655 (H,wt=13): 8719 K(R(x,y,R(x,z,u)),w) = K(x,w). [hyper(228,a,6734,a(flip),b,8715,a(flip)),flip(a)]. given #7656 (H,wt=19): 8721 x * K(y,R(z,u,R(z,w,v5))) = (K(z,y) / x) \ 1. [para(8719(a,1),4896(a,1,1,1)),flip(a)]. given #7657 (H,wt=13): 8723 K(x,R(y,z,R(y,u,w))) = K(x,y). [hyper(17,a,4896,a(flip),b,8721,a)]. given #7658 (H,wt=19): 8724 K(T(x,y),T(z,y)) = K(x,R(z,u,R(T(z,y),w,v5))). [hyper(7975,a,8723,a),flip(a)]. given #7659 (H,wt=15): 8725 K(x,R(y,z,R(T(y,u),w,v5))) = K(x,y). [hyper(7962,a,8724,a),flip(a)]. given #7660 (H,wt=21): 7423 (K(x,y) * z) * L(x,u,w) = K(x,y) * (z * L(x,u,w)). [para(7417(a,1),452(a,1,2,1))]. given #7661 (H,wt=13): 8728 R(K(x,y),z,L(x,u,w)) = K(x,y). [hyper(476,a,7423,a)]. given #7662 (H,wt=13): 8729 K(R(x,y,L(x,z,u)),w) = K(x,w). [hyper(228,a,6734,a(flip),b,8728,a(flip)),flip(a)]. given #7663 (H,wt=19): 8730 K(T(x,y),T(z,y)) = K(R(x,u,L(T(x,y),w,v5)),z). [hyper(7969,a,8729,a),flip(a)]. given #7664 (H,wt=15): 8731 K(R(x,y,L(T(x,z),u,w)),v5) = K(x,v5). [hyper(7962,a,8730,a),flip(a)]. given #7665 (H,wt=19): 8733 T(x,R(y,z,L(T(y,u),w,v5))) = (K(y,x) / x) \ 1. [para(8731(a,1),4667(a,2,1,1))]. given #7666 (H,wt=15): 8734 T(x,R(y,z,L(T(y,u),w,v5))) = T(x,y). [hyper(228,a,4667,a,b,8733,a)]. given #7667 (H,wt=21): 7448 K(x * (y / R(z,u,z)),z) = K(x * (R(z,u,z) \ y),z). [para(7088(a,1),7252(a,1,1,2)),flip(a)]. given #7668 (H,wt=20): 8735 K(x * (R(y,z,y) \ u),y) = K(x * (u / T(y,z)),y). [hyper(228,a,7508,a(flip),b,7448,a(flip))]. given #7669 (H,wt=14): 8736 K(x * (R(x,y,x) \ z),x) = K(z,x). [hyper(228,a,7366,a(flip),b,8735,a)]. given #7670 (H,wt=14): 8737 K(R(x,y,x) * z,x) = K(x * z,x). [para(13(a,1),8736(a,1,1,2)),flip(a)]. given #7671 (H,wt=14): 8738 K(x * R(y,z,y),y) = K(y * x,y). [hyper(228,a,7403,a(flip),b,8737,a(flip)),flip(a)]. given #7672 (H,wt=18): 8739 T(x,y * R(x,z,x)) = 1 / (x \ K(x * y,x)). [para(8738(a,1),4806(a,2,2,2))]. given #7673 (H,wt=14): 8740 T(x,y * R(x,z,x)) = T(x,x * y). [hyper(228,a,4806,a,b,8739,a)]. given #7674 (H,wt=16): 8741 T(x,y * R(x,z,x)) = x * K(x,x * y). [hyper(228,a,4705,a(flip),b,8740,a)]. given #7675 (H,wt=14): 8742 K(x,y * R(x,z,x)) = K(x,x * y). [hyper(4771,a,8741,a)]. given #7676 (H,wt=14): 8743 K(x,R(x,y,x) * z) = K(x,x * z). [hyper(228,a,7400,a,b,8742,a(flip)),flip(a)]. given #7677 (H,wt=17): 8744 K(R(x,y,x),R(x,z,x) * u) = K(x,x * u). [hyper(7376,a,8743,a)]. given #7678 (H,wt=21): 7466 (L(x,y,z) * u) * K(w,x) = L(x,y,z) * (u * K(w,x)). [para(7463(a,1),482(a,1,1,1)),flip(a)]. given #7679 (H,wt=13): 8745 L(K(x,y),z,L(y,u,w)) = K(x,y). [hyper(445,a,7466,a)]. given #7680 (H,wt=13): 8746 K(L(x,y,L(z,u,w)),z) = K(x,z). [hyper(6346,a,8745,a)]. given #7681 (H,wt=13): 8747 K(x,L(y,z,L(y,u,w))) = K(x,y). [hyper(228,a,6315,a(flip),b,8745,a(flip)),flip(a)]. given #7682 (H,wt=21): 7497 R(K(x,T(y,z)),x * u,w) = K(R(x,u,w),T(y,x \ z)). [para(7492(a,1),6734(a,1,1))]. given #7683 (H,wt=19): 8749 K(R(x,y,z),T(u,x \ w)) = K(R(x,y,z),T(u,w)). [hyper(228,a,6734,a(flip),b,7497,a(flip))]. given #7684 (H,wt=19): 8751 K(R(x,y,z),T(u,x * w)) = K(R(x,y,z),T(u,w)). [para(13(a,1),8749(a,1,2,2)),flip(a)]. given #7685 (H,wt=21): 7500 K(R(T(x,y),z,u),L(y,w,v5)) = K(R(x,z,u),L(y,w,v5)). [para(42(a,2),7220(a,1,1))]. given #7686 (H,wt=21): 7514 (x * L(y,z,y)) / T(T(x,y),u) = K(u,x) * L(y,z,y). [para(7079(a,1),7278(a,1,2,1))]. given #7687 (H,wt=21): 7525 K(x,y / (z / R(x,u,w))) = K(x,y / (R(x,u,w) \ z)). [para(5230(a,1),7524(a,1,2))]. given #7688 (H,wt=21): 7537 K(x,y \ (x \ (y * z))) != u | L(K(x,x \ z),z,y) = u. [para(7408(a,1),6378(a,1))]. given #7689 (H,wt=21): 7577 T(K(x,y) * L(z,u,w),x) = K(x,y) * L(T(z,x),u,w). [para(40(a,2),7542(a,2,2))]. given #7690 (H,wt=21): 7613 T(x,y) / T(R(x,z,u),w) = T(R(x,z,u),w) \ T(x,y). [para(4503(a,1),7601(a,1,2,1))]. given #7691 (H,wt=21): 7652 K(x,T(y,z / R(x,u,w))) = K(x,T(y,R(x,u,w) \ z)). [para(115(a,1),7556(a,1,2,2)),flip(a)]. given #7692 (H,wt=21): 7661 T(x / y,z) * T(y,K(x / y,z)) = x * K(x / y,z). [hyper(228,a,87,a(flip),b,7006,a)]. given #7693 (H,wt=21): 7671 T(T(x,1 / y),K(1 / y,z)) = x * K(x,1 / T(y,z)). [para(5816(a,2),7665(a,2,2))]. given #7694 (H,wt=19): 8755 T(T(x,1 / y),K(1 / y,z)) = T(x,1 / T(y,z)). [hyper(228,a,4705,a,b,7671,a)]. given #7695 (H,wt=18): 8757 T(x,1 / T(y,z)) != u | T(x,T(1 / y,z)) = u. [para(8755(a,1),7672(a,1))]. given #7696 (H,wt=19): 8756 T(T(x,1 / y),K(z,1 / y)) = T(x,1 / T(y,z)). [hyper(7801,a,8755,a)]. given #7697 (H,wt=21): 7679 R(T(x / y,K(y,x)),z,x / y) = R(x / y,z,y \ x). [para(7511(a,2),7051(a,1,1))]. given #7698 (H,wt=21): 7708 K(K(R(x \ 1,y,z) \ 1,u),w) = R(K(x,K(u,w)),y,z). [hyper(228,a,6122,a(flip),b,7693,a)]. given #7699 (H,wt=17): 8759 R(K(x,K(y,z)),u,w) = K(R(K(x,y),u,w),z). [para(6122(a,1),7708(a,1,1)),flip(a)]. given #7700 (H,wt=21): 7709 R(K(K(x,y),z \ 1),u,w) = K(x,K(y,R(z,u,w) \ 1)). [hyper(228,a,6902,a,b,7693,a(flip)),flip(a)]. given #7701 (H,wt=21): 7743 K(x,K(R(y \ 1,z,u) \ 1,w)) = K(R(K(y,x),z,u),w). [para(6122(a,1),7727(a,1,1)),flip(a)]. given #7702 (H,wt=17): 8761 K(R(K(x,y),z,u),w) = K(y,R(K(x,w),z,u)). [para(6122(a,1),7743(a,1,2)),flip(a)]. given #7703 (H,wt=17): 8762 R(K(x,K(y,z)),u,w) = K(y,R(K(x,z),u,w)). [hyper(228,a,8759,a,b,8761,a(flip)),flip(a)]. given #7704 (H,wt=17): 8763 R(K(x,K(y,z)),u,w) = K(x,R(K(y,z),u,w)). [para(7723(a,1),8762(a,1,1))]. given #7705 (H,wt=19): 8764 x * R(K(x,K(y,z)),u,w) = T(x,R(K(y,z),u,w)). [para(8763(a,2),4705(a,2,2)),flip(a)]. given #7706 (H,wt=21): 7784 K(x,K(y,z)) * (y * K(z,u)) = T(y * K(z,u),K(x,z)). [para(7255(a,1),7730(a,1,1,2))]. given #7707 (H,wt=19): 8765 T(x * K(y,z),K(u,y)) = T(x,K(u,y)) * K(y,z). [hyper(7733,a,7784,a),flip(a)]. given #7708 (H,wt=19): 8766 T(K(x,y) * z,K(u,y)) = K(x,y) * T(z,K(u,y)). [hyper(6589,a,8765,a),flip(a)]. given #7709 (H,wt=19): 8767 T(K(x,y) * z,K(u,y)) = K(x,y) * T(z,K(y,u)). [para(7785(a,1),8766(a,2,2))]. given #7710 (H,wt=19): 8768 T(K(x,y) * z,K(y,u)) = K(x,y) * T(z,K(y,u)). [hyper(7801,a,8767,a)]. given #7711 (H,wt=19): 8769 T(x * K(y,z),K(y,u)) = T(x,K(y,u)) * K(y,z). [hyper(6586,a,8768,a),flip(a)]. given #7712 (H,wt=17): 8772 T(x * K(y,x),K(y,z)) = x * K(y,T(x,z)). [hyper(228,a,8009,a(flip),b,8769,a)]. given #7713 (H,wt=19): 8770 K(x,y) * T(K(x,y) \ z,K(x,u)) = T(z,K(x,u)). [hyper(6585,a,8768,a)]. given #7714 (H,wt=19): 8771 T(x * K(y,z * x),K(y,z)) = K(y,z * x) * x. [hyper(228,a,8024,a(flip),b,8769,a)]. given #7715 (H,wt=19): 8773 T(x,K(y,z)) \ T(x * K(y,u),K(y,z)) = K(y,u). [hyper(71,a,8769,a,b,xx)]. given #7716 (H,wt=19): 8775 T(K(x,y) * z,K(x,u)) = K(x,y) * T(z,K(x,u)). [para(13(a,1),8770(a,1,2,1)),flip(a)]. given #7717 (H,wt=19): 8776 T(x * K(y,z),K(z,u)) = T(x,K(z,u)) * K(y,z). [para(8770(a,1),6587(a,1,1)),flip(a)]. given #7718 (H,wt=19): 8779 T(x * K(y,z),K(z,u)) \ T(x,K(z,u)) = K(z,y). [para(5062(a,1),8773(a,1,2,1))]. given #7719 (H,wt=20): 8774 T(x * K(y,x),K(y,z)) != x * u | K(y,T(x,z)) = u. [para(8772(a,2),19(a,1))]. given #7720 (H,wt=21): 7864 R(K(x,y),T(y,z) * u,w) = K(T(x,z),R(T(y,z),u,w)). [para(7829(a,1),6923(a,1,1))]. given #7721 (H,wt=17): 8783 R(K(x,y),T(y,z) * u,w) = K(x,R(y,u,w)). [hyper(228,a,7850,a(flip),b,7864,a)]. given #7722 (H,wt=17): 8786 K(x,R(y,T(y,z) \ u,w)) = R(K(x,y),u,w). [para(14(a,1),8783(a,1,2)),flip(a)]. given #7723 (H,wt=17): 8787 R(K(x,y),K(z,y) * u,w) = R(K(x,y),u,w). [hyper(6953,a,8786,a)]. given #7724 (H,wt=17): 8790 R(K(x,y),K(y,z) * u,w) = R(K(x,y),u,w). [para(5042(a,1),8787(a,1,2)),flip(a)]. given #7725 (H,wt=20): 8784 R(K(x,y),T(y,z) * u,w) != v5 | K(x,R(y,u,w)) = v5. [para(7864(a,2),7975(a,1))]. given #7726 (H,wt=18): 8792 R(K(x,y),y * z,u) != w | K(x,R(y,z,u)) = w. [para(112(a,1),8784(a,1,2,1))]. given #7727 (H,wt=21): 7867 (x / y) * T(K(y \ x,y),z) = (y \ x) * K(z,K(y,x)). [para(7807(a,1),6000(a,2,2))]. given #7728 (H,wt=21): 7895 K(x \ (K(y,z) * u),T(y,u)) = K((K(y,z) * u) / x,y). [para(7288(a,1),7831(a,1,2))]. given #7729 (H,wt=17): 8794 K(x \ y,T(z,y)) = K((K(z,u) * y) / x,z). [hyper(228,a,8570,a(flip),b,7895,a(flip)),flip(a)]. given #7730 (H,wt=15): 8795 K((K(x,y) * z) / u,x) = K(z / u,x). [hyper(7963,a,8794,a),flip(a)]. given #7731 (H,wt=19): 8797 K(x,(K(x,y) * z) / u) = (w * K(z / u,x)) \ w. [para(8795(a,1),5037(a,1,1,2)),flip(a)]. given #7732 (H,wt=15): 8798 K(x,(K(x,y) * z) / u) = K(x,z / u). [hyper(228,a,5037,a(flip),b,8797,a)]. given #7733 (H,wt=17): 8799 K(x,(y * T(x,z)) / u) = K(x,(y * x) / u). [para(8225(a,1),8798(a,1,2,1))]. given #7734 (H,wt=20): 8800 K(x,(y * T(x,z)) / u) != w | K(x,y / (x \ u)) = w. [para(8799(a,2),8349(a,1))]. given #7735 (H,wt=21): 7904 K((x * K(y,z)) \ u,T(y,x)) = K(u / (x * K(y,z)),y). [para(7057(a,1),7837(a,1,2))]. given #7736 (H,wt=17): 8801 K(x \ y,T(z,x)) = K(y / (x * K(z,u)),z). [hyper(228,a,8561,a(flip),b,7904,a(flip)),flip(a)]. given #7737 (H,wt=15): 8802 K(x / (y * K(z,u)),z) = K(x / y,z). [hyper(7964,a,8801,a),flip(a)]. given #7738 (H,wt=19): 8804 K(x / ((y * K(z,u)) * w),u) = K(x / (y * w),u). [para(6715(a,1),8802(a,1,1,2)),flip(a)]. given #7739 (H,wt=19): 8805 K(x / ((K(y,z) * u) * w),z) = K(x / (u * w),z). [para(7205(a,1),8804(a,1,1,2,1))]. given #7740 (H,wt=19): 8806 K(x / ((K(y,z) * u) * w),y) = K(x / (u * w),y). [para(7206(a,1),8804(a,1,1,2,1)),flip(a)]. given #7741 (H,wt=21): 7913 K(x,T(L(y,z,u),w / y)) = K(x,L(w / (w / y),z,u)). [para(796(a,1),7843(a,1,2)),flip(a)]. given #7742 (H,wt=21): 7919 K(T(x,y),(y * K(z,x)) \ u) = K(x,u / (y * K(z,x))). [para(7065(a,1),7851(a,1,1))]. given #7743 (H,wt=17): 8809 K(T(x,y),y \ z) = K(x,z / (y * K(u,x))). [hyper(228,a,8619,a(flip),b,7919,a(flip)),flip(a)]. given #7744 (H,wt=15): 8810 K(x,y / (z * K(u,x))) = K(x,y / z). [hyper(7976,a,8809,a),flip(a)]. given #7745 (H,wt=15): 8813 K(x,y / (z * K(x,u))) = K(x,y / z). [para(5062(a,1),8810(a,1,2,2)),flip(a)]. given #7746 (H,wt=17): 8812 K(x,y / (z * T(u,x))) = K(x,y / (z * u)). [para(1385(a,1),8810(a,1,2,2))]. given #7747 (H,wt=19): 8814 K(x,y / ((z * K(u,x)) * w)) = K(x,y / (z * w)). [para(6715(a,1),8813(a,1,2,2)),flip(a)]. given #7748 (H,wt=19): 8815 K(x,y / ((z * x) * u)) = K(x,y / ((x * z) * u)). [para(93(a,1),8814(a,1,2,2,1))]. given #7749 (H,wt=19): 8816 K(x,y / (((x \ z) * x) * u)) = K(x,y / (z * u)). [para(239(a,1),8814(a,1,2,2,1))]. given #7750 (H,wt=19): 8817 K(x,y / ((K(z,x) * u) * w)) = K(x,y / (u * w)). [para(7205(a,1),8814(a,1,2,2,1))]. given #7751 (H,wt=19): 8818 K(x,y / ((K(x,z) * u) * w)) = K(x,y / (u * w)). [para(7206(a,1),8814(a,1,2,2,1)),flip(a)]. given #7752 (H,wt=21): 7920 ((x * ((y * z) / y)) / x) / ((x * z) / x) = K(T(y,x),z). [hyper(228,a,4851,a,b,7852,a(flip)),flip(a)]. given #7753 (H,wt=21): 7924 K(x * K(y \ (x * z),x),u) = K(x,T(u,y \ (z * x))). [para(7586(a,1),7858(a,1,1,2))]. given #7754 (H,wt=19): 8821 K(x,T(y,z \ (u * x))) = K(x,T(y,z \ (x * u))). [hyper(8159,a,7924,a),flip(a)]. given #7755 (H,wt=21): 7947 K(x,x \ y) * K(z,T(x,y)) = T(y / (y / x),z) \ x. [para(7936(a,1),6804(a,1,2))]. given #7756 (H,wt=21): 7978 K(x,K(y,T(z,u))) \ K(y,x) = T(K(y,x),T(z,y \ u)). [para(7492(a,1),7696(a,1,1,2))]. given #7757 (H,wt=17): 8822 T(K(x,y),T(z,x \ u)) = T(K(x,y),T(z,u)). [hyper(7699,a,7978,a),flip(a)]. given #7758 (H,wt=17): 8823 T(K(x,y),T(z,x * u)) = T(K(x,y),T(z,u)). [para(13(a,1),8822(a,1,2,2)),flip(a)]. given #7759 (H,wt=21): 8037 (x * (K(y,z) * K(x,u))) * K(z,y) = T(x,T(u,K(y,z))). [hyper(5064,a,7887,a)]. given #7760 (H,wt=21): 8041 T(x,R((y * z) / y,u,w)) = x * K(T(x,y),R(z,u,w)). [para(792(a,2),7921(a,1,2))]. given #7761 (H,wt=21): 8104 (T(x * y,K(z,u)) / y) / x = K(z,K(u,(1 / y) / x)). [hyper(228,a,5868,a(flip),b,8097,a(flip)),flip(a)]. given #7762 (H,wt=21): 8129 T(T(x,y),K(y,z / u)) = T(x,T(y,(z * (u \ 1)) \ 1)). [hyper(228,a,6074,a(flip),b,8120,a(flip)),flip(a)]. given #7763 (H,wt=19): 8826 T(x,T(y,(z * (u \ 1)) \ 1)) = T(x,T(y,z / u)). [hyper(7672,a,8129,a),flip(a)]. given #7764 (H,wt=17): 8827 T(x,T(y,z * (u \ 1))) = T(x,T(y,z / u)). [hyper(8130,a,8826,a)]. given #7765 (H,wt=19): 8828 T(x,T(y,z * (u \ 1))) = x * K(x,T(y,z / u)). [hyper(228,a,4705,a(flip),b,8827,a)]. given #7766 (H,wt=17): 8829 K(x,T(y,z * (u \ 1))) = K(x,T(y,z / u)). [hyper(4771,a,8828,a)]. given #7767 (H,wt=21): 8209 (x * y) * K(x,K(z,T(u,y))) = K(x,K(z,u)) * (x * y). [para(7152(a,2),7499(a,1,2,2))]. given #7768 (H,wt=17): 8830 K(x,K(y,T(z,x * u))) = K(x,K(y,T(z,u))). [hyper(17,a,7291,a,b,8209,a),flip(a)]. given #7769 (H,wt=17): 8831 K(x,K(y,T(z,x \ u))) = K(x,K(y,T(z,u))). [para(14(a,1),8830(a,1,2,2,2)),flip(a)]. given #7770 (H,wt=21): 8234 (x * T(y,z \ y)) / T(x,y) = T(y,T(y * (z \ 1),x)). [para(1713(a,1),8230(a,1,1,2))]. given #7771 (H,wt=17): 8832 T(x,T(x * (y \ 1),z)) = T(x,T(y \ x,z)). [hyper(8233,a,8234,a),flip(a)]. given #7772 (H,wt=21): 8236 K(x * K(T(x,y),z),T(u,y)) = K(K(y,x) * T(x,z),u). [para(7604(a,1),7829(a,1,1))]. given #7773 (H,wt=21): 8239 x / R(y * K(z,y),u,y) = (x / R(y,u,y)) * K(y,z). [para(7681(a,2),6654(a,1,2))]. given #7774 (H,wt=21): 8242 K(R(K(x,y) * z,u,w),y) = K(R(z * K(x,y),u,w),y). [para(5987(a,1),7689(a,1,1,1)),flip(a)]. given #7775 (H,wt=21): 8249 K(R(x / (x / y),z,u),w) = K(R(y,z,u),T(w,y \ x)). [para(3909(a,1),7839(a,1,1,1)),flip(a)]. given #7776 (H,wt=19): 8833 K(R(x / (x / y),z,u),w) = K(R(y,z,u),T(w,x)). [hyper(228,a,8749,a(flip),b,8249,a)]. given #7777 (H,wt=21): 8252 L(K(T(x,y),T(z,y)),u,w) = K(L(x,u / T(x,y),w),z). [hyper(6386,a,7840,a)]. given #7778 (H,wt=17): 8835 K(L(x,y / T(x,z),u),w) = L(K(x,w),y,u). [para(7829(a,1),8252(a,1,1)),flip(a)]. given #7779 (H,wt=15): 8837 L(K(x,y),x * z,u) = K(L(x,z,u),y). [para(137(a,1),8835(a,1,1,2)),flip(a)]. given #7780 (H,wt=13): 8841 K(L(x,y,z),y) = K(x,L(y,x,z)). [hyper(228,a,6315,a(flip),b,8837,a(flip))]. given #7781 (H,wt=14): 8840 K(L(x,y,z),x * y) = K(x,x * y). [hyper(6613,a,8837,a),flip(a)]. given #7782 (H,wt=15): 8838 K(L(x,x \ y,z),u) = L(K(x,u),y,z). [para(199(a,1),8835(a,1,1,2))]. given #7783 (H,wt=12): 8844 L(K(x,y),K(z,x),u) = K(x,y). [hyper(228,a,8347,a(flip),b,8838,a(flip))]. given #7784 (H,wt=15): 8845 K(L(x,x \ 1,y),z) != u | K(x,z) = u. [para(8838(a,2),334(a,1)),flip(b)]. given #7785 (H,wt=15): 8850 L(K(x,y),L(K(z,x),u,w),v5) = K(x,y). [para(6128(a,1),8844(a,1,2))]. given #7786 (H,wt=17): 8836 L(K(x,y),z * T(x,u),w) = K(L(x,z,w),y). [para(15(a,1),8835(a,1,1,2)),flip(a)]. given #7787 (H,wt=17): 8852 K(L(x,y * K(x,z),u),w) = K(L(x,y,u),w). [hyper(6347,a,8836,a)]. given #7788 (H,wt=19): 8847 (x * K(y,z)) * K(z,u) = x * (K(y,z) * K(z,u)). [para(8844(a,1),100(a,1,2))]. given #7789 (H,wt=10): 8856 R(x,K(y,z),K(z,u)) = x. [hyper(476,a,8847,a)]. given #7790 (H,wt=12): 8859 R(x,T(K(y,z),u),K(z,w)) = x. [para(2034(a,1),8856(a,1,2))]. given #7791 (H,wt=13): 8861 R(x,L(K(y,z),u,w),K(z,v5)) = x. [para(6128(a,1),8856(a,1,2))]. given #7792 (H,wt=14): 8863 R(x,T(K(y,z),u),T(K(z,w),v5)) = x. [para(5810(a,1),8859(a,1,3))]. given #7793 (H,wt=17): 8862 (x * y) \ (y * T(x,z)) = K(y,x) * K(x,z). [para(8856(a,1),5252(a,1,1))]. given #7794 (H,wt=16): 8867 K(x,y) * K(y,y \ x) = a(y,x / y,y). [hyper(228,a,3973,a(flip),b,8862,a(flip))]. given #7795 (H,wt=15): 8870 x \ R(x,x \ y,x) = a(x,y / x,x). [hyper(228,a,5775,a,b,8867,a(flip)),flip(a)]. given #7796 (H,wt=15): 8873 a(x,(x * y) / x,x) = x \ R(x,y,x). [para(13(a,1),8870(a,1,2,2)),flip(a)]. given #7797 (H,wt=13): 8874 x \ R(x,T(y,x),x) = a(x,y,x). [para(166(a,1),8873(a,1,2)),flip(a)]. given #7798 (H,wt=11): 8875 x \ R(x,y,x) = a(x,y,x). [para(4153(a,1),8874(a,1,2))]. given #7799 (H,wt=11): 8879 R(x,y,x) / x = a(x,y,x). [hyper(228,a,3517,a,b,8875,a(flip)),flip(a)]. given #7800 (H,wt=11): 8880 x * a(x,y,x) = R(x,y,x). [para(8875(a,1),14(a,1,2))]. given #7801 (H,wt=11): 8882 a(x,y,x) * x = R(x,y,x). [para(8875(a,1),3518(a,1,1))]. given #7802 (H,wt=14): 8876 K(x * y,x) * K(x,y) = a(x,y,x). [hyper(5742,a,8875,a)]. given #7803 (H,wt=14): 8877 K(x,y) * K(x * y,x) = a(x,y,x). [hyper(5719,a,8875,a)]. given #7804 (H,wt=14): 8881 x * a(x,y,x) != z | R(x,y,x) = z. [para(8875(a,1),213(a,1,2)),flip(b)]. given #7805 (H,wt=14): 8883 T(x * y,x) / x = y * a(x,y,x). [para(8875(a,1),6182(a,1,2)),flip(a)]. given #7806 (H,wt=14): 8888 x \ R(x,y,x) != z | a(x,y,x) = z. [para(8880(a,1),284(a,1,2)),flip(b)]. given #7807 (H,wt=14): 8890 K(x,x * y) * a(x,y,x) = K(x,y). [hyper(5071,a,8876,a)]. given #7808 (H,wt=14): 8891 a(x,y,x) * K(y,x) = K(x * y,x). [hyper(5064,a,8876,a)]. given #7809 (H,wt=14): 8893 (x * y) \ T(y * x,y) = a(y,x,y). [hyper(6279,a,8877,a)]. given #7810 (H,wt=14): 8894 K(x,y) * a(y,x,y) = K(y * x,y). [hyper(5071,a,8877,a)]. given #7811 (H,wt=14): 8896 a(x,y,x) * (y * x) = T(x * y,x). [para(8877(a,1),6287(a,1,1))]. given #7812 (H,wt=14): 8907 a(x,y,x) * K(y,x) = K(y * x,x). [hyper(228,a,5647,a,b,8891,a)]. given #7813 (H,wt=14): 8910 (x * y) * a(y,x,y) = T(y * x,y). [para(8893(a,1),14(a,1,2))]. given #7814 (H,wt=14): 8911 K(x,y) * a(y,x,y) = K(x * y,y). [hyper(228,a,5647,a,b,8894,a)]. given #7815 (H,wt=15): 8878 T(x,y) \ R(T(x,y),z,x) = a(x,z,x). [hyper(228,a,7541,a,b,8875,a(flip)),flip(a)]. given #7816 (H,wt=15): 8886 T(x,y) * a(x,z,x) = R(T(x,y),z,x). [para(8875(a,1),7540(a,1,2))]. given #7817 (H,wt=15): 8913 a(x,y,x) * T(x,z) = R(T(x,z),y,x). [para(8878(a,1),3518(a,1,1))]. given #7818 (H,wt=16): 8871 a(x,y / x,x) \ K(y,x) = K(x \ y,x). [para(8867(a,1),5037(a,1,1))]. given #7819 (H,wt=16): 8872 a(x,y / x,x) * K(x,y) = K(x,x \ y). [para(8867(a,1),5082(a,1,1))]. given #7820 (H,wt=16): 8898 (x \ y) * a(x,x \ y,x) = T(y,x) / x. [para(14(a,1),8883(a,1,1,1)),flip(a)]. given #7821 (H,wt=16): 8899 T(x * a(y,x,y),y) = y \ T(y * x,y). [para(8883(a,1),115(a,1,1))]. given #7822 (H,wt=16): 8905 K(x,y) * a(x,x \ y,x) = K(x,x \ y). [para(14(a,1),8890(a,1,1,2))]. given #7823 (H,wt=16): 8914 a(x,x \ y,x) = T(x,y) \ ((x \ y) \ y). [para(4004(a,1),8878(a,1,2)),flip(a)]. given #7824 (H,wt=17): 8866 (x * y) \ (y * T(x,z)) = K(x,z) * K(y,x). [hyper(228,a,1757,a,b,8862,a)]. given #7825 (H,wt=17): 8884 a(x,x \ (y \ x),x) = x \ R(x,y \ 1,x). [para(6295(a,1),8875(a,1,2)),flip(a)]. given #7826 (H,wt=15): 8916 a(x,x \ (y \ x),x) = a(x,y \ 1,x). [hyper(228,a,8875,a(flip),b,8884,a)]. given #7827 (H,wt=17): 8887 x \ R(T(x,y),z,x) = K(x,y) * a(x,z,x). [para(8875(a,1),7041(a,1,2)),flip(a)]. given #7828 (H,wt=17): 8892 a(x,y,x) * K(y,x) != z | K(x * y,x) = z. [para(8876(a,1),5065(a,1,1)),flip(b)]. given #7829 (H,wt=17): 8895 a(x,y,x) \ K(x,y) != z | K(x,x * y) = z. [para(8877(a,1),5085(a,1,1))]. given #7830 (H,wt=17): 8903 K(x,y) * K(x * y,x) != z | a(x,y,x) = z. [para(5325(a,2),8888(a,1))]. given #7831 (H,wt=17): 8904 K(x * y,x) * K(x,y) != z | a(x,y,x) = z. [para(5740(a,2),8888(a,1))]. given #7832 (H,wt=19): 8854 (x * K(y,z)) * K(u,y) = x * (K(u,y) * K(y,z)). [hyper(6723,a,8847,a)]. given #7833 (H,wt=19): 8855 (x * (K(y,z) * K(z,u))) * K(u,z) = x * K(y,z). [hyper(5064,a,8847,a)]. given #7834 (H,wt=19): 8858 (x * K(y,z)) * K(z,u) = x * (K(z,u) * K(y,z)). [para(1757(a,2),8847(a,2,2))]. given #7835 (H,wt=19): 8920 (x * K(y,z)) * K(u,y) = x * (K(y,z) * K(u,y)). [para(1757(a,2),8854(a,2,2))]. given #7836 (H,wt=10): 8928 R(x,K(y,z),K(u,y)) = x. [hyper(476,a,8920,a)]. given #7837 (H,wt=12): 8929 L(K(x,y),K(y,z),u) = K(x,y). [hyper(445,a,8920,a)]. given #7838 (H,wt=16): 8936 L(K(x,T(y,z)),K(y,u),w) = K(x,T(y,z)). [para(7829(a,1),8929(a,1,2))]. given #7839 (H,wt=19): 8921 (x * (K(y,z) * K(z,u))) \ (x * T(z,u)) = T(z,y). [para(8854(a,1),5226(a,1,1))]. given #7840 (H,wt=19): 8923 (x * (K(y,z) * K(u,y))) * K(z,y) = x * K(u,y). [para(1757(a,2),8855(a,1,1,2))]. given #7841 (H,wt=19): 8927 (x * K(y,z)) \ (x * K(y,u)) = K(y,u) * K(z,y). [hyper(6719,a,8920,a)]. given #7842 (H,wt=19): 8931 (x * K(y,z)) * (K(z,y) * K(u,z)) = x * K(u,z). [para(5062(a,1),8920(a,1,1)),flip(a)]. given #7843 (H,wt=19): 8940 (x * (K(y,z) * K(u,y))) * (K(z,y) * K(y,u)) = x. [hyper(18,a,8855,a,b,8923,a(flip)),flip(a)]. given #7844 (H,wt=19): 8942 x / (K(y,z) * K(u,y)) = x * (K(z,y) * K(y,u)). [hyper(300,a,8940,a),flip(a)]. given #7845 (H,wt=19): 8943 x / (K(y,z) * K(z,u)) = x * (K(z,y) * K(u,z)). [hyper(85,a,8940,a)]. given #7846 (H,wt=19): 8944 x / (K(y,z) * K(z,u)) = x * (K(u,z) * K(z,y)). [para(1757(a,1),8942(a,1,2))]. given #7847 (H,wt=20): 8857 x * (K(y,z) * K(z,z * y)) = (x / R(z,y,z)) * z. [hyper(228,a,6652,a(flip),b,8847,a(flip))]. given #7848 (H,wt=17): 8945 (x / R(y,z,y)) * y = x * (y \ L(y,z,y)). [para(5741(a,1),8857(a,1,2)),flip(a)]. given #7849 (H,wt=13): 8946 R(x,y,x) \ x = x \ L(x,y,x). [hyper(8201,a,8945,a)]. given #7850 (H,wt=15): 8947 x \ (x \ L(x,y,x)) = R(x,y,x) \ 1. [hyper(71,a,8946,a(flip),b,1225,a)]. given #7851 (H,wt=20): 8868 (x * y) \ (y * T(x,z)) != u | K(x,z) * K(y,x) = u. [para(8862(a,2),1764(a,1))]. given #7852 (H,wt=21): 8256 L(K(T(x,y),T(z,y)),u,w) = K(x,L(z,u / T(z,y),w)). [hyper(6323,a,7849,a)]. given #7853 (H,wt=17): 8949 K(x,L(y,z / T(y,u),w)) = L(K(x,y),z,w). [para(7829(a,1),8256(a,1,1)),flip(a)]. given #7854 (H,wt=15): 8950 L(K(x,y),y * z,u) = K(x,L(y,z,u)). [para(137(a,1),8949(a,1,2,2)),flip(a)]. given #7855 (H,wt=14): 8954 K(x * y,L(x,y,z)) = K(x * y,x). [hyper(5513,a,8950,a),flip(a)]. given #7856 (H,wt=15): 8951 K(x,L(y,y \ z,u)) = L(K(x,y),z,u). [para(199(a,1),8949(a,1,2,2))]. given #7857 (H,wt=16): 8958 K(x,L(y,x,z)) != u | K(L(x,y,z),y) = u. [para(8950(a,1),6346(a,1))]. given #7858 (H,wt=17): 8956 L(K(x,y / z),y,u) = K(x,L(y / z,z,u)). [para(16(a,1),8950(a,1,2))]. given #7859 (H,wt=21): 8260 K(K(x,y) * T(y,z),T(u,z)) = K(y * K(T(x,z),y),u). [para(7863(a,1),7829(a,1,1))]. given #7860 (H,wt=19): 8960 K(K(x,y) * T(y,z),T(u,z)) = K(y,T(u,T(x,z))). [hyper(228,a,7858,a(flip),b,8260,a)]. given #7861 (H,wt=21): 8270 T(x,K(y,z / y) / (z \ y)) = T(x,T(1 / (z \ y),y)). [para(5171(a,1),7945(a,1,2,1))]. given #7862 (H,wt=21): 8274 K(x * T(y,z),T(u,K(y,z))) = K(K(y,z) * (x * y),u). [para(8012(a,1),7202(a,1,1)),flip(a)]. given #7863 (H,wt=21): 8279 T(x,y) * T(x \ K(x,z),x) = (x \ K(x,z)) * T(x,y). [para(8052(a,1),113(a,1,2))]. given #7864 (H,wt=21): 8289 (K(x,y) * T(x,K(z,u))) \ x = K(z,K(u,x)) * K(y,x). [para(7693(a,1),8259(a,2,1))]. given #7865 (H,wt=21): 8295 K(x,y) * T(z,T(z * x,y)) = T(z,x * z) * K(x,y). [para(8275(a,1),182(a,1,2))]. given #7866 (H,wt=21): 8300 K(L(x,y,z),(x \ u) \ w) = K(L(x,y,z),u \ (x * w)). [para(458(a,1),8298(a,1,2)),flip(a)]. given #7867 (H,wt=21): 8351 L(K(x,x \ y),y,z) != u | K(x,z \ (x \ (z * y))) = u. [para(6297(a,2),8322(a,1))]. given #7868 (H,wt=21): 8359 L(K(x \ y,x),y,z) != u | K(z \ (x \ (z * y)),x) = u. [para(6326(a,2),8353(a,1))]. given #7869 (H,wt=21): 8406 K(x,y) * K(x,K(y,z \ u)) = K(x,T(y,(y \ z) \ u)). [hyper(228,a,7706,a,b,8403,a),flip(a)]. given #7870 (H,wt=21): 8439 (((x \ y) * x) * z) \ (y * z) = K(x,z \ (x \ (y * z))). [para(15(a,1),7409(a,1,1,1,1,2))]. given #7871 (H,wt=21): 8441 (x * y) * K(z,x \ (z \ (x * y))) = x * (z * (y / z)). [hyper(228,a,4499,a(flip),b,7411,a(flip))]. given #7872 (H,wt=21): 8447 (x * y) * K(x \ (z \ (x * y)),z) = x * ((z \ y) * z). [para(13(a,1),7477(a,2,2,1,2))]. given #7873 (H,wt=21): 8450 T(x,y) * (L(T(x,y),z,x) \ u) = x * (L(x,z,x) \ u). [para(7538(a,1),5007(a,1,2))]. given #7874 (H,wt=21): 8479 K(x * K(y,z),(x / u) \ 1) = K(K(y,z) * x,x \ u). [hyper(18,a,7516,a,b,7893,a),flip(a)]. given #7875 (H,wt=21): 8486 K(T(x,y * K(z,y)),u) = u / T(u,x * K(T(x,z),y)). [para(7925(a,1),4645(a,2,2))]. given #7876 (H,wt=19): 8967 K(T(x,y * K(z,y)),u) = K(x * K(T(x,z),y),u). [hyper(228,a,4645,a,b,8486,a)]. given #7877 (H,wt=21): 8499 K(x,T(T(T(x,y) * z,u),w)) = K(x,T(T(x * z,u),w)). [para(4681(a,1),8040(a,1,2,1,1)),flip(a)]. given #7878 (H,wt=21): 8500 T(K(x,y),z / (1 / y)) = K(x,1 / (z / (z / (1 / y)))). [hyper(228,a,5815,a(flip),b,8055,a(flip)),flip(a)]. given #7879 (H,wt=19): 8970 T(K(x,y),z * y) = K(x,1 / (z / (z / (1 / y)))). [hyper(228,a,5667,a(flip),b,8500,a(flip)),flip(a)]. given #7880 (H,wt=17): 8971 K(x,1 / (y / (y / (1 / z)))) = K(x,T(z,y)). [hyper(228,a,6217,a(flip),b,8970,a(flip))]. given #7881 (H,wt=21): 8531 (T(x,T(x \ y,z)) * z) \ (z * ((x \ y) \ y)) = K(z,x). [para(8232(a,1),5200(a,1,1,1))]. given #7882 (H,wt=21): 8549 T(x,y) \ ((x \ 1) \ K(z,x)) = x * (K(z,x) / T(x,y)). [para(8291(a,1),3204(a,1,2)),flip(a)]. given #7883 (H,wt=21): 8578 K(T(x,y),z \ T(x,u)) = (w * K(z \ x,T(x,y))) \ w. [para(8576(a,1),5037(a,1,1,2)),flip(a)]. given #7884 (H,wt=20): 8973 K(T(x,y),z \ T(x,u)) != w | K(x,T(z \ x,y)) = w. [para(8578(a,2),7239(a,1))]. given #7885 (H,wt=21): 8588 K((T(x,y) * z) \ u,K(x,w)) = K(w,K(z \ (x \ u),x)). [para(8586(a,1),7728(a,2,2))]. given #7886 (H,wt=21): 8595 T(x,R(T(y,y \ z),u,w)) = T(x,R(z / (z / y),u,w)). [para(3906(a,1),8487(a,1,2,1)),flip(a)]. given #7887 (H,wt=21): 8671 K(x,y \ (x \ (y * (z * x)))) != u | K(x,L(z,x,y)) = u. [para(7536(a,2),4943(a,1))]. given #7888 (H,wt=21): 8678 K(x,T(y,z / L(x,u,w))) = K(x,T(y,L(x,u,w) \ z)). [para(4738(a,1),8677(a,1,2,2))]. given #7889 (H,wt=21): 8705 T((K(x,y) * z) * K(y * x,z),y * x) = K(x,y) * z. [para(8701(a,1),4674(a,1,1,2))]. given #7890 (H,wt=21): 8711 (K(x \ y,x) * z) * K(z,y) = T(K(x \ y,x) * z,y). [para(8708(a,1),4705(a,2,2)),flip(a)]. given #7891 (H,wt=19): 8976 T(K(x \ y,x) * z,y) = K(x \ y,x) * T(z,y). [hyper(5201,a,8711,a),flip(a)]. given #7892 (H,wt=21): 8716 K(x,y) * ((y * x) * R(x,z,u)) = (x * y) * R(x,z,u). [para(4671(a,1),7422(a,1,1)),flip(a)]. given #7893 (H,wt=21): 8718 K(x,(y * R(x,z,u)) / w) = K(x,y / (w / R(x,z,u))). [hyper(228,a,6938,a(flip),b,8715,a(flip)),flip(a)]. given #7894 (H,wt=21): 8720 K(x,y) * R(x,z,R(x,u,w)) = T(R(x,z,R(x,u,w)),y). [para(8719(a,1),4712(a,2,1)),flip(a)]. given #7895 (H,wt=21): 8750 K(R(x,y,z),T(u,w)) * K(T(u,x \ w),R(x,y,z)) = 1. [hyper(70,a,8749,a,b,5075,a),flip(a)]. given #7896 (H,wt=19): 8981 K(T(x,y \ z),R(y,u,w)) = K(T(x,z),R(y,u,w)). [hyper(4908,a,8750,a),flip(a)]. given #7897 (H,wt=21): 8753 T(x,y) / T(R(x,z,u),w) = R(T(x,w),z,u) \ T(x,y). [para(42(a,2),7613(a,2,1))]. given #7898 (H,wt=21): 8754 T(x / y,z) * T(y,K(z,x / y)) = x * K(x / y,z). [para(7785(a,1),7661(a,1,2))]. given #7899 (H,wt=19): 8982 T(x / y,z) * T(y,K(x,z)) = x * K(x / y,z). [para(8021(a,1),8754(a,1,2))]. given #7900 (H,wt=21): 8760 R(K(x,K(y,z \ 1)),u,w) = K(x,K(y,R(z,u,w) \ 1)). [para(7693(a,1),7709(a,1,1))]. given #7901 (H,wt=19): 8985 R(K(x,K(y,z \ 1)),u,w) = K(x,K(y,R(z,u,w))). [hyper(228,a,8077,a(flip),b,8760,a)]. given #7902 (H,wt=17): 8987 R(K(x,K(y,z)),u,w) = K(x,K(y,R(z,u,w))). [para(8077(a,1),8985(a,1,1))]. given #7903 (H,wt=17): 8988 R(K(x,K(y,z)),u,w) = K(y,K(z,R(x,u,w))). [para(8080(a,1),8985(a,1,1))]. given #7904 (H,wt=17): 8989 K(x,R(K(y,z),u,w)) = K(x,K(y,R(z,u,w))). [hyper(228,a,8763,a(flip),b,8987,a(flip)),flip(a)]. given #7905 (H,wt=14): 8992 K(x,K(y,R(z,y,u))) = K(x,K(y,z)). [para(3854(a,1),8989(a,1,2)),flip(a)]. given #7906 (H,wt=17): 8991 K(x,R(K(y,z),u,w)) = K(x,K(z,R(y,u,w))). [hyper(228,a,8762,a(flip),b,8988,a(flip)),flip(a)]. given #7907 (H,wt=21): 8780 K(x,K(y,z)) * T(y,K(x,u)) = T(T(y,K(x,z)),K(x,u)). [para(7730(a,1),8775(a,1,1)),flip(a)]. given #7908 (H,wt=21): 8793 (x / y) * K(y \ x,T(y,z)) = (y \ x) * K(z,K(y,x)). [hyper(8350,a,7867,a)]. given #7909 (H,wt=17): 8994 (x \ y) * K(z,K(x,y)) = T(y / x,T(x,z)). [hyper(228,a,7527,a(flip),b,8793,a(flip))]. given #7910 (H,wt=17): 8995 (x \ y) * K(x,K(y,z)) = T(y / x,T(x,z)). [para(7728(a,2),8994(a,1,2))]. given #7911 (H,wt=15): 8996 T(x \ y,K(z,y)) = T(y / x,T(x,z)). [hyper(8156,a,8995,a)]. given #7912 (H,wt=19): 8997 (x \ y) / T(y / x,T(x,z)) = K(K(z,y),x \ y). [para(8996(a,1),4645(a,2,2)),flip(a)]. given #7913 (H,wt=19): 8998 (x \ y) / T(y / x,T(x,z)) = K(z,K(y,x \ y)). [hyper(228,a,7693,a(flip),b,8997,a)]. given #7914 (H,wt=19): 8999 (x \ y) / T(y / x,T(x,z)) = K(z,K(y,y / x)). [para(5108(a,2),8998(a,2,2))]. given #7915 (H,wt=17): 9000 (x \ y) / T(y / x,T(x,z)) = K(y,K(z,x)). [hyper(228,a,8061,a(flip),b,8999,a)]. given #7916 (H,wt=17): 9001 (x \ y) / T(y / x,T(x,z)) = K(x,K(y,z)). [hyper(228,a,7728,a(flip),b,9000,a)]. given #7917 (H,wt=20): 9002 (x \ y) / T(y / x,T(x,z)) != u | K(x,K(y,z)) = u. [para(9000(a,2),7742(a,1))]. given #7918 (H,wt=21): 8808 K(x / ((T(y,z) \ u) * w),y) = K(x / ((y \ u) * w),y). [para(5004(a,1),8805(a,1,1,2,1))]. given #7919 (H,wt=21): 8820 ((x * (y * K(z,y))) / x) / ((x * y) / x) = K(T(z,x),y). [para(4673(a,1),7920(a,1,1,1,2))]. given #7920 (H,wt=21): 8843 L(K(x,y),T(x,z) * u,w) = K(L(T(x,z),u,w),T(y,z)). [para(7829(a,1),8837(a,1,1))]. given #7921 (H,wt=20): 9004 L(K(x,y),T(x,z) * u,w) != v5 | K(L(x,u,w),y) = v5. [para(8843(a,2),7968(a,1))]. given #7922 (H,wt=18): 9005 L(K(x,y),x * z,u) != w | K(L(x,z,u),y) = w. [para(112(a,1),9004(a,1,2,1))]. given #7923 (H,wt=21): 8885 T(x,T(y,z)) \ R(x,u,x) = K(y,T(x,z)) * a(x,u,x). [para(8875(a,1),7232(a,1,2)),flip(a)]. given #7924 (H,wt=21): 8926 (x / y) * (K(y,z) * K(u,y)) = (x / T(y,u)) * K(y,z). [para(5205(a,1),8858(a,1,1)),flip(a)]. given #7925 (H,wt=20): 9006 (x / y) * (K(y,z) * K(y * z,y)) = x / L(y,z,y). [hyper(228,a,6649,a(flip),b,8926,a)]. given #7926 (H,wt=15): 9007 (x / y) * a(y,z,y) = x / L(y,z,y). [para(8877(a,1),9006(a,1,2))]. given #7927 (H,wt=15): 9008 (x / y) \ (x / L(y,z,y)) = a(y,z,y). [hyper(77,a,9007,a)]. given #7928 (H,wt=11): 9010 L(x,y,x) \ x = a(x,y,x). [hyper(228,a,6501,a(flip),b,9008,a(flip)),flip(a)]. given #7929 (H,wt=11): 9012 a(x,y,x) \ x = L(x,y,x). [para(9010(a,1),6502(a,1,1))]. given #7930 (H,wt=13): 9011 L(x,y,x) \ 1 = x \ a(x,y,x). [hyper(71,a,9010,a(flip),b,1364,a),flip(a)]. given #7931 (H,wt=15): 9009 (x * y) / L(y,z,y) = x * a(y,z,y). [para(15(a,1),9007(a,1,1)),flip(a)]. given #7932 (H,wt=15): 9014 (x / L(y,z,y)) * y = x * a(y,z,y). [hyper(1545,a,9009,a)]. given #7933 (H,wt=15): 9015 (x * a(y,z,y)) \ (x * y) = L(y,z,y). [para(9009(a,1),64(a,1,1))]. given #7934 (H,wt=15): 9016 x * (L(x,y,x) \ z) = z * a(x,y,x). [hyper(228,a,7446,a(flip),b,9014,a(flip)),flip(a)]. given #7935 (H,wt=15): 9017 (x * L(y,z,y)) * a(y,z,y) = x * y. [para(15(a,1),9014(a,1,1)),flip(a)]. given #7936 (H,wt=15): 9021 L(x,y,x) \ (x * z) = z * a(x,y,x). [hyper(228,a,1363,a,b,9016,a(flip)),flip(a)]. given #7937 (H,wt=15): 9023 L(x,y,x) * (z * a(x,y,x)) = x * z. [para(9021(a,1),14(a,1,2))]. given #7938 (H,wt=15): 9024 (x \ y) * a(x,z,x) = L(x,z,x) \ y. [para(14(a,1),9021(a,1,2)),flip(a)]. given #7939 (H,wt=15): 9025 x * (y / a(x,z,x)) = L(x,z,x) * y. [para(16(a,1),9023(a,1,2)),flip(a)]. given #7940 (H,wt=15): 9026 L(x,y,x) * (x \ z) = z / a(x,y,x). [hyper(17,a,1361,a,b,9025,a),flip(a)]. given #7941 (H,wt=15): 9027 (x / y) \ (x / a(y,z,y)) = L(y,z,y). [hyper(71,a,9026,a(flip),b,7678,a(flip))]. given #7942 (H,wt=16): 9019 (T(x * y,x) / x) \ (y * x) = L(x,y,x). [para(8883(a,2),9015(a,1,1))]. given #7943 (H,wt=19): 9020 T(x,y) * (L(T(x,y),z,x) \ u) = u * a(x,z,x). [hyper(228,a,8450,a,b,9016,a(flip)),flip(a)]. given #7944 (H,wt=21): 8952 L(K(x,y),T(y,z) * u,w) = K(x,L(y,K(y,z) * u,w)). [para(7518(a,1),8949(a,1,2,2)),flip(a)]. given #7945 (H,wt=21): 8959 K(x,K(y / z,L(u,y,w))) = K(x,K(u,L(y / z,z,w))). [para(8956(a,1),8506(a,1,2)),flip(a)]. given #7946 (H,wt=21): 8964 K(x,y) * T(z,T(x * z,y)) = T(z,x * z) * K(x,y). [para(4484(a,2),8295(a,1,2))]. given #7947 (H,wt=21): 8969 K(T(x,y * K(z * x,y)),u) = K(x * K(T(x,z),y),u). [para(7127(a,1),8967(a,2,1,2))]. given #7948 (H,wt=21): 8974 K((T(x,y) * z) \ u,K(x,w)) = K(x,K(w,z \ (x \ u))). [hyper(228,a,7728,a(flip),b,8588,a)]. given #7949 (H,wt=21): 8975 (K(x,y) * z) * T(y * x,z) = (y * x) * (K(x,y) * z). [para(8705(a,1),5213(a,1,2)),flip(a)]. given #7950 (H,wt=21): 8978 K(x,y) * ((y * R(x,z,u)) * x) = (x * y) * R(x,z,u). [para(1663(a,2),8716(a,1,2))]. given #7951 (H,wt=21): 8979 K(x,(y * R(x,z,u)) / w) = K(x,y / (R(x,z,u) \ w)). [hyper(228,a,7525,a(flip),b,8718,a)]. given #7952 (H,wt=21): 8980 K(x,y) * R(x,z,R(x,u,w)) = R(T(x,y),z,R(x,u,w)). [hyper(228,a,42,a,b,8720,a)]. given #7953 (H,wt=21): 9003 K(T(x,y),z) * ((y * z) / y) = (y * (z * K(x,z))) / y. [para(8820(a,1),16(a,1,1))]. given #7954 (H,wt=21): 9013 K(R(L(x,y,x),x \ a(x,y,x),z),u) = K(L(x,y,x),u). [para(9011(a,1),6733(a,1,1,2))]. given #7955 (H,wt=21): 9022 K(x,y) * (z * a(x,u,x)) = T(x,y) * (L(x,u,x) \ z). [para(9016(a,1),4720(a,1,2))]. given #7956 (H,wt=21): 9030 K(x,y) * (z * a(y,u,y)) = y * (L(T(y,x),u,y) \ z). [para(9020(a,1),4681(a,1,2))]. given #7957 (H,wt=21): 9033 ((x * y) / x) / ((x * (y * K(z,y))) / x) = K(y,T(z,x)). [para(9003(a,1),5040(a,1,2))]. given #7958 (H,wt=22): 7077 K(L(x,y,z),u * K(w,x)) = L(x,y,z) \ L(T(x,u),y,z). [para(7065(a,1),4706(a,1,2,1)),flip(a)]. given #7959 (H,wt=17): 9036 K(L(x,y,z),u * K(w,x)) = K(L(x,y,z),u). [hyper(228,a,4706,a(flip),b,7077,a)]. given #7960 (H,wt=17): 9037 K(L(x,y,z),K(u,x) * w) = K(L(x,y,z),w). [para(7205(a,1),9036(a,1,2))]. given #7961 (H,wt=20): 9038 K(L(x,y,z),L(K(u,x),w,v5) * v6) = K(L(x,y,z),v6). [para(6128(a,1),9037(a,1,2,1))]. given #7962 (H,wt=22): 7137 x \ R(x,y * K(x,z),x) = K(x,y) * K(y * T(x,z),x). [para(7128(a,1),5778(a,1,1)),flip(a)]. given #7963 (H,wt=20): 9040 x \ R(x,y * K(x,z),x) = K(x,y) * K(y * x,x). [para(7257(a,1),7137(a,2,2))]. given #7964 (H,wt=17): 9041 x \ R(x,y * K(x,z),x) = x \ R(x,y,x). [hyper(228,a,5743,a(flip),b,9040,a)]. given #7965 (H,wt=15): 9043 a(x,y * K(x,z),x) = x \ R(x,y,x). [hyper(8888,a,9041,a)]. given #7966 (H,wt=16): 9044 a(x,y * K(x,z),x) != u | a(x,y,x) = u. [para(9043(a,2),8888(a,1))]. given #7967 (H,wt=22): 7158 L(T(K(x,y \ z),u),y \ z,w) = K(x,T((z \ y) \ 1,u)). [hyper(228,a,6643,a,b,7152,a),flip(a)]. given #7968 (H,wt=22): 7159 L(T(K(x,(y \ z) \ u),w),u,y) = K(x,T(z \ (y * u),w)). [hyper(228,a,6310,a,b,7152,a),flip(a)]. given #7969 (H,wt=22): 7178 x * (y * K(z,T(u,x * y))) = L(K(z,u),y,x) * (x * y). [para(7152(a,2),584(a,1,2,2))]. given #7970 (H,wt=22): 7197 K(x,R(T(y / z,y * u),z,u)) = K(x,(z * u) \ (y * u)). [para(498(a,1),7115(a,1,2))]. given #7971 (H,wt=22): 7247 T(x,x * T(y,K(x,z))) * K(y,x) = L(x,T(y,K(x,z)),x). [para(7204(a,1),5301(a,1,2))]. given #7972 (H,wt=18): 9048 L(x,T(y,K(x,z)),x) = T(x,x * y) * K(y,x). [para(8243(a,1),7247(a,1,1)),flip(a)]. given #7973 (H,wt=13): 9049 L(x,T(y,K(x,z)),x) = L(x,y,x). [hyper(228,a,5301,a(flip),b,9048,a)]. given #7974 (H,wt=13): 9051 L(x,T(y,T(x,z)),x) = L(x,y,x). [hyper(228,a,7667,a(flip),b,9049,a(flip)),flip(a)]. given #7975 (H,wt=17): 9053 L(x,y / T(x,z),x) = L(x,T(x,z) \ y,x). [para(115(a,1),9051(a,1,2)),flip(a)]. given #7976 (H,wt=22): 7410 K(x,((x \ 1) * y) \ (x \ z)) = K(x,L(y,x \ 1,x) \ z). [para(190(a,1),7015(a,1,2,1)),flip(a)]. given #7977 (H,wt=22): 7442 R(T(x,y),z,x) \ T(T(x,y) * z,T(x,y)) = T(z,T(x,y)). [para(7058(a,1),1235(a,1,1))]. given #7978 (H,wt=22): 7528 (x / y) * K(y \ x,T(y,z)) != u | T(x / y,T(y,z)) = u. [para(7331(a,1),4708(a,1,2))]. given #7979 (H,wt=22): 7571 T(x,R(y,x \ 1,x) \ (x * z)) = T(x,(y * (1 / x)) \ z). [para(2810(a,1),7519(a,1,2,1)),flip(a)]. given #7980 (H,wt=22): 7673 x \ T(L(y,x \ 1,x),K(x,z)) = T((x \ 1) * y,K(x,z)). [para(396(a,1),7668(a,2,1))]. given #7981 (H,wt=19): 9056 T((x \ 1) * y,K(x,z)) = (x \ 1) * T(y,K(x,z)). [hyper(228,a,515,a(flip),b,7673,a(flip))]. given #7982 (H,wt=22): 7688 K(R(x,y,R(x,z,u)),T(w,y * R(x,z,u))) = K(T(x,y),w). [para(1672(a,1),7215(a,1,1)),flip(a)]. given #7983 (H,wt=22): 7874 K(x / ((y * z) \ y),z) != u | K(((y * z) \ y) \ x,z) = u. [para(7815(a,1),7382(a,1))]. given #7984 (H,wt=22): 7897 (K(x,T(y,z)) * u) * (u \ z) = z * R(K(x,y),u,u \ z). [para(7833(a,1),794(a,1,1,1))]. given #7985 (H,wt=22): 7898 (x * (y * K(z,u))) / (x * y) = L(K(z,T(u,x * y)),y,x). [para(7833(a,1),788(a,1,1)),flip(a)]. given #7986 (H,wt=22): 7901 K(L(x \ y,x,z),T(u,z * x)) = K((z * y) / (z * x),u). [para(102(a,2),7837(a,1,1))]. given #7987 (H,wt=22): 7910 K(x,(y * (z * u)) / (y * z)) = K(x,T(L(u,z,y),y * z)). [para(28(a,2),7842(a,1,2,1)),flip(a)]. given #7988 (H,wt=22): 8157 K(R((x * y) / x,z,u),w) != v5 | K(R(y,z,u),T(w,x)) = v5. [para(792(a,2),7845(a,1,1))]. given #7989 (H,wt=22): 8165 K(x,y \ T(z * y,u)) != w | K(x,T(y * z,u) / y) = w. [para(4472(a,1),7960(a,1,2))]. given #7990 (H,wt=22): 8172 K(x,K(y \ x,y) * z) != u | K(x,z * K(y \ x,y)) = u. [para(5079(a,1),7965(a,1,2))]. given #7991 (H,wt=22): 8184 K(x,T(y * (z \ x),y)) != u | K(x,T(y * (z \ x),z)) = u. [para(8143(a,1),8151(a,1))]. given #7992 (H,wt=22): 8200 K(x,R(x,y,z) * (u \ 1)) != w | K(x,u \ R(x,y,z)) = w. [para(7400(a,2),5792(a,1))]. given #7993 (H,wt=22): 8219 T(x,y) * T(z,x) != x * u | T(T(x,y) * (x \ z),x) = u. [para(7544(a,1),172(a,2)),flip(a)]. given #7994 (H,wt=22): 8254 K(T(x,L(x,y,z) * u),T(w,u)) = K(L(x,u,L(x,y,z)),w). [para(1529(a,1),7840(a,1,1))]. given #7995 (H,wt=22): 8257 K(T(x,y),T(z,L(z,u,w) * y)) = K(x,L(z,y,L(z,u,w))). [para(1529(a,1),7849(a,1,2))]. given #7996 (H,wt=22): 8325 x / T((y \ x) * y,z) != u | T((y \ x) * y,z) \ x = u. [para(4639(a,1),7623(a,1,2,1))]. given #7997 (H,wt=21): 9063 T((x \ y) * x,y \ 1) \ y = (y \ 1) * (x * (y / x)). [hyper(8325,a,6574,a)]. given #7998 (H,wt=22): 8330 K(x,y) * K(y,K(z,T(x,u))) != w | T(K(x,y),T(z,u)) = w. [para(7753(a,2),7712(a,1,2))]. given #7999 (H,wt=22): 8343 K(x * y,y) * K(x,K(y,z)) != u | K(x * y,T(y,z)) = u. [para(7487(a,1),7981(a,1,2))]. given #8000 (H,wt=22): 8357 T(K(x,y) * K(z,u),x) != w | K(x,y) * K(z,T(u,x)) = w. [para(7542(a,2),8350(a,1))]. given #8001 (H,wt=22): 8364 K(x,y \ (T(x,z) \ u)) != w | K(x,(T(x,z) * y) \ u) = w. [para(8361(a,1),6781(a,1))]. given #8002 (H,wt=22): 8434 x * K(y,(1 / x) * (z * x)) = K(y,L(z,x,x \ 1)) * x. [para(2994(a,1),7283(a,1,2,2))]. given #8003 (H,wt=22): 8448 (x * ((y \ (x \ z)) * y)) \ z != u | K(y,x \ (y \ z)) = u. [para(7477(a,1),5085(a,1,1))]. given #8004 (H,wt=22): 8497 K(x \ (y \ z),y) * z != z * u | K(z / (y * x),y) = u. [para(8031(a,2),19(a,1))]. given #8005 (H,wt=22): 8508 (x * y) * K(z,K(u,L(w,y,x))) = x * (y * K(z,K(u,w))). [para(8503(a,1),100(a,1,2))]. given #8006 (H,wt=22): 8512 (x * y) * K(z,K(u,L(w,y,x))) = x * (y * K(w,K(z,u))). [para(8504(a,1),100(a,1,2))]. given #8007 (H,wt=22): 8518 K(x,K(y \ (z \ u),L(w,y,z))) = K(w,K(x,(z * y) \ u)). [para(222(a,1),8510(a,2,2,2))]. given #8008 (H,wt=22): 8519 x * K(y,K(z,L(x,u,w))) != v5 | T(x,K(y,L(z,u,w))) = v5. [para(8510(a,2),4708(a,1,2))]. given #8009 (H,wt=22): 8530 K(x,y * z) \ ((x * y) * z) = R(x,y,z) * T(y * z,x). [para(109(a,1),8228(a,1,2))]. given #8010 (H,wt=22): 8535 x * (y * K(z,K(u,x * y))) != w | T(x * y,K(z,u)) = w. [para(8245(a,1),213(a,1,2)),flip(b)]. given #8011 (H,wt=22): 8546 (1 / x) * K(x \ y,z) != u * (1 / x) | K(y / x,z) = u. [para(8284(a,1),20(a,1))]. given #8012 (H,wt=22): 8577 K((x * (y * z)) \ ((x * z) * y),z) = K(a(x,z,T(y,z)),z). [para(175(a,1),8572(a,1,1)),flip(a)]. given #8013 (H,wt=22): 8585 x * (y * ((x \ z) / y)) != z * u | K(y,x \ (y \ z)) = u. [para(8442(a,1),19(a,1))]. given #8014 (H,wt=22): 8610 K(((x \ 1) * (y * x)) \ z,x) = K(L(y,x,x \ 1) \ z,x). [hyper(228,a,6152,a(flip),b,8559,a)]. given #8015 (H,wt=22): 8623 K(x,(y * z) \ ((K(x,u) * y) * z)) = K(x,a(K(x,u),y,z)). [para(24(a,2),8618(a,1,2)),flip(a)]. given #8016 (H,wt=21): 9068 K(x,R(T(K(x,y),z * u),z,u)) = K(x,a(K(x,y),z,u)). [para(595(a,1),8623(a,1,2))]. given #8017 (H,wt=10): 9069 K(x,a(K(x,y),z,u)) = 1. [hyper(228,a,5817,a(flip),b,9068,a(flip))]. given #8018 (H,wt=10): 9071 T(x,a(K(x,y),z,u)) = x. [hyper(37,a,9069,a)]. given #8019 (H,wt=14): 9073 T(T(x,y),a(K(x,z),u,w)) = T(x,y). [para(9071(a,1),38(a,1,1)),flip(a)]. given #8020 (H,wt=15): 9072 T(a(K(x,y),z,u),x) = a(K(x,y),z,u). [hyper(35,a,9071,a)]. given #8021 (H,wt=17): 9074 a(K(x,y),z,u) * x = x * a(K(x,y),z,u). [para(9071(a,1),113(a,1,2))]. given #8022 (H,wt=21): 9075 K(x,y) * a(K(x,z),u,w) = a(K(x,z),u,w) * K(x,y). [para(9071(a,1),7205(a,1,2,1)),flip(a)]. given #8023 (H,wt=21): 9076 K(a(K(x,y),z,u),w) * x = x * K(a(K(x,y),z,u),w). [para(9072(a,1),7205(a,1,2,1)),flip(a)]. given #8024 (H,wt=22): 8626 K(x,y \ ((z * x) * (z \ 1))) = K(x,y \ R(x,z,z \ 1)). [para(6093(a,1),8622(a,1,2,2)),flip(a)]. given #8025 (H,wt=22): 8676 K(x,y / z) * z != u * w | (z * K(x,z \ y)) / w = u. [para(7842(a,1),7896(a,1,1))]. given #8026 (H,wt=22): 8679 K(x,T(y,L(x,z,u) * (u * z))) = K(x,T(y,u * (z * x))). [para(4818(a,1),8677(a,1,2,2))]. given #8027 (H,wt=22): 8687 K(x,y) * K(y * L(x,z,u),x) = x \ R(x,y,L(x,z,u)). [hyper(71,a,8525,a(flip),b,4675,a),flip(a)]. given #8028 (H,wt=22): 8781 T(x * K(y,z),K(z,u)) \ T(x,K(z,u)) != w | K(z,y) = w. [para(8776(a,2),5085(a,1,1))]. given #8029 (H,wt=22): 8834 K(R(x,y / x,z),T(u,y)) = K((y * z) / ((y / x) * z),u). [para(110(a,1),8833(a,1,1)),flip(a)]. given #8030 (H,wt=22): 8842 K(L(x,y,z),(z \ u) \ (x * y)) = K(x,u \ (z * (x * y))). [hyper(228,a,6299,a(flip),b,8837,a(flip))]. given #8031 (H,wt=22): 8848 (x * K(y,z)) * K(z,u) != w | x * (K(y,z) * K(z,u)) = w. [para(8844(a,1),218(a,1,2))]. given #8032 (H,wt=22): 8917 T(x,y \ x) \ ((x \ (y \ x)) \ (y \ x)) = a(x,y \ 1,x). [hyper(228,a,8914,a(flip),b,8916,a(flip)),flip(a)]. given #8033 (H,wt=22): 8922 x * K(y,z) != u * K(w,z) | u * (K(w,z) * K(z,y)) = x. [para(8855(a,1),20(a,2)),flip(b)]. given #8034 (H,wt=22): 8934 (x * K(y,z)) * K(u,y) != w | x * (K(y,z) * K(u,y)) = w. [para(8929(a,1),218(a,1,2))]. given #8035 (H,wt=22): 8955 K((x \ y) \ (z * u),L(z,u,x)) = K(y \ (x * (z * u)),z). [hyper(228,a,6328,a(flip),b,8950,a(flip))]. given #8036 (H,wt=22): 8957 (x * (y * z)) * K(u,L(y,z,x)) = x * ((y * z) * K(u,y)). [para(8950(a,1),100(a,1,2))]. given #8037 (H,wt=22): 8961 K(K(x,y) * T(y,z),T(u,z)) != w | K(y,T(u,T(x,z))) = w. [para(8260(a,2),8159(a,1))]. given #8038 (H,wt=22): 8983 T(x / y,z) * T(y,K(x,z)) != x * u | K(x / y,z) = u. [para(8982(a,2),19(a,1))]. given #8039 (H,wt=22): 8990 x * R(K(x,K(y,z)),u,w) != v5 | T(x,K(y,R(z,u,w))) = v5. [para(8987(a,2),4708(a,1,2))]. given #8040 (H,wt=20): 9082 T(x,R(K(y,z),u,w)) != v5 | T(x,K(y,R(z,u,w))) = v5. [para(8764(a,1),8990(a,1))]. given #8041 (H,wt=22): 9029 T(x,y) * (L(T(x,y),z,x) \ u) != u * w | a(x,z,x) = w. [para(9020(a,2),19(a,1))]. given #8042 (H,wt=22): 9045 L(K(x,T(y \ z,u)),y \ z,w) = K(x,T((z \ y) \ 1,u)). [para(7152(a,2),7158(a,1,1))]. given #8043 (H,wt=17): 9083 K(x,T((y \ z) \ 1,u)) = K(x,T(z \ y,u)). [hyper(7369,a,9045,a),flip(a)]. given #8044 (H,wt=17): 9084 K(x,T((y * z) \ y,u)) = K(x,T(z \ 1,u)). [para(13(a,1),9083(a,1,2,1,1)),flip(a)]. given #8045 (H,wt=17): 9085 K(x,T((y \ z) / z,u)) = K(x,T(y \ 1,u)). [para(330(a,1),9084(a,1,2,1))]. given #8046 (H,wt=17): 9086 K(x,T((y / z) \ 1,u)) = K(x,T(z / y,u)). [para(64(a,1),9085(a,1,2,1,1)),flip(a)]. given #8047 (H,wt=22): 9046 L(K(x,T((y \ z) \ u,w)),u,y) = K(x,T(z \ (y * u),w)). [para(7152(a,2),7159(a,1,1))]. given #8048 (H,wt=19): 9087 K(x,T((y \ z) \ x,u)) = K(x,T(z \ (y * x),u)). [hyper(5513,a,9046,a)]. given #8049 (H,wt=17): 9088 K(x,T((y \ z) \ x,y)) = K(x,(z / y) \ x). [hyper(228,a,8378,a(flip),b,9087,a)]. given #8050 (H,wt=17): 9090 K(x,((y * z) / y) \ x) = K(x,T(z \ x,y)). [para(13(a,1),9088(a,1,2,1,1)),flip(a)]. given #8051 (H,wt=19): 9091 K(x,T(y \ x,y \ z)) = K(x,(z / (z / y)) \ x). [para(3906(a,1),9090(a,1,2,1)),flip(a)]. given #8052 (H,wt=20): 9089 K(x,T((y \ z) \ x,y)) != u | K(x,(z / y) \ x) = u. [para(9087(a,2),8391(a,1))]. given #8053 (H,wt=22): 9055 T(x,R(y,x \ 1,x) \ (x * z)) = T(x,(y * (x \ 1)) \ z). [hyper(228,a,4428,a(flip),b,7571,a)]. given #8054 (H,wt=22): 9058 K(R(x,y,R(x,z,u)),T(w,y * R(x,z,u))) = K(x,T(w,y)). [hyper(228,a,7202,a(flip),b,7688,a)]. given #8055 (H,wt=16): 9094 K(x,T(y,z * R(x,u,w))) = K(x,T(y,z)). [hyper(228,a,8719,a(flip),b,9058,a(flip)),flip(a)]. given #8056 (H,wt=16): 9096 K(x,T(y,z / R(x,u,w))) = K(x,T(y,z)). [para(16(a,1),9094(a,1,2,2)),flip(a)]. given #8057 (H,wt=16): 9097 K(x,T(y,R(x,z,u) \ w)) = K(x,T(y,w)). [hyper(228,a,7652,a(flip),b,9096,a(flip)),flip(a)]. given #8058 (H,wt=16): 9099 K(x,T(y,R(x,z,u) * w)) = K(x,T(y,w)). [para(13(a,1),9097(a,1,2,2)),flip(a)]. given #8059 (H,wt=17): 9100 K(x,T(y,(x * z) * u)) = K(x,T(y,z * u)). [para(141(a,1),9097(a,1,2,2)),flip(a)]. given #8060 (H,wt=17): 9104 K(x,T(y,(z * x) * u)) = K(x,T(y,z * u)). [hyper(228,a,8466,a,b,9100,a(flip)),flip(a)]. given #8061 (H,wt=20): 9102 K(x,T(y,R(x,z,u) * w)) = K(x,y) * K(x,K(y,w)). [hyper(228,a,7706,a,b,9099,a)]. given #8062 (H,wt=16): 9106 K(x,K(y,R(x,z,u) * w)) = K(x,K(y,w)). [hyper(7984,a,9102,a)]. given #8063 (H,wt=16): 9108 K(x,K(y,R(x,z,u) \ w)) = K(x,K(y,w)). [para(14(a,1),9106(a,1,2,2)),flip(a)]. given #8064 (H,wt=16): 9110 K(x,K(y,z \ R(x,u,w))) = K(x,K(y,z)). [hyper(8113,a,9108,a)]. given #8065 (H,wt=16): 9111 K(x,K(y,R(x,z,u) / w)) = K(x,K(y,w)). [para(64(a,1),9110(a,1,2,2)),flip(a)]. given #8066 (H,wt=16): 9112 K(x,K(y,z * R(x,u,w))) = K(x,K(y,z)). [hyper(8111,a,9111,a),flip(a)]. given #8067 (H,wt=17): 9109 K(x,K(y,(x * z) * u)) = K(x,K(y,z * u)). [para(109(a,1),9106(a,1,2,2))]. given #8068 (H,wt=17): 9113 K(x,K(y,(y * z) * u)) = K(y,K(x,z * u)). [hyper(7725,a,9109,a)]. given #8069 (H,wt=19): 9107 K(x,T(y,R(x,z,u) * w)) != v5 | K(x,T(y,w)) = v5. [para(9102(a,2),7981(a,1))]. given #8070 (H,wt=16): 9115 K(x,T(y,x * z)) != u | K(x,T(y,z)) = u. [para(340(a,1),9107(a,1,2,2,1))]. given #8071 (H,wt=20): 9116 K(x,y / (x * z)) != u | K(x,T((x * z) \ y,z)) = u. [para(7842(a,1),9115(a,1))]. given #8072 (H,wt=21): 9114 K(x,K(y,z * u)) * K(y,x) = K(y,T(x,(x * z) * u)). [para(9109(a,1),7756(a,1,1))]. given #8073 (H,wt=17): 9117 K(x,T(y,(y * z) * u)) = K(x,T(y,z * u)). [hyper(8002,a,9114,a),flip(a)]. given #8074 (H,wt=17): 9118 K(x,T(y,(y \ z) * u)) = K(x,T(y,z * u)). [para(14(a,1),9117(a,1,2,2,1)),flip(a)]. given #8075 (H,wt=17): 9119 K(x \ y,T(x,y * z)) = K(x \ y,T(x,z)). [hyper(9115,a,9118,a),flip(a)]. given #8076 (H,wt=19): 9120 K(x \ (y / z),T(x,z)) = K(x \ (y / z),T(x,y)). [para(16(a,1),9119(a,1,2,2)),flip(a)]. given #8077 (H,wt=22): 9062 K(L(x,y,L(x,z,u)),T(w,L(x,z,u) * y)) = K(x,T(w,y)). [hyper(7974,a,8254,a),flip(a)]. given #8078 (H,wt=16): 9121 K(x,T(y,L(x,z,u) * w)) = K(x,T(y,w)). [hyper(228,a,8694,a(flip),b,9062,a(flip)),flip(a)]. given #8079 (H,wt=16): 9124 K(x,T(y,L(x,z,u) \ w)) = K(x,T(y,w)). [para(14(a,1),9121(a,1,2,2)),flip(a)]. given #8080 (H,wt=16): 9125 K(x,T(y,z / L(x,u,w))) = K(x,T(y,z)). [hyper(228,a,8678,a,b,9124,a(flip)),flip(a)]. given #8081 (H,wt=17): 9123 K(x,T(y,z * (u * x))) = K(x,T(y,z * u)). [hyper(228,a,8679,a(flip),b,9121,a(flip)),flip(a)]. given #8082 (H,wt=17): 9127 K(x,T(y,z * (u / x))) = K(x,T(y,z * u)). [para(506(a,1),9125(a,1,2,2))]. given #8083 (H,wt=17): 9129 K(x,T(y,z * (x * u))) = K(x,T(y,z * u)). [hyper(228,a,7618,a(flip),b,9123,a(flip)),flip(a)]. given #8084 (H,wt=17): 9130 K(x,T(x * y,z * y)) = K(x,T(x * y,z)). [hyper(228,a,7151,a(flip),b,9129,a(flip))]. given #8085 (H,wt=17): 9131 K(x,T(y,z * (x \ u))) = K(x,T(y,z * u)). [para(14(a,1),9129(a,1,2,2,2)),flip(a)]. given #8086 (H,wt=17): 9132 K(x,T(x * y,z * y)) = K(x,T(y * x,z)). [hyper(228,a,5437,a,b,9130,a)]. given #8087 (H,wt=22): 9064 x * K(y,(x \ 1) * (z * x)) = K(y,L(z,x,x \ 1)) * x. [para(5384(a,1),8434(a,1,2))]. given #8088 (H,wt=20): 9134 K(x,T((y \ 1) * (z * y),y)) = K(x,L(z,y,y \ 1)). [hyper(7834,a,9064,a)]. given #8089 (H,wt=22): 9065 K(x,(y * (z * x)) \ u) != w | K(x,(y * z) \ (x \ u)) = w. [para(6813(a,1),8448(a,1))]. given #8090 (H,wt=22): 9066 x * (y * K(z,K(u,x * y))) = T(x * y,K(z,L(u,y,x))). [hyper(228,a,8517,a(flip),b,8508,a(flip))]. given #8091 (H,wt=18): 9135 T(x * y,K(z,L(u,y,x))) = T(x * y,K(z,u)). [hyper(8535,a,9066,a),flip(a)]. given #8092 (H,wt=22): 9079 K(R(x,y / x,z),u) = K((y * z) / ((y / x) * z),T(u,y)). [hyper(7908,a,8834,a)]. given #8093 (H,wt=19): 9136 R(K((x / y) \ x,z),x,u) = K(R(y,x / y,u),z). [hyper(228,a,7276,a(flip),b,9079,a),flip(a)]. given #8094 (H,wt=15): 9137 K(R(x,y / x,z),u) = R(K(x,u),y,z). [para(64(a,1),9136(a,1,1,1)),flip(a)]. given #8095 (H,wt=15): 9138 R(K(x,y),z * x,u) = K(R(x,z,u),y). [para(15(a,1),9137(a,1,1,2)),flip(a)]. given #8096 (H,wt=13): 9140 K(R(x,y,z),y) = K(x,R(y,x,z)). [hyper(8792,a,9138,a),flip(a)]. given #8097 (H,wt=15): 9143 x * K(R(x,y,z),y) = T(x,R(y,x,z)). [para(9140(a,2),4705(a,2,2)),flip(a)]. given #8098 (H,wt=16): 9142 K(R(x,y,z),y) != u | K(x,R(y,x,z)) = u. [para(9138(a,1),8792(a,1))]. given #8099 (H,wt=22): 9081 (x * (y * z)) * K(u,L(y,z,x)) = x * (y * (z * K(u,y))). [para(7116(a,1),8957(a,2,2))]. given #8100 (H,wt=22): 9093 T(x,(y * (x \ 1)) \ (x \ z)) = T(x,R(y,x \ 1,x) \ z). [para(14(a,1),9055(a,1,2,2)),flip(a)]. given #8101 (H,wt=23): 7062 (x * K(y,z)) * L(T(y,x),u,w) = L(y,u,w) * (x * K(y,z)). [para(7057(a,1),183(a,1,2,1))]. given #8102 (H,wt=23): 7063 T(x * K(y,z),L(T(y,x),u,w)) = T(x * K(y,z),L(y,u,w)). [para(7057(a,1),3943(a,1,2,1))]. given #8103 (H,wt=23): 7141 (x \ K(x,y)) * (T(x,x \ 1) * z) = (K(x,y) / x) * (x * z). [para(7067(a,1),5952(a,1,2,1))]. given #8104 (H,wt=23): 7149 K(x,T(y,L(y,z,u) * (y \ w))) = K(x,T(y,L(y,z,u) * w)). [para(1361(a,1),7101(a,1,2,2)),flip(a)]. given #8105 (H,wt=23): 7194 K(x,T((y \ 1) * ((z \ y) * z),u)) = K(x,K(z \ y,T(z,u))). [para(7152(a,2),6195(a,2,2))]. given #8106 (H,wt=23): 7211 T(T(x * K(y,x),z),u) \ T(T(x,z),u) = K(T(x,z),T(y,u)). [hyper(228,a,5913,a,b,7202,a(flip)),flip(a)]. given #8107 (H,wt=23): 7244 (x * K(T(y,z),u)) * K(u,w) = (x * K(u,w)) * K(y,T(u,z)). [para(7202(a,1),6720(a,1,2)),flip(a)]. given #8108 (H,wt=23): 7287 K(x \ y,z) * K(u,y / x) = K(u,y / x) * K(x \ y,z). [para(3171(a,1),7174(a,1,2,2))]. given #8109 (H,wt=21): 9151 K(x,y / z) * K(z \ y,z) = z \ (y / T(y / z,x)). [hyper(228,a,5955,a(flip),b,7287,a(flip))]. given #8110 (H,wt=23): 7313 L(x,y \ (K(z,y) * u),T(y,u)) = L(x,y \ (K(z,y) * u),y). [para(7295(a,1),4220(a,1,3))]. given #8111 (H,wt=21): 9152 L(x,T(y,z) \ u,T(y,u)) = L(x,y \ (K(z,y) * u),y). [para(4997(a,1),7313(a,1,2))]. given #8112 (H,wt=19): 9153 L(x,T(y,z) \ u,T(y,u)) = L(x,T(y,z) \ u,y). [para(4997(a,1),9152(a,2,2))]. given #8113 (H,wt=22): 9154 T(x,y) * ((T(x,y) \ y) * z) = y * L(z,T(x,y) \ y,x). [para(9153(a,1),441(a,1,2)),flip(a)]. given #8114 (H,wt=22): 9155 T(x,y) * ((x \ T(y,x)) * z) = y * L(z,T(x,y) \ y,x). [para(3939(a,1),9154(a,1,2,1))]. given #8115 (H,wt=22): 9156 T(x,y) * ((x \ T(y,x)) * z) = y * L(z,x \ T(y,x),x). [para(3939(a,1),9155(a,2,2,2))]. given #8116 (H,wt=23): 7323 K(x,L(L(x,y,z),u,w) / v5) = K(x,v5 \ L(L(x,y,z),u,w)). [para(907(a,1),7203(a,1,1))]. given #8117 (H,wt=23): 7328 (x * (K(y,z) * u)) \ (x * u) != w | L(K(z,T(y,u)),u,x) = w. [para(7205(a,1),6443(a,1,1,2))]. given #8118 (H,wt=23): 7344 (K(x,y) * T(T(y,z),u)) * w = K(x,y) * (T(T(y,z),u) * w). [para(7341(a,1),100(a,1,2))]. given #8119 (H,wt=14): 9159 R(K(x,y),T(T(y,z),u),w) = K(x,y). [hyper(4535,a,7344,a)]. given #8120 (H,wt=23): 7377 K(x,K(y,T((z * x) / u,u / x))) = K(x,K(y,(u / x) \ z)). [para(720(a,1),7048(a,1,2,2))]. given #8121 (H,wt=21): 9161 K(x,K((y * x) / z,T(u,z))) = K(x,K(u,(z / x) \ y)). [hyper(8271,a,7377,a)]. given #8122 (H,wt=19): 9162 K(x,K(y,(z / x) \ u)) = K(x,K(y,z \ (u * x))). [hyper(7958,a,9161,a),flip(a)]. given #8123 (H,wt=23): 7434 (K(x,y) * z) * K(u,T(x,w)) = K(x,y) * (z * K(u,T(x,w))). [para(7421(a,1),6316(a,1,2,2))]. given #8124 (H,wt=23): 7490 R(x,y,z) * (x \ K(u,T(x,w))) = T(x,T(u,w)) \ R(x,y,z). [para(7212(a,1),1772(a,1,2))]. given #8125 (H,wt=23): 7584 K(x,y) * (z * T(z \ (K(x,y) \ u),x)) = T(u / z,x) * z. [para(7546(a,1),1480(a,1,1)),flip(a)]. given #8126 (H,wt=23): 7717 (K(x,y) / z) * K(x,K(y,1 / z)) = T(K(x,y),1 / z) / z. [para(7693(a,1),6537(a,1,2))]. given #8127 (H,wt=23): 7903 K(x \ y,T(z,x)) / (x \ y) = (1 / (x \ y)) * K(y / x,z). [para(7837(a,1),5215(a,1,2)),flip(a)]. given #8128 (H,wt=21): 9164 (1 / (x \ y)) * K(y / x,z) = K(y / x,z) / (x \ y). [para(7837(a,1),7903(a,1,1)),flip(a)]. given #8129 (H,wt=17): 9165 K(1 / x,y) / (x \ 1) = x * K(1 / x,y). [hyper(580,a,9164,a),flip(a)]. given #8130 (H,wt=17): 9166 1 / (x \ K(y,1 / x)) = x * K(1 / x,y). [hyper(228,a,5194,a(flip),b,9165,a(flip)),flip(a)]. given #8131 (H,wt=17): 9167 1 / ((x * (y \ 1)) / x) = y * K(1 / y,x). [para(4825(a,1),9166(a,1,2))]. given #8132 (H,wt=21): 9168 1 / ((x * ((y / z) \ 1)) / x) = (y / z) * K(z / y,x). [para(5631(a,1),9167(a,2,2))]. given #8133 (H,wt=23): 7918 K(T(x,x \ y),((x \ 1) * y) \ z) = K(x,z / ((x \ 1) * y)). [para(3936(a,1),7851(a,1,1))]. given #8134 (H,wt=21): 9169 K(T(x,y),((x \ 1) * y) \ z) = K(x,z / ((x \ 1) * y)). [hyper(228,a,7035,a(flip),b,7918,a(flip)),flip(a)]. given #8135 (H,wt=23): 7926 x / (K(T(y,z),x) * K(x * K(z,x),z)) = T(x * K(z,x),y). [para(7859(a,1),5482(a,1,2,1))]. given #8136 (H,wt=19): 9171 x / (K(T(y,z),x) * K(x,z)) = T(x * K(z,x),y). [para(4889(a,1),7926(a,1,2,2))]. given #8137 (H,wt=19): 9172 T(x * K(y,x),z) \ x = K(T(z,y),x) * K(x,y). [para(9171(a,1),64(a,1,1))]. given #8138 (H,wt=19): 9174 T((x * y) / x,z) \ y = K(T(z,x),y) * K(y,x). [para(4673(a,2),9172(a,1,1,1))]. given #8139 (H,wt=19): 9175 T((x * y) / x,z) \ y = K(y,x) * K(T(z,x),y). [hyper(228,a,1757,a,b,9174,a)]. given #8140 (H,wt=23): 8007 K(x,y / z) * K(x,K(u,z \ y)) = K(x,T(y / z,T(u,z))). [para(7217(a,1),7754(a,1,2,2))]. given #8141 (H,wt=23): 8039 R(K(x,y),T(y,T(z,u)) * u,w) = K(x,R(y,u * K(y,z),w)). [para(7887(a,2),6923(a,1,2))]. given #8142 (H,wt=17): 9177 K(x,R(y,z * K(y,u),w)) = K(x,R(y,z,w)). [hyper(8784,a,8039,a),flip(a)]. given #8143 (H,wt=15): 9180 K(x,R(y,T(z,y),u)) = K(x,R(y,z,u)). [para(4655(a,1),9177(a,1,2,2)),flip(a)]. given #8144 (H,wt=15): 9182 R(K(x,y),z * y,u) = K(x,R(y,z,u)). [hyper(6951,a,9180,a)]. given #8145 (H,wt=17): 9181 K(x,R(y,K(y,z) * u,w)) = K(x,R(y,u,w)). [para(7174(a,1),9177(a,1,2,2))]. given #8146 (H,wt=17): 9183 R(K(x,y \ z),z,u) = K(x,R(y \ z,y,u)). [para(14(a,1),9182(a,1,2))]. given #8147 (H,wt=20): 9178 K(x,R(y,z * K(y,u),w)) != v5 | K(x,R(y,z,w)) = v5. [para(8039(a,1),8784(a,1))]. given #8148 (H,wt=21): 9184 R(K(x,y),z * T(y,u),w) = K(x,R(y,z * K(y,u),w)). [para(5177(a,1),9182(a,1,2))]. given #8149 (H,wt=20): 9187 R(K(x,y),z * T(y,u),w) != v5 | K(x,R(y,z,w)) = v5. [para(9184(a,2),9178(a,1))]. given #8150 (H,wt=18): 9188 R(K(x,y),z * y,u) != w | K(x,R(y,z,u)) = w. [para(112(a,1),9187(a,1,2,2))]. given #8151 (H,wt=21): 9185 K(R(x,K(x,y) * z,u),w) = (v5 * K(w,R(x,z,u))) \ v5. [para(9181(a,1),5037(a,1,1,2)),flip(a)]. given #8152 (H,wt=17): 9190 K(R(x,K(x,y) * z,u),w) = K(R(x,z,u),w). [hyper(228,a,5037,a(flip),b,9185,a)]. given #8153 (H,wt=17): 9193 K(R(x,K(y,x) * z,u),w) = K(R(x,z,u),w). [para(5042(a,1),9190(a,1,1,2)),flip(a)]. given #8154 (H,wt=19): 9192 R(K(x,y),K(x,z) * u,w) = K(R(x,x \ u,w),y). [hyper(228,a,6738,a(flip),b,9190,a(flip)),flip(a)]. given #8155 (H,wt=17): 9195 R(K(x,y),K(x,z) * u,w) = R(K(x,y),u,w). [hyper(228,a,6732,a(flip),b,9192,a)]. given #8156 (H,wt=17): 9196 R(K(x,y),z / x,u) = R(K(x,y),x \ z,u). [para(4738(a,1),9195(a,1,2))]. given #8157 (H,wt=20): 9191 K(R(x,K(x,y) * z,u),w) != v5 | K(R(x,z,u),w) = v5. [para(9185(a,2),5085(a,1))]. given #8158 (H,wt=22): 9198 R(K(x,y),x \ y,z) * ((y / T(x,y)) * z) = (y / x) * z. [para(9196(a,1),6916(a,1,1))]. given #8159 (H,wt=23): 8093 (x * K(y \ 1,z)) \ K(x,K(y,z)) = (K(y \ 1,z) * x) \ 1. [hyper(71,a,8078,a(flip),b,5183,a(flip))]. given #8160 (H,wt=23): 8101 K(x,K(y,(z \ 1) / (u / z))) = K(y,(T(u,x) / z) / (u / z)). [para(6149(a,1),8085(a,1,2)),flip(a)]. given #8161 (H,wt=17): 9200 K(x,(T(y,z) / u) / (y / u)) = K(x,K(z,y)). [hyper(8297,a,8101,a),flip(a)]. given #8162 (H,wt=23): 8158 K(L((x \ y) / z,z,x),u) != w | K((x * z) \ y,T(u,z)) = w. [para(799(a,2),7845(a,1,1))]. given #8163 (H,wt=23): 8192 (x \ L(T(x,y),z,u)) * K(w,x) = T(x,w) \ L(T(x,y),z,u). [para(785(a,1),8191(a,1,2,2))]. given #8164 (H,wt=23): 8195 (K(x,y) / z) * K(u,K(y,1 / z)) = T(K(x,y) / z,K(u,y)). [para(7314(a,1),7737(a,1,2))]. given #8165 (H,wt=19): 9201 T(K(x,y) / z,K(x,y)) = T(K(x,y),1 / z) / z. [hyper(228,a,7717,a(flip),b,8195,a(flip))]. given #8166 (H,wt=19): 9202 T(K(x,y) / z,K(x,y)) = K(x,T(y,1 / z)) / z. [para(7152(a,2),9201(a,2,1))]. given #8167 (H,wt=17): 9203 T(K(x,y) / z,K(x,y)) = K(x,T(y,z)) / z. [para(8144(a,1),9202(a,2,1))]. given #8168 (H,wt=23): 8210 K(x * (((y \ 1) \ z) / z),y) = K(x * (z \ ((y \ 1) \ z)),y). [para(3879(a,1),7506(a,1,1,2)),flip(a)]. given #8169 (H,wt=23): 8217 (x * y) * (z * (((x * y) \ x) / z)) = x * K(z,y \ (z \ 1)). [para(7534(a,1),6991(a,2,2))]. given #8170 (H,wt=17): 9206 K(x,(y * z) \ (x \ y)) = K(x,z \ (x \ 1)). [hyper(8585,a,8217,a)]. given #8171 (H,wt=17): 9207 K(x,(y \ z) \ (x \ 1)) = K(x,z \ (x \ y)). [para(14(a,1),9206(a,1,2,1)),flip(a)]. given #8172 (H,wt=21): 9208 K((x * y) \ (z \ x),z) = (u * K(z,y \ (z \ 1))) \ u. [para(9206(a,1),5037(a,1,1,2)),flip(a)]. given #8173 (H,wt=17): 9209 K((x * y) \ (z \ x),z) = K(y \ (z \ 1),z). [hyper(228,a,5037,a(flip),b,9208,a)]. given #8174 (H,wt=17): 9210 K((x \ y) \ (z \ 1),z) = K(y \ (z \ x),z). [para(14(a,1),9209(a,1,1,1)),flip(a)]. given #8175 (H,wt=21): 9211 1 / (x \ K(y \ (x \ z),x)) = T(x,(z \ y) \ (x \ 1)). [para(9210(a,1),4806(a,2,2,2)),flip(a)]. given #8176 (H,wt=17): 9212 T(x,(y \ z) \ (x \ 1)) = T(x,z \ (x \ y)). [hyper(4807,a,9211,a),flip(a)]. given #8177 (H,wt=17): 9213 T(x,(x * (y \ z)) \ 1) = T(x,z \ (x \ y)). [hyper(8425,a,9212,a)]. given #8178 (H,wt=23): 8240 K(x,(K(y \ x,y) * z) \ x) = K(x,(z * K(y \ x,y)) \ x). [para(5079(a,1),7684(a,1,2,1))]. given #8179 (H,wt=17): 9214 K(x,(K(y \ x,y) * z) \ x) = K(x,z \ x). [hyper(228,a,6760,a(flip),b,8240,a)]. given #8180 (H,wt=17): 9216 K(x,y \ (K(z,z \ x) * x)) = K(x,y \ x). [hyper(228,a,6306,a(flip),b,9214,a(flip)),flip(a)]. given #8181 (H,wt=15): 9217 K(x,y \ (z * (x / z))) = K(x,y \ x). [para(4723(a,1),9216(a,1,2,2))]. given #8182 (H,wt=15): 9218 K(x,y \ ((z \ x) * z)) = K(x,y \ x). [para(61(a,1),9217(a,1,2,2,2))]. given #8183 (H,wt=23): 8241 K(x,T((y \ z) * x,z)) = K(x,y \ ((((y \ z) \ 1) \ y) * x)). [hyper(228,a,6307,a(flip),b,7685,a(flip))]. given #8184 (H,wt=23): 8248 T(x,y / z) * K(z \ y,z) = K(z \ y,z) * T(x,z \ y). [para(7928(a,1),7811(a,1,1))]. given #8185 (H,wt=21): 9220 T(x,y / z) * K(z \ y,z) = (y / z) \ (x * (z \ y)). [hyper(228,a,5917,a(flip),b,8248,a)]. given #8186 (H,wt=23): 8292 K(x,T(y \ (x * z),z)) * u = u * K(x,T((y / z) \ x,u)). [para(8268(a,2),7174(a,2,1)),flip(a)]. given #8187 (H,wt=23): 8382 K(x,(y \ R(x,z,z \ 1)) / a(x,z,z \ 1)) = K(x,y \ x). [para(671(a,1),8379(a,1,2,1,2))]. given #8188 (H,wt=23): 8394 T(K(x,y) * (z * K(y,u)),K(y,u)) = K(y,u) * (K(x,y) * z). [para(7078(a,1),7790(a,1,1))]. given #8189 (H,wt=23): 8402 K(x,y) * K(x,K(y,z \ (u * y))) = K(x,T(y,(y \ z) \ u)). [para(8398(a,2),7706(a,2,2))]. given #8190 (H,wt=17): 9224 K(x,K(y,z \ (u * y))) = K(x,K(y,z \ u)). [hyper(17,a,8406,a,b,8402,a)]. given #8191 (H,wt=17): 9225 K(x,K(y,z \ (u * y))) = K(y,K(x,z \ u)). [hyper(228,a,7723,a,b,9224,a)]. given #8192 (H,wt=17): 9227 K(x,K(y,z \ (y \ u))) = K(x,K(y,z \ u)). [para(8409(a,1),9224(a,1,2)),flip(a)]. given #8193 (H,wt=17): 9228 K(x,K(y,z \ (u * x))) = K(x,K(y,z \ u)). [hyper(7725,a,9225,a)]. given #8194 (H,wt=17): 9230 K(x,K(y,(z / x) \ u)) = K(x,K(y,z \ u)). [hyper(228,a,9162,a,b,9228,a(flip)),flip(a)]. given #8195 (H,wt=17): 9232 K(x,K(y,(x \ z) \ u)) = K(x,K(y,z \ u)). [hyper(228,a,8057,a(flip),b,9230,a(flip)),flip(a)]. given #8196 (H,wt=17): 9233 K(x,K(y,z \ (x \ u))) = K(x,K(y,u \ z)). [hyper(8113,a,9232,a)]. given #8197 (H,wt=19): 9235 K((T(x,y) * z) \ u,K(x,w)) = K(x,K(w,u \ z)). [hyper(228,a,8974,a,b,9233,a(flip)),flip(a)]. given #8198 (H,wt=19): 9236 K(x,K(y,(T(x,z) * u) \ w)) = K(x,K(y,w \ u)). [hyper(7760,a,9235,a)]. given #8199 (H,wt=21): 9229 K(x,K(T(y,z),u \ (y * z))) = K(T(y,z),K(x,u \ z)). [para(113(a,1),9225(a,1,2,2,2))]. given #8200 (H,wt=21): 9234 K(x,y) * K(x,K(y,z \ u)) = K(x,T(y,(x \ z) \ u)). [para(9232(a,1),7706(a,1,2))]. given #8201 (H,wt=17): 9238 K(x,T(y,(x \ z) \ u)) = K(x,T(y,z \ u)). [hyper(7981,a,9234,a),flip(a)]. given #8202 (H,wt=17): 9239 K(x,T(y,z \ (x * u))) = K(x,T(y,z \ u)). [hyper(228,a,8162,a(flip),b,9238,a(flip)),flip(a)]. given #8203 (H,wt=17): 9240 K(x,T(y,(x * z) \ u)) = K(x,T(y,z \ u)). [para(13(a,1),9238(a,1,2,2,1)),flip(a)]. given #8204 (H,wt=17): 9241 K(x,T(y,z \ (u * x))) = K(x,T(y,z \ u)). [hyper(228,a,8821,a,b,9239,a(flip)),flip(a)]. given #8205 (H,wt=19): 9243 K(x \ y,T(z,u \ y)) = K(x \ y,T(z,u \ x)). [para(14(a,1),9241(a,1,2,2,2))]. given #8206 (H,wt=20): 9244 K(x \ 1,T(y,z \ x)) != u | K(x \ 1,T(y,z)) = u. [para(9243(a,1),8183(a,1))]. given #8207 (H,wt=21): 9237 K(x,K(y,T(z \ (y * u),u))) = K(T(y,u),K(x,z \ u)). [para(7202(a,1),9229(a,1,2))]. given #8208 (H,wt=19): 9245 K(T(x,y),K(z,u \ y)) = K(z,K(x,(x * y) / u)). [para(7935(a,1),9237(a,1,2)),flip(a)]. given #8209 (H,wt=19): 9246 K(T(x,y),K(z,u \ y)) = K(x,K(z,(x * y) / u)). [hyper(228,a,7723,a,b,9245,a)]. given #8210 (H,wt=19): 9247 K(x,K(T(y,z),u \ z)) = K(y,K(x,(y * z) / u)). [hyper(7725,a,9246,a)]. given #8211 (H,wt=17): 9248 K(x,K(y,(x * z) / u)) = K(y,K(x,z / u)). [para(7847(a,1),9247(a,1,2)),flip(a)]. given #8212 (H,wt=20): 9249 K(x,K(y,(x * z) / u)) != w | K(x,K(y,z / u)) = w. [para(9248(a,2),7725(a,1))]. given #8213 (H,wt=22): 9242 K(x,T(y,(z * u) \ ((x * z) * u))) = K(x,T(y,a(x,z,u))). [para(24(a,2),9240(a,1,2,2)),flip(a)]. given #8214 (H,wt=21): 9250 K(x,T(y,R(T(x,z * u),z,u))) = K(x,T(y,a(x,z,u))). [para(595(a,1),9242(a,1,2,2))]. given #8215 (H,wt=12): 9251 K(x,T(y,a(x,z,u))) = K(x,y). [hyper(7966,a,9250,a),flip(a)]. given #8216 (H,wt=14): 9254 T(x,T(y,a(x,z,u))) = x * K(x,y). [para(9251(a,1),4705(a,2,2))]. given #8217 (H,wt=12): 9255 T(x,T(y,a(x,z,u))) = T(x,y). [hyper(228,a,4705,a,b,9254,a)]. given #8218 (H,wt=17): 9252 K(x,y / a(x,z,u)) = K(x,a(x,z,u) \ y). [hyper(7960,a,9251,a)]. given #8219 (H,wt=23): 8446 (x * K(y \ (z \ x),z)) * u = (y * ((z \ (y \ x)) * z)) * u. [hyper(22,a,7477,a)]. given #8220 (H,wt=23): 8465 L(x,y,z * (K(u,z) / T(z,w))) = L(x,y,K(u,z) * K(w,z)). [para(7615(a,1),6808(a,1,3,2))]. given #8221 (H,wt=23): 8495 K(x,y) * K(y,K(z,T(x,x * u))) = T(K(x,y),T(z,u * x)). [para(4066(a,1),8000(a,1,2,2,2))]. given #8222 (H,wt=19): 9259 T(K(x,y),T(z,u * x)) = T(K(x,y),T(z,x * u)). [hyper(8330,a,8495,a),flip(a)]. given #8223 (H,wt=23): 8501 K(x,(1 / y) * ((z \ ((1 / y) \ 1)) * z)) = K(x,K(y \ z,z)). [para(5621(a,1),8094(a,2,2))]. given #8224 (H,wt=21): 9261 K(x,(1 / y) * ((z \ ((1 / y) \ 1)) * z)) = K(x,K(y,z)). [hyper(228,a,8060,a(flip),b,8501,a)]. given #8225 (H,wt=17): 9262 K(x,(1 / y) * ((z \ y) * z)) = K(x,K(y,z)). [para(64(a,1),9261(a,1,2,2,1,2))]. given #8226 (H,wt=17): 9263 K(x,(y \ 1) * ((z \ y) * z)) = K(x,K(y,z)). [hyper(228,a,5384,a(flip),b,9262,a(flip)),flip(a)]. given #8227 (H,wt=23): 8573 K(x \ (y / (z * y)),z \ 1) = K(x \ ((z * y) \ y),z \ 1). [para(5419(a,1),8566(a,1,1,2))]. given #8228 (H,wt=23): 8582 K(x,K(y,z)) * (K(x,x \ y) * u) = K(x,T(x \ y,z)) * u. [para(7810(a,1),8429(a,1,1))]. given #8229 (H,wt=23): 8599 R(x,T(K(y,z),u),u * K(z,w)) = R(x,K(y,z),u * K(z,w)). [para(8598(a,1),8471(a,1,2))]. given #8230 (H,wt=23): 8649 (x * K(y,(z * u) \ (y \ w))) \ x = K((z * (u * y)) \ w,y). [para(8584(a,1),5037(a,1,1,2))]. given #8231 (H,wt=19): 9266 K((x * (y * z)) \ u,z) = K((x * y) \ (z \ u),z). [hyper(5085,a,8649,a),flip(a)]. given #8232 (H,wt=19): 9267 K((x * (y * z)) \ u,y) = K((x * z) \ (y \ u),y). [hyper(228,a,8559,a(flip),b,9266,a(flip)),flip(a)]. given #8233 (H,wt=21): 9268 K((x * y) \ ((1 / y) \ z),1 / y) = K(x \ z,1 / y). [para(63(a,1),9267(a,1,1,1)),flip(a)]. given #8234 (H,wt=23): 8712 K(x,R(T(x,y),z,u) * (w \ 1)) = K(x,w \ R(T(x,y),z,u)). [hyper(6170,a,7322,a)]. given #8235 (H,wt=21): 9271 K(x,y \ R(T(x,z),u,w)) = K(x,R(x,u,w) * (y \ 1)). [hyper(228,a,7402,a(flip),b,8712,a(flip))]. given #8236 (H,wt=19): 9273 K(x,y \ R(T(x,z),u,w)) = K(x,y \ R(x,u,w)). [hyper(228,a,6231,a(flip),b,9271,a)]. given #8237 (H,wt=19): 9274 K(x,R(T(x,y),z,u) / w) = K(x,w \ R(x,z,u)). [hyper(228,a,7322,a,b,9273,a(flip)),flip(a)]. given #8238 (H,wt=19): 9276 K(x,R(T(x,y),z,u) / w) = K(x,R(x,z,u) / w). [hyper(228,a,6227,a,b,9274,a)]. given #8239 (H,wt=22): 9277 K(x,R(T(x,y),z,u) / w) != v5 | K(x,w \ R(x,z,u)) = v5. [para(9276(a,2),7644(a,1))]. given #8240 (H,wt=23): 8752 K(x,y \ ((x \ y) * z)) != u | L(K(x,x \ z),z,x \ y) = u. [para(7407(a,1),7537(a,1))]. given #8241 (H,wt=23): 8758 T(T(x,1 / (y / z)),K(u,z / y)) = T(x,1 / T(y / z,u)). [para(5412(a,1),8756(a,1,2))]. given #8242 (H,wt=21): 9278 T(T(x,1 / (y / z)),K(y,z)) = T(x,1 / T(y / z,y)). [hyper(8177,a,8758,a)]. given #8243 (H,wt=21): 9279 T(T(x,1 / (y / z)),K(z,z / y)) = T(x,1 / (z \ y)). [para(115(a,1),8758(a,2,2,2))]. given #8244 (H,wt=19): 9280 T(T(x,1 / (y / z)),K(y,z)) = T(x,1 / (z \ y)). [hyper(228,a,8127,a(flip),b,9279,a(flip)),flip(a)]. given #8245 (H,wt=17): 9281 T(x,1 / T(y / z,y)) = T(x,1 / (z \ y)). [hyper(228,a,9278,a(flip),b,9280,a(flip)),flip(a)]. given #8246 (H,wt=17): 9282 T(x,T(1 / (y / z),y)) = T(x,1 / (z \ y)). [hyper(8757,a,9281,a)]. given #8247 (H,wt=17): 9283 T(x,1 / ((y \ z) \ z)) = T(x,T(1 / y,z)). [para(61(a,1),9282(a,1,2,1,2)),flip(a)]. given #8248 (H,wt=17): 9284 T(x,T(1 / (y \ z),z)) = T(x,1 / (z / y)). [hyper(228,a,8296,a(flip),b,9283,a(flip))]. given #8249 (H,wt=19): 9285 T(x,K(y,z / y) / (z \ y)) = T(x,1 / (y / z)). [hyper(228,a,8270,a,b,9284,a(flip)),flip(a)]. given #8250 (H,wt=23): 8825 T(x,R(y / (y / z),u,w)) = x * K(T(x,z \ y),R(z,u,w)). [para(3906(a,1),8041(a,1,2,1))]. given #8251 (H,wt=21): 9286 T(x,R(y / (y / z),u,w)) = x * K(T(x,y),R(z,u,w)). [para(8981(a,1),8825(a,2,2))]. given #8252 (H,wt=21): 9287 T(x,R((y * z) / y,u,w)) = T(x,R(y / (y / z),u,w)). [hyper(228,a,8041,a,b,9286,a),flip(a)]. given #8253 (H,wt=19): 9288 T(x,R(y / (y / z),u,w)) = T(x,R(T(z,y),u,w)). [hyper(228,a,8487,a(flip),b,9287,a(flip))]. given #8254 (H,wt=19): 9289 T(x,R(T(y,y \ z),u,w)) = T(x,R(T(y,z),u,w)). [hyper(228,a,8595,a,b,9288,a(flip)),flip(a)]. given #8255 (H,wt=19): 9290 T(x,R((y \ z) \ z,u,w)) = T(x,R(T(y,z),u,w)). [para(114(a,1),9289(a,1,2,1))]. given #8256 (H,wt=23): 8897 R(T(x * y,x) / x,z,u) = R(y,z,u) * a(x,R(y,z,u),x). [hyper(228,a,1685,a,b,8883,a(flip)),flip(a)]. given #8257 (H,wt=22): 9292 R(x,y,z) * a(u,R(x,y,z),u) = R(x * a(u,x,u),y,z). [para(8883(a,1),8897(a,1,1)),flip(a)]. given #8258 (H,wt=23): 8937 (x * K(y,z)) * K(u,T(y,w)) = x * (K(y,z) * K(u,T(y,w))). [para(8936(a,1),100(a,1,2))]. given #8259 (H,wt=23): 8948 x \ ((x \ L(x,y,x)) * T(x,z)) = T(x,z) * (R(x,y,x) \ 1). [para(8947(a,1),4605(a,2,2))]. given #8260 (H,wt=21): 9293 x \ ((x \ L(x,y,x)) * T(x,z)) = R(x,y,x) \ T(x,z). [hyper(228,a,2018,a(flip),b,8948,a)]. given #8261 (H,wt=19): 9294 x \ (K(x,y) * L(x,z,x)) = R(x,z,x) \ T(x,y). [para(4993(a,1),9293(a,1,2))]. given #8262 (H,wt=17): 9295 R(x,y,x) \ T(x,z) = x \ L(T(x,z),y,x). [para(7025(a,1),9294(a,1,2)),flip(a)]. given #8263 (H,wt=19): 9296 R((x * y) / x,z,y) \ y = y \ L(T(y,x),z,y). [hyper(228,a,7097,a,b,9295,a(flip)),flip(a)]. given #8264 (H,wt=23): 8966 K(x,y \ (x \ ((x * z) * y))) = ((z * x) * y) \ ((x * z) * y). [para(13(a,1),8439(a,1,1,1,1)),flip(a)]. given #8265 (H,wt=20): 9300 ((x * y) * z) \ ((y * x) * z) = K(y,R(T(x,z),y,z)). [hyper(228,a,8691,a(flip),b,8966,a(flip))]. given #8266 (H,wt=23): 8977 T(K(x \ (y * x),x) * z,y * x) = K(y,x) * T(z,y * x). [para(4881(a,1),8976(a,2,1))]. given #8267 (H,wt=19): 9301 T(K(x,y) * z,x * y) = K(x,y) * T(z,x * y). [para(4881(a,1),8977(a,1,1,1))]. given #8268 (H,wt=19): 9302 T(x * K(y,z),z * y) = T(x,z * y) * K(y,z). [hyper(6586,a,9301,a),flip(a)]. given #8269 (H,wt=23): 8986 R(K(x,K(y,z \ 1)),u,w) * x = T(x,K(R(z,u,w) \ 1,y)). [para(8760(a,2),7758(a,1,1))]. given #8270 (H,wt=21): 9305 T(x,K(R(y,z,u) \ 1,w)) = R(K(x,K(y,w)),z,u) * x. [para(8073(a,1),8986(a,1,1,1)),flip(a)]. given #8271 (H,wt=21): 9306 T(x,K(R(y,z,u) \ 1,w)) = K(x,R(K(y,w),z,u)) * x. [para(8763(a,1),9305(a,2,1))]. given #8272 (H,wt=19): 9307 T(x,K(R(y,z,u) \ 1,w)) = T(x,R(K(y,w),z,u)). [hyper(228,a,4712,a,b,9306,a)]. given #8273 (H,wt=17): 9308 T(x,R(K(y,z),u,w)) = T(x,K(z,R(y,u,w))). [hyper(8123,a,9307,a),flip(a)]. given #8274 (H,wt=17): 9309 T(x,K(y,R(z,u,w))) = T(x,K(z,R(y,u,w))). [hyper(9082,a,9308,a)]. given #8275 (H,wt=20): 9310 T(x,K(y,R(z,u,w))) != v5 | T(x,K(z,R(y,u,w))) = v5. [para(9308(a,1),9082(a,1))]. given #8276 (H,wt=23): 9057 K(x,y) * T((x \ 1) * z,K(x,y)) = (x \ 1) * (z * K(x,y)). [para(9056(a,2),6556(a,1,2))]. given #8277 (H,wt=19): 9312 ((x \ 1) * y) * K(x,z) = (x \ 1) * (y * K(x,z)). [hyper(219,a,9057,a)]. given #8278 (H,wt=12): 9313 L(K(x,y),z,x \ 1) = K(x,y). [hyper(445,a,9312,a)]. given #8279 (H,wt=14): 9316 L(K(x \ 1,y),z,x) = K(x \ 1,y). [hyper(228,a,3452,a(flip),b,9313,a(flip)),flip(a)]. given #8280 (H,wt=14): 9317 K(L(x,y,x) \ 1,z) = K(x \ 1,z). [hyper(6147,a,9316,a)]. given #8281 (H,wt=14): 9319 K(R(x,y,x) \ 1,z) = K(x \ 1,z). [para(4265(a,1),9317(a,1,1,1)),flip(a)]. given #8282 (H,wt=16): 9320 R(K(x,y),z,x \ 1) = K((x \ 1) \ 1,y). [hyper(228,a,6122,a(flip),b,9319,a(flip)),flip(a)]. given #8283 (H,wt=12): 9322 R(K(x,y),z,x \ 1) = K(x,y). [hyper(228,a,2857,a(flip),b,9320,a)]. given #8284 (H,wt=12): 9323 K(x,R(y,z,x \ 1)) = K(x,y). [hyper(9188,a,9322,a)]. given #8285 (H,wt=14): 9324 T(x,R(y,z,x \ 1)) = x * K(x,y). [para(9323(a,1),4705(a,2,2))]. given #8286 (H,wt=12): 9326 T(x,R(y,z,x \ 1)) = T(x,y). [hyper(228,a,4705,a,b,9324,a)]. given #8287 (H,wt=19): 9315 ((x \ 1) * (y * K(x,z))) \ ((x \ 1) * y) = K(z,x). [para(9312(a,1),5037(a,1,1))]. given #8288 (H,wt=12): 9328 L(K(x,y),z,y \ 1) = K(x,y). [hyper(6443,a,9315,a)]. given #8289 (H,wt=12): 9329 K(L(x,y,z \ 1),z) = K(x,z). [hyper(9005,a,9328,a)]. given #8290 (H,wt=19): 9318 (x * y) * K(x \ 1,z) = x * (y * K(x \ 1,z)). [para(9316(a,1),100(a,1,2))]. given #8291 (H,wt=10): 9335 R(x,y,K(x \ 1,z)) = x. [hyper(476,a,9318,a)]. given #8292 (H,wt=14): 9336 R(T(x,y),z,K(x \ 1,u)) = T(x,y). [para(9335(a,1),42(a,2,1))]. given #8293 (H,wt=13): 9339 T(x,y * K(x \ 1,z)) = T(x,y). [hyper(228,a,6401,a(flip),b,9336,a(flip))]. given #8294 (H,wt=13): 9343 T(x,K(x \ 1,y) * z) = T(x,z). [para(7174(a,1),9339(a,1,2))]. given #8295 (H,wt=13): 9345 T(x,K(1 / x,y) * z) = T(x,z). [para(2853(a,2),9343(a,1,2,1))]. given #8296 (H,wt=13): 9348 T(x,K(y,1 / x) * z) = T(x,z). [para(5042(a,1),9345(a,1,2)),flip(a)]. given #8297 (H,wt=15): 9341 K(x,y * K(x \ 1,z)) = x \ T(x,y). [hyper(71,a,9339,a(flip),b,4705,a(flip)),flip(a)]. given #8298 (H,wt=13): 9350 K(x,y * K(x \ 1,z)) = K(x,y). [hyper(228,a,4649,a,b,9341,a)]. given #8299 (H,wt=13): 9351 K(x,y * K(z,x \ 1)) = K(x,y). [para(5062(a,1),9350(a,1,2)),flip(a)]. given #8300 (H,wt=15): 9344 T(x,T(y,x \ 1) \ z) = T(x,y \ z). [para(8191(a,1),9339(a,1,2))]. given #8301 (H,wt=15): 9346 T(x \ 1,K(x,y) * z) = T(x \ 1,z). [para(2857(a,1),9343(a,1,2,1))]. given #8302 (H,wt=15): 9349 K(K(x,1 / y) * z,y) = y / T(y,z). [para(9348(a,1),4645(a,2,2))]. given #8303 (H,wt=13): 9355 K(K(x,1 / y) * z,y) = K(z,y). [hyper(228,a,4645,a,b,9349,a)]. given #8304 (H,wt=13): 9356 K(K(x,y \ 1) * z,y) = K(z,y). [para(3240(a,1),9355(a,1,1,1))]. given #8305 (H,wt=13): 9360 K(x * K(y,z \ 1),z) = K(x,z). [para(7326(a,1),9356(a,1,1))]. given #8306 (H,wt=15): 9352 K(x,T(y,x \ 1) \ z) = K(x,y \ z). [para(8191(a,1),9350(a,1,2))]. given #8307 (H,wt=15): 9357 K(T(x,1 / y) / z,y) = K(x / z,y). [para(6190(a,1),9355(a,1,1))]. given #8308 (H,wt=15): 9359 K(x \ T(y,z \ 1),z) = K(x \ y,z). [para(5848(a,1),9356(a,1,1))]. given #8309 (H,wt=15): 9361 K(x / T(y,z \ 1),z) = K(x / y,z). [para(5180(a,1),9360(a,1,1)),flip(a)]. given #8310 (H,wt=17): 9353 K(x \ y,z * K(u,y \ x)) = K(x \ y,z). [para(5558(a,1),9351(a,1,2,2))]. given #8311 (H,wt=17): 9358 K(K(x,x \ y) * z,x / y) = K(z,x / y). [para(5141(a,1),9356(a,1,1,1))]. given #8312 (H,wt=17): 9362 K(x * K(y,z \ u),u \ z) = K(x,u \ z). [para(5558(a,1),9360(a,1,1,2))]. given #8313 (H,wt=19): 9321 (K(x \ 1,y) * z) * x = K(x \ 1,y) * (z * x). [para(9319(a,1),6120(a,1,1)),flip(a)]. given #8314 (H,wt=10): 9369 L(x,y,K(x \ 1,z)) = x. [hyper(445,a,9321,a)]. given #8315 (H,wt=12): 9372 L(x \ 1,y,K(x,z)) = x \ 1. [para(2857(a,1),9369(a,1,3))]. given #8316 (H,wt=19): 9347 T(x,(y / (x \ 1)) \ z) = T(x,((x \ 1) \ y) \ z). [para(5915(a,1),9343(a,1,2)),flip(a)]. given #8317 (H,wt=19): 9366 K(x \ y,z * (x / y)) = K(x \ y,z * (y \ x)). [para(6040(a,1),9353(a,1,2))]. given #8318 (H,wt=19): 9367 K((x / y) \ z,y / x) = K((y \ x) \ z,y / x). [para(5915(a,1),9358(a,1,1)),flip(a)]. given #8319 (H,wt=19): 9368 K(x * (y / z),y \ z) = K(x * (z \ y),y \ z). [para(6040(a,1),9362(a,1,1))]. given #8320 (H,wt=20): 9373 (K(x,y) * (z * x)) \ (K(x,y) * z) = L(x \ 1,x,z). [para(9372(a,1),842(a,1,1)),flip(a)]. given #8321 (H,wt=21): 9325 R(x * K(y,x),z,y \ 1) = R(x,z,y \ 1) * K(y,x). [para(9323(a,1),5822(a,1,2)),flip(a)]. given #8322 (H,wt=21): 9334 K(((x \ 1) * y) \ z,T(x,y)) = K(((x \ 1) \ z) / y,x). [hyper(8158,a,9329,a)]. given #8323 (H,wt=21): 9375 K(((x / y) \ 1) * z,y / x) = K((y \ x) \ z,y / x). [hyper(228,a,5635,a,b,9367,a(flip)),flip(a)]. given #8324 (H,wt=21): 9377 R(x * K(y,x),z,y \ 1) = K(y,x) * R(x,z,y \ 1). [hyper(228,a,2507,a(flip),b,9325,a)]. given #8325 (H,wt=23): 9101 K(x,T(y \ (R(x,z,u) * w),w)) = K(x,(R(x,z,u) * w) / y). [hyper(8176,a,9099,a),flip(a)]. given #8326 (H,wt=23): 9105 K(x,T(y / ((z * x) * u),z * u)) = K(x,((z * x) * u) \ y). [para(115(a,1),9104(a,1,2)),flip(a)]. given #8327 (H,wt=23): 9141 R(K(x,y),z * (K(u,y) * x),w) = K(R(K(u,y) * x,z,w),y). [para(7308(a,1),9138(a,1,1))]. given #8328 (H,wt=23): 9145 x * (K(y,z) * L(T(y,x),u,w)) = L(y,u,w) * (x * K(y,z)). [hyper(6054,a,7062,a)]. given #8329 (H,wt=23): 9148 T(T(x * K(y,x),z),u) \ T(T(x,z),u) = K(x,T(T(y,u),z)). [hyper(228,a,7202,a(flip),b,7211,a)]. given #8330 (H,wt=23): 9150 (x * K(y,T(z,u))) * K(z,w) = (x * K(z,w)) * K(y,T(z,u)). [para(7202(a,1),7244(a,1,1,2))]. given #8331 (H,wt=23): 9160 T(T(x,y),K(z,x)) * ((T(x,y) * K(z,x)) \ u) = K(z,x) \ u. [para(9159(a,1),714(a,1,1)),flip(a)]. given #8332 (H,wt=23): 9163 K(x,y) * (z * T(z \ (K(x,y) \ u),x)) = z * T(z \ u,x). [hyper(228,a,409,a(flip),b,7584,a)]. given #8333 (H,wt=23): 9204 T(K(x,y) / z,K(x,y)) * K(u,z) = K(x,T(y,z)) / T(z,u). [para(9203(a,2),5205(a,1,1))]. given #8334 (H,wt=21): 9384 ((1 / x) * K(y,z)) * K(u,x) = K(y,T(z,x)) / T(x,u). [para(8605(a,1),9204(a,1,1))]. given #8335 (H,wt=23): 9219 K(x,((y \ x) * (y / z)) \ x) != u | L(K(x,z),y,y \ x) = u. [para(9218(a,1),6325(a,1))]. given #8336 (H,wt=23): 9221 x \ ((y / z) \ (x * (z \ y))) = K(x,y / z) * K(z \ y,z). [hyper(71,a,9220,a(flip),b,4675,a)]. given #8337 (H,wt=21): 9385 x \ ((y / z) \ (x * (z \ y))) = z \ (y / T(y / z,x)). [hyper(228,a,9151,a(flip),b,9221,a)]. given #8338 (H,wt=23): 9222 K(x,y) * (K(z,x) * (u * K(y,x))) = T(K(z,x) * u,K(x,y)). [para(5062(a,1),8394(a,1,1,2)),flip(a)]. given #8339 (H,wt=23): 9226 K(x,K(y,R(z,u,w) * (z \ y))) = K(x,K(y,z \ R(z,u,w))). [para(1221(a,1),9224(a,1,2,2))]. given #8340 (H,wt=23): 9231 T(K(x,y),(z \ (u * x)) \ 1) = K(x,y) * K(x,K(y,z \ u)). [para(9228(a,1),8092(a,1,2)),flip(a)]. given #8341 (H,wt=19): 9387 T(K(x,y),(z \ (u * x)) \ 1) = T(K(x,y),z \ u). [hyper(228,a,7705,a(flip),b,9231,a)]. given #8342 (H,wt=17): 9388 T(K(x,y),z \ (u * x)) = T(K(x,y),z \ u). [hyper(8331,a,9387,a)]. given #8343 (H,wt=17): 9389 T(K(x,y),z \ (u / x)) = T(K(x,y),z \ u). [para(16(a,1),9388(a,1,2,2)),flip(a)]. given #8344 (H,wt=23): 9257 K(x,a(x,y,y \ 1) \ (z \ R(x,y,y \ 1))) = K(x,z \ x). [hyper(228,a,8382,a(flip),b,9252,a(flip))]. given #8345 (H,wt=23): 9260 T(K(x,y \ (z * x)),T(y,x * z)) = T(K(x,y \ (z * x)),y). [hyper(8494,a,9259,a),flip(a)]. given #8346 (H,wt=21): 9391 T(K(x,y \ (z * x)),T(y,z)) = T(K(x,y \ (z * x)),y). [hyper(228,a,8823,a(flip),b,9260,a(flip)),flip(a)]. given #8347 (H,wt=21): 9392 K(x,T(y \ (z * x),T(y,z))) = T(K(x,y \ (z * x)),y). [hyper(7634,a,9391,a)]. given #8348 (H,wt=19): 9393 K(x,T(y \ (z * x),T(y,z))) = K(x,(y / z) \ x). [hyper(228,a,8377,a(flip),b,9392,a)]. given #8349 (H,wt=23): 9264 K(x,T(x \ y,z)) * (K(y,z) * x) = T(x,x \ y) * K(y,z). [hyper(228,a,6021,a(flip),b,8582,a(flip))]. given #8350 (H,wt=23): 9265 R(x,K(y,T(z,u)),u * K(z,w)) = R(x,K(y,z),u * K(z,w)). [para(7152(a,2),8599(a,1,2))]. given #8351 (H,wt=23): 9269 1 / (x \ K((y * z) \ (x \ u),x)) = T(x,(y * (x * z)) \ u). [para(9267(a,1),4806(a,2,2,2)),flip(a)]. given #8352 (H,wt=19): 9395 T(x,(y * (x * z)) \ u) = T(x,(y * z) \ (x \ u)). [hyper(4807,a,9269,a),flip(a)]. given #8353 (H,wt=19): 9396 T(x,(y * (z * x)) \ u) = T(x,(y * z) \ (x \ u)). [hyper(228,a,8635,a,b,9395,a(flip)),flip(a)]. given #8354 (H,wt=23): 9333 K(((x \ 1) * y) \ (z * (x \ 1)),x) = K(y \ T(z,x \ 1),x). [hyper(228,a,6331,a(flip),b,9328,a(flip)),flip(a)]. given #8355 (H,wt=23): 9381 (x * K(y,T(z,u))) * K(z,w) = x * (K(z,w) * K(y,T(z,u))). [hyper(228,a,8937,a(flip),b,9150,a)]. given #8356 (H,wt=23): 9382 T(T(x,y),K(z,x)) * ((T(x,y) * K(z,x)) \ u) = K(x,z) * u. [hyper(228,a,5035,a(flip),b,9160,a)]. given #8357 (H,wt=23): 9383 K(x,y) * (z * T(z \ u,x)) = z * T(z \ (K(x,y) * u),x). [para(13(a,1),9163(a,1,2,2,1,2))]. given #8358 (H,wt=24): 7156 R(T(K(x,(y / z) \ x),u),x,z) = K(x,T((y / (x * z)) \ 1,u)). [hyper(228,a,6955,a,b,7152,a),flip(a)]. given #8359 (H,wt=24): 7199 K(T(R(x,x \ y,y \ z),z),u) = K(((x \ y) * (y \ z)) \ z,u). [para(668(a,1),7126(a,1,1,1)),flip(a)]. given #8360 (H,wt=24): 7262 K(R(x,y,z),u * K(x,w)) = R(x * K(u,x),y,z) \ R(x,y,z). [para(7255(a,1),5834(a,1,1,1,2)),flip(a)]. given #8361 (H,wt=17): 9402 K(R(x,y,z),u * K(x,w)) = K(R(x,y,z),u). [hyper(228,a,5834,a(flip),b,7262,a)]. given #8362 (H,wt=17): 9403 K(R(x,y,z),u * K(w,x)) = K(R(x,y,z),u). [para(5062(a,1),9402(a,1,2)),flip(a)]. given #8363 (H,wt=24): 7338 (x / (y / z)) * K(u,z \ y) != w | x / T(y / z,T(u,z)) = w. [para(7217(a,1),5280(a,1,2))]. given #8364 (H,wt=24): 7412 L(K(x,y \ (x \ (z \ u))),z \ u,z) = K(x,(z * (x * y)) \ u). [para(7015(a,1),6300(a,1,1))]. given #8365 (H,wt=24): 7420 (K(x,y) * (z * x)) \ (K(x,y) * z) = L(x \ 1,x,K(x,y) * z). [para(7042(a,1),161(a,2,1)),flip(a)]. given #8366 (H,wt=17): 9405 L(x \ 1,x,K(x,y) * z) = L(x \ 1,x,z). [hyper(228,a,9373,a(flip),b,7420,a(flip))]. given #8367 (H,wt=17): 9407 L(x \ 1,x,y * K(x,z)) = L(x \ 1,x,y). [para(7823(a,1),9405(a,1,3))]. given #8368 (H,wt=15): 9408 L(x \ 1,T(x,y),z) = L(x \ 1,x,z). [hyper(6518,a,9407,a)]. given #8369 (H,wt=22): 9410 T(x * L(x \ 1,x,y),z) = T(x,z) * ((y * T(x,z)) \ y). [para(9408(a,1),2043(a,1,1,2))]. given #8370 (H,wt=24): 7564 L(x,y,z) \ L(T(x,T(u,w)),y,z) = K(L(x,y,z),T(u,x \ w)). [para(7560(a,1),4706(a,1,2,1))]. given #8371 (H,wt=19): 9414 K(L(x,y,z),T(u,x \ w)) = K(L(x,y,z),T(u,w)). [hyper(4930,a,7564,a),flip(a)]. given #8372 (H,wt=19): 9415 K(L((x \ y) \ y,z,u),w) = K(L(x,z,u),T(w,y)). [hyper(228,a,7222,a,b,9414,a(flip)),flip(a)]. given #8373 (H,wt=24): 7568 L(T(x,T(y,z)),K(x,z),z * x) = (x * z) \ ((T(x,y) * z) * x). [para(7502(a,1),1216(a,1,1))]. given #8374 (H,wt=17): 9417 (x * y) \ ((T(x,z) * y) * x) = T(x,T(z,y)). [hyper(228,a,6050,a(flip),b,7568,a(flip))]. given #8375 (H,wt=24): 7578 T(K(x \ y,x) * z,x \ y) != u | (y / x) \ (z * (x \ y)) = u. [para(7542(a,2),6358(a,1))]. given #8376 (H,wt=24): 7631 (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) != u | K(z,T(x,y)) = u. [para(621(a,2),7147(a,1))]. given #8377 (H,wt=24): 7655 K(x \ T(x * y,z),T(u,x)) != w | K(x \ T(y * x,z),u) = w. [para(4454(a,1),7646(a,1,1))]. given #8378 (H,wt=24): 7677 (x * (y * T(x,z))) \ ((x * y) * T(x,z)) = a(x,y * K(x,z),x). [para(7008(a,1),5219(a,1,2))]. given #8379 (H,wt=15): 9420 a(x,y * K(x,z),x) = a(x,y,T(x,z)). [hyper(663,a,7677,a),flip(a)]. given #8380 (H,wt=14): 9421 a(x,y,T(x,z)) != u | a(x,y,x) = u. [para(9420(a,1),9044(a,1))]. given #8381 (H,wt=24): 7687 K(R((x * y) / x,z,u),T(w,y * x)) = K(R(L(y,x,y),z,u),w). [para(683(a,1),7215(a,1,1,1)),flip(a)]. given #8382 (H,wt=24): 7799 ((K(x,y) * z) * u) / (K(x,y) * u) = T(R(z,K(x,y),u),K(x,y)). [para(729(a,2),7789(a,1,1)),flip(a)]. given #8383 (H,wt=24): 7854 K(T(x,y),R(T(z,y * u),y,u)) = K(x,(y * u) \ ((y * z) * u)). [para(1038(a,1),7829(a,1,2))]. given #8384 (H,wt=15): 9423 K(x,K(y,(z * u) \ ((z * x) * u))) = 1. [para(7854(a,1),7982(a,1,2))]. given #8385 (H,wt=24): 7885 R(T(K(x,T(y,z)),z * u),z,u) = (z * u) \ ((z * K(x,y)) * u). [para(7823(a,1),595(a,1,2,1)),flip(a)]. given #8386 (H,wt=24): 7914 K(x,L(y / (z \ u),z \ u,z)) = K(x,T(u \ (z * y),z \ u)). [para(802(a,1),7843(a,1,2))]. given #8387 (H,wt=23): 9425 K(x,K(y,T(z \ (x * u),x \ z))) = K(x,K(y,u / (x \ z))). [para(7914(a,1),7029(a,1,2))]. given #8388 (H,wt=21): 9426 K(x,K(y,T(z \ (x * u),z))) = K(x,K(y,u / (x \ z))). [hyper(228,a,8831,a(flip),b,9425,a(flip)),flip(a)]. given #8389 (H,wt=19): 9427 K(x,K(y,(x * z) / u)) = K(x,K(y,z / (x \ u))). [para(7842(a,1),9426(a,1,2))]. given #8390 (H,wt=17): 9428 K(x,K(y,z / (x \ u))) = K(x,K(y,z / u)). [hyper(9249,a,9427,a),flip(a)]. given #8391 (H,wt=17): 9429 K(x,K(y,z / (x * u))) = K(x,K(y,z / u)). [para(13(a,1),9428(a,1,2,2,2)),flip(a)]. given #8392 (H,wt=24): 8010 R(K(x,y),z,u) \ R(T(K(x,y),w),z,u) = K(w,R(K(x,y),z,u)). [para(7762(a,1),5832(a,1,2,1))]. given #8393 (H,wt=24): 8038 (x * (K(y,z) * K(x,u))) * K(z,y) != w | T(x,T(u,K(y,z))) = w. [para(7887(a,1),5065(a,1,1)),flip(b)]. given #8394 (H,wt=24): 8044 L(x \ (y / K(z,u)),x,K(z,u)) = (K(z,u) * x) \ T(y,K(z,u)). [para(7938(a,1),102(a,2,2))]. given #8395 (H,wt=24): 8174 K(x \ (y * T(z,u)),T(z,y)) != w | K((y * T(z,u)) / x,z) = w. [para(7482(a,1),7972(a,1))]. given #8396 (H,wt=24): 8175 K(x,y \ R(T(x,z),u,w)) != v5 | K(x,R(T(x,z),u,w) / y) = v5. [para(790(a,1),7977(a,1,1))]. given #8397 (H,wt=24): 8237 K(x * K(T(x,y),z),T(u,y)) != w | K(K(y,x) * T(x,z),u) = w. [para(7604(a,1),7962(a,1,1))]. given #8398 (H,wt=24): 8280 T(x,y) * T(x \ K(x,z),x) != u | (x \ K(x,z)) * T(x,y) = u. [para(8052(a,1),219(a,1,2))]. given #8399 (H,wt=24): 8373 R(K(x,(y / (z / u)) \ x),z / u,u) = K(x,z / ((x \ y) * u)). [para(8367(a,1),6937(a,1,1))]. given #8400 (H,wt=24): 8408 K(x,T(y,(y \ z) \ u)) != K(x,y) * w | K(x,K(y,z \ u)) = w. [para(8403(a,2),7984(a,1))]. given #8401 (H,wt=24): 8415 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K(x,(z * (y / x)) \ u). [para(8413(a,1),6300(a,1,1))]. given #8402 (H,wt=24): 8418 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K(x,(z * (x \ y)) \ u). [para(8414(a,1),6300(a,1,1))]. given #8403 (H,wt=24): 8591 (x \ R(x,y,x)) * T(K(y,x),z) = K(y * x,x) * K(y,K(x,z)). [para(5776(a,1),8468(a,1,1))]. given #8404 (H,wt=24): 8592 T(L(K(x,y),z,u) \ w,L(K(x,y),z,u)) = w / L(K(x,y),z,u). [hyper(5123,a,8470,a),flip(a)]. given #8405 (H,wt=24): 8593 T(R(K(x,y),z,u) \ w,R(K(x,y),z,u)) = w / R(K(x,y),z,u). [hyper(171,a,8475,a(flip),b,3757,a(flip))]. given #8406 (H,wt=21): 9433 x / (x / R(K(y,z),u,w)) = (R(K(y,z),u,w) \ x) \ x. [para(8593(a,1),3986(a,1,2))]. given #8407 (H,wt=24): 8602 K(x,K(y \ (z \ u),L(w,y,z))) = K(x,K(x / w,(z * y) \ u)). [para(222(a,1),8516(a,1,2,2)),flip(a)]. given #8408 (H,wt=24): 8669 L(K(x,T(y,z)),z,L(y,u,w)) = K(x,T(y,L(y,u,w) * (y \ z))). [para(1365(a,1),7268(a,1,2)),flip(a)]. given #8409 (H,wt=22): 9434 L(K(x,T(y,z)),z,L(y,u,w)) = K(x,T(y,L(y,u,w) * z)). [hyper(228,a,7149,a(flip),b,8669,a)]. given #8410 (H,wt=24): 8690 T(x,y) * (K(y * R(x,z,u),x) * w) = R(x,y,R(x,z,u)) * w. [para(8527(a,1),5708(a,1,1)),flip(a)]. given #8411 (H,wt=22): 9435 K(x * R(y,z,u),y) * K(y,x) = y \ R(y,x,R(y,z,u)). [hyper(6148,a,8690,a),flip(a)]. given #8412 (H,wt=24): 8693 (L(x,y,z) * (u * K(x,w))) \ (L(x,y,z) * u) != v5 | K(w,x) = v5. [para(7011(a,1),5085(a,1,1))]. given #8413 (H,wt=16): 9437 L(K(x,y),z,L(y,u,w)) != v5 | K(x,y) = v5. [para(6437(a,1),8693(a,1))]. given #8414 (H,wt=13): 9438 L(K(x,y),z,y) != u | K(x,y) = u. [para(333(a,1),9437(a,1,3))]. given #8415 (H,wt=13): 9441 K(x,L(y,z,y)) != u | K(x,y) = u. [para(6315(a,1),9438(a,1))]. given #8416 (H,wt=24): 8696 R(x,y,z) * (u * K(x,w)) != (R(x,y,z) * u) * v5 | K(x,w) = v5. [para(7012(a,1),19(a,1))]. given #8417 (H,wt=24): 9034 ((x * y) / x) / ((x * (y * K(z,y))) / x) != u | K(y,T(z,x)) = u. [para(9003(a,1),5047(a,1,2))]. given #8418 (H,wt=24): 9047 K(x,R(T(y,z * u),y \ z,u)) = K(x,((y \ z) * u) \ (z * u)). [para(61(a,1),7197(a,1,2,1,1))]. given #8419 (H,wt=22): 9442 K(x,((y \ z) * u) \ (z * u)) = R(K(x,T(y,z * u)),z,u). [hyper(228,a,8646,a(flip),b,9047,a(flip))]. given #8420 (H,wt=24): 9059 K(x * (((y * z) \ y) \ 1),z) != u | K(((y * z) \ y) \ x,z) = u. [para(5633(a,2),7874(a,1))]. given #8421 (H,wt=24): 9060 L(K(x,T(T(y,z),u * z)),z,u) = (u * (K(x,y) * z)) / (u * z). [para(7174(a,1),7898(a,1,1,2)),flip(a)]. given #8422 (H,wt=24): 9147 K(x,T((y \ 1) * ((z \ y) * z),u)) != w | K(z,K(x,T(y,u))) = w. [para(7194(a,2),8342(a,1))]. given #8423 (H,wt=24): 9176 K(x,y) * K(T(L(x,z,u) * y,y),x) = L(x,y,L(x,z,u)) \ x. [para(1527(a,1),9175(a,1,1)),flip(a)]. given #8424 (H,wt=22): 9446 K(x,y) * K(L(x,z,u) * y,x) = L(x,y,L(x,z,u)) \ x. [para(8526(a,1),9176(a,1,2))]. given #8425 (H,wt=22): 9447 K(L(x,y,z) * u,x) * K(x,u) = L(x,u,L(x,y,z)) \ x. [hyper(1759,a,9446,a)]. given #8426 (H,wt=24): 9364 L(K(x,y \ (z \ u)),z \ u,z) = K(x,(z * T(y,x \ 1)) \ u). [para(9352(a,1),6300(a,1,1))]. given #8427 (H,wt=19): 9448 K(x,(y * T(z,x \ 1)) \ u) = K(x,(y * z) \ u). [hyper(6781,a,9364,a),flip(a)]. given #8428 (H,wt=19): 9449 K(x,((x \ 1) * y) \ z) = K(x,(y * (x \ 1)) \ z). [para(113(a,1),9448(a,1,2,1)),flip(a)]. given #8429 (H,wt=17): 9451 K(x,((x \ 1) * y) \ (x \ z)) = K(x,y \ z). [hyper(228,a,8662,a(flip),b,9449,a)]. given #8430 (H,wt=16): 9452 K(x,L(y,x \ 1,x) \ z) = K(x,y \ z). [hyper(228,a,7410,a(flip),b,9451,a(flip)),flip(a)]. given #8431 (H,wt=23): 9450 K(x,(y * (((x \ 1) * z) / (x \ 1))) \ u) = K(x,(y * z) \ u). [para(165(a,1),9448(a,1,2,1,2)),flip(a)]. given #8432 (H,wt=24): 9400 R(K(x,T((y / z) \ x,u)),x,z) = K(x,T((y / (x * z)) \ 1,u)). [para(7152(a,2),7156(a,1,1))]. given #8433 (H,wt=21): 9453 K(x,T((y / (x * z)) \ 1,u)) = K(x,T((y / z) \ x,u)). [hyper(4142,a,9400,a),flip(a)]. given #8434 (H,wt=17): 9455 K(x,T((y / z) \ x,y)) = K(x,y \ (x * z)). [hyper(228,a,8211,a(flip),b,9453,a(flip))]. given #8435 (H,wt=17): 9456 K(x,T((y / z) \ x,y)) = K(x,y \ (z * x)). [hyper(228,a,8412,a,b,9455,a)]. given #8436 (H,wt=17): 9457 K(x,y \ (x * (z \ y))) = K(x,T(z \ x,y)). [para(61(a,1),9455(a,1,2,1,1)),flip(a)]. given #8437 (H,wt=17): 9458 K(x,y \ ((z \ y) * x)) = K(x,T(z \ x,y)). [para(61(a,1),9456(a,1,2,1,1)),flip(a)]. given #8438 (H,wt=17): 9459 K(x,(y / x) \ (z \ y)) = K(x,T(z \ x,y)). [hyper(8344,a,9457,a)]. given #8439 (H,wt=19): 9461 K(x,T(y \ x,x * z)) = K(x,z \ (y \ (x * z))). [hyper(228,a,8416,a(flip),b,9458,a(flip))]. given #8440 (H,wt=17): 9463 K(x,y \ (z \ (x * y))) = K(x,T(z \ x,y)). [hyper(9115,a,9461,a),flip(a)]. given #8441 (H,wt=21): 9460 K(x,T(((y \ z) \ 1) \ x,y)) = K(x,T((y \ z) * x,z)). [hyper(228,a,8241,a,b,9458,a(flip))]. given #8442 (H,wt=19): 9465 K(x,T((y \ z) * x,z)) = K(x,T((y \ z) * x,y)). [hyper(228,a,6563,a(flip),b,9460,a(flip))]. given #8443 (H,wt=21): 9462 K(x \ y,T(z \ (x \ y),y)) = K(x \ y,x \ (z \ y)). [para(61(a,1),9459(a,1,2,1)),flip(a)]. given #8444 (H,wt=19): 9466 K(x / y,z \ (y \ x)) = K(y \ x,y \ (z \ x)). [hyper(7963,a,9462,a)]. given #8445 (H,wt=19): 9467 K(x \ y,(z * x) \ y) = K(x \ y,x \ (z \ y)). [hyper(228,a,8498,a(flip),b,9466,a(flip)),flip(a)]. given #8446 (H,wt=24): 9401 K(R(T(x,y),x \ z,z \ y),u) = K(((x \ z) * (z \ y)) \ y,u). [para(42(a,2),7199(a,1,1))]. given #8447 (H,wt=24): 9404 L(K(x,y \ (x \ (z \ u))),z \ u,z) = K(x,(z * y) \ (x \ u)). [hyper(228,a,8663,a(flip),b,7412,a)]. given #8448 (H,wt=24): 9422 K(R((x * y) / x,z,u),T(w,y * x)) = K(L(R(y,z,u),x,y),w). [para(44(a,1),7687(a,2,1))]. given #8449 (H,wt=22): 9470 K(R(x,y,z),T(T(u,x * w),w)) = K(L(R(x,y,z),w,x),u). [hyper(8157,a,9422,a)]. given #8450 (H,wt=22): 9471 K(R(x,y,z),T(T(u,w),x * w)) = K(L(R(x,y,z),w,x),u). [para(38(a,1),9470(a,1,2))]. given #8451 (H,wt=20): 9472 K(R(x,y,z),T(T(u,w),w)) = K(L(R(x,y,z),w,x),u). [hyper(228,a,8751,a(flip),b,9471,a(flip)),flip(a)]. given #8452 (H,wt=16): 9473 K(L(R(x,y,z),u,x),w) = K(R(x,y,z),w). [hyper(7908,a,9472,a),flip(a)]. given #8453 (H,wt=16): 9475 K(R(L(x,y,x),z,u),w) = K(R(x,z,u),w). [para(44(a,2),9473(a,1,1))]. given #8454 (H,wt=18): 9476 K(R(x,x \ a(x,y,x),z),u) = K(L(x,y,x),u). [hyper(228,a,9013,a(flip),b,9475,a(flip))]. given #8455 (H,wt=15): 9477 K(R(x,x \ a(x,y,x),z),u) = K(x,u). [hyper(228,a,7016,a(flip),b,9476,a)]. given #8456 (H,wt=21): 9480 (K(x,y) * a(x,z,x)) * u = K(x,y) * (a(x,z,x) * u). [para(9477(a,1),6735(a,1,1)),flip(a)]. given #8457 (H,wt=18): 9481 K(x,x * y) * (a(x,y,x) * z) = K(x,y) * z. [para(8890(a,1),9480(a,1,1)),flip(a)]. given #8458 (H,wt=18): 9482 K(x * y,x) * (K(x,y) * z) = a(x,y,x) * z. [hyper(5071,a,9481,a)]. given #8459 (H,wt=18): 9483 K(x,y) * (a(x,y,x) \ z) = K(x,x * y) * z. [hyper(302,a,9481,a),flip(a)]. given #8460 (H,wt=18): 9485 K(x * y,y) * (K(y,x) * z) = a(y,x,y) * z. [para(5647(a,2),9482(a,1,1))]. given #8461 (H,wt=18): 9486 K(x,y) * (K(y,y * x) * z) = a(y,x,y) \ z. [hyper(5071,a,9483,a)]. given #8462 (H,wt=18): 9489 K(x,y) * (K(y,x * y) * z) = a(y,x,y) \ z. [para(5433(a,2),9486(a,1,2,1))]. given #8463 (H,wt=21): 9484 K(x,x * y) * z != K(x,y) * u | a(x,y,x) * u = z. [para(9481(a,1),19(a,1)),flip(a)]. given #8464 (H,wt=21): 9487 K(x,x * y) * z != K(x,y) * (a(x,y,x) \ u) | z = u. [para(9483(a,2),19(a,2))]. given #8465 (H,wt=22): 9488 K(x * y,y) * (x * (K(y,x) * z)) = a(y,x,y) * (x * z). [para(5164(a,1),9485(a,1,2))]. given #8466 (H,wt=24): 9424 R(K(x,T(T(y,z),z * u)),z,u) = (z * u) \ ((z * K(x,y)) * u). [para(7152(a,2),7885(a,1,1))]. given #8467 (H,wt=24): 9430 R(K(x,y),z,u) \ K(w,R(K(y,x),z,u)) = R(T(K(y,x),w),z,u). [hyper(71,a,8010,a(flip),b,6911,a(flip))]. given #8468 (H,wt=24): 9443 L(K(x,T(T(y,z),u * z)),z,u) = K((u * z) / (u * (x \ z)),y). [hyper(228,a,6526,a,b,9060,a)]. given #8469 (H,wt=24): 9445 L(T(K(x,T(y,z * u)),u),u,z) = (z * (K(x,y) * u)) / (z * u). [para(7173(a,1),9060(a,1,1))]. given #8470 (H,wt=25): 7208 x * (K(x,y) * (1 / T(T(x,y),z))) = K(x,T(T(x,y) \ (z \ 1),y)). [hyper(6859,a,7202,a)]. given #8471 (H,wt=25): 7267 T(x,((y \ 1) * ((z \ 1) \ u)) \ 1) = T(x,T((z / (1 / u)) \ y,1)). [para(946(a,1),7146(a,1,2,1))]. given #8472 (H,wt=25): 7298 T(x,y) * K(z,T(x,K(x,u) * y)) = T(x * K(z,x),K(x,u) * y). [para(7288(a,1),5396(a,1,1))]. given #8473 (H,wt=21): 9493 T(x * K(y,x),K(x,z) * u) = T(x,u) * K(y,T(x,u)). [para(7288(a,1),7298(a,1,2,2)),flip(a)]. given #8474 (H,wt=19): 9494 T(x * K(y,x),K(x,z) * u) = T(x * K(y,x),u). [hyper(228,a,5396,a(flip),b,9493,a)]. given #8475 (H,wt=25): 7346 (x * T(y,z)) * L(K(u,y),w,v5) = x * (T(y,z) * L(K(u,y),w,v5)). [para(7343(a,1),452(a,1,2,1))]. given #8476 (H,wt=25): 7395 K(x * K(L(y,z,u),w),L(y,v5,v6)) = L(T(y,x),v5,v6) \ L(y,v5,v6). [para(7378(a,1),4656(a,1,1,1)),flip(a)]. given #8477 (H,wt=20): 9497 K(x * K(L(y,z,u),w),L(y,v5,v6)) = K(x,L(y,v5,v6)). [hyper(228,a,4656,a(flip),b,7395,a)]. given #8478 (H,wt=20): 9498 K(K(L(x,y,z),u) * w,L(x,v5,v6)) = K(w,L(x,v5,v6)). [para(7174(a,1),9497(a,1,1))]. given #8479 (H,wt=17): 9499 K(K(x,y) * z,L(x,u,w)) = K(z,L(x,u,w)). [para(333(a,1),9498(a,1,1,1,1))]. given #8480 (H,wt=19): 9500 K(x \ T(y,z),L(z,u,w)) = K(x \ y,L(z,u,w)). [para(5479(a,1),9499(a,1,1)),flip(a)]. given #8481 (H,wt=21): 9501 K(x \ (y / z),L(z,u,w)) = K(x \ (z \ y),L(z,u,w)). [para(115(a,1),9500(a,1,1,2)),flip(a)]. given #8482 (H,wt=25): 7443 R(T(x * K(y,x),y),z,x * K(y,x)) = R(x,z,T(x * K(y,x),u)). [para(4674(a,1),7058(a,1,1)),flip(a)]. given #8483 (H,wt=19): 9502 R(x,y,T(x * K(z,x),u)) = R(x,y,x * K(z,x)). [para(4674(a,1),7443(a,1,1)),flip(a)]. given #8484 (H,wt=13): 9503 R(x,y,x * K(z,x)) = R(x,y,x). [para(4674(a,1),9502(a,1,3)),flip(a)]. given #8485 (H,wt=17): 9504 R(x \ y,z,y / x) = R(x \ y,z,x \ y). [para(4717(a,1),9503(a,1,3))]. given #8486 (H,wt=25): 7450 T((x / (y * K(z,y))) * y,z / (z / y)) = ((z * y) / z) \ (x * y). [hyper(6114,a,7093,a),flip(a)]. given #8487 (H,wt=21): 9505 T(x * K(y,z),z / (z / y)) = ((z * y) / z) \ (x * y). [para(6602(a,1),7450(a,1,1))]. given #8488 (H,wt=25): 7473 (L(x,y,z) * u) * K(w,T(x,v5)) = L(x,y,z) * (u * K(w,T(x,v5))). [para(7470(a,1),482(a,1,1,1)),flip(a)]. given #8489 (H,wt=17): 9506 L(K(x,T(y,z)),u,L(y,w,v5)) = K(x,T(y,z)). [hyper(445,a,7473,a)]. given #8490 (H,wt=14): 9508 L(K(x,T(y,z)),u,y) = K(x,T(y,z)). [para(333(a,1),9506(a,1,3))]. given #8491 (H,wt=16): 9507 K(x,T(y,L(y,z,u) * w)) = K(x,T(y,w)). [hyper(228,a,9434,a(flip),b,9506,a(flip)),flip(a)]. given #8492 (H,wt=16): 9511 K(x,T(y,L(y,z,u) \ w)) = K(x,T(y,w)). [para(14(a,1),9507(a,1,2,2)),flip(a)]. given #8493 (H,wt=17): 9512 K(x,T(y,z * (u * y))) = K(x,T(y,z * u)). [para(7394(a,1),9507(a,1,2))]. given #8494 (H,wt=17): 9514 K(x,T(y,z * (y * u))) = K(x,T(y,z * u)). [para(7075(a,1),9512(a,1,2))]. given #8495 (H,wt=19): 9509 K((x \ y) \ z,T(x,u)) = K(y \ (x * z),T(x,u)). [hyper(228,a,6328,a(flip),b,9508,a(flip))]. given #8496 (H,wt=17): 9517 K(x \ (y * z),T(y,z)) = K(z / (y \ x),y). [hyper(7963,a,9509,a),flip(a)]. given #8497 (H,wt=15): 9519 K((x * y) / z,x) = K(y / (x \ z),x). [hyper(8167,a,9517,a)]. given #8498 (H,wt=18): 9520 K(x / (y \ z),y) != u | K((y * x) / z,y) = u. [para(9517(a,1),8167(a,1))]. given #8499 (H,wt=19): 9513 K(x,T(y \ z,u * z)) = K(x,T(y \ z,u * y)). [para(14(a,1),9512(a,1,2,2,2))]. given #8500 (H,wt=17): 9522 K(x,T(y \ x,z * y)) = K(x,T(y \ x,z)). [hyper(7653,a,9513,a),flip(a)]. given #8501 (H,wt=17): 9523 K(x,T(y \ x,z / y)) = K(x,T(y \ x,z)). [para(16(a,1),9522(a,1,2,2)),flip(a)]. given #8502 (H,wt=17): 9524 K(x,T(y \ x,y \ z)) = K(x,T(y \ x,z)). [hyper(228,a,8238,a(flip),b,9523,a(flip)),flip(a)]. given #8503 (H,wt=17): 9525 K(x,(y / (y / z)) \ x) = K(x,T(z \ x,y)). [hyper(228,a,9091,a(flip),b,9524,a(flip)),flip(a)]. given #8504 (H,wt=19): 9521 K(x / (y \ T(z,y \ 1)),y) = K((y * x) / z,y). [hyper(228,a,9361,a(flip),b,9519,a(flip))]. given #8505 (H,wt=19): 9526 K(x,T(y \ x,x * z)) = K(x,((x * z) / y) / z). [hyper(228,a,8372,a(flip),b,9525,a(flip))]. given #8506 (H,wt=17): 9527 K(x,((x * y) / z) / y) = K(x,T(z \ x,y)). [hyper(9115,a,9526,a),flip(a)]. given #8507 (H,wt=20): 9516 K(x * y,T(x,z * y)) != u | K(x * y,T(x,z)) = u. [para(9514(a,1),7653(a,1))]. given #8508 (H,wt=20): 9518 K(x \ (y * z),T(y,z)) != u | K(z / (y \ x),y) = u. [para(9509(a,1),7963(a,1))]. given #8509 (H,wt=18): 9530 K((x * y) / z,x) != u | K(y / (x \ z),x) = u. [para(7878(a,1),9518(a,1))]. given #8510 (H,wt=22): 9529 K(T(x,y) * z,T(x,u * z)) != w | K(x * z,T(x,u)) = w. [para(7529(a,2),9516(a,1))]. given #8511 (H,wt=22): 9531 K(x / (y \ T(z,y \ 1)),y) != u | K(x / (y \ z),y) = u. [para(9521(a,2),9530(a,1))]. given #8512 (H,wt=25): 7559 K(x \ y,T(z,(x \ y) \ T(y,x))) = K(x \ y,T(z,x * K(y,x))). [para(4841(a,1),7555(a,1,2,2))]. given #8513 (H,wt=19): 9532 K(x \ y,T(z,(x \ y) \ T(y,x))) = K(y / x,z). [hyper(228,a,8258,a(flip),b,7559,a)]. given #8514 (H,wt=15): 9533 K(x \ y,T(z,T(y,x))) = K(y / x,z). [hyper(7638,a,9532,a)]. given #8515 (H,wt=25): 7594 K(a(x,y,z),T(u,(x * y) * z)) = K(a(x,y,z),T(u,x * (y * z))). [para(134(a,1),7591(a,1,2,2)),flip(a)]. given #8516 (H,wt=25): 7752 K(x,K(y,((1 / z) / (u / z)) \ 1)) * (u / z) = T(u,K(x,y)) / z. [para(7728(a,2),6190(a,1,1))]. given #8517 (H,wt=25): 7775 K(x,K(y,((1 / z) / (u / z)) \ 1)) = K(x,(T(u,y) / z) / (u / z)). [para(6456(a,1),7741(a,1,2)),flip(a)]. given #8518 (H,wt=23): 9537 K(x,(T(y,z) / u) / (y / u)) * (y / u) = T(y,K(x,z)) / u. [para(7775(a,1),7752(a,1,1))]. given #8519 (H,wt=17): 9540 K(x,K(y,z)) * (z / u) = T(z,K(x,y)) / u. [para(9200(a,1),9537(a,1,1))]. given #8520 (H,wt=17): 9541 K(x,K(y,z)) * (T(z,K(x,y)) / u) = z / u. [hyper(7767,a,9540,a)]. given #8521 (H,wt=17): 9542 T(x,K(y,z)) / (u \ x) = K(y,K(z,x)) * u. [para(61(a,1),9540(a,1,2)),flip(a)]. given #8522 (H,wt=17): 9544 K(x,K(y,z)) * (T(x,K(z,y)) / u) = x / u. [para(7692(a,1),9541(a,1,1))]. given #8523 (H,wt=17): 9545 T(x,K(y,z)) / (u \ x) = K(x,K(y,z)) * u. [para(7728(a,1),9542(a,2,1))]. given #8524 (H,wt=17): 9546 (K(x,K(y,z)) * u) \ T(x,K(y,z)) = u \ x. [para(9545(a,1),64(a,1,1))]. given #8525 (H,wt=14): 9547 L(x \ y,x,K(y,K(z,u))) = x \ y. [hyper(4791,a,9546,a)]. given #8526 (H,wt=12): 9548 a(K(x,K(y,z)),u,u \ x) = 1. [hyper(34,a,9547,a)]. given #8527 (H,wt=12): 9549 a(K(x * y,K(z,u)),x,y) = 1. [para(13(a,1),9548(a,1,3))]. given #8528 (H,wt=12): 9550 a(K(K(x,y),z),u,u \ z) = 1. [para(5972(a,2),9548(a,1,1))]. given #8529 (H,wt=12): 9551 a(K(x,K(y,z * u)),z,u) = 1. [para(7692(a,1),9549(a,1,1))]. given #8530 (H,wt=22): 9552 a(K(K(x,y),z),u,u \ z) = K(w,K(v5,v6)) * K(w,K(v5,v6)). [hyper(228,a,7761,a,b,9550,a)]. given #8531 (H,wt=25): 7780 K(x,K(a(y,z,u),(y * z) * u)) = K(x,K(a(y,z,u),y * (z * u))). [para(89(a,1),7720(a,1,2,2))]. given #8532 (H,wt=25): 7943 T(x,T(T(y \ (z \ y),T(z,u)),y)) = T(x,(((z \ 1) \ 1) \ y) / y). [para(6455(a,1),7929(a,1,2,1)),flip(a)]. given #8533 (H,wt=23): 9553 T(x,T((y \ z) / z,T(y,u))) = T(x,(((y \ 1) \ 1) \ z) / z). [hyper(228,a,7930,a(flip),b,7943,a(flip)),flip(a)]. given #8534 (H,wt=21): 9554 T(x,T((y \ z) / z,T(y,u))) = T(x,((y \ 1) \ 1) \ 1). [hyper(228,a,4106,a(flip),b,9553,a)]. given #8535 (H,wt=17): 9556 T(x,T((y \ z) / z,T(y,u))) = T(x,y \ 1). [hyper(228,a,4342,a(flip),b,9554,a)]. given #8536 (H,wt=25): 7948 (x * K(y,T(z,u))) * K(z,z \ u) = (x / T(u / (u / z),y)) * z. [para(7936(a,1),6642(a,1,1,2))]. given #8537 (H,wt=25): 8011 K(x,K(y,T(1 / L(1 / z,u,w),v5))) = K(x,T(L(K(z,y),u,w),v5)). [para(6137(a,1),7776(a,2,2,1))]. given #8538 (H,wt=25): 8112 K(x,K(y \ (z * u),u \ (z \ 1))) = K(x,K(z * u,(z \ y) \ u)). [para(6567(a,1),8083(a,1,2)),flip(a)]. given #8539 (H,wt=23): 9558 K(x,K(y \ (z * u),z * u)) = K(x,K(z * u,(z \ y) \ u)). [hyper(8180,a,8112,a)]. given #8540 (H,wt=19): 9559 K(x,K(y * z,(y \ u) \ z)) = K(x,K(u,y * z)). [hyper(8071,a,9558,a),flip(a)]. given #8541 (H,wt=19): 9560 K(x,K(y * z,z \ (y \ u))) = K(x,K(u,y * z)). [hyper(8113,a,9559,a)]. given #8542 (H,wt=25): 8155 T(x * L(L(y,z,u),w,v5),T(y,x)) = T(x * L(L(y,z,u),w,v5),y). [para(907(a,1),8147(a,1,2)),flip(a)]. given #8543 (H,wt=25): 8197 K(x \ y,z \ (x \ y)) * (y / x) = T(y / x,T((x * z) \ y,x)). [para(6304(a,1),7333(a,1,1))]. given #8544 (H,wt=25): 8246 K(x,K(y,z)) * ((K(x,u) * z) \ w) = T(K(x,u) * z,K(x,y)) \ w. [para(7989(a,1),7764(a,1,1))]. given #8545 (H,wt=21): 9563 K(x,K(y,z)) * ((K(x,y) * z) \ u) = (z * K(x,y)) \ u. [para(5987(a,1),8246(a,2,1))]. given #8546 (H,wt=25): 8276 K(x,y \ K(y,z)) \ K(z,K(x,y \ 1)) = K(y \ K(y,z),T(x,z)). [hyper(71,a,8027,a(flip),b,7185,a)]. given #8547 (H,wt=21): 9564 K(x,y \ K(y,z)) \ K(z,K(x,y \ 1)) = K(y \ 1,x). [hyper(228,a,7168,a(flip),b,8276,a)]. given #8548 (H,wt=21): 9566 K(x,y \ K(y,z)) * K(y \ 1,x) = K(z,K(x,y \ 1)). [para(9564(a,1),14(a,1,2))]. given #8549 (H,wt=21): 9567 K(x,y \ K(y,z)) * K(y \ 1,x) = K(x,K(z,y \ 1)). [hyper(228,a,7723,a,b,9566,a)]. given #8550 (H,wt=21): 9568 K(x \ 1,y) * K(y,x \ K(x,z)) = K(y,K(z,x \ 1)). [hyper(1759,a,9567,a)]. given #8551 (H,wt=25): 8389 K(x,(y * (z / y)) / ((z / y) * x)) = K(x,((y \ z) / z) \ (x \ 1)). [para(4099(a,1),8386(a,1,2,2,1))]. given #8552 (H,wt=23): 9570 K(x,(y * (z / y)) / ((z / y) * x)) = K(x,z / ((y \ z) * x)). [hyper(228,a,8388,a(flip),b,8389,a)]. given #8553 (H,wt=20): 9571 K(x,R(x \ y,x,z / y)) = K(x,z / ((y \ z) * x)). [hyper(228,a,8392,a,b,9570,a(flip)),flip(a)]. given #8554 (H,wt=22): 9572 K(x,R(x \ (y / z),x,y / (y / z))) = K(x,y / (z * x)). [para(64(a,1),9571(a,2,2,2,1))]. given #8555 (H,wt=25): 8473 K(x,K(y,T(z,u))) * K(x * T(y,u),x) = K(x * T(y,u),T(x,z)). [para(7753(a,2),7809(a,1,1))]. given #8556 (H,wt=25): 8496 K(x,T(y,T((x * z) \ u,z))) = K(x,y) * K(y,K(u / (x * z),x)). [para(7872(a,1),8006(a,1,2,2)),flip(a)]. given #8557 (H,wt=25): 8509 (x * y) * K(z,K(u,L(w,y,x))) != v5 | x * (y * K(z,K(u,w))) = v5. [para(8503(a,1),218(a,1,2))]. given #8558 (H,wt=25): 8589 (x \ R(x,y,z)) * T(K(u,x),w) = R(x,y,z) * (x \ K(u,T(x,w))). [hyper(1232,a,8445,a),flip(a)]. given #8559 (H,wt=23): 9575 (x \ R(x,y,z)) * T(K(u,x),w) = T(x,T(u,w)) \ R(x,y,z). [hyper(228,a,7490,a(flip),b,8589,a)]. given #8560 (H,wt=22): 9576 K(x * y,y) * K(x,K(y,z)) = T(y,T(x,z)) \ R(y,x,y). [hyper(228,a,8591,a(flip),b,9575,a(flip)),flip(a)]. given #8561 (H,wt=18): 9577 T(x,T(y,z)) \ R(x,y,x) = K(y * x,T(x,z)). [hyper(8343,a,9576,a),flip(a)]. given #8562 (H,wt=18): 9578 K(x,T(y,z)) * a(y,x,y) = K(x * y,T(y,z)). [hyper(228,a,8885,a(flip),b,9577,a(flip)),flip(a)]. given #8563 (H,wt=20): 9580 K(x * y,T(y,z)) \ (K(x,T(y,z)) * y) = L(y,x,y). [para(9578(a,1),9015(a,1,1))]. given #8564 (H,wt=20): 9581 K(x * y,T(y,z)) \ (y * K(x,T(y,z))) = L(y,x,y). [para(6222(a,1),9580(a,1,2))]. given #8565 (H,wt=18): 9582 T(x,T(y * x,z)) * K(y,T(x,z)) = L(x,y,x). [hyper(7242,a,9581,a)]. given #8566 (H,wt=18): 9583 T(x,T(x * y,z)) * K(y,T(x,z)) = L(x,y,x). [para(4484(a,1),9582(a,1,1))]. given #8567 (H,wt=18): 9584 K(x,T(y,z)) * T(y,T(y * x,z)) = L(y,x,y). [hyper(228,a,6223,a(flip),b,9583,a(flip)),flip(a)]. given #8568 (H,wt=22): 9579 K(x / y,z) * a(z,y \ x,z) = K((y \ x) * z,T(z,y)). [para(7837(a,1),9578(a,1,1))]. given #8569 (H,wt=25): 8606 T(T(x,y) * R(x \ z,u,w),x) = T(x,y) * R(x \ T(z,x),u,w). [para(1684(a,1),8529(a,1,2)),flip(a)]. given #8570 (H,wt=25): 8609 (x \ 1) / (x \ K(x,(y * (x \ z)) \ u)) = K((y * (z / x)) \ u,x). [hyper(228,a,5038,a,b,8558,a),flip(a)]. given #8571 (H,wt=22): 9586 K((x * (y / z)) \ u,z) != w | K((x * (z \ y)) \ u,z) = w. [para(8609(a,1),5174(a,1))]. given #8572 (H,wt=25): 8657 K(x \ (y * (z * K(y,u))),T(y,w)) = K(x \ (z * T(y,u)),T(y,w)). [para(5177(a,1),8644(a,1,1,2)),flip(a)]. given #8573 (H,wt=25): 8689 x \ R(x,y,L(x,z,u)) != w | K(x,y) * K(y * L(x,z,u),x) = w. [para(8525(a,1),4985(a,1,2))]. given #8574 (H,wt=25): 8722 K(x,y) * (x \ R(x,z,R(x,u,w))) = x \ R(T(x,y),z,R(x,u,w)). [para(8719(a,1),6665(a,1,1))]. given #8575 (H,wt=25): 8849 (x * K(y,z)) * R(K(z,u),w,v5) = x * (K(y,z) * R(K(z,u),w,v5)). [para(8844(a,1),451(a,1,2,1))]. given #8576 (H,wt=25): 8851 (x * L(K(y,z),u,w)) * K(z,v5) = x * (L(K(y,z),u,w) * K(z,v5)). [para(8850(a,1),100(a,1,2))]. given #8577 (H,wt=25): 8906 L(a(x,y,x),K(x,x * y),z) = (z * K(x,x * y)) \ (z * K(x,y)). [para(8890(a,1),28(a,2,2,2))]. given #8578 (H,wt=21): 9591 L(a(x,y,x),K(x,x * y),z) = K(x,y) * K(x * y,x). [hyper(228,a,8927,a(flip),b,8906,a)]. given #8579 (H,wt=16): 9593 L(a(x,y,x),K(x,x * y),z) = a(x,y,x). [hyper(228,a,8877,a(flip),b,9591,a)]. given #8580 (H,wt=25): 8915 R(T(x / y,K(y,x)),z,x / y) = a(x / y,z,x / y) * (x / y). [para(7511(a,1),8913(a,1,2)),flip(a)]. given #8581 (H,wt=25): 8935 (x * K(y,z)) * L(K(u,y),w,v5) = x * (K(y,z) * L(K(u,y),w,v5)). [para(8929(a,1),452(a,1,2,1))]. given #8582 (H,wt=25): 8939 (x * (K(y,L(z,y,u)) * K(z,w))) \ (x * T(z,w)) = T(z,L(y,z,u)). [para(8841(a,1),8921(a,1,1,2,1))]. given #8583 (H,wt=25): 8963 (K(x,K(y,z)) * T(x,K(u,w))) \ x = K(u,K(w,x)) * K(z,K(x,y)). [para(7724(a,1),8289(a,2,2))]. given #8584 (H,wt=25): 8984 T(x / T(y,x),z) * T(T(y,x),K(x,z)) = x * K(T(x,y) / y,z). [para(3937(a,2),8982(a,2,2,1))]. given #8585 (H,wt=15): 9599 K(T(x,y) / y,z) = K(x / T(y,x),z). [hyper(8983,a,8984,a),flip(a)]. given #8586 (H,wt=23): 9600 T(x / T(y,x),z) * T(y,T(x,z)) = x * K(T(x,y) / y,z). [para(7663(a,1),8984(a,1,2))]. given #8587 (H,wt=25): 9078 x \ R(x,y,L(x,z,u)) != w | K(y * L(x,z,u),x) * K(x,y) = w. [para(8687(a,1),1759(a,1))]. given #8588 (H,wt=25): 9157 (x * L(y,z \ T(x,z),z)) \ (x * y) = a(T(z,x),T(z,x) \ x,y). [para(9156(a,1),3965(a,1,1))]. given #8589 (H,wt=25): 9199 x * ((y / T(z,y)) * u) != (y / z) * u | R(K(z,y),z \ y,u) = x. [para(9198(a,1),20(a,1)),flip(a)]. given #8590 (H,wt=25): 9258 (x \ ((y \ (x * z)) * y)) * u = (z * K((x \ 1) \ (y \ z),y)) * u. [para(4609(a,1),8446(a,2,1)),flip(a)]. given #8591 (H,wt=21): 9602 (x * K((y \ 1) \ (z \ x),z)) * y = (z \ (x * y)) * z. [hyper(4613,a,9258,a),flip(a)]. given #8592 (H,wt=19): 9603 (x * K(y * (z \ x),z)) * y = (z \ (x * y)) * z. [para(5637(a,1),9602(a,1,1,2))]. given #8593 (H,wt=19): 9604 (x * K((y \ z) \ x,z)) * y = (z \ (x * y)) * z. [para(8285(a,1),9602(a,1,1,2))]. given #8594 (H,wt=23): 9605 (x \ (y * z)) * K(x * (y \ (x \ (y * z))),y) = x \ (z * y). [hyper(18,a,4612,a(flip),b,9603,a)]. given #8595 (H,wt=18): 9606 K(x,y \ (z * x)) != u | K(x,y \ (x * z)) = u. [para(9605(a,1),8302(a,1,2))]. given #8596 (H,wt=18): 9607 K(x,(x \ y) \ z) != u | K(x,y \ (x * z)) = u. [para(8414(a,2),9606(a,1))]. given #8597 (H,wt=25): 9311 T(K(x,y) * z,K(x,R(u,w,v5))) = K(x,y) * T(z,K(u,R(x,w,v5))). [para(9309(a,1),8775(a,2,2))]. given #8598 (H,wt=25): 9327 T(x,T((y * (x \ 1)) / z,z / (x \ 1))) = T(x,(z / (x \ 1)) \ y). [para(720(a,1),9326(a,1,2))]. given #8599 (H,wt=25): 9374 (1 / (x \ y)) * (z / (1 / (x \ y))) = z * K(y \ x,z * (y / x)). [para(9366(a,2),6234(a,2,2))]. given #8600 (H,wt=25): 9376 ((1 / (x \ y)) \ z) * (1 / (x \ y)) = z * K(z * (y / x),y \ x). [para(9368(a,2),6180(a,2,2))]. given #8601 (H,wt=25): 9378 x \ R(x * K(y,x),z,y \ 1) = K(y,x) * (x \ R(x,z,y \ 1)). [hyper(71,a,9377,a,b,5167,a)]. given #8602 (H,wt=23): 9608 x \ R(x * K(y,x),y,y \ 1) = K(y,x) * a(x,y,y \ 1). [para(670(a,1),9378(a,2,2))]. given #8603 (H,wt=20): 9609 K(x,y) * a(y,x,x \ 1) = y \ ((x * y) * (x \ 1)). [para(4835(a,1),9608(a,1,2)),flip(a)]. given #8604 (H,wt=24): 9610 K(x,(x \ ((y * x) * (y \ 1))) \ z) = K(x,a(x,y,y \ 1) \ z). [para(9609(a,1),8617(a,1,2,1))]. given #8605 (H,wt=24): 9611 K(x,((y * x) * (y \ 1)) \ (x * z)) = K(x,a(x,y,y \ 1) \ z). [hyper(9607,a,9610,a)]. given #8606 (H,wt=25): 9416 T(x,L((y \ z) \ z,u,w)) = (v5 * K(L(y,u,w),T(x,z))) \ (v5 * x). [para(9415(a,1),5151(a,1,1,2)),flip(a)]. given #8607 (H,wt=19): 9612 T(x,L((y \ z) \ z,u,w)) = T(x,T(L(y,u,w),z)). [hyper(228,a,7233,a(flip),b,9416,a)]. given #8608 (H,wt=19): 9613 T(x,L((y \ z) \ z,u,w)) = T(x,L(T(y,z),u,w)). [para(40(a,2),9612(a,2,2))]. given #8609 (H,wt=19): 9614 T(x,L(T(y,z * y),u,w)) = T(x,L(T(y,z),u,w)). [para(3959(a,2),9613(a,1,2,1)),flip(a)]. given #8610 (H,wt=25): 9419 (x * y) \ ((T(x,z \ (u * x)) * y) * x) = T(x,T((u \ z) \ x,y)). [para(6309(a,1),9417(a,1,2,1,1))]. given #8611 (H,wt=19): 9615 T(x,T((y \ z) \ x,u)) = T(x,T(z \ (y * x),u)). [hyper(228,a,9417,a(flip),b,9419,a(flip))]. given #8612 (H,wt=25): 9492 T(x,((y \ 1) \ z) \ ((u \ 1) \ 1)) = T(x,T((y / (1 / z)) \ u,1)). [para(118(a,1),7267(a,1,2))]. given #8613 (H,wt=21): 9616 T(x,T((y / (1 / z)) \ u,1)) = T(x,((y \ 1) \ z) \ u). [hyper(228,a,4346,a(flip),b,9492,a(flip))]. given #8614 (H,wt=19): 9617 T(x,(y / (1 / z)) \ u) = T(x,((y \ 1) \ z) \ u). [para(143(a,1),9616(a,1,2))]. given #8615 (H,wt=23): 9618 T(x,((1 \ 1) \ y) \ ((z \ 1) * u)) = T(x,y \ ((u \ z) \ 1)). [hyper(228,a,6816,a(flip),b,9617,a(flip))]. given #8616 (H,wt=19): 9619 T(x,y \ ((z \ u) \ 1)) = T(x,y \ ((u \ 1) * z)). [para(126(a,1),9618(a,1,2,1)),flip(a)]. given #8617 (H,wt=25): 9557 x * (K(y,y \ z) * K(u,T(y,z))) = (x / T(z / (z / y),u)) * y. [hyper(228,a,9381,a(flip),b,7948,a(flip)),flip(a)]. given #8618 (H,wt=23): 9620 (x / T(y / (y / z),u)) * z = x * (T(y / (y / z),u) \ z). [para(7947(a,1),9557(a,1,2)),flip(a)]. given #8619 (H,wt=21): 9621 (x / T(1 / (1 / y),z)) * y = x * (y * (1 / T(y,z))). [para(6713(a,1),9620(a,2,2))]. given #8620 (H,wt=25): 9574 K(x,T(y,T((x * z) \ u,z))) = K(x,y) * K(x,K(y,u / (x * z))). [para(7728(a,1),8496(a,2,2))]. given #8621 (H,wt=21): 9622 K(x,T(y,T((x * z) \ u,z))) = K(x,T(y,u / (x * z))). [hyper(228,a,7706,a(flip),b,9574,a)]. given #8622 (H,wt=23): 9624 K(x,T(y,T((x * z) \ u,z))) = K(x,y) * K(x,K(y,u / z)). [para(9429(a,1),9574(a,2,2))]. given #8623 (H,wt=19): 9625 K(x,T(y,T((x * z) \ u,z))) = K(x,T(y,u / z)). [hyper(228,a,7706,a(flip),b,9624,a)]. given #8624 (H,wt=17): 9626 K(x,T(y,z / (x * u))) = K(x,T(y,z / u)). [hyper(228,a,9622,a(flip),b,9625,a(flip)),flip(a)]. given #8625 (H,wt=17): 9627 K(x,T(y,z / (x \ u))) = K(x,T(y,z / u)). [para(14(a,1),9626(a,1,2,2,2)),flip(a)]. given #8626 (H,wt=19): 9628 T(x,T(y,z / (x \ u))) = x * K(x,T(y,z / u)). [para(9627(a,1),4705(a,2,2))]. given #8627 (H,wt=17): 9629 T(x,T(y,z / (x \ u))) = T(x,T(y,z / u)). [hyper(228,a,4705,a,b,9628,a)]. given #8628 (H,wt=23): 9630 T(x,T((y * (x \ 1)) / z,z / 1)) = T(x,(z / (x \ 1)) \ y). [hyper(228,a,9327,a(flip),b,9629,a(flip))]. given #8629 (H,wt=21): 9631 T(x,T((y * (x \ 1)) / z,z)) = T(x,(z / (x \ 1)) \ y). [para(59(a,1),9630(a,1,2,2))]. given #8630 (H,wt=19): 9632 T(x,(y / (x \ 1)) \ z) = T(x,y \ (z * (x \ 1))). [para(115(a,1),9631(a,1,2)),flip(a)]. given #8631 (H,wt=24): 9623 K(x,T(y,T((x * z) \ u,z))) != w | K(x,T(y,u / (x * z))) = w. [para(9574(a,2),7981(a,1))]. given #8632 (H,wt=25): 9587 K(x \ ((y * z) * K(y,u)),T(y,w)) = K(x \ (z * T(y,u)),T(y,w)). [para(7001(a,2),8657(a,1,1,2))]. given #8633 (H,wt=21): 9633 K(x \ (y * T(z,u)),T(z,w)) = K(x \ (z * y),T(z,w)). [hyper(228,a,8575,a(flip),b,9587,a(flip))]. given #8634 (H,wt=19): 9634 K(x \ (y * z),T(y,z)) = K((z * T(y,u)) / x,y). [hyper(8174,a,9633,a),flip(a)]. given #8635 (H,wt=20): 9636 K((x * T(y,z)) / u,y) != w | K(x / (y \ u),y) = w. [para(9634(a,1),9518(a,1))]. given #8636 (H,wt=25): 9588 (x * K(y,z)) * R(K(z,u),w,v5) = x * (R(K(z,u),w,v5) * K(y,z)). [para(1766(a,2),8849(a,2,2))]. given #8637 (H,wt=25): 9589 (x * K(y,z)) * (K(z,y) * R(K(y,u),w,v5)) = x * R(K(y,u),w,v5). [para(5062(a,1),8849(a,1,1)),flip(a)]. given #8638 (H,wt=25): 9590 (x * L(K(y,z),u,w)) * K(z,v5) = x * (K(z,v5) * L(K(y,z),u,w)). [para(1761(a,1),8851(a,2,2))]. given #8639 (H,wt=25): 9594 (x / (K(y,y * z) * a(y,z,y))) * K(y,y * z) = x / a(y,z,y). [para(9593(a,1),316(a,1,2)),flip(a)]. given #8640 (H,wt=25): 9597 (x * K(y,z)) * (K(z,y) * L(K(u,z),w,v5)) = x * L(K(u,z),w,v5). [para(5062(a,1),8935(a,1,1)),flip(a)]. given #8641 (H,wt=25): 9598 (K(x,K(y,z)) * T(y,K(u,w))) \ y = K(u,K(w,y)) * K(x,K(y,z)). [para(7728(a,1),8963(a,1,1,1))]. given #8642 (H,wt=23): 9639 T(T(x,K(y,z)),K(y,u)) \ x = K(y,K(u,x)) * K(y,K(x,z)). [para(8780(a,1),9598(a,1,1))]. given #8643 (H,wt=23): 9640 T(T(x,K(y,z)),K(y,u)) \ x = K(x,K(y,u)) * K(y,K(x,z)). [para(7728(a,1),9639(a,2,1))]. given #8644 (H,wt=23): 9641 T(T(x,K(y,z)),K(y,u)) \ x = K(x,K(y,u)) * K(x,K(y,z)). [para(7723(a,1),9640(a,2,2))]. given #8645 (H,wt=25): 9637 x / (K(y,z) * R(K(z,u),w,v5)) = (x * R(K(u,z),w,v5)) * K(z,y). [hyper(72,a,6920,a(flip),b,9589,a)]. given #8646 (H,wt=25): 9638 (x * (K(y,z) * L(K(u,y),w,v5))) * K(z,y) = x * L(K(u,y),w,v5). [hyper(5064,a,9590,a)]. given #8647 (H,wt=26): 7455 K(K(x,y) * z,y) * T(y,K(x,y) * (z * y)) = L(y,K(x,y) * z,y). [para(7104(a,1),4981(a,1,2,2))]. given #8648 (H,wt=22): 9642 K(x,y) * T(y,K(z,y) * (x * y)) = L(y,K(z,y) * x,y). [para(7308(a,1),7455(a,1,1))]. given #8649 (H,wt=18): 9643 L(x,K(y,x) * z,x) = K(z,x) * T(x,z * x). [para(7295(a,1),9642(a,1,2)),flip(a)]. given #8650 (H,wt=13): 9645 L(x,K(y,x) * z,x) = L(x,z,x). [hyper(228,a,4981,a(flip),b,9643,a)]. given #8651 (H,wt=15): 9647 L(x,T(x,y) \ z,x) = L(x,x \ z,x). [para(5004(a,1),9645(a,1,2))]. given #8652 (H,wt=15): 9648 L(x,y / T(x,z),x) = L(x,x \ y,x). [hyper(228,a,9053,a,b,9647,a(flip)),flip(a)]. given #8653 (H,wt=24): 9650 T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)) = L(z,z \ x,z). [hyper(228,a,6983,a,b,9648,a(flip)),flip(a)]. given #8654 (H,wt=26): 7632 K(x,T(y,L(y,z,u) * (y \ w))) != v5 | K(x,T(y,L(y,z,u) * w)) = v5. [para(1359(a,1),7147(a,1,2,2))]. given #8655 (H,wt=25): 9652 L(K(x,T(y,z)),z,L(y,u,w)) != v5 | K(x,T(y,L(y,u,w) * z)) = v5. [para(8669(a,2),7632(a,1))]. given #8656 (H,wt=26): 7900 K(((x * y) * z) / (x * (y * z)),u) = K(a(x,y,z),T(u,x * (y * z))). [para(24(a,2),7837(a,1,1)),flip(a)]. given #8657 (H,wt=26): 7909 K(x,((y * z) * u) / (y * (z * u))) = K(x,T(a(y,z,u),y * (z * u))). [para(24(a,2),7842(a,1,2,1)),flip(a)]. given #8658 (H,wt=26): 8369 K(x,T(y \ (x * z),z)) * u != u * w | K(x,T(z / (x \ y),u)) = w. [para(8366(a,2),7282(a,1,1))]. given #8659 (H,wt=19): 9655 K(x,T(y / (x \ z),u)) = K(x,T((z / y) \ x,u)). [hyper(8369,a,8292,a)]. given #8660 (H,wt=21): 9656 x * K(x,T((y / z) \ x,u)) = T(x,T(z / (x \ y),u)). [para(9655(a,1),4705(a,2,2)),flip(a)]. given #8661 (H,wt=22): 9657 T(x,T(y / (x \ z),u)) != w | T(x,T((z / y) \ x,u)) = w. [para(9656(a,1),4708(a,1))]. given #8662 (H,wt=26): 8399 L(T(x,y \ (z * x)),u,w) \ L(x,u,w) = K((y / x) \ z,L(x,u,w)). [para(8396(a,1),4656(a,1,1,1))]. given #8663 (H,wt=21): 9658 K((x / y) \ z,L(y,u,w)) = K(x \ (z * y),L(y,u,w)). [hyper(4925,a,8399,a),flip(a)]. given #8664 (H,wt=24): 9659 K((x / y) \ z,L(y,u,w)) != v5 | K(x \ (z * y),L(y,u,w)) = v5. [para(8399(a,1),4925(a,1))]. given #8665 (H,wt=26): 8401 L(x,y,z) \ L(T(x,u \ (x * w)),y,z) = K(L(x,y,z),u \ (w * x)). [para(8397(a,1),4706(a,1,2,1))]. given #8666 (H,wt=24): 9660 K(L(x,y,z),u \ (w * x)) != v5 | K(L(x,y,z),u \ (x * w)) = v5. [para(8401(a,1),4930(a,1))]. given #8667 (H,wt=26): 8405 K(x \ ((y \ z) * y),L(y,u,w)) = L(T(y,x \ z),u,w) \ L(y,u,w). [para(8400(a,1),4656(a,1,1,1)),flip(a)]. given #8668 (H,wt=21): 9661 K(x \ ((y \ z) * y),L(y,u,w)) = K(x \ z,L(y,u,w)). [hyper(228,a,4656,a(flip),b,8405,a)]. given #8669 (H,wt=21): 9662 K(x \ (y * z),L(z,u,w)) = K(x \ (z * y),L(z,u,w)). [para(13(a,1),9661(a,1,1,2,1))]. given #8670 (H,wt=26): 8474 L(T(K(x,y),z * (u * K(y,x))),u,z) = (z * u) / (z * (u * K(y,x))). [hyper(72,a,6439,a(flip),b,7825,a),flip(a)]. given #8671 (H,wt=22): 9663 (x * y) / (x * (y * K(z,u))) = L(T(K(u,z),x * y),y,x). [para(8326(a,1),8474(a,1,1)),flip(a)]. given #8672 (H,wt=22): 9664 (x * y) / (x * (y * K(z,u))) = L(K(u,T(z,x * y)),y,x). [para(7152(a,2),9663(a,2,1))]. given #8673 (H,wt=24): 9667 L(K(x,T(T(y,z),u * z)),z,u) = (u * z) / (u * (K(y,x) * z)). [para(7205(a,1),9664(a,1,2,2)),flip(a)]. given #8674 (H,wt=23): 9668 K((x * y) / (x * (z \ y)),u) = (x * y) / (x * (K(u,z) * y)). [hyper(228,a,9443,a(flip),b,9667,a(flip)),flip(a)]. given #8675 (H,wt=26): 8601 K(x,K((y * z) \ (u \ w),L(z,y,u))) = K(x,K(z,(u * (y * z)) \ w)). [para(222(a,1),8515(a,1,2,2)),flip(a)]. given #8676 (H,wt=26): 8666 L(K(x,y \ (x \ (z \ u))),z \ u,z) = K(x,(z * (y / (x \ 1))) \ u). [para(8664(a,1),6300(a,1,1))]. given #8677 (H,wt=21): 9669 K(x,(y * (z / (x \ 1))) \ u) = K(x,(y * z) \ (x \ u)). [hyper(228,a,9404,a(flip),b,8666,a(flip))]. given #8678 (H,wt=21): 9670 K(x,(y * ((x \ 1) * z)) \ (x \ u)) = K(x,(y * z) \ u). [hyper(228,a,9450,a(flip),b,9669,a(flip))]. given #8679 (H,wt=23): 9671 K(x,(y * ((x \ 1) * z)) \ T(u,x)) = K(x,(y * z) \ (u * x)). [para(32(a,2),9670(a,1,2,2))]. given #8680 (H,wt=21): 9672 K(x,(y * ((x \ 1) * z)) \ u) = K(x,(y * z) \ (u * x)). [hyper(8303,a,9671,a)]. given #8681 (H,wt=26): 8778 T(x,K(y,z)) * K(y,u) != w * v5 | w \ T(x * K(y,u),K(y,z)) = v5. [para(8773(a,1),374(a,1,2))]. given #8682 (H,wt=26): 8864 (x * y) \ ((x * (y * K(z,u))) * K(u,w)) = L(K(z,u),y,x) * K(u,w). [para(8861(a,1),512(a,1,1))]. given #8683 (H,wt=21): 9673 a(x,y * K(z,u),K(u,z)) = L(K(z,u),y,x) * K(u,z). [hyper(228,a,5084,a(flip),b,8864,a(flip)),flip(a)]. given #8684 (H,wt=21): 9674 a(x,y * K(z,u),K(u,z)) = K(u,z) * L(K(z,u),y,x). [hyper(228,a,1765,a(flip),b,9673,a)]. given #8685 (H,wt=21): 9675 K(x,y) * L(K(y,x),z * K(x,y),u) = a(u,z,K(x,y)). [para(5062(a,1),9674(a,1,2)),flip(a)]. given #8686 (H,wt=10): 9677 T(x,a(y,z,K(x,u))) = x. [para(9675(a,1),7293(a,1,2))]. given #8687 (H,wt=17): 9676 K(x,y) * L(K(y,x),z,u) = a(u,z,K(x,y)). [para(6474(a,1),9675(a,1,2))]. given #8688 (H,wt=17): 9680 a(x,y,K(z,u)) * L(K(z,u),y,x) = K(z,u). [hyper(6435,a,9676,a)]. given #8689 (H,wt=17): 9681 K(x,y) * a(z,u,K(y,x)) = L(K(x,y),u,z). [hyper(5071,a,9676,a)]. given #8690 (H,wt=17): 9682 L(K(x,y),z,u) * K(y,x) = a(u,z,K(y,x)). [hyper(1767,a,9676,a)]. given #8691 (H,wt=17): 9683 L(K(x,y),z,u) \ K(x,y) = a(u,z,K(x,y)). [hyper(228,a,6447,a,b,9676,a(flip)),flip(a)]. given #8692 (H,wt=17): 9692 L(K(x,y),z,u) * a(u,z,K(x,y)) = K(x,y). [hyper(6448,a,9682,a)]. given #8693 (H,wt=19): 9685 T(x,y) * L(K(y,x),z,u) = x * a(u,z,K(x,y)). [para(9676(a,1),4675(a,1,2)),flip(a)]. given #8694 (H,wt=19): 9687 K(x,y) * K(L(y,z,u),x) = a(u,z * y,K(x,y)). [para(6341(a,1),9676(a,1,2))]. given #8695 (H,wt=19): 9694 K(x,L(y,z,u)) * K(y,x) = a(u,z * y,K(y,x)). [para(6315(a,1),9682(a,1,1))]. given #8696 (H,wt=20): 9684 a(x,y,K(z,u)) != w | L(K(u,z),y,x) * K(z,u) = w. [para(9676(a,1),1767(a,1))]. given #8697 (H,wt=20): 9691 K(x,y) * L(K(y,x),z,u) != w | a(u,z,K(x,y)) = w. [para(9681(a,1),5046(a,1,2)),flip(b)]. given #8698 (H,wt=20): 9695 x * a(y,z,K(u,w)) != K(u,w) | L(K(u,w),z,y) = x. [para(9683(a,1),84(a,1,2)),flip(b)]. given #8699 (H,wt=20): 9698 L(K(x,y),z,u) * K(y,x) != w | a(u,z,K(y,x)) = w. [para(1761(a,2),9691(a,1))]. given #8700 (H,wt=21): 9678 K(x,y) * a(z,u,K(y,w)) = a(z,u,K(y,w)) * K(x,y). [para(9677(a,1),7174(a,1,2,2)),flip(a)]. given #8701 (H,wt=21): 9688 (x / a(y,z,K(u,w))) * K(u,w) = x * L(K(u,w),z,y). [para(9676(a,1),6512(a,1,1,2))]. given #8702 (H,wt=21): 9689 (x * K(y,z)) * a(u,w,K(z,y)) = x * L(K(y,z),w,u). [para(9676(a,1),9597(a,1,2))]. given #8703 (H,wt=21): 9690 (x * a(y,z,K(u,w))) * K(w,u) = x * L(K(w,u),z,y). [para(9676(a,1),9638(a,1,1,2))]. given #8704 (H,wt=17): 9704 x / a(y,z,K(u,w)) = x * a(y,z,K(w,u)). [hyper(18,a,9688,a,b,9690,a),flip(a)]. given #8705 (H,wt=17): 9705 (x * a(y,z,K(u,w))) \ x = a(y,z,K(w,u)). [hyper(537,a,9704,a)]. given #8706 (H,wt=20): 9707 (x * a(y,z,K(u,w))) \ x != v5 | a(y,z,K(w,u)) = v5. [para(9704(a,1),283(a,1,1)),flip(b)]. given #8707 (H,wt=20): 9708 x / a(y,z,K(u,w)) != v5 | x * a(y,z,K(w,u)) = v5. [para(9705(a,1),293(a,1,2)),flip(b)]. given #8708 (H,wt=22): 9693 (x * y) \ ((x * (y * K(z,u))) * K(u,z)) = a(x,y,K(u,z)). [hyper(228,a,8864,a,b,9682,a(flip)),flip(a)]. given #8709 (H,wt=22): 9699 K(x,y) * K(y,L(x,z,u)) != w | a(u,z * x,K(x,y)) = w. [para(6315(a,1),9691(a,1,2))]. given #8710 (H,wt=22): 9700 K(x,y) * K(L(y,z,u),x) != w | a(u,z * y,K(x,y)) = w. [para(6341(a,1),9691(a,1,2))]. given #8711 (H,wt=23): 9686 K(x \ 1,y) * K(y,L(x,z,u) \ 1) = a(u,z,K(x \ 1,y)). [para(6097(a,1),9676(a,1,2))]. given #8712 (H,wt=23): 9703 (x * T(y,z)) * L(K(z,y),u,w) = (x * y) * a(w,u,K(y,z)). [para(5207(a,1),9689(a,1,1)),flip(a)]. given #8713 (H,wt=23): 9712 x * (T(y,z) * L(K(z,y),u,w)) = (x * y) * a(w,u,K(y,z)). [hyper(228,a,7346,a(flip),b,9703,a(flip)),flip(a)]. given #8714 (H,wt=21): 9713 (x * y) * a(z,u,K(y,w)) = x * (y * a(z,u,K(y,w))). [para(9685(a,1),9712(a,1,2)),flip(a)]. given #8715 (H,wt=11): 9714 a(x,y,a(z,u,K(y,w))) = 1. [hyper(70,a,9713,a(flip),b,89,a),flip(a)]. given #8716 (H,wt=13): 9715 a(x,T(y,z),a(u,w,K(y,v5))) = 1. [para(7829(a,1),9714(a,1,3,3))]. given #8717 (H,wt=24): 9679 a(x,y,K(z,u)) * K(w,z) != v5 | K(w,z) * a(x,y,K(z,u)) = v5. [para(9677(a,1),7176(a,1,2,2))]. given #8718 (H,wt=24): 9701 x * L(K(y,z),u,w) != v5 * K(y,z) | x / a(w,u,K(y,z)) = v5. [para(9688(a,1),20(a,1))]. given #8719 (H,wt=24): 9702 (x * K(y,z)) * u != x * L(K(y,z),w,v5) | a(v5,w,K(z,y)) = u. [para(9689(a,1),19(a,1)),flip(a)]. given #8720 (H,wt=24): 9706 T(x * y,z) * a(x,y,K(z,x * y)) = x * (y * K(x * y,z)). [hyper(228,a,4763,a(flip),b,9704,a(flip))]. given #8721 (H,wt=26): 8889 R(x,y,x) \ (x * (z * a(x,y,x))) = L(T(z,a(x,y,x)),a(x,y,x),x). [para(8880(a,1),179(a,1,1))]. given #8722 (H,wt=26): 8925 K(x,y) * z != u * (K(x,y) * K(w,x)) | T(u * K(w,x),K(x,y)) = z. [para(8858(a,1),172(a,2))]. given #8723 (H,wt=26): 8938 (x * K(y,z)) * K(u,T(y,w)) != v5 | x * (K(y,z) * K(u,T(y,w))) = v5. [para(8936(a,1),218(a,1,2))]. given #8724 (H,wt=26): 9067 K((x * (y * z)) \ ((x * z) * y),K(z,u)) = K(K(a(x,z,T(y,z)),z),u). [para(8577(a,1),7693(a,1,1)),flip(a)]. given #8725 (H,wt=26): 9092 K(x,T((y / (z * y)) \ x,z)) = K(x,R(1 / (1 / (1 / z)),z,y) \ x). [para(4014(a,2),9090(a,1,2,1)),flip(a)]. given #8726 (H,wt=26): 9103 K(x,T(y \ (R(x,z,u) * w),w)) != v5 | K(x,(R(x,z,u) * w) / y) = v5. [para(9099(a,1),8176(a,1))]. given #8727 (H,wt=26): 9133 K(x,T((y * (x \ z)) \ u,y * z)) != w | K(x,u / (y * (x \ z))) = w. [para(9131(a,1),7960(a,1))]. given #8728 (H,wt=26): 9149 T(T(x * K(y,x),z),u) \ T(T(x,z),u) != w | K(x,T(T(y,u),z)) = w. [para(7211(a,2),7637(a,1))]. given #8729 (H,wt=26): 9189 R(K(x,y),z * (y * K(u,x)),w) != v5 | K(x,R(y * K(u,x),z,w)) = v5. [para(7131(a,1),9188(a,1,1))]. given #8730 (H,wt=26): 9386 K(x,K(y,R(z,u,w) * (z \ y))) != v5 | K(x,K(y,R(z,u,w) \ z)) = v5. [para(9226(a,2),8113(a,1))]. given #8731 (H,wt=26): 9490 R(K(T(T(x,y),y * z),u),y,z) = ((y * z) \ ((y * K(u,x)) * z)) \ 1. [para(9424(a,1),6913(a,1,1)),flip(a)]. given #8732 (H,wt=26): 9491 L(T(K(x \ y,T(x,z)),z),z,y) = (y * (K(x \ y,x) * z)) / (y * z). [para(9119(a,1),9445(a,1,1,1))]. given #8733 (H,wt=22): 9719 (x * (K(y \ x,y) * z)) / (x * z) = L(K(y \ x,y),z,x). [para(7819(a,1),9491(a,1,1)),flip(a)]. given #8734 (H,wt=22): 9720 L(K(x \ y,x),z,y) * (y * z) = y * (K(x \ y,x) * z). [para(9719(a,1),16(a,1,1))]. given #8735 (H,wt=26): 9539 x * (T(y,K(z,u)) / w) != y / w | K((T(y,u) / w) / (y / w),z) = x. [para(9537(a,1),5045(a,1,2))]. given #8736 (H,wt=17): 9723 K((T(x,y) / z) / (x / z),u) = K(x,K(y,u)). [hyper(9539,a,9544,a)]. given #8737 (H,wt=26): 9562 T(x / y,T((y * z) \ x,y)) != u | T(x / y,T(z \ (y \ x),y)) = u. [para(8197(a,1),7334(a,1))]. given #8738 (H,wt=26): 9653 K(R(x \ R(x,y,z),x,y * z),u) = K(a(x,y,z),T(u,x * (y * z))). [para(3520(a,2),7900(a,1,1))]. given #8739 (H,wt=26): 9666 L(K(x,T(x * y,z * y)),y,z) = (z * y) / (z * (x \ T(x * y,x))). [para(5292(a,2),9664(a,1,2,2)),flip(a)]. given #8740 (H,wt=24): 9727 (x * y) / (x * (z \ T(z * y,z))) = L(K(z,T(y * z,x)),y,x). [para(9132(a,1),9666(a,1,1)),flip(a)]. given #8741 (H,wt=26): 9716 (x * K(y,T(z,u))) * K(z,w) != v5 | x * (K(z,w) * K(y,T(z,u))) = v5. [para(9150(a,2),8938(a,1))]. given #8742 (H,wt=26): 9717 K((x * (y * z)) \ ((x * z) * y),K(z,u)) = K(z,K(u,a(x,z,T(y,z)))). [hyper(228,a,7724,a(flip),b,9067,a)]. given #8743 (H,wt=26): 9718 R(K(x,T(T(y,z),z * u)),z,u) = ((z * u) \ ((z * K(y,x)) * u)) \ 1. [para(7491(a,1),9490(a,1,1))]. given #8744 (H,wt=25): 9729 ((x * y) \ ((x * K(z,u)) * y)) \ 1 = (x * y) \ ((x * K(u,z)) * y). [hyper(228,a,9424,a(flip),b,9718,a(flip))]. given #8745 (H,wt=25): 9730 K(((x / y) * z) \ (x * z),u) \ 1 = (x * z) \ ((x * K(u,y)) * z). [para(6717(a,2),9729(a,1,1))]. given #8746 (H,wt=26): 9728 K(x,K(y,(z * (u * x)) \ ((z * x) * u))) = K(x,K(y,a(z,x,T(u,x)))). [hyper(7760,a,9717,a)]. given #8747 (H,wt=26): 9731 (x * y) \ ((x * K(z,u)) * y) != w | K(z,((x / u) * y) \ (x * y)) = w. [para(9730(a,1),4887(a,1))]. given #8748 (H,wt=27): 7179 L(K(x,T(y,z \ u)),z \ u,z) != w | u \ (z * (K(x,y) * (z \ u))) = w. [para(7152(a,2),675(a,1,1))]. given #8749 (H,wt=27): 7189 K(x,T(y,z)) \ T(u / (u / K(x,y)),z) = K(K(x,y) \ u,T(K(x,y),z)). [para(7152(a,2),5909(a,1,1))]. given #8750 (H,wt=27): 7365 x \ (((y \ x) * y) * L(T(y,z),u,w)) = K(y \ x,y) * L(T(y,z),u,w). [para(7340(a,1),511(a,1,1))]. given #8751 (H,wt=27): 7539 L(x,y,x) * K(x,R(z \ 1,u,w) \ 1) = L(x * R(K(x,z),u,w),y,x). [para(6910(a,1),7413(a,2,1))]. given #8752 (H,wt=23): 9734 L(x * R(K(x,y),z,u),w,x) = L(x,w,x) * R(K(x,y),z,u). [para(6907(a,1),7539(a,1,2)),flip(a)]. given #8753 (H,wt=23): 9735 L(x * R(K(x,y),z,u),w,x) = R(K(x,y),z,u) * L(x,w,x). [hyper(228,a,3175,a,b,9734,a)]. given #8754 (H,wt=27): 7682 R(x * K(R(y \ 1,z,u) \ 1,x),w,x) = R(x,w,x) * R(K(y,x),z,u). [para(6122(a,1),7103(a,2,2))]. given #8755 (H,wt=23): 9736 R(x * R(K(y,x),z,u),w,x) = R(x,w,x) * R(K(y,x),z,u). [para(6122(a,1),7682(a,1,1,2))]. given #8756 (H,wt=23): 9737 R(x * R(K(y,x),z,u),w,x) \ R(x,w,x) = R(K(x,y),z,u). [para(9736(a,2),6912(a,1,1))]. given #8757 (H,wt=27): 8030 K(x / y,z) * K(K(y \ x,z) * x,x) = x \ T(x * K(x / y,z),x). [para(7821(a,2),5292(a,2,2,1)),flip(a)]. given #8758 (H,wt=27): 8110 K(1 / ((1 / x) / y),K(z,(y * x) / u)) = (T(y * x,K(z,u)) / x) / y. [para(8108(a,1),5868(a,2,1,1))]. given #8759 (H,wt=25): 9739 K(x,K((1 / y) / z,(z * y) / u)) = (T(z * y,K(x,u)) / y) / z. [hyper(8105,a,8110,a)]. given #8760 (H,wt=23): 9740 K(x,K((1 / y) / z,(z * y) / u)) = K(x,K(u,(1 / y) / z)). [hyper(228,a,8104,a(flip),b,9739,a)]. given #8761 (H,wt=27): 8221 T((1 / ((x * y) \ x)) * K(y,z),y) = ((1 / ((x * y) \ x)) / y) * T(y,z). [para(6418(a,1),7580(a,1,1,1)),flip(a)]. given #8762 (H,wt=27): 8419 L(K(x,y \ ((z \ u) * x)),z \ u,z) != w | K(x,(z * (x \ y)) \ u) = w. [para(8414(a,1),6781(a,1,1))]. given #8763 (H,wt=22): 9742 K(x,(y * (z / x)) \ u) != w | K(x,(y * (x \ z)) \ u) = w. [para(8415(a,1),8419(a,1))]. given #8764 (H,wt=27): 8436 x * (K(x / y,z) * K(x * K(y \ x,z),x)) = T(x * K(x / y,z),x). [para(7352(a,1),5522(a,1,2,2))]. given #8765 (H,wt=27): 8476 R(K(x,T(y,z)),u,w) * (z * K(y,v5)) = (z * K(y,v5)) * R(K(x,y),u,w). [para(7057(a,1),7835(a,1,1,1,2))]. given #8766 (H,wt=27): 8645 K((x * (y * z)) \ (x * ((z * u) * y)),y) = K(L(L(u,z,y),y * z,x),y). [para(447(a,1),8574(a,2,1))]. given #8767 (H,wt=24): 9744 K((x * (y * z)) \ (x * ((z * u) * y)),y) = K(L(u,y * z,x),y). [hyper(228,a,7121,a(flip),b,8645,a)]. given #8768 (H,wt=24): 9746 K((x * y) \ (z \ (x * ((y * u) * z))),z) = K(L(u,z * y,x),z). [hyper(228,a,9267,a(flip),b,9744,a(flip)),flip(a)]. given #8769 (H,wt=27): 8824 (K(x,y) * T(z,u)) / T(K(x,y),z) = (z * (K(x,y) * K(z,u))) * K(y,x). [hyper(228,a,8230,a,b,8037,a),flip(a)]. given #8770 (H,wt=27): 8865 T(K(x,y),z) * T(K(y,u),K(x,y) * z) = z \ (K(y,u) * (K(x,y) * z)). [para(8863(a,1),867(a,1,1)),flip(a)]. given #8771 (H,wt=23): 9748 x \ (K(y,z) * (K(u,y) * x)) = T(K(u,y),x) * T(K(y,z),x). [para(7609(a,1),8865(a,1,2)),flip(a)]. given #8772 (H,wt=27): 8900 (x * y) \ (y * (T(z * T(x,y),z) / z)) = L(a(z,T(x,y),z),T(x,y),y). [para(8883(a,2),178(a,1,2,2))]. given #8773 (H,wt=27): 9018 ((x * y) * a(T(y,x),z,T(y,x))) \ ((y * x) * y) = L(T(y,x),z,T(y,x)). [para(750(a,1),9015(a,1,2))]. given #8774 (H,wt=27): 9170 K(T(x,T(y,x)),((T(x,y) \ 1) * y) \ z) = K(x,z / ((x \ 1) * T(y,x))). [para(5225(a,2),9169(a,1,2,1))]. given #8775 (H,wt=25): 9751 K(T(x,y),((T(x,y) \ 1) * y) \ z) = K(x,z / ((x \ 1) * T(y,x))). [para(3921(a,1),9170(a,1,1))]. given #8776 (H,wt=23): 9752 K(T(x,y),((T(x,y) \ 1) * y) \ z) = K(x,z / ((x \ 1) * y)). [hyper(228,a,8812,a(flip),b,9751,a)]. given #8777 (H,wt=27): 9223 T(K(x,y) * T(z,K(y,u)),K(y,u)) = K(y,u) * (K(x,y) * (K(y,u) \ z)). [para(6003(a,1),8394(a,1,1,2))]. given #8778 (H,wt=27): 9270 K((x * (y \ z)) \ ((1 / (y \ z)) \ u),1 / (y \ z)) = K(x \ u,z \ y). [hyper(228,a,5555,a(flip),b,9268,a)]. given #8779 (H,wt=27): 9365 K(T(x / (1 / (1 / y)),1 / z) / (1 / y),z) = K((x / y) / (y \ 1),z). [para(2949(a,1),9357(a,2,1))]. given #8780 (H,wt=23): 9755 K((x / y) / (y \ 1),1 / y) = K((y \ x) / (y \ 1),1 / y). [para(3099(a,1),9365(a,1,1)),flip(a)]. given #8781 (H,wt=23): 9756 K((x / y) / (y \ 1),1 / y) = K((y \ x) / (1 / y),1 / y). [hyper(228,a,5346,a,b,9755,a)]. given #8782 (H,wt=23): 9757 K((x / y) / (1 / y),1 / y) = K((y \ x) / (1 / y),1 / y). [hyper(228,a,5346,a,b,9756,a(flip)),flip(a)]. given #8783 (H,wt=27): 9398 T(T(x,K(y,x)),z * x) * ((T(x,x * z) * K(y,x)) \ u) = K(x,y) * u. [para(4072(a,1),9382(a,1,1))]. given #8784 (H,wt=23): 9759 T(x,y * x) * ((T(x,x * y) * K(z,x)) \ u) = K(x,z) * u. [para(2499(a,1),9398(a,1,1,1))]. given #8785 (H,wt=18): 9760 T(x,y * x) * (L(x,y,x) \ z) = K(x,y) * z. [para(5301(a,1),9759(a,1,2,1))]. given #8786 (H,wt=18): 9761 T(x,x * y) * (L(x,y,x) \ z) = K(x,y) * z. [para(4066(a,1),9760(a,1,1))]. given #8787 (H,wt=18): 9762 K(x,x * y) * (z * a(x,y,x)) = K(x,y) * z. [hyper(228,a,9022,a,b,9761,a(flip)),flip(a)]. given #8788 (H,wt=13): 9763 (a(x,y,x) \ z) * a(x,y,x) = z. [hyper(9487,a,9762,a)]. given #8789 (H,wt=8): 9766 T(x,a(y,z,y)) = x. [hyper(7605,a,9763,a)]. given #8790 (H,wt=8): 9772 K(x,a(y,z,y)) = 1. [hyper(36,a,9766,a)]. given #8791 (H,wt=10): 9775 x * K(y,a(z,u,z)) = x. [para(9772(a,2),12(a,1,2))]. given #8792 (H,wt=11): 9767 T(a(x,y,x),z) = a(x,y,x). [hyper(5922,a,9763,a)]. given #8793 (H,wt=13): 9764 a(x,y,x) * z = z * a(x,y,x). [hyper(9484,a,9762,a)]. given #8794 (H,wt=13): 9768 x / a(y,z,y) = a(y,z,y) \ x. [hyper(85,a,9763,a)]. given #8795 (H,wt=13): 9771 (x * a(y,z,y)) / x = a(y,z,y). [hyper(4200,a,9766,a)]. given #8796 (H,wt=13): 9779 T(a(x,y,x),z) = x \ R(x,y,x). [hyper(228,a,8875,a,b,9767,a)]. given #8797 (H,wt=15): 9789 (x / y) \ (a(y,z,y) \ x) = L(y,z,y). [para(9768(a,1),9027(a,1,2))]. given #8798 (H,wt=16): 9770 x / a(y,z,y) != u | a(y,z,y) \ x = u. [para(9763(a,1),295(a,1,1)),flip(b)]. given #8799 (H,wt=16): 9773 a(x,y,x) * z != z * u | a(x,y,x) = u. [para(9766(a,1),173(a,1,2)),flip(b)]. given #8800 (H,wt=16): 9774 a(x,y,x) * z != u | z * a(x,y,x) = u. [para(9766(a,1),219(a,1,2))]. given #8801 (H,wt=16): 9776 x * a(y,z,y) != u | a(y,z,y) * x = u. [para(9775(a,1),204(a,1)),flip(a)]. given #8802 (H,wt=17): 9793 K(x * y,x) != z | K(y,x) * a(x,y,x) = z. [para(8891(a,1),9774(a,1))]. given #8803 (H,wt=19): 9769 L(a(x,y,x) * z,u,w) = L(z * a(x,y,x),u,w). [hyper(228,a,4580,a(flip),b,9763,a(flip))]. given #8804 (H,wt=19): 9777 R(a(x,y,x),z,u) * w = w * R(a(x,y,x),z,u). [para(9775(a,1),4749(a,1,1,1))]. given #8805 (H,wt=11): 9795 T(x,R(a(y,z,y),u,w)) = x. [hyper(174,a,9777,a)]. given #8806 (H,wt=20): 9765 K(x,y) * (z * L(x,y,x)) = K(x,x * y) * (z * x). [para(9017(a,1),9762(a,1,2)),flip(a)]. given #8807 (H,wt=20): 9778 (x * (y * a(z,u,z))) / (x * y) = L(a(z,u,z),y,x). [para(9775(a,1),4842(a,1,1)),flip(a)]. given #8808 (H,wt=20): 9780 x * a(y,z,y) != u * w | u \ (a(y,z,y) * x) = w. [para(9767(a,1),535(a,1,2))]. given #8809 (H,wt=22): 9781 a(x,R(y,z,u),x) * R(y,z,u) = R(y * a(x,y,x),z,u). [hyper(228,a,9292,a(flip),b,9764,a)]. given #8810 (H,wt=23): 9783 L(x \ (a(y,z,y) \ u),x,a(y,z,y)) = (x * a(y,z,y)) \ u. [para(9764(a,1),222(a,2,1))]. given #8811 (H,wt=17): 9796 (a(x,y,x) * z) \ u = (z * a(x,y,x)) \ u. [hyper(228,a,222,a(flip),b,9783,a(flip)),flip(a)]. given #8812 (H,wt=23): 9791 T(a(x / y,z,x / y),u) = (x / y) \ R(x / y,z,y \ x). [para(7051(a,1),9779(a,2,2))]. given #8813 (H,wt=23): 9794 L(x * a(y,z,y),K(u,a(y,z,y) * x),w) = a(y,z,y) * x. [hyper(228,a,6618,a(flip),b,9769,a(flip))]. given #8814 (H,wt=20): 9797 T(x,a(y,z,y) * u) != w | T(x,u * a(y,z,y)) = w. [para(9794(a,1),7081(a,1,2))]. given #8815 (H,wt=24): 9785 (x * y) \ ((x * a(z,u,z)) * y) = R(T(a(z,u,z),x * y),x,y). [para(9764(a,1),595(a,1,2,1))]. given #8816 (H,wt=20): 9798 (x * y) \ ((x * a(z,u,z)) * y) = R(a(z,u,z),x,y). [para(9767(a,1),9785(a,2,1))]. given #8817 (H,wt=21): 9799 (x * y) \ ((T(z * x,z) / z) * y) = R(a(z,x,z),x,y). [para(8883(a,2),9798(a,1,2,1))]. given #8818 (H,wt=24): 9790 a(x,y,x) \ T(z * a(x,y,x),u) = z * K(z * a(x,y,x),u). [para(9771(a,1),6262(a,1,1))]. given #8819 (H,wt=25): 9788 (x / (K(y,y * z) * a(y,z,y))) * K(y,y * z) = a(y,z,y) \ x. [hyper(228,a,9594,a,b,9768,a(flip)),flip(a)]. given #8820 (H,wt=18): 9802 (x / K(y,z)) * K(y,y * z) = a(y,z,y) \ x. [para(8890(a,1),9788(a,1,1,2))]. given #8821 (H,wt=18): 9803 (x * K(y,z)) * K(z,z * y) = a(z,y,z) \ x. [para(5063(a,1),9802(a,1,1))]. given #8822 (H,wt=15): 9804 (x / R(y,z,y)) * y = a(y,z,y) \ x. [hyper(228,a,6652,a(flip),b,9803,a(flip)),flip(a)]. given #8823 (H,wt=15): 9805 (x / R(y,z,y)) * y = x / a(y,z,y). [hyper(228,a,9768,a,b,9804,a)]. given #8824 (H,wt=15): 9806 (a(x,y,x) * (z * x)) / R(x,y,x) = z. [hyper(18,a,13,a(flip),b,9804,a)]. given #8825 (H,wt=15): 9807 (x * a(y,z,y)) / R(y,z,y) = x / y. [hyper(72,a,15,a(flip),b,9805,a),flip(a)]. given #8826 (H,wt=15): 9808 x * (y \ L(y,z,y)) = x / a(y,z,y). [hyper(228,a,8945,a(flip),b,9805,a(flip)),flip(a)]. given #8827 (H,wt=15): 9809 a(x,y,x) * (z * x) = z * R(x,y,x). [para(9806(a,1),16(a,1,1)),flip(a)]. given #8828 (H,wt=15): 9810 (x * R(y,z,y)) / (x * y) = a(y,z,y). [para(9806(a,1),67(a,1,1,1))]. given #8829 (H,wt=15): 9811 (x / y) * R(y,z,y) = x * a(y,z,y). [para(9807(a,1),16(a,1,1))]. given #8830 (H,wt=15): 9813 (x * y) * a(y,z,y) = x * R(y,z,y). [hyper(9774,a,9809,a)]. given #8831 (H,wt=15): 9815 (x * y) \ (x * R(y,z,y)) = a(y,z,y). [hyper(71,a,9809,a(flip),b,9764,a(flip))]. given #8832 (H,wt=15): 9821 R(x,y,x) * (x \ z) = z * a(x,y,x). [hyper(228,a,7124,a,b,9811,a(flip)),flip(a)]. given #8833 (H,wt=15): 9825 (x * y) * a(x,z,x) = R(x,z,x) * y. [para(13(a,1),9821(a,1,2)),flip(a)]. given #8834 (H,wt=15): 9826 x * (y * a(x,z,x)) = R(x,z,x) * y. [para(9821(a,1),1223(a,1,2))]. given #8835 (H,wt=15): 9827 a(x,y,x) * (x * z) = R(x,y,x) * z. [hyper(9776,a,9825,a)]. given #8836 (H,wt=15): 9832 x * (a(x,y,x) * z) = R(x,y,x) * z. [para(9764(a,2),9826(a,1,2))]. given #8837 (H,wt=15): 9834 a(x,y,x) * (R(x,y,x) \ z) = x \ z. [hyper(71,a,14,a(flip),b,9832,a),flip(a)]. given #8838 (H,wt=18): 9812 x * (y \ L(y,z,y)) != u | a(y,z,y) \ x = u. [para(9808(a,2),9770(a,1))]. given #8839 (H,wt=18): 9816 (x * R(y,z,y)) / (x * y) != u | a(y,z,y) = u. [para(9809(a,1),295(a,1,1)),flip(b)]. given #8840 (H,wt=18): 9818 a(x,y,x) * (z * x) != u | z * R(x,y,x) = u. [para(9810(a,1),215(a,1,1)),flip(b)]. given #8841 (H,wt=18): 9828 (x * y) \ (R(x,z,x) * y) != u | a(x,z,x) = u. [para(9825(a,1),284(a,1,2)),flip(b)]. given #8842 (H,wt=18): 9829 (x * y) \ (R(x,z,x) * y) = L(a(x,z,x),y,x). [hyper(71,a,9826,a(flip),b,100,a)]. given #8843 (H,wt=12): 9836 L(a(x,y,x),z,x) = a(x,y,x). [hyper(9828,a,9829,a),flip(a)]. given #8844 (H,wt=18): 9837 L(a(x,y,x),z,x) = (u * x) \ (u * R(x,y,x)). [hyper(228,a,9815,a,b,9836,a)]. given #8845 (H,wt=20): 9822 (x / y) * ((y \ z) \ T(z,y)) = x * a(y,y \ z,y). [para(4044(a,1),9811(a,1,2))]. given #8846 (H,wt=21): 9814 (x * R(x \ y,z,x \ y)) / y = a(x \ y,z,x \ y). [hyper(72,a,9809,a(flip),b,86,a(flip))]. given #8847 (H,wt=22): 9817 a(x,y,x) * (z * x) != u * w | u \ (z * R(x,y,x)) = w. [para(9809(a,2),437(a,1))]. given #8848 (H,wt=22): 9820 a(x,y,x) * (z * x) != u * w | (z * R(x,y,x)) / w = u. [para(9810(a,1),376(a,1,1))]. given #8849 (H,wt=22): 9830 x * (y * a(x,z,x)) != u * w | u \ (R(x,z,x) * y) = w. [para(9826(a,2),437(a,1))]. given #8850 (H,wt=23): 9823 K(x,y) * ((z / y) * R(y,u,y)) = y * (L(T(y,x),u,y) \ z). [para(9811(a,2),9030(a,1,2))]. given #8851 (H,wt=24): 9824 (x * (y * R(z,u,z))) / (x * (y * z)) = L(a(z,u,z),y * z,x). [para(9813(a,1),9778(a,1,1,2))]. given #8852 (H,wt=24): 9831 L(T(x,a(y,z,y)),a(y,z,y),y) = R(y,z,y) \ (R(y,z,y) * x). [para(9826(a,1),8889(a,1,2)),flip(a)]. given #8853 (H,wt=14): 9839 L(T(x,a(y,z,y)),a(y,z,y),y) = x. [hyper(228,a,13,a(flip),b,9831,a)]. given #8854 (H,wt=9): 9841 L(x,a(y,z,y),y) = x. [para(9766(a,1),9839(a,1,1))]. given #8855 (H,wt=24): 9835 (x * R(x \ y,z,x \ y)) / y != u | a(x \ y,z,x \ y) = u. [para(14(a,1),9816(a,1,2))]. given #8856 (H,wt=26): 9784 (a(x,y,x) * z) \ ((z * u) * a(x,y,x)) != w | L(u,z,a(x,y,x)) = w. [para(9764(a,1),456(a,1,2))]. given #8857 (H,wt=26): 9838 L(a(x \ y,z,x \ y),u,x \ y) = y \ (x * R(x \ y,z,x \ y)). [hyper(228,a,292,a(flip),b,9837,a)]. given #8858 (H,wt=27): 9444 L(K(x,T(T(y,z),u * z)),z,u) != w | K((u * z) / (u * (x \ z)),y) = w. [para(9060(a,2),6773(a,1))]. given #8859 (H,wt=26): 9844 (x * y) / (x * (K(z,u) * y)) != w | K((x * y) / (x * (u \ y)),z) = w. [para(9667(a,1),9444(a,1))]. given #8860 (H,wt=27): 9468 K(((x \ y) / z) \ y,(x * ((x \ y) / z)) \ y) = K(((x \ y) / z) \ y,z). [para(64(a,1),9467(a,2,2))]. given #8861 (H,wt=27): 9569 K(x,K(y,z \ 1)) \ (K(z \ 1,x) * (z \ K(z,y))) = T(z \ K(z,y),x). [para(9568(a,1),5151(a,1,1))]. given #8862 (H,wt=27): 9585 T(T(x,x * y) * R(x \ (x * y),z,u),x) = T(x * R(y,z,u),x * y). [hyper(228,a,3966,a(flip),b,8606,a)]. given #8863 (H,wt=23): 9846 T(T(x,x * y) * R(y,z,u),x) = T(x * R(y,z,u),x * y). [para(13(a,1),9585(a,1,1,2,1))]. given #8864 (H,wt=27): 9601 K(T(x * K(y,x),z) / z,u) = K(((y * x) / y) / T(z,(y * x) / y),u). [para(5399(a,1),9599(a,1,1,1))]. given #8865 (H,wt=25): 9847 K(T(x * K(y,x),z) / z,u) = K(((y * x) / y) / T(z,T(x,y)),u). [para(7929(a,1),9601(a,2,1,2))]. given #8866 (H,wt=27): 9697 (x / (x / y)) * K(L(y,z,u),y \ x) = y * a(u,z * y,K(y \ x,y)). [para(9687(a,1),5700(a,2,2))]. given #8867 (H,wt=25): 9848 x / T(x / y,T(L(y,z,u),y)) = y * a(u,z * y,K(y \ x,y)). [hyper(7338,a,9697,a)]. given #8868 (H,wt=23): 9849 x / T(x / y,L(y,z,u)) = y * a(u,z * y,K(y \ x,y)). [para(130(a,1),9848(a,1,2,2))]. given #8869 (H,wt=27): 9733 K(x \ y,x) * L(T(x,x \ y),z,u) = y \ ((L(x,z,u) * (x \ y)) * x). [para(1244(a,1),7365(a,1,2)),flip(a)]. given #8870 (H,wt=27): 9738 K(x / y,z) * K(K(y \ x,z) * x,x) = K(T(x / (x / y),x) \ x,z). [hyper(228,a,6410,a,b,8030,a)]. given #8871 (H,wt=23): 9851 K(x / y,z) * K(K(y \ x,z) * x,x) = K(x / T(y,x),z). [para(4191(a,1),9738(a,2,1))]. given #8872 (H,wt=23): 9852 K(x / y,z) * K(x * K(y \ x,z),x) = K(x / T(y,x),z). [para(5647(a,1),9851(a,1,2))]. given #8873 (H,wt=19): 9853 T(x * K(x / y,z),x) = x * K(x / T(y,x),z). [para(9852(a,1),8436(a,1,2)),flip(a)]. given #8874 (H,wt=19): 9854 T(x * K(x / y,z),x) = x * K(T(x,y) / y,z). [para(3937(a,2),9853(a,2,2,1))]. given #8875 (H,wt=27): 9743 R(K(x,T(y,z)),u,w) * (z * K(y,x)) = z * (R(K(x,y),u,w) * K(y,x)). [hyper(228,a,9588,a(flip),b,8476,a)]. given #8876 (H,wt=27): 9747 (K(x,y) * T(z,u)) / K(x,T(y,z)) = (z * (K(x,y) * K(z,u))) * K(y,x). [para(7152(a,2),8824(a,1,2))]. given #8877 (H,wt=27): 9750 (x * y) \ (y * T(T(z * x,z) / z,y)) = L(a(z,T(x,y),z),T(x,y),y). [para(1452(a,1),8900(a,1,2,2))]. given #8878 (H,wt=25): 9856 L(a(x,T(y,z),x),T(y,z),z) = (y * z) \ ((T(x * y,x) / x) * z). [para(113(a,1),9750(a,1,2)),flip(a)]. given #8879 (H,wt=19): 9857 L(a(x,T(y,z),x),T(y,z),z) = R(a(x,y,x),y,z). [hyper(228,a,9799,a(flip),b,9856,a)]. given #8880 (H,wt=27): 9753 T(T(K(x,y) * z,K(y,u)),K(y,u)) = K(y,u) * (K(x,y) * (K(y,u) \ z)). [para(8768(a,2),9223(a,1,1))]. given #8881 (H,wt=19): 9859 K(x,y) * (K(z,x) * (K(x,y) \ u)) = K(z,x) * u. [hyper(7795,a,9753,a)]. given #8882 (H,wt=19): 9861 K(x,y) * (K(z,x) * u) = K(z,x) * (K(x,y) * u). [para(13(a,1),9859(a,1,2,2))]. given #8883 (H,wt=19): 9862 K(x,y) * (K(z,x) * (K(y,x) * u)) = K(z,x) * u. [para(5035(a,1),9859(a,1,2,2))]. given #8884 (H,wt=19): 9863 K(x,y) * (K(y,z) * (K(y,x) * u)) = K(y,z) * u. [para(5042(a,1),9861(a,1,2)),flip(a)]. given #8885 (H,wt=19): 9865 K(x,y) * (K(z,y) * u) = K(z,y) * (K(x,y) * u). [hyper(5071,a,9862,a)]. given #8886 (H,wt=19): 9866 K(x,y) * (K(x,z) * u) = K(x,z) * (K(x,y) * u). [hyper(5071,a,9863,a)]. given #8887 (H,wt=23): 9868 K(x,K(y,z)) * (K(z,u) * w) = K(z,u) * (K(z,K(x,y)) * w). [para(7728(a,2),9866(a,1,1))]. given #8888 (H,wt=23): 9869 K(x,K(y,z)) * (K(z,u) * w) = K(z,u) * (K(x,K(y,z)) * w). [para(7728(a,2),9868(a,2,2,1))]. given #8889 (H,wt=23): 9870 K(x,y) * (K(z,K(u,x)) * (K(x,y) \ w)) = K(z,K(u,x)) * w. [hyper(302,a,9869,a),flip(a)]. given #8890 (H,wt=23): 9871 K(x,y) * (K(z,K(x,u)) * (K(x,y) \ w)) = K(u,K(z,x)) * w. [para(7728(a,2),9870(a,1,2,1))]. given #8891 (H,wt=27): 9758 (x / y) / ((x / y) / (1 / y)) = (1 / y) * K((y \ x) / (1 / y),1 / y). [para(9757(a,1),4829(a,2,2))]. given #8892 (H,wt=25): 9872 (x / y) / ((x / y) / (1 / y)) = (1 / y) * K((y \ x) * y,1 / y). [para(5644(a,1),9758(a,2,2))]. given #8893 (H,wt=21): 9873 (x / y) / ((x / y) / (1 / y)) = (1 / y) * K(x,1 / y). [para(6181(a,1),9872(a,2,2))]. given #8894 (H,wt=19): 9874 (x / y) / ((x / y) / (1 / y)) = K(x,1 / y) / y. [hyper(228,a,2188,a(flip),b,9873,a)]. given #8895 (H,wt=25): 9875 x / ((y / (x \ y)) / (1 / (x \ y))) = K(y,1 / (x \ y)) / (x \ y). [para(61(a,1),9874(a,1,1))]. given #8896 (H,wt=21): 9876 K(x,1 / (y \ x)) / (y \ x) = y / (y / (1 / (y \ x))). [para(61(a,1),9875(a,1,2,1)),flip(a)]. given #8897 (H,wt=19): 9877 K(x,y / x) / (y \ x) = y / (y / (1 / (y \ x))). [para(5171(a,1),9876(a,1,1))]. given #8898 (H,wt=27): 9801 a(x,y,x) \ T(z * a(x,y,x),u) != z * w | K(z * a(x,y,x),u) = w. [para(9790(a,2),19(a,1))]. given #8899 (H,wt=27): 9833 ((R(x,y,x) * z) * u) / ((x * z) * u) != w | R(a(x,y,x),x * z,u) = w. [para(9827(a,1),489(a,1,1,1))]. given #8900 (H,wt=27): 9845 K(x,K(y,z \ 1)) \ (K(z \ 1,y) * (z \ K(z,x))) = T(z \ K(z,x),y). [para(7723(a,1),9569(a,1,1))]. given #8901 (H,wt=25): 9879 K(x,K(y,z \ 1)) \ (K(z,x) * T(z \ 1,y)) = T(z \ K(z,x),y). [para(6144(a,1),9845(a,1,2))]. given #8902 (H,wt=25): 9880 K(x,K(y,z \ 1)) * (K(z,x) * T(z \ 1,y)) = T(z \ K(z,x),y). [hyper(7768,a,9879,a)]. given #8903 (H,wt=23): 9881 K(x,K(y,z)) * (K(z,x) * T(z \ 1,y)) = T(z \ K(z,x),y). [para(8077(a,1),9880(a,1,1))]. given #8904 (H,wt=19): 9882 K(x,T(y,z)) * T(x \ 1,z) = T(x \ K(x,y),z). [hyper(228,a,8430,a(flip),b,9881,a(flip)),flip(a)]. given #8905 (H,wt=27): 9850 T(K(x \ y,x) * L(x,z,u),x \ y) = y \ ((L(x,z,u) * (x \ y)) * x). [hyper(228,a,7577,a,b,9733,a(flip)),flip(a)]. given #8906 (H,wt=25): 9883 (x / y) \ (L(y,z,u) * (y \ x)) = x \ ((L(y,z,u) * (y \ x)) * y). [hyper(7578,a,9850,a)]. given #8907 (H,wt=27): 9855 (x * (K(y,z) * K(x,u))) * K(z,y) = (K(y,z) * T(x,u)) * K(z,T(y,x)). [hyper(7237,a,9747,a),flip(a)]. given #8908 (H,wt=27): 9864 K(L(x,y / x,z),u) * (K(u,w) * v5) = K(u,w) * (L(K(x,u),y,z) * v5). [para(6339(a,1),9861(a,1,2,1)),flip(a)]. given #8909 (H,wt=25): 9885 L(K(x,y),z,u) * (K(y,w) * v5) = K(y,w) * (L(K(x,y),z,u) * v5). [para(6339(a,1),9864(a,1,1))]. given #8910 (H,wt=27): 9884 (x * (K(y,z) * K(x,u))) * K(z,y) = K(y,z) * (T(x,u) * K(z,T(y,x))). [hyper(228,a,7434,a(flip),b,9855,a)]. given #8911 (H,wt=27): 9886 (x * (K(y,z) * K(x,u))) * K(z,y) = K(y,z) * (K(x,u) * (K(z,y) * x)). [para(7183(a,2),9884(a,2,2))]. given #8912 (H,wt=21): 9887 K(x,y) * (K(z,u) * (K(y,x) * z)) = T(z,T(u,K(x,y))). [hyper(8038,a,9886,a),flip(a)]. given #8913 (H,wt=25): 9888 K(x,y) * (K(K(x,y) * z,u) * z) = T(K(x,y) * z,T(u,K(x,y))). [para(5042(a,1),9887(a,1,2,2))]. given #8914 (H,wt=25): 9889 K(x,y) * (z * K(z * K(x,y),u)) = T(K(x,y) * z,T(u,K(x,y))). [para(7893(a,1),9888(a,1,2))]. given #8915 (H,wt=28): 7347 (x * T(y,z)) * L(K(u,y),w,v5) != v6 | x * (T(y,z) * L(K(u,y),w,v5)) = v6. [para(7343(a,1),756(a,1,2,1))]. given #8916 (H,wt=28): 7478 L(x * K(y \ (x * z),x),u,w) / L(x,u,w) = K((x \ y) \ z,L(x,u,w)). [para(7119(a,1),5829(a,1,1,1,2))]. given #8917 (H,wt=21): 9890 K((x \ y) \ z,L(x,u,w)) = K(y \ (x * z),L(x,u,w)). [hyper(228,a,5829,a(flip),b,7478,a(flip))]. given #8918 (H,wt=28): 7531 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(7360(a,1),5398(a,1,1,2))]. given #8919 (H,wt=24): 9891 T(x * K(y * R(x,z,u),x),y) = R(x,T(y,T(x,w)),R(x,z,u)). [hyper(228,a,7513,a(flip),b,7531,a(flip)),flip(a)]. given #8920 (H,wt=19): 9893 R(x,T(y,T(x,z)),R(x,u,w)) = R(x,y,R(x,u,w)). [hyper(228,a,5398,a(flip),b,9891,a(flip))]. given #8921 (H,wt=25): 9894 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(7927(a,1),9893(a,1,2))]. given #8922 (H,wt=28): 7551 L(x * K(y \ (x \ z),x),u,w) / L(x,u,w) = K((y * x) \ z,L(x,u,w)). [para(7475(a,1),5829(a,1,1,1,2))]. given #8923 (H,wt=21): 9895 K((x * y) \ z,L(y,u,w)) = K(x \ (y \ z),L(y,u,w)). [hyper(228,a,5829,a(flip),b,7551,a(flip))]. given #8924 (H,wt=24): 9896 K(L(x \ y,x,z),L(x,u,w)) = K(z \ (x \ (z * y)),L(x,u,w)). [para(102(a,2),9895(a,1,1))]. given #8925 (H,wt=26): 9897 K(x,K(y \ (z \ (u \ w)),L(z,y,u))) = K(x,K(z,(u * (y * z)) \ w)). [para(9895(a,1),8601(a,1,2))]. given #8926 (H,wt=28): 7569 K(L(x,y,z),u * (K(x,w) * v5)) = L(x,y,z) / L(x * K(u * v5,x),y,z). [para(7509(a,1),5831(a,1,2,1,2)),flip(a)]. given #8927 (H,wt=21): 9898 K(L(x,y,z),u * (K(x,w) * v5)) = K(L(x,y,z),u * v5). [hyper(228,a,5831,a(flip),b,7569,a)]. given #8928 (H,wt=28): 7570 K(x * (K(y,z) * u),R(y,w,v5)) = R(y,w,v5) \ R(y * K(x * u,y),w,v5). [para(7509(a,1),5832(a,1,2,1,2)),flip(a)]. given #8929 (H,wt=21): 9899 K(x * (K(y,z) * u),R(y,w,v5)) = K(x * u,R(y,w,v5)). [hyper(228,a,5832,a(flip),b,7570,a)]. given #8930 (H,wt=17): 9900 K(x * y,R(y,z,u)) = K(y * x,R(y,z,u)). [para(4783(a,1),9899(a,1,1)),flip(a)]. given #8931 (H,wt=28): 7643 K(R(x / y,z,u) / w,y \ x) != v5 | K(w \ R(x / y,z,u),y \ x) = v5. [para(5024(a,1),7184(a,1,2))]. given #8932 (H,wt=28): 7735 (x * K(y,z)) \ K(y,K(x * K(y,z),z)) = (L(K(y,z),x,K(y,z)) * x) \ 1. [para(7723(a,1),5111(a,1,2))]. given #8933 (H,wt=28): 7886 (x * K(y,z)) * a(K(y,T(z,x)),u,u \ x) = (K(y,T(z,x)) * u) * (u \ x). [para(7823(a,1),661(a,1,1))]. given #8934 (H,wt=28): 8278 R(x,K(y,z),T(K(z,y) * u,K(y,w))) * u = (x * K(y,z)) * (K(y,z) \ u). [para(8050(a,2),5054(a,1,1))]. given #8935 (H,wt=24): 9901 R(x,K(y,z),u * K(z,y)) * u = (x * K(y,z)) * (K(y,z) \ u). [para(7788(a,1),8278(a,1,1,3))]. given #8936 (H,wt=24): 9902 R(x,K(y,z),u * K(z,y)) * u = (x * K(y,z)) * (K(z,y) * u). [para(5035(a,1),9901(a,2,2))]. given #8937 (H,wt=28): 8651 L(K(x,(y * (x \ z)) \ (u \ w)),u \ w,u) = K(x,(u * (y * (z / x))) \ w). [para(8615(a,1),6300(a,1,1))]. given #8938 (H,wt=28): 8993 K(x,K(R(y,z,u) \ y,R(w,y,v5))) = K(x,K(w,(y * v5) / (R(y,z,u) * v5))). [para(6939(a,1),8991(a,1,2)),flip(a)]. given #8939 (H,wt=28): 9028 (T(x * K(y \ x,z),x) / x) \ (x * K(x / y,z)) = L(x,K(y \ x,z),x). [para(7821(a,1),9019(a,1,2))]. given #8940 (H,wt=28): 9256 (T(x,x \ y) * a(x,z,u)) \ (a(x,z,u) * ((x \ y) \ y)) = K(a(x,z,u),x). [para(9255(a,1),8531(a,1,1,1))]. given #8941 (H,wt=15): 9905 K(a(x,y,z),T(x,u)) = K(a(x,y,z),x). [hyper(7631,a,9256,a)]. given #8942 (H,wt=28): 9394 K(x,T(y \ (R(y,z,u) * x),T(y,R(y,z,u)))) = K(x,x * (y \ R(y,z,u))). [hyper(228,a,6415,a(flip),b,9393,a)]. given #8943 (H,wt=28): 9431 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K((x \ 1) \ 1,(z * (y / x)) \ u). [hyper(228,a,2857,a,b,8415,a)]. given #8944 (H,wt=28): 9496 T(x * K((K(x,y) * z) * R(x,u,w),x),z) = R(x,K(x,y) * z,R(x,u,w)). [hyper(228,a,5398,a(flip),b,9494,a(flip))]. given #8945 (H,wt=24): 9908 T(x * K(y * R(x,z,u),x),y) = R(x,K(x,w) * y,R(x,z,u)). [para(7388(a,1),9496(a,1,1,2))]. given #8946 (H,wt=19): 9909 R(x,K(x,y) * z,R(x,u,w)) = R(x,z,R(x,u,w)). [hyper(228,a,5398,a(flip),b,9908,a(flip))]. given #8947 (H,wt=28): 9538 R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = ((T(y,K(x,z)) / u) * u) / y. [para(9537(a,1),111(a,1,1,1)),flip(a)]. given #8948 (H,wt=24): 9911 R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = T(y,K(x,z)) / y. [hyper(228,a,225,a(flip),b,9538,a)]. given #8949 (H,wt=22): 9912 R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = K(y,K(x,z)). [hyper(228,a,4696,a,b,9911,a)]. given #8950 (H,wt=22): 9914 R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = K(x,K(y,z)). [hyper(228,a,7723,a,b,9912,a)]. given #8951 (H,wt=16): 9915 R(K(x,K(y,z)),z / u,u) = K(x,K(z,y)). [para(9200(a,1),9914(a,1,1))]. given #8952 (H,wt=16): 9916 R(K(x,K(y,z)),y / u,u) = K(x,K(y,z)). [para(7741(a,1),9915(a,1,1))]. given #8953 (H,wt=16): 9918 K(x,K(y,R(z,x / u,u))) = K(z,K(x,y)). [hyper(228,a,8988,a(flip),b,9916,a(flip)),flip(a)]. given #8954 (H,wt=16): 9919 K(x,K(y,R(z,u,u \ x))) = K(z,K(x,y)). [para(61(a,1),9918(a,1,2,2,2))]. given #8955 (H,wt=27): 9920 a(K(K(x,y),z),u,u \ z) = K(w,K(v5,R(v6,v7,v7 \ w))) * K(v6,K(w,v5)). [para(9919(a,1),9552(a,2,2))]. given #8956 (H,wt=27): 9921 a(K(K(x,y),z),u,u \ z) = K(w,K(v5,R(v6,v7,v7 \ w))) * K(w,K(v5,v6)). [para(7728(a,2),9920(a,2,2))]. given #8957 (H,wt=27): 9922 a(K(x,K(y,z)),u,u \ x) = K(w,K(v5,R(v6,v7,v7 \ w))) * K(w,K(v5,v6)). [para(5972(a,1),9921(a,1,1))]. given #8958 (H,wt=28): 9573 K(x * T(y,z),T(x,u)) != K(x,K(y,T(u,z))) * w | K(x * T(y,z),x) = w. [para(8473(a,1),19(a,1))]. given #8959 (H,wt=28): 9595 x / a(y,z,y) != u | (x / (K(y,y * z) * a(y,z,y))) * K(y,y * z) = u. [para(9593(a,1),765(a,1,2))]. given #8960 (H,wt=28): 9596 R(T(x / y,K(y,x)),z,x / y) != u * (x / y) | a(x / y,z,x / y) = u. [para(8915(a,2),20(a,1))]. given #8961 (H,wt=28): 9709 (T(x,x \ y) * a(z,u,K(w,v5))) \ ((x \ y) \ y) != v6 | a(z,u,K(v5,w)) = v6. [para(245(a,2),9707(a,1,1))]. given #8962 (H,wt=28): 9722 L(K(x,y),z,y * x) * ((y * x) * z) = (y * x) * (K(y \ (y * x),y) * z). [para(13(a,1),9720(a,1,1,1,1))]. given #8963 (H,wt=24): 9923 L(K(x,y),z,y * x) * ((y * x) * z) = (y * x) * (K(x,y) * z). [para(13(a,1),9722(a,2,2,1,1))]. given #8964 (H,wt=24): 9924 ((x * y) * (K(y,x) * z)) / ((x * y) * z) = L(K(y,x),z,x * y). [hyper(85,a,9923,a)]. given #8965 (H,wt=26): 9927 ((x * y) * (K(y,x) * z)) / (z * T(x * y,z)) = L(K(y,x),z,x * y). [para(113(a,2),9924(a,1,2))]. given #8966 (H,wt=27): 9925 ((x * y) * (K(y,x) * z)) / ((x * y) * z) != u | L(K(y,x),z,x * y) = u. [para(9923(a,1),295(a,1,1)),flip(b)]. given #8967 (H,wt=28): 9786 (x * a(y,z,y)) \ (a(y,z,y) * (u * x)) != w | L(T(u,x),x,a(y,z,y)) = w. [para(9764(a,1),721(a,1,1))]. given #8968 (H,wt=28): 9903 K(x,K(R(y,z,u),R(z,w,v5) \ z)) = K(x,K(y,(z * u) / (R(z,w,v5) * u))). [hyper(7771,a,8993,a)]. given #8969 (H,wt=28): 9904 (x \ T(K(y \ x,z) * x,x)) \ (x * K(x / y,z)) = L(x,K(y \ x,z),x). [para(8034(a,1),9028(a,1,1))]. given #8970 (H,wt=28): 9906 K(x,T(R(y,z,u) * (y \ x),T(y,R(y,z,u)))) = K(x,x * (y \ R(y,z,u))). [para(1221(a,1),9394(a,1,2,1))]. given #8971 (H,wt=23): 9931 K(x,T(R(y,z,u) * (y \ x),y)) = K(x,x * (y \ R(y,z,u))). [para(602(a,1),9906(a,1,2,2))]. given #8972 (H,wt=28): 9928 ((K(x,y) * z) * T(y * x,z)) / (z * T(y * x,z)) = L(K(x,y),z,y * x). [para(8975(a,2),9927(a,1,1))]. given #8973 (H,wt=22): 9932 L(K(x,y),z,y * x) != u | R(K(x,y),z,T(y * x,z)) = u. [para(9928(a,1),489(a,1))]. given #8974 (H,wt=28): 9930 (x \ T(x * K(x / y,z),x)) \ (x * K(x / y,z)) = L(x,K(y \ x,z),x). [para(7821(a,1),9904(a,1,1,2,1))]. given #8975 (H,wt=29): 4610 L((x \ ((y \ 1) \ z)) * x,y \ 1,y) != u * w | u \ ((x \ (y * z)) * x) = w. [para(4585(a,2),437(a,1))]. given #8976 (H,wt=29): 4750 L(T(x * K(y,x),y),z,u) / (x * K(y,x)) = (1 / (x * K(y,x))) * L(x,z,u). [para(4674(a,1),2017(a,1,2,1)),flip(a)]. given #8977 (H,wt=27): 9933 L(T(x * K(y,x),y),z,u) / (x * K(y,x)) = (K(x,y) / x) * L(x,z,u). [para(4898(a,1),4750(a,2,1))]. given #8978 (H,wt=21): 9934 L(x,y,z) / (x * K(u,x)) = (K(x,u) / x) * L(x,y,z). [para(4674(a,1),9933(a,1,1,1))]. given #8979 (H,wt=21): 9935 ((K(x,y) / x) * L(x,z,u)) \ L(x,z,u) = x * K(y,x). [para(9934(a,1),64(a,1,1))]. given #8980 (H,wt=29): 5078 L(L(x,y,K(z,u)),K(z,u) * y,K(u,z)) = y \ (K(u,z) * (K(z,u) * (y * x))). [para(5042(a,1),447(a,1,1)),flip(a)]. given #8981 (H,wt=21): 9937 L(L(x,y,K(z,u)),K(z,u) * y,K(u,z)) = y \ (y * x). [para(5042(a,1),5078(a,2,2))]. given #8982 (H,wt=20): 9938 L(L(x,y,K(z,u)),K(z,u) * y,K(u,z)) != w | w = x. [para(9937(a,2),284(a,1))]. given #8983 (H,wt=11): 9942 L(x,y,K(x,z)) != u | u = x. [para(7457(a,1),9938(a,1))]. given #8984 (H,wt=13): 9940 L(x,y,K(z \ 1,z)) != u | u = x. [para(3423(a,1),9938(a,1))]. given #8985 (H,wt=15): 9941 L(x,y,K(z \ u,u \ z)) != w | w = x. [para(3437(a,1),9938(a,1))]. given #8986 (H,wt=23): 9943 R(T(x,y * K(z \ 1,z)),y,K(z \ 1,z)) != u | T(x,y) = u. [para(2713(a,2),9940(a,1)),flip(b)]. given #8987 (H,wt=16): 9945 T(x,y * K(z \ 1,z)) != u | T(x,y) = u. [para(4301(a,1),9943(a,1))]. given #8988 (H,wt=14): 9946 T(x,y \ 1) != z | T(x,1 / y) = z. [para(725(a,1),9945(a,1,2))]. given #8989 (H,wt=18): 9947 T(x,y * (z \ 1)) != u | T(x,y * (1 / z)) = u. [para(2812(a,1),9945(a,1,2))]. given #8990 (H,wt=18): 9948 T(x,y * (1 / (1 / z))) != u | T(x,y * z) = u. [para(2922(a,1),9945(a,1,2))]. given #8991 (H,wt=16): 9953 T(x,y / (1 / z)) != u | T(x,y * z) = u. [para(5666(a,1),9948(a,1))]. given #8992 (H,wt=18): 9949 T(x,((y \ 1) \ 1) \ z) != u | T(x,y \ z) = u. [para(3014(a,1),9945(a,1,2))]. given #8993 (H,wt=18): 9950 T(x,(y \ 1) * z) != u | T(x,(1 / y) * z) = u. [para(3027(a,1),9945(a,1,2))]. given #8994 (H,wt=20): 9951 T(x,y * K(z,y)) != u | T(x,(y \ 1) \ K(z,y)) = u. [para(3051(a,1),9945(a,1,2))]. given #8995 (H,wt=23): 9954 T(x,R(y \ 1,y,z) \ u) != w | T(x,(z / (y * z)) \ u) = w. [para(3305(a,2),9949(a,1,2,1))]. given #8996 (H,wt=29): 5088 (x * y) \ ((x * (y * K(z,u))) * K(u,z)) != w | a(x,y * K(z,u),K(u,z)) = w. [para(5062(a,1),663(a,1,1,2))]. given #8997 (H,wt=29): 5175 K(x,y) * (z * R(T(K(y,x),z),u,w)) = (K(x,y) * R(K(x,y) \ 1,u,w)) * z. [para(5044(a,1),1534(a,1,2,2,1))]. given #8998 (H,wt=27): 9955 (K(x,y) * R(K(x,y) \ 1,z,u)) * w = K(x,y) * (R(K(y,x),z,u) * w). [para(184(a,1),5175(a,1,2)),flip(a)]. given #8999 (H,wt=25): 9956 (K(x,y) * R(K(y,x),z,u)) * w = K(x,y) * (R(K(y,x),z,u) * w). [para(4879(a,1),9955(a,1,1,2,1))]. given #9000 (H,wt=29): 5176 K(x,y) * (z * L(T(K(y,x),z),u,w)) = (K(x,y) * L(K(x,y) \ 1,u,w)) * z. [para(5044(a,1),1633(a,1,2,2,1))]. given #9001 (H,wt=27): 9957 (K(x,y) * L(K(x,y) \ 1,z,u)) * w = K(x,y) * (L(K(y,x),z,u) * w). [para(183(a,1),5176(a,1,2)),flip(a)]. given #9002 (H,wt=25): 9958 (K(x,y) * L(K(y,x),z,u)) * w = K(x,y) * (L(K(y,x),z,u) * w). [para(4879(a,1),9957(a,1,1,2,1))]. given #9003 (H,wt=21): 9959 K(x,y) * (L(K(y,x),z,u) * w) = a(u,z,K(x,y)) * w. [para(9676(a,1),9958(a,1,1)),flip(a)]. given #9004 (H,wt=21): 9960 K(x,y) * (a(z,u,K(y,x)) * w) = L(K(x,y),u,z) * w. [hyper(5071,a,9959,a)]. given #9005 (H,wt=21): 9961 L(K(x,y),z,u) * (K(y,x) * w) = a(u,z,K(y,x)) * w. [hyper(228,a,9885,a,b,9959,a(flip)),flip(a)]. given #9006 (H,wt=21): 9962 a(x,y,K(z,u)) * (L(K(z,u),y,x) * w) = K(z,u) * w. [para(6446(a,1),9959(a,1,2)),flip(a)]. given #9007 (H,wt=21): 9964 L(K(x,y),z,u) * (K(y,x) * w) = a(u,z,K(x,y)) \ w. [hyper(71,a,5042,a(flip),b,9962,a),flip(a)]. given #9008 (H,wt=17): 9965 a(x,y,K(z,u)) \ w = a(x,y,K(u,z)) * w. [hyper(228,a,9961,a(flip),b,9964,a(flip))]. given #9009 (H,wt=17): 9966 x / (a(y,z,K(u,w)) * x) = a(y,z,K(w,u)). [hyper(438,a,9965,a)]. given #9010 (H,wt=20): 9968 a(x,y,K(z,u)) \ w != v5 * w | a(x,y,K(u,z)) = v5. [para(9965(a,2),20(a,1))]. given #9011 (H,wt=20): 9969 x / (a(y,z,K(u,w)) * x) != v5 | a(y,z,K(w,u)) = v5. [para(9965(a,1),293(a,1,2)),flip(b)]. given #9012 (H,wt=21): 9967 a(x,y,K(z,u)) \ K(w,u) = K(w,u) * a(x,y,K(u,z)). [hyper(228,a,9678,a,b,9965,a)]. given #9013 (H,wt=24): 9963 K(x,y) * (L(K(y,x),z,u) * w) != v5 | a(u,z,K(x,y)) * w = v5. [para(9960(a,1),5046(a,1,2)),flip(b)]. given #9014 (H,wt=24): 9970 a(x,y,K(z,u)) \ K(w,u) != K(w,u) * v5 | a(x,y,K(u,z)) = v5. [para(9967(a,2),19(a,1))]. given #9015 (H,wt=24): 9971 L(K(x,y),z,u) * (K(y,x) * w) != v5 | a(u,z,K(y,x)) * w = v5. [para(9885(a,2),9963(a,1))]. given #9016 (H,wt=29): 5556 (x \ (((1 / y) * z) \ 1)) * ((1 / y) * z) = x \ K(((1 / y) * z) \ 1,y \ z). [para(5551(a,1),4362(a,1,2)),flip(a)]. given #9017 (H,wt=29): 6150 x \ (R(1 / y,y,x) * ((z * (y * x)) / z)) = K(z,1 / (x \ R(1 / y,y,x))). [para(365(a,1),5021(a,1,2,2,1,2))]. given #9018 (H,wt=29): 6294 T((1 / x) * K(y * R(1 / x,x,z),1 / x),y) = R(1 / x,y,z / (x * z)). [para(162(a,1),5398(a,2,3))]. given #9019 (H,wt=27): 9974 T(K(x * R(1 / y,y,z),y \ 1) / y,x) = R(1 / y,x,z / (y * z)). [para(3250(a,1),6294(a,1,1))]. given #9020 (H,wt=27): 9975 T(K(x * R(y \ 1,y,z),y \ 1) / y,x) = R(1 / y,x,z / (y * z)). [para(5528(a,1),9974(a,1,1,1))]. given #9021 (H,wt=29): 6368 (K(x,y) \ (z * u)) \ (K(x,y) \ (z * (u * w))) = L(L(w,u,z),z * u,K(y,x)). [para(100(a,1),6290(a,1,2,2))]. given #9022 (H,wt=29): 6454 ((x * (K(y \ x,x) * (y \ 1))) / x) / (y \ 1) = y * (T(x * (y \ 1),x) / x). [para(6453(a,1),1704(a,2,2,1))]. given #9023 (H,wt=25): 9976 (T(x * (y \ 1),x) / x) / (y \ 1) = y * (T(x * (y \ 1),x) / x). [para(6162(a,1),6454(a,1,1,1))]. given #9024 (H,wt=20): 9977 x * (T(y * (x \ 1),y) / y) = y \ R(y,x \ 1,y). [hyper(228,a,8675,a(flip),b,9976,a(flip))]. given #9025 (H,wt=18): 9979 x * (T(y * (x \ 1),y) / y) = a(y,x \ 1,y). [hyper(228,a,8875,a(flip),b,9977,a)]. given #9026 (H,wt=20): 9978 (x \ R(x,y \ 1,x)) / (T(x * (y \ 1),x) / x) = y. [hyper(72,a,8675,a(flip),b,9976,a(flip))]. given #9027 (H,wt=21): 9981 x * (T(y * (x \ 1),y) / y) != z | a(y,x \ 1,y) = z. [para(9977(a,2),8888(a,1))]. given #9028 (H,wt=23): 9980 (x \ R(x,y \ 1,x)) / (T(x * (y \ 1),x) / x) != z | z = y. [para(9977(a,1),295(a,1,1))]. given #9029 (H,wt=29): 6777 K(x,y * ((((K(z,u) / z) \ 1) * u) * w)) = K(x,y * ((u * (1 / (1 / z))) * w)). [para(5825(a,1),6776(a,1,2,2,1)),flip(a)]. given #9030 (H,wt=27): 9982 K(x,y * (((z * K(u,z)) * u) * w)) = K(x,y * ((u * (1 / (1 / z))) * w)). [para(4896(a,1),6777(a,1,2,2,1,1))]. given #9031 (H,wt=23): 9983 K(x,y * ((z * (1 / (1 / u))) * w)) = K(x,y * ((z * u) * w)). [para(4715(a,1),9982(a,1,2,2,1)),flip(a)]. given #9032 (H,wt=29): 6799 T(x,x \ y) \ R(T(x,x \ y),z,u) = x \ (y \ ((R(x,z,u) * (x \ y)) * x)). [hyper(71,a,4741,a(flip),b,4680,a),flip(a)]. given #9033 (H,wt=29): 6973 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(6972(a,1),20(a,1))]. given #9034 (H,wt=18): 9985 x * T(K(y,z),u) != w | w * T(K(z,y),u) = x. [para(8863(a,1),6973(a,1)),flip(a)]. given #9035 (H,wt=29): 7647 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(7357(a,1),5830(a,1,1,1,2)),flip(a)]. given #9036 (H,wt=22): 9986 K(L(x,y,z),u \ L(K(x,w),v5,v6)) = K(L(x,y,z),u \ 1). [hyper(228,a,5830,a(flip),b,7647,a)]. given #9037 (H,wt=25): 9987 K(L(x,y,z),u \ L(K(x,w),v5,v6)) != v7 | K(L(x,y,z),u \ 1) = v7. [para(7647(a,2),6351(a,1))]. given #9038 (H,wt=29): 7656 K(R(x * K(y,x),y,z),T(u,y * z)) != w | K((y * z) \ ((y * x) * z),u) = w. [para(4833(a,2),7646(a,1,1))]. given #9039 (H,wt=29): 8196 K(T(x,y \ x) / y,z \ x) * (x / y) = T(T(T(x,y \ x) / y,x),x / z). [para(3768(a,1),7324(a,1,2))]. given #9040 (H,wt=25): 9988 T(T(T(x,y \ x) / y,x),x / z) = K(y \ x,z \ x) * (x / y). [para(8545(a,1),8196(a,1,1)),flip(a)]. given #9041 (H,wt=23): 9989 T(T(T(x,y \ x) / y,x),x / z) = T(x / y,T(z \ x,y)). [hyper(228,a,7333,a(flip),b,9988,a)]. given #9042 (H,wt=17): 9990 T(x / y,T(z \ x,y)) = T(x / y,x / z). [para(3768(a,1),9989(a,1,1)),flip(a)]. given #9043 (H,wt=21): 9991 T(x / y,T(z \ (y \ x),y)) = T(x / y,x / (y * z)). [hyper(9562,a,9990,a)]. given #9044 (H,wt=29): 8554 T(T(x,K(y,z \ u)),(((z \ 1) \ 1) \ u) \ y) = T(x,y / (((z \ 1) \ 1) \ u)). [para(5382(a,1),8553(a,1,1,2))]. given #9045 (H,wt=25): 9992 T(T(x,K(y,z \ u)),(z \ u) \ y) = T(x,y / (((z \ 1) \ 1) \ u)). [hyper(228,a,4429,a(flip),b,8554,a(flip)),flip(a)]. given #9046 (H,wt=19): 9993 T(x,y / (((z \ 1) \ 1) \ u)) = T(x,y / (z \ u)). [hyper(228,a,8553,a(flip),b,9992,a(flip))]. given #9047 (H,wt=29): 8594 T(R(K(x,y),z,u),w) * w != R(K(x,y),z,u) * v5 | T(w,R(K(x,y),z,u)) = v5. [para(8475(a,2),172(a,2)),flip(a)]. given #9048 (H,wt=29): 8688 (x * T(y,z)) \ (x * R(y,z,L(y,u,w))) = L(K(z * L(y,u,w),y),T(y,z),x). [para(8525(a,1),28(a,2,2,2)),flip(a)]. given #9049 (H,wt=24): 9994 (x * T(y,z)) \ (x * R(y,z,L(y,u,w))) = K(z * L(y,u,w),y). [hyper(228,a,7343,a(flip),b,8688,a)]. given #9050 (H,wt=29): 8727 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(8725(a,1),6666(a,1,1))]. given #9051 (H,wt=27): 9996 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(5008,a,8727,a)]. given #9052 (H,wt=29): 8782 T(x * K(L(y \ 1,z,u) \ 1,w),K(w,v5)) = T(x,K(w,v5)) * L(K(y,w),z,u). [para(6132(a,1),8776(a,2,2))]. given #9053 (H,wt=25): 9997 T(x * L(K(y,z),u,w),K(z,v5)) = T(x,K(z,v5)) * L(K(y,z),u,w). [para(6132(a,1),8782(a,1,1,2))]. given #9054 (H,wt=25): 9998 L(K(x,y),z,u) \ T(w,K(y,v5)) = T(L(K(x,y),z,u) \ w,K(y,v5)). [hyper(4492,a,9997,a)]. given #9055 (H,wt=25): 9999 L(K(x,y),z,u) \ T(w,K(y,v5)) = T(L(K(y,x),z,u) * w,K(y,v5)). [para(6445(a,1),9998(a,2,1))]. given #9056 (H,wt=25): 10000 T(L(K(x,y),z,u) * w,K(x,v5)) = L(K(x,y),z,u) * T(w,K(x,v5)). [hyper(6449,a,9999,a),flip(a)]. given #9057 (H,wt=29): 8853 K(x,L(y,z * K(y,u),w)) = T(v5 * K(L(y,z,w),x),K(x,v6)) \ T(v5,K(x,v6)). [para(8852(a,1),8779(a,1,1,1,2)),flip(a)]. given #9058 (H,wt=17): 10002 K(x,L(y,z * K(y,u),w)) = K(x,L(y,z,w)). [hyper(228,a,8779,a(flip),b,8853,a)]. given #9059 (H,wt=17): 10003 K(x,L(y,K(y,z) * u,w)) = K(x,L(y,u,w)). [para(7174(a,1),10002(a,1,2,2))]. given #9060 (H,wt=17): 10004 L(K(x,y),T(y,z) * u,w) = K(x,L(y,u,w)). [hyper(228,a,8952,a,b,10003,a(flip)),flip(a)]. given #9061 (H,wt=23): 10006 L(K(x,L(y,x,z)),T(y,u) * w,v5) = K(L(x,y,z),L(y,w,v5)). [para(8841(a,1),10004(a,1,1))]. given #9062 (H,wt=29): 9032 K(x,y) * ((y * R(x,z,R(x,u,w))) * x) = (y * R(T(x,y),z,R(x,u,w))) * x. [para(8980(a,1),7046(a,1,1,2)),flip(a)]. given #9063 (H,wt=27): 10007 K(x,y) * ((y * R(x,z,R(x,u,w))) * x) = (R(x,z,R(x,u,w)) * y) * x. [para(184(a,1),9032(a,2,1))]. given #9064 (H,wt=23): 10008 (R(x,y,R(x,z,u)) * w) * x = (x * w) * R(x,y,R(x,z,u)). [hyper(228,a,8978,a(flip),b,10007,a(flip))]. given #9065 (H,wt=29): 9077 (x * (y * L(x,z,u))) \ ((y * L(x,z,u)) * T(x,y)) = x \ R(x,y,L(x,z,u)). [hyper(228,a,8866,a,b,8687,a(flip)),flip(a)]. given #9066 (H,wt=27): 10009 (x * (y * L(x,z,u))) \ ((x * y) * L(x,z,u)) = x \ R(x,y,L(x,z,u)). [para(1695(a,1),9077(a,1,2))]. given #9067 (H,wt=17): 10010 x \ R(x,y,L(x,z,u)) = a(x,y,L(x,z,u)). [hyper(663,a,10009,a),flip(a)]. given #9068 (H,wt=20): 10011 K(x * L(y,z,u),y) * K(y,x) = a(y,x,L(y,z,u)). [hyper(9078,a,10010,a)]. given #9069 (H,wt=20): 10012 K(x,y) * K(y * L(x,z,u),x) = a(x,y,L(x,z,u)). [hyper(8689,a,10010,a)]. given #9070 (H,wt=20): 10014 K(L(x,y,z) * u,x) * K(x,u) = a(x,u,L(x,y,z)). [para(7396(a,2),10011(a,1,1))]. given #9071 (H,wt=17): 10016 L(x,y,L(x,z,u)) \ x = a(x,y,L(x,z,u)). [hyper(228,a,9447,a(flip),b,10014,a(flip)),flip(a)]. given #9072 (H,wt=20): 10015 K(x,y) * a(y,x,L(y,z,u)) = K(x * L(y,z,u),y). [hyper(5071,a,10012,a)]. given #9073 (H,wt=22): 10013 K(x,y) * K(y,x * L(y,z,u)) = a(y,x,L(y,z,u)) \ 1. [para(10011(a,1),5126(a,1,1)),flip(a)]. given #9074 (H,wt=23): 10018 K(x * L(y,z,u),y) != K(x,y) * w | a(y,x,L(y,z,u)) = w. [para(10015(a,1),19(a,1))]. given #9075 (H,wt=29): 9399 ((1 / x) * y) * T(((1 / x) * y) \ (K(z,u) * y),z) = K(z,u) * (K(x,z) * y). [para(5368(a,1),9383(a,1,2)),flip(a)]. given #9076 (H,wt=25): 10019 ((1 / x) * T((1 / x) \ K(y,z),y)) * u = K(y,z) * (K(x,y) * u). [hyper(228,a,1416,a(flip),b,9399,a(flip)),flip(a)]. given #9077 (H,wt=23): 10020 (K(x,y) * K((1 / z) \ 1,x)) * u = K(x,y) * (K(z,x) * u). [para(7356(a,2),10019(a,1,1))]. given #9078 (H,wt=19): 10021 (K(x,y) * K(z,x)) * u = K(x,y) * (K(z,x) * u). [para(64(a,1),10020(a,1,1,2,1))]. given #9079 (H,wt=10): 10022 L(x,K(y,z),K(z,u)) = x. [hyper(445,a,10021,a)]. given #9080 (H,wt=12): 10031 L(x,K(y,T(z,u)),K(z,w)) = x. [para(7202(a,1),10022(a,1,2))]. given #9081 (H,wt=12): 10032 L(x,K(y,z),K(u,K(z,w))) = x. [para(7723(a,1),10022(a,1,3))]. given #9082 (H,wt=13): 10030 L(x,L(K(y,z),u,w),K(z,v5)) = x. [para(6128(a,1),10022(a,1,2))]. given #9083 (H,wt=18): 10028 L(T(x / (x / y),y \ x),K(z,u),K(u,w)) = y. [hyper(228,a,3909,a(flip),b,10022,a)]. given #9084 (H,wt=18): 10036 T(x,R(y / (y / z),u,z)) = T(x,y / (y / z)). [para(10028(a,1),8734(a,1,2,3))]. given #9085 (H,wt=19): 10023 (K(x,y) * K(z,x)) * u = K(z,x) * (K(x,y) * u). [hyper(228,a,9861,a(flip),b,10021,a)]. given #9086 (H,wt=19): 10026 (K(x,y) * K(y,z)) * u = K(y,z) * (K(x,y) * u). [para(1757(a,1),10021(a,1,1))]. given #9087 (H,wt=19): 10029 (K(x,y) * K(z,x)) \ u = K(x,z) * (K(y,x) * u). [hyper(228,a,6292,a(flip),b,10022,a(flip)),flip(a)]. given #9088 (H,wt=19): 10037 (K(x,y) * K(y,z)) * u = K(x,y) * (K(y,z) * u). [para(1757(a,1),10023(a,1,1))]. given #9089 (H,wt=10): 10042 L(x,K(y,z),K(u,y)) = x. [hyper(445,a,10037,a)]. given #9090 (H,wt=12): 10041 R(K(x,y),K(y,z),u) = K(x,y). [hyper(4535,a,10037,a)]. given #9091 (H,wt=19): 10039 (K(x,y) * z) / (K(u,y) * z) = K(x,y) * K(y,u). [hyper(72,a,9862,a(flip),b,10026,a)]. given #9092 (H,wt=19): 10040 (K(x,y) * K(y,z)) \ u = K(y,x) * (K(z,y) * u). [para(1757(a,1),10029(a,1,1))]. given #9093 (H,wt=19): 10043 (K(x,y) * z) / (K(x,u) * z) = K(u,x) * K(x,y). [hyper(72,a,9863,a(flip),b,10037,a)]. given #9094 (H,wt=20): 10046 K(x,y) * (K(y,x * y) * z) = (y \ L(y,x,y)) * z. [para(5777(a,1),10037(a,1,1)),flip(a)]. given #9095 (H,wt=15): 10051 (x \ L(x,y,x)) * z = a(x,y,x) \ z. [hyper(228,a,9489,a(flip),b,10046,a(flip))]. given #9096 (H,wt=15): 10052 (x \ L(x,y,x)) \ z = a(x,y,x) * z. [hyper(71,a,13,a(flip),b,10051,a)]. given #9097 (H,wt=15): 10053 (x \ L(x,y,x)) \ z = z * a(x,y,x). [hyper(228,a,9764,a(flip),b,10052,a)]. given #9098 (H,wt=23): 10033 (K(x,y) * K(z,T(x,u))) * w = K(x,y) * (K(z,T(x,u)) * w). [para(10031(a,1),100(a,1,2))]. given #9099 (H,wt=23): 10034 (K(x,K(y,z)) * K(u,y)) * w = K(x,K(y,z)) * (K(u,y) * w). [para(10032(a,1),100(a,1,2))]. given #9100 (H,wt=23): 10049 (K(x,T(y,z)) * K(y,u)) \ w = K(y,T(x,z)) * (K(u,y) * w). [para(7202(a,1),10040(a,1,1,1))]. given #9101 (H,wt=24): 10024 x \ (K(y,z) * (K(u,y) * x)) != w | T(K(y,z) * K(u,y),x) = w. [para(10021(a,1),285(a,1,2))]. given #9102 (H,wt=24): 10027 (K(x,y) * z) / (K(y,u) * (K(x,y) * z)) = R(K(u,y),K(x,y),z). [para(10021(a,1),6914(a,1,2))]. given #9103 (H,wt=12): 10056 R(K(x,y),K(z,y),u) = K(x,y). [hyper(5047,a,10027,a),flip(a)]. given #9104 (H,wt=24): 10044 x \ (K(y,z) * (K(z,u) * x)) != w | T(K(y,z) * K(z,u),x) = w. [para(10037(a,1),285(a,1,2))]. given #9105 (H,wt=24): 10055 T(K(x,y),z) * T(K(y,u),z) != w | T(K(y,u) * K(x,y),z) = w. [para(9748(a,1),10024(a,1))]. given #9106 (H,wt=25): 10035 (K(x,y) * L(K(z,x),u,w)) * v5 = K(x,y) * (L(K(z,x),u,w) * v5). [para(10030(a,1),100(a,1,2))]. given #9107 (H,wt=25): 10048 (x * K(y,z)) / (K(u,T(z,x)) * x) = K(y,T(z,x)) * K(T(z,x),u). [para(7823(a,1),10039(a,1,1))]. given #9108 (H,wt=23): 10059 (x * K(y,z)) / (x * K(u,z)) = K(y,T(z,x)) * K(T(z,x),u). [para(7823(a,1),10048(a,1,2))]. given #9109 (H,wt=23): 10060 (x * K(y,z)) / (x * K(u,z)) = K(y,T(z,x)) * K(z,T(u,x)). [hyper(8310,a,10059,a(flip)),flip(a)]. given #9110 (H,wt=25): 10050 x / (K(y \ x,z) * (y * (x / y))) = K(z,y \ x) * K(y \ x,y). [para(4624(a,1),10043(a,1,1))]. given #9111 (H,wt=27): 10038 K(x,y) * (K(z,x) * K(K(z,x) * K(x,y),u)) = T(K(z,x) * K(x,y),u). [hyper(4708,a,10026,a),flip(a)]. given #9112 (H,wt=23): 10062 T(K(x,y) * K(z,x),T(u,K(x,y))) = T(K(z,x) * K(x,y),u). [hyper(228,a,9889,a(flip),b,10038,a(flip)),flip(a)]. given #9113 (H,wt=27): 10058 (K(x,y) * L(K(x,z) \ 1,u,w)) * v5 = K(x,y) * (L(K(z,x),u,w) * v5). [para(4879(a,2),10035(a,1,1,2,1))]. given #9114 (H,wt=29): 9436 (x * (y * R(x,z,u))) \ ((y * R(x,z,u)) * T(x,y)) = x \ R(x,y,R(x,z,u)). [hyper(228,a,8862,a,b,9435,a(flip)),flip(a)]. given #9115 (H,wt=27): 10064 (x * (y * R(x,z,u))) \ ((x * y) * R(x,z,u)) = x \ R(x,y,R(x,z,u)). [para(1674(a,1),9436(a,1,2))]. given #9116 (H,wt=17): 10065 x \ R(x,y,R(x,z,u)) = a(x,y,R(x,z,u)). [hyper(663,a,10064,a),flip(a)]. given #9117 (H,wt=17): 10069 x * a(x,y,R(x,z,u)) = R(x,y,R(x,z,u)). [para(10065(a,1),14(a,1,2))]. given #9118 (H,wt=19): 10070 R(x,y,R(x,z,u)) \ x = a(x,y,R(x,z,u)) \ 1. [para(10065(a,1),3522(a,1,1)),flip(a)]. given #9119 (H,wt=20): 10066 x \ R(x,y,R(x,z,u)) != w | a(x,y,R(x,z,u)) = w. [para(10064(a,1),663(a,1))]. given #9120 (H,wt=20): 10067 K(x * R(y,z,u),y) * K(y,x) = a(y,x,R(y,z,u)). [hyper(228,a,9435,a,b,10065,a(flip)),flip(a)]. given #9121 (H,wt=20): 10076 a(x,y,R(x,z,u)) * K(x,y * R(x,z,u)) = K(x,y). [para(10067(a,1),5082(a,1,1))]. given #9122 (H,wt=23): 10068 a(T(x,y),z,R(T(x,y),u,w)) = x \ R(x,z,R(T(x,y),u,w)). [hyper(228,a,9996,a(flip),b,10065,a(flip))]. given #9123 (H,wt=23): 10071 x \ R(T(x,y),z,R(x,u,w)) = K(x,y) * a(x,z,R(x,u,w)). [para(10065(a,1),8722(a,1,2)),flip(a)]. given #9124 (H,wt=21): 10080 T(x,y) \ R(T(x,y),z,R(x,u,w)) = a(x,z,R(x,u,w)). [hyper(5149,a,10071,a)]. given #9125 (H,wt=21): 10081 T(x,y) * a(x,z,R(x,u,w)) = R(T(x,y),z,R(x,u,w)). [para(10080(a,1),14(a,1,2))]. given #9126 (H,wt=23): 10074 K(x * R(y,z,u),y) * K(y,x) != w | a(y,x,R(y,z,u)) = w. [para(9435(a,2),10066(a,1))]. given #9127 (H,wt=24): 10082 T(x,y) \ R(T(x,y),z,R(x,u,w)) != v5 | a(x,z,R(x,u,w)) = v5. [para(10081(a,1),284(a,1,2)),flip(b)]. given #9128 (H,wt=25): 10079 a(x,y / R(x,z,u),R(x,z,u)) * K(x,y) = K(x,y / R(x,z,u)). [para(16(a,1),10076(a,1,2,2))]. given #9129 (H,wt=26): 10075 x \ R(x,y,R(T(x,z),u,w)) != v5 | a(T(x,z),y,R(T(x,z),u,w)) = v5. [para(9996(a,1),10066(a,1))]. given #9130 (H,wt=28): 10078 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(10067(a,1),8468(a,1,1)),flip(a)]. given #9131 (H,wt=28): 10083 ((x \ y) \ y) \ R((x \ y) \ y,z,R(x,u,w)) != v5 | a(x,z,R(x,u,w)) = v5. [para(1046(a,1),10082(a,1))]. given #9132 (H,wt=29): 9696 K(a(x,y,z),u) * a(x * y,z,K(L(z,y,x) \ z,u)) = K(L(z,y,x) \ z,u). [para(6335(a,1),9692(a,1,1))]. given #9133 (H,wt=29): 9858 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(4674(a,1),9857(a,1,1,2)),flip(a)]. given #9134 (H,wt=23): 10084 R(a(x,y * K(z,y),x),y * K(z,y),z) = L(a(x,y,x),y,z). [para(4674(a,1),9858(a,2,2))]. given #9135 (H,wt=29): 9944 R(T(x,y / (1 / z)),y / (z \ 1),K(z \ 1,z)) != u | T(x,y / (z \ 1)) = u. [para(2826(a,1),9943(a,1,1,2))]. given #9136 (H,wt=29): 9972 (x \ (((1 / y) * z) \ 1)) * ((1 / y) * z) = x \ K(z \ ((1 / y) \ 1),y \ z). [para(118(a,1),5556(a,2,2,1))]. given #9137 (H,wt=25): 10085 (x \ (((1 / y) * z) \ 1)) * ((1 / y) * z) = x \ K(z \ y,y \ z). [para(64(a,1),9972(a,2,2,1,2))]. given #9138 (H,wt=25): 10086 (x \ (y \ ((1 / z) \ 1))) * ((1 / z) * y) = x \ K(y \ z,z \ y). [para(118(a,1),10085(a,1,1,2))]. given #9139 (H,wt=21): 10087 (x \ (y \ z)) * ((1 / z) * y) = x \ K(y \ z,z \ y). [para(64(a,1),10086(a,1,1,2,2))]. given #9140 (H,wt=29): 9984 ((x \ y) \ y) \ R((x \ y) \ y,z,u) = x \ (y \ ((R(x,z,u) * (x \ y)) * x)). [hyper(228,a,1046,a(flip),b,6799,a(flip)),flip(a)]. given #9141 (H,wt=29): 10072 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(9894(a,2),10065(a,1,2))]. given #9142 (H,wt=25): 10089 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(10066,a,10072,a)]. given #9143 (H,wt=29): 10073 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(4222(a,1),10070(a,2,1))]. given #9144 (H,wt=27): 10090 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(9894(a,1),10073(a,1,1))]. given #9145 (H,wt=30): 6070 T(x,T(1 / y,z) \ x) * K(T(y \ 1,z) \ 1,x) = L(x,T(1 / y,z) \ 1,x). [para(2859(a,1),5322(a,1,2))]. given #9146 (H,wt=30): 6391 K((x \ (y * z)) \ 1,L((y \ x) \ z,u,w)) = K(((y \ x) \ z) \ 1,(y \ x) \ z). [para(458(a,1),6389(a,1,1,1))]. given #9147 (H,wt=27): 10092 K(((x \ y) \ z) \ 1,(x \ y) \ z) = K((y \ (x * z)) \ 1,y \ (x * z)). [para(458(a,1),6391(a,1,2)),flip(a)]. given #9148 (H,wt=25): 10093 K(((x \ y) \ z) \ 1,(x \ y) \ z) = K((x * z) \ y,y \ (x * z)). [hyper(228,a,5601,a(flip),b,10092,a)]. given #9149 (H,wt=23): 10094 K((x * y) \ z,z \ (x * y)) = K(y \ (x \ z),(x \ z) \ y). [hyper(5782,a,10093,a),flip(a)]. given #9150 (H,wt=25): 10096 K(x \ (y \ z),(y \ z) \ x) / (y * x) = ((y * x) \ z) * (1 / z). [hyper(72,a,10094,a(flip),b,6853,a)]. given #9151 (H,wt=29): 10095 K((x \ 1) \ (y \ z),(y \ z) \ (x \ 1)) = K((x / y) * z,z \ (y * (x \ 1))). [hyper(228,a,5638,a(flip),b,10094,a(flip))]. given #9152 (H,wt=27): 10098 K((x / y) * z,z \ (y * (x \ 1))) = K(x * (y \ z),(y \ z) \ (x \ 1)). [hyper(228,a,5637,a(flip),b,10095,a(flip))]. given #9153 (H,wt=30): 6539 K(x,(a(K(y,z),u,w) \ ((u * w) \ K(z,y))) * v5) = K(x,((K(y,z) * u) * w) \ v5). [para(89(a,1),5935(a,1,2,1)),flip(a)]. given #9154 (H,wt=30): 6661 L(K(x,K(y,z \ 1) * (u \ w)),u \ w,u) = K(x,(K(z \ K(z,u),y) * u) \ w). [para(6423(a,2),6370(a,2,2,1))]. given #9155 (H,wt=30): 6662 L(K(x,K(y \ 1,z) * (u \ w)),u \ w,u) = K(x,(K(z,y \ K(y,u)) * u) \ w). [para(6460(a,2),6370(a,2,2,1))]. given #9156 (H,wt=30): 6696 R(K(x,(y / z) / (u * x)),y / z,z) = ((u * (x * ((u \ (y / z)) / x))) * z) / y. [para(6694(a,1),497(a,1,1))]. given #9157 (H,wt=25): 10100 ((x * (y * ((x \ (z / u)) / y))) * u) / z = K(y,z / ((x * y) * u)). [hyper(228,a,6937,a(flip),b,6696,a(flip))]. given #9158 (H,wt=30): 6769 (x * y) * (z \ T(z * L(y \ (z \ 1),y,x),u)) = (x * K(y \ 1,u)) * (z \ 1). [para(868(a,1),4969(a,1,2))]. given #9159 (H,wt=30): 7890 (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = R(x,K(T(y,z),u),z * K(u,y)) * z. [para(7823(a,1),5077(a,1,1,3)),flip(a)]. given #9160 (H,wt=30): 8013 T(K(x,y) * z,K(y,x) * (z * K(x,y))) = L(z * K(x,y),K(y,x),z * K(x,y)). [para(7790(a,1),5983(a,1,1))]. given #9161 (H,wt=26): 10103 L(x * K(y,z),K(z,y),x * K(y,z)) = T(K(y,z) * x,T(x,K(y,z))). [para(5041(a,1),8013(a,1,2)),flip(a)]. given #9162 (H,wt=22): 10104 L(x * K(y,z),K(z,y),x * K(y,z)) = T(K(y,z) * x,x). [hyper(228,a,3981,a(flip),b,10103,a)]. given #9163 (H,wt=30): 8654 L(T(x,y \ ((x \ z) \ u)),w,v5) \ L(x,w,v5) = K(y \ ((z / x) \ u),L(x,w,v5)). [para(8638(a,1),4656(a,1,1,1))]. given #9164 (H,wt=28): 10105 K(x \ ((y / z) \ u),L(z,w,v5)) != v6 | K(x \ ((z \ y) \ u),L(z,w,v5)) = v6. [para(8654(a,1),4925(a,1))]. given #9165 (H,wt=30): 8912 R(T(x,T(x * y,x)),y * x,a(x,y,x)) = ((y * x) * a(x,y,x)) \ ((x * y) * x). [para(8910(a,1),881(a,1,1,2))]. given #9166 (H,wt=28): 10106 ((x * y) * a(y,x,y)) \ ((y * x) * y) = R(T(y,y * x),x * y,a(y,x,y)). [para(3921(a,1),8912(a,1,1)),flip(a)]. given #9167 (H,wt=30): 8924 T(L(x,K(y,z),K(z,u)) * K(y,z),K(z,u)) = K(y,z) * T(x,K(z,u) * K(y,z)). [hyper(171,a,8858,a,b,584,a)]. given #9168 (H,wt=23): 10107 K(x,y) * T(z,K(y,u) * K(x,y)) = T(z * K(x,y),K(y,u)). [para(10022(a,1),8924(a,1,1,1)),flip(a)]. given #9169 (H,wt=23): 10108 K(x,y) * T(z,K(x,y) * K(y,u)) = T(z * K(x,y),K(y,u)). [para(1757(a,1),10107(a,1,2,2))]. given #9170 (H,wt=29): 10109 T((K(x,y) \ z) * K(x,y),K(y,u)) \ z = K(K(x,y) * K(y,u),K(x,y) \ z). [para(10108(a,1),5155(a,1,1))]. given #9171 (H,wt=25): 10110 K(K(x,y) * K(y,z),K(x,y) \ u) = T(T(u,K(x,y)),K(y,z)) \ u. [para(6003(a,1),10109(a,1,1,1)),flip(a)]. given #9172 (H,wt=30): 8962 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(228,a,8250,a(flip),b,8274,a)]. given #9173 (H,wt=30): 9031 K(x,K(y \ (1 / z),L(y / u,u,z))) = K(x,K(y / u,(z * y) \ K(z,1 / z))). [para(467(a,1),8959(a,1,2,2)),flip(a)]. given #9174 (H,wt=30): 9186 R(K(x,y \ R(y,z,u)),R(y,z,u),z * u) = K(x,((y * z) * u) / (y * (z * u))). [para(3520(a,1),9183(a,2,2))]. given #9175 (H,wt=30): 9354 L(x \ 1,T(K(x,y),z),z) * (K(x,y) * z) = z * (T(K(x,y),z) * T(x \ 1,z)). [para(9346(a,1),854(a,1,2,2)),flip(a)]. given #9176 (H,wt=30): 9390 L(K(x,y),z,u) \ L(T(K(x,y),w \ v5),z,u) = K(L(K(x,y),z,u),w \ (v5 / x)). [para(9389(a,1),4706(a,1,2,1))]. given #9177 (H,wt=23): 10113 K(L(K(x,y),z,u),w \ (v5 / x)) = K(L(K(x,y),z,u),w \ v5). [hyper(4930,a,9390,a),flip(a)]. given #9178 (H,wt=23): 10114 K(L(K(x,y),z,u),w \ (v5 / x)) = K(y,K(w \ v5,L(x,z,u))). [hyper(228,a,8511,a(flip),b,10113,a)]. given #9179 (H,wt=23): 10115 K(x,K(y \ (z / u),L(u,w,v5))) = K(x,K(y \ z,L(u,w,v5))). [hyper(8522,a,10114,a)]. given #9180 (H,wt=23): 10116 K(x,K(y \ (z \ u),L(z,w,v5))) = K(x,K(y \ u,L(z,w,v5))). [para(9501(a,1),10115(a,1,2))]. given #9181 (H,wt=24): 10117 K(x,K(y \ (z \ u),L(w,y,z))) = K(x,K(w,(z * (y * w)) \ u)). [hyper(228,a,9897,a(flip),b,10116,a(flip))]. given #9182 (H,wt=21): 10118 K(x,K(y,(z * (u * y)) \ w)) = K(y,K(x,(z * u) \ w)). [hyper(228,a,8518,a(flip),b,10117,a(flip))]. given #9183 (H,wt=21): 10119 K(x,K(y,(z * (u * x)) \ w)) = K(x,K(y,(z * u) \ w)). [hyper(7725,a,10118,a)]. given #9184 (H,wt=24): 10120 K(x,K(y,a(z,x,T(u,x)))) = K(x,K(y,(z * u) \ ((z * x) * u))). [hyper(228,a,9728,a(flip),b,10119,a(flip)),flip(a)]. given #9185 (H,wt=12): 10121 K(x,K(y,a(z,x,T(u,x)))) = 1. [hyper(228,a,9423,a(flip),b,10120,a)]. given #9186 (H,wt=10): 10123 K(x,K(y,a(z,x,u))) = 1. [para(165(a,1),10121(a,1,2,2,3))]. given #9187 (H,wt=15): 10125 T(a(x,y,z),K(u,y)) = a(x,y,z) * 1. [para(10123(a,1),7697(a,1,2)),flip(a)]. given #9188 (H,wt=13): 10126 T(a(x,y,z),K(u,y)) = a(x,y,z). [hyper(228,a,12,a(flip),b,10125,a)]. given #9189 (H,wt=17): 10127 T(a(x,y \ z,u),K(y,z)) = a(x,y \ z,u). [hyper(8186,a,10126,a)]. given #9190 (H,wt=21): 10128 a(x,y \ z,u) * K(y,z) = K(y,z) * a(x,y \ z,u). [para(10127(a,1),113(a,1,2)),flip(a)]. given #9191 (H,wt=30): 9397 L(T(x,(y * z) \ (x \ u)),w,v5) \ L(x,w,v5) = K((y * (z * x)) \ u,L(x,w,v5)). [para(9396(a,1),4656(a,1,1,1))]. given #9192 (H,wt=28): 10129 K((x * (y * z)) \ u,L(z,w,v5)) != v6 | K((x * y) \ (z \ u),L(z,w,v5)) = v6. [para(9397(a,1),4925(a,1))]. given #9193 (H,wt=30): 9528 K(x,R(x,y,z) \ ((x * R(T(x,u),y,z)) / w)) = K(x,T(w \ x,R(T(x,u),y,z))). [hyper(228,a,8713,a(flip),b,9527,a(flip)),flip(a)]. given #9194 (H,wt=26): 10130 K(x,R(x,y,z) \ ((x * R(T(x,u),y,z)) / w)) != v5 | K(x,w \ x) = v5. [para(9528(a,2),7966(a,1))]. given #9195 (H,wt=30): 9741 K(x,K((1 / (y \ z)) / u,R(u / y,y,y \ z))) = K(x,K(z,(1 / (y \ z)) / u)). [para(496(a,2),9740(a,1,2,2))]. given #9196 (H,wt=30): 9782 (x * a(y,z,y)) \ (a(y,z,y) * (u * x)) = R(T(u,x * a(y,z,y)),x,a(y,z,y)). [hyper(71,a,9764,a,b,594,a)]. given #9197 (H,wt=27): 10131 R(T(x,y * a(z,u,z)),y,a(z,u,z)) != w | L(T(x,y),y,a(z,u,z)) = w. [para(9782(a,1),9786(a,1))]. given #9198 (H,wt=30): 10077 K(x * R(y,z,u),y) * K(y,T(x,R(y,w,v5))) = a(y,T(x,R(y,w,v5)),R(y,z,u)). [para(7404(a,1),10067(a,1,1))]. given #9199 (H,wt=25): 10132 a(x,T(y,R(x,z,u)),R(x,w,v5)) = K(y * R(x,w,v5),x) * K(x,y). [para(7221(a,1),10077(a,1,2)),flip(a)]. given #9200 (H,wt=20): 10133 a(x,T(y,R(x,z,u)),R(x,w,v5)) = a(x,y,R(x,w,v5)). [hyper(228,a,10067,a(flip),b,10132,a)]. given #9201 (H,wt=17): 10136 a(x,T(y,x),R(x,z,u)) = a(x,y,R(x,z,u)). [para(340(a,1),10133(a,1,2,2))]. given #9202 (H,wt=25): 10135 a(x,y / R(x,z,u),R(x,w,v5)) = a(x,R(x,z,u) \ y,R(x,w,v5)). [para(115(a,1),10133(a,1,2)),flip(a)]. given #9203 (H,wt=25): 10137 a(x,R(x,y,z) \ u,R(x,y,z)) * K(x,u) = K(x,u / R(x,y,z)). [para(10135(a,1),10079(a,1,1))]. given #9204 (H,wt=25): 10138 a(x,R(x,y,z) \ u,R(x,y,z)) * K(x,u) = K(x,R(x,y,z) \ u). [hyper(228,a,7248,a(flip),b,10137,a)]. given #9205 (H,wt=30): 10091 T(x,T((1 / y) \ x,z)) * K(T(y \ 1,z) \ 1,x) = L(x,T(1 / y,z) \ 1,x). [para(8198(a,1),6070(a,1,1))]. given #9206 (H,wt=30): 10099 K(x,(a(K(y,z),u,w) \ ((u * w) \ K(z,y))) * v5) = K(x,(w \ (u \ K(z,y))) * v5). [hyper(228,a,5935,a(flip),b,6539,a)]. given #9207 (H,wt=30): 10101 (x * y) * L(z \ T(z * (y \ (z \ 1)),z),y,x) = (x * K(y \ 1,z)) * (z \ 1). [para(1629(a,2),6769(a,1,2))]. given #9208 (H,wt=27): 10140 x * (y * (z \ T(z * (y \ (z \ 1)),z))) = (x * K(y \ 1,z)) * (z \ 1). [hyper(218,a,10101,a)]. given #9209 (H,wt=23): 10141 (x * K(y \ 1,z)) * (z \ 1) = x * (K(y \ 1,z) * (z \ 1)). [para(6145(a,1),10140(a,1,2)),flip(a)]. given #9210 (H,wt=21): 10142 (x * K(y \ 1,z)) * (z \ 1) = x * (T(z,y \ 1) \ 1). [para(5004(a,1),10141(a,2,2))]. given #9211 (H,wt=21): 10143 (x * K(y,z)) * (z \ 1) = x * (T(z,(1 / y) \ 1) \ 1). [para(64(a,1),10142(a,1,1,2,1))]. given #9212 (H,wt=17): 10144 (x * K(y,z)) * (z \ 1) = x * (T(z,y) \ 1). [para(64(a,1),10143(a,2,2,1,2))]. given #9213 (H,wt=17): 10145 (x * (y \ 1)) \ (x * (T(y,z) \ 1)) = K(z,y). [hyper(71,a,10144,a(flip),b,6684,a(flip))]. given #9214 (H,wt=12): 10151 L(K(x,y),y \ 1,z) = K(x,y). [hyper(4973,a,10145,a)]. given #9215 (H,wt=10): 10153 a(x,y \ 1,K(y,z)) = 1. [hyper(70,a,10151,a(flip),b,9681,a),flip(a)]. given #9216 (H,wt=12): 10154 L(K(x,y),x \ 1,z) = K(x,y). [hyper(33,a,10153,a)]. given #9217 (H,wt=16): 10155 K(x,L(y,x \ 1,z) \ 1) = K(x,y \ 1). [hyper(6709,a,10154,a)]. given #9218 (H,wt=17): 10148 (x * K(y,z)) * (z \ 1) = x * (z \ K(y,z)). [para(4653(a,1),10144(a,2,2))]. given #9219 (H,wt=17): 10149 (x * K(y,z)) * (T(y,z) \ 1) = x * (y \ 1). [para(5062(a,1),10144(a,1,1)),flip(a)]. given #9220 (H,wt=17): 10158 (x * (y \ 1)) * K(z,y) = x * (y \ K(z,y)). [hyper(228,a,6684,a(flip),b,10148,a(flip)),flip(a)]. given #9221 (H,wt=18): 10157 T(x,L(y,x \ 1,z) \ 1) = x * K(x,y \ 1). [para(10155(a,1),4705(a,2,2))]. given #9222 (H,wt=16): 10161 T(x,L(y,x \ 1,z) \ 1) = T(x,y \ 1). [hyper(228,a,4705,a,b,10157,a)]. given #9223 (H,wt=22): 10152 L(K((x \ y) \ (z \ 1),z),z \ 1,u) = K(y \ (z \ x),z). [hyper(228,a,9210,a(flip),b,10151,a)]. given #9224 (H,wt=17): 10163 K(x \ (y * (z \ 1)),z) = K(x \ (z \ y),z). [hyper(228,a,6328,a(flip),b,10152,a(flip)),flip(a)]. given #9225 (H,wt=21): 10164 K(((x \ 1) * y) \ (x \ z),x) = K(y \ T(z,x \ 1),x). [hyper(228,a,9333,a(flip),b,10163,a(flip))]. given #9226 (H,wt=17): 10165 K(((x \ 1) * y) \ (x \ z),x) = K(y \ z,x). [hyper(228,a,9359,a(flip),b,10164,a)]. given #9227 (H,wt=17): 10166 K(((x \ 1) * y) \ z,x) = K(y \ (z * x),x). [hyper(7648,a,10165,a)]. given #9228 (H,wt=20): 10167 K(L(x,y,y \ 1) \ z,y) = K((x * y) \ (z * y),y). [hyper(228,a,8610,a(flip),b,10166,a(flip)),flip(a)]. given #9229 (H,wt=16): 10168 K(L(x,y,y \ 1) \ z,y) = K(x \ z,y). [hyper(228,a,7550,a(flip),b,10167,a)]. given #9230 (H,wt=22): 10160 (x * (y \ K(z,y))) / (y \ K(z,y)) = R(x,y \ 1,K(z,y)). [para(10158(a,1),3273(a,1,1))]. given #9231 (H,wt=10): 10170 R(x,y \ 1,K(z,y)) = x. [hyper(295,a,10160,a)]. given #9232 (H,wt=12): 10172 R(x,y \ 1,K(z,T(y,u))) = x. [para(7202(a,1),10170(a,1,3))]. given #9233 (H,wt=14): 10173 R(x,(y * K(z,y)) \ 1,K(u,y)) = x. [para(4674(a,1),10172(a,1,3,2))]. given #9234 (H,wt=12): 10175 R(x,y \ K(y,z),K(u,y)) = x. [para(4905(a,1),10173(a,1,2))]. given #9235 (H,wt=10): 10176 R(x,y,K(z,y \ 1)) = x. [para(271(a,1),10175(a,1,2))]. given #9236 (H,wt=12): 10177 R(x,y \ z,K(u,z \ y)) = x. [para(5558(a,1),10176(a,1,3))]. given #9237 (H,wt=19): 10178 x \ (y * K(z,y \ x)) = (x \ y) * K(z,y \ x). [para(10177(a,1),472(a,1,1))]. given #9238 (H,wt=22): 10162 T(x,L(x * (y \ z),x \ 1,u) \ 1) = T(x,z \ (x \ y)). [hyper(228,a,9213,a(flip),b,10161,a)]. given #9239 (H,wt=23): 10159 (x * K(y * K(z,y),z)) * (y \ 1) = x * ((y * K(z,y)) \ 1). [para(4674(a,1),10149(a,1,2,1))]. given #9240 (H,wt=19): 10180 (x * K(y,z)) * (y \ 1) = x * ((y * K(z,y)) \ 1). [para(4889(a,1),10159(a,1,1,2))]. given #9241 (H,wt=19): 10181 (x * K(y,z)) * (y \ 1) = x * (K(y,z) * (y \ 1)). [para(5449(a,1),10180(a,2,2))]. given #9242 (H,wt=12): 10183 L(x \ 1,K(x,y),z) = x \ 1. [hyper(445,a,10181,a)]. given #9243 (H,wt=24): 10146 (x * K(y,z)) * (z \ 1) != u * w | u \ (x * (T(z,y) \ 1)) = w. [para(10144(a,2),437(a,1))]. given #9244 (H,wt=25): 10179 T(x \ y,z) * ((y \ x) * K(z,x \ y)) = T((x \ y) * (y \ x),z). [para(10178(a,1),6707(a,1,2))]. given #9245 (H,wt=17): 10185 T((x \ y) * (y \ x),z) = (x \ y) * (y \ x). [hyper(5726,a,10179,a),flip(a)]. given #9246 (H,wt=11): 10187 K((x \ y) * (y \ x),z) = 1. [hyper(36,a,10185,a)]. given #9247 (H,wt=11): 10188 T(x,(y \ z) * (z \ y)) = x. [hyper(35,a,10185,a)]. given #9248 (H,wt=11): 10189 K(x * ((y * x) \ y),z) = 1. [para(13(a,1),10187(a,1,1,1))]. given #9249 (H,wt=11): 10191 T(x,y * ((z * y) \ z)) = x. [para(13(a,1),10188(a,1,2,1))]. given #9250 (H,wt=17): 10195 T(x * ((y * x) \ y),z) = x * ((y * x) \ y). [hyper(37,a,10189,a)]. given #9251 (H,wt=18): 10199 T(x * L(x \ 1,x,y),z) = x * ((y * x) \ y). [para(161(a,2),10195(a,1,1,2))]. given #9252 (H,wt=17): 10201 T(x,y) * ((x * y) \ y) = x * ((y * x) \ y). [hyper(228,a,5714,a(flip),b,10199,a(flip)),flip(a)]. given #9253 (H,wt=19): 10196 x / (y * ((z * y) \ z)) = (y * ((z * y) \ z)) \ x. [hyper(7657,a,10191,a),flip(a)]. given #9254 (H,wt=19): 10200 T(x,y) * ((z * T(x,y)) \ z) = x * ((z * x) \ z). [hyper(228,a,9410,a(flip),b,10199,a(flip)),flip(a)]. given #9255 (H,wt=19): 10204 (1 / ((x * y) \ x)) / y = (y * ((x * y) \ x)) \ 1. [hyper(228,a,308,a,b,10196,a(flip)),flip(a)]. given #9256 (H,wt=19): 10207 ((x * ((y * x) \ y)) \ 1) \ (1 / ((y * x) \ y)) = x. [para(10204(a,1),64(a,1,1))]. given #9257 (H,wt=21): 10206 (x * ((y * x) \ y)) \ T(x,z) = 1 / ((y * T(x,z)) \ y). [para(10200(a,1),1926(a,1,1))]. given #9258 (H,wt=22): 10198 x / (y * ((z * y) \ z)) != u | (y * ((z * y) \ z)) \ x = u. [para(10191(a,1),647(a,1))]. given #9259 (H,wt=22): 10208 (1 / ((x * y) \ x)) / y != z | (y * ((x * y) \ x)) \ 1 = z. [para(10207(a,1),293(a,1,2)),flip(b)]. given #9260 (H,wt=26): 10169 T(x,y) \ T(x * K(z \ u,x),y) = K(L(z,x,x \ 1) \ u,T(x,y)). [para(10168(a,1),5404(a,1,2,1,2))]. given #9261 (H,wt=20): 10209 K(L(x,y,y \ 1) \ z,T(y,u)) = K(x \ z,T(y,u)). [hyper(5904,a,10169,a),flip(a)]. given #9262 (H,wt=21): 10210 K(((1 / x) * y) \ z,T(x,u)) = K((x \ y) \ z,T(x,u)). [para(2988(a,1),10209(a,1,1,1))]. given #9263 (H,wt=21): 10211 K(((x \ 1) * y) \ z,T(x,u)) = K((x \ y) \ z,T(x,u)). [hyper(228,a,5358,a(flip),b,10210,a(flip)),flip(a)]. given #9264 (H,wt=21): 10212 K(((x \ 1) * y) \ z,T(x,u)) = K(y \ (x * z),T(x,u)). [hyper(228,a,9509,a(flip),b,10211,a)]. given #9265 (H,wt=19): 10213 K(x \ (y * z),T(y,x)) = K(((y \ 1) \ z) / x,y). [hyper(228,a,9334,a(flip),b,10212,a(flip))]. given #9266 (H,wt=17): 10214 K(((x \ 1) \ y) / z,x) = K((x * y) / z,x). [hyper(7964,a,10213,a),flip(a)]. given #9267 (H,wt=30): 10102 (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = R(x,K(y,T(u,z)),z * K(u,y)) * z. [para(7202(a,1),7890(a,2,1,2))]. given #9268 (H,wt=28): 10215 (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = R(x,K(y,u),z * K(u,y)) * z. [para(9265(a,1),10102(a,2,1))]. given #9269 (H,wt=27): 10216 (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = (x * K(y,u)) * (K(u,y) * z). [hyper(228,a,9902,a(flip),b,10215,a)]. given #9270 (H,wt=27): 10217 (x * K(y,T(z,u))) * (K(z,T(y,u)) * u) = (x * K(y,z)) * (K(z,y) * u). [para(7202(a,1),10216(a,1,1,2))]. given #9271 (H,wt=25): 10218 (x * K(y,T(z,u))) * (u * K(z,y)) = (x * K(y,z)) * (K(z,y) * u). [para(7823(a,1),10217(a,1,2))]. given #9272 (H,wt=30): 10111 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(42(a,2),8962(a,1,1,2))]. given #9273 (H,wt=30): 10112 L(x \ 1,T(K(x,y),z),z) * (K(x,y) * z) = z * (K(x,T(y,z)) * T(x \ 1,z)). [para(7152(a,2),9354(a,2,2,1))]. given #9274 (H,wt=26): 10221 L(x \ 1,T(K(x,y),z),z) * (K(x,y) * z) = z * T(x \ K(x,y),z). [para(9882(a,1),10112(a,2,2))]. given #9275 (H,wt=24): 10222 L(x \ 1,T(K(x,y),z),z) * (K(x,y) * z) = (x \ K(x,y)) * z. [hyper(228,a,113,a(flip),b,10221,a)]. given #9276 (H,wt=24): 10223 L(x \ 1,K(x,T(y,z)),z) * (K(x,y) * z) = (x \ K(x,y)) * z. [para(7152(a,2),10222(a,1,1,2))]. given #9277 (H,wt=17): 10224 (x \ 1) * (K(x,y) * z) = (x \ K(x,y)) * z. [para(10183(a,1),10223(a,1,1))]. given #9278 (H,wt=17): 10225 ((x \ 1) * y) / ((x \ K(x,z)) * y) = K(z,x). [para(10224(a,1),6558(a,1,2))]. given #9279 (H,wt=12): 10227 R(K(x,y),y \ 1,z) = K(x,y). [hyper(228,a,6935,a(flip),b,10225,a(flip)),flip(a)]. given #9280 (H,wt=30): 10139 T(x,T((y \ 1) \ x,z)) * K(T(y \ 1,z) \ 1,x) = L(x,T(1 / y,z) \ 1,x). [para(4534(a,1),10091(a,1,1))]. given #9281 (H,wt=30): 10220 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(7785(a,1),10111(a,1,2))]. given #9282 (H,wt=23): 10230 K(x * R(T(y,z),u,w),T(y,v5)) = K(x * R(y,u,w),T(y,v5)). [para(7986(a,1),10220(a,1,2))]. given #9283 (H,wt=28): 10231 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(10230(a,1),5398(a,1,1,2))]. given #9284 (H,wt=26): 10233 T(T(x * K(y * R(x,z,u),x),w),y) = R(T(x,w),y,R(T(x,w),z,u)). [para(5396(a,1),10231(a,1,1))]. given #9285 (H,wt=21): 10234 R(T(x,y),z,R(T(x,y),u,w)) = R(T(x,y),z,R(x,u,w)). [hyper(228,a,6975,a(flip),b,10233,a(flip))]. given #9286 (H,wt=27): 10236 K(x,y) * (y \ R(T(y,x),z,R(y,u,w))) = y \ R(y,z,R(T(y,x),u,w)). [para(10234(a,1),8727(a,1,2,2))]. given #9287 (H,wt=27): 10237 K(x,y) * (K(y,x) * a(y,z,R(y,u,w))) = y \ R(y,z,R(T(y,x),u,w)). [para(10071(a,1),10236(a,1,2))]. given #9288 (H,wt=19): 10238 x \ R(x,y,R(T(x,z),u,w)) = a(x,y,R(x,u,w)). [hyper(5046,a,10237,a)]. given #9289 (H,wt=19): 10240 a(T(x,y),z,R(T(x,y),u,w)) = a(x,z,R(x,u,w)). [hyper(10075,a,10238,a)]. given #9290 (H,wt=22): 10239 x \ R(x,y,R(T(x,z),u,w)) != v5 | a(x,y,R(x,u,w)) = v5. [para(10237(a,1),5046(a,1)),flip(b)]. given #9291 (H,wt=22): 10243 a(T(x,y),z,R(T(x,y),u,w)) != v5 | a(x,z,R(x,u,w)) = v5. [para(10068(a,2),10239(a,1))]. given #9292 (H,wt=30): 10229 T(x,T(1 \ (y * x),z)) * K(T(y \ 1,z) \ 1,x) = L(x,T(1 / y,z) \ 1,x). [para(9615(a,1),10139(a,1,1))]. given #9293 (H,wt=28): 10244 T(x,T(y * x,z)) * K(T(y \ 1,z) \ 1,x) = L(x,T(1 / y,z) \ 1,x). [para(51(a,1),10229(a,1,1,2,1))]. given #9294 (H,wt=28): 10245 T(x,T(y * x,z)) * K((y \ 1) \ 1,T(x,z)) = L(x,T(1 / y,z) \ 1,x). [para(7164(a,1),10244(a,1,2))]. given #9295 (H,wt=24): 10246 T(x,T(y * x,z)) * K(y,T(x,z)) = L(x,T(1 / y,z) \ 1,x). [para(2857(a,1),10245(a,1,2))]. given #9296 (H,wt=31): 4424 T(1 / ((x * K(y \ 1,y)) * z),x * K(y \ 1,y)) = K(y,y \ 1) * (x \ (1 / z)). [hyper(384,a,4369,a)]. given #9297 (H,wt=29): 10247 T(1 / ((x * K(y \ 1,y)) * z),x * K(y \ 1,y)) = ((x \ y) * (1 / y)) / z. [hyper(228,a,3531,a(flip),b,4424,a)]. given #9298 (H,wt=29): 10248 T(1 / (K(x \ 1,x) * (y * z)),y * K(x \ 1,x)) = ((y \ x) * (1 / x)) / z. [para(3448(a,1),10247(a,1,1,2))]. given #9299 (H,wt=29): 10249 T((1 / (x * y)) * K(z,z \ 1),x * K(z \ 1,z)) = ((x \ z) * (1 / z)) / y. [para(5048(a,1),10248(a,1,1))]. given #9300 (H,wt=27): 10250 T(x * (1 / ((y * z) * x)),y * K(x \ 1,x)) = ((y \ x) * (1 / x)) / z. [para(6841(a,1),10249(a,1,1))]. given #9301 (H,wt=21): 10251 T(x * (1 / ((y * z) * x)),y) = ((y \ x) * (1 / x)) / z. [hyper(9945,a,10250,a)]. given #9302 (H,wt=19): 10252 ((x \ y) * (1 / y)) / z = x \ (y * (1 / (z * y))). [hyper(6850,a,10251,a),flip(a)]. given #9303 (H,wt=19): 10254 (x * y) \ (x * (1 / (z * x))) = (y \ (1 / x)) / z. [para(4558(a,1),10252(a,1,1)),flip(a)]. given #9304 (H,wt=23): 10256 (x \ (1 / (y \ 1))) / (z \ y) = ((y \ 1) * x) \ ((y \ 1) * z). [para(255(a,1),10254(a,1,2,2)),flip(a)]. given #9305 (H,wt=19): 10258 ((x \ 1) * y) \ ((x \ 1) * z) = (y \ x) / (z \ x). [para(61(a,1),10256(a,1,1,2)),flip(a)]. given #9306 (H,wt=24): 10259 a(1 / ((x \ 1) * y),x \ 1,z) = ((z \ x) / (y \ x)) / (z \ y). [para(10258(a,1),1497(a,1,1)),flip(a)]. given #9307 (H,wt=26): 10260 a(1 / ((x \ 1) * (x / y)),x \ 1,z) = ((z \ x) / y) / (z \ (x / y)). [para(64(a,1),10259(a,2,1,2))]. given #9308 (H,wt=29): 10255 x \ (y * (1 / ((z / (z / u)) * (u \ y)))) = ((x \ y) * (1 / y)) / K(u \ z,u). [para(5695(a,2),10252(a,2,2,2,2)),flip(a)]. given #9309 (H,wt=29): 10261 x \ (y * (1 / ((z / (z / u)) * (u \ y)))) = ((x \ y) * (1 / y)) * K(u,u \ z). [hyper(228,a,5063,a(flip),b,10255,a)]. given #9310 (H,wt=29): 10262 x \ (y * (1 / ((1 / (1 / z)) * (z \ y)))) = (x \ y) * ((1 / y) * K(z,z \ 1)). [hyper(228,a,4331,a(flip),b,10261,a)]. given #9311 (H,wt=27): 10263 x \ (y * (1 / ((1 / (1 / z)) * (z \ y)))) = (x \ y) * (z * (1 / (y * z))). [para(6841(a,1),10262(a,2,2))]. given #9312 (H,wt=25): 10264 x \ (y * (1 / (K(z \ 1,z) * y))) = (x \ y) * (z * (1 / (y * z))). [para(3066(a,1),10263(a,1,2,2,2))]. given #9313 (H,wt=25): 10265 x \ (y * ((1 / y) * K(z,z \ 1))) = (x \ y) * (z * (1 / (y * z))). [para(5048(a,1),10264(a,1,2,2))]. given #9314 (H,wt=23): 10266 x \ (y * (z * (1 / (y * z)))) = (x \ y) * (z * (1 / (y * z))). [para(6841(a,1),10265(a,1,2,2))]. given #9315 (H,wt=31): 4515 (x * (y \ z)) * (u * (((x * (y \ z)) \ z) / u)) = ((u * ((y / x) / u)) * x) * (y \ z). [hyper(228,a,3733,a(flip),b,4498,a(flip))]. given #9316 (H,wt=31): 4541 x \ K((y / z) * u,u \ (z * (y \ 1))) = (x \ ((y / z) * u)) * (1 / ((y / z) * u)). [para(120(a,1),4365(a,1,2,2,2))]. given #9317 (H,wt=31): 4793 ((K(x,y) * z) * (z \ x)) / T(T(x,y),a(K(x,y),z,z \ x)) = a(K(x,y),z,z \ x). [para(4712(a,2),885(a,1,2,1))]. given #9318 (H,wt=22): 10268 ((K(x,y) * z) * (z \ x)) / T(x,y) = a(K(x,y),z,z \ x). [para(9073(a,1),4793(a,1,2))]. given #9319 (H,wt=31): 5014 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(4681(a,1),447(a,1,1)),flip(a)]. given #9320 (H,wt=25): 10270 L(L(x,y,T(z,u)),T(z,u) * y,K(u,z)) = (z * y) \ (z * (y * x)). [para(4681(a,1),5014(a,2,2))]. given #9321 (H,wt=20): 10271 L(L(x,y,T(z,u)),T(z,u) * y,K(u,z)) = L(x,y,z). [hyper(228,a,28,a,b,10270,a)]. given #9322 (H,wt=11): 10274 L(x,y,T(x,z)) = L(x,y,x). [hyper(228,a,7457,a(flip),b,10271,a(flip)),flip(a)]. given #9323 (H,wt=15): 10277 L(T(x,y),z,T(x,u)) = T(L(x,z,x),y). [para(10274(a,1),40(a,2,1))]. given #9324 (H,wt=15): 10280 L(T(x,y),z,T(x,u)) = L(T(x,y),z,x). [hyper(228,a,40,a,b,10277,a)]. given #9325 (H,wt=15): 10281 L(T(x,y),T(z,x),x) = L(T(x,y),z,x). [hyper(228,a,4242,a(flip),b,10280,a(flip))]. given #9326 (H,wt=23): 10272 L(L(x,y,T(z,u)),T(z,u) * y,K(u,z)) != w | L(x,y,z) = w. [para(10270(a,2),456(a,1))]. given #9327 (H,wt=23): 10283 T(x,y) * (L(T(x,y),z,x) \ u) = u * a(T(x,y),z,T(x,y)). [para(10280(a,1),9016(a,1,2,1))]. given #9328 (H,wt=13): 10284 a(T(x,y),z,T(x,y)) = a(x,z,x). [hyper(9029,a,10283,a),flip(a)]. given #9329 (H,wt=11): 10287 L(x,a(y,z,y),T(y,u)) = x. [para(10284(a,1),9841(a,1,2))]. given #9330 (H,wt=21): 10288 (T(x,y) * a(x,z,x)) * u = T(x,y) * (a(x,z,x) * u). [para(10287(a,1),100(a,1,2))]. given #9331 (H,wt=19): 10289 T(x,y) * (a(x,z,x) * u) = R(T(x,y),z,x) * u. [para(8886(a,1),10288(a,1,1)),flip(a)]. given #9332 (H,wt=23): 10286 ((x * y) * a(y,z,y)) \ ((y * x) * y) = L(T(y,x),z,T(y,x)). [para(10284(a,1),9018(a,1,1,2))]. given #9333 (H,wt=21): 10290 (x * R(y,z,y)) \ ((y * x) * y) = L(T(y,x),z,T(y,x)). [para(9813(a,1),10286(a,1,1))]. given #9334 (H,wt=19): 10292 (x * R(y,z,y)) \ ((y * x) * y) = L(T(y,x),z,y). [hyper(228,a,10280,a(flip),b,10290,a)]. given #9335 (H,wt=31): 5272 R(R(x,y,T(z,u)),y * T(z,u),K(u,z)) = (((x * y) * T(z,u)) * K(u,z)) / (y * z). [para(5207(a,1),479(a,1,2)),flip(a)]. given #9336 (H,wt=25): 10294 R(R(x,y,T(z,u)),y * T(z,u),K(u,z)) = ((x * y) * z) / (y * z). [para(5207(a,1),5272(a,2,1))]. given #9337 (H,wt=20): 10295 R(R(x,y,T(z,u)),y * T(z,u),K(u,z)) = R(x,y,z). [hyper(228,a,30,a,b,10294,a)]. given #9338 (H,wt=24): 10298 R(R(x,y \ z,T(y,y \ z)),z,K(y \ z,y)) = R(x,y \ z,y). [para(168(a,1),10295(a,1,2))]. given #9339 (H,wt=20): 10299 R(R(x,y / z,z),y,K(z \ y,z)) = R(x,z \ y,z). [para(6364(a,1),10298(a,1,1))]. given #9340 (H,wt=31): 5279 (x / y) \ T(x * K(y,z),(x / y) \ 1) = (((x / y) \ 1) \ T(y,z)) * ((x / y) \ 1). [para(5216(a,1),918(a,1,2,1))]. given #9341 (H,wt=31): 6014 ((x / y) \ T(x * K(y,z),(x / y) \ 1)) / T(y,z) = K(x * K(y,z),(x / y) \ 1). [para(5227(a,1),5871(a,1,2))]. given #9342 (H,wt=31): 6775 (1 / (x \ (y \ (z \ 1)))) \ (z * (y * x)) = ((y * x) \ (z \ 1)) \ (x \ (y \ (z \ 1))). [hyper(547,a,6774,a)]. given #9343 (H,wt=31): 7125 K(x,R(y,z,y)) * ((u / y) * R(y,z,y)) = R(y,z,y) * (K(x,R(y,z,y)) * (y \ u)). [para(7089(a,1),5470(a,1,2,2)),flip(a)]. given #9344 (H,wt=28): 10302 R(x,y,x) * (K(z,R(x,y,x)) * (x \ u)) = K(z,x) * ((u / x) * R(x,y,x)). [para(7098(a,1),7125(a,1,1)),flip(a)]. given #9345 (H,wt=25): 10303 R(x,y,x) * (K(z,x) * (x \ u)) = K(z,x) * ((u / x) * R(x,y,x)). [para(7098(a,1),10302(a,1,2,1))]. given #9346 (H,wt=23): 10305 K(x,y) * ((z / y) * R(y,u,y)) = R(y,u,y) * (T(y,x) \ z). [para(5004(a,1),10303(a,1,2)),flip(a)]. given #9347 (H,wt=21): 10307 R(x,y,x) * (T(x,z) \ u) = x * (L(T(x,z),y,x) \ u). [hyper(228,a,9823,a(flip),b,10305,a(flip))]. given #9348 (H,wt=27): 10308 K(x,y) * (x * (L(T(x,z),u,x) \ w)) = R(T(x,y),u,x) * (T(x,z) \ w). [para(10307(a,1),7040(a,1,2))]. given #9349 (H,wt=25): 10309 R(T(x,y),z,x) * (T(x,u) \ w) = T(x,y) * (L(T(x,u),z,x) \ w). [hyper(5095,a,10308,a),flip(a)]. given #9350 (H,wt=31): 7680 (R(x \ y,z,x \ y) / (x \ y)) * (y / x) = R((x \ y) * K(x,x \ y),z,x \ y). [hyper(228,a,6042,a,b,7103,a),flip(a)]. given #9351 (H,wt=31): 8216 K(T(x,y) * z,T(T(x,u),w)) = T(T(x,u),w) \ T(T(x,u) * K(x * z,T(x,u)),w). [para(7529(a,1),5404(a,1,2,1,2)),flip(a)]. given #9352 (H,wt=21): 10311 K(T(x,y) * z,T(T(x,u),w)) = K(x * z,T(T(x,u),w)). [hyper(228,a,5404,a(flip),b,8216,a)]. given #9353 (H,wt=23): 10312 K(((x \ y) \ y) * z,T(T(x,u),w)) = K(x * z,T(T(x,u),w)). [para(114(a,1),10311(a,1,1,1))]. given #9354 (H,wt=31): 8653 K(x,(y * (z * (u / x))) \ (z * (x \ u))) = K(x,(z * (u / x)) \ (y \ (z * (u / x)))). [hyper(228,a,8457,a(flip),b,8629,a(flip))]. given #9355 (H,wt=31): 8661 K(x,L(L(y,z,K(x,u)),K(x,u) * z,w)) = K(x,(w * (K(x,u) * z)) \ (w * (z * y))). [para(447(a,1),8656(a,1,2))]. given #9356 (H,wt=26): 10313 K(x,(y * (K(x,z) * u)) \ (y * (u * w))) = K(x,L(w,K(x,z) * u,y)). [hyper(228,a,7438,a(flip),b,8661,a(flip))]. given #9357 (H,wt=22): 10315 K(x,L(y,K(x,z) * u,w)) = K(x,(w * u) \ (w * (u * y))). [hyper(228,a,8655,a(flip),b,10313,a(flip))]. given #9358 (H,wt=17): 10317 K(x,L(y,K(x,z) * u,w)) = K(x,L(y,u,w)). [para(28(a,2),10315(a,2,2))]. given #9359 (H,wt=23): 10318 K(L(x,K(y,z) * u,w),y) = (y \ 1) / (y \ K(y,L(x,u,w))). [para(10317(a,1),5038(a,1,2,2)),flip(a)]. given #9360 (H,wt=17): 10319 K(L(x,K(y,z) * u,w),y) = K(L(x,u,w),y). [hyper(228,a,5038,a(flip),b,10318,a)]. given #9361 (H,wt=15): 10320 K(L(x,T(y,z),u),z) = K(L(x,y,u),z). [para(4665(a,1),10319(a,1,1,2)),flip(a)]. given #9362 (H,wt=31): 8807 K(R(R(x,K(y,z),u),K(y,z) * u,w),z) = K((((x * K(y,z)) * u) * w) / (u * w),z). [para(479(a,1),8805(a,1,1))]. given #9363 (H,wt=26): 10321 K((((x * K(y,z)) * u) * w) / (u * w),z) = K(R(x,K(y,z) * u,w),z). [hyper(228,a,8315,a(flip),b,8807,a(flip))]. given #9364 (H,wt=21): 10323 K(R(x * K(y,z),u,w),z) = K(R(x,K(y,z) * u,w),z). [para(30(a,2),10321(a,1,1))]. given #9365 (H,wt=21): 10324 K(R(K(x,y) * z,u,w),y) = K(R(z,K(x,y) * u,w),y). [hyper(228,a,8242,a,b,10323,a(flip)),flip(a)]. given #9366 (H,wt=23): 10325 R(K(x,y),z * (K(u,y) * x),w) = K(R(x,K(u,y) * z,w),y). [hyper(228,a,9141,a,b,10324,a(flip)),flip(a)]. given #9367 (H,wt=31): 8819 K(x,R(R(y,K(z,x),u),K(z,x) * u,w)) = K(x,(((y * K(z,x)) * u) * w) / (u * w)). [para(479(a,1),8817(a,1,2))]. given #9368 (H,wt=26): 10326 K(x,(((y * K(z,x)) * u) * w) / (u * w)) = K(x,R(y,K(z,x) * u,w)). [hyper(228,a,8309,a(flip),b,8819,a(flip))]. given #9369 (H,wt=21): 10328 K(x,R(y * K(z,x),u,w)) = K(x,R(y,K(z,x) * u,w)). [para(30(a,2),10326(a,1,2))]. given #9370 (H,wt=31): 8918 R(T(x,y),z,x) \ (x * ((K(x,y) * a(x,z,x)) * u)) = L(u,x \ R(T(x,y),z,x),x). [para(8887(a,1),101(a,1,2,2,1))]. given #9371 (H,wt=31): 8968 K(T(x * K(x * y,x),z * K(y * x,z)),u) = K((x * K(x * y,x)) * K(x,z),u). [para(5648(a,1),8967(a,2,1,2,1))]. given #9372 (H,wt=29): 10330 K(T(x,y * K(z * x,y)),T(u,x * z)) = K((x * K(x * z,x)) * K(x,y),u). [hyper(8160,a,8968,a)]. given #9373 (H,wt=27): 10331 K(T(x,y * K(z * x,y)),T(u,z)) = K((x * K(x * z,x)) * K(x,y),u). [hyper(228,a,8478,a(flip),b,10330,a(flip)),flip(a)]. given #9374 (H,wt=25): 10332 K((x * K(x * y,x)) * K(x,z),u) = K(x * K(T(x,y),z),T(u,y)). [hyper(228,a,8969,a(flip),b,10331,a(flip))]. given #9375 (H,wt=23): 10333 K((x * K(x * y,x)) * K(x,z),u) = K(K(y,x) * T(x,z),u). [hyper(228,a,8236,a(flip),b,10332,a)]. given #9376 (H,wt=21): 10334 K(K(x * y,x) * T(x,z),u) = K(K(y,x) * T(x,z),u). [para(5254(a,1),10333(a,1,1))]. given #9377 (H,wt=21): 10335 K(K(x * y,x) * T(x,z),T(u,z)) = K(x,T(u,T(y,z))). [hyper(228,a,8960,a(flip),b,10334,a)]. given #9378 (H,wt=17): 10336 K(x,T(y,T(x * z,u))) = K(x,T(y,T(z,u))). [hyper(8961,a,10335,a)]. given #9379 (H,wt=15): 10337 K(x,T(x * y,T(y,z))) = K(x,x * y). [para(196(a,1),10336(a,1,2)),flip(a)]. given #9380 (H,wt=17): 10338 K(x,T(x * T(y,z),y)) = K(x,x * T(y,z)). [para(7927(a,1),10337(a,1,2))]. given #9381 (H,wt=21): 10339 K(x,T(T(x * T(y,z),u),y)) = T(K(x,x * T(y,z)),u). [para(10338(a,1),7173(a,2,1))]. given #9382 (H,wt=24): 10340 K(x,T(T(x * T(y,z),u),y)) != w | K(x,T(x * T(y,z),u)) = w. [para(10339(a,2),7634(a,1))]. given #9383 (H,wt=31): 9297 T(T(x,y) / T(R(x,z,x),u),R(x,z,x)) = (x \ L(T(x,y),z,x)) * K(u,R(x,z,x)). [para(9295(a,1),7549(a,2,1))]. given #9384 (H,wt=28): 10341 T(T(x,y) / T(R(x,z,x),u),R(x,z,x)) = (x \ L(T(x,y),z,x)) * K(u,x). [para(7098(a,1),9297(a,2,2))]. given #9385 (H,wt=26): 10342 T(T(x,y) / T(R(x,z,x),u),R(x,z,x)) = T(x,u) \ L(T(x,y),z,x). [hyper(228,a,8192,a(flip),b,10341,a)]. given #9386 (H,wt=31): 9380 T(T(x * K(y * T(x,z),x),u),w) \ T(T(x,u),w) = K(x,T(T(T(x,z) * y,w),u)). [para(7359(a,1),9148(a,1,1,1,1,2))]. given #9387 (H,wt=23): 10344 K(x,T(T(T(x,y) * z,u),w)) = K(x,T(T(z * T(x,y),u),w)). [hyper(9149,a,9380,a),flip(a)]. given #9388 (H,wt=21): 10345 K(x,T(T(y * T(x,z),u),w)) = K(x,T(T(x * y,u),w)). [hyper(228,a,8499,a(flip),b,10344,a(flip))]. given #9389 (H,wt=31): 9724 K(x \ R(x,y,z),R(x,x \ R(x,y,z),y * z)) = K(a(x,y,z),T(x,x * (y * z))). [hyper(9142,a,9653,a)]. given #9390 (H,wt=25): 10347 K(x \ R(x,y,z),R(x,x \ R(x,y,z),y * z)) = K(a(x,y,z),x). [hyper(228,a,9905,a(flip),b,9724,a)]. given #9391 (H,wt=8): 10348 K(a(x,y,z),x) = 1. [hyper(6431,a,10347,a),flip(a)]. given #9392 (H,wt=11): 10350 T(a(x,y,z),x) = a(x,y,z). [hyper(37,a,10348,a)]. given #9393 (H,wt=13): 10351 a(x,y,z) * x = x * a(x,y,z). [para(10350(a,1),113(a,1,2)),flip(a)]. given #9394 (H,wt=17): 10352 T(a(1 / x,y,z),x \ 1) = a(x \ 1,y,z). [para(3715(a,2),10350(a,1,1))]. given #9395 (H,wt=31): 9754 K((x * ((y * z) \ y)) \ ((1 / ((y * z) \ y)) \ u),1 / ((y * z) \ y)) = K(x \ u,z). [para(13(a,1),9270(a,2,2))]. given #9396 (H,wt=29): 10353 K((x * ((y * z) \ y)) \ ((1 / ((y * z) \ y)) \ u),y \ (y * z)) = K(x \ u,z). [hyper(5766,a,9754,a)]. given #9397 (H,wt=25): 10354 K((x * ((y * z) \ y)) \ ((1 / ((y * z) \ y)) \ u),z) = K(x \ u,z). [para(13(a,1),10353(a,1,2))]. given #9398 (H,wt=25): 10355 K(((x * y) \ x) \ (y \ ((1 / ((x * y) \ x)) \ z)),y) = K(y \ z,y). [hyper(8360,a,10354,a)]. given #9399 (H,wt=31): 9787 (a(x,y,x) * z) \ (z * (u * a(x,y,x))) != w | L(T(u,a(x,y,x)),a(x,y,x),z) = w. [para(9764(a,2),721(a,1,1))]. given #9400 (H,wt=31): 9819 ((x * y) * R(L(z,y,x),u,L(z,y,x))) / (x * (y * z)) = a(L(z,y,x),u,L(z,y,x)). [para(100(a,1),9810(a,1,2))]. given #9401 (H,wt=28): 10356 (x * (y * R(z,u,L(z,y,x)))) / (x * (y * z)) = a(L(z,y,x),u,L(z,y,x)). [para(451(a,1),9819(a,1,1))]. given #9402 (H,wt=31): 9929 K(x,K(y,(z * u) / (R(z,w,v5) * u))) != v6 | K(x,K(R(z,w,v5) \ z,R(y,z,u))) = v6. [para(9903(a,1),7771(a,1))]. given #9403 (H,wt=31): 10097 K(x \ T(y,z),(z \ (y * z)) \ x) / (z * x) = ((z * x) \ (y * z)) * (1 / (y * z)). [para(32(a,2),10096(a,1,1,1,2))]. given #9404 (H,wt=29): 10357 K(x \ T(y,z),T(y,z) \ x) / (z * x) = ((z * x) \ (y * z)) * (1 / (y * z)). [para(32(a,2),10097(a,1,1,2,1))]. given #9405 (H,wt=31): 10257 (x * y) \ (x * (1 / (z * (x * K(u,u \ 1))))) = (y \ (1 / x)) / (z * K(u,u \ 1)). [para(4407(a,1),10254(a,1,2,2,2))]. given #9406 (H,wt=29): 10358 (x * y) \ (x * (K(z \ 1,z) / (u * x))) = (y \ (1 / x)) / (u * K(z,z \ 1)). [para(5139(a,1),10257(a,1,2,2))]. given #9407 (H,wt=27): 10359 (x * y) \ (K(z \ x,x \ z) / u) = (y \ (1 / x)) / (u * K(z,z \ 1)). [para(6894(a,1),10358(a,1,2))]. given #9408 (H,wt=27): 10360 (x * y) \ (K(z \ x,x \ z) / u) = K(z \ 1,z) * ((y \ (1 / x)) / u). [hyper(228,a,4554,a(flip),b,10359,a)]. given #9409 (H,wt=25): 10361 (x * y) \ (K(z \ x,x \ z) / u) = (y \ ((z \ 1) * (z / x))) / u. [hyper(228,a,4528,a(flip),b,10360,a)]. given #9410 (H,wt=31): 10267 (x * (y \ z)) * (u * (((x * (y \ z)) \ z) / u)) = (x * (u * ((x \ y) / u))) * (y \ z). [para(4498(a,1),4515(a,2,1))]. given #9411 (H,wt=31): 10300 T((((x / y) \ 1) \ y) * ((x / y) \ 1),z) = (x / y) \ T(x * K(y,z),(x / y) \ 1). [hyper(228,a,4477,a,b,5279,a),flip(a)]. given #9412 (H,wt=23): 10363 (x / y) \ T(x * K(y,z),(x / y) \ 1) = T(x * (y / x),z). [para(3635(a,1),10300(a,1,1)),flip(a)]. given #9413 (H,wt=23): 10364 K(x * K(y,z),(x / y) \ 1) = T(x * (y / x),z) / T(y,z). [para(10363(a,1),6014(a,1,1)),flip(a)]. given #9414 (H,wt=19): 10365 K(x * K(y,z),(x / y) \ 1) = K(x,x \ T(y,z)). [hyper(228,a,5097,a(flip),b,10364,a)]. given #9415 (H,wt=17): 10366 K(K(x,y) * z,z \ x) = K(z,z \ T(x,y)). [hyper(228,a,8479,a(flip),b,10365,a(flip)),flip(a)]. given #9416 (H,wt=31): 10301 ((1 / 1) \ ((x * y) * z)) \ (x * (y * z)) = ((y * z) \ (x \ 1)) \ (z \ (y \ (x \ 1))). [para(634(a,1),6775(a,1,1))]. given #9417 (H,wt=29): 10367 ((x * y) \ (z \ 1)) \ (y \ (x \ (z \ 1))) = (1 \ ((z * x) * y)) \ (z * (x * y)). [para(58(a,1),10301(a,1,1,1)),flip(a)]. given #9418 (H,wt=27): 10368 ((x * y) \ (z \ 1)) \ (y \ (x \ (z \ 1))) = ((z * x) * y) \ (z * (x * y)). [para(51(a,1),10367(a,2,1))]. given #9419 (H,wt=31): 10310 ((x \ y) \ R(x \ y,z,x \ y)) * (y / x) = R((x \ y) * K(x,x \ y),z,x \ y). [para(3517(a,1),7680(a,1,1))]. given #9420 (H,wt=25): 10370 ((x \ y) \ R(x \ y,z,x \ y)) * (y / x) = R(y / x,z,x \ y). [para(4717(a,1),10310(a,2,1))]. given #9421 (H,wt=21): 10371 a(x \ y,z,x \ y) * (y / x) = R(y / x,z,x \ y). [para(8875(a,1),10370(a,1,1))]. given #9422 (H,wt=25): 10372 R(T(x / y,K(y,x)),z,x / y) = a(y \ x,z,y \ x) * (x / y). [hyper(228,a,7679,a,b,10371,a),flip(a)]. given #9423 (H,wt=17): 10373 a(x / y,z,x / y) = a(y \ x,z,y \ x). [hyper(9596,a,10372,a)]. given #9424 (H,wt=31): 10329 R(T(x,y),z,x) \ (x * (K(x,y) * (a(x,z,x) * u))) = L(u,x \ R(T(x,y),z,x),x). [para(9480(a,1),8918(a,1,2,2))]. given #9425 (H,wt=29): 10374 R(T(x,y),z,x) \ (T(x,y) * (a(x,z,x) * u)) = L(u,x \ R(T(x,y),z,x),x). [para(4675(a,1),10329(a,1,2))]. given #9426 (H,wt=27): 10375 R(T(x,y),z,x) \ (R(T(x,y),z,x) * u) = L(u,x \ R(T(x,y),z,x),x). [para(10289(a,1),10374(a,1,2))]. given #9427 (H,wt=13): 10376 L(x,y \ R(T(y,z),u,y),y) = x. [hyper(284,a,10375,a)]. given #9428 (H,wt=13): 10378 L(x,K(y,z) * a(y,u,y),y) = x. [para(8887(a,1),10376(a,1,2))]. given #9429 (H,wt=32): 4057 L(x,T(y / T(x,y),z),x) * T(y / T(x,y),z) = (x * (x * T(T(x,y) \ y,z))) / x. [para(3791(a,1),4050(a,1,1,2)),flip(a)]. given #9430 (H,wt=30): 10379 L(x,T(y / T(x,y),z),x) * T(y / T(x,y),z) = ((x * T(x \ y,z)) * x) / x. [para(4281(a,1),4057(a,2,1))]. given #9431 (H,wt=29): 10380 L(x,T(y / T(x,y),z),x) * T(y / T(x,y),z) != u | x * T(x \ y,z) = u. [para(10379(a,2),295(a,1)),flip(b)]. given #9432 (H,wt=32): 4543 (x * y) \ (K(z,z \ 1) * (x * (K(z \ 1,z) * (y * u)))) = L(u,y * K(z \ 1,z),x). [hyper(3493,a,4384,a),flip(a)]. given #9433 (H,wt=20): 10381 L(x,y * K(z \ 1,z),u) = (u * y) \ (u * (y * x)). [para(4417(a,1),4543(a,1,2)),flip(a)]. given #9434 (H,wt=15): 10382 L(x,y * K(z \ 1,z),u) = L(x,y,u). [hyper(228,a,28,a,b,10381,a)]. given #9435 (H,wt=13): 10384 L(x,1 / y,z) = L(x,y \ 1,z). [para(725(a,1),10382(a,1,2)),flip(a)]. given #9436 (H,wt=15): 10386 L(x,K(y \ 1,y) * z,u) = L(x,z,u). [para(2353(a,2),10382(a,1,2))]. given #9437 (H,wt=17): 10387 L(x,y * (1 / z),u) = L(x,y * (z \ 1),u). [para(2812(a,1),10382(a,1,2)),flip(a)]. given #9438 (H,wt=21): 10388 L(x,T((y \ 1) \ 1,z) \ u,w) = L(x,T(y,z) \ u,w). [para(3142(a,1),10382(a,1,2))]. given #9439 (H,wt=21): 10389 L(x,T(1 / y,z) \ u,w) = L(x,T(y \ 1,z) \ u,w). [para(3206(a,1),10382(a,1,2))]. given #9440 (H,wt=21): 10390 L(x,y / T(1 / z,u),w) = L(x,y / T(z \ 1,u),w). [para(6648(a,1),10382(a,1,2))]. given #9441 (H,wt=23): 10394 L(x,(y \ K(y,z)) * T(y,u),w) = L(x,K(y,z) * K(y,u),w). [para(6525(a,1),10386(a,1,2))]. given #9442 (H,wt=24): 10396 T(x,T(y * x,z)) * K(y,T(x,z)) = L(x,T(y \ 1,z) \ 1,x). [hyper(228,a,10246,a,b,10389,a(flip)),flip(a)]. given #9443 (H,wt=15): 10397 L(x,T(y \ 1,z) \ 1,x) = L(x,y,x). [hyper(228,a,9582,a(flip),b,10396,a(flip))]. given #9444 (H,wt=15): 10399 L(x,T(y,z) \ 1,x) = L(x,y \ 1,x). [hyper(228,a,10388,a(flip),b,10397,a(flip)),flip(a)]. given #9445 (H,wt=17): 10400 L(x,(y / z) \ 1,x) = L(x,(z \ y) \ 1,x). [para(115(a,1),10399(a,1,2,1)),flip(a)]. given #9446 (H,wt=27): 10395 L(x,y * ((K(z,u) * T(z,w)) \ 1),v5) = L(x,y * (K(u,z) / T(z,w)),v5). [para(5138(a,1),10387(a,1,2,2)),flip(a)]. given #9447 (H,wt=25): 10401 L(x,y * (K(z,u) / T(u,w)),v5) = L(x,y * (T(u,z) \ K(w,u)),v5). [para(5583(a,1),10395(a,1,2,2)),flip(a)]. given #9448 (H,wt=32): 5295 T(T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)),u) = L(T(z,u),z \ (x * K(y,z)),z). [para(5264(a,1),4010(a,1,1,1,2))]. given #9449 (H,wt=21): 10402 L(T(x,y),x \ (z * K(u,x)),x) = T(L(x,x \ z,x),y). [para(9650(a,1),5295(a,1,1)),flip(a)]. given #9450 (H,wt=21): 10403 L(T(x,y),x \ (K(z,x) * u),x) = T(L(x,x \ u,x),y). [para(7205(a,1),10402(a,1,2,2))]. given #9451 (H,wt=21): 10405 L(T(x,y),x \ (K(z,x) * u),x) = L(T(x,y),x \ u,x). [hyper(228,a,40,a,b,10403,a)]. given #9452 (H,wt=19): 10406 L(T(x,y),T(x,z) \ u,x) = L(T(x,y),x \ u,x). [para(4997(a,1),10405(a,1,2))]. given #9453 (H,wt=21): 10407 L(T(x,y),T(z / T(x,u),x),x) = L(T(x,y),x \ z,x). [para(8432(a,2),10406(a,1,2))]. given #9454 (H,wt=19): 10408 L(T(x,y),z / T(x,u),x) = L(T(x,y),x \ z,x). [hyper(228,a,10281,a(flip),b,10407,a(flip)),flip(a)]. given #9455 (H,wt=32): 6123 K(((x * (y * z)) / z) \ 1,z / (y * z)) = K((x / R(1 / y,y,z)) \ 1,z / (y * z)). [para(719(a,1),6119(a,1,1,1))]. given #9456 (H,wt=30): 10409 K((x / R(1 / y,y,z)) \ 1,z / (y * z)) = K(((x * (y * z)) / z) \ 1,y \ 1). [hyper(5424,a,6123,a),flip(a)]. given #9457 (H,wt=28): 10411 K((x / R(1 / y,y,z)) \ 1,z / (y * z)) = K(z / (x * (y * z)),y \ 1). [hyper(228,a,5619,a(flip),b,10409,a)]. given #9458 (H,wt=26): 10412 K((x / R(1 / y,y,z)) \ 1,y \ 1) = K(z / (x * (y * z)),y \ 1). [hyper(5424,a,10411,a)]. given #9459 (H,wt=24): 10413 K(R(1 / x,x,y) / z,x \ 1) = K(y / (z * (x * y)),x \ 1). [hyper(6063,a,10412,a)]. given #9460 (H,wt=24): 10415 K(x \ R(1 / y,y,z),y \ 1) = K(z / (x * (y * z)),y \ 1). [hyper(7643,a,10413,a)]. given #9461 (H,wt=23): 10417 K(x / (y * (z * x)),z \ 1) = K(y \ (x / (z * x)),z \ 1). [para(162(a,1),10415(a,1,1,2)),flip(a)]. given #9462 (H,wt=23): 10418 K(x / (y * (z * x)),z \ 1) = K(y \ ((z * x) \ x),z \ 1). [hyper(228,a,8573,a(flip),b,10417,a)]. given #9463 (H,wt=24): 10416 K(x \ R(y \ 1,y,z),y \ 1) = K(z / (x * (y * z)),y \ 1). [hyper(228,a,5894,a(flip),b,10415,a(flip)),flip(a)]. given #9464 (H,wt=30): 10419 K(x / (y * ((z \ 1) * x)),(z \ 1) \ 1) != u | K(y \ (x / ((z \ 1) * x)),z) = u. [para(10417(a,2),6218(a,1))]. given #9465 (H,wt=32): 6183 R(x,x \ 1,y \ R(y,x \ 1,y)) = (y \ R(y,x \ 1,y)) / (T(y * (x \ 1),y) / y). [para(6182(a,1),159(a,2,2))]. given #9466 (H,wt=15): 10420 R(x,x \ 1,y \ R(y,x \ 1,y)) = x. [hyper(228,a,9978,a(flip),b,6183,a)]. given #9467 (H,wt=13): 10422 R(x,x \ 1,a(y,x \ 1,y)) = x. [para(8875(a,1),10420(a,1,3))]. given #9468 (H,wt=19): 10423 (x \ 1) * a(y,x \ 1,y) = x \ a(y,x \ 1,y). [para(10422(a,1),391(a,1,1)),flip(a)]. given #9469 (H,wt=20): 10424 T(x \ a(y,x \ 1,y),y) = y \ T(y * (x \ 1),y). [para(10423(a,1),8899(a,1,1))]. given #9470 (H,wt=32): 6186 T(x,L(x * (y \ z),x \ 1,y) \ 1) = T(x,x \ (((x \ 1) * ((y * (x \ 1)) \ z)) \ 1)). [para(1128(a,1),6184(a,1,2,2,1)),flip(a)]. given #9471 (H,wt=26): 10426 T(x,L(x * (y \ z),x \ 1,y) \ 1) = T(x,((y * (x \ 1)) \ z) \ 1). [hyper(228,a,6188,a(flip),b,6186,a)]. given #9472 (H,wt=24): 10427 T(x,L(x * (y \ z),x \ 1,y) \ 1) = T(x,z \ (y * (x \ 1))). [hyper(228,a,5675,a(flip),b,10426,a)]. given #9473 (H,wt=17): 10428 T(x,y \ (z * (x \ 1))) = T(x,y \ (x \ z)). [hyper(228,a,10162,a(flip),b,10427,a(flip))]. given #9474 (H,wt=17): 10430 T(x,(y / (x \ 1)) \ z) = T(x,y \ (x \ z)). [hyper(228,a,9632,a,b,10428,a(flip)),flip(a)]. given #9475 (H,wt=17): 10431 T(x,((x \ 1) \ y) \ z) = T(x,y \ (x \ z)). [hyper(228,a,9347,a(flip),b,10430,a(flip)),flip(a)]. given #9476 (H,wt=21): 10432 T(x,(y * (x \ 1)) \ (x \ z)) = T(x,T(y,x \ 1) \ z). [para(32(a,2),10431(a,1,2,1)),flip(a)]. given #9477 (H,wt=20): 10433 T(x,R(y,x \ 1,x) \ z) = T(x,T(y,x \ 1) \ z). [hyper(228,a,9093,a(flip),b,10432,a(flip)),flip(a)]. given #9478 (H,wt=16): 10434 T(x,R(y,x \ 1,x) \ z) = T(x,y \ z). [hyper(228,a,9344,a(flip),b,10433,a)]. given #9479 (H,wt=17): 10435 T(x,(y * (x \ 1)) \ z) = T(x,y \ (x * z)). [hyper(228,a,9055,a(flip),b,10434,a(flip)),flip(a)]. given #9480 (H,wt=32): 7431 R(K(R(x,y,z),u),w,L(x,w,K(R(x,y,z),u))) = (K(R(x,y,z),u) * (w * x)) / (w * x). [para(7430(a,1),449(a,1,2,2)),flip(a)]. given #9481 (H,wt=24): 10436 R(K(R(x,y,z),u),w,L(x,w,K(R(x,y,z),u))) = K(R(x,y,z),u). [hyper(228,a,15,a(flip),b,7431,a)]. given #9482 (H,wt=16): 10438 R(K(R(x,y,z),u),w,x) = K(R(x,y,z),u). [para(7430(a,1),10436(a,1,3))]. given #9483 (H,wt=32): 8043 (T(T(x,y),T(z,y)) * u) / (T(K(x,y),T(x,z)) * u) = R(T(x,z),T(K(x,y),T(x,z)),u). [para(7932(a,2),180(a,1,1,1))]. given #9484 (H,wt=28): 10439 R(T(x,y),T(K(x,z),T(x,y)),u) = (T(T(x,z),T(y,z)) * u) / (K(x,z) * u). [para(3165(a,1),8043(a,1,2,1)),flip(a)]. given #9485 (H,wt=24): 10440 (T(T(x,y),T(z,y)) * u) / (K(x,y) * u) = R(T(x,z),K(x,y),u). [para(3165(a,1),10439(a,1,2)),flip(a)]. given #9486 (H,wt=32): 8528 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(8154(a,2),7734(a,2,1))]. given #9487 (H,wt=27): 10444 K(x * R(y,z,u),y) * K(y,K(w,x)) = T(K(x * R(y,z,u),T(y,x)),w). [para(9112(a,1),8528(a,1,2))]. given #9488 (H,wt=27): 10445 K(x * R(y,z,u),y) * K(x,K(y,w)) = T(K(x * R(y,z,u),T(y,x)),w). [para(7728(a,1),10444(a,1,2))]. given #9489 (H,wt=25): 10447 K(x * R(y,z,u),y) * K(x,K(y,w)) = T(K(x * R(y,z,u),y),w). [para(8154(a,1),10445(a,2,1))]. given #9490 (H,wt=24): 10448 a(x,y,R(x,z,u)) * T(K(y,x),w) = T(K(y * R(x,z,u),x),w). [hyper(228,a,10078,a(flip),b,10447,a(flip)),flip(a)]. given #9491 (H,wt=24): 10449 T(K(x * R(y,z,u),y),w) * T(K(y,x),w) = a(y,x,R(y,z,u)). [hyper(9985,a,10448,a)]. given #9492 (H,wt=22): 10450 T(K(x,y) * K(y * R(x,z,u),x),w) = a(x,y,R(x,z,u)). [hyper(10055,a,10449,a)]. given #9493 (H,wt=32): 8706 K(x,L(y,((z \ x) \ x) \ 1,(z \ x) \ x) \ z) = K(x,((((z \ x) \ x) \ 1) * y) \ 1). [hyper(5779,a,8704,a),flip(a)]. given #9494 (H,wt=32): 8748 K(T(x \ (L(y,z,u) * w),L(y,z,u) \ x),y) = K((((L(y,z,u) \ x) \ w) \ w) \ w,y). [para(3987(a,1),8746(a,1,1))]. given #9495 (H,wt=32): 8909 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(7593(a,1),8891(a,1,2))]. given #9496 (H,wt=24): 10452 K(T(x,y * z) * z,T(x,y * z)) = a(x,z,x) * K(z,T(x,y)). [para(10284(a,1),8909(a,1,1)),flip(a)]. given #9497 (H,wt=18): 10453 a(x,y,x) * K(y,T(x,z)) = K(x * y,T(x,z)). [hyper(9529,a,10452,a),flip(a)]. given #9498 (H,wt=18): 10455 K(x * y,T(x,z)) * K(x,T(y,z)) = a(x,y,x). [hyper(7236,a,10453,a)]. given #9499 (H,wt=24): 10456 K(x * T(y,z),T(x,u)) * K(x,T(T(y,u),z)) = a(x,T(y,z),x). [para(38(a,1),10455(a,1,2,2))]. given #9500 (H,wt=27): 10460 a(x,T(y,z),x) != u * K(x,T(T(y,w),z)) | K(x * T(y,z),T(x,w)) = u. [para(10456(a,1),20(a,1))]. given #9501 (H,wt=32): 9054 R(T(x,K(y,z)),K(z,y),x) \ T(K(z,y) * x,T(x,K(y,z))) = T(K(z,y),T(x,K(y,z))). [para(5981(a,1),7442(a,1,2,1))]. given #9502 (H,wt=28): 10461 R(T(x,K(y,z)),K(z,y),x) \ T(K(z,y) * x,x) = T(K(z,y),T(x,K(y,z))). [para(7567(a,1),9054(a,1,2))]. given #9503 (H,wt=24): 10462 R(T(x,K(y,z)),K(z,y),x) \ T(K(z,y) * x,x) = K(z,T(y,x)). [hyper(228,a,7991,a(flip),b,10461,a)]. given #9504 (H,wt=32): 9080 K(L(x,y * z,u),(u \ (u * (x * y))) \ (x * (y * z))) = K(x,L(L(z,y,x),x * y,u)). [para(447(a,1),8842(a,2,2))]. given #9505 (H,wt=28): 10464 K(L(x,y * z,u),(x * y) \ (x * (y * z))) = K(x,L(L(z,y,x),x * y,u)). [para(13(a,1),9080(a,1,2,1))]. given #9506 (H,wt=23): 10466 K(L(x,y * z,u),L(z,y,x)) = K(x,L(L(z,y,x),x * y,u)). [para(28(a,2),10464(a,1,2))]. given #9507 (H,wt=20): 10467 K(L(x,y * z,u),z) = K(x,L(L(z,y,x),x * y,u)). [hyper(8299,a,10466,a)]. given #9508 (H,wt=17): 10468 K(L(x,y * z,u),z) = K(x,L(z,x * y,u)). [hyper(228,a,7026,a(flip),b,10467,a)]. given #9509 (H,wt=17): 10471 K(L(x,(x \ y) * z,u),z) = K(x,L(z,y,u)). [para(14(a,1),10468(a,2,2,2))]. given #9510 (H,wt=16): 10473 K(x,y \ K(z,L(x,u,w))) = K(x,y \ 1). [para(10471(a,1),7132(a,1,2,2))]. given #9511 (H,wt=19): 10475 K(x,y \ K(z,L(L(x,u,w),v5,v6))) = K(x,y \ 1). [para(10471(a,1),10473(a,1,2,2))]. given #9512 (H,wt=21): 10474 K(x,(T(L(x,y,z),u) \ w) \ 1) = K(x,w \ L(x,y,z)). [hyper(228,a,6417,a(flip),b,10473,a(flip))]. given #9513 (H,wt=21): 10476 K(x,(L(T(x,y),z,u) \ w) \ 1) = K(x,w \ L(x,z,u)). [para(40(a,2),10474(a,1,2,1,1))]. given #9514 (H,wt=19): 10477 K(x,y \ L(T(x,z),u,w)) = K(x,y \ L(x,u,w)). [hyper(5671,a,10476,a)]. given #9515 (H,wt=29): 10472 K(L(x,T(y * (x \ z),y),u),R(y,x \ z,y)) = K(x,L(R(y,x \ z,y),z,u)). [para(4040(a,1),10471(a,1,1,2))]. given #9516 (H,wt=24): 10480 K(L(x,T(y * (x \ z),y),u),y) = K(x,L(R(y,x \ z,y),z,u)). [hyper(7099,a,10472,a)]. given #9517 (H,wt=22): 10482 K(x,L(R(y,x \ z,y),z,u)) = K(L(x,y * (x \ z),u),y). [hyper(228,a,10320,a(flip),b,10480,a(flip))]. given #9518 (H,wt=32): 9303 (x * (y * z)) \ ((y * z) * T(x * K(z,y),y * z)) = L(K(z,y),T(x,y * z),y * z). [para(9302(a,2),178(a,1,2,2))]. given #9519 (H,wt=28): 10483 (x * (y * z)) \ ((x * K(z,y)) * (y * z)) = L(K(z,y),T(x,y * z),y * z). [para(113(a,1),9303(a,1,2))]. given #9520 (H,wt=28): 10484 K(x,((y / z) * (z * x)) \ (y * (z * x))) = L(K(x,z),T(y,z * x),z * x). [hyper(9731,a,10483,a)]. given #9521 (H,wt=28): 10485 K(x,((y / z) * z) \ (x \ (y * (z * x)))) = L(K(x,z),T(y,z * x),z * x). [hyper(9065,a,10484,a)]. given #9522 (H,wt=24): 10486 L(K(x,y),T(z,y * x),y * x) = K(x,z \ (x \ (z * (y * x)))). [para(16(a,1),10485(a,1,2,1)),flip(a)]. given #9523 (H,wt=19): 10487 L(K(x,y),T(z,y * x),y * x) = K(x,L(y,x,z)). [hyper(228,a,8670,a(flip),b,10486,a)]. given #9524 (H,wt=23): 10488 K(x,L(y,x,((y * x) * z) / (y * x))) = L(K(x,y),z,y * x). [para(165(a,1),10487(a,1,2)),flip(a)]. given #9525 (H,wt=32): 9304 (x * (y * z)) * L(K(z,y),T(x,y * z),y * z) = (y * z) * T(x * K(z,y),y * z). [para(9302(a,2),453(a,2,2))]. given #9526 (H,wt=26): 10489 (x * (y * z)) * K(z,L(y,z,x)) = (y * z) * T(x * K(z,y),y * z). [para(10487(a,1),9304(a,1,2))]. given #9527 (H,wt=19): 10490 (x * y) * T(z * K(y,x),x * y) = z * (y * x). [hyper(228,a,6344,a(flip),b,10489,a(flip))]. given #9528 (H,wt=15): 10491 (x * (y * z)) / (z * y) = x * K(y,z). [hyper(72,a,10490,a(flip),b,113,a(flip))]. given #9529 (H,wt=15): 10493 (x / (y * z)) * K(y,z) = x / (z * y). [hyper(228,a,225,a(flip),b,10491,a(flip))]. given #9530 (H,wt=17): 10494 (x / y) * K(y / z,z) = x / (z * (y / z)). [para(16(a,1),10493(a,1,1,2))]. given #9531 (H,wt=18): 10496 K(x,y / (z * x)) != u | K(x,y / (x * z)) = u. [para(10493(a,1),7129(a,1,2))]. given #9532 (H,wt=19): 10497 1 / ((x * ((x / y) \ 1)) / x) = x / (x * (y / x)). [hyper(228,a,9168,a,b,10494,a(flip)),flip(a)]. given #9533 (H,wt=19): 10498 (x * ((x / y) \ 1)) / x = (x / (x * (y / x))) \ 1. [para(10497(a,1),64(a,1,1)),flip(a)]. given #9534 (H,wt=23): 10499 x / (x * (((y / x) \ 1) \ 1)) = ((x * ((x / y) \ 1)) / x) \ 1. [para(10498(a,2),3114(a,2,1))]. given #9535 (H,wt=32): 9464 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(6445(a,1),9463(a,1,2))]. given #9536 (H,wt=32): 9726 K(x,K(y,R(z \ R(z,u,w),z,u * w) \ 1)) = K(x,K(a(z,u,w),T(y,z * (u * w)))). [para(9653(a,1),8073(a,2,2))]. given #9537 (H,wt=30): 10502 K(x,R(K(y,R(z,u,w) \ z),z,u * w)) = K(x,K(a(z,u,w),T(y,z * (u * w)))). [para(6909(a,1),9726(a,1,2))]. given #9538 (H,wt=30): 10503 K(x,K(R(y,z,u) \ y,R(w,y,z * u))) = K(x,K(a(y,z,u),T(w,y * (z * u)))). [hyper(228,a,8991,a(flip),b,10502,a(flip)),flip(a)]. given #9539 (H,wt=32): 10001 T(L(K(x,y),z,u) * T(w,L(K(x,y),z,u)),K(x,v5)) = T(w,K(x,v5)) * L(K(x,y),z,u). [hyper(228,a,182,a(flip),b,10000,a)]. given #9540 (H,wt=25): 10504 T(x * L(K(y,z),u,w),K(y,v5)) = T(x,K(y,v5)) * L(K(y,z),u,w). [para(113(a,1),10001(a,1,1))]. given #9541 (H,wt=32): 10045 (K(x,y) * (K(y,z) * u)) / (K(x,y) * K(y,z)) != w | u * K(K(x,y) * K(y,z),u) = w. [para(10037(a,1),4745(a,1,1))]. given #9542 (H,wt=32): 10235 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(10234(a,1),8690(a,2,1))]. given #9543 (H,wt=30): 10506 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(10230(a,1),10235(a,1,2,1))]. given #9544 (H,wt=32): 10451 K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K(u \ (L(x,y,z) * w),T(x,L(x,y,z) \ u)). [hyper(7637,a,8748,a),flip(a)]. given #9545 (H,wt=27): 10509 K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K(u \ (L(x,y,z) * w),T(x,u)). [hyper(228,a,9511,a(flip),b,10451,a)]. given #9546 (H,wt=25): 10511 K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K((L(x,y,z) * w) / u,x). [hyper(228,a,7837,a(flip),b,10509,a)]. given #9547 (H,wt=32): 10505 (K(x,y) * (K(y,z) * u)) * (K(y,x) * K(z,y)) != w | u * K(K(x,y) * K(y,z),u) = w. [para(8943(a,1),10045(a,1))]. given #9548 (H,wt=33): 4131 (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(3949(a,1),176(a,1,1,2))]. given #9549 (H,wt=31): 10512 (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(1227(a,1),4131(a,1,1))]. given #9550 (H,wt=29): 10513 (R(x,y,z) * (u * x)) \ ((R(x,y,z) * u) * x) = a(x,T(u,x),R(T(x,u),y,z)). [para(1245(a,1),10512(a,1,2))]. given #9551 (H,wt=19): 10514 a(x,T(y,x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(663,a,10513,a),flip(a)]. given #9552 (H,wt=25): 10515 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(228,a,4222,a,b,10514,a(flip)),flip(a)]. given #9553 (H,wt=23): 10516 a(T(x,y),T(T(y,x),x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [para(3921(a,1),10515(a,1,1))]. given #9554 (H,wt=21): 10517 a(T(x,y),T(y,x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(228,a,10089,a(flip),b,10516,a(flip)),flip(a)]. given #9555 (H,wt=17): 10518 a(x,y,R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(4223,a,10517,a)]. given #9556 (H,wt=25): 10519 R(T(x,y),y,R(T(x,y),z,u)) \ T(x,y) = a(R(x,z,u),y,x) \ 1. [para(10518(a,1),10090(a,2,1))]. given #9557 (H,wt=23): 10520 a(T(x,y),y,R(T(x,y),z,u)) \ 1 = a(R(x,z,u),y,x) \ 1. [hyper(228,a,10070,a(flip),b,10519,a(flip)),flip(a)]. given #9558 (H,wt=19): 10521 a(R(x,y,z),u,x) \ 1 = a(x,u,R(x,y,z)) \ 1. [para(10240(a,1),10520(a,1,1)),flip(a)]. given #9559 (H,wt=33): 5055 R(K(x,y) * R(K(y,x),z,u),K(y,x),z * u) = ((K(y,x) * z) * u) / (K(y,x) * (z * u)). [para(5035(a,1),3520(a,1,1))]. given #9560 (H,wt=33): 5689 ((x * y) \ x) \ T(((x * y) \ x) * z,y) = ((((x * y) \ x) \ 1) \ z) * (((x * y) \ x) \ 1). [hyper(71,a,5680,a(flip),b,948,a)]. given #9561 (H,wt=33): 7659 ((x * (y \ K(x,z))) * (1 / K(x,z))) * (y / x) = K((y / x) \ K(x,z),K(x,z) \ (y / x)). [para(7658(a,1),6853(a,1,1,1))]. given #9562 (H,wt=31): 10523 K((x / y) \ K(y,z),K(y,z) \ (x / y)) = ((y * (x \ K(y,z))) * K(z,y)) * (x / y). [para(4894(a,1),7659(a,1,1,2)),flip(a)]. given #9563 (H,wt=31): 10524 K((x / y) \ K(y,z),K(y,z) \ (x / y)) = (y * ((x \ K(y,z)) * K(z,y))) * (x / y). [para(7116(a,1),10523(a,2,1))]. given #9564 (H,wt=25): 10525 K((x / y) \ K(y,z),K(y,z) \ (x / y)) = (y * (x \ 1)) * (x / y). [para(4895(a,1),10524(a,2,1,2))]. given #9565 (H,wt=23): 10526 K((x / y) \ K(y,z),K(y,z) \ (x / y)) = K(x \ y,y \ x). [hyper(228,a,5939,a(flip),b,10525,a)]. given #9566 (H,wt=23): 10528 K(x * (y \ K(x,z)),K(x,z) \ (y / x)) = K(y \ x,x \ y). [para(7658(a,1),10526(a,1,1))]. given #9567 (H,wt=33): 8902 (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) != w | L(L(a(u,z,u),z,y),y * z,x) = w. [para(8883(a,2),769(a,1,2,2,2))]. given #9568 (H,wt=33): 8965 K(L(x,y,z),u \ ((1 / x) \ L(K(w,v5),v6,v7))) = K(L(x,y,z),(x \ u) \ L(K(w,v5),v6,v7)). [para(5240(a,2),8300(a,2,2,2)),flip(a)]. given #9569 (H,wt=28): 10529 K(L(x,y,z),u \ ((1 / x) \ L(K(x,w),v5,v6))) = K(L(x,y,z),(x \ u) \ 1). [hyper(228,a,9986,a(flip),b,8965,a)]. given #9570 (H,wt=26): 10530 K(L(x,y,z),u \ ((1 / x) \ L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). [hyper(228,a,5558,a(flip),b,10529,a)]. given #9571 (H,wt=24): 10531 K(L(x,y,z),u \ (x * L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). [para(5240(a,1),10530(a,1,2,2))]. given #9572 (H,wt=33): 9035 K(x,T(y / ((K(x,z) * u) * w),v5)) = ((v5 * x) / v5) / ((v5 * (x * K(y / (u * w),x))) / v5). [para(8806(a,1),9033(a,1,2,1,2,2)),flip(a)]. given #9573 (H,wt=23): 10532 K(x,T(y / ((K(x,z) * u) * w),v5)) = K(x,T(y / (u * w),v5)). [hyper(228,a,9033,a(flip),b,9035,a)]. given #9574 (H,wt=25): 10533 K(x,T(y / ((z * T(x,u)) * w),v5)) = K(x,T(y / ((z * x) * w),v5)). [para(8225(a,1),10532(a,1,2,1,2,1))]. given #9575 (H,wt=33): 9654 K(x,a(y,z,u)) * K(x,K(a(y,z,u),y * (z * u))) = K(x,((y * z) * u) / (y * (z * u))). [hyper(228,a,7706,a,b,7909,a),flip(a)]. given #9576 (H,wt=33): 9878 T((x / (1 / (x \ y))) / x,K(y,x / y) / (x \ y)) = (((x / (1 / (x \ y))) / x) \ 1) \ 1. [para(9877(a,2),1909(a,1,2))]. given #9577 (H,wt=29): 10534 T((x / (1 / (x \ y))) / x,1 / (y / x)) = (((x / (1 / (x \ y))) / x) \ 1) \ 1. [hyper(228,a,9285,a(flip),b,9878,a(flip)),flip(a)]. given #9578 (H,wt=29): 10535 T((x / (1 / (x \ y))) / x,1 / (y / x)) = (1 / ((x / ((x \ y) \ 1)) / x)) \ 1. [para(2864(a,2),10534(a,2,1))]. given #9579 (H,wt=25): 10536 T((x / (1 / (x \ y))) / x,1 / (y / x)) = (x / ((x \ y) \ 1)) / x. [hyper(228,a,64,a(flip),b,10535,a)]. given #9580 (H,wt=19): 10538 (x / ((x \ y) \ 1)) / x = x \ (x / ((y / x) \ 1)). [hyper(228,a,6288,a(flip),b,10536,a(flip))]. given #9581 (H,wt=19): 10539 x * ((x / ((x \ y) \ 1)) / x) = x / ((y / x) \ 1). [para(10538(a,2),14(a,1,2))]. given #9582 (H,wt=33): 9907 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K((x \ 1) \ 1,(z * (L(y,x \ 1,x) / x)) \ u). [para(9452(a,1),9431(a,1,1))]. given #9583 (H,wt=28): 10540 K((x \ 1) \ 1,(y * (L(z,x \ 1,x) / x)) \ u) = K(x,(y * (x \ z)) \ u). [hyper(8419,a,9907,a),flip(a)]. given #9584 (H,wt=24): 10541 K(x,(y * (L(z,x \ 1,x) / x)) \ u) = K(x,(y * (x \ z)) \ u). [hyper(4948,a,10540,a)]. given #9585 (H,wt=24): 10542 K(x,(y * (x \ L(z,x \ 1,x))) \ u) = K(x,(y * (x \ z)) \ u). [hyper(9742,a,10541,a)]. given #9586 (H,wt=21): 10543 K(x,(y * ((x \ 1) * z)) \ u) = K(x,(y * (x \ z)) \ u). [para(396(a,1),10542(a,1,2,1,2))]. given #9587 (H,wt=19): 10544 K(x,(y * (x \ z)) \ u) = K(x,(y * z) \ (u * x)). [hyper(228,a,9672,a(flip),b,10543,a(flip))]. given #9588 (H,wt=17): 10547 K(x,(y * (x \ 1)) \ z) = K(x,y \ (z * x)). [para(12(a,1),10544(a,2,2,1))]. given #9589 (H,wt=17): 10552 K(x,((x \ 1) * y) \ z) = K(x,y \ (z * x)). [hyper(228,a,9449,a,b,10547,a(flip)),flip(a)]. given #9590 (H,wt=19): 10545 K(x,(y * (z / x)) \ u) = K(x,(y * z) \ (u * x)). [hyper(228,a,8615,a,b,10544,a(flip)),flip(a)]. given #9591 (H,wt=20): 10553 L(K(x,x * (y \ z)),y \ z,y) = K(x,y \ (z * x)). [hyper(228,a,6371,a,b,10547,a(flip)),flip(a)]. given #9592 (H,wt=21): 10554 K(T(x,y),y \ (z * T(x,y))) = K(x,z / ((x \ 1) * y)). [hyper(228,a,9752,a(flip),b,10552,a(flip))]. given #9593 (H,wt=19): 10555 K(x,(y * T(x,z)) / z) = K(x,y / ((x \ 1) * z)). [hyper(7976,a,10554,a)]. given #9594 (H,wt=17): 10556 K(x,y / ((x \ 1) * z)) = K(x,y / (x \ z)). [hyper(8800,a,10555,a),flip(a)]. given #9595 (H,wt=24): 10546 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K(x,(z * y) \ (u * x)). [hyper(228,a,8418,a,b,10544,a(flip)),flip(a)]. given #9596 (H,wt=25): 10548 K(x,((y * K(x \ z,y)) * z) \ (u * x)) = K(x,((x \ z) * y) \ u). [para(4715(a,1),10544(a,1,2,1)),flip(a)]. given #9597 (H,wt=25): 10549 (x \ 1) / (x \ K(x,(y * z) \ (u * x))) = K((y * (z / x)) \ u,x). [para(10544(a,1),8609(a,1,2,2))]. given #9598 (H,wt=19): 10559 K((x * (y / z)) \ u,z) = K((x * y) \ (u * z),z). [hyper(5174,a,10549,a),flip(a)]. given #9599 (H,wt=19): 10560 K((x * (y \ z)) \ u,y) = K((x * z) \ (u * y),y). [hyper(9586,a,10559,a)]. given #9600 (H,wt=17): 10562 K((x * (y \ 1)) \ z,y) = K(x \ (z * y),y). [para(12(a,1),10560(a,2,1,1))]. given #9601 (H,wt=18): 10564 L(K(x * y,x),y,z) = K(z \ ((z * y) * x),x). [hyper(228,a,6334,a,b,10562,a(flip)),flip(a)]. given #9602 (H,wt=20): 10563 L(K(x * (y \ z),x),y \ z,y) = K(y \ (z * x),x). [hyper(228,a,6384,a,b,10562,a(flip)),flip(a)]. given #9603 (H,wt=22): 10561 K((x * y) \ (z * u),u) != w | K((x * (u \ y)) \ z,u) = w. [para(10559(a,1),9586(a,1))]. given #9604 (H,wt=24): 10565 K(x,x * y) * K(z \ ((z * y) * x),x) = a(z,y,K(x,x * y)). [para(10564(a,1),9676(a,1,2))]. given #9605 (H,wt=24): 10566 K(x,y \ ((y * z) * x)) * a(y,z,K(x,x * z)) = K(x,x * z). [para(10565(a,1),5075(a,1,2))]. given #9606 (H,wt=18): 10567 L(K(x,x * y),y,z) = K(x,z \ ((z * y) * x)). [hyper(9695,a,10566,a)]. given #9607 (H,wt=18): 10568 L(K(x,y * x),y,z) = K(x,z \ ((z * y) * x)). [para(5433(a,2),10567(a,1,1))]. given #9608 (H,wt=23): 10569 L(K(L(x,y,z),y * L(x,y,z)),y,z) = K(L(x,y,z),y * x). [para(209(a,1),10568(a,2,2))]. given #9609 (H,wt=20): 10570 L(K(L(x,y,z),y * L(x,y,z)),y,z) = K(x,x * y). [hyper(228,a,6615,a(flip),b,10569,a)]. given #9610 (H,wt=26): 10557 K(x,(((x \ 1) * y) * z) / (x \ z)) = K(T(x,x \ 1),R(y,x \ 1,z)). [hyper(228,a,7853,a(flip),b,10556,a(flip))]. given #9611 (H,wt=22): 10572 K(x,(((x \ 1) * y) * z) / (x \ z)) = K(x,R(y,x \ 1,z)). [hyper(228,a,2861,a(flip),b,10557,a)]. given #9612 (H,wt=22): 10573 K(x,(y / (((x \ 1) * z) * y)) \ x) = K(x,R(z,x \ 1,y)). [hyper(8376,a,10572,a)]. given #9613 (H,wt=27): 10558 K(x,(((K(y,x \ z) / y) \ 1) * z) \ (u * x)) = K(x,((x \ z) * y) \ u). [para(4896(a,2),10548(a,1,2,1,1))]. given #9614 (H,wt=27): 10575 K(x,((1 / (K(y,x \ z) / y)) * z) \ (u * x)) = K(x,((x \ z) * y) \ u). [hyper(228,a,5392,a,b,10558,a(flip)),flip(a)]. given #9615 (H,wt=28): 10550 L(K(x,(y * z) \ ((u \ w) * x)),u \ w,u) = K(x,(u * (y * (z / x))) \ w). [para(10544(a,1),8651(a,1,1))]. given #9616 (H,wt=23): 10576 K(x,(y * (z * (u / x))) \ w) = K(x,(y * (z * u)) \ (w * x)). [hyper(228,a,10546,a(flip),b,10550,a(flip))]. given #9617 (H,wt=28): 10574 R(K(x,(x \ 1) \ y),y,z) = K(x,(z / (((x \ 1) * ((x \ 1) \ y)) * z)) \ x). [hyper(228,a,9183,a,b,10573,a),flip(a)]. given #9618 (H,wt=26): 10578 R(K(x,x * y),y,z) = K(x,(z / (((x \ 1) * ((x \ 1) \ y)) * z)) \ x). [para(5548(a,1),10574(a,1,1))]. given #9619 (H,wt=18): 10579 R(K(x,x * y),y,z) = K(x,(z / (y * z)) \ x). [para(14(a,1),10578(a,2,2,1,2,1))]. given #9620 (H,wt=19): 10580 K(x,R(y \ 1,y,z) \ x) = R(K(x,x * y),y,z). [hyper(228,a,5577,a,b,10579,a),flip(a)]. given #9621 (H,wt=21): 10582 T(x,R(y \ 1,y,z) \ x) = x * R(K(x,x * y),y,z). [para(10580(a,1),4705(a,2,2))]. given #9622 (H,wt=31): 10577 K(x,(y * (z / x)) \ (u \ (y * (z / x)))) = K(x,(u * (y * z)) \ ((y * (x \ z)) * x)). [hyper(228,a,8653,a(flip),b,10576,a(flip)),flip(a)]. given #9623 (H,wt=27): 10583 K(x,(y * (z * u)) \ ((z * (x \ u)) * x)) = K(x,T(y \ 1,z * (u / x))). [hyper(228,a,8214,a,b,10577,a(flip))]. given #9624 (H,wt=25): 10584 K(x,(y * (z * u)) \ ((z * (x \ u)) * x)) = K(x,T(y \ 1,z * u)). [hyper(228,a,9127,a(flip),b,10583,a)]. given #9625 (H,wt=25): 10585 K(x,T((y / (z * u)) \ 1,z * u)) = K(x,y \ ((z * (x \ u)) * x)). [para(16(a,1),10584(a,1,2,1)),flip(a)]. given #9626 (H,wt=21): 10586 K(x,y \ ((z * (x \ u)) * x)) = K(x,((z * u) \ y) \ 1). [hyper(228,a,7281,a(flip),b,10585,a(flip))]. given #9627 (H,wt=19): 10587 K(x,y \ ((z * (x \ u)) * x)) = K(x,y \ (z * u)). [hyper(228,a,5558,a(flip),b,10586,a)]. given #9628 (H,wt=15): 10588 K(x,x \ (y * z)) = K(x,y * (x \ z)). [hyper(4942,a,10587,a),flip(a)]. given #9629 (H,wt=15): 10589 K(x,y \ ((x \ y) * z)) = K(x,x \ z). [hyper(228,a,8417,a(flip),b,10587,a(flip))]. given #9630 (H,wt=15): 10590 K(x,x \ (y * (x * z))) = K(x,y * z). [para(13(a,1),10588(a,2,2,2))]. given #9631 (H,wt=15): 10593 K(x,x \ (y * (z * x))) = K(x,y * z). [hyper(228,a,8630,a,b,10590,a(flip)),flip(a)]. given #9632 (H,wt=16): 10592 L(K(x,x \ y),y,x \ z) = K(x,x \ y). [hyper(8752,a,10589,a)]. given #9633 (H,wt=14): 10595 L(K(x,x \ y),y,z) = K(x,x \ y). [para(13(a,1),10592(a,1,3))]. given #9634 (H,wt=10): 10598 a(x,y,K(z \ y,z)) = 1. [hyper(70,a,10595,a(flip),b,9681,a),flip(a)]. given #9635 (H,wt=14): 10599 L(K(x \ y,x),y,z) = K(x \ y,x). [hyper(33,a,10598,a)]. given #9636 (H,wt=15): 10596 K(x,y \ (x \ (y * z))) = K(x,x \ z). [hyper(8351,a,10595,a)]. given #9637 (H,wt=15): 10597 K(x,(y * x) \ z) = K(x,x \ (y \ z)). [hyper(6781,a,10595,a)]. given #9638 (H,wt=15): 10600 K(x \ (y \ (x * z)),y) = K(y \ z,y). [hyper(8359,a,10599,a)]. given #9639 (H,wt=15): 10602 K(x,y \ (x \ z)) = K(x,x \ (y \ z)). [para(14(a,1),10596(a,1,2,2,2))]. given #9640 (H,wt=15): 10605 K(x \ (y \ z),y) = K(y \ (x \ z),y). [para(14(a,1),10600(a,1,1,2,2))]. given #9641 (H,wt=15): 10612 K(x \ ((x \ y) \ z),x) = K(y \ z,x). [hyper(228,a,7476,a(flip),b,10605,a(flip))]. given #9642 (H,wt=17): 10594 K(x,K(y,z * (u * y))) = K(x,K(y,z * u)). [para(10593(a,1),7807(a,1,2)),flip(a)]. given #9643 (H,wt=17): 10603 K(x,x \ ((y \ 1) \ z)) = K(x,(x \ y) * z). [hyper(6363,a,10597,a),flip(a)]. given #9644 (H,wt=17): 10606 (x * y) * K(z \ y,z) = x * ((z \ y) * z). [para(10600(a,1),8447(a,1,2))]. given #9645 (H,wt=10): 10617 R(x,y,K(z \ y,z)) = x. [hyper(775,a,10606,a)]. given #9646 (H,wt=10): 10620 R(x,y * z,K(z,y)) = x. [para(13(a,1),10617(a,1,3,1))]. given #9647 (H,wt=11): 10621 R(x,y,T(z,y)) = R(x,y,z). [hyper(6802,a,10620,a)]. given #9648 (H,wt=13): 10619 R(x,y / z,z) = R(x,z \ y,z). [hyper(228,a,10299,a(flip),b,10617,a(flip))]. given #9649 (H,wt=15): 10622 (x * (y * z)) * K(z,y) = x * (z * y). [para(10620(a,1),486(a,1,1)),flip(a)]. given #9650 (H,wt=10): 10633 K(x,L(y,x,z)) = K(x,y). [hyper(6345,a,10622,a)]. given #9651 (H,wt=10): 10635 K(L(x,y,z),y) = K(x,y). [hyper(8958,a,10633,a)]. given #9652 (H,wt=12): 10638 L(K(x,y),z,y * x) = K(x,y). [hyper(228,a,10488,a(flip),b,10633,a(flip)),flip(a)]. given #9653 (H,wt=15): 10628 R(x,y,K(z,T(u,y))) = R(x,y,K(z,u)). [para(7152(a,2),10621(a,1,3))]. given #9654 (H,wt=17): 10607 K(x,x \ ((1 / y) \ z)) = K(x,y * (x \ z)). [hyper(6171,a,10602,a),flip(a)]. given #9655 (H,wt=17): 10608 K(x,x \ ((y \ 1) \ z)) = K(x,y * (x \ z)). [hyper(6168,a,10602,a),flip(a)]. given #9656 (H,wt=15): 10647 K(x,(x \ y) * z) = K(x,y * (x \ z)). [hyper(228,a,10603,a(flip),b,10608,a(flip)),flip(a)]. given #9657 (H,wt=15): 10648 K(x,x \ (y * z)) = K(x,(x \ y) * z). [hyper(228,a,10588,a,b,10647,a),flip(a)]. given #9658 (H,wt=17): 10609 K(x,(y \ z) \ (x \ 1)) = K(x,x \ (z \ y)). [hyper(228,a,9207,a,b,10602,a(flip)),flip(a)]. given #9659 (H,wt=17): 10651 K(x,x \ (y * (z \ 1))) = K(x,(x \ y) / z). [hyper(228,a,5415,a(flip),b,10648,a)]. given #9660 (H,wt=19): 10610 K(x,x \ ((y * (x \ z)) \ u)) = K(x,(y * z) \ u). [hyper(228,a,8660,a(flip),b,10602,a(flip))]. given #9661 (H,wt=19): 10616 K(x,K(y / z,u * z)) = K(x,K(y / z,u * y)). [para(7533(a,1),10594(a,1,2)),flip(a)]. given #9662 (H,wt=19): 10646 K(x,y) * ((y * x) * z) = (y * x) * (K(x,y) * z). [para(10638(a,1),9923(a,1,1))]. given #9663 (H,wt=20): 10604 K(x,x \ ((y \ 1) \ z)) != u | K(x,(x \ y) * z) = u. [para(10597(a,1),6363(a,1))]. given #9664 (H,wt=20): 10611 K(x,x \ ((1 / y) \ z)) != u | K(x,y * (x \ z)) = u. [para(10602(a,1),6171(a,1))]. given #9665 (H,wt=20): 10631 R(K(x,(y / z) / u),z \ y,z) = K(x,y / (u * z)). [hyper(228,a,6937,a(flip),b,10619,a(flip))]. given #9666 (H,wt=20): 10641 L(K(x,y),T(y,z) * u,w) = K(L(x,y,v5),L(y,u,w)). [para(10633(a,1),10006(a,1,1))]. given #9667 (H,wt=16): 10655 K(L(x,y,z),L(y,u,w)) = K(x,L(y,u,w)). [hyper(228,a,10004,a(flip),b,10641,a(flip))]. given #9668 (H,wt=20): 10656 L(K(x,y),T(y,z) * u,w) != v5 | K(x,L(y,u,w)) = v5. [para(10641(a,2),7373(a,1))]. given #9669 (H,wt=21): 10658 K(x \ (y \ (x * z)),L(y,u,w)) = K(y \ z,L(y,u,w)). [hyper(228,a,9896,a(flip),b,10655,a(flip)),flip(a)]. given #9670 (H,wt=22): 10634 K(x,y) * (z * (y * x)) != u | T(z * (x * y),K(x,y)) = u. [para(10622(a,1),7959(a,1,2))]. given #9671 (H,wt=22): 10640 T(x,L(y,x,z)) = (u * (K(y,x) * K(x,w))) \ (u * T(x,w)). [para(10633(a,1),8939(a,1,1,2,1)),flip(a)]. given #9672 (H,wt=10): 10661 T(x,L(y,x,z)) = T(x,y). [hyper(228,a,8921,a(flip),b,10640,a)]. given #9673 (H,wt=15): 10666 T(x,y \ (x \ (y * z))) = T(x,x \ z). [hyper(228,a,8203,a(flip),b,10661,a(flip)),flip(a)]. given #9674 (H,wt=15): 10667 L(x,y,z) * T(y,x) = y * L(x,y,z). [para(10661(a,1),113(a,1,2))]. given #9675 (H,wt=18): 10669 L(x,y,z) = (z * T(y,x)) \ (z * (T(y,x) * x)). [para(10661(a,1),6818(a,1,1,2)),flip(a)]. given #9676 (H,wt=11): 10673 L(x,T(y,x),z) = L(x,y,z). [hyper(228,a,28,a,b,10669,a),flip(a)]. given #9677 (H,wt=13): 10675 L(x,y / x,z) = L(x,x \ y,z). [para(115(a,1),10673(a,1,2)),flip(a)]. given #9678 (H,wt=18): 10679 L(x,x \ (y \ z),y) = (y * ((y \ z) / x)) \ z. [hyper(228,a,529,a(flip),b,10675,a(flip))]. given #9679 (H,wt=18): 10680 K(L(x,x \ y,z),u) != w | L(K(x,u),y,z) = w. [para(10675(a,1),6386(a,1,1))]. given #9680 (H,wt=22): 10662 (x * (K(y,z) * K(z,u))) \ (x * T(z,u)) != w | T(z,y) = w. [para(10640(a,1),7081(a,1))]. given #9681 (H,wt=24): 10591 K(x \ 1,y * ((x \ 1) \ z)) != u | K(x \ 1,(y * z) * x) = u. [para(10588(a,1),6174(a,1))]. given #9682 (H,wt=24): 10630 R(K(x,(y / (z / u)) \ x),u \ z,u) = K(x,z / ((x \ y) * u)). [hyper(228,a,8373,a(flip),b,10619,a(flip))]. given #9683 (H,wt=25): 10649 K(T(x,y),(y \ 1) * (T(x,y) \ z)) = K(T(x,y),(y \ (x \ 1)) * z). [para(429(a,1),10647(a,1,2,1)),flip(a)]. given #9684 (H,wt=23): 10681 K(T(x,y),(y \ 1) * (T(x,y) \ z)) = K(T(x,y),(x * y) \ z). [hyper(228,a,5545,a(flip),b,10649,a)]. given #9685 (H,wt=23): 10682 K(T(x,y),(y \ 1) * (T(x,y) \ z)) = K(x,T((x * y) \ z,y)). [hyper(228,a,7202,a(flip),b,10681,a)]. given #9686 (H,wt=25): 10659 K(((x / y) \ z) / y,L(y,u,w)) = K((y * (x \ z)) / y,L(y,u,w)). [para(898(a,1),10655(a,1,1)),flip(a)]. given #9687 (H,wt=25): 10683 K(((x / y) \ z) / y,L(y,u,w)) = K(y \ (y * (x \ z)),L(y,u,w)). [hyper(228,a,7332,a(flip),b,10659,a)]. given #9688 (H,wt=21): 10684 K(((x / y) \ z) / y,L(y,u,w)) = K(x \ z,L(y,u,w)). [hyper(228,a,644,a(flip),b,10683,a)]. given #9689 (H,wt=21): 10685 K(x \ ((y / x) \ z),L(x,u,w)) = K(y \ z,L(x,u,w)). [hyper(7654,a,10684,a)]. given #9690 (H,wt=21): 10687 K(x \ ((x \ y) \ z),L(x,u,w)) = K(y \ z,L(x,u,w)). [hyper(10105,a,10685,a)]. given #9691 (H,wt=27): 10652 K(L(x,y,z),x \ ((u * (x \ w)) \ v5)) = L(K(x,(u * w) \ v5),y * x,z). [para(10610(a,1),6341(a,1,1)),flip(a)]. given #9692 (H,wt=28): 10644 K((x * (y * z)) \ ((x * y) * u),L(z,y,x)) = K(L(z,y,x) \ u,L(z,y,x)). [para(469(a,1),10635(a,1,1))]. given #9693 (H,wt=28): 10668 T(L(x,y,z),(z * (y * x)) \ ((z * y) * u)) = T(L(x,y,z),L(x,y,z) \ u). [para(469(a,1),10661(a,1,2))]. given #9694 (H,wt=28): 10688 K(L(x,y,z),x \ ((u * (x \ w)) \ v5)) != v6 | K(L(x,y,z),(u * w) \ v5) = v6. [para(10652(a,2),6346(a,1))]. given #9695 (H,wt=28): 10689 K((x * y) \ (z \ ((x * y) * u)),L(z,y,x)) = K(L(z,y,x) \ u,L(z,y,x)). [hyper(10129,a,10644,a)]. given #9696 (H,wt=20): 10691 K(L(x,y,z) \ u,L(x,y,z)) = K(x \ u,L(x,y,z)). [hyper(228,a,10658,a(flip),b,10689,a(flip))]. given #9697 (H,wt=28): 10690 L(T(x,(y * (z * x)) \ ((y * z) * u)),z,y) = T(L(x,z,y),L(x,z,y) \ u). [hyper(228,a,40,a,b,10668,a(flip)),flip(a)]. given #9698 (H,wt=28): 10693 L(T(x,(y * z) \ (x \ ((y * z) * u))),z,y) = T(L(x,z,y),L(x,z,y) \ u). [para(9396(a,1),10690(a,1,1))]. given #9699 (H,wt=20): 10694 T(L(x,y,z),L(x,y,z) \ u) = L(T(x,x \ u),y,z). [para(10666(a,1),10693(a,1,1)),flip(a)]. given #9700 (H,wt=17): 10695 x / L(T(y,y \ x),z,u) = L(y,z,u) \ x. [para(10694(a,1),199(a,1,2))]. given #9701 (H,wt=19): 10698 (x * y) / L(T(x,y),z,u) = L(x,z,u) \ (x * y). [para(13(a,1),10695(a,1,2,1,2))]. given #9702 (H,wt=29): 10696 (L(x,y,z) \ u) / (L(T(x,x \ w),y,z) \ u) = K(L(x,y,z),L(x,y,z) \ w). [para(10694(a,1),5025(a,1,2,1))]. given #9703 (H,wt=20): 10701 K(L(x,y,z),L(x,y,z) \ u) = K(L(x,y,z),x \ u). [hyper(228,a,5173,a(flip),b,10696,a(flip))]. given #9704 (H,wt=30): 10672 ((x * T(y,x)) * L(x,y,z)) \ (x * (y * L(x,y,z))) = K(L(x,y,z),x * T(y,x)). [para(10667(a,1),1366(a,1,2,2))]. given #9705 (H,wt=28): 10702 ((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),10672(a,1,1,1))]. given #9706 (H,wt=19): 10703 K(L(x,y,z),x * T(y,x)) = K(x,y * L(x,y,z)). [hyper(1544,a,10702,a),flip(a)]. given #9707 (H,wt=17): 10704 K(L(x,y,z),y * x) = K(x,y * L(x,y,z)). [para(113(a,1),10703(a,1,2))]. given #9708 (H,wt=14): 10705 K(x,y * L(x,y,z)) = K(x,x * y). [hyper(6616,a,10704,a),flip(a)]. given #9709 (H,wt=22): 10707 L(K(x,x * y),z * x,u) = K(L(x,z,u),y * L(x,y,w)). [para(10705(a,1),6341(a,1,1))]. given #9710 (H,wt=20): 10708 K(L(x,y,z),u * L(x,u,w)) = K(L(x,y,z),x * u). [hyper(6346,a,10707,a),flip(a)]. given #9711 (H,wt=17): 10709 L(K(L(x,y,z),x * y),y,z) = K(x,x * y). [para(10708(a,1),10570(a,1,1))]. given #9712 (H,wt=14): 10710 L(K(x,x * y),y,z) = K(x,x * y). [para(8840(a,1),10709(a,1,1))]. given #9713 (H,wt=15): 10713 K(x,y \ (z * x)) = K(x,x * (y \ z)). [hyper(228,a,10553,a(flip),b,10710,a(flip)),flip(a)]. given #9714 (H,wt=15): 10716 K(x,y \ (x * z)) = K(x,x * (y \ z)). [hyper(9606,a,10713,a)]. given #9715 (H,wt=15): 10717 K(x,x * ((y * z) \ y)) = K(x,z \ x). [hyper(6302,a,10713,a),flip(a)]. given #9716 (H,wt=16): 10714 1 / L(K(x,x * y),y,z) = K(x * y,x). [para(10710(a,2),4894(a,1,2))]. given #9717 (H,wt=14): 10724 L(K(x * y,x),y,z) = K(x * y,x). [hyper(6241,a,10714,a)]. given #9718 (H,wt=15): 10726 K(x \ (y * z),z) = K(z * (x \ y),z). [hyper(228,a,10563,a(flip),b,10724,a(flip)),flip(a)]. given #9719 (H,wt=15): 10728 K((x / y) \ z,y) = K(y * (x \ z),y). [hyper(8352,a,10726,a)]. given #9720 (H,wt=15): 10729 K((x \ y) \ z,x) = K(x * (y \ z),x). [hyper(8328,a,10726,a)]. given #9721 (H,wt=15): 10730 K(x * ((y * x) \ z),x) = K(y \ z,x). [hyper(8327,a,10726,a),flip(a)]. given #9722 (H,wt=15): 10731 K((x \ y) \ z,z) = K(z * (y \ x),z). [hyper(6614,a,10726,a)]. given #9723 (H,wt=15): 10733 K(x * (y \ (x \ z)),x) = K(y \ z,x). [hyper(228,a,7585,a(flip),b,10726,a(flip))]. given #9724 (H,wt=17): 10712 K(x,(y * (x \ 1)) \ z) = K(x,x * (y \ z)). [hyper(6784,a,10710,a)]. given #9725 (H,wt=18): 10722 K(x,x * ((y * z) \ y)) != u | K(x,z \ x) = u. [para(10713(a,1),6302(a,1))]. given #9726 (H,wt=18): 10735 K(x * ((y * x) \ z),x) != u | K(y \ z,x) = u. [para(10726(a,1),8327(a,1))]. given #9727 (H,wt=19): 10719 K(x,(y * (z / x)) \ u) = K(x,x * ((y * z) \ u)). [hyper(228,a,10545,a,b,10713,a(flip)),flip(a)]. given #9728 (H,wt=19): 10727 K((x * (y \ z)) \ u,y) = K(y * ((x * z) \ u),y). [hyper(10561,a,10726,a)]. given #9729 (H,wt=19): 10736 T(x,(y * (x \ 1)) \ z) = x * K(x,x * (y \ z)). [para(10712(a,1),4705(a,2,2))]. given #9730 (H,wt=17): 10738 T(x,(y * (x \ 1)) \ z) = T(x,x * (y \ z)). [hyper(228,a,4705,a,b,10736,a)]. given #9731 (H,wt=15): 10739 T(x,y \ (x * z)) = T(x,x * (y \ z)). [hyper(228,a,10435,a(flip),b,10738,a(flip)),flip(a)]. given #9732 (H,wt=15): 10740 T(x,y \ (z * x)) = T(x,x * (y \ z)). [hyper(228,a,8397,a,b,10739,a(flip)),flip(a)]. given #9733 (H,wt=21): 10721 K(x,y * (L(y,z,u) \ x)) = K(x,x * (L(y,z,u) \ y)). [para(1363(a,1),10713(a,1,2))]. given #9734 (H,wt=21): 10725 1 / ((x * (y \ T(y * z,y))) \ (x * z)) = K(y * z,y). [para(6442(a,2),10714(a,1,2))]. given #9735 (H,wt=22): 10741 T(x,x * (y \ z)) * K(y \ z,x) = L(x,(z \ y) \ 1,x). [para(10740(a,1),6483(a,1,1))]. given #9736 (H,wt=15): 10743 L(x,(y \ z) \ 1,x) = L(x,z \ y,x). [hyper(5323,a,10741,a),flip(a)]. given #9737 (H,wt=15): 10744 L(x,(y / z) \ 1,x) = L(x,y \ z,x). [hyper(228,a,10400,a,b,10743,a(flip)),flip(a)]. given #9738 (H,wt=19): 10745 L(x,y * (y \ ((z / u) \ 1)),x) = L(x,z \ u,x). [para(14(a,2),10744(a,1,2))]. given #9739 (H,wt=23): 10723 L(K(x,x * (y \ z)),u * x,w) = K(L(x,u,w),y \ (z * x)). [para(10713(a,1),6341(a,1,1))]. given #9740 (H,wt=21): 10746 K(L(x,y,z),u \ (w * x)) = K(L(x,y,z),x * (u \ w)). [hyper(6346,a,10723,a),flip(a)]. given #9741 (H,wt=21): 10747 K(L(x,y,z),u \ (x * w)) = K(L(x,y,z),x * (u \ w)). [hyper(9660,a,10746,a)]. given #9742 (H,wt=24): 10748 K(L(x,y,z),x * (u \ L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). [hyper(228,a,10531,a(flip),b,10747,a(flip))]. given #9743 (H,wt=25): 10742 T(K(x * y,T(x,z)),z) = 1 / ((u * (x \ T(x * y,x))) \ (u * y)). [hyper(228,a,7819,a,b,10725,a),flip(a)]. given #9744 (H,wt=28): 10734 L(x * K(x * (y \ z),x),u,w) / L(x,u,w) = K(y \ (z * x),L(x,u,w)). [para(10726(a,1),5829(a,1,1,1,2))]. given #9745 (H,wt=21): 10750 K(x \ (y * z),L(z,u,w)) = K(z * (x \ y),L(z,u,w)). [hyper(228,a,5829,a(flip),b,10734,a(flip))]. given #9746 (H,wt=21): 10751 K((x \ y) \ z,L(z,u,w)) = K(z * (y \ x),L(z,u,w)). [hyper(228,a,6645,a,b,10750,a(flip)),flip(a)]. given #9747 (H,wt=29): 10749 T(K(x,K(y,z)) * K(y * z,y),x) = 1 / ((u * (y \ T(y * z,y))) \ (u * z)). [para(7809(a,2),10742(a,1,1))]. given #9748 (H,wt=29): 10752 1 / ((x * (y \ T(y * z,y))) \ (x * z)) = K(u,K(y,z)) * K(y * z,T(y,u)). [hyper(8357,a,10749,a),flip(a)]. given #9749 (H,wt=31): 10613 K(L(x,y,z) \ ((x \ (L(x,y,z) \ u)) \ w),L(x,y,z)) = K((x \ u) \ w,L(x,y,z)). [para(1373(a,1),10612(a,1,1,2,1))]. given #9750 (H,wt=28): 10754 K(x \ ((x \ (L(x,y,z) \ u)) \ w),L(x,y,z)) = K((x \ u) \ w,L(x,y,z)). [hyper(228,a,10691,a(flip),b,10613,a(flip)),flip(a)]. given #9751 (H,wt=24): 10755 K((L(x,y,z) \ u) \ w,L(x,y,z)) = K((x \ u) \ w,L(x,y,z)). [hyper(228,a,10687,a(flip),b,10754,a(flip)),flip(a)]. given #9752 (H,wt=24): 10756 K(L(x,y,z) * (u \ w),L(x,y,z)) = K((x \ u) \ w,L(x,y,z)). [hyper(228,a,10729,a(flip),b,10755,a(flip)),flip(a)]. given #9753 (H,wt=24): 10757 K(L(x,y,z) * (u \ w),L(x,y,z)) = K(u \ (x * w),L(x,y,z)). [hyper(228,a,9890,a(flip),b,10756,a)]. given #9754 (H,wt=24): 10758 K((x \ y) * L(z,u,w),L(z,u,w)) = K(x \ (z * y),L(z,u,w)). [hyper(7391,a,10757,a)]. given #9755 (H,wt=31): 10615 K(L(x,y,z) \ ((x \ (1 / L(x,y,z))) \ u),L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). [para(6494(a,1),10612(a,1,1,2,1))]. given #9756 (H,wt=28): 10759 K(x \ ((x \ (1 / L(x,y,z))) \ u),L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). [hyper(228,a,10691,a(flip),b,10615,a(flip)),flip(a)]. given #9757 (H,wt=24): 10760 K((1 / L(x,y,z)) \ u,L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). [hyper(228,a,10687,a(flip),b,10759,a(flip)),flip(a)]. given #9758 (H,wt=22): 10761 K(L(x,y,z) * u,L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). [hyper(228,a,5634,a(flip),b,10760,a(flip)),flip(a)]. given #9759 (H,wt=22): 10762 K(x * L(y,z,u),L(y,z,u)) = K((1 / y) \ x,L(y,z,u)). [hyper(7391,a,10761,a)]. given #9760 (H,wt=22): 10763 K(x * L(y,z,u),L(y,z,u)) = K(1 \ (x * y),L(y,z,u)). [hyper(228,a,9658,a(flip),b,10762,a)]. given #9761 (H,wt=20): 10764 K(x * L(y,z,u),L(y,z,u)) = K(x * y,L(y,z,u)). [para(51(a,1),10763(a,2,1))]. given #9762 (H,wt=21): 10765 K(x \ (y * z),L(y,u,w)) = K((x \ z) * y,L(y,u,w)). [hyper(228,a,10758,a(flip),b,10764,a(flip)),flip(a)]. given #9763 (H,wt=21): 10766 K((x \ y) \ z,L(x,u,w)) = K((y \ z) * x,L(x,u,w)). [hyper(228,a,9890,a,b,10765,a(flip)),flip(a)]. given #9764 (H,wt=21): 10767 K(x \ (y * z),L(z,u,w)) = K((x \ y) * z,L(z,u,w)). [hyper(228,a,9662,a,b,10765,a(flip)),flip(a)]. given #9765 (H,wt=21): 10769 K((x / y) \ z,L(y,u,w)) = K((x \ z) * y,L(y,u,w)). [hyper(228,a,9658,a,b,10767,a(flip)),flip(a)]. given #9766 (H,wt=22): 10768 K(((x \ y) \ z) * u,L(u,z,x)) = K(y \ (x * (u * z)),u). [hyper(228,a,8955,a(flip),b,10765,a(flip))]. given #9767 (H,wt=32): 10737 L(x * K(x * ((y * z) \ u),x),w,v5) \ L(x,w,v5) = K(L(x,w,v5),(y * (x \ z)) \ u). [para(10727(a,1),5830(a,1,1,1,2))]. given #9768 (H,wt=25): 10770 K(L(x,y,z),(u * (x \ w)) \ v5) = K(L(x,y,z),x * ((u * w) \ v5)). [hyper(6351,a,10737,a),flip(a)]. given #9769 (H,wt=28): 10771 K(L(x,y,z),(u * (x \ w)) \ v5) != v6 | K(L(x,y,z),x * ((u * w) \ v5)) = v6. [para(10737(a,1),6351(a,1))]. given #9770 (H,wt=32): 10753 1 / ((x * (y \ T(y * z,y))) \ (x * z)) != K(u,K(y,z)) * w | K(y * z,T(y,u)) = w. [para(10752(a,2),19(a,1))]. given #9771 (H,wt=33): 9936 ((K(R(x,y,x),z) / R(x,y,x)) * x) \ L(R(x,y,x),y,x) = R(x,y,x) * K(z,R(x,y,x)). [para(4039(a,1),9935(a,1,1,2))]. given #9772 (H,wt=27): 10772 ((K(R(x,y,x),z) / R(x,y,x)) * x) \ x = R(x,y,x) * K(z,R(x,y,x)). [para(4039(a,1),9936(a,1,2))]. given #9773 (H,wt=24): 10773 ((K(R(x,y,x),z) / R(x,y,x)) * x) \ x = R(x * K(z,x),y,x). [hyper(228,a,5822,a(flip),b,10772,a)]. given #9774 (H,wt=21): 10774 ((K(x,y) / R(x,z,x)) * x) \ x = R(x * K(y,x),z,x). [para(7022(a,1),10773(a,1,1,1,1))]. given #9775 (H,wt=19): 10775 (R(x,y,x) \ T(x,z)) \ x = R(x * K(z,x),y,x). [para(6110(a,1),10774(a,1,1))]. given #9776 (H,wt=19): 10777 (x \ L(T(x,y),z,x)) \ x = R(x * K(y,x),z,x). [para(9295(a,1),10775(a,1,1))]. given #9777 (H,wt=33): 10650 K(T(1 / x,y),(1 / y) * (T(1 / x,y) \ z)) = K(T(1 / x,y),((1 / (1 / y)) \ x) * z). [para(2382(a,1),10647(a,1,2,1)),flip(a)]. given #9778 (H,wt=33): 10778 K(T(1 / x,y),(1 / y) * (T(1 / x,y) \ z)) = K(T(1 / x,y),(((1 \ 1) \ y) \ x) * z). [hyper(228,a,6685,a(flip),b,10650,a)]. given #9779 (H,wt=29): 10779 K(T(1 / x,y),(1 / y) * (T(1 / x,y) \ z)) = K(T(1 / x,y),(y \ x) * z). [para(126(a,1),10778(a,2,2,1,1))]. given #9780 (H,wt=29): 10780 K(T(1 / x,y),(1 / y) * (T(1 / x,y) \ z)) = K(1 / x,T((y \ x) * z,y)). [hyper(228,a,7202,a(flip),b,10779,a)]. given #9781 (H,wt=29): 10781 K(T(1 / x,y),(1 / y) * (T(1 / x,y) \ z)) = K(x \ 1,T((y \ x) * z,y)). [hyper(228,a,2853,a(flip),b,10780,a)]. given #9782 (H,wt=34): 3734 (x * ((y / (z * (u \ y))) / x)) * (z * (u \ y)) != w | ((x * ((u / z) / x)) * z) * (u \ y) = w. [para(3557(a,1),221(a,1))]. given #9783 (H,wt=34): 4438 (x * ((K(y,y \ 1) * z) * u)) \ ((K(y,y \ 1) * (x * z)) * u) = a(x,K(y,y \ 1) * z,u). [para(4406(a,2),24(a,2,2,1)),flip(a)]. given #9784 (H,wt=34): 4547 ((x * (y * (K(z,z \ 1) * u))) \ ((x * y) * u)) * K(z,z \ 1) = a(x,y,K(z,z \ 1) * u). [hyper(663,a,4443,a),flip(a)]. given #9785 (H,wt=34): 5480 K(x,(y * z) / (y * (u \ z))) * ((y * (u \ z)) * T(L(T(u,u \ z),u \ z,y),x)) = y * z. [para(267(a,2),5169(a,1,2,2,1))]. given #9786 (H,wt=29): 10784 K(x,(y * z) / (y * (u \ z))) * (y * ((u \ z) * T(T(u,u \ z),x))) = y * z. [para(450(a,1),5480(a,1,2))]. given #9787 (H,wt=25): 10785 K(x,(y * z) / (y * (u \ z))) * (y * (T(u,x) * (u \ z))) = y * z. [para(182(a,1),10784(a,1,2,2))]. given #9788 (H,wt=23): 10786 K(x,(y * z) / (y * (u \ z))) * (y * (K(u,x) * z)) = y * z. [para(4676(a,1),10785(a,1,2,2))]. given #9789 (H,wt=21): 10788 K(x,y) * (R(y,z,u) * (K(y,x) * w)) = R(y,z,u) * w. [para(1222(a,1),10786(a,1,1,2))]. given #9790 (H,wt=21): 10789 R(K(x,y),z * (K(u,y) * w),v5) = R(K(x,y),z * w,v5). [para(10786(a,1),8790(a,1,2)),flip(a)]. given #9791 (H,wt=19): 10793 R(K(x,y),z * x,u) = K(R(x,K(w,y) * z,u),y). [hyper(228,a,10325,a(flip),b,10789,a(flip))]. given #9792 (H,wt=17): 10795 K(R(x,K(y,z) * u,w),z) = K(R(x,u,w),z). [hyper(228,a,9138,a(flip),b,10793,a(flip))]. given #9793 (H,wt=18): 10796 R(K(x,y),z * x,u) != w | K(R(x,z,u),y) = w. [para(10793(a,2),9191(a,1))]. given #9794 (H,wt=16): 10798 K(x,R(y,x,z)) != u | K(R(x,y,z),y) = u. [para(6923(a,1),10796(a,1))]. given #9795 (H,wt=21): 10791 R(K(x,y),z * (K(u,x) * w),v5) = R(K(x,y),z * w,v5). [para(10786(a,1),9195(a,1,2)),flip(a)]. given #9796 (H,wt=21): 10797 T(x,R(y,K(z,x) * u,w)) = 1 / (x \ K(R(y,u,w),x)). [para(10795(a,1),4806(a,2,2,2))]. given #9797 (H,wt=20): 10800 T(x,R(y,K(z,x) * u,w)) != v5 | T(x,R(y,u,w)) = v5. [para(10797(a,2),4807(a,1))]. given #9798 (H,wt=21): 10799 R(K(x,y),z * (u * K(w,x)),v5) = R(K(x,y),z * u,v5). [para(7326(a,1),10791(a,1,2,2))]. given #9799 (H,wt=19): 10801 R(K(x,y),z * y,u) = K(x,R(y * K(w,x),z,u)). [hyper(9189,a,10799,a),flip(a)]. given #9800 (H,wt=17): 10802 K(x,R(y * K(z,x),u,w)) = K(x,R(y,u,w)). [hyper(9188,a,10801,a),flip(a)]. given #9801 (H,wt=17): 10803 K(x,R(y * K(x,z),u,w)) = K(x,R(y,u,w)). [para(5062(a,1),10802(a,1,2,1)),flip(a)]. given #9802 (H,wt=21): 10804 K(x,R(K(y,x) * z,u,w)) = K(x,R(z * K(y,x),u,w)). [para(7695(a,1),10803(a,1,2,1)),flip(a)]. given #9803 (H,wt=21): 10805 K(x,R(K(y,x) * z,u,w)) = K(x,R(z,K(y,x) * u,w)). [hyper(228,a,10328,a(flip),b,10804,a)]. given #9804 (H,wt=23): 10787 K(x,(y * z) / (y * (u \ z))) = (y * z) / (y * (K(u,x) * z)). [hyper(85,a,10786,a),flip(a)]. given #9805 (H,wt=23): 10790 K(x,y / ((z * (K(u,x) * w)) * v5)) = K(x,y / ((z * w) * v5)). [para(10786(a,1),8818(a,1,2,2,1)),flip(a)]. given #9806 (H,wt=23): 10806 x * K(x,R(y,K(z,x) * u,w)) = T(x,R(K(z,x) * y,u,w)). [para(10805(a,1),4705(a,2,2)),flip(a)]. given #9807 (H,wt=21): 10808 T(x,R(K(y,x) * z,u,w)) = T(x,R(z,K(y,x) * u,w)). [hyper(4708,a,10806,a),flip(a)]. given #9808 (H,wt=23): 10807 K((x * y) / (x * (z \ y)),u) = K(z,(x * y) / (x * (u \ y))). [hyper(228,a,9668,a,b,10787,a),flip(a)]. given #9809 (H,wt=23): 10809 T(x,R(x \ y,K(z,x) * u,w)) = T(x,R(T(x,z) \ y,u,w)). [para(5004(a,1),10808(a,1,2,1)),flip(a)]. given #9810 (H,wt=19): 10811 T(x,R(T(x,y) \ z,u,w)) = T(x,R(x \ z,u,w)). [hyper(10800,a,10809,a),flip(a)]. given #9811 (H,wt=19): 10813 T(x,R(y / T(x,z),u,w)) = T(x,R(x \ y,u,w)). [hyper(5318,a,10811,a)]. given #9812 (H,wt=23): 10810 K(x,(y * z) / (y * (u \ z))) = (y * (K(x,u) * z)) / (y * z). [hyper(228,a,6526,a(flip),b,10807,a(flip))]. given #9813 (H,wt=27): 10814 K(x,((y * x) * z) / ((y * x) * (y \ z))) != u | L(K(x,y),z,y * x) = u. [para(10810(a,2),9925(a,1))]. given #9814 (H,wt=29): 10792 K(x,y) * (R(T(y,z),u,w) * (K(T(y,z),T(x,z)) * v5)) = R(T(y,z),u,w) * v5. [para(7829(a,1),10788(a,1,1))]. given #9815 (H,wt=25): 10815 K(x,y) * (R(T(y,z),u,w) * (K(y,x) * v5)) = R(T(y,z),u,w) * v5. [para(7829(a,1),10792(a,1,2,2,1))]. given #9816 (H,wt=34): 6056 (x \ T(x * y,x)) \ (y * K(z,K(x * y,x))) = L(T(K(x * y,x),z) \ 1,K(x * y,x),y). [para(5292(a,2),4801(a,1,1))]. given #9817 (H,wt=34): 6113 ((x * y) / x) \ (T(y,z) * ((K(x,y) * K(z,y)) * u)) = L(u,T(y,z) \ ((x * y) / x),T(y,z)). [para(6112(a,1),101(a,1,2,2,1))]. given #9818 (H,wt=34): 8286 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(8205(a,2),4842(a,2,1,2))]. given #9819 (H,wt=34): 8324 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,(y \ ((1 / z) \ y)) \ (x \ ((1 / z) \ y))). [para(3878(a,1),7535(a,2,2,2,2))]. given #9820 (H,wt=34): 8608 R(x,y,z * K(u,K(w,y * z))) * T(y * z,K(u,w)) = (x * y) * (z * K(u,K(w,y * z))). [para(8534(a,1),109(a,1,2))]. given #9821 (H,wt=34): 9432 L(K(x,(y \ x) \ ((z \ u) * x)),z \ u,z) = K(x,(z * ((((y \ x) / x) * y) * (1 / y))) \ u). [para(1828(a,2),8415(a,2,2,1,2))]. given #9822 (H,wt=32): 10819 L(K(x,(y \ 1) \ (z \ u)),z \ u,z) = K(x,(z * ((((y \ x) / x) * y) * (1 / y))) \ u). [para(8668(a,1),9432(a,1,1))]. given #9823 (H,wt=27): 10820 K(x,(y * ((((z \ x) / x) * z) * (1 / z))) \ u) = K(x,(y * (z \ 1)) \ u). [hyper(6781,a,10819,a),flip(a)]. given #9824 (H,wt=21): 10821 K(x,(y * ((z \ x) / x)) \ u) = K(x,(y * (z \ 1)) \ u). [para(1828(a,1),10820(a,1,2,1,2))]. given #9825 (H,wt=21): 10822 K(x,(y * (z \ x)) \ (u * x)) = K(x,(y * (z \ 1)) \ u). [hyper(228,a,10545,a(flip),b,10821,a(flip)),flip(a)]. given #9826 (H,wt=21): 10823 K(x,(y * ((z \ x) \ 1)) \ u) = K(x,(y * z) \ (u * x)). [hyper(228,a,6758,a(flip),b,10822,a(flip))]. given #9827 (H,wt=34): 9711 L(K(x,y),z,u) * K(y,L(L(x \ 1,z,u),w,v5) \ 1) = a(v5,w,K(L(x \ 1,z,u) \ 1,y)). [para(6132(a,1),9686(a,1,1))]. given #9828 (H,wt=30): 10825 L(K(x,y),z,u) * L(L(K(y,x),z,u),w,v5) = a(v5,w,K(L(x \ 1,z,u) \ 1,y)). [para(6107(a,1),9711(a,1,2))]. given #9829 (H,wt=26): 10826 L(K(x,y),z,u) * L(L(K(y,x),z,u),w,v5) = a(v5,w,L(K(x,y),z,u)). [para(6132(a,1),10825(a,2,3))]. given #9830 (H,wt=34): 9843 L(a((x \ y) \ y,z,(x \ y) \ y),u,(x \ y) \ y) = y \ (R(x,z,(x \ y) \ y) * (x \ y)). [para(601(a,1),9838(a,2,2))]. given #9831 (H,wt=30): 10827 L(a((x \ y) \ y,z,(x \ y) \ y),u,(x \ y) \ y) = y \ (R(x,z,x) * (x \ y)). [para(7052(a,1),9843(a,2,2,1))]. given #9832 (H,wt=28): 10829 L(a((x \ y) \ y,z,(x \ y) \ y),u,(x \ y) \ y) = y \ (y * a(x,z,x)). [para(9821(a,1),10827(a,2,2))]. given #9833 (H,wt=24): 10830 L(a((x \ y) \ y,z,(x \ y) \ y),u,(x \ y) \ y) = a(x,z,x). [hyper(228,a,13,a(flip),b,10829,a)]. given #9834 (H,wt=17): 10831 a((x \ y) \ y,z,(x \ y) \ y) = a(x,z,x). [hyper(4165,a,10830,a),flip(a)]. given #9835 (H,wt=34): 10507 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(5004(a,1),10506(a,1,2))]. given #9836 (H,wt=34): 10782 (x * (K(y,y \ 1) * (z * u))) \ ((K(y,y \ 1) * (x * z)) * u) = a(x,K(y,y \ 1) * z,u). [para(3430(a,1),4438(a,1,1,2))]. given #9837 (H,wt=34): 10783 ((x * (K(y,y \ 1) * (z * u))) \ ((x * z) * u)) * K(y,y \ 1) = a(x,z,K(y,y \ 1) * u). [para(4406(a,2),4547(a,1,1,1,2))]. given #9838 (H,wt=34): 10817 (x \ T(x * y,x)) \ (y * K(x,K(z,x * y))) = L(T(K(x * y,x),z) \ 1,K(x * y,x),y). [para(7728(a,1),6056(a,1,2,2))]. given #9839 (H,wt=34): 10818 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(7728(a,1),8286(a,1,1,2))]. given #9840 (H,wt=32): 10837 L(K(x * y,x) * K(x,K(z * y,y)),y,z) = (z * (T(x * y,x) / T(x,y))) / (z * y). [para(7866(a,1),10818(a,1,1,2))]. given #9841 (H,wt=32): 10838 L(K(x * y,x) * K(x,K(y * z,y)),y,z) = (z * (T(x * y,x) / T(x,y))) / (z * y). [para(5647(a,1),10837(a,1,1,2,2))]. given #9842 (H,wt=32): 10839 L(K(x * y,x) * K(x,K(y,y * z)),y,z) = (z * (T(x * y,x) / T(x,y))) / (z * y). [para(7741(a,1),10838(a,1,1,2))]. given #9843 (H,wt=30): 10840 (x * (T(y * z,y) / T(y,z))) / (x * z) = L(K(y * z,y) * K(y,K(z,x)),z,x). [para(7781(a,1),10839(a,1,1,2)),flip(a)]. given #9844 (H,wt=28): 10841 L(K(x * y,x) * K(x,K(y,z)),y,z) = (z * (x \ T(x * y,x))) / (z * y). [para(7483(a,1),10840(a,1,1,2)),flip(a)]. given #9845 (H,wt=24): 10842 (x * (y \ T(y * z,y))) / (x * z) = L(K(y * z,T(y,x)),z,x). [para(8008(a,1),10841(a,1,1)),flip(a)]. given #9846 (H,wt=22): 10843 L(K(x * y,T(x,z)),y,z) = K((z * y) / (z * (x \ 1)),x). [hyper(6772,a,10842,a),flip(a)]. given #9847 (H,wt=34): 10833 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(5722,a,10507,a)]. given #9848 (H,wt=34): 10834 (x * (K(y,y \ 1) * (z * u))) \ (K(y,y \ 1) * ((x * z) * u)) = a(x,K(y,y \ 1) * z,u). [para(3430(a,1),10782(a,1,2))]. given #9849 (H,wt=34): 10835 (((x * (y * z)) \ ((x * y) * z)) * K(u \ 1,u)) * K(u,u \ 1) = a(x,y,K(u,u \ 1) * z). [para(4444(a,1),10783(a,1,1))]. given #9850 (H,wt=27): 10846 (a(x,y,z) * K(u \ 1,u)) * K(u,u \ 1) = a(x,y,K(u,u \ 1) * z). [para(24(a,2),10835(a,1,1,1))]. given #9851 (H,wt=15): 10847 a(x,y,K(z,z \ 1) * u) = a(x,y,u). [hyper(5065,a,10846,a)]. given #9852 (H,wt=13): 10850 a(x,y,1 / z) = a(x,y,z \ 1). [para(1872(a,1),10847(a,1,3))]. given #9853 (H,wt=15): 10851 a(x,y,z * K(u \ 1,u)) = a(x,y,z). [para(2923(a,1),10847(a,1,3)),flip(a)]. given #9854 (H,wt=15): 10853 a(x,y,K(z,u) \ 1) = a(x,y,K(u,z)). [para(4894(a,1),10850(a,1,3)),flip(a)]. given #9855 (H,wt=17): 10855 a(x,y,z * K(u \ w,w \ u)) = a(x,y,z). [para(2786(a,1),10851(a,1,3,2))]. given #9856 (H,wt=17): 10856 a(x,y,K(K(z,u),w)) = a(x,y,K(u,K(w,z))). [para(7702(a,1),10853(a,1,3)),flip(a)]. given #9857 (H,wt=21): 10852 a(x,y,z * (u * (1 / w))) = a(x,y,z * (u * (w \ 1))). [para(4440(a,1),10847(a,1,3))]. given #9858 (H,wt=22): 10854 L(a(x,y,z),u,K(w \ 1,w)) = a(x,y,z * K(v5 \ 1,v5)). [hyper(228,a,3434,a,b,10851,a),flip(a)]. given #9859 (H,wt=18): 10857 a(x,y,z * K(u \ 1,u)) != w | a(x,y,z) = w. [para(10854(a,1),334(a,1)),flip(b)]. given #9860 (H,wt=20): 10858 a(x,y,z * K(u \ w,w \ u)) != v5 | a(x,y,z) = v5. [para(2786(a,1),10857(a,1,3,2))]. given #9861 (H,wt=22): 10859 a(x,y,z \ K(u \ w,w \ u)) != v5 | a(x,y,z \ 1) = v5. [para(5131(a,1),10858(a,1,3))]. given #9862 (H,wt=22): 10860 a(x,y,K(z \ u,u \ z) / w) != v5 | a(x,y,w \ 1) = v5. [para(6877(a,1),10859(a,1,3))]. given #9863 (H,wt=28): 10849 ((x * (y * (K(z,z \ 1) * u))) \ ((x * y) * u)) * K(z,z \ 1) = a(x,y,u). [hyper(228,a,4547,a,b,10847,a(flip)),flip(a)]. given #9864 (H,wt=28): 10862 ((x * (y * (z * K(u,u \ 1)))) \ ((x * y) * z)) * K(u,u \ 1) = a(x,y,z). [para(2341(a,1),10849(a,1,1,1,2,2))]. given #9865 (H,wt=34): 10836 (x \ T(x * y,x)) \ (y * K(x,K(z,x * y))) = L(K(x * y,T(x,z)) \ 1,K(x * y,x),y). [para(7152(a,2),10817(a,2,1,1))]. given #9866 (H,wt=32): 10863 (x \ T(x * y,x)) \ (y * K(x,K(z,x * y))) = L(K(x,T(x * y,z)),K(x * y,x),y). [para(7209(a,1),10836(a,2,1))]. given #9867 (H,wt=25): 10864 (x \ T(x * y,x)) \ (y * K(x,K(z,x * y))) = K(x,T(x * y,z)). [hyper(228,a,8936,a(flip),b,10863,a)]. given #9868 (H,wt=33): 10867 K(x,T(y / z,y) \ y) \ (K(x,z) * K(y,K(u,y * K(x,z)))) = K(y,T(y * K(x,z),u)). [para(6745(a,2),10864(a,1,1))]. given #9869 (H,wt=25): 10868 K(x,T(y / z,y) \ y) \ (K(x,z) * 1) = K(y,T(y * K(x,z),x)). [para(7130(a,1),10867(a,1,2,2))]. given #9870 (H,wt=23): 10869 K(x,T(y / z,y) \ y) \ K(x,z) = K(y,T(y * K(x,z),x)). [para(12(a,1),10868(a,1,2))]. given #9871 (H,wt=23): 10870 K(T(x / y,x) \ x,z) * K(z,y) = K(x,T(x * K(z,y),z)). [hyper(5072,a,10869,a)]. given #9872 (H,wt=23): 10871 K(x,T(y / z,y) \ y) * K(z,x) = K(y,T(y * K(z,x),z)). [para(6746(a,1),10870(a,1,1))]. given #9873 (H,wt=21): 10872 K(x,T(y / z,y) \ y) * K(z,x) = K(y,y * K(z,x)). [hyper(228,a,7582,a(flip),b,10871,a)]. given #9874 (H,wt=15): 10873 K(x * K(y,z),x) = K(x,x * K(z,y)). [hyper(228,a,6748,a(flip),b,10872,a(flip)),flip(a)]. given #9875 (H,wt=24): 10874 T(T(x * K(x,x * K(y,z)),u),K(z,y)) = R(T(x,u),K(z,y),x). [para(10873(a,1),6072(a,1,1,1,2))]. given #9876 (H,wt=22): 10875 T(T(T(x,x * K(y,z)),u),K(z,y)) = R(T(x,u),K(z,y),x). [para(4705(a,2),10874(a,1,1,1))]. given #9877 (H,wt=18): 10876 R(T(x,K(y,z)),K(z,y),x) = T(x,x * K(y,z)). [hyper(5982,a,10875,a)]. given #9878 (H,wt=21): 10877 T(x,x * K(y,z)) \ T(K(z,y) * x,x) = K(z,T(y,x)). [para(10876(a,1),10462(a,1,1))]. given #9879 (H,wt=34): 10844 K(x,T(y,z)) * (K(y * R(x,u,w),T(x,z)) * v5) = R(T(x,z),y,R(x,u,w)) * (T(x,z) \ v5). [hyper(8311,a,10833,a)]. given #9880 (H,wt=34): 10845 ((x * (K(y,y \ 1) * (z * u))) \ ((x * z) * u)) * K(y,y \ 1) = a(x,K(y,y \ 1) * z,u). [hyper(4447,a,10834,a)]. given #9881 (H,wt=34): 10879 (((x * (y * z)) \ ((x * y) * z)) * K(u \ 1,u)) * K(u,u \ 1) = a(x,K(u,u \ 1) * y,z). [para(4444(a,1),10845(a,1,1))]. given #9882 (H,wt=27): 10880 (a(x,y,z) * K(u \ 1,u)) * K(u,u \ 1) = a(x,K(u,u \ 1) * y,z). [para(24(a,2),10879(a,1,1,1))]. given #9883 (H,wt=15): 10881 a(x,K(y,y \ 1) * z,u) = a(x,z,u). [hyper(5065,a,10880,a)]. given #9884 (H,wt=13): 10883 a(x,1 / y,z) = a(x,y \ 1,z). [para(1872(a,1),10881(a,1,2))]. given #9885 (H,wt=15): 10884 a(x,y * K(z \ 1,z),u) = a(x,y,u). [para(2923(a,1),10881(a,1,2)),flip(a)]. given #9886 (H,wt=17): 10885 a(x,(y \ z) \ 1,u) = a(x,(1 / z) * y,u). [para(326(a,1),10883(a,1,2)),flip(a)]. given #9887 (H,wt=23): 10887 a(x,y * K(z \ 1,z),u) = K(w,v5) * (K(v5,w) * a(x,y,u)). [hyper(228,a,5042,a,b,10884,a)]. given #9888 (H,wt=18): 10888 a(x,y * K(z \ 1,z),u) != w | a(x,y,u) = w. [para(10887(a,2),5046(a,1)),flip(b)]. given #9889 (H,wt=18): 10889 a(x,y * K(z,z \ 1),u) != w | a(x,y,u) = w. [para(813(a,1),10888(a,1,2,2))]. given #9890 (H,wt=25): 10886 a(x,1 / (y * K(z \ 1,z)),u) = a(x,K(z,z \ 1) * (y \ 1),u). [para(4369(a,1),10883(a,2,2))]. given #9891 (H,wt=23): 10890 a(x,K(y,y \ 1) * (z \ 1),u) = a(x,K(y,y \ 1) / z,u). [para(1890(a,1),10886(a,1,2)),flip(a)]. given #9892 (H,wt=23): 10891 a(x,K(y,y \ 1) * (z \ 1),u) = a(x,y * (1 / (z * y)),u). [para(6840(a,1),10890(a,2,2))]. given #9893 (H,wt=23): 10892 a(x,(y * K(z \ 1,z)) \ 1,u) = a(x,z * (1 / (y * z)),u). [para(4369(a,2),10891(a,1,2))]. given #9894 (H,wt=35): 6716 K(x,((y / z) * L(z,u,w)) \ (y * L(z,u,w))) = (y * (K(z,x) * L(z,u,w))) \ (y * L(z,u,w)). [para(6051(a,1),6714(a,2,1))]. given #9895 (H,wt=32): 10893 K(x,((y / z) * L(z,u,w)) \ (y * L(z,u,w))) = L(K(x,T(z,L(z,u,w))),L(z,u,w),y). [hyper(228,a,7327,a(flip),b,6716,a)]. given #9896 (H,wt=27): 10894 K(x,((y / z) * L(z,u,w)) \ (y * L(z,u,w))) = L(K(x,z),L(z,u,w),y). [para(260(a,1),10893(a,2,1,2))]. given #9897 (H,wt=13): 10895 L(K(x,y),L(y,z,u),w) = K(x,y). [para(1543(a,1),10894(a,1,2)),flip(a)]. given #9898 (H,wt=21): 10896 K((x \ y) \ L(z,u,w),z) = K(y \ (x * L(z,u,w)),z). [hyper(228,a,6328,a(flip),b,10895,a(flip))]. given #9899 (H,wt=35): 6918 (R(K(x,y),z,u) \ K(R(K(x,y),z,u) * w,R(K(y,x),z,u))) \ w = w / (R(K(x,y),z,u) \ 1). [para(6913(a,1),6096(a,1,1,2,2))]. given #9900 (H,wt=28): 10897 R(T(K(x,y),R(K(y,x),z,u) * w),z,u) \ w = w / (R(K(y,x),z,u) \ 1). [para(9430(a,1),6918(a,1,1))]. given #9901 (H,wt=26): 10898 R(T(K(x,y),R(K(y,x),z,u) * w),z,u) \ w = w / R(K(x,y),z,u). [para(6913(a,1),10897(a,2,2))]. given #9902 (H,wt=19): 10899 R(T(K(x,y),z),u,w) \ z = z / R(K(x,y),u,w). [para(7616(a,1),10898(a,1,1,1))]. given #9903 (H,wt=19): 10900 x / (x / R(K(y,z),u,w)) = R(T(K(y,z),x),u,w). [para(10899(a,1),61(a,1,2))]. given #9904 (H,wt=19): 10902 (R(K(x,y),z,u) \ w) \ w = R(T(K(x,y),w),z,u). [hyper(228,a,9433,a(flip),b,10900,a(flip)),flip(a)]. given #9905 (H,wt=22): 10903 ((K(x,y) * z) * u) \ (z * u) = R(T(K(y,x),z * u),z,u). [para(6915(a,1),10902(a,1,1))]. given #9906 (H,wt=22): 10904 ((K(x,y) * z) * u) \ (z * u) = R(K(y,T(x,z * u)),z,u). [para(7152(a,2),10903(a,2,1))]. given #9907 (H,wt=35): 8717 (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(7422(a,1),4983(a,1,1,2))]. given #9908 (H,wt=33): 10906 (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(4675(a,1),8717(a,1,1))]. given #9909 (H,wt=21): 10907 a(x,K(x,y) * z,R(x,u,w)) = a(T(x,y),z,R(x,u,w)). [hyper(663,a,10906,a),flip(a)]. given #9910 (H,wt=23): 10909 a(T(x,y),T(x,y) \ z,R(x,u,w)) = a(x,x \ z,R(x,u,w)). [para(4977(a,1),10907(a,1,2)),flip(a)]. given #9911 (H,wt=24): 10908 a(x,K(x,y) * z,R(x,u,w)) != v5 | a(T(x,y),z,R(x,u,w)) = v5. [para(10906(a,1),663(a,1))]. given #9912 (H,wt=35): 8930 ((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(3065(a,1),8920(a,1,1))]. given #9913 (H,wt=35): 8941 ((x * K(y,z)) / (x * K(u,z))) \ 1 = (K(z,u) * K(y,z)) \ K(K(z,u) * K(y,z),x * K(u,z)). [para(8931(a,1),4798(a,1,1,1))]. given #9914 (H,wt=35): 9710 ((x / y) * (y * K(z,x))) \ ((z * x) / z) = ((x / y) * y) \ (((x / y) * (y * K(x,z))) * K(z,x)). [hyper(228,a,4839,a,b,9693,a),flip(a)]. given #9915 (H,wt=31): 10912 ((x / y) * (y * K(z,x))) \ ((z * x) / z) = x \ (((x / y) * (y * K(x,z))) * K(z,x)). [para(16(a,1),9710(a,2,1))]. given #9916 (H,wt=31): 10913 T(((x / y) * (y * K(x,z))) / T(x,z),x) = ((x / y) * (y * K(z,x))) \ ((z * x) / z). [hyper(228,a,5287,a(flip),b,10912,a),flip(a)]. given #9917 (H,wt=35): 9732 K(x / y,T(z,u)) \ T(x / (K(y \ x,z) \ x),u) = K(K(x / y,z) \ x,T(K(x / y,z),u)). [para(7879(a,1),7189(a,1,2,1,2))]. given #9918 (H,wt=31): 10914 K(K(x / y,z) \ x,T(K(x / y,z),u)) = K(x / y,T(z,u)) \ T(K(y \ x,z),u). [para(61(a,1),9732(a,1,2,1)),flip(a)]. given #9919 (H,wt=31): 10916 K(K(x / y,z) \ x,T(K(x / y,z),u)) = K(x / y,T(z,u)) \ K(y \ x,T(z,u)). [para(7152(a,2),10914(a,2,2))]. given #9920 (H,wt=31): 10917 K(K(x / y,z) \ x,T(K(x / y,z),u)) = K(z,T(x / y,u)) * K(y \ x,T(z,u)). [hyper(228,a,7230,a(flip),b,10916,a)]. given #9921 (H,wt=25): 10918 K(x,T(y / z,u)) * K(z \ y,T(x,u)) = K(y / z,K(y,T(x,u))). [hyper(228,a,8106,a(flip),b,10917,a(flip))]. given #9922 (H,wt=26): 10920 K(x,T(y / z,u)) * K(z \ y,T(x,u)) != w | K(y,K(z,T(x,u))) = w. [para(10918(a,2),8179(a,1))]. given #9923 (H,wt=35): 10047 R(K(x,y) * R(K(x,y) \ 1,z,u),K(y,w),v5) = K(x,y) * R(R(K(x,y),K(y,w),v5) \ 1,z,u). [para(10041(a,1),2753(a,1,1)),flip(a)]. given #9924 (H,wt=30): 10921 R(K(x,y) * R(K(x,y) \ 1,z,u),K(y,w),v5) = K(x,y) * R(K(x,y) \ 1,z,u). [para(10041(a,1),10047(a,2,2,1,1))]. given #9925 (H,wt=28): 10922 R(K(x,y) * R(K(x,y) \ 1,z,u),K(y,w),v5) = K(x,y) * R(K(y,x),z,u). [para(4879(a,1),10921(a,2,2,1))]. given #9926 (H,wt=26): 10924 R(K(x,y) * R(K(y,x),z,u),K(y,w),v5) = K(x,y) * R(K(y,x),z,u). [para(4879(a,1),10922(a,1,1,2,1))]. given #9927 (H,wt=26): 10925 ((K(x,y) * z) * u) / (K(x,y) * (z * u)) = K(y,x) * R(K(x,y),z,u). [hyper(228,a,5055,a(flip),b,10924,a(flip)),flip(a)]. given #9928 (H,wt=30): 10927 R(K(x,y) * R(K(y,x),z,u),K(y,w),v5) * v6 = K(x,y) * (R(K(y,x),z,u) * v6). [para(10924(a,2),9956(a,1,1))]. given #9929 (H,wt=35): 10219 (K(x,T(y,z)) * a(K(x,u),w,v5)) * (z * K(y,x)) = (a(K(x,u),w,v5) * K(x,y)) * (K(y,x) * z). [para(9075(a,2),10218(a,1,1))]. given #9930 (H,wt=35): 10362 (x * (y * ((x \ (z / u)) / y))) * ((z / u) \ z) = (x * u) * (y * (((x * ((z / u) \ z)) \ z) / y)). [para(64(a,1),10267(a,1,1,2)),flip(a)]. given #9931 (H,wt=31): 10930 (x * (y * ((x \ (z / u)) / y))) * ((z / u) \ z) = (x * u) * (y * (((x * u) \ z) / y)). [para(64(a,1),10362(a,2,2,2,1,1,2))]. given #9932 (H,wt=27): 10931 (x * (y * ((x \ (z / u)) / y))) * u = (x * u) * (y * (((x * u) \ z) / y)). [para(64(a,1),10930(a,1,2))]. given #9933 (H,wt=25): 10932 ((x * y) * (z * (((x * y) \ u) / z))) / u = K(z,u / ((x * z) * y)). [para(10931(a,1),10100(a,1,1))]. given #9934 (H,wt=19): 10933 K(x,y / ((z * u) * x)) = K(x,y / ((z * x) * u)). [hyper(6695,a,10932,a)]. given #9935 (H,wt=19): 10934 K(x,y / ((z * x) * u)) = K(x,y / (x * (z * u))). [hyper(10496,a,10933,a),flip(a)]. given #9936 (H,wt=19): 10937 K(x,y / ((x * z) * u)) = K(x,y / (x * (z * u))). [hyper(228,a,8815,a(flip),b,10934,a(flip)),flip(a)]. given #9937 (H,wt=21): 10938 x * K(x,y / (x * (z * u))) = T(x,y / ((x * z) * u)). [para(10937(a,1),4705(a,2,2)),flip(a)]. given #9938 (H,wt=24): 10936 K(x,((y * x) * z) / (x * (y * (y \ z)))) = L(K(x,y),z,y * x). [hyper(10814,a,10934,a),flip(a)]. given #9939 (H,wt=20): 10939 L(K(x,y),z,y * x) = K(x,((y * x) * z) / (x * z)). [para(14(a,1),10936(a,1,2,2,2)),flip(a)]. given #9940 (H,wt=15): 10940 L(K(x,y),z,y * x) = K(x,R(y,x,z)). [para(30(a,2),10939(a,2,2))]. given #9941 (H,wt=10): 10943 K(x,R(y,x,z)) = K(x,y). [hyper(228,a,10638,a(flip),b,10940,a(flip))]. given #9942 (H,wt=10): 10944 K(R(x,y,z),y) = K(x,y). [hyper(10798,a,10943,a)]. given #9943 (H,wt=13): 10952 K(x,y) != z | K(R(x,y,u),y) = z. [para(10943(a,1),10798(a,1))]. given #9944 (H,wt=13): 10953 K(R(x,y,z),y) = K(R(x,y,u),y). [hyper(228,a,10944,a,b,10944,a)]. given #9945 (H,wt=14): 10945 R(K(x \ y,x),y,z) = K(x \ y,x). [hyper(6950,a,10943,a)]. given #9946 (H,wt=15): 10948 K(x,y / (z * x)) = K(x,x \ (y / z)). [hyper(228,a,9572,a(flip),b,10943,a(flip)),flip(a)]. given #9947 (H,wt=15): 10956 T(x,R(y,x,z)) = x * K(R(x,y,u),y). [para(10953(a,1),9143(a,1,2)),flip(a)]. given #9948 (H,wt=10): 10964 T(x,R(y,x,z)) = T(x,y). [hyper(228,a,7037,a(flip),b,10956,a)]. given #9949 (H,wt=15): 10958 K(x / (y * z),y) = K(y \ (x / z),y). [hyper(6514,a,10945,a)]. given #9950 (H,wt=15): 10959 K(x,y / (x * z)) = K(x,x \ (y / z)). [hyper(10496,a,10948,a)]. given #9951 (H,wt=15): 10961 K(x,(x \ y) / z) = K(x,x \ (y / z)). [hyper(228,a,8383,a,b,10948,a(flip)),flip(a)]. given #9952 (H,wt=15): 10967 K((x \ y) / z,x) = K(x \ (y / z),x). [hyper(228,a,8541,a,b,10958,a(flip)),flip(a)]. given #9953 (H,wt=15): 10971 K(x,x \ ((x * y) / z)) = K(x,y / z). [para(13(a,1),10961(a,1,2,1)),flip(a)]. given #9954 (H,wt=16): 10949 K(x,R(R(y,x,z),u,w)) = K(x,R(y,u,w)). [para(46(a,1),10943(a,1,2))]. given #9955 (H,wt=17): 10942 R(K(x,y),z,T(y * x,z)) = K(x,R(y,x,z)). [hyper(9932,a,10940,a)]. given #9956 (H,wt=17): 10947 ((x * y) * z) \ ((y * x) * z) = K(y,T(x,z)). [hyper(228,a,9300,a,b,10943,a(flip)),flip(a)]. given #9957 (H,wt=17): 10968 K(x,T((x * y) \ z,y)) = K(x,x \ (z / y)). [hyper(9116,a,10959,a)]. given #9958 (H,wt=17): 10970 K(x,x \ (y * (z \ 1))) = K(x,x \ (y / z)). [hyper(228,a,10651,a,b,10961,a(flip)),flip(a)]. given #9959 (H,wt=19): 10962 K(x,y / ((z * x) * u)) = K(x,x \ (y / (z * u))). [hyper(228,a,10933,a(flip),b,10948,a(flip)),flip(a)]. given #9960 (H,wt=19): 10972 K(x \ (y / z),x) * z = z * K(z \ (x \ y),x). [para(10967(a,1),7325(a,1,1))]. given #9961 (H,wt=17): 10978 K(x \ (y / z),T(x,z)) = K(z \ (x \ y),x). [hyper(7282,a,10972,a)]. given #9962 (H,wt=17): 10979 K(x \ (y / z),T(x,y)) = K(z \ (x \ y),x). [hyper(228,a,9120,a(flip),b,10978,a(flip)),flip(a)]. given #9963 (H,wt=19): 10977 K(x,x \ (y / ((x \ z) * u))) = K(x,y / (z * u)). [hyper(228,a,8816,a(flip),b,10962,a(flip))]. given #9964 (H,wt=19): 10981 K(x,(x * y) / (z * u)) = K(x,y / ((x \ z) * u)). [hyper(228,a,10971,a(flip),b,10977,a(flip))]. given #9965 (H,wt=21): 10969 x * K(x,x \ (y / (z * u))) = T(x,y / ((x * z) * u)). [para(10959(a,1),10938(a,1,2))]. given #9966 (H,wt=19): 10983 T(x,y / ((x * z) * u)) = T(x,x \ (y / (z * u))). [hyper(4708,a,10969,a),flip(a)]. given #9967 (H,wt=21): 10976 K(T(x,y),(y \ 1) * (T(x,y) \ z)) = K(x,x \ (z / y)). [hyper(228,a,10682,a,b,10968,a(flip)),flip(a)]. given #9968 (H,wt=19): 10984 K(T(x,y),y \ (T(x,y) \ z)) = K(x,x \ (z / y)). [hyper(5792,a,10976,a)]. given #9969 (H,wt=21): 10980 K(T(x,y),x \ (y / z)) = (u * K(z \ (x \ y),x)) \ u. [para(10979(a,1),5037(a,1,1,2)),flip(a)]. given #9970 (H,wt=17): 10985 K(T(x,y),x \ (y / z)) = K(x,z \ (x \ y)). [hyper(228,a,5037,a(flip),b,10980,a)]. given #9971 (H,wt=17): 10986 K(x,T(x \ (y / z),y)) = K(x,z \ (x \ y)). [hyper(7637,a,10985,a)]. given #9972 (H,wt=17): 10987 K(x,(y \ z) \ (x \ z)) = K(x,T(x \ y,z)). [para(61(a,1),10986(a,1,2,1,2)),flip(a)]. given #9973 (H,wt=22): 10973 R(K(x,R(y,x,z)),(y * x) * z,u) = K(x,R(y,x * z,u)). [hyper(6952,a,10949,a)]. given #9974 (H,wt=19): 10989 R(K(x,y),(y * x) * z,u) = K(x,R(y,x * z,u)). [para(10943(a,1),10973(a,1,1))]. given #9975 (H,wt=22): 10982 K(x,y / ((x \ z) * u)) != w | K(x,((z * u) / y) \ x) = w. [para(10981(a,1),6943(a,1))]. given #9976 (H,wt=24): 10974 K(x,R(y,x,z)) * ((y * x) * z) = (K(x,y) * z) * T(y * x,z). [para(10942(a,1),484(a,1,1))]. given #9977 (H,wt=21): 10991 (K(x,y) * z) * T(y * x,z) = (y * (K(x,y) * x)) * z. [hyper(228,a,6933,a(flip),b,10974,a(flip))]. given #9978 (H,wt=17): 10992 (K(x,y) * z) * T(y * x,z) = (x * y) * z. [para(4783(a,1),10991(a,2,1))]. given #9979 (H,wt=15): 10993 (x * y) * (K(y,x) * z) = (y * x) * z. [hyper(228,a,8975,a(flip),b,10992,a(flip)),flip(a)]. given #9980 (H,wt=10): 10994 L(x,K(y,z),z * y) = x. [hyper(766,a,10993,a)]. given #9981 (H,wt=15): 10995 K(x,y) * ((y * x) * z) = (x * y) * z. [hyper(228,a,10646,a,b,10993,a(flip)),flip(a)]. given #9982 (H,wt=10): 11000 L(x,y * z,K(z,y)) = x. [hyper(4819,a,10995,a)]. given #9983 (H,wt=11): 11005 L(x,T(y,z),z) = L(x,y,z). [hyper(6755,a,11000,a)]. given #9984 (H,wt=12): 11008 L(x,T(y,z) * z,K(z,y)) = x. [para(4871(a,1),11000(a,1,3))]. given #9985 (H,wt=11): 11015 L(x,y,T(z,y)) = L(x,y,z). [hyper(10272,a,11008,a),flip(a)]. given #9986 (H,wt=13): 11009 L(x,y / z,z) = L(x,z \ y,z). [para(115(a,1),11005(a,1,2)),flip(a)]. given #9987 (H,wt=14): 11016 L(x,y,T(z,y)) != u | L(x,y,z) = u. [para(11008(a,1),10272(a,1))]. given #9988 (H,wt=13): 11021 K(x,y) != z | L(K(x,y),x,u) = z. [para(5507(a,1),11016(a,1))]. given #9989 (H,wt=13): 11022 K(x,y) != z | L(K(x,y),y,u) = z. [para(6600(a,1),11016(a,1))]. given #9990 (H,wt=15): 10996 K(x,y) \ ((x * y) * z) = (y * x) * z. [hyper(71,a,10993,a(flip),b,10646,a)]. given #9991 (H,wt=16): 11007 L(x,y,z) = (y * z) \ (z * (T(y,z) * x)). [hyper(228,a,6754,a(flip),b,11000,a(flip))]. given #9992 (H,wt=16): 11019 L(x,(x * y) / x,x) != z | L(x,y,x) = z. [para(4197(a,2),11016(a,1))]. given #9993 (H,wt=16): 11020 L(x,y / z,z) != u | L(x,z \ y,z) = u. [para(4244(a,1),11016(a,1))]. given #9994 (H,wt=16): 11026 (x * (T(y,x) * z)) / L(z,y,x) = y * x. [para(11007(a,2),61(a,1,2))]. given #9995 (H,wt=17): 11006 L(x,K(y,z),z * y) = L(x,u * w,K(w,u)). [hyper(228,a,10994,a,b,11000,a),flip(a)]. given #9996 (H,wt=17): 11024 (x * K(y,x)) / x != z | L(K(y,x),x,u) = z. [para(2502(a,2),11022(a,1))]. given #9997 (H,wt=19): 11002 K(x,y) * (z * (y * x)) = (x * y) * T(z,y * x). [para(113(a,1),10995(a,1,2))]. given #9998 (H,wt=19): 11029 T(x * (y * z),K(y,z)) = (y * z) * T(x,z * y). [hyper(10634,a,11002,a)]. given #9999 (H,wt=19): 11030 T(x * (y * z),K(z,y)) = (y * z) * T(x,z * y). [hyper(7801,a,11029,a)]. given #10000 (H,wt=22): 10998 (x * y) * (K(y,x) * z) != u * w | u \ ((y * x) * z) = w. [para(10993(a,2),437(a,1))]. given #10001 (H,wt=22): 11001 K(x,y * z) \ ((x * y) * z) = ((y * z) * x) * a(x,y,z). [hyper(71,a,89,a(flip),b,10995,a)]. given #10002 (H,wt=21): 11031 ((x * y) * z) * a(z,x,y) = R(z,x,y) * T(x * y,z). [hyper(228,a,8530,a(flip),b,11001,a(flip))]. given #10003 (H,wt=25): 11023 T(K(x,(y \ z) \ 1),u) != w | L(T(K(x,z \ y),u),z \ y,v5) = w. [para(6643(a,1),11016(a,1))]. given #10004 (H,wt=26): 11028 L(x,K(y,z),z * y) * (u * w) = K(u,w) * ((w * u) * T(x,u * w)). [para(11006(a,2),6467(a,2,1)),flip(a)]. given #10005 (H,wt=26): 11033 L(x,K(y,z),z * y) * (u * w) = K(u,w) * T(x * (w * u),K(u,w)). [para(11030(a,2),11028(a,2,2))]. given #10006 (H,wt=22): 11034 L(x,K(y,z),z * y) * (u * w) = (x * (w * u)) * K(u,w). [hyper(228,a,113,a(flip),b,11033,a)]. given #10007 (H,wt=22): 11035 L(x,y * z,K(z,y)) * (u * w) = (x * (w * u)) * K(u,w). [para(11006(a,1),11034(a,1,1))]. given #10008 (H,wt=22): 11036 L(x,y * z,K(z,y)) = ((x * (u * w)) * K(w,u)) / (w * u). [hyper(85,a,11035,a),flip(a)]. given #10009 (H,wt=27): 10963 K(1 / x,(1 / x) \ (y / ((x * z) \ x))) = K(1 / x,y / (z \ (1 / x))). [para(4558(a,1),10948(a,1,2,2)),flip(a)]. given #10010 (H,wt=28): 10966 T(R(x,y,z),(u * (y * z)) / ((x * y) * z)) = T(R(x,y,z),u / R(x,y,z)). [para(504(a,1),10964(a,1,2))]. given #10011 (H,wt=28): 10988 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,(1 / z) \ y)). [hyper(228,a,8324,a,b,10987,a(flip)),flip(a)]. given #10012 (H,wt=28): 11037 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = T(R(x,z,u),y / R(x,z,u)). [hyper(228,a,42,a,b,10966,a(flip)),flip(a)]. given #10013 (H,wt=28): 11038 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,(z \ 1) \ y)). [para(4343(a,1),10988(a,2,2))]. given #10014 (H,wt=26): 11040 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,z \ 1)). [hyper(228,a,8547,a(flip),b,11038,a)]. given #10015 (H,wt=24): 11041 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,z)). [hyper(228,a,8136,a(flip),b,11040,a)]. given #10016 (H,wt=15): 11042 K(x,x \ T(y,z)) = K(x,T(x \ y,z)). [hyper(228,a,10633,a(flip),b,11041,a(flip)),flip(a)]. given #10017 (H,wt=15): 11045 K(x,x \ T(x * y,z)) = K(x,T(y,z)). [para(13(a,1),11042(a,2,2,1))]. given #10018 (H,wt=17): 11044 K(K(x,y) * z,z \ x) = K(z,T(z \ x,y)). [hyper(228,a,10366,a,b,11042,a(flip)),flip(a)]. given #10019 (H,wt=21): 11046 K(x,T(y,z)) \ T(x * y,z) = (x \ T(x * y,z)) * x. [para(11045(a,1),4726(a,1,1))]. given #10020 (H,wt=17): 11048 K(x,T(y,z)) \ T(x * y,z) = T(y * x,z). [hyper(228,a,4471,a(flip),b,11046,a)]. given #10021 (H,wt=18): 11049 K(x,T(y * x,z)) != u | K(x,T(x * y,z)) = u. [para(11048(a,1),8305(a,1,2))]. given #10022 (H,wt=23): 11047 K(x,T(x \ y,z)) * (K(y,z) * x) = T(K(y,z) * x,x \ y). [para(11044(a,1),4712(a,2,1)),flip(a)]. given #10023 (H,wt=19): 11050 T(K(x,y) * z,z \ x) = T(z,z \ x) * K(x,y). [hyper(228,a,9264,a(flip),b,11047,a(flip))]. given #10024 (H,wt=23): 11051 (x \ y) * T(K(y,z) * x,x \ y) = (y / x) * (x * K(y,z)). [para(11050(a,2),5952(a,1,2))]. given #10025 (H,wt=19): 11052 (K(x,y) * z) * (z \ x) = (x / z) * (z * K(x,y)). [hyper(219,a,11051,a)]. given #10026 (H,wt=13): 11053 T(x,y) / (z \ x) = K(x,y) * z. [hyper(72,a,6261,a(flip),b,11052,a)]. given #10027 (H,wt=13): 11054 (K(x,y) * z) \ T(x,y) = z \ x. [hyper(71,a,6261,a(flip),b,11052,a)]. given #10028 (H,wt=12): 11058 L(x \ y,x,K(y,z)) = x \ y. [hyper(4791,a,11054,a)]. given #10029 (H,wt=10): 11059 a(K(x,y),z,z \ x) = 1. [hyper(34,a,11058,a)]. given #10030 (H,wt=13): 11056 K(x,y) * (1 / z) = K(x,y) / z. [hyper(228,a,6882,a(flip),b,11053,a(flip))]. given #10031 (H,wt=15): 11062 (1 / x) * K(y,T(z,x)) = K(y,z) / x. [hyper(228,a,8140,a,b,11056,a(flip)),flip(a)]. given #10032 (H,wt=15): 11066 T(x,y) * (1 / z) = x * (K(x,y) / z). [para(11056(a,1),4675(a,1,2)),flip(a)]. given #10033 (H,wt=17): 11063 K(x,y) * (K(z,u) / u) = K(x,y) / T(u,z). [hyper(228,a,4804,a,b,11056,a(flip)),flip(a)]. given #10034 (H,wt=17): 11064 K(x,y) * ((1 / z) * u) = K(x,y) / (u \ z). [para(326(a,1),11056(a,1,2))]. given #10035 (H,wt=17): 11068 (1 / (1 / x)) * K(y,z) = 1 / (K(z,y) / x). [para(11056(a,1),5048(a,1,2)),flip(a)]. given #10036 (H,wt=19): 11067 K(x,y) / (z * K(u,w)) = K(x,y) * (K(w,u) / z). [para(4898(a,1),11056(a,1,2)),flip(a)]. given #10037 (H,wt=19): 11073 T(x,y) * (1 / (z * T(x,y))) = x * (1 / (z * x)). [para(5273(a,1),11066(a,2,2))]. given #10038 (H,wt=19): 11075 1 / (K(x \ 1,x) / y) = x * (1 / ((1 / y) * x)). [hyper(228,a,6841,a(flip),b,11068,a(flip))]. given #10039 (H,wt=19): 11076 1 / ((x \ 1) * (x / y)) = x * (1 / ((1 / y) * x)). [para(3463(a,1),11075(a,1,2))]. given #10040 (H,wt=21): 11065 K(x,y) * ((1 / (1 / z)) \ u) = K(x,y) / ((u \ 1) * z). [para(323(a,1),11056(a,1,2))]. given #10041 (H,wt=15): 11078 K(x \ 1,x) / ((y \ 1) * x) = x \ y. [hyper(228,a,5954,a(flip),b,11065,a(flip))]. given #10042 (H,wt=19): 11079 K(x \ 1,x) / ((y \ (z \ 1)) * x) = x \ (z * y). [para(118(a,1),11078(a,1,2,1))]. given #10043 (H,wt=21): 11069 K(x,y) * ((1 / z) * K(u,w)) = K(x,y) / (K(w,u) * z). [para(5048(a,1),11056(a,1,2))]. given #10044 (H,wt=21): 11080 K(x,y / ((z \ (u \ 1)) * w)) = K(x,y * (w \ (u * z))). [para(11079(a,1),6165(a,1,2,2)),flip(a)]. given #10045 (H,wt=22): 11055 ((x / y) * (y * K(x,z))) / T(x,z) = a(K(x,z),y,y \ x). [para(11052(a,1),10268(a,1,1))]. given #10046 (H,wt=22): 11070 L(x \ (K(y,z) / u),x,K(z,y)) = ((K(z,y) * x) \ 1) / u. [para(11056(a,1),6291(a,1,1,2))]. given #10047 (H,wt=20): 11082 L(x \ (K(y,z) / u),x,K(z,y)) = (x \ K(y,z)) / u. [para(4893(a,1),11070(a,2,1))]. given #10048 (H,wt=23): 11071 K(x,T(T(x,y) \ (z \ 1),y)) = x * (K(x,y) / T(T(x,y),z)). [para(11056(a,1),7208(a,1,2)),flip(a)]. given #10049 (H,wt=21): 11083 x * (K(x,y) / T(T(x,y),z)) = K(x,T(x \ (z \ 1),y)). [hyper(228,a,7481,a(flip),b,11071,a(flip))]. given #10050 (H,wt=19): 11085 K(x,T(x \ (y \ 1),z)) = x * (1 / T(x,T(y,z))). [para(7530(a,1),11083(a,1,2)),flip(a)]. given #10051 (H,wt=19): 11086 K(x,x \ (T(y,z) \ 1)) = K(x,T(x \ (y \ 1),z)). [hyper(228,a,6857,a,b,11085,a),flip(a)]. given #10052 (H,wt=24): 11074 (K(x,y) * (1 / z)) \ (K(x,y) / (u \ z)) = L(u,1 / z,K(x,y)). [hyper(71,a,11064,a(flip),b,100,a)]. given #10053 (H,wt=22): 11088 (K(x,y) / z) \ (K(x,y) / (u \ z)) = L(u,1 / z,K(x,y)). [para(11056(a,1),11074(a,1,1))]. given #10054 (H,wt=24): 11089 L(x,1 / (x * y),K(z,u)) = (K(z,u) / (x * y)) \ (K(z,u) / y). [para(13(a,1),11088(a,1,2,2)),flip(a)]. given #10055 (H,wt=19): 11090 L(x,1 / (x * y),K(z,u)) = R(x,y,K(z,u) \ 1). [hyper(228,a,1025,a(flip),b,11089,a)]. given #10056 (H,wt=17): 11091 L(x,1 / (x * y),K(z,u)) = R(x,y,K(u,z)). [para(4879(a,1),11090(a,2,3))]. given #10057 (H,wt=25): 11087 K(x,T(x \ ((1 / (y * z)) \ 1),y)) = K(x,x \ ((y \ (1 / z)) \ 1)). [para(322(a,1),11086(a,1,2,2,1)),flip(a)]. given #10058 (H,wt=25): 11093 K(x,T(x \ ((1 / (y * z)) \ 1),y)) = K(x,x \ (z * ((y \ 1) \ 1))). [para(306(a,1),11087(a,2,2,2))]. given #10059 (H,wt=23): 11094 K(x,T(x \ ((1 / (y * z)) \ 1),y)) = K(x,x \ (z / (y \ 1))). [hyper(228,a,10970,a(flip),b,11093,a)]. given #10060 (H,wt=23): 11095 K(x,T(x \ ((1 / (y * z)) \ 1),y)) = K(x,x \ ((1 / z) \ y)). [para(317(a,1),11094(a,2,2,2))]. given #10061 (H,wt=21): 11096 K(x,T(x \ ((1 / (y * z)) \ 1),y)) = K(x,z * (x \ y)). [hyper(228,a,10607,a(flip),b,11095,a)]. given #10062 (H,wt=17): 11097 K(x,T(x \ (y * z),y)) = K(x,z * (x \ y)). [para(64(a,1),11096(a,1,2,1,2))]. given #10063 (H,wt=26): 11077 a(x * (1 / ((1 / y) * x)),x \ 1,z) = ((z \ x) / y) / (z \ (x / y)). [para(11076(a,1),10260(a,1,1))]. given #10064 (H,wt=26): 11081 ((x / y) * (y * K(z,x))) \ ((z * x) / z) = T(a(K(x,z),y,y \ x),x). [para(11055(a,1),10913(a,1,1)),flip(a)]. given #10065 (H,wt=24): 11099 ((x / y) * (y * K(z,x))) \ ((z * x) / z) = a(K(x,z),y,y \ x). [hyper(228,a,9072,a(flip),b,11081,a)]. given #10066 (H,wt=17): 11100 a(K(x,y),z,z \ x) = a(x / z,z,K(y,x)). [hyper(228,a,4839,a(flip),b,11099,a(flip))]. given #10067 (H,wt=21): 11101 a(K(x * y,z),y,y \ (x * y)) = a(x,y,K(z,x * y)). [para(15(a,1),11100(a,2,1))]. given #10068 (H,wt=19): 11102 a(K(x * y,z),y,T(x,y)) = a(x,y,K(z,x * y)). [para(32(a,2),11101(a,1,3))]. given #10069 (H,wt=26): 11103 T(x * y,z) * a(x,y,K(z,x * y)) = (K(x * y,z) * y) * T(x,y). [para(11102(a,1),4792(a,1,2))]. given #10070 (H,wt=21): 11104 (K(x * y,z) * y) * T(x,y) = x * (y * K(x * y,z)). [hyper(228,a,9706,a(flip),b,11103,a(flip))]. given #10071 (H,wt=24): 11105 (K(x * y,z) * y) * T(x,y) != x * u | y * K(x * y,z) = u. [para(11104(a,2),19(a,1))]. given #10072 (H,wt=28): 11039 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = T(R(x,z,u),R(x,z,u) \ y). [hyper(228,a,3944,a(flip),b,11037,a)]. given #10073 (H,wt=28): 11106 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = R(T(x,R(x,z,u) \ y),z,u). [hyper(228,a,42,a,b,11039,a)]. given #10074 (H,wt=28): 11107 R(T(x,x \ ((y * (z * u)) / (z * u))),z,u) = R(T(x,R(x,z,u) \ y),z,u). [para(10983(a,1),11106(a,1,1))]. given #10075 (H,wt=20): 11108 R(T(x,R(x,y,z) \ u),y,z) = R(T(x,x \ u),y,z). [para(15(a,1),11107(a,1,1,2,2)),flip(a)]. given #10076 (H,wt=17): 11109 R(T(x,x \ y),z,u) = (R(x,z,u) \ y) \ y. [hyper(649,a,11108,a),flip(a)]. given #10077 (H,wt=17): 11111 R((x \ y) \ y,z,u) = (R(x,z,u) \ y) \ y. [hyper(228,a,1045,a(flip),b,11109,a(flip)),flip(a)]. given #10078 (H,wt=17): 11113 (R(x / y,z,u) \ x) \ x = R(y \ x,z,u). [para(583(a,1),11109(a,1,1)),flip(a)]. given #10079 (H,wt=19): 11112 (R(x,y,z) \ (x * u)) \ (x * u) = R(T(x,u),y,z). [para(13(a,1),11109(a,1,1,2)),flip(a)]. given #10080 (H,wt=21): 11120 K(x,R(x / y,z,u) \ w) = K(x,R(y \ x,z,u) \ w). [para(11113(a,1),6761(a,1,2,1)),flip(a)]. given #10081 (H,wt=24): 11121 R(T(x,R(x,y,z) * u),y,z) = (x * u) \ (x * (R(x,y,z) * u)). [para(1224(a,1),11112(a,1,1)),flip(a)]. given #10082 (H,wt=21): 11122 R(T(x,R(x,y,z) * u),y,z) = L(T(R(x,y,z),u),u,x). [hyper(228,a,179,a(flip),b,11121,a)]. given #10083 (H,wt=21): 11123 R(T(x,R(x,y,z) * u),y,z) = L(R(T(x,u),y,z),u,x). [para(42(a,2),11122(a,2,1))]. given #10084 (H,wt=20): 11124 R(T(x,R(x,y,z) * u),y,z) = R(T(x,x * u),y,z). [hyper(228,a,677,a(flip),b,11123,a)]. given #10085 (H,wt=25): 11125 R(T(x,x * y),z,u) \ R(x,z,u) = K(R(x,z,u) * y,R(x,z,u)). [para(11124(a,1),4657(a,1,1))]. given #10086 (H,wt=20): 11126 K(R(x,y,z) * u,R(x,y,z)) = K(x * u,R(x,y,z)). [hyper(4926,a,11125,a),flip(a)]. given #10087 (H,wt=20): 11127 K(x * R(y,z,u),R(y,z,u)) = K(y * x,R(y,z,u)). [hyper(7391,a,11126,a)]. given #10088 (H,wt=20): 11128 K(x * R(y,z,u),R(y,z,u)) = K(x * y,R(y,z,u)). [hyper(228,a,9900,a,b,11127,a)]. given #10089 (H,wt=29): 11003 (K(x,y) * (y * (x * z))) \ ((x * y) * z) = L(a(y,x,z),y * (x * z),K(x,y)). [para(10995(a,1),463(a,1,2))]. given #10090 (H,wt=29): 11110 (R(x,y,z) * u) / (R(T(x,x \ w),y,z) * u) = K(R(x,y,z) \ w,R(x,y,z)). [para(11108(a,1),5152(a,1,2,1))]. given #10091 (H,wt=20): 11130 K(R(x,y,z) \ u,R(x,y,z)) = K(x \ u,R(x,y,z)). [hyper(6473,a,11110,a),flip(a)]. given #10092 (H,wt=23): 11131 K(R(x,y,z) \ u,R(x,y,z)) != w | K(x \ u,R(x,y,z)) = w. [para(11110(a,1),6473(a,1))]. given #10093 (H,wt=29): 11129 (x * (K(y,x) * (y * z))) \ ((y * x) * z) = L(a(x,y,z),x * (y * z),K(y,x)). [para(5164(a,1),11003(a,1,1))]. given #10094 (H,wt=27): 11135 L(a(x,y,z),x * (y * z),K(y,x)) = (x * (T(y,x) * z)) \ ((y * x) * z). [para(4720(a,1),11129(a,1,1,2)),flip(a)]. given #10095 (H,wt=23): 11136 L(a(x,y,z),x * (y * z),K(y,x)) != u | a(x,T(y,x),z) = u. [para(11135(a,2),909(a,1))]. given #10096 (H,wt=31): 10935 K(T(x,y * z),u / ((y * T(x,y * z)) * z)) = K(T(x,y * z),u / (x * (y * z))). [para(113(a,1),10933(a,1,2,2)),flip(a)]. given #10097 (H,wt=31): 11117 R(((x * K(y,x)) \ y) \ y,z,u) = (R(x,z,u) \ ((R(x,z,u) * y) / R(x,z,u))) \ y. [para(5833(a,1),11111(a,2,1))]. given #10098 (H,wt=26): 11138 R(((x * K(y,x)) \ y) \ y,z,u) = (R(x,z,u) \ y) \ T(y,R(x,z,u)). [hyper(228,a,6677,a(flip),b,11117,a)]. given #10099 (H,wt=24): 11139 (R(x,y,z) \ u) \ T(u,R(x,y,z)) = R((x \ u) \ T(u,x),y,z). [para(6675(a,1),11138(a,1,1)),flip(a)]. given #10100 (H,wt=31): 11134 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(11130(a,1),4632(a,1,1,2))]. given #10101 (H,wt=28): 11141 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(5822(a,1),11134(a,1,1))]. given #10102 (H,wt=28): 11142 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(228,a,42,a,b,11141,a(flip)),flip(a)]. given #10103 (H,wt=25): 11143 L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = R(L(x,x \ u,x),y,z). [para(4632(a,1),11142(a,1,1)),flip(a)]. given #10104 (H,wt=25): 11144 L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = L(R(x,y,z),x \ u,x). [hyper(228,a,44,a(flip),b,11143,a)]. given #10105 (H,wt=31): 11137 K(T(x,y * z),u / ((y * T(x,y * z)) * z)) = K(x,T(u / (x * (y * z)),y * z)). [hyper(228,a,7202,a(flip),b,10935,a)]. given #10106 (H,wt=27): 11146 K(T(x,y * z),u / ((y * T(x,y * z)) * z)) = K(x,(y * z) \ (x \ u)). [hyper(228,a,8207,a(flip),b,11137,a)]. given #10107 (H,wt=27): 11147 K(x,T(y / ((z * T(x,z * u)) * u),z * u)) = K(x,(z * u) \ (x \ y)). [hyper(7637,a,11146,a)]. given #10108 (H,wt=23): 11148 K(x,T(y / ((z * x) * u),z * u)) = K(x,(z * u) \ (x \ y)). [hyper(228,a,10533,a(flip),b,11147,a(flip)),flip(a)]. given #10109 (H,wt=19): 11150 K(x,((y * x) * z) \ u) = K(x,(y * z) \ (x \ u)). [hyper(228,a,9105,a(flip),b,11148,a(flip)),flip(a)]. given #10110 (H,wt=17): 11152 K(x,((y * x) * (y \ 1)) \ z) = K(x,x \ z). [para(123(a,1),11150(a,2,2))]. given #10111 (H,wt=18): 11153 K(x,a(x,y,y \ 1) \ z) = K(x,x \ (x * z)). [hyper(228,a,9611,a(flip),b,11152,a(flip)),flip(a)]. given #10112 (H,wt=14): 11155 K(x,a(x,y,y \ 1) \ z) = K(x,z). [para(13(a,1),11153(a,2,2))]. given #10113 (H,wt=16): 11156 K(x,y \ R(x,z,z \ 1)) = K(x,y \ x). [hyper(228,a,9257,a(flip),b,11155,a(flip))]. given #10114 (H,wt=17): 11158 K(x,y \ ((z * x) * (z \ 1))) = K(x,y \ x). [hyper(228,a,8626,a,b,11156,a(flip)),flip(a)]. given #10115 (H,wt=19): 11151 K(x,((x \ y) * z) \ (x \ u)) = K(x,(y * z) \ u). [hyper(228,a,8652,a(flip),b,11150,a(flip))]. given #10116 (H,wt=17): 11161 K(x,((x \ y) * z) \ 1) = K(x,(y * z) \ x). [para(52(a,1),11151(a,1,2,2))]. given #10117 (H,wt=32): 11027 L(x,y / T(z,z \ u),(z \ u) \ u) != w | L(x,((z \ u) \ u) \ y,(z \ u) \ u) = w. [para(618(a,2),11020(a,1,2))]. given #10118 (H,wt=28): 11162 L(x,T(y,y \ z) \ 1,y) != u | L(x,((y \ z) \ z) \ 1,(y \ z) \ z) = u. [para(4182(a,1),11027(a,1))]. given #10119 (H,wt=32): 11160 R(K(x,T(y,(z * x) * (z \ 1))),z * x,z \ 1) = K(x,((y \ (z * x)) * (z \ 1)) \ x). [hyper(228,a,9442,a(flip),b,11158,a(flip)),flip(a)]. given #10120 (H,wt=30): 11163 R(K(x,T(y,(z * x) / z)),z * x,z \ 1) = K(x,((y \ (z * x)) * (z \ 1)) \ x). [para(8829(a,1),11160(a,1,1))]. given #10121 (H,wt=28): 11164 R(K(x,T(y,T(x,z))),z * x,z \ 1) = K(x,((y \ (z * x)) * (z \ 1)) \ x). [para(7929(a,1),11163(a,1,1,2))]. given #10122 (H,wt=24): 11165 K(x,((y \ (z * x)) * (z \ 1)) \ x) = R(K(x,y),z * x,z \ 1). [para(5103(a,1),11164(a,1,1)),flip(a)]. given #10123 (H,wt=22): 11166 K(x,((y \ (z * x)) * (z \ 1)) \ x) = K(R(x,z,z \ 1),y). [hyper(228,a,9138,a(flip),b,11165,a)]. given #10124 (H,wt=27): 11168 K(R(x,y,y \ 1),R(z,z \ y,x)) = K(x,(((z \ y) * x) * (y \ 1)) \ x). [para(472(a,1),11166(a,1,2,1,1)),flip(a)]. given #10125 (H,wt=25): 11169 R(K(R(x,y,y \ 1),z),y,x) = K(x,(((z \ y) * x) * (y \ 1)) \ x). [hyper(6950,a,11168,a)]. given #10126 (H,wt=22): 11170 K(x,(((y \ z) * x) * (z \ 1)) \ x) = K(R(x,z,z \ 1),y). [hyper(228,a,10438,a(flip),b,11169,a(flip))]. given #10127 (H,wt=22): 11172 K(x,((y \ z) * (z \ 1)) \ (x \ x)) = K(R(x,z,z \ 1),y). [hyper(228,a,11150,a(flip),b,11170,a(flip)),flip(a)]. given #10128 (H,wt=20): 11173 K(x,((y \ z) * (z \ 1)) \ 1) = K(R(x,z,z \ 1),y). [para(52(a,1),11172(a,1,2,2))]. given #10129 (H,wt=17): 11174 R(K(x,y),z,z \ 1) = K(R(x,z,z \ 1),y). [hyper(228,a,6956,a(flip),b,11173,a(flip)),flip(a)]. given #10130 (H,wt=19): 11176 R(K(x,y),z,z \ 1) \ 1 = K(y,R(x,z,z \ 1)). [para(11174(a,2),4879(a,1,1))]. given #10131 (H,wt=17): 11177 R(K(x,y),z,z \ 1) = K(x,R(y,z,z \ 1)). [hyper(6917,a,11176,a)]. given #10132 (H,wt=18): 11178 K(x,(y * z) * (z \ 1)) = R(K(x,y),z,z \ 1). [para(194(a,2),11177(a,2,2)),flip(a)]. given #10133 (H,wt=35): 10500 ((x * ((K(y,x / y) / (x \ y)) \ 1)) / x) \ 1 = x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)). [para(9877(a,2),10499(a,2,1,1,2,1)),flip(a)]. given #10134 (H,wt=33): 11179 ((x * ((x \ y) * K(x / y,y))) / x) \ 1 = x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)). [para(4896(a,1),10500(a,1,1,1,2))]. given #10135 (H,wt=31): 11180 ((x * ((y * (x / y)) \ y)) / x) \ 1 = x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)). [para(6258(a,1),11179(a,1,1,1,2))]. given #10136 (H,wt=27): 11181 x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)) = ((x / (x / y)) / x) \ 1. [para(5464(a,1),11180(a,1,1,1)),flip(a)]. given #10137 (H,wt=27): 11182 x / (x * ((1 / ((x / ((x \ y) \ 1)) / x)) \ 1)) = ((x / (x / y)) / x) \ 1. [para(2864(a,2),11181(a,1,2,2,1))]. given #10138 (H,wt=23): 11183 x / (x * ((x / ((x \ y) \ 1)) / x)) = ((x / (x / y)) / x) \ 1. [para(64(a,1),11182(a,1,2,2))]. given #10139 (H,wt=19): 11185 x / (x / ((y / x) \ 1)) = ((x / (x / y)) / x) \ 1. [para(10539(a,1),11183(a,1,2))]. given #10140 (H,wt=19): 11186 1 / (x / (x / ((y / x) \ 1))) = (x / (x / y)) / x. [para(11185(a,2),61(a,1,2))]. given #10141 (H,wt=35): 10653 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(6494(a,1),10610(a,1,2,2,1,2))]. given #10142 (H,wt=32): 11187 K(L(x,y,z),x \ ((u * (x \ (1 / L(x,y,z)))) \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). [hyper(228,a,10701,a(flip),b,10653,a(flip)),flip(a)]. given #10143 (H,wt=28): 11188 K(L(x,y,z),(u * (1 / L(x,y,z))) \ w) = K(L(x,y,z),(u * (1 / x)) \ w). [hyper(10688,a,11187,a)]. given #10144 (H,wt=28): 11189 K(L(x,y,z),L(x,y,z) * ((u * 1) \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). [hyper(228,a,10719,a(flip),b,11188,a(flip)),flip(a)]. given #10145 (H,wt=26): 11190 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). [para(12(a,1),11189(a,1,2,2,1))]. given #10146 (H,wt=26): 11191 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),(u * (x \ 1)) \ w). [hyper(228,a,5901,a(flip),b,11190,a)]. given #10147 (H,wt=26): 11192 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),x * ((u * 1) \ w)). [hyper(228,a,10770,a(flip),b,11191,a)]. given #10148 (H,wt=24): 11193 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),x * (u \ w)). [para(12(a,1),11192(a,2,2,2,1))]. given #10149 (H,wt=35): 10824 K(x,((1 / (K(y,(z \ x) \ 1) / y)) * z) \ (u * x)) = K(x,(((z \ x) \ 1) * (1 / (1 / y))) \ u). [para(5825(a,1),10823(a,1,2,1)),flip(a)]. given #10150 (H,wt=35): 10905 ((K(x,T(y,z)) * L(x,u,w)) * z) \ (L(x,u,w) * z) = R(K(y,L(x,z,L(x,u,w))),L(x,u,w),z). [para(8257(a,1),10904(a,2,1))]. given #10151 (H,wt=35): 10910 ((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(5035(a,1),8930(a,1,1,1))]. given #10152 (H,wt=31): 11196 ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = ((K(y,x) * z) * K(x,y)) * K(u,x). [para(2465(a,1),10910(a,1,1,2)),flip(a)]. given #10153 (H,wt=27): 11197 ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = T(z,K(x,y)) * K(u,x). [para(6002(a,1),11196(a,2,1))]. given #10154 (H,wt=27): 11198 ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = T(z * K(u,x),K(x,y)). [hyper(228,a,8776,a,b,11197,a)]. given #10155 (H,wt=23): 11199 (K(x,y) \ z) * (K(x,y) * K(u,x)) = T(z * K(u,x),K(x,y)). [para(2468(a,1),11198(a,1,1,1))]. given #10156 (H,wt=23): 11200 (K(x,y) * z) * (K(y,x) * K(u,y)) = T(z * K(u,y),K(y,x)). [para(5035(a,1),11199(a,1,1))]. given #10157 (H,wt=25): 11201 T((K(x,y) * z) * K(y,x),K(x,u)) = z * K(K(u,x) * K(x,y),z). [hyper(10505,a,11200,a),flip(a)]. given #10158 (H,wt=21): 11202 x * K(K(y,z) * K(z,u),x) = T(T(x,K(z,u)),K(z,y)). [para(7787(a,1),11201(a,1,1)),flip(a)]. given #10159 (H,wt=35): 10911 (K(x,T(y,z)) * K(y,T(u,z))) \ 1 = (K(y,u) * K(x,y)) \ K(K(y,u) * K(x,y),z * K(u,y)). [para(10060(a,1),8941(a,1,1))]. given #10160 (H,wt=35): 11140 (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(11139(a,1),9822(a,1,2))]. given #10161 (H,wt=34): 11204 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(4156(a,1),11140(a,1,2,1)),flip(a)]. given #10162 (H,wt=35): 11194 K(x,((1 / (K(y,(z \ x) \ 1) / y)) * z) \ (u * x)) = K(x,(((z \ x) \ 1) * (1 / (y \ 1))) \ u). [hyper(228,a,5902,a(flip),b,10824,a)]. given #10163 (H,wt=31): 11205 K(x,((1 / (K(y,(z \ x) \ 1) / y)) * z) \ (u * x)) = K(x,(((z \ x) \ 1) * y) \ u). [para(61(a,1),11194(a,2,2,1,2))]. given #10164 (H,wt=29): 11206 K(x,((1 / (K(y,x \ z) / y)) * z) \ (u * x)) = K(x,(((z \ x) \ 1) * y) \ u). [para(5558(a,1),11205(a,1,2,1,1,2,1))]. given #10165 (H,wt=21): 11207 K(x,(((y \ x) \ 1) * z) \ u) = K(x,((x \ y) * z) \ u). [hyper(228,a,10575,a(flip),b,11206,a(flip))]. given #10166 (H,wt=35): 11195 (L(x,y,z) * (K(x,T(u,w)) * w)) \ (L(x,y,z) * w) = R(K(u,L(x,w,L(x,y,z))),L(x,y,z),w). [para(4159(a,1),10905(a,1,1))]. given #10167 (H,wt=33): 11208 (L(x,y,z) * (u * K(x,w))) \ (L(x,y,z) * u) = R(K(w,L(x,u,L(x,y,z))),L(x,y,z),u). [para(7823(a,1),11195(a,1,1,2))]. given #10168 (H,wt=19): 11209 R(K(x,L(y,z,L(y,u,w))),L(y,u,w),z) = K(x,y). [hyper(8693,a,11208,a),flip(a)]. given #10169 (H,wt=13): 11210 R(K(x,y),L(y,z,u),w) = K(x,y). [para(8747(a,1),11209(a,1,1))]. given #10170 (H,wt=21): 11211 K((L(x,y,z) * u) / w,x) = K(L(x,y,z) / (w / u),x). [hyper(228,a,6741,a(flip),b,11210,a(flip)),flip(a)]. given #10171 (H,wt=21): 11213 K((L(x,y,z) * u) / w,x) = K((w / u) \ L(x,y,z),x). [hyper(228,a,5660,a(flip),b,11211,a)]. given #10172 (H,wt=25): 11214 K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K((u / w) \ L(x,y,z),x). [hyper(228,a,10511,a,b,11213,a(flip)),flip(a)]. given #10173 (H,wt=24): 11215 K((x / y) \ L(z,u,w),z) != v5 | K(y / (L(z,u,w) \ x),z) = v5. [para(11214(a,1),8168(a,1))]. given #10174 (H,wt=35): 11203 (K(x,y) * K(z,x)) \ K(K(x,y) * K(z,x),u * K(y,x)) = K(x,T(z,u)) * (K(T(y,u),x) * 1). [hyper(228,a,10049,a(flip),b,10911,a(flip))]. given #10175 (H,wt=35): 11216 (K(x,y) * K(z,x)) \ K(K(x,y) * K(z,x),u * K(y,x)) = K(x,T(z,u)) * (K(y,T(x,u)) * 1). [para(7202(a,1),11203(a,2,2,1))]. given #10176 (H,wt=33): 11217 (K(x,y) * K(z,x)) \ K(K(x,y) * K(z,x),u * K(y,x)) = K(x,T(z,u)) * K(y,T(x,u)). [para(12(a,1),11216(a,2,2))]. given #10177 (H,wt=36): 4866 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(4755(a,1),4145(a,2,2))]. given #10178 (H,wt=32): 11218 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(4757(a,1),4866(a,1,1,1,1))]. given #10179 (H,wt=28): 11219 T(x * L(L(y,z,u),x,y),y * K(x,y)) = L(y * K(x,y),z,u) * T(x,y). [para(6771(a,1),11218(a,1,1))]. given #10180 (H,wt=24): 11220 T(x * L(L(y,z,u),x,y),y * K(x,y)) = T(x,y) * L(y,z,u). [hyper(228,a,5444,a(flip),b,11219,a)]. given #10181 (H,wt=24): 11221 T(x * L(L(y,x,y),z,u),y * K(x,y)) = T(x,y) * L(y,z,u). [para(45(a,1),11220(a,1,1,2))]. given #10182 (H,wt=22): 11222 T(x * L(L(y,x,y),z,u),T(y,x)) = T(x,y) * L(y,z,u). [hyper(8178,a,11221,a)]. given #10183 (H,wt=20): 11223 T(x * L(L(y,x,y),z,u),y) = T(x,y) * L(y,z,u). [hyper(228,a,8155,a(flip),b,11222,a(flip)),flip(a)]. given #10184 (H,wt=32): 11224 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(11223(a,1),5478(a,1,2,2))]. given #10185 (H,wt=32): 11225 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(7323(a,1),11224(a,1,1))]. given #10186 (H,wt=36): 5963 a(1 / (x * y),x,y) \ T((1 / (x * y)) * x,y) = (y * ((1 / (x * y)) * x)) \ ((1 / (x * y)) * x). [para(191(a,1),5960(a,1,1))]. given #10187 (H,wt=21): 11226 (x * ((1 / (y * x)) * y)) \ ((1 / (y * x)) * y) = x \ 1. [hyper(228,a,2126,a(flip),b,5963,a(flip))]. given #10188 (H,wt=36): 6232 ((((x * y) * z) \ 1) \ ((x * (y * z)) \ 1)) * (x * (y * z)) = (x * (y * z)) * ((a(x,y,z) \ 1) \ 1). [para(24(a,2),6013(a,2,2,1,1))]. given #10189 (H,wt=36): 8480 K(x / ((y \ 1) * z),L(z,y \ 1,y) / (L(z,y \ 1,y) / y)) = K((y \ L(z,y \ 1,y)) \ x,y). [para(396(a,1),7902(a,1,1,2))]. given #10190 (H,wt=28): 11230 K(x / ((y \ 1) * z),y * K(y \ z,y)) = K((y \ L(z,y \ 1,y)) \ x,y). [para(6678(a,1),8480(a,1,2))]. given #10191 (H,wt=26): 11231 K(T(x / ((y \ 1) * z),y \ z),y) = K((y \ L(z,y \ 1,y)) \ x,y). [hyper(7915,a,11230,a)]. given #10192 (H,wt=23): 11232 K(T(x / ((y \ 1) * z),y \ z),y) = K(((y \ 1) * z) \ x,y). [para(396(a,1),11231(a,2,1,1))]. given #10193 (H,wt=21): 11233 K(T(x / ((y \ 1) * z),z),y) = K(((y \ 1) * z) \ x,y). [hyper(8164,a,11232,a)]. given #10194 (H,wt=25): 11234 K(((T(x,y) \ 1) * y) \ z,T(x,y)) = K(z / ((T(x,y) \ 1) * y),x). [hyper(7962,a,11233,a),flip(a)]. given #10195 (H,wt=23): 11235 K(((T(x,y) \ 1) * y) \ z,T(x,y)) = K(z / ((x \ 1) * y),x). [hyper(228,a,8808,a(flip),b,11234,a)]. given #10196 (H,wt=21): 11237 K(x \ (y * T(z,x)),T(z,x)) = K(y / ((z \ 1) * x),z). [hyper(228,a,10166,a(flip),b,11235,a(flip)),flip(a)]. given #10197 (H,wt=19): 11238 K((x * T(y,z)) / z,y) = K(x / ((y \ 1) * z),y). [hyper(7964,a,11237,a)]. given #10198 (H,wt=17): 11239 K(x / ((y \ 1) * z),y) = K(x / (y \ z),y). [hyper(9636,a,11238,a),flip(a)]. given #10199 (H,wt=21): 11240 K(x / (y \ T(z,y \ 1)),y) = K(x / (z * (y \ 1)),y). [para(113(a,1),11239(a,1,1,2)),flip(a)]. given #10200 (H,wt=17): 11241 K(x / (y * (z \ 1)),z) = K(x / (z \ y),z). [hyper(9531,a,11240,a),flip(a)]. given #10201 (H,wt=20): 11242 L(K(x * y,T(x,z)),y,z) = K((z * y) / (x \ z),x). [hyper(228,a,10843,a,b,11241,a(flip)),flip(a)]. given #10202 (H,wt=36): 8643 R((x \ y) * K(z \ (x \ y),x \ y),u,w) \ R(x \ y,u,w) = K(R(x \ y,u,w),z \ (y / x)). [para(8567(a,1),5834(a,1,1,1,2))]. given #10203 (H,wt=25): 11243 K(R(x \ y,z,u),w \ (y / x)) = K(R(x \ y,z,u),w \ (x \ y)). [hyper(6354,a,8643,a),flip(a)]. given #10204 (H,wt=36): 8901 (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(8883(a,2),446(a,1,2,2))]. given #10205 (H,wt=36): 9867 (((K(x,y) * (K(z,y) * u)) / (K(z,y) * u)) * K(z,y)) * u = K(z,y) * (R(K(x,y),K(z,y),u) * u). [para(9865(a,1),1585(a,1,1,1,1))]. given #10206 (H,wt=24): 11246 K(x,y) * (R(K(z,y),K(x,y),u) * u) = (K(z,y) * K(x,y)) * u. [para(15(a,1),9867(a,1,1,1)),flip(a)]. given #10207 (H,wt=19): 11248 (K(x,y) * K(z,y)) * u = K(z,y) * (K(x,y) * u). [para(10056(a,1),11246(a,1,2,1)),flip(a)]. given #10208 (H,wt=34): 11250 ((x * y) / x) \ (T(y,z) * (K(z,y) * (K(x,y) * u))) = L(u,T(y,z) \ ((x * y) / x),T(y,z)). [para(11248(a,1),6113(a,1,2,2))]. given #10209 (H,wt=28): 11251 L(x,T(y,z) \ ((u * y) / u),T(y,z)) = ((u * y) / u) \ (y * (K(u,y) * x)). [para(5007(a,1),11250(a,1,2)),flip(a)]. given #10210 (H,wt=24): 11252 L(x,T(y,z) \ ((u * y) / u),T(y,z)) = K(y,u) * (K(u,y) * x). [hyper(228,a,4992,a(flip),b,11251,a)]. given #10211 (H,wt=16): 11254 L(x,T(y,z) \ ((u * y) / u),T(y,z)) = x. [hyper(228,a,5042,a(flip),b,11252,a)]. given #10212 (H,wt=14): 11256 L(x,K(y,z) * K(u,z),T(z,u)) = x. [para(6112(a,1),11254(a,1,2))]. given #10213 (H,wt=36): 10458 K(((x \ y) \ y) * z,T(T(x,y),u)) * K((x \ y) \ y,T(z,u)) = a((x \ y) \ y,z,(x \ y) \ y). [para(7649(a,1),10455(a,1,1))]. given #10214 (H,wt=32): 11257 a((x \ y) \ y,z,(x \ y) \ y) = K(x * z,T(T(x,y),u)) * K((x \ y) \ y,T(z,u)). [para(10312(a,1),10458(a,1,1)),flip(a)]. given #10215 (H,wt=30): 11258 a((x \ y) \ y,z,(x \ y) \ y) = K(x * z,T(T(x,y),u)) * K(x,T(T(z,u),y)). [para(7166(a,1),11257(a,2,2))]. given #10216 (H,wt=22): 11260 K(x * y,T(T(x,z),u)) * K(x,T(T(y,u),z)) = a(x,y,x). [hyper(228,a,10831,a(flip),b,11258,a(flip))]. given #10217 (H,wt=22): 11262 K(x * y,T(T(x,z),u)) * K(x,T(T(y,z),u)) = a(x,y,x). [para(38(a,1),11260(a,1,1,2))]. given #10218 (H,wt=36): 10459 K(((x / y) \ 1) * z,T(y / x,u)) * K((x / y) \ 1,T(z,u)) = a((x / y) \ 1,z,(x / y) \ 1). [para(9086(a,1),10455(a,1,1))]. given #10219 (H,wt=36): 11145 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(11144(a,1),1263(a,1,1,1)),flip(a)]. given #10220 (H,wt=29): 11264 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(228,a,1263,a(flip),b,11145,a)]. given #10221 (H,wt=29): 11265 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(42(a,2),11264(a,2,3))]. given #10222 (H,wt=36): 11229 ((x \ ((y * z) \ 1)) \ ((y * (z * x)) \ 1)) * (y * (z * x)) = (y * (z * x)) * ((a(y,z,x) \ 1) \ 1). [para(118(a,1),6232(a,1,1,1))]. given #10223 (H,wt=36): 11245 (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(1632(a,2),8901(a,1,2,2))]. given #10224 (H,wt=33): 11267 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(100(a,1),11245(a,1,2)),flip(a)]. given #10225 (H,wt=36): 11263 K(((x / y) \ 1) * z,y / x) * K((x / y) \ 1,T(z,y \ x)) = a((x / y) \ 1,z,(x / y) \ 1). [para(3245(a,1),10459(a,1,1))]. given #10226 (H,wt=34): 11268 K((x \ y) \ z,x / y) * K((y / x) \ 1,T(z,x \ y)) = a((y / x) \ 1,z,(y / x) \ 1). [para(9375(a,1),11263(a,1,1))]. given #10227 (H,wt=32): 11269 K((x \ y) \ z,x / y) * K(x / y,T(z,x \ y)) = a((y / x) \ 1,z,(y / x) \ 1). [para(5619(a,1),11268(a,1,2))]. given #10228 (H,wt=28): 11270 K((x \ y) \ z,x / y) * K(x / y,z) = a((y / x) \ 1,z,(y / x) \ 1). [para(8290(a,1),11269(a,1,2))]. given #10229 (H,wt=36): 11266 ((x \ (y \ (z \ 1))) \ ((z * (y * x)) \ 1)) * (z * (y * x)) = (z * (y * x)) * ((a(z,y,x) \ 1) \ 1). [para(118(a,1),11229(a,1,1,1,2))]. given #10230 (H,wt=36): 11271 ((x \ (y \ (z \ 1))) \ ((y * x) \ (z \ 1))) * (z * (y * x)) = (z * (y * x)) * ((a(z,y,x) \ 1) \ 1). [para(118(a,1),11266(a,1,1,2))]. given #10231 (H,wt=37): 3532 T((R(x \ R(x,y,z),x,y * z) \ 1) \ 1,x * (y * z)) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(3520(a,2),2326(a,1,1,1,1))]. given #10232 (H,wt=37): 3984 R(T(x,x * y) * L(T(x,x * y) \ 1,z,u),y,x) = T(x,y) * L(R(T(x,x * y),y,x) \ 1,z,u). [para(3934(a,1),3356(a,1,1)),flip(a)]. given #10233 (H,wt=32): 11273 R(T(x,x * y) * L(T(x,x * y) \ 1,z,u),y,x) = T(x,y) * L(T(x,y) \ 1,z,u). [para(3934(a,1),3984(a,2,2,1,1))]. given #10234 (H,wt=28): 11274 R(T(x * L(x \ 1,y,z),x * u),u,x) = T(x,u) * L(T(x,u) \ 1,y,z). [para(2041(a,1),11273(a,1,1))]. given #10235 (H,wt=29): 11275 R(T(x * L(x \ 1,y,z),x * u),u,x) != w | T(x * L(x \ 1,y,z),u) = w. [para(11274(a,2),2044(a,1))]. given #10236 (H,wt=37): 6025 T(x \ 1,y * x) * L(T(x \ 1,x * y) \ 1,z,u) = T((x \ 1) * L((x \ 1) \ 1,z,u),y * x). [para(6023(a,1),2041(a,1,2,1,1))]. given #10237 (H,wt=31): 11276 T(x \ 1,y * x) * L(T(x \ 1,x * y) \ 1,z,u) = T(x \ L(x,z,u),y * x). [para(1127(a,1),6025(a,2,1))]. given #10238 (H,wt=37): 6026 T(x \ 1,y * x) * L(T(x \ 1,x * y) \ 1,z,u) = T((x \ 1) * L((x \ 1) \ 1,z,u),x * y). [para(6023(a,2),2041(a,1,1))]. given #10239 (H,wt=27): 11277 T((x \ 1) * L((x \ 1) \ 1,y,z),x * u) = T(x \ L(x,y,z),u * x). [hyper(228,a,11276,a(flip),b,6026,a(flip))]. given #10240 (H,wt=21): 11278 T(x \ L(x,y,z),u * x) = T(x \ L(x,y,z),x * u). [para(1127(a,1),11277(a,1,1)),flip(a)]. given #10241 (H,wt=36): 11279 K((T(x \ L(x,y,z),x * u) / w) / ((x \ L(x,y,z)) / w),v5) = K(x \ L(x,y,z),K(u * x,v5)). [para(11278(a,1),9723(a,1,1,1,1))]. given #10242 (H,wt=31): 11280 K(K(((x \ L(x,y,z)) / u) / (u \ 1),x * w),v5) = K(x \ L(x,y,z),K(w * x,v5)). [para(5006(a,2),11279(a,1,1))]. given #10243 (H,wt=31): 11281 K(x,K(((y \ L(y,z,u)) / w) / (w \ 1),y * v5)) = K(y \ L(y,z,u),K(v5 * y,x)). [hyper(7953,a,11280,a)]. given #10244 (H,wt=29): 11282 K(x,K(y * z,((y \ L(y,u,w)) / v5) * v5)) = K(y \ L(y,u,w),K(z * y,x)). [hyper(8288,a,11281,a)]. given #10245 (H,wt=25): 11283 K(x \ L(x,y,z),K(u * x,w)) = K(w,K(x * u,x \ L(x,y,z))). [para(16(a,1),11282(a,1,2,2)),flip(a)]. given #10246 (H,wt=25): 11284 K(x,K(y * z,z \ L(z,u,w))) = K(x,K(z * y,z \ L(z,u,w))). [hyper(7715,a,11283,a)]. given #10247 (H,wt=37): 6635 x \ ((x / ((y * z) / y)) * ((((y * z) / y) \ K(y,z)) * ((y * z) / y))) = T(x \ (x / z),(y * z) / y). [para(6633(a,1),897(a,2,1,2))]. given #10248 (H,wt=31): 11285 x \ ((x / ((y * z) / y)) * ((z \ 1) * ((y * z) / y))) = T(x \ (x / z),(y * z) / y). [para(4701(a,1),6635(a,1,2,2,1))]. given #10249 (H,wt=29): 11287 x \ ((x / ((y * z) / y)) * ((T(z,y) \ 1) * z)) = T(x \ (x / z),(y * z) / y). [para(5965(a,1),11285(a,1,2,2))]. given #10250 (H,wt=27): 11288 (1 / ((x * y) / x)) * ((T(y,x) \ 1) * y) = T(1 \ (1 / y),(x * y) / x). [hyper(153,a,11287,a)]. given #10251 (H,wt=25): 11289 (1 / ((x * y) / x)) * ((T(y,x) \ 1) * y) = T(1 / y,(x * y) / x). [para(51(a,1),11288(a,2,1))]. given #10252 (H,wt=19): 11290 (1 / ((x * y) / x)) \ (y \ 1) = (T(y,x) \ 1) * y. [hyper(71,a,5121,a(flip),b,11289,a)]. given #10253 (H,wt=37): 6657 K(x \ (y * z),z) * K(z,z \ T(z * ((y \ x) \ 1),z)) = (y \ x) * (T(z * ((y \ x) \ 1),z) / z). [para(6628(a,1),6042(a,1,1)),flip(a)]. given #10254 (H,wt=30): 11291 K(x \ (y * z),z) * K(z,z \ T(z * ((y \ x) \ 1),z)) = a(z,(y \ x) \ 1,z). [hyper(228,a,9979,a(flip),b,6657,a)]. given #10255 (H,wt=24): 11292 K(x \ (y * z),z) * K(z,(y \ x) \ 1) = a(z,(y \ x) \ 1,z). [para(7140(a,1),11291(a,1,2))]. given #10256 (H,wt=22): 11293 K(x \ (y * z),z) * K(z,x \ y) = a(z,(y \ x) \ 1,z). [para(5558(a,1),11292(a,1,2))]. given #10257 (H,wt=22): 11295 K(x * (y \ z),x) * K(x,y \ z) = a(x,(z \ y) \ 1,x). [para(10726(a,1),11293(a,1,1))]. given #10258 (H,wt=18): 11296 a(x,(y \ z) \ 1,x) != u | a(x,z \ y,x) = u. [para(11295(a,1),8904(a,1))]. given #10259 (H,wt=37): 6880 K((1 / x) \ (y \ z),1 / (x * T(y \ z,z \ y))) = (((1 / x) \ (y \ z)) * ((1 / z) * y)) * (1 / x). [para(5684(a,2),6855(a,2,2)),flip(a)]. given #10260 (H,wt=35): 11297 K((1 / x) \ (y \ z),1 / (x * T(y \ z,z \ y))) = ((1 / x) \ K(y \ z,z \ y)) * (1 / x). [para(10087(a,1),6880(a,2,1))]. given #10261 (H,wt=33): 11298 K((1 / x) \ (y \ z),1 / (x * T(y \ z,z \ y))) = (x * K(y \ z,z \ y)) * (1 / x). [para(5186(a,1),11297(a,2,1))]. given #10262 (H,wt=37): 6989 K(x,((y * z) * R(x,y,z)) / ((u * (K(y * z,x) * y)) * z)) = K(R(x,K(y * z,x) * y,z),u \ x). [para(5699(a,1),6987(a,1,2,1))]. given #10263 (H,wt=31): 11299 K(R(x,K(y * z,x) * y,z),u \ x) = K(x,((y * z) * R(x,y,z)) / ((u * y) * z)). [hyper(228,a,10790,a(flip),b,6989,a(flip))]. given #10264 (H,wt=37): 9158 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(6251(a,2),7323(a,2,2)),flip(a)]. given #10265 (H,wt=37): 10501 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(228,a,9038,a(flip),b,9464,a(flip)),flip(a)]. given #10266 (H,wt=37): 11272 T(R(((x \ R(x,y,z)) \ 1) \ 1,x,y * z),x * (y * z)) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(3370(a,2),3532(a,1,1))]. given #10267 (H,wt=37): 11301 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(228,a,7323,a(flip),b,9158,a)]. given #10268 (H,wt=37): 11302 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(228,a,10716,a(flip),b,10501,a(flip))]. given #10269 (H,wt=34): 11304 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(228,a,11193,a(flip),b,11302,a)]. given #10270 (H,wt=27): 11305 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(228,a,10748,a(flip),b,11304,a)]. given #10271 (H,wt=20): 11307 K(L(x,y,z),u \ L(x,y,z)) = K(L(x,y,z),u \ x). [para(2470(a,1),11305(a,1,2))]. given #10272 (H,wt=24): 11308 K(x \ L(y,z,u),L(y,z,u)) = (w * K(L(y,z,u),x \ y)) \ w. [para(11307(a,1),5037(a,1,1,2)),flip(a)]. given #10273 (H,wt=20): 11309 K(x \ L(y,z,u),L(y,z,u)) = K(x \ y,L(y,z,u)). [hyper(228,a,5037,a(flip),b,11308,a)]. given #10274 (H,wt=31): 11310 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(11309(a,1),5924(a,1,1,2))]. given #10275 (H,wt=31): 11311 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(10751(a,1),11310(a,1,1,2))]. given #10276 (H,wt=29): 11312 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(51(a,1),11311(a,1,1,2,1,2))]. given #10277 (H,wt=26): 11313 T(L(x * K(x * y,x),z,u),y) = y \ T(L(x,z,u) * y,L(x,z,u)). [para(5819(a,1),11312(a,1,1))]. given #10278 (H,wt=26): 11314 L(T(x * K(x * y,x),y),z,u) = y \ T(L(x,z,u) * y,L(x,z,u)). [hyper(228,a,40,a,b,11313,a(flip)),flip(a)]. given #10279 (H,wt=21): 11315 x \ T(L(y,z,u) * x,L(y,z,u)) = L(R(y,x,y),z,u). [para(5397(a,1),11314(a,1,1)),flip(a)]. given #10280 (H,wt=18): 11316 R(L(x,y,z),u,L(x,y,z)) = L(R(x,u,x),y,z). [hyper(4047,a,11315,a)]. given #10281 (H,wt=19): 11318 K(x,L(R(y,z,y),u,w)) != v5 | K(x,L(y,u,w)) = v5. [para(11316(a,1),7099(a,1,2))]. given #10282 (H,wt=20): 11319 K(L(x,y * (x \ z),u),y) != w | K(x,L(y,z,u)) = w. [para(10482(a,1),11318(a,1))]. given #10283 (H,wt=23): 11317 (x * y) * L(R(z,u,z),y,x) = x * (y * R(z,u,L(z,y,x))). [para(11316(a,1),451(a,1,2))]. given #10284 (H,wt=16): 11320 x * R(y,z,L(y,x,u)) = x * R(y,z,y). [hyper(436,a,11317,a),flip(a)]. given #10285 (H,wt=12): 11321 R(x,y,L(x,z,u)) = R(x,y,x). [hyper(331,a,11320,a),flip(a)]. given #10286 (H,wt=17): 11324 T(x * K(y * x,x),y) = R(x,y,L(x,z,u)). [hyper(228,a,4836,a,b,11321,a),flip(a)]. given #10287 (H,wt=21): 11327 K(x * L(y,z,u),y) = (w * T(y,x)) \ (w * R(y,x,y)). [para(11321(a,1),9994(a,1,2,2)),flip(a)]. given #10288 (H,wt=14): 11329 K(x * L(y,z,u),y) = K(y * x,y). [hyper(228,a,7345,a(flip),b,11327,a)]. given #10289 (H,wt=14): 11333 K(x * (L(x,y,z) \ u),x) = K(u,x). [hyper(228,a,7397,a(flip),b,11329,a(flip))]. given #10290 (H,wt=14): 11335 K(L(x,y,z) \ u,x) = K(x \ u,x). [hyper(228,a,10733,a(flip),b,11333,a(flip)),flip(a)]. given #10291 (H,wt=14): 11336 K(x / L(y,z,u),y) = K(y \ x,y). [hyper(8170,a,11335,a)]. given #10292 (H,wt=15): 11337 K(x \ (y * (z * x)),x) = K(y * z,x). [para(136(a,1),11336(a,1,1)),flip(a)]. given #10293 (H,wt=15): 11338 K(x \ (y * (x * z)),x) = K(y * z,x). [hyper(228,a,8574,a(flip),b,11337,a(flip)),flip(a)]. given #10294 (H,wt=15): 11339 K(x \ (y * z),x) = K(y * (x \ z),x). [para(14(a,1),11338(a,1,1,2,2))]. given #10295 (H,wt=15): 11340 K(x * (y \ (x \ z)),y) = K(y \ z,y). [para(57(a,1),11338(a,1,1,2)),flip(a)]. given #10296 (H,wt=16): 11331 K(x \ L(y,z,u),y) = K(y * (x \ 1),y). [hyper(5801,a,11329,a)]. given #10297 (H,wt=14): 11343 K(x \ L(y,z,u),y) = K(x \ y,y). [hyper(228,a,5330,a(flip),b,11331,a)]. given #10298 (H,wt=17): 11332 K(x * L(y,z,u),y) = K(x,y) * a(y,x,y). [hyper(228,a,8894,a,b,11329,a)]. given #10299 (H,wt=12): 11347 a(x,y,L(x,z,u)) = a(x,y,x). [hyper(10018,a,11332,a)]. given #10300 (H,wt=18): 11344 K(x / (L(y,z,u) \ w),y) = K((w / x) \ y,y). [hyper(11215,a,11343,a)]. given #10301 (H,wt=15): 11350 K(x / (y \ z),y) = K((z / x) \ y,y). [para(333(a,1),11344(a,1,1,2,1))]. given #10302 (H,wt=15): 11351 K((x * y) / z,x) = K((z / y) \ x,x). [hyper(9520,a,11350,a)]. given #10303 (H,wt=17): 11353 K(x \ (y * z),T(y,z)) = K((x / z) \ y,y). [hyper(228,a,9517,a,b,11350,a(flip)),flip(a)]. given #10304 (H,wt=17): 11354 K(((x \ 1) \ y) / z,x) = K((z / y) \ x,x). [hyper(228,a,10214,a,b,11351,a(flip)),flip(a)]. given #10305 (H,wt=17): 11355 K(x \ (y * z),T(z,y)) = K((x / y) \ z,z). [hyper(228,a,8644,a,b,11353,a(flip)),flip(a)]. given #10306 (H,wt=17): 11356 K((x / ((y \ 1) * z)) \ y,y) = K(z / x,y). [para(13(a,1),11354(a,1,1,1)),flip(a)]. given #10307 (H,wt=17): 11357 K((x \ y) \ z,T(z,x)) = K((y / x) \ z,z). [hyper(228,a,8433,a,b,11355,a(flip)),flip(a)]. given #10308 (H,wt=17): 11358 K(x / (y * ((z \ 1) * x)),z) = K(y \ z,z). [para(15(a,1),11356(a,1,1,1)),flip(a)]. given #10309 (H,wt=17): 11359 K(((x * y) / x) \ z,z) = K(y \ z,T(z,x)). [para(13(a,1),11357(a,1,1,1)),flip(a)]. given #10310 (H,wt=17): 11361 K(x * (y \ K(y,z)),x) = K(y \ x,T(x,z)). [hyper(228,a,5331,a(flip),b,11359,a(flip)),flip(a)]. given #10311 (H,wt=17): 11362 K((x \ K(x,y)) * z,z) = K(x \ z,T(z,y)). [hyper(7391,a,11361,a)]. given #10312 (H,wt=18): 11345 K(x \ (y * L(z,u,w)),z) = K((y \ x) \ z,z). [hyper(228,a,10896,a(flip),b,11343,a(flip)),flip(a)]. given #10313 (H,wt=18): 11348 (x / y) * R(y,z,y) = x * a(y,z,L(y,u,w)). [para(11347(a,2),9811(a,2,2))]. given #10314 (H,wt=18): 11364 K(x \ (y * L(z,u,w)),z) = K(z * (x \ y),z). [hyper(228,a,10731,a(flip),b,11345,a)]. given #10315 (H,wt=19): 11342 (x \ (y * z)) * K(y \ (y * z),y) = x \ (z * y). [para(11340(a,1),9605(a,1,2))]. given #10316 (H,wt=15): 11367 (x \ (y * z)) * K(z,y) = x \ (z * y). [para(13(a,1),11342(a,1,2,1))]. given #10317 (H,wt=18): 11371 K(x,y \ (x * z)) != u | K(x,y \ (z * x)) = u. [para(11367(a,1),7129(a,1,2))]. given #10318 (H,wt=19): 11366 K(x \ (y * (z * u)),u) = K(u * (x \ (y * z)),u). [para(100(a,1),11364(a,1,1,2))]. given #10319 (H,wt=19): 11373 K(x \ (y * (z * u)),z) = K(z * (x \ (y * u)),z). [hyper(228,a,8574,a(flip),b,11366,a(flip)),flip(a)]. given #10320 (H,wt=20): 11352 L(K(x * y,T(x,z)),y,z) = K((z / (z * y)) \ x,x). [hyper(228,a,11242,a,b,11350,a(flip)),flip(a)]. given #10321 (H,wt=20): 11369 R(x,y,z) \ (z * (x * y)) = (y * z) * K(z,x * y). [para(141(a,1),11367(a,1,1)),flip(a)]. given #10322 (H,wt=18): 11376 R(x,y,z) \ (z * (x * y)) = y * T(z,x * y). [hyper(228,a,5199,a(flip),b,11369,a)]. given #10323 (H,wt=20): 11375 L(K(x * y,T(y,z)),x,z) = K((z / (z * x)) \ y,y). [para(6428(a,2),11352(a,1,1))]. given #10324 (H,wt=21): 11360 K(x / (y * ((z \ 1) * x)),(z \ 1) \ 1) = K(y \ z,z). [hyper(3238,a,11358,a)]. given #10325 (H,wt=17): 11377 K(x \ (y / ((z \ 1) * y)),z) = K(x \ z,z). [hyper(10419,a,11360,a)]. given #10326 (H,wt=21): 11365 (x / y) * R(y,z,L(y,u,w)) = x * a(y,z,L(y,v5,v6)). [para(11321(a,2),11348(a,1,2))]. given #10327 (H,wt=22): 11374 K(((x \ y) \ z) * u,L(u,z,x)) = K(u * (y \ (x * z)),u). [hyper(228,a,10768,a,b,11373,a(flip)),flip(a)]. given #10328 (H,wt=22): 11378 K(x \ R(y \ 1,y,z),y \ 1) = K(x \ (y \ 1),y \ 1). [para(3306(a,2),11377(a,1,1,2))]. given #10329 (H,wt=21): 11380 K(x / (y * (z * x)),z \ 1) = K(y \ (z \ 1),z \ 1). [hyper(228,a,10416,a(flip),b,11378,a(flip)),flip(a)]. given #10330 (H,wt=21): 11382 K(x \ ((y * z) \ z),y \ 1) = K(x \ (y \ 1),y \ 1). [hyper(228,a,10418,a(flip),b,11380,a(flip)),flip(a)]. given #10331 (H,wt=23): 11372 K(x \ (y \ (z * (u * y))),y) = K(y * ((x * y) \ (z * u)),y). [hyper(8353,a,11366,a)]. given #10332 (H,wt=19): 11385 K(x \ (y \ (z * (u * y))),y) = K(x \ (z * u),y). [hyper(228,a,10730,a(flip),b,11372,a)]. given #10333 (H,wt=20): 11386 K(L(x,y * z,u),y) = K((u * z) \ (u * (z * x)),y). [hyper(228,a,9746,a(flip),b,11385,a(flip)),flip(a)]. given #10334 (H,wt=15): 11387 K(L(x,y * z,u),y) = K(L(x,z,u),y). [para(28(a,2),11386(a,2,1))]. given #10335 (H,wt=15): 11388 K(L(x,x \ y,z),u) = K(x,L(u,y,z)). [hyper(11319,a,11387,a),flip(a)]. given #10336 (H,wt=13): 11389 L(K(x,y),z,u) = K(x,L(y,z,u)). [hyper(10680,a,11388,a)]. given #10337 (H,wt=12): 11395 K(x,L(y,z,z \ 1)) = K(x,y). [hyper(228,a,5282,a(flip),b,11389,a(flip))]. given #10338 (H,wt=13): 11404 K(x,L(y,x,z)) != u | K(x,y) = u. [para(11389(a,1),5513(a,1))]. given #10339 (H,wt=15): 11392 K(x,L(y,z * x,u)) = K(L(x,z,u),y). [hyper(6346,a,11389,a),flip(a)]. given #10340 (H,wt=15): 11393 K(L(x,y,z),u) \ 1 = L(K(u,x),y,z). [hyper(228,a,4879,a,b,11389,a),flip(a)]. given #10341 (H,wt=15): 11394 K(x,L(y,y \ z,u)) = K(x,L(y,z,u)). [hyper(228,a,8951,a,b,11389,a(flip)),flip(a)]. given #10342 (H,wt=15): 11413 L(K(x,y),z,y * x) != u | K(x,y) = u. [para(10488(a,1),11404(a,1))]. given #10343 (H,wt=16): 11390 K(x,L(y,z,u)) != w | L(K(x,y),z,u) = w. [para(11388(a,1),10680(a,1))]. given #10344 (H,wt=16): 11414 L(K(x,y),z,u) != w | K(x,L(y,z,u)) = w. [para(11393(a,1),4887(a,1))]. given #10345 (H,wt=17): 11403 x / L(K(y,z),u,w) = x * K(L(z,u,w),y). [para(11389(a,2),5063(a,1,2))]. given #10346 (H,wt=13): 11420 L(K(x,y),z,u) = K(L(x,z,u),y). [hyper(6440,a,11403,a)]. given #10347 (H,wt=13): 11421 K(L(x,y,z),u) = K(x,L(u,y,z)). [hyper(11414,a,11420,a),flip(a)]. given #10348 (H,wt=15): 11424 K(x,L(y,z * x,u)) = K(x,L(y,z,u)). [hyper(228,a,11392,a,b,11421,a(flip)),flip(a)]. given #10349 (H,wt=16): 11425 K(L(x,y,z),u) != w | L(K(x,u),y,z) = w. [para(11421(a,2),11390(a,1))]. given #10350 (H,wt=17): 11406 K(x,y) * K(y,L(x,z,u)) = a(u,z,K(x,y)). [para(11389(a,1),9676(a,1,2))]. given #10351 (H,wt=15): 11428 a(x,y * z,K(z,u)) = a(x,y,K(z,u)). [hyper(9699,a,11406,a)]. given #10352 (H,wt=17): 11407 a(x,y,K(z,u)) * K(z,L(u,y,x)) = K(z,u). [para(11389(a,1),9680(a,1,2))]. given #10353 (H,wt=17): 11408 K(x,L(y,z,u)) * K(y,x) = a(u,z,K(y,x)). [para(11389(a,1),9682(a,1,1))]. given #10354 (H,wt=17): 11415 T(x,L(y,y \ z,u)) = x * K(x,L(y,z,u)). [para(11394(a,1),4705(a,2,2))]. given #10355 (H,wt=15): 11435 T(x,L(y,y \ z,u)) = T(x,L(y,z,u)). [hyper(228,a,4705,a,b,11415,a)]. given #10356 (H,wt=17): 11422 K(x,y) * K(L(y,z,u),x) = a(u,z,K(x,y)). [para(11420(a,1),9676(a,1,2))]. given #10357 (H,wt=15): 11436 a(x,y * z,K(u,z)) = a(x,y,K(u,z)). [hyper(9700,a,11422,a)]. given #10358 (H,wt=17): 11426 K(x \ y,L(z,y,u)) = K(x \ y,L(z,x,u)). [para(14(a,1),11424(a,1,2,2))]. given #10359 (H,wt=18): 11397 (x * y) * K(z,L(u,y,x)) = x * (y * K(z,u)). [para(11389(a,1),100(a,1,2))]. given #10360 (H,wt=18): 11398 L(K(x,y \ (z \ u)),y,z) = K(x,(z * y) \ u). [para(222(a,1),11389(a,2,2))]. given #10361 (H,wt=18): 11416 K(L(x,y,z),u) != w | K(x,L(u,y * x,z)) = w. [para(6341(a,1),11414(a,1))]. given #10362 (H,wt=18): 11430 a(x,y,K(z,u)) != w | a(x,y * z,K(z,u)) = w. [para(11406(a,1),9699(a,1))]. given #10363 (H,wt=18): 11440 a(x,y,K(z,u)) != w | a(x,y * u,K(z,u)) = w. [para(11422(a,1),9700(a,1))]. given #10364 (H,wt=19): 11431 a(x,y * z,K(u,K(w,z))) = a(x,y,K(z,K(u,w))). [para(7728(a,2),11428(a,1,3))]. given #10365 (H,wt=19): 11433 T(x,L(y,z,u)) * K(y,x) = x * a(u,z,K(y,x)). [para(11408(a,1),4675(a,1,2)),flip(a)]. given #10366 (H,wt=19): 11434 K(x,L(y,z,u)) * K(y,x) = a(u,z * x,K(y,x)). [para(11424(a,1),11408(a,1,1))]. given #10367 (H,wt=19): 11437 (x * y) / T(x,L(y,z,u)) = y * a(u,z,K(x,y)). [para(11422(a,1),5697(a,1,2)),flip(a)]. given #10368 (H,wt=20): 11391 K(x,(y * ((y \ z) / u)) \ z) = K(x,L(u,y \ z,y)). [hyper(6782,a,11389,a)]. given #10369 (H,wt=20): 11399 L(K(x,(y \ z) \ u),y \ z,y) = K(x,z \ (y * u)). [para(458(a,1),11389(a,2,2))]. given #10370 (H,wt=20): 11409 K(x,L(y,z,u)) * K(y,x) != w | a(u,z,K(y,x)) = w. [para(11389(a,1),9698(a,1,1))]. given #10371 (H,wt=18): 11446 a(x,y * z,K(u,z)) != w | a(x,y,K(u,z)) = w. [para(11434(a,1),11409(a,1))]. given #10372 (H,wt=20): 11412 K(x,K(y,z * (u \ 1))) != w | K(x,K(y,z / u)) = w. [para(5420(a,1),11404(a,1,2))]. given #10373 (H,wt=20): 11418 L(K(x,K(y,z)),u,w) != v5 | K(x,L(K(z,y),u,w)) = v5. [para(7741(a,1),11414(a,1,1))]. given #10374 (H,wt=20): 11419 K(x,K(y,L(z,u,w))) != v5 | K(x,L(K(y,z),u,w)) = v5. [para(8503(a,1),11414(a,1))]. given #10375 (H,wt=20): 11423 K(x,y) * K(L(y,z,u),x) != w | a(u,z,K(x,y)) = w. [para(11420(a,1),9691(a,1,2))]. given #10376 (H,wt=20): 11427 K(x,K(y,L(z,u,w))) != v5 | L(K(z,K(x,y)),u,w) = v5. [para(7728(a,2),11425(a,1))]. given #10377 (H,wt=20): 11429 a(x,y,K(z,u)) != w | K(u,L(z,y,x)) * K(z,u) = w. [para(11406(a,1),1764(a,1))]. given #10378 (H,wt=20): 11432 a(x,y,K(z,u)) != w | K(z,u) * K(u,L(z,y,x)) = w. [para(11408(a,1),1759(a,1))]. given #10379 (H,wt=20): 11447 K(x,K(y,z * (1 / u))) != w | K(x,K(y,z / u)) = w. [para(5379(a,2),11412(a,1,2))]. given #10380 (H,wt=21): 11441 x / T(x / y,L(y,z,u)) = y * a(u,z,K(y \ x,y)). [para(11436(a,1),9849(a,2,2))]. given #10381 (H,wt=22): 11438 x * a(y,z,K(u,x)) != w | (u * x) / T(u,L(x,z,y)) = w. [para(11422(a,1),5739(a,1,2))]. given #10382 (H,wt=22): 11448 K(x,1 / L(K(y,z),u,w)) != v5 | K(x,L(K(y,z),u,w)) = v5. [para(8514(a,2),11419(a,1))]. given #10383 (H,wt=23): 11384 K((x \ 1) \ (y \ 1),y \ 1) = K(x * ((y * z) \ z),y \ 1). [hyper(228,a,5637,a(flip),b,11382,a(flip))]. given #10384 (H,wt=21): 11450 K(x * ((y * z) \ z),y \ 1) = K(x * (y \ 1),y \ 1). [hyper(228,a,5637,a(flip),b,11384,a(flip))]. given #10385 (H,wt=19): 11451 K(x * ((y * z) \ z),y \ 1) = K(y \ x,y \ 1). [hyper(228,a,5649,a(flip),b,11450,a)]. given #10386 (H,wt=22): 11452 K(x * ((y * z) \ z),y \ 1) != u | K(y \ x,y \ 1) = u. [para(11450(a,2),5804(a,1))]. given #10387 (H,wt=23): 11417 K(x,(y * ((y \ z) / u)) \ z) != w | K(x,L(u,y \ z,y)) = w. [para(6312(a,2),11414(a,1))]. given #10388 (H,wt=23): 11439 K(x,K(y,z)) * K(x,K(z,L(y,u,w))) = a(w,u,K(x,K(y,z))). [para(8521(a,1),11422(a,1,2))]. given #10389 (H,wt=24): 11405 T(L(K(x,y),z,u) \ w,K(x,L(y,z,u))) = w / L(K(x,y),z,u). [para(11389(a,1),8592(a,1,2))]. given #10390 (H,wt=24): 11445 K(((x \ y) / z) \ y,L(z,x \ y,x)) = K(((x \ y) / z) \ y,z). [hyper(228,a,9468,a(flip),b,11391,a(flip))]. given #10391 (H,wt=24): 11454 T(L(K(x,y),z,u) * w,K(y,L(x,z,u))) = w / L(K(y,x),z,u). [para(6445(a,1),11405(a,1,1))]. given #10392 (H,wt=24): 11455 K(((x \ y) \ y) * z,L(z,x \ y,x)) = K(((x \ y) / z) \ y,z). [hyper(228,a,10769,a(flip),b,11445,a(flip)),flip(a)]. given #10393 (H,wt=24): 11456 T(L(K(x,y),z,u) * w,K(y,L(x,z,u))) = w * L(K(x,y),z,u). [hyper(228,a,6434,a(flip),b,11454,a)]. given #10394 (H,wt=24): 11457 T(x * L(K(y,z),u,w),K(z,L(y,u,w))) = L(K(y,z),u,w) * x. [para(11456(a,1),7789(a,1,1))]. given #10395 (H,wt=25): 11323 (x * (y * R(z,u,z))) / (x * (y * z)) = a(L(z,y,x),u,L(z,y,x)). [para(11320(a,1),10356(a,1,1,2))]. given #10396 (H,wt=20): 11458 L(a(x,y,x),z * x,u) = a(L(x,z,u),y,L(x,z,u)). [hyper(228,a,9824,a(flip),b,11323,a(flip)),flip(a)]. given #10397 (H,wt=22): 11461 a(L(x,y / x,z),u,L(x,y / x,z)) = L(a(x,u,x),y,z). [para(16(a,1),11458(a,1,2)),flip(a)]. given #10398 (H,wt=25): 11346 (L(x,y,z) * K((u \ x) \ x,x)) * u = (x \ (L(x,y,z) * u)) * x. [para(11343(a,1),9604(a,1,1,2))]. given #10399 (H,wt=21): 11462 (x \ (L(x,y,z) * u)) * x = (L(x,y,z) * K(u,x)) * u. [para(5501(a,1),11346(a,1,1,2)),flip(a)]. given #10400 (H,wt=19): 11463 (x \ (L(x,y,z) * u)) * x = L(x,y,z) * T(u,x). [hyper(228,a,5177,a(flip),b,11462,a)]. given #10401 (H,wt=19): 11464 (L(x,y,z) * (x \ u)) * x = L(x,y,z) * T(u,x). [para(1359(a,1),11463(a,1,1))]. given #10402 (H,wt=23): 11465 (x / y) \ (L(y,z,u) * (y \ x)) = x \ (L(y,z,u) * T(x,y)). [para(11464(a,1),9883(a,2,2))]. given #10403 (H,wt=23): 11466 (x / y) \ (L(y,z,u) * (y \ x)) = T(L(y,z,u) * K(x,y),x). [hyper(228,a,5214,a(flip),b,11465,a)]. given #10404 (H,wt=25): 11400 (x * (y * K(z,u))) / T(x * y,K(z,L(u,y,x))) = L(K(z,u),y,x). [para(11389(a,1),443(a,1,2,2))]. given #10405 (H,wt=22): 11467 (x * (y * K(z,u))) / T(x * y,K(z,u)) = L(K(z,u),y,x). [para(9135(a,1),11400(a,1,2))]. given #10406 (H,wt=26): 11453 a(x,y,K(z,K(u,w))) != v5 | K(z,K(w,L(u,y,x))) * K(z,K(u,w)) = v5. [para(11439(a,1),5991(a,1))]. given #10407 (H,wt=29): 11328 T(R(x,y,z) * K(u * x,R(x,y,z)),u) = R(R(x,y,z),u,L(R(x,y,z),w,v5)). [para(11128(a,1),11324(a,1,1,2))]. given #10408 (H,wt=26): 11470 T(R(x * K(y * x,x),z,u),y) = R(R(x,z,u),y,L(R(x,z,u),w,v5)). [para(5822(a,1),11328(a,1,1))]. given #10409 (H,wt=26): 11471 T(R(x * K(x * y,x),z,u),y) = R(R(x,z,u),y,L(R(x,z,u),w,v5)). [para(5647(a,1),11470(a,1,1,1,2))]. given #10410 (H,wt=26): 11472 R(T(x * K(x * y,x),y),z,u) = R(R(x,z,u),y,L(R(x,z,u),w,v5)). [hyper(228,a,42,a,b,11471,a(flip)),flip(a)]. given #10411 (H,wt=21): 11473 R(R(x,y,z),u,L(R(x,y,z),w,v5)) = R(R(x,u,x),y,z). [para(5397(a,1),11472(a,1,1)),flip(a)]. given #10412 (H,wt=18): 11474 R(R(x,y,z),u,R(x,y,z)) = R(R(x,u,x),y,z). [hyper(228,a,11321,a(flip),b,11473,a(flip)),flip(a)]. given #10413 (H,wt=23): 11476 (R(x,y,R(x,z,u)) * z) * u = R(R(x,y,x),z,u) * (z * u). [para(11474(a,1),483(a,1,1)),flip(a)]. given #10414 (H,wt=20): 11477 (R(x,y,R(x,z,u)) * z) * u = (R(x,y,x) * z) * u. [hyper(228,a,109,a(flip),b,11476,a)]. given #10415 (H,wt=26): 11478 (R(T(x,y),z,T(x,y)) * u) * w = (R(T(x,y),z,R(x,u,w)) * u) * w. [para(10234(a,1),11477(a,1,1,1)),flip(a)]. given #10416 (H,wt=29): 11401 K(x,y) \ (K(x,L(y,z,u)) \ (w * K(x,y))) = L(K(x,y),z,u) \ T(w,K(x,y)). [para(11389(a,1),1374(a,1,2,1))]. given #10417 (H,wt=29): 11443 a(x,y * ((1 / z) / u),K(w,K(v5,u * z))) = a(x,y,K((1 / z) / u,K(w,v5))). [para(8103(a,1),11431(a,1,3))]. given #10418 (H,wt=29): 11479 K(x,y) \ (K(L(y,z,u),x) * (w * K(x,y))) = L(K(x,y),z,u) \ T(w,K(x,y)). [para(5035(a,1),11401(a,1,2))]. given #10419 (H,wt=29): 11480 K(x,y) \ (K(y,L(x,z,u)) * (w * K(x,y))) = L(K(x,y),z,u) \ T(w,K(x,y)). [para(11421(a,1),11479(a,1,2,1))]. given #10420 (H,wt=27): 11481 K(x,y) \ (T(y,L(x,z,u)) * K(x,y)) = L(K(x,y),z,u) \ T(y,K(x,y)). [para(4720(a,1),11480(a,1,2))]. given #10421 (H,wt=25): 11482 L(K(x,y),z,u) \ T(y,K(x,y)) = K(x,y) \ (y * a(u,z,K(x,y))). [para(11433(a,1),11481(a,1,2)),flip(a)]. given #10422 (H,wt=30): 11442 K((x \ (y \ z)) \ u,L(x,u,y)) = K((x \ (y \ z)) \ u,(y * ((y \ z) / x)) \ z). [para(10679(a,1),11426(a,2,2))]. given #10423 (H,wt=30): 11449 L(x,y,z) \ ((u / x) \ (L(x,y,z) * (x \ u))) = x \ (x * a(z,y,K(x \ u,x))). [para(11441(a,1),9385(a,2,2))]. given #10424 (H,wt=28): 11484 L(x,y,z) \ T(L(x,y,z) * K(u,x),u) = x \ (x * a(z,y,K(x \ u,x))). [para(11466(a,1),11449(a,1,2))]. given #10425 (H,wt=23): 11485 x \ (x * a(y,z,K(x \ u,x))) = K(L(x,z,y),u) * K(u,x). [hyper(7581,a,11484,a),flip(a)]. given #10426 (H,wt=23): 11486 x \ (x * a(y,z,K(x \ u,x))) = K(x,L(u,z,y)) * K(u,x). [para(11421(a,1),11485(a,2,1))]. given #10427 (H,wt=19): 11487 x \ (x * a(y,z,K(x \ u,x))) = a(y,z,K(u,x)). [hyper(228,a,11408,a(flip),b,11486,a)]. given #10428 (H,wt=15): 11488 a(x,y,K(z \ u,z)) = a(x,y,K(u,z)). [hyper(284,a,11487,a),flip(a)]. given #10429 (H,wt=15): 11490 a(x,y,K(z * u,z)) = a(x,y,K(u,z)). [para(13(a,1),11488(a,1,3,1)),flip(a)]. given #10430 (H,wt=15): 11491 a(x,y,K(z * u,u)) = a(x,y,K(z,u)). [para(4881(a,1),11488(a,1,3)),flip(a)]. given #10431 (H,wt=10): 11495 a(x,y,K(x * z,z)) = 1. [hyper(228,a,7007,a(flip),b,11491,a)]. given #10432 (H,wt=14): 11497 L(K(x * y,y),z,x) = K(x * y,y). [hyper(33,a,11495,a)]. given #10433 (H,wt=17): 11492 a(x,y,K(z,u \ z)) = a(x,y,K(u,u \ z)). [para(4883(a,1),11488(a,1,3)),flip(a)]. given #10434 (H,wt=17): 11493 a(x,y,K(z \ 1,u)) = a(x,y,K(z \ u,u)). [para(5617(a,1),11488(a,1,3))]. given #10435 (H,wt=23): 11494 a(x,y,K(z * u,z)) \ K(w,z) = K(w,z) * a(x,y,K(z,u)). [para(11490(a,2),9967(a,1,1))]. given #10436 (H,wt=15): 11499 a(x,y,K(z,z * u)) = a(x,y,K(z,u)). [hyper(9970,a,11494,a)]. given #10437 (H,wt=15): 11500 a(x,y,K(z,z \ u)) = a(x,y,K(z,u)). [para(14(a,1),11499(a,1,3,2)),flip(a)]. given #10438 (H,wt=15): 11501 a(x,y,K(z,u \ z)) = a(x,y,K(u,z)). [hyper(228,a,11492,a,b,11500,a(flip)),flip(a)]. given #10439 (H,wt=15): 11502 a(x,y,K(z \ u,u)) = a(x,y,K(u,z)). [para(5107(a,1),11501(a,1,3)),flip(a)]. given #10440 (H,wt=15): 11503 a(x,y,K(z \ 1,u)) = a(x,y,K(u,z)). [hyper(228,a,11493,a,b,11502,a(flip)),flip(a)]. given #10441 (H,wt=17): 11505 a(x,y,K(z \ u,w)) = a(x,y,K(w,u \ z)). [para(5601(a,1),11503(a,1,3))]. given #10442 (H,wt=19): 11504 a(x,y,K(z \ (u \ 1),w)) = a(x,y,K(w,u * z)). [para(118(a,1),11503(a,1,3,1))]. given #10443 (H,wt=23): 11498 x * (y * K(x * z,T(z,x * y))) = K(x * z,z) * (x * y). [para(11497(a,1),7178(a,2,1))]. given #10444 (H,wt=21): 11506 x * (y * K(x * z,T(z,y))) = K(x * z,z) * (x * y). [para(8423(a,1),11498(a,1,2,2))]. given #10445 (H,wt=19): 11507 K(x * y,y) * (x * z) = x * (K(x * y,y) * z). [hyper(228,a,7280,a(flip),b,11506,a(flip))]. given #10446 (H,wt=22): 11508 x * (K(x * y,y) * (K(y,x) * z)) = a(y,x,y) * (x * z). [hyper(228,a,9488,a(flip),b,11507,a(flip))]. given #10447 (H,wt=17): 11509 a(x,y,x) * (y * z) = y * (a(x,y,x) * z). [para(9485(a,1),11508(a,1,2)),flip(a)]. given #10448 (H,wt=17): 11510 x * (a(y,x,y) * (x \ z)) = a(y,x,y) * z. [hyper(302,a,11509,a),flip(a)]. given #10449 (H,wt=30): 11468 T(x * y,K(z,u)) \ (x * (y * K(z,u))) = T(L(K(z,u),y,x),T(x * y,K(z,u))). [para(11467(a,1),115(a,1,1)),flip(a)]. given #10450 (H,wt=26): 11511 T(x * y,K(z,u)) \ (x * (y * K(z,u))) = L(T(K(z,u),x * y),y,x). [hyper(228,a,3942,a(flip),b,11468,a)]. given #10451 (H,wt=26): 11512 T(x * y,K(z,u)) \ (x * (y * K(z,u))) = L(K(z,T(u,x * y)),y,x). [para(7152(a,2),11511(a,2,1))]. given #10452 (H,wt=30): 11475 (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(11473(a,1),11365(a,1,2))]. given #10453 (H,wt=30): 11483 K((x \ (y \ z)) \ u,(y * ((y \ z) / x)) \ z) = K(((y \ z) \ u) * x,L(x,u,y)). [hyper(228,a,10766,a(flip),b,11442,a(flip))]. given #10454 (H,wt=27): 11513 K((x \ (y \ z)) \ u,(y * ((y \ z) / x)) \ z) = K(x * (z \ (y * u)),x). [hyper(228,a,11374,a(flip),b,11483,a)]. given #10455 (H,wt=24): 11514 K((x \ (y \ z)) \ u,L(x,y \ z,y)) = K(x * (z \ (y * u)),x). [hyper(11417,a,11513,a)]. given #10456 (H,wt=24): 11515 K(((x \ y) \ z) * u,L(u,x \ y,x)) = K(u * (y \ (x * z)),u). [hyper(228,a,10766,a(flip),b,11514,a(flip)),flip(a)]. given #10457 (H,wt=19): 11516 K(((x \ y) / z) \ y,z) = K(z * (y \ (x * y)),z). [hyper(228,a,11455,a(flip),b,11515,a(flip)),flip(a)]. given #10458 (H,wt=17): 11517 K(((x \ y) / z) \ y,z) = K(z * T(x,y),z). [para(32(a,2),11516(a,2,1,2))]. given #10459 (H,wt=17): 11518 K(x * ((y \ z) \ z),x) = K(x * T(y,z),x). [hyper(228,a,10728,a(flip),b,11517,a(flip)),flip(a)]. given #10460 (H,wt=21): 11519 K(x,x * ((y \ z) \ z)) = u / (K(x * T(y,z),x) * u). [para(11518(a,1),5040(a,1,2,1)),flip(a)]. given #10461 (H,wt=17): 11521 K(x,x * ((y \ z) \ z)) = K(x,x * T(y,z)). [hyper(228,a,5040,a(flip),b,11519,a)]. given #10462 (H,wt=31): 11496 L(K(x * y,y),z,u) \ T(y,K(x * y,y)) = K(x * y,y) \ (y * a(u,z,K(x,y))). [para(11491(a,1),11482(a,2,2,2))]. given #10463 (H,wt=29): 11522 L(K(x * y,y),z,u) \ T(y,K(x * y,y)) = T(y,x * y) * a(u,z,K(x,y)). [hyper(228,a,4987,a(flip),b,11496,a)]. given #10464 (H,wt=37): 11303 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(40(a,2),11301(a,1,2,1,2,2))]. given #10465 (H,wt=37): 11520 T(x,x * K(y * T(z,u),y)) \ T(K(y,y * ((z \ u) \ u)) * x,x) = K(y,T(y * ((z \ u) \ u),x)). [para(11518(a,1),10877(a,1,1,2,2))]. given #10466 (H,wt=35): 11524 T(x,x * K(y * T(z,u),y)) \ T(K(y,y * T(z,u)) * x,x) = K(y,T(y * ((z \ u) \ u),x)). [para(11521(a,1),11520(a,1,2,1,1))]. given #10467 (H,wt=21): 11525 K(x,T(x * ((y \ z) \ z),u)) = K(x,T(x * T(y,z),u)). [hyper(228,a,10877,a(flip),b,11524,a(flip))]. given #10468 (H,wt=37): 11523 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(40(a,2),11303(a,1,2,1,2,2,1))]. given #10469 (H,wt=29): 11526 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(228,a,10475,a(flip),b,11523,a(flip)),flip(a)]. given #10470 (H,wt=25): 11528 K(x,y \ L(L(T(x,z),u,w),v5,v6)) = K(x,y \ L(L(x,u,w),v5,v6)). [para(64(a,1),11526(a,1,2))]. given #10471 (H,wt=38): 4007 (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(3996(a,1),1581(a,1,1)),flip(a)]. given #10472 (H,wt=37): 11530 (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(3996(a,1),4007(a,2,2,1,1))]. given #10473 (H,wt=34): 11531 (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(228,a,2753,a(flip),b,11530,a)]. given #10474 (H,wt=28): 11532 (T(x,y) * R(T(x,y) \ (x * y),z,u)) / (x * y) = R(R(y,z,u) / y,y,x). [para(1675(a,1),11531(a,2,1))]. given #10475 (H,wt=24): 11533 (T(x,y) * R(T(y,x),z,u)) / (x * y) = R(R(y,z,u) / y,y,x). [para(3926(a,1),11532(a,1,1,2,1))]. given #10476 (H,wt=22): 11534 (R(x,y,z) * T(u,x)) / (u * x) = R(R(x,y,z) / x,x,u). [para(3949(a,1),11533(a,1,1))]. given #10477 (H,wt=20): 11535 R(R(x,y,x) / x,x,z) = (z * R(x,y,x)) / (z * x). [para(7090(a,1),11534(a,1,1)),flip(a)]. given #10478 (H,wt=18): 11536 (x * R(y,z,y)) / (x * y) = R(a(y,z,y),y,x). [para(8879(a,1),11535(a,1,1)),flip(a)]. given #10479 (H,wt=12): 11537 R(a(x,y,x),x,z) = a(x,y,x). [hyper(9816,a,11536,a),flip(a)]. given #10480 (H,wt=36): 11539 ((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(228,a,480,a,b,11537,a(flip)),flip(a)]. given #10481 (H,wt=31): 11540 (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(8882(a,1),11539(a,1,1,1))]. given #10482 (H,wt=28): 11541 ((R(x,y,R(x,z,u)) * z) * u) / ((x * z) * u) = a(R(x,z,u),y,R(x,z,u)). [para(483(a,1),11540(a,1,1))]. given #10483 (H,wt=25): 11542 ((R(x,y,x) * z) * u) / ((x * z) * u) = a(R(x,z,u),y,R(x,z,u)). [para(11477(a,1),11541(a,1,1))]. given #10484 (H,wt=23): 11543 a(R(x,y,z),u,R(x,y,z)) != w | R(a(x,u,x),x * y,z) = w. [para(11542(a,1),9833(a,1))]. given #10485 (H,wt=38): 4069 T(x / T(y,x),z) * T(y,y * T(T(y,x) \ x,z)) = L(y,T(x / T(y,x),z),y) * T(x / T(y,x),z). [para(3791(a,1),4051(a,1,2,2))]. given #10486 (H,wt=36): 11544 L(x,T(y / T(x,y),z),x) * T(y / T(x,y),z) = T(y / T(x,y),z) * T(x,x * T(x \ y,z)). [para(4196(a,1),4069(a,1,2)),flip(a)]. given #10487 (H,wt=25): 11545 T(x / T(y,x),z) * T(y,y * T(y \ x,z)) = y * T(y \ x,z). [hyper(10380,a,11544,a),flip(a)]. given #10488 (H,wt=38): 5140 T((x * K(y,x)) * (R(K(y,x),x,(x * K(y,x)) \ 1) \ 1),z) = (x * K(y,x)) * (T(x,z) * (x \ K(x,y))). [para(4905(a,1),2639(a,2,2,2))]. given #10489 (H,wt=29): 11546 (x * K(y,x)) * (T(x,z) * (x \ K(x,y))) = T((x * K(y,x)) * (K(y,x) \ 1),z). [para(5702(a,1),5140(a,1,1,2,1)),flip(a)]. given #10490 (H,wt=27): 11547 (x * K(y,x)) * (T(x,z) * (x \ K(x,y))) = T((x * K(y,x)) * K(x,y),z). [para(4879(a,1),11546(a,2,1,2))]. given #10491 (H,wt=19): 11549 (x * K(y,x)) * (T(x,z) * (x \ K(x,y))) = T(x,z). [para(5062(a,1),11547(a,2,1))]. given #10492 (H,wt=19): 11550 T(x,y) / (T(x,y) * (x \ K(x,z))) = x * K(z,x). [hyper(85,a,11549,a)]. given #10493 (H,wt=33): 11551 T(x,y) * T(x \ K(x,z),(x \ K(x,z)) \ 1) = T(x * K(z,x),x \ K(x,z)) \ T(x,y). [para(11550(a,1),3119(a,1,1,1)),flip(a)]. given #10494 (H,wt=29): 11552 T(x,y) * T(x \ K(x,z),(x \ K(x,z)) \ 1) = ((x \ 1) \ K(z,x)) \ T(x,y). [para(6394(a,1),11551(a,2,1))]. given #10495 (H,wt=29): 11553 T(x,y) * T(x \ K(x,z),(x \ 1) \ K(z,x)) = ((x \ 1) \ K(z,x)) \ T(x,y). [para(5127(a,1),11552(a,1,2,2))]. given #10496 (H,wt=25): 11554 T(x,y) * T(x \ K(x,z),T(x,z)) = ((x \ 1) \ K(z,x)) \ T(x,y). [para(7944(a,1),11553(a,1,2))]. given #10497 (H,wt=23): 11555 ((x \ 1) \ K(y,x)) \ T(x,z) = T(x,z) * T(x \ K(x,y),x). [para(8052(a,1),11554(a,1,2)),flip(a)]. given #10498 (H,wt=21): 11556 ((x \ 1) \ K(y,x)) \ T(x,z) = (x \ K(x,y)) * T(x,z). [hyper(228,a,8279,a(flip),b,11555,a)]. given #10499 (H,wt=33): 11559 K((x \ y) \ 1,((z \ K(z,u)) * T(z,w)) \ 1) = K(y \ x,T(z,w) \ ((z \ 1) \ K(u,z))). [para(11556(a,1),5612(a,1,2,1))]. given #10500 (H,wt=38): 6427 T((1 / K(x,y)) * (x \ (T(x,y) / z)),u) \ K(K(x,y) \ (x \ (T(x,y) / z)),u) = R(z,T(x,y) \ 1,x). [hyper(228,a,4728,a(flip),b,6426,a)]. given #10501 (H,wt=36): 11561 T(K(x,y) * (y \ (T(y,x) / z)),u) \ K(K(y,x) \ (y \ (T(y,x) / z)),u) = R(z,T(y,x) \ 1,y). [para(4894(a,1),6427(a,1,1,1,1))]. given #10502 (H,wt=34): 11562 T(T(x,y) \ (T(x,y) / z),u) \ K(K(x,y) \ (x \ (T(x,y) / z)),u) = R(z,T(x,y) \ 1,x). [para(5004(a,1),11561(a,1,1,1))]. given #10503 (H,wt=32): 11563 T(T(x,y) \ (T(x,y) / z),u) \ K(T(x,y) \ (T(x,y) / z),u) = R(z,T(x,y) \ 1,x). [para(4718(a,1),11562(a,1,2,1))]. given #10504 (H,wt=19): 11564 R(x,T(y,z) \ 1,T(y,z)) = R(x,T(y,z) \ 1,y). [hyper(4862,a,11563,a)]. given #10505 (H,wt=30): 11565 (x * T(y,z)) / ((T(y,z) \ 1) * T(y,z)) = R(x / (T(y,z) \ 1),T(y,z) \ 1,y). [hyper(228,a,110,a(flip),b,11564,a(flip)),flip(a)]. given #10506 (H,wt=30): 11566 (x * T(y,z)) / ((T(y,z) \ 1) * T(y,z)) = R((1 / x) \ T(y,z),T(y,z) \ 1,y). [para(317(a,1),11565(a,2,1))]. given #10507 (H,wt=25): 11567 (x * T(y,z)) / ((T(y,z) \ 1) * T(y,z)) = (y \ (1 / x)) \ K(y,z). [hyper(228,a,6289,a(flip),b,11566,a)]. given #10508 (H,wt=21): 11568 (x * T(y,z)) / K(y \ 1,y) = (y \ (1 / x)) \ K(y,z). [para(2530(a,1),11567(a,1,2))]. given #10509 (H,wt=21): 11569 (x * T(y,z)) * K(y,y \ 1) = (y \ (1 / x)) \ K(y,z). [hyper(5067,a,11568,a)]. given #10510 (H,wt=21): 11571 x * (K(y,z) * T(y,y \ 1)) = (y \ (1 / x)) \ K(y,z). [hyper(228,a,6511,a(flip),b,11569,a(flip)),flip(a)]. given #10511 (H,wt=19): 11572 (x \ (1 / y)) \ K(x,z) = y * ((x \ K(z,x)) \ 1). [para(4902(a,1),11571(a,1,2)),flip(a)]. given #10512 (H,wt=19): 11573 (x \ (1 / y)) \ K(x,z) = y * T(T(x,x \ 1),z). [para(4808(a,1),11572(a,2,2))]. given #10513 (H,wt=25): 11574 K(x,(y * T(T(z,z \ 1),u)) * w) = K(x,(T(z,u) \ (1 / y)) \ w). [para(11573(a,1),6167(a,1,2,1))]. given #10514 (H,wt=23): 11575 K(x,(y * T(T(z,z \ 1),u)) * w) = K(x,(y * T(z,u)) * w). [hyper(228,a,6872,a(flip),b,11574,a)]. given #10515 (H,wt=38): 6471 (T(x * y,z) * L(u,y,x)) \ (K(x * y,z) * ((x * y) * u)) = L(a(x,y,u),x * (y * u),K(x * y,z)). [para(4999(a,1),463(a,1,1))]. given #10516 (H,wt=34): 11576 (T(x * y,z) * L(u,y,x)) \ (T(x * y,z) * u) = L(a(x,y,u),x * (y * u),K(x * y,z)). [para(4720(a,1),6471(a,1,2))]. given #10517 (H,wt=38): 6960 (x \ 1) * (R(K(y,x),x \ K(x,y),z) * z) = ((((x \ 1) * (K(y,x) * z)) / ((x \ 1) * z)) * (x \ 1)) * z. [para(6959(a,2),1585(a,2,2,1)),flip(a)]. given #10518 (H,wt=26): 11578 (x \ 1) * (R(K(y,x),x \ K(x,y),z) * z) = (K(y,x) * (x \ 1)) * z. [para(6559(a,1),6960(a,2,1,1))]. given #10519 (H,wt=24): 11579 (x \ 1) * (R(K(y,x),x \ K(x,y),z) * z) = (T(x,y) \ 1) * z. [para(5004(a,1),11578(a,2,1))]. given #10520 (H,wt=22): 11581 (x \ 1) * (R(K(y,x),x \ 1,z) * z) = (T(x,y) \ 1) * z. [para(6959(a,1),11579(a,1,2,1))]. given #10521 (H,wt=17): 11582 (x \ 1) * (K(y,x) * z) = (T(x,y) \ 1) * z. [para(10227(a,1),11581(a,1,2,1))]. given #10522 (H,wt=18): 11583 T(x,y) * ((T(x,y) \ 1) * z) = L(z,x \ 1,x). [para(11582(a,1),6562(a,1,2))]. given #10523 (H,wt=15): 11585 L(x,T(y,z) \ 1,y) = L(x,y \ 1,y). [hyper(228,a,4180,a(flip),b,11583,a(flip)),flip(a)]. given #10524 (H,wt=21): 11586 L(x,((y \ z) \ z) \ 1,(y \ z) \ z) = L(x,y \ 1,y). [hyper(11162,a,11585,a)]. given #10525 (H,wt=22): 11588 ((x \ y) \ y) \ L(z,x \ 1,x) = (((x \ y) \ y) \ 1) * z. [hyper(71,a,11586,a(flip),b,190,a)]. given #10526 (H,wt=24): 11589 K(x,L(y,z \ 1,z) \ z) = K(x,((((z \ x) \ x) \ 1) * y) \ 1). [para(11586(a,1),8706(a,1,2,1))]. given #10527 (H,wt=23): 11590 K(x,((((y \ x) \ x) \ 1) * z) \ 1) = K(x,((y \ 1) * z) \ 1). [hyper(5779,a,11589,a),flip(a)]. given #10528 (H,wt=21): 11592 K(x,((x \ (y \ x)) * z) \ 1) = K(x,((y \ 1) * z) \ 1). [hyper(228,a,11207,a(flip),b,11590,a(flip)),flip(a)]. given #10529 (H,wt=19): 11593 K(x,((y \ 1) * z) \ 1) = K(x,((y \ x) * z) \ x). [hyper(228,a,11161,a(flip),b,11592,a(flip))]. given #10530 (H,wt=20): 11594 K(x,((y \ x) * (y / z)) \ x) = L(K(x,z),y,y \ 1). [hyper(228,a,6387,a(flip),b,11593,a(flip))]. given #10531 (H,wt=17): 11595 L(K(x,y),z,z \ 1) = L(K(x,y),z,z \ x). [hyper(9219,a,11594,a),flip(a)]. given #10532 (H,wt=12): 11596 L(K(x,y),z,z \ x) = K(x,y). [hyper(228,a,5282,a(flip),b,11595,a(flip))]. given #10533 (H,wt=14): 11598 L(K(x * y,z),x,y) = K(x * y,z). [para(13(a,1),11596(a,1,3))]. given #10534 (H,wt=14): 11599 K(x * y,L(z,x,y)) = K(x * y,z). [hyper(11414,a,11598,a)]. given #10535 (H,wt=23): 11600 K((x \ y) * x,(x \ y) \ z) = K((x \ y) * x,y \ (x * z)). [hyper(228,a,11399,a(flip),b,11598,a(flip))]. given #10536 (H,wt=38): 8393 T((K(x,y) * K(y,z)) \ (K(x,y) * (u * K(y,z))),K(x,y)) = R(T(u,K(x,y) * K(y,z)),K(x,y),K(y,z)). [para(7078(a,1),1038(a,1,1,2))]. given #10537 (H,wt=33): 11601 R(T(x,K(y,z) * K(z,u)),K(y,z),K(z,u)) = T(L(T(x,K(z,u)),K(z,u),K(y,z)),K(y,z)). [para(179(a,1),8393(a,1,1)),flip(a)]. given #10538 (H,wt=26): 11602 R(T(x,K(y,z) * K(z,u)),K(y,z),K(z,u)) = T(T(x,K(z,u)),K(y,z)). [para(10042(a,1),11601(a,2,1))]. given #10539 (H,wt=26): 11603 R(T(x,K(y,z) * K(z,u)),K(y,z),K(z,u)) = T(T(x,K(z,u)),K(z,y)). [hyper(228,a,7785,a,b,11602,a)]. given #10540 (H,wt=19): 11605 T(T(x,K(y,z)),K(y,u)) = T(x,K(u,y) * K(y,z)). [hyper(228,a,8856,a(flip),b,11603,a(flip))]. given #10541 (H,wt=19): 11606 T(T(x,K(y,z)),K(z,u)) = T(x,K(y,z) * K(z,u)). [hyper(7794,a,11605,a)]. given #10542 (H,wt=19): 11608 T(T(x,K(y,z)),K(y,u)) = T(x,K(y,z) * K(u,y)). [para(1757(a,2),11605(a,2,2))]. given #10543 (H,wt=19): 11610 T(T(x,K(y,z)),K(z,u)) = T(x,K(z,u) * K(y,z)). [para(1757(a,2),11606(a,2,2))]. given #10544 (H,wt=19): 11612 T(T(x,K(y,z)),K(y,u)) = T(x,K(y,u) * K(z,y)). [hyper(5427,a,11608,a)]. given #10545 (H,wt=19): 11616 T(x,K(y,z) * K(u,y)) = T(x,K(y,u) * K(z,y)). [hyper(228,a,11608,a(flip),b,11612,a(flip))]. given #10546 (H,wt=21): 11613 x * K(K(y,z) * K(z,u),x) = T(x,K(z,u) * K(y,z)). [hyper(228,a,11202,a,b,11608,a(flip)),flip(a)]. given #10547 (H,wt=21): 11617 x * K(x,K(y,z) * K(u,y)) = T(x,K(y,u) * K(z,y)). [hyper(5312,a,11616,a)]. given #10548 (H,wt=19): 11620 K(K(x,y) * K(y,z),u) = K(u,K(y,x) * K(z,y)). [hyper(17,a,11613,a,b,11617,a),flip(a)]. given #10549 (H,wt=19): 11622 K(K(x,y) * K(z,x),u) = K(u,K(x,z) * K(y,x)). [para(1757(a,2),11620(a,1,1))]. given #10550 (H,wt=19): 11623 K(K(x,y) * K(z,x),u) = K(u,K(y,x) * K(x,z)). [para(1757(a,1),11622(a,2,2))]. given #10551 (H,wt=21): 11619 x * K(K(y,z) * K(u,y),x) = T(x,K(y,z) * K(u,y)). [para(1757(a,2),11613(a,1,2,1))]. given #10552 (H,wt=19): 11625 K(K(x,y) * K(z,x),u) = K(u,K(x,y) * K(z,x)). [hyper(17,a,4705,a(flip),b,11619,a)]. given #10553 (H,wt=19): 11626 K(x,K(y,z) * K(u,y)) = K(x,K(z,y) * K(y,u)). [hyper(228,a,11623,a(flip),b,11625,a(flip))]. given #10554 (H,wt=22): 11621 T(x,K(y,z) * K(u,y)) != w | T(x,K(y,u) * K(z,y)) = w. [para(11617(a,1),4708(a,1))]. given #10555 (H,wt=22): 11627 T(T(x,K(y,z)),K(y,u)) != w | T(x,K(y,u) * K(z,y)) = w. [para(11608(a,2),11621(a,1))]. given #10556 (H,wt=22): 11628 T(T(x,K(y,z)),K(y,u)) != w | T(x,K(y,z) * K(u,y)) = w. [para(11612(a,2),11621(a,1))]. given #10557 (H,wt=23): 11609 T(x,K(y,z) * K(z,u)) \ x = K(x,K(z,y)) * K(x,K(z,u)). [para(11605(a,1),9641(a,1,1))]. given #10558 (H,wt=21): 11629 K(x,K(y,z)) * K(x,K(y,u)) = K(K(z,y) * K(y,u),x). [hyper(4731,a,11609,a),flip(a)]. given #10559 (H,wt=21): 11631 K(x,K(y,z)) * K(x,K(y,u)) = K(x,K(y,z) * K(u,y)). [hyper(228,a,11620,a(flip),b,11629,a)]. given #10560 (H,wt=21): 11633 K(x,K(y,z)) * K(x,K(y,u)) = K(K(y,z) * K(u,y),x). [hyper(228,a,11625,a,b,11631,a)]. given #10561 (H,wt=21): 11636 K(x,K(y,z)) * K(x,K(z,u)) = K(x,K(z,y) * K(u,z)). [para(7741(a,1),11631(a,1,1))]. given #10562 (H,wt=21): 11637 K(x,K(y,z)) * K(x,K(z,u)) = K(x,K(y,z) * K(z,u)). [hyper(228,a,11626,a(flip),b,11636,a)]. given #10563 (H,wt=24): 11618 T(x,K(y,z) * K(u,y)) != x * w | K(K(u,y) * K(y,z),x) = w. [para(11613(a,1),19(a,1))]. given #10564 (H,wt=24): 11630 K(x,K(y,z)) * K(x,K(y,u)) != w | K(K(z,y) * K(y,u),x) = w. [para(11609(a,1),4731(a,1))]. given #10565 (H,wt=25): 11611 T(T(x,K(y,z)),K(u,R(y,w,v5))) = T(x,K(y,z) * K(R(u,w,v5),y)). [hyper(9310,a,11608,a)]. given #10566 (H,wt=25): 11615 K(K(x,y) * K(y,z),K(x,y) \ u) = T(u,K(y,z) * K(x,y)) \ u. [para(11610(a,1),10110(a,2,1))]. given #10567 (H,wt=23): 11639 K(K(x,y) * K(y,z),K(x,y) \ u) = K(K(y,z) * K(x,y),u). [hyper(228,a,4641,a,b,11615,a)]. given #10568 (H,wt=23): 11640 K(K(x,y) * K(y,z),K(y,x) * u) = K(K(y,z) * K(x,y),u). [para(5035(a,1),11639(a,1,2))]. given #10569 (H,wt=23): 11641 K(K(x,y) * K(y,z),K(y,x) * u) = K(u,K(y,z) * K(x,y)). [hyper(228,a,11625,a(flip),b,11640,a)]. given #10570 (H,wt=25): 11634 K(x,K(y,R(z,u,u \ x)) * K(z,y)) = a(K(w,K(v5,v6)),v7,v7 \ w). [hyper(228,a,9922,a,b,11631,a(flip))]. given #10571 (H,wt=16): 11642 K(x,K(y,R(z,u,u \ x)) * K(z,y)) = 1. [hyper(228,a,11059,a(flip),b,11634,a)]. given #10572 (H,wt=16): 11644 K(x,K(y,z) * K(z,R(y,u,u \ x))) = 1. [para(1757(a,1),11642(a,1,2))]. given #10573 (H,wt=16): 11645 K(x * y,K(z,u) * K(u,R(z,x,y))) = 1. [para(13(a,1),11644(a,1,2,2,2,3))]. given #10574 (H,wt=25): 11638 T(x,K(y,z) * K(R(z,u,w),y)) = T(x,K(y,z) * K(z,R(y,u,w))). [hyper(228,a,11606,a(flip),b,11611,a(flip))]. given #10575 (H,wt=25): 11646 T(x,K(y,R(z,u,w)) * K(z,y)) = T(x,K(y,z) * K(z,R(y,u,w))). [hyper(11621,a,11638,a)]. given #10576 (H,wt=27): 11614 T(x,K(y,z) * K(R(u,w / u,v5),y)) = T(T(x,R(K(u,y),w,v5)),K(y,z)). [para(9137(a,1),11610(a,1,1,2)),flip(a)]. given #10577 (H,wt=27): 11647 x * K(x,K(y,z) * K(z,R(y,u,w))) = T(x,K(y,R(z,u,w)) * K(z,y)). [hyper(228,a,4705,a(flip),b,11646,a),flip(a)]. given #10578 (H,wt=25): 11649 K(x,K(y,R(z,u,w)) * K(z,y)) = K(x,K(y,z) * K(z,R(y,u,w))). [hyper(17,a,4705,a(flip),b,11647,a),flip(a)]. given #10579 (H,wt=27): 11648 T(x,K(y,z) * K(R(u,w / u,v5),y)) = T(T(x,K(y,R(u,w,v5))),K(y,z)). [para(9308(a,1),11614(a,2,1))]. given #10580 (H,wt=27): 11650 T(x,K(y,z) * K(R(u,w / u,v5),y)) = T(x,K(y,z) * K(R(u,w,v5),y)). [hyper(228,a,11612,a(flip),b,11648,a)]. given #10581 (H,wt=25): 11651 T(x,K(y,z) * R(K(u,y),w,v5)) = T(x,K(y,z) * K(R(u,w,v5),y)). [para(9137(a,1),11650(a,1,2,2))]. given #10582 (H,wt=25): 11652 T(x,K(y,R(z,u,w)) * K(v5,y)) = T(x,K(y,v5) * R(K(z,y),u,w)). [hyper(228,a,11616,a,b,11651,a),flip(a)]. given #10583 (H,wt=29): 11624 K(K(x,y) * K(z,x),u) / (K(y,x) * K(x,z)) = 1 / T(K(y,x) * K(x,z),u). [hyper(72,a,11623,a,b,4646,a(flip))]. given #10584 (H,wt=29): 11635 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(228,a,9871,a,b,11631,a(flip)),flip(a)]. given #10585 (H,wt=29): 11653 K(K(x,y) * K(z,x),u) * (K(z,x) * K(x,y)) = 1 / T(K(y,x) * K(x,z),u). [hyper(228,a,8944,a(flip),b,11624,a(flip)),flip(a)]. given #10586 (H,wt=29): 11654 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(7723(a,1),11635(a,1,2,2,2))]. given #10587 (H,wt=21): 11656 K(x,K(y,z)) * K(x,K(z,u)) = K(z,K(x,y) * K(u,x)). [hyper(5474,a,11654,a)]. given #10588 (H,wt=21): 11657 K(x,K(y,z)) * K(y,K(z,u)) = K(z,K(y,x) * K(u,y)). [para(7723(a,1),11656(a,1,1))]. given #10589 (H,wt=29): 11655 K(K(x,y),K(y,z)) * T(K(y,z) * K(x,y),u) = 1 / T(K(z,y) * K(y,x),u). [hyper(6479,a,11653,a)]. given #10590 (H,wt=23): 11658 1 / T(K(x,y) * K(y,z),u) = 1 * T(K(y,x) * K(z,y),u). [para(1755(a,1),11655(a,1,1)),flip(a)]. given #10591 (H,wt=21): 11659 1 / T(K(x,y) * K(y,z),u) = T(K(y,x) * K(z,y),u). [hyper(228,a,11,a(flip),b,11658,a)]. given #10592 (H,wt=21): 11661 1 / T(K(x,y) * K(y,z),u) = T(K(z,y) * K(y,x),u). [para(1757(a,1),11659(a,2,1))]. given #10593 (H,wt=21): 11662 1 / T(K(x,y) * K(z,x),u) = T(K(y,x) * K(x,z),u). [para(1757(a,2),11661(a,1,2,1))]. given #10594 (H,wt=24): 11663 T(K(x,y) * K(y,z),u) \ 1 != w | T(K(y,x) * K(z,y),u) = w. [para(11662(a,1),283(a,1,1)),flip(b)]. given #10595 (H,wt=32): 11632 K(K(x,y) * K(y,(z * u) / ((w \ z) * u)),v5) = K(v5,K(y,x)) * K(v5,R(K(y,w),z,u)). [para(6925(a,1),11629(a,1,2,2)),flip(a)]. given #10596 (H,wt=32): 11664 K(K(x,y) * K(y,(z * u) / ((w \ z) * u)),v5) = K(v5,K(y,x)) * K(v5,K(y,R(w,z,u))). [para(8989(a,1),11632(a,2,2))]. given #10597 (H,wt=30): 11665 K(K(x,y) * K(y,(z * u) / ((w \ z) * u)),v5) = K(K(x,y) * K(y,R(w,z,u)),v5). [hyper(228,a,11629,a(flip),b,11664,a)]. given #10598 (H,wt=25): 11666 K(K(x,y) * R(K(y,z),u,w),v5) = K(K(x,y) * K(y,R(z,u,w)),v5). [para(6925(a,1),11665(a,1,1,2))]. given #10599 (H,wt=38): 9299 T(x / ((y \ L(T(y,z),u,y)) \ y),T(R((z * y) / z,u,y),y)) = ((R((z * y) / z,u,y) \ y) \ y) \ x. [para(9296(a,1),7266(a,1,1,2,1))]. given #10600 (H,wt=36): 11667 T(x / R(y * K(z,y),u,y),T(R((z * y) / z,u,y),y)) = ((R((z * y) / z,u,y) \ y) \ y) \ x. [para(10777(a,1),9299(a,1,1,2))]. given #10601 (H,wt=36): 11668 T((x / R(y,z,y)) * K(y,u),T(R((u * y) / u,z,y),y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. [para(8239(a,1),11667(a,1,1))]. given #10602 (H,wt=36): 11669 T((x / R(y,z,y)) * K(y,u),R(T((u * y) / u,y),z,y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. [para(42(a,2),11668(a,1,2))]. given #10603 (H,wt=34): 11670 T((x / R(y,z,y)) * K(y,u),R((u * y) / u,z,y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. [para(202(a,1),11669(a,1,2,1))]. given #10604 (H,wt=34): 11671 T((x / R(y,z,y)) * K(y,u),R(u / (u / y),z,y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. [hyper(228,a,9287,a(flip),b,11670,a(flip)),flip(a)]. given #10605 (H,wt=31): 11672 T((x / R(y,z,y)) * K(y,u),u / (u / y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. [hyper(228,a,10036,a(flip),b,11671,a(flip)),flip(a)]. given #10606 (H,wt=29): 11674 ((R((x * y) / x,z,y) \ y) \ y) \ u = ((x * y) / x) \ ((u / R(y,z,y)) * y). [hyper(228,a,9505,a(flip),b,11672,a(flip))]. given #10607 (H,wt=29): 11675 ((R((x * y) / x,z,y) \ y) \ y) \ u = ((x * y) / x) \ (y * (R(y,z,y) \ u)). [para(7447(a,1),11674(a,2,2))]. given #10608 (H,wt=27): 11676 ((R((x * y) / x,z,y) \ y) \ y) \ u = T(y,x) * (y \ (R(y,z,y) \ u)). [hyper(228,a,4090,a(flip),b,11675,a)]. given #10609 (H,wt=25): 11677 ((x \ L(T(x,y),z,x)) \ x) \ u = T(x,y) * (x \ (R(x,z,x) \ u)). [para(9296(a,1),11676(a,1,1,1))]. given #10610 (H,wt=23): 11678 T(x,y) * (x \ (R(x,z,x) \ u)) = R(x * K(y,x),z,x) \ u. [para(10777(a,1),11677(a,1,1)),flip(a)]. given #10611 (H,wt=24): 11679 R(x * K(y,x),z,x) \ u != w | K(x,y) * (R(x,z,x) \ u) = w. [para(11678(a,1),5031(a,1))]. given #10612 (H,wt=38): 9411 L(x \ 1,x,y) * L(L(x \ 1,T(x,z),y) \ 1,u,w) = L((x \ 1) * L((x \ 1) \ 1,u,w),T(x,z),y). [para(9408(a,1),2759(a,1,1))]. given #10613 (H,wt=36): 11680 L((x \ 1) * L((x \ 1) \ 1,y,z),T(x,u),w) = L(x \ 1,x,w) * L(L(x \ 1,x,w) \ 1,y,z). [para(9408(a,1),9411(a,1,2,1,1)),flip(a)]. given #10614 (H,wt=33): 11681 L((x \ 1) * L((x \ 1) \ 1,y,z),T(x,u),w) = L((x \ 1) * L((x \ 1) \ 1,y,z),x,w). [hyper(228,a,2759,a(flip),b,11680,a)]. given #10615 (H,wt=27): 11683 L((x \ 1) * L((x \ 1) \ 1,y,z),T(x,u),w) = L(x \ L(x,y,z),x,w). [para(1127(a,1),11681(a,2,1))]. given #10616 (H,wt=21): 11684 L(x \ L(x,y,z),T(x,u),w) = L(x \ L(x,y,z),x,w). [para(1127(a,1),11683(a,1,1))]. given #10617 (H,wt=34): 11685 a(x,T(y,z),K(u,y \ L(y,w,v5))) * K(u,L(y \ L(y,w,v5),y,x)) = K(u,y \ L(y,w,v5)). [para(11684(a,1),11407(a,1,2,2))]. given #10618 (H,wt=38): 9561 K(x,K((y * z) * u,u \ ((y * z) \ (y * (z * u))))) = K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))). [para(5436(a,2),9560(a,2,2))]. given #10619 (H,wt=33): 11686 K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))) = K(x,K((y * z) * u,u \ L(u,z,y))). [para(28(a,2),9561(a,1,2,2,2)),flip(a)]. given #10620 (H,wt=38): 11244 K(R(x \ (x * y),z,u),R(y / w,w,K(x,y)) \ (x \ (x * y))) = K(R(x \ (x * y),z,u),w * K(x,y)). [para(4834(a,1),11243(a,1,2)),flip(a)]. given #10621 (H,wt=34): 11687 K(R(x \ (x * y),z,u),R(y / w,w,K(x,y)) \ (x \ (x * y))) = K(R(y,z,u),w * K(x,y)). [para(13(a,1),11244(a,2,1,1))]. given #10622 (H,wt=30): 11688 K(R(x \ (x * y),z,u),R(y / w,w,K(x,y)) \ (x \ (x * y))) = K(R(y,z,u),w). [hyper(228,a,9403,a(flip),b,11687,a)]. given #10623 (H,wt=26): 11690 K(R(x,y,z),R(x / u,u,K(w,x)) \ (w \ (w * x))) = K(R(x,y,z),u). [para(13(a,1),11688(a,1,1,1))]. given #10624 (H,wt=22): 11691 K(R(x,y,z),R(x / u,u,K(w,x)) \ x) = K(R(x,y,z),u). [para(13(a,1),11690(a,1,2,2))]. given #10625 (H,wt=25): 11692 K(R(x,y,z),R(x / u,u,L(K(w,x),v5,v6)) \ x) = K(R(x,y,z),u). [para(6128(a,1),11691(a,1,2,1,3))]. given #10626 (H,wt=38): 11444 (x * L(y,x,y)) / T(T(x,y),L(T(y,x * y),z,u)) = T(y,x * y) * a(u,z,K(T(x,y),T(y,x * y))). [para(4127(a,1),11437(a,1,1))]. given #10627 (H,wt=36): 11693 (x * L(y,x,y)) / T(T(x,y),L(T(y,x),z,u)) = T(y,x * y) * a(u,z,K(T(x,y),T(y,x * y))). [para(9614(a,1),11444(a,1,2))]. given #10628 (H,wt=34): 11694 T(x,y * x) * a(z,u,K(T(y,x),T(x,y * x))) = (y * L(x,y,x)) / T(T(y,L(x,u,z)),x). [para(3992(a,1),11693(a,1,2)),flip(a)]. given #10629 (H,wt=34): 11695 T(x,y * x) * a(z,u,K(T(y,x),T(x,y * x))) = (y * L(x,y,x)) / T(T(y,x),L(x,u,z)). [para(38(a,1),11694(a,2,2))]. given #10630 (H,wt=30): 11696 T(x,y * x) * a(z,u,K(T(y,x),T(x,y * x))) = K(L(x,u,z),y) * L(x,y,x). [hyper(228,a,7514,a(flip),b,11695,a)]. given #10631 (H,wt=30): 11697 T(x,y * x) * a(z,u,K(T(y,x),T(x,y * x))) = K(x,L(y,u,z)) * L(x,y,x). [para(11421(a,1),11696(a,2,1))]. given #10632 (H,wt=28): 11698 T(x,y * x) * a(z,u,K(T(y,x),T(x,y * x))) = L(T(x,L(y,u,z)),y,x). [hyper(228,a,7025,a(flip),b,11697,a)]. given #10633 (H,wt=26): 11699 T(x,y * x) * a(z,u,K(T(y,x),T(x,y))) = L(T(x,L(y,u,z)),y,x). [para(7151(a,1),11698(a,1,2,3))]. given #10634 (H,wt=22): 11700 T(x,y * x) * a(z,u,K(y,x)) = L(T(x,L(y,u,z)),y,x). [para(3952(a,1),11699(a,1,2,3))]. given #10635 (H,wt=26): 11701 L(K(x * y,y),z,u) \ T(y,K(x * y,y)) = L(T(y,L(x,z,u)),x,y). [hyper(228,a,11522,a,b,11700,a(flip)),flip(a)]. given #10636 (H,wt=26): 11702 K(x * y,L(y,z,u)) \ T(y,K(x * y,y)) = L(T(y,L(x,z,u)),x,y). [para(11389(a,1),11701(a,1,1))]. given #10637 (H,wt=20): 11703 L(T(x,L(y,z,u)),y,x) = K(y * x,L(x,z,u)) \ x. [para(2499(a,1),11702(a,1,2)),flip(a)]. given #10638 (H,wt=20): 11704 L(T(x,L(y,z,u)),y,x) = K(L(x,z,u),y * x) * x. [hyper(228,a,5035,a(flip),b,11703,a)]. given #10639 (H,wt=20): 11705 L(T(x,L(y,z,u)),y,x) = K(x,L(y * x,z,u)) * x. [para(11421(a,1),11704(a,2,1))]. given #10640 (H,wt=18): 11706 L(T(x,L(y,z,u)),y,x) = T(x,L(y * x,z,u)). [hyper(228,a,4712,a,b,11705,a)]. given #10641 (H,wt=21): 11707 L(T(x,L(y,z,u)),y,x) != w | T(x,L(y * x,z,u)) = w. [para(11705(a,2),4713(a,1))]. given #10642 (H,wt=39): 5317 T((1 / x) * R((1 / x) \ 1,y,z),R(x,u,w) \ x) = (1 / x) * R(T(1 / x,R(x,u,w) \ x) \ 1,y,z). [para(5102(a,1),2014(a,1,1)),flip(a)]. given #10643 (H,wt=32): 11708 T((1 / x) * R((1 / x) \ 1,y,z),R(x,u,w) \ x) = (1 / x) * R((1 / x) \ 1,y,z). [para(5102(a,1),5317(a,2,2,1,1))]. given #10644 (H,wt=28): 11709 T((1 / x) * R((1 / x) \ 1,y,z),R(x,u,w) \ x) = (1 / x) * R(x,y,z). [para(64(a,1),11708(a,2,2,1))]. given #10645 (H,wt=26): 11711 T((1 / x) * R((1 / x) \ 1,y,z),R(x,u,w) \ x) = x \ R(x,y,z). [hyper(228,a,3515,a(flip),b,11709,a)]. given #10646 (H,wt=22): 11712 T((1 / x) * R(x,y,z),R(x,u,w) \ x) = x \ R(x,y,z). [para(64(a,1),11711(a,1,1,2,1))]. given #10647 (H,wt=20): 11713 T(x \ R(x,y,z),R(x,u,w) \ x) = x \ R(x,y,z). [para(3515(a,1),11712(a,1,1))]. given #10648 (H,wt=17): 11714 ((x \ R(x,y,z)) \ 1) \ 1 = x \ R(x,y,z). [hyper(5683,a,11713,a)]. given #10649 (H,wt=33): 11715 T(R(x \ R(x,y,z),x,y * z),x * (y * z)) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(11714(a,1),11272(a,1,1,1))]. given #10650 (H,wt=32): 11716 T((x * (y * z)) \ (R(x,y,z) * (y * z)),x) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [hyper(5907,a,11715,a)]. given #10651 (H,wt=29): 11717 T((x * (y * z)) \ ((x * y) * z),x) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(109(a,1),11716(a,1,1,2))]. given #10652 (H,wt=22): 11718 (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1 = T(a(x,y,z),x). [para(24(a,2),11717(a,1,1)),flip(a)]. given #10653 (H,wt=20): 11719 a(x,y,z) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [hyper(228,a,10350,a(flip),b,11718,a),flip(a)]. given #10654 (H,wt=13): 11720 (a(x,y,z) \ 1) \ 1 = a(x,y,z). [para(24(a,2),11719(a,2,1,1)),flip(a)]. given #10655 (H,wt=13): 11721 1 / a(x,y,z) = a(x,y,z) \ 1. [para(11720(a,1),61(a,1,2))]. given #10656 (H,wt=16): 11724 (a(x,y,z) \ 1) \ 1 != u | a(x,y,z) = u. [para(11721(a,1),283(a,1,1)),flip(b)]. given #10657 (H,wt=19): 11723 (a(x,y,R(x,z,u)) \ 1) \ 1 = a(R(x,z,u),y,x). [para(10521(a,1),11720(a,1,1))]. given #10658 (H,wt=15): 11725 a(R(x,y,z),u,x) = a(x,u,R(x,y,z)). [hyper(11724,a,11723,a),flip(a)]. given #10659 (H,wt=18): 11726 a(R(x,y,z),u,x) != w | a(x,u,R(x,y,z)) = w. [para(11723(a,1),11724(a,1))]. given #10660 (H,wt=23): 11722 K(x,x \ 1) * (a(y,z,u) \ 1) = x * (1 / (a(y,z,u) * x)). [para(11720(a,1),3069(a,1,2,2,1)),flip(a)]. given #10661 (H,wt=26): 11728 K(x,x \ 1) * y != x * (1 / (a(z,u,w) * x)) | a(z,u,w) \ 1 = y. [para(11722(a,1),19(a,1)),flip(a)]. given #10662 (H,wt=39): 6540 K(x,((((y \ 1) \ (K(z,u) \ 1)) * K(z,u)) * w) \ v5) = K(x,(w \ ((((K(z,u) \ y) \ 1) \ 1) \ K(u,z))) * v5). [para(6013(a,2),5935(a,1,2,1,1))]. given #10663 (H,wt=37): 11729 K(x,(y \ ((((K(z,u) \ w) \ 1) \ 1) \ K(u,z))) * v5) = K(x,((((w \ 1) \ K(u,z)) * K(z,u)) * y) \ v5). [para(4879(a,1),6540(a,1,2,1,1,1,2)),flip(a)]. given #10664 (H,wt=31): 11730 K(x,(y \ ((((K(z,u) \ w) \ 1) \ 1) \ K(u,z))) * v5) = K(x,(((w \ 1) \ 1) * y) \ v5). [para(4895(a,1),11729(a,2,2,1,1))]. given #10665 (H,wt=29): 11731 K(x,(y \ ((((K(z,u) \ w) \ 1) \ 1) \ K(u,z))) * v5) = K(x,(y \ (w \ 1)) * v5). [hyper(228,a,6158,a(flip),b,11730,a)]. given #10666 (H,wt=27): 11733 K(x,(y \ ((((K(z,u) \ w) \ 1) \ 1) \ K(u,z))) * v5) = K(x,(w * y) \ v5). [hyper(228,a,5545,a(flip),b,11731,a)]. given #10667 (H,wt=25): 11734 K(x,(y \ (((z \ K(u,w)) \ 1) \ K(w,u))) * v5) = K(x,(z * y) \ v5). [para(5130(a,1),11733(a,1,2,1,2,1,1))]. given #10668 (H,wt=39): 9291 T(x,R(((y / T(1 / z,u)) \ 1) \ K(z,z \ 1),w,v5)) = T(x,R(T(y / T(z \ 1,u),K(z,z \ 1)),w,v5)). [para(6656(a,1),9290(a,1,2,1,1))]. given #10669 (H,wt=35): 11735 T(x,R(T(y / T(z \ 1,u),K(z,z \ 1)),w,v5)) = T(x,R(((y / T(1 / z,u)) \ 1) \ 1,w,v5)). [hyper(228,a,4550,a(flip),b,9291,a(flip))]. given #10670 (H,wt=31): 11737 T(x,R(T(y / T(z \ 1,u),K(z,z \ 1)),w,v5)) = T(x,R(y / T(1 / z,u),w,v5)). [hyper(228,a,3375,a(flip),b,11735,a)]. given #10671 (H,wt=25): 11738 T(x,R(y / T(1 / z,u),w,v5)) = T(x,R(y / T(z \ 1,u),w,v5)). [para(2339(a,1),11737(a,1,2,1)),flip(a)]. given #10672 (H,wt=39): 10088 ((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(9909(a,1),9984(a,2,2,2,1,1))]. given #10673 (H,wt=29): 11740 a(x,K(x,y) * z,R(x,u,w)) = x \ (v5 \ ((R(x,z,R(x,u,w)) * (x \ v5)) * x)). [hyper(10083,a,10088,a)]. given #10674 (H,wt=27): 11741 a(T(x,y),z,R(x,u,w)) = x \ (v5 \ ((R(x,z,R(x,u,w)) * (x \ v5)) * x)). [hyper(10908,a,11740,a)]. given #10675 (H,wt=27): 11743 a(T(x,y),z,R(x,u,w)) = x \ (v5 \ ((x * (x \ v5)) * R(x,z,R(x,u,w)))). [para(10008(a,1),11741(a,2,2,2))]. given #10676 (H,wt=23): 11744 a(T(x,y),z,R(x,u,w)) = x \ (v5 \ (v5 * R(x,z,R(x,u,w)))). [para(14(a,1),11743(a,2,2,2,1))]. given #10677 (H,wt=19): 11745 a(T(x,y),z,R(x,u,w)) = x \ R(x,z,R(x,u,w)). [para(13(a,1),11744(a,2,2))]. given #10678 (H,wt=17): 11747 a(T(x,y),z,R(x,u,w)) = a(x,z,R(x,u,w)). [hyper(228,a,10065,a(flip),b,11745,a)]. given #10679 (H,wt=21): 11748 a(x,T(x,y) \ z,R(x,u,w)) = a(x,x \ z,R(x,u,w)). [hyper(228,a,10909,a(flip),b,11747,a(flip))]. given #10680 (H,wt=39): 10478 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(1101(a,1),10477(a,1,2,2,1)),flip(a)]. given #10681 (H,wt=33): 11750 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(228,a,7033,a(flip),b,10478,a)]. given #10682 (H,wt=29): 11752 K((x \ y) \ T(y,x),z \ L((x \ y) \ T(y,x),u,w)) = K(x,z \ L(x,u,w)). [hyper(228,a,10477,a(flip),b,11750,a)]. given #10683 (H,wt=39): 10878 T(x,x * K((y * z) \ (u * w),w)) \ T(K(w,(y * (w \ z)) \ u) * x,x) = K(w,T((y * (w \ z)) \ u,x)). [para(10560(a,1),10877(a,1,1,2,2))]. given #10684 (H,wt=39): 11754 T(x,x * K((y * z) \ (u * w),w)) \ T(K(w,(y * z) \ (u * w)) * x,x) = K(w,T((y * (w \ z)) \ u,x)). [para(10544(a,1),10878(a,1,2,1,1))]. given #10685 (H,wt=23): 11755 K(x,T((y * (x \ z)) \ u,w)) = K(x,T((y * z) \ (u * x),w)). [hyper(228,a,10877,a(flip),b,11754,a(flip))]. given #10686 (H,wt=23): 11756 K(x,T((y * z) \ (u * x),y * z)) = K(x,u / (y * (x \ z))). [hyper(9133,a,11755,a),flip(a)]. given #10687 (H,wt=19): 11757 K(x,(y * x) / (z * u)) = K(x,y / (z * (x \ u))). [hyper(7960,a,11756,a)]. given #10688 (H,wt=19): 11758 K(x,y / (z * (x \ u))) = K(x,((z * u) / y) \ x). [hyper(8380,a,11757,a),flip(a)]. given #10689 (H,wt=28): 11759 R(K(x,((y * z) / (u / w)) \ x),w \ u,w) = K(x,u / ((y * (x \ z)) * w)). [para(11758(a,1),10631(a,1,1))]. given #10690 (H,wt=23): 11760 K(x,y / ((x \ (z * u)) * w)) = K(x,y / ((z * (x \ u)) * w)). [hyper(228,a,10630,a(flip),b,11759,a(flip)),flip(a)]. given #10691 (H,wt=23): 11761 K(x,y / ((z * (x \ u)) * w)) = K(x,(((z * u) * w) / y) \ x). [hyper(10982,a,11760,a),flip(a)]. given #10692 (H,wt=22): 11762 K(x,(((y * z) * u) / (z * u)) \ x) = R(K(x,y \ x),z,u). [hyper(228,a,6990,a(flip),b,11761,a(flip))]. given #10693 (H,wt=17): 11763 R(K(x,y \ x),z,u) = K(x,R(y,z,u) \ x). [para(30(a,2),11762(a,1,2,1)),flip(a)]. given #10694 (H,wt=17): 11765 K(x,R(y \ x,z,u) \ x) = R(K(x,y),z,u). [para(5107(a,1),11763(a,1,1)),flip(a)]. given #10695 (H,wt=19): 11766 K(x,R(y \ 1,z,u) \ x) = R(K(x,x * y),z,u). [para(5539(a,1),11763(a,1,1)),flip(a)]. given #10696 (H,wt=19): 11768 K(x,R(1 / y,z,u) \ x) = R(K(x,x * y),z,u). [hyper(6087,a,11766,a)]. given #10697 (H,wt=27): 11767 R(K(x,R(y \ x,z,u) \ x),w,v5) = K(x,R(R(x / y,z,u),w,v5) \ x). [para(11120(a,1),11763(a,1,1))]. given #10698 (H,wt=23): 11770 K(x,R(R(x / y,z,u),w,v5) \ x) = R(R(K(x,y),z,u),w,v5). [para(11765(a,1),11767(a,1,1)),flip(a)]. given #10699 (H,wt=29): 11764 R(K(x,R(1 / y,y,z) \ x),y * z,u) = K(x,((z * u) / ((y * z) * u)) \ x). [para(502(a,1),11763(a,2,2,1))]. given #10700 (H,wt=29): 11771 R(K(x,R(y \ 1,y,z) \ x),y * z,u) = K(x,((z * u) / ((y * z) * u)) \ x). [para(5578(a,1),11764(a,1,1))]. given #10701 (H,wt=40): 3881 ((x / y) * ((x * (y / x)) / T(x,x \ y))) * ((x / y) \ 1) = R(1 / (x / y),x / y,(x / y) \ T(x,x \ y)). [para(3877(a,1),1522(a,1,1,2,1))]. given #10702 (H,wt=32): 11772 R(1 / (x / y),x / y,(x / y) \ T(x,x \ y)) = ((x / y) * (y / x)) * ((x / y) \ 1). [para(3970(a,1),3881(a,1,1,2)),flip(a)]. given #10703 (H,wt=22): 11773 R(1 / (x / y),x / y,(x / y) \ T(x,x \ y)) = y / x. [hyper(228,a,1514,a(flip),b,11772,a)]. given #10704 (H,wt=18): 11774 R(1 / (x / y),x / y,x * (y / x)) = y / x. [para(3877(a,1),11773(a,1,3))]. given #10705 (H,wt=30): 11775 ((x / y) \ (1 / (y / x))) * R(1 / (y / x),y / x,y * (x / y)) = 1 / (y / x). [para(11774(a,1),3528(a,1,1,1))]. given #10706 (H,wt=19): 11776 ((x / y) \ (1 / (y / x))) * (x / y) = 1 / (y / x). [para(11774(a,1),11775(a,1,2))]. given #10707 (H,wt=17): 11777 T(x / y,(x / y) \ (1 / (y / x))) = x / y. [hyper(266,a,11776,a)]. given #10708 (H,wt=17): 11778 T(x / y,(x / y) \ ((y / x) \ 1)) = x / y. [hyper(228,a,4359,a(flip),b,11777,a(flip)),flip(a)]. given #10709 (H,wt=19): 11779 ((x / y) \ ((y / x) \ 1)) * (x / y) = (y / x) \ 1. [para(11778(a,1),168(a,1,2))]. given #10710 (H,wt=40): 3888 T(L(x,y,y \ 1),(1 / y) \ 1) \ ((1 / y) \ T(L(x,y,y \ 1),(1 / y) \ 1)) = L(x,y,y \ 1) \ (y * x). [para(2998(a,1),3887(a,2,2))]. given #10711 (H,wt=36): 11780 T(L(x,y,y \ 1),y) \ ((1 / y) \ T(L(x,y,y \ 1),(1 / y) \ 1)) = L(x,y,y \ 1) \ (y * x). [para(64(a,1),3888(a,1,1,2))]. given #10712 (H,wt=36): 11781 L(T(x,y),y,y \ 1) \ ((1 / y) \ T(L(x,y,y \ 1),(1 / y) \ 1)) = L(x,y,y \ 1) \ (y * x). [para(40(a,2),11780(a,1,1))]. given #10713 (H,wt=35): 11782 ((1 / x) * (y * x)) \ ((1 / x) \ T(L(y,x,x \ 1),(1 / x) \ 1)) = L(y,x,x \ 1) \ (x * y). [para(2994(a,1),11781(a,1,1))]. given #10714 (H,wt=31): 11783 ((1 / x) * (y * x)) \ ((1 / x) \ T(L(y,x,x \ 1),x)) = L(y,x,x \ 1) \ (x * y). [para(64(a,1),11782(a,1,2,2,2))]. given #10715 (H,wt=31): 11784 ((1 / x) * (y * x)) \ ((1 / x) \ L(T(y,x),x,x \ 1)) = L(y,x,x \ 1) \ (x * y). [para(40(a,2),11783(a,1,2,2))]. given #10716 (H,wt=30): 11785 ((1 / x) * (y * x)) \ ((1 / x) \ ((1 / x) * (y * x))) = L(y,x,x \ 1) \ (x * y). [para(2994(a,1),11784(a,1,2,2))]. given #10717 (H,wt=22): 11786 ((1 / x) * (y * x)) \ (y * x) = L(y,x,x \ 1) \ (x * y). [para(13(a,1),11785(a,1,2))]. given #10718 (H,wt=25): 11788 1 / R(T(x,y),x \ 1,y * x) = (L(y,x,x \ 1) \ (x * y)) \ 1. [para(11786(a,1),4231(a,1,1)),flip(a)]. given #10719 (H,wt=25): 11789 ((L(x,y,y \ 1) \ (y * x)) \ 1) \ 1 = R(T(y,x),y \ 1,x * y). [para(11788(a,1),64(a,1,1))]. given #10720 (H,wt=22): 11790 ((x \ 1) * (x * y)) \ (x * y) = R(T(x,y),x \ 1,y * x). [hyper(228,a,3132,a(flip),b,11789,a(flip)),flip(a)]. given #10721 (H,wt=40): 6890 L(x * 1,K(y,z) * K(y,u),(K(y,z) * K(y,u)) \ 1) = ((K(y,z) * K(y,u)) \ 1) * ((K(y,z) * K(y,u)) * x). [para(6888(a,1),3091(a,1,1,2))]. given #10722 (H,wt=38): 11791 ((K(x,y) * K(x,z)) \ 1) * ((K(x,y) * K(x,z)) * u) = L(u,K(x,y) * K(x,z),(K(x,y) * K(x,z)) \ 1). [para(12(a,1),6890(a,1,1)),flip(a)]. given #10723 (H,wt=36): 11792 ((K(x,y) * K(x,z)) \ 1) * ((K(x,y) * K(x,z)) * u) = L(u,K(x,y) * K(x,z),K(y,x) * K(z,x)). [para(6005(a,1),11791(a,2,3))]. given #10724 (H,wt=34): 11793 (K(x,y) * K(z,y)) * ((K(y,x) * K(y,z)) * u) = L(u,K(y,x) * K(y,z),K(x,y) * K(z,y)). [para(6005(a,1),11792(a,1,1))]. given #10725 (H,wt=40): 8604 (K(x,y / z) * K(K(x,z \ y),u)) / T(K(x,z \ y),u) = R(K(x,K(z,y)),K(x,z \ y),K(K(x,z \ y),u)). [para(8603(a,1),4772(a,1,1,1))]. given #10726 (H,wt=40): 8932 K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = (u * K(z,x)) \ ((K(x,y) * K(z,x)) * (u / K(x,y))). [para(8928(a,1),1272(a,1,2,2)),flip(a)]. given #10727 (H,wt=40): 8972 L((x * (K(y,x) / T(x,z))) \ u,T(x,z) \ ((x \ 1) \ K(y,x)),T(x,z)) = ((x \ 1) \ K(y,x)) \ (T(x,z) * u). [para(8549(a,1),458(a,1,1,1))]. given #10728 (H,wt=40): 9144 (x * (y * (K(z,y) \ (y \ u)))) * K(z,L(y,K(z,y) \ (y \ u),x)) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). [para(4504(a,2),9081(a,2,2))]. given #10729 (H,wt=40): 9298 (T(x,y) / T(R(x,z,x),u)) * K(x \ L(T(x,y),z,x),R(x,z,x)) = T(T(x,y) / T(R(x,z,x),u),R(x,z,x)). [para(9295(a,1),7368(a,1,2,1))]. given #10730 (H,wt=40): 9379 L(L(T(x,y),z,u),K(x,w),y) \ (L(x,z,u) * (y * K(x,w))) = T(y * K(x,w),L(L(T(x,y),z,u),K(x,w),y)). [para(9145(a,1),444(a,1,2))]. given #10731 (H,wt=35): 11798 T(x * K(y,z),L(L(T(y,x),u,w),K(y,z),x)) = L(T(y,x),u,w) \ (L(y,u,w) * (x * K(y,z))). [para(6053(a,1),9379(a,1,1)),flip(a)]. given #10732 (H,wt=30): 11799 T(x * K(y,z),L(L(T(y,x),u,w),K(y,z),x)) = K(x,L(y,u,w)) * (x * K(y,z)). [hyper(228,a,5158,a(flip),b,11798,a)]. given #10733 (H,wt=28): 11801 T(x * K(y,z),L(L(T(y,x),u,w),K(y,z),x)) = T(x,L(y,u,w)) * K(y,z). [hyper(228,a,4720,a(flip),b,11799,a)]. given #10734 (H,wt=23): 11802 T(x * K(y,z),L(T(y,x),u,w)) = T(x,L(y,u,w)) * K(y,z). [para(6053(a,1),11801(a,1,2))]. given #10735 (H,wt=21): 11803 T(x * K(y,z),L(y,u,w)) = T(x,L(y,u,w)) * K(y,z). [hyper(228,a,7063,a(flip),b,11802,a(flip)),flip(a)]. given #10736 (H,wt=19): 11805 T(x * K(y,x),L(y,z,u)) = x * a(u,z,K(y,x)). [hyper(228,a,11433,a(flip),b,11803,a)]. given #10737 (H,wt=17): 11806 T(x * a(y,z,K(u,x)),u) = T(x,L(u,z,y)). [para(11805(a,1),4742(a,1,1))]. given #10738 (H,wt=22): 11807 T(x * a(y,z,K(u,x)),x * u) = L(T(x,L(u,z,y)),u,x). [para(11805(a,1),4840(a,1,1))]. given #10739 (H,wt=21): 11808 T(x * a(y,z,K(u,x)),x * u) = T(x,L(u * x,z,y)). [hyper(228,a,11706,a(flip),b,11807,a)]. given #10740 (H,wt=40): 10457 K(((x \ y) \ 1) * z,T((x \ y) \ 1,x)) * K((x \ y) \ 1,T(z,T(x,y))) = a((x \ y) \ 1,z,(x \ y) \ 1). [para(7608(a,1),10455(a,1,1,2))]. given #10741 (H,wt=36): 11809 K(((x \ y) \ 1) * z,x / y) * K((x \ y) \ 1,T(z,T(x,y))) = a((x \ y) \ 1,z,(x \ y) \ 1). [para(7882(a,1),10457(a,1,1))]. given #10742 (H,wt=34): 11810 K((x \ y) \ z,x / y) * K((x \ y) \ 1,T(z,T(x,y))) = a((x \ y) \ 1,z,(x \ y) \ 1). [para(5635(a,1),11809(a,1,1))]. given #10743 (H,wt=32): 11811 K((x \ y) \ z,x / y) * K(y \ x,T(z,T(x,y))) = a((x \ y) \ 1,z,(x \ y) \ 1). [para(5601(a,1),11810(a,1,2))]. given #10744 (H,wt=28): 11812 K((x \ y) \ z,x / y) * K(x / y,z) = a((x \ y) \ 1,z,(x \ y) \ 1). [para(9533(a,1),11811(a,1,2))]. given #10745 (H,wt=40): 10929 R(K(x,K(y,z)) * R(K(y,K(z,x)),u,w),K(K(y,z),v5),v6) * v7 = K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * v7). [para(7693(a,1),10927(a,1,1,1,2,1))]. given #10746 (H,wt=40): 11577 K(x * y,K(z,L(a(x,y,u),x * (y * u),K(x * y,w)))) = K(x * y,K(z,(T(x * y,w) * u) \ L(u,y,x))). [para(11576(a,1),9236(a,1,2,2))]. given #10747 (H,wt=29): 11814 K(x * y,K(z,(T(x * y,u) * w) \ L(w,y,x))) = K(z,K(x * y,a(x,y,w))). [hyper(228,a,7736,a(flip),b,11577,a(flip))]. given #10748 (H,wt=29): 11815 K(x,K(y * z,(T(y * z,u) * w) \ L(w,z,y))) = K(x,K(y * z,a(y,z,w))). [hyper(7725,a,11814,a)]. given #10749 (H,wt=27): 11817 K(x,K(y * z,u \ ((y * z) \ L(u,z,y)))) = K(x,K(y * z,a(y,z,u))). [para(8639(a,1),11815(a,1,2))]. given #10750 (H,wt=23): 11818 K(x,K(y * z,u \ L(u,z,y))) = K(x,K(y * z,a(y,z,u))). [hyper(228,a,9227,a(flip),b,11817,a(flip)),flip(a)]. given #10751 (H,wt=40): 11727 (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(228,a,9157,a,b,11725,a),flip(a)]. given #10752 (H,wt=38): 11819 (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(6708(a,1),11727(a,1,1,2))]. given #10753 (H,wt=36): 11820 (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(587(a,1),11819(a,1,1))]. given #10754 (H,wt=34): 11821 a(R(T(x,y),z,u),T(x,y) \ y,T(x,y)) = (L(R(x,z,u),x \ y,x) * y) \ (R(x,z,u) * y). [para(184(a,1),11820(a,1,2)),flip(a)]. given #10755 (H,wt=27): 11822 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(228,a,1263,a(flip),b,11821,a)]. given #10756 (H,wt=27): 11823 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(42(a,2),11822(a,2,3))]. given #10757 (H,wt=27): 11824 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(11726,a,11823,a)]. given #10758 (H,wt=23): 11825 a(x,T(x,y) \ y,R(x,z,u)) = a(x,x \ y,R(T(x,y),z,u)). [hyper(10243,a,11824,a)]. given #10759 (H,wt=21): 11827 a(x,x \ y,R(T(x,y),z,u)) = a(x,x \ y,R(x,z,u)). [hyper(228,a,11748,a(flip),b,11825,a(flip))]. given #10760 (H,wt=27): 11829 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(228,a,11265,a,b,11827,a(flip)),flip(a)]. given #10761 (H,wt=25): 11830 a(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = a(x,x \ u,R(x,y,z)). [hyper(9421,a,11829,a)]. given #10762 (H,wt=28): 11831 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,y \ (w * y),R(y,z,u)). [para(11830(a,1),11204(a,1,2)),flip(a)]. given #10763 (H,wt=26): 11832 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,T(w,y),R(y,z,u)). [para(32(a,2),11831(a,2,2,2))]. given #10764 (H,wt=24): 11833 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,w,R(y,z,u)). [para(10136(a,1),11832(a,2,2))]. given #10765 (H,wt=25): 11834 x * a(R(y,z,u),w,L(R(y,z,u),v5,v6)) = x * a(y,w,R(y,z,u)). [hyper(228,a,11475,a(flip),b,11833,a(flip)),flip(a)]. given #10766 (H,wt=22): 11835 x * a(R(y,z,u),w,R(y,z,u)) = x * a(y,w,R(y,z,u)). [para(333(a,1),11834(a,1,2,3))]. given #10767 (H,wt=18): 11836 a(R(x,y,z),u,R(x,y,z)) = a(x,u,R(x,y,z)). [hyper(9773,a,11835,a)]. given #10768 (H,wt=17): 11837 R(a(x,y,x),x * z,u) = a(x,y,R(x,z,u)). [hyper(11543,a,11836,a)]. given #10769 (H,wt=17): 11839 a(x,y,R(x,x \ z,u)) = R(a(x,y,x),z,u). [para(14(a,1),11837(a,1,2)),flip(a)]. given #10770 (H,wt=19): 11840 R(x,y,R(x,x \ z,u)) = x * R(a(x,y,x),z,u). [para(11839(a,1),10069(a,1,2)),flip(a)]. given #10771 (H,wt=22): 11838 a(x,R(x,y,z) \ u,R(x,y,z)) = a(x,x \ u,R(x,y,z)). [hyper(228,a,11830,a(flip),b,11836,a(flip))]. given #10772 (H,wt=22): 11843 a(x,x \ y,R(x,z,u)) * K(x,y) = K(x,R(x,z,u) \ y). [para(11838(a,1),10138(a,1,1))]. given #10773 (H,wt=22): 11844 K(x,y) * a(x,x \ y,R(x,z,u)) = K(x,R(x,z,u) \ y). [hyper(228,a,10128,a(flip),b,11843,a(flip)),flip(a)]. given #10774 (H,wt=23): 11841 R(T(x,y),z,R(x,x \ u,w)) = T(x,y) * R(a(x,z,x),u,w). [para(11839(a,1),10081(a,1,2)),flip(a)]. given #10775 (H,wt=29): 11842 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(228,a,10234,a(flip),b,11840,a(flip))]. given #10776 (H,wt=25): 11845 R(T(x,y),z,R(x,T(x,y) \ u,w)) = T(x,y) * R(a(x,z,x),u,w). [para(10284(a,1),11842(a,1,2,1)),flip(a)]. given #10777 (H,wt=25): 11846 R(T(x,y),z,R(x,T(x,y) \ u,w)) = R(T(x,y),z,R(x,x \ u,w)). [hyper(228,a,11841,a,b,11845,a)]. given #10778 (H,wt=36): 11848 (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(11846(a,1),11478(a,2,1,1))]. given #10779 (H,wt=40): 11794 (K(x,y / z) * K(x,K(u,z \ y))) / T(K(x,z \ y),u) = R(K(x,K(z,y)),K(x,z \ y),K(K(x,z \ y),u)). [para(7739(a,1),8604(a,1,1,2))]. given #10780 (H,wt=36): 11849 R(K(x,K(y,z)),K(x,y \ z),K(K(x,y \ z),u)) = K(x,T(z / y,T(u,y))) / T(K(x,y \ z),u). [para(8007(a,1),11794(a,1,1)),flip(a)]. given #10781 (H,wt=36): 11850 R(K(x,K(y,z)),K(x,y \ z),K(K(x,y \ z),u)) = K(x,T(z / y,T(u,y))) / K(x,T(y \ z,u)). [para(7152(a,2),11849(a,2,2))]. given #10782 (H,wt=36): 11851 R(K(x,K(y,z)),K(x,y \ z),K(K(x,y \ z),u)) = K(x,T(z / y,T(u,y))) * K(y \ z,T(x,u)). [hyper(228,a,7231,a(flip),b,11850,a)]. given #10783 (H,wt=36): 11852 R(K(x,K(y,z)),K(x,z \ y),K(K(x,z \ y),u)) = K(x,T(y / z,T(u,z))) * K(z \ y,T(x,u)). [para(7741(a,1),11851(a,1,1))]. given #10784 (H,wt=23): 11853 K(x,T(y / z,T(u,z))) * K(z \ y,T(x,u)) = K(x,K(y,z)). [hyper(228,a,5506,a(flip),b,11852,a(flip))]. given #10785 (H,wt=40): 11795 K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = (u * K(z,x)) \ ((K(x,y) * K(z,x)) * (u * K(y,x))). [para(5063(a,1),8932(a,2,2,2))]. given #10786 (H,wt=40): 11796 (x * (y * (K(y,z) * (y \ u)))) * K(z,L(y,K(z,y) \ (y \ u),x)) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). [para(5035(a,1),9144(a,1,1,2,2))]. given #10787 (H,wt=36): 11856 (x * (K(y,z) * u)) * K(z,L(y,K(z,y) \ (y \ u),x)) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). [para(4991(a,1),11796(a,1,1,2))]. given #10788 (H,wt=36): 11857 (x * (K(y,z) * u)) * K(z,L(y,K(y,z) * (y \ u),x)) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). [para(5035(a,1),11856(a,1,2,2,2))]. given #10789 (H,wt=32): 11858 (x * (K(y,z) * u)) * K(z,L(y,y \ u,x)) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). [para(10003(a,1),11857(a,1,2))]. given #10790 (H,wt=30): 11859 (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). [para(8951(a,1),11858(a,1,2))]. given #10791 (H,wt=30): 11861 (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * (((K(y,z) * (u / y)) * K(z,y)) * y). [para(5035(a,1),11859(a,2,2,1,1))]. given #10792 (H,wt=26): 11862 (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * (T(u / y,K(y,z)) * y). [para(7787(a,1),11861(a,2,2,1))]. given #10793 (H,wt=26): 11863 (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * T((u / y) * y,K(y,z)). [para(7669(a,2),11862(a,2,2))]. given #10794 (H,wt=22): 11864 (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * T(u,K(y,z)). [para(16(a,1),11863(a,2,2,1))]. given #10795 (H,wt=40): 11797 (R(T(x,y),z,x) \ T(x,u)) * K(x \ L(T(x,u),z,x),R(x,z,x)) = T(T(x,u) / T(R(x,z,x),y),R(x,z,x)). [para(8753(a,1),9298(a,1,1))]. given #10796 (H,wt=37): 11866 (R(T(x,y),z,x) \ T(x,u)) * K(x \ L(T(x,u),z,x),x) = T(T(x,u) / T(R(x,z,x),y),R(x,z,x)). [para(7098(a,1),11797(a,1,2))]. given #10797 (H,wt=28): 11868 T(T(x,y) / T(R(x,z,x),u),R(x,z,x)) = (R(T(x,u),z,x) \ T(x,y)) * 1. [para(8437(a,1),11866(a,1,2)),flip(a)]. given #10798 (H,wt=26): 11869 T(T(x,y) / T(R(x,z,x),u),R(x,z,x)) = R(T(x,u),z,x) \ T(x,y). [hyper(228,a,12,a(flip),b,11868,a)]. given #10799 (H,wt=21): 11871 R(T(x,y),z,x) \ T(x,u) = T(x,y) \ L(T(x,u),z,x). [hyper(228,a,10342,a(flip),b,11869,a(flip))]. given #10800 (H,wt=40): 11813 R(K(x,K(y,z)) * K(y,K(z,R(x,u,w))),K(K(y,z),v5),v6) * v7 = K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * v7). [para(8987(a,1),10929(a,1,1,1,2))]. given #10801 (H,wt=38): 11872 R(K(x,K(y,z) * K(R(z,u,w),y)),K(K(y,x),v5),v6) * v7 = K(z,K(y,x)) * (R(K(K(y,x),z),u,w) * v7). [para(11657(a,1),11813(a,1,1,1))]. given #10802 (H,wt=40): 11855 K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = (u * K(z,x)) \ (K(x,y) * (K(z,x) * (u * K(y,x)))). [para(10021(a,1),11795(a,2,2))]. given #10803 (H,wt=36): 11873 K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = (u * K(z,x)) \ T(K(z,x) * u,K(x,y)). [para(9222(a,1),11855(a,2,2))]. given #10804 (H,wt=36): 11874 K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = K(K(z,x),u) * K(K(z,x) * u,K(x,y)). [hyper(228,a,6267,a(flip),b,11873,a)]. given #10805 (H,wt=36): 11875 K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = K(u,K(z,x)) * K(K(z,x) * u,K(x,y)). [para(7740(a,1),11874(a,2,1))]. given #10806 (H,wt=32): 11876 K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = K(u,K(z,x)) * K(u,K(x,y)). [para(8048(a,1),11875(a,2,2))]. given #10807 (H,wt=30): 11877 K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = K(u,K(z,x) * K(x,y)). [hyper(228,a,11637,a(flip),b,11876,a)]. given #10808 (H,wt=30): 11879 K(K(x,y) * K(z,x),R(u * K(y,x),K(x,y),K(z,x))) = K(u,K(z,x) * K(x,y)). [para(5063(a,1),11877(a,1,2,1))]. given #10809 (H,wt=23): 11880 K(K(x,y) * K(z,x),u * K(y,x)) = K(u,K(z,x) * K(x,y)). [para(8928(a,1),11879(a,1,2))]. given #10810 (H,wt=29): 11882 (K(x,y) * K(z,x)) \ K(u,K(z,x) * K(x,y)) = K(x,T(z,u)) * K(y,T(x,u)). [para(11880(a,1),11217(a,1,2))]. given #10811 (H,wt=41): 4509 ((x * ((y * x) \ y)) \ 1) * T(((x * ((y * x) \ y)) \ 1) \ (1 / ((y * x) \ y)),z) = T(x,z) / (x * ((y * x) \ y)). [para(1509(a,1),4470(a,2,1,1))]. given #10812 (H,wt=25): 11883 ((x * ((y * x) \ y)) \ 1) * T(x,z) = T(x,z) / (x * ((y * x) \ y)). [para(10207(a,1),4509(a,1,2,1))]. given #10813 (H,wt=25): 11884 ((x * ((y * x) \ y)) \ 1) * T(x,z) = (x * ((y * x) \ y)) \ T(x,z). [hyper(228,a,10196,a(flip),b,11883,a)]. given #10814 (H,wt=41): 6752 K(x,y) * ((K(x,y) \ z) * L(T(K(x,u),K(x,y) \ z),w,v5)) = z * L(T(K(x,u),K(x,y) * (K(x,y) \ z)),w,v5). [para(6751(a,1),706(a,1,2,1)),flip(a)]. given #10815 (H,wt=33): 11885 K(x,y) * ((K(x,y) \ z) * L(T(K(x,u),K(x,y) \ z),w,v5)) = z * L(T(K(x,u),z),w,v5). [para(14(a,1),6752(a,2,2,1,2))]. given #10816 (H,wt=31): 11886 K(x,y) * ((K(x,y) \ z) * L(T(K(x,u),K(x,y) \ z),w,v5)) = L(K(x,u),w,v5) * z. [hyper(228,a,183,a(flip),b,11885,a)]. given #10817 (H,wt=25): 11887 K(x,y) * (L(K(x,z),u,w) * (K(x,y) \ v5)) = L(K(x,z),u,w) * v5. [para(183(a,1),11886(a,1,2))]. given #10818 (H,wt=25): 11888 K(x,y) * (L(K(x,z),u,w) * (K(y,x) * v5)) = L(K(x,z),u,w) * v5. [para(5035(a,1),11887(a,1,2,2))]. given #10819 (H,wt=25): 11889 L(K(x,y),z,u) * (K(w,x) * v5) = K(w,x) * (L(K(x,y),z,u) * v5). [hyper(5071,a,11888,a),flip(a)]. given #10820 (H,wt=28): 11891 K(x,y) * (L(K(x,z),u,w) * (K(y,x) * v5)) != v6 | L(K(x,z),u,w) * v5 = v6. [para(11889(a,2),5046(a,1,2)),flip(b)]. given #10821 (H,wt=42): 6778 ((x \ y) * ((y \ 1) * z)) \ K(x \ 1,(y \ 1) \ ((x \ y) \ 1)) = L(z,y \ 1,x \ y) \ (1 / ((x \ y) * (y \ 1))). [para(119(a,1),6543(a,1,2,1))]. given #10822 (H,wt=38): 11892 L(x,y \ 1,z \ y) \ (1 / ((z \ y) * (y \ 1))) = ((z \ y) * ((y \ 1) * x)) \ K(z \ 1,(z \ 1) \ 1). [para(257(a,1),6778(a,1,2,2)),flip(a)]. given #10823 (H,wt=34): 11894 L(x,y \ 1,z \ y) \ (1 / ((z \ y) * (y \ 1))) = ((z \ y) * ((y \ 1) * x)) \ K(z \ 1,z). [para(1845(a,1),11892(a,2,2))]. given #10824 (H,wt=26): 11895 ((x \ y) * ((y \ 1) * z)) \ K(x \ 1,x) = L(z,y \ 1,x \ y) \ x. [para(255(a,1),11894(a,1,2)),flip(a)]. given #10825 (H,wt=26): 11896 (((x \ y) * ((y \ 1) * z)) \ (x \ 1)) * x = L(z,y \ 1,x \ y) \ x. [hyper(228,a,4362,a(flip),b,11895,a(flip)),flip(a)]. given #10826 (H,wt=40): 11897 (((x \ y) * K(z \ (y \ 1),(y \ 1) \ z)) \ (x \ 1)) * x = L((z \ 1) * (z / (y \ 1)),y \ 1,x \ y) \ x. [para(6871(a,1),11896(a,1,1,1,2))]. given #10827 (H,wt=38): 11898 (((x \ y) * K(z \ (y \ 1),y * z)) \ (x \ 1)) * x = L((z \ 1) * (z / (y \ 1)),y \ 1,x \ y) \ x. [para(5548(a,1),11897(a,1,1,1,2))]. given #10828 (H,wt=38): 11899 K(x * y,y \ (x \ 1)) * (((z \ x) \ (z \ 1)) * z) = L((y \ 1) * (y / (x \ 1)),x \ 1,z \ x) \ z. [hyper(5314,a,11898,a)]. given #10829 (H,wt=34): 11900 L((x \ 1) * (x / (y \ 1)),y \ 1,z \ y) \ z = K(y * x,x \ (y \ 1)) * ((y \ 1) * z). [para(249(a,1),11899(a,1,2,1)),flip(a)]. given #10830 (H,wt=34): 11902 L((x \ 1) * ((1 / x) \ y),y \ 1,z \ y) \ z = K(y * x,x \ (y \ 1)) * ((y \ 1) * z). [para(317(a,1),11900(a,1,1,1,2))]. given #10831 (H,wt=32): 11903 L(K(x \ 1,x) * y,y \ 1,z \ y) \ z = K(y * x,x \ (y \ 1)) * ((y \ 1) * z). [para(3024(a,1),11902(a,1,1,1))]. given #10832 (H,wt=42): 8467 T(((T(x,y) \ y) * ((x \ y) \ y)) / (T(x,y) \ y),x * (y / T(x,y))) = L((x \ y) \ y,T(x,y) \ y,(x \ y) \ y). [para(7626(a,1),683(a,1,2))]. given #10833 (H,wt=34): 11904 T(T(x,y) / (T(y,x) \ x),y * (x / T(y,x))) = L((y \ x) \ x,T(y,x) \ x,(y \ x) \ x). [para(5887(a,1),8467(a,1,1,1))]. given #10834 (H,wt=26): 11905 L((x \ y) \ y,T(x,y) \ y,(x \ y) \ y) = T(x,x * (y / T(x,y))). [para(3938(a,1),11904(a,1,1)),flip(a)]. given #10835 (H,wt=20): 11906 L((x \ y) \ y,T(x,y) \ y,(x \ y) \ y) = T(x,y). [hyper(228,a,7264,a(flip),b,11905,a)]. given #10836 (H,wt=42): 10442 (K(x,y) * z) * R((K(x,y) * z) \ (T(T(x,y),T(u,y)) * z),w,v5) = R(R(T(x,u),K(x,y),z),w,v5) * (K(x,y) * z). [para(10440(a,1),598(a,1,1,1)),flip(a)]. given #10837 (H,wt=37): 11908 (K(x,y) * z) * R((K(x,y) * z) \ (T(T(x,y),T(u,y)) * z),w,v5) = (R(T(x,u),w,v5) * K(x,y)) * z. [hyper(228,a,483,a(flip),b,10442,a)]. given #10838 (H,wt=33): 11909 (K(x,y) * R(K(x,y) \ T(T(x,y),T(z,y)),u,w)) * v5 = (R(T(x,z),u,w) * K(x,y)) * v5. [hyper(228,a,1596,a(flip),b,11908,a(flip)),flip(a)]. given #10839 (H,wt=33): 11910 (K(x,y) * R(T(T(x,y),T(z,y)) * K(y,x),u,w)) * v5 = (R(T(x,z),u,w) * K(x,y)) * v5. [para(5043(a,1),11909(a,1,1,2,1))]. given #10840 (H,wt=31): 11911 (K(x,y) * R(x * K(T(x,y),T(z,y)),u,w)) * v5 = (R(T(x,z),u,w) * K(x,y)) * v5. [para(5866(a,1),11910(a,1,1,2,1))]. given #10841 (H,wt=25): 11912 (R(T(x,y),z,u) * K(x,w)) * v5 = (K(x,w) * R(T(x,y),z,u)) * v5. [para(7861(a,1),11911(a,1,1,2,1)),flip(a)]. given #10842 (H,wt=25): 11913 (K(x,y) * R(T(x,z),u,w)) * v5 = R(T(x,z),u,w) * (K(x,y) * v5). [hyper(228,a,4033,a(flip),b,11912,a(flip))]. given #10843 (H,wt=41): 11915 (K(x,y) \ (R(T(x,z),u,w) * (K(x,y) * v5))) / (K(x,y) \ (R(T(x,z),u,w) * v5)) = R(K(x,y),R(T(x,z),u,w),v5). [para(11913(a,1),1236(a,2,1,2)),flip(a)]. given #10844 (H,wt=41): 11916 (K(x,y) * (R(T(y,z),u,w) * (K(y,x) * v5))) / (K(y,x) \ (R(T(y,z),u,w) * v5)) = R(K(y,x),R(T(y,z),u,w),v5). [para(5035(a,1),11915(a,1,1))]. given #10845 (H,wt=33): 11917 (R(T(x,y),z,u) * w) / (K(x,v5) \ (R(T(x,y),z,u) * w)) = R(K(x,v5),R(T(x,y),z,u),w). [para(10815(a,1),11916(a,1,1))]. given #10846 (H,wt=15): 11918 R(K(x,y),R(T(x,z),u,w),v5) = K(x,y). [hyper(293,a,11917,a)]. given #10847 (H,wt=13): 11921 R(K(x,y),R(x,z,u),w) = K(x,y). [para(112(a,1),11918(a,1,2,1))]. given #10848 (H,wt=21): 11922 K(x,(R(x,y,z) * u) / w) = K(x,R(x,y,z) / (w / u)). [hyper(228,a,6938,a(flip),b,11921,a(flip)),flip(a)]. given #10849 (H,wt=42): 10479 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(1102(a,1),10477(a,1,2,2,1))]. given #10850 (H,wt=36): 11923 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(228,a,7033,a(flip),b,10479,a(flip))]. given #10851 (H,wt=32): 11925 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(228,a,11528,a(flip),b,11923,a)]. given #10852 (H,wt=20): 11927 K(x,y \ L(L(x,z,x),u,w)) = K(x,y \ L(x,u,w)). [hyper(228,a,11752,a(flip),b,11925,a(flip))]. given #10853 (H,wt=29): 11929 K(x,(y \ 1) \ L(x,z,u)) * (y \ (T(y,x) * L(x,z,u))) = L(L(x,y,x),z,u). [para(11927(a,1),11225(a,1,1))]. given #10854 (H,wt=27): 11930 K(x,y * L(x,z,u)) * (y \ (T(y,x) * L(x,z,u))) = L(L(x,y,x),z,u). [para(5548(a,1),11929(a,1,1))]. given #10855 (H,wt=25): 11932 K(x,y * L(x,z,u)) * (K(y,x) * L(x,z,u)) = L(L(x,y,x),z,u). [para(4976(a,1),11930(a,1,2))]. given #10856 (H,wt=42): 11890 K(x,y) * (L(K(x,z),u,w) * (K(y,x) * L(L(K(x,z),u,w) \ 1,v5,v6))) = L(K(x,z) * L(K(x,z) \ 1,v5,v6),u,w). [hyper(228,a,2759,a(flip),b,11888,a)]. given #10857 (H,wt=40): 11933 K(x,y) * (L(K(x,z),u,w) * (K(y,x) * L(L(K(x,z),u,w) \ 1,v5,v6))) = L(K(x,z) * L(K(z,x),v5,v6),u,w). [para(4879(a,1),11890(a,2,1,2,1))]. given #10858 (H,wt=36): 11934 K(x,y) * (L(K(x,z),u,w) * (K(y,x) * L(L(K(x,z),u,w) \ 1,v5,v6))) = L(a(v6,v5,K(x,z)),u,w). [para(9676(a,1),11933(a,2,1))]. given #10859 (H,wt=34): 11935 K(x,y) * (L(K(x,z),u,w) * (K(y,x) * L(L(K(z,x),u,w),v5,v6))) = L(a(v6,v5,K(x,z)),u,w). [para(6239(a,1),11934(a,1,2,2,2,1))]. given #10860 (H,wt=26): 11936 L(K(x,y),z,u) * L(L(K(y,x),z,u),w,v5) = L(a(v5,w,K(x,y)),z,u). [hyper(11891,a,11935,a)]. given #10861 (H,wt=19): 11937 a(x,y,L(K(z,u),w,v5)) = L(a(x,y,K(z,u)),w,v5). [hyper(228,a,10826,a(flip),b,11936,a(flip)),flip(a)]. given #10862 (H,wt=19): 11938 a(x,y,K(z,L(u,w,v5))) = L(a(x,y,K(z,u)),w,v5). [para(11389(a,1),11937(a,1,3))]. given #10863 (H,wt=43): 8860 (x * R(R(x,K(y,z),K(z,u)) \ (x * K(y,z)),w,v5)) * K(z,u) = R(x,K(y,z),K(z,u)) * (R(K(y,z),w,v5) * K(z,u)). [para(8856(a,1),2287(a,1,1,1))]. given #10864 (H,wt=36): 11939 R(x,K(y,z),K(z,u)) * (R(K(y,z),w,v5) * K(z,u)) = (x * R(x \ (x * K(y,z)),w,v5)) * K(z,u). [para(8856(a,1),8860(a,1,1,2,1,1)),flip(a)]. given #10865 (H,wt=32): 11940 R(x,K(y,z),K(z,u)) * (R(K(y,z),w,v5) * K(z,u)) = (x * R(K(y,z),w,v5)) * K(z,u). [para(13(a,1),11939(a,2,1,2,1))]. given #10866 (H,wt=25): 11942 (x * R(K(y,z),u,w)) * K(z,v5) = x * (R(K(y,z),u,w) * K(z,v5)). [para(8856(a,1),11940(a,1,1)),flip(a)]. given #10867 (H,wt=25): 11943 (x * R(K(y,z),u,w)) * K(z,v5) = x * (K(z,v5) * R(K(y,z),u,w)). [para(1762(a,1),11942(a,2,2))]. given #10868 (H,wt=25): 11944 x / (K(y,z) * R(K(z,u),w,v5)) = x * (K(z,y) * R(K(u,z),w,v5)). [hyper(228,a,9637,a,b,11943,a(flip)),flip(a)]. given #10869 (H,wt=25): 11945 (x * (K(y,z) * R(K(z,u),w,v5))) * (K(z,y) * R(K(u,z),w,v5)) = x. [hyper(295,a,11944,a)]. given #10870 (H,wt=43): 9205 K(x * ((T(y,y \ 1) * z) \ (((y \ 1) \ 1) \ (T(y,y \ 1) * z))),y \ 1) = K(x * (z / (T(y,y \ 1) * z)),y \ 1). [para(612(a,1),8210(a,1,1,2,1)),flip(a)]. given #10871 (H,wt=40): 11946 K(x * ((T(y,y \ 1) * z) \ (((y \ 1) \ 1) \ (T(y,y \ 1) * z))),y \ 1) = K(x * R(y \ 1,y,z),y \ 1). [para(3311(a,1),9205(a,2,1,2))]. given #10872 (H,wt=28): 11947 K(x * ((T(y,y \ 1) * z) \ z),y \ 1) = K(x * R(y \ 1,y,z),y \ 1). [para(612(a,1),11946(a,1,1,2,2))]. given #10873 (H,wt=26): 11948 K(x * T((y * z) \ z,y),y \ 1) = K(x * R(y \ 1,y,z),y \ 1). [para(3323(a,1),11947(a,1,1,2))]. given #10874 (H,wt=24): 11949 K(x * R(y \ 1,y,z),y \ 1) = K(x * ((y * z) \ z),y \ 1). [hyper(228,a,5529,a(flip),b,11948,a(flip))]. given #10875 (H,wt=20): 11950 K(x * R(y \ 1,y,z),y \ 1) = K(y \ x,y \ 1). [hyper(228,a,11451,a(flip),b,11949,a)]. given #10876 (H,wt=22): 11952 T(K(x \ y,x \ 1) / x,y) = R(1 / x,y,z / (x * z)). [para(11950(a,1),9975(a,1,1,1))]. given #10877 (H,wt=19): 11953 R(1 / x,y,z / (x * z)) = R(1 / x,y,x \ 1). [hyper(228,a,6515,a(flip),b,11952,a(flip))]. given #10878 (H,wt=23): 11955 R(1 / (x / y),z,(x / y) \ 1) = R(1 / (x / y),z,y / x). [para(16(a,1),11953(a,1,3,2)),flip(a)]. given #10879 (H,wt=31): 11956 T(a(1 / (x / y),z,1 / (x / y)),u) = (1 / (x / y)) \ R(1 / (x / y),z,y / x). [para(11955(a,1),9791(a,2,2))]. given #10880 (H,wt=29): 11957 T(a(1 / (x / y),z,1 / (x / y)),u) = (x / y) * R((x / y) \ 1,z,y / x). [hyper(228,a,1136,a(flip),b,11956,a)]. given #10881 (H,wt=27): 11958 T(a(1 / (x / y),z,1 / (x / y)),u) = (x * R(x \ y,z,y / x)) / y. [hyper(228,a,1581,a(flip),b,11957,a)]. given #10882 (H,wt=27): 11959 T(a(1 / (x / y),z,1 / (x / y)),u) = (x * R(x \ y,z,x \ y)) / y. [para(9504(a,1),11958(a,2,1,2))]. given #10883 (H,wt=23): 11960 T(a(1 / (x / y),z,1 / (x / y)),u) = a(x \ y,z,x \ y). [hyper(228,a,9814,a(flip),b,11959,a)]. given #10884 (H,wt=23): 11961 T(a(1 / (x / y),z,(x / y) \ 1),u) = a(x \ y,z,x \ y). [para(10850(a,1),11960(a,1,1))]. given #10885 (H,wt=21): 11962 a((x / y) \ 1,z,(x / y) \ 1) = a(x \ y,z,x \ y). [hyper(228,a,10352,a(flip),b,11961,a(flip)),flip(a)]. given #10886 (H,wt=24): 11963 K((x \ y) \ z,x / y) * K(x / y,z) = a(y \ x,z,y \ x). [hyper(228,a,11270,a,b,11962,a(flip)),flip(a)]. given #10887 (H,wt=21): 11964 a((x \ y) \ 1,z,(x \ y) \ 1) = a(y \ x,z,y \ x). [hyper(228,a,11812,a(flip),b,11963,a(flip)),flip(a)]. given #10888 (H,wt=43): 11228 (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(6500(a,1),11226(a,1,1,2,1,2))]. given #10889 (H,wt=33): 11965 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(4395(a,1),11228(a,1,1))]. given #10890 (H,wt=23): 11967 K(x,x \ 1) \ ((1 / x) * (L(x,y,z) \ x)) = L(x,y,z) \ 1. [para(6500(a,1),11965(a,1,2,1,2))]. given #10891 (H,wt=17): 11968 (x \ 1) * (L(x,y,z) \ x) = L(x,y,z) \ 1. [hyper(5945,a,11967,a)]. given #10892 (H,wt=17): 11969 (x \ 1) \ (L(x,y,z) \ 1) = L(x,y,z) \ x. [hyper(71,a,11967,a(flip),b,5926,a(flip))]. given #10893 (H,wt=21): 11970 (x \ L(y,z,u)) \ (x \ 1) = (y \ 1) * (L(y,z,u) \ y). [hyper(228,a,249,a,b,11968,a),flip(a)]. given #10894 (H,wt=15): 11972 (x \ L(x,y,z)) \ 1 = L(x,y,z) \ x. [hyper(2179,a,11970,a)]. given #10895 (H,wt=27): 11971 (x \ (L(x \ 1,y,z) \ 1)) * K(x \ 1,x) = L(x \ 1,y,z) \ (x \ 1). [hyper(3046,a,11969,a)]. given #10896 (H,wt=28): 11973 L(x \ (y \ z),x,y) \ (x \ (y \ z)) = ((x \ (y \ z)) \ ((y * x) \ z)) \ 1. [para(222(a,1),11972(a,1,1,2)),flip(a)]. given #10897 (H,wt=25): 11976 ((x \ (y \ z)) \ ((y * x) \ z)) \ 1 = ((y * x) \ z) \ (x \ (y \ z)). [para(222(a,1),11973(a,1,1)),flip(a)]. given #10898 (H,wt=20): 11977 ((x * y) \ z) \ (y \ (x \ z)) = a(1 / z,x,y) \ 1. [para(6765(a,1),11976(a,1,1)),flip(a)]. given #10899 (H,wt=38): 11975 (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(11971(a,1),3506(a,2,1)),flip(a)]. given #10900 (H,wt=36): 11978 (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(4316(a,1),11975(a,1,2))]. given #10901 (H,wt=32): 11979 (L(x \ 1,y,z) \ (x \ 1)) \ (L(1 / x,y,z) \ 1) = T(x,x \ (L(x \ 1,y,z) \ 1)). [para(4604(a,1),11978(a,1,2))]. given #10902 (H,wt=14): 11980 T(x,x \ (L(x \ 1,y,z) \ 1)) = x. [hyper(228,a,4607,a(flip),b,11979,a(flip))]. given #10903 (H,wt=13): 11982 T(x,x \ (((y * x) \ y) \ 1)) = x. [para(161(a,1),11980(a,1,2,2,1))]. given #10904 (H,wt=19): 11983 (1 / ((x * y) \ x)) / y = y \ (1 / ((x * y) \ x)). [para(11982(a,1),3704(a,1,2))]. given #10905 (H,wt=19): 11984 (x * ((y * x) \ y)) \ 1 = x \ (1 / ((y * x) \ y)). [hyper(10208,a,11983,a)]. given #10906 (H,wt=25): 11986 (x \ (1 / ((y * x) \ y))) * T(x,z) = (x * ((y * x) \ y)) \ T(x,z). [para(11984(a,1),11884(a,1,1))]. given #10907 (H,wt=27): 11985 T((1 / ((x * y) \ x)) * K(y,z),y) = (y \ (1 / ((x * y) \ x))) * T(y,z). [para(11983(a,1),8221(a,2,1))]. given #10908 (H,wt=25): 11987 T((1 / ((x * y) \ x)) * K(y,z),y) = (y * ((x * y) \ x)) \ T(y,z). [hyper(228,a,11986,a(flip),b,11985,a)]. given #10909 (H,wt=23): 11988 T(T(1 / ((x * y) \ x),z),y) = (y * ((x * y) \ x)) \ T(y,z). [para(5627(a,1),11987(a,1,1))]. given #10910 (H,wt=21): 11989 (x * ((y * x) \ y)) \ T(x,z) = T(1 / ((y * x) \ y),z). [hyper(228,a,6419,a(flip),b,11988,a(flip))]. given #10911 (H,wt=19): 11990 1 / ((x * T(y,z)) \ x) = T(1 / ((x * y) \ x),z). [hyper(228,a,10206,a(flip),b,11989,a(flip)),flip(a)]. given #10912 (H,wt=19): 11991 T(1 / ((x * y) \ x),z) \ 1 = (x * T(y,z)) \ x. [para(11990(a,1),64(a,1,1))]. given #10913 (H,wt=19): 11992 ((x * T(y,z)) \ x) \ 1 = T(((x * y) \ x) \ 1,z). [para(11991(a,1),2322(a,1,1))]. given #10914 (H,wt=27): 11993 K(x,T(((y * z) \ y) \ 1,u) \ x) = K(x,1 \ (((y * T(z,u)) \ y) * x)). [para(11992(a,1),6303(a,1,2,1))]. given #10915 (H,wt=25): 11994 K(x,1 \ (((y * T(z,u)) \ y) * x)) = K(x,T(((y * z) \ y) * x,u)). [hyper(228,a,7685,a(flip),b,11993,a(flip))]. given #10916 (H,wt=23): 11995 K(x,T(((y * z) \ y) * x,u)) = K(x,((y * T(z,u)) \ y) * x). [para(51(a,1),11994(a,1,2)),flip(a)]. given #10917 (H,wt=23): 11996 K(x,T(((y * z) \ y) * x,u)) = K(x,x * ((y * T(z,u)) \ y)). [hyper(228,a,5433,a(flip),b,11995,a)]. given #10918 (H,wt=19): 11997 K(x,T(((y * z) \ y) * x,u)) = K(x,T(z,u) \ x). [hyper(228,a,10717,a(flip),b,11996,a)]. given #10919 (H,wt=19): 11999 K(x,T(((y * z) \ y) * x,u)) = K(x,T(z \ x,u)). [hyper(228,a,7683,a(flip),b,11997,a)]. given #10920 (H,wt=19): 12000 K(x,T((y \ z) \ x,u)) = K(x,T((z \ y) * x,u)). [para(14(a,1),11999(a,1,2,1,1,1)),flip(a)]. given #10921 (H,wt=17): 12001 K(x,T((y \ z) * x,z)) = K(x,(y / z) \ x). [hyper(9089,a,12000,a),flip(a)]. given #10922 (H,wt=17): 12002 K(x,T(x * (y \ z),z)) = K(x,(y / z) \ x). [hyper(11049,a,12001,a)]. given #10923 (H,wt=17): 12003 K(x,T((y \ z) * x,y)) = K(x,(y / z) \ x). [hyper(228,a,9465,a(flip),b,12001,a(flip)),flip(a)]. given #10924 (H,wt=17): 12005 K(x,(y / (y * z)) \ x) = K(x,T(z * x,y)). [para(13(a,1),12003(a,1,2,1,1)),flip(a)]. given #10925 (H,wt=19): 12004 K(x,((y \ z) / z) \ x) = K(x,T(x * T(y,z),z)). [hyper(228,a,11525,a(flip),b,12002,a(flip))]. given #10926 (H,wt=23): 12006 K(T(x,y),T(z * T(x,y),u)) = K(x,T((u / (u * z)) \ x,y)). [hyper(8973,a,12005,a),flip(a)]. given #10927 (H,wt=23): 12008 K(x,T(T(y * T(x,z),u),z)) = K(x,T((u / (u * y)) \ x,z)). [hyper(7637,a,12006,a)]. given #10928 (H,wt=21): 12009 K(x,T((y / (y * z)) \ x,u)) = K(x,T(T(x * z,y),u)). [hyper(228,a,10345,a(flip),b,12008,a(flip))]. given #10929 (H,wt=23): 12011 K(x,T((y / (z * y)) \ x,u)) = K(x,T(T(x * T(z,y),y),u)). [para(113(a,1),12009(a,1,2,1,1,2))]. given #10930 (H,wt=26): 12012 K(x,T(T(x * T(y,z),z),y)) = K(x,R(1 / (1 / (1 / y)),y,z) \ x). [hyper(228,a,9092,a(flip),b,12011,a(flip))]. given #10931 (H,wt=24): 12013 K(x,T(x * T(y,z),z)) = K(x,R(1 / (1 / (1 / y)),y,z) \ x). [hyper(10340,a,12012,a)]. given #10932 (H,wt=24): 12014 K(x,T(x * T(y,z),z)) = K(x,R((1 / (1 / y)) \ 1,y,z) \ x). [hyper(228,a,5578,a(flip),b,12013,a)]. given #10933 (H,wt=20): 12015 K(x,T(x * T(y,z),z)) = K(x,R(1 / y,y,z) \ x). [para(64(a,1),12014(a,2,2,1,1))]. given #10934 (H,wt=18): 12016 R(K(x,x * y),y,z) = K(x,T(x * T(y,z),z)). [hyper(228,a,11768,a(flip),b,12015,a),flip(a)]. given #10935 (H,wt=26): 12018 R(R(K(x,x * y),y,z),x * u,w) = K(R(x,u,w),T(x * T(y,z),z)). [para(12016(a,2),6734(a,1,1))]. given #10936 (H,wt=24): 12019 R(K(R(x,y,z),x * u),u,w) = K(R(x,y,z),T(x * T(u,w),w)). [hyper(228,a,6740,a(flip),b,12018,a(flip)),flip(a)]. given #10937 (H,wt=27): 12007 R(K(x,T(x * T(y,z),z)),x * u,w) = K(R(x,u,w),((y \ z) / z) \ x). [para(12004(a,1),6734(a,1,1))]. given #10938 (H,wt=25): 12020 K(R(x,y,z),((u \ w) / w) \ x) = K(R(x,y,z),T(x * T(u,w),w)). [hyper(228,a,6734,a(flip),b,12007,a(flip))]. given #10939 (H,wt=44): 6478 K((x * (y * z)) \ ((x * y) * z),a(x,y,z) \ 1) / (((x * y) * z) \ (x * (y * z))) = (((x * y) * z) \ (x * (y * z))) \ 1. [para(5564(a,1),2788(a,1,1))]. given #10940 (H,wt=37): 12021 K(a(x,y,z),a(x,y,z) \ 1) / (((x * y) * z) \ (x * (y * z))) = (((x * y) * z) \ (x * (y * z))) \ 1. [para(24(a,2),6478(a,1,1,1))]. given #10941 (H,wt=44): 6568 K((R(x,y,z) \ (R(x,y,z) * (x \ u))) \ u,w \ (R(x,y,z) * u)) = K(T(x,R(x,y,z) * (x \ u)),(R(x,y,z) \ w) \ u). [para(1226(a,1),6337(a,2,1))]. given #10942 (H,wt=34): 12022 K(T(x,R(x,y,z) * (x \ u)),(R(x,y,z) \ w) \ u) = K((x \ u) \ u,w \ (R(x,y,z) * u)). [para(13(a,1),6568(a,1,1,1)),flip(a)]. given #10943 (H,wt=32): 12023 K(T(x,R(x,y,z) * (x \ u)),(R(x,y,z) \ w) \ u) = K(x,T(w \ (R(x,y,z) * u),u)). [hyper(228,a,7166,a(flip),b,12022,a)]. given #10944 (H,wt=30): 12025 K(T(x,R(x,y,z) * (x \ u)),(R(x,y,z) \ w) \ u) = K(x,(R(x,y,z) * u) / w). [hyper(228,a,9101,a(flip),b,12023,a)]. given #10945 (H,wt=30): 12026 K(x,T((R(x,y,z) \ u) \ w,R(x,y,z) * (x \ w))) = K(x,(R(x,y,z) * w) / u). [hyper(7637,a,12025,a)]. given #10946 (H,wt=28): 12027 K(x,T((R(x,y,z) \ u) \ w,R(x,y,z) * w)) = K(x,(R(x,y,z) * w) / u). [hyper(228,a,9131,a(flip),b,12026,a(flip)),flip(a)]. given #10947 (H,wt=23): 12028 K(x,T((R(x,y,z) \ u) \ w,w)) = K(x,(R(x,y,z) * w) / u). [hyper(9107,a,12027,a)]. given #10948 (H,wt=21): 12029 K(x,(R(x,y,z) * u) / w) = K(x,u / (R(x,y,z) \ w)). [hyper(8176,a,12028,a),flip(a)]. given #10949 (H,wt=21): 12031 K(x,R(x,y,z) / (u / w)) = K(x,w / (R(x,y,z) \ u)). [hyper(228,a,11922,a(flip),b,12029,a(flip)),flip(a)]. given #10950 (H,wt=21): 12032 K(x,y / (R(x,z,u) \ w)) = K(x,(w / y) \ R(x,z,u)). [hyper(7644,a,12031,a),flip(a)]. given #10951 (H,wt=21): 12033 K(x,(y * R(x,z,u)) / w) = K(x,(w / y) \ R(x,z,u)). [hyper(228,a,8979,a,b,12032,a(flip)),flip(a)]. given #10952 (H,wt=31): 12034 K(R(x,K(y * z,x) * y,z),u \ x) = K(x,(((u * y) * z) / (y * z)) \ R(x,y,z)). [hyper(228,a,11299,a,b,12033,a(flip)),flip(a)]. given #10953 (H,wt=26): 12035 K(R(x,K(y * z,x) * y,z),u \ x) = K(x,R(u,y,z) \ R(x,y,z)). [para(30(a,2),12034(a,2,2,1))]. given #10954 (H,wt=20): 12036 K(x,R(y,z,u) \ R(x,z,u)) = K(R(x,z,u),y \ x). [hyper(228,a,9193,a(flip),b,12035,a(flip))]. given #10955 (H,wt=44): 9725 K(R(K(x,y) \ R(K(x,y),z,u),K(x,y),z * u),((z * u) \ K(y,x)) \ 1) = K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1). [para(5053(a,1),9653(a,2,2))]. given #10956 (H,wt=44): 12038 K(R(K(x,y) * R(K(y,x),z,u),K(y,x),z * u),((z * u) \ K(x,y)) \ 1) = K(a(K(y,x),z,u),((z * u) \ K(x,y)) \ 1). [para(5035(a,1),9725(a,1,1,1))]. given #10957 (H,wt=37): 12039 K(K(x,y) * R(K(y,x),z,u),((z * u) \ K(x,y)) \ 1) = K(a(K(y,x),z,u),((z * u) \ K(x,y)) \ 1). [para(10924(a,1),12038(a,1,1))]. given #10958 (H,wt=35): 12040 K(K(x,y) * R(K(y,x),z,u),K(y,x) * (z * u)) = K(a(K(y,x),z,u),((z * u) \ K(x,y)) \ 1). [hyper(6178,a,12039,a)]. given #10959 (H,wt=35): 12042 K(K(x,y) * K(y,R(x,z,u)),K(y,x) * (z * u)) = K(a(K(y,x),z,u),((z * u) \ K(x,y)) \ 1). [hyper(228,a,11666,a(flip),b,12040,a(flip)),flip(a)]. given #10960 (H,wt=31): 12043 K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1) = K(z * u,K(x,R(y,z,u)) * K(y,x)). [hyper(228,a,11641,a(flip),b,12042,a(flip))]. given #10961 (H,wt=31): 12044 K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1) = K(z * u,K(x,y) * K(y,R(x,z,u))). [hyper(228,a,11649,a(flip),b,12043,a)]. given #10962 (H,wt=18): 12045 K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1) = 1. [hyper(228,a,11645,a(flip),b,12044,a)]. given #10963 (H,wt=16): 12046 K(a(K(x,y),z,u),K(x,y) * (z * u)) = 1. [hyper(6178,a,12045,a)]. given #10964 (H,wt=24): 12048 1 * (((K(x,y) * z) * u) / (K(x,y) * (z * u))) = a(K(x,y),z,u). [para(12046(a,1),4813(a,1,1))]. given #10965 (H,wt=19): 12049 1 * (K(x,y) * R(K(y,x),z,u)) = a(K(y,x),z,u). [para(10925(a,1),12048(a,1,2))]. given #10966 (H,wt=17): 12050 K(x,y) * R(K(y,x),z,u) = a(K(y,x),z,u). [hyper(74,a,12049,a)]. given #10967 (H,wt=17): 12052 K(x,y) * a(K(x,y),z,u) = R(K(x,y),z,u). [hyper(5071,a,12050,a)]. given #10968 (H,wt=17): 12053 R(K(x,y),z,u) * K(y,x) = a(K(x,y),z,u). [hyper(1768,a,12050,a)]. given #10969 (H,wt=19): 12055 K(x,y) * K(y,R(x,z,u)) = a(K(y,x),z * x,u). [para(9182(a,1),12050(a,1,2))]. given #10970 (H,wt=21): 12056 K(x,y) * (R(K(y,x),z,u) * w) = a(K(y,x),z,u) * w. [para(12050(a,1),9956(a,1,1)),flip(a)]. given #10971 (H,wt=21): 12057 T(x,K(y,R(z,u,w)) * K(z,y)) = T(x,a(K(z,y),u,w)). [para(12050(a,1),11652(a,2,2))]. given #10972 (H,wt=21): 12058 K(K(x,y) * K(y,R(x,z,u)),w) = K(a(K(y,x),z,u),w). [para(12050(a,1),11666(a,1,1)),flip(a)]. given #10973 (H,wt=21): 12059 (x * a(K(y,z),u,w)) * (K(y,z) * R(K(z,y),u,w)) = x. [para(12050(a,1),11945(a,1,1,2))]. given #10974 (H,wt=17): 12066 (x * a(K(y,z),u,w)) * a(K(z,y),u,w) = x. [para(12050(a,1),12059(a,1,2))]. given #10975 (H,wt=21): 12062 K(x,y) * (a(K(x,y),z,u) * w) = R(K(x,y),z,u) * w. [hyper(5071,a,12056,a)]. given #10976 (H,wt=21): 12065 K(x,K(y,z) * K(R(z,u,w),y)) = K(a(K(y,z),u,w),x). [hyper(228,a,11620,a(flip),b,12058,a(flip)),flip(a)]. given #10977 (H,wt=23): 12054 K(x \ 1,y) * K(y,R(x,z,u) \ 1) = a(K(y,x \ 1),z,u). [para(6902(a,1),12050(a,1,2))]. given #10978 (H,wt=23): 12061 R(K(x,T(y,z)),u,w) * (z * K(y,x)) = z * a(K(x,y),u,w). [para(12053(a,1),9743(a,2,2))]. given #10979 (H,wt=25): 12051 1 * (K(x,K(y,z)) * R(K(x,K(y,z)),u,w)) = a(K(x,K(y,z)),u,w). [para(7740(a,1),12049(a,1,2,1))]. given #10980 (H,wt=25): 12067 (T(x,x \ y) * a(K(z,u),w,v5)) \ ((x \ y) \ y) = a(K(u,z),w,v5). [hyper(71,a,114,a(flip),b,12066,a)]. given #10981 (H,wt=25): 12070 1 * (K(x,K(y,z)) * K(y,K(z,R(x,u,w)))) = a(K(x,K(y,z)),u,w). [para(8988(a,1),12051(a,1,2,2))]. given #10982 (H,wt=23): 12071 1 * K(x,K(y,z) * K(R(z,u,w),y)) = a(K(z,K(y,x)),u,w). [para(11657(a,1),12070(a,1,2))]. given #10983 (H,wt=26): 12068 K(x,x * y) * (a(K(x,y),z,u) * x) = R(K(x,y),z,u) * L(x,y,x). [hyper(228,a,9765,a(flip),b,12062,a(flip)),flip(a)]. given #10984 (H,wt=26): 12072 K(x,x * y) * (x * a(K(x,y),z,u)) = R(K(x,y),z,u) * L(x,y,x). [para(9074(a,1),12068(a,1,2))]. given #10985 (H,wt=24): 12073 T(x,x * y) * a(K(x,y),z,u) = R(K(x,y),z,u) * L(x,y,x). [hyper(5095,a,12072,a)]. given #10986 (H,wt=24): 12074 T(x,x * y) * a(K(x,y),z,u) = L(x * R(K(x,y),z,u),y,x). [hyper(228,a,9735,a,b,12073,a)]. given #10987 (H,wt=33): 12060 (a(K(x,T(y,z)),u,w) * K(x,y)) * (K(y,x) * z) = R(K(x,T(y,z)),u,w) * (z * K(y,x)). [para(12052(a,1),10219(a,1,1)),flip(a)]. given #10988 (H,wt=27): 12075 (a(K(x,T(y,z)),u,w) * K(x,y)) * (K(y,x) * z) = z * a(K(x,y),u,w). [hyper(228,a,12061,a(flip),b,12060,a)]. given #10989 (H,wt=34): 12069 R(K(a(K(x,y),z,u),w),K(K(x,w),v5),v6) * v7 = K(y,K(x,w)) * (R(K(K(x,w),y),z,u) * v7). [para(12065(a,1),11872(a,1,1,1))]. given #10990 (H,wt=27): 12076 K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * v5) = K(a(K(y,x),u,w),z) * v5. [para(344(a,1),12069(a,1,1)),flip(a)]. given #10991 (H,wt=27): 12077 K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * y) = y * K(a(K(y,x),u,w),z). [hyper(228,a,9076,a(flip),b,12076,a)]. given #10992 (H,wt=27): 12078 K(x,K(y,z)) * (R(K(y,K(z,x)),u,w) * y) = y * K(a(K(y,x),u,w),z). [para(7693(a,1),12077(a,1,2,1,1))]. given #10993 (H,wt=27): 12079 K(x,K(y,z)) * (K(y,K(z,R(x,u,w))) * y) = y * K(a(K(y,x),u,w),z). [para(8987(a,1),12078(a,1,2,1))]. given #10994 (H,wt=25): 12080 K(x,K(y,z)) * T(y,K(z,R(x,u,w))) = y * K(a(K(y,x),u,w),z). [para(4712(a,2),12079(a,1,2))]. given #10995 (H,wt=25): 12081 T(K(x,K(y,z)) * y,K(x,R(z,u,w))) = y * K(a(K(y,x),u,w),z). [hyper(228,a,9311,a,b,12080,a(flip)),flip(a)]. given #10996 (H,wt=23): 12082 T(T(x,K(y,z)),K(y,R(z,u,w))) = x * K(a(K(x,y),u,w),z). [para(7730(a,1),12081(a,1,1))]. given #10997 (H,wt=23): 12083 T(x,K(y,R(z,u,w)) * K(z,y)) = x * K(a(K(x,y),u,w),z). [hyper(11627,a,12082,a)]. given #10998 (H,wt=19): 12084 x * K(a(K(x,y),z,u),w) = T(x,a(K(w,y),z,u)). [hyper(228,a,12057,a(flip),b,12083,a(flip))]. given #10999 (H,wt=17): 12085 K(a(K(x,y),z,u),w) = K(x,a(K(w,y),z,u)). [hyper(17,a,4705,a(flip),b,12084,a)]. given #11000 (H,wt=21): 12086 K(x,K(y,z) * K(R(z,u,w),y)) = K(y,a(K(x,z),u,w)). [hyper(228,a,12065,a,b,12085,a(flip)),flip(a)]. given #11001 (H,wt=19): 12087 1 * K(x,a(K(y,z),u,w)) = a(K(z,K(x,y)),u,w). [para(12086(a,1),12071(a,1,2))]. given #11002 (H,wt=17): 12088 a(K(x,K(y,z)),u,w) = K(y,a(K(z,x),u,w)). [hyper(74,a,12087,a),flip(a)]. given #11003 (H,wt=17): 12089 a(K(x,K(y,z)),u,w) = K(a(K(y,x),u,w),z). [hyper(228,a,12085,a,b,12088,a)]. given #11004 (H,wt=17): 12090 a(K(x,K(y,z)),u,w) = K(x,a(K(z,y),u,w)). [para(7723(a,1),12088(a,1,1))]. given #11005 (H,wt=17): 12091 a(K(x,K(y,z)),u,w) = K(a(K(x,y),u,w),z). [para(7723(a,1),12089(a,1,1))]. given #11006 (H,wt=45): 6636 (x / ((y * z) / y)) \ T(x / z,1 / (x / ((y * z) / y))) = ((1 / (x / ((y * z) / y))) \ K(y,z)) * (1 / (x / ((y * z) / y))). [para(6633(a,1),3116(a,1,2,1))]. given #11007 (H,wt=35): 12092 (x / ((y * z) / y)) \ T(x / z,1 / (x / ((y * z) / y))) = (x / z) * (1 / (x / ((y * z) / y))). [para(6634(a,1),6636(a,2,1))]. given #11008 (H,wt=31): 12093 (1 / ((x * y) / x)) \ T(1 / y,(x * y) / x) = (1 / y) * (1 / (1 / ((x * y) / x))). [para(3101(a,1),12092(a,1,2))]. given #11009 (H,wt=25): 12095 (1 / x) * (1 / (1 / ((y * x) / y))) = (1 / ((y * x) / y)) \ (x \ 1). [para(5121(a,1),12093(a,1,2)),flip(a)]. given #11010 (H,wt=21): 12096 (1 / x) * (1 / (1 / ((y * x) / y))) = (T(x,y) \ 1) * x. [hyper(228,a,11290,a(flip),b,12095,a)]. given #11011 (H,wt=45): 9146 (((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z)) * K((K(x,y) / x) * (x * z),u) = T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),u). [para(7141(a,1),5651(a,1,2,1))]. given #11012 (H,wt=45): 12098 (((x \ 1) \ K(y,x)) \ (T(x,x \ 1) * z)) * K((K(x,y) / x) * (x * z),u) = T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),u). [para(5127(a,1),9146(a,1,1,1))]. given #11013 (H,wt=46): 5327 R(x * T(x \ 1,y),z,u) * R(R(x * T(x \ 1,y),z,u) \ 1,w,v5) = R((x * T(x \ 1,y)) * R(K(y,x \ 1),w,v5),z,u). [para(4648(a,1),2753(a,2,1,2,1))]. given #11014 (H,wt=44): 12099 K(R(x,y,z) \ 1,u) * R(R(x * T(x \ 1,u),y,z) \ 1,w,v5) = R((x * T(x \ 1,u)) * R(K(u,x \ 1),w,v5),y,z). [para(4949(a,1),5327(a,1,1))]. given #11015 (H,wt=42): 12100 R((x * T(x \ 1,y)) * R(K(y,x \ 1),z,u),w,v5) = K(R(x,w,v5) \ 1,y) * R(K(R(x,w,v5) \ 1,y) \ 1,z,u). [para(4949(a,1),12099(a,1,2,1,1)),flip(a)]. given #11016 (H,wt=40): 12101 R((x * T(x \ 1,y)) * R(K(y,x \ 1),z,u),w,v5) = K(R(x,w,v5) \ 1,y) * R(K(y,R(x,w,v5) \ 1),z,u). [para(4879(a,1),12100(a,2,2,1))]. given #11017 (H,wt=40): 12102 R((x * T(x \ 1,y)) * R(K(y,x \ 1),z,u),w,v5) = K(R(x,w,v5) \ 1,y) * K(y,R(R(x,w,v5),z,u) \ 1). [para(6902(a,1),12101(a,2,2))]. given #11018 (H,wt=38): 12103 K(R(x,y,z) \ 1,u) * K(u,R(R(x,y,z),w,v5) \ 1) = R(K(x \ 1,u) * R(K(u,x \ 1),w,v5),y,z). [para(4650(a,1),12102(a,1,1,1)),flip(a)]. given #11019 (H,wt=38): 12104 K(R(x,y,z) \ 1,u) * K(u,R(R(x,y,z),w,v5) \ 1) = R(K(x \ 1,u) * K(u,R(x,w,v5) \ 1),y,z). [para(6902(a,1),12103(a,2,1,2))]. given #11020 (H,wt=29): 12105 R(K(x \ 1,y) * K(y,R(x,z,u) \ 1),w,v5) = a(K(y,R(x,w,v5) \ 1),z,u). [hyper(228,a,12054,a(flip),b,12104,a(flip))]. given #11021 (H,wt=46): 9061 x * (y * K(L(z \ u,z,w),T(((w * u) / (w * z)) \ 1,w * z))) = (x * K((w * u) / (w * z),((w * u) / (w * z)) \ 1)) * y. [para(7901(a,2),4407(a,2,2,2)),flip(a)]. given #11022 (H,wt=44): 12106 x * (y * K(L(z \ u,z,w),T(((w * u) / (w * z)) \ 1,w * z))) = (x * K((w * z) \ (w * u),(w * u) \ (w * z))) * y. [para(3298(a,1),9061(a,2,1,2))]. given #11023 (H,wt=44): 12107 x * (y * K(L(z \ u,z,w),T(((w * u) / (w * z)) \ 1,w * z))) = (x * K(z \ (w \ (w * u)),(w \ (w * u)) \ z)) * y. [para(10094(a,1),12106(a,2,1,2))]. given #11024 (H,wt=40): 12108 x * (y * K(L(z \ u,z,w),T(((w * u) / (w * z)) \ 1,w * z))) = (x * K(z \ u,(w \ (w * u)) \ z)) * y. [para(13(a,1),12107(a,2,1,2,1,2))]. given #11025 (H,wt=36): 12109 x * (y * K(L(z \ u,z,w),T(((w * u) / (w * z)) \ 1,w * z))) = (x * K(z \ u,u \ z)) * y. [para(13(a,1),12108(a,2,1,2,2,1))]. given #11026 (H,wt=28): 12110 K(L(x \ y,x,z),T(((z * y) / (z * x)) \ 1,z * x)) = K(x \ y,y \ x). [hyper(8696,a,12109,a)]. given #11027 (H,wt=23): 12111 (x * K(y \ z,z \ y)) * u = x * (u * K(y \ z,z \ y)). [para(12110(a,1),12109(a,1,2,2)),flip(a)]. given #11028 (H,wt=33): 12112 K((1 / x) \ (y \ z),1 / (x * T(y \ z,z \ y))) = x * ((1 / x) * K(y \ z,z \ y)). [hyper(228,a,11298,a,b,12111,a(flip)),flip(a)]. given #11029 (H,wt=31): 12113 K((1 / x) \ (y \ z),1 / (x * T(y \ z,z \ y))) = K(y \ (z * x),(z * x) \ y). [hyper(228,a,6879,a(flip),b,12112,a)]. given #11030 (H,wt=27): 12114 K((1 / x) \ (y \ z),(y \ z) \ (1 / x)) = K(y \ (z * x),(z * x) \ y). [para(5684(a,1),12113(a,1,2))]. given #11031 (H,wt=27): 12115 K((1 / x) \ (y \ z),(y \ z) \ (x \ 1)) = K(y \ (z * x),(z * x) \ y). [hyper(228,a,5388,a(flip),b,12114,a(flip)),flip(a)]. given #11032 (H,wt=25): 12116 K(x * (y \ z),(y \ z) \ (x \ 1)) = K(y \ (z * x),(z * x) \ y). [hyper(228,a,5634,a(flip),b,12115,a(flip)),flip(a)]. given #11033 (H,wt=25): 12117 K((x / y) * z,z \ (y * (x \ 1))) = K(y \ (z * x),(z * x) \ y). [hyper(228,a,10098,a,b,12116,a(flip)),flip(a)]. given #11034 (H,wt=29): 12118 (x \ ((y / z) * u)) * (1 / ((y / z) * u)) = x \ K(z \ (u * y),(u * y) \ z). [para(12117(a,1),4541(a,1,2)),flip(a)]. given #11035 (H,wt=46): 11469 K(T(x * y,K(z,u)),T(x * y,K(z,u)) \ (x * (y * K(z,u)))) = T(x * y,K(z,u)) / ((x * (y * K(z,u))) / L(K(z,u),y,x)). [para(11467(a,1),4870(a,1,2,2)),flip(a)]. given #11036 (H,wt=35): 12119 K(T(x * y,K(z,u)),T(x * y,K(z,u)) \ (x * (y * K(z,u)))) = T(x * y,K(z,u)) / (x * y). [para(136(a,1),11469(a,2,2))]. given #11037 (H,wt=31): 12120 K(T(x * y,K(z,u)),T(x * y,K(z,u)) \ (x * (y * K(z,u)))) = K(x * y,K(z,u)). [hyper(228,a,4696,a,b,12119,a)]. given #11038 (H,wt=31): 12122 K(T(x * y,K(z,u)),T(x * y,K(z,u)) \ (x * (y * K(z,u)))) = K(z,K(u,x * y)). [hyper(228,a,7728,a,b,12120,a)]. given #11039 (H,wt=26): 12123 K(T(x * y,K(z,u)),L(K(z,T(u,x * y)),y,x)) = K(z,K(u,x * y)). [para(11512(a,1),12122(a,1,2))]. given #11040 (H,wt=26): 12124 K(T(x * y,K(z,u)),K(z,L(T(u,x * y),y,x))) = K(z,K(u,x * y)). [hyper(8685,a,12123,a)]. given #11041 (H,wt=26): 12125 K(x,K(T(y * z,K(x,u)),L(T(u,y * z),z,y))) = K(x,K(u,y * z)). [hyper(7725,a,12124,a)]. given #11042 (H,wt=22): 12126 K(x,K(y * z,L(T(u,y * z),z,y))) = K(x,K(u,y * z)). [hyper(228,a,7207,a(flip),b,12125,a(flip)),flip(a)]. given #11043 (H,wt=18): 12128 K(x,K(y * z,L(u,z,y))) = K(x,K(u,y * z)). [para(4873(a,1),12126(a,1,2))]. given #11044 (H,wt=47): 8777 (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(8771(a,1),3954(a,1,1)),flip(a)]. given #11045 (H,wt=47): 10017 (a(x,y,L(x,z,u)) * K(L(x,y,L(x,z,u)),w)) \ (x * K(L(x,y,L(x,z,u)),w)) = T(L(x,y,L(x,z,u)),L(x,y,L(x,z,u)) \ x). [para(10016(a,1),6727(a,1,1,1))]. given #11046 (H,wt=41): 12130 (a(x,y,L(x,z,u)) * K(x,w)) \ (x * K(L(x,y,L(x,z,u)),w)) = T(L(x,y,L(x,z,u)),L(x,y,L(x,z,u)) \ x). [para(8694(a,1),10017(a,1,1,2))]. given #11047 (H,wt=33): 12132 T(L(x,y,L(x,z,u)),L(x,y,L(x,z,u)) \ x) = (a(x,y,L(x,z,u)) * K(x,w)) \ T(x,w). [para(8695(a,1),12130(a,1,2)),flip(a)]. given #11048 (H,wt=23): 12133 (a(x,y,L(x,z,u)) * K(x,w)) \ T(x,w) = L(x,y,L(x,z,u)). [hyper(228,a,6504,a(flip),b,12132,a(flip))]. given #11049 (H,wt=20): 12135 L(x,y,L(x,z,u)) = (a(x,y,x) * K(x,w)) \ T(x,w). [para(11347(a,1),12133(a,1,1,1)),flip(a)]. given #11050 (H,wt=47): 11560 K((x * (K(y,x) / T(x,z))) \ 1,((u \ K(u,w)) * T(u,v5)) \ 1) = K(((x \ 1) \ K(y,x)) \ T(x,z),T(u,v5) \ ((u \ 1) \ K(w,u))). [para(8549(a,1),11559(a,1,1,1))]. given #11051 (H,wt=47): 12129 (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(7152(a,2),8777(a,2,2))]. given #11052 (H,wt=41): 12137 (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(7610(a,1),12129(a,2,2))]. given #11053 (H,wt=41): 12138 (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(228,a,7231,a(flip),b,12137,a)]. given #11054 (H,wt=41): 12140 (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(228,a,7434,a(flip),b,12138,a)]. given #11055 (H,wt=39): 12141 (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). [hyper(228,a,7280,a(flip),b,12140,a)]. given #11056 (H,wt=23): 12142 (x * K(y,z * x)) / K(y,z) = K(y,z * x) * (K(z,y) * x). [para(7813(a,1),12141(a,1,2))]. given #11057 (H,wt=23): 12143 (x * K(y,z * x)) * K(z,y) = K(y,z * x) * (K(z,y) * x). [hyper(5067,a,12142,a)]. given #11058 (H,wt=23): 12145 K(x,y * z) * (K(y,x) * z) = z * (K(x,y * z) * K(y,x)). [hyper(8934,a,12143,a),flip(a)]. given #11059 (H,wt=25): 12146 L(x,y,z) * (K(x,u * L(x,y,z)) * K(u,x)) = L(L(x,u,x),y,z). [hyper(228,a,11932,a(flip),b,12145,a(flip))]. given #11060 (H,wt=25): 12147 L(x,y,z) * (K(u,x) * K(x,u * L(x,y,z))) = L(L(x,u,x),y,z). [para(1757(a,1),12146(a,1,2))]. given #11061 (H,wt=22): 12148 L(x,y,z) * (a(x,u,L(x,y,z)) \ 1) = L(L(x,u,x),y,z). [para(10013(a,1),12147(a,1,2))]. given #11062 (H,wt=22): 12149 L(x,y,z) \ L(L(x,u,x),y,z) = a(x,u,L(x,y,z)) \ 1. [hyper(77,a,12148,a)]. given #11063 (H,wt=48): 6505 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(6442(a,1),6038(a,1,1,2))]. given #11064 (H,wt=48): 8908 a(1 / ((x * y) \ x),T(z,y),1 / ((x * y) \ x)) * K(T(z,y),1 / ((x * y) \ x)) = K(z * (1 / ((x * y) \ x)),1 / ((x * y) \ x)). [para(5691(a,1),8891(a,2,1))]. given #11065 (H,wt=48): 10054 R(x,T(K(y,z),x),T(K(u,K(z,w)),K(y,z) * x)) \ ((K(u,K(z,w)) * K(y,z)) * x) = T(K(y,z),x) * T(K(u,K(z,w)),K(y,z) * x). [para(10034(a,2),867(a,1,2))]. given #11066 (H,wt=48): 10061 x / (K(((y \ 1) * x) \ x,z) * (((y \ 1) * x) * R(y,y \ 1,x))) = K(z,((y \ 1) * x) \ x) * K(((y \ 1) * x) \ x,(y \ 1) * x). [para(159(a,2),10050(a,1,2,2,2))]. given #11067 (H,wt=44): 12152 x / (T(K(y,z),x) * (((y \ 1) * x) * R(y,y \ 1,x))) = K(z,((y \ 1) * x) \ x) * K(((y \ 1) * x) \ x,(y \ 1) * x). [para(5860(a,1),10061(a,1,2,1))]. given #11068 (H,wt=37): 12153 K(x,((y \ 1) * z) \ z) * K(((y \ 1) * z) \ z,(y \ 1) * z) = z / (T(K(y,x),z) * ((y \ z) * y)). [para(3646(a,1),12152(a,1,2,2)),flip(a)]. given #11069 (H,wt=33): 12154 K(x,((y \ 1) * z) \ z) * K(((y \ 1) * z) \ z,(y \ 1) * z) = z / ((y \ z) * T(y,x)). [para(8231(a,1),12153(a,2,2))]. given #11070 (H,wt=43): 12155 K(x,((y \ 1) * (y * z)) \ (y * z)) * K(((y \ 1) * (y * z)) \ (y * z),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)). [para(13(a,1),12154(a,2,2,1))]. given #11071 (H,wt=42): 12156 K(x,R(T(y,z),y \ 1,z * y)) * K(((y \ 1) * (y * z)) \ (y * z),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)). [para(11790(a,1),12155(a,1,1,2))]. given #11072 (H,wt=35): 12157 T(K(x,y),z) * K(((y \ 1) * (y * z)) \ (y * z),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)). [para(8659(a,1),12156(a,1,1))]. given #11073 (H,wt=34): 12159 T(K(x,y),z) * K(R(T(y,z),y \ 1,z * y),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)). [para(11790(a,1),12157(a,1,2,1))]. given #11074 (H,wt=33): 12160 T(K(x,y),z) * K(R(T(y,z),y \ 1,z * y),L(z,y,y \ 1)) = (y * z) / (z * T(y,x)). [para(5380(a,1),12159(a,1,2))]. given #11075 (H,wt=31): 12161 T(K(x,y),z) * K(R(y,y \ 1,z * y),L(z,y,y \ 1)) = (y * z) / (z * T(y,x)). [para(7500(a,1),12160(a,1,2))]. given #11076 (H,wt=19): 12162 (x * y) / (y * T(x,z)) = T(K(z,x),y) * K(x,y). [para(6739(a,1),12161(a,1,2)),flip(a)]. given #11077 (H,wt=19): 12163 (x * y) / (y * T(x,z)) = T(K(z,x) * K(x,y),y). [hyper(228,a,7575,a,b,12162,a)]. given #11078 (H,wt=48): 12150 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(8506(a,1),6505(a,1,1))]. given #11079 (H,wt=45): 12165 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(8954(a,1),12150(a,1,1,2))]. given #11080 (H,wt=45): 12166 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(7723(a,1),12165(a,1,1))]. given #11081 (H,wt=43): 12168 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(7507(a,1),12166(a,1,1,2))]. given #11082 (H,wt=39): 12169 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(13(a,1),12168(a,1,1,2,1,2))]. given #11083 (H,wt=39): 12170 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(7728(a,1),12169(a,1,1))]. given #11084 (H,wt=37): 12171 K(x,K(y,z * y)) / ((z * y) / (z * (x \ T(x * y,x)))) = 1 / ((z * (x \ T(x * y,x))) \ (z * y)). [para(7783(a,1),12170(a,1,1))]. given #11085 (H,wt=35): 12172 K(x,K(y,z)) / ((y * z) / (y * (x \ T(x * z,x)))) = 1 / ((y * (x \ T(x * z,x))) \ (y * z)). [para(7777(a,1),12171(a,1,1))]. given #11086 (H,wt=35): 12173 K(x,K(y,z)) / ((x * z) / (x * (y \ T(y * z,y)))) = 1 / ((x * (y \ T(y * z,y))) \ (x * z)). [para(7723(a,1),12172(a,1,1))]. given #11087 (H,wt=32): 12174 K(x,K(y,z)) / L(K(y,T(z * y,x)),z,x) = 1 / ((x * (y \ T(y * z,y))) \ (x * z)). [para(9727(a,1),12173(a,1,2))]. given #11088 (H,wt=32): 12175 K(x,K(y,z)) * L(K(T(z * y,x),y),z,x) = 1 / ((x * (y \ T(y * z,y))) \ (x * z)). [hyper(6436,a,12174,a)]. given #11089 (H,wt=32): 12176 K(x,K(y,z)) * L(K(z * y,T(y,x)),z,x) = 1 / ((x * (y \ T(y * z,y))) \ (x * z)). [para(7202(a,1),12175(a,1,2,1))]. given #11090 (H,wt=18): 12177 L(K(x * y,T(y,z)),x,z) = K(y * x,T(y,z)). [hyper(17,a,10752,a(flip),b,12176,a)]. given #11091 (H,wt=17): 12178 K((x / (x * y)) \ z,z) = K(z * y,T(z,x)). [hyper(228,a,11375,a(flip),b,12177,a(flip)),flip(a)]. given #11092 (H,wt=17): 12180 K(x * (y \ z),T(x,y)) = K((y / z) \ x,x). [para(14(a,1),12178(a,1,1,1,2)),flip(a)]. given #11093 (H,wt=17): 12181 K((x \ y) * z,T(z,x)) = K((x / y) \ z,z). [hyper(228,a,6428,a,b,12180,a(flip)),flip(a)]. given #11094 (H,wt=20): 12182 K(x / y,z) * a(z,y \ x,z) = K((y / x) \ z,z). [hyper(228,a,9579,a,b,12181,a(flip)),flip(a)]. given #11095 (H,wt=20): 12183 K(x,y / z) * K((z / y) \ x,x) = a(x,z \ y,x). [hyper(5071,a,12182,a)]. given #11096 (H,wt=20): 12184 T(x,(y / z) \ x) \ T(x,z / y) = a(x,y \ z,x). [hyper(228,a,5471,a,b,12183,a(flip)),flip(a)]. given #11097 (H,wt=22): 12185 T(x,(y / z) \ x) \ T(x,(y / z) \ 1) = a(x,y \ z,x). [para(4109(a,2),12184(a,1,2))]. given #11098 (H,wt=24): 12186 T(x,(y / z) \ x) \ T(x,x \ ((y / z) \ x)) = a(x,y \ z,x). [para(3870(a,2),12185(a,1,2))]. given #11099 (H,wt=28): 12187 T(x,(y / z) \ x) \ ((x \ ((y / z) \ x)) \ ((y / z) \ x)) = a(x,y \ z,x). [hyper(228,a,393,a(flip),b,12186,a(flip)),flip(a)]. given #11100 (H,wt=15): 12188 a(x,(y / z) \ 1,x) = a(x,y \ z,x). [hyper(228,a,8917,a(flip),b,12187,a(flip)),flip(a)]. given #11101 (H,wt=15): 12189 a(x,(y * z) \ z,x) = a(x,y \ 1,x). [para(15(a,1),12188(a,1,2,1)),flip(a)]. given #11102 (H,wt=48): 12151 R(x,T(K(y,z),x),T(K(z,K(u,w)),K(y,z) * x)) \ ((K(u,K(z,w)) * K(y,z)) * x) = T(K(y,z),x) * T(K(u,K(z,w)),K(y,z) * x). [para(7723(a,1),10054(a,1,1,3,1))]. given #11103 (H,wt=44): 12191 R(x,T(K(y,z),x),T(K(z,K(u,w)),x)) \ ((K(u,K(z,w)) * K(y,z)) * x) = T(K(y,z),x) * T(K(u,K(z,w)),K(y,z) * x). [para(7609(a,1),12151(a,1,1,3))]. given #11104 (H,wt=44): 12192 R(x,T(K(y,z),x),K(z,K(u,T(w,x)))) \ ((K(u,K(z,w)) * K(y,z)) * x) = T(K(y,z),x) * T(K(u,K(z,w)),K(y,z) * x). [para(7195(a,2),12191(a,1,1,3))]. given #11105 (H,wt=44): 12194 R(x,T(K(y,z),x),K(z,K(u,T(w,x)))) \ ((K(z,K(u,w)) * K(y,z)) * x) = T(K(y,z),x) * T(K(u,K(z,w)),K(y,z) * x). [para(7723(a,1),12192(a,1,2,1,1))]. given #11106 (H,wt=44): 12195 R(x,T(K(y,z),x),K(z,K(u,T(w,x)))) \ (K(y,z) * (K(z,K(u,w)) * x)) = T(K(y,z),x) * T(K(u,K(z,w)),K(y,z) * x). [para(10023(a,1),12194(a,1,2))]. given #11107 (H,wt=44): 12196 R(x,T(K(y,z),x),K(z,K(u,T(w,x)))) \ (K(y,z) * (K(z,K(u,w)) * x)) = T(K(y,z),x) * T(K(z,K(u,w)),K(y,z) * x). [para(7723(a,1),12195(a,2,2,1))]. given #11108 (H,wt=40): 12197 R(x,T(K(y,z),x),K(z,K(u,T(w,x)))) \ (K(y,z) * (K(z,K(u,w)) * x)) = T(K(y,z),x) * T(K(z,K(u,w)),x). [para(7609(a,1),12196(a,2,2))]. given #11109 (H,wt=40): 12198 R(x,T(K(y,z),x),K(z,K(u,T(w,x)))) \ (K(y,z) * (K(z,K(u,w)) * x)) = T(K(y,z),x) * K(z,K(u,T(w,x))). [para(7195(a,2),12197(a,2,2))]. given #11110 (H,wt=27): 12200 x \ (K(y,z) * (K(z,K(u,w)) * x)) = T(K(y,z),x) * K(z,K(u,T(w,x))). [para(8859(a,1),12198(a,1,1))]. given #11111 (H,wt=25): 12201 T(K(x,y),z) * K(y,K(u,T(w,z))) = T(K(x,y) * K(y,K(u,w)),z). [hyper(10044,a,12200,a),flip(a)]. given #11112 (H,wt=25): 12202 K(x,K(y,T(z,u))) * T(K(w,x),u) = T(K(w,x) * K(x,K(y,z)),u). [hyper(228,a,1760,a(flip),b,12201,a(flip)),flip(a)]. given #11113 (H,wt=28): 12203 T(K(x,y) * K(y,K(z,u)),w) != v5 | K(y,K(z,T(u,w))) * K(x,T(y,w)) = v5. [para(12202(a,1),8350(a,1))]. given #11114 (H,wt=49): 6572 K(R(x,L(y,z,u),x),R(x,L(y,z,u),x) * y) * T(x * L(y,z,u),x) = L(y,z,u) * T(R(x,L(y,z,u),x),R(x,L(y,z,u),x) * y). [para(4040(a,1),6402(a,1,2))]. given #11115 (H,wt=37): 12204 L(x,y,z) * T(R(u,L(x,y,z),u),R(u,L(x,y,z),u) * x) = K(u,u * x) * T(u * L(x,y,z),u). [para(8744(a,1),6572(a,1,1)),flip(a)]. given #11116 (H,wt=37): 12205 L(x,y,z) * T(R(u,L(x,y,z),u),R(u,L(x,y,z),u) * x) = T(K(u,u * x) * (u * L(x,y,z)),u). [hyper(228,a,7542,a,b,12204,a)]. given #11117 (H,wt=35): 12207 L(x,y,z) * T(R(u,L(x,y,z),u),R(u,L(x,y,z),u) * x) = T(T(u,u * x) * L(x,y,z),u). [para(4720(a,1),12205(a,2,1))]. given #11118 (H,wt=49): 6573 K(R(x,R(y,z,u),x),R(x,R(y,z,u),x) * y) * T(x * R(y,z,u),x) = R(y,z,u) * T(R(x,R(y,z,u),x),R(x,R(y,z,u),x) * y). [para(4040(a,1),6403(a,1,2))]. given #11119 (H,wt=37): 12208 R(x,y,z) * T(R(u,R(x,y,z),u),R(u,R(x,y,z),u) * x) = K(u,u * x) * T(u * R(x,y,z),u). [para(8744(a,1),6573(a,1,1)),flip(a)]. given #11120 (H,wt=37): 12209 R(x,y,z) * T(R(u,R(x,y,z),u),R(u,R(x,y,z),u) * x) = T(K(u,u * x) * (u * R(x,y,z)),u). [hyper(228,a,7542,a,b,12208,a)]. given #11121 (H,wt=35): 12211 R(x,y,z) * T(R(u,R(x,y,z),u),R(u,R(x,y,z),u) * x) = T(T(u,u * x) * R(x,y,z),u). [para(4720(a,1),12209(a,2,1))]. given #11122 (H,wt=33): 12212 R(x,y,z) * T(R(u,R(x,y,z),u),R(u,R(x,y,z),u) * x) = T(u * R(x,y,z),u * x). [hyper(228,a,9846,a(flip),b,12211,a)]. given #11123 (H,wt=33): 12213 R(x,y,z) * R(T(u,x * R(u,R(x,y,z),u)),R(x,y,z),u) = T(u * R(x,y,z),u * x). [para(4070(a,2),12212(a,1,2))]. given #11124 (H,wt=27): 12214 R(x,y,z) * R(T(u,u * x),R(x,y,z),u) = T(u * R(x,y,z),u * x). [para(8740(a,1),12213(a,1,2,1))]. given #11125 (H,wt=27): 12215 R(x,y,z) * R(T(u,x * u),R(x,y,z),u) = T(u * R(x,y,z),u * x). [para(4066(a,2),12214(a,1,2,1))]. given #11126 (H,wt=49): 8919 L((K(x,y) * a(x,z,x)) \ u,x \ R(T(x,y),z,x),T(x,R(T(x,y),z,x))) = ((x * R(T(x,y),z,x)) / x) \ (T(x,R(T(x,y),z,x)) * u). [para(8887(a,1),3773(a,1,1,1))]. given #11127 (H,wt=49): 11558 (((x \ K(x,y)) \ 1) \ T(x,z)) \ K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ K(x,y)) \ 1)) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). [para(11556(a,2),2837(a,1,2,1))]. given #11128 (H,wt=49): 12217 L((K(x,y) * a(x,z,x)) \ u,K(x,y) * a(x,z,x),T(x,R(T(x,y),z,x))) = ((x * R(T(x,y),z,x)) / x) \ (T(x,R(T(x,y),z,x)) * u). [para(8887(a,1),8919(a,1,2))]. given #11129 (H,wt=42): 12219 ((x * R(T(x,y),z,x)) / x) \ (T(x,R(T(x,y),z,x)) * u) = L((K(x,y) * a(x,z,x)) \ u,K(x,y) * a(x,z,x),x). [para(790(a,1),12217(a,1,3)),flip(a)]. given #11130 (H,wt=32): 12220 ((x * R(T(x,y),z,x)) / x) \ (T(x,R(T(x,y),z,x)) * u) = (K(x,y) * a(x,z,x)) \ u. [hyper(228,a,10378,a(flip),b,12219,a)]. given #11131 (H,wt=21): 12222 (K(x,y) * a(x,z,x)) \ u = R(T(x,y),z,x) \ (x * u). [hyper(228,a,4213,a(flip),b,12220,a(flip))]. given #11132 (H,wt=21): 12223 (K(x,y) * a(x,z,x)) \ u = x * (R(T(x,y),z,x) \ u). [hyper(228,a,1693,a(flip),b,12222,a)]. given #11133 (H,wt=21): 12224 (a(x,y,x) * K(x,z)) \ u = x * (R(T(x,z),y,x) \ u). [hyper(228,a,9796,a,b,12223,a(flip)),flip(a)]. given #11134 (H,wt=20): 12225 L(x,y,L(x,z,u)) = x * (R(T(x,w),y,x) \ T(x,w)). [hyper(228,a,12135,a,b,12224,a(flip)),flip(a)]. given #11135 (H,wt=20): 12226 L(x,y,L(x,z,u)) = x * (T(x,w) \ L(T(x,w),y,x)). [para(11871(a,1),12225(a,2,2))]. given #11136 (H,wt=16): 12227 L(x,y,L(x,z,u)) = x * (x \ L(x,y,x)). [para(7415(a,1),12226(a,2,2))]. given #11137 (H,wt=12): 12228 L(x,y,L(x,z,u)) = L(x,y,x). [hyper(228,a,14,a(flip),b,12227,a)]. given #11138 (H,wt=16): 12231 K(L(x,y,L(x,z,u)),w) != v5 | K(x,w) = v5. [para(12228(a,2),7373(a,1,1))]. given #11139 (H,wt=18): 12230 L(L(x,y,z),u,L(x,w,v5)) = L(L(x,u,x),y,z). [para(12228(a,1),45(a,1,1)),flip(a)]. given #11140 (H,wt=27): 12232 (L(x,y,z) \ L(L(x,u,x),y,z)) \ w = w * a(L(x,y,z),u,L(x,y,z)). [para(12230(a,1),10053(a,1,1,2))]. given #11141 (H,wt=24): 12233 x * a(L(y,z,u),w,L(y,z,u)) = (a(y,w,L(y,z,u)) \ 1) \ x. [para(12149(a,1),12232(a,1,1)),flip(a)]. given #11142 (H,wt=18): 12234 a(L(x,y,z),u,L(x,y,z)) = a(x,u,L(x,y,z)). [hyper(69,a,11720,a(flip),b,12233,a)]. given #11143 (H,wt=15): 12235 a(L(x,y,z),u,L(x,y,z)) = a(x,u,x). [hyper(228,a,11347,a(flip),b,12234,a)]. given #11144 (H,wt=12): 12237 L(a(x,y,x),z,u) = a(x,y,x). [hyper(228,a,11461,a(flip),b,12235,a(flip)),flip(a)]. given #11145 (H,wt=14): 12241 L(a(x,y,x),z,u) = a(x,y,x) * 1. [hyper(228,a,12,a,b,12237,a)]. given #11146 (H,wt=15): 12247 a(x,y,x) != z | L(a(x,y,x),u,w) = z. [para(12237(a,1),11016(a,1))]. given #11147 (H,wt=15): 12248 L(a(x,y,x),z,u) != w | a(x,y,x) = w. [para(12241(a,2),81(a,1)),flip(b)]. given #11148 (H,wt=17): 12244 (x * y) * a(z,u,z) = x * (y * a(z,u,z)). [para(12237(a,1),100(a,1,2))]. given #11149 (H,wt=9): 12251 R(x,y,a(z,u,z)) = x. [hyper(476,a,12244,a)]. given #11150 (H,wt=17): 12250 x \ (y * a(z,u,z)) = (x \ y) * a(z,u,z). [hyper(564,a,12244,a)]. given #11151 (H,wt=18): 12252 L(T(x,y),y,a(z,u,z)) = T(x,y * a(z,u,z)). [hyper(10131,a,12251,a)]. given #11152 (H,wt=21): 12249 a(L(x,y,z),u,L(x,y,z)) != w | L(a(x,u,x),v5,v6) = w. [para(12235(a,2),12247(a,1))]. given #11153 (H,wt=21): 12255 x \ (y * (z * a(u,w,u))) = (x \ (y * z)) * a(u,w,u). [para(12244(a,1),12250(a,1,2))]. given #11154 (H,wt=24): 12259 (x * y) \ (x * ((y * z) * a(u,w,u))) = L(z,y,x) * a(u,w,u). [para(28(a,2),12255(a,2,1))]. given #11155 (H,wt=24): 12260 (x * y) \ (x * (y * (z * a(u,w,u)))) = L(z,y,x) * a(u,w,u). [para(12244(a,1),12259(a,1,2,2))]. given #11156 (H,wt=19): 12261 L(x * a(y,z,y),u,w) = L(x,u,w) * a(y,z,y). [hyper(456,a,12260,a)]. given #11157 (H,wt=19): 12262 a(x,y,x) \ L(a(x,y,x) * z,u,w) = L(z,u,w). [hyper(4583,a,12261,a)]. given #11158 (H,wt=19): 12263 L(a(x,y,x) * z,u,w) = a(x,y,x) * L(z,u,w). [para(12262(a,1),14(a,1,2)),flip(a)]. given #11159 (H,wt=21): 12264 x * L(a(x,y,x) * z,u,w) = R(x,y,x) * L(z,u,w). [para(12263(a,2),9832(a,1,2))]. given #11160 (H,wt=23): 12265 R(x,y,x) * L(R(x,y,x) \ z,u,w) = x * L(x \ z,u,w). [para(9834(a,1),12264(a,1,2,1)),flip(a)]. given #11161 (H,wt=20): 12266 R(x * L(x \ 1,y,z),u,x) = x * L(x \ 1,y,z). [hyper(3357,a,12265,a)]. given #11162 (H,wt=24): 12267 R(T(x * L(x \ 1,y,z),u),w,x) = T(x * L(x \ 1,y,z),u). [para(12266(a,1),42(a,2,1))]. given #11163 (H,wt=23): 12268 T(x * L(x \ 1,y,z),x * u) = T(x * L(x \ 1,y,z),u). [hyper(11275,a,12267,a),flip(a)]. given #11164 (H,wt=25): 12257 (x * (y * R(z,u,z))) / (x * (y * z)) != w | L(a(z,u,z),v5,v6) = w. [para(11323(a,2),12249(a,1))]. given #11165 (H,wt=26): 12254 ((a(x,y,x) * z) \ (z * u)) * a(x,y,x) != w | L(u,z,a(x,y,x)) = w. [para(12250(a,1),9784(a,1))]. given #11166 (H,wt=28): 12258 ((a(x,y,x) * z) \ (z * u)) * a(x,y,x) = L(T(u,a(x,y,x)),a(x,y,x),z). [hyper(9787,a,12255,a),flip(a)]. given #11167 (H,wt=20): 12270 L(T(x,a(y,z,y)),a(y,z,y),u) = L(x,u,a(y,z,y)). [hyper(12254,a,12258,a),flip(a)]. given #11168 (H,wt=15): 12271 L(x,a(y,z,y),u) = L(x,u,a(y,z,y)). [para(9766(a,1),12270(a,1,1))]. given #11169 (H,wt=29): 12269 T((1 / x) * L((1 / x) \ 1,y,z),u) = T((1 / x) * L(x,y,z),(1 / x) * u). [para(64(a,1),12268(a,1,1,2,1)),flip(a)]. given #11170 (H,wt=27): 12272 T(x \ L(x,y,z),(1 / x) * u) = T((1 / x) * L((1 / x) \ 1,y,z),u). [para(4602(a,1),12269(a,2,1)),flip(a)]. given #11171 (H,wt=27): 12273 T(x \ L(x,y,z),(x \ 1) * u) = T((1 / x) * L((1 / x) \ 1,y,z),u). [hyper(228,a,4344,a(flip),b,12272,a(flip)),flip(a)]. given #11172 (H,wt=49): 12218 (((x \ 1) \ K(y,x)) \ T(x,z)) \ K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ K(x,y)) \ 1)) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). [para(5127(a,1),11558(a,1,1,1))]. given #11173 (H,wt=47): 12274 ((x \ K(x,y)) * T(x,z)) \ K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ K(x,y)) \ 1)) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). [para(11556(a,1),12218(a,1,1))]. given #11174 (H,wt=45): 12275 ((x \ K(x,y)) * T(x,z)) \ K((x \ K(x,y)) * T(x,z),T(x,z) \ ((x \ K(x,y)) \ 1)) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). [para(11556(a,1),12274(a,1,2,1))]. given #11175 (H,wt=45): 12276 ((x \ K(x,y)) * T(x,z)) \ K((x \ K(x,y)) * T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). [para(5127(a,1),12275(a,1,2,2,2))]. given #11176 (H,wt=50): 6669 R((x \ y) * x,((x \ y) * x) \ 1,(((x \ y) * x) \ 1) \ K(x,x \ y)) = (y / ((x \ y) * x)) \ ((((x \ y) * x) \ 1) \ (((x \ y) * x) \ y)). [para(95(a,1),6541(a,1,3,2))]. given #11177 (H,wt=46): 12277 (x / ((y \ x) * y)) \ ((((y \ x) * y) \ 1) \ (((y \ x) * y) \ x)) = R((y \ x) * y,((y \ x) * y) \ 1,((y * (y \ x)) \ 1) \ 1). [para(5879(a,1),6669(a,1,3)),flip(a)]. given #11178 (H,wt=42): 12278 (x / ((y \ x) * y)) \ ((((y \ x) * y) \ 1) \ (((y \ x) * y) \ x)) = R((y \ x) * y,((y \ x) * y) \ 1,(x \ 1) \ 1). [para(14(a,1),12277(a,2,3,1,1))]. given #11179 (H,wt=38): 12279 (x / ((y \ x) * y)) \ ((((y \ x) * y) \ 1) \ (((y \ x) * y) \ x)) = R((y \ x) * y,((y \ x) * y) \ 1,x). [hyper(228,a,4312,a(flip),b,12278,a)]. given #11180 (H,wt=36): 12281 K(x,x \ y) \ ((((x \ y) * x) \ 1) \ (((x \ y) * x) \ y)) = R((x \ y) * x,((x \ y) * x) \ 1,y). [para(4795(a,1),12279(a,1,1))]. given #11181 (H,wt=34): 12282 K(x,x \ y) \ ((((x \ y) * x) \ 1) \ K(x,x \ y)) = R((x \ y) * x,((x \ y) * x) \ 1,y). [para(95(a,1),12281(a,1,2,2))]. given #11182 (H,wt=30): 12283 R((x \ y) * x,((x \ y) * x) \ 1,y) = K(x,x \ y) \ (((x * (x \ y)) \ 1) \ 1). [para(5879(a,1),12282(a,1,2)),flip(a)]. given #11183 (H,wt=26): 12284 R((x \ y) * x,((x \ y) * x) \ 1,y) = K(x,x \ y) \ ((y \ 1) \ 1). [para(14(a,1),12283(a,2,2,1,1))]. given #11184 (H,wt=26): 12285 R((x \ y) * x,((x \ y) * x) \ 1,y) = K(x \ y,x) * ((y \ 1) \ 1). [hyper(228,a,5035,a(flip),b,12284,a)]. given #11185 (H,wt=24): 12287 R((x \ y) * x,((x \ y) * x) \ 1,y) = T((x \ y) * x,y \ 1). [hyper(228,a,6516,a(flip),b,12285,a)]. given #11186 (H,wt=21): 12288 T((x \ y) * x,y \ 1) \ y = (((x \ y) * x) \ 1) * y. [para(12287(a,1),391(a,1,1))]. given #11187 (H,wt=19): 12289 (((x \ y) * x) \ 1) * y = (y \ 1) * (x * (y / x)). [hyper(228,a,9063,a(flip),b,12288,a(flip))]. given #11188 (H,wt=21): 12290 K(x,x \ y) * K(y \ 1,y) = (((x \ y) * x) \ 1) * y. [hyper(6413,a,12289,a(flip))]. given #11189 (H,wt=19): 12291 (((x \ y) * x) \ 1) * ((y \ 1) \ 1) = K(x,x \ y). [hyper(5888,a,12290,a)]. given #11190 (H,wt=41): 12292 ((((x * y) \ x) \ T(((x * y) \ x) * z,y)) \ 1) * ((z \ 1) \ 1) = K(((x * y) \ x) \ 1,(((x * y) \ x) \ 1) \ z). [para(5689(a,2),12291(a,1,1,1))]. given #11191 (H,wt=39): 12293 ((((x * y) \ x) \ T(((x * y) \ x) * z,y)) \ 1) * ((z \ 1) \ 1) = K(((x * y) \ x) \ 1,z * ((x * y) \ x)). [hyper(228,a,5537,a(flip),b,12292,a)]. given #11192 (H,wt=33): 12294 ((((x * y) \ x) \ T(((x * y) \ x) * z,y)) \ 1) * ((z \ 1) \ 1) = K(y,z * ((x * y) \ x)). [hyper(228,a,5613,a(flip),b,12293,a)]. given #11193 (H,wt=50): 10425 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = (y \ T(y * (x \ 1),y)) * R(T(x \ a(y,x \ 1,y),y) \ 1,z,u). [para(10424(a,1),2014(a,1,1)),flip(a)]. given #11194 (H,wt=49): 12296 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = (y \ T(y * (x \ 1),y)) * R((y \ T(y * (x \ 1),y)) \ 1,z,u). [para(10424(a,1),10425(a,2,2,1,1))]. given #11195 (H,wt=47): 12297 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = y \ (T(y * (x \ 1),y) * R(T(y * (x \ 1),y) \ y,z,u)). [hyper(228,a,1600,a(flip),b,12296,a)]. given #11196 (H,wt=45): 12298 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = y \ T((y * (x \ 1)) * R((y * (x \ 1)) \ y,z,u),y). [para(1780(a,1),12297(a,2,2))]. given #11197 (H,wt=43): 12299 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = y \ T(y * ((x \ 1) * R((x \ 1) \ 1,z,u)),y). [para(840(a,1),12298(a,2,2,1))]. given #11198 (H,wt=37): 12300 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = y \ T(y * (x \ R(x,z,u)),y). [para(1145(a,1),12299(a,2,2,1,2))]. given #11199 (H,wt=35): 12301 T(x \ (a(y,x \ 1,y) * R(a(y,x \ 1,y) \ x,z,u)),y) = y \ T(y * (x \ R(x,z,u)),y). [para(1600(a,1),12300(a,1,1))]. given #11200 (H,wt=51): 9536 K(a(x,y,z),T((((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u),x * (y * z))) = K(a(x,y,z),(((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u)). [para(4635(a,1),7594(a,1,2)),flip(a)]. given #11201 (H,wt=41): 12302 K(a(x,y,z),T((((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u),x * (y * z))) = K(a(x,y,z),K((x * y) * z,u)). [hyper(228,a,9263,a(flip),b,9536,a)]. given #11202 (H,wt=41): 12303 K(a(x,y,z),T((((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u),x * (y * z))) = K(u,K(a(x,y,z),(x * y) * z)). [hyper(228,a,7728,a(flip),b,12302,a)]. given #11203 (H,wt=52): 9469 K(R(T(x,y / (((x \ y) \ 1) \ 1)),x \ y,y \ (y / (((x \ y) \ 1) \ 1))),z) = K(((y \ (y / (x \ y))) * (x \ y)) \ (y / (((x \ y) \ 1) \ 1)),z). [para(2870(a,1),9401(a,2,1,1))]. given #11204 (H,wt=52): 10926 L(x,K(y,z),R(K(u,y) * R(K(y,u),w,v5),K(y,z),x)) = ((K(u,y) * R(K(y,u),w,v5)) * K(y,z)) \ (((K(u,y) * R(K(y,u),w,v5)) * K(y,z)) * x). [para(10924(a,1),474(a,1,1,1)),flip(a)]. given #11205 (H,wt=22): 12305 L(x,K(y,z),R(K(u,y) * R(K(y,u),w,v5),K(y,z),x)) = x. [hyper(228,a,13,a(flip),b,10926,a)]. given #11206 (H,wt=17): 12307 L(x,K(y,z),K(u,y) * R(K(y,u),w,v5)) = x. [para(10924(a,1),12305(a,1,3))]. given #11207 (H,wt=13): 12309 L(x,K(y,z),a(K(y,u),w,v5)) = x. [para(12050(a,1),12307(a,1,3))]. given #11208 (H,wt=25): 12310 (a(K(x,y),z,u) * K(x,w)) * v5 = a(K(x,y),z,u) * (K(x,w) * v5). [para(12309(a,1),100(a,1,2))]. given #11209 (H,wt=27): 12311 a(K(x,T(y,z)),u,w) * (K(x,y) * (K(y,x) * z)) = z * a(K(x,y),u,w). [hyper(228,a,12075,a(flip),b,12310,a(flip))]. given #11210 (H,wt=19): 12312 a(K(x,T(y,z)),u,w) * z = z * a(K(x,y),u,w). [para(5042(a,1),12311(a,1,2))]. given #11211 (H,wt=19): 12313 x * a(K(y,T(z,x)),u,w) = a(K(y,z),u,w) * x. [para(7828(a,1),12312(a,1,1,1)),flip(a)]. given #11212 (H,wt=17): 12314 a(K(x,T(y,z)),u,w) = T(a(K(x,y),u,w),z). [hyper(172,a,12313,a),flip(a)]. given #11213 (H,wt=52): 11865 ((x * (K(y,z) * u)) / (x * T(u,K(y,z)))) \ T(x * (K(y,z) * u),L(K(z,y),u,x)) = T(x * (K(y,z) * u),L(K(z,y),u,x)) * L(K(z,y),u,x). [para(11864(a,1),6523(a,1,1,2))]. given #11214 (H,wt=52): 12304 K(R(T(x,y * (((y \ x) \ 1) \ 1)),x \ y,y \ (y / (((x \ y) \ 1) \ 1))),z) = K(((y \ (y / (x \ y))) * (x \ y)) \ (y / (((x \ y) \ 1) \ 1)),z). [para(2892(a,1),9469(a,1,1,1,2))]. given #11215 (H,wt=44): 12316 K(R(T(x,x),x \ y,y \ (y / (((x \ y) \ 1) \ 1))),z) = K(((y \ (y / (x \ y))) * (x \ y)) \ (y / (((x \ y) \ 1) \ 1)),z). [para(4339(a,1),12304(a,1,1,1))]. given #11216 (H,wt=42): 12317 K(((x \ (x / (y \ x))) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,x \ (x / (((y \ x) \ 1) \ 1))),z). [para(112(a,1),12316(a,1,1,1)),flip(a)]. given #11217 (H,wt=42): 12319 K(((x \ (x / (y \ x))) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,x \ (x * (((x \ y) \ 1) \ 1))),z). [para(2892(a,1),12317(a,2,1,3,2))]. given #11218 (H,wt=38): 12320 K(((x \ (x / (y \ x))) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,((x \ y) \ 1) \ 1),z). [para(13(a,1),12319(a,2,1,3))]. given #11219 (H,wt=34): 12322 K(((x \ (x / (y \ x))) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,x \ y),z). [para(4312(a,1),12320(a,2,1))]. given #11220 (H,wt=30): 12323 K(((x \ y) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,x \ y),z). [para(61(a,1),12322(a,1,1,1,1,2))]. given #11221 (H,wt=30): 12324 K(((x \ y) * (y \ x)) \ (x * (((x \ y) \ 1) \ 1)),z) = K(R(y,y \ x,x \ y),z). [para(2892(a,1),12323(a,1,1,2))]. given #11222 (H,wt=22): 12325 K(((x \ y) * (y \ x)) \ y,z) = K(R(y,y \ x,x \ y),z). [hyper(228,a,5892,a(flip),b,12324,a(flip)),flip(a)]. given #11223 (H,wt=32): 12327 K(R(x * y,(x * y) \ y,y \ (x * y)),z) = K((T(x,y) * ((x * y) \ y)) \ (x * y),z). [para(32(a,2),12325(a,1,1,1,1)),flip(a)]. given #11224 (H,wt=30): 12328 K(R(x * y,(x * y) \ y,y \ (x * y)),z) = K((x * ((y * x) \ y)) \ (x * y),z). [para(10201(a,1),12327(a,2,1,1))]. given #11225 (H,wt=27): 12329 K(R(x * y,(x * y) \ y,y \ (x * y)),z) = L(K(T(y * x,y),z),y,x). [hyper(228,a,7201,a(flip),b,12328,a)]. given #11226 (H,wt=25): 12330 K(R(x * y,(x * y) \ y,T(x,y)),z) = L(K(T(y * x,y),z),y,x). [para(32(a,2),12329(a,1,1,3))]. given #11227 (H,wt=25): 12331 K(R(x * y,(x * y) \ y,T(x,y)),z) = L(K(y * x,T(z,y)),y,x). [para(7202(a,1),12330(a,2,1))]. given #11228 (H,wt=21): 12332 R(K(x * y,z),y,T(x,y)) = L(K(y * x,T(z,y)),y,x). [hyper(228,a,6732,a(flip),b,12331,a(flip)),flip(a)]. given #11229 (H,wt=28): 12333 (K(x * y,z) * ((x * y) / x)) * x = (x * y) * L(K(y * x,T(z,y)),y,x). [para(12332(a,1),6639(a,2,2))]. given #11230 (H,wt=25): 12334 (K(x * y,z) * ((x * y) / x)) * x = x * (y * K(y * x,T(z,y))). [hyper(228,a,100,a(flip),b,12333,a)]. given #11231 (H,wt=23): 12335 (K(x * y,z) * ((x * y) / x)) * x = x * (K(y * x,z) * y). [hyper(228,a,7280,a(flip),b,12334,a)]. given #11232 (H,wt=21): 12336 (K(x * y,z) * y) * T(x,y) = x * (K(y * x,z) * y). [hyper(6626,a,12335,a)]. given #11233 (H,wt=15): 12337 K(x * y,z) * x = x * K(y * x,z). [hyper(11105,a,12336,a),flip(a)]. given #11234 (H,wt=13): 12338 K(x * y,T(z,y)) = K(y * x,z). [hyper(7884,a,12337,a),flip(a)]. given #11235 (H,wt=13): 12339 K(x * y,T(z,x)) = K(y * x,z). [hyper(7282,a,12337,a)]. given #11236 (H,wt=13): 12343 K(x * (y / x),z) = K(y,T(z,x)). [para(16(a,1),12338(a,1,1)),flip(a)]. given #11237 (H,wt=13): 12347 K((x \ y) * x,z) = K(y,T(z,x)). [para(14(a,1),12339(a,1,1)),flip(a)]. given #11238 (H,wt=11): 12352 K((x \ y) * x,T(y,z)) = 1. [hyper(228,a,416,a(flip),b,12347,a)]. given #11239 (H,wt=15): 12350 K(T(x,y) * y,z) = K(x * y,T(z,x)). [para(3747(a,2),12343(a,1,1))]. given #11240 (H,wt=11): 12355 K(T(x \ y,x) * x,y) = 1. [hyper(228,a,12352,a(flip),b,12350,a)]. given #11241 (H,wt=13): 12356 x * K(T(y \ z,y) * y,z) = x. [para(12355(a,2),12(a,1,2))]. given #11242 (H,wt=15): 12354 T(x,(y \ z) * y) = x / K(z,T(x,y)). [para(12347(a,1),4658(a,2,2))]. given #11243 (H,wt=13): 12357 T(x,(y \ z) * y) = T(x,T(z,y)). [hyper(228,a,7224,a(flip),b,12354,a)]. given #11244 (H,wt=13): 12358 T(x,T(y * z,y)) = T(x,z * y). [para(13(a,1),12357(a,1,2,1)),flip(a)]. given #11245 (H,wt=14): 12359 T(x,(x \ y) * x) != z | T(x,y) = z. [para(12357(a,2),3999(a,1))]. given #11246 (H,wt=14): 12362 T(x,y * x) != z | T(x,x * y) = z. [para(12358(a,1),3999(a,1))]. given #11247 (H,wt=15): 12360 T(x,T(y * z,y)) = x * K(x,z * y). [hyper(228,a,4705,a(flip),b,12358,a)]. given #11248 (H,wt=13): 12365 K(x,T(y * z,y)) = K(x,z * y). [hyper(4771,a,12360,a)]. given #11249 (H,wt=13): 12369 K(x,(y \ z) * y) = K(x,T(z,y)). [para(14(a,1),12365(a,1,2,1)),flip(a)]. given #11250 (H,wt=15): 12361 T(T(x,K(y,z)),z * y) = T(x,y * z). [hyper(228,a,7995,a,b,12358,a(flip)),flip(a)]. given #11251 (H,wt=15): 12368 K(x,T(y * z,y)) = K(x,(z \ 1) \ y). [hyper(228,a,5548,a,b,12365,a)]. given #11252 (H,wt=15): 12372 T(T(x,y * z),K(y,z)) = T(x,z * y). [hyper(7793,a,12361,a)]. given #11253 (H,wt=16): 12371 K(T(x,y),z * y) != u | K(x,y * z) = u. [para(12365(a,1),7962(a,1))]. given #11254 (H,wt=16): 12375 K(x,T(y * z,y)) != u | K(x,z * y) = u. [para(12368(a,2),6168(a,1))]. given #11255 (H,wt=16): 12378 K(x,T(y * z,z)) != u | K(x,z * y) = u. [para(7202(a,1),12371(a,1))]. given #11256 (H,wt=17): 12340 K((x \ 1) * y,T(z,x)) = K(y * (x \ 1),z). [hyper(18,a,8138,a(flip),b,12337,a)]. given #11257 (H,wt=17): 12364 K(x,T((y \ 1) * z,y)) = K(x,z * (y \ 1)). [hyper(8132,a,12360,a)]. given #11258 (H,wt=17): 12367 K(x,T(y * (z \ x),z)) = K(x,(z \ x) * y). [hyper(8184,a,12365,a)]. given #11259 (H,wt=18): 12363 T(x,T(y * x,z)) != u | T(x,T(x * y,z)) = u. [para(4471(a,1),12359(a,1,2))]. given #11260 (H,wt=18): 12374 T(T(x,y * z),K(y,z)) != u | T(x,z * y) = u. [para(12361(a,1),7802(a,1,1))]. given #11261 (H,wt=18): 12376 T(T(x,K(y,z)),z * y) != u | T(x,y * z) = u. [para(12372(a,1),7802(a,1))]. given #11262 (H,wt=19): 12370 T(x * y,T(z,x)) \ 1 = (x * y) \ K(z,y * x). [para(12365(a,1),7212(a,2,2))]. given #11263 (H,wt=19): 12373 T(x / y,(y \ x) * z) = T(x / y,z * (y \ x)). [para(3171(a,1),12361(a,1,1)),flip(a)]. given #11264 (H,wt=17): 12386 T(1 / x,(x \ 1) * y) = T(1 / x,x \ y). [hyper(228,a,8277,a(flip),b,12373,a)]. given #11265 (H,wt=20): 12377 K(x,y * R(x,z,u)) != w | K(x,R(x,z,u) * y) = w. [para(602(a,1),12371(a,1,1))]. given #11266 (H,wt=20): 12380 K(x,T((y \ 1) * (z * y),y)) = R(K(x,z),y,y \ 1). [hyper(228,a,11178,a(flip),b,12364,a)]. given #11267 (H,wt=17): 12388 R(K(x,y),z,z \ 1) = K(x,L(y,z,z \ 1)). [hyper(228,a,9134,a(flip),b,12380,a(flip))]. given #11268 (H,wt=17): 12389 K(x,R(y,z,z \ 1)) = K(x,L(y,z,z \ 1)). [hyper(228,a,11177,a(flip),b,12388,a(flip)),flip(a)]. given #11269 (H,wt=12): 12390 K(x,R(y,z,z \ 1)) = K(x,y). [hyper(228,a,11395,a(flip),b,12389,a)]. given #11270 (H,wt=21): 12344 K(x * T(x \ y,z),T(u,x)) = K(x * T(y / x,z),u). [para(409(a,1),12338(a,1,1))]. given #11271 (H,wt=21): 12353 K((x \ y) * x,(x \ y) \ z) = K(y,T(y \ (x * z),x)). [hyper(228,a,11600,a,b,12347,a(flip)),flip(a)]. given #11272 (H,wt=19): 12393 K(x,T((y \ x) \ z,y)) = K(x,T(x \ (y * z),y)). [hyper(228,a,12347,a(flip),b,12353,a(flip)),flip(a)]. given #11273 (H,wt=17): 12394 K(x,T(x \ (y * z),y)) = K(x,z / (y \ x)). [hyper(8166,a,12393,a),flip(a)]. given #11274 (H,wt=15): 12395 K(x,y / (z \ x)) = K(x,y * (x \ z)). [hyper(228,a,11097,a(flip),b,12394,a(flip))]. given #11275 (H,wt=21): 12366 K(x \ 1,T((y \ x) * z,y)) = K(x \ 1,z * (y \ x)). [hyper(9244,a,12365,a)]. given #11276 (H,wt=21): 12381 K(x,(y \ x) * R(y,z,u)) = K(x,x * (y \ R(y,z,u))). [hyper(228,a,9931,a(flip),b,12367,a(flip))]. given #11277 (H,wt=22): 12349 K(x * y,z) * T(z,T(z * (y * x),y)) = L(z,y * x,z). [para(12339(a,1),9584(a,1,1))]. given #11278 (H,wt=23): 12351 K(x * K((x \ y) \ 1,z),T(u,y)) = K(y * T(x / y,z),u). [para(5845(a,1),12343(a,1,1,2)),flip(a)]. given #11279 (H,wt=24): 12382 T(T(x,K(y,K(z,u))),K(u,z) * y) != w | T(x,y * K(u,z)) = w. [para(7741(a,1),12376(a,1,1,2))]. given #11280 (H,wt=25): 12348 K(((x * (y \ z)) / x) * y,u) = K(z * K(x,(z \ y) \ 1),T(u,y)). [para(5365(a,2),12339(a,1,1)),flip(a)]. given #11281 (H,wt=26): 12384 T(T(x,K(y,z)),T(T(z,u),u) * y) != w | T(x,y * T(T(z,u),u)) = w. [para(7828(a,1),12376(a,1,1,2))]. given #11282 (H,wt=27): 12385 T(K(x,y) * K(z,x),T(u,K(x,y))) \ 1 = K(x,T(z,u)) * K(y,T(x,u)). [hyper(228,a,11882,a(flip),b,12370,a)]. given #11283 (H,wt=23): 12399 T(K(x,y) * K(y,z),u) \ 1 = K(y,T(x,u)) * K(z,T(y,u)). [para(10062(a,1),12385(a,1,1))]. given #11284 (H,wt=21): 12400 K(x,T(y,z)) * K(u,T(x,z)) = T(K(x,y) * K(u,x),z). [hyper(11663,a,12399,a),flip(a)]. given #11285 (H,wt=25): 12401 K(x,T(y,z)) * (K(u,T(x,z)) * w) = T(K(x,y) * K(u,x),z) * w. [para(12400(a,1),10033(a,1,1)),flip(a)]. given #11286 (H,wt=27): 12396 K(1 / x,(1 / x) \ (y / ((x * z) \ x))) = K(1 / x,y * ((1 / x) \ z)). [hyper(228,a,10963,a,b,12395,a(flip)),flip(a)]. given #11287 (H,wt=27): 12397 K(T(1 / x,y),(1 / y) * (T(1 / x,y) \ z)) = K(x \ 1,z * (y \ x)). [hyper(228,a,10781,a,b,12366,a(flip)),flip(a)]. given #11288 (H,wt=25): 12404 K(T(1 / x,y),y \ (T(1 / x,y) \ z)) = K(x \ 1,z * (y \ x)). [hyper(5787,a,12397,a)]. given #11289 (H,wt=21): 12405 K(1 / x,(1 / x) \ (y / z)) = K(x \ 1,y * (z \ x)). [hyper(228,a,10984,a(flip),b,12404,a(flip)),flip(a)]. given #11290 (H,wt=27): 12403 K(1 / x,(1 / x) \ (y / ((x * z) \ x))) = K(1 / x,y * ((x \ 1) \ z)). [hyper(228,a,5390,a(flip),b,12396,a)]. given #11291 (H,wt=27): 12406 K(1 / x,(1 / x) \ (y / ((x * z) \ x))) = K(x \ 1,y * ((x \ 1) \ z)). [hyper(228,a,2853,a(flip),b,12403,a)]. given #11292 (H,wt=25): 12407 K(x \ 1,y * (((x * z) \ x) \ x)) = K(x \ 1,y * ((x \ 1) \ z)). [hyper(228,a,12405,a(flip),b,12406,a(flip)),flip(a)]. given #11293 (H,wt=28): 12345 (x * (y * z)) \ K(y * x,T(y \ (x \ 1),x)) = L(z,y,x) \ (1 / (x * y)). [para(12338(a,2),6543(a,1,2))]. given #11294 (H,wt=26): 12408 (x * (y * z)) \ K(y * x,x \ (1 / y)) = L(z,y,x) \ (1 / (x * y)). [para(8647(a,1),12345(a,1,2))]. given #11295 (H,wt=26): 12409 (x * (y * z)) \ K(y * x,x \ (y \ 1)) = L(z,y,x) \ (1 / (x * y)). [para(5388(a,1),12408(a,1,2))]. given #11296 (H,wt=26): 12410 ((x * (y * z)) \ (y * x)) * (1 / (y * x)) = L(z,y,x) \ (1 / (x * y)). [hyper(228,a,4365,a(flip),b,12409,a(flip)),flip(a)]. given #11297 (H,wt=28): 12383 T(T(x,K(y,K(z,u))),K(z,z * u) * y) != w | T(x,y * K(z,z * u)) = w. [para(7781(a,1),12376(a,1,1,2))]. given #11298 (H,wt=29): 12392 K((x \ 1) * T((x \ 1) \ y,z),T(u,x)) = K((x \ 1) * T(y / (x \ 1),z),u). [hyper(8183,a,12344,a)]. given #11299 (H,wt=25): 12411 K(x \ T(x * y,z),T(u,x)) = K((x \ 1) * T(y / (x \ 1),z),u). [para(868(a,1),12392(a,1,1))]. given #11300 (H,wt=23): 12412 K((x \ 1) * T(y / (x \ 1),z),u) = K(x \ T(y * x,z),u). [hyper(7655,a,12411,a),flip(a)]. given #11301 (H,wt=26): 12413 K((x \ 1) * T(y / (x \ 1),z),u) != w | K(x \ T(y * x,z),u) = w. [para(12411(a,1),7655(a,1))]. given #11302 (H,wt=32): 12402 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(228,a,10844,a(flip),b,12401,a(flip))]. given #11303 (H,wt=25): 12414 R(T(x,y),z,R(x,u,w)) * (T(x,y) \ v5) = a(x,z,R(x,u,w)) * v5. [para(10450(a,1),12402(a,1,1)),flip(a)]. given #11304 (H,wt=30): 12416 (R(T(x,y),z,T(x,y)) * (T(x,y) \ u)) * w = (a(x,z,R(x,x \ u,w)) * u) * w. [para(12414(a,1),11848(a,2,1))]. given #11305 (H,wt=28): 12417 (R(T(x,y),z,T(x,y)) * (T(x,y) \ u)) * w = (R(a(x,z,x),u,w) * u) * w. [para(11839(a,1),12416(a,2,1,1))]. given #11306 (H,wt=26): 12419 (R(T(x,y),z,x) * (T(x,y) \ u)) * w = (R(a(x,z,x),u,w) * u) * w. [para(7058(a,1),12417(a,1,1,1))]. given #11307 (H,wt=26): 12421 (T(x,y) * (L(T(x,y),z,x) \ u)) * w = (R(a(x,z,x),u,w) * u) * w. [para(10309(a,1),12419(a,1,1))]. given #11308 (H,wt=20): 12422 (R(a(x,y,x),z,u) * z) * u = (z * a(x,y,x)) * u. [para(9020(a,1),12421(a,1,1)),flip(a)]. given #11309 (H,wt=27): 12424 (R(a(x,y,x),z,u) * z) * u != w * v5 | w \ ((z * a(x,y,x)) * u) = v5. [para(12422(a,2),437(a,1))]. given #11310 (H,wt=28): 12423 ((a(x,y,x) * z) * u) \ ((z * a(x,y,x)) * u) = a(R(a(x,y,x),z,u),z,u). [hyper(71,a,12422,a(flip),b,664,a)]. given #11311 (H,wt=19): 12425 a(R(a(x,y,x),z,u),z,u) = K(z,T(a(x,y,x),u)). [hyper(228,a,10947,a(flip),b,12423,a(flip))]. given #11312 (H,wt=17): 12426 a(R(a(x,y,x),z,u),z,u) = K(z,a(x,y,x)). [para(9767(a,1),12425(a,2,2))]. given #11313 (H,wt=12): 12427 a(R(a(x,y,x),z,u),z,u) = 1. [hyper(228,a,9772,a(flip),b,12426,a)]. given #11314 (H,wt=12): 12430 L(x,y,R(a(z,u,z),y,x)) = x. [hyper(33,a,12427,a)]. given #11315 (H,wt=31): 12431 (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(12430(a,1),11026(a,1,2))]. given #11316 (H,wt=23): 12432 (R(a(x,y,x),z,u) * (z * u)) / u = z * R(a(x,y,x),z,u). [para(9795(a,1),12431(a,1,1,2,1))]. given #11317 (H,wt=16): 12433 x * R(a(y,z,y),x,u) = a(y,z,y) * x. [hyper(490,a,12432,a),flip(a)]. given #11318 (H,wt=12): 12434 R(a(x,y,x),z,u) = a(x,y,x). [hyper(17,a,9764,a(flip),b,12433,a)]. given #11319 (H,wt=9): 12442 L(x,y,a(z,u,z)) = x. [para(12434(a,1),12430(a,1,3))]. given #11320 (H,wt=9): 12444 L(x,a(y,z,y),u) = x. [hyper(228,a,12271,a,b,12442,a(flip)),flip(a)]. given #11321 (H,wt=12): 12438 a(x,y,R(x,z,u)) = a(x,y,x). [hyper(228,a,11837,a(flip),b,12434,a(flip)),flip(a)]. given #11322 (H,wt=12): 12446 T(x,y * a(z,u,z)) = T(x,y). [hyper(228,a,12252,a(flip),b,12442,a(flip)),flip(a)]. given #11323 (H,wt=12): 12461 T(x,a(y,z,y) \ u) = T(x,u). [para(9763(a,1),12446(a,1,2)),flip(a)]. given #11324 (H,wt=11): 12462 T(x,a(y,z,y)) != u | u = x. [para(12461(a,1),5999(a,1))]. given #11325 (H,wt=13): 12452 K(L(x,a(y,z,y),u),w) = K(x,w). [hyper(228,a,11420,a(flip),b,12444,a(flip)),flip(a)]. given #11326 (H,wt=13): 12460 T(x,T(y,z) / z) = T(x,z \ y). [para(8898(a,1),12446(a,1,2))]. given #11327 (H,wt=14): 12443 T(x,a(y,z,y)) = L(x,u,a(w,v5,w)). [hyper(228,a,9766,a,b,12442,a),flip(a)]. given #11328 (H,wt=12): 12465 L(x,y,a(z,u,z)) != w | w = x. [para(12443(a,1),12462(a,1))]. given #11329 (H,wt=14): 12458 K(x,y * a(z,u,z)) = x \ T(x,y). [hyper(71,a,12446,a(flip),b,4705,a(flip)),flip(a)]. given #11330 (H,wt=12): 12467 K(x,y * a(z,u,z)) = K(x,y). [hyper(228,a,4649,a,b,12458,a)]. given #11331 (H,wt=12): 12469 K(x,a(y,z,y) \ u) = K(x,u). [para(9763(a,1),12467(a,1,2)),flip(a)]. given #11332 (H,wt=14): 12468 K(x,L(y,z,y) \ u) = K(x,y \ u). [para(9024(a,1),12467(a,1,2))]. given #11333 (H,wt=14): 12470 K(x,y * R(z,u,z)) = K(x,y * z). [para(9813(a,1),12467(a,1,2))]. given #11334 (H,wt=14): 12471 K(x,R(y,z,y) * u) = K(x,y * u). [para(9825(a,1),12467(a,1,2))]. given #11335 (H,wt=14): 12472 K(x,R(y,z,y) \ u) = K(x,y \ u). [para(4265(a,1),12468(a,1,2,1)),flip(a)]. given #11336 (H,wt=15): 12435 R(a(x,y,x),z,u) = L(a(x,y,x),w,v5). [hyper(228,a,12237,a,b,12434,a)]. given #11337 (H,wt=15): 12459 T(x,(y * z) * y) = T(x,y * (z * y)). [para(89(a,1),12446(a,1,2))]. given #11338 (H,wt=15): 12466 T(x,y * a(z,u,z)) != w | T(x,y) = w. [para(12252(a,1),12465(a,1)),flip(b)]. given #11339 (H,wt=15): 12480 R(a(x,y,x),z,u) != w | a(x,y,x) = w. [para(12435(a,2),334(a,1)),flip(b)]. given #11340 (H,wt=16): 12439 a(x,y * K(z,y),x) = L(a(x,y,x),y,z). [hyper(228,a,10084,a(flip),b,12434,a(flip))]. given #11341 (H,wt=13): 12482 a(x,y * K(z,y),x) = a(x,y,x). [hyper(228,a,12237,a(flip),b,12439,a)]. given #11342 (H,wt=11): 12487 a(x,T(y,z),x) = a(x,y,x). [para(4824(a,1),12482(a,1,2)),flip(a)]. given #11343 (H,wt=13): 12488 a(x,y / z,x) = a(x,z \ y,x). [para(4717(a,1),12482(a,1,2))]. given #11344 (H,wt=15): 12496 a(x,y / (z * y),x) = a(x,z \ 1,x). [hyper(228,a,12189,a(flip),b,12488,a)]. given #11345 (H,wt=16): 12463 a(x,y,x) \ z != u | z / a(x,y,x) = u. [para(115(a,1),12462(a,1)),flip(b)]. given #11346 (H,wt=16): 12485 a(x,y * K(z,y),x) != u | a(x,y,x) = u. [para(12439(a,2),12248(a,1))]. given #11347 (H,wt=16): 12498 a(x,y / z,x) != u | a(x,z \ y,x) = u. [para(4717(a,1),12485(a,1,2))]. given #11348 (H,wt=17): 12440 (a(x,y,x) * z) * u = a(x,y,x) * (z * u). [para(12434(a,1),109(a,1,1)),flip(a)]. given #11349 (H,wt=17): 12447 (a(x,y,x) * z) / u = a(x,y,x) * (z / u). [para(12442(a,1),506(a,1,2))]. given #11350 (H,wt=17): 12453 (x * a(y,z,y)) \ u = a(y,z,y) \ (x \ u). [hyper(228,a,222,a(flip),b,12444,a(flip)),flip(a)]. given #11351 (H,wt=17): 12454 (x * a(y,z,y)) * u = x * (a(y,z,y) * u). [para(12444(a,1),100(a,1,2))]. given #11352 (H,wt=9): 12503 R(x,a(y,z,y),u) = x. [hyper(4535,a,12454,a)]. given #11353 (H,wt=17): 12473 K(x,((y \ z) \ z) \ u) = K(x,T(y,z) \ u). [para(11906(a,1),12468(a,1,2,1)),flip(a)]. given #11354 (H,wt=17): 12474 K(x,y * ((z \ u) \ u)) = K(x,y * T(z,u)). [para(7440(a,1),12470(a,1,2,2))]. given #11355 (H,wt=17): 12476 K(x,((y \ z) \ z) * u) = K(x,T(y,z) * u). [para(7440(a,1),12471(a,1,2,1))]. given #11356 (H,wt=17): 12477 K(x,T(y,y \ z) \ u) = K(x,T(y,z) \ u). [para(4101(a,1),12472(a,1,2,1))]. given #11357 (H,wt=17): 12502 (a(x,y,x) * z) \ u = a(x,y,x) \ (z \ u). [hyper(228,a,9796,a,b,12453,a(flip)),flip(a)]. given #11358 (H,wt=16): 12512 K(x,(a(y,z,y) * u) \ w) = K(x,u \ w). [para(12502(a,2),12469(a,1,2))]. given #11359 (H,wt=17): 12509 K(x,y * T(z / u,z)) = K(x,y * (u \ z)). [para(64(a,1),12474(a,1,2,2,1)),flip(a)]. given #11360 (H,wt=17): 12510 K(x,T(y / z,y) * u) = K(x,(z \ y) * u). [para(64(a,1),12476(a,1,2,1,1)),flip(a)]. given #11361 (H,wt=17): 12514 K(x,T(y * z,y) \ u) = K(x,(z * y) \ u). [para(8896(a,1),12512(a,1,2,1))]. given #11362 (H,wt=17): 12515 K(x,((y \ z) * y) \ u) = K(x,T(z,y) \ u). [para(14(a,1),12514(a,1,2,1,1)),flip(a)]. given #11363 (H,wt=19): 12456 K(x,R(x,y,z) \ u) = K(x,u) * a(x,x \ u,x). [para(12438(a,1),11844(a,1,2)),flip(a)]. given #11364 (H,wt=14): 12516 K(x,R(x,y,z) \ u) = K(x,x \ u). [hyper(228,a,8905,a(flip),b,12456,a)]. given #11365 (H,wt=19): 12492 a(x,R(y / z,u,w),x) = a(x,R(z \ y,u,w),x). [para(187(a,1),12487(a,1,2)),flip(a)]. given #11366 (H,wt=19): 12511 K(x,T(y,y \ z) \ u) = K(x,((y \ z) \ z) \ u). [hyper(228,a,12473,a,b,12477,a)]. given #11367 (H,wt=20): 12518 K(x,x \ ((x * R(T(x,y),z,u)) / w)) = K(x,w \ x). [hyper(10130,a,12516,a),flip(a)]. given #11368 (H,wt=16): 12519 K(x,R(T(x,y),z,u) / w) = K(x,w \ x). [hyper(228,a,10971,a(flip),b,12518,a(flip)),flip(a)]. given #11369 (H,wt=14): 12520 K(x,y \ R(x,z,u)) = K(x,y \ x). [hyper(9277,a,12519,a)]. given #11370 (H,wt=17): 12524 K(R(x,y,z),u \ x) = K(x,R(u,y,z) \ x). [hyper(228,a,12036,a(flip),b,12520,a(flip)),flip(a)]. given #11371 (H,wt=21): 12506 K(x,((y \ z) \ z) \ u) = (w * K(T(y,z) \ u,x)) \ w. [hyper(228,a,5037,a,b,12473,a)]. given #11372 (H,wt=20): 12527 K(x,((y \ z) \ z) \ u) != w | K(x,T(y,z) \ u) = w. [para(12506(a,2),5085(a,1))]. given #11373 (H,wt=22): 12478 L(K(x,y \ (z \ u)),z \ u,z) = K(x,T(y * z,y) \ u). [para(12472(a,1),6369(a,1,1))]. given #11374 (H,wt=20): 12528 K(x,T(y * z,y) \ u) != w | K(x,(z * y) \ u) = w. [para(12478(a,1),6781(a,1))]. given #11375 (H,wt=22): 12513 L(K(x,y \ z),z,a(u,w,u)) = K(x,y \ (a(u,w,u) * z)). [hyper(6378,a,12512,a)]. given #11376 (H,wt=16): 12530 K(x,y \ (a(z,u,z) * w)) = K(x,y \ w). [hyper(12465,a,12513,a)]. given #11377 (H,wt=17): 12532 K(x,y \ T(z * u,z)) = K(x,y \ (u * z)). [para(8896(a,1),12530(a,1,2,2))]. given #11378 (H,wt=23): 12499 a(x,R(y / z,z,u),x) != w | a(x,(z * u) \ (y * u),x) = w. [para(110(a,2),12498(a,1,2))]. given #11379 (H,wt=23): 12508 K(x \ 1,y * T(x * z,x)) = K(x \ 1,y * ((x \ 1) \ z)). [hyper(228,a,12407,a(flip),b,12474,a(flip))]. given #11380 (H,wt=23): 12533 a(x,R(y \ z,y,u),x) != w | a(x,(y * u) \ (z * u),x) = w. [para(12492(a,1),12499(a,1))]. given #11381 (H,wt=24): 12437 ((a(x,y,x) * R(z,u,w)) * (u * w)) / ((z * u) * w) = a(x,y,x). [hyper(228,a,480,a,b,12434,a(flip)),flip(a)]. given #11382 (H,wt=24): 12490 a(x,T(y,z),x) = K(x * y,T(T(x,u),w)) * K(x,T(T(y,u),w)). [hyper(228,a,11262,a,b,12487,a)]. given #11383 (H,wt=19): 12535 K(x * T(y,z),T(x,u)) = K(x * y,T(T(x,u),z)). [hyper(10460,a,12490,a)]. given #11384 (H,wt=19): 12536 K(x * T(y,z),T(x,u)) = T(K(x * y,T(x,u)),z). [hyper(228,a,7152,a(flip),b,12535,a)]. given #11385 (H,wt=23): 12538 T(K(x * y,x) * K(x,K(y,z)),u) = K(x * T(y,u),T(x,z)). [para(8008(a,2),12536(a,2,1)),flip(a)]. given #11386 (H,wt=23): 12539 T(K(x * y,y) * K(y,K(x,z)),u) = K(y * T(x,u),T(y,z)). [para(5647(a,2),12538(a,1,1,1))]. given #11387 (H,wt=25): 12481 T(x,(y / z) * ((z * K(z \ y,z)) * (y / z))) = T(x,y * (z \ y)). [para(5805(a,1),12459(a,1,2)),flip(a)]. given #11388 (H,wt=15): 12541 T(x,(y / z) * y) = T(x,y * (z \ y)). [para(4628(a,1),12481(a,1,2,2))]. given #11389 (H,wt=25): 12484 L(a(x,L(y,z,u),x),L(y,z,u),w) = a(x,L(y * K(w,y),z,u),x). [para(5819(a,1),12439(a,1,2)),flip(a)]. given #11390 (H,wt=25): 12526 K(x,R(R(x / y,y,L(K(z,x),u,w)),v5,v6) \ x) = K(R(x,v5,v6),y). [hyper(228,a,11692,a(flip),b,12524,a(flip))]. given #11391 (H,wt=21): 12543 R(R(K(x,y),y,L(K(z,x),u,w)),v5,v6) = K(R(x,v5,v6),y). [hyper(228,a,11770,a(flip),b,12526,a(flip)),flip(a)]. given #11392 (H,wt=13): 12544 R(K(x,y),z,u) = K(R(x,z,u),y). [para(5702(a,1),12543(a,1,1))]. given #11393 (H,wt=12): 12545 R(K(x,y),K(x,z),u) = K(x,y). [para(4028(a,1),12544(a,2,1))]. given #11394 (H,wt=19): 12552 (K(x,y) * K(x,z)) * u = K(x,y) * (K(x,z) * u). [para(12545(a,1),109(a,1,1)),flip(a)]. given #11395 (H,wt=10): 12553 L(x,K(y,z),K(y,u)) = x. [hyper(445,a,12552,a)]. given #11396 (H,wt=19): 12555 (K(x,y) * K(x,z)) \ u = K(z,x) * (K(y,x) * u). [hyper(228,a,6292,a(flip),b,12553,a(flip)),flip(a)]. given #11397 (H,wt=20): 12548 R(K(x,K(y,z)),u,w) != v5 | K(y,K(z,R(x,u,w))) = v5. [para(12544(a,2),7760(a,1))]. given #11398 (H,wt=20): 12549 K(x,R(K(y,z),u,w)) != v5 | K(x,K(z,R(y,u,w))) = v5. [para(12544(a,2),7771(a,1,2))]. given #11399 (H,wt=23): 12550 R(x * K(R(y,z,u),x),w,x) \ R(x,w,x) = R(K(x,y),z,u). [para(12544(a,1),9737(a,1,1,1,2))]. given #11400 (H,wt=23): 12557 K(x,R(y,z,u)) * (R(x,w,x) \ R(x,w,x)) = R(K(x,y),z,u). [hyper(11679,a,12550,a)]. given #11401 (H,wt=15): 12558 K(x,R(y,z,u)) * 1 = R(K(x,y),z,u). [para(52(a,1),12557(a,1,2))]. given #11402 (H,wt=13): 12559 R(K(x,y),z,u) = K(x,R(y,z,u)). [hyper(82,a,12558,a),flip(a)]. given #11403 (H,wt=13): 12562 K(R(x,y,z),u) = K(x,R(u,y,z)). [hyper(228,a,12544,a(flip),b,12559,a(flip)),flip(a)]. given #11404 (H,wt=12): 12570 K(R(x,y,y \ 1),z) = K(x,z). [hyper(228,a,12390,a(flip),b,12562,a)]. given #11405 (H,wt=16): 12561 R(K(x,y),z,u) != w | K(x,R(y,z,u)) = w. [para(12558(a,1),81(a,1)),flip(b)]. given #11406 (H,wt=16): 12573 K(R(x,y,z),u) != w | K(x,R(u,y,z)) = w. [para(12544(a,1),12561(a,1))]. given #11407 (H,wt=17): 12567 K(x,y) * K(y,R(x,z,u)) = a(K(y,x),z,u). [para(12559(a,1),12050(a,1,2))]. given #11408 (H,wt=15): 12574 a(K(x,y),z * y,u) = a(K(x,y),z,u). [hyper(228,a,12055,a(flip),b,12567,a(flip)),flip(a)]. given #11409 (H,wt=19): 12575 K(a(K(x,y),z * y,u),w) = a(K(y,K(x,w)),z,u). [para(12574(a,2),12089(a,2,1)),flip(a)]. given #11410 (H,wt=19): 12576 a(K(x,K(y,z)),u * y,w) = a(K(y,K(x,z)),u,w). [hyper(228,a,12091,a,b,12575,a(flip)),flip(a)]. given #11411 (H,wt=20): 12572 R(K(x,K(y,z)),u,w) != v5 | K(y,R(K(x,z),u,w)) = v5. [para(7723(a,1),12561(a,1,1))]. given #11412 (H,wt=22): 12569 K(R(x,y,z),R(x * y,y * z,u)) = K(x,R(x * y,z,u)). [hyper(6971,a,12562,a),flip(a)]. given #11413 (H,wt=22): 12577 K(x,R(R(x * y,y * z,u),y,z)) = K(x,R(x * y,z,u)). [hyper(12573,a,12569,a)]. given #11414 (H,wt=24): 12568 T(x,x * y) * a(K(x,y),z,u) = L(x * K(x,R(y,z,u)),y,x). [para(12559(a,1),12074(a,2,1,2))]. given #11415 (H,wt=22): 12578 T(x,x * y) * a(K(x,y),z,u) = L(T(x,R(y,z,u)),y,x). [para(4705(a,2),12568(a,2,1))]. given #11416 (H,wt=25): 12540 K(x,K(y,T(z,u))) * K(y * x,T(x,u)) = K(x * T(y,u),T(x,z)). [hyper(12203,a,12539,a)]. given #11417 (H,wt=15): 12579 K(x * T(y,z),x) = K(y * x,T(x,z)). [hyper(17,a,8473,a,b,12540,a),flip(a)]. given #11418 (H,wt=19): 12580 1 / (x \ K(y * x,T(x,z))) = T(x,x * T(y,z)). [para(12579(a,1),4806(a,2,2,2)),flip(a)]. given #11419 (H,wt=15): 12581 T(x,T(y * x,z)) = T(x,x * T(y,z)). [hyper(7234,a,12580,a)]. given #11420 (H,wt=15): 12582 T(x,T(x * y,z)) = T(x,x * T(y,z)). [hyper(12363,a,12581,a)]. given #11421 (H,wt=25): 12556 K(x,y) * (K(z,y) * K(y,y \ 1)) = ((y \ K(y,z)) * T(y,x)) \ 1. [hyper(228,a,6582,a(flip),b,12555,a(flip))]. given #11422 (H,wt=23): 12584 ((x \ K(x,y)) * T(x,z)) \ 1 = K(z,x) * (x * (K(y,x) / x)). [para(2952(a,1),12556(a,1,2)),flip(a)]. given #11423 (H,wt=23): 12585 ((x \ K(x,y)) * T(x,z)) \ 1 = x * (K(z,x) * (K(y,x) / x)). [hyper(228,a,5164,a(flip),b,12584,a)]. given #11424 (H,wt=21): 12586 ((x \ K(x,y)) * T(x,z)) \ 1 = x * (K(y,x) / T(x,z)). [para(8265(a,1),12585(a,2,2))]. given #11425 (H,wt=25): 12583 T(x / T(y,x),z) * T(y,T(y * (y \ x),z)) = y * T(y \ x,z). [para(12582(a,2),11545(a,1,2))]. given #11426 (H,wt=21): 12588 T(x / T(y,x),z) * T(y,T(x,z)) = y * T(y \ x,z). [para(14(a,1),12583(a,1,2,2,1))]. given #11427 (H,wt=17): 12589 x * K(T(x,y) / y,z) = y * T(y \ x,z). [hyper(228,a,9600,a(flip),b,12588,a(flip)),flip(a)]. given #11428 (H,wt=13): 12590 K(T(x,y) / y,z) = K(y \ x,z). [hyper(17,a,5241,a(flip),b,12589,a)]. given #11429 (H,wt=17): 12591 T(x * K(x / y,z),x) = x * K(y \ x,z). [para(12590(a,1),9854(a,2,2))]. given #11430 (H,wt=26): 12592 (x \ (x * K(y \ x,z))) \ (x * K(x / y,z)) = L(x,K(y \ x,z),x). [para(12591(a,1),9930(a,1,1,2))]. given #11431 (H,wt=22): 12593 K(x \ y,z) \ (y * K(y / x,z)) = L(y,K(x \ y,z),y). [para(13(a,1),12592(a,1,1))]. given #11432 (H,wt=10): 12594 L(x,K(y \ x,z),x) = x. [hyper(8029,a,12593,a)]. given #11433 (H,wt=8): 12596 L(x,K(y,z),x) = x. [para(64(a,1),12594(a,1,2,1))]. given #11434 (H,wt=13): 12597 T(K(x,y) * z,z) = z * K(x,y). [hyper(228,a,10104,a(flip),b,12596,a(flip)),flip(a)]. given #11435 (H,wt=19): 12601 T(x * T(x \ y,z),y) = y * K((x / y) \ 1,z). [para(4956(a,1),12597(a,1,1))]. given #11436 (H,wt=17): 12602 K((T(x,y) \ y) \ 1,z) = K((y / x) \ 1,z). [hyper(6535,a,12601,a)]. given #11437 (H,wt=27): 12534 (R(x * a(y,x,y),z,u) * (z * u)) / ((x * z) * u) = a(y,R(x,z,u),y). [para(9781(a,1),12437(a,1,1,1))]. given #11438 (H,wt=24): 12603 (((x * a(y,x,y)) * z) * u) / ((x * z) * u) = a(y,R(x,z,u),y). [para(109(a,1),12534(a,1,1))]. given #11439 (H,wt=24): 12604 ((x * (a(y,x,y) * z)) * u) / ((x * z) * u) = a(y,R(x,z,u),y). [para(12454(a,1),12603(a,1,1,1))]. given #11440 (H,wt=26): 12605 ((x * (a(y,x,y) * (x \ z))) * u) / (z * u) = a(y,R(x,x \ z,u),y). [para(14(a,1),12604(a,1,2,1))]. given #11441 (H,wt=22): 12606 a(x,R(y,y \ z,u),x) = ((a(x,y,x) * z) * u) / (z * u). [para(11510(a,1),12605(a,1,1,1)),flip(a)]. given #11442 (H,wt=17): 12607 a(x,R(y,y \ z,u),x) = R(a(x,y,x),z,u). [hyper(228,a,30,a,b,12606,a)]. given #11443 (H,wt=17): 12608 R(a(x,y,x),y * z,u) = a(x,R(y,z,u),x). [para(13(a,1),12607(a,1,2,2)),flip(a)]. given #11444 (H,wt=12): 12609 a(x,R(y,z,u),x) = a(x,y,x). [hyper(12480,a,12608,a),flip(a)]. given #11445 (H,wt=17): 12610 a(x,(y * z) \ (u * z),x) = a(x,y \ u,x). [hyper(12533,a,12609,a)]. given #11446 (H,wt=18): 12613 R(T(x,y),R(z,u,w),x) = a(x,z,x) * T(x,y). [para(12609(a,1),8913(a,1,1)),flip(a)]. given #11447 (H,wt=16): 12615 R(T(x,y),R(z,u,w),x) = R(T(x,y),z,x). [hyper(228,a,8913,a(flip),b,12613,a)]. given #11448 (H,wt=20): 12612 a(x,y,x) * (R(y,z,u) * x) = T(x * R(y,z,u),x). [para(12609(a,1),8896(a,1,1))]. given #11449 (H,wt=18): 12617 R(x,y,z) * R(u,x,u) = T(u * R(x,y,z),u). [hyper(9818,a,12612,a)]. given #11450 (H,wt=23): 12614 L(x,(y * z) \ (u * z),x) = (w / x) \ (a(x,y \ u,x) \ w). [para(12610(a,1),9789(a,1,2,1)),flip(a)]. given #11451 (H,wt=17): 12619 L(x,(y * z) \ (u * z),x) = L(x,y \ u,x). [hyper(228,a,9789,a(flip),b,12614,a)]. given #11452 (H,wt=24): 12616 R(x,y,z) * R(T(u,x * u),x,u) = T(u * R(x,y,z),u * x). [para(12615(a,1),12215(a,1,2))]. given #11453 (H,wt=19): 12620 T(x * R(y,z,u),x * y) = R(y,z,u) * T(x,y). [para(738(a,1),12616(a,1,2)),flip(a)]. given #11454 (H,wt=26): 12622 (x * R(y,z,u)) / (R(y,z,u) * T(x,y)) = K(x * y,x * R(y,z,u)). [para(12620(a,1),4645(a,2,2)),flip(a)]. given #11455 (H,wt=26): 12623 T(K(x,y) * K(y,R(x,z,u)),R(x,z,u)) = K(y * x,y * R(x,z,u)). [hyper(228,a,12163,a(flip),b,12622,a(flip)),flip(a)]. given #11456 (H,wt=24): 12624 T(a(K(x,y),z * y,u),R(y,z,u)) = K(x * y,x * R(y,z,u)). [para(12055(a,1),12623(a,1,1))]. given #11457 (H,wt=24): 12625 K(x * y,x * R(y,z,u)) = a(K(x,T(y,R(y,z,u))),z * y,u). [hyper(228,a,12314,a,b,12624,a(flip))]. given #11458 (H,wt=19): 12626 K(x * y,x * R(y,z,u)) = a(K(x,y),z * y,u). [para(602(a,1),12625(a,2,1,2))]. given #11459 (H,wt=21): 12628 K(x,(x / y) * R(y,z,u)) = a(K(x / y,y),z * y,u). [para(16(a,1),12626(a,1,1))]. given #11460 (H,wt=21): 12629 K(x,(y \ x) * R(y,z,u)) = a(K(x / y,y),z * y,u). [hyper(228,a,8702,a(flip),b,12628,a(flip)),flip(a)]. given #11461 (H,wt=21): 12630 K(x,x * (y \ R(y,z,u))) = a(K(x / y,y),z * y,u). [hyper(228,a,12381,a(flip),b,12629,a(flip)),flip(a)]. given #11462 (H,wt=21): 12631 K(x,x * (y \ R(y,z,u))) = a(K(y \ x,y),z * y,u). [para(4882(a,1),12630(a,2,1))]. given #11463 (H,wt=27): 12618 (R(x,y,z) * R(u,x,u)) \ ((u * R(x,y,z)) * u) = T(u,u * R(x,y,z)). [para(12617(a,2),3926(a,1,1))]. given #11464 (H,wt=23): 12632 L(T(x,R(y,z,u)),y,T(x,R(y,z,u))) = T(x,x * R(y,z,u)). [hyper(228,a,10290,a(flip),b,12618,a(flip)),flip(a)]. given #11465 (H,wt=27): 12627 R(K(x * y,x * R(y,z,u)),x * R(y,z,u),w) = a(K(x,y),z * y,u). [hyper(6929,a,12626,a)]. given #11466 (H,wt=25): 12633 R(a(K(x,y),z * y,u),x * R(y,z,u),w) = a(K(x,y),z * y,u). [para(12626(a,1),12627(a,1,1))]. given #11467 (H,wt=29): 12501 (a(x,y,x) * (z * u)) \ ((a(x,y,x) * z) * (u * w)) = L(w,u,a(x,y,x) * z). [para(12440(a,1),28(a,2,1)),flip(a)]. given #11468 (H,wt=29): 12505 T((a(x,y,x) * z) \ (u * z),a(x,y,x)) = T(a(x,y,x) \ u,a(x,y,x) * z). [hyper(6538,a,12503,a)]. given #11469 (H,wt=24): 12635 T(a(x,y,x) \ z,a(x,y,x) * u) = (a(x,y,x) * u) \ (z * u). [hyper(12462,a,12505,a)]. given #11470 (H,wt=24): 12636 T(a(x,y,x) \ z,u * a(x,y,x)) = (a(x,y,x) * u) \ (z * u). [hyper(9797,a,12635,a)]. given #11471 (H,wt=24): 12638 T(a(x,y,x) \ z,u * a(x,y,x)) = a(x,y,x) \ (u \ (z * u)). [hyper(228,a,12502,a(flip),b,12636,a)]. given #11472 (H,wt=22): 12639 T(a(x,y,x) \ z,u * a(x,y,x)) = a(x,y,x) \ T(z,u). [para(32(a,2),12638(a,2,2))]. given #11473 (H,wt=17): 12640 a(x,y,x) \ T(z,u) = T(a(x,y,x) \ z,u). [hyper(12466,a,12639,a),flip(a)]. given #11474 (H,wt=22): 12642 K(x,y) * T(a(x,y,x) \ z,u) = K(x,x * y) * T(z,u). [para(12640(a,1),9483(a,1,2))]. given #11475 (H,wt=22): 12643 K(x,x * y) * T(a(x,y,x) * z,u) = K(x,y) * T(z,u). [para(13(a,1),12642(a,1,2,1)),flip(a)]. given #11476 (H,wt=17): 12644 T(a(x,y,x) * z,u) = a(x,y,x) * T(z,u). [hyper(9484,a,12643,a),flip(a)]. given #11477 (H,wt=17): 12646 T(x * a(y,z,y),u) = a(y,z,y) * T(x,u). [para(9764(a,1),12644(a,1,1))]. given #11478 (H,wt=17): 12647 a(x,y,x) \ T(z * a(x,y,x),u) = T(z,u). [hyper(71,a,12646,a,b,xx)]. given #11479 (H,wt=19): 12648 a(x,y,x) \ T(z * a(x,y,x),u) = z * K(z,u). [hyper(228,a,4705,a(flip),b,12647,a)]. given #11480 (H,wt=12): 12650 K(x * a(y,z,y),u) = K(x,u). [hyper(9801,a,12648,a)]. given #11481 (H,wt=12): 12652 K(a(x,y,x) * z,u) = K(z,u). [para(9764(a,2),12650(a,1,1))]. given #11482 (H,wt=18): 12655 K(L(x,a(y,z,y),u),w) = K(a(v5,v6,v5) * x,w). [hyper(228,a,12452,a,b,12652,a),flip(a)]. given #11483 (H,wt=15): 12657 K(a(x,y,x) * z,u) != w | K(z,u) = w. [para(12655(a,1),7373(a,1))]. given #11484 (H,wt=15): 12658 K(x * a(y,z,y),u) != w | K(x,u) = w. [para(9764(a,1),12657(a,1,1))]. given #11485 (H,wt=16): 12659 K(T(x,y) / y,z) != u | K(y \ x,z) = u. [para(8898(a,1),12658(a,1,1))]. given #11486 (H,wt=16): 12660 K(x / T(y,x),z) != u | K(y \ x,z) = u. [para(3937(a,1),12659(a,1,1))]. given #11487 (H,wt=24): 12649 a(x,y,x) * T(z,u) != w * v5 | w \ T(z * a(x,y,x),u) = v5. [para(12647(a,1),374(a,1,2))]. given #11488 (H,wt=29): 12634 (a(x,y,x) * (z * u)) \ (a(x,y,x) * (z * (u * w))) = L(w,u,a(x,y,x) * z). [para(12440(a,1),12501(a,1,2))]. given #11489 (H,wt=22): 12661 L(L(x,y,z),z * y,a(u,w,u)) = L(x,y,a(u,w,u) * z). [hyper(769,a,12634,a)]. given #11490 (H,wt=14): 12662 L(x,y,a(z,u,z) * w) = L(x,y,w). [hyper(12465,a,12661,a)]. given #11491 (H,wt=14): 12664 L(x,y,a(z,u,z) \ w) = L(x,y,w). [para(14(a,1),12662(a,1,3)),flip(a)]. given #11492 (H,wt=15): 12665 L(x,y,K(z \ u,z)) = L(x,y,K(u,z)). [para(8871(a,1),12664(a,1,3))]. given #11493 (H,wt=10): 12666 L(x,y / z,K(y,z)) = x. [hyper(7272,a,12665,a)]. given #11494 (H,wt=17): 12667 K(x,y) * ((x / y) * z) = (x / T(y,x)) * z. [para(12666(a,1),5209(a,1,2)),flip(a)]. given #11495 (H,wt=17): 12668 K(x,y) * ((y / T(x,y)) * z) = (y / x) * z. [hyper(5071,a,12667,a)]. given #11496 (H,wt=12): 12669 R(K(x,y),x \ y,z) = K(x,y). [hyper(9199,a,12668,a)]. given #11497 (H,wt=14): 12670 R(K(x,x * y),y,z) = K(x,x * y). [para(13(a,1),12669(a,1,2))]. given #11498 (H,wt=16): 12672 K(x,R(y \ 1,y,z) \ x) = K(x,x * y). [hyper(228,a,11766,a,b,12670,a(flip)),flip(a)]. given #11499 (H,wt=18): 12673 T(x,R(y \ 1,y,z) \ x) = x * K(x,x * y). [para(12670(a,1),10582(a,2,2))]. given #11500 (H,wt=16): 12676 T(x,R(y \ 1,y,z) \ x) = T(x,x * y). [hyper(228,a,4705,a,b,12673,a)]. given #11501 (H,wt=15): 12678 T(x,(y / (z * y)) \ x) = T(x,x * z). [hyper(9954,a,12676,a)]. given #11502 (H,wt=15): 12679 T(x,(y / z) \ x) = T(x,x * (z / y)). [para(16(a,1),12678(a,1,2,1,2))]. given #11503 (H,wt=15): 12680 T(x,(y * x) / z) = T(x,x * (y / z)). [hyper(228,a,8580,a,b,12679,a(flip)),flip(a)]. given #11504 (H,wt=17): 12681 x * K(x,x * (y / z)) = T(x,(y * x) / z). [hyper(228,a,4705,a(flip),b,12680,a),flip(a)]. given #11505 (H,wt=15): 12682 K(x,(y * x) / z) = K(x,x * (y / z)). [hyper(17,a,4705,a(flip),b,12681,a),flip(a)]. given #11506 (H,wt=15): 12683 K(x,(y / z) \ x) = K(x,x * (z / y)). [hyper(8380,a,12682,a)]. given #11507 (H,wt=23): 12684 (x * K(y,y * (z / u))) / (y \ x) = T(y,T((z * y) / u,x)). [para(12682(a,1),7883(a,1,1,2))]. given #11508 (H,wt=19): 12686 T(x,T((y * x) / z,u)) = T(x,T(x * (y / z),u)). [hyper(7888,a,12684,a),flip(a)]. given #11509 (H,wt=19): 12687 T(x,T(y / (x \ z),u)) = T(x,T(x * (y / z),u)). [hyper(228,a,8607,a(flip),b,12686,a(flip)),flip(a)]. given #11510 (H,wt=19): 12688 T(x,T((y / z) \ x,u)) = T(x,T(x * (z / y),u)). [hyper(9657,a,12687,a)]. given #11511 (H,wt=23): 12685 R(K(x,x * (y / z)),x * u,w) = K(R(x,u,w),(z / y) \ x). [para(12683(a,1),6734(a,1,1))]. given #11512 (H,wt=21): 12689 K(R(x,y,z),(u / w) \ x) = K(R(x,y,z),x * (w / u)). [hyper(228,a,6734,a(flip),b,12685,a(flip))]. given #11513 (H,wt=24): 12675 R(K(x,x * y),y * z,u) = K(x,((z * u) / ((y * z) * u)) \ x). [para(12672(a,1),11771(a,1,1))]. given #11514 (H,wt=24): 12691 R(K(x,x * y),y * z,u) = K(x,x * (((y * z) * u) / (z * u))). [hyper(228,a,12683,a(flip),b,12675,a)]. given #11515 (H,wt=19): 12693 R(K(x,x * y),y * z,u) = K(x,x * R(y,z,u)). [para(30(a,2),12691(a,2,2,2))]. given #11516 (H,wt=19): 12694 K(x,R(x * y,y * z,u)) = K(x,x * R(y,z,u)). [hyper(12561,a,12693,a)]. given #11517 (H,wt=25): 12690 K(R(x,y,z),T(x * T(u,w),w)) = K(R(x,y,z),x * (w / (u \ w))). [hyper(228,a,12020,a(flip),b,12689,a(flip)),flip(a)]. given #11518 (H,wt=21): 12695 K(R(x,y,z),T(x * T(u,w),w)) = K(R(x,y,z),x * u). [para(61(a,1),12690(a,2,2,2))]. given #11519 (H,wt=20): 12696 R(K(R(x,y,z),x * u),u,w) = K(R(x,y,z),x * u). [hyper(228,a,12019,a,b,12695,a(flip)),flip(a)]. given #11520 (H,wt=20): 12698 R(K(x,R(x * y,z,u)),y,w) = K(R(x,z,u),x * y). [para(12562(a,1),12696(a,1,1))]. given #11521 (H,wt=20): 12699 K(x,R(R(x * y,z,u),y,w)) = K(R(x,z,u),x * y). [hyper(12561,a,12698,a)]. given #11522 (H,wt=20): 12700 K(x,R(R(x * y,z,u),y,w)) = K(x,R(x * y,z,u)). [hyper(228,a,12562,a(flip),b,12699,a)]. given #11523 (H,wt=19): 12701 K(x,R(x * y,y * z,u)) = K(x,R(x * y,z,u)). [hyper(228,a,12577,a(flip),b,12700,a(flip))]. given #11524 (H,wt=17): 12703 K(x,R(x * y,z,u)) = K(x,x * R(y,z,u)). [hyper(228,a,12694,a(flip),b,12701,a(flip))]. given #11525 (H,wt=19): 12704 K(x,R(x * y,z,u)) * x = T(x,x * R(y,z,u)). [para(12703(a,2),4712(a,2,1)),flip(a)]. given #11526 (H,wt=17): 12705 T(x,R(x * y,z,u)) = T(x,x * R(y,z,u)). [hyper(4713,a,12704,a)]. given #11527 (H,wt=23): 12706 L(T(x,R(y,z,u)),y,T(x,R(y,z,u))) = T(x,R(x * y,z,u)). [hyper(228,a,12632,a,b,12705,a),flip(a)]. given #11528 (H,wt=18): 12707 L(T(x,R(y,z,u)),y,x) = T(x,R(x * y,z,u)). [hyper(228,a,10280,a(flip),b,12706,a(flip)),flip(a)]. given #11529 (H,wt=21): 12708 T(x,x * y) * a(K(x,y),z,u) = T(x,R(x * y,z,u)). [hyper(228,a,12578,a,b,12707,a(flip)),flip(a)]. given #11530 (H,wt=30): 12448 R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = ((a(x,y,x) * (z * u)) * w) / (u * w). [para(12442(a,1),448(a,1,2,1)),flip(a)]. given #11531 (H,wt=30): 12711 R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = (a(x,y,x) * ((z * u) * w)) / (u * w). [para(12440(a,1),12448(a,2,1))]. given #11532 (H,wt=30): 12712 R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = a(x,y,x) * (((z * u) * w) / (u * w)). [hyper(228,a,12447,a(flip),b,12711,a)]. given #11533 (H,wt=25): 12713 R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = a(x,y,x) * R(z,u,w). [para(30(a,2),12712(a,2,2))]. given #11534 (H,wt=19): 12714 R(a(x,y,x) * z,u,w) = a(x,y,x) * R(z,u,w). [para(12442(a,1),12713(a,1,2))]. given #11535 (H,wt=31): 12500 (a(x,y,x) * (z * (u * w))) \ (((a(x,y,x) * z) * u) * w) = a(a(x,y,x) * z,u,w). [para(12440(a,1),24(a,2,1)),flip(a)]. given #11536 (H,wt=31): 12542 (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) = a(u,L(z * K(x * y,z),y,x),u). [hyper(228,a,11267,a(flip),b,12484,a(flip)),flip(a)]. given #11537 (H,wt=30): 12717 (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) = a(u,(x * (y * z)) / (x * y),u). [para(4842(a,1),12542(a,2,2))]. given #11538 (H,wt=25): 12718 L(L(a(x,y,x),y,z),z * y,u) = a(x,(u * (z * y)) / (u * z),x). [hyper(8902,a,12717,a)]. given #11539 (H,wt=22): 12719 L(a(x,y,x),z * y,u) = a(x,(u * (z * y)) / (u * z),x). [para(12237(a,1),12718(a,1,1))]. given #11540 (H,wt=22): 12720 L(a(x,y,x),z * y,u) = a(x,(u * z) \ (u * (z * y)),x). [hyper(228,a,12488,a(flip),b,12719,a)]. given #11541 (H,wt=17): 12722 L(a(x,y,x),z * y,u) = a(x,L(y,z,u),x). [para(28(a,2),12720(a,2,2))]. given #11542 (H,wt=12): 12723 a(x,L(y,z,u),x) = a(x,y,x). [hyper(12248,a,12722,a),flip(a)]. given #11543 (H,wt=14): 12726 R(x,L(y,z,u),x) = x * a(x,y,x). [para(12723(a,1),8880(a,1,2)),flip(a)]. given #11544 (H,wt=12): 12728 R(x,L(y,z,u),x) = R(x,y,x). [hyper(228,a,8880,a(flip),b,12726,a)]. given #11545 (H,wt=14): 12727 L(x,L(y,z,u),x) = a(x,y,x) \ x. [para(12723(a,1),9012(a,1,1)),flip(a)]. given #11546 (H,wt=12): 12730 L(x,L(y,z,u),x) = L(x,y,x). [hyper(228,a,9012,a(flip),b,12727,a)]. given #11547 (H,wt=17): 12725 a(x,(y * z) \ u,x) = a(x,z \ (y \ u),x). [para(222(a,1),12723(a,1,2))]. given #11548 (H,wt=17): 12731 L(x,L(y,z,u) \ y,x) = L(x,a(u,z,y),x). [para(1703(a,2),12730(a,1,2)),flip(a)]. given #11549 (H,wt=31): 12716 (a(x,y,x) * (z * (u * w))) \ ((a(x,y,x) * (z * u)) * w) = a(a(x,y,x) * z,u,w). [para(12440(a,1),12500(a,1,2,1))]. given #11550 (H,wt=31): 12732 (a(x,y,x) * (z * (u * w))) \ (a(x,y,x) * ((z * u) * w)) = a(a(x,y,x) * z,u,w). [para(12440(a,1),12716(a,1,2))]. given #11551 (H,wt=24): 12733 L(a(x,y,z),x * (y * z),a(u,w,u)) = a(a(u,w,u) * x,y,z). [hyper(771,a,12732,a)]. given #11552 (H,wt=14): 12734 a(a(x,y,x) * z,u,w) = a(z,u,w). [hyper(12465,a,12733,a)]. given #11553 (H,wt=14): 12736 a(a(x,y,x) \ z,u,w) = a(z,u,w). [para(14(a,1),12734(a,1,1)),flip(a)]. given #11554 (H,wt=15): 12737 a(K(x * y,x),z,u) = a(K(y,x),z,u). [para(8891(a,1),12734(a,1,1))]. given #11555 (H,wt=15): 12738 a(K(x * y,y),z,u) = a(K(x,y),z,u). [para(8907(a,1),12734(a,1,1))]. given #11556 (H,wt=15): 12739 a(K(x,x \ y),z,u) = a(K(x,y),z,u). [para(8872(a,1),12734(a,1,1))]. given #11557 (H,wt=15): 12740 a(K(x \ y,x),z,u) = a(K(y,x),z,u). [para(8871(a,1),12736(a,1,1))]. given #11558 (H,wt=17): 12741 a(K(x \ 1,y),z,u) = a(K(x \ y,y),z,u). [para(5330(a,1),12737(a,1,1)),flip(a)]. given #11559 (H,wt=17): 12742 a(K(x,y \ x),z,u) = a(K(y,y \ x),z,u). [para(14(a,1),12738(a,1,1,1))]. given #11560 (H,wt=15): 12744 a(K(x,y \ x),z,u) = a(K(y,x),z,u). [hyper(228,a,12739,a(flip),b,12742,a)]. given #11561 (H,wt=15): 12746 a(K(x \ y,y),z,u) = a(K(y,x),z,u). [para(5107(a,1),12744(a,1,1)),flip(a)]. given #11562 (H,wt=15): 12747 a(K(x \ 1,y),z,u) = a(K(y,x),z,u). [hyper(228,a,12741,a,b,12746,a(flip)),flip(a)]. given #11563 (H,wt=15): 12748 a(K(x,y \ 1),z,u) = a(K(y,x),z,u). [para(2857(a,1),12747(a,1,1)),flip(a)]. given #11564 (H,wt=19): 12743 K(x,x * (y \ R(y,z,u))) = a(K(x,y),z * y,u). [hyper(228,a,12631,a,b,12740,a(flip)),flip(a)]. given #11565 (H,wt=21): 12750 K(x \ 1,y) * K(y,R(x,z,u) \ 1) = a(K(x,y),z,u). [hyper(228,a,12054,a,b,12748,a(flip)),flip(a)]. given #11566 (H,wt=21): 12751 a(K(x,R(y,z,u) \ 1),w,v5) = a(K(y,R(x,z,u)),w,v5). [para(12562(a,1),12748(a,2,1))]. given #11567 (H,wt=27): 12749 a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(R(y,x * z,u) \ 1,x),w,v5). [para(10989(a,2),12747(a,2,1)),flip(a)]. given #11568 (H,wt=25): 12755 a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(y \ 1,R(x,z,u)),w,v5). [para(6931(a,1),12749(a,2,1))]. given #11569 (H,wt=23): 12756 a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(R(x,z,u),y),w,v5). [hyper(228,a,12747,a(flip),b,12755,a)]. given #11570 (H,wt=21): 12757 a(K(x,R(y,x * z,u)),w,v5) = a(K(R(x,z,u),y),w,v5). [para(10989(a,1),12756(a,1,1))]. given #11571 (H,wt=21): 12758 a(K(x,R(y,x * z,u)),w,v5) = a(K(x,R(y,z,u)),w,v5). [para(12562(a,1),12757(a,2,1))]. given #11572 (H,wt=27): 12754 R(K(x \ 1,y) * K(y,R(x,z,u) \ 1),w,v5) = a(K(x,R(y,w,v5)),z,u). [hyper(228,a,12105,a,b,12751,a(flip)),flip(a)]. given #11573 (H,wt=19): 12759 a(K(x,R(y,z,u)),w,v5) = R(a(K(x,y),w,v5),z,u). [para(12750(a,1),12754(a,1,1)),flip(a)]. given #11574 (H,wt=25): 12760 a(K(x,R(y,x * R(y,z,u),w)),z * y,u) = a(K(x,y),z * y,u). [hyper(228,a,12633,a(flip),b,12759,a)]. given #11575 (H,wt=23): 12761 a(K(x,R(y,R(y,z,u),w)),z * y,u) = a(K(x,y),z * y,u). [hyper(228,a,12758,a(flip),b,12760,a(flip)),flip(a)]. given #11576 (H,wt=29): 12752 (x * K(y \ R(y,z,u),x)) \ L(x,y \ R(y,z,u),x) = a(K(x,y),z * y,u). [hyper(228,a,5870,a,b,12743,a(flip)),flip(a)]. given #11577 (H,wt=32): 12729 L(x,y,z) * T(R(u,x,u),R(u,L(x,y,z),u) * x) = T(T(u,u * x) * L(x,y,z),u). [para(12728(a,1),12207(a,1,2,1))]. given #11578 (H,wt=29): 12762 L(x,y,z) * T(R(u,x,u),R(u,x,u) * x) = T(T(u,u * x) * L(x,y,z),u). [para(12728(a,1),12729(a,1,2,2,1))]. given #11579 (H,wt=29): 12764 L(x,y,z) * T(R(u,x,u),x * R(u,x,u)) = T(T(u,u * x) * L(x,y,z),u). [para(4066(a,2),12762(a,1,2))]. given #11580 (H,wt=28): 12766 L(x,y,z) * T(R(u,x,u),T(u * x,u)) = T(T(u,u * x) * L(x,y,z),u). [para(4040(a,1),12764(a,1,2,2))]. given #11581 (H,wt=26): 12767 L(x,y,z) * T(R(u,x,u),x * u) = T(T(u,u * x) * L(x,y,z),u). [para(12358(a,1),12766(a,1,2))]. given #11582 (H,wt=21): 12768 T(T(x,x * y) * L(y,z,u),x) = L(y,z,u) * T(x,y). [para(736(a,1),12767(a,1,2)),flip(a)]. given #11583 (H,wt=19): 12769 T(x * L(y,z,u),x * y) = L(y,z,u) * T(x,y). [hyper(228,a,4278,a(flip),b,12768,a(flip)),flip(a)]. given #11584 (H,wt=26): 12770 (x * L(y,z,u)) \ (L(y,z,u) * T(x,y)) = K(x * L(y,z,u),x * y). [hyper(71,a,12769,a(flip),b,4705,a(flip))]. given #11585 (H,wt=21): 12772 K(x * L(y,z,u),x * y) = K(x,y) * K(L(y,z,u),x). [hyper(8868,a,12770,a),flip(a)]. given #11586 (H,wt=17): 12773 K(x * L(y,z,u),x * y) = a(u,z,K(x,y)). [hyper(228,a,11422,a(flip),b,12772,a)]. given #11587 (H,wt=22): 12774 K(x,(x / L(y,z,u)) * y) = a(u,z,K(x / L(y,z,u),y)). [para(16(a,1),12773(a,1,1))]. given #11588 (H,wt=22): 12775 K(x,y * (L(y,z,u) \ x)) = a(u,z,K(x / L(y,z,u),y)). [hyper(228,a,6963,a(flip),b,12774,a(flip)),flip(a)]. given #11589 (H,wt=19): 12776 K(x,y * (L(y,z,u) \ x)) = a(u,z,K(y \ x,y)). [para(11336(a,1),12775(a,2,3))]. given #11590 (H,wt=17): 12777 K(x,y * (L(y,z,u) \ x)) = a(u,z,K(x,y)). [hyper(228,a,11488,a(flip),b,12776,a)]. given #11591 (H,wt=17): 12779 K(x,x * (L(y,z,u) \ y)) = a(u,z,K(x,y)). [hyper(228,a,10721,a(flip),b,12777,a(flip)),flip(a)]. given #11592 (H,wt=21): 12782 K(x * (L(y,z,u) \ y),x) = w / (a(u,z,K(x,y)) * w). [para(12779(a,1),5040(a,1,2,1)),flip(a)]. given #11593 (H,wt=17): 12783 K(x * (L(y,z,u) \ y),x) = a(u,z,K(y,x)). [hyper(228,a,9966,a(flip),b,12782,a)]. given #11594 (H,wt=21): 12784 a(x,y,K(L(z,u,w) \ z,v5)) = a(x,y,a(w,u,K(z,v5))). [para(12783(a,1),11490(a,1,3)),flip(a)]. given #11595 (H,wt=21): 12785 a(x,y,K(z,u \ L(u,w,v5))) = a(x,y,a(v5,w,K(u,z))). [hyper(228,a,11505,a(flip),b,12784,a(flip)),flip(a)]. given #11596 (H,wt=24): 12781 K(x / (L(y,z,u) \ y),x) = a(u,z,K(x / (L(y,z,u) \ y),y)). [para(16(a,1),12779(a,1,2))]. given #11597 (H,wt=24): 12788 K((L(x,y,z) \ x) \ u,u) = a(z,y,K(u / (L(x,y,z) \ x),x)). [hyper(5796,a,12781,a)]. given #11598 (H,wt=24): 12789 K(x * (y \ L(y,z,u)),x) = a(u,z,K(x / (L(y,z,u) \ y),y)). [hyper(228,a,10731,a(flip),b,12788,a(flip)),flip(a)]. given #11599 (H,wt=21): 12790 K(x * (y \ L(y,z,u)),x) = a(u,z,K((y / x) \ y,y)). [para(11344(a,1),12789(a,2,3))]. given #11600 (H,wt=17): 12791 K(x * (y \ L(y,z,u)),x) = a(u,z,K(x,y)). [para(64(a,1),12790(a,2,3,1))]. given #11601 (H,wt=21): 12794 K(x,x * (y \ L(y,z,u))) = w / (a(u,z,K(x,y)) * w). [para(12791(a,1),5040(a,1,2,1)),flip(a)]. given #11602 (H,wt=17): 12795 K(x,x * (y \ L(y,z,u))) = a(u,z,K(y,x)). [hyper(228,a,9966,a(flip),b,12794,a)]. given #11603 (H,wt=19): 12796 T(x,x * (y \ L(y,z,u))) = x * a(u,z,K(y,x)). [para(12795(a,1),4705(a,2,2))]. given #11604 (H,wt=26): 12771 T(x * L(y,z,u),x * y) != w * v5 | w \ (L(y,z,u) * T(x,y)) = v5. [para(12769(a,2),437(a,1))]. given #11605 (H,wt=27): 12780 (x * K(L(y,z,u) \ y,x)) \ L(x,L(y,z,u) \ y,x) = a(u,z,K(x,y)). [hyper(228,a,5870,a,b,12779,a(flip)),flip(a)]. given #11606 (H,wt=25): 12797 (x * K(L(y,z,u) \ y,x)) \ L(x,a(u,z,y),x) = a(u,z,K(x,y)). [para(12731(a,1),12780(a,1,2))]. given #11607 (H,wt=25): 12798 K(x,L(y,z,u) \ y) * (x \ L(x,a(u,z,y),x)) = a(u,z,K(x,y)). [hyper(5672,a,12797,a)]. given #11608 (H,wt=23): 12799 x \ L(T(x,L(y,z,u) \ y),a(u,z,y),x) = a(u,z,K(x,y)). [hyper(228,a,7414,a(flip),b,12798,a(flip)),flip(a)]. given #11609 (H,wt=27): 12786 K(a(x,y,z),u) * a(x * y,z,a(x,y,K(z,u))) = K(L(z,y,x) \ z,u). [para(12784(a,1),9696(a,1,2))]. given #11610 (H,wt=17): 12800 K(L(x,y,z) \ x,u) = K(a(z,y,x),u) * 1. [para(9714(a,1),12786(a,1,2)),flip(a)]. given #11611 (H,wt=15): 12801 K(L(x,y,z) \ x,u) = K(a(z,y,x),u). [hyper(228,a,12,a(flip),b,12800,a)]. given #11612 (H,wt=19): 12803 K(x,L(y,z,u) \ y) = w / (K(a(u,z,y),x) * w). [para(12801(a,1),5040(a,1,2,1)),flip(a)]. given #11613 (H,wt=15): 12804 K(x,L(y,z,u) \ y) = K(x,a(u,z,y)). [hyper(228,a,5040,a(flip),b,12803,a)]. given #11614 (H,wt=17): 12805 T(x,L(y,z,u) \ y) = x * K(x,a(u,z,y)). [para(12804(a,1),4705(a,2,2))]. given #11615 (H,wt=15): 12806 T(x,L(y,z,u) \ y) = T(x,a(u,z,y)). [hyper(228,a,4705,a,b,12805,a)]. given #11616 (H,wt=21): 12807 x \ L(T(x,a(y,z,u)),a(y,z,u),x) = a(y,z,K(x,u)). [para(12806(a,1),12799(a,1,2,1))]. given #11617 (H,wt=15): 12808 K(x,x * a(y,z,u)) = a(y,z,K(x,u)). [hyper(4932,a,12807,a)]. given #11618 (H,wt=32): 12753 (x \ T(x * (y \ R(y,z,u)),x)) \ (x \ (x * (y \ R(y,z,u)))) = a(K(x,y),z * y,u). [hyper(228,a,5293,a(flip),b,12743,a(flip)),flip(a)]. given #11619 (H,wt=32): 12787 a(x,T(y,z),a(u,w,K(y,v5))) * K(v5,L(y \ L(y,w,u),y,x)) = K(v5,y \ L(y,w,u)). [para(12785(a,1),11685(a,1,1))]. given #11620 (H,wt=22): 12809 1 * K(x,L(y \ L(y,z,u),y,w)) = K(x,y \ L(y,z,u)). [para(9715(a,1),12787(a,1,1))]. given #11621 (H,wt=20): 12810 K(x,L(y \ L(y,z,u),y,w)) = K(x,y \ L(y,z,u)). [hyper(74,a,12809,a)]. given #11622 (H,wt=17): 12812 K(x,a(y,z,u) \ 1) = K(x,u \ L(u,z,y)). [hyper(228,a,6477,a(flip),b,12810,a(flip)),flip(a)]. given #11623 (H,wt=10): 12814 K(x,a(y,z,x) \ 1) = 1. [hyper(228,a,4600,a(flip),b,12812,a)]. given #11624 (H,wt=19): 12815 x * K(x,y \ L(y,z,u)) = T(x,a(u,z,y) \ 1). [para(12812(a,1),4705(a,2,2)),flip(a)]. given #11625 (H,wt=17): 12818 T(x,a(y,z,u) \ 1) = T(x,u \ L(u,z,y)). [hyper(4708,a,12815,a),flip(a)]. given #11626 (H,wt=22): 12817 K(x,K(y,z \ L(z,u,w))) != v5 | K(x,K(y,a(w,u,z))) = v5. [para(12812(a,1),8084(a,1,2))]. given #11627 (H,wt=27): 12819 L(T(x,a(y,z,u) \ 1),u \ L(u,z,y),x) = T(x,x * (u \ L(u,z,y))). [para(12818(a,2),673(a,1,1))]. given #11628 (H,wt=25): 12821 L(T(x,a(y,z,u) \ 1),u \ L(u,z,y),x) = x * a(y,z,K(u,x)). [hyper(228,a,12796,a(flip),b,12819,a)]. given #11629 (H,wt=33): 12379 K(((x * ((y \ 1) \ (y \ z))) / x) * (y \ 1),u) = K(y \ (1 * ((x * (1 \ z)) / x)),T(u,y)). [para(1969(a,1),12340(a,1,1)),flip(a)]. given #11630 (H,wt=31): 12822 K(((x * ((y \ 1) \ (y \ z))) / x) * (y \ 1),u) = K(y \ (1 * ((x * z) / x)),T(u,y)). [para(51(a,1),12379(a,2,1,2,2,1,2))]. given #11631 (H,wt=29): 12823 K(((x * ((y \ 1) \ (y \ z))) / x) * (y \ 1),u) = K(y \ ((x * z) / x),T(u,y)). [para(11(a,1),12822(a,2,1,2))]. given #11632 (H,wt=30): 12824 K(((x * ((y \ 1) \ (y \ z))) / x) * (y \ 1),u) != w | K(((x * z) / x) / y,u) = w. [para(12823(a,2),7964(a,1))]. given #11633 (H,wt=34): 12554 (K(x,y) * K(z,y)) * (K(y,x) * (K(y,z) * u)) = L(u,K(y,x) * K(y,z),K(x,y) * K(z,y)). [para(12552(a,1),11793(a,1,2))]. given #11634 (H,wt=34): 12825 K(x,y) * (K(z,y) * (K(y,z) * (K(y,x) * u))) = L(u,K(y,z) * K(y,x),K(z,y) * K(x,y)). [hyper(228,a,11248,a(flip),b,12554,a(flip)),flip(a)]. given #11635 (H,wt=26): 12826 L(x,K(y,z) * K(y,u),K(z,y) * K(u,y)) = K(u,y) * (K(y,u) * x). [para(5042(a,1),12825(a,1,2)),flip(a)]. given #11636 (H,wt=18): 12827 L(x,K(y,z) * K(y,u),K(z,y) * K(u,y)) = x. [hyper(228,a,5042,a(flip),b,12826,a)]. given #11637 (H,wt=35): 12715 T(x \ R(a(y,x \ 1,y) * (a(y,x \ 1,y) \ x),z,u),y) = y \ T(y * (x \ R(x,z,u)),y). [para(12714(a,2),12301(a,1,1,2))]. given #11638 (H,wt=21): 12830 x \ T(x * (y \ R(y,z,u)),x) = T(y \ R(y,z,u),x). [para(14(a,1),12715(a,1,1,2,1)),flip(a)]. given #11639 (H,wt=28): 12831 T(x \ R(x,y,z),u) \ (u \ (u * (x \ R(x,y,z)))) = a(K(u,x),y * x,z). [para(12830(a,1),12753(a,1,1))]. given #11640 (H,wt=24): 12832 T(x \ R(x,y,z),u) \ (x \ R(x,y,z)) = a(K(u,x),y * x,z). [para(13(a,1),12831(a,1,2))]. given #11641 (H,wt=17): 12833 a(K(x,y),z * y,u) = K(x,y \ R(y,z,u)). [hyper(4731,a,12832,a),flip(a)]. given #11642 (H,wt=21): 12835 a(K(x,K(y,z)),u * y,w) = K(x,K(z,y \ R(y,u,w))). [para(12833(a,1),12090(a,2,2))]. given #11643 (H,wt=19): 12836 K(x,K(y,z \ R(z,u,w))) = a(K(z,K(x,y)),u,w). [hyper(228,a,12576,a(flip),b,12835,a(flip))]. given #11644 (H,wt=21): 12837 K(x,K(y,R(z,u,w) * (z \ y))) = a(K(z,K(x,y)),u,w). [hyper(228,a,9226,a,b,12836,a(flip)),flip(a)]. given #11645 (H,wt=21): 12838 K(x,K(y,R(z,u,w) * (z \ y))) = a(K(x,K(y,z)),u,w). [para(7728(a,2),12837(a,2,1))]. given #11646 (H,wt=19): 12839 K(x,K(y,R(z,u,w) \ z)) = a(K(x,K(y,z)),u,w). [hyper(9386,a,12838,a)]. given #11647 (H,wt=26): 12840 K(x,K(y,(z * u) / (R(z,w,v5) * u))) = a(K(x,K(R(y,z,u),z)),w,v5). [hyper(228,a,9903,a(flip),b,12839,a(flip)),flip(a)]. given #11648 (H,wt=26): 12841 K(x,K(y,(z * u) / (R(z,w,v5) * u))) = a(K(x,K(z,R(y,z,u))),w,v5). [para(7741(a,1),12840(a,2,1))]. given #11649 (H,wt=23): 12843 K(x,K(y,(z * u) / (R(z,w,v5) * u))) = a(K(x,K(z,y)),w,v5). [para(8992(a,1),12841(a,2,1))]. given #11650 (H,wt=22): 12844 K(x,K(R(y,z,u) \ y,R(w,y,v5))) = a(K(x,K(y,w)),z,u). [hyper(9929,a,12843,a)]. given #11651 (H,wt=23): 12847 K(x,K(a(y,z,u),T(w,y * (z * u)))) = a(K(x,K(y,w)),z,u). [hyper(228,a,10503,a(flip),b,12844,a(flip)),flip(a)]. given #11652 (H,wt=36): 12497 a(x,((y * (z * (u * K(w,w \ 1)))) \ ((y * z) * u)) \ 1,x) = a(x,K(w,w \ 1) / a(y,z,u),x). [para(10862(a,1),12496(a,1,2,2)),flip(a)]. given #11653 (H,wt=34): 12849 a(x,((y * z) * u) \ (y * (z * (u * K(w,w \ 1)))),x) = a(x,K(w,w \ 1) / a(y,z,u),x). [hyper(11296,a,12497,a)]. given #11654 (H,wt=34): 12850 a(x,y \ ((z * u) \ (z * (u * (y * K(w,w \ 1))))),x) = a(x,K(w,w \ 1) / a(z,u,y),x). [hyper(228,a,12725,a(flip),b,12849,a(flip)),flip(a)]. given #11655 (H,wt=29): 12851 a(x,y \ L(y * K(z,z \ 1),u,w),x) = a(x,K(z,z \ 1) / a(w,u,y),x). [para(28(a,2),12850(a,1,2,2))]. given #11656 (H,wt=29): 12852 a(x,(y \ L(y,z,u)) * K(w,w \ 1),x) = a(x,K(w,w \ 1) / a(u,z,y),x). [para(4589(a,1),12851(a,1,2))]. given #11657 (H,wt=23): 12853 a(x,y \ L(y,z,u),x) = a(x,K(w,w \ 1) / a(u,z,y),x). [hyper(10889,a,12852,a)]. given #11658 (H,wt=23): 12854 a(x,a(y,z,u) \ K(w,w \ 1),x) = a(x,u \ L(u,z,y),x). [hyper(228,a,12488,a(flip),b,12853,a),flip(a)]. given #11659 (H,wt=19): 12855 a(x,a(y,z,u) \ 1,x) = a(x,u \ L(u,z,y),x). [para(147(a,1),12854(a,1,2,2))]. given #11660 (H,wt=36): 12645 (x * (y * T(a(z,u,z) * (a(z,u,z) \ (y \ (x \ w))),v5))) \ w = K(v5,(x * (y * a(z,u,z))) \ w). [para(12644(a,2),6407(a,1,1,2,2))]. given #11661 (H,wt=26): 12857 K(x,(y * (z * a(u,w,u))) \ v5) = (y * (z * T(z \ (y \ v5),x))) \ v5. [para(14(a,1),12645(a,1,1,2,2,1)),flip(a)]. given #11662 (H,wt=20): 12858 K(x,(y * (z * a(u,w,u))) \ v5) = K(x,(y * z) \ v5). [hyper(228,a,5467,a(flip),b,12857,a)]. given #11663 (H,wt=18): 12861 K(x,(L(y,z,y) * u) \ w) = K(x,(y * u) \ w). [para(9023(a,1),12858(a,1,2,1)),flip(a)]. given #11664 (H,wt=21): 12860 K(x,(y * K(z * u,u)) \ w) = K(x,(y * K(z,u)) \ w). [para(8911(a,1),12858(a,1,2,1,2))]. given #11665 (H,wt=41): 12387 T(1 / x,x \ y) * L(T(1 / x,(x \ 1) * y) \ 1,z,u) = T((1 / x) * L((1 / x) \ 1,z,u),(x \ 1) * y). [para(12386(a,1),2041(a,1,1))]. given #11666 (H,wt=39): 12862 T(1 / x,x \ y) * L(T(1 / x,x \ y) \ 1,z,u) = T((1 / x) * L((1 / x) \ 1,z,u),(x \ 1) * y). [para(12386(a,1),12387(a,1,2,1,1))]. given #11667 (H,wt=35): 12863 T((1 / x) * L((1 / x) \ 1,y,z),(x \ 1) * u) = T((1 / x) * L((1 / x) \ 1,y,z),x \ u). [hyper(2044,a,12862,a),flip(a)]. given #11668 (H,wt=31): 12864 T((1 / x) * L((1 / x) \ 1,y,z),(x \ 1) * u) = T((1 / x) * L(x,y,z),x \ u). [para(64(a,1),12863(a,2,1,2,1))]. given #11669 (H,wt=29): 12865 T((1 / x) * L((1 / x) \ 1,y,z),(x \ 1) * u) = T(x \ L(x,y,z),x \ u). [para(4602(a,1),12864(a,2,1))]. given #11670 (H,wt=25): 12866 T((1 / x) * L(x,y,z),(x \ 1) * u) = T(x \ L(x,y,z),x \ u). [para(64(a,1),12865(a,1,1,2,1))]. given #11671 (H,wt=23): 12867 T(x \ L(x,y,z),(x \ 1) * u) = T(x \ L(x,y,z),x \ u). [para(4602(a,1),12866(a,1,1))]. given #11672 (H,wt=25): 12868 T(x \ L(x,y,z),x \ u) = T((1 / x) * L((1 / x) \ 1,y,z),u). [hyper(228,a,12273,a(flip),b,12867,a(flip))]. given #11673 (H,wt=21): 12869 T(x \ L(x,y,z),x \ u) = T((1 / x) * L(x,y,z),u). [para(64(a,1),12868(a,2,1,2,1))]. given #11674 (H,wt=19): 12870 T(x \ L(x,y,z),x \ u) = T(x \ L(x,y,z),u). [para(4602(a,1),12869(a,2,1))]. given #11675 (H,wt=19): 12871 T(x \ L(x,y,z),x * u) = T(x \ L(x,y,z),u). [para(13(a,1),12870(a,1,2)),flip(a)]. given #11676 (H,wt=26): 12872 (x \ L(x,y,z)) \ T(x \ L(x,y,z),u) = K(x \ L(x,y,z),x * u). [hyper(71,a,12871,a(flip),b,4705,a(flip))]. given #11677 (H,wt=19): 12873 K(x \ L(x,y,z),x * u) = K(x \ L(x,y,z),u). [hyper(4773,a,12872,a),flip(a)]. given #11678 (H,wt=21): 12874 K(x * y,x \ L(x,z,u)) = K(x \ L(x,z,u),y) \ 1. [para(12873(a,1),4879(a,1,1)),flip(a)]. given #11679 (H,wt=19): 12875 K(x * y,x \ L(x,z,u)) = K(y,x \ L(x,z,u)). [hyper(228,a,4879,a(flip),b,12874,a)]. given #11680 (H,wt=23): 12876 K(x,K(y * z,z \ L(z,u,w))) = K(x,K(y,z \ L(z,u,w))). [para(12875(a,1),11284(a,2,2))]. given #11681 (H,wt=31): 12877 K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))) = K(x,K(y * z,u \ L(u,z,y))). [hyper(228,a,11686,a,b,12876,a(flip)),flip(a)]. given #11682 (H,wt=29): 12878 K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))) = K(x,K(y * z,a(y,z,u))). [hyper(228,a,11818,a(flip),b,12877,a)]. given #11683 (H,wt=23): 12879 K(x,K(a(y,z,u),y * (z * u))) = K(x,K(y * z,a(y,z,u))). [hyper(7956,a,12878,a)]. given #11684 (H,wt=23): 12881 K(x,K(a(y,z,u),(y * z) * u)) = K(x,K(y * z,a(y,z,u))). [hyper(228,a,7780,a,b,12879,a(flip)),flip(a)]. given #11685 (H,wt=26): 12880 K(x,K(y * z,a(y,z,u))) != w | K(x,K(a(y,z,u),y * (z * u))) = w. [para(12878(a,1),7956(a,1))]. given #11686 (H,wt=39): 12882 K(a(x,y,z),T((((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u),x * (y * z))) = K(u,K(x * y,a(x,y,z))). [hyper(228,a,12303,a,b,12881,a(flip)),flip(a)]. given #11687 (H,wt=29): 12883 K(x,K(a(y,z,u),T((y * z) * u,y * (z * u)))) = K(x,K(y * z,a(y,z,u))). [hyper(9147,a,12882,a)]. given #11688 (H,wt=23): 12884 a(K(x,K(y,(y * z) * u)),z,u) = K(x,K(y * z,a(y,z,u))). [hyper(228,a,12847,a(flip),b,12883,a(flip)),flip(a)]. given #11689 (H,wt=21): 12885 K(x,K(y * z,a(y,z,u))) = a(K(y,K(x,z * u)),z,u). [para(9113(a,1),12884(a,1,1)),flip(a)]. given #11690 (H,wt=12): 12886 K(x,K(y * z,a(y,z,u))) = 1. [hyper(228,a,9551,a(flip),b,12885,a)]. given #11691 (H,wt=14): 12887 K(x,K(a(y,z,u),y * (z * u))) = 1. [hyper(12880,a,12886,a)]. given #11692 (H,wt=22): 12890 K(x,((y * z) * u) / (y * (z * u))) = K(x,a(y,z,u)) * 1. [para(12887(a,1),9654(a,1,2)),flip(a)]. given #11693 (H,wt=20): 12891 K(x,((y * z) * u) / (y * (z * u))) = K(x,a(y,z,u)). [hyper(228,a,12,a(flip),b,12890,a)]. given #11694 (H,wt=23): 12893 R(K(x,y \ R(y,z,u)),R(y,z,u),z * u) = K(x,a(y,z,u)). [hyper(228,a,9186,a,b,12891,a(flip)),flip(a)]. given #11695 (H,wt=23): 12894 R(a(K(x,y),z * y,u),R(y,z,u),z * u) = K(x,a(y,z,u)). [para(12833(a,2),12893(a,1,1))]. given #11696 (H,wt=23): 12895 a(K(x,R(y,R(y,z,u),z * u)),z * y,u) = K(x,a(y,z,u)). [hyper(228,a,12759,a,b,12894,a(flip)),flip(a)]. given #11697 (H,wt=15): 12896 a(K(x,y),z * y,u) = K(x,a(y,z,u)). [hyper(228,a,12761,a(flip),b,12895,a(flip)),flip(a)]. given #11698 (H,wt=42): 12710 L(T(x,R(y / T(1 / (1 / x),z),u,w)),y / T(1 / (1 / x),z),x) = T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)). [para(3294(a,2),12707(a,2,2,1))]. given #11699 (H,wt=42): 12898 L(T(x,R(y / T((1 / x) \ 1,z),u,w)),y / T(1 / (1 / x),z),x) = T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)). [para(11738(a,1),12710(a,1,1))]. given #11700 (H,wt=38): 12899 L(T(x,R(y / T(x,z),u,w)),y / T(1 / (1 / x),z),x) = T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)). [para(64(a,1),12898(a,1,1,2,1,2,1))]. given #11701 (H,wt=36): 12900 L(T(x,R(x \ y,z,u)),y / T(1 / (1 / x),w),x) = T(x,R(((x \ 1) \ 1) * (y / T(x,w)),z,u)). [para(10813(a,1),12899(a,1,1))]. given #11702 (H,wt=36): 12901 L(T(x,R(x \ y,z,u)),y / T((1 / x) \ 1,w),x) = T(x,R(((x \ 1) \ 1) * (y / T(x,w)),z,u)). [hyper(228,a,10390,a(flip),b,12900,a(flip)),flip(a)]. given #11703 (H,wt=32): 12903 T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)) = L(T(x,R(x \ y,u,w)),y / T(x,z),x). [para(64(a,1),12901(a,1,2,2,1)),flip(a)]. given #11704 (H,wt=30): 12904 T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)) = L(T(x,R(x \ y,u,w)),x \ y,x). [hyper(228,a,10408,a(flip),b,12903,a)]. given #11705 (H,wt=27): 12906 T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)) = T(x,R(x * (x \ y),u,w)). [hyper(228,a,12707,a(flip),b,12904,a)]. given #11706 (H,wt=23): 12907 T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)) = T(x,R(y,u,w)). [para(14(a,1),12906(a,2,2,1))]. given #11707 (H,wt=23): 12908 T(x,R(x * (y / T(1 / (1 / x),z)),u,w)) = T(x,R(y,u,w)). [para(3294(a,1),12907(a,1,2,1))]. given #11708 (H,wt=45): 12587 K(((x \ 1) \ K(y,x)) \ T(x,z),T(u,w) \ ((u \ 1) \ K(v5,u))) = K((x * (K(y,x) / T(x,z))) \ 1,u * (K(v5,u) / T(u,w))). [para(12586(a,1),11560(a,1,2)),flip(a)]. given #11709 (H,wt=45): 12909 K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K(x \ ((K(y,x) / T(x,z)) \ 1),(K(y,x) / T(x,z)) * x). [hyper(228,a,6833,a(flip),b,12587,a)]. given #11710 (H,wt=43): 12910 K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K(x \ (K(x,z) * T(x,y)),(K(y,x) / T(x,z)) * x). [para(5457(a,1),12909(a,2,1,2))]. given #11711 (H,wt=43): 12911 K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K(T(K(x,z),x) * K(x,y),(K(y,x) / T(x,z)) * x). [para(7579(a,1),12910(a,2,1))]. given #11712 (H,wt=41): 12912 K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K(K(x,z) * K(x,y),(K(y,x) / T(x,z)) * x). [para(3150(a,1),12911(a,2,1,1))]. given #11713 (H,wt=39): 12913 K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K(K(x,z) * K(x,y),K(y,x) * K(z,x)). [para(5257(a,1),12912(a,2,2))]. given #11714 (H,wt=25): 12914 K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = 1. [hyper(228,a,6886,a(flip),b,12913,a)]. given #11715 (H,wt=23): 12916 K((x \ K(x,y)) * T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = 1. [para(11556(a,1),12914(a,1,1))]. given #11716 (H,wt=25): 12917 1 / (((x \ K(x,y)) \ 1) \ T(x,z)) = ((x \ K(x,y)) * T(x,z)) \ 1. [para(12916(a,1),12276(a,1,2)),flip(a)]. given #11717 (H,wt=23): 12918 1 / (((x \ K(x,y)) \ 1) \ T(x,z)) = x * (K(y,x) / T(x,z)). [hyper(228,a,12586,a(flip),b,12917,a)]. given #11718 (H,wt=23): 12920 1 / (((x \ 1) \ K(y,x)) \ T(x,z)) = x * (K(y,x) / T(x,z)). [para(5127(a,1),12918(a,1,2,1))]. given #11719 (H,wt=21): 12921 1 / ((x \ K(x,y)) * T(x,z)) = x * (K(y,x) / T(x,z)). [para(11556(a,1),12920(a,1,2))]. given #11720 (H,wt=21): 12922 (x * (K(y,x) / T(x,z))) \ 1 = (x \ K(x,y)) * T(x,z). [para(12921(a,1),64(a,1,1))]. given #11721 (H,wt=46): 12398 K((x / y) \ 1,z) * T(z,T(z * ((y / x) * ((y / x) \ ((x / y) \ 1))),y / x)) = L(z,(y / x) * ((y / x) \ ((x / y) \ 1)),z). [para(11779(a,1),12349(a,1,1,1))]. given #11722 (H,wt=44): 12924 K(x / y,z) * T(z,T(z * ((x / y) * ((x / y) \ ((y / x) \ 1))),x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). [para(5619(a,1),12398(a,1,1))]. given #11723 (H,wt=36): 12925 K(x / y,z) * T(z,T(z * ((y / x) \ 1),x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). [para(14(a,1),12924(a,1,2,2,1,2))]. given #11724 (H,wt=34): 12927 K(x / y,z) * T(z,T((y / x) \ z,x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). [para(8832(a,1),12925(a,1,2))]. given #11725 (H,wt=34): 12928 K(x / y,z) * T(z,T(z * (x / y),x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). [para(12688(a,1),12927(a,1,2))]. given #11726 (H,wt=30): 12929 L(x,(y / z) * ((y / z) \ ((z / y) \ 1)),x) = K(y / z,x) * T(x,x * (y / z)). [para(7565(a,1),12928(a,1,2)),flip(a)]. given #11727 (H,wt=23): 12930 L(x,(y / z) * ((y / z) \ ((z / y) \ 1)),x) = L(x,y / z,x). [hyper(228,a,4980,a(flip),b,12929,a)]. given #11728 (H,wt=13): 12931 L(x,y / z,x) = L(x,z \ y,x). [hyper(228,a,10745,a(flip),b,12930,a(flip))]. given #11729 (H,wt=13): 12934 L(x,(y \ z) \ z,x) = L(x,y,x). [para(61(a,1),12931(a,1,2)),flip(a)]. given #11730 (H,wt=13): 12938 L(x,y * K(z,y),x) = L(x,y,x). [para(6057(a,1),12934(a,1,2)),flip(a)]. given #11731 (H,wt=19): 12939 L(x,R(y * K(z,y),u,w),x) = L(x,R(y,u,w),x). [para(5822(a,1),12938(a,1,2))]. given #11732 (H,wt=24): 12936 L(x,R(y * K(z,y),z,u),x) = L(x,(z * u) \ ((z * y) * u),x). [para(4833(a,2),12931(a,1,2))]. given #11733 (H,wt=20): 12940 L(x,(y * z) \ ((y * u) * z),x) = L(x,R(u,y,z),x). [hyper(228,a,12939,a(flip),b,12936,a(flip))]. given #11734 (H,wt=16): 12942 L(x,R(y,z,u),x) = L(x,z \ (z * y),x). [hyper(228,a,12619,a(flip),b,12940,a(flip))]. given #11735 (H,wt=12): 12944 L(x,R(y,z,u),x) = L(x,y,x). [para(13(a,1),12942(a,2,2))]. given #11736 (H,wt=29): 12935 L(x,R(y \ R(y,z,u),y,z * u),x) = L(x,(y * (z * u)) \ ((y * z) * u),x). [para(3520(a,2),12931(a,1,2))]. given #11737 (H,wt=22): 12945 L(x,R(y \ R(y,z,u),y,z * u),x) = L(x,a(y,z,u),x). [para(24(a,2),12935(a,2,2))]. given #11738 (H,wt=17): 12946 L(x,y \ R(y,z,u),x) = L(x,a(y,z,u),x). [hyper(228,a,12944,a(flip),b,12945,a(flip)),flip(a)]. given #11739 (H,wt=27): 12948 (x * K(y \ R(y,z,u),x)) \ L(x,a(y,z,u),x) = a(K(x,y),z * y,u). [para(12946(a,1),12752(a,1,2))]. given #11740 (H,wt=27): 12949 K(x,y \ R(y,z,u)) * (x \ L(x,a(y,z,u),x)) = a(K(x,y),z * y,u). [hyper(5672,a,12948,a)]. given #11741 (H,wt=27): 12950 a(K(x,y),z * y,u) * (x \ L(x,a(y,z,u),x)) = a(K(x,y),z * y,u). [para(12833(a,2),12949(a,1,1))]. given #11742 (H,wt=25): 12951 a(x,a(y,z,u),x) \ a(K(x,y),z * y,u) = a(K(x,y),z * y,u). [hyper(9812,a,12950,a)]. given #11743 (H,wt=9): 12952 a(x,a(y,z,u),x) = 1. [hyper(70,a,12951,a,b,9763,a),flip(a)]. given #11744 (H,wt=9): 12954 L(x,a(y,z,u),x) = x. [hyper(33,a,12952,a)]. given #11745 (H,wt=15): 12957 T(x,x * a(y,z,u)) = T(x,a(y,z,u)). [para(12954(a,1),676(a,1,1)),flip(a)]. given #11746 (H,wt=17): 12956 (x * a(y,z,u)) * x = x * (a(y,z,u) * x). [para(12954(a,1),100(a,1,2))]. given #11747 (H,wt=20): 12959 T(x,x / a(y,z,u)) = a(y,z,u) * (x / a(y,z,u)). [hyper(369,a,12956,a)]. given #11748 (H,wt=20): 12960 T(x,a(y,z,u) \ x) = a(y,z,u) * (x / a(y,z,u)). [hyper(7951,a,12959,a)]. given #11749 (H,wt=23): 12953 a(x,a(y,z,u),x) \ K(x,a(y,z,u)) = a(K(x,y),z * y,u). [para(12896(a,1),12951(a,1,2))]. given #11750 (H,wt=17): 12963 K(x,x * a(y,z,u)) = a(K(x,y),z * y,u). [hyper(8895,a,12953,a)]. given #11751 (H,wt=15): 12964 K(x,x * a(y,z,u)) = K(x,a(y,z,u)). [hyper(228,a,12896,a(flip),b,12963,a)]. given #11752 (H,wt=13): 12966 a(x,y,K(z,u)) = K(z,a(x,y,u)). [hyper(228,a,12808,a(flip),b,12964,a(flip)),flip(a)]. given #11753 (H,wt=15): 12965 K(x,x * a(y,z,u)) = a(K(x,y),z,u). [hyper(228,a,12574,a(flip),b,12963,a)]. given #11754 (H,wt=13): 12970 a(K(x,y),z,u) = a(y,z,K(x,u)). [hyper(228,a,12808,a(flip),b,12965,a(flip))]. given #11755 (H,wt=17): 12967 a(x,y,K(z,u)) \ w = K(a(x,y,u),z) * w. [para(12966(a,2),5035(a,1,1))]. given #11756 (H,wt=13): 12972 a(x,y,K(z,u)) = K(a(x,y,z),u). [hyper(9968,a,12967,a)]. given #11757 (H,wt=18): 12973 a(x,y,z) * a(x,y,K(z,u)) = T(a(x,y,z),u). [para(12972(a,2),4705(a,2,2)),flip(a)]. given #11758 (H,wt=18): 12974 a(x,y,K(z,u)) * a(x,y,z) = T(a(x,y,z),u). [para(12972(a,2),4712(a,2,1)),flip(a)]. given #11759 (H,wt=19): 12968 (x * y) * a(z,u,K(y,w)) = x * T(y,a(z,u,w)). [para(12966(a,2),5199(a,1,2))]. given #11760 (H,wt=21): 12975 a(x,y,z) * a(x,y,K(z,u)) != w | T(a(x,y,z),u) = w. [para(12972(a,2),4708(a,1,2))]. given #11761 (H,wt=21): 12976 a(x,y,K(z,u)) * a(x,y,z) != w | T(a(x,y,z),u) = w. [para(12972(a,2),4713(a,1,1))]. given #11762 (H,wt=22): 12969 (x * y) * a(z,u,K(y,w)) != v5 | x * T(y,a(z,u,w)) = v5. [para(12966(a,2),5201(a,1,2))]. given #11763 (H,wt=24): 12958 T(x * K(a(y,z,u),x),(x * K(a(y,z,u),x)) * a(y,z,u)) = x. [hyper(228,a,4674,a(flip),b,12957,a)]. given #11764 (H,wt=24): 12983 T(x * a(y,z,K(u,x)),(x * K(a(y,z,u),x)) * a(y,z,u)) = x. [para(12972(a,2),12958(a,1,1,2))]. given #11765 (H,wt=17): 12984 T(x * a(y,z,K(u,x)),a(y,z,u) * x) = x. [para(4715(a,1),12983(a,1,2))]. given #11766 (H,wt=25): 12961 a(x,y,z) * K(u,a(x,y,z) \ u) = T(a(x,y,z),u / a(x,y,z)). [hyper(171,a,12960,a(flip),b,6261,a),flip(a)]. given #11767 (H,wt=25): 12971 (T(x,x \ y) * a(z,u,K(w,v5))) \ ((x \ y) \ y) = a(K(z,w),u,v5). [para(12970(a,1),12067(a,1,1,2))]. given #11768 (H,wt=13): 12987 a(K(x,y),z,u) = a(x,z,K(u,y)). [hyper(9709,a,12971,a),flip(a)]. given #11769 (H,wt=13): 12990 a(x,y,K(z,u)) = a(u,y,K(x,z)). [hyper(228,a,12970,a(flip),b,12987,a(flip))]. given #11770 (H,wt=13): 13003 a(K(x,y),z,u) = a(u,z,K(y,x)). [hyper(228,a,12987,a,b,12990,a),flip(a)]. given #11771 (H,wt=13): 13008 a(x,y,K(z,u)) = K(x,a(u,y,z)). [hyper(228,a,12966,a(flip),b,12990,a)]. given #11772 (H,wt=13): 13028 a(K(x,y),z,u) = K(a(u,z,y),x). [hyper(228,a,12972,a(flip),b,13003,a)]. given #11773 (H,wt=15): 12989 K(x,x * a(y,z,u)) = a(x,z,K(u,y)). [hyper(228,a,12965,a,b,12987,a(flip)),flip(a)]. given #11774 (H,wt=15): 13000 a(x,y * z,K(u,z)) = a(z,y,K(x,u)). [hyper(11440,a,12990,a)]. given #11775 (H,wt=15): 13005 a(x,y * z,K(z,u)) = a(z,y,K(u,x)). [hyper(228,a,11428,a,b,12990,a),flip(a)]. given #11776 (H,wt=15): 13009 a(x \ 1,y,K(z,u)) = a(u,y,K(z,x)). [hyper(228,a,11503,a(flip),b,12990,a)]. given #11777 (H,wt=15): 13012 a(x,y,K(z,u \ 1)) = a(z,y,K(x,u)). [hyper(228,a,11503,a(flip),b,12990,a(flip))]. given #11778 (H,wt=15): 13013 a(x \ y,z,K(u,x)) = a(u,z,K(x,y)). [hyper(228,a,11500,a(flip),b,12990,a(flip))]. given #11779 (H,wt=15): 13032 a(x,y * x,K(z,u)) = a(x,y,K(z,u)). [hyper(228,a,12990,a(flip),b,13000,a(flip)),flip(a)]. given #11780 (H,wt=15): 13034 a(x \ 1,y,K(z,u)) = a(x,y,K(u,z)). [hyper(228,a,12990,a(flip),b,13009,a)]. given #11781 (H,wt=16): 12988 a(K(x,y),z,u) != w | a(x,z,K(u,y)) = w. [para(12971(a,1),9709(a,1))]. given #11782 (H,wt=16): 13033 a(x,y,K(z,u)) != w | a(z,y,K(u,x)) = w. [para(13000(a,1),11446(a,1))]. given #11783 (H,wt=16): 13039 a(x,y,K(z,u)) != w | a(u,y,K(x,z)) = w. [para(13003(a,1),12988(a,1))]. given #11784 (H,wt=16): 13042 K(x,a(y,z,u)) != w | a(x,z,K(u,y)) = w. [para(12966(a,1),13033(a,1))]. given #11785 (H,wt=16): 13043 a(K(x,y),z,u) != w | a(u,z,K(y,x)) = w. [para(12987(a,2),13033(a,1))]. given #11786 (H,wt=16): 13044 a(K(x,y),z,u) != w | a(y,z,K(x,u)) = w. [para(13003(a,2),13033(a,1))]. given #11787 (H,wt=16): 13052 K(a(x,y,z),u) != w | a(x,y,K(z,u)) = w. [para(13028(a,1),13043(a,1))]. given #11788 (H,wt=17): 12992 a(K(x,T(y,z)),u,w) = a(T(x,z),u,K(w,y)). [para(7202(a,1),12987(a,1,1))]. given #11789 (H,wt=17): 13001 K(x,y) * K(y,L(x,z,u)) = a(y,z,K(u,x)). [hyper(11432,a,12990,a)]. given #11790 (H,wt=17): 13002 K(x,L(y,z,u)) * K(y,x) = a(x,z,K(u,y)). [hyper(11429,a,12990,a)]. given #11791 (H,wt=17): 13006 x / (a(y,z,K(u,w)) * x) = a(w,z,K(u,y)). [hyper(228,a,9966,a,b,12990,a),flip(a)]. given #11792 (H,wt=17): 13007 L(K(x,y),z,u) * K(y,x) = a(y,z,K(x,u)). [hyper(228,a,9682,a,b,12990,a),flip(a)]. given #11793 (H,wt=17): 13010 a(x,y,K(z,u)) * w = a(u,y,K(x,z)) * w. [hyper(22,a,12990,a)]. given #11794 (H,wt=17): 13011 x * a(y,z,K(u,w)) = x * a(w,z,K(y,u)). [hyper(21,a,12990,a)]. given #11795 (H,wt=17): 13014 a(x,y,K(z,K(u,w))) = a(u,y,K(x,K(w,z))). [hyper(228,a,10856,a(flip),b,12990,a(flip)),flip(a)]. given #11796 (H,wt=17): 13016 a(x,y,K(z,K(u,w))) = a(u,y,K(x,K(z,w))). [para(7739(a,1),12990(a,1,3))]. given #11797 (H,wt=17): 13017 a(x,y,K(z,K(u,w))) = a(z,y,K(x,K(u,w))). [para(7740(a,1),12990(a,1,3))]. given #11798 (H,wt=17): 13018 K(x,y) * a(y,z,K(x,u)) = L(K(x,y),z,u). [para(12990(a,2),9681(a,1,2))]. given #11799 (H,wt=17): 13019 x / a(y,z,K(u,w)) = x * a(w,z,K(u,y)). [para(12990(a,2),9704(a,1,2))]. given #11800 (H,wt=17): 13023 a(x,y,K(z,u)) \ w = a(u,y,K(z,x)) * w. [para(12990(a,2),9965(a,1,1))]. given #11801 (H,wt=17): 13027 L(K(x,y),z,u) \ K(x,y) = a(K(y,x),z,u). [hyper(228,a,9683,a,b,13003,a),flip(a)]. given #11802 (H,wt=17): 13029 x * a(K(y,z),u,w) = x * a(w,u,K(z,y)). [hyper(21,a,13003,a)]. given #11803 (H,wt=17): 13031 a(x,y,K(z,K(u,w))) = K(z,K(x,a(w,y,u))). [para(13008(a,1),12966(a,2,2))]. given #11804 (H,wt=17): 13035 a(x \ (y \ 1),z,K(u,x)) = a(x,z,K(u,y)). [hyper(228,a,13012,a(flip),b,13013,a)]. given #11805 (H,wt=17): 13053 a(T(x,y),z,K(u,w)) = a(x,z,K(u,T(w,y))). [hyper(12988,a,12992,a),flip(a)]. given #11806 (H,wt=17): 13059 a(x,y,K(z,u)) * K(z,x) = L(K(z,x),y,u). [hyper(5064,a,13007,a)]. given #11807 (H,wt=17): 13061 a(x,y,K(z,K(u,w))) = a(u,y,K(z,K(x,w))). [para(7728(a,1),13014(a,2,3))]. given #11808 (H,wt=17): 13063 K(x,y) * a(y,z,K(x,u)) = K(x,L(y,z,u)). [hyper(228,a,11389,a(flip),b,13018,a)]. given #11809 (H,wt=17): 13069 a(x,y,K(z,K(u,w))) = K(u,K(x,a(w,y,z))). [para(7723(a,1),13031(a,1,3))]. given #11810 (H,wt=17): 13070 a(x,y,K(z,u)) * K(x,u) = L(K(x,u),y,z). [hyper(228,a,13010,a,b,13059,a(flip)),flip(a)]. given #11811 (H,wt=17): 13074 a(x,y,K(z,K(u,w))) = K(x,K(z,a(u,y,w))). [hyper(228,a,13014,a(flip),b,13069,a(flip)),flip(a)]. given #11812 (H,wt=18): 13026 a(x,y,z) * a(u,y,K(x,z)) = T(a(x,y,z),u). [para(12990(a,1),12973(a,1,2))]. given #11813 (H,wt=18): 13030 x * a(x,y,K(z,u)) != w | T(x,a(u,y,z)) = w. [para(13008(a,2),4708(a,1,2))]. given #11814 (H,wt=18): 13038 K(x,x * a(y,z,u)) != w | a(x,z,K(u,y)) = w. [para(12965(a,2),12988(a,1))]. given #11815 (H,wt=18): 13040 a(x,y,K(z,u)) != w | a(u \ 1,y,K(z,x)) = w. [para(11503(a,1),13033(a,1))]. given #11816 (H,wt=18): 13045 a(x,y,K(z,u)) != w | a(z,y,K(x,u \ 1)) = w. [para(13009(a,1),13033(a,1))]. given #11817 (H,wt=18): 13046 a(x \ 1,y,K(z,u)) != w | a(u,y,K(z,x)) = w. [para(13034(a,2),13033(a,1))]. given #11818 (H,wt=18): 13050 K(x,x * a(y,z,u)) != w | a(y,z,K(x,u)) = w. [para(12989(a,2),13039(a,1))]. given #11819 (H,wt=18): 13051 a(x \ 1,y,K(z,u)) != w | a(x,y,K(u,z)) = w. [para(13009(a,2),13039(a,1))]. given #11820 (H,wt=18): 13079 a(x,y,K(z,u)) != w | a(x \ 1,y,K(u,z)) = w. [para(12990(a,1),13040(a,1))]. given #11821 (H,wt=18): 13080 a(x,y,K(z \ 1,u)) != w | a(x,y,K(u,z)) = w. [para(12990(a,1),13046(a,1))]. given #11822 (H,wt=18): 13081 a(x,y,K(z,u \ 1)) != w | a(z,y,K(x,u)) = w. [para(12990(a,2),13046(a,1))]. given #11823 (H,wt=19): 13004 a(x,y,K(z \ (u \ 1),w)) = a(w,y,K(u * z,x)). [hyper(228,a,11504,a,b,12990,a),flip(a)]. given #11824 (H,wt=19): 13062 K(x,y) * a(y,z,K(x,u)) = K(x,L(y,y \ z,u)). [hyper(228,a,8951,a,b,13018,a)]. given #11825 (H,wt=15): 13083 a(x,x \ y,K(z,u)) = a(x,y,K(z,u)). [hyper(17,a,13063,a,b,13062,a),flip(a)]. given #11826 (H,wt=15): 13084 a(x,y \ z,K(u,y)) = a(y,z,K(x,u)). [hyper(13033,a,13083,a)]. given #11827 (H,wt=20): 13020 x / a(y,z,K(u,w)) != v5 | x * a(w,z,K(u,y)) = v5. [para(12990(a,2),9708(a,1,2))]. given #11828 (H,wt=20): 13024 x / (a(y,z,K(u,w)) * x) != v5 | a(w,z,K(u,y)) = v5. [para(12990(a,2),9969(a,1,2,1))]. given #11829 (H,wt=20): 13047 a(x,y,K(z,K(u,w))) != v5 | a(u,y,K(x,K(w,z))) = v5. [para(7724(a,1),13039(a,1,3))]. given #11830 (H,wt=20): 13048 a(x,y,K(z,K(u,w))) != v5 | a(z,y,K(x,K(u,w))) = v5. [para(7740(a,1),13039(a,1,3))]. given #11831 (H,wt=20): 13049 K(x,y) * K(y,L(x,z,u)) != w | a(y,z,K(u,x)) = w. [para(11406(a,2),13039(a,1))]. given #11832 (H,wt=20): 13060 a(x,y,K(z,u)) * w != v5 * w | a(u,y,K(x,z)) = v5. [para(13010(a,2),20(a,1))]. given #11833 (H,wt=20): 13065 x * a(y,z,K(u,w)) != v5 | x * a(w,z,K(y,u)) = v5. [para(13019(a,1),9708(a,1))]. given #11834 (H,wt=20): 13072 K(x,L(y,z,u)) != K(x,y) * w | a(y,z,K(x,u)) = w. [para(13063(a,1),19(a,1))]. given #11835 (H,wt=20): 13076 L(K(x,y),z,u) != w * K(x,y) | a(x,z,K(u,y)) = w. [para(13070(a,1),20(a,1))]. given #11836 (H,wt=20): 13082 a(x,y,K(z \ u,w)) != v5 | a(x,y,K(w,u \ z)) = v5. [para(5601(a,1),13080(a,1,3))]. given #11837 (H,wt=20): 13087 x * a(y,z,K(u,w)) != v5 | x * a(u,z,K(w,y)) = v5. [para(9704(a,1),13020(a,1))]. given #11838 (H,wt=20): 13088 a(x,y,K(z,K(u,w))) != v5 | a(u,y,K(z,K(w,x))) = v5. [para(13017(a,1),13047(a,1))]. given #11839 (H,wt=20): 13089 K(x,K(y,a(z,u,w))) != v5 | a(x,u,K(y,K(z,w))) = v5. [para(13069(a,1),13047(a,1))]. given #11840 (H,wt=20): 13090 a(x,y,K(z,K(u,w))) != v5 | a(u,y,K(z,K(x,w))) = v5. [para(13016(a,1),13048(a,1))]. given #11841 (H,wt=21): 12995 a(K(x,x \ (y \ z)),u,w) = a(x,u,K(w,(y * x) \ z)). [para(10597(a,1),12987(a,1,1))]. given #11842 (H,wt=21): 12997 a(K(x,x \ (y / z)),u,w) = a(x,u,K(w,y / (z * x))). [para(10948(a,1),12987(a,1,1))]. given #11843 (H,wt=21): 12998 a(K(x,x \ (y / z)),u,w) = a(x,u,K(w,(x \ y) / z)). [para(10961(a,1),12987(a,1,1))]. given #11844 (H,wt=21): 12999 T(x,x * y) * a(x,z,K(u,y)) = T(x,R(x * y,z,u)). [para(12987(a,1),12708(a,1,2))]. given #11845 (H,wt=21): 13015 a(x,y,K((x * z) \ u,w)) = a(w,y,K(x,z \ (x \ u))). [para(7015(a,1),12990(a,2,3))]. given #11846 (H,wt=21): 13021 K(x,y) * (L(K(y,x),z,u) * w) = a(y,z,K(u,x)) * w. [para(12990(a,1),9959(a,2,1))]. given #11847 (H,wt=20): 13096 a(x,y,K(z,u)) * w != v5 | a(z,y,K(u,x)) * w = v5. [para(13021(a,1),9963(a,1))]. given #11848 (H,wt=20): 13097 a(x,y,K(z,u)) * w != v5 | a(u,y,K(x,z)) * w = v5. [para(12990(a,1),13096(a,1,1))]. given #11849 (H,wt=21): 13022 K(x,y) * (a(x,z,K(u,y)) * w) = L(K(x,y),z,u) * w. [para(12990(a,1),9960(a,1,2,1))]. given #11850 (H,wt=21): 13054 1 / (x * (a(y,z,K(u,w)) * 1)) = a(w,z,K(u,y)) / x. [hyper(72,a,13006,a(flip),b,321,a),flip(a)]. given #11851 (H,wt=19): 13098 1 / (x * a(y,z,K(u,w))) = a(w,z,K(u,y)) / x. [para(12(a,1),13054(a,1,2,2))]. given #11852 (H,wt=21): 13064 K(x,y) * a(x,z,K(y,K(u,w))) = L(K(x,y),z,K(u,w)). [para(13017(a,1),13018(a,1,2))]. given #11853 (H,wt=21): 13073 K(x,y) * a(x,z,K(y,K(u,w))) = K(x,L(y,z,K(u,w))). [para(13017(a,1),13063(a,1,2))]. given #11854 (H,wt=21): 13091 T(a(x,y,z),u) != w | a(x,y,z) * a(x,y,K(z,u)) = w. [para(13026(a,1),13087(a,1))]. given #11855 (H,wt=21): 13092 a(x,y,K(z,(u * x) \ w)) = a(x,y,K(z,x \ (u \ w))). [hyper(12988,a,12995,a),flip(a)]. given #11856 (H,wt=22): 12991 (K(x,y) * (z * u)) * a(x,z,K(u,y)) = (K(x,y) * z) * u. [para(12987(a,1),89(a,1,2))]. given #11857 (H,wt=22): 13041 a(x,y,K(z \ (u \ 1),w)) != v5 | a(w,y,K(u * z,x)) = v5. [para(11504(a,2),13033(a,1))]. given #11858 (H,wt=22): 13078 a(x,y,z) * a(z,y,K(x,u)) = T(a(x,y,z),z \ (u \ 1)). [para(13035(a,1),13026(a,1,2))]. given #11859 (H,wt=22): 13102 a(x,y,z) * a(u,y,K(z,x)) = T(a(x,y,z),z \ (u \ 1)). [hyper(13065,a,13078,a)]. given #11860 (H,wt=23): 12996 a(x,y,K(z,(u \ w) \ (x \ 1))) = a(K(x,x \ (w \ u)),y,z). [para(10609(a,1),12987(a,1,1)),flip(a)]. given #11861 (H,wt=23): 13025 a(T(x / y,x) * z,u,K(w,v5)) = a(w,u,K(v5,(y \ x) * z)). [para(12510(a,1),12990(a,1,3)),flip(a)]. given #11862 (H,wt=23): 13055 x / (a(y,z,K(u,w \ v5)) * x) = a((w \ 1) * v5,z,K(u,y)). [para(5543(a,1),13006(a,1,2,1,3))]. given #11863 (H,wt=19): 13105 a((x \ 1) * y,z,K(u,w)) = a(x \ y,z,K(u,w)). [hyper(13024,a,13055,a),flip(a)]. given #11864 (H,wt=23): 13056 x / (a(y,z,K(u,w \ v5)) * x) = a((1 / w) * v5,z,K(u,y)). [para(5551(a,1),13006(a,1,2,1,3))]. given #11865 (H,wt=19): 13107 a((1 / x) * y,z,K(u,w)) = a(x \ y,z,K(u,w)). [hyper(13024,a,13056,a),flip(a)]. given #11866 (H,wt=19): 13108 a((x \ 1) \ y,z,K(u,w)) = a(x * y,z,K(u,w)). [para(61(a,1),13107(a,1,1,1)),flip(a)]. given #11867 (H,wt=23): 13071 K(x,K(y,L(z,u,w))) * K(x,K(z,y)) = a(z,u,K(x,K(w,y))). [hyper(11453,a,13061,a)]. given #11868 (H,wt=23): 13075 a(x,y,K(z,K(u,w))) * K(x,K(u,w)) = K(u,K(w,L(x,y,z))). [hyper(228,a,8504,a(flip),b,13070,a)]. given #11869 (H,wt=23): 13085 a(T(x,y),y \ (x \ 1),K(z,u)) = a(T(x,y),y \ 1,K(z,u)). [para(429(a,1),13083(a,1,2))]. given #11870 (H,wt=23): 13100 K(x,y) * a(x,z,K(y,K(u,w))) = L(K(x,y),y * z,K(u,w)). [hyper(228,a,8950,a,b,13073,a)]. given #11871 (H,wt=19): 13113 a(x,y * z,K(y,K(u,w))) = a(x,z,K(y,K(u,w))). [hyper(17,a,13064,a,b,13100,a),flip(a)]. given #11872 (H,wt=19): 13114 a(x,y \ z,K(y,K(u,w))) = a(x,z,K(y,K(u,w))). [para(14(a,1),13113(a,1,2)),flip(a)]. given #11873 (H,wt=19): 13115 a(x,y * z,K(u,K(w,y))) = a(x,z,K(y,K(u,w))). [para(7728(a,2),13113(a,1,3))]. given #11874 (H,wt=19): 13116 a(x,y * z,K(u,K(w,y))) = a(x,z,K(u,K(w,y))). [para(7728(a,2),13115(a,2,3))]. given #11875 (H,wt=23): 13109 K(x,K(y,L(z,u,w))) * K(x,K(y,z)) = a(z,u,K(x,K(w,y))). [para(7741(a,1),13071(a,1,2))]. given #11876 (H,wt=21): 13117 K(K(x,L(y,z,u)) * K(y,x),w) = a(y,z,K(w,K(u,x))). [hyper(228,a,11633,a(flip),b,13109,a(flip)),flip(a)]. given #11877 (H,wt=19): 13118 K(a(x,y * z,K(z,u)),w) = a(z,y,K(w,K(x,u))). [para(9694(a,1),13117(a,1,1))]. given #11878 (H,wt=19): 13119 K(a(x,y * z,K(z,u)),w) = a(z,y,K(w,K(u,x))). [para(7741(a,1),13118(a,2,3))]. given #11879 (H,wt=23): 13111 a(x,y,K(z,K(u,w))) * K(x,K(z,w)) = K(z,K(w,L(x,y,u))). [para(7723(a,1),13075(a,1,1,3))]. given #11880 (H,wt=24): 13068 x * a(K(y,z),u,w) != v5 * v6 | v5 \ (x * a(w,u,K(z,y))) = v6. [para(13029(a,2),437(a,1))]. given #11881 (H,wt=24): 13093 a(x,y,K(z,(u * x) \ w)) != v5 | a(x,y,K(z,x \ (u \ w))) = v5. [para(12995(a,1),12988(a,1))]. given #11882 (H,wt=24): 13094 a(x,y,K(z,u / (w * x))) != v5 | a(x,y,K(z,x \ (u / w))) = v5. [para(12997(a,1),12988(a,1))]. given #11883 (H,wt=24): 13095 a(x,y,K(z,(x \ u) / w)) != v5 | a(x,y,K(z,x \ (u / w))) = v5. [para(12998(a,1),12988(a,1))]. given #11884 (H,wt=24): 13099 L(K(x,y),z,K(u,w)) != K(x,y) * v5 | a(x,z,K(y,K(u,w))) = v5. [para(13064(a,1),19(a,1))]. given #11885 (H,wt=25): 12986 a(x,y,z) * K(u,a(x,y,z) \ u) = T(a(x,y,z),a(x,y,z) \ u). [hyper(228,a,3944,a(flip),b,12961,a)]. given #11886 (H,wt=25): 13058 x / (a(y,z,u * (K(w,u) / u)) * x) = a(u \ (w \ 1),z,K(u,y)). [para(6858(a,1),13006(a,1,2,1,3))]. given #11887 (H,wt=25): 13101 ((K(x,y) * z) * u) / a(x,z,K(u,y)) != w | K(x,y) * (z * u) = w. [para(12991(a,1),295(a,1,1)),flip(b)]. given #11888 (H,wt=25): 13103 T(a(x,y,z),z \ (u \ 1)) != a(x,y,z) * w | a(z,y,K(x,u)) = w. [para(13078(a,1),19(a,1))]. given #11889 (H,wt=25): 13106 a((T(x,y) \ 1) * (y \ 1),z,K(u,w)) = a(y \ (x \ 1),z,K(u,w)). [para(429(a,1),13105(a,2,1))]. given #11890 (H,wt=25): 13112 a(x,y,K(z,K(u,w))) * K(x,K(z,w)) = K(z,K(w,L(x,y,u \ 1))). [para(8079(a,1),13075(a,1,1,3))]. given #11891 (H,wt=19): 13121 K(x,K(y,L(z,u,w \ 1))) = K(x,K(y,L(z,u,w))). [hyper(228,a,13111,a(flip),b,13112,a(flip))]. given #11892 (H,wt=19): 13122 K(x,K(y,L(z,u,1 / w))) = K(x,K(y,L(z,u,w))). [para(64(a,1),13121(a,1,2,2,3)),flip(a)]. given #11893 (H,wt=25): 13120 ((K(x,y) * z) * u) * a(x,z,K(y,u)) != w | K(x,y) * (z * u) = w. [para(9704(a,1),13101(a,1))]. given #11894 (H,wt=26): 12978 a(x,y,z) * a(x,y,z * (K(u,z) / z)) = T(a(x,y,z),z \ (u \ 1)). [para(6858(a,1),12973(a,1,2,3))]. given #11895 (H,wt=17): 13123 a(x,y,z * (K(u,z) / z)) = a(z,y,K(x,u)). [hyper(17,a,13078,a,b,12978,a)]. given #11896 (H,wt=21): 13124 a(x,y,z * (K(u,z) / z)) * w = a(x,y,K(u,z)) * w. [para(13123(a,2),13010(a,2,1)),flip(a)]. given #11897 (H,wt=24): 13125 a(x,y,z * (K(u,z) / z)) * w != v5 | a(x,y,K(u,z)) * w = v5. [para(13123(a,2),13096(a,1,1))]. given #11898 (H,wt=26): 12980 a(x,y,z * (K(u,z) / z)) * a(x,y,z) = T(a(x,y,z),z \ (u \ 1)). [para(6858(a,1),12974(a,1,1,3))]. given #11899 (H,wt=22): 13126 a(x,y,K(z,u)) * a(x,y,u) = T(a(x,y,u),u \ (z \ 1)). [hyper(13125,a,12980,a)]. given #11900 (H,wt=26): 12981 a(x,y,K(z,z \ (u \ w))) * a(x,y,z) = T(a(x,y,z),(u * z) \ w). [para(10597(a,1),12974(a,1,1,3))]. given #11901 (H,wt=24): 13127 T(a(x,y,z),(u * z) \ w) != v5 | T(a(x,y,z),z \ (u \ w)) = v5. [para(12981(a,1),12976(a,1))]. given #11902 (H,wt=26): 12982 a(x,y,K(z,z \ (u / w))) * a(x,y,z) = T(a(x,y,z),u / (w * z)). [para(10948(a,1),12974(a,1,1,3))]. given #11903 (H,wt=24): 13128 T(a(x,y,z),u / (w * z)) != v5 | T(a(x,y,z),z \ (u / w)) = v5. [para(12982(a,1),12976(a,1))]. given #11904 (H,wt=26): 13077 a(x,y,K(z,K(u,w))) * K(x,K(u,w)) != v5 | K(u,K(w,L(x,y,z))) = v5. [para(13070(a,2),8686(a,1))]. given #11905 (H,wt=26): 13104 a(x,y,K(z,(u \ w) \ (x \ 1))) != v5 | a(x,y,K(z,x \ (w \ u))) = v5. [para(12996(a,2),12988(a,1))]. given #11906 (H,wt=26): 13129 a(x,y,K(z,K(u,w))) * K(x,K(z,w)) != v5 | K(z,K(w,L(x,y,u))) = v5. [para(7723(a,1),13077(a,1,1,3))]. given #11907 (H,wt=27): 13057 x / (a(y,z,K(u,(w / v5) * v6)) * x) = a((v5 * (w \ 1)) \ v6,z,K(u,y)). [para(5552(a,1),13006(a,1,2,1,3))]. given #11908 (H,wt=27): 13066 K(x,(a(y,z,K(u,w)) * (v5 \ 1)) * v6) = K(x,(v5 * a(w,z,K(u,y))) \ v6). [para(13023(a,1),5545(a,1,2,1))]. given #11909 (H,wt=28): 12993 (x * K(y,z)) * a(y,u,K(u \ x,T(z,x))) = (K(y,T(z,x)) * u) * (u \ x). [para(12987(a,1),7886(a,1,2))]. given #11910 (H,wt=26): 13130 (x * K(y,z)) * a(y,u,K(x / u,z)) = (K(y,T(z,x)) * u) * (u \ x). [para(7831(a,1),12993(a,1,2,3))]. given #11911 (H,wt=30): 12962 T(x,a(y,z,u) \ x) != (x / a(y,z,u)) * w | T(a(y,z,u),x / a(y,z,u)) = w. [para(12960(a,2),172(a,2)),flip(a)]. given #11912 (H,wt=30): 12994 K(x,(a(y,z,K(u,w)) \ ((z * u) \ K(w,y))) * v5) = K(x,(u \ (z \ K(w,y))) * v5). [para(12987(a,1),10099(a,1,2,1,1))]. given #11913 (H,wt=30): 13110 K(x,K(y,z \ (u * ((u \ z) * w)))) = a(w,u \ z,K(u,K(x,y))) * K(w,K(x,y)). [para(101(a,2),13075(a,2,2,2)),flip(a)]. given #11914 (H,wt=28): 13131 K(x,K(y,z \ (u * ((u \ z) * w)))) = a(w,z,K(u,K(x,y))) * K(w,K(x,y)). [para(13114(a,1),13110(a,2,1))]. given #11915 (H,wt=22): 13132 K(x,K(y,z \ (u * ((u \ z) * w)))) = K(x,K(y,L(w,z,u))). [hyper(228,a,13075,a(flip),b,13131,a)]. given #11916 (H,wt=19): 13133 K(x,K(y,L(z,u \ w,u))) = K(x,K(y,L(z,w,u))). [para(101(a,1),13132(a,1,2,2))]. given #11917 (H,wt=19): 13134 K(x,K(y,L(z,u / w,w))) = K(x,K(y,L(z,u,w))). [para(11009(a,2),13133(a,1,2,2))]. given #11918 (H,wt=32): 12985 (x * y) / T(x * a(z,u,K(w,x)),y) = K(x * a(z,u,K(w,x)),a(z,u,w) * x) * y. [para(12984(a,1),7518(a,1,1,1))]. given #11919 (H,wt=33): 13037 a(1 / (x * T(y,z)),T(y,z),K(u,w)) = a(1 / (x * T(y,z)),y * (1 / (x * y)),K(u,w)). [para(11073(a,1),13032(a,1,2)),flip(a)]. given #11920 (H,wt=33): 13086 a(T(x / (1 / y),z),(1 / T(x * y,z)) * x,K(u,w)) = a(T(x / (1 / y),z),x,K(u,w)). [para(2418(a,1),13083(a,1,2))]. given #11921 (H,wt=33): 13135 a((x * T(y,z)) \ 1,y * (1 / (x * y)),K(u,w)) = a(1 / (x * T(y,z)),T(y,z),K(u,w)). [hyper(228,a,3715,a(flip),b,13037,a),flip(a)]. given #11922 (H,wt=33): 13136 a(T(x,y) \ (z \ 1),x * (1 / (z * x)),K(u,w)) = a(1 / (z * T(x,y)),T(x,y),K(u,w)). [para(118(a,1),13135(a,1,1))]. given #11923 (H,wt=34): 12979 K(a(x,y,z),u) * T(a(x,y,z) * K(u,a(x,y,z)),w) = a(x,y,K(z,T(w,u))) * a(x,y,z). [hyper(228,a,8484,a,b,12974,a),flip(a)]. given #11924 (H,wt=35): 13036 a(((x \ (y \ x)) \ 1) \ 1,((y \ 1) \ 1) \ x,K(z,u)) = a(((x \ (y \ x)) \ 1) \ 1,x,K(z,u)). [para(3074(a,1),13032(a,1,2))]. given #11925 (H,wt=35): 13138 a(x \ (((y \ 1) \ 1) \ x),((y \ 1) \ 1) \ x,K(z,u)) = a(((x \ (y \ x)) \ 1) \ 1,x,K(z,u)). [para(3095(a,1),13036(a,1,1))]. given #11926 (H,wt=37): 12977 a(x,y,K(z,a(x,y,z) \ 1)) / (((x * y) * z) \ (x * (y * z))) = (((x * y) * z) \ (x * (y * z))) \ 1. [para(12972(a,2),12021(a,1,1))]. given #11927 (H,wt=30): 13139 a(x,y,1) / (((x * y) * z) \ (x * (y * z))) = (((x * y) * z) \ (x * (y * z))) \ 1. [para(12814(a,1),12977(a,1,1,3))]. given #11928 (H,wt=27): 13140 1 / (((x * y) * z) \ (x * (y * z))) = (((x * y) * z) \ (x * (y * z))) \ 1. [para(338(a,1),13139(a,1,1))]. given #11929 (H,wt=27): 13142 (((x * y) * z) \ (x * (y * z))) \ 1 = (1 / (x * (y * z))) * ((x * y) * z). [hyper(228,a,326,a(flip),b,13140,a(flip))]. given #11930 (H,wt=31): 13145 x / ((1 / (y * (z * u))) * ((y * z) * u)) = (1 / x) \ (((y * z) * u) \ (y * (z * u))). [para(13142(a,1),317(a,1,2))]. given #11931 (H,wt=35): 13144 ((x * y) \ (z \ 1)) * T((z * x) * y,((z * x) * y) \ 1) = (1 / (z * (x * y))) * ((z * x) * y). [hyper(228,a,659,a,b,13142,a(flip)),flip(a)]. given #11932 (H,wt=35): 13147 ((x * y) \ (z \ 1)) * T((z * x) * y,y \ ((z * x) \ 1)) = (1 / (z * (x * y))) * ((z * x) * y). [para(118(a,1),13144(a,1,2,2))]. given #11933 (H,wt=35): 13148 ((x * y) \ (z \ 1)) * T((z * x) * y,y \ (x \ (z \ 1))) = (1 / (z * (x * y))) * ((z * x) * y). [para(118(a,1),13147(a,1,2,2,2))]. given #11934 (H,wt=31): 13149 ((x * y) \ (z \ 1)) * ((y \ (x \ (z \ 1))) \ 1) = (1 / (z * (x * y))) * ((z * x) * y). [para(2012(a,1),13148(a,1,2))]. given #11935 (H,wt=29): 13150 (x \ (y \ (z \ 1))) \ ((y * x) \ (z \ 1)) = (1 / (z * (y * x))) * ((z * y) * x). [hyper(228,a,1980,a(flip),b,13149,a(flip)),flip(a)]. given #11936 (H,wt=37): 13137 K(a(x,y,z),u) * T(a(x,y,z) * K(u,a(x,y,z)),w) != v5 * a(x,y,z) | a(x,y,K(z,T(w,u))) = v5. [para(12979(a,2),20(a,1))]. given #11937 (H,wt=38): 13067 x \ (y * (a(z,u,K(w,v5)) * T(a(v5,u,K(w,z)) * (y \ x),v6))) = K((x \ (y * a(z,u,K(w,v5)))) \ 1,v6). [para(13023(a,1),5838(a,1,2,2,2,1))]. given #11938 (H,wt=39): 13146 T((1 / 1) \ (((x * y) * z) \ (x * (y * z))),1 / (x * (y * z))) = (1 / (x * (y * z))) \ (1 / ((x * y) * z)). [para(13145(a,1),322(a,1,1))]. given #11939 (H,wt=37): 13151 T(1 \ (((x * y) * z) \ (x * (y * z))),1 / (x * (y * z))) = (1 / (x * (y * z))) \ (1 / ((x * y) * z)). [para(58(a,1),13146(a,1,1,1))]. given #11940 (H,wt=35): 13152 T(((x * y) * z) \ (x * (y * z)),1 / (x * (y * z))) = (1 / (x * (y * z))) \ (1 / ((x * y) * z)). [para(51(a,1),13151(a,1,1))]. given #11941 (H,wt=35): 13154 T(((x * y) * z) \ (x * (y * z)),(x * (y * z)) \ 1) = (1 / (x * (y * z))) \ (1 / ((x * y) * z)). [hyper(4112,a,13152,a)]. given #11942 (H,wt=35): 13155 T(((x * y) * z) \ (x * (y * z)),(y * z) \ (x \ 1)) = (1 / (x * (y * z))) \ (1 / ((x * y) * z)). [para(118(a,1),13154(a,1,2))]. given #11943 (H,wt=31): 13156 T(((x * y) * z) \ (x * (y * z)),(y * z) \ (x \ 1)) = (x * (y * z)) / ((x * y) * z). [hyper(228,a,320,a(flip),b,13155,a)]. given #11944 (H,wt=27): 13157 ((x * y) \ (z \ 1)) \ (((z * x) * y) \ 1) = (z * (x * y)) / ((z * x) * y). [hyper(228,a,1531,a(flip),b,13156,a(flip)),flip(a)]. given #11945 (H,wt=27): 13158 ((x * y) \ (z \ 1)) \ (y \ ((z * x) \ 1)) = (z * (x * y)) / ((z * x) * y). [para(118(a,1),13157(a,1,2))]. given #11946 (H,wt=27): 13159 ((x * y) \ (z \ 1)) \ (y \ (x \ (z \ 1))) = (z * (x * y)) / ((z * x) * y). [para(118(a,1),13158(a,1,2,2))]. given #11947 (H,wt=23): 13160 (x * (y * z)) / ((x * y) * z) = ((x * y) * z) \ (x * (y * z)). [hyper(228,a,10368,a(flip),b,13159,a(flip))]. given #11948 (H,wt=27): 13162 (((x * y) * z) \ (x * (y * z))) \ 1 = ((x * y) * z) * ((x * (y * z)) \ 1). [para(13160(a,1),120(a,1,1))]. given #11949 (H,wt=27): 13163 (1 / (x * (y * z))) * ((x * y) * z) = ((x * y) * z) * ((x * (y * z)) \ 1). [hyper(228,a,13142,a(flip),b,13162,a(flip)),flip(a)]. given #11950 (H,wt=27): 13164 (1 / (x * (y * z))) * ((x * y) * z) = ((x * y) * z) * ((y * z) \ (x \ 1)). [para(118(a,1),13163(a,2,2))]. given #11951 (H,wt=29): 13165 (x \ (y \ (z \ 1))) \ ((y * x) \ (z \ 1)) = ((z * y) * x) * ((y * x) \ (z \ 1)). [hyper(228,a,13150,a,b,13164,a(flip)),flip(a)]. given #11952 (H,wt=22): 13166 ((x * y) * z) * ((y * z) \ (x \ 1)) = a(1 / (x \ 1),y,z). [hyper(228,a,6765,a(flip),b,13165,a(flip))]. given #11953 (H,wt=18): 13168 a(x,y,z) = ((x * y) * z) * ((y * z) \ (x \ 1)). [para(61(a,1),13166(a,2,1)),flip(a)]. given #11954 (H,wt=30): 13169 (x * (1 / (((y * z) \ (u \ 1)) * x))) / ((u * y) * z) = x * (1 / (a(u,y,z) * x)). [para(13168(a,2),6846(a,2,2,2,1))]. given #11955 (H,wt=30): 13171 (x * ((1 / (1 / x)) \ (y * (z * u)))) / ((y * z) * u) = x * (1 / (a(y,z,u) * x)). [para(632(a,1),13169(a,1,1,2))]. given #11956 (H,wt=28): 13172 (K(x,x \ 1) * (y * (z * u))) / ((y * z) * u) = x * (1 / (a(y,z,u) * x)). [para(3036(a,1),13171(a,1,1))]. given #11957 (H,wt=28): 13173 K(x,x \ 1) * ((y * (z * u)) / ((y * z) * u)) = x * (1 / (a(y,z,u) * x)). [hyper(228,a,3432,a(flip),b,13172,a(flip)),flip(a)]. given #11958 (H,wt=18): 13174 (x * (y * z)) / ((x * y) * z) = a(x,y,z) \ 1. [hyper(11728,a,13173,a),flip(a)]. given #11959 (H,wt=18): 13175 ((x * y) * z) \ (x * (y * z)) = a(x,y,z) \ 1. [hyper(228,a,13160,a(flip),b,13174,a(flip)),flip(a)]. given #11960 (H,wt=31): 13161 (1 / (x * (y * (z \ 1)))) \ (z / (x * y)) = ((x * y) * (z \ 1)) \ (x * (y * (z \ 1))). [hyper(548,a,13160,a)]. given #11961 (H,wt=31): 13177 ((1 / 1) \ ((x / y) / z)) \ (x / (z * y)) = ((z * y) * (x \ 1)) \ (z * (y * (x \ 1))). [para(637(a,1),13161(a,1,1))]. given #11962 (H,wt=29): 13178 ((x * y) * (z \ 1)) \ (x * (y * (z \ 1))) = (1 \ ((z / y) / x)) \ (z / (x * y)). [para(58(a,1),13177(a,1,1,1)),flip(a)]. given #11963 (H,wt=27): 13179 ((x * y) * (z \ 1)) \ (x * (y * (z \ 1))) = ((z / y) / x) \ (z / (x * y)). [para(51(a,1),13178(a,2,1))]. given #11964 (H,wt=20): 13181 ((x / y) / z) \ (x / (z * y)) = a(z,y,x \ 1) \ 1. [hyper(228,a,13175,a(flip),b,13179,a(flip))]. given #11965 (H,wt=27): 13182 ((((x * y) * z) / z) / y) \ R(x,y,z) = a(y,z,((x * y) * z) \ 1) \ 1. [para(30(a,2),13181(a,1,2))]. given #11966 (H,wt=23): 13186 a(x,y,((z * x) * y) \ 1) \ 1 = ((z * x) / x) \ R(z,x,y). [para(15(a,1),13182(a,1,1,1)),flip(a)]. given #11967 (H,wt=19): 13187 a(x,y,((z * x) * y) \ 1) \ 1 = z \ R(z,x,y). [para(15(a,1),13186(a,2,1))]. given #11968 (H,wt=19): 13189 a(x,y,y \ ((z * x) \ 1)) \ 1 = z \ R(z,x,y). [para(118(a,1),13187(a,1,1,3))]. given #11969 (H,wt=19): 13190 a(x,y,y \ (x \ (z \ 1))) \ 1 = z \ R(z,x,y). [para(118(a,1),13189(a,1,1,3,2))]. given #11970 (H,wt=25): 13191 T(x,T(a(y,z,z \ (y \ (u \ 1))),1)) = T(x,(u \ R(u,y,z)) \ 1). [para(13190(a,1),7146(a,1,2,1)),flip(a)]. given #11971 (H,wt=23): 13193 T(x,T(a(y,z,z \ (y \ (u \ 1))),1)) = T(x,R(u,y,z) \ u). [hyper(228,a,5675,a(flip),b,13191,a)]. given #11972 (H,wt=21): 13194 T(x,a(y,z,z \ (y \ (u \ 1)))) = T(x,R(u,y,z) \ u). [para(143(a,1),13193(a,1,2))]. given #11973 (H,wt=25): 13192 a(x,y,K(y \ (K(x,z) \ (u \ 1)),z)) \ 1 = u \ R(u,K(x,z),y). [para(12987(a,1),13190(a,1,1))]. given #11974 (H,wt=25): 13195 a(x,y,K(y \ (K(z,x) * (u \ 1)),z)) \ 1 = u \ R(u,K(x,z),y). [para(5035(a,1),13192(a,1,1,3,1,2))]. given #11975 (H,wt=21): 13196 a(x,y,K(y \ (z \ 1),u)) \ 1 = z \ R(z,K(x,u),y). [para(8563(a,1),13195(a,1,1,3))]. given #11976 (H,wt=32): 13183 (((x / y) / z) \ (x / (z * y))) \ (x / (z * y)) = T((x / y) / z,a(z,y,x \ 1) \ 1). [para(13181(a,1),114(a,1,2)),flip(a)]. given #11977 (H,wt=29): 13198 (a(x,y,z \ 1) \ 1) \ (z / (x * y)) = T((z / y) / x,a(x,y,z \ 1) \ 1). [para(13181(a,1),13183(a,1,1))]. given #11978 (H,wt=29): 13199 (x / (y * z)) / T((x / z) / y,a(y,z,x \ 1) \ 1) = a(y,z,x \ 1) \ 1. [para(13198(a,1),61(a,1,2))]. given #11979 (H,wt=32): 13200 (a(x,y,z \ 1) \ 1) \ (z / (x * y)) != u | T((z / y) / x,a(x,y,z \ 1) \ 1) = u. [para(13199(a,1),283(a,1,1)),flip(b)]. given #11980 (H,wt=34): 13167 (((x * y) * z) * ((y * z) \ (x \ 1))) * (x * (y * z)) = (x * (y * z)) * ((a(x,y,z) \ 1) \ 1). [para(13165(a,1),11271(a,1,1))]. given #11981 (H,wt=30): 13201 (((x * y) * z) * ((y * z) \ (x \ 1))) * (x * (y * z)) = (x * (y * z)) * a(x,y,z). [para(11720(a,1),13167(a,2,2))]. given #11982 (H,wt=25): 13202 (((x * y) * z) * ((y * z) \ (x \ 1))) * (x * (y * z)) = (x * y) * z. [hyper(228,a,89,a(flip),b,13201,a)]. given #11983 (H,wt=16): 13203 a(x,y,z) * (x * (y * z)) = (x * y) * z. [para(13168(a,2),13202(a,1,1))]. given #11984 (H,wt=19): 13204 ((x * y) * z) / (x * (y * z)) != u | a(x,y,z) = u. [para(13203(a,1),295(a,1,1)),flip(b)]. given #11985 (H,wt=34): 13176 (x * (y * (z \ 1))) \ K(z \ (x * y),(x * y) \ z) = (a(x,y,z \ 1) \ 1) \ (z / (x * y)). [para(13175(a,1),6821(a,1,1)),flip(a)]. given #11986 (H,wt=37): 13206 (x * (y * (z \ 1))) \ K(z \ (x * y),(x * y) \ z) != u | T((z / y) / x,a(x,y,z \ 1) \ 1) = u. [para(13176(a,2),13200(a,1))]. given #11987 (H,wt=38): 13170 ((x * y) * (z * K(u,K(w,y * z)))) * (T(y * z,K(u,w)) \ (x \ 1)) = a(x,y,z * K(u,K(w,y * z))). [para(8534(a,1),13168(a,2,2,1)),flip(a)]. given #11988 (H,wt=38): 13184 (a(x,y,z \ 1) \ 1) \ ((z / (x * y)) / ((z / y) / x)) = K((z / y) / x,((z / y) / x) \ (z / (x * y))). [para(13181(a,1),4853(a,1,1))]. given #11989 (H,wt=35): 13207 (a(x,y,z \ 1) \ 1) \ ((z / (x * y)) / ((z / y) / x)) = K((z / y) / x,a(x,y,z \ 1) \ 1). [para(13181(a,1),13184(a,2,2))]. given #11990 (H,wt=40): 13185 ((x / y) / z) * ((x / (z * y)) \ K((x / y) / z,a(z,y,x \ 1) \ 1)) = (((x / y) / z) \ (x / (z * y))) \ 1. [para(13181(a,1),5465(a,1,2,2,2))]. given #11991 (H,wt=46): 12493 a(1 / ((x * y) \ x),z,1 / ((x * y) \ x)) * K(T(z,y),1 / ((x * y) \ x)) = K(z * (1 / ((x * y) \ x)),1 / ((x * y) \ x)). [para(12487(a,1),8908(a,1,1))]. given #11992 (H,wt=46): 13208 a(((x * y) \ x) \ 1,z,((x * y) \ x) \ 1) * K(T(z,y),1 / ((x * y) \ x)) = K(z * (1 / ((x * y) \ x)),1 / ((x * y) \ x)). [para(10373(a,1),12493(a,1,1))]. given #11993 (H,wt=42): 13210 a(x \ (x * y),z,x \ (x * y)) * K(T(z,y),1 / ((x * y) \ x)) = K(z * (1 / ((x * y) \ x)),1 / ((x * y) \ x)). [para(11964(a,1),13208(a,1,1))]. given #11994 (H,wt=38): 13211 a(x,y,z \ (z * x)) * K(T(y,x),1 / ((z * x) \ z)) = K(y * (1 / ((z * x) \ z)),1 / ((z * x) \ z)). [para(13(a,1),13210(a,1,1,1))]. given #11995 (H,wt=34): 13212 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(z,x,z) * K(T(x,z),1 / ((y * z) \ y)). [para(13(a,1),13211(a,1,1,3)),flip(a)]. given #11996 (H,wt=32): 13213 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(z,x,z) * K(T(x,z),y \ (y * z)). [para(5555(a,1),13212(a,2,2))]. given #11997 (H,wt=28): 13214 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(z,x,z) * K(T(x,z),z). [para(13(a,1),13213(a,2,2,2))]. given #11998 (H,wt=26): 13215 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(z,x,z) * K(x,z). [para(4878(a,1),13214(a,2,2))]. given #11999 (H,wt=23): 13216 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = K(z * x,z). [hyper(228,a,8891,a(flip),b,13215,a)]. given #12000 (H,wt=21): 13217 K(x * (1 / ((y * z) \ y)),y \ (y * z)) = K(z * x,z). [hyper(5766,a,13216,a)]. given #12001 (H,wt=17): 13218 K(x * (1 / ((y * z) \ y)),z) = K(z * x,z). [para(13(a,1),13217(a,1,2))]. given #12002 (H,wt=17): 13219 K(x * (((y * z) \ y) \ 1),z) = K(z * x,z). [hyper(228,a,5345,a(flip),b,13218,a(flip)),flip(a)]. given #12003 (H,wt=15): 13220 K(((x * y) \ x) \ z,y) = K(y * z,y). [hyper(9059,a,13219,a)]. given #12004 (H,wt=15): 13221 K(((x * y) \ x) \ (y \ z),y) = K(z,y). [para(14(a,1),13220(a,2,1))]. given #12005 (H,wt=17): 13222 K((1 / ((x * y) \ x)) \ z,y) = K(y \ z,y). [hyper(228,a,10355,a(flip),b,13221,a(flip))]. given #12006 (H,wt=17): 13223 K((((x * y) \ x) \ 1) \ z,y) = K(y \ z,y). [hyper(5803,a,13222,a)]. given #12007 (H,wt=15): 13225 K(x * ((y * z) \ y),z) = K(z \ x,z). [hyper(228,a,6805,a(flip),b,13223,a(flip)),flip(a)]. given #12008 (H,wt=19): 13227 K((x \ y) \ z,x \ y) = K(z * (y \ x),x \ y). [para(14(a,1),13225(a,1,1,2,1)),flip(a)]. given #12009 (H,wt=19): 13228 K((x \ y) \ z,x \ y) = K(z * (x / y),x \ y). [hyper(228,a,9368,a,b,13227,a)]. given #12010 (H,wt=21): 13229 x * K(x * (y / z),y \ z) = ((y \ z) \ x) * (y \ z). [para(13228(a,1),239(a,1,2))]. given #12011 (H,wt=23): 13230 ((1 / (x \ y)) \ z) * (1 / (x \ y)) = ((y \ x) \ z) * (y \ x). [hyper(228,a,9376,a,b,13229,a(flip)),flip(a)]. given #12012 (H,wt=23): 13231 (((x \ y) \ 1) \ z) * ((x \ y) \ 1) = ((y \ x) \ z) * (y \ x). [hyper(228,a,3052,a(flip),b,13230,a(flip)),flip(a)]. given #12013 (H,wt=29): 13232 ((x * y) \ x) \ T(((x * y) \ x) * z,y) = ((x \ (x * y)) \ z) * (x \ (x * y)). [hyper(228,a,5689,a,b,13231,a(flip)),flip(a)]. given #12014 (H,wt=25): 13233 ((x * y) \ x) \ T(((x * y) \ x) * z,y) = (y \ z) * (x \ (x * y)). [para(13(a,1),13232(a,2,1,1))]. given #12015 (H,wt=21): 13234 ((x * y) \ x) \ T(((x * y) \ x) * z,y) = (y \ z) * y. [para(13(a,1),13233(a,2,2))]. given #12016 (H,wt=23): 13235 K(x,y * ((z * x) \ z)) = (((x \ y) * x) \ 1) * ((y \ 1) \ 1). [para(13234(a,1),12294(a,1,1,1)),flip(a)]. given #12017 (H,wt=15): 13236 K(x,y * ((z * x) \ z)) = K(x,x \ y). [hyper(228,a,12291,a(flip),b,13235,a)]. given #12018 (H,wt=19): 13238 K(x \ y,(x \ y) \ z) = K(x \ y,z * (y \ x)). [para(14(a,1),13236(a,1,2,2,1)),flip(a)]. given #12019 (H,wt=19): 13239 K(x \ y,(x \ y) \ z) = K(x \ y,z * (x / y)). [hyper(228,a,9366,a,b,13238,a)]. given #12020 (H,wt=21): 13240 x * K(y \ z,x * (y / z)) = (y \ z) * (x / (y \ z)). [para(13239(a,1),4915(a,1,2))]. given #12021 (H,wt=23): 13241 (1 / (x \ y)) * (z / (1 / (x \ y))) = (y \ x) * (z / (y \ x)). [hyper(228,a,9374,a,b,13240,a(flip)),flip(a)]. given #12022 (H,wt=52): 12315 ((x * (K(y,z) * u)) / (x * T(u,K(y,z)))) \ T(x * (K(y,z) * u),K(z,L(y,u,x))) = T(x * (K(y,z) * u),L(K(z,y),u,x)) * L(K(z,y),u,x). [para(11389(a,1),11865(a,1,2,2))]. given #12023 (H,wt=44): 13242 (x * T(y,K(z,u))) * K(u,K(L(z,y,x),x * (K(z,u) * y))) = T(x * (K(z,u) * y),L(K(u,z),y,x)) * L(K(u,z),y,x). [hyper(228,a,7750,a(flip),b,12315,a(flip)),flip(a)]. given #12024 (H,wt=40): 13243 T(x * (K(y,z) * u),L(K(z,y),u,x)) * L(K(z,y),u,x) = (x * T(u,K(y,z))) * K(z,K(L(y,u,x),x * u)). [para(9898(a,1),13242(a,1,2,2)),flip(a)]. given #12025 (H,wt=40): 13244 T(x * (K(y,z) * u),L(K(z,y),u,x)) * L(K(z,y),u,x) = (x * T(u,K(y,z))) * K(z,K(x * u,L(y,u,x))). [para(7741(a,1),13243(a,2,2))]. given #12026 (H,wt=37): 13246 T(x * (K(y,z) * u),L(K(z,y),u,x)) * L(K(z,y),u,x) = (x * T(u,K(y,z))) * K(z,K(y,x * u)). [para(12128(a,1),13244(a,2,2))]. given #12027 (H,wt=37): 13247 T(x * (K(y,z) * u),L(K(z,y),u,x)) * L(K(z,y),u,x) = (x * T(u,K(y,z))) * K(y,K(z,x * u)). [para(7723(a,1),13246(a,2,2))]. given #12028 (H,wt=37): 13248 T(x * (K(y,z) * u),K(z,L(y,u,x))) * L(K(z,y),u,x) = (x * T(u,K(y,z))) * K(y,K(z,x * u)). [para(11389(a,1),13247(a,1,1,2))]. given #12029 (H,wt=37): 13249 T((x * (K(y,z) * u)) * L(K(z,y),u,x),K(z,L(y,u,x))) = (x * T(u,K(y,z))) * K(y,K(z,x * u)). [hyper(228,a,10504,a,b,13248,a(flip)),flip(a)]. given #12030 (H,wt=30): 13250 (x * T(y,K(z,u))) * K(z,K(u,x * y)) = T(x * T(y,K(z,u)),K(u,L(z,y,x))). [para(11864(a,1),13249(a,1,1)),flip(a)]. given #12031 (H,wt=37): 13251 T(x * T(y,K(z,u)),K(u,L(z,y,x))) != w * v5 | w \ ((x * T(y,K(z,u))) * K(z,K(u,x * y))) = v5. [para(13250(a,1),437(a,1))]. given #12032 (H,wt=52): 12923 (((x \ K(x,y)) * T(x,z)) \ 1) \ L(u,(x * (K(y,x) / T(x,z))) \ 1,x * (K(y,x) / T(x,z))) = ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u. [para(12922(a,1),11588(a,1,1,1))]. given #12033 (H,wt=50): 13252 (x * (K(y,x) / T(x,z))) \ L(u,(x * (K(y,x) / T(x,z))) \ 1,x * (K(y,x) / T(x,z))) = ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u. [para(12586(a,1),12923(a,1,1))]. given #12034 (H,wt=48): 13253 (x * (K(y,x) / T(x,z))) \ L(u,(x \ K(x,y)) * T(x,z),x * (K(y,x) / T(x,z))) = ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u. [para(12922(a,1),13252(a,1,2,2))]. given #12035 (H,wt=46): 13254 (x * (K(y,x) / T(x,z))) \ L(u,(x \ K(x,y)) * T(x,z),K(y,x) * K(z,x)) = ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u. [para(8465(a,1),13253(a,1,2))]. given #12036 (H,wt=44): 13255 (x * (K(y,x) / T(x,z))) \ L(u,K(x,y) * K(x,z),K(y,x) * K(z,x)) = ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u. [para(10394(a,1),13254(a,1,2))]. given #12037 (H,wt=29): 13256 ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u = (x * (K(y,x) / T(x,z))) \ u. [para(12827(a,1),13255(a,1,2)),flip(a)]. given #12038 (H,wt=27): 13257 ((((x \ K(x,y)) * T(x,z)) \ 1) \ 1) * u = (x * (K(y,x) / T(x,z))) \ u. [para(12922(a,1),13256(a,1,1,1,1))]. given #12039 (H,wt=25): 13258 ((x * (K(y,x) / T(x,z))) \ 1) * u = (x * (K(y,x) / T(x,z))) \ u. [para(12586(a,1),13257(a,1,1,1))]. given #12040 (H,wt=23): 13259 (x * (K(y,x) / T(x,z))) \ u = ((x \ K(x,y)) * T(x,z)) * u. [para(12922(a,1),13258(a,1,1)),flip(a)]. given #12041 (H,wt=40): 13260 L(((x \ K(x,y)) * T(x,z)) * u,T(x,z) \ ((x \ 1) \ K(y,x)),T(x,z)) = ((x \ 1) \ K(y,x)) \ (T(x,z) * u). [para(13259(a,1),8972(a,1,1))]. given #12042 (H,wt=38): 13261 L(((x \ K(x,y)) * T(x,z)) * u,x * (K(y,x) / T(x,z)),T(x,z)) = ((x \ 1) \ K(y,x)) \ (T(x,z) * u). [para(8549(a,1),13260(a,1,2))]. given #12043 (H,wt=38): 13262 L(((x \ K(x,y)) * T(x,z)) * u,x * (T(x,y) \ K(z,x)),T(x,z)) = ((x \ 1) \ K(y,x)) \ (T(x,z) * u). [hyper(228,a,10401,a(flip),b,13261,a(flip)),flip(a)]. given #12044 (H,wt=36): 13263 L(((x \ K(x,y)) * T(x,z)) * u,K(y,x) * K(z,x),T(x,z)) = ((x \ 1) \ K(y,x)) \ (T(x,z) * u). [para(4680(a,1),13262(a,1,2))]. given #12045 (H,wt=25): 13264 ((x \ 1) \ K(y,x)) \ (T(x,z) * u) = ((x \ K(x,y)) * T(x,z)) * u. [hyper(228,a,11256,a(flip),b,13263,a(flip))]. given #12046 (H,wt=43): 13266 (((x \ K(x,y)) * T(x,x \ 1)) * z) * K((K(x,y) / x) * (x * z),u) = T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),u). [para(13264(a,1),12098(a,1,1))]. given #12047 (H,wt=35): 13267 T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),u) = (K(x,y) * z) * K((K(x,y) / x) * (x * z),u). [para(5864(a,1),13266(a,1,1,1)),flip(a)]. given #12048 (H,wt=43): 13268 T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(u,u \ 1) * w) = (K(x,y) * z) * K((K(x,y) / x) * (x * z),u * w). [hyper(228,a,4353,a,b,13267,a(flip)),flip(a)]. given #12049 (H,wt=43): 13269 T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(u,u \ 1) * w) = (K(x,y) * z) * K((x \ K(x,y)) * (x * z),u * w). [para(6414(a,1),13268(a,2,2))]. given #12050 (H,wt=41): 13270 T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = (K(x,y) * z) * K(x \ (x * z),T(x * z,y)). [para(11362(a,1),13269(a,2,2))]. given #12051 (H,wt=37): 13271 T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = (K(x,y) * z) * K(z,T(x * z,y)). [para(13(a,1),13270(a,2,2,1))]. given #12052 (H,wt=35): 13272 T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = K(x,y) * T(z,T(x * z,y)). [hyper(228,a,5199,a(flip),b,13271,a)]. given #12053 (H,wt=33): 13274 T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = T(z,x * z) * K(x,y). [hyper(228,a,8964,a(flip),b,13272,a)]. given #12054 (H,wt=33): 13275 T(((x \ 1) \ K(y,x)) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = T(z,x * z) * K(x,y). [para(5127(a,1),13274(a,1,1,1))]. given #12055 (H,wt=31): 13276 T(((x \ K(x,y)) * T(x,x \ 1)) * z,T(x,x \ 1) * z) = T(z,x * z) * K(x,y). [para(13264(a,1),13275(a,1,1))]. given #12056 (H,wt=23): 13277 T(K(x,y) * z,T(x,x \ 1) * z) = T(z,x * z) * K(x,y). [para(5864(a,1),13276(a,1,1,1))]. given #12057 (H,wt=19): 13278 T(K(x,y) * z,x * z) = T(z,x * z) * K(x,y). [hyper(228,a,4353,a(flip),b,13277,a(flip)),flip(a)]. given #12058 (H,wt=19): 13279 T(K(x,y) * z,x * z) = T(z,z * x) * K(x,y). [para(4066(a,1),13278(a,2,1))]. given #12059 (H,wt=29): 13280 T(K(x,x * (y \ L(y,z,u))) * w,x * w) = T(w,w * x) * a(u,z,K(y,x)). [para(12795(a,1),13279(a,2,2))]. given #12060 (H,wt=25): 13281 T(a(x,y,K(z,u)) * w,u * w) = T(w,w * u) * a(x,y,K(z,u)). [para(12795(a,1),13280(a,1,1,1))]. given #12061 (H,wt=21): 13282 T(a(x,y,K(z,u)) * x,u * x) = T(x,R(x * u,y,z)). [hyper(228,a,12999,a(flip),b,13281,a)]. given #12062 (H,wt=21): 13283 T(x * a(x,y,K(z,u)),u * x) = T(x,R(x * u,y,z)). [para(10351(a,1),13282(a,1,1))]. given #12063 (H,wt=58): 12856 (((a(x,y,z) \ 1) * u) * a(u,z \ L(z,y,x),u)) \ ((u * (a(x,y,z) \ 1)) * u) = R(T(u,u * (a(x,y,z) \ 1)),(a(x,y,z) \ 1) * u,a(u,a(x,y,z) \ 1,u)). [para(12855(a,1),10106(a,1,1,2))]. given #12064 (H,wt=56): 13284 (((a(x,y,z) \ 1) * u) * a(u,z \ L(z,y,x),u)) \ ((u * (a(x,y,z) \ 1)) * u) = R(T(u,a(x,y,z) \ u),(a(x,y,z) \ 1) * u,a(u,a(x,y,z) \ 1,u)). [para(1713(a,1),12856(a,2,1))]. given #12065 (H,wt=38): 13285 (((a(x,y,z) \ 1) * u) * a(u,z \ L(z,y,x),u)) \ ((u * (a(x,y,z) \ 1)) * u) = T(u,a(x,y,z) \ u). [hyper(228,a,12251,a(flip),b,13284,a)]. given #12066 (H,wt=36): 13287 ((a(x,y,z) \ 1) * R(u,z \ L(z,y,x),u)) \ ((u * (a(x,y,z) \ 1)) * u) = T(u,a(x,y,z) \ u). [para(9813(a,1),13285(a,1,1))]. given #12067 (H,wt=25): 13288 L(T(x,a(y,z,u) \ 1),u \ L(u,z,y),x) = T(x,a(y,z,u) \ x). [hyper(228,a,10292,a(flip),b,13287,a(flip)),flip(a)]. given #12068 (H,wt=17): 13289 T(x,a(y,z,u) \ x) = x * a(y,z,K(u,x)). [hyper(228,a,12821,a(flip),b,13288,a(flip))]. given #12069 (H,wt=15): 13290 K(x,a(y,z,u) \ x) = a(y,z,K(u,x)). [hyper(4771,a,13289,a)]. given #12070 (H,wt=17): 13291 T(x,a(y,z,u) \ x) = x * a(x,z,K(y,u)). [hyper(228,a,13011,a(flip),b,13289,a)]. given #12071 (H,wt=17): 13292 T(T(x,a(y,z,u) \ x),u) = T(x,L(u,z,y)). [para(13289(a,2),11806(a,1,1))]. given #12072 (H,wt=17): 13294 K(x,a(y,z,u) \ x) = a(x \ 1,z,K(u,y)). [hyper(228,a,13009,a,b,13290,a)]. given #12073 (H,wt=17): 13296 T(T(x,y),a(z,u,y) \ x) = T(x,L(y,u,z)). [hyper(5427,a,13292,a)]. given #12074 (H,wt=18): 13297 K(x,a(y,z,u) \ x) != w | a(y,z,K(u,x)) = w. [para(13294(a,2),13046(a,1))]. given #12075 (H,wt=21): 13293 T(T(x,a(y,z,u) \ x),x * u) = T(x,L(u * x,z,y)). [para(13289(a,2),11808(a,1,1))]. given #12076 (H,wt=21): 13295 T(T(x,a(y,z,u) \ x),u * x) = T(x,R(x * u,z,y)). [para(13291(a,2),13283(a,1,1))]. given #12077 (H,wt=21): 13300 T(T(x,x * y),a(z,u,y) \ x) = T(x,L(y * x,u,z)). [hyper(5427,a,13293,a)]. given #12078 (H,wt=21): 13301 T(T(x,x * y),a(z,u,y) \ x) = T(x,R(x * y,u,z)). [hyper(5429,a,13295,a)]. given #12079 (H,wt=17): 13302 T(x,R(x * y,z,u)) = T(x,L(y * x,z,u)). [hyper(228,a,13300,a(flip),b,13301,a(flip))]. given #12080 (H,wt=23): 13303 T(x,L((y / T(1 / (1 / x),z)) * x,u,w)) = T(x,R(y,u,w)). [hyper(228,a,12908,a(flip),b,13302,a(flip))]. given #12081 (H,wt=21): 13304 T(x,L(y * (x * (1 / T(x,z))),u,w)) = T(x,R(y,u,w)). [para(9621(a,1),13303(a,1,2,1))]. given #12082 (H,wt=25): 13298 a(x,y,z) * a(u \ 1,y,K(z,x)) = T(a(x,y,z),a(x,y,z) \ u). [para(13294(a,1),12986(a,1,2))]. given #12083 (H,wt=24): 13305 T(a(x,y,z),a(x,y,z) \ u) = T(a(x,y,z),z \ ((u \ 1) \ 1)). [hyper(228,a,13102,a(flip),b,13298,a(flip))]. given #12084 (H,wt=20): 13307 T(a(x,y,z),a(x,y,z) \ u) = T(a(x,y,z),z \ u). [hyper(228,a,4346,a(flip),b,13305,a)]. given #12085 (H,wt=29): 13306 a(x,y,z) * a(u * (w \ 1),y,K(z,x)) = T(a(x,y,z),a(x,y,z) \ (w / u)). [para(120(a,1),13298(a,1,2,1))]. given #12086 (H,wt=35): 13299 T(T(x,y * (z * (u \ 1))),a(w,v5,y * (z * (1 / u))) \ x) = T(x,L(y * (z * (1 / u)),v5,w)). [para(4413(a,1),13296(a,1,1))]. given #12087 (H,wt=35): 13308 T(T(x,y * (z * (u \ 1))),a(w,v5,y * (z * (u \ 1))) \ x) = T(x,L(y * (z * (1 / u)),v5,w)). [para(10852(a,1),13299(a,1,2,1))]. given #12088 (H,wt=25): 13309 T(x,L(y * (z * (1 / u)),w,v5)) = T(x,L(y * (z * (u \ 1)),w,v5)). [hyper(228,a,13296,a(flip),b,13308,a(flip))]. given #12089 (H,wt=21): 13310 T(x,L(y * (x * (T(x,z) \ 1)),u,w)) = T(x,R(y,u,w)). [hyper(228,a,13304,a(flip),b,13309,a(flip))]. given #12090 (H,wt=17): 13311 T(x,L(y * K(z,x),u,w)) = T(x,R(y,u,w)). [para(4647(a,2),13310(a,1,2,1,2))]. given #12091 (H,wt=13): 13312 T(x,R(y,z,u)) = T(x,L(y,z,u)). [para(12356(a,1),13311(a,1,2,1)),flip(a)]. given #12092 (H,wt=15): 13313 x \ T(x,L(y,z,u)) = K(x,R(y,z,u)). [hyper(71,a,13312,a(flip),b,4705,a(flip))]. given #12093 (H,wt=13): 13314 K(x,R(y,z,u)) = K(x,L(y,z,u)). [hyper(4773,a,13313,a),flip(a)]. given #12094 (H,wt=13): 13315 L(K(x,y),z,u) = K(x,R(y,z,u)). [hyper(228,a,11389,a,b,13314,a),flip(a)]. given #12095 (H,wt=13): 13316 K(R(x,y,z),u) = K(x,L(u,y,z)). [hyper(228,a,12562,a,b,13314,a(flip)),flip(a)]. given #12096 (H,wt=13): 13317 R(K(x,y),z,u) = K(x,L(y,z,u)). [hyper(228,a,12559,a,b,13314,a(flip)),flip(a)]. given #12097 (H,wt=13): 13322 R(K(x,y),z,u) = L(K(x,y),z,u). [hyper(228,a,12559,a,b,13315,a),flip(a)]. given #12098 (H,wt=13): 13323 K(R(x,y,z),u) = K(L(x,y,z),u). [hyper(228,a,11421,a,b,13316,a)]. given #12099 (H,wt=13): 13332 R(K(x,y),y,z) != u | K(x,y) = u. [para(13322(a,2),6613(a,1))]. given #12100 (H,wt=17): 13326 L(K(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). [hyper(6964,a,13322,a),flip(a)]. given #12101 (H,wt=17): 13338 K(R(x,y,z) \ 1,u) = K(L(x,y,z) \ 1,u). [hyper(6147,a,13326,a),flip(a)]. given #12102 (H,wt=18): 13318 K(x,L((y / z) / u,u,z)) = K(x,y / (u * z)). [para(226(a,1),13314(a,1,2)),flip(a)]. given #12103 (H,wt=18): 13325 K(x,L(y,z,u)) * (z * u) = (K(x,y) * z) * u. [para(13317(a,1),109(a,1,1))]. given #12104 (H,wt=18): 13327 L(K(x / (y / z),u),x,z) = K((x * z) / y,u). [hyper(228,a,6741,a(flip),b,13322,a(flip))]. given #12105 (H,wt=18): 13328 L(K(x,y),z,u) * (z * u) = (K(x,y) * z) * u. [para(13322(a,1),109(a,1,1))]. given #12106 (H,wt=18): 13329 L(K(x,y),z,u) \ ((K(x,y) * z) * u) = z * u. [para(13322(a,1),141(a,1,1))]. given #12107 (H,wt=18): 13335 K(L(x / y,y,z),u) = K((x * z) / (y * z),u). [para(110(a,1),13323(a,1,1)),flip(a)]. given #12108 (H,wt=18): 13336 K(L((x / y) / z,z,y),u) = K(x / (z * y),u). [para(226(a,1),13323(a,1,1)),flip(a)]. given #12109 (H,wt=18): 13343 L(K(x,y),z,u) * (z * u) = (K(y,x) \ z) * u. [para(5035(a,2),13328(a,2,1))]. given #12110 (H,wt=18): 13348 L(K(x,y),z,u) \ (z * u) = (K(x,y) \ z) * u. [hyper(228,a,6445,a,b,13343,a(flip)),flip(a)]. given #12111 (H,wt=20): 13319 K(x,L(y \ (z / u),y,u)) = K(x,T(z / (y * u),y)). [para(609(a,1),13314(a,1,2)),flip(a)]. given #12112 (H,wt=21): 13345 K((x * y) \ z,T(u,y)) = K(((x \ z) * x) / (y * x),u). [hyper(8158,a,13335,a)]. given #12113 (H,wt=21): 13349 K(x,T(1 / (y * z),y)) = K(x,(z * y) \ K(z,1 / z)). [para(467(a,1),13319(a,1,2)),flip(a)]. given #12114 (H,wt=22): 13333 (K(x,T(y,z)) * u) * (u \ z) = z * L(K(x,y),u,u \ z). [para(13322(a,1),7897(a,2,2))]. given #12115 (H,wt=22): 13344 K(x,1 / L(y,z,u)) * (z * u) = (K(x,1 / y) * z) * u. [para(6104(a,1),13328(a,1,1))]. given #12116 (H,wt=23): 13320 ((x * y) * z) * K(y * z,L(x,y,z)) = (y * z) * R(x,y,z). [para(13314(a,1),485(a,1,2))]. given #12117 (H,wt=20): 13354 ((x * y) * z) * K(y * z,x) = (y * z) * R(x,y,z). [para(11599(a,1),13320(a,1,2))]. given #12118 (H,wt=19): 13355 R(x,y,z) * T(y * z,x) = (y * z) * R(x,y,z). [hyper(5732,a,13354,a)]. given #12119 (H,wt=19): 13356 ((x * y) * z) * a(z,x,y) = (x * y) * R(z,x,y). [hyper(228,a,11031,a,b,13355,a(flip)),flip(a)]. given #12120 (H,wt=23): 13339 (x \ K(L(y,z,u) \ 1,w)) \ (x \ 1) = K(w,R(y,z,u) \ 1). [para(13338(a,1),4892(a,1,1,2))]. given #12121 (H,wt=17): 13358 K(x,R(y,z,u) \ 1) = K(x,L(y,z,u) \ 1). [hyper(4939,a,13339,a),flip(a)]. given #12122 (H,wt=24): 13324 K(x,L(y,z,u)) * (x \ R(x,z,u)) = R(T(x,y),z,u) * (x \ 1). [para(13316(a,1),6472(a,1,1))]. given #12123 (H,wt=24): 13330 L(L(K(x,y),z,u),w,v5) * (z * u) = (L(K(x,y),w,v5) * z) * u. [para(13322(a,1),482(a,1,1,1))]. given #12124 (H,wt=24): 13334 L(K(x,y),z,u) \ (u * (K(x,y) * z)) = z * T(u,K(x,y) * z). [para(13322(a,1),11376(a,1,1))]. given #12125 (H,wt=24): 13340 K(x,K((y / z) / u,L(w,y / z,z))) = K(x,K(w,y / (u * z))). [para(13318(a,1),8959(a,2,2))]. given #12126 (H,wt=24): 13346 K(((x \ y) * x) / (z * x),u) != w | K((x * z) \ y,T(u,z)) = w. [para(13335(a,1),8158(a,1))]. given #12127 (H,wt=24): 13347 K(L((x / y) / K(z,u),K(z,u),y),w) = K(x / (K(u,z) \ y),w). [para(5035(a,2),13336(a,2,1,2))]. given #12128 (H,wt=24): 13360 L(K(x,y),z,u) * (u * (K(y,x) * z)) = z * T(u,K(y,x) * z). [hyper(6449,a,13334,a)]. given #12129 (H,wt=24): 13362 K(L((x / y) * K(z,u),K(u,z),y),w) = K(x / (K(z,u) \ y),w). [para(5063(a,1),13347(a,1,1,1))]. given #12130 (H,wt=25): 13352 (x * K(y,z)) * a(y,u,K(x / u,z)) = x * L(K(y,z),u,u \ x). [hyper(228,a,13130,a,b,13333,a(flip)),flip(a)]. given #12131 (H,wt=17): 13364 a(x \ y,x,K(z,u)) = a(u,x,K(y / x,z)). [hyper(9702,a,13352,a)]. given #12132 (H,wt=17): 13365 a(x,y,K((y * z) / y,u)) = a(z,y,K(u,x)). [para(13(a,1),13364(a,1,1)),flip(a)]. given #12133 (H,wt=15): 13367 a(x,y,K(z,T(u,y))) = a(z,y,K(u,x)). [para(7838(a,1),13365(a,1,3))]. given #12134 (H,wt=26): 13353 K(x,1 / L(y,z,u)) * (z * T(u,z)) = (K(x,1 / y) * z) * T(u,z). [para(11015(a,1),13344(a,1,1,2,2))]. given #12135 (H,wt=26): 13361 K(x,K((y / z) * u,L(w,y / z,z))) = K(x,K(w,y / ((1 / u) * z))). [para(5644(a,1),13340(a,1,2))]. given #12136 (H,wt=28): 13359 K(x,L((y / z) \ u,y / z,z) \ 1) = K(x,T((u * z) / y,y / z) \ 1). [para(720(a,1),13358(a,1,2,1)),flip(a)]. given #12137 (H,wt=28): 13368 K(x,K(y,L(z,u,w))) * (u * T(w,u)) = (K(x,1 / K(y,z)) * u) * T(w,u). [para(8514(a,1),13353(a,1,1))]. given #12138 (H,wt=26): 13370 K(x,K(y,L(z,u,w))) * (w * u) = (K(x,1 / K(y,z)) * u) * T(w,u). [para(113(a,1),13368(a,1,2))]. given #12139 (H,wt=28): 13369 K(x,L((y / z) \ u,y / z,z) \ 1) = K(x,T(((u * z) / y) \ 1,y / z)). [hyper(228,a,7165,a(flip),b,13359,a)]. given #12140 (H,wt=26): 13371 K(x,L((y / z) \ u,y / z,z) \ 1) = K(x,T(y / (u * z),y / z)). [hyper(228,a,9086,a(flip),b,13369,a)]. given #12141 (H,wt=23): 13372 K(x,T(y / (z * u),y / u)) = K(x,(u * z) \ (u * (y / u))). [hyper(5764,a,13371,a),flip(a)]. given #12142 (H,wt=29): 13337 K(L(x * K(y,x),y,z),T(u,y * z)) != w | K((y * z) \ ((y * x) * z),u) = w. [para(13323(a,1),7656(a,1))]. given #12143 (H,wt=30): 13321 K(x,K((1 / (y \ z)) / u,L(u / y,y,y \ z))) = K(x,K(z,(1 / (y \ z)) / u)). [para(13314(a,1),9741(a,1,2))]. given #12144 (H,wt=31): 13341 x \ (y * (K((y \ x) / (z / y),u) * (y \ x))) = K(((y \ x) * y) / z,T(u,y \ x)). [hyper(7179,a,13327,a)]. given #12145 (H,wt=31): 13363 T((x * (K(y,z) * u)) * L(K(z,y),u,x),K(y,L(z,u,x))) = u * T(x,K(y,z) * u). [hyper(228,a,11457,a,b,13360,a(flip)),flip(a)]. given #12146 (H,wt=24): 13375 T(x * T(y,K(z,u)),K(z,L(u,y,x))) = y * T(x,K(z,u) * y). [para(11864(a,1),13363(a,1,1))]. given #12147 (H,wt=24): 13376 T(x * T(y,K(z,u)),K(u,L(z,y,x))) = y * T(x,K(u,z) * y). [para(7785(a,1),13375(a,1,1,2))]. given #12148 (H,wt=25): 13377 x \ ((y * T(x,K(z,u))) * K(z,K(u,y * x))) = T(y,K(u,z) * x). [hyper(13251,a,13376,a)]. given #12149 (H,wt=29): 13378 x \ ((y * T(x,K(z,u))) * (K(u,T(z,y * x)) * K(z,u))) = T(y,K(u,z) * x). [para(8001(a,2),13377(a,1,2,2))]. given #12150 (H,wt=29): 13379 x \ (((y * T(x,K(z,u))) * K(z,u)) * K(u,T(z,y * x))) = T(y,K(u,z) * x). [para(8858(a,2),13378(a,1,2))]. given #12151 (H,wt=31): 13373 K(x,T(y / (z * (z \ u)),y / (z \ u))) = K(x,T(u,z) \ ((z \ u) * (y / (z \ u)))). [hyper(228,a,12515,a(flip),b,13372,a)]. given #12152 (H,wt=27): 13381 K(x,T(y / z,y / (u \ z))) = K(x,T(z,u) \ ((u \ z) * (y / (u \ z)))). [para(14(a,1),13373(a,1,2,1,2))]. given #12153 (H,wt=33): 13350 K((x * y) \ z,T(u,y)) = (((w \ v5) \ v5) * K(u,((x \ z) * x) / (y * x))) \ T(w,w \ v5). [hyper(228,a,5061,a,b,13345,a)]. given #12154 (H,wt=24): 13382 K((x * y) \ z,T(u,y)) != w | K(((x \ z) * x) / (y * x),u) = w. [para(13350(a,2),5316(a,1))]. given #12155 (H,wt=33): 13357 ((K(x,y) * z) * u) * a(u,z,K(x,T(y,z))) = (z * K(x,T(y,z))) * R(u,z,K(x,T(y,z))). [para(7174(a,1),13356(a,1,1,1))]. given #12156 (H,wt=31): 13383 ((K(x,y) * z) * u) * a(x,z,K(y,u)) = (z * K(x,T(y,z))) * R(u,z,K(x,T(y,z))). [para(13367(a,1),13357(a,1,2))]. given #12157 (H,wt=24): 13384 (x * K(y,T(z,x))) * R(u,x,K(y,T(z,x))) = K(y,z) * (x * u). [hyper(13120,a,13383,a),flip(a)]. given #12158 (H,wt=22): 13385 (K(x,y) * z) * R(u,z,K(x,T(y,z))) = K(x,y) * (z * u). [para(7174(a,1),13384(a,1,1))]. given #12159 (H,wt=20): 13386 (K(x,y) * z) * R(u,z,K(x,y)) = K(x,y) * (z * u). [para(10628(a,1),13385(a,1,2))]. given #12160 (H,wt=13): 13387 R(x,y,K(z,u)) = L(x,y,K(z,u)). [hyper(445,a,13386,a),flip(a)]. given #12161 (H,wt=11): 13393 R(x,y,K(y,z)) != u | u = x. [para(13387(a,2),3865(a,1))]. given #12162 (H,wt=17): 13388 L(x,1 / (x * y),K(z,u)) = L(x,y,K(u,z)). [hyper(228,a,11091,a,b,13387,a(flip)),flip(a)]. given #12163 (H,wt=11): 13399 L(x,y,K(z,x)) != u | u = x. [para(13388(a,1),9942(a,1))]. given #12164 (H,wt=17): 13396 L(x,(x * y) \ 1,K(z,u)) = L(x,y,K(u,z)). [hyper(228,a,10384,a(flip),b,13388,a(flip)),flip(a)]. given #12165 (H,wt=17): 13400 L(x,y \ (x \ 1),K(z,u)) = L(x,y,K(u,z)). [para(118(a,1),13396(a,1,2))]. given #12166 (H,wt=18): 13395 T(x \ T(x,y),T(y,z)) != u | x \ T(x,y) = u. [para(4171(a,2),13393(a,1)),flip(b)]. given #12167 (H,wt=19): 13398 L(x,1 / (y * x),K(z,u)) = L(x,T(y,x),K(u,z)). [para(113(a,1),13388(a,1,2,2))]. given #12168 (H,wt=17): 13401 L(x,1 / (y * x),K(z,u)) = L(x,y,K(u,z)). [hyper(228,a,10673,a(flip),b,13398,a)]. given #12169 (H,wt=17): 13402 L(x,(y * x) \ 1,K(z,u)) = L(x,y,K(u,z)). [hyper(228,a,10384,a(flip),b,13401,a(flip)),flip(a)]. given #12170 (H,wt=17): 13403 L(x,x \ (y \ 1),K(z,u)) = L(x,y,K(u,z)). [para(118(a,1),13402(a,1,2))]. given #12171 (H,wt=22): 13391 L(x \ (y / K(z,u)),x,K(z,u)) = T(y / (x * K(z,u)),x). [hyper(228,a,609,a(flip),b,13387,a(flip))]. given #12172 (H,wt=21): 13404 T(x / (y * K(z,u)),y) = (K(z,u) * y) \ T(x,K(z,u)). [hyper(228,a,8044,a(flip),b,13391,a(flip))]. given #12173 (H,wt=22): 13392 L(x,x \ y,K(z,u)) \ (y * K(z,u)) = (x \ y) * K(z,u). [para(13387(a,1),472(a,1,1))]. given #12174 (H,wt=24): 13390 L(x / (y \ K(z,u)),y \ K(z,u),K(u,z)) = (K(z,u) / x) \ y. [hyper(228,a,4904,a(flip),b,13387,a(flip))]. given #12175 (H,wt=23): 13405 x / (y \ K(z \ u,u \ z)) = (K(z \ u,u \ z) / x) \ y. [hyper(9941,a,13390,a),flip(a)]. given #12176 (H,wt=27): 13406 x / (y * (z \ K(u \ w,w \ u))) = (K(u \ w,w \ u) / x) \ (z / y). [para(6753(a,1),13405(a,1,2))]. given #12177 (H,wt=31): 13407 x / (y * (z * (u \ K(w \ v5,v5 \ w)))) = (K(w \ v5,v5 \ w) / x) \ ((u / z) / y). [para(6753(a,1),13406(a,1,2,2))]. given #12178 (H,wt=33): 13380 x \ (((y * T(x,K(z,u))) * K(z,u)) * K(u,T(z,y * T(x,K(z,w))))) = T(y,K(u,z) * x). [para(8243(a,2),13379(a,1,2,2,2))]. given #12179 (H,wt=34): 13342 K(((x \ y) * x) / z,T(u,x \ y)) != w | y \ (x * (K((x \ y) / (z / x),u) * (x \ y))) = w. [para(13327(a,1),7179(a,1))]. given #12180 (H,wt=37): 13351 K((K(x,y) * T(z,K(y,x))) \ u,T(w,T(z,K(y,x)))) = K(((K(x,y) \ u) * K(x,y)) / (K(x,y) * z),w). [para(5981(a,1),13345(a,2,1,2))]. given #12181 (H,wt=33): 13410 K((x * K(y,z)) \ u,T(w,T(x,K(z,y)))) = K(((K(y,z) \ u) * K(y,z)) / (K(y,z) * x),w). [para(7792(a,1),13351(a,1,1,1))]. given #12182 (H,wt=40): 13408 (K(x \ y,y \ x) / ((z * u) * (w \ K(x \ y,y \ x)))) \ ((w / u) / z) = a(z,u,w \ K(x \ y,y \ x)). [hyper(13204,a,13407,a),flip(a)]. given #12183 (H,wt=40): 13411 ((K(x \ y,y \ x) / K(x \ y,y \ x)) \ (z / (u * w))) \ ((z / w) / u) = a(u,w,z \ K(x \ y,y \ x)). [para(13406(a,1),13408(a,1,1))]. given #12184 (H,wt=26): 13412 a(x,y,z \ K(u \ w,w \ u)) = (1 \ (z / (x * y))) \ ((z / y) / x). [para(58(a,1),13411(a,1,1,1)),flip(a)]. given #12185 (H,wt=24): 13413 a(x,y,z \ K(u \ w,w \ u)) = (z / (x * y)) \ ((z / y) / x). [para(51(a,1),13412(a,2,1))]. given #12186 (H,wt=18): 13415 (x / (y * z)) \ ((x / z) / y) = a(y,z,x \ 1). [hyper(10859,a,13413,a),flip(a)]. given #12187 (H,wt=18): 13417 ((x / y) / z) / (x / (z * y)) = a(z,y,x \ 1). [hyper(228,a,3540,a,b,13415,a(flip)),flip(a)]. given #12188 (H,wt=20): 13418 ((x * y) / (z * y)) \ (x / z) = a(z,y,(x * y) \ 1). [para(15(a,1),13415(a,1,2,1))]. given #12189 (H,wt=20): 13419 ((x * y) / (z * y)) \ (x / z) = a(z,y,y \ (x \ 1)). [para(118(a,1),13418(a,2,3))]. given #12190 (H,wt=24): 13416 T(((x / y) / z) / (x / (z * y)),x / (z * y)) = a(z,y,x \ 1). [hyper(289,a,13415,a)]. given #12191 (H,wt=19): 13422 T(a(x,y,z \ 1),z / (x * y)) = a(x,y,z \ 1). [para(13417(a,1),13416(a,1,1))]. given #12192 (H,wt=31): 13421 K(a(x,y,y \ (z \ 1)),T(u,z / x)) != w | K((z / x) / ((z * y) / (x * y)),u) = w. [para(13419(a,1),7963(a,1,1))]. given #12193 (H,wt=35): 13420 K(x,T(a(y,z,z \ (u \ 1)),(u * z) / (y * z))) != w | K(x,(u / y) / ((u * z) / (y * z))) = w. [para(13419(a,1),7960(a,1,2,1))]. given #12194 (H,wt=41): 13374 K(x,T(y / ((z / (z * u)) * (z * u)),y / (z * u))) = K(x,(z * K(z * u,u \ 1)) \ ((z * u) * (y / (z * u)))). [para(5574(a,1),13372(a,2,2,1))]. given #12195 (H,wt=33): 13423 K(x,T(y / z,y / (z * u))) = K(x,(z * K(z * u,u \ 1)) \ ((z * u) * (y / (z * u)))). [para(16(a,1),13374(a,1,2,1,2))]. given #12196 (H,wt=41): 13409 x \ (((y * T(x,K(z,u))) * K(z,u)) * ((K(z,u) * (y * T(x,K(z,w)))) \ (y * T(x,K(z,w))))) = T(y,K(u,z) * x). [para(7160(a,2),13380(a,1,2,2))]. given #12197 (H,wt=21): 13424 x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(u,z) * x). [para(5959(a,2),13409(a,1,2))]. given #12198 (H,wt=21): 13426 x \ T(y * T(x,K(z,u)),K(u,z)) = T(y,K(z,u) * x). [para(7785(a,1),13424(a,1,2,1,2))]. given #12199 (H,wt=21): 13429 x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(z,u) * x). [para(7785(a,1),13426(a,1,2))]. given #12200 (H,wt=15): 13430 T(x,K(y,z) * u) = T(x,K(z,y) * u). [hyper(228,a,13424,a(flip),b,13429,a(flip))]. given #12201 (H,wt=17): 13431 x \ T(x,K(y,z) * u) = K(x,K(z,y) * u). [hyper(71,a,13430,a,b,4705,a(flip))]. given #12202 (H,wt=15): 13434 K(x,K(y,z) * u) = K(x,K(z,y) * u). [hyper(4773,a,13431,a)]. given #12203 (H,wt=15): 13436 K(x,K(y,z) \ u) = K(x,K(y,z) * u). [para(5035(a,2),13434(a,1,2))]. given #12204 (H,wt=15): 13439 K(x,K(y,z) \ u) = K(x,K(z,y) \ u). [para(5035(a,2),13436(a,2,2))]. given #12205 (H,wt=17): 13433 T(x,K(y,z) * (z * u)) = T(x,T(z,y) * u). [para(4720(a,1),13430(a,1,2)),flip(a)]. given #12206 (H,wt=17): 13437 K(x,K(y,z) * (y \ u)) = K(x,T(y,z) \ u). [para(5004(a,1),13434(a,1,2)),flip(a)]. given #12207 (H,wt=17): 13441 T(x,((y * z) / y) * u) = T(x,T(z,y) * u). [para(5523(a,1),13433(a,1,2))]. given #12208 (H,wt=15): 13444 T(x,T(T(y,z),z) * u) = T(x,y * u). [para(166(a,1),13441(a,1,2,1)),flip(a)]. given #12209 (H,wt=17): 13443 K(x,((y * z) / y) \ u) = K(x,T(z,y) \ u). [para(4978(a,2),13437(a,1,2))]. given #12210 (H,wt=18): 13435 K(x,K(y,z) * u) != w | K(x,K(z,y) * u) = w. [para(13431(a,1),4773(a,1))]. given #12211 (H,wt=19): 13432 T(x,K(y,z) * T(u,K(z,y))) = T(x,u * K(z,y)). [para(113(a,1),13430(a,1,2)),flip(a)]. given #12212 (H,wt=19): 13442 K(x,K(y,z) * (y \ (z \ 1))) = K(x,z \ (y \ 1)). [para(429(a,1),13437(a,2,2))]. given #12213 (H,wt=17): 13448 K(x,y \ (T(z,y) \ 1)) = K(x,z \ (y \ 1)). [para(5453(a,1),13442(a,1,2))]. given #12214 (H,wt=19): 13445 T(T(x,K(y,z)),z * y) = T(x,y * T(T(z,u),u)). [hyper(12384,a,13444,a),flip(a)]. given #12215 (H,wt=15): 13450 T(x,y * T(T(z,u),u)) = T(x,y * z). [hyper(12376,a,13445,a),flip(a)]. given #12216 (H,wt=17): 13451 T(x,y * ((z * u) / z)) = T(x,y * T(u,z)). [para(165(a,1),13450(a,1,2,2,1)),flip(a)]. given #12217 (H,wt=19): 13452 K(x * ((y * z) / y),u) = u / T(u,x * T(z,y)). [para(13451(a,1),4645(a,2,2))]. given #12218 (H,wt=17): 13453 K(x * ((y * z) / y),u) = K(x * T(z,y),u). [hyper(228,a,4645,a,b,13452,a)]. given #12219 (H,wt=20): 13446 K(x,(L(y,z,y) * z) \ u) = K(x,T(z * y,y) \ u). [para(4050(a,1),13443(a,1,2,1))]. given #12220 (H,wt=17): 13455 K(x,T(y * z,z) \ u) = K(x,(z * y) \ u). [hyper(228,a,12861,a(flip),b,13446,a(flip))]. given #12221 (H,wt=18): 13457 K(x,(x * y) \ z) != u | K(x,(y * x) \ z) = u. [para(13455(a,1),8193(a,1))]. given #12222 (H,wt=21): 13438 K(x,K(y,z \ u) * (u / z)) = K(x,T(u / z,T(y,z))). [para(7333(a,1),13434(a,1,2)),flip(a)]. given #12223 (H,wt=21): 13440 K(x,L(K(y,z),u,w) \ v5) = K(x,K(L(z,u,w),y) \ v5). [para(11389(a,2),13439(a,1,2,1))]. given #12224 (H,wt=21): 13447 T(x,K(y,z) * (u * K(K(z,y),u))) = T(x,u * K(z,y)). [para(7744(a,2),13432(a,1,2,2))]. given #12225 (H,wt=23): 13449 a(x \ (T(y,x) \ 1),z,K(u,w)) = a(u,z,K(w,y \ (x \ 1))). [para(13448(a,1),12990(a,1,3)),flip(a)]. given #12226 (H,wt=25): 13427 x \ T(y * T(x,K(z,u)),K(u,z * u)) = T(y,K(z * u,u) * x). [para(7994(a,1),13424(a,1,2,1,2))]. given #12227 (H,wt=23): 13458 x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(z * u,u) * x). [para(7994(a,1),13427(a,1,2))]. given #12228 (H,wt=17): 13459 T(x,K(y * z,z) * u) = T(x,K(y,z) * u). [hyper(228,a,13429,a(flip),b,13458,a(flip))]. given #12229 (H,wt=17): 13460 T(x,K(y * z,y) * u) = T(x,K(z,y) * u). [para(5647(a,1),13459(a,1,2,1))]. given #12230 (H,wt=17): 13461 T(x,K(y,y * z) * u) = T(x,K(z,y) * u). [hyper(228,a,13430,a,b,13460,a(flip)),flip(a)]. given #12231 (H,wt=17): 13462 T(x,K(y \ z,y) * u) = T(x,K(z,y) * u). [para(14(a,1),13460(a,1,2,1,1)),flip(a)]. given #12232 (H,wt=19): 13464 K(x,K(y \ z,y) * u) = x \ T(x,K(z,y) * u). [hyper(71,a,13462,a(flip),b,4705,a(flip)),flip(a)]. given #12233 (H,wt=20): 13465 K(x,K(y \ z,y) * u) != w | K(x,K(z,y) * u) = w. [para(13464(a,2),4773(a,1))]. given #12234 (H,wt=23): 13463 T(T(x,K(y,K(z,u))),K(u,z) * y) = T(x,y * K(z,z * u)). [hyper(12383,a,13461,a),flip(a)]. given #12235 (H,wt=17): 13466 T(x,y * K(z,z * u)) = T(x,y * K(u,z)). [hyper(12382,a,13463,a),flip(a)]. given #12236 (H,wt=25): 13428 x \ T(y * T(x,K(z,u)),K(z,1 / u)) = T(y,K(1 / u,z) * x). [para(8121(a,1),13424(a,1,2,1,2))]. given #12237 (H,wt=23): 13467 x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(1 / u,z) * x). [para(8121(a,1),13428(a,1,2))]. given #12238 (H,wt=17): 13468 T(x,K(1 / y,z) * u) = T(x,K(y,z) * u). [hyper(228,a,13424,a(flip),b,13467,a(flip))]. given #12239 (H,wt=17): 13469 T(x,K(y \ 1,z) * u) = T(x,K(y,z) * u). [para(61(a,1),13468(a,1,2,1,1)),flip(a)]. given #12240 (H,wt=19): 13470 K(x,K(y \ 1,z) * u) = x \ T(x,K(y,z) * u). [hyper(71,a,13469,a(flip),b,4705,a(flip)),flip(a)]. given #12241 (H,wt=17): 13472 K(x,K(y \ 1,z) * u) = K(x,K(y,z) * u). [hyper(228,a,4649,a,b,13470,a)]. given #12242 (H,wt=17): 13474 K(x,K(y,z \ 1) * u) = K(x,K(z,y) * u). [hyper(13435,a,13472,a)]. given #12243 (H,wt=19): 13477 K(x,K(y \ z,u) * w) = K(x,K(u,z \ y) * w). [para(5558(a,1),13474(a,1,2,1)),flip(a)]. given #12244 (H,wt=17): 13480 K(x,K(y,z \ y) * u) = K(x,K(z,y) * u). [hyper(13465,a,13477,a),flip(a)]. given #12245 (H,wt=19): 13481 K(x,T(y,z \ y) \ u) = K(x,K(z,y) * (y \ u)). [hyper(228,a,13437,a(flip),b,13480,a(flip)),flip(a)]. given #12246 (H,wt=17): 13483 K(x,T(y,z \ y) \ u) = K(x,T(y,z) \ u). [para(5004(a,1),13481(a,2,2))]. given #12247 (H,wt=20): 13473 K(x,K(y \ 1,z) * u) != w | K(x,K(y,z) * u) = w. [para(13470(a,2),4773(a,1))]. given #12248 (H,wt=21): 13475 K(x,K(y,z) * (y \ u)) = K(x,u * T(u \ (y \ u),z)). [para(4964(a,1),13472(a,1,2)),flip(a)]. given #12249 (H,wt=21): 13478 K(x,K(y,z) * T(u,K(z,y))) = K(x,u * K(z,y \ 1)). [para(8122(a,1),13474(a,1,2)),flip(a)]. given #12250 (H,wt=17): 13485 K(x,y * K(z,u \ 1)) = K(x,y * K(u,z)). [para(7792(a,1),13478(a,1,2)),flip(a)]. given #12251 (H,wt=19): 13486 K(x * K(y,z \ 1),u) = 1 / K(u,x * K(z,y)). [para(13485(a,1),4894(a,1,2)),flip(a)]. given #12252 (H,wt=17): 13487 K(x * K(y,z \ 1),u) = K(x * K(z,y),u). [hyper(228,a,4894,a(flip),b,13486,a)]. given #12253 (H,wt=23): 13471 T(x,K(y,z) * T(u,K(z,y \ 1))) = T(x,u * K(y \ 1,z)). [para(7792(a,1),13469(a,1,2)),flip(a)]. given #12254 (H,wt=21): 13489 T(x,K(y,z) * T(u,K(y,z))) = T(x,u * K(y \ 1,z)). [para(8115(a,1),13471(a,1,2,2))]. given #12255 (H,wt=17): 13490 T(x,y * K(z \ 1,u)) = T(x,y * K(z,u)). [para(113(a,1),13489(a,1,2)),flip(a)]. given #12256 (H,wt=23): 13488 K(((x * (y \ z)) / x) * y,u) = K(z * K(z \ y,x),T(u,y)). [hyper(228,a,12348,a,b,13487,a(flip)),flip(a)]. given #12257 (H,wt=25): 13482 K(x,T(y / z,T(u \ (z \ y),z))) = K(x,K(u,z \ y) * (y / z)). [para(7333(a,1),13480(a,1,2))]. given #12258 (H,wt=23): 13491 K(x,T(y / z,T(u \ (z \ y),z))) = K(x,T(y / z,T(u,z))). [hyper(228,a,13438,a(flip),b,13482,a)]. given #12259 (H,wt=21): 13492 K(x,T(y / z,y / (z * u))) = K(x,T(y / z,T(u,z))). [para(9991(a,1),13491(a,1,2))]. given #12260 (H,wt=28): 13476 L(K(x,K(y,z) * (u \ w)),u \ w,u) = K(x,(K(z,y \ K(y,u)) * u) \ w). [para(13472(a,1),6662(a,1,1))]. given #12261 (H,wt=23): 13495 K(x,(K(y,z \ K(z,u)) * u) \ w) = K(x,(u * K(y,z)) \ w). [hyper(6783,a,13476,a),flip(a)]. given #12262 (H,wt=21): 13496 K(x,(y * K(z,u \ 1)) \ w) = K(x,(y * K(z,u)) \ w). [para(6460(a,1),13495(a,1,2,1))]. given #12263 (H,wt=28): 13479 L(K(x,K(y,z) * (u \ w)),u \ w,u) = K(x,(K(y \ K(y,u),z) * u) \ w). [para(13474(a,1),6661(a,1,1))]. given #12264 (H,wt=23): 13497 K(x,(K(y \ K(y,z),u) * z) \ w) = K(x,(z * K(u,y)) \ w). [hyper(6783,a,13479,a),flip(a)]. given #12265 (H,wt=21): 13498 K(x,(y * K(z \ 1,u)) \ w) = K(x,(y * K(u,z)) \ w). [para(6423(a,1),13497(a,1,2,1))]. given #12266 (H,wt=29): 13425 (x * K(K(y,z),x)) \ T(u * x,K(y,z)) = T(u,K(z,y) * (x * K(K(y,z),x))). [para(4674(a,1),13424(a,1,2,1,2))]. given #12267 (H,wt=27): 13500 T(x,K(y,z)) \ T(u * x,K(y,z)) = T(u,K(z,y) * (x * K(K(y,z),x))). [para(7744(a,1),13425(a,1,1))]. given #12268 (H,wt=21): 13501 T(x,K(y,z)) \ T(u * x,K(y,z)) = T(u,x * K(y,z)). [hyper(228,a,13447,a(flip),b,13500,a)]. given #12269 (H,wt=29): 13454 K((x \ y) * ((z * ((x \ y) \ (x \ u))) / z),w) = K(x \ (y * T(y \ u,z)),w). [para(1439(a,1),13453(a,2,1))]. given #12270 (H,wt=25): 13502 K(x \ (y * ((z * (y \ u)) / z)),w) = K(x \ (y * T(y \ u,z)),w). [para(1969(a,1),13454(a,1,1))]. given #12271 (H,wt=21): 13503 K(x \ (y * T(y \ 1,z)),u) = K(x \ K(z,y \ 1),u). [para(4692(a,1),13502(a,1,1,2)),flip(a)]. given #12272 (H,wt=19): 13504 K(x \ K(y \ 1,z),u) = K(x \ K(z,y \ 1),u). [para(4650(a,1),13503(a,1,1,2))]. given #12273 (H,wt=25): 13505 (x \ K(y \ K(z,u \ 1),w)) \ (x \ 1) = K(w,y \ K(u \ 1,z)). [para(13504(a,1),4892(a,1,1,2))]. given #12274 (H,wt=19): 13506 K(x,y \ K(z \ 1,u)) = K(x,y \ K(u,z \ 1)). [hyper(4939,a,13505,a),flip(a)]. given #12275 (H,wt=31): 13493 K(x,(y * K(y * z,z \ 1)) \ ((y * z) * (u / (y * z)))) = K(x,T(u / y,T(z,y))). [hyper(228,a,13423,a(flip),b,13492,a(flip)),flip(a)]. given #12276 (H,wt=29): 13507 K(x,(y * K(y * z,z)) \ ((y * z) * (u / (y * z)))) = K(x,T(u / y,T(z,y))). [hyper(228,a,13496,a(flip),b,13493,a(flip)),flip(a)]. given #12277 (H,wt=27): 13508 K(x,(y * K(y,z)) \ ((y * z) * (u / (y * z)))) = K(x,T(u / y,T(z,y))). [hyper(228,a,12860,a(flip),b,13507,a(flip)),flip(a)]. given #12278 (H,wt=25): 13509 K(x,T(y,z) \ ((y * z) * (u / (y * z)))) = K(x,T(u / y,T(z,y))). [para(4705(a,2),13508(a,1,2,1))]. given #12279 (H,wt=31): 13510 K(x,T(y,z) \ ((y * T(z,y)) * (u / (y * T(z,y))))) = K(x,T(u / y,T(T(z,y),y))). [para(3921(a,1),13509(a,1,2,1))]. given #12280 (H,wt=29): 13511 K(x,T(y,z) \ ((z * y) * (u / (y * T(z,y))))) = K(x,T(u / y,T(T(z,y),y))). [para(113(a,1),13510(a,1,2,2,1))]. given #12281 (H,wt=27): 13512 K(x,T(y,z) \ ((z * y) * (u / (z * y)))) = K(x,T(u / y,T(T(z,y),y))). [para(113(a,1),13511(a,1,2,2,2,2))]. given #12282 (H,wt=23): 13513 K(x,T(y,z) \ ((z * y) * (u / (z * y)))) = K(x,T(u / y,z)). [para(7927(a,1),13512(a,2,2))]. given #12283 (H,wt=33): 13484 K(x,(y * z) * T((y * z) \ ((z * K(y,z)) \ (y * z)),u)) = K(x,K(z * K(y,z),u) * y). [para(4743(a,1),13475(a,1,2,2)),flip(a)]. given #12284 (H,wt=31): 13515 K(x,(y * z) * T((y * z) \ ((z * K(y,z)) \ (y * z)),u)) = K(x,K(z,T(u,y)) * y). [para(7858(a,1),13484(a,2,2,1))]. given #12285 (H,wt=29): 13516 K(x,(y * z) * T((y * z) \ ((z * K(y,z)) \ (y * z)),u)) = K(x,y * K(z,u)). [para(7823(a,1),13515(a,2,2))]. given #12286 (H,wt=21): 13517 K(x,(y * z) * T((y * z) \ y,u)) = K(x,y * K(z,u)). [para(4743(a,1),13516(a,1,2,2,1,2))]. given #12287 (H,wt=17): 13518 K(x,y * K(z \ 1,u)) = K(x,y * K(z,u)). [para(4961(a,1),13517(a,1,2))]. given #12288 (H,wt=19): 13519 K(x * K(y \ 1,z),u) = 1 / K(u,x * K(y,z)). [para(13518(a,1),4894(a,1,2)),flip(a)]. given #12289 (H,wt=17): 13520 K(x * K(y \ 1,z),u) = K(x * K(y,z),u). [hyper(228,a,4894,a(flip),b,13519,a)]. given #12290 (H,wt=21): 13521 K(x * K(x \ y,z),T(u,y)) = K(y * T(x / y,z),u). [hyper(228,a,12351,a(flip),b,13520,a(flip))]. given #12291 (H,wt=21): 13522 K(((x * (y \ z)) / x) * y,u) = K(y * T(z / y,x),u). [hyper(228,a,13488,a,b,13521,a(flip)),flip(a)]. given #12292 (H,wt=25): 13523 K(((x * y) / x) / z,u) = K((z \ 1) * T((z \ y) / (z \ 1),x),u). [hyper(12824,a,13522,a)]. given #12293 (H,wt=21): 13524 K(x \ T((x \ y) * x,z),u) = K(((z * y) / z) / x,u). [hyper(228,a,12412,a(flip),b,13523,a),flip(a)]. given #12294 (H,wt=19): 13525 K(T(x \ T(y,z),x),u) = K(((z * y) / z) / x,u). [para(4478(a,1),13524(a,1,1))]. given #12295 (H,wt=17): 13526 K(((x * y) / x) / z,u) = K(T(y,x) / z,u). [hyper(8171,a,13525,a),flip(a)]. given #12296 (H,wt=23): 13527 K(T(x * K(y,x),z) / z,u) = K(T(x,y) / T(z,T(x,y)),u). [hyper(228,a,9847,a,b,13526,a(flip)),flip(a)]. given #12297 (H,wt=21): 13528 K(T(x,y) / T(z,T(x,y)),u) = K(z \ (x * K(y,x)),u). [hyper(12659,a,13527,a),flip(a)]. given #12298 (H,wt=17): 13529 K(x \ (y * K(z,y)),u) = K(x \ T(y,z),u). [hyper(12660,a,13528,a),flip(a)]. given #12299 (H,wt=15): 13530 K(x \ T(T(y,z),z),u) = K(x \ y,u). [para(4824(a,1),13529(a,1,1,2)),flip(a)]. given #12300 (H,wt=17): 13531 K(x,y \ T(T(z,u),u)) = 1 / K(y \ z,x). [para(13530(a,1),4894(a,1,2)),flip(a)]. given #12301 (H,wt=15): 13532 K(x,y \ T(T(z,u),u)) = K(x,y \ z). [hyper(228,a,4894,a(flip),b,13531,a)]. given #12302 (H,wt=17): 13534 K(x,y \ (z * K(u,z))) = K(x,y \ T(z,u)). [para(4674(a,1),13532(a,1,2,2,1)),flip(a)]. given #12303 (H,wt=17): 13535 K(x,(y \ z) \ K(u,y)) = K(x,z \ T(y,u)). [hyper(228,a,5937,a,b,13534,a(flip)),flip(a)]. given #12304 (H,wt=21): 13536 K(x,(y \ z) \ K(u \ 1,y)) = K(x,z \ T(y,1 / u)). [para(2853(a,1),13535(a,1,2,2))]. given #12305 (H,wt=23): 13533 K(x,y \ T(z * (u / T(z,u)),z)) = K(x,y \ (z * (u / z))). [para(3961(a,1),13532(a,1,2,2,1))]. given #12306 (H,wt=21): 13537 K(x,y \ ((z / T(u,z)) * u)) = K(x,y \ (u * (z / u))). [hyper(228,a,12532,a(flip),b,13533,a(flip)),flip(a)]. given #12307 (H,wt=17): 13538 K(x,y \ (z * (u / z))) = K(x,y \ T(u,z)). [para(3922(a,1),13537(a,1,2,2)),flip(a)]. given #12308 (H,wt=19): 13539 K(x,T(y,z) \ T(u,z * y)) = K(x,T(u / y,z)). [hyper(228,a,13513,a(flip),b,13538,a(flip))]. given #12309 (H,wt=33): 13494 K(x,T(y / z,T(T(z \ (u \ z),T(u,w)),z))) = K(x,T(y / z,y / (((u \ 1) \ 1) \ z))). [para(6455(a,1),13492(a,1,2,2,2)),flip(a)]. given #12310 (H,wt=29): 13541 K(x,T(y / z,T(T(z \ (u \ z),T(u,w)),z))) = K(x,T(y / z,y / (u \ z))). [para(9993(a,1),13494(a,2,2))]. given #12311 (H,wt=27): 13542 K(x,T(y / z,T((u \ z) / z,T(u,w)))) = K(x,T(y / z,y / (u \ z))). [para(7930(a,1),13541(a,1,2))]. given #12312 (H,wt=21): 13543 K(x,T(y / z,y / (u \ z))) = K(x,T(y / z,u \ 1)). [para(9556(a,1),13542(a,1,2)),flip(a)]. given #12313 (H,wt=19): 13544 K(x,T(y / z,y / (u \ z))) = K(x,T(y / z,u)). [hyper(228,a,8136,a(flip),b,13543,a)]. given #12314 (H,wt=23): 13546 K(x,T(y,z) \ ((z \ y) * (u / (z \ y)))) = K(x,T(u / y,z)). [hyper(228,a,13381,a(flip),b,13544,a(flip)),flip(a)]. given #12315 (H,wt=34): 13499 K(x,(y * K(z \ 1,u)) \ K(u,K(y * K(u,z),z))) = K(x,(L(K(u,z),y,K(u,z)) * y) \ 1). [para(7735(a,1),13498(a,2,2))]. given #12316 (H,wt=30): 13548 K(x,(y * K(z \ 1,u)) \ K(u,K(y,z))) = K(x,(L(K(u,z),y,K(u,z)) * y) \ 1). [para(7250(a,1),13499(a,1,2,2,2))]. given #12317 (H,wt=30): 13550 K(x,(y * K(z \ 1,u)) \ K(y,K(z,u))) = K(x,(L(K(u,z),y,K(u,z)) * y) \ 1). [para(7728(a,2),13548(a,1,2,2))]. given #12318 (H,wt=26): 13551 K(x,(L(K(y,z),u,K(y,z)) * u) \ 1) = K(x,(K(z \ 1,y) * u) \ 1). [para(8093(a,1),13550(a,1,2)),flip(a)]. given #12319 (H,wt=24): 13552 K(x,(L(K(y,z),u,K(y,z)) * u) \ 1) = K(x,u \ K(y,z \ 1)). [hyper(228,a,5570,a(flip),b,13551,a)]. given #12320 (H,wt=19): 13553 K(x,(K(y,z) * u) \ 1) = K(x,u \ K(y,z \ 1)). [hyper(228,a,12861,a(flip),b,13552,a(flip)),flip(a)]. given #12321 (H,wt=17): 13554 K(x,y \ K(z,u \ 1)) = K(x,y \ K(u,z)). [hyper(5767,a,13553,a),flip(a)]. given #12322 (H,wt=17): 13558 K(x,y \ K(z \ 1,u)) = K(x,y \ K(z,u)). [hyper(228,a,13506,a,b,13554,a(flip)),flip(a)]. given #12323 (H,wt=19): 13559 K(x,(y \ z) \ K(u,y)) = K(x,z \ T(y,1 / u)). [hyper(228,a,13536,a(flip),b,13558,a(flip))]. given #12324 (H,wt=17): 13560 K(x,y \ T(z,1 / u)) = K(x,y \ T(z,u)). [hyper(228,a,13535,a(flip),b,13559,a(flip))]. given #12325 (H,wt=17): 13561 K(x,y \ T(z,u \ 1)) = K(x,y \ T(z,u)). [para(61(a,1),13560(a,1,2,2,2)),flip(a)]. given #12326 (H,wt=21): 13562 K(x,y \ T(z,u \ (w \ u))) = K(x,y \ T(z,T(w,u))). [para(8452(a,1),13561(a,1,2,2))]. given #12327 (H,wt=35): 13547 K(x,T(y,T(y,z) / z) \ (T(z,y) * (u / ((T(y,z) / z) \ y)))) = K(x,T(u / y,T(y,z) / z)). [para(3960(a,1),13546(a,1,2,2,1))]. given #12328 (H,wt=33): 13563 K(x,T(y,z \ y) \ (T(z,y) * (u / ((T(y,z) / z) \ y)))) = K(x,T(u / y,T(y,z) / z)). [para(7145(a,1),13547(a,1,2,1))]. given #12329 (H,wt=29): 13564 K(x,T(y,z \ y) \ (T(z,y) * (u / T(z,y)))) = K(x,T(u / y,T(y,z) / z)). [para(3960(a,1),13563(a,1,2,2,2,2))]. given #12330 (H,wt=27): 13566 K(x,T(y,z) \ (T(z,y) * (u / T(z,y)))) = K(x,T(u / y,T(y,z) / z)). [hyper(228,a,13483,a(flip),b,13564,a(flip)),flip(a)]. given #12331 (H,wt=25): 13567 K(x,T(y,z) \ (T(z,y) * (u / T(z,y)))) = K(x,T(u / y,z \ y)). [para(12460(a,1),13566(a,2,2))]. given #12332 (H,wt=21): 13568 K(x,T(y,z) \ T(u,T(z,y))) = K(x,T(u / y,z \ y)). [hyper(228,a,13538,a(flip),b,13567,a(flip)),flip(a)]. given #12333 (H,wt=37): 13540 K(x,T(y * z,(y * z) \ z) \ T(u,z * K(y \ 1,z * y))) = K(x,T(u / (y * z),(y * z) \ z)). [para(6151(a,1),13539(a,1,2,2,2))]. given #12334 (H,wt=35): 13569 K(x,(((y * z) \ z) \ z) \ T(u,z * K(y \ 1,z * y))) = K(x,T(u / (y * z),(y * z) \ z)). [hyper(228,a,12511,a(flip),b,13540,a(flip)),flip(a)]. given #12335 (H,wt=33): 13570 K(x,(((y * z) \ z) \ z) \ T(u,z * K(y,z * y))) = K(x,T(u / (y * z),(y * z) \ z)). [para(13490(a,1),13569(a,1,2,2))]. given #12336 (H,wt=33): 13571 K(x,(((y * z) \ z) \ z) \ T(u,z * K(y,y * z))) = K(x,T(u / (y * z),(y * z) \ z)). [para(5433(a,1),13570(a,1,2,2,2,2))]. given #12337 (H,wt=31): 13572 K(x,(((y * z) \ z) \ z) \ T(u,z * K(z,y))) = K(x,T(u / (y * z),(y * z) \ z)). [para(13466(a,1),13571(a,1,2,2))]. given #12338 (H,wt=29): 13573 K(x,(((y * z) \ z) \ z) \ T(u,T(z,y))) = K(x,T(u / (y * z),(y * z) \ z)). [para(4705(a,2),13572(a,1,2,2,2))]. given #12339 (H,wt=27): 13574 K(x,T(y * z,z) \ T(u,T(z,y))) = K(x,T(u / (y * z),(y * z) \ z)). [hyper(12527,a,13573,a)]. given #12340 (H,wt=25): 13575 K(x,T(y / (z * u),(z * u) \ u)) = K(x,(u * z) \ T(y,T(u,z))). [hyper(228,a,13455,a(flip),b,13574,a(flip))]. given #12341 (H,wt=25): 13576 K(x,T(y / (z * u),u \ (z \ u))) = K(x,(u * z) \ T(y,T(u,z))). [para(8451(a,1),13575(a,1,2))]. given #12342 (H,wt=23): 13577 K(x,(y * z) \ T(u,T(y,z))) = K(x,T(u / (z * y),T(z,y))). [hyper(8455,a,13576,a),flip(a)]. given #12343 (H,wt=47): 13578 K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,(z * K(u \ 1,z * u)) \ T(y,T((z * u) \ z,z * u))). [para(4963(a,1),13577(a,1,2,1)),flip(a)]. given #12344 (H,wt=43): 13579 K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,(z * K(u \ 1,z * u)) \ T(y,z / (z * u))). [para(7928(a,1),13578(a,2,2,2))]. given #12345 (H,wt=43): 13580 K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,(z * K(u \ 1,z * u)) \ T(y,z \ (u \ z))). [para(8540(a,1),13579(a,2,2,2))]. given #12346 (H,wt=41): 13581 K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,(z * K(u \ 1,z * u)) \ T(y,T(u,z))). [hyper(228,a,13562,a(flip),b,13580,a)]. given #12347 (H,wt=39): 13582 K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,(z * K(z * u,u)) \ T(y,T(u,z))). [hyper(228,a,13498,a(flip),b,13581,a)]. given #12348 (H,wt=37): 13583 K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,(z * K(z,u)) \ T(y,T(u,z))). [hyper(228,a,12860,a(flip),b,13582,a)]. given #12349 (H,wt=35): 13584 K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,T(z,u) \ T(y,T(u,z))). [para(4705(a,2),13583(a,2,2,1))]. given #12350 (H,wt=33): 13585 K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,T(y / z,u \ z)). [hyper(228,a,13568,a(flip),b,13584,a)]. given #12351 (H,wt=25): 13586 K(x,T(y / z,T(z * u,(z * u) \ z))) = K(x,T(y / z,u \ z)). [para(14(a,1),13585(a,1,2,1,2))]. given #12352 (H,wt=21): 13587 K(x,T(y / z,T(z * u,z))) = K(x,T(y / z,u \ z)). [para(7092(a,1),13586(a,1,2))]. given #12353 (H,wt=19): 13588 K(x,T(y / z,u \ z)) = K(x,T(y / z,u * z)). [para(12358(a,1),13587(a,1,2)),flip(a)]. given #12354 (H,wt=19): 13589 K(x,T((y * z) / z,u * z)) = K(x,T(y,u \ z)). [para(15(a,1),13588(a,1,2,1)),flip(a)]. given #12355 (H,wt=15): 13591 K(x,T(y,z \ u)) = K(x,T(y,z * u)). [para(15(a,1),13589(a,1,2,1)),flip(a)]. given #12356 (H,wt=15): 13593 K(x,T(y,z \ u)) = K(x,T(y,u * z)). [hyper(8188,a,13591,a)]. given #12357 (H,wt=16): 13595 K(x,T(y,z * y)) != u | K(x,T(y,z)) = u. [para(13591(a,1),8150(a,1))]. given #12358 (H,wt=16): 13599 T(K(x,y),z * y) != u | K(x,T(y,z)) = u. [para(7152(a,1),13595(a,1))]. given #12359 (H,wt=16): 13600 T(K(x,y),y * z) != u | K(x,T(y,z)) = u. [para(6199(a,1),13599(a,1))]. given #12360 (H,wt=17): 13592 K(x,T(y,z * (u \ z))) = K(x,T(y,T(u,z))). [hyper(8455,a,13591,a),flip(a)]. given #12361 (H,wt=19): 13590 K(x,T(y / z,(z / u) * z)) = K(x,T(y / z,u)). [para(64(a,1),13588(a,1,2,2)),flip(a)]. given #12362 (H,wt=19): 13602 K(x,T(y / z,z * (u \ z))) = K(x,T(y / z,u)). [para(12541(a,1),13590(a,1,2))]. given #12363 (H,wt=17): 13603 K(x,T(y / z,T(u,z))) = K(x,T(y / z,u)). [hyper(228,a,13592,a(flip),b,13602,a(flip)),flip(a)]. given #12364 (H,wt=20): 13596 K(x,T(y,z * (u \ z))) != w | K(x,T(y,T(u,z))) = w. [para(13591(a,1),8455(a,1))]. given #12365 (H,wt=20): 13601 K(x,1 / (y / (y / (1 / z)))) != u | K(x,T(z,y)) = u. [para(8970(a,1),13599(a,1))]. given #12366 (H,wt=21): 13605 K(x,T(y / z,u)) * K(z \ y,T(x,u)) = K(x,K(y,z)). [para(13603(a,1),11853(a,1,1))]. given #12367 (H,wt=13): 13606 K(x,K(y,T(z,u))) = K(z,K(x,y)). [hyper(10920,a,13605,a)]. given #12368 (H,wt=13): 13607 K(x,K(y,T(z,u))) = K(x,K(z,y)). [hyper(8005,a,13606,a)]. given #12369 (H,wt=13): 13608 K(x,K(y,T(z,u))) = K(x,K(y,z)). [hyper(7955,a,13606,a)]. given #12370 (H,wt=13): 13617 T(K(x,K(y,z)),u) = K(x,K(y,z)). [hyper(8333,a,13608,a)]. given #12371 (H,wt=9): 13628 K(x,K(y,K(z,u))) = 1. [hyper(70,a,13617,a,b,4655,a),flip(a)]. given #12372 (H,wt=9): 13629 T(x,K(y,K(z,u))) = x. [hyper(35,a,13617,a)]. given #12373 (H,wt=11): 13635 K(x,T(y,K(z,u))) = K(x,y). [hyper(8774,a,13629,a)]. given #12374 (H,wt=11): 13636 T(x,T(y,K(z,u))) = T(x,y). [hyper(7672,a,13629,a)]. given #12375 (H,wt=13): 13618 K(K(x,y),T(z,u)) = K(x,K(y,z)). [hyper(7703,a,13608,a)]. given #12376 (H,wt=13): 13659 K(x,T(y,T(z,u))) = K(x,T(y,z)). [para(7663(a,1),13635(a,1,2))]. given #12377 (H,wt=13): 13690 K(x,T(y,T(z,u))) = T(K(x,y),z). [hyper(228,a,7152,a(flip),b,13659,a)]. given #12378 (H,wt=14): 13651 K(x,T(y,L(K(z,u),w,v5))) = K(x,y). [para(6100(a,1),13635(a,1,2,2))]. given #12379 (H,wt=14): 13661 K(x,T(y,K(z,u))) != w | K(x,y) = w. [para(13635(a,1),7908(a,1))]. given #12380 (H,wt=15): 13612 K(x * y,K(z,u)) = K(z,K(u,y * x)). [para(12365(a,1),13606(a,1,2)),flip(a)]. given #12381 (H,wt=15): 13613 K(x,K(y,z / u)) = K(x,K(y,u \ z)). [hyper(7958,a,13607,a),flip(a)]. given #12382 (H,wt=15): 13614 K(x,K(y \ z,u)) = K(x,K(u,z / y)). [para(7170(a,1),13607(a,1,2))]. given #12383 (H,wt=15): 13616 K(x,K(y,(z \ u) * z)) = K(x,K(u,y)). [para(12369(a,2),13607(a,1,2))]. given #12384 (H,wt=15): 13623 K(x,K(y,z)) * u = u * K(x,K(y,z)). [para(13608(a,1),7291(a,1,2)),flip(a)]. given #12385 (H,wt=15): 13626 K(x,K(y,z * u)) = K(x,K(y,u * z)). [para(12365(a,1),13608(a,1,2))]. given #12386 (H,wt=15): 13634 T(x,K(y,z) * u) = T(x,u * K(y,z)). [hyper(12374,a,13629,a)]. given #12387 (H,wt=15): 13641 K(x,K(y,z) * u) = K(x,u * K(y,z)). [hyper(12378,a,13635,a)]. given #12388 (H,wt=15): 13644 K(x,K(y,z) / u) = K(x,u \ K(y,z)). [hyper(8176,a,13635,a)]. given #12389 (H,wt=15): 13650 K(x,K(y,z) \ u) = K(x,u * K(z,y)). [para(5080(a,1),13635(a,1,2))]. given #12390 (H,wt=15): 13652 K(x,y) * K(z,u) = K(z,u) * K(x,y). [para(13635(a,1),7174(a,1,2))]. given #12391 (H,wt=15): 13654 K(x,y) \ K(z,u) = K(z,u) * K(y,x). [para(13635(a,1),7270(a,1,2)),flip(a)]. given #12392 (H,wt=15): 13669 K(x,T(y,z / u)) = K(x,T(y,u \ z)). [para(8552(a,1),13635(a,1,2)),flip(a)]. given #12393 (H,wt=15): 13683 T(x,T(y,z * u)) = T(x,T(y,u * z)). [para(12372(a,1),13636(a,1,2))]. given #12394 (H,wt=15): 13711 K(x,K(y,z / u)) = K(x,K(y,z \ u)). [hyper(8181,a,13613,a)]. given #12395 (H,wt=15): 13718 K(x,K(y,z)) \ u = u * K(x,K(y,z)). [hyper(7766,a,13623,a)]. given #12396 (H,wt=15): 13727 K(x,K(y,z) \ u) = K(x,u * K(y,z)). [hyper(228,a,13436,a,b,13641,a(flip)),flip(a)]. given #12397 (H,wt=15): 13737 K(x,y) \ K(z,u) = K(u,z) \ K(y,x). [hyper(228,a,5035,a,b,13654,a)]. given #12398 (H,wt=16): 13611 K(x,K(y,T(z,u))) != w | K(x,K(y,z)) = w. [para(13606(a,2),7760(a,1))]. given #12399 (H,wt=16): 13697 K(x,T(y,T(z,u))) != w | K(x,T(y,z)) = w. [para(13690(a,2),7634(a,1))]. given #12400 (H,wt=16): 13748 K(x,K(T(y,z),u)) != w | K(x,K(y,u)) = w. [para(7202(a,2),13611(a,1,2))]. given #12401 (H,wt=17): 13665 K(x,y) * (K(z,u) * x) = K(z,u) * T(x,y). [para(13635(a,1),8225(a,1,1))]. given #12402 (H,wt=17): 13666 K(x,T(y,z) * T(u,y)) = K(x,u * T(y,z)). [para(8273(a,1),13635(a,1,2))]. given #12403 (H,wt=17): 13674 T(K(x,y) * z,T(u,z)) = T(K(x,y) * z,u). [hyper(8220,a,13636,a)]. given #12404 (H,wt=17): 13677 T(x,(T(y,z) \ u) * K(y,z)) = T(x,y \ u). [para(6004(a,2),13636(a,1,2))]. given #12405 (H,wt=17): 13680 x * (K(y,z) * K(x,u)) = T(x,u) * K(y,z). [para(13636(a,1),7887(a,1,1)),flip(a)]. given #12406 (H,wt=17): 13700 K(x,T(y,L(K(z,u),w,v5))) != v6 | K(x,y) = v6. [para(13651(a,1),7908(a,1))]. given #12407 (H,wt=17): 13714 K(x,K(y,(1 / z) * u)) = K(x,K(y,u / z)). [para(5551(a,2),13613(a,2,2)),flip(a)]. given #12408 (H,wt=17): 13717 (x \ y) * K(x,K(z,u)) = T(x,K(z,u)) \ y. [hyper(7769,a,13623,a),flip(a)]. given #12409 (H,wt=17): 13720 K(x,K(y,z)) * (u / x) = u / T(x,K(y,z)). [hyper(228,a,7765,a(flip),b,13623,a)]. given #12410 (H,wt=17): 13724 T(x,K(y,z) * (u \ y)) = T(x,u \ T(y,z)). [para(6265(a,1),13634(a,2,2))]. given #12411 (H,wt=17): 13725 K(x,y * K(z \ 1,u)) = K(x,K(z,u) * y). [hyper(13473,a,13641,a),flip(a)]. given #12412 (H,wt=17): 13726 K(x,K(y,z) * (u \ 1)) = K(x,u \ K(y,z)). [hyper(228,a,5543,a(flip),b,13641,a)]. given #12413 (H,wt=17): 13730 K(x,K(y,z) \ (u / y)) = K(x,u / T(y,z)). [para(5205(a,1),13650(a,2,2))]. given #12414 (H,wt=17): 13746 K(x,K(y,z) \ (u / z)) = K(x,u / T(z,y)). [para(5205(a,1),13727(a,2,2))]. given #12415 (H,wt=18): 13615 K(x,K(y,z / u)) != w | K(x,K(y,u \ z)) = w. [para(13607(a,1),7958(a,1))]. given #12416 (H,wt=18): 13631 x * K(y,K(z,u)) != w | K(y,K(z,u)) * x = w. [para(13617(a,1),219(a,1,2))]. given #12417 (H,wt=18): 13638 T(x,K(y,z) * u) != w | T(x,u * K(y,z)) = w. [para(13629(a,1),12376(a,1,1))]. given #12418 (H,wt=18): 13658 K(x,K(y,z) / u) != w | K(x,u \ K(y,z)) = w. [para(13635(a,1),7191(a,1))]. given #12419 (H,wt=18): 13673 K(x,y * K(z,u)) != w | K(x,K(z,u) * y) = w. [para(13635(a,1),12378(a,1))]. given #12420 (H,wt=18): 13678 T(K(x,y),T(z,K(u,w))) != v5 | K(x,T(y,z)) = v5. [para(13636(a,2),7634(a,1))]. given #12421 (H,wt=18): 13701 K(x,y * K(z,u)) != w | K(x,K(u,z) \ y) = w. [para(5988(a,1),13661(a,1,2))]. given #12422 (H,wt=18): 13702 K(x,K(T(y,K(z,u)),w)) != v5 | K(x,K(y,w)) = v5. [para(7198(a,2),13661(a,1,2))]. given #12423 (H,wt=18): 13703 K(x,T(y,z \ u)) != w | K(x,T(y,u / z)) = w. [para(8552(a,1),13661(a,1,2))]. given #12424 (H,wt=18): 13705 K(x,T(y,z * u)) != w | K(x,T(y,u * z)) = w. [para(12372(a,1),13661(a,1,2))]. given #12425 (H,wt=18): 13708 K(x,K(y,z * u)) != w | K(y,K(x,u * z)) = w. [para(13612(a,1),7715(a,1))]. given #12426 (H,wt=18): 13709 K(x * y,K(z,u)) != w | K(y * x,K(z,u)) = w. [para(13612(a,2),7742(a,1))]. given #12427 (H,wt=16): 13771 K(x,K(y,z)) != u | K(x * y,K(y,z)) = u. [para(7485(a,1),13709(a,1))]. given #12428 (H,wt=18): 13710 K(x,K(y,z * u)) != w | K(x,K(y,u * z)) = w. [para(13612(a,1),7760(a,1))]. given #12429 (H,wt=18): 13715 K(x,K(y \ z,u)) != w | K(x,K(z / y,u)) = w. [para(13614(a,2),7771(a,1))]. given #12430 (H,wt=18): 13745 K(x,K(y,z \ u)) != w | K(x,K(y,u / z)) = w. [para(13711(a,1),8181(a,1))]. given #12431 (H,wt=18): 13749 K(x,K(y * z,u)) != w | K(x,K(z * y,u)) = w. [para(12338(a,1),13611(a,1,2))]. given #12432 (H,wt=18): 13751 K(x,T(y,z / u)) != w | K(x,T(y,u \ z)) = w. [para(7928(a,1),13697(a,1,2))]. given #12433 (H,wt=18): 13752 K(x,T(y,z * (u \ z))) != w | K(x,T(y,u)) = w. [para(13592(a,2),13697(a,1))]. given #12434 (H,wt=18): 13765 T(K(x,y),z) != u | K(z,K(y,x)) * K(x,y) = u. [para(5974(a,1),13631(a,1))]. given #12435 (H,wt=18): 13768 K(x,K(y,z) \ u) != w | K(x,K(z,y) \ u) = w. [para(13727(a,2),13701(a,1))]. given #12436 (H,wt=18): 13775 K(x,K(y,z) * u) != w | K(x,K(y,z) \ u) = w. [para(5035(a,1),13768(a,1,2))]. given #12437 (H,wt=19): 13685 K(x,K(y,z)) * (u * K(x,y)) = u * T(K(x,y),z). [para(13618(a,1),8225(a,1,1))]. given #12438 (H,wt=19): 13716 K(x,K(y / z,(z \ u) * y)) = K(x,K(u,y / z)). [hyper(228,a,10616,a(flip),b,13616,a(flip)),flip(a)]. given #12439 (H,wt=19): 13731 K(x,K(y,z) \ (u / z)) = K(x,u / ((y * z) / y)). [para(6629(a,2),13650(a,2,2))]. given #12440 (H,wt=17): 13777 K(x,y / ((z * u) / z)) = K(x,y / T(u,z)). [hyper(228,a,13746,a(flip),b,13731,a(flip))]. given #12441 (H,wt=19): 13776 K(x,K(y,z)) * (u * K(x,y)) = u * K(x,T(y,z)). [hyper(228,a,7172,a,b,13685,a)]. given #12442 (H,wt=20): 13723 K(x,K(y,(1 / z) * u)) != w | K(x,K(y,u / z)) = w. [para(13626(a,1),11447(a,1))]. given #12443 (H,wt=20): 13770 K(x,T(y,z / (1 / u))) != w | K(x,T(y,u * z)) = w. [para(5667(a,2),13705(a,1,2))]. given #12444 (H,wt=21): 13639 T(x / (y * K(z,K(u,w))),y) = (K(z,K(u,w)) * y) \ x. [para(13629(a,1),13404(a,2,2))]. given #12445 (H,wt=21): 13729 K(x,T(1 / (y * z),y)) = K(x,K(z,1 / z) / (z * y)). [hyper(228,a,13349,a,b,13644,a),flip(a)]. given #12446 (H,wt=17): 13782 K(x,T(1 / (y * z),y)) = K(x,1 / (z * y)). [hyper(228,a,5395,a(flip),b,13729,a)]. given #12447 (H,wt=17): 13783 K(x,y / (y * (y * z))) = K(x,1 / (z * y)). [hyper(8354,a,13782,a)]. given #12448 (H,wt=21): 13742 T(x,y) \ T(T(x,z * u),T(y,u * z)) = K(x,z * u). [para(13683(a,1),7933(a,1,2))]. given #12449 (H,wt=21): 13744 K(x,K(y,(z * (1 / u)) / w)) = K(x,K(y,(u / z) * w)). [para(6196(a,1),13711(a,2,2))]. given #12450 (H,wt=21): 13747 L(K(x,y),z,u) \ K(w,v5) = K(v5,w) \ K(L(y,z,u),x). [para(11389(a,2),13737(a,1,1))]. given #12451 (H,wt=17): 13786 K(x,y) \ K(L(x,z,u),y) = a(K(x,y),z,u). [hyper(228,a,13027,a(flip),b,13747,a(flip))]. given #12452 (H,wt=21): 13763 K(x * (y \ K(x,z)),y / T(x,z)) = K(y \ x,x \ y). [hyper(228,a,10528,a(flip),b,13730,a(flip))]. given #12453 (H,wt=21): 13785 K(x,K(y,((z \ 1) / u) * w)) = K(x,K(y,(u * z) / w)). [para(61(a,1),13744(a,1,2,2,1,2)),flip(a)]. given #12454 (H,wt=22): 13624 K(x,K(y,L(z / u,u,w))) = K(x,K(y,(w * u) \ (w * z))). [para(7912(a,1),13608(a,1,2))]. given #12455 (H,wt=22): 13719 K(x,K(y,L(z,u,w))) * (w * u) = w * (u * K(x,K(y,z))). [hyper(228,a,8508,a(flip),b,13623,a)]. given #12456 (H,wt=22): 13728 K(x,K(y,L(z,u,w)) * (w * u)) = K(x,w * (u * K(y,z))). [para(11397(a,1),13641(a,2,2))]. given #12457 (H,wt=22): 13743 K(x,K(y,(z * u) / (z * (u * w)))) = K(x,K(y,L(w,u,z))). [para(28(a,2),13711(a,2,2,2))]. given #12458 (H,wt=22): 13766 T(T(x,K(y,z)),K(z,u)) != w | T(x,K(y,z) * K(z,u)) = w. [para(11610(a,2),13638(a,1))]. given #12459 (H,wt=22): 13767 K(K(x,y) * K(z,x),u) != w | K(u,K(y,x) * K(x,z)) = w. [para(11622(a,2),13673(a,1))]. given #12460 (H,wt=22): 13780 K(x,K(y,z)) * (u * K(x,y)) != u * w | K(x,T(y,z)) = w. [para(13776(a,2),19(a,1))]. given #12461 (H,wt=22): 13787 K(x,K(y,L(z / u,u,w))) = K(x,K(y,(w * z) / (w * u))). [hyper(228,a,13613,a,b,13624,a)]. given #12462 (H,wt=22): 13790 K(x,K(y,z) * K(u,y)) != w | K(x,K(z,y) * K(y,u)) = w. [para(11625(a,1),13767(a,1))]. given #12463 (H,wt=22): 13791 K(x,K(y,(z * (u * w)) / (z * w))) = K(x,K(y,L(u,w,z))). [para(15(a,1),13787(a,1,2,2,1)),flip(a)]. given #12464 (H,wt=23): 13621 K(x,T(L(K(y,z),u,w),v5)) = K(x,K(z,1 / L(1 / y,u,w))). [hyper(228,a,8011,a(flip),b,13608,a(flip)),flip(a)]. given #12465 (H,wt=21): 13795 K(x,T(L(K(y,z),u,w),v5)) = K(x,1 / L(K(y,z),u,w)). [para(6139(a,1),13621(a,2,2))]. given #12466 (H,wt=19): 13796 K(x,T(L(K(y,z),u,w),v5)) = K(x,L(K(y,z),u,w)). [hyper(228,a,8600,a(flip),b,13795,a)]. given #12467 (H,wt=22): 13797 K(x,T(L(K(y,z),u,w),v5)) != v6 | K(x,K(z,L(y,u,w))) = v6. [para(13796(a,2),8684(a,1))]. given #12468 (H,wt=23): 13640 K(((x \ y) * x) / (K(z,u) * x),w) = K((x * K(z,u)) \ y,w). [hyper(13382,a,13635,a)]. given #12469 (H,wt=23): 13759 K(T(x,y) \ 1,T(x,y)) * K(x,y) = x \ T(1 / (1 / x),y). [hyper(71,a,2328,a(flip),b,13680,a),flip(a)]. given #12470 (H,wt=21): 13799 K(T(x,y) \ 1,T(x,y)) * K(x,y) = K(x \ (y \ 1),x). [hyper(228,a,6285,a(flip),b,13759,a)]. given #12471 (H,wt=17): 13800 L(x,y,K(z \ (u \ 1),z)) = L(x,y,K(z,u)). [para(13799(a,1),3696(a,1,3))]. given #12472 (H,wt=21): 13801 L(x,y,K(z \ ((u \ 1) * w),z)) = L(x,y,K(z,w \ u)). [para(6191(a,1),13800(a,1,3))]. given #12473 (H,wt=21): 13802 L(x,y,K((z \ 1) * (u \ w),u)) = L(x,y,K(u,w \ z)). [para(11339(a,1),13801(a,1,3))]. given #12474 (H,wt=19): 13803 L(x,y,K(z \ (u \ w),u)) = L(x,y,K(u,w \ z)). [para(5635(a,1),13802(a,1,3))]. given #12475 (H,wt=23): 13788 (K(x,1 / K(y,z)) * u) * T(w,u) = w * (u * K(x,K(y,z))). [hyper(228,a,13370,a(flip),b,13719,a(flip)),flip(a)]. given #12476 (H,wt=21): 13804 (K(x,K(y,z)) * u) * T(w,u) = w * (u * K(x,K(z,y))). [para(4894(a,1),13788(a,1,1,1,2))]. given #12477 (H,wt=21): 13805 (K(x,K(y,z)) * u) * T(w,u) = w * (u * K(x,K(y,z))). [para(7741(a,1),13804(a,1,1,1))]. given #12478 (H,wt=21): 13806 T(K(x,K(y,z)) * u,T(w,u)) = T(u,w) * K(x,K(y,z)). [hyper(171,a,13805,a,b,4215,a)]. given #12479 (H,wt=19): 13808 T(K(x,K(y,z)) * u,w) = T(u,w) * K(x,K(y,z)). [hyper(228,a,13674,a(flip),b,13806,a(flip)),flip(a)]. given #12480 (H,wt=19): 13809 T(K(x,K(y,z)) * u,w) = K(x,K(y,z)) * T(u,w). [hyper(228,a,13623,a,b,13808,a)]. given #12481 (H,wt=19): 13810 T(x * K(y,K(z,u)),w) = T(x,w) * K(y,K(z,u)). [para(13623(a,1),13808(a,1,1))]. given #12482 (H,wt=21): 13811 (K(x,K(y,z)) * u) * K(u,w) = T(K(x,K(y,z)) * u,w). [hyper(228,a,5199,a,b,13809,a),flip(a)]. given #12483 (H,wt=13): 13815 K(K(x,K(y,z)) * u,w) = K(u,w). [hyper(17,a,4705,a(flip),b,13811,a),flip(a)]. given #12484 (H,wt=15): 13816 K(T(x,K(y,z)) / u,w) = K(x / u,w). [para(6190(a,1),13815(a,1,1))]. given #12485 (H,wt=15): 13818 K(x / T(y,K(z,u)),w) = K(x / y,w). [para(13720(a,1),13815(a,1,1))]. given #12486 (H,wt=19): 13817 K((K(x,y) * z) \ u,w) = K((z * K(x,y)) \ u,w). [para(9563(a,1),13815(a,1,1)),flip(a)]. given #12487 (H,wt=23): 13798 K((x * y) / (K(z,u) * y),w) = K((y * K(z,u)) \ (y * x),w). [para(13(a,1),13640(a,1,1,1,1))]. given #12488 (H,wt=24): 13647 K(L((x \ y) / K(z,u),K(z,u),x),w) = K((x * K(z,u)) \ y,w). [hyper(228,a,7905,a,b,13635,a(flip)),flip(a)]. given #12489 (H,wt=24): 13699 L(K(x,y),z,u) * K(w,v5) != v6 | K(w,v5) * L(K(x,y),z,u) = v6. [para(13651(a,1),7176(a,1,2))]. given #12490 (H,wt=24): 13713 K(x,K(y \ (z \ u),L(w,y,z))) = K(x,K(x / w,u / (z * y))). [hyper(228,a,8602,a,b,13613,a),flip(a)]. given #12491 (H,wt=22): 13822 K(x,K(y \ (z \ u),L(w,y,z))) = K(x,K(w,u / (z * y))). [hyper(228,a,8068,a(flip),b,13713,a)]. given #12492 (H,wt=22): 13823 K(x,K((y \ z) / u,L(w,u,y))) = K(x,K(w,z / (y * u))). [hyper(13715,a,13822,a)]. given #12493 (H,wt=24): 13761 K(x,K(y,L(z,u,w)) * (w * u)) = K(x,w * (u * K(y \ 1,z))). [para(11397(a,1),13725(a,1,2)),flip(a)]. given #12494 (H,wt=21): 13825 K(x,y * (z * K(u \ 1,w))) = K(x,y * (z * K(u,w))). [hyper(228,a,13728,a(flip),b,13761,a(flip))]. given #12495 (H,wt=23): 13826 K(x,y * (((z * (u \ 1)) / z) \ 1)) = K(x,y * (u * K(u,z))). [hyper(228,a,6809,a,b,13825,a(flip)),flip(a)]. given #12496 (H,wt=21): 13827 K(x,y * (((z * (u \ 1)) / z) \ 1)) = K(x,y * T(u,z)). [para(4705(a,2),13826(a,2,2,2))]. given #12497 (H,wt=19): 13828 K(x,y / ((z * (u \ 1)) / z)) = K(x,y * T(u,z)). [hyper(5754,a,13827,a)]. given #12498 (H,wt=17): 13829 K(x,y / T(z \ 1,u)) = K(x,y * T(z,u)). [hyper(228,a,13777,a(flip),b,13828,a(flip)),flip(a)]. given #12499 (H,wt=17): 13830 K(x,y * ((z \ u) * z)) = K(x,y * T(u,z)). [hyper(228,a,6705,a(flip),b,13829,a(flip)),flip(a)]. given #12500 (H,wt=17): 13831 K(x,y * T(z * u,z)) = K(x,y * (u * z)). [para(13(a,1),13830(a,1,2,2,1)),flip(a)]. given #12501 (H,wt=21): 13832 K(x \ 1,y * ((x \ 1) \ z)) = K(x \ 1,y * (z * x)). [hyper(228,a,12508,a(flip),b,13831,a(flip)),flip(a)]. given #12502 (H,wt=19): 13833 K(x \ 1,(y * z) * x) = K(x \ 1,y * (z * x)). [hyper(10591,a,13832,a)]. given #12503 (H,wt=24): 13793 K(x,K(y,z)) * K(x,K(z,u)) != w | K(x,K(y,z) * K(z,u)) = w. [para(11636(a,2),13790(a,1))]. given #12504 (H,wt=24): 13820 K(L((x \ y) * K(z,u),K(u,z),x),w) = K((x * K(u,z)) \ y,w). [para(5063(a,1),13647(a,1,1,1))]. given #12505 (H,wt=24): 13824 K(x,K(T(y,z) / u,L(w,u,z))) = K(x,K(w,(y * z) / (z * u))). [para(32(a,2),13823(a,1,2,1,1))]. given #12506 (H,wt=25): 13598 K(x,T(y,K(z,u)) \ T(w * y,K(z,u))) = K(x,T(w,K(z,u) \ y)). [para(13501(a,2),13593(a,2,2)),flip(a)]. given #12507 (H,wt=25): 13772 K(x,K(y,(z * u) * w)) != v5 | K(x,K(y,(u * w) * R(z,u,w))) = v5. [para(109(a,1),13710(a,1,2,2))]. given #12508 (H,wt=25): 13819 K((x * y) \ z,T(u,y)) = K(((x \ z) * x) / T(y * x,K(w,v5)),u). [hyper(228,a,13345,a,b,13818,a),flip(a)]. given #12509 (H,wt=25): 13834 K(x,T(y,K(z,u)) \ T(w * y,K(z,u))) = K(x,T(w,K(u,z) * y)). [para(5035(a,1),13598(a,2,2,2))]. given #12510 (H,wt=26): 13758 T(x,(R(T(y,z),u,w) \ v5) * K(R(y,u,w),z)) = T(x,R(y,u,w) \ v5). [para(42(a,2),13677(a,1,2,1,1))]. given #12511 (H,wt=26): 13789 K(x,K(y,(z / u) * (u * ((1 / z) * w)))) = K(x,K(y,L(w,1 / z,u))). [hyper(228,a,13744,a(flip),b,13743,a(flip)),flip(a)]. given #12512 (H,wt=26): 13836 T(x,(R(T(y,z),u,w) \ v5) * K(y,L(z,u,w))) = T(x,R(y,u,w) \ v5). [para(13316(a,1),13758(a,1,2,2))]. given #12513 (H,wt=24): 13837 T(x,R(T(y,z),u,w) \ T(y,L(z,u,w))) = T(x,R(y,u,w) \ y). [para(6265(a,1),13836(a,1,2))]. given #12514 (H,wt=27): 13762 K(x,K(y,z) * T(u * w,w \ (u \ 1))) = K(x,(w \ (u \ 1)) \ K(y,z)). [para(764(a,2),13726(a,1,2,2))]. given #12515 (H,wt=28): 13633 L(x,y * z,K(z,y)) = ((x * (K(u,K(w,v5)) * v6)) * 1) / (v6 * K(u,K(w,v5))). [para(13628(a,1),11036(a,2,1,2))]. given #12516 (H,wt=26): 13838 L(x,y * z,K(z,y)) = (x * (K(u,K(w,v5)) * v6)) / (v6 * K(u,K(w,v5))). [para(12(a,1),13633(a,2,1))]. given #12517 (H,wt=19): 13839 (x * (K(y,K(z,u)) * w)) / (w * K(y,K(z,u))) = x. [hyper(13399,a,13838,a)]. given #12518 (H,wt=28): 13738 K(a(x,y,y \ (z \ 1)),T(u,x \ z)) = K((z / x) / ((z * y) / (x * y)),u). [hyper(13421,a,13669,a),flip(a)]. given #12519 (H,wt=28): 13756 K(x,L(y,K(z,u) * x,w)) * ((K(z,u) * x) * w) = (K(z,u) * T(x,y)) * w. [para(13665(a,1),13325(a,2,1))]. given #12520 (H,wt=26): 13841 K(L(x,K(y,z),u),w) * ((K(y,z) * x) * u) = (K(y,z) * T(x,w)) * u. [para(11392(a,1),13756(a,1,1))]. given #12521 (H,wt=28): 13792 K(x,K(y,T(L(z,u / z,w),u / z))) = K(x,K(y,(w * u) / (w * (u / z)))). [para(7913(a,2),13787(a,1,2))]. given #12522 (H,wt=26): 13842 K(x,T(L(K(y,z),u,w),u / z)) = K(x,K(y,(w * u) / (w * (u / z)))). [para(7193(a,1),13792(a,1,2))]. given #12523 (H,wt=25): 13843 K(x,K(y,(z * u) / (z * (u / w)))) != v5 | K(x,K(w,L(y,u,z))) = v5. [para(13842(a,1),13797(a,1))]. given #12524 (H,wt=28): 13807 T(x,y) * z != x * (y * K(u,K(w,v5))) | T(K(u,K(w,v5)) * y,T(x,y)) = z. [para(13805(a,1),172(a,2))]. given #12525 (H,wt=28): 13840 a(x,y,K(y \ (z \ 1),T(u,x \ z))) = K((z / x) / ((z * y) / (x * y)),u). [hyper(13052,a,13738,a)]. given #12526 (H,wt=29): 13684 K((x * K(y,z)) \ u,T(w,x)) = K(((K(y,z) \ u) * K(y,z)) / (K(y,z) * x),w). [para(13636(a,1),13410(a,1,2))]. given #12527 (H,wt=29): 13781 T((x * (K(y,K(z,u)) * w)) / (w * K(y,K(z,u))),w) = T(x,K(y,K(z,u)) * w). [hyper(228,a,32,a,b,13639,a)]. given #12528 (H,wt=13): 13846 T(x,K(y,K(z,u)) * w) = T(x,w). [para(13839(a,1),13781(a,1,1)),flip(a)]. given #12529 (H,wt=13): 13847 T(x,y * K(z,K(u,w))) = T(x,y). [hyper(13638,a,13846,a)]. given #12530 (H,wt=15): 13848 K(x,K(y,K(z,u)) * w) = x \ T(x,w). [hyper(71,a,13846,a(flip),b,4705,a(flip)),flip(a)]. given #12531 (H,wt=13): 13852 K(x,K(y,K(z,u)) * w) = K(x,w). [hyper(228,a,4649,a,b,13848,a)]. given #12532 (H,wt=15): 13853 K(x,T(y,K(z,u)) \ w) = K(x,y \ w). [hyper(228,a,13437,a(flip),b,13852,a(flip)),flip(a)]. given #12533 (H,wt=15): 13854 K(x,y * T(z,K(u,w))) = K(x,y * z). [para(5851(a,1),13852(a,1,2))]. given #12534 (H,wt=15): 13855 K(x,y \ T(z,K(u,w))) = K(x,y \ z). [para(5848(a,1),13852(a,1,2))]. given #12535 (H,wt=15): 13856 K(x,T(y,K(z,u)) / w) = K(x,y / w). [para(6190(a,1),13852(a,1,2))]. given #12536 (H,wt=19): 13860 K(x,y * (K(z,u) / w)) = K(x,y * (w \ K(z,u))). [hyper(228,a,12509,a(flip),b,13854,a(flip))]. given #12537 (H,wt=19): 13861 K(x,y \ (K(z,u) \ w)) = K(x,y \ (w * K(u,z))). [para(5080(a,1),13855(a,1,2,2))]. given #12538 (H,wt=21): 13858 K(x,y \ T(z * y,K(u,w))) = K(x,T(z,K(w,u) * y)). [hyper(228,a,13834,a(flip),b,13853,a(flip))]. given #12539 (H,wt=21): 13862 K(x,T(y * z,K(u,w)) / y) = K(x,T(z,K(w,u) * y)). [hyper(8165,a,13858,a)]. given #12540 (H,wt=17): 13864 K(x,T(y,K(z,u) * w)) = K(x,(w * y) / w). [hyper(228,a,13856,a(flip),b,13862,a(flip))]. given #12541 (H,wt=15): 13867 K(x,T(y,K(z,u) * w)) = K(x,T(y,w)). [hyper(228,a,7843,a(flip),b,13864,a)]. given #12542 (H,wt=15): 13868 K(x,T(y,z \ K(u,w))) = K(x,T(y,z)). [hyper(13752,a,13867,a),flip(a)]. given #12543 (H,wt=15): 13869 K(x,T(y,z * K(u,w))) = K(x,T(y,z)). [hyper(13705,a,13867,a)]. given #12544 (H,wt=15): 13877 K(x,T(y,K(z,u) / w)) = K(x,T(y,w)). [hyper(13703,a,13868,a)]. given #12545 (H,wt=15): 13881 K(x,T(y,z / K(u,w))) = K(x,T(y,z)). [para(16(a,1),13869(a,1,2,2)),flip(a)]. given #12546 (H,wt=17): 13893 T(x,T(y,z / K(u,w))) = x * K(x,T(y,z)). [para(13881(a,1),4705(a,2,2))]. given #12547 (H,wt=15): 13894 T(x,T(y,z / K(u,w))) = T(x,T(y,z)). [hyper(228,a,4705,a,b,13893,a)]. given #12548 (H,wt=19): 13882 K(x,T(y,z / (u / w))) = K(x,T(y,z / (w \ u))). [para(5230(a,1),13869(a,1,2,2))]. given #12549 (H,wt=20): 13887 K(x \ y,T(z,x * K(u,w))) != v5 | K(y / x,z) = v5. [para(13869(a,2),7964(a,1))]. given #12550 (H,wt=21): 13878 K(x,T((y \ K(z,u)) * w,y)) = K(x,w * (y \ K(z,u))). [hyper(12375,a,13868,a),flip(a)]. given #12551 (H,wt=21): 13885 K(x,T(y,z)) * (z * K(u,w)) = (z * K(u,w)) * K(x,y). [para(13869(a,1),7823(a,1,1))]. given #12552 (H,wt=21): 13892 K(x,T(y,z)) * (K(u,w) / z) = (K(u,w) / z) * K(x,y). [para(13877(a,1),7823(a,1,1))]. given #12553 (H,wt=19): 13901 K(x,T(y,z)) / T(z,u) = (K(u,z) / z) * K(x,y). [hyper(228,a,11063,a(flip),b,13892,a(flip)),flip(a)]. given #12554 (H,wt=21): 13895 K(x,K(y,z / K(u,w))) = (x \ y) / T(y / x,T(x,z)). [para(13894(a,1),9001(a,1,2)),flip(a)]. given #12555 (H,wt=15): 13903 K(x,K(y,z / K(u,w))) = K(x,K(y,z)). [hyper(228,a,9001,a(flip),b,13895,a)]. given #12556 (H,wt=15): 13904 K(x,K(y,K(z,u) \ w)) = K(x,K(y,w)). [hyper(13615,a,13903,a)]. given #12557 (H,wt=15): 13905 K(x,K(y,K(z,u) / w)) = K(x,K(y,w)). [hyper(8181,a,13903,a)]. given #12558 (H,wt=15): 13906 K(x,K(y,z * K(u,w))) = K(x,K(y,z)). [para(15(a,1),13903(a,1,2,2)),flip(a)]. given #12559 (H,wt=15): 13909 K(x,K(y,K(z,u) * w)) = K(x,K(y,w)). [para(13(a,1),13904(a,1,2,2)),flip(a)]. given #12560 (H,wt=15): 13914 K(x,K(y,K(z,u) / w)) = K(x,K(w,y)). [hyper(228,a,7741,a,b,13905,a)]. given #12561 (H,wt=15): 13925 K(x,K(y * K(z,u),w)) = K(x,K(y,w)). [hyper(8114,a,13914,a),flip(a)]. given #12562 (H,wt=15): 13926 K(x,K(K(y,z) / u,w)) = K(x,K(u,w)). [hyper(7771,a,13914,a)]. given #12563 (H,wt=17): 13908 K(x,K(y,z / T(u,w))) = K(x,K(y,z / u)). [para(5229(a,1),13903(a,1,2,2)),flip(a)]. given #12564 (H,wt=17): 13930 K(x,K(T(y,z) / u,w)) = K(x,K(y / u,w)). [para(1390(a,1),13925(a,1,2,1))]. given #12565 (H,wt=18): 13915 K(x,K(y,K(z,u) / w)) != v5 | K(x,K(w,y)) = v5. [para(13905(a,2),7771(a,1))]. given #12566 (H,wt=18): 13927 K(x,K(y * K(z,u),w)) != v5 | K(x,K(y,w)) = v5. [para(13914(a,1),8114(a,1))]. given #12567 (H,wt=18): 13936 K(x,K(y,z)) != u | K(x,K(y * K(w,v5),z)) = u. [para(8082(a,1),13915(a,1))]. given #12568 (H,wt=19): 13911 K(x,K(y,(z * u) * w)) = K(x,K(y,(u * z) * w)). [para(10996(a,1),13904(a,1,2,2))]. given #12569 (H,wt=19): 13912 K(x,K(y,z / ((u * w) / u))) = K(x,K(y,z / w)). [para(13731(a,1),13904(a,1,2))]. given #12570 (H,wt=19): 13917 K(x,K(y,z / (u / w))) = K(x,K(y,z / (w \ u))). [para(5230(a,1),13906(a,1,2,2))]. given #12571 (H,wt=19): 13918 K(x,K(y,z / (u / (u / w)))) = K(x,K(y,z / w)). [para(6632(a,2),13906(a,1,2,2))]. given #12572 (H,wt=19): 13919 K(x,K(y,(z * K(u,w)) * v5)) = K(x,K(y,z * v5)). [para(6715(a,1),13906(a,1,2,2)),flip(a)]. given #12573 (H,wt=19): 13920 K(x,K(y,z / (u * w))) = K(x,K(y,z / (w * u))). [para(10493(a,1),13906(a,1,2,2))]. given #12574 (H,wt=19): 13921 K(x,K(y,((z * u) / z) * w)) = K(x,K(y,u * w)). [para(5332(a,1),13909(a,1,2,2)),flip(a)]. given #12575 (H,wt=19): 13923 K(x,K(y,z * (K(u,w) * v5))) = K(x,K(y,z * v5)). [para(10786(a,1),13909(a,1,2,2)),flip(a)]. given #12576 (H,wt=19): 13934 K(x,K(K(y,z) / u,w)) = K(x,K(u * K(v5,v6),w)). [hyper(228,a,13925,a,b,13926,a)]. given #12577 (H,wt=19): 13942 K(x,K(y,(z * u) / w)) = K(x,K(y,w / (u * z))). [hyper(8181,a,13920,a)]. given #12578 (H,wt=19): 13946 K(x,K(y,(z * u) / w)) = K(x,K(y,(u * z) / w)). [hyper(228,a,8088,a,b,13942,a)]. given #12579 (H,wt=21): 13902 ((1 / x) * K(y,z)) * K(u,x) = (K(u,x) / x) * K(y,z). [hyper(228,a,9384,a,b,13901,a(flip)),flip(a)]. given #12580 (H,wt=21): 13924 K(x,K(y,L(K(z,u) / w,v5,v6))) = K(x,K(w,L(y,v5,v6))). [hyper(8681,a,13914,a)]. given #12581 (H,wt=21): 13929 K(x,K(y,L(z * K(u,w),v5,v6))) = K(x,K(z,L(y,v5,v6))). [hyper(8520,a,13925,a)]. given #12582 (H,wt=21): 13938 K(x,K(y,(T(z,u) / w) * v5)) = K(x,K(y,(z / w) * v5)). [para(1390(a,1),13919(a,1,2,2,1))]. given #12583 (H,wt=21): 13939 K(x,K(y,(T(z,u) * w) * v5)) = K(x,K(y,(z * w) * v5)). [para(5217(a,1),13919(a,1,2,2,1))]. given #12584 (H,wt=21): 13943 K(x,K(y,(K(z,u) * w) / v5)) = K(x,K(y,(1 / v5) * w)). [hyper(13723,a,13923,a)]. given #12585 (H,wt=19): 13958 K(x,K(y,(K(z,u) * w) / v5)) = K(x,K(y,w / v5)). [hyper(228,a,13714,a(flip),b,13943,a)]. given #12586 (H,wt=19): 13959 K(x,K(y,z / (K(u,w) * v5))) = K(x,K(y,v5 / z)). [hyper(8181,a,13958,a)]. given #12587 (H,wt=19): 13962 K(x,K(y,(z * K(u,w)) / v5)) = K(x,K(y,v5 / z)). [para(7892(a,1),13959(a,1,2,2,2)),flip(a)]. given #12588 (H,wt=21): 13947 K(x,K(y,z / ((1 / u) * w))) = K(x,K(y,(u / w) * z)). [hyper(228,a,13744,a(flip),b,13942,a(flip))]. given #12589 (H,wt=21): 13953 K(x,K(y,L(K(z,u) / w,v5,v6))) = K(x,K(y,L(w,v5,v6))). [hyper(228,a,8507,a,b,13924,a)]. given #12590 (H,wt=21): 13955 K(x,K(y,L(K(z,u) * w,v5,v6))) = K(x,K(w,L(y,v5,v6))). [para(7174(a,1),13929(a,1,2,2,1))]. given #12591 (H,wt=21): 13957 K(x,K(y,z * (T(u,w) * v5))) = K(x,K(y,(u * v5) * z)). [hyper(13710,a,13939,a)]. given #12592 (H,wt=21): 13960 K(x,K(y,(z * T(u,w)) / v5)) = K(x,K(y,(z * u) / v5)). [para(5851(a,1),13958(a,1,2,2,1))]. given #12593 (H,wt=21): 13967 K(x,K(y,z / (T(u,w) * v5))) = K(x,K(y,(v5 * u) / z)). [hyper(228,a,13942,a(flip),b,13960,a(flip)),flip(a)]. given #12594 (H,wt=22): 13859 K(x,(K(y,z) * u) \ w) != v5 | K(x,(u * K(y,z)) \ w) = v5. [para(13853(a,1),12528(a,1))]. given #12595 (H,wt=22): 13935 K(x,K(y / z,L(u,z,w))) = K(x,K(u,(y * w) / (w * z))). [hyper(228,a,13824,a(flip),b,13930,a(flip))]. given #12596 (H,wt=22): 13941 K(x,K(y,(z * K(u,w)) * v5)) != v6 | K(x,K(y,v5 * z)) = v6. [para(13919(a,2),13710(a,1))]. given #12597 (H,wt=20): 13972 K(x,K(y,z * T(u,w))) != v5 | K(x,K(y,u * z)) = v5. [para(5177(a,1),13941(a,1,2,2))]. given #12598 (H,wt=22): 13948 K(x,K(y,z / (u * w))) != v5 | K(x,K(y,z / (w * u))) = v5. [para(13942(a,1),8181(a,1))]. given #12599 (H,wt=22): 13949 K(x,K(y,(z * u) / w)) != v5 | K(x,K(y,(u * z) / w)) = v5. [para(13942(a,2),8181(a,1))]. given #12600 (H,wt=22): 13950 K(x,K(y,((z * u) * w) / (w * u))) = K(x,K(y,L(z,u,w))). [hyper(228,a,13791,a(flip),b,13946,a)]. given #12601 (H,wt=22): 13952 K(x,K(y,(z * u) / w)) != v5 | K(x,K(y,w / (u * z))) = v5. [para(13946(a,1),8181(a,1))]. given #12602 (H,wt=22): 13974 K(x,K(y,z * (u * K(w,v5)))) != v6 | K(x,K(y,z * u)) = v6. [para(13626(a,1),13941(a,1))]. given #12603 (H,wt=22): 13975 K(x,K(y,z * (u * w))) != v5 | K(x,K(y,z * (w * u))) = v5. [para(93(a,1),13974(a,1,2,2,2))]. given #12604 (H,wt=23): 13896 K(x,y) * K(x,K(y,z / (u / w))) = K(x,T(y,z / (w \ u))). [hyper(7987,a,13882,a)]. given #12605 (H,wt=22): 13977 K(x,T(y,z / (u \ w))) != v5 | K(x,T(y,z / (w / u))) = v5. [para(13896(a,1),7981(a,1))]. given #12606 (H,wt=23): 13900 K(x,y) * ((1 / y) * K(z,u)) = ((1 / y) * K(z,u)) * K(x,y). [para(3243(a,1),13885(a,1,1))]. given #12607 (H,wt=21): 13978 ((1 / x) * K(y,z)) * K(u,x) = K(u,x) / (K(z,y) * x). [hyper(228,a,11069,a(flip),b,13900,a(flip))]. given #12608 (H,wt=19): 13979 K(x,y) / (K(z,u) * y) = (K(x,y) / y) * K(u,z). [hyper(228,a,13902,a(flip),b,13978,a(flip))]. given #12609 (H,wt=23): 13940 K(x,K(y,((z / u) * w) * v5)) = K(x,K(y,((u \ z) * w) * v5)). [para(6230(a,1),13919(a,1,2,2,1))]. given #12610 (H,wt=23): 13956 K(x,K(y,((z / (z / u)) / w) * v5)) = K(x,K(y,(u / w) * v5)). [para(188(a,1),13938(a,1,2,2,1,1)),flip(a)]. given #12611 (H,wt=23): 13961 K(x,K(y,z / ((K(u,w) * v5) * v6))) = K(x,K(y,(v5 * v6) / z)). [para(6735(a,1),13959(a,1,2,2,2))]. given #12612 (H,wt=23): 13968 K(x,K(y,(z * (u / w)) / v5)) = K(x,K(y,v5 / ((w \ u) * z))). [para(115(a,1),13967(a,1,2,2,2,1)),flip(a)]. given #12613 (H,wt=23): 13983 K(x,K(y,z / ((K(u,w) * v5) * v6))) = K(x,K(y,z / (v5 * v6))). [hyper(228,a,8088,a,b,13961,a)]. given #12614 (H,wt=23): 13984 K(x,K(y,z / (u * (K(w,v5) * v6)))) = K(x,K(y,z / (v6 * u))). [hyper(13948,a,13983,a)]. given #12615 (H,wt=24): 13874 (K(x,y) * z) * K(u,T(w,z)) != v5 | K(u,w) * (K(x,y) * z) = v5. [para(13867(a,1),7176(a,1,2))]. given #12616 (H,wt=24): 13886 K((x * K(y,z)) \ u,T(w,x)) != v5 | K(u / (x * K(y,z)),w) = v5. [para(13869(a,1),7964(a,1))]. given #12617 (H,wt=24): 13954 K(x,K(y,L(K(z,u) / w,v5,v6))) != v7 | K(x,K(y,L(w,v5,v6))) = v7. [para(13924(a,2),8520(a,1))]. given #12618 (H,wt=24): 13964 K(x,K((y / z) * u,L(w,y / z,z))) = K(x,K(w,(u / z) * y)). [hyper(228,a,13361,a,b,13947,a(flip)),flip(a)]. given #12619 (H,wt=22): 13986 K(x,K((y / z) * u,L(w,y,z))) = K(x,K(w,(u / z) * y)). [hyper(228,a,13134,a(flip),b,13964,a(flip)),flip(a)]. given #12620 (H,wt=24): 13973 K(x,K(y,(z / T(u,w)) * v5)) != v6 | K(x,K(y,v5 * (z / u))) = v6. [para(5205(a,1),13941(a,1,2,2,1))]. given #12621 (H,wt=25): 13937 L(K(x,K(y,z / (u / w))),v5,v6) = K(y,K(z / (w \ u),L(x,v5,v6))). [para(13917(a,2),8504(a,1,1))]. given #12622 (H,wt=25): 13982 K(x,K(y,((z / (z / (u \ 1))) / w) * v5)) = K(x,K(y,(w * u) / v5)). [hyper(228,a,13785,a(flip),b,13956,a)]. given #12623 (H,wt=26): 13897 K(x,T(y,z / (u \ w))) != K(x,y) * v5 | K(x,K(y,z / (w / u))) = v5. [para(13882(a,1),7984(a,1))]. given #12624 (H,wt=26): 13898 K(x,y * (z \ K(u,w))) * z != z * v5 | K(x,(z \ K(u,w)) * y) = v5. [para(13878(a,1),7884(a,1,1))]. given #12625 (H,wt=26): 13970 K(x,K(y / (z \ u),L(w,u,z))) = K(x,K(w,(y * z) / (z * (z \ u)))). [hyper(228,a,13133,a(flip),b,13935,a(flip)),flip(a)]. given #12626 (H,wt=26): 13976 K(x,K(y,z * (u * (w * (v5 / w))))) != v6 | K(x,K(y,z * (u * v5))) = v6. [para(8441(a,1),13974(a,1,2,2,2))]. given #12627 (H,wt=26): 13985 K(x,K(y,z / (u * (K(w,v5) * v6)))) != v7 | K(x,K(y,z / (u * v6))) = v7. [para(13984(a,2),13948(a,1))]. given #12628 (H,wt=26): 13987 K(x,K(y,z / (u * (w \ v5)))) != v6 | K(x,K(y,z / (u * (v5 / w)))) = v6. [para(4811(a,1),13985(a,1,2,2,2,2))]. given #12629 (H,wt=27): 13899 K(x,L(T(y,z),u,w)) * (z * K(v5,v6)) = (z * K(v5,v6)) * K(x,L(y,u,w)). [para(40(a,2),13885(a,1,1,2))]. given #12630 (H,wt=27): 13945 K(x,K(y * K(z,u),L(w,K(v5,v6),v7))) = K(x,K(w,L(K(v5,v6) / y,y,v7))). [hyper(228,a,8959,a(flip),b,13934,a(flip))]. given #12631 (H,wt=23): 13988 K(x,K(y * K(z,u),L(w,K(v5,v6),v7))) = K(x,K(w,L(y,y,v7))). [hyper(228,a,13953,a(flip),b,13945,a)]. given #12632 (H,wt=20): 13990 K(x,K(y * K(z,u),L(w,K(v5,v6),v7))) = K(x,K(y,w)). [hyper(228,a,8513,a(flip),b,13988,a)]. given #12633 (H,wt=16): 13991 K(x,K(y,L(z,K(u,w),v5))) = K(x,K(y,z)). [hyper(13927,a,13990,a)]. given #12634 (H,wt=27): 13963 K(x,K(y,z / u)) * (w * K(x,y)) = w * K(x,T(y,(u * K(v5,v6)) / z)). [para(13962(a,1),13776(a,1,1))]. given #12635 (H,wt=19): 13993 K(x,T(y,(z * K(u,w)) / v5)) = K(x,T(y,v5 / z)). [hyper(13780,a,13963,a),flip(a)]. given #12636 (H,wt=21): 13994 K(x,T(y,(z / T(u,w)) / v5)) = K(x,T(y,v5 / (z / u))). [para(5205(a,1),13993(a,1,2,2,1))]. given #12637 (H,wt=21): 13995 K(x,T(y,z / (u / T(w,v5)))) = K(x,T(y,z / (u / w))). [hyper(8187,a,13994,a)]. given #12638 (H,wt=23): 13997 K(x,T(y,z / (u / (w / v5)))) = K(x,T(y,z / (u / (v5 \ w)))). [para(115(a,1),13995(a,1,2,2,2,2)),flip(a)]. given #12639 (H,wt=26): 13996 K(x,T(L(y,z,T(x,u)),w / (v5 / T(v6,v7)))) = K(x,T(y,w / (v5 / v6))). [hyper(228,a,8365,a(flip),b,13995,a)]. given #12640 (H,wt=27): 13998 T(1 / x,T(y,z / (u / T(w,v5)))) = K(1 / x,T(y,z / (u / w))) / x. [para(13995(a,1),4858(a,1,1)),flip(a)]. given #12641 (H,wt=29): 13845 K((x * K(y,z)) \ u,T(w,x)) = K((K(y,z) * (u / K(y,z))) / (K(y,z) * x),w). [para(7812(a,1),13684(a,2,1,1))]. given #12642 (H,wt=29): 13999 K((x * K(y,z)) \ u,T(w,x)) = K((K(z,y) \ (u / K(y,z))) / (K(y,z) * x),w). [para(5035(a,2),13845(a,2,1,1))]. given #12643 (H,wt=29): 14000 K((x * K(y,z)) \ u,T(w,x)) = K((K(z,y) \ (u / K(y,z))) / (K(z,y) \ x),w). [para(5035(a,2),13999(a,2,1,2))]. given #12644 (H,wt=25): 14001 K((x * K(y,z)) \ u,T(w,x)) = K(T(u,K(y,z)) / (K(z,y) \ x),w). [para(8015(a,1),14000(a,2,1,1))]. given #12645 (H,wt=21): 14002 K((x * K(y,z)) \ u,T(w,x)) = K(u / (K(z,y) \ x),w). [hyper(228,a,13816,a(flip),b,14001,a)]. given #12646 (H,wt=22): 14004 K(x / (K(y,z) \ u),w) != v5 | K(x / (u * K(z,y)),w) = v5. [para(14002(a,1),13886(a,1))]. given #12647 (H,wt=30): 13712 K(x,K(y \ (1 / z),L(y / u,u,z))) = K(x,K(y / u,K(z,1 / z) / (z * y))). [hyper(228,a,9031,a,b,13613,a),flip(a)]. given #12648 (H,wt=24): 14005 K(x,K(y \ (1 / z),L(y / u,u,z))) = K(x,K(z * y,y / u)). [hyper(228,a,13914,a(flip),b,13712,a)]. given #12649 (H,wt=24): 14006 K(x,K((1 / y) / z,L(z / u,u,y))) = K(x,K(y * z,z / u)). [hyper(13715,a,14005,a)]. given #12650 (H,wt=23): 14008 K(x,K((y \ z) * u,u / y)) = K(x,K(z,(1 / (y \ z)) / u)). [hyper(228,a,13321,a(flip),b,14006,a(flip))]. given #12651 (H,wt=23): 14009 K(x,K(y / z,(z \ u) * y)) = K(x,K(u,(1 / (z \ u)) / y)). [hyper(7771,a,14008,a)]. given #12652 (H,wt=19): 14010 K(x,K(y,(1 / (z \ y)) / u)) = K(x,K(y,u / z)). [hyper(228,a,13716,a(flip),b,14009,a(flip))]. given #12653 (H,wt=19): 14011 K(x,K(y,(1 / z) / u)) = K(x,K(y,u / (y / z))). [para(64(a,1),14010(a,1,2,2,1,2))]. given #12654 (H,wt=17): 14012 K(x,K(y,z / (y / u))) = K(x,K(y,z * u)). [hyper(8182,a,14011,a),flip(a)]. given #12655 (H,wt=17): 14013 K(x,K(y,z * (y / u))) = K(x,K(y,z / u)). [hyper(228,a,13918,a(flip),b,14012,a(flip))]. given #12656 (H,wt=17): 14014 K(x,K(y,z * (x / u))) = K(y,K(x,z / u)). [hyper(7725,a,14013,a)]. given #12657 (H,wt=17): 14015 K(x,K(y,z * (x / u))) = K(x,K(y,z / u)). [hyper(228,a,7723,a,b,14014,a)]. given #12658 (H,wt=30): 13755 (K(x,y) * T(z,u)) \ (K(z,u) * ((K(x,y) * z) * w)) = L(w,K(x,y) * z,K(z,u)). [para(13665(a,1),28(a,2,1)),flip(a)]. given #12659 (H,wt=31): 13740 x \ (y * (K((y \ x) / (z / y),u) * (y \ x))) = K(((y \ x) * y) / z,T(u,x / y)). [hyper(228,a,13341,a,b,13669,a),flip(a)]. given #12660 (H,wt=31): 13813 (x * (T(y,z) * K(u,K(w,v5)))) \ (x * (y * K(u,K(w,v5)))) = K(z,y * K(u,K(w,v5))). [para(13810(a,1),5157(a,1,1,2))]. given #12661 (H,wt=26): 14017 K(x,T(L(y,K(z,K(u,w)),v5),K(z,K(u,w)))) = K(x,y * K(z,K(u,w))). [hyper(228,a,6668,a(flip),b,13813,a(flip)),flip(a)]. given #12662 (H,wt=20): 14018 K(x,L(y,K(z,K(u,w)),v5)) = K(x,y * K(z,K(u,w))). [hyper(13661,a,14017,a)]. given #12663 (H,wt=16): 14020 K(x,y * K(z,K(u,w))) != v5 | K(x,y) = v5. [para(14018(a,1),9441(a,1))]. given #12664 (H,wt=16): 14024 K(x,K(y,K(z,u)) \ w) != v5 | K(x,w) = v5. [para(13718(a,2),14020(a,1,2))]. given #12665 (H,wt=18): 14021 K(x,y \ T(z,K(u,w))) != v5 | K(x,y \ z) = v5. [para(1384(a,1),14020(a,1,2))]. given #12666 (H,wt=18): 14022 K(x,T(y,K(z,u)) / w) != v5 | K(x,y / w) = v5. [para(1390(a,1),14020(a,1,2))]. given #12667 (H,wt=18): 14025 K(x,T(y,K(z,u)) \ w) != v5 | K(x,y \ w) = v5. [para(13717(a,1),14020(a,1,2))]. given #12668 (H,wt=18): 14026 K(x,y \ z) != u | K(x,y \ T(z,K(w,v5))) = u. [para(5850(a,1),14024(a,1,2))]. given #12669 (H,wt=22): 14023 K(x,y \ (z * K(u,w))) != v5 | K(x,y \ (K(u,w) * z)) = v5. [para(9605(a,1),14020(a,1,2))]. given #12670 (H,wt=22): 14027 K(x,y \ (K(z,u) \ w)) != v5 | K(x,y \ (w * K(u,z))) = v5. [para(5080(a,1),14021(a,1,2,2))]. given #12671 (H,wt=22): 14028 K(x,(y * K(z,u)) \ w) != v5 | K(x,(K(z,u) * y) \ w) = v5. [para(5987(a,1),14025(a,1,2,1))]. given #12672 (H,wt=28): 14029 K(x,(L(K(y,z),u,w) * v5) \ v6) != v7 | K(x,(v5 * L(K(y,z),u,w)) \ v6) = v7. [para(11457(a,1),14025(a,1,2,1))]. given #12673 (H,wt=31): 14016 x \ (y * ((y \ x) * K((z / y) \ (y \ x),u))) = K(((y \ x) * y) / z,T(u,x / y)). [para(5494(a,1),13740(a,1,2,2))]. given #12674 (H,wt=27): 14031 K(((x \ y) * x) / z,T(u,y / x)) = y \ (y * K((x * (z / x)) \ y,u)). [para(6383(a,1),14016(a,1,2)),flip(a)]. given #12675 (H,wt=23): 14032 K(((x \ y) * x) / z,T(u,y / x)) = K((x * (z / x)) \ y,u). [hyper(228,a,13,a(flip),b,14031,a)]. given #12676 (H,wt=25): 14033 K((x * ((y * ((x \ z) * x)) / x)) \ z,u) = K(1 / y,T(u,z / x)). [hyper(5630,a,14032,a),flip(a)]. given #12677 (H,wt=28): 14035 K((x * ((y * ((x \ z) * x)) / x)) \ z,u) != w | K(1 / y,T(u,z / x)) = w. [para(14032(a,1),5630(a,1))]. given #12678 (H,wt=33): 13835 K(((x \ y) * x) / T(L(K(z,u),w,v5) * x,K(v6,v7)),v8) = K((x * L(K(z,u),w,v5)) \ y,v8). [hyper(13700,a,13819,a),flip(a)]. given #12679 (H,wt=33): 13891 K(L(x * K(y,x),y,K(z,u)),T(w,y)) != v5 | K((y * K(z,u)) \ ((y * x) * K(z,u)),w) = v5. [para(13869(a,1),13337(a,1))]. given #12680 (H,wt=33): 13951 K(x,K(y,((z \ u) * (w * z)) / T(w * u,a(w,z,z \ u)))) = K(x,K(y,a(w,z,z \ u))). [para(885(a,1),13946(a,1,2,2)),flip(a)]. given #12681 (H,wt=33): 13965 K(x,K(y,((1 / z) * u) / (((1 / z) * u) * w))) = K(x,K(y,(z / u) * (((1 / z) * u) / w))). [para(8462(a,1),13947(a,1,2))]. given #12682 (H,wt=33): 13966 K(x,K(y,((z / (z / ((u / z) \ 1))) / w) * v5)) = K(x,K(y,v5 / (((z / (z / u)) / z) * w))). [para(11186(a,1),13947(a,1,2,2,2,1)),flip(a)]. given #12683 (H,wt=33): 14037 K(x,K(y,((z \ u) * (w * z)) / T(w * u,a(w,z,z \ u)))) = a(y,z,K(x,K(z \ u,w))). [hyper(228,a,13031,a,b,13951,a)]. given #12684 (H,wt=33): 14039 K(x,K(y,((z \ u) * (w * z)) / T(w * u,a(w,z,z \ u)))) = a(y,z,K(x,K(w,u / z))). [para(13614(a,1),14037(a,2,3))]. given #12685 (H,wt=26): 14040 K(x,K(y,((z \ u) * (w * z)) / (w * u))) = a(y,z,K(x,K(w,u / z))). [hyper(228,a,13908,a(flip),b,14039,a(flip)),flip(a)]. given #12686 (H,wt=34): 13981 K(x,K(y,((z \ (z * ((1 / z) * u))) * w) * v5)) = K(x,K(y,(L(u / z,z,1 / z) * w) * v5)). [para(800(a,1),13940(a,1,2,2,1,1)),flip(a)]. given #12687 (H,wt=30): 14042 K(x,K(y,(L(z / u,u,1 / u) * w) * v5)) = K(x,K(y,(((1 / u) * z) * w) * v5)). [para(13(a,1),13981(a,1,2,2,1,1)),flip(a)]. given #12688 (H,wt=33): 14043 K(x,K(y,(z * u) * R(L(w / v5,v5,1 / v5),z,u))) = K(x,K(y,(((1 / v5) * w) * z) * u)). [hyper(13772,a,14042,a)]. given #12689 (H,wt=33): 14045 K(x,K(y,(z * u) * L(R(w / v5,z,u),v5,1 / v5))) = K(x,K(y,(((1 / v5) * w) * z) * u)). [para(44(a,1),14043(a,1,2,2,2))]. given #12690 (H,wt=35): 13980 K(x,L(K(y,z),K(u,w) / w,v5)) * K(K(y,z),x) = a(v5,K(u,w) / (K(z,y) * w),K(K(y,z),x)). [para(13979(a,2),9694(a,2,2))]. given #12691 (H,wt=35): 14038 K(x,K(y,(z / u) * (((1 / z) * u) / (((1 / z) * u) * w)))) = K(x,K(y,1 / (w * ((1 / z) * u)))). [para(13783(a,1),13965(a,1,2)),flip(a)]. given #12692 (H,wt=35): 14046 K(x,K(y,L(z,K(u,w) / w,v5))) * K(K(z,y),x) = a(v5,K(u,w) / (K(y,z) * w),K(K(z,y),x)). [para(8506(a,1),13980(a,1,1))]. given #12693 (H,wt=36): 14047 K(x,K(y,(z / u) * (((1 / z) * u) / (((1 / z) * u) * w)))) != v5 | K(x,K(y,w * ((1 / z) * u))) = v5. [para(14038(a,2),8100(a,1))]. given #12694 (H,wt=41): 14036 K(((1 / (x \ y)) * ((z * (((y \ x) \ u) * (y \ x))) / (1 / (x \ y)))) \ u,w) = K(1 / z,T(w,u / (1 / (x \ y)))). [para(13230(a,1),14033(a,1,1,1,2,1,2))]. given #12695 (H,wt=37): 14048 K(((x \ y) * ((z * (((x \ y) \ u) * (x \ y))) / (x \ y))) \ u,w) = K(1 / z,T(w,u / (1 / (y \ x)))). [para(13241(a,1),14036(a,1,1,1))]. given #12696 (H,wt=25): 14049 K(1 / x,T(y,z / (1 / (u \ w)))) = K(1 / x,T(y,z / (w \ u))). [hyper(14035,a,14048,a),flip(a)]. given #12697 (H,wt=25): 14050 K(1 / x,T(y,z / (1 / (u \ w)))) = K(1 / x,T(y,z / (u / w))). [hyper(228,a,13882,a,b,14049,a)]. given #12698 (H,wt=25): 14051 K(1 / x,T(y,z / (1 / (u / w)))) = K(1 / x,T(y,z / (w / u))). [hyper(228,a,13997,a,b,14050,a(flip)),flip(a)]. given #12699 (H,wt=23): 14052 K(1 / x,T(y,z / (u / w))) = K(1 / x,T(y,(w / u) * z)). [hyper(13770,a,14051,a),flip(a)]. given #12700 (H,wt=27): 14053 T(1 / x,T(y,z / (u / T(w,v5)))) = K(1 / x,T(y,(w / u) * z)) / x. [para(14052(a,1),13998(a,2,1))]. given #12701 (H,wt=25): 14054 T(1 / x,T(y,z / (u / T(w,v5)))) = T(1 / x,T(y,(w / u) * z)). [hyper(228,a,4858,a(flip),b,14053,a)]. given #12702 (H,wt=35): 14055 T(T(1 / (1 / L(x,y,z)),T(u,(w / v5) * v6)),1 / x) = T(L(x,y,z),T(u,v6 / (v5 / T(w,v7)))). [para(14054(a,1),2793(a,1,1))]. given #12703 (H,wt=27): 14056 T(L(x,y,z),T(u,w / (v5 / T(v6,v7)))) = T(L(x,y,z),T(u,(v6 / v5) * w)). [hyper(228,a,2793,a(flip),b,14055,a(flip))]. given #12704 (H,wt=43): 13971 K(x,K(T(R(y,K(z,u),w),K(z,u)),L(v5,K(z,u) * w,v6))) = K(x,K(v5,(((K(z,u) * y) * w) * v6) / (v6 * (K(z,u) * w)))). [para(7799(a,1),13935(a,1,2,1))]. given #12705 (H,wt=39): 14057 K(x,K(y,(((K(z,u) * w) * v5) * v6) / (v6 * (K(z,u) * v5)))) = K(x,K(R(w,K(z,u),v5),L(y,K(z,u) * v5,v6))). [hyper(13748,a,13971,a),flip(a)]. given #12706 (H,wt=39): 14058 K(x,K(y,(((K(z,u) * w) * v5) * v6) / (v6 * (K(z,u) * v5)))) = K(x,K(w,L(L(y,K(z,u) * v5,v6),K(z,u),v5))). [para(13316(a,1),14057(a,2,2))]. given #12707 (H,wt=34): 14059 K(x,K(y,(((K(z,u) * w) * v5) * v6) / (v6 * (K(z,u) * v5)))) = K(x,K(w,L(y,K(z,u) * v5,v6))). [hyper(228,a,13991,a(flip),b,14058,a)]. given #12708 (H,wt=30): 14060 K(x,K(y,(((K(z,u) * w) * v5) * v6) / (v6 * v5))) = K(x,K(w,L(y,K(z,u) * v5,v6))). [hyper(13985,a,14059,a)]. given #12709 (H,wt=25): 14062 K(x,K(y,L(K(z,u) * w,v5,v6))) = K(x,K(w,L(y,K(z,u) * v5,v6))). [hyper(228,a,13950,a(flip),b,14060,a(flip)),flip(a)]. given #12710 (H,wt=21): 14063 K(x,K(y,L(z,K(u,w) * v5,v6))) = K(x,K(y,L(z,v5,v6))). [hyper(228,a,13955,a(flip),b,14062,a(flip))]. given #12711 (H,wt=21): 14064 L(K(x,K(y,z)),K(u,w) * v5,v6) = K(y,K(z,L(x,v5,v6))). [hyper(11427,a,14063,a)]. given #12712 (H,wt=23): 14066 K(x,K(y,L(z,K(u,w) / v5,v6))) = K(x,K(y,L(z,1 / v5,v6))). [para(11056(a,1),14063(a,1,2,2,2))]. given #12713 (H,wt=27): 14067 L(K(x,K(y,z)),K(u,w) * v5,v6) = a(x,v5,K(v6,K(y,z))) * K(x,K(y,z)). [hyper(228,a,13075,a,b,14064,a)]. given #12714 (H,wt=21): 14068 a(x,K(y,z) * u,K(w,K(v5,v6))) = a(x,u,K(w,K(v5,v6))). [hyper(13076,a,14067,a)]. given #12715 (H,wt=21): 14069 a(x,y * (z / y),K(u,K(w,v5))) = a(x,z,K(u,K(w,v5))). [para(4624(a,1),14068(a,1,2)),flip(a)]. given #12716 (H,wt=21): 14070 a(x,y / z,K(u,K(w,v5))) = a(x,z \ y,K(u,K(w,v5))). [para(4738(a,1),14068(a,1,2))]. given #12717 (H,wt=25): 14071 a(x,1 / y,K(z,K(u,w * y))) = a(x,w,K((1 / y) / w,K(z,u))). [hyper(228,a,11443,a(flip),b,14069,a(flip))]. given #12718 (H,wt=25): 14072 a(x,1 / y,K(z,K(u,w * y))) = a(x,w,K(z,K(u,(1 / y) / w))). [para(7728(a,2),14071(a,2,3))]. given #12719 (H,wt=23): 14073 a(x,1 / y,K(z,K(u,w * y))) = a(x,w,K(z,K(u,w * y))). [para(8103(a,1),14072(a,2,3))]. given #12720 (H,wt=25): 14074 a(x,1 / (y \ z),K(u,K(w,z))) = a(x,y,K(u,K(w,y * (y \ z)))). [para(14(a,1),14073(a,1,3,2,2))]. given #12721 (H,wt=25): 14075 a(x,1 / (y \ z),K(z,K(u,w))) = a(x,y,K(u,K(w,y * (y \ z)))). [para(7728(a,1),14074(a,1,3))]. given #12722 (H,wt=21): 14076 a(x,1 / (y \ z),K(z,K(u,w))) = a(x,y,K(u,K(w,z))). [para(14(a,1),14075(a,2,3,2,2))]. given #12723 (H,wt=21): 14077 a(x,1 / (y \ z),K(z,K(u,w))) = a(x,y,K(z,K(u,w))). [para(7728(a,1),14076(a,2,3))]. given #12724 (H,wt=21): 14078 a(x,1 / y,K(z,K(u,w))) = a(x,z / y,K(z,K(u,w))). [para(64(a,1),14077(a,1,2,2))]. given #12725 (H,wt=21): 14079 a(x,1 / y,K(z,K(u,w))) = a(x,w / y,K(w,K(z,u))). [para(7728(a,2),14078(a,1,3))]. given #12726 (H,wt=21): 14080 a(x,1 / y,K(z,K(u,w))) = a(x,w / y,K(z,K(u,w))). [para(7728(a,2),14079(a,2,3))]. given #12727 (H,wt=21): 14081 a(x,1 / y,K(z,K(u,w))) = a(w,u / y,K(z,K(x,u))). [hyper(13088,a,14080,a)]. given #12728 (H,wt=21): 14082 a(x,1 / y,K(z,K(u,w))) = a(w,u / y,K(z,K(u,x))). [para(7741(a,1),14081(a,2,3))]. given #12729 (H,wt=46): 13721 (x * (K(y,K(z,u)) * w)) \ ((x * K(y,K(z,u))) * (L(w,K(y,K(z,u)),x) * v5)) = L(v5,L(w,K(y,K(z,u)),x),K(y,K(z,u)) * x). [para(13623(a,2),446(a,2,3))]. given #12730 (H,wt=62): 9973 K(1 / x,x) \ (R(1 / L(x,y,z),L(x,y,z),K(1 / x,x)) * ((u * (1 / (1 / L(x,y,z)))) / u)) = K(u,1 / (K(1 / x,x) \ R(1 / L(x,y,z),L(x,y,z),K(1 / x,x)))). [para(6376(a,1),6150(a,1,2,2,1,2))]. given #12731 (H,wt=52): 14083 K(x,1 / (K(1 / y,y) \ R(1 / L(y,z,u),L(y,z,u),K(1 / y,y)))) = K(1 / y,y) \ ((1 / L(y,z,u)) * ((x * (1 / (1 / L(y,z,u)))) / x)). [para(4320(a,1),9973(a,1,2,1)),flip(a)]. given #12732 (H,wt=52): 14084 K(x,1 / (K(1 / y,y) \ R(1 / L(y,z,u),L(y,z,u),K(1 / y,y)))) = K(1 / y,y) \ ((1 / L(y,z,u)) * (1 / (1 / ((x * L(y,z,u)) / x)))). [para(2405(a,1),14083(a,2,2,2))]. given #12733 (H,wt=46): 14086 K(x,1 / (K(1 / y,y) \ R(1 / L(y,z,u),L(y,z,u),K(1 / y,y)))) = K(1 / y,y) \ ((T(L(y,z,u),x) \ 1) * L(y,z,u)). [para(12096(a,1),14084(a,2,2))]. given #12734 (H,wt=46): 14087 K(x,1 / (K(1 / y,y) \ R(1 / L(y,z,u),L(y,z,u),K(1 / y,y)))) = K(y,1 / y) * ((T(L(y,z,u),x) \ 1) * L(y,z,u)). [hyper(228,a,5035,a(flip),b,14086,a)]. given #12735 (H,wt=44): 14088 K(x,1 / (K(1 / y,y) \ R(1 / L(y,z,u),L(y,z,u),K(1 / y,y)))) = (T(L(y,z,u),x) \ 1) * L((y \ 1) \ 1,z,u). [hyper(228,a,6789,a(flip),b,14087,a)]. given #12736 (H,wt=34): 14089 K(x,1 / (K(1 / y,y) \ (1 / L(y,z,u)))) = (T(L(y,z,u),x) \ 1) * L((y \ 1) \ 1,z,u). [para(4320(a,1),14088(a,1,2,2,2))]. given #12737 (H,wt=34): 14091 K(x,1 / (K(y,1 / y) * (1 / L(y,z,u)))) = (T(L(y,z,u),x) \ 1) * L((y \ 1) \ 1,z,u). [para(5035(a,1),14089(a,1,2,2))]. given #12738 (H,wt=32): 14092 (T(L(x,y,z),u) \ 1) * L((x \ 1) \ 1,y,z) = K(u,1 / (1 / (1 / (1 / L(x,y,z))))). [para(6377(a,1),14091(a,1,2,2)),flip(a)]. given #12739 (H,wt=26): 14093 (T(L(x,y,z),u) \ 1) * L((x \ 1) \ 1,y,z) = K(u,T(L(x,y,z),1)). [hyper(228,a,8971,a(flip),b,14092,a)]. given #12740 (H,wt=24): 14094 (T(L(x,y,z),u) \ 1) * L((x \ 1) \ 1,y,z) = K(u,L(x,y,z)). [para(143(a,1),14093(a,2,2))]. given #12741 (H,wt=38): 14095 K(T(x,y / (z / T(u,w))),L(v5,v6,v7)) = (T(L(v5,v6,v7),T(x,(u / z) * y)) \ 1) * L((v5 \ 1) \ 1,v6,v7). [para(14056(a,1),14094(a,1,1,1)),flip(a)]. given #12742 (H,wt=27): 14096 K(T(x,y / (z / T(u,w))),L(v5,v6,v7)) = K(T(x,(u / z) * y),L(v5,v6,v7)). [hyper(228,a,14094,a(flip),b,14095,a)]. given #12743 (H,wt=27): 14097 K(T(x,y / (z / T(u,w))),L(v5,v6,v7)) = K(x,T(L(v5,v6,v7),(u / z) * y)). [hyper(228,a,7202,a(flip),b,14096,a)]. given #12744 (H,wt=27): 14098 K(x,T(L(y,z,u),w / (v5 / T(v6,v7)))) = K(x,T(L(y,z,u),(v6 / v5) * w)). [hyper(7637,a,14097,a)]. given #12745 (H,wt=25): 14099 K(x,T(L(y,z,u),w / (v5 / v6))) = K(x,T(L(y,z,u),(v6 / v5) * w)). [hyper(228,a,13995,a(flip),b,14098,a(flip)),flip(a)]. given #12746 (H,wt=26): 14100 K(x,T(L(y,z,T(x,u)),(T(w,v5) / v6) * v7)) = K(x,T(y,v7 / (v6 / w))). [hyper(228,a,13996,a(flip),b,14099,a(flip))]. given #12747 (H,wt=21): 14101 K(x,T(y,(T(z,u) / w) * v5)) = K(x,T(y,v5 / (w / z))). [hyper(228,a,8365,a(flip),b,14100,a(flip)),flip(a)]. given #12748 (H,wt=19): 14102 K(x,T(y,z / (u / w))) = K(x,T(y,(w / u) * z)). [para(112(a,1),14101(a,1,2,2,1,1)),flip(a)]. given #12749 (H,wt=19): 14104 K(x,T(y,z / (u \ w))) = K(x,T(y,(u / w) * z)). [hyper(228,a,13882,a(flip),b,14102,a(flip)),flip(a)]. given #12750 (H,wt=23): 14105 K(x,y) * K(x,K(y,(z / u) * w)) = K(x,T(y,w / (z \ u))). [hyper(228,a,7706,a,b,14104,a),flip(a)]. given #12751 (H,wt=19): 14106 K(x,K(y,z / (u / w))) = K(x,K(y,(w / u) * z)). [hyper(17,a,13896,a,b,14105,a),flip(a)]. given #12752 (H,wt=19): 14107 K(x,K(y,(z / u) / w)) = K(x,K(y,(u / z) * w)). [hyper(8181,a,14106,a)]. given #12753 (H,wt=19): 14108 K(x,K(y,((z / u) / z) * w)) = K(x,K(y,w / u)). [hyper(228,a,13918,a(flip),b,14106,a(flip))]. given #12754 (H,wt=19): 14109 K(x,K(y,(z / (z * u)) * w)) = K(x,K(y,w / u)). [hyper(228,a,13912,a(flip),b,14106,a(flip))]. given #12755 (H,wt=19): 14111 K(x,K(y,z * (u / (u * w)))) = K(x,K(y,z / w)). [hyper(13710,a,14109,a)]. given #12756 (H,wt=19): 14113 K(x,K(y,z / (u \ w))) = K(x,K(y,z * (u / w))). [para(14(a,1),14111(a,1,2,2,2,2)),flip(a)]. given #12757 (H,wt=21): 14112 K(x,K(y,z * ((1 / u) * w))) = K(x,K(y,(u / w) / z)). [hyper(14047,a,14111,a)]. given #12758 (H,wt=21): 14114 K(x,K(y,z * ((1 / u) * w))) = K(x,K(y,(w / u) * z)). [hyper(228,a,14107,a(flip),b,14112,a)]. given #12759 (H,wt=21): 14115 K(x,K(y,z * (u * (1 / w)))) = K(x,K(y,(u / w) * z)). [hyper(13975,a,14114,a)]. given #12760 (H,wt=24): 14116 K(x,K(y,z * L(u,w,1 / w))) = K(x,K(y,((w * u) / w) * z)). [para(193(a,1),14114(a,1,2,2,2))]. given #12761 (H,wt=20): 14117 K(x,K(y,z * L(u,w,1 / w))) = K(x,K(y,u * z)). [hyper(228,a,13921,a(flip),b,14116,a)]. given #12762 (H,wt=25): 14110 L(K(x,K(y,(z / u) * w)),v5,v6) = K(y,K(w / (z \ u),L(x,v5,v6))). [para(14106(a,1),13937(a,1,1))]. given #12763 (H,wt=25): 14120 K(x,K(y / (z \ u),L(w,v5,v6))) = K(x,K((z / u) * y,L(w,v5,v6))). [hyper(8686,a,14110,a),flip(a)]. given #12764 (H,wt=25): 14122 K(x,K(((y / z) / y) * u,L(w,v5,v6))) = K(x,K(u / z,L(w,v5,v6))). [para(64(a,1),14120(a,1,2,1,2)),flip(a)]. given #12765 (H,wt=25): 14123 K(x,K(y * ((z / u) / z),L(w,v5,v6))) = K(x,K(y / u,L(w,v5,v6))). [hyper(13749,a,14122,a)]. given #12766 (H,wt=26): 14121 K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(u * y) / (y * (y \ z)))). [hyper(228,a,13970,a(flip),b,14120,a(flip))]. given #12767 (H,wt=22): 14124 K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(u * y) / z)). [para(14(a,1),14121(a,2,2,2,2))]. given #12768 (H,wt=22): 14125 K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(y * u) / z)). [hyper(228,a,13946,a,b,14124,a)]. given #12769 (H,wt=24): 14127 K(x,K((y / z) / u,L(w,z,y))) = K(x,K(w,(y * (1 / u)) / z)). [para(5642(a,1),14125(a,1,2))]. given #12770 (H,wt=25): 14128 K(x,K((y / z) * u,L(w,z,y))) != v5 | K(x,K(w,(u * y) / z)) = v5. [para(14125(a,2),13949(a,1))]. given #12771 (H,wt=26): 14126 K(x,K((y / z) / u,L(w,z,y))) = K(x,K(w,(y * ((v5 / u) / v5)) / z)). [hyper(228,a,14123,a(flip),b,14125,a(flip)),flip(a)]. given #12772 (H,wt=25): 14129 K(x,K(y,(z * ((u / w) / u)) / v5)) = K(x,K(y,(z * (1 / w)) / v5)). [hyper(228,a,14127,a(flip),b,14126,a(flip))]. given #12773 (H,wt=23): 14130 K(x,K(y,(z * ((u / w) / u)) / v5)) = K(x,K(y,(w / z) * v5)). [hyper(228,a,13744,a(flip),b,14129,a)]. given #12774 (H,wt=23): 14131 K(x,K(y,z / (((u / w) / u) * v5))) = K(x,K(y,(w / v5) * z)). [hyper(13952,a,14130,a)]. given #12775 (H,wt=28): 14119 K(x,K(y,R(z / u,w,v5) * (w * v5))) = K(x,K(y,(((1 / u) * z) * w) * v5)). [hyper(228,a,14045,a(flip),b,14117,a(flip))]. given #12776 (H,wt=25): 14134 K(x,K(y,(((1 / z) * u) * w) * v5)) = K(x,K(y,((u / z) * w) * v5)). [para(109(a,1),14119(a,1,2,2)),flip(a)]. given #12777 (H,wt=25): 14135 K(x,K(y,(z * ((1 / u) * w)) * v5)) = K(x,K(y,((w / u) * z) * v5)). [hyper(228,a,13911,a,b,14134,a(flip)),flip(a)]. given #12778 (H,wt=27): 14136 K(x,K(y,((z / u) * w) * T(v5,v6))) = K(x,K(y,v5 * (w * ((1 / u) * z)))). [hyper(13972,a,14135,a),flip(a)]. given #12779 (H,wt=25): 14138 K(x,K(y,z * (u * ((1 / w) * v5)))) = K(x,K(y,z * ((v5 / w) * u))). [hyper(13972,a,14136,a),flip(a)]. given #12780 (H,wt=24): 14141 K(x,K(y,(z / u) * ((w / z) * u))) = K(x,K(y,L(w,1 / z,u))). [hyper(228,a,13789,a(flip),b,14138,a(flip))]. given #12781 (H,wt=25): 14139 K(x,K(y,z * (((u / (1 / w)) / w) * v5))) = K(x,K(y,z * (v5 * u))). [hyper(13976,a,14138,a),flip(a)]. given #12782 (H,wt=25): 14140 K(x,K(y,z * (((1 / u) * w) * v5))) = K(x,K(y,z * ((w / u) * v5))). [hyper(13975,a,14138,a)]. given #12783 (H,wt=27): 14137 K(x,K(y,(z * ((1 / u) * w)) / v5)) = K(x,K(y,((w / u) * z) * (1 / v5))). [hyper(11447,a,14135,a)]. given #12784 (H,wt=25): 14144 K(x,K(y,(z * ((1 / u) * w)) / v5)) = K(x,K(y,((w / u) * z) / v5)). [hyper(228,a,6076,a(flip),b,14137,a)]. given #12785 (H,wt=27): 14143 K(x,K(y,z * (((u / (1 / w)) / w) * T(v5,v6)))) = K(x,K(y,(v5 * u) * z)). [hyper(228,a,13957,a(flip),b,14139,a)]. given #12786 (H,wt=25): 14145 K(x,K(y,z * ((u / (1 / w)) * K(w,v5)))) = K(x,K(y,(w * u) * z)). [para(5216(a,1),14143(a,1,2,2,2))]. given #12787 (H,wt=21): 14146 K(x,K(y,z * (u / (1 / w)))) = K(x,K(y,(w * u) * z)). [hyper(13974,a,14145,a)]. given #12788 (H,wt=28): 14142 K(x,K(y,((z / u) / w) * (u / (1 / w)))) = K(x,K(y,L(z,1 / u,1 / w))). [hyper(228,a,14115,a(flip),b,14141,a(flip)),flip(a)]. given #12789 (H,wt=26): 14147 K(x,K(y,(z * u) * ((w / u) / z))) = K(x,K(y,L(w,1 / u,1 / z))). [hyper(228,a,14146,a(flip),b,14142,a(flip)),flip(a)]. given #12790 (H,wt=29): 14132 K(x,K(y,((z / (z / ((u / z) \ 1))) / w) * v5)) = K(x,K(y,((z / u) / w) * v5)). [hyper(228,a,13966,a,b,14131,a(flip)),flip(a)]. given #12791 (H,wt=23): 14149 K(x,K(y,(z * (u / w)) / v5)) = K(x,K(y,((w / u) / z) * v5)). [hyper(228,a,13982,a(flip),b,14132,a(flip)),flip(a)]. given #12792 (H,wt=23): 14150 K(x,K(y,((z / u) * w) / v5)) = K(x,K(y,((u / z) / w) * v5)). [hyper(13949,a,14149,a)]. given #12793 (H,wt=23): 14152 K(x,K(y,z / ((u \ w) * v5))) = K(x,K(y,((u / w) / v5) * z)). [hyper(228,a,13968,a(flip),b,14149,a(flip)),flip(a)]. given #12794 (H,wt=23): 14154 K(x,K(y,((z \ u) * w) / v5)) = K(x,K(y,((z / u) / w) * v5)). [hyper(8181,a,14152,a)]. given #12795 (H,wt=25): 14153 K(x,K(y,(z * ((1 / u) * w)) / v5)) = K(x,K(y,((u / w) / z) * v5)). [hyper(228,a,14144,a,b,14150,a(flip)),flip(a)]. given #12796 (H,wt=25): 14157 K(x,K(y,z / (u * ((1 / w) * v5)))) = K(x,K(y,((w / v5) / u) * z)). [hyper(8181,a,14153,a)]. given #12797 (H,wt=26): 14156 K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(y,z,K(x,K(w,u / z))). [hyper(228,a,14040,a(flip),b,14154,a(flip))]. given #12798 (H,wt=26): 14159 K(x,K(y,(z * u) * ((w / u) / (z * w)))) = a(x,w,K(y,K(z,u / w))). [hyper(13708,a,14156,a)]. given #12799 (H,wt=27): 14155 K(x,K(y,((z / u) / T(w,z \ u)) * v5)) = K(x,K(y,v5 / (w * (z \ u)))). [para(113(a,1),14152(a,1,2,2,2)),flip(a)]. given #12800 (H,wt=23): 14163 K(x,K(y,z / (u * (w \ v5)))) = K(x,K(y,z * ((w / v5) / u))). [hyper(13973,a,14155,a),flip(a)]. given #12801 (H,wt=23): 14164 K(x,K(y,z / (u * (w / v5)))) = K(x,K(y,z * ((v5 / w) / u))). [hyper(13987,a,14163,a)]. given #12802 (H,wt=22): 14165 K(x,K(y,(z * u) * ((w / u) / z))) = K(x,K(w,L(y,u,z))). [hyper(13843,a,14164,a),flip(a)]. given #12803 (H,wt=21): 14166 K(x,K(y,L(z,1 / u,1 / w))) = K(x,K(z,L(y,u,w))). [hyper(228,a,14147,a(flip),b,14165,a(flip)),flip(a)]. given #12804 (H,wt=19): 14167 K(x,K(y,L(z,1 / u,w))) = K(x,K(z,L(y,u,w))). [hyper(228,a,13122,a(flip),b,14166,a(flip)),flip(a)]. given #12805 (H,wt=21): 14168 K(x,K(y,L(z,K(u,w) / v5,v6))) = K(x,K(z,L(y,v5,v6))). [hyper(228,a,14066,a,b,14167,a(flip)),flip(a)]. given #12806 (H,wt=28): 14158 K(x,K(y,((z / u) / w) * ((w * (1 / z)) * u))) = K(x,K(y,a(w,1 / z,u))). [para(12891(a,1),14157(a,1,2)),flip(a)]. given #12807 (H,wt=28): 14162 K(x,K(y,((z / u) * w) * ((u / w) / z))) = a(x,u,K(y,K(z / u,w / u))). [para(16(a,1),14159(a,1,2,2,2,2))]. given #12808 (H,wt=28): 14170 K(x,K(y,((z / u) / w) * ((w * (1 / z)) * u))) = a(x,1 / z,K(y,K(w,u))). [hyper(228,a,13074,a,b,14158,a)]. given #12809 (H,wt=29): 14161 a(x,y,K(z,K(u,w / y))) != v5 | K(x,K(z,((y / w) / (u * y)) * (u * w))) = v5. [para(14156(a,1),7725(a,1))]. given #12810 (H,wt=30): 14160 K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(y,(u / z) * z,K(x,K(w,u / z))). [hyper(228,a,13116,a,b,14156,a)]. given #12811 (H,wt=26): 14171 K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(y,u,K(x,K(w,u / z))). [para(16(a,1),14160(a,2,2))]. given #12812 (H,wt=31): 14169 a(x,K(y,z) / (K(u,w) * z),K(K(w,u),v5)) = K(v5,K(w,L(u,z,x))) * K(K(w,u),v5). [para(14168(a,1),14046(a,1,1)),flip(a)]. given #12813 (H,wt=31): 14172 a(x,K(y,z) / (K(u,w) * z),K(K(w,u),v5)) = K(v5,K(w,L(u,z,x))) * K(v5,K(w,u)). [para(7740(a,1),14169(a,2,2))]. given #12814 (H,wt=29): 14174 a(x,K(y,z) / (K(u,w) * z),K(K(w,u),v5)) = K(K(w,L(u,z,x)) * K(u,w),v5). [hyper(228,a,11633,a(flip),b,14172,a)]. given #12815 (H,wt=27): 14175 a(x,K(y,z) / (K(u,w) * z),K(K(w,u),v5)) = K(a(x,z * u,K(u,w)),v5). [para(9694(a,1),14174(a,2,1))]. given #12816 (H,wt=25): 14176 a(x,K(y,z) / (K(u,w) * z),K(K(w,u),v5)) = a(u,z,K(v5,K(w,x))). [hyper(228,a,13119,a(flip),b,14175,a)]. given #12817 (H,wt=25): 14177 a(x,(K(y,z) / z) * K(u,w),K(K(u,w),v5)) = a(w,z,K(v5,K(u,x))). [para(13979(a,1),14176(a,1,2))]. given #12818 (H,wt=25): 14178 a(x,(K(y,z) / z) * K(u,w),K(v5,K(u,w))) = a(w,z,K(v5,K(u,x))). [para(7740(a,1),14177(a,1,3))]. given #12819 (H,wt=21): 14179 a(x,K(y,z) / z,K(u,K(w,v5))) = a(v5,z,K(u,K(w,x))). [hyper(11446,a,14178,a)]. given #12820 (H,wt=19): 14180 a(x,1 / y,K(z,K(u,w))) = a(w,y,K(z,K(u,x))). [para(147(a,1),14179(a,1,2,1))]. given #12821 (H,wt=19): 14182 a(x,y / z,K(u,K(y,w))) = a(x,z,K(u,K(y,w))). [hyper(228,a,14082,a(flip),b,14180,a(flip)),flip(a)]. given #12822 (H,wt=22): 14183 a(x,y / z,K(u,K(y,w))) != v5 | a(y,z,K(u,K(x,w))) = v5. [para(14182(a,2),13090(a,1))]. given #12823 (H,wt=26): 14181 K(x,K(y,((z / u) / w) * ((w * (1 / z)) * u))) = a(u,z,K(y,K(w,x))). [hyper(228,a,14170,a,b,14180,a(flip)),flip(a)]. given #12824 (H,wt=26): 14184 K(x,K(y,((z / u) / w) * ((w * (1 / z)) * u))) = a(u,z,K(x,K(y,w))). [para(7728(a,1),14181(a,2,3))]. given #12825 (H,wt=46): 14185 K(x,K(y,((z / u) / (1 / (K(w,1 / z) / w))) * (((1 / z) * (1 / (1 / w))) * u))) = a(u,z,K(x,K(y,1 / (K(w,1 / z) / w)))). [para(5825(a,1),14184(a,1,2,2,2,1))]. given #12826 (H,wt=42): 14186 K(x,K(y,((z / u) / (1 / (K(w,1 / z) / w))) * (((1 / z) * w) * u))) = a(u,z,K(x,K(y,1 / (K(w,1 / z) / w)))). [para(9983(a,1),14185(a,1,2))]. given #12827 (H,wt=40): 14187 K(x,K(y,((z / u) / (w * K(1 / z,w))) * (((1 / z) * w) * u))) = a(u,z,K(x,K(y,1 / (K(w,1 / z) / w)))). [para(6194(a,1),14186(a,1,2))]. given #12828 (H,wt=40): 14188 K(x,K(y,(((z / u) / w) * K(w,1 / z)) * (((1 / z) * w) * u))) = a(u,z,K(x,K(y,1 / (K(w,1 / z) / w)))). [para(6624(a,1),14187(a,1,2,2,1))]. given #12829 (H,wt=38): 14189 K(x,K(y,(((z / u) / w) * K(w,1 / z)) * ((w / z) * u))) = a(u,z,K(x,K(y,1 / (K(w,1 / z) / w)))). [hyper(228,a,14140,a(flip),b,14188,a(flip)),flip(a)]. given #12830 (H,wt=32): 14190 K(x,K(y,((z / u) * w) * ((u / w) / z))) = a(w,u,K(x,K(y,1 / (K(z,1 / u) / z)))). [hyper(13941,a,14189,a)]. given #12831 (H,wt=30): 14191 K(x,K(y,((z / u) * w) * ((u / w) / z))) = a(w,u,K(x,K(y,z * K(1 / u,z)))). [para(5136(a,1),14190(a,2,3,2))]. given #12832 (H,wt=24): 14192 K(x,K(y,((z / u) * w) * ((u / w) / z))) = a(w,u,K(x,K(y,z))). [para(13906(a,1),14191(a,2,3))]. given #12833 (H,wt=21): 14193 a(x,y,K(z,K(u / y,w / y))) = a(w,y,K(x,K(z,u))). [hyper(228,a,14162,a(flip),b,14192,a(flip)),flip(a)]. given #12834 (H,wt=25): 14195 a(x,y \ z,K(u,K(y,w / (y \ z)))) = a(w,y \ z,K(x,K(u,z))). [para(61(a,1),14193(a,1,3,2,1))]. given #12835 (H,wt=25): 14196 a(x,y \ z,K(u,K(y,w * (y / z)))) = a(w,y \ z,K(x,K(u,z))). [para(14113(a,1),14195(a,1,3))]. given #12836 (H,wt=25): 14197 a(x,y \ z,K(y,K(u,w * (y / z)))) = a(w,y \ z,K(x,K(u,z))). [para(7723(a,1),14196(a,1,3))]. given #12837 (H,wt=23): 14198 a(x,y \ z,K(y,K(u,w / z))) = a(w,y \ z,K(x,K(u,z))). [para(14015(a,1),14197(a,1,3))]. given #12838 (H,wt=21): 14199 a(x,y \ z,K(u,K(w,z))) = a(u,z,K(y,K(w,x / z))). [hyper(228,a,13114,a(flip),b,14198,a(flip))]. given #12839 (H,wt=21): 14200 a(x,y \ z,K(u,K(z,w))) = a(u,z,K(y,K(w,x / z))). [para(7741(a,1),14199(a,1,3))]. given #12840 (H,wt=21): 14201 a(x,y / z,K(u,K(y,w))) = a(u,y,K(z,K(w,x / y))). [hyper(228,a,14070,a,b,14200,a(flip)),flip(a)]. given #12841 (H,wt=19): 14202 a(x,y,K(z,K(u,w / y))) = a(y,z,K(x,K(w,u))). [hyper(14183,a,14201,a),flip(a)]. given #12842 (H,wt=19): 14203 a(x,y,K(z,K(u,w / y))) = a(y,z,K(w,K(x,u))). [para(7723(a,1),14202(a,2,3))]. given #12843 (H,wt=24): 14204 K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(z,y,K(u,K(x,w))). [hyper(14161,a,14203,a)]. given #12844 (H,wt=24): 14205 K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(z,y,K(x,K(w,u))). [para(7728(a,2),14204(a,2,3))]. given #12845 (H,wt=19): 14206 a(x,y,K(z,K(u,y / w))) = a(w,x,K(z,K(u,y))). [hyper(228,a,14171,a(flip),b,14205,a(flip)),flip(a)]. given #12846 (H,wt=19): 14207 a(x,y,K(z,K(u,w / y))) = a(w,x,K(z,K(u,y))). [para(8088(a,1),14206(a,1,3))]. given #12847 (H,wt=19): 14208 a(x,y,K(z,K(u,w / y))) = a(w,x,K(z,K(y,u))). [para(7741(a,1),14207(a,2,3))]. given #12848 (H,wt=17): 14209 a(x,y,K(z,K(u,w))) = a(u,z,K(x,K(y,w))). [hyper(228,a,14203,a(flip),b,14208,a(flip))]. given #12849 (H,wt=23): 14210 a(x,y,K(z,K(u,w))) * K(z,K(x,w)) = L(K(z,K(x,w)),u,y). [para(14209(a,1),13070(a,1,1))]. given #12850 (H,wt=23): 14211 a(x,y,K(z,K(u,w))) * K(x,K(z,w)) = L(K(z,K(x,w)),u,y). [para(7723(a,1),14210(a,1,2))]. given #12851 (H,wt=17): 14212 L(K(x,K(y,z)),u,w) = K(x,K(z,L(y,w,u))). [hyper(13129,a,14211,a),flip(a)]. given #12852 (H,wt=17): 14213 K(x,K(y,L(z,u,w))) = K(x,K(y,L(z,w,u))). [hyper(8683,a,14212,a)]. given #12853 (H,wt=22): 14214 K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(u / z) * y)). [hyper(228,a,13986,a(flip),b,14213,a)]. given #12854 (H,wt=19): 14217 K(x,K(y,(z * u) / w)) = K(x,K(y,(z / w) * u)). [hyper(14128,a,14214,a)]. given #12855 (H,wt=26): 14216 K(x,K(y,L(L(1 / z,z,u),w,u * z))) = K(x,K(y,1 / L(z,u,w))). [para(6490(a,1),14213(a,1,2)),flip(a)]. given #12856 (H,wt=27): 14218 K(x,K(y,L(L(1 / z,z,u),w,u * z))) != v5 | K(x,K(y,L(z,u,w))) = v5. [para(14216(a,2),8100(a,1))]. given #12857 (H,wt=35): 14215 K(x,K(y,L(L(z,u,w),v5 / (w * u),w * u))) = K(x,K(y,v5 \ ((v5 / (w * u)) * (w * (u * z))))). [para(666(a,1),14213(a,1,2,2)),flip(a)]. given #12858 (H,wt=35): 14219 K(x,K(y,L(L(z,u,w),v5 / (w * u),w * u))) = K(x,K(y,((v5 / (w * u)) * (w * (u * z))) / v5)). [hyper(228,a,13613,a,b,14215,a)]. given #12859 (H,wt=35): 14220 K(x,K(y,L(L(z,u,w),v5 / (w * u),w * u))) = K(x,K(y,((v5 / (w * u)) / v5) * (w * (u * z)))). [hyper(228,a,14217,a(flip),b,14219,a)]. given #12860 (H,wt=31): 14221 K(x,K(y,L(L(z,u,w),v5 / (w * u),w * u))) = K(x,K(y,(w * (u * z)) / (w * u))). [hyper(228,a,14108,a(flip),b,14220,a)]. given #12861 (H,wt=30): 14224 K(x,K(y,L(L(z,u,w),v5 / (w * u),w * u))) = K(x,K(y,T(L(z,u,w),w * u))). [para(7910(a,1),14221(a,2,2))]. given #12862 (H,wt=26): 14225 K(x,K(y,L(L(z,u,w),v5 / (w * u),w * u))) = K(x,K(y,L(z,u,w))). [hyper(228,a,13608,a(flip),b,14224,a)]. given #12863 (H,wt=22): 14228 K(x,K(y,L(L(z,u,w),v5,w * u))) = K(x,K(y,L(z,u,w))). [hyper(228,a,13134,a(flip),b,14225,a(flip)),flip(a)]. given #12864 (H,wt=19): 14229 K(x,K(y,L(1 / z,z,u))) = K(x,K(y,L(z,u,w))). [hyper(14218,a,14228,a),flip(a)]. given #12865 (H,wt=16): 14232 K(x,K(y,L(z,u,w))) = K(x,K(y,1 / z)). [para(5763(a,1),14229(a,1,2)),flip(a)]. given #12866 (H,wt=14): 14234 K(x,K(y,L(z,u,w))) = K(z,K(x,y)). [hyper(228,a,8098,a(flip),b,14232,a)]. given #12867 (H,wt=14): 14235 K(x,K(y,L(z,u,w))) = K(x,K(y,z)). [hyper(228,a,8087,a(flip),b,14232,a)]. given #12868 (H,wt=14): 14239 L(K(x,K(y,z)),u,w) = K(x,K(y,z)). [hyper(11427,a,14234,a)]. given #12869 (H,wt=10): 14260 a(x,y,K(z,K(u,w))) = 1. [hyper(70,a,14239,a,b,9692,a),flip(a)]. given #12870 (H,wt=10): 14262 a(K(x,y),z,K(u,w)) = 1. [hyper(70,a,14239,a(flip),b,13018,a),flip(a)]. given #12871 (H,wt=10): 14267 a(K(x,K(y,z)),u,w) = 1. [hyper(228,a,12987,a,b,14260,a(flip)),flip(a)]. given #12872 (H,wt=10): 14268 K(x,K(y,a(z,u,w))) = 1. [hyper(228,a,13074,a(flip),b,14260,a(flip)),flip(a)]. given #12873 (H,wt=10): 14272 K(a(K(x,y),z,u),w) = 1. [hyper(228,a,13028,a(flip),b,14262,a(flip)),flip(a)]. given #12874 (H,wt=10): 14276 L(x,y,K(z,K(u,w))) = x. [hyper(33,a,14267,a)]. given #12875 (H,wt=10): 14283 T(x,K(y,a(z,u,w))) = x. [hyper(37,a,14268,a)]. given #12876 (H,wt=10): 14298 T(x,a(y,z,K(u,w))) = x. [para(12966(a,2),14283(a,1,2))]. given #12877 (H,wt=12): 14271 L(K(x,y),z,K(u,w)) = K(x,y). [hyper(33,a,14262,a)]. given #12878 (H,wt=12): 14291 K(x,T(y,a(z,u,w))) = K(x,y). [hyper(8774,a,14283,a)]. given #12879 (H,wt=12): 14292 T(x,K(y,a(z,u,w) \ 1)) = x. [hyper(8124,a,14283,a)]. given #12880 (H,wt=12): 14305 K(x,L(y,z,K(u,w))) = K(x,y). [hyper(11414,a,14271,a)]. given #12881 (H,wt=12): 14306 K(L(x,y,K(z,u)),w) = K(x,w). [hyper(9005,a,14271,a)]. given #12882 (H,wt=14): 14242 K(L(K(x,y),z,u),w) = K(x,K(y,w)). [hyper(228,a,8511,a,b,14234,a(flip)),flip(a)]. given #12883 (H,wt=15): 14270 T(a(x,y,z),K(u,w)) = a(x,y,z) * 1. [para(14260(a,1),12973(a,1,2)),flip(a)]. given #12884 (H,wt=13): 14330 T(a(x,y,z),K(u,w)) = a(x,y,z). [hyper(228,a,12,a(flip),b,14270,a)]. given #12885 (H,wt=15): 14286 T(a(K(x,y),z,u),w) = a(K(x,y),z,u). [hyper(37,a,14272,a)]. given #12886 (H,wt=15): 14313 L(K(x,y),z,L(K(u,w),v5,v6)) = K(x,y). [para(6100(a,1),14271(a,1,3))]. given #12887 (H,wt=15): 14331 T(a(x,y,z),T(u,w)) = T(a(x,y,z),u). [para(14330(a,1),7664(a,1,1)),flip(a)]. given #12888 (H,wt=16): 14329 T(x,L(K(y,z),u,w)) = K(y,K(z,x)) \ x. [para(14242(a,1),4666(a,2,1))]. given #12889 (H,wt=14): 14339 T(x,L(K(y,z),u,w)) = T(x,K(y,z)). [hyper(228,a,7710,a(flip),b,14329,a)]. given #12890 (H,wt=14): 14341 T(x,K(y,L(z,u,w))) = T(x,K(y,z)). [para(6315(a,1),14339(a,1,2))]. given #12891 (H,wt=17): 14238 K(x,K(y,L(z,u,w))) != v5 | K(x,K(y,z)) = v5. [para(14232(a,2),8100(a,1))]. given #12892 (H,wt=17): 14243 K(x,K(y,L(z,u,w))) != v5 | K(y,K(x,z)) = v5. [para(14234(a,2),7715(a,1))]. given #12893 (H,wt=17): 14244 K(x,K(y,L(z,u,w))) != v5 | K(x,K(z,y)) = v5. [para(14234(a,2),7725(a,1))]. given #12894 (H,wt=17): 14294 K(x,a(y,z,u)) * w = w * K(x,a(y,z,u)). [hyper(5994,a,14283,a),flip(a)]. given #12895 (H,wt=15): 14347 K(x,T(a(y,z,u),w)) = K(x,a(y,z,u)). [hyper(8208,a,14294,a)]. given #12896 (H,wt=15): 14348 K(x,T(a(y,z,u),w)) = a(x,z,K(u,y)). [hyper(228,a,13008,a,b,14347,a)]. given #12897 (H,wt=17): 14299 (x * a(y,z,K(u,w))) / x = a(y,z,K(u,w)). [hyper(4200,a,14298,a)]. given #12898 (H,wt=17): 14300 a(x,y,K(z,u)) * w = w * a(x,y,K(z,u)). [hyper(2175,a,14298,a),flip(a)]. given #12899 (H,wt=17): 14301 (a(x,y,K(z,u)) \ w) * a(x,y,K(z,u)) = w. [hyper(2174,a,14298,a)]. given #12900 (H,wt=17): 14332 T(a(x,y,z),u / w) = T(a(x,y,z),w \ u). [para(14330(a,1),8551(a,1,1))]. given #12901 (H,wt=17): 14335 a(K(x,y),z,u) * w = w * a(K(x,y),z,u). [para(14286(a,1),113(a,1,2)),flip(a)]. given #12902 (H,wt=17): 14352 a(x,y,K(z,u)) * w = w * a(z,y,K(u,x)). [hyper(13097,a,14300,a)]. given #12903 (H,wt=17): 14353 a(x,y,K(z,u)) \ w = w * a(u,y,K(z,x)). [hyper(228,a,13023,a,b,14300,a(flip)),flip(a)]. given #12904 (H,wt=17): 14356 (a(x,y,K(z,u)) * w) * a(u,y,K(z,x)) = w. [para(13023(a,1),14301(a,1,1))]. given #12905 (H,wt=17): 14359 a(K(x,y),z,u) \ (w * a(u,z,K(y,x))) = w. [hyper(71,a,13029,a(flip),b,14335,a)]. given #12906 (H,wt=17): 14360 a(K(x,y),z,u) \ w = w * a(K(y,x),z,u). [hyper(71,a,12066,a(flip),b,14335,a)]. given #12907 (H,wt=19): 14245 (x * y) * K(z,K(u,w)) = x * (y * K(z,K(u,w))). [para(14234(a,1),8512(a,1,2))]. given #12908 (H,wt=19): 14257 K(x,K(y,z)) * (u * w) = u * (w * K(x,K(y,z))). [para(14235(a,1),13719(a,1,1))]. given #12909 (H,wt=19): 14263 (K(x,K(y,z)) * u) * w = K(x,K(y,z)) * (u * w). [para(14239(a,1),13328(a,1,1)),flip(a)]. given #12910 (H,wt=19): 14264 K(x,K(y,z)) \ (u * w) = (K(x,K(y,z)) \ u) * w. [para(14239(a,1),13348(a,1,1))]. given #12911 (H,wt=19): 14288 (K(x,K(y,z)) * u) / w = K(x,K(y,z)) * (u / w). [para(14276(a,1),506(a,1,2))]. given #12912 (H,wt=19): 14290 x \ (y * K(z,K(u,w))) = (x \ y) * K(z,K(u,w)). [para(14276(a,1),13392(a,1,1))]. given #12913 (H,wt=19): 14307 K(x,(K(y,z) * u) \ w) = K(x,u \ (K(y,z) \ w)). [hyper(6781,a,14271,a)]. given #12914 (H,wt=19): 14309 K((K(x,y) * z) \ u,w) = K(z \ (K(y,x) * u),w). [hyper(228,a,6333,a(flip),b,14271,a(flip))]. given #12915 (H,wt=19): 14310 (K(x,y) * z) * K(u,w) = K(x,y) * (z * K(u,w)). [para(14271(a,1),100(a,1,2))]. given #12916 (H,wt=19): 14321 (1 / a(x,y,z)) * K(u,w) = K(u,w) / a(x,y,z). [para(14291(a,1),11062(a,1,2))]. given #12917 (H,wt=19): 14324 K(x,(y \ K(z,u)) / w) = K(x,y \ (K(z,u) / w)). [para(11082(a,1),14305(a,1,2))]. given #12918 (H,wt=19): 14358 T(a(x,y,z \ 1),(x * y) \ z) = a(x,y,z \ 1). [hyper(228,a,13422,a(flip),b,14332,a(flip))]. given #12919 (H,wt=19): 14362 a(x,y,K(z,u)) * (w * u) = w * T(u,a(z,y,x)). [hyper(228,a,12968,a(flip),b,14352,a)]. given #12920 (H,wt=19): 14363 a(x,y,K(y \ (z \ 1),u)) = z \ R(z,K(u,x),y). [hyper(69,a,13196,a(flip),b,14353,a(flip))]. given #12921 (H,wt=19): 14368 K(x,K(y,z)) * (u * w) = u * (K(x,K(y,z)) * w). [para(13623(a,2),14257(a,2,2))]. given #12922 (H,wt=19): 14370 (K(x,K(y,z)) * u) * w = u * (w * K(x,K(y,z))). [hyper(228,a,14257,a(flip),b,14263,a)]. given #12923 (H,wt=19): 14373 (x * K(y,K(z,u))) \ w = K(y,K(z,u)) \ (x \ w). [hyper(4563,a,14264,a)]. given #12924 (H,wt=19): 14374 (K(x,K(y,z)) \ u) / w = K(x,K(y,z)) * (u / w). [para(7763(a,2),14288(a,1,1))]. given #12925 (H,wt=19): 14376 K(x,(y * K(z,u)) \ w) = K(x,y \ (K(z,u) \ w)). [hyper(13859,a,14307,a)]. given #12926 (H,wt=19): 14377 K(x,y \ (K(z,u) \ w)) = K(x,(y \ K(u,z)) * w). [hyper(6362,a,14307,a),flip(a)]. given #12927 (H,wt=19): 14378 K(x,(K(y,z) \ u) \ w) = K(x,u \ (K(z,y) \ w)). [para(5035(a,2),14307(a,1,2,1))]. given #12928 (H,wt=19): 14380 K((x * K(y,z)) \ u,w) = K(x \ (K(z,y) * u),w). [hyper(228,a,13817,a(flip),b,14309,a(flip)),flip(a)]. given #12929 (H,wt=19): 14385 (a(x,y,z) \ 1) * K(u,w) = K(u,w) / a(x,y,z). [para(11721(a,1),14321(a,1,1))]. given #12930 (H,wt=17): 14400 K(x,y) / a(z,u,w) = a(z,u,w) \ K(x,y). [hyper(5195,a,14385,a),flip(a)]. given #12931 (H,wt=19): 14386 K(x,K(y,z)) \ (u * w) = u * (K(x,K(y,z)) * w). [hyper(7766,a,14368,a)]. given #12932 (H,wt=19): 14390 (x * K(y,K(z,u))) * w = x * (w * K(y,K(z,u))). [para(13623(a,1),14370(a,1,1))]. given #12933 (H,wt=19): 14392 (x * K(y,K(z,u))) \ w = (x \ w) * K(y,K(z,u)). [hyper(228,a,13718,a(flip),b,14373,a)]. given #12934 (H,wt=19): 14394 K(x,(y * K(z,u)) \ w) = K(x,y \ (w * K(u,z))). [hyper(228,a,13861,a(flip),b,14376,a)]. given #12935 (H,wt=19): 14395 K(x,y \ (z * K(u,w))) = K(x,(y \ K(u,w)) * z). [hyper(14027,a,14377,a)]. given #12936 (H,wt=19): 14402 (x * K(y,K(z,u))) * w = x * (K(y,K(z,u)) * w). [para(13623(a,2),14390(a,2,2))]. given #12937 (H,wt=10): 14407 R(x,K(y,K(z,u)),w) = x. [hyper(4535,a,14402,a)]. given #12938 (H,wt=10): 14408 L(x,K(y,K(z,u)),w) = x. [hyper(445,a,14402,a)]. given #12939 (H,wt=19): 14403 (K(x,K(y,z)) * u) \ w = (u \ w) * K(x,K(y,z)). [para(13623(a,2),14392(a,1,1))]. given #12940 (H,wt=19): 14409 (x / (K(y,K(z,u)) * w)) * K(y,K(z,u)) = x / w. [hyper(72,a,16,a(flip),b,14402,a),flip(a)]. given #12941 (H,wt=19): 14414 x / (K(y,K(z,u)) * w) = K(y,K(z,u)) \ (x / w). [hyper(71,a,14409,a(flip),b,13623,a),flip(a)]. given #12942 (H,wt=19): 14415 K(x,K(y,z)) \ (u / (K(x,K(y,z)) \ w)) = u / w. [para(14(a,1),14414(a,1,2)),flip(a)]. given #12943 (H,wt=21): 14296 K(x,a(y,z,u) \ 1) * w = w * K(x,a(y,z,u) \ 1). [para(14283(a,1),8122(a,1,2))]. given #12944 (H,wt=21): 14340 T(x / L(K(y,z),u,w),K(y,z)) = L(K(y,z),u,w) \ x. [hyper(647,a,14339,a),flip(a)]. given #12945 (H,wt=21): 14343 T(x,K(y,z)) * K(y,L(z,u,w)) = K(y,L(z,u,w)) * x. [para(14341(a,1),7796(a,1,1))]. given #12946 (H,wt=21): 14355 K(x,y) * (z * a(x,u,K(w,y))) = L(K(x,y),u,w) * z. [para(14300(a,1),13022(a,1,2))]. given #12947 (H,wt=21): 14357 T(a(x,y,z),(u * z) \ w) = T(a(x,y,z),z \ (w / u)). [hyper(13128,a,14332,a),flip(a)]. given #12948 (H,wt=21): 14364 (a(x,y,K(z,u)) * w) \ 1 = a(u,y,K(z,x)) * (w \ 1). [para(14356(a,1),47(a,1,2,1)),flip(a)]. given #12949 (H,wt=21): 14381 (K(x,y) * z) * K(u,T(w,z)) = K(x,y) * (K(u,w) * z). [hyper(228,a,7280,a(flip),b,14310,a)]. given #12950 (H,wt=19): 14424 K(x,y) * (K(z,u) * w) = K(z,u) * (K(x,y) * w). [hyper(13874,a,14381,a)]. given #12951 (H,wt=21): 14397 K(x \ (K(y,z) * u),T(w,x)) = K(u / (x * K(z,y)),w). [hyper(13886,a,14380,a),flip(a)]. given #12952 (H,wt=21): 14416 K(x / y,a(z,u,w) \ 1) = K(y \ x,a(z,u,w) \ 1). [hyper(18,a,8284,a,b,14296,a),flip(a)]. given #12953 (H,wt=21): 14417 T(x * K(L(y,z,u),w),K(w,y)) = L(K(w,y),z,u) \ x. [para(11403(a,1),14340(a,1,1))]. given #12954 (H,wt=21): 14419 (K(x,y) * z) * a(x,u,K(w,y)) = L(K(x,y),u,w) * z. [hyper(17,a,1358,a(flip),b,14355,a)]. given #12955 (H,wt=21): 14421 T(a(x,y,z),z \ (u / w)) = T(a(x,y,z),z \ (w \ u)). [hyper(13127,a,14357,a),flip(a)]. given #12956 (H,wt=21): 14423 x \ (a(y,z,K(u,w)) \ 1) = a(w,z,K(u,y)) * (x \ 1). [hyper(228,a,118,a(flip),b,14364,a(flip)),flip(a)]. given #12957 (H,wt=21): 14429 K(x,y) * (K(z,u) * (x * w)) = K(z,u) * (T(x,y) * w). [para(4720(a,1),14424(a,1,2)),flip(a)]. given #12958 (H,wt=21): 14435 x \ (a(y,z,K(u,w)) * 1) = a(y,z,K(u,w)) * (x \ 1). [para(13023(a,1),14423(a,1,2))]. given #12959 (H,wt=19): 14437 a(x,y,K(z,u)) * (w \ 1) = w \ a(x,y,K(z,u)). [para(12(a,1),14435(a,1,2)),flip(a)]. given #12960 (H,wt=22): 14254 (x * y) * K(z,K(u,w)) != v5 | x * (y * K(z,K(u,w))) = v5. [para(14235(a,1),8509(a,1,2))]. given #12961 (H,wt=22): 14311 (K(x,y) * z) * K(u,w) != v5 | K(x,y) * (z * K(u,w)) = v5. [para(14271(a,1),218(a,1,2))]. given #12962 (H,wt=22): 14346 K(x,K(y,(z * u) / w)) != v5 | K(x,K(y,(z / w) * u)) = v5. [para(14125(a,1),14244(a,1))]. given #12963 (H,wt=22): 14393 (K(x,K(y,z)) \ u) / w != v5 | K(x,K(y,z)) \ (u / w) = v5. [para(14374(a,2),7766(a,1))]. given #12964 (H,wt=22): 14396 K(x,(y \ K(z,u)) * w) != v5 | K(x,y \ (w * K(z,u))) = v5. [para(14377(a,1),14027(a,1))]. given #12965 (H,wt=22): 14404 K(x,y \ (z * K(u,w))) != v5 | K(x,(K(w,u) * y) \ z) = v5. [para(14394(a,1),14028(a,1))]. given #12966 (H,wt=22): 14406 K(x,(y \ K(z,u)) * w) != v5 | K(x,y \ (K(z,u) * w)) = v5. [para(14395(a,1),14023(a,1))]. given #12967 (H,wt=22): 14425 K(x,y) * (K(z,u) * w) != v5 | K(z,u) * (K(x,y) * w) = v5. [para(14381(a,1),13874(a,1))]. given #12968 (H,wt=22): 14431 K(x / (y * K(z,u)),w) != v5 | K((K(u,z) * x) / y,w) = v5. [para(14397(a,1),7964(a,1))]. given #12969 (H,wt=22): 14439 K(x,K(y,z)) * (u * w) != v5 | u * (w * K(x,K(y,z))) = v5. [para(13623(a,2),14254(a,1))]. given #12970 (H,wt=22): 14441 K(x,(K(y,z) * u) \ w) != v5 | K(x,u \ (K(z,y) * w)) = v5. [para(5546(a,2),14406(a,1))]. given #12971 (H,wt=23): 14375 x \ (y * (z * K(u,K(w,v5)))) = (x \ (y * z)) * K(u,K(w,v5)). [para(14245(a,1),14290(a,1,2))]. given #12972 (H,wt=23): 14391 (x * (K(y,K(z,u)) * w)) * v5 = (x * w) * (v5 * K(y,K(z,u))). [para(14368(a,1),14370(a,1,1))]. given #12973 (H,wt=23): 14398 K((x * y) / (K(z,u) * y),w) = K(y \ (K(u,z) * (y * x)),w). [hyper(228,a,13798,a,b,14380,a(flip)),flip(a)]. given #12974 (H,wt=23): 14413 (x * (K(y,K(z,u)) * w)) \ v5 = ((x * w) \ v5) * K(y,K(z,u)). [para(14368(a,1),14403(a,1,1))]. given #12975 (H,wt=24): 14422 T(a(x,y,z),z \ (u / w)) != v5 | T(a(x,y,z),z \ (w \ u)) = v5. [para(14357(a,1),13127(a,1))]. given #12976 (H,wt=25): 14312 (K(x,y) * z) * L(K(u,w),v5,v6) = K(x,y) * (z * L(K(u,w),v5,v6)). [para(14271(a,1),452(a,1,2,1))]. given #12977 (H,wt=25): 14314 (L(K(x,y),z,u) * w) * K(v5,v6) = L(K(x,y),z,u) * (w * K(v5,v6)). [para(14271(a,1),13330(a,1,1,1)),flip(a)]. given #12978 (H,wt=25): 14325 K((x * K(y,z)) \ ((x * u) * K(y,z)),w) = K(u * K(x,u),T(w,x)). [hyper(13891,a,14306,a)]. given #12979 (H,wt=23): 14442 K((x * K(y,z)) \ ((x * u) * K(y,z)),w) = K(u,T(T(w,x),x)). [hyper(228,a,7858,a(flip),b,14325,a)]. given #12980 (H,wt=22): 14443 K((x * K(y,z)) \ ((x * u) * K(y,z)),w) != v5 | K(u,w) = v5. [para(14442(a,2),7908(a,1))]. given #12981 (H,wt=25): 14336 K(x,(L(K(y,z),u,w) \ v5) \ v6) = K(x,v5 \ (L(K(y,z),u,w) * v6)). [hyper(228,a,11399,a(flip),b,14313,a(flip))]. given #12982 (H,wt=25): 14337 K(x,y) \ (z * L(K(u,w),v5,v6)) = (K(x,y) \ z) * L(K(u,w),v5,v6). [para(14313(a,1),13348(a,1,1))]. given #12983 (H,wt=25): 14405 K(x,y \ (((1 / 1) * z) \ K(u,w))) = K(x,(y \ K(u,w)) * (1 / z)). [hyper(228,a,6193,a,b,14395,a(flip)),flip(a)]. given #12984 (H,wt=23): 14447 K(x,y \ (((1 / 1) * z) \ K(u,w))) = K(x,(y \ K(u,w)) / z). [hyper(228,a,5532,a(flip),b,14405,a)]. given #12985 (H,wt=23): 14448 K(x,y \ (((1 / 1) * z) \ K(u,w))) = K(x,y \ (K(u,w) / z)). [hyper(228,a,14324,a(flip),b,14447,a)]. given #12986 (H,wt=21): 14449 K(x,y \ ((1 * z) \ K(u,w))) = K(x,y \ (K(u,w) / z)). [para(58(a,1),14448(a,1,2,2,1,1))]. given #12987 (H,wt=19): 14450 K(x,y \ (K(z,u) / w)) = K(x,y \ (w \ K(z,u))). [para(11(a,1),14449(a,1,2,2,1)),flip(a)]. given #12988 (H,wt=19): 14452 K(x,(y \ K(z,u)) / w) = K(x,y \ (w \ K(z,u))). [hyper(228,a,14324,a,b,14450,a(flip)),flip(a)]. given #12989 (H,wt=25): 14418 K(x,L(y,z,u)) * (K(y,x) * w) = (w * K(y,x)) * K(x,L(y,z,u)). [para(7788(a,1),14343(a,1,1)),flip(a)]. given #12990 (H,wt=25): 14434 K(x,y) \ (L(K(y,x),z,u) \ w) = (w * K(L(x,z,u),y)) * K(y,x). [hyper(71,a,14417,a(flip),b,5041,a)]. given #12991 (H,wt=25): 14438 K(x,(y * a(z,u,K(w,v5))) \ v6) = K(x,(y \ a(v5,u,K(w,z))) * v6). [para(14437(a,1),13066(a,1,2,1)),flip(a)]. given #12992 (H,wt=25): 14445 K(x,(L(K(y,z),u,w) \ v5) \ (L(K(y,z),u,w) \ v6)) = K(x,v5 \ v6). [para(14(a,1),14336(a,2,2,2))]. given #12993 (H,wt=25): 14446 K(x,(L(K(y,z),u,w) * v5) \ v6) = K(x,v5 \ (L(K(z,y),u,w) * v6)). [para(6445(a,1),14336(a,1,2,1))]. given #12994 (H,wt=25): 14453 K(x,L(y,z,u)) * (K(y,x) * w) = w * (K(y,x) * K(x,L(y,z,u))). [hyper(228,a,8847,a(flip),b,14418,a)]. given #12995 (H,wt=25): 14454 K(x,(y * L(K(z,u),w,v5)) \ v6) = K(x,y \ (L(K(u,z),w,v5) * v6)). [hyper(14029,a,14446,a)]. given #12996 (H,wt=27): 14338 K(a(x,y,z),u) * T(a(x,y,z) * K(u,a(x,y,z)),w) = T(a(x,y,z),w). [hyper(8485,a,14331,a)]. given #12997 (H,wt=27): 14345 x \ T(y * T(x,K(z,u)),K(z,L(u,w,v5))) = T(y,K(L(u,w,v5),z) * x). [para(14341(a,1),13424(a,1,2,1,2))]. given #12998 (H,wt=24): 14459 T(x,K(L(y,z,u),w) * v5) = v5 \ T(x * T(v5,K(w,y)),K(w,y)). [para(14341(a,1),14345(a,1,2)),flip(a)]. given #12999 (H,wt=18): 14460 T(x,K(L(y,z,u),w) * v5) = T(x,K(y,w) * v5). [hyper(228,a,13424,a(flip),b,14459,a)]. given #13000 (H,wt=18): 14462 T(x,y * K(L(z,u,w),v5)) = T(x,K(z,v5) * y). [hyper(13638,a,14460,a)]. given #13001 (H,wt=18): 14463 T(x,K(y,L(z,u,w)) \ v5) = T(x,K(z,y) * v5). [para(5035(a,2),14460(a,1,2))]. given #13002 (H,wt=18): 14464 T(x,y * L(K(z,u),w,v5)) = T(x,K(z,u) * y). [para(6339(a,1),14462(a,1,2,2))]. given #13003 (H,wt=18): 14465 T(x,y * K(z,L(u,w,v5))) = T(x,K(z,u) * y). [para(10471(a,1),14462(a,1,2,2))]. given #13004 (H,wt=18): 14466 T(x,L(K(y,z),u,w) \ v5) = T(x,K(z,y) * v5). [para(6313(a,1),14463(a,1,2,1))]. given #13005 (H,wt=18): 14470 T(x,L(K(y,z),u,w) \ v5) = T(x,K(y,z) \ v5). [para(5035(a,2),14466(a,2,2))]. given #13006 (H,wt=20): 14468 K(x,y * K(z,L(u,w,v5))) = T(x,K(z,u) * y) / x. [hyper(72,a,14465,a(flip),b,4712,a(flip)),flip(a)]. given #13007 (H,wt=18): 14472 K(x,y * K(z,L(u,w,v5))) = K(x,K(z,u) * y). [hyper(228,a,4696,a,b,14468,a)]. given #13008 (H,wt=18): 14473 K(x,K(y,L(z,u,w)) * v5) = K(x,K(y,z) * v5). [hyper(13673,a,14472,a)]. given #13009 (H,wt=20): 14469 T(x,y \ T(z,L(u,w,v5))) = T(x,K(z,u) * (y \ z)). [para(6265(a,1),14465(a,1,2))]. given #13010 (H,wt=18): 14474 T(x,y \ T(z,L(u,w,v5))) = T(x,y \ T(z,u)). [hyper(228,a,13724,a(flip),b,14469,a)]. given #13011 (H,wt=20): 14471 K(x,L(K(y,z),u,w) \ v5) = x \ T(x,K(y,z) \ v5). [hyper(71,a,14470,a(flip),b,4705,a(flip)),flip(a)]. given #13012 (H,wt=18): 14476 K(x,L(K(y,z),u,w) \ v5) = K(x,K(y,z) \ v5). [hyper(228,a,4649,a,b,14471,a)]. given #13013 (H,wt=21): 14475 T(x,R(T(y,z),u,w) \ T(y,z)) = T(x,R(y,u,w) \ y). [hyper(228,a,13837,a(flip),b,14474,a(flip))]. given #13014 (H,wt=21): 14477 K(x,L(K(y,z),u,w) \ v5) != v6 | K(x,K(y,z) \ v5) = v6. [para(14471(a,2),4773(a,1))]. given #13015 (H,wt=21): 14479 K(x,K(L(y,z,u),w) \ v5) != v6 | K(x,K(w,y) \ v5) = v6. [para(13440(a,1),14477(a,1))]. given #13016 (H,wt=27): 14350 a(x,y,K(y \ (z \ 1),u)) != w | K(x,(z / u) / ((z * y) / (u * y))) = w. [para(14348(a,1),13420(a,1))]. given #13017 (H,wt=28): 14401 a(x,y,1 / (x * y)) \ K(x * y,y \ (x \ 1)) = x * (y * (1 / (x * y))). [hyper(2008,a,14400,a),flip(a)]. given #13018 (H,wt=28): 14467 T(x,(y / K(z,u)) * L(K(z,u),w,v5)) = T(x,y * K(K(z,u),K(z,u) \ y)). [para(4915(a,2),14464(a,2,2))]. given #13019 (H,wt=28): 14481 (a(x,y,1 / (x * y)) \ (x * y)) * (1 / (x * y)) = x * (y * (1 / (x * y))). [hyper(228,a,4365,a(flip),b,14401,a(flip)),flip(a)]. given #13020 (H,wt=28): 14482 T(x,(y * K(z,u)) * L(K(u,z),w,v5)) = T(x,y * K(K(u,z),K(u,z) \ y)). [para(5063(a,1),14467(a,1,2,1))]. given #13021 (H,wt=28): 14483 T(x,y * K(K(z,u),K(z,u) \ y)) = T(x,y * (K(u,z) * L(K(z,u),w,v5))). [para(8935(a,1),14482(a,1,2)),flip(a)]. given #13022 (H,wt=28): 14484 T(x,y * K(K(z,u),K(u,z) * y)) = T(x,y * (K(u,z) * L(K(z,u),w,v5))). [para(5035(a,1),14483(a,1,2,2,2))]. given #13023 (H,wt=28): 14485 T(x,y * K(z,K(u,K(u,z) * y))) = T(x,y * (K(u,z) * L(K(z,u),w,v5))). [para(7693(a,1),14484(a,1,2,2))]. given #13024 (H,wt=18): 14486 T(x,y * (K(z,u) * L(K(u,z),w,v5))) = T(x,y). [hyper(228,a,13847,a(flip),b,14485,a(flip))]. given #13025 (H,wt=14): 14488 T(x,y * a(z,u,K(w,v5))) = T(x,y). [para(9675(a,1),14486(a,1,2,2))]. given #13026 (H,wt=18): 14491 T(x,T(y,a(z,u,K(w,v5)) * v6)) = T(x,T(y,v6)). [para(14488(a,1),13683(a,1,2)),flip(a)]. given #13027 (H,wt=29): 14457 (x * K(y,z \ (L(K(u,w),v5,v6) * v7))) \ x = K((z * L(K(w,u),v5,v6)) \ v7,y). [para(14454(a,1),5037(a,1,1,2))]. given #13028 (H,wt=25): 14493 K((x * L(K(y,z),u,w)) \ v5,v6) = K(x \ (L(K(z,y),u,w) * v5),v6). [hyper(5085,a,14457,a),flip(a)]. given #13029 (H,wt=29): 14492 T(x,y) \ T(T(x,z),T(y,a(u,w,K(v5,v6)) * z)) = K(x,z * a(u,w,K(v5,v6))). [para(14488(a,1),13742(a,1,2,1))]. given #13030 (H,wt=22): 14495 K(x,y * a(z,u,K(w,v5))) = T(x,v6) \ T(T(x,y),T(v6,y)). [para(14491(a,1),14492(a,1,2)),flip(a)]. given #13031 (H,wt=14): 14496 K(x,y * a(z,u,K(w,v5))) = K(x,y). [hyper(228,a,7933,a(flip),b,14495,a)]. given #13032 (H,wt=18): 14498 K(x * a(y,z,K(u,w)),v5) = (v6 * K(v5,x)) \ v6. [para(14496(a,1),5037(a,1,1,2)),flip(a)]. given #13033 (H,wt=14): 14499 K(x * a(y,z,K(u,w)),v5) = K(x,v5). [hyper(228,a,5037,a(flip),b,14498,a)]. given #13034 (H,wt=14): 14501 K(a(x,y,K(z,u)) * w,v5) = K(w,v5). [para(14300(a,2),14499(a,1,1))]. given #13035 (H,wt=25): 14500 (x * y) / T(x * a(z,u,K(w,x)),y) = K(x,a(z,u,w) * x) * y. [para(14499(a,1),12985(a,2,1))]. given #13036 (H,wt=25): 14502 (x * y) / T(x * a(z,u,K(w,x)),y) = K(x,x * a(z,u,w)) * y. [para(5433(a,1),14500(a,2,1))]. given #13037 (H,wt=23): 14504 (x * y) / T(x * a(z,u,K(w,x)),y) = a(x,u,K(w,z)) * y. [para(12989(a,1),14502(a,2,1))]. given #13038 (H,wt=30): 14351 a(x,y,K(z,u)) * (w * K(w * a(x,y,K(z,u)),v5)) = T(w * a(x,y,K(z,u)),v5). [para(14299(a,1),6261(a,1,1))]. given #13039 (H,wt=23): 14505 a(x,y,K(z,u)) * (w * K(w,v5)) = T(w * a(x,y,K(z,u)),v5). [para(14499(a,1),14351(a,1,2,2))]. given #13040 (H,wt=21): 14506 T(x * a(y,z,K(u,w)),v5) = a(y,z,K(u,w)) * T(x,v5). [para(4705(a,2),14505(a,1,2)),flip(a)]. given #13041 (H,wt=30): 14489 (x * a(y,z,K(u,w))) * K(v5,T(v6,x)) != v7 | K(v5,v6) * (x * a(y,z,K(u,w))) = v7. [para(14488(a,1),7176(a,1,2,2))]. given #13042 (H,wt=31): 14382 ((x * K(y,z)) * K(u,(x * K(y,z)) \ w)) / K(y,z) = K(u,w / (x * K(y,z))) * x. [hyper(72,a,7284,a(flip),b,14310,a)]. given #13043 (H,wt=31): 14456 x * (K(y,T(z,x)) * K(T(z,x),L(y,u,w))) = K(T(z,x),L(y,u,w)) * (x * K(y,z)). [para(7823(a,1),14453(a,1,2)),flip(a)]. given #13044 (H,wt=31): 14490 K((T(x,y) \ (y * a(z,u,K(w,v5)))) \ 1,v6) = K(((y * a(z,u,K(w,v5))) / x) \ 1,v6). [para(14488(a,1),12602(a,1,1,1,1))]. given #13045 (H,wt=31): 14509 x * (K(y,T(z,x)) * K(T(z,x),L(y,u,w))) = K(z,T(L(y,u,w),x)) * (x * K(y,z)). [hyper(8311,a,14456,a(flip)),flip(a)]. given #13046 (H,wt=31): 14510 x * (K(y,T(z,x)) * K(T(z,x),L(y,u,w))) = K(z,L(T(y,x),u,w)) * (x * K(y,z)). [para(40(a,2),14509(a,2,1,2))]. given #13047 (H,wt=32): 14289 (x * (K(y,K(z,u)) * w)) \ (x * (K(y,K(z,u)) * (w * v5))) = L(v5,K(y,K(z,u)) * w,x). [para(14276(a,1),447(a,2,1))]. given #13048 (H,wt=32): 14458 K(a(x,y,z),u) * T(a(x,y,z) * K(u,a(x,y,z)),w) = a(x,y,K(z,w)) * a(x,y,z). [hyper(228,a,12974,a,b,14338,a)]. given #13049 (H,wt=15): 14512 a(x,y,K(z,T(u,w))) = a(x,y,K(z,u)). [hyper(13137,a,14458,a)]. given #13050 (H,wt=15): 14513 a(x,y,K(z,T(u,w))) = a(z,y,K(u,x)). [hyper(228,a,12990,a,b,14512,a)]. given #13051 (H,wt=15): 14514 a(T(x,y),z,K(u,w)) = a(x,z,K(u,w)). [hyper(228,a,13053,a,b,14512,a(flip)),flip(a)]. given #13052 (H,wt=17): 14516 a(x,y,K(z,u / w)) = a(x,y,K(z,w \ u)). [para(115(a,1),14512(a,1,3,2)),flip(a)]. given #13053 (H,wt=17): 14520 a(x,y,K(z * u,w)) = a(w,y,K(x,u * z)). [para(12365(a,1),14513(a,1,3)),flip(a)]. given #13054 (H,wt=17): 14527 a(x / y,z,K(u,w)) = a(y \ x,z,K(u,w)). [para(115(a,1),14514(a,1,1)),flip(a)]. given #13055 (H,wt=17): 14528 a((x \ y) \ y,z,K(u,w)) = a(x,z,K(u,w)). [para(114(a,1),14514(a,1,1))]. given #13056 (H,wt=18): 14521 a(x,y,K(z,T(u,w))) != v5 | a(x,y,K(z,u)) = v5. [para(14513(a,2),13039(a,1))]. given #13057 (H,wt=18): 14535 a(T(x,y),z,K(u,w)) != v5 | a(x,z,K(u,w)) = v5. [para(13053(a,2),14521(a,1))]. given #13058 (H,wt=19): 14532 a(x,y,K(z \ (u \ 1),w)) = a(x,y,K(w,z * u)). [hyper(228,a,13004,a,b,14520,a(flip)),flip(a)]. given #13059 (H,wt=19): 14539 a(x,y,K(z,u \ (w \ 1))) = a(z,y,K(x,u * w)). [hyper(13039,a,14532,a)]. given #13060 (H,wt=20): 14534 a(x,y,K(z / u,w)) != v5 | a(x,y,K(u \ z,w)) = v5. [para(7831(a,1),14521(a,1,3))]. given #13061 (H,wt=20): 14536 a(x,y,K(z,T(u,w))) != v5 | a(T(x,v6),y,K(z,u)) = v5. [para(14514(a,1),14521(a,1))]. given #13062 (H,wt=20): 14537 a(x \ y,z,K(u,w)) != v5 | a(y / x,z,K(u,w)) = v5. [para(115(a,1),14535(a,1,1))]. given #13063 (H,wt=20): 14538 a((x \ y) \ y,z,K(u,w)) != v5 | a(x,z,K(u,w)) = v5. [para(114(a,1),14535(a,1,1))]. given #13064 (H,wt=21): 14526 a(T(x,y),y \ 1,K(z,u)) = a(x,y \ (x \ 1),K(z,u)). [hyper(228,a,13085,a(flip),b,14514,a(flip)),flip(a)]. given #13065 (H,wt=19): 14541 a(x,y \ (x \ 1),K(z,u)) = a(x,y \ 1,K(z,u)). [hyper(14535,a,14526,a),flip(a)]. given #13066 (H,wt=21): 14529 a((x \ 1) \ (y \ 1),z,K(u,w)) = a(y \ x,z,K(u,w)). [para(253(a,1),14514(a,1,1))]. given #13067 (H,wt=19): 14544 a(x * (y \ 1),z,K(u,w)) = a(y \ x,z,K(u,w)). [hyper(228,a,13108,a(flip),b,14529,a(flip)),flip(a)]. given #13068 (H,wt=19): 14547 a((1 / x) \ y,z,K(u,w)) = a(y * x,z,K(u,w)). [para(64(a,1),14544(a,1,1,2)),flip(a)]. given #13069 (H,wt=19): 14548 a(x \ (y \ x),z,K(u,w)) = a(y \ 1,z,K(u,w)). [para(119(a,1),14544(a,1,1)),flip(a)]. given #13070 (H,wt=19): 14550 a(x / (1 / y),z,K(u,w)) = a(x * y,z,K(u,w)). [hyper(14537,a,14547,a)]. given #13071 (H,wt=21): 14530 a(x,y,K(z,u \ (x \ w))) = a(x,y,K(z,x \ (w / u))). [hyper(13095,a,14516,a),flip(a)]. given #13072 (H,wt=21): 14531 a(x,y,K(z,(u * x) \ w)) = a(x,y,K(z,x \ (w / u))). [hyper(13094,a,14516,a),flip(a)]. given #13073 (H,wt=21): 14551 a(x,y,K(z,x \ (u / w))) = a(x,y,K(z,x \ (w \ u))). [hyper(13093,a,14531,a),flip(a)]. given #13074 (H,wt=21): 14552 a(x,y,K(z,u \ (x \ w))) = a(x,y,K(z,x \ (u \ w))). [hyper(228,a,14530,a,b,14551,a(flip)),flip(a)]. given #13075 (H,wt=21): 14554 a(x \ (y \ z),u,K(x,w)) = a(x,u,K(w,y \ (x \ z))). [hyper(228,a,12990,a(flip),b,14552,a),flip(a)]. given #13076 (H,wt=21): 14555 a(x,y,K(z,x \ (u \ (x * w)))) = a(x,y,K(z,u \ w)). [para(13(a,1),14552(a,1,3,2,2)),flip(a)]. given #13077 (H,wt=23): 14546 a(x \ (T(y,x) \ 1),z,K(u,w)) = a(x \ (y \ 1),z,K(u,w)). [hyper(228,a,13106,a(flip),b,14544,a(flip))]. given #13078 (H,wt=21): 14559 a(x \ (y \ 1),z,K(u,w)) = a(u,z,K(w,y \ (x \ 1))). [hyper(228,a,13449,a(flip),b,14546,a(flip))]. given #13079 (H,wt=24): 14515 K((x / y) / ((x * z) / (y * z)),u) = a(y,z,K(z \ (x \ 1),u)). [hyper(228,a,13840,a(flip),b,14512,a(flip)),flip(a)]. given #13080 (H,wt=24): 14557 a(x,y,K(z,x \ (u \ w))) != v5 | a(u \ (x \ w),y,K(x,z)) = v5. [para(14552(a,1),13039(a,1))]. given #13081 (H,wt=25): 14545 a((x * (y \ 1)) \ (z \ 1),u,K(w,v5)) = a(z \ (y / x),u,K(w,v5)). [para(120(a,1),14529(a,1,1,1))]. given #13082 (H,wt=25): 14558 x / (a(y,z,u * (K(w,u) / u)) * x) = a(u,z,K(y,w \ (u \ 1))). [hyper(228,a,13058,a,b,14554,a(flip)),flip(a)]. given #13083 (H,wt=21): 14561 a(x,y,K(z,u \ (x \ 1))) = w / (a(z,y,K(u,x)) * w). [para(13124(a,1),14558(a,1,2)),flip(a)]. given #13084 (H,wt=17): 14562 a(x,y,K(z,u \ (x \ 1))) = a(x,y,K(u,z)). [hyper(228,a,13006,a(flip),b,14561,a)]. given #13085 (H,wt=19): 14563 a(x,y,K(z,x \ (u \ w))) = a(x,y,K(w \ u,z)). [hyper(13104,a,14562,a)]. given #13086 (H,wt=19): 14564 a(x \ (y \ z),u,K(y,w)) = a(y,u,K(z \ x,w)). [hyper(14557,a,14563,a)]. given #13087 (H,wt=17): 14567 a(x \ 1,y,K(z,u)) = a(z,y,K(z \ x,u)). [para(52(a,1),14564(a,1,1,2))]. given #13088 (H,wt=19): 14565 a(x,y,K(z,(u * x) \ w)) = a(x,y,K(w \ u,z)). [hyper(228,a,13092,a,b,14563,a(flip)),flip(a)]. given #13089 (H,wt=19): 14566 a(x,y,K((x * z) \ u,w)) = a(x,y,K(w,u \ z)). [hyper(228,a,14555,a(flip),b,14563,a(flip))]. given #13090 (H,wt=19): 14568 a(x,y,K(z,u \ (z \ w))) = a(z,y,K(x,w \ u)). [hyper(228,a,13015,a(flip),b,14566,a(flip)),flip(a)]. given #13091 (H,wt=19): 14570 a(x,y,K(z,z \ (u \ w))) = a(z,y,K(x,w \ u)). [para(10602(a,1),14568(a,1,3))]. given #13092 (H,wt=23): 14569 a(x,y,K(z,K(u,w) * (z \ v5))) = a(z,y,K(x,v5 \ K(w,u))). [para(5035(a,1),14568(a,1,3,2))]. given #13093 (H,wt=23): 14571 a(x,y,K(z \ 1,(u \ w) * z)) = a(z \ 1,y,K(x,w \ u)). [para(5537(a,1),14570(a,1,3))]. given #13094 (H,wt=26): 14553 a(x,y,K(z,x \ (u \ w))) * a(x,y,z) = T(a(x,y,z),x \ (w / u)). [para(14551(a,1),12974(a,1,1))]. given #13095 (H,wt=24): 14573 T(a(x,y,z),x \ (u / w)) != v5 | T(a(x,y,z),x \ (w \ u)) = v5. [para(14553(a,1),12976(a,1))]. given #13096 (H,wt=26): 14556 a(x,y,K(z,x \ (u \ w))) * a(x,y,z) = T(a(x,y,z),u \ (x \ w)). [para(14552(a,1),12974(a,1,1))]. given #13097 (H,wt=24): 14574 T(a(x,y,z),u \ (x \ w)) != v5 | T(a(x,y,z),x \ (u \ w)) = v5. [para(14556(a,1),12976(a,1))]. given #13098 (H,wt=24): 14575 a(x,y,K(z \ u,w)) * a(x,y,w) = T(a(x,y,w),u \ (x \ z)). [para(14563(a,1),14556(a,1,1))]. given #13099 (H,wt=23): 14576 T(a(x,y,z),u \ (x \ w)) = T(a(x,y,z),z \ ((w \ u) \ 1)). [hyper(228,a,13126,a(flip),b,14575,a(flip))]. given #13100 (H,wt=23): 14577 T(a(x,y,z),u \ (x \ w)) = T(a(x,y,z),z \ ((u \ 1) * w)). [hyper(228,a,9619,a(flip),b,14576,a)]. given #13101 (H,wt=27): 14549 T(a(x,y,z),a(x,y,z) \ (u / w)) = a(x,y,z) * a(u \ w,y,K(z,x)). [para(14544(a,1),13306(a,1,2)),flip(a)]. given #13102 (H,wt=26): 14578 T(a(x,y,z),a(x,y,z) \ (u / w)) = T(a(x,y,z),z \ ((u \ w) \ 1)). [hyper(228,a,13102,a(flip),b,14549,a)]. given #13103 (H,wt=26): 14579 T(a(x,y,z),a(x,y,z) \ (u / w)) = T(a(x,y,z),z \ ((w \ 1) * u)). [hyper(228,a,9619,a(flip),b,14578,a)]. given #13104 (H,wt=23): 14580 T(a(x,y,z),z \ ((u \ 1) * w)) = T(a(x,y,z),z \ (w / u)). [hyper(228,a,13307,a(flip),b,14579,a(flip))]. given #13105 (H,wt=23): 14581 T(a(x,y,z),z \ ((u \ 1) * w)) = T(a(x,y,z),z \ (u \ w)). [hyper(228,a,14421,a(flip),b,14580,a)]. given #13106 (H,wt=21): 14582 T(a(x,y,z),u \ (x \ w)) = T(a(x,y,z),z \ (u \ w)). [hyper(228,a,14577,a,b,14581,a(flip)),flip(a)]. given #13107 (H,wt=31): 14525 a(x / (1 / y),(1 / T(x * y,z)) * x,K(u,w)) = a(T(x / (1 / y),z),x,K(u,w)). [hyper(228,a,13086,a(flip),b,14514,a(flip))]. given #13108 (H,wt=29): 14584 a(x * y,(1 / T(x * y,z)) * x,K(u,w)) = a(T(x / (1 / y),z),x,K(u,w)). [hyper(228,a,14550,a(flip),b,14525,a(flip)),flip(a)]. given #13109 (H,wt=27): 14585 a(x * y,(1 / T(x * y,z)) * x,K(u,w)) = a(x / (1 / y),x,K(u,w)). [hyper(228,a,14514,a(flip),b,14584,a)]. given #13110 (H,wt=25): 14587 a(x * y,(1 / T(x * y,z)) * x,K(u,w)) = a(x * y,x,K(u,w)). [hyper(228,a,14550,a(flip),b,14585,a)]. given #13111 (H,wt=32): 14511 (K(x,K(y,z)) \ (u * w)) \ (u * (K(x,K(y,z)) * (w * v5))) = L(v5,K(x,K(y,z)) * w,u). [para(14386(a,2),14289(a,1,1))]. given #13112 (H,wt=32): 14588 (K(x,K(y,z)) \ (u * w)) \ (K(x,K(y,z)) \ (u * (w * v5))) = L(v5,K(x,K(y,z)) * w,u). [para(14386(a,2),14511(a,1,2))]. given #13113 (H,wt=24): 14589 L(L(x,y,z),z * y,K(K(u,w),v5)) = L(x,K(v5,K(u,w)) * y,z). [hyper(228,a,6368,a(flip),b,14588,a(flip)),flip(a)]. given #13114 (H,wt=24): 14590 L(L(x,y,z),z * y,K(u,K(w,v5))) = L(x,K(v5,K(u,w)) * y,z). [para(7693(a,1),14589(a,1,3))]. given #13115 (H,wt=15): 14591 L(x,K(y,K(z,u)) * w,v5) = L(x,w,v5). [hyper(228,a,14276,a(flip),b,14590,a(flip))]. given #13116 (H,wt=33): 14494 K(((x \ y) * x) / T(L(K(z,u),w,v5) * x,K(v6,v7)),v8) = K(x \ (L(K(u,z),w,v5) * y),v8). [hyper(228,a,13835,a,b,14493,a(flip)),flip(a)]. given #13117 (H,wt=29): 14594 K(((x \ y) * x) / (L(K(z,u),w,v5) * x),v6) = K(x \ (L(K(u,z),w,v5) * y),v6). [hyper(228,a,13818,a(flip),b,14494,a(flip)),flip(a)]. given #13118 (H,wt=34): 14367 (x * (K(y,K(z,u)) * (w * v5))) \ ((x * w) * (v5 * K(y,K(z,u)))) = a(x,w,v5 * K(y,K(z,u))). [para(14257(a,2),24(a,2,1,2)),flip(a)]. given #13119 (H,wt=34): 14389 (x * (y * (z * K(u,K(w,v5))))) \ ((x * (K(u,K(w,v5)) * y)) * z) = a(x,K(u,K(w,v5)) * y,z). [para(14370(a,1),24(a,2,1,2)),flip(a)]. given #13120 (H,wt=34): 14595 ((x * (K(y,K(z,u)) * (w * v5))) \ ((x * w) * v5)) * K(y,K(z,u)) = a(x,w,v5 * K(y,K(z,u))). [hyper(228,a,14375,a(flip),b,14367,a(flip)),flip(a)]. given #13121 (H,wt=34): 14596 (x * (y * (z * K(u,K(w,v5))))) \ ((x * y) * (z * K(u,K(w,v5)))) = a(x,K(u,K(w,v5)) * y,z). [para(14391(a,1),14389(a,1,2))]. given #13122 (H,wt=21): 14598 a(x,K(y,K(z,u)) * w,v5) = a(x,w,v5 * K(y,K(z,u))). [hyper(663,a,14596,a),flip(a)]. given #13123 (H,wt=34): 14597 (((x * (y * z)) \ ((x * y) * z)) * K(u,K(w,v5))) * K(u,K(w,v5)) = a(x,y,z * K(u,K(w,v5))). [para(14413(a,1),14595(a,1,1))]. given #13124 (H,wt=27): 14599 (a(x,y,z) * K(u,K(w,v5))) * K(u,K(w,v5)) = a(x,y,z * K(u,K(w,v5))). [para(24(a,2),14597(a,1,1,1))]. given #13125 (H,wt=27): 14600 a(x,y,z) * (K(u,K(w,v5)) * K(u,K(w,v5))) = a(x,y,z * K(u,K(w,v5))). [hyper(14254,a,14599,a)]. given #13126 (H,wt=17): 14601 a(x,y,z * K(u,K(w,v5))) = a(x,y,z) * 1. [para(7761(a,1),14600(a,1,2)),flip(a)]. given #13127 (H,wt=15): 14602 a(x,y,z * K(u,K(w,v5))) = a(x,y,z). [hyper(228,a,12,a(flip),b,14601,a)]. given #13128 (H,wt=15): 14605 a(x,K(y,K(z,u)) * w,v5) = a(x,w,v5). [hyper(228,a,14598,a,b,14602,a(flip)),flip(a)]. given #13129 (H,wt=17): 14607 a(x,K(y,z) * u,w) = a(x,u * K(y,z),w). [para(4671(a,1),14605(a,1,2)),flip(a)]. given #13130 (H,wt=18): 14603 a(x,y,z * K(u,K(w,v5))) != v6 | a(x,y,z) = v6. [para(14601(a,2),81(a,1)),flip(b)]. given #13131 (H,wt=24): 14608 a(x,y * K(z,u),K(w,v5)) != v6 | a(v5,K(z,u) * y,K(x,w)) = v6. [para(14607(a,1),13039(a,1))]. given #13132 (H,wt=24): 14609 a(x,y,z * K(u,K(w,v5))) != v6 | a(x,K(v7,K(v8,v9)) * y,z) = v6. [para(14605(a,1),14603(a,1))]. given #13133 (H,wt=35): 14371 (x * (K(y,K(z,u)) * w)) \ (x * (K(y,K(z,u)) * (w * v5))) != v6 | L(v5,K(y,K(z,u)) * w,x) = v6. [para(14263(a,1),456(a,1,2,2))]. given #13134 (H,wt=35): 14399 K(x \ ((K(y,z) * L(K(y,u) \ 1,w,v5)) * v6),v7) = K((x * K(z,y)) \ (L(K(u,y),w,v5) * v6),v7). [para(10058(a,2),14380(a,2,1,2)),flip(a)]. given #13135 (H,wt=35): 14410 (x * (K(y,K(z,u)) * w)) \ ((x * K(y,K(z,u))) * (w * v5)) != v6 | L(v5,w,x * K(y,K(z,u))) = v6. [para(14402(a,1),456(a,1,1))]. given #13136 (H,wt=35): 14420 L(K(x,y),z * a(x,u,K(w,y)),v5) \ ((L(K(x,y),u,w) * z) * v5) = (z * a(x,u,K(w,y))) * v5. [para(14355(a,1),13329(a,1,2,1))]. given #13137 (H,wt=29): 14611 K(x,y) \ ((L(K(x,y),z,u) * w) * K(v5,v6)) = (w * a(x,z,K(u,y))) * K(v5,v6). [para(14271(a,1),14420(a,1,1))]. given #13138 (H,wt=29): 14612 K(x,y) \ (L(K(x,y),z,u) * (w * K(v5,v6))) = (w * a(x,z,K(u,y))) * K(v5,v6). [para(14314(a,1),14611(a,1,2))]. given #13139 (H,wt=29): 14613 K(x,y) * (L(K(y,x),z,u) * (w * K(v5,v6))) = (w * a(y,z,K(u,x))) * K(v5,v6). [hyper(5072,a,14612,a)]. given #13140 (H,wt=25): 14614 T(x * a(y,z,K(u,w)),K(y,w)) = L(K(y,w),z,u) * (x * K(w,y)). [hyper(8016,a,14613,a)]. given #13141 (H,wt=35): 14432 (a(x,y,z \ 1) \ 1) \ ((z / (x * y)) / ((z / y) / x)) = K(x \ (z / y),a(x,y,z \ 1) \ 1). [hyper(228,a,13207,a,b,14416,a(flip)),flip(a)]. given #13142 (H,wt=35): 14572 a(x,y,K(z \ 1,(u * T(T(w,w \ 1),v5)) * z)) = a(z \ 1,y,K(x,K(w,v5) \ (w \ (1 / u)))). [para(11573(a,1),14571(a,1,3,2,1))]. given #13143 (H,wt=31): 14615 a(x \ 1,y,K(z,K(u,w) \ (u \ (1 / v5)))) = a(z,y,K(x \ 1,(v5 * T(u,w)) * x)). [para(11575(a,1),14572(a,1,3)),flip(a)]. given #13144 (H,wt=31): 14616 a(x \ 1,y,K(z,K(u,w) \ (u \ (1 / v5)))) = a(z,y,K(x \ 1,v5 * (T(u,w) * x))). [para(13833(a,1),14615(a,2,3))]. given #13145 (H,wt=37): 14455 K(x,((K(y,z) \ u) * L((K(y,z) \ u) \ u,w,v5)) \ v6) = K(x,(K(y,z) \ u) \ (L(K(z,y),w,v5) * v6)). [para(591(a,2),14446(a,1,2,1))]. given #13146 (H,wt=37): 14617 K(x,((K(y,z) * u) * L((K(z,y) \ u) \ u,w,v5)) \ v6) = K(x,(K(z,y) \ u) \ (L(K(y,z),w,v5) * v6)). [para(5035(a,1),14455(a,1,2,1,1))]. given #13147 (H,wt=35): 14618 K(x,((K(y,z) * u) * L(K(z,T(y,u)),w,v5)) \ v6) = K(x,(K(z,y) \ u) \ (L(K(y,z),w,v5) * v6)). [para(7161(a,1),14617(a,1,2,1,2,1))]. given #13148 (H,wt=35): 14619 K(x,(K(y,z) * (u * L(K(z,T(y,u)),w,v5))) \ v6) = K(x,(K(z,y) \ u) \ (L(K(y,z),w,v5) * v6)). [para(14312(a,1),14618(a,1,2,1))]. given #13149 (H,wt=33): 14620 K(x,(K(y,z) * (L(K(z,y),u,w) * v5)) \ v6) = K(x,(K(z,y) \ v5) \ (L(K(y,z),u,w) * v6)). [para(7177(a,1),14619(a,1,2,1,2))]. given #13150 (H,wt=29): 14621 K(x,(K(y,z) \ u) \ (L(K(z,y),w,v5) * v6)) = K(x,(a(y,w,K(v5,z)) * u) \ v6). [para(13021(a,1),14620(a,1,2,1)),flip(a)]. given #13151 (H,wt=38): 14508 x \ (y * T((a(z,u,K(w,v5)) * (y \ x)) * a(v5,u,K(w,z)),v6)) = K((x \ (y * a(v5,u,K(w,z)))) \ 1,v6). [para(14506(a,2),13067(a,1,2,2))]. given #13152 (H,wt=24): 14622 K((x \ (y * a(z,u,K(w,v5)))) \ 1,v6) = x \ (y * T(y \ x,v6)). [para(14356(a,1),14508(a,1,2,2,1)),flip(a)]. given #13153 (H,wt=22): 14623 K((x \ (y * a(z,u,K(w,v5)))) \ 1,v6) = K((x \ y) \ 1,v6). [hyper(228,a,4952,a(flip),b,14622,a)]. given #13154 (H,wt=24): 14625 K((T(x,y) \ y) \ 1,z) = K(((y * a(u,w,K(v5,v6))) / x) \ 1,z). [hyper(228,a,14490,a(flip),b,14623,a(flip))]. given #13155 (H,wt=22): 14627 K(((x * a(y,z,K(u,w))) / v5) \ 1,v6) = K((x / v5) \ 1,v6). [hyper(228,a,12602,a(flip),b,14625,a(flip))]. given #13156 (H,wt=20): 14628 K(x / (y * a(z,u,K(w,v5))),v6) = K((y / x) \ 1,v6). [hyper(6063,a,14627,a)]. given #13157 (H,wt=18): 14629 K(x / (y * a(z,u,K(w,v5))),v6) = K(x / y,v6). [hyper(228,a,5619,a(flip),b,14628,a)]. given #13158 (H,wt=22): 14630 K(x / (L(K(y,z),u,w) * v5),v6) = K(x / (K(y,z) * v5),v6). [para(14419(a,1),14629(a,1,1,2))]. given #13159 (H,wt=26): 14631 K(x \ (L(K(y,z),u,w) * v5),v6) = K(((x \ v5) * x) / (K(z,y) * x),v6). [hyper(228,a,14594,a(flip),b,14630,a(flip)),flip(a)]. given #13160 (H,wt=26): 14633 K(x \ (L(K(y,z),u,w) * v5),v6) = K(x \ (K(y,z) * (x * (x \ v5))),v6). [hyper(228,a,14398,a(flip),b,14631,a)]. given #13161 (H,wt=22): 14634 K(x \ (L(K(y,z),u,w) * v5),v6) = K(x \ (K(y,z) * v5),v6). [para(14(a,1),14633(a,2,1,2,2))]. given #13162 (H,wt=32): 14635 K(x \ ((K(y,z) * L(K(y,u) \ 1,w,v5)) * v6),v7) = K((x * K(z,y)) \ (K(u,y) * v6),v7). [hyper(228,a,14399,a,b,14634,a(flip)),flip(a)]. given #13163 (H,wt=32): 14638 K(x \ ((K(y,z) * L(K(y,u) \ 1,w,v5)) * v6),v7) = K(x \ (K(y,z) * (K(u,y) * v6)),v7). [hyper(228,a,14380,a(flip),b,14635,a)]. given #13164 (H,wt=24): 14639 K(x \ ((K(y,z) * L(K(y,z) \ 1,u,w)) * v5),v6) = K(x \ v5,v6). [para(5042(a,1),14638(a,2,1,2))]. given #13165 (H,wt=22): 14640 K(x \ ((K(y,z) * L(K(z,y),u,w)) * v5),v6) = K(x \ v5,v6). [para(4879(a,1),14639(a,1,1,2,1,2,1))]. given #13166 (H,wt=18): 14641 K(x \ (a(y,z,K(u,w)) * v5),v6) = K(x \ v5,v6). [para(9675(a,1),14640(a,1,1,2,1))]. given #13167 (H,wt=23): 14642 K(x \ ((y * z) * K(u,w)),v5) = K(x \ (y * (z * K(u,w))),v5). [para(13203(a,1),14641(a,1,1,2))]. given #13168 (H,wt=19): 14643 K((x * K(y,z)) \ (x * (u * K(y,z))),w) = K(u,w). [hyper(14443,a,14642,a),flip(a)]. given #13169 (H,wt=16): 14644 K(L(T(x,K(y,z)),K(y,z),u),w) = K(x,w). [para(179(a,1),14643(a,1,1))]. given #13170 (H,wt=16): 14645 K(L(x,K(y,z),u),T(w,K(y,z))) = K(x,w). [hyper(7639,a,14644,a)]. given #13171 (H,wt=12): 14646 K(L(x,K(y,z),u),w) = K(x,w). [hyper(13661,a,14645,a)]. given #13172 (H,wt=12): 14647 L(K(x,y),K(z,u),w) = K(x,y). [hyper(11425,a,14646,a)]. given #13173 (H,wt=15): 14668 L(K(x,y),L(K(z,u),w,v5),v6) = K(x,y). [para(6100(a,1),14647(a,1,2))]. given #13174 (H,wt=19): 14651 K((x * K(y,z)) \ u,w) = K((x \ u) * K(z,y),w). [hyper(228,a,13820,a(flip),b,14646,a(flip)),flip(a)]. given #13175 (H,wt=19): 14652 K(x / (K(y,z) \ u),w) = K((x / u) * K(y,z),w). [hyper(228,a,13362,a(flip),b,14646,a(flip)),flip(a)]. given #13176 (H,wt=19): 14661 K(x,(y * K(z,u)) \ w) = K(x,K(z,u) \ (y \ w)). [hyper(228,a,11398,a(flip),b,14647,a(flip)),flip(a)]. given #13177 (H,wt=19): 14662 K(x,(y \ z) \ K(u,w)) = K(x,z \ (y * K(u,w))). [hyper(228,a,6299,a(flip),b,14647,a(flip))]. given #13178 (H,wt=19): 14664 (x * K(y,z)) * K(u,w) = x * (K(y,z) * K(u,w)). [para(14647(a,1),100(a,1,2))]. given #13179 (H,wt=19): 14675 K(x / (y * K(z,u)),w) = K((x / y) * K(u,z),w). [hyper(14004,a,14652,a)]. given #13180 (H,wt=19): 14677 K(x / (K(y,z) * u),w) = K((x / u) * K(z,y),w). [para(5035(a,1),14652(a,1,1,2))]. given #13181 (H,wt=19): 14678 K(x,K(y,z) \ (u \ w)) = K(x,u \ (K(y,z) \ w)). [hyper(228,a,14376,a(flip),b,14661,a(flip))]. given #13182 (H,wt=19): 14683 (x * K(y,z)) * K(u,w) = x * (K(u,w) * K(y,z)). [para(13652(a,1),14664(a,2,2))]. given #13183 (H,wt=19): 14684 (x * K(y,z)) * K(u,w) = x * (K(w,u) \ K(y,z)). [para(13654(a,2),14664(a,2,2))]. given #13184 (H,wt=19): 14685 K((K(x,y) * z) / u,w) = K((z / u) * K(x,y),w). [hyper(14431,a,14675,a)]. given #13185 (H,wt=19): 14687 K((x / y) * K(z,u),w) = K(x * (y \ K(z,u)),w). [hyper(228,a,5646,a(flip),b,14677,a(flip))]. given #13186 (H,wt=19): 14688 K(x,K(y,z) \ (u \ w)) = K(x,u \ (K(z,y) \ w)). [hyper(13768,a,14678,a)]. given #13187 (H,wt=19): 14693 ((x * K(y,z)) * K(u,w)) / K(y,z) = x * K(u,w). [hyper(72,a,14664,a,b,14683,a)]. given #13188 (H,wt=19): 14701 K((K(x,y) * z) / u,w) = K(z * (u \ K(x,y)),w). [hyper(228,a,14685,a,b,14687,a(flip)),flip(a)]. given #13189 (H,wt=17): 14708 K(x * (y \ K(x,z)),u) = K(T(x,z) / y,u). [para(4712(a,2),14701(a,1,1,1)),flip(a)]. given #13190 (H,wt=19): 14709 K(T(x,y) / z,z / T(x,y)) = K(z \ x,x \ z). [hyper(228,a,13763,a(flip),b,14708,a(flip))]. given #13191 (H,wt=19): 14710 K(x \ T(y,z),T(y,z) \ x) = K(x \ y,y \ x). [hyper(7876,a,14709,a)]. given #13192 (H,wt=21): 14656 K(x,y) * ((K(z,u) * x) * w) = (K(z,u) * T(x,y)) * w. [para(14646(a,1),13841(a,1,1))]. given #13193 (H,wt=21): 14682 x * (K(y,T(z,x)) * K(u,w)) = (K(y,z) * x) * K(u,w). [para(7174(a,1),14664(a,1,1)),flip(a)]. given #13194 (H,wt=21): 14689 K(x,K(y,z) \ (u \ (z * w))) = K(x,u \ (T(z,y) * w)). [para(4987(a,1),14678(a,2,2,2))]. given #13195 (H,wt=21): 14696 1 / (x * (K(y,z) * K(u,w))) = K(z,y) / (x * K(u,w)). [para(14683(a,1),4898(a,1,2))]. given #13196 (H,wt=19): 14716 (K(x,y) / K(z,u)) / w = K(u,z) / (w * K(y,x)). [hyper(228,a,5135,a(flip),b,14696,a(flip)),flip(a)]. given #13197 (H,wt=19): 14717 (K(x,y) * K(z,u)) / w = K(z,u) / (w * K(y,x)). [para(5063(a,1),14716(a,1,1))]. given #13198 (H,wt=19): 14718 (K(x,y) * K(z,u)) / w = K(z,u) * (K(x,y) / w). [hyper(228,a,11067,a(flip),b,14717,a)]. given #13199 (H,wt=19): 14719 (K(x,y) * K(z,u)) / w = K(x,y) / (w * K(u,z)). [para(13652(a,1),14717(a,1,1))]. given #13200 (H,wt=19): 14721 K(x,y) / (z * K(u,w)) = K(w,u) * (K(x,y) / z). [hyper(228,a,14718,a(flip),b,14719,a(flip))]. given #13201 (H,wt=19): 14722 K(x,y) * (K(z,u) / w) = K(z,u) * (K(x,y) / w). [hyper(228,a,11067,a(flip),b,14721,a(flip))]. given #13202 (H,wt=21): 14715 K(x,K(y,z) * (u \ (y * w))) = K(x,u \ (T(y,z) * w)). [para(5035(a,1),14689(a,1,2))]. given #13203 (H,wt=22): 14686 K((x / y) * K(z,u),w) != v5 | K((K(z,u) * x) / y,w) = v5. [para(14675(a,1),14431(a,1))]. given #13204 (H,wt=22): 14702 K(x,y \ (K(z,L(u,w,v5)) \ v6)) = K(x,K(z,u) \ (y \ v6)). [hyper(14479,a,14688,a),flip(a)]. given #13205 (H,wt=22): 14724 K(x,y \ (L(K(z,u),w,v5) \ v6)) = K(x,K(z,u) \ (y \ v6)). [para(6313(a,1),14702(a,1,2,2,1))]. given #13206 (H,wt=22): 14725 K(x,K(y,z) \ ((L(K(y,z),u,w) \ v5) \ v6)) = K(x,v5 \ v6). [hyper(228,a,14445,a(flip),b,14724,a(flip))]. given #13207 (H,wt=22): 14727 K(x,K(y,z) \ ((K(L(y,u,w),z) \ v5) \ v6)) = K(x,v5 \ v6). [para(6341(a,1),14725(a,1,2,2,1,1))]. given #13208 (H,wt=23): 14704 K(x,y / (z * K(u,w))) * z = z * K(x,(z * K(u,w)) \ y). [hyper(228,a,14382,a(flip),b,14693,a(flip)),flip(a)]. given #13209 (H,wt=23): 14730 K(x,y / (z * K(u,w))) * z = z * K(x,(K(w,u) / z) * y). [para(5554(a,1),14704(a,2,2))]. given #13210 (H,wt=23): 14731 K(x,y * (K(z,u) / w)) * w = w * K(x,(K(z,u) / w) * y). [para(5536(a,1),14730(a,1,1))]. given #13211 (H,wt=24): 14714 x * (K(y,T(z,x)) * K(u,w)) != v5 | K(y,z) * (x * K(u,w)) = v5. [para(14682(a,2),14311(a,1))]. given #13212 (H,wt=25): 14671 K(x,(y * L(K(z,u),w,v5)) \ v6) = K(x,L(K(z,u),w,v5) \ (y \ v6)). [hyper(228,a,11398,a(flip),b,14668,a(flip)),flip(a)]. given #13213 (H,wt=22): 14732 K(x,(y * L(K(z,u),w,v5)) \ v6) = K(x,K(z,u) \ (y \ v6)). [hyper(228,a,14476,a(flip),b,14671,a)]. given #13214 (H,wt=25): 14698 (x * a(y,z,K(u,w))) * K(v5,v6) = x * (K(v5,v6) * K(a(y,z,u),w)). [para(12972(a,2),14683(a,1,1,2))]. given #13215 (H,wt=25): 14699 (x * K(y,z)) * a(u,w,K(v5,v6)) = x * (K(a(u,w,v5),v6) * K(y,z)). [para(12972(a,2),14683(a,1,2))]. given #13216 (H,wt=25): 14700 K(x,y) \ (L(K(y,x),z,u) \ w) = w * (K(x,y) \ K(L(x,z,u),y)). [hyper(228,a,14434,a,b,14684,a(flip)),flip(a)]. given #13217 (H,wt=21): 14738 K(x,y) \ (L(K(y,x),z,u) \ w) = w * a(K(x,y),z,u). [para(13786(a,1),14700(a,2,2))]. given #13218 (H,wt=21): 14739 K(x,y) \ (L(K(y,x),z,u) \ w) = a(K(y,x),z,u) \ w. [hyper(228,a,14360,a,b,14738,a)]. given #13219 (H,wt=25): 14711 K(x \ y,y \ x) / (z * x) = ((z * x) \ (y * z)) * (1 / (y * z)). [para(14710(a,1),10357(a,1,1))]. given #13220 (H,wt=23): 14740 ((x * y) \ (z * x)) * (1 / (z * x)) = ((y \ z) * (1 / z)) / x. [hyper(228,a,6873,a(flip),b,14711,a(flip))]. given #13221 (H,wt=22): 14742 L(x,y,z) \ (1 / (z * y)) = (((y * x) \ y) * (1 / y)) / z. [hyper(228,a,12410,a(flip),b,14740,a(flip)),flip(a)]. given #13222 (H,wt=18): 14743 L(x,y,z) \ (1 / (z * y)) = (x \ (1 / y)) / z. [para(4558(a,1),14742(a,2,1))]. given #13223 (H,wt=18): 14745 L(1 / x,y,z) \ (1 / (z * y)) = (x / y) / z. [para(320(a,1),14743(a,2,1))]. given #13224 (H,wt=16): 14746 a(x,y,1 / (x * y)) = ((x * y) / y) / x. [hyper(6779,a,14745,a)]. given #13225 (H,wt=12): 14747 a(x,y,1 / (x * y)) = x / x. [para(15(a,1),14746(a,2,1))]. given #13226 (H,wt=10): 14748 a(x,y,1 / (x * y)) = 1. [hyper(228,a,58,a(flip),b,14747,a)]. given #13227 (H,wt=21): 14750 (1 \ (x * y)) * (1 / (x * y)) = x * (y * (1 / (x * y))). [para(14748(a,1),14481(a,1,1,1))]. given #13228 (H,wt=19): 14751 (x * y) * (1 / (x * y)) = x * (y * (1 / (x * y))). [para(51(a,1),14750(a,1,1))]. given #13229 (H,wt=19): 14753 K(x * y,(x * y) \ 1) = x * (y * (1 / (x * y))). [hyper(1860,a,14751,a)]. given #13230 (H,wt=19): 14754 K(x * y,y \ (x \ 1)) = x * (y * (1 / (x * y))). [hyper(228,a,5934,a(flip),b,14753,a(flip)),flip(a)]. given #13231 (H,wt=22): 14744 L(x,y \ 1,z \ y) \ z = (x \ (1 / (y \ 1))) / (z \ y). [para(255(a,1),14743(a,1,2))]. given #13232 (H,wt=18): 14757 L(x,y \ 1,z \ y) \ z = (x \ y) / (z \ y). [para(61(a,1),14744(a,2,1,2))]. given #13233 (H,wt=23): 14756 x \ K(y * z,z \ (y \ 1)) = (x \ y) * (z * (1 / (y * z))). [para(14754(a,2),10266(a,1,2))]. given #13234 (H,wt=23): 14759 (x \ (y * z)) * (1 / (y * z)) = (x \ y) * (z * (1 / (y * z))). [hyper(228,a,4365,a(flip),b,14756,a(flip)),flip(a)]. given #13235 (H,wt=23): 14762 ((x * y) \ x) * (z * (1 / (x * z))) = y \ (z * (1 / (x * z))). [hyper(228,a,4562,a(flip),b,14759,a(flip))]. given #13236 (H,wt=25): 14733 K(x,(y * L(K(z,u),w,v5)) \ v6) != v7 | K(x,K(z,u) \ (y \ v6)) = v7. [para(14671(a,2),14477(a,1))]. given #13237 (H,wt=25): 14736 (x * a(y,z,K(u,w))) * K(v5,v6) = x * (K(v5,v6) * a(y,z,K(u,w))). [para(12972(a,2),14698(a,2,2,2))]. given #13238 (H,wt=25): 14737 (x * K(y,z)) * a(u,w,K(v5,v6)) = x * (a(u,w,K(v5,v6)) * K(y,z)). [para(12972(a,2),14699(a,2,2,1))]. given #13239 (H,wt=25): 14755 x * (1 / ((y * K(z \ 1,z)) * x)) = K(x * z,z \ (x \ 1)) / y. [para(14754(a,2),6875(a,2,1))]. given #13240 (H,wt=25): 14769 x * (1 / (K(y \ 1,y) * (z * x))) = K(x * y,y \ (x \ 1)) / z. [para(3448(a,1),14755(a,1,2,2))]. given #13241 (H,wt=25): 14770 x * ((1 / (y * x)) * K(z,z \ 1)) = K(x * z,z \ (x \ 1)) / y. [para(5048(a,1),14769(a,1,2))]. given #13242 (H,wt=23): 14771 K(x * y,y \ (x \ 1)) / z = x * (y * (1 / ((z * x) * y))). [para(6841(a,1),14770(a,1,2)),flip(a)]. given #13243 (H,wt=23): 14772 (x * y) * (1 / (z * (x * y))) = x * (y * (1 / ((z * x) * y))). [hyper(228,a,6842,a(flip),b,14771,a(flip)),flip(a)]. given #13244 (H,wt=26): 14706 (x * K(y,z)) * K(u,w) != v5 * v6 | ((x * K(u,w)) * K(y,z)) / v6 = v5. [para(14693(a,1),376(a,1,1))]. given #13245 (H,wt=26): 14775 x * (K(y,z) * K(u,w)) != v5 * v6 | ((x * K(y,z)) * K(u,w)) / v6 = v5. [para(14683(a,1),14706(a,1))]. given #13246 (H,wt=27): 14694 K(x,L(T(y,z),u,w)) * (z * K(v5,v6)) = z * (K(x,L(y,u,w)) * K(v5,v6)). [hyper(228,a,13899,a,b,14683,a(flip)),flip(a)]. given #13247 (H,wt=27): 14723 (K(x,y) / z) * K(u \ w,w \ u) = K(x,y) * (K(u \ w,w \ u) / z). [hyper(2460,a,14722,a)]. given #13248 (H,wt=27): 14764 (x \ (x / y)) * (z * (1 / ((x / y) * z))) = y \ (z * (1 / ((x / y) * z))). [para(16(a,1),14762(a,1,1,1))]. given #13249 (H,wt=27): 14765 x * (K(y,T(z,x)) * a(u,w,K(v5,v6))) = K(y,z) * (x * a(u,w,K(v5,v6))). [hyper(14489,a,14736,a),flip(a)]. given #13250 (H,wt=28): 14712 (K(x,y) * T(z,u)) \ ((K(x,y) * T(z,u)) * w) = L(w,K(x,y) * z,K(z,u)). [para(14656(a,1),13755(a,1,2))]. given #13251 (H,wt=12): 14777 L(x,K(y,z) * u,K(u,w)) = x. [hyper(284,a,14712,a)]. given #13252 (H,wt=28): 14780 (K(x,y) * (K(z,u) * x)) \ (K(x,y) * (K(z,u) * (x * w))) = L(w,x,K(z,u)). [hyper(228,a,447,a,b,14777,a(flip)),flip(a)]. given #13253 (H,wt=26): 14781 (K(x,y) * T(z,u)) \ (K(z,u) * (K(x,y) * (z * w))) = L(w,z,K(x,y)). [para(13665(a,1),14780(a,1,1))]. given #13254 (H,wt=24): 14782 (K(x,y) * T(z,u)) \ (K(x,y) * (T(z,u) * w)) = L(w,z,K(x,y)). [para(14429(a,1),14781(a,1,2))]. given #13255 (H,wt=15): 14783 L(x,T(y,z),K(u,w)) = L(x,y,K(u,w)). [hyper(456,a,14782,a)]. given #13256 (H,wt=29): 14758 K(x * y,y \ (x \ 1)) * ((x \ 1) * z) = ((K(y \ 1,y) * x) \ x) / (z \ x). [hyper(228,a,11903,a(flip),b,14757,a(flip)),flip(a)]. given #13257 (H,wt=25): 14785 K(x * y,y \ (x \ 1)) * ((x \ 1) * z) = K(y,y \ 1) / (z \ x). [para(2914(a,1),14758(a,2,1))]. given #13258 (H,wt=25): 14786 K(x * y,y \ (x \ 1)) * ((x \ 1) * z) = y * (1 / ((z \ x) * y)). [hyper(228,a,6840,a(flip),b,14785,a)]. given #13259 (H,wt=19): 14788 (x * (1 / (y * x))) * z = x * (1 / ((z \ y) * x)). [hyper(228,a,3535,a(flip),b,14786,a(flip)),flip(a)]. given #13260 (H,wt=29): 14760 (x \ y) * ((z \ u) * (1 / (y * (z \ u)))) = x \ K(z \ (u * y),(u * y) \ z). [para(12116(a,1),14756(a,1,2)),flip(a)]. given #13261 (H,wt=27): 14790 x \ K(y \ (z * u),(z * u) \ y) = (x \ u) * (K(y \ z,z \ y) / u). [para(6843(a,1),14760(a,1,2)),flip(a)]. given #13262 (H,wt=29): 14761 (x \ (y / z)) * (u * (1 / ((y / z) * u))) = x \ K(z \ (u * y),(u * y) \ z). [hyper(228,a,12118,a(flip),b,14759,a(flip))]. given #13263 (H,wt=29): 14766 (1 / ((a(x,y,K(z,u)) * K(w,v5)) * v6)) * K(w,v5) = (1 / v6) / a(x,y,K(z,u)). [hyper(72,a,321,a(flip),b,14737,a),flip(a)]. given #13264 (H,wt=29): 14776 x * (K(y,T(z,x)) * K(T(z,x),L(y,u,w))) = x * (K(z,L(y,u,w)) * K(y,z)). [hyper(228,a,14510,a,b,14694,a(flip)),flip(a)]. given #13265 (H,wt=29): 14792 (x \ (y / z)) * (u * (1 / ((y / z) * u))) = (x \ y) * (K(z \ u,u \ z) / y). [hyper(228,a,14790,a(flip),b,14761,a)]. given #13266 (H,wt=25): 14795 (x \ x) * (K(y \ z,z \ y) / x) = y \ (z * (1 / ((x / y) * z))). [hyper(228,a,14764,a(flip),b,14792,a(flip))]. given #13267 (H,wt=23): 14796 x \ (y * (1 / ((z / x) * y))) = 1 * (K(x \ y,y \ x) / z). [para(52(a,1),14795(a,1,1)),flip(a)]. given #13268 (H,wt=21): 14797 ((x \ y) * (1 / y)) * (x / z) = K(x \ y,y \ x) / z. [hyper(69,a,6897,a(flip),b,14796,a(flip)),flip(a)]. given #13269 (H,wt=29): 14793 (1 / ((a(x,y,K(z,u)) * K(w,v5)) * v6)) * K(w,v5) = (1 / v6) * a(u,y,K(z,x)). [hyper(228,a,13019,a(flip),b,14766,a)]. given #13270 (H,wt=29): 14794 x * (K(y,T(z,x)) * K(z,T(L(y,u,w),x))) = x * (K(z,L(y,u,w)) * K(y,z)). [para(7202(a,1),14776(a,1,2,2))]. given #13271 (H,wt=29): 14799 x * (K(y,T(z,x)) * K(z,L(T(y,x),u,w))) = x * (K(z,L(y,u,w)) * K(y,z)). [para(40(a,2),14794(a,1,2,2,2))]. given #13272 (H,wt=27): 14800 K(x,y) * (z * K(y,L(T(x,z),u,w))) = z * (K(y,L(x,u,w)) * K(x,y)). [hyper(14714,a,14799,a)]. given #13273 (H,wt=25): 14801 K(x,y) * (K(y,L(x,z,u)) * w) = w * (K(y,L(x,z,u)) * K(x,y)). [para(7283(a,1),14800(a,1,2))]. given #13274 (H,wt=21): 14802 K(x,y) * (K(y,L(x,z,u)) * w) = w * a(y,z,K(u,x)). [para(13002(a,1),14801(a,2,2))]. given #13275 (H,wt=22): 14803 K(x,y) * (K(y,L(x,z,u)) * a(y,z,u)) = T(a(y,z,u),x). [hyper(228,a,12973,a(flip),b,14802,a)]. given #13276 (H,wt=30): 14735 K(x,(K(y,z) \ (u * L(K(w,v5),v6,v7))) \ v8) = K(x,K(w,v5) \ ((K(y,z) \ u) \ v8)). [para(14337(a,2),14732(a,1,2,1))]. given #13277 (H,wt=30): 14804 K(x,(y * L(K(z,u),w,v5)) \ (K(v6,v7) \ v8)) = K(x,K(z,u) \ ((K(v7,v6) \ y) \ v8)). [hyper(228,a,14378,a(flip),b,14735,a(flip)),flip(a)]. given #13278 (H,wt=27): 14805 K(x,K(y,z) \ ((K(u,w) \ v5) \ v6)) = K(x,K(y,z) \ (v5 \ (K(w,u) \ v6))). [hyper(14733,a,14804,a),flip(a)]. given #13279 (H,wt=22): 14806 K(x,K(y,z) \ (u \ (K(z,L(y,w,v5)) \ v6))) = K(x,u \ v6). [hyper(228,a,14727,a(flip),b,14805,a(flip))]. given #13280 (H,wt=22): 14807 K(x,K(y,z) \ (u \ (L(K(z,y),w,v5) \ v6))) = K(x,u \ v6). [para(6313(a,1),14806(a,1,2,2,2,1))]. given #13281 (H,wt=22): 14808 K(x,y \ (K(z,u) \ (L(K(u,z),w,v5) \ v6))) = K(x,y \ v6). [hyper(228,a,14678,a(flip),b,14807,a(flip)),flip(a)]. given #13282 (H,wt=18): 14809 K(x,y \ (a(K(z,u),w,v5) \ v6)) = K(x,y \ v6). [para(14739(a,1),14808(a,1,2,2))]. given #13283 (H,wt=18): 14810 K(x,y \ (z * a(u,w,K(v5,v6)))) = K(x,y \ z). [para(14359(a,1),14809(a,1,2,2)),flip(a)]. given #13284 (H,wt=22): 14811 K(x,y \ T(z * a(u,w,K(v5,v6)),K(v7,v8))) = K(x,y \ z). [hyper(14026,a,14810,a)]. given #13285 (H,wt=22): 14812 K(x,y \ (L(K(z,u),w,v5) * (v6 * K(u,z)))) = K(x,y \ v6). [para(14614(a,1),14811(a,1,2,2))]. given #13286 (H,wt=22): 14813 K(x,y \ ((L(K(z,u),w,v5) * v6) * K(u,z))) = K(x,y \ v6). [para(14314(a,2),14812(a,1,2,2))]. given #13287 (H,wt=22): 14814 K(x,(K(y,z) * u) \ (L(K(y,z),w,v5) * v6)) = K(x,u \ v6). [hyper(14404,a,14813,a)]. given #13288 (H,wt=22): 14815 K(x,(K(y,z) \ u) \ (L(K(z,y),w,v5) * v6)) = K(x,u \ v6). [para(5035(a,2),14814(a,1,2,1))]. given #13289 (H,wt=18): 14816 K(x,(a(y,z,K(u,w)) * v5) \ v6) = K(x,v5 \ v6). [hyper(228,a,14621,a(flip),b,14815,a(flip)),flip(a)]. given #13290 (H,wt=18): 14818 K(x,(y * a(z,u,K(w,v5))) \ v6) = K(x,y \ v6). [para(14300(a,1),14816(a,1,2,1))]. given #13291 (H,wt=18): 14819 K(x,(y \ a(z,u,K(w,v5))) * v6) = K(x,y \ v6). [hyper(228,a,14438,a(flip),b,14818,a(flip)),flip(a)]. given #13292 (H,wt=18): 14821 K(x,(a(y,z,K(u,w)) / v5) \ v6) = K(x,v5 * v6). [para(64(a,1),14819(a,1,2,1)),flip(a)]. given #13293 (H,wt=31): 14707 ((x * K(y,z)) * K(u,(w * K(v5,v6)) \ v7)) / K(y,z) = x * K(u,K(v5,v6) \ (w \ v7)). [para(14661(a,1),14693(a,2,2))]. given #13294 (H,wt=31): 14822 ((x * K(y,z)) * K(u,(K(w,v5) / v6) * v7)) / K(y,z) = x * K(u,K(v5,w) \ (v6 \ v7)). [para(5554(a,1),14707(a,1,1,2))]. given #13295 (H,wt=23): 14823 x * K(y,K(z,u) \ (w \ v5)) = x * K(y,(K(u,z) / w) * v5). [hyper(295,a,14822,a)]. given #13296 (H,wt=23): 14824 x * K(y,(K(z,u) / w) * v5) = x * K(y,K(z,u) * (w \ v5)). [para(5035(a,1),14823(a,1,2,2)),flip(a)]. given #13297 (H,wt=23): 14825 K(x,y * (K(z,u) / w)) * w = w * K(x,K(z,u) * (w \ y)). [hyper(228,a,14731,a,b,14824,a(flip)),flip(a)]. given #13298 (H,wt=23): 14826 K(x,y * (z \ K(u,w))) * z = z * K(x,K(u,w) * (z \ y)). [para(13860(a,1),14825(a,1,1))]. given #13299 (H,wt=19): 14827 K(x,(y \ K(z,u)) * w) = K(x,K(z,u) * (y \ w)). [hyper(13898,a,14826,a)]. given #13300 (H,wt=19): 14828 K(x,y \ (K(z,u) * w)) = K(x,K(z,u) * (y \ w)). [hyper(14406,a,14827,a)]. given #13301 (H,wt=19): 14829 K(x,y \ (z * K(u,w))) = K(x,K(u,w) * (y \ z)). [hyper(14396,a,14827,a)]. given #13302 (H,wt=19): 14834 K(x,(y \ z) \ K(u,w)) = K(x,K(u,w) * (z \ y)). [hyper(228,a,14662,a,b,14829,a(flip)),flip(a)]. given #13303 (H,wt=21): 14830 K(x,(y \ K(z,u)) * (w \ 1)) = K(x,K(z,u) / (w * y)). [hyper(228,a,5422,a(flip),b,14827,a)]. given #13304 (H,wt=19): 14836 K(x,(y \ K(z,u)) / w) = K(x,K(z,u) / (w * y)). [hyper(5754,a,14830,a)]. given #13305 (H,wt=19): 14837 K(x,K(y,z) / (u * w)) = K(x,w \ (u \ K(y,z))). [hyper(228,a,14452,a(flip),b,14836,a(flip))]. given #13306 (H,wt=19): 14838 K(x,(y * z) \ K(u,w)) = K(x,z \ (y \ K(u,w))). [hyper(13658,a,14837,a)]. given #13307 (H,wt=21): 14831 K(x,K(y,z) * ((u \ 1) \ w)) = K(x,(u * K(y,z)) * w). [hyper(228,a,5880,a(flip),b,14827,a(flip))]. given #13308 (H,wt=25): 14839 K(x,y \ ((z \ (u \ 1)) \ K(w,v5))) = K(x,K(w,v5) * (y \ (u * z))). [hyper(228,a,11080,a(flip),b,14837,a(flip))]. given #13309 (H,wt=26): 14833 K(x,K(y,L(z,u,w)) * (v5 \ (u * w))) = K(x,v5 \ ((K(y,z) * u) * w)). [para(13325(a,1),14828(a,1,2,2)),flip(a)]. given #13310 (H,wt=23): 14842 K(x,y \ ((K(z,u) * w) * v5)) = K(x,K(z,u) * (y \ (w * v5))). [hyper(228,a,14473,a(flip),b,14833,a(flip))]. given #13311 (H,wt=27): 14835 K(x,K(y,z) * T(u * w,w \ (u \ 1))) = K(x,K(y,z) * ((u \ 1) \ w)). [hyper(228,a,13762,a,b,14834,a(flip)),flip(a)]. given #13312 (H,wt=25): 14845 K(x,K(y,z) * T(u * w,w \ (u \ 1))) = K(x,(u * K(y,z)) * w). [hyper(228,a,14831,a(flip),b,14835,a)]. given #13313 (H,wt=23): 14846 K(x,K(y,z) * ((u \ (w \ 1)) \ 1)) = K(x,(w * K(y,z)) * u). [para(764(a,1),14845(a,1,2,2))]. given #13314 (H,wt=21): 14847 K(x,K(y,z) / (u \ (w \ 1))) = K(x,(w * K(y,z)) * u). [hyper(5754,a,14846,a)]. given #13315 (H,wt=21): 14848 K(x,(1 / K(y,z)) \ (u * w)) = K(x,(u * K(y,z)) * w). [para(324(a,1),14847(a,1,2))]. given #13316 (H,wt=22): 14849 K(x,(y * K(z,u)) * w) != v5 | K(x,K(z,u) * (y * w)) = v5. [para(14848(a,1),6171(a,1))]. given #13317 (H,wt=29): 14841 x / (a(y,z,K(u,w \ (v5 \ K(v6,v7)))) * x) = a((v5 * w) \ K(v6,v7),z,K(u,y)). [para(14838(a,1),13006(a,1,2,1,3))]. given #13318 (H,wt=28): 14850 a((x * y) \ K(z,u),w,K(v5,v6)) != v7 | a(y \ (x \ K(z,u)),w,K(v5,v6)) = v7. [para(14841(a,1),13024(a,1))]. given #13319 (H,wt=30): 14844 K(x,K(y,z) * (((K(y,z) * u) * w) \ (u * (w * v5)))) = K(x,L(v5,w,K(y,z) * u)). [para(28(a,2),14842(a,1,2)),flip(a)]. given #13320 (H,wt=31): 14832 K(x,((y \ (z \ K(u,w))) * K(v5,v6)) * v7) = K(x,K(v5,v6) * (((K(w,u) * z) * y) \ v7)). [para(5881(a,1),14827(a,1,2,1))]. given #13321 (H,wt=31): 14840 K(x,y \ ((((y \ z) * u) \ (y \ 1)) \ K(w,v5))) = K(x,(u \ ((z \ 1) * y)) \ K(w,v5)). [para(4530(a,1),14838(a,1,2,1)),flip(a)]. given #13322 (H,wt=31): 14851 K(x,K(y,z) * (((K(u,w) * v5) * v6) \ v7)) = K(x,K(y,z) * ((v6 \ (v5 \ K(w,u))) * v7)). [hyper(14849,a,14832,a),flip(a)]. given #13323 (H,wt=30): 14853 K(x,K(y,z) * ((u \ (w \ K(z,y))) * (w * (u * v5)))) = K(x,L(v5,u,K(y,z) * w)). [hyper(228,a,14844,a(flip),b,14851,a(flip))]. given #13324 (H,wt=31): 14852 K(x,y \ ((((y \ z) * u) \ (y \ 1)) \ K(w,v5))) = K(x,K(w,v5) * (((z \ 1) * y) \ u)). [hyper(228,a,14834,a(flip),b,14840,a)]. given #13325 (H,wt=29): 14854 K(x,K(y,z) * (u \ (u * ((u \ w) * v5)))) = K(x,K(y,z) * (((w \ 1) * u) \ v5)). [hyper(228,a,14839,a(flip),b,14852,a(flip)),flip(a)]. given #13326 (H,wt=25): 14855 K(x,K(y,z) * (((u \ 1) * w) \ v5)) = K(x,K(y,z) * ((w \ u) * v5)). [para(13(a,1),14854(a,1,2,2)),flip(a)]. given #13327 (H,wt=32): 14768 x * (a(y,z,K(u,w)) * K(v5,v6)) != v7 * v8 | v7 \ ((x * K(v5,v6)) * a(y,z,K(u,w))) = v8. [para(14737(a,1),437(a,1))]. given #13328 (H,wt=36): 14789 ((x * (1 / ((y \ z) * x))) * u) * ((y * u) \ ((x * (1 / (z * x))) \ 1)) = a(x * (1 / (z * x)),y,u). [para(14788(a,1),13168(a,2,1,1)),flip(a)]. given #13329 (H,wt=36): 14857 (x * (1 / ((y \ (z \ u)) * x))) * ((z * y) \ ((x * (1 / (u * x))) \ 1)) = a(x * (1 / (u * x)),z,y). [para(14788(a,1),14789(a,1,1))]. given #13330 (H,wt=36): 14858 (x * (1 / ((y \ (z \ u)) * x))) * ((z * y) \ ((1 / (u * x)) \ (x \ 1))) = a(x * (1 / (u * x)),z,y). [para(118(a,1),14857(a,1,2,2))]. given #13331 (H,wt=34): 14859 (x * (1 / ((y \ (z \ u)) * x))) * ((z * y) \ (u * K(x \ 1,x))) = a(x * (1 / (u * x)),z,y). [para(2874(a,1),14858(a,1,2,2))]. given #13332 (H,wt=34): 14860 (x * (1 / ((y \ (z \ u)) * x))) * (K(x \ 1,x) * ((z * y) \ u)) = a(x * (1 / (u * x)),z,y). [para(4372(a,1),14859(a,1,2))]. given #13333 (H,wt=34): 14861 x * (1 / (((K(x \ 1,x) * ((y * z) \ u)) \ (z \ (y \ u))) * x)) = a(x * (1 / (u * x)),y,z). [hyper(228,a,14788,a(flip),b,14860,a(flip)),flip(a)]. given #13334 (H,wt=34): 14862 x * (1 / ((K(x,x \ 1) * (((y * z) \ u) \ (z \ (y \ u)))) * x)) = a(x * (1 / (u * x)),y,z). [para(4425(a,1),14861(a,1,2,2,1))]. given #13335 (H,wt=31): 14863 x * (1 / ((K(x,x \ 1) * (a(1 / y,z,u) \ 1)) * x)) = a(x * (1 / (y * x)),z,u). [para(11977(a,1),14862(a,1,2,2,1,2))]. given #13336 (H,wt=29): 14864 x * (1 / ((x * (1 / (a(1 / y,z,u) * x))) * x)) = a(x * (1 / (y * x)),z,u). [para(11722(a,1),14863(a,1,2,2,1))]. given #13337 (H,wt=29): 14865 x * (1 / (x * (1 / ((x \ a(1 / y,z,u)) * x)))) = a(x * (1 / (y * x)),z,u). [para(14788(a,1),14864(a,1,2,2))]. given #13338 (H,wt=29): 14866 x * ((x \ 1) * (x / (1 / (x \ a(1 / y,z,u))))) = a(x * (1 / (y * x)),z,u). [para(6847(a,1),14865(a,1,2))]. given #13339 (H,wt=29): 14867 x * ((x \ 1) * (x / ((1 / a(1 / y,z,u)) * x))) = a(x * (1 / (y * x)),z,u). [para(326(a,1),14866(a,1,2,2,2))]. given #13340 (H,wt=29): 14868 x * ((x \ 1) * (x / ((a(1 / y,z,u) \ 1) * x))) = a(x * (1 / (y * x)),z,u). [para(11721(a,1),14867(a,1,2,2,2,1))]. given #13341 (H,wt=25): 14869 x * (x \ (1 / (a(1 / y,z,u) \ 1))) = a(x * (1 / (y * x)),z,u). [para(6866(a,1),14868(a,1,2))]. given #13342 (H,wt=21): 14870 a(x * (1 / (y * x)),z,u) = x * (x \ a(1 / y,z,u)). [para(61(a,1),14869(a,1,2,2)),flip(a)]. given #13343 (H,wt=17): 14871 a(x * (1 / (y * x)),z,u) = a(1 / y,z,u). [hyper(228,a,14,a(flip),b,14870,a)]. given #13344 (H,wt=22): 14874 ((x \ y) / z) / (x \ (y / z)) = a(1 / (1 / z),y \ 1,x). [hyper(228,a,11077,a(flip),b,14871,a(flip)),flip(a)]. given #13345 (H,wt=18): 14876 ((x \ y) / z) / (x \ (y / z)) = a(z,y \ 1,x). [hyper(228,a,3716,a(flip),b,14874,a)]. given #13346 (H,wt=37): 14791 ((x * (y * (z \ 1))) \ y) * (K(z \ x,x \ z) / y) != u | T((z / y) / x,a(x,y,z \ 1) \ 1) = u. [para(14790(a,1),13206(a,1))]. given #13347 (H,wt=39): 14411 ((x * y) * (K(z,K(u,w)) * v5)) / ((y * K(z,K(u,w))) * v5) = R(x,R(y,K(z,K(u,w)),v5),K(z,K(u,w)) * v5). [para(14407(a,1),480(a,1,1,1,2))]. given #13348 (H,wt=39): 14412 (x * (K(y,K(z,u)) * w)) \ ((x * K(y,K(z,u))) * (w * v5)) = L(v5,L(w,K(y,K(z,u)),x),K(y,K(z,u)) * x). [para(14408(a,1),13721(a,1,2,2,1))]. given #13349 (H,wt=31): 14879 L(x,L(y,K(z,K(u,w)),v5),K(z,K(u,w)) * v5) != v6 | L(x,y,v5 * K(z,K(u,w))) = v6. [para(14412(a,1),14410(a,1))]. given #13350 (H,wt=39): 14436 (K(x,y) * (T(z,u) * w)) \ (K(z,u) * ((K(x,y) * z) * w)) = L(a(K(x,y),z,w),K(x,y) * (z * w),K(z,u)). [para(14429(a,1),463(a,1,1))]. given #13351 (H,wt=39): 14877 (K(x,K(y,z)) \ ((u * w) * v5)) / ((w * K(x,K(y,z))) * v5) = R(u,R(w,K(x,K(y,z)),v5),K(x,K(y,z)) * v5). [para(14386(a,2),14411(a,1,1))]. given #13352 (H,wt=39): 14878 (x * (K(y,K(z,u)) * w)) \ (x * (K(y,K(z,u)) * (w * v5))) = L(v5,L(w,K(y,K(z,u)),x),K(y,K(z,u)) * x). [para(14402(a,1),14412(a,1,2))]. given #13353 (H,wt=28): 14882 L(x,L(y,K(z,K(u,w)),v5),K(z,K(u,w)) * v5) = L(x,K(z,K(u,w)) * y,v5). [hyper(14371,a,14878,a),flip(a)]. given #13354 (H,wt=21): 14883 L(x,K(y,K(z,u)) * w,v5) = L(x,w,v5 * K(y,K(z,u))). [hyper(14879,a,14882,a),flip(a)]. given #13355 (H,wt=15): 14884 L(x,y,z * K(u,K(w,v5))) = L(x,y,z). [hyper(228,a,14591,a(flip),b,14883,a(flip))]. given #13356 (H,wt=22): 14886 L(L(x,y,z),u,K(w,K(v5,v6))) = L(x,y,z * K(v7,K(v8,v9))). [hyper(228,a,14276,a,b,14884,a),flip(a)]. given #13357 (H,wt=18): 14887 L(x,y,z * K(u,K(w,v5))) != v6 | L(x,y,z) = v6. [para(14886(a,1),334(a,1)),flip(b)]. given #13358 (H,wt=18): 14888 L(x,y,K(z,T(u,w))) != v5 | L(x,y,K(z,u)) = v5. [para(7162(a,1),14887(a,1,3))]. given #13359 (H,wt=18): 14889 L(x,K(y,K(z,u)) * w,v5) != v6 | L(x,w,v5) = v6. [para(14883(a,2),14887(a,1))]. given #13360 (H,wt=39): 14880 (K(x,y) * (T(z,u) * w)) \ (K(z,u) * ((K(x,y) * z) * w)) = L(a(x,z,K(w,y)),K(x,y) * (z * w),K(z,u)). [para(12987(a,1),14436(a,2,1))]. given #13361 (H,wt=39): 14881 (K(x,K(y,z)) \ ((u * w) * v5)) / ((K(x,K(y,z)) \ w) * v5) = R(u,R(w,K(x,K(y,z)),v5),K(x,K(y,z)) * v5). [para(13718(a,2),14877(a,1,2,1))]. given #13362 (H,wt=39): 14891 (K(x,y) * (T(z,u) * w)) \ (K(z,u) * ((K(x,y) * z) * w)) = a(x,z,K(w,L(y,K(x,y) * (z * w),K(z,u)))). [hyper(228,a,11938,a,b,14880,a)]. given #13363 (H,wt=28): 14893 (K(x,y) * (T(z,u) * w)) \ (K(z,u) * ((K(x,y) * z) * w)) = a(x,z,K(w,y)). [para(14305(a,1),14891(a,2,3))]. given #13364 (H,wt=26): 14895 (K(x,y) * (T(z,u) * w)) \ ((K(x,y) * T(z,u)) * w) = a(x,z,K(w,y)). [para(14656(a,1),14893(a,1,2))]. given #13365 (H,wt=15): 14896 a(K(x,y),T(z,u),w) = a(x,z,K(w,y)). [hyper(663,a,14895,a)]. given #13366 (H,wt=15): 14897 a(x,T(y,z),K(u,w)) = a(x,y,K(u,w)). [hyper(12988,a,14896,a)]. given #13367 (H,wt=17): 14899 a(x,y / z,K(u,w)) = a(x,z \ y,K(u,w)). [para(115(a,1),14897(a,1,2)),flip(a)]. given #13368 (H,wt=31): 14898 a(T(x,y) \ (z \ 1),x * (1 / (z * x)),K(u,w)) = a(1 / (z * T(x,y)),x,K(u,w)). [hyper(228,a,13136,a,b,14897,a(flip)),flip(a)]. given #13369 (H,wt=31): 14902 a(T(x,y) \ (z \ 1),x * (1 / (z * x)),K(u,w)) = a((z * T(x,y)) \ 1,x,K(u,w)). [hyper(228,a,14527,a(flip),b,14898,a)]. given #13370 (H,wt=31): 14903 a(T(x,y) \ (z \ 1),x * (1 / (z * x)),K(u,w)) = a(T(x,y) \ (z \ 1),x,K(u,w)). [para(118(a,1),14902(a,2,1))]. given #13371 (H,wt=39): 14892 (K(x,K(y,z)) \ ((u * w) * v5)) / (K(x,K(y,z)) \ (w * v5)) = R(u,R(w,K(x,K(y,z)),v5),K(x,K(y,z)) * v5). [para(14264(a,2),14881(a,1,2))]. given #13372 (H,wt=39): 14904 K(x,K(y,z)) \ (((u * w) * v5) / (K(x,K(y,z)) \ (w * v5))) = R(u,R(w,K(x,K(y,z)),v5),K(x,K(y,z)) * v5). [hyper(14393,a,14892,a)]. given #13373 (H,wt=27): 14905 R(x,R(y,K(z,K(u,w)),v5),K(z,K(u,w)) * v5) = ((x * y) * v5) / (y * v5). [hyper(228,a,14415,a(flip),b,14904,a(flip))]. given #13374 (H,wt=22): 14907 R(x,R(y,K(z,K(u,w)),v5),K(z,K(u,w)) * v5) = R(x,y,v5). [hyper(228,a,30,a,b,14905,a)]. given #13375 (H,wt=15): 14908 R(x,y,K(z,K(u,w)) * v5) = R(x,y,v5). [para(14407(a,1),14907(a,1,2))]. given #13376 (H,wt=15): 14911 R(x,y,z * K(u,K(w,v5))) = R(x,y,z). [para(7326(a,1),14908(a,1,3))]. given #13377 (H,wt=26): 14912 (x * y) * (z * K(u,K(w,y * z))) = R(x,y,z) * T(y * z,K(u,w)). [para(14911(a,1),8608(a,1,1)),flip(a)]. given #13378 (H,wt=37): 14913 (R(x,y,z) * T(y * z,K(u,w))) * (T(y * z,K(u,w)) \ (x \ 1)) = a(x,y,z * K(u,K(w,y * z))). [para(14912(a,1),13170(a,1,1))]. given #13379 (H,wt=21): 14915 a(x,y,z * K(u,K(w,y * z))) = R(x,y,z) * (x \ 1). [hyper(1588,a,14913,a),flip(a)]. given #13380 (H,wt=13): 14916 a(x,y,z) = R(x,y,z) * (x \ 1). [hyper(14603,a,14915,a)]. given #13381 (H,wt=11): 14917 a(x,y,z) = x \ R(x,y,z). [hyper(228,a,1147,a(flip),b,14916,a)]. given #13382 (H,wt=13): 14926 R(x,y,z) \ x = a(x,y,z) \ 1. [para(14917(a,2),3522(a,1,1)),flip(a)]. given #13383 (H,wt=12): 14933 T(x,K(y,R(z,u,w) \ z)) = x. [para(14926(a,2),14292(a,1,2,2))]. given #13384 (H,wt=14): 14919 a(x,y,z) != u | x \ R(x,y,z) = u. [para(14916(a,2),1153(a,1))]. given #13385 (H,wt=15): 14925 x * (R(x,y,z) \ 1) = a(x,y,z) \ 1. [para(14917(a,2),3519(a,1,1)),flip(a)]. given #13386 (H,wt=15): 14931 x \ L(x,y,K(z,u)) = a(x,y,K(z,u)). [para(13387(a,1),14917(a,2,2)),flip(a)]. given #13387 (H,wt=15): 14937 x * a(x,y,K(z,u)) = L(x,y,K(z,u)). [para(14931(a,1),14(a,1,2))]. given #13388 (H,wt=13): 14939 L(x,y,K(z,u)) = T(x,a(u,y,z)). [hyper(13030,a,14937,a),flip(a)]. given #13389 (H,wt=15): 14938 x * a(y,z,K(u,x)) = L(x,z,K(y,u)). [hyper(13087,a,14937,a)]. given #13390 (H,wt=17): 14920 a(x,y,K(y \ (z \ 1),u)) = a(z,K(u,x),y). [hyper(228,a,14363,a,b,14917,a),flip(a)]. given #13391 (H,wt=15): 14948 a(x,y,K(z,y * u)) = a(u,K(z,x),y). [hyper(228,a,14532,a(flip),b,14920,a(flip)),flip(a)]. given #13392 (H,wt=17): 14944 (x * y) / T(x,L(y,z,u)) = L(y,z,K(u,x)). [hyper(11438,a,14938,a)]. given #13393 (H,wt=18): 14940 x \ L(x,y,K(z,u)) != w | a(x,y,K(z,u)) = w. [para(14937(a,1),284(a,1,2)),flip(b)]. given #13394 (H,wt=19): 14934 T(x,T(R(y,z,u) \ y,w)) = T(x,R(y,z,u) \ y). [hyper(7798,a,14933,a)]. given #13395 (H,wt=19): 14935 K(x,y) * K(x * y,x) != z | x \ R(x,y,x) = z. [para(8877(a,2),14919(a,1))]. given #13396 (H,wt=19): 14943 a(x,y,K(z,u)) * (w * u) = w * L(u,y,K(x,z)). [para(14939(a,2),14362(a,2,2))]. given #13397 (H,wt=19): 14952 K(x,y) * K(y * x,x) != z | x \ R(x,y,x) = z. [para(5647(a,2),14935(a,1,2))]. given #13398 (H,wt=20): 14946 K(x,(y / z) / ((y * u) / (z * u))) = a(y,K(z,x),u). [hyper(14350,a,14920,a)]. given #13399 (H,wt=20): 14947 K((x / y) / ((x * z) / (y * z)),u) = a(x,K(u,y),z). [hyper(228,a,14515,a,b,14920,a(flip)),flip(a)]. given #13400 (H,wt=21): 14942 T(x,R(y,z,u) \ y) = L(x,u,K(u \ (z \ (y \ 1)),z)). [hyper(228,a,13194,a(flip),b,14939,a),flip(a)]. given #13401 (H,wt=19): 14956 T(x,R(y,z,u) \ y) = L(x,u,K(z,(y \ 1) \ u)). [hyper(228,a,13803,a(flip),b,14942,a)]. given #13402 (H,wt=17): 14957 T(x,R(y,z,u) \ y) = L(x,u,K(z,y * u)). [para(5548(a,1),14956(a,2,3))]. given #13403 (H,wt=21): 14945 (x * y) / T(L(x,z,K(u,w)),y) = a(x,z,K(w,u)) * y. [para(14938(a,1),14504(a,1,2,1))]. given #13404 (H,wt=21): 14950 (x * y) / T(x,L(y,y \ (z \ 1),u)) = L(y,z,K(x,u)). [hyper(228,a,13403,a(flip),b,14944,a)]. given #13405 (H,wt=19): 14961 (x * y) / T(x,L(y,z \ 1,u)) = L(y,z,K(x,u)). [para(11435(a,1),14950(a,1,2))]. given #13406 (H,wt=15): 14962 L(x,y \ 1,K(z,u)) = L(x,y,K(u,z)). [hyper(228,a,14944,a(flip),b,14961,a(flip)),flip(a)]. given #13407 (H,wt=21): 14960 (x * y) / L(T(x,y),z,K(u,w)) = a(x,z,K(w,u)) * y. [para(40(a,2),14945(a,1,2))]. given #13408 (H,wt=19): 14964 L(x,y,K(z,u)) \ (x * w) = a(x,y,K(u,z)) * w. [hyper(228,a,10698,a(flip),b,14960,a(flip)),flip(a)]. given #13409 (H,wt=22): 14930 K(x,L(y,z,u)) * a(x,z,u) = R(T(x,y),z,u) * (x \ 1). [para(14917(a,2),13324(a,1,2))]. given #13410 (H,wt=21): 14966 K(x,y) * (R(T(y,x),z,u) * (y \ 1)) = T(a(y,z,u),x). [para(14930(a,1),14803(a,1,2))]. given #13411 (H,wt=19): 14967 K(x,y) * (y \ R(T(y,x),z,u)) = T(a(y,z,u),x). [para(1692(a,1),14966(a,1,2))]. given #13412 (H,wt=17): 14968 T(x,y) \ R(T(x,y),z,u) = T(a(x,z,u),y). [hyper(5008,a,14967,a)]. given #13413 (H,wt=13): 14969 a(T(x,y),z,u) = T(a(x,z,u),y). [hyper(228,a,14917,a,b,14968,a(flip)),flip(a)]. given #13414 (H,wt=18): 14971 a(x,y,z) * a(x,y,K(z,u)) = a(T(x,u),y,z). [hyper(228,a,12973,a,b,14969,a),flip(a)]. given #13415 (H,wt=19): 14970 a(T(x,a(y,z,u)),w,v5) = L(a(x,w,v5),z,K(u,y)). [hyper(228,a,14939,a,b,14969,a)]. given #13416 (H,wt=19): 14973 a(T(x,(x * y) \ z),y,z \ 1) = a(x,y,z \ 1). [hyper(228,a,14358,a(flip),b,14969,a)]. given #13417 (H,wt=19): 14977 a(L(x,y,K(z,u)),w,v5) = L(a(x,w,v5),y,K(z,u)). [para(14939(a,2),14970(a,1,1))]. given #13418 (H,wt=19): 14978 a(T(x,y \ (x \ z)),y,z \ 1) = a(x,y,z \ 1). [para(7095(a,1),14973(a,1,1))]. given #13419 (H,wt=20): 14976 a(x,y,z) * a(x,y,K(z,u)) = a(T(x,z \ u),y,z). [para(11500(a,1),14971(a,1,2))]. given #13420 (H,wt=15): 14979 a(T(x,y \ z),u,y) = a(T(x,z),u,y). [hyper(228,a,14971,a(flip),b,14976,a(flip))]. given #13421 (H,wt=21): 14972 T(a(x,y,z),z \ (u \ w)) = a(T(x,u \ (x \ w)),y,z). [hyper(228,a,14582,a(flip),b,14969,a),flip(a)]. given #13422 (H,wt=21): 14974 a(T(x,y \ (x \ z)),u,w) = T(a(x,u,w),x \ (y \ z)). [hyper(14574,a,14969,a(flip)),flip(a)]. given #13423 (H,wt=21): 14975 a(T(x,x \ (y / z)),u,w) = T(a(x,u,w),x \ (z \ y)). [hyper(14573,a,14969,a(flip)),flip(a)]. given #13424 (H,wt=21): 14980 a(T(x,y \ (z \ u)),w,y) = a(T(x,z \ (x \ u)),w,y). [hyper(228,a,14969,a,b,14972,a(flip)),flip(a)]. given #13425 (H,wt=19): 14983 a(T(x,y \ (x \ z)),u,w) = a(T(x,y \ z),u,w). [hyper(228,a,14979,a(flip),b,14980,a(flip))]. given #13426 (H,wt=17): 14984 a(T(x,y \ z),y,z \ 1) = a(x,y,z \ 1). [hyper(228,a,14978,a(flip),b,14983,a(flip))]. given #13427 (H,wt=21): 14981 a(T(x,y \ (x \ z)),u,w) = a(T(x,x \ (y \ z)),u,w). [hyper(228,a,14969,a,b,14974,a)]. given #13428 (H,wt=19): 14985 a(T(x,x \ (y \ z)),u,w) = a(T(x,y \ z),u,w). [hyper(228,a,14983,a(flip),b,14981,a(flip))]. given #13429 (H,wt=21): 14982 a(T(x,x \ (y / z)),u,w) = a(T(x,x \ (z \ y)),u,w). [hyper(228,a,14969,a,b,14975,a)]. given #13430 (H,wt=22): 14953 a(x,y,K(z,u)) * (w * u) != w * v5 | L(u,y,K(x,z)) = v5. [para(14943(a,2),19(a,1))]. given #13431 (H,wt=23): 14951 K(x,R(y,z,u) \ y) * T(x,w) = T(T(x,w),R(y,z,u) \ y). [hyper(8033,a,14934,a)]. given #13432 (H,wt=19): 14987 K(x,T(R(y,z,u) \ y,w)) = K(x,R(y,z,u) \ y). [hyper(18,a,7226,a,b,14951,a),flip(a)]. given #13433 (H,wt=22): 14988 K(x,R(y,z,u) \ y) != w | K(x,T(R(y,z,u) \ y,v5)) = w. [para(14987(a,1),7147(a,1))]. given #13434 (H,wt=23): 14965 a(x,y \ (x \ 1),K(z,u)) * w = L(x,y,K(z,u)) \ (x * w). [para(13400(a,1),14964(a,1,1)),flip(a)]. given #13435 (H,wt=21): 14989 a(x,y \ (x \ 1),K(z,u)) * w = a(x,y,K(u,z)) * w. [hyper(228,a,14964,a(flip),b,14965,a)]. given #13436 (H,wt=19): 14990 a(x,y \ 1,K(z,u)) * w = a(x,y,K(u,z)) * w. [para(14541(a,1),14989(a,1,1))]. given #13437 (H,wt=15): 14991 a(x,y \ 1,K(z,u)) = a(z,y,K(x,u)). [hyper(13060,a,14990,a)]. given #13438 (H,wt=19): 14993 a(x,(1 / y) * z,K(u,w)) = a(u,z \ y,K(x,w)). [hyper(228,a,10885,a(flip),b,14991,a(flip)),flip(a)]. given #13439 (H,wt=21): 14992 a(x,(y * K(z \ 1,z)) \ 1,K(u,w)) = a(u,y,K(x,w)). [hyper(228,a,10884,a(flip),b,14991,a)]. given #13440 (H,wt=19): 14996 a(x,y * (1 / (z * y)),K(u,w)) = a(u,z,K(x,w)). [hyper(228,a,10892,a(flip),b,14992,a(flip)),flip(a)]. given #13441 (H,wt=19): 14998 a(x,(y \ 1) * z,K(u,w)) = a(u,z \ y,K(x,w)). [para(255(a,1),14996(a,1,2,2))]. given #13442 (H,wt=23): 14986 K(x,R(y,z,u) \ y) = L(T(x,w),u,K(z,y * u)) / T(x,w). [hyper(72,a,14957,a(flip),b,14951,a),flip(a)]. given #13443 (H,wt=23): 14995 a(x,y \ T(y * z,u),K(y * z,w)) = a(y * z,y,K(x,w)). [hyper(228,a,14587,a(flip),b,14993,a(flip))]. given #13444 (H,wt=23): 14999 K(x,R(y,z,u) \ y) = T(x,w) \ L(T(x,w),u,K(z,y * u)). [hyper(228,a,4596,a(flip),b,14986,a)]. given #13445 (H,wt=19): 15000 K(x,R(y,z,u) \ y) = a(T(x,w),u,K(z,y * u)). [hyper(228,a,14931,a(flip),b,14999,a)]. given #13446 (H,wt=17): 15001 K(x,R(y,z,u) \ y) = a(x,u,K(z,y * u)). [hyper(228,a,14514,a(flip),b,15000,a)]. given #13447 (H,wt=17): 15002 K(x,R(y,z,u) \ y) = a(z,u,K(y * u,x)). [hyper(228,a,12990,a,b,15001,a)]. given #13448 (H,wt=21): 15004 K(x,R(y,z,1 / u) \ y) = a(z,1 / u,K(y / u,x)). [para(5642(a,1),15002(a,2,3))]. given #13449 (H,wt=24): 14936 ((x / y) / z) * ((x / (z * y)) \ 1) = a((x / y) / z,z,y) \ 1. [para(226(a,1),14925(a,1,2,1))]. given #13450 (H,wt=24): 14955 K((x / y) / ((x * z) / (y * z)),u) * w = a(x,K(y,u),z) \ w. [para(14946(a,1),5035(a,1,1)),flip(a)]. given #13451 (H,wt=17): 15006 a(x,K(y,z),u) \ w = a(x,K(z,y),u) * w. [para(14947(a,1),14955(a,1,1)),flip(a)]. given #13452 (H,wt=25): 14997 a(T(x,y) \ (z \ 1),x,K(u,w)) = a(u,z,K(T(x,y) \ (z \ 1),w)). [hyper(228,a,14903,a(flip),b,14996,a(flip)),flip(a)]. given #13453 (H,wt=25): 15005 K(x,R(y,z,1 / (u * y)) \ y) = a(z,1 / (u * y),K(u \ 1,x)). [para(5618(a,1),15004(a,2,3))]. given #13454 (H,wt=25): 15008 K(x,R(y,z,1 / (u * y)) \ y) = a(z,(u * y) \ 1,K(u \ 1,x)). [hyper(228,a,14899,a(flip),b,15005,a)]. given #13455 (H,wt=23): 15009 K(x,R(y,z,1 / (u * y)) \ y) = a(u \ 1,u * y,K(z,x)). [hyper(228,a,14991,a(flip),b,15008,a)]. given #13456 (H,wt=27): 14959 T(x,R(T(y,z),u,T(w,y)) \ T(y,z)) = L(x,T(w,y),K(u,w * T(y,z))). [para(13666(a,1),14957(a,2,3))]. given #13457 (H,wt=25): 15010 T(x,R(T(y,z),u,T(w,y)) \ T(y,z)) = L(x,w,K(u,w * T(y,z))). [hyper(228,a,14783,a(flip),b,14959,a)]. given #13458 (H,wt=21): 15012 T(x,R(y,z,T(u,y)) \ y) = L(x,u,K(z,u * T(y,w))). [hyper(228,a,14475,a(flip),b,15010,a(flip)),flip(a)]. given #13459 (H,wt=19): 15014 T(x,R(y,z,T(u,y)) \ y) = L(x,u,K(z,y * u)). [para(113(a,1),15012(a,2,3,2))]. given #13460 (H,wt=27): 14994 a(x,(y \ 1) * ((z \ u) \ 1),K(w,v5)) = a(w,((1 / u) * z) \ y,K(x,v5)). [para(631(a,1),14991(a,1,2))]. given #13461 (H,wt=25): 15015 a(x,((y \ z) \ 1) \ u,K(w,v5)) = a(x,((1 / z) * y) \ u,K(w,v5)). [hyper(228,a,14998,a(flip),b,14994,a(flip)),flip(a)]. given #13462 (H,wt=28): 14954 K(x,((y \ z) / u) / ((y \ 1) / (u * (z \ 1)))) = a(y \ z,K(u,x),z \ 1). [para(119(a,1),14946(a,1,2,2,1))]. given #13463 (H,wt=28): 14958 T(x,R(y * z,u,z \ 1) \ (y * z)) = L(x,z \ 1,K(u,R(y,z,z \ 1))). [para(194(a,1),14957(a,2,3,2))]. given #13464 (H,wt=23): 15018 T(x,R(y * z,u,z \ 1) \ (y * z)) = L(x,z \ 1,K(u,y)). [para(12390(a,1),14958(a,2,3))]. given #13465 (H,wt=21): 15019 T(x,R(y * z,u,z \ 1) \ (y * z)) = L(x,z,K(y,u)). [hyper(228,a,14962,a(flip),b,15018,a)]. given #13466 (H,wt=28): 15017 K(x,((y \ z) / u) / ((1 / (y \ 1)) \ (z / u))) = a(y \ z,K(u,x),z \ 1). [para(325(a,1),14954(a,1,2,2))]. given #13467 (H,wt=24): 15021 K(x,((y \ z) / u) / (y \ (z / u))) = a(y \ z,K(u,x),z \ 1). [para(61(a,1),15017(a,1,2,2,1))]. given #13468 (H,wt=19): 15022 a(x \ y,K(z,u),y \ 1) = K(u,a(z,y \ 1,x)). [para(14876(a,1),15021(a,1,2)),flip(a)]. given #13469 (H,wt=19): 15023 a(x \ y,K(z,u),y \ 1) = a(u,y \ 1,K(x,z)). [hyper(228,a,13008,a,b,15022,a)]. given #13470 (H,wt=17): 15024 a(x \ y,K(z,u),y \ 1) = a(x,y,K(u,z)). [hyper(228,a,14991,a(flip),b,15023,a)]. given #13471 (H,wt=29): 14949 a(x,y * K(z,u),K((y \ (w \ 1)) * K(u,z),v5)) = a(w,K(v5,x),y * K(z,u)). [para(14651(a,1),14920(a,1,3))]. given #13472 (H,wt=27): 15025 a(x,y * K(z,u),K((w * y) \ K(u,z),v5)) = a(w,K(v5,x),y * K(z,u)). [para(5190(a,1),14949(a,1,3,1))]. given #13473 (H,wt=35): 15003 K(x,R(y,z,u / ((1 / w) * v5)) \ y) = a(x,u / ((1 / w) * v5),K(z,y * ((u \ 1) \ (v5 \ w)))). [para(6430(a,1),15001(a,2,3))]. given #13474 (H,wt=31): 15026 K(x,R(y,z,1 / ((1 / u) * w)) \ y) = a(x,1 / ((1 / u) * w),K(z,y * (w \ u))). [para(126(a,1),15003(a,2,3,2,2))]. given #13475 (H,wt=27): 15027 K(x,R(y,z,1 / ((1 / u) * y)) \ y) = a(x,1 / ((1 / u) * y),K(z,u)). [para(14(a,1),15026(a,2,3,2))]. given #13476 (H,wt=27): 15028 K(x,R(y,z,1 / ((1 / u) * y)) \ y) = a(x,((1 / u) * y) \ 1,K(z,u)). [hyper(228,a,14899,a(flip),b,15027,a)]. given #13477 (H,wt=27): 15029 K(x,R(y,z,1 / ((1 / u) * y)) \ y) = a(x,y \ ((1 / u) \ 1),K(z,u)). [para(118(a,1),15028(a,2,2))]. given #13478 (H,wt=23): 15030 K(x,R(y,z,1 / ((1 / u) * y)) \ y) = a(x,y \ u,K(z,u)). [para(64(a,1),15029(a,2,2,2))]. given #13479 (H,wt=35): 15016 a(x \ (((y \ 1) \ 1) \ x),((1 / 1) * y) \ x,K(z,u)) = a(((x \ (y \ x)) \ 1) \ 1,x,K(z,u)). [hyper(228,a,13138,a(flip),b,15015,a(flip))]. given #13480 (H,wt=33): 15031 a(x \ (((y \ 1) \ 1) \ x),(1 * y) \ x,K(z,u)) = a(((x \ (y \ x)) \ 1) \ 1,x,K(z,u)). [para(58(a,1),15016(a,1,2,1,1))]. given #13481 (H,wt=31): 15032 a(x \ (((y \ 1) \ 1) \ x),y \ x,K(z,u)) = a(((x \ (y \ x)) \ 1) \ 1,x,K(z,u)). [para(11(a,1),15031(a,1,2,1))]. given #13482 (H,wt=29): 15034 a(((x \ (y \ x)) \ 1) \ 1,x,K(z,u)) = a(((y \ 1) \ 1) \ 1,y \ x,K(z,u)). [hyper(228,a,14548,a(flip),b,15032,a(flip))]. given #13483 (H,wt=25): 15036 a(((x \ (y \ x)) \ 1) \ 1,x,K(z,u)) = a(y \ 1,y \ x,K(z,u)). [hyper(228,a,14528,a(flip),b,15034,a)]. given #13484 (H,wt=25): 15038 a(x \ (((y \ 1) \ 1) \ x),x,K(z,u)) = a(y \ 1,y \ x,K(z,u)). [para(3095(a,1),15036(a,1,1))]. given #13485 (H,wt=23): 15039 a(((x \ 1) \ 1) \ 1,y,K(z,u)) = a(x \ 1,x \ y,K(z,u)). [hyper(228,a,14548,a(flip),b,15038,a(flip)),flip(a)]. given #13486 (H,wt=19): 15040 a(x \ 1,x \ y,K(z,u)) = a(x \ 1,y,K(z,u)). [hyper(14538,a,15039,a),flip(a)]. given #13487 (H,wt=19): 15043 a(x \ 1,x * y,K(z,u)) = a(x \ 1,y,K(z,u)). [para(13(a,1),15040(a,1,2)),flip(a)]. given #13488 (H,wt=21): 15044 K(x,R(y,z,1 / (u * y)) \ y) = a(u \ 1,y,K(z,x)). [hyper(228,a,15009,a,b,15043,a(flip)),flip(a)]. given #13489 (H,wt=19): 15045 a((1 / x) \ 1,y,K(z,u)) = a(u,y \ x,K(z,x)). [hyper(228,a,15030,a(flip),b,15044,a(flip))]. given #13490 (H,wt=15): 15046 a(x,y \ z,K(u,z)) = a(z,y,K(u,x)). [para(64(a,1),15045(a,1,1)),flip(a)]. given #13491 (H,wt=17): 15047 a(x \ 1,y,K(z,u)) = a(z,y \ x,K(u,x)). [hyper(228,a,13034,a,b,15046,a),flip(a)]. given #13492 (H,wt=19): 15048 a(x,y \ z,K(u,z \ 1)) = a(z \ 1,y,K(u,x)). [hyper(228,a,13012,a,b,15047,a),flip(a)]. given #13493 (H,wt=31): 15049 a(x,(y * K(z,u)) / w,K(v5,(1 / w) \ 1)) = a((1 / w) \ 1,K(u,z) / y,K(v5,x)). [para(5133(a,1),15048(a,1,2))]. given #13494 (H,wt=27): 15050 a((1 / x) \ 1,K(y,z) / u,K(w,v5)) = a(v5,(u * K(z,y)) / x,K(w,x)). [para(64(a,1),15049(a,1,3,2)),flip(a)]. given #13495 (H,wt=27): 15051 a((1 / x) \ 1,K(y,z) / u,K(w,v5)) = a(v5,x \ (u * K(z,y)),K(w,x)). [hyper(228,a,14899,a(flip),b,15050,a)]. given #13496 (H,wt=25): 15052 a((1 / x) \ 1,K(y,z) / u,K(w,v5)) = a(x,u * K(z,y),K(v5,w)). [hyper(228,a,13084,a(flip),b,15051,a)]. given #13497 (H,wt=21): 15053 a(x,K(y,z) / u,K(w,v5)) = a(x,u * K(z,y),K(v5,w)). [para(64(a,1),15052(a,1,1))]. given #13498 (H,wt=21): 15054 a(x,y \ K(z,u),K(w,v5)) = a(x,y * K(u,z),K(v5,w)). [hyper(228,a,14899,a(flip),b,15053,a(flip)),flip(a)]. given #13499 (H,wt=40): 14433 ((x / y) / z) * ((x / (z * y)) \ K(z \ (x / y),a(z,y,x \ 1) \ 1)) = (((x / y) / z) \ (x / (z * y))) \ 1. [para(14416(a,1),13185(a,1,2,2))]. given #13500 (H,wt=37): 15055 ((x / y) / z) * ((x / (z * y)) \ K(z \ (x / y),a(z,y,x \ 1) \ 1)) = (a(z,y,x \ 1) \ 1) \ 1. [para(13181(a,1),14433(a,2,1))]. given #13501 (H,wt=33): 15056 ((x / y) / z) * ((x / (z * y)) \ K(z \ (x / y),a(z,y,x \ 1) \ 1)) = a(z,y,x \ 1). [hyper(228,a,11720,a(flip),b,15055,a)]. given #13502 (H,wt=40): 14767 x \ (((x * K(a(y,z,K(u,w)) * K(v5,v6),v7)) * K(v5,v6)) * a(y,z,K(u,w))) = T(a(y,z,K(u,w)) * K(v5,v6),v7). [hyper(71,a,14737,a,b,5177,a(flip))]. given #13503 (H,wt=33): 15057 x \ (((x * K(K(y,z),u)) * K(y,z)) * a(w,v5,K(v6,v7))) = T(a(w,v5,K(v6,v7)) * K(y,z),u). [para(14501(a,1),14767(a,1,2,1,1,2))]. given #13504 (H,wt=33): 15058 x \ (((x * K(y,K(z,u))) * K(y,z)) * a(w,v5,K(v6,v7))) = T(a(w,v5,K(v6,v7)) * K(y,z),u). [para(7693(a,1),15057(a,1,2,1,1,2))]. given #13505 (H,wt=33): 15060 x \ ((x * (K(y,z) * K(y,K(z,u)))) * a(w,v5,K(v6,v7))) = T(a(w,v5,K(v6,v7)) * K(y,z),u). [para(14390(a,1),15058(a,1,2,1))]. given #13506 (H,wt=29): 15061 x \ ((x * K(y,T(z,u))) * a(w,v5,K(v6,v7))) = T(a(w,v5,K(v6,v7)) * K(y,z),u). [para(7706(a,1),15060(a,1,2,1,2))]. given #13507 (H,wt=25): 15062 T(a(x,y,K(z,u)) * K(w,v5),v6) = K(w,T(v5,v6)) * a(x,y,K(z,u)). [hyper(5707,a,15061,a),flip(a)]. given #13508 (H,wt=27): 15063 x * T(a(y,z,K(u,w)) * K(v5,v6),x) = K(v5,v6) * (x * a(y,z,K(u,w))). [para(15062(a,2),14765(a,1,2))]. given #13509 (H,wt=25): 15064 (a(x,y,K(z,u)) * K(w,v5)) * v6 = K(w,v5) * (v6 * a(x,y,K(z,u))). [hyper(219,a,15063,a)]. given #13510 (H,wt=29): 15065 (1 / (K(x,y) * (z * a(u,w,K(v5,v6))))) * K(x,y) = (1 / z) * a(v6,w,K(v5,u)). [para(15064(a,1),14793(a,1,1,2))]. given #13511 (H,wt=29): 15066 ((1 / (x * a(y,z,K(u,w)))) * K(v5,v6)) * K(v6,v5) = (1 / x) * a(w,z,K(u,y)). [para(5048(a,1),15065(a,1,1))]. given #13512 (H,wt=27): 15067 ((a(x,y,K(z,u)) / w) * K(v5,v6)) * K(v6,v5) = (1 / w) * a(x,y,K(z,u)). [para(13098(a,1),15066(a,1,1,1))]. given #13513 (H,wt=19): 15068 (1 / x) * a(y,z,K(u,w)) = a(y,z,K(u,w)) / x. [hyper(5065,a,15067,a)]. given #13514 (H,wt=25): 15069 K(x,(a(y,z,K(u,w)) / v5) \ v6) = K(x,(a(y,z,K(u,w)) \ v5) * v6). [para(15068(a,1),5544(a,1,2,1))]. given #13515 (H,wt=18): 15070 K(x,(a(y,z,K(u,w)) \ v5) * v6) = K(x,v5 * v6). [hyper(228,a,14821,a(flip),b,15069,a(flip))]. given #13516 (H,wt=23): 15072 K(x,((y * z) \ K(u,w)) * v5) = K(x,(z \ (y \ K(u,w))) * v5). [hyper(228,a,12994,a(flip),b,15070,a(flip))]. given #13517 (H,wt=23): 15074 K(x,(y \ (z \ K(u,w))) * v5) = K(x,K(u,w) * ((z * y) \ v5)). [hyper(228,a,14827,a(flip),b,15072,a(flip))]. given #13518 (H,wt=25): 15075 K(x,K(y,z) * ((((u \ K(z,y)) \ 1) * w) \ v5)) = K(x,(u * w) \ v5). [hyper(228,a,11734,a(flip),b,15074,a(flip))]. given #13519 (H,wt=23): 15076 K(x,K(y,z) * ((u \ (w \ K(z,y))) * v5)) = K(x,(w * u) \ v5). [hyper(228,a,14855,a(flip),b,15075,a(flip)),flip(a)]. given #13520 (H,wt=22): 15077 K(x,L(y,z,K(u,w) * v5)) = K(x,(v5 * z) \ (v5 * (z * y))). [hyper(228,a,14853,a(flip),b,15076,a(flip)),flip(a)]. given #13521 (H,wt=17): 15079 K(x,L(y,z,K(u,w) * v5)) = K(x,L(y,z,v5)). [para(28(a,2),15077(a,2,2))]. given #13522 (H,wt=21): 15080 a(K(x,y) * z,u,K(w,v5)) = K(w,v5) * K(v5,L(w,u,z)). [para(15079(a,1),11406(a,1,2)),flip(a)]. given #13523 (H,wt=17): 15081 a(K(x,y) * z,u,K(w,v5)) = a(v5,u,K(z,w)). [hyper(228,a,13001,a(flip),b,15080,a)]. given #13524 (H,wt=17): 15082 a(x,y,K(K(z,u) * w,v5)) = a(x,y,K(w,v5)). [hyper(13039,a,15081,a)]. given #13525 (H,wt=17): 15083 a(x,y,K(z,K(u,w) * v5)) = a(z,y,K(v5,x)). [hyper(13033,a,15081,a)]. given #13526 (H,wt=19): 15084 a(T(x,y) \ z,u,K(w,v5)) = a(v5,u,K(x \ z,w)). [para(5004(a,1),15081(a,1,1))]. given #13527 (H,wt=19): 15086 a(x,y,K(x \ z,u)) = a(x,y,K(u,z \ K(w,v5))). [hyper(228,a,14569,a(flip),b,15083,a(flip))]. given #13528 (H,wt=19): 15087 a(x,y,K(T(z,u) * w,v5)) = a(v5,y,K(x,z * w)). [para(4681(a,1),15083(a,1,3,2)),flip(a)]. given #13529 (H,wt=19): 15091 a(x,y,K(z,u \ K(w,v5))) = a(u \ 1,y,K(x,z)). [hyper(228,a,14567,a,b,15086,a(flip))]. given #13530 (H,wt=19): 15092 a(T(x,y) * z,u,K(w,v5)) = a(w,u,K(v5,x * z)). [hyper(13033,a,15087,a)]. given #13531 (H,wt=19): 15093 a(x \ K(y,z),u,K(w,v5)) = a(x \ 1,u,K(w,v5)). [hyper(13039,a,15091,a)]. given #13532 (H,wt=21): 15094 a(x,y,K(z,(u / w) * v5)) = a(x,y,K(z,(w \ u) * v5)). [hyper(228,a,13025,a(flip),b,15092,a(flip))]. given #13533 (H,wt=23): 15085 a(x,y,K(K(z,u) / (w * v5),v6)) = a(x,y,K(v5 \ (w \ 1),v6)). [para(5645(a,1),15082(a,1,3))]. given #13534 (H,wt=23): 15088 a(x,y,K(z,u \ (T(w,v5) * v6))) = a(z,y,K(u \ (w * v6),x)). [para(14715(a,1),15083(a,1,3))]. given #13535 (H,wt=23): 15089 a(x,y,K(T(z,u) \ (y \ 1),w)) = a(w,z,K(z \ (y \ 1),x)). [hyper(228,a,14997,a(flip),b,15084,a(flip)),flip(a)]. given #13536 (H,wt=19): 15101 a(x,y,K(T(z,u) \ (y \ 1),w)) = a(y,K(x,w),z). [hyper(228,a,14920,a(flip),b,15089,a)]. given #13537 (H,wt=17): 15102 a(x,y,K(z \ (y \ 1),u)) = a(y,K(x,u),z). [para(112(a,1),15101(a,1,3,1,1))]. given #13538 (H,wt=15): 15103 a(x,y,K(y * z,u)) = a(y,K(u,x),z). [hyper(13041,a,15102,a)]. given #13539 (H,wt=17): 15104 a(x \ (y \ 1),y,K(z,u)) = a(y,K(u,z),x). [hyper(13033,a,15102,a)]. given #13540 (H,wt=17): 15105 a(x,y,K(z,y \ (u \ 1))) = a(y,K(z,x),u). [hyper(228,a,14559,a(flip),b,15104,a(flip)),flip(a)]. given #13541 (H,wt=17): 15106 a(x \ (y \ 1),x,K(z,u)) = a(x,K(u,z),y). [hyper(13039,a,15105,a)]. given #13542 (H,wt=23): 15095 a(x \ (y \ K(z,u)),w,K(v5,v6)) = a((y * x) \ 1,w,K(v5,v6)). [hyper(14850,a,15093,a)]. given #13543 (H,wt=23): 15098 a(x,y,K((z * u) \ K(w,v5),v6)) = a(x,y,K(u \ (z \ 1),v6)). [hyper(14534,a,15085,a)]. given #13544 (H,wt=23): 15107 a(x \ (y \ K(z,u)),x,K(w,v5)) = a(x,K(v5,w),K(u,z) * y). [para(4893(a,1),15106(a,1,1,2))]. given #13545 (H,wt=23): 15108 a(x \ (y \ K(z,u)),w,K(v5,v6)) = a(x \ (y \ 1),w,K(v5,v6)). [para(118(a,1),15095(a,2,1))]. given #13546 (H,wt=21): 15110 a(x \ (y \ 1),x,K(z,u)) = a(x,K(u,z),K(w,v5) * y). [hyper(228,a,15107,a(flip),b,15108,a(flip))]. given #13547 (H,wt=17): 15113 a(x,K(y,z),K(u,w) * v5) = a(x,K(y,z),v5). [hyper(228,a,15106,a(flip),b,15110,a(flip))]. given #13548 (H,wt=21): 15114 a(x,K(y,z),(u / w) * v5) = a(x,K(y,z),(w \ u) * v5). [para(5010(a,1),15113(a,1,3))]. given #13549 (H,wt=25): 15099 a(x,y,K((1 / z) \ (u * w),v5)) = a(v5,y,K(x,z * (T(u,v6) * w))). [para(5540(a,1),15088(a,1,3)),flip(a)]. given #13550 (H,wt=23): 15116 a(x,y,K(z,u * (T(w,v5) * v6))) = a(z,y,K(u * (w * v6),x)). [para(5634(a,1),15099(a,1,3)),flip(a)]. given #13551 (H,wt=25): 15109 a(x,y * K(z,u),K(y \ (w \ 1),v5)) = a(w,K(v5,x),y * K(z,u)). [hyper(228,a,15025,a(flip),b,15098,a(flip))]. given #13552 (H,wt=25): 15115 a(x,K(y,z),(u / w) * K(v5 \ v6,v6 \ v5)) = a(x,K(y,z),w \ u). [hyper(228,a,10855,a(flip),b,15114,a)]. given #13553 (H,wt=27): 15097 x / (a(y,z,K(u,(w \ v5) * v6)) * x) = a((w * (v5 \ 1)) \ v6,z,K(u,y)). [para(15094(a,1),13057(a,1,2,1))]. given #13554 (H,wt=23): 15121 a((x * (y \ 1)) \ z,u,K(w,v5)) = a((x \ y) * z,u,K(w,v5)). [hyper(13024,a,15097,a),flip(a)]. given #13555 (H,wt=23): 15122 a((x \ y) * (z \ 1),u,K(w,v5)) = a(z \ (y / x),u,K(w,v5)). [hyper(228,a,14545,a(flip),b,15121,a(flip))]. given #13556 (H,wt=21): 15123 a(x \ (y / z),u,K(w,v5)) = a(x \ (z \ y),u,K(w,v5)). [hyper(228,a,14544,a(flip),b,15122,a(flip))]. given #13557 (H,wt=29): 15117 a(x \ 1,y,K(z * (u * x),w)) = a(x \ 1,y,K(w,K(u,v5) \ (u \ (1 / z)))). [hyper(228,a,14616,a,b,15116,a(flip))]. given #13558 (H,wt=27): 15125 a(x \ 1,y,K(z * (u * x),w)) = a(x \ 1,y,K(w,T(u,v5) \ (1 / z))). [para(4718(a,1),15117(a,2,3,2))]. given #13559 (H,wt=27): 15126 a(x \ 1,y,K(z * (u * x),w)) = a(x \ 1,y,K(w,T(u,v5) \ (z \ 1))). [para(5388(a,1),15125(a,2,3))]. given #13560 (H,wt=25): 15127 a(x \ 1,y,K(z * (u * x),w)) = a(x \ 1,y,K(w,u \ (z \ 1))). [para(112(a,1),15126(a,2,3,2,1))]. given #13561 (H,wt=23): 15128 a(x \ 1,y,K(z,u \ (w \ 1))) = a(x,y,K(z,w * (u * x))). [hyper(13051,a,15127,a),flip(a)]. given #13562 (H,wt=21): 15129 a(x,y,K(z \ 1,u * w)) = a(z,y,K(x,w * (u * z))). [hyper(228,a,14539,a(flip),b,15128,a(flip)),flip(a)]. given #13563 (H,wt=22): 15130 a(x,y,K(z,u * (w * x))) != v5 | a(z,y,K(w * u,x)) = v5. [para(15129(a,1),13080(a,1))]. given #13564 (H,wt=29): 15120 a(x,K(y,z),K(u,w) * (K(v5 \ v6,v6 \ v5) / v7)) = a(x,K(y,z),v7 \ K(u,w)). [para(14723(a,1),15115(a,1,3))]. given #13565 (H,wt=25): 15131 a(x,K(y,z),u \ K(w,v5)) = a(x,K(y,z),K(v6 \ v7,v7 \ v6) / u). [hyper(228,a,15113,a(flip),b,15120,a(flip))]. given #13566 (H,wt=22): 15133 a(x,K(y,z),u \ K(w,v5)) != v6 | a(x,K(y,z),u \ 1) = v6. [para(15131(a,2),10860(a,1))]. given #13567 (H,wt=31): 15119 a(x \ y,K(z,u),(y \ 1) * K(w,v5)) = a(u,(y \ 1) * K(w,v5),K((x \ 1) \ 1,z)). [para(257(a,1),15109(a,1,3,1)),flip(a)]. given #13568 (H,wt=29): 15134 a(x \ y,K(z,u),(y \ 1) * K(w,v5)) = a(u,y \ K(w,v5),K((x \ 1) \ 1,z)). [para(5131(a,1),15119(a,2,2))]. given #13569 (H,wt=25): 15135 a(x \ y,K(z,u),(y \ 1) * K(w,v5)) = a(u,y \ K(w,v5),K(x,z)). [para(2857(a,1),15134(a,2,3))]. given #13570 (H,wt=23): 15136 a(x \ y,K(z,u),y \ K(w,v5)) = a(u,y \ K(w,v5),K(x,z)). [para(5131(a,1),15135(a,1,3))]. given #13571 (H,wt=23): 15137 a(x \ y,K(z,u),y \ K(w,v5)) = a(u,y * K(v5,w),K(z,x)). [hyper(228,a,15054,a(flip),b,15136,a)]. given #13572 (H,wt=21): 15138 a(x \ y,K(z,u),y \ 1) = a(u,y * K(w,v5),K(z,x)). [hyper(15133,a,15137,a)]. given #13573 (H,wt=17): 15139 a(x,y * K(z,u),K(w,v5)) = a(v5,y,K(x,w)). [hyper(228,a,15024,a(flip),b,15138,a(flip))]. given #13574 (H,wt=17): 15140 a(x,K(y,z) * u,K(w,v5)) = a(x,u,K(w,v5)). [hyper(14608,a,15139,a)]. given #13575 (H,wt=19): 15142 a(x,y \ T(y * z,u),K(w,v5)) = a(x,z,K(w,v5)). [para(5478(a,1),15140(a,1,2)),flip(a)]. given #13576 (H,wt=17): 15144 a(x * y,x,K(z,u)) = a(z,y,K(x * y,u)). [hyper(228,a,14995,a(flip),b,15142,a(flip)),flip(a)]. given #13577 (H,wt=17): 15146 a(x * y,x,K(z,u)) = K(u,R(x,z,y) \ x). [hyper(228,a,15002,a,b,15144,a)]. given #13578 (H,wt=19): 15148 K(x,T(R(y,z,u) \ y,w)) = a(y * u,y,K(z,x)). [hyper(228,a,14987,a,b,15146,a),flip(a)]. given #13579 (H,wt=21): 15147 a(T(x,y) * z,x,K(u,w)) = a(u,z,K(T(x,y) * z,w)). [hyper(228,a,14897,a(flip),b,15144,a(flip)),flip(a)]. given #13580 (H,wt=19): 15150 a(T(x,y) * z,x,K(u,w)) = a(w,z,K(u,x * z)). [hyper(228,a,15087,a(flip),b,15147,a)]. given #13581 (H,wt=17): 15152 a(x,y,K(z,u * y)) = a(z,u,K(x,u * y)). [hyper(228,a,15092,a(flip),b,15150,a(flip))]. given #13582 (H,wt=21): 15153 a(x,y,K(z,u * (y * x))) = a(z,u,K(x,u * (y * x))). [hyper(228,a,13032,a(flip),b,15152,a(flip)),flip(a)]. given #13583 (H,wt=19): 15154 a(x,y,K(y * z,u)) = a(x,z,K(u,z * (y * u))). [hyper(15130,a,15153,a)]. given #13584 (H,wt=17): 15155 a(x,y,K(z,y * (u * z))) = a(u,K(z,x),y). [hyper(228,a,15103,a(flip),b,15154,a(flip))]. given #13585 (H,wt=15): 15156 a(x * y,K(y,z),u) = a(x,K(y,z),u). [hyper(228,a,14948,a(flip),b,15155,a(flip)),flip(a)]. given #13586 (H,wt=23): 15149 a(x * y,x,K(z,u)) * (w * u) = w * T(u,R(x,z,y) \ x). [para(15148(a,1),8225(a,1,1))]. given #13587 (H,wt=17): 15157 L(x,y,K(y * z,u)) = T(x,R(y,u,z) \ y). [hyper(14953,a,15149,a)]. given #13588 (H,wt=19): 15159 L(x,y,K(y * T(z,y),u)) = L(x,z,K(u,y * z)). [hyper(228,a,15014,a(flip),b,15157,a)]. given #13589 (H,wt=17): 15160 L(x,y,K(z * y,u)) = L(x,z,K(u,y * z)). [para(113(a,1),15159(a,1,3,1))]. given #13590 (H,wt=21): 15158 L(x,y * z,K((y * z) * (z \ 1),u)) = L(x,z,K(y,u)). [hyper(228,a,15019,a(flip),b,15157,a)]. given #13591 (H,wt=20): 15162 L(x,y * z,K(R(y,z,z \ 1),u)) = L(x,z,K(y,u)). [para(194(a,1),15158(a,1,3,1))]. given #13592 (H,wt=15): 15163 L(x,y * z,K(y,u)) = L(x,z,K(y,u)). [para(12570(a,1),15162(a,1,3))]. given #13593 (H,wt=28): 15161 L(x,y * z,K(u,(z \ 1) * (y * z))) = L(x,z \ 1,K(R(y,z,z \ 1),u)). [para(194(a,1),15160(a,1,3,1)),flip(a)]. given #13594 (H,wt=23): 15165 L(x,y * z,K(u,(z \ 1) * (y * z))) = L(x,z \ 1,K(y,u)). [para(12570(a,1),15161(a,2,3))]. given #13595 (H,wt=21): 15166 L(x,y * z,K(u,(z \ 1) * (y * z))) = L(x,z,K(u,y)). [hyper(228,a,14962,a(flip),b,15165,a)]. given #13596 (H,wt=19): 15168 L(x,y * z,K(u,z \ (y * z))) = L(x,z,K(u,y)). [para(5543(a,1),15166(a,1,3))]. given #13597 (H,wt=17): 15169 L(x,y * z,K(u,T(y,z))) = L(x,z,K(u,y)). [para(32(a,2),15168(a,1,3,2))]. given #13598 (H,wt=15): 15170 L(x,y * z,K(u,y)) = L(x,z,K(u,y)). [hyper(14888,a,15169,a)]. given #13599 (H,wt=18): 15171 L(a(x,y,z),y * z,K(y,x)) = a(x,T(y,x),z). [hyper(11136,a,15170,a),flip(a)]. given #13600 (H,wt=16): 15172 L(a(x,y,z),z,K(y,x)) = a(x,T(y,x),z). [hyper(228,a,15163,a(flip),b,15171,a(flip)),flip(a)]. given #13601 (H,wt=16): 15173 a(L(x,y,K(z,x)),z,y) = a(x,T(z,x),y). [hyper(228,a,14977,a,b,15172,a(flip)),flip(a)]. given #13602 (H,wt=11): 15174 a(x,T(y,x),z) = a(x,y,z). [para(7452(a,1),15173(a,1,1)),flip(a)]. given #13603 (H,wt=51): 14763 (x \ (y * (z \ 1))) * (((u \ 1) \ 1) * (1 / ((y * (z \ 1)) * ((u \ 1) \ 1)))) = (x \ ((u \ (z / y)) \ 1)) * (1 / ((y * (z \ 1)) * ((u \ 1) \ 1))). [para(627(a,1),14759(a,1,1,2)),flip(a)]. given #13604 (H,wt=47): 15175 (x \ (y * (z \ 1))) * (((u \ 1) \ 1) * (1 / ((y * (z \ 1)) * ((u \ 1) \ 1)))) = (x \ ((u \ (z / y)) \ 1)) * (1 / ((u \ (z / y)) \ 1)). [para(627(a,1),14763(a,2,2,2))]. given #13605 (H,wt=43): 15176 (x \ (y * (z \ 1))) * (((u \ 1) \ 1) * (1 / ((y * (z \ 1)) * ((u \ 1) \ 1)))) = (x \ ((u \ (z / y)) \ 1)) * (u \ (z / y)). [para(61(a,1),15175(a,2,2))]. given #13606 (H,wt=41): 15177 (x \ (y * (z \ 1))) * (((u \ 1) \ 1) * (1 / ((y * (z \ 1)) * ((u \ 1) \ 1)))) = x \ K((z / y) \ u,u \ (z / y)). [hyper(228,a,4363,a(flip),b,15176,a)]. given #13607 (H,wt=41): 15179 (x \ (y * (z \ 1))) * (((u \ 1) \ 1) * (1 / ((y * (z \ 1)) * ((u \ 1) \ 1)))) = x \ K(z \ (y * u),(y * u) \ z). [para(6878(a,1),15177(a,2,2))]. given #13608 (H,wt=41): 15180 (x \ (y * (z \ 1))) * (((u \ 1) \ 1) * (1 / ((y * (z \ 1)) * ((u \ 1) \ 1)))) = (x \ u) * (K(z \ y,y \ z) / u). [hyper(228,a,14790,a(flip),b,15179,a)]. given #13609 (H,wt=37): 15181 (x \ (y * (z \ 1))) * (((u \ 1) \ 1) * (1 / ((u \ (z / y)) \ 1))) = (x \ u) * (K(z \ y,y \ z) / u). [para(627(a,1),15180(a,1,2,2,2))]. given #13610 (H,wt=33): 15182 (x \ (y * (z \ 1))) * (((u \ 1) \ 1) * (u \ (z / y))) = (x \ u) * (K(z \ y,y \ z) / u). [para(61(a,1),15181(a,1,2,2))]. given #13611 (H,wt=31): 15184 (x \ (y * (z \ 1))) * (K(u,u \ 1) * (z / y)) = (x \ u) * (K(z \ y,y \ z) / u). [para(3007(a,1),15182(a,1,2))]. given #13612 (H,wt=59): 14773 ((((x * (1 / ((y * (z \ 1)) * x))) \ z) * u) \ ((x * (1 / ((y * (z \ 1)) * x))) \ 1)) * (x * (1 / ((y * (z \ 1)) * x))) = u \ (((z \ 1) * x) * (1 / (y * ((z \ 1) * x)))). [para(14772(a,2),4530(a,2,2))]. given #13613 (H,wt=59): 15185 ((((x * ((1 / (1 / x)) \ (y / z))) \ y) * u) \ ((x * (1 / ((z * (y \ 1)) * x))) \ 1)) * (x * (1 / ((z * (y \ 1)) * x))) = u \ (((y \ 1) * x) * (1 / (z * ((y \ 1) * x)))). [para(633(a,1),14773(a,1,1,1,1,1,2))]. given #13614 (H,wt=57): 15186 ((((K(x,x \ 1) * (y / z)) \ y) * u) \ ((x * (1 / ((z * (y \ 1)) * x))) \ 1)) * (x * (1 / ((z * (y \ 1)) * x))) = u \ (((y \ 1) * x) * (1 / (z * ((y \ 1) * x)))). [para(3036(a,1),15185(a,1,1,1,1,1))]. given #13615 (H,wt=57): 15187 (((K(x \ 1,x) * ((y / z) \ y)) * u) \ ((x * (1 / ((z * (y \ 1)) * x))) \ 1)) * (x * (1 / ((z * (y \ 1)) * x))) = u \ (((y \ 1) * x) * (1 / (z * ((y \ 1) * x)))). [para(4370(a,1),15186(a,1,1,1,1))]. given #13616 (H,wt=53): 15188 (((K(x \ 1,x) * y) * z) \ ((x * (1 / ((y * (u \ 1)) * x))) \ 1)) * (x * (1 / ((y * (u \ 1)) * x))) = z \ (((u \ 1) * x) * (1 / (y * ((u \ 1) * x)))). [para(64(a,1),15187(a,1,1,1,1,2))]. given #13617 (H,wt=53): 15189 ((K(x \ 1,x) * (y * z)) \ ((x * (1 / ((y * (u \ 1)) * x))) \ 1)) * (x * (1 / ((y * (u \ 1)) * x))) = z \ (((u \ 1) * x) * (1 / (y * ((u \ 1) * x)))). [para(3445(a,1),15188(a,1,1,1))]. given #13618 (H,wt=53): 15190 ((K(x \ 1,x) * (y * z)) \ ((x * ((1 / (1 / x)) \ (u / y))) \ 1)) * (x * (1 / ((y * (u \ 1)) * x))) = z \ (((u \ 1) * x) * (1 / (y * ((u \ 1) * x)))). [para(633(a,1),15189(a,1,1,2,1,2))]. given #13619 (H,wt=51): 15191 ((K(x \ 1,x) * (y * z)) \ ((K(x,x \ 1) * (u / y)) \ 1)) * (x * (1 / ((y * (u \ 1)) * x))) = z \ (((u \ 1) * x) * (1 / (y * ((u \ 1) * x)))). [para(3036(a,1),15190(a,1,1,2,1))]. given #13620 (H,wt=49): 15192 ((K(x \ 1,x) * (y * z)) \ ((u / y) \ K(x \ 1,x))) * (x * (1 / ((y * (u \ 1)) * x))) = z \ (((u \ 1) * x) * (1 / (y * ((u \ 1) * x)))). [para(1889(a,1),15191(a,1,1,2))]. given #13621 (H,wt=49): 15193 ((K(x \ 1,x) * (y * z)) \ (((u / y) \ (x \ 1)) * x)) * (x * (1 / ((y * (u \ 1)) * x))) = z \ (((u \ 1) * x) * (1 / (y * ((u \ 1) * x)))). [para(4362(a,1),15192(a,1,1,2))]. given #13622 (H,wt=49): 15194 ((((x / y) * (K(z \ 1,z) * (y * u))) \ (z \ 1)) * z) * (z * (1 / ((y * (x \ 1)) * z))) = u \ (((x \ 1) * z) * (1 / (y * ((x \ 1) * z)))). [para(4529(a,1),15193(a,1,1))]. given #13623 (H,wt=49): 15195 ((K(x,x \ 1) * (((y / z) * (z * u)) \ (x \ 1))) * x) * (x * (1 / ((z * (y \ 1)) * x))) = u \ (((y \ 1) * x) * (1 / (z * ((y \ 1) * x)))). [para(4434(a,1),15194(a,1,1,1))]. given #13624 (H,wt=43): 15196 ((((x / y) * (y * z)) \ (1 / u)) * u) * (u * (1 / ((y * (x \ 1)) * u))) = z \ (((x \ 1) * u) * (1 / (y * ((x \ 1) * u)))). [para(4403(a,1),15195(a,1,1,1))]. given #13625 (H,wt=39): 15197 (((x / y) * (y * z)) \ 1) * (u * (1 / ((y * (x \ 1)) * u))) = z \ (((x \ 1) * u) * (1 / (y * ((x \ 1) * u)))). [para(256(a,1),15196(a,1,1))]. given #13626 (H,wt=39): 15198 ((x * y) \ ((z / x) \ 1)) * (u * (1 / ((x * (z \ 1)) * u))) = y \ (((z \ 1) * u) * (1 / (x * ((z \ 1) * u)))). [para(118(a,1),15197(a,1,1))]. given #13627 (H,wt=39): 15200 ((x * y) \ (x * (z \ 1))) * (u * (1 / ((x * (z \ 1)) * u))) = y \ (((z \ 1) * u) * (1 / (x * ((z \ 1) * u)))). [para(120(a,1),15198(a,1,1,2))]. given #13628 (H,wt=39): 15201 ((x * y) \ (x * (z \ 1))) * (u * ((1 / (1 / u)) \ (z / x))) = y \ (((z \ 1) * u) * (1 / (x * ((z \ 1) * u)))). [para(633(a,1),15200(a,1,2,2))]. given #13629 (H,wt=37): 15202 ((x * y) \ (x * (z \ 1))) * (K(u,u \ 1) * (z / x)) = y \ (((z \ 1) * u) * (1 / (x * ((z \ 1) * u)))). [para(3036(a,1),15201(a,1,2))]. given #13630 (H,wt=33): 15203 x \ (((y \ 1) * z) * (1 / (u * ((y \ 1) * z)))) = ((u * x) \ z) * (K(y \ u,u \ y) / z). [hyper(228,a,15184,a(flip),b,15202,a(flip))]. given #13631 (H,wt=33): 15204 x \ ((y \ 1) * (z * (1 / ((u * (y \ 1)) * z)))) = ((u * x) \ z) * (K(y \ u,u \ y) / z). [para(14772(a,1),15203(a,1,2))]. given #13632 (H,wt=33): 15205 x \ ((y \ 1) * (z * ((1 / (1 / z)) \ (y / u)))) = ((u * x) \ z) * (K(y \ u,u \ y) / z). [para(633(a,1),15204(a,1,2,2,2))]. given #13633 (H,wt=31): 15206 x \ ((y \ 1) * (K(z,z \ 1) * (y / u))) = ((u * x) \ z) * (K(y \ u,u \ y) / z). [para(3036(a,1),15205(a,1,2,2))]. given #13634 (H,wt=29): 15207 ((x * y) \ z) * (K(u \ x,x \ u) / z) = y \ (((u \ z) * (1 / z)) * (u / x)). [para(4436(a,1),15206(a,1,2)),flip(a)]. given #13635 (H,wt=27): 15208 ((x * y) \ z) * (K(u \ x,x \ u) / z) = y \ (K(u \ z,z \ u) / x). [para(14797(a,1),15207(a,2,2))]. given #13636 (H,wt=30): 15209 T((x / y) / z,a(z,y,x \ 1) \ 1) = (y * (x \ 1)) \ (K(x \ y,y \ x) / z). [hyper(14791,a,15208,a)]. given #13637 (H,wt=28): 15210 T((x / y) / z,a(z,y,x \ 1) \ 1) = ((x \ 1) \ ((x \ 1) * (x / y))) / z. [hyper(228,a,10361,a(flip),b,15209,a)]. given #13638 (H,wt=20): 15211 T((x / y) / z,a(z,y,x \ 1) \ 1) = (x / y) / z. [para(13(a,1),15210(a,2,1))]. given #13639 (H,wt=20): 15213 (x / (y * z)) / ((x / z) / y) = a(y,z,x \ 1) \ 1. [para(15211(a,1),13199(a,1,2))]. given #13640 (H,wt=32): 15214 (a(x,y,z \ 1) \ 1) \ (a(x,y,z \ 1) \ 1) = K(x \ (z / y),a(x,y,z \ 1) \ 1). [para(15213(a,1),14432(a,1,2))]. given #13641 (H,wt=16): 15215 K(x \ (y / z),a(x,z,y \ 1) \ 1) = 1. [hyper(149,a,15214,a),flip(a)]. given #13642 (H,wt=20): 15217 ((x / y) / z) * ((x / (z * y)) \ 1) = a(z,y,x \ 1). [para(15215(a,1),15056(a,1,2,2))]. given #13643 (H,wt=17): 15218 a((x / y) / z,z,y) \ 1 = a(z,y,x \ 1). [hyper(228,a,14936,a(flip),b,15217,a(flip)),flip(a)]. given #13644 (H,wt=29): 15220 a(x \ (y / z),T(x,x \ (y / z)),z) \ 1 = a(T(x,x \ (y / z)),z,y \ 1). [para(199(a,1),15218(a,1,1,1))]. given #13645 (H,wt=29): 15221 a(x \ (y / z),T(x,x \ (y / z)),z) \ 1 = a(T(x,x \ (z \ y)),z,y \ 1). [hyper(228,a,14982,a(flip),b,15220,a)]. given #13646 (H,wt=23): 15222 a(T(x,x \ (y \ z)),y,z \ 1) = a(x \ (z / y),x,y) \ 1. [para(15174(a,1),15221(a,1,1)),flip(a)]. given #13647 (H,wt=21): 15223 a(T(x,y \ z),y,z \ 1) = a(x \ (z / y),x,y) \ 1. [hyper(228,a,14985,a(flip),b,15222,a(flip)),flip(a)]. given #13648 (H,wt=17): 15224 a(x \ (y / z),x,z) \ 1 = a(x,z,y \ 1). [hyper(228,a,14984,a(flip),b,15223,a(flip))]. given #13649 (H,wt=23): 15225 K(x,a(y \ (z / u),y,u) \ x) = K(x,x * a(y,u,z \ 1)). [para(15224(a,1),5371(a,1,2,2)),flip(a)]. given #13650 (H,wt=21): 15228 K(x,x * a(y,z,u \ 1)) = a(y \ (u / z),y,K(z,x)). [hyper(13297,a,15225,a),flip(a)]. given #13651 (H,wt=21): 15229 K(x,x * a(y,z,u \ 1)) = a(y \ (z \ u),y,K(z,x)). [hyper(228,a,15123,a(flip),b,15228,a)]. given #13652 (H,wt=19): 15230 K(x,x * a(y,z,u \ 1)) = a(z,y,K(u \ y,x)). [hyper(228,a,14564,a(flip),b,15229,a)]. given #13653 (H,wt=17): 15231 a(x,y,K(z \ 1,u)) = a(y,u,K(z \ u,x)). [hyper(13038,a,15230,a)]. given #13654 (H,wt=15): 15232 a(x,y,K(z \ y,u)) = a(u,x,K(y,z)). [hyper(13080,a,15231,a),flip(a)]. given #13655 (H,wt=27): 15226 a(x,y,K(z,(y * x) \ (u / K(x,z)))) \ 1 = a(y * x,K(x,z),u \ 1). [para(13005(a,1),15224(a,1,1))]. given #13656 (H,wt=27): 15227 a(x * (y / K(z,u)),x \ 1,K(z,u)) \ 1 = a(x \ 1,K(z,u),y \ 1). [para(13108(a,1),15224(a,1,1))]. given #13657 (H,wt=27): 15233 a(x,y,K(z,(y * x) \ (u * K(z,x)))) \ 1 = a(y * x,K(x,z),u \ 1). [para(5063(a,1),15226(a,1,1,3,2,2))]. given #13658 (H,wt=23): 15235 a(x,y,K(z,(y * x) \ u)) \ 1 = a(y * x,K(x,z),u \ 1). [para(8627(a,1),15233(a,1,1,3))]. given #13659 (H,wt=21): 15237 a(x * y,K(y,z),u \ 1) = a(y,x,K(u \ x,z)) \ 1. [para(14565(a,1),15235(a,1,1)),flip(a)]. given #13660 (H,wt=19): 15238 a(x * y,K(y,z),u \ 1) = a(z,y,K(x,u)) \ 1. [para(15232(a,1),15237(a,2,1))]. given #13661 (H,wt=17): 15239 a(x * y,K(y,z),u \ 1) = a(u,y,K(x,z)). [hyper(69,a,15238,a,b,14353,a(flip)),flip(a)]. given #13662 (H,wt=15): 15240 a(x,K(y,z),u \ 1) = a(u,y,K(x,z)). [hyper(228,a,15156,a(flip),b,15239,a(flip)),flip(a)]. given #13663 (H,wt=27): 15234 a(x * (y * K(z,u)),x \ 1,K(u,z)) \ 1 = a(x \ 1,K(u,z),y \ 1). [para(5063(a,1),15227(a,1,1,1,2))]. given #13664 (H,wt=25): 15241 a(x,y,K(y * (z * K(u,x)),u)) \ 1 = a(y \ 1,K(x,u),z \ 1). [para(14991(a,1),15234(a,1,1))]. given #13665 (H,wt=21): 15242 a(x \ 1,K(y,z),u \ 1) = a(y,x,K(x * u,z)) \ 1. [para(7263(a,1),15241(a,1,1,3)),flip(a)]. given #13666 (H,wt=19): 15244 a(x \ 1,K(y,z),u \ 1) = a(x,K(z,y),u) \ 1. [para(15103(a,1),15242(a,2,1))]. given #13667 (H,wt=19): 15245 a(x \ 1,K(y,z),u \ 1) = a(x,K(y,z),u) * 1. [hyper(228,a,15006,a(flip),b,15244,a)]. given #13668 (H,wt=20): 15246 a(x \ 1,K(y,z),u \ 1) != w | a(x,K(y,z),u) = w. [para(15245(a,2),81(a,1)),flip(b)]. given #13669 (H,wt=15): 15247 a(x,y,K(z \ 1,u)) = a(z,K(y,u),x). [hyper(15246,a,15240,a),flip(a)]. given #13670 (H,wt=13): 15248 a(x,K(y,z),u) = a(u,y,K(z,x)). [hyper(13080,a,15247,a),flip(a)]. -------- Proof 1 -------- "aK2_eq_aK3". ============================== PROOF ================================= % Proof 1 at 2401.03 (+ 149.52) seconds: "aK2_eq_aK3". % Length of proof is 12994. % Level of proof is 709. % Maximum clause weight is 62.000. % Given clauses 13670 (19.281 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 a(x,K(y,z),u) = a(x,y,K(u,z)) # label("aK2_eq_aK3") # label(non_clause) # label(goal). [goal]. 11 1 * x = x. [assumption]. 12 x * 1 = x. [assumption]. 13 x \ (x * y) = y. [assumption]. 14 x * (x \ y) = y. [assumption]. 15 (x * y) / y = x. [assumption]. 16 (x / y) * y = x. [assumption]. 17 x * y != z | x * u != z | u = y. [clausify(1)]. 18 x * y != z | u * y != z | u = x. [clausify(2)]. 19 x * y != x * z | y = z. [clausify(3)]. 20 x * y != z * y | x = z. [clausify(4)]. 21 x != y | z * x = z * y. [assumption]. 22 x != y | x * z = y * z. [assumption]. 23 (x * (y * z)) \ ((x * y) * z) = a(x,y,z) # label("associator"). [assumption]. 24 a(x,y,z) = (x * (y * z)) \ ((x * y) * z). [copy(23),flip(a)]. 25 (x * y) \ (y * x) = K(y,x) # label("commutator"). [assumption]. 26 K(x,y) = (y * x) \ (x * y). [copy(25),flip(a)]. 27 (x * y) \ (x * (y * z)) = L(z,y,x). [assumption]. 28 L(x,y,z) = (z * y) \ (z * (y * x)). [copy(27),flip(a)]. 29 ((x * y) * z) / (y * z) = R(x,y,z). [assumption]. 30 R(x,y,z) = ((x * y) * z) / (y * z). [copy(29),flip(a)]. 31 x \ (y * x) = T(y,x). [assumption]. 32 T(x,y) = y \ (x * y). [copy(31),flip(a)]. 33 a(x,y,z) != 1 | L(z,y,x) = z. [clausify(5)]. 34 L(x,y,z) != x | a(z,y,x) = 1. [clausify(6)]. 35 T(x,y) != x | T(y,x) = y. [clausify(7)]. 36 T(x,y) != x | K(x,y) = 1. [clausify(8)]. 37 K(x,y) != 1 | T(x,y) = x. [clausify(9)]. 38 T(T(x,y),z) = T(T(x,z),y). [assumption]. 39 T(L(x,y,z),u) = L(T(x,u),y,z). [assumption]. 40 L(T(x,y),z,u) = T(L(x,z,u),y). [copy(39),flip(a)]. 41 T(R(x,y,z),u) = R(T(x,u),y,z). [assumption]. 42 R(T(x,y),z,u) = T(R(x,z,u),y). [copy(41),flip(a)]. 43 L(R(x,y,z),u,w) = R(L(x,u,w),y,z). [assumption]. 44 R(L(x,y,z),u,w) = L(R(x,u,w),y,z). [copy(43),flip(a)]. 45 L(L(x,y,z),u,w) = L(L(x,u,w),y,z). [assumption]. 46 R(R(x,y,z),u,w) = R(R(x,u,w),y,z). [assumption]. 47 x * ((y * x) \ 1) = y \ 1 # label("WIP"). [assumption]. 48 a(c1,K(c2,c3),c4) != a(c1,c2,K(c4,c3)) # label("aK2_eq_aK3") # answer("aK2_eq_aK3"). [deny(10)]. 49 (1 * x) * 1 = x. [para(12(a,2),11(a,1))]. 50 x * (1 * 1) = x. [para(11(a,2),12(a,1,2))]. 51 1 \ x = x. [para(11(a,1),13(a,1,2))]. 52 x \ x = 1. [para(12(a,1),13(a,1,2))]. 53 x \ (x * (y \ (y * z))) = z. [para(13(a,2),13(a,1))]. 54 (x * (x \ 1)) * y = y. [para(14(a,2),11(a,1,1))]. 55 x * (y * (y \ 1)) = x. [para(14(a,2),12(a,1,2))]. 56 x \ (y * (y \ (x * z))) = z. [para(14(a,2),13(a,1,2))]. 57 x * (y * (y \ (x \ z))) = z. [para(14(a,2),14(a,1,2))]. 58 x / x = 1. [para(11(a,1),15(a,1,1))]. 59 x / 1 = x. [para(12(a,1),15(a,1,1))]. 60 x * (((x \ y) * z) / z) = y. [para(15(a,2),14(a,1,2))]. 61 x / (y \ x) = y. [para(14(a,1),15(a,1,1))]. 62 ((1 / x) * x) * y = y. [para(16(a,2),11(a,1,1))]. 63 x * ((1 / y) * y) = x. [para(16(a,2),12(a,1,2))]. 64 (x / y) \ x = y. [para(16(a,1),13(a,1,2))]. 65 (x \ (x * (y / z))) * z = y. [para(13(a,2),16(a,1,1))]. 66 ((x * (x \ y)) / z) * z = y. [para(16(a,2),14(a,1))]. 67 (((x * y) / z) * z) / y = x. [para(16(a,2),15(a,1,1))]. 68 (((x / y) / z) * z) * y = x. [para(16(a,2),16(a,1,1))]. 69 x != y | 1 * z != y | z = x. [para(11(a,1),17(a,1))]. 70 x != y | x * z != y | 1 = z. [para(12(a,1),17(a,1)),flip(c)]. 71 x != y | z * u != y | z \ x = u. [para(14(a,1),17(a,1)),flip(c)]. 72 x != y | z * u != y | x / u = z. [para(16(a,1),18(a,1)),flip(c)]. 73 1 * x != y | y = x. [para(11(a,1),19(a,1)),flip(a)]. 74 1 * x != y | x = y. [para(11(a,1),19(a,2))]. 75 (x * y) * 1 != x * z | z = y. [para(12(a,2),19(a,2)),flip(a)]. 77 x * y != z | x \ z = y. [para(14(a,1),19(a,1)),flip(a)]. 78 x * (x \ (y * z)) != y * u | u = z. [para(14(a,2),19(a,2)),flip(a)]. 79 (x / y) * z != x | z = y. [para(16(a,1),19(a,2))]. 81 x * 1 != y | y = x. [para(12(a,1),20(a,1)),flip(a)]. 82 x * 1 != y | x = y. [para(12(a,1),20(a,2))]. 83 x \ (x * (y * z)) != u * z | u = y. [para(13(a,2),20(a,2)),flip(a)]. 84 x * (y \ z) != z | x = y. [para(14(a,1),20(a,2))]. 85 x * y != z | z / y = x. [para(16(a,1),20(a,1)),flip(a)]. 86 x * (y * (y \ z)) = x * z. [hyper(21,a,14,a)]. 87 ((x / y) * y) * z = x * z. [hyper(22,a,16,a)]. 88 (x * (x \ y)) * z = y * z. [hyper(22,a,14,a)]. 89 (x * (y * z)) * a(x,y,z) = (x * y) * z. [para(24(a,2),14(a,1,2))]. 90 (x * ((x \ y) * z)) \ (y * z) = a(x,x \ y,z). [para(14(a,1),24(a,2,2,1)),flip(a)]. 91 (x * y) \ ((x * (y / z)) * z) = a(x,y / z,z). [para(16(a,1),24(a,2,1,2)),flip(a)]. 92 ((x / y) * (y * z)) \ (x * z) = a(x / y,y,z). [para(16(a,1),24(a,2,2,1)),flip(a)]. 93 (x * y) * K(y,x) = y * x. [para(26(a,2),14(a,1,2))]. 94 x \ ((y \ x) * y) = K(y \ x,y). [para(14(a,1),26(a,2,1)),flip(a)]. 95 ((x \ y) * x) \ y = K(x,x \ y). [para(14(a,1),26(a,2,2)),flip(a)]. 96 x \ (y * (x / y)) = K(y,x / y). [para(16(a,1),26(a,2,1)),flip(a)]. 97 (x * (y / x)) \ y = K(y / x,x). [para(16(a,1),26(a,2,2)),flip(a)]. 98 (x * 1) \ (x * y) = L(y,1,x). [para(11(a,1),28(a,2,2,2)),flip(a)]. 99 (x * y) \ (x * y) = L(1,y,x). [para(12(a,1),28(a,2,2,2)),flip(a)]. 100 (x * y) * L(z,y,x) = x * (y * z). [para(28(a,2),14(a,1,2))]. 101 x \ (y * ((y \ x) * z)) = L(z,y \ x,y). [para(14(a,1),28(a,2,1)),flip(a)]. 102 L(x \ y,x,z) = (z * x) \ (z * y). [para(14(a,1),28(a,2,2,2))]. 103 x \ ((x / y) * (y * z)) = L(z,y,x / y). [para(16(a,1),28(a,2,1)),flip(a)]. 104 L(x,y / x,z) = (z * (y / x)) \ (z * y). [para(16(a,1),28(a,2,2,2))]. 105 ((x * 1) * y) / y = R(x,1,y). [para(11(a,1),30(a,2,2)),flip(a)]. 106 (x * y) / (y * 1) = R(x,y,1). [para(12(a,1),30(a,2,1)),flip(a)]. 107 R(x,x \ y,z) = (y * z) / ((x \ y) * z). [para(14(a,1),30(a,2,1,1))]. 108 R(x,y,(x * y) \ z) = z / (y * ((x * y) \ z)). [para(14(a,1),30(a,2,1))]. 109 R(x,y,z) * (y * z) = (x * y) * z. [para(30(a,2),16(a,1,1))]. 110 R(x / y,y,z) = (x * z) / (y * z). [para(16(a,1),30(a,2,1,1))]. 111 ((x * (y / z)) * z) / y = R(x,y / z,z). [para(16(a,1),30(a,2,2)),flip(a)]. 112 T(x,x) = x. [para(32(a,2),13(a,1))]. 113 x * T(y,x) = y * x. [para(32(a,2),14(a,1,2))]. 114 T(x,x \ y) = (x \ y) \ y. [para(14(a,1),32(a,2,2))]. 115 T(x / y,y) = y \ x. [para(16(a,1),32(a,2,2))]. 116 T(T(T(x,y),z),u) = T(T(T(x,u),y),z). [para(38(a,1),38(a,1,1)),flip(a)]. 117 T(T(R(x,y,z),u),w) = T(R(T(x,w),y,z),u). [para(42(a,2),38(a,1,1)),flip(a)]. 118 (x * y) \ 1 = y \ (x \ 1). [hyper(17,a,14,a,b,47,a)]. 119 (x \ y) * (y \ 1) = x \ 1. [para(14(a,1),47(a,1,2,1))]. 120 (x / y) \ 1 = y * (x \ 1). [para(16(a,1),47(a,1,2,1)),flip(a)]. 122 1 \ (x * 1) = x. [hyper(18,a,12,a,b,51,a(flip)),flip(a)]. 123 (x * (x \ 1)) \ y = y. [para(14(a,2),51(a,1,1))]. 124 ((1 / x) * x) \ y = y. [para(16(a,2),51(a,1,1))]. 126 (x \ x) \ y = y. [para(52(a,2),51(a,1,1))]. 127 x / (y * (y \ 1)) = x. [para(14(a,2),59(a,1,2))]. 128 x / ((1 / y) * y) = x. [para(16(a,2),59(a,1,2))]. 129 T(T(x,y),x) = T(x,y). [para(112(a,1),38(a,1,1)),flip(a)]. 130 T(L(x,y,z),x) = L(x,y,z). [para(112(a,1),40(a,1,1)),flip(a)]. 131 x / 1 = 1 * x. [hyper(18,a,16,a,b,49,a),flip(a)]. 132 x \ x = 1 * 1. [hyper(17,a,14,a,b,50,a),flip(a)]. 133 (x / (y \ x)) * z = y * z. [hyper(22,a,61,a)]. 134 ((x * y) * z) / a(x,y,z) = x * (y * z). [para(24(a,2),61(a,1,2))]. 135 (x * y) / K(x,y) = y * x. [para(26(a,2),61(a,1,2))]. 136 (x * (y * z)) / L(z,y,x) = x * y. [para(28(a,2),61(a,1,2))]. 137 (x * y) / T(x,y) = y. [para(32(a,2),61(a,1,2))]. 138 x / (y / ((z \ x) \ y)) = z. [para(61(a,2),61(a,1,2))]. 139 ((x / y) \ x) * z = y * z. [hyper(22,a,64,a)]. 140 x * ((y / (x \ z)) \ y) = z. [para(64(a,2),14(a,1,2))]. 141 R(x,y,z) \ ((x * y) * z) = y * z. [para(30(a,2),64(a,1,1))]. 142 ((x / (y / z)) \ x) \ y = z. [para(64(a,2),64(a,1,1))]. 143 T(x,1) = x. [para(122(a,1),32(a,2))]. 144 1 \ x = 1 * x. [para(49(a,1),122(a,1,2))]. 145 K(x,1) = 1. [hyper(36,a,143,a)]. 146 T(1,x) = 1. [hyper(35,a,143,a)]. 147 K(1,x) = 1. [hyper(36,a,146,a)]. 148 x / 1 != y | y = x. [para(131(a,2),73(a,1))]. 149 x \ x != y | 1 = y. [para(132(a,2),73(a,1)),flip(b)]. 150 1 \ x != y | y = x. [para(144(a,2),73(a,1))]. 151 ((1 / x) * x) * y != z | y = z. [para(16(a,2),74(a,1,1))]. 152 x / 1 != y | x = y. [para(131(a,2),74(a,1))]. 153 1 \ x != y | x = y. [para(144(a,2),74(a,1))]. 154 x * (y * (y \ 1)) != z | z = x. [para(14(a,2),81(a,1,2))]. 155 x / (y * (y \ 1)) != z | z = x. [para(14(a,2),148(a,1,2))]. 156 x / ((1 / y) * y) != z | z = x. [para(16(a,2),148(a,1,2))]. 157 (x * (x \ 1)) \ y != z | z = y. [para(14(a,2),150(a,1,1))]. 158 ((1 / x) * x) \ y != z | z = y. [para(16(a,2),150(a,1,1))]. 159 R(x,x \ 1,y) = y / ((x \ 1) * y). [para(54(a,1),30(a,2,1))]. 160 x \ ((x * y) * (y \ 1)) = a(x,y,y \ 1). [para(55(a,1),24(a,2,1)),flip(a)]. 161 L(x \ 1,x,y) = (y * x) \ y. [para(55(a,1),28(a,2,2))]. 162 R(1 / x,x,y) = y / (x * y). [para(62(a,1),30(a,2,1))]. 163 x \ ((x * (1 / y)) * y) = a(x,1 / y,y). [para(63(a,1),24(a,2,1)),flip(a)]. 164 L(x,1 / x,y) = (y * (1 / x)) \ y. [para(63(a,1),28(a,2,2))]. 165 T((x * y) / x,x) = y. [hyper(17,a,16,a(flip),b,113,a)]. 166 (x * T(y,x)) / x = y. [hyper(18,a,16,a,b,113,a(flip)),flip(a)]. 167 x \ (y * T(x,y)) = y. [hyper(17,a,14,a,b,113,a(flip)),flip(a)]. 168 (x \ y) * T(x,x \ y) = y. [para(113(a,2),14(a,1))]. 169 x * (y * (y \ T(z,x))) = z * x. [para(14(a,2),113(a,1,2))]. 170 x * T(y / x,x) = y. [para(113(a,2),16(a,1))]. 171 x * y != z | y * u != z | T(x,y) = u. [para(113(a,1),17(a,1)),flip(c)]. 172 x * y != z * x | T(z,x) = y. [para(113(a,1),19(a,1)),flip(a)]. 173 x * T(y,x) != y * z | z = x. [para(113(a,2),19(a,2)),flip(a)]. 174 x * T(y,x) != z * x | z = y. [para(113(a,2),20(a,2)),flip(a)]. 175 (x * (y * z)) \ ((x * z) * T(y,z)) = a(x,z,T(y,z)). [para(113(a,1),24(a,2,1,2)),flip(a)]. 176 (x * (T(y,x) * z)) \ ((y * x) * z) = a(x,T(y,x),z). [para(113(a,1),24(a,2,2,1)),flip(a)]. 177 (x * y) \ (T(x,y) * y) = K(T(x,y),y). [para(113(a,1),26(a,2,1)),flip(a)]. 178 (x * y) \ (y * (T(x,y) * z)) = L(z,T(x,y),y). [para(113(a,1),28(a,2,1)),flip(a)]. 179 (x * y) \ (x * (z * y)) = L(T(z,y),y,x). [para(113(a,1),28(a,2,2,2)),flip(a)]. 180 ((x * y) * z) / (T(x,y) * z) = R(y,T(x,y),z). [para(113(a,1),30(a,2,1,1)),flip(a)]. 181 ((x * y) * T(z,y)) / (z * y) = R(x,y,T(z,y)). [para(113(a,1),30(a,2,2)),flip(a)]. 182 x * T(T(y,x),z) = T(y,z) * x. [para(38(a,1),113(a,1,2))]. 183 x * L(T(y,x),z,u) = L(y,z,u) * x. [para(40(a,2),113(a,1,2))]. 184 x * R(T(y,x),z,u) = R(y,z,u) * x. [para(42(a,2),113(a,1,2))]. 185 T(T(x / y,z),y) = T(y \ x,z). [para(115(a,1),38(a,1,1)),flip(a)]. 186 T(L(x / y,z,u),y) = L(y \ x,z,u). [para(115(a,1),40(a,1,1)),flip(a)]. 187 T(R(x / y,z,u),y) = R(y \ x,z,u). [para(115(a,1),42(a,1,1)),flip(a)]. 188 T(x / (x / y),x / y) = y. [para(115(a,2),64(a,1))]. 189 K(x \ 1,x) = (x \ 1) * x. [para(123(a,1),26(a,2))]. 190 x * ((x \ 1) * y) = L(y,x \ 1,x). [para(123(a,1),28(a,2)),flip(a)]. 191 ((1 / (x * y)) * x) * y = a(1 / (x * y),x,y). [para(124(a,1),24(a,2)),flip(a)]. 192 K(x,1 / x) = x * (1 / x). [para(124(a,1),26(a,2))]. 193 (1 / x) * (x * y) = L(y,x,1 / x). [para(124(a,1),28(a,2)),flip(a)]. 194 (x * y) * (y \ 1) = R(x,y,y \ 1). [para(127(a,1),30(a,2)),flip(a)]. 195 (x * (1 / y)) * y = R(x,1 / y,y). [para(128(a,1),30(a,2)),flip(a)]. 196 T(x,T(x,y)) = x. [hyper(35,a,129,a)]. 197 T(T(T(x,y),z),x) = T(T(x,y),z). [para(129(a,1),38(a,1,1)),flip(a)]. 198 T(x,y) * x = x * T(x,y). [para(129(a,1),113(a,1,2)),flip(a)]. 199 x / T(y,y \ x) = y \ x. [para(14(a,1),137(a,1,1))]. 200 (T(x,y) * z) / T(T(x,z),y) = z. [para(38(a,1),137(a,1,2))]. 201 T(T((x * y) / x,z),x) = T(y,z). [para(165(a,1),38(a,1,1)),flip(a)]. 202 T((x * y) / x,y) = (x * y) / x. [para(165(a,1),196(a,1,2))]. 203 (x * T(T(y,x),z)) / x = T(y,z). [para(38(a,1),166(a,1,1,2))]. 204 x * K(y,z) != y * z | z * y = x. [para(26(a,2),84(a,1,2)),flip(b)]. 205 x * L(y,z,u) != u * (z * y) | u * z = x. [para(28(a,2),84(a,1,2)),flip(b)]. 207 x \ (y * (y \ x)) = 1. [para(12(a,1),56(a,1,2,2,2))]. 208 (x / y) \ (z * (z \ x)) = y. [para(16(a,1),56(a,1,2,2,2))]. 209 x \ ((x * y) * L(z,y,x)) = y * z. [para(28(a,2),56(a,1,2,2))]. 210 x * (x \ y) = y * 1. [para(207(a,1),14(a,1,2)),flip(a)]. 211 x * 1 != y * z | y \ x = z. [para(210(a,1),19(a,1))]. 212 (x / y) * y = x * 1. [para(64(a,1),210(a,1,2))]. 213 x * (x \ y) != z | z = y. [para(210(a,2),81(a,1))]. 214 x * 1 != y * z | x / z = y. [para(212(a,1),20(a,1))]. 215 (x / y) * y != z | z = x. [para(212(a,2),81(a,1))]. 216 (x / y) * y = z * (z \ x). [para(212(a,2),210(a,2)),flip(a)]. 218 (x * y) * L(z,y,x) != u | x * (y * z) = u. [para(28(a,2),213(a,1,2)),flip(b)]. 219 x * T(y,x) != z | y * x = z. [para(32(a,2),213(a,1,2)),flip(b)]. 220 x * y != z | y * T(x,y) = z. [para(167(a,1),213(a,1,2)),flip(b)]. 221 R(x,y,z) * (y * z) != u | (x * y) * z = u. [para(30(a,2),215(a,1,1)),flip(b)]. 222 L(x \ (y \ z),x,y) = (y * x) \ z. [para(57(a,1),28(a,2,2))]. 223 x * (x \ (y * z)) = y * (u * (u \ z)). [para(56(a,1),57(a,1,2,2,2)),flip(a)]. 224 ((x * (x \ y)) / z) \ y = z. [hyper(77,a,66,a)]. 225 ((x / y) * y) / z = x / z. [para(16(a,1),67(a,1,1,1,1))]. 226 R((x / y) / z,z,y) = x / (z * y). [para(68(a,1),30(a,2,1))]. 227 ((x / y) * y) * (x \ z) = z. [para(61(a,1),68(a,1,1,1,1))]. 228 x != y | z != y | z = x. [para(11(a,1),69(b,1))]. 229 (x / y) \ x = z * (z \ y). [hyper(228,a,64,a,b,14,a),flip(a)]. 230 x / (y \ x) = z * (z \ y). [hyper(228,a,61,a,b,14,a),flip(a)]. 231 (x * y) / y = (x / z) * z. [hyper(228,a,16,a,b,15,a)]. 232 (x / y) * y = 1 * x. [hyper(228,a,16,a,b,11,a),flip(a)]. 233 x \ (x * y) = z * (z \ y). [hyper(228,a,14,a,b,13,a)]. 234 1 * x != y * z | x / z = y. [para(232(a,1),20(a,1))]. 235 (x / (y * (y \ z))) * z = x. [hyper(215,a,86,a)]. 236 x * y != z * y | (z / u) * u = x. [para(87(a,1),20(a,2)),flip(b)]. 237 ((x / y) * y) * z != u | x \ u = z. [para(87(a,2),77(a,1))]. 238 (x * (x \ y)) * z != y * u | u = z. [para(88(a,1),19(a,1)),flip(a)]. 239 x * K(y \ x,y) = (y \ x) * y. [hyper(228,a,88,a(flip),b,93,a(flip)),flip(a)]. 240 x * K(y,x / y) = y * (x / y). [hyper(228,a,87,a(flip),b,93,a(flip)),flip(a)]. 241 (x * y) * z != y * x | K(y,x) = z. [para(93(a,1),19(a,1)),flip(a)]. 243 (x * (y * z)) \ (x * (z * y)) = L(K(z,y),y * z,x). [para(93(a,1),28(a,2,2,2)),flip(a)]. 244 (x * y) / (x * K(x,y)) = R(y,x,K(x,y)). [para(93(a,1),30(a,2,1)),flip(a)]. 245 T(x,x \ y) * z = ((x \ y) \ y) * z. [hyper(22,a,114,a)]. 246 x * T(y,y \ z) = x * ((y \ z) \ z). [hyper(21,a,114,a)]. 247 (x \ y) \ y = z * (z \ T(x,x \ y)). [hyper(228,a,14,a,b,114,a(flip))]. 248 T(L(x,y,z),x \ u) = L((x \ u) \ u,y,z). [para(114(a,1),40(a,1,1)),flip(a)]. 249 (x \ y) \ (x \ 1) = y \ 1. [para(14(a,1),118(a,1,1)),flip(a)]. 250 T(x,y) \ (y \ 1) = (x * y) \ 1. [para(113(a,1),118(a,1,1)),flip(a)]. 251 T(x * y,y \ (x \ 1)) = ((x * y) \ 1) \ 1. [para(118(a,1),114(a,1,2))]. 253 T(x \ y,y \ 1) = (y \ 1) \ (x \ 1). [para(119(a,1),32(a,2,2))]. 254 (x \ 1) * ((y \ 1) \ 1) = (y \ x) \ 1. [para(119(a,1),47(a,1,2,1))]. 255 1 / ((x \ y) * (y \ 1)) = x. [para(119(a,2),61(a,1,2))]. 256 (x \ (1 / y)) * y = x \ 1. [para(64(a,1),119(a,1,2))]. 257 (x \ 1) \ ((y \ x) \ 1) = (y \ 1) \ 1. [para(119(a,1),118(a,1,1)),flip(a)]. 258 (x * y) * (((z * x) * y) \ 1) = R(z,x,y) \ 1. [para(30(a,2),120(a,1,1)),flip(a)]. 259 1 / (x * (y \ 1)) = y / x. [para(120(a,1),61(a,1,2))]. 260 T(x,L(x,y,z)) = x. [hyper(35,a,130,a)]. 261 x / K(y,y \ x) = (y \ x) * y. [para(14(a,1),135(a,1,1))]. 262 ((x / y) \ x) * (y \ z) = z. [hyper(228,a,14,a(flip),b,139,a)]. 263 x * (((y / x) \ y) \ z) = z. [hyper(213,a,139,a)]. 264 ((x / y) \ x) * z != u | y \ u = z. [para(139(a,2),77(a,1))]. 265 (x / y) * ((z / y) \ z) = x. [para(64(a,1),140(a,1,2,1,2))]. 266 (x \ y) * z != y | T(x,x \ y) = z. [para(168(a,1),19(a,1)),flip(a)]. 267 L(T(x,x \ y),x \ y,z) = (z * (x \ y)) \ (z * y). [para(168(a,1),28(a,2,2,2))]. 268 T(x / (x / y),(z / (x / y)) \ z) = y. [para(64(a,2),188(a,1,2))]. 269 x * T(x \ 1,x) = K(x \ 1,x). [hyper(228,a,113,a,b,189,a),flip(a)]. 270 K(x \ 1,x) / x = x \ 1. [hyper(85,a,189,a(flip))]. 271 (x \ 1) \ K(x \ 1,x) = x. [hyper(77,a,189,a(flip))]. 272 (K(x \ 1,x) * y) / (x * y) = R(x \ 1,x,y). [para(189(a,2),30(a,2,1,1)),flip(a)]. 273 x \ K(x \ 1,x) = T(x \ 1,x). [para(189(a,2),32(a,2,2)),flip(a)]. 274 K(x,1 / x) \ (x * ((1 / x) * y)) = L(y,1 / x,x). [para(192(a,2),28(a,2,1)),flip(a)]. 276 x * (x \ y) != z * u | y / u = z. [para(208(a,1),84(a,1,2)),flip(a),flip(b)]. 277 (((x / y) * y) / z) \ x = z. [hyper(79,a,216,a(flip))]. 278 x / (y \ ((x / z) * z)) = y. [hyper(18,a,140,a,b,216,a(flip))]. 279 (x / y) * y != z * u | z \ x = u. [para(216(a,2),19(a,1))]. 280 R(x,y,(x * y) \ z) \ z = y * ((x * y) \ z). [para(30(a,2),224(a,1,1))]. 281 R(x / y,y,x \ z) = z / (y * (x \ z)). [para(227(a,1),30(a,2,1))]. 282 ((1 / x) \ y) \ x = y \ 1. [hyper(17,a,119,a,b,229,a(flip))]. 283 (x / y) \ x != z | z = y. [para(229(a,2),213(a,1))]. 284 x \ (x * y) != z | z = y. [para(15(a,1),283(a,1,1))]. 285 x \ (y * x) != z | T(y,x) = z. [para(137(a,1),283(a,1,1)),flip(b)]. 286 (x * y) \ (y * x) != z | K(y,x) = z. [para(135(a,1),283(a,1,1)),flip(b)]. 288 x \ (y \ 1) != z | (y * x) \ 1 = z. [para(47(a,1),284(a,1,2)),flip(b)]. 289 x \ y != z | T(y / x,x) = z. [para(170(a,1),284(a,1,2)),flip(b)]. 291 (x \ y) \ (x \ 1) != z | y \ 1 = z. [para(119(a,1),284(a,1,2)),flip(b)]. 292 (x * (x \ y)) \ z = y \ z. [para(230(a,1),64(a,1,1))]. 293 x / (y \ x) != z | z = y. [para(230(a,2),213(a,1))]. 294 (x * (x \ y)) \ z != u | y \ z = u. [para(230(a,1),283(a,1,1)),flip(b)]. 295 (x * y) / y != z | z = x. [para(13(a,1),293(a,1,2))]. 296 (x * (y * z)) / L(z,y,x) != u | x * y = u. [para(28(a,2),293(a,1,2)),flip(b)]. 298 (x * T(y,x)) / x != z | z = y. [para(167(a,1),293(a,1,2))]. 299 (x * y) / y != z * u | x / u = z. [para(231(a,2),20(a,1))]. 300 ((x / y) * y) * z != u | x * z = u. [para(231(a,1),215(a,1,1)),flip(b)]. 302 x * (y * (y \ z)) != u | x * z = u. [para(233(a,1),213(a,1,2)),flip(b)]. 303 R(x,y,y \ z) * z = (x * y) * (y \ z). [para(30(a,2),235(a,1,1))]. 304 (x \ 1) / y = x \ (1 / y). [hyper(85,a,256,a)]. 305 T(x \ (1 / y),y) = y \ (x \ 1). [para(256(a,1),32(a,2,2))]. 306 (x \ (1 / y)) \ 1 = y * ((x \ 1) \ 1). [para(256(a,1),47(a,1,2,1)),flip(a)]. 307 (x \ 1) / y != z | x \ (1 / y) = z. [para(256(a,1),295(a,1,1)),flip(b)]. 308 (1 / x) / y = 1 / (y * x). [para(64(a,1),259(a,1,2,2)),flip(a)]. 309 1 / (x * T(y,y \ 1)) = (y \ 1) / x. [para(114(a,2),259(a,1,2,2))]. 310 1 / (x * (y \ (z \ 1))) = (z * y) / x. [para(118(a,1),259(a,1,2,2))]. 311 (x / y) \ 1 != z | y * (x \ 1) = z. [para(259(a,1),283(a,1,1)),flip(b)]. 312 ((x \ y) \ y) * (T(x,x \ y) \ z) = z. [para(199(a,1),262(a,1,1,1))]. 313 x * ((y / z) \ y) != u | u / z = x. [para(265(a,1),20(a,1)),flip(a)]. 314 (x / T(y,y \ z)) * ((y \ z) \ z) = x. [para(199(a,1),265(a,1,2,1))]. 315 (x \ 1) * x != y | K(x \ 1,x) = y. [para(270(a,1),215(a,1,1)),flip(b)]. 316 x / L(y,z,x / (z * y)) = (x / (z * y)) * z. [para(28(a,2),278(a,1,2))]. 317 x / (y \ 1) = (1 / x) \ y. [para(282(a,1),61(a,1,2))]. 318 ((1 / x) \ y) \ 1 = (y \ 1) * (x \ 1). [para(282(a,1),119(a,1,1)),flip(a)]. 319 x / (y \ 1) != z | (1 / x) \ y = z. [para(282(a,1),293(a,1,2)),flip(b)]. 320 (1 / x) \ (1 / y) = x / y. [para(64(a,1),304(a,1,1)),flip(a)]. 321 (1 / (x * y)) * x = 1 / y. [para(308(a,1),16(a,1,1))]. 322 T(1 / (x * y),x) = x \ (1 / y). [para(308(a,1),115(a,1,1))]. 323 1 / ((x \ 1) * y) = (1 / (1 / y)) \ x. [hyper(228,a,308,a(flip),b,317,a(flip)),flip(a)]. 324 x / (y \ (z \ 1)) = (1 / x) \ (z * y). [para(118(a,1),317(a,1,2))]. 325 x / (y * (z \ 1)) = (1 / x) \ (z / y). [para(120(a,1),317(a,1,2))]. 326 1 / (x \ y) = (1 / y) * x. [para(14(a,1),321(a,1,1,2)),flip(a)]. 327 ((1 / (x * y)) * (x * z)) \ ((1 / y) * z) = a(1 / (x * y),x,z). [para(321(a,1),24(a,2,2,1)),flip(a)]. 328 (1 / (x * y)) * y = 1 / T(x,y). [para(113(a,1),321(a,1,1,2))]. 330 ((1 / x) * y) \ (1 / z) = (y \ x) / z. [para(326(a,1),320(a,1,1))]. 331 x * y != x * z | z = y. [para(12(a,1),75(a,1))]. 332 x \ (x * y) = L(y,1,x). [para(12(a,1),98(a,1,1))]. 333 L(x,1,y) = x. [hyper(284,a,332,a)]. 334 L(x,1,y) != z | z = x. [para(332(a,1),284(a,1))]. 336 L(1,x,y) = 1. [hyper(149,a,99,a),flip(a)]. 338 a(x,y,1) = 1. [hyper(34,a,336,a)]. 339 (x * y) / y = R(x,1,y). [para(12(a,1),105(a,1,1,1))]. 340 R(x,1,y) = x. [hyper(295,a,339,a)]. 343 (x * y) / y = R(x,y,1). [para(12(a,1),106(a,1,2))]. 344 R(x,y,1) = x. [hyper(295,a,343,a)]. 347 R(x,y,y \ 1) != z | (x * y) * (y \ 1) = z. [para(30(a,2),155(a,1)),flip(b)]. 348 K(x \ 1,x) != y | (x \ 1) * x = y. [para(26(a,2),157(a,1)),flip(b)]. 349 K(x,1 / x) != y | x * (1 / x) = y. [para(26(a,2),158(a,1)),flip(b)]. 350 L(x,y,1 / y) != z | (1 / y) * (y * x) = z. [para(28(a,2),158(a,1)),flip(b)]. 351 L((x \ y) \ 1,x \ y,x) = y \ x. [hyper(228,a,292,a(flip),b,161,a)]. 352 L(x \ 1,x,1 / x) = 1 / x. [hyper(228,a,124,a(flip),b,161,a)]. 353 x * L(y \ 1,y,z) = x * ((z * y) \ z). [hyper(21,a,161,a)]. 354 (x * y) * L(y \ 1,y,x) = x. [para(161(a,2),14(a,1,2))]. 355 L(x \ 1,x,y / x) = y \ (y / x). [para(16(a,1),161(a,2,1))]. 356 T((x * y) \ x,z) = L(T(y \ 1,z),y,x). [para(161(a,1),40(a,2,1)),flip(a)]. 357 R((x * y) \ x,z,u) = L(R(y \ 1,z,u),y,x). [para(161(a,1),44(a,1,1))]. 358 L(L(x \ 1,y,z),x,u) = L((u * x) \ u,y,z). [para(161(a,1),45(a,1,1)),flip(a)]. 359 x / L(y \ 1,y,x) = x * y. [para(161(a,2),61(a,1,2))]. 360 R(1 / x,x,x \ 1) = x \ 1. [hyper(228,a,127,a(flip),b,162,a)]. 361 R(1 / x,x,x \ y) = (x \ y) / y. [para(14(a,1),162(a,2,2))]. 362 R(1 / (x / y),x / y,y) = y / x. [para(16(a,1),162(a,2,2))]. 363 T(x / (y * x),z) = R(T(1 / y,z),y,x). [para(162(a,1),42(a,2,1)),flip(a)]. 364 R(R(1 / x,y,z),x,u) = R(u / (x * u),y,z). [para(162(a,1),46(a,1,1)),flip(a)]. 365 R(1 / x,x,y) \ y = x * y. [para(162(a,2),64(a,1,1))]. 366 x \ (x * (y * z)) != z * u | T(y,z) = u. [para(13(a,2),172(a,2)),flip(a)]. 367 T(x,y) * z != x * y | T(y,T(x,y)) = z. [para(113(a,1),172(a,2))]. 369 ((x / y) * y) * z != z * u | T(x,z) = u. [para(87(a,2),172(a,2)),flip(a)]. 372 x * T(T(y,x),z) != u * x | T(y,z) = u. [para(38(a,1),174(a,1,2)),flip(b)]. 373 x * (y * (y \ 1)) != z * u | z \ x = u. [para(14(a,2),211(a,1,2))]. 374 x * (x \ y) != z * u | z \ y = u. [para(210(a,2),211(a,1))]. 376 (x / y) * y != z * u | x / u = z. [para(212(a,2),214(a,1))]. 377 x * T(T(y,x),z) != u | T(y,z) * x = u. [para(38(a,1),219(a,1,2))]. 378 x * L(T(y,x),z,u) != w | L(y,z,u) * x = w. [para(40(a,2),219(a,1,2))]. 379 x * R(T(y,x),z,u) != w | R(y,z,u) * x = w. [para(42(a,2),219(a,1,2))]. 381 ((1 / x) * x) * y != z * u | y / u = z. [para(16(a,2),234(a,1,1))]. 382 T(x,y) \ (x * y) != z | T(y,T(x,y)) = z. [para(113(a,1),285(a,1,2))]. 383 (x \ 1) \ (y \ 1) != z | T(y \ x,x \ 1) = z. [para(119(a,1),285(a,1,2))]. 384 x \ (1 / y) != z | T(1 / (x * y),x) = z. [para(321(a,1),285(a,1,2))]. 385 L(T(x \ 1,y),x,1 / x) = T(1 / x,y). [para(352(a,1),40(a,2,1))]. 386 L(L(x \ 1,x,y),y * x,z) = (z * (y * x)) \ (z * y). [para(354(a,1),28(a,2,2,2))]. 387 (x * y) \ x != z | L(y \ 1,y,x) = z. [para(354(a,1),284(a,1,2)),flip(b)]. 388 x / L(y,1 / y,x) = x * (1 / y). [para(64(a,1),359(a,1,2,1))]. 389 ((x * y) \ x) * (L(y \ 1,y,x) \ z) = z. [para(359(a,1),262(a,1,1,1))]. 390 L(x \ 1,x,y) * (((y * x) \ y) \ z) = z. [para(359(a,1),263(a,1,2,1,1))]. 391 R(x,x \ 1,y) \ y = (x \ 1) * y. [para(61(a,1),365(a,1,1,1))]. 392 x / (y * x) != z | R(1 / y,y,x) = z. [para(365(a,1),293(a,1,2)),flip(b)]. 393 x \ T(y,y \ z) = x \ ((y \ z) \ z). [hyper(71,a,114,a,b,14,a)]. 394 (x * y) \ R(x,y,y \ 1) = y \ 1. [hyper(71,a,30,a,b,127,a(flip))]. 395 (1 / x) \ L(y,x,1 / x) = x * y. [hyper(71,a,28,a,b,124,a(flip))]. 396 x \ L(y,x \ 1,x) = (x \ 1) * y. [hyper(71,a,28,a,b,123,a(flip))]. 397 R(x,y,y \ 1) / (y \ 1) = x * y. [hyper(72,a,30,a,b,127,a(flip))]. 398 ((x * y) \ x) / L(y \ 1,y,x) = 1. [hyper(72,a,161,a(flip),b,11,a)]. 399 K(x,y) = (y * x) \ ((y \ (y * x)) * y). [para(13(a,1),94(a,2,1)),flip(a)]. 400 x \ (y * T(y \ x,y)) = K(y \ x,y). [para(113(a,2),94(a,1,2))]. 402 x \ ((x \ 1) \ 1) = K(x,x \ 1). [hyper(228,a,118,a(flip),b,95,a(flip)),flip(a)]. 403 x * K(x,x \ 1) = (x \ 1) \ 1. [para(95(a,1),47(a,1,2))]. 404 K(x \ 1,x) \ 1 = K(x,x \ 1). [para(189(a,2),95(a,1,1))]. 405 L(x \ T(y,z),x,z) = (z * x) \ (y * z). [para(169(a,1),28(a,2,2))]. 406 T(x,y) * z != z * u | T(T(x,z),y) = u. [para(182(a,1),19(a,1))]. 407 x * T(x \ (y * x),z) = T(y,z) * x. [para(32(a,1),182(a,1,2,1))]. 408 x * T(T(T(y,x),z),u) = T(T(y,z),u) * x. [para(38(a,1),182(a,1,2,1))]. 409 T(x / y,z) * y = y * T(y \ x,z). [para(115(a,1),182(a,1,2,1)),flip(a)]. 410 T((x * y) / x,z) * x = x * T(y,z). [para(165(a,1),182(a,1,2,1)),flip(a)]. 411 (x \ y) * T((x \ y) \ y,z) = T(x,z) * (x \ y). [para(114(a,1),182(a,1,2,1))]. 412 (x * T(x \ y,z)) / x = T(y / x,z). [para(185(a,1),166(a,1,1,2))]. 413 x * T(x \ y,z) != u | T(y / x,z) * x = u. [para(185(a,1),219(a,1,2))]. 414 (x * T(x \ y,z)) / x != u | T(y / x,z) = u. [para(185(a,1),298(a,1,1,2)),flip(b)]. 415 T(x,T(T(x,y),z)) = x. [hyper(35,a,197,a)]. 416 K(x,T(T(x,y),z)) = 1. [hyper(36,a,415,a)]. 417 (x * T(y,z)) / x = T((x * y) / x,z). [para(201(a,1),166(a,1,1,2))]. 418 T((((x * y) / x) \ z) \ z,x) = T(y,((x * y) / x) \ z). [para(114(a,1),201(a,1,1))]. 419 x * T(y,z) != u * x | T((x * y) / x,z) = u. [para(201(a,1),174(a,1,2)),flip(b)]. 420 (x * T(y,z)) / x != u | T((x * y) / x,z) = u. [para(201(a,1),298(a,1,1,2)),flip(b)]. 421 T(x,(y * x) / y) = x. [hyper(35,a,202,a)]. 422 ((x / y) * T(y,z)) / (x / y) = T(x / (x / y),z). [para(188(a,1),203(a,1,1,2,1))]. 423 (x \ y) * x != y * z | K(x \ y,x) = z. [para(239(a,1),19(a,1))]. 424 (x * y) \ (x * ((z \ y) * z)) = L(K(z \ y,z),y,x). [para(239(a,1),28(a,2,2,2)),flip(a)]. 425 x \ ((y \ x) * y) != z | K(y \ x,y) = z. [para(239(a,1),284(a,1,2)),flip(b)]. 426 K(x \ y,x) * z != (x \ y) * x | T(y,K(x \ y,x)) = z. [para(239(a,1),172(a,2))]. 428 x \ (y * (x / y)) != z | K(y,x / y) = z. [para(240(a,1),284(a,1,2)),flip(b)]. 429 T(x,y) \ (y \ 1) = y \ (x \ 1). [hyper(228,a,118,a(flip),b,250,a)]. 430 1 / K(x,x \ 1) = K(x \ 1,x). [hyper(228,a,189,a,b,261,a)]. 432 x * K(x,x \ 1) = T(x,x \ 1). [hyper(228,a,114,a,b,403,a)]. 433 x \ ((x \ 1) \ 1) != y | K(x,x \ 1) = y. [para(403(a,1),284(a,1,2)),flip(b)]. 434 (K(x \ 1,x) * y) \ 1 = y \ K(x,x \ 1). [hyper(71,a,404,a(flip),b,47,a),flip(a)]. 436 (x * y) * L(z,y,x) != x * u | y * z = u. [para(28(a,2),78(a,1,2)),flip(b)]. 437 x * y != z * u | z \ (x * y) = u. [para(56(a,1),78(a,1,2)),flip(b)]. 438 x \ (x * y) != z * u | y / u = z. [para(16(a,1),83(a,1,2,2)),flip(b)]. 439 (x * y) / L(z \ y,z,x) = x * z. [hyper(72,a,86,a(flip),b,100,a)]. 440 L(x \ T(y * x,y),x,y) = y. [hyper(17,a,169,a(flip),b,100,a)]. 441 x * L(y,z \ x,z) = z * ((z \ x) * y). [hyper(228,a,88,a(flip),b,100,a(flip)),flip(a)]. 442 x * L(y,z,x / z) = (x / z) * (z * y). [hyper(228,a,87,a(flip),b,100,a(flip)),flip(a)]. 443 (x * (y * z)) / T(x * y,L(z,y,x)) = L(z,y,x). [hyper(72,a,100,a(flip),b,113,a)]. 444 L(x,y,z) \ (z * (y * x)) = T(z * y,L(x,y,z)). [hyper(71,a,100,a(flip),b,113,a)]. 445 (x * y) * z != x * (y * u) | L(u,y,x) = z. [para(100(a,1),19(a,1)),flip(a)]. 446 (x * (y * z)) \ ((x * y) * (L(z,y,x) * u)) = L(u,L(z,y,x),x * y). [para(100(a,1),28(a,2,1)),flip(a)]. 447 (x * (y * z)) \ (x * (y * (z * u))) = L(L(u,z,y),y * z,x). [para(100(a,1),28(a,2,2,2)),flip(a)]. 448 ((x * (y * z)) * u) / (L(z,y,x) * u) = R(x * y,L(z,y,x),u). [para(100(a,1),30(a,2,1,1)),flip(a)]. 449 (x * (y * z)) / (y * L(z,y,x)) = R(x,y,L(z,y,x)). [para(100(a,1),30(a,2,1)),flip(a)]. 450 (x * y) * T(L(z,y,x),u) = x * (y * T(z,u)). [para(40(a,1),100(a,1,2))]. 451 (x * y) * R(L(z,y,x),u,w) = x * (y * R(z,u,w)). [para(44(a,2),100(a,1,2))]. 452 (x * y) * L(L(z,y,x),u,w) = x * (y * L(z,u,w)). [para(45(a,1),100(a,1,2))]. 453 (x * y) * L(z,T(x,y),y) = y * (T(x,y) * z). [para(113(a,1),100(a,1,1))]. 454 (x * (y * z)) * K(L(z,y,x),x * y) = L(z,y,x) * (x * y). [para(100(a,1),93(a,1,1))]. 455 K(x \ 1,x) * L(y,x,x \ 1) = (x \ 1) * (x * y). [para(189(a,2),100(a,1,1))]. 456 (x * y) \ (x * (y * z)) != u | L(z,y,x) = u. [para(100(a,1),284(a,1,2)),flip(b)]. 458 L((x \ y) \ z,x \ y,x) = y \ (x * z). [hyper(228,a,292,a(flip),b,102,a)]. 459 L(x \ y,x,1 / x) = (1 / x) * y. [hyper(228,a,124,a(flip),b,102,a)]. 460 L((x \ 1) \ y,x \ 1,x) = x * y. [hyper(228,a,123,a(flip),b,102,a)]. 461 L(x \ ((y * x) / y),x,y) = K(y,(y * x) / y). [hyper(228,a,96,a(flip),b,102,a)]. 462 L(x \ y,x,z / x) = z \ ((z / x) * y). [para(16(a,1),102(a,2,1))]. 463 (x * (y * (z * u))) \ (x * ((y * z) * u)) = L(a(y,z,u),y * (z * u),x). [para(24(a,2),102(a,1,1)),flip(a)]. 464 T((x * y) \ (x * z),u) = L(T(y \ z,u),y,x). [para(102(a,1),40(a,2,1)),flip(a)]. 465 L(T(x,y) \ z,T(x,y),y) = (x * y) \ (y * z). [para(113(a,1),102(a,2,1))]. 466 L(K(x,y) \ z,K(x,y),y * x) = (x * y) \ ((y * x) * z). [para(93(a,1),102(a,2,1))]. 467 L(x \ (1 / y),x,y) = (y * x) \ K(y,1 / y). [para(192(a,2),102(a,2,2))]. 468 L((x \ 1) \ y,x \ 1,x) != z | x * y = z. [para(102(a,2),157(a,1)),flip(b)]. 469 L(L(x,y,z) \ u,L(x,y,z),z * y) = (z * (y * x)) \ ((z * y) * u). [para(100(a,1),102(a,2,1))]. 470 L(x \ L(y,z,u),x,u * z) = ((u * z) * x) \ (u * (z * y)). [para(100(a,1),102(a,2,2))]. 471 R(x / y,y,x \ z) \ z = y * (x \ z). [hyper(71,a,227,a(flip),b,109,a)]. 472 R(x,x \ y,z) \ (y * z) = (x \ y) * z. [hyper(71,a,88,a(flip),b,109,a)]. 473 R(x / y,y,z) \ (x * z) = y * z. [hyper(71,a,87,a(flip),b,109,a)]. 474 (R(x,y,z) * y) \ ((x * y) * z) = L(z,y,R(x,y,z)). [hyper(71,a,109,a(flip),b,100,a)]. 475 R(x,y / z,z) * y = (x * (y / z)) * z. [para(16(a,1),109(a,1,2))]. 476 (x * y) * z != u * (y * z) | R(x,y,z) = u. [para(109(a,1),20(a,1))]. 478 ((x * y) * z) \ ((y * z) * R(x,y,z)) = K(y * z,R(x,y,z)). [para(109(a,1),26(a,2,1)),flip(a)]. 479 (((x * y) * z) * u) / ((y * z) * u) = R(R(x,y,z),y * z,u). [para(109(a,1),30(a,2,1,1)),flip(a)]. 480 ((x * R(y,z,u)) * (z * u)) / ((y * z) * u) = R(x,R(y,z,u),z * u). [para(109(a,1),30(a,2,2)),flip(a)]. 481 T(R(x,y,z),u) * (y * z) = (T(x,u) * y) * z. [para(42(a,1),109(a,1,1))]. 482 L(R(x,y,z),u,w) * (y * z) = (L(x,u,w) * y) * z. [para(44(a,1),109(a,1,1))]. 483 R(R(x,y,z),u,w) * (y * z) = (R(x,u,w) * y) * z. [para(46(a,1),109(a,1,1))]. 484 R(x,y,T(z,y)) * (z * y) = (x * y) * T(z,y). [para(113(a,1),109(a,1,2))]. 485 ((x * y) * z) * K(y * z,R(x,y,z)) = (y * z) * R(x,y,z). [para(109(a,1),93(a,1,1))]. 486 R(x,y * z,K(z,y)) * (z * y) = (x * (y * z)) * K(z,y). [para(93(a,1),109(a,1,2))]. 487 R(x,y \ 1,y) * K(y \ 1,y) = (x * (y \ 1)) * y. [para(189(a,2),109(a,1,2))]. 488 R(x,y,1 / y) * K(y,1 / y) = (x * y) * (1 / y). [para(192(a,2),109(a,1,2))]. 489 ((x * y) * z) / (y * z) != u | R(x,y,z) = u. [para(109(a,1),295(a,1,1)),flip(b)]. 490 (R(x,y,z) * (y * z)) / z != u | x * y = u. [para(109(a,2),295(a,1,1)),flip(b)]. 491 (x * y) * (y \ 1) != z | R(x,y,y \ 1) = z. [para(109(a,1),154(a,1)),flip(b)]. 493 R(x,R(y,z,u),z * u) * ((y * z) * u) = (x * R(y,z,u)) * (z * u). [para(109(a,1),109(a,1,2))]. 494 R(x / (1 / y),1 / y,y) = x * y. [hyper(228,a,128,a(flip),b,110,a)]. 495 R(x / y,y,y \ 1) = x * (y \ 1). [hyper(228,a,127,a(flip),b,110,a)]. 496 R(x / y,y,y \ z) = (x * (y \ z)) / z. [para(14(a,1),110(a,2,2))]. 497 R(x / (y / z),y / z,z) = (x * z) / y. [para(16(a,1),110(a,2,2))]. 498 T((x * y) / (z * y),u) = R(T(x / z,u),z,y). [para(110(a,1),42(a,2,1)),flip(a)]. 499 T(R(x / y,y,z),y * z) = (y * z) \ (x * z). [para(110(a,2),115(a,1,1))]. 500 R(x / T(y,z),T(y,z),y) = (x * y) / (y * T(y,z)). [para(198(a,1),110(a,2,2))]. 501 R(x / (1 / y),1 / y,y) != z | x * y = z. [para(110(a,2),156(a,1)),flip(b)]. 502 R(R(1 / x,x,y),x * y,z) = (y * z) / ((x * y) * z). [para(162(a,2),110(a,1,1))]. 503 R(R(x,y,z) / u,u,y * z) = ((x * y) * z) / (u * (y * z)). [para(109(a,1),110(a,2,1))]. 504 R(x / R(y,z,u),R(y,z,u),z * u) = (x * (z * u)) / ((y * z) * u). [para(109(a,1),110(a,2,2))]. 505 R(R(x / y,y,z),y * z,u) = ((x * z) * u) / ((y * z) * u). [para(110(a,2),110(a,1,1))]. 506 (x * y) / L(z,y / z,x) = x * (y / z). [para(16(a,1),136(a,1,1,2))]. 507 (x * (y * z)) / L(T(y,z),z,x) = x * z. [para(113(a,1),136(a,1,1,2))]. 508 (x * (y * z)) / L(K(y,z),z * y,x) = x * (z * y). [para(93(a,1),136(a,1,1,2))]. 509 R(x,T(y,x),z) \ ((y * x) * z) = T(y,x) * z. [para(113(a,1),141(a,1,2,1))]. 510 R(x * y,K(y,x),z) \ ((y * x) * z) = K(y,x) * z. [para(93(a,1),141(a,1,2,1))]. 511 R(x,K(y \ x,y),z) \ (((y \ x) * y) * z) = K(y \ x,y) * z. [para(239(a,1),141(a,1,2,1))]. 512 R(x * y,L(z,y,x),u) \ ((x * (y * z)) * u) = L(z,y,x) * u. [para(100(a,1),141(a,1,2,1))]. 513 K(x,1 / x) \ x = L(x,1 / x,x). [para(192(a,2),164(a,2,1)),flip(a)]. 514 x \ L(L(y,x \ 1,x),z,u) = (x \ 1) * L(y,z,u). [hyper(71,a,45,a,b,190,a)]. 515 x \ T(L(y,x \ 1,x),z) = (x \ 1) * T(y,z). [hyper(71,a,40,a(flip),b,190,a)]. 516 (1 / L(x,y \ 1,y)) * y = 1 / ((y \ 1) * x). [para(190(a,1),321(a,1,1,2))]. 517 (1 / x) \ L(L(y,x,1 / x),z,u) = x * L(y,z,u). [hyper(71,a,45,a,b,193,a)]. 518 L(T(x,y),y,1 / y) = (1 / y) * (x * y). [para(113(a,1),193(a,1,2)),flip(a)]. 519 (1 / x) \ L(y,x,1 / x) != z | x * y = z. [para(193(a,1),284(a,1,2)),flip(b)]. 520 L(R(x,y,y \ 1),z,u) / (y \ 1) = L(x,z,u) * y. [hyper(72,a,44,a(flip),b,194,a)]. 521 T(R(x,y,y \ 1),z) / (y \ 1) = T(x,z) * y. [hyper(72,a,42,a(flip),b,194,a)]. 522 R(R(x,1 / y,y),z,u) / y = R(x,z,u) * (1 / y). [hyper(72,a,46,a,b,195,a)]. 523 L(R(x,1 / y,y),z,u) / y = L(x,z,u) * (1 / y). [hyper(72,a,44,a(flip),b,195,a)]. 524 T(R(x,1 / y,y),z) / y = T(x,z) * (1 / y). [hyper(72,a,42,a(flip),b,195,a)]. 526 L(T(x \ (y \ z),u),x,y) = T((y * x) \ z,u). [para(222(a,1),40(a,2,1))]. 527 L(R(x \ (y \ z),u,w),x,y) = R((y * x) \ z,u,w). [para(222(a,1),44(a,1,1)),flip(a)]. 528 L(L(x \ (y \ z),u,w),x,y) = L((y * x) \ z,u,w). [para(222(a,1),45(a,1,1)),flip(a)]. 529 L(x,(y \ z) / x,y) = (y * ((y \ z) / x)) \ z. [para(64(a,1),222(a,1,1))]. 530 x * ((x \ y) * z) != y * u | L(z,x \ y,x) = u. [para(100(a,1),238(a,1)),flip(b)]. 533 x * (y * (y \ z)) != u * w | (x * z) / w = u. [para(233(a,1),276(a,1,2))]. 536 ((x / y) * y) * z != u * w | u \ (x * z) = w. [para(231(a,1),279(a,1,1))]. 537 (x * y) / y != z * u | z \ x = u. [para(231(a,2),279(a,1))]. 540 (((x * y) / z) * z) / y != u * w | x / w = u. [para(16(a,2),299(a,1,1))]. 542 (x * (x \ y)) * z != u | y * z = u. [para(61(a,1),300(a,1,1,1))]. 546 x / y != z | (1 / x) \ (1 / y) = z. [para(64(a,1),307(a,1,1))]. 547 x / (y \ (z \ 1)) != u | (1 / x) \ (z * y) = u. [para(118(a,1),319(a,1,2))]. 548 x / (y * (z \ 1)) != u | (1 / x) \ (z / y) = u. [para(120(a,1),319(a,1,2))]. 550 T((x \ y) \ 1,y \ x) = (x \ y) \ 1. [para(351(a,1),260(a,1,2))]. 551 T(x \ (x / y),z) = L(T(y \ 1,z),y,x / y). [para(355(a,1),40(a,2,1)),flip(a)]. 552 (x / y) \ (L(y \ 1,y,x / y) * x) = K(x \ (x / y),x). [para(355(a,2),94(a,1,2,1))]. 553 T((x \ y) / y,z) = R(T(1 / x,z),x,x \ y). [para(361(a,1),42(a,2,1)),flip(a)]. 554 R(R(1 / x,x,x \ y),y,z) = ((x \ y) * z) / (y * z). [para(361(a,2),110(a,1,1))]. 555 x * (y * (y \ (x \ z))) != u * w | u \ z = w. [para(14(a,2),374(a,1,2))]. 558 x * (y * (y \ z)) != u * w | u \ (x * z) = w. [para(233(a,1),374(a,1,2))]. 559 (((x / y) / z) * z) * y != u * w | x / w = u. [para(16(a,2),376(a,1,1))]. 560 ((x / y) * y) * z != u * w | (x * z) / w = u. [para(231(a,1),376(a,1,1))]. 562 x / ((y \ 1) * x) != z | R(y,y \ 1,x) = z. [para(391(a,1),293(a,1,2)),flip(b)]. 563 x * ((x \ 1) * y) != z | L(y,x \ 1,x) = z. [para(396(a,1),213(a,1,2)),flip(b)]. 564 (x * (x \ y)) * z != u * w | u \ (y * z) = w. [para(88(a,2),437(a,1))]. 566 (x * y) \ x != z * u | L(y \ 1,y,x) / u = z. [para(354(a,1),438(a,1,2))]. 567 R(x,y,z) \ ((x * y) * z) != u * w | (y * z) / w = u. [para(109(a,1),438(a,1,2))]. 568 (x * y) \ (x * z) != u | L(y \ z,y,x) = u. [para(439(a,1),283(a,1,1)),flip(b)]. 569 L(T(x \ y,z),x,1 / x) = T((1 / x) * y,z). [para(459(a,1),40(a,2,1))]. 570 L(R(x \ y,z,u),x,1 / x) = R((1 / x) * y,z,u). [para(459(a,1),44(a,1,1)),flip(a)]. 571 L(T((x \ 1) \ y,z),x \ 1,x) = T(x * y,z). [para(460(a,1),40(a,2,1))]. 572 L(R((x \ 1) \ y,z,u),x \ 1,x) = R(x * y,z,u). [para(460(a,1),44(a,1,1)),flip(a)]. 573 R(T(x / (1 / y),z),1 / y,y) = T(x * y,z). [para(494(a,1),42(a,2,1))]. 574 R(T(x / y,z),y,y \ 1) = T(x * (y \ 1),z). [para(495(a,1),42(a,2,1))]. 575 R(R(x / y,z,u),y,y \ 1) = R(x * (y \ 1),z,u). [para(495(a,1),46(a,1,1)),flip(a)]. 576 K(x,1 / x) * L(x,1 / x,x) = x. [para(513(a,1),14(a,1,2))]. 579 ((x / y) \ x) * z != u | y * z = u. [para(229(a,2),542(a,1,1))]. 580 (x / (y \ x)) * z != u | y * z = u. [para(230(a,2),542(a,1,1))]. 581 K(x,1 / x) * y != x | L(x,1 / x,x) = y. [para(576(a,1),19(a,1)),flip(a)]. 582 x * T(T(T(y,x),z),u) != w | T(T(y,z),u) * x = w. [para(116(a,1),219(a,1,2))]. 583 T(x / y,(z / y) \ z) = y \ x. [hyper(171,a,265,a,b,262,a)]. 584 x * (y * T(z,x * y)) = L(z,y,x) * (x * y). [hyper(228,a,100,a(flip),b,183,a(flip)),flip(a)]. 586 x * L(x \ (y * x),z,u) = L(y,z,u) * x. [para(32(a,1),183(a,1,2,1))]. 587 x * L(R(T(y,x),z,u),w,v5) = L(R(y,z,u),w,v5) * x. [para(42(a,2),183(a,1,2,1))]. 588 L(x / y,z,u) * y = y * L(y \ x,z,u). [para(115(a,1),183(a,1,2,1)),flip(a)]. 589 L(T(x,y),z,u) * x = x * L(T(x,y),z,u). [para(129(a,1),183(a,1,2,1)),flip(a)]. 590 L((x * y) / x,z,u) * x = x * L(y,z,u). [para(165(a,1),183(a,1,2,1)),flip(a)]. 591 (x \ y) * L((x \ y) \ y,z,u) = L(x,z,u) * (x \ y). [para(114(a,1),183(a,1,2,1))]. 592 L(L(x,y,z),u,w) * x = x * L(L(x,y,z),u,w). [para(130(a,1),183(a,1,2,1)),flip(a)]. 594 (x * y) * R(T(z,x * y),x,y) = (z * x) * y. [hyper(228,a,109,a(flip),b,184,a)]. 595 (x * y) \ ((z * x) * y) = R(T(z,x * y),x,y). [hyper(71,a,109,a(flip),b,184,a)]. 597 R(x,y,z) * x = x * R(x,y,z). [para(112(a,1),184(a,1,2,1)),flip(a)]. 598 R(x / y,z,u) * y = y * R(y \ x,z,u). [para(115(a,1),184(a,1,2,1)),flip(a)]. 599 R(T(x,y),z,u) * x = x * R(T(x,y),z,u). [para(129(a,1),184(a,1,2,1)),flip(a)]. 600 R((x * y) / x,z,u) * x = x * R(y,z,u). [para(165(a,1),184(a,1,2,1)),flip(a)]. 601 (x \ y) * R((x \ y) \ y,z,u) = R(x,z,u) * (x \ y). [para(114(a,1),184(a,1,2,1))]. 602 T(x,R(x,y,z)) = x. [hyper(172,a,597,a)]. 603 (x * L(x \ y,z,u)) / x = L(y / x,z,u). [para(186(a,1),166(a,1,1,2))]. 604 (x * R(x \ y,z,u)) / x = R(y / x,z,u). [para(187(a,1),166(a,1,1,2))]. 605 T(x / (y * x),y) = R(y \ 1,y,x). [para(162(a,1),187(a,1,1))]. 606 x * R(x \ y,z,u) != w | R(y / x,z,u) * x = w. [para(187(a,1),219(a,1,2))]. 607 R(x \ 1,x,x \ 1) = T(x \ 1,x). [para(360(a,1),187(a,1,1)),flip(a)]. 608 T((x * y) / (z * y),z) = R(z \ x,z,y). [para(110(a,1),187(a,1,1))]. 609 R(x \ (y / z),x,z) = T(y / (x * z),x). [para(226(a,1),187(a,1,1)),flip(a)]. 610 R(x \ y,x,x \ 1) = T(y * (x \ 1),x). [para(495(a,1),187(a,1,1)),flip(a)]. 611 (x / (y * x)) * y = y * R(y \ 1,y,x). [para(605(a,1),113(a,1,2)),flip(a)]. 612 ((x \ y) \ y) \ (T(x,x \ y) * z) = z. [hyper(437,a,245,a)]. 613 (T(x,x \ y) * z) \ (((x \ y) \ y) * (z * u)) = L(u,z,T(x,x \ y)). [hyper(71,a,245,a(flip),b,100,a)]. 614 (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) = K(z,(x \ y) \ y). [para(245(a,2),26(a,2,1)),flip(a)]. 615 (T(x,x \ y) * z) \ (((x \ y) \ y) * (z * u)) = L(u,z,(x \ y) \ y). [para(245(a,2),28(a,2,1)),flip(a)]. 616 (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) != u | K(z,(x \ y) \ y) = u. [para(245(a,2),286(a,1,1))]. 618 x / T(y,y \ z) = x / ((y \ z) \ z). [hyper(376,a,246,a),flip(a)]. 619 (x / ((y \ z) \ z)) * T(y,y \ z) = x. [hyper(228,a,16,a(flip),b,246,a)]. 620 (x * T(y,y \ z)) / ((y \ z) \ z) = x. [hyper(72,a,246,a,b,xx)]. 621 (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) = K(z,T(x,x \ y)). [hyper(71,a,246,a(flip),b,93,a)]. 624 x \ ((y \ z) \ z) != u | x \ T(y,y \ z) = u. [para(247(a,2),284(a,1,2)),flip(b)]. 626 (x \ 1) * T(y,y \ 1) = (y \ x) \ 1. [hyper(228,a,246,a,b,254,a(flip)),flip(a)]. 627 (x * (y \ 1)) * ((z \ 1) \ 1) = (z \ (y / x)) \ 1. [para(120(a,1),254(a,1,1))]. 628 (x \ 1) * ((y * (z \ 1)) \ 1) = ((z / y) \ x) \ 1. [para(120(a,1),254(a,1,2,1))]. 629 (x \ 1) * ((y \ 1) \ 1) != z | (y \ x) \ 1 = z. [para(257(a,1),213(a,1,2)),flip(b)]. 630 1 / (x * T(y,y \ 1)) = y \ (1 / x). [hyper(228,a,304,a(flip),b,309,a)]. 631 (((1 / x) * y) \ z) \ 1 = (z \ 1) * ((y \ x) \ 1). [para(326(a,1),318(a,1,1,1))]. 632 1 / ((x \ (y \ 1)) * z) = (1 / (1 / z)) \ (y * x). [para(118(a,1),323(a,1,2,1))]. 633 1 / ((x * (y \ 1)) * z) = (1 / (1 / z)) \ (y / x). [para(120(a,1),323(a,1,2,1))]. 634 x / (y \ (z \ (u \ 1))) = (1 / x) \ ((u * z) * y). [para(118(a,1),324(a,1,2,2))]. 635 T(x \ ((1 / 1) \ (y * z)),z \ (y \ 1)) = (z \ (y \ 1)) \ (x \ 1). [para(324(a,1),305(a,1,1,2))]. 636 (1 / ((x * y) * (z \ 1))) \ (z / y) = R(x,y,z \ 1). [hyper(228,a,30,a,b,325,a(flip))]. 637 x / (y * (z * (u \ 1))) = (1 / x) \ ((u / z) / y). [para(120(a,1),325(a,1,2,2))]. 638 ((1 / x) * y) \ ((1 / z) * u) = (y \ x) / (u \ z). [para(326(a,1),330(a,1,2))]. 640 T(x,y) / (x * y) != z | R(1 / y,y,T(x,y)) = z. [para(113(a,1),392(a,1,2))]. 641 (1 / x) / K(x,1 / x) != y | R(1 / x,x,1 / x) = y. [para(192(a,2),392(a,1,2))]. 642 ((x \ y) \ y) / T(z,z \ T(x,x \ y)) = z \ ((x \ y) \ y). [para(393(a,2),199(a,1,2,2))]. 643 K(x \ (x * y),x) = K(y,x). [hyper(228,a,94,a(flip),b,399,a),flip(a)]. 644 K(x \ (x * y),z) = K(y,z). [para(53(a,1),643(a,1,1)),flip(a)]. 645 K((x / y) \ x,z) = K(y,z). [para(16(a,1),644(a,1,1,2))]. 646 T(x / y,z) * y != u | y * T(y \ x,z) = u. [para(412(a,1),215(a,1,1)),flip(b)]. 647 T(x / y,y) != z | y \ x = z. [para(412(a,1),298(a,1)),flip(b)]. 648 T(x,x \ y) != z | (x \ y) \ y = z. [para(61(a,1),647(a,1,1))]. 649 R(T(x,R(x,y,z) \ u),y,z) != w | (R(x,y,z) \ u) \ u = w. [para(42(a,2),648(a,1))]. 650 T(x \ y,T(x,x \ y)) != z | ((x \ y) \ y) \ y = z. [para(114(a,2),648(a,1,2))]. 651 T((x \ y) * x,K(x,x \ y)) != z | (((x \ y) * x) \ y) \ y = z. [para(95(a,1),648(a,1,2))]. 652 x * ((y * T(z,x)) / y) = ((y * z) / y) * x. [para(417(a,2),113(a,1,2))]. 653 T((x * (y / z)) / x,z) = (x * (z \ y)) / x. [para(115(a,1),417(a,1,1,2)),flip(a)]. 654 T((x * y) / x,z) * x != u | x * T(y,z) = u. [para(417(a,1),215(a,1,1)),flip(b)]. 655 x / T(y,y \ z) != u | x / ((y \ z) \ z) = u. [para(619(a,1),295(a,1,1)),flip(b)]. 657 ((x * (y \ 1)) * T(z,z \ 1)) / ((z \ y) \ 1) = R(x,y \ 1,T(z,z \ 1)). [para(626(a,1),30(a,2,2)),flip(a)]. 658 T(x,x \ 1) \ ((y \ 1) \ 1) = ((x \ y) \ 1) \ 1. [para(626(a,1),118(a,1,1)),flip(a)]. 659 (x \ (y \ 1)) * T(z,z \ 1) = (z \ (y * x)) \ 1. [para(118(a,1),626(a,1,1))]. 660 (x * y) / a(z,z \ x,y) = z * ((z \ x) * y). [hyper(72,a,88,a(flip),b,89,a)]. 661 (x * y) * a(x,z,z \ y) = (x * z) * (z \ y). [para(14(a,1),89(a,1,1,2))]. 662 (x * (y * z)) * a(x,z,T(y,z)) = (x * z) * T(y,z). [para(113(a,1),89(a,1,1,2))]. 663 (x * (y * z)) \ ((x * y) * z) != u | a(x,y,z) = u. [para(89(a,1),284(a,1,2)),flip(b)]. 664 ((x * y) * z) * a(R(x,y,z),y,z) = (R(x,y,z) * y) * z. [para(109(a,1),89(a,1,1))]. 665 L(T(x,y),y,z / y) = z \ ((z / y) * (x * y)). [para(113(a,1),103(a,1,2,2)),flip(a)]. 666 L(L(x,y,z),z * y,u / (z * y)) = u \ ((u / (z * y)) * (z * (y * x))). [para(100(a,1),103(a,1,2,2)),flip(a)]. 667 R(x,x \ y,(x \ y) \ z) = (y * ((x \ y) \ z)) / z. [para(14(a,1),107(a,2,2))]. 668 R(x,x \ y,y \ z) \ z = (x \ y) * (y \ z). [para(107(a,2),224(a,1,1))]. 669 R(x,x \ (y / z),z) \ y = (x \ (y / z)) * z. [para(107(a,2),277(a,1,1))]. 670 x \ R(x,y,y \ 1) = a(x,y,y \ 1). [para(194(a,1),160(a,1,2))]. 671 x * a(x,y,y \ 1) = R(x,y,y \ 1). [para(670(a,1),14(a,1,2))]. 672 x \ R(x,1 / y,y) = a(x,1 / y,y). [para(195(a,1),163(a,1,2))]. 673 L(T(x,y),y,x) = T(x,x * y). [hyper(285,a,179,a),flip(a)]. 674 (x * y) \ (x * (z * y)) = T(L(z,y,x),y). [hyper(228,a,40,a(flip),b,179,a)]. 675 L(T(x,y \ z),y \ z,y) != u | z \ (y * (x * (y \ z))) = u. [para(179(a,1),294(a,1))]. 676 T(L(x,y,x),y) = T(x,x * y). [hyper(228,a,40,a(flip),b,673,a(flip)),flip(a)]. 677 L(R(T(x,y),z,u),y,x) = R(T(x,x * y),z,u). [para(673(a,1),44(a,1,1)),flip(a)]. 678 x * T(y,y * x) = L(y,x,y) * x. [para(673(a,1),183(a,1,2))]. 679 (x * y) * R(L(T(x,y),y,x),z,u) = R(x,z,u) * (x * y). [para(673(a,2),184(a,1,2,1))]. 680 T(L(L(x,y,x),z,u),y) = L(T(x,x * y),z,u). [para(676(a,1),40(a,1,1)),flip(a)]. 681 (x * T(y,y * x)) / x = L(y,x,y). [para(676(a,1),166(a,1,1,2))]. 682 x * L(T(y,y * x),z,u) = L(L(y,x,y),z,u) * x. [para(676(a,1),183(a,1,2,1))]. 683 T((x * y) / x,y * x) = L(y,x,y). [hyper(18,a,410,a,b,678,a(flip)),flip(a)]. 684 L(x,x \ y,x) * (x \ y) = (x \ y) * T(x,y). [para(14(a,1),678(a,1,2,2)),flip(a)]. 686 L(x,T(y,x),x) * T(y,x) = T(y,x) * T(x,y * x). [para(113(a,1),678(a,1,2,2)),flip(a)]. 687 ((x \ y) * T(x,y)) / (x \ y) = L(x,x \ y,x). [para(14(a,1),681(a,1,1,2,2))]. 688 T(((x \ y) * x) / (x \ y),y) = L(x,x \ y,x). [para(14(a,1),683(a,1,2))]. 689 T(T((x * y) / x,z),y * x) = T(L(y,x,y),z). [para(683(a,1),38(a,1,1)),flip(a)]. 690 (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(244(a,1),409(a,1,1,1)),flip(a)]. 691 L(R(x,y,y \ z),u,w) * z = (L(x,u,w) * y) * (y \ z). [para(44(a,1),303(a,1,1))]. 692 (x * y) * T((x * y) \ x,z) = x * (y * T(y \ 1,z)). [para(356(a,2),100(a,1,2))]. 693 T(x / (y * x),z) * (y * x) = (T(1 / y,z) * y) * x. [para(363(a,2),109(a,1,1))]. 694 x * ((T(y,x) \ z) \ z) != u * x | T(y,T(y,x) \ z) = u. [para(114(a,1),372(a,1,2))]. 695 x * T(x \ (y * x),z) != u | T(y,z) * x = u. [para(32(a,1),377(a,1,2,1))]. 697 L(T(x \ 1,x),x,1 / x) = x \ 1. [hyper(228,a,115,a(flip),b,385,a)]. 698 (1 / x) \ T(1 / x,y) = x * T(x \ 1,y). [hyper(71,a,385,a(flip),b,193,a)]. 700 L(x \ 1,x,y) \ (z * ((y * x) \ y)) = T(z,(y * x) \ y). [hyper(172,a,389,a),flip(a)]. 701 K(x,y) = L(x \ T(x,y),x,y). [hyper(228,a,26,a,b,405,a),flip(a)]. 702 L(T(x \ T(y,z),u),x,z) = T((z * x) \ (y * z),u). [para(405(a,1),40(a,2,1))]. 703 L(x \ T(x,y),x,y) != z | K(x,y) = z. [para(405(a,2),286(a,1))]. 704 x * ((x \ y) * T(z,y)) = L(z,x \ y,x) * y. [hyper(228,a,183,a(flip),b,441,a(flip))]. 705 x \ (L(y,x \ z,x) * z) = (x \ z) * T(y,z). [hyper(71,a,183,a(flip),b,441,a(flip))]. 706 x * L(L(y,z \ x,z),u,w) = z * ((z \ x) * L(y,u,w)). [para(45(a,1),441(a,1,2))]. 707 x \ (y * ((y \ x) * z)) != u | L(z,y \ x,y) = u. [para(441(a,1),284(a,1,2)),flip(b)]. 708 L(x \ y,x,y / x) = T(y / x,y). [hyper(171,a,86,a(flip),b,442,a),flip(a)]. 709 (x / y) * (y * T(z,x)) = L(z,y,x / y) * x. [hyper(228,a,183,a(flip),b,442,a(flip))]. 710 (x / y) \ (L(z,y,x / y) * x) = y * T(z,x). [hyper(71,a,183,a(flip),b,442,a(flip))]. 711 x * L(L(y,z,x / z),u,w) = (x / z) * (z * L(y,u,w)). [para(45(a,1),442(a,1,2))]. 712 L(T((x \ y) \ z,u),x \ y,x) = T(y \ (x * z),u). [para(458(a,1),40(a,2,1))]. 713 L(R((x \ y) \ z,u,w),x \ y,x) = R(y \ (x * z),u,w). [para(458(a,1),44(a,1,1)),flip(a)]. 714 R(x,T(y,x),(y * x) \ z) \ z = T(y,x) * ((y * x) \ z). [para(137(a,1),471(a,1,1,1))]. 715 (x * y) / ((z \ x) * y) != u | R(z,z \ x,y) = u. [para(472(a,1),293(a,1,2)),flip(b)]. 716 T(R(x / y,y,y \ z),z) = z \ (x * (y \ z)). [para(496(a,2),115(a,1,1))]. 717 R(T(x / (y / z),u),y / z,z) = T((x * z) / y,u). [para(497(a,1),42(a,2,1))]. 718 R(R(x / (y / z),u,w),y / z,z) = R((x * z) / y,u,w). [para(497(a,1),46(a,1,1)),flip(a)]. 719 R(x / R(1 / y,y,z),z / (y * z),y * z) = (x * (y * z)) / z. [para(162(a,2),497(a,1,1,2))]. 720 R((x / y) \ z,x / y,y) = T((z * y) / x,x / y). [para(497(a,1),187(a,1,1)),flip(a)]. 721 (x * y) \ (x * (z * y)) != u | L(T(z,y),y,x) = u. [para(507(a,1),283(a,1,1)),flip(b)]. 722 (1 / x) * ((x \ 1) * x) = x \ 1. [hyper(228,a,697,a(flip),b,518,a(flip))]. 723 (x * (1 / x)) \ 1 = (x \ 1) * x. [hyper(17,a,47,a,b,722,a),flip(a)]. 724 (1 / (1 / x)) * (x * (1 / x)) = (1 / x) \ 1. [para(64(a,1),722(a,1,2,1))]. 725 (1 / x) * K(x \ 1,x) = x \ 1. [para(189(a,2),722(a,1,2))]. 726 K(1 / x,x) / x = x \ 1. [hyper(72,a,97,a(flip),b,723,a(flip))]. 727 K((x \ 1) \ 1,x \ 1) = x \ ((x \ 1) \ 1). [hyper(71,a,725,a(flip),b,133,a(flip)),flip(a)]. 728 (x * (y \ 1)) / L(K(y \ 1,y),1 / y,x) = x * (1 / y). [para(725(a,1),136(a,1,1,2))]. 729 R(x,y,z) = T(((y * x) * z) / (y * z),y). [para(13(a,1),608(a,2,1)),flip(a)]. 730 T(x / (y * z),y) * (y * z) = ((y \ (x / z)) * y) * z. [para(609(a,1),109(a,1,1))]. 731 T((x * y) * (x \ 1),x) = R(y,x,x \ 1). [para(13(a,1),610(a,1,1)),flip(a)]. 732 (x / y) * R((x / y) \ 1,x / y,y) = (y / x) * (x / y). [para(16(a,1),611(a,1,1,2)),flip(a)]. 733 (x * R(x \ 1,x,y)) \ (x * (y / (x * y))) != z | K(x,y / (x * y)) = z. [para(611(a,1),286(a,1,1))]. 734 T(L(x,y,z / y),y) = z \ ((z / y) * (x * y)). [para(16(a,1),674(a,1,1)),flip(a)]. 735 (((x * y) * z) / (x * z)) * x = x * R(y,x,z). [para(729(a,2),113(a,1,2)),flip(a)]. 736 T(R(x,y,x),y * x) = T(x,y). [para(729(a,2),201(a,1,1))]. 737 R(x,y,x) * (y * x) = (y * x) * T(x,y). [para(729(a,2),410(a,1,1))]. 738 R(T(x,y * x),y,x) = T(x,y). [hyper(228,a,42,a,b,736,a(flip)),flip(a)]. 739 T(R(x,y,x),z) * (y * x) = (y * x) * T(T(x,y),z). [para(736(a,1),182(a,1,2,1)),flip(a)]. 740 L(R(x,y,x),z,u) * (y * x) = (y * x) * L(T(x,y),z,u). [para(736(a,1),183(a,1,2,1)),flip(a)]. 741 R(R(x,y,x),z,u) * (y * x) = (y * x) * R(T(x,y),z,u). [para(736(a,1),184(a,1,2,1)),flip(a)]. 742 R(T(x,y),y / x,x) = T(x,y / x). [para(16(a,1),738(a,1,1,2))]. 743 (T(x,y * x) * y) * x = T(x,y) * (y * x). [para(738(a,1),109(a,1,1)),flip(a)]. 744 R(x,1 / x,x) = T(x,1 / x). [para(143(a,1),742(a,1,1))]. 745 T(x,1 / x) / x = x * (1 / x). [hyper(72,a,744,a(flip),b,195,a)]. 746 R(R(x,y,z),1 / x,x) = R(T(x,1 / x),y,z). [para(744(a,1),46(a,1,1)),flip(a)]. 747 T(x,1 / x) / x = K(x,1 / x). [hyper(228,a,192,a,b,745,a)]. 748 (x * R(y,x,x \ 1)) / x = (x * y) * (x \ 1). [para(731(a,1),166(a,1,1,2))]. 750 (x * y) * T(y,x) = (y * x) * y. [hyper(228,a,109,a(flip),b,737,a(flip))]. 751 (x * (y / x)) * x = y * T(x,y / x). [hyper(300,a,750,a),flip(a)]. 752 (x * (y / x)) \ (y * (y / x)) = T(y / x,x). [hyper(71,a,87,a(flip),b,750,a)]. 753 R(T(T(x,y),z),u,w) = T(T(R(x,u,w),z),y). [hyper(228,a,42,a,b,117,a),flip(a)]. 755 (x * y) * R(L(z,y,x),u,w) != v5 | x * (y * R(z,u,w)) = v5. [para(44(a,2),218(a,1,2))]. 756 (x * y) * L(L(z,y,x),u,w) != v5 | x * (y * L(z,u,w)) = v5. [para(45(a,1),218(a,1,2))]. 762 R(x,y,T(z,y)) * (z * y) != u | (x * y) * T(z,y) = u. [para(113(a,1),221(a,1,2))]. 764 T(x * y,y \ (x \ 1)) = (y \ (x \ 1)) \ 1. [para(118(a,1),251(a,2,1))]. 765 x / L(y,z,x / (z * y)) != u | (x / (z * y)) * z = u. [para(16(a,1),296(a,1,1))]. 766 (x * y) * (K(y,x) * z) != (y * x) * u | L(z,K(y,x),x * y) = u. [para(93(a,1),445(a,1,1)),flip(a)]. 767 T(x,x \ 1) * y != x * (K(x,x \ 1) * z) | L(z,K(x,x \ 1),x) = y. [para(432(a,1),445(a,1,1))]. 768 (x * y) \ (y * (T(x,y) * z)) != u | L(z,T(x,y),y) = u. [para(113(a,1),456(a,1,1))]. 769 (x * (y * z)) \ (x * (y * (z * u))) != w | L(L(u,z,y),y * z,x) = w. [para(100(a,1),456(a,1,2,2))]. 770 (T(x,x \ y) * z) \ (((x \ y) \ y) * (z * u)) != w | L(u,z,(x \ y) \ y) = w. [para(245(a,2),456(a,1,1))]. 771 (x * (y * (z * u))) \ (x * ((y * z) * u)) != w | L(a(y,z,u),y * (z * u),x) = w. [para(89(a,1),456(a,1,2,2))]. 773 (x * (y \ z)) * T(y,y \ z) != u * z | R(x,y \ z,T(y,y \ z)) = u. [para(168(a,1),476(a,2,2))]. 775 (x * y) * K(z \ y,z) != u * ((z \ y) * z) | R(x,y,K(z \ y,z)) = u. [para(239(a,1),476(a,2,2))]. 776 (x * (1 / y)) * K(y \ 1,y) != z * (y \ 1) | R(x,1 / y,K(y \ 1,y)) = z. [para(725(a,1),476(a,2,2))]. 777 x / (y * z) != u | R((x / z) / y,y,z) = u. [para(68(a,1),489(a,1,1))]. 778 (T(x,x \ 1) * y) / (K(x,x \ 1) * y) != z | R(x,K(x,x \ 1),y) = z. [para(432(a,1),489(a,1,1,1))]. 780 ((x \ 1) \ y) / y != z | R(x,x \ 1,(x \ 1) \ y) = z. [para(14(a,1),562(a,1,2))]. 781 x * K(x \ 1,x) != y | L(x,x \ 1,x) = y. [para(189(a,2),563(a,1,2))]. 782 (x * ((y * x) \ y)) / x = L(1 / x,x,y). [hyper(72,a,353,a(flip),b,588,a)]. 783 L(1 / (x \ y),x \ y,x) * (x \ y) = (x \ y) * (y \ x). [para(351(a,1),588(a,2,2))]. 784 ((x \ y) * (y \ x)) / (x \ y) = L(1 / (x \ y),x \ y,x). [para(14(a,1),782(a,1,1,2,1))]. 785 T(x,L(T(x,y),z,u)) = x. [hyper(172,a,589,a)]. 786 L((x * y) / x,z,u) = (x * L(y,z,u)) / x. [hyper(85,a,590,a),flip(a)]. 787 L((x * (y \ 1)) / x,y,z) = (x * ((z * y) \ z)) / x. [hyper(72,a,353,a(flip),b,590,a),flip(a)]. 788 L(((x * y) * z) / (x * y),y,x) = (x * (y * z)) / (x * y). [hyper(72,a,100,a(flip),b,590,a),flip(a)]. 789 (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(244(a,1),598(a,1,1,1)),flip(a)]. 790 T(x,R(T(x,y),z,u)) = x. [hyper(172,a,599,a)]. 791 ((((x * y) * z) / (x * y)) * x) * y = (x * y) * R(z,x,y). [hyper(221,a,600,a)]. 792 R((x * y) / x,z,u) = (x * R(y,z,u)) / x. [hyper(85,a,600,a),flip(a)]. 793 R((x * y) / x,z,u) \ (x * R(y,z,u)) = x. [hyper(77,a,600,a)]. 794 (((x * y) / x) * z) * (z \ x) = x * R(y,z,z \ x). [hyper(228,a,303,a(flip),b,600,a(flip)),flip(a)]. 795 (x * R(y,z,z \ x)) / (z \ x) = ((x * y) / x) * z. [hyper(72,a,600,a(flip),b,303,a(flip))]. 796 ((x / y) * L(y,z,u)) / (x / y) = L(x / (x / y),z,u). [para(64(a,1),603(a,1,1,2,1))]. 797 L(x / y,z,u) * y != w | y * L(y \ x,z,u) = w. [para(603(a,1),215(a,1,1)),flip(b)]. 798 (x * ((y * x) \ (y * z))) / x = L(z / x,x,y). [para(102(a,1),603(a,1,1,2))]. 799 L((x \ y) / z,z,x) = (z * ((x * z) \ y)) / z. [para(222(a,1),603(a,1,1,2)),flip(a)]. 800 (x * ((1 / x) * y)) / x = L(y / x,x,1 / x). [para(459(a,1),603(a,1,1,2))]. 801 L(T(x,y) / x,x,y) = (x * K(x,y)) / x. [para(701(a,2),603(a,1,1,2)),flip(a)]. 802 ((x \ y) * (y \ (x * z))) / (x \ y) = L(z / (x \ y),x \ y,x). [para(458(a,1),603(a,1,1,2))]. 803 ((x / y) * R(y,z,u)) / (x / y) = R(x / (x / y),z,u). [para(64(a,1),604(a,1,1,2,1))]. 804 R(x / y,z,u) * y != w | y * R(y \ x,z,u) = w. [para(604(a,1),215(a,1,1)),flip(b)]. 805 ((x * (y / z)) / x) * z = z * ((x * (z \ y)) / x). [para(115(a,1),652(a,1,2,1,2)),flip(a)]. 806 (x \ y) * ((z * ((x \ y) \ y)) / z) = ((z * x) / z) * (x \ y). [para(114(a,1),652(a,1,2,1,2))]. 807 (x * ((y * (x \ z)) / y)) / x = (y * (z / x)) / y. [para(653(a,1),166(a,1,1,2))]. 808 x / (T(1 / x,y) \ 1) = x * T(x \ 1,y). [hyper(228,a,317,a,b,698,a(flip)),flip(a)]. 809 (x * T(x \ 1,y)) \ x = T(1 / x,y) \ 1. [para(698(a,1),282(a,1,1))]. 810 (1 / (1 / x)) * (x * (1 / x)) = x. [hyper(228,a,64,a(flip),b,724,a)]. 812 (1 / (1 / x)) * K(x,1 / x) = x. [para(192(a,2),810(a,1,2))]. 813 K((x \ 1) \ 1,x \ 1) = K(x,x \ 1). [hyper(228,a,402,a(flip),b,727,a)]. 816 (x * (y / x)) \ (y * (y / x)) = x \ y. [hyper(228,a,115,a(flip),b,752,a)]. 817 (x * (y / x)) * (x \ y) = y * (y / x). [para(816(a,1),14(a,1,2))]. 818 ((x / y) * (x / (x / y))) * y = x * (x / (x / y)). [para(64(a,1),817(a,1,2))]. 819 T(T(R(x / y,z,u),w),y) = R(T(y \ x,w),z,u). [para(115(a,1),753(a,1,1,1)),flip(a)]. 820 T((x * y) * z,(y * z) \ (R(x,y,z) \ 1)) = ((y * z) \ (R(x,y,z) \ 1)) \ 1. [para(109(a,1),764(a,1,1))]. 821 L((x * y) / x,z,u) * x != w | x * L(y,z,u) = w. [para(786(a,2),215(a,1,1)),flip(b)]. 822 (x * y) * ((z * L(u,y,x)) / z) = x * (y * ((z * u) / z)). [para(786(a,1),100(a,1,2))]. 823 L((x * (y \ z)) / x,y,u) = (x * ((u * y) \ (u * z))) / x. [para(102(a,1),786(a,2,1,2))]. 824 L((x * (y \ (z \ u))) / x,y,z) = (x * ((z * y) \ u)) / x. [para(222(a,1),786(a,2,1,2))]. 825 L((x * (y \ 1)) / x,y,z / y) = (x * (z \ (z / y))) / x. [para(355(a,1),786(a,2,1,2))]. 826 L((x * (y \ z)) / x,y,1 / y) = (x * ((1 / y) * z)) / x. [para(459(a,1),786(a,2,1,2))]. 827 L((x * ((y \ 1) \ z)) / x,y \ 1,y) = (x * (y * z)) / x. [para(460(a,1),786(a,2,1,2))]. 828 L((x * ((y \ z) \ u)) / x,y \ z,y) = (x * (z \ (y * u))) / x. [para(458(a,1),786(a,2,1,2))]. 829 R((x * (1 / y)) / x,y,z) = (x * (z / (y * z))) / x. [para(162(a,1),792(a,2,1,2))]. 830 R((x * ((y / z) / u)) / x,u,z) = (x * (y / (u * z))) / x. [para(226(a,1),792(a,2,1,2))]. 832 R((x * (y / (1 / z))) / x,1 / z,z) = (x * (y * z)) / x. [para(494(a,1),792(a,2,1,2))]. 833 R((x * (y / z)) / x,z,z \ 1) = (x * (y * (z \ 1))) / x. [para(495(a,1),792(a,2,1,2))]. 834 ((x * R(y,z,u)) / x) * (z * u) != w | (((x * y) / x) * z) * u = w. [para(792(a,1),221(a,1,1))]. 835 (x * y) \ (y * T(x,y / x)) = a(x,y / x,x). [para(751(a,1),91(a,1,2))]. 836 T(((x * y) * x) / (x * y),y) = R(x,y,T(x,y)). [hyper(228,a,417,a(flip),b,181,a(flip)),flip(a)]. 837 T(R(x,y,T(x,y)),z) * (x * y) = (x * y) * T(T(x,y),z). [para(181(a,1),410(a,1,1,1))]. 838 a(1 / (x * y),x,y) \ R((1 / (x * y)) * x,y,y \ 1) = y \ 1. [para(191(a,1),394(a,1,1))]. 839 (x * y) * (y \ ((z * x) \ 1)) = R(z,x,y) \ 1. [para(118(a,1),258(a,1,2))]. 840 (x * y) * R((x * y) \ x,z,u) = x * (y * R(y \ 1,z,u)). [para(357(a,2),100(a,1,2))]. 841 R((x * y) \ x,y,y \ 1) = L(T(y \ 1,y),y,x). [para(607(a,1),357(a,2,1))]. 842 L(L(x \ 1,y * x,z),x,y) = (z * (y * x)) \ (z * y). [hyper(228,a,102,a(flip),b,358,a)]. 843 L((x * y) \ x,y,1 / y) = L(1 / y,y,x). [para(352(a,1),358(a,1,1)),flip(a)]. 844 (x * y) * L((x * y) \ x,z,u) = x * (y * L(y \ 1,z,u)). [para(358(a,1),100(a,1,2))]. 846 L(x \ y,y \ x,1 / (y \ x)) = L(1 / (y \ x),y \ x,y). [para(14(a,1),843(a,1,1,1))]. 847 R(x / (y * x),z,u) * (y * x) = (R(1 / y,z,u) * y) * x. [para(364(a,1),109(a,1,1))]. 850 (x / y) * R(y,z,u) != w | R(x / (x / y),z,u) * (x / y) = w. [para(188(a,1),379(a,1,2,1))]. 851 (x * y) * T((x * y) \ (x * z),u) = x * (y * T(y \ z,u)). [para(102(a,1),450(a,1,2,1))]. 852 (x * y) * T((x * y) \ z,u) = x * (y * T(y \ (x \ z),u)). [para(222(a,1),450(a,1,2,1))]. 853 (x * y) * T(T(x,x * y),z) = x * (y * T(T(x,y),z)). [para(673(a,1),450(a,1,2,1))]. 854 x * (T(y,x) * T(z,y * x)) = L(z,T(y,x),x) * (y * x). [hyper(378,a,453,a),flip(a)]. 855 (x * y) * L(L(z,T(x,y),y),u,w) = y * (T(x,y) * L(z,u,w)). [para(45(a,1),453(a,1,2))]. 856 (x * y) * R((y * T(x,y)) \ y,z,u) = y * (T(x,y) * R(T(x,y) \ 1,z,u)). [para(357(a,2),453(a,1,2))]. 857 L(T(T(x,y) \ z,u),T(x,y),y) = T((x * y) \ (y * z),u). [para(113(a,1),464(a,1,1,1)),flip(a)]. 858 (x * y) * T((x * y) \ (x * z),u) != w | x * (y * T(y \ z,u)) = w. [para(464(a,2),218(a,1,2))]. 859 L(R(T(x,y) \ z,u,w),T(x,y),y) = R((x * y) \ (y * z),u,w). [para(465(a,1),44(a,1,1)),flip(a)]. 860 L(L(T(x,y) \ z,u,w),T(x,y),y) = L((x * y) \ (y * z),u,w). [para(465(a,1),45(a,1,1)),flip(a)]. 861 T(R(x,y,T(z,y)),u) * (z * y) = (T(x,u) * y) * T(z,y). [para(113(a,1),481(a,1,2))]. 862 T((x * y) / (z * y),u) * (z * y) = (T(x / z,u) * z) * y. [para(110(a,1),481(a,1,1,1))]. 863 R(T(x,x * y),y,T(x,y)) = T(x,y). [hyper(17,a,184,a,b,484,a(flip)),flip(a)]. 864 (T(x,x * y) * y) * T(x,y) = T(x,y) * (x * y). [para(863(a,1),484(a,1,1)),flip(a)]. 865 ((x * R(y / z,z,u)) / x) * (z * u) = (z * u) * ((x * ((z * u) \ (y * u))) / x). [para(499(a,1),652(a,1,2,1,2)),flip(a)]. 866 R(T(T(x / y,z),y * u),y,u) = T((y * u) \ (x * u),z). [para(499(a,1),753(a,2,1))]. 867 R(x,T(y,x),T(z,y * x)) \ (z * (y * x)) = T(y,x) * T(z,y * x). [para(113(a,1),509(a,1,2))]. 868 (x \ 1) * T((x \ 1) \ y,z) = x \ T(x * y,z). [para(460(a,1),515(a,1,2,1)),flip(a)]. 869 (1 / L(x,y \ 1,y)) * y = (1 / (1 / x)) \ y. [hyper(228,a,323,a(flip),b,516,a)]. 870 T(x * (y \ 1),z) / (y \ 1) = T(x / y,z) * y. [para(495(a,1),521(a,1,1,1))]. 871 T(x / (1 / y),z) * (1 / y) = T(x * y,z) / y. [para(494(a,1),524(a,1,1,1)),flip(a)]. 872 (x * y) * T((x * y) \ z,u) != w | x * (y * T(y \ (x \ z),u)) = w. [para(526(a,1),218(a,1,2))]. 873 (x / y) * (y * T(y \ 1,z)) = x * T(x \ (x / y),z). [para(551(a,2),442(a,1,2)),flip(a)]. 874 T((x \ y) / y,z) * y = (T(1 / x,z) * x) * (x \ y). [para(553(a,2),303(a,1,1))]. 876 (1 / x) * (x * T(x \ y,z)) = T((1 / x) * y,z). [hyper(350,a,569,a)]. 877 (1 / x) \ T((1 / x) * y,z) = x * T(x \ y,z). [hyper(71,a,569,a(flip),b,193,a)]. 878 L(L(T(x \ 1,y),x,z),z * x,1 / (z * x)) = T((1 / (z * x)) * z,y). [para(356(a,1),569(a,1,1))]. 879 R(T(x,y),x \ z,(x \ z) \ 1) = T(z * ((x \ z) \ 1),y). [para(61(a,1),574(a,1,1,1))]. 880 ((x * y) \ x) * (x * y) = x * (y * T(y \ 1,x * y)). [para(161(a,1),584(a,2,1)),flip(a)]. 881 R(T(x,(y * z) * a(x,y,z)),y * z,a(x,y,z)) = ((y * z) * a(x,y,z)) \ ((x * y) * z). [hyper(71,a,89,a(flip),b,594,a),flip(a)]. 882 T(x,y) * (x \ z) != u | (x \ z) * T((x \ z) \ z,y) = u. [para(61(a,1),646(a,1,1,1))]. 884 (x * y) / a(z,z \ y,T(x,y)) = z * ((z \ y) * T(x,y)). [para(113(a,1),660(a,1,1))]. 885 ((x * y) * (y \ z)) / T(x * z,a(x,y,y \ z)) = a(x,y,y \ z). [hyper(72,a,661,a(flip),b,113,a)]. 886 x \ ((x / y) * ((y \ 1) * y)) = T(x \ (x / y),y). [hyper(228,a,551,a,b,665,a(flip))]. 887 T(L(L(x,y,x),z,u),y) = T(L(x,z,u),x * y). [hyper(228,a,40,a(flip),b,680,a)]. 889 ((x \ T(x,y)) * x) / (x \ T(x,y)) = L(x,x \ T(x,y),x). [para(196(a,1),687(a,1,1,2))]. 890 L(x,x \ y,x) * (x \ y) != z | (x \ y) * T(x,y) = z. [para(687(a,1),215(a,1,1)),flip(b)]. 891 T(T((x * y) / x,z),y * x) = L(T(y,z),x,y). [hyper(228,a,40,a,b,689,a)]. 892 (x \ y) * T((x \ y) \ 1,y) = x \ ((y \ x) * y). [para(351(a,1),705(a,1,2,1)),flip(a)]. 893 (x \ y) * T((x \ y) \ z,y) = x \ ((y \ (x * z)) * y). [para(458(a,1),705(a,1,2,1)),flip(a)]. 894 (x / y) \ (L(z,y,x / y) * x) != u | y * T(z,x) = u. [para(709(a,1),284(a,1,2)),flip(b)]. 895 (x / y) \ ((x \ (x / y)) * x) = y * T(y \ 1,x). [para(355(a,1),710(a,1,2,1))]. 896 R(T(x / y,z),y,y \ z) = z \ (x * (y \ z)). [hyper(228,a,42,a,b,716,a(flip)),flip(a)]. 897 x \ ((x / y) * ((y \ z) * y)) = T(x \ ((x / y) * z),y). [para(462(a,1),734(a,1,1)),flip(a)]. 898 L(((x / y) \ z) / y,y,x / y) = (y * (x \ z)) / y. [para(16(a,1),799(a,2,1,2,1))]. 899 L((x \ (y * (x * z))) / z,z,x) = (z * T(y,x * z)) / z. [para(32(a,2),799(a,2,1,2))]. 900 L((x \ (T(x,y) * y)) / y,y,x) = (y * K(T(x,y),y)) / y. [para(177(a,1),799(a,2,1,2))]. 901 (x * y) * (y \ (x \ (z \ 1))) = R(z,x,y) \ 1. [para(118(a,1),839(a,1,2,2))]. 902 (1 / (1 / T((x \ 1) \ y,z))) \ x = (1 / T(x * y,z)) * x. [para(571(a,1),869(a,1,1,2)),flip(a)]. 903 T(L(L(x,y,z),u,x),u) = T(L(x,y,z),x * u). [para(45(a,1),887(a,1,1))]. 904 (x \ (y * (z \ x))) * x = (T(y / z,x) * z) * (z \ x). [para(896(a,1),303(a,1,1))]. 905 (x * y) \ (R(z,x,y) \ 1) = y \ (x \ (z \ 1)). [hyper(77,a,901,a)]. 906 (x * y) * T(L(x,z,u),x * y) = x * (y * T(L(x,z,u),y)). [para(903(a,1),450(a,1,2))]. 907 T(x,L(L(x,y,z),u,w)) = x. [hyper(172,a,592,a)]. 908 (x \ 1) * ((y \ 1) \ (z \ 1)) = ((y / z) \ x) \ 1. [para(118(a,1),628(a,1,2))]. 909 (x * (T(y,x) * z)) \ ((y * x) * z) != u | a(x,T(y,x),z) = u. [para(113(a,1),663(a,1,2,1))]. 910 R((x * (y / z)) / x,z,z \ 1) / (z \ 1) = z * ((x * (z \ y)) / x). [hyper(228,a,397,a,b,805,a(flip)),flip(a)]. 911 (x * ((y * z) / y)) / x = (y * ((x * z) / x)) / y. [para(13(a,1),807(a,1,1,2,1,2))]. 912 ((x * (y / z)) / x) * z != u | z * ((x * (z \ y)) / x) = u. [para(807(a,1),215(a,1,1)),flip(b)]. 913 T(T((x * y) / (z * y),u),z) = R(T(z \ x,u),z,y). [para(110(a,1),819(a,1,1,1))]. 914 R(T(x \ y,x * z),x,z) = T((x * z) \ (y * z),x). [para(499(a,1),819(a,1,1)),flip(a)]. 915 T(T(x,x * y) * y,T(x,y)) = x * y. [hyper(171,a,864,a,b,xx)]. 917 x \ T(x * (y * (x \ 1)),z) = T(y,z) * (x \ 1). [hyper(695,a,868,a),flip(a)]. 918 x \ T(x * y,x \ 1) = ((x \ 1) \ y) * (x \ 1). [hyper(219,a,868,a),flip(a)]. 919 (x \ 1) \ (x \ T(x * y,z)) = T((x \ 1) \ y,z). [hyper(77,a,868,a)]. 920 (x \ 1) * T((x \ 1) \ 1,y) = x \ T(x,y). [para(12(a,1),868(a,2,2,1))]. 921 (x \ 1) * T((x \ 1) \ (x \ y),z) = x \ T(y,z). [para(14(a,1),868(a,2,2,1))]. 922 T(x,y) * (x \ 1) = x \ T(x,y). [hyper(228,a,411,a(flip),b,920,a(flip)),flip(a)]. 923 (x \ 1) \ (T(x,y) \ 1) = (x \ T(x,y)) \ 1. [para(922(a,1),118(a,1,1)),flip(a)]. 924 (x * y) \ (y * (x \ T(x,y))) = L(x \ 1,T(x,y),y). [para(922(a,1),178(a,1,2,2))]. 925 (x \ T(x,y)) * ((x \ 1) \ (T(x,y) \ 1)) = 1. [para(923(a,2),14(a,1,2))]. 926 (x \ T(x,y)) \ 1 != z | (x \ 1) \ (T(x,y) \ 1) = z. [para(925(a,1),284(a,1,2)),flip(b)]. 927 T(x * (y \ 1),z) / (y \ 1) = y * T(y \ x,z). [hyper(228,a,409,a(flip),b,870,a)]. 928 T(((1 / x) * y) * x,z) / x = (1 / x) * T(y,z). [hyper(654,a,871,a),flip(a)]. 929 (1 / x) * T((1 / x) \ y,z) = T(y * x,z) / x. [hyper(646,a,871,a)]. 930 (1 / x) \ (T(y * x,z) / x) = T((1 / x) \ y,z). [hyper(71,a,871,a(flip),b,409,a(flip))]. 931 T(x * y,1 / y) / y = ((1 / y) \ x) * (1 / y). [para(115(a,1),871(a,1,1)),flip(a)]. 932 x * T(x \ ((1 / x) \ y),z) = (1 / x) \ T(y,z). [para(14(a,1),877(a,1,2,1)),flip(a)]. 933 (x / y) * ((y \ 1) * y) = x * T(x \ (x / y),y). [para(886(a,1),14(a,1,2)),flip(a)]. 934 K(x,y) = ((y * x) \ y) * T(((y * x) \ y) \ 1,y). [hyper(228,a,399,a,b,892,a),flip(a)]. 935 T(((x * y) \ x) \ 1,x) = ((x * y) \ x) \ K(y,x). [hyper(71,a,399,a,b,892,a),flip(a)]. 936 K(x \ (x / y),x) = y * T(y \ 1,x). [hyper(425,a,895,a)]. 937 x \ K(y \ (y / x),y) = T(x \ 1,y). [hyper(71,a,94,a(flip),b,895,a(flip))]. 938 x * T(x \ 1,y) != z | K(y \ (y / x),y) = z. [para(895(a,1),425(a,1))]. 939 K(x \ (x / (y \ 1)),x) = y \ T(y,x). [hyper(228,a,920,a(flip),b,936,a)]. 940 K(x \ (x / y),x) / y = T(1 / y,x). [hyper(72,a,936,a,b,409,a)]. 941 K(x \ (x / y),x) \ y = T(1 / y,x) \ 1. [para(936(a,2),809(a,1,1))]. 943 K(x \ (x / ((y / x) \ 1)),x) = (y / x) \ (x \ y). [para(115(a,1),939(a,2,2))]. 944 K(x \ (x / (((x * y) / x) \ 1)),x) = ((x * y) / x) \ y. [para(165(a,1),939(a,2,2))]. 945 K((x * y) \ x,x * y) / y = T(1 / y,x * y). [para(15(a,1),940(a,1,1,1,2))]. 946 ((x / (1 / y)) \ z) \ 1 = (z \ 1) * ((x \ 1) \ y). [para(64(a,1),908(a,1,2,2)),flip(a)]. 947 T(x * (y * (x \ 1)),z) = x * (T(y,z) * (x \ 1)). [para(917(a,1),14(a,1,2)),flip(a)]. 948 x * (((x \ 1) \ y) * (x \ 1)) = T(x * y,x \ 1). [para(918(a,1),14(a,1,2))]. 949 (x / y) \ T(x,(x / y) \ 1) = (((x / y) \ 1) \ y) * ((x / y) \ 1). [para(16(a,1),918(a,1,2,1))]. 950 (x \ 1) * T((x \ 1) \ y,z) != u | x \ T(x * y,z) = u. [para(919(a,1),213(a,1,2)),flip(b)]. 951 (x \ T(y,z)) / (x \ 1) = T((x \ y) / (x \ 1),z). [hyper(72,a,921,a(flip),b,409,a)]. 952 (x \ T(y,x \ 1)) / (x \ 1) = (x \ 1) \ (x \ y). [hyper(72,a,921,a(flip),b,113,a(flip))]. 953 T(x * ((y \ 1) \ 1),z) / ((y \ 1) \ 1) = y \ T(y * x,z). [hyper(228,a,868,a(flip),b,927,a)]. 954 T(x \ 1,y) / (x \ 1) = x * T(x \ 1,y). [para(11(a,1),927(a,1,1,1))]. 955 (x * T(x \ y,z)) * (x \ 1) = T(y * (x \ 1),z). [para(927(a,1),16(a,1,1))]. 956 (1 / x) * T((1 / x) \ 1,y) = T(x,y) / x. [para(54(a,1),928(a,1,1,1)),flip(a)]. 957 (1 / x) * T(x,y) = T(x,y) / x. [para(62(a,1),928(a,1,1,1)),flip(a)]. 958 T(x,y) \ (T(x,y) / x) = T(1 / x,T(x,y)). [hyper(171,a,957,a,b,14,a),flip(a)]. 959 (T(x,y) / x) / T(x,y) = 1 / x. [hyper(85,a,957,a)]. 960 (1 / x) \ (T(x,y) / x) = T(x,y). [hyper(77,a,957,a)]. 961 T(x / y,y) / (x / y) = (1 / (x / y)) * (y \ x). [para(115(a,1),957(a,1,2)),flip(a)]. 963 T(x \ 1,y) / (x \ 1) != z | x * T(x \ 1,y) = z. [para(957(a,1),580(a,1))]. 964 T((T(x,y) * (1 / x)) / T(x,y),T(x,y) / x) = L(1 / x,T(x,y),1 / x). [para(957(a,1),683(a,1,2))]. 965 K(x \ (x / (1 / y)),x) = T(y,x) / y. [hyper(938,a,956,a)]. 966 T(x,y) = K(y \ (y / (1 / x)),y) * x. [para(965(a,2),16(a,1,1)),flip(a)]. 967 K(x \ (x / (1 / (y / (x * y)))),x) = R(x \ 1,x,y) / (y / (x * y)). [para(605(a,1),965(a,2,1))]. 968 K(T(1 / x,T(x,y)),T(x,y)) = x * T(x \ 1,T(x,y)). [para(958(a,1),936(a,1,1))]. 969 (1 / x) \ (T(y,z) / x) = T((1 / x) \ (y / x),z). [para(16(a,1),930(a,1,2,1,1))]. 970 (1 / x) * T((1 / x) \ y,z) != u | T(y * x,z) / x = u. [para(930(a,1),213(a,1,2)),flip(b)]. 971 ((1 / x) \ (y / x)) * (1 / x) = T(y,1 / x) / x. [para(16(a,1),931(a,1,1,1)),flip(a)]. 972 ((1 / x) \ y) \ ((1 / x) \ T(y,x)) = K(x \ ((1 / x) \ y),x). [para(932(a,1),400(a,1,2))]. 973 (x / y) * K(y \ 1,y) = x * T(x \ (x / y),y). [para(189(a,2),933(a,1,2))]. 974 ((x * y) \ x) * T(((x * y) \ x) \ 1,x) != z | K(y,x) = z. [para(935(a,2),213(a,1,2)),flip(b)]. 975 T(L(x \ 1,x,y) \ 1,y) = ((y * x) \ y) \ K(x,y). [para(161(a,2),935(a,1,1,1))]. 976 (((x * y) \ x) \ K(y,x)) / (((x * y) \ x) \ 1) = ((x * y) \ x) * T(((x * y) \ x) \ 1,x). [para(935(a,1),954(a,1,1))]. 978 (1 / (x / y)) * (y \ x) = (y \ x) / (x / y). [para(115(a,1),961(a,1,1)),flip(a)]. 979 (x \ y) \ ((x \ y) / (y / x)) = T(1 / (y / x),x \ y). [hyper(171,a,978,a,b,14,a),flip(a)]. 980 (x \ y) / (y / x) != (x \ y) * z | T(1 / (y / x),x \ y) = z. [para(978(a,1),172(a,2)),flip(a)]. 982 K(x,1 / x) \ (x * (T(x,y) / x)) = L(T(x,y),1 / x,x). [para(957(a,1),274(a,1,2,2))]. 983 (x * y) * R((x * y) \ (x * z),u,w) = x * (y * R(y \ z,u,w)). [para(102(a,1),451(a,1,2,1))]. 984 (x * y) * R((x * y) \ z,u,w) = x * (y * R(y \ (x \ z),u,w)). [para(222(a,1),451(a,1,2,1))]. 985 K(x \ 1,x) * L(L(y,x,x \ 1),z,u) = (x \ 1) * (x * L(y,z,u)). [para(189(a,2),452(a,1,1))]. 986 (x * y) * L((x * y) \ z,u,w) = x * (y * L(y \ (x \ z),u,w)). [para(222(a,1),452(a,1,2,1))]. 987 K(x \ 1,x) * L(x \ y,x,x \ 1) = (x \ 1) * y. [hyper(228,a,86,a(flip),b,455,a)]. 988 K(x \ 1,x) * T(((x \ 1) * x) \ y,z) = (x \ 1) * (x * T(x \ ((x \ 1) \ y),z)). [para(526(a,1),455(a,1,2))]. 989 L((x * y) / (z * y),u,w) * (z * y) = (L(x / z,u,w) * z) * y. [para(110(a,1),482(a,1,1,1))]. 990 (L((x / y) / z,u,w) * z) * y = L(x / (z * y),u,w) * (z * y). [para(226(a,1),482(a,1,1,1)),flip(a)]. 991 R((x * y) / (z * y),u,w) * (z * y) = (R(x / z,u,w) * z) * y. [para(110(a,1),483(a,1,1,1))]. 992 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(922(a,1),510(a,1,1,1))]. 993 x \ L(L(y,x \ 1,x),z,u) != (x \ 1) * w | L(y,z,u) = w. [para(514(a,2),19(a,1))]. 994 (x \ 1) * L((x \ 1) \ y,z,u) = x \ L(x * y,z,u). [para(460(a,1),514(a,1,2,1)),flip(a)]. 995 (1 / x) \ L(1 / x,y,z) = x * L(x \ 1,y,z). [para(352(a,1),517(a,1,2,1))]. 996 (1 / x) \ L((1 / x) * y,z,u) = x * L(x \ y,z,u). [para(459(a,1),517(a,1,2,1))]. 997 (x * L(x \ 1,y,z)) \ x = L(1 / x,y,z) \ 1. [para(995(a,1),282(a,1,1))]. 998 L(x \ 1,y,z) / (x \ 1) = L(1 / x,y,z) * x. [para(360(a,1),520(a,1,1,1))]. 999 L(x * (y \ 1),z,u) / (y \ 1) = L(x / y,z,u) * y. [para(495(a,1),520(a,1,1,1))]. 1000 L(x \ 1,y,z) / (x \ 1) = x * L(x \ 1,y,z). [hyper(228,a,588,a(flip),b,998,a)]. 1001 L(x \ 1,x,y) / (x \ 1) = x * ((y * x) \ y). [hyper(228,a,353,a(flip),b,1000,a)]. 1002 (x * ((y * x) \ y)) * (x \ 1) = L(x \ 1,x,y). [para(1001(a,1),16(a,1,1))]. 1003 (x * ((y * x) \ y)) \ L(x \ 1,x,y) = x \ 1. [para(1001(a,1),64(a,1,1))]. 1004 (x * ((y * x) \ y)) * (x \ 1) = (y * x) \ y. [hyper(228,a,161,a(flip),b,1002,a)]. 1005 L(x \ 1,x,y) \ ((x \ 1) * (x * ((y * x) \ y))) = K(x \ 1,x * ((y * x) \ y)). [para(1002(a,1),26(a,2,1)),flip(a)]. 1006 ((x * y) \ x) * z != (y \ 1) * (y * ((x * y) \ x)) | K(y \ 1,y * ((x * y) \ x)) = z. [para(1004(a,1),241(a,1,1))]. 1007 ((x \ y) * (y \ x)) \ L((x \ y) \ 1,x \ y,x) = (x \ y) \ 1. [para(14(a,1),1003(a,1,1,2,1))]. 1008 R(R(x,1 / y,y),z,u) / y != w * (1 / y) | R(x,z,u) = w. [para(522(a,2),20(a,1))]. 1009 L(T(x / ((1 / x) * x),y),z,u) / x = L(T(1 / (1 / x),y),z,u) * (1 / x). [para(363(a,2),523(a,1,1,1))]. 1010 L(T(x,1 / x),y,z) / x = L(x,y,z) * (1 / x). [para(744(a,1),523(a,1,1,1))]. 1011 T(L(x,y,z),1 / x) / x = L(x,y,z) * (1 / x). [para(40(a,1),1010(a,1,1))]. 1012 (1 / x) \ (L(x,y,z) / x) = L(x,y,z). [hyper(18,a,971,a,b,1011,a(flip)),flip(a)]. 1013 (1 / x) * L(x,y,z) = L(x,y,z) / x. [para(1012(a,1),14(a,1,2))]. 1014 (L(x,y,z) / x) / L(x,y,z) = 1 / x. [para(1012(a,1),61(a,1,2))]. 1015 L(L(x,y,z) \ u,L(x,y,z),1 / x) = (L(x,y,z) / x) \ ((1 / x) * u). [para(1013(a,1),102(a,2,1))]. 1016 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(1013(a,1),683(a,1,2))]. 1018 K(x \ 1,x) * R(((x \ 1) * x) \ y,z,u) = (x \ 1) * (x * R(x \ ((x \ 1) \ y),z,u)). [para(527(a,1),455(a,1,2))]. 1019 (x * y) * L((x * y) \ z,u,w) != v5 | x * (y * L(y \ (x \ z),u,w)) = v5. [para(528(a,1),218(a,1,2))]. 1020 K(x \ 1,x) * L(((x \ 1) * x) \ y,z,u) = (x \ 1) * (x * L(x \ ((x \ 1) \ y),z,u)). [para(528(a,1),455(a,1,2))]. 1021 (1 / x) * (x * R(x \ y,z,u)) = R((1 / x) * y,z,u). [hyper(350,a,570,a)]. 1022 L(L(T(x \ 1,x),x,y),y * x,1 / (y * x)) = R((1 / (y * x)) * y,x,x \ 1). [para(841(a,1),570(a,1,1))]. 1023 (x \ 1) * R((x \ 1) \ y,z,u) = x \ R(x * y,z,u). [hyper(71,a,572,a(flip),b,190,a),flip(a)]. 1024 (R(x / y,z,u) * y) * (y \ 1) = R(x * (y \ 1),z,u). [hyper(347,a,575,a)]. 1025 (x / (y * z)) \ (x / z) = R(y,z,x \ 1). [para(259(a,1),636(a,1,1))]. 1026 (x / (y * (z \ x))) \ z = R(y,z \ x,x \ 1). [para(61(a,1),1025(a,1,2))]. 1027 R(x / (y \ z),y \ z,z \ 1) = (z / x) \ y. [para(16(a,1),1026(a,1,1,2)),flip(a)]. 1028 T(x,y) * z != L(y,T(x,y),y) * T(x,y) | T(y,x * y) = z. [para(686(a,2),19(a,1)),flip(a)]. 1029 x * ((x \ y) * T((x \ y) \ z,u)) = y * T(y \ (x * z),u). [para(712(a,1),441(a,1,2)),flip(a)]. 1030 (T(x / (y / z),u) * (y / z)) * z = T((x * z) / y,u) * y. [para(717(a,1),475(a,1,1)),flip(a)]. 1031 (x * y) * T(T(y,x),z) = (T(y,z) * x) * y. [hyper(228,a,481,a(flip),b,739,a(flip))]. 1032 (x * y) * ((z * ((x * y) \ x)) / z) = x * (y * ((z * (y \ 1)) / z)). [para(787(a,1),100(a,1,2))]. 1033 (x * y) * ((z * ((x * y) \ x)) / z) != u | x * (y * ((z * (y \ 1)) / z)) = u. [para(787(a,1),218(a,1,2))]. 1034 (x * ((y \ x) / x)) / (y \ x) = ((x * (1 / y)) / x) * y. [para(361(a,1),795(a,1,1,2))]. 1035 L(T(x / y,z),u,w) * y != v5 | y * L(T(y \ x,z),u,w) = v5. [para(412(a,1),821(a,1,1,1))]. 1036 ((x * (y / (z * y))) / x) * (z * y) = (((x * (1 / z)) / x) * z) * y. [para(829(a,1),109(a,1,1))]. 1037 R(T(x \ 1,x * y),x,y) = T((x * y) \ y,x). [para(11(a,1),914(a,2,1,2))]. 1038 T((x * y) \ ((x * z) * y),x) = R(T(z,x * y),x,y). [para(13(a,1),914(a,1,1,1)),flip(a)]. 1039 K(x,y) = L(x \ 1,x,y) * T(L(x \ 1,x,y) \ 1,y). [para(975(a,2),390(a,1,2)),flip(a)]. 1040 K(x \ 1,x) * y != (x \ 1) * z | L(x \ z,x,x \ 1) = y. [para(987(a,1),19(a,1)),flip(a)]. 1044 x * R(T(y,y * x),z,u) = L(R(y,z,u),x,y) * x. [para(677(a,1),587(a,1,2))]. 1045 R(T(x,x \ y),z,u) = R((x \ y) \ y,z,u). [hyper(17,a,184,a,b,601,a),flip(a)]. 1046 T(x,x \ y) \ R(T(z,z \ u),w,v5) = ((x \ y) \ y) \ R((z \ u) \ u,w,v5). [hyper(71,a,1045,a(flip),b,312,a),flip(a)]. 1048 (x * y) * T((x * y) \ y,z) = (T(1 / x,z) * x) * y. [hyper(646,a,693,a)]. 1049 (x * y) * T((x * y) \ z,x) = ((x \ (z / y)) * x) * y. [hyper(646,a,730,a)]. 1050 x * (y * T(T(x,y),z)) = T(x,z) * (x * y). [hyper(377,a,853,a),flip(a)]. 1051 T(x,y) * (x * z) = x * (T(x,y) * z). [para(182(a,1),1050(a,1,2)),flip(a)]. 1052 x \ (T(x,y) * z) = T(x,y) * (x \ z). [hyper(558,a,1051,a)]. 1053 x * (T(x,y) * (x \ z)) = T(x,y) * z. [hyper(302,a,1051,a),flip(a)]. 1054 T(x,y) * (x * (T(x,y) \ z)) = x * z. [hyper(228,a,86,a(flip),b,1051,a)]. 1055 T(T(x,y),x * (T(x,y) \ z)) = (x * (T(x,y) \ z)) \ (x * z). [hyper(171,a,1051,a,b,223,a)]. 1056 (x * (T(x,y) * z)) / (x * z) = T(x,y). [hyper(85,a,1051,a)]. 1057 T(x,y) \ (x * z) = x * (T(x,y) \ z). [hyper(71,a,86,a(flip),b,1051,a)]. 1058 x * (T(x,y) \ (x \ z)) = T(x,y) \ z. [hyper(71,a,57,a(flip),b,1051,a),flip(a)]. 1059 x * (T(x,y) \ 1) = T(x,y) \ x. [hyper(71,a,55,a(flip),b,1051,a),flip(a)]. 1060 (x / y) * (T(x / y,z) * y) = T(x / y,z) * x. [para(16(a,1),1051(a,1,2)),flip(a)]. 1062 x * (T(x,y) * T(z,x)) = T(x,y) * (z * x). [para(113(a,1),1051(a,1,2)),flip(a)]. 1063 (x / y) * (T(x / y,y) * z) = (y \ x) * ((x / y) * z). [para(115(a,1),1051(a,1,1)),flip(a)]. 1065 (T(x,y) \ x) / (T(x,y) \ 1) = x. [hyper(85,a,1059,a)]. 1066 (T(x,y) \ x) / T(x,T(x,y) \ 1) = T(x,y) \ 1. [hyper(72,a,1059,a(flip),b,113,a)]. 1068 (T(x,y) \ T(x,z)) / (T(x,y) \ 1) = T(x,z). [para(1065(a,1),951(a,2,1))]. 1069 T(x,y) * z != x * u | T(x,y) * (x \ z) = u. [para(1053(a,1),19(a,1))]. 1070 x * (T(x,y) \ y) = T(y,T(x,y)). [hyper(367,a,1054,a),flip(a)]. 1071 x * (T(x,y) \ ((x \ T(x,y)) * z)) = L(z,x \ T(x,y),x). [hyper(17,a,441,a,b,1054,a)]. 1072 x * (T(x,y) \ (T(x,y) / x)) = K(x,T(x,y) / x). [hyper(17,a,240,a,b,1054,a)]. 1073 T(x,y) * z != x * u | x * (T(x,y) \ u) = z. [para(1054(a,1),19(a,1)),flip(a)]. 1074 (x / y) * ((y \ x) \ y) = T(y,T(x / y,y)). [para(115(a,1),1070(a,1,2,1))]. 1075 T(x,y) \ (x \ z) = x \ (T(x,y) \ z). [hyper(77,a,1058,a),flip(a)]. 1076 x * (T(x,y) \ (x \ z)) != u | T(x,y) \ z = u. [para(1075(a,2),213(a,1,2)),flip(b)]. 1077 T(T(x,y * x) * y,x) = T(x,y) * T(y,x). [hyper(171,a,743,a,b,1062,a)]. 1078 T(x,y) * T(T(x,y) \ x,x) = L(x,T(x,y) \ x,T(x,y)). [hyper(17,a,441,a,b,1062,a)]. 1080 T(x,y) * (T(x,z) \ 1) = T(x,z) \ T(x,y). [para(1068(a,1),16(a,1,1))]. 1081 (x / y) * ((y \ x) \ y) = T(y,y \ x). [para(115(a,1),1074(a,2,2))]. 1082 ((x * y) / x) * (y \ x) = T(x,x \ (x * y)). [para(13(a,1),1081(a,1,2,1))]. 1083 T(x / y,z) \ T(x / y,y) = (y \ x) * (T(x / y,z) \ 1). [para(115(a,1),1080(a,1,1)),flip(a)]. 1084 T(x,y) = ((x * y) / x) * (y \ x). [para(13(a,1),1082(a,2,2)),flip(a)]. 1085 T(x,y) / (y \ x) = (x * y) / x. [hyper(72,a,1084,a,b,xx)]. 1086 T((x * y) / x,y \ x) = (y \ x) \ T(x,y). [hyper(71,a,1084,a,b,113,a),flip(a)]. 1087 ((x * y) / x) \ T(x,y) = y \ x. [hyper(71,a,1084,a,b,xx)]. 1088 T(x,x / y) / y = (x * (x / y)) / x. [hyper(313,a,1084,a(flip))]. 1089 (x / (x / y)) * (y \ (x / y)) = T(x / y,y). [para(16(a,1),1084(a,2,1,1)),flip(a)]. 1090 ((x * (x / y)) / x) * y = T(x,x / y). [para(64(a,1),1084(a,2,2)),flip(a)]. 1091 ((x * R(y,y \ 1,x)) / x) * ((y \ 1) * x) = T(x,R(y,y \ 1,x)). [para(391(a,1),1084(a,2,2)),flip(a)]. 1092 ((x * y) * x) / (x * y) = T(x * y,x) / y. [para(13(a,1),1085(a,1,2)),flip(a)]. 1095 (x \ y) \ K(T(y,x) \ ((y * x) / y),T(y,x)) = T((x \ y) \ 1,T(y,x)). [para(1085(a,1),937(a,1,2,1,2))]. 1096 T(T(x,x / y) / y,x) = x / y. [para(1088(a,2),165(a,1,1))]. 1097 ((x * (x / y)) / x) * y != z | T(x,x / y) = z. [para(1088(a,1),215(a,1,1)),flip(b)]. 1098 x * ((y * (x \ y)) / y) = T(y,y / x). [hyper(228,a,805,a(flip),b,1090,a(flip)),flip(a)]. 1099 (x / y) * ((x * y) / x) = T(x,x / (x / y)). [para(64(a,1),1098(a,1,2,1,2))]. 1100 (x * y) * L((x \ y) / y,y,x) = T(y,y / (x * y)). [para(799(a,2),1098(a,1,2))]. 1101 T((x \ y) \ T(y,x),y) = T(x,x \ y). [para(1086(a,1),201(a,1,1))]. 1102 T((x \ y) \ T(y,x),x * y) = L(T(x,x \ y),y,x). [para(1086(a,1),891(a,1,1))]. 1103 T((x \ y) \ T(y,x),y) = (x \ y) \ y. [hyper(228,a,114,a(flip),b,1101,a)]. 1104 (x * y) / ((x * y) / x) = y / (x \ ((x * y) / x)). [hyper(72,a,165,a(flip),b,1089,a),flip(a)]. 1105 T(T(x * y,x) / y,x * y) = x. [para(1092(a,1),165(a,1,1))]. 1106 T(T(x * y,x) / y,y) = R(x,y,T(x,y)). [para(1092(a,1),836(a,1,1))]. 1107 T(T(R(x,y,y \ 1),x * y) / (y \ 1),(x * y) * (y \ 1)) = x * y. [para(194(a,1),1105(a,1,1,1,1))]. 1108 x \ T(y * x,y) = R(y,x,T(y,x)). [hyper(647,a,1106,a)]. 1109 x * R(y,x,T(y,x)) = T(y * x,y). [para(1106(a,1),170(a,1,2))]. 1110 R(x,y,T(x,y)) != z | y \ T(x * y,x) = z. [para(1106(a,1),647(a,1))]. 1111 L(R(x,y,T(x,y)),y,x) = x. [para(1108(a,1),440(a,1,1))]. 1112 T(x,x / (x / T(y,x))) = (x / T(y,x)) * y. [para(166(a,1),1099(a,1,2)),flip(a)]. 1113 x * (T(x,y) \ z) != u | T(x,y) \ (x * z) = u. [para(13(a,1),1076(a,1,2,2))]. 1114 x * ((y * (x \ y)) / y) != z | T(y,y / x) = z. [para(805(a,1),1097(a,1))]. 1115 (x / y) * (y * T(y \ x,z)) = T(x / y,z) * x. [para(409(a,1),1060(a,1,2))]. 1116 x * T(1 / x,T(x,y)) = K(x,T(x,y) / x). [para(958(a,1),1072(a,1,2))]. 1118 T(x / y,z) * u != (x / y) * (y * T(y \ x,z)) | u = x. [para(1115(a,2),19(a,2))]. 1119 x * (y * ((x \ y) / y)) = T(y,y / (x * y)). [hyper(218,a,1100,a)]. 1120 T(x,x / (y * x)) != z | y * (x * ((y \ x) / x)) = z. [para(1100(a,1),218(a,1))]. 1121 (x / y) * z != x * T(x \ (x / y),u) | y * T(y \ 1,u) = z. [para(873(a,1),19(a,1)),flip(a)]. 1122 (T(1 / x,y) * x) * (x \ z) = z * T(z \ (x \ z),y). [hyper(646,a,874,a),flip(a)]. 1123 (x \ (y * (z \ x))) * x = (z * T(z \ y,x)) * (z \ x). [para(409(a,1),904(a,2,1))]. 1124 T((x * y) / x,K(x \ (x / (((x * y) / x) \ 1)),x)) != z | (((x * y) / x) \ y) \ y = z. [para(944(a,2),648(a,1,2))]. 1125 K((x / y) \ ((x / y) / (T(x / (x / y),z) \ 1)),x / y) = (((x / y) * T(y,z)) / (x / y)) \ T(y,z). [para(422(a,1),944(a,1,1,2,2,1))]. 1126 K(T(1 / (1 / x),x \ 1),x \ 1) = T(x,x \ 1) / x. [para(979(a,1),965(a,1,1))]. 1127 (x \ 1) * L((x \ 1) \ 1,y,z) = x \ L(x,y,z). [para(12(a,1),994(a,2,2,1))]. 1128 x \ L(x * (y \ z),x \ 1,y) = (x \ 1) * ((y * (x \ 1)) \ z). [para(222(a,1),994(a,1,2)),flip(a)]. 1129 L(x,y,z) * (x \ 1) = x \ L(x,y,z). [hyper(228,a,591,a(flip),b,1127,a(flip)),flip(a)]. 1130 L(x,y,z) \ (x \ L(x,y,z)) = x \ 1. [hyper(71,a,1127,a(flip),b,591,a(flip))]. 1131 (x \ (y \ z)) \ L(x \ (y \ z),x,y) = ((y * x) \ z) * ((x \ (y \ z)) \ 1). [para(222(a,1),1129(a,1,1)),flip(a)]. 1132 (x \ y) \ (((y \ x) \ 1) \ L((y \ x) \ 1,y \ x,y)) = ((y \ x) \ 1) \ 1. [para(351(a,1),1130(a,1,1))]. 1133 x * L(x \ ((1 / x) \ y),z,u) = (1 / x) \ L(y,z,u). [para(14(a,1),996(a,1,2,1)),flip(a)]. 1134 L(x * (y \ 1),z,u) / (y \ 1) = y * L(y \ x,z,u). [hyper(228,a,588,a(flip),b,999,a)]. 1135 (1 / x) * (x * R(x \ 1,y,z)) = R(1 / x,y,z). [para(12(a,1),1021(a,2,1))]. 1136 (1 / x) \ R(1 / x,y,z) = x * R(x \ 1,y,z). [hyper(77,a,1135,a)]. 1137 (x / y) * R((x / y) \ 1,x / y,y) = (1 / (x / y)) \ (y / x). [hyper(71,a,362,a(flip),b,1135,a),flip(a)]. 1139 (1 / x) * ((y / (x * y)) * x) = R(1 / x,x,y). [para(611(a,2),1135(a,1,2))]. 1140 (1 / x) * ((y / (x * y)) * x) = y / (x * y). [hyper(228,a,162,a(flip),b,1139,a)]. 1141 ((x \ y) / y) / (((x \ y) / (x * (x \ y))) * x) = 1 / x. [hyper(72,a,361,a(flip),b,1139,a)]. 1142 T(1 / x,(y / (x * y)) * x) = L(x \ 1,x,y / (x * y)). [hyper(171,a,1140,a,b,354,a)]. 1144 (x * R(x \ 1,y,z)) \ x = R(1 / x,y,z) \ 1. [para(1136(a,1),282(a,1,1))]. 1145 (x \ 1) * R((x \ 1) \ 1,y,z) = x \ R(x,y,z). [para(12(a,1),1023(a,2,2,1))]. 1146 x \ R(x * (y * (x \ 1)),z,u) = (x \ 1) * R(T(y,x \ 1),z,u). [para(32(a,2),1023(a,1,2,1)),flip(a)]. 1147 R(x,y,z) * (x \ 1) = x \ R(x,y,z). [hyper(228,a,601,a(flip),b,1145,a(flip)),flip(a)]. 1148 (x \ R(x,y,z)) / (x \ 1) = R(x,y,z). [hyper(72,a,1145,a(flip),b,601,a(flip))]. 1149 R(x,y,z) \ (x \ R(x,y,z)) = x \ 1. [hyper(71,a,1145,a(flip),b,601,a(flip))]. 1150 (x \ R(x,y,z)) * K(x \ 1,R(x,y,z)) = (x \ 1) * R(x,y,z). [para(1147(a,1),93(a,1,1))]. 1151 (x \ 1) \ (R(x,y,z) \ 1) = (x \ R(x,y,z)) \ 1. [para(1147(a,1),118(a,1,1)),flip(a)]. 1152 T((R(x,y,z) * (1 / x)) / R(x,y,z),x) = (x \ R(x,y,z)) / R(x,y,z). [para(1147(a,1),653(a,2,1))]. 1154 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(1149(a,1),943(a,2,2))]. 1155 (x * R(x \ y,z,u)) * (x \ 1) = R(y * (x \ 1),z,u). [para(598(a,1),1024(a,1,1))]. 1156 (x * ((y \ x) / x)) / (y \ x) = y * ((x * (y \ 1)) / x). [hyper(228,a,805,a(flip),b,1034,a)]. 1157 T(L(x \ 1,x,y) \ 1,y) \ (L(x \ 1,x,y) \ 1) = K(x,y) \ 1. [para(1039(a,2),118(a,1,1)),flip(a)]. 1158 (x * y) * T((x * y) \ y,z) = (x * T(x \ 1,z)) * y. [para(409(a,1),1048(a,2,1))]. 1159 ((x \ (x / y)) * x) * y = x * (y * T(y \ 1,x)). [hyper(228,a,692,a(flip),b,1049,a(flip))]. 1160 x * ((y \ x) * T((y \ x) \ 1,x)) = ((x \ y) * x) * (y \ x). [para(61(a,1),1159(a,1,1,1,2)),flip(a)]. 1161 ((x \ R(1 / y,y,x)) * x) * (y * x) = x * ((y * x) * T((y * x) \ 1,x)). [para(162(a,2),1159(a,1,1,1,2))]. 1162 (x / y) * ((y \ x) * z) = (y \ x) * ((x / y) * z). [para(115(a,1),1063(a,1,2,1))]. 1163 (x \ (x * y)) * (((x * y) / x) * z) = ((x * y) / x) * (y * z). [para(165(a,1),1063(a,1,2,1)),flip(a)]. 1164 (x / y) * ((y \ x) \ 1) = (y \ x) \ (x / y). [hyper(373,a,1162,a),flip(a)]. 1165 (x \ (x * y)) \ ((x * y) / x) = ((x * y) / x) * (y \ 1). [para(13(a,1),1164(a,1,2,1)),flip(a)]. 1166 ((x \ 1) * x) * (x \ y) = y * T(y \ (x \ y),x). [para(115(a,1),1122(a,1,1,1))]. 1167 (x * T(x \ 1,y)) * (x \ z) = z * T(z \ (x \ z),y). [para(409(a,1),1122(a,1,1))]. 1168 K(x \ 1,x) * (x \ y) = y * T(y \ (x \ y),x). [para(189(a,2),1166(a,1,1))]. 1169 L(x * y,z,u) / ((1 / y) \ 1) = (1 / y) * L((1 / y) \ x,z,u). [para(64(a,1),1134(a,1,1,1,2))]. 1170 ((x \ y) / y) / (((x \ y) / y) * x) = 1 / x. [para(14(a,1),1141(a,1,2,1,2))]. 1171 (1 / x) \ ((x \ y) / y) = ((x \ y) / y) * x. [para(1170(a,1),64(a,1,1))]. 1172 x / (((x \ y) / y) \ 1) = ((x \ y) / y) * x. [hyper(228,a,317,a,b,1171,a(flip)),flip(a)]. 1173 R(x * (y \ 1),z,u) / (y \ 1) = y * R(y \ x,z,u). [hyper(85,a,1155,a)]. 1174 T(x,x * T(x \ 1,y)) = x. [hyper(171,a,692,a(flip),b,1158,a(flip))]. 1175 T(x,(x \ 1) * x) = x. [para(113(a,1),1174(a,1,2))]. 1176 R(x,(x * T(x \ 1,y)) / x,x) = T(x,(x * T(x \ 1,y)) / x). [para(1174(a,1),742(a,1,1))]. 1177 T(x \ 1,x \ T(x,y)) = x \ 1. [para(920(a,1),1174(a,1,2))]. 1178 T(1 / x,T(x,y) / x) = 1 / x. [para(956(a,1),1174(a,1,2))]. 1179 R(x,x \ 1,x) = T(x,x \ 1). [para(1175(a,1),738(a,1,1))]. 1180 T(x,x \ 1) \ x = (x \ 1) * x. [para(1179(a,1),391(a,1,1))]. 1181 T(x \ T(x,y),x \ 1) = x \ T(x,y). [hyper(35,a,1177,a)]. 1182 (x \ T(x,y)) * (x \ 1) = (x \ 1) * (x \ T(x,y)). [para(1177(a,1),113(a,1,2))]. 1183 T((x * (1 / y)) / x,T(y,z) / y) = (x * (1 / y)) / x. [para(1178(a,1),417(a,1,1,2)),flip(a)]. 1184 T(x,x \ 1) \ 1 = T(x \ 1,x). [hyper(171,a,1180,a(flip),b,1059,a),flip(a)]. 1185 ((x \ 1) \ 1) \ x = (x \ 1) * x. [para(114(a,1),1180(a,1,1))]. 1187 1 / T(x \ 1,x) = T(x,x \ 1). [para(1184(a,1),61(a,1,2))]. 1188 T(x \ 1,x) = ((x \ 1) \ 1) \ 1. [para(114(a,1),1184(a,1,1)),flip(a)]. 1189 ((x \ 1) \ 1) \ x = K(x \ 1,x). [hyper(228,a,189,a,b,1185,a)]. 1190 ((x \ 1) \ 1) \ x != y | K(x \ 1,x) = y. [para(1185(a,2),315(a,1))]. 1191 T(x \ 1,(x \ 1) \ 1) = T(x \ 1,x). [hyper(228,a,114,a,b,1188,a),flip(a)]. 1192 T((x \ 1) \ 1,x \ 1) = T(x \ 1,x) \ 1. [para(1188(a,2),1188(a,2,1))]. 1193 ((x \ 1) \ 1) * K(x \ 1,x) = x. [para(1189(a,1),14(a,1,2))]. 1195 T((x * y) \ (y * x),y \ 1) = L(y \ T(y,x),y,x). [para(1181(a,1),702(a,1,1)),flip(a)]. 1196 K(x,y) = T((y * x) \ (x * y),x \ 1). [hyper(228,a,701,a,b,1195,a),flip(a)]. 1197 T(K(x,y),x \ 1) = K(x,y). [para(26(a,2),1196(a,2,1)),flip(a)]. 1198 T(x \ 1,K(x,y)) = x \ 1. [hyper(35,a,1197,a)]. 1199 K(x,y) * (x \ 1) = (x \ 1) * K(x,y). [para(1197(a,1),113(a,1,2)),flip(a)]. 1200 (x \ 1) * K(x,y) != z | K(x,y) * (x \ 1) = z. [para(1197(a,1),219(a,1,2))]. 1201 T((x * y) \ x,K(y,z)) = L(y \ 1,y,x). [para(1198(a,1),356(a,2,1))]. 1202 K(x \ 1,x) * ((x \ 1) \ 1) = x. [hyper(228,a,1193,a(flip),b,1199,a)]. 1203 T((x * y) \ x,K(y,z)) = (x * y) \ x. [hyper(228,a,161,a(flip),b,1201,a)]. 1204 T(K(x,y),(z * x) \ z) = K(x,y). [hyper(35,a,1203,a)]. 1205 T(K(x \ 1,y),x) = K(x \ 1,y). [para(123(a,1),1204(a,1,2))]. 1206 T(K(x,y),1 / x) = K(x,y). [para(124(a,1),1204(a,1,2))]. 1207 T(1 / x,K(x,y)) = 1 / x. [hyper(35,a,1206,a)]. 1208 T((1 * x) / y,K(y / x,z)) = R(1 / (y / x),y / x,x). [para(1207(a,1),717(a,1,1)),flip(a)]. 1209 x * K(x \ 1,y) != z | K(x \ 1,y) * x = z. [para(1205(a,1),219(a,1,2))]. 1210 ((x * y) / x) * (y \ 1) = y \ ((x * y) / x). [para(13(a,1),1165(a,1,1)),flip(a)]. 1211 (x * T(x \ (y \ x),z)) / (y \ x) != u | y * T(y \ 1,z) = u. [para(1167(a,1),295(a,1,1)),flip(b)]. 1212 R(x \ 1,y,z) / (x \ 1) = x * R(x \ 1,y,z). [para(11(a,1),1173(a,1,1,1))]. 1213 x * R(x \ (y / (x \ 1)),z,u) = R(y,z,u) / (x \ 1). [para(16(a,1),1173(a,1,1,1)),flip(a)]. 1214 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(1212(a,1),939(a,1,1,2))]. 1215 ((x \ y) / y) * R(((x \ y) / y) \ (((x \ y) / y) * x),z,u) = R(x,z,u) / (((x \ y) / y) \ 1). [para(1172(a,1),1213(a,1,2,1,2))]. 1216 L(K(x,y) \ T(T(x,y),z),K(x,y),y * x) = (x * y) \ ((T(x,z) * y) * x). [para(1031(a,1),466(a,2,2))]. 1217 K(x \ (x / y),x) != z | y * T(y \ 1,x) = z. [para(552(a,1),894(a,1))]. 1218 T(x,y) / x != z | (1 / x) * T((1 / x) \ 1,y) = z. [para(965(a,1),1217(a,1))]. 1219 x * (y * R(T(x,y),z,u)) = R(x,z,u) * (x * y). [hyper(228,a,451,a(flip),b,679,a(flip)),flip(a)]. 1220 R(x,y,z) * (x * u) = x * (R(x,y,z) * u). [para(184(a,1),1219(a,1,2)),flip(a)]. 1221 x \ (R(x,y,z) * u) = R(x,y,z) * (x \ u). [hyper(558,a,1220,a)]. 1222 (R(x,y,z) * u) / (R(x,y,z) * (x \ u)) = x. [hyper(533,a,1220,a)]. 1223 x * (R(x,y,z) * (x \ u)) = R(x,y,z) * u. [hyper(302,a,1220,a),flip(a)]. 1224 R(x,y,z) \ (x * (R(x,y,z) * u)) = x * u. [hyper(77,a,1220,a)]. 1225 x * (R(x,y,z) \ 1) = R(x,y,z) \ x. [hyper(71,a,55,a(flip),b,1220,a),flip(a)]. 1226 (R(x,y,z) * (x \ u)) \ (R(x,y,z) * u) = T(x,R(x,y,z) * (x \ u)). [hyper(171,a,1220,a(flip),b,223,a),flip(a)]. 1227 x * (R(x,y,z) * T(u,x)) = R(x,y,z) * (u * x). [para(113(a,1),1220(a,1,2)),flip(a)]. 1229 R(x,y,z) \ T(R(x,y,z) * (R(x,y,z) \ x),u) = T(x,u) * (R(x,y,z) \ 1). [para(1225(a,1),917(a,1,2,1,2))]. 1230 R(x,y,z) * (x \ (y * z)) = x \ ((x * y) * z). [para(109(a,1),1221(a,1,2)),flip(a)]. 1231 R(x,y,y \ z) * (x \ z) = x \ ((x * y) * (y \ z)). [para(303(a,1),1221(a,1,2)),flip(a)]. 1232 x \ (R(x,y,z) * u) != w | R(x,y,z) * (x \ u) = w. [para(1222(a,1),283(a,1,1)),flip(b)]. 1233 R(x,y,x) * (x \ (y * x)) = T(x * y,x). [hyper(171,a,109,a(flip),b,1223,a),flip(a)]. 1234 R(x,y,x) * T(y,x) = T(x * y,x). [para(32(a,2),1233(a,1,2))]. 1235 R(x,y,x) \ T(x * y,x) = T(y,x). [hyper(77,a,1234,a)]. 1236 R(x,y,z) = (x \ ((x * y) * z)) / (x \ (y * z)). [hyper(85,a,1230,a),flip(a)]. 1237 x \ ((x * (x \ y)) * ((x \ y) \ z)) = ((y * ((x \ y) \ z)) / z) * (x \ z). [para(667(a,1),1231(a,1,1)),flip(a)]. 1238 L((x \ y) / y,z,u) * y = (L(1 / x,z,u) * x) * (x \ y). [para(361(a,1),691(a,1,1,1))]. 1240 x * ((x \ y) * L((x \ y) \ z,u,w)) = y * L(y \ (x * z),u,w). [para(458(a,1),706(a,1,2,1)),flip(a)]. 1241 (x / y) * (y * L(y \ z,u,w)) = x * L(x \ ((x / y) * z),u,w). [para(462(a,1),711(a,1,2,1)),flip(a)]. 1242 x * ((x \ y) * R((x \ y) \ z,u,w)) = y * R(y \ (x * z),u,w). [para(713(a,1),441(a,1,2)),flip(a)]. 1243 (R(x / (y / z),u,w) * (y / z)) * z = R((x * z) / y,u,w) * y. [para(718(a,1),475(a,1,1)),flip(a)]. 1244 (x * y) * L(T(y,x),z,u) = (L(y,z,u) * x) * y. [hyper(228,a,482,a(flip),b,740,a(flip))]. 1245 (x * y) * R(T(y,x),z,u) = (R(y,z,u) * x) * y. [hyper(228,a,483,a(flip),b,741,a(flip))]. 1247 (((x * (y * z)) / (x * y)) * x) * y = (x * y) * R(L(z,y,x),x,y). [para(100(a,1),791(a,1,1,1,1))]. 1248 (x * y) * ((z * ((x * y) \ (x * u))) / z) = x * (y * ((z * (y \ u)) / z)). [para(102(a,1),822(a,1,2,1,2))]. 1249 (x * y) * ((z * ((x * y) \ u)) / z) = x * (y * ((z * (y \ (x \ u))) / z)). [para(222(a,1),822(a,1,2,1,2))]. 1250 (x * y) * ((z * ((x * y) \ (x * u))) / z) != w | x * (y * ((z * (y \ u)) / z)) = w. [para(823(a,1),218(a,1,2))]. 1251 (x * y) * ((z * ((x * y) \ u)) / z) != w | x * (y * ((z * (y \ (x \ u))) / z)) = w. [para(824(a,1),218(a,1,2))]. 1252 (x / y) * (y * ((z * (y \ 1)) / z)) = x * ((z * (x \ (x / y))) / z). [para(825(a,1),442(a,1,2)),flip(a)]. 1253 (1 / x) \ ((y * ((1 / x) * z)) / y) = x * ((y * (x \ z)) / y). [hyper(71,a,826,a(flip),b,193,a)]. 1254 (x \ 1) * ((y * ((x \ 1) \ z)) / y) = x \ ((y * (x * z)) / y). [hyper(71,a,827,a(flip),b,190,a),flip(a)]. 1255 ((x * (y / (1 / z))) / x) * (1 / z) = ((x * (y * z)) / x) / z. [hyper(72,a,832,a(flip),b,195,a),flip(a)]. 1256 (x * y) * T((x * y) \ (y * z),u) = y * (T(x,y) * T(T(x,y) \ z,u)). [para(857(a,1),453(a,1,2))]. 1257 (T(x,y) * z) * T(x,z) = (x * z) * T(T(x,z),y). [hyper(228,a,837,a(flip),b,861,a(flip))]. 1258 T(T(x,x \ 1),y) / T(x,x \ 1) = T(x,y) * (x \ 1). [hyper(72,a,54,a(flip),b,1257,a)]. 1260 T(T(x,x \ 1),y) / T(x,x \ 1) = x \ T(x,y). [hyper(228,a,922,a(flip),b,1258,a)]. 1261 (x * y) * T((x * y) \ (z * y),u) = (T(z / x,u) * x) * y. [para(866(a,1),594(a,1,2))]. 1262 (x * y) / a(z,z \ y,T(x,y)) = L(x,z \ y,z) * y. [hyper(228,a,704,a(flip),b,884,a)]. 1263 (L(x,y \ z,y) * z) \ (x * z) = a(y,y \ z,T(x,z)). [para(1262(a,1),64(a,1,1))]. 1265 L((x \ (y * (x * z))) / z,z,x) = T((z * y) / z,x * z). [hyper(228,a,417,a(flip),b,899,a)]. 1266 L((T(x,y) * (x \ y)) / y,y,x) = (y * K(T(x,y),y)) / y. [para(1052(a,1),900(a,1,1,1))]. 1268 T((1 * x) / y,K(y / x,z)) = x / y. [hyper(228,a,362,a(flip),b,1208,a)]. 1269 T(x / y,K(y / x,z)) = x / y. [para(11(a,1),1268(a,1,1,1))]. 1270 T(x \ y,K(x / y,z)) = T(y / x,x). [para(1269(a,1),185(a,1,1)),flip(a)]. 1271 T(x \ y,K(x / y,z)) = x \ y. [hyper(228,a,115,a(flip),b,1270,a)]. 1272 (x * y) \ ((z * y) * R(x / z,z,y)) = K(z * y,R(x / z,z,y)). [para(16(a,1),478(a,1,1,1))]. 1273 (x * y) * R((x * y) \ (x * z),u,w) != v5 | x * (y * R(y \ z,u,w)) = v5. [para(102(a,1),755(a,1,2,1))]. 1274 (x \ 1) * ((y * ((x \ 1) \ 1)) / y) = x \ ((y * x) / y). [hyper(228,a,1210,a(flip),b,806,a)]. 1277 (x \ y) \ L(x \ y,y \ x,1 / (y \ x)) = L(1 / (y \ x),y \ x,y) * ((x \ y) \ 1). [para(846(a,1),1129(a,1,1)),flip(a)]. 1278 (x * y) * R((x * y) \ y,z,u) = (R(1 / x,z,u) * x) * y. [hyper(804,a,847,a)]. 1279 ((x \ ((x * y) / z)) * x) * z = x * (z * T(z \ y,x)). [hyper(228,a,1049,a(flip),b,851,a(flip)),flip(a)]. 1280 x * (y * T(y \ (x \ z),x)) = ((x \ (z / y)) * x) * y. [para(14(a,1),1279(a,1,1,1,2,1)),flip(a)]. 1281 x * (x * T(x \ T(y,x),x)) = ((x \ y) * x) * x. [para(166(a,1),1279(a,1,1,1,2)),flip(a)]. 1282 x * T(x \ T(y,x),x) = T((x \ y) * x,x). [hyper(172,a,1281,a),flip(a)]. 1283 T((x \ y) * x,x) = (x \ T(y,x)) * x. [hyper(219,a,1282,a),flip(a)]. 1284 T((x \ y) * x,x) / x = x \ T(y,x). [hyper(72,a,1282,a(flip),b,113,a(flip))]. 1286 T(x,y) \ T((y \ x) * y,y) = K(y \ T(x,y),y). [para(1282(a,1),400(a,1,2))]. 1287 x * (T((x \ y) * x,x) / x) = T(y,x). [para(1283(a,2),60(a,1,2,1))]. 1288 T(x * y,y) / y = y \ T(y * x,y). [para(13(a,1),1284(a,1,1,1,1))]. 1290 (x \ T(y,x)) * x != z | T((x \ y) * x,x) = z. [para(1284(a,1),215(a,1,1)),flip(b)]. 1291 x \ T(x * (y / x),x) = T(y,x) / x. [para(65(a,1),1284(a,1,1,1)),flip(a)]. 1292 x * (T(y * x,x) / x) = T(x * y,x). [para(13(a,1),1287(a,1,2,1,1,1))]. 1293 T(x * (y / x),x) = x * (T(y,x) / x). [para(65(a,1),1287(a,1,2,1,1)),flip(a)]. 1294 x \ T(x * T((x * y) / x,z),x) = T(x * T(y,z),x) / x. [para(410(a,1),1288(a,1,1,1)),flip(a)]. 1295 x \ T(x * L((x * y) / x,z,u),x) = T(x * L(y,z,u),x) / x. [para(590(a,1),1288(a,1,1,1)),flip(a)]. 1296 T(x * ((1 / x) * y),x) = x * ((1 / x) * T(y,x)). [para(928(a,1),1292(a,1,2)),flip(a)]. 1297 (x \ 1) * (T(x \ R(x,y,z),x \ 1) / (x \ 1)) = T((x \ 1) * R(x,y,z),x \ 1). [para(1147(a,1),1292(a,1,2,1,1))]. 1298 T(x * y,x) \ T(y * x,x) = K(x \ T(x * y,x),x). [para(13(a,1),1286(a,1,2,1,1))]. 1299 ((x \ (y / (z \ 1))) * x) * (z \ 1) = x * (z \ T(z * (x \ y),x)). [para(868(a,1),1280(a,1,2)),flip(a)]. 1300 ((x \ (y / (1 / z))) * x) * (1 / z) = x * (T((x \ y) * z,x) / z). [para(929(a,1),1280(a,1,2)),flip(a)]. 1301 ((x \ (y / y)) * x) * y = x * (K(x \ 1,x) * (x \ y)). [para(1168(a,2),1280(a,1,2)),flip(a)]. 1302 x * (K(x \ 1,x) * (x \ y)) = ((x \ 1) * x) * y. [para(58(a,1),1301(a,1,1,1,2)),flip(a)]. 1304 x * (K(x \ 1,x) * (x \ y)) = K(x \ 1,x) * y. [para(189(a,2),1302(a,2,1))]. 1305 K(x \ 1,x) * (x * y) = x * (K(x \ 1,x) * y). [para(13(a,1),1304(a,1,2,2)),flip(a)]. 1306 x * (K(x \ 1,x) * T(y,x)) = K(x \ 1,x) * (y * x). [para(32(a,2),1304(a,1,2,2))]. 1307 (x \ 1) * (K(x,x \ 1) * ((x \ 1) \ y)) = K((x \ 1) \ 1,x \ 1) * y. [para(813(a,1),1304(a,1,2,1))]. 1308 K(x \ 1,x) * y != x * (K(x \ 1,x) * z) | x * z = y. [para(1305(a,1),19(a,1)),flip(a)]. 1309 x * (K(x \ 1,x) * (x \ y)) != z | K(x \ 1,x) * y = z. [para(1305(a,1),302(a,1))]. 1310 (K(x \ 1,x) * y) \ (x * (K(x \ 1,x) * y)) = L(T(x,y),y,K(x \ 1,x)). [para(1305(a,1),179(a,1,2))]. 1311 x * (y * T(y \ (x \ y),z)) = (x * T(x \ 1,z)) * y. [hyper(228,a,1158,a(flip),b,852,a(flip))]. 1312 (x * y) * T(y \ (x \ 1),z) = x * (y * T(y \ (x \ 1),z)). [para(118(a,1),852(a,1,2,1))]. 1313 (x * T(x \ 1,y)) * y = x * ((y \ (x \ y)) * y). [para(113(a,1),1311(a,1,2)),flip(a)]. 1314 x * T(y * T(y \ 1,x),x) = y * ((x \ (y \ x)) * x). [hyper(220,a,1313,a)]. 1315 (x * ((y \ (x \ y)) * y)) / y = x * T(x \ 1,y). [hyper(85,a,1313,a)]. 1316 (x * ((x \ 1) * R(x,y,z))) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). [para(1149(a,1),1315(a,1,1,2,1))]. 1317 (T((x * y) / x,z) * x) * y = (x * y) * T(y,z). [hyper(654,a,862,a),flip(a)]. 1318 (x * T(y,z)) * y = (x * y) * T(y,z). [para(410(a,1),1317(a,1,1))]. 1319 (x * y) / T(y,z) = (x / T(y,z)) * y. [hyper(560,a,1318,a)]. 1320 (1 / T(x,y)) * x = x / T(x,y). [hyper(381,a,1318,a),flip(a)]. 1321 (x * T(y,x * y)) * y = y * (x * y). [hyper(228,a,113,a(flip),b,1318,a)]. 1322 ((x / y) * T(y,z)) * y = x * T(y,z). [hyper(228,a,87,a(flip),b,1318,a)]. 1323 (x * T(y,z)) \ ((x * y) * T(y,z)) = y. [hyper(77,a,1318,a)]. 1324 (x * T(y,z)) / y = (x / y) * T(y,z). [hyper(72,a,87,a(flip),b,1318,a)]. 1325 ((x / T(y,z)) / y) * T(y,z) = x / y. [hyper(72,a,68,a(flip),b,1318,a),flip(a)]. 1326 (x * T(y,z)) * y != u * T(y,z) | x * y = u. [para(1318(a,2),20(a,1))]. 1327 (x * (y / z)) * T(y / z,z) = (x * (z \ y)) * (y / z). [para(115(a,1),1318(a,1,1,2)),flip(a)]. 1328 (1 / T(x,y)) \ (x / T(x,y)) = x. [hyper(77,a,1320,a)]. 1329 (1 / T(x,y)) * x != z | x / T(x,y) = z. [para(1328(a,1),213(a,1,2)),flip(b)]. 1330 (1 / T(x,y)) \ (T(x,z) / T(x,y)) = T(x,z). [para(1328(a,1),969(a,2,1))]. 1331 T(x,1 / T(x,y)) / T(x,y) = x * (1 / T(x,y)). [para(1328(a,1),971(a,1,1)),flip(a)]. 1332 (x * y) / T(y,z) != y * u | T(x / T(y,z),y) = u. [para(1319(a,2),172(a,2)),flip(a)]. 1334 (x / y) * T(y,x) = (y * x) / y. [hyper(72,a,113,a(flip),b,1322,a),flip(a)]. 1336 ((x \ y) * y) / (x \ y) = x * T(x \ y,y). [hyper(580,a,1334,a),flip(a)]. 1337 T(x,y) \ ((x * y) / x) = T(y / x,T(x,y)). [hyper(171,a,1334,a,b,14,a),flip(a)]. 1338 T(x,y) = (y / x) \ ((x * y) / x). [hyper(77,a,1334,a),flip(a)]. 1339 ((x * y) / x) / T(y / x,T(x,y)) = T(x,y). [hyper(72,a,1334,a(flip),b,113,a)]. 1341 (L(x \ 1,x,y) * y) / L(x \ 1,x,y) = (y * x) * T(L(x \ 1,x,y),y). [para(359(a,1),1334(a,1,1)),flip(a)]. 1342 (L(x,1 / x,y) * y) / L(x,1 / x,y) = (y * (1 / x)) * T(L(x,1 / x,y),y). [para(388(a,1),1334(a,1,1)),flip(a)]. 1343 x \ ((y * (x * y)) / y) = T(y,x * y). [para(15(a,1),1338(a,2,1)),flip(a)]. 1345 R(T(x,y * T(x,z)),y,T(x,z)) = T(x,y). [para(1323(a,1),1038(a,1,1)),flip(a)]. 1346 R(T(x,L(x,y,x) * y),y,T(x,x * y)) = T(x,y). [para(678(a,1),1345(a,1,1,2))]. 1347 (1 / T(x,y)) * T(x,z) = T(x,z) / T(x,y). [para(1330(a,1),14(a,1,2))]. 1348 (T(x,y) / T(x,z)) / T(x,y) = 1 / T(x,z). [para(1330(a,1),61(a,1,2))]. 1349 T(x,y) \ (T(x,y) / T(x,z)) = T(1 / T(x,z),T(x,y)). [hyper(171,a,1347,a,b,14,a),flip(a)]. 1351 x * T(y,z) != u * y | (u / T(y,z)) * y = x. [para(16(a,1),1326(a,1,1)),flip(a)]. 1352 (x * (y / z)) * (z \ y) = (x * (z \ y)) * (y / z). [para(115(a,1),1327(a,1,2))]. 1353 (x * (y \ (y * z))) * ((y * z) / y) = (x * ((y * z) / y)) * z. [para(165(a,1),1327(a,1,2)),flip(a)]. 1354 (x * (y \ z)) / (z / y) = (x / (z / y)) * (y \ z). [hyper(560,a,1352,a)]. 1355 ((x / (y \ z)) / (z / y)) * (y \ z) = x / (z / y). [hyper(559,a,1352,a),flip(a)]. 1356 K(T(1 / T(x,y),T(x,z)),T(x,z)) / T(x,y) = T(1 / T(x,y),T(x,z)). [para(1349(a,1),940(a,1,1,1))]. 1357 x * (y * T(L(x,z,u),y)) = L(x,z,u) * (x * y). [hyper(219,a,906,a),flip(a)]. 1358 L(x,y,z) * (x * u) = x * (L(x,y,z) * u). [para(113(a,1),1357(a,1,2)),flip(a)]. 1359 x \ (L(x,y,z) * u) = L(x,y,z) * (x \ u). [hyper(558,a,1358,a)]. 1360 L(x,y,z) * (x \ (L(x,y,z) \ u)) = x \ u. [hyper(555,a,1358,a),flip(a)]. 1361 x * (L(x,y,z) * (x \ u)) = L(x,y,z) * u. [hyper(302,a,1358,a),flip(a)]. 1362 L(x,y,z) \ (x * (L(x,y,z) * u)) = x * u. [hyper(77,a,1358,a)]. 1363 L(x,y,z) \ (x * u) = x * (L(x,y,z) \ u). [hyper(71,a,86,a(flip),b,1358,a)]. 1364 x * (L(x,y,z) \ 1) = L(x,y,z) \ x. [hyper(71,a,55,a(flip),b,1358,a),flip(a)]. 1365 (L(x,y,z) * (x \ u)) \ (L(x,y,z) * u) = T(x,L(x,y,z) * (x \ u)). [hyper(171,a,1358,a(flip),b,223,a),flip(a)]. 1366 ((x * y) * L(x,z,u)) \ (x * (L(x,z,u) * y)) = K(L(x,z,u),x * y). [hyper(71,a,1358,a(flip),b,93,a)]. 1370 x \ (L(x,y,z) \ x) = L(x,y,z) \ 1. [hyper(77,a,1364,a)]. 1371 L(L(x,y,z) \ 1,x,1 / x) = (1 / x) * (L(x,y,z) \ x). [para(1364(a,1),193(a,1,2)),flip(a)]. 1372 x \ (L(x,y,z) * (u * x)) = L(x,y,z) * T(u,x). [para(32(a,2),1359(a,2,2))]. 1373 L(x,y,z) \ (x \ u) = x \ (L(x,y,z) \ u). [hyper(77,a,1360,a)]. 1374 x \ (L(x,y,z) \ (u * x)) = L(x,y,z) \ T(u,x). [hyper(71,a,32,a,b,1360,a),flip(a)]. 1376 T((x * y) / x,L(y,z,u) * x) = L((y * x) / x,x,L(y,z,u)). [para(1362(a,1),1265(a,1,1,1)),flip(a)]. 1377 x \ (y * T(y \ (x * z),u)) = (x \ y) * T((x \ y) \ z,u). [hyper(77,a,1029,a)]. 1378 x * ((x \ y) * T((x \ y) \ 1,z)) = y * T(y \ x,z). [para(12(a,1),1029(a,2,2,1,2))]. 1379 (x \ y) * T((x \ y) \ 1,z) = x \ (y * T(y \ x,z)). [hyper(77,a,1378,a),flip(a)]. 1380 x * T(x \ y,y \ x) = y * K((y \ x) \ 1,y \ x). [para(269(a,1),1378(a,1,2)),flip(a)]. 1381 x * T(x \ y,z) = y * K(z \ (z / (y \ x)),z). [para(936(a,2),1378(a,1,2)),flip(a)]. 1382 T(x * y,z) / y = x * K(z \ (z / (x \ (1 / y))),z). [hyper(970,a,1381,a)]. 1383 K(x \ (x / (y \ z)),x) = y \ (z * T(z \ y,x)). [hyper(437,a,1381,a),flip(a)]. 1384 (x \ y) * K(z \ (z / ((x \ y) \ (x \ 1))),z) = x \ T(y,z). [hyper(228,a,921,a(flip),b,1381,a(flip))]. 1385 (x * y) * K(z \ (z / ((x * y) \ x)),z) = x * T(y,z). [para(13(a,1),1381(a,1,2,1)),flip(a)]. 1386 (x * (y * z)) * T((x * (y * z)) \ (x * y),u) = (x * y) * K(u \ (u / L(z,y,x)),u). [para(28(a,2),1381(a,2,2,1,2,2))]. 1387 K((x * (y \ z)) \ x,x * (y \ z)) = y \ (z * T(z \ y,x * (y \ z))). [para(15(a,1),1383(a,1,1,2))]. 1388 K(x \ (x / (y \ (y / z))),x) = y \ ((y / z) * T(z,x)). [para(64(a,1),1383(a,2,2,2,1))]. 1389 (x * y) * K(((x * y) \ x) \ 1,(x * y) \ x) = x * T(y,(x * y) \ x). [para(13(a,1),1380(a,1,2,1)),flip(a)]. 1390 (x / y) * K(z \ (z / ((x / y) \ (1 / y))),z) = T(x,z) / y. [para(16(a,1),1382(a,1,1,1)),flip(a)]. 1391 K(x \ (x / (x \ (x / y))),x) = x \ ((y * x) / y). [para(1334(a,1),1388(a,2,2))]. 1392 (T(x / (y / z),u) * (y / z)) * z = y * T(y \ (x * z),u). [hyper(228,a,409,a(flip),b,1030,a)]. 1393 (x \ y) * (T(y / x,z) \ 1) = T(y / x,z) \ (x \ y). [para(115(a,1),1083(a,1,2)),flip(a)]. 1394 T(x / (y \ x),z) \ ((y \ x) \ x) = ((y \ x) \ x) * (T(y,z) \ 1). [para(61(a,1),1393(a,1,2,1,1)),flip(a)]. 1395 ((x \ y) * x) * (y \ x) = x * (y \ ((x \ y) * x)). [para(892(a,1),1160(a,1,2)),flip(a)]. 1396 ((x \ y) * x) * (y \ x) = x * K(x \ y,x). [para(94(a,1),1395(a,2,2))]. 1397 (x * y) * ((y * x) \ y) = y * K(y \ (y * x),y). [para(13(a,1),1396(a,1,1,1))]. 1398 (x * y) * ((y * x) \ y) = y * K(x,y). [para(13(a,1),1397(a,2,2,1))]. 1399 x \ (y * K(x / y,y)) = (y * (x / y)) \ y. [hyper(237,a,1398,a)]. 1400 (x * y) * L(x \ 1,x,y) = y * K(x,y). [hyper(228,a,353,a,b,1398,a(flip)),flip(a)]. 1402 ((x * y) / x) * (y * z) = y * (((x * y) / x) * z). [para(13(a,1),1163(a,1,1)),flip(a)]. 1403 x \ (((y * x) / y) * z) = ((y * x) / y) * (x \ z). [hyper(558,a,1402,a)]. 1404 ((x * y) / x) \ (y * z) = y * (((x * y) / x) \ z). [hyper(71,a,86,a(flip),b,1402,a)]. 1405 x * (((y * x) / y) \ 1) = ((y * x) / y) \ x. [hyper(71,a,55,a(flip),b,1402,a),flip(a)]. 1406 (((x / y) * T(y,z)) / (x / y)) \ T(y,z) = T(y,z) * (T(x / (x / y),z) \ 1). [para(422(a,1),1405(a,1,2,1)),flip(a)]. 1407 ((x * y) / x) * (y \ ((((x * y) / x) \ y) * z)) = L(z,((x * y) / x) \ y,(x * y) / x). [hyper(707,a,1403,a),flip(a)]. 1408 (L(1 / x,y,z) * x) * (x \ u) = u * L(u \ (x \ u),y,z). [hyper(797,a,1238,a),flip(a)]. 1409 (1 / x) \ ((y * (1 / x)) / y) = x * ((y * (x \ 1)) / y). [para(12(a,1),1253(a,1,2,1,2))]. 1410 x \ ((y * (x * y)) / y) = T(y,y / (x \ 1)). [hyper(1114,a,1254,a),flip(a)]. 1411 T(x,x / (y \ 1)) = T(x,y * x). [hyper(228,a,1343,a(flip),b,1410,a(flip))]. 1412 ((x * (x * y)) / x) / y = T(x,x / (1 / y)). [hyper(1097,a,1255,a),flip(a)]. 1413 (1 / x) * ((y * ((1 / x) \ z)) / y) = ((y * (z * x)) / y) / x. [hyper(912,a,1255,a)]. 1414 T(x,x / (1 / (x \ y))) = ((x * y) / x) / (x \ y). [para(14(a,1),1412(a,1,1,1,2)),flip(a)]. 1415 x * (y * T(y \ (x \ (z * y)),u)) = (T(z / x,u) * x) * y. [hyper(228,a,852,a(flip),b,1261,a(flip)),flip(a)]. 1416 (x * y) * T((x * y) \ (z * y),u) = (x * T(x \ z,u)) * y. [para(409(a,1),1261(a,2,1))]. 1417 (x * y) * R((x * y) \ y,z,u) = (x * R(x \ 1,z,u)) * y. [para(598(a,1),1278(a,2,1))]. 1418 R(x,y,T(y \ (x \ 1),z)) = x. [hyper(476,a,1312,a)]. 1419 R(x,y,y \ (x \ 1)) = x. [para(112(a,1),1418(a,1,3))]. 1420 (R(x,y,z) * u) * (u \ (x \ 1)) = R(x,y,z) * (u * (u \ (x \ 1))). [para(1419(a,1),483(a,1,1,1)),flip(a)]. 1421 (x * ((y * z) / y)) * z = (x * z) * ((y * z) / y). [para(13(a,1),1353(a,1,1,2)),flip(a)]. 1422 (x * y) / ((z * y) / z) = (x / ((z * y) / z)) * y. [hyper(560,a,1421,a)]. 1423 (1 / x) * ((y * x) / y) = ((y * x) / y) / x. [hyper(72,a,62,a(flip),b,1421,a),flip(a)]. 1424 ((x * (y \ 1)) / x) / (y \ 1) = y * ((x * (y \ 1)) / x). [hyper(72,a,54,a(flip),b,1421,a)]. 1425 ((x / y) * y) * ((x * y) / x) = T(x,x / (x / y)) * y. [para(1099(a,1),1421(a,1,1)),flip(a)]. 1426 T(x,x / (x / y)) * y = x * ((x * y) / x). [hyper(300,a,1425,a),flip(a)]. 1427 T(x,x / (x / y)) * (x \ y) = (x * y) / x. [hyper(1069,a,1426,a)]. 1430 T(x,x / (x / T(y,x))) * T(y,x) = x * y. [para(166(a,1),1426(a,2,2))]. 1431 ((x * y) / x) / (x \ y) = T(x,x / (x / y)). [hyper(85,a,1427,a)]. 1432 T(x,x / (x / T(y,x))) * (y * x) = x * (x * y). [para(1430(a,1),1062(a,1,2)),flip(a)]. 1433 T(x,x / (1 / (x \ y))) = T(x,x / (x / y)). [hyper(228,a,1414,a,b,1431,a(flip)),flip(a)]. 1434 T(x,x / (x / (x * y))) = T(x,x / (1 / y)). [para(13(a,1),1433(a,1,2,2,2)),flip(a)]. 1435 T(x,x / (x / T(y,x))) = (x * (x * y)) / (y * x). [hyper(85,a,1432,a),flip(a)]. 1436 (x * (x * y)) / (y * x) = (x / T(y,x)) * y. [hyper(228,a,1112,a(flip),b,1435,a(flip))]. 1437 R(((x * (x * y)) / x) / y,y,x) = (x / T(y,x)) * y. [hyper(777,a,1436,a)]. 1438 R(T(x,x / (1 / y)),y,x) = (x / T(y,x)) * y. [para(1412(a,1),1437(a,1,1))]. 1439 (x \ y) * T((x \ y) \ (x \ z),u) = x \ (y * T(y \ z,u)). [para(14(a,1),1377(a,1,2,2,1,2)),flip(a)]. 1440 ((x / y) * T((x / y) \ z,u)) * y = x * T(x \ (z * y),u). [para(409(a,1),1392(a,1,1))]. 1441 (x * L(x \ 1,y,z)) * (x \ u) = u * L(u \ (x \ u),y,z). [para(588(a,1),1408(a,1,1))]. 1442 (1 / x) * ((y * ((1 / x) \ 1)) / y) = ((y * x) / y) / x. [para(11(a,1),1413(a,2,1,1,2))]. 1443 x * (y * T(y \ (x \ (z * y)),u)) = (x * T(x \ z,u)) * y. [para(409(a,1),1415(a,2,1))]. 1444 ((x * y) * T((x * y) \ x,z)) * y = (x * y) * (y * T(y \ 1,z)). [hyper(228,a,692,a(flip),b,1416,a(flip))]. 1445 x * T(x \ (x \ (y * x)),z) = T(x * T(x \ y,z),x). [hyper(171,a,1416,a(flip),b,852,a(flip)),flip(a)]. 1447 T(x * T(x \ y,z),x) = x * T(x \ T(y,x),z). [para(32(a,2),1445(a,1,2,1,2)),flip(a)]. 1448 x \ T(x * T(x \ y,z),x) = T(x \ T(y,x),z). [hyper(71,a,1447,a,b,xx)]. 1449 x \ T(x * T(y,z),x) = T(x \ T(x * y,x),z). [para(13(a,1),1448(a,1,2,1,2,1))]. 1451 x \ T(x * T(y / x,z),x) = T(T(y,x) / x,z). [para(1291(a,1),1449(a,2,1))]. 1452 T(x * T(y,z),x) / x = T(T(x * y,x) / x,z). [hyper(228,a,1294,a(flip),b,1451,a(flip)),flip(a)]. 1453 T(x * T(y / x,z),x) = x * T(T(y,x) / x,z). [para(1451(a,1),14(a,1,2)),flip(a)]. 1454 T(x * T(1 / x,y),x) = x * T(1 / x,y). [para(146(a,1),1453(a,2,2,1,1))]. 1455 T(x,x * R(x \ 1,y,z)) = x. [hyper(171,a,840,a(flip),b,1417,a(flip))]. 1457 T(1 / x,(1 / x) * R(x,y,z)) = 1 / x. [para(64(a,1),1455(a,1,2,2,1))]. 1458 T(x,(y / (x * y)) * x) = x. [para(611(a,2),1455(a,1,2))]. 1459 T(x \ 1,R(x,y,z) * (x \ 1)) = x \ 1. [para(601(a,1),1455(a,1,2))]. 1460 T(x \ 1,x \ R(x,y,z)) = x \ 1. [para(1145(a,1),1455(a,1,2))]. 1461 T(x,y / (x * y)) * T(y / (x * y),x) = T(x * (y / (x * y)),x). [para(1458(a,1),1077(a,1,1,1)),flip(a)]. 1462 T(x \ R(x,y,z),x \ 1) = x \ R(x,y,z). [hyper(35,a,1460,a)]. 1463 (R(x,y,z) * (1 / x)) / R(x,y,z) = L(1 / x,R(x,y,z),1 / x). [para(1457(a,1),681(a,1,1,2))]. 1464 R(x \ 1,R(x,y,z),x \ 1) = T(x \ 1,R(x,y,z)). [para(1459(a,1),738(a,1,1))]. 1465 T(x \ 1,R(x,y,z)) \ T((x \ 1) * R(x,y,z),x \ 1) = T(R(x,y,z),x \ 1). [para(1464(a,1),1235(a,1,1))]. 1466 T(x,y) * T((y \ (x * y)) \ (y \ z),u) = y \ ((x * y) * T((x * y) \ z,u)). [para(32(a,2),1439(a,1,1))]. 1467 (x * (y * T(y \ (x \ (z * u)),w))) / u = ((x * y) / u) * T(((x * y) / u) \ z,w). [hyper(72,a,852,a(flip),b,1440,a)]. 1468 (x / y) * T((x / y) \ z,x) = ((x \ (z * y)) * x) / y. [hyper(72,a,113,a(flip),b,1440,a),flip(a)]. 1469 ((x / y) * T((x / y) \ 1,z)) * y = x * T(x \ y,z). [para(11(a,1),1440(a,2,2,1,2))]. 1470 (x / y) * T((x / y) \ 1,z) = (x * T(x \ y,z)) / y. [hyper(85,a,1469,a),flip(a)]. 1471 K((x / y) \ 1,x / y) * y = x * T(x \ y,x / y). [para(269(a,1),1469(a,1,1))]. 1472 K(x \ (x / (y / z)),x) * z = y * T(y \ z,x). [para(936(a,2),1469(a,1,1))]. 1473 K(x \ (x / (y / z)),x) = (y * T(y \ z,x)) / z. [hyper(85,a,1472,a),flip(a)]. 1474 K(x \ (x / ((y * z) / y)),x) = (y * (z * T(z \ 1,x))) / y. [hyper(72,a,692,a(flip),b,1472,a),flip(a)]. 1475 K(x \ (x / R(y,z,u)),x) = (((y * z) * u) * T(((y * z) * u) \ (z * u),x)) / (z * u). [para(30(a,2),1473(a,1,1,2,2))]. 1476 K(x \ (x / ((y \ x) / T(x,y))),x) = ((y \ x) * ((y \ x) \ x)) / T(x,y). [para(1103(a,1),1473(a,2,1,2))]. 1477 K((x / (y * x)) \ 1,x / (y * x)) * (y * x) = T(y,x / (y * x)) * x. [hyper(228,a,407,a(flip),b,1471,a)]. 1478 T(x * ((1 / x) * ((1 / x) \ (x \ (y * (1 / x))))),x) = (x * T(x \ y,x)) * (1 / x). [hyper(228,a,1296,a,b,1443,a(flip)),flip(a)]. 1479 x * ((y \ z) * T((y \ z) \ (x \ z),u)) = (x * T(x \ y,u)) * (y \ z). [para(14(a,1),1443(a,1,2,2,1,2,2))]. 1480 (x * T(x \ (y / z),u)) * z = x * (z * T(z \ (x \ y),u)). [para(16(a,1),1443(a,1,2,2,1,2,2)),flip(a)]. 1481 ((x * y) * T((x * y) \ x,z)) * u = (x * y) * (u * T(u \ L(y \ u,y,x),z)). [para(102(a,2),1443(a,1,2,2,1,2)),flip(a)]. 1482 K(x \ (x / ((y * x) / y)),x) = (y * K(x \ 1,x)) / y. [para(269(a,1),1474(a,2,1,2))]. 1483 ((x * y) / x) \ ((x * K(y \ 1,y)) / x) = T(((x * y) / x) \ 1,y). [hyper(71,a,1482,a(flip),b,936,a(flip))]. 1484 x \ (y * (x * T(x \ (y \ z),u))) != w | T(y * T(y \ (z / x),u),x) = w. [para(1480(a,1),285(a,1,2))]. 1485 (x \ 1) * (y * T(y \ ((x \ 1) \ z),u)) = (x \ T(x * (z / y),u)) * y. [para(868(a,1),1480(a,1,1)),flip(a)]. 1486 ((x / y) * K(y \ 1,y)) * y = x * (y * T(y \ (x \ x),y)). [para(973(a,2),1480(a,1,1))]. 1487 ((x / y) * K(y \ 1,y)) * y = x * (y * T(y \ 1,y)). [para(52(a,1),1486(a,2,2,2,1,2))]. 1489 ((x / y) * K(y \ 1,y)) * y = x * ((y \ 1) * y). [para(113(a,1),1487(a,2,2))]. 1490 ((x / y) * K(y \ 1,y)) * y = x * K(y \ 1,y). [para(269(a,1),1487(a,2,2))]. 1491 (R(x,y \ 1,y) / y) * K(y \ 1,y) = x * (y \ 1). [hyper(18,a,109,a(flip),b,1489,a)]. 1492 (x * K(y \ 1,y)) * y = (x * y) * K(y \ 1,y). [para(15(a,1),1490(a,1,1,1))]. 1493 (L(1 / x,x,y) * K(x \ 1,x)) * x = (x * ((y * x) \ y)) * K(x \ 1,x). [para(782(a,1),1490(a,1,1,1))]. 1494 ((x / K(y \ 1,y)) * y) * K(y \ 1,y) = x * y. [hyper(300,a,1492,a),flip(a)]. 1495 ((x * (y \ 1)) / K(y \ 1,y)) * y = R(x,y \ 1,y). [hyper(18,a,487,a,b,1494,a)]. 1496 (x * (y \ 1)) / K(y \ 1,y) != z | R(x,y \ 1,y) / y = z. [para(1491(a,1),295(a,1,1)),flip(b)]. 1497 ((x * y) \ (x * z)) / (y \ z) = a(1 / (x * z),x,y). [hyper(228,a,638,a(flip),b,327,a(flip)),flip(a)]. 1498 a(1 / (x * (x \ y)),x,z) = ((x * z) \ y) / (z \ (x \ y)). [para(14(a,1),1497(a,1,1,2)),flip(a)]. 1499 x * ((x \ y) * ((z * ((x \ y) \ u)) / z)) = y * ((z * (y \ (x * u))) / z). [para(828(a,1),441(a,1,2)),flip(a)]. 1500 (x * y) * L((x * y) \ (y * z),u,w) = y * (T(x,y) * L(T(x,y) \ z,u,w)). [para(465(a,1),855(a,1,2,1))]. 1501 ((x \ y) * (y \ x)) \ (y \ x) = (x \ y) \ 1. [para(351(a,1),1007(a,1,2))]. 1502 (x \ y) / ((y \ x) \ 1) = (y \ x) * (x \ y). [para(1501(a,1),61(a,1,2))]. 1503 (1 / (x \ y)) \ (y \ x) = (y \ x) * (x \ y). [hyper(319,a,1502,a)]. 1504 (x \ (x * y)) * ((x * y) \ x) = (1 / ((x * y) \ x)) \ y. [para(13(a,1),1503(a,1,2)),flip(a)]. 1505 (1 / (x \ y)) * ((y \ x) * (x \ y)) = y \ x. [para(1503(a,1),14(a,1,2))]. 1506 T(1 / (x \ y),(y \ x) * (x \ y)) = ((y \ x) * (x \ y)) \ (y \ x). [hyper(171,a,1505,a,b,14,a)]. 1508 (1 / ((x * y) \ x)) \ y = y * ((x * y) \ x). [para(13(a,1),1504(a,1,1)),flip(a)]. 1509 (1 / ((x * y) \ x)) * (y * ((x * y) \ x)) = y. [para(1508(a,1),14(a,1,2))]. 1510 (1 / (x / y)) \ (y / x) = (y / x) * (x / y). [hyper(228,a,732,a(flip),b,1137,a(flip))]. 1511 (x / y) / ((y / x) \ 1) = (y / x) * (x / y). [hyper(228,a,317,a,b,1510,a(flip)),flip(a)]. 1512 (1 / (x / y)) * ((y / x) * (x / y)) = y / x. [para(1510(a,1),14(a,1,2))]. 1513 (x / (y \ x)) * ((y \ x) / x) = (1 / ((y \ x) / x)) \ y. [para(61(a,1),1510(a,1,2)),flip(a)]. 1514 ((x / y) * (y / x)) * ((x / y) \ 1) = y / x. [para(1511(a,1),16(a,1,1))]. 1516 T(1 / (x / y),(y / x) * (x / y)) = ((y / x) * (x / y)) \ (y / x). [hyper(171,a,1512,a,b,14,a)]. 1518 (1 / ((x \ y) / y)) \ x = x * ((x \ y) / y). [hyper(580,a,1513,a),flip(a)]. 1520 ((x \ y) / y) / (x \ 1) = x * ((x \ y) / y). [hyper(228,a,317,a,b,1518,a(flip)),flip(a)]. 1521 (x * ((x \ y) / y)) * (x \ 1) = (x \ y) / y. [para(1520(a,1),16(a,1,1))]. 1522 (x * ((x \ y) / y)) * (x \ 1) = R(1 / x,x,x \ y). [hyper(228,a,361,a,b,1521,a)]. 1523 T(x,(x * T(x \ 1,y)) / x) = R(x,T(1 / x,y),x). [para(412(a,1),1176(a,1,2)),flip(a)]. 1524 R(x,T(1 / x,y),x) = T(x,T(1 / x,y)). [para(412(a,1),1523(a,1,2)),flip(a)]. 1525 R(R(x,y,z),T(1 / x,u),x) = R(T(x,T(1 / x,u)),y,z). [para(1524(a,1),46(a,1,1)),flip(a)]. 1526 T(x,T(1 / x,y)) * T(T(1 / x,y),x) = T(x * T(1 / x,y),x). [para(1524(a,1),1234(a,1,1))]. 1527 T((x * y) / x,L(y,z,u) * x) = L(y,x,L(y,z,u)). [para(15(a,1),1376(a,2,1))]. 1528 x * T(y,L(y,z,u) * x) = L(y,x,L(y,z,u)) * x. [para(1527(a,1),410(a,1,1)),flip(a)]. 1529 L(T(x,y),y,L(x,z,u)) = T(x,L(x,z,u) * y). [hyper(17,a,183,a,b,1528,a),flip(a)]. 1530 T(x \ (1 \ (y * z)),z \ (y \ 1)) = (z \ (y \ 1)) \ (x \ 1). [para(58(a,1),635(a,1,1,2,1))]. 1531 T(x \ (y * z),z \ (y \ 1)) = (z \ (y \ 1)) \ (x \ 1). [para(51(a,1),1530(a,1,1,2))]. 1533 R((x * y) / (x * z),u,w) * (x * z) = x * (z * R(z \ y,u,w)). [hyper(606,a,983,a)]. 1534 x * (y * R(y \ (x \ y),z,u)) = (x * R(x \ 1,z,u)) * y. [hyper(228,a,1417,a(flip),b,984,a(flip))]. 1535 (L((x * y) / x,z,u) * x) * y = (x * y) * L(y,z,u). [hyper(821,a,989,a),flip(a)]. 1536 (x * y) * L((x * y) \ (z * y),u,w) = (L(z / x,u,w) * x) * y. [hyper(797,a,989,a)]. 1537 (x * L(y,z,u)) * y = (x * y) * L(y,z,u). [para(590(a,1),1535(a,1,1))]. 1538 (x * y) / L(y,z,u) = (x / L(y,z,u)) * y. [hyper(560,a,1537,a)]. 1539 ((x / L(y,z,u)) * y) \ (x * y) = L(y,z,u). [hyper(536,a,1537,a)]. 1540 (1 / L(x,y,z)) * x = x / L(x,y,z). [hyper(381,a,1537,a),flip(a)]. 1541 ((1 / L(x,y,z)) * x) * L(x,y,z) = x. [hyper(151,a,1537,a),flip(a)]. 1542 (x * L(y,z,u)) / y = (x / y) * L(y,z,u). [hyper(72,a,87,a(flip),b,1537,a)]. 1543 ((x / y) * L(y,z,u)) \ (x * L(y,z,u)) = y. [hyper(71,a,87,a(flip),b,1537,a)]. 1544 ((x * y) * L(y,z,u)) \ (y * (x * L(y,z,u))) != w | K(y,x * L(y,z,u)) = w. [para(1537(a,1),286(a,1,1))]. 1545 (x * y) / L(y,z,u) != w | (x / L(y,z,u)) * y = w. [para(1539(a,1),293(a,1,2)),flip(b)]. 1546 ((x * y) / z) * L(z,y,x) = (x * (y * z)) / z. [para(100(a,1),1542(a,1,1)),flip(a)]. 1547 L(x,y,z) = ((z * y) / x) \ ((z * (y * x)) / x). [hyper(77,a,1546,a),flip(a)]. 1548 (x * (y * z)) / z != L(z,y,x) * u | T((x * y) / z,L(z,y,x)) = u. [para(1546(a,1),172(a,2)),flip(a)]. 1549 ((x * (y / z)) / z) \ ((x * y) / z) = L(z,y / z,x). [para(16(a,1),1547(a,2,2,1,2)),flip(a)]. 1550 (L((x / y) / z,u,w) * z) * y = (z * y) * L((z * y) \ x,u,w). [hyper(228,a,588,a(flip),b,990,a)]. 1551 (x * y) * R((x * y) \ (z * y),u,w) = (R(z / x,u,w) * x) * y. [hyper(804,a,991,a)]. 1552 x * (y * ((x * (y \ 1)) / x)) = T(x,x / (x * y)). [hyper(1114,a,1032,a),flip(a)]. 1553 x \ T(x,x / (x * y)) = y * ((x * (y \ 1)) / x). [hyper(71,a,1098,a(flip),b,1032,a(flip))]. 1554 (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(100(a,1),1032(a,1,1))]. 1556 (x * ((y * (x \ 1)) / y)) / (y \ 1) = T(y,y / (y * x)). [hyper(72,a,1553,a(flip),b,922,a)]. 1557 (x * ((x \ R(x,y,z)) / R(x,y,z))) / (R(x,y,z) \ 1) = T(R(x,y,z),R(x,y,z) / (R(x,y,z) * x)). [para(1147(a,1),1556(a,1,1,2,1))]. 1558 (x * y) * ((z * ((x * y) \ y)) / z) = (((z * (1 / x)) / z) * x) * y. [hyper(912,a,1036,a)]. 1559 ((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(109(a,1),1036(a,1,2))]. 1560 (((x * y) / x) * (y \ 1)) * x = T(x,R(y,y \ 1,x)). [hyper(834,a,1091,a)]. 1561 (x \ ((y * x) / y)) * y = T(y,R(x,x \ 1,y)). [para(1210(a,1),1560(a,1,1))]. 1562 T(x,R(y,y \ 1,x)) / x = y \ ((x * y) / x). [hyper(85,a,1561,a)]. 1563 T(x,R(T(y,x),T(y,x) \ 1,x)) = (T(y,x) \ y) * x. [para(166(a,1),1561(a,1,1,2)),flip(a)]. 1564 T(x,R(y,y \ 1,x)) / x != z | y \ ((x * y) / x) = z. [para(1561(a,1),295(a,1,1)),flip(b)]. 1565 (1 / x) \ ((y * (1 / x)) / y) = T(y,R(1 / x,x,y)) / y. [para(64(a,1),1562(a,1,1,2,2)),flip(a)]. 1566 T(x,R(1 / y,y,x)) / x = y * ((x * (y \ 1)) / x). [hyper(228,a,1409,a(flip),b,1565,a(flip))]. 1567 (x * ((y * (x \ 1)) / y)) * y = T(y,R(1 / x,x,y)). [para(1566(a,1),16(a,1,1))]. 1568 (T(x,y) * ((T(x,y) \ x) / x)) * x = T(x,R(1 / T(x,y),T(x,y),x)). [para(1059(a,1),1567(a,1,1,2,1))]. 1569 T(x,R(1 / y,y,x)) = (x \ T(x,x / (x * y))) * x. [para(1553(a,2),1567(a,1,1)),flip(a)]. 1570 x \ R(x * (y * (x \ 1)),z,u) = R(y,z,u) * (x \ 1). [hyper(228,a,184,a(flip),b,1146,a)]. 1571 T(x,y) \ R(T(x,y) * (T(x,y) \ x),z,u) = R(x,z,u) * (T(x,y) \ 1). [para(1059(a,1),1570(a,1,2,1,2))]. 1572 (1 / x) * L((1 / x) \ y,z,u) = L(y * x,z,u) / x. [para(64(a,1),1169(a,1,2)),flip(a)]. 1573 (1 / x) * L((1 / x) \ 1,y,z) = L(x,y,z) / x. [para(11(a,1),1572(a,2,1,1))]. 1574 L(1 / (1 / x),y,z) \ 1 = (L(x,y,z) / x) \ (1 / x). [para(1573(a,1),997(a,1,1)),flip(a)]. 1575 x \ (y * L(y \ (x * z),u,w)) = (x \ y) * L((x \ y) \ z,u,w). [hyper(77,a,1240,a)]. 1576 (x / y) * (y * L(y \ ((x / y) \ z),u,w)) = x * L(x \ z,u,w). [para(14(a,1),1241(a,2,2,1,2))]. 1577 x \ (y * R(y \ (x * z),u,w)) = (x \ y) * R((x \ y) \ z,u,w). [hyper(77,a,1242,a)]. 1578 (R(1 / (x / y),z,u) * (x / y)) * y = R(y / x,z,u) * x. [para(11(a,1),1243(a,2,1,1,1))]. 1579 (R(1 / (x / y),z,u) * (x / y)) * y = x * R(x \ y,z,u). [hyper(228,a,598,a(flip),b,1578,a)]. 1580 ((x / y) * R((x / y) \ 1,z,u)) * y = x * R(x \ y,z,u). [para(598(a,1),1579(a,1,1))]. 1581 (x / y) * R((x / y) \ 1,z,u) = (x * R(x \ y,z,u)) / y. [hyper(85,a,1580,a),flip(a)]. 1582 (((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(30(a,2),1581(a,1,1)),flip(a)]. 1583 (((x * (y * z)) / (x * y)) * x) * y = x * (y * R(z,x,y)). [hyper(228,a,451,a(flip),b,1247,a)]. 1584 (((x * (y * z)) / (x * z)) * x) * z = x * (z * R(T(y,z),x,z)). [para(113(a,1),1583(a,1,1,1,1,2))]. 1585 (((x * (y * z)) / (x * z)) * x) * z = x * (R(y,x,z) * z). [para(184(a,1),1584(a,2,2))]. 1586 (x / y) \ (x * ((z * (x \ (x / y))) / z)) = y * ((z * (y \ 1)) / z). [hyper(77,a,1252,a)]. 1587 ((x \ y) \ y) * (T(x,z) \ 1) = T(x,z) \ ((x \ y) \ y). [para(61(a,1),1394(a,1,1,1)),flip(a)]. 1588 (R(x,y,z) * u) * (u \ (x \ 1)) != w | R(x,y,z) * (x \ 1) = w. [para(1420(a,2),302(a,1))]. 1589 (x * (y * T(y \ 1,z))) * y = (x * y) * (y * T(y \ 1,z)). [para(692(a,1),1444(a,1,1))]. 1590 T(x,y / (x * y)) * R(x \ 1,x,y) = T(x * (y / (x * y)),x). [para(605(a,1),1461(a,1,2))]. 1591 T(x,T(1 / x,y)) * T(x \ 1,y) = T(x * T(1 / x,y),x). [para(185(a,1),1526(a,1,2))]. 1592 T(x,T(1 / x,y)) * T(x \ 1,y) = x * T(1 / x,y). [hyper(228,a,1454,a(flip),b,1591,a)]. 1593 R((x * y) / (x * z),u,w) * (x * z) = x * (R(y / z,u,w) * z). [para(598(a,2),1533(a,2,2))]. 1594 (x * y) * L((x * y) \ (z * y),u,w) = (x * L(x \ z,u,w)) * y. [para(588(a,1),1536(a,2,1))]. 1595 (x * L(x \ (y / z),u,w)) * z = (x * z) * L((x * z) \ y,u,w). [para(588(a,1),1550(a,1,1))]. 1596 (x * y) * R((x * y) \ (z * y),u,w) = (x * R(x \ z,u,w)) * y. [para(598(a,1),1551(a,2,1))]. 1597 (x * y) * ((z * ((x * y) \ y)) / z) = (x * ((z * (x \ 1)) / z)) * y. [para(805(a,1),1558(a,2,1))]. 1598 (x \ y) * L((x \ y) \ 1,z,u) = x \ (y * L(y \ x,z,u)). [para(12(a,1),1575(a,1,2,2,1,2)),flip(a)]. 1599 (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(28(a,2),1598(a,1,1)),flip(a)]. 1600 (x \ y) * R((x \ y) \ 1,z,u) = x \ (y * R(y \ x,z,u)). [para(12(a,1),1577(a,1,2,2,1,2)),flip(a)]. 1601 (x / y) \ (x * ((x / y) / x)) = y * ((x * (y \ 1)) / x). [para(14(a,1),1586(a,1,2,2,1))]. 1602 K(x,(x / y) / x) = y * ((x * (y \ 1)) / x). [hyper(428,a,1601,a)]. 1603 x * ((y * (x \ 1)) / y) != z | K(y,(y / x) / y) = z. [para(1601(a,1),428(a,1))]. 1604 K(x,(x / (y \ 1)) / x) = y \ ((x * y) / x). [hyper(228,a,1274,a(flip),b,1602,a)]. 1605 (x \ y) * ((y * ((x \ y) \ 1)) / y) = K(y,x / y). [para(61(a,1),1602(a,1,2,1)),flip(a)]. 1606 x * ((T(x,y) * (x \ 1)) / T(x,y)) = K(T(x,y),1 / x). [para(959(a,1),1602(a,1,2)),flip(a)]. 1607 x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = K(L(x,y,z),1 / x). [para(1014(a,1),1602(a,1,2)),flip(a)]. 1608 T(x,y) * ((T(x,z) * (T(x,y) \ 1)) / T(x,z)) = K(T(x,z),1 / T(x,y)). [para(1348(a,1),1602(a,1,2)),flip(a)]. 1609 x * K(x,(x / y) / x) = T(x,x / (x * y)). [para(1602(a,2),1552(a,1,2))]. 1610 K(x,(x / ((T(x,y) \ 1) \ 1)) / x) = (T(x,y) \ 1) \ ((T(x,y) \ x) / x). [para(1059(a,1),1604(a,2,2,1))]. 1611 K(R(x,y,z),(R(x,y,z) / ((x \ 1) \ 1)) / R(x,y,z)) = (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)). [para(1147(a,1),1604(a,2,2,1))]. 1612 T(x,x / (x * (y \ x))) = x * K(x,y / x). [para(61(a,1),1609(a,1,2,2,1)),flip(a)]. 1613 T(x,R(y,x,(y * x) \ x)) = x * K(x,(y * x) / x). [para(108(a,2),1612(a,1,2))]. 1614 T(x,R(y,x,(y * x) \ x)) = x * K(x,y). [para(15(a,1),1613(a,2,2,2))]. 1615 T(x,R(y,x,(y * x) \ x)) * (x \ z) = x \ ((x * K(x,y)) * z). [para(1614(a,1),1052(a,1,2,1)),flip(a)]. 1616 x * (((x \ 1) * T((x \ 1) \ 1,y)) / T(x,y)) = K(T(x,y),1 / x). [para(411(a,2),1606(a,1,2,1))]. 1617 x \ ((x * K(x,y)) * z) = (x * K(x,y)) * (x \ z). [para(1614(a,1),1615(a,1,1)),flip(a)]. 1618 (x * K(x,y)) * (x \ 1) = x \ (x * K(x,y)). [para(12(a,1),1617(a,1,2)),flip(a)]. 1619 K(x,y) / (x \ 1) = x * K(x,y). [hyper(72,a,13,a(flip),b,1618,a)]. 1620 R((x * (y * z)) / (x * z),u,w) * (x * z) = x * (R(y,u,w) * z). [para(15(a,1),1593(a,2,2,1,1))]. 1621 x * (y * L(y \ (x \ (z * y)),u,w)) = (x * L(x \ z,u,w)) * y. [hyper(228,a,986,a(flip),b,1594,a(flip)),flip(a)]. 1622 ((x * y) * L((x * y) \ x,z,u)) * y = (x * y) * (y * L(y \ 1,z,u)). [hyper(228,a,844,a(flip),b,1594,a(flip))]. 1623 x * L(x \ (x \ (y * x)),z,u) = T(x * L(x \ y,z,u),x). [hyper(171,a,1594,a(flip),b,986,a(flip)),flip(a)]. 1624 (x * y) * L((x * y) \ y,z,u) = (x * L(x \ 1,z,u)) * y. [para(11(a,1),1594(a,1,2,1,2))]. 1626 (x * L(x \ (x * y),z,u)) * T(y,w) = (x * T(y,w)) * L(y,z,u). [para(1323(a,1),1594(a,1,2,1)),flip(a)]. 1627 T(x * L(x \ y,z,u),x) = x * L(x \ T(y,x),z,u). [para(32(a,2),1623(a,1,2,1,2)),flip(a)]. 1628 x \ T(x * L(x \ y,z,u),x) = L(x \ T(y,x),z,u). [hyper(71,a,1627,a,b,xx)]. 1629 L(x \ T(x * y,x),z,u) = x \ T(x * L(y,z,u),x). [para(13(a,1),1628(a,1,2,1,2,1)),flip(a)]. 1631 x \ T(x * L(y / x,z,u),x) = L(T(y,x) / x,z,u). [para(1291(a,1),1629(a,1,1)),flip(a)]. 1632 L(T(x * y,x) / x,z,u) = T(x * L(y,z,u),x) / x. [hyper(228,a,1295,a(flip),b,1631,a(flip))]. 1633 x * (y * L(y \ (x \ y),z,u)) = (x * L(x \ 1,z,u)) * y. [hyper(228,a,986,a(flip),b,1624,a(flip)),flip(a)]. 1634 T(x,x * L(x \ 1,y,z)) = x. [hyper(171,a,844,a(flip),b,1624,a(flip))]. 1635 T(x * L(x \ 1,T(x,y),y),y) = T(x,y) * ((x * y) \ y). [hyper(171,a,1624,a(flip),b,453,a(flip))]. 1637 T(x,x * ((y * x) \ y)) = x. [para(161(a,1),1634(a,1,2,2))]. 1638 T(x \ y,(x \ y) * (y \ x)) = x \ y. [para(351(a,1),1634(a,1,2,2))]. 1639 T(1 / x,L(x,y,z) / x) = 1 / x. [para(1573(a,1),1634(a,1,2))]. 1640 T(x,x * ((x \ y) / y)) = x. [para(330(a,1),1637(a,1,2,2))]. 1641 T(T(x,y),T(x,y) * ((T(x,y) / x) \ (1 / x))) = T(x,y). [para(957(a,1),1637(a,1,2,2,1))]. 1642 T(x,x * (y / (x * y))) = x. [para(13(a,1),1640(a,1,2,2,1))]. 1643 T(x * (y / (x * y)),x) = x * (y / (x * y)). [hyper(35,a,1642,a)]. 1644 T((x * (1 / y)) / x,L(y,z,u) / y) = (x * (1 / y)) / x. [para(1639(a,1),417(a,1,1,2)),flip(a)]. 1645 T(x \ (x / y),(x \ (x / y)) * y) = x \ (x / y). [para(64(a,1),1638(a,1,2,2))]. 1646 L(x \ y,y \ x,x \ y) * (y \ x) = (y \ x) * (x \ y). [para(1638(a,1),678(a,1,2)),flip(a)]. 1647 T(x,y / (x * y)) * R(x \ 1,x,y) = x * (y / (x * y)). [hyper(228,a,1590,a,b,1643,a(flip)),flip(a)]. 1648 T((x \ (x / y)) * y,x \ (x / y)) = (x \ (x / y)) * y. [hyper(35,a,1645,a)]. 1649 T(T(x,y) * ((T(x,y) / x) \ (1 / x)),T(x,y)) = T(x,y) * ((T(x,y) / x) \ (1 / x)). [hyper(35,a,1641,a)]. 1650 L(x \ y,y \ x,x \ y) = L(1 / (y \ x),y \ x,y). [hyper(18,a,783,a,b,1646,a)]. 1651 (x / y) * L((x / y) \ 1,z,u) = (x * L(x \ y,z,u)) / y. [hyper(72,a,1576,a(flip),b,1633,a(flip)),flip(a)]. 1652 x * ((x * y) * L((x * y) \ y,z,u)) = (x * L(x \ 1,z,u)) * (x * y). [para(13(a,1),1633(a,1,2,2,1,2))]. 1653 (((x * y) * z) * L(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * L((((x * y) * z) / (y * z)) \ 1,u,w). [para(30(a,2),1651(a,1,1)),flip(a)]. 1654 (x * L(x \ (y / z),u,w)) * z = x * (z * L(z \ (x \ y),u,w)). [hyper(228,a,986,a(flip),b,1595,a)]. 1656 x * (y * R(y \ (x \ (z * y)),u,w)) = (x * R(x \ z,u,w)) * y. [hyper(228,a,984,a(flip),b,1596,a(flip)),flip(a)]. 1657 (x \ (y * x)) * R((x \ (y * x)) \ x,z,u) = T(y * R(y \ x,z,u),x). [hyper(171,a,1596,a(flip),b,1242,a),flip(a)]. 1658 x * R(x \ (x \ (y * x)),z,u) = T(x * R(x \ y,z,u),x). [hyper(171,a,1596,a(flip),b,984,a(flip)),flip(a)]. 1659 (x \ (y * z)) * R((x \ (y * z)) \ z,u,w) = x \ ((y * R(y \ x,u,w)) * z). [hyper(71,a,1596,a(flip),b,1242,a),flip(a)]. 1660 (x * R(x \ (x * y),z,u)) * y = (x * y) * R(y,z,u). [para(13(a,1),1596(a,1,2,1)),flip(a)]. 1663 (x * R(y,z,u)) * y = (x * y) * R(y,z,u). [para(13(a,1),1660(a,1,1,2,1))]. 1664 ((x / R(y,z,u)) * y) * R(y,z,u) = x * y. [hyper(300,a,1663,a),flip(a)]. 1665 (x * R(y,z,u)) \ ((x * y) * R(y,z,u)) = y. [hyper(77,a,1663,a)]. 1666 (1 / x) * R(x,y,z) = R(x,y,z) / x. [hyper(72,a,62,a(flip),b,1663,a),flip(a)]. 1667 R(1 / (1 / x),y,z) * (1 / x) = R(x,y,z) / x. [hyper(850,a,1666,a)]. 1668 R(x,y,z) \ (R(x,y,z) / x) = T(1 / x,R(x,y,z)). [hyper(171,a,1666,a,b,14,a),flip(a)]. 1669 R(x,y,z) / x != R(x,y,z) * u | T(1 / x,R(x,y,z)) = u. [para(1666(a,1),172(a,2)),flip(a)]. 1670 L(R(x,y,z) \ u,R(x,y,z),1 / x) = (R(x,y,z) / x) \ ((1 / x) * u). [para(1666(a,1),102(a,2,1))]. 1671 (x * y) / R(y,z,u) != w | (x / R(y,z,u)) * y = w. [para(1664(a,1),295(a,1,1)),flip(b)]. 1672 R(T(x,y * R(x,z,u)),y,R(x,z,u)) = T(x,y). [para(1665(a,1),1038(a,1,1)),flip(a)]. 1673 R(x,y,R(x,z,u)) * (y * R(x,z,u)) = (y * R(x,z,u)) * T(x,y). [para(1672(a,1),184(a,1,2)),flip(a)]. 1674 (x * R(y,z,u)) * T(y,x) = (y * x) * R(y,z,u). [para(1672(a,1),594(a,1,2))]. 1675 (1 / x) * R((1 / x) \ 1,y,z) = R(x,y,z) / x. [hyper(804,a,1667,a)]. 1676 R(x,y,z) / T(x,x \ 1) = (x \ 1) * R(x,y,z). [hyper(72,a,54,a(flip),b,1674,a)]. 1678 (x * y) * R(x,y,T(x,y)) = T(x * y,x) * T(x,y). [para(1109(a,1),1674(a,1,1)),flip(a)]. 1679 R(1 / (1 / x),y,z) \ 1 = (R(x,y,z) / x) \ (1 / x). [para(1675(a,1),1144(a,1,1)),flip(a)]. 1680 R(x,y,z) / ((x \ 1) \ 1) = (x \ 1) * R(x,y,z). [hyper(655,a,1676,a)]. 1681 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(1668(a,1),669(a,1,1,2))]. 1682 T(x * R(x \ y,z,u),x) = x * R(x \ T(y,x),z,u). [para(32(a,2),1658(a,1,2,1,2)),flip(a)]. 1683 T(x * R(x \ y,z,u),x) / x = R(T(y,x) / x,z,u). [hyper(72,a,1682,a,b,598,a)]. 1684 x \ T(x * R(x \ y,z,u),x) = R(x \ T(y,x),z,u). [hyper(71,a,1682,a,b,xx)]. 1685 R(T(x * y,x) / x,z,u) = T(x * R(y,z,u),x) / x. [para(13(a,1),1683(a,1,1,1,2,1)),flip(a)]. 1688 (x * ((y * (x \ 1)) / y)) * x = x * (x * ((y * (x \ 1)) / y)). [hyper(228,a,1032,a(flip),b,1597,a(flip))]. 1690 (1 / x) * ((1 / x) * ((y * ((1 / x) \ 1)) / y)) = (((y * x) / y) / x) * (1 / x). [para(1442(a,1),1688(a,1,1)),flip(a)]. 1691 R(T(x,y),z,u) * (x * w) = x * (R(T(x,y),z,u) * w). [para(1056(a,1),1620(a,1,1,1))]. 1692 R(T(x,y),z,u) * (x \ 1) = x \ R(T(x,y),z,u). [hyper(373,a,1691,a),flip(a)]. 1693 R(T(x,y),z,u) \ (x * w) = x * (R(T(x,y),z,u) \ w). [hyper(71,a,86,a(flip),b,1691,a)]. 1694 (x * T(y,z)) * L(y,u,w) = (x * L(y,u,w)) * T(y,z). [para(13(a,1),1626(a,1,1,2,1)),flip(a)]. 1695 (x * L(y,z,u)) * T(y,x) = (y * x) * L(y,z,u). [para(113(a,1),1694(a,1,1)),flip(a)]. 1696 (x / y) * L((x / y) \ (z / y),u,w) = (x * L(x \ z,u,w)) / y. [hyper(72,a,1576,a(flip),b,1654,a),flip(a)]. 1697 R(x,y,z) * (z * R(z \ (y * z),u,w)) = (R(x,y,z) * R(R(x,y,z) \ (x * y),u,w)) * z. [para(141(a,1),1656(a,1,2,2,1,2))]. 1698 (x * L(x \ (y * x),z,u)) / y = (x / y) * L(T(y,x),z,u). [para(1338(a,2),1696(a,1,2,1)),flip(a)]. 1699 (x / y) * L(T(y,x),z,u) = (L(y,z,u) * x) / y. [para(586(a,1),1698(a,1,1)),flip(a)]. 1700 (L(x,y,z) * (u * x)) / x = u * L(T(x,u * x),y,z). [para(15(a,1),1699(a,1,1)),flip(a)]. 1701 T(x * L(T(y,x * y),z,u),y) = y \ (L(y,z,u) * (x * y)). [para(1700(a,1),115(a,1,1))]. 1702 T(x * L(T(y,x * y),z,u),y) = L(y,z,u) * T(x,y). [hyper(228,a,1372,a(flip),b,1701,a)]. 1703 a(x,y,z) = L(L(z,y,x) \ z,L(z,y,x),x * y). [hyper(228,a,24,a,b,469,a),flip(a)]. 1704 ((x * (y * (z \ 1))) / x) / (z \ 1) = z * ((x * (z \ y)) / x). [para(833(a,1),910(a,1,1))]. 1705 (x \ 1) * ((y * ((x \ 1) \ K(x \ 1,x))) / y) = ((y * x) / y) / ((x \ 1) \ 1). [para(1202(a,1),1704(a,1,1,1,2)),flip(a)]. 1706 T(T(R(x,y,y \ 1),x * y) / (y \ 1),R(x,y,y \ 1)) = x * y. [para(194(a,1),1107(a,1,2))]. 1707 T(T(x,x * y) * y,R(x,y,y \ 1)) = x * y. [para(521(a,1),1706(a,1,1))]. 1708 T(T(T(x,x * y) * y,z),R(x,y,y \ 1)) = T(x * y,z). [para(1707(a,1),38(a,1,1)),flip(a)]. 1709 T(x * y,R(x,y,y \ 1)) = T(x * y,T(x,y)). [para(915(a,1),1708(a,1,1))]. 1710 T((x / y) * y,T(x / y,y)) = T(x,R(x / y,y,y \ 1)). [para(16(a,1),1709(a,1,1)),flip(a)]. 1711 T((x / y) * y,T(x / y,y)) = T(x,x * (y \ 1)). [para(495(a,1),1710(a,2,2))]. 1712 T(x,T(x / y,y)) = T(x,x * (y \ 1)). [para(16(a,1),1711(a,1,1))]. 1713 T(x,x * (y \ 1)) = T(x,y \ x). [para(115(a,1),1712(a,1,2)),flip(a)]. 1714 T(x,(1 / y) \ x) = T(x,x * y). [para(64(a,1),1713(a,1,2,2)),flip(a)]. 1715 L(R(x,y,z),x \ 1,x) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). [para(190(a,1),1316(a,1,1))]. 1716 (T(x,y) * ((T(x,y) \ x) / x)) * x = T(x,(1 * x) / (x * T(x,y))). [para(500(a,1),1568(a,2,2))]. 1717 (T(x,y) * ((T(x,y) \ x) / x)) * x = T(x,x / (x * T(x,y))). [para(11(a,1),1716(a,2,2,1))]. 1718 (x \ y) \ K(T(x / y,T(y,x)),T(y,x)) = T((x \ y) \ 1,T(y,x)). [para(1337(a,1),1095(a,1,2,1))]. 1719 (x \ y) * T((x \ y) \ 1,T(y,x)) = K(T(x / y,T(y,x)),T(y,x)). [para(1718(a,1),14(a,1,2))]. 1720 K(T(x / y,T(y,x)),T(y,x)) = x \ (y * T(y \ x,T(y,x))). [hyper(228,a,1379,a(flip),b,1719,a(flip))]. 1721 T(L(1 / x,R(x,y,z),1 / x),x) = (x \ R(x,y,z)) / R(x,y,z). [para(1463(a,1),1152(a,1,1))]. 1722 L(x \ 1,R(x,y,z),1 / x) = (x \ R(x,y,z)) / R(x,y,z). [hyper(228,a,186,a(flip),b,1721,a(flip)),flip(a)]. 1723 ((x * ((y \ x) \ z)) / z) * (y \ z) = y \ (x * ((y \ x) \ z)). [para(14(a,1),1237(a,1,2,1)),flip(a)]. 1725 x * ((x * y) * ((z * ((x * y) \ y)) / z)) = (x * ((z * (x \ 1)) / z)) * (x * y). [hyper(228,a,1597,a(flip),b,1248,a(flip))]. 1726 T(x,y) * T(T(x,y) \ y,z) = T(x * T(x \ y,z),y). [hyper(171,a,1416,a(flip),b,1256,a(flip)),flip(a)]. 1727 x * (T(y,x) * T(T(y,x) \ y,z)) = (y * x) * T(K(x,y),z). [para(26(a,2),1256(a,1,2,1)),flip(a)]. 1728 x * L(y,T(y,x) \ y,T(y,x)) = (y * x) * T(K(x,y),y). [para(1078(a,1),1727(a,1,2))]. 1729 (x \ 1) * (K(x,x \ 1) * ((x \ 1) \ y)) = K(x,x \ 1) * y. [para(813(a,1),1307(a,2,1))]. 1730 (x \ 1) \ (K(x,x \ 1) * y) = K(x,x \ 1) * ((x \ 1) \ y). [hyper(77,a,1729,a)]. 1731 K(((x \ y) * (y \ x)) \ (x \ y),(x \ y) * (y \ x)) = y \ (x * (x \ y)). [para(1638(a,1),1387(a,2,2,2))]. 1732 K(x \ (x / ((y \ x) / T(x,y))),x) = x / T(x,y). [para(14(a,1),1476(a,2,1))]. 1733 (x \ T(x * (y / z),z)) * z = (x \ 1) * ((z \ ((x \ 1) \ y)) * z). [para(113(a,1),1485(a,1,2)),flip(a)]. 1734 T((x \ (x * (y / x))) * x,x) = (x \ 1) * ((x \ ((x \ 1) \ y)) * x). [hyper(1290,a,1733,a)]. 1735 T(x,y) = (y \ 1) * ((y \ ((y \ 1) \ x)) * y). [para(65(a,1),1734(a,1,1))]. 1736 (x \ 1) * ((x \ y) * x) = T((x \ 1) * y,x). [para(13(a,1),1735(a,2,2,1,2)),flip(a)]. 1737 T((x \ 1) * (x * y),x) = (x \ 1) * (y * x). [para(13(a,1),1736(a,1,2,1)),flip(a)]. 1738 T((x \ 1) * ((y \ x) * y),x) = (x \ 1) * (K(y \ x,y) * x). [para(94(a,1),1736(a,1,2,1)),flip(a)]. 1739 ((x \ 1) * y) \ T((x \ 1) * y,x) = L(K(x \ y,x),y,x \ 1). [para(1736(a,1),424(a,1,2))]. 1740 ((x \ 1) * (x * y)) * x = x * ((x \ 1) * (y * x)). [para(1737(a,1),113(a,1,2)),flip(a)]. 1741 ((x \ 1) * (x * y)) * x = L(y * x,x \ 1,x). [hyper(228,a,190,a(flip),b,1740,a)]. 1742 x \ (y * ((z * (y \ (x * u))) / z)) = (x \ y) * ((z * ((x \ y) \ u)) / z). [hyper(77,a,1499,a)]. 1743 x * ((x \ y) * ((z * ((x \ y) \ 1)) / z)) = y * ((z * (y \ x)) / z). [para(12(a,1),1499(a,2,2,1,2,2))]. 1744 (x \ y) * ((z * ((x \ y) \ 1)) / z) = x \ (y * ((z * (y \ x)) / z)). [hyper(77,a,1743,a),flip(a)]. 1745 x * K(y,(y / (x \ z)) / y) = z * ((y * (z \ x)) / y). [para(1602(a,2),1743(a,1,2))]. 1746 (x * y) * ((z * ((x * y) \ y)) / z) = y * K(z,(z / T(x,y)) / z). [para(32(a,2),1745(a,1,2,2,1,2)),flip(a)]. 1747 T(x * ((y * (x \ 1)) / y),z) = K(y,(y / T(x,z)) / y). [hyper(171,a,1597,a(flip),b,1746,a(flip))]. 1748 T(x,y) * ((z * (T(x,y) \ 1)) / z) = T(x * ((z * (x \ 1)) / z),y). [hyper(228,a,1602,a(flip),b,1747,a),flip(a)]. 1749 K(x,(x / T(y \ x,z)) / x) = T(K(x,y / x),z). [para(1605(a,1),1747(a,1,1)),flip(a)]. 1750 T(K(x,y / x),K(y / x,z)) = K(x,(x / (y \ x)) / x). [para(1271(a,1),1749(a,1,2,1,2)),flip(a)]. 1751 T(K(x,y / x),K(y / x,z)) = K(x,y / x). [para(61(a,1),1750(a,2,2,1))]. 1752 T(K(x,y),K((y * x) / x,z)) = K(x,(y * x) / x). [para(15(a,1),1751(a,1,1,2))]. 1753 T(K(x,y),K(y,z)) = K(x,(y * x) / x). [para(15(a,1),1752(a,1,2,1))]. 1754 T(K(x,y),K(y,z)) = K(x,y). [para(15(a,1),1753(a,2,2))]. 1755 K(K(x,y),K(y,z)) = 1. [hyper(36,a,1754,a)]. 1756 T(K(x,y),K(z,x)) = K(x,y). [hyper(35,a,1754,a)]. 1757 K(x,y) * K(z,x) = K(z,x) * K(x,y). [para(1754(a,1),113(a,1,2))]. 1759 K(x,y) * K(z,x) != u | K(z,x) * K(x,y) = u. [para(1754(a,1),219(a,1,2))]. 1760 T(K(x,y),z) * K(y,u) = K(y,u) * T(K(x,y),z). [para(1754(a,1),182(a,1,2,1)),flip(a)]. 1761 L(K(x,y),z,u) * K(y,w) = K(y,w) * L(K(x,y),z,u). [para(1754(a,1),183(a,1,2,1)),flip(a)]. 1762 R(K(x,y),z,u) * K(y,w) = K(y,w) * R(K(x,y),z,u). [para(1754(a,1),184(a,1,2,1)),flip(a)]. 1764 K(x,y) * K(y,z) != u | K(y,z) * K(x,y) = u. [para(1756(a,1),219(a,1,2))]. 1765 L(K(x,y),z,u) * K(w,x) = K(w,x) * L(K(x,y),z,u). [para(1756(a,1),183(a,1,2,1)),flip(a)]. 1766 R(K(x,y),z,u) * K(w,x) = K(w,x) * R(K(x,y),z,u). [para(1756(a,1),184(a,1,2,1)),flip(a)]. 1767 K(x,y) * L(K(y,z),u,w) != v5 | L(K(y,z),u,w) * K(x,y) = v5. [para(1756(a,1),378(a,1,2,1))]. 1768 K(x,y) * R(K(y,z),u,w) != v5 | R(K(y,z),u,w) * K(x,y) = v5. [para(1756(a,1),379(a,1,2,1))]. 1769 T(x,y) * ((x * (T(x,y) \ 1)) / x) = T(x * (1 / x),y). [para(14(a,1),1748(a,2,1,2,1))]. 1770 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(411(a,2),1748(a,2,1,2,1)),flip(a)]. 1771 T(x,y) * ((T(x,y) \ x) / x) = T(x * (1 / x),y). [para(1059(a,1),1769(a,1,2,1))]. 1772 R(x,y,z) * (T(x,u) \ 1) = T(x,u) \ R(x,y,z). [para(14(a,1),1571(a,1,2,1)),flip(a)]. 1773 T(x,y) * ((T(x,y) \ T(x,z)) / T(x,z)) = K(T(x,z),1 / T(x,y)). [para(1080(a,1),1608(a,1,2,1))]. 1774 (x * (y * L(y \ 1,z,u))) * y = (x * y) * (y * L(y \ 1,z,u)). [para(844(a,1),1622(a,1,1))]. 1775 (x * y) * (y * L(y \ 1,y,1 / y)) = (x * (y * (1 / y))) * y. [para(352(a,1),1774(a,1,1,2,2)),flip(a)]. 1776 (x * (y * (1 / y))) * y = (x * y) * (y * (1 / y)). [para(352(a,1),1775(a,1,2,2)),flip(a)]. 1777 (x * L(x \ 1,y,z)) * (x * u) = x * ((x * L(x \ 1,y,z)) * u). [para(1624(a,1),1652(a,1,2)),flip(a)]. 1778 (x \ 1) * (((x \ 1) * L((x \ 1) \ 1,y,z)) * u) = (x \ L(x,y,z)) * ((x \ 1) * u). [para(1127(a,1),1777(a,1,1)),flip(a)]. 1779 T(x,y) * R((y \ (x * y)) \ y,z,u) = T(x * R(x \ y,z,u),y). [para(32(a,2),1657(a,1,1))]. 1780 T(x,y) * R(T(x,y) \ y,z,u) = T(x * R(x \ y,z,u),y). [para(32(a,2),1779(a,1,2,1,1))]. 1781 T(x,x * y) * R(T(x,x * y) \ (x * y),z,u) = T(x * R(y,z,u),x * y). [para(13(a,1),1780(a,2,1,2,1))]. 1782 K(((x \ y) * (y \ x)) \ (x \ y),(x \ y) * (y \ x)) = 1. [hyper(228,a,207,a(flip),b,1731,a)]. 1784 T(1 / (x \ y),(y \ x) * (x \ y)) = 1 / (x \ y). [para(1782(a,1),945(a,1,1)),flip(a)]. 1785 ((x \ y) * (y \ x)) \ (x \ y) = 1 / (y \ x). [hyper(228,a,1506,a(flip),b,1784,a(flip)),flip(a)]. 1786 L((x \ y) \ 1,x \ y,y \ x) = 1 / (x \ y). [hyper(387,a,1785,a)]. 1787 (((x * y) \ x) * y) \ ((x * y) \ x) = 1 / (x \ (x * y)). [para(13(a,1),1785(a,1,1,2))]. 1788 L(((x * y) \ x) \ 1,(x * y) \ x,y) = 1 / ((x * y) \ x). [para(13(a,1),1786(a,1,3))]. 1789 x \ (y * L(y \ x,x \ y,y \ x)) = (x \ y) * (1 / (x \ y)). [para(1786(a,1),1598(a,1,2)),flip(a)]. 1790 (((x * y) \ x) * y) \ ((x * y) \ x) = 1 / y. [para(13(a,1),1787(a,2,2))]. 1791 L(x \ 1,x,(y * x) \ y) = 1 / x. [hyper(387,a,1790,a)]. 1792 (((x * y) \ x) * y) * (1 / y) = (x * y) \ x. [para(1790(a,1),14(a,1,2))]. 1793 ((x * y) \ x) / (1 / y) = ((x * y) \ x) * y. [para(1790(a,1),61(a,1,2))]. 1794 L(x \ 1,x,x \ 1) = 1 / x. [para(11(a,1),1791(a,1,3,1))]. 1795 L(x \ 1,x,(x \ y) / y) = 1 / x. [para(330(a,1),1791(a,1,3))]. 1796 (x \ 1) / (1 / x) = (x \ 1) * x. [para(1794(a,1),359(a,1,2))]. 1797 x * L(x \ (y \ x),y,y \ 1) = (y * (1 / y)) * (y \ x). [para(1794(a,1),1441(a,1,1,2)),flip(a)]. 1798 x * (y * L(y \ (x \ y),x,x \ 1)) = (x * (1 / x)) * y. [para(1794(a,1),1633(a,2,1,2))]. 1799 K(x \ 1,x) * L(1 / x,y,z) = (x \ 1) * (x * L(x \ 1,y,z)). [para(1794(a,1),985(a,1,2,1))]. 1800 T(1 / (1 / x),x \ 1) = x. [hyper(980,a,1796,a)]. 1801 (x \ 1) / (1 / x) = K(x \ 1,x). [hyper(228,a,189,a,b,1796,a)]. 1803 T(T(1 / (1 / x),y),x \ 1) = T(x,y). [para(1800(a,1),38(a,1,1)),flip(a)]. 1804 T(x,x \ 1) / x = K(x,x \ 1). [para(1800(a,1),1126(a,1,1)),flip(a)]. 1805 x \ (1 / (1 / x)) = K(x \ 1,x). [hyper(307,a,1801,a)]. 1806 K(x \ 1,x) * (1 / x) = x \ 1. [para(1801(a,1),16(a,1,1))]. 1807 K(x,x \ 1) * x = T(x,x \ 1). [para(1804(a,1),16(a,1,1))]. 1808 ((x \ 1) \ 1) / x = K(x,x \ 1). [para(114(a,1),1804(a,1,1))]. 1809 x * K(x \ 1,x) = 1 / (1 / x). [para(1805(a,1),14(a,1,2))]. 1810 (x \ 1) * L(y,1 / x,K(x \ 1,x)) = K(x \ 1,x) * ((1 / x) * y). [para(1806(a,1),100(a,1,1))]. 1811 L((1 / x) \ y,1 / x,K(x \ 1,x)) = (x \ 1) \ (K(x \ 1,x) * y). [para(1806(a,1),102(a,2,1))]. 1813 K(x,x \ 1) * x = (x \ 1) \ 1. [hyper(228,a,114,a(flip),b,1807,a)]. 1815 T(x,x \ 1) * L(y,x,K(x,x \ 1)) = K(x,x \ 1) * (x * y). [para(1807(a,1),100(a,1,1))]. 1816 T(x,x \ 1) \ (K(x,x \ 1) * y) = L(x \ y,x,K(x,x \ 1)). [para(1807(a,1),102(a,2,1)),flip(a)]. 1817 T(x,x \ 1) * y != K(x,x \ 1) * (x * z) | L(z,x,K(x,x \ 1)) = y. [para(1807(a,1),445(a,1,1))]. 1819 K(x \ 1,x) * x = 1 / (1 / x). [hyper(1209,a,1809,a)]. 1820 L(x,x \ 1,x) = 1 / (1 / x). [hyper(781,a,1809,a)]. 1822 L(T(x,y),x \ 1,x) = T(1 / (1 / x),y). [para(1820(a,1),40(a,2,1))]. 1823 L(R(x,y,z),x \ 1,x) = R(1 / (1 / x),y,z). [para(1820(a,1),44(a,1,1)),flip(a)]. 1825 ((x \ 1) \ 1) / L(y \ x,y,K(x,x \ 1)) = K(x,x \ 1) * y. [para(1813(a,1),439(a,1,1))]. 1826 (1 / (1 / x)) / (x * x) = R(x \ 1,x,x). [para(1819(a,1),272(a,1,1))]. 1827 L(x \ 1,x,y / (x * y)) = 1 / x. [para(13(a,1),1795(a,1,3,1))]. 1828 (((x \ y) / y) * x) * (1 / x) = (x \ y) / y. [para(1795(a,1),354(a,1,2))]. 1829 T(1 / x,(y / (x * y)) * x) = 1 / x. [hyper(228,a,1142,a,b,1827,a(flip)),flip(a)]. 1830 L(x \ 1,x,R(1 / x,x,y)) = 1 / x. [para(162(a,2),1827(a,1,3))]. 1831 ((x / (y * x)) * y) * (1 / y) = x / (y * x). [para(1827(a,1),354(a,1,2))]. 1832 T(x,1 / x) = T(x,x \ 1). [para(188(a,1),1803(a,1,1)),flip(a)]. 1833 T(x,1 / x) = (x \ 1) \ 1. [hyper(228,a,114,a(flip),b,1832,a)]. 1834 (x * T(y,y \ 1)) / x = T((x * y) / x,1 / y). [para(1832(a,1),417(a,1,1,2))]. 1835 T(x,x \ 1) / x = K(x,1 / x). [para(1832(a,1),747(a,1,1))]. 1836 R(R(x,y,z),1 / x,x) = R(T(x,x \ 1),y,z). [para(1832(a,1),746(a,2,1))]. 1837 ((x \ 1) \ 1) / x = K(x,1 / x). [para(1833(a,1),747(a,1,1))]. 1838 L((x \ 1) \ 1,y,z) / x = L(x,y,z) * (1 / x). [para(1833(a,1),1010(a,1,1,1))]. 1839 K(x,1 / x) = K(x,x \ 1). [hyper(228,a,1804,a(flip),b,1835,a(flip))]. 1840 K(1 / x,1 / (1 / x)) = (x \ 1) / (1 / x). [para(583(a,1),1835(a,1,1)),flip(a)]. 1841 K(x,x \ 1) = x * (1 / x). [hyper(349,a,1839,a),flip(a)]. 1842 K((x \ 1) \ 1,x \ 1) = K(x,1 / x). [hyper(228,a,813,a,b,1839,a),flip(a)]. 1843 K((x / y) \ x,1 / y) = K(y,y \ 1). [hyper(228,a,645,a,b,1839,a(flip)),flip(a)]. 1844 x \ K(x,x \ 1) = 1 / x. [hyper(71,a,1839,a(flip),b,192,a(flip))]. 1845 K(x \ 1,(x \ 1) \ 1) = K(x \ 1,x). [para(61(a,1),1839(a,1,2)),flip(a)]. 1846 K(x,x \ 1) != y | x * (1 / x) = y. [para(1839(a,1),349(a,1))]. 1847 (1 / (1 / x)) * K(x,x \ 1) = x. [para(1839(a,1),812(a,1,2))]. 1848 R(x,y,1 / y) * K(y,y \ 1) = (x * y) * (1 / y). [para(1839(a,1),488(a,1,2))]. 1849 T(x,y) \ K(x,x \ 1) = x * (T(x,y) \ (1 / x)). [hyper(71,a,1841,a,b,1054,a)]. 1850 (x * (y * (1 / (x * y)))) \ K(x * y,(x * y) \ 1) = a(x,y,1 / (x * y)). [hyper(71,a,1841,a,b,89,a)]. 1852 K(x * (y \ 1),(x * (y \ 1)) \ 1) = (x * (y \ 1)) * (y / x). [para(259(a,1),1841(a,2,2))]. 1853 K(x,x \ 1) \ 1 = K(1 / x,x). [para(1841(a,2),97(a,1,1))]. 1855 K(x,x \ 1) * T((x * (1 / x)) \ y,z) = x * ((1 / x) * T((1 / x) \ (x \ y),z)). [para(1841(a,2),852(a,1,1))]. 1856 L(x,y,z) * K(x,x \ 1) = x * (L(x,y,z) * (1 / x)). [para(1841(a,2),1358(a,1,2))]. 1857 L(x,y,z) \ K(x,x \ 1) = x * (L(x,y,z) \ (1 / x)). [para(1841(a,2),1363(a,1,2))]. 1858 T(x,y) * ((T(x,y) \ x) / x) = T(K(x,x \ 1),y). [para(1841(a,2),1771(a,2,1))]. 1859 (x * K(y,y \ 1)) * y = (x * y) * (y * (1 / y)). [para(1841(a,2),1776(a,1,1,2))]. 1860 x * (1 / x) != y | K(x,x \ 1) = y. [para(1844(a,1),213(a,1,2)),flip(b)]. 1862 (x \ 1) \ (1 / x) = K(x,1 / x). [hyper(307,a,1837,a)]. 1863 x * L(y,K(x,x \ 1),1 / (1 / x)) = (1 / (1 / x)) * (K(x,x \ 1) * y). [para(1847(a,1),100(a,1,1))]. 1864 R(x,1 / (1 / y),K(y,y \ 1)) * y = (x * (1 / (1 / y))) * K(y,y \ 1). [para(1847(a,1),109(a,1,2))]. 1865 R(x / (1 / (1 / y)),1 / (1 / y),K(y,y \ 1)) = (x * K(y,y \ 1)) / y. [para(1847(a,1),110(a,2,2))]. 1866 (x \ 1) * K(x,1 / x) = 1 / x. [para(1862(a,1),14(a,1,2))]. 1867 (1 / x) / K(x,1 / x) = x \ 1. [para(1862(a,1),61(a,1,2))]. 1868 K(x,1 / x) * (x \ 1) = 1 / x. [hyper(1200,a,1866,a)]. 1869 (x \ 1) * K(x,x \ 1) = 1 / x. [para(1839(a,1),1866(a,1,2))]. 1870 R(1 / x,x,1 / x) = x \ 1. [hyper(641,a,1867,a)]. 1871 R(x / (y * x),y,1 / y) = R(y \ 1,y,x). [para(1870(a,1),364(a,1,1)),flip(a)]. 1872 K(x,x \ 1) * (x \ 1) = 1 / x. [para(1839(a,1),1868(a,1,1))]. 1873 (1 / x) / L(y,(x \ 1) / y,K(x,x \ 1)) = K(x,x \ 1) * ((x \ 1) / y). [para(1872(a,1),506(a,1,1))]. 1874 K(x,1 / x) != y | K(x,x \ 1) = y. [para(192(a,2),1860(a,1))]. 1876 T(1 / (x / y),(y / x) * (x / y)) = 1 / (x / y). [para(16(a,1),1829(a,1,2,1,2))]. 1877 R(1 / x,x,y) / (1 / x) = R(1 / x,x,y) * x. [para(1830(a,1),359(a,1,2))]. 1878 K(T(x \ 1,x),(x \ 1) \ 1) = K(x \ 1,1 / (x \ 1)). [para(1188(a,2),1842(a,1,1))]. 1879 T(1 / (1 / x),y) / ((x \ 1) * T(x,y)) = x. [hyper(72,a,1822,a(flip),b,190,a)]. 1880 (x * x) * L((x * x) \ (1 / (1 / x)),y,z) = L(R(x \ 1,x,x),y,z) * (x * x). [para(1826(a,1),588(a,1,1,1)),flip(a)]. 1881 (x * y) \ x = (L(y \ 1,y,x) * y) * (1 / y). [para(161(a,2),1792(a,1,1,1)),flip(a)]. 1882 K(((x * y) \ x) \ (((x * y) \ x) * y),(x * y) \ x) * y = T(y,(x * y) \ x). [para(1793(a,1),966(a,2,1,1,2)),flip(a)]. 1883 K(1 / x,1 / (1 / x)) = K(x \ 1,x). [hyper(228,a,1801,a(flip),b,1840,a)]. 1884 K(1 / x,(1 / x) \ 1) = K(x \ 1,x). [hyper(1874,a,1883,a)]. 1885 K(1 / x,x) = K(x \ 1,x). [para(64(a,1),1884(a,1,2))]. 1886 K(x,x \ 1) \ 1 = K(x \ 1,x). [hyper(228,a,1853,a,b,1885,a(flip)),flip(a)]. 1887 K(T(x \ 1,x) \ 1,T(x \ 1,x)) = K(T(x,x \ 1),T(x \ 1,x)). [para(1187(a,1),1885(a,1,1)),flip(a)]. 1888 x * K(1 / x,x) = 1 / (1 / x). [para(1885(a,2),1809(a,1,2))]. 1889 (K(x,x \ 1) * y) \ 1 = y \ K(x \ 1,x). [hyper(71,a,1886,a(flip),b,47,a),flip(a)]. 1890 1 / (x * K(y \ 1,y)) = K(y,y \ 1) / x. [para(1886(a,1),259(a,1,2,2))]. 1892 R(x \ 1,x,y) \ (((y / (x * y)) * x) * (1 / x)) = x * (1 / x). [para(1871(a,1),141(a,1,1))]. 1893 R(1 / (1 / x),y,z) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). [para(1823(a,1),1715(a,1,1))]. 1894 R(x,y,z) \ R(T(x,x \ 1),y,z) = a(R(x,y,z),1 / x,x). [para(1836(a,1),672(a,1,2))]. 1896 L(x \ 1,x,y) / (1 / x) = L(x \ 1,x,y) * x. [hyper(566,a,1881,a)]. 1897 T((x * y) / x,1 / y) = T((x * y) / x,y \ 1). [hyper(420,a,1834,a),flip(a)]. 1898 L(1 / x,y,z) * (1 / (1 / x)) = L(x \ 1,y,z) / (1 / x). [para(64(a,1),1838(a,1,1,1,1)),flip(a)]. 1899 T(L(x,y,z) * (1 / x),x) = x \ L((x \ 1) \ 1,y,z). [para(1838(a,1),115(a,1,1))]. 1900 (x * K(y,y \ 1)) * y = (x * y) * K(y,y \ 1). [para(1841(a,2),1859(a,2,2))]. 1901 ((x / y) * (y / x)) \ (x / y) = 1 / (y / x). [hyper(228,a,1516,a(flip),b,1876,a(flip)),flip(a)]. 1902 ((x / y) * (y / x)) * (1 / (y / x)) = x / y. [para(1901(a,1),14(a,1,2))]. 1903 ((x * y) / y) * (y / (x * y)) = x / (1 / (y / (x * y))). [hyper(72,a,15,a(flip),b,1902,a),flip(a)]. 1904 T(1 / (1 / x),R(1 / x,x,y)) = x. [hyper(1669,a,1877,a)]. 1905 T(1 / (1 / x),y / (x * y)) = x. [para(162(a,1),1904(a,1,2))]. 1906 T(x,y / (x * y)) = T(x,x \ 1). [para(1905(a,1),1803(a,1,1)),flip(a)]. 1907 T(x,y / (x * y)) = (x \ 1) \ 1. [hyper(228,a,114,a(flip),b,1906,a)]. 1908 K((x / (y * x)) \ 1,x / (y * x)) * (y * x) = T(y,y \ 1) * x. [para(1906(a,1),1477(a,2,1))]. 1909 T(x / y,y / x) = ((x / y) \ 1) \ 1. [para(16(a,1),1907(a,1,2,2))]. 1910 x \ T(x,y / (x * y)) != z | K(x,x \ 1) = z. [para(1907(a,2),433(a,1,2))]. 1911 ((((x * y) / x) \ 1) \ 1) * x = x * T(y,x / (x * y)). [para(1909(a,1),410(a,1,1))]. 1912 T((x * T(y,x)) / x,T(y,x) \ 1) = T(y,1 / T(y,x)). [para(166(a,1),1897(a,1,1)),flip(a)]. 1913 (x * K(y,y \ 1)) \ ((x * y) * K(y,y \ 1)) = y. [hyper(77,a,1900,a)]. 1914 (x * K(y,y \ 1)) / y = (x / y) * K(y,y \ 1). [hyper(72,a,87,a(flip),b,1900,a)]. 1915 R(T(x,y * K(x,x \ 1)),y,K(x,x \ 1)) = T(x,y). [para(1913(a,1),1038(a,1,1)),flip(a)]. 1916 T((x / y) * K(y,y \ 1),y) != z | y \ (x * K(y,y \ 1)) = z. [para(1914(a,1),647(a,1,1))]. 1917 K(T(x \ 1,x),(x \ 1) \ 1) = K(x \ 1,x). [para(61(a,1),1878(a,2,2))]. 1918 K(T(x \ 1,x),T(x,x \ 1)) = K(x \ 1,x). [para(114(a,2),1917(a,1,2))]. 1919 K(T((x \ 1) \ 1,x \ 1),T(x \ 1,(x \ 1) \ 1)) = K(x,x \ 1). [hyper(228,a,813,a(flip),b,1918,a)]. 1920 x / (1 / (y / (x * y))) = x * (y / (x * y)). [para(15(a,1),1903(a,1,1)),flip(a)]. 1921 K(x \ (x * (y / (x * y))),x) = R(x \ 1,x,y) / (y / (x * y)). [para(1920(a,1),967(a,1,1,2))]. 1922 ((((x * y) / x) \ 1) \ 1) * x != x * z | T(y,x / (x * y)) = z. [para(1911(a,2),19(a,1))]. 1923 T(x,1 / T(x,y)) = T(x,T(x,y) \ 1). [para(166(a,1),1912(a,1,1)),flip(a)]. 1924 T(x,T(x,y) \ 1) / T(x,y) = x * (1 / T(x,y)). [para(1923(a,1),1331(a,1,1))]. 1925 ((x * (1 / T(x,y))) / x) * T(x,y) = T(x,T(x,y) \ 1) / x. [para(1924(a,1),1325(a,1,1,1))]. 1926 (x * ((y * x) \ y)) \ x = 1 / ((y * x) \ y). [hyper(228,a,161,a(flip),b,1788,a(flip)),flip(a)]. 1927 x * L(x \ (y \ x),y,y \ 1) = K(y,y \ 1) * (y \ x). [para(1841(a,2),1797(a,2,1))]. 1928 x * (K(x,x \ 1) * (x \ y)) = (x * (1 / x)) * y. [para(1927(a,1),1798(a,1,2))]. 1929 K(x,x \ 1) * (x \ L(y,1 / x,x)) = (1 / x) * y. [hyper(17,a,100,a(flip),b,1928,a)]. 1930 x * (K(x,x \ 1) * (x \ y)) = K(x,x \ 1) * y. [para(1841(a,2),1928(a,2,1))]. 1931 x \ (K(x,x \ 1) * y) = K(x,x \ 1) * (x \ y). [hyper(77,a,1930,a)]. 1932 K(x,x \ 1) * (x * y) = x * (K(x,x \ 1) * y). [para(13(a,1),1930(a,1,2,2)),flip(a)]. 1933 K(x,x \ 1) * y != x * z | K(x,x \ 1) * (x \ y) = z. [para(1930(a,1),19(a,1))]. 1934 x * (K(x,x \ 1) * T(y,x)) = K(x,x \ 1) * (y * x). [para(32(a,2),1930(a,1,2,2))]. 1935 (x \ 1) * (K(x \ 1,x) * ((x \ 1) \ y)) = K(x \ 1,(x \ 1) \ 1) * y. [para(1845(a,1),1930(a,1,2,1))]. 1936 (1 / x) * (K(x \ 1,x) * ((1 / x) \ y)) = K(1 / x,(1 / x) \ 1) * y. [para(1884(a,1),1930(a,1,2,1))]. 1937 K(x,x \ 1) * y != (1 / x) * z | x \ L(z,1 / x,x) = y. [para(1929(a,1),19(a,1)),flip(a)]. 1938 T(x,y) * ((x * (T(x,y) \ 1)) / x) = T(x,T(x,y) \ 1) / x. [hyper(912,a,1925,a)]. 1939 T(x,y) * ((T(x,y) \ x) / x) = T(x,T(x,y) \ 1) / x. [para(1059(a,1),1938(a,1,2,1))]. 1940 x * (T(x,T(x,y) \ 1) / x) = T(x,x / (x * T(x,y))). [para(1938(a,1),1552(a,1,2))]. 1941 (T(x,T(x,y) \ 1) / x) * x = T(x,x / (x * T(x,y))). [para(1939(a,1),1717(a,1,1))]. 1942 T(x,x / (x * T(x,y))) = T(x,T(x,y) \ 1). [hyper(215,a,1941,a)]. 1944 x * (T(x,T(x,y) \ 1) / x) = T(x,T(x,y) \ 1). [hyper(228,a,1940,a,b,1942,a(flip)),flip(a)]. 1945 x * (T(x,y) * ((T(x,y) \ x) / x)) = T(x,T(x,y) \ 1). [para(1939(a,2),1944(a,1,2))]. 1946 x * T(K(x,x \ 1),y) = T(x,T(x,y) \ 1). [para(1858(a,1),1945(a,1,2))]. 1947 T(x,T(x,y) \ 1) != x * z | T(K(x,x \ 1),y) = z. [para(1946(a,1),19(a,1))]. 1948 x \ (y * L(y \ x,x \ y,y \ x)) = K(x \ y,(x \ y) \ 1). [hyper(228,a,1841,a,b,1789,a)]. 1949 T(x,x \ 1) * L(y,x,K(x,x \ 1)) = x * (K(x,x \ 1) * y). [hyper(228,a,1932,a(flip),b,1815,a)]. 1950 R(x \ 1,x,y) \ (((y / (x * y)) * x) * (1 / x)) = K(x,x \ 1). [hyper(228,a,1841,a,b,1892,a)]. 1951 R(x \ 1,x,y) / (y / (x * y)) = K(y / (x * y),x). [hyper(228,a,644,a(flip),b,1921,a(flip))]. 1953 K(x / (y * x),y) * (x / (y * x)) = R(y \ 1,y,x). [para(1951(a,1),16(a,1,1))]. 1955 x * L(x \ y,y \ x,x \ y) = y * K(y \ x,(y \ x) \ 1). [para(1948(a,1),14(a,1,2)),flip(a)]. 1956 L(x,K(y,y \ 1),y) = L(x,y,K(y,y \ 1)). [hyper(767,a,1949,a)]. 1957 L(x,1 / y,K(1 / y,(1 / y) \ 1)) = L(x,K(y \ 1,y),1 / y). [para(1884(a,1),1956(a,1,2)),flip(a)]. 1958 R(x \ 1,x,y) \ (y / (x * y)) = K(x,x \ 1). [para(1831(a,1),1950(a,1,2))]. 1959 x / (y * x) = R(y \ 1,y,x) * K(y,y \ 1). [para(1958(a,1),14(a,1,2)),flip(a)]. 1962 K(T(x \ 1,x) \ 1,T(x \ 1,(x \ 1) \ 1)) = K(x,x \ 1). [para(1192(a,1),1919(a,1,1))]. 1963 K(T(x \ 1,x) \ 1,T(x \ 1,x)) = K(x,x \ 1). [para(1191(a,1),1962(a,1,2))]. 1964 K(T(x,x \ 1),T(x \ 1,x)) = K(x,x \ 1). [hyper(228,a,1887,a(flip),b,1963,a(flip)),flip(a)]. 1965 K(T(x,x \ 1),T(x,x \ 1) \ 1) = K(x,x \ 1). [para(1184(a,2),1964(a,1,2))]. 1966 K(T(x,x \ 1),T(x,x \ 1) \ 1) * (T(x,x \ 1) \ y) = T(x,x \ 1) \ (K(x,x \ 1) * y). [para(1965(a,1),1931(a,1,2,1)),flip(a)]. 1967 L(x,1 / (1 / y),K(1 / (1 / y),(1 / (1 / y)) \ 1)) = L(x,K(y,y \ 1),1 / (1 / y)). [para(1843(a,1),1957(a,2,2))]. 1968 L(x \ L(y,1 / x,K(x \ 1,x)),x,x \ 1) = (1 / x) * y. [hyper(1040,a,1810,a(flip))]. 1969 (x \ y) * ((z * ((x \ y) \ (x \ u))) / z) = x \ (y * ((z * (y \ u)) / z)). [para(14(a,1),1742(a,1,2,2,1,2,2)),flip(a)]. 1970 (x \ 1) * (K(x \ 1,x) * ((x \ 1) \ y)) = K(x \ 1,x) * y. [para(1845(a,1),1935(a,2,1))]. 1971 (x \ 1) \ (K(x \ 1,x) * y) = K(x \ 1,x) * ((x \ 1) \ y). [hyper(77,a,1970,a)]. 1972 L((1 / x) \ y,1 / x,K(x \ 1,x)) = K(x \ 1,x) * ((x \ 1) \ y). [hyper(228,a,1811,a,b,1971,a(flip)),flip(a)]. 1973 K(1 / x,(1 / x) \ 1) * L(y,x,1 / x) = (1 / x) * (K(x \ 1,x) * (x * y)). [para(395(a,1),1936(a,1,2,2)),flip(a)]. 1974 (1 / ((x * (y \ 1)) * T(z,z \ 1))) \ (z \ y) = R(x,y \ 1,T(z,z \ 1)). [hyper(319,a,657,a)]. 1975 (T(x,y) * (1 / x)) / T(x,y) = L(1 / x,T(x,y),1 / x). [hyper(228,a,1183,a(flip),b,964,a(flip)),flip(a)]. 1977 T(L(1 / x,T(x,y),1 / x),x) = (T(x,y) * (x \ 1)) / T(x,y). [para(1975(a,1),653(a,1,1))]. 1978 (T(x,y) * (x \ 1)) / T(x,y) = L(x \ 1,T(x,y),1 / x). [hyper(228,a,186,a(flip),b,1977,a(flip))]. 1979 x * L(x \ 1,T(x,y),1 / x) = K(T(x,y),1 / x). [para(1978(a,1),1606(a,1,2))]. 1980 ((x * y) \ z) * ((y \ (x \ z)) \ 1) = (y \ (x \ z)) \ ((x * y) \ z). [para(222(a,1),1131(a,1,2)),flip(a)]. 1981 (x \ y) \ (((y \ x) \ 1) \ (x \ y)) = ((y \ x) \ 1) \ 1. [para(351(a,1),1132(a,1,2,2))]. 1982 (x \ y) * (((y \ x) \ 1) \ 1) = ((y \ x) \ 1) \ (x \ y). [para(1981(a,1),14(a,1,2))]. 1983 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = (((y \ x) * (x \ y)) / (y \ x)) * ((x \ y) \ 1). [para(1982(a,1),806(a,1,2,1))]. 1984 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = K(y \ x,((y \ x) / ((x \ y) \ 1)) / (y \ x)). [para(1982(a,1),1602(a,2,2,1)),flip(a)]. 1985 L(T(x,y),y,K(x \ 1,x)) != z | T(x,K(x \ 1,x) * y) = z. [para(1310(a,1),285(a,1))]. 1986 (L(x \ 1,x,y) * y) / L(x \ 1,x,y) = y * (x * T(x \ 1,y)). [hyper(228,a,450,a(flip),b,1341,a)]. 1987 T(x,x * (y * T(y \ 1,x))) = x. [para(1986(a,1),421(a,1,2))]. 1988 x \ ((L(y \ 1,y,x) * x) / L(y \ 1,y,x)) = (x * (y * T(y \ 1,x))) * (x \ 1). [para(1986(a,1),1210(a,1,1)),flip(a)]. 1989 ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) / y = (1 / y) * (y * (x * T(x \ 1,y))). [para(1986(a,1),1423(a,1,2)),flip(a)]. 1990 T(x,x * K(y,x)) = x. [para(934(a,2),1987(a,1,2,2))]. 1991 T(x,x * (y \ (z * T(z \ y,x)))) = x. [para(1379(a,1),1987(a,1,2,2))]. 1992 T(x * K(y,x),x) = x * K(y,x). [hyper(35,a,1990,a)]. 1993 T(x,x * (T(x,y) \ ((y \ x) * ((y \ x) \ x)))) = x. [para(1103(a,1),1991(a,1,2,2,2,2))]. 1994 T(x,x * (T(x,y) \ x)) = x. [para(14(a,1),1993(a,1,2,2,2))]. 1995 T(T(x,y),x * (T(x,z) \ x)) = T(x,y). [para(1994(a,1),38(a,1,1)),flip(a)]. 1996 (x * (T(x,y) \ x)) \ (x * x) = T(x,y). [hyper(228,a,1055,a(flip),b,1995,a(flip)),flip(a)]. 1997 (x * x) / T(x,y) = x * (T(x,y) \ x). [para(1996(a,1),61(a,1,2))]. 1998 (x * (((T(y,x) \ y) * x) \ x)) \ (x * x) = T(x,R(T(y,x),T(y,x) \ 1,x)). [para(1563(a,1),1996(a,1,1,2,1))]. 1999 T(x / T(x,y),x) = T(x,y) \ x. [hyper(1332,a,1997,a)]. 2000 (x / T(x,y)) * x = x * (T(x,y) \ x). [hyper(228,a,1319,a(flip),b,1997,a(flip)),flip(a)]. 2001 T(((T(x,y) \ x) * x) / (T(x,y) \ x),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). [para(1997(a,2),683(a,1,2))]. 2002 T(x,y) * T(T(x,y) \ x,x) = (T(x,y) \ x) * T(x,y). [para(1999(a,1),409(a,1,1)),flip(a)]. 2003 (x * (y * (1 / (x * y)))) \ K(x * y,y \ (x \ 1)) = a(x,y,1 / (x * y)). [para(118(a,1),1850(a,1,2,2))]. 2004 (x \ (1 / (y * (z \ 1)))) \ (x \ z) = R(y,z \ 1,T(x,x \ 1)). [para(630(a,1),1974(a,1,1))]. 2005 R(x,y \ 1,T(z,z \ 1)) = (z \ (y / x)) \ (z \ y). [para(259(a,1),2004(a,1,1,2)),flip(a)]. 2006 (x * (((T(y,x) \ y) * x) \ x)) \ (x * x) = (T(y,x) \ y) * x. [hyper(228,a,1563,a(flip),b,1998,a)]. 2007 K(x * y,y \ (x \ 1)) / a(x,y,1 / (x * y)) = x * (y * (1 / (x * y))). [para(2003(a,1),61(a,1,2))]. 2008 K(x * y,y \ (x \ 1)) / a(x,y,1 / (x * y)) != z | x * (y * (1 / (x * y))) = z. [para(2003(a,1),293(a,1,2)),flip(b)]. 2009 (x * (y * (1 / (x * y)))) \ K(x * y,y \ (x \ 1)) != z | a(x,y,1 / (x * y)) = z. [para(2007(a,1),283(a,1,1)),flip(b)]. 2010 L(x,y,T(z,z \ u)) != w | L(x,y,(z \ u) \ u) = w. [para(613(a,1),770(a,1))]. 2011 T((x * y) * z,z \ (y \ (x \ 1))) = ((y * z) \ (R(x,y,z) \ 1)) \ 1. [para(905(a,1),820(a,1,2))]. 2012 T((x * y) * z,z \ (y \ (x \ 1))) = (z \ (y \ (x \ 1))) \ 1. [para(905(a,1),2011(a,2,1))]. 2013 x * (T(y,x) * R(T(y,x) \ 1,z,u)) = (y * x) * R((y * x) \ x,z,u). [para(113(a,1),856(a,1,2,1,1)),flip(a)]. 2014 T(x,y) * R(T(x,y) \ 1,z,u) = T(x * R(x \ 1,z,u),y). [hyper(171,a,1417,a(flip),b,2013,a),flip(a)]. 2015 L(T(1 / (1 / x),y),z,u) * (1 / x) = L(T(x,y),z,u) / x. [para(128(a,1),1009(a,1,1,1,1)),flip(a)]. 2016 (1 / x) * L(T((1 / x) \ 1,y),z,u) = L(T(x,y),z,u) / x. [hyper(1035,a,2015,a)]. 2017 (1 / x) * L(T(x,y),z,u) = L(T(x,y),z,u) / x. [para(64(a,1),2016(a,1,2,1,1))]. 2018 T(x,y) * (R(x,z,u) \ 1) = R(x,z,u) \ T(x,y). [para(14(a,1),1229(a,1,2,1)),flip(a)]. 2019 R(x / y,z,u) \ T(x / y,y) = (y \ x) * (R(x / y,z,u) \ 1). [para(115(a,1),2018(a,1,1)),flip(a)]. 2020 (x \ y) * (R(y / x,z,u) \ 1) = R(y / x,z,u) \ (x \ y). [para(115(a,1),2019(a,1,2)),flip(a)]. 2021 R((x * y) / x,z,u) \ (x \ (x * y)) = y * (R((x * y) / x,z,u) \ 1). [para(13(a,1),2020(a,1,1)),flip(a)]. 2022 x * (R((y * x) / y,z,u) \ 1) = R((y * x) / y,z,u) \ x. [para(13(a,1),2021(a,1,2)),flip(a)]. 2023 T(x,y) * (T(z / (z / x),y) \ 1) = T(z / (z / x),y) \ T(x,y). [para(422(a,1),1406(a,1,1)),flip(a)]. 2024 x \ ((y * x) * T((y * x) \ z,u)) = T(y,x) * T(T(y,x) \ (x \ z),u). [para(32(a,2),1466(a,1,2,1,1)),flip(a)]. 2025 x \ (y * (x * T(x \ (y \ z),u))) = T(y,x) * T(T(y,x) \ (x \ z),u). [para(852(a,1),2024(a,1,2))]. 2026 T(x,y) * T(T(x,y) \ (y \ z),u) = T(x * T(x \ (z / y),u),y). [hyper(1484,a,2025,a),flip(a)]. 2027 T(x * T(x \ ((y * z) / y),u),y) = T(x,y) * T(T(x,y) \ z,u). [para(13(a,1),2026(a,1,2,1,2)),flip(a)]. 2028 T(x,y) * T(T(x,y) \ T(z,y),u) = T(x * T(x \ z,u),y). [para(166(a,1),2027(a,1,1,2,1,2)),flip(a)]. 2029 T(x,y) * T(T(x,y) \ 1,z) = T(x * T(x \ 1,z),y). [para(146(a,1),2028(a,1,2,1,2))]. 2030 T(x * T(x \ 1,y),z) = K(y \ (y / T(x,z)),y). [hyper(938,a,2029,a),flip(a)]. 2031 (x * T(x \ 1,y)) * z = z * K(y \ (y / T(x,z)),y). [para(2030(a,1),113(a,1,2)),flip(a)]. 2032 T(x * T(x \ 1,y),x \ y) = K(y \ (x \ y),y). [para(199(a,1),2030(a,2,1,2))]. 2033 K(x \ (x / T(x,y)),x) = T(K(x \ 1,x),y). [para(269(a,1),2030(a,1,1)),flip(a)]. 2034 K(x \ (x / T(L(y \ 1,y,x),z)),x) = T(K(y,x),z). [para(1039(a,2),2030(a,1,1)),flip(a)]. 2035 T(L(x,y,z) * T(L(x,y,z) \ 1,x),x * (L(x,y,z) \ 1)) = K(x \ (L(x,y,z) \ x),x). [para(1364(a,2),2032(a,1,2))]. 2036 K(x \ (x / T(y \ x,z)),x) = T(K(x \ y,x),z). [para(351(a,1),2034(a,1,1,2,2,1))]. 2037 T(K(x \ y,x),(y \ x) \ z) = K(x \ (x / (((y \ x) \ z) \ z)),x). [para(114(a,1),2036(a,1,1,2,2)),flip(a)]. 2038 T(x * L(x \ ((y * z) / y),u,w),y) = T(x,y) * L(T(x,y) \ z,u,w). [hyper(171,a,1595,a,b,1500,a(flip))]. 2039 T(x,y) * L(T(x,y) \ y,z,u) = T(x * L(x \ y,z,u),y). [hyper(171,a,1594,a(flip),b,1500,a(flip)),flip(a)]. 2040 x * (T(y,x) * L(T(y,x) \ 1,z,u)) = (y * x) * L((y * x) \ x,z,u). [para(12(a,1),1500(a,1,2,1,2)),flip(a)]. 2041 T(x,y) * L(T(x,y) \ 1,z,u) = T(x * L(x \ 1,z,u),y). [hyper(171,a,1624,a(flip),b,2040,a),flip(a)]. 2042 T(x,y) \ T(x * L(x \ 1,z,u),y) = L(T(x,y) \ 1,z,u). [hyper(77,a,2041,a)]. 2043 T(x * L(x \ 1,T(x,y),z),y) = T(x,y) * ((z * T(x,y)) \ z). [hyper(228,a,353,a(flip),b,2041,a(flip))]. 2044 T(x,y) * L(T(x,y) \ 1,z,u) != w | T(x * L(x \ 1,z,u),y) = w. [para(2042(a,1),213(a,1,2)),flip(b)]. 2045 T(x \ y,z) \ T((x \ y) * (y \ x),z) = L(T(x \ y,z) \ 1,x \ y,x). [para(351(a,1),2042(a,1,2,1,2))]. 2046 T(x * L(x \ 1,T(x,y),1 / x),y) = T(x,y) * ((T(x,y) / x) \ (1 / x)). [para(957(a,1),2043(a,2,2,1))]. 2047 T(x,y) * ((T(x,y) / x) \ (1 / x)) = T(K(T(x,y),1 / x),y). [para(1979(a,1),2046(a,1,1)),flip(a)]. 2048 (x \ ((y \ x) * z)) * R((x \ ((y \ x) * z)) \ z,u,w) = x \ ((R(y,u,w) * (y \ x)) * z). [para(601(a,1),1659(a,2,2,1))]. 2049 (((x * y) / x) / y) * (1 / y) = (1 / y) * (((x * y) / x) / y). [para(1442(a,1),1690(a,1,2)),flip(a)]. 2050 ((1 / x) * (((y * x) / y) / x)) / (1 / x) = ((y * x) / y) / x. [hyper(85,a,2049,a)]. 2051 R(((x * y) / x) / y,y,x) = ((1 / y) * ((x * y) / (y * x))) / (1 / y). [para(2050(a,1),830(a,1,1))]. 2052 ((1 / x) * ((y * x) / (x * y))) / (1 / x) = (y * x) / (x * y). [hyper(228,a,226,a(flip),b,2051,a(flip))]. 2053 T((x * y) / (y * x),y * x) = ((1 / y) * ((y * x) \ (x * y))) / (1 / y). [para(2052(a,1),653(a,1,1))]. 2054 ((1 / x) * ((x * y) \ (y * x))) / (1 / x) = (x * y) \ (y * x). [hyper(647,a,2053,a),flip(a)]. 2055 K(x,y) = ((1 / y) * ((y * x) \ (x * y))) / (1 / y). [hyper(228,a,26,a,b,2054,a),flip(a)]. 2056 ((1 / x) * K(y,x)) / (1 / x) = K(y,x). [para(26(a,2),2055(a,2,1,2)),flip(a)]. 2057 K(x,y) * (1 / y) = (1 / y) * K(x,y). [para(2056(a,1),16(a,1,1))]. 2058 (K(x,y) * (1 / y)) / K(x,y) = 1 / y. [para(2056(a,1),67(a,1,1,1))]. 2059 K(x,1 / x) * (1 / (1 / x)) = x. [hyper(228,a,812,a(flip),b,2057,a)]. 2060 T(1 / x,K(y,x)) = 1 / x. [hyper(172,a,2057,a)]. 2061 K(1 / x,K(y,x)) = 1. [hyper(70,a,2057,a,b,93,a),flip(a)]. 2062 K(x,K(y,x \ 1)) = 1. [para(61(a,1),2061(a,1,1))]. 2063 T(x,K(y,x \ 1)) = x. [hyper(37,a,2062,a)]. 2064 L(x,y,z) * K(u,x \ 1) = K(u,x \ 1) * L(x,y,z). [para(2063(a,1),183(a,1,2,1)),flip(a)]. 2065 L(x,1 / x,x) = 1 / (1 / x). [hyper(581,a,2059,a)]. 2066 K(x,x \ 1) * (1 / (1 / x)) = x. [para(1839(a,1),2059(a,1,1))]. 2067 L(T(x,y),1 / x,x) = T(1 / (1 / x),y). [para(2065(a,1),40(a,2,1))]. 2068 K(x,x \ 1) \ x = 1 / (1 / x). [hyper(77,a,2066,a)]. 2069 x * L(y,1 / (1 / x),K(x,x \ 1)) = K(x,x \ 1) * ((1 / (1 / x)) * y). [para(2066(a,1),100(a,1,1))]. 2070 L((1 / (1 / x)) \ y,1 / (1 / x),K(x,x \ 1)) = x \ (K(x,x \ 1) * y). [para(2066(a,1),102(a,2,1))]. 2071 R(1 / x,y,z) \ (K(u,x) * R(1 / x,y,z)) = K(u,x). [para(2058(a,1),793(a,1,1,1))]. 2072 K(x,1 / x) \ (x * (T(x,y) / x)) = T(1 / (1 / x),y). [hyper(228,a,982,a,b,2067,a(flip)),flip(a)]. 2073 K(x,x \ 1) * L(x,y,z) = x * (L(x,y,z) * (1 / x)). [hyper(228,a,1856,a(flip),b,2064,a(flip))]. 2074 T(K(x,y),R(1 / y,z,u)) = K(x,y). [hyper(285,a,2071,a)]. 2075 T(K(x,y),y \ 1) = K(x,y). [para(360(a,1),2074(a,1,2))]. 2076 T(x \ 1,K(y,x)) = x \ 1. [hyper(35,a,2075,a)]. 2077 T((x * y) \ x,K(z,y)) = L(y \ 1,y,x). [para(2076(a,1),356(a,2,1))]. 2078 T(x \ y,K(z,y \ x)) = L((y \ x) \ 1,y \ x,y). [para(14(a,1),2077(a,1,1,1))]. 2079 T(x \ y,K(z,y \ x)) = x \ y. [hyper(228,a,351,a(flip),b,2078,a)]. 2080 K(x,y \ z) * (z \ y) = (z \ y) * K(x,y \ z). [para(2079(a,1),113(a,1,2))]. 2081 K(x,1 / x) * T(1 / (1 / x),y) = x * (T(x,y) / x). [para(2072(a,1),14(a,1,2))]. 2082 K(x,x \ 1) * (x \ L(x,y,z)) = L(x,y,z) * (1 / x). [hyper(1933,a,2073,a)]. 2083 K(x,x \ 1) * T(1 / (1 / x),y) = x * (T(x,y) / x). [para(1839(a,1),2081(a,1,1))]. 2084 K(1 / x,(1 / x) \ 1) * ((1 / x) \ L(1 / x,y,z)) = L(x \ 1,y,z) / (1 / x). [hyper(228,a,1898,a(flip),b,2082,a)]. 2085 K(x,x \ 1) * T(K(x,x \ 1) \ x,y) = x * (T(x,y) / x). [para(2068(a,2),2083(a,1,2,1))]. 2086 (x * (T(x,y) / x)) * (K(x,x \ 1) \ 1) = T(x * (K(x,x \ 1) \ 1),y). [para(2085(a,1),955(a,1,1))]. 2087 (x * (T(x,y) / x)) * K(x \ 1,x) = T(x * (K(x,x \ 1) \ 1),y). [para(1886(a,1),2086(a,1,2))]. 2088 (x * (T(x,y) / x)) * K(x \ 1,x) = T(x * K(x \ 1,x),y). [para(1886(a,1),2087(a,2,1,2))]. 2089 (x * (T(x,y) / x)) * K(x \ 1,x) = T(1 / (1 / x),y). [para(1809(a,1),2088(a,2,1))]. 2091 ((x * y) / x) / ((y \ 1) \ 1) = (y \ 1) * ((x * y) / x). [para(271(a,1),1705(a,1,2,1,2)),flip(a)]. 2092 (T(x,y) \ 1) * ((y * T(x,y)) / y) = x / ((T(x,y) \ 1) \ 1). [para(166(a,1),2091(a,1,1)),flip(a)]. 2093 x / ((T(x,y) \ 1) \ 1) = (T(x,y) \ 1) * x. [para(166(a,1),2092(a,1,2)),flip(a)]. 2094 (T(x,y) \ 1) \ ((T(x,y) \ x) / x) = K(x,((T(x,y) \ 1) * x) / x). [para(2093(a,1),1610(a,1,2,1)),flip(a)]. 2095 (T(x,y) \ 1) \ ((T(x,y) \ x) / x) = K(x,T(x,y) \ 1). [para(15(a,1),2094(a,2,2))]. 2096 (T(x,y) \ 1) * K(x,T(x,y) \ 1) = (T(x,y) \ x) / x. [para(2095(a,1),14(a,1,2))]. 2099 (x * ((y * (x \ 1)) / y)) * (x * z) = x * ((x * ((y * (x \ 1)) / y)) * z). [para(1597(a,1),1725(a,1,2)),flip(a)]. 2100 K(x,(x / y) / x) * (y * z) = y * ((y * ((x * (y \ 1)) / x)) * z). [para(1602(a,2),2099(a,1,1))]. 2101 K(x,(y * x) \ y) * x = T(x,(y * x) \ y). [para(13(a,1),1882(a,1,1,1))]. 2102 x \ T(x,(y * x) \ y) = T(K(x,(y * x) \ y),x). [hyper(171,a,2101,a,b,14,a),flip(a)]. 2105 (x * y) * ((z * ((x * y) \ (u * y))) / z) = (((z * (u / x)) / z) * x) * y. [hyper(834,a,865,a),flip(a)]. 2106 (((x * ((y / z) / u)) / x) * u) * z = (u * z) * ((x * ((u * z) \ y)) / x). [para(16(a,1),2105(a,1,2,1,2,2)),flip(a)]. 2107 (x * y) * ((z * ((x * y) \ (u * y))) / z) = (x * ((z * (x \ u)) / z)) * y. [para(805(a,1),2105(a,2,1))]. 2108 (x * y) * ((x * ((x * y) \ z)) / x) = (x * ((z / y) / x)) * y. [hyper(300,a,2106,a),flip(a)]. 2109 (x * y) * ((x * ((x * y) \ z)) / x) != u | (x * ((z / y) / x)) * y = u. [para(2106(a,1),300(a,1))]. 2110 (x * ((x / y) / x)) * y = T(x,x / (x * y)). [hyper(1114,a,2108,a),flip(a)]. 2111 x * (y * ((x * (y \ (x \ z))) / x)) = (x * ((z / y) / x)) * y. [hyper(228,a,1249,a(flip),b,2108,a(flip)),flip(a)]. 2112 x \ T(y,y / (y * x)) = T(y * ((y / x) / y),x). [hyper(171,a,2110,a,b,14,a),flip(a)]. 2114 (x * (R(y / z,z,y \ u) / x)) * (z * (y \ u)) = x * ((z * (y \ u)) * ((x * ((z * (y \ u)) \ (x \ u))) / x)). [para(281(a,2),2111(a,2,1,2,1)),flip(a)]. 2115 (x * ((y / (z * (x \ y))) / x)) * (z * (x \ y)) = x * ((z * ((x * (z \ 1)) / x)) * (x \ y)). [para(1597(a,1),2111(a,1,2)),flip(a)]. 2116 T(x,x / (x * y)) != z | (x * ((x / y) / x)) * y = z. [para(1098(a,1),2109(a,1))]. 2118 ((x * y) * ((z * ((x * y) \ x)) / z)) * y = (x * y) * (y * ((z * (y \ 1)) / z)). [hyper(1033,a,2107,a),flip(a)]. 2119 ((x / y) * ((z * ((x / y) \ u)) / z)) * y = x * ((z * (((x / y) * y) \ (u * y))) / z). [hyper(300,a,2107,a),flip(a)]. 2120 (x \ (y * x)) * ((z * ((x \ (y * x)) \ x)) / z) = T(y * ((z * (y \ x)) / z),x). [hyper(171,a,2107,a(flip),b,1499,a),flip(a)]. 2122 T(x,y) * ((z * ((y \ (x * y)) \ y)) / z) = T(x * ((z * (x \ y)) / z),y). [para(32(a,2),2120(a,1,1))]. 2123 T(x,y) * ((z * (T(x,y) \ y)) / z) = T(x * ((z * (x \ y)) / z),y). [para(32(a,2),2122(a,1,2,1,2,1))]. 2124 (x \ 1) * (L(x \ 1,x,y) \ (x * ((y * x) \ y))) = K(x \ 1,x * ((y * x) \ y)). [hyper(228,a,1363,a(flip),b,1005,a(flip)),flip(a)]. 2125 R((1 / (x * y)) * x,y,y \ 1) = T((1 / (x * y)) * x,y). [hyper(228,a,878,a(flip),b,1022,a(flip))]. 2126 a(1 / (x * y),x,y) \ T((1 / (x * y)) * x,y) = y \ 1. [para(2125(a,1),838(a,1,2))]. 2127 (L(x,1 / x,y) * y) / L(x,1 / x,y) = y * ((1 / x) * T(x,y)). [hyper(228,a,450,a(flip),b,1342,a)]. 2128 (L(x,1 / x,y) * y) / L(x,1 / x,y) = y * (T(x,y) / x). [para(957(a,1),2127(a,2,2))]. 2129 x * (((L(y,1 / y,x) * x) / L(y,1 / y,x)) \ z) = (x * (T(y,x) / y)) \ (x * z). [para(2128(a,1),1404(a,1,1)),flip(a)]. 2130 (x * y) * (z * T(z \ L(y \ z,y,x),u)) = (x * (y * T(y \ 1,u))) * z. [para(692(a,1),1481(a,1,1)),flip(a)]. 2131 (x * y) * ((z \ L(y \ z,y,x)) * z) = (x * (y * T(y \ 1,z))) * z. [para(113(a,1),2130(a,1,2))]. 2132 (x * x) * L((x * x) \ (1 / (1 / x)),y,z) = (L(x \ 1,y,z) * x) * x. [hyper(228,a,482,a(flip),b,1880,a)]. 2133 x * (x * L(x \ (x \ (1 / (1 / x))),y,z)) = (L(x \ 1,y,z) * x) * x. [hyper(1019,a,2132,a)]. 2134 x * (x * L(x \ K(x \ 1,x),y,z)) = (L(x \ 1,y,z) * x) * x. [para(1805(a,1),2133(a,1,2,2,1,2))]. 2135 x * (x * L(T(x \ 1,x),y,z)) = (L(x \ 1,y,z) * x) * x. [para(273(a,1),2134(a,1,2,2,1))]. 2136 (L(x \ 1,y,z) * x) * x = x * (L(x \ 1,y,z) * x). [para(183(a,1),2135(a,1,2)),flip(a)]. 2137 T(x,L(x \ 1,y,z) * x) = x. [hyper(172,a,2136,a)]. 2138 T(x \ y,(y \ x) * (x \ y)) = x \ y. [para(351(a,1),2137(a,1,2,1))]. 2139 T(x \ (x / y),y * (x \ (x / y))) = x \ (x / y). [para(64(a,1),2138(a,1,2,1))]. 2140 R(x \ (x / y),y,x \ (x / y)) = T(x \ (x / y),y). [para(2139(a,1),738(a,1,1))]. 2141 T(x \ (x / y),y) \ T((x \ (x / y)) * y,x \ (x / y)) = T(y,x \ (x / y)). [para(2140(a,1),1235(a,1,1))]. 2142 T(x \ (x / y),y) \ ((x \ (x / y)) * y) = T(y,x \ (x / y)). [para(1648(a,1),2141(a,1,2))]. 2143 T(x,T(y \ (y / x),x)) = T(x,y \ (y / x)). [hyper(382,a,2142,a)]. 2144 T(x,R(x,y,z) \ (R(x,y,z) / x)) = T(x,T(T(1 / x,R(x,y,z)),x)). [para(1668(a,1),2143(a,1,2,1)),flip(a)]. 2145 T(x,R(x,y,z) \ (R(x,y,z) / x)) = T(x,T(x \ 1,R(x,y,z))). [para(185(a,1),2144(a,2,2))]. 2146 T(x,T(1 / x,R(x,y,z))) = T(x,T(x \ 1,R(x,y,z))). [para(1668(a,1),2145(a,1,2))]. 2147 K(1 / x,(1 / x) \ 1) * L(y,x,1 / x) = (1 / x) * (x * (K(x \ 1,x) * y)). [para(1305(a,1),1973(a,2,2))]. 2148 T(T(x,y) * T(T(x,y) \ x,x),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). [para(1336(a,1),2001(a,1,1))]. 2149 T(L(x,T(x,y) \ x,T(x,y)),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). [para(1078(a,1),2148(a,1,1))]. 2150 T(L(x,T(x,y) \ x,T(x,y)),x * (T(x,y) \ x)) = L(x,T(x,y) \ x,x). [para(1997(a,1),2149(a,1,2))]. 2151 L(T(x,x * (T(x,y) \ x)),T(x,y) \ x,T(x,y)) = L(x,T(x,y) \ x,x). [hyper(228,a,40,a,b,2150,a(flip)),flip(a)]. 2152 L(x,T(x,y) \ x,T(x,y)) = L(x,T(x,y) \ x,x). [para(1994(a,1),2151(a,1,1))]. 2153 T(x,y) * T(T(x,y) \ x,x) = L(x,T(x,y) \ x,x). [hyper(228,a,1078,a,b,2152,a(flip)),flip(a)]. 2154 x * L(y,T(y,x) \ y,y) = (y * x) * T(K(x,y),y). [para(2152(a,1),1728(a,1,2))]. 2155 L(x,T(x,y) \ x,x) = (T(x,y) \ x) * T(x,y). [hyper(228,a,2002,a(flip),b,2153,a(flip))]. 2156 K(x \ 1,x * ((y * x) \ y)) = (x \ 1) * T(x,(y * x) \ y). [para(700(a,1),2124(a,1,2)),flip(a)]. 2157 T(1 / (1 / x),(y * x) \ y) / K(x \ 1,x * ((y * x) \ y)) = x. [para(2156(a,2),1879(a,1,2))]. 2158 K(1 / x,(1 / x) \ 1) * L(y,x,1 / x) = L(K(x \ 1,x) * y,x,1 / x). [hyper(228,a,193,a(flip),b,2147,a)]. 2159 L(K(x \ 1,x) * y,x,1 / x) = K(x \ 1,x) * L(y,x,1 / x). [para(1884(a,1),2158(a,1,1)),flip(a)]. 2160 K(x \ 1,x) * L(T(y,K(x \ 1,x)),x,1 / x) = L(y * K(x \ 1,x),x,1 / x). [para(113(a,1),2159(a,1,1)),flip(a)]. 2161 K(x \ 1,x) * T(K(x \ 1,x) \ y,z) = (x \ 1) * (x * T(x \ ((x \ 1) \ y),z)). [para(189(a,2),988(a,1,2,1,1))]. 2162 (x \ 1) * ((x \ R(x,y,z)) / (x \ 1)) = T((x \ 1) * R(x,y,z),x \ 1). [para(1462(a,1),1297(a,1,2,1))]. 2163 T((x \ 1) * R(x,y,z),x \ 1) = (x \ 1) * R(x,y,z). [para(1148(a,1),2162(a,1,2)),flip(a)]. 2164 T(x \ 1,R(x,y,z)) \ ((x \ 1) * R(x,y,z)) = T(R(x,y,z),x \ 1). [para(2163(a,1),1465(a,1,2))]. 2165 T(R(x,y,z),T(x \ 1,R(x,y,z))) = T(R(x,y,z),x \ 1). [hyper(382,a,2164,a)]. 2166 R(T(x,T(x \ 1,R(x,y,z))),y,z) = T(R(x,y,z),x \ 1). [hyper(228,a,42,a,b,2165,a(flip)),flip(a)]. 2167 R(T(x,T(x \ 1,R(x,y,z))),y,z) = R(T(x,x \ 1),y,z). [hyper(228,a,42,a,b,2166,a)]. 2168 R(T(x,T(1 / x,R(x,y,z))),y,z) = R(T(x,x \ 1),y,z). [para(2146(a,2),2167(a,1,1))]. 2169 ((x * y) / x) * T(((x * y) / x) \ z,u) = (x * (y * T(y \ T(z,x),u))) / x. [para(32(a,2),1467(a,1,1,2,2,1,2)),flip(a)]. 2170 (x * T(x \ y,x)) * (1 / x) = T(y * (1 / x),x). [para(57(a,1),1478(a,1,1)),flip(a)]. 2171 ((x \ y) * x) * (1 / x) = T(y * (1 / x),x). [para(113(a,1),2170(a,1,1))]. 2173 T((x * y) * (1 / x),x) = (y * x) * (1 / x). [para(13(a,1),2171(a,1,1,1)),flip(a)]. 2174 T(x * (1 / y),y) != z * (1 / y) | (y \ x) * y = z. [para(2171(a,1),20(a,1))]. 2175 T((x * y) * (1 / x),x) != z * (1 / x) | y * x = z. [para(2173(a,2),20(a,1))]. 2176 T(T(x,y) * ((T(x,y) / x) \ (1 / x)),T(x,y)) = T(x,y) * (K(y \ (y / (1 / x)),y) \ (1 / x)). [para(965(a,2),1649(a,2,2,1))]. 2177 (x \ L(x,y,z)) * ((x \ 1) * u) = (x \ 1) * ((x \ L(x,y,z)) * u). [para(1127(a,1),1778(a,1,2,1)),flip(a)]. 2178 (x \ 1) * ((x \ L(x,y,z)) \ 1) = (x \ L(x,y,z)) \ (x \ 1). [hyper(71,a,55,a(flip),b,2177,a),flip(a)]. 2179 (x \ L(x,y,z)) \ (x \ 1) != (x \ 1) * u | (x \ L(x,y,z)) \ 1 = u. [para(2178(a,1),19(a,1))]. 2180 K(x,x \ 1) * T(K(x,x \ 1) \ y,z) = x * ((1 / x) * T((1 / x) \ (x \ y),z)). [para(1841(a,2),1855(a,1,2,1,1))]. 2181 (x * (y * T(y \ 1,x))) * (x \ 1) = x \ (x * (y * T(y \ 1,x))). [para(1986(a,1),1988(a,1,2)),flip(a)]. 2182 (x * (y * T(y \ 1,x))) * (x \ 1) = y * T(y \ 1,x). [hyper(228,a,13,a(flip),b,2181,a)]. 2184 (x \ 1) * T((x \ 1) \ 1,y) = (y * (x \ T(x,y))) * (y \ 1). [para(920(a,1),2182(a,1,1,2)),flip(a)]. 2185 ((x * y) \ x) * T(((x * y) \ x) \ 1,x) = (x * K(y,x)) * (x \ 1). [para(934(a,2),2182(a,1,1,2)),flip(a)]. 2186 (x * (y \ T(y,x))) * (x \ 1) = y \ T(y,x). [hyper(228,a,920,a(flip),b,2184,a(flip))]. 2187 (x * K(y,x)) * (x \ 1) = K(y,x). [hyper(974,a,2185,a),flip(a)]. 2188 (1 / x) * K(y,1 / x) = K(y,1 / x) / x. [hyper(313,a,2187,a),flip(a)]. 2189 ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) / y = L(x * T(x \ 1,y),y,1 / y). [hyper(228,a,193,a(flip),b,1989,a)]. 2190 L(x * T(x \ 1,y),y,1 / y) = (y * (x * T(x \ 1,y))) / y. [para(1986(a,1),2189(a,1,1)),flip(a)]. 2191 (x * (((x * y) \ x) * T(((x * y) \ x) \ 1,x))) / x = L(K(y,x),x,1 / x). [para(934(a,2),2190(a,1,1)),flip(a)]. 2192 L(K(x,y),y,1 / y) = (y * K(x,y)) / y. [para(934(a,2),2191(a,1,1,2)),flip(a)]. 2193 K(x \ 1,x) * ((1 / x) \ L(1 / x,y,z)) = L(x \ 1,y,z) / (1 / x). [para(1884(a,1),2084(a,1,1))]. 2194 K(x \ 1,x) * (x * L(x \ 1,y,z)) = L(x \ 1,y,z) / (1 / x). [para(995(a,1),2193(a,1,2))]. 2195 ((x / y) * ((z * ((x / y) \ u)) / z)) * y = x * ((z * (x \ (u * y))) / z). [para(16(a,1),2119(a,2,2,1,2,1))]. 2196 (x * ((y * (x \ (z * u))) / y)) / u = (x / u) * ((y * ((x / u) \ z)) / y). [hyper(85,a,2195,a)]. 2197 (x / y) * ((z * ((x / y) \ 1)) / z) = (x * ((z * (x \ y)) / z)) / y. [para(11(a,1),2196(a,1,1,2,1,2,2)),flip(a)]. 2198 (x * (T(y,x) / y)) \ (x * z) = x * ((x * (T(y,x) / y)) \ z). [para(2128(a,1),2129(a,1,2,1)),flip(a)]. 2199 L(x * K(y \ 1,y),y,1 / y) = L(x,y,1 / y) * K(y \ 1,y). [hyper(378,a,2160,a),flip(a)]. 2200 K(x \ 1,x) * T(K(x \ 1,x) \ y,z) = (x \ T(x * (y / x),z)) * x. [hyper(228,a,1485,a(flip),b,2161,a)]. 2201 K(x,x \ 1) * T(K(x,x \ 1) \ y,z) = x * (T((x \ y) * x,z) / x). [para(929(a,1),2180(a,2,2))]. 2202 K(x,x \ 1) * T(K(x,x \ 1) \ y,x) = T(y,x). [hyper(228,a,1287,a(flip),b,2201,a)]. 2203 T(x * K(y,y \ 1),y) = T(x,y) * K(y,y \ 1). [hyper(695,a,2202,a),flip(a)]. 2204 T(K(x,x \ 1) * y,x) = K(x,x \ 1) * T(y,x). [para(13(a,1),2202(a,1,2,1)),flip(a)]. 2205 T((1 / K(x,x \ 1)) * y,x) = (1 / K(x,x \ 1)) * T(y,x). [para(2202(a,1),876(a,1,2)),flip(a)]. 2206 T((x / y) * K(y,y \ 1),y) = (y \ x) * K(y,y \ 1). [para(115(a,1),2203(a,2,1))]. 2207 x * T(K(x,x \ 1) * y,x) = K(x,x \ 1) * (y * x). [para(2204(a,2),1934(a,1,2))]. 2208 x \ (y * K(x,x \ 1)) = (x \ y) * K(x,x \ 1). [hyper(1916,a,2206,a)]. 2209 x * ((x \ y) * K(x,x \ 1)) = y * K(x,x \ 1). [para(2208(a,1),14(a,1,2))]. 2210 ((1 / x) \ y) * K(1 / x,(1 / x) \ 1) = (1 / x) \ (y * K(1 / x,x)). [para(64(a,1),2208(a,1,2,2,2)),flip(a)]. 2211 (x * y) * K(x,x \ 1) = x * (y * K(x,x \ 1)). [para(13(a,1),2209(a,1,2,1)),flip(a)]. 2212 R(x,y,K(x,x \ 1)) = x. [hyper(476,a,2211,a)]. 2213 R(T(x,y),z,K(x,x \ 1)) = T(x,y). [para(2212(a,1),42(a,2,1))]. 2214 T(x,y * K(x,x \ 1)) = T(x,y). [hyper(228,a,1915,a(flip),b,2213,a(flip))]. 2216 T(x,R(x \ 1,x,y)) = T(x,y / (x * y)). [para(1959(a,2),2214(a,1,2)),flip(a)]. 2217 (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(2216(a,1),177(a,1,2,1))]. 2218 (K(x,x \ 1) * y) * x = K(x,x \ 1) * (y * x). [hyper(219,a,2207,a)]. 2219 K(x,x \ 1) * (y * x) != z | (K(x,x \ 1) * y) * x = z. [para(2207(a,1),219(a,1))]. 2220 L(x,y,K(x,x \ 1)) = x. [hyper(445,a,2218,a)]. 2221 L(1 / x,y,K(x \ 1,x)) = 1 / x. [para(1884(a,1),2220(a,1,3))]. 2222 L(T(1 / x,y),z,K(x \ 1,x)) = T(1 / x,y). [para(2221(a,1),40(a,2,1))]. 2223 (1 / K(x,x \ 1)) * T(y,x) = T(K(x \ 1,x) * y,x). [para(430(a,1),2205(a,1,1,1)),flip(a)]. 2224 T(K(x \ 1,x) * y,x) = K(x \ 1,x) * T(y,x). [para(430(a,1),2223(a,1,1)),flip(a)]. 2225 x * T(K(x \ 1,x) * y,x) = K(x \ 1,x) * (y * x). [para(2224(a,2),1306(a,1,2))]. 2226 (K(x \ 1,x) * y) * x = K(x \ 1,x) * (y * x). [hyper(219,a,2225,a)]. 2227 L(x,y,K(x \ 1,x)) = x. [hyper(445,a,2226,a)]. 2228 L(T(x,y),z,K(x \ 1,x)) = T(x,y). [para(2227(a,1),40(a,2,1))]. 2229 T(x,K(x \ 1,x) * y) = T(x,y). [hyper(1985,a,2228,a)]. 2230 T(x,L(x \ y,x,x \ 1)) = T(x,(x \ 1) * y). [para(987(a,1),2229(a,1,2)),flip(a)]. 2231 (1 / x) \ (L(y,x,1 / x) * K(1 / x,x)) = (x * y) * K(1 / x,(1 / x) \ 1). [para(395(a,1),2210(a,1,1)),flip(a)]. 2232 (1 / x) \ (L(y,x,1 / x) * K(x \ 1,x)) = (x * y) * K(1 / x,(1 / x) \ 1). [para(1885(a,1),2231(a,1,2,2))]. 2233 (1 / x) \ L(y * K(x \ 1,x),x,1 / x) = (x * y) * K(1 / x,(1 / x) \ 1). [para(2199(a,2),2232(a,1,2))]. 2234 (x * y) * K(1 / x,(1 / x) \ 1) = x * (y * K(x \ 1,x)). [hyper(519,a,2233,a),flip(a)]. 2235 (x * y) * K(x \ 1,x) = x * (y * K(x \ 1,x)). [para(1884(a,1),2234(a,1,2))]. 2236 R(x,y,K(x \ 1,x)) = x. [hyper(476,a,2235,a)]. 2237 x * (y * K(x \ 1,x)) != z | (x * y) * K(x \ 1,x) = z. [para(2236(a,1),221(a,1,1))]. 2238 R(1 / x,y,K(x,x \ 1)) = 1 / x. [para(1843(a,1),2236(a,1,3))]. 2239 R(R(1 / x,y,z),u,K(x,x \ 1)) = R(1 / x,y,z). [para(2238(a,1),46(a,1,1)),flip(a)]. 2240 (x * K(x,y)) * T((x * K(x,y)) \ (x * y),z) = (T(y,z) * x) * K(x,y). [hyper(228,a,481,a(flip),b,690,a)]. 2241 x * (K(x,y) * T(K(x,y) \ y,z)) = (T(y,z) * x) * K(x,y). [hyper(858,a,2240,a)]. 2242 (T(x,K(y,x)) * y) * K(y,x) = y * ((K(y,x) \ x) * K(y,x)). [para(113(a,1),2241(a,1,2)),flip(a)]. 2243 (L(x,y,z) * (1 / x)) / L(x,y,z) = L(1 / x,L(x,y,z),1 / x). [hyper(228,a,1644,a(flip),b,1016,a(flip)),flip(a)]. 2245 x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = L(1 / x,L(x,y,z),1 / x) * x. [para(2243(a,1),805(a,1,1)),flip(a)]. 2246 x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = x * L(x \ 1,L(x,y,z),1 / x). [hyper(228,a,588,a(flip),b,2245,a)]. 2247 x * L(x \ 1,L(x,y,z),1 / x) = K(L(x,y,z),1 / x). [hyper(228,a,1607,a(flip),b,2246,a(flip))]. 2248 (x * y) * K(z \ (z / L(u,y,x)),z) = x * ((y * u) * T((y * u) \ y,z)). [hyper(858,a,1386,a),flip(a)]. 2249 (x * y) * K(z \ (z / L(u,y,x)),z) = x * (y * (u * T(u \ 1,z))). [para(692(a,1),2248(a,2,2))]. 2250 L(x * T(x \ 1,y),z,u) = K(y \ (y / L(x,z,u)),y). [hyper(445,a,2249,a)]. 2251 L(x,y,z) * T(L(x,y,z) \ 1,u) = L(x * T(x \ 1,u),y,z). [hyper(228,a,936,a(flip),b,2250,a),flip(a)]. 2252 L(x \ T(x,y),z,u) = K(y \ (y / L(x \ 1,z,u)),y). [para(920(a,1),2250(a,1,1))]. 2253 L(x \ T(x,(y * x) \ y),x,y) = K(((y * x) \ y) \ 1,(y * x) \ y). [para(398(a,1),2252(a,2,1,2))]. 2254 L(T(K(x,(y * x) \ y),x),x,y) = K(((y * x) \ y) \ 1,(y * x) \ y). [para(2102(a,1),2253(a,1,1))]. 2255 K(x \ (x / R(y,z,u)),x) = (((y * z) * T((y * z) \ z,x)) * u) / (z * u). [para(1416(a,1),1475(a,2,1))]. 2256 K(x \ (x / R(y,z,u)),x) = (((y * T(y \ 1,x)) * z) * u) / (z * u). [para(1158(a,1),2255(a,2,1,1))]. 2257 R(x * T(x \ 1,y),z,u) = K(y \ (y / R(x,z,u)),y). [hyper(228,a,30,a,b,2256,a),flip(a)]. 2258 K(x \ (x / R(y,z,u)),x) != w | R(y * T(y \ 1,x),z,u) = w. [para(2256(a,2),489(a,1))]. 2259 R(x,y,z) * T(R(x,y,z) \ 1,u) = R(x * T(x \ 1,u),y,z). [hyper(228,a,936,a(flip),b,2257,a),flip(a)]. 2260 R(x * T(x \ 1,R(x,y,z)),y,z) = K(R(x,y,z) \ 1,R(x,y,z)). [para(58(a,1),2257(a,2,1,2))]. 2261 (((x * y) \ x) \ K(y,x)) / (((x * y) \ x) \ 1) = K(y,x). [hyper(228,a,934,a,b,976,a)]. 2262 T(K(x,y),((y * x) \ y) \ 1) != z | (((y * x) \ y) \ 1) \ (((y * x) \ y) \ K(x,y)) = z. [para(2261(a,1),647(a,1,1))]. 2263 K(x \ 1,x) * R(K(x \ 1,x) \ y,z,u) = (x \ 1) * (x * R(x \ ((x \ 1) \ y),z,u)). [para(189(a,2),1018(a,1,2,1,1))]. 2264 K(x \ 1,x) * L(K(x \ 1,x) \ y,z,u) = (x \ 1) * (x * L(x \ ((x \ 1) \ y),z,u)). [para(189(a,2),1020(a,1,2,1,1))]. 2265 K(T(x,R(x \ 1,y,z)),R(x \ 1,y,z)) = x \ T(x,R(x \ 1,y,z)). [para(32(a,2),1214(a,1,1))]. 2266 K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)) = x \ T(x,y / (x * y)). [para(2216(a,1),2265(a,2,2))]. 2267 L(1 / (x \ y),x \ y,x) * ((y \ x) \ 1) = (y \ x) \ L(1 / (x \ y),x \ y,x). [para(846(a,1),1277(a,1,2)),flip(a)]. 2268 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(1525(a,1),1681(a,1,1))]. 2269 R(T(x,x \ 1),y,z) \ R(x,y,z) = (R(x,y,z) \ (R(x,y,z) / x)) * x. [para(2168(a,1),2268(a,1,1))]. 2270 R(T(x,x \ 1),y,z) \ R(x,y,z) = T(1 / x,R(x,y,z)) * x. [para(1668(a,1),2269(a,2,1))]. 2271 R(T(x,x \ 1),y,z) \ R(x,y,z) != u | x * T(x \ 1,R(x,y,z)) = u. [para(2270(a,2),646(a,1))]. 2272 T(L(x * T(x \ 1,x),y,z),x * (L(x,y,z) \ 1)) = K(x \ (L(x,y,z) \ x),x). [para(2251(a,1),2035(a,1,1))]. 2273 T(L(K(x \ 1,x),y,z),x * (L(x,y,z) \ 1)) = K(x \ (L(x,y,z) \ x),x). [para(269(a,1),2272(a,1,1,1))]. 2274 T(L(K(x \ 1,x),y,z),L(x,y,z) \ x) = K(x \ (L(x,y,z) \ x),x). [para(1364(a,1),2273(a,1,2))]. 2275 L(T(K(x \ 1,x),L(x,y,z) \ x),y,z) = K(x \ (L(x,y,z) \ x),x). [hyper(228,a,40,a,b,2274,a(flip)),flip(a)]. 2276 L(T(K(x \ 1,x),L(x,y,z) \ x),y,z) = K(L(x,y,z) \ 1,x). [para(1370(a,1),2275(a,2,1))]. 2277 K(x \ y,x) * R((y \ ((x \ y) * x)) \ x,z,u) = y \ ((R(x,z,u) * (x \ y)) * x). [para(94(a,1),2048(a,1,1))]. 2278 K(x \ y,x) * R(K(x \ y,x) \ x,z,u) = y \ ((R(x,z,u) * (x \ y)) * x). [para(94(a,1),2277(a,1,2,1,1))]. 2279 K(x \ 1,x) * R(K(x \ 1,x) \ (y * x),z,u) = ((x \ 1) * R((x \ 1) \ y,z,u)) * x. [hyper(228,a,1656,a(flip),b,2263,a)]. 2280 K(x \ 1,x) * L(K(x \ 1,x) \ (y * x),z,u) = ((x \ 1) * L((x \ 1) \ y,z,u)) * x. [hyper(228,a,1621,a(flip),b,2264,a)]. 2281 K(x \ 1,x) * R(K(x \ 1,x) \ (y * x),z,u) = (x \ R(x * y,z,u)) * x. [para(1023(a,1),2279(a,2,1))]. 2282 K(x \ 1,x) * L(K(x \ 1,x) \ (y * x),z,u) = (x \ L(x * y,z,u)) * x. [para(994(a,1),2280(a,2,1))]. 2283 (x * K(x,y)) * R((x * K(x,y)) \ (x * y),z,u) = (R(y,z,u) * x) * K(x,y). [hyper(228,a,483,a(flip),b,789,a)]. 2284 x * (K(x,y) * R(K(x,y) \ y,z,u)) = (R(y,z,u) * x) * K(x,y). [hyper(1273,a,2283,a)]. 2285 x * (K(x,y) * R(K(x,y) \ y,y \ 1,y)) = (T(y,y \ 1) * x) * K(x,y). [para(1179(a,1),2284(a,2,1,1))]. 2286 (R(x,y,z) * R(R(x,y,z) \ (x * y),u,w)) * z = R(x,y,z) * (z * R(T(y,z),u,w)). [para(32(a,2),1697(a,1,2,2,1)),flip(a)]. 2287 (R(x,y,z) * R(R(x,y,z) \ (x * y),u,w)) * z = R(x,y,z) * (R(y,u,w) * z). [para(184(a,1),2286(a,2,2))]. 2288 R(x,y,z) / (((x \ u) / u) \ 1) = ((x \ u) / u) * R(x,y,z). [para(13(a,1),1215(a,1,2,1)),flip(a)]. 2289 K(T(x,x \ 1),T(x,x \ 1) \ 1) * (T(x,x \ 1) \ y) = L(x \ y,x,K(x,x \ 1)). [hyper(228,a,1816,a(flip),b,1966,a)]. 2290 K(x,x \ 1) * (T(x,x \ 1) \ y) = L(x \ y,x,K(x,x \ 1)). [para(1965(a,1),2289(a,1,1))]. 2291 L(x \ y,x,K(x,x \ 1)) = K(x,x \ 1) * (((x \ 1) \ 1) \ y). [para(114(a,1),2290(a,1,2,1)),flip(a)]. 2292 T(x,y) * (K(y \ (y / (1 / x)),y) \ (1 / x)) = T(x,y) * ((T(x,y) / x) \ (1 / x)). [hyper(228,a,1649,a(flip),b,2176,a(flip))]. 2293 T(x,y) * (T(1 / (1 / x),y) \ 1) = T(x,y) * ((T(x,y) / x) \ (1 / x)). [para(941(a,1),2292(a,1,2))]. 2294 T(x,y) * ((T(x,y) / x) \ (1 / x)) = T(1 / (1 / x),y) \ T(x,y). [hyper(228,a,2023,a(flip),b,2293,a(flip))]. 2295 K(R(x,y,z),((x \ 1) * R(x,y,z)) / R(x,y,z)) = (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)). [para(1680(a,1),1611(a,1,2,1))]. 2296 (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) = K(R(x,y,z),x \ 1). [para(15(a,1),2295(a,1,2)),flip(a)]. 2297 (x \ R(x,y,z)) / R(x,y,z) = (x \ 1) * K(R(x,y,z),x \ 1). [para(2296(a,1),14(a,1,2)),flip(a)]. 2299 (x \ 1) * K(R(x,y,z),x \ 1) != u | (x \ R(x,y,z)) / R(x,y,z) = u. [para(2296(a,1),213(a,1,2)),flip(b)]. 2300 (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) != u | K(R(x,y,z),x \ 1) = u. [para(2297(a,2),284(a,1,2)),flip(b)]. 2301 K((1 / x) \ ((1 / x) * T((1 / x) \ 1,y)),1 / x) = (((1 / x) * T(x,y)) / (1 / x)) \ T(x,y). [para(808(a,1),1125(a,1,1,2))]. 2302 (((1 / x) * T(x,y)) / (1 / x)) \ T(x,y) = K((1 / x) \ (T(x,y) / x),1 / x). [para(956(a,1),2301(a,1,1,2)),flip(a)]. 2303 (((1 / x) * T(x,y)) / (1 / x)) \ T(x,y) = K(T(x,y),1 / x). [para(960(a,1),2302(a,2,1))]. 2304 T(1 / (1 / x),y) \ T(x,y) = K(T(x,y),1 / x). [para(422(a,1),2303(a,1,1))]. 2305 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(1080(a,1),1770(a,2,2,1))]. 2306 T(x,y) * ((T(x,y) \ T(x,z)) / T(x,z)) = T(K(T(x,z),1 / x),y). [para(1616(a,1),2305(a,1,1)),flip(a)]. 2307 K(T(x,y),1 / T(x,z)) = T(K(T(x,y),1 / x),z). [hyper(228,a,1773,a(flip),b,2306,a(flip)),flip(a)]. 2308 K(T(x,y),T(x,y) \ 1) = T(K(T(x,y),1 / x),y). [hyper(1874,a,2307,a)]. 2309 T(x,y) * ((T(x,y) / x) \ (1 / x)) = K(T(x,y),T(x,y) \ 1). [hyper(228,a,2047,a,b,2308,a),flip(a)]. 2310 (T(x,y) / x) \ (1 / x) = 1 / T(x,y). [hyper(17,a,1841,a(flip),b,2309,a)]. 2311 T(1 / (1 / x),y) \ T(x,y) = K(T(x,y),T(x,y) \ 1). [hyper(228,a,2294,a(flip),b,2309,a(flip)),flip(a)]. 2312 (T(x,y) / x) * (1 / T(x,y)) = 1 / x. [para(2310(a,1),14(a,1,2))]. 2313 (T(T(x,x \ 1),y) / T(x,x \ 1)) \ (x \ 1) = 1 / T(T(x,x \ 1),y). [para(199(a,1),2310(a,1,2))]. 2314 K(T(x,y),T(x,y) \ 1) = K(T(x,y),1 / x). [hyper(228,a,2304,a(flip),b,2311,a(flip))]. 2315 (x \ T(x,y)) \ (x \ 1) = 1 / T(T(x,x \ 1),y). [para(1260(a,1),2313(a,1,1))]. 2316 1 / T(T(x,x \ 1),y) = T(x,y) \ 1. [hyper(291,a,2315,a),flip(a)]. 2318 T(T(x,x \ 1),y) = (T(x,y) \ 1) \ 1. [para(2316(a,1),64(a,1,1)),flip(a)]. 2319 1 / T(x \ 1,y) = T(1 / x,y) \ 1. [para(583(a,1),2316(a,1,2,1))]. 2320 T(1 / (1 / x),y) \ 1 = 1 / T(x,y). [para(268(a,1),2316(a,1,2,1)),flip(a)]. 2321 (T(x,y) \ 1) \ 1 = T((x \ 1) \ 1,y). [para(114(a,1),2318(a,1,1)),flip(a)]. 2322 (T(1 / x,y) \ 1) \ 1 = T(x \ 1,y). [para(583(a,1),2318(a,1,1)),flip(a)]. 2323 (T(1 / x,y) \ 1) / y = 1 / ((x \ 1) * y). [hyper(72,a,2319,a(flip),b,328,a)]. 2324 1 / (1 / T(x,y)) = T(1 / (1 / x),y). [para(2320(a,1),61(a,1,2))]. 2325 x * ((T(y,x) \ 1) \ 1) = ((y \ 1) \ 1) * x. [para(2321(a,2),113(a,1,2))]. 2326 T(((x / y) \ 1) \ 1,y) = ((y \ x) \ 1) \ 1. [para(115(a,1),2321(a,1,1,1)),flip(a)]. 2328 T(x,y) * K(T(x,y) \ 1,T(x,y)) = T(1 / (1 / x),y). [hyper(228,a,1809,a,b,2324,a(flip)),flip(a)]. 2329 T(1 / (1 / (x / y)),y) = 1 / (1 / (y \ x)). [para(115(a,1),2324(a,1,2,2)),flip(a)]. 2330 T(1 / (1 / ((x \ 1) \ y)),z) \ x = (1 / T(x * y,z)) * x. [para(2324(a,1),902(a,1,1))]. 2331 T(1 / x,y) \ (1 / y) = 1 / ((x \ 1) * y). [hyper(307,a,2323,a)]. 2332 T(x,T(x,y) \ 1) = (x \ 1) \ 1. [hyper(694,a,2325,a)]. 2333 (((x / y) \ 1) \ 1) * y = y * (((y \ x) \ 1) \ 1). [para(115(a,1),2325(a,1,2,1,1)),flip(a)]. 2334 ((R(x / y,y,z) \ 1) \ 1) * (y * z) = (y * z) * ((((y * z) \ (x * z)) \ 1) \ 1). [para(499(a,1),2325(a,1,2,1,1)),flip(a)]. 2335 T(x,T(x,y) \ 1) = x * K(x,x \ 1). [hyper(228,a,403,a,b,2332,a)]. 2336 T(x,T(x,y) \ 1) = T(x,x \ 1). [hyper(228,a,114,a,b,2332,a)]. 2337 (T(x,y) \ x) / ((x \ 1) \ 1) = T(x,y) \ 1. [para(2332(a,1),1066(a,1,2))]. 2338 T(K(x,x \ 1),y) = K(x,x \ 1). [hyper(1947,a,2335,a)]. 2339 T(x,K(y,y \ 1)) = x. [hyper(35,a,2338,a)]. 2340 T(x,y) \ K(x,x \ 1) = (T(x,y) \ x) / x. [hyper(71,a,2338,a(flip),b,1858,a)]. 2341 K(x,x \ 1) * y = y * K(x,x \ 1). [para(2338(a,1),113(a,1,2)),flip(a)]. 2343 x * K(y,y \ 1) != z | K(y,y \ 1) * x = z. [para(2338(a,1),219(a,1,2))]. 2346 K(x,x \ 1) * y != z * K(x,x \ 1) | z = y. [para(2339(a,1),174(a,1,2))]. 2347 K(x,x \ 1) * y != z | y * K(x,x \ 1) = z. [para(2339(a,1),219(a,1,2))]. 2348 T(x,K(y,1 / y)) = x. [para(1839(a,2),2339(a,1,2))]. 2349 T(x,K(y \ 1,y)) = x. [para(1845(a,1),2339(a,1,2))]. 2351 K(x,1 / x) * y = y * K(x,1 / x). [hyper(2175,a,2348,a),flip(a)]. 2353 K(x \ 1,x) * y = y * K(x \ 1,x). [hyper(2175,a,2349,a),flip(a)]. 2354 T(K(x \ 1,x),y) = K(x \ 1,x). [hyper(35,a,2349,a)]. 2355 (x * K(y \ 1,y)) / x = K(y \ 1,y). [para(2349(a,1),137(a,1,2))]. 2357 K(x \ 1,x) * y != z * K(x \ 1,x) | z = y. [para(2349(a,1),174(a,1,2))]. 2358 K(x \ 1,x) * y != z | y * K(x \ 1,x) = z. [para(2349(a,1),219(a,1,2))]. 2359 K(x \ (x / T(x,y)),x) = K(x \ 1,x). [hyper(228,a,2033,a,b,2354,a(flip)),flip(a)]. 2360 T((x \ 1) * x,y) = K(x \ 1,x). [para(189(a,1),2354(a,1,1))]. 2361 x * K(y \ 1,y) != z | K(y \ 1,y) * x = z. [para(2354(a,1),219(a,1,2))]. 2362 L(K(x \ 1,x),y,z) = K(L(x,y,z) \ 1,x). [para(2354(a,1),2276(a,1,1))]. 2363 ((x * y) * K(z,z \ 1)) / (K(z,z \ 1) * y) = R(x,y,K(z,z \ 1)). [para(2341(a,2),30(a,2,2)),flip(a)]. 2364 R(x,x \ y,K(z,z \ 1)) \ (K(z,z \ 1) * y) = (x \ y) * K(z,z \ 1). [para(2341(a,2),472(a,1,2))]. 2365 (K(x,x \ 1) * y) \ ((z * y) * K(x,x \ 1)) = R(T(z,y * K(x,x \ 1)),y,K(x,x \ 1)). [para(2341(a,2),595(a,1,1))]. 2366 (K(x,x \ 1) * y) \ ((z * y) * K(x,x \ 1)) != u | L(T(z,y),y,K(x,x \ 1)) = u. [para(2341(a,1),721(a,1,2))]. 2367 (x * K(y,y \ 1)) \ 1 = x \ K(y \ 1,y). [para(2341(a,1),1889(a,1,1))]. 2368 K(x \ 1,x) * (y / x) = y * T(y \ (y / x),x). [hyper(228,a,973,a(flip),b,2353,a)]. 2369 x * (K(y \ 1,y) * z) = x * (z * K(y \ 1,y)). [hyper(21,a,2353,a)]. 2370 L(1 / x,y,z) * K(x \ 1,x) = (x \ 1) * (x * L(x \ 1,y,z)). [hyper(228,a,1799,a(flip),b,2353,a(flip))]. 2371 (x * K(y \ 1,y)) * L(z,x,K(y \ 1,y)) = K(y \ 1,y) * (x * z). [para(2353(a,1),100(a,1,1))]. 2372 R(x,x \ y,K(z \ 1,z)) \ (K(z \ 1,z) * y) = (x \ y) * K(z \ 1,z). [para(2353(a,2),472(a,1,2))]. 2373 (x * K(y \ 1,y)) \ 1 = x \ K(y,y \ 1). [para(2353(a,1),434(a,1,1))]. 2374 (K(x \ 1,x) * y) \ ((z * y) * K(x \ 1,x)) = R(T(z,y * K(x \ 1,x)),y,K(x \ 1,x)). [para(2353(a,2),595(a,1,1))]. 2375 (K(x \ 1,x) * y) \ ((z * y) * K(x \ 1,x)) != u | L(T(z,y),y,K(x \ 1,x)) = u. [para(2353(a,1),721(a,1,2))]. 2376 ((x * y) / x) \ K(y \ 1,y) = T(((x * y) / x) \ 1,y). [para(2355(a,1),1483(a,1,2))]. 2378 K(x \ 1,x) / T(x,y) = T(1 / T(x,y),x). [para(2359(a,1),940(a,1,1))]. 2379 T(x,((y * x) / y) \ 1) = ((y \ (y * x)) \ 1) \ 1. [hyper(228,a,418,a(flip),b,2326,a(flip)),flip(a)]. 2380 (x * (((x \ y) \ 1) \ 1)) / x = ((y / x) \ 1) \ 1. [para(2326(a,1),166(a,1,1,2))]. 2381 (x * (1 / (1 / (x \ y)))) / x = 1 / (1 / (y / x)). [para(2329(a,1),166(a,1,1,2))]. 2382 T(1 / x,y) \ (1 / y) = (1 / (1 / y)) \ x. [hyper(228,a,323,a(flip),b,2331,a)]. 2383 (T(x,y) \ 1) * ((x \ 1) \ 1) = T(x,y) \ x. [para(2337(a,1),16(a,1,1))]. 2384 (T(x,y) \ 1) * ((x \ 1) \ 1) != z | T(x,y) \ x = z. [para(2337(a,1),215(a,1,1)),flip(b)]. 2387 (x * y) * K(L(z,y,x) \ 1,z) = x * (y * K(z \ 1,z)). [para(2362(a,1),100(a,1,2))]. 2389 (x \ T(x,y)) \ 1 = T(x,y) \ x. [hyper(629,a,2383,a)]. 2390 (x \ 1) \ (T(x,y) \ 1) = T(x,y) \ x. [hyper(926,a,2389,a)]. 2391 (R(x,y,z) \ R(T(x,u),y,z)) \ 1 = T(R(x,y,z),u) \ R(x,y,z). [para(42(a,2),2389(a,1,1,2))]. 2392 T(x / y,y) \ (x / y) = ((x / y) \ (y \ x)) \ 1. [para(115(a,1),2389(a,1,1,2)),flip(a)]. 2393 T(x,R(y,x,(y * x) \ x)) \ x = (x \ (x * K(x,y))) \ 1. [para(1614(a,1),2389(a,1,1,2)),flip(a)]. 2394 (x \ 1) * (T(x,y) \ x) = T(x,y) \ 1. [para(2390(a,1),14(a,1,2))]. 2397 T(x,y / (y * x)) = ((y \ (y * x)) \ 1) \ 1. [hyper(1922,a,2333,a)]. 2398 T(x,y / (y * x)) = (x \ 1) \ 1. [para(13(a,1),2397(a,2,1,1))]. 2399 T(x \ y,x / y) = ((x \ y) \ 1) \ 1. [para(14(a,1),2398(a,1,2,2))]. 2400 T((x * y) \ y,x) = (((x * y) \ y) \ 1) \ 1. [para(15(a,1),2399(a,1,2))]. 2401 T(x \ (y \ x),y) = ((x \ (y \ x)) \ 1) \ 1. [para(61(a,1),2399(a,1,2))]. 2402 x * T(x \ (x / y),y) != z | (x / y) * K(y \ 1,y) = z. [para(2368(a,1),2358(a,1))]. 2403 T(x,((y * x) / y) \ 1) = (x \ 1) \ 1. [para(13(a,1),2379(a,2,1,1))]. 2404 (((x / y) \ 1) \ 1) * y != z | y * (((y \ x) \ 1) \ 1) = z. [para(2380(a,1),215(a,1,1)),flip(b)]. 2405 (x * (1 / (1 / y))) / x = 1 / (1 / ((x * y) / x)). [para(13(a,1),2381(a,1,1,2,2,2))]. 2406 ((x / y) \ (y \ x)) \ 1 = (y \ x) \ (x / y). [para(115(a,1),2392(a,1,1)),flip(a)]. 2407 (x \ (x * y)) \ ((x * y) / x) = (((x * y) / x) \ y) \ 1. [para(13(a,1),2406(a,1,1,2)),flip(a)]. 2409 T(((x * y) / x) * (((x * y) / x) \ K(y \ 1,y)),((x * y) / x) \ y) = K(y \ (((x * y) / x) \ y),y). [para(2376(a,2),2032(a,1,1,2))]. 2411 (((x * y) / x) \ y) \ 1 = y \ ((x * y) / x). [para(13(a,1),2407(a,1,1)),flip(a)]. 2412 1 / (x \ ((y * x) / y)) = ((y * x) / y) \ x. [para(2411(a,1),61(a,1,2))]. 2414 (x * y) * z != x * (y * K(u \ 1,u)) | K(L(u,y,x) \ 1,u) = z. [para(2387(a,1),19(a,1)),flip(a)]. 2415 T(x,R(y,x,(y * x) \ x)) \ x = K(x,y) \ 1. [para(13(a,1),2393(a,2,1))]. 2417 T(1 / ((1 / x) * (y \ 1)),z) \ y = (1 / T(y * x,z)) * y. [para(326(a,1),2330(a,1,1,1,2))]. 2418 T(x / (1 / y),z) \ x = (1 / T(x * y,z)) * x. [para(259(a,1),2417(a,1,1,1))]. 2419 ((x \ 1) * (x * L(x \ 1,x,y))) * x = (x * ((y * x) \ y)) * K(x \ 1,x). [para(2370(a,1),1493(a,1,1))]. 2420 (R(x,y,z) \ R(T(x,u),y,z)) \ 1 = R(T(x,u),y,z) \ R(x,y,z). [para(42(a,2),2391(a,2,1))]. 2421 (K(x,x \ 1) * (y * z)) / (K(x,x \ 1) * z) = R(y,z,K(x,x \ 1)). [para(2341(a,2),2363(a,1,1))]. 2422 ((x \ 1) * x) * (x * L(x \ 1,x,y)) = (x * ((y * x) \ y)) * K(x \ 1,x). [hyper(228,a,1774,a(flip),b,2419,a(flip)),flip(a)]. 2424 K(x \ 1,x) * (x * L(x \ 1,x,y)) = (x * ((y * x) \ y)) * K(x \ 1,x). [para(189(a,2),2422(a,1,1))]. 2425 (x * ((y * x) \ y)) * K(x \ 1,x) = L(x \ 1,x,y) / (1 / x). [hyper(228,a,2194,a(flip),b,2424,a(flip))]. 2426 (x * ((y * x) \ y)) * K(x \ 1,x) = L(x \ 1,x,y) * x. [hyper(228,a,1896,a(flip),b,2425,a)]. 2427 (x \ 1) * (x * L(x \ 1,x,y)) = L(x \ 1,x,y). [hyper(18,a,2419,a,b,2426,a(flip)),flip(a)]. 2428 (x * y) \ x = (y \ 1) * (y * L(y \ 1,y,x)). [hyper(228,a,161,a(flip),b,2427,a),flip(a)]. 2429 (x \ 1) * (x * ((y * x) \ y)) = (y * x) \ y. [para(161(a,1),2428(a,2,2,2)),flip(a)]. 2430 (x \ 1) * (x * ((y * x) \ y)) = ((y * x) \ y) * 1. [hyper(228,a,12,a,b,2429,a)]. 2431 K(x \ 1,x * ((y * x) \ y)) = 1. [hyper(1006,a,2430,a(flip))]. 2432 T(x,(y * x) \ y) = (x \ 1) \ 1. [hyper(71,a,2431,a(flip),b,2156,a(flip)),flip(a)]. 2433 T(1 / (1 / x),(y * x) \ y) / 1 = x. [para(2431(a,1),2157(a,1,2))]. 2434 T(x,(y * x) \ y) = T(x,x \ 1). [hyper(228,a,114,a,b,2432,a)]. 2435 K(x,(y * x) \ y) = ((x \ 1) \ 1) / x. [hyper(72,a,2432,a(flip),b,2101,a),flip(a)]. 2436 T(x \ y,y \ x) = ((x \ y) \ 1) \ 1. [para(14(a,1),2432(a,1,2,1))]. 2437 T(K(x,y),(x * y) \ (y * x)) = T(K(x,y),K(x,y) \ 1). [para(93(a,1),2434(a,1,2,1))]. 2438 T(1 / (1 / x),(y * x) \ y) = x. [hyper(152,a,2433,a)]. 2440 T(1 / (1 / (x \ y)),y \ x) = x \ y. [para(14(a,1),2438(a,1,2,1))]. 2441 K(x,(y * x) \ y) = K(x,x \ 1). [hyper(228,a,1808,a(flip),b,2435,a)]. 2443 K(x \ y,(x \ y) \ 1) = K(x \ y,y \ x). [para(14(a,1),2441(a,1,2,1)),flip(a)]. 2444 K(x,y \ (y / x)) = K(x,x \ 1). [para(16(a,1),2441(a,1,2,1))]. 2445 K(x \ y,T(y,x) \ ((y * x) / y)) = K(x \ y,(x \ y) \ 1). [para(1084(a,2),2441(a,1,2,1))]. 2446 K(x,(y * x) \ y) \ 1 = K(x \ 1,x). [para(2441(a,2),1886(a,1,1))]. 2447 T(K(x,(y * x) \ y),z) = K(x,x \ 1). [para(2441(a,2),2338(a,1,1))]. 2448 K((x / y) \ x,z \ (z / y)) = K(y,y \ 1). [hyper(228,a,645,a,b,2444,a(flip)),flip(a)]. 2449 T(x \ (x / y),y) = ((x \ (x / y)) \ 1) \ 1. [para(64(a,1),2436(a,1,2))]. 2450 T(K(x \ (x / (y \ 1)),x),T(y,x) \ y) = ((y \ T(y,x)) \ 1) \ 1. [para(939(a,2),2436(a,1,1))]. 2451 x * K((x \ y) \ 1,x \ y) = y * (((y \ x) \ 1) \ 1). [para(2436(a,1),1380(a,1,2)),flip(a)]. 2452 K(x \ (x / T(y \ x,x \ y)),x) = T(K(x \ y,x),(y \ x) \ 1). [para(2436(a,2),2037(a,2,1,2,2)),flip(a)]. 2453 (x * T(x \ y,y \ x)) / x = ((y / x) \ 1) \ 1. [para(2436(a,2),2380(a,1,1,2))]. 2454 T(1 / (1 / K(x \ (x / (y \ 1)),x)),T(y,x) \ y) = y \ T(y,x). [para(939(a,2),2440(a,1,1,2,2))]. 2455 L(K(x,x \ 1),x,y) = K(((y * x) \ y) \ 1,(y * x) \ y). [para(2447(a,1),2254(a,1,1))]. 2456 (x \ y) * (1 / (x \ y)) = K(x \ y,y \ x). [hyper(1846,a,2443,a)]. 2457 K((x * y) \ x,((x * y) \ x) \ 1) = K((x * y) \ x,y). [para(13(a,1),2443(a,2,2))]. 2458 T(x,K(y \ z,z \ y)) = x. [para(2443(a,1),2339(a,1,2))]. 2459 K(x \ y,y \ x) * z = z * K(x \ y,y \ x). [hyper(2175,a,2458,a),flip(a)]. 2460 K(x \ y,y \ x) * z != u | z * K(x \ y,y \ x) = u. [para(2458(a,1),219(a,1,2))]. 2461 T(x / y,x \ y) = ((x / y) \ 1) \ 1. [hyper(414,a,2453,a)]. 2462 T(x / (x * y),y) = ((x / (x * y)) \ 1) \ 1. [para(13(a,1),2461(a,1,2))]. 2463 T(K(x,y),K(x,y) \ 1) = T(K(x,y),K(y,x)). [para(26(a,2),2437(a,1,2)),flip(a)]. 2464 T(K(x,y),K(y,x)) = (K(x,y) \ 1) \ 1. [hyper(648,a,2463,a),flip(a)]. 2465 (K(x,y) \ 1) \ 1 = K(x,y). [hyper(228,a,1756,a(flip),b,2464,a(flip))]. 2468 1 / (1 / K(x,y)) = K(x,y). [para(2465(a,1),138(a,1,2,2))]. 2469 K((x * y) \ x,((x * y) \ x) \ 1) = L(K(y,y \ 1),y,x) \ 1. [para(2455(a,2),404(a,1,1)),flip(a)]. 2470 T(x,L(K(y,y \ 1),y,z)) = x. [para(2455(a,2),2349(a,1,2))]. 2472 K(x \ y,T(x / y,T(y,x))) = K(x \ y,(x \ y) \ 1). [para(1337(a,1),2445(a,1,2))]. 2473 K(x \ y,T(x / y,T(y,x))) = K(x \ y,y \ x). [hyper(228,a,2443,a(flip),b,2472,a)]. 2474 K((x * y) \ x,y) = L(K(y,y \ 1),y,x) \ 1. [hyper(228,a,2457,a(flip),b,2469,a(flip)),flip(a)]. 2475 T(K(x \ y,x),(y \ x) \ 1) = T(K(x \ y,x),x \ y). [hyper(228,a,2036,a(flip),b,2452,a(flip))]. 2476 T(K(x \ (x * y),x),x \ (x * y)) = T(K(y,x),((x * y) \ x) \ 1). [para(13(a,1),2475(a,1,1,1)),flip(a)]. 2477 T(K(x \ (x / (y \ 1)),x),T(y,x) \ y) = y \ T(y,x). [para(2468(a,1),2454(a,1,1))]. 2478 ((x \ T(x,y)) \ 1) \ 1 = x \ T(x,y). [hyper(228,a,2450,a(flip),b,2477,a(flip)),flip(a)]. 2479 1 / (x \ T(x,y)) = (x \ T(x,y)) \ 1. [para(2478(a,1),61(a,1,2))]. 2480 1 / (x \ T(x,y)) = T(x,y) \ x. [hyper(228,a,2389,a(flip),b,2479,a)]. 2481 (1 / T(x,y)) * x = T(x,y) \ x. [hyper(228,a,326,a(flip),b,2480,a(flip)),flip(a)]. 2482 (T(x,y) \ x) / x = 1 / T(x,y). [hyper(72,a,2480,a(flip),b,326,a(flip))]. 2483 x * ((T(x,y) \ x) \ 1) = T(x,y). [para(2480(a,1),140(a,1,2,1))]. 2484 x / T(x,y) = T(x,y) \ x. [hyper(1329,a,2481,a)]. 2485 T(1 / T(x,y),x) = T(x,y) \ 1. [hyper(171,a,2481,a,b,1059,a)]. 2488 K(x \ (x / ((y \ x) / T(x,y))),x) = T(x,y) \ x. [hyper(228,a,1732,a,b,2484,a(flip)),flip(a)]. 2489 (T(x,y) \ x) * T(x,y) = x. [para(2484(a,1),16(a,1,1))]. 2490 (T(x,y) \ x) \ x = T(x,y). [para(2484(a,1),64(a,1,1))]. 2491 (T(x,y) \ x) * x = x * (T(x,y) \ x). [para(2484(a,1),2000(a,1,1))]. 2492 L(x,T(x,y) \ x,x) = x. [hyper(228,a,2155,a,b,2489,a(flip)),flip(a)]. 2494 (x * y) * T(K(y,x),x) = y * x. [para(2492(a,1),2154(a,1,2)),flip(a)]. 2495 T(x,y) \ K(x,x \ 1) = 1 / T(x,y). [hyper(228,a,2340,a,b,2482,a(flip)),flip(a)]. 2496 ((T(x,y) \ x) / x) \ 1 = T(x,y). [para(2482(a,2),64(a,1,1))]. 2497 K(x \ 1,x) / T(x,y) = T(x,y) \ 1. [hyper(228,a,2378,a,b,2485,a(flip)),flip(a)]. 2498 T(K(x,y),y) = K(x,y). [hyper(241,a,2494,a),flip(a)]. 2499 T(x,K(y,x)) = x. [hyper(35,a,2498,a)]. 2500 T(L(K(x,y),z,u),y) = L(K(x,y),z,u). [para(2498(a,1),40(a,1,1)),flip(a)]. 2501 K(x,y) * y = y * K(x,y). [para(2498(a,1),113(a,1,2)),flip(a)]. 2502 (x * K(y,x)) / x = K(y,x). [para(2498(a,1),166(a,1,1,2))]. 2503 K(x,K(y,x)) = 1. [hyper(36,a,2499,a)]. 2504 T(x,y) * K(z,x) = K(z,x) * T(x,y). [para(2499(a,1),182(a,1,2,1)),flip(a)]. 2505 (x * K(y,x)) \ 1 = x \ (K(y,x) \ 1). [para(2499(a,1),250(a,1,1)),flip(a)]. 2506 L(x,y,z) * K(u,x) = K(u,x) * L(x,y,z). [para(2499(a,1),183(a,1,2,1)),flip(a)]. 2507 R(x,y,z) * K(u,x) = K(u,x) * R(x,y,z). [para(2499(a,1),184(a,1,2,1)),flip(a)]. 2508 K(x,y) * T(y,z) != u | T(y,z) * K(x,y) = u. [para(2499(a,1),377(a,1,2,1))]. 2509 T(T(x,y),z) * K(u,x) = K(u,x) * T(T(x,y),z). [para(2499(a,1),408(a,1,2,1,1)),flip(a)]. 2510 T(x,y * T(y \ 1,x)) = x. [para(936(a,1),2499(a,1,2))]. 2511 T(x,y \ T(y,x)) = x. [para(939(a,1),2499(a,1,2))]. 2512 K(x,y) * T(T(y,z),u) != w | T(T(y,z),u) * K(x,y) = w. [para(2499(a,1),582(a,1,2,1,1))]. 2513 T(x,x \ ((y * x) / y)) = x. [para(1391(a,1),2499(a,1,2))]. 2514 x * ((K(x,y) \ y) * K(x,y)) = (y * x) * K(x,y). [para(2499(a,1),2242(a,1,1,1)),flip(a)]. 2515 (x \ T(x,y)) * y = y * (x \ T(x,y)). [para(2511(a,1),113(a,1,2))]. 2516 R(x,K(y,z),z) * (z * K(y,z)) = (x * K(y,z)) * z. [para(2501(a,1),109(a,1,2))]. 2517 (x * K(y,z)) * z != u * (z * K(y,z)) | R(x,K(y,z),z) = u. [para(2501(a,1),476(a,2,2))]. 2518 ((x * K(y,z)) * z) / (z * K(y,z)) != u | R(x,K(y,z),z) = u. [para(2501(a,1),489(a,1,2))]. 2519 L(K(x,y),y,1 / y) = K(x,y). [hyper(228,a,2192,a,b,2502,a(flip)),flip(a)]. 2520 L((T(x,y) * (x \ y)) / y,y,x) = K(T(x,y),y). [hyper(228,a,1266,a,b,2502,a(flip)),flip(a)]. 2521 R(K(x,y),y,(y * K(x,y)) \ z) \ z = y * ((y * K(x,y)) \ z). [para(2502(a,1),471(a,1,1,1))]. 2522 T(x * T(x \ 1,y),y) = x * T(x \ 1,y). [hyper(35,a,2510,a)]. 2523 ((x * y) / x) / y = y \ ((x * y) / x). [para(2513(a,1),199(a,1,2))]. 2524 (1 / x) * (x * K(y,x)) = K(y,x). [hyper(350,a,2519,a)]. 2525 (1 / x) \ K(y,x) = x * K(y,x). [hyper(71,a,2519,a(flip),b,193,a)]. 2527 (x \ 1) * K(y,x \ 1) = x \ K(y,x \ 1). [hyper(71,a,2524,a(flip),b,133,a(flip)),flip(a)]. 2529 x * (T(x,y) \ (1 / x)) = 1 / T(x,y). [hyper(228,a,1849,a(flip),b,2495,a(flip)),flip(a)]. 2530 (T(x,y) \ 1) * T(x,y) = K(x \ 1,x). [para(2497(a,1),16(a,1,1))]. 2531 T(x,L(K(y,x),z,u)) = x. [hyper(35,a,2500,a)]. 2532 K(K(x,y),T(y,z)) = 1. [hyper(70,a,2504,a,b,93,a),flip(a)]. 2533 K(x \ T(x,y),T(y,z)) = 1. [para(939(a,1),2532(a,1,1))]. 2534 T(x \ T(x,y),T(y,z)) = x \ T(x,y). [hyper(37,a,2533,a)]. 2535 x * (((y * x) / y) / x) = (y * x) / y. [para(2523(a,2),14(a,1,2))]. 2536 R(x,y,z) \ (((u / x) * R(x,y,z)) / (u / x)) = R(u / (u / x),y,z) / R(x,y,z). [para(803(a,1),2523(a,1,1)),flip(a)]. 2537 K(T(x,y) \ 1,T(x,y)) = K(x \ 1,x). [hyper(315,a,2530,a)]. 2539 (1 / T(x,y)) * K(x \ 1,x) = T(x,y) \ 1. [para(2530(a,1),722(a,1,2))]. 2541 (x \ 1) * (x * ((y * (x \ 1)) / y)) = (y * (x \ 1)) / y. [para(1424(a,1),2535(a,1,2))]. 2543 T(x,y) * K(x \ 1,x) = T(1 / (1 / x),y). [para(2537(a,1),2328(a,1,2))]. 2546 x * ((y \ (x \ y)) * y) = y * (x * T(x \ 1,y)). [para(2522(a,1),1314(a,1,2)),flip(a)]. 2547 (x \ R(x,y,z)) / R(x,y,z) = x \ K(R(x,y,z),x \ 1). [hyper(2299,a,2527,a)]. 2548 x * ((1 / T(x,y)) * K(x \ 1,x)) = T(x,y) \ x. [para(2539(a,2),1059(a,1,2))]. 2549 x * (T(x,y) / x) = T(x,y). [hyper(18,a,2089,a,b,2543,a),flip(a)]. 2551 T(x,y) / x = x \ T(x,y). [hyper(77,a,2549,a),flip(a)]. 2552 K(x,T(x,y) / x) = 1. [hyper(70,a,2549,a(flip),b,240,a),flip(a)]. 2553 (x \ T(x,y)) * x = T(x,y). [para(2549(a,1),65(a,1,1,2))]. 2555 T(1 / x,T(x,y)) = x \ 1. [hyper(71,a,2552,a(flip),b,1116,a),flip(a)]. 2556 x \ T(x,R(y,y \ 1,x)) = y \ ((x * y) / x). [hyper(1564,a,2551,a),flip(a)]. 2557 (1 / x) * T((1 / x) \ 1,y) = x \ T(x,y). [hyper(1218,a,2551,a)]. 2558 (x \ 1) \ T(x \ 1,y) = x * T(x \ 1,y). [hyper(963,a,2551,a),flip(a)]. 2559 (1 / x) * T(x,y) = x \ T(x,y). [hyper(228,a,957,a,b,2551,a(flip)),flip(a)]. 2560 (x \ T(x,y)) * x != z | T(x,y) = z. [para(2551(a,1),215(a,1,1)),flip(b)]. 2561 R(x \ T(x,y),x,z) = (T(x,y) * z) / (x * z). [para(2551(a,1),110(a,1,1))]. 2562 R((x / y) \ T(x / y,z),x / y,y) = (T(x / y,z) * y) / x. [para(2551(a,1),497(a,1,1))]. 2564 (x * (y \ T(y,x))) \ (x * z) = x * ((x * (T(y,x) / y)) \ z). [para(2551(a,1),2198(a,1,1,2))]. 2565 (x \ T(x,y)) * (1 / T(x,y)) = 1 / x. [para(2551(a,1),2312(a,1,1))]. 2566 K(x,x \ T(x,y)) = 1. [para(2551(a,1),2552(a,1,2))]. 2567 T(x,x \ T(x,y)) = x. [hyper(37,a,2566,a)]. 2568 T(x,K(y \ (y / (x \ 1)),y)) = x. [para(939(a,2),2567(a,1,2))]. 2569 T(x,R(1 / y,y,x)) = T(x,x / (x * y)). [hyper(228,a,1569,a,b,2553,a(flip)),flip(a)]. 2570 T(x,y) \ ((x \ T(x,y)) * (x * z)) = L(z,x,x \ T(x,y)). [para(2553(a,1),28(a,2,1)),flip(a)]. 2571 (x \ ((x \ y) \ y)) * x = T(x,x \ y). [para(114(a,1),2553(a,1,1,2))]. 2572 T(x,y) * L(z,x,x \ T(x,y)) = (x \ T(x,y)) * (x * z). [para(2553(a,1),100(a,1,1))]. 2573 (T(x,y) * z) / (x * z) != u | R(x \ T(x,y),x,z) = u. [para(2553(a,1),489(a,1,1,1))]. 2574 L(x,x \ T(x,y),x) = T(x,y) / (x \ T(x,y)). [para(2553(a,1),889(a,1,1)),flip(a)]. 2575 T(1 / (1 / x),T(1 / x,y)) = x. [hyper(228,a,64,a(flip),b,2555,a)]. 2576 T(x,y) * (x \ 1) = (1 / x) * T(x,y). [para(2555(a,1),113(a,1,2))]. 2577 T(x \ 1,T(x,y)) = T(x \ 1,x). [para(2555(a,1),185(a,1,1)),flip(a)]. 2578 T(x / (y * x),T(y,z)) = R(y \ 1,y,x). [para(2555(a,1),363(a,2,1))]. 2579 x * T(x \ 1,T(x,y)) = K(x \ 1,T(x,y)). [para(2555(a,1),968(a,1,1)),flip(a)]. 2580 (((x * y) / x) \ y) \ y = (x * y) / x. [hyper(1124,a,2568,a)]. 2581 T(x,T(1 / x,y)) = T(x,x \ 1). [para(2575(a,1),1803(a,1,1)),flip(a)]. 2583 K(T(x,y) \ (T(x,y) / T(x,z)),T(x,y)) = T(x * T(x \ 1,x),z). [para(2577(a,1),2030(a,1,1,2)),flip(a)]. 2584 T(x,x \ 1) * T(x \ 1,y) = x * T(1 / x,y). [para(2581(a,1),1592(a,1,1))]. 2586 (((x * y) / x) \ y) * ((x * y) / x) = y. [para(2580(a,1),14(a,1,2))]. 2587 (((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1)) \ (x \ 1) = (R(x,y,z) * (x \ 1)) / R(x,y,z). [para(1147(a,1),2580(a,1,1,1,1))]. 2588 T(x,x / (y * x)) = T(x,x / (x * y)). [para(162(a,1),2569(a,1,2))]. 2590 K(x,y) = (L(x \ 1,x,y) \ 1) \ T(L(x \ 1,x,y) \ 1,y). [hyper(228,a,1039,a,b,2558,a),flip(a)]. 2591 L(x * T(x \ 1,y),x \ 1,y) != z | K(x \ 1,y) = z. [para(2558(a,1),703(a,1,1))]. 2593 K(x \ 1,T(x,y)) = x * T(x \ 1,x). [para(2577(a,1),2579(a,1,2)),flip(a)]. 2594 K(x \ 1,T(x,y)) = K(x \ 1,x). [hyper(228,a,269,a(flip),b,2593,a)]. 2597 R(x \ T(x,y),K(x \ 1,x),z) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,T(x,y)) * z. [para(2594(a,1),992(a,1,1,2))]. 2598 T(x,R(y,y \ 1,x)) \ x = 1 / (y \ ((x * y) / x)). [para(2556(a,1),2480(a,1,2)),flip(a)]. 2599 T(x,y \ ((x * y) / x)) = x. [para(2556(a,1),2567(a,1,2))]. 2600 T(x,T(y,x) \ y) = x. [para(166(a,1),2599(a,1,2,2))]. 2601 (T(x,y) \ x) * y = y * (T(x,y) \ x). [para(2600(a,1),113(a,1,2))]. 2603 T(x,K(y,x) \ 1) = x. [para(1157(a,1),2600(a,1,2))]. 2604 (K(x,y) \ y) / (K(x,y) \ 1) = (K(x,y) \ 1) \ (K(x,y) \ y). [para(2603(a,1),952(a,1,1,2))]. 2605 T(x,R(T(y,x),T(y,x) \ 1,x)) = x * (T(y,x) \ y). [hyper(228,a,1563,a,b,2601,a(flip)),flip(a)]. 2606 (x * ((x * (T(y,x) \ y)) \ x)) \ (x * x) = (T(y,x) \ y) * x. [para(2601(a,1),2006(a,1,1,2,1))]. 2607 L(x,x \ T(x,y),x) = x. [hyper(228,a,61,a(flip),b,2574,a)]. 2609 (K(x,y) \ y) * K(x,y) = y. [hyper(17,a,93,a(flip),b,2514,a)]. 2610 x / K(y,x) = K(y,x) \ x. [hyper(85,a,2609,a)]. 2612 (x * (1 / T(x,y))) * K(x \ 1,x) = T(x,y) \ x. [hyper(2237,a,2548,a)]. 2613 ((x \ 1) \ 1) * T(x \ 1,y) = x * T(1 / x,y). [hyper(228,a,245,a(flip),b,2584,a(flip)),flip(a)]. 2615 (x * T(1 / x,y)) \ (((x \ 1) \ 1) * (T(x \ 1,y) * z)) = L(z,T(x \ 1,y),(x \ 1) \ 1). [para(2584(a,1),615(a,1,1))]. 2618 T(x,R(y,y \ 1,x)) \ x = ((x * y) / x) \ y. [hyper(228,a,2412,a(flip),b,2598,a)]. 2619 T(x,R(y,y \ 1,x)) \ 1 = x \ (((x * y) / x) \ y). [hyper(71,a,2618,a(flip),b,1059,a),flip(a)]. 2620 T(x,R(T(y,x),T(y,x) \ 1,x)) \ x = y \ T(y,x). [para(166(a,1),2618(a,2,1))]. 2621 T(x,x \ (((x * y) / x) \ y)) = T(x,x \ 1). [para(2619(a,1),2336(a,1,2))]. 2622 T(x,x \ (y \ T(y,x))) = T(x,x \ 1). [para(166(a,1),2621(a,1,2,2,1))]. 2623 (x * (T(y,x) \ y)) \ x = y \ T(y,x). [para(2605(a,1),2620(a,1,1))]. 2624 x / (y \ T(y,x)) = x * (T(y,x) \ y). [para(2623(a,1),61(a,1,2))]. 2625 x / ((((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x))) = x * (T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)). [para(935(a,1),2624(a,1,2,2))]. 2627 x * ((x \ R(x,y,z)) / R(x,y,z)) = K(R(x,y,z),x \ 1). [para(2547(a,2),14(a,1,2))]. 2628 L(x * y,x \ T(x,z),x) = x * L(y,x,x \ T(x,z)). [para(2570(a,1),1071(a,1,2)),flip(a)]. 2629 x * L(x \ y,x,x \ T(x,z)) = L(y,x \ T(x,z),x). [para(14(a,1),2628(a,1,1)),flip(a)]. 2630 T(x * L(x \ ((y * z) / y),x,x \ T(x,y)),y) = (x \ T(x,y)) * (x * (T(x,y) \ z)). [hyper(228,a,2038,a,b,2572,a(flip)),flip(a)]. 2631 T(R(x,y,z),R(x,y,z) / (R(x,y,z) * x)) = K(R(x,y,z),x \ 1) / (R(x,y,z) \ 1). [para(2627(a,1),1557(a,1,1)),flip(a)]. 2632 (x * (y \ T(y,x))) \ (x * z) = x * ((x * (y \ T(y,x))) \ z). [para(2551(a,1),2564(a,2,2,1,2))]. 2633 T(x,x \ K(y,x)) = T(x,x \ 1). [para(2590(a,2),2622(a,1,2,2))]. 2634 K(x,y) / T(y,y \ 1) = y \ K(x,y). [para(2633(a,1),199(a,1,2))]. 2635 (x * ((x * (T(y,x) \ y)) \ x)) \ (x * x) = x * (T(y,x) \ y). [hyper(228,a,2601,a(flip),b,2606,a)]. 2637 (x * (y \ T(y,x))) \ (x * x) = x * (T(y,x) \ y). [para(2623(a,1),2635(a,1,1,2))]. 2638 (x * (y \ T(y,x))) \ x = T(y,x) \ y. [hyper(17,a,2632,a(flip),b,2637,a(flip)),flip(a)]. 2639 T((x * K(y,x)) * (R(K(y,x),x,(x * K(y,x)) \ 1) \ 1),z) = (x * K(y,x)) * (T(x,z) * ((x * K(y,x)) \ 1)). [para(2521(a,2),947(a,1,1,2))]. 2640 R((x / y) \ T(x / y,z),x / y,y) = (y * T(y \ x,z)) / x. [para(409(a,1),2562(a,2,1))]. 2641 T(K(x,y),((y * x) \ y) \ 1) = T(K(x,y),y \ (y * x)). [para(13(a,1),2476(a,1,1,1)),flip(a)]. 2642 T(K(x,y),((y * x) \ y) \ 1) = T(K(x,y),x). [para(13(a,1),2641(a,2,2))]. 2644 T(K(x,y),x) != z | (((y * x) \ y) \ 1) \ (((y * x) \ y) \ K(x,y)) = z. [para(2642(a,1),2262(a,1))]. 2645 K(T(1 / T(x,y),T(x,z)),T(x,z)) = T(x * T(x \ 1,x),y). [para(1349(a,1),2583(a,1,1))]. 2646 K(T(1 / T(x,y),T(x,z)),T(x,z)) = T((x \ 1) * x,y). [para(113(a,1),2645(a,2,1))]. 2647 K(T(1 / T(x,y),T(x,z)),T(x,z)) = K(x \ 1,x). [hyper(228,a,2360,a(flip),b,2646,a)]. 2649 T(1 / T(x,y),T(x,z)) = K(x \ 1,x) / T(x,y). [para(2647(a,1),1356(a,1,1)),flip(a)]. 2650 T(1 / T(x,y),T(x,z)) = T(x,y) \ 1. [hyper(228,a,2497,a(flip),b,2649,a)]. 2652 K(T(x,y) \ 1,T(x,z)) = K(x \ 1,x). [para(2650(a,1),2647(a,1,1))]. 2657 R(x / (x / y),z,u) / R(y,z,u) = R(y,z,u) \ R(x / (x / y),z,u). [para(803(a,1),2536(a,1,2)),flip(a)]. 2658 R(x,y,z) \ R(1 / (1 / x),y,z) = x * T(x \ 1,R(x,y,z)). [hyper(228,a,1893,a(flip),b,2657,a(flip))]. 2660 T(L((x * y) / x,z \ T(z,x),z),x) = (z \ T(z,x)) * (z * (T(z,x) \ y)). [para(2629(a,1),2630(a,1,1))]. 2661 L(x \ (x * y),z \ T(z,x),z) = (z \ T(z,x)) * (z * (T(z,x) \ y)). [hyper(228,a,186,a(flip),b,2660,a(flip)),flip(a)]. 2662 (x \ T(x,y)) * (x * (T(x,y) \ z)) = L(z,x \ T(x,y),x). [para(13(a,1),2661(a,1,1)),flip(a)]. 2663 (x \ T(x,y)) \ x = x * (T(x,y) \ x). [hyper(71,a,2607,a(flip),b,2662,a)]. 2664 L(1 / x,x \ T(x,y),x) = (x \ T(x,y)) * (1 / T(x,y)). [para(2529(a,1),2662(a,1,2)),flip(a)]. 2665 x * (T(x,R(y,x,(y * x) \ x)) \ x) = (x \ (x * K(x,y))) \ x. [para(1614(a,1),2663(a,1,1,2)),flip(a)]. 2666 x * (T(x,R(y,y \ 1,x)) \ x) = (y \ ((x * y) / x)) \ x. [para(2556(a,1),2663(a,1,1)),flip(a)]. 2667 L(1 / x,x \ T(x,y),x) = 1 / x. [hyper(228,a,2565,a(flip),b,2664,a)]. 2669 x * ((x \ T(x,y)) * T(1 / x,x * (x \ T(x,y)))) = (1 / x) * (x * (x \ T(x,y))). [para(2667(a,1),584(a,2,1))]. 2670 (x \ ((y * x) / y)) \ y = y * (((y * x) / y) \ x). [para(2618(a,1),2666(a,1,2)),flip(a)]. 2671 x * (((x * T(y,x)) / x) \ T(y,x)) = (T(y,x) \ y) \ x. [para(166(a,1),2670(a,1,1,2)),flip(a)]. 2672 (T(x,y) \ x) \ y = y * (x \ T(x,y)). [para(166(a,1),2671(a,1,2,1)),flip(a)]. 2673 (T(x,y) \ x) * (y * (x \ T(x,y))) = y. [para(2672(a,1),14(a,1,2))]. 2674 x * (T(x,R(y,x,(y * x) \ x)) \ x) = K(x,y) \ x. [para(13(a,1),2665(a,2,1))]. 2676 x * (K(x,y) \ 1) = K(x,y) \ x. [para(2415(a,1),2674(a,1,2))]. 2677 K(x,y) \ x != x * z | K(x,y) \ 1 = z. [para(2676(a,1),19(a,1))]. 2678 x * ((x \ T(x,y)) * T(1 / x,T(x,y))) = (1 / x) * (x * (x \ T(x,y))). [para(14(a,1),2669(a,1,2,2,2))]. 2680 (1 / x) * (x * (x \ T(x,y))) = x * ((x \ T(x,y)) * (x \ 1)). [para(2555(a,1),2678(a,1,2,2)),flip(a)]. 2681 (1 / x) * (x * (x \ T(x,y))) = x * ((x \ 1) * (x \ T(x,y))). [para(1182(a,1),2680(a,2,2))]. 2683 (1 / x) * (x * (x \ T(x,y))) = L(x \ T(x,y),x \ 1,x). [hyper(228,a,190,a(flip),b,2681,a)]. 2684 L(x \ T(x,y),x \ 1,x) = (1 / x) * T(x,y). [hyper(302,a,2683,a),flip(a)]. 2686 L(x \ T(x,y),x \ 1,x) = x \ T(x,y). [hyper(228,a,2559,a(flip),b,2684,a)]. 2687 L(x \ (x * K(x,y)),x \ 1,x) = x \ T(x,R(y,x,(y * x) \ x)). [para(1614(a,1),2686(a,1,1,2))]. 2688 x \ T(x,R(y,x,(y * x) \ x)) = L(K(x,y),x \ 1,x). [para(13(a,1),2687(a,1,1)),flip(a)]. 2690 L(K(x,y),x \ 1,x) = x \ (x * K(x,y)). [para(1614(a,1),2688(a,1,2)),flip(a)]. 2691 L(K(x,y),x \ 1,x) = K(x,y). [hyper(228,a,13,a(flip),b,2690,a)]. 2694 (x \ 1) * K(x,y) = x \ K(x,y). [hyper(71,a,2691,a(flip),b,190,a),flip(a)]. 2695 K(x,y) * (x \ 1) = x \ K(x,y). [hyper(1200,a,2694,a)]. 2696 K(x,y) \ (x \ K(x,y)) = x \ 1. [hyper(71,a,2694,a(flip),b,1199,a)]. 2697 x \ K(x,y) != z * K(x,y) | x \ 1 = z. [para(2694(a,1),20(a,1))]. 2698 K(x,y) \ (x \ K(x,y)) != z | x \ 1 = z. [para(2695(a,1),284(a,1,2)),flip(b)]. 2699 K(x,y) \ (x \ K(x,y)) != z * u | (x \ 1) / u = z. [para(2695(a,1),438(a,1,2))]. 2700 T(R(x,y,z),R(x,y,z) / (R(x,y,z) * x)) = R(x,y,z) * K(R(x,y,z),x \ 1). [hyper(228,a,1619,a(flip),b,2631,a)]. 2701 T(R(x,y,z),R(x,y,z) / (x * R(x,y,z))) = R(x,y,z) * K(R(x,y,z),x \ 1). [hyper(228,a,2588,a,b,2700,a(flip)),flip(a)]. 2702 R(T(x,R(x,y,z) / (x * R(x,y,z))),y,z) = R(x,y,z) * K(R(x,y,z),x \ 1). [hyper(228,a,42,a,b,2701,a(flip)),flip(a)]. 2703 R(x,y,z) * K(R(x,y,z),x \ 1) = R((x \ 1) \ 1,y,z). [para(1907(a,1),2702(a,1,1)),flip(a)]. 2704 R(x,y,z) \ R(T(x,x \ 1),y,z) = K(R(x,y,z),x \ 1). [hyper(71,a,1045,a,b,2703,a)]. 2706 a(R(x,y,z),1 / x,x) = K(R(x,y,z),x \ 1). [hyper(228,a,1894,a(flip),b,2704,a(flip)),flip(a)]. 2707 R(T(x,x \ 1),y,z) \ R(x,y,z) = K(R(x,y,z),x \ 1) \ 1. [para(2704(a,1),2420(a,1,1)),flip(a)]. 2708 x * ((x \ R(x,y,z)) / R(x,y,z)) = a(R(x,y,z),1 / x,x). [hyper(228,a,2627,a,b,2706,a),flip(a)]. 2709 x * L(x \ 1,R(x,y,z),1 / x) = a(R(x,y,z),1 / x,x). [para(1722(a,2),2708(a,1,2))]. 2710 K(R(x,y,z),x \ 1) \ 1 != u | x * T(x \ 1,R(x,y,z)) = u. [para(2707(a,1),2271(a,1))]. 2711 (((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1)) \ (x \ 1) = (x \ R(x,y,z)) / R(x,y,z). [para(1147(a,1),2587(a,2,1))]. 2712 R(T(x,y * K(z,z \ 1)),y,K(z,z \ 1)) = L(T(x,y),y,K(z,z \ 1)). [hyper(2366,a,2365,a),flip(a)]. 2713 R(T(x,y * K(z \ 1,z)),y,K(z \ 1,z)) = L(T(x,y),y,K(z \ 1,z)). [hyper(2375,a,2374,a),flip(a)]. 2714 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = L(1 / (y \ x),y \ x,y) * ((x \ y) \ 1). [para(784(a,1),1983(a,2,1))]. 2715 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = (x \ y) \ L(1 / (y \ x),y \ x,y). [hyper(228,a,2267,a(flip),b,2714,a)]. 2716 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = K(y \ x,((x \ y) * (y \ x)) / (y \ x)). [para(1502(a,1),1984(a,2,2,1))]. 2717 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = K(y \ x,x \ y). [para(15(a,1),2716(a,2,2))]. 2718 (x \ y) \ L(1 / (y \ x),y \ x,y) = K(y \ x,x \ y). [hyper(228,a,2715,a(flip),b,2717,a(flip)),flip(a)]. 2720 (x \ y) * K(y \ x,x \ y) = L(1 / (y \ x),y \ x,y). [para(2718(a,1),14(a,1,2))]. 2721 T(K(x \ 1,x),((y * x) / y) \ x) = K(x \ (((y * x) / y) \ x),x). [para(14(a,1),2409(a,1,1))]. 2722 K(x \ (((y * x) / y) \ x),x) = K(x \ 1,x). [hyper(228,a,2354,a(flip),b,2721,a(flip))]. 2725 (x * R(x \ 1,x,y)) \ (x * (y / (x * y))) = K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)). [para(1647(a,1),2217(a,1,2))]. 2726 K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)) = K(x,y / (x * y)). [hyper(733,a,2725,a),flip(a)]. 2727 x \ T(x,y / (x * y)) = K(x,y / (x * y)). [hyper(228,a,2266,a(flip),b,2726,a(flip)),flip(a)]. 2728 K(x,y / (x * y)) = K(x,x \ 1). [hyper(1910,a,2727,a),flip(a)]. 2729 K(x,y / (x * y)) != z | K(x,x \ 1) = z. [para(2727(a,1),1910(a,1))]. 2730 K(x / y,y / x) != z | K(x / y,(x / y) \ 1) = z. [para(16(a,1),2729(a,1,2,2))]. 2731 (x * (R(y / z,z,y \ u) / x)) * (z * (y \ u)) = (x * ((u / (z * (y \ u))) / x)) * (z * (y \ u)). [hyper(228,a,2111,a(flip),b,2114,a)]. 2732 (x * (y * z)) * ((u * ((x * (y * z)) \ (x * y))) / u) = (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)). [para(100(a,1),1554(a,1,2,1,2,1))]. 2733 (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)) = x * ((y * z) * ((u * ((y * z) \ y)) / u)). [hyper(1250,a,2732,a),flip(a)]. 2734 (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)) = x * (y * (z * ((u * (z \ 1)) / u))). [para(1032(a,1),2733(a,2,2))]. 2735 L(x,y,z) * ((u * (L(x,y,z) \ 1)) / u) = L(x * ((u * (x \ 1)) / u),y,z). [hyper(445,a,2734,a),flip(a)]. 2736 L(x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)),y,z) = L(x,y,z) * (1 / L(x,y,z)). [para(14(a,1),2735(a,1,2,1)),flip(a)]. 2737 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(228,a,1841,a,b,2736,a)]. 2738 L(K(L(x,y,z),1 / x),y,z) = K(L(x,y,z),L(x,y,z) \ 1). [para(1607(a,1),2737(a,1,1))]. 2739 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((x * ((z * u) / ((y * z) * u))) / x) * ((y * z) * u). [para(109(a,1),1559(a,1,1,1,2,2)),flip(a)]. 2740 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((y * z) * u) * ((x * (((y * z) * u) \ (z * u))) / x). [hyper(228,a,805,a(flip),b,2739,a)]. 2741 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((y * z) * ((x * ((y * z) \ z)) / x)) * u. [hyper(228,a,2107,a(flip),b,2740,a)]. 2742 (R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u)) * (y * z) = ((x * y) * ((u * ((x * y) \ y)) / u)) * z. [para(805(a,1),2741(a,1,1))]. 2743 (R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u)) * (y * z) = ((x * ((u * (x \ 1)) / u)) * y) * z. [para(1597(a,1),2742(a,2,1))]. 2744 R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u) = R(x * ((u * (x \ 1)) / u),y,z). [hyper(18,a,109,a,b,2743,a)]. 2745 R(x * ((y * (x \ 1)) / y),z,u) = K(y,(y / R(x,z,u)) / y). [hyper(1603,a,2744,a),flip(a)]. 2746 R(x * ((R(x,y,z) * (x \ 1)) / R(x,y,z)),y,z) = R(x,y,z) * (1 / R(x,y,z)). [para(14(a,1),2744(a,1,2,1)),flip(a)]. 2747 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(228,a,1841,a,b,2746,a)]. 2748 R(x * ((x \ R(x,y,z)) / R(x,y,z)),y,z) = K(R(x,y,z),R(x,y,z) \ 1). [para(1147(a,1),2747(a,1,1,2,1))]. 2749 R(K(R(x,y,z),x \ 1),y,z) = K(R(x,y,z),R(x,y,z) \ 1). [para(2627(a,1),2748(a,1,1))]. 2750 (((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(30(a,2),1582(a,2,2,1,1))]. 2751 (((x * y) * R((x * y) \ y,z,u)) * w) / (y * w) = R(x,y,w) * R(R(x,y,w) \ 1,z,u). [para(1596(a,1),2750(a,1,1))]. 2752 (((x * R(x \ 1,y,z)) * u) * w) / (u * w) = R(x,u,w) * R(R(x,u,w) \ 1,y,z). [para(1417(a,1),2751(a,1,1,1))]. 2753 R(x,y,z) * R(R(x,y,z) \ 1,u,w) = R(x * R(x \ 1,u,w),y,z). [hyper(489,a,2752,a),flip(a)]. 2755 (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(28(a,2),1599(a,2,2,1,1))]. 2756 (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(986(a,1),2755(a,1,2))]. 2757 (x * y) \ (x * ((y * z) * L((y * z) \ y,u,w))) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). [para(13(a,1),2756(a,1,2,2,2,1,2))]. 2758 (x * y) \ (x * (y * (z * L(z \ 1,u,w)))) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). [para(844(a,1),2757(a,1,2,2))]. 2759 L(x,y,z) * L(L(x,y,z) \ 1,u,w) = L(x * L(x \ 1,u,w),y,z). [hyper(456,a,2758,a),flip(a)]. 2761 L(x,y,z) * L(L(x,y,z) \ 1,x,1 / x) = L(x * T(1 / x,1),y,z). [para(708(a,1),2759(a,2,1,2))]. 2762 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(1015(a,1),2759(a,1,2))]. 2763 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(x * T(1 / x,1),y,z). [para(1371(a,1),2761(a,1,2))]. 2764 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(x * (1 / x),y,z). [para(143(a,1),2763(a,2,1,2))]. 2765 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(K(x,x \ 1),y,z). [para(1841(a,2),2764(a,2,1))]. 2766 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(12(a,1),2762(a,1,2,2)),flip(a)]. 2767 L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)) = L(K(L(x,y,z),1 / x),y,z). [para(2247(a,1),2766(a,1,1)),flip(a)]. 2768 L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)) = K(L(x,y,z),L(x,y,z) \ 1). [hyper(228,a,2738,a(flip),b,2767,a)]. 2769 (L(x,y,z) / x) \ (1 / x) = 1 / L(x,y,z). [hyper(17,a,1841,a(flip),b,2768,a)]. 2770 L(1 / (1 / x),y,z) \ 1 = 1 / L(x,y,z). [hyper(228,a,1574,a,b,2769,a(flip)),flip(a)]. 2771 L(1 / (1 / x),y,z) = 1 / (1 / L(x,y,z)). [para(2770(a,1),61(a,1,2)),flip(a)]. 2772 1 / L(x \ 1,y,z) = L(1 / x,y,z) \ 1. [para(61(a,1),2770(a,1,1,1,2)),flip(a)]. 2773 1 / (1 / L(x \ 1,y,z)) = L(1 / x,y,z). [para(61(a,1),2771(a,1,1,2)),flip(a)]. 2774 T(1 / (1 / L(x,y,z)),1 / x) = L((1 / x) \ 1,y,z). [para(2771(a,1),186(a,1,1))]. 2775 (L(1 / x,y,z) \ 1) \ 1 = L(x \ 1,y,z). [para(2772(a,1),64(a,1,1))]. 2776 L(1 / x,x,y) = 1 / (1 / ((y * x) \ y)). [para(161(a,1),2773(a,1,2,2)),flip(a)]. 2777 L(1 / (x \ y),x \ y,x) = 1 / (1 / (y \ x)). [para(351(a,1),2773(a,1,2,2)),flip(a)]. 2778 1 / (1 / L(L(x \ 1,y,z),u,w)) = L(L(1 / x,y,z),u,w). [para(2773(a,1),2771(a,1,1)),flip(a)]. 2779 L(x,x \ 1,y) = 1 / (1 / ((y * (x \ 1)) \ y)). [para(61(a,1),2776(a,1,1))]. 2780 L((x \ 1) \ 1,y,z) = (L(x,y,z) \ 1) \ 1. [para(61(a,1),2775(a,1,1,1,1)),flip(a)]. 2781 L((((x \ y) \ z) \ 1) \ 1,x \ y,x) = ((y \ (x * z)) \ 1) \ 1. [para(458(a,1),2780(a,2,1,1))]. 2782 (x \ y) * K(y \ x,x \ y) = 1 / (1 / (x \ y)). [hyper(228,a,2720,a,b,2777,a(flip)),flip(a)]. 2783 L(x \ y,y \ x,x \ y) = 1 / (1 / (x \ y)). [hyper(228,a,1650,a,b,2777,a(flip)),flip(a)]. 2784 x * K(x \ y,(x \ y) \ 1) = y * (1 / (1 / (y \ x))). [para(2783(a,1),1955(a,1,2)),flip(a)]. 2785 K(1 / (x \ y),x \ y) = K(y \ x,x \ y). [hyper(17,a,1888,a,b,2782,a),flip(a)]. 2786 K((x \ y) \ 1,x \ y) = K(y \ x,x \ y). [hyper(17,a,1809,a,b,2782,a),flip(a)]. 2787 K((1 / x) * y,y \ x) = K(x \ y,y \ x). [para(326(a,1),2785(a,1,1))]. 2788 K(x \ y,y \ x) / (y \ x) = (y \ x) \ 1. [para(2785(a,1),726(a,1,1))]. 2789 K(((x * y) \ x) \ 1,(x * y) \ x) = K(y,(x * y) \ x). [hyper(228,a,644,a(flip),b,2786,a)]. 2790 x * K(y \ x,x \ y) = y * (((y \ x) \ 1) \ 1). [para(2786(a,1),2451(a,1,2))]. 2791 K((x \ 1) \ y,y \ (x \ 1)) = K(x * y,y \ (x \ 1)). [para(61(a,1),2787(a,1,1,1)),flip(a)]. 2792 T(1 / (1 / L(x,y,z)),1 / x) = L(x,y,z). [para(64(a,1),2774(a,2,1))]. 2793 T(T(1 / (1 / L(x,y,z)),u),1 / x) = T(L(x,y,z),u). [para(2792(a,1),38(a,1,1)),flip(a)]. 2794 x * K(x \ y,y \ x) = y * (1 / (1 / (y \ x))). [para(2443(a,1),2784(a,1,2))]. 2795 (x / y) * K(y,y \ 1) = x * (1 / (1 / (x \ (x / y)))). [para(2448(a,1),2794(a,1,2))]. 2796 L(K(x,x \ 1),x,y) = K(x,(y * x) \ y). [hyper(228,a,2455,a,b,2789,a(flip)),flip(a)]. 2797 (x * y) * K(y,(x * y) \ x) = x * T(y,(x * y) \ x). [para(2789(a,1),1389(a,1,2))]. 2798 L(K(x,x \ 1),x,y) = K(x,x \ 1). [hyper(228,a,2441,a(flip),b,2796,a)]. 2799 K(x,(y * x) \ y) \ 1 = K((y * x) \ y,x). [para(2796(a,1),2474(a,2,1)),flip(a)]. 2801 L(K(x \ 1,x),1 / x,y) = K(1 / x,(1 / x) \ 1). [para(1884(a,1),2798(a,1,1))]. 2802 K((x * y) \ x,y) = K(y \ 1,y). [hyper(228,a,2446,a(flip),b,2799,a(flip))]. 2804 K(x \ (x / y),y) = K(y \ 1,y). [para(16(a,1),2802(a,1,1,1))]. 2805 K(T(x,y) \ 1,T(x,y)) = K((x * y) \ y,T(x,y)). [para(113(a,1),2802(a,1,1,1)),flip(a)]. 2806 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(1339(a,1),2804(a,1,1,2)),flip(a)]. 2807 K((x * y) \ y,y \ (x * y)) = K(T(x,y) \ 1,T(x,y)). [para(32(a,1),2805(a,2,2)),flip(a)]. 2808 L(K(x \ 1,x),1 / x,y) = K(x \ 1,x). [hyper(228,a,1884,a(flip),b,2801,a)]. 2809 (x * (y \ 1)) / K(y \ 1,y) = x * (1 / y). [para(2808(a,1),728(a,1,2))]. 2810 R(x,y \ 1,y) / y = x * (1 / y). [hyper(1496,a,2809,a)]. 2811 (x * K(y \ 1,y)) / (y \ 1) = x / (1 / y). [hyper(540,a,2809,a),flip(a)]. 2812 (x * (1 / y)) * K(y \ 1,y) = x * (y \ 1). [para(2809(a,1),16(a,1,1))]. 2813 (x * (1 / y)) * y = R(x,y \ 1,y). [para(2809(a,1),1495(a,1,1))]. 2815 R(x,1 / y,y) = R(x,y \ 1,y). [hyper(1008,a,2810,a),flip(a)]. 2816 R(x / (1 / y),y \ 1,y) = x * y. [hyper(501,a,2815,a),flip(a)]. 2817 R(T(x / (1 / y),z),y \ 1,y) = T(x * y,z). [hyper(228,a,573,a(flip),b,2815,a(flip))]. 2818 ((1 / x) * K(y,x)) * x = R(K(y,x),x \ 1,x). [para(2057(a,1),2813(a,1,1))]. 2819 (x / (1 / y)) * (y \ 1) = x * K(y \ 1,y). [para(2811(a,1),16(a,1,1))]. 2820 K(x \ 1,x) * (y * (1 / x)) = y * (x \ 1). [hyper(2361,a,2812,a)]. 2821 R(x,1 / y,K(y \ 1,y)) = x. [hyper(776,a,2812,a)]. 2822 R(x,1 / (1 / y),K(y,y \ 1)) = x. [para(1843(a,1),2821(a,1,3))]. 2823 (x * K(y,y \ 1)) / y = x / (1 / (1 / y)). [hyper(228,a,1865,a(flip),b,2822,a(flip)),flip(a)]. 2824 (x * (1 / (1 / y))) * K(y,y \ 1) = x * y. [para(2822(a,1),1864(a,1,1)),flip(a)]. 2825 (x * (y \ 1)) / (1 / y) = x * K(y \ 1,y). [hyper(228,a,1354,a,b,2819,a(flip)),flip(a)]. 2826 (x / (y \ 1)) * K(y \ 1,y) = x / (1 / y). [hyper(228,a,1355,a(flip),b,2819,a(flip))]. 2828 (x / y) * K(y,y \ 1) = x / (1 / (1 / y)). [hyper(228,a,1914,a(flip),b,2823,a(flip)),flip(a)]. 2829 x * K(y,y \ 1) != z * y | z * (1 / (1 / y)) = x. [para(2824(a,1),20(a,1)),flip(a)]. 2830 (x * K(y \ 1,y)) * (1 / y) = x * (y \ 1). [para(2825(a,1),16(a,1,1))]. 2831 R(x * K(y \ 1,y),y \ 1,y) = (x * (y \ 1)) * y. [para(2825(a,1),2816(a,1,1))]. 2832 K(x \ 1,x) * (y / (x \ 1)) = y / (1 / x). [hyper(2361,a,2826,a)]. 2834 T(x * y,x \ (1 / y)) = R(((x / (1 / y)) \ 1) \ 1,y \ 1,y). [para(2461(a,1),2817(a,1,1)),flip(a)]. 2835 R(K(x \ (x / ((y \ x) / T(x,y))),x),x \ 1,x) = ((1 / x) * (T(x,y) \ x)) * x. [para(2488(a,1),2818(a,1,1,2)),flip(a)]. 2836 R(((x \ (x / (y \ 1))) * x) * K(y \ 1,y),y \ 1,y) = (x * ((y \ 1) * T((y \ 1) \ 1,x))) * y. [para(1159(a,1),2831(a,2,1))]. 2837 ((x \ 1) \ y) \ K(x * y,y \ (x \ 1)) = 1 / ((x \ 1) \ y). [hyper(71,a,2791,a(flip),b,2456,a)]. 2838 x * (1 / (1 / (x \ (x / y)))) = x / (1 / (1 / y)). [hyper(228,a,2828,a(flip),b,2795,a(flip))]. 2839 1 / (1 / (x \ (x / y))) = x \ (x / (1 / (1 / y))). [hyper(71,a,2828,a(flip),b,2795,a(flip)),flip(a)]. 2840 x / (1 / (1 / (y \ x))) = x * (1 / (1 / (x \ y))). [para(61(a,1),2838(a,1,2,2,2,2)),flip(a)]. 2841 (x / (1 / (1 / y))) / x = 1 / (1 / ((x / y) / x)). [para(2838(a,1),2381(a,1,1))]. 2842 1 / (1 / (x \ (x / (y \ 1)))) = x \ (x / (1 / y)). [para(61(a,1),2839(a,2,2,2,2))]. 2843 (x \ (x / (1 / (1 / y)))) \ 1 = 1 / (x \ (x / y)). [para(2839(a,1),64(a,1,1))]. 2844 x / (1 / (1 / ((x * y) \ x))) = x * (1 / (1 / y)). [para(13(a,1),2840(a,2,2,2,2))]. 2845 (x * (1 / (1 / (x \ y)))) \ x = 1 / (1 / (y \ x)). [para(2840(a,1),64(a,1,1))]. 2846 1 / (1 / ((x / (y \ 1)) / x)) = (x / (1 / y)) / x. [para(61(a,1),2841(a,1,1,2,2)),flip(a)]. 2847 1 / (x \ (x / ((y \ 1) \ 1))) = (x \ (x / y)) \ 1. [para(138(a,1),2843(a,1,1,2,2)),flip(a)]. 2848 x / L(y,y \ 1,x) = x * (1 / (1 / (y \ 1))). [para(2779(a,2),2844(a,1,2))]. 2849 x / L(y,y \ 1,x) = x * (1 / y). [para(61(a,1),2848(a,2,2,2))]. 2850 L(x,x \ 1,y) = (y * (1 / x)) \ y. [para(2849(a,1),64(a,1,1)),flip(a)]. 2851 K(x \ (x / L(y,y \ 1,x)),z) = K(1 / y,z). [para(2849(a,2),644(a,1,1,2))]. 2852 L(x * T(x \ 1,y),x \ 1,y) = K(1 / x,y). [hyper(228,a,2250,a,b,2851,a(flip)),flip(a)]. 2853 K(1 / x,y) = K(x \ 1,y). [hyper(2591,a,2852,a),flip(a)]. 2854 L((1 / x) * T((1 / x) \ 1,y),x,y) = K(1 / (1 / x),y). [para(64(a,1),2852(a,1,2))]. 2855 K(1 / x,y) != z | K(x \ 1,y) = z. [para(2852(a,1),2591(a,1))]. 2856 K(1 / (1 / x),y) = K(x,y). [hyper(228,a,645,a(flip),b,2853,a)]. 2857 K((x \ 1) \ 1,y) = K(x,y). [para(61(a,1),2853(a,1,1)),flip(a)]. 2859 K(T(1 / x,y) \ 1,z) = K(T(x \ 1,y) \ 1,z). [para(2319(a,1),2853(a,1,1))]. 2860 K(L(1 / x,y,z),u) = K(L(x \ 1,y,z),u). [para(2773(a,1),2856(a,1,1))]. 2861 K(T(x,x \ 1),y) = K(x,y). [para(114(a,2),2857(a,1,1))]. 2863 (x * K(x \ y,y \ x)) \ y = 1 / (1 / (x \ y)). [para(2794(a,2),2845(a,1,1))]. 2864 1 / ((x / (y \ 1)) / x) = ((x / (1 / y)) / x) \ 1. [para(2846(a,1),64(a,1,1)),flip(a)]. 2865 ((x \ (x / y)) \ 1) \ 1 = x \ (x / ((y \ 1) \ 1)). [para(2847(a,1),64(a,1,1))]. 2866 x * (((x \ (x / y)) \ 1) \ 1) = x / ((y \ 1) \ 1). [para(2847(a,1),140(a,1,2,1))]. 2867 T(x \ (x / y),y) = x \ (x / ((y \ 1) \ 1)). [hyper(228,a,2449,a,b,2865,a(flip)),flip(a)]. 2868 x * T(x \ (x / y),y) = x / ((y \ 1) \ 1). [para(2867(a,2),14(a,1,2))]. 2869 T(x \ (x / (1 / y)),1 / y) = x \ (x / (y \ 1)). [para(64(a,1),2867(a,2,2,2,1))]. 2870 x * (y \ (y / ((x \ 1) \ 1))) = (y \ (y / x)) * x. [para(2867(a,1),113(a,1,2))]. 2871 (x / y) * K(y \ 1,y) = x / ((y \ 1) \ 1). [hyper(2402,a,2868,a)]. 2872 (x * y) / ((y \ 1) \ 1) = x * K(y \ 1,y). [para(15(a,1),2871(a,1,1)),flip(a)]. 2873 (x / ((y \ 1) \ 1)) * y = x * K(y \ 1,y). [para(2871(a,1),1490(a,1,1))]. 2874 (1 / (x * y)) \ (y \ 1) = x * K(y \ 1,y). [hyper(319,a,2872,a)]. 2875 (x * K(y \ 1,y)) * ((y \ 1) \ 1) = x * y. [para(2872(a,1),16(a,1,1))]. 2876 (x * T(y,z)) / T(T(y,y \ 1),z) = x * K(T(y,z) \ 1,T(y,z)). [para(2318(a,2),2872(a,1,2))]. 2877 (x * ((y \ 1) \ 1)) * K(y \ 1,y) = x * y. [para(15(a,1),2873(a,1,1)),flip(a)]. 2878 (x / T(y,y \ 1)) * y = x * K(y \ 1,y). [para(114(a,2),2873(a,1,1,2))]. 2879 (x * T(y,y \ 1)) * K(y \ 1,y) = x * y. [para(620(a,1),2873(a,1,1)),flip(a)]. 2880 T(x * ((y \ 1) \ 1),z) * K(y \ 1,y) = (y \ T(y * x,z)) * y. [para(953(a,1),2873(a,1,1)),flip(a)]. 2881 x * ((y \ 1) \ 1) != z * y | z * K(y \ 1,y) = x. [para(2875(a,1),20(a,1)),flip(a)]. 2883 (K(x \ 1,x) * y) * ((x \ 1) \ 1) = y * x. [para(2353(a,2),2875(a,1,1))]. 2884 (x * (y \ 1)) * ((y \ 1) \ 1) = R(x,y \ 1,y). [hyper(18,a,487,a,b,2877,a)]. 2885 K(x,y) * K(y \ 1,y) = (y \ K(x,y)) * y. [para(2634(a,1),2878(a,1,1)),flip(a)]. 2886 K(x \ 1,x) * (y * T(x,x \ 1)) = y * x. [hyper(2361,a,2879,a)]. 2887 x * ((y \ 1) \ 1) != z * y | K(y \ 1,y) * z = x. [para(2883(a,1),20(a,1)),flip(a)]. 2889 K(x \ 1,x) * K(y,x) = (x \ K(y,x)) * x. [hyper(2361,a,2885,a)]. 2890 R(x \ y,y \ 1,y) = (x \ 1) * ((y \ 1) \ 1). [para(119(a,1),2884(a,1,1)),flip(a)]. 2891 R(T(x,y) \ x,x \ 1,x) != z | T(x,y) \ x = z. [para(2890(a,2),2384(a,1))]. 2892 x / (((y \ x) \ 1) \ 1) = x * (((x \ y) \ 1) \ 1). [para(61(a,1),2866(a,1,2,1,1,2)),flip(a)]. 2893 (x * y) * K(y,y \ 1) = x * T(y,(x * y) \ x). [para(2441(a,1),2797(a,1,2))]. 2894 (x * y) * K(y,y \ 1) = x * ((y \ 1) \ 1). [para(2432(a,1),2893(a,2,2))]. 2895 (x * y) * K(y,y \ 1) = x * T(y,y \ 1). [para(2434(a,1),2893(a,2,2))]. 2897 K(x,x \ 1) * (y * x) = y * ((x \ 1) \ 1). [hyper(2343,a,2894,a)]. 2898 (x / y) * ((y \ 1) \ 1) = x * K(y,y \ 1). [hyper(300,a,2894,a),flip(a)]. 2899 (x * K(y,y \ 1)) * y = x * ((y \ 1) \ 1). [hyper(228,a,1900,a,b,2894,a(flip)),flip(a)]. 2900 (x * y) * K(T(x,y),T(x,y) \ 1) = y * ((T(x,y) \ 1) \ 1). [para(113(a,1),2894(a,1,1))]. 2902 K(x,x \ 1) * (y * x) = y * T(x,x \ 1). [hyper(2343,a,2895,a)]. 2903 (x / y) * T(y,y \ 1) = x * K(y,y \ 1). [hyper(300,a,2895,a),flip(a)]. 2904 (K(x,x \ 1) * y) * x = y * ((x \ 1) \ 1). [hyper(2219,a,2897,a)]. 2905 (x / T(y,z)) * T((y \ 1) \ 1,z) = x * K(T(y,z),T(y,z) \ 1). [para(2321(a,1),2898(a,1,2))]. 2906 (T(x,y) \ 1) * K(x,x \ 1) = (T(x,y) \ x) / x. [hyper(72,a,2383,a(flip),b,2899,a),flip(a)]. 2907 (x / T(y,y \ 1)) * K(y,y \ 1) = x / y. [hyper(72,a,314,a(flip),b,2899,a),flip(a)]. 2908 (K(x \ 1,x) * y) * K(x,x \ 1) = y. [hyper(18,a,2883,a(flip),b,2899,a)]. 2909 (x * K(y \ 1,y)) * K(y,y \ 1) = x. [hyper(18,a,2875,a(flip),b,2899,a)]. 2910 K(x \ 1,x) * (y * K(x,x \ 1)) = y. [hyper(2887,a,2899,a(flip))]. 2911 (x * K(y,y \ 1)) * K(y \ 1,y) = x. [hyper(2881,a,2899,a(flip))]. 2912 K(x \ 1,x) * (y * x) = y * (1 / (1 / x)). [hyper(2829,a,2908,a),flip(a)]. 2913 K(x,x \ 1) * (K(x \ 1,x) * y) = y. [hyper(2343,a,2908,a)]. 2914 (K(x \ 1,x) * y) \ y = K(x,x \ 1). [hyper(77,a,2908,a)]. 2915 K(x \ 1,x) * (K(x,x \ 1) * y) = y. [hyper(18,a,2341,a(flip),b,2908,a)]. 2916 K(x \ 1,x) * (y / (x * y)) = R(x \ 1,x,y). [hyper(18,a,1959,a(flip),b,2908,a)]. 2917 x * K(y,y \ 1) != z | K(y \ 1,y) * z = x. [para(2908(a,1),20(a,1)),flip(a)]. 2918 ((x \ 1) * (x * y)) * K(x,x \ 1) = L(y,x,x \ 1). [para(455(a,1),2908(a,1,1))]. 2919 K(x,x \ 1) * y != z | K(x \ 1,x) * z = y. [para(2908(a,1),2346(a,2))]. 2920 (x * (y \ 1)) * K(y,y \ 1) = x * (1 / y). [para(2820(a,1),2908(a,1,1))]. 2921 (x / (1 / y)) * K(y,y \ 1) = x / (y \ 1). [para(2832(a,1),2908(a,1,1))]. 2922 (x * y) * K(y \ 1,y) = x * (1 / (1 / y)). [hyper(2829,a,2909,a),flip(a)]. 2923 K(x,x \ 1) * (y * K(x \ 1,x)) = y. [hyper(2343,a,2909,a)]. 2924 (x / y) * y = (x * K(z,z \ 1)) * K(z \ 1,z). [hyper(236,a,2909,a)]. 2925 (x / (1 / (1 / y))) * K(y \ 1,y) = x / y. [hyper(18,a,2828,a,b,2909,a)]. 2926 (K(x,x \ 1) * y) * K(x \ 1,x) = y. [hyper(18,a,2341,a(flip),b,2909,a)]. 2927 K(x,x \ 1) * y != z | z * K(x \ 1,x) = y. [para(2909(a,1),2346(a,2))]. 2928 K(x \ 1,x) * y != z | z * K(x,x \ 1) = y. [para(2910(a,1),19(a,1)),flip(a)]. 2929 R((x * K(y,y \ 1)) / z,z,K(y \ 1,y)) = x / (z * K(y \ 1,y)). [para(2911(a,1),110(a,2,1))]. 2930 K(x \ 1,x) \ y = K(x,x \ 1) * y. [hyper(302,a,2913,a),flip(a)]. 2932 K(x,x \ 1) * (y * (x \ 1)) = y * (1 / x). [para(2820(a,1),2913(a,1,2))]. 2933 K(x,x \ 1) * (y / (1 / x)) = y / (x \ 1). [para(2832(a,1),2913(a,1,2))]. 2934 K(x \ 1,x) * y != z | K(x,x \ 1) * z = y. [para(2915(a,1),19(a,1)),flip(a)]. 2936 x * K(y \ 1,y) != z | K(y,y \ 1) * z = x. [para(2915(a,1),2357(a,1)),flip(a),flip(b)]. 2937 R((K(x,x \ 1) * y) / z,z,K(x \ 1,x)) = y / (z * K(x \ 1,x)). [para(2926(a,1),110(a,2,1))]. 2938 K(x \ 1,x) * T(K(x,x \ 1) * y,z) = (x \ T(x * (y / x),z)) * x. [para(2930(a,1),2200(a,1,2,1))]. 2939 K(x \ 1,x) * R(K(x,x \ 1) * (y * x),z,u) = (x \ R(x * y,z,u)) * x. [para(2930(a,1),2281(a,1,2,1))]. 2940 K(x \ 1,x) * L(K(x,x \ 1) * (y * x),z,u) = (x \ L(x * y,z,u)) * x. [para(2930(a,1),2282(a,1,2,1))]. 2941 (x \ K(y,x)) * K(x,x \ 1) = K(y,x) / x. [para(2634(a,1),2907(a,1,1))]. 2942 K(x \ 1,x) * (y * T(x,z)) = y * (1 / (1 / T(x,z))). [para(2537(a,1),2912(a,1,1))]. 2943 (x / (y \ 1)) * (1 / y) = x * K(y,y \ 1). [hyper(300,a,2920,a),flip(a)]. 2944 (x * y) * (y \ 1) = R(x,y,1 / y). [hyper(18,a,1848,a,b,2920,a)]. 2945 ((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(2920(a,1),479(a,1,1))]. 2946 R(x,y,1 / y) = R(x,y,y \ 1). [hyper(491,a,2944,a),flip(a)]. 2947 R(x,y,1 / y) != z | R(x,y,y \ 1) = z. [para(2944(a,1),491(a,1))]. 2948 R(x,1 / y,1 / (1 / y)) = R(x,1 / y,y). [para(64(a,1),2946(a,2,3))]. 2949 (x / (1 / (1 / y))) / (1 / y) = (x / y) / (y \ 1). [hyper(72,a,2925,a(flip),b,2819,a),flip(a)]. 2950 K(x,x \ 1) * (y \ 1) = (y \ x) * (1 / x). [para(119(a,1),2932(a,1,2))]. 2951 K(1 / T(x,y),(1 / T(x,y)) \ 1) * (z / T(1 / (1 / x),y)) = z / ((1 / T(x,y)) \ 1). [para(2324(a,1),2933(a,1,2,2))]. 2952 K(x,y) * K(y,y \ 1) = y * (K(x,y) / y). [para(2941(a,1),2209(a,1,2)),flip(a)]. 2953 R(x,1 / y,1 / (1 / y)) = R(x,y \ 1,y). [hyper(228,a,2815,a(flip),b,2948,a)]. 2954 R(x,1 / y,(1 / y) \ 1) = R(x,y \ 1,y). [hyper(2947,a,2953,a)]. 2955 K(x / (y * x),y) = K(y \ 1,y). [hyper(18,a,1953,a,b,2916,a),flip(a)]. 2956 K((x / y) \ 1,x / y) = K(y / x,x / y). [para(16(a,1),2955(a,1,1,2)),flip(a)]. 2958 K((x / (y * x)) \ 1,x / (y * x)) = K(y,x / (y * x)). [para(15(a,1),2956(a,2,1))]. 2959 K((x / y) \ 1,x / y) != z | K(y / x,(y / x) \ 1) = z. [para(2956(a,2),2730(a,1))]. 2960 K(x,T(x,y) \ 1) = K(x,x \ 1). [hyper(17,a,2096,a,b,2906,a),flip(a)]. 2961 T(K(x,x \ 1),y) = K(x,T(x,z) \ 1). [hyper(228,a,2338,a,b,2960,a),flip(a)]. 2964 T(K(T(x,y),1 / x),z) = K(T(x,y),T(T(x,y),u) \ 1). [para(2314(a,1),2961(a,1,1))]. 2966 K((x * y) \ y,y \ (x * y)) = K(x \ 1,x). [hyper(228,a,2652,a(flip),b,2807,a)]. 2968 (x * y) * ((((x * y) \ y) \ 1) \ 1) = y * K(x \ 1,x). [para(2966(a,1),2790(a,1,2)),flip(a)]. 2969 ((x * y) * K(x \ 1,x)) \ y = 1 / (1 / ((x * y) \ y)). [para(2966(a,1),2863(a,1,1,2))]. 2970 K(x \ 1,x) * (y * T(x,z)) = y * T(1 / (1 / x),z). [para(2324(a,1),2942(a,2,2))]. 2971 K((x / (y * x)) \ 1,x / (y * x)) = K(y,y \ 1). [hyper(228,a,2728,a(flip),b,2958,a)]. 2973 K(x,x \ 1) * (x * y) = T(x,x \ 1) * y. [para(2971(a,1),1908(a,1,1))]. 2974 (x * y) * K(x,x \ 1) = T(x,x \ 1) * y. [hyper(2347,a,2973,a)]. 2975 T(x,x \ 1) \ (K(x,x \ 1) * y) = x \ y. [hyper(558,a,2973,a)]. 2976 K(x,x \ 1) * (x * y) = ((x \ 1) \ 1) * y. [hyper(228,a,245,a(flip),b,2973,a)]. 2977 L(x,y,K(y,y \ 1)) = x. [hyper(1817,a,2973,a(flip))]. 2978 x * (K(x,x \ 1) * y) = T(x,x \ 1) * y. [hyper(228,a,1932,a(flip),b,2973,a(flip)),flip(a)]. 2979 (T(x,x \ 1) * y) / (K(x,x \ 1) * y) = x. [hyper(72,a,2973,a(flip),b,1932,a(flip))]. 2982 K(x,x \ 1) * (((x \ 1) \ 1) \ y) = x \ y. [hyper(228,a,2291,a(flip),b,2977,a(flip)),flip(a)]. 2983 L(x,K(y,y \ 1),1 / (1 / y)) = x. [hyper(228,a,1967,a(flip),b,2977,a(flip)),flip(a)]. 2984 L(x,1 / y,K(y \ 1,y)) = x. [para(1884(a,1),2977(a,1,3))]. 2985 K(x \ 1,x) * ((x \ 1) \ y) = (1 / x) \ y. [hyper(228,a,1972,a(flip),b,2984,a(flip)),flip(a)]. 2986 L(x,1 / (1 / y),K(y,y \ 1)) = x. [para(1843(a,1),2984(a,1,3))]. 2987 K(x \ 1,x) * ((1 / x) * y) = (x \ 1) * y. [para(2984(a,1),1810(a,1,2)),flip(a)]. 2988 L(x \ y,x,x \ 1) = (1 / x) * y. [para(2984(a,1),1968(a,1,1,2))]. 2990 (1 / (1 / x)) * (K(x,x \ 1) * y) = x * y. [para(2983(a,1),1863(a,1,2)),flip(a)]. 2991 x \ (K(x,x \ 1) * y) = (1 / (1 / x)) \ y. [hyper(228,a,2070,a(flip),b,2986,a(flip)),flip(a)]. 2992 K(x,x \ 1) * ((1 / (1 / x)) * y) = x * y. [para(2986(a,1),2069(a,1,2)),flip(a)]. 2993 (1 / x) * (x * y) = L(y,x,x \ 1). [para(13(a,1),2988(a,1,1)),flip(a)]. 2994 L(T(x,y),y,y \ 1) = (1 / y) * (x * y). [para(32(a,2),2988(a,1,1))]. 2995 L((x \ 1) * y,x,x \ 1) = (1 / x) * L(y,x \ 1,x). [para(396(a,1),2988(a,1,1))]. 2996 x * ((1 / x) * (y * x)) = L(y,x,x \ 1) * x. [para(2988(a,1),586(a,1,2))]. 2997 T(x,(1 / x) * y) = T(x,(x \ 1) * y). [para(2988(a,1),2230(a,1,2))]. 2998 (1 / x) \ L(y,x,x \ 1) = x * y. [hyper(77,a,2993,a)]. 2999 L(x,y,y \ 1) \ ((1 / y) * (x * y)) = L(K(x,y),y * x,1 / y). [para(2993(a,1),243(a,1,1))]. 3000 (1 / (1 / x)) \ L(y,1 / x,x) = (1 / x) * y. [para(64(a,1),2998(a,1,2,3))]. 3001 (1 / x) * (x * y) != z | L(y,x,x \ 1) = z. [para(2998(a,1),213(a,1,2)),flip(b)]. 3002 T(x \ 1,((x \ 1) \ 1) * y) = T(x \ 1,x * y). [para(61(a,1),2997(a,1,2,1)),flip(a)]. 3003 (x * y) * K(x,x \ 1) = ((x \ 1) \ 1) * y. [hyper(228,a,245,a(flip),b,2974,a)]. 3004 x * (y * K(x,x \ 1)) = T(x,x \ 1) * y. [hyper(228,a,2211,a(flip),b,2974,a(flip)),flip(a)]. 3006 ((x \ 1) \ 1) \ (K(x,x \ 1) * y) = x \ y. [para(114(a,1),2975(a,1,1))]. 3007 ((x \ 1) \ 1) * (x \ y) = K(x,x \ 1) * y. [para(2975(a,1),312(a,1,2))]. 3008 x \ (y * K(x \ 1,x)) = T(x,x \ 1) \ y. [para(2923(a,1),2975(a,1,2)),flip(a)]. 3009 K(x \ 1,x) * (((x \ 1) \ 1) * y) = x * y. [hyper(2919,a,2976,a)]. 3010 K(x,x \ 1) * T(x \ 1,y) = T(1 / x,y). [hyper(17,a,2584,a(flip),b,2978,a)]. 3011 R(x,K(x,x \ 1),y) = x. [hyper(778,a,2979,a)]. 3012 R(1 / x,K(x \ 1,x),y) = 1 / x. [para(1884(a,1),3011(a,1,2))]. 3013 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(3012(a,1),2259(a,1,1)),flip(a)]. 3014 (x \ y) * K(x \ 1,x) = ((x \ 1) \ 1) \ y. [hyper(2927,a,2982,a)]. 3015 K(x \ 1,x) * (x \ y) = ((x \ 1) \ 1) \ y. [hyper(2919,a,2982,a)]. 3016 (((x \ 1) \ 1) \ y) * K(x,x \ 1) = x \ y. [hyper(2347,a,2982,a)]. 3018 (((x \ 1) \ 1) \ y) * ((x \ 1) \ 1) = (x \ y) * x. [para(2982(a,1),2904(a,1,1)),flip(a)]. 3019 K(x,x \ 1) * ((1 / x) \ y) = (x \ 1) \ y. [hyper(2934,a,2985,a)]. 3020 ((1 / x) \ y) * K(x,x \ 1) = (x \ 1) \ y. [hyper(2928,a,2985,a)]. 3021 ((x \ 1) \ y) * K(x \ 1,x) = (1 / x) \ y. [hyper(2358,a,2985,a)]. 3023 (1 / x) \ ((x \ 1) * y) = K(x \ 1,x) * y. [para(13(a,1),2985(a,1,2)),flip(a)]. 3024 (x \ 1) * ((1 / x) \ y) = K(x \ 1,x) * y. [para(2985(a,1),1970(a,1,2))]. 3025 K(x,x \ 1) * ((x \ 1) * y) = (1 / x) * y. [hyper(2934,a,2987,a)]. 3026 ((x \ 1) * y) * K(x,x \ 1) = (1 / x) * y. [hyper(2928,a,2987,a)]. 3027 ((1 / x) * y) * K(x \ 1,x) = (x \ 1) * y. [hyper(2358,a,2987,a)]. 3028 ((x * K(y \ 1,y)) * ((1 / y) * z)) / ((y \ 1) * z) = R(x,K(y \ 1,y),(1 / y) * z). [para(2987(a,1),30(a,2,2)),flip(a)]. 3029 ((x \ 1) * y) / L(T(1 / x,y),y,K(x \ 1,x)) = K(x \ 1,x) * y. [para(2987(a,1),507(a,1,1))]. 3030 ((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(2987(a,1),447(a,1,1))]. 3032 K(x \ 1,x) * K(y,x) = (x \ 1) * (x * K(y,x)). [para(2524(a,1),2987(a,1,2))]. 3033 K(x,x \ 1) * (x \ y) = (1 / (1 / x)) \ y. [hyper(71,a,14,a(flip),b,2990,a),flip(a)]. 3034 x * (K(x \ 1,x) * y) = (1 / (1 / x)) * y. [para(2913(a,1),2990(a,1,2)),flip(a)]. 3036 x * ((1 / (1 / x)) \ y) = K(x,x \ 1) * y. [para(2991(a,1),14(a,1,2))]. 3037 (x * y) * K(x \ 1,x) = (1 / (1 / x)) * y. [hyper(2927,a,2992,a)]. 3038 K(x,x \ 1) * ((y \ (1 / (1 / x))) * y) = x * K(y \ (1 / (1 / x)),y). [para(239(a,1),2992(a,1,2))]. 3039 x * (y * K(x,x \ 1)) = ((x \ 1) \ 1) * y. [hyper(228,a,2211,a(flip),b,3003,a(flip)),flip(a)]. 3041 x \ (K(x \ 1,x) * y) = ((x \ 1) \ 1) \ y. [para(2913(a,1),3006(a,1,2)),flip(a)]. 3042 ((x \ 1) \ 1) * (K(x \ 1,x) * y) = x * y. [hyper(1308,a,3009,a),flip(a)]. 3043 x * K(y \ 1,y) != y * z | ((y \ 1) \ 1) * z = x. [para(3009(a,1),2357(a,1)),flip(a),flip(b)]. 3044 ((x \ 1) \ 1) \ (x * y) = y * K(x \ 1,x). [para(13(a,1),3014(a,1,1)),flip(a)]. 3045 x * T(x \ (y \ x),y) = ((y \ 1) \ 1) \ x. [hyper(228,a,1168,a(flip),b,3015,a(flip)),flip(a)]. 3046 ((x \ 1) \ 1) \ y != z | (x \ y) * K(x \ 1,x) = z. [para(3015(a,1),2358(a,1))]. 3047 K(x \ 1,x) * (T(x,y) \ z) = ((T(x,y) \ 1) \ 1) \ z. [para(2537(a,1),3015(a,1,1))]. 3048 (1 / x) \ ((x \ 1) * (K(x,x \ 1) * y)) = y. [hyper(17,a,13,a(flip),b,3019,a)]. 3049 ((x \ 1) \ 1) \ ((x \ 1) \ y) = x \ ((1 / x) \ y). [hyper(71,a,3019,a(flip),b,3007,a)]. 3050 (x \ 1) \ ((1 / x) * y) = K(x,x \ 1) * y. [para(13(a,1),3019(a,1,2)),flip(a)]. 3051 ((x \ 1) \ K(y,x)) * K(x \ 1,x) = x * K(y,x). [hyper(228,a,2525,a(flip),b,3021,a)]. 3052 ((1 / x) \ y) * (1 / x) = ((x \ 1) \ y) * (x \ 1). [para(3021(a,1),2830(a,1,1))]. 3053 (1 / x) * (K(x \ 1,x) * y) = (x \ 1) * y. [para(3023(a,1),14(a,1,2))]. 3054 (x \ 1) * ((1 / x) \ y) = y * K(x \ 1,x). [hyper(228,a,2353,a(flip),b,3024,a)]. 3055 K(x \ 1,x) * ((y * ((1 / x) * z)) / y) = (x \ 1) * (x * ((y * (x \ z)) / y)). [para(1253(a,1),3024(a,1,2)),flip(a)]. 3056 x \ L(y,1 / x,x) = (x \ 1) * y. [hyper(1937,a,3025,a)]. 3057 (x * ((1 / y) * z)) / L((y \ 1) * z,K(y,y \ 1),x) = x * K(y,y \ 1). [para(3025(a,1),136(a,1,1,2))]. 3058 (x * K(y,y \ 1)) \ (x * ((1 / y) * z)) != u | L((y \ 1) * z,K(y,y \ 1),x) = u. [para(3025(a,1),456(a,1,2,2))]. 3059 L(x,1 / y,y) = L(x,y \ 1,y). [hyper(993,a,3056,a)]. 3060 L(x,(y \ 1) \ 1,y \ 1) = L(x,y,y \ 1). [para(61(a,1),3059(a,1,2)),flip(a)]. 3061 L(x,T(y,y \ z) \ 1,T(y,y \ z)) != u | L(x,1 / T(y,y \ z),(y \ z) \ z) = u. [para(3059(a,1),2010(a,1))]. 3062 ((1 / x) * y) / (1 / x) = ((x \ 1) * y) / (x \ 1). [hyper(72,a,3026,a(flip),b,2943,a)]. 3063 (x \ y) * K(x,x \ 1) = (1 / (1 / x)) \ y. [hyper(2347,a,3033,a)]. 3064 K(x,1 / x) * (x \ y) = (1 / (1 / x)) \ y. [para(1839(a,2),3033(a,1,1))]. 3065 ((1 / (1 / x)) \ y) * x = (x \ y) * ((x \ 1) \ 1). [para(3033(a,1),2904(a,1,1))]. 3066 (1 / (1 / x)) * (x \ y) = K(x \ 1,x) * y. [hyper(1309,a,3034,a),flip(a)]. 3067 T(x,y) * (K(x \ 1,x) * z) = (1 / (1 / T(x,y))) * z. [para(2537(a,1),3034(a,1,2,1))]. 3068 (1 / (1 / x)) * K(y,x) = x * ((x \ K(y,x)) * x). [para(2889(a,1),3034(a,1,2)),flip(a)]. 3069 x * (1 / ((y \ 1) * x)) = K(x,x \ 1) * y. [para(323(a,2),3036(a,1,2))]. 3070 (1 / (1 / x)) * (x \ y) = y * K(x \ 1,x). [hyper(542,a,3037,a),flip(a)]. 3071 ((x \ y) * z) * K(y \ x,x \ y) = (1 / (1 / (x \ y))) * z. [para(2786(a,1),3037(a,1,2))]. 3072 ((1 / (1 / x)) * y) * (1 / x) = (x * y) * (x \ 1). [para(3037(a,1),2830(a,1,1))]. 3073 (x \ 1) \ (K(x,x \ 1) * y) = (((x \ 1) \ 1) \ 1) \ y. [para(813(a,1),3041(a,1,2,1))]. 3074 x * (((x \ (y \ x)) \ 1) \ 1) = ((y \ 1) \ 1) \ x. [para(2401(a,1),3045(a,1,2))]. 3075 (x \ 1) * (K(x,x \ 1) * y) = (1 / x) * y. [para(3048(a,1),14(a,1,2)),flip(a)]. 3076 L(K(x,x \ 1) * y,x \ 1,x) = x * ((1 / x) * y). [para(3050(a,1),460(a,1,1))]. 3077 (1 / x) * (y * K(x \ 1,x)) = (x \ 1) * y. [hyper(228,a,2369,a(flip),b,3053,a(flip)),flip(a)]. 3079 (x \ 1) * (y * K(x,x \ 1)) = (1 / x) * y. [para(2910(a,1),3053(a,1,2)),flip(a)]. 3080 (1 / x) * K(y \ 1,y) = (y \ 1) * (y / x). [para(320(a,1),3054(a,1,2)),flip(a)]. 3081 L(((x \ 1) \ 1) \ y,x,x \ 1) = (x \ 1) * y. [hyper(468,a,3060,a),flip(a)]. 3082 ((1 / (1 / x)) \ y) / (1 / x) = (x \ y) / (x \ 1). [hyper(72,a,3063,a(flip),b,2943,a)]. 3083 (1 / (1 / x)) * (x \ (y * x)) = y * (1 / (1 / x)). [hyper(228,a,2912,a(flip),b,3066,a)]. 3084 (1 / x) * (y * K(1 / x,x)) = (x \ 1) * y. [para(1885(a,2),3077(a,1,2,2))]. 3085 (x \ 1) * (x * (1 / T(x,y))) = (1 / x) * (T(x,y) \ x). [para(2612(a,1),3077(a,1,2)),flip(a)]. 3086 (x \ 1) * (y * K(x,1 / x)) = (1 / x) * y. [para(1839(a,2),3079(a,1,2,2))]. 3088 (x * K(1 / y,y)) * K(y,1 / y) = x. [hyper(17,a,3084,a(flip),b,3086,a)]. 3089 x / K(y,1 / y) = x * K(1 / y,y). [hyper(85,a,3088,a)]. 3090 (((L(x,y,y \ 1) * y) / y) \ ((1 / y) * (x * y))) * ((y * ((1 / y) * (x * y))) / y) = (1 / y) * (x * y). [para(2996(a,1),2586(a,1,1,1,1))]. 3091 L(x * K(y \ 1,y),y,y \ 1) = (y \ 1) * (y * x). [para(3044(a,1),3081(a,1,1))]. 3092 (((x \ 1) \ 1) \ y) * ((x \ 1) \ 1) != y * z | K(x \ y,x) = z. [para(3018(a,2),423(a,1))]. 3093 x * K(y,z) != z * ((z \ K(y,z)) * z) | 1 / (1 / z) = x. [para(3068(a,1),20(a,1)),flip(a)]. 3094 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ (1 / (1 / x))) * y) * (1 / x). [para(239(a,1),3072(a,1,1)),flip(a)]. 3095 ((x \ (y \ x)) \ 1) \ 1 = x \ (((y \ 1) \ 1) \ x). [hyper(77,a,3074,a),flip(a)]. 3096 (((x \ 1) \ 1) \ y) / y = (((x \ y) / y) \ 1) \ 1. [hyper(72,a,3074,a(flip),b,2333,a)]. 3097 (((x / y) \ 1) \ 1) \ x = x * (((x \ y) \ 1) \ 1). [para(64(a,1),3074(a,1,2,1,1,2)),flip(a)]. 3098 ((x * y) * z) * (((((x * y) * z) \ (y * z)) \ 1) \ 1) = ((R(x,y,z) \ 1) \ 1) \ ((x * y) * z). [para(141(a,1),3074(a,1,2,1,1,2))]. 3099 T(x / (1 / (1 / y)),1 / (1 / y)) / (1 / y) = (y \ x) / (y \ 1). [para(115(a,2),3082(a,1,1))]. 3100 (1 / (1 / x)) * T(y,x) = y * (1 / (1 / x)). [para(32(a,2),3083(a,1,2))]. 3101 T(x,1 / (1 / y)) = T(x,y). [hyper(372,a,3100,a),flip(a)]. 3102 T(x,1 / y) = T(x,y \ 1). [para(61(a,1),3101(a,1,2,2))]. 3103 T(x,(y \ 1) \ 1) = T(x,y). [para(138(a,1),3101(a,1,2)),flip(a)]. 3104 x * (((x \ 1) \ y) * (x \ 1)) = T(x * y,1 / x). [hyper(228,a,948,a,b,3102,a),flip(a)]. 3106 (1 / x) * T(y,x \ 1) = y * (1 / x). [para(3102(a,1),113(a,1,2))]. 3107 ((x \ 1) \ 1) * T(y,x) = y * ((x \ 1) \ 1). [para(3103(a,1),113(a,1,2))]. 3111 ((((1 / x) \ y) / y) \ 1) \ 1 = ((x \ 1) \ y) / y. [para(64(a,1),3096(a,1,1,1,1)),flip(a)]. 3112 x / (x * (((x \ y) \ 1) \ 1)) = ((x / y) \ 1) \ 1. [para(3097(a,1),61(a,1,2))]. 3113 x * (((1 / x) \ y) * (1 / x)) = T(x * y,1 / x). [para(3052(a,2),3104(a,1,2))]. 3114 x / (x * ((y \ 1) \ 1)) = ((x / (x * y)) \ 1) \ 1. [para(13(a,1),3112(a,1,2,2,1,1))]. 3115 x / ((((y / x) \ 1) \ 1) * x) = ((x / y) \ 1) \ 1. [para(2333(a,2),3112(a,1,2))]. 3116 x \ T(x * y,1 / x) = ((1 / x) \ y) * (1 / x). [hyper(77,a,3113,a)]. 3117 T(x / (x * y),y) = x / (x * ((y \ 1) \ 1)). [hyper(228,a,2462,a,b,3114,a),flip(a)]. 3118 x / (x * T(y,y \ 1)) = T(x / (x * y),y). [para(114(a,2),3117(a,2,2,2)),flip(a)]. 3119 T(x / (x * y),y) \ x = x * T(y,y \ 1). [para(3118(a,1),64(a,1,1))]. 3120 x / (((y \ 1) \ 1) * x) = ((x / (y * x)) \ 1) \ 1. [para(15(a,1),3115(a,1,2,1,1,1))]. 3121 ((x \ 1) \ 1) * K(y,x) = (x \ 1) \ K(y,x). [hyper(3043,a,3051,a)]. 3122 x * (K(y,x) * K(x,x \ 1)) = (x \ 1) \ K(y,x). [hyper(228,a,3039,a,b,3121,a(flip)),flip(a)]. 3123 x * (x * (K(y,x) / x)) = (x \ 1) \ K(y,x). [para(2952(a,1),3122(a,1,2))]. 3124 x * (T(x,y) \ (x * (K(z,x) / x))) = T(x,y) \ ((x \ 1) \ K(z,x)). [hyper(71,a,3123,a(flip),b,1054,a),flip(a)]. 3125 L((x \ 1) * ((1 / x) \ y),x,x \ 1) = (x \ 1) * (x * y). [para(3054(a,2),3091(a,1,1))]. 3126 K(T(x,y),T(T(x,y),z) \ 1) = K(T(x,y),1 / T(x,u)). [hyper(228,a,2307,a,b,2964,a(flip))]. 3127 1 / (1 / ((x * y) \ y)) = ((1 / (1 / x)) * y) \ y. [para(3037(a,1),2969(a,1,1)),flip(a)]. 3128 (((1 / (1 / x)) * y) \ y) \ 1 = 1 / ((x * y) \ y). [para(3127(a,1),64(a,1,1))]. 3129 1 / (((x \ 1) * y) \ y) = (((1 / x) * y) \ y) \ 1. [para(61(a,1),3128(a,1,1,1,1,2)),flip(a)]. 3130 ((((1 / x) * y) \ y) \ 1) \ 1 = ((x \ 1) * y) \ y. [para(3129(a,1),64(a,1,1))]. 3131 K(((1 / x) * y) \ y,z) = K(((x \ 1) * y) \ y,z). [para(3130(a,1),2857(a,1,1)),flip(a)]. 3132 ((L(x,y,y \ 1) \ (y * x)) \ 1) \ 1 = ((y \ 1) * (y * x)) \ (y * x). [para(2993(a,1),3130(a,1,1,1,1))]. 3133 K(x \ 1,x) * (y * ((x \ z) \ z)) = y * T(1 / (1 / x),x \ z). [para(114(a,1),2970(a,1,2,2))]. 3134 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(2995(a,2),2038(a,1,1))]. 3135 K(x \ 1,x) * (T(x,y) \ z) = T((x \ 1) \ 1,y) \ z. [para(2321(a,1),3047(a,2,1))]. 3136 T(x,y) * (K(x \ 1,x) * z) = T(1 / (1 / x),y) * z. [para(2324(a,1),3067(a,2,1))]. 3137 L((1 / T(x,y)) * x,x \ 1,x) = ((1 / x) * (T(x,y) \ x)) * x. [para(3085(a,1),1741(a,1,1)),flip(a)]. 3139 K(T(x,y),T(x,y) \ 1) = K(T(x,y),1 / T(x,z)). [hyper(228,a,2960,a(flip),b,3126,a(flip)),flip(a)]. 3140 K(T(x,y),T(x,y) \ 1) = K(T(x,y),x \ 1). [para(199(a,1),3139(a,2,2))]. 3141 K(T(x,y),1 / x) = K(T(x,y),x \ 1). [hyper(228,a,2314,a(flip),b,3140,a(flip)),flip(a)]. 3142 (T(x,y) \ z) * K(x \ 1,x) = T((x \ 1) \ 1,y) \ z. [hyper(2358,a,3135,a)]. 3143 K(x \ 1,x) * (T(1 / (1 / x),y) \ z) = T(x,y) \ z. [hyper(71,a,14,a(flip),b,3136,a),flip(a)]. 3144 (T(x,y) \ z) * K(x,x \ 1) = T(1 / (1 / x),y) \ z. [hyper(2928,a,3143,a)]. 3145 ((x \ 1) \ 1) * (T(x,y) \ z) = x * (T(1 / (1 / x),y) \ z). [para(3143(a,1),3042(a,1,2))]. 3146 (T(x \ 1,y) \ z) * K(x \ 1,x) = T(1 / (1 / (x \ 1)),y) \ z. [para(1845(a,1),3144(a,1,2))]. 3147 L(T(x,y) / x,x,y) = K(1 / (1 / x),y). [para(956(a,1),2854(a,1,1))]. 3148 K(1 / (1 / x),y) = (x * K(x,y)) / x. [hyper(228,a,801,a(flip),b,3147,a(flip))]. 3149 T(K(1 / (1 / x),y),x) = K(x,y). [para(3148(a,2),165(a,1,1))]. 3150 T(K(x,y),x) = K(x,y). [para(2856(a,1),3149(a,1,1))]. 3151 (((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)) = K(y,x). [hyper(2644,a,3150,a)]. 3152 K(T(x,x \ 1),y) = T(K(x,y),x). [hyper(228,a,2861,a,b,3150,a),flip(a)]. 3153 T(K(x,y),x) = K((x \ 1) \ 1,y). [hyper(228,a,2857,a,b,3150,a)]. 3154 T(x,K(x,y)) = x. [hyper(35,a,3150,a)]. 3155 R(K(x,y),z,u) * x = x * R(K(x,y),z,u). [para(3150(a,1),184(a,1,2,1)),flip(a)]. 3156 T(T(x,y),K(x,z)) = T(x,y). [para(3154(a,1),38(a,1,1)),flip(a)]. 3157 T(x,y) * K(x,z) = K(x,z) * T(x,y). [para(3154(a,1),182(a,1,2,1)),flip(a)]. 3158 T(T(T(x,y),z),K(x,u)) = T(T(x,y),z). [para(3154(a,1),116(a,2,1,1))]. 3159 L(x,y,z) * K(x,u) = K(x,u) * L(x,y,z). [para(3154(a,1),183(a,1,2,1)),flip(a)]. 3160 R(x,y,z) * K(x,u) = K(x,u) * R(x,y,z). [para(3154(a,1),184(a,1,2,1)),flip(a)]. 3161 T((x * y) / x,K(y,z)) = (x * y) / x. [para(3154(a,1),417(a,1,1,2)),flip(a)]. 3162 (x * K(y,z)) \ (x * (y * K(y,z))) = L(y,K(y,z),x). [para(3154(a,1),179(a,2,1))]. 3163 K(x,y) * L(x,z,u) != w | L(x,z,u) * K(x,y) = w. [para(3154(a,1),378(a,1,2,1))]. 3165 T(K(x,y),T(x,z)) = K(x,y). [hyper(35,a,3156,a)]. 3166 T(x,y) * K(x,z) != K(x,z) * u | T(x,y) = u. [para(3165(a,1),173(a,1,2)),flip(b)]. 3167 T(x,y) * K(x,z) != u | K(x,z) * T(x,y) = u. [para(3165(a,1),219(a,1,2))]. 3168 T(K(x,y),T(T(x,z),u)) = K(x,y). [hyper(35,a,3158,a)]. 3169 T(K(x,y),(z * x) / z) = K(x,y). [hyper(35,a,3161,a)]. 3170 T(K(x \ y,z),y / x) = K(x \ y,z). [para(14(a,1),3169(a,1,2,1))]. 3171 T(x / y,K(y \ x,z)) = x / y. [hyper(35,a,3170,a)]. 3172 (x * y) * R(K(x * y,z),y,T(x,y)) = (K(x * y,z) * y) * T(x,y). [hyper(762,a,3155,a),flip(a)]. 3173 T(x,R(K(x,y),z,u)) = x. [hyper(172,a,3155,a)]. 3174 K(x,R(K(x,y),z,u)) = 1. [hyper(70,a,3155,a,b,93,a),flip(a)]. 3175 R(K(x,y),z,u) * L(x,w,v5) = L(x,w,v5) * R(K(x,y),z,u). [para(3173(a,1),183(a,1,2,1))]. 3177 x * (T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)) = x / K(y,x). [para(3151(a,1),2625(a,1,2)),flip(a)]. 3178 (x * y) * K(T(x,y),1 / x) = y * ((T(x,y) \ 1) \ 1). [para(2314(a,1),2900(a,1,2))]. 3179 (x * y) * K(T(x,y),1 / x) = ((x \ 1) \ 1) * y. [hyper(228,a,2325,a(flip),b,3178,a)]. 3180 (x * y) * K(T(x,y),x \ 1) = ((x \ 1) \ 1) * y. [para(3141(a,1),3179(a,1,2))]. 3181 K(T(x,y),x \ 1) = K(x,x \ 1). [hyper(17,a,3003,a,b,3180,a)]. 3184 K(T(x,y),T(x,y) \ 1) = K(x,x \ 1). [hyper(228,a,3140,a,b,3181,a(flip)),flip(a)]. 3190 (x * (T(y,z) \ 1)) * K(y,y \ 1) = x * (1 / T(y,z)). [para(3184(a,1),2920(a,1,2))]. 3191 (T(x,y) \ T(x,z)) * K(x,x \ 1) = T(x,z) * (1 / T(x,y)). [para(1080(a,1),3190(a,1,1))]. 3192 ((x \ (x / y)) * z) * K(y,y \ 1) = (1 / (1 / (x \ (x / y)))) * z. [para(2448(a,1),3071(a,1,2))]. 3193 T(x,y) \ T(x,x \ 1) = x * (1 / T(x,y)). [hyper(18,a,2974,a,b,3191,a)]. 3194 T(x,y) \ ((x \ 1) \ 1) = x * (1 / T(x,y)). [hyper(228,a,393,a(flip),b,3193,a(flip)),flip(a)]. 3195 L(T((x \ y) \ z,z \ (x \ y)),x \ y,x) = ((y \ (x * z)) \ 1) \ 1. [para(2436(a,2),2781(a,1,1))]. 3196 K(((x \ 1) \ 1) \ y,(x \ 1) \ 1) = K(x \ y,x). [hyper(3092,a,239,a(flip)),flip(a)]. 3197 ((1 / x) * (T(x,y) \ x)) * x = L(T(x,y) \ x,x \ 1,x). [para(2481(a,1),3137(a,1,1)),flip(a)]. 3198 (x * T(y,z)) / T(T(y,y \ 1),z) = x * K(y \ 1,y). [para(2537(a,1),2876(a,2,2))]. 3199 (x * T(y,z)) / T((y \ 1) \ 1,z) = x * K(y \ 1,y). [para(114(a,1),3198(a,1,2,1))]. 3202 (x * K(y \ 1,y)) * T((y \ 1) \ 1,z) != u | x * T(y,z) = u. [para(3199(a,1),215(a,1,1)),flip(b)]. 3203 (T(x,y) * z) * K(T(T(x,z),y),T(T(x,z),y) \ 1) = z * T((T(x,z) \ 1) \ 1,y). [para(200(a,1),2905(a,1,1)),flip(a)]. 3204 x * (x * (T(x,y) \ (K(z,x) / x))) = T(x,y) \ ((x \ 1) \ K(z,x)). [para(1057(a,1),3124(a,1,2))]. 3205 (x \ (y \ 1)) * T(1 / (1 / y),y \ 1) = K(y \ 1,y) * (x \ 1). [para(119(a,1),3133(a,1,2)),flip(a)]. 3206 (T(x \ 1,y) \ z) * K(x \ 1,x) = T(1 / x,y) \ z. [para(61(a,1),3146(a,2,1,1,2))]. 3207 K(x,x \ 1) * (T(1 / x,y) \ z) = T(x \ 1,y) \ z. [hyper(2936,a,3206,a)]. 3208 T(x \ 1,y) \ (T(1 / x,y) * z) = K(x,x \ 1) * z. [para(13(a,1),3207(a,1,2)),flip(a)]. 3209 T(x \ 1,y) * (K(x,x \ 1) * z) = T(1 / x,y) * z. [para(3208(a,1),14(a,1,2))]. 3210 T(x \ 1,y) * ((x \ 1) \ (K(x,x \ 1) * z)) = T(1 / x,y) * ((x \ 1) \ z). [para(1730(a,2),3209(a,1,2))]. 3211 T(1 / x,y) * ((1 / x) \ z) = T(x \ 1,y) * ((x \ 1) \ z). [para(3019(a,1),3209(a,1,2)),flip(a)]. 3212 (1 / x) * (T(x \ 1,y) * ((x \ 1) \ z)) = T(1 / x,y) * z. [para(3211(a,1),1053(a,1,2))]. 3213 x * (T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)) = K(y,x) \ x. [hyper(228,a,2610,a(flip),b,3177,a)]. 3214 ((x \ (x / (y \ 1))) * z) * K(y \ 1,y) = (1 / (1 / (x \ (x / (y \ 1))))) * z. [para(1845(a,1),3192(a,1,2))]. 3215 K(x \ 1,x) * (y \ 1) = (y \ (x \ 1)) * x. [para(1800(a,1),3205(a,1,2)),flip(a)]. 3216 K(x \ 1,x) * (y \ (z \ 1)) = ((z * y) \ (x \ 1)) * x. [para(118(a,1),3215(a,1,2))]. 3218 (((x * y) \ x) * T(((x * y) \ x) \ 1,x)) / x = 1 / (K(y,x) \ x). [para(3213(a,1),310(a,1,2)),flip(a)]. 3219 1 / (K(x,y) \ y) = K(x,y) / y. [para(934(a,2),3218(a,1,1)),flip(a)]. 3220 (K(x,y) / y) \ 1 = K(x,y) \ y. [para(3219(a,1),64(a,1,1))]. 3221 x * (K(y,x) \ 1) = K(y,x) \ x. [hyper(311,a,3220,a)]. 3222 (K(x,y) \ y) / (K(x,y) \ 1) = y. [hyper(72,a,3220,a(flip),b,120,a(flip))]. 3223 K(x,y) \ y != y * z | K(x,y) \ 1 = z. [para(3221(a,1),19(a,1))]. 3224 (K(x,y) \ 1) \ (K(x,y) \ y) = y. [hyper(228,a,2604,a(flip),b,3222,a(flip)),flip(a)]. 3226 (K(x,y) \ 1) * T(y,z) = K(x,y) \ T(y,z). [para(3224(a,1),921(a,1,2,1))]. 3227 K(x,y) \ T(y,y \ z) = (K(x,y) \ 1) * ((y \ z) \ z). [hyper(228,a,246,a(flip),b,3226,a(flip))]. 3228 (K(x,y) \ 1) * ((y \ z) \ z) = K(x,y) \ ((y \ z) \ z). [hyper(228,a,393,a(flip),b,3227,a(flip))]. 3229 R(K(x,y) \ y,y \ 1,y) = K(x,y) \ ((y \ 1) \ 1). [hyper(228,a,2890,a,b,3228,a(flip)),flip(a)]. 3230 x * (K(x,y) * (K(x,y) \ ((y \ 1) \ 1))) = (T(y,y \ 1) * x) * K(x,y). [para(3229(a,1),2285(a,1,2,2))]. 3231 ((x \ 1) * y) / T(1 / x,y) = K(x \ 1,x) * y. [para(2222(a,1),3029(a,1,2))]. 3232 x * K(((y \ 1) * x) \ (K(y \ 1,y) * x),(y \ 1) * x) = ((1 / y) * T((1 / y) \ 1,(y \ 1) * x)) * x. [para(3231(a,1),2031(a,2,2,1,2)),flip(a)]. 3234 T(x \ (y * z),z \ (y \ x)) = ((x \ (y * z)) \ 1) \ 1. [hyper(228,a,712,a(flip),b,3195,a(flip)),flip(a)]. 3235 K(x,y) = (T(y,y \ 1) * x) \ (x * ((y \ 1) \ 1)). [hyper(558,a,3230,a),flip(a)]. 3236 K(x,(y \ 1) \ 1) = K(x,y). [hyper(228,a,614,a(flip),b,3235,a),flip(a)]. 3238 K(x,y) != z | K(x,(y \ 1) \ 1) = z. [para(3235(a,2),616(a,1))]. 3239 K(((x \ 1) \ 1) \ y,x) = K(x \ y,x). [hyper(228,a,3196,a(flip),b,3236,a(flip))]. 3240 K(x,1 / y) = K(x,y \ 1). [para(64(a,1),3236(a,1,2,1)),flip(a)]. 3241 K(x,(y * (z \ 1)) \ 1) = K(x,z / y). [para(120(a,1),3236(a,1,2,1))]. 3242 K(x,1 / (1 / y)) = K(x,y). [para(142(a,1),3236(a,1,2)),flip(a)]. 3243 K(x,T(y,1 / y)) = K(x,y). [para(1833(a,2),3236(a,1,2))]. 3244 K(x,T(1 / y,z)) = K(x,T(y \ 1,z)). [para(2322(a,1),3236(a,1,2)),flip(a)]. 3245 K(x,T(y / z,y \ z)) = K(x,y / z). [para(2461(a,2),3236(a,1,2))]. 3246 K(x,((1 / y) \ z) / z) = K(x,((y \ 1) \ z) / z). [para(3111(a,1),3236(a,1,2)),flip(a)]. 3250 (1 / x) * K(y,1 / x) = K(y,x \ 1) / x. [para(3240(a,1),2188(a,2,1))]. 3251 (x \ 1) * K(y,x \ 1) = x \ K(y,1 / x). [para(3240(a,2),2527(a,2,2))]. 3253 K(x,L(L(1 / y,z,u),w,v5)) = K(x,L(L(y \ 1,z,u),w,v5)). [para(2778(a,1),3242(a,1,2))]. 3254 K(x \ ((1 / x) \ y),x) = K(x \ ((x \ 1) \ y),x). [para(3049(a,1),3239(a,1,1))]. 3255 K(x * (y \ 1),y / x) = (x * (y \ 1)) * (y / x). [hyper(228,a,1852,a(flip),b,3241,a(flip))]. 3256 K(x,(y \ 1) \ (z \ 1)) = K(x,y / z). [para(118(a,1),3241(a,1,2))]. 3257 ((1 / x) \ y) \ ((1 / x) \ T(y,x)) = K(x \ ((x \ 1) \ y),x). [hyper(228,a,972,a,b,3254,a(flip)),flip(a)]. 3258 K(x \ 1,x) * R(y * T(x,x \ 1),z,u) = (x \ R(x * y,z,u)) * x. [para(2902(a,1),2939(a,1,2,1))]. 3259 K(x \ 1,x) * L(y * T(x,x \ 1),z,u) = (x \ L(x * y,z,u)) * x. [para(2902(a,1),2940(a,1,2,1))]. 3260 K(x \ 1,x) * L(y * K(x,x \ 1),z,u) = (x \ L(x * (y / x),z,u)) * x. [para(2903(a,1),3259(a,1,2,1))]. 3261 R((x \ (1 / (1 / y))) * x,1 / y,(1 / y) \ 1) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). [hyper(228,a,397,a,b,3094,a),flip(a)]. 3262 T(x \ 1,y) * ((((x \ 1) \ 1) \ 1) \ z) = T(1 / x,y) * ((x \ 1) \ z). [para(3073(a,1),3210(a,1,2))]. 3263 T(x \ 1,y) * (T(x \ 1,(x \ 1) \ 1) \ z) = T(1 / x,y) * ((x \ 1) \ z). [para(114(a,2),3262(a,1,2,1))]. 3264 ((x \ (x / (y \ 1))) * z) * K(y \ 1,y) = (x \ (x / (1 / y))) * z. [para(2842(a,1),3214(a,2,1))]. 3265 R(K(x \ (x / ((y \ x) / T(x,y))),x),x \ 1,x) = L(T(x,y) \ x,x \ 1,x). [hyper(228,a,3197,a(flip),b,2835,a)]. 3266 R(T(x,y) \ x,x \ 1,x) = L(T(x,y) \ x,x \ 1,x). [para(2488(a,1),3265(a,1,1))]. 3267 L(T(x,y) \ x,x \ 1,x) = T(x,y) \ x. [hyper(2891,a,3266,a),flip(a)]. 3268 L(T(x,y) \ x,T(x,y),y) = L((x * y) \ (y * x),x \ 1,x). [para(3267(a,1),860(a,1,1))]. 3269 L((x * y) \ (y * x),x \ 1,x) = (x * y) \ (y * x). [hyper(228,a,465,a(flip),b,3268,a(flip))]. 3270 K(x,y) = L((y * x) \ (x * y),y \ 1,y). [hyper(228,a,26,a,b,3269,a),flip(a)]. 3271 L(K(x,y),y \ 1,y) = K(x,y). [para(26(a,2),3270(a,2,1)),flip(a)]. 3272 (x \ 1) * K(y,x) = x \ K(y,x). [hyper(71,a,3271,a(flip),b,190,a),flip(a)]. 3273 ((x * (y \ 1)) * K(z,y)) / (y \ K(z,y)) = R(x,y \ 1,K(z,y)). [para(3272(a,1),30(a,2,2)),flip(a)]. 3274 (T(x,y) * z) * K(T(T(x,z),y),T(T(x,z),y) \ 1) = z * T(T((x \ 1) \ 1,z),y). [para(2321(a,1),3203(a,2,2,1))]. 3275 (T(x,y) * z) * K(T(T(x,z),y),T(T(x,z),y) \ 1) = T((x \ 1) \ 1,y) * z. [hyper(228,a,182,a(flip),b,3274,a)]. 3276 (T(x,y) * z) * K(T(x,z),T(x,z) \ 1) = T((x \ 1) \ 1,y) * z. [para(3184(a,1),3275(a,1,2))]. 3277 (T(x,y) * z) * K(x,x \ 1) = T((x \ 1) \ 1,y) * z. [para(3184(a,1),3276(a,1,2))]. 3279 T(x,x \ 1) * (T(x,y) * z) = x * (T((x \ 1) \ 1,y) * z). [para(3277(a,1),3004(a,1,2)),flip(a)]. 3281 (1 / x) * (T(((1 / x) \ 1) \ 1,y) * z) = (x \ 1) * (T(1 / x,y) * z). [para(583(a,1),3279(a,1,1)),flip(a)]. 3282 (1 / x) * (T(x \ 1,y) * z) = (x \ 1) * (T(1 / x,y) * z). [para(64(a,1),3281(a,1,2,1,1,1))]. 3283 K(x \ 1,x) * (T(1 / x,y) * z) = T(x \ 1,y) * z. [hyper(17,a,3053,a,b,3282,a),flip(a)]. 3284 (T(1 / x,y) * z) / (T(1 / x,y) * ((x \ 1) \ z)) = x \ 1. [hyper(72,a,3212,a(flip),b,3282,a(flip))]. 3285 ((x \ 1) \ 1) * (T(x \ 1,y) * z) = x * (T(1 / x,y) * z). [para(3283(a,1),3042(a,1,2))]. 3286 (x * T(1 / x,y)) \ (x * (T(1 / x,y) * z)) = L(z,T(x \ 1,y),(x \ 1) \ 1). [para(3285(a,1),2615(a,1,2))]. 3287 L(x,T(y \ 1,z),(y \ 1) \ 1) != u | L(x,T(1 / y,z),y) = u. [para(3286(a,1),456(a,1))]. 3288 K(T(x,y) \ 1,T(x,y)) * (z / T(1 / (1 / x),y)) = z / ((1 / T(x,y)) \ 1). [para(1884(a,1),2951(a,1,1))]. 3289 K(x \ 1,x) * (y / T(1 / (1 / x),z)) = y / ((1 / T(x,z)) \ 1). [para(2537(a,1),3288(a,1,1))]. 3290 K(x \ 1,x) * (y / T(1 / (1 / x),z)) = y / T(x,z). [para(64(a,1),3289(a,2,2))]. 3294 ((x \ 1) \ 1) * (y / T(x,z)) = x * (y / T(1 / (1 / x),z)). [para(3290(a,1),3042(a,1,2))]. 3295 K(T(x / y,T(y,x)) \ 1,T(x / y,T(y,x))) = K(x \ y,T(x / y,T(y,x))). [para(1087(a,1),2806(a,2,1))]. 3296 K(T(x / y,T(y,x)) \ 1,T(x / y,T(y,x))) = K(x \ y,y \ x). [hyper(228,a,2473,a(flip),b,3295,a)]. 3297 K((x / y) \ 1,x / y) = K(x \ y,y \ x). [hyper(228,a,2652,a(flip),b,3296,a(flip)),flip(a)]. 3298 K(x / y,(x / y) \ 1) = K(y \ x,x \ y). [hyper(2959,a,3297,a)]. 3300 K(x / y,y / x) = K(y \ x,x \ y). [hyper(228,a,2956,a(flip),b,3297,a(flip)),flip(a)]. 3301 K(1 / (x \ y),x \ y) = K(x / y,y / x). [hyper(228,a,2785,a,b,3300,a),flip(a)]. 3302 K(x / (y * x),(x / (y * x)) \ 1) = K(y \ 1,y). [hyper(228,a,2966,a(flip),b,3298,a)]. 3303 x * K(x / y,(x / y) \ 1) = y * (((y \ x) \ 1) \ 1). [para(3298(a,2),2790(a,1,2))]. 3304 K(x \ 1,x) * (y / (x * y)) = ((y / (x * y)) \ 1) \ 1. [para(3302(a,1),1813(a,1,1))]. 3305 R(x \ 1,x,y) = ((y / (x * y)) \ 1) \ 1. [hyper(228,a,2916,a(flip),b,3304,a(flip)),flip(a)]. 3306 R(x \ 1,x,y) = y / (((x \ 1) \ 1) * y). [hyper(228,a,3120,a,b,3305,a)]. 3307 R(R(x,y,z) \ 1,R(x,y,z),y * z) = (((y * z) / ((x * y) * z)) \ 1) \ 1. [para(109(a,1),3305(a,2,1,1,2))]. 3309 R(x \ 1,x,y) \ y = ((x \ 1) \ 1) * y. [para(3306(a,2),64(a,1,1))]. 3310 T(R(x \ 1,x,y),((x \ 1) \ 1) * y) = (((x \ 1) \ 1) * y) \ y. [para(3306(a,2),115(a,1,1))]. 3311 x / (T(y,y \ 1) * x) = R(y \ 1,y,x). [para(114(a,2),3306(a,2,2,1)),flip(a)]. 3312 R(x,1 / x,y) \ y = (((1 / x) \ 1) \ 1) * y. [para(64(a,1),3309(a,1,1,1))]. 3313 R(x,1 / x,y) \ y = (x \ 1) * y. [para(64(a,1),3312(a,2,1,1))]. 3314 R(x,1 / x,y) = y / ((x \ 1) * y). [para(3313(a,1),61(a,1,2)),flip(a)]. 3315 R(x,1 / x,y) = R(x,x \ 1,y). [hyper(228,a,159,a,b,3314,a)]. 3316 L(R(x,x \ 1,y),x \ 1,x) = R(1 / (1 / x),1 / x,y). [para(3315(a,1),1823(a,1,1))]. 3317 R(1 / (1 / x),1 / x,y) = R(1 / (1 / x),x \ 1,y). [hyper(228,a,1823,a(flip),b,3316,a(flip))]. 3318 R(1 / (1 / x),x \ 1,(1 / x) \ y) = ((1 / x) \ y) / y. [hyper(228,a,361,a(flip),b,3317,a(flip))]. 3319 ((1 / x) \ y) \ (y * R(1 / (1 / x),x \ 1,(1 / x) \ y)) = K(y,((1 / x) \ y) / y). [para(3318(a,2),96(a,1,2,2))]. 3320 R(T(x \ 1,((x \ 1) \ 1) * y),x,y) = (((x \ 1) \ 1) * y) \ y. [hyper(228,a,42,a,b,3310,a(flip)),flip(a)]. 3321 R(T(x \ 1,x * y),x,y) = (((x \ 1) \ 1) * y) \ y. [para(3002(a,1),3320(a,1,1))]. 3322 T((x * y) \ y,x) = (((x \ 1) \ 1) * y) \ y. [hyper(228,a,1037,a(flip),b,3321,a(flip)),flip(a)]. 3323 (T(x,x \ 1) * y) \ y = T((x * y) \ y,x). [para(114(a,2),3322(a,2,1,1)),flip(a)]. 3324 ((((x * y) / ((z * x) * y)) \ 1) \ 1) * ((z * x) * y) = ((R(z,x,y) \ 1) * R(z,x,y)) * (x * y). [para(3307(a,1),493(a,1,1))]. 3325 ((1 / x) \ y) \ (y * R(1 / (1 / x),x \ 1,(1 / x) \ y)) = K(y,((x \ 1) \ y) / y). [hyper(228,a,3246,a(flip),b,3319,a)]. 3326 ((x * y) * z) * (((((x * y) * z) \ (y * z)) \ 1) \ 1) = ((R(x,y,z) \ 1) * R(x,y,z)) * (y * z). [hyper(2404,a,3324,a)]. 3327 R((x \ (x / (1 / y))) * x,y \ 1,y) = (x * ((y \ 1) * T((y \ 1) \ 1,x))) * y. [para(3264(a,1),2836(a,1,1))]. 3328 R((x \ (x / (1 / y))) * x,y \ 1,y) = (x * (y \ T(y,x))) * y. [para(920(a,1),3327(a,2,1,2))]. 3329 R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)) = ((x * y) * (1 / z)) / (y * (1 / z)). [para(2920(a,1),2945(a,1,2)),flip(a)]. 3330 R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)) = R(x,y,1 / z). [hyper(228,a,30,a,b,3329,a)]. 3331 R(1 / x,y,1 / x) = R(1 / x,y,x \ 1). [hyper(228,a,2239,a(flip),b,3330,a(flip))]. 3332 R(R(x,y,(z \ 1) \ 1),y * T(z,z \ 1),K(z \ 1,(z \ 1) \ 1)) = R(x,y,1 / (z \ 1)). [para(114(a,2),3330(a,1,2,2))]. 3333 R(R(x,y,(z \ 1) \ 1),y * T(z,z \ 1),K(z \ 1,z)) = R(x,y,1 / (z \ 1)). [para(1845(a,1),3332(a,1,3))]. 3334 R(R(x,y,(z \ 1) \ 1),y * T(z,z \ 1),K(z \ 1,z)) = R(x,y,z). [para(61(a,1),3333(a,2,3))]. 3335 R((1 / x) * T((1 / x) \ 1,y),K(x \ 1,x),z) = (1 / x) * T((1 / x) \ 1,y). [para(3012(a,1),3013(a,2,2,1,1))]. 3336 R((1 / x) * T((1 / x) \ 1,y),K(x \ 1,x),z) = x \ T(x,y). [hyper(228,a,2557,a(flip),b,3335,a)]. 3338 R(x \ T(x,y),K(x \ 1,x),z) = x \ T(x,y). [para(2557(a,1),3336(a,1,1))]. 3339 (x \ T(x,y)) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,T(x,y)) * z. [para(3338(a,1),2597(a,1,1))]. 3340 (x \ T(x,y)) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,x) * z. [para(2594(a,1),3339(a,2,1))]. 3342 (x \ T(x,y)) * (K(x \ 1,x) * z) = ((x \ 1) * T(x,y)) * z. [para(3340(a,1),14(a,1,2))]. 3344 (x \ T(x,y)) * (z * K(x \ 1,x)) = ((x \ 1) * T(x,y)) * z. [hyper(228,a,2369,a(flip),b,3342,a(flip)),flip(a)]. 3345 L(L(x,y,1 / z),(1 / z) * y,K(z \ 1,z)) = ((z \ 1) * y) \ ((z \ 1) * (y * x)). [para(2987(a,1),3030(a,1,2)),flip(a)]. 3346 L(L(x,y,1 / z),(1 / z) * y,K(z \ 1,z)) != u | L(x,y,z \ 1) = u. [para(3345(a,2),456(a,1))]. 3347 (L(x,y,y \ 1) \ ((1 / y) * (x * y))) * ((y * ((1 / y) * (x * y))) / y) = (1 / y) * (x * y). [para(15(a,1),3090(a,1,1,1))]. 3349 x * ((y * ((1 / y) * (z * y))) / y) != (1 / y) * (z * y) | L(z,y,y \ 1) \ ((1 / y) * (z * y)) = x. [para(3347(a,1),20(a,1)),flip(a)]. 3350 T((x \ 1) * (x * ((y * z) / y)),y) = T(1 / x,y) * L(T(1 / x,y) \ z,x \ 1,x). [para(3125(a,1),3134(a,1,1))]. 3351 x * K(((y \ 1) * x) \ (K(y \ 1,y) * x),(y \ 1) * x) = (y \ T(y,(y \ 1) * x)) * x. [para(2557(a,1),3232(a,2,1))]. 3352 R((x \ (1 / (1 / y))) * x,y \ 1,y) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). [para(2954(a,1),3261(a,1,1))]. 3353 (((x * y) * z) * L(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * L(R(x,y,z) \ 1,u,w). [para(30(a,2),1653(a,2,2,1,1))]. 3354 (((x * y) * L((x * y) \ y,z,u)) * w) / (y * w) = R(x,y,w) * L(R(x,y,w) \ 1,z,u). [para(1594(a,1),3353(a,1,1))]. 3355 (((x * L(x \ 1,y,z)) * u) * w) / (u * w) = R(x,u,w) * L(R(x,u,w) \ 1,y,z). [para(1624(a,1),3354(a,1,1,1))]. 3356 R(x,y,z) * L(R(x,y,z) \ 1,u,w) = R(x * L(x \ 1,u,w),y,z). [hyper(489,a,3355,a),flip(a)]. 3357 R(x,y,z) * L(R(x,y,z) \ 1,u,w) != v5 | R(x * L(x \ 1,u,w),y,z) = v5. [para(3355(a,1),489(a,1))]. 3358 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(1670(a,1),3356(a,1,2))]. 3359 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(12(a,1),3358(a,1,2,2)),flip(a)]. 3360 R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = R(a(R(x,y,z),1 / x,x),y,z). [para(2709(a,1),3359(a,1,1)),flip(a)]. 3361 R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = R(K(R(x,y,z),x \ 1),y,z). [para(2706(a,1),3360(a,2,1))]. 3362 R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = K(R(x,y,z),R(x,y,z) \ 1). [hyper(228,a,2749,a(flip),b,3361,a)]. 3363 (R(x,y,z) / x) \ (1 / x) = 1 / R(x,y,z). [hyper(17,a,1841,a(flip),b,3362,a)]. 3364 R(1 / (1 / x),y,z) \ 1 = 1 / R(x,y,z). [hyper(228,a,1679,a,b,3363,a(flip)),flip(a)]. 3365 R(1 / (1 / x),y,z) = 1 / (1 / R(x,y,z)). [para(3364(a,1),61(a,1,2)),flip(a)]. 3366 1 / R(x \ 1,y,z) = R(1 / x,y,z) \ 1. [para(61(a,1),3364(a,1,1,1,2)),flip(a)]. 3367 1 / R((x \ 1) \ 1,y,z) = R(x,y,z) \ 1. [para(138(a,1),3364(a,1,1,1)),flip(a)]. 3368 1 / (1 / R(x \ 1,y,z)) = R(1 / x,y,z). [para(61(a,1),3365(a,1,1,2)),flip(a)]. 3369 (R(1 / x,y,z) \ 1) \ 1 = R(x \ 1,y,z). [para(3366(a,1),64(a,1,1))]. 3370 R((x \ 1) \ 1,y,z) = (R(x,y,z) \ 1) \ 1. [para(3367(a,1),64(a,1,1)),flip(a)]. 3371 T(x,R(1 / y,z,u)) = T(x,R(y \ 1,z,u)). [para(3368(a,1),3101(a,1,2))]. 3372 R(((x / y) \ 1) \ 1,y,y \ 1) = ((x * (y \ 1)) \ 1) \ 1. [para(495(a,1),3370(a,2,1,1))]. 3373 R(((x / y) \ 1) \ 1,y,z) * (y * z) = (y * z) * ((((y * z) \ (x * z)) \ 1) \ 1). [para(3370(a,2),2334(a,1,1))]. 3374 R(((x / (1 / y)) \ 1) \ 1,y \ 1,y) = ((x * y) \ 1) \ 1. [para(2816(a,1),3370(a,2,1,1))]. 3375 T(x,R((y \ 1) \ 1,z,u)) = T(x,R(y,z,u)). [para(3370(a,2),3103(a,1,2))]. 3376 T(x,R((y * K(z \ 1,z)) \ 1,u,w)) = T(x,R(K(z,z \ 1) / y,u,w)). [para(1890(a,1),3371(a,1,2,1)),flip(a)]. 3377 T(x * y,x \ (1 / y)) = ((x * y) \ 1) \ 1. [hyper(228,a,2834,a,b,3374,a(flip)),flip(a)]. 3378 T(x,R(K(y,y \ 1) / z,u,w)) = T(x,R(z \ K(y,y \ 1),u,w)). [para(2373(a,1),3376(a,1,2,1)),flip(a)]. 3379 (x * y) * ((((x * y) \ (z * y)) \ 1) \ 1) = ((((z / x) \ 1) \ 1) * x) * y. [hyper(221,a,3373,a),flip(a)]. 3380 (x * y) * ((((x * y) \ (z * y)) \ 1) \ 1) = (x * (((x \ z) \ 1) \ 1)) * y. [para(2333(a,1),3379(a,2,1))]. 3381 ((R(x,y,z) \ 1) * R(x,y,z)) * (y * z) = ((x * y) * ((((x * y) \ y) \ 1) \ 1)) * z. [hyper(228,a,3326,a(flip),b,3380,a(flip)),flip(a)]. 3382 ((R(x,y,z) \ 1) \ 1) \ ((x * y) * z) = ((x * y) * ((((x * y) \ y) \ 1) \ 1)) * z. [hyper(228,a,3098,a(flip),b,3380,a(flip)),flip(a)]. 3383 R((x \ 1) \ 1,y,z) \ ((x * y) * z) = ((x * y) * ((((x * y) \ y) \ 1) \ 1)) * z. [para(3370(a,2),3382(a,1,1))]. 3384 R((x \ 1) \ 1,y,z) \ ((x * y) * z) = (y * K(x \ 1,x)) * z. [para(2968(a,1),3383(a,2,1))]. 3385 (((x * (y \ 1)) \ 1) \ 1) \ (((x / y) * y) * (y \ 1)) = (y * K((x / y) \ 1,x / y)) * (y \ 1). [para(3372(a,1),3384(a,1,1))]. 3386 ((R(x,y,z) \ 1) * R(x,y,z)) * (y * z) = (y * K(x \ 1,x)) * z. [para(2968(a,1),3381(a,2,1))]. 3387 (((x * (y \ 1)) \ 1) \ 1) \ (x * (y \ 1)) = (y * K((x / y) \ 1,x / y)) * (y \ 1). [para(16(a,1),3385(a,1,2,1))]. 3388 (x * K((y / x) \ 1,y / x)) * (x \ 1) = K((y * (x \ 1)) \ 1,y * (x \ 1)). [hyper(1190,a,3387,a),flip(a)]. 3390 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(2288(a,1),1154(a,1,1,2))]. 3391 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(16(a,1),3390(a,1,1,2))]. 3393 ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1) = K(x \ 1,R(x,y,z)). [para(1149(a,1),3391(a,1,1)),flip(a)]. 3395 K(x \ 1,R(x,y,z)) \ (x \ 1) = (x \ R(x,y,z)) / R(x,y,z). [para(3393(a,1),2711(a,1,1))]. 3396 (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) = K(x \ 1,R(x,y,z)) \ 1. [hyper(71,a,3395,a(flip),b,2676,a)]. 3397 K(x \ 1,R(x,y,z)) \ 1 = K(R(x,y,z),x \ 1). [hyper(2300,a,3396,a),flip(a)]. 3398 K(R(x,y,z),x \ 1) \ 1 = K(x \ 1,R(x,y,z)). [para(3397(a,1),2465(a,1,1))]. 3399 x * T(x \ 1,R(x,y,z)) = K(x \ 1,R(x,y,z)). [hyper(2710,a,3398,a)]. 3400 R(x,y,z) \ R(1 / (1 / x),y,z) = K(x \ 1,R(x,y,z)). [hyper(228,a,2658,a,b,3399,a(flip)),flip(a)]. 3401 R(K(x \ 1,R(x,y,z)),y,z) = K(R(x,y,z) \ 1,R(x,y,z)). [para(3399(a,1),2260(a,1,1))]. 3402 R(x,y,z) * K(x \ 1,R(x,y,z)) = R(1 / (1 / x),y,z). [para(3400(a,1),14(a,1,2))]. 3403 R(x,y,z) * K(x \ 1,R(x,y,z)) = 1 / (1 / R(x,y,z)). [hyper(228,a,3365,a(flip),b,3402,a)]. 3404 K(R(x,y,z) \ 1,R(x,y,z)) = K(x \ 1,R(x,y,z)). [hyper(17,a,1809,a,b,3403,a),flip(a)]. 3405 (R(x,y,z) \ 1) * R(x,y,z) = K(x \ 1,R(x,y,z)). [hyper(348,a,3404,a)]. 3406 K(((x / y) / z) \ 1,R((x / y) / z,z,y)) = K((x / (z * y)) \ 1,R((x / y) / z,z,y)). [para(226(a,1),3404(a,1,1,1)),flip(a)]. 3407 K(x \ 1,R(x,y,z)) != u | K(R(x,y,z) \ 1,R(x,y,z)) = u. [para(3405(a,1),315(a,1))]. 3408 K(x \ 1,R(x,y,z)) * (y * z) = (y * K(x \ 1,x)) * z. [para(3405(a,1),3386(a,1,1))]. 3409 (x * K(y \ 1,y)) * z != u * (x * z) | K(y \ 1,R(y,x,z)) = u. [para(3408(a,1),20(a,1))]. 3410 K(x,R(x \ 1,y,z)) * (y * z) = (y * K((x \ 1) \ 1,x \ 1)) * z. [para(2857(a,1),3408(a,1,1))]. 3411 K(R(x \ 1,y,z) \ 1,R(x \ 1,y,z)) = R(K(x,R(x \ 1,y,z)),y,z). [para(2857(a,1),3401(a,1,1)),flip(a)]. 3412 K(x,R(x \ 1,y,z)) * (y * z) = (y * K(x,x \ 1)) * z. [para(813(a,1),3410(a,2,1,2))]. 3414 R(K(x,R(x \ 1,y,z)),y,z) = K((x \ 1) \ 1,R(x \ 1,y,z)). [hyper(228,a,3404,a(flip),b,3411,a(flip))]. 3415 R(K(x,R(x \ 1,y,z)),y,z) = K(x,R(x \ 1,y,z)). [hyper(228,a,2857,a(flip),b,3414,a)]. 3416 (K(x,R(x \ 1,y,z)) * y) * z = K(x,R(x \ 1,y,z)) * (y * z). [para(3415(a,1),109(a,1,1)),flip(a)]. 3417 L(x,y,K(z,R(z \ 1,y,x))) = x. [hyper(445,a,3416,a)]. 3418 K(x,R(x \ 1,y,z)) * y = y * K(x,x \ 1). [hyper(18,a,3412,a(flip),b,3416,a)]. 3419 K(x,R(x \ 1,y,z)) = K(x,x \ 1). [hyper(18,a,2341,a,b,3418,a)]. 3422 (x * K(y,y \ 1)) * z = K(y,y \ 1) * (x * z). [para(3419(a,1),3412(a,1,1)),flip(a)]. 3423 L(x,y,K(z,z \ 1)) = x. [para(3419(a,1),3417(a,1,3))]. 3428 R(T(x,y * K(z,z \ 1)),y,K(z,z \ 1)) = T(x,y). [hyper(228,a,2712,a,b,3423,a(flip)),flip(a)]. 3429 (K(x,x \ 1) * y) \ (K(x,x \ 1) * z) = y \ z. [hyper(228,a,102,a(flip),b,3423,a(flip)),flip(a)]. 3430 (K(x,x \ 1) * y) * z = K(x,x \ 1) * (y * z). [para(3423(a,1),100(a,1,2))]. 3431 K(x,x \ 1) * (1 / y) = K(x,x \ 1) / y. [para(3423(a,1),388(a,1,2)),flip(a)]. 3432 (K(x,x \ 1) * y) / z = K(x,x \ 1) * (y / z). [para(3423(a,1),506(a,1,2))]. 3433 L(x,y,K(z,1 / z)) = x. [para(1839(a,2),3423(a,1,3))]. 3434 L(x,y,K(z \ 1,z)) = x. [para(1845(a,1),3423(a,1,3))]. 3435 ((x \ 1) \ 1) / (y \ x) = K(x,x \ 1) * y. [para(3423(a,1),1825(a,1,2))]. 3436 K(x,x \ 1) * ((x \ 1) / y) = (1 / x) / y. [para(3423(a,1),1873(a,1,2)),flip(a)]. 3437 L(x,y,K(z \ u,u \ z)) = x. [para(2443(a,1),3423(a,1,3))]. 3439 (K(x,1 / x) * y) * z = K(x,1 / x) * (y * z). [para(3433(a,1),100(a,1,2))]. 3440 K(x,1 / x) * (1 / y) = K(x,1 / x) / y. [para(3433(a,1),388(a,1,2)),flip(a)]. 3441 L(x,y,1 / z) = L(x,y,z \ 1). [hyper(3346,a,3434,a),flip(a)]. 3443 R(T(x,y * K(z \ 1,z)),y,K(z \ 1,z)) = T(x,y). [hyper(228,a,2713,a,b,3434,a(flip)),flip(a)]. 3444 (K(x \ 1,x) * y) \ (K(x \ 1,x) * z) = y \ z. [hyper(228,a,102,a(flip),b,3434,a(flip)),flip(a)]. 3445 (K(x \ 1,x) * y) * z = K(x \ 1,x) * (y * z). [para(3434(a,1),100(a,1,2))]. 3446 K(x \ 1,x) * (1 / y) = K(x \ 1,x) / y. [para(3434(a,1),388(a,1,2)),flip(a)]. 3447 (K(x \ 1,x) * y) / z = K(x \ 1,x) * (y / z). [para(3434(a,1),506(a,1,2))]. 3448 (x * K(y \ 1,y)) * z = K(y \ 1,y) * (x * z). [para(3434(a,1),2371(a,1,2))]. 3450 (K(x \ y,y \ x) * z) * u = K(x \ y,y \ x) * (z * u). [para(3437(a,1),100(a,1,2))]. 3451 L(x,y,y \ 1) \ ((1 / y) * (x * y)) = L(K(x,y),y * x,y \ 1). [hyper(228,a,2999,a,b,3441,a(flip)),flip(a)]. 3452 L(x,y,(z \ 1) \ 1) = L(x,y,z). [para(61(a,1),3441(a,1,3)),flip(a)]. 3453 L(x,T(1 / y,z),y) = L(x,T(y \ 1,z),y). [hyper(3287,a,3452,a)]. 3454 (1 / x) * K(y,y \ 1) = K(y,y \ 1) / x. [hyper(2347,a,3431,a)]. 3455 K(x,x \ 1) / y != z | (1 / y) * K(x,x \ 1) = z. [para(3431(a,1),2347(a,1))]. 3456 ((x \ 1) \ 1) / (y \ x) = y * K(x,x \ 1). [hyper(228,a,2341,a(flip),b,3435,a)]. 3458 ((x \ 1) / y) * K(x,x \ 1) = (1 / x) / y. [hyper(2347,a,3436,a)]. 3459 (1 / x) * K(y \ 1,y) = K(y \ 1,y) / x. [hyper(2358,a,3446,a)]. 3460 L(T(1 / x,y) \ z,T(x \ 1,y),x) = (x * T(1 / x,y)) \ (x * z). [hyper(228,a,102,a(flip),b,3453,a(flip))]. 3461 (x / y) * K(x,x \ 1) = ((x \ 1) \ 1) / y. [para(64(a,1),3456(a,1,2)),flip(a)]. 3462 (1 / (x \ 1)) / T(y,y \ T(x,x \ 1)) = (y \ ((x \ 1) \ 1)) * K(x \ 1,(x \ 1) \ 1). [para(642(a,1),3458(a,1,1)),flip(a)]. 3463 K(x \ 1,x) / y = (x \ 1) * (x / y). [hyper(228,a,3080,a(flip),b,3459,a(flip))]. 3465 K(x \ 1,x) * (((x \ 1) \ 1) / y) = x / y. [hyper(2917,a,3461,a)]. 3468 (K(x,x \ 1) * (y * z)) / (K(x,x \ 1) * z) = R(y,K(x,x \ 1),z). [hyper(72,a,3422,a(flip),b,109,a)]. 3469 K(x,x \ 1) * ((K(x \ 1,x) * y) * z) = y * z. [para(2908(a,1),3422(a,1,1)),flip(a)]. 3471 (x * K(y \ 1,y)) \ z = x \ (K(y,y \ 1) * z). [para(2923(a,1),3429(a,1,1)),flip(a)]. 3472 (K(x,x \ 1) * y) \ z = y \ (z * K(x \ 1,x)). [para(2923(a,1),3429(a,1,2))]. 3473 (x \ y) \ (K(x,x \ 1) * z) = (((x \ 1) \ 1) \ y) \ z. [para(2982(a,1),3429(a,1,1))]. 3475 K(x,x \ 1) * ((y \ 1) * z) = ((y \ x) * (1 / x)) * z. [para(2950(a,1),3430(a,1,1)),flip(a)]. 3476 (K(x,x \ 1) * (y \ 1)) / z = K(x,x \ 1) * (y \ (1 / z)). [para(304(a,1),3432(a,2,2))]. 3477 R(K(x,x \ 1) * (y / z),z,K(x \ 1,x)) = y / (z * K(x \ 1,x)). [para(3432(a,1),2937(a,1,1))]. 3478 (K(x,1 / x) * y) * z = (y * z) * K(x,1 / x). [hyper(228,a,2351,a(flip),b,3439,a)]. 3479 K(x,1 / x) * ((x \ y) * z) = ((1 / (1 / x)) \ y) * z. [para(3064(a,1),3439(a,1,1)),flip(a)]. 3480 (x * K(y,y \ 1)) \ z = x \ (K(y \ 1,y) * z). [para(2910(a,1),3444(a,1,1)),flip(a)]. 3481 ((x \ 1) * y) \ (K(x \ 1,x) * z) = ((1 / x) * y) \ z. [para(2987(a,1),3444(a,1,1))]. 3483 ((K(x \ 1,x) * (y * z)) * u) / (z * u) = R(K(x \ 1,x) * y,z,u). [para(3445(a,1),30(a,2,1,1)),flip(a)]. 3484 T(K(x \ 1,x) * (y / z),z) = z \ (K(x \ 1,x) * y). [para(3447(a,1),115(a,1,1))]. 3485 K(x \ 1,x) * (x / y) = (1 / (1 / x)) / y. [para(1819(a,1),3447(a,1,1)),flip(a)]. 3486 (x * K(y \ 1,y)) / z = K(y \ 1,y) * (x / z). [para(2353(a,1),3447(a,1,1))]. 3487 (1 / (1 / x)) / T(y,y \ x) = K(x \ 1,x) * (y \ x). [para(199(a,1),3485(a,1,2)),flip(a)]. 3488 K(x \ 1,R(x,y,z)) = K(x \ 1,x). [hyper(3409,a,3448,a)]. 3489 K(x \ 1,x) * (y * T((x \ 1) \ 1,z)) = y * T(x,z). [hyper(3202,a,3448,a),flip(a)]. 3491 (K(x \ 1,x) * (y * (z * u))) \ (((y * K(x \ 1,x)) * z) * u) = a(y * K(x \ 1,x),z,u). [para(3448(a,1),24(a,2,1)),flip(a)]. 3492 (K(x \ 1,x) * (y * z)) \ ((y * K(x \ 1,x)) * (z * u)) = L(u,z,y * K(x \ 1,x)). [para(3448(a,1),28(a,2,1)),flip(a)]. 3493 (x * (y * K(z \ 1,z))) \ (x * (K(z \ 1,z) * (y * u))) != w | L(u,y * K(z \ 1,z),x) = w. [para(3448(a,1),456(a,1,2,2))]. 3494 (K(x \ 1,x) * (y * ((1 / x) * z))) / ((x \ 1) * z) = R(y,K(x \ 1,x),(1 / x) * z). [para(3448(a,1),3028(a,1,1))]. 3495 K(R(x,y,z) \ 1,R(x,y,z)) = K(x \ 1,x). [hyper(3407,a,3488,a)]. 3496 K(((x / y) / z) \ 1,(x / y) / z) = K(((x / y) / z) \ 1,x / (z * y)). [para(226(a,1),3488(a,1,2)),flip(a)]. 3497 (x \ R(x,y,z)) * K(x \ 1,x) = (x \ 1) * R(x,y,z). [para(3488(a,1),1150(a,1,2))]. 3500 K(x \ 1,x) * (1 / R(x,y,z)) = R(x,y,z) \ 1. [para(3495(a,1),1806(a,1,1))]. 3501 (x * K(y \ 1,y)) \ (z * K(y \ 1,y)) = x \ z. [para(2923(a,1),3471(a,2,2))]. 3502 (x * K(y,1 / y)) / z = K(y,1 / y) * (x / z). [hyper(72,a,87,a(flip),b,3478,a)]. 3504 x \ (K(y \ 1,y) * (x * ((1 / y) * z))) != u | L((y \ 1) * z,K(y,y \ 1),x) = u. [para(3480(a,1),3058(a,1))]. 3505 (1 / x) \ (1 / R(x,y,z)) = (x \ 1) \ (R(x,y,z) \ 1). [hyper(71,a,3500,a(flip),b,3024,a),flip(a)]. 3506 T(x,x \ y) = ((x \ y) * K(z \ 1,z)) \ (y * K(z \ 1,z)). [hyper(228,a,114,a,b,3501,a),flip(a)]. 3507 R(x / (y / K(z,1 / z)),y / K(z,1 / z),K(z,1 / z)) = K(z,1 / z) * (x / y). [hyper(228,a,497,a,b,3502,a(flip)),flip(a)]. 3510 R(T(x,y / (1 / z)),y / (z \ 1),K(z \ 1,z)) = T(x,y / (z \ 1)). [para(2826(a,1),3443(a,1,1,2))]. 3511 K(x * y,(x * y) \ 1) * ((x \ 1) * z) = (y * (1 / (x * y))) * z. [para(13(a,1),3475(a,2,1,1))]. 3512 K(x,x \ 1) * y != ((z \ x) * (1 / x)) * u | (z \ 1) * u = y. [para(3475(a,1),19(a,1)),flip(a)]. 3513 (x \ T(x,(x \ 1) * y)) * y = y * K(((1 / x) * y) \ y,(x \ 1) * y). [para(3481(a,1),3351(a,1,2,1)),flip(a)]. 3514 T((x \ 1) * (x * ((y * (x \ z)) / y)),y) = y \ (K(x \ 1,x) * (y * ((1 / x) * z))). [para(3055(a,1),3484(a,1,1))]. 3515 (1 / x) * R(x,y,z) = x \ R(x,y,z). [hyper(18,a,3027,a,b,3497,a),flip(a)]. 3517 R(x,y,z) / x = x \ R(x,y,z). [hyper(228,a,1666,a(flip),b,3515,a(flip)),flip(a)]. 3518 (x \ R(x,y,z)) * x = R(x,y,z). [para(3517(a,1),16(a,1,1))]. 3519 (x \ R(x,y,z)) \ 1 = x * (R(x,y,z) \ 1). [para(3517(a,1),120(a,1,1))]. 3520 R(x \ R(x,y,z),x,y * z) = ((x * y) * z) / (x * (y * z)). [para(3517(a,1),503(a,1,1))]. 3521 T(x,x \ R(x,y,z)) = x. [hyper(266,a,3518,a)]. 3522 (x \ R(x,y,z)) \ 1 = R(x,y,z) \ x. [hyper(228,a,1225,a(flip),b,3519,a)]. 3523 (x \ 1) \ (R(x,y,z) \ 1) = R(x,y,z) \ x. [hyper(228,a,1151,a,b,3522,a(flip)),flip(a)]. 3524 T(R(x,y,z) \ x,x \ 1) = R(x,y,z) \ x. [hyper(383,a,3523,a)]. 3525 K(R(x,y,z) \ x,x \ 1) = 1. [hyper(36,a,3524,a)]. 3526 (1 / x) \ (1 / R(x,y,z)) = R(x,y,z) \ x. [hyper(228,a,3523,a(flip),b,3505,a)]. 3527 x / R(x,y,z) = R(x,y,z) \ x. [hyper(228,a,320,a(flip),b,3526,a(flip)),flip(a)]. 3528 (R(x,y,z) \ x) * R(x,y,z) = x. [para(3527(a,1),16(a,1,1))]. 3529 R((x / y) / z,z,y) \ ((x / y) / z) = ((x / y) / z) / (x / (z * y)). [para(226(a,1),3527(a,1,2)),flip(a)]. 3530 (x * K(y \ z,z \ y)) * u = K(y \ z,z \ y) * (x * u). [para(2459(a,1),3450(a,1,1))]. 3531 K(x,x \ 1) * (y \ (1 / z)) = ((y \ x) * (1 / x)) / z. [para(2950(a,1),3476(a,1,1)),flip(a)]. 3532 T((R(x \ R(x,y,z),x,y * z) \ 1) \ 1,x * (y * z)) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(3520(a,2),2326(a,1,1,1,1))]. 3533 (1 / x) * K(y \ z,z \ y) = K(y \ z,z \ y) / x. [hyper(72,a,63,a(flip),b,3530,a),flip(a)]. 3534 (x * K(y \ z,z \ y)) * (x \ 1) != u | K(y \ z,z \ y) = u. [para(3530(a,2),154(a,1)),flip(b)]. 3535 K(x * y,y \ (x \ 1)) * ((x \ 1) * z) = (y * (1 / (x * y))) * z. [para(118(a,1),3511(a,1,1,2))]. 3536 R(x,K(y,y \ 1),z) = R(x,z,K(y,y \ 1)). [hyper(228,a,2421,a(flip),b,3468,a(flip))]. 3537 R(x,y,K(z \ 1,(z \ 1) \ 1)) = R(x,K(z \ 1,z),y). [para(1845(a,1),3536(a,1,2)),flip(a)]. 3538 R(x,K(y \ 1,y),z) = R(x,z,K(y \ 1,y)). [para(1845(a,1),3537(a,1,3)),flip(a)]. 3539 (K(x \ 1,x) * ((y * z) * u)) / (z * u) = R(K(x \ 1,x) * y,z,u). [para(3445(a,1),3483(a,1,1))]. 3540 ((x / y) / z) / (x / (z * y)) = (x / (z * y)) \ ((x / y) / z). [para(226(a,1),3529(a,1,1)),flip(a)]. 3541 K(x \ 1,x) * (((y * z) * u) / (z * u)) = R(K(x \ 1,x) * y,z,u). [hyper(228,a,3447,a(flip),b,3539,a(flip)),flip(a)]. 3542 R(K(x \ 1,x) * y,z,u) = K(x \ 1,x) * R(y,z,u). [para(30(a,2),3541(a,1,2)),flip(a)]. 3543 R(K(x \ 1,x) * (y * T(x,x \ 1)),z,u) = (x \ R(x * y,z,u)) * x. [hyper(228,a,3258,a(flip),b,3542,a)]. 3544 K(x,x \ 1) * R(K(x \ 1,x) * y,z,u) = R(y,z,u). [hyper(2934,a,3542,a(flip))]. 3545 K(x,x \ 1) * R(x \ 1,y,z) = R(1 / x,y,z). [para(1806(a,1),3544(a,1,2,1))]. 3546 R(K(x,x \ 1) * y,z,u) = K(x,x \ 1) * R(y,z,u). [para(2915(a,1),3544(a,1,2,1)),flip(a)]. 3547 R(K(x,x \ 1) * y,z,u) = R(y,z,u) * K(x,x \ 1). [hyper(228,a,2341,a(flip),b,3546,a)]. 3548 (x \ T(x,(x \ 1) * y)) * y = y * K(((x \ 1) * y) \ y,(x \ 1) * y). [para(3131(a,1),3513(a,2,2))]. 3549 (x \ R(x * y,z,u)) * x = R(y * x,z,u). [para(2886(a,1),3543(a,1,1)),flip(a)]. 3550 R(x * y,z,u) / y = y \ R(y * x,z,u). [hyper(85,a,3549,a)]. 3551 R((x \ y) * x,z,u) = (x \ R(y,z,u)) * x. [para(14(a,1),3549(a,1,1,2,1)),flip(a)]. 3552 x \ R(x * (y / x),z,u) = R(y,z,u) / x. [para(16(a,1),3550(a,1,1,1)),flip(a)]. 3553 R((x \ (y / z)) * x,z,z \ 1) = (x \ (y * (z \ 1))) * x. [para(495(a,1),3551(a,2,1,2))]. 3554 R((x \ (1 / y)) * x,y,x) * (y * x) = x * ((y * x) * T((y * x) \ 1,x)). [para(3551(a,2),1161(a,1,1))]. 3555 R((x \ (y / (1 / z))) * x,z \ 1,z) = (x \ (y * z)) * x. [para(2816(a,1),3551(a,2,1,2))]. 3556 R(x * (y / x),z,u) = x * (R(y,z,u) / x). [para(3552(a,1),14(a,1,2)),flip(a)]. 3557 R(x * ((y / z) / x),z,y \ u) * (z * (y \ u)) = (x * ((u / (z * (y \ u))) / x)) * (z * (y \ u)). [para(3556(a,2),2731(a,1,1))]. 3558 ((x \ (y * (z \ 1))) * x) / (z \ 1) = ((x \ (y / z)) * x) * z. [hyper(72,a,3553,a(flip),b,194,a)]. 3559 (x \ (x * y)) * x = (x * (y \ T(y,x))) * y. [hyper(228,a,3328,a(flip),b,3555,a(flip))]. 3560 ((x \ (y / (1 / z))) * x) * (1 / z) = ((x \ (y * z)) * x) / z. [hyper(72,a,3555,a(flip),b,2813,a),flip(a)]. 3561 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ (1 * x)) * y) / ((1 / x) \ 1). [para(3555(a,1),3352(a,1,1)),flip(a)]. 3562 (x * (y \ T(y,x))) * y = y * x. [para(13(a,1),3559(a,1,1)),flip(a)]. 3563 x * (y \ T(y,x)) = (y * x) / y. [hyper(85,a,3562,a),flip(a)]. 3564 (x \ y) * (x \ T(x,x \ y)) = y / x. [hyper(72,a,14,a(flip),b,3562,a),flip(a)]. 3565 x \ ((y * x) / y) = y \ T(y,x). [hyper(77,a,3563,a)]. 3566 R(x,y,y \ 1) \ ((y * x) * (y \ 1)) = y \ T(y,R(x,y,y \ 1)). [hyper(71,a,748,a(flip),b,3563,a)]. 3567 (x / y) \ T(x / y,y) = y \ (x / (x / y)). [hyper(71,a,225,a(flip),b,3563,a),flip(a)]. 3568 T(x,y) \ x = y \ T(y,T(x,y)). [hyper(71,a,166,a(flip),b,3563,a)]. 3569 x * ((y * (x \ 1)) / y) = y \ T(y,x \ 1). [hyper(17,a,2541,a,b,3563,a),flip(a)]. 3570 ((x * y) / x) / y = x \ T(x,y). [hyper(17,a,2535,a,b,3563,a),flip(a)]. 3571 (x \ T(x,y)) * y = (x * y) / x. [hyper(228,a,2515,a,b,3563,a(flip)),flip(a)]. 3572 (x * y) \ ((x * y) / x) = L(x \ 1,T(x,y),y). [para(3563(a,1),924(a,1,2))]. 3573 ((x * y) / x) * (y \ 1) = x \ T(x,y). [para(3563(a,1),2186(a,1,1))]. 3574 ((x \ 1) * y) / (x \ 1) = y * (x * T(x \ 1,y)). [para(2558(a,1),3563(a,1,2)),flip(a)]. 3575 ((L(x \ 1,x,y) \ 1) * y) / (L(x \ 1,x,y) \ 1) = y * K(x,y). [para(2590(a,2),3563(a,1,2)),flip(a)]. 3576 ((x * y) / x) \ y = T(x,y) \ x. [para(3563(a,1),2638(a,1,1))]. 3577 (T(x,y) \ x) * ((x * y) / x) = y. [para(3563(a,1),2673(a,1,2))]. 3578 L(x \ T(x,y),y,x) = K(x,(x * y) / x). [para(3565(a,1),461(a,1,1))]. 3579 R(T(x,y) \ x,y,z) = (T(y,T(x,y)) * z) / (y * z). [para(3568(a,2),2561(a,1,1))]. 3580 R(x \ T(x,y),y,z) \ (((x * y) / x) * z) = y * z. [para(3570(a,1),473(a,1,1,1))]. 3581 R(x \ T(x,y),y,((x * y) / x) \ z) \ z = y * (((x * y) / x) \ z). [para(3570(a,1),471(a,1,1,1))]. 3582 T(x,x \ y) \ x = (y / x) \ (x \ y). [para(14(a,1),3576(a,1,1,1)),flip(a)]. 3583 T(x,T(y,x)) \ x = y \ T(y,x). [para(166(a,1),3576(a,1,1)),flip(a)]. 3584 (((x * y) / x) * T(((x * y) / x) \ z,y)) * (((x * y) / x) \ y) = (y \ (z * (T(x,y) \ x))) * y. [para(3576(a,1),1123(a,1,1,2,2)),flip(a)]. 3585 ((x * y) / x) * (y \ ((T(x,y) \ x) * z)) = L(z,((x * y) / x) \ y,(x * y) / x). [para(3576(a,1),1407(a,1,2,2,1))]. 3586 K(x \ (T(y,x) \ y),x) = K(x \ 1,x). [para(3576(a,1),2722(a,1,1,2))]. 3587 L(x,y,y \ 1) \ ((1 / y) * (x * y)) = T(y,(1 / y) * (x * y)) \ y. [hyper(3349,a,3577,a)]. 3588 (x \ T(x,y)) \ y = T(y,T(x,y)). [para(3583(a,1),2490(a,1,1))]. 3589 (x * T(x \ 1,y)) \ y = T(y,T(x \ 1,y)). [para(2558(a,1),3588(a,1,1))]. 3590 (x \ y) * (x \ ((x \ y) \ y)) = y / x. [para(114(a,1),3564(a,1,2,2))]. 3591 (x \ T(x,y)) \ (((x * y) / x) * ((y \ 1) * z)) != u | L(z,y \ 1,(x * y) / x) = u. [para(3573(a,1),456(a,1,1))]. 3592 (x \ y) \ (y / x) = x \ ((x \ y) \ y). [hyper(77,a,3590,a)]. 3594 K(x,y) = L(x \ T(x,T(y,x)),T(y,x),x). [para(166(a,1),3578(a,2,2)),flip(a)]. 3595 (x / y) \ (y \ x) = y \ (x / (x / y)). [para(115(a,1),3567(a,1,2))]. 3596 T(x,x \ y) \ x = x \ (y / (y / x)). [hyper(228,a,3582,a,b,3595,a(flip)),flip(a)]. 3597 x / (x / y) = y * (T(y,y \ x) \ y). [para(3596(a,2),14(a,1,2)),flip(a)]. 3599 (x * y) / ((x * y) / x) = x * (T(x,y) \ x). [para(13(a,1),3597(a,2,2,1,2))]. 3600 K(x,(x / y) / x) = x \ T(x,y \ 1). [hyper(1603,a,3569,a)]. 3602 (x * ((y \ x) / x)) / (y \ x) = x \ T(x,y \ 1). [hyper(228,a,1156,a,b,3569,a(flip)),flip(a)]. 3603 L(x * ((y * (x \ 1)) / y),z,u) = y \ T(y,L(x,z,u) \ 1). [hyper(228,a,2735,a(flip),b,3569,a(flip)),flip(a)]. 3604 x \ (y * ((z * (y \ x)) / z)) = z \ T(z,(x \ y) \ 1). [hyper(228,a,1744,a(flip),b,3569,a(flip)),flip(a)]. 3605 x \ T(x,y \ 1) != z | K(x,(x / y) / x) = z. [para(3569(a,1),1603(a,1))]. 3606 T(x \ T(x,y \ 1),z) = K(x,(x / T(y,z)) / x). [para(3569(a,1),1747(a,1,1))]. 3607 K(x,(x / y) / x) * (y * z) = y * ((x \ T(x,y \ 1)) * z). [para(3569(a,1),2100(a,2,2,1))]. 3608 (x * ((y / (z * (x \ y))) / x)) * (z * (x \ y)) = x * ((x \ T(x,z \ 1)) * (x \ y)). [para(3569(a,1),2115(a,2,2,1))]. 3609 R(x \ T(x,y \ 1),z,u) = K(x,(x / R(y,z,u)) / x). [para(3569(a,1),2745(a,1,1))]. 3610 x * K(x,(x / y) / x) = T(x,y \ 1). [para(3600(a,2),14(a,1,2))]. 3611 T(x,x / (x * y)) = T(x,y \ 1). [hyper(228,a,1609,a(flip),b,3610,a(flip)),flip(a)]. 3612 T(x,(y \ x) \ 1) = x * K(x,y / x). [para(61(a,1),3610(a,1,2,2,1)),flip(a)]. 3613 T(x,T(y,y \ x) \ 1) = x * K(x,(y \ x) / x). [para(199(a,1),3610(a,1,2,2,1)),flip(a)]. 3614 (x * ((x / y) / x)) * y = T(x,y \ 1). [hyper(2116,a,3611,a)]. 3617 T(x,x / (y * x)) = T(x,y \ 1). [hyper(228,a,2588,a,b,3611,a(flip)),flip(a)]. 3618 T(x,y \ 1) / y = x * ((x / y) / x). [hyper(72,a,3611,a(flip),b,2110,a)]. 3619 T(x * ((x / y) / x),y) = y \ T(x,y \ 1). [para(3611(a,1),2112(a,1,2)),flip(a)]. 3620 x * (y * ((x \ y) / y)) = T(y,x \ 1). [hyper(1120,a,3617,a)]. 3621 x \ T(y,x \ 1) = y * ((x \ y) / y). [hyper(71,a,3617,a(flip),b,1119,a)]. 3622 T(x,(y \ x) \ 1) / (y \ x) = x * (y / x). [para(61(a,1),3618(a,2,2,1))]. 3623 T(x,y) / (1 / y) = x * ((x / (1 / y)) / x). [para(64(a,1),3618(a,1,1,2))]. 3624 x * ((x * y) * (y / (x * y))) = T(x * y,x \ 1). [para(13(a,1),3620(a,1,2,2,1))]. 3625 x \ (y \ T(x,y \ 1)) = (y \ x) / x. [hyper(71,a,3621,a,b,xx)]. 3626 (x / y) \ T(x,(x / y) \ 1) = x * (y / x). [para(64(a,1),3621(a,2,2,1))]. 3627 x * R(1 / y,y,y \ x) = y \ T(x,y \ 1). [para(361(a,2),3621(a,2,2)),flip(a)]. 3628 R(x,(y \ x) / x,x) = ((y \ T(x,y \ 1)) * x) / (y \ x). [para(3621(a,2),111(a,1,1,1)),flip(a)]. 3631 x / (y \ ((y * x) / y)) = y * (T(y,x) \ y). [hyper(228,a,1104,a(flip),b,3599,a(flip)),flip(a)]. 3632 (x * y) / ((x * y) / x) != x * z | T(x,y) \ x = z. [para(3599(a,2),19(a,1))]. 3633 T(((x / y) / x) * ((x \ 1) \ 1),y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x. [para(3619(a,1),2880(a,2,1,2))]. 3634 x \ (T(x,y) / (1 / y)) = (x / (1 / y)) / x. [hyper(71,a,3623,a,b,xx)]. 3635 (((x / y) \ 1) \ y) * ((x / y) \ 1) = x * (y / x). [hyper(228,a,949,a(flip),b,3626,a(flip)),flip(a)]. 3636 (x * (T(x,y) \ x)) \ y = x \ ((x * y) / x). [para(3631(a,1),64(a,1,1))]. 3638 x * R(1 / (1 / y),1 / y,(1 / y) \ x) = (1 / y) \ T(x,y). [para(64(a,1),3627(a,2,2,2))]. 3639 (((x * y) \ 1) * x) / ((x * y) \ 1) = x * (((x \ (1 / y)) * x) * y). [para(1049(a,1),3574(a,2,2))]. 3640 x \ T(x,T(y,z) \ 1) = T(x \ T(x,y \ 1),z). [hyper(228,a,3600,a(flip),b,3606,a),flip(a)]. 3641 T(x,T(y,y \ x) \ 1) != x * z | K(x,(y \ x) / x) = z. [para(3613(a,2),19(a,1))]. 3642 ((x \ 1) \ y) * (x \ 1) = (x * y) * (y / (x * y)). [hyper(17,a,948,a,b,3624,a),flip(a)]. 3643 x \ (y * (x / y)) != z | K(((y / x) \ 1) \ x,(y / x) \ 1) = z. [para(3635(a,1),425(a,1,2))]. 3644 T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = x \ T(x,R(z \ 1,z,y) \ 1). [para(2578(a,1),3640(a,1,2,2,1)),flip(a)]. 3645 ((x \ 1) * y) * (y / ((x \ 1) * y)) = (x \ y) * x. [hyper(228,a,3018,a(flip),b,3642,a(flip))]. 3646 ((x \ 1) * y) * R(x,x \ 1,y) = (x \ y) * x. [para(159(a,2),3645(a,1,2))]. 3647 ((((x \ 1) * y) * x) / ((x \ 1) * y)) * (x \ 1) = ((x \ y) * x) / y. [hyper(72,a,3646,a(flip),b,791,a),flip(a)]. 3648 L((T(x,T(y,x)) * z) / (x * z),T(y,x),x) = R((y * x) \ (x * y),x,z). [para(3579(a,1),859(a,1,1))]. 3649 R(x \ T(x,y \ 1),z,u) = x \ T(x,R(y,z,u) \ 1). [hyper(228,a,3600,a(flip),b,3609,a)]. 3650 x * (T((x \ y) * z,x) / z) = ((x \ (y * z)) * x) / z. [hyper(228,a,1300,a(flip),b,3560,a(flip)),flip(a)]. 3651 L(x \ T(x,y \ 1),z,u) = x \ T(x,L(y,z,u) \ 1). [para(3569(a,1),3603(a,1,1))]. 3652 (x \ T(x,y \ 1)) * (y * z) = y * ((x \ T(x,y \ 1)) * z). [para(3600(a,1),3607(a,1,1))]. 3653 x * R(1 / (1 / y),y \ 1,(1 / y) \ x) = (1 / y) \ T(x,y). [para(3317(a,1),3638(a,1,2))]. 3654 K(x,((y \ 1) \ x) / x) = ((1 / y) \ x) \ ((1 / y) \ T(x,y)). [para(3653(a,1),3325(a,1,2)),flip(a)]. 3655 K(x \ ((x \ 1) \ y),x) = K(y,((x \ 1) \ y) / y). [hyper(228,a,3257,a(flip),b,3654,a),flip(a)]. 3656 T(K(x,y),x * K(z,x)) = K(x,y). [para(3575(a,1),3169(a,1,2))]. 3657 K(x,y) * (x * K(z,x)) = (x * K(z,x)) * K(x,y). [para(3656(a,1),113(a,1,2)),flip(a)]. 3658 ((1 / (x * y)) * x) / (1 / (x * y)) = x * (((x \ (1 / y)) * x) * y). [hyper(228,a,3062,a,b,3639,a(flip)),flip(a)]. 3659 (((x * y) \ 1) * x) / ((x * y) \ 1) != x * z | ((x \ (1 / y)) * x) * y = z. [para(3639(a,2),19(a,1))]. 3660 ((x \ 1) * y) \ T((x \ 1) * y,x) = ((x \ y) * x) / y. [hyper(228,a,3573,a(flip),b,3647,a(flip)),flip(a)]. 3661 L(K(x \ y,x),y,x \ 1) = ((x \ y) * x) / y. [hyper(228,a,1739,a(flip),b,3660,a(flip)),flip(a)]. 3662 ((x \ (x * y)) * x) / (x * y) = L(K(y,x),x * y,x \ 1). [para(13(a,1),3661(a,1,1,1)),flip(a)]. 3663 L(K(x,y),y * x,y \ 1) = (x * y) / (y * x). [para(13(a,1),3662(a,1,1,1)),flip(a)]. 3664 L(K(x,y),y * x,y \ 1) = T(y,(1 / y) * (x * y)) \ y. [hyper(228,a,3451,a(flip),b,3587,a(flip)),flip(a)]. 3665 L(K(x,y),y * x,y \ 1) = T(y,(y \ 1) * (x * y)) \ y. [para(2997(a,1),3664(a,2,1))]. 3666 T(x,(x \ 1) * (y * x)) \ x = (y * x) / (x * y). [hyper(228,a,3663,a(flip),b,3665,a(flip))]. 3667 x * (((y * x) / (x * y)) \ 1) = T(x,(x \ 1) * (y * x)). [para(3666(a,1),2483(a,1,2,1))]. 3668 (((x \ 1) * y) \ y) * ((x \ 1) * y) = (x \ T(x,(x \ 1) * y)) * y. [hyper(228,a,239,a(flip),b,3548,a),flip(a)]. 3669 L((T(x,T(y,x)) * z) / (x * z),T(y,x),x) = R(K(x,y),x,z). [para(26(a,2),3648(a,2,1))]. 3670 x * ((y * x) * T((y * x) \ 1,x)) = (((x \ (1 / y)) * x) * y) * x. [hyper(221,a,3554,a),flip(a)]. 3671 x * (y * (x * T(x \ (y \ 1),x))) = (((x \ (1 / y)) * x) * y) * x. [para(852(a,1),3670(a,1,2))]. 3672 (((x \ (1 / y)) * x) * y) * x = x * (y * ((x \ (y \ 1)) * x)). [para(113(a,1),3671(a,1,2,2)),flip(a)]. 3673 T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = R(x \ T(x,(z \ 1) \ 1),z,y). [hyper(228,a,3649,a,b,3644,a)]. 3674 T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = R(x \ T(x,z),z,y). [para(3103(a,1),3673(a,2,1,2))]. 3675 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ x) * y) / ((1 / x) \ 1). [para(11(a,1),3561(a,2,1,1,2))]. 3676 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ x) * y) / x. [para(64(a,1),3675(a,2,2))]. 3677 ((x * y) / x) * (y \ ((T(x,y) \ x) * z)) = L(z,T(x,y) \ x,(x * y) / x). [para(3576(a,1),3585(a,2,2))]. 3678 T((x \ 1) * (x * ((y * (x \ z)) / y)),y) != u | L((x \ 1) * z,K(x,x \ 1),y) = u. [para(3514(a,2),3504(a,1))]. 3679 T((x / y) * K(x,x \ 1),y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x. [para(2898(a,1),3633(a,1,1,1))]. 3680 T(((x \ 1) \ 1) / y,y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x. [para(3461(a,1),3679(a,1,1,1))]. 3681 (x \ ((y \ 1) \ 1)) * K(y \ 1,y) = (y \ (x \ T(y,x \ 1))) * y. [para(115(a,1),3680(a,1,1))]. 3682 (x \ ((y \ 1) \ 1)) * K(y \ 1,y) = ((x \ y) / y) * y. [para(3625(a,1),3681(a,2,1))]. 3683 (x \ ((y \ 1) \ 1)) * K(y \ 1,y) = x \ y. [hyper(228,a,16,a(flip),b,3682,a)]. 3684 (x \ y) * K(y,y \ 1) = x \ ((y \ 1) \ 1). [hyper(18,a,2924,a(flip),b,3682,a),flip(a)]. 3687 K(x,x \ 1) * ((y \ x) * z) = (y \ ((x \ 1) \ 1)) * z. [para(3684(a,1),3422(a,1,1)),flip(a)]. 3688 (x \ 1) * ((y \ ((x \ 1) \ 1)) * z) = (1 / x) * ((y \ x) * z). [para(3687(a,1),3075(a,1,2))]. 3689 L((x \ ((y \ 1) \ 1)) * z,y \ 1,y) = y * ((1 / y) * ((x \ y) * z)). [para(3687(a,1),3076(a,1,1))]. 3690 (K(x \ 1,x) * (y * z)) \ (K(x \ 1,x) * (y * (z * u))) = L(u,z,y * K(x \ 1,x)). [para(3448(a,1),3492(a,1,2))]. 3691 K(x \ 1,x) * ((y * ((1 / x) * z)) / ((x \ 1) * z)) = R(y,K(x \ 1,x),(1 / x) * z). [hyper(228,a,3447,a(flip),b,3494,a(flip)),flip(a)]. 3692 R(x / (y * K(1 / z,z)),y / K(z,1 / z),K(z,1 / z)) = K(z,1 / z) * (x / y). [para(3089(a,1),3507(a,1,1,2))]. 3693 L(L(x,y,z),z * y,K(u \ 1,u)) = L(x,y,z * K(u \ 1,u)). [hyper(769,a,3690,a)]. 3694 L(x,y,z * K(u \ 1,u)) = L(x,y,z). [hyper(228,a,3434,a(flip),b,3693,a(flip))]. 3696 L(x,y,K(z \ 1,z) * u) = L(x,y,u). [para(2353(a,2),3694(a,1,3))]. 3697 L(x,y,((z \ 1) \ 1) * u) = L(x,y,z * u). [para(3009(a,1),3696(a,1,3)),flip(a)]. 3698 K(((x / y) / z) \ 1,R((x / y) / z,z,y)) = K((x / (z * y)) \ 1,x / (z * y)). [para(226(a,1),3406(a,2,2))]. 3699 K(((x / y) / z) \ 1,R((x / y) / z,z,y)) = K(x \ (z * y),(z * y) \ x). [hyper(228,a,3297,a(flip),b,3698,a)]. 3700 K(((x / y) / z) \ 1,x / (z * y)) = K(x \ (z * y),(z * y) \ x). [para(226(a,1),3699(a,1,2))]. 3701 (1 / (x \ 1)) / T(y,y \ T(x,x \ 1)) = (y \ ((x \ 1) \ 1)) * K(x \ 1,x). [para(1845(a,1),3462(a,2,2))]. 3702 x / T(y,y \ T(x,x \ 1)) = (y \ ((x \ 1) \ 1)) * K(x \ 1,x). [para(61(a,1),3701(a,1,1))]. 3703 x / T(y,y \ T(x,x \ 1)) = y \ x. [hyper(228,a,3683,a(flip),b,3702,a)]. 3704 (1 / x) / T(y,y \ (x \ 1)) = y \ (1 / x). [para(583(a,1),3703(a,1,2,2,2))]. 3705 (1 / (1 / x)) / T(y,y \ x) = y \ (1 / (1 / x)). [para(268(a,1),3703(a,1,2,2,2))]. 3706 K(x \ 1,x) * (y \ x) = y \ (1 / (1 / x)). [hyper(228,a,3487,a(flip),b,3705,a(flip)),flip(a)]. 3707 K(x,x \ 1) * ((y \ (1 / (1 / x))) * z) = (y \ x) * z. [para(3706(a,1),3469(a,1,2,1))]. 3708 x * K(y \ (1 / (1 / x)),y) = (y \ x) * y. [hyper(228,a,3038,a(flip),b,3707,a(flip)),flip(a)]. 3709 ((x \ y) * x) * (y \ 1) = ((x \ y) * x) / y. [para(3708(a,1),3676(a,1,1))]. 3710 (K(x \ 1,x) * (y * (z * u))) \ ((K(x \ 1,x) * (y * z)) * u) = a(y * K(x \ 1,x),z,u). [para(3448(a,1),3491(a,1,2,1))]. 3711 (K(x \ 1,x) * (y * (z * u))) \ (K(x \ 1,x) * ((y * z) * u)) = a(y * K(x \ 1,x),z,u). [para(3445(a,1),3710(a,1,2))]. 3712 L(a(x,y,z),x * (y * z),K(u \ 1,u)) = a(x * K(u \ 1,u),y,z). [hyper(771,a,3711,a)]. 3713 a(x * K(y \ 1,y),z,u) = a(x,z,u). [hyper(228,a,3434,a(flip),b,3712,a(flip))]. 3715 a(1 / x,y,z) = a(x \ 1,y,z). [para(725(a,1),3713(a,1,1)),flip(a)]. 3716 a(1 / (1 / x),y,z) = a(x,y,z). [para(1809(a,1),3713(a,1,1))]. 3717 a((x * y) \ 1,x,y) / y = (1 / (x * y)) * x. [hyper(72,a,3715,a(flip),b,191,a)]. 3718 (a((x * y) \ 1,x,y) / y) / (1 / (x * y)) = ((1 / (x * y)) \ T(1 / (x * y),x)) * x. [para(3717(a,2),3571(a,2,1)),flip(a)]. 3719 (a((x * y) \ 1,x,y) / y) / (1 / (x * y)) = x * (((x \ (1 / y)) * x) * y). [para(3717(a,2),3658(a,1,1))]. 3720 (a((x * y) \ 1,x,y) / y) / (1 / (x * y)) != x * z | ((x \ (1 / y)) * x) * y = z. [para(3719(a,2),19(a,1))]. 3721 (a((x * y) \ 1,x,y) / y) / (1 / (x * y)) = ((x * y) * T((x * y) \ 1,x)) * x. [para(698(a,1),3718(a,2,1))]. 3722 (a((x * y) \ 1,x,y) / y) / (1 / (x * y)) = (((x \ (1 / y)) * x) * y) * x. [para(1049(a,1),3721(a,2,1))]. 3723 (a((x * y) \ 1,x,y) / y) / (1 / (x * y)) = x * (y * ((x \ (y \ 1)) * x)). [hyper(228,a,3672,a(flip),b,3722,a)]. 3724 ((x \ (1 / y)) * x) * y = y * ((x \ (y \ 1)) * x). [hyper(3720,a,3723,a)]. 3725 (x \ 1) * ((y \ ((x \ 1) \ 1)) * y) = ((y \ x) * y) * (x \ 1). [para(61(a,1),3724(a,1,1,1,2)),flip(a)]. 3726 ((x \ y) * x) * (y \ 1) = (1 / y) * ((x \ y) * x). [hyper(228,a,3688,a(flip),b,3725,a(flip))]. 3727 K(x,x \ 1) * ((y \ x) * y) = T((y \ x) * y,x \ 1). [hyper(171,a,3726,a,b,3075,a),flip(a)]. 3728 (1 / x) * ((y \ x) * y) = ((y \ x) * y) / x. [hyper(228,a,3709,a(flip),b,3726,a(flip))]. 3730 ((x * (y * T(y \ T(z,x),y))) / x) * (((x * y) / x) \ y) = (y \ (z * (T(x,y) \ x))) * y. [para(2169(a,1),3584(a,1,1))]. 3731 ((x * ((y \ T(z,x)) * y)) / x) * (((x * y) / x) \ y) = (y \ (z * (T(x,y) \ x))) * y. [para(113(a,1),3730(a,1,1,1,2))]. 3732 ((x * ((y \ T(z,x)) * y)) / x) * (T(x,y) \ x) = (y \ (z * (T(x,y) \ x))) * y. [para(3576(a,1),3731(a,1,2))]. 3733 (x * ((y / (z * (u \ y))) / x)) * (z * (u \ y)) = ((x * ((u / z) / x)) * z) * (u \ y). [hyper(221,a,3557,a),flip(a)]. 3735 ((x * ((x / y) / x)) * y) * (x \ z) = x * ((x \ T(x,y \ 1)) * (x \ z)). [hyper(228,a,3608,a(flip),b,3733,a(flip))]. 3736 x * ((x \ T(x,y \ 1)) * (x \ z)) = T(x,y \ 1) * (x \ z). [para(3614(a,1),3735(a,1,1)),flip(a)]. 3737 T(x,(y \ 1) \ 1) * (x \ z) = x * ((x \ T(x,y)) * (x \ z)). [para(3103(a,1),3736(a,1,2,1,2)),flip(a)]. 3738 x * ((x \ T(x,y)) * (x \ z)) = T(x,y) * (x \ z). [para(3103(a,1),3737(a,1,1)),flip(a)]. 3739 T(x,y) * (x \ (x * z)) = x * ((x \ T(x,y)) * z). [para(13(a,1),3738(a,1,2,2)),flip(a)]. 3740 x * ((x \ T(x,y)) * z) = T(x,y) * z. [para(13(a,1),3739(a,1,2)),flip(a)]. 3741 (x \ T(x,y)) \ (x \ z) = T(x,y) \ z. [hyper(555,a,3740,a),flip(a)]. 3742 L(x,y \ T(y,z),y) = x. [hyper(530,a,3740,a)]. 3743 (T(x,y) * z) / ((x \ T(x,y)) * z) = x. [hyper(85,a,3740,a)]. 3744 (x \ T(x,y)) * z = T(x,y) * (x \ z). [hyper(17,a,1053,a,b,3740,a)]. 3745 (x \ T(x,y)) * (x * z) = T(x,y) * z. [hyper(17,a,1051,a(flip),b,3740,a)]. 3747 T(x,y) * y = x * ((x * y) / x). [para(3571(a,1),3740(a,1,2)),flip(a)]. 3751 (x \ T(x,y)) \ z = x * (T(x,y) \ z). [hyper(71,a,3742,a(flip),b,2662,a)]. 3753 L(x,T(y,T(z,y)) \ y,z) = x. [para(3583(a,2),3742(a,1,2))]. 3754 L(x,T(y,z) \ y,(y * z) / y) = x. [para(165(a,1),3753(a,1,2,1,2))]. 3755 T(x,y) * (x \ y) = (x * y) / x. [hyper(1069,a,3747,a)]. 3756 T(x,x / (x / y)) = T(x,y). [hyper(18,a,1426,a,b,3747,a),flip(a)]. 3757 T(x,x \ y) * (x \ y) = x * (y / x). [para(14(a,1),3747(a,2,2,1))]. 3758 T(x / y,y) * y = (x / y) * (x / (x / y)). [para(16(a,1),3747(a,2,2,1))]. 3759 T(x,T(y,x)) * T(y,x) = x * y. [para(166(a,1),3747(a,2,2))]. 3760 ((T(x,y) * y) / x) \ ((x * (x * y)) / x) = L(x,(x * y) / x,x). [para(3747(a,2),1549(a,1,1,1))]. 3761 T(x,y) = (x / y) * ((x * y) / x). [hyper(228,a,1099,a,b,3756,a(flip))]. 3762 T(x,x / (1 / y)) = T(x,x * y). [hyper(228,a,1434,a(flip),b,3756,a(flip)),flip(a)]. 3763 (x / T(y,x)) * y = T(x,T(y,x)). [hyper(228,a,1112,a(flip),b,3756,a(flip)),flip(a)]. 3764 (x / y) \ T(x,y) = (x * y) / x. [hyper(71,a,3756,a(flip),b,1099,a)]. 3765 T(x,x / y) = T(x,y \ x). [para(61(a,1),3756(a,1,2,2))]. 3766 T(x,(y \ x) \ x) = T(x,y). [para(138(a,1),3756(a,1,2)),flip(a)]. 3767 T(x,(y \ 1) \ x) = T(x,y * x). [hyper(228,a,1411,a(flip),b,3765,a(flip))]. 3768 T(T(x,y \ x) / y,x) = x / y. [para(3765(a,1),1096(a,1,1,1))]. 3769 T(x,T(y,y \ x)) = T(x,y). [para(114(a,2),3766(a,1,2))]. 3770 T(x / y,T(y,x)) = y \ x. [hyper(171,a,1334,a,b,3755,a)]. 3771 T(x,y) \ ((x * y) / x) = x \ y. [hyper(77,a,3755,a)]. 3772 ((x * y) / x) \ (T(x,y) * ((x \ y) * z)) = L(z,x \ y,T(x,y)). [para(3755(a,1),28(a,2,1)),flip(a)]. 3773 L((x \ y) \ z,x \ y,T(x,y)) = ((x * y) / x) \ (T(x,y) * z). [para(3755(a,1),102(a,2,1))]. 3774 ((x * y) / x) \ R(T(x,y),x \ y,(x \ y) \ 1) = (x \ y) \ 1. [para(3755(a,1),394(a,1,1))]. 3776 L(((x * y) / x) / y,y,x) = K(T(x,y),y). [para(3755(a,1),2520(a,1,1,1))]. 3777 T(x \ y,T(x,y)) = T(x \ y,x). [para(3770(a,1),185(a,1,1)),flip(a)]. 3778 x \ (y * T(y \ x,T(y,x))) = K(y \ x,T(y,x)). [para(3770(a,1),1720(a,1,1)),flip(a)]. 3779 x * T(y,z) != z * y | T(z,T(y,z)) = x. [para(3759(a,1),20(a,1)),flip(a)]. 3780 T(x / y,(x * y) / x) = y \ x. [hyper(171,a,3761,a(flip),b,1084,a(flip))]. 3782 R(T(x,x * y),y,x) = (x / T(y,x)) * y. [para(3762(a,1),1438(a,1,1))]. 3783 T(x / T(y,x),y) = T(y,x) \ x. [hyper(171,a,3763,a,b,1070,a)]. 3785 ((x * y) * y) / (x * y) = x \ T(x * y,y). [para(15(a,1),3764(a,1,1)),flip(a)]. 3786 T(x,x \ y) \ (y / x) = x \ (x \ y). [para(14(a,1),3771(a,1,2,1))]. 3787 T(T(x,y),x) * L(T(T(x,y),x) \ y,z,u) = T(T(x,y) * L(x \ y,z,u),x). [para(3771(a,1),2038(a,1,1,2,1)),flip(a)]. 3788 T(x,y) * T(x \ y,x) = (x \ y) * T(x,y). [para(3777(a,1),113(a,1,2))]. 3790 x \ (y * T(y \ x,T(y,x))) = K(y \ x,y). [para(3777(a,2),400(a,1,2,2))]. 3791 T(x / T(y,x),z) * y = y * T(T(y,x) \ x,z). [para(3783(a,1),182(a,1,2,1)),flip(a)]. 3792 x \ ((T(y,x) \ y) * z) = ((y * x) / y) \ z. [hyper(71,a,3754,a(flip),b,3677,a),flip(a)]. 3793 R(x,x \ T(x,y),z) = x. [hyper(715,a,3743,a)]. 3794 R(x,T(y,x) \ y,z) = x. [para(3568(a,2),3793(a,1,2))]. 3795 R(x,K(y,x) \ 1,z) = x. [para(1157(a,1),3794(a,1,2))]. 3796 T(x,y \ 1) * (x \ (y * z)) = y * ((x \ T(x,y \ 1)) * z). [hyper(228,a,3652,a(flip),b,3744,a(flip))]. 3797 T(x,y) * (x \ (z * K(x \ 1,x))) = ((x \ 1) * T(x,y)) * z. [hyper(228,a,3344,a(flip),b,3744,a(flip))]. 3798 T(x,y) * (x \ 1) != z | x \ T(x,y) = z. [para(3744(a,1),81(a,1)),flip(b)]. 3799 (T(x,y) * z) / (x * z) = x \ T(x,y). [hyper(85,a,3745,a)]. 3800 (x \ T(x,y)) \ (T(x,y) * z) = x * z. [hyper(77,a,3745,a)]. 3801 (x \ T(x,y)) \ (T(x,y) * z) != u | x * z = u. [para(3745(a,1),284(a,1,2)),flip(b)]. 3803 (x \ T(x,y)) \ (x \ z) != u | T(x,y) \ z = u. [para(3751(a,2),1076(a,1))]. 3806 T(x,x \ y) \ (x * (y / x)) = x \ y. [hyper(77,a,3757,a)]. 3807 T(x,x \ (y \ x)) \ (y \ T(x,y \ 1)) = x \ (y \ x). [hyper(71,a,3621,a,b,3757,a)]. 3808 (x \ T(x,x \ y)) * y = x * (y / x). [hyper(228,a,3744,a,b,3757,a(flip)),flip(a)]. 3809 x * (x * T(T(x,x \ (y * x)) \ ((y * x) / x),z)) = (x * T(x \ y,z)) * x. [para(3786(a,2),1443(a,1,2,2,1))]. 3810 R(x \ T(x,y),x,z) = x \ T(x,y). [hyper(2573,a,3799,a)]. 3811 R(K(x,y),x,z) = L(x \ T(x,T(y,x)),T(y,x),x). [para(3799(a,1),3669(a,1,1)),flip(a)]. 3813 (x * T(x \ y,z)) / y = (y / x) \ T(y / x,z). [hyper(228,a,2640,a(flip),b,3810,a(flip)),flip(a)]. 3814 T(x,x \ y) * (x \ y) != z | x * (y / x) = z. [para(3806(a,1),213(a,1,2)),flip(b)]. 3815 L(x \ T(x,y),y,x) = K(T(x,y),y). [para(3570(a,1),3776(a,1,1))]. 3816 K(T(x,T(y,x)),T(y,x)) = K(x,y). [hyper(228,a,3594,a,b,3815,a(flip))]. 3817 K(T(x,y),y) = K(x,(x * y) / x). [hyper(228,a,3578,a(flip),b,3815,a(flip))]. 3818 R(T(x,x * y),y,x) = T(x,T(y,x)). [hyper(228,a,3763,a(flip),b,3782,a)]. 3819 L(R(x,y,x),y,x) * y = y * T(x,T(y,x)). [para(3818(a,1),1044(a,1,2)),flip(a)]. 3821 (1 / x) * T(x,y) != z | x \ T(x,y) = z. [para(2576(a,1),3798(a,1))]. 3822 (x / y) * (x / (x / y)) = (y \ x) * y. [para(115(a,1),3758(a,1,1)),flip(a)]. 3823 ((x \ y) * x) * x = y * (y / (y / x)). [para(3822(a,1),818(a,1,1))]. 3824 T(x \ T(x * y,y),x) = R(y,x,y). [para(3785(a,1),729(a,2,1)),flip(a)]. 3825 (x \ T(x * y,y)) * x = x * R(y,x,y). [para(3785(a,1),735(a,1,1))]. 3826 x * R(y,x,y) != z | (x \ T(x * y,y)) * x = z. [para(3824(a,1),219(a,1,2))]. 3827 (x * R(y,x,y)) \ T(x * y,y) = K(x,x \ T(x * y,y)). [para(3825(a,1),95(a,1,1))]. 3828 x * (((y * x) / y) \ z) = (T(y,x) \ y) * z. [para(3792(a,1),14(a,1,2))]. 3829 x \ (y * (T(y,x) \ y)) = ((y * x) / y) \ y. [para(2491(a,1),3792(a,1,2))]. 3830 T((x * y) / x,T(x,y)) = L(R(y,x,y),x,y). [hyper(18,a,410,a,b,3819,a),flip(a)]. 3831 R(x \ T(x,y),y,((x * y) / x) \ z) \ z = (T(x,y) \ x) * z. [hyper(228,a,3581,a,b,3828,a(flip)),flip(a)]. 3832 T(x,y / x) \ x = y / (x * (y / x)). [hyper(72,a,265,a(flip),b,3828,a(flip)),flip(a)]. 3833 (T(x,y) \ x) * (x * y) = y * x. [para(64(a,1),3828(a,1,2)),flip(a)]. 3834 K(x,y) = T(T(y,x) \ y,y * x). [hyper(171,a,3833,a,b,93,a),flip(a)]. 3835 (x * y) / (y * x) = T(y,x) \ y. [hyper(85,a,3833,a)]. 3837 T(x / y,y) \ (x / y) = (y * (x / y)) / x. [para(16(a,1),3835(a,1,2)),flip(a)]. 3838 T(x,y) = x * (((y * x) / (x * y)) \ 1). [para(3835(a,2),2483(a,1,2,1)),flip(a)]. 3839 T(x,(x \ 1) * (y * x)) = T(x,y). [hyper(228,a,3667,a(flip),b,3838,a),flip(a)]. 3840 T(x,T((x \ 1) * y,x)) = T(x,x \ y). [para(1736(a,1),3839(a,1,2))]. 3841 T(x \ T(x * y,y),T(x * y,y)) = L(R(y,x * y,y),x * y,y). [para(3785(a,1),3830(a,1,1))]. 3842 (x * (y / x)) / y = (x \ y) \ (y / x). [para(115(a,1),3837(a,1,1)),flip(a)]. 3843 (x * (y / x)) / y = x \ ((x \ y) \ y). [hyper(228,a,3592,a(flip),b,3842,a)]. 3844 x \ ((x \ (y \ x)) \ (y \ x)) = x \ T(x,y \ 1). [hyper(228,a,3602,a(flip),b,3843,a(flip))]. 3845 (x \ T(x,y)) \ z != u | x * (T(x,y) \ z) = u. [para(14(a,1),3801(a,1,2))]. 3848 K(x \ y,T(x,y)) = K(x \ y,x). [hyper(228,a,3790,a(flip),b,3778,a(flip))]. 3849 K(x \ (x * y),x) = K(y,T(x,x * y)). [hyper(228,a,644,a(flip),b,3848,a(flip))]. 3850 K(x,T(y,y * x)) = K(x,y). [hyper(228,a,644,a(flip),b,3849,a(flip))]. 3852 K(x \ 1,T(y,x \ y)) = K(x \ 1,y). [para(1713(a,1),3850(a,1,2))]. 3853 K((x \ 1) \ 1,T(y,x * y)) = K((x \ 1) \ 1,y). [para(3767(a,1),3852(a,1,2))]. 3854 R(K(x,y),x,z) = K(x,y). [hyper(228,a,3594,a,b,3811,a)]. 3856 (K(x,y) * x) * z = K(x,y) * (x * z). [para(3854(a,1),109(a,1,1)),flip(a)]. 3857 L(x,y,K(y,z)) = x. [hyper(445,a,3856,a)]. 3862 L(x,y,K(y,z)) = 1 * x. [hyper(228,a,11,a,b,3857,a)]. 3865 L(x,y,K(y,z)) != u | u = x. [para(3862(a,2),73(a,1))]. 3867 ((x \ y) / y) \ T((x \ y) / y,z) = x * T(x \ 1,z). [hyper(1211,a,3813,a),flip(a)]. 3869 (x \ T(x,y \ 1)) * x = T(x,x \ (y \ x)). [para(3844(a,1),2571(a,1,1))]. 3870 T(x,x \ (y \ x)) = T(x,y \ 1). [hyper(2560,a,3869,a),flip(a)]. 3871 T(x * y,(x * y) \ y) = T(x * y,x \ 1). [para(13(a,1),3870(a,1,2,2))]. 3872 T(x,(x / y) \ 1) = T(x,x \ y). [para(64(a,1),3870(a,1,2,2)),flip(a)]. 3873 (x \ (y \ x)) * T(x,y \ 1) = y \ x. [para(3870(a,1),168(a,1,2))]. 3874 (x \ y) / T(y,x \ 1) = y \ (x \ y). [para(3870(a,1),199(a,1,2))]. 3876 x \ ((y \ x) / ((y \ x) / x)) = T(x,y \ 1) \ x. [para(3870(a,1),3596(a,1,1)),flip(a)]. 3877 (x / y) \ T(x,x \ y) = x * (y / x). [para(3872(a,1),3626(a,1,2))]. 3878 (x \ ((1 / y) \ x)) * T(x,y) = (1 / y) \ x. [para(64(a,1),3873(a,1,2,2))]. 3879 ((x \ 1) \ y) / T(y,x) = y \ ((x \ 1) \ y). [para(3103(a,1),3874(a,1,2))]. 3880 (x / (y * x)) \ T(x,x \ (y * x)) = x * y. [para(15(a,1),3877(a,2,2))]. 3881 ((x / y) * ((x * (y / x)) / T(x,x \ y))) * ((x / y) \ 1) = R(1 / (x / y),x / y,(x / y) \ T(x,x \ y)). [para(3877(a,1),1522(a,1,1,2,1))]. 3882 x / T(y * x,y \ 1) = (y * x) \ x. [para(3871(a,1),199(a,1,2))]. 3883 (x / (y * x)) \ T(x,T(y,x)) = x * y. [para(32(a,2),3880(a,1,2,2))]. 3884 K((x \ 1) \ 1,y) = K(x,T(y,x * y)). [hyper(228,a,2857,a(flip),b,3853,a(flip))]. 3885 K(x,T(y,x * y)) = K(x,y). [hyper(228,a,2857,a(flip),b,3884,a(flip))]. 3886 K(x,T(x \ y,y)) = K(x,x \ y). [para(14(a,1),3885(a,1,2,2))]. 3887 T(x,y \ 1) \ (y \ T(x,y \ 1)) = x \ (y \ x). [para(3870(a,1),3807(a,1,1))]. 3888 T(L(x,y,y \ 1),(1 / y) \ 1) \ ((1 / y) \ T(L(x,y,y \ 1),(1 / y) \ 1)) = L(x,y,y \ 1) \ (y * x). [para(2998(a,1),3887(a,2,2))]. 3889 x \ ((y \ x) / ((y \ x) / x)) = y * T(y \ 1,x). [hyper(228,a,3567,a(flip),b,3867,a(flip)),flip(a)]. 3890 T(x,T((y \ z) / z,x)) = (y * T(y \ 1,x)) \ x. [para(3867(a,1),3588(a,1,1)),flip(a)]. 3891 T(x,y \ 1) \ x = y * T(y \ 1,x). [hyper(228,a,3876,a(flip),b,3889,a(flip)),flip(a)]. 3892 K(x \ (x / y),x) = T(x,y \ 1) \ x. [hyper(228,a,936,a,b,3891,a),flip(a)]. 3893 T(x,(y \ 1) \ 1) \ x = y \ T(y,x). [hyper(228,a,920,a(flip),b,3891,a)]. 3895 (T(x,y \ 1) \ x) \ (y * (T(y \ 1,x) * z)) = L(z,T(y \ 1,x),y). [para(3891(a,2),28(a,2,1)),flip(a)]. 3897 x * (T(x,y \ 1) \ x) = y * ((x \ (y \ x)) * x). [para(3891(a,2),2546(a,2,2)),flip(a)]. 3898 T(x,y \ 1) \ x != z | y * T(y \ 1,x) = z. [para(3892(a,1),1217(a,1))]. 3899 K(x \ (x / y),x) \ x = T(x,y \ 1). [para(3892(a,2),2490(a,1,1))]. 3900 T(x,y) \ x = y \ T(y,x). [para(3103(a,1),3893(a,1,1))]. 3901 T(x,y / x) \ x = x \ (y / (y / x)). [hyper(228,a,3567,a(flip),b,3900,a)]. 3902 (x * y) / x = y * (T(y,x) \ y). [para(3900(a,2),3563(a,1,2)),flip(a)]. 3903 x * ((T(y,x) \ y) * z) = T(x,y) * z. [para(3900(a,2),3740(a,1,2,1))]. 3904 T(x,y) * (x \ z) = (T(y,x) \ y) * z. [para(3900(a,2),3744(a,1,1)),flip(a)]. 3905 K(x,y) = T(x \ T(x,y),y * x). [para(3900(a,1),3834(a,2,1))]. 3906 ((x \ y) * x) / (x \ y) = y / (y / x). [hyper(228,a,3597,a,b,3902,a)]. 3907 T(x * (T(x,y) \ x),y) = x. [para(3902(a,1),165(a,1,1))]. 3908 ((x * y) / x) \ x = y \ ((y * x) / y). [para(3902(a,2),3636(a,1,1))]. 3909 T(x / (x / y),y \ x) = y. [para(3597(a,2),3907(a,1,1))]. 3910 T(T(x / (x / y),z),y \ x) = T(y,z). [para(3909(a,1),38(a,1,1)),flip(a)]. 3911 T(x / (x / (x / y)),y) = x / y. [para(64(a,1),3909(a,1,2))]. 3912 (x / (x / y)) * (y \ x) = (y \ x) * y. [para(3909(a,1),113(a,1,2)),flip(a)]. 3913 x \ T(x,T(y,(y \ 1) * x) \ 1) = K(x,y \ 1). [hyper(228,a,3640,a,b,3905,a),flip(a)]. 3914 (x * (y / x)) / x = y / (y / (y / x)). [para(3911(a,1),166(a,1,1,2))]. 3915 R(x / y,x / (x / y),x / y) = T((x * (x / y)) / x,y). [para(3911(a,1),717(a,1,1))]. 3916 T(x,(y \ x) \ 1) = K(x \ y,x) \ x. [para(61(a,1),3899(a,1,1,1,2)),flip(a)]. 3917 x / (y * (x / y)) = y \ (x / (x / y)). [hyper(228,a,3832,a(flip),b,3901,a(flip)),flip(a)]. 3918 (T(x,y / z) \ x) * y = z * T(z \ y,x). [hyper(17,a,1115,a,b,3903,a)]. 3919 T(x,y) * T(y,x) = x * y. [para(2489(a,1),3903(a,1,2)),flip(a)]. 3920 T(x,y) * (y * x) = x * (x * y). [para(3833(a,1),3903(a,1,2)),flip(a)]. 3921 T(x,T(y,x)) = T(x,y). [hyper(3779,a,3919,a)]. 3922 (x / T(y,x)) * y = T(x,y). [hyper(1351,a,3919,a)]. 3923 x * (T(x,y) \ y) = T(y,x). [hyper(1073,a,3919,a)]. 3924 T(x,y) * (x \ T(y,x)) = y. [hyper(1069,a,3919,a)]. 3925 (x * y) / T(y,x) = T(x,y). [hyper(85,a,3919,a)]. 3926 T(x,y) \ (x * y) = T(y,x). [hyper(77,a,3919,a)]. 3929 (T(x,y) * (T(y,x) * z)) \ ((x * y) * z) = a(T(x,y),T(y,x),z). [para(3919(a,1),24(a,2,2,1)),flip(a)]. 3931 R(x,T(y,z),T(z,y)) * (y * z) = (x * T(y,z)) * T(z,y). [para(3919(a,1),109(a,1,2))]. 3932 T(x,y) * (T(y,x) * z) != (x * y) * u | L(z,T(y,x),T(x,y)) = u. [para(3919(a,1),445(a,1,1)),flip(a)]. 3933 T(x \ y,x) = ((x \ y) \ y) \ y. [hyper(650,a,3921,a),flip(a)]. 3934 R(T(x,x * y),y,x) = T(x,y). [hyper(228,a,3818,a,b,3921,a(flip)),flip(a)]. 3936 T(x,(x \ 1) * y) = T(x,x \ y). [hyper(228,a,3840,a(flip),b,3921,a(flip))]. 3937 T(x,y) / y = x / T(y,x). [hyper(72,a,3921,a(flip),b,3763,a)]. 3938 T(x,y) / (T(y,x) \ x) = y. [hyper(72,a,3921,a(flip),b,1070,a)]. 3939 T(x,y) \ y = x \ T(y,x). [hyper(71,a,3921,a(flip),b,1070,a),flip(a)]. 3940 T(T(x,y),T(z,x)) = T(T(x,z),y). [para(3921(a,1),38(a,1,1)),flip(a)]. 3941 T(x,T(T(y,x),z)) = T(x,T(y,z)). [para(38(a,1),3921(a,1,2))]. 3942 T(L(x,y,z),T(u,x)) = L(T(x,u),y,z). [para(3921(a,1),40(a,1,1)),flip(a)]. 3943 T(x,L(T(y,x),z,u)) = T(x,L(y,z,u)). [para(40(a,2),3921(a,1,2))]. 3944 T(x,y / x) = T(x,x \ y). [para(115(a,1),3921(a,1,2)),flip(a)]. 3946 T(x,y) * T(T(y,x),z) = T(y,z) * T(x,y). [para(3921(a,1),182(a,1,2,1))]. 3948 T(x,y) * L(T(y,x),z,u) = L(y,z,u) * T(x,y). [para(3921(a,1),183(a,1,2,1))]. 3949 T(x,y) * R(T(y,x),z,u) = R(y,z,u) * T(x,y). [para(3921(a,1),184(a,1,2,1))]. 3950 T(x,T(y,y * x)) = T(x,L(y,x,y)). [para(676(a,1),3921(a,1,2))]. 3951 T(x,y) * T(T(y,x),z) != u | T(y,z) * T(x,y) = u. [para(3921(a,1),377(a,1,2,1))]. 3952 K(T(x,y),T(y,x)) = K(x,y). [para(3921(a,1),3816(a,1,1))]. 3953 (x / (y * x)) \ T(x,y) = x * y. [para(3921(a,1),3883(a,1,2))]. 3954 T(x,y) / T(y,x) = x / T(T(y,x),x). [hyper(72,a,3921,a(flip),b,3922,a)]. 3956 (x * R(y,z,u)) / R(T(y,x),z,u) = T(x,R(y,z,u)). [para(42(a,2),3925(a,1,2))]. 3958 (T(x,y) * (y * x)) / T(x,y) = T(y,x) * T(T(x,y),y * x). [para(3925(a,1),1334(a,1,1)),flip(a)]. 3959 T(x,y) = (x \ (y * x)) \ (y * x). [para(32(a,1),3926(a,1,1)),flip(a)]. 3960 (T(x,y) / y) \ x = T(y,x). [para(3937(a,2),64(a,1,1))]. 3961 T(x * (y / x),x) = x * (y / T(x,y)). [para(3937(a,1),1293(a,2,2))]. 3962 T(x,T(y,z)) / (T(T(y,x),z) \ x) = T(y,z). [para(38(a,1),3938(a,1,2,1))]. 3963 x * (T(x,y) \ y) != z | T(y,x) = z. [para(3938(a,1),215(a,1,1)),flip(b)]. 3964 T(x,y) \ ((T(y,x) \ x) * y) = K(y \ T(x,y),y). [para(3939(a,2),94(a,1,2,1))]. 3965 (T(x,y) * ((x \ T(y,x)) * z)) \ (y * z) = a(T(x,y),T(x,y) \ y,z). [para(3939(a,1),90(a,1,1,2,1))]. 3966 T(x,x * y) * R(x \ T(x * y,x),z,u) = T(x * R(y,z,u),x * y). [para(3939(a,1),1781(a,1,2,1))]. 3967 ((x \ T(y,x)) * T(x,y)) * T(x,y) = y * (y / (y / T(x,y))). [para(3939(a,1),3823(a,1,1,1))]. 3968 T(x,y / x) = (x \ y) \ y. [hyper(228,a,114,a(flip),b,3944,a)]. 3969 R(T(x,y),y / x,x) = T(x,x \ y). [hyper(228,a,742,a,b,3944,a(flip)),flip(a)]. 3970 (x * (y / x)) / T(x,x \ y) = y / x. [para(3944(a,1),137(a,1,2))]. 3972 (x * (y / x)) * x = y * T(x,x \ y). [para(3944(a,1),751(a,2,2))]. 3973 (x * y) \ (y * T(x,x \ y)) = a(x,y / x,x). [para(3944(a,1),835(a,1,2,2))]. 3974 x \ (T(x,y / x) / (1 / (x \ y))) = (x / (1 / (x \ y))) / x. [para(3944(a,2),3634(a,1,2,1))]. 3975 T(x,T(y,x / y)) = T(x,y). [para(3944(a,2),3769(a,1,2))]. 3980 (x * (y / x)) * x = y * ((x \ y) \ y). [para(3968(a,1),751(a,2,2))]. 3981 T(x * y,T(y,x)) = T(x * y,y). [para(15(a,1),3975(a,1,2,2))]. 3982 R(T(x,y),x \ y,x) = T(x,x \ y). [para(14(a,1),3934(a,1,1,2))]. 3983 R(x,y,x) * (x * y) = (x * y) * T(x,y). [para(3934(a,1),184(a,1,2)),flip(a)]. 3984 R(T(x,x * y) * L(T(x,x * y) \ 1,z,u),y,x) = T(x,y) * L(R(T(x,x * y),y,x) \ 1,z,u). [para(3934(a,1),3356(a,1,1)),flip(a)]. 3985 ((T(x,y) * y) / x) \ ((x * (x * y)) / x) = L(x,y,T(x,y)). [para(3920(a,1),1547(a,2,2,1)),flip(a)]. 3986 x / T(y \ x,y) = (y \ x) \ x. [para(3933(a,2),61(a,1,2))]. 3987 L((((x \ y) \ z) \ z) \ z,x \ y,x) = T(y \ (x * z),x \ y). [para(3933(a,1),712(a,1,1))]. 3989 T(x,(1 / x) * y) = T(x,x \ y). [hyper(228,a,2997,a,b,3936,a(flip)),flip(a)]. 3990 ((x \ 1) * y) \ ((x * (x \ 1)) * y) = R(T(x,x \ y),x \ 1,y). [para(3936(a,1),595(a,2,1))]. 3991 (((x \ 1) * y) \ y) * ((x \ 1) * y) = (x \ T(x,x \ y)) * y. [para(3936(a,1),3668(a,2,1,2))]. 3992 T(T(x,y),L(T(z,x),u,w)) = T(T(x,L(z,u,w)),y). [para(40(a,2),3940(a,1,2))]. 3993 T(x,T(y,T(z,T(y,x)))) = T(x,T(T(y,x),z)). [para(3921(a,1),3941(a,1,2)),flip(a)]. 3994 T(x,y) / (x * y) = x / (y * x). [para(3953(a,1),61(a,1,2))]. 3995 x / T(y,(1 / y) * x) = y \ x. [para(3989(a,2),199(a,1,2))]. 3996 T(x,y) / (x * y) = R(1 / y,y,x). [hyper(228,a,162,a,b,3994,a)]. 3997 x / T(y \ 1,y * x) = (y \ 1) \ x. [para(61(a,1),3995(a,1,2,2,1))]. 3999 T(x,T(y,x)) != z | T(x,y) = z. [para(1070(a,1),3963(a,1))]. 4001 T(x,x \ y) != z | T(x,y / x) = z. [para(115(a,1),3999(a,1,2))]. 4003 K(x,y) != z | T(K(x,y),x) = z. [para(3165(a,1),3999(a,1))]. 4004 R(T(x,y),x \ y,x) = (x \ y) \ y. [hyper(228,a,114,a(flip),b,3982,a)]. 4006 R(1 / x,x,T(y,x)) = R(1 / x,x,y). [hyper(640,a,3996,a)]. 4007 (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(3996(a,1),1581(a,1,1)),flip(a)]. 4008 x * (((y * x) / y) \ z) = T(x,y) * (x \ z). [hyper(228,a,3828,a,b,3904,a),flip(a)]. 4009 T(x / (x / y),x) = L(y,y \ x,y). [para(3906(a,1),688(a,1,1))]. 4010 T(T(x / (x / y),x),z) = L(T(y,z),y \ x,y). [para(4009(a,2),40(a,2,1)),flip(a)]. 4011 L(x \ y,(x \ y) \ y,x \ y) = T(y / x,y). [para(61(a,1),4009(a,1,1,2)),flip(a)]. 4012 x * T(x / (x / y),x) = y * ((y \ x) * y). [para(4009(a,2),441(a,1,2))]. 4013 (x * (y \ x)) / (x / y) = (y \ x) * y. [hyper(228,a,1354,a,b,3912,a(flip)),flip(a)]. 4014 R(1 / (1 / (1 / x)),x,y) = (x * (y / (x * y))) / x. [para(3914(a,1),829(a,1,1))]. 4015 K(x \ y,x) \ x = x * K(x,y / x). [hyper(228,a,3612,a(flip),b,3916,a(flip))]. 4016 (x \ y) * T(y,y \ (x \ y)) = (x \ T(y,x \ 1)) * y. [para(3621(a,2),3972(a,1,1)),flip(a)]. 4017 T(x * (y / x),x) = x \ (y * ((x \ y) \ y)). [hyper(171,a,3980,a,b,14,a)]. 4019 T(x \ 1,x * y) = ((x \ 1) \ y) \ y. [para(3997(a,1),64(a,1,1)),flip(a)]. 4020 R(1 / x,x,y / x) = R(1 / x,x,x \ y). [para(115(a,1),4006(a,1,3)),flip(a)]. 4021 ((x \ y) * x) * (y / x) = y * (x \ y). [para(4013(a,1),16(a,1,1))]. 4022 K(x \ y,x) \ 1 = K(x,y / x). [hyper(3223,a,4015,a)]. 4023 K(x,(x * y) / x) = K(y,x) \ 1. [para(13(a,1),4022(a,1,1,1)),flip(a)]. 4024 K(T(x,y),y) = K(y,x) \ 1. [hyper(228,a,3817,a,b,4023,a(flip)),flip(a)]. 4025 K(T(x,y),y) \ 1 = K(y,x). [para(166(a,1),4023(a,1,2)),flip(a)]. 4026 x * K(T(y,x),x) = K(x,y) \ x. [para(4024(a,2),2676(a,1,2))]. 4027 K(T(x,y),y) * K(y,x) = 1. [para(4025(a,1),14(a,1,2))]. 4028 R(x,K(x,y),z) = x. [para(4025(a,1),3795(a,1,2))]. 4029 R(T(x,y),K(x,z),u) = T(x,y). [para(4028(a,1),42(a,2,1))]. 4030 (L(x,y,z) * K(x,u)) * w = L(x,y,z) * (K(x,u) * w). [para(4028(a,1),482(a,1,1,1)),flip(a)]. 4032 K(T(x,y),y) \ 1 != z | K(y,x) = z. [para(4027(a,1),284(a,1,2)),flip(b)]. 4033 (R(T(x,y),z,u) * K(x,w)) * v5 = R(T(x,y),z,u) * (K(x,w) * v5). [para(4029(a,1),483(a,1,1,1)),flip(a)]. 4034 K(x,y) \ x != x * z | K(T(y,x),x) = z. [para(4026(a,1),19(a,1))]. 4035 K(T(x,T(y,x)),T(y,x)) != z | K(x,y) = z. [para(4024(a,2),4032(a,1))]. 4036 R(x,y,T(x,y)) = R(x,y,x). [hyper(18,a,484,a,b,3983,a),flip(a)]. 4038 x \ T(y * x,y) = R(y,x,y). [hyper(1110,a,4036,a)]. 4039 L(R(x,y,x),y,x) = x. [para(4036(a,1),1111(a,1,1))]. 4040 x * R(y,x,y) = T(y * x,y). [para(4036(a,1),1109(a,1,2))]. 4041 T(x * y,x) * T(x,y) = (x * y) * R(x,y,x). [para(4036(a,1),1678(a,1,2)),flip(a)]. 4042 R(x,T(y,x),T(x,y)) = R(x,T(y,x),x). [para(3921(a,1),4036(a,1,3))]. 4043 (L(x,y,x) * y) * x = x * (y * x). [para(4039(a,1),482(a,1,1)),flip(a)]. 4044 R(x,x \ y,x) = (x \ y) \ T(y,x). [para(14(a,1),4038(a,1,2,1)),flip(a)]. 4045 (x * y) \ (x * T(z * y,z)) = L(R(z,y,z),y,x). [para(4038(a,1),102(a,1,1)),flip(a)]. 4046 (x \ T(x * y,y)) * x = T(y * x,y). [hyper(3826,a,4040,a)]. 4047 x \ T(y * x,y) != z | R(y,x,y) = z. [para(4040(a,1),284(a,1,2)),flip(b)]. 4049 T(L(x,y,x) * y,x) = y * x. [hyper(171,a,4043,a,b,xx)]. 4050 (x * (y * x)) / x = L(x,y,x) * y. [hyper(85,a,4043,a)]. 4051 x * T(y,x * y) = L(y,x,y) * x. [hyper(18,a,1321,a,b,4043,a),flip(a)]. 4053 T(x,L(x,y,x) * y) = T(x,y * x). [para(4049(a,1),3921(a,1,2)),flip(a)]. 4054 T((x * y) / x,L(x,y,x)) = y. [hyper(1548,a,4050,a)]. 4055 L(x,y,x) \ ((x * (y * x)) / x) = y. [hyper(71,a,4050,a,b,xx)]. 4056 (x * ((x \ y) * x)) / x != z | (x \ y) * T(x,y) = z. [para(4050(a,2),890(a,1))]. 4057 L(x,T(y / T(x,y),z),x) * T(y / T(x,y),z) = (x * (x * T(T(x,y) \ y,z))) / x. [para(3791(a,1),4050(a,1,1,2)),flip(a)]. 4058 T(x,L(y,x,y)) = T(x,y). [para(4054(a,1),201(a,1,1)),flip(a)]. 4059 T(x,T(y,y * x)) = T(x,y). [hyper(228,a,3950,a,b,4058,a(flip)),flip(a)]. 4060 L(x,y,x) * T(y,x) = y * L(x,y,x). [para(4058(a,1),113(a,1,2))]. 4061 T(x,x * y) * L(T(y,x),z,u) = L(y,z,u) * T(x,x * y). [para(4059(a,1),183(a,1,2,1))]. 4062 T(x,x * y) * R(T(y,x),z,u) = R(y,z,u) * T(x,x * y). [para(4059(a,1),184(a,1,2,1))]. 4065 T((x * y) / x,x * y) = L(y,x,y). [hyper(419,a,4051,a)]. 4066 T(x,y * x) = T(x,x * y). [hyper(17,a,678,a,b,4051,a)]. 4067 T(x,(x \ y) * x) = T(x,y). [hyper(17,a,684,a(flip),b,4051,a)]. 4069 T(x / T(y,x),z) * T(y,y * T(T(y,x) \ x,z)) = L(y,T(x / T(y,x),z),y) * T(x / T(y,x),z). [para(3791(a,1),4051(a,1,2,2))]. 4070 R(T(x,y * R(x,z,u)),z,u) = T(R(x,z,u),R(x,z,u) * y). [hyper(228,a,42,a,b,4066,a(flip)),flip(a)]. 4071 T(x,x * (y / x)) = T(x,y). [para(16(a,1),4066(a,1,2)),flip(a)]. 4072 T(T(x,x * y),z) = T(T(x,z),y * x). [para(4066(a,1),38(a,1,1))]. 4073 T(T(x,y * x),z) = T(T(x,z),x * y). [para(4066(a,2),38(a,1,1))]. 4074 T(x,x * T(y / x,z)) = T(x,x * T(x \ y,z)). [para(409(a,1),4066(a,1,2)),flip(a)]. 4075 x * L(T(y,x * y),z,u) = L(L(y,x,y),z,u) * x. [para(4066(a,2),682(a,1,2,1))]. 4076 ((x \ y) * x) * T(x,y) != z | x * ((x \ y) * x) = z. [para(4067(a,1),219(a,1,2))]. 4077 (((x \ y) * x) / T(x,y)) * x = T((x \ y) * x,x). [para(4067(a,1),3922(a,1,1,2))]. 4078 T(x,y) * (x \ T(x * (y / x),x)) = x * (y / x). [para(4071(a,1),3924(a,1,1))]. 4079 T(x,L(x,y,x) * y) = T(x,x * y). [hyper(228,a,4066,a(flip),b,4053,a)]. 4080 T(x,(x \ y) * T(x,y)) = T(x,(x \ y) * x). [para(684(a,1),4053(a,1,2))]. 4082 R(T(x,x * y),y,T(x,x * y)) = T(x,y). [para(4079(a,1),1346(a,1,1))]. 4083 T(T(x,y),z * x) = T(T(x,y),x * z). [hyper(228,a,38,a,b,4072,a(flip))]. 4084 L(x \ T(x,T(y,x)),T(y,x),x) != z | K(x,y) = z. [para(3815(a,2),4035(a,1))]. 4085 x * K(y \ (y / (x \ z)),y) = (T(y,x / z) \ y) * x. [hyper(228,a,1381,a(flip),b,3918,a),flip(a)]. 4086 T(x,y) * T(T(y,x),x) = y * x. [hyper(228,a,3919,a(flip),b,3946,a)]. 4087 T(x,y) * T(T(y,z),x) = T(y,z) * T(x,y). [para(38(a,1),3946(a,1,2))]. 4088 T(x,T(y,T(z,T(y,x)))) / (T(T(y,x),z) \ x) = T(y,T(z,T(y,x))). [para(3921(a,1),3962(a,1,2,1))]. 4089 T(x,T(y,T(z,T(y,x)))) = T(x,T(y,z)). [hyper(228,a,3941,a(flip),b,3993,a)]. 4090 ((x * y) / x) \ (y * z) = T(y,x) * (y \ z). [hyper(228,a,1404,a,b,4008,a(flip)),flip(a)]. 4092 (x / (x / y)) * x = y * ((y \ x) * y). [hyper(219,a,4012,a)]. 4094 K(x,y) / (K(x,y) / y) = 1 / (1 / y). [hyper(3093,a,4092,a),flip(a)]. 4095 ((x / y) \ T((x / y) * y,y)) * (x / y) = y \ (x * ((y \ x) \ x)). [hyper(228,a,4046,a,b,4017,a(flip)),flip(a)]. 4096 x \ (y * ((x \ y) \ y)) = x * (y / T(x,y)). [hyper(228,a,3961,a(flip),b,4017,a(flip))]. 4097 R(1 / x,x,y / x) = (x \ y) / y. [hyper(228,a,361,a(flip),b,4020,a)]. 4098 (x / y) / (y * (x / y)) = (y \ x) / x. [hyper(228,a,162,a(flip),b,4097,a(flip)),flip(a)]. 4099 ((x \ y) / y) * (x * (y / x)) = y / x. [para(4098(a,1),16(a,1,1))]. 4100 T(x,(x \ y) * T(x,y)) = T(x,y). [hyper(228,a,4067,a(flip),b,4080,a)]. 4101 R(T(x,y),x \ y,T(x,y)) = T(x,x \ y). [para(4100(a,1),1345(a,1,1))]. 4104 T(x,T((y \ z) / z,x)) = T(x,T(y \ 1,x)). [hyper(228,a,3589,a(flip),b,3890,a)]. 4105 T(x,T(y \ 1,x)) = T(x,(y \ z) / z). [hyper(3999,a,4104,a),flip(a)]. 4106 T(x,(y \ z) / z) = T(x,y \ 1). [hyper(3999,a,4105,a),flip(a)]. 4107 T(x,(y \ z) / z) != u | T(x,y \ 1) = u. [para(4105(a,1),3999(a,1))]. 4109 T(x,(y / z) \ 1) = T(x,z / y). [para(64(a,1),4106(a,1,2,1)),flip(a)]. 4110 T(x,((y \ z) / z) \ 1) = T(x,y). [para(61(a,1),4109(a,2,2))]. 4111 T(x \ T(x,(y * z) / z),T(y,u)) = R(x \ T(x,y),y,z). [para(4109(a,1),3674(a,1,1,2))]. 4112 T(x,1 / y) != z | T(x,y \ 1) = z. [para(52(a,1),4107(a,1,2,1))]. 4113 x \ T(x,T(y,y \ x) \ 1) = K(x,y \ 1). [para(3936(a,1),3913(a,1,2,2,1))]. 4114 T(x,T(y,y \ x) \ 1) = x * K(x,y \ 1). [para(4113(a,1),14(a,1,2)),flip(a)]. 4115 K(x,(y \ x) / x) = K(x,y \ 1). [hyper(3641,a,4114,a)]. 4116 K(x \ ((x \ 1) \ y),x) = K(y,(x \ 1) \ 1). [hyper(228,a,3655,a,b,4115,a(flip)),flip(a)]. 4117 K(x \ ((x \ 1) \ y),x) = K(y,x). [hyper(228,a,3236,a(flip),b,4116,a)]. 4118 K(x \ ((1 / x) \ y),x) = K(y,x). [hyper(228,a,3254,a,b,4117,a(flip)),flip(a)]. 4119 K((x \ 1) * y,x) = K(x \ y,x). [para(13(a,1),4117(a,1,1,2)),flip(a)]. 4120 K((1 / x) * y,x) = K(x \ y,x). [para(13(a,1),4118(a,1,1,2)),flip(a)]. 4121 K((x \ 1) \ y,x \ 1) = K(x * y,x \ 1). [para(61(a,1),4120(a,1,1,1)),flip(a)]. 4122 L(T(x,y),T(y,x),x) = T(x,y * x). [hyper(1028,a,3948,a),flip(a)]. 4123 L(x,T(y,x),x) * y = y * T(x,y * x). [para(4122(a,1),183(a,1,2)),flip(a)]. 4124 L(x,T(y,x),x) = L(x,y,x). [hyper(18,a,4051,a(flip),b,4123,a)]. 4125 L(x,(x * y) / x,x) = L(x,y,x). [para(165(a,1),4124(a,1,2)),flip(a)]. 4126 L(x,T(y,x),x) * T(y,x) = y * L(x,y,x). [para(4124(a,2),4060(a,1,1))]. 4127 T(x,y) * T(y,x * y) = x * L(y,x,y). [hyper(228,a,686,a(flip),b,4126,a(flip)),flip(a)]. 4129 T(x,y) * T(y,y * x) = x * L(y,x,y). [para(4066(a,1),4127(a,1,2))]. 4131 (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(3949(a,1),176(a,1,1,2))]. 4132 R(x,y,x) * T(x * y,x) = T(x * y,x) * T(x,y). [para(3934(a,1),3949(a,1,2)),flip(a)]. 4133 R(x,y / x,x) * T(y,x) = T(y,x) * T(x,x \ y). [para(3969(a,1),3949(a,1,2)),flip(a)]. 4134 R(x,x \ y,x) * T(y,x) = T(y,x) * T(x,x \ y). [para(3982(a,1),3949(a,1,2)),flip(a)]. 4135 T(x,x * T(T(x,y) \ y,z)) = T(x,x * T(T(y,x) / x,z)). [para(3939(a,2),4074(a,2,2,2,1)),flip(a)]. 4136 ((x \ y) * x) / T(x,y) = x \ T(y,x). [hyper(18,a,1283,a(flip),b,4077,a)]. 4137 (x \ T(y,x)) * T(x,y) = (x \ y) * x. [para(4136(a,1),16(a,1,1))]. 4139 T(x,y) * (T(y,x) / x) = x * (y / x). [para(1291(a,1),4078(a,1,2))]. 4140 T(x,y) * (y / T(x,y)) = x * (y / x). [para(3937(a,1),4139(a,1,2))]. 4141 T(x,y) * z != x * (y / x) | y / T(x,y) = z. [para(4140(a,1),19(a,1)),flip(a)]. 4142 R(K(x,y),x,z) != u | K(x,y) = u. [para(3811(a,2),4084(a,1))]. 4144 (x * R(x * K(y,x),z,u)) / R(x * K(y,x),z,u) = T(x,R(x * K(y,x),z,u)). [para(1992(a,1),3956(a,1,2,1))]. 4145 T(L(L(x,y,x),z,u) * y,x) = L(x,z,u) * T(y,x). [para(4075(a,1),1702(a,1,1))]. 4146 R(x,y,x) * T(x * y,x) = (x * y) * R(x,y,x). [hyper(228,a,4041,a(flip),b,4132,a)]. 4147 (R(x,y,x) * y) \ ((x * y) * R(x,y,x)) = L(R(x,y,x),y,R(x,y,x)). [para(4146(a,1),4045(a,1,2))]. 4149 R(x,y / x,x) = R(x,x \ y,x). [hyper(18,a,4133,a,b,4134,a),flip(a)]. 4150 R(x,y / x,x) = (x \ y) \ T(y,x). [hyper(228,a,4044,a(flip),b,4149,a)]. 4151 R(x,x \ (y \ x),x) = ((y \ T(x,y \ 1)) * x) / (y \ x). [hyper(228,a,3628,a(flip),b,4149,a(flip))]. 4152 R(x,(x * y) / x,x) = R(x,y,x). [para(13(a,1),4149(a,2,2))]. 4153 R(x,T(y,x),x) = R(x,y,x). [para(166(a,1),4152(a,1,2)),flip(a)]. 4154 R(x,T(y,x),T(x,y)) = R(x,y,x). [hyper(228,a,4042,a,b,4153,a(flip)),flip(a)]. 4155 R(R(x,y,z),T(u,x),T(x,u)) = R(R(x,u,x),y,z). [para(4154(a,1),46(a,1,1)),flip(a)]. 4156 (x \ (y * x)) \ T(y * x,x) = R(x,y,x). [para(15(a,1),4150(a,1,2)),flip(a)]. 4157 (x \ T(y,x \ 1)) * y = (x \ y) * T(y,x \ 1). [para(3870(a,1),4016(a,1,2)),flip(a)]. 4158 L(x,K(y,z),L(y,u,w)) = x. [hyper(445,a,4030,a)]. 4159 (K(x,y) * L(x,z,u)) * w = L(x,z,u) * (K(x,y) * w). [para(3159(a,1),4030(a,1,1))]. 4160 L(x,K(y,z),y) = x. [para(333(a,1),4158(a,1,3))]. 4162 L(x,K(y,z),y) = L(x,u,K(u,w)). [hyper(228,a,3857,a,b,4160,a)]. 4165 L(x,K(y,z),y) != u | u = x. [para(4162(a,2),334(a,1))]. 4167 (T(x,(y / z) / (1 / z)) \ x) * (y / z) = T(y,x) / z. [hyper(228,a,1390,a(flip),b,4085,a(flip))]. 4168 R(x / y,x / (x / y),x / y) = (x * (y \ x)) / x. [hyper(228,a,653,a(flip),b,3915,a)]. 4169 R(x / (x / y),(y * (x / y)) / y,x / (x / y)) = (x * ((x / y) \ x)) / x. [para(3914(a,2),4168(a,1,2))]. 4170 (R(x,y,z) * T(u,x)) * T(x,u) = R(R(x,u,x),y,z) * (u * x). [para(4155(a,1),3931(a,1,1)),flip(a)]. 4171 T(x \ T(x,y),T(y,z)) = R(x \ T(x,y),y,u). [para(15(a,1),4111(a,1,1,2,2))]. 4172 R(x \ T(x,y),y,z) = x \ T(x,y). [hyper(228,a,2534,a(flip),b,4171,a(flip))]. 4173 (x \ T(x,y)) \ (((x * y) / x) * z) = y * z. [para(4172(a,1),3580(a,1,1))]. 4174 L(x,y \ 1,(z * y) / z) = y * ((y \ 1) * x). [hyper(3591,a,4173,a)]. 4175 (x \ T(x,x \ y)) \ y = (x \ y) * x. [para(66(a,1),4173(a,1,2))]. 4177 (x \ ((x \ y) \ y)) \ y = (x \ y) * x. [para(114(a,1),4175(a,1,1,2))]. 4178 x / ((y \ x) * y) = y \ ((y \ x) \ x). [para(4177(a,1),61(a,1,2))]. 4179 (x * (y / x)) / y = y / ((x \ y) * x). [hyper(228,a,3843,a,b,4178,a),flip(a)]. 4180 T(x,y) * ((T(x,y) \ 1) * z) = L(z,T(x,y) \ 1,x). [para(166(a,1),4174(a,1,3)),flip(a)]. 4181 L(x,T(y,z) \ 1,T(y,z)) = L(x,T(y,z) \ 1,y). [hyper(563,a,4180,a)]. 4182 L(x,1 / T(y,y \ z),(y \ z) \ z) = L(x,T(y,y \ z) \ 1,y). [hyper(3061,a,4181,a)]. 4183 R(x,x \ (y \ x),x) = ((y \ x) * T(x,y \ 1)) / (y \ x). [para(4157(a,1),4151(a,2,1))]. 4184 T(x,y \ 1) * (x \ (y * z)) = y * (T(x,y \ 1) * (x \ z)). [para(3744(a,1),3796(a,2,2))]. 4185 T(x,y) * (T(x,x \ 1) \ z) = ((x \ 1) * T(x,y)) * z. [para(3008(a,1),3797(a,1,2))]. 4186 (((x \ 1) \ 1) * T(x \ 1,y)) * z = T(1 / x,y) * ((x \ 1) \ z). [hyper(228,a,3263,a(flip),b,4185,a(flip))]. 4187 (T(x,y) * (y * x)) / T(x,y) != z | T(x,y * x) * T(y,x) = z. [para(3958(a,2),3951(a,1))]. 4188 ((x \ y) * x) * T(x,y) = y * (y / (y / T(x,y))). [para(4137(a,1),3967(a,1,1))]. 4189 x * (x / (x / T(y,x))) = y * ((y \ x) * y). [hyper(4076,a,4188,a),flip(a)]. 4190 x / (x / T(y,x)) = T(x / (x / y),x). [hyper(171,a,4092,a,b,4189,a),flip(a)]. 4191 T(x / (x / y),x) \ x = x / T(y,x). [para(4190(a,1),64(a,1,1))]. 4192 x / T(y \ x,x) = T(x / y,x) \ x. [para(61(a,1),4191(a,1,1,1,2)),flip(a)]. 4193 (((x \ 1) * y) \ y) * ((x \ 1) * y) = x * (y / x). [hyper(228,a,3808,a(flip),b,3991,a)]. 4194 T(x,T(x * T(y / x,z),x)) = T(x,x * T(T(x,y) \ y,z)). [para(1453(a,2),4135(a,2,2)),flip(a)]. 4195 T(x,x * T(T(x,y) \ y,z)) = T(x,x * T(y / x,z)). [hyper(3999,a,4194,a),flip(a)]. 4196 T(x,x * T(T(x,y) \ y,z)) = T(x,x * T(x \ y,z)). [hyper(228,a,4074,a(flip),b,4195,a)]. 4197 L(x,(x * y) / x,x) = L(x,y,T(x,y)). [hyper(228,a,3985,a(flip),b,3760,a(flip))]. 4198 L(x,y,T(x,y)) = L(x,y,x). [hyper(228,a,4125,a(flip),b,4197,a(flip))]. 4199 ((x * y) / x) \ T(y * ((x \ y) \ 1),y) = (x \ y) \ 1. [para(879(a,1),3774(a,1,2))]. 4200 T(x * ((y \ x) \ 1),x) != z * ((y \ x) \ 1) | (y * x) / y = z. [para(4199(a,1),84(a,1,2)),flip(a),flip(b)]. 4201 (x \ T(x,y)) \ z = (T(x,y) \ x) * z. [para(4172(a,1),3831(a,1,1))]. 4202 (T(x,y) \ x) * z = x * (T(x,y) \ z). [hyper(3845,a,4201,a),flip(a)]. 4203 (T(x,y) \ x) * (T(x,y) * z) = x * z. [hyper(3801,a,4201,a),flip(a)]. 4204 (T(x,y) \ x) * z != u | x * (T(x,y) \ z) = u. [para(4201(a,1),3845(a,1))]. 4206 T(x,y) * (x \ z) = y * (T(y,x) \ z). [hyper(228,a,3904,a,b,4202,a(flip)),flip(a)]. 4207 x * (T(x,(y / z) / (1 / z)) \ (y / z)) = T(y,x) / z. [hyper(228,a,4167,a(flip),b,4202,a(flip))]. 4208 x * T(x \ y,z) = z * (T(z,y / x) \ y). [hyper(228,a,3918,a(flip),b,4202,a(flip)),flip(a)]. 4211 (T(x,y) \ x) \ z = T(x,y) * (x \ z). [hyper(71,a,14,a(flip),b,4203,a)]. 4212 T(x,y) * (x \ (T(y,x) * z)) = y * z. [hyper(228,a,3904,a,b,4203,a(flip)),flip(a)]. 4213 ((x * y) / x) \ (T(x,y) * z) = y \ (x * z). [hyper(71,a,4203,a(flip),b,3828,a),flip(a)]. 4215 T(x,y) * (T(y,x) * z) = x * (y * z). [para(4203(a,1),3903(a,1,2)),flip(a)]. 4216 T(x,y) * (x \ (T(y,x) * z)) != u * w | u \ (y * z) = w. [para(4212(a,2),437(a,1))]. 4217 T(x,y) * (T(y,x) * z) = (x * y) * L(z,y,x). [hyper(228,a,100,a,b,4215,a)]. 4218 x * (T(x,y / (z \ 1)) \ y) != u | z \ T(z * y,x) = u. [para(4208(a,1),950(a,1))]. 4219 x \ (y * ((y \ x) * z)) = L(z,y \ x,T(y,x)). [hyper(228,a,3772,a(flip),b,4213,a(flip))]. 4220 L(x,y \ z,T(y,z)) = L(x,y \ z,y). [hyper(707,a,4219,a),flip(a)]. 4221 (x * (y * z)) \ ((x * y) * z) = a(T(x,y),T(y,x),z). [para(4215(a,1),3929(a,1,1))]. 4222 a(T(x,y),T(y,x),z) = a(x,y,z). [hyper(663,a,4221,a),flip(a)]. 4223 a(T(x,y),T(y,x),z) != u | a(x,y,z) = u. [para(4221(a,1),663(a,1))]. 4224 R(T(x,x \ y),x \ 1,y) = ((x \ 1) * y) \ y. [para(54(a,1),3990(a,1,2)),flip(a)]. 4225 R(T(x,T(y,x)),x \ 1,y * x) = ((x \ 1) * (y * x)) \ (y * x). [para(32(a,2),4224(a,1,1,2))]. 4226 (R(x,y,z) * T(u,x)) * T(x,u) = (R(x,y,z) * u) * x. [hyper(228,a,483,a(flip),b,4170,a)]. 4227 T(x * y,x) * T(x,y) = (R(x,y,x) * y) * x. [para(1234(a,1),4226(a,1,1))]. 4228 (R(x,y,x) * y) * x = (x * y) * R(x,y,x). [hyper(228,a,4041,a(flip),b,4227,a(flip))]. 4229 (R(x,y,x) * y) \ ((x * y) * R(x,y,x)) != z | z = x. [para(4228(a,1),284(a,1,2))]. 4230 ((x \ 1) * (y * x)) \ (y * x) = R(T(x,y),x \ 1,y * x). [para(3921(a,1),4225(a,1,1)),flip(a)]. 4231 (((1 / x) * (y * x)) \ (y * x)) \ 1 = 1 / R(T(x,y),x \ 1,y * x). [para(4230(a,1),3129(a,1,2)),flip(a)]. 4232 T(x \ T(x * y,y),T(x * y,y)) = y. [hyper(228,a,4039,a(flip),b,3841,a)]. 4234 K(x,x \ T(x * y,y)) = K(x,y). [para(4232(a,1),3886(a,1,2)),flip(a)]. 4235 K(x,y) = (x * R(y,x,y)) \ T(x * y,y). [hyper(228,a,3827,a,b,4234,a(flip))]. 4236 K(x,y) = T(y * x,y) \ T(x * y,y). [para(4040(a,1),4235(a,2,1))]. 4237 K(x \ T(x * y,x),x) = K(y,x). [hyper(228,a,1298,a(flip),b,4236,a),flip(a)]. 4238 K(x \ T(y,x),x) = K(x \ y,x). [para(14(a,1),4237(a,1,1,2,1))]. 4239 T(x,y) \ ((T(y,x) \ x) * y) = K(y \ x,y). [hyper(228,a,3964,a,b,4238,a(flip)),flip(a)]. 4240 T(x,y) * K(y \ x,y) = (T(y,x) \ x) * y. [para(4239(a,1),14(a,1,2))]. 4242 L(x,T(y,z),T(z,y)) = L(x,y,z). [hyper(3932,a,4217,a)]. 4243 L(x,y \ z,T(y,z / y)) = L(x,z / y,y). [para(115(a,1),4242(a,1,2))]. 4244 L(x,y \ z,T(y,y \ z)) = L(x,z / y,y). [para(3944(a,1),4243(a,1,3))]. 4245 T(x,T(y,z)) / (T(T(y,x),z) \ x) = T(y,T(z,T(y,x))). [para(4089(a,1),4088(a,1,1))]. 4246 T(x,T(y,T(x,z))) = T(x,y). [hyper(228,a,3962,a(flip),b,4245,a(flip))]. 4248 T(x,T(y,z)) * T(y,x) = y * T(x,T(y,z)). [para(4246(a,1),113(a,1,2))]. 4250 T(x / (x / y),T(z,y)) = T(x / (x / y),z). [para(188(a,1),4246(a,1,2,2))]. 4254 T(x,y) \ (x * T(y,T(x,z))) = T(T(y,x),T(x,z)). [hyper(71,a,4248,a(flip),b,3946,a)]. 4255 T(T(T(x,y) / (T(x,y) / y),x),z) = L(T(y,z),y \ T(x,y),y). [para(4250(a,1),4010(a,1,1))]. 4256 ((x / y) \ T(x,y)) * (x / y) = y \ (x * ((y \ x) \ x)). [para(16(a,1),4095(a,1,1,2,1))]. 4257 x \ (y * ((x \ y) \ y)) = ((y * x) / y) * (y / x). [para(3764(a,1),4256(a,1,1)),flip(a)]. 4258 ((x * y) / x) * (x / y) = y * (x / T(y,x)). [hyper(228,a,4096,a(flip),b,4257,a(flip))]. 4259 (x \ y) * (y / T(x \ y,y)) = ((y * (x \ y)) / y) * x. [para(61(a,1),4258(a,1,2)),flip(a)]. 4260 ((x \ y) \ y) * (y / T(T(x,x \ y),y)) = ((y * ((x \ y) \ y)) / y) * (x \ y). [para(114(a,2),4259(a,1,2,2,1))]. 4261 T(1 / x,y) * ((x \ 1) \ z) = (x * T(1 / x,y)) * z. [para(2613(a,1),4186(a,1,1)),flip(a)]. 4262 (T(1 / x,y) * z) / ((x * T(1 / x,y)) * z) = x \ 1. [para(4261(a,1),3284(a,1,2))]. 4263 T(1 / x,y) * ((x * T(1 / x,y)) \ z) = (x \ 1) * z. [para(4262(a,1),235(a,1,1)),flip(a)]. 4264 T(x,y \ 1) * (x \ (y * (T(y \ 1,x) * z))) = L(z,T(y \ 1,x),y). [hyper(228,a,4211,a(flip),b,3895,a(flip)),flip(a)]. 4265 L(R(x,y,x),y,R(x,y,x)) = x. [hyper(4229,a,4147,a)]. 4266 x * (T(y,x \ 1) * (y \ (T(x \ 1,y) * z))) = L(z,T(x \ 1,y),x). [hyper(228,a,4184,a(flip),b,4264,a(flip)),flip(a)]. 4267 L(x,T(y \ 1,z),y) = y * ((y \ 1) * x). [para(4212(a,1),4266(a,1,2)),flip(a)]. 4268 L(x,T(y \ 1,z),y) = L(x,y \ 1,y). [hyper(228,a,190,a(flip),b,4267,a)]. 4270 L(T(1 / x,y) \ z,x \ 1,x) = (x * T(1 / x,y)) \ (x * z). [hyper(228,a,3460,a(flip),b,4268,a(flip))]. 4272 T((x \ 1) * (x * ((y * z) / y)),y) = T(1 / x,y) * ((x * T(1 / x,y)) \ (x * z)). [para(4270(a,1),3350(a,2,2))]. 4273 R(x / (x / y),(y * (x / y)) / y,x / (x / y)) = (x * y) / x. [para(64(a,1),4169(a,2,1,2))]. 4274 T(x,y) * L(T(T(x,y),x) \ y,z,u) = T(T(x,y) * L(x \ y,z,u),x). [para(129(a,1),3787(a,1,1))]. 4275 T(T(x,y) * L(x \ y,z,u),x) = T(x,y) * L(T(x,y) \ y,z,u). [para(129(a,1),4274(a,1,2,1,1)),flip(a)]. 4276 T(T(x,y) * L(x \ y,z,u),x) = T(x * L(x \ y,z,u),y). [hyper(228,a,2039,a(flip),b,4275,a)]. 4277 T(x * L(x \ (x * y),z,u),x * y) = T(T(x,x * y) * L(y,z,u),x). [para(13(a,1),4276(a,1,1,2,1)),flip(a)]. 4278 T(T(x,x * y) * L(y,z,u),x) = T(x * L(y,z,u),x * y). [para(13(a,1),4277(a,1,1,2,1)),flip(a)]. 4279 x * (x * T(T(x,T(y,x)) \ ((y * x) / x),z)) = (x * T(x \ y,z)) * x. [para(32(a,2),3809(a,1,2,2,1,1,2))]. 4280 x * (x * T(T(x,y) \ ((y * x) / x),z)) = (x * T(x \ y,z)) * x. [para(3921(a,1),4279(a,1,2,2,1,1))]. 4281 x * (x * T(T(x,y) \ y,z)) = (x * T(x \ y,z)) * x. [para(15(a,1),4280(a,1,2,2,1,2))]. 4282 ((x \ y) \ y) * (y / T(T(x,x \ y),y)) = x \ (y * ((x \ y) \ y)). [hyper(228,a,1723,a(flip),b,4260,a)]. 4283 ((x \ y) \ y) * (y / T(T(x,x \ y),y)) = x * (y / T(x,y)). [hyper(228,a,4096,a(flip),b,4282,a)]. 4284 T(x,R(x * K(y,x),z,u)) = x. [hyper(295,a,4144,a)]. 4286 T((x \ 1) * (x * ((y * z) / y)),y) = (x \ 1) * (x * z). [hyper(228,a,4263,a(flip),b,4272,a)]. 4287 L((x \ 1) * y,K(x,x \ 1),z) = (x \ 1) * (x * (x \ y)). [hyper(3678,a,4286,a)]. 4289 L((x \ 1) * y,K(x,x \ 1),z) = (x \ 1) * y. [hyper(228,a,86,a(flip),b,4287,a)]. 4291 (x * ((1 / y) * z)) / ((y \ 1) * z) = x * K(y,y \ 1). [para(4289(a,1),3057(a,1,2))]. 4292 R(x,K(y \ 1,y),(1 / y) * z) = K(y \ 1,y) * (x * K(y,y \ 1)). [para(4291(a,1),3691(a,1,2)),flip(a)]. 4294 R(x,K(y \ 1,y),(1 / y) * z) = x. [hyper(228,a,2910,a(flip),b,4292,a)]. 4298 R(x,K(y \ 1,y),z) = x. [para(14(a,1),4294(a,1,3))]. 4301 R(x,y,K(z \ 1,z)) = x. [hyper(228,a,3538,a(flip),b,4298,a(flip)),flip(a)]. 4302 (x * K(y \ 1,y)) * z = x * (K(y \ 1,y) * z). [para(4298(a,1),109(a,1,1)),flip(a)]. 4303 R(x,K(y,y \ 1),z) = x. [para(813(a,1),4298(a,1,2))]. 4304 K(x \ 1,x) * ((y * K(x \ 1,x)) \ z) = y \ z. [para(4298(a,1),280(a,1,1)),flip(a)]. 4309 T(x,y / (1 / z)) = T(x,y / (z \ 1)). [hyper(228,a,3510,a(flip),b,4301,a(flip))]. 4310 x / (y * K(z \ 1,z)) = K(z,z \ 1) * (x / y). [hyper(228,a,3477,a(flip),b,4301,a(flip)),flip(a)]. 4311 T(x,y * K(z \ 1,z)) = T(x,y). [hyper(228,a,3443,a(flip),b,4301,a(flip))]. 4312 R(x,y,(z \ 1) \ 1) = R(x,y,z). [hyper(228,a,3334,a(flip),b,4301,a(flip))]. 4313 (x * K(y,y \ 1)) / z = x / (z * K(y \ 1,y)). [hyper(228,a,2929,a(flip),b,4301,a(flip))]. 4314 R(x,y,K(z,1 / z)) = x. [para(64(a,1),4301(a,1,3,1))]. 4315 (x * y) * K(z \ 1,z) = x * (y * K(z \ 1,z)). [para(4301(a,1),109(a,1,1)),flip(a)]. 4316 (x \ 1) * K(y \ 1,y) = x \ K(y \ 1,y). [para(4301(a,1),391(a,1,1)),flip(a)]. 4317 x \ (y * K(z \ 1,z)) = (x \ y) * K(z \ 1,z). [para(4301(a,1),472(a,1,1))]. 4319 R(x,y,K(z,z \ 1)) = x. [para(813(a,1),4301(a,1,3))]. 4320 R(x,y,K(1 / z,z)) = x. [para(1885(a,2),4301(a,1,3))]. 4321 x \ (K(y \ 1,y) * z) = (x \ z) * K(y \ 1,y). [para(4301(a,1),2372(a,1,1))]. 4322 (x * K(y,y \ 1)) * z = x * (K(y,y \ 1) * z). [para(4303(a,1),109(a,1,1)),flip(a)]. 4323 x / (y * K(1 / z,z)) = K(z,1 / z) * (x / y). [hyper(228,a,3692,a(flip),b,4314,a(flip))]. 4324 (x * y) * K(z,1 / z) = x * (y * K(z,1 / z)). [para(4314(a,1),109(a,1,1)),flip(a)]. 4329 T(x,y * K(z,z \ 1)) = T(x,y). [hyper(228,a,3428,a(flip),b,4319,a(flip))]. 4331 (x * y) * K(z,z \ 1) = x * (y * K(z,z \ 1)). [para(4319(a,1),109(a,1,1)),flip(a)]. 4332 (x \ 1) * K(y,y \ 1) = x \ K(y,y \ 1). [para(4319(a,1),391(a,1,1)),flip(a)]. 4333 x \ (y * K(z,z \ 1)) = (x \ y) * K(z,z \ 1). [para(4319(a,1),472(a,1,1))]. 4334 x \ (K(y,y \ 1) * z) = (x \ z) * K(y,y \ 1). [para(4319(a,1),2364(a,1,1))]. 4335 (x * y) * K(1 / z,z) = x * (y * K(1 / z,z)). [para(4320(a,1),109(a,1,1)),flip(a)]. 4336 (x * y) \ ((x * (y * z)) * K(1 / u,u)) = L(z,y,x) * K(1 / u,u). [para(4320(a,1),512(a,1,1))]. 4338 T(x,K(y \ 1,y) * z) = T(x,z). [para(2353(a,2),4311(a,1,2))]. 4339 T(x,y * (((y \ z) \ 1) \ 1)) = T(x,z). [para(2451(a,1),4311(a,1,2))]. 4340 T(x,y * (1 / z)) = T(x,y * (z \ 1)). [para(2812(a,1),4311(a,1,2)),flip(a)]. 4341 T(x,y * (1 / (1 / z))) = T(x,y * z). [para(2922(a,1),4311(a,1,2))]. 4342 T(x,((y \ 1) \ 1) \ z) = T(x,y \ z). [para(3014(a,1),4311(a,1,2))]. 4343 T(x,(1 / y) \ z) = T(x,(y \ 1) \ z). [para(3021(a,1),4311(a,1,2))]. 4344 T(x,(1 / y) * z) = T(x,(y \ 1) * z). [para(3027(a,1),4311(a,1,2)),flip(a)]. 4345 T(x,(y \ 1) \ K(z,y)) = T(x,y * K(z,y)). [para(3051(a,1),4311(a,1,2)),flip(a)]. 4346 T(x,y \ ((z \ 1) \ 1)) = T(x,y \ z). [para(3683(a,1),4311(a,1,2)),flip(a)]. 4348 R(x,y,T(z,z \ 1)) = R(x,y,z). [para(114(a,2),4312(a,1,3))]. 4350 R(x,y,z) * (y * ((z \ 1) \ 1)) = (x * y) * ((z \ 1) \ 1). [para(4312(a,1),109(a,1,1))]. 4351 T(x,R(1 / y,z,u) * K(w,w \ 1)) = T(x,R(y \ 1,z,u)). [hyper(228,a,3371,a(flip),b,4329,a)]. 4353 T(x,T(y,y \ 1) * z) = T(x,y * z). [para(2974(a,1),4329(a,1,2))]. 4356 (x \ (y / z)) \ (x \ y) = R(z,y \ 1,x). [hyper(228,a,2005,a(flip),b,4348,a(flip)),flip(a)]. 4358 x * (T(x,(y / z) / (z \ 1)) \ (y / z)) = T(y,x) / z. [para(4309(a,1),4207(a,1,2,1))]. 4359 T(x,y \ (1 / z)) = T(x,y \ (z \ 1)). [para(64(a,1),4346(a,1,2,2,1)),flip(a)]. 4360 K(x \ 1,x) * (y \ 1) = y \ K(x \ 1,x). [hyper(2361,a,4316,a)]. 4361 K(x,x \ 1) * (y \ 1) = y \ K(x,x \ 1). [hyper(2343,a,4332,a)]. 4362 x \ K(y \ 1,y) = (x \ (y \ 1)) * y. [hyper(228,a,3215,a(flip),b,4360,a(flip))]. 4363 (x \ ((y \ z) \ 1)) * (y \ z) = x \ K(z \ y,y \ z). [para(2786(a,1),4362(a,1,2)),flip(a)]. 4364 x \ K(y,y \ 1) = (x \ y) * (1 / y). [hyper(228,a,2950,a(flip),b,4361,a(flip))]. 4365 x \ K(y * z,z \ (y \ 1)) = (x \ (y * z)) * (1 / (y * z)). [para(118(a,1),4364(a,1,2,2))]. 4366 (x \ (y / z)) * (1 / (y / z)) = x \ K(z \ y,y \ z). [para(3298(a,1),4364(a,1,2)),flip(a)]. 4368 K(x \ 1,x) * (y * z) = y * (K(x \ 1,x) * z). [hyper(228,a,3448,a(flip),b,4302,a(flip)),flip(a)]. 4369 (x * K(y \ 1,y)) \ z = K(y,y \ 1) * (x \ z). [hyper(2934,a,4304,a),flip(a)]. 4370 (K(x,x \ 1) * y) \ z = K(x \ 1,x) * (y \ z). [para(2926(a,1),4304(a,1,2,1)),flip(a)]. 4371 K(x \ 1,x) * (((x \ 1) * y) \ z) = ((1 / x) * y) \ z. [para(3027(a,1),4304(a,1,2,1))]. 4372 x \ (y * K(z \ 1,z)) = K(z \ 1,z) * (x \ y). [para(3501(a,1),4304(a,1,2)),flip(a)]. 4374 x / (y * K(z \ 1,z)) = (x / y) * K(z,z \ 1). [hyper(228,a,2341,a(flip),b,4310,a)]. 4376 (x * K(y,y \ 1)) / (z * ((y \ 1) \ 1)) = x / (z * y). [para(2877(a,1),4313(a,2,2))]. 4377 K(L(x,y,z) \ 1,x) = K(x \ 1,x). [hyper(2414,a,4315,a)]. 4378 K(x \ 1,x) * (y * z) = y * (z * K(x \ 1,x)). [hyper(2361,a,4315,a)]. 4379 L(K(x \ 1,x),y,z) = K(x \ 1,x). [hyper(445,a,4315,a)]. 4380 (x * y) * K(z \ 1,z) = x * (K(z \ 1,z) * y). [hyper(228,a,2369,a,b,4315,a)]. 4381 a(x,y,K(z \ 1,z)) = 1. [hyper(70,a,4315,a(flip),b,89,a),flip(a)]. 4383 (x * (y * K(z \ 1,z))) * u = K(z \ 1,z) * ((x * y) * u). [para(4315(a,1),3448(a,1,1))]. 4384 (x * (y * K(z \ 1,z))) \ u = (x * y) \ (K(z,z \ 1) * u). [para(4315(a,1),3471(a,1,1))]. 4385 x / (y * (z * K(u \ 1,u))) = K(u,u \ 1) * (x / (y * z)). [para(4315(a,1),4310(a,1,2))]. 4386 a(x,y,K(z,z \ 1)) = 1. [para(813(a,1),4381(a,1,3))]. 4387 L(K(x,x \ 1),y,z) = K(x,x \ 1). [hyper(33,a,4386,a)]. 4388 K(L(x,y,z) \ 1,x) = (x \ 1) * x. [hyper(228,a,189,a(flip),b,4377,a)]. 4392 L(K(x \ y,y \ x),z,u) = K((y \ x) \ 1,y \ x). [para(2786(a,1),4379(a,1,1))]. 4395 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = K(x,x \ 1). [hyper(228,a,2765,a,b,4387,a(flip)),flip(a)]. 4399 K(L(x,y,z) \ 1,x) != u | K(x \ 1,x) = u. [para(4388(a,2),315(a,1))]. 4400 L(K(x \ 1,x),y,z) != u | K(x \ 1,x) = u. [para(2362(a,2),4399(a,1))]. 4401 (K(x,x \ 1) * y) \ z = (y \ z) * K(x \ 1,x). [hyper(228,a,3472,a,b,4317,a(flip)),flip(a)]. 4402 (x \ (1 / y)) * K(y \ 1,y) = x \ (y \ 1). [para(725(a,1),4317(a,1,2)),flip(a)]. 4403 K(x,x \ 1) * (y \ (x \ 1)) = y \ (1 / x). [hyper(2936,a,4402,a)]. 4404 x \ (K(y \ 1,y) * z) = K(y \ 1,y) * (x \ z). [hyper(228,a,2353,a,b,4321,a)]. 4406 K(x,x \ 1) * (y * z) = y * (K(x,x \ 1) * z). [hyper(228,a,3422,a(flip),b,4322,a(flip)),flip(a)]. 4407 (x * K(y,y \ 1)) * z = x * (z * K(y,y \ 1)). [para(2341(a,1),4322(a,2,2))]. 4409 K(x,1 / x) * (y / x) = y / (1 / (1 / x)). [para(1888(a,1),4323(a,1,2)),flip(a)]. 4410 (K(x,1 / x) * y) * z = y * (z * K(x,1 / x)). [hyper(18,a,3478,a(flip),b,4324,a)]. 4411 K(x,1 / x) * (y * z) = y * (z * K(x,1 / x)). [hyper(228,a,2351,a,b,4324,a(flip)),flip(a)]. 4412 T(x,y * (z * K(u,u \ 1))) = T(x,y * z). [para(4331(a,1),4329(a,1,2))]. 4413 T(x,y * (z * (1 / u))) = T(x,y * (z * (u \ 1))). [para(2920(a,1),4412(a,1,2,2))]. 4415 x \ (K(y,y \ 1) * z) = K(y,y \ 1) * (x \ z). [hyper(228,a,2341,a,b,4334,a)]. 4416 L(K(1 / x,x),y,z) = K(1 / x,x). [hyper(445,a,4335,a)]. 4417 K(x,x \ 1) * (y * (K(x \ 1,x) * z)) = y * z. [hyper(2934,a,4368,a)]. 4423 x \ (y * (K(z \ 1,z) * u)) = (x \ (y * u)) * K(z \ 1,z). [para(4368(a,1),4321(a,1,2))]. 4424 T(1 / ((x * K(y \ 1,y)) * z),x * K(y \ 1,y)) = K(y,y \ 1) * (x \ (1 / z)). [hyper(384,a,4369,a)]. 4425 (K(x \ 1,x) * y) \ z = K(x,x \ 1) * (y \ z). [para(2353(a,2),4369(a,1,1))]. 4426 K(x,x \ 1) * (((x \ 1) \ y) \ z) = ((1 / x) \ y) \ z. [para(3021(a,1),4369(a,1,1)),flip(a)]. 4427 T(x,(K(y,y \ 1) * z) \ u) = T(x,z \ u). [para(4370(a,2),4338(a,1,2))]. 4428 T(x,(y * (1 / z)) \ u) = T(x,(y * (z \ 1)) \ u). [para(2932(a,1),4427(a,1,2,1))]. 4429 T(x,(((y \ 1) \ 1) \ z) \ u) = T(x,(y \ z) \ u). [para(2982(a,1),4427(a,1,2,1)),flip(a)]. 4430 K(x \ 1,x) * (y \ (1 / z)) = y \ ((x \ 1) * (x / z)). [para(3080(a,1),4372(a,1,2)),flip(a)]. 4432 (x * y) \ (x * (K(z \ 1,z) * (y * u))) = L(u * K(z \ 1,z),y,x). [para(4378(a,2),28(a,2,2,2)),flip(a)]. 4434 (x * (K(y \ 1,y) * z)) \ u = K(y,y \ 1) * ((x * z) \ u). [para(4380(a,1),4369(a,1,1))]. 4435 K(x \ 1,x) * (y \ (z \ 1)) = y \ ((z \ (x \ 1)) * x). [para(3215(a,1),4404(a,1,2)),flip(a)]. 4436 (x \ 1) * (K(y,y \ 1) * z) = ((x \ y) * (1 / y)) * z. [hyper(3512,a,4406,a)]. 4438 (x * ((K(y,y \ 1) * z) * u)) \ ((K(y,y \ 1) * (x * z)) * u) = a(x,K(y,y \ 1) * z,u). [para(4406(a,2),24(a,2,2,1)),flip(a)]. 4440 K(x,x \ 1) * (y * (z * (x \ 1))) = y * (z * (1 / x)). [para(2932(a,1),4406(a,2,2))]. 4441 K(x,x \ 1) * (y * (z / (1 / x))) = y * (z / (x \ 1)). [para(2933(a,1),4406(a,2,2))]. 4442 K(x,x \ 1) * (y * ((1 / x) \ z)) = y * ((x \ 1) \ z). [para(3019(a,1),4406(a,2,2))]. 4443 x \ (y * (K(z,z \ 1) * u)) = (x \ (y * u)) * K(z,z \ 1). [para(4406(a,1),4334(a,1,2))]. 4444 (x * (K(y,y \ 1) * z)) \ u = ((x * z) \ u) * K(y \ 1,y). [para(4406(a,1),4401(a,1,1))]. 4445 (x / y) * (z * K(y,1 / y)) = (x / (1 / (1 / y))) * z. [para(4409(a,1),4410(a,1,1)),flip(a)]. 4447 x \ (K(y,y \ 1) * z) != u | (x \ z) * K(y,y \ 1) = u. [para(4415(a,2),2347(a,1))]. 4450 K((x \ y) \ 1,x \ y) != z | K(y \ x,x \ y) = z. [para(4392(a,1),334(a,1)),flip(b)]. 4451 L(K(x \ y,y \ x),z,u) != w | K(x \ y,y \ x) = w. [para(4392(a,2),4450(a,1))]. 4452 x \ T(x * (y / x),z) = T(y,z) / x. [hyper(4218,a,4358,a)]. 4453 T(x * (y / x),z) = x * (T(y,z) / x). [para(4452(a,1),14(a,1,2)),flip(a)]. 4454 T(x * y,z) / y = y \ T(y * x,z). [para(15(a,1),4452(a,1,2,1,2)),flip(a)]. 4455 (x \ T(x * (y / x),z)) * x = T(y,z). [para(4452(a,2),16(a,1,1))]. 4456 T((x \ y) * x,z) / x = x \ T(y,z). [para(60(a,1),4452(a,1,2,1)),flip(a)]. 4457 x * (y * (T(z,x) / y)) = (y * (z / y)) * x. [para(4452(a,1),169(a,1,2,2))]. 4461 x * (T(y * x,z) / x) = T(x * y,z). [para(15(a,1),4453(a,1,1,2)),flip(a)]. 4462 T(x * (y / x),y) = x * (y / x). [para(112(a,1),4453(a,2,2,1))]. 4463 (x \ y) * (T(y,z) / (x \ y)) = T((x \ y) * x,z). [para(61(a,1),4453(a,1,1,2)),flip(a)]. 4466 T(x * (y / x),K(y,z)) = x * (y / x). [para(3154(a,1),4453(a,2,2,1))]. 4467 T(x,y * (x / y)) = x. [hyper(35,a,4462,a)]. 4468 T(x * (y / x),y) / y = y / ((x \ y) * x). [para(4462(a,2),4179(a,1,1))]. 4469 T((x \ y) * x,y) = (x \ y) * x. [para(60(a,1),4467(a,1,2))]. 4470 (x \ 1) * T((x \ 1) \ y,z) = T(y * x,z) / x. [hyper(228,a,868,a,b,4454,a),flip(a)]. 4471 (x \ T(x * y,z)) * x = T(y * x,z). [para(4454(a,1),16(a,1,1))]. 4472 T(x \ T(x * y,z),x) = x \ T(y * x,z). [para(4454(a,1),115(a,1,1))]. 4474 T(K(x,y) * (y * x),z) / (y * x) = (y * x) \ T(x * y,z). [para(93(a,1),4454(a,2,2,1))]. 4475 x * (y \ T(y * (x \ z),x)) = ((x \ (z * y)) * x) / y. [para(4454(a,1),3650(a,1,2))]. 4476 K(x \ 1,x) * T(K(x,x \ 1) * y,z) = T(y,z). [hyper(228,a,2938,a,b,4455,a(flip)),flip(a)]. 4477 T((x \ y) * x,z) = (x \ T(y,z)) * x. [para(60(a,1),4455(a,1,1,2,1)),flip(a)]. 4478 x \ T((x \ y) * x,z) = T(x \ T(y,z),x). [para(4456(a,1),115(a,1,1)),flip(a)]. 4482 T(x,y) / R(x,z,u) = R(x,z,u) \ T(x,y). [para(3528(a,1),4456(a,1,1,1))]. 4484 T(x,T(y * x,z)) = T(x,T(x * y,z)). [para(4461(a,1),4071(a,1,2)),flip(a)]. 4485 T(K(x,y),z * (x / z)) = K(x,y). [hyper(35,a,4466,a)]. 4486 T(K(x * y,z),y * x) = K(x * y,z). [para(15(a,1),4485(a,1,2,2))]. 4492 T((x \ y) * x,z) != u * x | x \ T(y,z) = u. [para(4477(a,2),20(a,1))]. 4493 x * ((y \ T(z,x)) * y) = ((y \ z) * y) * x. [para(4477(a,1),113(a,1,2))]. 4494 T((x \ (y / z)) * x,z) = (x \ (z \ y)) * x. [para(115(a,1),4477(a,2,1,2))]. 4495 T((x \ y) * x,z) / x != u | x \ T(y,z) = u. [para(4477(a,2),295(a,1,1)),flip(b)]. 4496 ((x * T((y \ z) * y,x)) / x) * (T(x,y) \ x) = (y \ (z * (T(x,y) \ x))) * y. [para(4477(a,2),3732(a,1,1,1,2))]. 4497 K(x * y,z) * (y * x) = (y * x) * K(x * y,z). [para(4486(a,1),113(a,1,2)),flip(a)]. 4498 (x * ((y / z) / x)) * z = z * (x * ((z \ y) / x)). [para(115(a,1),4457(a,1,2,2,1)),flip(a)]. 4499 (x * (((y * z) / y) / x)) * y = y * (x * (z / x)). [para(165(a,1),4457(a,1,2,2,1)),flip(a)]. 4500 x / ((((y \ 1) * x) \ x) * ((y \ 1) * x)) = T((y \ x) * y,x) / x. [para(3645(a,1),4468(a,1,1,1)),flip(a)]. 4503 (R(x,y,z) \ T(x,u)) \ T(x,u) = R(x,y,z). [para(4482(a,1),64(a,1,1))]. 4504 ((x \ (y / z)) * x) * z = z * ((x \ (z \ y)) * x). [para(115(a,1),4493(a,1,2,1,2)),flip(a)]. 4506 (x * ((y \ (x \ z)) * y)) / x = (y \ (z / x)) * y. [para(4494(a,1),166(a,1,1,2))]. 4508 (x \ y) \ T((x \ y) * x,z) != u | T(y,z) / (x \ y) = u. [para(4463(a,1),284(a,1,2)),flip(b)]. 4509 ((x * ((y * x) \ y)) \ 1) * T(((x * ((y * x) \ y)) \ 1) \ (1 / ((y * x) \ y)),z) = T(x,z) / (x * ((y * x) \ y)). [para(1509(a,1),4470(a,2,1,1))]. 4510 (x \ 1) * T((x \ 1) \ (x \ y),z) != u | x \ T(y,z) = u. [para(4470(a,2),4495(a,1))]. 4511 T(K(x,x \ 1) * y,z) = K(x,x \ 1) * T(y,z). [hyper(2934,a,4476,a),flip(a)]. 4512 T(K(x,x \ 1) * y,z) = T(y,z) * K(x,x \ 1). [hyper(2928,a,4476,a),flip(a)]. 4515 (x * (y \ z)) * (u * (((x * (y \ z)) \ z) / u)) = ((u * ((y / x) / u)) * x) * (y \ z). [hyper(228,a,3733,a(flip),b,4498,a(flip))]. 4516 (x * ((y / (y * z)) / x)) * (y * z) = (y * z) * (x * (L(z \ 1,z,y) / x)). [para(161(a,2),4498(a,2,2,2,1))]. 4517 ((x \ (y * (z \ 1))) * x) / (z \ 1) = z * ((x \ (z \ y)) * x). [hyper(228,a,3558,a,b,4504,a(flip)),flip(a)]. 4518 ((x \ R(1 / y,y,z)) * x) * (y * z) = (y * z) * ((x \ ((y * z) \ z)) * x). [para(162(a,2),4504(a,1,1,1,2))]. 4519 (x * ((y \ z) * y)) / x = (y \ ((x * z) / x)) * y. [para(13(a,1),4506(a,1,1,2,1,2))]. 4520 ((x \ (y / z)) * x) * z != u | z * ((x \ (z \ y)) * x) = u. [para(4506(a,1),215(a,1,1)),flip(b)]. 4522 T(x * K(y,y \ 1),z) = K(y,y \ 1) * T(x,z). [para(2341(a,1),4511(a,1,1))]. 4524 T(((x \ 1) \ 1) \ y,z) * K(x,x \ 1) = T(x \ y,z). [para(2982(a,1),4512(a,1,1)),flip(a)]. 4525 (x \ ((x * y) / x)) * x = (x \ y) * T(x,y). [hyper(4056,a,4519,a),flip(a)]. 4526 (1 / (1 / x)) / (y * x) = x / (y * ((x \ 1) \ 1)). [para(1847(a,1),4376(a,1,1)),flip(a)]. 4528 K(x \ 1,x) * ((y \ (1 / z)) / u) = (y \ ((x \ 1) * (x / z))) / u. [para(4430(a,1),3447(a,1,1)),flip(a)]. 4529 x \ ((y \ (z \ 1)) * z) = ((y * x) \ (z \ 1)) * z. [hyper(228,a,3216,a(flip),b,4435,a(flip))]. 4530 (((x \ y) * z) \ (x \ 1)) * x = z \ ((y \ 1) * x). [para(249(a,1),4529(a,1,2,1)),flip(a)]. 4531 (x \ 1) * (y * K(z,z \ 1)) = ((x \ z) * (1 / z)) * y. [para(2341(a,1),4436(a,1,2))]. 4532 ((x \ (y / (z \ 1))) * x) * (z \ 1) = ((x \ (y * z)) * x) / z. [hyper(228,a,1299,a,b,4475,a(flip)),flip(a)]. 4533 T(x,T(((y \ 1) \ 1) \ z,u)) = T(x,T(y \ z,u)). [para(4524(a,1),4329(a,1,2)),flip(a)]. 4534 T(x,T((1 / y) \ z,u)) = T(x,T((y \ 1) \ z,u)). [para(64(a,1),4533(a,1,2,1,1,1)),flip(a)]. 4535 (x * y) * ((z \ 1) \ 1) != u * (y * ((z \ 1) \ 1)) | R(x,y,z) = u. [para(4350(a,1),20(a,1))]. 4536 (x * (y \ 1)) * ((y \ 1) \ 1) != z | R(x,y \ 1,y) = z. [para(4350(a,1),154(a,1)),flip(b)]. 4538 (x \ (x / y)) \ 1 != z | R(y,x \ 1,x) = z. [para(627(a,1),4536(a,1))]. 4540 T(x,R(K(y,y \ 1) * (1 / z),u,w)) = T(x,R(z \ 1,u,w)). [para(3547(a,2),4351(a,1,2))]. 4541 x \ K((y / z) * u,u \ (z * (y \ 1))) = (x \ ((y / z) * u)) * (1 / ((y / z) * u)). [para(120(a,1),4365(a,1,2,2,2))]. 4542 (x * (y * K(z \ 1,z))) \ u = (x * y) \ (K(z \ 1,z) \ u). [hyper(71,a,57,a(flip),b,4383,a)]. 4543 (x * y) \ (K(z,z \ 1) * (x * (K(z \ 1,z) * (y * u)))) = L(u,y * K(z \ 1,z),x). [hyper(3493,a,4384,a),flip(a)]. 4544 K(x \ 1,x) * (y / (z * (u * K(x \ 1,x)))) = y / (z * u). [hyper(2919,a,4385,a(flip))]. 4545 x / (y * (z * K(u \ 1,u))) != w | (x / (y * z)) * K(u,u \ 1) = w. [para(4385(a,2),2347(a,1))]. 4546 (x * y) \ (x * (K(z \ 1,z) * (y * u))) = L(u,y,x) * K(z \ 1,z). [para(28(a,2),4423(a,2,1))]. 4547 ((x * (y * (K(z,z \ 1) * u))) \ ((x * y) * u)) * K(z,z \ 1) = a(x,y,K(z,z \ 1) * u). [hyper(663,a,4443,a),flip(a)]. 4548 (x \ 1) * ((y \ ((x \ 1) \ z)) * y) = ((y \ (z * x)) * y) / x. [hyper(4520,a,4532,a)]. 4549 T(x,R(K(y,y \ 1) / z,u,w)) = T(x,R(z \ 1,u,w)). [para(3431(a,1),4540(a,1,2,1))]. 4550 T(x,R(y \ K(z,z \ 1),u,w)) = T(x,R(y \ 1,u,w)). [hyper(228,a,3378,a(flip),b,4549,a(flip)),flip(a)]. 4552 (x * K(y \ 1,y)) \ (z \ 1) = (z * x) \ (K(y \ 1,y) \ 1). [hyper(228,a,118,a(flip),b,4542,a(flip)),flip(a)]. 4553 x / (K(y,y \ 1) * z) = K(y \ 1,y) * (x / z). [para(2923(a,1),4544(a,1,2,2)),flip(a)]. 4554 x / (y * K(z,z \ 1)) = K(z \ 1,z) * (x / y). [para(2341(a,1),4553(a,1,2))]. 4555 (x * K(y \ 1,y)) \ (z \ 1) = (z * x) \ K(y,y \ 1). [para(404(a,1),4552(a,2,2))]. 4556 (x * K(y \ 1,y)) \ (z \ 1) = ((z * x) \ y) * (1 / y). [hyper(228,a,4364,a(flip),b,4555,a)]. 4557 x \ (K(y,y \ 1) * (z \ 1)) = ((z * x) \ y) * (1 / y). [hyper(228,a,3471,a(flip),b,4556,a(flip)),flip(a)]. 4558 ((x * y) \ x) * (1 / x) = y \ (1 / x). [para(1872(a,1),4557(a,1,2)),flip(a)]. 4559 x \ ((y \ z) * (1 / z)) = ((y * x) \ z) * (1 / z). [para(2950(a,1),4557(a,1,2))]. 4561 x \ (1 / y) != z * (1 / y) | (y * x) \ y = z. [para(4558(a,1),20(a,1))]. 4562 ((x * y) \ (x * z)) * (1 / (x * z)) = y \ (z * (1 / (x * z))). [para(13(a,1),4559(a,1,2,1)),flip(a)]. 4563 x \ ((y \ z) * (1 / z)) != u * (1 / z) | (y * x) \ z = u. [para(4559(a,2),20(a,1))]. 4565 T((x \ y) * x,y) / y = y / (x * (y / x)). [para(4193(a,1),4500(a,1,2)),flip(a)]. 4566 ((x \ y) * x) / y = y / (x * (y / x)). [para(4469(a,1),4565(a,1,1))]. 4567 ((x \ y) * x) / y = x \ (y / (y / x)). [hyper(228,a,3917,a(flip),b,4566,a)]. 4568 (1 / x) * ((y \ x) * y) = y \ (x / (x / y)). [hyper(228,a,3728,a,b,4567,a(flip)),flip(a)]. 4569 L((x \ ((y \ 1) \ 1)) * x,y \ 1,y) = y * (x \ (y / (y / x))). [para(4568(a,1),3689(a,2,2))]. 4570 (x * y) \ (x * ((y * z) * K(1 / u,u))) = L(z,y,x) * K(1 / u,u). [para(4335(a,1),4336(a,1,2))]. 4571 L(x * K(y \ 1,y),z,u) = L(x,z,u) * K(y \ 1,y). [hyper(228,a,4432,a(flip),b,4546,a(flip)),flip(a)]. 4572 L(x * K(y \ 1,y),z,u) = K(y \ 1,y) * L(x,z,u). [hyper(228,a,2353,a,b,4571,a)]. 4575 K(x \ 1,x) * L(y * K(x,x \ 1),z,u) = L(y,z,u). [para(2911(a,1),4572(a,1,1)),flip(a)]. 4576 L(x * K(y,y \ 1),z,u) = K(y,y \ 1) * L(x,z,u). [hyper(2934,a,4575,a),flip(a)]. 4577 L(x * K(y,y \ 1),z,u) = L(x,z,u) * K(y,y \ 1). [hyper(2928,a,4575,a),flip(a)]. 4578 (x \ L(x * (y / x),z,u)) * x = L(y,z,u). [hyper(228,a,3260,a(flip),b,4575,a(flip)),flip(a)]. 4580 (x \ L(x * y,z,u)) * x = L(y * x,z,u). [para(15(a,1),4578(a,1,1,2,1,2))]. 4581 L(x * (y / x),z,u) = x * (L(y,z,u) / x). [para(4578(a,1),60(a,1,2,1)),flip(a)]. 4582 L((x \ y) * x,z,u) = (x \ L(y,z,u)) * x. [para(60(a,1),4578(a,1,1,2,1)),flip(a)]. 4583 L(x * y,z,u) != w * y | y \ L(y * x,z,u) = w. [para(4580(a,1),20(a,1))]. 4584 (x * y) * ((z \ L(u,y,x)) * z) = x * (y * ((z \ u) * z)). [para(4582(a,1),100(a,1,2))]. 4585 L((x \ ((y \ 1) \ z)) * x,y \ 1,y) = (x \ (y * z)) * x. [para(460(a,1),4582(a,2,1,2))]. 4586 L((x \ ((y \ z) \ u)) * x,y \ z,y) = (x \ (z \ (y * u))) * x. [para(458(a,1),4582(a,2,1,2))]. 4588 K(x,x \ 1) * L(x,y,z) = L(T(x,x \ 1),y,z). [para(432(a,1),4576(a,1,1)),flip(a)]. 4589 x \ L(y * K(z,z \ 1),u,w) = (x \ L(y,u,w)) * K(z,z \ 1). [para(4576(a,2),4334(a,1,2))]. 4590 x * (L(x,y,z) * (1 / x)) = L(T(x,x \ 1),y,z). [hyper(228,a,2073,a(flip),b,4588,a(flip)),flip(a)]. 4591 x * (L(x,y,z) * (1 / x)) = L((x \ 1) \ 1,y,z). [para(114(a,1),4590(a,2,1))]. 4592 x \ L((x \ 1) \ 1,y,z) = L(x,y,z) * (1 / x). [hyper(77,a,4591,a)]. 4593 T(L(x,y,z) * (1 / x),x) = L(x,y,z) * (1 / x). [hyper(228,a,1899,a,b,4592,a(flip)),flip(a)]. 4594 (x \ L(x,y,z)) * x = L(x,y,z). [hyper(2174,a,4593,a)]. 4595 T(x,x \ L(x,y,z)) = x. [hyper(266,a,4594,a)]. 4596 L(x,y,z) / x = x \ L(x,y,z). [hyper(85,a,4594,a)]. 4597 (x \ (y \ z)) \ L(x \ (y \ z),x,y) = ((y * x) \ z) / (x \ (y \ z)). [hyper(72,a,222,a(flip),b,4594,a),flip(a)]. 4598 K(x \ L(x,y,z),x) = 1. [hyper(70,a,4594,a(flip),b,239,a),flip(a)]. 4600 K(x,x \ L(x,y,z)) = 1. [hyper(36,a,4595,a)]. 4601 T(x,y) * (x \ L(x,z,u)) = (x \ L(x,z,u)) * T(x,y). [para(4595(a,1),182(a,1,2,1)),flip(a)]. 4602 (1 / x) * L(x,y,z) = x \ L(x,y,z). [hyper(228,a,1013,a,b,4596,a(flip)),flip(a)]. 4603 L(x \ 1,y,z) * K(x,x \ 1) = L(1 / x,y,z). [para(1869(a,1),4577(a,1,1)),flip(a)]. 4604 L(x \ 1,y,z) \ K(x \ 1,x) = L(1 / x,y,z) \ 1. [para(4603(a,1),2367(a,1,1)),flip(a)]. 4605 x \ ((x \ L(x,y,z)) * T(x,u)) = T(x,u) * (x \ (x \ L(x,y,z))). [hyper(71,a,4601,a(flip),b,1053,a)]. 4607 (L(x \ 1,y,z) \ (x \ 1)) \ (L(1 / x,y,z) \ 1) = x. [hyper(71,a,4604,a(flip),b,4362,a(flip))]. 4608 (x * y) * ((z \ ((x * y) \ u)) * z) = x * (y * ((z \ (y \ (x \ u))) * z)). [para(222(a,1),4584(a,1,2,1,2))]. 4609 (x \ 1) * ((y \ ((x \ 1) \ z)) * y) = x \ ((y \ (x * z)) * y). [hyper(71,a,4585,a(flip),b,190,a),flip(a)]. 4611 ((x \ (y * z)) * x) / z = z \ ((x \ (z * y)) * x). [hyper(228,a,4548,a(flip),b,4609,a(flip)),flip(a)]. 4612 (x \ ((y \ (x * z)) * y)) * x = (y \ (z * x)) * y. [para(4611(a,1),16(a,1,1))]. 4613 (x \ ((y \ (x * z)) * y)) * x != u | (y \ (z * x)) * y = u. [para(4611(a,1),215(a,1,1)),flip(b)]. 4615 (x \ (1 \ (y * 1))) * x = y * (x \ (y / (y / x))). [hyper(228,a,4569,a(flip),b,4586,a(flip))]. 4616 x * (y \ (x / (x / y))) = (y \ x) * y. [para(122(a,1),4615(a,1,1,2)),flip(a)]. 4617 x \ (y / (y / x)) = K(x \ y,x). [hyper(17,a,239,a,b,4616,a)]. 4618 (1 / x) * ((y \ x) * y) = K(y \ x,y). [hyper(228,a,4568,a,b,4617,a(flip)),flip(a)]. 4619 ((x \ y) * x) / y = K(x \ y,x). [hyper(228,a,4567,a,b,4617,a(flip)),flip(a)]. 4620 x / (y * (x / y)) = K(y \ x,y). [hyper(228,a,3917,a,b,4617,a(flip)),flip(a)]. 4621 x / (x / y) = y * K(y \ x,y). [para(4617(a,1),14(a,1,2)),flip(a)]. 4622 x \ (y \ (1 / ((y \ 1) / x))) = K(x \ (y \ 1),x). [para(304(a,1),4617(a,1,2))]. 4623 K(x \ y,x) * y = (x \ y) * x. [para(4619(a,1),16(a,1,1))]. 4624 K(x \ y,x) * (x * (y / x)) = y. [para(4620(a,1),16(a,1,1))]. 4626 x \ K((x \ 1) \ y,x \ 1) = y / (y / (x \ 1)). [hyper(228,a,2527,a(flip),b,4621,a),flip(a)]. 4627 (x * y) / ((x * y) / x) = x * K(y,x). [para(13(a,1),4621(a,2,2,1))]. 4628 (x * K(x \ y,x)) * (y / x) = y. [para(4621(a,1),16(a,1,1))]. 4630 L(x,y \ 1,y) / (L(x,y \ 1,y) / y) = y * K((y \ 1) * x,y). [para(396(a,1),4621(a,2,2,1))]. 4631 (x / y) * (y * K(y \ x,y)) = (y \ x) * y. [para(4621(a,1),3822(a,1,2))]. 4632 T(x * K(x \ y,x),y) = L(x,x \ y,x). [para(4621(a,1),4009(a,1,1))]. 4633 T(x,y) / (T(x,y) / y) = y * K(y \ x,y). [para(4238(a,1),4621(a,2,2))]. 4634 T(x,K(y \ x,y)) = x. [hyper(426,a,4623,a)]. 4635 T((x \ 1) * ((y \ x) * y),x) = (x \ 1) * ((y \ x) * y). [para(4623(a,1),1738(a,2,2))]. 4636 K(x \ y,x) * ((y \ 1) \ 1) = K(y,y \ 1) * ((x \ y) * x). [para(4623(a,1),2897(a,1,2)),flip(a)]. 4637 T(x * y,K(y,x)) = x * y. [para(13(a,1),4634(a,1,2,1))]. 4638 T(x,K(y,x / y)) = x. [para(64(a,1),4634(a,1,2,1))]. 4639 (((x \ y) * x) \ y) \ y = (x \ y) * x. [hyper(651,a,4637,a)]. 4641 K(x,y) = T(y,x) \ y. [hyper(3632,a,4627,a),flip(a)]. 4642 K(x \ (x / y),x) = K(y \ 1,x). [hyper(228,a,3892,a,b,4641,a),flip(a)]. 4643 K(x,y) = (x * y) / (y * x). [hyper(228,a,3835,a,b,4641,a)]. 4644 K(x,y) = ((y * x) / y) \ x. [hyper(228,a,3576,a,b,4641,a)]. 4645 K(x,y) = y / T(y,x). [hyper(228,a,2484,a,b,4641,a)]. 4646 K(x,y) = (1 / T(y,x)) * y. [hyper(228,a,2481,a,b,4641,a)]. 4647 K(x,y) = y * (T(y,x) \ 1). [hyper(228,a,1059,a,b,4641,a)]. 4648 (x * T(x \ 1,y)) \ 1 = K(y,x \ 1). [hyper(228,a,118,a,b,4641,a),flip(a)]. 4649 K(x,y) = x \ T(x,y). [hyper(228,a,3900,a(flip),b,4641,a)]. 4650 x * T(x \ 1,y) = K(x \ 1,y). [hyper(228,a,3891,a(flip),b,4641,a),flip(a)]. 4652 K(x,y) / y = 1 / T(y,x). [hyper(72,a,4641,a,b,2481,a)]. 4653 T(x,y) \ 1 = x \ K(y,x). [hyper(71,a,4641,a,b,1059,a),flip(a)]. 4655 T(x,y) * K(y,x) = x. [para(4641(a,2),14(a,1,2))]. 4656 L(T(x,y),z,u) \ L(x,z,u) = K(y,L(x,z,u)). [para(40(a,2),4641(a,2,1)),flip(a)]. 4657 R(T(x,y),z,u) \ R(x,z,u) = K(y,R(x,z,u)). [para(42(a,2),4641(a,2,1)),flip(a)]. 4658 T(x,y) = x / K(y,x). [para(4641(a,2),61(a,1,2)),flip(a)]. 4661 x / K(y,x) != z | T(x,y) = z. [para(4641(a,2),293(a,1,2)),flip(b)]. 4662 ((x \ y) \ y) * K(x \ y,x) = x. [para(4641(a,2),312(a,1,2))]. 4663 K((1 / x) \ y,y) = T(y,y * x) \ y. [para(1714(a,1),4641(a,2,1))]. 4664 (x \ 1) * K(y,x) = T(x,y) \ 1. [para(4641(a,2),2394(a,1,2))]. 4665 K(x,y) * T(y,x) = y. [para(4641(a,2),2489(a,1,1))]. 4666 T(x,y) = K(y,x) \ x. [para(4641(a,2),2490(a,1,1)),flip(a)]. 4667 T(x,y) = (K(y,x) / x) \ 1. [para(4641(a,2),2496(a,1,1,1)),flip(a)]. 4668 K(x,y) * ((y * x) / y) = x. [para(4641(a,2),3577(a,1,1))]. 4669 K(x \ K(x,y),x) = K(x \ 1,x). [para(4641(a,2),3586(a,1,1,2))]. 4670 x * (((y * x) / y) \ z) = K(x,y) * z. [para(4641(a,2),3828(a,2,1))]. 4671 K(x,y) * (y * x) = x * y. [para(4641(a,2),3833(a,1,1))]. 4672 ((x * y) / x) \ x = y \ (x * K(y,x)). [para(4641(a,2),3829(a,1,2,2)),flip(a)]. 4673 (x * y) / x = y * K(x,y). [para(4641(a,2),3902(a,2,2))]. 4674 T(x * K(y,x),y) = x. [para(4641(a,2),3907(a,1,1,2))]. 4675 x * (K(x,y) * z) = T(x,y) * z. [para(4641(a,2),3903(a,1,2,1))]. 4676 T(x,y) * (x \ z) = K(x,y) * z. [para(4641(a,2),3904(a,2,1))]. 4677 K(x / y,z) * x = y * T(y \ x,z). [para(4641(a,2),3918(a,1,1))]. 4678 K(x \ 1,y) != z | x * T(x \ 1,y) = z. [para(4641(a,2),3898(a,1))]. 4679 x * ((y \ (x \ y)) * y) = y * K(x \ 1,y). [para(4641(a,2),3897(a,1,2)),flip(a)]. 4680 x * (T(x,y) \ z) = K(y,x) * z. [para(4641(a,2),4202(a,1,1)),flip(a)]. 4681 K(x,y) * (T(y,x) * z) = y * z. [para(4641(a,2),4203(a,1,1))]. 4682 x * T(x \ y,y) = y * K(y / x,y). [para(4641(a,2),4208(a,2,2))]. 4683 K(x,y) * z != u | y * (T(y,x) \ z) = u. [para(4641(a,2),4204(a,1,1))]. 4684 K(x,y) \ y != z | T(y,x) = z. [para(4645(a,2),283(a,1,1)),flip(b)]. 4686 K(x * K(y,y \ 1),z) = z / T(z,x). [para(4329(a,1),4645(a,2,2))]. 4687 x \ T(x,y) = T(K(x,y),x). [hyper(4003,a,4649,a),flip(a)]. 4688 L(x \ T(x,y \ 1),z,u) = K(x,L(y,z,u) \ 1). [hyper(228,a,3651,a,b,4649,a),flip(a)]. 4690 K(x,y) = ((x * y) / x) * (y \ 1). [hyper(228,a,3573,a,b,4649,a)]. 4691 K(x,y) = ((x * y) / x) / y. [hyper(228,a,3570,a,b,4649,a)]. 4692 x * ((y * (x \ 1)) / y) = K(y,x \ 1). [hyper(228,a,3569,a,b,4649,a),flip(a)]. 4693 K(x,y) = y \ ((x * y) / x). [hyper(228,a,3565,a,b,4649,a)]. 4694 K(x,y) = (1 / x) * T(x,y). [hyper(228,a,2559,a,b,4649,a)]. 4695 K(x,y) = (1 / x) * T((1 / x) \ 1,y). [hyper(228,a,2557,a,b,4649,a)]. 4696 K(x,y) = T(x,y) / x. [hyper(228,a,2551,a,b,4649,a)]. 4697 K(x,y) = T(x,y) * (x \ 1). [hyper(228,a,922,a,b,4649,a)]. 4698 T(x \ T(x,y \ 1),z) = K(x,T(y,z) \ 1). [hyper(228,a,3640,a(flip),b,4649,a),flip(a)]. 4699 x * T(x \ 1,y) = K(1 / x,y). [hyper(228,a,698,a(flip),b,4649,a),flip(a)]. 4701 ((x * y) / x) \ K(x,y) = y \ 1. [hyper(71,a,4649,a,b,3573,a)]. 4702 x \ K(y,x \ 1) = (y * (x \ 1)) / y. [hyper(71,a,4649,a,b,3569,a)]. 4703 T(x,y) \ K(x,y) = x \ 1. [hyper(71,a,4649,a,b,922,a)]. 4704 x \ T(x,y \ 1) = K(x,1 / y). [hyper(228,a,3240,a,b,4649,a(flip))]. 4705 T(x,y) = x * K(x,y). [para(4649(a,2),14(a,1,2)),flip(a)]. 4706 L(x,y,z) \ L(T(x,u),y,z) = K(L(x,y,z),u). [para(40(a,2),4649(a,2,2)),flip(a)]. 4708 x * K(x,y) != z | T(x,y) = z. [para(4649(a,2),213(a,1,2)),flip(b)]. 4711 K(x,x * (y \ 1)) = x \ T(x,y \ x). [para(1713(a,1),4649(a,2,2))]. 4712 T(x,y) = K(x,y) * x. [para(4649(a,2),2553(a,1,1)),flip(a)]. 4713 K(x,y) * x != z | T(x,y) = z. [para(4649(a,2),2560(a,1,1))]. 4714 (x \ (y * z)) \ (((x \ (y * z)) \ 1) \ 1) = K(x \ (y * z),z \ (y \ x)). [para(3234(a,1),4649(a,2,2)),flip(a)]. 4715 (x * K(y,x)) * y = y * x. [para(4649(a,2),3562(a,1,1,2))]. 4716 (x * y) / x = K(x,y) * y. [para(4649(a,2),3571(a,1,1)),flip(a)]. 4717 (x \ y) * K(x,x \ y) = y / x. [para(4649(a,2),3564(a,1,2))]. 4718 K(x,y) \ (x \ z) = T(x,y) \ z. [para(4649(a,2),3741(a,1,1))]. 4720 K(x,y) * (x * z) = T(x,y) * z. [para(4649(a,2),3745(a,1,1))]. 4721 x * (T(x,y) \ z) = K(x,y) \ z. [para(4649(a,2),3751(a,1,1)),flip(a)]. 4722 K(x,y) \ (T(x,y) * z) = x * z. [para(4649(a,2),3800(a,1,1))]. 4723 K(x,x \ y) * y = x * (y / x). [para(4649(a,2),3808(a,1,1))]. 4724 K(x,y) \ (x \ z) != u | T(x,y) \ z = u. [para(4649(a,2),3803(a,1,1))]. 4725 K(x,y) \ z != u | x * (T(x,y) \ z) = u. [para(4649(a,2),3845(a,1,1))]. 4726 K(x,x \ y) \ y = (x \ y) * x. [para(4649(a,2),4175(a,1,1))]. 4727 K(x,y * K(z,z \ 1)) = x \ T(x,y). [para(4329(a,1),4649(a,2,2))]. 4728 (x \ (T(x,y) / z)) \ K(x,y) = R(z,T(x,y) \ 1,x). [para(4649(a,2),4356(a,1,2))]. 4731 T(x,y) \ x != z | K(y,x) = z. [para(4655(a,1),284(a,1,2)),flip(b)]. 4734 ((x \ y) \ y) * K(y / x,x) = x. [para(3968(a,1),4655(a,1,1))]. 4735 x * (y * K(x,y)) = T(x,y) * y. [para(4655(a,1),4215(a,1,2)),flip(a)]. 4737 (1 / (1 / x)) / K(y,x) = T(1 / (1 / x),y). [para(3242(a,1),4658(a,2,2)),flip(a)]. 4738 K(x,y / x) * (x \ y) = y / x. [para(115(a,1),4665(a,1,2))]. 4740 T(x,x \ (x / y)) = T(x,y \ 1). [hyper(228,a,3899,a(flip),b,4666,a)]. 4741 K(x \ y,x) * R(T(x,x \ y),z,u) = y \ ((R(x,z,u) * (x \ y)) * x). [para(4666(a,2),2278(a,1,2,1))]. 4742 T(T(x * K(y,x),z),y) = T(x,z). [para(4674(a,1),38(a,1,1)),flip(a)]. 4743 (x * K(y,x)) \ (y * x) = y. [para(4674(a,1),167(a,1,2,2))]. 4745 (x * y) / x != z | y * K(x,y) = z. [para(4674(a,1),298(a,1,1,2)),flip(b)]. 4746 T(x * K(y,x),z) * y = y * T(x,z). [para(4674(a,1),182(a,1,2,1)),flip(a)]. 4747 T(x * K(y,x),z) = (y * T(x,z)) / y. [para(4674(a,1),203(a,1,1,2,1)),flip(a)]. 4748 L(x * K(y,x),z,u) * y = y * L(x,z,u). [para(4674(a,1),183(a,1,2,1)),flip(a)]. 4749 R(x * K(y,x),z,u) * y = y * R(x,z,u). [para(4674(a,1),184(a,1,2,1)),flip(a)]. 4750 L(T(x * K(y,x),y),z,u) / (x * K(y,x)) = (1 / (x * K(y,x))) * L(x,z,u). [para(4674(a,1),2017(a,1,2,1)),flip(a)]. 4751 T(1 / (1 / (x * K(y,x))),y) = 1 / (1 / x). [para(4674(a,1),2324(a,1,2,2)),flip(a)]. 4752 T(K(x,y) * y,x) = y. [para(2501(a,2),4674(a,1,1))]. 4753 (x * K(y,x)) * ((y \ 1) \ 1) = ((y \ 1) \ 1) * x. [para(4674(a,1),3107(a,1,2)),flip(a)]. 4754 T(K(x,y \ 1) / y,x) = 1 / y. [para(3250(a,1),4674(a,1,1))]. 4755 T(x,y * K(x,y)) = T(x,y). [para(4674(a,1),3921(a,1,2)),flip(a)]. 4756 T(x,L(y * K(x,y),z,u)) = T(x,L(y,z,u)). [para(4674(a,1),3943(a,1,2,1)),flip(a)]. 4757 L(x * K(y,x),y,x * K(y,x)) = L(x * K(y,x),y,x). [para(4674(a,1),4198(a,1,3)),flip(a)]. 4763 T(x * y,z) / a(x,y,K(x * y,z)) = x * (y * K(x * y,z)). [hyper(72,a,4705,a,b,89,a)]. 4764 x * K(x,y * (z \ 1)) = T(x,y * (1 / z)). [hyper(228,a,4340,a,b,4705,a(flip))]. 4765 T(x,T(y,T(x,z))) = x * K(x,y). [hyper(228,a,4246,a,b,4705,a(flip)),flip(a)]. 4766 T(x,((y \ z) / z) \ 1) = x * K(x,y). [hyper(228,a,4110,a,b,4705,a(flip)),flip(a)]. 4767 T(x,T(y,x / y)) = x * K(x,y). [hyper(228,a,3975,a,b,4705,a(flip)),flip(a)]. 4770 T(x,y) * K(T(x,y),z) = T(T(x,z),y). [hyper(228,a,38,a,b,4705,a(flip))]. 4771 T(x,y) != x * z | K(x,y) = z. [para(4705(a,2),19(a,1))]. 4772 ((x * y) * K(y,z)) / T(y,z) = R(x,y,K(y,z)). [para(4705(a,2),30(a,2,2)),flip(a)]. 4773 x \ T(x,y) != z | K(x,y) = z. [para(4705(a,2),284(a,1,2)),flip(b)]. 4777 (1 / x) * K(x \ 1,y) = T(1 / x,y). [para(2853(a,1),4705(a,2,2)),flip(a)]. 4778 (x * K(y,z)) \ (x * T(y,z)) = L(y,K(y,z),x). [para(4705(a,2),3162(a,1,2,2))]. 4780 (K(x,y) / R(x,z,u)) * x = T(x,y) / R(x,z,u). [hyper(72,a,4712,a,b,1664,a),flip(a)]. 4781 K(L(x,y,z),u) * L(x,y,z) = L(T(x,u),y,z). [hyper(228,a,40,a,b,4712,a(flip))]. 4782 K(T(x,y),z) * T(x,y) = T(T(x,z),y). [hyper(228,a,38,a,b,4712,a(flip))]. 4783 x * (K(y,x) * y) = y * x. [para(4712(a,1),113(a,1,2))]. 4791 (K(x,y) * z) \ T(x,y) != u | L(z \ x,z,K(x,y)) = u. [para(4712(a,2),568(a,1,2))]. 4792 T(x * y,z) * a(K(x * y,z),y,T(x,y)) = (K(x * y,z) * y) * T(x,y). [para(4712(a,2),662(a,1,1))]. 4793 ((K(x,y) * z) * (z \ x)) / T(T(x,y),a(K(x,y),z,z \ x)) = a(K(x,y),z,z \ x). [para(4712(a,2),885(a,1,2,1))]. 4795 x / ((y \ x) * y) = K(y,y \ x). [para(14(a,1),4643(a,2,1)),flip(a)]. 4796 (x * (1 / (y * x))) / (1 / T(y,x)) = K(x,1 / (y * x)). [para(328(a,1),4643(a,2,2)),flip(a)]. 4797 K(x,y) = x * (((y * x) / y) \ 1). [hyper(228,a,1405,a,b,4644,a)]. 4798 ((x * y) / x) \ 1 = y \ K(y,x). [hyper(71,a,4644,a,b,1405,a),flip(a)]. 4800 K(x,y) \ x = (y * x) / y. [para(4644(a,2),2580(a,1,1))]. 4801 (x * y) \ (x * K(z,y)) = L(T(y,z) \ 1,y,x). [para(4647(a,2),28(a,2,2,2)),flip(a)]. 4803 L(T(x \ y,z) \ 1,x \ y,x) = y \ (x * K(z,x \ y)). [para(4647(a,2),101(a,1,2,2)),flip(a)]. 4804 x * (K(y,z) / z) = x * (1 / T(z,y)). [hyper(21,a,4652,a)]. 4806 T(x,y) = 1 / (x \ K(y,x)). [para(4653(a,1),61(a,1,2)),flip(a)]. 4807 1 / (x \ K(y,x)) != z | T(x,y) = z. [para(4653(a,1),293(a,1,2)),flip(b)]. 4808 (x \ K(y,x)) \ 1 = T(T(x,x \ 1),y). [para(4653(a,1),2318(a,2,1)),flip(a)]. 4809 K(x \ 1,x) * K(y,x) = (T(x,y) \ 1) * x. [para(4653(a,2),2889(a,2,1))]. 4810 K(x,y) = x / ((y * x) / y). [hyper(85,a,4668,a),flip(a)]. 4811 K(x \ y,x) * (y / x) = x \ y. [para(14(a,1),4668(a,1,2,1))]. 4813 K(a(x,y,z),x * (y * z)) * (((x * y) * z) / (x * (y * z))) = a(x,y,z). [para(89(a,1),4668(a,1,2,1))]. 4815 K(x,y / x) * y = x * (y / x). [para(16(a,1),4671(a,1,2))]. 4816 x * (y * z) != z * y | K(z,y) = x. [para(4671(a,1),20(a,1)),flip(a)]. 4817 (x * y) * L(z,y * x,K(x,y)) = K(x,y) * ((y * x) * z). [para(4671(a,1),100(a,1,1))]. 4818 K(L(x,y,z),z * y) * (z * (y * x)) = L(x,y,z) * (z * y). [para(100(a,1),4671(a,1,2))]. 4819 K(x,y) * ((y * x) * z) != (x * y) * u | L(z,y * x,K(x,y)) = u. [para(4671(a,1),445(a,1,1)),flip(a)]. 4820 (x * y) \ (K(x,y) * (y * (x * z))) = L(L(z,x,y),y * x,K(x,y)). [para(4671(a,1),447(a,1,1))]. 4821 T(x * y,z) / (y * x) = (y * x) \ T(x * y,z). [para(4671(a,1),4474(a,1,1,1))]. 4822 (x * y) * K(T(y,x),x * y) = T(y,x * y) * T(x,y). [hyper(4187,a,4673,a),flip(a)]. 4823 ((x \ (1 / y)) * x) * y = K((x * y) \ 1,x). [hyper(3659,a,4673,a)]. 4824 T(x,y) * K(y,T(x,y)) = x. [hyper(298,a,4673,a)]. 4825 x \ K(y,1 / x) = (y * (x \ 1)) / y. [hyper(228,a,3251,a(flip),b,4673,a),flip(a)]. 4826 (x * y) \ ((x * y) / x) = L(x \ 1,x,y). [hyper(71,a,4673,a,b,1400,a)]. 4827 T(x,y) \ ((z * x) / z) = x * (T(x,y) \ K(z,x)). [hyper(71,a,4673,a,b,1054,a)]. 4828 x * ((y * z) / y) = x * (z * K(y,z)). [hyper(21,a,4673,a)]. 4829 x / (x / y) = y * K(x / y,y). [hyper(228,a,225,a(flip),b,4673,a(flip)),flip(a)]. 4830 (x * K(y / x,x)) \ y = y / x. [para(4673(a,1),277(a,1,1))]. 4831 T(x,y) * K(y,T(x,y)) != z | z = x. [para(4673(a,1),298(a,1))]. 4832 ((x * y) * z) / R(x,y,z) = (y * z) * K(R(x,y,z),y * z). [para(109(a,1),4673(a,1,1))]. 4833 R(x * K(y,x),y,z) = ((y * x) * z) / (y * z). [para(4673(a,1),110(a,1,1))]. 4834 R(x / y,y,K(z,x)) \ ((z * x) / z) = y * K(z,x). [para(4673(a,2),473(a,1,2))]. 4835 R(x * K(y,x),y,y \ 1) = (y * x) * (y \ 1). [para(4673(a,1),495(a,1,1))]. 4836 T(x * K(y * x,x),y) = R(x,y,x). [para(4673(a,1),729(a,2,1)),flip(a)]. 4837 L(x * K(y,x),z,u) = (y * L(x,z,u)) / y. [para(4673(a,1),786(a,1,1))]. 4838 R(x * K(y,x),z,u) = (y * R(x,z,u)) / y. [para(4673(a,1),792(a,1,1))]. 4839 ((x / y) * (y * K(z,x))) \ ((z * x) / z) = a(x / y,y,K(z,x)). [para(4673(a,2),92(a,1,2))]. 4840 T(T(x * K(y,x),z),x * y) = L(T(x,z),y,x). [para(4673(a,1),891(a,1,1,1))]. 4841 T(x * K(y,x),x \ y) = (x \ y) \ T(y,x). [para(4673(a,1),1086(a,1,1))]. 4842 L(x * K(y * z,x),z,y) = (y * (z * x)) / (y * z). [para(4673(a,1),788(a,1,1))]. 4843 (x * y) / ((z * y) / z) = (x / (y * K(z,y))) * y. [para(4673(a,1),1422(a,2,1,2))]. 4844 ((x * y) * L(y,z,u)) / (x * L(y,z,u)) = y * K(x * L(y,z,u),y). [para(1537(a,1),4673(a,1,1))]. 4845 (x * K(y,x)) \ ((y * (x * y)) / y) = L(y,x,y). [para(4673(a,1),1547(a,2,1)),flip(a)]. 4846 ((x * y) * R(y,z,u)) / (x * R(y,z,u)) = y * K(x * R(y,z,u),y). [para(1663(a,1),4673(a,1,1))]. 4847 K(x,y) = (1 / y) * ((x * y) / x). [para(4673(a,2),2524(a,1,2)),flip(a)]. 4848 T(x * K(y,x),y * x) = L(x,y,x). [para(4673(a,1),4065(a,1,1))]. 4850 (x \ (y * K(x,y))) * x = (x \ y) * T(x,y). [para(4673(a,1),4525(a,1,1,2))]. 4851 ((x * ((y * z) / y)) / x) / ((x * z) / x) = K(y,(x * z) / x). [para(911(a,1),4691(a,2,1)),flip(a)]. 4853 (x \ y) \ (y / x) = K(x,x \ y). [para(14(a,1),4693(a,2,2,1)),flip(a)]. 4856 (1 / x) \ K(x,y) != z | T(x,y) = z. [para(4694(a,2),284(a,1,2)),flip(b)]. 4857 K(x,y) != z | x \ T(x,y) = z. [para(4694(a,2),3821(a,1))]. 4858 K(1 / x,y) / x = T(1 / x,y). [hyper(313,a,4697,a(flip))]. 4859 (x * T(y,z)) \ (x * K(y,z)) != u | L(y \ 1,T(y,z),x) = u. [para(4697(a,2),456(a,1,2,2))]. 4860 T(x,y * x) * (x \ 1) = K(x,x * y). [para(4066(a,2),4697(a,2,1)),flip(a)]. 4861 T(x,y) * (x \ 1) != z | K(x,y) = z. [para(4703(a,1),213(a,1,2)),flip(b)]. 4862 T(x \ (x / y),z) \ K(x \ (x / y),z) != u | R(y,x \ 1,x) = u. [para(4703(a,2),4538(a,1))]. 4863 T(x,y) * K(y * R(x,z,u),T(x,y)) = R(x,y,R(x,z,u)). [hyper(18,a,1673,a,b,4715,a)]. 4864 x / ((y * K(x,y)) * ((x \ 1) \ 1)) = (1 / (1 / x)) / (x * y). [para(4715(a,1),4526(a,1,2)),flip(a)]. 4866 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(4755(a,1),4145(a,2,2))]. 4867 K(x,y) \ x = x * K(y,x). [hyper(228,a,4673,a(flip),b,4800,a)]. 4870 x / (y / (y / x)) = K(x,x \ y). [para(3906(a,1),4810(a,2,2)),flip(a)]. 4871 K(x,T(y,x)) = K(x,y). [hyper(17,a,4655,a,b,4824,a)]. 4873 K(x,L(T(y,x),z,u)) = K(x,L(y,z,u)). [para(40(a,2),4871(a,1,2))]. 4874 K(x,y / x) = K(x,x \ y). [para(115(a,1),4871(a,1,2)),flip(a)]. 4876 K(x,R(y / x,z,u)) = K(x,R(x \ y,z,u)). [para(187(a,1),4871(a,1,2)),flip(a)]. 4877 K(x,(x * y) * (x \ 1)) = K(x,R(y,x,x \ 1)). [para(731(a,1),4871(a,1,2)),flip(a)]. 4878 K(T(x,y),y) = K(x,y). [hyper(4034,a,4867,a)]. 4879 K(x,y) \ 1 = K(y,x). [hyper(2677,a,4867,a)]. 4881 K(x \ (y * x),x) = K(y,x). [para(32(a,1),4878(a,1,1))]. 4882 K(x / y,y) = K(y \ x,y). [para(115(a,1),4878(a,1,1)),flip(a)]. 4883 K((x \ y) \ y,x \ y) = K(x,x \ y). [para(114(a,1),4878(a,1,1))]. 4884 K(R(x,y,x),y * x) = K(T(x,y),y * x). [para(736(a,1),4878(a,1,1)),flip(a)]. 4885 K(x / (x / y),y \ x) = K(y,y \ x). [para(3909(a,1),4878(a,1,1)),flip(a)]. 4886 K(x,y) * K(y,x) = 1. [para(4878(a,1),4027(a,1,1))]. 4887 K(x,y) \ 1 != z | K(y,x) = z. [para(4878(a,1),4032(a,1,1))]. 4888 K(x,T(y,x)) != z | K(x,y) = z. [para(4878(a,1),4035(a,1))]. 4889 K(x * K(y,x),y) = K(x,y). [para(4674(a,1),4878(a,1,1)),flip(a)]. 4890 (T(x,y) * y) / T(x,y) = y * K(x,y). [para(4878(a,1),4673(a,2,2))]. 4892 (x \ K(y,z)) \ (x \ 1) = K(z,y). [hyper(228,a,249,a,b,4879,a(flip)),flip(a)]. 4893 (K(x,y) * z) \ 1 = z \ K(y,x). [hyper(71,a,4879,a(flip),b,47,a),flip(a)]. 4894 1 / K(x,y) = K(y,x). [para(4879(a,1),61(a,1,2))]. 4895 (x \ K(y,z)) * K(z,y) = x \ 1. [para(4879(a,1),119(a,1,2))]. 4896 (K(x,y) / z) \ 1 = z * K(y,x). [para(4879(a,1),120(a,2,2))]. 4897 1 / K(x,y) != z | K(y,x) = z. [para(4879(a,1),293(a,1,2)),flip(b)]. 4898 1 / (x * K(y,z)) = K(z,y) / x. [para(4879(a,1),259(a,1,2,2))]. 4900 x \ K(y,z) != u | (K(z,y) * x) \ 1 = u. [para(4879(a,1),288(a,1,2))]. 4901 (1 / x) \ (K(y,z) * u) = x / (u \ K(z,y)). [para(4879(a,1),324(a,1,2,2)),flip(a)]. 4902 K(x,y) * T(z,z \ 1) = (z \ K(y,x)) \ 1. [para(4879(a,1),626(a,1,1))]. 4903 L(L(K(x,y),z,u),K(y,x),w) = L((w * K(y,x)) \ w,z,u). [para(4879(a,1),358(a,1,1,1))]. 4904 R(x / (y \ K(z,u)),y \ K(z,u),K(u,z)) = (K(z,u) / x) \ y. [para(4879(a,1),1027(a,1,3))]. 4905 (x * K(y,x)) \ 1 = x \ K(x,y). [para(4879(a,1),2505(a,2,2))]. 4907 T(K(x,y),z) * K(y,x) = K(K(x,y),z). [para(4879(a,1),4697(a,2,2)),flip(a)]. 4908 K(x,y) * z != 1 | K(y,x) = z. [para(4886(a,1),19(a,1)),flip(a)]. 4910 (x \ 1) / K(y,z) = x \ K(z,y). [para(4894(a,1),304(a,2,2))]. 4911 T(x * K(y,z),x \ K(z,y)) = ((x * K(y,z)) \ 1) \ 1. [para(4894(a,1),3377(a,1,2,2))]. 4914 x \ (y * (x / y)) = K(y,y \ x). [hyper(228,a,96,a,b,4874,a(flip)),flip(a)]. 4915 x * K(y,y \ x) = y * (x / y). [para(4874(a,1),240(a,1,2))]. 4916 T(x,K(y,y \ x)) = x. [para(4874(a,1),4638(a,1,2))]. 4920 x * K(x / y,y) = (y \ x) * y. [para(4882(a,2),239(a,1,2))]. 4925 L(T(x,y),z,u) \ L(x,z,u) != w | K(y,L(x,z,u)) = w. [para(40(a,2),4731(a,1,1))]. 4926 R(T(x,y),z,u) \ R(x,z,u) != w | K(y,R(x,z,u)) = w. [para(42(a,2),4731(a,1,1))]. 4929 K(x \ (x / y),x) != z | K(y \ 1,x) = z. [para(3892(a,2),4731(a,1))]. 4930 L(x,y,z) \ L(T(x,u),y,z) != w | K(L(x,y,z),u) = w. [para(40(a,2),4773(a,1,2))]. 4931 x \ ((x \ y) \ y) != z | K(x,x \ y) = z. [para(114(a,1),4773(a,1,2))]. 4932 x \ L(T(x,y),y,x) != z | K(x,x * y) = z. [para(673(a,2),4773(a,1,2))]. 4933 x \ T(x,y \ 1) != z | K(x,1 / y) = z. [para(3102(a,1),4773(a,1,2))]. 4934 (x * T(x \ y,z)) / y != u | K(y / x,z) = u. [para(3813(a,2),4773(a,1))]. 4935 T(K(x,y),x) != z | K(x,y) = z. [para(4687(a,1),4773(a,1))]. 4939 (x \ K(y,z)) \ (x \ 1) != u | K(z,y) = u. [para(249(a,2),4887(a,1))]. 4941 K(x,y / x) != z | K(x,x \ y) = z. [para(4022(a,1),4887(a,1))]. 4942 K(x,x \ (y * x)) != z | K(x,y) = z. [para(32(a,1),4888(a,1,2))]. 4944 K(x,R(T(y,x),z,u)) != w | K(x,R(y,z,u)) = w. [para(42(a,2),4888(a,1,2))]. 4945 K(x,R(T(y,x * z),x,z)) != u | K(x,(x * z) \ ((x * y) * z)) = u. [para(1038(a,1),4888(a,1,2))]. 4947 K(T(x,x \ 1),y) != z | K(x,y) = z. [para(3152(a,2),4935(a,1))]. 4948 K((x \ 1) \ 1,y) != z | K(x,y) = z. [para(3153(a,1),4935(a,1))]. 4949 R(x * T(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). [hyper(2258,a,4642,a)]. 4950 L(x * T(x \ 1,y),z,u) = K(L(x,z,u) \ 1,y). [hyper(228,a,2250,a,b,4642,a(flip)),flip(a)]. 4951 (x * T(x \ y,z)) / y = K((x / y) \ 1,z). [hyper(228,a,1473,a(flip),b,4642,a(flip)),flip(a)]. 4952 x \ (y * T(y \ x,z)) = K((x \ y) \ 1,z). [hyper(228,a,1383,a(flip),b,4642,a(flip)),flip(a)]. 4953 K(x \ 1,y) / x = T(1 / x,y). [para(4642(a,1),940(a,1,1))]. 4954 x * T(x \ y,z) = y * K((y \ x) \ 1,z). [para(4642(a,1),1381(a,2,2))]. 4956 K((x / y) \ 1,z) * y = x * T(x \ y,z). [para(4642(a,1),1472(a,1,1))]. 4958 x * (y * T(y \ (x \ 1),z)) = K((x * y) \ 1,z). [hyper(872,a,4650,a)]. 4959 T(1 / x,y) * x = K(x \ 1,y). [hyper(413,a,4650,a)]. 4961 (x * y) * T((x * y) \ x,z) = x * K(y \ 1,z). [para(4650(a,1),692(a,2,2))]. 4963 ((x * y) \ x) * (x * y) = x * K(y \ 1,x * y). [para(4650(a,1),880(a,2,2))]. 4964 K(x \ 1,y) * (x \ z) = z * T(z \ (x \ z),y). [para(4650(a,1),1167(a,1,1))]. 4965 x * (y * T(y \ (x \ y),z)) = K(x \ 1,z) * y. [para(4650(a,1),1311(a,2,1))]. 4967 (x * (y * T(y \ 1,z))) * y = (x * y) * K(y \ 1,z). [para(4650(a,1),1589(a,2,2))]. 4968 K(x \ (x / T(y,z)),x) = T(K(y \ 1,x),z). [para(4650(a,1),2030(a,1,1)),flip(a)]. 4969 (x * y) * (z * T(z \ L(y \ z,y,x),u)) = (x * K(y \ 1,u)) * z. [para(4650(a,1),2130(a,2,1,2))]. 4970 (x * y) * ((z \ L(y \ z,y,x)) * z) = (x * K(y \ 1,z)) * z. [para(4650(a,1),2131(a,2,1,2))]. 4971 K(x \ (x / L(y,z,u)),x) = L(K(y \ 1,x),z,u). [para(4650(a,1),2250(a,1,1)),flip(a)]. 4973 (x * (y \ 1)) \ (x * (T(y,z) \ 1)) != u | L(K(z,y),y \ 1,x) = u. [para(4664(a,1),456(a,1,2,2))]. 4974 K(x,y) * K(x \ 1,x) = (x \ K(x,y)) * x. [para(4669(a,1),239(a,1,2))]. 4975 (K(x,y) * z) \ (T(x,y) * z) = T(x,K(x,y) * z). [hyper(171,a,4675,a,b,14,a),flip(a)]. 4976 x \ (T(x,y) * z) = K(x,y) * z. [hyper(77,a,4675,a)]. 4977 K(x,y) * (T(x,y) \ z) = x \ z. [hyper(71,a,14,a(flip),b,4675,a),flip(a)]. 4978 ((x * y) / x) \ z = K(y,x) * (y \ z). [hyper(17,a,4008,a,b,4675,a),flip(a)]. 4979 K(x,y) * (z * x) = T(x,y) * T(z,x). [hyper(17,a,1062,a,b,4675,a)]. 4980 K(x,y) * T(y,y * x) = L(y,x,y). [hyper(17,a,4129,a(flip),b,4675,a)]. 4981 K(x,y) * T(y,x * y) = L(y,x,y). [hyper(17,a,4127,a(flip),b,4675,a)]. 4982 K(x * y,x) * T(x,y) = R(x,y,x). [hyper(17,a,4041,a(flip),b,4675,a)]. 4983 (x * ((K(x,y) * z) * u)) \ ((T(x,y) * z) * u) = a(x,K(x,y) * z,u). [para(4675(a,1),24(a,2,2,1)),flip(a)]. 4984 T(x,y) * T(z,K(x,y)) = x * (z * K(x,y)). [para(113(a,1),4675(a,1,2)),flip(a)]. 4985 x \ (T(x,y) * z) != u | K(x,y) * z = u. [para(4675(a,1),284(a,1,2)),flip(b)]. 4987 K(x,y) \ (y * z) = T(y,x) * z. [hyper(4216,a,4676,a)]. 4988 (x \ y) * T((x \ y) \ y,z) = K(x,z) * y. [hyper(882,a,4676,a)]. 4989 T(x,y) * (x \ R(x,z,u)) = R(x,z,u) * K(x,y). [hyper(228,a,3160,a,b,4676,a)]. 4991 x * (K(x,y) * (x \ z)) = K(x,y) * z. [hyper(228,a,4675,a,b,4676,a(flip)),flip(a)]. 4992 ((x * y) / x) \ (y * z) = K(y,x) * z. [hyper(228,a,4090,a,b,4676,a(flip)),flip(a)]. 4993 (x \ L(x,y,z)) * T(x,u) = K(x,u) * L(x,y,z). [hyper(228,a,4601,a(flip),b,4676,a(flip)),flip(a)]. 4995 (x * y) / (T(x,z) * y) = K(z,x). [hyper(72,a,4212,a(flip),b,4676,a(flip))]. 4996 x \ (K(x,y) * z) = K(x,y) * (x \ z). [hyper(71,a,4676,a(flip),b,4675,a)]. 4997 x \ (K(y,x) * z) = T(x,y) \ z. [hyper(71,a,4676,a(flip),b,4206,a(flip))]. 4999 K(x * y,z) * (x * (y * u)) = T(x * y,z) * L(u,y,x). [para(28(a,2),4676(a,1,2)),flip(a)]. 5000 (K(x,y) * z) / (x \ z) != u | T(x,y) = u. [para(4676(a,1),295(a,1,1)),flip(b)]. 5002 K(x,y) * T(x,z) = T(x,y) * K(x,z). [para(4649(a,2),4676(a,1,2)),flip(a)]. 5003 T(x,y) \ (x * z) = K(y,x) * z. [hyper(1113,a,4680,a)]. 5004 K(x,y) * (y \ z) = T(y,x) \ z. [hyper(1076,a,4680,a),flip(a)]. 5005 T(x,x \ 1) \ (y \ 1) = T(y \ (x \ 1),x). [hyper(171,a,3215,a(flip),b,4680,a),flip(a)]. 5006 K((x / y) / (y \ 1),z) = (T(x,z) / y) / (x / y). [hyper(72,a,4358,a(flip),b,4680,a(flip)),flip(a)]. 5007 T(x,y) * (K(y,x) * z) = x * z. [para(4680(a,1),1054(a,1,2))]. 5008 K(x,y) * (y \ z) != u | T(y,x) \ z = u. [para(4680(a,1),1076(a,1))]. 5009 K(x,y) * T(T(y,x),z) = y * K(T(y,x),z). [para(4649(a,2),4680(a,1,2)),flip(a)]. 5010 K(x,y / x) * ((x \ y) * z) = (y / x) * z. [para(115(a,1),4681(a,1,2,1))]. 5012 K(x,y) \ (y * z) != u | T(y,x) * z = u. [para(4681(a,1),284(a,1,2)),flip(b)]. 5014 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(4681(a,1),447(a,1,1)),flip(a)]. 5015 (x * T(x \ y,y)) * (y \ 1) = K(x \ y,y). [para(1336(a,1),4690(a,2,1)),flip(a)]. 5018 (x * T(x \ y,z)) / y = K(1 / (x / y),z). [hyper(228,a,1470,a(flip),b,4699,a(flip)),flip(a)]. 5020 K(x,(x / y) / x) = K(x,1 / y). [hyper(3605,a,4704,a)]. 5021 x \ (y * ((z * (y \ x)) / z)) = K(z,1 / (x \ y)). [hyper(228,a,3604,a,b,4704,a(flip)),flip(a)]. 5022 K(x,1 / y) != z | K(x,y \ 1) = z. [para(4704(a,1),4773(a,1))]. 5023 (x \ y) * K((x \ 1) \ 1,x \ y) = y / x. [para(2857(a,2),4717(a,1,2))]. 5024 T(x \ y,R(y / x,z,u)) = x \ y. [para(4717(a,1),4284(a,1,2,1))]. 5025 (x \ y) / (T(x,z) \ y) = K(x,z). [para(4718(a,1),61(a,1,2))]. 5028 K(x,y) \ (z * T(x,y)) = x * T(z,T(x,y)). [hyper(71,a,113,a(flip),b,4720,a)]. 5029 (x * K(y,x)) * K(x,z) = T(x,z) * K(y,x). [hyper(228,a,3657,a(flip),b,4720,a(flip)),flip(a)]. 5030 K(R(x,y,z),u) * (R(x,y,z) * w) = R(T(x,u),y,z) * w. [para(42(a,2),4720(a,2,1))]. 5031 T(x,y) * (x \ z) != u | K(x,y) * z = u. [para(4720(a,1),302(a,1))]. 5032 K(x,y) * (L(z,u,w) * x) = T(x,y) * L(T(z,x),u,w). [para(183(a,1),4720(a,1,2))]. 5033 K(x,y) * (R(z,u,w) * x) = T(x,y) * R(T(z,x),u,w). [para(184(a,1),4720(a,1,2))]. 5035 K(x,y) \ z = K(y,x) * z. [hyper(228,a,4680,a(flip),b,4721,a(flip))]. 5036 (K(x,y) \ z) / z = K(y,x). [hyper(72,a,4721,a(flip),b,4680,a(flip))]. 5037 (x * K(y,z)) \ x = K(z,y). [hyper(4561,a,5035,a)]. 5038 (x \ 1) / (x \ K(x,y)) = K(y,x). [hyper(2699,a,5035,a)]. 5039 K(x,y) * (y \ K(y,x)) = y \ 1. [hyper(2698,a,5035,a),flip(a)]. 5040 x / (K(y,z) * x) = K(z,y). [hyper(438,a,5035,a)]. 5041 K(x,y) * (z * K(y,x)) = T(z,K(y,x)). [hyper(366,a,5035,a),flip(a)]. 5042 K(x,y) * (K(y,x) * z) = z. [hyper(284,a,5035,a)]. 5043 K(x,y) \ T(T(x,z),u) = T(T(x,z),u) * K(y,x). [hyper(228,a,2509,a,b,5035,a)]. 5044 x \ (K(y,z) \ x) = T(K(z,y),x). [hyper(71,a,5035,a,b,113,a)]. 5045 x * (K(y,z) * u) != u | K(z,y) = x. [para(5035(a,1),84(a,1,2)),flip(b)]. 5046 K(x,y) * (K(y,x) * z) != u | u = z. [para(5035(a,1),213(a,1,2))]. 5047 x / (K(y,z) * x) != u | K(z,y) = u. [para(5035(a,1),293(a,1,2)),flip(b)]. 5048 1 / (K(x,y) * z) = (1 / z) * K(y,x). [para(5035(a,1),326(a,1,2))]. 5049 (K(x,y) \ z) * L(u,z,K(y,x)) = K(y,x) * (z * u). [para(5035(a,2),100(a,1,1))]. 5050 L(x \ (K(y,z) * u),x,K(z,y)) = (K(z,y) * x) \ u. [para(5035(a,1),222(a,1,1,2))]. 5051 L(K(x,y) * (z \ u),K(y,x),z) = (z * K(y,x)) \ u. [para(5035(a,1),222(a,1,1))]. 5053 T((x \ K(y,z)) \ 1,K(z,y) * x) = (x \ K(y,z)) \ 1. [para(5035(a,1),550(a,1,2))]. 5054 R(x,K(y,z),K(z,y) * u) * u = (x * K(y,z)) * (K(y,z) \ u). [para(5035(a,1),303(a,1,1,3))]. 5055 R(K(x,y) * R(K(y,x),z,u),K(y,x),z * u) = ((K(y,x) * z) * u) / (K(y,x) * (z * u)). [para(5035(a,1),3520(a,1,1))]. 5057 K(x,y) != z | K(y,x) \ 1 = z. [para(5036(a,1),148(a,1)),flip(b)]. 5058 K(x,y) * z != u | K(y,x) \ z = u. [para(5036(a,1),215(a,1,1)),flip(b)]. 5061 (((x \ y) \ y) * K(z,u)) \ T(x,x \ y) = K(u,z). [hyper(624,a,5037,a)]. 5062 (x * K(y,z)) * K(z,y) = x. [para(5037(a,1),14(a,1,2))]. 5063 x / K(y,z) = x * K(z,y). [para(5037(a,1),61(a,1,2))]. 5064 x * K(y,z) != u | u * K(z,y) = x. [para(5037(a,1),84(a,1,2)),flip(b)]. 5065 (x * K(y,z)) * K(z,y) != u | u = x. [para(5037(a,1),213(a,1,2))]. 5066 (x / y) * y = (x * K(z,u)) * K(u,z). [para(5037(a,1),216(a,2,2))]. 5067 x / K(y,z) != u | x * K(z,y) = u. [para(5037(a,1),293(a,1,2)),flip(b)]. 5068 L(K(x,y),z * K(y,x),u) = (u * (z * K(y,x))) \ (u * z). [para(5037(a,1),102(a,1,1))]. 5070 ((x * K(y,z)) \ x) \ u = K(y,z) * u. [para(5037(a,2),5035(a,1,1))]. 5071 K(x,y) * z != u | K(y,x) * u = z. [para(5040(a,1),79(a,1,1)),flip(b)]. 5072 K(x,y) \ z != u | K(y,x) * z = u. [para(5040(a,1),283(a,1,1)),flip(b)]. 5073 x / (K(y,z) * ((x \ 1) \ 1)) = K(x \ 1,x) * K(z,y). [para(5040(a,1),3465(a,1,2)),flip(a)]. 5074 K(x,y) * (R(x,z,u) * K(y,x)) = R(x,z,u). [hyper(17,a,2507,a(flip),b,5042,a)]. 5075 K(x,y) * (K(x,z) * K(y,x)) = K(x,z). [hyper(17,a,1757,a(flip),b,5042,a)]. 5076 L((K(x,y) * z) \ u,K(x,y) * z,K(y,x)) = z \ (K(y,x) * u). [para(5042(a,1),102(a,2,1))]. 5077 R(x,K(y,z),K(z,y) * u) * u = (x * K(y,z)) * (K(z,y) * u). [para(5042(a,1),109(a,1,2))]. 5078 L(L(x,y,K(z,u)),K(z,u) * y,K(u,z)) = y \ (K(u,z) * (K(z,u) * (y * x))). [para(5042(a,1),447(a,1,1)),flip(a)]. 5079 T(x * K(y,z),K(z,y)) = K(y,z) * x. [hyper(171,a,5062,a,b,5042,a)]. 5080 T(x * K(y,z),K(z,y)) = K(z,y) \ x. [hyper(171,a,5062,a,b,14,a)]. 5082 (K(x,y) * K(y,z)) * K(y,x) = K(y,z). [hyper(18,a,1757,a,b,5062,a)]. 5084 (x * y) \ ((x * (y * K(z,u))) * K(u,z)) = a(x,y * K(z,u),K(u,z)). [para(5062(a,1),24(a,2,1,2)),flip(a)]. 5085 (x * K(y,z)) \ x != u | K(z,y) = u. [para(5062(a,1),284(a,1,2)),flip(b)]. 5089 R((x / y) * K(z,u),K(u,z),y) = x / (K(u,z) * y). [para(5063(a,1),226(a,1,1))]. 5094 (x * K(y,z)) \ (x * T(y,z)) = y. [hyper(18,a,4562,a,b,4722,a(flip)),flip(a)]. 5095 K(x,y) * (x * z) != u | T(x,y) * z = u. [para(4722(a,1),213(a,1,2)),flip(b)]. 5097 T(x * (y / x),z) / T(y,z) = K(x,x \ T(y,z)). [hyper(72,a,4453,a,b,4723,a)]. 5098 ((x * y) * (z * K(y,z))) / (T(y,z) * z) = R(x,y,z * K(y,z)). [para(4735(a,1),30(a,2,2)),flip(a)]. 5099 T(x,y * K(x,y)) / (T(x,y) * y) = x / ((y * K(x,y)) * x). [para(4735(a,1),3994(a,1,2))]. 5100 (x \ (x / y)) * T(x,y \ 1) = x / y. [para(4740(a,1),168(a,1,2))]. 5102 T(1 / x,R(x,y,z) \ x) = 1 / x. [para(3525(a,1),4754(a,1,1,1))]. 5103 K(x,T(y,T(x,z))) = K(x,y). [hyper(4771,a,4765,a)]. 5104 T(x,y * K(y,z)) = T(x,T(y,z)). [para(4765(a,1),4089(a,1,2))]. 5105 T(x,T(y,T(x,z))) != u | T(x,y) = u. [para(4765(a,2),4708(a,1))]. 5106 K(x,T(y,x / y)) = K(x,y). [hyper(4771,a,4767,a)]. 5107 K(x,(y \ x) \ x) = K(x,y). [para(3968(a,1),5106(a,1,2))]. 5108 K(x,x / y) = K(x,y \ x). [para(64(a,1),5107(a,1,2,1)),flip(a)]. 5109 R(x,y,z) * (x * (((u * R(x,y,z)) / u) \ 1)) = x * K(R(x,y,z),u). [para(4797(a,2),1220(a,2,2))]. 5110 T(x,x \ K(x,y)) = (x \ 1) \ 1. [para(4798(a,1),2403(a,1,2))]. 5111 (x * y) \ K(x * y,y) = (L(y,x,y) * x) \ 1. [para(4050(a,1),4798(a,1,1)),flip(a)]. 5112 T(x,y \ K(y,z)) = T(x,z / (z * y)). [para(4798(a,1),4109(a,1,2))]. 5117 K(x,y \ 1) * (y \ x) = x * ((y \ x) / x). [para(4115(a,1),4815(a,1,1))]. 5120 (x * (y / x)) \ x = y \ (y / (y / x)). [para(4829(a,2),1399(a,1,2)),flip(a)]. 5121 T(1 / x,(y * x) / y) = x \ 1. [hyper(171,a,4847,a(flip),b,4690,a(flip))]. 5123 (x \ y) * K(x,x \ y) != z | y / x = z. [para(4853(a,1),213(a,1,2)),flip(b)]. 5125 (x \ 1) / K(y,z) != u | x \ K(z,y) = u. [para(4892(a,1),293(a,1,2)),flip(b)]. 5126 (K(x,y) * K(z,u)) \ 1 = K(u,z) * K(y,x). [hyper(228,a,5035,a(flip),b,4893,a)]. 5127 (x \ K(x,y)) \ 1 = (x \ 1) \ K(y,x). [para(2695(a,1),4893(a,1,1))]. 5128 ((x \ y) * x) \ 1 = y \ K(x,x \ y). [para(4623(a,1),4893(a,1,1))]. 5129 (x * y) \ K(x,y) = (y * x) \ 1. [para(4671(a,1),4893(a,1,1)),flip(a)]. 5130 (K(x,y) \ z) \ 1 = z \ K(x,y). [para(5035(a,2),4893(a,1,1))]. 5131 (x \ 1) * K(y,z) = x \ K(y,z). [hyper(18,a,5062,a,b,4895,a),flip(a)]. 5132 (x \ 1) \ (x \ K(y,z)) = K(y,z). [para(4895(a,1),5037(a,1,1))]. 5133 (K(x,y) / z) \ (1 / u) = (z * K(y,x)) / u. [hyper(72,a,4896,a(flip),b,256,a),flip(a)]. 5135 1 / (x * (y * K(z,u))) = (K(u,z) / y) / x. [para(4896(a,1),259(a,1,2,2))]. 5136 K(x,1 / (K(y,z) / u)) = K(x,u * K(z,y)). [para(4896(a,1),3240(a,2,2))]. 5138 1 / (K(x,y) * T(x,z)) = K(y,x) / T(x,z). [para(3157(a,1),4898(a,1,2))]. 5139 1 / (x * (y * K(z,z \ 1))) = K(z \ 1,z) / (x * y). [para(4331(a,1),4898(a,1,2))]. 5140 T((x * K(y,x)) * (R(K(y,x),x,(x * K(y,x)) \ 1) \ 1),z) = (x * K(y,x)) * (T(x,z) * (x \ K(x,y))). [para(4905(a,1),2639(a,2,2,2))]. 5141 K(((x / y) \ 1) \ y,(x / y) \ 1) = K(x,x \ y). [hyper(3643,a,4914,a)]. 5142 (x * (y / x)) \ (y * (K(x,x \ y) * z)) = L(z,K(x,x \ y),y). [para(4915(a,1),28(a,2,1)),flip(a)]. 5144 T(1 / x,y) \ 1 = x * K(y,x \ 1). [para(4953(a,1),4896(a,1,1))]. 5145 (x * y) \ (x * T(y,z)) = K(y,z). [hyper(18,a,4562,a,b,4976,a(flip)),flip(a)]. 5146 x * (K(x,y) * z) != u | T(x,y) * z = u. [para(4976(a,1),213(a,1,2)),flip(b)]. 5149 x \ y != K(x,z) * u | T(x,z) \ y = u. [para(4977(a,1),19(a,1))]. 5150 K(x,x \ y) * (((x \ y) \ y) \ z) = x \ z. [para(114(a,1),4977(a,1,2,1))]. 5151 (x * K(y,z)) \ (x * z) = T(z,y). [hyper(18,a,4562,a,b,4987,a(flip)),flip(a)]. 5152 (R(x,y,z) * u) / (R(T(x,w),y,z) * u) = K(w,R(x,y,z)). [para(42(a,2),4995(a,1,2,1))]. 5155 (x * T(x \ y,z)) \ y = K(z,x \ y). [hyper(4563,a,5003,a)]. 5156 K(x,y) * T(x,T(y,z)) = T(T(x,y),T(y,z)). [hyper(228,a,4254,a(flip),b,5003,a(flip))]. 5157 (x * T(y,z)) \ (x * y) = K(z,y). [hyper(18,a,4562,a,b,5003,a(flip)),flip(a)]. 5158 L(T(x,y),z,u) \ (L(x,z,u) * w) = K(y,L(x,z,u)) * w. [para(40(a,2),5003(a,1,1))]. 5159 T(x,y) \ (z * x) = K(y,x) * T(z,x). [para(113(a,1),5003(a,1,2))]. 5160 T(x,y) * (K(y,x) * z) != u | x * z = u. [para(5003(a,1),213(a,1,2)),flip(b)]. 5162 K(x,T(y,z)) * K(z,y) = T(T(y,z),x) \ y. [para(4655(a,1),5003(a,1,2)),flip(a)]. 5163 T(x,y) \ T(x,z) = K(y,x) * K(x,z). [para(4705(a,2),5003(a,1,2))]. 5164 K(x,y) * (y * z) = y * (K(x,y) * z). [para(5003(a,1),4680(a,1,2)),flip(a)]. 5167 x * (K(y,x) * (x \ z)) = K(y,x) * z. [para(5004(a,2),4680(a,1,2))]. 5168 K(x,y) * (x / y) = x / T(y,x). [hyper(4141,a,5007,a),flip(a)]. 5169 K(x,y / z) * (z * T(z \ y,x)) = y. [hyper(1118,a,5007,a)]. 5170 T(x,y) / (K(z,x) * K(x,y)) = T(x,z). [hyper(72,a,4705,a,b,5007,a)]. 5171 K(x,1 / (y \ x)) = K(x,y / x). [para(61(a,1),5020(a,1,2,1)),flip(a)]. 5172 (x / y) * K(x,1 / y) = x * ((x / y) / x). [para(5020(a,1),240(a,1,2))]. 5173 (L(x,y,z) \ u) / (L(T(x,w),y,z) \ u) = K(L(x,y,z),w). [para(40(a,2),5025(a,1,2,1))]. 5174 (x \ 1) / (x \ K(x,y)) != z | K(y,x) = z. [para(5039(a,1),295(a,1,1)),flip(b)]. 5175 K(x,y) * (z * R(T(K(y,x),z),u,w)) = (K(x,y) * R(K(x,y) \ 1,u,w)) * z. [para(5044(a,1),1534(a,1,2,2,1))]. 5176 K(x,y) * (z * L(T(K(y,x),z),u,w)) = (K(x,y) * L(K(x,y) \ 1,u,w)) * z. [para(5044(a,1),1633(a,1,2,2,1))]. 5177 (x * K(y,z)) * y = x * T(y,z). [para(5094(a,1),14(a,1,2))]. 5178 (x * T(y,z)) / y = x * K(y,z). [para(5094(a,1),61(a,1,2))]. 5179 (x * K(y,z)) * y != u | x * T(y,z) = u. [para(5094(a,1),213(a,1,2)),flip(b)]. 5180 (x / T(y,z)) * K(y,z) = x / y. [para(5094(a,1),278(a,1,2)),flip(a)]. 5182 (x \ K(x,y)) * T((x \ 1) \ 1,z) = T(x,z) * (x \ K(x,y)). [para(5110(a,1),182(a,1,2,1))]. 5183 K(x,y) = (x * y) * ((y * x) \ 1). [para(5129(a,1),14(a,1,2)),flip(a)]. 5184 ((x * K(y,z)) \ 1) \ 1 = (x \ 1) \ K(y,z). [para(118(a,2),5130(a,1,1))]. 5186 (1 / x) \ K(y,z) = x * K(y,z). [hyper(579,a,5131,a),flip(a)]. 5187 x \ ((1 / x) \ K(y,z)) = K(y,z). [hyper(264,a,5131,a)]. 5190 (x \ (y \ 1)) * K(z,u) = (y * x) \ K(z,u). [para(118(a,1),5131(a,1,1))]. 5191 (x \ 1) \ (x \ K(y,z)) != u | K(y,z) = u. [para(5131(a,1),284(a,1,2)),flip(b)]. 5194 K(x,y) / (z \ 1) = 1 / (z \ K(y,x)). [para(5131(a,1),4898(a,1,2)),flip(a)]. 5195 (x \ 1) * K(y,z) != u | x \ K(y,z) = u. [para(5132(a,1),213(a,1,2)),flip(b)]. 5198 x \ (y * T(y \ x,z)) = K(y \ x,z). [hyper(294,a,5145,a)]. 5199 (x * y) * K(y,z) = x * T(y,z). [para(5145(a,1),14(a,1,2))]. 5200 ((x / T(y,z)) * y) \ x = K(y,z). [para(16(a,1),5145(a,1,2))]. 5201 (x * y) * K(y,z) != u | x * T(y,z) = u. [para(5145(a,1),213(a,1,2)),flip(b)]. 5203 (x * K(y,z)) * T(z,y) = x * z. [para(5151(a,1),14(a,1,2))]. 5204 (x * y) / T(y,z) = x * K(z,y). [para(5151(a,1),61(a,1,2))]. 5205 (x / y) * K(z,y) = x / T(y,z). [para(5151(a,1),278(a,1,2)),flip(a)]. 5207 (x * T(y,z)) * K(z,y) = x * y. [para(5157(a,1),14(a,1,2))]. 5208 x * K(y,z) != u * z | u * T(z,y) = x. [para(5157(a,1),84(a,1,2)),flip(b)]. 5209 (x / T(y,x)) * L(z,x / y,K(x,y)) = K(x,y) * ((x / y) * z). [para(5168(a,1),100(a,1,1))]. 5210 R(K(x,y),x / y,z) \ ((x / T(y,x)) * z) = (x / y) * z. [para(5168(a,1),141(a,1,2,1))]. 5211 (K(x,y) * K(y,z)) * y = T(y,z) * K(x,y). [hyper(228,a,2504,a,b,5177,a)]. 5213 x * T(y * K(x,z),x) = y * T(x,z). [hyper(220,a,5177,a)]. 5214 x \ (y * T(x,z)) = T(y * K(x,z),x). [hyper(171,a,5177,a,b,14,a),flip(a)]. 5215 (1 / x) * K(x,y) = K(x,y) / x. [hyper(72,a,4694,a,b,5177,a),flip(a)]. 5216 (x / y) * T(y,z) = x * K(y,z). [hyper(18,a,1322,a,b,5177,a),flip(a)]. 5217 (x * y) * K(T(x,y),z) = T(x,z) * y. [hyper(18,a,1257,a,b,5177,a)]. 5218 (x * K(y,z)) * y != u * T(y,z) | u = x. [para(5177(a,2),20(a,2)),flip(a)]. 5219 (x * (y * T(z,u))) \ ((x * (y * K(z,u))) * z) = a(x,y * K(z,u),z). [para(5177(a,1),24(a,2,1,2)),flip(a)]. 5220 (x * K(y,z)) \ (x * T(y,z)) != u | u = y. [para(5177(a,1),284(a,1,2))]. 5221 L(x \ 1,x,y * K(x,z)) = (y * T(x,z)) \ (y * K(x,z)). [para(5177(a,1),161(a,2,1))]. 5223 x \ (y * T(x,z)) != u | T(y * K(x,z),x) = u. [para(5177(a,1),285(a,1,2))]. 5225 (T(x,y) \ 1) * y = (x \ 1) * T(y,x). [para(4664(a,1),5177(a,1,1))]. 5226 ((x * K(y,z)) * K(u,y)) \ (x * T(y,z)) = T(y,u). [para(5177(a,1),5151(a,1,2))]. 5227 (x / y) \ (x * K(y,z)) = T(y,z). [hyper(71,a,5178,a(flip),b,1324,a(flip))]. 5228 T(x * K(y,z),y) != u | y \ (x * T(y,z)) = u. [para(5178(a,1),647(a,1,1))]. 5229 (x / T(y,z)) / K(z,y) = x / y. [hyper(228,a,5063,a,b,5180,a(flip)),flip(a)]. 5230 (x / (y \ z)) * K(z / y,y) = x / (z / y). [para(115(a,1),5180(a,1,1,2))]. 5232 (1 / x) * (x * K(y,z)) = K(y,z). [para(5186(a,1),14(a,1,2))]. 5233 (1 / x) \ K(y,z) != x * u | K(y,z) = u. [para(5186(a,2),19(a,1))]. 5234 ((1 / x) * y) \ K(z,u) = (y \ x) * K(z,u). [para(326(a,1),5186(a,1,1))]. 5238 1 / ((1 / x) \ K(y,z)) = K(z,y) / x. [para(5186(a,2),4898(a,1,2))]. 5239 x * K(y,z) != u | (1 / x) \ K(y,z) = u. [para(5187(a,1),213(a,1,2)),flip(b)]. 5240 (1 / x) \ L(K(y,z),u,w) = x * L(K(y,z),u,w). [para(5187(a,1),1133(a,1,2,1)),flip(a)]. 5241 x * T(x \ y,z) = y * K(x \ y,z). [hyper(542,a,5199,a),flip(a)]. 5242 (x * K(y,z)) * y = (x * y) * K(y,z). [hyper(228,a,5177,a,b,5199,a),flip(a)]. 5244 K(x,y) \ (z * T(x,y)) = T(z * x,K(x,y)). [hyper(171,a,5199,a,b,14,a),flip(a)]. 5245 (x * K(y,z)) \ ((x * y) * K(y,z)) = y. [hyper(71,a,5199,a,b,5177,a)]. 5248 (x / y) * T(y,z) != u | x * K(y,z) = u. [para(5199(a,1),300(a,1))]. 5252 R(x * y,K(y,x),K(x,z)) \ (y * T(x,z)) = K(y,x) * K(x,z). [para(5199(a,1),510(a,1,2))]. 5253 ((x * y) * T(z,u)) / ((y * z) * K(z,u)) = R(R(x,y,z),y * z,K(z,u)). [para(5199(a,1),479(a,1,1))]. 5254 (x * K(y,x)) * K(x,z) = K(y,x) * T(x,z). [para(2501(a,1),5199(a,1,1))]. 5256 (x * y) * K(y,z) = x * (y * K(y,z)). [para(4705(a,1),5199(a,2,2))]. 5257 (x / T(y,z)) * y = x * K(z,y). [hyper(1351,a,5203,a)]. 5258 x / T(y \ x,z) = y * K(z,y \ x). [hyper(72,a,14,a(flip),b,5203,a)]. 5259 (x \ y) * K(y,x) = x \ T(y,x). [hyper(18,a,4137,a,b,5203,a)]. 5263 (x * T(y,z)) * T(z,y) = (x * y) * z. [para(5199(a,1),5203(a,1,1))]. 5264 (x * K(y,z)) / z = x / T(z,y). [hyper(72,a,5204,a(flip),b,1319,a(flip))]. 5265 x * K(y,z) != z * u | T(x / T(z,y),z) = u. [para(5204(a,1),1332(a,1))]. 5267 (x / y) * K(x,y) = T(x,y) / y. [hyper(228,a,3937,a,b,5205,a)]. 5270 (x * ((y \ z) \ z)) * K(y \ z,y) = x * y. [para(114(a,1),5207(a,1,1,2))]. 5272 R(R(x,y,T(z,u)),y * T(z,u),K(u,z)) = (((x * y) * T(z,u)) * K(u,z)) / (y * z). [para(5207(a,1),479(a,1,2)),flip(a)]. 5273 K(x,y) / (z * T(x,y)) = 1 / (z * x). [para(5207(a,1),4898(a,1,2)),flip(a)]. 5277 ((x / y) * K(y,z)) \ (x * K(y,z)) = y. [hyper(71,a,5216,a(flip),b,5177,a)]. 5278 T(x,y) * z != u * K(x,y) | T(u / x,T(x,y)) = z. [para(5216(a,1),172(a,2))]. 5279 (x / y) \ T(x * K(y,z),(x / y) \ 1) = (((x / y) \ 1) \ T(y,z)) * ((x / y) \ 1). [para(5216(a,1),918(a,1,2,1))]. 5280 (x / y) * K(z,y) != u | x / T(y,z) = u. [para(5229(a,1),215(a,1,1)),flip(b)]. 5282 L(K(x,y),z,z \ 1) = K(x,y). [hyper(3001,a,5232,a)]. 5285 (1 / x) * (y * (x / y)) = K(y,y \ x). [para(4915(a,1),5232(a,1,2))]. 5287 x \ (y * K(z,x)) = T(y / T(x,z),x). [hyper(171,a,5257,a,b,14,a),flip(a)]. 5289 ((x * y) \ y) * (x * y) = y * K(x \ 1,x * y). [para(3882(a,1),5257(a,1,1))]. 5292 x \ T(x * y,x) = y * K(x * y,x). [para(13(a,1),5259(a,1,1)),flip(a)]. 5293 K(x,y) = (x \ T(y,x)) \ (x \ y). [para(5259(a,1),5037(a,1,1)),flip(a)]. 5294 T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)) = L(z,z \ (x * K(y,z)),z). [para(5264(a,1),4009(a,1,1,2))]. 5295 T(T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)),u) = L(T(z,u),z \ (x * K(y,z)),z). [para(5264(a,1),4010(a,1,1,1,2))]. 5297 T(K(x * (1 / y),y \ 1) / y,x) = R(1 / y,x,1 / y). [para(3250(a,1),4836(a,1,1))]. 5298 K(x \ 1,y) != z | K(1 / x,y) = z. [para(583(a,1),4947(a,1,1))]. 5301 T(x,x * y) * K(y,x) = L(x,y,x). [hyper(2508,a,4980,a)]. 5302 K(x,y) = T(y,y * x) \ L(y,x,y). [hyper(71,a,4980,a(flip),b,2504,a),flip(a)]. 5303 T(x,y) * K(x * y,x) = R(x,y,x). [hyper(2508,a,4982,a)]. 5304 T(x,x * y) \ T(x,y) = x \ R(x,y,x). [hyper(71,a,4982,a(flip),b,4680,a),flip(a)]. 5307 (K(x,y) * K(y,z)) * K(y,x) != u | K(y,z) = u. [para(1757(a,1),5065(a,1,1)),flip(b)]. 5312 T(x,y) != z | x * K(x,y) = z. [para(4658(a,2),5067(a,1))]. 5314 ((x * K(y,z)) \ (u \ 1)) * u != w | K(z,y) * ((x \ (u \ 1)) * u) = w. [para(4529(a,1),5072(a,1))]. 5316 (((x \ y) \ y) * K(z,u)) \ T(x,x \ y) != w | K(u,z) = w. [para(245(a,1),5085(a,1,1))]. 5317 T((1 / x) * R((1 / x) \ 1,y,z),R(x,u,w) \ x) = (1 / x) * R(T(1 / x,R(x,u,w) \ x) \ 1,y,z). [para(5102(a,1),2014(a,1,1)),flip(a)]. 5318 T(x,R(T(x,y) \ z,u,w)) != v5 | T(x,R(z / T(x,y),u,w)) = v5. [para(187(a,1),5105(a,1,2))]. 5321 K(x,x * y) * K(y,x) = x \ L(x,y,x). [hyper(71,a,5301,a(flip),b,4675,a),flip(a)]. 5322 T(x,y \ x) * K(y \ 1,x) = L(x,y \ 1,x). [para(1713(a,1),5301(a,1,1))]. 5323 T(x,x * y) * K(y,x) != z | L(x,y,x) = z. [para(5302(a,2),213(a,1,2)),flip(b)]. 5325 K(x,y) * K(x * y,x) = x \ R(x,y,x). [hyper(71,a,5303,a(flip),b,4675,a),flip(a)]. 5326 (x * T(y,z)) \ (x * R(y,z,y)) = L(K(y * z,y),T(y,z),x). [para(5303(a,1),28(a,2,2,2)),flip(a)]. 5327 R(x * T(x \ 1,y),z,u) * R(R(x * T(x \ 1,y),z,u) \ 1,w,v5) = R((x * T(x \ 1,y)) * R(K(y,x \ 1),w,v5),z,u). [para(4648(a,1),2753(a,2,1,2,1))]. 5328 K((1 / x) \ y,y) = K(y * x,y). [hyper(228,a,4641,a,b,4663,a)]. 5330 K(x * (y \ 1),x) = K(y \ x,x). [para(61(a,1),5328(a,1,1,1)),flip(a)]. 5331 K(((x * y) / x) \ z,z) = K(z * (y \ K(y,x)),z). [para(4798(a,1),5330(a,1,1,2)),flip(a)]. 5332 K(x,y) * (((y * x) / y) * z) = x * z. [para(13(a,1),4670(a,1,2)),flip(a)]. 5335 (x * K(y,x)) \ y = x \ (y * K(x,y)). [para(4673(a,1),4672(a,1,1))]. 5336 (x * (y * T(y \ z,u))) / (x * z) = K((x * z) / (x * y),u). [hyper(72,a,851,a(flip),b,4677,a)]. 5338 x / (y * T(y \ x,z)) = K(z,x / y). [para(4677(a,1),5040(a,1,2))]. 5340 K(x * K(y,y \ 1),z) = K(x,z). [hyper(228,a,4645,a,b,4686,a)]. 5341 K(x * K(y \ 1,y),z) = K(x,z). [para(1845(a,1),5340(a,1,1,2))]. 5342 K(x * (1 / (1 / y)),z) = K(x * y,z). [para(2824(a,1),5340(a,1,1)),flip(a)]. 5343 K(x * ((y \ 1) \ 1),z) = K(x * y,z). [para(2894(a,1),5340(a,1,1))]. 5344 K(K(x \ 1,x) * y,z) = K(y,z). [para(2908(a,1),5340(a,1,1)),flip(a)]. 5345 K(x * (1 / y),z) = K(x * (y \ 1),z). [para(2920(a,1),5340(a,1,1))]. 5346 K(x / (1 / y),z) = K(x / (y \ 1),z). [para(2921(a,1),5340(a,1,1)),flip(a)]. 5347 K(((x \ 1) \ 1) * y,z) = K(x * y,z). [para(3003(a,1),5340(a,1,1))]. 5349 K((1 / x) * y,z) = K((x \ 1) * y,z). [para(3026(a,1),5340(a,1,1))]. 5350 K(x \ (y * K(z,z \ 1)),u) = K(x \ y,u). [para(4333(a,2),5340(a,1,1))]. 5351 K(x \ (K(y,y \ 1) * z),u) = K(x \ z,u). [para(4334(a,2),5340(a,1,1))]. 5352 K(x \ K(y \ 1,y),z) = K(x \ 1,z). [para(4895(a,1),5340(a,1,1)),flip(a)]. 5353 K((1 / (1 / x)) * y,z) = K(x * y,z). [para(3037(a,1),5341(a,1,1))]. 5354 K((1 / (1 / x)) * (x \ y),z) = K(y,z). [para(3070(a,2),5341(a,1,1))]. 5356 K(x \ (1 / y),z) = K(x \ (y \ 1),z). [para(4402(a,1),5341(a,1,1)),flip(a)]. 5357 K((K(x,x \ 1) * y) \ z,u) = K(y \ z,u). [para(4401(a,2),5341(a,1,1))]. 5358 K(((1 / x) * y) \ z,u) = K(((x \ 1) * y) \ z,u). [para(4371(a,1),5344(a,1,1))]. 5359 x * (y * ((z * (y \ (x \ 1))) / z)) = K(z,(x * y) \ 1). [hyper(1251,a,4692,a)]. 5361 (x * ((y * (x \ z)) / y)) / z = K(y,(x / z) \ 1). [hyper(228,a,2197,a(flip),b,4692,a(flip)),flip(a)]. 5362 (x * y) * ((z * ((x * y) \ x)) / z) = x * K(z,y \ 1). [para(4692(a,1),1032(a,2,2))]. 5364 (x * y) * ((z * ((x * y) \ y)) / z) = K(z,x \ 1) * y. [para(4692(a,1),1597(a,2,1))]. 5365 x * K(y,(x \ z) \ 1) = z * ((y * (z \ x)) / y). [para(4692(a,1),1743(a,1,2))]. 5366 ((x * y) * ((z * ((x * y) \ x)) / z)) * y = (x * y) * K(z,y \ 1). [para(4692(a,1),2118(a,2,2))]. 5367 K(x,R(y,z,u) \ 1) * (z * u) = ((y * z) * ((x * ((y * z) \ z)) / x)) * u. [para(4692(a,1),2742(a,1,1))]. 5368 ((1 / x) * y) * T(((1 / x) * y) \ y,z) = K(x,z) * y. [para(4695(a,2),1158(a,2,1))]. 5370 L(x,y,z) \ K(x,L(x,y,z) \ 1) = (L(x,y,z) \ x) / x. [para(1364(a,1),4702(a,2,1))]. 5371 K(x,x * (y \ 1)) = K(x,y \ x). [hyper(228,a,4649,a,b,4711,a)]. 5372 K(x,y * K(z,z \ 1)) = K(x,y). [hyper(228,a,4649,a,b,4727,a)]. 5373 K(x,y * K(z,1 / z)) = K(x,y). [para(1839(a,2),5372(a,1,2,2))]. 5374 K(x,K(y,y \ 1) * z) = K(x,z). [para(2341(a,2),5372(a,1,2))]. 5375 K(x,y / (1 / (1 / z))) = K(x,y / z). [para(2828(a,1),5372(a,1,2))]. 5376 K(x,y * ((z \ 1) \ 1)) = K(x,y * z). [para(2894(a,1),5372(a,1,2))]. 5377 K(x,y * T(z,z \ 1)) = K(x,y * z). [para(2895(a,1),5372(a,1,2))]. 5378 K(x,K(y \ 1,y) * z) = K(x,z). [para(2908(a,1),5372(a,1,2)),flip(a)]. 5379 K(x,y * (1 / z)) = K(x,y * (z \ 1)). [para(2920(a,1),5372(a,1,2))]. 5380 K(x,(y \ 1) * (y * z)) = K(x,L(z,y,y \ 1)). [para(2918(a,1),5372(a,1,2)),flip(a)]. 5381 K(x,((y \ 1) \ 1) * z) = K(x,y * z). [para(3003(a,1),5372(a,1,2))]. 5382 K(x,((y \ 1) \ 1) \ z) = K(x,y \ z). [para(3016(a,1),5372(a,1,2)),flip(a)]. 5383 K(x,(1 / y) \ z) = K(x,(y \ 1) \ z). [para(3020(a,1),5372(a,1,2)),flip(a)]. 5384 K(x,(1 / y) * z) = K(x,(y \ 1) * z). [para(3026(a,1),5372(a,1,2))]. 5385 K(x,y \ (K(z,z \ 1) * u)) = K(x,y \ u). [para(4334(a,2),5372(a,1,2))]. 5386 K(x,K(y,1 / y) * z) = K(x,z). [para(2351(a,2),5373(a,1,2))]. 5387 K(x,y * (z * K(u,1 / u))) = K(x,y * z). [para(4324(a,1),5373(a,1,2))]. 5388 K(x,y \ (1 / z)) = K(x,y \ (z \ 1)). [para(4403(a,1),5374(a,1,2))]. 5389 K(x,T(y * K(z,z \ 1),u)) = K(x,T(y,u)). [para(4522(a,2),5374(a,1,2))]. 5390 K(x,y * ((1 / z) \ u)) = K(x,y * ((z \ 1) \ u)). [para(4442(a,1),5374(a,1,2)),flip(a)]. 5391 K(x,(K(y,y \ 1) * z) \ u) = K(x,z \ u). [para(4370(a,2),5378(a,1,2))]. 5392 K(x,((1 / y) * z) \ u) = K(x,((y \ 1) * z) \ u). [para(4371(a,1),5378(a,1,2))]. 5393 K(x,y / (K(z,z \ 1) * u)) = K(x,y / u). [para(4553(a,2),5378(a,1,2))]. 5394 K(x,y / (z * K(u,u \ 1))) = K(x,y / z). [para(4554(a,2),5378(a,1,2))]. 5395 K(x,K(y,1 / y) / z) = K(x,1 / z). [para(3440(a,1),5386(a,1,2))]. 5396 T(x,y) * K(z,T(x,y)) = T(x * K(z,x),y). [hyper(18,a,4715,a,b,4746,a),flip(a)]. 5397 T(x * K(x * y,x),y) = R(x,y,x). [hyper(18,a,3983,a,b,4746,a)]. 5398 T(x * K(y * R(x,z,u),x),y) = R(x,y,R(x,z,u)). [hyper(18,a,1673,a,b,4746,a)]. 5399 T((x * y) / x,z) = T(y * K(x,y),z). [hyper(18,a,410,a,b,4746,a),flip(a)]. 5400 T(T(x * K(x * y,x),z),y) = T(R(x,y,x),z). [para(5397(a,1),38(a,1,1)),flip(a)]. 5401 T(x * K(y \ x,x),y \ 1) = R(x,y \ 1,x). [para(5330(a,1),5397(a,1,1,2))]. 5402 T(x * K(y \ x,x),y \ 1) = R(x,x \ (y \ x),x). [hyper(228,a,4183,a,b,4747,a)]. 5403 K(x,T(y,z)) * T(y,z) = T(y * K(x,y),z). [hyper(228,a,4716,a(flip),b,4747,a),flip(a)]. 5404 T(x,y) \ T(x * K(z,x),y) = K(z,T(x,y)). [hyper(71,a,4747,a,b,4673,a(flip))]. 5405 T(x * K(y,x),y) != z | z = x. [para(4747(a,2),298(a,1))]. 5406 T(x * K(y,x),z) \ T(x,z) = K(T(x,z),y). [para(4747(a,2),4644(a,2,1)),flip(a)]. 5407 T(x * K(y,x),z) != u | T(x,z) * K(y,T(x,z)) = u. [para(4747(a,2),4745(a,1))]. 5409 K(x,((y \ z) / z) \ 1) = K(x,y). [hyper(4771,a,4766,a)]. 5410 K(x,(y / z) \ 1) = K(x,z / y). [para(64(a,1),5409(a,1,2,1,1))]. 5411 K(x,(y / z) \ 1) = K(x,z / y) * 1. [hyper(228,a,12,a,b,5410,a)]. 5412 K(x,1 / (y / z)) = K(x,z / y). [hyper(228,a,3240,a,b,5410,a(flip)),flip(a)]. 5413 K(x,y / (z * y)) = K(x,z \ 1). [para(15(a,1),5410(a,1,2,1)),flip(a)]. 5415 K(x,y * (z \ 1)) = K(x,y / z). [para(120(a,1),5410(a,1,2))]. 5416 K(x,y / (z * y)) = K(x,1 / z). [para(15(a,1),5412(a,1,2,2)),flip(a)]. 5419 K(x * y,x \ 1) * ((x * y) \ y) = y / (x * y). [para(5413(a,1),4738(a,1,1))]. 5420 L(K(x,y / z),u,u \ 1) = K(x,y * (z \ 1)). [hyper(228,a,5282,a,b,5415,a),flip(a)]. 5421 K(x,y / (1 / z)) = K(x,y * z). [para(64(a,1),5415(a,1,2,2)),flip(a)]. 5422 K(x,y * (z \ (u \ 1))) = K(x,y / (u * z)). [para(118(a,1),5415(a,1,2,2))]. 5423 K(x,y * (x \ 1)) != z | K(x,x \ y) = z. [para(5415(a,2),4941(a,1))]. 5424 K(x,y / (z * y)) != u | K(x,z \ 1) = u. [para(5416(a,2),5022(a,1))]. 5425 K(x,y / ((1 / z) * u)) = K(x,y * (u \ z)). [para(326(a,1),5421(a,1,2,2))]. 5426 K(x,y / ((1 / (1 / z)) \ u)) = K(x,y * ((u \ 1) * z)). [para(323(a,1),5421(a,1,2,2))]. 5427 T(T(x,y),z) != u | T(T(x,z),y) = u. [para(4770(a,1),4708(a,1))]. 5428 T(T(x,y),x * z) != u | T(T(x,y),z * x) = u. [para(4073(a,1),5427(a,1))]. 5429 T(T(x,y),z * x) != u | T(T(x,x * z),y) = u. [para(4083(a,2),5427(a,1))]. 5432 x * (y * K(z,y)) != u | u / ((z * y) / z) = x. [para(4828(a,1),85(a,1))]. 5433 K(x,y * x) = K(x,x * y). [hyper(4861,a,4860,a)]. 5435 K(x,x * (y / x)) = K(x,y). [para(16(a,1),5433(a,1,2)),flip(a)]. 5436 K(x * (y * z),a(x,y,z) * (x * (y * z))) = K(x * (y * z),(x * y) * z). [para(89(a,1),5433(a,2,2))]. 5437 K(x,T(y * x,z)) = K(x,T(x * y,z)). [para(4461(a,1),5435(a,1,2)),flip(a)]. 5438 K(x,(1 / x) * (y * x)) = K(x,L(y,x,x \ 1)). [para(2994(a,1),4873(a,1,2))]. 5444 L(x * K(y,x),z,u) * T(y,x) = T(y,x) * L(x,z,u). [para(4890(a,1),590(a,1,1,1))]. 5446 K(x \ y,x) * ((x \ y) \ z) = (y / x) \ z. [para(14(a,1),4978(a,1,1,1)),flip(a)]. 5449 (x * K(y,x)) \ z = K(x,y) * (x \ z). [para(4673(a,1),4978(a,1,1))]. 5450 (((x * y) / x) \ z) \ 1 = (y \ z) \ K(x,y). [para(4978(a,2),4893(a,1,1))]. 5452 K(x,y) * (T(y,z) * x) = T(y,z) * T(x,y). [hyper(228,a,4087,a(flip),b,4979,a)]. 5453 K(x,y) * (x \ (y \ z)) = x \ (T(y,x) \ z). [hyper(71,a,5004,a(flip),b,4991,a),flip(a)]. 5457 (K(x,y) / T(y,z)) \ 1 = K(y,z) * T(y,x). [hyper(228,a,4896,a,b,5002,a),flip(a)]. 5458 K(x,y) * T(x,z) = K(x,z) * T(x,y). [hyper(228,a,3157,a(flip),b,5002,a)]. 5459 K(x,y) * T(x,z) != K(x,z) * u | T(x,y) = u. [para(5002(a,2),3166(a,1))]. 5460 K(x,y) * T(x,z) != u | K(x,z) * T(x,y) = u. [para(5002(a,2),3167(a,1))]. 5462 T(x * K(y,z),K(z,y)) != u | K(y,z) * x = u. [para(5080(a,2),5072(a,1))]. 5463 (x \ (x / (y \ 1))) * T(x,y) = x / (y \ 1). [para(3103(a,1),5100(a,1,2))]. 5464 x * ((y * (x / y)) \ y) = x / (x / y). [para(5120(a,2),14(a,1,2))]. 5465 x * (y \ K(x,x \ y)) = (x \ y) \ 1. [para(5128(a,1),47(a,1,2))]. 5466 (((x \ (y / z)) * x) * z) \ y = K(x,(x * z) \ y). [para(1049(a,1),5155(a,1,1))]. 5467 (x * (y * T(y \ (x \ z),u))) \ z = K(u,(x * y) \ z). [para(852(a,1),5155(a,1,1))]. 5468 ((x * T(x \ y,z)) * u) \ (y * u) = K(z,(x * u) \ (y * u)). [para(1416(a,1),5155(a,1,1))]. 5469 T(x * T(x \ y,z),u) \ T(y,u) = K(z,T(x,u) \ T(y,u)). [para(2028(a,1),5155(a,1,1))]. 5470 x * (K(y,x) * T(z,x)) = K(y,x) * (z * x). [para(5159(a,1),4680(a,1,2))]. 5471 T(x,y) \ T(x,z) = K(x,z) * K(y,x). [hyper(228,a,1757,a,b,5163,a)]. 5473 R(K(x,y),y * z,u) * ((y * z) * u) = (y * (K(x,y) * z)) * u. [para(5164(a,1),109(a,2,1))]. 5474 x * (K(y,x) * (x \ z)) != u | K(y,x) * z = u. [para(5164(a,1),302(a,1))]. 5478 K(x,y / (z \ 1)) * (z \ T(z * y,x)) = y. [para(868(a,1),5169(a,1,2))]. 5479 K(x,(y \ z) / (y \ 1)) * (y \ T(z,x)) = y \ z. [para(921(a,1),5169(a,1,2))]. 5480 K(x,(y * z) / (y * (u \ z))) * ((y * (u \ z)) * T(L(T(u,u \ z),u \ z,y),x)) = y * z. [para(267(a,2),5169(a,1,2,2,1))]. 5482 x / (K(y,x * K(z,x)) * K(x * K(z,x),z)) = T(x * K(z,x),y). [para(4674(a,1),5170(a,1,1))]. 5484 x \ (y \ ((z \ (y * x)) * z)) = K((y \ z) \ x,z). [para(893(a,1),5198(a,1,2))]. 5485 x \ (((y \ (x * z)) * y) / z) = K((y / z) \ x,y). [para(1468(a,1),5198(a,1,2))]. 5491 (x \ y) * K((x \ 1) \ (x \ y),z) = x \ T(y,z). [hyper(4510,a,5241,a),flip(a)]. 5492 x \ T(x * y,z) = y * K((x \ 1) \ y,z). [hyper(950,a,5241,a)]. 5493 K(x \ (x / y),z) = y * T(y \ 1,z). [hyper(1121,a,5241,a(flip)),flip(a)]. 5494 K(x / y,z) * x = x * K(y \ x,z). [hyper(228,a,4677,a,b,5241,a(flip)),flip(a)]. 5495 T(K(x / y,z),x) = K(y \ x,z). [hyper(171,a,4677,a,b,5241,a(flip))]. 5497 K(x / y,x) = K(y \ x,x). [hyper(17,a,4682,a(flip),b,5241,a(flip)),flip(a)]. 5498 x \ (y * T(y \ x,z)) != u | K(y \ x,z) = u. [para(5241(a,2),284(a,1,2)),flip(b)]. 5499 (x * K(y \ x,z)) * (y \ 1) = T(x * (y \ 1),z). [para(5241(a,1),955(a,1,1))]. 5500 T(x,y) * T(T(x,y) \ y,z) = T(y * K(x \ y,z),y). [para(5241(a,1),1726(a,2,1))]. 5501 K((x \ y) \ y,y) = K(x,y). [para(61(a,1),5497(a,1,1)),flip(a)]. 5502 K((x \ y) \ y,z) = T(K(x,z),y). [para(61(a,1),5495(a,1,1,1)),flip(a)]. 5505 R(T(x,y * K(x,z)),y,K(x,z)) = T(x,y). [para(5245(a,1),1038(a,1,1)),flip(a)]. 5506 R(x,y,K(y,z)) = x. [hyper(476,a,5256,a)]. 5507 L(K(x,y),x,z) = K(x,y). [hyper(445,a,5256,a)]. 5512 L(K(x,y),x,z) = K(y,x) \ 1. [hyper(228,a,4879,a,b,5507,a)]. 5513 L(K(x,y),x,z) != u | K(x,y) = u. [para(5512(a,2),4887(a,1))]. 5518 (x * T(y,L(z,y,x))) \ (x * (y * z)) = T(L(z,y,x),y). [hyper(71,a,100,a(flip),b,5263,a)]. 5519 ((x * y) * z) / (y * z) = R(x,T(y,z),T(z,y)). [hyper(72,a,5263,a(flip),b,3931,a)]. 5520 (x * K(y,z)) / y != u | (x / y) * K(y,z) = u. [para(5277(a,1),293(a,1,2)),flip(b)]. 5521 K(x \ 1,x) * K(y,y \ x) = (x \ 1) * (y * (x / y)). [para(5285(a,1),2987(a,1,2))]. 5522 x * (y * K(x * y,x)) = T(x * y,x). [para(5292(a,1),14(a,1,2))]. 5523 K(x,y) * (y * z) = ((x * y) / x) * z. [hyper(5071,a,5332,a)]. 5524 K(x \ y,x) * ((y / x) * z) = (x \ y) * z. [para(14(a,1),5332(a,1,2,1,1))]. 5526 x / (((y \ (x / z)) * y) * z) = K(y,x / (y * z)). [para(1049(a,1),5338(a,1,2))]. 5527 x / (((y \ (x * z)) * y) / z) = K(y,x / (y / z)). [para(1468(a,1),5338(a,1,2))]. 5528 K(x * R(1 / y,z,u),w) = K(x * R(y \ 1,z,u),w). [para(3368(a,1),5342(a,1,1,2))]. 5529 K(x * T((y * z) \ z,y),u) = K(x * ((y * z) \ z),u). [para(2400(a,2),5343(a,1,1,2))]. 5530 K(((x * K(y,z)) \ 1) * u,w) = K((K(z,y) / x) * u,w). [para(4896(a,1),5347(a,1,1,1,1))]. 5531 K(x \ ((y \ 1) * y),z) = K(x \ 1,z). [para(189(a,1),5352(a,1,1,2))]. 5532 K(x,y * (1 / z)) = K(x,y / z). [hyper(228,a,5421,a(flip),b,5375,a(flip)),flip(a)]. 5533 K(x,y * (1 / x)) = K(x,x \ y). [hyper(228,a,4874,a(flip),b,5532,a)]. 5534 K(x,y / (z \ 1)) = K(x,y * z). [para(61(a,1),5532(a,1,2,2)),flip(a)]. 5535 T(x,y * (1 / z)) = x * K(x,y / z). [para(5532(a,1),4705(a,2,2))]. 5536 K(x,y / (z * K(u,w))) = K(x,y * (K(w,u) / z)). [para(4898(a,1),5532(a,1,2,2)),flip(a)]. 5537 K(x \ 1,(x \ 1) \ y) = K(x \ 1,y * x). [para(61(a,1),5533(a,1,2,2)),flip(a)]. 5538 K(x,((y \ 1) / z) \ 1) = K(x,z * y). [hyper(228,a,5410,a,b,5534,a(flip)),flip(a)]. 5539 K(x,(y \ 1) \ x) = K(x,x * y). [hyper(228,a,5108,a(flip),b,5534,a(flip)),flip(a)]. 5540 K(x,(1 / y) \ z) = K(x,y * z). [para(317(a,1),5534(a,1,2))]. 5541 K(x,(y \ 1) \ x) = K(x,y * x). [hyper(228,a,5433,a,b,5539,a)]. 5542 K(x,(R(y,z,u) \ y) \ x) = K(x,x * (y \ R(y,z,u))). [para(3522(a,1),5539(a,1,2,1))]. 5543 K(x,(y \ 1) * z) = K(x,y \ z). [para(61(a,1),5540(a,1,2,1)),flip(a)]. 5544 K(x,((1 / y) * z) \ u) = K(x,(z \ y) * u). [para(326(a,1),5540(a,1,2,1))]. 5545 K(x,(y \ (z \ 1)) * u) = K(x,(z * y) \ u). [para(118(a,1),5543(a,1,2,1))]. 5546 K(x,(K(y,z) * u) \ w) = K(x,(u \ K(z,y)) * w). [para(4893(a,1),5543(a,1,2,1)),flip(a)]. 5547 K(x \ (y \ 1),z * T(u,u \ 1)) = K(x \ (1 / y),z * u). [hyper(228,a,5356,a,b,5377,a)]. 5548 K(x,(y \ 1) \ z) = K(x,y * z). [hyper(228,a,5543,a(flip),b,5381,a(flip)),flip(a)]. 5549 (x \ 1) \ (x \ K(y,z * u)) = K(y,(z \ 1) \ u). [hyper(228,a,5132,a,b,5548,a),flip(a)]. 5550 (1 / x) \ K(y,z * u) = x * K(y,(z \ 1) \ u). [hyper(71,a,5548,a(flip),b,5232,a)]. 5551 K(x,(1 / y) * z) = K(x,y \ z). [para(64(a,1),5548(a,1,2,1)),flip(a)]. 5552 K(x,(y * (z \ 1)) \ u) = K(x,(z / y) * u). [para(120(a,1),5548(a,1,2,1))]. 5553 K(x,((y \ 1) * ((z \ 1) \ u)) \ w) = K(x,((z / (1 / u)) \ y) * w). [para(946(a,1),5548(a,1,2,1))]. 5554 K(x,(y * K(z,u)) \ w) = K(x,(K(u,z) / y) * w). [para(4896(a,1),5548(a,1,2,1))]. 5555 K(x,1 / (y \ z)) = K(x,z \ y). [para(326(a,2),5551(a,1,2))]. 5556 (x \ (((1 / y) * z) \ 1)) * ((1 / y) * z) = x \ K(((1 / y) * z) \ 1,y \ z). [para(5551(a,1),4362(a,1,2)),flip(a)]. 5557 K(x,(1 / x) * y) * y = x * (y / x). [para(5551(a,2),4723(a,1,1))]. 5558 K(x,(y \ z) \ 1) = K(x,z \ y). [hyper(5022,a,5555,a)]. 5559 K(x,(y * (z * u)) \ (y * z)) = K(x,1 / L(u,z,y)). [para(28(a,2),5555(a,1,2,2)),flip(a)]. 5561 K(x,(y \ z) \ 1) = K(z \ y,x) \ 1. [hyper(228,a,4879,a,b,5558,a)]. 5562 K(x,(y * z) \ y) = K(x,z \ 1). [para(13(a,1),5558(a,1,2,1)),flip(a)]. 5563 K(x,((y * z) \ y) \ 1) = K(x,z). [para(13(a,1),5558(a,2,2))]. 5564 K(x,((y * z) * u) \ (y * (z * u))) = K(x,a(y,z,u) \ 1). [para(24(a,2),5558(a,1,2,1)),flip(a)]. 5566 K(x,L(y \ z,y,u) \ 1) = K(x,(u * z) \ (u * y)). [para(102(a,2),5558(a,1,2,1))]. 5567 K(x,(T(y,z) * (y \ u)) \ 1) = K(x,(T(y,z) * u) \ y). [para(1052(a,1),5558(a,1,2,1))]. 5570 K(x,(K(y,z) * u) \ 1) = K(x,u \ K(z,y)). [para(5035(a,1),5558(a,1,2,1))]. 5571 L(K(x,y \ 1),x,z) = K(x,(u * y) \ u). [hyper(228,a,5507,a,b,5562,a),flip(a)]. 5574 (x * y) * (x / (x * y)) = x * K(x * y,y \ 1). [para(5562(a,1),4915(a,1,2)),flip(a)]. 5577 K(x,R(y \ 1,y,z) \ u) = K(x,(z / (y * z)) \ u). [para(3305(a,2),5382(a,1,2,1))]. 5578 K(x,R(1 / y,z,u) \ w) = K(x,R(y \ 1,z,u) \ w). [para(3369(a,1),5382(a,1,2,1)),flip(a)]. 5579 K(x,(y / z) \ 1) != u | K(x,z / y) = u. [para(5411(a,2),81(a,1)),flip(b)]. 5580 x / (K(y,z) * (y \ x)) = y * K(z,y). [para(5449(a,1),61(a,1,2))]. 5581 ((x * K(y,x)) \ z) \ 1 = (x \ z) \ K(y,x). [para(5449(a,2),4893(a,1,1))]. 5582 K(x,y) * (K(y,z) * T(y,x)) = T(y,z). [hyper(5071,a,5458,a)]. 5583 (K(x,y) * T(x,z)) \ 1 = T(x,y) \ K(z,x). [para(5458(a,1),4893(a,1,1))]. 5584 K(x / (x / y),y \ x) * K(z,x / (x / y)) = T(x / (x / y),z) \ y. [para(3909(a,1),5471(a,1,2)),flip(a)]. 5585 K(x \ (x / y),z) = T(z,y \ 1) \ z. [hyper(228,a,3891,a,b,5493,a)]. 5587 K(x \ (x / y),z) = K(y \ 1,z). [hyper(228,a,4650,a(flip),b,5493,a)]. 5600 K((x * y) \ x,z) = K(y \ 1,z). [para(15(a,1),5587(a,1,1,2))]. 5601 K((x \ y) \ 1,z) = K(y \ x,z). [para(61(a,1),5587(a,1,1,2)),flip(a)]. 5602 K(T(x,y) \ 1,z) = K((x * y) \ y,z). [para(137(a,1),5587(a,1,1,2)),flip(a)]. 5603 K(L(x \ y,x,z) \ 1,u) = K((z * y) \ (z * x),u). [para(439(a,1),5587(a,1,1,2)),flip(a)]. 5608 K(L(x \ 1,x,y),z) = K(x \ 1,z). [para(161(a,2),5600(a,1,1))]. 5609 K((x \ y) / y,z) = K(x \ 1,z). [para(330(a,1),5600(a,1,1))]. 5610 K(1 / (x \ y),z) = K(y \ x,z). [hyper(5298,a,5601,a)]. 5611 T(K(x / y,z),x) = K((x \ y) \ 1,z). [hyper(228,a,5495,a,b,5601,a),flip(a)]. 5612 K((x \ y) \ 1,(z \ u) \ 1) = K(y \ x,u \ z). [hyper(228,a,5558,a(flip),b,5601,a)]. 5613 K(((x * y) \ x) \ 1,z) = K(y,z). [hyper(228,a,644,a(flip),b,5601,a)]. 5615 T(x,(y \ z) \ 1) = K(z \ y,x) \ x. [para(5601(a,1),4666(a,2,1))]. 5617 K(x \ (y \ x),x) = K(y \ 1,x). [hyper(228,a,4882,a(flip),b,5609,a(flip)),flip(a)]. 5618 K(x / (y * x),z) = K(y \ 1,z). [para(13(a,1),5609(a,1,1,1))]. 5619 K((x / y) \ 1,z) = K(y / x,z). [para(64(a,1),5609(a,1,1,1)),flip(a)]. 5620 (x * K(y \ 1,x)) \ (y \ x) = (y \ x) / x. [para(5609(a,1),4830(a,1,1,2))]. 5621 K((1 / x) * y,z) = K(x \ y,z). [para(326(a,1),5610(a,1,1))]. 5622 L(K(x,y),x,z) = K(((u * x) \ u) \ 1,y). [hyper(228,a,5507,a,b,5613,a),flip(a)]. 5627 (1 / ((x * y) \ x)) * K(y,z) = T(1 / ((x * y) \ x),z). [para(5613(a,1),4777(a,1,2))]. 5628 K((x / y) \ 1,x) = K(x \ y,x). [para(64(a,1),5617(a,1,1,2)),flip(a)]. 5629 K(x / (y * x),z) = K(1 / y,z). [hyper(228,a,2853,a,b,5618,a)]. 5630 K(x / (y * x),z) != u | K(1 / y,z) = u. [para(5618(a,2),5298(a,1))]. 5631 K(1 / (x / y),z) = K(y / x,z). [hyper(5298,a,5619,a)]. 5633 K(x * (y \ 1),z) = K(x / y,z). [para(120(a,1),5619(a,1,1))]. 5634 K((1 / x) \ y,z) = K(x * y,z). [hyper(228,a,5353,a(flip),b,5621,a(flip))]. 5635 K((x \ 1) * y,z) = K(x \ y,z). [hyper(228,a,5349,a(flip),b,5621,a(flip)),flip(a)]. 5637 K((x \ 1) \ y,z) = K(x * y,z). [para(61(a,1),5621(a,1,1,1)),flip(a)]. 5638 K((x * (y \ 1)) \ z,u) = K((y / x) * z,u). [para(259(a,1),5621(a,1,1,1)),flip(a)]. 5639 K(x * (y \ 1),y) = K(y \ x,y). [para(120(a,1),5628(a,1,1))]. 5640 K(x / (y * x),z) != u | K(y \ 1,z) = u. [para(5629(a,2),2855(a,1))]. 5641 K(x / y,z) != u | K((y / x) \ 1,z) = u. [para(5631(a,1),2855(a,1))]. 5642 K(x * (1 / y),z) = K(x / y,z). [hyper(228,a,5345,a,b,5633,a(flip)),flip(a)]. 5643 (x * (y \ 1)) * (y / x) = K(x / y,y / x). [hyper(228,a,3255,a(flip),b,5633,a(flip)),flip(a)]. 5644 K(x / (1 / y),z) = K(x * y,z). [para(64(a,1),5633(a,1,1,2)),flip(a)]. 5645 K(x * (y \ (z \ 1)),u) = K(x / (z * y),u). [para(118(a,1),5633(a,1,1,2))]. 5646 K(x / (K(y,z) * u),w) = K(x * (u \ K(z,y)),w). [para(4893(a,1),5633(a,1,1,2)),flip(a)]. 5647 K(x * y,y) = K(y * x,y). [hyper(228,a,5328,a(flip),b,5634,a(flip))]. 5648 T(x * K(x * y,x),y * x) = x. [para(5647(a,1),4674(a,1,1,2))]. 5649 K(x * (y \ 1),y \ 1) = K(y \ x,y \ 1). [hyper(228,a,5647,a,b,5635,a(flip)),flip(a)]. 5651 ((x \ 1) \ y) * K(x * y,z) = T((x \ 1) \ y,z). [para(5637(a,1),4705(a,2,2)),flip(a)]. 5652 K(x * (1 / y),y) = K(y \ x,y). [hyper(228,a,5345,a,b,5639,a(flip)),flip(a)]. 5653 K(x \ (y \ 1),y) = K(y \ (x \ 1),y). [hyper(228,a,5635,a(flip),b,5639,a(flip)),flip(a)]. 5654 K((x \ 1) \ y,x \ 1) = K(y * x,x \ 1). [hyper(228,a,5343,a(flip),b,5639,a(flip))]. 5655 ((1 / x) \ y) * (1 / x) = y * K(y * x,1 / x). [para(5644(a,1),4920(a,1,2)),flip(a)]. 5656 K((1 / x) * y,x) = K(y * (1 / x),x). [hyper(228,a,5621,a,b,5652,a),flip(a)]. 5657 K(L(x \ 1,x,y),z) = K(1 / x,z). [hyper(228,a,2853,a,b,5608,a)]. 5658 K(L(1 / x,x,y),z) = K(1 / x,z). [hyper(228,a,2860,a,b,5657,a(flip)),flip(a)]. 5659 K(L(x,x \ 1,y),z) = K(1 / (x \ 1),z). [para(61(a,1),5658(a,1,1,1))]. 5660 K(L(x,y,z) / u,x) = K(u \ L(x,y,z),x). [hyper(18,a,2506,a(flip),b,5494,a)]. 5662 ((x * y) / x) * (y \ z) = K(x,y) * z. [hyper(302,a,5523,a),flip(a)]. 5663 ((x * y) / x) * z = y * (K(x,y) * z). [hyper(228,a,5164,a(flip),b,5523,a(flip))]. 5664 K(x,x \ y) * ((x \ y) * z) = (y / x) * z. [para(14(a,1),5523(a,2,1,1))]. 5665 (K(x,y) * y) * z = K(x,y) * (y * z). [para(4716(a,1),5523(a,2,1)),flip(a)]. 5666 T(x,y * (1 / z)) = T(x,y / z). [hyper(228,a,4705,a,b,5535,a)]. 5667 T(x,y / (1 / z)) = T(x,y * z). [hyper(228,a,4341,a(flip),b,5666,a(flip))]. 5671 K(x,(y \ z) \ 1) != u | K(x,z \ y) = u. [para(5561(a,2),4887(a,1))]. 5672 (x * K(y,x)) \ z != u | K(x,y) * (x \ z) = u. [para(5580(a,1),283(a,1,1)),flip(b)]. 5674 K(x \ (x / y),z) != u | K(y \ 1,z) = u. [para(5585(a,2),4731(a,1))]. 5675 T(x,(y \ z) \ 1) = T(x,z \ y). [hyper(228,a,4666,a,b,5615,a)]. 5676 T(x,(y \ z) \ 1) != u | T(x,z \ y) = u. [para(5615(a,2),4684(a,1))]. 5678 T(x,1 / (y \ z)) = T(x,z \ y). [hyper(228,a,3102,a,b,5675,a(flip)),flip(a)]. 5679 T(x,(y * z) \ y) = T(x,z \ 1). [para(13(a,1),5675(a,1,2,1)),flip(a)]. 5680 T(x,((y * z) \ y) \ 1) = T(x,z). [para(13(a,1),5675(a,2,2))]. 5683 T(x \ y,y \ x) != z | ((x \ y) \ 1) \ 1 = z. [para(5675(a,1),648(a,1))]. 5684 1 / (x * T(y \ z,z \ y)) = (y \ z) \ (1 / x). [para(5675(a,1),630(a,1,2,2))]. 5685 T(x,x \ y) / (y \ x) = x * (y / x). [para(5675(a,1),3622(a,1,1))]. 5686 T(x,y \ (y / z)) = T(x,1 / z). [para(64(a,1),5678(a,1,2,2)),flip(a)]. 5688 T(x,L(y,y \ 1,z)) = T(x,(1 / y) \ 1). [para(2850(a,2),5679(a,1,2))]. 5689 ((x * y) \ x) \ T(((x * y) \ x) * z,y) = ((((x * y) \ x) \ 1) \ z) * (((x * y) \ x) \ 1). [hyper(71,a,5680,a(flip),b,948,a)]. 5691 (1 / ((x * y) \ x)) * T(z,y) = z * (1 / ((x * y) \ x)). [para(5680(a,1),3106(a,1,2))]. 5692 T(x,(x / y) / x) = T(x,1 / y). [hyper(4001,a,5686,a)]. 5693 K(x \ ((x \ y) \ 1),x) = K(y \ 1,x). [para(249(a,1),5653(a,1,1)),flip(a)]. 5694 K((1 / (1 / x)) * y,1 / x) = K(y * x,1 / x). [hyper(228,a,5342,a(flip),b,5656,a)]. 5695 (x / (x / y)) * (y \ z) = K(y \ x,y) * z. [para(3906(a,1),5662(a,1,1))]. 5696 x * (K(y,x) * K(y * x,y)) = T(y * x,y) / y. [hyper(228,a,5267,a(flip),b,5663,a(flip))]. 5697 x * (K(y,x) * K(z,y)) = (y * x) / T(y,z). [hyper(228,a,5205,a(flip),b,5663,a(flip))]. 5698 (x \ y) * (K(x,x \ y) * z) = (y / x) * z. [para(14(a,1),5663(a,1,1,1)),flip(a)]. 5699 (x * (K(y * z,x) * y)) * z = (y * z) * R(x,y,z). [para(5663(a,1),791(a,1,1))]. 5700 (x / (x / y)) * z = y * (K(y \ x,y) * z). [para(3906(a,1),5663(a,1,1))]. 5701 (x * K(y,x)) * z = x * (K(y,x) * z). [para(4673(a,1),5663(a,1,1))]. 5702 R(K(x,y),y,z) = K(x,y). [hyper(4535,a,5665,a)]. 5703 T(x,x \ (y * x)) / ((y * x) \ x) = x * y. [para(15(a,1),5685(a,2,2))]. 5704 T(x,y / x) / (y \ x) = x * (y / x). [para(3944(a,2),5685(a,1,1))]. 5705 T(x,x \ ((x \ y) \ 1)) = 1 / (x \ K(y \ 1,x)). [para(5693(a,1),4806(a,2,2,2))]. 5706 R(x,K(y,x),z) = x. [hyper(4535,a,5701,a)]. 5707 x \ ((x * K(y,x)) * z) != u | K(y,x) * z = u. [para(5701(a,2),284(a,1,2)),flip(b)]. 5708 (T(x,y) * K(z,x)) * u = T(x,y) * (K(z,x) * u). [para(5706(a,1),481(a,1,1,1)),flip(a)]. 5710 K(x / y,z) \ y != u | T(x / y,z) \ x = u. [para(64(a,1),4724(a,1,2))]. 5713 L(x \ 1,T(x,y),y) = L(x \ 1,x,y). [hyper(228,a,3572,a(flip),b,4826,a(flip)),flip(a)]. 5714 T(x * L(x \ 1,x,y),y) = T(x,y) * ((x * y) \ y). [para(5713(a,1),1635(a,1,1,2))]. 5717 K(x,y \ 1) != z | K(x,1 / y) = z. [para(4649(a,2),4933(a,1))]. 5719 x \ R(x,y,x) != z | K(x,y) * K(x * y,x) = z. [para(5303(a,1),4985(a,1,2))]. 5722 T(x,y) * (T(x,z) \ u) != w | K(x,y) * (K(z,x) * u) = w. [para(4997(a,1),5031(a,1,2))]. 5723 K(x,y) * z != u | T(x,y) * (x \ z) = u. [para(14(a,1),5095(a,1,2))]. 5724 K(x,y) * (z * x) != u | T(x,y) * T(z,x) = u. [para(113(a,1),5095(a,1,2))]. 5726 T(x \ y,z) * ((y \ x) * K(z,x \ y)) != u | (x \ y) * (y \ x) = u. [para(2080(a,1),5160(a,1,2))]. 5727 T(x,y) * z != u | x * (K(x,y) * z) = u. [para(5042(a,1),5160(a,1,2))]. 5728 (x * (y \ 1)) * K(z,u) != w | (y / x) \ K(z,u) = w. [para(120(a,1),5195(a,1,1))]. 5732 ((x * y) * z) * K(y * z,u) != w | R(x,y,z) * T(y * z,u) = w. [para(109(a,1),5201(a,1,1))]. 5733 (x * y) * K(y * x,z) != u | K(x,y) * T(y * x,z) = u. [para(4671(a,1),5201(a,1,1))]. 5734 ((x * y) / x) * K(y,z) != u | K(x,y) * T(y,z) = u. [para(4716(a,2),5201(a,1,1))]. 5736 (x / T(y,z)) * T(y,u) != w | (x * K(z,y)) * K(y,u) = w. [para(5264(a,1),5248(a,1,1))]. 5738 x * K(y,T(z,x)) != u | (z * x) / T(T(z,x),y) = u. [para(137(a,1),5280(a,1,1))]. 5739 x * (K(y,x) * K(z,y)) != u | (y * x) / T(y,z) = u. [para(5663(a,1),5280(a,1))]. 5740 K(x * y,x) * K(x,y) = x \ R(x,y,x). [hyper(228,a,5163,a(flip),b,5304,a(flip)),flip(a)]. 5741 K(x,y) * K(y,y * x) = y \ L(y,x,y). [hyper(1759,a,5321,a)]. 5742 x \ R(x,y,x) != z | K(x * y,x) * K(x,y) = z. [para(5325(a,1),1759(a,1))]. 5743 K(x,y) * K(y * x,x) = x \ R(x,y,x). [para(5647(a,2),5325(a,1,2))]. 5752 K(x,(y * z) \ y) != u | K(x,z \ 1) = u. [para(5571(a,1),3865(a,1)),flip(b)]. 5754 K(x,y * (z \ 1)) != u | K(x,y / z) = u. [para(120(a,1),5579(a,1,2))]. 5756 K(((x * y) \ x) \ 1,z) != u | K(y,z) = u. [para(5622(a,1),3865(a,1)),flip(b)]. 5758 K((x \ y) / y,z) != u | K(x \ 1,z) = u. [para(14(a,1),5640(a,1,1,2))]. 5759 R(K(x / y,z),x / y,u) != w | K((y / x) \ 1,z) = w. [para(3854(a,2),5641(a,1))]. 5760 K(L(x,x \ 1,y),z) = K(x,z). [para(61(a,1),5659(a,2,1))]. 5761 K(x,L(y,y \ 1,z)) = 1 / K(y,x). [para(5760(a,1),4894(a,1,2)),flip(a)]. 5762 K(x,L(y,y \ 1,z)) = K(x,y). [hyper(228,a,4894,a(flip),b,5761,a)]. 5763 K(x,L(1 / y,y,z)) = K(x,1 / y). [para(64(a,1),5762(a,1,2,2))]. 5764 K(x,L(y \ z,y,u) \ 1) != w | K(x,(u * z) \ (u * y)) = w. [para(102(a,2),5671(a,1,2,1))]. 5766 K(x,1 / (y \ z)) != u | K(x,z \ y) = u. [para(3240(a,2),5671(a,1))]. 5767 K(x,(K(y,z) * u) \ 1) != w | K(x,u \ K(z,y)) = w. [para(5035(a,1),5671(a,1,2,1))]. 5768 T(x,T(y,z) \ 1) != u | T(x,(y * z) \ z) = u. [para(32(a,2),5676(a,1,2,1))]. 5769 T(x,L(y,y \ 1,z)) = T(x,y). [para(64(a,1),5688(a,2,2))]. 5770 R(x,y,z) * K(x,u) != w | T(x,u) * (x \ R(x,y,z)) = w. [para(3160(a,2),5723(a,1))]. 5775 x \ R(x,x \ y,x) = K(y,x) * K(x,x \ y). [para(14(a,1),5740(a,1,1,1)),flip(a)]. 5776 K(x * y,y) * K(y,x) = y \ R(y,x,y). [para(5647(a,2),5740(a,1,1))]. 5777 K(x,y) * K(y,x * y) = y \ L(y,x,y). [para(5433(a,2),5741(a,1,2))]. 5778 K(x,y * K(x,z)) * K(y * T(x,z),x) = x \ R(x,y * K(x,z),x). [para(5177(a,1),5743(a,1,2,1))]. 5779 K(x,L(y,z \ 1,z) \ z) != u | K(x,((z \ 1) * y) \ 1) = u. [para(190(a,1),5752(a,1,2,1))]. 5782 K((x \ y) \ 1,z) != u | K(y \ x,z) = u. [para(14(a,1),5756(a,1,1,1,1))]. 5784 K(x \ (x * y),z) != u | K(y,z) = u. [para(5601(a,1),5756(a,1))]. 5787 K(x,(1 / y) * z) != u | K(x,y \ z) = u. [para(326(a,1),5766(a,1,2))]. 5788 K(T(x,y) \ 1,z) != u | K((x * y) \ y,z) = u. [para(32(a,2),5782(a,1,1,1))]. 5789 K(1 / (x \ y),z) != u | K(y \ x,z) = u. [para(2853(a,2),5782(a,1))]. 5790 T(K(x / y,z),x) != u | K(y \ x,z) = u. [para(5611(a,2),5782(a,1))]. 5792 K(x,(y \ 1) * z) != u | K(x,y \ z) = u. [para(5384(a,1),5787(a,1))]. 5793 K((1 / x) * y,z) != u | K(x \ y,z) = u. [para(326(a,1),5789(a,1,1))]. 5794 K(x / y,y / x) != z | K(y \ x,x \ y) = z. [para(3301(a,1),5789(a,1))]. 5796 K(x / y,x) != z | K(y \ x,x) = z. [para(2498(a,1),5790(a,1))]. 5799 K(x,((y \ 1) \ 1) \ z) != u | K(x,y \ z) = u. [para(5548(a,2),5792(a,1))]. 5800 K(x * y,z) != u | K((x \ 1) \ y,z) = u. [para(61(a,1),5793(a,1,1,1))]. 5801 K((x \ 1) * y,z) != u | K(x \ y,z) = u. [para(5349(a,1),5793(a,1))]. 5803 K((1 / x) \ y,z) != u | K((x \ 1) \ y,z) = u. [para(5634(a,2),5800(a,1))]. 5805 ((x / y) * (y * K(y \ x,y))) * (x / y) = x * (y \ x). [para(4631(a,2),4021(a,1,1))]. 5806 T(T(x * K(x \ y,x),y),z) = L(T(x,z),x \ T(y,x),x). [para(4633(a,1),4255(a,1,1,1))]. 5807 K(x,T(y,z) \ 1) = T(K(x,y \ 1),z). [para(4649(a,2),4698(a,1,1)),flip(a)]. 5810 K(x,T(1 / y,z) \ 1) = T(K(x,y),z). [para(64(a,1),5807(a,2,1,2))]. 5811 x * K(y,T(z,x) \ 1) = K(y,z \ 1) * x. [para(5807(a,2),113(a,1,2))]. 5812 K(x,T(y \ 1,z) \ 1) = T(K(x,y),z). [para(3236(a,1),5807(a,2,1))]. 5814 x * T(K(x,y \ 1),z) != u | T(x,T(y,z) \ 1) = u. [para(5807(a,1),4708(a,1,2))]. 5815 K(x,1 / T(1 / y,z)) = T(K(x,y),z). [hyper(5717,a,5810,a)]. 5816 K(x,1 / T(y,z)) = T(K(x,1 / y),z). [para(2320(a,1),5810(a,1,2))]. 5817 K(x,R(T(K(x,y),z),u,w)) = 1. [para(5810(a,1),3174(a,1,2,1))]. 5818 K(x,y * K(z,y \ 1)) = T(K(x,y),z). [para(5144(a,1),5810(a,1,2))]. 5819 L(x,y,z) * K(u,L(x,y,z)) = L(x * K(u,x),y,z). [hyper(18,a,4715,a,b,4748,a),flip(a)]. 5820 L(L(x,y,z) * K(u,L(x,y,z)),w,v5) * u = u * L(L(x,w,v5),y,z). [para(45(a,1),4748(a,2,2))]. 5822 R(x,y,z) * K(u,R(x,y,z)) = R(x * K(u,x),y,z). [hyper(18,a,4715,a,b,4749,a),flip(a)]. 5824 T(1 / (K(x,y) / x),y) = 1 / (1 / x). [para(4898(a,1),4751(a,1,1,2))]. 5825 (1 / (K(x,y) / x)) * y = y * (1 / (1 / x)). [para(5824(a,1),113(a,1,2)),flip(a)]. 5826 T(x,y * (1 / z)) != u | T(x,y * (z \ 1)) = u. [para(4764(a,1),4708(a,1))]. 5827 (x \ 1) * (x * K(y,x)) = (T(x,y) \ 1) * x. [hyper(228,a,3032,a(flip),b,4809,a(flip)),flip(a)]. 5828 ((x \ (1 / y)) * x) * y = K(y \ (x \ 1),x). [para(118(a,1),4823(a,2,1))]. 5829 L(x * K(y,x),z,u) / L(x,z,u) = K(y,L(x,z,u)). [hyper(72,a,4837,a,b,4716,a(flip))]. 5830 L(x * K(y,x),z,u) \ L(x,z,u) = K(L(x,z,u),y). [para(4837(a,2),4644(a,2,1)),flip(a)]. 5831 L(x,y,z) / L(x * K(u,x),y,z) = K(L(x,y,z),u). [para(4837(a,2),4810(a,2,2)),flip(a)]. 5832 R(x,y,z) \ R(x * K(u,x),y,z) = K(u,R(x,y,z)). [hyper(71,a,4838,a,b,4673,a(flip))]. 5833 R(x * K(y,x),z,u) \ y = R(x,z,u) \ ((R(x,z,u) * y) / R(x,z,u)). [para(4838(a,2),3908(a,1,1))]. 5834 R(x * K(y,x),z,u) \ R(x,z,u) = K(R(x,z,u),y). [para(4838(a,2),4644(a,2,1)),flip(a)]. 5837 x \ (((y \ (x / z)) * y) * z) = K((x \ (y * z)) \ 1,y). [para(1049(a,1),4952(a,1,2))]. 5838 x \ (y * (z * T(z \ (y \ x),u))) = K((x \ (y * z)) \ 1,u). [para(852(a,1),4952(a,1,2))]. 5839 x \ (((y \ (x * z)) * y) / z) = K((x \ (y / z)) \ 1,y). [para(1468(a,1),4952(a,1,2))]. 5840 T(x,y) \ T(z * T(z \ x,u),y) = K((T(x,y) \ T(z,y)) \ 1,u). [para(2028(a,1),4952(a,1,2))]. 5841 x \ T(x * y,z) = y * K((y \ (x \ 1)) \ 1,z). [hyper(950,a,4954,a)]. 5842 x * K((x \ (y * z)) \ 1,u) = y * (z * T(z \ (y \ x),u)). [hyper(872,a,4954,a),flip(a)]. 5843 (x * y) * K(((x * y) \ y) \ 1,z) = T(x,z) * y. [hyper(695,a,4954,a),flip(a)]. 5844 ((x \ (y / z)) * x) * z = y * K((y \ (x * z)) \ 1,x). [hyper(228,a,1049,a(flip),b,4954,a(flip)),flip(a)]. 5845 (x * K((x \ y) \ 1,z)) / y = T(x / y,z). [hyper(72,a,4954,a(flip),b,409,a)]. 5846 T(x,y) * T(T(x,y) \ y,z) = y * K((T(y,x) \ x) \ 1,z). [para(3939(a,2),4954(a,2,2,1,1))]. 5847 T(x * y,z) / y = K(((1 / y) / x) \ 1,z) * x. [hyper(228,a,929,a(flip),b,4956,a),flip(a)]. 5848 K(((x \ 1) / (x \ y)) \ 1,z) * (x \ y) = x \ T(y,z). [hyper(228,a,921,a(flip),b,4956,a)]. 5850 K(((x \ 1) / (x \ y)) \ 1,z) \ (x \ T(y,z)) = x \ y. [hyper(71,a,921,a(flip),b,4956,a)]. 5851 K((x / (x * y)) \ 1,z) * (x * y) = x * T(y,z). [para(13(a,1),4956(a,2,2,1))]. 5852 K(T(x,y) \ 1,z) = T(K(x \ 1,z),y). [hyper(5674,a,4968,a)]. 5856 K(T(1 / x,y) \ 1,z) = T(K(x,z),y). [para(64(a,1),5852(a,2,1,1))]. 5857 K(T(x \ 1,y) \ 1,z) = T(K(x,z),y). [para(2857(a,1),5852(a,2,1))]. 5858 K(T(K(x,y) * z,u) \ 1,w) = T(K(z \ K(y,x),w),u). [para(4893(a,1),5852(a,2,1,1))]. 5859 K(1 / T(x,y),z) = T(K(1 / x,z),y). [para(2320(a,1),5856(a,1,1))]. 5860 K(((x \ 1) * y) \ y,z) = T(K(x,z),y). [hyper(228,a,5602,a(flip),b,5857,a(flip)),flip(a)]. 5861 K(x,T(y \ 1,z) \ 1) = 1 / T(K(y,x),z). [para(5857(a,1),4894(a,1,2)),flip(a)]. 5862 x * K(1 / T(y,x),z) = K(1 / y,z) * x. [para(5859(a,2),113(a,1,2))]. 5864 (x \ K(x,y)) * T(x,x \ 1) = K(x,y). [hyper(5208,a,4974,a)]. 5865 T((x \ 1) \ (y \ 1),y) = ((y \ x) \ 1) \ 1. [hyper(228,a,658,a(flip),b,5005,a(flip))]. 5866 T(T(x,y),z) * K(y,x) = x * K(T(x,y),z). [hyper(2512,a,5009,a)]. 5867 x * K(T(x,y),z) != u | T(T(x,y),z) * K(y,x) = u. [para(5009(a,1),2512(a,1))]. 5868 K(1 / ((1 / x) / y),z) = (T(y * x,z) / x) / y. [para(929(a,1),5018(a,1,1)),flip(a)]. 5870 (x * K(y,x)) \ L(x,y,x) = K(x,x * y). [hyper(71,a,5301,a(flip),b,5029,a)]. 5871 (x \ T(y,x \ 1)) / (x \ y) = K(y,x \ 1). [hyper(72,a,3621,a,b,5117,a)]. 5872 (1 / (x * y)) * K(z,z \ 1) = (K(z,z \ 1) / y) / x. [hyper(4545,a,5135,a)]. 5875 K(x \ y,x) * (x \ z) != u | ((x \ y) \ y) \ z = u. [para(5150(a,1),5046(a,1,2)),flip(b)]. 5876 K(T(x,T(y,z)),y) = K(x,y). [hyper(18,a,4782,a,b,5156,a),flip(a)]. 5877 K(x / T(y,z),y) = K(T(y,z) \ x,y). [para(115(a,1),5876(a,1,1)),flip(a)]. 5878 T(x,(x / y) / x) / ((x / y) \ x) = (x / y) * K(x,1 / y). [hyper(228,a,5704,a,b,5172,a),flip(a)]. 5879 ((x * y) \ 1) \ K(y,x) = ((y * x) \ 1) \ 1. [para(93(a,1),5184(a,1,1,1)),flip(a)]. 5880 K(x,((y \ 1) \ K(z,u)) * w) = K(x,(y * K(z,u)) * w). [para(5184(a,1),5381(a,1,2,1))]. 5881 ((K(x,y) * z) * u) \ K(w,v5) = (u \ (z \ K(y,x))) * K(w,v5). [para(4893(a,1),5190(a,1,1,2)),flip(a)]. 5882 (K(x,y) * K(y,z)) * T(y,x) = T(y,z). [hyper(5208,a,5211,a(flip))]. 5883 (x / (y \ z)) * K(y \ z,y) = x / (z / y). [para(4882(a,1),5230(a,1,2))]. 5884 (T((1 / x) * y,z) \ 1) / K(z,(1 / x) * y) = y \ x. [hyper(72,a,4653,a,b,5234,a(flip))]. 5885 T(x * y,K(y,z)) = y * T(x,T(y,z)). [hyper(228,a,5028,a(flip),b,5244,a(flip))]. 5886 T(x * y,K(y,z)) / y = T((y * x) / y,T(y,z)). [hyper(72,a,5885,a,b,410,a)]. 5887 (T(x,y) \ y) * ((x \ y) \ y) = T(y,x). [hyper(18,a,4240,a,b,5270,a)]. 5888 x * K(y \ z,y) != u * y | u * ((y \ z) \ z) = x. [para(5270(a,1),20(a,1)),flip(a)]. 5890 K(x \ (y * ((z \ 1) \ 1)),u) = K(x \ (y * z),u). [para(2894(a,1),5350(a,1,1,2))]. 5892 K(x \ (y * (((y \ z) \ 1) \ 1)),u) = K(x \ z,u). [para(3303(a,1),5350(a,1,1,2))]. 5893 K((((x \ 1) \ 1) \ y) \ z,u) = K((x \ y) \ z,u). [para(3473(a,1),5351(a,1,1))]. 5894 K(x \ R(1 / y,z,u),w) = K(x \ R(y \ 1,z,u),w). [para(3545(a,1),5351(a,1,1,2))]. 5895 K(((1 / x) / y) \ z,u) = K(((x \ 1) / y) \ z,u). [para(3436(a,1),5357(a,1,1,1))]. 5896 K((((1 / x) \ y) \ z) \ u,w) = K((((x \ 1) \ y) \ z) \ u,w). [para(4426(a,1),5357(a,1,1,1))]. 5897 K(x,y \ ((1 / z) * u)) = K(x,y \ ((z \ 1) * u)). [para(3025(a,1),5385(a,1,2,2))]. 5898 K(x,y * (K(z,1 / z) * u)) = K(x,y * u). [para(2351(a,2),5387(a,1,2,2))]. 5899 K(x,(y / (1 / (1 / z))) * u) = K(x,(y / z) * u). [para(4445(a,1),5387(a,1,2))]. 5900 K(x,T((1 / y) * z,u)) = K(x,T((y \ 1) * z,u)). [para(3026(a,1),5389(a,1,2,1))]. 5901 K(x,(y * (1 / z)) \ u) = K(x,(y * (z \ 1)) \ u). [para(2932(a,1),5391(a,1,2,1))]. 5902 K(x,(y * (z / (1 / u))) \ w) = K(x,(y * (z / (u \ 1))) \ w). [para(4441(a,1),5391(a,1,2,1)),flip(a)]. 5903 K(x,y / T(1 / z,u)) = K(x,y / T(z \ 1,u)). [para(3010(a,1),5393(a,1,2,2))]. 5904 T(x,y) \ T(x * K(z,x),y) != u | K(z,T(x,y)) = u. [para(5396(a,1),284(a,1,2)),flip(b)]. 5905 T(T(x * K(y,x),z),y) != u | T(x,z) = u. [para(5396(a,1),5405(a,1,1)),flip(b)]. 5906 T(T(x / y,z),y) != u | T(y \ x,z) = u. [para(4717(a,1),5905(a,1,1,1))]. 5907 T(R(x \ y,x,z),x * z) != u | T((x * z) \ (y * z),x) = u. [para(608(a,1),5906(a,1,1))]. 5909 T(x,y) \ T(z / (z / x),y) = K(x \ z,T(x,y)). [para(4621(a,2),5404(a,1,2,1))]. 5910 T(x,y) \ T(x * K(x * z,x),y) = K(z * x,T(x,y)). [para(5647(a,1),5404(a,1,2,1,2))]. 5911 T(x,y) \ T(z * T(z \ x,x),y) = K((x \ z) \ 1,T(x,y)). [para(4954(a,2),5404(a,1,2,1))]. 5913 T(T(x * K(y,x),z),u) \ T(T(x,z),u) = K(T(T(x,z),u),y). [para(5396(a,1),5406(a,1,1,1))]. 5914 K(x,(1 / y) \ (z / (1 / u))) = K(x,y * ((z \ 1) \ u)). [para(325(a,1),5425(a,1,2))]. 5915 K(x,x \ y) * ((y / x) \ z) = (x \ y) \ z. [hyper(5071,a,5446,a)]. 5917 K(x \ y,x) * T(z,x \ y) = (y / x) \ (z * (x \ y)). [para(32(a,2),5446(a,1,2))]. 5918 (x \ T(y,x)) \ K(y,x) = (x \ y) \ 1. [para(1087(a,1),5450(a,1,1)),flip(a)]. 5919 K(x,y) = (y \ T(x,y)) * ((y \ x) \ 1). [para(5918(a,1),14(a,1,2)),flip(a)]. 5920 (x \ T(x * y,x)) * (y \ 1) = K(x * y,x). [para(13(a,1),5919(a,2,2,1)),flip(a)]. 5921 K(x,y) * (T(x,z) * T(y,x)) = T(x,z) * y. [hyper(5071,a,5452,a)]. 5922 (x \ (x / (y \ 1))) * z != x / (y \ 1) | T(x,y) = z. [para(5463(a,1),19(a,1)),flip(a)]. 5923 T(x,y) / (z \ x) = z * K(((z \ x) \ 1) \ z,y). [hyper(4508,a,5492,a)]. 5924 T(x * K((y \ 1) \ x,z),y) = y \ T(x * y,z). [para(5492(a,1),4472(a,1,1))]. 5926 K(x,x \ y) \ ((y / x) * z) = (x \ y) * z. [hyper(5058,a,5524,a)]. 5931 K(x \ 1,(1 / x) \ y) = K(x \ 1,y * x). [hyper(228,a,5383,a,b,5537,a(flip)),flip(a)]. 5932 K(x \ 1,y * x) = K(x \ 1,x * y). [hyper(228,a,5548,a(flip),b,5537,a(flip))]. 5933 x * T(x \ 1,y * x) = K(x \ 1,x * y). [hyper(4678,a,5932,a)]. 5934 K(x,(y * z) \ 1) = K(x,z \ (y \ 1)). [para(12(a,1),5545(a,1,2)),flip(a)]. 5935 K(x,((K(y,z) * u) * w) \ v5) = K(x,(w \ (u \ K(z,y))) * v5). [para(4893(a,1),5545(a,1,2,1,2)),flip(a)]. 5936 K(x,(T(y,z) * (y \ u)) \ 1) = K(x,u \ K(z,y)). [para(4676(a,2),5570(a,1,2,1))]. 5937 K(x,(y \ z) \ K(u,y)) = K(x,z \ (y * K(u,y))). [para(5581(a,1),5558(a,1,2))]. 5938 ((x \ 1) \ (x \ y)) / (x \ y) = (y / x) \ ((x \ 1) \ (x \ y)). [para(5023(a,1),5620(a,1,1)),flip(a)]. 5939 (x * (y \ 1)) * (y / x) = K(y \ x,x \ y). [hyper(228,a,3300,a(flip),b,5643,a)]. 5940 K((((x * y) \ x) \ 1) \ z,((x * y) \ x) \ 1) = K(z * ((x * y) \ x),y). [hyper(228,a,5563,a(flip),b,5654,a)]. 5941 K(x * y,y \ 1) = K(y * x,y \ 1). [hyper(228,a,5637,a(flip),b,5654,a(flip))]. 5942 K(x,y * K(y * z,y \ 1)) = T(K(x,y),z * y). [para(5941(a,1),5818(a,1,2,2))]. 5945 K(x,x \ y) \ ((y / x) * z) != u | (x \ y) * z = u. [para(5664(a,1),284(a,1,2)),flip(b)]. 5948 (x / (x / y)) \ (K(y \ x,y) * z) = y \ z. [hyper(77,a,5695,a)]. 5951 (x \ y) \ ((y / x) * z) != u | K(x,x \ y) * z = u. [para(5698(a,1),284(a,1,2)),flip(b)]. 5952 (x \ y) * (T(x,x \ y) * z) = (y / x) * (x * z). [para(4720(a,1),5698(a,1,2))]. 5954 K(x \ y,x) * ((y / (y / x)) \ z) = x \ z. [hyper(374,a,5700,a),flip(a)]. 5955 K(x \ y,x) * K(z,y / x) = x \ (y / T(y / x,z)). [hyper(71,a,5205,a(flip),b,5700,a(flip)),flip(a)]. 5957 T(x,T(y,x)) / ((y * x) \ x) = x * y. [para(32(a,2),5703(a,1,1,2))]. 5958 T(x,y) / ((y * x) \ x) = x * y. [para(3921(a,1),5957(a,1,1))]. 5959 T(x,y) = (x * y) * ((y * x) \ x). [para(5958(a,1),16(a,1,1)),flip(a)]. 5960 (x * y) \ T(x,y) = (y * x) \ x. [para(5958(a,1),64(a,1,1))]. 5962 ((x \ y) * x) \ x = y \ T(x,x \ y). [hyper(71,a,5959,a,b,88,a(flip)),flip(a)]. 5963 a(1 / (x * y),x,y) \ T((1 / (x * y)) * x,y) = (y * ((1 / (x * y)) * x)) \ ((1 / (x * y)) * x). [para(191(a,1),5960(a,1,1))]. 5964 K(x,(y / z) \ 1) * z = z * K(x,(z \ y) \ 1). [para(115(a,1),5811(a,1,2,2,1)),flip(a)]. 5965 (x \ 1) * ((y * x) / y) = (T(x,y) \ 1) * x. [hyper(228,a,4828,a,b,5827,a(flip)),flip(a)]. 5966 1 / T(K(x,y),z) = T(K(y,x),z). [hyper(228,a,5812,a(flip),b,5861,a(flip))]. 5967 T(K(x,y),z) \ 1 = T(K(y,x),z). [para(5966(a,1),64(a,1,1))]. 5968 T(K(x,y),z) * K(y,x) = K(z,K(y,x)). [para(5966(a,1),4646(a,2,1)),flip(a)]. 5969 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(5967(a,1),194(a,1,2)),flip(a)]. 5970 K(x,y) * T(K(y,x),z) = K(z,K(x,y)). [para(5967(a,1),4647(a,2,2)),flip(a)]. 5971 K(x,K(y,z)) * K(z,y) = T(K(z,y),x). [hyper(5064,a,5968,a)]. 5972 K(K(x,y),z) = K(z,K(y,x)). [hyper(228,a,4907,a(flip),b,5968,a(flip)),flip(a)]. 5973 K(x,K(y,z)) \ 1 = K(x,K(z,y)). [hyper(5057,a,5972,a)]. 5974 K(x,y) * K(z,K(y,x)) = T(K(x,y),z). [para(5972(a,1),4705(a,2,2)),flip(a)]. 5975 x * K(K(y,z),x) = T(x,K(z,y)). [para(5972(a,2),4705(a,2,2)),flip(a)]. 5976 K(x,K(y,z)) \ 1 != u | K(x,K(z,y)) = u. [para(5972(a,1),4887(a,1,1))]. 5977 K(x,K(y,z)) * (K(z,y) * u) = T(K(z,y),x) * u. [para(5972(a,1),4720(a,1,1))]. 5978 K(x,K(y,z)) != u | K(K(z,y),x) = u. [para(5973(a,1),4887(a,1))]. 5979 T(K(x,y) \ z,K(y,x)) = z / K(x,y). [hyper(5123,a,5975,a),flip(a)]. 5980 T(T(x,K(y,z)),K(z,y)) = x. [hyper(4831,a,5975,a)]. 5981 T(x,K(y,z)) * K(z,y) = K(z,y) * x. [para(5975(a,1),4715(a,1,1))]. 5982 T(T(x,K(y,z)),K(z,y)) != u | u = x. [para(5975(a,1),4831(a,1))]. 5983 T(T(x,K(y,z)),K(z,y) * x) = L(x,K(z,y),x). [para(5975(a,1),4848(a,1,1))]. 5984 K(x,y) * z != u * K(x,y) | T(z,K(y,x)) = u. [para(5980(a,1),174(a,1,2)),flip(b)]. 5985 T(K(x,y),K(z,y)) = K(x,y). [para(1754(a,1),5980(a,1,1))]. 5986 T(K(x,y),K(x,z)) = K(x,y). [para(1756(a,1),5980(a,1,1))]. 5987 T(K(x,y) * z,K(x,y)) = z * K(x,y). [para(5079(a,1),5980(a,1,1))]. 5988 T(K(x,y) \ z,K(y,x)) = z * K(y,x). [para(5080(a,1),5980(a,1,1))]. 5989 K(x,y) \ K(z,x) = K(z,x) * K(y,x). [hyper(71,a,5985,a(flip),b,5041,a)]. 5990 K(x,y) * K(x,z) = K(x,z) * K(x,y). [para(5986(a,1),113(a,1,2))]. 5991 K(x,y) * K(x,z) != u | K(x,z) * K(x,y) = u. [para(5986(a,1),219(a,1,2))]. 5993 T(x,K(y \ 1,y)) != z | z = x. [para(2339(a,1),5982(a,1,1))]. 5994 T(K(x,y) * z,K(x,y)) != u | z * K(x,y) = u. [para(5079(a,1),5982(a,1,1)),flip(b)]. 5997 T(x,1) != y | y = x. [para(145(a,1),5993(a,1,2))]. 5999 T(x,y \ y) != z | z = x. [para(52(a,2),5997(a,1,2))]. 6000 (x / y) * T(K(y \ x,y),z) = (y \ x) * K(z,K(y,y \ x)). [para(5970(a,1),5698(a,1,2)),flip(a)]. 6001 T(K(x,y),z) * K(y,x) != u | K(z,K(y,x)) = u. [para(5971(a,1),5065(a,1,1)),flip(b)]. 6002 (K(x,y) * z) * K(y,x) = T(z,K(y,x)). [hyper(5064,a,5981,a)]. 6003 (K(x,y) \ z) * K(x,y) = T(z,K(x,y)). [para(14(a,1),5987(a,1,1)),flip(a)]. 6004 (T(x,y) \ z) * K(x,y) = T(x \ z,K(x,y)). [para(4977(a,1),5987(a,1,1)),flip(a)]. 6005 (K(x,y) * K(x,z)) \ 1 = K(y,x) * K(z,x). [hyper(4900,a,5989,a)]. 6006 x * (T(x,y) \ K(z,x)) = K(z,x) * K(y,x). [hyper(4725,a,5989,a)]. 6007 T(x,y) * (x \ K(x,z)) = K(x,z) * K(x,y). [hyper(5723,a,5990,a)]. 6008 x / T(K(y,z),x) = K(y,z) \ x. [hyper(18,a,3922,a,b,6003,a),flip(a)]. 6009 (K(x,y) \ z) \ z = T(K(x,y),z). [para(6008(a,1),64(a,1,1))]. 6010 (K(x,y) * z) \ z = T(K(y,x),z). [para(5035(a,1),6009(a,1,1))]. 6011 (K(x,y) * z) * T(K(y,x),z) = z. [para(6010(a,1),14(a,1,2))]. 6012 K(K(x,y),z) != u | K(z,K(y,x)) = u. [para(4879(a,1),5976(a,1))]. 6013 ((x \ 1) \ (y \ 1)) * y = y * (((y \ x) \ 1) \ 1). [para(5865(a,1),113(a,1,2)),flip(a)]. 6014 ((x / y) \ T(x * K(y,z),(x / y) \ 1)) / T(y,z) = K(x * K(y,z),(x / y) \ 1). [para(5227(a,1),5871(a,1,2))]. 6015 (x / (y / z)) * K(z,z \ y) = x / (z \ y). [hyper(5064,a,5883,a)]. 6016 (x * (y \ z)) / (z / y) = x * K(y \ z,y). [para(15(a,1),5883(a,1,1)),flip(a)]. 6018 K(x,y * (((1 / (1 / z)) \ u) * w)) = K(x,y * ((z \ u) * w)). [para(3479(a,1),5898(a,1,2,2))]. 6019 K(x \ y,x) * ((x \ y) \ z) != u | (y / x) \ z = u. [para(5915(a,1),5046(a,1,2)),flip(b)]. 6020 (x \ T(x * K(y,z),x)) * (K(z,y) * 1) = K(x * K(y,z),x). [para(5035(a,1),5920(a,1,2))]. 6021 K(x,y) * (K(x,z) * (y * x)) = T(x,z) * y. [para(4979(a,2),5921(a,1,2))]. 6022 K(1 / x,(1 / x) \ y) = K(x \ 1,y * x). [hyper(5298,a,5931,a)]. 6023 T(x \ 1,y * x) = T(x \ 1,x * y). [hyper(17,a,4650,a,b,5933,a)]. 6024 T(x \ 1,y * x) = ((x \ 1) \ y) \ y. [hyper(228,a,4019,a(flip),b,6023,a)]. 6025 T(x \ 1,y * x) * L(T(x \ 1,x * y) \ 1,z,u) = T((x \ 1) * L((x \ 1) \ 1,z,u),y * x). [para(6023(a,1),2041(a,1,2,1,1))]. 6026 T(x \ 1,y * x) * L(T(x \ 1,x * y) \ 1,z,u) = T((x \ 1) * L((x \ 1) \ 1,z,u),x * y). [para(6023(a,2),2041(a,1,1))]. 6027 T((x \ y) \ 1,y) = (((x \ y) \ 1) \ x) \ x. [para(14(a,1),6024(a,1,2))]. 6028 (1 / x) / (y \ K(x,x \ 1)) = x \ y. [hyper(228,a,4901,a(flip),b,5948,a(flip)),flip(a)]. 6029 (x \ y) \ (1 / x) = y \ K(x,x \ 1). [para(6028(a,1),64(a,1,1))]. 6030 x \ K(x / y,(x / y) \ 1) = y \ (1 / (x / y)). [para(64(a,1),6029(a,1,1)),flip(a)]. 6031 ((x * y) \ z) \ (1 / (x * y)) = z \ K(x * y,y \ (x \ 1)). [para(118(a,1),6029(a,2,2,2))]. 6032 x \ K((1 / x) \ y,((1 / x) \ y) \ 1) = (y \ 1) \ (1 / ((1 / x) \ y)). [para(282(a,1),6029(a,1,1)),flip(a)]. 6033 L(x,y,((z \ 1) \ 1) * (T(z,u) \ K(w,z))) = L(x,y,K(w,z) * K(u,z)). [para(6006(a,1),3697(a,2,3))]. 6034 (x / (y / z)) * (z \ y) = x * K(z \ y,z). [hyper(228,a,1354,a(flip),b,6016,a(flip)),flip(a)]. 6037 (1 / x) * (y / (1 / x)) = y * K(x \ 1,y * x). [para(6022(a,1),4915(a,1,2)),flip(a)]. 6038 K(x,x \ y) / (y / x) = 1 / (x \ y). [hyper(72,a,4886,a(flip),b,6034,a),flip(a)]. 6039 (x * (y / z)) * K(z \ y,z) = x * (z \ y). [para(15(a,1),6034(a,1,1)),flip(a)]. 6040 (x * (y \ z)) * K(y,y \ z) = x * (z / y). [hyper(5064,a,6039,a)]. 6042 (x / (y \ z)) * (z / y) = x * K(y,y \ z). [hyper(18,a,5066,a(flip),b,6039,a)]. 6043 (x * (y \ z)) * T(y,y \ z) = (x * (z / y)) * y. [para(6039(a,1),5203(a,1,1))]. 6047 K(x \ R(x,y,z),R(x,u,w)) = R(x,u,w) \ R(x,u,w). [para(3521(a,1),4657(a,1,1,1)),flip(a)]. 6048 L(x,K(x,y),z) = x. [hyper(5220,a,4778,a)]. 6050 L(T(x,y),K(x,z),u) = T(x,y). [para(6048(a,1),40(a,2,1))]. 6051 (x * K(y,z)) * L(y,u,w) = x * (K(y,z) * L(y,u,w)). [para(6048(a,1),452(a,1,2,1))]. 6053 L(L(T(x,y),z,u),K(x,w),v5) = L(T(x,y),z,u). [para(6050(a,1),45(a,1,1)),flip(a)]. 6054 (x * K(y,z)) * L(T(y,u),w,v5) != v6 | x * (K(y,z) * L(T(y,u),w,v5)) = v6. [para(6050(a,1),756(a,1,2,1))]. 6056 (x \ T(x * y,x)) \ (y * K(z,K(x * y,x))) = L(T(K(x * y,x),z) \ 1,K(x * y,x),y). [para(5292(a,2),4801(a,1,1))]. 6057 ((x * K(y,x)) \ ((y * (x * y)) / y)) \ ((y * (x * y)) / y) = x. [para(4845(a,2),4055(a,1,1))]. 6058 K(x,R(y,x,x \ 1)) = K(x,x \ (x * y)). [hyper(5423,a,4877,a),flip(a)]. 6059 K(x,R(y,x,x \ 1)) = K(x,y). [para(13(a,1),6058(a,2,2))]. 6060 K(x,y) = x \ T(x,R(y,x,x \ 1)). [hyper(4857,a,6059,a),flip(a)]. 6061 K(x,y) = R(y,x,x \ 1) \ ((x * y) * (x \ 1)). [hyper(228,a,3566,a,b,6060,a)]. 6062 (x * (y * T(y \ z,u))) / (x * z) != w | K((x * z) / (x * y),u) = w. [para(851(a,1),4934(a,1,1))]. 6063 K((x / y) \ 1,z) != u | K(y / x,z) = u. [para(4951(a,1),4934(a,1))]. 6067 x \ (y * K(x,z)) != u | T((y / x) * K(x,z),x) = u. [para(5216(a,1),5223(a,1,2))]. 6070 T(x,T(1 / y,z) \ x) * K(T(y \ 1,z) \ 1,x) = L(x,T(1 / y,z) \ 1,x). [para(2859(a,1),5322(a,1,2))]. 6071 T(x,(y \ z) \ x) * K(z \ y,x) = L(x,(y \ z) \ 1,x). [para(5601(a,1),5322(a,1,2))]. 6072 T(T(x * K(x * y,x),z),y) = R(T(x,z),y,x). [hyper(228,a,42,a,b,5400,a)]. 6073 K(x,K(y,z * (u \ 1))) = K(x,K(y,z / u)). [para(5420(a,1),5762(a,1,2))]. 6074 T(x,K(y,z * (u \ 1))) = T(x,K(y,z / u)). [para(5420(a,1),5769(a,1,2))]. 6075 K(x,K(y,z / (u \ 1))) = K(x,K(y,z * u)). [para(5376(a,1),6073(a,1,2)),flip(a)]. 6076 K(x,K(y,z * (1 / u))) = K(x,K(y,z / u)). [para(5379(a,2),6073(a,1,2))]. 6078 K(x,L(y,x,x \ 1)) * (y * x) = x * ((y * x) / x). [para(5438(a,1),5557(a,1,1))]. 6079 x \ (y \ ((z \ (y * x)) * z)) != u | K((y \ z) \ x,z) = u. [para(893(a,1),5498(a,1,2))]. 6082 R(x,T(y,z),T(z,y)) != u | R(x,y,z) = u. [para(5519(a,1),489(a,1))]. 6084 K((x / y) \ 1,x / y) != z | K(x \ y,y \ x) = z. [para(2956(a,2),5794(a,1))]. 6087 K(x,R(y \ 1,z,u) \ w) != v5 | K(x,R(1 / y,z,u) \ w) = v5. [para(3369(a,1),5799(a,1,2,1))]. 6091 T(x,K(y,z)) != u | (K(z,y) * x) * K(y,z) = u. [para(5042(a,1),5994(a,1,1))]. 6092 R(x,y,y \ 1) * K(y,x) = (y * x) * (y \ 1). [para(6061(a,2),14(a,1,2))]. 6093 K(x,y) * ((y * x) * (y \ 1)) = R(x,y,y \ 1). [para(6092(a,1),5074(a,1,2))]. 6094 x \ (y \ (1 / (y \ (1 / x)))) = K(x \ (y \ 1),x). [para(304(a,1),4622(a,1,2,2,2))]. 6095 x \ K(x * y,x \ 1) = y / (y / (x \ 1)). [para(4121(a,1),4626(a,1,2))]. 6096 (x \ K(x * y,x \ 1)) \ y = y / (x \ 1). [para(6095(a,2),64(a,1,1))]. 6097 L(K(x,y \ 1),z,u) = K(x,L(y,z,u) \ 1). [para(4649(a,2),4688(a,1,1))]. 6099 K(x,L(x,y,z) \ 1) = K(x,x \ 1). [hyper(228,a,4387,a(flip),b,6097,a(flip))]. 6100 K(x,L(1 / y,z,u) \ 1) = L(K(x,y),z,u). [para(64(a,1),6097(a,1,1,2)),flip(a)]. 6101 K(x,L(y \ 1,z,u) \ 1) = L(K(x,y),z,u). [para(3236(a,1),6097(a,1,1)),flip(a)]. 6102 K(x,L(K(y,z),u,w) \ 1) = L(K(x,K(z,y)),u,w). [para(4879(a,1),6097(a,1,1,2)),flip(a)]. 6103 K(x,L(y \ z,u,w) \ 1) = L(K(x,z \ y),u,w). [para(5558(a,1),6097(a,1,1)),flip(a)]. 6104 L(K(x,1 / y),z,u) = K(x,1 / L(y,z,u)). [para(2770(a,1),6100(a,1,2)),flip(a)]. 6105 (x * K(L(y \ 1,z,u) \ 1,w)) \ x = L(K(w,y),z,u). [hyper(228,a,5037,a,b,6101,a(flip)),flip(a)]. 6106 K(L(x \ 1,y,z) \ 1,u) * w = L(K(u,x),y,z) \ w. [para(6101(a,1),5035(a,1,1)),flip(a)]. 6107 K(x,L(L(y \ 1,z,u),w,v5) \ 1) = L(L(K(x,y),z,u),w,v5). [para(6101(a,1),6097(a,1,1)),flip(a)]. 6110 (K(x,y) / R(x,z,u)) * x = R(x,z,u) \ T(x,y). [hyper(228,a,4482,a(flip),b,4780,a)]. 6111 ((x * y) \ T(y * x,z)) * (x * y) = T(y * x,z). [para(4821(a,1),16(a,1,1))]. 6112 T(x,y) \ ((z * x) / z) = K(z,x) * K(y,x). [hyper(228,a,6006,a(flip),b,4827,a)]. 6113 ((x * y) / x) \ (T(y,z) * ((K(x,y) * K(z,y)) * u)) = L(u,T(y,z) \ ((x * y) / x),T(y,z)). [para(6112(a,1),101(a,1,2,2,1))]. 6114 T((x / (y * K(z,y))) * y,(z * y) / z) != u | ((z * y) / z) \ (x * y) = u. [para(4843(a,1),647(a,1,1))]. 6115 (x * y) / (y * K(z,y)) = (x / (y * K(z,y))) * y. [para(4673(a,1),4843(a,1,2))]. 6117 R(K(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). [para(4650(a,1),4949(a,1,1))]. 6118 K(R(1 / x,y,z) \ 1,u) = R(K(x,u),y,z). [para(4695(a,2),4949(a,1,1)),flip(a)]. 6119 K(R(x,y,z) \ 1,y) = K(x \ 1,y). [hyper(228,a,5702,a(flip),b,6117,a(flip))]. 6120 K(R(x,y,z) \ 1,u) * (y * z) = (K(x \ 1,u) * y) * z. [para(6117(a,1),109(a,1,1))]. 6121 R(K((x / y) \ 1,z),y,u) = K(((x * u) / (y * u)) \ 1,z). [para(110(a,1),6117(a,2,1,1))]. 6122 K(R(x \ 1,y,z) \ 1,u) = R(K(x,u),y,z). [para(2857(a,1),6117(a,1,1)),flip(a)]. 6123 K(((x * (y * z)) / z) \ 1,z / (y * z)) = K((x / R(1 / y,y,z)) \ 1,z / (y * z)). [para(719(a,1),6119(a,1,1,1))]. 6124 K(R(R(1 / x,y,z),u,w) \ 1,v5) = R(R(K(x,v5),y,z),u,w). [para(6118(a,1),6117(a,1,1)),flip(a)]. 6125 K(x,R(y \ 1,z,u) \ 1) * w = R(K(y,x),z,u) \ w. [para(6122(a,1),5035(a,1,1)),flip(a)]. 6126 L(K(x \ 1,y),z,u) = K(L(x,z,u) \ 1,y). [para(4650(a,1),4950(a,1,1))]. 6127 L(K(1 / x,y),z,u) = K(L(x,z,u) \ 1,y). [para(4699(a,1),4950(a,1,1))]. 6128 K(L(1 / x,y,z) \ 1,u) = L(K(x,u),y,z). [para(4695(a,2),4950(a,1,1)),flip(a)]. 6130 (x * y) \ (x * (y * K(z \ 1,u))) = K(L(z,y,x) \ 1,u). [hyper(228,a,28,a(flip),b,6126,a(flip)),flip(a)]. 6131 (x * y) * K(L(z,y,x) \ 1,u) = x * (y * K(z \ 1,u)). [para(6126(a,1),100(a,1,2))]. 6132 K(L(x \ 1,y,z) \ 1,u) = L(K(x,u),y,z). [para(2857(a,1),6126(a,1,1)),flip(a)]. 6133 K(L(K(x,y),z,u) \ 1,w) = L(K(K(y,x),w),z,u). [para(4879(a,1),6126(a,1,1,1)),flip(a)]. 6134 K(L(x \ y,z,u) \ 1,w) = L(K(y \ x,w),z,u). [para(5601(a,1),6126(a,1,1)),flip(a)]. 6135 K(L(T(1 / x,y),z,u) \ 1,w) = L(T(K(x,w),y),z,u). [para(5856(a,1),6126(a,1,1)),flip(a)]. 6136 L(K(1 / x,y),z,u) = K(1 / L(x,z,u),y). [hyper(228,a,2853,a,b,6127,a)]. 6137 K(1 / L(1 / x,y,z),u) = L(K(x,u),y,z). [hyper(5298,a,6128,a)]. 6138 K(x,L(y \ 1,z,u) \ 1) = L(K(y,x),z,u) \ 1. [para(6132(a,1),4879(a,1,1)),flip(a)]. 6139 K(x,1 / L(1 / y,z,u)) = 1 / L(K(y,x),z,u). [para(6137(a,1),4894(a,1,2)),flip(a)]. 6140 (x * T(x \ y,z)) * (y \ 1) = K((x * (y \ 1)) \ 1,z). [hyper(228,a,1479,a(flip),b,4958,a(flip)),flip(a)]. 6141 x * ((y \ (x \ 1)) * y) = K((x * y) \ 1,y). [para(113(a,1),4958(a,1,2))]. 6142 x * (y \ T(y * (x \ 1),z)) = K((x * (y \ 1)) \ 1,z). [para(868(a,1),4958(a,1,2))]. 6143 K(x \ 1,x) * (x \ y) = y * T(y \ (x \ y),T(x,z)). [para(2594(a,1),4964(a,1,1))]. 6144 K(x \ 1,y) * (x \ K(x,z)) = K(x,z) * T(x \ 1,y). [para(2696(a,1),4964(a,2,2,1))]. 6145 x * (y \ T(y * (x \ (y \ 1)),z)) = K(x \ 1,z) * (y \ 1). [para(868(a,1),4965(a,1,2))]. 6146 x * (K(x \ 1,y) * (x \ z)) = K(x \ 1,y) * z. [para(4964(a,2),4965(a,1,2))]. 6147 L(K(x \ 1,y),z,u) != w | K(L(x,z,u) \ 1,y) = w. [para(4971(a,1),4929(a,1))]. 6148 T(x,y) * z != R(x,u,w) * K(x,y) | x \ R(x,u,w) = z. [para(4989(a,1),19(a,1)),flip(a)]. 6149 K(((x \ 1) / (y / x)) \ 1,z) = (T(y,z) / x) / (y / x). [hyper(5641,a,5006,a)]. 6150 x \ (R(1 / y,y,x) * ((z * (y * x)) / z)) = K(z,1 / (x \ R(1 / y,y,x))). [para(365(a,1),5021(a,1,2,2,1,2))]. 6151 ((x * y) \ y) * (x * y) = y * K(x \ 1,y * x). [para(5932(a,2),5289(a,2,2))]. 6152 K(((x \ 1) * (x * y)) \ z,u) = K(L(y,x,x \ 1) \ z,u). [para(2993(a,1),5358(a,1,1,1)),flip(a)]. 6153 (x * (y * ((z * (y \ (x \ u))) / z))) / u = K(z,((x * y) / u) \ 1). [para(1249(a,1),5361(a,1,1))]. 6154 T(x * ((y * (x \ z)) / y),z) / z = K(y,(T(x,z) / z) \ 1). [para(2123(a,1),5361(a,1,1))]. 6155 x * K(y,z \ x) = z * ((y * (z \ x)) / y). [para(5558(a,1),5365(a,1,2))]. 6156 (x * ((y / z) / x)) * z = y * K(x,(x * z) \ y). [hyper(228,a,2108,a(flip),b,6155,a),flip(a)]. 6157 K(x,y * (((z * (u \ 1)) / z) \ 1)) = K(x,y * ((1 / u) \ K(u \ 1,z))). [para(4798(a,2),5390(a,2,2,2)),flip(a)]. 6158 K(x,((y \ 1) * z) \ u) = K(x,(z \ y) * u). [hyper(228,a,5544,a(flip),b,5392,a(flip))]. 6159 x \ (y \ ((z \ (y * x)) * z)) = K((z / y) \ x,z). [para(4611(a,1),5485(a,1,2))]. 6160 (x \ T(y,z)) * K(z,(x \ 1) \ (x \ y)) = x \ y. [hyper(5064,a,5491,a)]. 6162 x * (K(y \ x,x) * (y \ 1)) = T(x * (y \ 1),x). [hyper(228,a,5701,a(flip),b,5499,a(flip)),flip(a)]. 6163 x / (y * ((z \ (y \ x)) * z)) = K(z,x / (z * y)). [para(4504(a,1),5526(a,1,2))]. 6164 x / (y * ((z \ (y \ x)) * z)) = K(z,x / (z / (y \ 1))). [para(4517(a,1),5527(a,1,2))]. 6165 K(x,y * (K(z \ 1,z) / u)) = K(x,y / u). [hyper(228,a,5394,a(flip),b,5536,a(flip))]. 6166 K(x,y * (K(z \ 1,z) / (z \ u))) = K(x,y / ((1 / (1 / z)) \ u)). [para(3063(a,1),5536(a,1,2,2)),flip(a)]. 6167 K(x,((y \ z) \ K(y,u)) * w) = K(x,(T(y,u) \ z) \ w). [para(5004(a,1),5546(a,1,2,1)),flip(a)]. 6168 K(x,(y \ 1) \ z) != u | K(x,y * z) = u. [para(5549(a,1),5191(a,1))]. 6170 K(x,y / z) != u | K(x,y * (z \ 1)) = u. [para(3256(a,1),6168(a,1))]. 6171 K(x,(1 / y) \ z) != u | K(x,y * z) = u. [para(5383(a,2),6168(a,1))]. 6172 K(x,y / (z \ 1)) != u | K(x,y * z) = u. [para(317(a,2),6171(a,1,2))]. 6173 K(x,((1 / y) * z) \ u) != w | K(x,(z \ y) * u) = w. [para(326(a,1),6171(a,1,2,1))]. 6174 K(x \ 1,(x \ 1) \ y) != z | K(x \ 1,y * x) = z. [para(4874(a,1),6172(a,1))]. 6175 K(x,(y \ 1) \ x) != z | K(x,x * y) = z. [para(5108(a,1),6172(a,1))]. 6176 K(x,((y \ 1) / z) \ 1) != u | K(x,z * y) = u. [para(5410(a,2),6172(a,1))]. 6177 K(x,y * x) != z | K(x,x * y) = z. [para(5541(a,1),6175(a,1))]. 6178 K(x,(y \ K(z,u)) \ 1) != w | K(x,K(u,z) * y) = w. [para(4910(a,1),6176(a,1,2,1))]. 6179 x * K(y,(z \ 1) \ (z \ u)) = (1 / x) \ K(y,u). [para(14(a,1),5550(a,1,2,2)),flip(a)]. 6180 ((1 / (x \ y)) \ z) * (1 / (x \ y)) = z * K(z * (x \ y),y \ x). [para(5555(a,1),5655(a,2,2))]. 6181 K((x \ y) * x,1 / x) = K(y,1 / x). [hyper(228,a,5354,a(flip),b,5694,a(flip))]. 6182 x * (y \ R(y,x,y)) = T(y * x,y) / y. [para(5325(a,1),5696(a,1,2))]. 6183 R(x,x \ 1,y \ R(y,x \ 1,y)) = (y \ R(y,x \ 1,y)) / (T(y * (x \ 1),y) / y). [para(6182(a,1),159(a,2,2))]. 6184 T(x,x \ ((x \ y) \ 1)) = T(x,y \ 1). [hyper(228,a,4806,a,b,5705,a)]. 6185 T(x,(x * y) \ 1) = T(x,x \ (y \ 1)). [para(13(a,1),6184(a,1,2,2,1)),flip(a)]. 6186 T(x,L(x * (y \ z),x \ 1,y) \ 1) = T(x,x \ (((x \ 1) * ((y * (x \ 1)) \ z)) \ 1)). [para(1128(a,1),6184(a,1,2,2,1)),flip(a)]. 6187 T(x,y \ (x \ 1)) = T(x,x \ (y \ 1)). [para(118(a,1),6185(a,1,2))]. 6188 T(x,x \ (((x \ 1) * y) \ 1)) = T(x,y \ 1). [hyper(228,a,5679,a(flip),b,6187,a(flip))]. 6189 x * (y * K((y \ (x \ 1)) \ 1,z)) = T(x * y,z). [para(5841(a,1),14(a,1,2))]. 6190 K(((1 / x) / (y / x)) \ 1,z) * (y / x) = T(y,z) / x. [para(16(a,1),5847(a,1,1,1)),flip(a)]. 6191 K(x \ ((y \ z) \ 1),u) = K(x \ ((z \ 1) * y),u). [para(254(a,1),5890(a,1,1,2))]. 6192 x * K(x,y \ ((z \ 1) * u)) = T(x,y \ ((1 / z) * u)). [para(5897(a,1),4705(a,2,2)),flip(a)]. 6193 K(x,y \ (((1 / 1) * z) \ K(u,w))) = K(x,y \ ((1 / z) * K(u,w))). [para(5234(a,2),5897(a,2,2,2)),flip(a)]. 6194 K(x,(y / (1 / (K(z,u) / w))) * v5) = K(x,(y / (w * K(u,z))) * v5). [para(4898(a,1),5899(a,1,2,1,2,2))]. 6195 K(x,T((y \ 1) * ((z \ y) * z),u)) = K(x,T(K(z \ y,z),u)). [para(4618(a,1),5900(a,1,2,1)),flip(a)]. 6196 K(x,(y * (1 / z)) \ u) = K(x,(z / y) * u). [hyper(228,a,5552,a(flip),b,5901,a)]. 6197 K(x,(y * (1 / (z * y))) \ u) = K(x,z * u). [para(15(a,1),6196(a,2,2,1))]. 6198 T(x,y) / ((1 / z) \ x) = (1 / z) * K((((1 / z) \ x) \ 1) \ (z \ 1),y). [para(5356(a,1),5923(a,2,2))]. 6199 T(K(x,y),z * y) = T(K(x,y),y * z). [hyper(228,a,5818,a(flip),b,5942,a(flip))]. 6200 T(K(x,y),z * y) * K(y,x) = K(K(x,y),y * z). [para(6199(a,2),4907(a,1,1))]. 6203 K(x,y \ K(y,z)) * z = z * K(x,(z \ (z * y)) \ 1). [para(4798(a,1),5964(a,1,1,2))]. 6204 x * K(y,(x \ z) \ 1) = K(y,x / z) * x. [para(5410(a,1),5964(a,1,1)),flip(a)]. 6205 T(K(x,y / z),y) = K(x,(y \ z) \ 1). [hyper(172,a,6204,a)]. 6207 K(x,y / z) * y = y * K(x,z \ y). [para(5558(a,1),6204(a,1,2)),flip(a)]. 6208 T(K(x,y / z),y) = K(x,z \ y). [hyper(228,a,5558,a(flip),b,6205,a)]. 6209 T(K(x,y / z),y) != u | K(x,z \ y) = u. [para(6205(a,2),5671(a,1))]. 6210 K(x,T(x,y) / z) = K(x,z \ T(x,y)). [hyper(228,a,3165,a(flip),b,6208,a(flip)),flip(a)]. 6211 K(x,(y \ z) \ z) = T(K(x,y),z). [para(61(a,1),6208(a,1,1,2)),flip(a)]. 6213 T(x,K(y,z \ x)) != u | T(x,K(y,x / z)) = u. [para(6208(a,1),3999(a,1,2))]. 6214 K(x,T(y,y \ z)) = T(K(x,y),z). [para(114(a,2),6211(a,1,2))]. 6215 T(K(x,T(y,z)),y) = K(x,T(y,z)). [para(2490(a,1),6211(a,1,2)),flip(a)]. 6216 K(x,T(y,z / y)) = T(K(x,y),z). [para(3968(a,2),6211(a,1,2))]. 6217 T(K(x,y),z * y) = K(x,T(y,z)). [para(3959(a,2),6211(a,1,2)),flip(a)]. 6218 K(x,(y \ 1) \ 1) != z | K(x,y) = z. [para(6211(a,2),5997(a,1)),flip(b)]. 6219 T(K(x,y),y * z) = K(x,T(y,z)). [para(13(a,1),6214(a,1,2,2)),flip(a)]. 6220 K(x,T(y,y \ 1)) != z | K(x,y) = z. [para(6214(a,2),5997(a,1)),flip(b)]. 6221 T(x,K(y,T(x,z))) = x. [hyper(35,a,6215,a)]. 6222 K(x,T(y,z)) * y = y * K(x,T(y,z)). [para(6215(a,1),113(a,1,2)),flip(a)]. 6223 T(x,y) * K(z,T(x,u)) = K(z,T(x,u)) * T(x,y). [para(6221(a,1),182(a,1,2,1)),flip(a)]. 6224 (x * y) * K(z,T(x,y)) = K(z,x) * (x * y). [para(6219(a,1),113(a,1,2))]. 6225 K(x * y,T(x,y)) != z | K(x * y,x) = z. [para(6219(a,1),4935(a,1))]. 6226 K(x,y) * K(y,T(x,z)) = K(x * z,K(x,y)). [para(6219(a,1),5970(a,1,2))]. 6227 K(x,R(x,y,z) / u) = K(x,u \ R(x,y,z)). [hyper(18,a,3160,a(flip),b,6207,a)]. 6228 (1 / x) \ K(x,T(x,y) / z) = T(x,z \ T(x,y)). [hyper(71,a,6210,a,b,4694,a(flip))]. 6230 ((x \ y) * z) * K(x,T(x \ y,z)) = (y / x) * z. [hyper(228,a,5664,a(flip),b,6224,a)]. 6231 K(x,R(x,y,z) * (u \ 1)) = K(x,u \ R(x,y,z)). [hyper(6170,a,6227,a)]. 6232 ((((x * y) * z) \ 1) \ ((x * (y * z)) \ 1)) * (x * (y * z)) = (x * (y * z)) * ((a(x,y,z) \ 1) \ 1). [para(24(a,2),6013(a,2,2,1,1))]. 6233 x \ K(y \ x,x \ y) = y \ (1 / (x / y)). [para(3298(a,1),6030(a,1,2))]. 6234 (1 / (x \ y)) * (z / (1 / (x \ y))) = z * K(y \ x,z * (x \ y)). [para(5601(a,1),6037(a,2,2))]. 6235 (x * (y \ z)) * T(y,y \ z) = R(x,z / y,y) * z. [hyper(228,a,475,a,b,6043,a)]. 6236 x \ (y \ ((1 / (1 / x)) * y)) = K(x \ (y \ 1),x). [para(326(a,1),6094(a,1,2,2))]. 6237 L(K(x,y \ z),z,z \ 1) = K(x,((1 / z) * y) \ 1). [para(2988(a,1),6103(a,1,2,1)),flip(a)]. 6238 ((x * K(y,z)) / (z * K(y,z))) * z = R(x,K(y,z),z). [hyper(2518,a,6115,a),flip(a)]. 6239 L(K(x,y),z,u) \ 1 = L(K(y,x),z,u). [hyper(228,a,6101,a(flip),b,6138,a(flip))]. 6240 1 / L(K(x,y),z,u) = L(K(y,x),z,u). [para(6239(a,1),61(a,1,2))]. 6241 1 / L(K(x,y),z,u) != w | L(K(y,x),z,u) = w. [para(6239(a,1),293(a,1,2)),flip(b)]. 6242 L(K(x,K(y,z)),u,w) = K(x,L(K(y,z),u,w)). [para(6239(a,1),6102(a,1,2)),flip(a)]. 6243 L(K(x,y),z,u) \ 1 != w | L(K(y,x),z,u) = w. [para(6240(a,1),283(a,1,1)),flip(b)]. 6244 x * L(K(x,K(y,z)),u,w) = T(x,L(K(y,z),u,w)). [para(6242(a,2),4705(a,2,2)),flip(a)]. 6248 (1 / x) * (K(x,y) * ((1 / x) \ z)) = K((1 / x) \ 1,y) * z. [para(64(a,1),6146(a,1,2,1,1))]. 6249 (x \ 1) * (K(x,y) * ((x \ 1) \ z)) = K((x \ 1) \ 1,y) * z. [para(2857(a,1),6146(a,1,2,1))]. 6250 K((x / y) \ z,x) = K((y \ x) \ z,x). [hyper(228,a,5484,a(flip),b,6159,a(flip))]. 6251 (1 / (x \ T(y,z))) \ K(z,y) = x \ y. [hyper(228,a,6160,a(flip),b,6179,a(flip))]. 6252 (1 / x) \ K(y,T(z * u,w)) = x * K(y,T((z \ 1) \ u,w)). [para(919(a,1),6179(a,1,2,2)),flip(a)]. 6254 (T(x,y) / z) \ x = (1 / z) \ K(y,x). [para(64(a,1),6251(a,1,1,2)),flip(a)]. 6255 K(x,y) / (z \ T(x,y)) = 1 / (z \ x). [para(6251(a,1),5238(a,1,2)),flip(a)]. 6256 (T(x,y) / z) \ x = z * K(y,x). [hyper(228,a,5186,a(flip),b,6254,a)]. 6257 x / (y * K(z,x)) = T(x,z) / y. [para(6256(a,1),61(a,1,2))]. 6258 (x \ y) * K(x / y,y) = (y * (x / y)) \ y. [para(5704(a,1),6256(a,1,1)),flip(a)]. 6259 T(x,y) / (z * K(x,y)) = x / z. [para(5062(a,1),6257(a,1,2)),flip(a)]. 6260 T(x,y / x) / (z / (x \ y)) = x / (z / (y / x)). [para(5230(a,1),6257(a,1,2)),flip(a)]. 6261 (x / y) * (y * K(x,z)) = T(x,z). [para(6259(a,1),16(a,1,1))]. 6262 (x / y) \ T(x,z) = y * K(x,z). [para(6259(a,1),64(a,1,1))]. 6265 (x \ y) * K(y,z) = x \ T(y,z). [hyper(71,a,6261,a(flip),b,133,a(flip)),flip(a)]. 6267 (x * y) \ T(y * x,z) = K(y,x) * K(y * x,z). [para(135(a,1),6262(a,1,1))]. 6268 x \ ((y \ z) \ z) = (x \ y) * K(y,y \ z). [hyper(228,a,393,a(flip),b,6265,a),flip(a)]. 6270 (x \ L(y,z,u)) * K(L(y,z,u),w) = x \ L(T(y,w),z,u). [para(40(a,2),6265(a,2,2))]. 6273 (1 / (x \ y)) \ K(y,z) != u | x \ T(y,z) = u. [para(6255(a,1),283(a,1,1)),flip(b)]. 6274 (x \ ((y \ z) \ z)) * K(y \ z,y) = x \ y. [hyper(5064,a,6268,a(flip))]. 6278 (x \ y) * K(y,z) != u | x \ T(y,z) = u. [para(5186(a,1),6273(a,1))]. 6279 K(x,y) * K(x * y,z) != u | (y * x) \ T(x * y,z) = u. [para(26(a,2),6278(a,1,1))]. 6280 K(x,y) * (z * K((z \ K(y,x)) \ 1,u)) = T(K(x,y) * z,u). [para(4879(a,1),6189(a,1,2,2,1,1,2))]. 6281 K(K(x,y),y * z) = K(z * y,K(y,x)). [hyper(6001,a,6200,a),flip(a)]. 6282 K(x * y,K(y,z)) = K(y * x,K(y,z)). [hyper(6012,a,6281,a),flip(a)]. 6283 T(x,y \ T(x,z)) != u | T(x,T(x,z) / y) = u. [para(6228(a,1),4856(a,1))]. 6285 x \ T(1 / (1 / x),y) = K(x \ (y \ 1),x). [para(32(a,2),6236(a,1,2))]. 6286 (x / (1 / (x \ y))) / x = x \ (x / (1 / (y / x))). [para(6260(a,1),3974(a,1,2)),flip(a)]. 6287 (K(x,y) * K(x * y,z)) * (y * x) = T(x * y,z). [para(6267(a,1),6111(a,1,1))]. 6288 T((x / (1 / (x \ y))) / x,1 / (y / x)) = x \ (x / ((y / x) \ 1)). [para(6286(a,2),2869(a,1,1))]. 6289 R(x \ T(y,z),T(y,z) \ 1,y) = (y \ x) \ K(y,z). [para(61(a,1),4728(a,1,1,2)),flip(a)]. 6290 (K(x,y) \ z) \ (K(x,y) \ (z * u)) = L(u,z,K(y,x)). [hyper(71,a,5035,a,b,5049,a)]. 6291 L(x \ (K(y,z) * (1 / u)),x,K(z,y)) = ((K(z,y) * x) \ 1) / u. [hyper(228,a,304,a,b,5050,a)]. 6292 L(K(x,y) * (K(z,u) * w),K(y,x),K(u,z)) = (K(u,z) * K(y,x)) \ w. [para(5035(a,1),5050(a,1,1))]. 6293 (L(x,y,z) * K(x,u)) \ w = K(u,x) * (L(x,y,z) \ w). [hyper(228,a,4158,a(flip),b,5051,a(flip))]. 6294 T((1 / x) * K(y * R(1 / x,x,z),1 / x),y) = R(1 / x,y,z / (x * z)). [para(162(a,1),5398(a,2,3))]. 6295 R(x,x \ (y \ x),x) = R(x,y \ 1,x). [hyper(228,a,5401,a(flip),b,5402,a(flip))]. 6296 K(x,L(L(y \ 1,y,z),z * y,u)) = K(x,1 / L(y,z,u)). [para(386(a,2),5559(a,1,2))]. 6297 L(K(x,y \ z),z,u) = K(x,(u * y) \ (u * z)). [hyper(228,a,6103,a(flip),b,5566,a(flip)),flip(a)]. 6298 K(x,(y * z) \ (y * x)) = K(x,z \ x). [hyper(5513,a,6297,a),flip(a)]. 6299 L(K(x,(y \ z) \ u),u,y) = K(x,z \ (y * u)). [para(14(a,1),6297(a,2,2,1))]. 6300 L(K(x,y \ (z \ u)),z \ u,z) = K(x,(z * y) \ u). [para(14(a,1),6297(a,2,2,2))]. 6301 K(x,(y * (z / u)) \ (y * z)) = L(K(x,u),z,y). [para(64(a,1),6297(a,1,1,2)),flip(a)]. 6302 K(x,(y * z) \ (y * x)) != u | K(x,z \ x) = u. [para(6297(a,1),5513(a,1))]. 6303 K(x,(y \ z) \ x) = K(x,z \ (y * x)). [para(14(a,1),6298(a,1,2,1)),flip(a)]. 6304 K(x \ y,(x * z) \ y) = K(x \ y,z \ (x \ y)). [para(14(a,1),6298(a,1,2,2))]. 6305 T(x,(y * z) \ (y * x)) = x * K(x,z \ x). [para(6298(a,1),4705(a,2,2))]. 6306 K(x,(K(y,z) * u) \ x) = K(x,u \ (K(z,y) * x)). [para(5042(a,1),6298(a,1,2,1)),flip(a)]. 6307 K(x,T((y \ z) \ 1,z) \ x) = K(x,y \ ((((y \ z) \ 1) \ y) * x)). [para(6027(a,2),6303(a,1,2,1))]. 6308 T(x,(y * z) \ (y * x)) = T(x,z \ x). [hyper(228,a,4705,a,b,6305,a)]. 6309 T(x,(y \ z) \ x) = T(x,z \ (y * x)). [para(14(a,1),6308(a,1,2,1)),flip(a)]. 6310 L(T(K(x,(y \ z) \ u),w),u,y) = T(K(x,z \ (y * u)),w). [para(6299(a,1),40(a,2,1))]. 6311 (x * y) * K(z,u \ (x * y)) = x * (y * K(z,(x \ u) \ y)). [para(6299(a,1),100(a,1,2))]. 6312 K(x,(y * ((y \ z) / u)) \ z) = L(K(x,u),y \ z,y). [para(14(a,1),6301(a,1,2,2))]. 6313 K(x,L(y,z / y,u)) = L(K(x,y),z,u). [para(104(a,2),6301(a,1,2))]. 6314 K(x,L(y,z / y,u)) = L(K(y,x),z,u) \ 1. [hyper(228,a,6239,a,b,6313,a)]. 6315 L(K(x,y),z * y,u) = K(x,L(y,z,u)). [para(15(a,1),6313(a,1,2,2)),flip(a)]. 6316 (x * y) * K(z,L(u,y / u,x)) = x * (y * K(z,u)). [para(6313(a,2),100(a,1,2))]. 6317 K(x \ y,L(y \ x,z,u)) = K(x \ y,y \ x). [hyper(4451,a,6315,a),flip(a)]. 6318 K(x \ 1,L(x,y,z)) = K(x \ 1,x). [hyper(4400,a,6315,a),flip(a)]. 6319 K(1 / x,L(x,y,z)) = K(1 / x,x). [hyper(228,a,4416,a(flip),b,6315,a(flip))]. 6320 K(L(x,y,z) \ 1,x) = K(x \ 1,L(x,u,w)). [hyper(228,a,4377,a,b,6318,a),flip(a)]. 6321 L(K(x \ 1,L(x,y,z)),u,w) = K(L(x,u,w) \ 1,x). [para(6318(a,2),2362(a,1,1))]. 6322 K(1 / L(x,y,z),L(x,u,w)) = L(K(1 / x,x),y,z). [para(6319(a,1),6136(a,1,1)),flip(a)]. 6323 K(x,L(y,z / y,u)) != w | L(K(x,y),z,u) = w. [para(6314(a,2),6243(a,1))]. 6324 K(x,L(y \ z,y,u)) != w | L(K(x,y \ z),z,u) = w. [para(61(a,1),6323(a,1,2,2))]. 6325 K(x,(y * (z / u)) \ (y * z)) != w | L(K(x,u),z,y) = w. [para(104(a,1),6323(a,1,2))]. 6326 L(K(x \ y,z),y,u) = K((u * x) \ (u * y),z). [hyper(228,a,6134,a(flip),b,5603,a(flip)),flip(a)]. 6327 L(K(x \ y,z),y,y \ 1) = K(((y \ 1) * x) \ 1,z). [hyper(228,a,5531,a(flip),b,6326,a)]. 6328 L(K((x \ y) \ z,u),z,x) = K(y \ (x * z),u). [para(14(a,1),6326(a,2,1,1))]. 6329 L(K(x \ (y \ z),u),y \ z,y) = K((y * x) \ z,u). [para(14(a,1),6326(a,2,1,2))]. 6330 K((x * (y / z)) \ (x * y),u) = L(K(z,u),y,x). [para(64(a,1),6326(a,1,1,1)),flip(a)]. 6331 L(K(x \ T(y,z),u),T(y,z),z) = K((z * x) \ (y * z),u). [para(113(a,1),6326(a,2,1,2))]. 6332 L(K(x \ y,z),y,u) = K(L(x \ y,x,u),z). [para(102(a,2),6326(a,2,1))]. 6333 L(K((K(x,y) * z) \ u,w),u,K(y,x)) = K(z \ (K(y,x) * u),w). [para(5042(a,1),6326(a,2,1,1))]. 6334 L(K(x * y,z),y,u) = K((u * (x \ 1)) \ (u * y),z). [para(5637(a,1),6326(a,1,1))]. 6335 L(K(L(x,y,z) \ x,u),x,z * y) = K(a(z,y,x),u). [para(1703(a,2),6332(a,2,1))]. 6336 K((x \ y) \ z,z \ (x \ y)) = K(y \ (x * z),z \ (x \ y)). [hyper(4451,a,6328,a)]. 6337 K((x \ y) \ z,u \ (x * z)) = K(y \ (x * z),(x \ u) \ z). [hyper(228,a,6299,a(flip),b,6328,a(flip)),flip(a)]. 6338 (x * y) * K(z \ (x * y),u) = x * (y * K((x \ z) \ y,u)). [para(6328(a,1),100(a,1,2))]. 6339 K(L(x,y / x,z),u) = L(K(x,u),y,z). [para(104(a,2),6330(a,1,1))]. 6340 K(L(x,y / x,z),u) = (z * y) \ (z * (y * K(x,u))). [hyper(228,a,28,a(flip),b,6339,a)]. 6341 L(K(x,y),z * x,u) = K(L(x,z,u),y). [para(15(a,1),6339(a,1,1,2)),flip(a)]. 6342 L(K(x,y),z * x,u) = K((L(x,z,u) \ 1) \ 1,y). [hyper(228,a,2857,a,b,6341,a)]. 6343 (x * (y * z)) / K(L(y,z,x),z) = x * (z * y). [para(6341(a,1),508(a,1,2))]. 6344 (x * (y * z)) * K(z,L(y,z,x)) = x * (z * y). [hyper(5067,a,6343,a)]. 6345 (x * (y * z)) * u != x * (z * y) | K(z,L(y,z,x)) = u. [para(6344(a,1),19(a,1)),flip(a)]. 6346 L(K(x,y),z * x,u) != w | K(L(x,z,u),y) = w. [para(6342(a,2),4948(a,1))]. 6347 L(K(x,y),z * T(x,u),w) != v5 | K(L(x,z * K(x,u),w),y) = v5. [para(5177(a,1),6346(a,1,2))]. 6351 L(x * K(y,x),z,u) \ L(x,z,u) != w | K(L(x,z,u),y) = w. [para(5819(a,1),5085(a,1,1))]. 6354 R(x * K(y,x),z,u) \ R(x,z,u) != w | K(R(x,z,u),y) = w. [para(5822(a,1),5085(a,1,1))]. 6358 K(x \ y,x) * T(z,x \ y) != u | (y / x) \ (z * (x \ y)) = u. [para(32(a,2),6019(a,1,2))]. 6359 K(x,L(y,x,x \ 1)) * (y * x) = x * y. [para(15(a,1),6078(a,2,2))]. 6360 K(x,L(y,x,x \ 1)) = K(x,y). [hyper(4816,a,6359,a),flip(a)]. 6362 K(x,(K(y,z) * u) \ w) != v5 | K(x,(u \ K(z,y)) * w) = v5. [para(4894(a,1),6173(a,1,2,1,1))]. 6363 K(x,((y \ 1) * z) \ u) != w | K(x,(z \ y) * u) = w. [para(5392(a,1),6173(a,1))]. 6364 R(x,y \ z,T(y,y \ z)) = R(x,z / y,y). [hyper(773,a,6235,a)]. 6365 L(K(x,y \ z),z,z \ 1) = K(x,((z \ 1) * y) \ 1). [hyper(228,a,5392,a(flip),b,6237,a)]. 6366 R(x * y,K(z,y),y) = R(x,y,K(z,y)) * y. [para(30(a,2),6238(a,1,1)),flip(a)]. 6367 R(x * y,K(z,y),y) != u * y | R(x,y,K(z,y)) = u. [para(6366(a,2),20(a,1))]. 6368 (K(x,y) \ (z * u)) \ (K(x,y) \ (z * (u * w))) = L(L(w,u,z),z * u,K(y,x)). [para(100(a,1),6290(a,1,2,2))]. 6369 L(K(x,R(y,z,y) \ (z \ u)),z \ u,z) = K(x,T(y * z,y) \ u). [para(4040(a,1),6300(a,2,2,1))]. 6370 L(K(x,K(y,z) * (u \ w)),u \ w,u) = K(x,(u * K(z,y)) \ w). [para(5035(a,1),6300(a,1,1,2))]. 6371 L(K(x,y * (z \ u)),z \ u,z) = K(x,(z * (y \ 1)) \ u). [para(5548(a,1),6300(a,1,1))]. 6372 (x * y) * K(z \ u,u \ z) = x * (y * K(z \ u,u \ z)). [para(6317(a,1),6316(a,1,2))]. 6373 K(L(x,y,z) \ 1,L(x,u,w)) = K(L(x,y,z) \ 1,x). [hyper(6147,a,6321,a)]. 6374 K(1 / L(x,y,z),L(x,u,w)) = K(1 / x,x). [hyper(228,a,4416,a(flip),b,6322,a)]. 6376 L(x,y,z) * K(1 / x,x) = 1 / (1 / L(x,y,z)). [para(6374(a,1),1888(a,1,2))]. 6377 K(x,1 / x) * (y / L(x,z,u)) = y / (1 / (1 / L(x,z,u))). [para(6376(a,1),4323(a,1,2)),flip(a)]. 6378 K(x,(y * z) \ (y * u)) != w | L(K(x,z \ u),u,y) = w. [para(102(a,1),6324(a,1,2))]. 6379 K(((x \ 1) * y) \ 1,z) = K(y \ x,z). [hyper(228,a,5282,a(flip),b,6327,a(flip))]. 6380 K(((x \ 1) * y) \ 1,z) = K((y \ 1) * x,z). [hyper(228,a,5635,a,b,6379,a)]. 6382 K(((((x \ 1) \ y) \ 1) * x) \ 1,z) = K(y,z). [para(14(a,1),6380(a,2,1))]. 6383 x * ((x \ y) * K(z \ (x \ y),u)) = y * K((x * z) \ y,u). [para(6329(a,1),441(a,1,2)),flip(a)]. 6384 L(K(x * (y \ z),u),y \ z,y) = K((y * (x \ 1)) \ z,u). [para(5637(a,1),6329(a,1,1))]. 6385 L(K((x \ y) \ (z \ u),y),z \ u,z) = K((z * (y / x)) \ u,y). [para(6250(a,1),6329(a,1,1))]. 6386 K(L(x,y / x,z),u) != w | L(K(x,u),y,z) = w. [para(6340(a,2),456(a,1))]. 6387 K(x,((y \ 1) * (y / z)) \ 1) = L(K(x,z),y,y \ 1). [para(64(a,1),6365(a,1,1,2)),flip(a)]. 6388 K(L(x,y,z) \ 1,L(x,u,w)) = K(x \ 1,L(x,v5,v6)). [hyper(228,a,6320,a(flip),b,6373,a)]. 6389 K(L(x,y,z) \ 1,L(x,u,w)) = K(x \ 1,x). [hyper(228,a,4377,a(flip),b,6373,a)]. 6391 K((x \ (y * z)) \ 1,L((y \ x) \ z,u,w)) = K(((y \ x) \ z) \ 1,(y \ x) \ z). [para(458(a,1),6389(a,1,1,1))]. 6392 K(L(x,y,z) \ 1,L(x,u,w)) * K(L(x,v5,v6),x \ 1) = 1. [para(6388(a,2),4886(a,1,1))]. 6393 (x * (1 / (y * x))) / (1 / T(y,x)) = K(x,(y * x) \ 1). [hyper(228,a,3240,a(flip),b,4796,a)]. 6394 T(x * K(y,x),x \ K(x,y)) = (x \ 1) \ K(y,x). [hyper(228,a,5581,a(flip),b,4911,a)]. 6396 T(K(x,y) * K(x,z),K(x,y) \ K(z,x)) = ((K(x,z) * K(x,y)) \ 1) \ 1. [para(5990(a,1),4911(a,2,1,1))]. 6397 (x * K(y \ 1,z)) * y = (x * y) * K(y \ 1,z). [para(4650(a,1),4967(a,1,1,2))]. 6400 (x * K(y \ 1,z)) \ ((x * y) * K(y \ 1,z)) = y. [hyper(77,a,6397,a)]. 6401 R(T(x,y * K(x \ 1,z)),y,K(x \ 1,z)) = T(x,y). [para(6400(a,1),1038(a,1,1)),flip(a)]. 6402 K(x,x * y) * (L(y,z,u) * x) = L(y,z,u) * T(x,x * y). [hyper(228,a,4061,a(flip),b,5032,a)]. 6403 K(x,x * y) * (R(y,z,u) * x) = R(y,z,u) * T(x,x * y). [hyper(228,a,4062,a(flip),b,5033,a)]. 6405 x * (y * ((x \ 1) / y)) = K(y,(x * y) \ 1). [para(14(a,1),5359(a,1,2,2,1))]. 6406 (x * (y \ ((z \ (y * (x \ u))) * z))) \ u = K(z,(x * (y \ z)) \ u). [para(893(a,1),5467(a,1,1,2))]. 6407 (x * (y * (z * T(z \ (y \ (x \ u)),w)))) \ u = K(w,(x * (y * z)) \ u). [para(852(a,1),5467(a,1,1,2))]. 6408 (x * (((y \ ((x \ z) * u)) * y) / u)) \ z = K(y,(x * (y / u)) \ z). [para(1468(a,1),5467(a,1,1,2))]. 6409 x \ T(x * K(y \ x,z),x) = K(T(y,x) \ x,z). [hyper(71,a,5500,a(flip),b,5241,a(flip))]. 6410 K(T(x / y,x) \ x,z) = x \ T(x * K(y,z),x). [para(64(a,1),6409(a,1,2,1,2,1)),flip(a)]. 6411 (x * T(y,L(z,y,x))) \ (x * (y * z)) = L(T(z,y),y,x). [hyper(228,a,40,a,b,5518,a)]. 6412 x / (K(y \ x,y) * ((x \ 1) \ 1)) = (x \ 1) * (y * (x / y)). [hyper(228,a,5073,a,b,5521,a(flip)),flip(a)]. 6413 (x \ 1) * (y * (x / y)) != z | K(y,y \ x) * K(x \ 1,x) = z. [para(5521(a,1),2358(a,1))]. 6414 K((K(x,y) / x) * z,u) = K((x \ K(x,y)) * z,u). [para(4905(a,1),5530(a,1,1,1)),flip(a)]. 6415 K(x,(y / R(y,z,u)) \ x) = K(x,x * (y \ R(y,z,u))). [para(3527(a,2),5542(a,1,2,1))]. 6416 K(x,(T(y,z) * u) \ y) = K(x,u \ K(z,y)). [hyper(228,a,5936,a(flip),b,5567,a(flip))]. 6417 K(x,(T(y,z) \ u) \ K(z,y)) = K(x,u \ y). [para(14(a,1),6416(a,1,2,1)),flip(a)]. 6418 T(1 / ((x * y) \ x),y) = 1 / ((x * y) \ x). [hyper(331,a,5691,a),flip(a)]. 6419 T(T(1 / ((x * y) \ x),z),y) = T(1 / ((x * y) \ x),z). [hyper(17,a,198,a(flip),b,5691,a)]. 6420 K((x \ (y / (z \ 1))) \ 1,y) = x \ (((y \ (x / z)) * y) * z). [para(3558(a,1),5839(a,1,2)),flip(a)]. 6421 x * K((x \ (y * z)) \ 1,y) = z * ((y \ (z \ x)) * y). [hyper(4520,a,5844,a),flip(a)]. 6422 T(K(x \ K(x,y),z),y) = K(x \ 1,z). [para(4752(a,1),5858(a,1,1,1)),flip(a)]. 6423 K(x \ K(x,y),z) * y = y * K(x \ 1,z). [para(6422(a,1),113(a,1,2)),flip(a)]. 6424 (K(x,x \ 1) / y) / z = K(x,x \ 1) / (z * y). [hyper(228,a,3454,a(flip),b,5872,a(flip))]. 6425 (T((1 / x) * y,z) \ 1) / K(z,x \ y) = y \ x. [para(5551(a,1),5884(a,1,2))]. 6426 T((1 / x) * y,z) \ K(x \ y,z) = y \ x. [hyper(5125,a,6425,a)]. 6427 T((1 / K(x,y)) * (x \ (T(x,y) / z)),u) \ K(K(x,y) \ (x \ (T(x,y) / z)),u) = R(z,T(x,y) \ 1,x). [hyper(228,a,4728,a(flip),b,6426,a)]. 6428 K(x * y,T(y,z)) = K(y * x,T(y,z)). [hyper(5904,a,5910,a),flip(a)]. 6429 K(x,y * (z / (1 / u))) = K(x,y * ((z \ 1) \ u)). [hyper(6171,a,5914,a)]. 6430 K(x,y * (z / ((1 / u) * w))) = K(x,y * ((z \ 1) \ (w \ u))). [para(326(a,1),6429(a,1,2,2,2))]. 6431 K(x \ R(x,y,z),R(x,u,w)) != v5 | 1 = v5. [para(6047(a,2),149(a,1))]. 6432 (x * L(K(y,z),u,w)) \ x = L(K(z,y),u,w). [para(6132(a,1),6105(a,1,1,2))]. 6433 (x * L(K(y,z),u,w)) * L(K(z,y),u,w) = x. [para(6432(a,1),14(a,1,2))]. 6434 x / L(K(y,z),u,w) = x * L(K(z,y),u,w). [para(6432(a,1),61(a,1,2))]. 6435 x * L(K(y,z),u,w) != v5 | v5 * L(K(z,y),u,w) = x. [para(6432(a,1),84(a,1,2)),flip(b)]. 6436 x / L(K(y,z),u,w) != v5 | x * L(K(z,y),u,w) = v5. [para(6432(a,1),293(a,1,2)),flip(b)]. 6437 (x * (y * K(z,u))) \ (x * y) = L(K(u,z),y,x). [para(100(a,1),6432(a,1,1))]. 6438 (x * ((x \ y) * K(z,u))) \ y = L(K(u,z),x \ y,x). [para(441(a,1),6432(a,1,1))]. 6439 (x * (y * K(z,u))) * L(K(u,z),y,x) = x * y. [hyper(205,a,6433,a),flip(a)]. 6440 x / L(K(y,z),u,w) != x * v5 | L(K(z,y),u,w) = v5. [para(6434(a,2),19(a,1))]. 6442 (x * (y \ T(y * z,y))) \ (x * z) = L(K(y,y * z),z,x). [para(5292(a,2),6437(a,1,1,2))]. 6443 (x * (y * K(z,u))) \ (x * y) != w | L(K(u,z),y,x) = w. [para(6439(a,1),284(a,1,2)),flip(b)]. 6444 (x * (y * T(z,u))) * L(K(u,z),y * z,x) = x * (y * z). [para(5199(a,1),6439(a,1,1,2))]. 6445 L(K(x,y),z,u) \ w = L(K(y,x),z,u) * w. [para(6132(a,1),6106(a,1,1)),flip(a)]. 6446 L(K(x,y),z,u) * (L(K(y,x),z,u) * w) = w. [hyper(284,a,6445,a)]. 6447 L(K(x,y),z,u) \ K(x,w) = K(x,w) * L(K(y,x),z,u). [hyper(228,a,1761,a(flip),b,6445,a)]. 6448 L(K(x,y),z,u) * w != v5 | L(K(y,x),z,u) * v5 = w. [para(6446(a,1),19(a,1)),flip(a)]. 6449 L(K(x,y),z,u) \ w != v5 | L(K(y,x),z,u) * w = v5. [para(6446(a,1),284(a,1,2)),flip(b)]. 6450 K((x * (y \ 1)) \ 1,y) = K(x \ y,y). [hyper(228,a,5015,a(flip),b,6140,a(flip))]. 6451 (x * K((x \ y) \ 1,z)) * (x \ 1) = K((y * (x \ 1)) \ 1,z). [para(4954(a,1),6140(a,1,1))]. 6452 K(x \ y,y) / (y \ T(y * (x \ 1),y)) = x. [hyper(72,a,6450,a(flip),b,6142,a)]. 6453 x * (y \ K(y \ x,x)) = T(x * (y \ 1),x). [para(6452(a,1),140(a,1,2,1))]. 6454 ((x * (K(y \ x,x) * (y \ 1))) / x) / (y \ 1) = y * (T(x * (y \ 1),x) / x). [para(6453(a,1),1704(a,2,2,1))]. 6455 x * T(x \ (y \ x),T(y,z)) = ((y \ 1) \ 1) \ x. [hyper(5875,a,6143,a),flip(a)]. 6456 K(((1 / x) / (y / x)) \ 1,z) = (T(y,z) / x) / (y / x). [hyper(228,a,5895,a,b,6149,a(flip)),flip(a)]. 6457 K(x,y / (x / (z \ 1))) = K(x,y / (x * z)). [hyper(228,a,6163,a(flip),b,6164,a(flip))]. 6458 T(x,y \ ((1 / z) * u)) = T(x,y \ ((z \ 1) * u)). [hyper(4708,a,6192,a),flip(a)]. 6459 T(x,1 / ((y \ ((1 / z) \ 1)) * u)) = T(x,(1 / (1 / u)) \ ((z \ 1) * y)). [para(632(a,2),6458(a,1,2))]. 6460 K(x,y \ K(y,z)) * z = z * K(x,y \ 1). [para(13(a,1),6203(a,2,2,2,1))]. 6462 (x * (1 / (y * x))) / (1 / T(y,x)) = K(x,x \ (y \ 1)). [hyper(228,a,5934,a(flip),b,6393,a)]. 6463 (x * T(y,L(z * K(y,z),y,x))) \ (x * (y * (z * K(y,z)))) = L(z,y,x). [para(4674(a,1),6411(a,2,1))]. 6464 x * K((y * z) \ x,y) = z * ((y \ (z \ x)) * y). [para(5601(a,1),6421(a,1,2))]. 6466 T(x \ y,z) \ T((x \ y) * (y \ x),z) = y \ (x * K(z,x \ y)). [hyper(228,a,2045,a,b,4803,a(flip)),flip(a)]. 6467 K(x,y) * ((y * x) * T(z,x * y)) = L(z,y * x,K(x,y)) * (x * y). [hyper(378,a,4817,a),flip(a)]. 6468 L(L(K(x,y),z,u),K(y,x),w) = L(K(x,y),z,u). [para(5037(a,1),4903(a,2,1))]. 6470 x / L(L(K(y,z),u,w),K(z,y),v5) = x * L(K(z,y),u,w). [para(6468(a,2),6434(a,1,2))]. 6471 (T(x * y,z) * L(u,y,x)) \ (K(x * y,z) * ((x * y) * u)) = L(a(x,y,u),x * (y * u),K(x * y,z)). [para(4999(a,1),463(a,1,1))]. 6472 K(R(x,y,z),u) * (x \ R(x,y,z)) = R(T(x,u),y,z) * (x \ 1). [para(1147(a,1),5030(a,1,2))]. 6473 (R(x,y,z) * u) / (R(T(x,w),y,z) * u) != v5 | K(w,R(x,y,z)) = v5. [para(5030(a,1),5047(a,1,2))]. 6474 L(K(x,y),z * K(y,x),u) = L(K(x,y),z,u). [hyper(228,a,6437,a(flip),b,5068,a)]. 6476 T(K(x * (y \ 1),y \ 1) / y,x) = R(1 / y,x,1 / y). [para(5345(a,1),5297(a,1,1,1))]. 6477 K(x,L(y \ L(y,z,u),y,u * z)) = K(x,a(u,z,y) \ 1). [para(470(a,2),5564(a,1,2))]. 6478 K((x * (y * z)) \ ((x * y) * z),a(x,y,z) \ 1) / (((x * y) * z) \ (x * (y * z))) = (((x * y) * z) \ (x * (y * z))) \ 1. [para(5564(a,1),2788(a,1,1))]. 6479 K(x * y,z) * (y * x) != u | K(y,x) * T(x * y,z) = u. [para(4497(a,2),5733(a,1))]. 6480 L(T(x,y),x \ T(z,x),x) = T(L(x,x \ z,x),y). [para(4632(a,1),5806(a,1,1)),flip(a)]. 6481 L(T(x,y),x \ T(z,x),x) = L(T(x,y),x \ z,x). [hyper(228,a,40,a,b,6480,a)]. 6482 L(R(T(x,y),z,u),x \ T(w,x),x) = R(L(T(x,y),x \ w,x),z,u). [para(6481(a,1),44(a,1,1)),flip(a)]. 6483 T(x,y \ (z * x)) * K(y \ z,x) = L(x,(z \ y) \ 1,x). [para(6309(a,1),6071(a,1,1))]. 6484 K((x / y) \ z,x) != u | K((y \ x) \ z,x) = u. [para(6159(a,1),6079(a,1))]. 6485 R(K(x \ y,x),y,z) = K(((x * z) / (y * z)) \ 1,x). [para(5628(a,1),6121(a,1,1))]. 6486 R(K(x \ (y / z),x),y / z,z) = K(((x * z) / y) \ 1,x). [para(16(a,1),6485(a,2,1,1,2))]. 6487 K(L(x,y,z) \ 1,u) != w | L(K(x \ 1,u),y,z) = w. [para(6130(a,1),456(a,1))]. 6489 (x * (y * K(z \ 1,u))) \ (x * y) != w | K(u,L(z,y,x) \ 1) = w. [para(6131(a,1),5085(a,1,1))]. 6490 K(x,L(L(1 / y,y,z),z * y,u)) = K(x,1 / L(y,z,u)). [hyper(228,a,3253,a,b,6296,a(flip)),flip(a)]. 6491 K(L(x,y,z),L(x,u,w) \ 1) = K(L(x,v5,v6),x \ 1). [hyper(4908,a,6392,a)]. 6492 K(L(x,y,z),L(x,u,w) \ 1) = K(x,x \ 1). [hyper(228,a,5760,a(flip),b,6491,a)]. 6493 L(x,y,z) \ K(x,x \ 1) = 1 / L(x,y,z). [hyper(71,a,6492,a(flip),b,1841,a(flip))]. 6494 L(x,y,z) \ (1 / x) = x \ (1 / L(x,y,z)). [hyper(71,a,6493,a(flip),b,1857,a(flip)),flip(a)]. 6495 L(x,y,z) \ K(x,L(x,u,w) \ 1) = 1 / L(x,y,z). [para(6099(a,2),6493(a,1,2))]. 6496 (L(x,y,z) \ x) / x = 1 / L(x,y,z). [hyper(228,a,5370,a(flip),b,6495,a(flip)),flip(a)]. 6498 (1 / L(x,y,z)) * x = L(x,y,z) \ x. [para(6496(a,1),16(a,1,1))]. 6499 x / L(x,y,z) = L(x,y,z) \ x. [hyper(228,a,1540,a(flip),b,6498,a(flip)),flip(a)]. 6500 (L(x,y,z) \ x) * L(x,y,z) = x. [para(6498(a,1),1541(a,1,1))]. 6501 (1 / x) \ (1 / L(x,y,z)) = L(x,y,z) \ x. [hyper(546,a,6499,a)]. 6502 (L(x,y,z) \ x) \ x = L(x,y,z). [para(6499(a,1),64(a,1,1))]. 6503 L(x \ (y \ z),x,y) \ (x \ (y \ z)) = (x \ (y \ z)) / ((y * x) \ z). [para(222(a,1),6499(a,1,2)),flip(a)]. 6504 T(L(x,y,z),L(x,y,z) \ x) = L(x,y,z). [hyper(266,a,6500,a)]. 6505 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(6442(a,1),6038(a,1,1,2))]. 6506 (x * (y * T(z,u))) * K(u,L(z,y,x)) = x * (y * z). [para(6315(a,1),6444(a,1,2))]. 6507 (x * (y * z)) * K(L(z,y,x),u) = x * (y * T(z,u)). [hyper(5064,a,6506,a)]. 6508 (x * (y * T(z,u))) \ (x * (y * z)) = K(u,L(z,y,x)). [hyper(77,a,6506,a)]. 6509 (x * (K(y,z) * y)) * K(y,u) = x * (K(y,z) * T(y,u)). [para(6048(a,1),6507(a,1,2,1))]. 6510 (x * (y * T(T(z,y),u))) \ (x * (z * y)) = K(u,L(T(z,y),y,x)). [para(113(a,1),6508(a,1,2,2))]. 6511 (x * T(y,z)) * K(y,u) = x * (K(y,z) * T(y,u)). [para(4712(a,2),6509(a,1,1,2))]. 6512 (x / (K(y,z) * L(K(z,y),u,w))) * K(y,z) = x * L(K(y,z),u,w). [hyper(765,a,6470,a)]. 6513 T(K(x * (y \ 1),y \ 1) / y,x) = R(1 / y,x,y \ 1). [hyper(228,a,3331,a(flip),b,6476,a)]. 6514 R(K(x \ (y / z),x),y / z,z) != u | K(y / (x * z),x) = u. [para(6486(a,2),6063(a,1))]. 6515 T(K(x \ y,x \ 1) / x,y) = R(1 / x,y,x \ 1). [para(5649(a,1),6513(a,1,1,1))]. 6516 K(x \ y,x) * ((y \ 1) \ 1) = T((x \ y) * x,y \ 1). [hyper(228,a,3727,a(flip),b,4636,a)]. 6517 (x * y) * K(R(y,x,y),x * y) = ((y * x) / R(y,x,y)) * y. [hyper(1671,a,4832,a),flip(a)]. 6518 L(x \ 1,x,y * K(x,z)) != u | L(x \ 1,T(x,z),y) = u. [para(5221(a,2),4859(a,1))]. 6519 (1 / (1 / x)) / (x * y) = x / (((x \ 1) \ 1) * y). [para(4753(a,1),4864(a,1,2)),flip(a)]. 6520 (1 / (1 / x)) / (x * (T(x,y) \ 1)) = x / (T(x,y) \ ((x \ 1) \ 1)). [para(1587(a,1),6519(a,2,2))]. 6521 T(x,y) / (T(x,y) * y) = x / ((y * K(x,y)) * x). [para(4755(a,1),5099(a,1,1))]. 6522 T(x,y) / (T(x,y) * y) = x / (x * y). [para(4715(a,1),6521(a,2,2))]. 6523 (x / (x * y)) \ T(x,y) = T(x,y) * y. [para(6522(a,1),64(a,1,1))]. 6524 (x \ K(x,y)) * T((x \ 1) \ 1,z) = K(x,y) * K(x,z). [hyper(228,a,6007,a(flip),b,5182,a)]. 6525 K(x \ 1,x) * (K(x,y) * K(x,z)) = (x \ K(x,y)) * T(x,z). [para(6524(a,1),3489(a,1,2))]. 6526 K((x * y) / (x * (z \ y)),u) = (x * (K(z,u) * y)) / (x * y). [para(4988(a,1),5336(a,1,1,2)),flip(a)]. 6527 (((x / y) * T(y,z)) * u) \ (x * u) = K(z,((x / y) * u) \ (x * u)). [para(64(a,1),5468(a,1,1,1,2,1))]. 6528 K(x,T(y \ z,u) \ T(z,u)) = T(K(y,x) * z,u) \ T(z,u). [para(4988(a,1),5469(a,1,1,1)),flip(a)]. 6529 x * K((x \ (y * z)) \ 1,z) = y * ((z \ (y \ x)) * z). [para(113(a,1),5842(a,2,2))]. 6530 x * K((y * z) \ x,z) = y * ((z \ (y \ x)) * z). [para(5601(a,1),6529(a,1,2))]. 6531 K((x * y) \ z,y) = K((y * x) \ z,y). [hyper(17,a,6464,a,b,6530,a)]. 6532 1 / K((x * y) \ z,x) = K(x,(y * x) \ z). [para(6531(a,1),4894(a,1,2))]. 6533 K(x,(y * x) \ z) = K(x,(x * y) \ z). [hyper(4897,a,6532,a),flip(a)]. 6534 x * K((T(x,y) \ y) \ 1,z) = T(y * T(y \ x,z),x). [hyper(228,a,1726,a(flip),b,5846,a(flip))]. 6535 T(x * T(x \ y,z),y) != y * u | K((T(y,x) \ x) \ 1,z) = u. [para(6534(a,1),19(a,1))]. 6536 T(x,1 / y) / ((x / y) \ x) = (x / y) * K(x,1 / y). [para(5692(a,1),5878(a,1,1))]. 6537 (x / y) * K(x,1 / y) = T(x,1 / y) / y. [para(64(a,1),6536(a,1,2)),flip(a)]. 6538 R(T(x \ y,x * z),x,z) != u | T((x * z) \ (y * z),x) = u. [para(42(a,2),5907(a,1))]. 6539 K(x,(a(K(y,z),u,w) \ ((u * w) \ K(z,y))) * v5) = K(x,((K(y,z) * u) * w) \ v5). [para(89(a,1),5935(a,1,2,1)),flip(a)]. 6540 K(x,((((y \ 1) \ (K(z,u) \ 1)) * K(z,u)) * w) \ v5) = K(x,(w \ ((((K(z,u) \ y) \ 1) \ 1) \ K(u,z))) * v5). [para(6013(a,2),5935(a,1,2,1,1))]. 6541 R(x,x \ 1,(x \ 1) \ (x \ y)) = (y / x) \ ((x \ 1) \ (x \ y)). [hyper(780,a,5938,a)]. 6542 K(x,y * ((z \ L(u,1 / z,z)) * w)) = K(x,y * (((1 / z) * u) * w)). [para(3000(a,1),6018(a,1,2,2,1)),flip(a)]. 6543 (x * (y * z)) \ K(x * y,y \ (x \ 1)) = L(z,y,x) \ (1 / (x * y)). [para(28(a,2),6031(a,1,1)),flip(a)]. 6544 x \ K(y * (z \ 1),(z \ 1) \ (y \ 1)) = ((y * (z \ 1)) \ x) \ (z / y). [para(259(a,1),6031(a,1,2)),flip(a)]. 6545 R(R(K(x,y),x,x \ z),z,u) = K((((x \ z) * u) / (z * u)) \ 1,y). [para(554(a,1),6124(a,1,1,1)),flip(a)]. 6546 T(((x * y) / x) * (y \ z),z) / z = K(x,(T(y \ z,z) / z) \ 1). [para(806(a,1),6154(a,1,1,1))]. 6547 (1 / x) * (K(x,y) * ((1 / x) \ z)) = K(x,y) * z. [para(64(a,1),6248(a,2,1,1))]. 6548 K(x,y) * ((1 / x) * z) = (1 / x) * (K(x,y) * z). [para(13(a,1),6547(a,1,2,2)),flip(a)]. 6550 (K(x,y) * z) \ (K(x,y) * ((1 / x) * z)) = T(1 / x,K(x,y) * z). [hyper(71,a,6548,a,b,113,a)]. 6552 (x \ 1) * (K(x,y) * ((x \ 1) \ z)) = K(x,y) * z. [para(2857(a,1),6249(a,2,1))]. 6554 K(x,y) * ((x \ 1) * z) = (x \ 1) * (K(x,y) * z). [para(13(a,1),6552(a,1,2,2)),flip(a)]. 6556 K(x,y) * ((x \ 1) * T(z,K(x,y))) = (x \ 1) * (z * K(x,y)). [para(113(a,1),6554(a,2,2))]. 6557 x * (K(x,y) * ((x \ 1) * z)) = L(K(x,y) * z,x \ 1,x). [para(6554(a,2),190(a,1,2))]. 6558 ((x \ 1) * y) / ((x \ 1) * (K(x,z) * y)) = K(z,x). [para(6554(a,1),5040(a,1,2))]. 6559 ((x \ 1) * (K(y,x) * z)) / ((x \ 1) * z) = K(y,x). [para(5042(a,1),6558(a,1,2,2))]. 6561 L(K(x,y) * z,x \ 1,x) = T(x,y) * ((x \ 1) * z). [hyper(5146,a,6557,a),flip(a)]. 6562 T(x,y) * ((x \ 1) * (K(y,x) * z)) = L(z,x \ 1,x). [para(5042(a,1),6561(a,1,1)),flip(a)]. 6563 K(x,T((y \ 1) \ z,u)) = K(x,T(y * z,u)). [hyper(5233,a,6252,a),flip(a)]. 6564 K(x,y) * (K(y,x) * T(K(y,x) \ z,u)) = T(K(x,y) * z,u). [para(4954(a,2),6280(a,1,2))]. 6565 T(K(x,y) * (z * K(y,x)),u) = K(x,y) * (T(z,u) * K(y,x)). [para(5843(a,1),6280(a,1,2)),flip(a)]. 6566 (x * y) * z != x * (y * K(u,(x \ w) \ y)) | K(u,w \ (x * y)) = z. [para(6311(a,1),19(a,1)),flip(a)]. 6567 K((x \ 1) \ y,z \ (x * y)) = K(x * y,(x \ z) \ y). [para(51(a,1),6337(a,2,1))]. 6568 K((R(x,y,z) \ (R(x,y,z) * (x \ u))) \ u,w \ (R(x,y,z) * u)) = K(T(x,R(x,y,z) * (x \ u)),(R(x,y,z) \ w) \ u). [para(1226(a,1),6337(a,2,1))]. 6569 (x * y) * z != x * (y * K((x \ u) \ y,w)) | K(u \ (x * y),w) = z. [para(6338(a,1),19(a,1)),flip(a)]. 6570 x * ((y \ 1) * K(z \ u,u \ z)) = (y / x) \ K(z \ u,u \ z). [hyper(5728,a,6372,a),flip(a)]. 6571 (x * ((x \ y) * K(z \ (x \ y),u))) \ y != w | K(u,(x * z) \ y) = w. [para(6383(a,2),5085(a,1,1))]. 6572 K(R(x,L(y,z,u),x),R(x,L(y,z,u),x) * y) * T(x * L(y,z,u),x) = L(y,z,u) * T(R(x,L(y,z,u),x),R(x,L(y,z,u),x) * y). [para(4040(a,1),6402(a,1,2))]. 6573 K(R(x,R(y,z,u),x),R(x,R(y,z,u),x) * y) * T(x * R(y,z,u),x) = R(y,z,u) * T(R(x,R(y,z,u),x),R(x,R(y,z,u),x) * y). [para(4040(a,1),6403(a,1,2))]. 6574 x / T((y \ x) * y,x \ 1) = (x \ 1) * (y * (x / y)). [para(6516(a,1),6412(a,1,2))]. 6575 K((x \ (y / (z \ 1))) \ 1,y) = K((x \ (y * z)) \ 1,y). [hyper(228,a,5837,a(flip),b,6420,a)]. 6576 K((x \ (y * z)) \ 1,y) = K((y / (z \ 1)) \ x,y). [hyper(5782,a,6575,a),flip(a)]. 6577 K((x / (y \ 1)) \ z,x) = K((x * y) \ z,x). [hyper(5782,a,6576,a),flip(a)]. 6578 K((x * ((1 / y) \ 1)) \ 1,z) / y = (1 / y) * K(((1 / y) \ x) \ 1,z). [hyper(313,a,6451,a)]. 6579 ((x * y) / R(x,y,x)) * x = (y * x) * K(T(x,y),y * x). [para(4884(a,1),6517(a,1,2)),flip(a)]. 6580 ((x * y) / R(x,y,x)) * x = T(x,y * x) * T(y,x). [hyper(228,a,4822,a(flip),b,6579,a)]. 6581 T(x,(x \ y) * x) * T(x \ y,x) = (y / R(x,x \ y,x)) * x. [para(14(a,1),6580(a,1,1,1)),flip(a)]. 6582 (K(x,y) * K(x,z)) \ K(x,x \ 1) = ((x \ K(x,y)) * T(x,z)) \ 1. [para(6525(a,1),434(a,1,1)),flip(a)]. 6583 T(K(x,y) * z,u) * K(y,T(x \ z,u) \ T(z,u)) = T(z,u). [para(6528(a,2),14(a,1,2))]. 6584 K(x,y) \ T(K(x,y) * z,u) = K(y,x) * T(K(y,x) \ z,u). [hyper(77,a,6564,a)]. 6585 T(K(x,y) * z,u) != K(x,y) * w | K(y,x) * T(K(y,x) \ z,u) = w. [para(6564(a,1),19(a,1))]. 6586 T(K(x,y) * (z * K(y,x)),u) != K(x,y) * w | T(z,u) * K(y,x) = w. [para(6565(a,2),19(a,1))]. 6587 (K(x,y) * T(K(x,y) \ z,u)) * K(y,x) = T(z * K(y,x),u). [para(6584(a,1),4471(a,1,1))]. 6588 T((K(x,y) * z) * K(y,x),u) = (K(x,y) * T(z,u)) * K(y,x). [para(13(a,1),6587(a,1,1,2,1)),flip(a)]. 6589 T((K(x,y) * z) * K(y,x),u) != w * K(y,x) | K(x,y) * T(z,u) = w. [para(6588(a,2),20(a,1))]. 6590 x * (y * ((z \ (y \ z)) * z)) = (x * K(y \ 1,z)) * z. [hyper(228,a,4584,a(flip),b,4970,a(flip)),flip(a)]. 6591 (x * K(y \ 1,z)) * z = x * (z * K(y \ 1,z)). [para(4679(a,1),6590(a,1,2)),flip(a)]. 6592 R(x,K(y \ 1,z),z) = x. [hyper(2517,a,6591,a)]. 6593 R(x,K(y,z),z) = x. [para(64(a,1),6592(a,1,2,1))]. 6594 R(x,y,K(z,y)) = x. [hyper(6367,a,6593,a)]. 6595 (x * K(y,z)) * z = x * (z * K(y,z)). [para(6593(a,1),2516(a,1,1)),flip(a)]. 6596 (x * y) * K(z,y) = x * (y * K(z,y)). [para(6594(a,1),109(a,1,1)),flip(a)]. 6597 (x * K(y,z)) \ (x * (z * K(y,z))) = z. [hyper(77,a,6595,a)]. 6598 (x * K(y,z)) * (y * K(z,y)) = x * y. [para(5062(a,1),6595(a,1,1)),flip(a)]. 6599 (x * y) * (z * K(y,z)) = (x * T(y,z)) * z. [para(5199(a,1),6595(a,1,1)),flip(a)]. 6600 L(K(x,y),y,z) = K(x,y). [hyper(445,a,6596,a)]. 6601 (x * y) * K(z,y) = x * ((z * y) / z). [hyper(228,a,4828,a,b,6596,a)]. 6602 (x / (y * K(z,y))) * y = x * K(y,z). [hyper(18,a,5066,a(flip),b,6596,a)]. 6603 K((x \ y) \ z,z) = K(y \ (x * z),z). [hyper(17,a,6338,a,b,6596,a)]. 6604 a(x,y,K(z,y)) = 1. [hyper(70,a,6596,a(flip),b,89,a),flip(a)]. 6606 K(L(x,y,z),y * x) = K(x,y * x). [hyper(6346,a,6600,a)]. 6607 L(K(x,y),y,z) = L(K(x,y),y,u). [hyper(228,a,6600,a,b,6600,a)]. 6608 L(K(x,y \ z),y \ z,u) = K(x,(z \ y) \ 1). [hyper(228,a,5558,a,b,6600,a)]. 6610 L(L(K(x,y),z,u),y,w) = L(K(x,y),z,u). [para(6600(a,1),45(a,1,1)),flip(a)]. 6613 L(K(x,y),y,z) != u | K(x,y) = u. [para(6607(a,1),3865(a,1)),flip(b)]. 6614 K(x \ (y * z),z) != u | K((y \ x) \ z,z) = u. [para(6328(a,1),6613(a,1))]. 6615 K(L(x,y,z),y * x) = K(x,x * y). [hyper(228,a,5433,a(flip),b,6606,a)]. 6616 K(L(x,y,z),y * x) != u | K(x,x * y) = u. [para(6606(a,2),6177(a,1))]. 6617 L(T(x,K(y,x)),K(y,x),z) = x. [hyper(721,a,6597,a)]. 6618 L(x,K(y,x),z) = x. [para(2499(a,1),6617(a,1,1))]. 6619 (x * K(y,z)) * T(z,u) = x * (K(y,z) * T(z,u)). [para(6618(a,1),450(a,1,2,1))]. 6620 (x * K(y,z)) * R(z,u,w) = x * (K(y,z) * R(z,u,w)). [para(6618(a,1),451(a,1,2,1))]. 6621 (x * K(y,z)) * L(z,u,w) = x * (K(y,z) * L(z,u,w)). [para(6618(a,1),452(a,1,2,1))]. 6623 (x * y) / ((z * y) / z) = x * K(y,z). [hyper(5432,a,6598,a)]. 6624 x / (y * K(z,y)) = (x / y) * K(y,z). [hyper(72,a,16,a(flip),b,6598,a)]. 6625 (x * ((y * z) / y)) * y = (x * z) * T(y,z). [para(6601(a,1),5177(a,1,1))]. 6626 (x * ((y * z) / y)) * y != u | (x * z) * T(y,z) = u. [para(6601(a,1),5179(a,1,1))]. 6627 (x / (y / (y / z))) * z = x * K(z,z \ y). [para(4621(a,2),6602(a,1,1,2))]. 6628 K(x \ (y * z),z) / (z \ T(z * ((y \ x) \ 1),z)) = y \ x. [para(6603(a,1),6452(a,1,1))]. 6629 x / ((y * z) / y) = (x / z) * K(z,y). [hyper(228,a,225,a(flip),b,6623,a(flip)),flip(a)]. 6632 x / (y / (y / z)) = (x / z) * K(z,y / z). [para(4829(a,2),6624(a,1,2))]. 6633 (x / ((y * z) / y)) * K(y,z) = x / z. [hyper(5064,a,6629,a(flip))]. 6634 (1 / (x / ((y * z) / y))) \ K(y,z) = x / z. [hyper(5239,a,6633,a)]. 6635 x \ ((x / ((y * z) / y)) * ((((y * z) / y) \ K(y,z)) * ((y * z) / y))) = T(x \ (x / z),(y * z) / y). [para(6633(a,1),897(a,2,1,2))]. 6636 (x / ((y * z) / y)) \ T(x / z,1 / (x / ((y * z) / y))) = ((1 / (x / ((y * z) / y))) \ K(y,z)) * (1 / (x / ((y * z) / y))). [para(6633(a,1),3116(a,1,2,1))]. 6638 L(L(K(x,y),z * y,u),y,w) = K(x,L(y,z,u)). [hyper(228,a,6315,a(flip),b,6610,a)]. 6639 (K(x * y,z) * ((x * y) / x)) * x = (x * y) * R(K(x * y,z),y,T(x,y)). [hyper(228,a,3172,a,b,6625,a)]. 6642 (x * K(y,z / (z / u))) * K(u,u \ z) = (x / T(z / (z / u),y)) * u. [para(5264(a,1),6627(a,1,1)),flip(a)]. 6643 L(T(K(x,y \ z),u),y \ z,w) = T(K(x,(z \ y) \ 1),u). [para(6608(a,1),40(a,2,1))]. 6644 L(K(x,L(y,z,u)),y,w) = K(x,L(y,z,u)). [para(6315(a,1),6638(a,1,1))]. 6645 K((x \ y) \ z,L(z,u,w)) = K(y \ (x * z),L(z,u,w)). [hyper(228,a,6328,a(flip),b,6644,a(flip))]. 6646 R(x,K(y,z),T(z,u)) = x. [hyper(476,a,6619,a)]. 6647 x / (K(y,z) * T(z,u)) = (x / T(z,u)) * K(z,y). [hyper(228,a,5089,a(flip),b,6646,a(flip)),flip(a)]. 6648 (x / T(y \ 1,z)) * K(y \ 1,y) = x / T(1 / y,z). [para(3010(a,1),6647(a,1,2)),flip(a)]. 6649 (x / T(y,y * z)) * K(y,z) = x / L(y,z,y). [para(4980(a,1),6647(a,1,2)),flip(a)]. 6650 (x / T(y,z)) * K(y,y * z) = x / R(y,z,y). [para(4982(a,1),6647(a,1,2)),flip(a)]. 6651 (x / T(y,z)) * T(y,y * z) = (x / R(y,z,y)) * y. [para(6650(a,1),5177(a,1,1)),flip(a)]. 6652 (x * K(y,z)) * K(z,z * y) = (x / R(z,y,z)) * z. [hyper(5736,a,6651,a)]. 6653 R(x,K(y,z),R(z,u,w)) = x. [hyper(476,a,6620,a)]. 6654 x / (K(y,z) * R(z,u,w)) = (x / R(z,u,w)) * K(z,y). [hyper(228,a,5089,a(flip),b,6653,a(flip)),flip(a)]. 6655 R(x,K(y,z),L(z,u,w)) = x. [hyper(476,a,6621,a)]. 6656 (x / T(y \ 1,z)) \ K(y,y \ 1) = (x / T(1 / y,z)) \ 1. [para(6648(a,1),2373(a,1,1)),flip(a)]. 6657 K(x \ (y * z),z) * K(z,z \ T(z * ((y \ x) \ 1),z)) = (y \ x) * (T(z * ((y \ x) \ 1),z) / z). [para(6628(a,1),6042(a,1,1)),flip(a)]. 6658 ((x * T(y,z)) * z) / (T(y,z) * z) = R(x,y,z * K(y,z)). [para(6599(a,1),5098(a,1,1))]. 6659 R(x,y,z * K(y,z)) = R(x,T(y,z),z). [hyper(489,a,6658,a),flip(a)]. 6660 L(K(x \ y,x) * z,K(x,x \ y),y) = (x * (y / x)) \ (y * z). [para(5042(a,1),5142(a,1,2,2)),flip(a)]. 6661 L(K(x,K(y,z \ 1) * (u \ w)),u \ w,u) = K(x,(K(z \ K(z,u),y) * u) \ w). [para(6423(a,2),6370(a,2,2,1))]. 6662 L(K(x,K(y \ 1,z) * (u \ w)),u \ w,u) = K(x,(K(z,y \ K(y,u)) * u) \ w). [para(6460(a,2),6370(a,2,2,1))]. 6663 K((x * (y / z)) \ u,y) = K((x * (z \ y)) \ u,y). [hyper(228,a,6329,a(flip),b,6385,a(flip))]. 6664 K((x * (y / x)) \ z,y) = K(y \ z,y). [para(14(a,1),6663(a,2,1,1))]. 6665 K(R(x,y,z),u) * (x \ R(x,y,z)) = x \ R(T(x,u),y,z). [hyper(228,a,1692,a(flip),b,6472,a)]. 6666 K(x,R(y,z,u)) * (y \ R(T(y,x),z,u)) = y \ R(y,z,u). [hyper(5071,a,6665,a)]. 6667 (x * (T(y,z) * u)) \ (x * (y * u)) = K(z,L(T(y,u),u,x)). [para(182(a,1),6510(a,1,1,2))]. 6668 (x * (T(y,z) * u)) \ (x * (y * u)) = K(z,T(L(y,u,x),u)). [para(40(a,1),6667(a,2,2))]. 6669 R((x \ y) * x,((x \ y) * x) \ 1,(((x \ y) * x) \ 1) \ K(x,x \ y)) = (y / ((x \ y) * x)) \ ((((x \ y) * x) \ 1) \ (((x \ y) * x) \ y)). [para(95(a,1),6541(a,1,3,2))]. 6670 (x / R(y,y \ x,y)) * y = T(y,x) * T(y \ x,y). [para(4067(a,1),6581(a,1,1)),flip(a)]. 6671 (x / R(y,y \ x,y)) * y = (y \ x) * T(y,x). [hyper(228,a,3788,a(flip),b,6670,a)]. 6672 x / R(y,y \ x,y) = y \ (x * K(y,x)). [hyper(18,a,4850,a,b,6671,a)]. 6673 x / R(y,y \ x,y) = (y * K(x,y)) \ x. [hyper(228,a,5335,a,b,6672,a)]. 6674 x / ((y \ x) \ T(x,y)) = (y * K(x,y)) \ x. [para(4044(a,1),6673(a,1,2))]. 6675 ((x * K(y,x)) \ y) \ y = (x \ y) \ T(y,x). [para(6674(a,1),64(a,1,1))]. 6676 (x \ (y * K(x,y))) \ y = (x \ y) \ T(y,x). [para(5335(a,1),6675(a,1,1))]. 6677 (x \ ((x * y) / x)) \ y = (x \ y) \ T(y,x). [para(4673(a,2),6676(a,1,1,2))]. 6678 L(x,y \ 1,y) / (L(x,y \ 1,y) / y) = y * K(y \ x,y). [para(4119(a,1),4630(a,2,2))]. 6679 (x * y) \ (y * (K(x,y) * (x * z))) = L(L(z,x,y),y * x,K(x,y)). [para(5164(a,1),4820(a,1,2))]. 6680 (x * K(y,z \ 1)) * z = (x * z) * K(y,z \ 1). [para(5362(a,1),5366(a,1,1))]. 6683 (x * (y \ 1)) * K(z,(y \ 1) \ 1) = (x * K(z,y)) * (y \ 1). [para(3236(a,1),6680(a,1,1,2)),flip(a)]. 6684 (x * K(y,z)) * (z \ 1) = (x * (z \ 1)) * K(y,z). [para(3236(a,1),6683(a,1,2)),flip(a)]. 6685 K(x,((y / (1 / z)) \ u) * w) = K(x,(((y \ 1) \ z) \ u) * w). [hyper(6363,a,5553,a),flip(a)]. 6687 K((T(x,y) \ T(z,y)) \ 1,x) = K((x \ z) \ 1,T(x,y)). [hyper(228,a,5911,a(flip),b,5840,a(flip))]. 6688 K((T(x,y) \ T(z,y)) \ 1,x) = K(z \ x,T(x,y)). [hyper(228,a,5601,a(flip),b,6687,a)]. 6689 K(T(x,y) \ T(z,y),z) = K(x \ z,T(z,y)). [hyper(5782,a,6688,a)]. 6690 K(x,T(y,z) \ T(x,z)) = 1 / K(y \ x,T(x,z)). [para(6689(a,1),4894(a,1,2)),flip(a)]. 6691 x / K(y \ x,T(x,z)) != u | T(x,T(y,z) \ T(x,z)) = u. [para(6689(a,1),4661(a,1,2))]. 6692 K(x,T(y,z) \ T(x,z)) = K(T(x,z),y \ x). [hyper(228,a,4894,a(flip),b,6690,a)]. 6693 (x * (y * ((x \ z) / y))) / z = K(y,((x * y) / z) \ 1). [para(14(a,1),6153(a,1,1,2,2,1))]. 6694 (x * (y * ((x \ z) / y))) / z = K(y,z / (x * y)). [hyper(228,a,5410,a(flip),b,6693,a)]. 6695 (x * (y * ((x \ z) / y))) / z != u | K(y,z / (x * y)) = u. [para(6693(a,2),5579(a,1))]. 6696 R(K(x,(y / z) / (u * x)),y / z,z) = ((u * (x * ((u \ (y / z)) / x))) * z) / y. [para(6694(a,1),497(a,1,1))]. 6697 K(x,y * (K(z \ 1,z) / (z \ u))) = K(x,y * ((u \ 1) * z)). [hyper(228,a,5426,a(flip),b,6166,a)]. 6698 K(x,y * ((z \ 1) * u)) = K(x,y / (u \ z)). [hyper(228,a,6165,a(flip),b,6697,a(flip))]. 6700 K(x,y / (z \ (1 / u))) = K(x,y * (u * z)). [para(64(a,1),6698(a,1,2,2,1)),flip(a)]. 6701 K(x,y / (z \ (1 / (z \ u)))) = K(x,y * (u * K(z \ u,z))). [para(239(a,2),6700(a,2,2,2))]. 6702 K(x,y / (z \ ((1 / u) * z))) = K(x,y * (u * K(z \ u,z))). [para(326(a,1),6701(a,1,2,2,2))]. 6703 K(x,y * (z * K(u \ z,u))) = K(x,y / T(1 / z,u)). [para(32(a,2),6702(a,1,2,2)),flip(a)]. 6704 K(x,y / T(1 / z,u)) = K(x,y * ((u \ z) * u)). [para(239(a,1),6703(a,1,2,2)),flip(a)]. 6705 K(x,y / T(z \ 1,u)) = K(x,y * ((u \ z) * u)). [hyper(228,a,5903,a(flip),b,6704,a(flip)),flip(a)]. 6706 (x * (y \ ((z \ (y * (x \ u))) * z))) \ u = K(z,(x * (z / y)) \ u). [para(4611(a,1),6408(a,1,1,2))]. 6707 T(x \ y,z) * (y \ (x * K(z,x \ y))) = T((x \ y) * (y \ x),z). [para(6466(a,1),14(a,1,2))]. 6708 L(R(T(x,y),z,u),x \ T(w,x),x) = L(R(T(x,y),z,u),x \ w,x). [hyper(228,a,44,a(flip),b,6482,a)]. 6709 L(K(x,y \ 1),z,u) != w | K(x,L(y,z,u) \ 1) = w. [para(6437(a,1),6489(a,1))]. 6710 x / (T(x,y) \ ((x \ 1) \ 1)) = (1 / (1 / x)) / K(y,x). [para(4647(a,2),6520(a,1,2)),flip(a)]. 6711 x / (T(x,y) \ ((x \ 1) \ 1)) = T(1 / (1 / x),y). [hyper(228,a,4737,a(flip),b,6710,a)]. 6712 x / (x * (1 / T(x,y))) = T(1 / (1 / x),y). [para(3194(a,1),6711(a,1,2))]. 6713 T(1 / (1 / x),y) \ x = x * (1 / T(x,y)). [para(6712(a,1),64(a,1,1))]. 6714 K(x,((y / z) * u) \ (y * u)) = ((y * K(z,x)) * u) \ (y * u). [para(5216(a,1),6527(a,1,1,1)),flip(a)]. 6715 ((x * K(y,z)) * u) * K(z,((x / y) * u) \ (x * u)) = x * u. [para(6714(a,2),14(a,1,2))]. 6716 K(x,((y / z) * L(z,u,w)) \ (y * L(z,u,w))) = (y * (K(z,x) * L(z,u,w))) \ (y * L(z,u,w)). [para(6051(a,1),6714(a,2,1))]. 6717 K(((x / y) * z) \ (x * z),u) = (x * z) \ ((x * K(y,u)) * z). [para(6715(a,1),5037(a,1,1)),flip(a)]. 6718 ((x * K(y,z)) * K(y,u)) * K(z,y) = x * K(y,u). [para(5277(a,1),6715(a,1,2,2))]. 6719 ((x * K(y,z)) * K(y,u)) * K(z,y) != w * v5 | w \ (x * K(y,u)) = v5. [para(6718(a,2),437(a,1))]. 6720 (x * K(y,z)) * K(u,y) = (x * K(u,y)) * K(y,z). [para(5062(a,1),6718(a,1,1,1))]. 6721 ((x * K(y,z)) * K(u,y)) * K(z,y) = x * K(u,y). [hyper(5064,a,6720,a(flip))]. 6722 ((x * K(y,z)) * K(z,u)) / z = (x * K(z,u)) / T(z,y). [hyper(72,a,6720,a(flip),b,5257,a)]. 6723 (x * K(y,z)) * K(z,u) != w | (x * K(z,u)) * K(y,z) = w. [para(6721(a,1),5065(a,1,1)),flip(b)]. 6724 ((x * K(y,z)) / z) * K(z,u) = (x * K(z,u)) / T(z,y). [hyper(5520,a,6722,a)]. 6725 (x * K(y,z)) / T(y,u) = (x / T(y,u)) * K(y,z). [para(5264(a,1),6724(a,1,1)),flip(a)]. 6726 ((x / T(y,z)) * K(y,u)) \ (x * K(y,u)) = T(y,z). [para(6725(a,1),64(a,1,1))]. 6727 ((x \ y) * K(x,z)) \ (y * K(x,z)) = T(x,x \ y). [para(199(a,1),6726(a,1,1,1))]. 6728 K((((x \ y) * z) / (y * z)) \ 1,u) = R(K(x,u),y,z). [para(3854(a,1),6545(a,1,1)),flip(a)]. 6729 K((x * y) / ((z \ x) * y),u) = R(K(z,u),x,y). [hyper(6063,a,6728,a)]. 6731 R(K(x / y,z),x,u) = K((x * u) / (y * u),z). [para(64(a,1),6729(a,1,1,2,1)),flip(a)]. 6732 K(R(x,x \ y,z),u) = R(K(x,u),y,z). [para(107(a,2),6729(a,1,1))]. 6733 K(R(x,x \ 1,y),z) = K(x,z). [hyper(228,a,340,a(flip),b,6732,a)]. 6734 R(K(x,y),x * z,u) = K(R(x,z,u),y). [para(13(a,1),6732(a,1,1,2)),flip(a)]. 6735 K(R(x,x \ y,z),u) * (y * z) = (K(x,u) * y) * z. [para(6732(a,2),109(a,1,1))]. 6736 K(x,R(y,y \ z,u)) = (w * R(K(y,x),z,u)) \ w. [para(6732(a,1),5037(a,1,1,2)),flip(a)]. 6737 (x * R(K(y,z),u,w)) \ x != v5 | K(z,R(y,y \ u,w)) = v5. [para(6732(a,1),5085(a,1,1,2))]. 6738 K(R(x,K(x,y) * (x \ z),u),w) = R(K(x,w),K(x,y) * z,u). [para(4996(a,1),6732(a,1,1,2))]. 6739 K(R(x,x \ 1,y),L(z,x,x \ 1)) = K(x,z). [hyper(228,a,6360,a(flip),b,6733,a)]. 6740 R(R(K(x,y),z,u),x * w,v5) = R(K(R(x,w,v5),y),z,u). [para(6734(a,1),46(a,1,1)),flip(a)]. 6741 R(K(x / (y / z),u),x,z) = K((x * z) / y,u). [para(16(a,1),6731(a,2,1,2))]. 6742 K(x,(T(y \ z,z) / z) \ 1) = T(K(x,y) * z,z) / z. [para(5662(a,1),6546(a,1,1,1)),flip(a)]. 6743 K(x,(T(y \ z,z) / z) \ 1) = z \ T(z * K(x,y),z). [hyper(228,a,4454,a(flip),b,6742,a)]. 6744 K(x,y / T(z \ y,y)) = y \ T(y * K(x,z),y). [hyper(5579,a,6743,a)]. 6745 K(x,T(y / z,y) \ y) = y \ T(y * K(x,z),y). [para(4192(a,1),6744(a,1,2))]. 6746 K(T(x / y,x) \ x,z) = K(y,T(x / z,x) \ x). [hyper(228,a,6410,a,b,6745,a),flip(a)]. 6747 K(x,T(y / z,y) \ y) * (K(z,x) * 1) = K(y * K(x,z),y). [para(6745(a,2),6020(a,1,1))]. 6748 K(x,T(y / z,y) \ y) * K(z,x) = K(y * K(x,z),y). [para(12(a,1),6747(a,1,2))]. 6749 L(T(1 / x,y),y,K(x,z)) = T(1 / x,K(x,z) * y). [hyper(721,a,6550,a)]. 6750 L(T(K(x,y),z),z,K(x,u)) = K(T(1 / x,K(x,u) * z) \ 1,y). [para(6749(a,1),6135(a,1,1,1)),flip(a)]. 6751 L(T(K(x,y),z),z,K(x,u)) = T(K(x,y),K(x,u) * z). [hyper(228,a,5856,a(flip),b,6750,a)]. 6752 K(x,y) * ((K(x,y) \ z) * L(T(K(x,u),K(x,y) \ z),w,v5)) = z * L(T(K(x,u),K(x,y) * (K(x,y) \ z)),w,v5). [para(6751(a,1),706(a,1,2,1)),flip(a)]. 6753 (x / y) \ K(z \ u,u \ z) = y * (x \ K(z \ u,u \ z)). [para(5131(a,1),6570(a,1,2)),flip(a)]. 6754 L(L(x,y,z),z * y,K(y,z)) = (y * z) \ (z * (T(y,z) * x)). [para(4720(a,1),6679(a,1,2,2)),flip(a)]. 6755 L(L(x,y,z),z * y,K(y,z)) != u | L(x,T(y,z),z) = u. [para(6754(a,2),768(a,1))]. 6756 K(x,(y * (x / z)) \ u) = K(x,(y * (z \ x)) \ u). [hyper(228,a,6406,a(flip),b,6706,a(flip))]. 6757 K(x,(y * (x / y)) \ z) = K(x,x \ z). [para(14(a,1),6756(a,2,2,1))]. 6758 K(x,(y * ((z \ x) \ x)) \ u) = K(x,(y * z) \ u). [para(61(a,1),6756(a,1,2,1,2)),flip(a)]. 6759 K(x,((y / T(z,z \ x)) * z) \ u) = K(x,y \ u). [para(314(a,1),6758(a,1,2,1)),flip(a)]. 6760 K(x,(y * K(z \ x,z)) \ u) = K(x,y \ u). [para(5257(a,1),6759(a,1,2,1))]. 6761 K(x,((y \ x) \ x) \ z) = K(x,y \ z). [para(4662(a,1),6760(a,1,2,1)),flip(a)]. 6762 (x * y) \ (x * (y * (z * K(1 / u,u)))) = L(z,y,x) * K(1 / u,u). [para(4335(a,1),4570(a,1,2,2))]. 6763 ((x * y) \ z) / (y \ (x \ z)) = (y \ (x \ z)) \ ((x * y) \ z). [para(222(a,1),4597(a,1,2)),flip(a)]. 6764 a(1 / (x * (x \ y)),x,z) = (z \ (x \ y)) \ ((x * z) \ y). [hyper(228,a,1498,a,b,6763,a(flip)),flip(a)]. 6765 (x \ (y \ z)) \ ((y * x) \ z) = a(1 / z,y,x). [para(14(a,1),6764(a,1,1,2)),flip(a)]. 6766 T(x * K(y * L(x,z,u),x),y) = R(x,y,L(x,z,u)). [para(4844(a,1),729(a,2,1)),flip(a)]. 6767 T(x,y) * K(y * L(x,z,u),T(x,y)) = R(x,y,L(x,z,u)). [hyper(5407,a,6766,a)]. 6768 T(T(x * K(y * R(x,z,u),x),w),y) = R(T(y \ (y * x),w),y,R(x,z,u)). [para(4846(a,1),913(a,1,1,1))]. 6769 (x * y) * (z \ T(z * L(y \ (z \ 1),y,x),u)) = (x * K(y \ 1,u)) * (z \ 1). [para(868(a,1),4969(a,1,2))]. 6770 R(x,y,z) * (x * (R((u * x) / u,y,z) \ 1)) = x * K(R(x,y,z),u). [para(792(a,2),5109(a,1,2,2,1))]. 6771 L(L(x * K(y,x),z,u),w,v5) * y = y * L(L(x,w,v5),z,u). [para(5819(a,1),5820(a,1,1,1))]. 6772 (x * (y \ T(y * z,u))) / (x * z) != w | K((x * z) / (x * (y \ 1)),u) = w. [para(868(a,1),6062(a,1,1,2))]. 6774 (x \ (y \ z)) / ((y * x) \ z) = ((y * x) \ z) \ (x \ (y \ z)). [para(222(a,1),6503(a,1,1)),flip(a)]. 6775 (1 / (x \ (y \ (z \ 1)))) \ (z * (y * x)) = ((y * x) \ (z \ 1)) \ (x \ (y \ (z \ 1))). [hyper(547,a,6774,a)]. 6776 K(x,y * (((1 / z) * u) * w)) = K(x,y * (((z \ 1) * u) * w)). [para(3056(a,1),6542(a,1,2,2,1)),flip(a)]. 6777 K(x,y * ((((K(z,u) / z) \ 1) * u) * w)) = K(x,y * ((u * (1 / (1 / z))) * w)). [para(5825(a,1),6776(a,1,2,2,1)),flip(a)]. 6778 ((x \ y) * ((y \ 1) * z)) \ K(x \ 1,(y \ 1) \ ((x \ y) \ 1)) = L(z,y \ 1,x \ y) \ (1 / ((x \ y) * (y \ 1))). [para(119(a,1),6543(a,1,2,1))]. 6779 L(1 / (x * y),y,x) \ (1 / (x * y)) != z | a(x,y,1 / (x * y)) = z. [para(6543(a,1),2009(a,1))]. 6781 L(K(x,y \ (z \ u)),z \ u,z) != w | K(x,(z * y) \ u) = w. [para(6438(a,1),6571(a,1))]. 6782 L(K(x,y),z \ u,z) != w | K(x,(z * ((z \ u) / y)) \ u) = w. [para(64(a,1),6781(a,1,1,2))]. 6783 L(K(x,K(y,z) * (u \ w)),u \ w,u) != v5 | K(x,(u * K(z,y)) \ w) = v5. [para(5035(a,1),6781(a,1,1,2))]. 6784 L(K(x,y * (z \ u)),z \ u,z) != w | K(x,(z * (y \ 1)) \ u) = w. [para(5548(a,1),6781(a,1,1))]. 6786 L(x * K(1 / y,y),z,u) = L(x,z,u) * K(1 / y,y). [hyper(456,a,6762,a)]. 6787 L((x \ 1) \ 1,y,z) * K(1 / x,x) = L(x,y,z). [para(4734(a,1),6786(a,1,1)),flip(a)]. 6788 L(x,y,z) * K(x,1 / x) = L((x \ 1) \ 1,y,z). [hyper(5064,a,6787,a)]. 6789 K(x,1 / x) * (y * L(x,z,u)) = y * L((x \ 1) \ 1,z,u). [para(6788(a,1),4411(a,2,2))]. 6790 R(x,y,z) * (R((u * x) / u,y,z) \ x) = x * K(R(x,y,z),u). [para(2022(a,1),6770(a,1,2))]. 6791 K(x \ (y * z),(x \ (y * z)) \ 1) = K(x \ (y * z),z \ (y \ x)). [hyper(4931,a,4714,a)]. 6792 K(x \ (y * z),(y * z) \ x) = K(x \ (y * z),z \ (y \ x)). [hyper(5671,a,6791,a)]. 6793 K(x \ (y * z),z \ (y \ x)) != u | K(x \ (y * z),(y * z) \ x) = u. [para(6791(a,1),5671(a,1))]. 6794 K(((x / y) / z) \ 1,x / (z * y)) = K(x \ (z * y),y \ (z \ x)). [hyper(228,a,3700,a,b,6792,a(flip)),flip(a)]. 6795 K(((x / y) / z) \ 1,(x / y) / z) = K(x \ (z * y),y \ (z \ x)). [hyper(228,a,3496,a,b,6794,a(flip)),flip(a)]. 6796 K((x / y) \ z,z \ (x / y)) = K(x \ (z * y),y \ (z \ x)). [hyper(6084,a,6795,a)]. 6797 K((x / y) \ z,z \ (x / y)) = K(x \ (z * y),(z * y) \ x). [hyper(228,a,6792,a,b,6796,a)]. 6798 K((x \ y) \ z,z \ (x \ y)) != u | K(y \ (x * z),(x * z) \ y) = u. [para(6336(a,2),6793(a,1))]. 6799 T(x,x \ y) \ R(T(x,x \ y),z,u) = x \ (y \ ((R(x,z,u) * (x \ y)) * x)). [hyper(71,a,4741,a(flip),b,4680,a),flip(a)]. 6800 R(R(x,y,z),y * z,K(z,u)) = ((x * y) * T(z,u)) / (y * T(z,u)). [para(5199(a,1),5253(a,1,2)),flip(a)]. 6801 R(R(x,y,z),y * z,K(z,u)) = R(x,y,T(z,u)). [hyper(228,a,30,a,b,6800,a)]. 6802 R(R(x,y,z),y * z,K(z,u)) != w | R(x,y,T(z,u)) = w. [para(6800(a,2),489(a,1))]. 6803 R(R(x,y * z,K(z,u)),y,z) = R(x,y,T(z,u)). [hyper(228,a,46,a,b,6801,a(flip)),flip(a)]. 6804 K(x,x \ y) * K(z,y / (y / x)) = T(y / (y / x),z) \ x. [para(4885(a,1),5584(a,1,1))]. 6805 K((((x * y) \ x) \ 1) \ z,y) = K(z * ((x * y) \ x),y). [hyper(228,a,5563,a(flip),b,5940,a(flip)),flip(a)]. 6807 x \ K((1 / x) \ y,((1 / x) \ y) \ 1) = (y \ 1) \ ((1 / y) * (1 / x)). [para(326(a,1),6032(a,2,2))]. 6808 L(x,y,z * (T(1 / (1 / z),u) \ K(w,z))) = L(x,y,K(w,z) * K(u,z)). [para(3145(a,1),6033(a,1,3))]. 6809 K(x,y * (((z * (u \ 1)) / z) \ 1)) = K(x,y * (u * K(u \ 1,z))). [para(5186(a,1),6157(a,2,2,2))]. 6810 T(x,y) / ((1 / z) \ x) = (1 / z) * K((((z \ 1) \ x) \ 1) \ (z \ 1),y). [para(5896(a,1),6198(a,2,2))]. 6811 T(K(x,y) * K(x,z),K(z,x) * K(y,x)) = ((K(x,z) * K(x,y)) \ 1) \ 1. [para(5989(a,1),6396(a,1,2))]. 6812 (x * (y * ((z \ (y \ (x \ u))) * z))) \ u = K(z,(x * (y * z)) \ u). [para(113(a,1),6407(a,1,1,2,2))]. 6813 ((x * y) * ((z \ ((x * y) \ u)) * z)) \ u = K(z,(x * (y * z)) \ u). [para(4608(a,2),6812(a,1,1))]. 6814 T(x,(1 / (1 / y)) \ ((z \ 1) * u)) = T(x,1 / ((u \ z) * y)). [para(64(a,1),6459(a,1,2,2,1,2)),flip(a)]. 6815 T(x,(1 / (1 / y)) \ ((z \ 1) * u)) = T(x,((u \ z) * y) \ 1). [hyper(228,a,3102,a(flip),b,6814,a)]. 6816 T(x,(1 / (1 / y)) \ ((z \ 1) * u)) = T(x,y \ ((u \ z) \ 1)). [para(118(a,1),6815(a,2,2))]. 6817 (x * T(y,L(z,y,x))) \ (x * (y * (z * K(y,z)))) = L(z,y,x). [para(4756(a,1),6463(a,1,1,2))]. 6818 (x * T(y,L(z,y,x))) \ (x * (T(y,z) * z)) = L(z,y,x). [para(4735(a,1),6817(a,1,2,2))]. 6819 ((x * (y \ 1)) \ z) \ (y / x) = z \ K(x * (y \ 1),y / x). [para(3256(a,1),6544(a,1,2)),flip(a)]. 6820 ((x * (y \ 1)) \ z) \ (y / x) = z \ K(x / y,y / x). [para(5633(a,1),6819(a,2,2))]. 6821 ((x * (y \ 1)) \ z) \ (y / x) = z \ K(y \ x,x \ y). [para(3300(a,1),6820(a,2,2))]. 6822 (1 / x) * K(((1 / x) \ y) \ 1,z) = K((y * x) \ 1,z) / x. [para(64(a,1),6578(a,1,1,1,1,2)),flip(a)]. 6823 (1 / x) * K(y \ (1 / x),z) = K((y * x) \ 1,z) / x. [para(5601(a,1),6822(a,1,2))]. 6824 K((x * y) \ 1,x * y) = K(x \ (1 / y),x * y). [hyper(17,a,3459,a,b,6823,a),flip(a)]. 6825 (1 / x) * K(y \ (x \ 1),z) = K((y * x) \ 1,z) / x. [para(5356(a,1),6823(a,1,2))]. 6826 K((x * (y \ 1)) \ 1,x * (y \ 1)) = K(x \ y,x * (y \ 1)). [para(61(a,1),6824(a,2,1,2))]. 6827 (x * K((y / x) \ 1,y / x)) * (x \ 1) = K(y \ x,y * (x \ 1)). [hyper(228,a,3388,a,b,6826,a(flip)),flip(a)]. 6828 (x * K(y \ x,x \ y)) * (x \ 1) = K(y \ x,y * (x \ 1)). [para(3297(a,1),6827(a,1,1,2))]. 6829 K(x \ y,x * (y \ 1)) = K(x \ y,y \ x). [hyper(3534,a,6828,a),flip(a)]. 6830 K(x \ (y \ 1),x * T(y,y \ 1)) = K(x \ (y \ 1),(y \ 1) \ x). [para(114(a,2),6829(a,1,2,2))]. 6831 K(x \ (y \ 1),(y \ 1) \ x) = K(x \ (1 / y),x * y). [hyper(228,a,5547,a(flip),b,6830,a(flip))]. 6832 K(x \ (1 / y),x * y) = K(x \ (y \ 1),y * x). [hyper(6168,a,6831,a),flip(a)]. 6833 K((x * y) \ 1,x * y) = K(x \ (y \ 1),y * x). [hyper(228,a,6824,a,b,6832,a(flip)),flip(a)]. 6834 x \ K((1 / x) \ y,y \ (1 / x)) = (y \ 1) \ ((1 / y) * (1 / x)). [para(2443(a,1),6807(a,1,2))]. 6835 (x \ 1) \ ((1 / x) * (1 / y)) = y \ K(y * x,x \ (1 / y)). [para(5634(a,1),6834(a,1,2)),flip(a)]. 6836 (x \ 1) \ ((1 / x) * (1 / y)) = y \ K(y * x,x \ (y \ 1)). [para(5388(a,1),6835(a,2,2))]. 6837 x \ K(x * y,y \ (x \ 1)) = K(y,y \ 1) * (1 / x). [hyper(5951,a,6836,a),flip(a)]. 6838 x \ K(x * y,y \ (x \ 1)) = K(y,y \ 1) / x. [hyper(228,a,3431,a(flip),b,6837,a)]. 6839 (x \ (x * y)) * (1 / (x * y)) = K(y,y \ 1) / x. [hyper(228,a,4365,a(flip),b,6838,a(flip)),flip(a)]. 6840 K(x,x \ 1) / y = x * (1 / (y * x)). [para(13(a,1),6839(a,1,1)),flip(a)]. 6841 (1 / x) * K(y,y \ 1) = y * (1 / (x * y)). [hyper(3455,a,6840,a)]. 6842 K(x * y,y \ (x \ 1)) / z = (x * y) * (1 / (z * (x * y))). [para(118(a,1),6840(a,1,1,2))]. 6843 (x \ y) * (1 / (z * (x \ y))) = K(x \ y,y \ x) / z. [para(2443(a,1),6840(a,1,1)),flip(a)]. 6844 (x * (1 / (y * x))) / z = K(x,x \ 1) / (z * y). [para(6840(a,1),6424(a,1,1))]. 6845 K(x \ 1,x) / (1 / y) = 1 / (x * (1 / (y * x))). [para(6841(a,1),4898(a,1,2)),flip(a)]. 6846 (x * (1 / (y * x))) / z = x * (1 / ((z * y) * x)). [hyper(228,a,6840,a(flip),b,6844,a)]. 6847 1 / (x * (1 / (y * x))) = (x \ 1) * (x / (1 / y)). [hyper(228,a,3463,a(flip),b,6845,a(flip))]. 6848 x * (1 / (((1 / T(y,x)) * y) * x)) = K(x,x \ (y \ 1)). [hyper(228,a,6462,a(flip),b,6846,a(flip))]. 6849 (x \ y) * (1 / ((z * x) * (x \ y))) = ((x \ y) * (1 / y)) / z. [para(14(a,1),6846(a,1,1,2,2)),flip(a)]. 6850 T(x * (1 / ((y * z) * x)),y) != u | y \ (x * (1 / (z * x))) = u. [para(6846(a,1),647(a,1,1))]. 6851 (x * ((1 / x) * K(y,z))) / u = x * (1 / ((u * K(z,y)) * x)). [para(5048(a,1),6846(a,1,1,2))]. 6852 K(x \ y,y \ x) / x = (x \ y) * (1 / y). [para(14(a,1),6843(a,1,2,2)),flip(a)]. 6853 ((x \ y) * (1 / y)) * x = K(x \ y,y \ x). [para(6852(a,1),16(a,1,1))]. 6854 (x \ (x / y)) * (1 / (x / y)) = K(x \ (x / y),y) / x. [para(64(a,1),6852(a,1,1,2)),flip(a)]. 6855 ((x \ (y \ z)) * ((1 / z) * y)) * x = K(x \ (y \ z),(y \ z) \ x). [para(326(a,1),6853(a,1,1,2))]. 6856 x * (1 / (K(x,y) * x)) = K(x,x \ (y \ 1)). [para(4646(a,2),6848(a,1,2,2,1))]. 6857 K(x,x \ (y \ 1)) = x * (1 / T(x,y)). [para(4712(a,2),6856(a,1,2,2)),flip(a)]. 6858 K(x,x \ (y \ 1)) = x * (K(y,x) / x). [hyper(228,a,4804,a,b,6857,a)]. 6859 K(T(x,y),T(x,y) \ (z \ 1)) != u | x * (K(x,y) * (1 / T(T(x,y),z))) = u. [para(6857(a,2),5727(a,1))]. 6860 (x \ (x / y)) * (1 / (x / y)) = K(y \ 1,y) / x. [para(2804(a,1),6854(a,2,1))]. 6861 x \ K(y \ x,x \ y) = K(y \ 1,y) / x. [hyper(228,a,4366,a(flip),b,6860,a(flip)),flip(a)]. 6863 K(x \ 1,x) / y = x \ (1 / (y / x)). [hyper(228,a,6233,a(flip),b,6861,a(flip))]. 6864 x * (K(y \ 1,y) / x) = K(y \ x,x \ y). [para(6861(a,1),14(a,1,2))]. 6865 x \ (1 / (y / x)) = (x \ 1) * (x / y). [hyper(228,a,3463,a(flip),b,6863,a(flip))]. 6866 (x \ 1) * (x / (y * x)) = x \ (1 / y). [para(15(a,1),6865(a,1,2,2)),flip(a)]. 6867 x \ (1 / ((y * K(z \ 1,z)) / x)) = (x \ 1) * ((x / y) * K(z,z \ 1)). [para(4374(a,1),6865(a,2,2))]. 6868 (x \ 1) * (1 / ((y * x) * (x \ 1))) = x \ (1 / y). [para(259(a,2),6866(a,1,2))]. 6869 K((x \ y) \ z,z \ (x \ y)) = z * (K(y \ x,x \ y) / z). [para(2786(a,1),6864(a,1,2,1)),flip(a)]. 6870 K((x / y) \ z,z \ (x / y)) = z * (K(x \ y,y \ x) / z). [para(3297(a,1),6864(a,1,2,1)),flip(a)]. 6871 x * ((y \ 1) * (y / x)) = K(y \ x,x \ y). [para(3463(a,1),6864(a,1,2))]. 6872 K(x,(y \ (1 / z)) \ u) = K(x,(z * y) * u). [para(6868(a,1),6197(a,1,2,1))]. 6873 K(x \ y,y \ x) / (z * x) = ((x \ y) * (1 / y)) / z. [hyper(228,a,6843,a(flip),b,6849,a(flip)),flip(a)]. 6874 (x * ((1 / x) * K(y \ 1,y))) / z = x * (1 / (z * (x * K(y,y \ 1)))). [para(4407(a,1),6851(a,2,2,2))]. 6875 x * (1 / ((y * K(z \ 1,z)) * x)) = (x * (z * (1 / (x * z)))) / y. [para(6841(a,1),6851(a,1,1,2)),flip(a)]. 6876 K(x \ (y * z),(y * z) \ x) = z * (K(x \ y,y \ x) / z). [hyper(6798,a,6869,a)]. 6877 x \ K(y \ (x * z),(x * z) \ y) = K(y \ z,z \ y) / x. [hyper(71,a,6797,a(flip),b,6870,a(flip))]. 6878 K((x / y) \ z,z \ (x / y)) = K(x \ (y * z),(y * z) \ x). [hyper(228,a,6870,a,b,6876,a),flip(a)]. 6879 x * ((1 / x) * K(y \ z,z \ y)) = K(y \ (z * x),(z * x) \ y). [para(3533(a,2),6876(a,2,2)),flip(a)]. 6880 K((1 / x) \ (y \ z),1 / (x * T(y \ z,z \ y))) = (((1 / x) \ (y \ z)) * ((1 / z) * y)) * (1 / x). [para(5684(a,2),6855(a,2,2)),flip(a)]. 6881 T(x,y) / ((1 / z) \ x) = K(((((z \ 1) \ x) \ 1) * z) \ 1,y) / z. [hyper(228,a,6825,a(flip),b,6810,a)]. 6882 T(x,y) / ((1 / z) \ x) = K(x,y) / z. [para(6382(a,1),6881(a,2,1))]. 6884 T(K(x,y) * K(x,z),K(z,x) * K(y,x)) = (K(z,x) * K(y,x)) \ 1. [para(6005(a,1),6811(a,2,1))]. 6885 T(K(x,y) * K(x,z),K(z,x) * K(y,x)) = K(x,y) * K(x,z). [hyper(228,a,5126,a(flip),b,6884,a)]. 6886 K(K(x,y) * K(x,z),K(z,x) * K(y,x)) = 1. [hyper(36,a,6885,a)]. 6887 K(K(x,y) * K(x,z),(K(x,y) * K(x,z)) \ 1) = 1. [para(5126(a,2),6886(a,1,2))]. 6888 K((K(x,y) * K(x,z)) \ 1,K(x,y) * K(x,z)) = 1. [hyper(70,a,6887,a,b,4886,a),flip(a)]. 6890 L(x * 1,K(y,z) * K(y,u),(K(y,z) * K(y,u)) \ 1) = ((K(y,z) * K(y,u)) \ 1) * ((K(y,z) * K(y,u)) * x). [para(6888(a,1),3091(a,1,1,2))]. 6891 x \ (1 / (K(y \ 1,y) * (z / x))) = (x \ 1) * ((x / z) * K(y,y \ 1)). [para(3486(a,1),6867(a,1,2,2))]. 6892 x * (1 / (y * (x * K(z,z \ 1)))) = (x * (K(z \ 1,z) / x)) / y. [para(3459(a,1),6874(a,1,1,2)),flip(a)]. 6893 (x * (K(y \ 1,y) / x)) / z = x * (K(y \ 1,y) / (z * x)). [para(5139(a,1),6892(a,1,2)),flip(a)]. 6894 x * (K(y \ 1,y) / (z * x)) = K(y \ x,x \ y) / z. [para(6864(a,1),6893(a,1,1)),flip(a)]. 6895 x \ ((1 / (y / x)) * K(z,z \ 1)) = (x \ 1) * ((x / y) * K(z,z \ 1)). [para(5048(a,1),6891(a,1,2))]. 6896 (x \ 1) * ((x / y) * K(z,z \ 1)) = x \ (z * (1 / ((y / x) * z))). [para(6841(a,1),6895(a,1,2)),flip(a)]. 6897 x \ (y * (1 / ((z / x) * y))) = ((x \ y) * (1 / y)) * (x / z). [hyper(228,a,4531,a(flip),b,6896,a(flip))]. 6898 (x * y) * (z * (L(y \ 1,y,x) / z)) = (x * y) * (z * (((x * y) \ x) / z)). [hyper(228,a,4498,a(flip),b,4516,a(flip))]. 6899 R((x \ (1 / y)) * x,y,z) * (y * z) = (y * z) * ((x \ ((y * z) \ z)) * x). [para(3551(a,2),4518(a,1,1))]. 6900 T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)) = L(z,T(x / T(z,y),z),z). [para(5287(a,1),5294(a,2,2))]. 6901 K(x,R(y,z,u) \ 1) * (z * u) = (K(x,y \ 1) * z) * u. [para(5364(a,1),5367(a,2,1))]. 6902 R(K(x,y \ 1),z,u) = K(x,R(y,z,u) \ 1). [hyper(18,a,109,a,b,6901,a),flip(a)]. 6903 K(x,R(y,x,z) \ 1) = K(x,y \ 1). [hyper(18,a,3856,a(flip),b,6901,a)]. 6904 (x * y) / ((K(z,u \ 1) * x) * y) != w | K(R(u,x,y) \ 1,z) = w. [para(6901(a,1),5047(a,1,2))]. 6905 K(x,R(R(y,x,z),u,w) \ 1) = K(x,R(y,u,w) \ 1). [para(46(a,1),6903(a,1,2,1))]. 6907 K(x,R(y \ 1,z,u) \ 1) = R(K(x,y),z,u). [para(3236(a,1),6902(a,1,1)),flip(a)]. 6908 K(x,R(y / z,u,w) \ 1) = R(K(x,z / y),u,w). [para(5410(a,1),6902(a,1,1)),flip(a)]. 6909 K(x,R(y \ z,u,w) \ 1) = R(K(x,z \ y),u,w). [para(5558(a,1),6902(a,1,1)),flip(a)]. 6910 T(x,R(y \ 1,z,u) \ 1) = x * R(K(x,y),z,u). [para(6907(a,1),4705(a,2,2))]. 6911 R(K(x,y),z,u) \ w = R(K(y,x),z,u) * w. [para(6907(a,1),6125(a,1,1)),flip(a)]. 6912 (x * R(K(y,z),u,w)) \ x = R(K(z,y),u,w). [hyper(4561,a,6911,a)]. 6913 R(K(x,y),z,u) \ 1 = R(K(y,x),z,u). [hyper(2697,a,6911,a)]. 6914 (x * y) / ((K(z,u) * x) * y) = R(K(u,z),x,y). [hyper(567,a,6911,a)]. 6915 R(K(x,y),z,u) \ (z * u) = (K(y,x) * z) * u. [hyper(228,a,109,a(flip),b,6911,a)]. 6916 R(K(x,y),y / x,z) * ((y / T(x,y)) * z) = (y / x) * z. [hyper(228,a,5210,a(flip),b,6911,a(flip))]. 6917 R(K(x,y),z,u) \ 1 != w | R(K(y,x),z,u) = w. [para(6911(a,2),81(a,1)),flip(b)]. 6918 (R(K(x,y),z,u) \ K(R(K(x,y),z,u) * w,R(K(y,x),z,u))) \ w = w / (R(K(x,y),z,u) \ 1). [para(6913(a,1),6096(a,1,1,2,2))]. 6919 K(x,R(y,y \ z,u)) = R(K(x,y),z,u). [hyper(6737,a,6912,a)]. 6920 (x * R(K(y,z),u,w)) * R(K(z,y),u,w) = x. [para(6912(a,1),14(a,1,2))]. 6922 K(x,R(y,T(y,x) \ z,u)) = R(K(x,T(y,x)),z,u). [hyper(4944,a,6919,a)]. 6923 R(K(x,y),y * z,u) = K(x,R(y,z,u)). [para(13(a,1),6919(a,1,2,2)),flip(a)]. 6924 R(K(x,R(y,z,u)),(y * z) * u,w) = K(x,R(R(y,z,u),z * u,w)). [para(141(a,1),6919(a,1,2,2)),flip(a)]. 6925 K(x,(y * z) / ((u \ y) * z)) = R(K(x,u),y,z). [para(107(a,1),6919(a,1,2))]. 6926 R(K(x,y),T(y,z),u) = K(x,y). [para(3793(a,1),6919(a,1,2)),flip(a)]. 6927 R(K(x,y),K(z,y) * u,w) = K(x,R(y,T(y,z) \ u,w)). [para(4997(a,1),6919(a,1,2,2)),flip(a)]. 6928 (K(x,y) * T(y,z)) * u = K(x,y) * (T(y,z) * u). [para(6926(a,1),109(a,1,1)),flip(a)]. 6929 K(x,y) != z | R(K(x,y),y,u) = z. [para(6926(a,1),6082(a,1))]. 6930 K(x * y,R(x,y,z)) = K(x * y,x). [hyper(4142,a,6923,a),flip(a)]. 6931 K(R(x,y * z,u) \ 1,y) = K(x \ 1,R(y,z,u)). [hyper(228,a,6117,a(flip),b,6923,a(flip)),flip(a)]. 6932 R(T(K(x,y),z),y * u,w) = T(K(x,R(y,u,w)),z). [para(6923(a,1),42(a,2,1))]. 6933 K(x,R(y,z,u)) * ((y * z) * u) = (y * (K(x,y) * z)) * u. [para(6923(a,1),5473(a,1,1))]. 6934 (x * R(K(y,z),u,w)) \ x != v5 | R(K(z,y),u,w) = v5. [para(6920(a,1),284(a,1,2)),flip(b)]. 6935 ((x \ 1) * y) / ((x \ K(x,z)) * y) = R(K(z,x),x \ 1,y). [para(2695(a,1),6914(a,1,2,1))]. 6936 R(K(x,y / z),y,u) = K(x,(y * u) / (z * u)). [para(64(a,1),6925(a,1,2,2,1)),flip(a)]. 6937 R(K(x,(y / z) / u),y / z,z) = K(x,y / (u * z)). [para(16(a,1),6936(a,2,2,1))]. 6938 R(K(x,y / (z / u)),y,u) = K(x,(y * u) / z). [para(16(a,1),6936(a,2,2,2))]. 6939 R(K(x,R(y,z,u) \ y),y,w) = K(x,(y * w) / (R(y,z,u) * w)). [para(3527(a,1),6936(a,1,1,2))]. 6940 R(K(x,(y / z) \ x),x,z) = K(x,(x * z) / y). [para(5108(a,1),6938(a,1,1))]. 6941 K(x,(x * y) / z) = K(x,(z / y) \ x). [hyper(4142,a,6940,a),flip(a)]. 6942 R(K(x,(y / z) \ x),x,z) = K(x,(y / (x * z)) \ 1). [hyper(228,a,5410,a,b,6940,a)]. 6943 K(x,(x * y) / z) != u | K(x,(z / y) \ x) = u. [para(6940(a,1),4142(a,1))]. 6945 K(x,(L(y,z,u) / y) \ x) = K(x,(x / L(y,z,u)) * y). [para(1538(a,1),6941(a,1,2)),flip(a)]. 6946 R(K(x,y / z),y,y \ 1) = K(x,(z * (y \ 1)) \ 1). [para(495(a,1),6908(a,1,2,1)),flip(a)]. 6947 K(x,R(y,T(y,x) \ z,u)) = R(K(x,y),z,u). [para(4871(a,1),6922(a,2,1))]. 6948 L(x,T(y,z),K(u,y)) = x. [hyper(445,a,6928,a)]. 6949 K(x,R(y / x,x * z,u) \ 1) = K(x,(((y * z) * u) / ((x * z) * u)) \ 1). [para(505(a,1),6905(a,1,2,1)),flip(a)]. 6950 K(x,R(y,y \ z,u)) != w | R(K(x,y),z,u) = w. [para(6736(a,2),6934(a,1))]. 6951 K(x,R(y,T(z,y),u)) != w | R(K(x,y),z * y,u) = w. [para(32(a,2),6950(a,1,2,2))]. 6952 K(x,R(R(y,z,u),z * u,w)) != v5 | R(K(x,R(y,z,u)),(y * z) * u,w) = v5. [para(141(a,1),6950(a,1,2,2))]. 6953 K(x,R(y,T(y,z) \ u,w)) != v5 | R(K(x,y),K(z,y) * u,w) = v5. [para(4997(a,1),6950(a,1,2,2))]. 6954 R(K(x,y \ x),x,z) = K(x,((y * z) / (x * z)) \ 1). [para(15(a,1),6942(a,1,1,2,1))]. 6955 R(T(K(x,(y / z) \ x),u),x,z) = T(K(x,(y / (x * z)) \ 1),u). [para(6942(a,1),42(a,2,1))]. 6956 K(x,((y \ z) * (z \ 1)) \ 1) = R(K(x,y),z,z \ 1). [para(61(a,1),6946(a,1,1,2)),flip(a)]. 6957 R(K(x / y,z \ (x / y)),x / y,y) = K(x / y,((z * y) / x) \ 1). [para(16(a,1),6954(a,2,2,1,2))]. 6958 R(K(x,y),K(x,y) * z,u) = R(K(x,y),z,u). [hyper(228,a,6947,a(flip),b,6927,a)]. 6959 R(K(x,y),y \ K(y,x),z) = R(K(x,y),y \ 1,z). [para(5039(a,1),6958(a,1,2)),flip(a)]. 6960 (x \ 1) * (R(K(y,x),x \ K(x,y),z) * z) = ((((x \ 1) * (K(y,x) * z)) / ((x \ 1) * z)) * (x \ 1)) * z. [para(6959(a,2),1585(a,2,2,1)),flip(a)]. 6961 K(x,(y \ L(y,z,u)) \ x) = K(x,(x / L(y,z,u)) * y). [para(4596(a,1),6945(a,1,2,1))]. 6962 K(x,L(y,z,u) \ (y * x)) = K(x,(x / L(y,z,u)) * y). [hyper(228,a,6303,a(flip),b,6961,a(flip)),flip(a)]. 6963 K(x,(x / L(y,z,u)) * y) = K(x,y * (L(y,z,u) \ x)). [para(1363(a,1),6962(a,1,2)),flip(a)]. 6964 R(K(x \ 1,y),z,u) != w | K(R(x,z,u) \ 1,y) = w. [para(6914(a,1),6904(a,1))]. 6965 R(K(x * y,x),(x * y) * z,u) = K(x * y,R(R(x,y,z),y * z,u)). [para(6930(a,1),6924(a,1,1))]. 6966 K((x / y) \ 1,z \ (y / x)) = K(y / x,((z * x) / y) \ 1). [hyper(5759,a,6957,a)]. 6967 K((x / y) \ 1,z \ (y / x)) = K(y / x,y / (z * x)). [hyper(228,a,5410,a(flip),b,6966,a)]. 6968 K(x / y,x / (z * y)) != u | K(x / y,z \ (x / y)) = u. [para(6967(a,1),6063(a,1))]. 6969 K(x * y,R(R(x,y,z),y * z,u)) = K(R(x * y,z,u),x). [hyper(228,a,6734,a(flip),b,6965,a(flip))]. 6970 K(R(R(x,y,z),y * z,u),x * y) = w / (K(R(x * y,z,u),x) * w). [para(6969(a,1),5040(a,1,2,1)),flip(a)]. 6971 K(R(R(x,y,z),y * z,u),x * y) != w | K(x,R(x * y,z,u)) = w. [para(6970(a,2),5047(a,1))]. 6972 (x * T(K(y,z),u)) * T(K(z,y),u) = R(x,T(K(y,z),u),T(K(z,y),u)). [para(5967(a,1),5969(a,1,3)),flip(a)]. 6973 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(6972(a,1),20(a,1))]. 6975 T(T(x * K(y * R(x,z,u),x),w),y) = R(T(x,w),y,R(x,z,u)). [para(13(a,1),6768(a,2,1,1))]. 6976 (x * y) * L(z * ((y \ 1) / z),y,x) = (x * y) * (z * (((x * y) \ x) / z)). [para(4581(a,2),6898(a,1,2))]. 6977 (x * y) * ((z \ ((x * y) \ y)) * z) = (((z \ (1 / x)) * z) * x) * y. [hyper(221,a,6899,a),flip(a)]. 6978 (x * y) * ((z \ ((x * y) \ y)) * z) = K(x \ (z \ 1),z) * y. [para(5828(a,1),6977(a,2,1))]. 6979 K(x,y / (x / ((z * y) \ 1))) = y / (K(z \ (x \ 1),x) * y). [para(6978(a,1),6164(a,1,2)),flip(a)]. 6980 K(x,y / (x / ((z * y) \ 1))) = K(x,z \ (x \ 1)). [hyper(228,a,5040,a(flip),b,6979,a)]. 6982 K(x,y / (x * (z * y))) = K(x,z \ (x \ 1)). [hyper(228,a,6457,a(flip),b,6980,a(flip)),flip(a)]. 6983 T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)) = L(z,x / T(z,y),z). [hyper(228,a,4124,a(flip),b,6900,a)]. 6984 K(x,R(y / x,x * z,u) \ 1) = K(x,((x * z) * u) / ((y * z) * u)). [hyper(228,a,5410,a(flip),b,6949,a)]. 6985 R(K(x,x / y),x * z,u) = K(x,((x * z) * u) / ((y * z) * u)). [hyper(228,a,6908,a(flip),b,6984,a(flip)),flip(a)]. 6986 R(K(x,y \ x),x * z,u) = K(x,((x * z) * u) / ((y * z) * u)). [para(5108(a,1),6985(a,1,1))]. 6987 K(x,((x * y) * z) / ((u * y) * z)) = K(R(x,y,z),u \ x). [hyper(228,a,6734,a(flip),b,6986,a(flip))]. 6988 K(R(x,x \ y,z),u \ x) = K(x,(y * z) / ((u * (x \ y)) * z)). [para(14(a,1),6987(a,1,2,1,1)),flip(a)]. 6989 K(x,((y * z) * R(x,y,z)) / ((u * (K(y * z,x) * y)) * z)) = K(R(x,K(y * z,x) * y,z),u \ x). [para(5699(a,1),6987(a,1,2,1))]. 6990 K(x,(y * z) / ((u * (x \ y)) * z)) = R(K(x,u \ x),y,z). [hyper(228,a,6732,a(flip),b,6988,a(flip))]. 6991 (x * y) * (z * (((x * y) \ x) / z)) = x * (y * (z * ((y \ 1) / z))). [hyper(218,a,6976,a),flip(a)]. 6992 (x \ (y * (T(z,x) \ z))) * x = ((x \ y) * x) * (T(z,x) \ z). [para(166(a,1),4496(a,1,1)),flip(a)]. 6994 ((x \ y) * x) * (T(z,x) \ z) = (x \ (y * K(x,z))) * x. [para(4641(a,2),6992(a,1,1,2,2)),flip(a)]. 6995 (x \ (y * K(x,z))) * x = ((x \ y) * x) * K(x,z). [para(4641(a,2),6994(a,1,2)),flip(a)]. 6997 x \ (y * K(x,z)) = (x \ y) * K(x,z). [hyper(18,a,5242,a,b,6995,a)]. 6998 T((x / y) * K(y,z),y) = (y \ x) * K(y,z). [hyper(6067,a,6997,a)]. 6999 x * ((x \ y) * K(x,z)) = y * K(x,z). [para(6997(a,1),14(a,1,2))]. 7001 (x * y) * K(x,z) = x * (y * K(x,z)). [para(13(a,1),6999(a,1,2,1)),flip(a)]. 7002 K(x,(x \ y) \ z) = K(x,y \ (x * z)). [hyper(6566,a,7001,a),flip(a)]. 7003 x * ((y \ 1) * K(x,z)) = (y / x) \ K(x,z). [hyper(5728,a,7001,a),flip(a)]. 7004 R(x,y,K(x,z)) = x. [hyper(476,a,7001,a)]. 7005 L(K(x,y),z,x) = K(x,y). [hyper(445,a,7001,a)]. 7006 T(x,y) * T(z,K(x,y)) = (x * z) * K(x,y). [hyper(228,a,4984,a,b,7001,a),flip(a)]. 7007 a(x,y,K(x,z)) = 1. [hyper(70,a,7001,a(flip),b,89,a),flip(a)]. 7008 (x * (y * K(x,z))) * x = (x * y) * T(x,z). [para(7001(a,1),5177(a,1,1))]. 7009 R(T(x,y),z,K(x,u)) = T(x,y). [para(7004(a,1),42(a,2,1))]. 7010 (T(x,y) * z) * K(x,u) = T(x,y) * (z * K(x,u)). [para(7004(a,1),481(a,1,1,1)),flip(a)]. 7011 (L(x,y,z) * u) * K(x,w) = L(x,y,z) * (u * K(x,w)). [para(7004(a,1),482(a,1,1,1)),flip(a)]. 7012 (R(x,y,z) * u) * K(x,w) = R(x,y,z) * (u * K(x,w)). [para(7004(a,1),483(a,1,1,1)),flip(a)]. 7013 R(x,y,T(x,z)) = R(x,y,x). [para(7004(a,1),6803(a,1,1)),flip(a)]. 7014 R(K(x,y),z,K(y,u)) = K(x,y). [para(7004(a,1),6919(a,1,2)),flip(a)]. 7015 K(x,(x * y) \ z) = K(x,y \ (x \ z)). [hyper(6781,a,7005,a)]. 7016 K(L(x,y,x),z) = K(x,z). [hyper(6346,a,7005,a)]. 7017 L(K(x,y),z,x) = u \ (u * K(x,y)). [hyper(228,a,13,a,b,7005,a)]. 7018 K(x,L(y,z,x)) = K(x,y). [hyper(228,a,6315,a(flip),b,7005,a(flip)),flip(a)]. 7021 K(T(x / (x / y),x),z) = K(y,z). [para(4009(a,2),7016(a,1,1))]. 7022 K(R(x,y,x),z) = K(x,z). [para(4265(a,1),7016(a,1,1)),flip(a)]. 7023 T(x,L(y,z,y)) = x / K(y,x). [para(7016(a,1),4658(a,2,2))]. 7024 (x * K(y,x)) * L(y,z,y) = L(y,z,y) * x. [para(7016(a,1),4715(a,1,1,2))]. 7025 K(x,y) * L(x,z,x) = L(T(x,y),z,x). [para(7016(a,1),4781(a,1,1))]. 7026 K(x,L(L(y,z,x),u,w)) = K(x,L(y,u,w)). [para(45(a,1),7018(a,1,2))]. 7027 K(x,T((x \ y) \ z,u)) = K(x,T(y \ (x * z),u)). [para(712(a,1),7018(a,1,2)),flip(a)]. 7028 T(x,L(y,z,x)) = K(x,y) * x. [para(7018(a,1),4712(a,2,1))]. 7029 K(x,K(y,L(z,u,x))) = K(x,K(y,z)). [para(6315(a,1),7018(a,1,2))]. 7030 K(L(x,y,z),L(u,w,x)) = L(K(x,u),y * x,z). [para(7018(a,1),6341(a,1,1)),flip(a)]. 7031 K(x,(y * (x / y)) \ (x * z)) = K(x,K(y \ x,y) * z). [para(6660(a,1),7018(a,1,2))]. 7032 R(K(x,y),z,x) = K(x,y). [hyper(228,a,6732,a(flip),b,7022,a(flip)),flip(a)]. 7033 K((x \ y) \ T(y,x),z) = K(x,z). [para(4044(a,1),7022(a,1,1))]. 7034 K(T(x,x * y),z) = K(T(x,y),z). [para(4082(a,1),7022(a,1,1)),flip(a)]. 7035 K(T(x,x \ y),z) = K(T(x,y),z). [para(4101(a,1),7022(a,1,1))]. 7036 R(x,y,x) * K(x,z) = T(R(x,y,x),z). [para(7022(a,1),4705(a,2,2)),flip(a)]. 7037 x * K(R(x,y,x),z) = T(x,z). [para(7022(a,2),4705(a,2,2)),flip(a)]. 7038 K(x,R(y,z,y)) = 1 / K(y,x). [para(7022(a,1),4894(a,1,2)),flip(a)]. 7040 K(x,y) * (R(x,z,x) * u) = R(T(x,y),z,x) * u. [para(7022(a,1),5030(a,1,1))]. 7041 K(x,y) * (x \ R(x,z,x)) = x \ R(T(x,y),z,x). [para(7022(a,1),6665(a,1,1))]. 7042 (K(x,y) * z) * x = K(x,y) * (z * x). [para(7022(a,1),6735(a,1,1)),flip(a)]. 7043 K(x,(y * x) / z) = K(x,y / (z / x)). [hyper(228,a,6938,a(flip),b,7032,a(flip)),flip(a)]. 7044 K(x,R(y,z,x)) = K(x,y). [hyper(228,a,6923,a(flip),b,7032,a(flip)),flip(a)]. 7046 (x * (K(y,x) * z)) * y = K(y,x) * ((x * z) * y). [para(7032(a,1),5473(a,1,1)),flip(a)]. 7047 T(x,R(y,z,x)) = x * K(x,y). [para(7044(a,1),4705(a,2,2))]. 7048 K(x,K(y,R(z,u,x))) = K(x,K(y,z)). [para(6923(a,1),7044(a,1,2))]. 7051 R(x / y,z,x / y) = R(x / y,z,y \ x). [para(115(a,1),7013(a,1,3)),flip(a)]. 7052 R(x,y,(x \ z) \ z) = R(x,y,x). [para(114(a,1),7013(a,1,3))]. 7057 T(x,y * K(x,z)) = T(x,y). [hyper(228,a,5505,a(flip),b,7009,a(flip))]. 7058 R(T(x,y),z,T(x,u)) = R(T(x,y),z,x). [para(7009(a,1),6803(a,1,1)),flip(a)]. 7061 K(x,y * K(x,z)) = x \ T(x,y). [hyper(71,a,7057,a(flip),b,4705,a(flip)),flip(a)]. 7062 (x * K(y,z)) * L(T(y,x),u,w) = L(y,u,w) * (x * K(y,z)). [para(7057(a,1),183(a,1,2,1))]. 7063 T(x * K(y,z),L(T(y,x),u,w)) = T(x * K(y,z),L(y,u,w)). [para(7057(a,1),3943(a,1,2,1))]. 7065 T(x,y * K(z,x)) = T(x,y). [para(5062(a,1),7057(a,1,2)),flip(a)]. 7067 T(x,y \ K(x,z)) = T(x,y \ 1). [para(5131(a,1),7057(a,1,2))]. 7068 T(x,y / T(x,z)) = T(x,y / x). [para(5180(a,1),7057(a,1,2)),flip(a)]. 7069 T(x,y * T(x,z)) = T(x,y * x). [para(5199(a,1),7057(a,1,2))]. 7070 T(x,y / (z / x)) = T(x,y / (x \ z)). [para(6015(a,1),7057(a,1,2)),flip(a)]. 7071 T(x,y * L(K(x,z),u,w)) = T(x,y). [para(6100(a,1),7057(a,1,2,2))]. 7072 T(x,y \ T(z,x)) = T(x,y \ z). [para(6160(a,1),7057(a,1,2)),flip(a)]. 7073 T(x,y \ T(x,z)) = T(x,y \ x). [para(6265(a,1),7057(a,1,2))]. 7075 T(x,y * (z * x)) = T(x,y * (x * z)). [para(6344(a,1),7057(a,1,2)),flip(a)]. 7077 K(L(x,y,z),u * K(w,x)) = L(x,y,z) \ L(T(x,u),y,z). [para(7065(a,1),4706(a,1,2,1)),flip(a)]. 7078 (K(x,y) * z) * K(y,u) = K(x,y) * (z * K(y,u)). [para(7014(a,1),109(a,1,1)),flip(a)]. 7079 T(x,L(y,z,y)) = T(x,y). [hyper(228,a,4658,a,b,7023,a)]. 7080 T(x,L(y,z,y)) = x * K(x,y). [hyper(228,a,5063,a(flip),b,7023,a)]. 7081 T(x,L(y,z,y)) != u | T(x,y) = u. [para(7023(a,2),4661(a,1))]. 7082 T(x / L(y,z,y),y) = L(y,z,y) \ x. [hyper(647,a,7079,a),flip(a)]. 7086 T(x,T(y / z,y)) = T(x,z \ y). [para(4011(a,1),7079(a,1,2))]. 7087 T(x,R(y,z,y)) = T(x,y). [para(4265(a,1),7079(a,1,2)),flip(a)]. 7088 T(x / R(y,z,y),y) = R(y,z,y) \ x. [hyper(647,a,7087,a),flip(a)]. 7089 T(x / y,R(y,z,y)) = y \ x. [hyper(228,a,115,a(flip),b,7087,a)]. 7090 R(x,y,x) * T(z,x) = z * R(x,y,x). [para(7087(a,1),113(a,1,2))]. 7092 T(x,T(y,y \ z)) = T(x,T(y,z)). [para(4101(a,1),7087(a,1,2))]. 7093 T(x,(y * z) / y) = T(x,y / (y / z)). [para(4273(a,1),7087(a,1,2))]. 7094 T(x,L(y,z,x)) = T(x,y). [hyper(228,a,4712,a,b,7028,a)]. 7095 T(x,(x * y) \ z) = T(x,y \ (x \ z)). [para(222(a,1),7094(a,1,2))]. 7096 T(x,(x \ y) \ z) = T(x,y \ (x * z)). [para(458(a,1),7094(a,1,2)),flip(a)]. 7097 R((x * y) / x,z,y) \ y = R(y,z,y) \ T(y,x). [hyper(71,a,7037,a(flip),b,6790,a),flip(a)]. 7098 K(x,R(y,z,y)) = K(x,y). [hyper(228,a,4894,a(flip),b,7038,a)]. 7099 K(x,R(y,z,y)) != u | K(x,y) = u. [para(7038(a,2),4897(a,1))]. 7100 R(K(x,y),z,y) = K(x,y). [hyper(6950,a,7098,a)]. 7101 K(x,T(y,y * z)) = K(x,T(y,z)). [para(4082(a,1),7098(a,1,2)),flip(a)]. 7102 K(x,T(y,y \ z)) = K(x,T(y,z)). [para(4101(a,1),7098(a,1,2))]. 7103 R(x * K(y,x),z,x) = R(x,z,x) * K(y,x). [para(7098(a,1),5822(a,1,2)),flip(a)]. 7104 (K(x,y) * z) * y = K(x,y) * (z * y). [para(7100(a,1),109(a,1,1)),flip(a)]. 7106 T(x,R(y,z,x)) = T(x,y). [hyper(228,a,4705,a,b,7047,a)]. 7107 T(x,(y * x) / z) = T(x,y / (z / x)). [para(497(a,1),7106(a,1,2))]. 7108 T(x,T((y * x) / z,u)) = T(x,T(y / (z / x),u)). [para(717(a,1),7106(a,1,2))]. 7109 T(x,T((y * x) / z,z / x)) = T(x,(z / x) \ y). [para(720(a,1),7106(a,1,2))]. 7113 K(x,L(y,z,y)) = K(x,y). [hyper(4771,a,7080,a)]. 7114 L(K(x,y),z,y) = K(x,y). [hyper(6323,a,7113,a)]. 7115 K(x,T(y / z,y)) = K(x,z \ y). [para(4011(a,1),7113(a,1,2))]. 7116 (x * y) * K(z,x) = x * (y * K(z,x)). [para(7113(a,1),6316(a,1,2))]. 7117 K(L(x,y,z),z) = K(x,z). [hyper(6346,a,7114,a)]. 7118 K((x * y) \ z,x) = K(y \ (x \ z),x). [hyper(228,a,6329,a(flip),b,7114,a(flip)),flip(a)]. 7119 K((x \ y) \ z,x) = K(y \ (x * z),x). [hyper(228,a,6328,a(flip),b,7114,a(flip))]. 7121 K(L(L(x,y,z),u,w),z) = K(L(x,u,w),z). [para(45(a,1),7117(a,1,1))]. 7122 T(x * K(y,x),L(y,z,x)) = x. [para(7117(a,1),4674(a,1,1,2))]. 7123 K((x * (y / x)) \ (y * z),y) = K(K(x \ y,x) * z,y). [para(6660(a,1),7117(a,1,1))]. 7124 R(x,y,x) * (x \ z) = (z / x) * R(x,y,x). [para(7089(a,1),113(a,1,2))]. 7125 K(x,R(y,z,y)) * ((u / y) * R(y,z,y)) = R(y,z,y) * (K(x,R(y,z,y)) * (y \ u)). [para(7089(a,1),5470(a,1,2,2)),flip(a)]. 7126 K((x \ y) \ y,z) = K(T(x,y),z). [para(138(a,1),7021(a,1,1,1)),flip(a)]. 7127 K(T(x,y * x),z) = K(T(x,y),z). [para(4066(a,2),7034(a,1,1))]. 7128 K(x,y * K(x,z)) = K(x,y). [hyper(228,a,4649,a,b,7061,a)]. 7129 K(x,y * K(x,z)) != u | K(x,y) = u. [para(7061(a,2),4773(a,1))]. 7130 K(x,K(y,x * K(y,z))) = 1. [para(7128(a,2),2503(a,1,2))]. 7131 K(x,y * K(z,x)) = K(x,y). [para(5062(a,1),7128(a,1,2)),flip(a)]. 7132 K(x,y \ K(z,x)) = K(x,y \ 1). [para(4895(a,1),7128(a,1,2)),flip(a)]. 7133 K(x,y / (z / x)) = K(x,y / (x \ z)). [para(6015(a,1),7128(a,1,2)),flip(a)]. 7134 K(x,y * L(K(x,z),u,w)) = K(x,y). [para(6100(a,1),7128(a,1,2,2))]. 7135 K(x,y \ T(x,z)) = K(x,y \ x). [para(6265(a,1),7128(a,1,2))]. 7136 K(x,T(K(y,x) * z,u)) = K(x,T(z,u)). [para(6583(a,1),7128(a,1,2)),flip(a)]. 7137 x \ R(x,y * K(x,z),x) = K(x,y) * K(y * T(x,z),x). [para(7128(a,1),5778(a,1,1)),flip(a)]. 7138 K(x * K(y,z),z) = 1 / K(z,x). [para(7131(a,1),4894(a,1,2)),flip(a)]. 7139 R(K(x,y),y * K(z,x),u) = K(x,y * K(z,x)). [para(7131(a,1),5702(a,1,1))]. 7140 K(x,y \ T(y * z,x)) = K(x,z). [para(5492(a,2),7131(a,1,2))]. 7141 (x \ K(x,y)) * (T(x,x \ 1) * z) = (K(x,y) / x) * (x * z). [para(7067(a,1),5952(a,1,2,1))]. 7142 K(x,T(y,z / T(y,u))) = T(K(x,y),z). [para(7068(a,2),6216(a,1,2))]. 7143 T(x,(x \ y) * T(x,z)) = T(x,y). [hyper(228,a,4067,a(flip),b,7069,a)]. 7144 T(x,y) / T(y,y \ x) = y \ T(x,y). [para(7072(a,1),199(a,1,2))]. 7145 T(x,T(x,y) / z) = T(x,z \ x). [hyper(6283,a,7073,a)]. 7146 T(x,(y \ z) \ z) = T(x,T(y,z)). [para(61(a,1),7086(a,1,2,1)),flip(a)]. 7147 K(x,T(y,y \ z)) != u | K(x,T(y,z)) = u. [para(4101(a,1),7099(a,1,2))]. 7148 R(K(x,y),z,y) != u | K(x,y) = u. [para(6919(a,1),7099(a,1))]. 7149 K(x,T(y,L(y,z,u) * (y \ w))) = K(x,T(y,L(y,z,u) * w)). [para(1361(a,1),7101(a,1,2,2)),flip(a)]. 7150 K(x,T(y,z \ 1)) = K(x,T(y,z \ y)). [para(1713(a,1),7101(a,1,2)),flip(a)]. 7151 K(x,T(y,z * y)) = K(x,T(y,z)). [para(4066(a,2),7101(a,1,2))]. 7152 K(x,T(y,z)) = T(K(x,y),z). [hyper(228,a,6214,a(flip),b,7102,a(flip))]. 7153 K(x,(y \ z) \ z) = K(x,T(y,z)). [para(114(a,1),7102(a,1,2))]. 7154 K(x,T(y * z,y \ 1)) = K(x,T(y * z,z)). [para(3871(a,1),7102(a,1,2))]. 7155 T(K(x * y,x),y) = K(x * y,x). [hyper(6225,a,7152,a),flip(a)]. 7156 R(T(K(x,(y / z) \ x),u),x,z) = K(x,T((y / (x * z)) \ 1,u)). [hyper(228,a,6955,a,b,7152,a),flip(a)]. 7157 R(T(K(x,y),z),y * u,w) = K(x,T(R(y,u,w),z)). [hyper(228,a,6932,a,b,7152,a),flip(a)]. 7158 L(T(K(x,y \ z),u),y \ z,w) = K(x,T((z \ y) \ 1,u)). [hyper(228,a,6643,a,b,7152,a),flip(a)]. 7159 L(T(K(x,(y \ z) \ u),w),u,y) = K(x,T(z \ (y * u),w)). [hyper(228,a,6310,a,b,7152,a),flip(a)]. 7160 (K(x,y) * z) \ z = K(y,T(x,z)). [hyper(228,a,6010,a,b,7152,a),flip(a)]. 7161 (K(x,y) \ z) \ z = K(x,T(y,z)). [hyper(228,a,6009,a,b,7152,a),flip(a)]. 7162 K(x,y) * K(z,K(y,x)) = K(x,T(y,z)). [hyper(228,a,5974,a,b,7152,a),flip(a)]. 7163 K(x,K(y,z)) * K(z,y) = K(z,T(y,x)). [hyper(228,a,5971,a,b,7152,a),flip(a)]. 7164 K(T(x,y) \ 1,z) = K(x \ 1,T(z,y)). [hyper(228,a,5852,a,b,7152,a),flip(a)]. 7165 K(x,T(y,z) \ 1) = K(x,T(y \ 1,z)). [hyper(228,a,5807,a,b,7152,a),flip(a)]. 7166 K((x \ y) \ y,z) = K(x,T(z,y)). [hyper(228,a,5502,a,b,7152,a),flip(a)]. 7167 x \ (K(y,z) \ x) = K(z,T(y,x)). [hyper(228,a,5044,a,b,7152,a),flip(a)]. 7168 K(x \ K(x,y),T(z,y)) = K(x \ 1,z). [hyper(228,a,6422,a(flip),b,7152,a)]. 7169 K(x,T(y,K(x,z))) = K(x,y). [hyper(228,a,5986,a(flip),b,7152,a)]. 7170 K(x / y,T(z,x)) = K(y \ x,z). [hyper(228,a,5495,a(flip),b,7152,a)]. 7171 K(x,T(y,T(T(x,z),u))) = K(x,y). [hyper(228,a,3168,a(flip),b,7152,a)]. 7172 x * K(y,T(z,u)) = x * T(K(y,z),u). [hyper(21,a,7152,a)]. 7173 K(x,T(T(y,z),u)) = T(K(x,T(y,u)),z). [para(38(a,1),7152(a,1,2))]. 7174 x * K(y,T(z,x)) = K(y,z) * x. [para(7152(a,2),113(a,1,2))]. 7176 x * K(y,T(z,x)) != u | K(y,z) * x = u. [para(7152(a,2),219(a,1,2))]. 7177 x * L(K(y,T(z,x)),u,w) = L(K(y,z),u,w) * x. [para(7152(a,2),183(a,1,2,1))]. 7178 x * (y * K(z,T(u,x * y))) = L(K(z,u),y,x) * (x * y). [para(7152(a,2),584(a,1,2,2))]. 7179 L(K(x,T(y,z \ u)),z \ u,z) != w | u \ (z * (K(x,y) * (z \ u))) = w. [para(7152(a,2),675(a,1,1))]. 7180 T(x,K(y,T(z,x))) = T(x,K(y,z)). [para(7152(a,2),3921(a,1,2))]. 7181 x * T(K(x,y),z) = T(x,T(y,z)). [para(7152(a,1),4705(a,2,2)),flip(a)]. 7182 x * T(K(x,y),z) != u | T(x,T(y,z)) = u. [para(7152(a,1),4708(a,1,2))]. 7183 K(x,y) * (K(z,u) * x) = T(x,y) * K(z,T(u,x)). [para(7152(a,2),4979(a,2,2))]. 7184 K(x / y,T(z,x)) != u | K(y \ x,z) = u. [para(7152(a,2),5790(a,1))]. 7185 K(x,y) * K(y,T(x,z)) = K(z,K(x,y)). [para(7152(a,2),5970(a,1,2))]. 7186 x / K(y,T(z,x)) = K(y,z) \ x. [para(7152(a,2),6008(a,1,2))]. 7187 (K(x,y) * z) * K(y,T(x,z)) = z. [para(7152(a,2),6011(a,1,2))]. 7189 K(x,T(y,z)) \ T(u / (u / K(x,y)),z) = K(K(x,y) \ u,T(K(x,y),z)). [para(7152(a,2),5909(a,1,1))]. 7190 T(K(x,y),y \ 1) != z | K(x,y) = z. [para(7152(a,1),6220(a,1))]. 7191 K(x,T(y / z,y)) != u | K(x,z \ y) = u. [para(7152(a,2),6209(a,1))]. 7192 K(x,K(y,z)) * (K(z,y) * u) = K(z,T(y,x)) * u. [para(7152(a,2),5977(a,2,1))]. 7193 K(x,T(L(y,z / y,u),w)) = T(L(K(x,y),z,u),w). [para(6313(a,1),7152(a,2,1))]. 7194 K(x,T((y \ 1) * ((z \ y) * z),u)) = K(x,K(z \ y,T(z,u))). [para(7152(a,2),6195(a,2,2))]. 7195 K(x,K(y,T(z,u))) = T(K(x,K(y,z)),u). [para(7152(a,2),7152(a,1,2))]. 7196 T(T(x,K(y,z)) * K(y,x),y) = T(x,K(y,z)). [para(7169(a,1),4674(a,1,1,2))]. 7197 K(x,R(T(y / z,y * u),z,u)) = K(x,(z * u) \ (y * u)). [para(498(a,1),7115(a,1,2))]. 7198 K(T(x,y),z) = T(K(x,z),y). [hyper(228,a,5502,a(flip),b,7126,a(flip))]. 7199 K(T(R(x,x \ y,y \ z),z),u) = K(((x \ y) * (y \ z)) \ z,u). [para(668(a,1),7126(a,1,1,1)),flip(a)]. 7200 K(T(x * K(y,z),x),u) = K(K(y,z) * x,u). [para(5070(a,1),7126(a,1,1)),flip(a)]. 7201 K((x * (y \ z)) \ (x * z),u) = L(K(T(y,z),u),z,x). [para(7126(a,1),6326(a,1,1)),flip(a)]. 7202 K(T(x,y),z) = K(x,T(z,y)). [hyper(228,a,7152,a,b,7198,a)]. 7203 K(T(x,y),y / z) = K(x,z \ y). [hyper(228,a,6208,a(flip),b,7198,a)]. 7204 K(T(x,K(y,z)),y) = K(x,y). [hyper(228,a,1754,a(flip),b,7198,a)]. 7205 x * K(T(y,x),z) = K(y,z) * x. [para(7198(a,2),113(a,1,2))]. 7206 (K(x,y) * z) * K(T(y,z),x) = z. [para(7198(a,2),6011(a,1,2))]. 7207 K(x,K(T(y,K(x,z)),u)) = K(x,K(y,u)). [para(7198(a,2),7169(a,1,2))]. 7208 x * (K(x,y) * (1 / T(T(x,y),z))) = K(x,T(T(x,y) \ (z \ 1),y)). [hyper(6859,a,7202,a)]. 7209 K(x,T(y,z)) \ 1 = K(y,T(x,z)). [hyper(5057,a,7202,a)]. 7210 K(x,T(y,z) \ T(x,z)) = K(x,T(y \ x,z)). [hyper(228,a,6692,a,b,7202,a(flip)),flip(a)]. 7211 T(T(x * K(y,x),z),u) \ T(T(x,z),u) = K(T(x,z),T(y,u)). [hyper(228,a,5913,a,b,7202,a(flip)),flip(a)]. 7212 T(x,T(y,z)) \ 1 = x \ K(y,T(x,z)). [hyper(71,a,7202,a(flip),b,4647,a(flip)),flip(a)]. 7213 K(T(x,y),T(z,u)) = K(x,T(T(z,y),u)). [para(38(a,1),7202(a,2,2))]. 7214 K(L(T(x,y),z,u),w) = K(L(x,z,u),T(w,y)). [para(40(a,2),7202(a,1,1))]. 7215 K(R(T(x,y),z,u),w) = K(R(x,z,u),T(w,y)). [para(42(a,2),7202(a,1,1))]. 7216 K(x / y,T(z,y)) = K(y \ x,z). [para(115(a,1),7202(a,1,1)),flip(a)]. 7217 K(T(x,y),z / y) = K(x,y \ z). [para(115(a,1),7202(a,2,2))]. 7218 K((x * y) / x,T(z,x)) = K(y,z). [para(165(a,1),7202(a,1,1)),flip(a)]. 7219 K((x \ y) \ y,z) = K(x,T(z,x \ y)). [para(114(a,1),7202(a,1,1))]. 7220 K(T(x,y),L(y,z,u)) = K(x,L(y,z,u)). [para(130(a,1),7202(a,2,2))]. 7221 K(x,T(y,R(x,z,u))) = K(x,y). [para(602(a,1),7202(a,1,1)),flip(a)]. 7222 K(L((x \ y) \ y,z,u),w) = K(L(x,z,u),T(w,x \ y)). [para(248(a,1),7202(a,1,1))]. 7223 K(x,T(y,R(T(x,z),u,w))) = K(x,y). [para(790(a,1),7202(a,1,1)),flip(a)]. 7224 x / K(y,T(x,z)) = T(x,T(y,z)). [para(7202(a,1),4658(a,2,2)),flip(a)]. 7225 x * K(T(x,y),z) = T(x,T(z,y)). [para(7202(a,2),4705(a,2,2)),flip(a)]. 7226 K(x,T(y,z)) * T(x,z) = T(T(x,z),y). [para(7202(a,1),4712(a,2,1)),flip(a)]. 7227 K(x,T(y,K(z,z \ x))) = K(x,y). [para(4916(a,1),7202(a,1,1)),flip(a)]. 7229 x * K(T(x,y),z) != u | T(x,T(z,y)) = u. [para(7202(a,2),4708(a,1,2))]. 7230 K(x,T(y,z)) \ u = K(y,T(x,z)) * u. [para(7202(a,1),5035(a,1,1))]. 7231 x / K(y,T(z,u)) = x * K(z,T(y,u)). [para(7202(a,1),5063(a,1,2))]. 7232 K(x,T(y,z)) * (y \ u) = T(y,T(x,z)) \ u. [para(7202(a,1),5004(a,1,1))]. 7233 (x * K(y,T(z,u))) \ (x * z) = T(z,T(y,u)). [para(7202(a,1),5151(a,1,1,2))]. 7234 1 / (x \ K(y,T(x,z))) != u | T(x,T(y,z)) = u. [para(7202(a,1),4807(a,1,2,2))]. 7236 x * K(y,T(z,u)) != w | w * K(z,T(y,u)) = x. [para(7202(a,1),5064(a,1,2))]. 7237 x / K(y,T(z,u)) != w | x * K(z,T(y,u)) = w. [para(7202(a,1),5067(a,1,2))]. 7238 K(x,T(y,z)) \ u != w | K(y,T(x,z)) * u = w. [para(7202(a,1),5072(a,1,1))]. 7239 (x * K(y,T(z,u))) \ x != w | K(z,T(y,u)) = w. [para(7202(a,1),5085(a,1,1,2))]. 7240 K(x,T(y,z)) * T(x,z) = T(T(x,y),z). [para(7202(a,1),4782(a,1,1))]. 7241 x \ (y * K(z,T(x,u))) = T(y / T(x,T(z,u)),x). [para(7202(a,1),5287(a,1,2,2))]. 7242 K(x,T(y,z)) \ (y * u) != w | T(y,T(x,z)) * u = w. [para(7202(a,1),5012(a,1,1))]. 7243 R(x,y,K(z,T(y,u))) = x. [para(7202(a,1),6594(a,1,3))]. 7244 (x * K(T(y,z),u)) * K(u,w) = (x * K(u,w)) * K(y,T(u,z)). [para(7202(a,1),6720(a,1,2)),flip(a)]. 7245 (x * y) * K(z,T(y,u)) = x * (y * K(z,T(y,u))). [para(7243(a,1),109(a,1,1)),flip(a)]. 7246 K(x,y) * T(x,K(y,z)) = T(T(x,K(y,z)),y). [para(7204(a,1),4712(a,2,1)),flip(a)]. 7247 T(x,x * T(y,K(x,z))) * K(y,x) = L(x,T(y,K(x,z)),x). [para(7204(a,1),5301(a,1,2))]. 7248 K(x,y / R(x,z,u)) = K(x,R(x,z,u) \ y). [para(115(a,1),7221(a,1,2)),flip(a)]. 7249 K(x / y,z \ (x / y)) = K(x / y,z \ (y \ x)). [para(115(a,1),7135(a,1,2,2)),flip(a)]. 7250 K(x * K(y,z),z) = K(x,z). [hyper(228,a,4894,a(flip),b,7138,a)]. 7251 K(x * K(y,z),z) != u | K(x,z) = u. [para(7138(a,2),4897(a,1))]. 7252 K(x * T(y,z),z) = K(x * y,z). [para(1385(a,1),7250(a,1,1))]. 7253 K(x \ T(y,z),z) = K(x \ y,z). [para(1384(a,1),7250(a,1,1))]. 7254 R(K(x,y),x * K(z,y),u) = K(x * K(z,y),y). [para(7250(a,1),3854(a,1,1))]. 7255 K(x * K(y,z),y) = K(x,y). [para(5062(a,1),7250(a,1,1)),flip(a)]. 7256 K(x \ K(y,z),y) = K(x \ 1,y). [para(4895(a,1),7250(a,1,1)),flip(a)]. 7257 K(x * T(y,z),y) = K(x * y,y). [para(5207(a,1),7250(a,1,1)),flip(a)]. 7259 K(x * L(K(y,z),u,w),z) = K(x,z). [para(6128(a,1),7250(a,1,1,2))]. 7260 K(x * K(y,T(z,u)),z) = K(x,z). [para(7202(a,1),7250(a,1,1,2))]. 7261 K(x * L(K(y,z),u,w),y) = K(x,y). [para(6100(a,1),7255(a,1,1,2))]. 7262 K(R(x,y,z),u * K(x,w)) = R(x * K(u,x),y,z) \ R(x,y,z). [para(7255(a,1),5834(a,1,1,1,2)),flip(a)]. 7263 K(x * (y * K(z,u)),z) = K(x * y,z). [para(6316(a,1),7255(a,1,1))]. 7264 T(x,x * (y / T(x,z))) = T(x,y). [para(65(a,1),7143(a,1,2)),flip(a)]. 7266 T(x / ((y \ z) \ z),T(y,z)) = ((y \ z) \ z) \ x. [hyper(647,a,7146,a),flip(a)]. 7267 T(x,((y \ 1) * ((z \ 1) \ u)) \ 1) = T(x,T((z / (1 / u)) \ y,1)). [para(946(a,1),7146(a,1,2,1))]. 7268 K(x,(y * (z \ u)) \ (y * u)) = L(K(x,T(z,u)),u,y). [para(7153(a,1),6297(a,1,1)),flip(a)]. 7269 K(x * y,x) * y = y * K(x * y,x). [para(7155(a,1),113(a,1,2)),flip(a)]. 7270 x * K(y,T(z,x)) = K(z,y) \ x. [para(7167(a,1),14(a,1,2))]. 7272 L(x,y / z,K(z \ y,u)) != w | w = x. [para(7170(a,1),3865(a,1,3))]. 7276 K((x * y) / (z * y),T(u,x)) = R(K(z \ x,u),x,y). [para(7170(a,1),6731(a,1,1)),flip(a)]. 7277 T(x,T(y,T(T(x,z),u))) = K(x,y) * x. [para(7171(a,1),4712(a,2,1))]. 7278 (x * y) / T(T(x,y),z) = K(z,x) * y. [hyper(5738,a,7174,a)]. 7279 x \ (y * K(z,T(x,y))) = T(x,z) \ y. [hyper(71,a,7174,a,b,4680,a)]. 7280 x * (y * K(z,T(u,y))) = x * (K(z,u) * y). [hyper(21,a,7174,a)]. 7281 K(x,T((y / z) \ 1,z)) = K(x,(z \ y) \ 1). [hyper(17,a,5964,a(flip),b,7174,a)]. 7282 K(x,y) * z != z * u | K(x,T(y,z)) = u. [para(7174(a,1),19(a,1))]. 7283 x * K(y,L(T(z,x),u,w)) = K(y,L(z,u,w)) * x. [para(40(a,2),7174(a,1,2,2))]. 7284 K(x,y / z) * z = z * K(x,z \ y). [para(115(a,1),7174(a,1,2,2)),flip(a)]. 7285 K(x,1 / (y * z)) * y = y * K(x,y \ (1 / z)). [para(322(a,1),7174(a,1,2,2)),flip(a)]. 7287 K(x \ y,z) * K(u,y / x) = K(u,y / x) * K(x \ y,z). [para(3171(a,1),7174(a,1,2,2))]. 7288 T(x,K(x,y) * z) = T(x,z). [para(7174(a,1),7057(a,1,2))]. 7289 K(x,K(x,y) * z) = K(x,z). [para(7174(a,1),7128(a,1,2))]. 7290 (x \ y) * K(z,T(x,y)) = K(z,x) * (x \ y). [para(7102(a,1),7174(a,1,2))]. 7291 x * K(y,K(z,T(u,x))) = K(y,K(z,u)) * x. [para(7152(a,2),7174(a,1,2,2))]. 7292 K(K(x,y) * z,x) = K(z,x). [para(7174(a,1),7255(a,1,1))]. 7293 T(x,K(x,y) * L(K(z,x),u,w)) = x. [hyper(228,a,2531,a(flip),b,7288,a)]. 7294 (K(x,y) * z) \ (T(x,y) * z) = T(x,z). [hyper(228,a,4975,a,b,7288,a(flip)),flip(a)]. 7295 T(x,K(y,x) * z) = T(x,z). [para(5042(a,1),7288(a,1,2)),flip(a)]. 7297 T(x,T(y,x) \ z) = T(x,y \ z). [para(5004(a,1),7288(a,1,2))]. 7298 T(x,y) * K(z,T(x,K(x,u) * y)) = T(x * K(z,x),K(x,u) * y). [para(7288(a,1),5396(a,1,1))]. 7299 T(x,(y / x) \ z) = T(x,(x \ y) \ z). [para(5915(a,1),7288(a,1,2)),flip(a)]. 7300 K(x,T(y,K(x,z) * u)) = K(T(x,u),y). [para(7288(a,1),7202(a,1,1)),flip(a)]. 7301 K(x,T(x,y) * z) = K(x,x * z). [para(4720(a,1),7289(a,1,2))]. 7302 K(x,K(y,x) \ z) = K(x,z). [para(5035(a,2),7289(a,1,2))]. 7303 K(x,K(y,x) * z) = K(x,z). [para(5042(a,1),7289(a,1,2)),flip(a)]. 7305 K(x,(y / x) \ z) = K(x,(x \ y) \ z). [para(5915(a,1),7289(a,1,2)),flip(a)]. 7306 K(x,R(K(x,y),z,u) * w) = K(x,w). [para(6907(a,1),7289(a,1,2,1))]. 7307 K(K(x,y) \ z,x) = K(z,x). [para(14(a,1),7292(a,1,1)),flip(a)]. 7308 K(K(x,y) * z,y) = K(z,y). [para(5042(a,1),7292(a,1,1)),flip(a)]. 7309 K(T(x,y) \ z,x) = K(x \ z,x). [para(4977(a,1),7292(a,1,1)),flip(a)]. 7310 L(K(x,y),K(y,z) * x,u) = K(K(y,z) * x,y). [para(7292(a,1),5507(a,1,1))]. 7312 K(R(K(x,y),z,u) * w,x) = K(w,x). [para(6907(a,1),7292(a,1,1,1))]. 7313 L(x,y \ (K(z,y) * u),T(y,u)) = L(x,y \ (K(z,y) * u),y). [para(7295(a,1),4220(a,1,3))]. 7314 K(x,K(y,K(z,y) / u)) = K(x,K(y,1 / u)). [para(7303(a,1),6076(a,1,2)),flip(a)]. 7315 K(x,R(K(y,x),z,u) * w) = K(x,w). [para(6118(a,1),7303(a,1,2,1))]. 7316 K(K(x,y) * z,x) != u | K(z,x) = u. [para(7307(a,1),5784(a,1))]. 7317 T(x,K(y,z / x)) = T(x,K(y,x \ z)). [para(115(a,1),7180(a,1,2,2)),flip(a)]. 7318 T(x,T(y,z) \ 1) = T(x,T(y \ 1,z)). [hyper(5814,a,7181,a)]. 7319 T(x,T(y,z)) != x * u | T(K(x,y),z) = u. [para(7181(a,1),19(a,1))]. 7320 T(x,T(y \ 1,z)) != u | T(x,T(y,z) \ 1) = u. [para(7181(a,1),5814(a,1))]. 7321 x * K(T(y,x),z) = K(z,y) \ x. [hyper(5067,a,7186,a)]. 7322 K(x,R(T(x,y),z,u) / w) = K(x,w \ R(T(x,y),z,u)). [para(790(a,1),7203(a,1,1))]. 7323 K(x,L(L(x,y,z),u,w) / v5) = K(x,v5 \ L(L(x,y,z),u,w)). [para(907(a,1),7203(a,1,1))]. 7324 K(x,y \ z) * T(x,z) = T(T(x,z),z / y). [para(7203(a,1),4712(a,2,1)),flip(a)]. 7325 K(x / y,z) * y = y * K(y \ x,z). [para(115(a,1),7205(a,1,2,1)),flip(a)]. 7326 K((x * y) / x,z) * x = x * K(y,z). [para(165(a,1),7205(a,1,2,1)),flip(a)]. 7327 (x * (K(y,z) * u)) \ (x * u) = L(K(z,T(y,u)),u,x). [para(7205(a,1),6437(a,1,1,2))]. 7329 K(x,T(y,z)) != u | K(T(x,z),y) = u. [para(7209(a,1),4887(a,1))]. 7330 K(x \ (y \ x),z) = K(y \ 1,T(z,x)). [hyper(5758,a,7216,a),flip(a)]. 7331 K(x / y,T(y,z)) = K(y \ x,T(y,z)). [para(129(a,1),7216(a,1,2))]. 7332 K(x / y,L(y,z,u)) = K(y \ x,L(y,z,u)). [para(130(a,1),7216(a,1,2))]. 7333 K(x \ y,z) * (y / x) = T(y / x,T(z,x)). [para(7216(a,1),4712(a,2,1)),flip(a)]. 7334 K(x \ y,z) * (y / x) != u | T(y / x,T(z,x)) = u. [para(7216(a,1),4713(a,1,1))]. 7335 K((x * y) / x,T(z,x)) != u | K(y,z) = u. [para(7216(a,2),5784(a,1))]. 7337 K(x,y / R(T(x,z),u,w)) = K(x,R(T(x,z),u,w) \ y). [para(790(a,1),7217(a,1,1))]. 7338 (x / (y / z)) * K(u,z \ y) != w | x / T(y / z,T(u,z)) = w. [para(7217(a,1),5280(a,1,2))]. 7339 a(x,T(y,z),K(u,y)) = 1. [para(7218(a,1),6604(a,1,3))]. 7340 R(x,K(y,z),L(T(z,u),w,v5)) = x. [para(7218(a,1),6655(a,1,2))]. 7341 L(x,T(T(y,z),u),K(w,y)) = x. [para(7218(a,1),6948(a,1,3))]. 7342 K(K(x,y) * z,T(y,u)) = K(z,T(y,u)). [para(7218(a,1),7308(a,1,1,1))]. 7343 L(K(x,y),T(y,z),u) = K(x,y). [hyper(33,a,7339,a)]. 7344 (K(x,y) * T(T(y,z),u)) * w = K(x,y) * (T(T(y,z),u) * w). [para(7341(a,1),100(a,1,2))]. 7345 (x * T(y,z)) \ (x * R(y,z,y)) = K(y * z,y). [hyper(228,a,5326,a,b,7343,a(flip)),flip(a)]. 7346 (x * T(y,z)) * L(K(u,y),w,v5) = x * (T(y,z) * L(K(u,y),w,v5)). [para(7343(a,1),452(a,1,2,1))]. 7348 T(x,T(y,z) \ T(x,z)) = T(x,T(y \ x,z)). [hyper(6691,a,7224,a)]. 7350 T(T(x,y),z) * K(y,x) = T(x,T(z,y)). [hyper(5867,a,7225,a)]. 7351 K(x,K(y \ x,y) * z) = K(x,z * K(y \ x,y)). [para(5079(a,1),7227(a,1,2))]. 7352 K(x * K(y / z,u),y) = K(x * K(z \ y,u),y). [para(5495(a,1),7252(a,1,1,2)),flip(a)]. 7353 K(x \ (y \ (z * y)),y) = K(x \ z,y). [para(32(a,1),7253(a,1,1,2))]. 7356 K(x,y) * K(z \ 1,x) = z * T(z \ K(x,y),x). [para(7256(a,1),5241(a,2,2)),flip(a)]. 7357 K(x \ L(K(y,z),u,w),y) = K(x \ 1,y). [para(6100(a,1),7256(a,1,1,2))]. 7358 K(x * T(y,z),y) = K(y * x,y). [hyper(228,a,5647,a(flip),b,7257,a)]. 7359 K(T(x,y) * z,x) = K(z * T(x,y),x). [para(93(a,1),7260(a,1,1)),flip(a)]. 7360 K(T(x,T(y,z)) * u,y) = K(x * u,y). [para(5217(a,1),7260(a,1,1))]. 7361 K(x / y,z) \ y = y * K(z,y \ x). [para(115(a,1),7270(a,1,2,2)),flip(a)]. 7362 K(x / T(y,z),y) = K(y \ x,y). [hyper(228,a,5877,a,b,7309,a(flip)),flip(a)]. 7365 x \ (((y \ x) * y) * L(T(y,z),u,w)) = K(y \ x,y) * L(T(y,z),u,w). [para(7340(a,1),511(a,1,1))]. 7366 K(x * (y / T(x,z)),x) = K(y,x). [para(16(a,1),7358(a,1,1)),flip(a)]. 7368 (x / T(y,z)) * K(y \ x,y) = T(x / T(y,z),y). [para(7362(a,1),4705(a,2,2)),flip(a)]. 7369 L(K(x,y),z,x) != u | K(x,y) = u. [para(7017(a,2),284(a,1)),flip(b)]. 7373 K(L(x,y,x),z) != u | K(x,z) = u. [para(6341(a,1),7369(a,1))]. 7374 K(x,(x * y) \ z) != u | K(x,y \ (x \ z)) = u. [para(6300(a,1),7369(a,1))]. 7375 K(T(x / (x / y),x),z) != u | K(y,z) = u. [para(4009(a,2),7373(a,1,1))]. 7376 K(x,y) != z | K(R(x,u,x),y) = z. [para(4265(a,1),7373(a,1,1))]. 7377 K(x,K(y,T((z * x) / u,u / x))) = K(x,K(y,(u / x) \ z)). [para(720(a,1),7048(a,1,2,2))]. 7378 T(x,y * K(L(x,z,u),w)) = T(x,y). [para(6341(a,1),7071(a,1,2,2))]. 7379 K(x,y / (x \ z)) != u | K(x,y / (z / x)) = u. [para(6015(a,1),7129(a,1,2))]. 7380 K(x,y \ T(x,z)) != u | K(x,y \ x) = u. [para(6265(a,1),7129(a,1,2))]. 7381 K(x,y * (z * K(u,x))) = K(x,y * z). [para(6439(a,1),7134(a,1,2)),flip(a)]. 7382 T(K(x,y),(z * y) \ z) != u | K(x,y) = u. [para(5679(a,2),7190(a,1))]. 7383 K(x \ T(y,z),z) != u | K(x \ y,z) = u. [para(1384(a,1),7251(a,1,1))]. 7385 K(x * K(y,L(z,u,w)),z) = K(x,z). [para(6315(a,1),7259(a,1,1,2))]. 7386 K(x * K(L(y,z,u),w),y) = K(x,y). [para(6341(a,1),7261(a,1,1,2))]. 7387 K(x,K(R(x,y,z),u) * w) = K(x,w). [para(6734(a,1),7306(a,1,2,1))]. 7388 K((K(x,y) * z) * u,x) = K(z * u,x). [para(109(a,1),7312(a,1,1))]. 7389 K(K(R(x,y,z),u) * w,x) = K(w,x). [para(6734(a,1),7312(a,1,1,1))]. 7390 K(x,K(y,R(x,z,u)) * w) = K(x,w). [para(6923(a,1),7315(a,1,2,1))]. 7391 K(x * y,x) != z | K(y * x,x) = z. [para(4671(a,1),7316(a,1,1))]. 7393 T(K(x,y),z) != u | K(T(x,z),y) = u. [para(7152(a,1),7329(a,1))]. 7394 T(x,L(x,y,z) * (z * y)) = T(x,z * (y * x)). [para(454(a,1),7378(a,1,2))]. 7395 K(x * K(L(y,z,u),w),L(y,v5,v6)) = L(T(y,x),v5,v6) \ L(y,v5,v6). [para(7378(a,1),4656(a,1,1,1)),flip(a)]. 7396 K(L(x,y,z) * u,x) = K(u * L(x,y,z),x). [para(93(a,1),7385(a,1,1)),flip(a)]. 7397 K((L(x,y,z) \ u) * L(x,y,z),x) = K(u,x). [para(239(a,1),7385(a,1,1))]. 7398 K(K(L(x,y,z),u) * w,x) = K(w,x). [para(7206(a,1),7385(a,1,1)),flip(a)]. 7399 K(x \ L(T(y,z),u,w),y) = K(x \ L(y,u,w),y). [para(6270(a,1),7386(a,1,1))]. 7400 K(x,R(x,y,z) * u) = K(x,u * R(x,y,z)). [para(4671(a,1),7387(a,1,2))]. 7401 K(x,T(R(x,y,z),u) \ w) = K(x,R(x,y,z) \ w). [para(4977(a,1),7387(a,1,2)),flip(a)]. 7402 K(x,R(T(x,y),z,u) * w) = K(x,R(x,z,u) * w). [para(5030(a,1),7387(a,1,2))]. 7403 K(R(x,y,z) * u,x) = K(u * R(x,y,z),x). [para(4671(a,1),7389(a,1,1))]. 7404 K(T(x,R(y,z,u)) * w,y) = K(x * w,y). [para(4681(a,1),7389(a,1,1)),flip(a)]. 7407 K(x,(x \ y) \ (x \ z)) = K(x,y \ z). [para(14(a,1),7002(a,2,2,2))]. 7408 K(x,(y * x) \ z) = K(x,y \ (x \ z)). [hyper(228,a,6533,a,b,7015,a(flip)),flip(a)]. 7409 (((x \ (y / z)) * x) * z) \ y = K(x,z \ (x \ y)). [hyper(228,a,5466,a,b,7015,a(flip)),flip(a)]. 7410 K(x,((x \ 1) * y) \ (x \ z)) = K(x,L(y,x \ 1,x) \ z). [para(190(a,1),7015(a,1,2,1)),flip(a)]. 7411 (x * ((y / z) / x)) * z = y * K(x,z \ (x \ y)). [para(7015(a,1),6156(a,2,2))]. 7412 L(K(x,y \ (x \ (z \ u))),z \ u,z) = K(x,(z * (x * y)) \ u). [para(7015(a,1),6300(a,1,1))]. 7413 L(x,y,x) * K(x,z) = L(T(x,z),y,x). [hyper(3163,a,7025,a)]. 7414 K(x,y) * (x \ L(x,z,x)) = x \ L(T(x,y),z,x). [hyper(71,a,7025,a(flip),b,4991,a),flip(a)]. 7415 T(x,y) \ L(T(x,y),z,x) = x \ L(x,z,x). [hyper(71,a,7025,a(flip),b,4676,a)]. 7416 R(x,y,x) * K(x,z) = R(T(x,z),y,x). [hyper(228,a,42,a,b,7036,a)]. 7417 L(x,y,K(x,z)) = x. [hyper(445,a,7042,a)]. 7418 (K(x,y) * z) * x = T(x,y) * T(z,x). [hyper(228,a,4979,a(flip),b,7042,a)]. 7420 (K(x,y) * (z * x)) \ (K(x,y) * z) = L(x \ 1,x,K(x,y) * z). [para(7042(a,1),161(a,2,1)),flip(a)]. 7421 L(T(x,y),z,K(x,u)) = T(x,y). [para(7417(a,1),40(a,2,1))]. 7422 (K(x,y) * z) * R(x,u,w) = K(x,y) * (z * R(x,u,w)). [para(7417(a,1),451(a,1,2,1))]. 7423 (K(x,y) * z) * L(x,u,w) = K(x,y) * (z * L(x,u,w)). [para(7417(a,1),452(a,1,2,1))]. 7426 L(K(x,y),z,K(y,u)) = K(x,y). [para(7417(a,1),6313(a,1,2)),flip(a)]. 7427 L(K(x,y),z,K(x,u)) = K(x,y). [para(7417(a,1),6339(a,1,1)),flip(a)]. 7428 L(x,y,R(K(x,z),u,w)) = x. [para(6907(a,1),7417(a,1,3))]. 7430 L(x,y,K(R(x,z,u),w)) = x. [para(6734(a,1),7428(a,1,3))]. 7431 R(K(R(x,y,z),u),w,L(x,w,K(R(x,y,z),u))) = (K(R(x,y,z),u) * (w * x)) / (w * x). [para(7430(a,1),449(a,1,2,2)),flip(a)]. 7434 (K(x,y) * z) * K(u,T(x,w)) = K(x,y) * (z * K(u,T(x,w))). [para(7421(a,1),6316(a,1,2,2))]. 7436 K((K(x,y) * z) \ u,y) = K(z \ (K(y,x) * u),y). [hyper(228,a,6333,a(flip),b,7426,a(flip))]. 7437 K(x,L(y,z,K(x,u))) = K(x,y). [hyper(228,a,6315,a(flip),b,7427,a(flip)),flip(a)]. 7438 K(x,L(L(y,z,K(x,u)),w,v5)) = K(x,L(y,w,v5)). [para(45(a,1),7437(a,1,2))]. 7439 K(x,(K(y,x) * z) \ u) = K(x,z \ (K(x,y) * u)). [para(5076(a,1),7437(a,1,2)),flip(a)]. 7440 R(T(x,y),x \ y,T(x,z)) = (x \ y) \ y. [hyper(228,a,4004,a(flip),b,7058,a)]. 7442 R(T(x,y),z,x) \ T(T(x,y) * z,T(x,y)) = T(z,T(x,y)). [para(7058(a,1),1235(a,1,1))]. 7443 R(T(x * K(y,x),y),z,x * K(y,x)) = R(x,z,T(x * K(y,x),u)). [para(4674(a,1),7058(a,1,1)),flip(a)]. 7444 K(x,R(T(y,z),u,y)) = K(x,T(y,z)). [para(7058(a,1),7098(a,1,2))]. 7445 K(x,T(R(y,z,y),u)) = K(x,T(y,u)). [para(42(a,1),7444(a,1,2))]. 7446 (x / L(y,z,y)) * y = y * (L(y,z,y) \ x). [para(7082(a,1),113(a,1,2)),flip(a)]. 7447 (x / R(y,z,y)) * y = y * (R(y,z,y) \ x). [para(7088(a,1),113(a,1,2)),flip(a)]. 7448 K(x * (y / R(z,u,z)),z) = K(x * (R(z,u,z) \ y),z). [para(7088(a,1),7252(a,1,1,2)),flip(a)]. 7450 T((x / (y * K(z,y))) * y,z / (z / y)) = ((z * y) / z) \ (x * y). [hyper(6114,a,7093,a),flip(a)]. 7451 T(x,T(y,x) \ (x \ z)) = T(x,(y * x) \ z). [para(113(a,1),7095(a,1,2,1)),flip(a)]. 7452 L(x,y,K(z,x)) = x. [hyper(445,a,7104,a)]. 7454 T(K(x,y) * z,y) = K(x,y) * T(z,y). [hyper(171,a,7104,a,b,5470,a)]. 7455 K(K(x,y) * z,y) * T(y,K(x,y) * (z * y)) = L(y,K(x,y) * z,y). [para(7104(a,1),4981(a,1,2,2))]. 7457 L(L(x,y,z),u,K(w,x)) = L(x,y,z). [para(7452(a,1),45(a,1,1)),flip(a)]. 7458 L(K(x,y),z,K(u,y)) = K(x,y). [para(7452(a,1),6313(a,1,2)),flip(a)]. 7459 K(L(x,y,K(z,u)),u) = K(x,u). [hyper(6346,a,7458,a)]. 7460 T(x,L(y,z,K(u,x))) = (K(y,x) / x) \ 1. [para(7459(a,1),4667(a,2,1,1))]. 7461 T(x,(y * x) / z) = T(x,y / (x \ z)). [hyper(228,a,7070,a(flip),b,7107,a)]. 7462 T((x * y) / T(x,z),x) = y * K(z,x). [hyper(5265,a,7116,a)]. 7463 R(x,y,K(z,x)) = x. [hyper(476,a,7116,a)]. 7465 (T(x,y) * z) * K(u,x) = T(x,y) * (z * K(u,x)). [para(7463(a,1),481(a,1,1,1)),flip(a)]. 7466 (L(x,y,z) * u) * K(w,x) = L(x,y,z) * (u * K(w,x)). [para(7463(a,1),482(a,1,1,1)),flip(a)]. 7467 R(x,y,T(K(z,x),u)) = x. [para(2034(a,1),7463(a,1,3))]. 7470 R(x,y,K(z,T(x,u))) = x. [para(7202(a,1),7463(a,1,3))]. 7472 x \ (y * T(K(z,x),u)) = (x \ y) * T(K(z,x),u). [para(7467(a,1),472(a,1,1))]. 7473 (L(x,y,z) * u) * K(w,T(x,v5)) = L(x,y,z) * (u * K(w,T(x,v5))). [para(7470(a,1),482(a,1,1,1)),flip(a)]. 7474 K((x / (y \ 1)) \ z,x) = K(y \ (x \ z),x). [hyper(228,a,6577,a,b,7118,a(flip)),flip(a)]. 7475 K((x * y) \ z,y) = K(x \ (y \ z),y). [hyper(228,a,6531,a,b,7118,a(flip)),flip(a)]. 7476 K((x \ y) \ (x \ z),x) = K(y \ z,x). [para(14(a,1),7118(a,1,1,1)),flip(a)]. 7477 x * K(y \ (z \ x),z) = y * ((z \ (y \ x)) * z). [para(7118(a,1),6464(a,1,2))]. 7478 L(x * K(y \ (x * z),x),u,w) / L(x,u,w) = K((x \ y) \ z,L(x,u,w)). [para(7119(a,1),5829(a,1,1,1,2))]. 7479 K(x,(y * x) / z) = K(x,y / (x \ z)). [hyper(228,a,7043,a,b,7133,a(flip)),flip(a)]. 7480 K(x,T(K(x,y) * z,u)) = K(x,T(z,u)). [para(5042(a,1),7136(a,1,2,1)),flip(a)]. 7481 K(x,T(T(x,y) \ z,u)) = K(x,T(x \ z,u)). [para(5004(a,1),7136(a,1,2,1))]. 7482 T(K(x,y),z * T(y,u)) = K(x,T(y,z)). [para(15(a,1),7142(a,1,2,2)),flip(a)]. 7483 T(x * y,x) / T(x,y) = x \ T(x * y,x). [para(13(a,1),7144(a,1,2,2))]. 7484 K(x,T(y,(z \ u) \ y)) = K(x,T(y,u \ z)). [para(5675(a,1),7150(a,1,2)),flip(a)]. 7485 K(x * y,K(x,z)) = K(y,K(x,z)). [hyper(228,a,6226,a(flip),b,7185,a(flip)),flip(a)]. 7486 K(x,K(y,z)) * T(z,y) = T(z,T(y,x)). [para(7185(a,1),5882(a,1,1))]. 7487 K(x * y,K(y,z)) = K(x,K(y,z)). [hyper(228,a,6282,a,b,7485,a(flip)),flip(a)]. 7488 K(x \ y,K(x,z)) = K(y,K(x,z)). [para(14(a,1),7485(a,1,1)),flip(a)]. 7489 K(x * y,K(x,z)) != u | K(y,K(x,z)) = u. [para(7488(a,1),5784(a,1))]. 7490 R(x,y,z) * (x \ K(u,T(x,w))) = T(x,T(u,w)) \ R(x,y,z). [para(7212(a,1),1772(a,1,2))]. 7491 K(T(T(x,y),z),u) = K(x,T(T(u,y),z)). [hyper(7329,a,7213,a)]. 7492 K(x,T(y,x \ z)) = K(x,T(y,z)). [hyper(228,a,7166,a(flip),b,7219,a(flip))]. 7493 K(x,T(y,x \ z)) = T(K(x,y),z). [hyper(228,a,5502,a(flip),b,7219,a(flip))]. 7494 K(x,T(y,x * z)) = K(x,T(y,z)). [para(13(a,1),7492(a,1,2,2)),flip(a)]. 7495 K(x,R(T(y,x \ z),u,w)) = K(x,T(R(y,u,w),z)). [para(42(a,2),7492(a,1,2))]. 7496 T(x,T(y,x \ z)) = x * K(x,T(y,z)). [para(7492(a,1),4705(a,2,2))]. 7497 R(K(x,T(y,z)),x * u,w) = K(R(x,u,w),T(y,x \ z)). [para(7492(a,1),6734(a,1,1))]. 7498 K(x,T(y / (x * z),z)) = K(x,(x * z) \ y). [para(115(a,1),7494(a,1,2)),flip(a)]. 7499 (x * y) * K(x,T(z,y)) = K(x,z) * (x * y). [para(7494(a,1),7174(a,1,2))]. 7500 K(R(T(x,y),z,u),L(y,w,v5)) = K(R(x,z,u),L(y,w,v5)). [para(42(a,2),7220(a,1,1))]. 7501 K(x,y) * T(x,T(z,y)) = T(T(x,y),z). [hyper(5460,a,7226,a)]. 7502 K(x,y) \ T(T(x,y),z) = T(x,T(z,y)). [hyper(71,a,7226,a(flip),b,5458,a)]. 7503 T(x,T(y,z)) \ T(T(x,z),y) = K(x,z). [hyper(71,a,7226,a(flip),b,5002,a(flip))]. 7505 K(x,y) * T(T(y,z),x) = T(y,T(z,x)). [para(7240(a,1),5582(a,1,2))]. 7506 K(x * (y / T(z,u)),u) = K(x * (y / z),u). [para(5205(a,1),7263(a,1,1,2))]. 7507 K(x * (y \ T(z,u)),u) = K(x * (y \ z),u). [para(6160(a,1),7263(a,1,1,2)),flip(a)]. 7508 K(x * (y / R(z,u,z)),z) = K(x * (y / T(z,u)),z). [para(6650(a,1),7263(a,1,1,2))]. 7509 K(x * (K(y,z) * u),y) = K(x * u,y). [para(7174(a,1),7263(a,1,1,2))]. 7510 T(x,K(y,y * x)) = x. [hyper(5984,a,7269,a)]. 7511 T(x / y,K(y,x)) = x / y. [para(5435(a,1),7510(a,1,2))]. 7512 T(x,T(y,T(T(x,z),u))) = T(x,y). [hyper(228,a,4712,a,b,7277,a)]. 7513 T(x * K(y,x),T(z,T(x,u))) = T(x * K(y,x),z). [para(4674(a,1),7512(a,1,2,2,1))]. 7514 (x * L(y,z,y)) / T(T(x,y),u) = K(u,x) * L(y,z,y). [para(7079(a,1),7278(a,1,2,1))]. 7516 K(x,(y / z) \ 1) * y = y * K(x,y \ z). [para(5410(a,2),7284(a,1,1))]. 7518 (T(x,y) * z) / T(x,z) = K(x,y) * z. [para(7294(a,1),61(a,1,2))]. 7519 T(x,(y / x) \ z) = T(x,y \ (x * z)). [hyper(228,a,7096,a(flip),b,7299,a)]. 7520 K(x,T(y,K(x,z) * u)) = K(x,T(y,u)). [hyper(228,a,7202,a(flip),b,7300,a)]. 7521 K(x,(y / x) \ z) = K(x,y \ (x * z)). [hyper(228,a,7002,a(flip),b,7305,a)]. 7522 T(x,T(y \ 1,z)) = T(x,(y * z) \ z). [hyper(5768,a,7318,a),flip(a)]. 7524 K(x,y * K(z,R(x,u,w))) = K(x,y). [para(7326(a,1),7390(a,1,2))]. 7525 K(x,y / (z / R(x,u,w))) = K(x,y / (R(x,u,w) \ z)). [para(5230(a,1),7524(a,1,2))]. 7526 K(T(x,y) \ 1,z) = K(y \ (x \ y),z). [hyper(228,a,7164,a,b,7330,a),flip(a)]. 7527 (x / y) * K(y \ x,T(y,z)) = T(x / y,T(y,z)). [para(7331(a,1),4705(a,2,2)),flip(a)]. 7529 K(T(x,y) * z,T(x,u)) = K(x * z,T(x,u)). [para(4681(a,1),7342(a,1,1)),flip(a)]. 7530 K(x,y) / T(T(x,y),z) = 1 / T(x,T(z,y)). [para(7350(a,1),4898(a,1,2)),flip(a)]. 7531 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(7360(a,1),5398(a,1,1,2))]. 7532 T(x / y,z) \ x = y * K(z,y \ x). [hyper(5710,a,7361,a)]. 7533 K(x / y,z * (y * (x / y))) = K(x / y,z * x). [para(240(a,1),7381(a,1,2,2))]. 7534 x * (y * ((x \ 1) / y)) = K(y,x \ (y \ 1)). [hyper(228,a,6405,a,b,7408,a(flip)),flip(a)]. 7535 K(x,L(x \ y,x,z)) = K(x,z \ (x \ (z * y))). [para(102(a,2),7408(a,1,2))]. 7536 K(x,y \ (x \ (y * (z * x)))) = K(x,L(T(z,x),x,y)). [para(179(a,1),7408(a,1,2)),flip(a)]. 7537 K(x,y \ (x \ (y * z))) != u | L(K(x,x \ z),z,y) = u. [para(7408(a,1),6378(a,1))]. 7538 K(x,y) * (L(y,z,y) \ u) = L(T(y,x),z,y) \ u. [para(7413(a,1),6293(a,1,1)),flip(a)]. 7539 L(x,y,x) * K(x,R(z \ 1,u,w) \ 1) = L(x * R(K(x,z),u,w),y,x). [para(6910(a,1),7413(a,2,1))]. 7540 T(x,y) * (x \ R(x,z,x)) = R(T(x,y),z,x). [hyper(5770,a,7416,a)]. 7541 T(x,y) \ R(T(x,y),z,x) = x \ R(x,z,x). [hyper(71,a,7416,a(flip),b,4989,a)]. 7542 T(K(x,y) * z,x) = K(x,y) * T(z,x). [hyper(171,a,7418,a,b,4675,a)]. 7544 (T(x,y) * (x \ z)) * x = T(x,y) * T(z,x). [para(4676(a,2),7418(a,1,1))]. 7545 T(x * K(y,z),y) = T(x,y) * K(y,z). [hyper(6586,a,7454,a),flip(a)]. 7546 K(x,y) * T(K(x,y) \ z,x) = T(z,x). [hyper(6585,a,7454,a)]. 7548 K(x,y) * T(K(x * y,x),y) = T(x \ R(x,y,x),y). [para(5325(a,1),7454(a,1,1)),flip(a)]. 7549 T(x / T(y,z),y) = (y \ x) * K(z,y). [para(14(a,1),7462(a,1,1,1))]. 7550 K((x * y) \ (z * y),y) = K(x \ z,y). [hyper(228,a,7353,a(flip),b,7475,a)]. 7551 L(x * K(y \ (x \ z),x),u,w) / L(x,u,w) = K((y * x) \ z,L(x,u,w)). [para(7475(a,1),5829(a,1,1,1,2))]. 7552 K((x \ y) \ z,x) = K(y \ (z * x),x). [hyper(228,a,7353,a(flip),b,7476,a(flip)),flip(a)]. 7554 T(x,T(y,T(z,x))) = T(x,T(y,z)). [para(7486(a,1),7288(a,1,2))]. 7555 K(x,T(y,T(z,x))) = K(x,T(y,z)). [para(7486(a,1),7289(a,1,2))]. 7556 K(x,T(y,T(z,R(x,u,w)))) = K(x,T(y,z)). [para(7486(a,1),7387(a,1,2))]. 7557 T(x,T(y,z / x)) = T(x,T(y,x \ z)). [para(115(a,1),7554(a,1,2,2)),flip(a)]. 7558 K(x,T(y,z / x)) = K(x,T(y,x \ z)). [para(115(a,1),7555(a,1,2,2)),flip(a)]. 7559 K(x \ y,T(z,(x \ y) \ T(y,x))) = K(x \ y,T(z,x * K(y,x))). [para(4841(a,1),7555(a,1,2,2))]. 7560 T(x,T(y,x \ z)) = T(x,T(y,z)). [hyper(228,a,4705,a,b,7496,a)]. 7561 T(x,T(y,x \ z)) != u | T(x,T(y,z)) = u. [para(7496(a,2),4708(a,1))]. 7562 T(x,T(y,x \ y)) = T(x,y). [para(112(a,1),7560(a,2,2))]. 7563 T(x * y,T(z,y \ 1)) = T(x * y,T(z,x)). [para(5679(a,1),7560(a,1,2))]. 7564 L(x,y,z) \ L(T(x,T(u,w)),y,z) = K(L(x,y,z),T(u,x \ w)). [para(7560(a,1),4706(a,1,2,1))]. 7565 T(x,T(x * y,y)) = T(x,x * y). [para(13(a,1),7562(a,1,2,2))]. 7566 T(x,T(y,y / x)) = T(x,y). [para(3765(a,2),7562(a,1,2))]. 7567 T(K(x,y) * z,T(z,K(y,x))) = T(K(x,y) * z,z). [para(5040(a,1),7566(a,1,2,2))]. 7568 L(T(x,T(y,z)),K(x,z),z * x) = (x * z) \ ((T(x,y) * z) * x). [para(7502(a,1),1216(a,1,1))]. 7569 K(L(x,y,z),u * (K(x,w) * v5)) = L(x,y,z) / L(x * K(u * v5,x),y,z). [para(7509(a,1),5831(a,1,2,1,2)),flip(a)]. 7570 K(x * (K(y,z) * u),R(y,w,v5)) = R(y,w,v5) \ R(y * K(x * u,y),w,v5). [para(7509(a,1),5832(a,1,2,1,2)),flip(a)]. 7571 T(x,R(y,x \ 1,x) \ (x * z)) = T(x,(y * (1 / x)) \ z). [para(2810(a,1),7519(a,1,2,1)),flip(a)]. 7572 K(x,T(y,K(z,x) * u)) = K(x,T(y,u)). [para(5042(a,1),7520(a,1,2,2)),flip(a)]. 7573 K((x * y) \ y,z) = K(y \ (x \ y),z). [hyper(5788,a,7526,a)]. 7574 x / T(y \ x,z) = T(x / y,z) \ x. [hyper(228,a,5258,a,b,7532,a),flip(a)]. 7575 T(x * K(y,z),z) = T(x,z) * K(y,z). [hyper(6586,a,7542,a),flip(a)]. 7576 T(K(x,y) * T(y,z),x) = T(y,T(z,x)). [hyper(228,a,7505,a(flip),b,7542,a)]. 7577 T(K(x,y) * L(z,u,w),x) = K(x,y) * L(T(z,x),u,w). [para(40(a,2),7542(a,2,2))]. 7578 T(K(x \ y,x) * z,x \ y) != u | (y / x) \ (z * (x \ y)) = u. [para(7542(a,2),6358(a,1))]. 7579 x \ (y * T(x,z)) = T(y,x) * K(x,z). [hyper(5228,a,7545,a)]. 7580 (T(x,y) / y) * T(y,z) = T(x * K(y,z),y). [hyper(228,a,5216,a,b,7545,a),flip(a)]. 7581 x \ T(x * K(y,z),y) != u | K(x,y) * K(y,z) = u. [para(7545(a,2),4985(a,1,2))]. 7582 K(x,T(x * K(y,z),y)) = K(x,x * K(y,z)). [para(7545(a,2),7301(a,1,2))]. 7584 K(x,y) * (z * T(z \ (K(x,y) \ u),x)) = T(u / z,x) * z. [para(7546(a,1),1480(a,1,1)),flip(a)]. 7585 K(x \ ((y \ z) * y),y) = K(x \ z,y). [hyper(228,a,7476,a(flip),b,7552,a(flip))]. 7586 K(x \ (y * z),z) = K(x \ (z * y),z). [hyper(228,a,7119,a(flip),b,7552,a(flip))]. 7587 T(x,T(y,z / x)) = T(x,T(y,z)). [hyper(228,a,7560,a(flip),b,7557,a)]. 7588 T(x,T(y,z / x)) = x * T(K(x,y),z). [hyper(228,a,7181,a,b,7587,a)]. 7589 T(x \ y,T(z,y)) = T(x \ y,T(z,x)). [para(61(a,1),7587(a,1,2,2)),flip(a)]. 7590 K(x,T(y,z / x)) = T(K(x,y),z). [hyper(228,a,7493,a(flip),b,7558,a)]. 7591 K(x,T(y,z / x)) = K(x,T(y,z)). [hyper(228,a,7492,a(flip),b,7558,a)]. 7592 T(K(x,y),z * x) = K(x,T(y,z)). [para(15(a,1),7590(a,1,2,2)),flip(a)]. 7593 K(x,T(y,z * x)) = K(x,T(y,z)). [para(15(a,1),7591(a,1,2,2)),flip(a)]. 7594 K(a(x,y,z),T(u,(x * y) * z)) = K(a(x,y,z),T(u,x * (y * z))). [para(134(a,1),7591(a,1,2,2)),flip(a)]. 7595 K(x,T(y,z \ 1)) = K(x,T(y,z \ x)). [para(4106(a,1),7591(a,1,2))]. 7596 (x * y) * K(y,T(z,x)) = K(y,z) * (x * y). [para(7592(a,1),113(a,1,2))]. 7597 K(L(x,y,x),T(z,u)) = K(x,T(z,u * x)). [hyper(228,a,7016,a,b,7593,a),flip(a)]. 7598 K(x,T(y,K(z,x) * u)) = T(K(x,y),u). [hyper(228,a,7152,a(flip),b,7572,a)]. 7599 K(x,T(y,z * K(u,x))) = K(x,T(y,z)). [para(7326(a,1),7572(a,1,2,2))]. 7600 1 / (x \ K(y \ (z \ y),x)) = T(x,(z * y) \ y). [para(7573(a,1),4806(a,2,2,2)),flip(a)]. 7601 x / T((y \ x) \ x,z) = T(y,z) \ x. [para(61(a,1),7574(a,2,1,1))]. 7603 T(x / (x / y),z) \ x = x / T(y,z). [para(64(a,1),7574(a,1,2,1)),flip(a)]. 7604 T(K(x,y) * T(y,z),x) = y * K(T(y,x),z). [hyper(228,a,7225,a,b,7576,a)]. 7605 (x \ (y * T(x,z))) * x != u * T(x,z) | T(y,x) = u. [para(7579(a,2),5218(a,1,1)),flip(b)]. 7606 T(x \ 1,T(y,x)) = T(x \ 1,y). [para(143(a,1),7589(a,1,2)),flip(a)]. 7607 K(x,T(y \ x,T(z,y))) = K(x,T(y \ x,z)). [para(7589(a,1),7555(a,1,2))]. 7608 T((x \ y) \ 1,T(x,y)) = T((x \ y) \ 1,x). [hyper(228,a,7092,a(flip),b,7606,a(flip)),flip(a)]. 7609 T(K(x,y),K(z,x) * u) = T(K(x,y),u). [hyper(228,a,7152,a(flip),b,7598,a(flip)),flip(a)]. 7610 K(x,T(y,z * K(x,u))) = K(x,T(y,z)). [para(5062(a,1),7599(a,1,2,2)),flip(a)]. 7611 (T(x,y) \ z) \ z = T((x \ z) \ z,y). [para(7601(a,1),64(a,1,1))]. 7612 x / T(T(y,y \ x),z) = T(y,z) \ x. [para(114(a,2),7601(a,1,2,1))]. 7613 T(x,y) / T(R(x,z,u),w) = T(R(x,z,u),w) \ T(x,y). [para(4503(a,1),7601(a,1,2,1))]. 7614 x / (x / T(y,z)) = T(x / (x / y),z). [para(7603(a,1),61(a,1,2))]. 7615 T(1 / (1 / x),y) \ K(z,x) = K(z,x) / T(x,y). [para(4094(a,1),7603(a,1,1,1))]. 7616 T(K(x,y),R(K(z,x),u,w) * v5) = T(K(x,y),v5). [para(6118(a,1),7609(a,1,2,1))]. 7617 T(K(x,y),z * K(u,x)) = T(K(x,y),z). [para(7326(a,1),7609(a,1,2))]. 7618 K(x,T(y,z * (u * x))) = K(x,T(y,z * (x * u))). [para(6344(a,1),7610(a,1,2,2)),flip(a)]. 7619 K(x,T(y,(z * K(u,x)) * w)) = K(x,T(y,z * w)). [para(6715(a,1),7610(a,1,2,2)),flip(a)]. 7623 x / T((y \ x) \ x,z) != u | T(y,z) \ x = u. [para(7611(a,1),293(a,1,2)),flip(b)]. 7626 ((x \ y) \ y) * (T(x,y) \ y) = x * (y / T(x,y)). [para(7612(a,1),4283(a,1,2))]. 7630 T(K(x,y),z * L(K(u,x),w,v5)) = T(K(x,y),z). [para(6128(a,1),7617(a,1,2,2))]. 7631 (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) != u | K(z,T(x,y)) = u. [para(621(a,2),7147(a,1))]. 7634 T(K(x,y),z) != u | K(x,T(y,z)) = u. [para(6214(a,1),7147(a,1))]. 7637 K(T(x,y),z) != u | K(x,T(z,y)) = u. [para(7198(a,2),7634(a,1))]. 7638 K(x,T(y,x \ z)) != u | K(x,T(y,z)) = u. [para(7493(a,2),7634(a,1))]. 7639 K(L(T(x,y),z,u),w) != v5 | K(L(x,z,u),T(w,y)) = v5. [para(40(a,2),7637(a,1,1))]. 7641 T(x,T(y,z / x)) != u | T(x,T(y,z)) = u. [para(7588(a,2),7182(a,1))]. 7643 K(R(x / y,z,u) / w,y \ x) != v5 | K(w \ R(x / y,z,u),y \ x) = v5. [para(5024(a,1),7184(a,1,2))]. 7644 K(x,R(x,y,z) / u) != w | K(x,u \ R(x,y,z)) = w. [para(7221(a,1),7191(a,1))]. 7646 K(x / y,T(z,y)) != u | K(y \ x,z) = u. [para(14(a,1),7335(a,1,1,1))]. 7647 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(7357(a,1),5830(a,1,1,1,2)),flip(a)]. 7648 K(x \ (y \ (z * y)),y) != u | K(x \ z,y) = u. [para(32(a,1),7383(a,1,1,2))]. 7649 K(x,T((y \ z) \ z,u)) = K(x,T(T(y,z),u)). [para(7440(a,1),7445(a,1,2,1))]. 7650 T(x,L(y,z,K(u,x))) = T(x,y). [hyper(228,a,4667,a,b,7460,a)]. 7651 T(x,(K(y,x) * z) \ (K(y,x) * u)) = T(x,z \ u). [para(102(a,1),7650(a,1,2))]. 7652 K(x,T(y,z / R(x,u,w))) = K(x,T(y,R(x,u,w) \ z)). [para(115(a,1),7556(a,1,2,2)),flip(a)]. 7653 K(x,T(y,z * x)) != u | K(x,T(y,z)) = u. [para(7597(a,1),7373(a,1))]. 7654 K(x / y,L(y,z,u)) != w | K(y \ x,L(y,z,u)) = w. [para(130(a,1),7646(a,1,2))]. 7655 K(x \ T(x * y,z),T(u,x)) != w | K(x \ T(y * x,z),u) = w. [para(4454(a,1),7646(a,1,1))]. 7656 K(R(x * K(y,x),y,z),T(u,y * z)) != w | K((y * z) \ ((y * x) * z),u) = w. [para(4833(a,2),7646(a,1,1))]. 7657 T((x / y) * K(y,z),y) != u * K(y,z) | y \ x = u. [para(6998(a,2),20(a,1))]. 7658 (x / y) \ K(y,z) = y * (x \ K(y,z)). [para(5131(a,1),7003(a,1,2)),flip(a)]. 7659 ((x * (y \ K(x,z))) * (1 / K(x,z))) * (y / x) = K((y / x) \ K(x,z),K(x,z) \ (y / x)). [para(7658(a,1),6853(a,1,1,1))]. 7660 T((x * y) / x,T(x,z)) = T(y,K(x,z)). [hyper(5278,a,7006,a)]. 7661 T(x / y,z) * T(y,K(x / y,z)) = x * K(x / y,z). [hyper(228,a,87,a(flip),b,7006,a)]. 7662 T(x * y,K(y,z)) / y = T(x,K(y,z)). [hyper(228,a,5886,a,b,7660,a(flip)),flip(a)]. 7663 T(T(x,y),K(y,z)) = T(x,T(y,z)). [para(166(a,1),7660(a,1,1)),flip(a)]. 7664 T(T(x,K(y,z)),y) = T(x,T(y,z)). [para(7660(a,1),201(a,1,1))]. 7665 T(T(x,y),K(y,z)) = x * T(K(x,y),z). [hyper(228,a,7181,a,b,7663,a)]. 7666 T(1 / x,T(y,x)) = T(1 / x,y). [para(2060(a,1),7664(a,1,1)),flip(a)]. 7667 L(x,T(y,K(x,z)),x) = L(x,T(y,T(x,z)),x). [para(7664(a,1),4124(a,1,2)),flip(a)]. 7668 x \ T(y,K(x,z)) = T(x \ y,K(x,z)). [hyper(4495,a,7662,a)]. 7669 T(x * y,K(y,z)) = T(x,K(y,z)) * y. [para(7662(a,1),16(a,1,1)),flip(a)]. 7671 T(T(x,1 / y),K(1 / y,z)) = x * K(x,1 / T(y,z)). [para(5816(a,2),7665(a,2,2))]. 7672 T(T(x,y),K(y,z)) != u | T(x,T(y,z)) = u. [para(7665(a,2),7182(a,1))]. 7673 x \ T(L(y,x \ 1,x),K(x,z)) = T((x \ 1) * y,K(x,z)). [para(396(a,1),7668(a,2,1))]. 7677 (x * (y * T(x,z))) \ ((x * y) * T(x,z)) = a(x,y * K(x,z),x). [para(7008(a,1),5219(a,1,2))]. 7678 L(x,y,x) * (x \ z) = (z / x) * L(x,y,x). [para(4717(a,1),7024(a,1,1)),flip(a)]. 7679 R(T(x / y,K(y,x)),z,x / y) = R(x / y,z,y \ x). [para(7511(a,2),7051(a,1,1))]. 7680 (R(x \ y,z,x \ y) / (x \ y)) * (y / x) = R((x \ y) * K(x,x \ y),z,x \ y). [hyper(228,a,6042,a,b,7103,a),flip(a)]. 7681 R(x * K(y,x),z,x) = K(y,x) * R(x,z,x). [hyper(228,a,2507,a(flip),b,7103,a)]. 7682 R(x * K(R(y \ 1,z,u) \ 1,x),w,x) = R(x,w,x) * R(K(y,x),z,u). [para(6122(a,1),7103(a,2,2))]. 7683 K(x,T(y,z) \ x) = K(x,T(y \ x,z)). [hyper(7380,a,7210,a)]. 7684 K(x,T(y,K(z,z \ x)) \ x) = K(x,y \ x). [hyper(228,a,7227,a(flip),b,7683,a)]. 7685 K(x,T(y \ 1,z) \ x) = K(x,T(y * x,z)). [hyper(228,a,6563,a(flip),b,7683,a)]. 7687 K(R((x * y) / x,z,u),T(w,y * x)) = K(R(L(y,x,y),z,u),w). [para(683(a,1),7215(a,1,1,1)),flip(a)]. 7688 K(R(x,y,R(x,z,u)),T(w,y * R(x,z,u))) = K(T(x,y),w). [para(1672(a,1),7215(a,1,1)),flip(a)]. 7689 K(R(T(x,K(y,z)),u,w),z) = K(R(x,u,w),z). [para(2499(a,1),7215(a,2,2))]. 7690 K(x,y) * T(x,K(y,z)) = T(x,T(y,z)). [hyper(228,a,7664,a(flip),b,7246,a)]. 7691 K(x,K(y,z)) * T(x,y) = T(x,T(y,z)). [hyper(5460,a,7690,a)]. 7692 K(x,K(y,z)) = K(z,K(y,x)). [hyper(18,a,7486,a,b,7691,a)]. 7693 K(K(x,y),z) = K(x,K(y,z)). [hyper(5978,a,7692,a)]. 7694 K(x * y,K(y,z)) = K(z,K(y,x)). [hyper(228,a,7487,a,b,7692,a),flip(a)]. 7695 (K(x,y) * z) * K(y,K(x,z)) = z * K(x,y). [para(7692(a,1),93(a,1,2))]. 7696 K(x,K(y,z)) \ K(y,x) = T(K(y,x),z). [para(7692(a,1),4666(a,2,1)),flip(a)]. 7697 x * K(y,K(z,x)) = T(x,K(z,y)). [para(7692(a,1),4705(a,2,2)),flip(a)]. 7698 K(x,K(y,z)) * z = T(z,K(y,x)). [para(7692(a,1),4712(a,2,1)),flip(a)]. 7699 K(x,K(y,z)) \ K(y,x) != u | T(K(y,x),z) = u. [para(7692(a,1),4684(a,1,1))]. 7700 x * K(y,K(z,x)) != u | T(x,K(z,y)) = u. [para(7692(a,1),4708(a,1,2))]. 7702 K(x,K(y,z)) \ 1 = K(z,K(x,y)). [para(7692(a,1),5973(a,1,1))]. 7703 K(x,K(y,z)) != u | K(K(x,y),z) = u. [para(7692(a,1),5978(a,1))]. 7704 K(x,K(y,z)) * K(x,y) = T(K(x,y),z). [para(7692(a,1),5971(a,1,1))]. 7705 K(x,y) * K(x,K(y,z)) = T(K(x,y),z). [para(7692(a,1),5974(a,1,2))]. 7706 K(x,y) * K(x,K(y,z)) = K(x,T(y,z)). [para(7692(a,1),7162(a,1,2))]. 7707 K(x,K(y,z)) * K(x,y) = K(x,T(y,z)). [para(7692(a,1),7163(a,1,1))]. 7708 K(K(R(x \ 1,y,z) \ 1,u),w) = R(K(x,K(u,w)),y,z). [hyper(228,a,6122,a(flip),b,7693,a)]. 7709 R(K(K(x,y),z \ 1),u,w) = K(x,K(y,R(z,u,w) \ 1)). [hyper(228,a,6902,a,b,7693,a(flip)),flip(a)]. 7710 K(x,K(y,z)) \ z = T(z,K(x,y)). [para(7693(a,1),4666(a,2,1)),flip(a)]. 7712 K(x,y) * K(x,K(y,z)) != u | T(K(x,y),z) = u. [para(7693(a,1),4708(a,1,2))]. 7714 (x * K(y,z)) * K(y,K(z,u)) = x * T(K(y,z),u). [para(7693(a,1),5199(a,1,2))]. 7715 K(x,K(y,z)) != u | K(z,K(y,x)) = u. [para(7693(a,1),6012(a,1))]. 7716 K(L(K(x,y),z,u) \ 1,w) = L(K(y,K(x,w)),z,u). [para(7693(a,1),6133(a,2,1))]. 7717 (K(x,y) / z) * K(x,K(y,1 / z)) = T(K(x,y),1 / z) / z. [para(7693(a,1),6537(a,1,2))]. 7718 K(x,K(K(x,y) * z,u)) = K(K(x,z),u). [para(7289(a,1),7693(a,1,1)),flip(a)]. 7719 K(K(x,y) * z,K(x,u)) = K(K(z,x),u). [para(7292(a,1),7693(a,1,1)),flip(a)]. 7720 K(x,K(y,z * y)) = K(x,K(y,z)). [hyper(228,a,7692,a,b,7694,a(flip)),flip(a)]. 7721 K(x,T(y,T(z,K(u,x)))) = K(x,T(y,z)). [para(7697(a,1),7610(a,1,2,2))]. 7722 T(x,K(y,y * z)) = K(z,K(y,x)) * x. [para(7485(a,1),7698(a,1,1)),flip(a)]. 7723 K(x,K(y,z)) = K(y,K(x,z)). [hyper(5976,a,7702,a)]. 7724 K(K(x,y),z) = K(y,K(z,x)). [hyper(4887,a,7702,a)]. 7725 K(x,K(y,z)) != u | K(y,K(x,z)) = u. [para(7702(a,1),5976(a,1))]. 7726 K(x,K(x * y,z)) = K(y,K(x,z)). [hyper(7489,a,7723,a),flip(a)]. 7727 K(K(x,y),z) = K(y,K(x,z)). [hyper(228,a,7693,a,b,7723,a),flip(a)]. 7728 K(x,K(y,z)) = K(z,K(x,y)). [hyper(228,a,7692,a,b,7723,a)]. 7729 x * K(y,K(x,z)) = T(x,K(y,z)). [para(7723(a,1),4705(a,2,2)),flip(a)]. 7730 K(x,K(y,z)) * y = T(y,K(x,z)). [para(7723(a,1),4712(a,2,1)),flip(a)]. 7732 (x * y) * K(z,K(y,u)) = x * T(y,K(z,u)). [para(7723(a,1),5199(a,1,2))]. 7733 K(x,K(y,z)) * (y * u) != w | T(y,K(x,z)) * u = w. [para(7723(a,1),5095(a,1,1))]. 7734 K(x,y) * K(y,K(z,x)) = T(K(x,y),z). [para(7723(a,1),5974(a,1,2))]. 7735 (x * K(y,z)) \ K(y,K(x * K(y,z),z)) = (L(K(y,z),x,K(y,z)) * x) \ 1. [para(7723(a,1),5111(a,1,2))]. 7736 K(x,K(y,L(z,u,K(x,w)))) = K(y,K(x,z)). [para(7437(a,1),7723(a,1,2)),flip(a)]. 7737 x * K(y,K(z,x)) = T(x,K(y,z)). [para(7723(a,1),7697(a,1,2))]. 7738 K(x,K(y,z)) * z = T(z,K(x,y)). [para(7723(a,1),7698(a,1,1))]. 7739 K(K(x,y),z) = K(x,K(z,y)). [hyper(228,a,7692,a,b,7724,a)]. 7740 K(K(x,y),z) = K(z,K(x,y)). [hyper(228,a,7692,a,b,7727,a)]. 7741 K(x,K(y,z)) = K(x,K(z,y)). [hyper(228,a,7724,a(flip),b,7727,a(flip))]. 7742 K(x,K(y,z)) != u | K(z,K(x,y)) = u. [para(7727(a,1),6012(a,1))]. 7743 K(x,K(R(y \ 1,z,u) \ 1,w)) = K(R(K(y,x),z,u),w). [para(6122(a,1),7727(a,1,1)),flip(a)]. 7744 x * K(K(y,z),x) = T(x,K(y,z)). [para(7727(a,2),7697(a,1,2))]. 7745 K(x,y) * K(y,T(x,z)) = K(x,K(y,z)). [hyper(228,a,7185,a,b,7728,a),flip(a)]. 7746 K(x,K(y,z)) * y = T(y,K(z,x)). [para(7728(a,1),4712(a,2,1)),flip(a)]. 7749 x * (K(y,K(z,x)) * u) = T(x,K(y,z)) * u. [para(7728(a,2),4675(a,1,2,1))]. 7750 (x / y) \ T(x,K(z,u)) = y * K(z,K(u,x)). [para(7728(a,2),6262(a,2,2))]. 7751 x * L(K(y,K(z,x)),u,w) = T(x,L(K(y,z),u,w)). [para(7728(a,2),6244(a,1,2,1))]. 7752 K(x,K(y,((1 / z) / (u / z)) \ 1)) * (u / z) = T(u,K(x,y)) / z. [para(7728(a,2),6190(a,1,1))]. 7753 K(x,K(y,T(z,u))) = K(z,K(x,T(y,u))). [para(7202(a,1),7728(a,1,2))]. 7754 K(x,y) * K(x,K(z,y)) = K(x,T(y,z)). [para(7728(a,1),7162(a,1,2))]. 7755 K(x,y) * K(y,K(x,z)) = K(x,T(y,z)). [para(7728(a,2),7162(a,1,2))]. 7756 K(x,K(y,z)) * K(y,x) = K(y,T(x,z)). [para(7728(a,2),7163(a,1,1))]. 7757 x * K(x,K(y,z)) = T(x,K(z,y)). [para(7728(a,1),7697(a,1,2))]. 7758 K(x,K(y,z)) * x = T(x,K(z,y)). [para(7728(a,1),7698(a,1,1))]. 7759 K(x,K(y,z)) / y = 1 / T(y,K(x,z)). [hyper(72,a,7739,a(flip),b,4646,a(flip))]. 7760 K(x,K(y,z)) != u | K(y,K(z,x)) = u. [para(7739(a,1),6012(a,1))]. 7761 K(x,K(y,z)) * K(x,K(y,z)) = 1. [hyper(70,a,7740,a,b,5042,a),flip(a)]. 7762 K(x,y) * K(z,K(x,y)) = T(K(x,y),z). [para(7740(a,1),4705(a,2,2)),flip(a)]. 7763 K(x,K(y,z)) \ u = K(x,K(y,z)) * u. [para(7740(a,1),5035(a,1,1))]. 7764 K(x,K(y,z)) * (x \ u) = T(x,K(y,z)) \ u. [para(7740(a,1),5004(a,1,1))]. 7765 (x / y) * K(y,K(z,u)) = x / T(y,K(z,u)). [para(7740(a,1),5205(a,1,2))]. 7766 K(x,K(y,z)) * u != w | K(x,K(y,z)) \ u = w. [para(7740(a,1),5058(a,1,1))]. 7767 K(x,K(y,z)) * u != w | K(x,K(y,z)) * w = u. [para(7740(a,1),5071(a,1,1))]. 7768 K(x,K(y,z)) \ u != w | K(x,K(y,z)) * u = w. [para(7740(a,1),5072(a,1,1))]. 7769 K(x,K(y,z)) * (x \ u) != w | T(x,K(y,z)) \ u = w. [para(7740(a,1),5008(a,1,1))]. 7771 K(x,K(y,z)) != u | K(x,K(z,y)) = u. [para(7740(a,1),6012(a,1))]. 7772 K(x,K(y / (z \ 1),u)) = K(x,K(u,y * z)). [hyper(228,a,6075,a(flip),b,7741,a)]. 7774 L(K(x,K(y,z)),u,w) = K(x,L(K(z,y),u,w)). [para(7741(a,1),6242(a,1,1))]. 7775 K(x,K(y,((1 / z) / (u / z)) \ 1)) = K(x,(T(u,y) / z) / (u / z)). [para(6456(a,1),7741(a,1,2)),flip(a)]. 7776 K(x,K(y,T(z,u))) = K(x,T(K(z,y),u)). [para(7198(a,1),7741(a,1,2)),flip(a)]. 7777 K(x,K(y,z * y)) = K(x,K(z,y)). [hyper(228,a,7741,a,b,7720,a)]. 7778 K(x,K(y,z * y)) = K(y,K(x,z)). [hyper(228,a,7723,a,b,7720,a)]. 7779 K(x,K(y,z / y)) = K(x,K(y,z)). [para(16(a,1),7720(a,1,2,2)),flip(a)]. 7780 K(x,K(a(y,z,u),(y * z) * u)) = K(x,K(a(y,z,u),y * (z * u))). [para(89(a,1),7720(a,1,2,2))]. 7781 K(x,K(y,y * z)) = K(x,K(y,z)). [para(5433(a,1),7720(a,1,2))]. 7782 K(x,K(y,z \ 1)) = K(x,K(y,z \ y)). [para(5543(a,1),7720(a,1,2)),flip(a)]. 7783 K(x,K(x * y,z)) = K(x,K(y,z)). [hyper(228,a,7723,a,b,7726,a)]. 7784 K(x,K(y,z)) * (y * K(z,u)) = T(y * K(z,u),K(x,z)). [para(7255(a,1),7730(a,1,1,2))]. 7785 T(x,K(y,z)) = T(x,K(z,y)). [hyper(228,a,7697,a(flip),b,7737,a(flip))]. 7786 T(T(x,y),K(z,y)) = T(x,T(y,z)). [hyper(7672,a,7785,a),flip(a)]. 7787 (K(x,y) * z) * K(y,x) = T(z,K(x,y)). [hyper(6091,a,7785,a)]. 7788 T(K(x,y) * z,K(y,x)) = z * K(x,y). [hyper(5994,a,7785,a),flip(a)]. 7789 T(T(x,K(y,z)),K(y,z)) = x. [hyper(5982,a,7785,a)]. 7790 T(x * K(y,z),K(y,z)) = K(y,z) * x. [hyper(5462,a,7785,a),flip(a)]. 7791 x \ T(y,K(x,z)) = T(x \ y,K(z,x)). [hyper(228,a,7668,a,b,7785,a),flip(a)]. 7792 K(x,y) * T(z,K(y,x)) = z * K(x,y). [para(7785(a,1),113(a,1,2))]. 7793 T(T(x,K(y,z)),u) != w | T(T(x,u),K(z,y)) = w. [para(7785(a,1),5427(a,1,1))]. 7794 T(T(x,y),K(z,u)) != w | T(T(x,K(u,z)),y) = w. [para(7785(a,1),5427(a,1))]. 7795 T(T(x,K(y,z)),K(y,z)) != u | u = x. [para(7785(a,1),5982(a,1,1))]. 7796 T(x,K(y,z)) * K(y,z) = K(y,z) * x. [para(7785(a,1),5981(a,1,1))]. 7797 T(T(x,K(y,z)),z) = T(x,T(z,y)). [para(7785(a,1),7664(a,1,1))]. 7798 T(T(x,y),K(z,y)) != u | T(x,T(y,z)) = u. [para(7785(a,1),7672(a,1))]. 7799 ((K(x,y) * z) * u) / (K(x,y) * u) = T(R(z,K(x,y),u),K(x,y)). [para(729(a,2),7789(a,1,1)),flip(a)]. 7800 T(K(x,y),z) * z = z * K(x,y). [para(7789(a,1),4086(a,1,2))]. 7801 T(x,K(y,z)) != u | T(x,K(z,y)) = u. [para(7789(a,1),5982(a,1,1)),flip(b)]. 7802 T(T(T(x,K(y,z)),u),K(y,z)) != w | T(x,u) = w. [para(7744(a,1),5905(a,1,1,1))]. 7803 R(x,T(K(y,z),u),u) = R(x,K(y,z),T(u,K(y,z))). [para(7744(a,1),6659(a,1,3)),flip(a)]. 7804 T(x,K(y,x \ z)) = K(z,K(x,y)) * x. [para(7488(a,1),7746(a,1,1)),flip(a)]. 7806 K(x,K(y,y * z)) = K(y,K(x,z)). [para(5433(a,1),7778(a,1,2))]. 7807 K(x,K(y,y \ z)) = K(x,K(y,z)). [para(4874(a,1),7779(a,1,2))]. 7808 K(x,K(y / z,z)) = K(x,K(y / z,y)). [para(16(a,1),7781(a,1,2,2)),flip(a)]. 7809 K(x,K(y,z)) * K(y * z,y) = K(y * z,T(y,x)). [para(7781(a,1),7163(a,1,1))]. 7810 K(x,K(x \ y,z)) = K(x,K(y,z)). [para(14(a,1),7783(a,1,2,1)),flip(a)]. 7811 T(x,T(y,z)) * K(y,z) = K(y,z) * T(x,y). [para(7786(a,1),5981(a,1,1))]. 7812 (K(x,y) \ z) * K(x,y) = K(x,y) * (z / K(x,y)). [hyper(3814,a,7800,a),flip(a)]. 7813 T(T(K(x,y),z),z) = K(x,y). [hyper(406,a,7800,a)]. 7814 (x * K(y,z)) / x = T(K(y,z),x). [hyper(85,a,7800,a)]. 7815 T(K(x \ y,z),x) = K(y / x,z). [hyper(18,a,7325,a,b,7800,a)]. 7816 T(K(x,y \ z),y) = K(x,z / y). [hyper(18,a,7284,a,b,7800,a)]. 7817 T(K(x,y \ 1),z) = K(x,y \ K(y,z)). [hyper(18,a,6460,a,b,7800,a)]. 7818 T(K(x \ y,z),y) = K(y / x,z). [hyper(18,a,5494,a,b,7800,a)]. 7819 T(K(x,T(y,z)),z) = K(x,y). [hyper(18,a,7174,a(flip),b,7800,a)]. 7820 T(K(1 / T(x,y),z),y) = K(1 / x,z). [hyper(18,a,5862,a(flip),b,7800,a)]. 7821 K(x \ y,z) * y = y * K(y / x,z). [para(5495(a,1),7800(a,1,1))]. 7822 K(x,y \ z) * z = z * K(x,z / y). [para(6208(a,1),7800(a,1,1))]. 7823 K(x,T(y,z)) * z = z * K(x,y). [para(7152(a,2),7800(a,1,1))]. 7824 K(T(x,y),z) * y = y * K(x,z). [para(7198(a,2),7800(a,1,1))]. 7825 L(T(K(x,y),z),u,w) * z = z * L(K(x,y),u,w). [para(7813(a,1),183(a,1,2,1)),flip(a)]. 7826 R(T(K(x,y),z),u,w) * z = z * R(K(x,y),u,w). [para(7813(a,1),184(a,1,2,1)),flip(a)]. 7827 T(K(x,1 / T(y,z)),z) = K(x,1 / y). [para(5816(a,2),7813(a,1,1))]. 7828 K(x,T(T(y,z),z)) = K(x,y). [hyper(7634,a,7819,a)]. 7829 K(T(x,y),T(z,y)) = K(x,z). [hyper(7393,a,7819,a)]. 7831 K(x \ y,T(z,y)) = K(y / x,z). [hyper(5790,a,7819,a)]. 7833 (x * K(y,z)) / x = K(y,T(z,x)). [para(7819(a,1),166(a,1,1,2))]. 7834 x * K(y,z) != u * x | K(y,T(z,x)) = u. [para(7819(a,1),174(a,1,2)),flip(b)]. 7835 R(K(x,T(y,z)),u,w) * z = z * R(K(x,y),u,w). [para(7819(a,1),184(a,1,2,1)),flip(a)]. 7836 K(x,T(y,z)) \ z = z / K(x,y). [para(7819(a,1),6008(a,1,2)),flip(a)]. 7837 K(x \ y,T(z,x)) = K(y / x,z). [hyper(7646,a,7828,a)]. 7838 K((x * y) / x,z) = K(y,T(z,x)). [hyper(7335,a,7828,a),flip(a)]. 7839 K(R(T(x,y),z,u),T(w,y)) = K(R(x,z,u),w). [hyper(228,a,7215,a,b,7828,a(flip)),flip(a)]. 7840 K(L(T(x,y),z,u),T(w,y)) = K(L(x,z,u),w). [hyper(228,a,7214,a,b,7828,a(flip)),flip(a)]. 7841 K(L(x,y,x),z) = K(x,T(T(z,u),u * x)). [hyper(228,a,7597,a(flip),b,7828,a(flip))]. 7842 K(x,T(y \ z,y)) = K(x,z / y). [para(115(a,1),7828(a,1,2,1))]. 7843 K(x,(y * z) / y) = K(x,T(z,y)). [para(165(a,1),7828(a,1,2,1)),flip(a)]. 7844 K(x,y * K(z,y)) = K(x,T(y,z)). [para(4674(a,1),7828(a,1,2,1)),flip(a)]. 7845 K((x * y) / x,z) != u | K(y,T(z,x)) = u. [para(7828(a,1),7335(a,1))]. 7846 K(x / (x / y),z) = K(y,T(z,x)). [hyper(7375,a,7829,a),flip(a)]. 7847 K(T(x,y),z \ y) = K(x,y / z). [hyper(7191,a,7829,a)]. 7849 K(T(x,y),L(T(z,y),u,w)) = K(x,L(z,u,w)). [para(40(a,2),7829(a,1,2))]. 7850 K(T(x,y),R(T(z,y),u,w)) = K(x,R(z,u,w)). [para(42(a,2),7829(a,1,2))]. 7851 K(T(x,y),y \ z) = K(x,z / y). [para(115(a,1),7829(a,1,2))]. 7852 K(x,(y * z) / y) = K(T(x,y),z). [para(165(a,1),7829(a,1,2)),flip(a)]. 7853 K(x,((y * z) * u) / (y * u)) = K(T(x,y),R(z,y,u)). [para(729(a,2),7829(a,1,2)),flip(a)]. 7854 K(T(x,y),R(T(z,y * u),y,u)) = K(x,(y * u) \ ((y * z) * u)). [para(1038(a,1),7829(a,1,2))]. 7855 K(x \ y,T(z,(y * x) / y)) = K(y / x,z). [para(3780(a,1),7829(a,1,1))]. 7856 K(T(x,y \ z),y) = K(x,z / (z / y)). [para(3909(a,1),7829(a,1,2))]. 7857 K(T(x / (x / y),z),u) = K(T(y,z),T(u,y \ x)). [para(3910(a,1),7829(a,1,1)),flip(a)]. 7858 K(x * K(y,x),z) = K(x,T(z,y)). [para(4674(a,1),7829(a,1,1)),flip(a)]. 7859 K(x,y * K(z,y)) = K(T(x,z),y). [para(4674(a,1),7829(a,1,2)),flip(a)]. 7860 T(T(x,y),T(z,y)) = T(x,y) * K(x,z). [para(7829(a,1),4705(a,2,2))]. 7861 x * K(T(x,y),T(z,y)) = T(x,z). [para(7829(a,2),4705(a,2,2)),flip(a)]. 7862 T(T(x,y),T(z,y)) \ x = K(z,x) * K(y,x). [para(7829(a,1),5162(a,1,1)),flip(a)]. 7863 T(x * K(T(y,z),x),z) = K(y,x) * T(x,z). [para(7829(a,1),5403(a,1,1)),flip(a)]. 7864 R(K(x,y),T(y,z) * u,w) = K(T(x,z),R(T(y,z),u,w)). [para(7829(a,1),6923(a,1,1))]. 7865 K(x,T(y,L(z,u,x))) = K(x * K(z,x),y). [para(7122(a,1),7829(a,1,1))]. 7866 K(x,K(y,x * z)) = K(x,K(y,z)). [hyper(228,a,7723,a,b,7806,a(flip)),flip(a)]. 7867 (x / y) * T(K(y \ x,y),z) = (y \ x) * K(z,K(y,x)). [para(7807(a,1),6000(a,2,2))]. 7868 K(x,K(y,x \ z)) = K(x,K(z,y)). [hyper(228,a,7741,a,b,7810,a(flip)),flip(a)]. 7869 x * ((x * K(y,z)) / x) = K(y,z) * x. [para(7814(a,2),113(a,1,2))]. 7871 K(x \ y,T(T(z,x),u)) = K(y / x,T(z,u)). [hyper(228,a,7173,a,b,7815,a(flip)),flip(a)]. 7872 K((x * y) \ z,T(x,y)) = K(z / (x * y),x). [hyper(228,a,6219,a(flip),b,7815,a(flip)),flip(a)]. 7874 K(x / ((y * z) \ y),z) != u | K(((y * z) \ y) \ x,z) = u. [para(7815(a,1),7382(a,1))]. 7876 K(x / y,z / x) != u | K(y \ x,x \ z) = u. [para(7816(a,1),5790(a,1))]. 7877 K(x / y,x / z) = K(y \ x,z \ x). [hyper(6209,a,7818,a),flip(a)]. 7878 K(x \ (y * z),T(y,z)) = K((y * z) / x,y). [hyper(228,a,6219,a(flip),b,7818,a(flip)),flip(a)]. 7879 x / K(x / y,z) = K(y \ x,z) \ x. [para(7818(a,1),6008(a,1,2))]. 7880 K(x,T(y \ z,z)) = K(x,z / y). [hyper(18,a,6207,a,b,7823,a)]. 7881 K(x,T((y \ z) \ 1,y)) = K(x,(z / y) \ 1). [hyper(18,a,5964,a,b,7823,a)]. 7882 K(x,T((y \ z) \ 1,y)) = K(x,y / z). [hyper(18,a,6204,a(flip),b,7823,a)]. 7883 (x * K(y,z)) / (y \ x) = T(y,T(z,x)). [hyper(72,a,7823,a(flip),b,4676,a)]. 7884 K(x,T(y,z)) * z != z * u | K(x,y) = u. [para(7823(a,2),19(a,1))]. 7885 R(T(K(x,T(y,z)),z * u),z,u) = (z * u) \ ((z * K(x,y)) * u). [para(7823(a,1),595(a,1,2,1)),flip(a)]. 7886 (x * K(y,z)) * a(K(y,T(z,x)),u,u \ x) = (K(y,T(z,x)) * u) * (u \ x). [para(7823(a,1),661(a,1,1))]. 7887 T(x,T(y,z)) * z = x * (z * K(x,y)). [para(7823(a,1),4675(a,1,2)),flip(a)]. 7888 (x * K(y,z)) / (y \ x) != u | T(y,T(z,x)) = u. [para(7823(a,1),5000(a,1,1))]. 7889 T(K(x,y),z) * (z / y) = (z / y) * K(x,y). [para(6216(a,1),7823(a,1,1))]. 7890 (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = R(x,K(T(y,z),u),z * K(u,y)) * z. [para(7823(a,1),5077(a,1,1,3)),flip(a)]. 7891 K(x,T(y * K(x,z),u)) = K(x,T(y,u)). [para(7823(a,1),7480(a,1,2,1))]. 7892 K(x,T(y,z)) * (z * K(y,x)) = z. [hyper(5071,a,7824,a)]. 7893 K(K(x,y) * z,u) * z = z * K(z * K(x,y),u). [para(7200(a,1),7824(a,1,1))]. 7894 K(x \ (y \ z),T(y,z)) = K((y \ z) / x,y). [hyper(7147,a,7831,a)]. 7895 K(x \ (K(y,z) * u),T(y,u)) = K((K(y,z) * u) / x,y). [para(7288(a,1),7831(a,1,2))]. 7897 (K(x,T(y,z)) * u) * (u \ z) = z * R(K(x,y),u,u \ z). [para(7833(a,1),794(a,1,1,1))]. 7898 (x * (y * K(z,u))) / (x * y) = L(K(z,T(u,x * y)),y,x). [para(7833(a,1),788(a,1,1)),flip(a)]. 7899 T(K(x,y),z) \ z = z / K(x,y). [para(7152(a,1),7836(a,1,1))]. 7900 K(((x * y) * z) / (x * (y * z)),u) = K(a(x,y,z),T(u,x * (y * z))). [para(24(a,2),7837(a,1,1)),flip(a)]. 7901 K(L(x \ y,x,z),T(u,z * x)) = K((z * y) / (z * x),u). [para(102(a,2),7837(a,1,1))]. 7902 K(x / (y \ z),z / (z / y)) = K((y \ z) \ x,y). [para(3909(a,1),7837(a,1,2)),flip(a)]. 7903 K(x \ y,T(z,x)) / (x \ y) = (1 / (x \ y)) * K(y / x,z). [para(7837(a,1),5215(a,1,2)),flip(a)]. 7904 K((x * K(y,z)) \ u,T(y,x)) = K(u / (x * K(y,z)),y). [para(7057(a,1),7837(a,1,2))]. 7905 K(L((x \ y) / z,z,x),u) = K((x * z) \ y,T(u,z)). [para(799(a,2),7838(a,1,1))]. 7906 K(x \ T(x * y,y),z) = K(y,T(z,x * y)). [para(3785(a,1),7838(a,1,1))]. 7907 ((x * y) / x) * K(y,T(z,x)) = T((x * y) / x,z). [para(7838(a,1),4705(a,2,2)),flip(a)]. 7908 K(x,T(T(y,z),z)) != u | K(x,y) = u. [para(7838(a,1),7335(a,1))]. 7909 K(x,((y * z) * u) / (y * (z * u))) = K(x,T(a(y,z,u),y * (z * u))). [para(24(a,2),7842(a,1,2,1)),flip(a)]. 7910 K(x,(y * (z * u)) / (y * z)) = K(x,T(L(u,z,y),y * z)). [para(28(a,2),7842(a,1,2,1)),flip(a)]. 7912 K(x,T((y * z) \ (y * u),z)) = K(x,L(u / z,z,y)). [para(798(a,1),7843(a,1,2)),flip(a)]. 7913 K(x,T(L(y,z,u),w / y)) = K(x,L(w / (w / y),z,u)). [para(796(a,1),7843(a,1,2)),flip(a)]. 7914 K(x,L(y / (z \ u),z \ u,z)) = K(x,T(u \ (z * y),z \ u)). [para(802(a,1),7843(a,1,2))]. 7915 K(x,y * K(z,y)) != u | K(T(x,z),y) = u. [para(7844(a,2),7329(a,1))]. 7916 K(T(x / (x / y),z),u) = K(T(y,z),T(u,x)). [para(7614(a,1),7846(a,1,1))]. 7918 K(T(x,x \ y),((x \ 1) * y) \ z) = K(x,z / ((x \ 1) * y)). [para(3936(a,1),7851(a,1,1))]. 7919 K(T(x,y),(y * K(z,x)) \ u) = K(x,u / (y * K(z,x))). [para(7065(a,1),7851(a,1,1))]. 7920 ((x * ((y * z) / y)) / x) / ((x * z) / x) = K(T(y,x),z). [hyper(228,a,4851,a,b,7852,a(flip)),flip(a)]. 7921 T(x,(y * z) / y) = x * K(T(x,y),z). [para(7852(a,1),4705(a,2,2))]. 7923 K(x,T(y,K(L(x,z,u),w) * v5)) = K(x * K(v5,x),y). [para(7398(a,1),7858(a,1,1,2)),flip(a)]. 7924 K(x * K(y \ (x * z),x),u) = K(x,T(u,y \ (z * x))). [para(7586(a,1),7858(a,1,1,2))]. 7925 T(x,T(y,z * K(u,z))) = T(x,y * K(T(y,u),z)). [para(7859(a,1),5104(a,1,2,2)),flip(a)]. 7926 x / (K(T(y,z),x) * K(x * K(z,x),z)) = T(x * K(z,x),y). [para(7859(a,1),5482(a,1,2,1))]. 7927 T(x,T(T(y,z),z)) = T(x,y). [hyper(7229,a,7861,a)]. 7928 T(x,T(y \ z,y)) = T(x,z / y). [para(115(a,1),7927(a,1,2,1))]. 7929 T(x,(y * z) / y) = T(x,T(z,y)). [para(165(a,1),7927(a,1,2,1)),flip(a)]. 7930 T(x,T(T(y \ z,u),y)) = T(x,T(z / y,u)). [para(185(a,1),7927(a,1,2,1))]. 7931 T(x,y * K(z,y)) = T(x,T(y,z)). [para(4674(a,1),7927(a,1,2,1)),flip(a)]. 7932 T(T(x,y),T(z,y)) = K(x,y) * T(x,z). [para(7927(a,1),7501(a,1,2)),flip(a)]. 7933 T(x,y) \ T(T(x,z),T(y,z)) = K(x,z). [para(7927(a,1),7503(a,1,1))]. 7934 K(x,T(y \ (z * x),z)) = K(x,(z * x) / y). [hyper(7653,a,7880,a)]. 7935 K(x,T(y \ (x * z),z)) = K(x,(x * z) / y). [hyper(228,a,7494,a(flip),b,7880,a(flip)),flip(a)]. 7936 K(x,y / (y / z)) = K(x,T(z,y)). [para(64(a,1),7880(a,1,2,1)),flip(a)]. 7938 K(x,y) * (z / K(x,y)) = T(z,K(x,y)). [para(7899(a,1),3923(a,1,2))]. 7939 T(x,T(y \ z,y)) = T(x,z * (1 / y)). [hyper(228,a,5666,a,b,7928,a)]. 7940 T(x,y / (y / z)) = T(x,T(z,y)). [hyper(228,a,7093,a(flip),b,7929,a(flip)),flip(a)]. 7941 T(x,R((y * z) / y,u,w)) = T(x,T(R(z,u,w),y)). [para(792(a,2),7929(a,1,2))]. 7942 T(x,K(y,z) \ y) = T(x,T(y,z)). [para(4800(a,2),7929(a,1,2))]. 7943 T(x,T(T(y \ (z \ y),T(z,u)),y)) = T(x,(((z \ 1) \ 1) \ y) / y). [para(6455(a,1),7929(a,1,2,1)),flip(a)]. 7944 T(x,(y \ 1) \ K(z,y)) = T(x,T(y,z)). [hyper(228,a,4345,a,b,7931,a(flip)),flip(a)]. 7945 T(x,K(y,1 / z) / z) = T(x,T(1 / z,y)). [para(2188(a,1),7931(a,1,2))]. 7947 K(x,x \ y) * K(z,T(x,y)) = T(y / (y / x),z) \ x. [para(7936(a,1),6804(a,1,2))]. 7948 (x * K(y,T(z,u))) * K(z,z \ u) = (x / T(u / (u / z),y)) * z. [para(7936(a,1),6642(a,1,1,2))]. 7949 K(x,y / (y / z)) != u | K(T(x,y),z) = u. [para(7936(a,2),7329(a,1))]. 7950 T(x,T(y \ z,z)) = T(x,z / y). [para(61(a,1),7940(a,1,2,2)),flip(a)]. 7951 T(x,x / y) != z | T(x,y \ x) = z. [para(7950(a,1),3999(a,1))]. 7953 K(K(x,y),z) != u | K(z,K(x,y)) = u. [para(7727(a,2),7715(a,1))]. 7955 K(x,K(y,T(z,u))) != w | K(z,K(x,T(y,u))) = w. [para(7202(a,1),7742(a,1,2))]. 7956 K(x,K(y,z * y)) != u | K(x,K(z,y)) = u. [para(7778(a,2),7760(a,1))]. 7957 K(x,K(y,T(z,u))) != w | K(x,K(z,T(y,u))) = w. [para(7202(a,1),7771(a,1,2))]. 7958 K(x,K(y / z,T(u,z))) != w | K(x,K(u,z \ y)) = w. [para(7216(a,2),7771(a,1,2))]. 7959 K(x,y) * (z * K(y,x)) != u | T(z,K(x,y)) = u. [para(5041(a,2),7801(a,1))]. 7960 K(x,T(y \ z,y)) != u | K(x,z / y) = u. [para(115(a,1),7908(a,1,2,1))]. 7961 T(K(x,T(y,z)),z) != u | K(x,y) = u. [para(7152(a,1),7908(a,1))]. 7962 K(T(x,y),T(z,y)) != u | K(x,z) = u. [para(7202(a,2),7908(a,1))]. 7963 K(x \ y,T(z,y)) != u | K(y / x,z) = u. [para(7170(a,1),7908(a,1))]. 7964 K(x \ y,T(z,x)) != u | K(y / x,z) = u. [para(7216(a,1),7908(a,1))]. 7966 K(x,T(y,R(T(x,z),u,w))) != v5 | K(x,y) = v5. [para(7223(a,1),7908(a,1))]. 7968 K(L(T(x,y),z,u),T(w,y)) != v5 | K(L(x,z,u),w) = v5. [para(7214(a,2),7908(a,1))]. 7969 K(R(T(x,y),z,u),T(w,y)) != v5 | K(R(x,z,u),w) = v5. [para(7215(a,2),7908(a,1))]. 7972 T(K(x \ y,z),y) != u | K(y / x,z) = u. [para(7170(a,1),7961(a,1,1))]. 7974 K(T(x,y),T(T(z,y),u)) != w | K(x,T(z,u)) = w. [para(38(a,1),7962(a,1,2))]. 7975 K(T(x,y),R(T(z,y),u,w)) != v5 | K(x,R(z,u,w)) = v5. [para(42(a,2),7962(a,1,2))]. 7976 K(T(x,y),y \ z) != u | K(x,z / y) = u. [para(115(a,1),7962(a,1,2))]. 7977 K(T(x,y),z \ y) != u | K(x,y / z) = u. [para(7115(a,1),7962(a,1))]. 7978 K(x,K(y,T(z,u))) \ K(y,x) = T(K(y,x),T(z,y \ u)). [para(7492(a,1),7696(a,1,1,2))]. 7979 T(K(x,y),T(z,K(y,u))) = K(x,K(y,z)) * K(x,y). [para(7169(a,1),7704(a,1,1,2)),flip(a)]. 7980 T(K(x,y),K(z,y) \ u) = K(x,y) * K(x,K(y,u)). [para(7302(a,1),7705(a,1,2,2)),flip(a)]. 7981 K(x,y) * K(x,K(y,z)) != u | K(x,T(y,z)) = u. [para(7705(a,2),7634(a,1))]. 7982 K(x,K(y,R(T(x,z),u,w))) = 1. [hyper(70,a,7223,a(flip),b,7706,a),flip(a)]. 7983 K(x,K(y,R(x,z,u))) = 1. [hyper(70,a,7221,a(flip),b,7706,a),flip(a)]. 7984 K(x,T(y,z)) != K(x,y) * u | K(x,K(y,z)) = u. [para(7706(a,1),19(a,1))]. 7985 T(x,K(y,R(x,z,u))) = x. [hyper(37,a,7983,a)]. 7986 T(T(x,y),K(z,R(x,u,w))) = T(x,y). [para(7985(a,1),38(a,1,1)),flip(a)]. 7987 K(x,T(y,z)) != u | K(x,y) * K(x,K(y,z)) = u. [para(7707(a,1),5991(a,1))]. 7988 K(x,K(K(x,y) * z,u)) = K(x,K(z,u)). [hyper(228,a,7693,a(flip),b,7718,a)]. 7989 K(K(x,y) * z,K(x,u)) = K(x,K(u,z)). [hyper(228,a,7724,a(flip),b,7719,a)]. 7990 K(K(x,y) * z,K(x,u)) = K(z,K(x,u)). [hyper(228,a,7693,a(flip),b,7719,a)]. 7991 T(K(x,y),T(z,K(u,x))) = K(x,T(y,z)). [hyper(228,a,7152,a(flip),b,7721,a(flip)),flip(a)]. 7992 T(x,K(y,y * z)) = T(x,K(z,y)). [hyper(228,a,7738,a(flip),b,7722,a)]. 7993 T(x,K(y,y * z)) = T(x,K(y,z)). [hyper(228,a,7698,a(flip),b,7722,a)]. 7994 T(x,K(y,z * y)) = T(x,K(z,y)). [para(5433(a,2),7992(a,1,2))]. 7995 T(T(x,K(y,z)),z * y) = T(x,T(z * y,z)). [para(7992(a,1),7797(a,1,1))]. 7996 T(x,K(y,y * z)) != u | T(x,K(y,z)) = u. [para(7992(a,2),7801(a,1))]. 7997 T(x,K(y,y \ z)) = T(x,K(y,z)). [para(14(a,1),7993(a,1,2,2)),flip(a)]. 7998 T(x,K(y,z / y)) = T(x,K(y,z)). [para(5435(a,1),7993(a,1,2)),flip(a)]. 7999 T(x,K(y,z / y)) = T(x,K(y,y * z)). [hyper(228,a,7993,a,b,7998,a)]. 8000 K(x,y) * K(y,K(z,T(x,u))) = T(K(x,y),T(z,u)). [para(7202(a,1),7734(a,1,2,2))]. 8001 K(x,T(y,z)) * K(y,x) = K(y,K(x,z)). [hyper(1764,a,7745,a)]. 8002 K(x,K(y,z)) * K(y,x) != u | K(y,T(x,z)) = u. [para(7745(a,1),5307(a,1,1))]. 8003 K(x,K(T(y,z),u)) = K(y,K(u,T(x,z))). [hyper(7760,a,7753,a)]. 8004 K(x,K(y,T(z,u / x))) = K(z,K(x,T(y,u))). [para(7591(a,1),7753(a,2,2))]. 8005 K(x,K(y,T(z,u))) != w | K(z,K(y,T(x,u))) = w. [para(7753(a,1),7725(a,1))]. 8006 K(x,y) * K(y,K(z,T(x,u))) = K(x,T(y,T(z,u))). [para(7753(a,2),7706(a,1,2))]. 8007 K(x,y / z) * K(x,K(u,z \ y)) = K(x,T(y / z,T(u,z))). [para(7217(a,1),7754(a,1,2,2))]. 8008 K(x * y,x) * K(x,K(y,z)) = K(x * y,T(x,z)). [para(7783(a,1),7755(a,1,2))]. 8009 T(x,K(y,z)) * K(y,x) = x * K(y,T(x,z)). [para(7756(a,1),4675(a,1,2)),flip(a)]. 8010 R(K(x,y),z,u) \ R(T(K(x,y),w),z,u) = K(w,R(K(x,y),z,u)). [para(7762(a,1),5832(a,1,2,1))]. 8011 K(x,K(y,T(1 / L(1 / z,u,w),v5))) = K(x,T(L(K(z,y),u,w),v5)). [para(6137(a,1),7776(a,2,2,1))]. 8012 T(x * T(y,z),K(y,z)) = K(y,z) * (x * y). [para(5199(a,1),7790(a,1,1))]. 8013 T(K(x,y) * z,K(y,x) * (z * K(x,y))) = L(z * K(x,y),K(y,x),z * K(x,y)). [para(7790(a,1),5983(a,1,1))]. 8014 T(x \ K(x,y),K(z,x)) = x \ K(x,y). [para(5986(a,1),7791(a,1,2)),flip(a)]. 8015 K(x,y) \ (z / K(y,x)) = T(z,K(y,x)). [hyper(71,a,5063,a,b,7792,a)]. 8016 K(x,y) * z != u * K(x,y) | T(u,K(y,x)) = z. [para(7792(a,1),19(a,1)),flip(a)]. 8017 T(x,K(y,x \ z)) = T(x,K(y,z)). [hyper(228,a,7746,a(flip),b,7804,a)]. 8018 T(x,K(y,x \ z)) = T(x,K(z,y)). [hyper(228,a,7730,a(flip),b,7804,a)]. 8019 T(x,K(y,z / x)) = T(x,K(y,z)). [hyper(228,a,7317,a,b,8017,a(flip)),flip(a)]. 8020 T(x,K(y,x * z)) = T(x,K(y,z)). [para(13(a,1),8017(a,1,2,2)),flip(a)]. 8021 T(x,K(y,z / x)) = T(x,K(z,y)). [hyper(228,a,7317,a,b,8018,a(flip)),flip(a)]. 8022 T(x,K(y,z * x)) = T(x,K(y,z)). [para(15(a,1),8019(a,1,2,2)),flip(a)]. 8023 T(x,K(y,x * z)) = T(x,K(z,y)). [hyper(228,a,7785,a,b,8020,a)]. 8024 T(x,K(y,z)) * K(y,z * x) = K(y,z * x) * x. [para(8022(a,1),7796(a,1,1))]. 8025 T(T(x,K(y,z)),x * y) = T(x,T(x * y,z)). [para(8023(a,1),7797(a,1,1))]. 8026 K(x,K(y \ z,y)) = K(x,K(z / y,z)). [para(4882(a,1),7808(a,1,2))]. 8027 K(x,K(y,z \ K(z,x))) = K(x,K(y,z \ 1)). [para(7817(a,1),4871(a,1,2))]. 8028 K(1 / T(T(x,y),y),z) = K(1 / x,z). [hyper(228,a,5859,a,b,7820,a(flip)),flip(a)]. 8029 K(x \ y,z) \ (y * K(y / x,z)) != u | u = y. [para(7821(a,1),284(a,1,2))]. 8030 K(x / y,z) * K(K(y \ x,z) * x,x) = x \ T(x * K(x / y,z),x). [para(7821(a,2),5292(a,2,2,1)),flip(a)]. 8031 K(x \ (y \ z),y) * z = z * K(z / (y * x),y). [para(7118(a,1),7821(a,1,1))]. 8032 K(x,1 / T(T(y,z),z)) = K(x,1 / y). [hyper(228,a,5816,a,b,7827,a(flip)),flip(a)]. 8033 T(T(x,y),T(z,y)) != u | K(x,z) * T(x,y) = u. [para(7860(a,2),3167(a,1))]. 8034 T(x * K(y,z),u) / x = x \ T(K(y,z) * x,u). [para(7869(a,1),4452(a,1,2,1)),flip(a)]. 8035 K(x / y,z \ (x / y)) = K(y \ x,(z * y) \ x). [hyper(6968,a,7877,a)]. 8036 K(x,T(y \ 1,z)) = K(x,z / (z * y)). [para(13(a,1),7882(a,1,2,1,1))]. 8037 (x * (K(y,z) * K(x,u))) * K(z,y) = T(x,T(u,K(y,z))). [hyper(5064,a,7887,a)]. 8038 (x * (K(y,z) * K(x,u))) * K(z,y) != w | T(x,T(u,K(y,z))) = w. [para(7887(a,1),5065(a,1,1)),flip(b)]. 8039 R(K(x,y),T(y,T(z,u)) * u,w) = K(x,R(y,u * K(y,z),w)). [para(7887(a,2),6923(a,1,2))]. 8040 K(x,T(T(K(y,x) * z,u),w)) = K(x,T(T(z,u),w)). [para(6583(a,1),7891(a,1,2,1)),flip(a)]. 8041 T(x,R((y * z) / y,u,w)) = x * K(T(x,y),R(z,u,w)). [para(792(a,2),7921(a,1,2))]. 8042 T(x,(y * z) / y) != u | T(x,T(z,y)) = u. [para(7921(a,2),7229(a,1))]. 8043 (T(T(x,y),T(z,y)) * u) / (T(K(x,y),T(x,z)) * u) = R(T(x,z),T(K(x,y),T(x,z)),u). [para(7932(a,2),180(a,1,1,1))]. 8044 L(x \ (y / K(z,u)),x,K(z,u)) = (K(z,u) * x) \ T(y,K(z,u)). [para(7938(a,1),102(a,2,2))]. 8045 T(1 / x,y * (1 / x)) = T(1 / x,x \ y). [hyper(228,a,7666,a(flip),b,7939,a(flip))]. 8046 K(x,K(K(x,y) \ z,u)) = K(x,K(z,u)). [para(14(a,1),7988(a,1,2,1)),flip(a)]. 8047 K(x,K(y,K(x,z) * u)) = K(x,K(y,u)). [hyper(7760,a,7989,a)]. 8048 K(K(x,y) * z,K(y,u)) = K(z,K(y,u)). [para(5042(a,1),7990(a,1,1)),flip(a)]. 8049 R(x,K(y,z) * u,K(u,K(y,w))) = x. [para(7990(a,1),5506(a,1,3))]. 8050 R(x,K(y,z),T(u,K(y,w))) = R(x,K(y,z),u). [hyper(6802,a,8049,a)]. 8051 K(x,K(y \ z,T(y,u))) = K(y,K(z,T(x,u))). [hyper(228,a,7868,a(flip),b,8003,a(flip))]. 8052 T(x \ K(x,y),T(x,z)) = T(x \ K(x,y),x). [para(8014(a,1),7797(a,1,1)),flip(a)]. 8053 K(x,K(y / z,y)) = K(x,K(z,z \ y)). [hyper(7771,a,8026,a),flip(a)]. 8054 T(x,1 / T(T(y,z),z)) = x / K(1 / y,x). [para(8028(a,1),4658(a,2,2))]. 8055 K(x,1 / T(y,z / y)) = K(x,1 / (z / (z / y))). [para(188(a,1),8032(a,1,2,2,1))]. 8056 K(K(x,y) \ z,K(x,u)) = K(x,K(z,u)). [hyper(7725,a,8046,a)]. 8057 K(x,K(y,(z / x) \ u)) = K(x,K(y,(x \ z) \ u)). [para(5915(a,1),8047(a,1,2,2)),flip(a)]. 8058 K(x,K(y / z,y)) = K(x,K(z,y)). [hyper(228,a,7807,a(flip),b,8053,a)]. 8059 K(x,K(y / z,y)) = K(y,K(x,z)). [hyper(228,a,7728,a(flip),b,8058,a)]. 8060 K(x,K(y \ z,z)) = K(x,K(y,z)). [para(61(a,1),8058(a,1,2,1)),flip(a)]. 8061 K(x,K(y,y / z)) = K(y,K(x,z)). [hyper(7771,a,8059,a)]. 8062 K(x,K(y,x / z)) = K(x,K(y,z)). [hyper(7742,a,8059,a)]. 8063 K(x,K(x / y,z)) = K(x,K(z,y)). [hyper(7715,a,8059,a)]. 8064 K(x,K(y \ z,z)) = K(z,K(x,y)). [para(5497(a,1),8059(a,1,2))]. 8065 K(x,K(y,z \ y)) = K(x,K(z,y)). [hyper(7771,a,8060,a)]. 8066 K(x,K(y,x / z)) = K(x,K(z,y)). [hyper(228,a,7741,a,b,8062,a)]. 8067 K(x,K(y,z \ x)) = K(x,K(y,z)). [para(61(a,1),8062(a,1,2,2)),flip(a)]. 8068 K(x,K(x / y,z)) = K(x,K(y,z)). [hyper(228,a,7741,a,b,8063,a)]. 8069 K(x,K(y,z \ x)) = K(x,K(z,y)). [para(61(a,1),8063(a,1,2,1)),flip(a)]. 8070 K(x,K(x / y,z)) != u | K(x,K(y,z)) = u. [para(8063(a,2),7771(a,1))]. 8071 K(x,K(y \ z,z)) != u | K(x,K(y,z)) = u. [para(8064(a,2),7760(a,1))]. 8072 K(x,K(y,z \ y)) = K(x,K(y,z)). [hyper(228,a,7741,a,b,8065,a)]. 8073 K(x,K(y,z \ 1)) = K(x,K(z,y)). [hyper(228,a,7782,a,b,8065,a(flip)),flip(a)]. 8074 K(x,K(y,z)) != u | K(x,K(x / y,z)) = u. [para(8066(a,1),7771(a,1))]. 8075 K(x,K(y,z \ x)) = K(z,K(x,y)). [hyper(228,a,7728,a(flip),b,8067,a)]. 8076 T(x,K(y,z \ x)) = x * K(x,K(z,y)). [para(8069(a,1),4705(a,2,2))]. 8077 K(x,K(y,z \ 1)) = K(x,K(y,z)). [hyper(228,a,7782,a,b,8072,a(flip)),flip(a)]. 8078 K(x,K(y \ 1,z)) = K(x,K(y,z)). [hyper(7771,a,8073,a)]. 8079 K(x \ 1,K(y,z)) = K(y,K(x,z)). [hyper(7742,a,8073,a)]. 8080 K(x,K(y,z \ 1)) = K(z,K(x,y)). [hyper(228,a,7723,a,b,8073,a)]. 8081 K(x,K(y,1 / z)) = K(x,K(z,y)). [para(3240(a,2),8073(a,1,2))]. 8082 K(x,K(y,z / (u * z))) = K(x,K(u,y)). [para(5413(a,2),8073(a,1,2))]. 8083 K(x,K(y \ z,u)) = K(x,K(u,z \ y)). [para(5558(a,1),8073(a,1,2)),flip(a)]. 8084 K(x,K(y,z \ 1)) != u | K(x,K(y,z)) = u. [para(8073(a,2),7771(a,1))]. 8085 K(x,K(y \ 1,z)) = K(z,K(x,y)). [hyper(7760,a,8077,a)]. 8086 K(x \ 1,K(y,z)) = K(y,K(z,x)). [hyper(7742,a,8077,a)]. 8087 K(x,K(y,1 / z)) = K(x,K(y,z)). [para(64(a,1),8077(a,1,2,2)),flip(a)]. 8088 K(x,K(y,z / u)) = K(x,K(y,u / z)). [para(5410(a,1),8077(a,1,2))]. 8089 K(x,K(y,z / (u * z))) = K(x,K(y,u)). [para(5413(a,2),8077(a,1,2))]. 8090 K(x,K(y,(z \ 1) / u)) = K(x,K(y,u * z)). [para(5538(a,1),8077(a,1,2)),flip(a)]. 8091 T(x,K(y,z \ 1)) = K(y,K(x,z)) * x. [para(8077(a,1),7730(a,1,1)),flip(a)]. 8092 K(x,y) * K(x,K(y,z)) = T(K(x,y),z \ 1). [para(8077(a,1),7705(a,1,2))]. 8093 (x * K(y \ 1,z)) \ K(x,K(y,z)) = (K(y \ 1,z) * x) \ 1. [hyper(71,a,8078,a(flip),b,5183,a(flip))]. 8094 K(x,y * ((z \ (y \ 1)) * z)) = K(x,K(y * z,z)). [para(6141(a,2),8078(a,1,2))]. 8095 K(x \ 1,K(y,z)) = K(x,K(y,z)). [hyper(228,a,7723,a,b,8079,a)]. 8096 T(1 / x,K(y,z)) = K(y,K(x,z)) / x. [hyper(72,a,8079,a(flip),b,4959,a),flip(a)]. 8097 K(1 / x,K(y,z)) = K(y,K(z,x)). [para(64(a,1),8080(a,1,2,2)),flip(a)]. 8098 K(x,K(y,1 / z)) = K(z,K(x,y)). [para(3240(a,2),8080(a,1,2))]. 8100 K(x,K(y,1 / z)) != u | K(x,K(y,z)) = u. [para(8081(a,2),7771(a,1))]. 8101 K(x,K(y,(z \ 1) / (u / z))) = K(y,(T(u,x) / z) / (u / z)). [para(6149(a,1),8085(a,1,2)),flip(a)]. 8102 L(K(x \ 1,K(y,z)),u,w) = K(y,K(z,L(x,u,w))). [hyper(6487,a,8086,a)]. 8103 K(x,K(y,(1 / z) / u)) = K(x,K(y,u * z)). [para(308(a,2),8087(a,1,2,2))]. 8104 (T(x * y,K(z,u)) / y) / x = K(z,K(u,(1 / y) / x)). [hyper(228,a,5868,a(flip),b,8097,a(flip)),flip(a)]. 8105 K(1 / x,K(y,z)) != u | K(y,K(x,z)) = u. [para(8097(a,2),7771(a,1))]. 8106 K(K(x,y) \ z,T(K(x,u),w)) = K(x,K(z,T(u,w))). [para(7152(a,1),8056(a,1,2))]. 8107 T(x,K(y,z \ x)) = T(x,K(y,z)). [hyper(228,a,7757,a(flip),b,8076,a)]. 8108 T(x,K(y,x / z)) = T(x,K(y,z)). [hyper(6213,a,8107,a)]. 8109 T(x,K(y,z)) * K(y,z \ x) = K(y,z \ x) * x. [para(8107(a,1),7796(a,1,1))]. 8110 K(1 / ((1 / x) / y),K(z,(y * x) / u)) = (T(y * x,K(z,u)) / x) / y. [para(8108(a,1),5868(a,2,1,1))]. 8111 K(x,K(y,z / (u * z))) != w | K(x,K(y,u)) = w. [para(8082(a,2),7771(a,1))]. 8112 K(x,K(y \ (z * u),u \ (z \ 1))) = K(x,K(z * u,(z \ y) \ u)). [para(6567(a,1),8083(a,1,2)),flip(a)]. 8113 K(x,K(y,z \ u)) != w | K(x,K(y,u \ z)) = w. [para(8083(a,1),7771(a,1))]. 8114 K(x,K(y,z / (u * z))) != w | K(x,K(u,y)) = w. [para(8089(a,2),7771(a,1))]. 8115 T(x,K(y,z \ 1)) = T(x,K(z,y)). [hyper(228,a,7746,a(flip),b,8091,a)]. 8116 T(x,K(y,z \ 1)) = T(x,K(y,z)). [hyper(228,a,7730,a(flip),b,8091,a)]. 8117 T(x,K(y \ 1,z)) = T(x,K(y,z)). [hyper(7801,a,8115,a)]. 8118 T(x,K(y \ 1,z)) = T(x,K(z,y)). [para(3236(a,1),8115(a,1,2)),flip(a)]. 8119 T(x,K(y \ z,u)) = T(x,K(u,z \ y)). [para(5558(a,1),8115(a,1,2)),flip(a)]. 8120 T(T(x,y),K(y,z)) = T(x,T(y,z \ 1)). [hyper(7672,a,8116,a),flip(a)]. 8121 T(x,K(y,1 / z)) = T(x,K(y,z)). [para(64(a,1),8116(a,1,2,2)),flip(a)]. 8122 K(x,y \ 1) * T(z,K(x,y)) = z * K(x,y \ 1). [para(8116(a,1),113(a,1,2))]. 8123 T(x,K(y \ 1,z)) != u | T(x,K(z,y)) = u. [para(8117(a,2),7801(a,1))]. 8124 T(x,K(y,z)) != u | T(x,K(y,z \ 1)) = u. [para(8118(a,1),7801(a,1))]. 8125 1 / T(x,K(y,z)) = T(1 / x,K(y,z)). [hyper(228,a,7759,a(flip),b,8096,a),flip(a)]. 8126 T(x,K(y \ z,z)) = T(x,K(z,y)). [hyper(228,a,7997,a(flip),b,8119,a)]. 8127 T(x,K(y,y / z)) = T(x,K(z,y)). [para(64(a,1),8126(a,1,2,1)),flip(a)]. 8128 T(x,T(y,z \ 1)) = T(x,T(y,z)). [hyper(7672,a,8120,a),flip(a)]. 8129 T(T(x,y),K(y,z / u)) = T(x,T(y,(z * (u \ 1)) \ 1)). [hyper(228,a,6074,a(flip),b,8120,a(flip)),flip(a)]. 8130 T(x,T(y,z \ 1)) != u | T(x,T(y,z)) = u. [para(8120(a,1),7672(a,1))]. 8131 T(x,T(y,z \ 1)) = x * K(x,T(y,z)). [hyper(228,a,4705,a(flip),b,8128,a)]. 8132 T(x,T(y,z \ 1)) != x * u | K(x,T(y,z)) = u. [para(8128(a,2),4771(a,1))]. 8133 T(x,T(y,(z * u) \ z)) = T(x,T(y,u)). [para(5679(a,2),8128(a,1,2))]. 8134 T(1 / (x * K(y,z)),K(z,y)) = 1 / (K(y,z) * x). [para(5079(a,1),8125(a,1,2)),flip(a)]. 8135 T(K(x,y),z \ 1) = K(x,T(y,z)). [hyper(7319,a,8131,a)]. 8136 K(x,T(y,z \ 1)) = K(x,T(y,z)). [hyper(4771,a,8131,a)]. 8138 (x \ 1) * K(y,T(z,x)) = K(y,z) * (x \ 1). [para(8135(a,1),113(a,1,2))]. 8140 (1 / x) * K(y,T(z,x)) = K(y,z) * (1 / x). [para(8135(a,1),3106(a,1,2))]. 8142 K(x,T(y,z \ x)) = K(x,T(y,z)). [hyper(228,a,7595,a(flip),b,8136,a(flip)),flip(a)]. 8143 K(x,T(y * z,z)) = K(x,T(y * z,y)). [hyper(228,a,7154,a(flip),b,8136,a(flip)),flip(a)]. 8144 K(x,T(y,1 / z)) = K(x,T(y,z)). [para(64(a,1),8136(a,1,2,2)),flip(a)]. 8145 K(x,T(y,z \ u)) = K(x,T(y,u \ z)). [para(5675(a,1),8136(a,1,2))]. 8146 K(x * y,T(z,y)) = K(x * y,T(z,x)). [para(13(a,1),8142(a,1,2,2))]. 8147 T(x * y,T(z,y)) = T(x * y,T(z,x)). [hyper(7561,a,8133,a),flip(a)]. 8148 K(x \ y,T(z,y \ x)) = K(x \ y,z). [hyper(4888,a,8145,a),flip(a)]. 8150 K(x,T(y,z \ y)) != u | K(x,T(y,z)) = u. [para(8145(a,1),7147(a,1))]. 8151 K(x,T(y,z \ x)) != u | K(x,T(y,z)) = u. [para(8145(a,1),7638(a,1))]. 8152 K(x * L(y,z,u),T(y,x)) = K(x * L(y,z,u),y). [para(260(a,1),8146(a,1,2)),flip(a)]. 8153 K(L(x,y,z) * u,T(x,u)) = K(L(x,y,z) * u,x). [para(260(a,1),8146(a,2,2))]. 8154 K(x * R(y,z,u),T(y,x)) = K(x * R(y,z,u),y). [para(602(a,1),8146(a,1,2)),flip(a)]. 8155 T(x * L(L(y,z,u),w,v5),T(y,x)) = T(x * L(L(y,z,u),w,v5),y). [para(907(a,1),8147(a,1,2)),flip(a)]. 8156 (x \ y) * K(x,K(y,z)) != u | T(x \ y,K(z,y)) = u. [para(8075(a,1),7700(a,1,2))]. 8157 K(R((x * y) / x,z,u),w) != v5 | K(R(y,z,u),T(w,x)) = v5. [para(792(a,2),7845(a,1,1))]. 8158 K(L((x \ y) / z,z,x),u) != w | K((x * z) \ y,T(u,z)) = w. [para(799(a,2),7845(a,1,1))]. 8159 K(x * K(y,x),z) != u | K(x,T(z,y)) = u. [para(4673(a,1),7845(a,1,1))]. 8160 K(T(x * K(y,x),z),u) != w | K(T(x,z),T(u,y)) = w. [para(4747(a,2),7845(a,1,1))]. 8161 K(x,T(y,L(z,u,x))) = K(x,T(y,z)). [hyper(228,a,7858,a(flip),b,7865,a)]. 8162 K(x,T(y,(x \ z) \ u)) = K(x,T(y,z \ (x * u))). [para(458(a,1),8161(a,1,2,2)),flip(a)]. 8164 K(T(x,y \ z),y) != u | K(T(x,z),y) = u. [para(7856(a,2),7949(a,1))]. 8165 K(x,y \ T(z * y,u)) != w | K(x,T(y * z,u) / y) = w. [para(4472(a,1),7960(a,1,2))]. 8166 K(x,T((y \ x) \ z,y)) != u | K(x,z / (y \ x)) = u. [para(8142(a,1),7960(a,1))]. 8167 K(x \ (y * z),T(y,z)) != u | K((y * z) / x,y) = u. [para(7101(a,1),7963(a,1))]. 8168 K(((x \ y) \ y) \ y,z) != u | K(y / x,z) = u. [para(7166(a,2),7963(a,1))]. 8170 K(L(x,y,z) \ u,x) != w | K(u / L(x,y,z),x) = w. [para(260(a,1),7964(a,1,2))]. 8171 K(T(x \ y,x),z) != u | K(y / x,z) = u. [para(7202(a,2),7964(a,1))]. 8174 K(x \ (y * T(z,u)),T(z,y)) != w | K((y * T(z,u)) / x,z) = w. [para(7482(a,1),7972(a,1))]. 8176 K(x,T(y \ z,z)) != u | K(x,z / y) = u. [para(7202(a,1),7977(a,1))]. 8177 T(x,K(y,z / y)) != u | T(x,K(y,z)) = u. [para(7999(a,2),7996(a,1))]. 8178 T(x,y * K(z,y)) != u | T(x,T(y,z)) = u. [para(4673(a,1),8042(a,1,2))]. 8179 K(x / y,K(x,z)) != u | K(x,K(y,z)) = u. [para(7723(a,1),8070(a,1))]. 8180 K(x,K(y,z \ (u \ 1))) != w | K(x,K(y,u * z)) = w. [para(118(a,1),8084(a,1,2,2))]. 8181 K(x,K(y,z / u)) != w | K(x,K(y,u / z)) = w. [para(5410(a,1),8084(a,1,2))]. 8182 K(x,K(y,(1 / z) / u)) != w | K(x,K(y,u * z)) = w. [para(308(a,2),8100(a,1,2,2))]. 8183 K(x,T(y,z \ 1)) != u | K(x,T(y,z)) = u. [para(7150(a,2),8150(a,1))]. 8184 K(x,T(y * (z \ x),y)) != u | K(x,T(y * (z \ x),z)) = u. [para(8143(a,1),8151(a,1))]. 8186 T(x,K(y,y \ z)) != u | T(x,K(y,z)) = u. [para(4874(a,1),8177(a,1,2))]. 8187 K(x,T(y,z / u)) != w | K(x,T(y,u / z)) = w. [para(4109(a,1),8183(a,1,2))]. 8188 K(x,T(y,z \ u)) != w | K(x,T(y,u \ z)) = w. [para(5675(a,1),8183(a,1,2))]. 8191 (x \ y) * K(z,T(x,y)) = T(x,z) \ y. [hyper(228,a,5004,a(flip),b,7290,a)]. 8192 (x \ L(T(x,y),z,u)) * K(w,x) = T(x,w) \ L(T(x,y),z,u). [para(785(a,1),8191(a,1,2,2))]. 8193 K(x,T(y,x) \ z) != u | K(x,y \ z) = u. [para(8191(a,1),7129(a,1,2))]. 8194 K(x,(x \ y) \ z) != u | K(x,(y / x) \ z) = u. [para(115(a,1),8193(a,1,2,1))]. 8195 (K(x,y) / z) * K(u,K(y,1 / z)) = T(K(x,y) / z,K(u,y)). [para(7314(a,1),7737(a,1,2))]. 8196 K(T(x,y \ x) / y,z \ x) * (x / y) = T(T(T(x,y \ x) / y,x),x / z). [para(3768(a,1),7324(a,1,2))]. 8197 K(x \ y,z \ (x \ y)) * (y / x) = T(y / x,T((x * z) \ y,x)). [para(6304(a,1),7333(a,1,1))]. 8198 T(x,T(y,z) \ x) = T(x,T(y \ x,z)). [hyper(228,a,7073,a(flip),b,7348,a(flip)),flip(a)]. 8201 (x / R(y,z,y)) * y != y * u | R(y,z,y) \ x = u. [para(7447(a,2),19(a,1))]. 8202 T(x,(y * x) \ z) = T(x,y \ (x \ z)). [hyper(228,a,7297,a(flip),b,7451,a(flip))]. 8203 T(x,L(x \ y,x,z)) = T(x,z \ (x \ (z * y))). [para(102(a,2),8202(a,1,2))]. 8204 K(((x \ 1) \ y) \ z,y) = K(x \ (y \ z),y). [hyper(6484,a,7474,a)]. 8205 T(x * y,x) / T(x,y) = y * K(x * y,x). [hyper(228,a,5292,a(flip),b,7483,a)]. 8206 K(x,T(y,z \ (u * y))) = K(x,T(y,z \ u)). [para(6309(a,1),7484(a,1,2))]. 8207 K(x,T(y / (x * z),z)) = K(x,z \ (x \ y)). [hyper(228,a,7015,a(flip),b,7498,a)]. 8208 K(x,y) * (x * z) != (x * z) * u | K(x,T(y,z)) = u. [para(7499(a,1),19(a,1))]. 8209 (x * y) * K(x,K(z,T(u,y))) = K(x,K(z,u)) * (x * y). [para(7152(a,2),7499(a,1,2,2))]. 8210 K(x * (((y \ 1) \ z) / z),y) = K(x * (z \ ((y \ 1) \ z)),y). [para(3879(a,1),7506(a,1,1,2)),flip(a)]. 8211 K(x,T((y / z) \ 1,y)) = K(x,y \ z). [hyper(7282,a,7516,a)]. 8214 K(x,T(y \ 1,z)) = K(x,z \ (y \ z)). [para(61(a,1),8211(a,1,2,1,1))]. 8215 K(x,y / (y * z)) = K(x,y \ (z \ y)). [hyper(228,a,8036,a(flip),b,8214,a(flip)),flip(a)]. 8216 K(T(x,y) * z,T(T(x,u),w)) = T(T(x,u),w) \ T(T(x,u) * K(x * z,T(x,u)),w). [para(7529(a,1),5404(a,1,2,1,2)),flip(a)]. 8217 (x * y) * (z * (((x * y) \ x) / z)) = x * K(z,y \ (z \ 1)). [para(7534(a,1),6991(a,2,2))]. 8218 T(T(x,y) * (x \ z),x) = T(x,y) * (x \ T(z,x)). [hyper(171,a,7544,a,b,1053,a)]. 8220 T(x * y,T(z,x)) != u | T(x * y,T(z,y)) = u. [para(7563(a,1),8130(a,1))]. 8221 T((1 / ((x * y) \ x)) * K(y,z),y) = ((1 / ((x * y) \ x)) / y) * T(y,z). [para(6418(a,1),7580(a,1,1,1)),flip(a)]. 8222 K(x,y) * (z * x) = z * T(x,T(y,z)). [hyper(5201,a,7596,a),flip(a)]. 8223 T(x,y) * T(z,x) = z * T(x,T(y,z)). [hyper(5724,a,8222,a)]. 8224 K(x,y) \ (z * y) = z * T(y,T(x,z)). [hyper(5058,a,8222,a)]. 8225 K(x,T(y,z)) * (z * x) = z * T(x,y). [para(7927(a,1),8222(a,2,2))]. 8227 T(x,T(y,z)) * T(z,x) = z * T(x,y). [para(7927(a,1),8223(a,2,2))]. 8228 K(x,y) \ (R(x,z,u) * y) = R(x,z,u) * T(y,x). [para(602(a,1),8224(a,2,2,2))]. 8229 K(x,T(y,z)) \ (z * y) = z * T(y,x). [hyper(228,a,7230,a,b,8225,a(flip)),flip(a)]. 8230 (x * T(y,z)) / T(x,y) = T(y,T(z,x)). [hyper(72,a,8225,a(flip),b,4979,a(flip))]. 8231 T(K(x,y),z) * ((x \ z) * x) = (x \ z) * T(x,y). [para(7493(a,1),8225(a,1,1))]. 8232 (x * ((y \ z) \ z)) / T(x,y) = T(y,T(y \ z,x)). [hyper(72,a,246,a(flip),b,8227,a)]. 8233 (x * T(y,z)) / T(x,y) != u | T(y,T(z,x)) = u. [para(8227(a,1),295(a,1,1)),flip(b)]. 8234 (x * T(y,z \ y)) / T(x,y) = T(y,T(y * (z \ 1),x)). [para(1713(a,1),8230(a,1,1,2))]. 8235 T(x,T(y * K(x,z),u)) = (u * T(x,y)) / T(u,x). [para(7057(a,1),8230(a,1,1,2)),flip(a)]. 8236 K(x * K(T(x,y),z),T(u,y)) = K(K(y,x) * T(x,z),u). [para(7604(a,1),7829(a,1,1))]. 8238 K(x,T(y \ x,z / y)) = K(x,T(y \ x,y \ z)). [para(115(a,1),7607(a,1,2,2)),flip(a)]. 8239 x / R(y * K(z,y),u,y) = (x / R(y,u,y)) * K(y,z). [para(7681(a,2),6654(a,1,2))]. 8240 K(x,(K(y \ x,y) * z) \ x) = K(x,(z * K(y \ x,y)) \ x). [para(5079(a,1),7684(a,1,2,1))]. 8241 K(x,T((y \ z) * x,z)) = K(x,y \ ((((y \ z) \ 1) \ y) * x)). [hyper(228,a,6307,a(flip),b,7685,a(flip))]. 8242 K(R(K(x,y) * z,u,w),y) = K(R(z * K(x,y),u,w),y). [para(5987(a,1),7689(a,1,1,1)),flip(a)]. 8243 T(x,y * T(z,K(x,u))) = T(x,y * z). [para(7732(a,1),7057(a,1,2))]. 8245 x \ T(x * y,K(z,u)) = y * K(z,K(u,x * y)). [para(15(a,1),7750(a,1,1))]. 8246 K(x,K(y,z)) * ((K(x,u) * z) \ w) = T(K(x,u) * z,K(x,y)) \ w. [para(7989(a,1),7764(a,1,1))]. 8247 K(x,K(y / (z \ 1),u)) = K(x,K(y * z,u)). [hyper(228,a,7741,a,b,7772,a)]. 8248 T(x,y / z) * K(z \ y,z) = K(z \ y,z) * T(x,z \ y). [para(7928(a,1),7811(a,1,1))]. 8249 K(R(x / (x / y),z,u),w) = K(R(y,z,u),T(w,y \ x)). [para(3909(a,1),7839(a,1,1,1)),flip(a)]. 8250 K(K(R(x,y,z),u) * w,T(x,v5)) = K(w,T(x,v5)). [para(7839(a,1),7389(a,1,1,1))]. 8252 L(K(T(x,y),T(z,y)),u,w) = K(L(x,u / T(x,y),w),z). [hyper(6386,a,7840,a)]. 8253 K(T(x,y),T(z,y)) = K(L(x,T(x,y) \ 1,u),z). [hyper(228,a,5760,a(flip),b,7840,a(flip)),flip(a)]. 8254 K(T(x,L(x,y,z) * u),T(w,u)) = K(L(x,u,L(x,y,z)),w). [para(1529(a,1),7840(a,1,1))]. 8256 L(K(T(x,y),T(z,y)),u,w) = K(x,L(z,u / T(z,y),w)). [hyper(6323,a,7849,a)]. 8257 K(T(x,y),T(z,L(z,u,w) * y)) = K(x,L(z,y,L(z,u,w))). [para(1529(a,1),7849(a,1,2))]. 8258 K(x \ y,T(z,x * K(y,x))) = K(y / x,z). [para(4673(a,1),7855(a,1,2,2))]. 8259 (K(x,y) * T(x,z)) \ x = K(z,x) * K(y,x). [para(7932(a,1),7862(a,1,1))]. 8260 K(K(x,y) * T(y,z),T(u,z)) = K(y * K(T(x,z),y),u). [para(7863(a,1),7829(a,1,1))]. 8261 K(x / y,T(z,x \ y)) = K(y \ x,T(z,y)). [hyper(228,a,8148,a(flip),b,7871,a(flip))]. 8262 T(x,T((y \ z) \ 1,y)) = x * K(x,(z / y) \ 1). [para(7881(a,1),4705(a,2,2))]. 8263 K(x,T((y \ z) \ 1,y)) != u | K(x,y / z) = u. [para(7881(a,2),5579(a,1))]. 8264 T(K(x,y),z) * (z / y) = z / T(y,x). [hyper(228,a,5205,a(flip),b,7889,a)]. 8265 K(x,y) * (K(z,y) / y) = K(z,y) / T(y,x). [para(5985(a,1),8264(a,1,1))]. 8266 K(x \ (y \ z),y) * z = z * K((y \ z) / x,y). [para(7894(a,1),7174(a,1,2)),flip(a)]. 8267 K(T(x * y,y) / x,z) = K(y,T(T(z,x),x * y)). [hyper(7964,a,7906,a)]. 8268 K(x,T(y \ (x * z),z)) = K(x,(y / z) \ x). [hyper(228,a,6941,a(flip),b,7935,a)]. 8270 T(x,K(y,z / y) / (z \ y)) = T(x,T(1 / (z \ y),y)). [para(5171(a,1),7945(a,1,2,1))]. 8271 K(x,K(y,T(z,u / x))) != w | K(x,K(z,T(y,u))) = w. [para(8004(a,2),7725(a,1))]. 8272 T(x,K(y,z)) * K(y,x) = x * T(K(y,x),z). [hyper(228,a,7172,a(flip),b,8009,a)]. 8273 T(x * T(y,z),K(y,z)) = T(y,z) * T(x,y). [hyper(228,a,4979,a(flip),b,8012,a)]. 8274 K(x * T(y,z),T(u,K(y,z))) = K(K(y,z) * (x * y),u). [para(8012(a,1),7202(a,1,1)),flip(a)]. 8275 T(T(x,K(y,z)),y * x) = T(x,T(x * y,z)). [hyper(5428,a,8025,a)]. 8276 K(x,y \ K(y,z)) \ K(z,K(x,y \ 1)) = K(y \ K(y,z),T(x,z)). [hyper(71,a,8027,a(flip),b,7185,a)]. 8277 T(1 / x,y * (x \ 1)) = T(1 / x,x \ y). [hyper(5826,a,8045,a)]. 8278 R(x,K(y,z),T(K(z,y) * u,K(y,w))) * u = (x * K(y,z)) * (K(y,z) \ u). [para(8050(a,2),5054(a,1,1))]. 8279 T(x,y) * T(x \ K(x,z),x) = (x \ K(x,z)) * T(x,y). [para(8052(a,1),113(a,1,2))]. 8281 T(x,1 / T(T(y,z),z)) = T(x,1 / y). [hyper(228,a,4658,a,b,8054,a)]. 8282 T(x,1 / T(y \ z,y)) = T(x,1 / (z / y)). [para(115(a,1),8281(a,1,2,2,1))]. 8283 K(x,K(y,(z \ 1) / (u / z))) = K(x,K(y,u)). [para(16(a,1),8090(a,2,2,2))]. 8284 K(x / y,z) * (1 / y) = (1 / y) * K(y \ x,z). [para(7216(a,1),8140(a,1,2)),flip(a)]. 8285 K((x \ 1) \ (y \ z),y) = K((x \ y) \ z,y). [hyper(228,a,5893,a(flip),b,8204,a(flip))]. 8286 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(8205(a,2),4842(a,2,1,2))]. 8287 K(x,T(y \ z,u \ z)) = K(x,T(y \ z,u \ y)). [para(14(a,1),8206(a,1,2,2,2))]. 8288 K(x,K(y / (z \ 1),u)) != w | K(x,K(u,y * z)) = w. [para(8247(a,2),7771(a,1))]. 8289 (K(x,y) * T(x,K(z,u))) \ x = K(z,K(u,x)) * K(y,x). [para(7693(a,1),8259(a,2,1))]. 8290 K(x / y,T(z,x \ y)) = K(x / y,z). [hyper(228,a,7837,a(flip),b,8261,a)]. 8291 x * (T(x,y) \ (K(z,x) / x)) = K(z,x) / T(x,y). [hyper(4683,a,8265,a)]. 8292 K(x,T(y \ (x * z),z)) * u = u * K(x,T((y / z) \ x,u)). [para(8268(a,2),7174(a,2,1)),flip(a)]. 8293 T(x * T(K(y,x),z),y) = T(x,K(y,z)). [para(8272(a,1),7196(a,1,1))]. 8294 T(x * K(y / z,x),z \ y) = T(x,K(z \ y,y)). [para(7818(a,1),8293(a,1,1,2))]. 8295 K(x,y) * T(z,T(z * x,y)) = T(z,x * z) * K(x,y). [para(8275(a,1),182(a,1,2))]. 8296 T(x,1 / (((y \ z) \ z) \ z)) = T(x,1 / (z / y)). [para(3933(a,1),8282(a,1,2,2))]. 8297 K(x,K(y,(z \ 1) / (u / z))) != w | K(y,K(x,u)) = w. [para(8283(a,2),7725(a,1))]. 8298 K(L(x,y,z),L(u,w,x)) = K(L(x,y,z),u). [hyper(228,a,6341,a(flip),b,7030,a)]. 8299 K(L(x,y,z),L(u,w,x)) != v5 | K(L(x,y,z),u) = v5. [para(7030(a,2),6346(a,1))]. 8300 K(L(x,y,z),(x \ u) \ w) = K(L(x,y,z),u \ (x * w)). [para(458(a,1),8298(a,1,2)),flip(a)]. 8301 K(x,R(y,K(z,x),u)) = K(x,y * K(z,x)). [hyper(228,a,6923,a(flip),b,7139,a(flip)),flip(a)]. 8302 K(x,y * K(z,x)) != u | K(x,y) = u. [para(7139(a,1),7148(a,1))]. 8303 K(x,y \ T(z,x)) != u | K(x,y \ z) = u. [para(1384(a,1),8302(a,1,2))]. 8304 K(x,y / (z / x)) != u | K(x,y / (x \ z)) = u. [para(5230(a,1),8302(a,1,2))]. 8305 K(x,K(x,y) \ z) != u | K(x,z) = u. [para(7321(a,1),8302(a,1,2))]. 8307 K(x,R(y,K(z,x),u)) = K(x,y). [hyper(228,a,7131,a(flip),b,8301,a)]. 8309 K(x,R(R(y,K(z,x),u),w,v5)) = K(x,R(y,w,v5)). [para(46(a,1),8307(a,1,2))]. 8310 x * K(T(y,z),u) != w | x * K(y,T(u,z)) = w. [para(5063(a,1),7237(a,1))]. 8311 K(T(x,y),z) * u != w | K(x,T(z,y)) * u = w. [para(5035(a,1),7238(a,1))]. 8312 K(R(x,K(y,z),u),z) = K(x * K(y,z),z). [hyper(228,a,6734,a(flip),b,7254,a(flip)),flip(a)]. 8313 K(R(x,K(y,z),u),z) = K(x,z). [hyper(228,a,7250,a(flip),b,8312,a)]. 8315 K(R(R(x,K(y,z),u),w,v5),z) = K(R(x,w,v5),z). [para(46(a,1),8313(a,1,1))]. 8316 K(L(x,K(y,z),u),y) = K(K(y,z) * x,y). [hyper(6346,a,7310,a)]. 8317 K(L(x,K(y,z),u),y) = K(x,y). [hyper(228,a,7292,a(flip),b,8316,a)]. 8319 K((x * K(y,z)) \ u,y) = K(K(y,z) \ (x \ u),y). [para(222(a,1),8317(a,1,1))]. 8320 T(x,(y * z) \ z) != u | T(x,T(y,z) \ 1) = u. [para(7522(a,1),7320(a,1))]. 8322 K(x,(y * x) \ z) != u | K(x,y \ (x \ z)) = u. [para(6533(a,2),7374(a,1))]. 8324 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,(y \ ((1 / z) \ y)) \ (x \ ((1 / z) \ y))). [para(3878(a,1),7535(a,2,2,2,2))]. 8325 x / T((y \ x) * y,z) != u | T((y \ x) * y,z) \ x = u. [para(4639(a,1),7623(a,1,2,1))]. 8326 T(K(x,y),z * (u * K(w,x))) = T(K(x,y),z * u). [para(100(a,1),7630(a,1,2))]. 8327 K((x * y) \ (z * y),y) != u | K(x \ z,y) = u. [para(7475(a,2),7648(a,1))]. 8328 K(x \ (y * z),z) != u | K((z \ x) \ y,z) = u. [para(7476(a,1),7648(a,1))]. 8329 K(x,T(y,z)) != u | T(K(x,y),z) = u. [para(7706(a,1),7712(a,1))]. 8330 K(x,y) * K(y,K(z,T(x,u))) != w | T(K(x,y),T(z,u)) = w. [para(7753(a,2),7712(a,1,2))]. 8331 T(K(x,y),z \ 1) != u | T(K(x,y),z) = u. [para(8092(a,1),7712(a,1))]. 8333 K(x,K(y,T(z,u))) != w | T(K(x,K(y,z)),u) = w. [para(7152(a,2),8329(a,1,2))]. 8338 K(x,y / z) != u | T(K(x,z \ y),z) = u. [para(7842(a,1),8329(a,1))]. 8342 K(x,K(y \ z,T(y,u))) != w | K(y,K(x,T(z,u))) = w. [para(8051(a,2),7957(a,1))]. 8343 K(x * y,y) * K(x,K(y,z)) != u | K(x * y,T(y,z)) = u. [para(7487(a,1),7981(a,1,2))]. 8344 K(x,y \ (x * z)) != u | K(x,(y / x) \ z) = u. [para(7002(a,1),8194(a,1))]. 8345 K(L(x,T(x,y) \ 1,z),u) = K(x,u). [hyper(7962,a,8253,a),flip(a)]. 8347 K(L(x,x \ K(y,x),z),u) = K(x,u). [para(4653(a,1),8345(a,1,1,2))]. 8348 K(x,T(y \ 1,z)) != u | K(x,z / (z * y)) = u. [para(13(a,1),8263(a,1,2,1,1))]. 8349 K(x,(y * x) / z) != u | K(x,y / (x \ z)) = u. [para(7043(a,2),8304(a,1))]. 8350 x * T(K(y,z),u) != w | x * K(y,T(z,u)) = w. [para(7198(a,1),8310(a,1,2))]. 8351 L(K(x,x \ y),y,z) != u | K(x,z \ (x \ (z * y))) = u. [para(6297(a,2),8322(a,1))]. 8352 K(x \ (y * z),z) != u | K((x / z) \ y,z) = u. [para(16(a,1),8327(a,1,1,1))]. 8353 K((x * y) \ z,y) != u | K(x \ (y \ z),y) = u. [para(7585(a,1),8327(a,1))]. 8354 K(x,T(1 / y,z)) != u | K(x,z / (z * y)) = u. [para(3244(a,2),8348(a,1))]. 8357 T(K(x,y) * K(z,u),x) != w | K(x,y) * K(z,T(u,x)) = w. [para(7542(a,2),8350(a,1))]. 8359 L(K(x \ y,x),y,z) != u | K(z \ (x \ (z * y)),x) = u. [para(6326(a,2),8353(a,1))]. 8360 K((x * y) \ z,x) != u | K(y \ (x \ z),x) = u. [para(6531(a,1),8353(a,1))]. 8361 L(K(x,y),z,T(x,u)) = K(x,y). [hyper(445,a,7010,a)]. 8362 K(x,(T(x,y) * z) \ u) = K(x,z \ (T(x,y) \ u)). [hyper(6781,a,8361,a)]. 8363 K(x,L(y,z,T(x,u))) = K(x,y). [hyper(228,a,6315,a(flip),b,8361,a(flip)),flip(a)]. 8365 K(x,T(L(y,z,T(x,u)),w)) = K(x,T(y,w)). [para(40(a,1),8363(a,1,2))]. 8366 K(x,T(y \ (x * z),z)) = K(x,z / (x \ y)). [hyper(8176,a,7027,a),flip(a)]. 8367 K(x,y / (x \ z)) = K(x,(z / y) \ x). [hyper(228,a,8268,a(flip),b,8366,a(flip))]. 8368 K(x,(x * y) / z) = K(x,y / (x \ z)). [hyper(228,a,7935,a(flip),b,8366,a(flip)),flip(a)]. 8369 K(x,T(y \ (x * z),z)) * u != u * w | K(x,T(z / (x \ y),u)) = w. [para(8366(a,2),7282(a,1,1))]. 8370 K(x,y / (x \ z)) * u = K(x,(z / y) \ x) * u. [hyper(22,a,8367,a)]. 8371 K(x,(y * x) / z) = K(x,(z / y) \ x). [hyper(228,a,7479,a,b,8367,a(flip)),flip(a)]. 8372 K(x,((x * y) / z) \ x) = K(x,z / y). [para(13(a,1),8367(a,1,2,2)),flip(a)]. 8373 R(K(x,(y / (z / u)) \ x),z / u,u) = K(x,z / ((x \ y) * u)). [para(8367(a,1),6937(a,1,1))]. 8374 K(x,(y * x) / z) = K(x,(x * y) / z). [hyper(228,a,7479,a,b,8368,a),flip(a)]. 8375 K(x,(x \ y) / (x \ z)) = K(x,y / z). [para(14(a,1),8368(a,1,2,1)),flip(a)]. 8376 K(x,y / (x \ z)) != u | K(x,(z / y) \ x) = u. [para(8368(a,1),6943(a,1))]. 8377 T(K(x,y \ (z * x)),y) = K(x,(y / z) \ x). [hyper(8338,a,8371,a)]. 8378 K(x,T(y \ (z * x),z)) = K(x,(y / z) \ x). [hyper(228,a,7934,a,b,8371,a(flip)),flip(a)]. 8379 K(x,(y \ (x * z)) / z) = K(x,y \ x). [para(61(a,1),8372(a,1,2,1)),flip(a)]. 8380 K(x,(y * x) / z) != u | K(x,(z / y) \ x) = u. [para(8374(a,2),6943(a,1))]. 8381 K(x,(x \ y) / (z / x)) = K(x,y / z). [hyper(7379,a,8375,a)]. 8382 K(x,(y \ R(x,z,z \ 1)) / a(x,z,z \ 1)) = K(x,y \ x). [para(671(a,1),8379(a,1,2,1,2))]. 8383 K(x,(x \ y) / z) = K(x,y / (z * x)). [para(15(a,1),8381(a,1,2,2))]. 8384 K(x,y / ((x \ z) * x)) = K(x,y / z). [hyper(228,a,8375,a(flip),b,8383,a(flip))]. 8385 K(x,y / (z * x)) = K(x,y / (x * z)). [para(13(a,1),8384(a,1,2,2,1))]. 8386 K(x,y / ((z * y) * x)) = K(x,z \ (x \ 1)). [hyper(228,a,6982,a(flip),b,8385,a)]. 8387 K(x,R(y / x,x,z)) = K(x,(y * z) / (z * x)). [para(110(a,2),8385(a,2,2)),flip(a)]. 8388 K(x,(y / z) \ (x \ 1)) = K(x,z / (y * x)). [para(16(a,1),8386(a,1,2,2,1)),flip(a)]. 8389 K(x,(y * (z / y)) / ((z / y) * x)) = K(x,((y \ z) / z) \ (x \ 1)). [para(4099(a,1),8386(a,1,2,2,1))]. 8391 K(x,T(y \ (z * x),z)) != u | K(x,(y / z) \ x) = u. [para(7934(a,2),8380(a,1))]. 8392 K(x,R(x \ y,x,z)) = K(x,(y * z) / (z * x)). [hyper(228,a,4876,a(flip),b,8387,a(flip)),flip(a)]. 8393 T((K(x,y) * K(y,z)) \ (K(x,y) * (u * K(y,z))),K(x,y)) = R(T(u,K(x,y) * K(y,z)),K(x,y),K(y,z)). [para(7078(a,1),1038(a,1,1,2))]. 8394 T(K(x,y) * (z * K(y,u)),K(y,u)) = K(y,u) * (K(x,y) * z). [para(7078(a,1),7790(a,1,1))]. 8395 T(x,T((y * x) / z,z)) = T(x,(z / x) \ y). [hyper(7641,a,7109,a)]. 8396 T(x,(y / x) \ z) = T(x,y \ (z * x)). [para(115(a,1),8395(a,1,2)),flip(a)]. 8397 T(x,y \ (z * x)) = T(x,y \ (x * z)). [hyper(228,a,7519,a(flip),b,8396,a(flip))]. 8398 T(x,(x \ y) \ z) = T(x,y \ (z * x)). [hyper(228,a,7299,a(flip),b,8396,a(flip)),flip(a)]. 8399 L(T(x,y \ (z * x)),u,w) \ L(x,u,w) = K((y / x) \ z,L(x,u,w)). [para(8396(a,1),4656(a,1,1,1))]. 8400 T(x,y \ ((x \ z) * x)) = T(x,y \ z). [para(14(a,1),8397(a,2,2,2))]. 8401 L(x,y,z) \ L(T(x,u \ (x * w)),y,z) = K(L(x,y,z),u \ (w * x)). [para(8397(a,1),4706(a,1,2,1))]. 8402 K(x,y) * K(x,K(y,z \ (u * y))) = K(x,T(y,(y \ z) \ u)). [para(8398(a,2),7706(a,2,2))]. 8403 K(x,T(y,(y \ z) \ u)) = K(x,T(y,z \ u)). [para(8398(a,2),8206(a,1,2))]. 8404 T(x,y \ ((x \ z) * x)) = x * K(x,y \ z). [hyper(228,a,4705,a(flip),b,8400,a)]. 8405 K(x \ ((y \ z) * y),L(y,u,w)) = L(T(y,x \ z),u,w) \ L(y,u,w). [para(8400(a,1),4656(a,1,1,1)),flip(a)]. 8406 K(x,y) * K(x,K(y,z \ u)) = K(x,T(y,(y \ z) \ u)). [hyper(228,a,7706,a,b,8403,a),flip(a)]. 8407 K(x,T(y,(y * z) \ u)) = K(x,T(y,z \ u)). [para(13(a,1),8403(a,1,2,2,1)),flip(a)]. 8409 K(x,y \ ((x \ z) * x)) = K(x,y \ z). [hyper(4771,a,8404,a)]. 8411 T(x,y \ ((x \ z) * x)) != u | T(x,y \ z) = u. [para(8404(a,2),4708(a,1))]. 8412 K(x,y \ (z * x)) = K(x,y \ (x * z)). [para(13(a,1),8409(a,1,2,2,1))]. 8413 K(x,(y / x) \ z) = K(x,y \ (z * x)). [hyper(228,a,7521,a,b,8412,a),flip(a)]. 8414 K(x,(x \ y) \ z) = K(x,y \ (z * x)). [hyper(228,a,7002,a,b,8412,a),flip(a)]. 8415 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K(x,(z * (y / x)) \ u). [para(8413(a,1),6300(a,1,1))]. 8416 K(x,(x * y) \ (z * x)) = K(x,y \ z). [para(13(a,1),8414(a,1,2,1)),flip(a)]. 8417 K(x,y \ (((x \ y) * z) * x)) = K(x,z). [para(13(a,1),8414(a,1,2)),flip(a)]. 8418 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K(x,(z * (x \ y)) \ u). [para(8414(a,1),6300(a,1,1))]. 8419 L(K(x,y \ ((z \ u) * x)),z \ u,z) != w | K(x,(z * (x \ y)) \ u) = w. [para(8414(a,1),6781(a,1,1))]. 8420 K(x * y,T(x,y \ z)) = K(x * y,T(x,z)). [hyper(7638,a,8407,a),flip(a)]. 8421 K(x * y,T(x,y \ z)) = K(y * x,T(x,z)). [hyper(228,a,6428,a,b,8420,a)]. 8422 K(x * y,T(y,x \ z)) = K(x * y,T(y,z)). [hyper(228,a,6428,a,b,8421,a(flip)),flip(a)]. 8423 K(x * y,T(y,x * z)) = K(x * y,T(y,z)). [para(13(a,1),8422(a,1,2,2)),flip(a)]. 8424 T(x,(x \ y) \ (x \ z)) != u | T(x,y \ z) = u. [para(8398(a,2),8411(a,1))]. 8425 T(x,y \ (x \ z)) != u | T(x,(x * y) \ z) = u. [para(13(a,1),8424(a,1,2,1))]. 8428 R(T(K(x,y),z),y * u,w) = K(x,R(T(y,z),u,w)). [para(42(a,2),7157(a,2,2))]. 8429 K(x,K(y,z)) * (K(x,y) * u) = K(x,T(y,z)) * u. [para(7692(a,1),7192(a,1,1))]. 8430 K(x,K(y,z)) * (K(z,x) * u) = K(z,T(x,y)) * u. [para(7723(a,1),7192(a,1,1))]. 8431 T(x / T(y,T(z,x)),y) = T(y,z) \ x. [hyper(228,a,7279,a(flip),b,7241,a(flip))]. 8432 T(x / T(y,z),y) = T(y,T(z,x)) \ x. [para(7927(a,1),8431(a,1,1,2))]. 8433 K((x \ y) \ z,T(z,u)) = K(y \ (x * z),T(z,u)). [hyper(6569,a,7245,a),flip(a)]. 8434 x * K(y,(1 / x) * (z * x)) = K(y,L(z,x,x \ 1)) * x. [para(2994(a,1),7283(a,1,2,2))]. 8435 K(x,(y * z) \ 1) * y = y * K(x,y \ (1 / z)). [para(3240(a,1),7285(a,1,1))]. 8436 x * (K(x / y,z) * K(x * K(y \ x,z),x)) = T(x * K(x / y,z),x). [para(7352(a,1),5522(a,1,2,2))]. 8437 K(x \ L(T(x,y),z,u),x) = 1. [hyper(228,a,4598,a(flip),b,7399,a)]. 8438 K(x,R(T(x,y),z,u) \ w) = K(x,R(x,z,u) \ w). [para(42(a,2),7401(a,1,2,1))]. 8439 (((x \ y) * x) * z) \ (y * z) = K(x,z \ (x \ (y * z))). [para(15(a,1),7409(a,1,1,1,1,2))]. 8440 (x * ((y \ (x \ z)) * y)) \ z = K(y,x \ (y \ z)). [para(4504(a,1),7409(a,1,1))]. 8441 (x * y) * K(z,x \ (z \ (x * y))) = x * (z * (y / z)). [hyper(228,a,4499,a(flip),b,7411,a(flip))]. 8442 x * K(y,z \ (y \ x)) = z * (y * ((z \ x) / y)). [hyper(228,a,4498,a(flip),b,7411,a(flip))]. 8443 L(K(x,y),z,T(y,u)) = K(x,y). [hyper(445,a,7465,a)]. 8444 K((T(x,y) * z) \ u,x) = K(z \ (T(x,y) \ u),x). [hyper(228,a,6329,a(flip),b,8443,a(flip)),flip(a)]. 8445 x \ (y * K(z,T(x,u))) = (x \ y) * T(K(z,x),u). [para(7152(a,2),7472(a,1,2,2))]. 8446 (x * K(y \ (z \ x),z)) * u = (y * ((z \ (y \ x)) * z)) * u. [hyper(22,a,7477,a)]. 8447 (x * y) * K(x \ (z \ (x * y)),z) = x * ((z \ y) * z). [para(13(a,1),7477(a,2,2,1,2))]. 8448 (x * ((y \ (x \ z)) * y)) \ z != u | K(y,x \ (y \ z)) = u. [para(7477(a,1),5085(a,1,1))]. 8449 K(x,R(T(y,x \ z),u,w)) = K(x,R(T(y,z),u,w)). [para(42(a,2),7495(a,2,2))]. 8450 T(x,y) * (L(T(x,y),z,x) \ u) = x * (L(x,z,x) \ u). [para(7538(a,1),5007(a,1,2))]. 8451 T(x,(y * z) \ z) = T(x,z \ (y \ z)). [hyper(4807,a,7600,a),flip(a)]. 8452 T(x,T(y,z) \ 1) = T(x,z \ (y \ z)). [hyper(8320,a,8451,a)]. 8453 x * K(x,y \ (z \ y)) = T(x,(z * y) \ y). [hyper(228,a,4705,a(flip),b,8451,a),flip(a)]. 8454 T(x,T(y \ 1,z)) = T(x,z \ (y \ z)). [hyper(228,a,7522,a,b,8451,a(flip)),flip(a)]. 8455 K(x,T(y,z \ (u \ z))) != w | K(x,T(y,T(u,z))) = w. [para(8452(a,1),8183(a,1,2))]. 8457 K(x,(y * z) \ z) = K(x,z \ (y \ z)). [hyper(17,a,4705,a(flip),b,8453,a),flip(a)]. 8458 K(x,y / (y * z)) = K(x,(z * y) \ y). [hyper(228,a,8215,a,b,8457,a),flip(a)]. 8459 K(x,((y \ z) * y) \ y) = K(x,y / z). [para(14(a,1),8458(a,1,2,2)),flip(a)]. 8460 K(x,y \ T(z,z \ y)) = K(x,z / y). [para(5962(a,1),8459(a,1,2))]. 8461 K(x,(y / z) / y) = K(x,y \ (z \ y)). [para(583(a,1),8460(a,1,2,2)),flip(a)]. 8462 K(x,(y / z) / y) = K(x,y / (y * z)). [hyper(228,a,8215,a,b,8461,a)]. 8465 L(x,y,z * (K(u,z) / T(z,w))) = L(x,y,K(u,z) * K(w,z)). [para(7615(a,1),6808(a,1,3,2))]. 8466 K(x,T(y,(z * x) * u)) = K(x,T(y,(x * z) * u)). [para(93(a,1),7619(a,1,2,2,1))]. 8467 T(((T(x,y) \ y) * ((x \ y) \ y)) / (T(x,y) \ y),x * (y / T(x,y))) = L((x \ y) \ y,T(x,y) \ y,(x \ y) \ y). [para(7626(a,1),683(a,1,2))]. 8468 (x * K(y,z)) * T(K(z,y),u) = x * K(z,K(y,u)). [para(5062(a,1),7714(a,1,1)),flip(a)]. 8469 L(K(x,K(y,z)),u,w) = K(L(K(x,y),u,w),z). [para(6239(a,1),7716(a,1,1)),flip(a)]. 8470 x * K(L(K(y,z),u,w),x) = T(x,L(K(y,z),u,w)). [para(8469(a,1),7751(a,1,2))]. 8471 R(x,T(K(y,z),u),u) = R(x,K(y,z),u). [hyper(228,a,8050,a(flip),b,7803,a)]. 8473 K(x,K(y,T(z,u))) * K(x * T(y,u),x) = K(x * T(y,u),T(x,z)). [para(7753(a,2),7809(a,1,1))]. 8474 L(T(K(x,y),z * (u * K(y,x))),u,z) = (z * u) / (z * (u * K(y,x))). [hyper(72,a,6439,a(flip),b,7825,a),flip(a)]. 8475 T(R(K(x,y),z,u),w) * w = w * R(K(x,y),z,u). [para(42(a,1),7826(a,1,1))]. 8476 R(K(x,T(y,z)),u,w) * (z * K(y,v5)) = (z * K(y,v5)) * R(K(x,y),u,w). [para(7057(a,1),7835(a,1,1,1,2))]. 8477 K(T(x,y),T(z,x \ u)) = K(T(x,y),T(z,u)). [hyper(228,a,7916,a(flip),b,7857,a(flip))]. 8478 K(T(x,y),T(z,x * u)) = K(T(x,y),T(z,u)). [para(13(a,1),8477(a,1,2,2)),flip(a)]. 8479 K(x * K(y,z),(x / u) \ 1) = K(K(y,z) * x,x \ u). [hyper(18,a,7516,a,b,7893,a),flip(a)]. 8480 K(x / ((y \ 1) * z),L(z,y \ 1,y) / (L(z,y \ 1,y) / y)) = K((y \ L(z,y \ 1,y)) \ x,y). [para(396(a,1),7902(a,1,1,2))]. 8481 K(x,y) * T(y,T(z,x)) = T((x * y) / x,z). [hyper(5734,a,7907,a)]. 8482 K(x,y) * T((y * x) / y,z) = T(x,T(z,y)). [hyper(5071,a,8481,a)]. 8483 K(x,y) \ T(y * K(x,y),z) = T(y,T(z,x)). [hyper(71,a,5399,a(flip),b,8481,a)]. 8484 K(x,y) * T(x * K(y,x),z) = T(x,T(z,y)). [para(4673(a,1),8482(a,1,2,1))]. 8485 T(x,T(y,z)) != u | K(x,z) * T(x * K(z,x),y) = u. [para(8483(a,1),5072(a,1))]. 8486 K(T(x,y * K(z,y)),u) = u / T(u,x * K(T(x,z),y)). [para(7925(a,1),4645(a,2,2))]. 8487 T(x,R((y * z) / y,u,w)) = T(x,R(T(z,y),u,w)). [para(42(a,2),7941(a,2,2))]. 8488 T(K(x,y),T(z,K(y,u))) = T(K(x,y),z). [hyper(228,a,7704,a(flip),b,7979,a)]. 8489 T(K(x,y),z / K(u,y)) = T(K(x,y),K(u,y) \ z). [para(5979(a,1),8488(a,1,2))]. 8490 T(K(x,y),K(z,y) \ u) = T(K(x,y),u). [hyper(228,a,7705,a(flip),b,7980,a)]. 8491 T(K(x,y),K(z,y) \ u) != w | T(K(x,y),u) = w. [para(7980(a,2),7712(a,1))]. 8493 T(K(x,y),T(z,y)) != u | T(K(x,y),z) = u. [para(7942(a,1),8491(a,1))]. 8494 T(K(x,y \ z),T(y,z)) != u | T(K(x,y \ z),y) = u. [para(7092(a,1),8493(a,1))]. 8495 K(x,y) * K(y,K(z,T(x,x * u))) = T(K(x,y),T(z,u * x)). [para(4066(a,1),8000(a,1,2,2,2))]. 8496 K(x,T(y,T((x * z) \ u,z))) = K(x,y) * K(y,K(u / (x * z),x)). [para(7872(a,1),8006(a,1,2,2)),flip(a)]. 8498 K(x / y,z \ (y \ x)) = K(y \ x,(z * y) \ x). [hyper(228,a,7249,a(flip),b,8035,a(flip)),flip(a)]. 8499 K(x,T(T(T(x,y) * z,u),w)) = K(x,T(T(x * z,u),w)). [para(4681(a,1),8040(a,1,2,1,1)),flip(a)]. 8500 T(K(x,y),z / (1 / y)) = K(x,1 / (z / (z / (1 / y)))). [hyper(228,a,5815,a(flip),b,8055,a(flip)),flip(a)]. 8501 K(x,(1 / y) * ((z \ ((1 / y) \ 1)) * z)) = K(x,K(y \ z,z)). [para(5621(a,1),8094(a,2,2))]. 8502 L(K(x,K(y,z)),u,w) = K(x,K(z,L(y,u,w))). [para(8079(a,1),8102(a,1,1))]. 8503 L(K(x,K(y,z)),u,w) = K(x,K(y,L(z,u,w))). [para(8086(a,1),8102(a,1,1))]. 8504 L(K(x,K(y,z)),u,w) = K(y,K(z,L(x,u,w))). [para(8095(a,1),8102(a,1,1))]. 8505 K(x,L(K(y,z),u,w)) = K(x,K(y,L(z,u,w))). [hyper(228,a,7774,a(flip),b,8502,a(flip)),flip(a)]. 8506 K(x,L(K(y,z),u,w)) = K(x,K(z,L(y,u,w))). [hyper(228,a,6242,a(flip),b,8502,a(flip)),flip(a)]. 8507 K(x,K(y,L(z,u,w))) = K(x,K(z,L(y,u,w))). [hyper(228,a,8502,a(flip),b,8503,a(flip))]. 8508 (x * y) * K(z,K(u,L(w,y,x))) = x * (y * K(z,K(u,w))). [para(8503(a,1),100(a,1,2))]. 8509 (x * y) * K(z,K(u,L(w,y,x))) != v5 | x * (y * K(z,K(u,w))) = v5. [para(8503(a,1),218(a,1,2))]. 8510 K(x,K(y,L(z,u,w))) = K(z,K(x,L(y,u,w))). [hyper(228,a,8503,a(flip),b,8504,a(flip))]. 8511 K(L(K(x,y),z,u),w) = K(y,K(w,L(x,z,u))). [hyper(228,a,8469,a(flip),b,8504,a(flip)),flip(a)]. 8512 (x * y) * K(z,K(u,L(w,y,x))) = x * (y * K(w,K(z,u))). [para(8504(a,1),100(a,1,2))]. 8513 K(x,K(y,L(z,z,u))) = K(x,K(z,y)). [para(5507(a,1),8506(a,1,2)),flip(a)]. 8514 K(x,1 / L(K(y,z),u,w)) = K(x,K(y,L(z,u,w))). [para(6240(a,2),8506(a,1,2))]. 8515 K(x,K(y,L(z,u * y,w))) = K(x,K(z,L(y,u,w))). [para(6315(a,1),8506(a,1,2)),flip(a)]. 8516 K(x,K(x / y,L(z,u,w))) = K(x,K(z,L(y,u,w))). [hyper(8074,a,8507,a)]. 8517 x * K(y,K(z,L(x,u,w))) = T(x,K(y,L(z,u,w))). [para(8507(a,1),7729(a,1,2))]. 8518 K(x,K(y \ (z \ u),L(w,y,z))) = K(w,K(x,(z * y) \ u)). [para(222(a,1),8510(a,2,2,2))]. 8520 K(x,K(y,L(z,u,w))) != v5 | K(x,K(z,L(y,u,w))) = v5. [para(8510(a,2),7725(a,1))]. 8521 K(L(K(x,y),z,u),w) = K(w,K(y,L(x,z,u))). [hyper(228,a,7723,a,b,8511,a)]. 8522 K(L(K(x,y),z,u),w) != v5 | K(y,K(w,L(x,z,u))) = v5. [para(8521(a,2),7725(a,1))]. 8523 T(x,K(y,z)) * K(y,z \ x) = x * K(y,x / z). [hyper(228,a,7822,a(flip),b,8109,a)]. 8524 T(1 / (x * K(y,z)),K(z,y)) = (1 / x) * K(z,y). [hyper(228,a,5048,a(flip),b,8134,a)]. 8525 T(x,y) * K(y * L(x,z,u),x) = R(x,y,L(x,z,u)). [para(8152(a,1),6767(a,1,2))]. 8526 K(T(L(x,y,z) * u,u),x) = K(L(x,y,z) * u,x). [hyper(7329,a,8153,a)]. 8527 T(x,y) * K(y * R(x,z,u),x) = R(x,y,R(x,z,u)). [para(8154(a,1),4863(a,1,2))]. 8528 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(8154(a,2),7734(a,2,1))]. 8529 T(x,y) * (x \ T(x * z,x)) = T(T(x,y) * z,x). [para(13(a,1),8218(a,1,1,2)),flip(a)]. 8530 K(x,y * z) \ ((x * y) * z) = R(x,y,z) * T(y * z,x). [para(109(a,1),8228(a,1,2))]. 8531 (T(x,T(x \ y,z)) * z) \ (z * ((x \ y) \ y)) = K(z,x). [para(8232(a,1),5200(a,1,1,1))]. 8532 T(x,T(y * K(x,z),u)) = T(x,T(y,u)). [hyper(228,a,8230,a(flip),b,8235,a)]. 8533 T(x,T(y / (z / x),u)) = T(x,T(y / (x \ z),u)). [para(6015(a,1),8532(a,1,2,1)),flip(a)]. 8534 x * (y * K(z,K(u,x * y))) = T(x * y,K(z,u)). [para(8245(a,1),14(a,1,2))]. 8535 x * (y * K(z,K(u,x * y))) != w | T(x * y,K(z,u)) = w. [para(8245(a,1),213(a,1,2)),flip(b)]. 8536 T(x,T((y \ z) \ 1,y)) = T(x,(z / y) \ 1). [hyper(228,a,4705,a,b,8262,a)]. 8537 T(x,((y * z) / y) \ 1) = T(x,T(z \ 1,y)). [para(13(a,1),8536(a,1,2,1,1)),flip(a)]. 8538 T(x,T(y \ 1,z)) = T(x,y \ K(y,z)). [para(4798(a,1),8537(a,1,2)),flip(a)]. 8539 T(x,y \ K(y,z)) = T(x,z \ (y \ z)). [hyper(228,a,8454,a(flip),b,8538,a(flip))]. 8540 T(x,y / (y * z)) = T(x,y \ (z \ y)). [hyper(228,a,5112,a(flip),b,8539,a(flip)),flip(a)]. 8541 K((x \ y) / z,x) = K(y / (x * z),x). [hyper(17,a,8031,a(flip),b,8266,a(flip))]. 8542 K(L(x,y,x),z) = K(T(u * x,x) / u,z). [hyper(228,a,7841,a,b,8267,a),flip(a)]. 8543 K(T(x * y,y) / x,z) = K(y,z). [hyper(7373,a,8542,a),flip(a)]. 8545 K(T(x,y \ x) / y,z) = K(y \ x,z). [para(14(a,1),8543(a,1,1,1,1))]. 8547 K(x,T(x \ y,z \ y)) = K(x,T(x \ y,z)). [hyper(228,a,8142,a(flip),b,8287,a)]. 8549 T(x,y) \ ((x \ 1) \ K(z,x)) = x * (K(z,x) / T(x,y)). [para(8291(a,1),3204(a,1,2)),flip(a)]. 8550 T(x * K(y / z,x),z \ y) = T(x,K(y,z)). [hyper(228,a,8126,a(flip),b,8294,a)]. 8551 T(T(x,K(y,z)),y / z) = T(x,z \ y). [para(8550(a,1),4742(a,1,1))]. 8552 T(T(x,y / z),K(z,y)) = T(x,z \ y). [hyper(7793,a,8551,a)]. 8553 T(T(x,K(y,z)),z \ y) = T(x,y / z). [para(7789(a,1),8551(a,1,1)),flip(a)]. 8554 T(T(x,K(y,z \ u)),(((z \ 1) \ 1) \ u) \ y) = T(x,y / (((z \ 1) \ 1) \ u)). [para(5382(a,1),8553(a,1,1,2))]. 8555 K((x * K(y,z)) \ u,y) = K(x \ u,y). [hyper(228,a,7307,a(flip),b,8319,a)]. 8557 K((x * K(y,z)) \ u,z) = K(x \ u,z). [para(5062(a,1),8555(a,1,1,1)),flip(a)]. 8558 K((x * (y / z)) \ u,z) = K((x * (z \ y)) \ u,z). [para(6040(a,1),8555(a,1,1,1))]. 8559 K((x * (y * z)) \ u,z) = K((x * (z * y)) \ u,z). [para(6344(a,1),8555(a,1,1,1)),flip(a)]. 8560 K((K(x,y) * z) \ u,y) = K(z \ u,y). [para(7187(a,1),8555(a,1,1,1)),flip(a)]. 8561 K((x * K(y,z)) \ u,T(y,w)) = K(x \ u,T(y,w)). [para(7829(a,1),8555(a,1,1,1,2))]. 8562 K(x,(y * K(z,x)) \ u) = (w * K(y \ u,x)) \ w. [para(8557(a,1),5037(a,1,1,2)),flip(a)]. 8563 K(x \ (K(y,z) * u),y) = K(x \ u,y). [hyper(228,a,7436,a(flip),b,8560,a(flip)),flip(a)]. 8565 K(x \ (K(y,z) \ u),y) = K(x \ u,y). [para(14(a,1),8563(a,1,1,2)),flip(a)]. 8566 K(x \ (K(y,z) * u),z) = K(x \ u,z). [para(5042(a,1),8563(a,1,1,2)),flip(a)]. 8567 K(x \ (y / z),z \ y) = K(x \ (z \ y),z \ y). [para(4811(a,1),8563(a,1,1,2)),flip(a)]. 8568 K(x \ (T(y,z) \ u),y) = K(x \ (y \ u),y). [para(4977(a,1),8563(a,1,1,2)),flip(a)]. 8570 K(x \ (K(y,z) * u),T(y,w)) = K(x \ u,T(y,w)). [para(7829(a,1),8563(a,1,1,2,1))]. 8571 K(x \ (y * K(z,u)),z) = K(x \ y,z). [para(7823(a,1),8563(a,1,1,2))]. 8572 K(x \ (y * T(z,u)),u) = K(x \ (y * z),u). [para(8229(a,1),8565(a,1,1,2))]. 8573 K(x \ (y / (z * y)),z \ 1) = K(x \ ((z * y) \ y),z \ 1). [para(5419(a,1),8566(a,1,1,2))]. 8574 K(x \ (y * (z * u)),u) = K(x \ (y * (u * z)),u). [para(6344(a,1),8571(a,1,1,2)),flip(a)]. 8575 K(x \ (y * K(z,u)),T(z,w)) = K(x \ y,T(z,w)). [para(7829(a,1),8571(a,1,1,2,2))]. 8576 K(x \ T(y,z),T(y,u)) = K(x \ y,T(y,u)). [para(7861(a,1),8571(a,1,1,2))]. 8577 K((x * (y * z)) \ ((x * z) * y),z) = K(a(x,z,T(y,z)),z). [para(175(a,1),8572(a,1,1)),flip(a)]. 8578 K(T(x,y),z \ T(x,u)) = (w * K(z \ x,T(x,y))) \ w. [para(8576(a,1),5037(a,1,1,2)),flip(a)]. 8579 T(x,y / (x \ z)) = T(x,(z / y) \ x). [hyper(5459,a,8370,a)]. 8580 T(x,(y * x) / z) = T(x,(z / y) \ x). [hyper(228,a,7461,a,b,8579,a(flip)),flip(a)]. 8581 R(K(x,T(y,z)),y * u,w) = K(x,R(T(y,z),u,w)). [para(7152(a,2),8428(a,1,1))]. 8582 K(x,K(y,z)) * (K(x,x \ y) * u) = K(x,T(x \ y,z)) * u. [para(7810(a,1),8429(a,1,1))]. 8583 K(x,y \ (z \ 1)) * z = z * K(x,z \ (1 / y)). [para(118(a,1),8435(a,1,1,2))]. 8584 K(x,(y * (z * x)) \ u) = K(x,(y * z) \ (x \ u)). [hyper(228,a,6813,a(flip),b,8440,a(flip)),flip(a)]. 8585 x * (y * ((x \ z) / y)) != z * u | K(y,x \ (y \ z)) = u. [para(8442(a,1),19(a,1))]. 8586 K((T(x,y) * z) \ u,x) = K(z \ (x \ u),x). [hyper(228,a,8568,a(flip),b,8444,a)]. 8588 K((T(x,y) * z) \ u,K(x,w)) = K(w,K(z \ (x \ u),x)). [para(8586(a,1),7728(a,2,2))]. 8589 (x \ R(x,y,z)) * T(K(u,x),w) = R(x,y,z) * (x \ K(u,T(x,w))). [hyper(1232,a,8445,a),flip(a)]. 8590 K(x,R(T(y,x * z),u,w)) = K(x,R(T(y,z),u,w)). [para(13(a,1),8449(a,1,2,1,2)),flip(a)]. 8591 (x \ R(x,y,x)) * T(K(y,x),z) = K(y * x,x) * K(y,K(x,z)). [para(5776(a,1),8468(a,1,1))]. 8592 T(L(K(x,y),z,u) \ w,L(K(x,y),z,u)) = w / L(K(x,y),z,u). [hyper(5123,a,8470,a),flip(a)]. 8593 T(R(K(x,y),z,u) \ w,R(K(x,y),z,u)) = w / R(K(x,y),z,u). [hyper(171,a,8475,a(flip),b,3757,a(flip))]. 8595 T(x,R(T(y,y \ z),u,w)) = T(x,R(z / (z / y),u,w)). [para(3906(a,1),8487(a,1,2,1)),flip(a)]. 8596 T(K(x,y),z / K(u,y)) = T(K(x,y),z). [hyper(228,a,8490,a(flip),b,8489,a)]. 8598 T(K(x,y),z * K(y,u)) = T(K(x,y),z). [para(5063(a,1),8596(a,1,2))]. 8599 R(x,T(K(y,z),u),u * K(z,w)) = R(x,K(y,z),u * K(z,w)). [para(8598(a,1),8471(a,1,2))]. 8600 K(x,1 / L(K(y,z),u,w)) = K(x,L(K(y,z),u,w)). [hyper(228,a,8505,a,b,8514,a)]. 8601 K(x,K((y * z) \ (u \ w),L(z,y,u))) = K(x,K(z,(u * (y * z)) \ w)). [para(222(a,1),8515(a,1,2,2)),flip(a)]. 8602 K(x,K(y \ (z \ u),L(w,y,z))) = K(x,K(x / w,(z * y) \ u)). [para(222(a,1),8516(a,1,2,2)),flip(a)]. 8603 K(x,K(y,z)) * K(x,y \ z) = K(x,z / y). [hyper(17,a,7749,a,b,8523,a(flip)),flip(a)]. 8604 (K(x,y / z) * K(K(x,z \ y),u)) / T(K(x,z \ y),u) = R(K(x,K(z,y)),K(x,z \ y),K(K(x,z \ y),u)). [para(8603(a,1),4772(a,1,1,1))]. 8605 T(K(x,y) / z,K(x,y)) = (1 / z) * K(x,y). [para(4898(a,1),8524(a,1,1))]. 8606 T(T(x,y) * R(x \ z,u,w),x) = T(x,y) * R(x \ T(z,x),u,w). [para(1684(a,1),8529(a,1,2)),flip(a)]. 8607 T(x,T((y * x) / z,u)) = T(x,T(y / (x \ z),u)). [hyper(228,a,7108,a,b,8533,a(flip)),flip(a)]. 8608 R(x,y,z * K(u,K(w,y * z))) * T(y * z,K(u,w)) = (x * y) * (z * K(u,K(w,y * z))). [para(8534(a,1),109(a,1,2))]. 8609 (x \ 1) / (x \ K(x,(y * (x \ z)) \ u)) = K((y * (z / x)) \ u,x). [hyper(228,a,5038,a,b,8558,a),flip(a)]. 8610 K(((x \ 1) * (y * x)) \ z,x) = K(L(y,x,x \ 1) \ z,x). [hyper(228,a,6152,a(flip),b,8559,a)]. 8611 K(x,(y * K(z,x)) \ u) = K(x,y \ u). [hyper(228,a,5037,a(flip),b,8562,a)]. 8612 T(x,(y * K(z,x)) \ u) = x * K(x,y \ u). [para(8611(a,1),4705(a,2,2))]. 8614 K(x,(y * K(x,z)) \ u) = K(x,y \ u). [para(5062(a,1),8611(a,1,2,1)),flip(a)]. 8615 K(x,(y * (z / x)) \ u) = K(x,(y * (x \ z)) \ u). [para(6039(a,1),8611(a,1,2,1)),flip(a)]. 8616 K(x,(y * L(K(z,x),u,w)) \ v5) = K(x,y \ v5). [para(6128(a,1),8611(a,1,2,1,2))]. 8617 K(x,(K(y,x) * z) \ u) = K(x,z \ u). [para(7205(a,1),8611(a,1,2,1))]. 8618 K(x,(K(x,y) * z) \ u) = K(x,z \ u). [para(7206(a,1),8611(a,1,2,1)),flip(a)]. 8619 K(T(x,y),(z * K(u,x)) \ w) = K(T(x,y),z \ w). [para(7218(a,1),8611(a,1,2,1,2))]. 8620 K(x,((y * K(z,x)) * u) \ w) = K(x,(y * u) \ w). [para(6715(a,1),8614(a,1,2,1)),flip(a)]. 8622 K(x,y \ (K(x,z) * u)) = K(x,y \ u). [hyper(228,a,7439,a(flip),b,8617,a(flip)),flip(a)]. 8623 K(x,(y * z) \ ((K(x,u) * y) * z)) = K(x,a(K(x,u),y,z)). [para(24(a,2),8618(a,1,2)),flip(a)]. 8625 K(x,y \ (T(x,z) \ u)) = K(x,y \ (x \ u)). [para(4977(a,1),8622(a,1,2,2)),flip(a)]. 8626 K(x,y \ ((z * x) * (z \ 1))) = K(x,y \ R(x,z,z \ 1)). [para(6093(a,1),8622(a,1,2,2)),flip(a)]. 8627 K(x,y \ (z * K(x,u))) = K(x,y \ z). [para(7823(a,1),8622(a,1,2,2))]. 8628 K(x,y \ (z * K(u,x))) = K(x,y \ z). [para(7892(a,1),8622(a,1,2,2)),flip(a)]. 8629 K(x,y \ (z * (u / x))) = K(x,y \ (z * (x \ u))). [para(6040(a,1),8627(a,1,2,2))]. 8630 K(x,y \ (z * (u * x))) = K(x,y \ (z * (x * u))). [para(6344(a,1),8627(a,1,2,2)),flip(a)]. 8631 K(x,y \ (z * L(K(u,x),w,v5))) = K(x,y \ z). [para(6128(a,1),8628(a,1,2,2,2))]. 8632 T(x,(y * K(z,x)) \ u) = T(x,y \ u). [hyper(228,a,4705,a,b,8612,a)]. 8633 T(x,(y * K(x,z)) \ u) = T(x,y \ u). [para(5062(a,1),8632(a,1,2,1)),flip(a)]. 8634 T(x,(K(y,x) * z) \ u) = T(x,z \ u). [para(7205(a,1),8632(a,1,2,1))]. 8635 T(x,(y * (z * x)) \ u) = T(x,(y * (x * z)) \ u). [para(6344(a,1),8633(a,1,2,1)),flip(a)]. 8636 T(x,y \ (K(z,x) * u)) = T(x,y \ u). [hyper(228,a,7651,a(flip),b,8634,a(flip))]. 8638 T(x,y \ ((z / x) \ u)) = T(x,y \ ((x \ z) \ u)). [para(5446(a,1),8636(a,1,2,2))]. 8639 K(x,(T(x,y) * z) \ u) = K(x,z \ (x \ u)). [hyper(228,a,8362,a,b,8625,a(flip)),flip(a)]. 8641 K(x,(y * (z * K(u,x))) \ w) = K(x,(y * z) \ w). [para(100(a,1),8616(a,1,2,1))]. 8642 K(x,y \ (z * (u * K(w,x)))) = K(x,y \ (z * u)). [para(100(a,1),8631(a,1,2,2))]. 8643 R((x \ y) * K(z \ (x \ y),x \ y),u,w) \ R(x \ y,u,w) = K(R(x \ y,u,w),z \ (y / x)). [para(8567(a,1),5834(a,1,1,1,2))]. 8644 K(x \ (y * z),T(z,u)) = K(x \ (z * y),T(z,u)). [para(4671(a,1),8570(a,1,1,2)),flip(a)]. 8645 K((x * (y * z)) \ (x * ((z * u) * y)),y) = K(L(L(u,z,y),y * z,x),y). [para(447(a,1),8574(a,2,1))]. 8646 K(x,R(T(y,z),y \ u,w)) = R(K(x,T(y,z)),u,w). [para(14(a,1),8581(a,1,2)),flip(a)]. 8647 K(x,T(y \ (z \ 1),z)) = K(x,z \ (1 / y)). [hyper(7282,a,8583,a)]. 8648 K(x,(y * (z / x)) \ (x \ u)) = K(x,(y * z) \ u). [para(16(a,1),8584(a,1,2,1,2)),flip(a)]. 8649 (x * K(y,(z * u) \ (y \ w))) \ x = K((z * (u * y)) \ w,y). [para(8584(a,1),5037(a,1,1,2))]. 8650 K(x,(x * y) \ ((x * z) * y)) = K(x,R(T(z,y),x,y)). [hyper(4945,a,8590,a)]. 8651 L(K(x,(y * (x \ z)) \ (u \ w)),u \ w,u) = K(x,(u * (y * (z / x))) \ w). [para(8615(a,1),6300(a,1,1))]. 8652 K(x,(((x \ y) * x) * z) \ u) = K(x,(y * z) \ u). [para(239(a,1),8620(a,1,2,1,1))]. 8653 K(x,(y * (z * (u / x))) \ (z * (x \ u))) = K(x,(z * (u / x)) \ (y \ (z * (u / x)))). [hyper(228,a,8457,a(flip),b,8629,a(flip))]. 8654 L(T(x,y \ ((x \ z) \ u)),w,v5) \ L(x,w,v5) = K(y \ ((z / x) \ u),L(x,w,v5)). [para(8638(a,1),4656(a,1,1,1))]. 8655 K(x,(y * (K(x,z) * u)) \ w) = K(x,(y * u) \ w). [para(7206(a,1),8641(a,1,2,1,2)),flip(a)]. 8656 K(x,y \ (z * (K(x,u) * w))) = K(x,y \ (z * w)). [para(7206(a,1),8642(a,1,2,2,2)),flip(a)]. 8657 K(x \ (y * (z * K(y,u))),T(y,w)) = K(x \ (z * T(y,u)),T(y,w)). [para(5177(a,1),8644(a,1,1,2)),flip(a)]. 8658 K(x,R(T(y,z),y \ 1,u)) = K(x,T(y,z)). [hyper(228,a,340,a(flip),b,8646,a)]. 8659 K(x,R(T(y,z),y \ 1,u)) = T(K(x,y),z). [hyper(228,a,7152,a(flip),b,8658,a)]. 8660 K(x,(y * (x \ z)) \ (x \ u)) = K(x,(y * z) \ u). [hyper(228,a,8615,a(flip),b,8648,a(flip)),flip(a)]. 8661 K(x,L(L(y,z,K(x,u)),K(x,u) * z,w)) = K(x,(w * (K(x,u) * z)) \ (w * (z * y))). [para(447(a,1),8656(a,1,2))]. 8662 K(x,(y * (x \ 1)) \ (x \ z)) = K(x,y \ z). [para(12(a,1),8660(a,2,2,1))]. 8663 K(x,(y * (x * z)) \ u) = K(x,(y * z) \ (x \ u)). [para(13(a,1),8660(a,1,2,1,2)),flip(a)]. 8664 K(x,(y / (x \ 1)) \ z) = K(x,y \ (x \ z)). [para(16(a,1),8662(a,1,2,1)),flip(a)]. 8665 K(x,(y \ 1) \ (x \ z)) = K(x,(y \ x) \ z). [para(119(a,1),8662(a,1,2,1))]. 8666 L(K(x,y \ (x \ (z \ u))),z \ u,z) = K(x,(z * (y / (x \ 1))) \ u). [para(8664(a,1),6300(a,1,1))]. 8667 K(x,(y \ x) \ (x * z)) = K(x,(y \ 1) \ z). [para(13(a,1),8665(a,1,2,2)),flip(a)]. 8668 K(x,(y \ x) \ (z * x)) = K(x,(y \ 1) \ z). [hyper(228,a,8412,a,b,8667,a(flip)),flip(a)]. 8669 L(K(x,T(y,z)),z,L(y,u,w)) = K(x,T(y,L(y,u,w) * (y \ z))). [para(1365(a,1),7268(a,1,2)),flip(a)]. 8670 K(x,y \ (x \ (y * (z * x)))) = K(x,L(z,x,y)). [hyper(228,a,4873,a(flip),b,7536,a)]. 8672 K(x,y) * K(x * y,x) = T(x \ R(x,y,x),y). [para(7155(a,1),7548(a,1,2))]. 8673 T(x \ R(x,y,x),y) = x \ R(x,y,x). [hyper(228,a,5325,a(flip),b,8672,a(flip))]. 8674 (x * (y \ R(y,x,y))) / x = y \ R(y,x,y). [para(8673(a,1),166(a,1,1,2))]. 8675 (T(x * y,x) / x) / y = x \ R(x,y,x). [para(6182(a,1),8674(a,1,1))]. 8677 K(x,T(y,K(L(x,z,u),w) * v5)) = K(x,T(y,v5)). [hyper(228,a,7858,a(flip),b,7923,a)]. 8678 K(x,T(y,z / L(x,u,w))) = K(x,T(y,L(x,u,w) \ z)). [para(4738(a,1),8677(a,1,2,2))]. 8679 K(x,T(y,L(x,z,u) * (u * z))) = K(x,T(y,u * (z * x))). [para(4818(a,1),8677(a,1,2,2))]. 8681 K(x,K(L(y,z,u),w)) != v5 | K(x,K(y,L(w,z,u))) = v5. [para(7741(a,1),8520(a,1))]. 8683 L(K(x,K(y,z)),u,w) != v5 | K(x,K(z,L(y,u,w))) = v5. [para(8503(a,2),8520(a,1))]. 8684 K(x,L(K(y,z),u,w)) != v5 | K(x,K(z,L(y,u,w))) = v5. [para(8505(a,2),8520(a,1))]. 8685 K(x,L(K(y,z),u,w)) != v5 | K(x,K(y,L(z,u,w))) = v5. [para(8506(a,2),8520(a,1))]. 8686 L(K(x,K(y,z)),u,w) != v5 | K(y,K(z,L(x,u,w))) = v5. [para(8469(a,2),8522(a,1))]. 8687 K(x,y) * K(y * L(x,z,u),x) = x \ R(x,y,L(x,z,u)). [hyper(71,a,8525,a(flip),b,4675,a),flip(a)]. 8688 (x * T(y,z)) \ (x * R(y,z,L(y,u,w))) = L(K(z * L(y,u,w),y),T(y,z),x). [para(8525(a,1),28(a,2,2,2)),flip(a)]. 8689 x \ R(x,y,L(x,z,u)) != w | K(x,y) * K(y * L(x,z,u),x) = w. [para(8525(a,1),4985(a,1,2))]. 8690 T(x,y) * (K(y * R(x,z,u),x) * w) = R(x,y,R(x,z,u)) * w. [para(8527(a,1),5708(a,1,1)),flip(a)]. 8691 K(x,y \ (x \ ((x * z) * y))) = K(x,R(T(z,y),x,y)). [hyper(7374,a,8650,a)]. 8692 L(K(x,y),z,L(x,u,w)) = K(x,y). [hyper(445,a,7011,a)]. 8693 (L(x,y,z) * (u * K(x,w))) \ (L(x,y,z) * u) != v5 | K(w,x) = v5. [para(7011(a,1),5085(a,1,1))]. 8694 K(L(x,y,L(x,z,u)),w) = K(x,w). [hyper(6346,a,8692,a)]. 8695 x * K(L(x,y,L(x,z,u)),w) = T(x,w). [para(8694(a,2),4705(a,2,2)),flip(a)]. 8696 R(x,y,z) * (u * K(x,w)) != (R(x,y,z) * u) * v5 | K(x,w) = v5. [para(7012(a,1),19(a,1))]. 8697 K(x,x \ (x * y)) = K(x,K(z \ x,z) * y). [hyper(228,a,6757,a(flip),b,7031,a(flip)),flip(a)]. 8699 K(x,K(y \ x,y) * z) = K(x,z). [para(13(a,1),8697(a,1,2)),flip(a)]. 8700 K(x,y * K(z \ x,z)) = K(x,y). [hyper(228,a,7351,a(flip),b,8699,a(flip)),flip(a)]. 8701 K(x * y,K(y,x) * z) = K(x * y,z). [para(13(a,1),8699(a,1,2,1,1))]. 8702 K(x,(x / y) * z) = K(x,(y \ x) * z). [para(5524(a,1),8699(a,1,2)),flip(a)]. 8704 K(x,y \ ((z \ x) \ x)) = K(x,y \ z). [para(6274(a,1),8700(a,1,2)),flip(a)]. 8705 T((K(x,y) * z) * K(y * x,z),y * x) = K(x,y) * z. [para(8701(a,1),4674(a,1,1,2))]. 8706 K(x,L(y,((z \ x) \ x) \ 1,(z \ x) \ x) \ z) = K(x,((((z \ x) \ x) \ 1) * y) \ 1). [hyper(5779,a,8704,a),flip(a)]. 8707 K(x \ (x * y),x) = K(K(z \ x,z) * y,x). [hyper(228,a,6664,a(flip),b,7123,a(flip)),flip(a)]. 8708 K(K(x \ y,x) * z,y) = K(z,y). [hyper(5784,a,8707,a),flip(a)]. 8711 (K(x \ y,x) * z) * K(z,y) = T(K(x \ y,x) * z,y). [para(8708(a,1),4705(a,2,2)),flip(a)]. 8712 K(x,R(T(x,y),z,u) * (w \ 1)) = K(x,w \ R(T(x,y),z,u)). [hyper(6170,a,7322,a)]. 8713 K(x,y / R(T(x,z),u,w)) = K(x,R(x,u,w) \ y). [hyper(228,a,8438,a(flip),b,7337,a)]. 8715 R(K(x,y),z,R(x,u,w)) = K(x,y). [hyper(476,a,7422,a)]. 8716 K(x,y) * ((y * x) * R(x,z,u)) = (x * y) * R(x,z,u). [para(4671(a,1),7422(a,1,1)),flip(a)]. 8717 (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(7422(a,1),4983(a,1,1,2))]. 8718 K(x,(y * R(x,z,u)) / w) = K(x,y / (w / R(x,z,u))). [hyper(228,a,6938,a(flip),b,8715,a(flip)),flip(a)]. 8719 K(R(x,y,R(x,z,u)),w) = K(x,w). [hyper(228,a,6734,a(flip),b,8715,a(flip)),flip(a)]. 8720 K(x,y) * R(x,z,R(x,u,w)) = T(R(x,z,R(x,u,w)),y). [para(8719(a,1),4712(a,2,1)),flip(a)]. 8721 x * K(y,R(z,u,R(z,w,v5))) = (K(z,y) / x) \ 1. [para(8719(a,1),4896(a,1,1,1)),flip(a)]. 8722 K(x,y) * (x \ R(x,z,R(x,u,w))) = x \ R(T(x,y),z,R(x,u,w)). [para(8719(a,1),6665(a,1,1))]. 8723 K(x,R(y,z,R(y,u,w))) = K(x,y). [hyper(17,a,4896,a(flip),b,8721,a)]. 8724 K(T(x,y),T(z,y)) = K(x,R(z,u,R(T(z,y),w,v5))). [hyper(7975,a,8723,a),flip(a)]. 8725 K(x,R(y,z,R(T(y,u),w,v5))) = K(x,y). [hyper(7962,a,8724,a),flip(a)]. 8727 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(8725(a,1),6666(a,1,1))]. 8728 R(K(x,y),z,L(x,u,w)) = K(x,y). [hyper(476,a,7423,a)]. 8729 K(R(x,y,L(x,z,u)),w) = K(x,w). [hyper(228,a,6734,a(flip),b,8728,a(flip)),flip(a)]. 8730 K(T(x,y),T(z,y)) = K(R(x,u,L(T(x,y),w,v5)),z). [hyper(7969,a,8729,a),flip(a)]. 8731 K(R(x,y,L(T(x,z),u,w)),v5) = K(x,v5). [hyper(7962,a,8730,a),flip(a)]. 8733 T(x,R(y,z,L(T(y,u),w,v5))) = (K(y,x) / x) \ 1. [para(8731(a,1),4667(a,2,1,1))]. 8734 T(x,R(y,z,L(T(y,u),w,v5))) = T(x,y). [hyper(228,a,4667,a,b,8733,a)]. 8735 K(x * (R(y,z,y) \ u),y) = K(x * (u / T(y,z)),y). [hyper(228,a,7508,a(flip),b,7448,a(flip))]. 8736 K(x * (R(x,y,x) \ z),x) = K(z,x). [hyper(228,a,7366,a(flip),b,8735,a)]. 8737 K(R(x,y,x) * z,x) = K(x * z,x). [para(13(a,1),8736(a,1,1,2)),flip(a)]. 8738 K(x * R(y,z,y),y) = K(y * x,y). [hyper(228,a,7403,a(flip),b,8737,a(flip)),flip(a)]. 8739 T(x,y * R(x,z,x)) = 1 / (x \ K(x * y,x)). [para(8738(a,1),4806(a,2,2,2))]. 8740 T(x,y * R(x,z,x)) = T(x,x * y). [hyper(228,a,4806,a,b,8739,a)]. 8741 T(x,y * R(x,z,x)) = x * K(x,x * y). [hyper(228,a,4705,a(flip),b,8740,a)]. 8742 K(x,y * R(x,z,x)) = K(x,x * y). [hyper(4771,a,8741,a)]. 8743 K(x,R(x,y,x) * z) = K(x,x * z). [hyper(228,a,7400,a,b,8742,a(flip)),flip(a)]. 8744 K(R(x,y,x),R(x,z,x) * u) = K(x,x * u). [hyper(7376,a,8743,a)]. 8745 L(K(x,y),z,L(y,u,w)) = K(x,y). [hyper(445,a,7466,a)]. 8746 K(L(x,y,L(z,u,w)),z) = K(x,z). [hyper(6346,a,8745,a)]. 8747 K(x,L(y,z,L(y,u,w))) = K(x,y). [hyper(228,a,6315,a(flip),b,8745,a(flip)),flip(a)]. 8748 K(T(x \ (L(y,z,u) * w),L(y,z,u) \ x),y) = K((((L(y,z,u) \ x) \ w) \ w) \ w,y). [para(3987(a,1),8746(a,1,1))]. 8749 K(R(x,y,z),T(u,x \ w)) = K(R(x,y,z),T(u,w)). [hyper(228,a,6734,a(flip),b,7497,a(flip))]. 8750 K(R(x,y,z),T(u,w)) * K(T(u,x \ w),R(x,y,z)) = 1. [hyper(70,a,8749,a,b,5075,a),flip(a)]. 8751 K(R(x,y,z),T(u,x * w)) = K(R(x,y,z),T(u,w)). [para(13(a,1),8749(a,1,2,2)),flip(a)]. 8752 K(x,y \ ((x \ y) * z)) != u | L(K(x,x \ z),z,x \ y) = u. [para(7407(a,1),7537(a,1))]. 8753 T(x,y) / T(R(x,z,u),w) = R(T(x,w),z,u) \ T(x,y). [para(42(a,2),7613(a,2,1))]. 8754 T(x / y,z) * T(y,K(z,x / y)) = x * K(x / y,z). [para(7785(a,1),7661(a,1,2))]. 8755 T(T(x,1 / y),K(1 / y,z)) = T(x,1 / T(y,z)). [hyper(228,a,4705,a,b,7671,a)]. 8756 T(T(x,1 / y),K(z,1 / y)) = T(x,1 / T(y,z)). [hyper(7801,a,8755,a)]. 8757 T(x,1 / T(y,z)) != u | T(x,T(1 / y,z)) = u. [para(8755(a,1),7672(a,1))]. 8758 T(T(x,1 / (y / z)),K(u,z / y)) = T(x,1 / T(y / z,u)). [para(5412(a,1),8756(a,1,2))]. 8759 R(K(x,K(y,z)),u,w) = K(R(K(x,y),u,w),z). [para(6122(a,1),7708(a,1,1)),flip(a)]. 8760 R(K(x,K(y,z \ 1)),u,w) = K(x,K(y,R(z,u,w) \ 1)). [para(7693(a,1),7709(a,1,1))]. 8761 K(R(K(x,y),z,u),w) = K(y,R(K(x,w),z,u)). [para(6122(a,1),7743(a,1,2)),flip(a)]. 8762 R(K(x,K(y,z)),u,w) = K(y,R(K(x,z),u,w)). [hyper(228,a,8759,a,b,8761,a(flip)),flip(a)]. 8763 R(K(x,K(y,z)),u,w) = K(x,R(K(y,z),u,w)). [para(7723(a,1),8762(a,1,1))]. 8764 x * R(K(x,K(y,z)),u,w) = T(x,R(K(y,z),u,w)). [para(8763(a,2),4705(a,2,2)),flip(a)]. 8765 T(x * K(y,z),K(u,y)) = T(x,K(u,y)) * K(y,z). [hyper(7733,a,7784,a),flip(a)]. 8766 T(K(x,y) * z,K(u,y)) = K(x,y) * T(z,K(u,y)). [hyper(6589,a,8765,a),flip(a)]. 8767 T(K(x,y) * z,K(u,y)) = K(x,y) * T(z,K(y,u)). [para(7785(a,1),8766(a,2,2))]. 8768 T(K(x,y) * z,K(y,u)) = K(x,y) * T(z,K(y,u)). [hyper(7801,a,8767,a)]. 8769 T(x * K(y,z),K(y,u)) = T(x,K(y,u)) * K(y,z). [hyper(6586,a,8768,a),flip(a)]. 8770 K(x,y) * T(K(x,y) \ z,K(x,u)) = T(z,K(x,u)). [hyper(6585,a,8768,a)]. 8771 T(x * K(y,z * x),K(y,z)) = K(y,z * x) * x. [hyper(228,a,8024,a(flip),b,8769,a)]. 8772 T(x * K(y,x),K(y,z)) = x * K(y,T(x,z)). [hyper(228,a,8009,a(flip),b,8769,a)]. 8773 T(x,K(y,z)) \ T(x * K(y,u),K(y,z)) = K(y,u). [hyper(71,a,8769,a,b,xx)]. 8774 T(x * K(y,x),K(y,z)) != x * u | K(y,T(x,z)) = u. [para(8772(a,2),19(a,1))]. 8775 T(K(x,y) * z,K(x,u)) = K(x,y) * T(z,K(x,u)). [para(13(a,1),8770(a,1,2,1)),flip(a)]. 8776 T(x * K(y,z),K(z,u)) = T(x,K(z,u)) * K(y,z). [para(8770(a,1),6587(a,1,1)),flip(a)]. 8777 (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(8771(a,1),3954(a,1,1)),flip(a)]. 8779 T(x * K(y,z),K(z,u)) \ T(x,K(z,u)) = K(z,y). [para(5062(a,1),8773(a,1,2,1))]. 8780 K(x,K(y,z)) * T(y,K(x,u)) = T(T(y,K(x,z)),K(x,u)). [para(7730(a,1),8775(a,1,1)),flip(a)]. 8782 T(x * K(L(y \ 1,z,u) \ 1,w),K(w,v5)) = T(x,K(w,v5)) * L(K(y,w),z,u). [para(6132(a,1),8776(a,2,2))]. 8783 R(K(x,y),T(y,z) * u,w) = K(x,R(y,u,w)). [hyper(228,a,7850,a(flip),b,7864,a)]. 8784 R(K(x,y),T(y,z) * u,w) != v5 | K(x,R(y,u,w)) = v5. [para(7864(a,2),7975(a,1))]. 8786 K(x,R(y,T(y,z) \ u,w)) = R(K(x,y),u,w). [para(14(a,1),8783(a,1,2)),flip(a)]. 8787 R(K(x,y),K(z,y) * u,w) = R(K(x,y),u,w). [hyper(6953,a,8786,a)]. 8790 R(K(x,y),K(y,z) * u,w) = R(K(x,y),u,w). [para(5042(a,1),8787(a,1,2)),flip(a)]. 8792 R(K(x,y),y * z,u) != w | K(x,R(y,z,u)) = w. [para(112(a,1),8784(a,1,2,1))]. 8793 (x / y) * K(y \ x,T(y,z)) = (y \ x) * K(z,K(y,x)). [hyper(8350,a,7867,a)]. 8794 K(x \ y,T(z,y)) = K((K(z,u) * y) / x,z). [hyper(228,a,8570,a(flip),b,7895,a(flip)),flip(a)]. 8795 K((K(x,y) * z) / u,x) = K(z / u,x). [hyper(7963,a,8794,a),flip(a)]. 8797 K(x,(K(x,y) * z) / u) = (w * K(z / u,x)) \ w. [para(8795(a,1),5037(a,1,1,2)),flip(a)]. 8798 K(x,(K(x,y) * z) / u) = K(x,z / u). [hyper(228,a,5037,a(flip),b,8797,a)]. 8799 K(x,(y * T(x,z)) / u) = K(x,(y * x) / u). [para(8225(a,1),8798(a,1,2,1))]. 8800 K(x,(y * T(x,z)) / u) != w | K(x,y / (x \ u)) = w. [para(8799(a,2),8349(a,1))]. 8801 K(x \ y,T(z,x)) = K(y / (x * K(z,u)),z). [hyper(228,a,8561,a(flip),b,7904,a(flip)),flip(a)]. 8802 K(x / (y * K(z,u)),z) = K(x / y,z). [hyper(7964,a,8801,a),flip(a)]. 8804 K(x / ((y * K(z,u)) * w),u) = K(x / (y * w),u). [para(6715(a,1),8802(a,1,1,2)),flip(a)]. 8805 K(x / ((K(y,z) * u) * w),z) = K(x / (u * w),z). [para(7205(a,1),8804(a,1,1,2,1))]. 8806 K(x / ((K(y,z) * u) * w),y) = K(x / (u * w),y). [para(7206(a,1),8804(a,1,1,2,1)),flip(a)]. 8807 K(R(R(x,K(y,z),u),K(y,z) * u,w),z) = K((((x * K(y,z)) * u) * w) / (u * w),z). [para(479(a,1),8805(a,1,1))]. 8808 K(x / ((T(y,z) \ u) * w),y) = K(x / ((y \ u) * w),y). [para(5004(a,1),8805(a,1,1,2,1))]. 8809 K(T(x,y),y \ z) = K(x,z / (y * K(u,x))). [hyper(228,a,8619,a(flip),b,7919,a(flip)),flip(a)]. 8810 K(x,y / (z * K(u,x))) = K(x,y / z). [hyper(7976,a,8809,a),flip(a)]. 8812 K(x,y / (z * T(u,x))) = K(x,y / (z * u)). [para(1385(a,1),8810(a,1,2,2))]. 8813 K(x,y / (z * K(x,u))) = K(x,y / z). [para(5062(a,1),8810(a,1,2,2)),flip(a)]. 8814 K(x,y / ((z * K(u,x)) * w)) = K(x,y / (z * w)). [para(6715(a,1),8813(a,1,2,2)),flip(a)]. 8815 K(x,y / ((z * x) * u)) = K(x,y / ((x * z) * u)). [para(93(a,1),8814(a,1,2,2,1))]. 8816 K(x,y / (((x \ z) * x) * u)) = K(x,y / (z * u)). [para(239(a,1),8814(a,1,2,2,1))]. 8817 K(x,y / ((K(z,x) * u) * w)) = K(x,y / (u * w)). [para(7205(a,1),8814(a,1,2,2,1))]. 8818 K(x,y / ((K(x,z) * u) * w)) = K(x,y / (u * w)). [para(7206(a,1),8814(a,1,2,2,1)),flip(a)]. 8819 K(x,R(R(y,K(z,x),u),K(z,x) * u,w)) = K(x,(((y * K(z,x)) * u) * w) / (u * w)). [para(479(a,1),8817(a,1,2))]. 8820 ((x * (y * K(z,y))) / x) / ((x * y) / x) = K(T(z,x),y). [para(4673(a,1),7920(a,1,1,1,2))]. 8821 K(x,T(y,z \ (u * x))) = K(x,T(y,z \ (x * u))). [hyper(8159,a,7924,a),flip(a)]. 8822 T(K(x,y),T(z,x \ u)) = T(K(x,y),T(z,u)). [hyper(7699,a,7978,a),flip(a)]. 8823 T(K(x,y),T(z,x * u)) = T(K(x,y),T(z,u)). [para(13(a,1),8822(a,1,2,2)),flip(a)]. 8824 (K(x,y) * T(z,u)) / T(K(x,y),z) = (z * (K(x,y) * K(z,u))) * K(y,x). [hyper(228,a,8230,a,b,8037,a),flip(a)]. 8825 T(x,R(y / (y / z),u,w)) = x * K(T(x,z \ y),R(z,u,w)). [para(3906(a,1),8041(a,1,2,1))]. 8826 T(x,T(y,(z * (u \ 1)) \ 1)) = T(x,T(y,z / u)). [hyper(7672,a,8129,a),flip(a)]. 8827 T(x,T(y,z * (u \ 1))) = T(x,T(y,z / u)). [hyper(8130,a,8826,a)]. 8828 T(x,T(y,z * (u \ 1))) = x * K(x,T(y,z / u)). [hyper(228,a,4705,a(flip),b,8827,a)]. 8829 K(x,T(y,z * (u \ 1))) = K(x,T(y,z / u)). [hyper(4771,a,8828,a)]. 8830 K(x,K(y,T(z,x * u))) = K(x,K(y,T(z,u))). [hyper(17,a,7291,a,b,8209,a),flip(a)]. 8831 K(x,K(y,T(z,x \ u))) = K(x,K(y,T(z,u))). [para(14(a,1),8830(a,1,2,2,2)),flip(a)]. 8832 T(x,T(x * (y \ 1),z)) = T(x,T(y \ x,z)). [hyper(8233,a,8234,a),flip(a)]. 8833 K(R(x / (x / y),z,u),w) = K(R(y,z,u),T(w,x)). [hyper(228,a,8749,a(flip),b,8249,a)]. 8834 K(R(x,y / x,z),T(u,y)) = K((y * z) / ((y / x) * z),u). [para(110(a,1),8833(a,1,1)),flip(a)]. 8835 K(L(x,y / T(x,z),u),w) = L(K(x,w),y,u). [para(7829(a,1),8252(a,1,1)),flip(a)]. 8836 L(K(x,y),z * T(x,u),w) = K(L(x,z,w),y). [para(15(a,1),8835(a,1,1,2)),flip(a)]. 8837 L(K(x,y),x * z,u) = K(L(x,z,u),y). [para(137(a,1),8835(a,1,1,2)),flip(a)]. 8838 K(L(x,x \ y,z),u) = L(K(x,u),y,z). [para(199(a,1),8835(a,1,1,2))]. 8840 K(L(x,y,z),x * y) = K(x,x * y). [hyper(6613,a,8837,a),flip(a)]. 8841 K(L(x,y,z),y) = K(x,L(y,x,z)). [hyper(228,a,6315,a(flip),b,8837,a(flip))]. 8842 K(L(x,y,z),(z \ u) \ (x * y)) = K(x,u \ (z * (x * y))). [hyper(228,a,6299,a(flip),b,8837,a(flip))]. 8843 L(K(x,y),T(x,z) * u,w) = K(L(T(x,z),u,w),T(y,z)). [para(7829(a,1),8837(a,1,1))]. 8844 L(K(x,y),K(z,x),u) = K(x,y). [hyper(228,a,8347,a(flip),b,8838,a(flip))]. 8847 (x * K(y,z)) * K(z,u) = x * (K(y,z) * K(z,u)). [para(8844(a,1),100(a,1,2))]. 8849 (x * K(y,z)) * R(K(z,u),w,v5) = x * (K(y,z) * R(K(z,u),w,v5)). [para(8844(a,1),451(a,1,2,1))]. 8850 L(K(x,y),L(K(z,x),u,w),v5) = K(x,y). [para(6128(a,1),8844(a,1,2))]. 8851 (x * L(K(y,z),u,w)) * K(z,v5) = x * (L(K(y,z),u,w) * K(z,v5)). [para(8850(a,1),100(a,1,2))]. 8852 K(L(x,y * K(x,z),u),w) = K(L(x,y,u),w). [hyper(6347,a,8836,a)]. 8853 K(x,L(y,z * K(y,u),w)) = T(v5 * K(L(y,z,w),x),K(x,v6)) \ T(v5,K(x,v6)). [para(8852(a,1),8779(a,1,1,1,2)),flip(a)]. 8854 (x * K(y,z)) * K(u,y) = x * (K(u,y) * K(y,z)). [hyper(6723,a,8847,a)]. 8855 (x * (K(y,z) * K(z,u))) * K(u,z) = x * K(y,z). [hyper(5064,a,8847,a)]. 8856 R(x,K(y,z),K(z,u)) = x. [hyper(476,a,8847,a)]. 8857 x * (K(y,z) * K(z,z * y)) = (x / R(z,y,z)) * z. [hyper(228,a,6652,a(flip),b,8847,a(flip))]. 8858 (x * K(y,z)) * K(z,u) = x * (K(z,u) * K(y,z)). [para(1757(a,2),8847(a,2,2))]. 8859 R(x,T(K(y,z),u),K(z,w)) = x. [para(2034(a,1),8856(a,1,2))]. 8860 (x * R(R(x,K(y,z),K(z,u)) \ (x * K(y,z)),w,v5)) * K(z,u) = R(x,K(y,z),K(z,u)) * (R(K(y,z),w,v5) * K(z,u)). [para(8856(a,1),2287(a,1,1,1))]. 8861 R(x,L(K(y,z),u,w),K(z,v5)) = x. [para(6128(a,1),8856(a,1,2))]. 8862 (x * y) \ (y * T(x,z)) = K(y,x) * K(x,z). [para(8856(a,1),5252(a,1,1))]. 8863 R(x,T(K(y,z),u),T(K(z,w),v5)) = x. [para(5810(a,1),8859(a,1,3))]. 8864 (x * y) \ ((x * (y * K(z,u))) * K(u,w)) = L(K(z,u),y,x) * K(u,w). [para(8861(a,1),512(a,1,1))]. 8865 T(K(x,y),z) * T(K(y,u),K(x,y) * z) = z \ (K(y,u) * (K(x,y) * z)). [para(8863(a,1),867(a,1,1)),flip(a)]. 8866 (x * y) \ (y * T(x,z)) = K(x,z) * K(y,x). [hyper(228,a,1757,a,b,8862,a)]. 8867 K(x,y) * K(y,y \ x) = a(y,x / y,y). [hyper(228,a,3973,a(flip),b,8862,a(flip))]. 8868 (x * y) \ (y * T(x,z)) != u | K(x,z) * K(y,x) = u. [para(8862(a,2),1764(a,1))]. 8870 x \ R(x,x \ y,x) = a(x,y / x,x). [hyper(228,a,5775,a,b,8867,a(flip)),flip(a)]. 8871 a(x,y / x,x) \ K(y,x) = K(x \ y,x). [para(8867(a,1),5037(a,1,1))]. 8872 a(x,y / x,x) * K(x,y) = K(x,x \ y). [para(8867(a,1),5082(a,1,1))]. 8873 a(x,(x * y) / x,x) = x \ R(x,y,x). [para(13(a,1),8870(a,1,2,2)),flip(a)]. 8874 x \ R(x,T(y,x),x) = a(x,y,x). [para(166(a,1),8873(a,1,2)),flip(a)]. 8875 x \ R(x,y,x) = a(x,y,x). [para(4153(a,1),8874(a,1,2))]. 8876 K(x * y,x) * K(x,y) = a(x,y,x). [hyper(5742,a,8875,a)]. 8877 K(x,y) * K(x * y,x) = a(x,y,x). [hyper(5719,a,8875,a)]. 8878 T(x,y) \ R(T(x,y),z,x) = a(x,z,x). [hyper(228,a,7541,a,b,8875,a(flip)),flip(a)]. 8879 R(x,y,x) / x = a(x,y,x). [hyper(228,a,3517,a,b,8875,a(flip)),flip(a)]. 8880 x * a(x,y,x) = R(x,y,x). [para(8875(a,1),14(a,1,2))]. 8882 a(x,y,x) * x = R(x,y,x). [para(8875(a,1),3518(a,1,1))]. 8883 T(x * y,x) / x = y * a(x,y,x). [para(8875(a,1),6182(a,1,2)),flip(a)]. 8884 a(x,x \ (y \ x),x) = x \ R(x,y \ 1,x). [para(6295(a,1),8875(a,1,2)),flip(a)]. 8885 T(x,T(y,z)) \ R(x,u,x) = K(y,T(x,z)) * a(x,u,x). [para(8875(a,1),7232(a,1,2)),flip(a)]. 8886 T(x,y) * a(x,z,x) = R(T(x,y),z,x). [para(8875(a,1),7540(a,1,2))]. 8887 x \ R(T(x,y),z,x) = K(x,y) * a(x,z,x). [para(8875(a,1),7041(a,1,2)),flip(a)]. 8888 x \ R(x,y,x) != z | a(x,y,x) = z. [para(8880(a,1),284(a,1,2)),flip(b)]. 8889 R(x,y,x) \ (x * (z * a(x,y,x))) = L(T(z,a(x,y,x)),a(x,y,x),x). [para(8880(a,1),179(a,1,1))]. 8890 K(x,x * y) * a(x,y,x) = K(x,y). [hyper(5071,a,8876,a)]. 8891 a(x,y,x) * K(y,x) = K(x * y,x). [hyper(5064,a,8876,a)]. 8893 (x * y) \ T(y * x,y) = a(y,x,y). [hyper(6279,a,8877,a)]. 8894 K(x,y) * a(y,x,y) = K(y * x,y). [hyper(5071,a,8877,a)]. 8895 a(x,y,x) \ K(x,y) != z | K(x,x * y) = z. [para(8877(a,1),5085(a,1,1))]. 8896 a(x,y,x) * (y * x) = T(x * y,x). [para(8877(a,1),6287(a,1,1))]. 8897 R(T(x * y,x) / x,z,u) = R(y,z,u) * a(x,R(y,z,u),x). [hyper(228,a,1685,a,b,8883,a(flip)),flip(a)]. 8898 (x \ y) * a(x,x \ y,x) = T(y,x) / x. [para(14(a,1),8883(a,1,1,1)),flip(a)]. 8899 T(x * a(y,x,y),y) = y \ T(y * x,y). [para(8883(a,1),115(a,1,1))]. 8900 (x * y) \ (y * (T(z * T(x,y),z) / z)) = L(a(z,T(x,y),z),T(x,y),y). [para(8883(a,2),178(a,1,2,2))]. 8901 (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(8883(a,2),446(a,1,2,2))]. 8902 (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) != w | L(L(a(u,z,u),z,y),y * z,x) = w. [para(8883(a,2),769(a,1,2,2,2))]. 8904 K(x * y,x) * K(x,y) != z | a(x,y,x) = z. [para(5740(a,2),8888(a,1))]. 8905 K(x,y) * a(x,x \ y,x) = K(x,x \ y). [para(14(a,1),8890(a,1,1,2))]. 8906 L(a(x,y,x),K(x,x * y),z) = (z * K(x,x * y)) \ (z * K(x,y)). [para(8890(a,1),28(a,2,2,2))]. 8907 a(x,y,x) * K(y,x) = K(y * x,x). [hyper(228,a,5647,a,b,8891,a)]. 8908 a(1 / ((x * y) \ x),T(z,y),1 / ((x * y) \ x)) * K(T(z,y),1 / ((x * y) \ x)) = K(z * (1 / ((x * y) \ x)),1 / ((x * y) \ x)). [para(5691(a,1),8891(a,2,1))]. 8909 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(7593(a,1),8891(a,1,2))]. 8910 (x * y) * a(y,x,y) = T(y * x,y). [para(8893(a,1),14(a,1,2))]. 8911 K(x,y) * a(y,x,y) = K(x * y,y). [hyper(228,a,5647,a,b,8894,a)]. 8912 R(T(x,T(x * y,x)),y * x,a(x,y,x)) = ((y * x) * a(x,y,x)) \ ((x * y) * x). [para(8910(a,1),881(a,1,1,2))]. 8913 a(x,y,x) * T(x,z) = R(T(x,z),y,x). [para(8878(a,1),3518(a,1,1))]. 8914 a(x,x \ y,x) = T(x,y) \ ((x \ y) \ y). [para(4004(a,1),8878(a,1,2)),flip(a)]. 8915 R(T(x / y,K(y,x)),z,x / y) = a(x / y,z,x / y) * (x / y). [para(7511(a,1),8913(a,1,2)),flip(a)]. 8916 a(x,x \ (y \ x),x) = a(x,y \ 1,x). [hyper(228,a,8875,a(flip),b,8884,a)]. 8917 T(x,y \ x) \ ((x \ (y \ x)) \ (y \ x)) = a(x,y \ 1,x). [hyper(228,a,8914,a(flip),b,8916,a(flip)),flip(a)]. 8918 R(T(x,y),z,x) \ (x * ((K(x,y) * a(x,z,x)) * u)) = L(u,x \ R(T(x,y),z,x),x). [para(8887(a,1),101(a,1,2,2,1))]. 8919 L((K(x,y) * a(x,z,x)) \ u,x \ R(T(x,y),z,x),T(x,R(T(x,y),z,x))) = ((x * R(T(x,y),z,x)) / x) \ (T(x,R(T(x,y),z,x)) * u). [para(8887(a,1),3773(a,1,1,1))]. 8920 (x * K(y,z)) * K(u,y) = x * (K(y,z) * K(u,y)). [para(1757(a,2),8854(a,2,2))]. 8921 (x * (K(y,z) * K(z,u))) \ (x * T(z,u)) = T(z,y). [para(8854(a,1),5226(a,1,1))]. 8923 (x * (K(y,z) * K(u,y))) * K(z,y) = x * K(u,y). [para(1757(a,2),8855(a,1,1,2))]. 8924 T(L(x,K(y,z),K(z,u)) * K(y,z),K(z,u)) = K(y,z) * T(x,K(z,u) * K(y,z)). [hyper(171,a,8858,a,b,584,a)]. 8926 (x / y) * (K(y,z) * K(u,y)) = (x / T(y,u)) * K(y,z). [para(5205(a,1),8858(a,1,1)),flip(a)]. 8927 (x * K(y,z)) \ (x * K(y,u)) = K(y,u) * K(z,y). [hyper(6719,a,8920,a)]. 8928 R(x,K(y,z),K(u,y)) = x. [hyper(476,a,8920,a)]. 8929 L(K(x,y),K(y,z),u) = K(x,y). [hyper(445,a,8920,a)]. 8930 ((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(3065(a,1),8920(a,1,1))]. 8931 (x * K(y,z)) * (K(z,y) * K(u,z)) = x * K(u,z). [para(5062(a,1),8920(a,1,1)),flip(a)]. 8932 K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = (u * K(z,x)) \ ((K(x,y) * K(z,x)) * (u / K(x,y))). [para(8928(a,1),1272(a,1,2,2)),flip(a)]. 8934 (x * K(y,z)) * K(u,y) != w | x * (K(y,z) * K(u,y)) = w. [para(8929(a,1),218(a,1,2))]. 8935 (x * K(y,z)) * L(K(u,y),w,v5) = x * (K(y,z) * L(K(u,y),w,v5)). [para(8929(a,1),452(a,1,2,1))]. 8936 L(K(x,T(y,z)),K(y,u),w) = K(x,T(y,z)). [para(7829(a,1),8929(a,1,2))]. 8937 (x * K(y,z)) * K(u,T(y,w)) = x * (K(y,z) * K(u,T(y,w))). [para(8936(a,1),100(a,1,2))]. 8939 (x * (K(y,L(z,y,u)) * K(z,w))) \ (x * T(z,w)) = T(z,L(y,z,u)). [para(8841(a,1),8921(a,1,1,2,1))]. 8940 (x * (K(y,z) * K(u,y))) * (K(z,y) * K(y,u)) = x. [hyper(18,a,8855,a,b,8923,a(flip)),flip(a)]. 8941 ((x * K(y,z)) / (x * K(u,z))) \ 1 = (K(z,u) * K(y,z)) \ K(K(z,u) * K(y,z),x * K(u,z)). [para(8931(a,1),4798(a,1,1,1))]. 8942 x / (K(y,z) * K(u,y)) = x * (K(z,y) * K(y,u)). [hyper(300,a,8940,a),flip(a)]. 8943 x / (K(y,z) * K(z,u)) = x * (K(z,y) * K(u,z)). [hyper(85,a,8940,a)]. 8944 x / (K(y,z) * K(z,u)) = x * (K(u,z) * K(z,y)). [para(1757(a,1),8942(a,1,2))]. 8945 (x / R(y,z,y)) * y = x * (y \ L(y,z,y)). [para(5741(a,1),8857(a,1,2)),flip(a)]. 8946 R(x,y,x) \ x = x \ L(x,y,x). [hyper(8201,a,8945,a)]. 8947 x \ (x \ L(x,y,x)) = R(x,y,x) \ 1. [hyper(71,a,8946,a(flip),b,1225,a)]. 8948 x \ ((x \ L(x,y,x)) * T(x,z)) = T(x,z) * (R(x,y,x) \ 1). [para(8947(a,1),4605(a,2,2))]. 8949 K(x,L(y,z / T(y,u),w)) = L(K(x,y),z,w). [para(7829(a,1),8256(a,1,1)),flip(a)]. 8950 L(K(x,y),y * z,u) = K(x,L(y,z,u)). [para(137(a,1),8949(a,1,2,2)),flip(a)]. 8951 K(x,L(y,y \ z,u)) = L(K(x,y),z,u). [para(199(a,1),8949(a,1,2,2))]. 8952 L(K(x,y),T(y,z) * u,w) = K(x,L(y,K(y,z) * u,w)). [para(7518(a,1),8949(a,1,2,2)),flip(a)]. 8954 K(x * y,L(x,y,z)) = K(x * y,x). [hyper(5513,a,8950,a),flip(a)]. 8955 K((x \ y) \ (z * u),L(z,u,x)) = K(y \ (x * (z * u)),z). [hyper(228,a,6328,a(flip),b,8950,a(flip))]. 8956 L(K(x,y / z),y,u) = K(x,L(y / z,z,u)). [para(16(a,1),8950(a,1,2))]. 8957 (x * (y * z)) * K(u,L(y,z,x)) = x * ((y * z) * K(u,y)). [para(8950(a,1),100(a,1,2))]. 8958 K(x,L(y,x,z)) != u | K(L(x,y,z),y) = u. [para(8950(a,1),6346(a,1))]. 8959 K(x,K(y / z,L(u,y,w))) = K(x,K(u,L(y / z,z,w))). [para(8956(a,1),8506(a,1,2)),flip(a)]. 8960 K(K(x,y) * T(y,z),T(u,z)) = K(y,T(u,T(x,z))). [hyper(228,a,7858,a(flip),b,8260,a)]. 8961 K(K(x,y) * T(y,z),T(u,z)) != w | K(y,T(u,T(x,z))) = w. [para(8260(a,2),8159(a,1))]. 8962 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(228,a,8250,a(flip),b,8274,a)]. 8963 (K(x,K(y,z)) * T(x,K(u,w))) \ x = K(u,K(w,x)) * K(z,K(x,y)). [para(7724(a,1),8289(a,2,2))]. 8964 K(x,y) * T(z,T(x * z,y)) = T(z,x * z) * K(x,y). [para(4484(a,2),8295(a,1,2))]. 8965 K(L(x,y,z),u \ ((1 / x) \ L(K(w,v5),v6,v7))) = K(L(x,y,z),(x \ u) \ L(K(w,v5),v6,v7)). [para(5240(a,2),8300(a,2,2,2)),flip(a)]. 8966 K(x,y \ (x \ ((x * z) * y))) = ((z * x) * y) \ ((x * z) * y). [para(13(a,1),8439(a,1,1,1,1)),flip(a)]. 8967 K(T(x,y * K(z,y)),u) = K(x * K(T(x,z),y),u). [hyper(228,a,4645,a,b,8486,a)]. 8968 K(T(x * K(x * y,x),z * K(y * x,z)),u) = K((x * K(x * y,x)) * K(x,z),u). [para(5648(a,1),8967(a,2,1,2,1))]. 8969 K(T(x,y * K(z * x,y)),u) = K(x * K(T(x,z),y),u). [para(7127(a,1),8967(a,2,1,2))]. 8970 T(K(x,y),z * y) = K(x,1 / (z / (z / (1 / y)))). [hyper(228,a,5667,a(flip),b,8500,a(flip)),flip(a)]. 8971 K(x,1 / (y / (y / (1 / z)))) = K(x,T(z,y)). [hyper(228,a,6217,a(flip),b,8970,a(flip))]. 8972 L((x * (K(y,x) / T(x,z))) \ u,T(x,z) \ ((x \ 1) \ K(y,x)),T(x,z)) = ((x \ 1) \ K(y,x)) \ (T(x,z) * u). [para(8549(a,1),458(a,1,1,1))]. 8973 K(T(x,y),z \ T(x,u)) != w | K(x,T(z \ x,y)) = w. [para(8578(a,2),7239(a,1))]. 8974 K((T(x,y) * z) \ u,K(x,w)) = K(x,K(w,z \ (x \ u))). [hyper(228,a,7728,a(flip),b,8588,a)]. 8975 (K(x,y) * z) * T(y * x,z) = (y * x) * (K(x,y) * z). [para(8705(a,1),5213(a,1,2)),flip(a)]. 8976 T(K(x \ y,x) * z,y) = K(x \ y,x) * T(z,y). [hyper(5201,a,8711,a),flip(a)]. 8977 T(K(x \ (y * x),x) * z,y * x) = K(y,x) * T(z,y * x). [para(4881(a,1),8976(a,2,1))]. 8978 K(x,y) * ((y * R(x,z,u)) * x) = (x * y) * R(x,z,u). [para(1663(a,2),8716(a,1,2))]. 8979 K(x,(y * R(x,z,u)) / w) = K(x,y / (R(x,z,u) \ w)). [hyper(228,a,7525,a(flip),b,8718,a)]. 8980 K(x,y) * R(x,z,R(x,u,w)) = R(T(x,y),z,R(x,u,w)). [hyper(228,a,42,a,b,8720,a)]. 8981 K(T(x,y \ z),R(y,u,w)) = K(T(x,z),R(y,u,w)). [hyper(4908,a,8750,a),flip(a)]. 8982 T(x / y,z) * T(y,K(x,z)) = x * K(x / y,z). [para(8021(a,1),8754(a,1,2))]. 8983 T(x / y,z) * T(y,K(x,z)) != x * u | K(x / y,z) = u. [para(8982(a,2),19(a,1))]. 8984 T(x / T(y,x),z) * T(T(y,x),K(x,z)) = x * K(T(x,y) / y,z). [para(3937(a,2),8982(a,2,2,1))]. 8985 R(K(x,K(y,z \ 1)),u,w) = K(x,K(y,R(z,u,w))). [hyper(228,a,8077,a(flip),b,8760,a)]. 8986 R(K(x,K(y,z \ 1)),u,w) * x = T(x,K(R(z,u,w) \ 1,y)). [para(8760(a,2),7758(a,1,1))]. 8987 R(K(x,K(y,z)),u,w) = K(x,K(y,R(z,u,w))). [para(8077(a,1),8985(a,1,1))]. 8988 R(K(x,K(y,z)),u,w) = K(y,K(z,R(x,u,w))). [para(8080(a,1),8985(a,1,1))]. 8989 K(x,R(K(y,z),u,w)) = K(x,K(y,R(z,u,w))). [hyper(228,a,8763,a(flip),b,8987,a(flip)),flip(a)]. 8990 x * R(K(x,K(y,z)),u,w) != v5 | T(x,K(y,R(z,u,w))) = v5. [para(8987(a,2),4708(a,1,2))]. 8991 K(x,R(K(y,z),u,w)) = K(x,K(z,R(y,u,w))). [hyper(228,a,8762,a(flip),b,8988,a(flip)),flip(a)]. 8992 K(x,K(y,R(z,y,u))) = K(x,K(y,z)). [para(3854(a,1),8989(a,1,2)),flip(a)]. 8993 K(x,K(R(y,z,u) \ y,R(w,y,v5))) = K(x,K(w,(y * v5) / (R(y,z,u) * v5))). [para(6939(a,1),8991(a,1,2)),flip(a)]. 8994 (x \ y) * K(z,K(x,y)) = T(y / x,T(x,z)). [hyper(228,a,7527,a(flip),b,8793,a(flip))]. 8995 (x \ y) * K(x,K(y,z)) = T(y / x,T(x,z)). [para(7728(a,2),8994(a,1,2))]. 8996 T(x \ y,K(z,y)) = T(y / x,T(x,z)). [hyper(8156,a,8995,a)]. 8997 (x \ y) / T(y / x,T(x,z)) = K(K(z,y),x \ y). [para(8996(a,1),4645(a,2,2)),flip(a)]. 8998 (x \ y) / T(y / x,T(x,z)) = K(z,K(y,x \ y)). [hyper(228,a,7693,a(flip),b,8997,a)]. 8999 (x \ y) / T(y / x,T(x,z)) = K(z,K(y,y / x)). [para(5108(a,2),8998(a,2,2))]. 9000 (x \ y) / T(y / x,T(x,z)) = K(y,K(z,x)). [hyper(228,a,8061,a(flip),b,8999,a)]. 9001 (x \ y) / T(y / x,T(x,z)) = K(x,K(y,z)). [hyper(228,a,7728,a(flip),b,9000,a)]. 9003 K(T(x,y),z) * ((y * z) / y) = (y * (z * K(x,z))) / y. [para(8820(a,1),16(a,1,1))]. 9004 L(K(x,y),T(x,z) * u,w) != v5 | K(L(x,u,w),y) = v5. [para(8843(a,2),7968(a,1))]. 9005 L(K(x,y),x * z,u) != w | K(L(x,z,u),y) = w. [para(112(a,1),9004(a,1,2,1))]. 9006 (x / y) * (K(y,z) * K(y * z,y)) = x / L(y,z,y). [hyper(228,a,6649,a(flip),b,8926,a)]. 9007 (x / y) * a(y,z,y) = x / L(y,z,y). [para(8877(a,1),9006(a,1,2))]. 9008 (x / y) \ (x / L(y,z,y)) = a(y,z,y). [hyper(77,a,9007,a)]. 9009 (x * y) / L(y,z,y) = x * a(y,z,y). [para(15(a,1),9007(a,1,1)),flip(a)]. 9010 L(x,y,x) \ x = a(x,y,x). [hyper(228,a,6501,a(flip),b,9008,a(flip)),flip(a)]. 9011 L(x,y,x) \ 1 = x \ a(x,y,x). [hyper(71,a,9010,a(flip),b,1364,a),flip(a)]. 9012 a(x,y,x) \ x = L(x,y,x). [para(9010(a,1),6502(a,1,1))]. 9013 K(R(L(x,y,x),x \ a(x,y,x),z),u) = K(L(x,y,x),u). [para(9011(a,1),6733(a,1,1,2))]. 9014 (x / L(y,z,y)) * y = x * a(y,z,y). [hyper(1545,a,9009,a)]. 9015 (x * a(y,z,y)) \ (x * y) = L(y,z,y). [para(9009(a,1),64(a,1,1))]. 9016 x * (L(x,y,x) \ z) = z * a(x,y,x). [hyper(228,a,7446,a(flip),b,9014,a(flip)),flip(a)]. 9017 (x * L(y,z,y)) * a(y,z,y) = x * y. [para(15(a,1),9014(a,1,1)),flip(a)]. 9018 ((x * y) * a(T(y,x),z,T(y,x))) \ ((y * x) * y) = L(T(y,x),z,T(y,x)). [para(750(a,1),9015(a,1,2))]. 9019 (T(x * y,x) / x) \ (y * x) = L(x,y,x). [para(8883(a,2),9015(a,1,1))]. 9020 T(x,y) * (L(T(x,y),z,x) \ u) = u * a(x,z,x). [hyper(228,a,8450,a,b,9016,a(flip)),flip(a)]. 9021 L(x,y,x) \ (x * z) = z * a(x,y,x). [hyper(228,a,1363,a,b,9016,a(flip)),flip(a)]. 9022 K(x,y) * (z * a(x,u,x)) = T(x,y) * (L(x,u,x) \ z). [para(9016(a,1),4720(a,1,2))]. 9023 L(x,y,x) * (z * a(x,y,x)) = x * z. [para(9021(a,1),14(a,1,2))]. 9024 (x \ y) * a(x,z,x) = L(x,z,x) \ y. [para(14(a,1),9021(a,1,2)),flip(a)]. 9025 x * (y / a(x,z,x)) = L(x,z,x) * y. [para(16(a,1),9023(a,1,2)),flip(a)]. 9026 L(x,y,x) * (x \ z) = z / a(x,y,x). [hyper(17,a,1361,a,b,9025,a),flip(a)]. 9027 (x / y) \ (x / a(y,z,y)) = L(y,z,y). [hyper(71,a,9026,a(flip),b,7678,a(flip))]. 9028 (T(x * K(y \ x,z),x) / x) \ (x * K(x / y,z)) = L(x,K(y \ x,z),x). [para(7821(a,1),9019(a,1,2))]. 9029 T(x,y) * (L(T(x,y),z,x) \ u) != u * w | a(x,z,x) = w. [para(9020(a,2),19(a,1))]. 9030 K(x,y) * (z * a(y,u,y)) = y * (L(T(y,x),u,y) \ z). [para(9020(a,1),4681(a,1,2))]. 9031 K(x,K(y \ (1 / z),L(y / u,u,z))) = K(x,K(y / u,(z * y) \ K(z,1 / z))). [para(467(a,1),8959(a,1,2,2)),flip(a)]. 9032 K(x,y) * ((y * R(x,z,R(x,u,w))) * x) = (y * R(T(x,y),z,R(x,u,w))) * x. [para(8980(a,1),7046(a,1,1,2)),flip(a)]. 9033 ((x * y) / x) / ((x * (y * K(z,y))) / x) = K(y,T(z,x)). [para(9003(a,1),5040(a,1,2))]. 9035 K(x,T(y / ((K(x,z) * u) * w),v5)) = ((v5 * x) / v5) / ((v5 * (x * K(y / (u * w),x))) / v5). [para(8806(a,1),9033(a,1,2,1,2,2)),flip(a)]. 9036 K(L(x,y,z),u * K(w,x)) = K(L(x,y,z),u). [hyper(228,a,4706,a(flip),b,7077,a)]. 9037 K(L(x,y,z),K(u,x) * w) = K(L(x,y,z),w). [para(7205(a,1),9036(a,1,2))]. 9038 K(L(x,y,z),L(K(u,x),w,v5) * v6) = K(L(x,y,z),v6). [para(6128(a,1),9037(a,1,2,1))]. 9040 x \ R(x,y * K(x,z),x) = K(x,y) * K(y * x,x). [para(7257(a,1),7137(a,2,2))]. 9041 x \ R(x,y * K(x,z),x) = x \ R(x,y,x). [hyper(228,a,5743,a(flip),b,9040,a)]. 9043 a(x,y * K(x,z),x) = x \ R(x,y,x). [hyper(8888,a,9041,a)]. 9044 a(x,y * K(x,z),x) != u | a(x,y,x) = u. [para(9043(a,2),8888(a,1))]. 9045 L(K(x,T(y \ z,u)),y \ z,w) = K(x,T((z \ y) \ 1,u)). [para(7152(a,2),7158(a,1,1))]. 9046 L(K(x,T((y \ z) \ u,w)),u,y) = K(x,T(z \ (y * u),w)). [para(7152(a,2),7159(a,1,1))]. 9047 K(x,R(T(y,z * u),y \ z,u)) = K(x,((y \ z) * u) \ (z * u)). [para(61(a,1),7197(a,1,2,1,1))]. 9048 L(x,T(y,K(x,z)),x) = T(x,x * y) * K(y,x). [para(8243(a,1),7247(a,1,1)),flip(a)]. 9049 L(x,T(y,K(x,z)),x) = L(x,y,x). [hyper(228,a,5301,a(flip),b,9048,a)]. 9051 L(x,T(y,T(x,z)),x) = L(x,y,x). [hyper(228,a,7667,a(flip),b,9049,a(flip)),flip(a)]. 9053 L(x,y / T(x,z),x) = L(x,T(x,z) \ y,x). [para(115(a,1),9051(a,1,2)),flip(a)]. 9054 R(T(x,K(y,z)),K(z,y),x) \ T(K(z,y) * x,T(x,K(y,z))) = T(K(z,y),T(x,K(y,z))). [para(5981(a,1),7442(a,1,2,1))]. 9055 T(x,R(y,x \ 1,x) \ (x * z)) = T(x,(y * (x \ 1)) \ z). [hyper(228,a,4428,a(flip),b,7571,a)]. 9056 T((x \ 1) * y,K(x,z)) = (x \ 1) * T(y,K(x,z)). [hyper(228,a,515,a(flip),b,7673,a(flip))]. 9057 K(x,y) * T((x \ 1) * z,K(x,y)) = (x \ 1) * (z * K(x,y)). [para(9056(a,2),6556(a,1,2))]. 9058 K(R(x,y,R(x,z,u)),T(w,y * R(x,z,u))) = K(x,T(w,y)). [hyper(228,a,7202,a(flip),b,7688,a)]. 9059 K(x * (((y * z) \ y) \ 1),z) != u | K(((y * z) \ y) \ x,z) = u. [para(5633(a,2),7874(a,1))]. 9060 L(K(x,T(T(y,z),u * z)),z,u) = (u * (K(x,y) * z)) / (u * z). [para(7174(a,1),7898(a,1,1,2)),flip(a)]. 9061 x * (y * K(L(z \ u,z,w),T(((w * u) / (w * z)) \ 1,w * z))) = (x * K((w * u) / (w * z),((w * u) / (w * z)) \ 1)) * y. [para(7901(a,2),4407(a,2,2,2)),flip(a)]. 9062 K(L(x,y,L(x,z,u)),T(w,L(x,z,u) * y)) = K(x,T(w,y)). [hyper(7974,a,8254,a),flip(a)]. 9063 T((x \ y) * x,y \ 1) \ y = (y \ 1) * (x * (y / x)). [hyper(8325,a,6574,a)]. 9064 x * K(y,(x \ 1) * (z * x)) = K(y,L(z,x,x \ 1)) * x. [para(5384(a,1),8434(a,1,2))]. 9065 K(x,(y * (z * x)) \ u) != w | K(x,(y * z) \ (x \ u)) = w. [para(6813(a,1),8448(a,1))]. 9066 x * (y * K(z,K(u,x * y))) = T(x * y,K(z,L(u,y,x))). [hyper(228,a,8517,a(flip),b,8508,a(flip))]. 9067 K((x * (y * z)) \ ((x * z) * y),K(z,u)) = K(K(a(x,z,T(y,z)),z),u). [para(8577(a,1),7693(a,1,1)),flip(a)]. 9068 K(x,R(T(K(x,y),z * u),z,u)) = K(x,a(K(x,y),z,u)). [para(595(a,1),8623(a,1,2))]. 9069 K(x,a(K(x,y),z,u)) = 1. [hyper(228,a,5817,a(flip),b,9068,a(flip))]. 9071 T(x,a(K(x,y),z,u)) = x. [hyper(37,a,9069,a)]. 9072 T(a(K(x,y),z,u),x) = a(K(x,y),z,u). [hyper(35,a,9071,a)]. 9073 T(T(x,y),a(K(x,z),u,w)) = T(x,y). [para(9071(a,1),38(a,1,1)),flip(a)]. 9074 a(K(x,y),z,u) * x = x * a(K(x,y),z,u). [para(9071(a,1),113(a,1,2))]. 9075 K(x,y) * a(K(x,z),u,w) = a(K(x,z),u,w) * K(x,y). [para(9071(a,1),7205(a,1,2,1)),flip(a)]. 9076 K(a(K(x,y),z,u),w) * x = x * K(a(K(x,y),z,u),w). [para(9072(a,1),7205(a,1,2,1)),flip(a)]. 9077 (x * (y * L(x,z,u))) \ ((y * L(x,z,u)) * T(x,y)) = x \ R(x,y,L(x,z,u)). [hyper(228,a,8866,a,b,8687,a(flip)),flip(a)]. 9078 x \ R(x,y,L(x,z,u)) != w | K(y * L(x,z,u),x) * K(x,y) = w. [para(8687(a,1),1759(a,1))]. 9079 K(R(x,y / x,z),u) = K((y * z) / ((y / x) * z),T(u,y)). [hyper(7908,a,8834,a)]. 9080 K(L(x,y * z,u),(u \ (u * (x * y))) \ (x * (y * z))) = K(x,L(L(z,y,x),x * y,u)). [para(447(a,1),8842(a,2,2))]. 9081 (x * (y * z)) * K(u,L(y,z,x)) = x * (y * (z * K(u,y))). [para(7116(a,1),8957(a,2,2))]. 9082 T(x,R(K(y,z),u,w)) != v5 | T(x,K(y,R(z,u,w))) = v5. [para(8764(a,1),8990(a,1))]. 9083 K(x,T((y \ z) \ 1,u)) = K(x,T(z \ y,u)). [hyper(7369,a,9045,a),flip(a)]. 9084 K(x,T((y * z) \ y,u)) = K(x,T(z \ 1,u)). [para(13(a,1),9083(a,1,2,1,1)),flip(a)]. 9085 K(x,T((y \ z) / z,u)) = K(x,T(y \ 1,u)). [para(330(a,1),9084(a,1,2,1))]. 9086 K(x,T((y / z) \ 1,u)) = K(x,T(z / y,u)). [para(64(a,1),9085(a,1,2,1,1)),flip(a)]. 9087 K(x,T((y \ z) \ x,u)) = K(x,T(z \ (y * x),u)). [hyper(5513,a,9046,a)]. 9088 K(x,T((y \ z) \ x,y)) = K(x,(z / y) \ x). [hyper(228,a,8378,a(flip),b,9087,a)]. 9089 K(x,T((y \ z) \ x,y)) != u | K(x,(z / y) \ x) = u. [para(9087(a,2),8391(a,1))]. 9090 K(x,((y * z) / y) \ x) = K(x,T(z \ x,y)). [para(13(a,1),9088(a,1,2,1,1)),flip(a)]. 9091 K(x,T(y \ x,y \ z)) = K(x,(z / (z / y)) \ x). [para(3906(a,1),9090(a,1,2,1)),flip(a)]. 9092 K(x,T((y / (z * y)) \ x,z)) = K(x,R(1 / (1 / (1 / z)),z,y) \ x). [para(4014(a,2),9090(a,1,2,1)),flip(a)]. 9093 T(x,(y * (x \ 1)) \ (x \ z)) = T(x,R(y,x \ 1,x) \ z). [para(14(a,1),9055(a,1,2,2)),flip(a)]. 9094 K(x,T(y,z * R(x,u,w))) = K(x,T(y,z)). [hyper(228,a,8719,a(flip),b,9058,a(flip)),flip(a)]. 9096 K(x,T(y,z / R(x,u,w))) = K(x,T(y,z)). [para(16(a,1),9094(a,1,2,2)),flip(a)]. 9097 K(x,T(y,R(x,z,u) \ w)) = K(x,T(y,w)). [hyper(228,a,7652,a(flip),b,9096,a(flip)),flip(a)]. 9099 K(x,T(y,R(x,z,u) * w)) = K(x,T(y,w)). [para(13(a,1),9097(a,1,2,2)),flip(a)]. 9100 K(x,T(y,(x * z) * u)) = K(x,T(y,z * u)). [para(141(a,1),9097(a,1,2,2)),flip(a)]. 9101 K(x,T(y \ (R(x,z,u) * w),w)) = K(x,(R(x,z,u) * w) / y). [hyper(8176,a,9099,a),flip(a)]. 9102 K(x,T(y,R(x,z,u) * w)) = K(x,y) * K(x,K(y,w)). [hyper(228,a,7706,a,b,9099,a)]. 9104 K(x,T(y,(z * x) * u)) = K(x,T(y,z * u)). [hyper(228,a,8466,a,b,9100,a(flip)),flip(a)]. 9105 K(x,T(y / ((z * x) * u),z * u)) = K(x,((z * x) * u) \ y). [para(115(a,1),9104(a,1,2)),flip(a)]. 9106 K(x,K(y,R(x,z,u) * w)) = K(x,K(y,w)). [hyper(7984,a,9102,a)]. 9107 K(x,T(y,R(x,z,u) * w)) != v5 | K(x,T(y,w)) = v5. [para(9102(a,2),7981(a,1))]. 9108 K(x,K(y,R(x,z,u) \ w)) = K(x,K(y,w)). [para(14(a,1),9106(a,1,2,2)),flip(a)]. 9109 K(x,K(y,(x * z) * u)) = K(x,K(y,z * u)). [para(109(a,1),9106(a,1,2,2))]. 9110 K(x,K(y,z \ R(x,u,w))) = K(x,K(y,z)). [hyper(8113,a,9108,a)]. 9111 K(x,K(y,R(x,z,u) / w)) = K(x,K(y,w)). [para(64(a,1),9110(a,1,2,2)),flip(a)]. 9112 K(x,K(y,z * R(x,u,w))) = K(x,K(y,z)). [hyper(8111,a,9111,a),flip(a)]. 9113 K(x,K(y,(y * z) * u)) = K(y,K(x,z * u)). [hyper(7725,a,9109,a)]. 9114 K(x,K(y,z * u)) * K(y,x) = K(y,T(x,(x * z) * u)). [para(9109(a,1),7756(a,1,1))]. 9115 K(x,T(y,x * z)) != u | K(x,T(y,z)) = u. [para(340(a,1),9107(a,1,2,2,1))]. 9116 K(x,y / (x * z)) != u | K(x,T((x * z) \ y,z)) = u. [para(7842(a,1),9115(a,1))]. 9117 K(x,T(y,(y * z) * u)) = K(x,T(y,z * u)). [hyper(8002,a,9114,a),flip(a)]. 9118 K(x,T(y,(y \ z) * u)) = K(x,T(y,z * u)). [para(14(a,1),9117(a,1,2,2,1)),flip(a)]. 9119 K(x \ y,T(x,y * z)) = K(x \ y,T(x,z)). [hyper(9115,a,9118,a),flip(a)]. 9120 K(x \ (y / z),T(x,z)) = K(x \ (y / z),T(x,y)). [para(16(a,1),9119(a,1,2,2)),flip(a)]. 9121 K(x,T(y,L(x,z,u) * w)) = K(x,T(y,w)). [hyper(228,a,8694,a(flip),b,9062,a(flip)),flip(a)]. 9123 K(x,T(y,z * (u * x))) = K(x,T(y,z * u)). [hyper(228,a,8679,a(flip),b,9121,a(flip)),flip(a)]. 9124 K(x,T(y,L(x,z,u) \ w)) = K(x,T(y,w)). [para(14(a,1),9121(a,1,2,2)),flip(a)]. 9125 K(x,T(y,z / L(x,u,w))) = K(x,T(y,z)). [hyper(228,a,8678,a,b,9124,a(flip)),flip(a)]. 9127 K(x,T(y,z * (u / x))) = K(x,T(y,z * u)). [para(506(a,1),9125(a,1,2,2))]. 9129 K(x,T(y,z * (x * u))) = K(x,T(y,z * u)). [hyper(228,a,7618,a(flip),b,9123,a(flip)),flip(a)]. 9130 K(x,T(x * y,z * y)) = K(x,T(x * y,z)). [hyper(228,a,7151,a(flip),b,9129,a(flip))]. 9131 K(x,T(y,z * (x \ u))) = K(x,T(y,z * u)). [para(14(a,1),9129(a,1,2,2,2)),flip(a)]. 9132 K(x,T(x * y,z * y)) = K(x,T(y * x,z)). [hyper(228,a,5437,a,b,9130,a)]. 9133 K(x,T((y * (x \ z)) \ u,y * z)) != w | K(x,u / (y * (x \ z))) = w. [para(9131(a,1),7960(a,1))]. 9134 K(x,T((y \ 1) * (z * y),y)) = K(x,L(z,y,y \ 1)). [hyper(7834,a,9064,a)]. 9135 T(x * y,K(z,L(u,y,x))) = T(x * y,K(z,u)). [hyper(8535,a,9066,a),flip(a)]. 9136 R(K((x / y) \ x,z),x,u) = K(R(y,x / y,u),z). [hyper(228,a,7276,a(flip),b,9079,a),flip(a)]. 9137 K(R(x,y / x,z),u) = R(K(x,u),y,z). [para(64(a,1),9136(a,1,1,1)),flip(a)]. 9138 R(K(x,y),z * x,u) = K(R(x,z,u),y). [para(15(a,1),9137(a,1,1,2)),flip(a)]. 9140 K(R(x,y,z),y) = K(x,R(y,x,z)). [hyper(8792,a,9138,a),flip(a)]. 9141 R(K(x,y),z * (K(u,y) * x),w) = K(R(K(u,y) * x,z,w),y). [para(7308(a,1),9138(a,1,1))]. 9142 K(R(x,y,z),y) != u | K(x,R(y,x,z)) = u. [para(9138(a,1),8792(a,1))]. 9143 x * K(R(x,y,z),y) = T(x,R(y,x,z)). [para(9140(a,2),4705(a,2,2)),flip(a)]. 9144 (x * (y * (K(z,y) \ (y \ u)))) * K(z,L(y,K(z,y) \ (y \ u),x)) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). [para(4504(a,2),9081(a,2,2))]. 9145 x * (K(y,z) * L(T(y,x),u,w)) = L(y,u,w) * (x * K(y,z)). [hyper(6054,a,7062,a)]. 9146 (((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z)) * K((K(x,y) / x) * (x * z),u) = T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),u). [para(7141(a,1),5651(a,1,2,1))]. 9147 K(x,T((y \ 1) * ((z \ y) * z),u)) != w | K(z,K(x,T(y,u))) = w. [para(7194(a,2),8342(a,1))]. 9148 T(T(x * K(y,x),z),u) \ T(T(x,z),u) = K(x,T(T(y,u),z)). [hyper(228,a,7202,a(flip),b,7211,a)]. 9149 T(T(x * K(y,x),z),u) \ T(T(x,z),u) != w | K(x,T(T(y,u),z)) = w. [para(7211(a,2),7637(a,1))]. 9150 (x * K(y,T(z,u))) * K(z,w) = (x * K(z,w)) * K(y,T(z,u)). [para(7202(a,1),7244(a,1,1,2))]. 9151 K(x,y / z) * K(z \ y,z) = z \ (y / T(y / z,x)). [hyper(228,a,5955,a(flip),b,7287,a(flip))]. 9152 L(x,T(y,z) \ u,T(y,u)) = L(x,y \ (K(z,y) * u),y). [para(4997(a,1),7313(a,1,2))]. 9153 L(x,T(y,z) \ u,T(y,u)) = L(x,T(y,z) \ u,y). [para(4997(a,1),9152(a,2,2))]. 9154 T(x,y) * ((T(x,y) \ y) * z) = y * L(z,T(x,y) \ y,x). [para(9153(a,1),441(a,1,2)),flip(a)]. 9155 T(x,y) * ((x \ T(y,x)) * z) = y * L(z,T(x,y) \ y,x). [para(3939(a,1),9154(a,1,2,1))]. 9156 T(x,y) * ((x \ T(y,x)) * z) = y * L(z,x \ T(y,x),x). [para(3939(a,1),9155(a,2,2,2))]. 9157 (x * L(y,z \ T(x,z),z)) \ (x * y) = a(T(z,x),T(z,x) \ x,y). [para(9156(a,1),3965(a,1,1))]. 9158 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(6251(a,2),7323(a,2,2)),flip(a)]. 9159 R(K(x,y),T(T(y,z),u),w) = K(x,y). [hyper(4535,a,7344,a)]. 9160 T(T(x,y),K(z,x)) * ((T(x,y) * K(z,x)) \ u) = K(z,x) \ u. [para(9159(a,1),714(a,1,1)),flip(a)]. 9161 K(x,K((y * x) / z,T(u,z))) = K(x,K(u,(z / x) \ y)). [hyper(8271,a,7377,a)]. 9162 K(x,K(y,(z / x) \ u)) = K(x,K(y,z \ (u * x))). [hyper(7958,a,9161,a),flip(a)]. 9163 K(x,y) * (z * T(z \ (K(x,y) \ u),x)) = z * T(z \ u,x). [hyper(228,a,409,a(flip),b,7584,a)]. 9164 (1 / (x \ y)) * K(y / x,z) = K(y / x,z) / (x \ y). [para(7837(a,1),7903(a,1,1)),flip(a)]. 9165 K(1 / x,y) / (x \ 1) = x * K(1 / x,y). [hyper(580,a,9164,a),flip(a)]. 9166 1 / (x \ K(y,1 / x)) = x * K(1 / x,y). [hyper(228,a,5194,a(flip),b,9165,a(flip)),flip(a)]. 9167 1 / ((x * (y \ 1)) / x) = y * K(1 / y,x). [para(4825(a,1),9166(a,1,2))]. 9168 1 / ((x * ((y / z) \ 1)) / x) = (y / z) * K(z / y,x). [para(5631(a,1),9167(a,2,2))]. 9169 K(T(x,y),((x \ 1) * y) \ z) = K(x,z / ((x \ 1) * y)). [hyper(228,a,7035,a(flip),b,7918,a(flip)),flip(a)]. 9170 K(T(x,T(y,x)),((T(x,y) \ 1) * y) \ z) = K(x,z / ((x \ 1) * T(y,x))). [para(5225(a,2),9169(a,1,2,1))]. 9171 x / (K(T(y,z),x) * K(x,z)) = T(x * K(z,x),y). [para(4889(a,1),7926(a,1,2,2))]. 9172 T(x * K(y,x),z) \ x = K(T(z,y),x) * K(x,y). [para(9171(a,1),64(a,1,1))]. 9174 T((x * y) / x,z) \ y = K(T(z,x),y) * K(y,x). [para(4673(a,2),9172(a,1,1,1))]. 9175 T((x * y) / x,z) \ y = K(y,x) * K(T(z,x),y). [hyper(228,a,1757,a,b,9174,a)]. 9176 K(x,y) * K(T(L(x,z,u) * y,y),x) = L(x,y,L(x,z,u)) \ x. [para(1527(a,1),9175(a,1,1)),flip(a)]. 9177 K(x,R(y,z * K(y,u),w)) = K(x,R(y,z,w)). [hyper(8784,a,8039,a),flip(a)]. 9178 K(x,R(y,z * K(y,u),w)) != v5 | K(x,R(y,z,w)) = v5. [para(8039(a,1),8784(a,1))]. 9180 K(x,R(y,T(z,y),u)) = K(x,R(y,z,u)). [para(4655(a,1),9177(a,1,2,2)),flip(a)]. 9181 K(x,R(y,K(y,z) * u,w)) = K(x,R(y,u,w)). [para(7174(a,1),9177(a,1,2,2))]. 9182 R(K(x,y),z * y,u) = K(x,R(y,z,u)). [hyper(6951,a,9180,a)]. 9183 R(K(x,y \ z),z,u) = K(x,R(y \ z,y,u)). [para(14(a,1),9182(a,1,2))]. 9184 R(K(x,y),z * T(y,u),w) = K(x,R(y,z * K(y,u),w)). [para(5177(a,1),9182(a,1,2))]. 9185 K(R(x,K(x,y) * z,u),w) = (v5 * K(w,R(x,z,u))) \ v5. [para(9181(a,1),5037(a,1,1,2)),flip(a)]. 9186 R(K(x,y \ R(y,z,u)),R(y,z,u),z * u) = K(x,((y * z) * u) / (y * (z * u))). [para(3520(a,1),9183(a,2,2))]. 9187 R(K(x,y),z * T(y,u),w) != v5 | K(x,R(y,z,w)) = v5. [para(9184(a,2),9178(a,1))]. 9188 R(K(x,y),z * y,u) != w | K(x,R(y,z,u)) = w. [para(112(a,1),9187(a,1,2,2))]. 9189 R(K(x,y),z * (y * K(u,x)),w) != v5 | K(x,R(y * K(u,x),z,w)) = v5. [para(7131(a,1),9188(a,1,1))]. 9190 K(R(x,K(x,y) * z,u),w) = K(R(x,z,u),w). [hyper(228,a,5037,a(flip),b,9185,a)]. 9191 K(R(x,K(x,y) * z,u),w) != v5 | K(R(x,z,u),w) = v5. [para(9185(a,2),5085(a,1))]. 9192 R(K(x,y),K(x,z) * u,w) = K(R(x,x \ u,w),y). [hyper(228,a,6738,a(flip),b,9190,a(flip)),flip(a)]. 9193 K(R(x,K(y,x) * z,u),w) = K(R(x,z,u),w). [para(5042(a,1),9190(a,1,1,2)),flip(a)]. 9195 R(K(x,y),K(x,z) * u,w) = R(K(x,y),u,w). [hyper(228,a,6732,a(flip),b,9192,a)]. 9196 R(K(x,y),z / x,u) = R(K(x,y),x \ z,u). [para(4738(a,1),9195(a,1,2))]. 9198 R(K(x,y),x \ y,z) * ((y / T(x,y)) * z) = (y / x) * z. [para(9196(a,1),6916(a,1,1))]. 9199 x * ((y / T(z,y)) * u) != (y / z) * u | R(K(z,y),z \ y,u) = x. [para(9198(a,1),20(a,1)),flip(a)]. 9200 K(x,(T(y,z) / u) / (y / u)) = K(x,K(z,y)). [hyper(8297,a,8101,a),flip(a)]. 9201 T(K(x,y) / z,K(x,y)) = T(K(x,y),1 / z) / z. [hyper(228,a,7717,a(flip),b,8195,a(flip))]. 9202 T(K(x,y) / z,K(x,y)) = K(x,T(y,1 / z)) / z. [para(7152(a,2),9201(a,2,1))]. 9203 T(K(x,y) / z,K(x,y)) = K(x,T(y,z)) / z. [para(8144(a,1),9202(a,2,1))]. 9204 T(K(x,y) / z,K(x,y)) * K(u,z) = K(x,T(y,z)) / T(z,u). [para(9203(a,2),5205(a,1,1))]. 9205 K(x * ((T(y,y \ 1) * z) \ (((y \ 1) \ 1) \ (T(y,y \ 1) * z))),y \ 1) = K(x * (z / (T(y,y \ 1) * z)),y \ 1). [para(612(a,1),8210(a,1,1,2,1)),flip(a)]. 9206 K(x,(y * z) \ (x \ y)) = K(x,z \ (x \ 1)). [hyper(8585,a,8217,a)]. 9207 K(x,(y \ z) \ (x \ 1)) = K(x,z \ (x \ y)). [para(14(a,1),9206(a,1,2,1)),flip(a)]. 9208 K((x * y) \ (z \ x),z) = (u * K(z,y \ (z \ 1))) \ u. [para(9206(a,1),5037(a,1,1,2)),flip(a)]. 9209 K((x * y) \ (z \ x),z) = K(y \ (z \ 1),z). [hyper(228,a,5037,a(flip),b,9208,a)]. 9210 K((x \ y) \ (z \ 1),z) = K(y \ (z \ x),z). [para(14(a,1),9209(a,1,1,1)),flip(a)]. 9211 1 / (x \ K(y \ (x \ z),x)) = T(x,(z \ y) \ (x \ 1)). [para(9210(a,1),4806(a,2,2,2)),flip(a)]. 9212 T(x,(y \ z) \ (x \ 1)) = T(x,z \ (x \ y)). [hyper(4807,a,9211,a),flip(a)]. 9213 T(x,(x * (y \ z)) \ 1) = T(x,z \ (x \ y)). [hyper(8425,a,9212,a)]. 9214 K(x,(K(y \ x,y) * z) \ x) = K(x,z \ x). [hyper(228,a,6760,a(flip),b,8240,a)]. 9216 K(x,y \ (K(z,z \ x) * x)) = K(x,y \ x). [hyper(228,a,6306,a(flip),b,9214,a(flip)),flip(a)]. 9217 K(x,y \ (z * (x / z))) = K(x,y \ x). [para(4723(a,1),9216(a,1,2,2))]. 9218 K(x,y \ ((z \ x) * z)) = K(x,y \ x). [para(61(a,1),9217(a,1,2,2,2))]. 9219 K(x,((y \ x) * (y / z)) \ x) != u | L(K(x,z),y,y \ x) = u. [para(9218(a,1),6325(a,1))]. 9220 T(x,y / z) * K(z \ y,z) = (y / z) \ (x * (z \ y)). [hyper(228,a,5917,a(flip),b,8248,a)]. 9221 x \ ((y / z) \ (x * (z \ y))) = K(x,y / z) * K(z \ y,z). [hyper(71,a,9220,a(flip),b,4675,a)]. 9222 K(x,y) * (K(z,x) * (u * K(y,x))) = T(K(z,x) * u,K(x,y)). [para(5062(a,1),8394(a,1,1,2)),flip(a)]. 9223 T(K(x,y) * T(z,K(y,u)),K(y,u)) = K(y,u) * (K(x,y) * (K(y,u) \ z)). [para(6003(a,1),8394(a,1,1,2))]. 9224 K(x,K(y,z \ (u * y))) = K(x,K(y,z \ u)). [hyper(17,a,8406,a,b,8402,a)]. 9225 K(x,K(y,z \ (u * y))) = K(y,K(x,z \ u)). [hyper(228,a,7723,a,b,9224,a)]. 9226 K(x,K(y,R(z,u,w) * (z \ y))) = K(x,K(y,z \ R(z,u,w))). [para(1221(a,1),9224(a,1,2,2))]. 9227 K(x,K(y,z \ (y \ u))) = K(x,K(y,z \ u)). [para(8409(a,1),9224(a,1,2)),flip(a)]. 9228 K(x,K(y,z \ (u * x))) = K(x,K(y,z \ u)). [hyper(7725,a,9225,a)]. 9229 K(x,K(T(y,z),u \ (y * z))) = K(T(y,z),K(x,u \ z)). [para(113(a,1),9225(a,1,2,2,2))]. 9230 K(x,K(y,(z / x) \ u)) = K(x,K(y,z \ u)). [hyper(228,a,9162,a,b,9228,a(flip)),flip(a)]. 9231 T(K(x,y),(z \ (u * x)) \ 1) = K(x,y) * K(x,K(y,z \ u)). [para(9228(a,1),8092(a,1,2)),flip(a)]. 9232 K(x,K(y,(x \ z) \ u)) = K(x,K(y,z \ u)). [hyper(228,a,8057,a(flip),b,9230,a(flip)),flip(a)]. 9233 K(x,K(y,z \ (x \ u))) = K(x,K(y,u \ z)). [hyper(8113,a,9232,a)]. 9234 K(x,y) * K(x,K(y,z \ u)) = K(x,T(y,(x \ z) \ u)). [para(9232(a,1),7706(a,1,2))]. 9235 K((T(x,y) * z) \ u,K(x,w)) = K(x,K(w,u \ z)). [hyper(228,a,8974,a,b,9233,a(flip)),flip(a)]. 9236 K(x,K(y,(T(x,z) * u) \ w)) = K(x,K(y,w \ u)). [hyper(7760,a,9235,a)]. 9237 K(x,K(y,T(z \ (y * u),u))) = K(T(y,u),K(x,z \ u)). [para(7202(a,1),9229(a,1,2))]. 9238 K(x,T(y,(x \ z) \ u)) = K(x,T(y,z \ u)). [hyper(7981,a,9234,a),flip(a)]. 9239 K(x,T(y,z \ (x * u))) = K(x,T(y,z \ u)). [hyper(228,a,8162,a(flip),b,9238,a(flip)),flip(a)]. 9240 K(x,T(y,(x * z) \ u)) = K(x,T(y,z \ u)). [para(13(a,1),9238(a,1,2,2,1)),flip(a)]. 9241 K(x,T(y,z \ (u * x))) = K(x,T(y,z \ u)). [hyper(228,a,8821,a,b,9239,a(flip)),flip(a)]. 9242 K(x,T(y,(z * u) \ ((x * z) * u))) = K(x,T(y,a(x,z,u))). [para(24(a,2),9240(a,1,2,2)),flip(a)]. 9243 K(x \ y,T(z,u \ y)) = K(x \ y,T(z,u \ x)). [para(14(a,1),9241(a,1,2,2,2))]. 9244 K(x \ 1,T(y,z \ x)) != u | K(x \ 1,T(y,z)) = u. [para(9243(a,1),8183(a,1))]. 9245 K(T(x,y),K(z,u \ y)) = K(z,K(x,(x * y) / u)). [para(7935(a,1),9237(a,1,2)),flip(a)]. 9246 K(T(x,y),K(z,u \ y)) = K(x,K(z,(x * y) / u)). [hyper(228,a,7723,a,b,9245,a)]. 9247 K(x,K(T(y,z),u \ z)) = K(y,K(x,(y * z) / u)). [hyper(7725,a,9246,a)]. 9248 K(x,K(y,(x * z) / u)) = K(y,K(x,z / u)). [para(7847(a,1),9247(a,1,2)),flip(a)]. 9249 K(x,K(y,(x * z) / u)) != w | K(x,K(y,z / u)) = w. [para(9248(a,2),7725(a,1))]. 9250 K(x,T(y,R(T(x,z * u),z,u))) = K(x,T(y,a(x,z,u))). [para(595(a,1),9242(a,1,2,2))]. 9251 K(x,T(y,a(x,z,u))) = K(x,y). [hyper(7966,a,9250,a),flip(a)]. 9252 K(x,y / a(x,z,u)) = K(x,a(x,z,u) \ y). [hyper(7960,a,9251,a)]. 9254 T(x,T(y,a(x,z,u))) = x * K(x,y). [para(9251(a,1),4705(a,2,2))]. 9255 T(x,T(y,a(x,z,u))) = T(x,y). [hyper(228,a,4705,a,b,9254,a)]. 9256 (T(x,x \ y) * a(x,z,u)) \ (a(x,z,u) * ((x \ y) \ y)) = K(a(x,z,u),x). [para(9255(a,1),8531(a,1,1,1))]. 9257 K(x,a(x,y,y \ 1) \ (z \ R(x,y,y \ 1))) = K(x,z \ x). [hyper(228,a,8382,a(flip),b,9252,a(flip))]. 9258 (x \ ((y \ (x * z)) * y)) * u = (z * K((x \ 1) \ (y \ z),y)) * u. [para(4609(a,1),8446(a,2,1)),flip(a)]. 9259 T(K(x,y),T(z,u * x)) = T(K(x,y),T(z,x * u)). [hyper(8330,a,8495,a),flip(a)]. 9260 T(K(x,y \ (z * x)),T(y,x * z)) = T(K(x,y \ (z * x)),y). [hyper(8494,a,9259,a),flip(a)]. 9261 K(x,(1 / y) * ((z \ ((1 / y) \ 1)) * z)) = K(x,K(y,z)). [hyper(228,a,8060,a(flip),b,8501,a)]. 9262 K(x,(1 / y) * ((z \ y) * z)) = K(x,K(y,z)). [para(64(a,1),9261(a,1,2,2,1,2))]. 9263 K(x,(y \ 1) * ((z \ y) * z)) = K(x,K(y,z)). [hyper(228,a,5384,a(flip),b,9262,a(flip)),flip(a)]. 9264 K(x,T(x \ y,z)) * (K(y,z) * x) = T(x,x \ y) * K(y,z). [hyper(228,a,6021,a(flip),b,8582,a(flip))]. 9265 R(x,K(y,T(z,u)),u * K(z,w)) = R(x,K(y,z),u * K(z,w)). [para(7152(a,2),8599(a,1,2))]. 9266 K((x * (y * z)) \ u,z) = K((x * y) \ (z \ u),z). [hyper(5085,a,8649,a),flip(a)]. 9267 K((x * (y * z)) \ u,y) = K((x * z) \ (y \ u),y). [hyper(228,a,8559,a(flip),b,9266,a(flip)),flip(a)]. 9268 K((x * y) \ ((1 / y) \ z),1 / y) = K(x \ z,1 / y). [para(63(a,1),9267(a,1,1,1)),flip(a)]. 9269 1 / (x \ K((y * z) \ (x \ u),x)) = T(x,(y * (x * z)) \ u). [para(9267(a,1),4806(a,2,2,2)),flip(a)]. 9270 K((x * (y \ z)) \ ((1 / (y \ z)) \ u),1 / (y \ z)) = K(x \ u,z \ y). [hyper(228,a,5555,a(flip),b,9268,a)]. 9271 K(x,y \ R(T(x,z),u,w)) = K(x,R(x,u,w) * (y \ 1)). [hyper(228,a,7402,a(flip),b,8712,a(flip))]. 9273 K(x,y \ R(T(x,z),u,w)) = K(x,y \ R(x,u,w)). [hyper(228,a,6231,a(flip),b,9271,a)]. 9274 K(x,R(T(x,y),z,u) / w) = K(x,w \ R(x,z,u)). [hyper(228,a,7322,a,b,9273,a(flip)),flip(a)]. 9276 K(x,R(T(x,y),z,u) / w) = K(x,R(x,z,u) / w). [hyper(228,a,6227,a,b,9274,a)]. 9277 K(x,R(T(x,y),z,u) / w) != v5 | K(x,w \ R(x,z,u)) = v5. [para(9276(a,2),7644(a,1))]. 9278 T(T(x,1 / (y / z)),K(y,z)) = T(x,1 / T(y / z,y)). [hyper(8177,a,8758,a)]. 9279 T(T(x,1 / (y / z)),K(z,z / y)) = T(x,1 / (z \ y)). [para(115(a,1),8758(a,2,2,2))]. 9280 T(T(x,1 / (y / z)),K(y,z)) = T(x,1 / (z \ y)). [hyper(228,a,8127,a(flip),b,9279,a(flip)),flip(a)]. 9281 T(x,1 / T(y / z,y)) = T(x,1 / (z \ y)). [hyper(228,a,9278,a(flip),b,9280,a(flip)),flip(a)]. 9282 T(x,T(1 / (y / z),y)) = T(x,1 / (z \ y)). [hyper(8757,a,9281,a)]. 9283 T(x,1 / ((y \ z) \ z)) = T(x,T(1 / y,z)). [para(61(a,1),9282(a,1,2,1,2)),flip(a)]. 9284 T(x,T(1 / (y \ z),z)) = T(x,1 / (z / y)). [hyper(228,a,8296,a(flip),b,9283,a(flip))]. 9285 T(x,K(y,z / y) / (z \ y)) = T(x,1 / (y / z)). [hyper(228,a,8270,a,b,9284,a(flip)),flip(a)]. 9286 T(x,R(y / (y / z),u,w)) = x * K(T(x,y),R(z,u,w)). [para(8981(a,1),8825(a,2,2))]. 9287 T(x,R((y * z) / y,u,w)) = T(x,R(y / (y / z),u,w)). [hyper(228,a,8041,a,b,9286,a),flip(a)]. 9288 T(x,R(y / (y / z),u,w)) = T(x,R(T(z,y),u,w)). [hyper(228,a,8487,a(flip),b,9287,a(flip))]. 9289 T(x,R(T(y,y \ z),u,w)) = T(x,R(T(y,z),u,w)). [hyper(228,a,8595,a,b,9288,a(flip)),flip(a)]. 9290 T(x,R((y \ z) \ z,u,w)) = T(x,R(T(y,z),u,w)). [para(114(a,1),9289(a,1,2,1))]. 9291 T(x,R(((y / T(1 / z,u)) \ 1) \ K(z,z \ 1),w,v5)) = T(x,R(T(y / T(z \ 1,u),K(z,z \ 1)),w,v5)). [para(6656(a,1),9290(a,1,2,1,1))]. 9292 R(x,y,z) * a(u,R(x,y,z),u) = R(x * a(u,x,u),y,z). [para(8883(a,1),8897(a,1,1)),flip(a)]. 9293 x \ ((x \ L(x,y,x)) * T(x,z)) = R(x,y,x) \ T(x,z). [hyper(228,a,2018,a(flip),b,8948,a)]. 9294 x \ (K(x,y) * L(x,z,x)) = R(x,z,x) \ T(x,y). [para(4993(a,1),9293(a,1,2))]. 9295 R(x,y,x) \ T(x,z) = x \ L(T(x,z),y,x). [para(7025(a,1),9294(a,1,2)),flip(a)]. 9296 R((x * y) / x,z,y) \ y = y \ L(T(y,x),z,y). [hyper(228,a,7097,a,b,9295,a(flip)),flip(a)]. 9297 T(T(x,y) / T(R(x,z,x),u),R(x,z,x)) = (x \ L(T(x,y),z,x)) * K(u,R(x,z,x)). [para(9295(a,1),7549(a,2,1))]. 9298 (T(x,y) / T(R(x,z,x),u)) * K(x \ L(T(x,y),z,x),R(x,z,x)) = T(T(x,y) / T(R(x,z,x),u),R(x,z,x)). [para(9295(a,1),7368(a,1,2,1))]. 9299 T(x / ((y \ L(T(y,z),u,y)) \ y),T(R((z * y) / z,u,y),y)) = ((R((z * y) / z,u,y) \ y) \ y) \ x. [para(9296(a,1),7266(a,1,1,2,1))]. 9300 ((x * y) * z) \ ((y * x) * z) = K(y,R(T(x,z),y,z)). [hyper(228,a,8691,a(flip),b,8966,a(flip))]. 9301 T(K(x,y) * z,x * y) = K(x,y) * T(z,x * y). [para(4881(a,1),8977(a,1,1,1))]. 9302 T(x * K(y,z),z * y) = T(x,z * y) * K(y,z). [hyper(6586,a,9301,a),flip(a)]. 9303 (x * (y * z)) \ ((y * z) * T(x * K(z,y),y * z)) = L(K(z,y),T(x,y * z),y * z). [para(9302(a,2),178(a,1,2,2))]. 9304 (x * (y * z)) * L(K(z,y),T(x,y * z),y * z) = (y * z) * T(x * K(z,y),y * z). [para(9302(a,2),453(a,2,2))]. 9305 T(x,K(R(y,z,u) \ 1,w)) = R(K(x,K(y,w)),z,u) * x. [para(8073(a,1),8986(a,1,1,1)),flip(a)]. 9306 T(x,K(R(y,z,u) \ 1,w)) = K(x,R(K(y,w),z,u)) * x. [para(8763(a,1),9305(a,2,1))]. 9307 T(x,K(R(y,z,u) \ 1,w)) = T(x,R(K(y,w),z,u)). [hyper(228,a,4712,a,b,9306,a)]. 9308 T(x,R(K(y,z),u,w)) = T(x,K(z,R(y,u,w))). [hyper(8123,a,9307,a),flip(a)]. 9309 T(x,K(y,R(z,u,w))) = T(x,K(z,R(y,u,w))). [hyper(9082,a,9308,a)]. 9310 T(x,K(y,R(z,u,w))) != v5 | T(x,K(z,R(y,u,w))) = v5. [para(9308(a,1),9082(a,1))]. 9311 T(K(x,y) * z,K(x,R(u,w,v5))) = K(x,y) * T(z,K(u,R(x,w,v5))). [para(9309(a,1),8775(a,2,2))]. 9312 ((x \ 1) * y) * K(x,z) = (x \ 1) * (y * K(x,z)). [hyper(219,a,9057,a)]. 9313 L(K(x,y),z,x \ 1) = K(x,y). [hyper(445,a,9312,a)]. 9315 ((x \ 1) * (y * K(x,z))) \ ((x \ 1) * y) = K(z,x). [para(9312(a,1),5037(a,1,1))]. 9316 L(K(x \ 1,y),z,x) = K(x \ 1,y). [hyper(228,a,3452,a(flip),b,9313,a(flip)),flip(a)]. 9317 K(L(x,y,x) \ 1,z) = K(x \ 1,z). [hyper(6147,a,9316,a)]. 9318 (x * y) * K(x \ 1,z) = x * (y * K(x \ 1,z)). [para(9316(a,1),100(a,1,2))]. 9319 K(R(x,y,x) \ 1,z) = K(x \ 1,z). [para(4265(a,1),9317(a,1,1,1)),flip(a)]. 9320 R(K(x,y),z,x \ 1) = K((x \ 1) \ 1,y). [hyper(228,a,6122,a(flip),b,9319,a(flip)),flip(a)]. 9321 (K(x \ 1,y) * z) * x = K(x \ 1,y) * (z * x). [para(9319(a,1),6120(a,1,1)),flip(a)]. 9322 R(K(x,y),z,x \ 1) = K(x,y). [hyper(228,a,2857,a(flip),b,9320,a)]. 9323 K(x,R(y,z,x \ 1)) = K(x,y). [hyper(9188,a,9322,a)]. 9324 T(x,R(y,z,x \ 1)) = x * K(x,y). [para(9323(a,1),4705(a,2,2))]. 9325 R(x * K(y,x),z,y \ 1) = R(x,z,y \ 1) * K(y,x). [para(9323(a,1),5822(a,1,2)),flip(a)]. 9326 T(x,R(y,z,x \ 1)) = T(x,y). [hyper(228,a,4705,a,b,9324,a)]. 9327 T(x,T((y * (x \ 1)) / z,z / (x \ 1))) = T(x,(z / (x \ 1)) \ y). [para(720(a,1),9326(a,1,2))]. 9328 L(K(x,y),z,y \ 1) = K(x,y). [hyper(6443,a,9315,a)]. 9329 K(L(x,y,z \ 1),z) = K(x,z). [hyper(9005,a,9328,a)]. 9333 K(((x \ 1) * y) \ (z * (x \ 1)),x) = K(y \ T(z,x \ 1),x). [hyper(228,a,6331,a(flip),b,9328,a(flip)),flip(a)]. 9334 K(((x \ 1) * y) \ z,T(x,y)) = K(((x \ 1) \ z) / y,x). [hyper(8158,a,9329,a)]. 9335 R(x,y,K(x \ 1,z)) = x. [hyper(476,a,9318,a)]. 9336 R(T(x,y),z,K(x \ 1,u)) = T(x,y). [para(9335(a,1),42(a,2,1))]. 9339 T(x,y * K(x \ 1,z)) = T(x,y). [hyper(228,a,6401,a(flip),b,9336,a(flip))]. 9341 K(x,y * K(x \ 1,z)) = x \ T(x,y). [hyper(71,a,9339,a(flip),b,4705,a(flip)),flip(a)]. 9343 T(x,K(x \ 1,y) * z) = T(x,z). [para(7174(a,1),9339(a,1,2))]. 9344 T(x,T(y,x \ 1) \ z) = T(x,y \ z). [para(8191(a,1),9339(a,1,2))]. 9345 T(x,K(1 / x,y) * z) = T(x,z). [para(2853(a,2),9343(a,1,2,1))]. 9346 T(x \ 1,K(x,y) * z) = T(x \ 1,z). [para(2857(a,1),9343(a,1,2,1))]. 9347 T(x,(y / (x \ 1)) \ z) = T(x,((x \ 1) \ y) \ z). [para(5915(a,1),9343(a,1,2)),flip(a)]. 9348 T(x,K(y,1 / x) * z) = T(x,z). [para(5042(a,1),9345(a,1,2)),flip(a)]. 9349 K(K(x,1 / y) * z,y) = y / T(y,z). [para(9348(a,1),4645(a,2,2))]. 9350 K(x,y * K(x \ 1,z)) = K(x,y). [hyper(228,a,4649,a,b,9341,a)]. 9351 K(x,y * K(z,x \ 1)) = K(x,y). [para(5062(a,1),9350(a,1,2)),flip(a)]. 9352 K(x,T(y,x \ 1) \ z) = K(x,y \ z). [para(8191(a,1),9350(a,1,2))]. 9353 K(x \ y,z * K(u,y \ x)) = K(x \ y,z). [para(5558(a,1),9351(a,1,2,2))]. 9354 L(x \ 1,T(K(x,y),z),z) * (K(x,y) * z) = z * (T(K(x,y),z) * T(x \ 1,z)). [para(9346(a,1),854(a,1,2,2)),flip(a)]. 9355 K(K(x,1 / y) * z,y) = K(z,y). [hyper(228,a,4645,a,b,9349,a)]. 9356 K(K(x,y \ 1) * z,y) = K(z,y). [para(3240(a,1),9355(a,1,1,1))]. 9357 K(T(x,1 / y) / z,y) = K(x / z,y). [para(6190(a,1),9355(a,1,1))]. 9358 K(K(x,x \ y) * z,x / y) = K(z,x / y). [para(5141(a,1),9356(a,1,1,1))]. 9359 K(x \ T(y,z \ 1),z) = K(x \ y,z). [para(5848(a,1),9356(a,1,1))]. 9360 K(x * K(y,z \ 1),z) = K(x,z). [para(7326(a,1),9356(a,1,1))]. 9361 K(x / T(y,z \ 1),z) = K(x / y,z). [para(5180(a,1),9360(a,1,1)),flip(a)]. 9362 K(x * K(y,z \ u),u \ z) = K(x,u \ z). [para(5558(a,1),9360(a,1,1,2))]. 9364 L(K(x,y \ (z \ u)),z \ u,z) = K(x,(z * T(y,x \ 1)) \ u). [para(9352(a,1),6300(a,1,1))]. 9365 K(T(x / (1 / (1 / y)),1 / z) / (1 / y),z) = K((x / y) / (y \ 1),z). [para(2949(a,1),9357(a,2,1))]. 9366 K(x \ y,z * (x / y)) = K(x \ y,z * (y \ x)). [para(6040(a,1),9353(a,1,2))]. 9367 K((x / y) \ z,y / x) = K((y \ x) \ z,y / x). [para(5915(a,1),9358(a,1,1)),flip(a)]. 9368 K(x * (y / z),y \ z) = K(x * (z \ y),y \ z). [para(6040(a,1),9362(a,1,1))]. 9369 L(x,y,K(x \ 1,z)) = x. [hyper(445,a,9321,a)]. 9372 L(x \ 1,y,K(x,z)) = x \ 1. [para(2857(a,1),9369(a,1,3))]. 9373 (K(x,y) * (z * x)) \ (K(x,y) * z) = L(x \ 1,x,z). [para(9372(a,1),842(a,1,1)),flip(a)]. 9374 (1 / (x \ y)) * (z / (1 / (x \ y))) = z * K(y \ x,z * (y / x)). [para(9366(a,2),6234(a,2,2))]. 9375 K(((x / y) \ 1) * z,y / x) = K((y \ x) \ z,y / x). [hyper(228,a,5635,a,b,9367,a(flip)),flip(a)]. 9376 ((1 / (x \ y)) \ z) * (1 / (x \ y)) = z * K(z * (y / x),y \ x). [para(9368(a,2),6180(a,2,2))]. 9377 R(x * K(y,x),z,y \ 1) = K(y,x) * R(x,z,y \ 1). [hyper(228,a,2507,a(flip),b,9325,a)]. 9378 x \ R(x * K(y,x),z,y \ 1) = K(y,x) * (x \ R(x,z,y \ 1)). [hyper(71,a,9377,a,b,5167,a)]. 9379 L(L(T(x,y),z,u),K(x,w),y) \ (L(x,z,u) * (y * K(x,w))) = T(y * K(x,w),L(L(T(x,y),z,u),K(x,w),y)). [para(9145(a,1),444(a,1,2))]. 9380 T(T(x * K(y * T(x,z),x),u),w) \ T(T(x,u),w) = K(x,T(T(T(x,z) * y,w),u)). [para(7359(a,1),9148(a,1,1,1,1,2))]. 9381 (x * K(y,T(z,u))) * K(z,w) = x * (K(z,w) * K(y,T(z,u))). [hyper(228,a,8937,a(flip),b,9150,a)]. 9382 T(T(x,y),K(z,x)) * ((T(x,y) * K(z,x)) \ u) = K(x,z) * u. [hyper(228,a,5035,a(flip),b,9160,a)]. 9383 K(x,y) * (z * T(z \ u,x)) = z * T(z \ (K(x,y) * u),x). [para(13(a,1),9163(a,1,2,2,1,2))]. 9384 ((1 / x) * K(y,z)) * K(u,x) = K(y,T(z,x)) / T(x,u). [para(8605(a,1),9204(a,1,1))]. 9385 x \ ((y / z) \ (x * (z \ y))) = z \ (y / T(y / z,x)). [hyper(228,a,9151,a(flip),b,9221,a)]. 9386 K(x,K(y,R(z,u,w) * (z \ y))) != v5 | K(x,K(y,R(z,u,w) \ z)) = v5. [para(9226(a,2),8113(a,1))]. 9387 T(K(x,y),(z \ (u * x)) \ 1) = T(K(x,y),z \ u). [hyper(228,a,7705,a(flip),b,9231,a)]. 9388 T(K(x,y),z \ (u * x)) = T(K(x,y),z \ u). [hyper(8331,a,9387,a)]. 9389 T(K(x,y),z \ (u / x)) = T(K(x,y),z \ u). [para(16(a,1),9388(a,1,2,2)),flip(a)]. 9390 L(K(x,y),z,u) \ L(T(K(x,y),w \ v5),z,u) = K(L(K(x,y),z,u),w \ (v5 / x)). [para(9389(a,1),4706(a,1,2,1))]. 9391 T(K(x,y \ (z * x)),T(y,z)) = T(K(x,y \ (z * x)),y). [hyper(228,a,8823,a(flip),b,9260,a(flip)),flip(a)]. 9392 K(x,T(y \ (z * x),T(y,z))) = T(K(x,y \ (z * x)),y). [hyper(7634,a,9391,a)]. 9393 K(x,T(y \ (z * x),T(y,z))) = K(x,(y / z) \ x). [hyper(228,a,8377,a(flip),b,9392,a)]. 9394 K(x,T(y \ (R(y,z,u) * x),T(y,R(y,z,u)))) = K(x,x * (y \ R(y,z,u))). [hyper(228,a,6415,a(flip),b,9393,a)]. 9395 T(x,(y * (x * z)) \ u) = T(x,(y * z) \ (x \ u)). [hyper(4807,a,9269,a),flip(a)]. 9396 T(x,(y * (z * x)) \ u) = T(x,(y * z) \ (x \ u)). [hyper(228,a,8635,a,b,9395,a(flip)),flip(a)]. 9397 L(T(x,(y * z) \ (x \ u)),w,v5) \ L(x,w,v5) = K((y * (z * x)) \ u,L(x,w,v5)). [para(9396(a,1),4656(a,1,1,1))]. 9398 T(T(x,K(y,x)),z * x) * ((T(x,x * z) * K(y,x)) \ u) = K(x,y) * u. [para(4072(a,1),9382(a,1,1))]. 9399 ((1 / x) * y) * T(((1 / x) * y) \ (K(z,u) * y),z) = K(z,u) * (K(x,z) * y). [para(5368(a,1),9383(a,1,2)),flip(a)]. 9400 R(K(x,T((y / z) \ x,u)),x,z) = K(x,T((y / (x * z)) \ 1,u)). [para(7152(a,2),7156(a,1,1))]. 9401 K(R(T(x,y),x \ z,z \ y),u) = K(((x \ z) * (z \ y)) \ y,u). [para(42(a,2),7199(a,1,1))]. 9402 K(R(x,y,z),u * K(x,w)) = K(R(x,y,z),u). [hyper(228,a,5834,a(flip),b,7262,a)]. 9403 K(R(x,y,z),u * K(w,x)) = K(R(x,y,z),u). [para(5062(a,1),9402(a,1,2)),flip(a)]. 9404 L(K(x,y \ (x \ (z \ u))),z \ u,z) = K(x,(z * y) \ (x \ u)). [hyper(228,a,8663,a(flip),b,7412,a)]. 9405 L(x \ 1,x,K(x,y) * z) = L(x \ 1,x,z). [hyper(228,a,9373,a(flip),b,7420,a(flip))]. 9407 L(x \ 1,x,y * K(x,z)) = L(x \ 1,x,y). [para(7823(a,1),9405(a,1,3))]. 9408 L(x \ 1,T(x,y),z) = L(x \ 1,x,z). [hyper(6518,a,9407,a)]. 9410 T(x * L(x \ 1,x,y),z) = T(x,z) * ((y * T(x,z)) \ y). [para(9408(a,1),2043(a,1,1,2))]. 9411 L(x \ 1,x,y) * L(L(x \ 1,T(x,z),y) \ 1,u,w) = L((x \ 1) * L((x \ 1) \ 1,u,w),T(x,z),y). [para(9408(a,1),2759(a,1,1))]. 9414 K(L(x,y,z),T(u,x \ w)) = K(L(x,y,z),T(u,w)). [hyper(4930,a,7564,a),flip(a)]. 9415 K(L((x \ y) \ y,z,u),w) = K(L(x,z,u),T(w,y)). [hyper(228,a,7222,a,b,9414,a(flip)),flip(a)]. 9416 T(x,L((y \ z) \ z,u,w)) = (v5 * K(L(y,u,w),T(x,z))) \ (v5 * x). [para(9415(a,1),5151(a,1,1,2)),flip(a)]. 9417 (x * y) \ ((T(x,z) * y) * x) = T(x,T(z,y)). [hyper(228,a,6050,a(flip),b,7568,a(flip))]. 9419 (x * y) \ ((T(x,z \ (u * x)) * y) * x) = T(x,T((u \ z) \ x,y)). [para(6309(a,1),9417(a,1,2,1,1))]. 9420 a(x,y * K(x,z),x) = a(x,y,T(x,z)). [hyper(663,a,7677,a),flip(a)]. 9421 a(x,y,T(x,z)) != u | a(x,y,x) = u. [para(9420(a,1),9044(a,1))]. 9422 K(R((x * y) / x,z,u),T(w,y * x)) = K(L(R(y,z,u),x,y),w). [para(44(a,1),7687(a,2,1))]. 9423 K(x,K(y,(z * u) \ ((z * x) * u))) = 1. [para(7854(a,1),7982(a,1,2))]. 9424 R(K(x,T(T(y,z),z * u)),z,u) = (z * u) \ ((z * K(x,y)) * u). [para(7152(a,2),7885(a,1,1))]. 9425 K(x,K(y,T(z \ (x * u),x \ z))) = K(x,K(y,u / (x \ z))). [para(7914(a,1),7029(a,1,2))]. 9426 K(x,K(y,T(z \ (x * u),z))) = K(x,K(y,u / (x \ z))). [hyper(228,a,8831,a(flip),b,9425,a(flip)),flip(a)]. 9427 K(x,K(y,(x * z) / u)) = K(x,K(y,z / (x \ u))). [para(7842(a,1),9426(a,1,2))]. 9428 K(x,K(y,z / (x \ u))) = K(x,K(y,z / u)). [hyper(9249,a,9427,a),flip(a)]. 9429 K(x,K(y,z / (x * u))) = K(x,K(y,z / u)). [para(13(a,1),9428(a,1,2,2,2)),flip(a)]. 9430 R(K(x,y),z,u) \ K(w,R(K(y,x),z,u)) = R(T(K(y,x),w),z,u). [hyper(71,a,8010,a(flip),b,6911,a(flip))]. 9431 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K((x \ 1) \ 1,(z * (y / x)) \ u). [hyper(228,a,2857,a,b,8415,a)]. 9432 L(K(x,(y \ x) \ ((z \ u) * x)),z \ u,z) = K(x,(z * ((((y \ x) / x) * y) * (1 / y))) \ u). [para(1828(a,2),8415(a,2,2,1,2))]. 9433 x / (x / R(K(y,z),u,w)) = (R(K(y,z),u,w) \ x) \ x. [para(8593(a,1),3986(a,1,2))]. 9434 L(K(x,T(y,z)),z,L(y,u,w)) = K(x,T(y,L(y,u,w) * z)). [hyper(228,a,7149,a(flip),b,8669,a)]. 9435 K(x * R(y,z,u),y) * K(y,x) = y \ R(y,x,R(y,z,u)). [hyper(6148,a,8690,a),flip(a)]. 9436 (x * (y * R(x,z,u))) \ ((y * R(x,z,u)) * T(x,y)) = x \ R(x,y,R(x,z,u)). [hyper(228,a,8862,a,b,9435,a(flip)),flip(a)]. 9437 L(K(x,y),z,L(y,u,w)) != v5 | K(x,y) = v5. [para(6437(a,1),8693(a,1))]. 9438 L(K(x,y),z,y) != u | K(x,y) = u. [para(333(a,1),9437(a,1,3))]. 9441 K(x,L(y,z,y)) != u | K(x,y) = u. [para(6315(a,1),9438(a,1))]. 9442 K(x,((y \ z) * u) \ (z * u)) = R(K(x,T(y,z * u)),z,u). [hyper(228,a,8646,a(flip),b,9047,a(flip))]. 9443 L(K(x,T(T(y,z),u * z)),z,u) = K((u * z) / (u * (x \ z)),y). [hyper(228,a,6526,a,b,9060,a)]. 9445 L(T(K(x,T(y,z * u)),u),u,z) = (z * (K(x,y) * u)) / (z * u). [para(7173(a,1),9060(a,1,1))]. 9446 K(x,y) * K(L(x,z,u) * y,x) = L(x,y,L(x,z,u)) \ x. [para(8526(a,1),9176(a,1,2))]. 9447 K(L(x,y,z) * u,x) * K(x,u) = L(x,u,L(x,y,z)) \ x. [hyper(1759,a,9446,a)]. 9448 K(x,(y * T(z,x \ 1)) \ u) = K(x,(y * z) \ u). [hyper(6781,a,9364,a),flip(a)]. 9449 K(x,((x \ 1) * y) \ z) = K(x,(y * (x \ 1)) \ z). [para(113(a,1),9448(a,1,2,1)),flip(a)]. 9450 K(x,(y * (((x \ 1) * z) / (x \ 1))) \ u) = K(x,(y * z) \ u). [para(165(a,1),9448(a,1,2,1,2)),flip(a)]. 9451 K(x,((x \ 1) * y) \ (x \ z)) = K(x,y \ z). [hyper(228,a,8662,a(flip),b,9449,a)]. 9452 K(x,L(y,x \ 1,x) \ z) = K(x,y \ z). [hyper(228,a,7410,a(flip),b,9451,a(flip)),flip(a)]. 9453 K(x,T((y / (x * z)) \ 1,u)) = K(x,T((y / z) \ x,u)). [hyper(4142,a,9400,a),flip(a)]. 9455 K(x,T((y / z) \ x,y)) = K(x,y \ (x * z)). [hyper(228,a,8211,a(flip),b,9453,a(flip))]. 9456 K(x,T((y / z) \ x,y)) = K(x,y \ (z * x)). [hyper(228,a,8412,a,b,9455,a)]. 9457 K(x,y \ (x * (z \ y))) = K(x,T(z \ x,y)). [para(61(a,1),9455(a,1,2,1,1)),flip(a)]. 9458 K(x,y \ ((z \ y) * x)) = K(x,T(z \ x,y)). [para(61(a,1),9456(a,1,2,1,1)),flip(a)]. 9459 K(x,(y / x) \ (z \ y)) = K(x,T(z \ x,y)). [hyper(8344,a,9457,a)]. 9460 K(x,T(((y \ z) \ 1) \ x,y)) = K(x,T((y \ z) * x,z)). [hyper(228,a,8241,a,b,9458,a(flip))]. 9461 K(x,T(y \ x,x * z)) = K(x,z \ (y \ (x * z))). [hyper(228,a,8416,a(flip),b,9458,a(flip))]. 9462 K(x \ y,T(z \ (x \ y),y)) = K(x \ y,x \ (z \ y)). [para(61(a,1),9459(a,1,2,1)),flip(a)]. 9463 K(x,y \ (z \ (x * y))) = K(x,T(z \ x,y)). [hyper(9115,a,9461,a),flip(a)]. 9464 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(6445(a,1),9463(a,1,2))]. 9465 K(x,T((y \ z) * x,z)) = K(x,T((y \ z) * x,y)). [hyper(228,a,6563,a(flip),b,9460,a(flip))]. 9466 K(x / y,z \ (y \ x)) = K(y \ x,y \ (z \ x)). [hyper(7963,a,9462,a)]. 9467 K(x \ y,(z * x) \ y) = K(x \ y,x \ (z \ y)). [hyper(228,a,8498,a(flip),b,9466,a(flip)),flip(a)]. 9468 K(((x \ y) / z) \ y,(x * ((x \ y) / z)) \ y) = K(((x \ y) / z) \ y,z). [para(64(a,1),9467(a,2,2))]. 9469 K(R(T(x,y / (((x \ y) \ 1) \ 1)),x \ y,y \ (y / (((x \ y) \ 1) \ 1))),z) = K(((y \ (y / (x \ y))) * (x \ y)) \ (y / (((x \ y) \ 1) \ 1)),z). [para(2870(a,1),9401(a,2,1,1))]. 9470 K(R(x,y,z),T(T(u,x * w),w)) = K(L(R(x,y,z),w,x),u). [hyper(8157,a,9422,a)]. 9471 K(R(x,y,z),T(T(u,w),x * w)) = K(L(R(x,y,z),w,x),u). [para(38(a,1),9470(a,1,2))]. 9472 K(R(x,y,z),T(T(u,w),w)) = K(L(R(x,y,z),w,x),u). [hyper(228,a,8751,a(flip),b,9471,a(flip)),flip(a)]. 9473 K(L(R(x,y,z),u,x),w) = K(R(x,y,z),w). [hyper(7908,a,9472,a),flip(a)]. 9475 K(R(L(x,y,x),z,u),w) = K(R(x,z,u),w). [para(44(a,2),9473(a,1,1))]. 9476 K(R(x,x \ a(x,y,x),z),u) = K(L(x,y,x),u). [hyper(228,a,9013,a(flip),b,9475,a(flip))]. 9477 K(R(x,x \ a(x,y,x),z),u) = K(x,u). [hyper(228,a,7016,a(flip),b,9476,a)]. 9480 (K(x,y) * a(x,z,x)) * u = K(x,y) * (a(x,z,x) * u). [para(9477(a,1),6735(a,1,1)),flip(a)]. 9481 K(x,x * y) * (a(x,y,x) * z) = K(x,y) * z. [para(8890(a,1),9480(a,1,1)),flip(a)]. 9482 K(x * y,x) * (K(x,y) * z) = a(x,y,x) * z. [hyper(5071,a,9481,a)]. 9483 K(x,y) * (a(x,y,x) \ z) = K(x,x * y) * z. [hyper(302,a,9481,a),flip(a)]. 9484 K(x,x * y) * z != K(x,y) * u | a(x,y,x) * u = z. [para(9481(a,1),19(a,1)),flip(a)]. 9485 K(x * y,y) * (K(y,x) * z) = a(y,x,y) * z. [para(5647(a,2),9482(a,1,1))]. 9486 K(x,y) * (K(y,y * x) * z) = a(y,x,y) \ z. [hyper(5071,a,9483,a)]. 9487 K(x,x * y) * z != K(x,y) * (a(x,y,x) \ u) | z = u. [para(9483(a,2),19(a,2))]. 9488 K(x * y,y) * (x * (K(y,x) * z)) = a(y,x,y) * (x * z). [para(5164(a,1),9485(a,1,2))]. 9489 K(x,y) * (K(y,x * y) * z) = a(y,x,y) \ z. [para(5433(a,2),9486(a,1,2,1))]. 9490 R(K(T(T(x,y),y * z),u),y,z) = ((y * z) \ ((y * K(u,x)) * z)) \ 1. [para(9424(a,1),6913(a,1,1)),flip(a)]. 9491 L(T(K(x \ y,T(x,z)),z),z,y) = (y * (K(x \ y,x) * z)) / (y * z). [para(9119(a,1),9445(a,1,1,1))]. 9492 T(x,((y \ 1) \ z) \ ((u \ 1) \ 1)) = T(x,T((y / (1 / z)) \ u,1)). [para(118(a,1),7267(a,1,2))]. 9493 T(x * K(y,x),K(x,z) * u) = T(x,u) * K(y,T(x,u)). [para(7288(a,1),7298(a,1,2,2)),flip(a)]. 9494 T(x * K(y,x),K(x,z) * u) = T(x * K(y,x),u). [hyper(228,a,5396,a(flip),b,9493,a)]. 9496 T(x * K((K(x,y) * z) * R(x,u,w),x),z) = R(x,K(x,y) * z,R(x,u,w)). [hyper(228,a,5398,a(flip),b,9494,a(flip))]. 9497 K(x * K(L(y,z,u),w),L(y,v5,v6)) = K(x,L(y,v5,v6)). [hyper(228,a,4656,a(flip),b,7395,a)]. 9498 K(K(L(x,y,z),u) * w,L(x,v5,v6)) = K(w,L(x,v5,v6)). [para(7174(a,1),9497(a,1,1))]. 9499 K(K(x,y) * z,L(x,u,w)) = K(z,L(x,u,w)). [para(333(a,1),9498(a,1,1,1,1))]. 9500 K(x \ T(y,z),L(z,u,w)) = K(x \ y,L(z,u,w)). [para(5479(a,1),9499(a,1,1)),flip(a)]. 9501 K(x \ (y / z),L(z,u,w)) = K(x \ (z \ y),L(z,u,w)). [para(115(a,1),9500(a,1,1,2)),flip(a)]. 9502 R(x,y,T(x * K(z,x),u)) = R(x,y,x * K(z,x)). [para(4674(a,1),7443(a,1,1)),flip(a)]. 9503 R(x,y,x * K(z,x)) = R(x,y,x). [para(4674(a,1),9502(a,1,3)),flip(a)]. 9504 R(x \ y,z,y / x) = R(x \ y,z,x \ y). [para(4717(a,1),9503(a,1,3))]. 9505 T(x * K(y,z),z / (z / y)) = ((z * y) / z) \ (x * y). [para(6602(a,1),7450(a,1,1))]. 9506 L(K(x,T(y,z)),u,L(y,w,v5)) = K(x,T(y,z)). [hyper(445,a,7473,a)]. 9507 K(x,T(y,L(y,z,u) * w)) = K(x,T(y,w)). [hyper(228,a,9434,a(flip),b,9506,a(flip)),flip(a)]. 9508 L(K(x,T(y,z)),u,y) = K(x,T(y,z)). [para(333(a,1),9506(a,1,3))]. 9509 K((x \ y) \ z,T(x,u)) = K(y \ (x * z),T(x,u)). [hyper(228,a,6328,a(flip),b,9508,a(flip))]. 9511 K(x,T(y,L(y,z,u) \ w)) = K(x,T(y,w)). [para(14(a,1),9507(a,1,2,2)),flip(a)]. 9512 K(x,T(y,z * (u * y))) = K(x,T(y,z * u)). [para(7394(a,1),9507(a,1,2))]. 9513 K(x,T(y \ z,u * z)) = K(x,T(y \ z,u * y)). [para(14(a,1),9512(a,1,2,2,2))]. 9514 K(x,T(y,z * (y * u))) = K(x,T(y,z * u)). [para(7075(a,1),9512(a,1,2))]. 9516 K(x * y,T(x,z * y)) != u | K(x * y,T(x,z)) = u. [para(9514(a,1),7653(a,1))]. 9517 K(x \ (y * z),T(y,z)) = K(z / (y \ x),y). [hyper(7963,a,9509,a),flip(a)]. 9518 K(x \ (y * z),T(y,z)) != u | K(z / (y \ x),y) = u. [para(9509(a,1),7963(a,1))]. 9519 K((x * y) / z,x) = K(y / (x \ z),x). [hyper(8167,a,9517,a)]. 9520 K(x / (y \ z),y) != u | K((y * x) / z,y) = u. [para(9517(a,1),8167(a,1))]. 9521 K(x / (y \ T(z,y \ 1)),y) = K((y * x) / z,y). [hyper(228,a,9361,a(flip),b,9519,a(flip))]. 9522 K(x,T(y \ x,z * y)) = K(x,T(y \ x,z)). [hyper(7653,a,9513,a),flip(a)]. 9523 K(x,T(y \ x,z / y)) = K(x,T(y \ x,z)). [para(16(a,1),9522(a,1,2,2)),flip(a)]. 9524 K(x,T(y \ x,y \ z)) = K(x,T(y \ x,z)). [hyper(228,a,8238,a(flip),b,9523,a(flip)),flip(a)]. 9525 K(x,(y / (y / z)) \ x) = K(x,T(z \ x,y)). [hyper(228,a,9091,a(flip),b,9524,a(flip)),flip(a)]. 9526 K(x,T(y \ x,x * z)) = K(x,((x * z) / y) / z). [hyper(228,a,8372,a(flip),b,9525,a(flip))]. 9527 K(x,((x * y) / z) / y) = K(x,T(z \ x,y)). [hyper(9115,a,9526,a),flip(a)]. 9528 K(x,R(x,y,z) \ ((x * R(T(x,u),y,z)) / w)) = K(x,T(w \ x,R(T(x,u),y,z))). [hyper(228,a,8713,a(flip),b,9527,a(flip)),flip(a)]. 9529 K(T(x,y) * z,T(x,u * z)) != w | K(x * z,T(x,u)) = w. [para(7529(a,2),9516(a,1))]. 9530 K((x * y) / z,x) != u | K(y / (x \ z),x) = u. [para(7878(a,1),9518(a,1))]. 9531 K(x / (y \ T(z,y \ 1)),y) != u | K(x / (y \ z),y) = u. [para(9521(a,2),9530(a,1))]. 9532 K(x \ y,T(z,(x \ y) \ T(y,x))) = K(y / x,z). [hyper(228,a,8258,a(flip),b,7559,a)]. 9533 K(x \ y,T(z,T(y,x))) = K(y / x,z). [hyper(7638,a,9532,a)]. 9536 K(a(x,y,z),T((((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u),x * (y * z))) = K(a(x,y,z),(((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u)). [para(4635(a,1),7594(a,1,2)),flip(a)]. 9537 K(x,(T(y,z) / u) / (y / u)) * (y / u) = T(y,K(x,z)) / u. [para(7775(a,1),7752(a,1,1))]. 9538 R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = ((T(y,K(x,z)) / u) * u) / y. [para(9537(a,1),111(a,1,1,1)),flip(a)]. 9539 x * (T(y,K(z,u)) / w) != y / w | K((T(y,u) / w) / (y / w),z) = x. [para(9537(a,1),5045(a,1,2))]. 9540 K(x,K(y,z)) * (z / u) = T(z,K(x,y)) / u. [para(9200(a,1),9537(a,1,1))]. 9541 K(x,K(y,z)) * (T(z,K(x,y)) / u) = z / u. [hyper(7767,a,9540,a)]. 9542 T(x,K(y,z)) / (u \ x) = K(y,K(z,x)) * u. [para(61(a,1),9540(a,1,2)),flip(a)]. 9544 K(x,K(y,z)) * (T(x,K(z,y)) / u) = x / u. [para(7692(a,1),9541(a,1,1))]. 9545 T(x,K(y,z)) / (u \ x) = K(x,K(y,z)) * u. [para(7728(a,1),9542(a,2,1))]. 9546 (K(x,K(y,z)) * u) \ T(x,K(y,z)) = u \ x. [para(9545(a,1),64(a,1,1))]. 9547 L(x \ y,x,K(y,K(z,u))) = x \ y. [hyper(4791,a,9546,a)]. 9548 a(K(x,K(y,z)),u,u \ x) = 1. [hyper(34,a,9547,a)]. 9549 a(K(x * y,K(z,u)),x,y) = 1. [para(13(a,1),9548(a,1,3))]. 9550 a(K(K(x,y),z),u,u \ z) = 1. [para(5972(a,2),9548(a,1,1))]. 9551 a(K(x,K(y,z * u)),z,u) = 1. [para(7692(a,1),9549(a,1,1))]. 9552 a(K(K(x,y),z),u,u \ z) = K(w,K(v5,v6)) * K(w,K(v5,v6)). [hyper(228,a,7761,a,b,9550,a)]. 9553 T(x,T((y \ z) / z,T(y,u))) = T(x,(((y \ 1) \ 1) \ z) / z). [hyper(228,a,7930,a(flip),b,7943,a(flip)),flip(a)]. 9554 T(x,T((y \ z) / z,T(y,u))) = T(x,((y \ 1) \ 1) \ 1). [hyper(228,a,4106,a(flip),b,9553,a)]. 9556 T(x,T((y \ z) / z,T(y,u))) = T(x,y \ 1). [hyper(228,a,4342,a(flip),b,9554,a)]. 9557 x * (K(y,y \ z) * K(u,T(y,z))) = (x / T(z / (z / y),u)) * y. [hyper(228,a,9381,a(flip),b,7948,a(flip)),flip(a)]. 9558 K(x,K(y \ (z * u),z * u)) = K(x,K(z * u,(z \ y) \ u)). [hyper(8180,a,8112,a)]. 9559 K(x,K(y * z,(y \ u) \ z)) = K(x,K(u,y * z)). [hyper(8071,a,9558,a),flip(a)]. 9560 K(x,K(y * z,z \ (y \ u))) = K(x,K(u,y * z)). [hyper(8113,a,9559,a)]. 9561 K(x,K((y * z) * u,u \ ((y * z) \ (y * (z * u))))) = K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))). [para(5436(a,2),9560(a,2,2))]. 9562 T(x / y,T((y * z) \ x,y)) != u | T(x / y,T(z \ (y \ x),y)) = u. [para(8197(a,1),7334(a,1))]. 9563 K(x,K(y,z)) * ((K(x,y) * z) \ u) = (z * K(x,y)) \ u. [para(5987(a,1),8246(a,2,1))]. 9564 K(x,y \ K(y,z)) \ K(z,K(x,y \ 1)) = K(y \ 1,x). [hyper(228,a,7168,a(flip),b,8276,a)]. 9566 K(x,y \ K(y,z)) * K(y \ 1,x) = K(z,K(x,y \ 1)). [para(9564(a,1),14(a,1,2))]. 9567 K(x,y \ K(y,z)) * K(y \ 1,x) = K(x,K(z,y \ 1)). [hyper(228,a,7723,a,b,9566,a)]. 9568 K(x \ 1,y) * K(y,x \ K(x,z)) = K(y,K(z,x \ 1)). [hyper(1759,a,9567,a)]. 9569 K(x,K(y,z \ 1)) \ (K(z \ 1,x) * (z \ K(z,y))) = T(z \ K(z,y),x). [para(9568(a,1),5151(a,1,1))]. 9570 K(x,(y * (z / y)) / ((z / y) * x)) = K(x,z / ((y \ z) * x)). [hyper(228,a,8388,a(flip),b,8389,a)]. 9571 K(x,R(x \ y,x,z / y)) = K(x,z / ((y \ z) * x)). [hyper(228,a,8392,a,b,9570,a(flip)),flip(a)]. 9572 K(x,R(x \ (y / z),x,y / (y / z))) = K(x,y / (z * x)). [para(64(a,1),9571(a,2,2,2,1))]. 9574 K(x,T(y,T((x * z) \ u,z))) = K(x,y) * K(x,K(y,u / (x * z))). [para(7728(a,1),8496(a,2,2))]. 9575 (x \ R(x,y,z)) * T(K(u,x),w) = T(x,T(u,w)) \ R(x,y,z). [hyper(228,a,7490,a(flip),b,8589,a)]. 9576 K(x * y,y) * K(x,K(y,z)) = T(y,T(x,z)) \ R(y,x,y). [hyper(228,a,8591,a(flip),b,9575,a(flip)),flip(a)]. 9577 T(x,T(y,z)) \ R(x,y,x) = K(y * x,T(x,z)). [hyper(8343,a,9576,a),flip(a)]. 9578 K(x,T(y,z)) * a(y,x,y) = K(x * y,T(y,z)). [hyper(228,a,8885,a(flip),b,9577,a(flip)),flip(a)]. 9579 K(x / y,z) * a(z,y \ x,z) = K((y \ x) * z,T(z,y)). [para(7837(a,1),9578(a,1,1))]. 9580 K(x * y,T(y,z)) \ (K(x,T(y,z)) * y) = L(y,x,y). [para(9578(a,1),9015(a,1,1))]. 9581 K(x * y,T(y,z)) \ (y * K(x,T(y,z))) = L(y,x,y). [para(6222(a,1),9580(a,1,2))]. 9582 T(x,T(y * x,z)) * K(y,T(x,z)) = L(x,y,x). [hyper(7242,a,9581,a)]. 9583 T(x,T(x * y,z)) * K(y,T(x,z)) = L(x,y,x). [para(4484(a,1),9582(a,1,1))]. 9584 K(x,T(y,z)) * T(y,T(y * x,z)) = L(y,x,y). [hyper(228,a,6223,a(flip),b,9583,a(flip)),flip(a)]. 9585 T(T(x,x * y) * R(x \ (x * y),z,u),x) = T(x * R(y,z,u),x * y). [hyper(228,a,3966,a(flip),b,8606,a)]. 9586 K((x * (y / z)) \ u,z) != w | K((x * (z \ y)) \ u,z) = w. [para(8609(a,1),5174(a,1))]. 9587 K(x \ ((y * z) * K(y,u)),T(y,w)) = K(x \ (z * T(y,u)),T(y,w)). [para(7001(a,2),8657(a,1,1,2))]. 9588 (x * K(y,z)) * R(K(z,u),w,v5) = x * (R(K(z,u),w,v5) * K(y,z)). [para(1766(a,2),8849(a,2,2))]. 9589 (x * K(y,z)) * (K(z,y) * R(K(y,u),w,v5)) = x * R(K(y,u),w,v5). [para(5062(a,1),8849(a,1,1)),flip(a)]. 9590 (x * L(K(y,z),u,w)) * K(z,v5) = x * (K(z,v5) * L(K(y,z),u,w)). [para(1761(a,1),8851(a,2,2))]. 9591 L(a(x,y,x),K(x,x * y),z) = K(x,y) * K(x * y,x). [hyper(228,a,8927,a(flip),b,8906,a)]. 9593 L(a(x,y,x),K(x,x * y),z) = a(x,y,x). [hyper(228,a,8877,a(flip),b,9591,a)]. 9594 (x / (K(y,y * z) * a(y,z,y))) * K(y,y * z) = x / a(y,z,y). [para(9593(a,1),316(a,1,2)),flip(a)]. 9596 R(T(x / y,K(y,x)),z,x / y) != u * (x / y) | a(x / y,z,x / y) = u. [para(8915(a,2),20(a,1))]. 9597 (x * K(y,z)) * (K(z,y) * L(K(u,z),w,v5)) = x * L(K(u,z),w,v5). [para(5062(a,1),8935(a,1,1)),flip(a)]. 9598 (K(x,K(y,z)) * T(y,K(u,w))) \ y = K(u,K(w,y)) * K(x,K(y,z)). [para(7728(a,1),8963(a,1,1,1))]. 9599 K(T(x,y) / y,z) = K(x / T(y,x),z). [hyper(8983,a,8984,a),flip(a)]. 9600 T(x / T(y,x),z) * T(y,T(x,z)) = x * K(T(x,y) / y,z). [para(7663(a,1),8984(a,1,2))]. 9601 K(T(x * K(y,x),z) / z,u) = K(((y * x) / y) / T(z,(y * x) / y),u). [para(5399(a,1),9599(a,1,1,1))]. 9602 (x * K((y \ 1) \ (z \ x),z)) * y = (z \ (x * y)) * z. [hyper(4613,a,9258,a),flip(a)]. 9603 (x * K(y * (z \ x),z)) * y = (z \ (x * y)) * z. [para(5637(a,1),9602(a,1,1,2))]. 9604 (x * K((y \ z) \ x,z)) * y = (z \ (x * y)) * z. [para(8285(a,1),9602(a,1,1,2))]. 9605 (x \ (y * z)) * K(x * (y \ (x \ (y * z))),y) = x \ (z * y). [hyper(18,a,4612,a(flip),b,9603,a)]. 9606 K(x,y \ (z * x)) != u | K(x,y \ (x * z)) = u. [para(9605(a,1),8302(a,1,2))]. 9607 K(x,(x \ y) \ z) != u | K(x,y \ (x * z)) = u. [para(8414(a,2),9606(a,1))]. 9608 x \ R(x * K(y,x),y,y \ 1) = K(y,x) * a(x,y,y \ 1). [para(670(a,1),9378(a,2,2))]. 9609 K(x,y) * a(y,x,x \ 1) = y \ ((x * y) * (x \ 1)). [para(4835(a,1),9608(a,1,2)),flip(a)]. 9610 K(x,(x \ ((y * x) * (y \ 1))) \ z) = K(x,a(x,y,y \ 1) \ z). [para(9609(a,1),8617(a,1,2,1))]. 9611 K(x,((y * x) * (y \ 1)) \ (x * z)) = K(x,a(x,y,y \ 1) \ z). [hyper(9607,a,9610,a)]. 9612 T(x,L((y \ z) \ z,u,w)) = T(x,T(L(y,u,w),z)). [hyper(228,a,7233,a(flip),b,9416,a)]. 9613 T(x,L((y \ z) \ z,u,w)) = T(x,L(T(y,z),u,w)). [para(40(a,2),9612(a,2,2))]. 9614 T(x,L(T(y,z * y),u,w)) = T(x,L(T(y,z),u,w)). [para(3959(a,2),9613(a,1,2,1)),flip(a)]. 9615 T(x,T((y \ z) \ x,u)) = T(x,T(z \ (y * x),u)). [hyper(228,a,9417,a(flip),b,9419,a(flip))]. 9616 T(x,T((y / (1 / z)) \ u,1)) = T(x,((y \ 1) \ z) \ u). [hyper(228,a,4346,a(flip),b,9492,a(flip))]. 9617 T(x,(y / (1 / z)) \ u) = T(x,((y \ 1) \ z) \ u). [para(143(a,1),9616(a,1,2))]. 9618 T(x,((1 \ 1) \ y) \ ((z \ 1) * u)) = T(x,y \ ((u \ z) \ 1)). [hyper(228,a,6816,a(flip),b,9617,a(flip))]. 9619 T(x,y \ ((z \ u) \ 1)) = T(x,y \ ((u \ 1) * z)). [para(126(a,1),9618(a,1,2,1)),flip(a)]. 9620 (x / T(y / (y / z),u)) * z = x * (T(y / (y / z),u) \ z). [para(7947(a,1),9557(a,1,2)),flip(a)]. 9621 (x / T(1 / (1 / y),z)) * y = x * (y * (1 / T(y,z))). [para(6713(a,1),9620(a,2,2))]. 9622 K(x,T(y,T((x * z) \ u,z))) = K(x,T(y,u / (x * z))). [hyper(228,a,7706,a(flip),b,9574,a)]. 9624 K(x,T(y,T((x * z) \ u,z))) = K(x,y) * K(x,K(y,u / z)). [para(9429(a,1),9574(a,2,2))]. 9625 K(x,T(y,T((x * z) \ u,z))) = K(x,T(y,u / z)). [hyper(228,a,7706,a(flip),b,9624,a)]. 9626 K(x,T(y,z / (x * u))) = K(x,T(y,z / u)). [hyper(228,a,9622,a(flip),b,9625,a(flip)),flip(a)]. 9627 K(x,T(y,z / (x \ u))) = K(x,T(y,z / u)). [para(14(a,1),9626(a,1,2,2,2)),flip(a)]. 9628 T(x,T(y,z / (x \ u))) = x * K(x,T(y,z / u)). [para(9627(a,1),4705(a,2,2))]. 9629 T(x,T(y,z / (x \ u))) = T(x,T(y,z / u)). [hyper(228,a,4705,a,b,9628,a)]. 9630 T(x,T((y * (x \ 1)) / z,z / 1)) = T(x,(z / (x \ 1)) \ y). [hyper(228,a,9327,a(flip),b,9629,a(flip))]. 9631 T(x,T((y * (x \ 1)) / z,z)) = T(x,(z / (x \ 1)) \ y). [para(59(a,1),9630(a,1,2,2))]. 9632 T(x,(y / (x \ 1)) \ z) = T(x,y \ (z * (x \ 1))). [para(115(a,1),9631(a,1,2)),flip(a)]. 9633 K(x \ (y * T(z,u)),T(z,w)) = K(x \ (z * y),T(z,w)). [hyper(228,a,8575,a(flip),b,9587,a(flip))]. 9634 K(x \ (y * z),T(y,z)) = K((z * T(y,u)) / x,y). [hyper(8174,a,9633,a),flip(a)]. 9636 K((x * T(y,z)) / u,y) != w | K(x / (y \ u),y) = w. [para(9634(a,1),9518(a,1))]. 9637 x / (K(y,z) * R(K(z,u),w,v5)) = (x * R(K(u,z),w,v5)) * K(z,y). [hyper(72,a,6920,a(flip),b,9589,a)]. 9638 (x * (K(y,z) * L(K(u,y),w,v5))) * K(z,y) = x * L(K(u,y),w,v5). [hyper(5064,a,9590,a)]. 9639 T(T(x,K(y,z)),K(y,u)) \ x = K(y,K(u,x)) * K(y,K(x,z)). [para(8780(a,1),9598(a,1,1))]. 9640 T(T(x,K(y,z)),K(y,u)) \ x = K(x,K(y,u)) * K(y,K(x,z)). [para(7728(a,1),9639(a,2,1))]. 9641 T(T(x,K(y,z)),K(y,u)) \ x = K(x,K(y,u)) * K(x,K(y,z)). [para(7723(a,1),9640(a,2,2))]. 9642 K(x,y) * T(y,K(z,y) * (x * y)) = L(y,K(z,y) * x,y). [para(7308(a,1),7455(a,1,1))]. 9643 L(x,K(y,x) * z,x) = K(z,x) * T(x,z * x). [para(7295(a,1),9642(a,1,2)),flip(a)]. 9645 L(x,K(y,x) * z,x) = L(x,z,x). [hyper(228,a,4981,a(flip),b,9643,a)]. 9647 L(x,T(x,y) \ z,x) = L(x,x \ z,x). [para(5004(a,1),9645(a,1,2))]. 9648 L(x,y / T(x,z),x) = L(x,x \ y,x). [hyper(228,a,9053,a,b,9647,a(flip)),flip(a)]. 9650 T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)) = L(z,z \ x,z). [hyper(228,a,6983,a,b,9648,a(flip)),flip(a)]. 9653 K(R(x \ R(x,y,z),x,y * z),u) = K(a(x,y,z),T(u,x * (y * z))). [para(3520(a,2),7900(a,1,1))]. 9654 K(x,a(y,z,u)) * K(x,K(a(y,z,u),y * (z * u))) = K(x,((y * z) * u) / (y * (z * u))). [hyper(228,a,7706,a,b,7909,a),flip(a)]. 9655 K(x,T(y / (x \ z),u)) = K(x,T((z / y) \ x,u)). [hyper(8369,a,8292,a)]. 9656 x * K(x,T((y / z) \ x,u)) = T(x,T(z / (x \ y),u)). [para(9655(a,1),4705(a,2,2)),flip(a)]. 9657 T(x,T(y / (x \ z),u)) != w | T(x,T((z / y) \ x,u)) = w. [para(9656(a,1),4708(a,1))]. 9658 K((x / y) \ z,L(y,u,w)) = K(x \ (z * y),L(y,u,w)). [hyper(4925,a,8399,a),flip(a)]. 9660 K(L(x,y,z),u \ (w * x)) != v5 | K(L(x,y,z),u \ (x * w)) = v5. [para(8401(a,1),4930(a,1))]. 9661 K(x \ ((y \ z) * y),L(y,u,w)) = K(x \ z,L(y,u,w)). [hyper(228,a,4656,a(flip),b,8405,a)]. 9662 K(x \ (y * z),L(z,u,w)) = K(x \ (z * y),L(z,u,w)). [para(13(a,1),9661(a,1,1,2,1))]. 9663 (x * y) / (x * (y * K(z,u))) = L(T(K(u,z),x * y),y,x). [para(8326(a,1),8474(a,1,1)),flip(a)]. 9664 (x * y) / (x * (y * K(z,u))) = L(K(u,T(z,x * y)),y,x). [para(7152(a,2),9663(a,2,1))]. 9666 L(K(x,T(x * y,z * y)),y,z) = (z * y) / (z * (x \ T(x * y,x))). [para(5292(a,2),9664(a,1,2,2)),flip(a)]. 9667 L(K(x,T(T(y,z),u * z)),z,u) = (u * z) / (u * (K(y,x) * z)). [para(7205(a,1),9664(a,1,2,2)),flip(a)]. 9668 K((x * y) / (x * (z \ y)),u) = (x * y) / (x * (K(u,z) * y)). [hyper(228,a,9443,a(flip),b,9667,a(flip)),flip(a)]. 9669 K(x,(y * (z / (x \ 1))) \ u) = K(x,(y * z) \ (x \ u)). [hyper(228,a,9404,a(flip),b,8666,a(flip))]. 9670 K(x,(y * ((x \ 1) * z)) \ (x \ u)) = K(x,(y * z) \ u). [hyper(228,a,9450,a(flip),b,9669,a(flip))]. 9671 K(x,(y * ((x \ 1) * z)) \ T(u,x)) = K(x,(y * z) \ (u * x)). [para(32(a,2),9670(a,1,2,2))]. 9672 K(x,(y * ((x \ 1) * z)) \ u) = K(x,(y * z) \ (u * x)). [hyper(8303,a,9671,a)]. 9673 a(x,y * K(z,u),K(u,z)) = L(K(z,u),y,x) * K(u,z). [hyper(228,a,5084,a(flip),b,8864,a(flip)),flip(a)]. 9674 a(x,y * K(z,u),K(u,z)) = K(u,z) * L(K(z,u),y,x). [hyper(228,a,1765,a(flip),b,9673,a)]. 9675 K(x,y) * L(K(y,x),z * K(x,y),u) = a(u,z,K(x,y)). [para(5062(a,1),9674(a,1,2)),flip(a)]. 9676 K(x,y) * L(K(y,x),z,u) = a(u,z,K(x,y)). [para(6474(a,1),9675(a,1,2))]. 9677 T(x,a(y,z,K(x,u))) = x. [para(9675(a,1),7293(a,1,2))]. 9678 K(x,y) * a(z,u,K(y,w)) = a(z,u,K(y,w)) * K(x,y). [para(9677(a,1),7174(a,1,2,2)),flip(a)]. 9680 a(x,y,K(z,u)) * L(K(z,u),y,x) = K(z,u). [hyper(6435,a,9676,a)]. 9681 K(x,y) * a(z,u,K(y,x)) = L(K(x,y),u,z). [hyper(5071,a,9676,a)]. 9682 L(K(x,y),z,u) * K(y,x) = a(u,z,K(y,x)). [hyper(1767,a,9676,a)]. 9683 L(K(x,y),z,u) \ K(x,y) = a(u,z,K(x,y)). [hyper(228,a,6447,a,b,9676,a(flip)),flip(a)]. 9685 T(x,y) * L(K(y,x),z,u) = x * a(u,z,K(x,y)). [para(9676(a,1),4675(a,1,2)),flip(a)]. 9686 K(x \ 1,y) * K(y,L(x,z,u) \ 1) = a(u,z,K(x \ 1,y)). [para(6097(a,1),9676(a,1,2))]. 9687 K(x,y) * K(L(y,z,u),x) = a(u,z * y,K(x,y)). [para(6341(a,1),9676(a,1,2))]. 9688 (x / a(y,z,K(u,w))) * K(u,w) = x * L(K(u,w),z,y). [para(9676(a,1),6512(a,1,1,2))]. 9689 (x * K(y,z)) * a(u,w,K(z,y)) = x * L(K(y,z),w,u). [para(9676(a,1),9597(a,1,2))]. 9690 (x * a(y,z,K(u,w))) * K(w,u) = x * L(K(w,u),z,y). [para(9676(a,1),9638(a,1,1,2))]. 9691 K(x,y) * L(K(y,x),z,u) != w | a(u,z,K(x,y)) = w. [para(9681(a,1),5046(a,1,2)),flip(b)]. 9692 L(K(x,y),z,u) * a(u,z,K(x,y)) = K(x,y). [hyper(6448,a,9682,a)]. 9693 (x * y) \ ((x * (y * K(z,u))) * K(u,z)) = a(x,y,K(u,z)). [hyper(228,a,8864,a,b,9682,a(flip)),flip(a)]. 9694 K(x,L(y,z,u)) * K(y,x) = a(u,z * y,K(y,x)). [para(6315(a,1),9682(a,1,1))]. 9695 x * a(y,z,K(u,w)) != K(u,w) | L(K(u,w),z,y) = x. [para(9683(a,1),84(a,1,2)),flip(b)]. 9696 K(a(x,y,z),u) * a(x * y,z,K(L(z,y,x) \ z,u)) = K(L(z,y,x) \ z,u). [para(6335(a,1),9692(a,1,1))]. 9697 (x / (x / y)) * K(L(y,z,u),y \ x) = y * a(u,z * y,K(y \ x,y)). [para(9687(a,1),5700(a,2,2))]. 9698 L(K(x,y),z,u) * K(y,x) != w | a(u,z,K(y,x)) = w. [para(1761(a,2),9691(a,1))]. 9699 K(x,y) * K(y,L(x,z,u)) != w | a(u,z * x,K(x,y)) = w. [para(6315(a,1),9691(a,1,2))]. 9700 K(x,y) * K(L(y,z,u),x) != w | a(u,z * y,K(x,y)) = w. [para(6341(a,1),9691(a,1,2))]. 9702 (x * K(y,z)) * u != x * L(K(y,z),w,v5) | a(v5,w,K(z,y)) = u. [para(9689(a,1),19(a,1)),flip(a)]. 9703 (x * T(y,z)) * L(K(z,y),u,w) = (x * y) * a(w,u,K(y,z)). [para(5207(a,1),9689(a,1,1)),flip(a)]. 9704 x / a(y,z,K(u,w)) = x * a(y,z,K(w,u)). [hyper(18,a,9688,a,b,9690,a),flip(a)]. 9705 (x * a(y,z,K(u,w))) \ x = a(y,z,K(w,u)). [hyper(537,a,9704,a)]. 9706 T(x * y,z) * a(x,y,K(z,x * y)) = x * (y * K(x * y,z)). [hyper(228,a,4763,a(flip),b,9704,a(flip))]. 9707 (x * a(y,z,K(u,w))) \ x != v5 | a(y,z,K(w,u)) = v5. [para(9704(a,1),283(a,1,1)),flip(b)]. 9708 x / a(y,z,K(u,w)) != v5 | x * a(y,z,K(w,u)) = v5. [para(9705(a,1),293(a,1,2)),flip(b)]. 9709 (T(x,x \ y) * a(z,u,K(w,v5))) \ ((x \ y) \ y) != v6 | a(z,u,K(v5,w)) = v6. [para(245(a,2),9707(a,1,1))]. 9710 ((x / y) * (y * K(z,x))) \ ((z * x) / z) = ((x / y) * y) \ (((x / y) * (y * K(x,z))) * K(z,x)). [hyper(228,a,4839,a,b,9693,a),flip(a)]. 9711 L(K(x,y),z,u) * K(y,L(L(x \ 1,z,u),w,v5) \ 1) = a(v5,w,K(L(x \ 1,z,u) \ 1,y)). [para(6132(a,1),9686(a,1,1))]. 9712 x * (T(y,z) * L(K(z,y),u,w)) = (x * y) * a(w,u,K(y,z)). [hyper(228,a,7346,a(flip),b,9703,a(flip)),flip(a)]. 9713 (x * y) * a(z,u,K(y,w)) = x * (y * a(z,u,K(y,w))). [para(9685(a,1),9712(a,1,2)),flip(a)]. 9714 a(x,y,a(z,u,K(y,w))) = 1. [hyper(70,a,9713,a(flip),b,89,a),flip(a)]. 9715 a(x,T(y,z),a(u,w,K(y,v5))) = 1. [para(7829(a,1),9714(a,1,3,3))]. 9717 K((x * (y * z)) \ ((x * z) * y),K(z,u)) = K(z,K(u,a(x,z,T(y,z)))). [hyper(228,a,7724,a(flip),b,9067,a)]. 9718 R(K(x,T(T(y,z),z * u)),z,u) = ((z * u) \ ((z * K(y,x)) * u)) \ 1. [para(7491(a,1),9490(a,1,1))]. 9719 (x * (K(y \ x,y) * z)) / (x * z) = L(K(y \ x,y),z,x). [para(7819(a,1),9491(a,1,1)),flip(a)]. 9720 L(K(x \ y,x),z,y) * (y * z) = y * (K(x \ y,x) * z). [para(9719(a,1),16(a,1,1))]. 9722 L(K(x,y),z,y * x) * ((y * x) * z) = (y * x) * (K(y \ (y * x),y) * z). [para(13(a,1),9720(a,1,1,1,1))]. 9723 K((T(x,y) / z) / (x / z),u) = K(x,K(y,u)). [hyper(9539,a,9544,a)]. 9724 K(x \ R(x,y,z),R(x,x \ R(x,y,z),y * z)) = K(a(x,y,z),T(x,x * (y * z))). [hyper(9142,a,9653,a)]. 9725 K(R(K(x,y) \ R(K(x,y),z,u),K(x,y),z * u),((z * u) \ K(y,x)) \ 1) = K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1). [para(5053(a,1),9653(a,2,2))]. 9726 K(x,K(y,R(z \ R(z,u,w),z,u * w) \ 1)) = K(x,K(a(z,u,w),T(y,z * (u * w)))). [para(9653(a,1),8073(a,2,2))]. 9727 (x * y) / (x * (z \ T(z * y,z))) = L(K(z,T(y * z,x)),y,x). [para(9132(a,1),9666(a,1,1)),flip(a)]. 9728 K(x,K(y,(z * (u * x)) \ ((z * x) * u))) = K(x,K(y,a(z,x,T(u,x)))). [hyper(7760,a,9717,a)]. 9729 ((x * y) \ ((x * K(z,u)) * y)) \ 1 = (x * y) \ ((x * K(u,z)) * y). [hyper(228,a,9424,a(flip),b,9718,a(flip))]. 9730 K(((x / y) * z) \ (x * z),u) \ 1 = (x * z) \ ((x * K(u,y)) * z). [para(6717(a,2),9729(a,1,1))]. 9731 (x * y) \ ((x * K(z,u)) * y) != w | K(z,((x / u) * y) \ (x * y)) = w. [para(9730(a,1),4887(a,1))]. 9732 K(x / y,T(z,u)) \ T(x / (K(y \ x,z) \ x),u) = K(K(x / y,z) \ x,T(K(x / y,z),u)). [para(7879(a,1),7189(a,1,2,1,2))]. 9733 K(x \ y,x) * L(T(x,x \ y),z,u) = y \ ((L(x,z,u) * (x \ y)) * x). [para(1244(a,1),7365(a,1,2)),flip(a)]. 9734 L(x * R(K(x,y),z,u),w,x) = L(x,w,x) * R(K(x,y),z,u). [para(6907(a,1),7539(a,1,2)),flip(a)]. 9735 L(x * R(K(x,y),z,u),w,x) = R(K(x,y),z,u) * L(x,w,x). [hyper(228,a,3175,a,b,9734,a)]. 9736 R(x * R(K(y,x),z,u),w,x) = R(x,w,x) * R(K(y,x),z,u). [para(6122(a,1),7682(a,1,1,2))]. 9737 R(x * R(K(y,x),z,u),w,x) \ R(x,w,x) = R(K(x,y),z,u). [para(9736(a,2),6912(a,1,1))]. 9738 K(x / y,z) * K(K(y \ x,z) * x,x) = K(T(x / (x / y),x) \ x,z). [hyper(228,a,6410,a,b,8030,a)]. 9739 K(x,K((1 / y) / z,(z * y) / u)) = (T(z * y,K(x,u)) / y) / z. [hyper(8105,a,8110,a)]. 9740 K(x,K((1 / y) / z,(z * y) / u)) = K(x,K(u,(1 / y) / z)). [hyper(228,a,8104,a(flip),b,9739,a)]. 9741 K(x,K((1 / (y \ z)) / u,R(u / y,y,y \ z))) = K(x,K(z,(1 / (y \ z)) / u)). [para(496(a,2),9740(a,1,2,2))]. 9742 K(x,(y * (z / x)) \ u) != w | K(x,(y * (x \ z)) \ u) = w. [para(8415(a,1),8419(a,1))]. 9743 R(K(x,T(y,z)),u,w) * (z * K(y,x)) = z * (R(K(x,y),u,w) * K(y,x)). [hyper(228,a,9588,a(flip),b,8476,a)]. 9744 K((x * (y * z)) \ (x * ((z * u) * y)),y) = K(L(u,y * z,x),y). [hyper(228,a,7121,a(flip),b,8645,a)]. 9746 K((x * y) \ (z \ (x * ((y * u) * z))),z) = K(L(u,z * y,x),z). [hyper(228,a,9267,a(flip),b,9744,a(flip)),flip(a)]. 9747 (K(x,y) * T(z,u)) / K(x,T(y,z)) = (z * (K(x,y) * K(z,u))) * K(y,x). [para(7152(a,2),8824(a,1,2))]. 9748 x \ (K(y,z) * (K(u,y) * x)) = T(K(u,y),x) * T(K(y,z),x). [para(7609(a,1),8865(a,1,2)),flip(a)]. 9750 (x * y) \ (y * T(T(z * x,z) / z,y)) = L(a(z,T(x,y),z),T(x,y),y). [para(1452(a,1),8900(a,1,2,2))]. 9751 K(T(x,y),((T(x,y) \ 1) * y) \ z) = K(x,z / ((x \ 1) * T(y,x))). [para(3921(a,1),9170(a,1,1))]. 9752 K(T(x,y),((T(x,y) \ 1) * y) \ z) = K(x,z / ((x \ 1) * y)). [hyper(228,a,8812,a(flip),b,9751,a)]. 9753 T(T(K(x,y) * z,K(y,u)),K(y,u)) = K(y,u) * (K(x,y) * (K(y,u) \ z)). [para(8768(a,2),9223(a,1,1))]. 9754 K((x * ((y * z) \ y)) \ ((1 / ((y * z) \ y)) \ u),1 / ((y * z) \ y)) = K(x \ u,z). [para(13(a,1),9270(a,2,2))]. 9755 K((x / y) / (y \ 1),1 / y) = K((y \ x) / (y \ 1),1 / y). [para(3099(a,1),9365(a,1,1)),flip(a)]. 9756 K((x / y) / (y \ 1),1 / y) = K((y \ x) / (1 / y),1 / y). [hyper(228,a,5346,a,b,9755,a)]. 9757 K((x / y) / (1 / y),1 / y) = K((y \ x) / (1 / y),1 / y). [hyper(228,a,5346,a,b,9756,a(flip)),flip(a)]. 9758 (x / y) / ((x / y) / (1 / y)) = (1 / y) * K((y \ x) / (1 / y),1 / y). [para(9757(a,1),4829(a,2,2))]. 9759 T(x,y * x) * ((T(x,x * y) * K(z,x)) \ u) = K(x,z) * u. [para(2499(a,1),9398(a,1,1,1))]. 9760 T(x,y * x) * (L(x,y,x) \ z) = K(x,y) * z. [para(5301(a,1),9759(a,1,2,1))]. 9761 T(x,x * y) * (L(x,y,x) \ z) = K(x,y) * z. [para(4066(a,1),9760(a,1,1))]. 9762 K(x,x * y) * (z * a(x,y,x)) = K(x,y) * z. [hyper(228,a,9022,a,b,9761,a(flip)),flip(a)]. 9763 (a(x,y,x) \ z) * a(x,y,x) = z. [hyper(9487,a,9762,a)]. 9764 a(x,y,x) * z = z * a(x,y,x). [hyper(9484,a,9762,a)]. 9765 K(x,y) * (z * L(x,y,x)) = K(x,x * y) * (z * x). [para(9017(a,1),9762(a,1,2)),flip(a)]. 9766 T(x,a(y,z,y)) = x. [hyper(7605,a,9763,a)]. 9767 T(a(x,y,x),z) = a(x,y,x). [hyper(5922,a,9763,a)]. 9768 x / a(y,z,y) = a(y,z,y) \ x. [hyper(85,a,9763,a)]. 9769 L(a(x,y,x) * z,u,w) = L(z * a(x,y,x),u,w). [hyper(228,a,4580,a(flip),b,9763,a(flip))]. 9770 x / a(y,z,y) != u | a(y,z,y) \ x = u. [para(9763(a,1),295(a,1,1)),flip(b)]. 9771 (x * a(y,z,y)) / x = a(y,z,y). [hyper(4200,a,9766,a)]. 9772 K(x,a(y,z,y)) = 1. [hyper(36,a,9766,a)]. 9773 a(x,y,x) * z != z * u | a(x,y,x) = u. [para(9766(a,1),173(a,1,2)),flip(b)]. 9774 a(x,y,x) * z != u | z * a(x,y,x) = u. [para(9766(a,1),219(a,1,2))]. 9775 x * K(y,a(z,u,z)) = x. [para(9772(a,2),12(a,1,2))]. 9776 x * a(y,z,y) != u | a(y,z,y) * x = u. [para(9775(a,1),204(a,1)),flip(a)]. 9777 R(a(x,y,x),z,u) * w = w * R(a(x,y,x),z,u). [para(9775(a,1),4749(a,1,1,1))]. 9778 (x * (y * a(z,u,z))) / (x * y) = L(a(z,u,z),y,x). [para(9775(a,1),4842(a,1,1)),flip(a)]. 9779 T(a(x,y,x),z) = x \ R(x,y,x). [hyper(228,a,8875,a,b,9767,a)]. 9781 a(x,R(y,z,u),x) * R(y,z,u) = R(y * a(x,y,x),z,u). [hyper(228,a,9292,a(flip),b,9764,a)]. 9782 (x * a(y,z,y)) \ (a(y,z,y) * (u * x)) = R(T(u,x * a(y,z,y)),x,a(y,z,y)). [hyper(71,a,9764,a,b,594,a)]. 9783 L(x \ (a(y,z,y) \ u),x,a(y,z,y)) = (x * a(y,z,y)) \ u. [para(9764(a,1),222(a,2,1))]. 9784 (a(x,y,x) * z) \ ((z * u) * a(x,y,x)) != w | L(u,z,a(x,y,x)) = w. [para(9764(a,1),456(a,1,2))]. 9785 (x * y) \ ((x * a(z,u,z)) * y) = R(T(a(z,u,z),x * y),x,y). [para(9764(a,1),595(a,1,2,1))]. 9786 (x * a(y,z,y)) \ (a(y,z,y) * (u * x)) != w | L(T(u,x),x,a(y,z,y)) = w. [para(9764(a,1),721(a,1,1))]. 9787 (a(x,y,x) * z) \ (z * (u * a(x,y,x))) != w | L(T(u,a(x,y,x)),a(x,y,x),z) = w. [para(9764(a,2),721(a,1,1))]. 9788 (x / (K(y,y * z) * a(y,z,y))) * K(y,y * z) = a(y,z,y) \ x. [hyper(228,a,9594,a,b,9768,a(flip)),flip(a)]. 9789 (x / y) \ (a(y,z,y) \ x) = L(y,z,y). [para(9768(a,1),9027(a,1,2))]. 9790 a(x,y,x) \ T(z * a(x,y,x),u) = z * K(z * a(x,y,x),u). [para(9771(a,1),6262(a,1,1))]. 9791 T(a(x / y,z,x / y),u) = (x / y) \ R(x / y,z,y \ x). [para(7051(a,1),9779(a,2,2))]. 9794 L(x * a(y,z,y),K(u,a(y,z,y) * x),w) = a(y,z,y) * x. [hyper(228,a,6618,a(flip),b,9769,a(flip))]. 9795 T(x,R(a(y,z,y),u,w)) = x. [hyper(174,a,9777,a)]. 9796 (a(x,y,x) * z) \ u = (z * a(x,y,x)) \ u. [hyper(228,a,222,a(flip),b,9783,a(flip)),flip(a)]. 9797 T(x,a(y,z,y) * u) != w | T(x,u * a(y,z,y)) = w. [para(9794(a,1),7081(a,1,2))]. 9798 (x * y) \ ((x * a(z,u,z)) * y) = R(a(z,u,z),x,y). [para(9767(a,1),9785(a,2,1))]. 9799 (x * y) \ ((T(z * x,z) / z) * y) = R(a(z,x,z),x,y). [para(8883(a,2),9798(a,1,2,1))]. 9801 a(x,y,x) \ T(z * a(x,y,x),u) != z * w | K(z * a(x,y,x),u) = w. [para(9790(a,2),19(a,1))]. 9802 (x / K(y,z)) * K(y,y * z) = a(y,z,y) \ x. [para(8890(a,1),9788(a,1,1,2))]. 9803 (x * K(y,z)) * K(z,z * y) = a(z,y,z) \ x. [para(5063(a,1),9802(a,1,1))]. 9804 (x / R(y,z,y)) * y = a(y,z,y) \ x. [hyper(228,a,6652,a(flip),b,9803,a(flip)),flip(a)]. 9805 (x / R(y,z,y)) * y = x / a(y,z,y). [hyper(228,a,9768,a,b,9804,a)]. 9806 (a(x,y,x) * (z * x)) / R(x,y,x) = z. [hyper(18,a,13,a(flip),b,9804,a)]. 9807 (x * a(y,z,y)) / R(y,z,y) = x / y. [hyper(72,a,15,a(flip),b,9805,a),flip(a)]. 9808 x * (y \ L(y,z,y)) = x / a(y,z,y). [hyper(228,a,8945,a(flip),b,9805,a(flip)),flip(a)]. 9809 a(x,y,x) * (z * x) = z * R(x,y,x). [para(9806(a,1),16(a,1,1)),flip(a)]. 9810 (x * R(y,z,y)) / (x * y) = a(y,z,y). [para(9806(a,1),67(a,1,1,1))]. 9811 (x / y) * R(y,z,y) = x * a(y,z,y). [para(9807(a,1),16(a,1,1))]. 9812 x * (y \ L(y,z,y)) != u | a(y,z,y) \ x = u. [para(9808(a,2),9770(a,1))]. 9813 (x * y) * a(y,z,y) = x * R(y,z,y). [hyper(9774,a,9809,a)]. 9814 (x * R(x \ y,z,x \ y)) / y = a(x \ y,z,x \ y). [hyper(72,a,9809,a(flip),b,86,a(flip))]. 9815 (x * y) \ (x * R(y,z,y)) = a(y,z,y). [hyper(71,a,9809,a(flip),b,9764,a(flip))]. 9816 (x * R(y,z,y)) / (x * y) != u | a(y,z,y) = u. [para(9809(a,1),295(a,1,1)),flip(b)]. 9818 a(x,y,x) * (z * x) != u | z * R(x,y,x) = u. [para(9810(a,1),215(a,1,1)),flip(b)]. 9819 ((x * y) * R(L(z,y,x),u,L(z,y,x))) / (x * (y * z)) = a(L(z,y,x),u,L(z,y,x)). [para(100(a,1),9810(a,1,2))]. 9821 R(x,y,x) * (x \ z) = z * a(x,y,x). [hyper(228,a,7124,a,b,9811,a(flip)),flip(a)]. 9822 (x / y) * ((y \ z) \ T(z,y)) = x * a(y,y \ z,y). [para(4044(a,1),9811(a,1,2))]. 9823 K(x,y) * ((z / y) * R(y,u,y)) = y * (L(T(y,x),u,y) \ z). [para(9811(a,2),9030(a,1,2))]. 9824 (x * (y * R(z,u,z))) / (x * (y * z)) = L(a(z,u,z),y * z,x). [para(9813(a,1),9778(a,1,1,2))]. 9825 (x * y) * a(x,z,x) = R(x,z,x) * y. [para(13(a,1),9821(a,1,2)),flip(a)]. 9826 x * (y * a(x,z,x)) = R(x,z,x) * y. [para(9821(a,1),1223(a,1,2))]. 9827 a(x,y,x) * (x * z) = R(x,y,x) * z. [hyper(9776,a,9825,a)]. 9828 (x * y) \ (R(x,z,x) * y) != u | a(x,z,x) = u. [para(9825(a,1),284(a,1,2)),flip(b)]. 9829 (x * y) \ (R(x,z,x) * y) = L(a(x,z,x),y,x). [hyper(71,a,9826,a(flip),b,100,a)]. 9831 L(T(x,a(y,z,y)),a(y,z,y),y) = R(y,z,y) \ (R(y,z,y) * x). [para(9826(a,1),8889(a,1,2)),flip(a)]. 9832 x * (a(x,y,x) * z) = R(x,y,x) * z. [para(9764(a,2),9826(a,1,2))]. 9833 ((R(x,y,x) * z) * u) / ((x * z) * u) != w | R(a(x,y,x),x * z,u) = w. [para(9827(a,1),489(a,1,1,1))]. 9834 a(x,y,x) * (R(x,y,x) \ z) = x \ z. [hyper(71,a,14,a(flip),b,9832,a),flip(a)]. 9836 L(a(x,y,x),z,x) = a(x,y,x). [hyper(9828,a,9829,a),flip(a)]. 9837 L(a(x,y,x),z,x) = (u * x) \ (u * R(x,y,x)). [hyper(228,a,9815,a,b,9836,a)]. 9838 L(a(x \ y,z,x \ y),u,x \ y) = y \ (x * R(x \ y,z,x \ y)). [hyper(228,a,292,a(flip),b,9837,a)]. 9839 L(T(x,a(y,z,y)),a(y,z,y),y) = x. [hyper(228,a,13,a(flip),b,9831,a)]. 9841 L(x,a(y,z,y),y) = x. [para(9766(a,1),9839(a,1,1))]. 9843 L(a((x \ y) \ y,z,(x \ y) \ y),u,(x \ y) \ y) = y \ (R(x,z,(x \ y) \ y) * (x \ y)). [para(601(a,1),9838(a,2,2))]. 9845 K(x,K(y,z \ 1)) \ (K(z \ 1,y) * (z \ K(z,x))) = T(z \ K(z,x),y). [para(7723(a,1),9569(a,1,1))]. 9846 T(T(x,x * y) * R(y,z,u),x) = T(x * R(y,z,u),x * y). [para(13(a,1),9585(a,1,1,2,1))]. 9847 K(T(x * K(y,x),z) / z,u) = K(((y * x) / y) / T(z,T(x,y)),u). [para(7929(a,1),9601(a,2,1,2))]. 9848 x / T(x / y,T(L(y,z,u),y)) = y * a(u,z * y,K(y \ x,y)). [hyper(7338,a,9697,a)]. 9849 x / T(x / y,L(y,z,u)) = y * a(u,z * y,K(y \ x,y)). [para(130(a,1),9848(a,1,2,2))]. 9850 T(K(x \ y,x) * L(x,z,u),x \ y) = y \ ((L(x,z,u) * (x \ y)) * x). [hyper(228,a,7577,a,b,9733,a(flip)),flip(a)]. 9851 K(x / y,z) * K(K(y \ x,z) * x,x) = K(x / T(y,x),z). [para(4191(a,1),9738(a,2,1))]. 9852 K(x / y,z) * K(x * K(y \ x,z),x) = K(x / T(y,x),z). [para(5647(a,1),9851(a,1,2))]. 9853 T(x * K(x / y,z),x) = x * K(x / T(y,x),z). [para(9852(a,1),8436(a,1,2)),flip(a)]. 9854 T(x * K(x / y,z),x) = x * K(T(x,y) / y,z). [para(3937(a,2),9853(a,2,2,1))]. 9855 (x * (K(y,z) * K(x,u))) * K(z,y) = (K(y,z) * T(x,u)) * K(z,T(y,x)). [hyper(7237,a,9747,a),flip(a)]. 9856 L(a(x,T(y,z),x),T(y,z),z) = (y * z) \ ((T(x * y,x) / x) * z). [para(113(a,1),9750(a,1,2)),flip(a)]. 9857 L(a(x,T(y,z),x),T(y,z),z) = R(a(x,y,x),y,z). [hyper(228,a,9799,a(flip),b,9856,a)]. 9858 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(4674(a,1),9857(a,1,1,2)),flip(a)]. 9859 K(x,y) * (K(z,x) * (K(x,y) \ u)) = K(z,x) * u. [hyper(7795,a,9753,a)]. 9861 K(x,y) * (K(z,x) * u) = K(z,x) * (K(x,y) * u). [para(13(a,1),9859(a,1,2,2))]. 9862 K(x,y) * (K(z,x) * (K(y,x) * u)) = K(z,x) * u. [para(5035(a,1),9859(a,1,2,2))]. 9863 K(x,y) * (K(y,z) * (K(y,x) * u)) = K(y,z) * u. [para(5042(a,1),9861(a,1,2)),flip(a)]. 9864 K(L(x,y / x,z),u) * (K(u,w) * v5) = K(u,w) * (L(K(x,u),y,z) * v5). [para(6339(a,1),9861(a,1,2,1)),flip(a)]. 9865 K(x,y) * (K(z,y) * u) = K(z,y) * (K(x,y) * u). [hyper(5071,a,9862,a)]. 9866 K(x,y) * (K(x,z) * u) = K(x,z) * (K(x,y) * u). [hyper(5071,a,9863,a)]. 9867 (((K(x,y) * (K(z,y) * u)) / (K(z,y) * u)) * K(z,y)) * u = K(z,y) * (R(K(x,y),K(z,y),u) * u). [para(9865(a,1),1585(a,1,1,1,1))]. 9868 K(x,K(y,z)) * (K(z,u) * w) = K(z,u) * (K(z,K(x,y)) * w). [para(7728(a,2),9866(a,1,1))]. 9869 K(x,K(y,z)) * (K(z,u) * w) = K(z,u) * (K(x,K(y,z)) * w). [para(7728(a,2),9868(a,2,2,1))]. 9870 K(x,y) * (K(z,K(u,x)) * (K(x,y) \ w)) = K(z,K(u,x)) * w. [hyper(302,a,9869,a),flip(a)]. 9871 K(x,y) * (K(z,K(x,u)) * (K(x,y) \ w)) = K(u,K(z,x)) * w. [para(7728(a,2),9870(a,1,2,1))]. 9872 (x / y) / ((x / y) / (1 / y)) = (1 / y) * K((y \ x) * y,1 / y). [para(5644(a,1),9758(a,2,2))]. 9873 (x / y) / ((x / y) / (1 / y)) = (1 / y) * K(x,1 / y). [para(6181(a,1),9872(a,2,2))]. 9874 (x / y) / ((x / y) / (1 / y)) = K(x,1 / y) / y. [hyper(228,a,2188,a(flip),b,9873,a)]. 9875 x / ((y / (x \ y)) / (1 / (x \ y))) = K(y,1 / (x \ y)) / (x \ y). [para(61(a,1),9874(a,1,1))]. 9876 K(x,1 / (y \ x)) / (y \ x) = y / (y / (1 / (y \ x))). [para(61(a,1),9875(a,1,2,1)),flip(a)]. 9877 K(x,y / x) / (y \ x) = y / (y / (1 / (y \ x))). [para(5171(a,1),9876(a,1,1))]. 9878 T((x / (1 / (x \ y))) / x,K(y,x / y) / (x \ y)) = (((x / (1 / (x \ y))) / x) \ 1) \ 1. [para(9877(a,2),1909(a,1,2))]. 9879 K(x,K(y,z \ 1)) \ (K(z,x) * T(z \ 1,y)) = T(z \ K(z,x),y). [para(6144(a,1),9845(a,1,2))]. 9880 K(x,K(y,z \ 1)) * (K(z,x) * T(z \ 1,y)) = T(z \ K(z,x),y). [hyper(7768,a,9879,a)]. 9881 K(x,K(y,z)) * (K(z,x) * T(z \ 1,y)) = T(z \ K(z,x),y). [para(8077(a,1),9880(a,1,1))]. 9882 K(x,T(y,z)) * T(x \ 1,z) = T(x \ K(x,y),z). [hyper(228,a,8430,a(flip),b,9881,a(flip)),flip(a)]. 9883 (x / y) \ (L(y,z,u) * (y \ x)) = x \ ((L(y,z,u) * (y \ x)) * y). [hyper(7578,a,9850,a)]. 9884 (x * (K(y,z) * K(x,u))) * K(z,y) = K(y,z) * (T(x,u) * K(z,T(y,x))). [hyper(228,a,7434,a(flip),b,9855,a)]. 9885 L(K(x,y),z,u) * (K(y,w) * v5) = K(y,w) * (L(K(x,y),z,u) * v5). [para(6339(a,1),9864(a,1,1))]. 9886 (x * (K(y,z) * K(x,u))) * K(z,y) = K(y,z) * (K(x,u) * (K(z,y) * x)). [para(7183(a,2),9884(a,2,2))]. 9887 K(x,y) * (K(z,u) * (K(y,x) * z)) = T(z,T(u,K(x,y))). [hyper(8038,a,9886,a),flip(a)]. 9888 K(x,y) * (K(K(x,y) * z,u) * z) = T(K(x,y) * z,T(u,K(x,y))). [para(5042(a,1),9887(a,1,2,2))]. 9889 K(x,y) * (z * K(z * K(x,y),u)) = T(K(x,y) * z,T(u,K(x,y))). [para(7893(a,1),9888(a,1,2))]. 9890 K((x \ y) \ z,L(x,u,w)) = K(y \ (x * z),L(x,u,w)). [hyper(228,a,5829,a(flip),b,7478,a(flip))]. 9891 T(x * K(y * R(x,z,u),x),y) = R(x,T(y,T(x,w)),R(x,z,u)). [hyper(228,a,7513,a(flip),b,7531,a(flip)),flip(a)]. 9893 R(x,T(y,T(x,z)),R(x,u,w)) = R(x,y,R(x,u,w)). [hyper(228,a,5398,a(flip),b,9891,a(flip))]. 9894 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(7927(a,1),9893(a,1,2))]. 9895 K((x * y) \ z,L(y,u,w)) = K(x \ (y \ z),L(y,u,w)). [hyper(228,a,5829,a(flip),b,7551,a(flip))]. 9896 K(L(x \ y,x,z),L(x,u,w)) = K(z \ (x \ (z * y)),L(x,u,w)). [para(102(a,2),9895(a,1,1))]. 9897 K(x,K(y \ (z \ (u \ w)),L(z,y,u))) = K(x,K(z,(u * (y * z)) \ w)). [para(9895(a,1),8601(a,1,2))]. 9898 K(L(x,y,z),u * (K(x,w) * v5)) = K(L(x,y,z),u * v5). [hyper(228,a,5831,a(flip),b,7569,a)]. 9899 K(x * (K(y,z) * u),R(y,w,v5)) = K(x * u,R(y,w,v5)). [hyper(228,a,5832,a(flip),b,7570,a)]. 9900 K(x * y,R(y,z,u)) = K(y * x,R(y,z,u)). [para(4783(a,1),9899(a,1,1)),flip(a)]. 9901 R(x,K(y,z),u * K(z,y)) * u = (x * K(y,z)) * (K(y,z) \ u). [para(7788(a,1),8278(a,1,1,3))]. 9902 R(x,K(y,z),u * K(z,y)) * u = (x * K(y,z)) * (K(z,y) * u). [para(5035(a,1),9901(a,2,2))]. 9903 K(x,K(R(y,z,u),R(z,w,v5) \ z)) = K(x,K(y,(z * u) / (R(z,w,v5) * u))). [hyper(7771,a,8993,a)]. 9904 (x \ T(K(y \ x,z) * x,x)) \ (x * K(x / y,z)) = L(x,K(y \ x,z),x). [para(8034(a,1),9028(a,1,1))]. 9905 K(a(x,y,z),T(x,u)) = K(a(x,y,z),x). [hyper(7631,a,9256,a)]. 9906 K(x,T(R(y,z,u) * (y \ x),T(y,R(y,z,u)))) = K(x,x * (y \ R(y,z,u))). [para(1221(a,1),9394(a,1,2,1))]. 9907 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K((x \ 1) \ 1,(z * (L(y,x \ 1,x) / x)) \ u). [para(9452(a,1),9431(a,1,1))]. 9908 T(x * K(y * R(x,z,u),x),y) = R(x,K(x,w) * y,R(x,z,u)). [para(7388(a,1),9496(a,1,1,2))]. 9909 R(x,K(x,y) * z,R(x,u,w)) = R(x,z,R(x,u,w)). [hyper(228,a,5398,a(flip),b,9908,a(flip))]. 9911 R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = T(y,K(x,z)) / y. [hyper(228,a,225,a(flip),b,9538,a)]. 9912 R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = K(y,K(x,z)). [hyper(228,a,4696,a,b,9911,a)]. 9914 R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = K(x,K(y,z)). [hyper(228,a,7723,a,b,9912,a)]. 9915 R(K(x,K(y,z)),z / u,u) = K(x,K(z,y)). [para(9200(a,1),9914(a,1,1))]. 9916 R(K(x,K(y,z)),y / u,u) = K(x,K(y,z)). [para(7741(a,1),9915(a,1,1))]. 9918 K(x,K(y,R(z,x / u,u))) = K(z,K(x,y)). [hyper(228,a,8988,a(flip),b,9916,a(flip)),flip(a)]. 9919 K(x,K(y,R(z,u,u \ x))) = K(z,K(x,y)). [para(61(a,1),9918(a,1,2,2,2))]. 9920 a(K(K(x,y),z),u,u \ z) = K(w,K(v5,R(v6,v7,v7 \ w))) * K(v6,K(w,v5)). [para(9919(a,1),9552(a,2,2))]. 9921 a(K(K(x,y),z),u,u \ z) = K(w,K(v5,R(v6,v7,v7 \ w))) * K(w,K(v5,v6)). [para(7728(a,2),9920(a,2,2))]. 9922 a(K(x,K(y,z)),u,u \ x) = K(w,K(v5,R(v6,v7,v7 \ w))) * K(w,K(v5,v6)). [para(5972(a,1),9921(a,1,1))]. 9923 L(K(x,y),z,y * x) * ((y * x) * z) = (y * x) * (K(x,y) * z). [para(13(a,1),9722(a,2,2,1,1))]. 9924 ((x * y) * (K(y,x) * z)) / ((x * y) * z) = L(K(y,x),z,x * y). [hyper(85,a,9923,a)]. 9925 ((x * y) * (K(y,x) * z)) / ((x * y) * z) != u | L(K(y,x),z,x * y) = u. [para(9923(a,1),295(a,1,1)),flip(b)]. 9927 ((x * y) * (K(y,x) * z)) / (z * T(x * y,z)) = L(K(y,x),z,x * y). [para(113(a,2),9924(a,1,2))]. 9928 ((K(x,y) * z) * T(y * x,z)) / (z * T(y * x,z)) = L(K(x,y),z,y * x). [para(8975(a,2),9927(a,1,1))]. 9929 K(x,K(y,(z * u) / (R(z,w,v5) * u))) != v6 | K(x,K(R(z,w,v5) \ z,R(y,z,u))) = v6. [para(9903(a,1),7771(a,1))]. 9930 (x \ T(x * K(x / y,z),x)) \ (x * K(x / y,z)) = L(x,K(y \ x,z),x). [para(7821(a,1),9904(a,1,1,2,1))]. 9931 K(x,T(R(y,z,u) * (y \ x),y)) = K(x,x * (y \ R(y,z,u))). [para(602(a,1),9906(a,1,2,2))]. 9932 L(K(x,y),z,y * x) != u | R(K(x,y),z,T(y * x,z)) = u. [para(9928(a,1),489(a,1))]. 9933 L(T(x * K(y,x),y),z,u) / (x * K(y,x)) = (K(x,y) / x) * L(x,z,u). [para(4898(a,1),4750(a,2,1))]. 9934 L(x,y,z) / (x * K(u,x)) = (K(x,u) / x) * L(x,y,z). [para(4674(a,1),9933(a,1,1,1))]. 9935 ((K(x,y) / x) * L(x,z,u)) \ L(x,z,u) = x * K(y,x). [para(9934(a,1),64(a,1,1))]. 9936 ((K(R(x,y,x),z) / R(x,y,x)) * x) \ L(R(x,y,x),y,x) = R(x,y,x) * K(z,R(x,y,x)). [para(4039(a,1),9935(a,1,1,2))]. 9937 L(L(x,y,K(z,u)),K(z,u) * y,K(u,z)) = y \ (y * x). [para(5042(a,1),5078(a,2,2))]. 9938 L(L(x,y,K(z,u)),K(z,u) * y,K(u,z)) != w | w = x. [para(9937(a,2),284(a,1))]. 9940 L(x,y,K(z \ 1,z)) != u | u = x. [para(3423(a,1),9938(a,1))]. 9941 L(x,y,K(z \ u,u \ z)) != w | w = x. [para(3437(a,1),9938(a,1))]. 9942 L(x,y,K(x,z)) != u | u = x. [para(7457(a,1),9938(a,1))]. 9943 R(T(x,y * K(z \ 1,z)),y,K(z \ 1,z)) != u | T(x,y) = u. [para(2713(a,2),9940(a,1)),flip(b)]. 9945 T(x,y * K(z \ 1,z)) != u | T(x,y) = u. [para(4301(a,1),9943(a,1))]. 9949 T(x,((y \ 1) \ 1) \ z) != u | T(x,y \ z) = u. [para(3014(a,1),9945(a,1,2))]. 9954 T(x,R(y \ 1,y,z) \ u) != w | T(x,(z / (y * z)) \ u) = w. [para(3305(a,2),9949(a,1,2,1))]. 9955 (K(x,y) * R(K(x,y) \ 1,z,u)) * w = K(x,y) * (R(K(y,x),z,u) * w). [para(184(a,1),5175(a,1,2)),flip(a)]. 9956 (K(x,y) * R(K(y,x),z,u)) * w = K(x,y) * (R(K(y,x),z,u) * w). [para(4879(a,1),9955(a,1,1,2,1))]. 9957 (K(x,y) * L(K(x,y) \ 1,z,u)) * w = K(x,y) * (L(K(y,x),z,u) * w). [para(183(a,1),5176(a,1,2)),flip(a)]. 9958 (K(x,y) * L(K(y,x),z,u)) * w = K(x,y) * (L(K(y,x),z,u) * w). [para(4879(a,1),9957(a,1,1,2,1))]. 9959 K(x,y) * (L(K(y,x),z,u) * w) = a(u,z,K(x,y)) * w. [para(9676(a,1),9958(a,1,1)),flip(a)]. 9960 K(x,y) * (a(z,u,K(y,x)) * w) = L(K(x,y),u,z) * w. [hyper(5071,a,9959,a)]. 9961 L(K(x,y),z,u) * (K(y,x) * w) = a(u,z,K(y,x)) * w. [hyper(228,a,9885,a,b,9959,a(flip)),flip(a)]. 9962 a(x,y,K(z,u)) * (L(K(z,u),y,x) * w) = K(z,u) * w. [para(6446(a,1),9959(a,1,2)),flip(a)]. 9963 K(x,y) * (L(K(y,x),z,u) * w) != v5 | a(u,z,K(x,y)) * w = v5. [para(9960(a,1),5046(a,1,2)),flip(b)]. 9964 L(K(x,y),z,u) * (K(y,x) * w) = a(u,z,K(x,y)) \ w. [hyper(71,a,5042,a(flip),b,9962,a),flip(a)]. 9965 a(x,y,K(z,u)) \ w = a(x,y,K(u,z)) * w. [hyper(228,a,9961,a(flip),b,9964,a(flip))]. 9966 x / (a(y,z,K(u,w)) * x) = a(y,z,K(w,u)). [hyper(438,a,9965,a)]. 9967 a(x,y,K(z,u)) \ K(w,u) = K(w,u) * a(x,y,K(u,z)). [hyper(228,a,9678,a,b,9965,a)]. 9968 a(x,y,K(z,u)) \ w != v5 * w | a(x,y,K(u,z)) = v5. [para(9965(a,2),20(a,1))]. 9969 x / (a(y,z,K(u,w)) * x) != v5 | a(y,z,K(w,u)) = v5. [para(9965(a,1),293(a,1,2)),flip(b)]. 9970 a(x,y,K(z,u)) \ K(w,u) != K(w,u) * v5 | a(x,y,K(u,z)) = v5. [para(9967(a,2),19(a,1))]. 9972 (x \ (((1 / y) * z) \ 1)) * ((1 / y) * z) = x \ K(z \ ((1 / y) \ 1),y \ z). [para(118(a,1),5556(a,2,2,1))]. 9973 K(1 / x,x) \ (R(1 / L(x,y,z),L(x,y,z),K(1 / x,x)) * ((u * (1 / (1 / L(x,y,z)))) / u)) = K(u,1 / (K(1 / x,x) \ R(1 / L(x,y,z),L(x,y,z),K(1 / x,x)))). [para(6376(a,1),6150(a,1,2,2,1,2))]. 9974 T(K(x * R(1 / y,y,z),y \ 1) / y,x) = R(1 / y,x,z / (y * z)). [para(3250(a,1),6294(a,1,1))]. 9975 T(K(x * R(y \ 1,y,z),y \ 1) / y,x) = R(1 / y,x,z / (y * z)). [para(5528(a,1),9974(a,1,1,1))]. 9976 (T(x * (y \ 1),x) / x) / (y \ 1) = y * (T(x * (y \ 1),x) / x). [para(6162(a,1),6454(a,1,1,1))]. 9977 x * (T(y * (x \ 1),y) / y) = y \ R(y,x \ 1,y). [hyper(228,a,8675,a(flip),b,9976,a(flip))]. 9978 (x \ R(x,y \ 1,x)) / (T(x * (y \ 1),x) / x) = y. [hyper(72,a,8675,a(flip),b,9976,a(flip))]. 9979 x * (T(y * (x \ 1),y) / y) = a(y,x \ 1,y). [hyper(228,a,8875,a(flip),b,9977,a)]. 9982 K(x,y * (((z * K(u,z)) * u) * w)) = K(x,y * ((u * (1 / (1 / z))) * w)). [para(4896(a,1),6777(a,1,2,2,1,1))]. 9983 K(x,y * ((z * (1 / (1 / u))) * w)) = K(x,y * ((z * u) * w)). [para(4715(a,1),9982(a,1,2,2,1)),flip(a)]. 9984 ((x \ y) \ y) \ R((x \ y) \ y,z,u) = x \ (y \ ((R(x,z,u) * (x \ y)) * x)). [hyper(228,a,1046,a(flip),b,6799,a(flip)),flip(a)]. 9985 x * T(K(y,z),u) != w | w * T(K(z,y),u) = x. [para(8863(a,1),6973(a,1)),flip(a)]. 9986 K(L(x,y,z),u \ L(K(x,w),v5,v6)) = K(L(x,y,z),u \ 1). [hyper(228,a,5830,a(flip),b,7647,a)]. 9988 T(T(T(x,y \ x) / y,x),x / z) = K(y \ x,z \ x) * (x / y). [para(8545(a,1),8196(a,1,1)),flip(a)]. 9989 T(T(T(x,y \ x) / y,x),x / z) = T(x / y,T(z \ x,y)). [hyper(228,a,7333,a(flip),b,9988,a)]. 9990 T(x / y,T(z \ x,y)) = T(x / y,x / z). [para(3768(a,1),9989(a,1,1)),flip(a)]. 9991 T(x / y,T(z \ (y \ x),y)) = T(x / y,x / (y * z)). [hyper(9562,a,9990,a)]. 9992 T(T(x,K(y,z \ u)),(z \ u) \ y) = T(x,y / (((z \ 1) \ 1) \ u)). [hyper(228,a,4429,a(flip),b,8554,a(flip)),flip(a)]. 9993 T(x,y / (((z \ 1) \ 1) \ u)) = T(x,y / (z \ u)). [hyper(228,a,8553,a(flip),b,9992,a(flip))]. 9994 (x * T(y,z)) \ (x * R(y,z,L(y,u,w))) = K(z * L(y,u,w),y). [hyper(228,a,7343,a(flip),b,8688,a)]. 9996 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(5008,a,8727,a)]. 9997 T(x * L(K(y,z),u,w),K(z,v5)) = T(x,K(z,v5)) * L(K(y,z),u,w). [para(6132(a,1),8782(a,1,1,2))]. 9998 L(K(x,y),z,u) \ T(w,K(y,v5)) = T(L(K(x,y),z,u) \ w,K(y,v5)). [hyper(4492,a,9997,a)]. 9999 L(K(x,y),z,u) \ T(w,K(y,v5)) = T(L(K(y,x),z,u) * w,K(y,v5)). [para(6445(a,1),9998(a,2,1))]. 10000 T(L(K(x,y),z,u) * w,K(x,v5)) = L(K(x,y),z,u) * T(w,K(x,v5)). [hyper(6449,a,9999,a),flip(a)]. 10001 T(L(K(x,y),z,u) * T(w,L(K(x,y),z,u)),K(x,v5)) = T(w,K(x,v5)) * L(K(x,y),z,u). [hyper(228,a,182,a(flip),b,10000,a)]. 10002 K(x,L(y,z * K(y,u),w)) = K(x,L(y,z,w)). [hyper(228,a,8779,a(flip),b,8853,a)]. 10003 K(x,L(y,K(y,z) * u,w)) = K(x,L(y,u,w)). [para(7174(a,1),10002(a,1,2,2))]. 10004 L(K(x,y),T(y,z) * u,w) = K(x,L(y,u,w)). [hyper(228,a,8952,a,b,10003,a(flip)),flip(a)]. 10006 L(K(x,L(y,x,z)),T(y,u) * w,v5) = K(L(x,y,z),L(y,w,v5)). [para(8841(a,1),10004(a,1,1))]. 10007 K(x,y) * ((y * R(x,z,R(x,u,w))) * x) = (R(x,z,R(x,u,w)) * y) * x. [para(184(a,1),9032(a,2,1))]. 10008 (R(x,y,R(x,z,u)) * w) * x = (x * w) * R(x,y,R(x,z,u)). [hyper(228,a,8978,a(flip),b,10007,a(flip))]. 10009 (x * (y * L(x,z,u))) \ ((x * y) * L(x,z,u)) = x \ R(x,y,L(x,z,u)). [para(1695(a,1),9077(a,1,2))]. 10010 x \ R(x,y,L(x,z,u)) = a(x,y,L(x,z,u)). [hyper(663,a,10009,a),flip(a)]. 10011 K(x * L(y,z,u),y) * K(y,x) = a(y,x,L(y,z,u)). [hyper(9078,a,10010,a)]. 10012 K(x,y) * K(y * L(x,z,u),x) = a(x,y,L(x,z,u)). [hyper(8689,a,10010,a)]. 10013 K(x,y) * K(y,x * L(y,z,u)) = a(y,x,L(y,z,u)) \ 1. [para(10011(a,1),5126(a,1,1)),flip(a)]. 10014 K(L(x,y,z) * u,x) * K(x,u) = a(x,u,L(x,y,z)). [para(7396(a,2),10011(a,1,1))]. 10015 K(x,y) * a(y,x,L(y,z,u)) = K(x * L(y,z,u),y). [hyper(5071,a,10012,a)]. 10016 L(x,y,L(x,z,u)) \ x = a(x,y,L(x,z,u)). [hyper(228,a,9447,a(flip),b,10014,a(flip)),flip(a)]. 10017 (a(x,y,L(x,z,u)) * K(L(x,y,L(x,z,u)),w)) \ (x * K(L(x,y,L(x,z,u)),w)) = T(L(x,y,L(x,z,u)),L(x,y,L(x,z,u)) \ x). [para(10016(a,1),6727(a,1,1,1))]. 10018 K(x * L(y,z,u),y) != K(x,y) * w | a(y,x,L(y,z,u)) = w. [para(10015(a,1),19(a,1))]. 10019 ((1 / x) * T((1 / x) \ K(y,z),y)) * u = K(y,z) * (K(x,y) * u). [hyper(228,a,1416,a(flip),b,9399,a(flip)),flip(a)]. 10020 (K(x,y) * K((1 / z) \ 1,x)) * u = K(x,y) * (K(z,x) * u). [para(7356(a,2),10019(a,1,1))]. 10021 (K(x,y) * K(z,x)) * u = K(x,y) * (K(z,x) * u). [para(64(a,1),10020(a,1,1,2,1))]. 10022 L(x,K(y,z),K(z,u)) = x. [hyper(445,a,10021,a)]. 10023 (K(x,y) * K(z,x)) * u = K(z,x) * (K(x,y) * u). [hyper(228,a,9861,a(flip),b,10021,a)]. 10024 x \ (K(y,z) * (K(u,y) * x)) != w | T(K(y,z) * K(u,y),x) = w. [para(10021(a,1),285(a,1,2))]. 10026 (K(x,y) * K(y,z)) * u = K(y,z) * (K(x,y) * u). [para(1757(a,1),10021(a,1,1))]. 10027 (K(x,y) * z) / (K(y,u) * (K(x,y) * z)) = R(K(u,y),K(x,y),z). [para(10021(a,1),6914(a,1,2))]. 10028 L(T(x / (x / y),y \ x),K(z,u),K(u,w)) = y. [hyper(228,a,3909,a(flip),b,10022,a)]. 10029 (K(x,y) * K(z,x)) \ u = K(x,z) * (K(y,x) * u). [hyper(228,a,6292,a(flip),b,10022,a(flip)),flip(a)]. 10030 L(x,L(K(y,z),u,w),K(z,v5)) = x. [para(6128(a,1),10022(a,1,2))]. 10031 L(x,K(y,T(z,u)),K(z,w)) = x. [para(7202(a,1),10022(a,1,2))]. 10032 L(x,K(y,z),K(u,K(z,w))) = x. [para(7723(a,1),10022(a,1,3))]. 10033 (K(x,y) * K(z,T(x,u))) * w = K(x,y) * (K(z,T(x,u)) * w). [para(10031(a,1),100(a,1,2))]. 10034 (K(x,K(y,z)) * K(u,y)) * w = K(x,K(y,z)) * (K(u,y) * w). [para(10032(a,1),100(a,1,2))]. 10035 (K(x,y) * L(K(z,x),u,w)) * v5 = K(x,y) * (L(K(z,x),u,w) * v5). [para(10030(a,1),100(a,1,2))]. 10036 T(x,R(y / (y / z),u,z)) = T(x,y / (y / z)). [para(10028(a,1),8734(a,1,2,3))]. 10037 (K(x,y) * K(y,z)) * u = K(x,y) * (K(y,z) * u). [para(1757(a,1),10023(a,1,1))]. 10038 K(x,y) * (K(z,x) * K(K(z,x) * K(x,y),u)) = T(K(z,x) * K(x,y),u). [hyper(4708,a,10026,a),flip(a)]. 10039 (K(x,y) * z) / (K(u,y) * z) = K(x,y) * K(y,u). [hyper(72,a,9862,a(flip),b,10026,a)]. 10040 (K(x,y) * K(y,z)) \ u = K(y,x) * (K(z,y) * u). [para(1757(a,1),10029(a,1,1))]. 10041 R(K(x,y),K(y,z),u) = K(x,y). [hyper(4535,a,10037,a)]. 10042 L(x,K(y,z),K(u,y)) = x. [hyper(445,a,10037,a)]. 10043 (K(x,y) * z) / (K(x,u) * z) = K(u,x) * K(x,y). [hyper(72,a,9863,a(flip),b,10037,a)]. 10044 x \ (K(y,z) * (K(z,u) * x)) != w | T(K(y,z) * K(z,u),x) = w. [para(10037(a,1),285(a,1,2))]. 10045 (K(x,y) * (K(y,z) * u)) / (K(x,y) * K(y,z)) != w | u * K(K(x,y) * K(y,z),u) = w. [para(10037(a,1),4745(a,1,1))]. 10046 K(x,y) * (K(y,x * y) * z) = (y \ L(y,x,y)) * z. [para(5777(a,1),10037(a,1,1)),flip(a)]. 10047 R(K(x,y) * R(K(x,y) \ 1,z,u),K(y,w),v5) = K(x,y) * R(R(K(x,y),K(y,w),v5) \ 1,z,u). [para(10041(a,1),2753(a,1,1)),flip(a)]. 10048 (x * K(y,z)) / (K(u,T(z,x)) * x) = K(y,T(z,x)) * K(T(z,x),u). [para(7823(a,1),10039(a,1,1))]. 10049 (K(x,T(y,z)) * K(y,u)) \ w = K(y,T(x,z)) * (K(u,y) * w). [para(7202(a,1),10040(a,1,1,1))]. 10050 x / (K(y \ x,z) * (y * (x / y))) = K(z,y \ x) * K(y \ x,y). [para(4624(a,1),10043(a,1,1))]. 10051 (x \ L(x,y,x)) * z = a(x,y,x) \ z. [hyper(228,a,9489,a(flip),b,10046,a(flip))]. 10052 (x \ L(x,y,x)) \ z = a(x,y,x) * z. [hyper(71,a,13,a(flip),b,10051,a)]. 10053 (x \ L(x,y,x)) \ z = z * a(x,y,x). [hyper(228,a,9764,a(flip),b,10052,a)]. 10054 R(x,T(K(y,z),x),T(K(u,K(z,w)),K(y,z) * x)) \ ((K(u,K(z,w)) * K(y,z)) * x) = T(K(y,z),x) * T(K(u,K(z,w)),K(y,z) * x). [para(10034(a,2),867(a,1,2))]. 10055 T(K(x,y),z) * T(K(y,u),z) != w | T(K(y,u) * K(x,y),z) = w. [para(9748(a,1),10024(a,1))]. 10056 R(K(x,y),K(z,y),u) = K(x,y). [hyper(5047,a,10027,a),flip(a)]. 10058 (K(x,y) * L(K(x,z) \ 1,u,w)) * v5 = K(x,y) * (L(K(z,x),u,w) * v5). [para(4879(a,2),10035(a,1,1,2,1))]. 10059 (x * K(y,z)) / (x * K(u,z)) = K(y,T(z,x)) * K(T(z,x),u). [para(7823(a,1),10048(a,1,2))]. 10060 (x * K(y,z)) / (x * K(u,z)) = K(y,T(z,x)) * K(z,T(u,x)). [hyper(8310,a,10059,a(flip)),flip(a)]. 10061 x / (K(((y \ 1) * x) \ x,z) * (((y \ 1) * x) * R(y,y \ 1,x))) = K(z,((y \ 1) * x) \ x) * K(((y \ 1) * x) \ x,(y \ 1) * x). [para(159(a,2),10050(a,1,2,2,2))]. 10062 T(K(x,y) * K(z,x),T(u,K(x,y))) = T(K(z,x) * K(x,y),u). [hyper(228,a,9889,a(flip),b,10038,a(flip)),flip(a)]. 10064 (x * (y * R(x,z,u))) \ ((x * y) * R(x,z,u)) = x \ R(x,y,R(x,z,u)). [para(1674(a,1),9436(a,1,2))]. 10065 x \ R(x,y,R(x,z,u)) = a(x,y,R(x,z,u)). [hyper(663,a,10064,a),flip(a)]. 10066 x \ R(x,y,R(x,z,u)) != w | a(x,y,R(x,z,u)) = w. [para(10064(a,1),663(a,1))]. 10067 K(x * R(y,z,u),y) * K(y,x) = a(y,x,R(y,z,u)). [hyper(228,a,9435,a,b,10065,a(flip)),flip(a)]. 10068 a(T(x,y),z,R(T(x,y),u,w)) = x \ R(x,z,R(T(x,y),u,w)). [hyper(228,a,9996,a(flip),b,10065,a(flip))]. 10069 x * a(x,y,R(x,z,u)) = R(x,y,R(x,z,u)). [para(10065(a,1),14(a,1,2))]. 10070 R(x,y,R(x,z,u)) \ x = a(x,y,R(x,z,u)) \ 1. [para(10065(a,1),3522(a,1,1)),flip(a)]. 10071 x \ R(T(x,y),z,R(x,u,w)) = K(x,y) * a(x,z,R(x,u,w)). [para(10065(a,1),8722(a,1,2)),flip(a)]. 10072 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(9894(a,2),10065(a,1,2))]. 10073 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(4222(a,1),10070(a,2,1))]. 10075 x \ R(x,y,R(T(x,z),u,w)) != v5 | a(T(x,z),y,R(T(x,z),u,w)) = v5. [para(9996(a,1),10066(a,1))]. 10076 a(x,y,R(x,z,u)) * K(x,y * R(x,z,u)) = K(x,y). [para(10067(a,1),5082(a,1,1))]. 10077 K(x * R(y,z,u),y) * K(y,T(x,R(y,w,v5))) = a(y,T(x,R(y,w,v5)),R(y,z,u)). [para(7404(a,1),10067(a,1,1))]. 10078 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(10067(a,1),8468(a,1,1)),flip(a)]. 10079 a(x,y / R(x,z,u),R(x,z,u)) * K(x,y) = K(x,y / R(x,z,u)). [para(16(a,1),10076(a,1,2,2))]. 10080 T(x,y) \ R(T(x,y),z,R(x,u,w)) = a(x,z,R(x,u,w)). [hyper(5149,a,10071,a)]. 10081 T(x,y) * a(x,z,R(x,u,w)) = R(T(x,y),z,R(x,u,w)). [para(10080(a,1),14(a,1,2))]. 10082 T(x,y) \ R(T(x,y),z,R(x,u,w)) != v5 | a(x,z,R(x,u,w)) = v5. [para(10081(a,1),284(a,1,2)),flip(b)]. 10083 ((x \ y) \ y) \ R((x \ y) \ y,z,R(x,u,w)) != v5 | a(x,z,R(x,u,w)) = v5. [para(1046(a,1),10082(a,1))]. 10084 R(a(x,y * K(z,y),x),y * K(z,y),z) = L(a(x,y,x),y,z). [para(4674(a,1),9858(a,2,2))]. 10085 (x \ (((1 / y) * z) \ 1)) * ((1 / y) * z) = x \ K(z \ y,y \ z). [para(64(a,1),9972(a,2,2,1,2))]. 10086 (x \ (y \ ((1 / z) \ 1))) * ((1 / z) * y) = x \ K(y \ z,z \ y). [para(118(a,1),10085(a,1,1,2))]. 10087 (x \ (y \ z)) * ((1 / z) * y) = x \ K(y \ z,z \ y). [para(64(a,1),10086(a,1,1,2,2))]. 10088 ((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(9909(a,1),9984(a,2,2,2,1,1))]. 10089 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(10066,a,10072,a)]. 10090 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(9894(a,1),10073(a,1,1))]. 10091 T(x,T((1 / y) \ x,z)) * K(T(y \ 1,z) \ 1,x) = L(x,T(1 / y,z) \ 1,x). [para(8198(a,1),6070(a,1,1))]. 10092 K(((x \ y) \ z) \ 1,(x \ y) \ z) = K((y \ (x * z)) \ 1,y \ (x * z)). [para(458(a,1),6391(a,1,2)),flip(a)]. 10093 K(((x \ y) \ z) \ 1,(x \ y) \ z) = K((x * z) \ y,y \ (x * z)). [hyper(228,a,5601,a(flip),b,10092,a)]. 10094 K((x * y) \ z,z \ (x * y)) = K(y \ (x \ z),(x \ z) \ y). [hyper(5782,a,10093,a),flip(a)]. 10095 K((x \ 1) \ (y \ z),(y \ z) \ (x \ 1)) = K((x / y) * z,z \ (y * (x \ 1))). [hyper(228,a,5638,a(flip),b,10094,a(flip))]. 10096 K(x \ (y \ z),(y \ z) \ x) / (y * x) = ((y * x) \ z) * (1 / z). [hyper(72,a,10094,a(flip),b,6853,a)]. 10097 K(x \ T(y,z),(z \ (y * z)) \ x) / (z * x) = ((z * x) \ (y * z)) * (1 / (y * z)). [para(32(a,2),10096(a,1,1,1,2))]. 10098 K((x / y) * z,z \ (y * (x \ 1))) = K(x * (y \ z),(y \ z) \ (x \ 1)). [hyper(228,a,5637,a(flip),b,10095,a(flip))]. 10099 K(x,(a(K(y,z),u,w) \ ((u * w) \ K(z,y))) * v5) = K(x,(w \ (u \ K(z,y))) * v5). [hyper(228,a,5935,a(flip),b,6539,a)]. 10100 ((x * (y * ((x \ (z / u)) / y))) * u) / z = K(y,z / ((x * y) * u)). [hyper(228,a,6937,a(flip),b,6696,a(flip))]. 10101 (x * y) * L(z \ T(z * (y \ (z \ 1)),z),y,x) = (x * K(y \ 1,z)) * (z \ 1). [para(1629(a,2),6769(a,1,2))]. 10102 (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = R(x,K(y,T(u,z)),z * K(u,y)) * z. [para(7202(a,1),7890(a,2,1,2))]. 10103 L(x * K(y,z),K(z,y),x * K(y,z)) = T(K(y,z) * x,T(x,K(y,z))). [para(5041(a,1),8013(a,1,2)),flip(a)]. 10104 L(x * K(y,z),K(z,y),x * K(y,z)) = T(K(y,z) * x,x). [hyper(228,a,3981,a(flip),b,10103,a)]. 10105 K(x \ ((y / z) \ u),L(z,w,v5)) != v6 | K(x \ ((z \ y) \ u),L(z,w,v5)) = v6. [para(8654(a,1),4925(a,1))]. 10106 ((x * y) * a(y,x,y)) \ ((y * x) * y) = R(T(y,y * x),x * y,a(y,x,y)). [para(3921(a,1),8912(a,1,1)),flip(a)]. 10107 K(x,y) * T(z,K(y,u) * K(x,y)) = T(z * K(x,y),K(y,u)). [para(10022(a,1),8924(a,1,1,1)),flip(a)]. 10108 K(x,y) * T(z,K(x,y) * K(y,u)) = T(z * K(x,y),K(y,u)). [para(1757(a,1),10107(a,1,2,2))]. 10109 T((K(x,y) \ z) * K(x,y),K(y,u)) \ z = K(K(x,y) * K(y,u),K(x,y) \ z). [para(10108(a,1),5155(a,1,1))]. 10110 K(K(x,y) * K(y,z),K(x,y) \ u) = T(T(u,K(x,y)),K(y,z)) \ u. [para(6003(a,1),10109(a,1,1,1)),flip(a)]. 10111 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(42(a,2),8962(a,1,1,2))]. 10112 L(x \ 1,T(K(x,y),z),z) * (K(x,y) * z) = z * (K(x,T(y,z)) * T(x \ 1,z)). [para(7152(a,2),9354(a,2,2,1))]. 10113 K(L(K(x,y),z,u),w \ (v5 / x)) = K(L(K(x,y),z,u),w \ v5). [hyper(4930,a,9390,a),flip(a)]. 10114 K(L(K(x,y),z,u),w \ (v5 / x)) = K(y,K(w \ v5,L(x,z,u))). [hyper(228,a,8511,a(flip),b,10113,a)]. 10115 K(x,K(y \ (z / u),L(u,w,v5))) = K(x,K(y \ z,L(u,w,v5))). [hyper(8522,a,10114,a)]. 10116 K(x,K(y \ (z \ u),L(z,w,v5))) = K(x,K(y \ u,L(z,w,v5))). [para(9501(a,1),10115(a,1,2))]. 10117 K(x,K(y \ (z \ u),L(w,y,z))) = K(x,K(w,(z * (y * w)) \ u)). [hyper(228,a,9897,a(flip),b,10116,a(flip))]. 10118 K(x,K(y,(z * (u * y)) \ w)) = K(y,K(x,(z * u) \ w)). [hyper(228,a,8518,a(flip),b,10117,a(flip))]. 10119 K(x,K(y,(z * (u * x)) \ w)) = K(x,K(y,(z * u) \ w)). [hyper(7725,a,10118,a)]. 10120 K(x,K(y,a(z,x,T(u,x)))) = K(x,K(y,(z * u) \ ((z * x) * u))). [hyper(228,a,9728,a(flip),b,10119,a(flip)),flip(a)]. 10121 K(x,K(y,a(z,x,T(u,x)))) = 1. [hyper(228,a,9423,a(flip),b,10120,a)]. 10123 K(x,K(y,a(z,x,u))) = 1. [para(165(a,1),10121(a,1,2,2,3))]. 10125 T(a(x,y,z),K(u,y)) = a(x,y,z) * 1. [para(10123(a,1),7697(a,1,2)),flip(a)]. 10126 T(a(x,y,z),K(u,y)) = a(x,y,z). [hyper(228,a,12,a(flip),b,10125,a)]. 10127 T(a(x,y \ z,u),K(y,z)) = a(x,y \ z,u). [hyper(8186,a,10126,a)]. 10128 a(x,y \ z,u) * K(y,z) = K(y,z) * a(x,y \ z,u). [para(10127(a,1),113(a,1,2)),flip(a)]. 10129 K((x * (y * z)) \ u,L(z,w,v5)) != v6 | K((x * y) \ (z \ u),L(z,w,v5)) = v6. [para(9397(a,1),4925(a,1))]. 10130 K(x,R(x,y,z) \ ((x * R(T(x,u),y,z)) / w)) != v5 | K(x,w \ x) = v5. [para(9528(a,2),7966(a,1))]. 10131 R(T(x,y * a(z,u,z)),y,a(z,u,z)) != w | L(T(x,y),y,a(z,u,z)) = w. [para(9782(a,1),9786(a,1))]. 10132 a(x,T(y,R(x,z,u)),R(x,w,v5)) = K(y * R(x,w,v5),x) * K(x,y). [para(7221(a,1),10077(a,1,2)),flip(a)]. 10133 a(x,T(y,R(x,z,u)),R(x,w,v5)) = a(x,y,R(x,w,v5)). [hyper(228,a,10067,a(flip),b,10132,a)]. 10135 a(x,y / R(x,z,u),R(x,w,v5)) = a(x,R(x,z,u) \ y,R(x,w,v5)). [para(115(a,1),10133(a,1,2)),flip(a)]. 10136 a(x,T(y,x),R(x,z,u)) = a(x,y,R(x,z,u)). [para(340(a,1),10133(a,1,2,2))]. 10137 a(x,R(x,y,z) \ u,R(x,y,z)) * K(x,u) = K(x,u / R(x,y,z)). [para(10135(a,1),10079(a,1,1))]. 10138 a(x,R(x,y,z) \ u,R(x,y,z)) * K(x,u) = K(x,R(x,y,z) \ u). [hyper(228,a,7248,a(flip),b,10137,a)]. 10139 T(x,T((y \ 1) \ x,z)) * K(T(y \ 1,z) \ 1,x) = L(x,T(1 / y,z) \ 1,x). [para(4534(a,1),10091(a,1,1))]. 10140 x * (y * (z \ T(z * (y \ (z \ 1)),z))) = (x * K(y \ 1,z)) * (z \ 1). [hyper(218,a,10101,a)]. 10141 (x * K(y \ 1,z)) * (z \ 1) = x * (K(y \ 1,z) * (z \ 1)). [para(6145(a,1),10140(a,1,2)),flip(a)]. 10142 (x * K(y \ 1,z)) * (z \ 1) = x * (T(z,y \ 1) \ 1). [para(5004(a,1),10141(a,2,2))]. 10143 (x * K(y,z)) * (z \ 1) = x * (T(z,(1 / y) \ 1) \ 1). [para(64(a,1),10142(a,1,1,2,1))]. 10144 (x * K(y,z)) * (z \ 1) = x * (T(z,y) \ 1). [para(64(a,1),10143(a,2,2,1,2))]. 10145 (x * (y \ 1)) \ (x * (T(y,z) \ 1)) = K(z,y). [hyper(71,a,10144,a(flip),b,6684,a(flip))]. 10148 (x * K(y,z)) * (z \ 1) = x * (z \ K(y,z)). [para(4653(a,1),10144(a,2,2))]. 10149 (x * K(y,z)) * (T(y,z) \ 1) = x * (y \ 1). [para(5062(a,1),10144(a,1,1)),flip(a)]. 10151 L(K(x,y),y \ 1,z) = K(x,y). [hyper(4973,a,10145,a)]. 10152 L(K((x \ y) \ (z \ 1),z),z \ 1,u) = K(y \ (z \ x),z). [hyper(228,a,9210,a(flip),b,10151,a)]. 10153 a(x,y \ 1,K(y,z)) = 1. [hyper(70,a,10151,a(flip),b,9681,a),flip(a)]. 10154 L(K(x,y),x \ 1,z) = K(x,y). [hyper(33,a,10153,a)]. 10155 K(x,L(y,x \ 1,z) \ 1) = K(x,y \ 1). [hyper(6709,a,10154,a)]. 10157 T(x,L(y,x \ 1,z) \ 1) = x * K(x,y \ 1). [para(10155(a,1),4705(a,2,2))]. 10158 (x * (y \ 1)) * K(z,y) = x * (y \ K(z,y)). [hyper(228,a,6684,a(flip),b,10148,a(flip)),flip(a)]. 10159 (x * K(y * K(z,y),z)) * (y \ 1) = x * ((y * K(z,y)) \ 1). [para(4674(a,1),10149(a,1,2,1))]. 10160 (x * (y \ K(z,y))) / (y \ K(z,y)) = R(x,y \ 1,K(z,y)). [para(10158(a,1),3273(a,1,1))]. 10161 T(x,L(y,x \ 1,z) \ 1) = T(x,y \ 1). [hyper(228,a,4705,a,b,10157,a)]. 10162 T(x,L(x * (y \ z),x \ 1,u) \ 1) = T(x,z \ (x \ y)). [hyper(228,a,9213,a(flip),b,10161,a)]. 10163 K(x \ (y * (z \ 1)),z) = K(x \ (z \ y),z). [hyper(228,a,6328,a(flip),b,10152,a(flip)),flip(a)]. 10164 K(((x \ 1) * y) \ (x \ z),x) = K(y \ T(z,x \ 1),x). [hyper(228,a,9333,a(flip),b,10163,a(flip))]. 10165 K(((x \ 1) * y) \ (x \ z),x) = K(y \ z,x). [hyper(228,a,9359,a(flip),b,10164,a)]. 10166 K(((x \ 1) * y) \ z,x) = K(y \ (z * x),x). [hyper(7648,a,10165,a)]. 10167 K(L(x,y,y \ 1) \ z,y) = K((x * y) \ (z * y),y). [hyper(228,a,8610,a(flip),b,10166,a(flip)),flip(a)]. 10168 K(L(x,y,y \ 1) \ z,y) = K(x \ z,y). [hyper(228,a,7550,a(flip),b,10167,a)]. 10169 T(x,y) \ T(x * K(z \ u,x),y) = K(L(z,x,x \ 1) \ u,T(x,y)). [para(10168(a,1),5404(a,1,2,1,2))]. 10170 R(x,y \ 1,K(z,y)) = x. [hyper(295,a,10160,a)]. 10172 R(x,y \ 1,K(z,T(y,u))) = x. [para(7202(a,1),10170(a,1,3))]. 10173 R(x,(y * K(z,y)) \ 1,K(u,y)) = x. [para(4674(a,1),10172(a,1,3,2))]. 10175 R(x,y \ K(y,z),K(u,y)) = x. [para(4905(a,1),10173(a,1,2))]. 10176 R(x,y,K(z,y \ 1)) = x. [para(271(a,1),10175(a,1,2))]. 10177 R(x,y \ z,K(u,z \ y)) = x. [para(5558(a,1),10176(a,1,3))]. 10178 x \ (y * K(z,y \ x)) = (x \ y) * K(z,y \ x). [para(10177(a,1),472(a,1,1))]. 10179 T(x \ y,z) * ((y \ x) * K(z,x \ y)) = T((x \ y) * (y \ x),z). [para(10178(a,1),6707(a,1,2))]. 10180 (x * K(y,z)) * (y \ 1) = x * ((y * K(z,y)) \ 1). [para(4889(a,1),10159(a,1,1,2))]. 10181 (x * K(y,z)) * (y \ 1) = x * (K(y,z) * (y \ 1)). [para(5449(a,1),10180(a,2,2))]. 10183 L(x \ 1,K(x,y),z) = x \ 1. [hyper(445,a,10181,a)]. 10185 T((x \ y) * (y \ x),z) = (x \ y) * (y \ x). [hyper(5726,a,10179,a),flip(a)]. 10187 K((x \ y) * (y \ x),z) = 1. [hyper(36,a,10185,a)]. 10188 T(x,(y \ z) * (z \ y)) = x. [hyper(35,a,10185,a)]. 10189 K(x * ((y * x) \ y),z) = 1. [para(13(a,1),10187(a,1,1,1))]. 10191 T(x,y * ((z * y) \ z)) = x. [para(13(a,1),10188(a,1,2,1))]. 10195 T(x * ((y * x) \ y),z) = x * ((y * x) \ y). [hyper(37,a,10189,a)]. 10196 x / (y * ((z * y) \ z)) = (y * ((z * y) \ z)) \ x. [hyper(7657,a,10191,a),flip(a)]. 10199 T(x * L(x \ 1,x,y),z) = x * ((y * x) \ y). [para(161(a,2),10195(a,1,1,2))]. 10200 T(x,y) * ((z * T(x,y)) \ z) = x * ((z * x) \ z). [hyper(228,a,9410,a(flip),b,10199,a(flip)),flip(a)]. 10201 T(x,y) * ((x * y) \ y) = x * ((y * x) \ y). [hyper(228,a,5714,a(flip),b,10199,a(flip)),flip(a)]. 10204 (1 / ((x * y) \ x)) / y = (y * ((x * y) \ x)) \ 1. [hyper(228,a,308,a,b,10196,a(flip)),flip(a)]. 10206 (x * ((y * x) \ y)) \ T(x,z) = 1 / ((y * T(x,z)) \ y). [para(10200(a,1),1926(a,1,1))]. 10207 ((x * ((y * x) \ y)) \ 1) \ (1 / ((y * x) \ y)) = x. [para(10204(a,1),64(a,1,1))]. 10208 (1 / ((x * y) \ x)) / y != z | (y * ((x * y) \ x)) \ 1 = z. [para(10207(a,1),293(a,1,2)),flip(b)]. 10209 K(L(x,y,y \ 1) \ z,T(y,u)) = K(x \ z,T(y,u)). [hyper(5904,a,10169,a),flip(a)]. 10210 K(((1 / x) * y) \ z,T(x,u)) = K((x \ y) \ z,T(x,u)). [para(2988(a,1),10209(a,1,1,1))]. 10211 K(((x \ 1) * y) \ z,T(x,u)) = K((x \ y) \ z,T(x,u)). [hyper(228,a,5358,a(flip),b,10210,a(flip)),flip(a)]. 10212 K(((x \ 1) * y) \ z,T(x,u)) = K(y \ (x * z),T(x,u)). [hyper(228,a,9509,a(flip),b,10211,a)]. 10213 K(x \ (y * z),T(y,x)) = K(((y \ 1) \ z) / x,y). [hyper(228,a,9334,a(flip),b,10212,a(flip))]. 10214 K(((x \ 1) \ y) / z,x) = K((x * y) / z,x). [hyper(7964,a,10213,a),flip(a)]. 10215 (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = R(x,K(y,u),z * K(u,y)) * z. [para(9265(a,1),10102(a,2,1))]. 10216 (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = (x * K(y,u)) * (K(u,y) * z). [hyper(228,a,9902,a(flip),b,10215,a)]. 10217 (x * K(y,T(z,u))) * (K(z,T(y,u)) * u) = (x * K(y,z)) * (K(z,y) * u). [para(7202(a,1),10216(a,1,1,2))]. 10218 (x * K(y,T(z,u))) * (u * K(z,y)) = (x * K(y,z)) * (K(z,y) * u). [para(7823(a,1),10217(a,1,2))]. 10219 (K(x,T(y,z)) * a(K(x,u),w,v5)) * (z * K(y,x)) = (a(K(x,u),w,v5) * K(x,y)) * (K(y,x) * z). [para(9075(a,2),10218(a,1,1))]. 10220 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(7785(a,1),10111(a,1,2))]. 10221 L(x \ 1,T(K(x,y),z),z) * (K(x,y) * z) = z * T(x \ K(x,y),z). [para(9882(a,1),10112(a,2,2))]. 10222 L(x \ 1,T(K(x,y),z),z) * (K(x,y) * z) = (x \ K(x,y)) * z. [hyper(228,a,113,a(flip),b,10221,a)]. 10223 L(x \ 1,K(x,T(y,z)),z) * (K(x,y) * z) = (x \ K(x,y)) * z. [para(7152(a,2),10222(a,1,1,2))]. 10224 (x \ 1) * (K(x,y) * z) = (x \ K(x,y)) * z. [para(10183(a,1),10223(a,1,1))]. 10225 ((x \ 1) * y) / ((x \ K(x,z)) * y) = K(z,x). [para(10224(a,1),6558(a,1,2))]. 10227 R(K(x,y),y \ 1,z) = K(x,y). [hyper(228,a,6935,a(flip),b,10225,a(flip)),flip(a)]. 10229 T(x,T(1 \ (y * x),z)) * K(T(y \ 1,z) \ 1,x) = L(x,T(1 / y,z) \ 1,x). [para(9615(a,1),10139(a,1,1))]. 10230 K(x * R(T(y,z),u,w),T(y,v5)) = K(x * R(y,u,w),T(y,v5)). [para(7986(a,1),10220(a,1,2))]. 10231 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(10230(a,1),5398(a,1,1,2))]. 10233 T(T(x * K(y * R(x,z,u),x),w),y) = R(T(x,w),y,R(T(x,w),z,u)). [para(5396(a,1),10231(a,1,1))]. 10234 R(T(x,y),z,R(T(x,y),u,w)) = R(T(x,y),z,R(x,u,w)). [hyper(228,a,6975,a(flip),b,10233,a(flip))]. 10235 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(10234(a,1),8690(a,2,1))]. 10236 K(x,y) * (y \ R(T(y,x),z,R(y,u,w))) = y \ R(y,z,R(T(y,x),u,w)). [para(10234(a,1),8727(a,1,2,2))]. 10237 K(x,y) * (K(y,x) * a(y,z,R(y,u,w))) = y \ R(y,z,R(T(y,x),u,w)). [para(10071(a,1),10236(a,1,2))]. 10238 x \ R(x,y,R(T(x,z),u,w)) = a(x,y,R(x,u,w)). [hyper(5046,a,10237,a)]. 10239 x \ R(x,y,R(T(x,z),u,w)) != v5 | a(x,y,R(x,u,w)) = v5. [para(10237(a,1),5046(a,1)),flip(b)]. 10240 a(T(x,y),z,R(T(x,y),u,w)) = a(x,z,R(x,u,w)). [hyper(10075,a,10238,a)]. 10243 a(T(x,y),z,R(T(x,y),u,w)) != v5 | a(x,z,R(x,u,w)) = v5. [para(10068(a,2),10239(a,1))]. 10244 T(x,T(y * x,z)) * K(T(y \ 1,z) \ 1,x) = L(x,T(1 / y,z) \ 1,x). [para(51(a,1),10229(a,1,1,2,1))]. 10245 T(x,T(y * x,z)) * K((y \ 1) \ 1,T(x,z)) = L(x,T(1 / y,z) \ 1,x). [para(7164(a,1),10244(a,1,2))]. 10246 T(x,T(y * x,z)) * K(y,T(x,z)) = L(x,T(1 / y,z) \ 1,x). [para(2857(a,1),10245(a,1,2))]. 10247 T(1 / ((x * K(y \ 1,y)) * z),x * K(y \ 1,y)) = ((x \ y) * (1 / y)) / z. [hyper(228,a,3531,a(flip),b,4424,a)]. 10248 T(1 / (K(x \ 1,x) * (y * z)),y * K(x \ 1,x)) = ((y \ x) * (1 / x)) / z. [para(3448(a,1),10247(a,1,1,2))]. 10249 T((1 / (x * y)) * K(z,z \ 1),x * K(z \ 1,z)) = ((x \ z) * (1 / z)) / y. [para(5048(a,1),10248(a,1,1))]. 10250 T(x * (1 / ((y * z) * x)),y * K(x \ 1,x)) = ((y \ x) * (1 / x)) / z. [para(6841(a,1),10249(a,1,1))]. 10251 T(x * (1 / ((y * z) * x)),y) = ((y \ x) * (1 / x)) / z. [hyper(9945,a,10250,a)]. 10252 ((x \ y) * (1 / y)) / z = x \ (y * (1 / (z * y))). [hyper(6850,a,10251,a),flip(a)]. 10254 (x * y) \ (x * (1 / (z * x))) = (y \ (1 / x)) / z. [para(4558(a,1),10252(a,1,1)),flip(a)]. 10255 x \ (y * (1 / ((z / (z / u)) * (u \ y)))) = ((x \ y) * (1 / y)) / K(u \ z,u). [para(5695(a,2),10252(a,2,2,2,2)),flip(a)]. 10256 (x \ (1 / (y \ 1))) / (z \ y) = ((y \ 1) * x) \ ((y \ 1) * z). [para(255(a,1),10254(a,1,2,2)),flip(a)]. 10257 (x * y) \ (x * (1 / (z * (x * K(u,u \ 1))))) = (y \ (1 / x)) / (z * K(u,u \ 1)). [para(4407(a,1),10254(a,1,2,2,2))]. 10258 ((x \ 1) * y) \ ((x \ 1) * z) = (y \ x) / (z \ x). [para(61(a,1),10256(a,1,1,2)),flip(a)]. 10259 a(1 / ((x \ 1) * y),x \ 1,z) = ((z \ x) / (y \ x)) / (z \ y). [para(10258(a,1),1497(a,1,1)),flip(a)]. 10260 a(1 / ((x \ 1) * (x / y)),x \ 1,z) = ((z \ x) / y) / (z \ (x / y)). [para(64(a,1),10259(a,2,1,2))]. 10261 x \ (y * (1 / ((z / (z / u)) * (u \ y)))) = ((x \ y) * (1 / y)) * K(u,u \ z). [hyper(228,a,5063,a(flip),b,10255,a)]. 10262 x \ (y * (1 / ((1 / (1 / z)) * (z \ y)))) = (x \ y) * ((1 / y) * K(z,z \ 1)). [hyper(228,a,4331,a(flip),b,10261,a)]. 10263 x \ (y * (1 / ((1 / (1 / z)) * (z \ y)))) = (x \ y) * (z * (1 / (y * z))). [para(6841(a,1),10262(a,2,2))]. 10264 x \ (y * (1 / (K(z \ 1,z) * y))) = (x \ y) * (z * (1 / (y * z))). [para(3066(a,1),10263(a,1,2,2,2))]. 10265 x \ (y * ((1 / y) * K(z,z \ 1))) = (x \ y) * (z * (1 / (y * z))). [para(5048(a,1),10264(a,1,2,2))]. 10266 x \ (y * (z * (1 / (y * z)))) = (x \ y) * (z * (1 / (y * z))). [para(6841(a,1),10265(a,1,2,2))]. 10267 (x * (y \ z)) * (u * (((x * (y \ z)) \ z) / u)) = (x * (u * ((x \ y) / u))) * (y \ z). [para(4498(a,1),4515(a,2,1))]. 10268 ((K(x,y) * z) * (z \ x)) / T(x,y) = a(K(x,y),z,z \ x). [para(9073(a,1),4793(a,1,2))]. 10270 L(L(x,y,T(z,u)),T(z,u) * y,K(u,z)) = (z * y) \ (z * (y * x)). [para(4681(a,1),5014(a,2,2))]. 10271 L(L(x,y,T(z,u)),T(z,u) * y,K(u,z)) = L(x,y,z). [hyper(228,a,28,a,b,10270,a)]. 10272 L(L(x,y,T(z,u)),T(z,u) * y,K(u,z)) != w | L(x,y,z) = w. [para(10270(a,2),456(a,1))]. 10274 L(x,y,T(x,z)) = L(x,y,x). [hyper(228,a,7457,a(flip),b,10271,a(flip)),flip(a)]. 10277 L(T(x,y),z,T(x,u)) = T(L(x,z,x),y). [para(10274(a,1),40(a,2,1))]. 10280 L(T(x,y),z,T(x,u)) = L(T(x,y),z,x). [hyper(228,a,40,a,b,10277,a)]. 10281 L(T(x,y),T(z,x),x) = L(T(x,y),z,x). [hyper(228,a,4242,a(flip),b,10280,a(flip))]. 10283 T(x,y) * (L(T(x,y),z,x) \ u) = u * a(T(x,y),z,T(x,y)). [para(10280(a,1),9016(a,1,2,1))]. 10284 a(T(x,y),z,T(x,y)) = a(x,z,x). [hyper(9029,a,10283,a),flip(a)]. 10286 ((x * y) * a(y,z,y)) \ ((y * x) * y) = L(T(y,x),z,T(y,x)). [para(10284(a,1),9018(a,1,1,2))]. 10287 L(x,a(y,z,y),T(y,u)) = x. [para(10284(a,1),9841(a,1,2))]. 10288 (T(x,y) * a(x,z,x)) * u = T(x,y) * (a(x,z,x) * u). [para(10287(a,1),100(a,1,2))]. 10289 T(x,y) * (a(x,z,x) * u) = R(T(x,y),z,x) * u. [para(8886(a,1),10288(a,1,1)),flip(a)]. 10290 (x * R(y,z,y)) \ ((y * x) * y) = L(T(y,x),z,T(y,x)). [para(9813(a,1),10286(a,1,1))]. 10292 (x * R(y,z,y)) \ ((y * x) * y) = L(T(y,x),z,y). [hyper(228,a,10280,a(flip),b,10290,a)]. 10294 R(R(x,y,T(z,u)),y * T(z,u),K(u,z)) = ((x * y) * z) / (y * z). [para(5207(a,1),5272(a,2,1))]. 10295 R(R(x,y,T(z,u)),y * T(z,u),K(u,z)) = R(x,y,z). [hyper(228,a,30,a,b,10294,a)]. 10298 R(R(x,y \ z,T(y,y \ z)),z,K(y \ z,y)) = R(x,y \ z,y). [para(168(a,1),10295(a,1,2))]. 10299 R(R(x,y / z,z),y,K(z \ y,z)) = R(x,z \ y,z). [para(6364(a,1),10298(a,1,1))]. 10300 T((((x / y) \ 1) \ y) * ((x / y) \ 1),z) = (x / y) \ T(x * K(y,z),(x / y) \ 1). [hyper(228,a,4477,a,b,5279,a),flip(a)]. 10301 ((1 / 1) \ ((x * y) * z)) \ (x * (y * z)) = ((y * z) \ (x \ 1)) \ (z \ (y \ (x \ 1))). [para(634(a,1),6775(a,1,1))]. 10302 R(x,y,x) * (K(z,R(x,y,x)) * (x \ u)) = K(z,x) * ((u / x) * R(x,y,x)). [para(7098(a,1),7125(a,1,1)),flip(a)]. 10303 R(x,y,x) * (K(z,x) * (x \ u)) = K(z,x) * ((u / x) * R(x,y,x)). [para(7098(a,1),10302(a,1,2,1))]. 10305 K(x,y) * ((z / y) * R(y,u,y)) = R(y,u,y) * (T(y,x) \ z). [para(5004(a,1),10303(a,1,2)),flip(a)]. 10307 R(x,y,x) * (T(x,z) \ u) = x * (L(T(x,z),y,x) \ u). [hyper(228,a,9823,a(flip),b,10305,a(flip))]. 10308 K(x,y) * (x * (L(T(x,z),u,x) \ w)) = R(T(x,y),u,x) * (T(x,z) \ w). [para(10307(a,1),7040(a,1,2))]. 10309 R(T(x,y),z,x) * (T(x,u) \ w) = T(x,y) * (L(T(x,u),z,x) \ w). [hyper(5095,a,10308,a),flip(a)]. 10310 ((x \ y) \ R(x \ y,z,x \ y)) * (y / x) = R((x \ y) * K(x,x \ y),z,x \ y). [para(3517(a,1),7680(a,1,1))]. 10311 K(T(x,y) * z,T(T(x,u),w)) = K(x * z,T(T(x,u),w)). [hyper(228,a,5404,a(flip),b,8216,a)]. 10312 K(((x \ y) \ y) * z,T(T(x,u),w)) = K(x * z,T(T(x,u),w)). [para(114(a,1),10311(a,1,1,1))]. 10313 K(x,(y * (K(x,z) * u)) \ (y * (u * w))) = K(x,L(w,K(x,z) * u,y)). [hyper(228,a,7438,a(flip),b,8661,a(flip))]. 10315 K(x,L(y,K(x,z) * u,w)) = K(x,(w * u) \ (w * (u * y))). [hyper(228,a,8655,a(flip),b,10313,a(flip))]. 10317 K(x,L(y,K(x,z) * u,w)) = K(x,L(y,u,w)). [para(28(a,2),10315(a,2,2))]. 10318 K(L(x,K(y,z) * u,w),y) = (y \ 1) / (y \ K(y,L(x,u,w))). [para(10317(a,1),5038(a,1,2,2)),flip(a)]. 10319 K(L(x,K(y,z) * u,w),y) = K(L(x,u,w),y). [hyper(228,a,5038,a(flip),b,10318,a)]. 10320 K(L(x,T(y,z),u),z) = K(L(x,y,u),z). [para(4665(a,1),10319(a,1,1,2)),flip(a)]. 10321 K((((x * K(y,z)) * u) * w) / (u * w),z) = K(R(x,K(y,z) * u,w),z). [hyper(228,a,8315,a(flip),b,8807,a(flip))]. 10323 K(R(x * K(y,z),u,w),z) = K(R(x,K(y,z) * u,w),z). [para(30(a,2),10321(a,1,1))]. 10324 K(R(K(x,y) * z,u,w),y) = K(R(z,K(x,y) * u,w),y). [hyper(228,a,8242,a,b,10323,a(flip)),flip(a)]. 10325 R(K(x,y),z * (K(u,y) * x),w) = K(R(x,K(u,y) * z,w),y). [hyper(228,a,9141,a,b,10324,a(flip)),flip(a)]. 10326 K(x,(((y * K(z,x)) * u) * w) / (u * w)) = K(x,R(y,K(z,x) * u,w)). [hyper(228,a,8309,a(flip),b,8819,a(flip))]. 10328 K(x,R(y * K(z,x),u,w)) = K(x,R(y,K(z,x) * u,w)). [para(30(a,2),10326(a,1,2))]. 10329 R(T(x,y),z,x) \ (x * (K(x,y) * (a(x,z,x) * u))) = L(u,x \ R(T(x,y),z,x),x). [para(9480(a,1),8918(a,1,2,2))]. 10330 K(T(x,y * K(z * x,y)),T(u,x * z)) = K((x * K(x * z,x)) * K(x,y),u). [hyper(8160,a,8968,a)]. 10331 K(T(x,y * K(z * x,y)),T(u,z)) = K((x * K(x * z,x)) * K(x,y),u). [hyper(228,a,8478,a(flip),b,10330,a(flip)),flip(a)]. 10332 K((x * K(x * y,x)) * K(x,z),u) = K(x * K(T(x,y),z),T(u,y)). [hyper(228,a,8969,a(flip),b,10331,a(flip))]. 10333 K((x * K(x * y,x)) * K(x,z),u) = K(K(y,x) * T(x,z),u). [hyper(228,a,8236,a(flip),b,10332,a)]. 10334 K(K(x * y,x) * T(x,z),u) = K(K(y,x) * T(x,z),u). [para(5254(a,1),10333(a,1,1))]. 10335 K(K(x * y,x) * T(x,z),T(u,z)) = K(x,T(u,T(y,z))). [hyper(228,a,8960,a(flip),b,10334,a)]. 10336 K(x,T(y,T(x * z,u))) = K(x,T(y,T(z,u))). [hyper(8961,a,10335,a)]. 10337 K(x,T(x * y,T(y,z))) = K(x,x * y). [para(196(a,1),10336(a,1,2)),flip(a)]. 10338 K(x,T(x * T(y,z),y)) = K(x,x * T(y,z)). [para(7927(a,1),10337(a,1,2))]. 10339 K(x,T(T(x * T(y,z),u),y)) = T(K(x,x * T(y,z)),u). [para(10338(a,1),7173(a,2,1))]. 10340 K(x,T(T(x * T(y,z),u),y)) != w | K(x,T(x * T(y,z),u)) = w. [para(10339(a,2),7634(a,1))]. 10341 T(T(x,y) / T(R(x,z,x),u),R(x,z,x)) = (x \ L(T(x,y),z,x)) * K(u,x). [para(7098(a,1),9297(a,2,2))]. 10342 T(T(x,y) / T(R(x,z,x),u),R(x,z,x)) = T(x,u) \ L(T(x,y),z,x). [hyper(228,a,8192,a(flip),b,10341,a)]. 10344 K(x,T(T(T(x,y) * z,u),w)) = K(x,T(T(z * T(x,y),u),w)). [hyper(9149,a,9380,a),flip(a)]. 10345 K(x,T(T(y * T(x,z),u),w)) = K(x,T(T(x * y,u),w)). [hyper(228,a,8499,a(flip),b,10344,a(flip))]. 10347 K(x \ R(x,y,z),R(x,x \ R(x,y,z),y * z)) = K(a(x,y,z),x). [hyper(228,a,9905,a(flip),b,9724,a)]. 10348 K(a(x,y,z),x) = 1. [hyper(6431,a,10347,a),flip(a)]. 10350 T(a(x,y,z),x) = a(x,y,z). [hyper(37,a,10348,a)]. 10351 a(x,y,z) * x = x * a(x,y,z). [para(10350(a,1),113(a,1,2)),flip(a)]. 10352 T(a(1 / x,y,z),x \ 1) = a(x \ 1,y,z). [para(3715(a,2),10350(a,1,1))]. 10353 K((x * ((y * z) \ y)) \ ((1 / ((y * z) \ y)) \ u),y \ (y * z)) = K(x \ u,z). [hyper(5766,a,9754,a)]. 10354 K((x * ((y * z) \ y)) \ ((1 / ((y * z) \ y)) \ u),z) = K(x \ u,z). [para(13(a,1),10353(a,1,2))]. 10355 K(((x * y) \ x) \ (y \ ((1 / ((x * y) \ x)) \ z)),y) = K(y \ z,y). [hyper(8360,a,10354,a)]. 10356 (x * (y * R(z,u,L(z,y,x)))) / (x * (y * z)) = a(L(z,y,x),u,L(z,y,x)). [para(451(a,1),9819(a,1,1))]. 10357 K(x \ T(y,z),T(y,z) \ x) / (z * x) = ((z * x) \ (y * z)) * (1 / (y * z)). [para(32(a,2),10097(a,1,1,2,1))]. 10358 (x * y) \ (x * (K(z \ 1,z) / (u * x))) = (y \ (1 / x)) / (u * K(z,z \ 1)). [para(5139(a,1),10257(a,1,2,2))]. 10359 (x * y) \ (K(z \ x,x \ z) / u) = (y \ (1 / x)) / (u * K(z,z \ 1)). [para(6894(a,1),10358(a,1,2))]. 10360 (x * y) \ (K(z \ x,x \ z) / u) = K(z \ 1,z) * ((y \ (1 / x)) / u). [hyper(228,a,4554,a(flip),b,10359,a)]. 10361 (x * y) \ (K(z \ x,x \ z) / u) = (y \ ((z \ 1) * (z / x))) / u. [hyper(228,a,4528,a(flip),b,10360,a)]. 10362 (x * (y * ((x \ (z / u)) / y))) * ((z / u) \ z) = (x * u) * (y * (((x * ((z / u) \ z)) \ z) / y)). [para(64(a,1),10267(a,1,1,2)),flip(a)]. 10363 (x / y) \ T(x * K(y,z),(x / y) \ 1) = T(x * (y / x),z). [para(3635(a,1),10300(a,1,1)),flip(a)]. 10364 K(x * K(y,z),(x / y) \ 1) = T(x * (y / x),z) / T(y,z). [para(10363(a,1),6014(a,1,1)),flip(a)]. 10365 K(x * K(y,z),(x / y) \ 1) = K(x,x \ T(y,z)). [hyper(228,a,5097,a(flip),b,10364,a)]. 10366 K(K(x,y) * z,z \ x) = K(z,z \ T(x,y)). [hyper(228,a,8479,a(flip),b,10365,a(flip)),flip(a)]. 10367 ((x * y) \ (z \ 1)) \ (y \ (x \ (z \ 1))) = (1 \ ((z * x) * y)) \ (z * (x * y)). [para(58(a,1),10301(a,1,1,1)),flip(a)]. 10368 ((x * y) \ (z \ 1)) \ (y \ (x \ (z \ 1))) = ((z * x) * y) \ (z * (x * y)). [para(51(a,1),10367(a,2,1))]. 10370 ((x \ y) \ R(x \ y,z,x \ y)) * (y / x) = R(y / x,z,x \ y). [para(4717(a,1),10310(a,2,1))]. 10371 a(x \ y,z,x \ y) * (y / x) = R(y / x,z,x \ y). [para(8875(a,1),10370(a,1,1))]. 10372 R(T(x / y,K(y,x)),z,x / y) = a(y \ x,z,y \ x) * (x / y). [hyper(228,a,7679,a,b,10371,a),flip(a)]. 10373 a(x / y,z,x / y) = a(y \ x,z,y \ x). [hyper(9596,a,10372,a)]. 10374 R(T(x,y),z,x) \ (T(x,y) * (a(x,z,x) * u)) = L(u,x \ R(T(x,y),z,x),x). [para(4675(a,1),10329(a,1,2))]. 10375 R(T(x,y),z,x) \ (R(T(x,y),z,x) * u) = L(u,x \ R(T(x,y),z,x),x). [para(10289(a,1),10374(a,1,2))]. 10376 L(x,y \ R(T(y,z),u,y),y) = x. [hyper(284,a,10375,a)]. 10378 L(x,K(y,z) * a(y,u,y),y) = x. [para(8887(a,1),10376(a,1,2))]. 10379 L(x,T(y / T(x,y),z),x) * T(y / T(x,y),z) = ((x * T(x \ y,z)) * x) / x. [para(4281(a,1),4057(a,2,1))]. 10380 L(x,T(y / T(x,y),z),x) * T(y / T(x,y),z) != u | x * T(x \ y,z) = u. [para(10379(a,2),295(a,1)),flip(b)]. 10381 L(x,y * K(z \ 1,z),u) = (u * y) \ (u * (y * x)). [para(4417(a,1),4543(a,1,2)),flip(a)]. 10382 L(x,y * K(z \ 1,z),u) = L(x,y,u). [hyper(228,a,28,a,b,10381,a)]. 10384 L(x,1 / y,z) = L(x,y \ 1,z). [para(725(a,1),10382(a,1,2)),flip(a)]. 10386 L(x,K(y \ 1,y) * z,u) = L(x,z,u). [para(2353(a,2),10382(a,1,2))]. 10387 L(x,y * (1 / z),u) = L(x,y * (z \ 1),u). [para(2812(a,1),10382(a,1,2)),flip(a)]. 10388 L(x,T((y \ 1) \ 1,z) \ u,w) = L(x,T(y,z) \ u,w). [para(3142(a,1),10382(a,1,2))]. 10389 L(x,T(1 / y,z) \ u,w) = L(x,T(y \ 1,z) \ u,w). [para(3206(a,1),10382(a,1,2))]. 10390 L(x,y / T(1 / z,u),w) = L(x,y / T(z \ 1,u),w). [para(6648(a,1),10382(a,1,2))]. 10394 L(x,(y \ K(y,z)) * T(y,u),w) = L(x,K(y,z) * K(y,u),w). [para(6525(a,1),10386(a,1,2))]. 10395 L(x,y * ((K(z,u) * T(z,w)) \ 1),v5) = L(x,y * (K(u,z) / T(z,w)),v5). [para(5138(a,1),10387(a,1,2,2)),flip(a)]. 10396 T(x,T(y * x,z)) * K(y,T(x,z)) = L(x,T(y \ 1,z) \ 1,x). [hyper(228,a,10246,a,b,10389,a(flip)),flip(a)]. 10397 L(x,T(y \ 1,z) \ 1,x) = L(x,y,x). [hyper(228,a,9582,a(flip),b,10396,a(flip))]. 10399 L(x,T(y,z) \ 1,x) = L(x,y \ 1,x). [hyper(228,a,10388,a(flip),b,10397,a(flip)),flip(a)]. 10400 L(x,(y / z) \ 1,x) = L(x,(z \ y) \ 1,x). [para(115(a,1),10399(a,1,2,1)),flip(a)]. 10401 L(x,y * (K(z,u) / T(u,w)),v5) = L(x,y * (T(u,z) \ K(w,u)),v5). [para(5583(a,1),10395(a,1,2,2)),flip(a)]. 10402 L(T(x,y),x \ (z * K(u,x)),x) = T(L(x,x \ z,x),y). [para(9650(a,1),5295(a,1,1)),flip(a)]. 10403 L(T(x,y),x \ (K(z,x) * u),x) = T(L(x,x \ u,x),y). [para(7205(a,1),10402(a,1,2,2))]. 10405 L(T(x,y),x \ (K(z,x) * u),x) = L(T(x,y),x \ u,x). [hyper(228,a,40,a,b,10403,a)]. 10406 L(T(x,y),T(x,z) \ u,x) = L(T(x,y),x \ u,x). [para(4997(a,1),10405(a,1,2))]. 10407 L(T(x,y),T(z / T(x,u),x),x) = L(T(x,y),x \ z,x). [para(8432(a,2),10406(a,1,2))]. 10408 L(T(x,y),z / T(x,u),x) = L(T(x,y),x \ z,x). [hyper(228,a,10281,a(flip),b,10407,a(flip)),flip(a)]. 10409 K((x / R(1 / y,y,z)) \ 1,z / (y * z)) = K(((x * (y * z)) / z) \ 1,y \ 1). [hyper(5424,a,6123,a),flip(a)]. 10411 K((x / R(1 / y,y,z)) \ 1,z / (y * z)) = K(z / (x * (y * z)),y \ 1). [hyper(228,a,5619,a(flip),b,10409,a)]. 10412 K((x / R(1 / y,y,z)) \ 1,y \ 1) = K(z / (x * (y * z)),y \ 1). [hyper(5424,a,10411,a)]. 10413 K(R(1 / x,x,y) / z,x \ 1) = K(y / (z * (x * y)),x \ 1). [hyper(6063,a,10412,a)]. 10415 K(x \ R(1 / y,y,z),y \ 1) = K(z / (x * (y * z)),y \ 1). [hyper(7643,a,10413,a)]. 10416 K(x \ R(y \ 1,y,z),y \ 1) = K(z / (x * (y * z)),y \ 1). [hyper(228,a,5894,a(flip),b,10415,a(flip)),flip(a)]. 10417 K(x / (y * (z * x)),z \ 1) = K(y \ (x / (z * x)),z \ 1). [para(162(a,1),10415(a,1,1,2)),flip(a)]. 10418 K(x / (y * (z * x)),z \ 1) = K(y \ ((z * x) \ x),z \ 1). [hyper(228,a,8573,a(flip),b,10417,a)]. 10419 K(x / (y * ((z \ 1) * x)),(z \ 1) \ 1) != u | K(y \ (x / ((z \ 1) * x)),z) = u. [para(10417(a,2),6218(a,1))]. 10420 R(x,x \ 1,y \ R(y,x \ 1,y)) = x. [hyper(228,a,9978,a(flip),b,6183,a)]. 10422 R(x,x \ 1,a(y,x \ 1,y)) = x. [para(8875(a,1),10420(a,1,3))]. 10423 (x \ 1) * a(y,x \ 1,y) = x \ a(y,x \ 1,y). [para(10422(a,1),391(a,1,1)),flip(a)]. 10424 T(x \ a(y,x \ 1,y),y) = y \ T(y * (x \ 1),y). [para(10423(a,1),8899(a,1,1))]. 10425 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = (y \ T(y * (x \ 1),y)) * R(T(x \ a(y,x \ 1,y),y) \ 1,z,u). [para(10424(a,1),2014(a,1,1)),flip(a)]. 10426 T(x,L(x * (y \ z),x \ 1,y) \ 1) = T(x,((y * (x \ 1)) \ z) \ 1). [hyper(228,a,6188,a(flip),b,6186,a)]. 10427 T(x,L(x * (y \ z),x \ 1,y) \ 1) = T(x,z \ (y * (x \ 1))). [hyper(228,a,5675,a(flip),b,10426,a)]. 10428 T(x,y \ (z * (x \ 1))) = T(x,y \ (x \ z)). [hyper(228,a,10162,a(flip),b,10427,a(flip))]. 10430 T(x,(y / (x \ 1)) \ z) = T(x,y \ (x \ z)). [hyper(228,a,9632,a,b,10428,a(flip)),flip(a)]. 10431 T(x,((x \ 1) \ y) \ z) = T(x,y \ (x \ z)). [hyper(228,a,9347,a(flip),b,10430,a(flip)),flip(a)]. 10432 T(x,(y * (x \ 1)) \ (x \ z)) = T(x,T(y,x \ 1) \ z). [para(32(a,2),10431(a,1,2,1)),flip(a)]. 10433 T(x,R(y,x \ 1,x) \ z) = T(x,T(y,x \ 1) \ z). [hyper(228,a,9093,a(flip),b,10432,a(flip)),flip(a)]. 10434 T(x,R(y,x \ 1,x) \ z) = T(x,y \ z). [hyper(228,a,9344,a(flip),b,10433,a)]. 10435 T(x,(y * (x \ 1)) \ z) = T(x,y \ (x * z)). [hyper(228,a,9055,a(flip),b,10434,a(flip)),flip(a)]. 10436 R(K(R(x,y,z),u),w,L(x,w,K(R(x,y,z),u))) = K(R(x,y,z),u). [hyper(228,a,15,a(flip),b,7431,a)]. 10438 R(K(R(x,y,z),u),w,x) = K(R(x,y,z),u). [para(7430(a,1),10436(a,1,3))]. 10439 R(T(x,y),T(K(x,z),T(x,y)),u) = (T(T(x,z),T(y,z)) * u) / (K(x,z) * u). [para(3165(a,1),8043(a,1,2,1)),flip(a)]. 10440 (T(T(x,y),T(z,y)) * u) / (K(x,y) * u) = R(T(x,z),K(x,y),u). [para(3165(a,1),10439(a,1,2)),flip(a)]. 10442 (K(x,y) * z) * R((K(x,y) * z) \ (T(T(x,y),T(u,y)) * z),w,v5) = R(R(T(x,u),K(x,y),z),w,v5) * (K(x,y) * z). [para(10440(a,1),598(a,1,1,1)),flip(a)]. 10444 K(x * R(y,z,u),y) * K(y,K(w,x)) = T(K(x * R(y,z,u),T(y,x)),w). [para(9112(a,1),8528(a,1,2))]. 10445 K(x * R(y,z,u),y) * K(x,K(y,w)) = T(K(x * R(y,z,u),T(y,x)),w). [para(7728(a,1),10444(a,1,2))]. 10447 K(x * R(y,z,u),y) * K(x,K(y,w)) = T(K(x * R(y,z,u),y),w). [para(8154(a,1),10445(a,2,1))]. 10448 a(x,y,R(x,z,u)) * T(K(y,x),w) = T(K(y * R(x,z,u),x),w). [hyper(228,a,10078,a(flip),b,10447,a(flip)),flip(a)]. 10449 T(K(x * R(y,z,u),y),w) * T(K(y,x),w) = a(y,x,R(y,z,u)). [hyper(9985,a,10448,a)]. 10450 T(K(x,y) * K(y * R(x,z,u),x),w) = a(x,y,R(x,z,u)). [hyper(10055,a,10449,a)]. 10451 K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K(u \ (L(x,y,z) * w),T(x,L(x,y,z) \ u)). [hyper(7637,a,8748,a),flip(a)]. 10452 K(T(x,y * z) * z,T(x,y * z)) = a(x,z,x) * K(z,T(x,y)). [para(10284(a,1),8909(a,1,1)),flip(a)]. 10453 a(x,y,x) * K(y,T(x,z)) = K(x * y,T(x,z)). [hyper(9529,a,10452,a),flip(a)]. 10455 K(x * y,T(x,z)) * K(x,T(y,z)) = a(x,y,x). [hyper(7236,a,10453,a)]. 10456 K(x * T(y,z),T(x,u)) * K(x,T(T(y,u),z)) = a(x,T(y,z),x). [para(38(a,1),10455(a,1,2,2))]. 10457 K(((x \ y) \ 1) * z,T((x \ y) \ 1,x)) * K((x \ y) \ 1,T(z,T(x,y))) = a((x \ y) \ 1,z,(x \ y) \ 1). [para(7608(a,1),10455(a,1,1,2))]. 10458 K(((x \ y) \ y) * z,T(T(x,y),u)) * K((x \ y) \ y,T(z,u)) = a((x \ y) \ y,z,(x \ y) \ y). [para(7649(a,1),10455(a,1,1))]. 10459 K(((x / y) \ 1) * z,T(y / x,u)) * K((x / y) \ 1,T(z,u)) = a((x / y) \ 1,z,(x / y) \ 1). [para(9086(a,1),10455(a,1,1))]. 10460 a(x,T(y,z),x) != u * K(x,T(T(y,w),z)) | K(x * T(y,z),T(x,w)) = u. [para(10456(a,1),20(a,1))]. 10461 R(T(x,K(y,z)),K(z,y),x) \ T(K(z,y) * x,x) = T(K(z,y),T(x,K(y,z))). [para(7567(a,1),9054(a,1,2))]. 10462 R(T(x,K(y,z)),K(z,y),x) \ T(K(z,y) * x,x) = K(z,T(y,x)). [hyper(228,a,7991,a(flip),b,10461,a)]. 10464 K(L(x,y * z,u),(x * y) \ (x * (y * z))) = K(x,L(L(z,y,x),x * y,u)). [para(13(a,1),9080(a,1,2,1))]. 10466 K(L(x,y * z,u),L(z,y,x)) = K(x,L(L(z,y,x),x * y,u)). [para(28(a,2),10464(a,1,2))]. 10467 K(L(x,y * z,u),z) = K(x,L(L(z,y,x),x * y,u)). [hyper(8299,a,10466,a)]. 10468 K(L(x,y * z,u),z) = K(x,L(z,x * y,u)). [hyper(228,a,7026,a(flip),b,10467,a)]. 10471 K(L(x,(x \ y) * z,u),z) = K(x,L(z,y,u)). [para(14(a,1),10468(a,2,2,2))]. 10472 K(L(x,T(y * (x \ z),y),u),R(y,x \ z,y)) = K(x,L(R(y,x \ z,y),z,u)). [para(4040(a,1),10471(a,1,1,2))]. 10473 K(x,y \ K(z,L(x,u,w))) = K(x,y \ 1). [para(10471(a,1),7132(a,1,2,2))]. 10474 K(x,(T(L(x,y,z),u) \ w) \ 1) = K(x,w \ L(x,y,z)). [hyper(228,a,6417,a(flip),b,10473,a(flip))]. 10475 K(x,y \ K(z,L(L(x,u,w),v5,v6))) = K(x,y \ 1). [para(10471(a,1),10473(a,1,2,2))]. 10476 K(x,(L(T(x,y),z,u) \ w) \ 1) = K(x,w \ L(x,z,u)). [para(40(a,2),10474(a,1,2,1,1))]. 10477 K(x,y \ L(T(x,z),u,w)) = K(x,y \ L(x,u,w)). [hyper(5671,a,10476,a)]. 10478 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(1101(a,1),10477(a,1,2,2,1)),flip(a)]. 10479 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(1102(a,1),10477(a,1,2,2,1))]. 10480 K(L(x,T(y * (x \ z),y),u),y) = K(x,L(R(y,x \ z,y),z,u)). [hyper(7099,a,10472,a)]. 10482 K(x,L(R(y,x \ z,y),z,u)) = K(L(x,y * (x \ z),u),y). [hyper(228,a,10320,a(flip),b,10480,a(flip))]. 10483 (x * (y * z)) \ ((x * K(z,y)) * (y * z)) = L(K(z,y),T(x,y * z),y * z). [para(113(a,1),9303(a,1,2))]. 10484 K(x,((y / z) * (z * x)) \ (y * (z * x))) = L(K(x,z),T(y,z * x),z * x). [hyper(9731,a,10483,a)]. 10485 K(x,((y / z) * z) \ (x \ (y * (z * x)))) = L(K(x,z),T(y,z * x),z * x). [hyper(9065,a,10484,a)]. 10486 L(K(x,y),T(z,y * x),y * x) = K(x,z \ (x \ (z * (y * x)))). [para(16(a,1),10485(a,1,2,1)),flip(a)]. 10487 L(K(x,y),T(z,y * x),y * x) = K(x,L(y,x,z)). [hyper(228,a,8670,a(flip),b,10486,a)]. 10488 K(x,L(y,x,((y * x) * z) / (y * x))) = L(K(x,y),z,y * x). [para(165(a,1),10487(a,1,2)),flip(a)]. 10489 (x * (y * z)) * K(z,L(y,z,x)) = (y * z) * T(x * K(z,y),y * z). [para(10487(a,1),9304(a,1,2))]. 10490 (x * y) * T(z * K(y,x),x * y) = z * (y * x). [hyper(228,a,6344,a(flip),b,10489,a(flip))]. 10491 (x * (y * z)) / (z * y) = x * K(y,z). [hyper(72,a,10490,a(flip),b,113,a(flip))]. 10493 (x / (y * z)) * K(y,z) = x / (z * y). [hyper(228,a,225,a(flip),b,10491,a(flip))]. 10494 (x / y) * K(y / z,z) = x / (z * (y / z)). [para(16(a,1),10493(a,1,1,2))]. 10496 K(x,y / (z * x)) != u | K(x,y / (x * z)) = u. [para(10493(a,1),7129(a,1,2))]. 10497 1 / ((x * ((x / y) \ 1)) / x) = x / (x * (y / x)). [hyper(228,a,9168,a,b,10494,a(flip)),flip(a)]. 10498 (x * ((x / y) \ 1)) / x = (x / (x * (y / x))) \ 1. [para(10497(a,1),64(a,1,1)),flip(a)]. 10499 x / (x * (((y / x) \ 1) \ 1)) = ((x * ((x / y) \ 1)) / x) \ 1. [para(10498(a,2),3114(a,2,1))]. 10500 ((x * ((K(y,x / y) / (x \ y)) \ 1)) / x) \ 1 = x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)). [para(9877(a,2),10499(a,2,1,1,2,1)),flip(a)]. 10501 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(228,a,9038,a(flip),b,9464,a(flip)),flip(a)]. 10502 K(x,R(K(y,R(z,u,w) \ z),z,u * w)) = K(x,K(a(z,u,w),T(y,z * (u * w)))). [para(6909(a,1),9726(a,1,2))]. 10503 K(x,K(R(y,z,u) \ y,R(w,y,z * u))) = K(x,K(a(y,z,u),T(w,y * (z * u)))). [hyper(228,a,8991,a(flip),b,10502,a(flip)),flip(a)]. 10504 T(x * L(K(y,z),u,w),K(y,v5)) = T(x,K(y,v5)) * L(K(y,z),u,w). [para(113(a,1),10001(a,1,1))]. 10505 (K(x,y) * (K(y,z) * u)) * (K(y,x) * K(z,y)) != w | u * K(K(x,y) * K(y,z),u) = w. [para(8943(a,1),10045(a,1))]. 10506 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(10230(a,1),10235(a,1,2,1))]. 10507 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(5004(a,1),10506(a,1,2))]. 10509 K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K(u \ (L(x,y,z) * w),T(x,u)). [hyper(228,a,9511,a(flip),b,10451,a)]. 10511 K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K((L(x,y,z) * w) / u,x). [hyper(228,a,7837,a(flip),b,10509,a)]. 10512 (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(1227(a,1),4131(a,1,1))]. 10513 (R(x,y,z) * (u * x)) \ ((R(x,y,z) * u) * x) = a(x,T(u,x),R(T(x,u),y,z)). [para(1245(a,1),10512(a,1,2))]. 10514 a(x,T(y,x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(663,a,10513,a),flip(a)]. 10515 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(228,a,4222,a,b,10514,a(flip)),flip(a)]. 10516 a(T(x,y),T(T(y,x),x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [para(3921(a,1),10515(a,1,1))]. 10517 a(T(x,y),T(y,x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(228,a,10089,a(flip),b,10516,a(flip)),flip(a)]. 10518 a(x,y,R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(4223,a,10517,a)]. 10519 R(T(x,y),y,R(T(x,y),z,u)) \ T(x,y) = a(R(x,z,u),y,x) \ 1. [para(10518(a,1),10090(a,2,1))]. 10520 a(T(x,y),y,R(T(x,y),z,u)) \ 1 = a(R(x,z,u),y,x) \ 1. [hyper(228,a,10070,a(flip),b,10519,a(flip)),flip(a)]. 10521 a(R(x,y,z),u,x) \ 1 = a(x,u,R(x,y,z)) \ 1. [para(10240(a,1),10520(a,1,1)),flip(a)]. 10523 K((x / y) \ K(y,z),K(y,z) \ (x / y)) = ((y * (x \ K(y,z))) * K(z,y)) * (x / y). [para(4894(a,1),7659(a,1,1,2)),flip(a)]. 10524 K((x / y) \ K(y,z),K(y,z) \ (x / y)) = (y * ((x \ K(y,z)) * K(z,y))) * (x / y). [para(7116(a,1),10523(a,2,1))]. 10525 K((x / y) \ K(y,z),K(y,z) \ (x / y)) = (y * (x \ 1)) * (x / y). [para(4895(a,1),10524(a,2,1,2))]. 10526 K((x / y) \ K(y,z),K(y,z) \ (x / y)) = K(x \ y,y \ x). [hyper(228,a,5939,a(flip),b,10525,a)]. 10528 K(x * (y \ K(x,z)),K(x,z) \ (y / x)) = K(y \ x,x \ y). [para(7658(a,1),10526(a,1,1))]. 10529 K(L(x,y,z),u \ ((1 / x) \ L(K(x,w),v5,v6))) = K(L(x,y,z),(x \ u) \ 1). [hyper(228,a,9986,a(flip),b,8965,a)]. 10530 K(L(x,y,z),u \ ((1 / x) \ L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). [hyper(228,a,5558,a(flip),b,10529,a)]. 10531 K(L(x,y,z),u \ (x * L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). [para(5240(a,1),10530(a,1,2,2))]. 10532 K(x,T(y / ((K(x,z) * u) * w),v5)) = K(x,T(y / (u * w),v5)). [hyper(228,a,9033,a(flip),b,9035,a)]. 10533 K(x,T(y / ((z * T(x,u)) * w),v5)) = K(x,T(y / ((z * x) * w),v5)). [para(8225(a,1),10532(a,1,2,1,2,1))]. 10534 T((x / (1 / (x \ y))) / x,1 / (y / x)) = (((x / (1 / (x \ y))) / x) \ 1) \ 1. [hyper(228,a,9285,a(flip),b,9878,a(flip)),flip(a)]. 10535 T((x / (1 / (x \ y))) / x,1 / (y / x)) = (1 / ((x / ((x \ y) \ 1)) / x)) \ 1. [para(2864(a,2),10534(a,2,1))]. 10536 T((x / (1 / (x \ y))) / x,1 / (y / x)) = (x / ((x \ y) \ 1)) / x. [hyper(228,a,64,a(flip),b,10535,a)]. 10538 (x / ((x \ y) \ 1)) / x = x \ (x / ((y / x) \ 1)). [hyper(228,a,6288,a(flip),b,10536,a(flip))]. 10539 x * ((x / ((x \ y) \ 1)) / x) = x / ((y / x) \ 1). [para(10538(a,2),14(a,1,2))]. 10540 K((x \ 1) \ 1,(y * (L(z,x \ 1,x) / x)) \ u) = K(x,(y * (x \ z)) \ u). [hyper(8419,a,9907,a),flip(a)]. 10541 K(x,(y * (L(z,x \ 1,x) / x)) \ u) = K(x,(y * (x \ z)) \ u). [hyper(4948,a,10540,a)]. 10542 K(x,(y * (x \ L(z,x \ 1,x))) \ u) = K(x,(y * (x \ z)) \ u). [hyper(9742,a,10541,a)]. 10543 K(x,(y * ((x \ 1) * z)) \ u) = K(x,(y * (x \ z)) \ u). [para(396(a,1),10542(a,1,2,1,2))]. 10544 K(x,(y * (x \ z)) \ u) = K(x,(y * z) \ (u * x)). [hyper(228,a,9672,a(flip),b,10543,a(flip))]. 10545 K(x,(y * (z / x)) \ u) = K(x,(y * z) \ (u * x)). [hyper(228,a,8615,a,b,10544,a(flip)),flip(a)]. 10546 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K(x,(z * y) \ (u * x)). [hyper(228,a,8418,a,b,10544,a(flip)),flip(a)]. 10547 K(x,(y * (x \ 1)) \ z) = K(x,y \ (z * x)). [para(12(a,1),10544(a,2,2,1))]. 10548 K(x,((y * K(x \ z,y)) * z) \ (u * x)) = K(x,((x \ z) * y) \ u). [para(4715(a,1),10544(a,1,2,1)),flip(a)]. 10549 (x \ 1) / (x \ K(x,(y * z) \ (u * x))) = K((y * (z / x)) \ u,x). [para(10544(a,1),8609(a,1,2,2))]. 10550 L(K(x,(y * z) \ ((u \ w) * x)),u \ w,u) = K(x,(u * (y * (z / x))) \ w). [para(10544(a,1),8651(a,1,1))]. 10552 K(x,((x \ 1) * y) \ z) = K(x,y \ (z * x)). [hyper(228,a,9449,a,b,10547,a(flip)),flip(a)]. 10553 L(K(x,x * (y \ z)),y \ z,y) = K(x,y \ (z * x)). [hyper(228,a,6371,a,b,10547,a(flip)),flip(a)]. 10554 K(T(x,y),y \ (z * T(x,y))) = K(x,z / ((x \ 1) * y)). [hyper(228,a,9752,a(flip),b,10552,a(flip))]. 10555 K(x,(y * T(x,z)) / z) = K(x,y / ((x \ 1) * z)). [hyper(7976,a,10554,a)]. 10556 K(x,y / ((x \ 1) * z)) = K(x,y / (x \ z)). [hyper(8800,a,10555,a),flip(a)]. 10557 K(x,(((x \ 1) * y) * z) / (x \ z)) = K(T(x,x \ 1),R(y,x \ 1,z)). [hyper(228,a,7853,a(flip),b,10556,a(flip))]. 10558 K(x,(((K(y,x \ z) / y) \ 1) * z) \ (u * x)) = K(x,((x \ z) * y) \ u). [para(4896(a,2),10548(a,1,2,1,1))]. 10559 K((x * (y / z)) \ u,z) = K((x * y) \ (u * z),z). [hyper(5174,a,10549,a),flip(a)]. 10560 K((x * (y \ z)) \ u,y) = K((x * z) \ (u * y),y). [hyper(9586,a,10559,a)]. 10561 K((x * y) \ (z * u),u) != w | K((x * (u \ y)) \ z,u) = w. [para(10559(a,1),9586(a,1))]. 10562 K((x * (y \ 1)) \ z,y) = K(x \ (z * y),y). [para(12(a,1),10560(a,2,1,1))]. 10563 L(K(x * (y \ z),x),y \ z,y) = K(y \ (z * x),x). [hyper(228,a,6384,a,b,10562,a(flip)),flip(a)]. 10564 L(K(x * y,x),y,z) = K(z \ ((z * y) * x),x). [hyper(228,a,6334,a,b,10562,a(flip)),flip(a)]. 10565 K(x,x * y) * K(z \ ((z * y) * x),x) = a(z,y,K(x,x * y)). [para(10564(a,1),9676(a,1,2))]. 10566 K(x,y \ ((y * z) * x)) * a(y,z,K(x,x * z)) = K(x,x * z). [para(10565(a,1),5075(a,1,2))]. 10567 L(K(x,x * y),y,z) = K(x,z \ ((z * y) * x)). [hyper(9695,a,10566,a)]. 10568 L(K(x,y * x),y,z) = K(x,z \ ((z * y) * x)). [para(5433(a,2),10567(a,1,1))]. 10569 L(K(L(x,y,z),y * L(x,y,z)),y,z) = K(L(x,y,z),y * x). [para(209(a,1),10568(a,2,2))]. 10570 L(K(L(x,y,z),y * L(x,y,z)),y,z) = K(x,x * y). [hyper(228,a,6615,a(flip),b,10569,a)]. 10572 K(x,(((x \ 1) * y) * z) / (x \ z)) = K(x,R(y,x \ 1,z)). [hyper(228,a,2861,a(flip),b,10557,a)]. 10573 K(x,(y / (((x \ 1) * z) * y)) \ x) = K(x,R(z,x \ 1,y)). [hyper(8376,a,10572,a)]. 10574 R(K(x,(x \ 1) \ y),y,z) = K(x,(z / (((x \ 1) * ((x \ 1) \ y)) * z)) \ x). [hyper(228,a,9183,a,b,10573,a),flip(a)]. 10575 K(x,((1 / (K(y,x \ z) / y)) * z) \ (u * x)) = K(x,((x \ z) * y) \ u). [hyper(228,a,5392,a,b,10558,a(flip)),flip(a)]. 10576 K(x,(y * (z * (u / x))) \ w) = K(x,(y * (z * u)) \ (w * x)). [hyper(228,a,10546,a(flip),b,10550,a(flip))]. 10577 K(x,(y * (z / x)) \ (u \ (y * (z / x)))) = K(x,(u * (y * z)) \ ((y * (x \ z)) * x)). [hyper(228,a,8653,a(flip),b,10576,a(flip)),flip(a)]. 10578 R(K(x,x * y),y,z) = K(x,(z / (((x \ 1) * ((x \ 1) \ y)) * z)) \ x). [para(5548(a,1),10574(a,1,1))]. 10579 R(K(x,x * y),y,z) = K(x,(z / (y * z)) \ x). [para(14(a,1),10578(a,2,2,1,2,1))]. 10580 K(x,R(y \ 1,y,z) \ x) = R(K(x,x * y),y,z). [hyper(228,a,5577,a,b,10579,a),flip(a)]. 10582 T(x,R(y \ 1,y,z) \ x) = x * R(K(x,x * y),y,z). [para(10580(a,1),4705(a,2,2))]. 10583 K(x,(y * (z * u)) \ ((z * (x \ u)) * x)) = K(x,T(y \ 1,z * (u / x))). [hyper(228,a,8214,a,b,10577,a(flip))]. 10584 K(x,(y * (z * u)) \ ((z * (x \ u)) * x)) = K(x,T(y \ 1,z * u)). [hyper(228,a,9127,a(flip),b,10583,a)]. 10585 K(x,T((y / (z * u)) \ 1,z * u)) = K(x,y \ ((z * (x \ u)) * x)). [para(16(a,1),10584(a,1,2,1)),flip(a)]. 10586 K(x,y \ ((z * (x \ u)) * x)) = K(x,((z * u) \ y) \ 1). [hyper(228,a,7281,a(flip),b,10585,a(flip))]. 10587 K(x,y \ ((z * (x \ u)) * x)) = K(x,y \ (z * u)). [hyper(228,a,5558,a(flip),b,10586,a)]. 10588 K(x,x \ (y * z)) = K(x,y * (x \ z)). [hyper(4942,a,10587,a),flip(a)]. 10589 K(x,y \ ((x \ y) * z)) = K(x,x \ z). [hyper(228,a,8417,a(flip),b,10587,a(flip))]. 10590 K(x,x \ (y * (x * z))) = K(x,y * z). [para(13(a,1),10588(a,2,2,2))]. 10591 K(x \ 1,y * ((x \ 1) \ z)) != u | K(x \ 1,(y * z) * x) = u. [para(10588(a,1),6174(a,1))]. 10592 L(K(x,x \ y),y,x \ z) = K(x,x \ y). [hyper(8752,a,10589,a)]. 10593 K(x,x \ (y * (z * x))) = K(x,y * z). [hyper(228,a,8630,a,b,10590,a(flip)),flip(a)]. 10594 K(x,K(y,z * (u * y))) = K(x,K(y,z * u)). [para(10593(a,1),7807(a,1,2)),flip(a)]. 10595 L(K(x,x \ y),y,z) = K(x,x \ y). [para(13(a,1),10592(a,1,3))]. 10596 K(x,y \ (x \ (y * z))) = K(x,x \ z). [hyper(8351,a,10595,a)]. 10597 K(x,(y * x) \ z) = K(x,x \ (y \ z)). [hyper(6781,a,10595,a)]. 10598 a(x,y,K(z \ y,z)) = 1. [hyper(70,a,10595,a(flip),b,9681,a),flip(a)]. 10599 L(K(x \ y,x),y,z) = K(x \ y,x). [hyper(33,a,10598,a)]. 10600 K(x \ (y \ (x * z)),y) = K(y \ z,y). [hyper(8359,a,10599,a)]. 10602 K(x,y \ (x \ z)) = K(x,x \ (y \ z)). [para(14(a,1),10596(a,1,2,2,2))]. 10603 K(x,x \ ((y \ 1) \ z)) = K(x,(x \ y) * z). [hyper(6363,a,10597,a),flip(a)]. 10605 K(x \ (y \ z),y) = K(y \ (x \ z),y). [para(14(a,1),10600(a,1,1,2,2))]. 10606 (x * y) * K(z \ y,z) = x * ((z \ y) * z). [para(10600(a,1),8447(a,1,2))]. 10607 K(x,x \ ((1 / y) \ z)) = K(x,y * (x \ z)). [hyper(6171,a,10602,a),flip(a)]. 10608 K(x,x \ ((y \ 1) \ z)) = K(x,y * (x \ z)). [hyper(6168,a,10602,a),flip(a)]. 10609 K(x,(y \ z) \ (x \ 1)) = K(x,x \ (z \ y)). [hyper(228,a,9207,a,b,10602,a(flip)),flip(a)]. 10610 K(x,x \ ((y * (x \ z)) \ u)) = K(x,(y * z) \ u). [hyper(228,a,8660,a(flip),b,10602,a(flip))]. 10612 K(x \ ((x \ y) \ z),x) = K(y \ z,x). [hyper(228,a,7476,a(flip),b,10605,a(flip))]. 10613 K(L(x,y,z) \ ((x \ (L(x,y,z) \ u)) \ w),L(x,y,z)) = K((x \ u) \ w,L(x,y,z)). [para(1373(a,1),10612(a,1,1,2,1))]. 10615 K(L(x,y,z) \ ((x \ (1 / L(x,y,z))) \ u),L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). [para(6494(a,1),10612(a,1,1,2,1))]. 10616 K(x,K(y / z,u * z)) = K(x,K(y / z,u * y)). [para(7533(a,1),10594(a,1,2)),flip(a)]. 10617 R(x,y,K(z \ y,z)) = x. [hyper(775,a,10606,a)]. 10619 R(x,y / z,z) = R(x,z \ y,z). [hyper(228,a,10299,a(flip),b,10617,a(flip))]. 10620 R(x,y * z,K(z,y)) = x. [para(13(a,1),10617(a,1,3,1))]. 10621 R(x,y,T(z,y)) = R(x,y,z). [hyper(6802,a,10620,a)]. 10622 (x * (y * z)) * K(z,y) = x * (z * y). [para(10620(a,1),486(a,1,1)),flip(a)]. 10628 R(x,y,K(z,T(u,y))) = R(x,y,K(z,u)). [para(7152(a,2),10621(a,1,3))]. 10630 R(K(x,(y / (z / u)) \ x),u \ z,u) = K(x,z / ((x \ y) * u)). [hyper(228,a,8373,a(flip),b,10619,a(flip))]. 10631 R(K(x,(y / z) / u),z \ y,z) = K(x,y / (u * z)). [hyper(228,a,6937,a(flip),b,10619,a(flip))]. 10633 K(x,L(y,x,z)) = K(x,y). [hyper(6345,a,10622,a)]. 10634 K(x,y) * (z * (y * x)) != u | T(z * (x * y),K(x,y)) = u. [para(10622(a,1),7959(a,1,2))]. 10635 K(L(x,y,z),y) = K(x,y). [hyper(8958,a,10633,a)]. 10638 L(K(x,y),z,y * x) = K(x,y). [hyper(228,a,10488,a(flip),b,10633,a(flip)),flip(a)]. 10640 T(x,L(y,x,z)) = (u * (K(y,x) * K(x,w))) \ (u * T(x,w)). [para(10633(a,1),8939(a,1,1,2,1)),flip(a)]. 10641 L(K(x,y),T(y,z) * u,w) = K(L(x,y,v5),L(y,u,w)). [para(10633(a,1),10006(a,1,1))]. 10644 K((x * (y * z)) \ ((x * y) * u),L(z,y,x)) = K(L(z,y,x) \ u,L(z,y,x)). [para(469(a,1),10635(a,1,1))]. 10646 K(x,y) * ((y * x) * z) = (y * x) * (K(x,y) * z). [para(10638(a,1),9923(a,1,1))]. 10647 K(x,(x \ y) * z) = K(x,y * (x \ z)). [hyper(228,a,10603,a(flip),b,10608,a(flip)),flip(a)]. 10648 K(x,x \ (y * z)) = K(x,(x \ y) * z). [hyper(228,a,10588,a,b,10647,a),flip(a)]. 10649 K(T(x,y),(y \ 1) * (T(x,y) \ z)) = K(T(x,y),(y \ (x \ 1)) * z). [para(429(a,1),10647(a,1,2,1)),flip(a)]. 10650 K(T(1 / x,y),(1 / y) * (T(1 / x,y) \ z)) = K(T(1 / x,y),((1 / (1 / y)) \ x) * z). [para(2382(a,1),10647(a,1,2,1)),flip(a)]. 10651 K(x,x \ (y * (z \ 1))) = K(x,(x \ y) / z). [hyper(228,a,5415,a(flip),b,10648,a)]. 10652 K(L(x,y,z),x \ ((u * (x \ w)) \ v5)) = L(K(x,(u * w) \ v5),y * x,z). [para(10610(a,1),6341(a,1,1)),flip(a)]. 10653 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(6494(a,1),10610(a,1,2,2,1,2))]. 10655 K(L(x,y,z),L(y,u,w)) = K(x,L(y,u,w)). [hyper(228,a,10004,a(flip),b,10641,a(flip))]. 10658 K(x \ (y \ (x * z)),L(y,u,w)) = K(y \ z,L(y,u,w)). [hyper(228,a,9896,a(flip),b,10655,a(flip)),flip(a)]. 10659 K(((x / y) \ z) / y,L(y,u,w)) = K((y * (x \ z)) / y,L(y,u,w)). [para(898(a,1),10655(a,1,1)),flip(a)]. 10661 T(x,L(y,x,z)) = T(x,y). [hyper(228,a,8921,a(flip),b,10640,a)]. 10666 T(x,y \ (x \ (y * z))) = T(x,x \ z). [hyper(228,a,8203,a(flip),b,10661,a(flip)),flip(a)]. 10667 L(x,y,z) * T(y,x) = y * L(x,y,z). [para(10661(a,1),113(a,1,2))]. 10668 T(L(x,y,z),(z * (y * x)) \ ((z * y) * u)) = T(L(x,y,z),L(x,y,z) \ u). [para(469(a,1),10661(a,1,2))]. 10669 L(x,y,z) = (z * T(y,x)) \ (z * (T(y,x) * x)). [para(10661(a,1),6818(a,1,1,2)),flip(a)]. 10672 ((x * T(y,x)) * L(x,y,z)) \ (x * (y * L(x,y,z))) = K(L(x,y,z),x * T(y,x)). [para(10667(a,1),1366(a,1,2,2))]. 10673 L(x,T(y,x),z) = L(x,y,z). [hyper(228,a,28,a,b,10669,a),flip(a)]. 10675 L(x,y / x,z) = L(x,x \ y,z). [para(115(a,1),10673(a,1,2)),flip(a)]. 10679 L(x,x \ (y \ z),y) = (y * ((y \ z) / x)) \ z. [hyper(228,a,529,a(flip),b,10675,a(flip))]. 10680 K(L(x,x \ y,z),u) != w | L(K(x,u),y,z) = w. [para(10675(a,1),6386(a,1,1))]. 10681 K(T(x,y),(y \ 1) * (T(x,y) \ z)) = K(T(x,y),(x * y) \ z). [hyper(228,a,5545,a(flip),b,10649,a)]. 10682 K(T(x,y),(y \ 1) * (T(x,y) \ z)) = K(x,T((x * y) \ z,y)). [hyper(228,a,7202,a(flip),b,10681,a)]. 10683 K(((x / y) \ z) / y,L(y,u,w)) = K(y \ (y * (x \ z)),L(y,u,w)). [hyper(228,a,7332,a(flip),b,10659,a)]. 10684 K(((x / y) \ z) / y,L(y,u,w)) = K(x \ z,L(y,u,w)). [hyper(228,a,644,a(flip),b,10683,a)]. 10685 K(x \ ((y / x) \ z),L(x,u,w)) = K(y \ z,L(x,u,w)). [hyper(7654,a,10684,a)]. 10687 K(x \ ((x \ y) \ z),L(x,u,w)) = K(y \ z,L(x,u,w)). [hyper(10105,a,10685,a)]. 10688 K(L(x,y,z),x \ ((u * (x \ w)) \ v5)) != v6 | K(L(x,y,z),(u * w) \ v5) = v6. [para(10652(a,2),6346(a,1))]. 10689 K((x * y) \ (z \ ((x * y) * u)),L(z,y,x)) = K(L(z,y,x) \ u,L(z,y,x)). [hyper(10129,a,10644,a)]. 10690 L(T(x,(y * (z * x)) \ ((y * z) * u)),z,y) = T(L(x,z,y),L(x,z,y) \ u). [hyper(228,a,40,a,b,10668,a(flip)),flip(a)]. 10691 K(L(x,y,z) \ u,L(x,y,z)) = K(x \ u,L(x,y,z)). [hyper(228,a,10658,a(flip),b,10689,a(flip))]. 10693 L(T(x,(y * z) \ (x \ ((y * z) * u))),z,y) = T(L(x,z,y),L(x,z,y) \ u). [para(9396(a,1),10690(a,1,1))]. 10694 T(L(x,y,z),L(x,y,z) \ u) = L(T(x,x \ u),y,z). [para(10666(a,1),10693(a,1,1)),flip(a)]. 10695 x / L(T(y,y \ x),z,u) = L(y,z,u) \ x. [para(10694(a,1),199(a,1,2))]. 10696 (L(x,y,z) \ u) / (L(T(x,x \ w),y,z) \ u) = K(L(x,y,z),L(x,y,z) \ w). [para(10694(a,1),5025(a,1,2,1))]. 10698 (x * y) / L(T(x,y),z,u) = L(x,z,u) \ (x * y). [para(13(a,1),10695(a,1,2,1,2))]. 10701 K(L(x,y,z),L(x,y,z) \ u) = K(L(x,y,z),x \ u). [hyper(228,a,5173,a(flip),b,10696,a(flip))]. 10702 ((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),10672(a,1,1,1))]. 10703 K(L(x,y,z),x * T(y,x)) = K(x,y * L(x,y,z)). [hyper(1544,a,10702,a),flip(a)]. 10704 K(L(x,y,z),y * x) = K(x,y * L(x,y,z)). [para(113(a,1),10703(a,1,2))]. 10705 K(x,y * L(x,y,z)) = K(x,x * y). [hyper(6616,a,10704,a),flip(a)]. 10707 L(K(x,x * y),z * x,u) = K(L(x,z,u),y * L(x,y,w)). [para(10705(a,1),6341(a,1,1))]. 10708 K(L(x,y,z),u * L(x,u,w)) = K(L(x,y,z),x * u). [hyper(6346,a,10707,a),flip(a)]. 10709 L(K(L(x,y,z),x * y),y,z) = K(x,x * y). [para(10708(a,1),10570(a,1,1))]. 10710 L(K(x,x * y),y,z) = K(x,x * y). [para(8840(a,1),10709(a,1,1))]. 10712 K(x,(y * (x \ 1)) \ z) = K(x,x * (y \ z)). [hyper(6784,a,10710,a)]. 10713 K(x,y \ (z * x)) = K(x,x * (y \ z)). [hyper(228,a,10553,a(flip),b,10710,a(flip)),flip(a)]. 10714 1 / L(K(x,x * y),y,z) = K(x * y,x). [para(10710(a,2),4894(a,1,2))]. 10716 K(x,y \ (x * z)) = K(x,x * (y \ z)). [hyper(9606,a,10713,a)]. 10717 K(x,x * ((y * z) \ y)) = K(x,z \ x). [hyper(6302,a,10713,a),flip(a)]. 10719 K(x,(y * (z / x)) \ u) = K(x,x * ((y * z) \ u)). [hyper(228,a,10545,a,b,10713,a(flip)),flip(a)]. 10721 K(x,y * (L(y,z,u) \ x)) = K(x,x * (L(y,z,u) \ y)). [para(1363(a,1),10713(a,1,2))]. 10723 L(K(x,x * (y \ z)),u * x,w) = K(L(x,u,w),y \ (z * x)). [para(10713(a,1),6341(a,1,1))]. 10724 L(K(x * y,x),y,z) = K(x * y,x). [hyper(6241,a,10714,a)]. 10725 1 / ((x * (y \ T(y * z,y))) \ (x * z)) = K(y * z,y). [para(6442(a,2),10714(a,1,2))]. 10726 K(x \ (y * z),z) = K(z * (x \ y),z). [hyper(228,a,10563,a(flip),b,10724,a(flip)),flip(a)]. 10727 K((x * (y \ z)) \ u,y) = K(y * ((x * z) \ u),y). [hyper(10561,a,10726,a)]. 10728 K((x / y) \ z,y) = K(y * (x \ z),y). [hyper(8352,a,10726,a)]. 10729 K((x \ y) \ z,x) = K(x * (y \ z),x). [hyper(8328,a,10726,a)]. 10730 K(x * ((y * x) \ z),x) = K(y \ z,x). [hyper(8327,a,10726,a),flip(a)]. 10731 K((x \ y) \ z,z) = K(z * (y \ x),z). [hyper(6614,a,10726,a)]. 10733 K(x * (y \ (x \ z)),x) = K(y \ z,x). [hyper(228,a,7585,a(flip),b,10726,a(flip))]. 10734 L(x * K(x * (y \ z),x),u,w) / L(x,u,w) = K(y \ (z * x),L(x,u,w)). [para(10726(a,1),5829(a,1,1,1,2))]. 10736 T(x,(y * (x \ 1)) \ z) = x * K(x,x * (y \ z)). [para(10712(a,1),4705(a,2,2))]. 10737 L(x * K(x * ((y * z) \ u),x),w,v5) \ L(x,w,v5) = K(L(x,w,v5),(y * (x \ z)) \ u). [para(10727(a,1),5830(a,1,1,1,2))]. 10738 T(x,(y * (x \ 1)) \ z) = T(x,x * (y \ z)). [hyper(228,a,4705,a,b,10736,a)]. 10739 T(x,y \ (x * z)) = T(x,x * (y \ z)). [hyper(228,a,10435,a(flip),b,10738,a(flip)),flip(a)]. 10740 T(x,y \ (z * x)) = T(x,x * (y \ z)). [hyper(228,a,8397,a,b,10739,a(flip)),flip(a)]. 10741 T(x,x * (y \ z)) * K(y \ z,x) = L(x,(z \ y) \ 1,x). [para(10740(a,1),6483(a,1,1))]. 10742 T(K(x * y,T(x,z)),z) = 1 / ((u * (x \ T(x * y,x))) \ (u * y)). [hyper(228,a,7819,a,b,10725,a),flip(a)]. 10743 L(x,(y \ z) \ 1,x) = L(x,z \ y,x). [hyper(5323,a,10741,a),flip(a)]. 10744 L(x,(y / z) \ 1,x) = L(x,y \ z,x). [hyper(228,a,10400,a,b,10743,a(flip)),flip(a)]. 10745 L(x,y * (y \ ((z / u) \ 1)),x) = L(x,z \ u,x). [para(14(a,2),10744(a,1,2))]. 10746 K(L(x,y,z),u \ (w * x)) = K(L(x,y,z),x * (u \ w)). [hyper(6346,a,10723,a),flip(a)]. 10747 K(L(x,y,z),u \ (x * w)) = K(L(x,y,z),x * (u \ w)). [hyper(9660,a,10746,a)]. 10748 K(L(x,y,z),x * (u \ L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). [hyper(228,a,10531,a(flip),b,10747,a(flip))]. 10749 T(K(x,K(y,z)) * K(y * z,y),x) = 1 / ((u * (y \ T(y * z,y))) \ (u * z)). [para(7809(a,2),10742(a,1,1))]. 10750 K(x \ (y * z),L(z,u,w)) = K(z * (x \ y),L(z,u,w)). [hyper(228,a,5829,a(flip),b,10734,a(flip))]. 10751 K((x \ y) \ z,L(z,u,w)) = K(z * (y \ x),L(z,u,w)). [hyper(228,a,6645,a,b,10750,a(flip)),flip(a)]. 10752 1 / ((x * (y \ T(y * z,y))) \ (x * z)) = K(u,K(y,z)) * K(y * z,T(y,u)). [hyper(8357,a,10749,a),flip(a)]. 10754 K(x \ ((x \ (L(x,y,z) \ u)) \ w),L(x,y,z)) = K((x \ u) \ w,L(x,y,z)). [hyper(228,a,10691,a(flip),b,10613,a(flip)),flip(a)]. 10755 K((L(x,y,z) \ u) \ w,L(x,y,z)) = K((x \ u) \ w,L(x,y,z)). [hyper(228,a,10687,a(flip),b,10754,a(flip)),flip(a)]. 10756 K(L(x,y,z) * (u \ w),L(x,y,z)) = K((x \ u) \ w,L(x,y,z)). [hyper(228,a,10729,a(flip),b,10755,a(flip)),flip(a)]. 10757 K(L(x,y,z) * (u \ w),L(x,y,z)) = K(u \ (x * w),L(x,y,z)). [hyper(228,a,9890,a(flip),b,10756,a)]. 10758 K((x \ y) * L(z,u,w),L(z,u,w)) = K(x \ (z * y),L(z,u,w)). [hyper(7391,a,10757,a)]. 10759 K(x \ ((x \ (1 / L(x,y,z))) \ u),L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). [hyper(228,a,10691,a(flip),b,10615,a(flip)),flip(a)]. 10760 K((1 / L(x,y,z)) \ u,L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). [hyper(228,a,10687,a(flip),b,10759,a(flip)),flip(a)]. 10761 K(L(x,y,z) * u,L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). [hyper(228,a,5634,a(flip),b,10760,a(flip)),flip(a)]. 10762 K(x * L(y,z,u),L(y,z,u)) = K((1 / y) \ x,L(y,z,u)). [hyper(7391,a,10761,a)]. 10763 K(x * L(y,z,u),L(y,z,u)) = K(1 \ (x * y),L(y,z,u)). [hyper(228,a,9658,a(flip),b,10762,a)]. 10764 K(x * L(y,z,u),L(y,z,u)) = K(x * y,L(y,z,u)). [para(51(a,1),10763(a,2,1))]. 10765 K(x \ (y * z),L(y,u,w)) = K((x \ z) * y,L(y,u,w)). [hyper(228,a,10758,a(flip),b,10764,a(flip)),flip(a)]. 10766 K((x \ y) \ z,L(x,u,w)) = K((y \ z) * x,L(x,u,w)). [hyper(228,a,9890,a,b,10765,a(flip)),flip(a)]. 10767 K(x \ (y * z),L(z,u,w)) = K((x \ y) * z,L(z,u,w)). [hyper(228,a,9662,a,b,10765,a(flip)),flip(a)]. 10768 K(((x \ y) \ z) * u,L(u,z,x)) = K(y \ (x * (u * z)),u). [hyper(228,a,8955,a(flip),b,10765,a(flip))]. 10769 K((x / y) \ z,L(y,u,w)) = K((x \ z) * y,L(y,u,w)). [hyper(228,a,9658,a,b,10767,a(flip)),flip(a)]. 10770 K(L(x,y,z),(u * (x \ w)) \ v5) = K(L(x,y,z),x * ((u * w) \ v5)). [hyper(6351,a,10737,a),flip(a)]. 10772 ((K(R(x,y,x),z) / R(x,y,x)) * x) \ x = R(x,y,x) * K(z,R(x,y,x)). [para(4039(a,1),9936(a,1,2))]. 10773 ((K(R(x,y,x),z) / R(x,y,x)) * x) \ x = R(x * K(z,x),y,x). [hyper(228,a,5822,a(flip),b,10772,a)]. 10774 ((K(x,y) / R(x,z,x)) * x) \ x = R(x * K(y,x),z,x). [para(7022(a,1),10773(a,1,1,1,1))]. 10775 (R(x,y,x) \ T(x,z)) \ x = R(x * K(z,x),y,x). [para(6110(a,1),10774(a,1,1))]. 10777 (x \ L(T(x,y),z,x)) \ x = R(x * K(y,x),z,x). [para(9295(a,1),10775(a,1,1))]. 10778 K(T(1 / x,y),(1 / y) * (T(1 / x,y) \ z)) = K(T(1 / x,y),(((1 \ 1) \ y) \ x) * z). [hyper(228,a,6685,a(flip),b,10650,a)]. 10779 K(T(1 / x,y),(1 / y) * (T(1 / x,y) \ z)) = K(T(1 / x,y),(y \ x) * z). [para(126(a,1),10778(a,2,2,1,1))]. 10780 K(T(1 / x,y),(1 / y) * (T(1 / x,y) \ z)) = K(1 / x,T((y \ x) * z,y)). [hyper(228,a,7202,a(flip),b,10779,a)]. 10781 K(T(1 / x,y),(1 / y) * (T(1 / x,y) \ z)) = K(x \ 1,T((y \ x) * z,y)). [hyper(228,a,2853,a(flip),b,10780,a)]. 10782 (x * (K(y,y \ 1) * (z * u))) \ ((K(y,y \ 1) * (x * z)) * u) = a(x,K(y,y \ 1) * z,u). [para(3430(a,1),4438(a,1,1,2))]. 10783 ((x * (K(y,y \ 1) * (z * u))) \ ((x * z) * u)) * K(y,y \ 1) = a(x,z,K(y,y \ 1) * u). [para(4406(a,2),4547(a,1,1,1,2))]. 10784 K(x,(y * z) / (y * (u \ z))) * (y * ((u \ z) * T(T(u,u \ z),x))) = y * z. [para(450(a,1),5480(a,1,2))]. 10785 K(x,(y * z) / (y * (u \ z))) * (y * (T(u,x) * (u \ z))) = y * z. [para(182(a,1),10784(a,1,2,2))]. 10786 K(x,(y * z) / (y * (u \ z))) * (y * (K(u,x) * z)) = y * z. [para(4676(a,1),10785(a,1,2,2))]. 10787 K(x,(y * z) / (y * (u \ z))) = (y * z) / (y * (K(u,x) * z)). [hyper(85,a,10786,a),flip(a)]. 10788 K(x,y) * (R(y,z,u) * (K(y,x) * w)) = R(y,z,u) * w. [para(1222(a,1),10786(a,1,1,2))]. 10789 R(K(x,y),z * (K(u,y) * w),v5) = R(K(x,y),z * w,v5). [para(10786(a,1),8790(a,1,2)),flip(a)]. 10790 K(x,y / ((z * (K(u,x) * w)) * v5)) = K(x,y / ((z * w) * v5)). [para(10786(a,1),8818(a,1,2,2,1)),flip(a)]. 10791 R(K(x,y),z * (K(u,x) * w),v5) = R(K(x,y),z * w,v5). [para(10786(a,1),9195(a,1,2)),flip(a)]. 10792 K(x,y) * (R(T(y,z),u,w) * (K(T(y,z),T(x,z)) * v5)) = R(T(y,z),u,w) * v5. [para(7829(a,1),10788(a,1,1))]. 10793 R(K(x,y),z * x,u) = K(R(x,K(w,y) * z,u),y). [hyper(228,a,10325,a(flip),b,10789,a(flip))]. 10795 K(R(x,K(y,z) * u,w),z) = K(R(x,u,w),z). [hyper(228,a,9138,a(flip),b,10793,a(flip))]. 10796 R(K(x,y),z * x,u) != w | K(R(x,z,u),y) = w. [para(10793(a,2),9191(a,1))]. 10797 T(x,R(y,K(z,x) * u,w)) = 1 / (x \ K(R(y,u,w),x)). [para(10795(a,1),4806(a,2,2,2))]. 10798 K(x,R(y,x,z)) != u | K(R(x,y,z),y) = u. [para(6923(a,1),10796(a,1))]. 10799 R(K(x,y),z * (u * K(w,x)),v5) = R(K(x,y),z * u,v5). [para(7326(a,1),10791(a,1,2,2))]. 10800 T(x,R(y,K(z,x) * u,w)) != v5 | T(x,R(y,u,w)) = v5. [para(10797(a,2),4807(a,1))]. 10801 R(K(x,y),z * y,u) = K(x,R(y * K(w,x),z,u)). [hyper(9189,a,10799,a),flip(a)]. 10802 K(x,R(y * K(z,x),u,w)) = K(x,R(y,u,w)). [hyper(9188,a,10801,a),flip(a)]. 10803 K(x,R(y * K(x,z),u,w)) = K(x,R(y,u,w)). [para(5062(a,1),10802(a,1,2,1)),flip(a)]. 10804 K(x,R(K(y,x) * z,u,w)) = K(x,R(z * K(y,x),u,w)). [para(7695(a,1),10803(a,1,2,1)),flip(a)]. 10805 K(x,R(K(y,x) * z,u,w)) = K(x,R(z,K(y,x) * u,w)). [hyper(228,a,10328,a(flip),b,10804,a)]. 10806 x * K(x,R(y,K(z,x) * u,w)) = T(x,R(K(z,x) * y,u,w)). [para(10805(a,1),4705(a,2,2)),flip(a)]. 10807 K((x * y) / (x * (z \ y)),u) = K(z,(x * y) / (x * (u \ y))). [hyper(228,a,9668,a,b,10787,a),flip(a)]. 10808 T(x,R(K(y,x) * z,u,w)) = T(x,R(z,K(y,x) * u,w)). [hyper(4708,a,10806,a),flip(a)]. 10809 T(x,R(x \ y,K(z,x) * u,w)) = T(x,R(T(x,z) \ y,u,w)). [para(5004(a,1),10808(a,1,2,1)),flip(a)]. 10810 K(x,(y * z) / (y * (u \ z))) = (y * (K(x,u) * z)) / (y * z). [hyper(228,a,6526,a(flip),b,10807,a(flip))]. 10811 T(x,R(T(x,y) \ z,u,w)) = T(x,R(x \ z,u,w)). [hyper(10800,a,10809,a),flip(a)]. 10813 T(x,R(y / T(x,z),u,w)) = T(x,R(x \ y,u,w)). [hyper(5318,a,10811,a)]. 10814 K(x,((y * x) * z) / ((y * x) * (y \ z))) != u | L(K(x,y),z,y * x) = u. [para(10810(a,2),9925(a,1))]. 10815 K(x,y) * (R(T(y,z),u,w) * (K(y,x) * v5)) = R(T(y,z),u,w) * v5. [para(7829(a,1),10792(a,1,2,2,1))]. 10817 (x \ T(x * y,x)) \ (y * K(x,K(z,x * y))) = L(T(K(x * y,x),z) \ 1,K(x * y,x),y). [para(7728(a,1),6056(a,1,2,2))]. 10818 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(7728(a,1),8286(a,1,1,2))]. 10819 L(K(x,(y \ 1) \ (z \ u)),z \ u,z) = K(x,(z * ((((y \ x) / x) * y) * (1 / y))) \ u). [para(8668(a,1),9432(a,1,1))]. 10820 K(x,(y * ((((z \ x) / x) * z) * (1 / z))) \ u) = K(x,(y * (z \ 1)) \ u). [hyper(6781,a,10819,a),flip(a)]. 10821 K(x,(y * ((z \ x) / x)) \ u) = K(x,(y * (z \ 1)) \ u). [para(1828(a,1),10820(a,1,2,1,2))]. 10822 K(x,(y * (z \ x)) \ (u * x)) = K(x,(y * (z \ 1)) \ u). [hyper(228,a,10545,a(flip),b,10821,a(flip)),flip(a)]. 10823 K(x,(y * ((z \ x) \ 1)) \ u) = K(x,(y * z) \ (u * x)). [hyper(228,a,6758,a(flip),b,10822,a(flip))]. 10824 K(x,((1 / (K(y,(z \ x) \ 1) / y)) * z) \ (u * x)) = K(x,(((z \ x) \ 1) * (1 / (1 / y))) \ u). [para(5825(a,1),10823(a,1,2,1)),flip(a)]. 10825 L(K(x,y),z,u) * L(L(K(y,x),z,u),w,v5) = a(v5,w,K(L(x \ 1,z,u) \ 1,y)). [para(6107(a,1),9711(a,1,2))]. 10826 L(K(x,y),z,u) * L(L(K(y,x),z,u),w,v5) = a(v5,w,L(K(x,y),z,u)). [para(6132(a,1),10825(a,2,3))]. 10827 L(a((x \ y) \ y,z,(x \ y) \ y),u,(x \ y) \ y) = y \ (R(x,z,x) * (x \ y)). [para(7052(a,1),9843(a,2,2,1))]. 10829 L(a((x \ y) \ y,z,(x \ y) \ y),u,(x \ y) \ y) = y \ (y * a(x,z,x)). [para(9821(a,1),10827(a,2,2))]. 10830 L(a((x \ y) \ y,z,(x \ y) \ y),u,(x \ y) \ y) = a(x,z,x). [hyper(228,a,13,a(flip),b,10829,a)]. 10831 a((x \ y) \ y,z,(x \ y) \ y) = a(x,z,x). [hyper(4165,a,10830,a),flip(a)]. 10833 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(5722,a,10507,a)]. 10834 (x * (K(y,y \ 1) * (z * u))) \ (K(y,y \ 1) * ((x * z) * u)) = a(x,K(y,y \ 1) * z,u). [para(3430(a,1),10782(a,1,2))]. 10835 (((x * (y * z)) \ ((x * y) * z)) * K(u \ 1,u)) * K(u,u \ 1) = a(x,y,K(u,u \ 1) * z). [para(4444(a,1),10783(a,1,1))]. 10836 (x \ T(x * y,x)) \ (y * K(x,K(z,x * y))) = L(K(x * y,T(x,z)) \ 1,K(x * y,x),y). [para(7152(a,2),10817(a,2,1,1))]. 10837 L(K(x * y,x) * K(x,K(z * y,y)),y,z) = (z * (T(x * y,x) / T(x,y))) / (z * y). [para(7866(a,1),10818(a,1,1,2))]. 10838 L(K(x * y,x) * K(x,K(y * z,y)),y,z) = (z * (T(x * y,x) / T(x,y))) / (z * y). [para(5647(a,1),10837(a,1,1,2,2))]. 10839 L(K(x * y,x) * K(x,K(y,y * z)),y,z) = (z * (T(x * y,x) / T(x,y))) / (z * y). [para(7741(a,1),10838(a,1,1,2))]. 10840 (x * (T(y * z,y) / T(y,z))) / (x * z) = L(K(y * z,y) * K(y,K(z,x)),z,x). [para(7781(a,1),10839(a,1,1,2)),flip(a)]. 10841 L(K(x * y,x) * K(x,K(y,z)),y,z) = (z * (x \ T(x * y,x))) / (z * y). [para(7483(a,1),10840(a,1,1,2)),flip(a)]. 10842 (x * (y \ T(y * z,y))) / (x * z) = L(K(y * z,T(y,x)),z,x). [para(8008(a,1),10841(a,1,1)),flip(a)]. 10843 L(K(x * y,T(x,z)),y,z) = K((z * y) / (z * (x \ 1)),x). [hyper(6772,a,10842,a),flip(a)]. 10844 K(x,T(y,z)) * (K(y * R(x,u,w),T(x,z)) * v5) = R(T(x,z),y,R(x,u,w)) * (T(x,z) \ v5). [hyper(8311,a,10833,a)]. 10845 ((x * (K(y,y \ 1) * (z * u))) \ ((x * z) * u)) * K(y,y \ 1) = a(x,K(y,y \ 1) * z,u). [hyper(4447,a,10834,a)]. 10846 (a(x,y,z) * K(u \ 1,u)) * K(u,u \ 1) = a(x,y,K(u,u \ 1) * z). [para(24(a,2),10835(a,1,1,1))]. 10847 a(x,y,K(z,z \ 1) * u) = a(x,y,u). [hyper(5065,a,10846,a)]. 10849 ((x * (y * (K(z,z \ 1) * u))) \ ((x * y) * u)) * K(z,z \ 1) = a(x,y,u). [hyper(228,a,4547,a,b,10847,a(flip)),flip(a)]. 10850 a(x,y,1 / z) = a(x,y,z \ 1). [para(1872(a,1),10847(a,1,3))]. 10851 a(x,y,z * K(u \ 1,u)) = a(x,y,z). [para(2923(a,1),10847(a,1,3)),flip(a)]. 10852 a(x,y,z * (u * (1 / w))) = a(x,y,z * (u * (w \ 1))). [para(4440(a,1),10847(a,1,3))]. 10853 a(x,y,K(z,u) \ 1) = a(x,y,K(u,z)). [para(4894(a,1),10850(a,1,3)),flip(a)]. 10854 L(a(x,y,z),u,K(w \ 1,w)) = a(x,y,z * K(v5 \ 1,v5)). [hyper(228,a,3434,a,b,10851,a),flip(a)]. 10855 a(x,y,z * K(u \ w,w \ u)) = a(x,y,z). [para(2786(a,1),10851(a,1,3,2))]. 10856 a(x,y,K(K(z,u),w)) = a(x,y,K(u,K(w,z))). [para(7702(a,1),10853(a,1,3)),flip(a)]. 10857 a(x,y,z * K(u \ 1,u)) != w | a(x,y,z) = w. [para(10854(a,1),334(a,1)),flip(b)]. 10858 a(x,y,z * K(u \ w,w \ u)) != v5 | a(x,y,z) = v5. [para(2786(a,1),10857(a,1,3,2))]. 10859 a(x,y,z \ K(u \ w,w \ u)) != v5 | a(x,y,z \ 1) = v5. [para(5131(a,1),10858(a,1,3))]. 10860 a(x,y,K(z \ u,u \ z) / w) != v5 | a(x,y,w \ 1) = v5. [para(6877(a,1),10859(a,1,3))]. 10862 ((x * (y * (z * K(u,u \ 1)))) \ ((x * y) * z)) * K(u,u \ 1) = a(x,y,z). [para(2341(a,1),10849(a,1,1,1,2,2))]. 10863 (x \ T(x * y,x)) \ (y * K(x,K(z,x * y))) = L(K(x,T(x * y,z)),K(x * y,x),y). [para(7209(a,1),10836(a,2,1))]. 10864 (x \ T(x * y,x)) \ (y * K(x,K(z,x * y))) = K(x,T(x * y,z)). [hyper(228,a,8936,a(flip),b,10863,a)]. 10867 K(x,T(y / z,y) \ y) \ (K(x,z) * K(y,K(u,y * K(x,z)))) = K(y,T(y * K(x,z),u)). [para(6745(a,2),10864(a,1,1))]. 10868 K(x,T(y / z,y) \ y) \ (K(x,z) * 1) = K(y,T(y * K(x,z),x)). [para(7130(a,1),10867(a,1,2,2))]. 10869 K(x,T(y / z,y) \ y) \ K(x,z) = K(y,T(y * K(x,z),x)). [para(12(a,1),10868(a,1,2))]. 10870 K(T(x / y,x) \ x,z) * K(z,y) = K(x,T(x * K(z,y),z)). [hyper(5072,a,10869,a)]. 10871 K(x,T(y / z,y) \ y) * K(z,x) = K(y,T(y * K(z,x),z)). [para(6746(a,1),10870(a,1,1))]. 10872 K(x,T(y / z,y) \ y) * K(z,x) = K(y,y * K(z,x)). [hyper(228,a,7582,a(flip),b,10871,a)]. 10873 K(x * K(y,z),x) = K(x,x * K(z,y)). [hyper(228,a,6748,a(flip),b,10872,a(flip)),flip(a)]. 10874 T(T(x * K(x,x * K(y,z)),u),K(z,y)) = R(T(x,u),K(z,y),x). [para(10873(a,1),6072(a,1,1,1,2))]. 10875 T(T(T(x,x * K(y,z)),u),K(z,y)) = R(T(x,u),K(z,y),x). [para(4705(a,2),10874(a,1,1,1))]. 10876 R(T(x,K(y,z)),K(z,y),x) = T(x,x * K(y,z)). [hyper(5982,a,10875,a)]. 10877 T(x,x * K(y,z)) \ T(K(z,y) * x,x) = K(z,T(y,x)). [para(10876(a,1),10462(a,1,1))]. 10878 T(x,x * K((y * z) \ (u * w),w)) \ T(K(w,(y * (w \ z)) \ u) * x,x) = K(w,T((y * (w \ z)) \ u,x)). [para(10560(a,1),10877(a,1,1,2,2))]. 10879 (((x * (y * z)) \ ((x * y) * z)) * K(u \ 1,u)) * K(u,u \ 1) = a(x,K(u,u \ 1) * y,z). [para(4444(a,1),10845(a,1,1))]. 10880 (a(x,y,z) * K(u \ 1,u)) * K(u,u \ 1) = a(x,K(u,u \ 1) * y,z). [para(24(a,2),10879(a,1,1,1))]. 10881 a(x,K(y,y \ 1) * z,u) = a(x,z,u). [hyper(5065,a,10880,a)]. 10883 a(x,1 / y,z) = a(x,y \ 1,z). [para(1872(a,1),10881(a,1,2))]. 10884 a(x,y * K(z \ 1,z),u) = a(x,y,u). [para(2923(a,1),10881(a,1,2)),flip(a)]. 10885 a(x,(y \ z) \ 1,u) = a(x,(1 / z) * y,u). [para(326(a,1),10883(a,1,2)),flip(a)]. 10886 a(x,1 / (y * K(z \ 1,z)),u) = a(x,K(z,z \ 1) * (y \ 1),u). [para(4369(a,1),10883(a,2,2))]. 10887 a(x,y * K(z \ 1,z),u) = K(w,v5) * (K(v5,w) * a(x,y,u)). [hyper(228,a,5042,a,b,10884,a)]. 10888 a(x,y * K(z \ 1,z),u) != w | a(x,y,u) = w. [para(10887(a,2),5046(a,1)),flip(b)]. 10889 a(x,y * K(z,z \ 1),u) != w | a(x,y,u) = w. [para(813(a,1),10888(a,1,2,2))]. 10890 a(x,K(y,y \ 1) * (z \ 1),u) = a(x,K(y,y \ 1) / z,u). [para(1890(a,1),10886(a,1,2)),flip(a)]. 10891 a(x,K(y,y \ 1) * (z \ 1),u) = a(x,y * (1 / (z * y)),u). [para(6840(a,1),10890(a,2,2))]. 10892 a(x,(y * K(z \ 1,z)) \ 1,u) = a(x,z * (1 / (y * z)),u). [para(4369(a,2),10891(a,1,2))]. 10893 K(x,((y / z) * L(z,u,w)) \ (y * L(z,u,w))) = L(K(x,T(z,L(z,u,w))),L(z,u,w),y). [hyper(228,a,7327,a(flip),b,6716,a)]. 10894 K(x,((y / z) * L(z,u,w)) \ (y * L(z,u,w))) = L(K(x,z),L(z,u,w),y). [para(260(a,1),10893(a,2,1,2))]. 10895 L(K(x,y),L(y,z,u),w) = K(x,y). [para(1543(a,1),10894(a,1,2)),flip(a)]. 10896 K((x \ y) \ L(z,u,w),z) = K(y \ (x * L(z,u,w)),z). [hyper(228,a,6328,a(flip),b,10895,a(flip))]. 10897 R(T(K(x,y),R(K(y,x),z,u) * w),z,u) \ w = w / (R(K(y,x),z,u) \ 1). [para(9430(a,1),6918(a,1,1))]. 10898 R(T(K(x,y),R(K(y,x),z,u) * w),z,u) \ w = w / R(K(x,y),z,u). [para(6913(a,1),10897(a,2,2))]. 10899 R(T(K(x,y),z),u,w) \ z = z / R(K(x,y),u,w). [para(7616(a,1),10898(a,1,1,1))]. 10900 x / (x / R(K(y,z),u,w)) = R(T(K(y,z),x),u,w). [para(10899(a,1),61(a,1,2))]. 10902 (R(K(x,y),z,u) \ w) \ w = R(T(K(x,y),w),z,u). [hyper(228,a,9433,a(flip),b,10900,a(flip)),flip(a)]. 10903 ((K(x,y) * z) * u) \ (z * u) = R(T(K(y,x),z * u),z,u). [para(6915(a,1),10902(a,1,1))]. 10904 ((K(x,y) * z) * u) \ (z * u) = R(K(y,T(x,z * u)),z,u). [para(7152(a,2),10903(a,2,1))]. 10905 ((K(x,T(y,z)) * L(x,u,w)) * z) \ (L(x,u,w) * z) = R(K(y,L(x,z,L(x,u,w))),L(x,u,w),z). [para(8257(a,1),10904(a,2,1))]. 10906 (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(4675(a,1),8717(a,1,1))]. 10907 a(x,K(x,y) * z,R(x,u,w)) = a(T(x,y),z,R(x,u,w)). [hyper(663,a,10906,a),flip(a)]. 10908 a(x,K(x,y) * z,R(x,u,w)) != v5 | a(T(x,y),z,R(x,u,w)) = v5. [para(10906(a,1),663(a,1))]. 10909 a(T(x,y),T(x,y) \ z,R(x,u,w)) = a(x,x \ z,R(x,u,w)). [para(4977(a,1),10907(a,1,2)),flip(a)]. 10910 ((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(5035(a,1),8930(a,1,1,1))]. 10911 (K(x,T(y,z)) * K(y,T(u,z))) \ 1 = (K(y,u) * K(x,y)) \ K(K(y,u) * K(x,y),z * K(u,y)). [para(10060(a,1),8941(a,1,1))]. 10912 ((x / y) * (y * K(z,x))) \ ((z * x) / z) = x \ (((x / y) * (y * K(x,z))) * K(z,x)). [para(16(a,1),9710(a,2,1))]. 10913 T(((x / y) * (y * K(x,z))) / T(x,z),x) = ((x / y) * (y * K(z,x))) \ ((z * x) / z). [hyper(228,a,5287,a(flip),b,10912,a),flip(a)]. 10914 K(K(x / y,z) \ x,T(K(x / y,z),u)) = K(x / y,T(z,u)) \ T(K(y \ x,z),u). [para(61(a,1),9732(a,1,2,1)),flip(a)]. 10916 K(K(x / y,z) \ x,T(K(x / y,z),u)) = K(x / y,T(z,u)) \ K(y \ x,T(z,u)). [para(7152(a,2),10914(a,2,2))]. 10917 K(K(x / y,z) \ x,T(K(x / y,z),u)) = K(z,T(x / y,u)) * K(y \ x,T(z,u)). [hyper(228,a,7230,a(flip),b,10916,a)]. 10918 K(x,T(y / z,u)) * K(z \ y,T(x,u)) = K(y / z,K(y,T(x,u))). [hyper(228,a,8106,a(flip),b,10917,a(flip))]. 10920 K(x,T(y / z,u)) * K(z \ y,T(x,u)) != w | K(y,K(z,T(x,u))) = w. [para(10918(a,2),8179(a,1))]. 10921 R(K(x,y) * R(K(x,y) \ 1,z,u),K(y,w),v5) = K(x,y) * R(K(x,y) \ 1,z,u). [para(10041(a,1),10047(a,2,2,1,1))]. 10922 R(K(x,y) * R(K(x,y) \ 1,z,u),K(y,w),v5) = K(x,y) * R(K(y,x),z,u). [para(4879(a,1),10921(a,2,2,1))]. 10924 R(K(x,y) * R(K(y,x),z,u),K(y,w),v5) = K(x,y) * R(K(y,x),z,u). [para(4879(a,1),10922(a,1,1,2,1))]. 10925 ((K(x,y) * z) * u) / (K(x,y) * (z * u)) = K(y,x) * R(K(x,y),z,u). [hyper(228,a,5055,a(flip),b,10924,a(flip)),flip(a)]. 10926 L(x,K(y,z),R(K(u,y) * R(K(y,u),w,v5),K(y,z),x)) = ((K(u,y) * R(K(y,u),w,v5)) * K(y,z)) \ (((K(u,y) * R(K(y,u),w,v5)) * K(y,z)) * x). [para(10924(a,1),474(a,1,1,1)),flip(a)]. 10927 R(K(x,y) * R(K(y,x),z,u),K(y,w),v5) * v6 = K(x,y) * (R(K(y,x),z,u) * v6). [para(10924(a,2),9956(a,1,1))]. 10929 R(K(x,K(y,z)) * R(K(y,K(z,x)),u,w),K(K(y,z),v5),v6) * v7 = K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * v7). [para(7693(a,1),10927(a,1,1,1,2,1))]. 10930 (x * (y * ((x \ (z / u)) / y))) * ((z / u) \ z) = (x * u) * (y * (((x * u) \ z) / y)). [para(64(a,1),10362(a,2,2,2,1,1,2))]. 10931 (x * (y * ((x \ (z / u)) / y))) * u = (x * u) * (y * (((x * u) \ z) / y)). [para(64(a,1),10930(a,1,2))]. 10932 ((x * y) * (z * (((x * y) \ u) / z))) / u = K(z,u / ((x * z) * y)). [para(10931(a,1),10100(a,1,1))]. 10933 K(x,y / ((z * u) * x)) = K(x,y / ((z * x) * u)). [hyper(6695,a,10932,a)]. 10934 K(x,y / ((z * x) * u)) = K(x,y / (x * (z * u))). [hyper(10496,a,10933,a),flip(a)]. 10935 K(T(x,y * z),u / ((y * T(x,y * z)) * z)) = K(T(x,y * z),u / (x * (y * z))). [para(113(a,1),10933(a,1,2,2)),flip(a)]. 10936 K(x,((y * x) * z) / (x * (y * (y \ z)))) = L(K(x,y),z,y * x). [hyper(10814,a,10934,a),flip(a)]. 10937 K(x,y / ((x * z) * u)) = K(x,y / (x * (z * u))). [hyper(228,a,8815,a(flip),b,10934,a(flip)),flip(a)]. 10938 x * K(x,y / (x * (z * u))) = T(x,y / ((x * z) * u)). [para(10937(a,1),4705(a,2,2)),flip(a)]. 10939 L(K(x,y),z,y * x) = K(x,((y * x) * z) / (x * z)). [para(14(a,1),10936(a,1,2,2,2)),flip(a)]. 10940 L(K(x,y),z,y * x) = K(x,R(y,x,z)). [para(30(a,2),10939(a,2,2))]. 10942 R(K(x,y),z,T(y * x,z)) = K(x,R(y,x,z)). [hyper(9932,a,10940,a)]. 10943 K(x,R(y,x,z)) = K(x,y). [hyper(228,a,10638,a(flip),b,10940,a(flip))]. 10944 K(R(x,y,z),y) = K(x,y). [hyper(10798,a,10943,a)]. 10945 R(K(x \ y,x),y,z) = K(x \ y,x). [hyper(6950,a,10943,a)]. 10947 ((x * y) * z) \ ((y * x) * z) = K(y,T(x,z)). [hyper(228,a,9300,a,b,10943,a(flip)),flip(a)]. 10948 K(x,y / (z * x)) = K(x,x \ (y / z)). [hyper(228,a,9572,a(flip),b,10943,a(flip)),flip(a)]. 10949 K(x,R(R(y,x,z),u,w)) = K(x,R(y,u,w)). [para(46(a,1),10943(a,1,2))]. 10953 K(R(x,y,z),y) = K(R(x,y,u),y). [hyper(228,a,10944,a,b,10944,a)]. 10956 T(x,R(y,x,z)) = x * K(R(x,y,u),y). [para(10953(a,1),9143(a,1,2)),flip(a)]. 10958 K(x / (y * z),y) = K(y \ (x / z),y). [hyper(6514,a,10945,a)]. 10959 K(x,y / (x * z)) = K(x,x \ (y / z)). [hyper(10496,a,10948,a)]. 10961 K(x,(x \ y) / z) = K(x,x \ (y / z)). [hyper(228,a,8383,a,b,10948,a(flip)),flip(a)]. 10962 K(x,y / ((z * x) * u)) = K(x,x \ (y / (z * u))). [hyper(228,a,10933,a(flip),b,10948,a(flip)),flip(a)]. 10963 K(1 / x,(1 / x) \ (y / ((x * z) \ x))) = K(1 / x,y / (z \ (1 / x))). [para(4558(a,1),10948(a,1,2,2)),flip(a)]. 10964 T(x,R(y,x,z)) = T(x,y). [hyper(228,a,7037,a(flip),b,10956,a)]. 10966 T(R(x,y,z),(u * (y * z)) / ((x * y) * z)) = T(R(x,y,z),u / R(x,y,z)). [para(504(a,1),10964(a,1,2))]. 10967 K((x \ y) / z,x) = K(x \ (y / z),x). [hyper(228,a,8541,a,b,10958,a(flip)),flip(a)]. 10968 K(x,T((x * y) \ z,y)) = K(x,x \ (z / y)). [hyper(9116,a,10959,a)]. 10969 x * K(x,x \ (y / (z * u))) = T(x,y / ((x * z) * u)). [para(10959(a,1),10938(a,1,2))]. 10970 K(x,x \ (y * (z \ 1))) = K(x,x \ (y / z)). [hyper(228,a,10651,a,b,10961,a(flip)),flip(a)]. 10971 K(x,x \ ((x * y) / z)) = K(x,y / z). [para(13(a,1),10961(a,1,2,1)),flip(a)]. 10972 K(x \ (y / z),x) * z = z * K(z \ (x \ y),x). [para(10967(a,1),7325(a,1,1))]. 10973 R(K(x,R(y,x,z)),(y * x) * z,u) = K(x,R(y,x * z,u)). [hyper(6952,a,10949,a)]. 10974 K(x,R(y,x,z)) * ((y * x) * z) = (K(x,y) * z) * T(y * x,z). [para(10942(a,1),484(a,1,1))]. 10976 K(T(x,y),(y \ 1) * (T(x,y) \ z)) = K(x,x \ (z / y)). [hyper(228,a,10682,a,b,10968,a(flip)),flip(a)]. 10977 K(x,x \ (y / ((x \ z) * u))) = K(x,y / (z * u)). [hyper(228,a,8816,a(flip),b,10962,a(flip))]. 10978 K(x \ (y / z),T(x,z)) = K(z \ (x \ y),x). [hyper(7282,a,10972,a)]. 10979 K(x \ (y / z),T(x,y)) = K(z \ (x \ y),x). [hyper(228,a,9120,a(flip),b,10978,a(flip)),flip(a)]. 10980 K(T(x,y),x \ (y / z)) = (u * K(z \ (x \ y),x)) \ u. [para(10979(a,1),5037(a,1,1,2)),flip(a)]. 10981 K(x,(x * y) / (z * u)) = K(x,y / ((x \ z) * u)). [hyper(228,a,10971,a(flip),b,10977,a(flip))]. 10982 K(x,y / ((x \ z) * u)) != w | K(x,((z * u) / y) \ x) = w. [para(10981(a,1),6943(a,1))]. 10983 T(x,y / ((x * z) * u)) = T(x,x \ (y / (z * u))). [hyper(4708,a,10969,a),flip(a)]. 10984 K(T(x,y),y \ (T(x,y) \ z)) = K(x,x \ (z / y)). [hyper(5792,a,10976,a)]. 10985 K(T(x,y),x \ (y / z)) = K(x,z \ (x \ y)). [hyper(228,a,5037,a(flip),b,10980,a)]. 10986 K(x,T(x \ (y / z),y)) = K(x,z \ (x \ y)). [hyper(7637,a,10985,a)]. 10987 K(x,(y \ z) \ (x \ z)) = K(x,T(x \ y,z)). [para(61(a,1),10986(a,1,2,1,2)),flip(a)]. 10988 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,(1 / z) \ y)). [hyper(228,a,8324,a,b,10987,a(flip)),flip(a)]. 10989 R(K(x,y),(y * x) * z,u) = K(x,R(y,x * z,u)). [para(10943(a,1),10973(a,1,1))]. 10991 (K(x,y) * z) * T(y * x,z) = (y * (K(x,y) * x)) * z. [hyper(228,a,6933,a(flip),b,10974,a(flip))]. 10992 (K(x,y) * z) * T(y * x,z) = (x * y) * z. [para(4783(a,1),10991(a,2,1))]. 10993 (x * y) * (K(y,x) * z) = (y * x) * z. [hyper(228,a,8975,a(flip),b,10992,a(flip)),flip(a)]. 10994 L(x,K(y,z),z * y) = x. [hyper(766,a,10993,a)]. 10995 K(x,y) * ((y * x) * z) = (x * y) * z. [hyper(228,a,10646,a,b,10993,a(flip)),flip(a)]. 10996 K(x,y) \ ((x * y) * z) = (y * x) * z. [hyper(71,a,10993,a(flip),b,10646,a)]. 11000 L(x,y * z,K(z,y)) = x. [hyper(4819,a,10995,a)]. 11001 K(x,y * z) \ ((x * y) * z) = ((y * z) * x) * a(x,y,z). [hyper(71,a,89,a(flip),b,10995,a)]. 11002 K(x,y) * (z * (y * x)) = (x * y) * T(z,y * x). [para(113(a,1),10995(a,1,2))]. 11003 (K(x,y) * (y * (x * z))) \ ((x * y) * z) = L(a(y,x,z),y * (x * z),K(x,y)). [para(10995(a,1),463(a,1,2))]. 11005 L(x,T(y,z),z) = L(x,y,z). [hyper(6755,a,11000,a)]. 11006 L(x,K(y,z),z * y) = L(x,u * w,K(w,u)). [hyper(228,a,10994,a,b,11000,a),flip(a)]. 11007 L(x,y,z) = (y * z) \ (z * (T(y,z) * x)). [hyper(228,a,6754,a(flip),b,11000,a(flip))]. 11008 L(x,T(y,z) * z,K(z,y)) = x. [para(4871(a,1),11000(a,1,3))]. 11009 L(x,y / z,z) = L(x,z \ y,z). [para(115(a,1),11005(a,1,2)),flip(a)]. 11015 L(x,y,T(z,y)) = L(x,y,z). [hyper(10272,a,11008,a),flip(a)]. 11016 L(x,y,T(z,y)) != u | L(x,y,z) = u. [para(11008(a,1),10272(a,1))]. 11020 L(x,y / z,z) != u | L(x,z \ y,z) = u. [para(4244(a,1),11016(a,1))]. 11026 (x * (T(y,x) * z)) / L(z,y,x) = y * x. [para(11007(a,2),61(a,1,2))]. 11027 L(x,y / T(z,z \ u),(z \ u) \ u) != w | L(x,((z \ u) \ u) \ y,(z \ u) \ u) = w. [para(618(a,2),11020(a,1,2))]. 11028 L(x,K(y,z),z * y) * (u * w) = K(u,w) * ((w * u) * T(x,u * w)). [para(11006(a,2),6467(a,2,1)),flip(a)]. 11029 T(x * (y * z),K(y,z)) = (y * z) * T(x,z * y). [hyper(10634,a,11002,a)]. 11030 T(x * (y * z),K(z,y)) = (y * z) * T(x,z * y). [hyper(7801,a,11029,a)]. 11031 ((x * y) * z) * a(z,x,y) = R(z,x,y) * T(x * y,z). [hyper(228,a,8530,a(flip),b,11001,a(flip))]. 11033 L(x,K(y,z),z * y) * (u * w) = K(u,w) * T(x * (w * u),K(u,w)). [para(11030(a,2),11028(a,2,2))]. 11034 L(x,K(y,z),z * y) * (u * w) = (x * (w * u)) * K(u,w). [hyper(228,a,113,a(flip),b,11033,a)]. 11035 L(x,y * z,K(z,y)) * (u * w) = (x * (w * u)) * K(u,w). [para(11006(a,1),11034(a,1,1))]. 11036 L(x,y * z,K(z,y)) = ((x * (u * w)) * K(w,u)) / (w * u). [hyper(85,a,11035,a),flip(a)]. 11037 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = T(R(x,z,u),y / R(x,z,u)). [hyper(228,a,42,a,b,10966,a(flip)),flip(a)]. 11038 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,(z \ 1) \ y)). [para(4343(a,1),10988(a,2,2))]. 11039 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = T(R(x,z,u),R(x,z,u) \ y). [hyper(228,a,3944,a(flip),b,11037,a)]. 11040 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,z \ 1)). [hyper(228,a,8547,a(flip),b,11038,a)]. 11041 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,z)). [hyper(228,a,8136,a(flip),b,11040,a)]. 11042 K(x,x \ T(y,z)) = K(x,T(x \ y,z)). [hyper(228,a,10633,a(flip),b,11041,a(flip)),flip(a)]. 11044 K(K(x,y) * z,z \ x) = K(z,T(z \ x,y)). [hyper(228,a,10366,a,b,11042,a(flip)),flip(a)]. 11045 K(x,x \ T(x * y,z)) = K(x,T(y,z)). [para(13(a,1),11042(a,2,2,1))]. 11046 K(x,T(y,z)) \ T(x * y,z) = (x \ T(x * y,z)) * x. [para(11045(a,1),4726(a,1,1))]. 11047 K(x,T(x \ y,z)) * (K(y,z) * x) = T(K(y,z) * x,x \ y). [para(11044(a,1),4712(a,2,1)),flip(a)]. 11048 K(x,T(y,z)) \ T(x * y,z) = T(y * x,z). [hyper(228,a,4471,a(flip),b,11046,a)]. 11049 K(x,T(y * x,z)) != u | K(x,T(x * y,z)) = u. [para(11048(a,1),8305(a,1,2))]. 11050 T(K(x,y) * z,z \ x) = T(z,z \ x) * K(x,y). [hyper(228,a,9264,a(flip),b,11047,a(flip))]. 11051 (x \ y) * T(K(y,z) * x,x \ y) = (y / x) * (x * K(y,z)). [para(11050(a,2),5952(a,1,2))]. 11052 (K(x,y) * z) * (z \ x) = (x / z) * (z * K(x,y)). [hyper(219,a,11051,a)]. 11053 T(x,y) / (z \ x) = K(x,y) * z. [hyper(72,a,6261,a(flip),b,11052,a)]. 11054 (K(x,y) * z) \ T(x,y) = z \ x. [hyper(71,a,6261,a(flip),b,11052,a)]. 11055 ((x / y) * (y * K(x,z))) / T(x,z) = a(K(x,z),y,y \ x). [para(11052(a,1),10268(a,1,1))]. 11056 K(x,y) * (1 / z) = K(x,y) / z. [hyper(228,a,6882,a(flip),b,11053,a(flip))]. 11058 L(x \ y,x,K(y,z)) = x \ y. [hyper(4791,a,11054,a)]. 11059 a(K(x,y),z,z \ x) = 1. [hyper(34,a,11058,a)]. 11062 (1 / x) * K(y,T(z,x)) = K(y,z) / x. [hyper(228,a,8140,a,b,11056,a(flip)),flip(a)]. 11063 K(x,y) * (K(z,u) / u) = K(x,y) / T(u,z). [hyper(228,a,4804,a,b,11056,a(flip)),flip(a)]. 11064 K(x,y) * ((1 / z) * u) = K(x,y) / (u \ z). [para(326(a,1),11056(a,1,2))]. 11065 K(x,y) * ((1 / (1 / z)) \ u) = K(x,y) / ((u \ 1) * z). [para(323(a,1),11056(a,1,2))]. 11066 T(x,y) * (1 / z) = x * (K(x,y) / z). [para(11056(a,1),4675(a,1,2)),flip(a)]. 11067 K(x,y) / (z * K(u,w)) = K(x,y) * (K(w,u) / z). [para(4898(a,1),11056(a,1,2)),flip(a)]. 11068 (1 / (1 / x)) * K(y,z) = 1 / (K(z,y) / x). [para(11056(a,1),5048(a,1,2)),flip(a)]. 11069 K(x,y) * ((1 / z) * K(u,w)) = K(x,y) / (K(w,u) * z). [para(5048(a,1),11056(a,1,2))]. 11070 L(x \ (K(y,z) / u),x,K(z,y)) = ((K(z,y) * x) \ 1) / u. [para(11056(a,1),6291(a,1,1,2))]. 11071 K(x,T(T(x,y) \ (z \ 1),y)) = x * (K(x,y) / T(T(x,y),z)). [para(11056(a,1),7208(a,1,2)),flip(a)]. 11073 T(x,y) * (1 / (z * T(x,y))) = x * (1 / (z * x)). [para(5273(a,1),11066(a,2,2))]. 11074 (K(x,y) * (1 / z)) \ (K(x,y) / (u \ z)) = L(u,1 / z,K(x,y)). [hyper(71,a,11064,a(flip),b,100,a)]. 11075 1 / (K(x \ 1,x) / y) = x * (1 / ((1 / y) * x)). [hyper(228,a,6841,a(flip),b,11068,a(flip))]. 11076 1 / ((x \ 1) * (x / y)) = x * (1 / ((1 / y) * x)). [para(3463(a,1),11075(a,1,2))]. 11077 a(x * (1 / ((1 / y) * x)),x \ 1,z) = ((z \ x) / y) / (z \ (x / y)). [para(11076(a,1),10260(a,1,1))]. 11078 K(x \ 1,x) / ((y \ 1) * x) = x \ y. [hyper(228,a,5954,a(flip),b,11065,a(flip))]. 11079 K(x \ 1,x) / ((y \ (z \ 1)) * x) = x \ (z * y). [para(118(a,1),11078(a,1,2,1))]. 11080 K(x,y / ((z \ (u \ 1)) * w)) = K(x,y * (w \ (u * z))). [para(11079(a,1),6165(a,1,2,2)),flip(a)]. 11081 ((x / y) * (y * K(z,x))) \ ((z * x) / z) = T(a(K(x,z),y,y \ x),x). [para(11055(a,1),10913(a,1,1)),flip(a)]. 11082 L(x \ (K(y,z) / u),x,K(z,y)) = (x \ K(y,z)) / u. [para(4893(a,1),11070(a,2,1))]. 11083 x * (K(x,y) / T(T(x,y),z)) = K(x,T(x \ (z \ 1),y)). [hyper(228,a,7481,a(flip),b,11071,a(flip))]. 11085 K(x,T(x \ (y \ 1),z)) = x * (1 / T(x,T(y,z))). [para(7530(a,1),11083(a,1,2)),flip(a)]. 11086 K(x,x \ (T(y,z) \ 1)) = K(x,T(x \ (y \ 1),z)). [hyper(228,a,6857,a,b,11085,a),flip(a)]. 11087 K(x,T(x \ ((1 / (y * z)) \ 1),y)) = K(x,x \ ((y \ (1 / z)) \ 1)). [para(322(a,1),11086(a,1,2,2,1)),flip(a)]. 11088 (K(x,y) / z) \ (K(x,y) / (u \ z)) = L(u,1 / z,K(x,y)). [para(11056(a,1),11074(a,1,1))]. 11089 L(x,1 / (x * y),K(z,u)) = (K(z,u) / (x * y)) \ (K(z,u) / y). [para(13(a,1),11088(a,1,2,2)),flip(a)]. 11090 L(x,1 / (x * y),K(z,u)) = R(x,y,K(z,u) \ 1). [hyper(228,a,1025,a(flip),b,11089,a)]. 11091 L(x,1 / (x * y),K(z,u)) = R(x,y,K(u,z)). [para(4879(a,1),11090(a,2,3))]. 11093 K(x,T(x \ ((1 / (y * z)) \ 1),y)) = K(x,x \ (z * ((y \ 1) \ 1))). [para(306(a,1),11087(a,2,2,2))]. 11094 K(x,T(x \ ((1 / (y * z)) \ 1),y)) = K(x,x \ (z / (y \ 1))). [hyper(228,a,10970,a(flip),b,11093,a)]. 11095 K(x,T(x \ ((1 / (y * z)) \ 1),y)) = K(x,x \ ((1 / z) \ y)). [para(317(a,1),11094(a,2,2,2))]. 11096 K(x,T(x \ ((1 / (y * z)) \ 1),y)) = K(x,z * (x \ y)). [hyper(228,a,10607,a(flip),b,11095,a)]. 11097 K(x,T(x \ (y * z),y)) = K(x,z * (x \ y)). [para(64(a,1),11096(a,1,2,1,2))]. 11099 ((x / y) * (y * K(z,x))) \ ((z * x) / z) = a(K(x,z),y,y \ x). [hyper(228,a,9072,a(flip),b,11081,a)]. 11100 a(K(x,y),z,z \ x) = a(x / z,z,K(y,x)). [hyper(228,a,4839,a(flip),b,11099,a(flip))]. 11101 a(K(x * y,z),y,y \ (x * y)) = a(x,y,K(z,x * y)). [para(15(a,1),11100(a,2,1))]. 11102 a(K(x * y,z),y,T(x,y)) = a(x,y,K(z,x * y)). [para(32(a,2),11101(a,1,3))]. 11103 T(x * y,z) * a(x,y,K(z,x * y)) = (K(x * y,z) * y) * T(x,y). [para(11102(a,1),4792(a,1,2))]. 11104 (K(x * y,z) * y) * T(x,y) = x * (y * K(x * y,z)). [hyper(228,a,9706,a(flip),b,11103,a(flip))]. 11105 (K(x * y,z) * y) * T(x,y) != x * u | y * K(x * y,z) = u. [para(11104(a,2),19(a,1))]. 11106 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = R(T(x,R(x,z,u) \ y),z,u). [hyper(228,a,42,a,b,11039,a)]. 11107 R(T(x,x \ ((y * (z * u)) / (z * u))),z,u) = R(T(x,R(x,z,u) \ y),z,u). [para(10983(a,1),11106(a,1,1))]. 11108 R(T(x,R(x,y,z) \ u),y,z) = R(T(x,x \ u),y,z). [para(15(a,1),11107(a,1,1,2,2)),flip(a)]. 11109 R(T(x,x \ y),z,u) = (R(x,z,u) \ y) \ y. [hyper(649,a,11108,a),flip(a)]. 11110 (R(x,y,z) * u) / (R(T(x,x \ w),y,z) * u) = K(R(x,y,z) \ w,R(x,y,z)). [para(11108(a,1),5152(a,1,2,1))]. 11111 R((x \ y) \ y,z,u) = (R(x,z,u) \ y) \ y. [hyper(228,a,1045,a(flip),b,11109,a(flip)),flip(a)]. 11112 (R(x,y,z) \ (x * u)) \ (x * u) = R(T(x,u),y,z). [para(13(a,1),11109(a,1,1,2)),flip(a)]. 11113 (R(x / y,z,u) \ x) \ x = R(y \ x,z,u). [para(583(a,1),11109(a,1,1)),flip(a)]. 11117 R(((x * K(y,x)) \ y) \ y,z,u) = (R(x,z,u) \ ((R(x,z,u) * y) / R(x,z,u))) \ y. [para(5833(a,1),11111(a,2,1))]. 11120 K(x,R(x / y,z,u) \ w) = K(x,R(y \ x,z,u) \ w). [para(11113(a,1),6761(a,1,2,1)),flip(a)]. 11121 R(T(x,R(x,y,z) * u),y,z) = (x * u) \ (x * (R(x,y,z) * u)). [para(1224(a,1),11112(a,1,1)),flip(a)]. 11122 R(T(x,R(x,y,z) * u),y,z) = L(T(R(x,y,z),u),u,x). [hyper(228,a,179,a(flip),b,11121,a)]. 11123 R(T(x,R(x,y,z) * u),y,z) = L(R(T(x,u),y,z),u,x). [para(42(a,2),11122(a,2,1))]. 11124 R(T(x,R(x,y,z) * u),y,z) = R(T(x,x * u),y,z). [hyper(228,a,677,a(flip),b,11123,a)]. 11125 R(T(x,x * y),z,u) \ R(x,z,u) = K(R(x,z,u) * y,R(x,z,u)). [para(11124(a,1),4657(a,1,1))]. 11126 K(R(x,y,z) * u,R(x,y,z)) = K(x * u,R(x,y,z)). [hyper(4926,a,11125,a),flip(a)]. 11127 K(x * R(y,z,u),R(y,z,u)) = K(y * x,R(y,z,u)). [hyper(7391,a,11126,a)]. 11128 K(x * R(y,z,u),R(y,z,u)) = K(x * y,R(y,z,u)). [hyper(228,a,9900,a,b,11127,a)]. 11129 (x * (K(y,x) * (y * z))) \ ((y * x) * z) = L(a(x,y,z),x * (y * z),K(y,x)). [para(5164(a,1),11003(a,1,1))]. 11130 K(R(x,y,z) \ u,R(x,y,z)) = K(x \ u,R(x,y,z)). [hyper(6473,a,11110,a),flip(a)]. 11134 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(11130(a,1),4632(a,1,1,2))]. 11135 L(a(x,y,z),x * (y * z),K(y,x)) = (x * (T(y,x) * z)) \ ((y * x) * z). [para(4720(a,1),11129(a,1,1,2)),flip(a)]. 11136 L(a(x,y,z),x * (y * z),K(y,x)) != u | a(x,T(y,x),z) = u. [para(11135(a,2),909(a,1))]. 11137 K(T(x,y * z),u / ((y * T(x,y * z)) * z)) = K(x,T(u / (x * (y * z)),y * z)). [hyper(228,a,7202,a(flip),b,10935,a)]. 11138 R(((x * K(y,x)) \ y) \ y,z,u) = (R(x,z,u) \ y) \ T(y,R(x,z,u)). [hyper(228,a,6677,a(flip),b,11117,a)]. 11139 (R(x,y,z) \ u) \ T(u,R(x,y,z)) = R((x \ u) \ T(u,x),y,z). [para(6675(a,1),11138(a,1,1)),flip(a)]. 11140 (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(11139(a,1),9822(a,1,2))]. 11141 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(5822(a,1),11134(a,1,1))]. 11142 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(228,a,42,a,b,11141,a(flip)),flip(a)]. 11143 L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = R(L(x,x \ u,x),y,z). [para(4632(a,1),11142(a,1,1)),flip(a)]. 11144 L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = L(R(x,y,z),x \ u,x). [hyper(228,a,44,a(flip),b,11143,a)]. 11145 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(11144(a,1),1263(a,1,1,1)),flip(a)]. 11146 K(T(x,y * z),u / ((y * T(x,y * z)) * z)) = K(x,(y * z) \ (x \ u)). [hyper(228,a,8207,a(flip),b,11137,a)]. 11147 K(x,T(y / ((z * T(x,z * u)) * u),z * u)) = K(x,(z * u) \ (x \ y)). [hyper(7637,a,11146,a)]. 11148 K(x,T(y / ((z * x) * u),z * u)) = K(x,(z * u) \ (x \ y)). [hyper(228,a,10533,a(flip),b,11147,a(flip)),flip(a)]. 11150 K(x,((y * x) * z) \ u) = K(x,(y * z) \ (x \ u)). [hyper(228,a,9105,a(flip),b,11148,a(flip)),flip(a)]. 11151 K(x,((x \ y) * z) \ (x \ u)) = K(x,(y * z) \ u). [hyper(228,a,8652,a(flip),b,11150,a(flip))]. 11152 K(x,((y * x) * (y \ 1)) \ z) = K(x,x \ z). [para(123(a,1),11150(a,2,2))]. 11153 K(x,a(x,y,y \ 1) \ z) = K(x,x \ (x * z)). [hyper(228,a,9611,a(flip),b,11152,a(flip)),flip(a)]. 11155 K(x,a(x,y,y \ 1) \ z) = K(x,z). [para(13(a,1),11153(a,2,2))]. 11156 K(x,y \ R(x,z,z \ 1)) = K(x,y \ x). [hyper(228,a,9257,a(flip),b,11155,a(flip))]. 11158 K(x,y \ ((z * x) * (z \ 1))) = K(x,y \ x). [hyper(228,a,8626,a,b,11156,a(flip)),flip(a)]. 11160 R(K(x,T(y,(z * x) * (z \ 1))),z * x,z \ 1) = K(x,((y \ (z * x)) * (z \ 1)) \ x). [hyper(228,a,9442,a(flip),b,11158,a(flip)),flip(a)]. 11161 K(x,((x \ y) * z) \ 1) = K(x,(y * z) \ x). [para(52(a,1),11151(a,1,2,2))]. 11162 L(x,T(y,y \ z) \ 1,y) != u | L(x,((y \ z) \ z) \ 1,(y \ z) \ z) = u. [para(4182(a,1),11027(a,1))]. 11163 R(K(x,T(y,(z * x) / z)),z * x,z \ 1) = K(x,((y \ (z * x)) * (z \ 1)) \ x). [para(8829(a,1),11160(a,1,1))]. 11164 R(K(x,T(y,T(x,z))),z * x,z \ 1) = K(x,((y \ (z * x)) * (z \ 1)) \ x). [para(7929(a,1),11163(a,1,1,2))]. 11165 K(x,((y \ (z * x)) * (z \ 1)) \ x) = R(K(x,y),z * x,z \ 1). [para(5103(a,1),11164(a,1,1)),flip(a)]. 11166 K(x,((y \ (z * x)) * (z \ 1)) \ x) = K(R(x,z,z \ 1),y). [hyper(228,a,9138,a(flip),b,11165,a)]. 11168 K(R(x,y,y \ 1),R(z,z \ y,x)) = K(x,(((z \ y) * x) * (y \ 1)) \ x). [para(472(a,1),11166(a,1,2,1,1)),flip(a)]. 11169 R(K(R(x,y,y \ 1),z),y,x) = K(x,(((z \ y) * x) * (y \ 1)) \ x). [hyper(6950,a,11168,a)]. 11170 K(x,(((y \ z) * x) * (z \ 1)) \ x) = K(R(x,z,z \ 1),y). [hyper(228,a,10438,a(flip),b,11169,a(flip))]. 11172 K(x,((y \ z) * (z \ 1)) \ (x \ x)) = K(R(x,z,z \ 1),y). [hyper(228,a,11150,a(flip),b,11170,a(flip)),flip(a)]. 11173 K(x,((y \ z) * (z \ 1)) \ 1) = K(R(x,z,z \ 1),y). [para(52(a,1),11172(a,1,2,2))]. 11174 R(K(x,y),z,z \ 1) = K(R(x,z,z \ 1),y). [hyper(228,a,6956,a(flip),b,11173,a(flip)),flip(a)]. 11176 R(K(x,y),z,z \ 1) \ 1 = K(y,R(x,z,z \ 1)). [para(11174(a,2),4879(a,1,1))]. 11177 R(K(x,y),z,z \ 1) = K(x,R(y,z,z \ 1)). [hyper(6917,a,11176,a)]. 11178 K(x,(y * z) * (z \ 1)) = R(K(x,y),z,z \ 1). [para(194(a,2),11177(a,2,2)),flip(a)]. 11179 ((x * ((x \ y) * K(x / y,y))) / x) \ 1 = x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)). [para(4896(a,1),10500(a,1,1,1,2))]. 11180 ((x * ((y * (x / y)) \ y)) / x) \ 1 = x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)). [para(6258(a,1),11179(a,1,1,1,2))]. 11181 x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)) = ((x / (x / y)) / x) \ 1. [para(5464(a,1),11180(a,1,1,1)),flip(a)]. 11182 x / (x * ((1 / ((x / ((x \ y) \ 1)) / x)) \ 1)) = ((x / (x / y)) / x) \ 1. [para(2864(a,2),11181(a,1,2,2,1))]. 11183 x / (x * ((x / ((x \ y) \ 1)) / x)) = ((x / (x / y)) / x) \ 1. [para(64(a,1),11182(a,1,2,2))]. 11185 x / (x / ((y / x) \ 1)) = ((x / (x / y)) / x) \ 1. [para(10539(a,1),11183(a,1,2))]. 11186 1 / (x / (x / ((y / x) \ 1))) = (x / (x / y)) / x. [para(11185(a,2),61(a,1,2))]. 11187 K(L(x,y,z),x \ ((u * (x \ (1 / L(x,y,z)))) \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). [hyper(228,a,10701,a(flip),b,10653,a(flip)),flip(a)]. 11188 K(L(x,y,z),(u * (1 / L(x,y,z))) \ w) = K(L(x,y,z),(u * (1 / x)) \ w). [hyper(10688,a,11187,a)]. 11189 K(L(x,y,z),L(x,y,z) * ((u * 1) \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). [hyper(228,a,10719,a(flip),b,11188,a(flip)),flip(a)]. 11190 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). [para(12(a,1),11189(a,1,2,2,1))]. 11191 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),(u * (x \ 1)) \ w). [hyper(228,a,5901,a(flip),b,11190,a)]. 11192 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),x * ((u * 1) \ w)). [hyper(228,a,10770,a(flip),b,11191,a)]. 11193 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),x * (u \ w)). [para(12(a,1),11192(a,2,2,2,1))]. 11194 K(x,((1 / (K(y,(z \ x) \ 1) / y)) * z) \ (u * x)) = K(x,(((z \ x) \ 1) * (1 / (y \ 1))) \ u). [hyper(228,a,5902,a(flip),b,10824,a)]. 11195 (L(x,y,z) * (K(x,T(u,w)) * w)) \ (L(x,y,z) * w) = R(K(u,L(x,w,L(x,y,z))),L(x,y,z),w). [para(4159(a,1),10905(a,1,1))]. 11196 ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = ((K(y,x) * z) * K(x,y)) * K(u,x). [para(2465(a,1),10910(a,1,1,2)),flip(a)]. 11197 ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = T(z,K(x,y)) * K(u,x). [para(6002(a,1),11196(a,2,1))]. 11198 ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = T(z * K(u,x),K(x,y)). [hyper(228,a,8776,a,b,11197,a)]. 11199 (K(x,y) \ z) * (K(x,y) * K(u,x)) = T(z * K(u,x),K(x,y)). [para(2468(a,1),11198(a,1,1,1))]. 11200 (K(x,y) * z) * (K(y,x) * K(u,y)) = T(z * K(u,y),K(y,x)). [para(5035(a,1),11199(a,1,1))]. 11201 T((K(x,y) * z) * K(y,x),K(x,u)) = z * K(K(u,x) * K(x,y),z). [hyper(10505,a,11200,a),flip(a)]. 11202 x * K(K(y,z) * K(z,u),x) = T(T(x,K(z,u)),K(z,y)). [para(7787(a,1),11201(a,1,1)),flip(a)]. 11203 (K(x,y) * K(z,x)) \ K(K(x,y) * K(z,x),u * K(y,x)) = K(x,T(z,u)) * (K(T(y,u),x) * 1). [hyper(228,a,10049,a(flip),b,10911,a(flip))]. 11204 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(4156(a,1),11140(a,1,2,1)),flip(a)]. 11205 K(x,((1 / (K(y,(z \ x) \ 1) / y)) * z) \ (u * x)) = K(x,(((z \ x) \ 1) * y) \ u). [para(61(a,1),11194(a,2,2,1,2))]. 11206 K(x,((1 / (K(y,x \ z) / y)) * z) \ (u * x)) = K(x,(((z \ x) \ 1) * y) \ u). [para(5558(a,1),11205(a,1,2,1,1,2,1))]. 11207 K(x,(((y \ x) \ 1) * z) \ u) = K(x,((x \ y) * z) \ u). [hyper(228,a,10575,a(flip),b,11206,a(flip))]. 11208 (L(x,y,z) * (u * K(x,w))) \ (L(x,y,z) * u) = R(K(w,L(x,u,L(x,y,z))),L(x,y,z),u). [para(7823(a,1),11195(a,1,1,2))]. 11209 R(K(x,L(y,z,L(y,u,w))),L(y,u,w),z) = K(x,y). [hyper(8693,a,11208,a),flip(a)]. 11210 R(K(x,y),L(y,z,u),w) = K(x,y). [para(8747(a,1),11209(a,1,1))]. 11211 K((L(x,y,z) * u) / w,x) = K(L(x,y,z) / (w / u),x). [hyper(228,a,6741,a(flip),b,11210,a(flip)),flip(a)]. 11213 K((L(x,y,z) * u) / w,x) = K((w / u) \ L(x,y,z),x). [hyper(228,a,5660,a(flip),b,11211,a)]. 11214 K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K((u / w) \ L(x,y,z),x). [hyper(228,a,10511,a,b,11213,a(flip)),flip(a)]. 11215 K((x / y) \ L(z,u,w),z) != v5 | K(y / (L(z,u,w) \ x),z) = v5. [para(11214(a,1),8168(a,1))]. 11216 (K(x,y) * K(z,x)) \ K(K(x,y) * K(z,x),u * K(y,x)) = K(x,T(z,u)) * (K(y,T(x,u)) * 1). [para(7202(a,1),11203(a,2,2,1))]. 11217 (K(x,y) * K(z,x)) \ K(K(x,y) * K(z,x),u * K(y,x)) = K(x,T(z,u)) * K(y,T(x,u)). [para(12(a,1),11216(a,2,2))]. 11218 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(4757(a,1),4866(a,1,1,1,1))]. 11219 T(x * L(L(y,z,u),x,y),y * K(x,y)) = L(y * K(x,y),z,u) * T(x,y). [para(6771(a,1),11218(a,1,1))]. 11220 T(x * L(L(y,z,u),x,y),y * K(x,y)) = T(x,y) * L(y,z,u). [hyper(228,a,5444,a(flip),b,11219,a)]. 11221 T(x * L(L(y,x,y),z,u),y * K(x,y)) = T(x,y) * L(y,z,u). [para(45(a,1),11220(a,1,1,2))]. 11222 T(x * L(L(y,x,y),z,u),T(y,x)) = T(x,y) * L(y,z,u). [hyper(8178,a,11221,a)]. 11223 T(x * L(L(y,x,y),z,u),y) = T(x,y) * L(y,z,u). [hyper(228,a,8155,a(flip),b,11222,a(flip)),flip(a)]. 11224 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(11223(a,1),5478(a,1,2,2))]. 11225 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(7323(a,1),11224(a,1,1))]. 11226 (x * ((1 / (y * x)) * y)) \ ((1 / (y * x)) * y) = x \ 1. [hyper(228,a,2126,a(flip),b,5963,a(flip))]. 11228 (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(6500(a,1),11226(a,1,1,2,1,2))]. 11229 ((x \ ((y * z) \ 1)) \ ((y * (z * x)) \ 1)) * (y * (z * x)) = (y * (z * x)) * ((a(y,z,x) \ 1) \ 1). [para(118(a,1),6232(a,1,1,1))]. 11230 K(x / ((y \ 1) * z),y * K(y \ z,y)) = K((y \ L(z,y \ 1,y)) \ x,y). [para(6678(a,1),8480(a,1,2))]. 11231 K(T(x / ((y \ 1) * z),y \ z),y) = K((y \ L(z,y \ 1,y)) \ x,y). [hyper(7915,a,11230,a)]. 11232 K(T(x / ((y \ 1) * z),y \ z),y) = K(((y \ 1) * z) \ x,y). [para(396(a,1),11231(a,2,1,1))]. 11233 K(T(x / ((y \ 1) * z),z),y) = K(((y \ 1) * z) \ x,y). [hyper(8164,a,11232,a)]. 11234 K(((T(x,y) \ 1) * y) \ z,T(x,y)) = K(z / ((T(x,y) \ 1) * y),x). [hyper(7962,a,11233,a),flip(a)]. 11235 K(((T(x,y) \ 1) * y) \ z,T(x,y)) = K(z / ((x \ 1) * y),x). [hyper(228,a,8808,a(flip),b,11234,a)]. 11237 K(x \ (y * T(z,x)),T(z,x)) = K(y / ((z \ 1) * x),z). [hyper(228,a,10166,a(flip),b,11235,a(flip)),flip(a)]. 11238 K((x * T(y,z)) / z,y) = K(x / ((y \ 1) * z),y). [hyper(7964,a,11237,a)]. 11239 K(x / ((y \ 1) * z),y) = K(x / (y \ z),y). [hyper(9636,a,11238,a),flip(a)]. 11240 K(x / (y \ T(z,y \ 1)),y) = K(x / (z * (y \ 1)),y). [para(113(a,1),11239(a,1,1,2)),flip(a)]. 11241 K(x / (y * (z \ 1)),z) = K(x / (z \ y),z). [hyper(9531,a,11240,a),flip(a)]. 11242 L(K(x * y,T(x,z)),y,z) = K((z * y) / (x \ z),x). [hyper(228,a,10843,a,b,11241,a(flip)),flip(a)]. 11243 K(R(x \ y,z,u),w \ (y / x)) = K(R(x \ y,z,u),w \ (x \ y)). [hyper(6354,a,8643,a),flip(a)]. 11244 K(R(x \ (x * y),z,u),R(y / w,w,K(x,y)) \ (x \ (x * y))) = K(R(x \ (x * y),z,u),w * K(x,y)). [para(4834(a,1),11243(a,1,2)),flip(a)]. 11245 (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(1632(a,2),8901(a,1,2,2))]. 11246 K(x,y) * (R(K(z,y),K(x,y),u) * u) = (K(z,y) * K(x,y)) * u. [para(15(a,1),9867(a,1,1,1)),flip(a)]. 11248 (K(x,y) * K(z,y)) * u = K(z,y) * (K(x,y) * u). [para(10056(a,1),11246(a,1,2,1)),flip(a)]. 11250 ((x * y) / x) \ (T(y,z) * (K(z,y) * (K(x,y) * u))) = L(u,T(y,z) \ ((x * y) / x),T(y,z)). [para(11248(a,1),6113(a,1,2,2))]. 11251 L(x,T(y,z) \ ((u * y) / u),T(y,z)) = ((u * y) / u) \ (y * (K(u,y) * x)). [para(5007(a,1),11250(a,1,2)),flip(a)]. 11252 L(x,T(y,z) \ ((u * y) / u),T(y,z)) = K(y,u) * (K(u,y) * x). [hyper(228,a,4992,a(flip),b,11251,a)]. 11254 L(x,T(y,z) \ ((u * y) / u),T(y,z)) = x. [hyper(228,a,5042,a(flip),b,11252,a)]. 11256 L(x,K(y,z) * K(u,z),T(z,u)) = x. [para(6112(a,1),11254(a,1,2))]. 11257 a((x \ y) \ y,z,(x \ y) \ y) = K(x * z,T(T(x,y),u)) * K((x \ y) \ y,T(z,u)). [para(10312(a,1),10458(a,1,1)),flip(a)]. 11258 a((x \ y) \ y,z,(x \ y) \ y) = K(x * z,T(T(x,y),u)) * K(x,T(T(z,u),y)). [para(7166(a,1),11257(a,2,2))]. 11260 K(x * y,T(T(x,z),u)) * K(x,T(T(y,u),z)) = a(x,y,x). [hyper(228,a,10831,a(flip),b,11258,a(flip))]. 11262 K(x * y,T(T(x,z),u)) * K(x,T(T(y,z),u)) = a(x,y,x). [para(38(a,1),11260(a,1,1,2))]. 11263 K(((x / y) \ 1) * z,y / x) * K((x / y) \ 1,T(z,y \ x)) = a((x / y) \ 1,z,(x / y) \ 1). [para(3245(a,1),10459(a,1,1))]. 11264 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(228,a,1263,a(flip),b,11145,a)]. 11265 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(42(a,2),11264(a,2,3))]. 11266 ((x \ (y \ (z \ 1))) \ ((z * (y * x)) \ 1)) * (z * (y * x)) = (z * (y * x)) * ((a(z,y,x) \ 1) \ 1). [para(118(a,1),11229(a,1,1,1,2))]. 11267 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(100(a,1),11245(a,1,2)),flip(a)]. 11268 K((x \ y) \ z,x / y) * K((y / x) \ 1,T(z,x \ y)) = a((y / x) \ 1,z,(y / x) \ 1). [para(9375(a,1),11263(a,1,1))]. 11269 K((x \ y) \ z,x / y) * K(x / y,T(z,x \ y)) = a((y / x) \ 1,z,(y / x) \ 1). [para(5619(a,1),11268(a,1,2))]. 11270 K((x \ y) \ z,x / y) * K(x / y,z) = a((y / x) \ 1,z,(y / x) \ 1). [para(8290(a,1),11269(a,1,2))]. 11271 ((x \ (y \ (z \ 1))) \ ((y * x) \ (z \ 1))) * (z * (y * x)) = (z * (y * x)) * ((a(z,y,x) \ 1) \ 1). [para(118(a,1),11266(a,1,1,2))]. 11272 T(R(((x \ R(x,y,z)) \ 1) \ 1,x,y * z),x * (y * z)) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(3370(a,2),3532(a,1,1))]. 11273 R(T(x,x * y) * L(T(x,x * y) \ 1,z,u),y,x) = T(x,y) * L(T(x,y) \ 1,z,u). [para(3934(a,1),3984(a,2,2,1,1))]. 11274 R(T(x * L(x \ 1,y,z),x * u),u,x) = T(x,u) * L(T(x,u) \ 1,y,z). [para(2041(a,1),11273(a,1,1))]. 11275 R(T(x * L(x \ 1,y,z),x * u),u,x) != w | T(x * L(x \ 1,y,z),u) = w. [para(11274(a,2),2044(a,1))]. 11276 T(x \ 1,y * x) * L(T(x \ 1,x * y) \ 1,z,u) = T(x \ L(x,z,u),y * x). [para(1127(a,1),6025(a,2,1))]. 11277 T((x \ 1) * L((x \ 1) \ 1,y,z),x * u) = T(x \ L(x,y,z),u * x). [hyper(228,a,11276,a(flip),b,6026,a(flip))]. 11278 T(x \ L(x,y,z),u * x) = T(x \ L(x,y,z),x * u). [para(1127(a,1),11277(a,1,1)),flip(a)]. 11279 K((T(x \ L(x,y,z),x * u) / w) / ((x \ L(x,y,z)) / w),v5) = K(x \ L(x,y,z),K(u * x,v5)). [para(11278(a,1),9723(a,1,1,1,1))]. 11280 K(K(((x \ L(x,y,z)) / u) / (u \ 1),x * w),v5) = K(x \ L(x,y,z),K(w * x,v5)). [para(5006(a,2),11279(a,1,1))]. 11281 K(x,K(((y \ L(y,z,u)) / w) / (w \ 1),y * v5)) = K(y \ L(y,z,u),K(v5 * y,x)). [hyper(7953,a,11280,a)]. 11282 K(x,K(y * z,((y \ L(y,u,w)) / v5) * v5)) = K(y \ L(y,u,w),K(z * y,x)). [hyper(8288,a,11281,a)]. 11283 K(x \ L(x,y,z),K(u * x,w)) = K(w,K(x * u,x \ L(x,y,z))). [para(16(a,1),11282(a,1,2,2)),flip(a)]. 11284 K(x,K(y * z,z \ L(z,u,w))) = K(x,K(z * y,z \ L(z,u,w))). [hyper(7715,a,11283,a)]. 11285 x \ ((x / ((y * z) / y)) * ((z \ 1) * ((y * z) / y))) = T(x \ (x / z),(y * z) / y). [para(4701(a,1),6635(a,1,2,2,1))]. 11287 x \ ((x / ((y * z) / y)) * ((T(z,y) \ 1) * z)) = T(x \ (x / z),(y * z) / y). [para(5965(a,1),11285(a,1,2,2))]. 11288 (1 / ((x * y) / x)) * ((T(y,x) \ 1) * y) = T(1 \ (1 / y),(x * y) / x). [hyper(153,a,11287,a)]. 11289 (1 / ((x * y) / x)) * ((T(y,x) \ 1) * y) = T(1 / y,(x * y) / x). [para(51(a,1),11288(a,2,1))]. 11290 (1 / ((x * y) / x)) \ (y \ 1) = (T(y,x) \ 1) * y. [hyper(71,a,5121,a(flip),b,11289,a)]. 11291 K(x \ (y * z),z) * K(z,z \ T(z * ((y \ x) \ 1),z)) = a(z,(y \ x) \ 1,z). [hyper(228,a,9979,a(flip),b,6657,a)]. 11292 K(x \ (y * z),z) * K(z,(y \ x) \ 1) = a(z,(y \ x) \ 1,z). [para(7140(a,1),11291(a,1,2))]. 11293 K(x \ (y * z),z) * K(z,x \ y) = a(z,(y \ x) \ 1,z). [para(5558(a,1),11292(a,1,2))]. 11295 K(x * (y \ z),x) * K(x,y \ z) = a(x,(z \ y) \ 1,x). [para(10726(a,1),11293(a,1,1))]. 11296 a(x,(y \ z) \ 1,x) != u | a(x,z \ y,x) = u. [para(11295(a,1),8904(a,1))]. 11297 K((1 / x) \ (y \ z),1 / (x * T(y \ z,z \ y))) = ((1 / x) \ K(y \ z,z \ y)) * (1 / x). [para(10087(a,1),6880(a,2,1))]. 11298 K((1 / x) \ (y \ z),1 / (x * T(y \ z,z \ y))) = (x * K(y \ z,z \ y)) * (1 / x). [para(5186(a,1),11297(a,2,1))]. 11299 K(R(x,K(y * z,x) * y,z),u \ x) = K(x,((y * z) * R(x,y,z)) / ((u * y) * z)). [hyper(228,a,10790,a(flip),b,6989,a(flip))]. 11301 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(228,a,7323,a(flip),b,9158,a)]. 11302 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(228,a,10716,a(flip),b,10501,a(flip))]. 11303 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(40(a,2),11301(a,1,2,1,2,2))]. 11304 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(228,a,11193,a(flip),b,11302,a)]. 11305 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(228,a,10748,a(flip),b,11304,a)]. 11307 K(L(x,y,z),u \ L(x,y,z)) = K(L(x,y,z),u \ x). [para(2470(a,1),11305(a,1,2))]. 11308 K(x \ L(y,z,u),L(y,z,u)) = (w * K(L(y,z,u),x \ y)) \ w. [para(11307(a,1),5037(a,1,1,2)),flip(a)]. 11309 K(x \ L(y,z,u),L(y,z,u)) = K(x \ y,L(y,z,u)). [hyper(228,a,5037,a(flip),b,11308,a)]. 11310 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(11309(a,1),5924(a,1,1,2))]. 11311 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(10751(a,1),11310(a,1,1,2))]. 11312 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(51(a,1),11311(a,1,1,2,1,2))]. 11313 T(L(x * K(x * y,x),z,u),y) = y \ T(L(x,z,u) * y,L(x,z,u)). [para(5819(a,1),11312(a,1,1))]. 11314 L(T(x * K(x * y,x),y),z,u) = y \ T(L(x,z,u) * y,L(x,z,u)). [hyper(228,a,40,a,b,11313,a(flip)),flip(a)]. 11315 x \ T(L(y,z,u) * x,L(y,z,u)) = L(R(y,x,y),z,u). [para(5397(a,1),11314(a,1,1)),flip(a)]. 11316 R(L(x,y,z),u,L(x,y,z)) = L(R(x,u,x),y,z). [hyper(4047,a,11315,a)]. 11317 (x * y) * L(R(z,u,z),y,x) = x * (y * R(z,u,L(z,y,x))). [para(11316(a,1),451(a,1,2))]. 11318 K(x,L(R(y,z,y),u,w)) != v5 | K(x,L(y,u,w)) = v5. [para(11316(a,1),7099(a,1,2))]. 11319 K(L(x,y * (x \ z),u),y) != w | K(x,L(y,z,u)) = w. [para(10482(a,1),11318(a,1))]. 11320 x * R(y,z,L(y,x,u)) = x * R(y,z,y). [hyper(436,a,11317,a),flip(a)]. 11321 R(x,y,L(x,z,u)) = R(x,y,x). [hyper(331,a,11320,a),flip(a)]. 11323 (x * (y * R(z,u,z))) / (x * (y * z)) = a(L(z,y,x),u,L(z,y,x)). [para(11320(a,1),10356(a,1,1,2))]. 11324 T(x * K(y * x,x),y) = R(x,y,L(x,z,u)). [hyper(228,a,4836,a,b,11321,a),flip(a)]. 11327 K(x * L(y,z,u),y) = (w * T(y,x)) \ (w * R(y,x,y)). [para(11321(a,1),9994(a,1,2,2)),flip(a)]. 11328 T(R(x,y,z) * K(u * x,R(x,y,z)),u) = R(R(x,y,z),u,L(R(x,y,z),w,v5)). [para(11128(a,1),11324(a,1,1,2))]. 11329 K(x * L(y,z,u),y) = K(y * x,y). [hyper(228,a,7345,a(flip),b,11327,a)]. 11331 K(x \ L(y,z,u),y) = K(y * (x \ 1),y). [hyper(5801,a,11329,a)]. 11332 K(x * L(y,z,u),y) = K(x,y) * a(y,x,y). [hyper(228,a,8894,a,b,11329,a)]. 11333 K(x * (L(x,y,z) \ u),x) = K(u,x). [hyper(228,a,7397,a(flip),b,11329,a(flip))]. 11335 K(L(x,y,z) \ u,x) = K(x \ u,x). [hyper(228,a,10733,a(flip),b,11333,a(flip)),flip(a)]. 11336 K(x / L(y,z,u),y) = K(y \ x,y). [hyper(8170,a,11335,a)]. 11337 K(x \ (y * (z * x)),x) = K(y * z,x). [para(136(a,1),11336(a,1,1)),flip(a)]. 11338 K(x \ (y * (x * z)),x) = K(y * z,x). [hyper(228,a,8574,a(flip),b,11337,a(flip)),flip(a)]. 11339 K(x \ (y * z),x) = K(y * (x \ z),x). [para(14(a,1),11338(a,1,1,2,2))]. 11340 K(x * (y \ (x \ z)),y) = K(y \ z,y). [para(57(a,1),11338(a,1,1,2)),flip(a)]. 11342 (x \ (y * z)) * K(y \ (y * z),y) = x \ (z * y). [para(11340(a,1),9605(a,1,2))]. 11343 K(x \ L(y,z,u),y) = K(x \ y,y). [hyper(228,a,5330,a(flip),b,11331,a)]. 11344 K(x / (L(y,z,u) \ w),y) = K((w / x) \ y,y). [hyper(11215,a,11343,a)]. 11345 K(x \ (y * L(z,u,w)),z) = K((y \ x) \ z,z). [hyper(228,a,10896,a(flip),b,11343,a(flip)),flip(a)]. 11346 (L(x,y,z) * K((u \ x) \ x,x)) * u = (x \ (L(x,y,z) * u)) * x. [para(11343(a,1),9604(a,1,1,2))]. 11347 a(x,y,L(x,z,u)) = a(x,y,x). [hyper(10018,a,11332,a)]. 11348 (x / y) * R(y,z,y) = x * a(y,z,L(y,u,w)). [para(11347(a,2),9811(a,2,2))]. 11350 K(x / (y \ z),y) = K((z / x) \ y,y). [para(333(a,1),11344(a,1,1,2,1))]. 11351 K((x * y) / z,x) = K((z / y) \ x,x). [hyper(9520,a,11350,a)]. 11352 L(K(x * y,T(x,z)),y,z) = K((z / (z * y)) \ x,x). [hyper(228,a,11242,a,b,11350,a(flip)),flip(a)]. 11353 K(x \ (y * z),T(y,z)) = K((x / z) \ y,y). [hyper(228,a,9517,a,b,11350,a(flip)),flip(a)]. 11354 K(((x \ 1) \ y) / z,x) = K((z / y) \ x,x). [hyper(228,a,10214,a,b,11351,a(flip)),flip(a)]. 11355 K(x \ (y * z),T(z,y)) = K((x / y) \ z,z). [hyper(228,a,8644,a,b,11353,a(flip)),flip(a)]. 11356 K((x / ((y \ 1) * z)) \ y,y) = K(z / x,y). [para(13(a,1),11354(a,1,1,1)),flip(a)]. 11357 K((x \ y) \ z,T(z,x)) = K((y / x) \ z,z). [hyper(228,a,8433,a,b,11355,a(flip)),flip(a)]. 11358 K(x / (y * ((z \ 1) * x)),z) = K(y \ z,z). [para(15(a,1),11356(a,1,1,1)),flip(a)]. 11359 K(((x * y) / x) \ z,z) = K(y \ z,T(z,x)). [para(13(a,1),11357(a,1,1,1)),flip(a)]. 11360 K(x / (y * ((z \ 1) * x)),(z \ 1) \ 1) = K(y \ z,z). [hyper(3238,a,11358,a)]. 11361 K(x * (y \ K(y,z)),x) = K(y \ x,T(x,z)). [hyper(228,a,5331,a(flip),b,11359,a(flip)),flip(a)]. 11362 K((x \ K(x,y)) * z,z) = K(x \ z,T(z,y)). [hyper(7391,a,11361,a)]. 11364 K(x \ (y * L(z,u,w)),z) = K(z * (x \ y),z). [hyper(228,a,10731,a(flip),b,11345,a)]. 11365 (x / y) * R(y,z,L(y,u,w)) = x * a(y,z,L(y,v5,v6)). [para(11321(a,2),11348(a,1,2))]. 11366 K(x \ (y * (z * u)),u) = K(u * (x \ (y * z)),u). [para(100(a,1),11364(a,1,1,2))]. 11367 (x \ (y * z)) * K(z,y) = x \ (z * y). [para(13(a,1),11342(a,1,2,1))]. 11369 R(x,y,z) \ (z * (x * y)) = (y * z) * K(z,x * y). [para(141(a,1),11367(a,1,1)),flip(a)]. 11372 K(x \ (y \ (z * (u * y))),y) = K(y * ((x * y) \ (z * u)),y). [hyper(8353,a,11366,a)]. 11373 K(x \ (y * (z * u)),z) = K(z * (x \ (y * u)),z). [hyper(228,a,8574,a(flip),b,11366,a(flip)),flip(a)]. 11374 K(((x \ y) \ z) * u,L(u,z,x)) = K(u * (y \ (x * z)),u). [hyper(228,a,10768,a,b,11373,a(flip)),flip(a)]. 11375 L(K(x * y,T(y,z)),x,z) = K((z / (z * x)) \ y,y). [para(6428(a,2),11352(a,1,1))]. 11376 R(x,y,z) \ (z * (x * y)) = y * T(z,x * y). [hyper(228,a,5199,a(flip),b,11369,a)]. 11377 K(x \ (y / ((z \ 1) * y)),z) = K(x \ z,z). [hyper(10419,a,11360,a)]. 11378 K(x \ R(y \ 1,y,z),y \ 1) = K(x \ (y \ 1),y \ 1). [para(3306(a,2),11377(a,1,1,2))]. 11380 K(x / (y * (z * x)),z \ 1) = K(y \ (z \ 1),z \ 1). [hyper(228,a,10416,a(flip),b,11378,a(flip)),flip(a)]. 11382 K(x \ ((y * z) \ z),y \ 1) = K(x \ (y \ 1),y \ 1). [hyper(228,a,10418,a(flip),b,11380,a(flip)),flip(a)]. 11384 K((x \ 1) \ (y \ 1),y \ 1) = K(x * ((y * z) \ z),y \ 1). [hyper(228,a,5637,a(flip),b,11382,a(flip))]. 11385 K(x \ (y \ (z * (u * y))),y) = K(x \ (z * u),y). [hyper(228,a,10730,a(flip),b,11372,a)]. 11386 K(L(x,y * z,u),y) = K((u * z) \ (u * (z * x)),y). [hyper(228,a,9746,a(flip),b,11385,a(flip)),flip(a)]. 11387 K(L(x,y * z,u),y) = K(L(x,z,u),y). [para(28(a,2),11386(a,2,1))]. 11388 K(L(x,x \ y,z),u) = K(x,L(u,y,z)). [hyper(11319,a,11387,a),flip(a)]. 11389 L(K(x,y),z,u) = K(x,L(y,z,u)). [hyper(10680,a,11388,a)]. 11390 K(x,L(y,z,u)) != w | L(K(x,y),z,u) = w. [para(11388(a,1),10680(a,1))]. 11391 K(x,(y * ((y \ z) / u)) \ z) = K(x,L(u,y \ z,y)). [hyper(6782,a,11389,a)]. 11392 K(x,L(y,z * x,u)) = K(L(x,z,u),y). [hyper(6346,a,11389,a),flip(a)]. 11393 K(L(x,y,z),u) \ 1 = L(K(u,x),y,z). [hyper(228,a,4879,a,b,11389,a),flip(a)]. 11394 K(x,L(y,y \ z,u)) = K(x,L(y,z,u)). [hyper(228,a,8951,a,b,11389,a(flip)),flip(a)]. 11395 K(x,L(y,z,z \ 1)) = K(x,y). [hyper(228,a,5282,a(flip),b,11389,a(flip))]. 11397 (x * y) * K(z,L(u,y,x)) = x * (y * K(z,u)). [para(11389(a,1),100(a,1,2))]. 11398 L(K(x,y \ (z \ u)),y,z) = K(x,(z * y) \ u). [para(222(a,1),11389(a,2,2))]. 11399 L(K(x,(y \ z) \ u),y \ z,y) = K(x,z \ (y * u)). [para(458(a,1),11389(a,2,2))]. 11400 (x * (y * K(z,u))) / T(x * y,K(z,L(u,y,x))) = L(K(z,u),y,x). [para(11389(a,1),443(a,1,2,2))]. 11401 K(x,y) \ (K(x,L(y,z,u)) \ (w * K(x,y))) = L(K(x,y),z,u) \ T(w,K(x,y)). [para(11389(a,1),1374(a,1,2,1))]. 11403 x / L(K(y,z),u,w) = x * K(L(z,u,w),y). [para(11389(a,2),5063(a,1,2))]. 11404 K(x,L(y,x,z)) != u | K(x,y) = u. [para(11389(a,1),5513(a,1))]. 11405 T(L(K(x,y),z,u) \ w,K(x,L(y,z,u))) = w / L(K(x,y),z,u). [para(11389(a,1),8592(a,1,2))]. 11406 K(x,y) * K(y,L(x,z,u)) = a(u,z,K(x,y)). [para(11389(a,1),9676(a,1,2))]. 11407 a(x,y,K(z,u)) * K(z,L(u,y,x)) = K(z,u). [para(11389(a,1),9680(a,1,2))]. 11408 K(x,L(y,z,u)) * K(y,x) = a(u,z,K(y,x)). [para(11389(a,1),9682(a,1,1))]. 11409 K(x,L(y,z,u)) * K(y,x) != w | a(u,z,K(y,x)) = w. [para(11389(a,1),9698(a,1,1))]. 11412 K(x,K(y,z * (u \ 1))) != w | K(x,K(y,z / u)) = w. [para(5420(a,1),11404(a,1,2))]. 11414 L(K(x,y),z,u) != w | K(x,L(y,z,u)) = w. [para(11393(a,1),4887(a,1))]. 11415 T(x,L(y,y \ z,u)) = x * K(x,L(y,z,u)). [para(11394(a,1),4705(a,2,2))]. 11417 K(x,(y * ((y \ z) / u)) \ z) != w | K(x,L(u,y \ z,y)) = w. [para(6312(a,2),11414(a,1))]. 11420 L(K(x,y),z,u) = K(L(x,z,u),y). [hyper(6440,a,11403,a)]. 11421 K(L(x,y,z),u) = K(x,L(u,y,z)). [hyper(11414,a,11420,a),flip(a)]. 11422 K(x,y) * K(L(y,z,u),x) = a(u,z,K(x,y)). [para(11420(a,1),9676(a,1,2))]. 11424 K(x,L(y,z * x,u)) = K(x,L(y,z,u)). [hyper(228,a,11392,a,b,11421,a(flip)),flip(a)]. 11425 K(L(x,y,z),u) != w | L(K(x,u),y,z) = w. [para(11421(a,2),11390(a,1))]. 11426 K(x \ y,L(z,y,u)) = K(x \ y,L(z,x,u)). [para(14(a,1),11424(a,1,2,2))]. 11427 K(x,K(y,L(z,u,w))) != v5 | L(K(z,K(x,y)),u,w) = v5. [para(7728(a,2),11425(a,1))]. 11428 a(x,y * z,K(z,u)) = a(x,y,K(z,u)). [hyper(9699,a,11406,a)]. 11429 a(x,y,K(z,u)) != w | K(u,L(z,y,x)) * K(z,u) = w. [para(11406(a,1),1764(a,1))]. 11431 a(x,y * z,K(u,K(w,z))) = a(x,y,K(z,K(u,w))). [para(7728(a,2),11428(a,1,3))]. 11432 a(x,y,K(z,u)) != w | K(z,u) * K(u,L(z,y,x)) = w. [para(11408(a,1),1759(a,1))]. 11433 T(x,L(y,z,u)) * K(y,x) = x * a(u,z,K(y,x)). [para(11408(a,1),4675(a,1,2)),flip(a)]. 11434 K(x,L(y,z,u)) * K(y,x) = a(u,z * x,K(y,x)). [para(11424(a,1),11408(a,1,1))]. 11435 T(x,L(y,y \ z,u)) = T(x,L(y,z,u)). [hyper(228,a,4705,a,b,11415,a)]. 11436 a(x,y * z,K(u,z)) = a(x,y,K(u,z)). [hyper(9700,a,11422,a)]. 11437 (x * y) / T(x,L(y,z,u)) = y * a(u,z,K(x,y)). [para(11422(a,1),5697(a,1,2)),flip(a)]. 11438 x * a(y,z,K(u,x)) != w | (u * x) / T(u,L(x,z,y)) = w. [para(11422(a,1),5739(a,1,2))]. 11439 K(x,K(y,z)) * K(x,K(z,L(y,u,w))) = a(w,u,K(x,K(y,z))). [para(8521(a,1),11422(a,1,2))]. 11440 a(x,y,K(z,u)) != w | a(x,y * u,K(z,u)) = w. [para(11422(a,1),9700(a,1))]. 11441 x / T(x / y,L(y,z,u)) = y * a(u,z,K(y \ x,y)). [para(11436(a,1),9849(a,2,2))]. 11442 K((x \ (y \ z)) \ u,L(x,u,y)) = K((x \ (y \ z)) \ u,(y * ((y \ z) / x)) \ z). [para(10679(a,1),11426(a,2,2))]. 11443 a(x,y * ((1 / z) / u),K(w,K(v5,u * z))) = a(x,y,K((1 / z) / u,K(w,v5))). [para(8103(a,1),11431(a,1,3))]. 11444 (x * L(y,x,y)) / T(T(x,y),L(T(y,x * y),z,u)) = T(y,x * y) * a(u,z,K(T(x,y),T(y,x * y))). [para(4127(a,1),11437(a,1,1))]. 11445 K(((x \ y) / z) \ y,L(z,x \ y,x)) = K(((x \ y) / z) \ y,z). [hyper(228,a,9468,a(flip),b,11391,a(flip))]. 11446 a(x,y * z,K(u,z)) != w | a(x,y,K(u,z)) = w. [para(11434(a,1),11409(a,1))]. 11447 K(x,K(y,z * (1 / u))) != w | K(x,K(y,z / u)) = w. [para(5379(a,2),11412(a,1,2))]. 11449 L(x,y,z) \ ((u / x) \ (L(x,y,z) * (x \ u))) = x \ (x * a(z,y,K(x \ u,x))). [para(11441(a,1),9385(a,2,2))]. 11450 K(x * ((y * z) \ z),y \ 1) = K(x * (y \ 1),y \ 1). [hyper(228,a,5637,a(flip),b,11384,a(flip))]. 11451 K(x * ((y * z) \ z),y \ 1) = K(y \ x,y \ 1). [hyper(228,a,5649,a(flip),b,11450,a)]. 11453 a(x,y,K(z,K(u,w))) != v5 | K(z,K(w,L(u,y,x))) * K(z,K(u,w)) = v5. [para(11439(a,1),5991(a,1))]. 11454 T(L(K(x,y),z,u) * w,K(y,L(x,z,u))) = w / L(K(y,x),z,u). [para(6445(a,1),11405(a,1,1))]. 11455 K(((x \ y) \ y) * z,L(z,x \ y,x)) = K(((x \ y) / z) \ y,z). [hyper(228,a,10769,a(flip),b,11445,a(flip)),flip(a)]. 11456 T(L(K(x,y),z,u) * w,K(y,L(x,z,u))) = w * L(K(x,y),z,u). [hyper(228,a,6434,a(flip),b,11454,a)]. 11457 T(x * L(K(y,z),u,w),K(z,L(y,u,w))) = L(K(y,z),u,w) * x. [para(11456(a,1),7789(a,1,1))]. 11458 L(a(x,y,x),z * x,u) = a(L(x,z,u),y,L(x,z,u)). [hyper(228,a,9824,a(flip),b,11323,a(flip)),flip(a)]. 11461 a(L(x,y / x,z),u,L(x,y / x,z)) = L(a(x,u,x),y,z). [para(16(a,1),11458(a,1,2)),flip(a)]. 11462 (x \ (L(x,y,z) * u)) * x = (L(x,y,z) * K(u,x)) * u. [para(5501(a,1),11346(a,1,1,2)),flip(a)]. 11463 (x \ (L(x,y,z) * u)) * x = L(x,y,z) * T(u,x). [hyper(228,a,5177,a(flip),b,11462,a)]. 11464 (L(x,y,z) * (x \ u)) * x = L(x,y,z) * T(u,x). [para(1359(a,1),11463(a,1,1))]. 11465 (x / y) \ (L(y,z,u) * (y \ x)) = x \ (L(y,z,u) * T(x,y)). [para(11464(a,1),9883(a,2,2))]. 11466 (x / y) \ (L(y,z,u) * (y \ x)) = T(L(y,z,u) * K(x,y),x). [hyper(228,a,5214,a(flip),b,11465,a)]. 11467 (x * (y * K(z,u))) / T(x * y,K(z,u)) = L(K(z,u),y,x). [para(9135(a,1),11400(a,1,2))]. 11468 T(x * y,K(z,u)) \ (x * (y * K(z,u))) = T(L(K(z,u),y,x),T(x * y,K(z,u))). [para(11467(a,1),115(a,1,1)),flip(a)]. 11469 K(T(x * y,K(z,u)),T(x * y,K(z,u)) \ (x * (y * K(z,u)))) = T(x * y,K(z,u)) / ((x * (y * K(z,u))) / L(K(z,u),y,x)). [para(11467(a,1),4870(a,1,2,2)),flip(a)]. 11470 T(R(x * K(y * x,x),z,u),y) = R(R(x,z,u),y,L(R(x,z,u),w,v5)). [para(5822(a,1),11328(a,1,1))]. 11471 T(R(x * K(x * y,x),z,u),y) = R(R(x,z,u),y,L(R(x,z,u),w,v5)). [para(5647(a,1),11470(a,1,1,1,2))]. 11472 R(T(x * K(x * y,x),y),z,u) = R(R(x,z,u),y,L(R(x,z,u),w,v5)). [hyper(228,a,42,a,b,11471,a(flip)),flip(a)]. 11473 R(R(x,y,z),u,L(R(x,y,z),w,v5)) = R(R(x,u,x),y,z). [para(5397(a,1),11472(a,1,1)),flip(a)]. 11474 R(R(x,y,z),u,R(x,y,z)) = R(R(x,u,x),y,z). [hyper(228,a,11321,a(flip),b,11473,a(flip)),flip(a)]. 11475 (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(11473(a,1),11365(a,1,2))]. 11476 (R(x,y,R(x,z,u)) * z) * u = R(R(x,y,x),z,u) * (z * u). [para(11474(a,1),483(a,1,1)),flip(a)]. 11477 (R(x,y,R(x,z,u)) * z) * u = (R(x,y,x) * z) * u. [hyper(228,a,109,a(flip),b,11476,a)]. 11478 (R(T(x,y),z,T(x,y)) * u) * w = (R(T(x,y),z,R(x,u,w)) * u) * w. [para(10234(a,1),11477(a,1,1,1)),flip(a)]. 11479 K(x,y) \ (K(L(y,z,u),x) * (w * K(x,y))) = L(K(x,y),z,u) \ T(w,K(x,y)). [para(5035(a,1),11401(a,1,2))]. 11480 K(x,y) \ (K(y,L(x,z,u)) * (w * K(x,y))) = L(K(x,y),z,u) \ T(w,K(x,y)). [para(11421(a,1),11479(a,1,2,1))]. 11481 K(x,y) \ (T(y,L(x,z,u)) * K(x,y)) = L(K(x,y),z,u) \ T(y,K(x,y)). [para(4720(a,1),11480(a,1,2))]. 11482 L(K(x,y),z,u) \ T(y,K(x,y)) = K(x,y) \ (y * a(u,z,K(x,y))). [para(11433(a,1),11481(a,1,2)),flip(a)]. 11483 K((x \ (y \ z)) \ u,(y * ((y \ z) / x)) \ z) = K(((y \ z) \ u) * x,L(x,u,y)). [hyper(228,a,10766,a(flip),b,11442,a(flip))]. 11484 L(x,y,z) \ T(L(x,y,z) * K(u,x),u) = x \ (x * a(z,y,K(x \ u,x))). [para(11466(a,1),11449(a,1,2))]. 11485 x \ (x * a(y,z,K(x \ u,x))) = K(L(x,z,y),u) * K(u,x). [hyper(7581,a,11484,a),flip(a)]. 11486 x \ (x * a(y,z,K(x \ u,x))) = K(x,L(u,z,y)) * K(u,x). [para(11421(a,1),11485(a,2,1))]. 11487 x \ (x * a(y,z,K(x \ u,x))) = a(y,z,K(u,x)). [hyper(228,a,11408,a(flip),b,11486,a)]. 11488 a(x,y,K(z \ u,z)) = a(x,y,K(u,z)). [hyper(284,a,11487,a),flip(a)]. 11490 a(x,y,K(z * u,z)) = a(x,y,K(u,z)). [para(13(a,1),11488(a,1,3,1)),flip(a)]. 11491 a(x,y,K(z * u,u)) = a(x,y,K(z,u)). [para(4881(a,1),11488(a,1,3)),flip(a)]. 11492 a(x,y,K(z,u \ z)) = a(x,y,K(u,u \ z)). [para(4883(a,1),11488(a,1,3)),flip(a)]. 11493 a(x,y,K(z \ 1,u)) = a(x,y,K(z \ u,u)). [para(5617(a,1),11488(a,1,3))]. 11494 a(x,y,K(z * u,z)) \ K(w,z) = K(w,z) * a(x,y,K(z,u)). [para(11490(a,2),9967(a,1,1))]. 11495 a(x,y,K(x * z,z)) = 1. [hyper(228,a,7007,a(flip),b,11491,a)]. 11496 L(K(x * y,y),z,u) \ T(y,K(x * y,y)) = K(x * y,y) \ (y * a(u,z,K(x,y))). [para(11491(a,1),11482(a,2,2,2))]. 11497 L(K(x * y,y),z,x) = K(x * y,y). [hyper(33,a,11495,a)]. 11498 x * (y * K(x * z,T(z,x * y))) = K(x * z,z) * (x * y). [para(11497(a,1),7178(a,2,1))]. 11499 a(x,y,K(z,z * u)) = a(x,y,K(z,u)). [hyper(9970,a,11494,a)]. 11500 a(x,y,K(z,z \ u)) = a(x,y,K(z,u)). [para(14(a,1),11499(a,1,3,2)),flip(a)]. 11501 a(x,y,K(z,u \ z)) = a(x,y,K(u,z)). [hyper(228,a,11492,a,b,11500,a(flip)),flip(a)]. 11502 a(x,y,K(z \ u,u)) = a(x,y,K(u,z)). [para(5107(a,1),11501(a,1,3)),flip(a)]. 11503 a(x,y,K(z \ 1,u)) = a(x,y,K(u,z)). [hyper(228,a,11493,a,b,11502,a(flip)),flip(a)]. 11504 a(x,y,K(z \ (u \ 1),w)) = a(x,y,K(w,u * z)). [para(118(a,1),11503(a,1,3,1))]. 11505 a(x,y,K(z \ u,w)) = a(x,y,K(w,u \ z)). [para(5601(a,1),11503(a,1,3))]. 11506 x * (y * K(x * z,T(z,y))) = K(x * z,z) * (x * y). [para(8423(a,1),11498(a,1,2,2))]. 11507 K(x * y,y) * (x * z) = x * (K(x * y,y) * z). [hyper(228,a,7280,a(flip),b,11506,a(flip))]. 11508 x * (K(x * y,y) * (K(y,x) * z)) = a(y,x,y) * (x * z). [hyper(228,a,9488,a(flip),b,11507,a(flip))]. 11509 a(x,y,x) * (y * z) = y * (a(x,y,x) * z). [para(9485(a,1),11508(a,1,2)),flip(a)]. 11510 x * (a(y,x,y) * (x \ z)) = a(y,x,y) * z. [hyper(302,a,11509,a),flip(a)]. 11511 T(x * y,K(z,u)) \ (x * (y * K(z,u))) = L(T(K(z,u),x * y),y,x). [hyper(228,a,3942,a(flip),b,11468,a)]. 11512 T(x * y,K(z,u)) \ (x * (y * K(z,u))) = L(K(z,T(u,x * y)),y,x). [para(7152(a,2),11511(a,2,1))]. 11513 K((x \ (y \ z)) \ u,(y * ((y \ z) / x)) \ z) = K(x * (z \ (y * u)),x). [hyper(228,a,11374,a(flip),b,11483,a)]. 11514 K((x \ (y \ z)) \ u,L(x,y \ z,y)) = K(x * (z \ (y * u)),x). [hyper(11417,a,11513,a)]. 11515 K(((x \ y) \ z) * u,L(u,x \ y,x)) = K(u * (y \ (x * z)),u). [hyper(228,a,10766,a(flip),b,11514,a(flip)),flip(a)]. 11516 K(((x \ y) / z) \ y,z) = K(z * (y \ (x * y)),z). [hyper(228,a,11455,a(flip),b,11515,a(flip)),flip(a)]. 11517 K(((x \ y) / z) \ y,z) = K(z * T(x,y),z). [para(32(a,2),11516(a,2,1,2))]. 11518 K(x * ((y \ z) \ z),x) = K(x * T(y,z),x). [hyper(228,a,10728,a(flip),b,11517,a(flip)),flip(a)]. 11519 K(x,x * ((y \ z) \ z)) = u / (K(x * T(y,z),x) * u). [para(11518(a,1),5040(a,1,2,1)),flip(a)]. 11520 T(x,x * K(y * T(z,u),y)) \ T(K(y,y * ((z \ u) \ u)) * x,x) = K(y,T(y * ((z \ u) \ u),x)). [para(11518(a,1),10877(a,1,1,2,2))]. 11521 K(x,x * ((y \ z) \ z)) = K(x,x * T(y,z)). [hyper(228,a,5040,a(flip),b,11519,a)]. 11522 L(K(x * y,y),z,u) \ T(y,K(x * y,y)) = T(y,x * y) * a(u,z,K(x,y)). [hyper(228,a,4987,a(flip),b,11496,a)]. 11523 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(40(a,2),11303(a,1,2,1,2,2,1))]. 11524 T(x,x * K(y * T(z,u),y)) \ T(K(y,y * T(z,u)) * x,x) = K(y,T(y * ((z \ u) \ u),x)). [para(11521(a,1),11520(a,1,2,1,1))]. 11525 K(x,T(x * ((y \ z) \ z),u)) = K(x,T(x * T(y,z),u)). [hyper(228,a,10877,a(flip),b,11524,a(flip))]. 11526 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(228,a,10475,a(flip),b,11523,a(flip)),flip(a)]. 11528 K(x,y \ L(L(T(x,z),u,w),v5,v6)) = K(x,y \ L(L(x,u,w),v5,v6)). [para(64(a,1),11526(a,1,2))]. 11530 (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(3996(a,1),4007(a,2,2,1,1))]. 11531 (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(228,a,2753,a(flip),b,11530,a)]. 11532 (T(x,y) * R(T(x,y) \ (x * y),z,u)) / (x * y) = R(R(y,z,u) / y,y,x). [para(1675(a,1),11531(a,2,1))]. 11533 (T(x,y) * R(T(y,x),z,u)) / (x * y) = R(R(y,z,u) / y,y,x). [para(3926(a,1),11532(a,1,1,2,1))]. 11534 (R(x,y,z) * T(u,x)) / (u * x) = R(R(x,y,z) / x,x,u). [para(3949(a,1),11533(a,1,1))]. 11535 R(R(x,y,x) / x,x,z) = (z * R(x,y,x)) / (z * x). [para(7090(a,1),11534(a,1,1)),flip(a)]. 11536 (x * R(y,z,y)) / (x * y) = R(a(y,z,y),y,x). [para(8879(a,1),11535(a,1,1)),flip(a)]. 11537 R(a(x,y,x),x,z) = a(x,y,x). [hyper(9816,a,11536,a),flip(a)]. 11539 ((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(228,a,480,a,b,11537,a(flip)),flip(a)]. 11540 (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(8882(a,1),11539(a,1,1,1))]. 11541 ((R(x,y,R(x,z,u)) * z) * u) / ((x * z) * u) = a(R(x,z,u),y,R(x,z,u)). [para(483(a,1),11540(a,1,1))]. 11542 ((R(x,y,x) * z) * u) / ((x * z) * u) = a(R(x,z,u),y,R(x,z,u)). [para(11477(a,1),11541(a,1,1))]. 11543 a(R(x,y,z),u,R(x,y,z)) != w | R(a(x,u,x),x * y,z) = w. [para(11542(a,1),9833(a,1))]. 11544 L(x,T(y / T(x,y),z),x) * T(y / T(x,y),z) = T(y / T(x,y),z) * T(x,x * T(x \ y,z)). [para(4196(a,1),4069(a,1,2)),flip(a)]. 11545 T(x / T(y,x),z) * T(y,y * T(y \ x,z)) = y * T(y \ x,z). [hyper(10380,a,11544,a),flip(a)]. 11546 (x * K(y,x)) * (T(x,z) * (x \ K(x,y))) = T((x * K(y,x)) * (K(y,x) \ 1),z). [para(5702(a,1),5140(a,1,1,2,1)),flip(a)]. 11547 (x * K(y,x)) * (T(x,z) * (x \ K(x,y))) = T((x * K(y,x)) * K(x,y),z). [para(4879(a,1),11546(a,2,1,2))]. 11549 (x * K(y,x)) * (T(x,z) * (x \ K(x,y))) = T(x,z). [para(5062(a,1),11547(a,2,1))]. 11550 T(x,y) / (T(x,y) * (x \ K(x,z))) = x * K(z,x). [hyper(85,a,11549,a)]. 11551 T(x,y) * T(x \ K(x,z),(x \ K(x,z)) \ 1) = T(x * K(z,x),x \ K(x,z)) \ T(x,y). [para(11550(a,1),3119(a,1,1,1)),flip(a)]. 11552 T(x,y) * T(x \ K(x,z),(x \ K(x,z)) \ 1) = ((x \ 1) \ K(z,x)) \ T(x,y). [para(6394(a,1),11551(a,2,1))]. 11553 T(x,y) * T(x \ K(x,z),(x \ 1) \ K(z,x)) = ((x \ 1) \ K(z,x)) \ T(x,y). [para(5127(a,1),11552(a,1,2,2))]. 11554 T(x,y) * T(x \ K(x,z),T(x,z)) = ((x \ 1) \ K(z,x)) \ T(x,y). [para(7944(a,1),11553(a,1,2))]. 11555 ((x \ 1) \ K(y,x)) \ T(x,z) = T(x,z) * T(x \ K(x,y),x). [para(8052(a,1),11554(a,1,2)),flip(a)]. 11556 ((x \ 1) \ K(y,x)) \ T(x,z) = (x \ K(x,y)) * T(x,z). [hyper(228,a,8279,a(flip),b,11555,a)]. 11558 (((x \ K(x,y)) \ 1) \ T(x,z)) \ K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ K(x,y)) \ 1)) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). [para(11556(a,2),2837(a,1,2,1))]. 11559 K((x \ y) \ 1,((z \ K(z,u)) * T(z,w)) \ 1) = K(y \ x,T(z,w) \ ((z \ 1) \ K(u,z))). [para(11556(a,1),5612(a,1,2,1))]. 11560 K((x * (K(y,x) / T(x,z))) \ 1,((u \ K(u,w)) * T(u,v5)) \ 1) = K(((x \ 1) \ K(y,x)) \ T(x,z),T(u,v5) \ ((u \ 1) \ K(w,u))). [para(8549(a,1),11559(a,1,1,1))]. 11561 T(K(x,y) * (y \ (T(y,x) / z)),u) \ K(K(y,x) \ (y \ (T(y,x) / z)),u) = R(z,T(y,x) \ 1,y). [para(4894(a,1),6427(a,1,1,1,1))]. 11562 T(T(x,y) \ (T(x,y) / z),u) \ K(K(x,y) \ (x \ (T(x,y) / z)),u) = R(z,T(x,y) \ 1,x). [para(5004(a,1),11561(a,1,1,1))]. 11563 T(T(x,y) \ (T(x,y) / z),u) \ K(T(x,y) \ (T(x,y) / z),u) = R(z,T(x,y) \ 1,x). [para(4718(a,1),11562(a,1,2,1))]. 11564 R(x,T(y,z) \ 1,T(y,z)) = R(x,T(y,z) \ 1,y). [hyper(4862,a,11563,a)]. 11565 (x * T(y,z)) / ((T(y,z) \ 1) * T(y,z)) = R(x / (T(y,z) \ 1),T(y,z) \ 1,y). [hyper(228,a,110,a(flip),b,11564,a(flip)),flip(a)]. 11566 (x * T(y,z)) / ((T(y,z) \ 1) * T(y,z)) = R((1 / x) \ T(y,z),T(y,z) \ 1,y). [para(317(a,1),11565(a,2,1))]. 11567 (x * T(y,z)) / ((T(y,z) \ 1) * T(y,z)) = (y \ (1 / x)) \ K(y,z). [hyper(228,a,6289,a(flip),b,11566,a)]. 11568 (x * T(y,z)) / K(y \ 1,y) = (y \ (1 / x)) \ K(y,z). [para(2530(a,1),11567(a,1,2))]. 11569 (x * T(y,z)) * K(y,y \ 1) = (y \ (1 / x)) \ K(y,z). [hyper(5067,a,11568,a)]. 11571 x * (K(y,z) * T(y,y \ 1)) = (y \ (1 / x)) \ K(y,z). [hyper(228,a,6511,a(flip),b,11569,a(flip)),flip(a)]. 11572 (x \ (1 / y)) \ K(x,z) = y * ((x \ K(z,x)) \ 1). [para(4902(a,1),11571(a,1,2)),flip(a)]. 11573 (x \ (1 / y)) \ K(x,z) = y * T(T(x,x \ 1),z). [para(4808(a,1),11572(a,2,2))]. 11574 K(x,(y * T(T(z,z \ 1),u)) * w) = K(x,(T(z,u) \ (1 / y)) \ w). [para(11573(a,1),6167(a,1,2,1))]. 11575 K(x,(y * T(T(z,z \ 1),u)) * w) = K(x,(y * T(z,u)) * w). [hyper(228,a,6872,a(flip),b,11574,a)]. 11576 (T(x * y,z) * L(u,y,x)) \ (T(x * y,z) * u) = L(a(x,y,u),x * (y * u),K(x * y,z)). [para(4720(a,1),6471(a,1,2))]. 11577 K(x * y,K(z,L(a(x,y,u),x * (y * u),K(x * y,w)))) = K(x * y,K(z,(T(x * y,w) * u) \ L(u,y,x))). [para(11576(a,1),9236(a,1,2,2))]. 11578 (x \ 1) * (R(K(y,x),x \ K(x,y),z) * z) = (K(y,x) * (x \ 1)) * z. [para(6559(a,1),6960(a,2,1,1))]. 11579 (x \ 1) * (R(K(y,x),x \ K(x,y),z) * z) = (T(x,y) \ 1) * z. [para(5004(a,1),11578(a,2,1))]. 11581 (x \ 1) * (R(K(y,x),x \ 1,z) * z) = (T(x,y) \ 1) * z. [para(6959(a,1),11579(a,1,2,1))]. 11582 (x \ 1) * (K(y,x) * z) = (T(x,y) \ 1) * z. [para(10227(a,1),11581(a,1,2,1))]. 11583 T(x,y) * ((T(x,y) \ 1) * z) = L(z,x \ 1,x). [para(11582(a,1),6562(a,1,2))]. 11585 L(x,T(y,z) \ 1,y) = L(x,y \ 1,y). [hyper(228,a,4180,a(flip),b,11583,a(flip)),flip(a)]. 11586 L(x,((y \ z) \ z) \ 1,(y \ z) \ z) = L(x,y \ 1,y). [hyper(11162,a,11585,a)]. 11588 ((x \ y) \ y) \ L(z,x \ 1,x) = (((x \ y) \ y) \ 1) * z. [hyper(71,a,11586,a(flip),b,190,a)]. 11589 K(x,L(y,z \ 1,z) \ z) = K(x,((((z \ x) \ x) \ 1) * y) \ 1). [para(11586(a,1),8706(a,1,2,1))]. 11590 K(x,((((y \ x) \ x) \ 1) * z) \ 1) = K(x,((y \ 1) * z) \ 1). [hyper(5779,a,11589,a),flip(a)]. 11592 K(x,((x \ (y \ x)) * z) \ 1) = K(x,((y \ 1) * z) \ 1). [hyper(228,a,11207,a(flip),b,11590,a(flip)),flip(a)]. 11593 K(x,((y \ 1) * z) \ 1) = K(x,((y \ x) * z) \ x). [hyper(228,a,11161,a(flip),b,11592,a(flip))]. 11594 K(x,((y \ x) * (y / z)) \ x) = L(K(x,z),y,y \ 1). [hyper(228,a,6387,a(flip),b,11593,a(flip))]. 11595 L(K(x,y),z,z \ 1) = L(K(x,y),z,z \ x). [hyper(9219,a,11594,a),flip(a)]. 11596 L(K(x,y),z,z \ x) = K(x,y). [hyper(228,a,5282,a(flip),b,11595,a(flip))]. 11598 L(K(x * y,z),x,y) = K(x * y,z). [para(13(a,1),11596(a,1,3))]. 11599 K(x * y,L(z,x,y)) = K(x * y,z). [hyper(11414,a,11598,a)]. 11600 K((x \ y) * x,(x \ y) \ z) = K((x \ y) * x,y \ (x * z)). [hyper(228,a,11399,a(flip),b,11598,a(flip))]. 11601 R(T(x,K(y,z) * K(z,u)),K(y,z),K(z,u)) = T(L(T(x,K(z,u)),K(z,u),K(y,z)),K(y,z)). [para(179(a,1),8393(a,1,1)),flip(a)]. 11602 R(T(x,K(y,z) * K(z,u)),K(y,z),K(z,u)) = T(T(x,K(z,u)),K(y,z)). [para(10042(a,1),11601(a,2,1))]. 11603 R(T(x,K(y,z) * K(z,u)),K(y,z),K(z,u)) = T(T(x,K(z,u)),K(z,y)). [hyper(228,a,7785,a,b,11602,a)]. 11605 T(T(x,K(y,z)),K(y,u)) = T(x,K(u,y) * K(y,z)). [hyper(228,a,8856,a(flip),b,11603,a(flip))]. 11606 T(T(x,K(y,z)),K(z,u)) = T(x,K(y,z) * K(z,u)). [hyper(7794,a,11605,a)]. 11608 T(T(x,K(y,z)),K(y,u)) = T(x,K(y,z) * K(u,y)). [para(1757(a,2),11605(a,2,2))]. 11609 T(x,K(y,z) * K(z,u)) \ x = K(x,K(z,y)) * K(x,K(z,u)). [para(11605(a,1),9641(a,1,1))]. 11610 T(T(x,K(y,z)),K(z,u)) = T(x,K(z,u) * K(y,z)). [para(1757(a,2),11606(a,2,2))]. 11611 T(T(x,K(y,z)),K(u,R(y,w,v5))) = T(x,K(y,z) * K(R(u,w,v5),y)). [hyper(9310,a,11608,a)]. 11612 T(T(x,K(y,z)),K(y,u)) = T(x,K(y,u) * K(z,y)). [hyper(5427,a,11608,a)]. 11613 x * K(K(y,z) * K(z,u),x) = T(x,K(z,u) * K(y,z)). [hyper(228,a,11202,a,b,11608,a(flip)),flip(a)]. 11614 T(x,K(y,z) * K(R(u,w / u,v5),y)) = T(T(x,R(K(u,y),w,v5)),K(y,z)). [para(9137(a,1),11610(a,1,1,2)),flip(a)]. 11615 K(K(x,y) * K(y,z),K(x,y) \ u) = T(u,K(y,z) * K(x,y)) \ u. [para(11610(a,1),10110(a,2,1))]. 11616 T(x,K(y,z) * K(u,y)) = T(x,K(y,u) * K(z,y)). [hyper(228,a,11608,a(flip),b,11612,a(flip))]. 11617 x * K(x,K(y,z) * K(u,y)) = T(x,K(y,u) * K(z,y)). [hyper(5312,a,11616,a)]. 11619 x * K(K(y,z) * K(u,y),x) = T(x,K(y,z) * K(u,y)). [para(1757(a,2),11613(a,1,2,1))]. 11620 K(K(x,y) * K(y,z),u) = K(u,K(y,x) * K(z,y)). [hyper(17,a,11613,a,b,11617,a),flip(a)]. 11621 T(x,K(y,z) * K(u,y)) != w | T(x,K(y,u) * K(z,y)) = w. [para(11617(a,1),4708(a,1))]. 11622 K(K(x,y) * K(z,x),u) = K(u,K(x,z) * K(y,x)). [para(1757(a,2),11620(a,1,1))]. 11623 K(K(x,y) * K(z,x),u) = K(u,K(y,x) * K(x,z)). [para(1757(a,1),11622(a,2,2))]. 11624 K(K(x,y) * K(z,x),u) / (K(y,x) * K(x,z)) = 1 / T(K(y,x) * K(x,z),u). [hyper(72,a,11623,a,b,4646,a(flip))]. 11625 K(K(x,y) * K(z,x),u) = K(u,K(x,y) * K(z,x)). [hyper(17,a,4705,a(flip),b,11619,a)]. 11626 K(x,K(y,z) * K(u,y)) = K(x,K(z,y) * K(y,u)). [hyper(228,a,11623,a(flip),b,11625,a(flip))]. 11627 T(T(x,K(y,z)),K(y,u)) != w | T(x,K(y,u) * K(z,y)) = w. [para(11608(a,2),11621(a,1))]. 11629 K(x,K(y,z)) * K(x,K(y,u)) = K(K(z,y) * K(y,u),x). [hyper(4731,a,11609,a),flip(a)]. 11631 K(x,K(y,z)) * K(x,K(y,u)) = K(x,K(y,z) * K(u,y)). [hyper(228,a,11620,a(flip),b,11629,a)]. 11632 K(K(x,y) * K(y,(z * u) / ((w \ z) * u)),v5) = K(v5,K(y,x)) * K(v5,R(K(y,w),z,u)). [para(6925(a,1),11629(a,1,2,2)),flip(a)]. 11633 K(x,K(y,z)) * K(x,K(y,u)) = K(K(y,z) * K(u,y),x). [hyper(228,a,11625,a,b,11631,a)]. 11634 K(x,K(y,R(z,u,u \ x)) * K(z,y)) = a(K(w,K(v5,v6)),v7,v7 \ w). [hyper(228,a,9922,a,b,11631,a(flip))]. 11635 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(228,a,9871,a,b,11631,a(flip)),flip(a)]. 11636 K(x,K(y,z)) * K(x,K(z,u)) = K(x,K(z,y) * K(u,z)). [para(7741(a,1),11631(a,1,1))]. 11637 K(x,K(y,z)) * K(x,K(z,u)) = K(x,K(y,z) * K(z,u)). [hyper(228,a,11626,a(flip),b,11636,a)]. 11638 T(x,K(y,z) * K(R(z,u,w),y)) = T(x,K(y,z) * K(z,R(y,u,w))). [hyper(228,a,11606,a(flip),b,11611,a(flip))]. 11639 K(K(x,y) * K(y,z),K(x,y) \ u) = K(K(y,z) * K(x,y),u). [hyper(228,a,4641,a,b,11615,a)]. 11640 K(K(x,y) * K(y,z),K(y,x) * u) = K(K(y,z) * K(x,y),u). [para(5035(a,1),11639(a,1,2))]. 11641 K(K(x,y) * K(y,z),K(y,x) * u) = K(u,K(y,z) * K(x,y)). [hyper(228,a,11625,a(flip),b,11640,a)]. 11642 K(x,K(y,R(z,u,u \ x)) * K(z,y)) = 1. [hyper(228,a,11059,a(flip),b,11634,a)]. 11644 K(x,K(y,z) * K(z,R(y,u,u \ x))) = 1. [para(1757(a,1),11642(a,1,2))]. 11645 K(x * y,K(z,u) * K(u,R(z,x,y))) = 1. [para(13(a,1),11644(a,1,2,2,2,3))]. 11646 T(x,K(y,R(z,u,w)) * K(z,y)) = T(x,K(y,z) * K(z,R(y,u,w))). [hyper(11621,a,11638,a)]. 11647 x * K(x,K(y,z) * K(z,R(y,u,w))) = T(x,K(y,R(z,u,w)) * K(z,y)). [hyper(228,a,4705,a(flip),b,11646,a),flip(a)]. 11648 T(x,K(y,z) * K(R(u,w / u,v5),y)) = T(T(x,K(y,R(u,w,v5))),K(y,z)). [para(9308(a,1),11614(a,2,1))]. 11649 K(x,K(y,R(z,u,w)) * K(z,y)) = K(x,K(y,z) * K(z,R(y,u,w))). [hyper(17,a,4705,a(flip),b,11647,a),flip(a)]. 11650 T(x,K(y,z) * K(R(u,w / u,v5),y)) = T(x,K(y,z) * K(R(u,w,v5),y)). [hyper(228,a,11612,a(flip),b,11648,a)]. 11651 T(x,K(y,z) * R(K(u,y),w,v5)) = T(x,K(y,z) * K(R(u,w,v5),y)). [para(9137(a,1),11650(a,1,2,2))]. 11652 T(x,K(y,R(z,u,w)) * K(v5,y)) = T(x,K(y,v5) * R(K(z,y),u,w)). [hyper(228,a,11616,a,b,11651,a),flip(a)]. 11653 K(K(x,y) * K(z,x),u) * (K(z,x) * K(x,y)) = 1 / T(K(y,x) * K(x,z),u). [hyper(228,a,8944,a(flip),b,11624,a(flip)),flip(a)]. 11654 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(7723(a,1),11635(a,1,2,2,2))]. 11655 K(K(x,y),K(y,z)) * T(K(y,z) * K(x,y),u) = 1 / T(K(z,y) * K(y,x),u). [hyper(6479,a,11653,a)]. 11656 K(x,K(y,z)) * K(x,K(z,u)) = K(z,K(x,y) * K(u,x)). [hyper(5474,a,11654,a)]. 11657 K(x,K(y,z)) * K(y,K(z,u)) = K(z,K(y,x) * K(u,y)). [para(7723(a,1),11656(a,1,1))]. 11658 1 / T(K(x,y) * K(y,z),u) = 1 * T(K(y,x) * K(z,y),u). [para(1755(a,1),11655(a,1,1)),flip(a)]. 11659 1 / T(K(x,y) * K(y,z),u) = T(K(y,x) * K(z,y),u). [hyper(228,a,11,a(flip),b,11658,a)]. 11661 1 / T(K(x,y) * K(y,z),u) = T(K(z,y) * K(y,x),u). [para(1757(a,1),11659(a,2,1))]. 11662 1 / T(K(x,y) * K(z,x),u) = T(K(y,x) * K(x,z),u). [para(1757(a,2),11661(a,1,2,1))]. 11663 T(K(x,y) * K(y,z),u) \ 1 != w | T(K(y,x) * K(z,y),u) = w. [para(11662(a,1),283(a,1,1)),flip(b)]. 11664 K(K(x,y) * K(y,(z * u) / ((w \ z) * u)),v5) = K(v5,K(y,x)) * K(v5,K(y,R(w,z,u))). [para(8989(a,1),11632(a,2,2))]. 11665 K(K(x,y) * K(y,(z * u) / ((w \ z) * u)),v5) = K(K(x,y) * K(y,R(w,z,u)),v5). [hyper(228,a,11629,a(flip),b,11664,a)]. 11666 K(K(x,y) * R(K(y,z),u,w),v5) = K(K(x,y) * K(y,R(z,u,w)),v5). [para(6925(a,1),11665(a,1,1,2))]. 11667 T(x / R(y * K(z,y),u,y),T(R((z * y) / z,u,y),y)) = ((R((z * y) / z,u,y) \ y) \ y) \ x. [para(10777(a,1),9299(a,1,1,2))]. 11668 T((x / R(y,z,y)) * K(y,u),T(R((u * y) / u,z,y),y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. [para(8239(a,1),11667(a,1,1))]. 11669 T((x / R(y,z,y)) * K(y,u),R(T((u * y) / u,y),z,y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. [para(42(a,2),11668(a,1,2))]. 11670 T((x / R(y,z,y)) * K(y,u),R((u * y) / u,z,y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. [para(202(a,1),11669(a,1,2,1))]. 11671 T((x / R(y,z,y)) * K(y,u),R(u / (u / y),z,y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. [hyper(228,a,9287,a(flip),b,11670,a(flip)),flip(a)]. 11672 T((x / R(y,z,y)) * K(y,u),u / (u / y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. [hyper(228,a,10036,a(flip),b,11671,a(flip)),flip(a)]. 11674 ((R((x * y) / x,z,y) \ y) \ y) \ u = ((x * y) / x) \ ((u / R(y,z,y)) * y). [hyper(228,a,9505,a(flip),b,11672,a(flip))]. 11675 ((R((x * y) / x,z,y) \ y) \ y) \ u = ((x * y) / x) \ (y * (R(y,z,y) \ u)). [para(7447(a,1),11674(a,2,2))]. 11676 ((R((x * y) / x,z,y) \ y) \ y) \ u = T(y,x) * (y \ (R(y,z,y) \ u)). [hyper(228,a,4090,a(flip),b,11675,a)]. 11677 ((x \ L(T(x,y),z,x)) \ x) \ u = T(x,y) * (x \ (R(x,z,x) \ u)). [para(9296(a,1),11676(a,1,1,1))]. 11678 T(x,y) * (x \ (R(x,z,x) \ u)) = R(x * K(y,x),z,x) \ u. [para(10777(a,1),11677(a,1,1)),flip(a)]. 11679 R(x * K(y,x),z,x) \ u != w | K(x,y) * (R(x,z,x) \ u) = w. [para(11678(a,1),5031(a,1))]. 11680 L((x \ 1) * L((x \ 1) \ 1,y,z),T(x,u),w) = L(x \ 1,x,w) * L(L(x \ 1,x,w) \ 1,y,z). [para(9408(a,1),9411(a,1,2,1,1)),flip(a)]. 11681 L((x \ 1) * L((x \ 1) \ 1,y,z),T(x,u),w) = L((x \ 1) * L((x \ 1) \ 1,y,z),x,w). [hyper(228,a,2759,a(flip),b,11680,a)]. 11683 L((x \ 1) * L((x \ 1) \ 1,y,z),T(x,u),w) = L(x \ L(x,y,z),x,w). [para(1127(a,1),11681(a,2,1))]. 11684 L(x \ L(x,y,z),T(x,u),w) = L(x \ L(x,y,z),x,w). [para(1127(a,1),11683(a,1,1))]. 11685 a(x,T(y,z),K(u,y \ L(y,w,v5))) * K(u,L(y \ L(y,w,v5),y,x)) = K(u,y \ L(y,w,v5)). [para(11684(a,1),11407(a,1,2,2))]. 11686 K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))) = K(x,K((y * z) * u,u \ L(u,z,y))). [para(28(a,2),9561(a,1,2,2,2)),flip(a)]. 11687 K(R(x \ (x * y),z,u),R(y / w,w,K(x,y)) \ (x \ (x * y))) = K(R(y,z,u),w * K(x,y)). [para(13(a,1),11244(a,2,1,1))]. 11688 K(R(x \ (x * y),z,u),R(y / w,w,K(x,y)) \ (x \ (x * y))) = K(R(y,z,u),w). [hyper(228,a,9403,a(flip),b,11687,a)]. 11690 K(R(x,y,z),R(x / u,u,K(w,x)) \ (w \ (w * x))) = K(R(x,y,z),u). [para(13(a,1),11688(a,1,1,1))]. 11691 K(R(x,y,z),R(x / u,u,K(w,x)) \ x) = K(R(x,y,z),u). [para(13(a,1),11690(a,1,2,2))]. 11692 K(R(x,y,z),R(x / u,u,L(K(w,x),v5,v6)) \ x) = K(R(x,y,z),u). [para(6128(a,1),11691(a,1,2,1,3))]. 11693 (x * L(y,x,y)) / T(T(x,y),L(T(y,x),z,u)) = T(y,x * y) * a(u,z,K(T(x,y),T(y,x * y))). [para(9614(a,1),11444(a,1,2))]. 11694 T(x,y * x) * a(z,u,K(T(y,x),T(x,y * x))) = (y * L(x,y,x)) / T(T(y,L(x,u,z)),x). [para(3992(a,1),11693(a,1,2)),flip(a)]. 11695 T(x,y * x) * a(z,u,K(T(y,x),T(x,y * x))) = (y * L(x,y,x)) / T(T(y,x),L(x,u,z)). [para(38(a,1),11694(a,2,2))]. 11696 T(x,y * x) * a(z,u,K(T(y,x),T(x,y * x))) = K(L(x,u,z),y) * L(x,y,x). [hyper(228,a,7514,a(flip),b,11695,a)]. 11697 T(x,y * x) * a(z,u,K(T(y,x),T(x,y * x))) = K(x,L(y,u,z)) * L(x,y,x). [para(11421(a,1),11696(a,2,1))]. 11698 T(x,y * x) * a(z,u,K(T(y,x),T(x,y * x))) = L(T(x,L(y,u,z)),y,x). [hyper(228,a,7025,a(flip),b,11697,a)]. 11699 T(x,y * x) * a(z,u,K(T(y,x),T(x,y))) = L(T(x,L(y,u,z)),y,x). [para(7151(a,1),11698(a,1,2,3))]. 11700 T(x,y * x) * a(z,u,K(y,x)) = L(T(x,L(y,u,z)),y,x). [para(3952(a,1),11699(a,1,2,3))]. 11701 L(K(x * y,y),z,u) \ T(y,K(x * y,y)) = L(T(y,L(x,z,u)),x,y). [hyper(228,a,11522,a,b,11700,a(flip)),flip(a)]. 11702 K(x * y,L(y,z,u)) \ T(y,K(x * y,y)) = L(T(y,L(x,z,u)),x,y). [para(11389(a,1),11701(a,1,1))]. 11703 L(T(x,L(y,z,u)),y,x) = K(y * x,L(x,z,u)) \ x. [para(2499(a,1),11702(a,1,2)),flip(a)]. 11704 L(T(x,L(y,z,u)),y,x) = K(L(x,z,u),y * x) * x. [hyper(228,a,5035,a(flip),b,11703,a)]. 11705 L(T(x,L(y,z,u)),y,x) = K(x,L(y * x,z,u)) * x. [para(11421(a,1),11704(a,2,1))]. 11706 L(T(x,L(y,z,u)),y,x) = T(x,L(y * x,z,u)). [hyper(228,a,4712,a,b,11705,a)]. 11708 T((1 / x) * R((1 / x) \ 1,y,z),R(x,u,w) \ x) = (1 / x) * R((1 / x) \ 1,y,z). [para(5102(a,1),5317(a,2,2,1,1))]. 11709 T((1 / x) * R((1 / x) \ 1,y,z),R(x,u,w) \ x) = (1 / x) * R(x,y,z). [para(64(a,1),11708(a,2,2,1))]. 11711 T((1 / x) * R((1 / x) \ 1,y,z),R(x,u,w) \ x) = x \ R(x,y,z). [hyper(228,a,3515,a(flip),b,11709,a)]. 11712 T((1 / x) * R(x,y,z),R(x,u,w) \ x) = x \ R(x,y,z). [para(64(a,1),11711(a,1,1,2,1))]. 11713 T(x \ R(x,y,z),R(x,u,w) \ x) = x \ R(x,y,z). [para(3515(a,1),11712(a,1,1))]. 11714 ((x \ R(x,y,z)) \ 1) \ 1 = x \ R(x,y,z). [hyper(5683,a,11713,a)]. 11715 T(R(x \ R(x,y,z),x,y * z),x * (y * z)) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(11714(a,1),11272(a,1,1,1))]. 11716 T((x * (y * z)) \ (R(x,y,z) * (y * z)),x) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [hyper(5907,a,11715,a)]. 11717 T((x * (y * z)) \ ((x * y) * z),x) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(109(a,1),11716(a,1,1,2))]. 11718 (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1 = T(a(x,y,z),x). [para(24(a,2),11717(a,1,1)),flip(a)]. 11719 a(x,y,z) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [hyper(228,a,10350,a(flip),b,11718,a),flip(a)]. 11720 (a(x,y,z) \ 1) \ 1 = a(x,y,z). [para(24(a,2),11719(a,2,1,1)),flip(a)]. 11721 1 / a(x,y,z) = a(x,y,z) \ 1. [para(11720(a,1),61(a,1,2))]. 11722 K(x,x \ 1) * (a(y,z,u) \ 1) = x * (1 / (a(y,z,u) * x)). [para(11720(a,1),3069(a,1,2,2,1)),flip(a)]. 11723 (a(x,y,R(x,z,u)) \ 1) \ 1 = a(R(x,z,u),y,x). [para(10521(a,1),11720(a,1,1))]. 11724 (a(x,y,z) \ 1) \ 1 != u | a(x,y,z) = u. [para(11721(a,1),283(a,1,1)),flip(b)]. 11725 a(R(x,y,z),u,x) = a(x,u,R(x,y,z)). [hyper(11724,a,11723,a),flip(a)]. 11726 a(R(x,y,z),u,x) != w | a(x,u,R(x,y,z)) = w. [para(11723(a,1),11724(a,1))]. 11727 (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(228,a,9157,a,b,11725,a),flip(a)]. 11728 K(x,x \ 1) * y != x * (1 / (a(z,u,w) * x)) | a(z,u,w) \ 1 = y. [para(11722(a,1),19(a,1)),flip(a)]. 11729 K(x,(y \ ((((K(z,u) \ w) \ 1) \ 1) \ K(u,z))) * v5) = K(x,((((w \ 1) \ K(u,z)) * K(z,u)) * y) \ v5). [para(4879(a,1),6540(a,1,2,1,1,1,2)),flip(a)]. 11730 K(x,(y \ ((((K(z,u) \ w) \ 1) \ 1) \ K(u,z))) * v5) = K(x,(((w \ 1) \ 1) * y) \ v5). [para(4895(a,1),11729(a,2,2,1,1))]. 11731 K(x,(y \ ((((K(z,u) \ w) \ 1) \ 1) \ K(u,z))) * v5) = K(x,(y \ (w \ 1)) * v5). [hyper(228,a,6158,a(flip),b,11730,a)]. 11733 K(x,(y \ ((((K(z,u) \ w) \ 1) \ 1) \ K(u,z))) * v5) = K(x,(w * y) \ v5). [hyper(228,a,5545,a(flip),b,11731,a)]. 11734 K(x,(y \ (((z \ K(u,w)) \ 1) \ K(w,u))) * v5) = K(x,(z * y) \ v5). [para(5130(a,1),11733(a,1,2,1,2,1,1))]. 11735 T(x,R(T(y / T(z \ 1,u),K(z,z \ 1)),w,v5)) = T(x,R(((y / T(1 / z,u)) \ 1) \ 1,w,v5)). [hyper(228,a,4550,a(flip),b,9291,a(flip))]. 11737 T(x,R(T(y / T(z \ 1,u),K(z,z \ 1)),w,v5)) = T(x,R(y / T(1 / z,u),w,v5)). [hyper(228,a,3375,a(flip),b,11735,a)]. 11738 T(x,R(y / T(1 / z,u),w,v5)) = T(x,R(y / T(z \ 1,u),w,v5)). [para(2339(a,1),11737(a,1,2,1)),flip(a)]. 11740 a(x,K(x,y) * z,R(x,u,w)) = x \ (v5 \ ((R(x,z,R(x,u,w)) * (x \ v5)) * x)). [hyper(10083,a,10088,a)]. 11741 a(T(x,y),z,R(x,u,w)) = x \ (v5 \ ((R(x,z,R(x,u,w)) * (x \ v5)) * x)). [hyper(10908,a,11740,a)]. 11743 a(T(x,y),z,R(x,u,w)) = x \ (v5 \ ((x * (x \ v5)) * R(x,z,R(x,u,w)))). [para(10008(a,1),11741(a,2,2,2))]. 11744 a(T(x,y),z,R(x,u,w)) = x \ (v5 \ (v5 * R(x,z,R(x,u,w)))). [para(14(a,1),11743(a,2,2,2,1))]. 11745 a(T(x,y),z,R(x,u,w)) = x \ R(x,z,R(x,u,w)). [para(13(a,1),11744(a,2,2))]. 11747 a(T(x,y),z,R(x,u,w)) = a(x,z,R(x,u,w)). [hyper(228,a,10065,a(flip),b,11745,a)]. 11748 a(x,T(x,y) \ z,R(x,u,w)) = a(x,x \ z,R(x,u,w)). [hyper(228,a,10909,a(flip),b,11747,a(flip))]. 11750 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(228,a,7033,a(flip),b,10478,a)]. 11752 K((x \ y) \ T(y,x),z \ L((x \ y) \ T(y,x),u,w)) = K(x,z \ L(x,u,w)). [hyper(228,a,10477,a(flip),b,11750,a)]. 11754 T(x,x * K((y * z) \ (u * w),w)) \ T(K(w,(y * z) \ (u * w)) * x,x) = K(w,T((y * (w \ z)) \ u,x)). [para(10544(a,1),10878(a,1,2,1,1))]. 11755 K(x,T((y * (x \ z)) \ u,w)) = K(x,T((y * z) \ (u * x),w)). [hyper(228,a,10877,a(flip),b,11754,a(flip))]. 11756 K(x,T((y * z) \ (u * x),y * z)) = K(x,u / (y * (x \ z))). [hyper(9133,a,11755,a),flip(a)]. 11757 K(x,(y * x) / (z * u)) = K(x,y / (z * (x \ u))). [hyper(7960,a,11756,a)]. 11758 K(x,y / (z * (x \ u))) = K(x,((z * u) / y) \ x). [hyper(8380,a,11757,a),flip(a)]. 11759 R(K(x,((y * z) / (u / w)) \ x),w \ u,w) = K(x,u / ((y * (x \ z)) * w)). [para(11758(a,1),10631(a,1,1))]. 11760 K(x,y / ((x \ (z * u)) * w)) = K(x,y / ((z * (x \ u)) * w)). [hyper(228,a,10630,a(flip),b,11759,a(flip)),flip(a)]. 11761 K(x,y / ((z * (x \ u)) * w)) = K(x,(((z * u) * w) / y) \ x). [hyper(10982,a,11760,a),flip(a)]. 11762 K(x,(((y * z) * u) / (z * u)) \ x) = R(K(x,y \ x),z,u). [hyper(228,a,6990,a(flip),b,11761,a(flip))]. 11763 R(K(x,y \ x),z,u) = K(x,R(y,z,u) \ x). [para(30(a,2),11762(a,1,2,1)),flip(a)]. 11764 R(K(x,R(1 / y,y,z) \ x),y * z,u) = K(x,((z * u) / ((y * z) * u)) \ x). [para(502(a,1),11763(a,2,2,1))]. 11765 K(x,R(y \ x,z,u) \ x) = R(K(x,y),z,u). [para(5107(a,1),11763(a,1,1)),flip(a)]. 11766 K(x,R(y \ 1,z,u) \ x) = R(K(x,x * y),z,u). [para(5539(a,1),11763(a,1,1)),flip(a)]. 11767 R(K(x,R(y \ x,z,u) \ x),w,v5) = K(x,R(R(x / y,z,u),w,v5) \ x). [para(11120(a,1),11763(a,1,1))]. 11768 K(x,R(1 / y,z,u) \ x) = R(K(x,x * y),z,u). [hyper(6087,a,11766,a)]. 11770 K(x,R(R(x / y,z,u),w,v5) \ x) = R(R(K(x,y),z,u),w,v5). [para(11765(a,1),11767(a,1,1)),flip(a)]. 11771 R(K(x,R(y \ 1,y,z) \ x),y * z,u) = K(x,((z * u) / ((y * z) * u)) \ x). [para(5578(a,1),11764(a,1,1))]. 11772 R(1 / (x / y),x / y,(x / y) \ T(x,x \ y)) = ((x / y) * (y / x)) * ((x / y) \ 1). [para(3970(a,1),3881(a,1,1,2)),flip(a)]. 11773 R(1 / (x / y),x / y,(x / y) \ T(x,x \ y)) = y / x. [hyper(228,a,1514,a(flip),b,11772,a)]. 11774 R(1 / (x / y),x / y,x * (y / x)) = y / x. [para(3877(a,1),11773(a,1,3))]. 11775 ((x / y) \ (1 / (y / x))) * R(1 / (y / x),y / x,y * (x / y)) = 1 / (y / x). [para(11774(a,1),3528(a,1,1,1))]. 11776 ((x / y) \ (1 / (y / x))) * (x / y) = 1 / (y / x). [para(11774(a,1),11775(a,1,2))]. 11777 T(x / y,(x / y) \ (1 / (y / x))) = x / y. [hyper(266,a,11776,a)]. 11778 T(x / y,(x / y) \ ((y / x) \ 1)) = x / y. [hyper(228,a,4359,a(flip),b,11777,a(flip)),flip(a)]. 11779 ((x / y) \ ((y / x) \ 1)) * (x / y) = (y / x) \ 1. [para(11778(a,1),168(a,1,2))]. 11780 T(L(x,y,y \ 1),y) \ ((1 / y) \ T(L(x,y,y \ 1),(1 / y) \ 1)) = L(x,y,y \ 1) \ (y * x). [para(64(a,1),3888(a,1,1,2))]. 11781 L(T(x,y),y,y \ 1) \ ((1 / y) \ T(L(x,y,y \ 1),(1 / y) \ 1)) = L(x,y,y \ 1) \ (y * x). [para(40(a,2),11780(a,1,1))]. 11782 ((1 / x) * (y * x)) \ ((1 / x) \ T(L(y,x,x \ 1),(1 / x) \ 1)) = L(y,x,x \ 1) \ (x * y). [para(2994(a,1),11781(a,1,1))]. 11783 ((1 / x) * (y * x)) \ ((1 / x) \ T(L(y,x,x \ 1),x)) = L(y,x,x \ 1) \ (x * y). [para(64(a,1),11782(a,1,2,2,2))]. 11784 ((1 / x) * (y * x)) \ ((1 / x) \ L(T(y,x),x,x \ 1)) = L(y,x,x \ 1) \ (x * y). [para(40(a,2),11783(a,1,2,2))]. 11785 ((1 / x) * (y * x)) \ ((1 / x) \ ((1 / x) * (y * x))) = L(y,x,x \ 1) \ (x * y). [para(2994(a,1),11784(a,1,2,2))]. 11786 ((1 / x) * (y * x)) \ (y * x) = L(y,x,x \ 1) \ (x * y). [para(13(a,1),11785(a,1,2))]. 11788 1 / R(T(x,y),x \ 1,y * x) = (L(y,x,x \ 1) \ (x * y)) \ 1. [para(11786(a,1),4231(a,1,1)),flip(a)]. 11789 ((L(x,y,y \ 1) \ (y * x)) \ 1) \ 1 = R(T(y,x),y \ 1,x * y). [para(11788(a,1),64(a,1,1))]. 11790 ((x \ 1) * (x * y)) \ (x * y) = R(T(x,y),x \ 1,y * x). [hyper(228,a,3132,a(flip),b,11789,a(flip)),flip(a)]. 11791 ((K(x,y) * K(x,z)) \ 1) * ((K(x,y) * K(x,z)) * u) = L(u,K(x,y) * K(x,z),(K(x,y) * K(x,z)) \ 1). [para(12(a,1),6890(a,1,1)),flip(a)]. 11792 ((K(x,y) * K(x,z)) \ 1) * ((K(x,y) * K(x,z)) * u) = L(u,K(x,y) * K(x,z),K(y,x) * K(z,x)). [para(6005(a,1),11791(a,2,3))]. 11793 (K(x,y) * K(z,y)) * ((K(y,x) * K(y,z)) * u) = L(u,K(y,x) * K(y,z),K(x,y) * K(z,y)). [para(6005(a,1),11792(a,1,1))]. 11794 (K(x,y / z) * K(x,K(u,z \ y))) / T(K(x,z \ y),u) = R(K(x,K(z,y)),K(x,z \ y),K(K(x,z \ y),u)). [para(7739(a,1),8604(a,1,1,2))]. 11795 K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = (u * K(z,x)) \ ((K(x,y) * K(z,x)) * (u * K(y,x))). [para(5063(a,1),8932(a,2,2,2))]. 11796 (x * (y * (K(y,z) * (y \ u)))) * K(z,L(y,K(z,y) \ (y \ u),x)) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). [para(5035(a,1),9144(a,1,1,2,2))]. 11797 (R(T(x,y),z,x) \ T(x,u)) * K(x \ L(T(x,u),z,x),R(x,z,x)) = T(T(x,u) / T(R(x,z,x),y),R(x,z,x)). [para(8753(a,1),9298(a,1,1))]. 11798 T(x * K(y,z),L(L(T(y,x),u,w),K(y,z),x)) = L(T(y,x),u,w) \ (L(y,u,w) * (x * K(y,z))). [para(6053(a,1),9379(a,1,1)),flip(a)]. 11799 T(x * K(y,z),L(L(T(y,x),u,w),K(y,z),x)) = K(x,L(y,u,w)) * (x * K(y,z)). [hyper(228,a,5158,a(flip),b,11798,a)]. 11801 T(x * K(y,z),L(L(T(y,x),u,w),K(y,z),x)) = T(x,L(y,u,w)) * K(y,z). [hyper(228,a,4720,a(flip),b,11799,a)]. 11802 T(x * K(y,z),L(T(y,x),u,w)) = T(x,L(y,u,w)) * K(y,z). [para(6053(a,1),11801(a,1,2))]. 11803 T(x * K(y,z),L(y,u,w)) = T(x,L(y,u,w)) * K(y,z). [hyper(228,a,7063,a(flip),b,11802,a(flip)),flip(a)]. 11805 T(x * K(y,x),L(y,z,u)) = x * a(u,z,K(y,x)). [hyper(228,a,11433,a(flip),b,11803,a)]. 11806 T(x * a(y,z,K(u,x)),u) = T(x,L(u,z,y)). [para(11805(a,1),4742(a,1,1))]. 11807 T(x * a(y,z,K(u,x)),x * u) = L(T(x,L(u,z,y)),u,x). [para(11805(a,1),4840(a,1,1))]. 11808 T(x * a(y,z,K(u,x)),x * u) = T(x,L(u * x,z,y)). [hyper(228,a,11706,a(flip),b,11807,a)]. 11809 K(((x \ y) \ 1) * z,x / y) * K((x \ y) \ 1,T(z,T(x,y))) = a((x \ y) \ 1,z,(x \ y) \ 1). [para(7882(a,1),10457(a,1,1))]. 11810 K((x \ y) \ z,x / y) * K((x \ y) \ 1,T(z,T(x,y))) = a((x \ y) \ 1,z,(x \ y) \ 1). [para(5635(a,1),11809(a,1,1))]. 11811 K((x \ y) \ z,x / y) * K(y \ x,T(z,T(x,y))) = a((x \ y) \ 1,z,(x \ y) \ 1). [para(5601(a,1),11810(a,1,2))]. 11812 K((x \ y) \ z,x / y) * K(x / y,z) = a((x \ y) \ 1,z,(x \ y) \ 1). [para(9533(a,1),11811(a,1,2))]. 11813 R(K(x,K(y,z)) * K(y,K(z,R(x,u,w))),K(K(y,z),v5),v6) * v7 = K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * v7). [para(8987(a,1),10929(a,1,1,1,2))]. 11814 K(x * y,K(z,(T(x * y,u) * w) \ L(w,y,x))) = K(z,K(x * y,a(x,y,w))). [hyper(228,a,7736,a(flip),b,11577,a(flip))]. 11815 K(x,K(y * z,(T(y * z,u) * w) \ L(w,z,y))) = K(x,K(y * z,a(y,z,w))). [hyper(7725,a,11814,a)]. 11817 K(x,K(y * z,u \ ((y * z) \ L(u,z,y)))) = K(x,K(y * z,a(y,z,u))). [para(8639(a,1),11815(a,1,2))]. 11818 K(x,K(y * z,u \ L(u,z,y))) = K(x,K(y * z,a(y,z,u))). [hyper(228,a,9227,a(flip),b,11817,a(flip)),flip(a)]. 11819 (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(6708(a,1),11727(a,1,1,2))]. 11820 (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(587(a,1),11819(a,1,1))]. 11821 a(R(T(x,y),z,u),T(x,y) \ y,T(x,y)) = (L(R(x,z,u),x \ y,x) * y) \ (R(x,z,u) * y). [para(184(a,1),11820(a,1,2)),flip(a)]. 11822 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(228,a,1263,a(flip),b,11821,a)]. 11823 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(42(a,2),11822(a,2,3))]. 11824 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(11726,a,11823,a)]. 11825 a(x,T(x,y) \ y,R(x,z,u)) = a(x,x \ y,R(T(x,y),z,u)). [hyper(10243,a,11824,a)]. 11827 a(x,x \ y,R(T(x,y),z,u)) = a(x,x \ y,R(x,z,u)). [hyper(228,a,11748,a(flip),b,11825,a(flip))]. 11829 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(228,a,11265,a,b,11827,a(flip)),flip(a)]. 11830 a(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = a(x,x \ u,R(x,y,z)). [hyper(9421,a,11829,a)]. 11831 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,y \ (w * y),R(y,z,u)). [para(11830(a,1),11204(a,1,2)),flip(a)]. 11832 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,T(w,y),R(y,z,u)). [para(32(a,2),11831(a,2,2,2))]. 11833 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,w,R(y,z,u)). [para(10136(a,1),11832(a,2,2))]. 11834 x * a(R(y,z,u),w,L(R(y,z,u),v5,v6)) = x * a(y,w,R(y,z,u)). [hyper(228,a,11475,a(flip),b,11833,a(flip)),flip(a)]. 11835 x * a(R(y,z,u),w,R(y,z,u)) = x * a(y,w,R(y,z,u)). [para(333(a,1),11834(a,1,2,3))]. 11836 a(R(x,y,z),u,R(x,y,z)) = a(x,u,R(x,y,z)). [hyper(9773,a,11835,a)]. 11837 R(a(x,y,x),x * z,u) = a(x,y,R(x,z,u)). [hyper(11543,a,11836,a)]. 11838 a(x,R(x,y,z) \ u,R(x,y,z)) = a(x,x \ u,R(x,y,z)). [hyper(228,a,11830,a(flip),b,11836,a(flip))]. 11839 a(x,y,R(x,x \ z,u)) = R(a(x,y,x),z,u). [para(14(a,1),11837(a,1,2)),flip(a)]. 11840 R(x,y,R(x,x \ z,u)) = x * R(a(x,y,x),z,u). [para(11839(a,1),10069(a,1,2)),flip(a)]. 11841 R(T(x,y),z,R(x,x \ u,w)) = T(x,y) * R(a(x,z,x),u,w). [para(11839(a,1),10081(a,1,2)),flip(a)]. 11842 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(228,a,10234,a(flip),b,11840,a(flip))]. 11843 a(x,x \ y,R(x,z,u)) * K(x,y) = K(x,R(x,z,u) \ y). [para(11838(a,1),10138(a,1,1))]. 11844 K(x,y) * a(x,x \ y,R(x,z,u)) = K(x,R(x,z,u) \ y). [hyper(228,a,10128,a(flip),b,11843,a(flip)),flip(a)]. 11845 R(T(x,y),z,R(x,T(x,y) \ u,w)) = T(x,y) * R(a(x,z,x),u,w). [para(10284(a,1),11842(a,1,2,1)),flip(a)]. 11846 R(T(x,y),z,R(x,T(x,y) \ u,w)) = R(T(x,y),z,R(x,x \ u,w)). [hyper(228,a,11841,a,b,11845,a)]. 11848 (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(11846(a,1),11478(a,2,1,1))]. 11849 R(K(x,K(y,z)),K(x,y \ z),K(K(x,y \ z),u)) = K(x,T(z / y,T(u,y))) / T(K(x,y \ z),u). [para(8007(a,1),11794(a,1,1)),flip(a)]. 11850 R(K(x,K(y,z)),K(x,y \ z),K(K(x,y \ z),u)) = K(x,T(z / y,T(u,y))) / K(x,T(y \ z,u)). [para(7152(a,2),11849(a,2,2))]. 11851 R(K(x,K(y,z)),K(x,y \ z),K(K(x,y \ z),u)) = K(x,T(z / y,T(u,y))) * K(y \ z,T(x,u)). [hyper(228,a,7231,a(flip),b,11850,a)]. 11852 R(K(x,K(y,z)),K(x,z \ y),K(K(x,z \ y),u)) = K(x,T(y / z,T(u,z))) * K(z \ y,T(x,u)). [para(7741(a,1),11851(a,1,1))]. 11853 K(x,T(y / z,T(u,z))) * K(z \ y,T(x,u)) = K(x,K(y,z)). [hyper(228,a,5506,a(flip),b,11852,a(flip))]. 11855 K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = (u * K(z,x)) \ (K(x,y) * (K(z,x) * (u * K(y,x)))). [para(10021(a,1),11795(a,2,2))]. 11856 (x * (K(y,z) * u)) * K(z,L(y,K(z,y) \ (y \ u),x)) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). [para(4991(a,1),11796(a,1,1,2))]. 11857 (x * (K(y,z) * u)) * K(z,L(y,K(y,z) * (y \ u),x)) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). [para(5035(a,1),11856(a,1,2,2,2))]. 11858 (x * (K(y,z) * u)) * K(z,L(y,y \ u,x)) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). [para(10003(a,1),11857(a,1,2))]. 11859 (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). [para(8951(a,1),11858(a,1,2))]. 11861 (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * (((K(y,z) * (u / y)) * K(z,y)) * y). [para(5035(a,1),11859(a,2,2,1,1))]. 11862 (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * (T(u / y,K(y,z)) * y). [para(7787(a,1),11861(a,2,2,1))]. 11863 (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * T((u / y) * y,K(y,z)). [para(7669(a,2),11862(a,2,2))]. 11864 (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * T(u,K(y,z)). [para(16(a,1),11863(a,2,2,1))]. 11865 ((x * (K(y,z) * u)) / (x * T(u,K(y,z)))) \ T(x * (K(y,z) * u),L(K(z,y),u,x)) = T(x * (K(y,z) * u),L(K(z,y),u,x)) * L(K(z,y),u,x). [para(11864(a,1),6523(a,1,1,2))]. 11866 (R(T(x,y),z,x) \ T(x,u)) * K(x \ L(T(x,u),z,x),x) = T(T(x,u) / T(R(x,z,x),y),R(x,z,x)). [para(7098(a,1),11797(a,1,2))]. 11868 T(T(x,y) / T(R(x,z,x),u),R(x,z,x)) = (R(T(x,u),z,x) \ T(x,y)) * 1. [para(8437(a,1),11866(a,1,2)),flip(a)]. 11869 T(T(x,y) / T(R(x,z,x),u),R(x,z,x)) = R(T(x,u),z,x) \ T(x,y). [hyper(228,a,12,a(flip),b,11868,a)]. 11871 R(T(x,y),z,x) \ T(x,u) = T(x,y) \ L(T(x,u),z,x). [hyper(228,a,10342,a(flip),b,11869,a(flip))]. 11872 R(K(x,K(y,z) * K(R(z,u,w),y)),K(K(y,x),v5),v6) * v7 = K(z,K(y,x)) * (R(K(K(y,x),z),u,w) * v7). [para(11657(a,1),11813(a,1,1,1))]. 11873 K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = (u * K(z,x)) \ T(K(z,x) * u,K(x,y)). [para(9222(a,1),11855(a,2,2))]. 11874 K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = K(K(z,x),u) * K(K(z,x) * u,K(x,y)). [hyper(228,a,6267,a(flip),b,11873,a)]. 11875 K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = K(u,K(z,x)) * K(K(z,x) * u,K(x,y)). [para(7740(a,1),11874(a,2,1))]. 11876 K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = K(u,K(z,x)) * K(u,K(x,y)). [para(8048(a,1),11875(a,2,2))]. 11877 K(K(x,y) * K(z,x),R(u / K(x,y),K(x,y),K(z,x))) = K(u,K(z,x) * K(x,y)). [hyper(228,a,11637,a(flip),b,11876,a)]. 11879 K(K(x,y) * K(z,x),R(u * K(y,x),K(x,y),K(z,x))) = K(u,K(z,x) * K(x,y)). [para(5063(a,1),11877(a,1,2,1))]. 11880 K(K(x,y) * K(z,x),u * K(y,x)) = K(u,K(z,x) * K(x,y)). [para(8928(a,1),11879(a,1,2))]. 11882 (K(x,y) * K(z,x)) \ K(u,K(z,x) * K(x,y)) = K(x,T(z,u)) * K(y,T(x,u)). [para(11880(a,1),11217(a,1,2))]. 11883 ((x * ((y * x) \ y)) \ 1) * T(x,z) = T(x,z) / (x * ((y * x) \ y)). [para(10207(a,1),4509(a,1,2,1))]. 11884 ((x * ((y * x) \ y)) \ 1) * T(x,z) = (x * ((y * x) \ y)) \ T(x,z). [hyper(228,a,10196,a(flip),b,11883,a)]. 11885 K(x,y) * ((K(x,y) \ z) * L(T(K(x,u),K(x,y) \ z),w,v5)) = z * L(T(K(x,u),z),w,v5). [para(14(a,1),6752(a,2,2,1,2))]. 11886 K(x,y) * ((K(x,y) \ z) * L(T(K(x,u),K(x,y) \ z),w,v5)) = L(K(x,u),w,v5) * z. [hyper(228,a,183,a(flip),b,11885,a)]. 11887 K(x,y) * (L(K(x,z),u,w) * (K(x,y) \ v5)) = L(K(x,z),u,w) * v5. [para(183(a,1),11886(a,1,2))]. 11888 K(x,y) * (L(K(x,z),u,w) * (K(y,x) * v5)) = L(K(x,z),u,w) * v5. [para(5035(a,1),11887(a,1,2,2))]. 11889 L(K(x,y),z,u) * (K(w,x) * v5) = K(w,x) * (L(K(x,y),z,u) * v5). [hyper(5071,a,11888,a),flip(a)]. 11890 K(x,y) * (L(K(x,z),u,w) * (K(y,x) * L(L(K(x,z),u,w) \ 1,v5,v6))) = L(K(x,z) * L(K(x,z) \ 1,v5,v6),u,w). [hyper(228,a,2759,a(flip),b,11888,a)]. 11891 K(x,y) * (L(K(x,z),u,w) * (K(y,x) * v5)) != v6 | L(K(x,z),u,w) * v5 = v6. [para(11889(a,2),5046(a,1,2)),flip(b)]. 11892 L(x,y \ 1,z \ y) \ (1 / ((z \ y) * (y \ 1))) = ((z \ y) * ((y \ 1) * x)) \ K(z \ 1,(z \ 1) \ 1). [para(257(a,1),6778(a,1,2,2)),flip(a)]. 11894 L(x,y \ 1,z \ y) \ (1 / ((z \ y) * (y \ 1))) = ((z \ y) * ((y \ 1) * x)) \ K(z \ 1,z). [para(1845(a,1),11892(a,2,2))]. 11895 ((x \ y) * ((y \ 1) * z)) \ K(x \ 1,x) = L(z,y \ 1,x \ y) \ x. [para(255(a,1),11894(a,1,2)),flip(a)]. 11896 (((x \ y) * ((y \ 1) * z)) \ (x \ 1)) * x = L(z,y \ 1,x \ y) \ x. [hyper(228,a,4362,a(flip),b,11895,a(flip)),flip(a)]. 11897 (((x \ y) * K(z \ (y \ 1),(y \ 1) \ z)) \ (x \ 1)) * x = L((z \ 1) * (z / (y \ 1)),y \ 1,x \ y) \ x. [para(6871(a,1),11896(a,1,1,1,2))]. 11898 (((x \ y) * K(z \ (y \ 1),y * z)) \ (x \ 1)) * x = L((z \ 1) * (z / (y \ 1)),y \ 1,x \ y) \ x. [para(5548(a,1),11897(a,1,1,1,2))]. 11899 K(x * y,y \ (x \ 1)) * (((z \ x) \ (z \ 1)) * z) = L((y \ 1) * (y / (x \ 1)),x \ 1,z \ x) \ z. [hyper(5314,a,11898,a)]. 11900 L((x \ 1) * (x / (y \ 1)),y \ 1,z \ y) \ z = K(y * x,x \ (y \ 1)) * ((y \ 1) * z). [para(249(a,1),11899(a,1,2,1)),flip(a)]. 11902 L((x \ 1) * ((1 / x) \ y),y \ 1,z \ y) \ z = K(y * x,x \ (y \ 1)) * ((y \ 1) * z). [para(317(a,1),11900(a,1,1,1,2))]. 11903 L(K(x \ 1,x) * y,y \ 1,z \ y) \ z = K(y * x,x \ (y \ 1)) * ((y \ 1) * z). [para(3024(a,1),11902(a,1,1,1))]. 11904 T(T(x,y) / (T(y,x) \ x),y * (x / T(y,x))) = L((y \ x) \ x,T(y,x) \ x,(y \ x) \ x). [para(5887(a,1),8467(a,1,1,1))]. 11905 L((x \ y) \ y,T(x,y) \ y,(x \ y) \ y) = T(x,x * (y / T(x,y))). [para(3938(a,1),11904(a,1,1)),flip(a)]. 11906 L((x \ y) \ y,T(x,y) \ y,(x \ y) \ y) = T(x,y). [hyper(228,a,7264,a(flip),b,11905,a)]. 11908 (K(x,y) * z) * R((K(x,y) * z) \ (T(T(x,y),T(u,y)) * z),w,v5) = (R(T(x,u),w,v5) * K(x,y)) * z. [hyper(228,a,483,a(flip),b,10442,a)]. 11909 (K(x,y) * R(K(x,y) \ T(T(x,y),T(z,y)),u,w)) * v5 = (R(T(x,z),u,w) * K(x,y)) * v5. [hyper(228,a,1596,a(flip),b,11908,a(flip)),flip(a)]. 11910 (K(x,y) * R(T(T(x,y),T(z,y)) * K(y,x),u,w)) * v5 = (R(T(x,z),u,w) * K(x,y)) * v5. [para(5043(a,1),11909(a,1,1,2,1))]. 11911 (K(x,y) * R(x * K(T(x,y),T(z,y)),u,w)) * v5 = (R(T(x,z),u,w) * K(x,y)) * v5. [para(5866(a,1),11910(a,1,1,2,1))]. 11912 (R(T(x,y),z,u) * K(x,w)) * v5 = (K(x,w) * R(T(x,y),z,u)) * v5. [para(7861(a,1),11911(a,1,1,2,1)),flip(a)]. 11913 (K(x,y) * R(T(x,z),u,w)) * v5 = R(T(x,z),u,w) * (K(x,y) * v5). [hyper(228,a,4033,a(flip),b,11912,a(flip))]. 11915 (K(x,y) \ (R(T(x,z),u,w) * (K(x,y) * v5))) / (K(x,y) \ (R(T(x,z),u,w) * v5)) = R(K(x,y),R(T(x,z),u,w),v5). [para(11913(a,1),1236(a,2,1,2)),flip(a)]. 11916 (K(x,y) * (R(T(y,z),u,w) * (K(y,x) * v5))) / (K(y,x) \ (R(T(y,z),u,w) * v5)) = R(K(y,x),R(T(y,z),u,w),v5). [para(5035(a,1),11915(a,1,1))]. 11917 (R(T(x,y),z,u) * w) / (K(x,v5) \ (R(T(x,y),z,u) * w)) = R(K(x,v5),R(T(x,y),z,u),w). [para(10815(a,1),11916(a,1,1))]. 11918 R(K(x,y),R(T(x,z),u,w),v5) = K(x,y). [hyper(293,a,11917,a)]. 11921 R(K(x,y),R(x,z,u),w) = K(x,y). [para(112(a,1),11918(a,1,2,1))]. 11922 K(x,(R(x,y,z) * u) / w) = K(x,R(x,y,z) / (w / u)). [hyper(228,a,6938,a(flip),b,11921,a(flip)),flip(a)]. 11923 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(228,a,7033,a(flip),b,10479,a(flip))]. 11925 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(228,a,11528,a(flip),b,11923,a)]. 11927 K(x,y \ L(L(x,z,x),u,w)) = K(x,y \ L(x,u,w)). [hyper(228,a,11752,a(flip),b,11925,a(flip))]. 11929 K(x,(y \ 1) \ L(x,z,u)) * (y \ (T(y,x) * L(x,z,u))) = L(L(x,y,x),z,u). [para(11927(a,1),11225(a,1,1))]. 11930 K(x,y * L(x,z,u)) * (y \ (T(y,x) * L(x,z,u))) = L(L(x,y,x),z,u). [para(5548(a,1),11929(a,1,1))]. 11932 K(x,y * L(x,z,u)) * (K(y,x) * L(x,z,u)) = L(L(x,y,x),z,u). [para(4976(a,1),11930(a,1,2))]. 11933 K(x,y) * (L(K(x,z),u,w) * (K(y,x) * L(L(K(x,z),u,w) \ 1,v5,v6))) = L(K(x,z) * L(K(z,x),v5,v6),u,w). [para(4879(a,1),11890(a,2,1,2,1))]. 11934 K(x,y) * (L(K(x,z),u,w) * (K(y,x) * L(L(K(x,z),u,w) \ 1,v5,v6))) = L(a(v6,v5,K(x,z)),u,w). [para(9676(a,1),11933(a,2,1))]. 11935 K(x,y) * (L(K(x,z),u,w) * (K(y,x) * L(L(K(z,x),u,w),v5,v6))) = L(a(v6,v5,K(x,z)),u,w). [para(6239(a,1),11934(a,1,2,2,2,1))]. 11936 L(K(x,y),z,u) * L(L(K(y,x),z,u),w,v5) = L(a(v5,w,K(x,y)),z,u). [hyper(11891,a,11935,a)]. 11937 a(x,y,L(K(z,u),w,v5)) = L(a(x,y,K(z,u)),w,v5). [hyper(228,a,10826,a(flip),b,11936,a(flip)),flip(a)]. 11938 a(x,y,K(z,L(u,w,v5))) = L(a(x,y,K(z,u)),w,v5). [para(11389(a,1),11937(a,1,3))]. 11939 R(x,K(y,z),K(z,u)) * (R(K(y,z),w,v5) * K(z,u)) = (x * R(x \ (x * K(y,z)),w,v5)) * K(z,u). [para(8856(a,1),8860(a,1,1,2,1,1)),flip(a)]. 11940 R(x,K(y,z),K(z,u)) * (R(K(y,z),w,v5) * K(z,u)) = (x * R(K(y,z),w,v5)) * K(z,u). [para(13(a,1),11939(a,2,1,2,1))]. 11942 (x * R(K(y,z),u,w)) * K(z,v5) = x * (R(K(y,z),u,w) * K(z,v5)). [para(8856(a,1),11940(a,1,1)),flip(a)]. 11943 (x * R(K(y,z),u,w)) * K(z,v5) = x * (K(z,v5) * R(K(y,z),u,w)). [para(1762(a,1),11942(a,2,2))]. 11944 x / (K(y,z) * R(K(z,u),w,v5)) = x * (K(z,y) * R(K(u,z),w,v5)). [hyper(228,a,9637,a,b,11943,a(flip)),flip(a)]. 11945 (x * (K(y,z) * R(K(z,u),w,v5))) * (K(z,y) * R(K(u,z),w,v5)) = x. [hyper(295,a,11944,a)]. 11946 K(x * ((T(y,y \ 1) * z) \ (((y \ 1) \ 1) \ (T(y,y \ 1) * z))),y \ 1) = K(x * R(y \ 1,y,z),y \ 1). [para(3311(a,1),9205(a,2,1,2))]. 11947 K(x * ((T(y,y \ 1) * z) \ z),y \ 1) = K(x * R(y \ 1,y,z),y \ 1). [para(612(a,1),11946(a,1,1,2,2))]. 11948 K(x * T((y * z) \ z,y),y \ 1) = K(x * R(y \ 1,y,z),y \ 1). [para(3323(a,1),11947(a,1,1,2))]. 11949 K(x * R(y \ 1,y,z),y \ 1) = K(x * ((y * z) \ z),y \ 1). [hyper(228,a,5529,a(flip),b,11948,a(flip))]. 11950 K(x * R(y \ 1,y,z),y \ 1) = K(y \ x,y \ 1). [hyper(228,a,11451,a(flip),b,11949,a)]. 11952 T(K(x \ y,x \ 1) / x,y) = R(1 / x,y,z / (x * z)). [para(11950(a,1),9975(a,1,1,1))]. 11953 R(1 / x,y,z / (x * z)) = R(1 / x,y,x \ 1). [hyper(228,a,6515,a(flip),b,11952,a(flip))]. 11955 R(1 / (x / y),z,(x / y) \ 1) = R(1 / (x / y),z,y / x). [para(16(a,1),11953(a,1,3,2)),flip(a)]. 11956 T(a(1 / (x / y),z,1 / (x / y)),u) = (1 / (x / y)) \ R(1 / (x / y),z,y / x). [para(11955(a,1),9791(a,2,2))]. 11957 T(a(1 / (x / y),z,1 / (x / y)),u) = (x / y) * R((x / y) \ 1,z,y / x). [hyper(228,a,1136,a(flip),b,11956,a)]. 11958 T(a(1 / (x / y),z,1 / (x / y)),u) = (x * R(x \ y,z,y / x)) / y. [hyper(228,a,1581,a(flip),b,11957,a)]. 11959 T(a(1 / (x / y),z,1 / (x / y)),u) = (x * R(x \ y,z,x \ y)) / y. [para(9504(a,1),11958(a,2,1,2))]. 11960 T(a(1 / (x / y),z,1 / (x / y)),u) = a(x \ y,z,x \ y). [hyper(228,a,9814,a(flip),b,11959,a)]. 11961 T(a(1 / (x / y),z,(x / y) \ 1),u) = a(x \ y,z,x \ y). [para(10850(a,1),11960(a,1,1))]. 11962 a((x / y) \ 1,z,(x / y) \ 1) = a(x \ y,z,x \ y). [hyper(228,a,10352,a(flip),b,11961,a(flip)),flip(a)]. 11963 K((x \ y) \ z,x / y) * K(x / y,z) = a(y \ x,z,y \ x). [hyper(228,a,11270,a,b,11962,a(flip)),flip(a)]. 11964 a((x \ y) \ 1,z,(x \ y) \ 1) = a(y \ x,z,y \ x). [hyper(228,a,11812,a(flip),b,11963,a(flip)),flip(a)]. 11965 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(4395(a,1),11228(a,1,1))]. 11967 K(x,x \ 1) \ ((1 / x) * (L(x,y,z) \ x)) = L(x,y,z) \ 1. [para(6500(a,1),11965(a,1,2,1,2))]. 11968 (x \ 1) * (L(x,y,z) \ x) = L(x,y,z) \ 1. [hyper(5945,a,11967,a)]. 11969 (x \ 1) \ (L(x,y,z) \ 1) = L(x,y,z) \ x. [hyper(71,a,11967,a(flip),b,5926,a(flip))]. 11970 (x \ L(y,z,u)) \ (x \ 1) = (y \ 1) * (L(y,z,u) \ y). [hyper(228,a,249,a,b,11968,a),flip(a)]. 11971 (x \ (L(x \ 1,y,z) \ 1)) * K(x \ 1,x) = L(x \ 1,y,z) \ (x \ 1). [hyper(3046,a,11969,a)]. 11972 (x \ L(x,y,z)) \ 1 = L(x,y,z) \ x. [hyper(2179,a,11970,a)]. 11973 L(x \ (y \ z),x,y) \ (x \ (y \ z)) = ((x \ (y \ z)) \ ((y * x) \ z)) \ 1. [para(222(a,1),11972(a,1,1,2)),flip(a)]. 11975 (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(11971(a,1),3506(a,2,1)),flip(a)]. 11976 ((x \ (y \ z)) \ ((y * x) \ z)) \ 1 = ((y * x) \ z) \ (x \ (y \ z)). [para(222(a,1),11973(a,1,1)),flip(a)]. 11977 ((x * y) \ z) \ (y \ (x \ z)) = a(1 / z,x,y) \ 1. [para(6765(a,1),11976(a,1,1)),flip(a)]. 11978 (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(4316(a,1),11975(a,1,2))]. 11979 (L(x \ 1,y,z) \ (x \ 1)) \ (L(1 / x,y,z) \ 1) = T(x,x \ (L(x \ 1,y,z) \ 1)). [para(4604(a,1),11978(a,1,2))]. 11980 T(x,x \ (L(x \ 1,y,z) \ 1)) = x. [hyper(228,a,4607,a(flip),b,11979,a(flip))]. 11982 T(x,x \ (((y * x) \ y) \ 1)) = x. [para(161(a,1),11980(a,1,2,2,1))]. 11983 (1 / ((x * y) \ x)) / y = y \ (1 / ((x * y) \ x)). [para(11982(a,1),3704(a,1,2))]. 11984 (x * ((y * x) \ y)) \ 1 = x \ (1 / ((y * x) \ y)). [hyper(10208,a,11983,a)]. 11985 T((1 / ((x * y) \ x)) * K(y,z),y) = (y \ (1 / ((x * y) \ x))) * T(y,z). [para(11983(a,1),8221(a,2,1))]. 11986 (x \ (1 / ((y * x) \ y))) * T(x,z) = (x * ((y * x) \ y)) \ T(x,z). [para(11984(a,1),11884(a,1,1))]. 11987 T((1 / ((x * y) \ x)) * K(y,z),y) = (y * ((x * y) \ x)) \ T(y,z). [hyper(228,a,11986,a(flip),b,11985,a)]. 11988 T(T(1 / ((x * y) \ x),z),y) = (y * ((x * y) \ x)) \ T(y,z). [para(5627(a,1),11987(a,1,1))]. 11989 (x * ((y * x) \ y)) \ T(x,z) = T(1 / ((y * x) \ y),z). [hyper(228,a,6419,a(flip),b,11988,a(flip))]. 11990 1 / ((x * T(y,z)) \ x) = T(1 / ((x * y) \ x),z). [hyper(228,a,10206,a(flip),b,11989,a(flip)),flip(a)]. 11991 T(1 / ((x * y) \ x),z) \ 1 = (x * T(y,z)) \ x. [para(11990(a,1),64(a,1,1))]. 11992 ((x * T(y,z)) \ x) \ 1 = T(((x * y) \ x) \ 1,z). [para(11991(a,1),2322(a,1,1))]. 11993 K(x,T(((y * z) \ y) \ 1,u) \ x) = K(x,1 \ (((y * T(z,u)) \ y) * x)). [para(11992(a,1),6303(a,1,2,1))]. 11994 K(x,1 \ (((y * T(z,u)) \ y) * x)) = K(x,T(((y * z) \ y) * x,u)). [hyper(228,a,7685,a(flip),b,11993,a(flip))]. 11995 K(x,T(((y * z) \ y) * x,u)) = K(x,((y * T(z,u)) \ y) * x). [para(51(a,1),11994(a,1,2)),flip(a)]. 11996 K(x,T(((y * z) \ y) * x,u)) = K(x,x * ((y * T(z,u)) \ y)). [hyper(228,a,5433,a(flip),b,11995,a)]. 11997 K(x,T(((y * z) \ y) * x,u)) = K(x,T(z,u) \ x). [hyper(228,a,10717,a(flip),b,11996,a)]. 11999 K(x,T(((y * z) \ y) * x,u)) = K(x,T(z \ x,u)). [hyper(228,a,7683,a(flip),b,11997,a)]. 12000 K(x,T((y \ z) \ x,u)) = K(x,T((z \ y) * x,u)). [para(14(a,1),11999(a,1,2,1,1,1)),flip(a)]. 12001 K(x,T((y \ z) * x,z)) = K(x,(y / z) \ x). [hyper(9089,a,12000,a),flip(a)]. 12002 K(x,T(x * (y \ z),z)) = K(x,(y / z) \ x). [hyper(11049,a,12001,a)]. 12003 K(x,T((y \ z) * x,y)) = K(x,(y / z) \ x). [hyper(228,a,9465,a(flip),b,12001,a(flip)),flip(a)]. 12004 K(x,((y \ z) / z) \ x) = K(x,T(x * T(y,z),z)). [hyper(228,a,11525,a(flip),b,12002,a(flip))]. 12005 K(x,(y / (y * z)) \ x) = K(x,T(z * x,y)). [para(13(a,1),12003(a,1,2,1,1)),flip(a)]. 12006 K(T(x,y),T(z * T(x,y),u)) = K(x,T((u / (u * z)) \ x,y)). [hyper(8973,a,12005,a),flip(a)]. 12007 R(K(x,T(x * T(y,z),z)),x * u,w) = K(R(x,u,w),((y \ z) / z) \ x). [para(12004(a,1),6734(a,1,1))]. 12008 K(x,T(T(y * T(x,z),u),z)) = K(x,T((u / (u * y)) \ x,z)). [hyper(7637,a,12006,a)]. 12009 K(x,T((y / (y * z)) \ x,u)) = K(x,T(T(x * z,y),u)). [hyper(228,a,10345,a(flip),b,12008,a(flip))]. 12011 K(x,T((y / (z * y)) \ x,u)) = K(x,T(T(x * T(z,y),y),u)). [para(113(a,1),12009(a,1,2,1,1,2))]. 12012 K(x,T(T(x * T(y,z),z),y)) = K(x,R(1 / (1 / (1 / y)),y,z) \ x). [hyper(228,a,9092,a(flip),b,12011,a(flip))]. 12013 K(x,T(x * T(y,z),z)) = K(x,R(1 / (1 / (1 / y)),y,z) \ x). [hyper(10340,a,12012,a)]. 12014 K(x,T(x * T(y,z),z)) = K(x,R((1 / (1 / y)) \ 1,y,z) \ x). [hyper(228,a,5578,a(flip),b,12013,a)]. 12015 K(x,T(x * T(y,z),z)) = K(x,R(1 / y,y,z) \ x). [para(64(a,1),12014(a,2,2,1,1))]. 12016 R(K(x,x * y),y,z) = K(x,T(x * T(y,z),z)). [hyper(228,a,11768,a(flip),b,12015,a),flip(a)]. 12018 R(R(K(x,x * y),y,z),x * u,w) = K(R(x,u,w),T(x * T(y,z),z)). [para(12016(a,2),6734(a,1,1))]. 12019 R(K(R(x,y,z),x * u),u,w) = K(R(x,y,z),T(x * T(u,w),w)). [hyper(228,a,6740,a(flip),b,12018,a(flip)),flip(a)]. 12020 K(R(x,y,z),((u \ w) / w) \ x) = K(R(x,y,z),T(x * T(u,w),w)). [hyper(228,a,6734,a(flip),b,12007,a(flip))]. 12021 K(a(x,y,z),a(x,y,z) \ 1) / (((x * y) * z) \ (x * (y * z))) = (((x * y) * z) \ (x * (y * z))) \ 1. [para(24(a,2),6478(a,1,1,1))]. 12022 K(T(x,R(x,y,z) * (x \ u)),(R(x,y,z) \ w) \ u) = K((x \ u) \ u,w \ (R(x,y,z) * u)). [para(13(a,1),6568(a,1,1,1)),flip(a)]. 12023 K(T(x,R(x,y,z) * (x \ u)),(R(x,y,z) \ w) \ u) = K(x,T(w \ (R(x,y,z) * u),u)). [hyper(228,a,7166,a(flip),b,12022,a)]. 12025 K(T(x,R(x,y,z) * (x \ u)),(R(x,y,z) \ w) \ u) = K(x,(R(x,y,z) * u) / w). [hyper(228,a,9101,a(flip),b,12023,a)]. 12026 K(x,T((R(x,y,z) \ u) \ w,R(x,y,z) * (x \ w))) = K(x,(R(x,y,z) * w) / u). [hyper(7637,a,12025,a)]. 12027 K(x,T((R(x,y,z) \ u) \ w,R(x,y,z) * w)) = K(x,(R(x,y,z) * w) / u). [hyper(228,a,9131,a(flip),b,12026,a(flip)),flip(a)]. 12028 K(x,T((R(x,y,z) \ u) \ w,w)) = K(x,(R(x,y,z) * w) / u). [hyper(9107,a,12027,a)]. 12029 K(x,(R(x,y,z) * u) / w) = K(x,u / (R(x,y,z) \ w)). [hyper(8176,a,12028,a),flip(a)]. 12031 K(x,R(x,y,z) / (u / w)) = K(x,w / (R(x,y,z) \ u)). [hyper(228,a,11922,a(flip),b,12029,a(flip)),flip(a)]. 12032 K(x,y / (R(x,z,u) \ w)) = K(x,(w / y) \ R(x,z,u)). [hyper(7644,a,12031,a),flip(a)]. 12033 K(x,(y * R(x,z,u)) / w) = K(x,(w / y) \ R(x,z,u)). [hyper(228,a,8979,a,b,12032,a(flip)),flip(a)]. 12034 K(R(x,K(y * z,x) * y,z),u \ x) = K(x,(((u * y) * z) / (y * z)) \ R(x,y,z)). [hyper(228,a,11299,a,b,12033,a(flip)),flip(a)]. 12035 K(R(x,K(y * z,x) * y,z),u \ x) = K(x,R(u,y,z) \ R(x,y,z)). [para(30(a,2),12034(a,2,2,1))]. 12036 K(x,R(y,z,u) \ R(x,z,u)) = K(R(x,z,u),y \ x). [hyper(228,a,9193,a(flip),b,12035,a(flip))]. 12038 K(R(K(x,y) * R(K(y,x),z,u),K(y,x),z * u),((z * u) \ K(x,y)) \ 1) = K(a(K(y,x),z,u),((z * u) \ K(x,y)) \ 1). [para(5035(a,1),9725(a,1,1,1))]. 12039 K(K(x,y) * R(K(y,x),z,u),((z * u) \ K(x,y)) \ 1) = K(a(K(y,x),z,u),((z * u) \ K(x,y)) \ 1). [para(10924(a,1),12038(a,1,1))]. 12040 K(K(x,y) * R(K(y,x),z,u),K(y,x) * (z * u)) = K(a(K(y,x),z,u),((z * u) \ K(x,y)) \ 1). [hyper(6178,a,12039,a)]. 12042 K(K(x,y) * K(y,R(x,z,u)),K(y,x) * (z * u)) = K(a(K(y,x),z,u),((z * u) \ K(x,y)) \ 1). [hyper(228,a,11666,a(flip),b,12040,a(flip)),flip(a)]. 12043 K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1) = K(z * u,K(x,R(y,z,u)) * K(y,x)). [hyper(228,a,11641,a(flip),b,12042,a(flip))]. 12044 K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1) = K(z * u,K(x,y) * K(y,R(x,z,u))). [hyper(228,a,11649,a(flip),b,12043,a)]. 12045 K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1) = 1. [hyper(228,a,11645,a(flip),b,12044,a)]. 12046 K(a(K(x,y),z,u),K(x,y) * (z * u)) = 1. [hyper(6178,a,12045,a)]. 12048 1 * (((K(x,y) * z) * u) / (K(x,y) * (z * u))) = a(K(x,y),z,u). [para(12046(a,1),4813(a,1,1))]. 12049 1 * (K(x,y) * R(K(y,x),z,u)) = a(K(y,x),z,u). [para(10925(a,1),12048(a,1,2))]. 12050 K(x,y) * R(K(y,x),z,u) = a(K(y,x),z,u). [hyper(74,a,12049,a)]. 12051 1 * (K(x,K(y,z)) * R(K(x,K(y,z)),u,w)) = a(K(x,K(y,z)),u,w). [para(7740(a,1),12049(a,1,2,1))]. 12052 K(x,y) * a(K(x,y),z,u) = R(K(x,y),z,u). [hyper(5071,a,12050,a)]. 12053 R(K(x,y),z,u) * K(y,x) = a(K(x,y),z,u). [hyper(1768,a,12050,a)]. 12054 K(x \ 1,y) * K(y,R(x,z,u) \ 1) = a(K(y,x \ 1),z,u). [para(6902(a,1),12050(a,1,2))]. 12055 K(x,y) * K(y,R(x,z,u)) = a(K(y,x),z * x,u). [para(9182(a,1),12050(a,1,2))]. 12056 K(x,y) * (R(K(y,x),z,u) * w) = a(K(y,x),z,u) * w. [para(12050(a,1),9956(a,1,1)),flip(a)]. 12057 T(x,K(y,R(z,u,w)) * K(z,y)) = T(x,a(K(z,y),u,w)). [para(12050(a,1),11652(a,2,2))]. 12058 K(K(x,y) * K(y,R(x,z,u)),w) = K(a(K(y,x),z,u),w). [para(12050(a,1),11666(a,1,1)),flip(a)]. 12059 (x * a(K(y,z),u,w)) * (K(y,z) * R(K(z,y),u,w)) = x. [para(12050(a,1),11945(a,1,1,2))]. 12060 (a(K(x,T(y,z)),u,w) * K(x,y)) * (K(y,x) * z) = R(K(x,T(y,z)),u,w) * (z * K(y,x)). [para(12052(a,1),10219(a,1,1)),flip(a)]. 12061 R(K(x,T(y,z)),u,w) * (z * K(y,x)) = z * a(K(x,y),u,w). [para(12053(a,1),9743(a,2,2))]. 12062 K(x,y) * (a(K(x,y),z,u) * w) = R(K(x,y),z,u) * w. [hyper(5071,a,12056,a)]. 12065 K(x,K(y,z) * K(R(z,u,w),y)) = K(a(K(y,z),u,w),x). [hyper(228,a,11620,a(flip),b,12058,a(flip)),flip(a)]. 12066 (x * a(K(y,z),u,w)) * a(K(z,y),u,w) = x. [para(12050(a,1),12059(a,1,2))]. 12067 (T(x,x \ y) * a(K(z,u),w,v5)) \ ((x \ y) \ y) = a(K(u,z),w,v5). [hyper(71,a,114,a(flip),b,12066,a)]. 12068 K(x,x * y) * (a(K(x,y),z,u) * x) = R(K(x,y),z,u) * L(x,y,x). [hyper(228,a,9765,a(flip),b,12062,a(flip)),flip(a)]. 12069 R(K(a(K(x,y),z,u),w),K(K(x,w),v5),v6) * v7 = K(y,K(x,w)) * (R(K(K(x,w),y),z,u) * v7). [para(12065(a,1),11872(a,1,1,1))]. 12070 1 * (K(x,K(y,z)) * K(y,K(z,R(x,u,w)))) = a(K(x,K(y,z)),u,w). [para(8988(a,1),12051(a,1,2,2))]. 12071 1 * K(x,K(y,z) * K(R(z,u,w),y)) = a(K(z,K(y,x)),u,w). [para(11657(a,1),12070(a,1,2))]. 12072 K(x,x * y) * (x * a(K(x,y),z,u)) = R(K(x,y),z,u) * L(x,y,x). [para(9074(a,1),12068(a,1,2))]. 12073 T(x,x * y) * a(K(x,y),z,u) = R(K(x,y),z,u) * L(x,y,x). [hyper(5095,a,12072,a)]. 12074 T(x,x * y) * a(K(x,y),z,u) = L(x * R(K(x,y),z,u),y,x). [hyper(228,a,9735,a,b,12073,a)]. 12075 (a(K(x,T(y,z)),u,w) * K(x,y)) * (K(y,x) * z) = z * a(K(x,y),u,w). [hyper(228,a,12061,a(flip),b,12060,a)]. 12076 K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * v5) = K(a(K(y,x),u,w),z) * v5. [para(344(a,1),12069(a,1,1)),flip(a)]. 12077 K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * y) = y * K(a(K(y,x),u,w),z). [hyper(228,a,9076,a(flip),b,12076,a)]. 12078 K(x,K(y,z)) * (R(K(y,K(z,x)),u,w) * y) = y * K(a(K(y,x),u,w),z). [para(7693(a,1),12077(a,1,2,1,1))]. 12079 K(x,K(y,z)) * (K(y,K(z,R(x,u,w))) * y) = y * K(a(K(y,x),u,w),z). [para(8987(a,1),12078(a,1,2,1))]. 12080 K(x,K(y,z)) * T(y,K(z,R(x,u,w))) = y * K(a(K(y,x),u,w),z). [para(4712(a,2),12079(a,1,2))]. 12081 T(K(x,K(y,z)) * y,K(x,R(z,u,w))) = y * K(a(K(y,x),u,w),z). [hyper(228,a,9311,a,b,12080,a(flip)),flip(a)]. 12082 T(T(x,K(y,z)),K(y,R(z,u,w))) = x * K(a(K(x,y),u,w),z). [para(7730(a,1),12081(a,1,1))]. 12083 T(x,K(y,R(z,u,w)) * K(z,y)) = x * K(a(K(x,y),u,w),z). [hyper(11627,a,12082,a)]. 12084 x * K(a(K(x,y),z,u),w) = T(x,a(K(w,y),z,u)). [hyper(228,a,12057,a(flip),b,12083,a(flip))]. 12085 K(a(K(x,y),z,u),w) = K(x,a(K(w,y),z,u)). [hyper(17,a,4705,a(flip),b,12084,a)]. 12086 K(x,K(y,z) * K(R(z,u,w),y)) = K(y,a(K(x,z),u,w)). [hyper(228,a,12065,a,b,12085,a(flip)),flip(a)]. 12087 1 * K(x,a(K(y,z),u,w)) = a(K(z,K(x,y)),u,w). [para(12086(a,1),12071(a,1,2))]. 12088 a(K(x,K(y,z)),u,w) = K(y,a(K(z,x),u,w)). [hyper(74,a,12087,a),flip(a)]. 12089 a(K(x,K(y,z)),u,w) = K(a(K(y,x),u,w),z). [hyper(228,a,12085,a,b,12088,a)]. 12090 a(K(x,K(y,z)),u,w) = K(x,a(K(z,y),u,w)). [para(7723(a,1),12088(a,1,1))]. 12091 a(K(x,K(y,z)),u,w) = K(a(K(x,y),u,w),z). [para(7723(a,1),12089(a,1,1))]. 12092 (x / ((y * z) / y)) \ T(x / z,1 / (x / ((y * z) / y))) = (x / z) * (1 / (x / ((y * z) / y))). [para(6634(a,1),6636(a,2,1))]. 12093 (1 / ((x * y) / x)) \ T(1 / y,(x * y) / x) = (1 / y) * (1 / (1 / ((x * y) / x))). [para(3101(a,1),12092(a,1,2))]. 12095 (1 / x) * (1 / (1 / ((y * x) / y))) = (1 / ((y * x) / y)) \ (x \ 1). [para(5121(a,1),12093(a,1,2)),flip(a)]. 12096 (1 / x) * (1 / (1 / ((y * x) / y))) = (T(x,y) \ 1) * x. [hyper(228,a,11290,a(flip),b,12095,a)]. 12098 (((x \ 1) \ K(y,x)) \ (T(x,x \ 1) * z)) * K((K(x,y) / x) * (x * z),u) = T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),u). [para(5127(a,1),9146(a,1,1,1))]. 12099 K(R(x,y,z) \ 1,u) * R(R(x * T(x \ 1,u),y,z) \ 1,w,v5) = R((x * T(x \ 1,u)) * R(K(u,x \ 1),w,v5),y,z). [para(4949(a,1),5327(a,1,1))]. 12100 R((x * T(x \ 1,y)) * R(K(y,x \ 1),z,u),w,v5) = K(R(x,w,v5) \ 1,y) * R(K(R(x,w,v5) \ 1,y) \ 1,z,u). [para(4949(a,1),12099(a,1,2,1,1)),flip(a)]. 12101 R((x * T(x \ 1,y)) * R(K(y,x \ 1),z,u),w,v5) = K(R(x,w,v5) \ 1,y) * R(K(y,R(x,w,v5) \ 1),z,u). [para(4879(a,1),12100(a,2,2,1))]. 12102 R((x * T(x \ 1,y)) * R(K(y,x \ 1),z,u),w,v5) = K(R(x,w,v5) \ 1,y) * K(y,R(R(x,w,v5),z,u) \ 1). [para(6902(a,1),12101(a,2,2))]. 12103 K(R(x,y,z) \ 1,u) * K(u,R(R(x,y,z),w,v5) \ 1) = R(K(x \ 1,u) * R(K(u,x \ 1),w,v5),y,z). [para(4650(a,1),12102(a,1,1,1)),flip(a)]. 12104 K(R(x,y,z) \ 1,u) * K(u,R(R(x,y,z),w,v5) \ 1) = R(K(x \ 1,u) * K(u,R(x,w,v5) \ 1),y,z). [para(6902(a,1),12103(a,2,1,2))]. 12105 R(K(x \ 1,y) * K(y,R(x,z,u) \ 1),w,v5) = a(K(y,R(x,w,v5) \ 1),z,u). [hyper(228,a,12054,a(flip),b,12104,a(flip))]. 12106 x * (y * K(L(z \ u,z,w),T(((w * u) / (w * z)) \ 1,w * z))) = (x * K((w * z) \ (w * u),(w * u) \ (w * z))) * y. [para(3298(a,1),9061(a,2,1,2))]. 12107 x * (y * K(L(z \ u,z,w),T(((w * u) / (w * z)) \ 1,w * z))) = (x * K(z \ (w \ (w * u)),(w \ (w * u)) \ z)) * y. [para(10094(a,1),12106(a,2,1,2))]. 12108 x * (y * K(L(z \ u,z,w),T(((w * u) / (w * z)) \ 1,w * z))) = (x * K(z \ u,(w \ (w * u)) \ z)) * y. [para(13(a,1),12107(a,2,1,2,1,2))]. 12109 x * (y * K(L(z \ u,z,w),T(((w * u) / (w * z)) \ 1,w * z))) = (x * K(z \ u,u \ z)) * y. [para(13(a,1),12108(a,2,1,2,2,1))]. 12110 K(L(x \ y,x,z),T(((z * y) / (z * x)) \ 1,z * x)) = K(x \ y,y \ x). [hyper(8696,a,12109,a)]. 12111 (x * K(y \ z,z \ y)) * u = x * (u * K(y \ z,z \ y)). [para(12110(a,1),12109(a,1,2,2)),flip(a)]. 12112 K((1 / x) \ (y \ z),1 / (x * T(y \ z,z \ y))) = x * ((1 / x) * K(y \ z,z \ y)). [hyper(228,a,11298,a,b,12111,a(flip)),flip(a)]. 12113 K((1 / x) \ (y \ z),1 / (x * T(y \ z,z \ y))) = K(y \ (z * x),(z * x) \ y). [hyper(228,a,6879,a(flip),b,12112,a)]. 12114 K((1 / x) \ (y \ z),(y \ z) \ (1 / x)) = K(y \ (z * x),(z * x) \ y). [para(5684(a,1),12113(a,1,2))]. 12115 K((1 / x) \ (y \ z),(y \ z) \ (x \ 1)) = K(y \ (z * x),(z * x) \ y). [hyper(228,a,5388,a(flip),b,12114,a(flip)),flip(a)]. 12116 K(x * (y \ z),(y \ z) \ (x \ 1)) = K(y \ (z * x),(z * x) \ y). [hyper(228,a,5634,a(flip),b,12115,a(flip)),flip(a)]. 12117 K((x / y) * z,z \ (y * (x \ 1))) = K(y \ (z * x),(z * x) \ y). [hyper(228,a,10098,a,b,12116,a(flip)),flip(a)]. 12118 (x \ ((y / z) * u)) * (1 / ((y / z) * u)) = x \ K(z \ (u * y),(u * y) \ z). [para(12117(a,1),4541(a,1,2)),flip(a)]. 12119 K(T(x * y,K(z,u)),T(x * y,K(z,u)) \ (x * (y * K(z,u)))) = T(x * y,K(z,u)) / (x * y). [para(136(a,1),11469(a,2,2))]. 12120 K(T(x * y,K(z,u)),T(x * y,K(z,u)) \ (x * (y * K(z,u)))) = K(x * y,K(z,u)). [hyper(228,a,4696,a,b,12119,a)]. 12122 K(T(x * y,K(z,u)),T(x * y,K(z,u)) \ (x * (y * K(z,u)))) = K(z,K(u,x * y)). [hyper(228,a,7728,a,b,12120,a)]. 12123 K(T(x * y,K(z,u)),L(K(z,T(u,x * y)),y,x)) = K(z,K(u,x * y)). [para(11512(a,1),12122(a,1,2))]. 12124 K(T(x * y,K(z,u)),K(z,L(T(u,x * y),y,x))) = K(z,K(u,x * y)). [hyper(8685,a,12123,a)]. 12125 K(x,K(T(y * z,K(x,u)),L(T(u,y * z),z,y))) = K(x,K(u,y * z)). [hyper(7725,a,12124,a)]. 12126 K(x,K(y * z,L(T(u,y * z),z,y))) = K(x,K(u,y * z)). [hyper(228,a,7207,a(flip),b,12125,a(flip)),flip(a)]. 12128 K(x,K(y * z,L(u,z,y))) = K(x,K(u,y * z)). [para(4873(a,1),12126(a,1,2))]. 12129 (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(7152(a,2),8777(a,2,2))]. 12130 (a(x,y,L(x,z,u)) * K(x,w)) \ (x * K(L(x,y,L(x,z,u)),w)) = T(L(x,y,L(x,z,u)),L(x,y,L(x,z,u)) \ x). [para(8694(a,1),10017(a,1,1,2))]. 12132 T(L(x,y,L(x,z,u)),L(x,y,L(x,z,u)) \ x) = (a(x,y,L(x,z,u)) * K(x,w)) \ T(x,w). [para(8695(a,1),12130(a,1,2)),flip(a)]. 12133 (a(x,y,L(x,z,u)) * K(x,w)) \ T(x,w) = L(x,y,L(x,z,u)). [hyper(228,a,6504,a(flip),b,12132,a(flip))]. 12135 L(x,y,L(x,z,u)) = (a(x,y,x) * K(x,w)) \ T(x,w). [para(11347(a,1),12133(a,1,1,1)),flip(a)]. 12137 (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(7610(a,1),12129(a,2,2))]. 12138 (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(228,a,7231,a(flip),b,12137,a)]. 12140 (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(228,a,7434,a(flip),b,12138,a)]. 12141 (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). [hyper(228,a,7280,a(flip),b,12140,a)]. 12142 (x * K(y,z * x)) / K(y,z) = K(y,z * x) * (K(z,y) * x). [para(7813(a,1),12141(a,1,2))]. 12143 (x * K(y,z * x)) * K(z,y) = K(y,z * x) * (K(z,y) * x). [hyper(5067,a,12142,a)]. 12145 K(x,y * z) * (K(y,x) * z) = z * (K(x,y * z) * K(y,x)). [hyper(8934,a,12143,a),flip(a)]. 12146 L(x,y,z) * (K(x,u * L(x,y,z)) * K(u,x)) = L(L(x,u,x),y,z). [hyper(228,a,11932,a(flip),b,12145,a(flip))]. 12147 L(x,y,z) * (K(u,x) * K(x,u * L(x,y,z))) = L(L(x,u,x),y,z). [para(1757(a,1),12146(a,1,2))]. 12148 L(x,y,z) * (a(x,u,L(x,y,z)) \ 1) = L(L(x,u,x),y,z). [para(10013(a,1),12147(a,1,2))]. 12149 L(x,y,z) \ L(L(x,u,x),y,z) = a(x,u,L(x,y,z)) \ 1. [hyper(77,a,12148,a)]. 12150 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(8506(a,1),6505(a,1,1))]. 12151 R(x,T(K(y,z),x),T(K(z,K(u,w)),K(y,z) * x)) \ ((K(u,K(z,w)) * K(y,z)) * x) = T(K(y,z),x) * T(K(u,K(z,w)),K(y,z) * x). [para(7723(a,1),10054(a,1,1,3,1))]. 12152 x / (T(K(y,z),x) * (((y \ 1) * x) * R(y,y \ 1,x))) = K(z,((y \ 1) * x) \ x) * K(((y \ 1) * x) \ x,(y \ 1) * x). [para(5860(a,1),10061(a,1,2,1))]. 12153 K(x,((y \ 1) * z) \ z) * K(((y \ 1) * z) \ z,(y \ 1) * z) = z / (T(K(y,x),z) * ((y \ z) * y)). [para(3646(a,1),12152(a,1,2,2)),flip(a)]. 12154 K(x,((y \ 1) * z) \ z) * K(((y \ 1) * z) \ z,(y \ 1) * z) = z / ((y \ z) * T(y,x)). [para(8231(a,1),12153(a,2,2))]. 12155 K(x,((y \ 1) * (y * z)) \ (y * z)) * K(((y \ 1) * (y * z)) \ (y * z),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)). [para(13(a,1),12154(a,2,2,1))]. 12156 K(x,R(T(y,z),y \ 1,z * y)) * K(((y \ 1) * (y * z)) \ (y * z),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)). [para(11790(a,1),12155(a,1,1,2))]. 12157 T(K(x,y),z) * K(((y \ 1) * (y * z)) \ (y * z),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)). [para(8659(a,1),12156(a,1,1))]. 12159 T(K(x,y),z) * K(R(T(y,z),y \ 1,z * y),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)). [para(11790(a,1),12157(a,1,2,1))]. 12160 T(K(x,y),z) * K(R(T(y,z),y \ 1,z * y),L(z,y,y \ 1)) = (y * z) / (z * T(y,x)). [para(5380(a,1),12159(a,1,2))]. 12161 T(K(x,y),z) * K(R(y,y \ 1,z * y),L(z,y,y \ 1)) = (y * z) / (z * T(y,x)). [para(7500(a,1),12160(a,1,2))]. 12162 (x * y) / (y * T(x,z)) = T(K(z,x),y) * K(x,y). [para(6739(a,1),12161(a,1,2)),flip(a)]. 12163 (x * y) / (y * T(x,z)) = T(K(z,x) * K(x,y),y). [hyper(228,a,7575,a,b,12162,a)]. 12165 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(8954(a,1),12150(a,1,1,2))]. 12166 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(7723(a,1),12165(a,1,1))]. 12168 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(7507(a,1),12166(a,1,1,2))]. 12169 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(13(a,1),12168(a,1,1,2,1,2))]. 12170 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(7728(a,1),12169(a,1,1))]. 12171 K(x,K(y,z * y)) / ((z * y) / (z * (x \ T(x * y,x)))) = 1 / ((z * (x \ T(x * y,x))) \ (z * y)). [para(7783(a,1),12170(a,1,1))]. 12172 K(x,K(y,z)) / ((y * z) / (y * (x \ T(x * z,x)))) = 1 / ((y * (x \ T(x * z,x))) \ (y * z)). [para(7777(a,1),12171(a,1,1))]. 12173 K(x,K(y,z)) / ((x * z) / (x * (y \ T(y * z,y)))) = 1 / ((x * (y \ T(y * z,y))) \ (x * z)). [para(7723(a,1),12172(a,1,1))]. 12174 K(x,K(y,z)) / L(K(y,T(z * y,x)),z,x) = 1 / ((x * (y \ T(y * z,y))) \ (x * z)). [para(9727(a,1),12173(a,1,2))]. 12175 K(x,K(y,z)) * L(K(T(z * y,x),y),z,x) = 1 / ((x * (y \ T(y * z,y))) \ (x * z)). [hyper(6436,a,12174,a)]. 12176 K(x,K(y,z)) * L(K(z * y,T(y,x)),z,x) = 1 / ((x * (y \ T(y * z,y))) \ (x * z)). [para(7202(a,1),12175(a,1,2,1))]. 12177 L(K(x * y,T(y,z)),x,z) = K(y * x,T(y,z)). [hyper(17,a,10752,a(flip),b,12176,a)]. 12178 K((x / (x * y)) \ z,z) = K(z * y,T(z,x)). [hyper(228,a,11375,a(flip),b,12177,a(flip)),flip(a)]. 12180 K(x * (y \ z),T(x,y)) = K((y / z) \ x,x). [para(14(a,1),12178(a,1,1,1,2)),flip(a)]. 12181 K((x \ y) * z,T(z,x)) = K((x / y) \ z,z). [hyper(228,a,6428,a,b,12180,a(flip)),flip(a)]. 12182 K(x / y,z) * a(z,y \ x,z) = K((y / x) \ z,z). [hyper(228,a,9579,a,b,12181,a(flip)),flip(a)]. 12183 K(x,y / z) * K((z / y) \ x,x) = a(x,z \ y,x). [hyper(5071,a,12182,a)]. 12184 T(x,(y / z) \ x) \ T(x,z / y) = a(x,y \ z,x). [hyper(228,a,5471,a,b,12183,a(flip)),flip(a)]. 12185 T(x,(y / z) \ x) \ T(x,(y / z) \ 1) = a(x,y \ z,x). [para(4109(a,2),12184(a,1,2))]. 12186 T(x,(y / z) \ x) \ T(x,x \ ((y / z) \ x)) = a(x,y \ z,x). [para(3870(a,2),12185(a,1,2))]. 12187 T(x,(y / z) \ x) \ ((x \ ((y / z) \ x)) \ ((y / z) \ x)) = a(x,y \ z,x). [hyper(228,a,393,a(flip),b,12186,a(flip)),flip(a)]. 12188 a(x,(y / z) \ 1,x) = a(x,y \ z,x). [hyper(228,a,8917,a(flip),b,12187,a(flip)),flip(a)]. 12189 a(x,(y * z) \ z,x) = a(x,y \ 1,x). [para(15(a,1),12188(a,1,2,1)),flip(a)]. 12191 R(x,T(K(y,z),x),T(K(z,K(u,w)),x)) \ ((K(u,K(z,w)) * K(y,z)) * x) = T(K(y,z),x) * T(K(u,K(z,w)),K(y,z) * x). [para(7609(a,1),12151(a,1,1,3))]. 12192 R(x,T(K(y,z),x),K(z,K(u,T(w,x)))) \ ((K(u,K(z,w)) * K(y,z)) * x) = T(K(y,z),x) * T(K(u,K(z,w)),K(y,z) * x). [para(7195(a,2),12191(a,1,1,3))]. 12194 R(x,T(K(y,z),x),K(z,K(u,T(w,x)))) \ ((K(z,K(u,w)) * K(y,z)) * x) = T(K(y,z),x) * T(K(u,K(z,w)),K(y,z) * x). [para(7723(a,1),12192(a,1,2,1,1))]. 12195 R(x,T(K(y,z),x),K(z,K(u,T(w,x)))) \ (K(y,z) * (K(z,K(u,w)) * x)) = T(K(y,z),x) * T(K(u,K(z,w)),K(y,z) * x). [para(10023(a,1),12194(a,1,2))]. 12196 R(x,T(K(y,z),x),K(z,K(u,T(w,x)))) \ (K(y,z) * (K(z,K(u,w)) * x)) = T(K(y,z),x) * T(K(z,K(u,w)),K(y,z) * x). [para(7723(a,1),12195(a,2,2,1))]. 12197 R(x,T(K(y,z),x),K(z,K(u,T(w,x)))) \ (K(y,z) * (K(z,K(u,w)) * x)) = T(K(y,z),x) * T(K(z,K(u,w)),x). [para(7609(a,1),12196(a,2,2))]. 12198 R(x,T(K(y,z),x),K(z,K(u,T(w,x)))) \ (K(y,z) * (K(z,K(u,w)) * x)) = T(K(y,z),x) * K(z,K(u,T(w,x))). [para(7195(a,2),12197(a,2,2))]. 12200 x \ (K(y,z) * (K(z,K(u,w)) * x)) = T(K(y,z),x) * K(z,K(u,T(w,x))). [para(8859(a,1),12198(a,1,1))]. 12201 T(K(x,y),z) * K(y,K(u,T(w,z))) = T(K(x,y) * K(y,K(u,w)),z). [hyper(10044,a,12200,a),flip(a)]. 12202 K(x,K(y,T(z,u))) * T(K(w,x),u) = T(K(w,x) * K(x,K(y,z)),u). [hyper(228,a,1760,a(flip),b,12201,a(flip)),flip(a)]. 12203 T(K(x,y) * K(y,K(z,u)),w) != v5 | K(y,K(z,T(u,w))) * K(x,T(y,w)) = v5. [para(12202(a,1),8350(a,1))]. 12204 L(x,y,z) * T(R(u,L(x,y,z),u),R(u,L(x,y,z),u) * x) = K(u,u * x) * T(u * L(x,y,z),u). [para(8744(a,1),6572(a,1,1)),flip(a)]. 12205 L(x,y,z) * T(R(u,L(x,y,z),u),R(u,L(x,y,z),u) * x) = T(K(u,u * x) * (u * L(x,y,z)),u). [hyper(228,a,7542,a,b,12204,a)]. 12207 L(x,y,z) * T(R(u,L(x,y,z),u),R(u,L(x,y,z),u) * x) = T(T(u,u * x) * L(x,y,z),u). [para(4720(a,1),12205(a,2,1))]. 12208 R(x,y,z) * T(R(u,R(x,y,z),u),R(u,R(x,y,z),u) * x) = K(u,u * x) * T(u * R(x,y,z),u). [para(8744(a,1),6573(a,1,1)),flip(a)]. 12209 R(x,y,z) * T(R(u,R(x,y,z),u),R(u,R(x,y,z),u) * x) = T(K(u,u * x) * (u * R(x,y,z)),u). [hyper(228,a,7542,a,b,12208,a)]. 12211 R(x,y,z) * T(R(u,R(x,y,z),u),R(u,R(x,y,z),u) * x) = T(T(u,u * x) * R(x,y,z),u). [para(4720(a,1),12209(a,2,1))]. 12212 R(x,y,z) * T(R(u,R(x,y,z),u),R(u,R(x,y,z),u) * x) = T(u * R(x,y,z),u * x). [hyper(228,a,9846,a(flip),b,12211,a)]. 12213 R(x,y,z) * R(T(u,x * R(u,R(x,y,z),u)),R(x,y,z),u) = T(u * R(x,y,z),u * x). [para(4070(a,2),12212(a,1,2))]. 12214 R(x,y,z) * R(T(u,u * x),R(x,y,z),u) = T(u * R(x,y,z),u * x). [para(8740(a,1),12213(a,1,2,1))]. 12215 R(x,y,z) * R(T(u,x * u),R(x,y,z),u) = T(u * R(x,y,z),u * x). [para(4066(a,2),12214(a,1,2,1))]. 12217 L((K(x,y) * a(x,z,x)) \ u,K(x,y) * a(x,z,x),T(x,R(T(x,y),z,x))) = ((x * R(T(x,y),z,x)) / x) \ (T(x,R(T(x,y),z,x)) * u). [para(8887(a,1),8919(a,1,2))]. 12218 (((x \ 1) \ K(y,x)) \ T(x,z)) \ K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ K(x,y)) \ 1)) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). [para(5127(a,1),11558(a,1,1,1))]. 12219 ((x * R(T(x,y),z,x)) / x) \ (T(x,R(T(x,y),z,x)) * u) = L((K(x,y) * a(x,z,x)) \ u,K(x,y) * a(x,z,x),x). [para(790(a,1),12217(a,1,3)),flip(a)]. 12220 ((x * R(T(x,y),z,x)) / x) \ (T(x,R(T(x,y),z,x)) * u) = (K(x,y) * a(x,z,x)) \ u. [hyper(228,a,10378,a(flip),b,12219,a)]. 12222 (K(x,y) * a(x,z,x)) \ u = R(T(x,y),z,x) \ (x * u). [hyper(228,a,4213,a(flip),b,12220,a(flip))]. 12223 (K(x,y) * a(x,z,x)) \ u = x * (R(T(x,y),z,x) \ u). [hyper(228,a,1693,a(flip),b,12222,a)]. 12224 (a(x,y,x) * K(x,z)) \ u = x * (R(T(x,z),y,x) \ u). [hyper(228,a,9796,a,b,12223,a(flip)),flip(a)]. 12225 L(x,y,L(x,z,u)) = x * (R(T(x,w),y,x) \ T(x,w)). [hyper(228,a,12135,a,b,12224,a(flip)),flip(a)]. 12226 L(x,y,L(x,z,u)) = x * (T(x,w) \ L(T(x,w),y,x)). [para(11871(a,1),12225(a,2,2))]. 12227 L(x,y,L(x,z,u)) = x * (x \ L(x,y,x)). [para(7415(a,1),12226(a,2,2))]. 12228 L(x,y,L(x,z,u)) = L(x,y,x). [hyper(228,a,14,a(flip),b,12227,a)]. 12230 L(L(x,y,z),u,L(x,w,v5)) = L(L(x,u,x),y,z). [para(12228(a,1),45(a,1,1)),flip(a)]. 12232 (L(x,y,z) \ L(L(x,u,x),y,z)) \ w = w * a(L(x,y,z),u,L(x,y,z)). [para(12230(a,1),10053(a,1,1,2))]. 12233 x * a(L(y,z,u),w,L(y,z,u)) = (a(y,w,L(y,z,u)) \ 1) \ x. [para(12149(a,1),12232(a,1,1)),flip(a)]. 12234 a(L(x,y,z),u,L(x,y,z)) = a(x,u,L(x,y,z)). [hyper(69,a,11720,a(flip),b,12233,a)]. 12235 a(L(x,y,z),u,L(x,y,z)) = a(x,u,x). [hyper(228,a,11347,a(flip),b,12234,a)]. 12237 L(a(x,y,x),z,u) = a(x,y,x). [hyper(228,a,11461,a(flip),b,12235,a(flip)),flip(a)]. 12241 L(a(x,y,x),z,u) = a(x,y,x) * 1. [hyper(228,a,12,a,b,12237,a)]. 12244 (x * y) * a(z,u,z) = x * (y * a(z,u,z)). [para(12237(a,1),100(a,1,2))]. 12248 L(a(x,y,x),z,u) != w | a(x,y,x) = w. [para(12241(a,2),81(a,1)),flip(b)]. 12250 x \ (y * a(z,u,z)) = (x \ y) * a(z,u,z). [hyper(564,a,12244,a)]. 12251 R(x,y,a(z,u,z)) = x. [hyper(476,a,12244,a)]. 12252 L(T(x,y),y,a(z,u,z)) = T(x,y * a(z,u,z)). [hyper(10131,a,12251,a)]. 12254 ((a(x,y,x) * z) \ (z * u)) * a(x,y,x) != w | L(u,z,a(x,y,x)) = w. [para(12250(a,1),9784(a,1))]. 12255 x \ (y * (z * a(u,w,u))) = (x \ (y * z)) * a(u,w,u). [para(12244(a,1),12250(a,1,2))]. 12258 ((a(x,y,x) * z) \ (z * u)) * a(x,y,x) = L(T(u,a(x,y,x)),a(x,y,x),z). [hyper(9787,a,12255,a),flip(a)]. 12259 (x * y) \ (x * ((y * z) * a(u,w,u))) = L(z,y,x) * a(u,w,u). [para(28(a,2),12255(a,2,1))]. 12260 (x * y) \ (x * (y * (z * a(u,w,u)))) = L(z,y,x) * a(u,w,u). [para(12244(a,1),12259(a,1,2,2))]. 12261 L(x * a(y,z,y),u,w) = L(x,u,w) * a(y,z,y). [hyper(456,a,12260,a)]. 12262 a(x,y,x) \ L(a(x,y,x) * z,u,w) = L(z,u,w). [hyper(4583,a,12261,a)]. 12263 L(a(x,y,x) * z,u,w) = a(x,y,x) * L(z,u,w). [para(12262(a,1),14(a,1,2)),flip(a)]. 12264 x * L(a(x,y,x) * z,u,w) = R(x,y,x) * L(z,u,w). [para(12263(a,2),9832(a,1,2))]. 12265 R(x,y,x) * L(R(x,y,x) \ z,u,w) = x * L(x \ z,u,w). [para(9834(a,1),12264(a,1,2,1)),flip(a)]. 12266 R(x * L(x \ 1,y,z),u,x) = x * L(x \ 1,y,z). [hyper(3357,a,12265,a)]. 12267 R(T(x * L(x \ 1,y,z),u),w,x) = T(x * L(x \ 1,y,z),u). [para(12266(a,1),42(a,2,1))]. 12268 T(x * L(x \ 1,y,z),x * u) = T(x * L(x \ 1,y,z),u). [hyper(11275,a,12267,a),flip(a)]. 12269 T((1 / x) * L((1 / x) \ 1,y,z),u) = T((1 / x) * L(x,y,z),(1 / x) * u). [para(64(a,1),12268(a,1,1,2,1)),flip(a)]. 12270 L(T(x,a(y,z,y)),a(y,z,y),u) = L(x,u,a(y,z,y)). [hyper(12254,a,12258,a),flip(a)]. 12271 L(x,a(y,z,y),u) = L(x,u,a(y,z,y)). [para(9766(a,1),12270(a,1,1))]. 12272 T(x \ L(x,y,z),(1 / x) * u) = T((1 / x) * L((1 / x) \ 1,y,z),u). [para(4602(a,1),12269(a,2,1)),flip(a)]. 12273 T(x \ L(x,y,z),(x \ 1) * u) = T((1 / x) * L((1 / x) \ 1,y,z),u). [hyper(228,a,4344,a(flip),b,12272,a(flip)),flip(a)]. 12274 ((x \ K(x,y)) * T(x,z)) \ K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ K(x,y)) \ 1)) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). [para(11556(a,1),12218(a,1,1))]. 12275 ((x \ K(x,y)) * T(x,z)) \ K((x \ K(x,y)) * T(x,z),T(x,z) \ ((x \ K(x,y)) \ 1)) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). [para(11556(a,1),12274(a,1,2,1))]. 12276 ((x \ K(x,y)) * T(x,z)) \ K((x \ K(x,y)) * T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). [para(5127(a,1),12275(a,1,2,2,2))]. 12277 (x / ((y \ x) * y)) \ ((((y \ x) * y) \ 1) \ (((y \ x) * y) \ x)) = R((y \ x) * y,((y \ x) * y) \ 1,((y * (y \ x)) \ 1) \ 1). [para(5879(a,1),6669(a,1,3)),flip(a)]. 12278 (x / ((y \ x) * y)) \ ((((y \ x) * y) \ 1) \ (((y \ x) * y) \ x)) = R((y \ x) * y,((y \ x) * y) \ 1,(x \ 1) \ 1). [para(14(a,1),12277(a,2,3,1,1))]. 12279 (x / ((y \ x) * y)) \ ((((y \ x) * y) \ 1) \ (((y \ x) * y) \ x)) = R((y \ x) * y,((y \ x) * y) \ 1,x). [hyper(228,a,4312,a(flip),b,12278,a)]. 12281 K(x,x \ y) \ ((((x \ y) * x) \ 1) \ (((x \ y) * x) \ y)) = R((x \ y) * x,((x \ y) * x) \ 1,y). [para(4795(a,1),12279(a,1,1))]. 12282 K(x,x \ y) \ ((((x \ y) * x) \ 1) \ K(x,x \ y)) = R((x \ y) * x,((x \ y) * x) \ 1,y). [para(95(a,1),12281(a,1,2,2))]. 12283 R((x \ y) * x,((x \ y) * x) \ 1,y) = K(x,x \ y) \ (((x * (x \ y)) \ 1) \ 1). [para(5879(a,1),12282(a,1,2)),flip(a)]. 12284 R((x \ y) * x,((x \ y) * x) \ 1,y) = K(x,x \ y) \ ((y \ 1) \ 1). [para(14(a,1),12283(a,2,2,1,1))]. 12285 R((x \ y) * x,((x \ y) * x) \ 1,y) = K(x \ y,x) * ((y \ 1) \ 1). [hyper(228,a,5035,a(flip),b,12284,a)]. 12287 R((x \ y) * x,((x \ y) * x) \ 1,y) = T((x \ y) * x,y \ 1). [hyper(228,a,6516,a(flip),b,12285,a)]. 12288 T((x \ y) * x,y \ 1) \ y = (((x \ y) * x) \ 1) * y. [para(12287(a,1),391(a,1,1))]. 12289 (((x \ y) * x) \ 1) * y = (y \ 1) * (x * (y / x)). [hyper(228,a,9063,a(flip),b,12288,a(flip))]. 12290 K(x,x \ y) * K(y \ 1,y) = (((x \ y) * x) \ 1) * y. [hyper(6413,a,12289,a(flip))]. 12291 (((x \ y) * x) \ 1) * ((y \ 1) \ 1) = K(x,x \ y). [hyper(5888,a,12290,a)]. 12292 ((((x * y) \ x) \ T(((x * y) \ x) * z,y)) \ 1) * ((z \ 1) \ 1) = K(((x * y) \ x) \ 1,(((x * y) \ x) \ 1) \ z). [para(5689(a,2),12291(a,1,1,1))]. 12293 ((((x * y) \ x) \ T(((x * y) \ x) * z,y)) \ 1) * ((z \ 1) \ 1) = K(((x * y) \ x) \ 1,z * ((x * y) \ x)). [hyper(228,a,5537,a(flip),b,12292,a)]. 12294 ((((x * y) \ x) \ T(((x * y) \ x) * z,y)) \ 1) * ((z \ 1) \ 1) = K(y,z * ((x * y) \ x)). [hyper(228,a,5613,a(flip),b,12293,a)]. 12296 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = (y \ T(y * (x \ 1),y)) * R((y \ T(y * (x \ 1),y)) \ 1,z,u). [para(10424(a,1),10425(a,2,2,1,1))]. 12297 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = y \ (T(y * (x \ 1),y) * R(T(y * (x \ 1),y) \ y,z,u)). [hyper(228,a,1600,a(flip),b,12296,a)]. 12298 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = y \ T((y * (x \ 1)) * R((y * (x \ 1)) \ y,z,u),y). [para(1780(a,1),12297(a,2,2))]. 12299 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = y \ T(y * ((x \ 1) * R((x \ 1) \ 1,z,u)),y). [para(840(a,1),12298(a,2,2,1))]. 12300 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = y \ T(y * (x \ R(x,z,u)),y). [para(1145(a,1),12299(a,2,2,1,2))]. 12301 T(x \ (a(y,x \ 1,y) * R(a(y,x \ 1,y) \ x,z,u)),y) = y \ T(y * (x \ R(x,z,u)),y). [para(1600(a,1),12300(a,1,1))]. 12302 K(a(x,y,z),T((((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u),x * (y * z))) = K(a(x,y,z),K((x * y) * z,u)). [hyper(228,a,9263,a(flip),b,9536,a)]. 12303 K(a(x,y,z),T((((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u),x * (y * z))) = K(u,K(a(x,y,z),(x * y) * z)). [hyper(228,a,7728,a(flip),b,12302,a)]. 12304 K(R(T(x,y * (((y \ x) \ 1) \ 1)),x \ y,y \ (y / (((x \ y) \ 1) \ 1))),z) = K(((y \ (y / (x \ y))) * (x \ y)) \ (y / (((x \ y) \ 1) \ 1)),z). [para(2892(a,1),9469(a,1,1,1,2))]. 12305 L(x,K(y,z),R(K(u,y) * R(K(y,u),w,v5),K(y,z),x)) = x. [hyper(228,a,13,a(flip),b,10926,a)]. 12307 L(x,K(y,z),K(u,y) * R(K(y,u),w,v5)) = x. [para(10924(a,1),12305(a,1,3))]. 12309 L(x,K(y,z),a(K(y,u),w,v5)) = x. [para(12050(a,1),12307(a,1,3))]. 12310 (a(K(x,y),z,u) * K(x,w)) * v5 = a(K(x,y),z,u) * (K(x,w) * v5). [para(12309(a,1),100(a,1,2))]. 12311 a(K(x,T(y,z)),u,w) * (K(x,y) * (K(y,x) * z)) = z * a(K(x,y),u,w). [hyper(228,a,12075,a(flip),b,12310,a(flip))]. 12312 a(K(x,T(y,z)),u,w) * z = z * a(K(x,y),u,w). [para(5042(a,1),12311(a,1,2))]. 12313 x * a(K(y,T(z,x)),u,w) = a(K(y,z),u,w) * x. [para(7828(a,1),12312(a,1,1,1)),flip(a)]. 12314 a(K(x,T(y,z)),u,w) = T(a(K(x,y),u,w),z). [hyper(172,a,12313,a),flip(a)]. 12315 ((x * (K(y,z) * u)) / (x * T(u,K(y,z)))) \ T(x * (K(y,z) * u),K(z,L(y,u,x))) = T(x * (K(y,z) * u),L(K(z,y),u,x)) * L(K(z,y),u,x). [para(11389(a,1),11865(a,1,2,2))]. 12316 K(R(T(x,x),x \ y,y \ (y / (((x \ y) \ 1) \ 1))),z) = K(((y \ (y / (x \ y))) * (x \ y)) \ (y / (((x \ y) \ 1) \ 1)),z). [para(4339(a,1),12304(a,1,1,1))]. 12317 K(((x \ (x / (y \ x))) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,x \ (x / (((y \ x) \ 1) \ 1))),z). [para(112(a,1),12316(a,1,1,1)),flip(a)]. 12319 K(((x \ (x / (y \ x))) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,x \ (x * (((x \ y) \ 1) \ 1))),z). [para(2892(a,1),12317(a,2,1,3,2))]. 12320 K(((x \ (x / (y \ x))) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,((x \ y) \ 1) \ 1),z). [para(13(a,1),12319(a,2,1,3))]. 12322 K(((x \ (x / (y \ x))) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,x \ y),z). [para(4312(a,1),12320(a,2,1))]. 12323 K(((x \ y) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,x \ y),z). [para(61(a,1),12322(a,1,1,1,1,2))]. 12324 K(((x \ y) * (y \ x)) \ (x * (((x \ y) \ 1) \ 1)),z) = K(R(y,y \ x,x \ y),z). [para(2892(a,1),12323(a,1,1,2))]. 12325 K(((x \ y) * (y \ x)) \ y,z) = K(R(y,y \ x,x \ y),z). [hyper(228,a,5892,a(flip),b,12324,a(flip)),flip(a)]. 12327 K(R(x * y,(x * y) \ y,y \ (x * y)),z) = K((T(x,y) * ((x * y) \ y)) \ (x * y),z). [para(32(a,2),12325(a,1,1,1,1)),flip(a)]. 12328 K(R(x * y,(x * y) \ y,y \ (x * y)),z) = K((x * ((y * x) \ y)) \ (x * y),z). [para(10201(a,1),12327(a,2,1,1))]. 12329 K(R(x * y,(x * y) \ y,y \ (x * y)),z) = L(K(T(y * x,y),z),y,x). [hyper(228,a,7201,a(flip),b,12328,a)]. 12330 K(R(x * y,(x * y) \ y,T(x,y)),z) = L(K(T(y * x,y),z),y,x). [para(32(a,2),12329(a,1,1,3))]. 12331 K(R(x * y,(x * y) \ y,T(x,y)),z) = L(K(y * x,T(z,y)),y,x). [para(7202(a,1),12330(a,2,1))]. 12332 R(K(x * y,z),y,T(x,y)) = L(K(y * x,T(z,y)),y,x). [hyper(228,a,6732,a(flip),b,12331,a(flip)),flip(a)]. 12333 (K(x * y,z) * ((x * y) / x)) * x = (x * y) * L(K(y * x,T(z,y)),y,x). [para(12332(a,1),6639(a,2,2))]. 12334 (K(x * y,z) * ((x * y) / x)) * x = x * (y * K(y * x,T(z,y))). [hyper(228,a,100,a(flip),b,12333,a)]. 12335 (K(x * y,z) * ((x * y) / x)) * x = x * (K(y * x,z) * y). [hyper(228,a,7280,a(flip),b,12334,a)]. 12336 (K(x * y,z) * y) * T(x,y) = x * (K(y * x,z) * y). [hyper(6626,a,12335,a)]. 12337 K(x * y,z) * x = x * K(y * x,z). [hyper(11105,a,12336,a),flip(a)]. 12338 K(x * y,T(z,y)) = K(y * x,z). [hyper(7884,a,12337,a),flip(a)]. 12339 K(x * y,T(z,x)) = K(y * x,z). [hyper(7282,a,12337,a)]. 12340 K((x \ 1) * y,T(z,x)) = K(y * (x \ 1),z). [hyper(18,a,8138,a(flip),b,12337,a)]. 12343 K(x * (y / x),z) = K(y,T(z,x)). [para(16(a,1),12338(a,1,1)),flip(a)]. 12344 K(x * T(x \ y,z),T(u,x)) = K(x * T(y / x,z),u). [para(409(a,1),12338(a,1,1))]. 12345 (x * (y * z)) \ K(y * x,T(y \ (x \ 1),x)) = L(z,y,x) \ (1 / (x * y)). [para(12338(a,2),6543(a,1,2))]. 12347 K((x \ y) * x,z) = K(y,T(z,x)). [para(14(a,1),12339(a,1,1)),flip(a)]. 12348 K(((x * (y \ z)) / x) * y,u) = K(z * K(x,(z \ y) \ 1),T(u,y)). [para(5365(a,2),12339(a,1,1)),flip(a)]. 12349 K(x * y,z) * T(z,T(z * (y * x),y)) = L(z,y * x,z). [para(12339(a,1),9584(a,1,1))]. 12350 K(T(x,y) * y,z) = K(x * y,T(z,x)). [para(3747(a,2),12343(a,1,1))]. 12351 K(x * K((x \ y) \ 1,z),T(u,y)) = K(y * T(x / y,z),u). [para(5845(a,1),12343(a,1,1,2)),flip(a)]. 12352 K((x \ y) * x,T(y,z)) = 1. [hyper(228,a,416,a(flip),b,12347,a)]. 12353 K((x \ y) * x,(x \ y) \ z) = K(y,T(y \ (x * z),x)). [hyper(228,a,11600,a,b,12347,a(flip)),flip(a)]. 12354 T(x,(y \ z) * y) = x / K(z,T(x,y)). [para(12347(a,1),4658(a,2,2))]. 12355 K(T(x \ y,x) * x,y) = 1. [hyper(228,a,12352,a(flip),b,12350,a)]. 12356 x * K(T(y \ z,y) * y,z) = x. [para(12355(a,2),12(a,1,2))]. 12357 T(x,(y \ z) * y) = T(x,T(z,y)). [hyper(228,a,7224,a(flip),b,12354,a)]. 12358 T(x,T(y * z,y)) = T(x,z * y). [para(13(a,1),12357(a,1,2,1)),flip(a)]. 12359 T(x,(x \ y) * x) != z | T(x,y) = z. [para(12357(a,2),3999(a,1))]. 12360 T(x,T(y * z,y)) = x * K(x,z * y). [hyper(228,a,4705,a(flip),b,12358,a)]. 12361 T(T(x,K(y,z)),z * y) = T(x,y * z). [hyper(228,a,7995,a,b,12358,a(flip)),flip(a)]. 12363 T(x,T(y * x,z)) != u | T(x,T(x * y,z)) = u. [para(4471(a,1),12359(a,1,2))]. 12364 K(x,T((y \ 1) * z,y)) = K(x,z * (y \ 1)). [hyper(8132,a,12360,a)]. 12365 K(x,T(y * z,y)) = K(x,z * y). [hyper(4771,a,12360,a)]. 12366 K(x \ 1,T((y \ x) * z,y)) = K(x \ 1,z * (y \ x)). [hyper(9244,a,12365,a)]. 12367 K(x,T(y * (z \ x),z)) = K(x,(z \ x) * y). [hyper(8184,a,12365,a)]. 12368 K(x,T(y * z,y)) = K(x,(z \ 1) \ y). [hyper(228,a,5548,a,b,12365,a)]. 12369 K(x,(y \ z) * y) = K(x,T(z,y)). [para(14(a,1),12365(a,1,2,1)),flip(a)]. 12370 T(x * y,T(z,x)) \ 1 = (x * y) \ K(z,y * x). [para(12365(a,1),7212(a,2,2))]. 12371 K(T(x,y),z * y) != u | K(x,y * z) = u. [para(12365(a,1),7962(a,1))]. 12372 T(T(x,y * z),K(y,z)) = T(x,z * y). [hyper(7793,a,12361,a)]. 12373 T(x / y,(y \ x) * z) = T(x / y,z * (y \ x)). [para(3171(a,1),12361(a,1,1)),flip(a)]. 12374 T(T(x,y * z),K(y,z)) != u | T(x,z * y) = u. [para(12361(a,1),7802(a,1,1))]. 12375 K(x,T(y * z,y)) != u | K(x,z * y) = u. [para(12368(a,2),6168(a,1))]. 12376 T(T(x,K(y,z)),z * y) != u | T(x,y * z) = u. [para(12372(a,1),7802(a,1))]. 12378 K(x,T(y * z,z)) != u | K(x,z * y) = u. [para(7202(a,1),12371(a,1))]. 12379 K(((x * ((y \ 1) \ (y \ z))) / x) * (y \ 1),u) = K(y \ (1 * ((x * (1 \ z)) / x)),T(u,y)). [para(1969(a,1),12340(a,1,1)),flip(a)]. 12380 K(x,T((y \ 1) * (z * y),y)) = R(K(x,z),y,y \ 1). [hyper(228,a,11178,a(flip),b,12364,a)]. 12381 K(x,(y \ x) * R(y,z,u)) = K(x,x * (y \ R(y,z,u))). [hyper(228,a,9931,a(flip),b,12367,a(flip))]. 12382 T(T(x,K(y,K(z,u))),K(u,z) * y) != w | T(x,y * K(u,z)) = w. [para(7741(a,1),12376(a,1,1,2))]. 12383 T(T(x,K(y,K(z,u))),K(z,z * u) * y) != w | T(x,y * K(z,z * u)) = w. [para(7781(a,1),12376(a,1,1,2))]. 12384 T(T(x,K(y,z)),T(T(z,u),u) * y) != w | T(x,y * T(T(z,u),u)) = w. [para(7828(a,1),12376(a,1,1,2))]. 12385 T(K(x,y) * K(z,x),T(u,K(x,y))) \ 1 = K(x,T(z,u)) * K(y,T(x,u)). [hyper(228,a,11882,a(flip),b,12370,a)]. 12386 T(1 / x,(x \ 1) * y) = T(1 / x,x \ y). [hyper(228,a,8277,a(flip),b,12373,a)]. 12387 T(1 / x,x \ y) * L(T(1 / x,(x \ 1) * y) \ 1,z,u) = T((1 / x) * L((1 / x) \ 1,z,u),(x \ 1) * y). [para(12386(a,1),2041(a,1,1))]. 12388 R(K(x,y),z,z \ 1) = K(x,L(y,z,z \ 1)). [hyper(228,a,9134,a(flip),b,12380,a(flip))]. 12389 K(x,R(y,z,z \ 1)) = K(x,L(y,z,z \ 1)). [hyper(228,a,11177,a(flip),b,12388,a(flip)),flip(a)]. 12390 K(x,R(y,z,z \ 1)) = K(x,y). [hyper(228,a,11395,a(flip),b,12389,a)]. 12392 K((x \ 1) * T((x \ 1) \ y,z),T(u,x)) = K((x \ 1) * T(y / (x \ 1),z),u). [hyper(8183,a,12344,a)]. 12393 K(x,T((y \ x) \ z,y)) = K(x,T(x \ (y * z),y)). [hyper(228,a,12347,a(flip),b,12353,a(flip)),flip(a)]. 12394 K(x,T(x \ (y * z),y)) = K(x,z / (y \ x)). [hyper(8166,a,12393,a),flip(a)]. 12395 K(x,y / (z \ x)) = K(x,y * (x \ z)). [hyper(228,a,11097,a(flip),b,12394,a(flip))]. 12396 K(1 / x,(1 / x) \ (y / ((x * z) \ x))) = K(1 / x,y * ((1 / x) \ z)). [hyper(228,a,10963,a,b,12395,a(flip)),flip(a)]. 12397 K(T(1 / x,y),(1 / y) * (T(1 / x,y) \ z)) = K(x \ 1,z * (y \ x)). [hyper(228,a,10781,a,b,12366,a(flip)),flip(a)]. 12398 K((x / y) \ 1,z) * T(z,T(z * ((y / x) * ((y / x) \ ((x / y) \ 1))),y / x)) = L(z,(y / x) * ((y / x) \ ((x / y) \ 1)),z). [para(11779(a,1),12349(a,1,1,1))]. 12399 T(K(x,y) * K(y,z),u) \ 1 = K(y,T(x,u)) * K(z,T(y,u)). [para(10062(a,1),12385(a,1,1))]. 12400 K(x,T(y,z)) * K(u,T(x,z)) = T(K(x,y) * K(u,x),z). [hyper(11663,a,12399,a),flip(a)]. 12401 K(x,T(y,z)) * (K(u,T(x,z)) * w) = T(K(x,y) * K(u,x),z) * w. [para(12400(a,1),10033(a,1,1)),flip(a)]. 12402 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(228,a,10844,a(flip),b,12401,a(flip))]. 12403 K(1 / x,(1 / x) \ (y / ((x * z) \ x))) = K(1 / x,y * ((x \ 1) \ z)). [hyper(228,a,5390,a(flip),b,12396,a)]. 12404 K(T(1 / x,y),y \ (T(1 / x,y) \ z)) = K(x \ 1,z * (y \ x)). [hyper(5787,a,12397,a)]. 12405 K(1 / x,(1 / x) \ (y / z)) = K(x \ 1,y * (z \ x)). [hyper(228,a,10984,a(flip),b,12404,a(flip)),flip(a)]. 12406 K(1 / x,(1 / x) \ (y / ((x * z) \ x))) = K(x \ 1,y * ((x \ 1) \ z)). [hyper(228,a,2853,a(flip),b,12403,a)]. 12407 K(x \ 1,y * (((x * z) \ x) \ x)) = K(x \ 1,y * ((x \ 1) \ z)). [hyper(228,a,12405,a(flip),b,12406,a(flip)),flip(a)]. 12408 (x * (y * z)) \ K(y * x,x \ (1 / y)) = L(z,y,x) \ (1 / (x * y)). [para(8647(a,1),12345(a,1,2))]. 12409 (x * (y * z)) \ K(y * x,x \ (y \ 1)) = L(z,y,x) \ (1 / (x * y)). [para(5388(a,1),12408(a,1,2))]. 12410 ((x * (y * z)) \ (y * x)) * (1 / (y * x)) = L(z,y,x) \ (1 / (x * y)). [hyper(228,a,4365,a(flip),b,12409,a(flip)),flip(a)]. 12411 K(x \ T(x * y,z),T(u,x)) = K((x \ 1) * T(y / (x \ 1),z),u). [para(868(a,1),12392(a,1,1))]. 12412 K((x \ 1) * T(y / (x \ 1),z),u) = K(x \ T(y * x,z),u). [hyper(7655,a,12411,a),flip(a)]. 12414 R(T(x,y),z,R(x,u,w)) * (T(x,y) \ v5) = a(x,z,R(x,u,w)) * v5. [para(10450(a,1),12402(a,1,1)),flip(a)]. 12416 (R(T(x,y),z,T(x,y)) * (T(x,y) \ u)) * w = (a(x,z,R(x,x \ u,w)) * u) * w. [para(12414(a,1),11848(a,2,1))]. 12417 (R(T(x,y),z,T(x,y)) * (T(x,y) \ u)) * w = (R(a(x,z,x),u,w) * u) * w. [para(11839(a,1),12416(a,2,1,1))]. 12419 (R(T(x,y),z,x) * (T(x,y) \ u)) * w = (R(a(x,z,x),u,w) * u) * w. [para(7058(a,1),12417(a,1,1,1))]. 12421 (T(x,y) * (L(T(x,y),z,x) \ u)) * w = (R(a(x,z,x),u,w) * u) * w. [para(10309(a,1),12419(a,1,1))]. 12422 (R(a(x,y,x),z,u) * z) * u = (z * a(x,y,x)) * u. [para(9020(a,1),12421(a,1,1)),flip(a)]. 12423 ((a(x,y,x) * z) * u) \ ((z * a(x,y,x)) * u) = a(R(a(x,y,x),z,u),z,u). [hyper(71,a,12422,a(flip),b,664,a)]. 12425 a(R(a(x,y,x),z,u),z,u) = K(z,T(a(x,y,x),u)). [hyper(228,a,10947,a(flip),b,12423,a(flip))]. 12426 a(R(a(x,y,x),z,u),z,u) = K(z,a(x,y,x)). [para(9767(a,1),12425(a,2,2))]. 12427 a(R(a(x,y,x),z,u),z,u) = 1. [hyper(228,a,9772,a(flip),b,12426,a)]. 12430 L(x,y,R(a(z,u,z),y,x)) = x. [hyper(33,a,12427,a)]. 12431 (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(12430(a,1),11026(a,1,2))]. 12432 (R(a(x,y,x),z,u) * (z * u)) / u = z * R(a(x,y,x),z,u). [para(9795(a,1),12431(a,1,1,2,1))]. 12433 x * R(a(y,z,y),x,u) = a(y,z,y) * x. [hyper(490,a,12432,a),flip(a)]. 12434 R(a(x,y,x),z,u) = a(x,y,x). [hyper(17,a,9764,a(flip),b,12433,a)]. 12435 R(a(x,y,x),z,u) = L(a(x,y,x),w,v5). [hyper(228,a,12237,a,b,12434,a)]. 12437 ((a(x,y,x) * R(z,u,w)) * (u * w)) / ((z * u) * w) = a(x,y,x). [hyper(228,a,480,a,b,12434,a(flip)),flip(a)]. 12438 a(x,y,R(x,z,u)) = a(x,y,x). [hyper(228,a,11837,a(flip),b,12434,a(flip)),flip(a)]. 12439 a(x,y * K(z,y),x) = L(a(x,y,x),y,z). [hyper(228,a,10084,a(flip),b,12434,a(flip))]. 12440 (a(x,y,x) * z) * u = a(x,y,x) * (z * u). [para(12434(a,1),109(a,1,1)),flip(a)]. 12442 L(x,y,a(z,u,z)) = x. [para(12434(a,1),12430(a,1,3))]. 12443 T(x,a(y,z,y)) = L(x,u,a(w,v5,w)). [hyper(228,a,9766,a,b,12442,a),flip(a)]. 12444 L(x,a(y,z,y),u) = x. [hyper(228,a,12271,a,b,12442,a(flip)),flip(a)]. 12446 T(x,y * a(z,u,z)) = T(x,y). [hyper(228,a,12252,a(flip),b,12442,a(flip)),flip(a)]. 12447 (a(x,y,x) * z) / u = a(x,y,x) * (z / u). [para(12442(a,1),506(a,1,2))]. 12448 R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = ((a(x,y,x) * (z * u)) * w) / (u * w). [para(12442(a,1),448(a,1,2,1)),flip(a)]. 12452 K(L(x,a(y,z,y),u),w) = K(x,w). [hyper(228,a,11420,a(flip),b,12444,a(flip)),flip(a)]. 12453 (x * a(y,z,y)) \ u = a(y,z,y) \ (x \ u). [hyper(228,a,222,a(flip),b,12444,a(flip)),flip(a)]. 12454 (x * a(y,z,y)) * u = x * (a(y,z,y) * u). [para(12444(a,1),100(a,1,2))]. 12456 K(x,R(x,y,z) \ u) = K(x,u) * a(x,x \ u,x). [para(12438(a,1),11844(a,1,2)),flip(a)]. 12458 K(x,y * a(z,u,z)) = x \ T(x,y). [hyper(71,a,12446,a(flip),b,4705,a(flip)),flip(a)]. 12459 T(x,(y * z) * y) = T(x,y * (z * y)). [para(89(a,1),12446(a,1,2))]. 12460 T(x,T(y,z) / z) = T(x,z \ y). [para(8898(a,1),12446(a,1,2))]. 12461 T(x,a(y,z,y) \ u) = T(x,u). [para(9763(a,1),12446(a,1,2)),flip(a)]. 12462 T(x,a(y,z,y)) != u | u = x. [para(12461(a,1),5999(a,1))]. 12465 L(x,y,a(z,u,z)) != w | w = x. [para(12443(a,1),12462(a,1))]. 12466 T(x,y * a(z,u,z)) != w | T(x,y) = w. [para(12252(a,1),12465(a,1)),flip(b)]. 12467 K(x,y * a(z,u,z)) = K(x,y). [hyper(228,a,4649,a,b,12458,a)]. 12468 K(x,L(y,z,y) \ u) = K(x,y \ u). [para(9024(a,1),12467(a,1,2))]. 12469 K(x,a(y,z,y) \ u) = K(x,u). [para(9763(a,1),12467(a,1,2)),flip(a)]. 12470 K(x,y * R(z,u,z)) = K(x,y * z). [para(9813(a,1),12467(a,1,2))]. 12471 K(x,R(y,z,y) * u) = K(x,y * u). [para(9825(a,1),12467(a,1,2))]. 12472 K(x,R(y,z,y) \ u) = K(x,y \ u). [para(4265(a,1),12468(a,1,2,1)),flip(a)]. 12473 K(x,((y \ z) \ z) \ u) = K(x,T(y,z) \ u). [para(11906(a,1),12468(a,1,2,1)),flip(a)]. 12474 K(x,y * ((z \ u) \ u)) = K(x,y * T(z,u)). [para(7440(a,1),12470(a,1,2,2))]. 12476 K(x,((y \ z) \ z) * u) = K(x,T(y,z) * u). [para(7440(a,1),12471(a,1,2,1))]. 12477 K(x,T(y,y \ z) \ u) = K(x,T(y,z) \ u). [para(4101(a,1),12472(a,1,2,1))]. 12478 L(K(x,y \ (z \ u)),z \ u,z) = K(x,T(y * z,y) \ u). [para(12472(a,1),6369(a,1,1))]. 12480 R(a(x,y,x),z,u) != w | a(x,y,x) = w. [para(12435(a,2),334(a,1)),flip(b)]. 12481 T(x,(y / z) * ((z * K(z \ y,z)) * (y / z))) = T(x,y * (z \ y)). [para(5805(a,1),12459(a,1,2)),flip(a)]. 12482 a(x,y * K(z,y),x) = a(x,y,x). [hyper(228,a,12237,a(flip),b,12439,a)]. 12484 L(a(x,L(y,z,u),x),L(y,z,u),w) = a(x,L(y * K(w,y),z,u),x). [para(5819(a,1),12439(a,1,2)),flip(a)]. 12485 a(x,y * K(z,y),x) != u | a(x,y,x) = u. [para(12439(a,2),12248(a,1))]. 12487 a(x,T(y,z),x) = a(x,y,x). [para(4824(a,1),12482(a,1,2)),flip(a)]. 12488 a(x,y / z,x) = a(x,z \ y,x). [para(4717(a,1),12482(a,1,2))]. 12490 a(x,T(y,z),x) = K(x * y,T(T(x,u),w)) * K(x,T(T(y,u),w)). [hyper(228,a,11262,a,b,12487,a)]. 12492 a(x,R(y / z,u,w),x) = a(x,R(z \ y,u,w),x). [para(187(a,1),12487(a,1,2)),flip(a)]. 12493 a(1 / ((x * y) \ x),z,1 / ((x * y) \ x)) * K(T(z,y),1 / ((x * y) \ x)) = K(z * (1 / ((x * y) \ x)),1 / ((x * y) \ x)). [para(12487(a,1),8908(a,1,1))]. 12496 a(x,y / (z * y),x) = a(x,z \ 1,x). [hyper(228,a,12189,a(flip),b,12488,a)]. 12497 a(x,((y * (z * (u * K(w,w \ 1)))) \ ((y * z) * u)) \ 1,x) = a(x,K(w,w \ 1) / a(y,z,u),x). [para(10862(a,1),12496(a,1,2,2)),flip(a)]. 12498 a(x,y / z,x) != u | a(x,z \ y,x) = u. [para(4717(a,1),12485(a,1,2))]. 12499 a(x,R(y / z,z,u),x) != w | a(x,(z * u) \ (y * u),x) = w. [para(110(a,2),12498(a,1,2))]. 12500 (a(x,y,x) * (z * (u * w))) \ (((a(x,y,x) * z) * u) * w) = a(a(x,y,x) * z,u,w). [para(12440(a,1),24(a,2,1)),flip(a)]. 12501 (a(x,y,x) * (z * u)) \ ((a(x,y,x) * z) * (u * w)) = L(w,u,a(x,y,x) * z). [para(12440(a,1),28(a,2,1)),flip(a)]. 12502 (a(x,y,x) * z) \ u = a(x,y,x) \ (z \ u). [hyper(228,a,9796,a,b,12453,a(flip)),flip(a)]. 12503 R(x,a(y,z,y),u) = x. [hyper(4535,a,12454,a)]. 12505 T((a(x,y,x) * z) \ (u * z),a(x,y,x)) = T(a(x,y,x) \ u,a(x,y,x) * z). [hyper(6538,a,12503,a)]. 12506 K(x,((y \ z) \ z) \ u) = (w * K(T(y,z) \ u,x)) \ w. [hyper(228,a,5037,a,b,12473,a)]. 12508 K(x \ 1,y * T(x * z,x)) = K(x \ 1,y * ((x \ 1) \ z)). [hyper(228,a,12407,a(flip),b,12474,a(flip))]. 12509 K(x,y * T(z / u,z)) = K(x,y * (u \ z)). [para(64(a,1),12474(a,1,2,2,1)),flip(a)]. 12510 K(x,T(y / z,y) * u) = K(x,(z \ y) * u). [para(64(a,1),12476(a,1,2,1,1)),flip(a)]. 12511 K(x,T(y,y \ z) \ u) = K(x,((y \ z) \ z) \ u). [hyper(228,a,12473,a,b,12477,a)]. 12512 K(x,(a(y,z,y) * u) \ w) = K(x,u \ w). [para(12502(a,2),12469(a,1,2))]. 12513 L(K(x,y \ z),z,a(u,w,u)) = K(x,y \ (a(u,w,u) * z)). [hyper(6378,a,12512,a)]. 12514 K(x,T(y * z,y) \ u) = K(x,(z * y) \ u). [para(8896(a,1),12512(a,1,2,1))]. 12515 K(x,((y \ z) * y) \ u) = K(x,T(z,y) \ u). [para(14(a,1),12514(a,1,2,1,1)),flip(a)]. 12516 K(x,R(x,y,z) \ u) = K(x,x \ u). [hyper(228,a,8905,a(flip),b,12456,a)]. 12518 K(x,x \ ((x * R(T(x,y),z,u)) / w)) = K(x,w \ x). [hyper(10130,a,12516,a),flip(a)]. 12519 K(x,R(T(x,y),z,u) / w) = K(x,w \ x). [hyper(228,a,10971,a(flip),b,12518,a(flip)),flip(a)]. 12520 K(x,y \ R(x,z,u)) = K(x,y \ x). [hyper(9277,a,12519,a)]. 12524 K(R(x,y,z),u \ x) = K(x,R(u,y,z) \ x). [hyper(228,a,12036,a(flip),b,12520,a(flip)),flip(a)]. 12526 K(x,R(R(x / y,y,L(K(z,x),u,w)),v5,v6) \ x) = K(R(x,v5,v6),y). [hyper(228,a,11692,a(flip),b,12524,a(flip))]. 12527 K(x,((y \ z) \ z) \ u) != w | K(x,T(y,z) \ u) = w. [para(12506(a,2),5085(a,1))]. 12528 K(x,T(y * z,y) \ u) != w | K(x,(z * y) \ u) = w. [para(12478(a,1),6781(a,1))]. 12530 K(x,y \ (a(z,u,z) * w)) = K(x,y \ w). [hyper(12465,a,12513,a)]. 12532 K(x,y \ T(z * u,z)) = K(x,y \ (u * z)). [para(8896(a,1),12530(a,1,2,2))]. 12533 a(x,R(y \ z,y,u),x) != w | a(x,(y * u) \ (z * u),x) = w. [para(12492(a,1),12499(a,1))]. 12534 (R(x * a(y,x,y),z,u) * (z * u)) / ((x * z) * u) = a(y,R(x,z,u),y). [para(9781(a,1),12437(a,1,1,1))]. 12535 K(x * T(y,z),T(x,u)) = K(x * y,T(T(x,u),z)). [hyper(10460,a,12490,a)]. 12536 K(x * T(y,z),T(x,u)) = T(K(x * y,T(x,u)),z). [hyper(228,a,7152,a(flip),b,12535,a)]. 12538 T(K(x * y,x) * K(x,K(y,z)),u) = K(x * T(y,u),T(x,z)). [para(8008(a,2),12536(a,2,1)),flip(a)]. 12539 T(K(x * y,y) * K(y,K(x,z)),u) = K(y * T(x,u),T(y,z)). [para(5647(a,2),12538(a,1,1,1))]. 12540 K(x,K(y,T(z,u))) * K(y * x,T(x,u)) = K(x * T(y,u),T(x,z)). [hyper(12203,a,12539,a)]. 12541 T(x,(y / z) * y) = T(x,y * (z \ y)). [para(4628(a,1),12481(a,1,2,2))]. 12542 (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) = a(u,L(z * K(x * y,z),y,x),u). [hyper(228,a,11267,a(flip),b,12484,a(flip)),flip(a)]. 12543 R(R(K(x,y),y,L(K(z,x),u,w)),v5,v6) = K(R(x,v5,v6),y). [hyper(228,a,11770,a(flip),b,12526,a(flip)),flip(a)]. 12544 R(K(x,y),z,u) = K(R(x,z,u),y). [para(5702(a,1),12543(a,1,1))]. 12545 R(K(x,y),K(x,z),u) = K(x,y). [para(4028(a,1),12544(a,2,1))]. 12550 R(x * K(R(y,z,u),x),w,x) \ R(x,w,x) = R(K(x,y),z,u). [para(12544(a,1),9737(a,1,1,1,2))]. 12552 (K(x,y) * K(x,z)) * u = K(x,y) * (K(x,z) * u). [para(12545(a,1),109(a,1,1)),flip(a)]. 12553 L(x,K(y,z),K(y,u)) = x. [hyper(445,a,12552,a)]. 12554 (K(x,y) * K(z,y)) * (K(y,x) * (K(y,z) * u)) = L(u,K(y,x) * K(y,z),K(x,y) * K(z,y)). [para(12552(a,1),11793(a,1,2))]. 12555 (K(x,y) * K(x,z)) \ u = K(z,x) * (K(y,x) * u). [hyper(228,a,6292,a(flip),b,12553,a(flip)),flip(a)]. 12556 K(x,y) * (K(z,y) * K(y,y \ 1)) = ((y \ K(y,z)) * T(y,x)) \ 1. [hyper(228,a,6582,a(flip),b,12555,a(flip))]. 12557 K(x,R(y,z,u)) * (R(x,w,x) \ R(x,w,x)) = R(K(x,y),z,u). [hyper(11679,a,12550,a)]. 12558 K(x,R(y,z,u)) * 1 = R(K(x,y),z,u). [para(52(a,1),12557(a,1,2))]. 12559 R(K(x,y),z,u) = K(x,R(y,z,u)). [hyper(82,a,12558,a),flip(a)]. 12561 R(K(x,y),z,u) != w | K(x,R(y,z,u)) = w. [para(12558(a,1),81(a,1)),flip(b)]. 12562 K(R(x,y,z),u) = K(x,R(u,y,z)). [hyper(228,a,12544,a(flip),b,12559,a(flip)),flip(a)]. 12567 K(x,y) * K(y,R(x,z,u)) = a(K(y,x),z,u). [para(12559(a,1),12050(a,1,2))]. 12568 T(x,x * y) * a(K(x,y),z,u) = L(x * K(x,R(y,z,u)),y,x). [para(12559(a,1),12074(a,2,1,2))]. 12569 K(R(x,y,z),R(x * y,y * z,u)) = K(x,R(x * y,z,u)). [hyper(6971,a,12562,a),flip(a)]. 12570 K(R(x,y,y \ 1),z) = K(x,z). [hyper(228,a,12390,a(flip),b,12562,a)]. 12573 K(R(x,y,z),u) != w | K(x,R(u,y,z)) = w. [para(12544(a,1),12561(a,1))]. 12574 a(K(x,y),z * y,u) = a(K(x,y),z,u). [hyper(228,a,12055,a(flip),b,12567,a(flip)),flip(a)]. 12575 K(a(K(x,y),z * y,u),w) = a(K(y,K(x,w)),z,u). [para(12574(a,2),12089(a,2,1)),flip(a)]. 12576 a(K(x,K(y,z)),u * y,w) = a(K(y,K(x,z)),u,w). [hyper(228,a,12091,a,b,12575,a(flip)),flip(a)]. 12577 K(x,R(R(x * y,y * z,u),y,z)) = K(x,R(x * y,z,u)). [hyper(12573,a,12569,a)]. 12578 T(x,x * y) * a(K(x,y),z,u) = L(T(x,R(y,z,u)),y,x). [para(4705(a,2),12568(a,2,1))]. 12579 K(x * T(y,z),x) = K(y * x,T(x,z)). [hyper(17,a,8473,a,b,12540,a),flip(a)]. 12580 1 / (x \ K(y * x,T(x,z))) = T(x,x * T(y,z)). [para(12579(a,1),4806(a,2,2,2)),flip(a)]. 12581 T(x,T(y * x,z)) = T(x,x * T(y,z)). [hyper(7234,a,12580,a)]. 12582 T(x,T(x * y,z)) = T(x,x * T(y,z)). [hyper(12363,a,12581,a)]. 12583 T(x / T(y,x),z) * T(y,T(y * (y \ x),z)) = y * T(y \ x,z). [para(12582(a,2),11545(a,1,2))]. 12584 ((x \ K(x,y)) * T(x,z)) \ 1 = K(z,x) * (x * (K(y,x) / x)). [para(2952(a,1),12556(a,1,2)),flip(a)]. 12585 ((x \ K(x,y)) * T(x,z)) \ 1 = x * (K(z,x) * (K(y,x) / x)). [hyper(228,a,5164,a(flip),b,12584,a)]. 12586 ((x \ K(x,y)) * T(x,z)) \ 1 = x * (K(y,x) / T(x,z)). [para(8265(a,1),12585(a,2,2))]. 12587 K(((x \ 1) \ K(y,x)) \ T(x,z),T(u,w) \ ((u \ 1) \ K(v5,u))) = K((x * (K(y,x) / T(x,z))) \ 1,u * (K(v5,u) / T(u,w))). [para(12586(a,1),11560(a,1,2)),flip(a)]. 12588 T(x / T(y,x),z) * T(y,T(x,z)) = y * T(y \ x,z). [para(14(a,1),12583(a,1,2,2,1))]. 12589 x * K(T(x,y) / y,z) = y * T(y \ x,z). [hyper(228,a,9600,a(flip),b,12588,a(flip)),flip(a)]. 12590 K(T(x,y) / y,z) = K(y \ x,z). [hyper(17,a,5241,a(flip),b,12589,a)]. 12591 T(x * K(x / y,z),x) = x * K(y \ x,z). [para(12590(a,1),9854(a,2,2))]. 12592 (x \ (x * K(y \ x,z))) \ (x * K(x / y,z)) = L(x,K(y \ x,z),x). [para(12591(a,1),9930(a,1,1,2))]. 12593 K(x \ y,z) \ (y * K(y / x,z)) = L(y,K(x \ y,z),y). [para(13(a,1),12592(a,1,1))]. 12594 L(x,K(y \ x,z),x) = x. [hyper(8029,a,12593,a)]. 12596 L(x,K(y,z),x) = x. [para(64(a,1),12594(a,1,2,1))]. 12597 T(K(x,y) * z,z) = z * K(x,y). [hyper(228,a,10104,a(flip),b,12596,a(flip)),flip(a)]. 12601 T(x * T(x \ y,z),y) = y * K((x / y) \ 1,z). [para(4956(a,1),12597(a,1,1))]. 12602 K((T(x,y) \ y) \ 1,z) = K((y / x) \ 1,z). [hyper(6535,a,12601,a)]. 12603 (((x * a(y,x,y)) * z) * u) / ((x * z) * u) = a(y,R(x,z,u),y). [para(109(a,1),12534(a,1,1))]. 12604 ((x * (a(y,x,y) * z)) * u) / ((x * z) * u) = a(y,R(x,z,u),y). [para(12454(a,1),12603(a,1,1,1))]. 12605 ((x * (a(y,x,y) * (x \ z))) * u) / (z * u) = a(y,R(x,x \ z,u),y). [para(14(a,1),12604(a,1,2,1))]. 12606 a(x,R(y,y \ z,u),x) = ((a(x,y,x) * z) * u) / (z * u). [para(11510(a,1),12605(a,1,1,1)),flip(a)]. 12607 a(x,R(y,y \ z,u),x) = R(a(x,y,x),z,u). [hyper(228,a,30,a,b,12606,a)]. 12608 R(a(x,y,x),y * z,u) = a(x,R(y,z,u),x). [para(13(a,1),12607(a,1,2,2)),flip(a)]. 12609 a(x,R(y,z,u),x) = a(x,y,x). [hyper(12480,a,12608,a),flip(a)]. 12610 a(x,(y * z) \ (u * z),x) = a(x,y \ u,x). [hyper(12533,a,12609,a)]. 12612 a(x,y,x) * (R(y,z,u) * x) = T(x * R(y,z,u),x). [para(12609(a,1),8896(a,1,1))]. 12613 R(T(x,y),R(z,u,w),x) = a(x,z,x) * T(x,y). [para(12609(a,1),8913(a,1,1)),flip(a)]. 12614 L(x,(y * z) \ (u * z),x) = (w / x) \ (a(x,y \ u,x) \ w). [para(12610(a,1),9789(a,1,2,1)),flip(a)]. 12615 R(T(x,y),R(z,u,w),x) = R(T(x,y),z,x). [hyper(228,a,8913,a(flip),b,12613,a)]. 12616 R(x,y,z) * R(T(u,x * u),x,u) = T(u * R(x,y,z),u * x). [para(12615(a,1),12215(a,1,2))]. 12617 R(x,y,z) * R(u,x,u) = T(u * R(x,y,z),u). [hyper(9818,a,12612,a)]. 12618 (R(x,y,z) * R(u,x,u)) \ ((u * R(x,y,z)) * u) = T(u,u * R(x,y,z)). [para(12617(a,2),3926(a,1,1))]. 12619 L(x,(y * z) \ (u * z),x) = L(x,y \ u,x). [hyper(228,a,9789,a(flip),b,12614,a)]. 12620 T(x * R(y,z,u),x * y) = R(y,z,u) * T(x,y). [para(738(a,1),12616(a,1,2)),flip(a)]. 12622 (x * R(y,z,u)) / (R(y,z,u) * T(x,y)) = K(x * y,x * R(y,z,u)). [para(12620(a,1),4645(a,2,2)),flip(a)]. 12623 T(K(x,y) * K(y,R(x,z,u)),R(x,z,u)) = K(y * x,y * R(x,z,u)). [hyper(228,a,12163,a(flip),b,12622,a(flip)),flip(a)]. 12624 T(a(K(x,y),z * y,u),R(y,z,u)) = K(x * y,x * R(y,z,u)). [para(12055(a,1),12623(a,1,1))]. 12625 K(x * y,x * R(y,z,u)) = a(K(x,T(y,R(y,z,u))),z * y,u). [hyper(228,a,12314,a,b,12624,a(flip))]. 12626 K(x * y,x * R(y,z,u)) = a(K(x,y),z * y,u). [para(602(a,1),12625(a,2,1,2))]. 12627 R(K(x * y,x * R(y,z,u)),x * R(y,z,u),w) = a(K(x,y),z * y,u). [hyper(6929,a,12626,a)]. 12628 K(x,(x / y) * R(y,z,u)) = a(K(x / y,y),z * y,u). [para(16(a,1),12626(a,1,1))]. 12629 K(x,(y \ x) * R(y,z,u)) = a(K(x / y,y),z * y,u). [hyper(228,a,8702,a(flip),b,12628,a(flip)),flip(a)]. 12630 K(x,x * (y \ R(y,z,u))) = a(K(x / y,y),z * y,u). [hyper(228,a,12381,a(flip),b,12629,a(flip)),flip(a)]. 12631 K(x,x * (y \ R(y,z,u))) = a(K(y \ x,y),z * y,u). [para(4882(a,1),12630(a,2,1))]. 12632 L(T(x,R(y,z,u)),y,T(x,R(y,z,u))) = T(x,x * R(y,z,u)). [hyper(228,a,10290,a(flip),b,12618,a(flip)),flip(a)]. 12633 R(a(K(x,y),z * y,u),x * R(y,z,u),w) = a(K(x,y),z * y,u). [para(12626(a,1),12627(a,1,1))]. 12634 (a(x,y,x) * (z * u)) \ (a(x,y,x) * (z * (u * w))) = L(w,u,a(x,y,x) * z). [para(12440(a,1),12501(a,1,2))]. 12635 T(a(x,y,x) \ z,a(x,y,x) * u) = (a(x,y,x) * u) \ (z * u). [hyper(12462,a,12505,a)]. 12636 T(a(x,y,x) \ z,u * a(x,y,x)) = (a(x,y,x) * u) \ (z * u). [hyper(9797,a,12635,a)]. 12638 T(a(x,y,x) \ z,u * a(x,y,x)) = a(x,y,x) \ (u \ (z * u)). [hyper(228,a,12502,a(flip),b,12636,a)]. 12639 T(a(x,y,x) \ z,u * a(x,y,x)) = a(x,y,x) \ T(z,u). [para(32(a,2),12638(a,2,2))]. 12640 a(x,y,x) \ T(z,u) = T(a(x,y,x) \ z,u). [hyper(12466,a,12639,a),flip(a)]. 12642 K(x,y) * T(a(x,y,x) \ z,u) = K(x,x * y) * T(z,u). [para(12640(a,1),9483(a,1,2))]. 12643 K(x,x * y) * T(a(x,y,x) * z,u) = K(x,y) * T(z,u). [para(13(a,1),12642(a,1,2,1)),flip(a)]. 12644 T(a(x,y,x) * z,u) = a(x,y,x) * T(z,u). [hyper(9484,a,12643,a),flip(a)]. 12645 (x * (y * T(a(z,u,z) * (a(z,u,z) \ (y \ (x \ w))),v5))) \ w = K(v5,(x * (y * a(z,u,z))) \ w). [para(12644(a,2),6407(a,1,1,2,2))]. 12646 T(x * a(y,z,y),u) = a(y,z,y) * T(x,u). [para(9764(a,1),12644(a,1,1))]. 12647 a(x,y,x) \ T(z * a(x,y,x),u) = T(z,u). [hyper(71,a,12646,a,b,xx)]. 12648 a(x,y,x) \ T(z * a(x,y,x),u) = z * K(z,u). [hyper(228,a,4705,a(flip),b,12647,a)]. 12650 K(x * a(y,z,y),u) = K(x,u). [hyper(9801,a,12648,a)]. 12652 K(a(x,y,x) * z,u) = K(z,u). [para(9764(a,2),12650(a,1,1))]. 12655 K(L(x,a(y,z,y),u),w) = K(a(v5,v6,v5) * x,w). [hyper(228,a,12452,a,b,12652,a),flip(a)]. 12657 K(a(x,y,x) * z,u) != w | K(z,u) = w. [para(12655(a,1),7373(a,1))]. 12658 K(x * a(y,z,y),u) != w | K(x,u) = w. [para(9764(a,1),12657(a,1,1))]. 12659 K(T(x,y) / y,z) != u | K(y \ x,z) = u. [para(8898(a,1),12658(a,1,1))]. 12660 K(x / T(y,x),z) != u | K(y \ x,z) = u. [para(3937(a,1),12659(a,1,1))]. 12661 L(L(x,y,z),z * y,a(u,w,u)) = L(x,y,a(u,w,u) * z). [hyper(769,a,12634,a)]. 12662 L(x,y,a(z,u,z) * w) = L(x,y,w). [hyper(12465,a,12661,a)]. 12664 L(x,y,a(z,u,z) \ w) = L(x,y,w). [para(14(a,1),12662(a,1,3)),flip(a)]. 12665 L(x,y,K(z \ u,z)) = L(x,y,K(u,z)). [para(8871(a,1),12664(a,1,3))]. 12666 L(x,y / z,K(y,z)) = x. [hyper(7272,a,12665,a)]. 12667 K(x,y) * ((x / y) * z) = (x / T(y,x)) * z. [para(12666(a,1),5209(a,1,2)),flip(a)]. 12668 K(x,y) * ((y / T(x,y)) * z) = (y / x) * z. [hyper(5071,a,12667,a)]. 12669 R(K(x,y),x \ y,z) = K(x,y). [hyper(9199,a,12668,a)]. 12670 R(K(x,x * y),y,z) = K(x,x * y). [para(13(a,1),12669(a,1,2))]. 12672 K(x,R(y \ 1,y,z) \ x) = K(x,x * y). [hyper(228,a,11766,a,b,12670,a(flip)),flip(a)]. 12673 T(x,R(y \ 1,y,z) \ x) = x * K(x,x * y). [para(12670(a,1),10582(a,2,2))]. 12675 R(K(x,x * y),y * z,u) = K(x,((z * u) / ((y * z) * u)) \ x). [para(12672(a,1),11771(a,1,1))]. 12676 T(x,R(y \ 1,y,z) \ x) = T(x,x * y). [hyper(228,a,4705,a,b,12673,a)]. 12678 T(x,(y / (z * y)) \ x) = T(x,x * z). [hyper(9954,a,12676,a)]. 12679 T(x,(y / z) \ x) = T(x,x * (z / y)). [para(16(a,1),12678(a,1,2,1,2))]. 12680 T(x,(y * x) / z) = T(x,x * (y / z)). [hyper(228,a,8580,a,b,12679,a(flip)),flip(a)]. 12681 x * K(x,x * (y / z)) = T(x,(y * x) / z). [hyper(228,a,4705,a(flip),b,12680,a),flip(a)]. 12682 K(x,(y * x) / z) = K(x,x * (y / z)). [hyper(17,a,4705,a(flip),b,12681,a),flip(a)]. 12683 K(x,(y / z) \ x) = K(x,x * (z / y)). [hyper(8380,a,12682,a)]. 12684 (x * K(y,y * (z / u))) / (y \ x) = T(y,T((z * y) / u,x)). [para(12682(a,1),7883(a,1,1,2))]. 12685 R(K(x,x * (y / z)),x * u,w) = K(R(x,u,w),(z / y) \ x). [para(12683(a,1),6734(a,1,1))]. 12686 T(x,T((y * x) / z,u)) = T(x,T(x * (y / z),u)). [hyper(7888,a,12684,a),flip(a)]. 12687 T(x,T(y / (x \ z),u)) = T(x,T(x * (y / z),u)). [hyper(228,a,8607,a(flip),b,12686,a(flip)),flip(a)]. 12688 T(x,T((y / z) \ x,u)) = T(x,T(x * (z / y),u)). [hyper(9657,a,12687,a)]. 12689 K(R(x,y,z),(u / w) \ x) = K(R(x,y,z),x * (w / u)). [hyper(228,a,6734,a(flip),b,12685,a(flip))]. 12690 K(R(x,y,z),T(x * T(u,w),w)) = K(R(x,y,z),x * (w / (u \ w))). [hyper(228,a,12020,a(flip),b,12689,a(flip)),flip(a)]. 12691 R(K(x,x * y),y * z,u) = K(x,x * (((y * z) * u) / (z * u))). [hyper(228,a,12683,a(flip),b,12675,a)]. 12693 R(K(x,x * y),y * z,u) = K(x,x * R(y,z,u)). [para(30(a,2),12691(a,2,2,2))]. 12694 K(x,R(x * y,y * z,u)) = K(x,x * R(y,z,u)). [hyper(12561,a,12693,a)]. 12695 K(R(x,y,z),T(x * T(u,w),w)) = K(R(x,y,z),x * u). [para(61(a,1),12690(a,2,2,2))]. 12696 R(K(R(x,y,z),x * u),u,w) = K(R(x,y,z),x * u). [hyper(228,a,12019,a,b,12695,a(flip)),flip(a)]. 12698 R(K(x,R(x * y,z,u)),y,w) = K(R(x,z,u),x * y). [para(12562(a,1),12696(a,1,1))]. 12699 K(x,R(R(x * y,z,u),y,w)) = K(R(x,z,u),x * y). [hyper(12561,a,12698,a)]. 12700 K(x,R(R(x * y,z,u),y,w)) = K(x,R(x * y,z,u)). [hyper(228,a,12562,a(flip),b,12699,a)]. 12701 K(x,R(x * y,y * z,u)) = K(x,R(x * y,z,u)). [hyper(228,a,12577,a(flip),b,12700,a(flip))]. 12703 K(x,R(x * y,z,u)) = K(x,x * R(y,z,u)). [hyper(228,a,12694,a(flip),b,12701,a(flip))]. 12704 K(x,R(x * y,z,u)) * x = T(x,x * R(y,z,u)). [para(12703(a,2),4712(a,2,1)),flip(a)]. 12705 T(x,R(x * y,z,u)) = T(x,x * R(y,z,u)). [hyper(4713,a,12704,a)]. 12706 L(T(x,R(y,z,u)),y,T(x,R(y,z,u))) = T(x,R(x * y,z,u)). [hyper(228,a,12632,a,b,12705,a),flip(a)]. 12707 L(T(x,R(y,z,u)),y,x) = T(x,R(x * y,z,u)). [hyper(228,a,10280,a(flip),b,12706,a(flip)),flip(a)]. 12708 T(x,x * y) * a(K(x,y),z,u) = T(x,R(x * y,z,u)). [hyper(228,a,12578,a,b,12707,a(flip)),flip(a)]. 12710 L(T(x,R(y / T(1 / (1 / x),z),u,w)),y / T(1 / (1 / x),z),x) = T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)). [para(3294(a,2),12707(a,2,2,1))]. 12711 R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = (a(x,y,x) * ((z * u) * w)) / (u * w). [para(12440(a,1),12448(a,2,1))]. 12712 R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = a(x,y,x) * (((z * u) * w) / (u * w)). [hyper(228,a,12447,a(flip),b,12711,a)]. 12713 R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = a(x,y,x) * R(z,u,w). [para(30(a,2),12712(a,2,2))]. 12714 R(a(x,y,x) * z,u,w) = a(x,y,x) * R(z,u,w). [para(12442(a,1),12713(a,1,2))]. 12715 T(x \ R(a(y,x \ 1,y) * (a(y,x \ 1,y) \ x),z,u),y) = y \ T(y * (x \ R(x,z,u)),y). [para(12714(a,2),12301(a,1,1,2))]. 12716 (a(x,y,x) * (z * (u * w))) \ ((a(x,y,x) * (z * u)) * w) = a(a(x,y,x) * z,u,w). [para(12440(a,1),12500(a,1,2,1))]. 12717 (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) = a(u,(x * (y * z)) / (x * y),u). [para(4842(a,1),12542(a,2,2))]. 12718 L(L(a(x,y,x),y,z),z * y,u) = a(x,(u * (z * y)) / (u * z),x). [hyper(8902,a,12717,a)]. 12719 L(a(x,y,x),z * y,u) = a(x,(u * (z * y)) / (u * z),x). [para(12237(a,1),12718(a,1,1))]. 12720 L(a(x,y,x),z * y,u) = a(x,(u * z) \ (u * (z * y)),x). [hyper(228,a,12488,a(flip),b,12719,a)]. 12722 L(a(x,y,x),z * y,u) = a(x,L(y,z,u),x). [para(28(a,2),12720(a,2,2))]. 12723 a(x,L(y,z,u),x) = a(x,y,x). [hyper(12248,a,12722,a),flip(a)]. 12725 a(x,(y * z) \ u,x) = a(x,z \ (y \ u),x). [para(222(a,1),12723(a,1,2))]. 12726 R(x,L(y,z,u),x) = x * a(x,y,x). [para(12723(a,1),8880(a,1,2)),flip(a)]. 12727 L(x,L(y,z,u),x) = a(x,y,x) \ x. [para(12723(a,1),9012(a,1,1)),flip(a)]. 12728 R(x,L(y,z,u),x) = R(x,y,x). [hyper(228,a,8880,a(flip),b,12726,a)]. 12729 L(x,y,z) * T(R(u,x,u),R(u,L(x,y,z),u) * x) = T(T(u,u * x) * L(x,y,z),u). [para(12728(a,1),12207(a,1,2,1))]. 12730 L(x,L(y,z,u),x) = L(x,y,x). [hyper(228,a,9012,a(flip),b,12727,a)]. 12731 L(x,L(y,z,u) \ y,x) = L(x,a(u,z,y),x). [para(1703(a,2),12730(a,1,2)),flip(a)]. 12732 (a(x,y,x) * (z * (u * w))) \ (a(x,y,x) * ((z * u) * w)) = a(a(x,y,x) * z,u,w). [para(12440(a,1),12716(a,1,2))]. 12733 L(a(x,y,z),x * (y * z),a(u,w,u)) = a(a(u,w,u) * x,y,z). [hyper(771,a,12732,a)]. 12734 a(a(x,y,x) * z,u,w) = a(z,u,w). [hyper(12465,a,12733,a)]. 12736 a(a(x,y,x) \ z,u,w) = a(z,u,w). [para(14(a,1),12734(a,1,1)),flip(a)]. 12737 a(K(x * y,x),z,u) = a(K(y,x),z,u). [para(8891(a,1),12734(a,1,1))]. 12738 a(K(x * y,y),z,u) = a(K(x,y),z,u). [para(8907(a,1),12734(a,1,1))]. 12739 a(K(x,x \ y),z,u) = a(K(x,y),z,u). [para(8872(a,1),12734(a,1,1))]. 12740 a(K(x \ y,x),z,u) = a(K(y,x),z,u). [para(8871(a,1),12736(a,1,1))]. 12741 a(K(x \ 1,y),z,u) = a(K(x \ y,y),z,u). [para(5330(a,1),12737(a,1,1)),flip(a)]. 12742 a(K(x,y \ x),z,u) = a(K(y,y \ x),z,u). [para(14(a,1),12738(a,1,1,1))]. 12743 K(x,x * (y \ R(y,z,u))) = a(K(x,y),z * y,u). [hyper(228,a,12631,a,b,12740,a(flip)),flip(a)]. 12744 a(K(x,y \ x),z,u) = a(K(y,x),z,u). [hyper(228,a,12739,a(flip),b,12742,a)]. 12746 a(K(x \ y,y),z,u) = a(K(y,x),z,u). [para(5107(a,1),12744(a,1,1)),flip(a)]. 12747 a(K(x \ 1,y),z,u) = a(K(y,x),z,u). [hyper(228,a,12741,a,b,12746,a(flip)),flip(a)]. 12748 a(K(x,y \ 1),z,u) = a(K(y,x),z,u). [para(2857(a,1),12747(a,1,1)),flip(a)]. 12749 a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(R(y,x * z,u) \ 1,x),w,v5). [para(10989(a,2),12747(a,2,1)),flip(a)]. 12750 K(x \ 1,y) * K(y,R(x,z,u) \ 1) = a(K(x,y),z,u). [hyper(228,a,12054,a,b,12748,a(flip)),flip(a)]. 12751 a(K(x,R(y,z,u) \ 1),w,v5) = a(K(y,R(x,z,u)),w,v5). [para(12562(a,1),12748(a,2,1))]. 12752 (x * K(y \ R(y,z,u),x)) \ L(x,y \ R(y,z,u),x) = a(K(x,y),z * y,u). [hyper(228,a,5870,a,b,12743,a(flip)),flip(a)]. 12753 (x \ T(x * (y \ R(y,z,u)),x)) \ (x \ (x * (y \ R(y,z,u)))) = a(K(x,y),z * y,u). [hyper(228,a,5293,a(flip),b,12743,a(flip)),flip(a)]. 12754 R(K(x \ 1,y) * K(y,R(x,z,u) \ 1),w,v5) = a(K(x,R(y,w,v5)),z,u). [hyper(228,a,12105,a,b,12751,a(flip)),flip(a)]. 12755 a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(y \ 1,R(x,z,u)),w,v5). [para(6931(a,1),12749(a,2,1))]. 12756 a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(R(x,z,u),y),w,v5). [hyper(228,a,12747,a(flip),b,12755,a)]. 12757 a(K(x,R(y,x * z,u)),w,v5) = a(K(R(x,z,u),y),w,v5). [para(10989(a,1),12756(a,1,1))]. 12758 a(K(x,R(y,x * z,u)),w,v5) = a(K(x,R(y,z,u)),w,v5). [para(12562(a,1),12757(a,2,1))]. 12759 a(K(x,R(y,z,u)),w,v5) = R(a(K(x,y),w,v5),z,u). [para(12750(a,1),12754(a,1,1)),flip(a)]. 12760 a(K(x,R(y,x * R(y,z,u),w)),z * y,u) = a(K(x,y),z * y,u). [hyper(228,a,12633,a(flip),b,12759,a)]. 12761 a(K(x,R(y,R(y,z,u),w)),z * y,u) = a(K(x,y),z * y,u). [hyper(228,a,12758,a(flip),b,12760,a(flip)),flip(a)]. 12762 L(x,y,z) * T(R(u,x,u),R(u,x,u) * x) = T(T(u,u * x) * L(x,y,z),u). [para(12728(a,1),12729(a,1,2,2,1))]. 12764 L(x,y,z) * T(R(u,x,u),x * R(u,x,u)) = T(T(u,u * x) * L(x,y,z),u). [para(4066(a,2),12762(a,1,2))]. 12766 L(x,y,z) * T(R(u,x,u),T(u * x,u)) = T(T(u,u * x) * L(x,y,z),u). [para(4040(a,1),12764(a,1,2,2))]. 12767 L(x,y,z) * T(R(u,x,u),x * u) = T(T(u,u * x) * L(x,y,z),u). [para(12358(a,1),12766(a,1,2))]. 12768 T(T(x,x * y) * L(y,z,u),x) = L(y,z,u) * T(x,y). [para(736(a,1),12767(a,1,2)),flip(a)]. 12769 T(x * L(y,z,u),x * y) = L(y,z,u) * T(x,y). [hyper(228,a,4278,a(flip),b,12768,a(flip)),flip(a)]. 12770 (x * L(y,z,u)) \ (L(y,z,u) * T(x,y)) = K(x * L(y,z,u),x * y). [hyper(71,a,12769,a(flip),b,4705,a(flip))]. 12772 K(x * L(y,z,u),x * y) = K(x,y) * K(L(y,z,u),x). [hyper(8868,a,12770,a),flip(a)]. 12773 K(x * L(y,z,u),x * y) = a(u,z,K(x,y)). [hyper(228,a,11422,a(flip),b,12772,a)]. 12774 K(x,(x / L(y,z,u)) * y) = a(u,z,K(x / L(y,z,u),y)). [para(16(a,1),12773(a,1,1))]. 12775 K(x,y * (L(y,z,u) \ x)) = a(u,z,K(x / L(y,z,u),y)). [hyper(228,a,6963,a(flip),b,12774,a(flip)),flip(a)]. 12776 K(x,y * (L(y,z,u) \ x)) = a(u,z,K(y \ x,y)). [para(11336(a,1),12775(a,2,3))]. 12777 K(x,y * (L(y,z,u) \ x)) = a(u,z,K(x,y)). [hyper(228,a,11488,a(flip),b,12776,a)]. 12779 K(x,x * (L(y,z,u) \ y)) = a(u,z,K(x,y)). [hyper(228,a,10721,a(flip),b,12777,a(flip)),flip(a)]. 12780 (x * K(L(y,z,u) \ y,x)) \ L(x,L(y,z,u) \ y,x) = a(u,z,K(x,y)). [hyper(228,a,5870,a,b,12779,a(flip)),flip(a)]. 12781 K(x / (L(y,z,u) \ y),x) = a(u,z,K(x / (L(y,z,u) \ y),y)). [para(16(a,1),12779(a,1,2))]. 12782 K(x * (L(y,z,u) \ y),x) = w / (a(u,z,K(x,y)) * w). [para(12779(a,1),5040(a,1,2,1)),flip(a)]. 12783 K(x * (L(y,z,u) \ y),x) = a(u,z,K(y,x)). [hyper(228,a,9966,a(flip),b,12782,a)]. 12784 a(x,y,K(L(z,u,w) \ z,v5)) = a(x,y,a(w,u,K(z,v5))). [para(12783(a,1),11490(a,1,3)),flip(a)]. 12785 a(x,y,K(z,u \ L(u,w,v5))) = a(x,y,a(v5,w,K(u,z))). [hyper(228,a,11505,a(flip),b,12784,a(flip)),flip(a)]. 12786 K(a(x,y,z),u) * a(x * y,z,a(x,y,K(z,u))) = K(L(z,y,x) \ z,u). [para(12784(a,1),9696(a,1,2))]. 12787 a(x,T(y,z),a(u,w,K(y,v5))) * K(v5,L(y \ L(y,w,u),y,x)) = K(v5,y \ L(y,w,u)). [para(12785(a,1),11685(a,1,1))]. 12788 K((L(x,y,z) \ x) \ u,u) = a(z,y,K(u / (L(x,y,z) \ x),x)). [hyper(5796,a,12781,a)]. 12789 K(x * (y \ L(y,z,u)),x) = a(u,z,K(x / (L(y,z,u) \ y),y)). [hyper(228,a,10731,a(flip),b,12788,a(flip)),flip(a)]. 12790 K(x * (y \ L(y,z,u)),x) = a(u,z,K((y / x) \ y,y)). [para(11344(a,1),12789(a,2,3))]. 12791 K(x * (y \ L(y,z,u)),x) = a(u,z,K(x,y)). [para(64(a,1),12790(a,2,3,1))]. 12794 K(x,x * (y \ L(y,z,u))) = w / (a(u,z,K(x,y)) * w). [para(12791(a,1),5040(a,1,2,1)),flip(a)]. 12795 K(x,x * (y \ L(y,z,u))) = a(u,z,K(y,x)). [hyper(228,a,9966,a(flip),b,12794,a)]. 12796 T(x,x * (y \ L(y,z,u))) = x * a(u,z,K(y,x)). [para(12795(a,1),4705(a,2,2))]. 12797 (x * K(L(y,z,u) \ y,x)) \ L(x,a(u,z,y),x) = a(u,z,K(x,y)). [para(12731(a,1),12780(a,1,2))]. 12798 K(x,L(y,z,u) \ y) * (x \ L(x,a(u,z,y),x)) = a(u,z,K(x,y)). [hyper(5672,a,12797,a)]. 12799 x \ L(T(x,L(y,z,u) \ y),a(u,z,y),x) = a(u,z,K(x,y)). [hyper(228,a,7414,a(flip),b,12798,a(flip)),flip(a)]. 12800 K(L(x,y,z) \ x,u) = K(a(z,y,x),u) * 1. [para(9714(a,1),12786(a,1,2)),flip(a)]. 12801 K(L(x,y,z) \ x,u) = K(a(z,y,x),u). [hyper(228,a,12,a(flip),b,12800,a)]. 12803 K(x,L(y,z,u) \ y) = w / (K(a(u,z,y),x) * w). [para(12801(a,1),5040(a,1,2,1)),flip(a)]. 12804 K(x,L(y,z,u) \ y) = K(x,a(u,z,y)). [hyper(228,a,5040,a(flip),b,12803,a)]. 12805 T(x,L(y,z,u) \ y) = x * K(x,a(u,z,y)). [para(12804(a,1),4705(a,2,2))]. 12806 T(x,L(y,z,u) \ y) = T(x,a(u,z,y)). [hyper(228,a,4705,a,b,12805,a)]. 12807 x \ L(T(x,a(y,z,u)),a(y,z,u),x) = a(y,z,K(x,u)). [para(12806(a,1),12799(a,1,2,1))]. 12808 K(x,x * a(y,z,u)) = a(y,z,K(x,u)). [hyper(4932,a,12807,a)]. 12809 1 * K(x,L(y \ L(y,z,u),y,w)) = K(x,y \ L(y,z,u)). [para(9715(a,1),12787(a,1,1))]. 12810 K(x,L(y \ L(y,z,u),y,w)) = K(x,y \ L(y,z,u)). [hyper(74,a,12809,a)]. 12812 K(x,a(y,z,u) \ 1) = K(x,u \ L(u,z,y)). [hyper(228,a,6477,a(flip),b,12810,a(flip)),flip(a)]. 12814 K(x,a(y,z,x) \ 1) = 1. [hyper(228,a,4600,a(flip),b,12812,a)]. 12815 x * K(x,y \ L(y,z,u)) = T(x,a(u,z,y) \ 1). [para(12812(a,1),4705(a,2,2)),flip(a)]. 12818 T(x,a(y,z,u) \ 1) = T(x,u \ L(u,z,y)). [hyper(4708,a,12815,a),flip(a)]. 12819 L(T(x,a(y,z,u) \ 1),u \ L(u,z,y),x) = T(x,x * (u \ L(u,z,y))). [para(12818(a,2),673(a,1,1))]. 12821 L(T(x,a(y,z,u) \ 1),u \ L(u,z,y),x) = x * a(y,z,K(u,x)). [hyper(228,a,12796,a(flip),b,12819,a)]. 12822 K(((x * ((y \ 1) \ (y \ z))) / x) * (y \ 1),u) = K(y \ (1 * ((x * z) / x)),T(u,y)). [para(51(a,1),12379(a,2,1,2,2,1,2))]. 12823 K(((x * ((y \ 1) \ (y \ z))) / x) * (y \ 1),u) = K(y \ ((x * z) / x),T(u,y)). [para(11(a,1),12822(a,2,1,2))]. 12824 K(((x * ((y \ 1) \ (y \ z))) / x) * (y \ 1),u) != w | K(((x * z) / x) / y,u) = w. [para(12823(a,2),7964(a,1))]. 12825 K(x,y) * (K(z,y) * (K(y,z) * (K(y,x) * u))) = L(u,K(y,z) * K(y,x),K(z,y) * K(x,y)). [hyper(228,a,11248,a(flip),b,12554,a(flip)),flip(a)]. 12826 L(x,K(y,z) * K(y,u),K(z,y) * K(u,y)) = K(u,y) * (K(y,u) * x). [para(5042(a,1),12825(a,1,2)),flip(a)]. 12827 L(x,K(y,z) * K(y,u),K(z,y) * K(u,y)) = x. [hyper(228,a,5042,a(flip),b,12826,a)]. 12830 x \ T(x * (y \ R(y,z,u)),x) = T(y \ R(y,z,u),x). [para(14(a,1),12715(a,1,1,2,1)),flip(a)]. 12831 T(x \ R(x,y,z),u) \ (u \ (u * (x \ R(x,y,z)))) = a(K(u,x),y * x,z). [para(12830(a,1),12753(a,1,1))]. 12832 T(x \ R(x,y,z),u) \ (x \ R(x,y,z)) = a(K(u,x),y * x,z). [para(13(a,1),12831(a,1,2))]. 12833 a(K(x,y),z * y,u) = K(x,y \ R(y,z,u)). [hyper(4731,a,12832,a),flip(a)]. 12835 a(K(x,K(y,z)),u * y,w) = K(x,K(z,y \ R(y,u,w))). [para(12833(a,1),12090(a,2,2))]. 12836 K(x,K(y,z \ R(z,u,w))) = a(K(z,K(x,y)),u,w). [hyper(228,a,12576,a(flip),b,12835,a(flip))]. 12837 K(x,K(y,R(z,u,w) * (z \ y))) = a(K(z,K(x,y)),u,w). [hyper(228,a,9226,a,b,12836,a(flip)),flip(a)]. 12838 K(x,K(y,R(z,u,w) * (z \ y))) = a(K(x,K(y,z)),u,w). [para(7728(a,2),12837(a,2,1))]. 12839 K(x,K(y,R(z,u,w) \ z)) = a(K(x,K(y,z)),u,w). [hyper(9386,a,12838,a)]. 12840 K(x,K(y,(z * u) / (R(z,w,v5) * u))) = a(K(x,K(R(y,z,u),z)),w,v5). [hyper(228,a,9903,a(flip),b,12839,a(flip)),flip(a)]. 12841 K(x,K(y,(z * u) / (R(z,w,v5) * u))) = a(K(x,K(z,R(y,z,u))),w,v5). [para(7741(a,1),12840(a,2,1))]. 12843 K(x,K(y,(z * u) / (R(z,w,v5) * u))) = a(K(x,K(z,y)),w,v5). [para(8992(a,1),12841(a,2,1))]. 12844 K(x,K(R(y,z,u) \ y,R(w,y,v5))) = a(K(x,K(y,w)),z,u). [hyper(9929,a,12843,a)]. 12847 K(x,K(a(y,z,u),T(w,y * (z * u)))) = a(K(x,K(y,w)),z,u). [hyper(228,a,10503,a(flip),b,12844,a(flip)),flip(a)]. 12849 a(x,((y * z) * u) \ (y * (z * (u * K(w,w \ 1)))),x) = a(x,K(w,w \ 1) / a(y,z,u),x). [hyper(11296,a,12497,a)]. 12850 a(x,y \ ((z * u) \ (z * (u * (y * K(w,w \ 1))))),x) = a(x,K(w,w \ 1) / a(z,u,y),x). [hyper(228,a,12725,a(flip),b,12849,a(flip)),flip(a)]. 12851 a(x,y \ L(y * K(z,z \ 1),u,w),x) = a(x,K(z,z \ 1) / a(w,u,y),x). [para(28(a,2),12850(a,1,2,2))]. 12852 a(x,(y \ L(y,z,u)) * K(w,w \ 1),x) = a(x,K(w,w \ 1) / a(u,z,y),x). [para(4589(a,1),12851(a,1,2))]. 12853 a(x,y \ L(y,z,u),x) = a(x,K(w,w \ 1) / a(u,z,y),x). [hyper(10889,a,12852,a)]. 12854 a(x,a(y,z,u) \ K(w,w \ 1),x) = a(x,u \ L(u,z,y),x). [hyper(228,a,12488,a(flip),b,12853,a),flip(a)]. 12855 a(x,a(y,z,u) \ 1,x) = a(x,u \ L(u,z,y),x). [para(147(a,1),12854(a,1,2,2))]. 12856 (((a(x,y,z) \ 1) * u) * a(u,z \ L(z,y,x),u)) \ ((u * (a(x,y,z) \ 1)) * u) = R(T(u,u * (a(x,y,z) \ 1)),(a(x,y,z) \ 1) * u,a(u,a(x,y,z) \ 1,u)). [para(12855(a,1),10106(a,1,1,2))]. 12857 K(x,(y * (z * a(u,w,u))) \ v5) = (y * (z * T(z \ (y \ v5),x))) \ v5. [para(14(a,1),12645(a,1,1,2,2,1)),flip(a)]. 12858 K(x,(y * (z * a(u,w,u))) \ v5) = K(x,(y * z) \ v5). [hyper(228,a,5467,a(flip),b,12857,a)]. 12860 K(x,(y * K(z * u,u)) \ w) = K(x,(y * K(z,u)) \ w). [para(8911(a,1),12858(a,1,2,1,2))]. 12861 K(x,(L(y,z,y) * u) \ w) = K(x,(y * u) \ w). [para(9023(a,1),12858(a,1,2,1)),flip(a)]. 12862 T(1 / x,x \ y) * L(T(1 / x,x \ y) \ 1,z,u) = T((1 / x) * L((1 / x) \ 1,z,u),(x \ 1) * y). [para(12386(a,1),12387(a,1,2,1,1))]. 12863 T((1 / x) * L((1 / x) \ 1,y,z),(x \ 1) * u) = T((1 / x) * L((1 / x) \ 1,y,z),x \ u). [hyper(2044,a,12862,a),flip(a)]. 12864 T((1 / x) * L((1 / x) \ 1,y,z),(x \ 1) * u) = T((1 / x) * L(x,y,z),x \ u). [para(64(a,1),12863(a,2,1,2,1))]. 12865 T((1 / x) * L((1 / x) \ 1,y,z),(x \ 1) * u) = T(x \ L(x,y,z),x \ u). [para(4602(a,1),12864(a,2,1))]. 12866 T((1 / x) * L(x,y,z),(x \ 1) * u) = T(x \ L(x,y,z),x \ u). [para(64(a,1),12865(a,1,1,2,1))]. 12867 T(x \ L(x,y,z),(x \ 1) * u) = T(x \ L(x,y,z),x \ u). [para(4602(a,1),12866(a,1,1))]. 12868 T(x \ L(x,y,z),x \ u) = T((1 / x) * L((1 / x) \ 1,y,z),u). [hyper(228,a,12273,a(flip),b,12867,a(flip))]. 12869 T(x \ L(x,y,z),x \ u) = T((1 / x) * L(x,y,z),u). [para(64(a,1),12868(a,2,1,2,1))]. 12870 T(x \ L(x,y,z),x \ u) = T(x \ L(x,y,z),u). [para(4602(a,1),12869(a,2,1))]. 12871 T(x \ L(x,y,z),x * u) = T(x \ L(x,y,z),u). [para(13(a,1),12870(a,1,2)),flip(a)]. 12872 (x \ L(x,y,z)) \ T(x \ L(x,y,z),u) = K(x \ L(x,y,z),x * u). [hyper(71,a,12871,a(flip),b,4705,a(flip))]. 12873 K(x \ L(x,y,z),x * u) = K(x \ L(x,y,z),u). [hyper(4773,a,12872,a),flip(a)]. 12874 K(x * y,x \ L(x,z,u)) = K(x \ L(x,z,u),y) \ 1. [para(12873(a,1),4879(a,1,1)),flip(a)]. 12875 K(x * y,x \ L(x,z,u)) = K(y,x \ L(x,z,u)). [hyper(228,a,4879,a(flip),b,12874,a)]. 12876 K(x,K(y * z,z \ L(z,u,w))) = K(x,K(y,z \ L(z,u,w))). [para(12875(a,1),11284(a,2,2))]. 12877 K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))) = K(x,K(y * z,u \ L(u,z,y))). [hyper(228,a,11686,a,b,12876,a(flip)),flip(a)]. 12878 K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))) = K(x,K(y * z,a(y,z,u))). [hyper(228,a,11818,a(flip),b,12877,a)]. 12879 K(x,K(a(y,z,u),y * (z * u))) = K(x,K(y * z,a(y,z,u))). [hyper(7956,a,12878,a)]. 12880 K(x,K(y * z,a(y,z,u))) != w | K(x,K(a(y,z,u),y * (z * u))) = w. [para(12878(a,1),7956(a,1))]. 12881 K(x,K(a(y,z,u),(y * z) * u)) = K(x,K(y * z,a(y,z,u))). [hyper(228,a,7780,a,b,12879,a(flip)),flip(a)]. 12882 K(a(x,y,z),T((((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u),x * (y * z))) = K(u,K(x * y,a(x,y,z))). [hyper(228,a,12303,a,b,12881,a(flip)),flip(a)]. 12883 K(x,K(a(y,z,u),T((y * z) * u,y * (z * u)))) = K(x,K(y * z,a(y,z,u))). [hyper(9147,a,12882,a)]. 12884 a(K(x,K(y,(y * z) * u)),z,u) = K(x,K(y * z,a(y,z,u))). [hyper(228,a,12847,a(flip),b,12883,a(flip)),flip(a)]. 12885 K(x,K(y * z,a(y,z,u))) = a(K(y,K(x,z * u)),z,u). [para(9113(a,1),12884(a,1,1)),flip(a)]. 12886 K(x,K(y * z,a(y,z,u))) = 1. [hyper(228,a,9551,a(flip),b,12885,a)]. 12887 K(x,K(a(y,z,u),y * (z * u))) = 1. [hyper(12880,a,12886,a)]. 12890 K(x,((y * z) * u) / (y * (z * u))) = K(x,a(y,z,u)) * 1. [para(12887(a,1),9654(a,1,2)),flip(a)]. 12891 K(x,((y * z) * u) / (y * (z * u))) = K(x,a(y,z,u)). [hyper(228,a,12,a(flip),b,12890,a)]. 12893 R(K(x,y \ R(y,z,u)),R(y,z,u),z * u) = K(x,a(y,z,u)). [hyper(228,a,9186,a,b,12891,a(flip)),flip(a)]. 12894 R(a(K(x,y),z * y,u),R(y,z,u),z * u) = K(x,a(y,z,u)). [para(12833(a,2),12893(a,1,1))]. 12895 a(K(x,R(y,R(y,z,u),z * u)),z * y,u) = K(x,a(y,z,u)). [hyper(228,a,12759,a,b,12894,a(flip)),flip(a)]. 12896 a(K(x,y),z * y,u) = K(x,a(y,z,u)). [hyper(228,a,12761,a(flip),b,12895,a(flip)),flip(a)]. 12898 L(T(x,R(y / T((1 / x) \ 1,z),u,w)),y / T(1 / (1 / x),z),x) = T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)). [para(11738(a,1),12710(a,1,1))]. 12899 L(T(x,R(y / T(x,z),u,w)),y / T(1 / (1 / x),z),x) = T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)). [para(64(a,1),12898(a,1,1,2,1,2,1))]. 12900 L(T(x,R(x \ y,z,u)),y / T(1 / (1 / x),w),x) = T(x,R(((x \ 1) \ 1) * (y / T(x,w)),z,u)). [para(10813(a,1),12899(a,1,1))]. 12901 L(T(x,R(x \ y,z,u)),y / T((1 / x) \ 1,w),x) = T(x,R(((x \ 1) \ 1) * (y / T(x,w)),z,u)). [hyper(228,a,10390,a(flip),b,12900,a(flip)),flip(a)]. 12903 T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)) = L(T(x,R(x \ y,u,w)),y / T(x,z),x). [para(64(a,1),12901(a,1,2,2,1)),flip(a)]. 12904 T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)) = L(T(x,R(x \ y,u,w)),x \ y,x). [hyper(228,a,10408,a(flip),b,12903,a)]. 12906 T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)) = T(x,R(x * (x \ y),u,w)). [hyper(228,a,12707,a(flip),b,12904,a)]. 12907 T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)) = T(x,R(y,u,w)). [para(14(a,1),12906(a,2,2,1))]. 12908 T(x,R(x * (y / T(1 / (1 / x),z)),u,w)) = T(x,R(y,u,w)). [para(3294(a,1),12907(a,1,2,1))]. 12909 K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K(x \ ((K(y,x) / T(x,z)) \ 1),(K(y,x) / T(x,z)) * x). [hyper(228,a,6833,a(flip),b,12587,a)]. 12910 K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K(x \ (K(x,z) * T(x,y)),(K(y,x) / T(x,z)) * x). [para(5457(a,1),12909(a,2,1,2))]. 12911 K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K(T(K(x,z),x) * K(x,y),(K(y,x) / T(x,z)) * x). [para(7579(a,1),12910(a,2,1))]. 12912 K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K(K(x,z) * K(x,y),(K(y,x) / T(x,z)) * x). [para(3150(a,1),12911(a,2,1,1))]. 12913 K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K(K(x,z) * K(x,y),K(y,x) * K(z,x)). [para(5257(a,1),12912(a,2,2))]. 12914 K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = 1. [hyper(228,a,6886,a(flip),b,12913,a)]. 12916 K((x \ K(x,y)) * T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = 1. [para(11556(a,1),12914(a,1,1))]. 12917 1 / (((x \ K(x,y)) \ 1) \ T(x,z)) = ((x \ K(x,y)) * T(x,z)) \ 1. [para(12916(a,1),12276(a,1,2)),flip(a)]. 12918 1 / (((x \ K(x,y)) \ 1) \ T(x,z)) = x * (K(y,x) / T(x,z)). [hyper(228,a,12586,a(flip),b,12917,a)]. 12920 1 / (((x \ 1) \ K(y,x)) \ T(x,z)) = x * (K(y,x) / T(x,z)). [para(5127(a,1),12918(a,1,2,1))]. 12921 1 / ((x \ K(x,y)) * T(x,z)) = x * (K(y,x) / T(x,z)). [para(11556(a,1),12920(a,1,2))]. 12922 (x * (K(y,x) / T(x,z))) \ 1 = (x \ K(x,y)) * T(x,z). [para(12921(a,1),64(a,1,1))]. 12923 (((x \ K(x,y)) * T(x,z)) \ 1) \ L(u,(x * (K(y,x) / T(x,z))) \ 1,x * (K(y,x) / T(x,z))) = ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u. [para(12922(a,1),11588(a,1,1,1))]. 12924 K(x / y,z) * T(z,T(z * ((x / y) * ((x / y) \ ((y / x) \ 1))),x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). [para(5619(a,1),12398(a,1,1))]. 12925 K(x / y,z) * T(z,T(z * ((y / x) \ 1),x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). [para(14(a,1),12924(a,1,2,2,1,2))]. 12927 K(x / y,z) * T(z,T((y / x) \ z,x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). [para(8832(a,1),12925(a,1,2))]. 12928 K(x / y,z) * T(z,T(z * (x / y),x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). [para(12688(a,1),12927(a,1,2))]. 12929 L(x,(y / z) * ((y / z) \ ((z / y) \ 1)),x) = K(y / z,x) * T(x,x * (y / z)). [para(7565(a,1),12928(a,1,2)),flip(a)]. 12930 L(x,(y / z) * ((y / z) \ ((z / y) \ 1)),x) = L(x,y / z,x). [hyper(228,a,4980,a(flip),b,12929,a)]. 12931 L(x,y / z,x) = L(x,z \ y,x). [hyper(228,a,10745,a(flip),b,12930,a(flip))]. 12934 L(x,(y \ z) \ z,x) = L(x,y,x). [para(61(a,1),12931(a,1,2)),flip(a)]. 12935 L(x,R(y \ R(y,z,u),y,z * u),x) = L(x,(y * (z * u)) \ ((y * z) * u),x). [para(3520(a,2),12931(a,1,2))]. 12936 L(x,R(y * K(z,y),z,u),x) = L(x,(z * u) \ ((z * y) * u),x). [para(4833(a,2),12931(a,1,2))]. 12938 L(x,y * K(z,y),x) = L(x,y,x). [para(6057(a,1),12934(a,1,2)),flip(a)]. 12939 L(x,R(y * K(z,y),u,w),x) = L(x,R(y,u,w),x). [para(5822(a,1),12938(a,1,2))]. 12940 L(x,(y * z) \ ((y * u) * z),x) = L(x,R(u,y,z),x). [hyper(228,a,12939,a(flip),b,12936,a(flip))]. 12942 L(x,R(y,z,u),x) = L(x,z \ (z * y),x). [hyper(228,a,12619,a(flip),b,12940,a(flip))]. 12944 L(x,R(y,z,u),x) = L(x,y,x). [para(13(a,1),12942(a,2,2))]. 12945 L(x,R(y \ R(y,z,u),y,z * u),x) = L(x,a(y,z,u),x). [para(24(a,2),12935(a,2,2))]. 12946 L(x,y \ R(y,z,u),x) = L(x,a(y,z,u),x). [hyper(228,a,12944,a(flip),b,12945,a(flip)),flip(a)]. 12948 (x * K(y \ R(y,z,u),x)) \ L(x,a(y,z,u),x) = a(K(x,y),z * y,u). [para(12946(a,1),12752(a,1,2))]. 12949 K(x,y \ R(y,z,u)) * (x \ L(x,a(y,z,u),x)) = a(K(x,y),z * y,u). [hyper(5672,a,12948,a)]. 12950 a(K(x,y),z * y,u) * (x \ L(x,a(y,z,u),x)) = a(K(x,y),z * y,u). [para(12833(a,2),12949(a,1,1))]. 12951 a(x,a(y,z,u),x) \ a(K(x,y),z * y,u) = a(K(x,y),z * y,u). [hyper(9812,a,12950,a)]. 12952 a(x,a(y,z,u),x) = 1. [hyper(70,a,12951,a,b,9763,a),flip(a)]. 12953 a(x,a(y,z,u),x) \ K(x,a(y,z,u)) = a(K(x,y),z * y,u). [para(12896(a,1),12951(a,1,2))]. 12954 L(x,a(y,z,u),x) = x. [hyper(33,a,12952,a)]. 12956 (x * a(y,z,u)) * x = x * (a(y,z,u) * x). [para(12954(a,1),100(a,1,2))]. 12957 T(x,x * a(y,z,u)) = T(x,a(y,z,u)). [para(12954(a,1),676(a,1,1)),flip(a)]. 12958 T(x * K(a(y,z,u),x),(x * K(a(y,z,u),x)) * a(y,z,u)) = x. [hyper(228,a,4674,a(flip),b,12957,a)]. 12959 T(x,x / a(y,z,u)) = a(y,z,u) * (x / a(y,z,u)). [hyper(369,a,12956,a)]. 12960 T(x,a(y,z,u) \ x) = a(y,z,u) * (x / a(y,z,u)). [hyper(7951,a,12959,a)]. 12961 a(x,y,z) * K(u,a(x,y,z) \ u) = T(a(x,y,z),u / a(x,y,z)). [hyper(171,a,12960,a(flip),b,6261,a),flip(a)]. 12963 K(x,x * a(y,z,u)) = a(K(x,y),z * y,u). [hyper(8895,a,12953,a)]. 12964 K(x,x * a(y,z,u)) = K(x,a(y,z,u)). [hyper(228,a,12896,a(flip),b,12963,a)]. 12965 K(x,x * a(y,z,u)) = a(K(x,y),z,u). [hyper(228,a,12574,a(flip),b,12963,a)]. 12966 a(x,y,K(z,u)) = K(z,a(x,y,u)). [hyper(228,a,12808,a(flip),b,12964,a(flip)),flip(a)]. 12967 a(x,y,K(z,u)) \ w = K(a(x,y,u),z) * w. [para(12966(a,2),5035(a,1,1))]. 12968 (x * y) * a(z,u,K(y,w)) = x * T(y,a(z,u,w)). [para(12966(a,2),5199(a,1,2))]. 12970 a(K(x,y),z,u) = a(y,z,K(x,u)). [hyper(228,a,12808,a(flip),b,12965,a(flip))]. 12971 (T(x,x \ y) * a(z,u,K(w,v5))) \ ((x \ y) \ y) = a(K(z,w),u,v5). [para(12970(a,1),12067(a,1,1,2))]. 12972 a(x,y,K(z,u)) = K(a(x,y,z),u). [hyper(9968,a,12967,a)]. 12973 a(x,y,z) * a(x,y,K(z,u)) = T(a(x,y,z),u). [para(12972(a,2),4705(a,2,2)),flip(a)]. 12974 a(x,y,K(z,u)) * a(x,y,z) = T(a(x,y,z),u). [para(12972(a,2),4712(a,2,1)),flip(a)]. 12976 a(x,y,K(z,u)) * a(x,y,z) != w | T(a(x,y,z),u) = w. [para(12972(a,2),4713(a,1,1))]. 12977 a(x,y,K(z,a(x,y,z) \ 1)) / (((x * y) * z) \ (x * (y * z))) = (((x * y) * z) \ (x * (y * z))) \ 1. [para(12972(a,2),12021(a,1,1))]. 12978 a(x,y,z) * a(x,y,z * (K(u,z) / z)) = T(a(x,y,z),z \ (u \ 1)). [para(6858(a,1),12973(a,1,2,3))]. 12979 K(a(x,y,z),u) * T(a(x,y,z) * K(u,a(x,y,z)),w) = a(x,y,K(z,T(w,u))) * a(x,y,z). [hyper(228,a,8484,a,b,12974,a),flip(a)]. 12980 a(x,y,z * (K(u,z) / z)) * a(x,y,z) = T(a(x,y,z),z \ (u \ 1)). [para(6858(a,1),12974(a,1,1,3))]. 12981 a(x,y,K(z,z \ (u \ w))) * a(x,y,z) = T(a(x,y,z),(u * z) \ w). [para(10597(a,1),12974(a,1,1,3))]. 12982 a(x,y,K(z,z \ (u / w))) * a(x,y,z) = T(a(x,y,z),u / (w * z)). [para(10948(a,1),12974(a,1,1,3))]. 12983 T(x * a(y,z,K(u,x)),(x * K(a(y,z,u),x)) * a(y,z,u)) = x. [para(12972(a,2),12958(a,1,1,2))]. 12984 T(x * a(y,z,K(u,x)),a(y,z,u) * x) = x. [para(4715(a,1),12983(a,1,2))]. 12985 (x * y) / T(x * a(z,u,K(w,x)),y) = K(x * a(z,u,K(w,x)),a(z,u,w) * x) * y. [para(12984(a,1),7518(a,1,1,1))]. 12986 a(x,y,z) * K(u,a(x,y,z) \ u) = T(a(x,y,z),a(x,y,z) \ u). [hyper(228,a,3944,a(flip),b,12961,a)]. 12987 a(K(x,y),z,u) = a(x,z,K(u,y)). [hyper(9709,a,12971,a),flip(a)]. 12988 a(K(x,y),z,u) != w | a(x,z,K(u,y)) = w. [para(12971(a,1),9709(a,1))]. 12989 K(x,x * a(y,z,u)) = a(x,z,K(u,y)). [hyper(228,a,12965,a,b,12987,a(flip)),flip(a)]. 12990 a(x,y,K(z,u)) = a(u,y,K(x,z)). [hyper(228,a,12970,a(flip),b,12987,a(flip))]. 12991 (K(x,y) * (z * u)) * a(x,z,K(u,y)) = (K(x,y) * z) * u. [para(12987(a,1),89(a,1,2))]. 12992 a(K(x,T(y,z)),u,w) = a(T(x,z),u,K(w,y)). [para(7202(a,1),12987(a,1,1))]. 12993 (x * K(y,z)) * a(y,u,K(u \ x,T(z,x))) = (K(y,T(z,x)) * u) * (u \ x). [para(12987(a,1),7886(a,1,2))]. 12994 K(x,(a(y,z,K(u,w)) \ ((z * u) \ K(w,y))) * v5) = K(x,(u \ (z \ K(w,y))) * v5). [para(12987(a,1),10099(a,1,2,1,1))]. 12995 a(K(x,x \ (y \ z)),u,w) = a(x,u,K(w,(y * x) \ z)). [para(10597(a,1),12987(a,1,1))]. 12996 a(x,y,K(z,(u \ w) \ (x \ 1))) = a(K(x,x \ (w \ u)),y,z). [para(10609(a,1),12987(a,1,1)),flip(a)]. 12997 a(K(x,x \ (y / z)),u,w) = a(x,u,K(w,y / (z * x))). [para(10948(a,1),12987(a,1,1))]. 12998 a(K(x,x \ (y / z)),u,w) = a(x,u,K(w,(x \ y) / z)). [para(10961(a,1),12987(a,1,1))]. 12999 T(x,x * y) * a(x,z,K(u,y)) = T(x,R(x * y,z,u)). [para(12987(a,1),12708(a,1,2))]. 13000 a(x,y * z,K(u,z)) = a(z,y,K(x,u)). [hyper(11440,a,12990,a)]. 13001 K(x,y) * K(y,L(x,z,u)) = a(y,z,K(u,x)). [hyper(11432,a,12990,a)]. 13002 K(x,L(y,z,u)) * K(y,x) = a(x,z,K(u,y)). [hyper(11429,a,12990,a)]. 13003 a(K(x,y),z,u) = a(u,z,K(y,x)). [hyper(228,a,12987,a,b,12990,a),flip(a)]. 13004 a(x,y,K(z \ (u \ 1),w)) = a(w,y,K(u * z,x)). [hyper(228,a,11504,a,b,12990,a),flip(a)]. 13005 a(x,y * z,K(z,u)) = a(z,y,K(u,x)). [hyper(228,a,11428,a,b,12990,a),flip(a)]. 13006 x / (a(y,z,K(u,w)) * x) = a(w,z,K(u,y)). [hyper(228,a,9966,a,b,12990,a),flip(a)]. 13007 L(K(x,y),z,u) * K(y,x) = a(y,z,K(x,u)). [hyper(228,a,9682,a,b,12990,a),flip(a)]. 13008 a(x,y,K(z,u)) = K(x,a(u,y,z)). [hyper(228,a,12966,a(flip),b,12990,a)]. 13009 a(x \ 1,y,K(z,u)) = a(u,y,K(z,x)). [hyper(228,a,11503,a(flip),b,12990,a)]. 13010 a(x,y,K(z,u)) * w = a(u,y,K(x,z)) * w. [hyper(22,a,12990,a)]. 13011 x * a(y,z,K(u,w)) = x * a(w,z,K(y,u)). [hyper(21,a,12990,a)]. 13012 a(x,y,K(z,u \ 1)) = a(z,y,K(x,u)). [hyper(228,a,11503,a(flip),b,12990,a(flip))]. 13013 a(x \ y,z,K(u,x)) = a(u,z,K(x,y)). [hyper(228,a,11500,a(flip),b,12990,a(flip))]. 13014 a(x,y,K(z,K(u,w))) = a(u,y,K(x,K(w,z))). [hyper(228,a,10856,a(flip),b,12990,a(flip)),flip(a)]. 13015 a(x,y,K((x * z) \ u,w)) = a(w,y,K(x,z \ (x \ u))). [para(7015(a,1),12990(a,2,3))]. 13016 a(x,y,K(z,K(u,w))) = a(u,y,K(x,K(z,w))). [para(7739(a,1),12990(a,1,3))]. 13017 a(x,y,K(z,K(u,w))) = a(z,y,K(x,K(u,w))). [para(7740(a,1),12990(a,1,3))]. 13018 K(x,y) * a(y,z,K(x,u)) = L(K(x,y),z,u). [para(12990(a,2),9681(a,1,2))]. 13019 x / a(y,z,K(u,w)) = x * a(w,z,K(u,y)). [para(12990(a,2),9704(a,1,2))]. 13020 x / a(y,z,K(u,w)) != v5 | x * a(w,z,K(u,y)) = v5. [para(12990(a,2),9708(a,1,2))]. 13021 K(x,y) * (L(K(y,x),z,u) * w) = a(y,z,K(u,x)) * w. [para(12990(a,1),9959(a,2,1))]. 13022 K(x,y) * (a(x,z,K(u,y)) * w) = L(K(x,y),z,u) * w. [para(12990(a,1),9960(a,1,2,1))]. 13023 a(x,y,K(z,u)) \ w = a(u,y,K(z,x)) * w. [para(12990(a,2),9965(a,1,1))]. 13024 x / (a(y,z,K(u,w)) * x) != v5 | a(w,z,K(u,y)) = v5. [para(12990(a,2),9969(a,1,2,1))]. 13025 a(T(x / y,x) * z,u,K(w,v5)) = a(w,u,K(v5,(y \ x) * z)). [para(12510(a,1),12990(a,1,3)),flip(a)]. 13026 a(x,y,z) * a(u,y,K(x,z)) = T(a(x,y,z),u). [para(12990(a,1),12973(a,1,2))]. 13027 L(K(x,y),z,u) \ K(x,y) = a(K(y,x),z,u). [hyper(228,a,9683,a,b,13003,a),flip(a)]. 13028 a(K(x,y),z,u) = K(a(u,z,y),x). [hyper(228,a,12972,a(flip),b,13003,a)]. 13029 x * a(K(y,z),u,w) = x * a(w,u,K(z,y)). [hyper(21,a,13003,a)]. 13030 x * a(x,y,K(z,u)) != w | T(x,a(u,y,z)) = w. [para(13008(a,2),4708(a,1,2))]. 13031 a(x,y,K(z,K(u,w))) = K(z,K(x,a(w,y,u))). [para(13008(a,1),12966(a,2,2))]. 13032 a(x,y * x,K(z,u)) = a(x,y,K(z,u)). [hyper(228,a,12990,a(flip),b,13000,a(flip)),flip(a)]. 13033 a(x,y,K(z,u)) != w | a(z,y,K(u,x)) = w. [para(13000(a,1),11446(a,1))]. 13034 a(x \ 1,y,K(z,u)) = a(x,y,K(u,z)). [hyper(228,a,12990,a(flip),b,13009,a)]. 13035 a(x \ (y \ 1),z,K(u,x)) = a(x,z,K(u,y)). [hyper(228,a,13012,a(flip),b,13013,a)]. 13036 a(((x \ (y \ x)) \ 1) \ 1,((y \ 1) \ 1) \ x,K(z,u)) = a(((x \ (y \ x)) \ 1) \ 1,x,K(z,u)). [para(3074(a,1),13032(a,1,2))]. 13037 a(1 / (x * T(y,z)),T(y,z),K(u,w)) = a(1 / (x * T(y,z)),y * (1 / (x * y)),K(u,w)). [para(11073(a,1),13032(a,1,2)),flip(a)]. 13038 K(x,x * a(y,z,u)) != w | a(x,z,K(u,y)) = w. [para(12965(a,2),12988(a,1))]. 13039 a(x,y,K(z,u)) != w | a(u,y,K(x,z)) = w. [para(13003(a,1),12988(a,1))]. 13041 a(x,y,K(z \ (u \ 1),w)) != v5 | a(w,y,K(u * z,x)) = v5. [para(11504(a,2),13033(a,1))]. 13043 a(K(x,y),z,u) != w | a(u,z,K(y,x)) = w. [para(12987(a,2),13033(a,1))]. 13046 a(x \ 1,y,K(z,u)) != w | a(u,y,K(z,x)) = w. [para(13034(a,2),13033(a,1))]. 13047 a(x,y,K(z,K(u,w))) != v5 | a(u,y,K(x,K(w,z))) = v5. [para(7724(a,1),13039(a,1,3))]. 13048 a(x,y,K(z,K(u,w))) != v5 | a(z,y,K(x,K(u,w))) = v5. [para(7740(a,1),13039(a,1,3))]. 13051 a(x \ 1,y,K(z,u)) != w | a(x,y,K(u,z)) = w. [para(13009(a,2),13039(a,1))]. 13052 K(a(x,y,z),u) != w | a(x,y,K(z,u)) = w. [para(13028(a,1),13043(a,1))]. 13053 a(T(x,y),z,K(u,w)) = a(x,z,K(u,T(w,y))). [hyper(12988,a,12992,a),flip(a)]. 13054 1 / (x * (a(y,z,K(u,w)) * 1)) = a(w,z,K(u,y)) / x. [hyper(72,a,13006,a(flip),b,321,a),flip(a)]. 13055 x / (a(y,z,K(u,w \ v5)) * x) = a((w \ 1) * v5,z,K(u,y)). [para(5543(a,1),13006(a,1,2,1,3))]. 13056 x / (a(y,z,K(u,w \ v5)) * x) = a((1 / w) * v5,z,K(u,y)). [para(5551(a,1),13006(a,1,2,1,3))]. 13057 x / (a(y,z,K(u,(w / v5) * v6)) * x) = a((v5 * (w \ 1)) \ v6,z,K(u,y)). [para(5552(a,1),13006(a,1,2,1,3))]. 13058 x / (a(y,z,u * (K(w,u) / u)) * x) = a(u \ (w \ 1),z,K(u,y)). [para(6858(a,1),13006(a,1,2,1,3))]. 13059 a(x,y,K(z,u)) * K(z,x) = L(K(z,x),y,u). [hyper(5064,a,13007,a)]. 13060 a(x,y,K(z,u)) * w != v5 * w | a(u,y,K(x,z)) = v5. [para(13010(a,2),20(a,1))]. 13061 a(x,y,K(z,K(u,w))) = a(u,y,K(z,K(x,w))). [para(7728(a,1),13014(a,2,3))]. 13062 K(x,y) * a(y,z,K(x,u)) = K(x,L(y,y \ z,u)). [hyper(228,a,8951,a,b,13018,a)]. 13063 K(x,y) * a(y,z,K(x,u)) = K(x,L(y,z,u)). [hyper(228,a,11389,a(flip),b,13018,a)]. 13064 K(x,y) * a(x,z,K(y,K(u,w))) = L(K(x,y),z,K(u,w)). [para(13017(a,1),13018(a,1,2))]. 13065 x * a(y,z,K(u,w)) != v5 | x * a(w,z,K(y,u)) = v5. [para(13019(a,1),9708(a,1))]. 13066 K(x,(a(y,z,K(u,w)) * (v5 \ 1)) * v6) = K(x,(v5 * a(w,z,K(u,y))) \ v6). [para(13023(a,1),5545(a,1,2,1))]. 13067 x \ (y * (a(z,u,K(w,v5)) * T(a(v5,u,K(w,z)) * (y \ x),v6))) = K((x \ (y * a(z,u,K(w,v5)))) \ 1,v6). [para(13023(a,1),5838(a,1,2,2,2,1))]. 13069 a(x,y,K(z,K(u,w))) = K(u,K(x,a(w,y,z))). [para(7723(a,1),13031(a,1,3))]. 13070 a(x,y,K(z,u)) * K(x,u) = L(K(x,u),y,z). [hyper(228,a,13010,a,b,13059,a(flip)),flip(a)]. 13071 K(x,K(y,L(z,u,w))) * K(x,K(z,y)) = a(z,u,K(x,K(w,y))). [hyper(11453,a,13061,a)]. 13073 K(x,y) * a(x,z,K(y,K(u,w))) = K(x,L(y,z,K(u,w))). [para(13017(a,1),13063(a,1,2))]. 13074 a(x,y,K(z,K(u,w))) = K(x,K(z,a(u,y,w))). [hyper(228,a,13014,a(flip),b,13069,a(flip)),flip(a)]. 13075 a(x,y,K(z,K(u,w))) * K(x,K(u,w)) = K(u,K(w,L(x,y,z))). [hyper(228,a,8504,a(flip),b,13070,a)]. 13076 L(K(x,y),z,u) != w * K(x,y) | a(x,z,K(u,y)) = w. [para(13070(a,1),20(a,1))]. 13077 a(x,y,K(z,K(u,w))) * K(x,K(u,w)) != v5 | K(u,K(w,L(x,y,z))) = v5. [para(13070(a,2),8686(a,1))]. 13078 a(x,y,z) * a(z,y,K(x,u)) = T(a(x,y,z),z \ (u \ 1)). [para(13035(a,1),13026(a,1,2))]. 13080 a(x,y,K(z \ 1,u)) != w | a(x,y,K(u,z)) = w. [para(12990(a,1),13046(a,1))]. 13083 a(x,x \ y,K(z,u)) = a(x,y,K(z,u)). [hyper(17,a,13063,a,b,13062,a),flip(a)]. 13084 a(x,y \ z,K(u,y)) = a(y,z,K(x,u)). [hyper(13033,a,13083,a)]. 13085 a(T(x,y),y \ (x \ 1),K(z,u)) = a(T(x,y),y \ 1,K(z,u)). [para(429(a,1),13083(a,1,2))]. 13086 a(T(x / (1 / y),z),(1 / T(x * y,z)) * x,K(u,w)) = a(T(x / (1 / y),z),x,K(u,w)). [para(2418(a,1),13083(a,1,2))]. 13087 x * a(y,z,K(u,w)) != v5 | x * a(u,z,K(w,y)) = v5. [para(9704(a,1),13020(a,1))]. 13088 a(x,y,K(z,K(u,w))) != v5 | a(u,y,K(z,K(w,x))) = v5. [para(13017(a,1),13047(a,1))]. 13090 a(x,y,K(z,K(u,w))) != v5 | a(u,y,K(z,K(x,w))) = v5. [para(13016(a,1),13048(a,1))]. 13092 a(x,y,K(z,(u * x) \ w)) = a(x,y,K(z,x \ (u \ w))). [hyper(12988,a,12995,a),flip(a)]. 13093 a(x,y,K(z,(u * x) \ w)) != v5 | a(x,y,K(z,x \ (u \ w))) = v5. [para(12995(a,1),12988(a,1))]. 13094 a(x,y,K(z,u / (w * x))) != v5 | a(x,y,K(z,x \ (u / w))) = v5. [para(12997(a,1),12988(a,1))]. 13095 a(x,y,K(z,(x \ u) / w)) != v5 | a(x,y,K(z,x \ (u / w))) = v5. [para(12998(a,1),12988(a,1))]. 13096 a(x,y,K(z,u)) * w != v5 | a(z,y,K(u,x)) * w = v5. [para(13021(a,1),9963(a,1))]. 13097 a(x,y,K(z,u)) * w != v5 | a(u,y,K(x,z)) * w = v5. [para(12990(a,1),13096(a,1,1))]. 13098 1 / (x * a(y,z,K(u,w))) = a(w,z,K(u,y)) / x. [para(12(a,1),13054(a,1,2,2))]. 13100 K(x,y) * a(x,z,K(y,K(u,w))) = L(K(x,y),y * z,K(u,w)). [hyper(228,a,8950,a,b,13073,a)]. 13101 ((K(x,y) * z) * u) / a(x,z,K(u,y)) != w | K(x,y) * (z * u) = w. [para(12991(a,1),295(a,1,1)),flip(b)]. 13102 a(x,y,z) * a(u,y,K(z,x)) = T(a(x,y,z),z \ (u \ 1)). [hyper(13065,a,13078,a)]. 13104 a(x,y,K(z,(u \ w) \ (x \ 1))) != v5 | a(x,y,K(z,x \ (w \ u))) = v5. [para(12996(a,2),12988(a,1))]. 13105 a((x \ 1) * y,z,K(u,w)) = a(x \ y,z,K(u,w)). [hyper(13024,a,13055,a),flip(a)]. 13106 a((T(x,y) \ 1) * (y \ 1),z,K(u,w)) = a(y \ (x \ 1),z,K(u,w)). [para(429(a,1),13105(a,2,1))]. 13107 a((1 / x) * y,z,K(u,w)) = a(x \ y,z,K(u,w)). [hyper(13024,a,13056,a),flip(a)]. 13108 a((x \ 1) \ y,z,K(u,w)) = a(x * y,z,K(u,w)). [para(61(a,1),13107(a,1,1,1)),flip(a)]. 13109 K(x,K(y,L(z,u,w))) * K(x,K(y,z)) = a(z,u,K(x,K(w,y))). [para(7741(a,1),13071(a,1,2))]. 13110 K(x,K(y,z \ (u * ((u \ z) * w)))) = a(w,u \ z,K(u,K(x,y))) * K(w,K(x,y)). [para(101(a,2),13075(a,2,2,2)),flip(a)]. 13111 a(x,y,K(z,K(u,w))) * K(x,K(z,w)) = K(z,K(w,L(x,y,u))). [para(7723(a,1),13075(a,1,1,3))]. 13112 a(x,y,K(z,K(u,w))) * K(x,K(z,w)) = K(z,K(w,L(x,y,u \ 1))). [para(8079(a,1),13075(a,1,1,3))]. 13113 a(x,y * z,K(y,K(u,w))) = a(x,z,K(y,K(u,w))). [hyper(17,a,13064,a,b,13100,a),flip(a)]. 13114 a(x,y \ z,K(y,K(u,w))) = a(x,z,K(y,K(u,w))). [para(14(a,1),13113(a,1,2)),flip(a)]. 13115 a(x,y * z,K(u,K(w,y))) = a(x,z,K(y,K(u,w))). [para(7728(a,2),13113(a,1,3))]. 13116 a(x,y * z,K(u,K(w,y))) = a(x,z,K(u,K(w,y))). [para(7728(a,2),13115(a,2,3))]. 13117 K(K(x,L(y,z,u)) * K(y,x),w) = a(y,z,K(w,K(u,x))). [hyper(228,a,11633,a(flip),b,13109,a(flip)),flip(a)]. 13118 K(a(x,y * z,K(z,u)),w) = a(z,y,K(w,K(x,u))). [para(9694(a,1),13117(a,1,1))]. 13119 K(a(x,y * z,K(z,u)),w) = a(z,y,K(w,K(u,x))). [para(7741(a,1),13118(a,2,3))]. 13120 ((K(x,y) * z) * u) * a(x,z,K(y,u)) != w | K(x,y) * (z * u) = w. [para(9704(a,1),13101(a,1))]. 13121 K(x,K(y,L(z,u,w \ 1))) = K(x,K(y,L(z,u,w))). [hyper(228,a,13111,a(flip),b,13112,a(flip))]. 13122 K(x,K(y,L(z,u,1 / w))) = K(x,K(y,L(z,u,w))). [para(64(a,1),13121(a,1,2,2,3)),flip(a)]. 13123 a(x,y,z * (K(u,z) / z)) = a(z,y,K(x,u)). [hyper(17,a,13078,a,b,12978,a)]. 13124 a(x,y,z * (K(u,z) / z)) * w = a(x,y,K(u,z)) * w. [para(13123(a,2),13010(a,2,1)),flip(a)]. 13125 a(x,y,z * (K(u,z) / z)) * w != v5 | a(x,y,K(u,z)) * w = v5. [para(13123(a,2),13096(a,1,1))]. 13126 a(x,y,K(z,u)) * a(x,y,u) = T(a(x,y,u),u \ (z \ 1)). [hyper(13125,a,12980,a)]. 13127 T(a(x,y,z),(u * z) \ w) != v5 | T(a(x,y,z),z \ (u \ w)) = v5. [para(12981(a,1),12976(a,1))]. 13128 T(a(x,y,z),u / (w * z)) != v5 | T(a(x,y,z),z \ (u / w)) = v5. [para(12982(a,1),12976(a,1))]. 13129 a(x,y,K(z,K(u,w))) * K(x,K(z,w)) != v5 | K(z,K(w,L(x,y,u))) = v5. [para(7723(a,1),13077(a,1,1,3))]. 13130 (x * K(y,z)) * a(y,u,K(x / u,z)) = (K(y,T(z,x)) * u) * (u \ x). [para(7831(a,1),12993(a,1,2,3))]. 13131 K(x,K(y,z \ (u * ((u \ z) * w)))) = a(w,z,K(u,K(x,y))) * K(w,K(x,y)). [para(13114(a,1),13110(a,2,1))]. 13132 K(x,K(y,z \ (u * ((u \ z) * w)))) = K(x,K(y,L(w,z,u))). [hyper(228,a,13075,a(flip),b,13131,a)]. 13133 K(x,K(y,L(z,u \ w,u))) = K(x,K(y,L(z,w,u))). [para(101(a,1),13132(a,1,2,2))]. 13134 K(x,K(y,L(z,u / w,w))) = K(x,K(y,L(z,u,w))). [para(11009(a,2),13133(a,1,2,2))]. 13135 a((x * T(y,z)) \ 1,y * (1 / (x * y)),K(u,w)) = a(1 / (x * T(y,z)),T(y,z),K(u,w)). [hyper(228,a,3715,a(flip),b,13037,a),flip(a)]. 13136 a(T(x,y) \ (z \ 1),x * (1 / (z * x)),K(u,w)) = a(1 / (z * T(x,y)),T(x,y),K(u,w)). [para(118(a,1),13135(a,1,1))]. 13137 K(a(x,y,z),u) * T(a(x,y,z) * K(u,a(x,y,z)),w) != v5 * a(x,y,z) | a(x,y,K(z,T(w,u))) = v5. [para(12979(a,2),20(a,1))]. 13138 a(x \ (((y \ 1) \ 1) \ x),((y \ 1) \ 1) \ x,K(z,u)) = a(((x \ (y \ x)) \ 1) \ 1,x,K(z,u)). [para(3095(a,1),13036(a,1,1))]. 13139 a(x,y,1) / (((x * y) * z) \ (x * (y * z))) = (((x * y) * z) \ (x * (y * z))) \ 1. [para(12814(a,1),12977(a,1,1,3))]. 13140 1 / (((x * y) * z) \ (x * (y * z))) = (((x * y) * z) \ (x * (y * z))) \ 1. [para(338(a,1),13139(a,1,1))]. 13142 (((x * y) * z) \ (x * (y * z))) \ 1 = (1 / (x * (y * z))) * ((x * y) * z). [hyper(228,a,326,a(flip),b,13140,a(flip))]. 13144 ((x * y) \ (z \ 1)) * T((z * x) * y,((z * x) * y) \ 1) = (1 / (z * (x * y))) * ((z * x) * y). [hyper(228,a,659,a,b,13142,a(flip)),flip(a)]. 13145 x / ((1 / (y * (z * u))) * ((y * z) * u)) = (1 / x) \ (((y * z) * u) \ (y * (z * u))). [para(13142(a,1),317(a,1,2))]. 13146 T((1 / 1) \ (((x * y) * z) \ (x * (y * z))),1 / (x * (y * z))) = (1 / (x * (y * z))) \ (1 / ((x * y) * z)). [para(13145(a,1),322(a,1,1))]. 13147 ((x * y) \ (z \ 1)) * T((z * x) * y,y \ ((z * x) \ 1)) = (1 / (z * (x * y))) * ((z * x) * y). [para(118(a,1),13144(a,1,2,2))]. 13148 ((x * y) \ (z \ 1)) * T((z * x) * y,y \ (x \ (z \ 1))) = (1 / (z * (x * y))) * ((z * x) * y). [para(118(a,1),13147(a,1,2,2,2))]. 13149 ((x * y) \ (z \ 1)) * ((y \ (x \ (z \ 1))) \ 1) = (1 / (z * (x * y))) * ((z * x) * y). [para(2012(a,1),13148(a,1,2))]. 13150 (x \ (y \ (z \ 1))) \ ((y * x) \ (z \ 1)) = (1 / (z * (y * x))) * ((z * y) * x). [hyper(228,a,1980,a(flip),b,13149,a(flip)),flip(a)]. 13151 T(1 \ (((x * y) * z) \ (x * (y * z))),1 / (x * (y * z))) = (1 / (x * (y * z))) \ (1 / ((x * y) * z)). [para(58(a,1),13146(a,1,1,1))]. 13152 T(((x * y) * z) \ (x * (y * z)),1 / (x * (y * z))) = (1 / (x * (y * z))) \ (1 / ((x * y) * z)). [para(51(a,1),13151(a,1,1))]. 13154 T(((x * y) * z) \ (x * (y * z)),(x * (y * z)) \ 1) = (1 / (x * (y * z))) \ (1 / ((x * y) * z)). [hyper(4112,a,13152,a)]. 13155 T(((x * y) * z) \ (x * (y * z)),(y * z) \ (x \ 1)) = (1 / (x * (y * z))) \ (1 / ((x * y) * z)). [para(118(a,1),13154(a,1,2))]. 13156 T(((x * y) * z) \ (x * (y * z)),(y * z) \ (x \ 1)) = (x * (y * z)) / ((x * y) * z). [hyper(228,a,320,a(flip),b,13155,a)]. 13157 ((x * y) \ (z \ 1)) \ (((z * x) * y) \ 1) = (z * (x * y)) / ((z * x) * y). [hyper(228,a,1531,a(flip),b,13156,a(flip)),flip(a)]. 13158 ((x * y) \ (z \ 1)) \ (y \ ((z * x) \ 1)) = (z * (x * y)) / ((z * x) * y). [para(118(a,1),13157(a,1,2))]. 13159 ((x * y) \ (z \ 1)) \ (y \ (x \ (z \ 1))) = (z * (x * y)) / ((z * x) * y). [para(118(a,1),13158(a,1,2,2))]. 13160 (x * (y * z)) / ((x * y) * z) = ((x * y) * z) \ (x * (y * z)). [hyper(228,a,10368,a(flip),b,13159,a(flip))]. 13161 (1 / (x * (y * (z \ 1)))) \ (z / (x * y)) = ((x * y) * (z \ 1)) \ (x * (y * (z \ 1))). [hyper(548,a,13160,a)]. 13162 (((x * y) * z) \ (x * (y * z))) \ 1 = ((x * y) * z) * ((x * (y * z)) \ 1). [para(13160(a,1),120(a,1,1))]. 13163 (1 / (x * (y * z))) * ((x * y) * z) = ((x * y) * z) * ((x * (y * z)) \ 1). [hyper(228,a,13142,a(flip),b,13162,a(flip)),flip(a)]. 13164 (1 / (x * (y * z))) * ((x * y) * z) = ((x * y) * z) * ((y * z) \ (x \ 1)). [para(118(a,1),13163(a,2,2))]. 13165 (x \ (y \ (z \ 1))) \ ((y * x) \ (z \ 1)) = ((z * y) * x) * ((y * x) \ (z \ 1)). [hyper(228,a,13150,a,b,13164,a(flip)),flip(a)]. 13166 ((x * y) * z) * ((y * z) \ (x \ 1)) = a(1 / (x \ 1),y,z). [hyper(228,a,6765,a(flip),b,13165,a(flip))]. 13167 (((x * y) * z) * ((y * z) \ (x \ 1))) * (x * (y * z)) = (x * (y * z)) * ((a(x,y,z) \ 1) \ 1). [para(13165(a,1),11271(a,1,1))]. 13168 a(x,y,z) = ((x * y) * z) * ((y * z) \ (x \ 1)). [para(61(a,1),13166(a,2,1)),flip(a)]. 13169 (x * (1 / (((y * z) \ (u \ 1)) * x))) / ((u * y) * z) = x * (1 / (a(u,y,z) * x)). [para(13168(a,2),6846(a,2,2,2,1))]. 13170 ((x * y) * (z * K(u,K(w,y * z)))) * (T(y * z,K(u,w)) \ (x \ 1)) = a(x,y,z * K(u,K(w,y * z))). [para(8534(a,1),13168(a,2,2,1)),flip(a)]. 13171 (x * ((1 / (1 / x)) \ (y * (z * u)))) / ((y * z) * u) = x * (1 / (a(y,z,u) * x)). [para(632(a,1),13169(a,1,1,2))]. 13172 (K(x,x \ 1) * (y * (z * u))) / ((y * z) * u) = x * (1 / (a(y,z,u) * x)). [para(3036(a,1),13171(a,1,1))]. 13173 K(x,x \ 1) * ((y * (z * u)) / ((y * z) * u)) = x * (1 / (a(y,z,u) * x)). [hyper(228,a,3432,a(flip),b,13172,a(flip)),flip(a)]. 13174 (x * (y * z)) / ((x * y) * z) = a(x,y,z) \ 1. [hyper(11728,a,13173,a),flip(a)]. 13175 ((x * y) * z) \ (x * (y * z)) = a(x,y,z) \ 1. [hyper(228,a,13160,a(flip),b,13174,a(flip)),flip(a)]. 13176 (x * (y * (z \ 1))) \ K(z \ (x * y),(x * y) \ z) = (a(x,y,z \ 1) \ 1) \ (z / (x * y)). [para(13175(a,1),6821(a,1,1)),flip(a)]. 13177 ((1 / 1) \ ((x / y) / z)) \ (x / (z * y)) = ((z * y) * (x \ 1)) \ (z * (y * (x \ 1))). [para(637(a,1),13161(a,1,1))]. 13178 ((x * y) * (z \ 1)) \ (x * (y * (z \ 1))) = (1 \ ((z / y) / x)) \ (z / (x * y)). [para(58(a,1),13177(a,1,1,1)),flip(a)]. 13179 ((x * y) * (z \ 1)) \ (x * (y * (z \ 1))) = ((z / y) / x) \ (z / (x * y)). [para(51(a,1),13178(a,2,1))]. 13181 ((x / y) / z) \ (x / (z * y)) = a(z,y,x \ 1) \ 1. [hyper(228,a,13175,a(flip),b,13179,a(flip))]. 13182 ((((x * y) * z) / z) / y) \ R(x,y,z) = a(y,z,((x * y) * z) \ 1) \ 1. [para(30(a,2),13181(a,1,2))]. 13183 (((x / y) / z) \ (x / (z * y))) \ (x / (z * y)) = T((x / y) / z,a(z,y,x \ 1) \ 1). [para(13181(a,1),114(a,1,2)),flip(a)]. 13184 (a(x,y,z \ 1) \ 1) \ ((z / (x * y)) / ((z / y) / x)) = K((z / y) / x,((z / y) / x) \ (z / (x * y))). [para(13181(a,1),4853(a,1,1))]. 13185 ((x / y) / z) * ((x / (z * y)) \ K((x / y) / z,a(z,y,x \ 1) \ 1)) = (((x / y) / z) \ (x / (z * y))) \ 1. [para(13181(a,1),5465(a,1,2,2,2))]. 13186 a(x,y,((z * x) * y) \ 1) \ 1 = ((z * x) / x) \ R(z,x,y). [para(15(a,1),13182(a,1,1,1)),flip(a)]. 13187 a(x,y,((z * x) * y) \ 1) \ 1 = z \ R(z,x,y). [para(15(a,1),13186(a,2,1))]. 13189 a(x,y,y \ ((z * x) \ 1)) \ 1 = z \ R(z,x,y). [para(118(a,1),13187(a,1,1,3))]. 13190 a(x,y,y \ (x \ (z \ 1))) \ 1 = z \ R(z,x,y). [para(118(a,1),13189(a,1,1,3,2))]. 13191 T(x,T(a(y,z,z \ (y \ (u \ 1))),1)) = T(x,(u \ R(u,y,z)) \ 1). [para(13190(a,1),7146(a,1,2,1)),flip(a)]. 13192 a(x,y,K(y \ (K(x,z) \ (u \ 1)),z)) \ 1 = u \ R(u,K(x,z),y). [para(12987(a,1),13190(a,1,1))]. 13193 T(x,T(a(y,z,z \ (y \ (u \ 1))),1)) = T(x,R(u,y,z) \ u). [hyper(228,a,5675,a(flip),b,13191,a)]. 13194 T(x,a(y,z,z \ (y \ (u \ 1)))) = T(x,R(u,y,z) \ u). [para(143(a,1),13193(a,1,2))]. 13195 a(x,y,K(y \ (K(z,x) * (u \ 1)),z)) \ 1 = u \ R(u,K(x,z),y). [para(5035(a,1),13192(a,1,1,3,1,2))]. 13196 a(x,y,K(y \ (z \ 1),u)) \ 1 = z \ R(z,K(x,u),y). [para(8563(a,1),13195(a,1,1,3))]. 13198 (a(x,y,z \ 1) \ 1) \ (z / (x * y)) = T((z / y) / x,a(x,y,z \ 1) \ 1). [para(13181(a,1),13183(a,1,1))]. 13199 (x / (y * z)) / T((x / z) / y,a(y,z,x \ 1) \ 1) = a(y,z,x \ 1) \ 1. [para(13198(a,1),61(a,1,2))]. 13200 (a(x,y,z \ 1) \ 1) \ (z / (x * y)) != u | T((z / y) / x,a(x,y,z \ 1) \ 1) = u. [para(13199(a,1),283(a,1,1)),flip(b)]. 13201 (((x * y) * z) * ((y * z) \ (x \ 1))) * (x * (y * z)) = (x * (y * z)) * a(x,y,z). [para(11720(a,1),13167(a,2,2))]. 13202 (((x * y) * z) * ((y * z) \ (x \ 1))) * (x * (y * z)) = (x * y) * z. [hyper(228,a,89,a(flip),b,13201,a)]. 13203 a(x,y,z) * (x * (y * z)) = (x * y) * z. [para(13168(a,2),13202(a,1,1))]. 13204 ((x * y) * z) / (x * (y * z)) != u | a(x,y,z) = u. [para(13203(a,1),295(a,1,1)),flip(b)]. 13206 (x * (y * (z \ 1))) \ K(z \ (x * y),(x * y) \ z) != u | T((z / y) / x,a(x,y,z \ 1) \ 1) = u. [para(13176(a,2),13200(a,1))]. 13207 (a(x,y,z \ 1) \ 1) \ ((z / (x * y)) / ((z / y) / x)) = K((z / y) / x,a(x,y,z \ 1) \ 1). [para(13181(a,1),13184(a,2,2))]. 13208 a(((x * y) \ x) \ 1,z,((x * y) \ x) \ 1) * K(T(z,y),1 / ((x * y) \ x)) = K(z * (1 / ((x * y) \ x)),1 / ((x * y) \ x)). [para(10373(a,1),12493(a,1,1))]. 13210 a(x \ (x * y),z,x \ (x * y)) * K(T(z,y),1 / ((x * y) \ x)) = K(z * (1 / ((x * y) \ x)),1 / ((x * y) \ x)). [para(11964(a,1),13208(a,1,1))]. 13211 a(x,y,z \ (z * x)) * K(T(y,x),1 / ((z * x) \ z)) = K(y * (1 / ((z * x) \ z)),1 / ((z * x) \ z)). [para(13(a,1),13210(a,1,1,1))]. 13212 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(z,x,z) * K(T(x,z),1 / ((y * z) \ y)). [para(13(a,1),13211(a,1,1,3)),flip(a)]. 13213 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(z,x,z) * K(T(x,z),y \ (y * z)). [para(5555(a,1),13212(a,2,2))]. 13214 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(z,x,z) * K(T(x,z),z). [para(13(a,1),13213(a,2,2,2))]. 13215 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(z,x,z) * K(x,z). [para(4878(a,1),13214(a,2,2))]. 13216 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = K(z * x,z). [hyper(228,a,8891,a(flip),b,13215,a)]. 13217 K(x * (1 / ((y * z) \ y)),y \ (y * z)) = K(z * x,z). [hyper(5766,a,13216,a)]. 13218 K(x * (1 / ((y * z) \ y)),z) = K(z * x,z). [para(13(a,1),13217(a,1,2))]. 13219 K(x * (((y * z) \ y) \ 1),z) = K(z * x,z). [hyper(228,a,5345,a(flip),b,13218,a(flip)),flip(a)]. 13220 K(((x * y) \ x) \ z,y) = K(y * z,y). [hyper(9059,a,13219,a)]. 13221 K(((x * y) \ x) \ (y \ z),y) = K(z,y). [para(14(a,1),13220(a,2,1))]. 13222 K((1 / ((x * y) \ x)) \ z,y) = K(y \ z,y). [hyper(228,a,10355,a(flip),b,13221,a(flip))]. 13223 K((((x * y) \ x) \ 1) \ z,y) = K(y \ z,y). [hyper(5803,a,13222,a)]. 13225 K(x * ((y * z) \ y),z) = K(z \ x,z). [hyper(228,a,6805,a(flip),b,13223,a(flip)),flip(a)]. 13227 K((x \ y) \ z,x \ y) = K(z * (y \ x),x \ y). [para(14(a,1),13225(a,1,1,2,1)),flip(a)]. 13228 K((x \ y) \ z,x \ y) = K(z * (x / y),x \ y). [hyper(228,a,9368,a,b,13227,a)]. 13229 x * K(x * (y / z),y \ z) = ((y \ z) \ x) * (y \ z). [para(13228(a,1),239(a,1,2))]. 13230 ((1 / (x \ y)) \ z) * (1 / (x \ y)) = ((y \ x) \ z) * (y \ x). [hyper(228,a,9376,a,b,13229,a(flip)),flip(a)]. 13231 (((x \ y) \ 1) \ z) * ((x \ y) \ 1) = ((y \ x) \ z) * (y \ x). [hyper(228,a,3052,a(flip),b,13230,a(flip)),flip(a)]. 13232 ((x * y) \ x) \ T(((x * y) \ x) * z,y) = ((x \ (x * y)) \ z) * (x \ (x * y)). [hyper(228,a,5689,a,b,13231,a(flip)),flip(a)]. 13233 ((x * y) \ x) \ T(((x * y) \ x) * z,y) = (y \ z) * (x \ (x * y)). [para(13(a,1),13232(a,2,1,1))]. 13234 ((x * y) \ x) \ T(((x * y) \ x) * z,y) = (y \ z) * y. [para(13(a,1),13233(a,2,2))]. 13235 K(x,y * ((z * x) \ z)) = (((x \ y) * x) \ 1) * ((y \ 1) \ 1). [para(13234(a,1),12294(a,1,1,1)),flip(a)]. 13236 K(x,y * ((z * x) \ z)) = K(x,x \ y). [hyper(228,a,12291,a(flip),b,13235,a)]. 13238 K(x \ y,(x \ y) \ z) = K(x \ y,z * (y \ x)). [para(14(a,1),13236(a,1,2,2,1)),flip(a)]. 13239 K(x \ y,(x \ y) \ z) = K(x \ y,z * (x / y)). [hyper(228,a,9366,a,b,13238,a)]. 13240 x * K(y \ z,x * (y / z)) = (y \ z) * (x / (y \ z)). [para(13239(a,1),4915(a,1,2))]. 13241 (1 / (x \ y)) * (z / (1 / (x \ y))) = (y \ x) * (z / (y \ x)). [hyper(228,a,9374,a,b,13240,a(flip)),flip(a)]. 13242 (x * T(y,K(z,u))) * K(u,K(L(z,y,x),x * (K(z,u) * y))) = T(x * (K(z,u) * y),L(K(u,z),y,x)) * L(K(u,z),y,x). [hyper(228,a,7750,a(flip),b,12315,a(flip)),flip(a)]. 13243 T(x * (K(y,z) * u),L(K(z,y),u,x)) * L(K(z,y),u,x) = (x * T(u,K(y,z))) * K(z,K(L(y,u,x),x * u)). [para(9898(a,1),13242(a,1,2,2)),flip(a)]. 13244 T(x * (K(y,z) * u),L(K(z,y),u,x)) * L(K(z,y),u,x) = (x * T(u,K(y,z))) * K(z,K(x * u,L(y,u,x))). [para(7741(a,1),13243(a,2,2))]. 13246 T(x * (K(y,z) * u),L(K(z,y),u,x)) * L(K(z,y),u,x) = (x * T(u,K(y,z))) * K(z,K(y,x * u)). [para(12128(a,1),13244(a,2,2))]. 13247 T(x * (K(y,z) * u),L(K(z,y),u,x)) * L(K(z,y),u,x) = (x * T(u,K(y,z))) * K(y,K(z,x * u)). [para(7723(a,1),13246(a,2,2))]. 13248 T(x * (K(y,z) * u),K(z,L(y,u,x))) * L(K(z,y),u,x) = (x * T(u,K(y,z))) * K(y,K(z,x * u)). [para(11389(a,1),13247(a,1,1,2))]. 13249 T((x * (K(y,z) * u)) * L(K(z,y),u,x),K(z,L(y,u,x))) = (x * T(u,K(y,z))) * K(y,K(z,x * u)). [hyper(228,a,10504,a,b,13248,a(flip)),flip(a)]. 13250 (x * T(y,K(z,u))) * K(z,K(u,x * y)) = T(x * T(y,K(z,u)),K(u,L(z,y,x))). [para(11864(a,1),13249(a,1,1)),flip(a)]. 13251 T(x * T(y,K(z,u)),K(u,L(z,y,x))) != w * v5 | w \ ((x * T(y,K(z,u))) * K(z,K(u,x * y))) = v5. [para(13250(a,1),437(a,1))]. 13252 (x * (K(y,x) / T(x,z))) \ L(u,(x * (K(y,x) / T(x,z))) \ 1,x * (K(y,x) / T(x,z))) = ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u. [para(12586(a,1),12923(a,1,1))]. 13253 (x * (K(y,x) / T(x,z))) \ L(u,(x \ K(x,y)) * T(x,z),x * (K(y,x) / T(x,z))) = ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u. [para(12922(a,1),13252(a,1,2,2))]. 13254 (x * (K(y,x) / T(x,z))) \ L(u,(x \ K(x,y)) * T(x,z),K(y,x) * K(z,x)) = ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u. [para(8465(a,1),13253(a,1,2))]. 13255 (x * (K(y,x) / T(x,z))) \ L(u,K(x,y) * K(x,z),K(y,x) * K(z,x)) = ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u. [para(10394(a,1),13254(a,1,2))]. 13256 ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u = (x * (K(y,x) / T(x,z))) \ u. [para(12827(a,1),13255(a,1,2)),flip(a)]. 13257 ((((x \ K(x,y)) * T(x,z)) \ 1) \ 1) * u = (x * (K(y,x) / T(x,z))) \ u. [para(12922(a,1),13256(a,1,1,1,1))]. 13258 ((x * (K(y,x) / T(x,z))) \ 1) * u = (x * (K(y,x) / T(x,z))) \ u. [para(12586(a,1),13257(a,1,1,1))]. 13259 (x * (K(y,x) / T(x,z))) \ u = ((x \ K(x,y)) * T(x,z)) * u. [para(12922(a,1),13258(a,1,1)),flip(a)]. 13260 L(((x \ K(x,y)) * T(x,z)) * u,T(x,z) \ ((x \ 1) \ K(y,x)),T(x,z)) = ((x \ 1) \ K(y,x)) \ (T(x,z) * u). [para(13259(a,1),8972(a,1,1))]. 13261 L(((x \ K(x,y)) * T(x,z)) * u,x * (K(y,x) / T(x,z)),T(x,z)) = ((x \ 1) \ K(y,x)) \ (T(x,z) * u). [para(8549(a,1),13260(a,1,2))]. 13262 L(((x \ K(x,y)) * T(x,z)) * u,x * (T(x,y) \ K(z,x)),T(x,z)) = ((x \ 1) \ K(y,x)) \ (T(x,z) * u). [hyper(228,a,10401,a(flip),b,13261,a(flip)),flip(a)]. 13263 L(((x \ K(x,y)) * T(x,z)) * u,K(y,x) * K(z,x),T(x,z)) = ((x \ 1) \ K(y,x)) \ (T(x,z) * u). [para(4680(a,1),13262(a,1,2))]. 13264 ((x \ 1) \ K(y,x)) \ (T(x,z) * u) = ((x \ K(x,y)) * T(x,z)) * u. [hyper(228,a,11256,a(flip),b,13263,a(flip))]. 13266 (((x \ K(x,y)) * T(x,x \ 1)) * z) * K((K(x,y) / x) * (x * z),u) = T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),u). [para(13264(a,1),12098(a,1,1))]. 13267 T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),u) = (K(x,y) * z) * K((K(x,y) / x) * (x * z),u). [para(5864(a,1),13266(a,1,1,1)),flip(a)]. 13268 T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(u,u \ 1) * w) = (K(x,y) * z) * K((K(x,y) / x) * (x * z),u * w). [hyper(228,a,4353,a,b,13267,a(flip)),flip(a)]. 13269 T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(u,u \ 1) * w) = (K(x,y) * z) * K((x \ K(x,y)) * (x * z),u * w). [para(6414(a,1),13268(a,2,2))]. 13270 T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = (K(x,y) * z) * K(x \ (x * z),T(x * z,y)). [para(11362(a,1),13269(a,2,2))]. 13271 T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = (K(x,y) * z) * K(z,T(x * z,y)). [para(13(a,1),13270(a,2,2,1))]. 13272 T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = K(x,y) * T(z,T(x * z,y)). [hyper(228,a,5199,a(flip),b,13271,a)]. 13274 T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = T(z,x * z) * K(x,y). [hyper(228,a,8964,a(flip),b,13272,a)]. 13275 T(((x \ 1) \ K(y,x)) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = T(z,x * z) * K(x,y). [para(5127(a,1),13274(a,1,1,1))]. 13276 T(((x \ K(x,y)) * T(x,x \ 1)) * z,T(x,x \ 1) * z) = T(z,x * z) * K(x,y). [para(13264(a,1),13275(a,1,1))]. 13277 T(K(x,y) * z,T(x,x \ 1) * z) = T(z,x * z) * K(x,y). [para(5864(a,1),13276(a,1,1,1))]. 13278 T(K(x,y) * z,x * z) = T(z,x * z) * K(x,y). [hyper(228,a,4353,a(flip),b,13277,a(flip)),flip(a)]. 13279 T(K(x,y) * z,x * z) = T(z,z * x) * K(x,y). [para(4066(a,1),13278(a,2,1))]. 13280 T(K(x,x * (y \ L(y,z,u))) * w,x * w) = T(w,w * x) * a(u,z,K(y,x)). [para(12795(a,1),13279(a,2,2))]. 13281 T(a(x,y,K(z,u)) * w,u * w) = T(w,w * u) * a(x,y,K(z,u)). [para(12795(a,1),13280(a,1,1,1))]. 13282 T(a(x,y,K(z,u)) * x,u * x) = T(x,R(x * u,y,z)). [hyper(228,a,12999,a(flip),b,13281,a)]. 13283 T(x * a(x,y,K(z,u)),u * x) = T(x,R(x * u,y,z)). [para(10351(a,1),13282(a,1,1))]. 13284 (((a(x,y,z) \ 1) * u) * a(u,z \ L(z,y,x),u)) \ ((u * (a(x,y,z) \ 1)) * u) = R(T(u,a(x,y,z) \ u),(a(x,y,z) \ 1) * u,a(u,a(x,y,z) \ 1,u)). [para(1713(a,1),12856(a,2,1))]. 13285 (((a(x,y,z) \ 1) * u) * a(u,z \ L(z,y,x),u)) \ ((u * (a(x,y,z) \ 1)) * u) = T(u,a(x,y,z) \ u). [hyper(228,a,12251,a(flip),b,13284,a)]. 13287 ((a(x,y,z) \ 1) * R(u,z \ L(z,y,x),u)) \ ((u * (a(x,y,z) \ 1)) * u) = T(u,a(x,y,z) \ u). [para(9813(a,1),13285(a,1,1))]. 13288 L(T(x,a(y,z,u) \ 1),u \ L(u,z,y),x) = T(x,a(y,z,u) \ x). [hyper(228,a,10292,a(flip),b,13287,a(flip)),flip(a)]. 13289 T(x,a(y,z,u) \ x) = x * a(y,z,K(u,x)). [hyper(228,a,12821,a(flip),b,13288,a(flip))]. 13290 K(x,a(y,z,u) \ x) = a(y,z,K(u,x)). [hyper(4771,a,13289,a)]. 13291 T(x,a(y,z,u) \ x) = x * a(x,z,K(y,u)). [hyper(228,a,13011,a(flip),b,13289,a)]. 13292 T(T(x,a(y,z,u) \ x),u) = T(x,L(u,z,y)). [para(13289(a,2),11806(a,1,1))]. 13293 T(T(x,a(y,z,u) \ x),x * u) = T(x,L(u * x,z,y)). [para(13289(a,2),11808(a,1,1))]. 13294 K(x,a(y,z,u) \ x) = a(x \ 1,z,K(u,y)). [hyper(228,a,13009,a,b,13290,a)]. 13295 T(T(x,a(y,z,u) \ x),u * x) = T(x,R(x * u,z,y)). [para(13291(a,2),13283(a,1,1))]. 13296 T(T(x,y),a(z,u,y) \ x) = T(x,L(y,u,z)). [hyper(5427,a,13292,a)]. 13297 K(x,a(y,z,u) \ x) != w | a(y,z,K(u,x)) = w. [para(13294(a,2),13046(a,1))]. 13298 a(x,y,z) * a(u \ 1,y,K(z,x)) = T(a(x,y,z),a(x,y,z) \ u). [para(13294(a,1),12986(a,1,2))]. 13299 T(T(x,y * (z * (u \ 1))),a(w,v5,y * (z * (1 / u))) \ x) = T(x,L(y * (z * (1 / u)),v5,w)). [para(4413(a,1),13296(a,1,1))]. 13300 T(T(x,x * y),a(z,u,y) \ x) = T(x,L(y * x,u,z)). [hyper(5427,a,13293,a)]. 13301 T(T(x,x * y),a(z,u,y) \ x) = T(x,R(x * y,u,z)). [hyper(5429,a,13295,a)]. 13302 T(x,R(x * y,z,u)) = T(x,L(y * x,z,u)). [hyper(228,a,13300,a(flip),b,13301,a(flip))]. 13303 T(x,L((y / T(1 / (1 / x),z)) * x,u,w)) = T(x,R(y,u,w)). [hyper(228,a,12908,a(flip),b,13302,a(flip))]. 13304 T(x,L(y * (x * (1 / T(x,z))),u,w)) = T(x,R(y,u,w)). [para(9621(a,1),13303(a,1,2,1))]. 13305 T(a(x,y,z),a(x,y,z) \ u) = T(a(x,y,z),z \ ((u \ 1) \ 1)). [hyper(228,a,13102,a(flip),b,13298,a(flip))]. 13306 a(x,y,z) * a(u * (w \ 1),y,K(z,x)) = T(a(x,y,z),a(x,y,z) \ (w / u)). [para(120(a,1),13298(a,1,2,1))]. 13307 T(a(x,y,z),a(x,y,z) \ u) = T(a(x,y,z),z \ u). [hyper(228,a,4346,a(flip),b,13305,a)]. 13308 T(T(x,y * (z * (u \ 1))),a(w,v5,y * (z * (u \ 1))) \ x) = T(x,L(y * (z * (1 / u)),v5,w)). [para(10852(a,1),13299(a,1,2,1))]. 13309 T(x,L(y * (z * (1 / u)),w,v5)) = T(x,L(y * (z * (u \ 1)),w,v5)). [hyper(228,a,13296,a(flip),b,13308,a(flip))]. 13310 T(x,L(y * (x * (T(x,z) \ 1)),u,w)) = T(x,R(y,u,w)). [hyper(228,a,13304,a(flip),b,13309,a(flip))]. 13311 T(x,L(y * K(z,x),u,w)) = T(x,R(y,u,w)). [para(4647(a,2),13310(a,1,2,1,2))]. 13312 T(x,R(y,z,u)) = T(x,L(y,z,u)). [para(12356(a,1),13311(a,1,2,1)),flip(a)]. 13313 x \ T(x,L(y,z,u)) = K(x,R(y,z,u)). [hyper(71,a,13312,a(flip),b,4705,a(flip))]. 13314 K(x,R(y,z,u)) = K(x,L(y,z,u)). [hyper(4773,a,13313,a),flip(a)]. 13315 L(K(x,y),z,u) = K(x,R(y,z,u)). [hyper(228,a,11389,a,b,13314,a),flip(a)]. 13316 K(R(x,y,z),u) = K(x,L(u,y,z)). [hyper(228,a,12562,a,b,13314,a(flip)),flip(a)]. 13317 R(K(x,y),z,u) = K(x,L(y,z,u)). [hyper(228,a,12559,a,b,13314,a(flip)),flip(a)]. 13318 K(x,L((y / z) / u,u,z)) = K(x,y / (u * z)). [para(226(a,1),13314(a,1,2)),flip(a)]. 13319 K(x,L(y \ (z / u),y,u)) = K(x,T(z / (y * u),y)). [para(609(a,1),13314(a,1,2)),flip(a)]. 13320 ((x * y) * z) * K(y * z,L(x,y,z)) = (y * z) * R(x,y,z). [para(13314(a,1),485(a,1,2))]. 13321 K(x,K((1 / (y \ z)) / u,L(u / y,y,y \ z))) = K(x,K(z,(1 / (y \ z)) / u)). [para(13314(a,1),9741(a,1,2))]. 13322 R(K(x,y),z,u) = L(K(x,y),z,u). [hyper(228,a,12559,a,b,13315,a),flip(a)]. 13323 K(R(x,y,z),u) = K(L(x,y,z),u). [hyper(228,a,11421,a,b,13316,a)]. 13324 K(x,L(y,z,u)) * (x \ R(x,z,u)) = R(T(x,y),z,u) * (x \ 1). [para(13316(a,1),6472(a,1,1))]. 13325 K(x,L(y,z,u)) * (z * u) = (K(x,y) * z) * u. [para(13317(a,1),109(a,1,1))]. 13326 L(K(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). [hyper(6964,a,13322,a),flip(a)]. 13327 L(K(x / (y / z),u),x,z) = K((x * z) / y,u). [hyper(228,a,6741,a(flip),b,13322,a(flip))]. 13328 L(K(x,y),z,u) * (z * u) = (K(x,y) * z) * u. [para(13322(a,1),109(a,1,1))]. 13329 L(K(x,y),z,u) \ ((K(x,y) * z) * u) = z * u. [para(13322(a,1),141(a,1,1))]. 13330 L(L(K(x,y),z,u),w,v5) * (z * u) = (L(K(x,y),w,v5) * z) * u. [para(13322(a,1),482(a,1,1,1))]. 13333 (K(x,T(y,z)) * u) * (u \ z) = z * L(K(x,y),u,u \ z). [para(13322(a,1),7897(a,2,2))]. 13334 L(K(x,y),z,u) \ (u * (K(x,y) * z)) = z * T(u,K(x,y) * z). [para(13322(a,1),11376(a,1,1))]. 13335 K(L(x / y,y,z),u) = K((x * z) / (y * z),u). [para(110(a,1),13323(a,1,1)),flip(a)]. 13336 K(L((x / y) / z,z,y),u) = K(x / (z * y),u). [para(226(a,1),13323(a,1,1)),flip(a)]. 13337 K(L(x * K(y,x),y,z),T(u,y * z)) != w | K((y * z) \ ((y * x) * z),u) = w. [para(13323(a,1),7656(a,1))]. 13338 K(R(x,y,z) \ 1,u) = K(L(x,y,z) \ 1,u). [hyper(6147,a,13326,a),flip(a)]. 13339 (x \ K(L(y,z,u) \ 1,w)) \ (x \ 1) = K(w,R(y,z,u) \ 1). [para(13338(a,1),4892(a,1,1,2))]. 13340 K(x,K((y / z) / u,L(w,y / z,z))) = K(x,K(w,y / (u * z))). [para(13318(a,1),8959(a,2,2))]. 13341 x \ (y * (K((y \ x) / (z / y),u) * (y \ x))) = K(((y \ x) * y) / z,T(u,y \ x)). [hyper(7179,a,13327,a)]. 13343 L(K(x,y),z,u) * (z * u) = (K(y,x) \ z) * u. [para(5035(a,2),13328(a,2,1))]. 13344 K(x,1 / L(y,z,u)) * (z * u) = (K(x,1 / y) * z) * u. [para(6104(a,1),13328(a,1,1))]. 13345 K((x * y) \ z,T(u,y)) = K(((x \ z) * x) / (y * x),u). [hyper(8158,a,13335,a)]. 13347 K(L((x / y) / K(z,u),K(z,u),y),w) = K(x / (K(u,z) \ y),w). [para(5035(a,2),13336(a,2,1,2))]. 13348 L(K(x,y),z,u) \ (z * u) = (K(x,y) \ z) * u. [hyper(228,a,6445,a,b,13343,a(flip)),flip(a)]. 13349 K(x,T(1 / (y * z),y)) = K(x,(z * y) \ K(z,1 / z)). [para(467(a,1),13319(a,1,2)),flip(a)]. 13350 K((x * y) \ z,T(u,y)) = (((w \ v5) \ v5) * K(u,((x \ z) * x) / (y * x))) \ T(w,w \ v5). [hyper(228,a,5061,a,b,13345,a)]. 13351 K((K(x,y) * T(z,K(y,x))) \ u,T(w,T(z,K(y,x)))) = K(((K(x,y) \ u) * K(x,y)) / (K(x,y) * z),w). [para(5981(a,1),13345(a,2,1,2))]. 13352 (x * K(y,z)) * a(y,u,K(x / u,z)) = x * L(K(y,z),u,u \ x). [hyper(228,a,13130,a,b,13333,a(flip)),flip(a)]. 13353 K(x,1 / L(y,z,u)) * (z * T(u,z)) = (K(x,1 / y) * z) * T(u,z). [para(11015(a,1),13344(a,1,1,2,2))]. 13354 ((x * y) * z) * K(y * z,x) = (y * z) * R(x,y,z). [para(11599(a,1),13320(a,1,2))]. 13355 R(x,y,z) * T(y * z,x) = (y * z) * R(x,y,z). [hyper(5732,a,13354,a)]. 13356 ((x * y) * z) * a(z,x,y) = (x * y) * R(z,x,y). [hyper(228,a,11031,a,b,13355,a(flip)),flip(a)]. 13357 ((K(x,y) * z) * u) * a(u,z,K(x,T(y,z))) = (z * K(x,T(y,z))) * R(u,z,K(x,T(y,z))). [para(7174(a,1),13356(a,1,1,1))]. 13358 K(x,R(y,z,u) \ 1) = K(x,L(y,z,u) \ 1). [hyper(4939,a,13339,a),flip(a)]. 13359 K(x,L((y / z) \ u,y / z,z) \ 1) = K(x,T((u * z) / y,y / z) \ 1). [para(720(a,1),13358(a,1,2,1)),flip(a)]. 13360 L(K(x,y),z,u) * (u * (K(y,x) * z)) = z * T(u,K(y,x) * z). [hyper(6449,a,13334,a)]. 13361 K(x,K((y / z) * u,L(w,y / z,z))) = K(x,K(w,y / ((1 / u) * z))). [para(5644(a,1),13340(a,1,2))]. 13362 K(L((x / y) * K(z,u),K(u,z),y),w) = K(x / (K(z,u) \ y),w). [para(5063(a,1),13347(a,1,1,1))]. 13363 T((x * (K(y,z) * u)) * L(K(z,y),u,x),K(y,L(z,u,x))) = u * T(x,K(y,z) * u). [hyper(228,a,11457,a,b,13360,a(flip)),flip(a)]. 13364 a(x \ y,x,K(z,u)) = a(u,x,K(y / x,z)). [hyper(9702,a,13352,a)]. 13365 a(x,y,K((y * z) / y,u)) = a(z,y,K(u,x)). [para(13(a,1),13364(a,1,1)),flip(a)]. 13367 a(x,y,K(z,T(u,y))) = a(z,y,K(u,x)). [para(7838(a,1),13365(a,1,3))]. 13368 K(x,K(y,L(z,u,w))) * (u * T(w,u)) = (K(x,1 / K(y,z)) * u) * T(w,u). [para(8514(a,1),13353(a,1,1))]. 13369 K(x,L((y / z) \ u,y / z,z) \ 1) = K(x,T(((u * z) / y) \ 1,y / z)). [hyper(228,a,7165,a(flip),b,13359,a)]. 13370 K(x,K(y,L(z,u,w))) * (w * u) = (K(x,1 / K(y,z)) * u) * T(w,u). [para(113(a,1),13368(a,1,2))]. 13371 K(x,L((y / z) \ u,y / z,z) \ 1) = K(x,T(y / (u * z),y / z)). [hyper(228,a,9086,a(flip),b,13369,a)]. 13372 K(x,T(y / (z * u),y / u)) = K(x,(u * z) \ (u * (y / u))). [hyper(5764,a,13371,a),flip(a)]. 13373 K(x,T(y / (z * (z \ u)),y / (z \ u))) = K(x,T(u,z) \ ((z \ u) * (y / (z \ u)))). [hyper(228,a,12515,a(flip),b,13372,a)]. 13374 K(x,T(y / ((z / (z * u)) * (z * u)),y / (z * u))) = K(x,(z * K(z * u,u \ 1)) \ ((z * u) * (y / (z * u)))). [para(5574(a,1),13372(a,2,2,1))]. 13375 T(x * T(y,K(z,u)),K(z,L(u,y,x))) = y * T(x,K(z,u) * y). [para(11864(a,1),13363(a,1,1))]. 13376 T(x * T(y,K(z,u)),K(u,L(z,y,x))) = y * T(x,K(u,z) * y). [para(7785(a,1),13375(a,1,1,2))]. 13377 x \ ((y * T(x,K(z,u))) * K(z,K(u,y * x))) = T(y,K(u,z) * x). [hyper(13251,a,13376,a)]. 13378 x \ ((y * T(x,K(z,u))) * (K(u,T(z,y * x)) * K(z,u))) = T(y,K(u,z) * x). [para(8001(a,2),13377(a,1,2,2))]. 13379 x \ (((y * T(x,K(z,u))) * K(z,u)) * K(u,T(z,y * x))) = T(y,K(u,z) * x). [para(8858(a,2),13378(a,1,2))]. 13380 x \ (((y * T(x,K(z,u))) * K(z,u)) * K(u,T(z,y * T(x,K(z,w))))) = T(y,K(u,z) * x). [para(8243(a,2),13379(a,1,2,2,2))]. 13381 K(x,T(y / z,y / (u \ z))) = K(x,T(z,u) \ ((u \ z) * (y / (u \ z)))). [para(14(a,1),13373(a,1,2,1,2))]. 13382 K((x * y) \ z,T(u,y)) != w | K(((x \ z) * x) / (y * x),u) = w. [para(13350(a,2),5316(a,1))]. 13383 ((K(x,y) * z) * u) * a(x,z,K(y,u)) = (z * K(x,T(y,z))) * R(u,z,K(x,T(y,z))). [para(13367(a,1),13357(a,1,2))]. 13384 (x * K(y,T(z,x))) * R(u,x,K(y,T(z,x))) = K(y,z) * (x * u). [hyper(13120,a,13383,a),flip(a)]. 13385 (K(x,y) * z) * R(u,z,K(x,T(y,z))) = K(x,y) * (z * u). [para(7174(a,1),13384(a,1,1))]. 13386 (K(x,y) * z) * R(u,z,K(x,y)) = K(x,y) * (z * u). [para(10628(a,1),13385(a,1,2))]. 13387 R(x,y,K(z,u)) = L(x,y,K(z,u)). [hyper(445,a,13386,a),flip(a)]. 13388 L(x,1 / (x * y),K(z,u)) = L(x,y,K(u,z)). [hyper(228,a,11091,a,b,13387,a(flip)),flip(a)]. 13390 L(x / (y \ K(z,u)),y \ K(z,u),K(u,z)) = (K(z,u) / x) \ y. [hyper(228,a,4904,a(flip),b,13387,a(flip))]. 13391 L(x \ (y / K(z,u)),x,K(z,u)) = T(y / (x * K(z,u)),x). [hyper(228,a,609,a(flip),b,13387,a(flip))]. 13392 L(x,x \ y,K(z,u)) \ (y * K(z,u)) = (x \ y) * K(z,u). [para(13387(a,1),472(a,1,1))]. 13396 L(x,(x * y) \ 1,K(z,u)) = L(x,y,K(u,z)). [hyper(228,a,10384,a(flip),b,13388,a(flip)),flip(a)]. 13398 L(x,1 / (y * x),K(z,u)) = L(x,T(y,x),K(u,z)). [para(113(a,1),13388(a,1,2,2))]. 13399 L(x,y,K(z,x)) != u | u = x. [para(13388(a,1),9942(a,1))]. 13400 L(x,y \ (x \ 1),K(z,u)) = L(x,y,K(u,z)). [para(118(a,1),13396(a,1,2))]. 13401 L(x,1 / (y * x),K(z,u)) = L(x,y,K(u,z)). [hyper(228,a,10673,a(flip),b,13398,a)]. 13402 L(x,(y * x) \ 1,K(z,u)) = L(x,y,K(u,z)). [hyper(228,a,10384,a(flip),b,13401,a(flip)),flip(a)]. 13403 L(x,x \ (y \ 1),K(z,u)) = L(x,y,K(u,z)). [para(118(a,1),13402(a,1,2))]. 13404 T(x / (y * K(z,u)),y) = (K(z,u) * y) \ T(x,K(z,u)). [hyper(228,a,8044,a(flip),b,13391,a(flip))]. 13405 x / (y \ K(z \ u,u \ z)) = (K(z \ u,u \ z) / x) \ y. [hyper(9941,a,13390,a),flip(a)]. 13406 x / (y * (z \ K(u \ w,w \ u))) = (K(u \ w,w \ u) / x) \ (z / y). [para(6753(a,1),13405(a,1,2))]. 13407 x / (y * (z * (u \ K(w \ v5,v5 \ w)))) = (K(w \ v5,v5 \ w) / x) \ ((u / z) / y). [para(6753(a,1),13406(a,1,2,2))]. 13408 (K(x \ y,y \ x) / ((z * u) * (w \ K(x \ y,y \ x)))) \ ((w / u) / z) = a(z,u,w \ K(x \ y,y \ x)). [hyper(13204,a,13407,a),flip(a)]. 13409 x \ (((y * T(x,K(z,u))) * K(z,u)) * ((K(z,u) * (y * T(x,K(z,w)))) \ (y * T(x,K(z,w))))) = T(y,K(u,z) * x). [para(7160(a,2),13380(a,1,2,2))]. 13410 K((x * K(y,z)) \ u,T(w,T(x,K(z,y)))) = K(((K(y,z) \ u) * K(y,z)) / (K(y,z) * x),w). [para(7792(a,1),13351(a,1,1,1))]. 13411 ((K(x \ y,y \ x) / K(x \ y,y \ x)) \ (z / (u * w))) \ ((z / w) / u) = a(u,w,z \ K(x \ y,y \ x)). [para(13406(a,1),13408(a,1,1))]. 13412 a(x,y,z \ K(u \ w,w \ u)) = (1 \ (z / (x * y))) \ ((z / y) / x). [para(58(a,1),13411(a,1,1,1)),flip(a)]. 13413 a(x,y,z \ K(u \ w,w \ u)) = (z / (x * y)) \ ((z / y) / x). [para(51(a,1),13412(a,2,1))]. 13415 (x / (y * z)) \ ((x / z) / y) = a(y,z,x \ 1). [hyper(10859,a,13413,a),flip(a)]. 13416 T(((x / y) / z) / (x / (z * y)),x / (z * y)) = a(z,y,x \ 1). [hyper(289,a,13415,a)]. 13417 ((x / y) / z) / (x / (z * y)) = a(z,y,x \ 1). [hyper(228,a,3540,a,b,13415,a(flip)),flip(a)]. 13418 ((x * y) / (z * y)) \ (x / z) = a(z,y,(x * y) \ 1). [para(15(a,1),13415(a,1,2,1))]. 13419 ((x * y) / (z * y)) \ (x / z) = a(z,y,y \ (x \ 1)). [para(118(a,1),13418(a,2,3))]. 13420 K(x,T(a(y,z,z \ (u \ 1)),(u * z) / (y * z))) != w | K(x,(u / y) / ((u * z) / (y * z))) = w. [para(13419(a,1),7960(a,1,2,1))]. 13421 K(a(x,y,y \ (z \ 1)),T(u,z / x)) != w | K((z / x) / ((z * y) / (x * y)),u) = w. [para(13419(a,1),7963(a,1,1))]. 13422 T(a(x,y,z \ 1),z / (x * y)) = a(x,y,z \ 1). [para(13417(a,1),13416(a,1,1))]. 13423 K(x,T(y / z,y / (z * u))) = K(x,(z * K(z * u,u \ 1)) \ ((z * u) * (y / (z * u)))). [para(16(a,1),13374(a,1,2,1,2))]. 13424 x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(u,z) * x). [para(5959(a,2),13409(a,1,2))]. 13425 (x * K(K(y,z),x)) \ T(u * x,K(y,z)) = T(u,K(z,y) * (x * K(K(y,z),x))). [para(4674(a,1),13424(a,1,2,1,2))]. 13426 x \ T(y * T(x,K(z,u)),K(u,z)) = T(y,K(z,u) * x). [para(7785(a,1),13424(a,1,2,1,2))]. 13427 x \ T(y * T(x,K(z,u)),K(u,z * u)) = T(y,K(z * u,u) * x). [para(7994(a,1),13424(a,1,2,1,2))]. 13428 x \ T(y * T(x,K(z,u)),K(z,1 / u)) = T(y,K(1 / u,z) * x). [para(8121(a,1),13424(a,1,2,1,2))]. 13429 x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(z,u) * x). [para(7785(a,1),13426(a,1,2))]. 13430 T(x,K(y,z) * u) = T(x,K(z,y) * u). [hyper(228,a,13424,a(flip),b,13429,a(flip))]. 13431 x \ T(x,K(y,z) * u) = K(x,K(z,y) * u). [hyper(71,a,13430,a,b,4705,a(flip))]. 13432 T(x,K(y,z) * T(u,K(z,y))) = T(x,u * K(z,y)). [para(113(a,1),13430(a,1,2)),flip(a)]. 13433 T(x,K(y,z) * (z * u)) = T(x,T(z,y) * u). [para(4720(a,1),13430(a,1,2)),flip(a)]. 13434 K(x,K(y,z) * u) = K(x,K(z,y) * u). [hyper(4773,a,13431,a)]. 13435 K(x,K(y,z) * u) != w | K(x,K(z,y) * u) = w. [para(13431(a,1),4773(a,1))]. 13436 K(x,K(y,z) \ u) = K(x,K(y,z) * u). [para(5035(a,2),13434(a,1,2))]. 13437 K(x,K(y,z) * (y \ u)) = K(x,T(y,z) \ u). [para(5004(a,1),13434(a,1,2)),flip(a)]. 13438 K(x,K(y,z \ u) * (u / z)) = K(x,T(u / z,T(y,z))). [para(7333(a,1),13434(a,1,2)),flip(a)]. 13439 K(x,K(y,z) \ u) = K(x,K(z,y) \ u). [para(5035(a,2),13436(a,2,2))]. 13440 K(x,L(K(y,z),u,w) \ v5) = K(x,K(L(z,u,w),y) \ v5). [para(11389(a,2),13439(a,1,2,1))]. 13441 T(x,((y * z) / y) * u) = T(x,T(z,y) * u). [para(5523(a,1),13433(a,1,2))]. 13442 K(x,K(y,z) * (y \ (z \ 1))) = K(x,z \ (y \ 1)). [para(429(a,1),13437(a,2,2))]. 13443 K(x,((y * z) / y) \ u) = K(x,T(z,y) \ u). [para(4978(a,2),13437(a,1,2))]. 13444 T(x,T(T(y,z),z) * u) = T(x,y * u). [para(166(a,1),13441(a,1,2,1)),flip(a)]. 13445 T(T(x,K(y,z)),z * y) = T(x,y * T(T(z,u),u)). [hyper(12384,a,13444,a),flip(a)]. 13446 K(x,(L(y,z,y) * z) \ u) = K(x,T(z * y,y) \ u). [para(4050(a,1),13443(a,1,2,1))]. 13447 T(x,K(y,z) * (u * K(K(z,y),u))) = T(x,u * K(z,y)). [para(7744(a,2),13432(a,1,2,2))]. 13448 K(x,y \ (T(z,y) \ 1)) = K(x,z \ (y \ 1)). [para(5453(a,1),13442(a,1,2))]. 13449 a(x \ (T(y,x) \ 1),z,K(u,w)) = a(u,z,K(w,y \ (x \ 1))). [para(13448(a,1),12990(a,1,3)),flip(a)]. 13450 T(x,y * T(T(z,u),u)) = T(x,y * z). [hyper(12376,a,13445,a),flip(a)]. 13451 T(x,y * ((z * u) / z)) = T(x,y * T(u,z)). [para(165(a,1),13450(a,1,2,2,1)),flip(a)]. 13452 K(x * ((y * z) / y),u) = u / T(u,x * T(z,y)). [para(13451(a,1),4645(a,2,2))]. 13453 K(x * ((y * z) / y),u) = K(x * T(z,y),u). [hyper(228,a,4645,a,b,13452,a)]. 13454 K((x \ y) * ((z * ((x \ y) \ (x \ u))) / z),w) = K(x \ (y * T(y \ u,z)),w). [para(1439(a,1),13453(a,2,1))]. 13455 K(x,T(y * z,z) \ u) = K(x,(z * y) \ u). [hyper(228,a,12861,a(flip),b,13446,a(flip))]. 13458 x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(z * u,u) * x). [para(7994(a,1),13427(a,1,2))]. 13459 T(x,K(y * z,z) * u) = T(x,K(y,z) * u). [hyper(228,a,13429,a(flip),b,13458,a(flip))]. 13460 T(x,K(y * z,y) * u) = T(x,K(z,y) * u). [para(5647(a,1),13459(a,1,2,1))]. 13461 T(x,K(y,y * z) * u) = T(x,K(z,y) * u). [hyper(228,a,13430,a,b,13460,a(flip)),flip(a)]. 13462 T(x,K(y \ z,y) * u) = T(x,K(z,y) * u). [para(14(a,1),13460(a,1,2,1,1)),flip(a)]. 13463 T(T(x,K(y,K(z,u))),K(u,z) * y) = T(x,y * K(z,z * u)). [hyper(12383,a,13461,a),flip(a)]. 13464 K(x,K(y \ z,y) * u) = x \ T(x,K(z,y) * u). [hyper(71,a,13462,a(flip),b,4705,a(flip)),flip(a)]. 13465 K(x,K(y \ z,y) * u) != w | K(x,K(z,y) * u) = w. [para(13464(a,2),4773(a,1))]. 13466 T(x,y * K(z,z * u)) = T(x,y * K(u,z)). [hyper(12382,a,13463,a),flip(a)]. 13467 x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(1 / u,z) * x). [para(8121(a,1),13428(a,1,2))]. 13468 T(x,K(1 / y,z) * u) = T(x,K(y,z) * u). [hyper(228,a,13424,a(flip),b,13467,a(flip))]. 13469 T(x,K(y \ 1,z) * u) = T(x,K(y,z) * u). [para(61(a,1),13468(a,1,2,1,1)),flip(a)]. 13470 K(x,K(y \ 1,z) * u) = x \ T(x,K(y,z) * u). [hyper(71,a,13469,a(flip),b,4705,a(flip)),flip(a)]. 13471 T(x,K(y,z) * T(u,K(z,y \ 1))) = T(x,u * K(y \ 1,z)). [para(7792(a,1),13469(a,1,2)),flip(a)]. 13472 K(x,K(y \ 1,z) * u) = K(x,K(y,z) * u). [hyper(228,a,4649,a,b,13470,a)]. 13473 K(x,K(y \ 1,z) * u) != w | K(x,K(y,z) * u) = w. [para(13470(a,2),4773(a,1))]. 13474 K(x,K(y,z \ 1) * u) = K(x,K(z,y) * u). [hyper(13435,a,13472,a)]. 13475 K(x,K(y,z) * (y \ u)) = K(x,u * T(u \ (y \ u),z)). [para(4964(a,1),13472(a,1,2)),flip(a)]. 13476 L(K(x,K(y,z) * (u \ w)),u \ w,u) = K(x,(K(z,y \ K(y,u)) * u) \ w). [para(13472(a,1),6662(a,1,1))]. 13477 K(x,K(y \ z,u) * w) = K(x,K(u,z \ y) * w). [para(5558(a,1),13474(a,1,2,1)),flip(a)]. 13478 K(x,K(y,z) * T(u,K(z,y))) = K(x,u * K(z,y \ 1)). [para(8122(a,1),13474(a,1,2)),flip(a)]. 13479 L(K(x,K(y,z) * (u \ w)),u \ w,u) = K(x,(K(y \ K(y,u),z) * u) \ w). [para(13474(a,1),6661(a,1,1))]. 13480 K(x,K(y,z \ y) * u) = K(x,K(z,y) * u). [hyper(13465,a,13477,a),flip(a)]. 13481 K(x,T(y,z \ y) \ u) = K(x,K(z,y) * (y \ u)). [hyper(228,a,13437,a(flip),b,13480,a(flip)),flip(a)]. 13482 K(x,T(y / z,T(u \ (z \ y),z))) = K(x,K(u,z \ y) * (y / z)). [para(7333(a,1),13480(a,1,2))]. 13483 K(x,T(y,z \ y) \ u) = K(x,T(y,z) \ u). [para(5004(a,1),13481(a,2,2))]. 13484 K(x,(y * z) * T((y * z) \ ((z * K(y,z)) \ (y * z)),u)) = K(x,K(z * K(y,z),u) * y). [para(4743(a,1),13475(a,1,2,2)),flip(a)]. 13485 K(x,y * K(z,u \ 1)) = K(x,y * K(u,z)). [para(7792(a,1),13478(a,1,2)),flip(a)]. 13486 K(x * K(y,z \ 1),u) = 1 / K(u,x * K(z,y)). [para(13485(a,1),4894(a,1,2)),flip(a)]. 13487 K(x * K(y,z \ 1),u) = K(x * K(z,y),u). [hyper(228,a,4894,a(flip),b,13486,a)]. 13488 K(((x * (y \ z)) / x) * y,u) = K(z * K(z \ y,x),T(u,y)). [hyper(228,a,12348,a,b,13487,a(flip)),flip(a)]. 13489 T(x,K(y,z) * T(u,K(y,z))) = T(x,u * K(y \ 1,z)). [para(8115(a,1),13471(a,1,2,2))]. 13490 T(x,y * K(z \ 1,u)) = T(x,y * K(z,u)). [para(113(a,1),13489(a,1,2)),flip(a)]. 13491 K(x,T(y / z,T(u \ (z \ y),z))) = K(x,T(y / z,T(u,z))). [hyper(228,a,13438,a(flip),b,13482,a)]. 13492 K(x,T(y / z,y / (z * u))) = K(x,T(y / z,T(u,z))). [para(9991(a,1),13491(a,1,2))]. 13493 K(x,(y * K(y * z,z \ 1)) \ ((y * z) * (u / (y * z)))) = K(x,T(u / y,T(z,y))). [hyper(228,a,13423,a(flip),b,13492,a(flip)),flip(a)]. 13494 K(x,T(y / z,T(T(z \ (u \ z),T(u,w)),z))) = K(x,T(y / z,y / (((u \ 1) \ 1) \ z))). [para(6455(a,1),13492(a,1,2,2,2)),flip(a)]. 13495 K(x,(K(y,z \ K(z,u)) * u) \ w) = K(x,(u * K(y,z)) \ w). [hyper(6783,a,13476,a),flip(a)]. 13496 K(x,(y * K(z,u \ 1)) \ w) = K(x,(y * K(z,u)) \ w). [para(6460(a,1),13495(a,1,2,1))]. 13497 K(x,(K(y \ K(y,z),u) * z) \ w) = K(x,(z * K(u,y)) \ w). [hyper(6783,a,13479,a),flip(a)]. 13498 K(x,(y * K(z \ 1,u)) \ w) = K(x,(y * K(u,z)) \ w). [para(6423(a,1),13497(a,1,2,1))]. 13499 K(x,(y * K(z \ 1,u)) \ K(u,K(y * K(u,z),z))) = K(x,(L(K(u,z),y,K(u,z)) * y) \ 1). [para(7735(a,1),13498(a,2,2))]. 13500 T(x,K(y,z)) \ T(u * x,K(y,z)) = T(u,K(z,y) * (x * K(K(y,z),x))). [para(7744(a,1),13425(a,1,1))]. 13501 T(x,K(y,z)) \ T(u * x,K(y,z)) = T(u,x * K(y,z)). [hyper(228,a,13447,a(flip),b,13500,a)]. 13502 K(x \ (y * ((z * (y \ u)) / z)),w) = K(x \ (y * T(y \ u,z)),w). [para(1969(a,1),13454(a,1,1))]. 13503 K(x \ (y * T(y \ 1,z)),u) = K(x \ K(z,y \ 1),u). [para(4692(a,1),13502(a,1,1,2)),flip(a)]. 13504 K(x \ K(y \ 1,z),u) = K(x \ K(z,y \ 1),u). [para(4650(a,1),13503(a,1,1,2))]. 13505 (x \ K(y \ K(z,u \ 1),w)) \ (x \ 1) = K(w,y \ K(u \ 1,z)). [para(13504(a,1),4892(a,1,1,2))]. 13506 K(x,y \ K(z \ 1,u)) = K(x,y \ K(u,z \ 1)). [hyper(4939,a,13505,a),flip(a)]. 13507 K(x,(y * K(y * z,z)) \ ((y * z) * (u / (y * z)))) = K(x,T(u / y,T(z,y))). [hyper(228,a,13496,a(flip),b,13493,a(flip)),flip(a)]. 13508 K(x,(y * K(y,z)) \ ((y * z) * (u / (y * z)))) = K(x,T(u / y,T(z,y))). [hyper(228,a,12860,a(flip),b,13507,a(flip)),flip(a)]. 13509 K(x,T(y,z) \ ((y * z) * (u / (y * z)))) = K(x,T(u / y,T(z,y))). [para(4705(a,2),13508(a,1,2,1))]. 13510 K(x,T(y,z) \ ((y * T(z,y)) * (u / (y * T(z,y))))) = K(x,T(u / y,T(T(z,y),y))). [para(3921(a,1),13509(a,1,2,1))]. 13511 K(x,T(y,z) \ ((z * y) * (u / (y * T(z,y))))) = K(x,T(u / y,T(T(z,y),y))). [para(113(a,1),13510(a,1,2,2,1))]. 13512 K(x,T(y,z) \ ((z * y) * (u / (z * y)))) = K(x,T(u / y,T(T(z,y),y))). [para(113(a,1),13511(a,1,2,2,2,2))]. 13513 K(x,T(y,z) \ ((z * y) * (u / (z * y)))) = K(x,T(u / y,z)). [para(7927(a,1),13512(a,2,2))]. 13515 K(x,(y * z) * T((y * z) \ ((z * K(y,z)) \ (y * z)),u)) = K(x,K(z,T(u,y)) * y). [para(7858(a,1),13484(a,2,2,1))]. 13516 K(x,(y * z) * T((y * z) \ ((z * K(y,z)) \ (y * z)),u)) = K(x,y * K(z,u)). [para(7823(a,1),13515(a,2,2))]. 13517 K(x,(y * z) * T((y * z) \ y,u)) = K(x,y * K(z,u)). [para(4743(a,1),13516(a,1,2,2,1,2))]. 13518 K(x,y * K(z \ 1,u)) = K(x,y * K(z,u)). [para(4961(a,1),13517(a,1,2))]. 13519 K(x * K(y \ 1,z),u) = 1 / K(u,x * K(y,z)). [para(13518(a,1),4894(a,1,2)),flip(a)]. 13520 K(x * K(y \ 1,z),u) = K(x * K(y,z),u). [hyper(228,a,4894,a(flip),b,13519,a)]. 13521 K(x * K(x \ y,z),T(u,y)) = K(y * T(x / y,z),u). [hyper(228,a,12351,a(flip),b,13520,a(flip))]. 13522 K(((x * (y \ z)) / x) * y,u) = K(y * T(z / y,x),u). [hyper(228,a,13488,a,b,13521,a(flip)),flip(a)]. 13523 K(((x * y) / x) / z,u) = K((z \ 1) * T((z \ y) / (z \ 1),x),u). [hyper(12824,a,13522,a)]. 13524 K(x \ T((x \ y) * x,z),u) = K(((z * y) / z) / x,u). [hyper(228,a,12412,a(flip),b,13523,a),flip(a)]. 13525 K(T(x \ T(y,z),x),u) = K(((z * y) / z) / x,u). [para(4478(a,1),13524(a,1,1))]. 13526 K(((x * y) / x) / z,u) = K(T(y,x) / z,u). [hyper(8171,a,13525,a),flip(a)]. 13527 K(T(x * K(y,x),z) / z,u) = K(T(x,y) / T(z,T(x,y)),u). [hyper(228,a,9847,a,b,13526,a(flip)),flip(a)]. 13528 K(T(x,y) / T(z,T(x,y)),u) = K(z \ (x * K(y,x)),u). [hyper(12659,a,13527,a),flip(a)]. 13529 K(x \ (y * K(z,y)),u) = K(x \ T(y,z),u). [hyper(12660,a,13528,a),flip(a)]. 13530 K(x \ T(T(y,z),z),u) = K(x \ y,u). [para(4824(a,1),13529(a,1,1,2)),flip(a)]. 13531 K(x,y \ T(T(z,u),u)) = 1 / K(y \ z,x). [para(13530(a,1),4894(a,1,2)),flip(a)]. 13532 K(x,y \ T(T(z,u),u)) = K(x,y \ z). [hyper(228,a,4894,a(flip),b,13531,a)]. 13533 K(x,y \ T(z * (u / T(z,u)),z)) = K(x,y \ (z * (u / z))). [para(3961(a,1),13532(a,1,2,2,1))]. 13534 K(x,y \ (z * K(u,z))) = K(x,y \ T(z,u)). [para(4674(a,1),13532(a,1,2,2,1)),flip(a)]. 13535 K(x,(y \ z) \ K(u,y)) = K(x,z \ T(y,u)). [hyper(228,a,5937,a,b,13534,a(flip)),flip(a)]. 13536 K(x,(y \ z) \ K(u \ 1,y)) = K(x,z \ T(y,1 / u)). [para(2853(a,1),13535(a,1,2,2))]. 13537 K(x,y \ ((z / T(u,z)) * u)) = K(x,y \ (u * (z / u))). [hyper(228,a,12532,a(flip),b,13533,a(flip)),flip(a)]. 13538 K(x,y \ (z * (u / z))) = K(x,y \ T(u,z)). [para(3922(a,1),13537(a,1,2,2)),flip(a)]. 13539 K(x,T(y,z) \ T(u,z * y)) = K(x,T(u / y,z)). [hyper(228,a,13513,a(flip),b,13538,a(flip))]. 13540 K(x,T(y * z,(y * z) \ z) \ T(u,z * K(y \ 1,z * y))) = K(x,T(u / (y * z),(y * z) \ z)). [para(6151(a,1),13539(a,1,2,2,2))]. 13541 K(x,T(y / z,T(T(z \ (u \ z),T(u,w)),z))) = K(x,T(y / z,y / (u \ z))). [para(9993(a,1),13494(a,2,2))]. 13542 K(x,T(y / z,T((u \ z) / z,T(u,w)))) = K(x,T(y / z,y / (u \ z))). [para(7930(a,1),13541(a,1,2))]. 13543 K(x,T(y / z,y / (u \ z))) = K(x,T(y / z,u \ 1)). [para(9556(a,1),13542(a,1,2)),flip(a)]. 13544 K(x,T(y / z,y / (u \ z))) = K(x,T(y / z,u)). [hyper(228,a,8136,a(flip),b,13543,a)]. 13546 K(x,T(y,z) \ ((z \ y) * (u / (z \ y)))) = K(x,T(u / y,z)). [hyper(228,a,13381,a(flip),b,13544,a(flip)),flip(a)]. 13547 K(x,T(y,T(y,z) / z) \ (T(z,y) * (u / ((T(y,z) / z) \ y)))) = K(x,T(u / y,T(y,z) / z)). [para(3960(a,1),13546(a,1,2,2,1))]. 13548 K(x,(y * K(z \ 1,u)) \ K(u,K(y,z))) = K(x,(L(K(u,z),y,K(u,z)) * y) \ 1). [para(7250(a,1),13499(a,1,2,2,2))]. 13550 K(x,(y * K(z \ 1,u)) \ K(y,K(z,u))) = K(x,(L(K(u,z),y,K(u,z)) * y) \ 1). [para(7728(a,2),13548(a,1,2,2))]. 13551 K(x,(L(K(y,z),u,K(y,z)) * u) \ 1) = K(x,(K(z \ 1,y) * u) \ 1). [para(8093(a,1),13550(a,1,2)),flip(a)]. 13552 K(x,(L(K(y,z),u,K(y,z)) * u) \ 1) = K(x,u \ K(y,z \ 1)). [hyper(228,a,5570,a(flip),b,13551,a)]. 13553 K(x,(K(y,z) * u) \ 1) = K(x,u \ K(y,z \ 1)). [hyper(228,a,12861,a(flip),b,13552,a(flip)),flip(a)]. 13554 K(x,y \ K(z,u \ 1)) = K(x,y \ K(u,z)). [hyper(5767,a,13553,a),flip(a)]. 13558 K(x,y \ K(z \ 1,u)) = K(x,y \ K(z,u)). [hyper(228,a,13506,a,b,13554,a(flip)),flip(a)]. 13559 K(x,(y \ z) \ K(u,y)) = K(x,z \ T(y,1 / u)). [hyper(228,a,13536,a(flip),b,13558,a(flip))]. 13560 K(x,y \ T(z,1 / u)) = K(x,y \ T(z,u)). [hyper(228,a,13535,a(flip),b,13559,a(flip))]. 13561 K(x,y \ T(z,u \ 1)) = K(x,y \ T(z,u)). [para(61(a,1),13560(a,1,2,2,2)),flip(a)]. 13562 K(x,y \ T(z,u \ (w \ u))) = K(x,y \ T(z,T(w,u))). [para(8452(a,1),13561(a,1,2,2))]. 13563 K(x,T(y,z \ y) \ (T(z,y) * (u / ((T(y,z) / z) \ y)))) = K(x,T(u / y,T(y,z) / z)). [para(7145(a,1),13547(a,1,2,1))]. 13564 K(x,T(y,z \ y) \ (T(z,y) * (u / T(z,y)))) = K(x,T(u / y,T(y,z) / z)). [para(3960(a,1),13563(a,1,2,2,2,2))]. 13566 K(x,T(y,z) \ (T(z,y) * (u / T(z,y)))) = K(x,T(u / y,T(y,z) / z)). [hyper(228,a,13483,a(flip),b,13564,a(flip)),flip(a)]. 13567 K(x,T(y,z) \ (T(z,y) * (u / T(z,y)))) = K(x,T(u / y,z \ y)). [para(12460(a,1),13566(a,2,2))]. 13568 K(x,T(y,z) \ T(u,T(z,y))) = K(x,T(u / y,z \ y)). [hyper(228,a,13538,a(flip),b,13567,a(flip)),flip(a)]. 13569 K(x,(((y * z) \ z) \ z) \ T(u,z * K(y \ 1,z * y))) = K(x,T(u / (y * z),(y * z) \ z)). [hyper(228,a,12511,a(flip),b,13540,a(flip)),flip(a)]. 13570 K(x,(((y * z) \ z) \ z) \ T(u,z * K(y,z * y))) = K(x,T(u / (y * z),(y * z) \ z)). [para(13490(a,1),13569(a,1,2,2))]. 13571 K(x,(((y * z) \ z) \ z) \ T(u,z * K(y,y * z))) = K(x,T(u / (y * z),(y * z) \ z)). [para(5433(a,1),13570(a,1,2,2,2,2))]. 13572 K(x,(((y * z) \ z) \ z) \ T(u,z * K(z,y))) = K(x,T(u / (y * z),(y * z) \ z)). [para(13466(a,1),13571(a,1,2,2))]. 13573 K(x,(((y * z) \ z) \ z) \ T(u,T(z,y))) = K(x,T(u / (y * z),(y * z) \ z)). [para(4705(a,2),13572(a,1,2,2,2))]. 13574 K(x,T(y * z,z) \ T(u,T(z,y))) = K(x,T(u / (y * z),(y * z) \ z)). [hyper(12527,a,13573,a)]. 13575 K(x,T(y / (z * u),(z * u) \ u)) = K(x,(u * z) \ T(y,T(u,z))). [hyper(228,a,13455,a(flip),b,13574,a(flip))]. 13576 K(x,T(y / (z * u),u \ (z \ u))) = K(x,(u * z) \ T(y,T(u,z))). [para(8451(a,1),13575(a,1,2))]. 13577 K(x,(y * z) \ T(u,T(y,z))) = K(x,T(u / (z * y),T(z,y))). [hyper(8455,a,13576,a),flip(a)]. 13578 K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,(z * K(u \ 1,z * u)) \ T(y,T((z * u) \ z,z * u))). [para(4963(a,1),13577(a,1,2,1)),flip(a)]. 13579 K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,(z * K(u \ 1,z * u)) \ T(y,z / (z * u))). [para(7928(a,1),13578(a,2,2,2))]. 13580 K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,(z * K(u \ 1,z * u)) \ T(y,z \ (u \ z))). [para(8540(a,1),13579(a,2,2,2))]. 13581 K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,(z * K(u \ 1,z * u)) \ T(y,T(u,z))). [hyper(228,a,13562,a(flip),b,13580,a)]. 13582 K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,(z * K(z * u,u)) \ T(y,T(u,z))). [hyper(228,a,13498,a(flip),b,13581,a)]. 13583 K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,(z * K(z,u)) \ T(y,T(u,z))). [hyper(228,a,12860,a(flip),b,13582,a)]. 13584 K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,T(z,u) \ T(y,T(u,z))). [para(4705(a,2),13583(a,2,2,1))]. 13585 K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,T(y / z,u \ z)). [hyper(228,a,13568,a(flip),b,13584,a)]. 13586 K(x,T(y / z,T(z * u,(z * u) \ z))) = K(x,T(y / z,u \ z)). [para(14(a,1),13585(a,1,2,1,2))]. 13587 K(x,T(y / z,T(z * u,z))) = K(x,T(y / z,u \ z)). [para(7092(a,1),13586(a,1,2))]. 13588 K(x,T(y / z,u \ z)) = K(x,T(y / z,u * z)). [para(12358(a,1),13587(a,1,2)),flip(a)]. 13589 K(x,T((y * z) / z,u * z)) = K(x,T(y,u \ z)). [para(15(a,1),13588(a,1,2,1)),flip(a)]. 13590 K(x,T(y / z,(z / u) * z)) = K(x,T(y / z,u)). [para(64(a,1),13588(a,1,2,2)),flip(a)]. 13591 K(x,T(y,z \ u)) = K(x,T(y,z * u)). [para(15(a,1),13589(a,1,2,1)),flip(a)]. 13592 K(x,T(y,z * (u \ z))) = K(x,T(y,T(u,z))). [hyper(8455,a,13591,a),flip(a)]. 13593 K(x,T(y,z \ u)) = K(x,T(y,u * z)). [hyper(8188,a,13591,a)]. 13598 K(x,T(y,K(z,u)) \ T(w * y,K(z,u))) = K(x,T(w,K(z,u) \ y)). [para(13501(a,2),13593(a,2,2)),flip(a)]. 13602 K(x,T(y / z,z * (u \ z))) = K(x,T(y / z,u)). [para(12541(a,1),13590(a,1,2))]. 13603 K(x,T(y / z,T(u,z))) = K(x,T(y / z,u)). [hyper(228,a,13592,a(flip),b,13602,a(flip)),flip(a)]. 13605 K(x,T(y / z,u)) * K(z \ y,T(x,u)) = K(x,K(y,z)). [para(13603(a,1),11853(a,1,1))]. 13606 K(x,K(y,T(z,u))) = K(z,K(x,y)). [hyper(10920,a,13605,a)]. 13607 K(x,K(y,T(z,u))) = K(x,K(z,y)). [hyper(8005,a,13606,a)]. 13608 K(x,K(y,T(z,u))) = K(x,K(y,z)). [hyper(7955,a,13606,a)]. 13611 K(x,K(y,T(z,u))) != w | K(x,K(y,z)) = w. [para(13606(a,2),7760(a,1))]. 13612 K(x * y,K(z,u)) = K(z,K(u,y * x)). [para(12365(a,1),13606(a,1,2)),flip(a)]. 13613 K(x,K(y,z / u)) = K(x,K(y,u \ z)). [hyper(7958,a,13607,a),flip(a)]. 13614 K(x,K(y \ z,u)) = K(x,K(u,z / y)). [para(7170(a,1),13607(a,1,2))]. 13615 K(x,K(y,z / u)) != w | K(x,K(y,u \ z)) = w. [para(13607(a,1),7958(a,1))]. 13616 K(x,K(y,(z \ u) * z)) = K(x,K(u,y)). [para(12369(a,2),13607(a,1,2))]. 13617 T(K(x,K(y,z)),u) = K(x,K(y,z)). [hyper(8333,a,13608,a)]. 13618 K(K(x,y),T(z,u)) = K(x,K(y,z)). [hyper(7703,a,13608,a)]. 13621 K(x,T(L(K(y,z),u,w),v5)) = K(x,K(z,1 / L(1 / y,u,w))). [hyper(228,a,8011,a(flip),b,13608,a(flip)),flip(a)]. 13623 K(x,K(y,z)) * u = u * K(x,K(y,z)). [para(13608(a,1),7291(a,1,2)),flip(a)]. 13624 K(x,K(y,L(z / u,u,w))) = K(x,K(y,(w * u) \ (w * z))). [para(7912(a,1),13608(a,1,2))]. 13626 K(x,K(y,z * u)) = K(x,K(y,u * z)). [para(12365(a,1),13608(a,1,2))]. 13628 K(x,K(y,K(z,u))) = 1. [hyper(70,a,13617,a,b,4655,a),flip(a)]. 13629 T(x,K(y,K(z,u))) = x. [hyper(35,a,13617,a)]. 13633 L(x,y * z,K(z,y)) = ((x * (K(u,K(w,v5)) * v6)) * 1) / (v6 * K(u,K(w,v5))). [para(13628(a,1),11036(a,2,1,2))]. 13634 T(x,K(y,z) * u) = T(x,u * K(y,z)). [hyper(12374,a,13629,a)]. 13635 K(x,T(y,K(z,u))) = K(x,y). [hyper(8774,a,13629,a)]. 13636 T(x,T(y,K(z,u))) = T(x,y). [hyper(7672,a,13629,a)]. 13638 T(x,K(y,z) * u) != w | T(x,u * K(y,z)) = w. [para(13629(a,1),12376(a,1,1))]. 13639 T(x / (y * K(z,K(u,w))),y) = (K(z,K(u,w)) * y) \ x. [para(13629(a,1),13404(a,2,2))]. 13640 K(((x \ y) * x) / (K(z,u) * x),w) = K((x * K(z,u)) \ y,w). [hyper(13382,a,13635,a)]. 13641 K(x,K(y,z) * u) = K(x,u * K(y,z)). [hyper(12378,a,13635,a)]. 13644 K(x,K(y,z) / u) = K(x,u \ K(y,z)). [hyper(8176,a,13635,a)]. 13647 K(L((x \ y) / K(z,u),K(z,u),x),w) = K((x * K(z,u)) \ y,w). [hyper(228,a,7905,a,b,13635,a(flip)),flip(a)]. 13650 K(x,K(y,z) \ u) = K(x,u * K(z,y)). [para(5080(a,1),13635(a,1,2))]. 13651 K(x,T(y,L(K(z,u),w,v5))) = K(x,y). [para(6100(a,1),13635(a,1,2,2))]. 13652 K(x,y) * K(z,u) = K(z,u) * K(x,y). [para(13635(a,1),7174(a,1,2))]. 13654 K(x,y) \ K(z,u) = K(z,u) * K(y,x). [para(13635(a,1),7270(a,1,2)),flip(a)]. 13658 K(x,K(y,z) / u) != w | K(x,u \ K(y,z)) = w. [para(13635(a,1),7191(a,1))]. 13659 K(x,T(y,T(z,u))) = K(x,T(y,z)). [para(7663(a,1),13635(a,1,2))]. 13661 K(x,T(y,K(z,u))) != w | K(x,y) = w. [para(13635(a,1),7908(a,1))]. 13665 K(x,y) * (K(z,u) * x) = K(z,u) * T(x,y). [para(13635(a,1),8225(a,1,1))]. 13666 K(x,T(y,z) * T(u,y)) = K(x,u * T(y,z)). [para(8273(a,1),13635(a,1,2))]. 13669 K(x,T(y,z / u)) = K(x,T(y,u \ z)). [para(8552(a,1),13635(a,1,2)),flip(a)]. 13673 K(x,y * K(z,u)) != w | K(x,K(z,u) * y) = w. [para(13635(a,1),12378(a,1))]. 13674 T(K(x,y) * z,T(u,z)) = T(K(x,y) * z,u). [hyper(8220,a,13636,a)]. 13677 T(x,(T(y,z) \ u) * K(y,z)) = T(x,y \ u). [para(6004(a,2),13636(a,1,2))]. 13680 x * (K(y,z) * K(x,u)) = T(x,u) * K(y,z). [para(13636(a,1),7887(a,1,1)),flip(a)]. 13683 T(x,T(y,z * u)) = T(x,T(y,u * z)). [para(12372(a,1),13636(a,1,2))]. 13684 K((x * K(y,z)) \ u,T(w,x)) = K(((K(y,z) \ u) * K(y,z)) / (K(y,z) * x),w). [para(13636(a,1),13410(a,1,2))]. 13685 K(x,K(y,z)) * (u * K(x,y)) = u * T(K(x,y),z). [para(13618(a,1),8225(a,1,1))]. 13690 K(x,T(y,T(z,u))) = T(K(x,y),z). [hyper(228,a,7152,a(flip),b,13659,a)]. 13697 K(x,T(y,T(z,u))) != w | K(x,T(y,z)) = w. [para(13690(a,2),7634(a,1))]. 13700 K(x,T(y,L(K(z,u),w,v5))) != v6 | K(x,y) = v6. [para(13651(a,1),7908(a,1))]. 13701 K(x,y * K(z,u)) != w | K(x,K(u,z) \ y) = w. [para(5988(a,1),13661(a,1,2))]. 13703 K(x,T(y,z \ u)) != w | K(x,T(y,u / z)) = w. [para(8552(a,1),13661(a,1,2))]. 13705 K(x,T(y,z * u)) != w | K(x,T(y,u * z)) = w. [para(12372(a,1),13661(a,1,2))]. 13708 K(x,K(y,z * u)) != w | K(y,K(x,u * z)) = w. [para(13612(a,1),7715(a,1))]. 13710 K(x,K(y,z * u)) != w | K(x,K(y,u * z)) = w. [para(13612(a,1),7760(a,1))]. 13711 K(x,K(y,z / u)) = K(x,K(y,z \ u)). [hyper(8181,a,13613,a)]. 13712 K(x,K(y \ (1 / z),L(y / u,u,z))) = K(x,K(y / u,K(z,1 / z) / (z * y))). [hyper(228,a,9031,a,b,13613,a),flip(a)]. 13713 K(x,K(y \ (z \ u),L(w,y,z))) = K(x,K(x / w,u / (z * y))). [hyper(228,a,8602,a,b,13613,a),flip(a)]. 13714 K(x,K(y,(1 / z) * u)) = K(x,K(y,u / z)). [para(5551(a,2),13613(a,2,2)),flip(a)]. 13715 K(x,K(y \ z,u)) != w | K(x,K(z / y,u)) = w. [para(13614(a,2),7771(a,1))]. 13716 K(x,K(y / z,(z \ u) * y)) = K(x,K(u,y / z)). [hyper(228,a,10616,a(flip),b,13616,a(flip)),flip(a)]. 13717 (x \ y) * K(x,K(z,u)) = T(x,K(z,u)) \ y. [hyper(7769,a,13623,a),flip(a)]. 13718 K(x,K(y,z)) \ u = u * K(x,K(y,z)). [hyper(7766,a,13623,a)]. 13719 K(x,K(y,L(z,u,w))) * (w * u) = w * (u * K(x,K(y,z))). [hyper(228,a,8508,a(flip),b,13623,a)]. 13720 K(x,K(y,z)) * (u / x) = u / T(x,K(y,z)). [hyper(228,a,7765,a(flip),b,13623,a)]. 13721 (x * (K(y,K(z,u)) * w)) \ ((x * K(y,K(z,u))) * (L(w,K(y,K(z,u)),x) * v5)) = L(v5,L(w,K(y,K(z,u)),x),K(y,K(z,u)) * x). [para(13623(a,2),446(a,2,3))]. 13723 K(x,K(y,(1 / z) * u)) != w | K(x,K(y,u / z)) = w. [para(13626(a,1),11447(a,1))]. 13724 T(x,K(y,z) * (u \ y)) = T(x,u \ T(y,z)). [para(6265(a,1),13634(a,2,2))]. 13725 K(x,y * K(z \ 1,u)) = K(x,K(z,u) * y). [hyper(13473,a,13641,a),flip(a)]. 13726 K(x,K(y,z) * (u \ 1)) = K(x,u \ K(y,z)). [hyper(228,a,5543,a(flip),b,13641,a)]. 13727 K(x,K(y,z) \ u) = K(x,u * K(y,z)). [hyper(228,a,13436,a,b,13641,a(flip)),flip(a)]. 13728 K(x,K(y,L(z,u,w)) * (w * u)) = K(x,w * (u * K(y,z))). [para(11397(a,1),13641(a,2,2))]. 13729 K(x,T(1 / (y * z),y)) = K(x,K(z,1 / z) / (z * y)). [hyper(228,a,13349,a,b,13644,a),flip(a)]. 13730 K(x,K(y,z) \ (u / y)) = K(x,u / T(y,z)). [para(5205(a,1),13650(a,2,2))]. 13731 K(x,K(y,z) \ (u / z)) = K(x,u / ((y * z) / y)). [para(6629(a,2),13650(a,2,2))]. 13737 K(x,y) \ K(z,u) = K(u,z) \ K(y,x). [hyper(228,a,5035,a,b,13654,a)]. 13738 K(a(x,y,y \ (z \ 1)),T(u,x \ z)) = K((z / x) / ((z * y) / (x * y)),u). [hyper(13421,a,13669,a),flip(a)]. 13740 x \ (y * (K((y \ x) / (z / y),u) * (y \ x))) = K(((y \ x) * y) / z,T(u,x / y)). [hyper(228,a,13341,a,b,13669,a),flip(a)]. 13742 T(x,y) \ T(T(x,z * u),T(y,u * z)) = K(x,z * u). [para(13683(a,1),7933(a,1,2))]. 13743 K(x,K(y,(z * u) / (z * (u * w)))) = K(x,K(y,L(w,u,z))). [para(28(a,2),13711(a,2,2,2))]. 13744 K(x,K(y,(z * (1 / u)) / w)) = K(x,K(y,(u / z) * w)). [para(6196(a,1),13711(a,2,2))]. 13746 K(x,K(y,z) \ (u / z)) = K(x,u / T(z,y)). [para(5205(a,1),13727(a,2,2))]. 13747 L(K(x,y),z,u) \ K(w,v5) = K(v5,w) \ K(L(y,z,u),x). [para(11389(a,2),13737(a,1,1))]. 13748 K(x,K(T(y,z),u)) != w | K(x,K(y,u)) = w. [para(7202(a,2),13611(a,1,2))]. 13749 K(x,K(y * z,u)) != w | K(x,K(z * y,u)) = w. [para(12338(a,1),13611(a,1,2))]. 13752 K(x,T(y,z * (u \ z))) != w | K(x,T(y,u)) = w. [para(13592(a,2),13697(a,1))]. 13755 (K(x,y) * T(z,u)) \ (K(z,u) * ((K(x,y) * z) * w)) = L(w,K(x,y) * z,K(z,u)). [para(13665(a,1),28(a,2,1)),flip(a)]. 13756 K(x,L(y,K(z,u) * x,w)) * ((K(z,u) * x) * w) = (K(z,u) * T(x,y)) * w. [para(13665(a,1),13325(a,2,1))]. 13758 T(x,(R(T(y,z),u,w) \ v5) * K(R(y,u,w),z)) = T(x,R(y,u,w) \ v5). [para(42(a,2),13677(a,1,2,1,1))]. 13759 K(T(x,y) \ 1,T(x,y)) * K(x,y) = x \ T(1 / (1 / x),y). [hyper(71,a,2328,a(flip),b,13680,a),flip(a)]. 13761 K(x,K(y,L(z,u,w)) * (w * u)) = K(x,w * (u * K(y \ 1,z))). [para(11397(a,1),13725(a,1,2)),flip(a)]. 13762 K(x,K(y,z) * T(u * w,w \ (u \ 1))) = K(x,(w \ (u \ 1)) \ K(y,z)). [para(764(a,2),13726(a,1,2,2))]. 13763 K(x * (y \ K(x,z)),y / T(x,z)) = K(y \ x,x \ y). [hyper(228,a,10528,a(flip),b,13730,a(flip))]. 13768 K(x,K(y,z) \ u) != w | K(x,K(z,y) \ u) = w. [para(13727(a,2),13701(a,1))]. 13770 K(x,T(y,z / (1 / u))) != w | K(x,T(y,u * z)) = w. [para(5667(a,2),13705(a,1,2))]. 13772 K(x,K(y,(z * u) * w)) != v5 | K(x,K(y,(u * w) * R(z,u,w))) = v5. [para(109(a,1),13710(a,1,2,2))]. 13776 K(x,K(y,z)) * (u * K(x,y)) = u * K(x,T(y,z)). [hyper(228,a,7172,a,b,13685,a)]. 13777 K(x,y / ((z * u) / z)) = K(x,y / T(u,z)). [hyper(228,a,13746,a(flip),b,13731,a(flip))]. 13780 K(x,K(y,z)) * (u * K(x,y)) != u * w | K(x,T(y,z)) = w. [para(13776(a,2),19(a,1))]. 13781 T((x * (K(y,K(z,u)) * w)) / (w * K(y,K(z,u))),w) = T(x,K(y,K(z,u)) * w). [hyper(228,a,32,a,b,13639,a)]. 13782 K(x,T(1 / (y * z),y)) = K(x,1 / (z * y)). [hyper(228,a,5395,a(flip),b,13729,a)]. 13783 K(x,y / (y * (y * z))) = K(x,1 / (z * y)). [hyper(8354,a,13782,a)]. 13785 K(x,K(y,((z \ 1) / u) * w)) = K(x,K(y,(u * z) / w)). [para(61(a,1),13744(a,1,2,2,1,2)),flip(a)]. 13786 K(x,y) \ K(L(x,z,u),y) = a(K(x,y),z,u). [hyper(228,a,13027,a(flip),b,13747,a(flip))]. 13787 K(x,K(y,L(z / u,u,w))) = K(x,K(y,(w * z) / (w * u))). [hyper(228,a,13613,a,b,13624,a)]. 13788 (K(x,1 / K(y,z)) * u) * T(w,u) = w * (u * K(x,K(y,z))). [hyper(228,a,13370,a(flip),b,13719,a(flip)),flip(a)]. 13789 K(x,K(y,(z / u) * (u * ((1 / z) * w)))) = K(x,K(y,L(w,1 / z,u))). [hyper(228,a,13744,a(flip),b,13743,a(flip)),flip(a)]. 13791 K(x,K(y,(z * (u * w)) / (z * w))) = K(x,K(y,L(u,w,z))). [para(15(a,1),13787(a,1,2,2,1)),flip(a)]. 13792 K(x,K(y,T(L(z,u / z,w),u / z))) = K(x,K(y,(w * u) / (w * (u / z)))). [para(7913(a,2),13787(a,1,2))]. 13795 K(x,T(L(K(y,z),u,w),v5)) = K(x,1 / L(K(y,z),u,w)). [para(6139(a,1),13621(a,2,2))]. 13796 K(x,T(L(K(y,z),u,w),v5)) = K(x,L(K(y,z),u,w)). [hyper(228,a,8600,a(flip),b,13795,a)]. 13797 K(x,T(L(K(y,z),u,w),v5)) != v6 | K(x,K(z,L(y,u,w))) = v6. [para(13796(a,2),8684(a,1))]. 13798 K((x * y) / (K(z,u) * y),w) = K((y * K(z,u)) \ (y * x),w). [para(13(a,1),13640(a,1,1,1,1))]. 13799 K(T(x,y) \ 1,T(x,y)) * K(x,y) = K(x \ (y \ 1),x). [hyper(228,a,6285,a(flip),b,13759,a)]. 13800 L(x,y,K(z \ (u \ 1),z)) = L(x,y,K(z,u)). [para(13799(a,1),3696(a,1,3))]. 13801 L(x,y,K(z \ ((u \ 1) * w),z)) = L(x,y,K(z,w \ u)). [para(6191(a,1),13800(a,1,3))]. 13802 L(x,y,K((z \ 1) * (u \ w),u)) = L(x,y,K(u,w \ z)). [para(11339(a,1),13801(a,1,3))]. 13803 L(x,y,K(z \ (u \ w),u)) = L(x,y,K(u,w \ z)). [para(5635(a,1),13802(a,1,3))]. 13804 (K(x,K(y,z)) * u) * T(w,u) = w * (u * K(x,K(z,y))). [para(4894(a,1),13788(a,1,1,1,2))]. 13805 (K(x,K(y,z)) * u) * T(w,u) = w * (u * K(x,K(y,z))). [para(7741(a,1),13804(a,1,1,1))]. 13806 T(K(x,K(y,z)) * u,T(w,u)) = T(u,w) * K(x,K(y,z)). [hyper(171,a,13805,a,b,4215,a)]. 13808 T(K(x,K(y,z)) * u,w) = T(u,w) * K(x,K(y,z)). [hyper(228,a,13674,a(flip),b,13806,a(flip)),flip(a)]. 13809 T(K(x,K(y,z)) * u,w) = K(x,K(y,z)) * T(u,w). [hyper(228,a,13623,a,b,13808,a)]. 13810 T(x * K(y,K(z,u)),w) = T(x,w) * K(y,K(z,u)). [para(13623(a,1),13808(a,1,1))]. 13811 (K(x,K(y,z)) * u) * K(u,w) = T(K(x,K(y,z)) * u,w). [hyper(228,a,5199,a,b,13809,a),flip(a)]. 13813 (x * (T(y,z) * K(u,K(w,v5)))) \ (x * (y * K(u,K(w,v5)))) = K(z,y * K(u,K(w,v5))). [para(13810(a,1),5157(a,1,1,2))]. 13815 K(K(x,K(y,z)) * u,w) = K(u,w). [hyper(17,a,4705,a(flip),b,13811,a),flip(a)]. 13816 K(T(x,K(y,z)) / u,w) = K(x / u,w). [para(6190(a,1),13815(a,1,1))]. 13817 K((K(x,y) * z) \ u,w) = K((z * K(x,y)) \ u,w). [para(9563(a,1),13815(a,1,1)),flip(a)]. 13818 K(x / T(y,K(z,u)),w) = K(x / y,w). [para(13720(a,1),13815(a,1,1))]. 13819 K((x * y) \ z,T(u,y)) = K(((x \ z) * x) / T(y * x,K(w,v5)),u). [hyper(228,a,13345,a,b,13818,a),flip(a)]. 13820 K(L((x \ y) * K(z,u),K(u,z),x),w) = K((x * K(u,z)) \ y,w). [para(5063(a,1),13647(a,1,1,1))]. 13822 K(x,K(y \ (z \ u),L(w,y,z))) = K(x,K(w,u / (z * y))). [hyper(228,a,8068,a(flip),b,13713,a)]. 13823 K(x,K((y \ z) / u,L(w,u,y))) = K(x,K(w,z / (y * u))). [hyper(13715,a,13822,a)]. 13824 K(x,K(T(y,z) / u,L(w,u,z))) = K(x,K(w,(y * z) / (z * u))). [para(32(a,2),13823(a,1,2,1,1))]. 13825 K(x,y * (z * K(u \ 1,w))) = K(x,y * (z * K(u,w))). [hyper(228,a,13728,a(flip),b,13761,a(flip))]. 13826 K(x,y * (((z * (u \ 1)) / z) \ 1)) = K(x,y * (u * K(u,z))). [hyper(228,a,6809,a,b,13825,a(flip)),flip(a)]. 13827 K(x,y * (((z * (u \ 1)) / z) \ 1)) = K(x,y * T(u,z)). [para(4705(a,2),13826(a,2,2,2))]. 13828 K(x,y / ((z * (u \ 1)) / z)) = K(x,y * T(u,z)). [hyper(5754,a,13827,a)]. 13829 K(x,y / T(z \ 1,u)) = K(x,y * T(z,u)). [hyper(228,a,13777,a(flip),b,13828,a(flip)),flip(a)]. 13830 K(x,y * ((z \ u) * z)) = K(x,y * T(u,z)). [hyper(228,a,6705,a(flip),b,13829,a(flip)),flip(a)]. 13831 K(x,y * T(z * u,z)) = K(x,y * (u * z)). [para(13(a,1),13830(a,1,2,2,1)),flip(a)]. 13832 K(x \ 1,y * ((x \ 1) \ z)) = K(x \ 1,y * (z * x)). [hyper(228,a,12508,a(flip),b,13831,a(flip)),flip(a)]. 13833 K(x \ 1,(y * z) * x) = K(x \ 1,y * (z * x)). [hyper(10591,a,13832,a)]. 13834 K(x,T(y,K(z,u)) \ T(w * y,K(z,u))) = K(x,T(w,K(u,z) * y)). [para(5035(a,1),13598(a,2,2,2))]. 13835 K(((x \ y) * x) / T(L(K(z,u),w,v5) * x,K(v6,v7)),v8) = K((x * L(K(z,u),w,v5)) \ y,v8). [hyper(13700,a,13819,a),flip(a)]. 13836 T(x,(R(T(y,z),u,w) \ v5) * K(y,L(z,u,w))) = T(x,R(y,u,w) \ v5). [para(13316(a,1),13758(a,1,2,2))]. 13837 T(x,R(T(y,z),u,w) \ T(y,L(z,u,w))) = T(x,R(y,u,w) \ y). [para(6265(a,1),13836(a,1,2))]. 13838 L(x,y * z,K(z,y)) = (x * (K(u,K(w,v5)) * v6)) / (v6 * K(u,K(w,v5))). [para(12(a,1),13633(a,2,1))]. 13839 (x * (K(y,K(z,u)) * w)) / (w * K(y,K(z,u))) = x. [hyper(13399,a,13838,a)]. 13840 a(x,y,K(y \ (z \ 1),T(u,x \ z))) = K((z / x) / ((z * y) / (x * y)),u). [hyper(13052,a,13738,a)]. 13841 K(L(x,K(y,z),u),w) * ((K(y,z) * x) * u) = (K(y,z) * T(x,w)) * u. [para(11392(a,1),13756(a,1,1))]. 13842 K(x,T(L(K(y,z),u,w),u / z)) = K(x,K(y,(w * u) / (w * (u / z)))). [para(7193(a,1),13792(a,1,2))]. 13843 K(x,K(y,(z * u) / (z * (u / w)))) != v5 | K(x,K(w,L(y,u,z))) = v5. [para(13842(a,1),13797(a,1))]. 13845 K((x * K(y,z)) \ u,T(w,x)) = K((K(y,z) * (u / K(y,z))) / (K(y,z) * x),w). [para(7812(a,1),13684(a,2,1,1))]. 13846 T(x,K(y,K(z,u)) * w) = T(x,w). [para(13839(a,1),13781(a,1,1)),flip(a)]. 13847 T(x,y * K(z,K(u,w))) = T(x,y). [hyper(13638,a,13846,a)]. 13848 K(x,K(y,K(z,u)) * w) = x \ T(x,w). [hyper(71,a,13846,a(flip),b,4705,a(flip)),flip(a)]. 13852 K(x,K(y,K(z,u)) * w) = K(x,w). [hyper(228,a,4649,a,b,13848,a)]. 13853 K(x,T(y,K(z,u)) \ w) = K(x,y \ w). [hyper(228,a,13437,a(flip),b,13852,a(flip)),flip(a)]. 13854 K(x,y * T(z,K(u,w))) = K(x,y * z). [para(5851(a,1),13852(a,1,2))]. 13855 K(x,y \ T(z,K(u,w))) = K(x,y \ z). [para(5848(a,1),13852(a,1,2))]. 13856 K(x,T(y,K(z,u)) / w) = K(x,y / w). [para(6190(a,1),13852(a,1,2))]. 13858 K(x,y \ T(z * y,K(u,w))) = K(x,T(z,K(w,u) * y)). [hyper(228,a,13834,a(flip),b,13853,a(flip))]. 13859 K(x,(K(y,z) * u) \ w) != v5 | K(x,(u * K(y,z)) \ w) = v5. [para(13853(a,1),12528(a,1))]. 13860 K(x,y * (K(z,u) / w)) = K(x,y * (w \ K(z,u))). [hyper(228,a,12509,a(flip),b,13854,a(flip))]. 13861 K(x,y \ (K(z,u) \ w)) = K(x,y \ (w * K(u,z))). [para(5080(a,1),13855(a,1,2,2))]. 13862 K(x,T(y * z,K(u,w)) / y) = K(x,T(z,K(w,u) * y)). [hyper(8165,a,13858,a)]. 13864 K(x,T(y,K(z,u) * w)) = K(x,(w * y) / w). [hyper(228,a,13856,a(flip),b,13862,a(flip))]. 13867 K(x,T(y,K(z,u) * w)) = K(x,T(y,w)). [hyper(228,a,7843,a(flip),b,13864,a)]. 13868 K(x,T(y,z \ K(u,w))) = K(x,T(y,z)). [hyper(13752,a,13867,a),flip(a)]. 13869 K(x,T(y,z * K(u,w))) = K(x,T(y,z)). [hyper(13705,a,13867,a)]. 13874 (K(x,y) * z) * K(u,T(w,z)) != v5 | K(u,w) * (K(x,y) * z) = v5. [para(13867(a,1),7176(a,1,2))]. 13877 K(x,T(y,K(z,u) / w)) = K(x,T(y,w)). [hyper(13703,a,13868,a)]. 13878 K(x,T((y \ K(z,u)) * w,y)) = K(x,w * (y \ K(z,u))). [hyper(12375,a,13868,a),flip(a)]. 13881 K(x,T(y,z / K(u,w))) = K(x,T(y,z)). [para(16(a,1),13869(a,1,2,2)),flip(a)]. 13882 K(x,T(y,z / (u / w))) = K(x,T(y,z / (w \ u))). [para(5230(a,1),13869(a,1,2,2))]. 13885 K(x,T(y,z)) * (z * K(u,w)) = (z * K(u,w)) * K(x,y). [para(13869(a,1),7823(a,1,1))]. 13886 K((x * K(y,z)) \ u,T(w,x)) != v5 | K(u / (x * K(y,z)),w) = v5. [para(13869(a,1),7964(a,1))]. 13891 K(L(x * K(y,x),y,K(z,u)),T(w,y)) != v5 | K((y * K(z,u)) \ ((y * x) * K(z,u)),w) = v5. [para(13869(a,1),13337(a,1))]. 13892 K(x,T(y,z)) * (K(u,w) / z) = (K(u,w) / z) * K(x,y). [para(13877(a,1),7823(a,1,1))]. 13893 T(x,T(y,z / K(u,w))) = x * K(x,T(y,z)). [para(13881(a,1),4705(a,2,2))]. 13894 T(x,T(y,z / K(u,w))) = T(x,T(y,z)). [hyper(228,a,4705,a,b,13893,a)]. 13895 K(x,K(y,z / K(u,w))) = (x \ y) / T(y / x,T(x,z)). [para(13894(a,1),9001(a,1,2)),flip(a)]. 13896 K(x,y) * K(x,K(y,z / (u / w))) = K(x,T(y,z / (w \ u))). [hyper(7987,a,13882,a)]. 13898 K(x,y * (z \ K(u,w))) * z != z * v5 | K(x,(z \ K(u,w)) * y) = v5. [para(13878(a,1),7884(a,1,1))]. 13899 K(x,L(T(y,z),u,w)) * (z * K(v5,v6)) = (z * K(v5,v6)) * K(x,L(y,u,w)). [para(40(a,2),13885(a,1,1,2))]. 13900 K(x,y) * ((1 / y) * K(z,u)) = ((1 / y) * K(z,u)) * K(x,y). [para(3243(a,1),13885(a,1,1))]. 13901 K(x,T(y,z)) / T(z,u) = (K(u,z) / z) * K(x,y). [hyper(228,a,11063,a(flip),b,13892,a(flip)),flip(a)]. 13902 ((1 / x) * K(y,z)) * K(u,x) = (K(u,x) / x) * K(y,z). [hyper(228,a,9384,a,b,13901,a(flip)),flip(a)]. 13903 K(x,K(y,z / K(u,w))) = K(x,K(y,z)). [hyper(228,a,9001,a(flip),b,13895,a)]. 13904 K(x,K(y,K(z,u) \ w)) = K(x,K(y,w)). [hyper(13615,a,13903,a)]. 13905 K(x,K(y,K(z,u) / w)) = K(x,K(y,w)). [hyper(8181,a,13903,a)]. 13906 K(x,K(y,z * K(u,w))) = K(x,K(y,z)). [para(15(a,1),13903(a,1,2,2)),flip(a)]. 13908 K(x,K(y,z / T(u,w))) = K(x,K(y,z / u)). [para(5229(a,1),13903(a,1,2,2)),flip(a)]. 13909 K(x,K(y,K(z,u) * w)) = K(x,K(y,w)). [para(13(a,1),13904(a,1,2,2)),flip(a)]. 13911 K(x,K(y,(z * u) * w)) = K(x,K(y,(u * z) * w)). [para(10996(a,1),13904(a,1,2,2))]. 13912 K(x,K(y,z / ((u * w) / u))) = K(x,K(y,z / w)). [para(13731(a,1),13904(a,1,2))]. 13914 K(x,K(y,K(z,u) / w)) = K(x,K(w,y)). [hyper(228,a,7741,a,b,13905,a)]. 13917 K(x,K(y,z / (u / w))) = K(x,K(y,z / (w \ u))). [para(5230(a,1),13906(a,1,2,2))]. 13918 K(x,K(y,z / (u / (u / w)))) = K(x,K(y,z / w)). [para(6632(a,2),13906(a,1,2,2))]. 13919 K(x,K(y,(z * K(u,w)) * v5)) = K(x,K(y,z * v5)). [para(6715(a,1),13906(a,1,2,2)),flip(a)]. 13920 K(x,K(y,z / (u * w))) = K(x,K(y,z / (w * u))). [para(10493(a,1),13906(a,1,2,2))]. 13921 K(x,K(y,((z * u) / z) * w)) = K(x,K(y,u * w)). [para(5332(a,1),13909(a,1,2,2)),flip(a)]. 13923 K(x,K(y,z * (K(u,w) * v5))) = K(x,K(y,z * v5)). [para(10786(a,1),13909(a,1,2,2)),flip(a)]. 13924 K(x,K(y,L(K(z,u) / w,v5,v6))) = K(x,K(w,L(y,v5,v6))). [hyper(8681,a,13914,a)]. 13925 K(x,K(y * K(z,u),w)) = K(x,K(y,w)). [hyper(8114,a,13914,a),flip(a)]. 13926 K(x,K(K(y,z) / u,w)) = K(x,K(u,w)). [hyper(7771,a,13914,a)]. 13927 K(x,K(y * K(z,u),w)) != v5 | K(x,K(y,w)) = v5. [para(13914(a,1),8114(a,1))]. 13929 K(x,K(y,L(z * K(u,w),v5,v6))) = K(x,K(z,L(y,v5,v6))). [hyper(8520,a,13925,a)]. 13930 K(x,K(T(y,z) / u,w)) = K(x,K(y / u,w)). [para(1390(a,1),13925(a,1,2,1))]. 13934 K(x,K(K(y,z) / u,w)) = K(x,K(u * K(v5,v6),w)). [hyper(228,a,13925,a,b,13926,a)]. 13935 K(x,K(y / z,L(u,z,w))) = K(x,K(u,(y * w) / (w * z))). [hyper(228,a,13824,a(flip),b,13930,a(flip))]. 13937 L(K(x,K(y,z / (u / w))),v5,v6) = K(y,K(z / (w \ u),L(x,v5,v6))). [para(13917(a,2),8504(a,1,1))]. 13938 K(x,K(y,(T(z,u) / w) * v5)) = K(x,K(y,(z / w) * v5)). [para(1390(a,1),13919(a,1,2,2,1))]. 13939 K(x,K(y,(T(z,u) * w) * v5)) = K(x,K(y,(z * w) * v5)). [para(5217(a,1),13919(a,1,2,2,1))]. 13940 K(x,K(y,((z / u) * w) * v5)) = K(x,K(y,((u \ z) * w) * v5)). [para(6230(a,1),13919(a,1,2,2,1))]. 13941 K(x,K(y,(z * K(u,w)) * v5)) != v6 | K(x,K(y,v5 * z)) = v6. [para(13919(a,2),13710(a,1))]. 13942 K(x,K(y,(z * u) / w)) = K(x,K(y,w / (u * z))). [hyper(8181,a,13920,a)]. 13943 K(x,K(y,(K(z,u) * w) / v5)) = K(x,K(y,(1 / v5) * w)). [hyper(13723,a,13923,a)]. 13945 K(x,K(y * K(z,u),L(w,K(v5,v6),v7))) = K(x,K(w,L(K(v5,v6) / y,y,v7))). [hyper(228,a,8959,a(flip),b,13934,a(flip))]. 13946 K(x,K(y,(z * u) / w)) = K(x,K(y,(u * z) / w)). [hyper(228,a,8088,a,b,13942,a)]. 13947 K(x,K(y,z / ((1 / u) * w))) = K(x,K(y,(u / w) * z)). [hyper(228,a,13744,a(flip),b,13942,a(flip))]. 13948 K(x,K(y,z / (u * w))) != v5 | K(x,K(y,z / (w * u))) = v5. [para(13942(a,1),8181(a,1))]. 13949 K(x,K(y,(z * u) / w)) != v5 | K(x,K(y,(u * z) / w)) = v5. [para(13942(a,2),8181(a,1))]. 13950 K(x,K(y,((z * u) * w) / (w * u))) = K(x,K(y,L(z,u,w))). [hyper(228,a,13791,a(flip),b,13946,a)]. 13951 K(x,K(y,((z \ u) * (w * z)) / T(w * u,a(w,z,z \ u)))) = K(x,K(y,a(w,z,z \ u))). [para(885(a,1),13946(a,1,2,2)),flip(a)]. 13952 K(x,K(y,(z * u) / w)) != v5 | K(x,K(y,w / (u * z))) = v5. [para(13946(a,1),8181(a,1))]. 13953 K(x,K(y,L(K(z,u) / w,v5,v6))) = K(x,K(y,L(w,v5,v6))). [hyper(228,a,8507,a,b,13924,a)]. 13955 K(x,K(y,L(K(z,u) * w,v5,v6))) = K(x,K(w,L(y,v5,v6))). [para(7174(a,1),13929(a,1,2,2,1))]. 13956 K(x,K(y,((z / (z / u)) / w) * v5)) = K(x,K(y,(u / w) * v5)). [para(188(a,1),13938(a,1,2,2,1,1)),flip(a)]. 13957 K(x,K(y,z * (T(u,w) * v5))) = K(x,K(y,(u * v5) * z)). [hyper(13710,a,13939,a)]. 13958 K(x,K(y,(K(z,u) * w) / v5)) = K(x,K(y,w / v5)). [hyper(228,a,13714,a(flip),b,13943,a)]. 13959 K(x,K(y,z / (K(u,w) * v5))) = K(x,K(y,v5 / z)). [hyper(8181,a,13958,a)]. 13960 K(x,K(y,(z * T(u,w)) / v5)) = K(x,K(y,(z * u) / v5)). [para(5851(a,1),13958(a,1,2,2,1))]. 13961 K(x,K(y,z / ((K(u,w) * v5) * v6))) = K(x,K(y,(v5 * v6) / z)). [para(6735(a,1),13959(a,1,2,2,2))]. 13962 K(x,K(y,(z * K(u,w)) / v5)) = K(x,K(y,v5 / z)). [para(7892(a,1),13959(a,1,2,2,2)),flip(a)]. 13963 K(x,K(y,z / u)) * (w * K(x,y)) = w * K(x,T(y,(u * K(v5,v6)) / z)). [para(13962(a,1),13776(a,1,1))]. 13964 K(x,K((y / z) * u,L(w,y / z,z))) = K(x,K(w,(u / z) * y)). [hyper(228,a,13361,a,b,13947,a(flip)),flip(a)]. 13965 K(x,K(y,((1 / z) * u) / (((1 / z) * u) * w))) = K(x,K(y,(z / u) * (((1 / z) * u) / w))). [para(8462(a,1),13947(a,1,2))]. 13966 K(x,K(y,((z / (z / ((u / z) \ 1))) / w) * v5)) = K(x,K(y,v5 / (((z / (z / u)) / z) * w))). [para(11186(a,1),13947(a,1,2,2,2,1)),flip(a)]. 13967 K(x,K(y,z / (T(u,w) * v5))) = K(x,K(y,(v5 * u) / z)). [hyper(228,a,13942,a(flip),b,13960,a(flip)),flip(a)]. 13968 K(x,K(y,(z * (u / w)) / v5)) = K(x,K(y,v5 / ((w \ u) * z))). [para(115(a,1),13967(a,1,2,2,2,1)),flip(a)]. 13970 K(x,K(y / (z \ u),L(w,u,z))) = K(x,K(w,(y * z) / (z * (z \ u)))). [hyper(228,a,13133,a(flip),b,13935,a(flip)),flip(a)]. 13971 K(x,K(T(R(y,K(z,u),w),K(z,u)),L(v5,K(z,u) * w,v6))) = K(x,K(v5,(((K(z,u) * y) * w) * v6) / (v6 * (K(z,u) * w)))). [para(7799(a,1),13935(a,1,2,1))]. 13972 K(x,K(y,z * T(u,w))) != v5 | K(x,K(y,u * z)) = v5. [para(5177(a,1),13941(a,1,2,2))]. 13973 K(x,K(y,(z / T(u,w)) * v5)) != v6 | K(x,K(y,v5 * (z / u))) = v6. [para(5205(a,1),13941(a,1,2,2,1))]. 13974 K(x,K(y,z * (u * K(w,v5)))) != v6 | K(x,K(y,z * u)) = v6. [para(13626(a,1),13941(a,1))]. 13975 K(x,K(y,z * (u * w))) != v5 | K(x,K(y,z * (w * u))) = v5. [para(93(a,1),13974(a,1,2,2,2))]. 13976 K(x,K(y,z * (u * (w * (v5 / w))))) != v6 | K(x,K(y,z * (u * v5))) = v6. [para(8441(a,1),13974(a,1,2,2,2))]. 13978 ((1 / x) * K(y,z)) * K(u,x) = K(u,x) / (K(z,y) * x). [hyper(228,a,11069,a(flip),b,13900,a(flip))]. 13979 K(x,y) / (K(z,u) * y) = (K(x,y) / y) * K(u,z). [hyper(228,a,13902,a(flip),b,13978,a(flip))]. 13980 K(x,L(K(y,z),K(u,w) / w,v5)) * K(K(y,z),x) = a(v5,K(u,w) / (K(z,y) * w),K(K(y,z),x)). [para(13979(a,2),9694(a,2,2))]. 13981 K(x,K(y,((z \ (z * ((1 / z) * u))) * w) * v5)) = K(x,K(y,(L(u / z,z,1 / z) * w) * v5)). [para(800(a,1),13940(a,1,2,2,1,1)),flip(a)]. 13982 K(x,K(y,((z / (z / (u \ 1))) / w) * v5)) = K(x,K(y,(w * u) / v5)). [hyper(228,a,13785,a(flip),b,13956,a)]. 13983 K(x,K(y,z / ((K(u,w) * v5) * v6))) = K(x,K(y,z / (v5 * v6))). [hyper(228,a,8088,a,b,13961,a)]. 13984 K(x,K(y,z / (u * (K(w,v5) * v6)))) = K(x,K(y,z / (v6 * u))). [hyper(13948,a,13983,a)]. 13985 K(x,K(y,z / (u * (K(w,v5) * v6)))) != v7 | K(x,K(y,z / (u * v6))) = v7. [para(13984(a,2),13948(a,1))]. 13986 K(x,K((y / z) * u,L(w,y,z))) = K(x,K(w,(u / z) * y)). [hyper(228,a,13134,a(flip),b,13964,a(flip)),flip(a)]. 13987 K(x,K(y,z / (u * (w \ v5)))) != v6 | K(x,K(y,z / (u * (v5 / w)))) = v6. [para(4811(a,1),13985(a,1,2,2,2,2))]. 13988 K(x,K(y * K(z,u),L(w,K(v5,v6),v7))) = K(x,K(w,L(y,y,v7))). [hyper(228,a,13953,a(flip),b,13945,a)]. 13990 K(x,K(y * K(z,u),L(w,K(v5,v6),v7))) = K(x,K(y,w)). [hyper(228,a,8513,a(flip),b,13988,a)]. 13991 K(x,K(y,L(z,K(u,w),v5))) = K(x,K(y,z)). [hyper(13927,a,13990,a)]. 13993 K(x,T(y,(z * K(u,w)) / v5)) = K(x,T(y,v5 / z)). [hyper(13780,a,13963,a),flip(a)]. 13994 K(x,T(y,(z / T(u,w)) / v5)) = K(x,T(y,v5 / (z / u))). [para(5205(a,1),13993(a,1,2,2,1))]. 13995 K(x,T(y,z / (u / T(w,v5)))) = K(x,T(y,z / (u / w))). [hyper(8187,a,13994,a)]. 13996 K(x,T(L(y,z,T(x,u)),w / (v5 / T(v6,v7)))) = K(x,T(y,w / (v5 / v6))). [hyper(228,a,8365,a(flip),b,13995,a)]. 13997 K(x,T(y,z / (u / (w / v5)))) = K(x,T(y,z / (u / (v5 \ w)))). [para(115(a,1),13995(a,1,2,2,2,2)),flip(a)]. 13998 T(1 / x,T(y,z / (u / T(w,v5)))) = K(1 / x,T(y,z / (u / w))) / x. [para(13995(a,1),4858(a,1,1)),flip(a)]. 13999 K((x * K(y,z)) \ u,T(w,x)) = K((K(z,y) \ (u / K(y,z))) / (K(y,z) * x),w). [para(5035(a,2),13845(a,2,1,1))]. 14000 K((x * K(y,z)) \ u,T(w,x)) = K((K(z,y) \ (u / K(y,z))) / (K(z,y) \ x),w). [para(5035(a,2),13999(a,2,1,2))]. 14001 K((x * K(y,z)) \ u,T(w,x)) = K(T(u,K(y,z)) / (K(z,y) \ x),w). [para(8015(a,1),14000(a,2,1,1))]. 14002 K((x * K(y,z)) \ u,T(w,x)) = K(u / (K(z,y) \ x),w). [hyper(228,a,13816,a(flip),b,14001,a)]. 14004 K(x / (K(y,z) \ u),w) != v5 | K(x / (u * K(z,y)),w) = v5. [para(14002(a,1),13886(a,1))]. 14005 K(x,K(y \ (1 / z),L(y / u,u,z))) = K(x,K(z * y,y / u)). [hyper(228,a,13914,a(flip),b,13712,a)]. 14006 K(x,K((1 / y) / z,L(z / u,u,y))) = K(x,K(y * z,z / u)). [hyper(13715,a,14005,a)]. 14008 K(x,K((y \ z) * u,u / y)) = K(x,K(z,(1 / (y \ z)) / u)). [hyper(228,a,13321,a(flip),b,14006,a(flip))]. 14009 K(x,K(y / z,(z \ u) * y)) = K(x,K(u,(1 / (z \ u)) / y)). [hyper(7771,a,14008,a)]. 14010 K(x,K(y,(1 / (z \ y)) / u)) = K(x,K(y,u / z)). [hyper(228,a,13716,a(flip),b,14009,a(flip))]. 14011 K(x,K(y,(1 / z) / u)) = K(x,K(y,u / (y / z))). [para(64(a,1),14010(a,1,2,2,1,2))]. 14012 K(x,K(y,z / (y / u))) = K(x,K(y,z * u)). [hyper(8182,a,14011,a),flip(a)]. 14013 K(x,K(y,z * (y / u))) = K(x,K(y,z / u)). [hyper(228,a,13918,a(flip),b,14012,a(flip))]. 14014 K(x,K(y,z * (x / u))) = K(y,K(x,z / u)). [hyper(7725,a,14013,a)]. 14015 K(x,K(y,z * (x / u))) = K(x,K(y,z / u)). [hyper(228,a,7723,a,b,14014,a)]. 14016 x \ (y * ((y \ x) * K((z / y) \ (y \ x),u))) = K(((y \ x) * y) / z,T(u,x / y)). [para(5494(a,1),13740(a,1,2,2))]. 14017 K(x,T(L(y,K(z,K(u,w)),v5),K(z,K(u,w)))) = K(x,y * K(z,K(u,w))). [hyper(228,a,6668,a(flip),b,13813,a(flip)),flip(a)]. 14018 K(x,L(y,K(z,K(u,w)),v5)) = K(x,y * K(z,K(u,w))). [hyper(13661,a,14017,a)]. 14020 K(x,y * K(z,K(u,w))) != v5 | K(x,y) = v5. [para(14018(a,1),9441(a,1))]. 14021 K(x,y \ T(z,K(u,w))) != v5 | K(x,y \ z) = v5. [para(1384(a,1),14020(a,1,2))]. 14023 K(x,y \ (z * K(u,w))) != v5 | K(x,y \ (K(u,w) * z)) = v5. [para(9605(a,1),14020(a,1,2))]. 14024 K(x,K(y,K(z,u)) \ w) != v5 | K(x,w) = v5. [para(13718(a,2),14020(a,1,2))]. 14025 K(x,T(y,K(z,u)) \ w) != v5 | K(x,y \ w) = v5. [para(13717(a,1),14020(a,1,2))]. 14026 K(x,y \ z) != u | K(x,y \ T(z,K(w,v5))) = u. [para(5850(a,1),14024(a,1,2))]. 14027 K(x,y \ (K(z,u) \ w)) != v5 | K(x,y \ (w * K(u,z))) = v5. [para(5080(a,1),14021(a,1,2,2))]. 14028 K(x,(y * K(z,u)) \ w) != v5 | K(x,(K(z,u) * y) \ w) = v5. [para(5987(a,1),14025(a,1,2,1))]. 14029 K(x,(L(K(y,z),u,w) * v5) \ v6) != v7 | K(x,(v5 * L(K(y,z),u,w)) \ v6) = v7. [para(11457(a,1),14025(a,1,2,1))]. 14031 K(((x \ y) * x) / z,T(u,y / x)) = y \ (y * K((x * (z / x)) \ y,u)). [para(6383(a,1),14016(a,1,2)),flip(a)]. 14032 K(((x \ y) * x) / z,T(u,y / x)) = K((x * (z / x)) \ y,u). [hyper(228,a,13,a(flip),b,14031,a)]. 14033 K((x * ((y * ((x \ z) * x)) / x)) \ z,u) = K(1 / y,T(u,z / x)). [hyper(5630,a,14032,a),flip(a)]. 14035 K((x * ((y * ((x \ z) * x)) / x)) \ z,u) != w | K(1 / y,T(u,z / x)) = w. [para(14032(a,1),5630(a,1))]. 14036 K(((1 / (x \ y)) * ((z * (((y \ x) \ u) * (y \ x))) / (1 / (x \ y)))) \ u,w) = K(1 / z,T(w,u / (1 / (x \ y)))). [para(13230(a,1),14033(a,1,1,1,2,1,2))]. 14037 K(x,K(y,((z \ u) * (w * z)) / T(w * u,a(w,z,z \ u)))) = a(y,z,K(x,K(z \ u,w))). [hyper(228,a,13031,a,b,13951,a)]. 14038 K(x,K(y,(z / u) * (((1 / z) * u) / (((1 / z) * u) * w)))) = K(x,K(y,1 / (w * ((1 / z) * u)))). [para(13783(a,1),13965(a,1,2)),flip(a)]. 14039 K(x,K(y,((z \ u) * (w * z)) / T(w * u,a(w,z,z \ u)))) = a(y,z,K(x,K(w,u / z))). [para(13614(a,1),14037(a,2,3))]. 14040 K(x,K(y,((z \ u) * (w * z)) / (w * u))) = a(y,z,K(x,K(w,u / z))). [hyper(228,a,13908,a(flip),b,14039,a(flip)),flip(a)]. 14042 K(x,K(y,(L(z / u,u,1 / u) * w) * v5)) = K(x,K(y,(((1 / u) * z) * w) * v5)). [para(13(a,1),13981(a,1,2,2,1,1)),flip(a)]. 14043 K(x,K(y,(z * u) * R(L(w / v5,v5,1 / v5),z,u))) = K(x,K(y,(((1 / v5) * w) * z) * u)). [hyper(13772,a,14042,a)]. 14045 K(x,K(y,(z * u) * L(R(w / v5,z,u),v5,1 / v5))) = K(x,K(y,(((1 / v5) * w) * z) * u)). [para(44(a,1),14043(a,1,2,2,2))]. 14046 K(x,K(y,L(z,K(u,w) / w,v5))) * K(K(z,y),x) = a(v5,K(u,w) / (K(y,z) * w),K(K(z,y),x)). [para(8506(a,1),13980(a,1,1))]. 14047 K(x,K(y,(z / u) * (((1 / z) * u) / (((1 / z) * u) * w)))) != v5 | K(x,K(y,w * ((1 / z) * u))) = v5. [para(14038(a,2),8100(a,1))]. 14048 K(((x \ y) * ((z * (((x \ y) \ u) * (x \ y))) / (x \ y))) \ u,w) = K(1 / z,T(w,u / (1 / (y \ x)))). [para(13241(a,1),14036(a,1,1,1))]. 14049 K(1 / x,T(y,z / (1 / (u \ w)))) = K(1 / x,T(y,z / (w \ u))). [hyper(14035,a,14048,a),flip(a)]. 14050 K(1 / x,T(y,z / (1 / (u \ w)))) = K(1 / x,T(y,z / (u / w))). [hyper(228,a,13882,a,b,14049,a)]. 14051 K(1 / x,T(y,z / (1 / (u / w)))) = K(1 / x,T(y,z / (w / u))). [hyper(228,a,13997,a,b,14050,a(flip)),flip(a)]. 14052 K(1 / x,T(y,z / (u / w))) = K(1 / x,T(y,(w / u) * z)). [hyper(13770,a,14051,a),flip(a)]. 14053 T(1 / x,T(y,z / (u / T(w,v5)))) = K(1 / x,T(y,(w / u) * z)) / x. [para(14052(a,1),13998(a,2,1))]. 14054 T(1 / x,T(y,z / (u / T(w,v5)))) = T(1 / x,T(y,(w / u) * z)). [hyper(228,a,4858,a(flip),b,14053,a)]. 14055 T(T(1 / (1 / L(x,y,z)),T(u,(w / v5) * v6)),1 / x) = T(L(x,y,z),T(u,v6 / (v5 / T(w,v7)))). [para(14054(a,1),2793(a,1,1))]. 14056 T(L(x,y,z),T(u,w / (v5 / T(v6,v7)))) = T(L(x,y,z),T(u,(v6 / v5) * w)). [hyper(228,a,2793,a(flip),b,14055,a(flip))]. 14057 K(x,K(y,(((K(z,u) * w) * v5) * v6) / (v6 * (K(z,u) * v5)))) = K(x,K(R(w,K(z,u),v5),L(y,K(z,u) * v5,v6))). [hyper(13748,a,13971,a),flip(a)]. 14058 K(x,K(y,(((K(z,u) * w) * v5) * v6) / (v6 * (K(z,u) * v5)))) = K(x,K(w,L(L(y,K(z,u) * v5,v6),K(z,u),v5))). [para(13316(a,1),14057(a,2,2))]. 14059 K(x,K(y,(((K(z,u) * w) * v5) * v6) / (v6 * (K(z,u) * v5)))) = K(x,K(w,L(y,K(z,u) * v5,v6))). [hyper(228,a,13991,a(flip),b,14058,a)]. 14060 K(x,K(y,(((K(z,u) * w) * v5) * v6) / (v6 * v5))) = K(x,K(w,L(y,K(z,u) * v5,v6))). [hyper(13985,a,14059,a)]. 14062 K(x,K(y,L(K(z,u) * w,v5,v6))) = K(x,K(w,L(y,K(z,u) * v5,v6))). [hyper(228,a,13950,a(flip),b,14060,a(flip)),flip(a)]. 14063 K(x,K(y,L(z,K(u,w) * v5,v6))) = K(x,K(y,L(z,v5,v6))). [hyper(228,a,13955,a(flip),b,14062,a(flip))]. 14064 L(K(x,K(y,z)),K(u,w) * v5,v6) = K(y,K(z,L(x,v5,v6))). [hyper(11427,a,14063,a)]. 14066 K(x,K(y,L(z,K(u,w) / v5,v6))) = K(x,K(y,L(z,1 / v5,v6))). [para(11056(a,1),14063(a,1,2,2,2))]. 14067 L(K(x,K(y,z)),K(u,w) * v5,v6) = a(x,v5,K(v6,K(y,z))) * K(x,K(y,z)). [hyper(228,a,13075,a,b,14064,a)]. 14068 a(x,K(y,z) * u,K(w,K(v5,v6))) = a(x,u,K(w,K(v5,v6))). [hyper(13076,a,14067,a)]. 14069 a(x,y * (z / y),K(u,K(w,v5))) = a(x,z,K(u,K(w,v5))). [para(4624(a,1),14068(a,1,2)),flip(a)]. 14070 a(x,y / z,K(u,K(w,v5))) = a(x,z \ y,K(u,K(w,v5))). [para(4738(a,1),14068(a,1,2))]. 14071 a(x,1 / y,K(z,K(u,w * y))) = a(x,w,K((1 / y) / w,K(z,u))). [hyper(228,a,11443,a(flip),b,14069,a(flip))]. 14072 a(x,1 / y,K(z,K(u,w * y))) = a(x,w,K(z,K(u,(1 / y) / w))). [para(7728(a,2),14071(a,2,3))]. 14073 a(x,1 / y,K(z,K(u,w * y))) = a(x,w,K(z,K(u,w * y))). [para(8103(a,1),14072(a,2,3))]. 14074 a(x,1 / (y \ z),K(u,K(w,z))) = a(x,y,K(u,K(w,y * (y \ z)))). [para(14(a,1),14073(a,1,3,2,2))]. 14075 a(x,1 / (y \ z),K(z,K(u,w))) = a(x,y,K(u,K(w,y * (y \ z)))). [para(7728(a,1),14074(a,1,3))]. 14076 a(x,1 / (y \ z),K(z,K(u,w))) = a(x,y,K(u,K(w,z))). [para(14(a,1),14075(a,2,3,2,2))]. 14077 a(x,1 / (y \ z),K(z,K(u,w))) = a(x,y,K(z,K(u,w))). [para(7728(a,1),14076(a,2,3))]. 14078 a(x,1 / y,K(z,K(u,w))) = a(x,z / y,K(z,K(u,w))). [para(64(a,1),14077(a,1,2,2))]. 14079 a(x,1 / y,K(z,K(u,w))) = a(x,w / y,K(w,K(z,u))). [para(7728(a,2),14078(a,1,3))]. 14080 a(x,1 / y,K(z,K(u,w))) = a(x,w / y,K(z,K(u,w))). [para(7728(a,2),14079(a,2,3))]. 14081 a(x,1 / y,K(z,K(u,w))) = a(w,u / y,K(z,K(x,u))). [hyper(13088,a,14080,a)]. 14082 a(x,1 / y,K(z,K(u,w))) = a(w,u / y,K(z,K(u,x))). [para(7741(a,1),14081(a,2,3))]. 14083 K(x,1 / (K(1 / y,y) \ R(1 / L(y,z,u),L(y,z,u),K(1 / y,y)))) = K(1 / y,y) \ ((1 / L(y,z,u)) * ((x * (1 / (1 / L(y,z,u)))) / x)). [para(4320(a,1),9973(a,1,2,1)),flip(a)]. 14084 K(x,1 / (K(1 / y,y) \ R(1 / L(y,z,u),L(y,z,u),K(1 / y,y)))) = K(1 / y,y) \ ((1 / L(y,z,u)) * (1 / (1 / ((x * L(y,z,u)) / x)))). [para(2405(a,1),14083(a,2,2,2))]. 14086 K(x,1 / (K(1 / y,y) \ R(1 / L(y,z,u),L(y,z,u),K(1 / y,y)))) = K(1 / y,y) \ ((T(L(y,z,u),x) \ 1) * L(y,z,u)). [para(12096(a,1),14084(a,2,2))]. 14087 K(x,1 / (K(1 / y,y) \ R(1 / L(y,z,u),L(y,z,u),K(1 / y,y)))) = K(y,1 / y) * ((T(L(y,z,u),x) \ 1) * L(y,z,u)). [hyper(228,a,5035,a(flip),b,14086,a)]. 14088 K(x,1 / (K(1 / y,y) \ R(1 / L(y,z,u),L(y,z,u),K(1 / y,y)))) = (T(L(y,z,u),x) \ 1) * L((y \ 1) \ 1,z,u). [hyper(228,a,6789,a(flip),b,14087,a)]. 14089 K(x,1 / (K(1 / y,y) \ (1 / L(y,z,u)))) = (T(L(y,z,u),x) \ 1) * L((y \ 1) \ 1,z,u). [para(4320(a,1),14088(a,1,2,2,2))]. 14091 K(x,1 / (K(y,1 / y) * (1 / L(y,z,u)))) = (T(L(y,z,u),x) \ 1) * L((y \ 1) \ 1,z,u). [para(5035(a,1),14089(a,1,2,2))]. 14092 (T(L(x,y,z),u) \ 1) * L((x \ 1) \ 1,y,z) = K(u,1 / (1 / (1 / (1 / L(x,y,z))))). [para(6377(a,1),14091(a,1,2,2)),flip(a)]. 14093 (T(L(x,y,z),u) \ 1) * L((x \ 1) \ 1,y,z) = K(u,T(L(x,y,z),1)). [hyper(228,a,8971,a(flip),b,14092,a)]. 14094 (T(L(x,y,z),u) \ 1) * L((x \ 1) \ 1,y,z) = K(u,L(x,y,z)). [para(143(a,1),14093(a,2,2))]. 14095 K(T(x,y / (z / T(u,w))),L(v5,v6,v7)) = (T(L(v5,v6,v7),T(x,(u / z) * y)) \ 1) * L((v5 \ 1) \ 1,v6,v7). [para(14056(a,1),14094(a,1,1,1)),flip(a)]. 14096 K(T(x,y / (z / T(u,w))),L(v5,v6,v7)) = K(T(x,(u / z) * y),L(v5,v6,v7)). [hyper(228,a,14094,a(flip),b,14095,a)]. 14097 K(T(x,y / (z / T(u,w))),L(v5,v6,v7)) = K(x,T(L(v5,v6,v7),(u / z) * y)). [hyper(228,a,7202,a(flip),b,14096,a)]. 14098 K(x,T(L(y,z,u),w / (v5 / T(v6,v7)))) = K(x,T(L(y,z,u),(v6 / v5) * w)). [hyper(7637,a,14097,a)]. 14099 K(x,T(L(y,z,u),w / (v5 / v6))) = K(x,T(L(y,z,u),(v6 / v5) * w)). [hyper(228,a,13995,a(flip),b,14098,a(flip)),flip(a)]. 14100 K(x,T(L(y,z,T(x,u)),(T(w,v5) / v6) * v7)) = K(x,T(y,v7 / (v6 / w))). [hyper(228,a,13996,a(flip),b,14099,a(flip))]. 14101 K(x,T(y,(T(z,u) / w) * v5)) = K(x,T(y,v5 / (w / z))). [hyper(228,a,8365,a(flip),b,14100,a(flip)),flip(a)]. 14102 K(x,T(y,z / (u / w))) = K(x,T(y,(w / u) * z)). [para(112(a,1),14101(a,1,2,2,1,1)),flip(a)]. 14104 K(x,T(y,z / (u \ w))) = K(x,T(y,(u / w) * z)). [hyper(228,a,13882,a(flip),b,14102,a(flip)),flip(a)]. 14105 K(x,y) * K(x,K(y,(z / u) * w)) = K(x,T(y,w / (z \ u))). [hyper(228,a,7706,a,b,14104,a),flip(a)]. 14106 K(x,K(y,z / (u / w))) = K(x,K(y,(w / u) * z)). [hyper(17,a,13896,a,b,14105,a),flip(a)]. 14107 K(x,K(y,(z / u) / w)) = K(x,K(y,(u / z) * w)). [hyper(8181,a,14106,a)]. 14108 K(x,K(y,((z / u) / z) * w)) = K(x,K(y,w / u)). [hyper(228,a,13918,a(flip),b,14106,a(flip))]. 14109 K(x,K(y,(z / (z * u)) * w)) = K(x,K(y,w / u)). [hyper(228,a,13912,a(flip),b,14106,a(flip))]. 14110 L(K(x,K(y,(z / u) * w)),v5,v6) = K(y,K(w / (z \ u),L(x,v5,v6))). [para(14106(a,1),13937(a,1,1))]. 14111 K(x,K(y,z * (u / (u * w)))) = K(x,K(y,z / w)). [hyper(13710,a,14109,a)]. 14112 K(x,K(y,z * ((1 / u) * w))) = K(x,K(y,(u / w) / z)). [hyper(14047,a,14111,a)]. 14113 K(x,K(y,z / (u \ w))) = K(x,K(y,z * (u / w))). [para(14(a,1),14111(a,1,2,2,2,2)),flip(a)]. 14114 K(x,K(y,z * ((1 / u) * w))) = K(x,K(y,(w / u) * z)). [hyper(228,a,14107,a(flip),b,14112,a)]. 14115 K(x,K(y,z * (u * (1 / w)))) = K(x,K(y,(u / w) * z)). [hyper(13975,a,14114,a)]. 14116 K(x,K(y,z * L(u,w,1 / w))) = K(x,K(y,((w * u) / w) * z)). [para(193(a,1),14114(a,1,2,2,2))]. 14117 K(x,K(y,z * L(u,w,1 / w))) = K(x,K(y,u * z)). [hyper(228,a,13921,a(flip),b,14116,a)]. 14119 K(x,K(y,R(z / u,w,v5) * (w * v5))) = K(x,K(y,(((1 / u) * z) * w) * v5)). [hyper(228,a,14045,a(flip),b,14117,a(flip))]. 14120 K(x,K(y / (z \ u),L(w,v5,v6))) = K(x,K((z / u) * y,L(w,v5,v6))). [hyper(8686,a,14110,a),flip(a)]. 14121 K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(u * y) / (y * (y \ z)))). [hyper(228,a,13970,a(flip),b,14120,a(flip))]. 14122 K(x,K(((y / z) / y) * u,L(w,v5,v6))) = K(x,K(u / z,L(w,v5,v6))). [para(64(a,1),14120(a,1,2,1,2)),flip(a)]. 14123 K(x,K(y * ((z / u) / z),L(w,v5,v6))) = K(x,K(y / u,L(w,v5,v6))). [hyper(13749,a,14122,a)]. 14124 K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(u * y) / z)). [para(14(a,1),14121(a,2,2,2,2))]. 14125 K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(y * u) / z)). [hyper(228,a,13946,a,b,14124,a)]. 14126 K(x,K((y / z) / u,L(w,z,y))) = K(x,K(w,(y * ((v5 / u) / v5)) / z)). [hyper(228,a,14123,a(flip),b,14125,a(flip)),flip(a)]. 14127 K(x,K((y / z) / u,L(w,z,y))) = K(x,K(w,(y * (1 / u)) / z)). [para(5642(a,1),14125(a,1,2))]. 14128 K(x,K((y / z) * u,L(w,z,y))) != v5 | K(x,K(w,(u * y) / z)) = v5. [para(14125(a,2),13949(a,1))]. 14129 K(x,K(y,(z * ((u / w) / u)) / v5)) = K(x,K(y,(z * (1 / w)) / v5)). [hyper(228,a,14127,a(flip),b,14126,a(flip))]. 14130 K(x,K(y,(z * ((u / w) / u)) / v5)) = K(x,K(y,(w / z) * v5)). [hyper(228,a,13744,a(flip),b,14129,a)]. 14131 K(x,K(y,z / (((u / w) / u) * v5))) = K(x,K(y,(w / v5) * z)). [hyper(13952,a,14130,a)]. 14132 K(x,K(y,((z / (z / ((u / z) \ 1))) / w) * v5)) = K(x,K(y,((z / u) / w) * v5)). [hyper(228,a,13966,a,b,14131,a(flip)),flip(a)]. 14134 K(x,K(y,(((1 / z) * u) * w) * v5)) = K(x,K(y,((u / z) * w) * v5)). [para(109(a,1),14119(a,1,2,2)),flip(a)]. 14135 K(x,K(y,(z * ((1 / u) * w)) * v5)) = K(x,K(y,((w / u) * z) * v5)). [hyper(228,a,13911,a,b,14134,a(flip)),flip(a)]. 14136 K(x,K(y,((z / u) * w) * T(v5,v6))) = K(x,K(y,v5 * (w * ((1 / u) * z)))). [hyper(13972,a,14135,a),flip(a)]. 14137 K(x,K(y,(z * ((1 / u) * w)) / v5)) = K(x,K(y,((w / u) * z) * (1 / v5))). [hyper(11447,a,14135,a)]. 14138 K(x,K(y,z * (u * ((1 / w) * v5)))) = K(x,K(y,z * ((v5 / w) * u))). [hyper(13972,a,14136,a),flip(a)]. 14139 K(x,K(y,z * (((u / (1 / w)) / w) * v5))) = K(x,K(y,z * (v5 * u))). [hyper(13976,a,14138,a),flip(a)]. 14140 K(x,K(y,z * (((1 / u) * w) * v5))) = K(x,K(y,z * ((w / u) * v5))). [hyper(13975,a,14138,a)]. 14141 K(x,K(y,(z / u) * ((w / z) * u))) = K(x,K(y,L(w,1 / z,u))). [hyper(228,a,13789,a(flip),b,14138,a(flip))]. 14142 K(x,K(y,((z / u) / w) * (u / (1 / w)))) = K(x,K(y,L(z,1 / u,1 / w))). [hyper(228,a,14115,a(flip),b,14141,a(flip)),flip(a)]. 14143 K(x,K(y,z * (((u / (1 / w)) / w) * T(v5,v6)))) = K(x,K(y,(v5 * u) * z)). [hyper(228,a,13957,a(flip),b,14139,a)]. 14144 K(x,K(y,(z * ((1 / u) * w)) / v5)) = K(x,K(y,((w / u) * z) / v5)). [hyper(228,a,6076,a(flip),b,14137,a)]. 14145 K(x,K(y,z * ((u / (1 / w)) * K(w,v5)))) = K(x,K(y,(w * u) * z)). [para(5216(a,1),14143(a,1,2,2,2))]. 14146 K(x,K(y,z * (u / (1 / w)))) = K(x,K(y,(w * u) * z)). [hyper(13974,a,14145,a)]. 14147 K(x,K(y,(z * u) * ((w / u) / z))) = K(x,K(y,L(w,1 / u,1 / z))). [hyper(228,a,14146,a(flip),b,14142,a(flip)),flip(a)]. 14149 K(x,K(y,(z * (u / w)) / v5)) = K(x,K(y,((w / u) / z) * v5)). [hyper(228,a,13982,a(flip),b,14132,a(flip)),flip(a)]. 14150 K(x,K(y,((z / u) * w) / v5)) = K(x,K(y,((u / z) / w) * v5)). [hyper(13949,a,14149,a)]. 14152 K(x,K(y,z / ((u \ w) * v5))) = K(x,K(y,((u / w) / v5) * z)). [hyper(228,a,13968,a(flip),b,14149,a(flip)),flip(a)]. 14153 K(x,K(y,(z * ((1 / u) * w)) / v5)) = K(x,K(y,((u / w) / z) * v5)). [hyper(228,a,14144,a,b,14150,a(flip)),flip(a)]. 14154 K(x,K(y,((z \ u) * w) / v5)) = K(x,K(y,((z / u) / w) * v5)). [hyper(8181,a,14152,a)]. 14155 K(x,K(y,((z / u) / T(w,z \ u)) * v5)) = K(x,K(y,v5 / (w * (z \ u)))). [para(113(a,1),14152(a,1,2,2,2)),flip(a)]. 14156 K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(y,z,K(x,K(w,u / z))). [hyper(228,a,14040,a(flip),b,14154,a(flip))]. 14157 K(x,K(y,z / (u * ((1 / w) * v5)))) = K(x,K(y,((w / v5) / u) * z)). [hyper(8181,a,14153,a)]. 14158 K(x,K(y,((z / u) / w) * ((w * (1 / z)) * u))) = K(x,K(y,a(w,1 / z,u))). [para(12891(a,1),14157(a,1,2)),flip(a)]. 14159 K(x,K(y,(z * u) * ((w / u) / (z * w)))) = a(x,w,K(y,K(z,u / w))). [hyper(13708,a,14156,a)]. 14160 K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(y,(u / z) * z,K(x,K(w,u / z))). [hyper(228,a,13116,a,b,14156,a)]. 14161 a(x,y,K(z,K(u,w / y))) != v5 | K(x,K(z,((y / w) / (u * y)) * (u * w))) = v5. [para(14156(a,1),7725(a,1))]. 14162 K(x,K(y,((z / u) * w) * ((u / w) / z))) = a(x,u,K(y,K(z / u,w / u))). [para(16(a,1),14159(a,1,2,2,2,2))]. 14163 K(x,K(y,z / (u * (w \ v5)))) = K(x,K(y,z * ((w / v5) / u))). [hyper(13973,a,14155,a),flip(a)]. 14164 K(x,K(y,z / (u * (w / v5)))) = K(x,K(y,z * ((v5 / w) / u))). [hyper(13987,a,14163,a)]. 14165 K(x,K(y,(z * u) * ((w / u) / z))) = K(x,K(w,L(y,u,z))). [hyper(13843,a,14164,a),flip(a)]. 14166 K(x,K(y,L(z,1 / u,1 / w))) = K(x,K(z,L(y,u,w))). [hyper(228,a,14147,a(flip),b,14165,a(flip)),flip(a)]. 14167 K(x,K(y,L(z,1 / u,w))) = K(x,K(z,L(y,u,w))). [hyper(228,a,13122,a(flip),b,14166,a(flip)),flip(a)]. 14168 K(x,K(y,L(z,K(u,w) / v5,v6))) = K(x,K(z,L(y,v5,v6))). [hyper(228,a,14066,a,b,14167,a(flip)),flip(a)]. 14169 a(x,K(y,z) / (K(u,w) * z),K(K(w,u),v5)) = K(v5,K(w,L(u,z,x))) * K(K(w,u),v5). [para(14168(a,1),14046(a,1,1)),flip(a)]. 14170 K(x,K(y,((z / u) / w) * ((w * (1 / z)) * u))) = a(x,1 / z,K(y,K(w,u))). [hyper(228,a,13074,a,b,14158,a)]. 14171 K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(y,u,K(x,K(w,u / z))). [para(16(a,1),14160(a,2,2))]. 14172 a(x,K(y,z) / (K(u,w) * z),K(K(w,u),v5)) = K(v5,K(w,L(u,z,x))) * K(v5,K(w,u)). [para(7740(a,1),14169(a,2,2))]. 14174 a(x,K(y,z) / (K(u,w) * z),K(K(w,u),v5)) = K(K(w,L(u,z,x)) * K(u,w),v5). [hyper(228,a,11633,a(flip),b,14172,a)]. 14175 a(x,K(y,z) / (K(u,w) * z),K(K(w,u),v5)) = K(a(x,z * u,K(u,w)),v5). [para(9694(a,1),14174(a,2,1))]. 14176 a(x,K(y,z) / (K(u,w) * z),K(K(w,u),v5)) = a(u,z,K(v5,K(w,x))). [hyper(228,a,13119,a(flip),b,14175,a)]. 14177 a(x,(K(y,z) / z) * K(u,w),K(K(u,w),v5)) = a(w,z,K(v5,K(u,x))). [para(13979(a,1),14176(a,1,2))]. 14178 a(x,(K(y,z) / z) * K(u,w),K(v5,K(u,w))) = a(w,z,K(v5,K(u,x))). [para(7740(a,1),14177(a,1,3))]. 14179 a(x,K(y,z) / z,K(u,K(w,v5))) = a(v5,z,K(u,K(w,x))). [hyper(11446,a,14178,a)]. 14180 a(x,1 / y,K(z,K(u,w))) = a(w,y,K(z,K(u,x))). [para(147(a,1),14179(a,1,2,1))]. 14181 K(x,K(y,((z / u) / w) * ((w * (1 / z)) * u))) = a(u,z,K(y,K(w,x))). [hyper(228,a,14170,a,b,14180,a(flip)),flip(a)]. 14182 a(x,y / z,K(u,K(y,w))) = a(x,z,K(u,K(y,w))). [hyper(228,a,14082,a(flip),b,14180,a(flip)),flip(a)]. 14183 a(x,y / z,K(u,K(y,w))) != v5 | a(y,z,K(u,K(x,w))) = v5. [para(14182(a,2),13090(a,1))]. 14184 K(x,K(y,((z / u) / w) * ((w * (1 / z)) * u))) = a(u,z,K(x,K(y,w))). [para(7728(a,1),14181(a,2,3))]. 14185 K(x,K(y,((z / u) / (1 / (K(w,1 / z) / w))) * (((1 / z) * (1 / (1 / w))) * u))) = a(u,z,K(x,K(y,1 / (K(w,1 / z) / w)))). [para(5825(a,1),14184(a,1,2,2,2,1))]. 14186 K(x,K(y,((z / u) / (1 / (K(w,1 / z) / w))) * (((1 / z) * w) * u))) = a(u,z,K(x,K(y,1 / (K(w,1 / z) / w)))). [para(9983(a,1),14185(a,1,2))]. 14187 K(x,K(y,((z / u) / (w * K(1 / z,w))) * (((1 / z) * w) * u))) = a(u,z,K(x,K(y,1 / (K(w,1 / z) / w)))). [para(6194(a,1),14186(a,1,2))]. 14188 K(x,K(y,(((z / u) / w) * K(w,1 / z)) * (((1 / z) * w) * u))) = a(u,z,K(x,K(y,1 / (K(w,1 / z) / w)))). [para(6624(a,1),14187(a,1,2,2,1))]. 14189 K(x,K(y,(((z / u) / w) * K(w,1 / z)) * ((w / z) * u))) = a(u,z,K(x,K(y,1 / (K(w,1 / z) / w)))). [hyper(228,a,14140,a(flip),b,14188,a(flip)),flip(a)]. 14190 K(x,K(y,((z / u) * w) * ((u / w) / z))) = a(w,u,K(x,K(y,1 / (K(z,1 / u) / z)))). [hyper(13941,a,14189,a)]. 14191 K(x,K(y,((z / u) * w) * ((u / w) / z))) = a(w,u,K(x,K(y,z * K(1 / u,z)))). [para(5136(a,1),14190(a,2,3,2))]. 14192 K(x,K(y,((z / u) * w) * ((u / w) / z))) = a(w,u,K(x,K(y,z))). [para(13906(a,1),14191(a,2,3))]. 14193 a(x,y,K(z,K(u / y,w / y))) = a(w,y,K(x,K(z,u))). [hyper(228,a,14162,a(flip),b,14192,a(flip)),flip(a)]. 14195 a(x,y \ z,K(u,K(y,w / (y \ z)))) = a(w,y \ z,K(x,K(u,z))). [para(61(a,1),14193(a,1,3,2,1))]. 14196 a(x,y \ z,K(u,K(y,w * (y / z)))) = a(w,y \ z,K(x,K(u,z))). [para(14113(a,1),14195(a,1,3))]. 14197 a(x,y \ z,K(y,K(u,w * (y / z)))) = a(w,y \ z,K(x,K(u,z))). [para(7723(a,1),14196(a,1,3))]. 14198 a(x,y \ z,K(y,K(u,w / z))) = a(w,y \ z,K(x,K(u,z))). [para(14015(a,1),14197(a,1,3))]. 14199 a(x,y \ z,K(u,K(w,z))) = a(u,z,K(y,K(w,x / z))). [hyper(228,a,13114,a(flip),b,14198,a(flip))]. 14200 a(x,y \ z,K(u,K(z,w))) = a(u,z,K(y,K(w,x / z))). [para(7741(a,1),14199(a,1,3))]. 14201 a(x,y / z,K(u,K(y,w))) = a(u,y,K(z,K(w,x / y))). [hyper(228,a,14070,a,b,14200,a(flip)),flip(a)]. 14202 a(x,y,K(z,K(u,w / y))) = a(y,z,K(x,K(w,u))). [hyper(14183,a,14201,a),flip(a)]. 14203 a(x,y,K(z,K(u,w / y))) = a(y,z,K(w,K(x,u))). [para(7723(a,1),14202(a,2,3))]. 14204 K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(z,y,K(u,K(x,w))). [hyper(14161,a,14203,a)]. 14205 K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(z,y,K(x,K(w,u))). [para(7728(a,2),14204(a,2,3))]. 14206 a(x,y,K(z,K(u,y / w))) = a(w,x,K(z,K(u,y))). [hyper(228,a,14171,a(flip),b,14205,a(flip)),flip(a)]. 14207 a(x,y,K(z,K(u,w / y))) = a(w,x,K(z,K(u,y))). [para(8088(a,1),14206(a,1,3))]. 14208 a(x,y,K(z,K(u,w / y))) = a(w,x,K(z,K(y,u))). [para(7741(a,1),14207(a,2,3))]. 14209 a(x,y,K(z,K(u,w))) = a(u,z,K(x,K(y,w))). [hyper(228,a,14203,a(flip),b,14208,a(flip))]. 14210 a(x,y,K(z,K(u,w))) * K(z,K(x,w)) = L(K(z,K(x,w)),u,y). [para(14209(a,1),13070(a,1,1))]. 14211 a(x,y,K(z,K(u,w))) * K(x,K(z,w)) = L(K(z,K(x,w)),u,y). [para(7723(a,1),14210(a,1,2))]. 14212 L(K(x,K(y,z)),u,w) = K(x,K(z,L(y,w,u))). [hyper(13129,a,14211,a),flip(a)]. 14213 K(x,K(y,L(z,u,w))) = K(x,K(y,L(z,w,u))). [hyper(8683,a,14212,a)]. 14214 K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(u / z) * y)). [hyper(228,a,13986,a(flip),b,14213,a)]. 14215 K(x,K(y,L(L(z,u,w),v5 / (w * u),w * u))) = K(x,K(y,v5 \ ((v5 / (w * u)) * (w * (u * z))))). [para(666(a,1),14213(a,1,2,2)),flip(a)]. 14216 K(x,K(y,L(L(1 / z,z,u),w,u * z))) = K(x,K(y,1 / L(z,u,w))). [para(6490(a,1),14213(a,1,2)),flip(a)]. 14217 K(x,K(y,(z * u) / w)) = K(x,K(y,(z / w) * u)). [hyper(14128,a,14214,a)]. 14218 K(x,K(y,L(L(1 / z,z,u),w,u * z))) != v5 | K(x,K(y,L(z,u,w))) = v5. [para(14216(a,2),8100(a,1))]. 14219 K(x,K(y,L(L(z,u,w),v5 / (w * u),w * u))) = K(x,K(y,((v5 / (w * u)) * (w * (u * z))) / v5)). [hyper(228,a,13613,a,b,14215,a)]. 14220 K(x,K(y,L(L(z,u,w),v5 / (w * u),w * u))) = K(x,K(y,((v5 / (w * u)) / v5) * (w * (u * z)))). [hyper(228,a,14217,a(flip),b,14219,a)]. 14221 K(x,K(y,L(L(z,u,w),v5 / (w * u),w * u))) = K(x,K(y,(w * (u * z)) / (w * u))). [hyper(228,a,14108,a(flip),b,14220,a)]. 14224 K(x,K(y,L(L(z,u,w),v5 / (w * u),w * u))) = K(x,K(y,T(L(z,u,w),w * u))). [para(7910(a,1),14221(a,2,2))]. 14225 K(x,K(y,L(L(z,u,w),v5 / (w * u),w * u))) = K(x,K(y,L(z,u,w))). [hyper(228,a,13608,a(flip),b,14224,a)]. 14228 K(x,K(y,L(L(z,u,w),v5,w * u))) = K(x,K(y,L(z,u,w))). [hyper(228,a,13134,a(flip),b,14225,a(flip)),flip(a)]. 14229 K(x,K(y,L(1 / z,z,u))) = K(x,K(y,L(z,u,w))). [hyper(14218,a,14228,a),flip(a)]. 14232 K(x,K(y,L(z,u,w))) = K(x,K(y,1 / z)). [para(5763(a,1),14229(a,1,2)),flip(a)]. 14234 K(x,K(y,L(z,u,w))) = K(z,K(x,y)). [hyper(228,a,8098,a(flip),b,14232,a)]. 14235 K(x,K(y,L(z,u,w))) = K(x,K(y,z)). [hyper(228,a,8087,a(flip),b,14232,a)]. 14239 L(K(x,K(y,z)),u,w) = K(x,K(y,z)). [hyper(11427,a,14234,a)]. 14242 K(L(K(x,y),z,u),w) = K(x,K(y,w)). [hyper(228,a,8511,a,b,14234,a(flip)),flip(a)]. 14245 (x * y) * K(z,K(u,w)) = x * (y * K(z,K(u,w))). [para(14234(a,1),8512(a,1,2))]. 14254 (x * y) * K(z,K(u,w)) != v5 | x * (y * K(z,K(u,w))) = v5. [para(14235(a,1),8509(a,1,2))]. 14257 K(x,K(y,z)) * (u * w) = u * (w * K(x,K(y,z))). [para(14235(a,1),13719(a,1,1))]. 14260 a(x,y,K(z,K(u,w))) = 1. [hyper(70,a,14239,a,b,9692,a),flip(a)]. 14262 a(K(x,y),z,K(u,w)) = 1. [hyper(70,a,14239,a(flip),b,13018,a),flip(a)]. 14263 (K(x,K(y,z)) * u) * w = K(x,K(y,z)) * (u * w). [para(14239(a,1),13328(a,1,1)),flip(a)]. 14264 K(x,K(y,z)) \ (u * w) = (K(x,K(y,z)) \ u) * w. [para(14239(a,1),13348(a,1,1))]. 14267 a(K(x,K(y,z)),u,w) = 1. [hyper(228,a,12987,a,b,14260,a(flip)),flip(a)]. 14268 K(x,K(y,a(z,u,w))) = 1. [hyper(228,a,13074,a(flip),b,14260,a(flip)),flip(a)]. 14270 T(a(x,y,z),K(u,w)) = a(x,y,z) * 1. [para(14260(a,1),12973(a,1,2)),flip(a)]. 14271 L(K(x,y),z,K(u,w)) = K(x,y). [hyper(33,a,14262,a)]. 14272 K(a(K(x,y),z,u),w) = 1. [hyper(228,a,13028,a(flip),b,14262,a(flip)),flip(a)]. 14276 L(x,y,K(z,K(u,w))) = x. [hyper(33,a,14267,a)]. 14283 T(x,K(y,a(z,u,w))) = x. [hyper(37,a,14268,a)]. 14286 T(a(K(x,y),z,u),w) = a(K(x,y),z,u). [hyper(37,a,14272,a)]. 14288 (K(x,K(y,z)) * u) / w = K(x,K(y,z)) * (u / w). [para(14276(a,1),506(a,1,2))]. 14289 (x * (K(y,K(z,u)) * w)) \ (x * (K(y,K(z,u)) * (w * v5))) = L(v5,K(y,K(z,u)) * w,x). [para(14276(a,1),447(a,2,1))]. 14290 x \ (y * K(z,K(u,w))) = (x \ y) * K(z,K(u,w)). [para(14276(a,1),13392(a,1,1))]. 14291 K(x,T(y,a(z,u,w))) = K(x,y). [hyper(8774,a,14283,a)]. 14292 T(x,K(y,a(z,u,w) \ 1)) = x. [hyper(8124,a,14283,a)]. 14294 K(x,a(y,z,u)) * w = w * K(x,a(y,z,u)). [hyper(5994,a,14283,a),flip(a)]. 14296 K(x,a(y,z,u) \ 1) * w = w * K(x,a(y,z,u) \ 1). [para(14283(a,1),8122(a,1,2))]. 14298 T(x,a(y,z,K(u,w))) = x. [para(12966(a,2),14283(a,1,2))]. 14299 (x * a(y,z,K(u,w))) / x = a(y,z,K(u,w)). [hyper(4200,a,14298,a)]. 14300 a(x,y,K(z,u)) * w = w * a(x,y,K(z,u)). [hyper(2175,a,14298,a),flip(a)]. 14301 (a(x,y,K(z,u)) \ w) * a(x,y,K(z,u)) = w. [hyper(2174,a,14298,a)]. 14305 K(x,L(y,z,K(u,w))) = K(x,y). [hyper(11414,a,14271,a)]. 14306 K(L(x,y,K(z,u)),w) = K(x,w). [hyper(9005,a,14271,a)]. 14307 K(x,(K(y,z) * u) \ w) = K(x,u \ (K(y,z) \ w)). [hyper(6781,a,14271,a)]. 14309 K((K(x,y) * z) \ u,w) = K(z \ (K(y,x) * u),w). [hyper(228,a,6333,a(flip),b,14271,a(flip))]. 14310 (K(x,y) * z) * K(u,w) = K(x,y) * (z * K(u,w)). [para(14271(a,1),100(a,1,2))]. 14311 (K(x,y) * z) * K(u,w) != v5 | K(x,y) * (z * K(u,w)) = v5. [para(14271(a,1),218(a,1,2))]. 14312 (K(x,y) * z) * L(K(u,w),v5,v6) = K(x,y) * (z * L(K(u,w),v5,v6)). [para(14271(a,1),452(a,1,2,1))]. 14313 L(K(x,y),z,L(K(u,w),v5,v6)) = K(x,y). [para(6100(a,1),14271(a,1,3))]. 14314 (L(K(x,y),z,u) * w) * K(v5,v6) = L(K(x,y),z,u) * (w * K(v5,v6)). [para(14271(a,1),13330(a,1,1,1)),flip(a)]. 14321 (1 / a(x,y,z)) * K(u,w) = K(u,w) / a(x,y,z). [para(14291(a,1),11062(a,1,2))]. 14324 K(x,(y \ K(z,u)) / w) = K(x,y \ (K(z,u) / w)). [para(11082(a,1),14305(a,1,2))]. 14325 K((x * K(y,z)) \ ((x * u) * K(y,z)),w) = K(u * K(x,u),T(w,x)). [hyper(13891,a,14306,a)]. 14329 T(x,L(K(y,z),u,w)) = K(y,K(z,x)) \ x. [para(14242(a,1),4666(a,2,1))]. 14330 T(a(x,y,z),K(u,w)) = a(x,y,z). [hyper(228,a,12,a(flip),b,14270,a)]. 14331 T(a(x,y,z),T(u,w)) = T(a(x,y,z),u). [para(14330(a,1),7664(a,1,1)),flip(a)]. 14332 T(a(x,y,z),u / w) = T(a(x,y,z),w \ u). [para(14330(a,1),8551(a,1,1))]. 14335 a(K(x,y),z,u) * w = w * a(K(x,y),z,u). [para(14286(a,1),113(a,1,2)),flip(a)]. 14336 K(x,(L(K(y,z),u,w) \ v5) \ v6) = K(x,v5 \ (L(K(y,z),u,w) * v6)). [hyper(228,a,11399,a(flip),b,14313,a(flip))]. 14337 K(x,y) \ (z * L(K(u,w),v5,v6)) = (K(x,y) \ z) * L(K(u,w),v5,v6). [para(14313(a,1),13348(a,1,1))]. 14338 K(a(x,y,z),u) * T(a(x,y,z) * K(u,a(x,y,z)),w) = T(a(x,y,z),w). [hyper(8485,a,14331,a)]. 14339 T(x,L(K(y,z),u,w)) = T(x,K(y,z)). [hyper(228,a,7710,a(flip),b,14329,a)]. 14340 T(x / L(K(y,z),u,w),K(y,z)) = L(K(y,z),u,w) \ x. [hyper(647,a,14339,a),flip(a)]. 14341 T(x,K(y,L(z,u,w))) = T(x,K(y,z)). [para(6315(a,1),14339(a,1,2))]. 14343 T(x,K(y,z)) * K(y,L(z,u,w)) = K(y,L(z,u,w)) * x. [para(14341(a,1),7796(a,1,1))]. 14345 x \ T(y * T(x,K(z,u)),K(z,L(u,w,v5))) = T(y,K(L(u,w,v5),z) * x). [para(14341(a,1),13424(a,1,2,1,2))]. 14347 K(x,T(a(y,z,u),w)) = K(x,a(y,z,u)). [hyper(8208,a,14294,a)]. 14348 K(x,T(a(y,z,u),w)) = a(x,z,K(u,y)). [hyper(228,a,13008,a,b,14347,a)]. 14350 a(x,y,K(y \ (z \ 1),u)) != w | K(x,(z / u) / ((z * y) / (u * y))) = w. [para(14348(a,1),13420(a,1))]. 14351 a(x,y,K(z,u)) * (w * K(w * a(x,y,K(z,u)),v5)) = T(w * a(x,y,K(z,u)),v5). [para(14299(a,1),6261(a,1,1))]. 14352 a(x,y,K(z,u)) * w = w * a(z,y,K(u,x)). [hyper(13097,a,14300,a)]. 14353 a(x,y,K(z,u)) \ w = w * a(u,y,K(z,x)). [hyper(228,a,13023,a,b,14300,a(flip)),flip(a)]. 14355 K(x,y) * (z * a(x,u,K(w,y))) = L(K(x,y),u,w) * z. [para(14300(a,1),13022(a,1,2))]. 14356 (a(x,y,K(z,u)) * w) * a(u,y,K(z,x)) = w. [para(13023(a,1),14301(a,1,1))]. 14357 T(a(x,y,z),(u * z) \ w) = T(a(x,y,z),z \ (w / u)). [hyper(13128,a,14332,a),flip(a)]. 14358 T(a(x,y,z \ 1),(x * y) \ z) = a(x,y,z \ 1). [hyper(228,a,13422,a(flip),b,14332,a(flip))]. 14359 a(K(x,y),z,u) \ (w * a(u,z,K(y,x))) = w. [hyper(71,a,13029,a(flip),b,14335,a)]. 14360 a(K(x,y),z,u) \ w = w * a(K(y,x),z,u). [hyper(71,a,12066,a(flip),b,14335,a)]. 14362 a(x,y,K(z,u)) * (w * u) = w * T(u,a(z,y,x)). [hyper(228,a,12968,a(flip),b,14352,a)]. 14363 a(x,y,K(y \ (z \ 1),u)) = z \ R(z,K(u,x),y). [hyper(69,a,13196,a(flip),b,14353,a(flip))]. 14364 (a(x,y,K(z,u)) * w) \ 1 = a(u,y,K(z,x)) * (w \ 1). [para(14356(a,1),47(a,1,2,1)),flip(a)]. 14367 (x * (K(y,K(z,u)) * (w * v5))) \ ((x * w) * (v5 * K(y,K(z,u)))) = a(x,w,v5 * K(y,K(z,u))). [para(14257(a,2),24(a,2,1,2)),flip(a)]. 14368 K(x,K(y,z)) * (u * w) = u * (K(x,K(y,z)) * w). [para(13623(a,2),14257(a,2,2))]. 14370 (K(x,K(y,z)) * u) * w = u * (w * K(x,K(y,z))). [hyper(228,a,14257,a(flip),b,14263,a)]. 14371 (x * (K(y,K(z,u)) * w)) \ (x * (K(y,K(z,u)) * (w * v5))) != v6 | L(v5,K(y,K(z,u)) * w,x) = v6. [para(14263(a,1),456(a,1,2,2))]. 14373 (x * K(y,K(z,u))) \ w = K(y,K(z,u)) \ (x \ w). [hyper(4563,a,14264,a)]. 14374 (K(x,K(y,z)) \ u) / w = K(x,K(y,z)) * (u / w). [para(7763(a,2),14288(a,1,1))]. 14375 x \ (y * (z * K(u,K(w,v5)))) = (x \ (y * z)) * K(u,K(w,v5)). [para(14245(a,1),14290(a,1,2))]. 14376 K(x,(y * K(z,u)) \ w) = K(x,y \ (K(z,u) \ w)). [hyper(13859,a,14307,a)]. 14377 K(x,y \ (K(z,u) \ w)) = K(x,(y \ K(u,z)) * w). [hyper(6362,a,14307,a),flip(a)]. 14378 K(x,(K(y,z) \ u) \ w) = K(x,u \ (K(z,y) \ w)). [para(5035(a,2),14307(a,1,2,1))]. 14380 K((x * K(y,z)) \ u,w) = K(x \ (K(z,y) * u),w). [hyper(228,a,13817,a(flip),b,14309,a(flip)),flip(a)]. 14381 (K(x,y) * z) * K(u,T(w,z)) = K(x,y) * (K(u,w) * z). [hyper(228,a,7280,a(flip),b,14310,a)]. 14382 ((x * K(y,z)) * K(u,(x * K(y,z)) \ w)) / K(y,z) = K(u,w / (x * K(y,z))) * x. [hyper(72,a,7284,a(flip),b,14310,a)]. 14385 (a(x,y,z) \ 1) * K(u,w) = K(u,w) / a(x,y,z). [para(11721(a,1),14321(a,1,1))]. 14386 K(x,K(y,z)) \ (u * w) = u * (K(x,K(y,z)) * w). [hyper(7766,a,14368,a)]. 14389 (x * (y * (z * K(u,K(w,v5))))) \ ((x * (K(u,K(w,v5)) * y)) * z) = a(x,K(u,K(w,v5)) * y,z). [para(14370(a,1),24(a,2,1,2)),flip(a)]. 14390 (x * K(y,K(z,u))) * w = x * (w * K(y,K(z,u))). [para(13623(a,1),14370(a,1,1))]. 14391 (x * (K(y,K(z,u)) * w)) * v5 = (x * w) * (v5 * K(y,K(z,u))). [para(14368(a,1),14370(a,1,1))]. 14392 (x * K(y,K(z,u))) \ w = (x \ w) * K(y,K(z,u)). [hyper(228,a,13718,a(flip),b,14373,a)]. 14393 (K(x,K(y,z)) \ u) / w != v5 | K(x,K(y,z)) \ (u / w) = v5. [para(14374(a,2),7766(a,1))]. 14394 K(x,(y * K(z,u)) \ w) = K(x,y \ (w * K(u,z))). [hyper(228,a,13861,a(flip),b,14376,a)]. 14395 K(x,y \ (z * K(u,w))) = K(x,(y \ K(u,w)) * z). [hyper(14027,a,14377,a)]. 14396 K(x,(y \ K(z,u)) * w) != v5 | K(x,y \ (w * K(z,u))) = v5. [para(14377(a,1),14027(a,1))]. 14397 K(x \ (K(y,z) * u),T(w,x)) = K(u / (x * K(z,y)),w). [hyper(13886,a,14380,a),flip(a)]. 14398 K((x * y) / (K(z,u) * y),w) = K(y \ (K(u,z) * (y * x)),w). [hyper(228,a,13798,a,b,14380,a(flip)),flip(a)]. 14399 K(x \ ((K(y,z) * L(K(y,u) \ 1,w,v5)) * v6),v7) = K((x * K(z,y)) \ (L(K(u,y),w,v5) * v6),v7). [para(10058(a,2),14380(a,2,1,2)),flip(a)]. 14400 K(x,y) / a(z,u,w) = a(z,u,w) \ K(x,y). [hyper(5195,a,14385,a),flip(a)]. 14401 a(x,y,1 / (x * y)) \ K(x * y,y \ (x \ 1)) = x * (y * (1 / (x * y))). [hyper(2008,a,14400,a),flip(a)]. 14402 (x * K(y,K(z,u))) * w = x * (K(y,K(z,u)) * w). [para(13623(a,2),14390(a,2,2))]. 14403 (K(x,K(y,z)) * u) \ w = (u \ w) * K(x,K(y,z)). [para(13623(a,2),14392(a,1,1))]. 14404 K(x,y \ (z * K(u,w))) != v5 | K(x,(K(w,u) * y) \ z) = v5. [para(14394(a,1),14028(a,1))]. 14405 K(x,y \ (((1 / 1) * z) \ K(u,w))) = K(x,(y \ K(u,w)) * (1 / z)). [hyper(228,a,6193,a,b,14395,a(flip)),flip(a)]. 14406 K(x,(y \ K(z,u)) * w) != v5 | K(x,y \ (K(z,u) * w)) = v5. [para(14395(a,1),14023(a,1))]. 14407 R(x,K(y,K(z,u)),w) = x. [hyper(4535,a,14402,a)]. 14408 L(x,K(y,K(z,u)),w) = x. [hyper(445,a,14402,a)]. 14409 (x / (K(y,K(z,u)) * w)) * K(y,K(z,u)) = x / w. [hyper(72,a,16,a(flip),b,14402,a),flip(a)]. 14410 (x * (K(y,K(z,u)) * w)) \ ((x * K(y,K(z,u))) * (w * v5)) != v6 | L(v5,w,x * K(y,K(z,u))) = v6. [para(14402(a,1),456(a,1,1))]. 14411 ((x * y) * (K(z,K(u,w)) * v5)) / ((y * K(z,K(u,w))) * v5) = R(x,R(y,K(z,K(u,w)),v5),K(z,K(u,w)) * v5). [para(14407(a,1),480(a,1,1,1,2))]. 14412 (x * (K(y,K(z,u)) * w)) \ ((x * K(y,K(z,u))) * (w * v5)) = L(v5,L(w,K(y,K(z,u)),x),K(y,K(z,u)) * x). [para(14408(a,1),13721(a,1,2,2,1))]. 14413 (x * (K(y,K(z,u)) * w)) \ v5 = ((x * w) \ v5) * K(y,K(z,u)). [para(14368(a,1),14403(a,1,1))]. 14414 x / (K(y,K(z,u)) * w) = K(y,K(z,u)) \ (x / w). [hyper(71,a,14409,a(flip),b,13623,a),flip(a)]. 14415 K(x,K(y,z)) \ (u / (K(x,K(y,z)) \ w)) = u / w. [para(14(a,1),14414(a,1,2)),flip(a)]. 14416 K(x / y,a(z,u,w) \ 1) = K(y \ x,a(z,u,w) \ 1). [hyper(18,a,8284,a,b,14296,a),flip(a)]. 14417 T(x * K(L(y,z,u),w),K(w,y)) = L(K(w,y),z,u) \ x. [para(11403(a,1),14340(a,1,1))]. 14418 K(x,L(y,z,u)) * (K(y,x) * w) = (w * K(y,x)) * K(x,L(y,z,u)). [para(7788(a,1),14343(a,1,1)),flip(a)]. 14419 (K(x,y) * z) * a(x,u,K(w,y)) = L(K(x,y),u,w) * z. [hyper(17,a,1358,a(flip),b,14355,a)]. 14420 L(K(x,y),z * a(x,u,K(w,y)),v5) \ ((L(K(x,y),u,w) * z) * v5) = (z * a(x,u,K(w,y))) * v5. [para(14355(a,1),13329(a,1,2,1))]. 14421 T(a(x,y,z),z \ (u / w)) = T(a(x,y,z),z \ (w \ u)). [hyper(13127,a,14357,a),flip(a)]. 14423 x \ (a(y,z,K(u,w)) \ 1) = a(w,z,K(u,y)) * (x \ 1). [hyper(228,a,118,a(flip),b,14364,a(flip)),flip(a)]. 14424 K(x,y) * (K(z,u) * w) = K(z,u) * (K(x,y) * w). [hyper(13874,a,14381,a)]. 14429 K(x,y) * (K(z,u) * (x * w)) = K(z,u) * (T(x,y) * w). [para(4720(a,1),14424(a,1,2)),flip(a)]. 14431 K(x / (y * K(z,u)),w) != v5 | K((K(u,z) * x) / y,w) = v5. [para(14397(a,1),7964(a,1))]. 14432 (a(x,y,z \ 1) \ 1) \ ((z / (x * y)) / ((z / y) / x)) = K(x \ (z / y),a(x,y,z \ 1) \ 1). [hyper(228,a,13207,a,b,14416,a(flip)),flip(a)]. 14433 ((x / y) / z) * ((x / (z * y)) \ K(z \ (x / y),a(z,y,x \ 1) \ 1)) = (((x / y) / z) \ (x / (z * y))) \ 1. [para(14416(a,1),13185(a,1,2,2))]. 14434 K(x,y) \ (L(K(y,x),z,u) \ w) = (w * K(L(x,z,u),y)) * K(y,x). [hyper(71,a,14417,a(flip),b,5041,a)]. 14435 x \ (a(y,z,K(u,w)) * 1) = a(y,z,K(u,w)) * (x \ 1). [para(13023(a,1),14423(a,1,2))]. 14436 (K(x,y) * (T(z,u) * w)) \ (K(z,u) * ((K(x,y) * z) * w)) = L(a(K(x,y),z,w),K(x,y) * (z * w),K(z,u)). [para(14429(a,1),463(a,1,1))]. 14437 a(x,y,K(z,u)) * (w \ 1) = w \ a(x,y,K(z,u)). [para(12(a,1),14435(a,1,2)),flip(a)]. 14438 K(x,(y * a(z,u,K(w,v5))) \ v6) = K(x,(y \ a(v5,u,K(w,z))) * v6). [para(14437(a,1),13066(a,1,2,1)),flip(a)]. 14442 K((x * K(y,z)) \ ((x * u) * K(y,z)),w) = K(u,T(T(w,x),x)). [hyper(228,a,7858,a(flip),b,14325,a)]. 14443 K((x * K(y,z)) \ ((x * u) * K(y,z)),w) != v5 | K(u,w) = v5. [para(14442(a,2),7908(a,1))]. 14445 K(x,(L(K(y,z),u,w) \ v5) \ (L(K(y,z),u,w) \ v6)) = K(x,v5 \ v6). [para(14(a,1),14336(a,2,2,2))]. 14446 K(x,(L(K(y,z),u,w) * v5) \ v6) = K(x,v5 \ (L(K(z,y),u,w) * v6)). [para(6445(a,1),14336(a,1,2,1))]. 14447 K(x,y \ (((1 / 1) * z) \ K(u,w))) = K(x,(y \ K(u,w)) / z). [hyper(228,a,5532,a(flip),b,14405,a)]. 14448 K(x,y \ (((1 / 1) * z) \ K(u,w))) = K(x,y \ (K(u,w) / z)). [hyper(228,a,14324,a(flip),b,14447,a)]. 14449 K(x,y \ ((1 * z) \ K(u,w))) = K(x,y \ (K(u,w) / z)). [para(58(a,1),14448(a,1,2,2,1,1))]. 14450 K(x,y \ (K(z,u) / w)) = K(x,y \ (w \ K(z,u))). [para(11(a,1),14449(a,1,2,2,1)),flip(a)]. 14452 K(x,(y \ K(z,u)) / w) = K(x,y \ (w \ K(z,u))). [hyper(228,a,14324,a,b,14450,a(flip)),flip(a)]. 14453 K(x,L(y,z,u)) * (K(y,x) * w) = w * (K(y,x) * K(x,L(y,z,u))). [hyper(228,a,8847,a(flip),b,14418,a)]. 14454 K(x,(y * L(K(z,u),w,v5)) \ v6) = K(x,y \ (L(K(u,z),w,v5) * v6)). [hyper(14029,a,14446,a)]. 14455 K(x,((K(y,z) \ u) * L((K(y,z) \ u) \ u,w,v5)) \ v6) = K(x,(K(y,z) \ u) \ (L(K(z,y),w,v5) * v6)). [para(591(a,2),14446(a,1,2,1))]. 14456 x * (K(y,T(z,x)) * K(T(z,x),L(y,u,w))) = K(T(z,x),L(y,u,w)) * (x * K(y,z)). [para(7823(a,1),14453(a,1,2)),flip(a)]. 14457 (x * K(y,z \ (L(K(u,w),v5,v6) * v7))) \ x = K((z * L(K(w,u),v5,v6)) \ v7,y). [para(14454(a,1),5037(a,1,1,2))]. 14458 K(a(x,y,z),u) * T(a(x,y,z) * K(u,a(x,y,z)),w) = a(x,y,K(z,w)) * a(x,y,z). [hyper(228,a,12974,a,b,14338,a)]. 14459 T(x,K(L(y,z,u),w) * v5) = v5 \ T(x * T(v5,K(w,y)),K(w,y)). [para(14341(a,1),14345(a,1,2)),flip(a)]. 14460 T(x,K(L(y,z,u),w) * v5) = T(x,K(y,w) * v5). [hyper(228,a,13424,a(flip),b,14459,a)]. 14462 T(x,y * K(L(z,u,w),v5)) = T(x,K(z,v5) * y). [hyper(13638,a,14460,a)]. 14463 T(x,K(y,L(z,u,w)) \ v5) = T(x,K(z,y) * v5). [para(5035(a,2),14460(a,1,2))]. 14464 T(x,y * L(K(z,u),w,v5)) = T(x,K(z,u) * y). [para(6339(a,1),14462(a,1,2,2))]. 14465 T(x,y * K(z,L(u,w,v5))) = T(x,K(z,u) * y). [para(10471(a,1),14462(a,1,2,2))]. 14466 T(x,L(K(y,z),u,w) \ v5) = T(x,K(z,y) * v5). [para(6313(a,1),14463(a,1,2,1))]. 14467 T(x,(y / K(z,u)) * L(K(z,u),w,v5)) = T(x,y * K(K(z,u),K(z,u) \ y)). [para(4915(a,2),14464(a,2,2))]. 14468 K(x,y * K(z,L(u,w,v5))) = T(x,K(z,u) * y) / x. [hyper(72,a,14465,a(flip),b,4712,a(flip)),flip(a)]. 14469 T(x,y \ T(z,L(u,w,v5))) = T(x,K(z,u) * (y \ z)). [para(6265(a,1),14465(a,1,2))]. 14470 T(x,L(K(y,z),u,w) \ v5) = T(x,K(y,z) \ v5). [para(5035(a,2),14466(a,2,2))]. 14471 K(x,L(K(y,z),u,w) \ v5) = x \ T(x,K(y,z) \ v5). [hyper(71,a,14470,a(flip),b,4705,a(flip)),flip(a)]. 14472 K(x,y * K(z,L(u,w,v5))) = K(x,K(z,u) * y). [hyper(228,a,4696,a,b,14468,a)]. 14473 K(x,K(y,L(z,u,w)) * v5) = K(x,K(y,z) * v5). [hyper(13673,a,14472,a)]. 14474 T(x,y \ T(z,L(u,w,v5))) = T(x,y \ T(z,u)). [hyper(228,a,13724,a(flip),b,14469,a)]. 14475 T(x,R(T(y,z),u,w) \ T(y,z)) = T(x,R(y,u,w) \ y). [hyper(228,a,13837,a(flip),b,14474,a(flip))]. 14476 K(x,L(K(y,z),u,w) \ v5) = K(x,K(y,z) \ v5). [hyper(228,a,4649,a,b,14471,a)]. 14477 K(x,L(K(y,z),u,w) \ v5) != v6 | K(x,K(y,z) \ v5) = v6. [para(14471(a,2),4773(a,1))]. 14479 K(x,K(L(y,z,u),w) \ v5) != v6 | K(x,K(w,y) \ v5) = v6. [para(13440(a,1),14477(a,1))]. 14481 (a(x,y,1 / (x * y)) \ (x * y)) * (1 / (x * y)) = x * (y * (1 / (x * y))). [hyper(228,a,4365,a(flip),b,14401,a(flip)),flip(a)]. 14482 T(x,(y * K(z,u)) * L(K(u,z),w,v5)) = T(x,y * K(K(u,z),K(u,z) \ y)). [para(5063(a,1),14467(a,1,2,1))]. 14483 T(x,y * K(K(z,u),K(z,u) \ y)) = T(x,y * (K(u,z) * L(K(z,u),w,v5))). [para(8935(a,1),14482(a,1,2)),flip(a)]. 14484 T(x,y * K(K(z,u),K(u,z) * y)) = T(x,y * (K(u,z) * L(K(z,u),w,v5))). [para(5035(a,1),14483(a,1,2,2,2))]. 14485 T(x,y * K(z,K(u,K(u,z) * y))) = T(x,y * (K(u,z) * L(K(z,u),w,v5))). [para(7693(a,1),14484(a,1,2,2))]. 14486 T(x,y * (K(z,u) * L(K(u,z),w,v5))) = T(x,y). [hyper(228,a,13847,a(flip),b,14485,a(flip))]. 14488 T(x,y * a(z,u,K(w,v5))) = T(x,y). [para(9675(a,1),14486(a,1,2,2))]. 14489 (x * a(y,z,K(u,w))) * K(v5,T(v6,x)) != v7 | K(v5,v6) * (x * a(y,z,K(u,w))) = v7. [para(14488(a,1),7176(a,1,2,2))]. 14490 K((T(x,y) \ (y * a(z,u,K(w,v5)))) \ 1,v6) = K(((y * a(z,u,K(w,v5))) / x) \ 1,v6). [para(14488(a,1),12602(a,1,1,1,1))]. 14491 T(x,T(y,a(z,u,K(w,v5)) * v6)) = T(x,T(y,v6)). [para(14488(a,1),13683(a,1,2)),flip(a)]. 14492 T(x,y) \ T(T(x,z),T(y,a(u,w,K(v5,v6)) * z)) = K(x,z * a(u,w,K(v5,v6))). [para(14488(a,1),13742(a,1,2,1))]. 14493 K((x * L(K(y,z),u,w)) \ v5,v6) = K(x \ (L(K(z,y),u,w) * v5),v6). [hyper(5085,a,14457,a),flip(a)]. 14494 K(((x \ y) * x) / T(L(K(z,u),w,v5) * x,K(v6,v7)),v8) = K(x \ (L(K(u,z),w,v5) * y),v8). [hyper(228,a,13835,a,b,14493,a(flip)),flip(a)]. 14495 K(x,y * a(z,u,K(w,v5))) = T(x,v6) \ T(T(x,y),T(v6,y)). [para(14491(a,1),14492(a,1,2)),flip(a)]. 14496 K(x,y * a(z,u,K(w,v5))) = K(x,y). [hyper(228,a,7933,a(flip),b,14495,a)]. 14498 K(x * a(y,z,K(u,w)),v5) = (v6 * K(v5,x)) \ v6. [para(14496(a,1),5037(a,1,1,2)),flip(a)]. 14499 K(x * a(y,z,K(u,w)),v5) = K(x,v5). [hyper(228,a,5037,a(flip),b,14498,a)]. 14500 (x * y) / T(x * a(z,u,K(w,x)),y) = K(x,a(z,u,w) * x) * y. [para(14499(a,1),12985(a,2,1))]. 14501 K(a(x,y,K(z,u)) * w,v5) = K(w,v5). [para(14300(a,2),14499(a,1,1))]. 14502 (x * y) / T(x * a(z,u,K(w,x)),y) = K(x,x * a(z,u,w)) * y. [para(5433(a,1),14500(a,2,1))]. 14504 (x * y) / T(x * a(z,u,K(w,x)),y) = a(x,u,K(w,z)) * y. [para(12989(a,1),14502(a,2,1))]. 14505 a(x,y,K(z,u)) * (w * K(w,v5)) = T(w * a(x,y,K(z,u)),v5). [para(14499(a,1),14351(a,1,2,2))]. 14506 T(x * a(y,z,K(u,w)),v5) = a(y,z,K(u,w)) * T(x,v5). [para(4705(a,2),14505(a,1,2)),flip(a)]. 14508 x \ (y * T((a(z,u,K(w,v5)) * (y \ x)) * a(v5,u,K(w,z)),v6)) = K((x \ (y * a(v5,u,K(w,z)))) \ 1,v6). [para(14506(a,2),13067(a,1,2,2))]. 14509 x * (K(y,T(z,x)) * K(T(z,x),L(y,u,w))) = K(z,T(L(y,u,w),x)) * (x * K(y,z)). [hyper(8311,a,14456,a(flip)),flip(a)]. 14510 x * (K(y,T(z,x)) * K(T(z,x),L(y,u,w))) = K(z,L(T(y,x),u,w)) * (x * K(y,z)). [para(40(a,2),14509(a,2,1,2))]. 14511 (K(x,K(y,z)) \ (u * w)) \ (u * (K(x,K(y,z)) * (w * v5))) = L(v5,K(x,K(y,z)) * w,u). [para(14386(a,2),14289(a,1,1))]. 14512 a(x,y,K(z,T(u,w))) = a(x,y,K(z,u)). [hyper(13137,a,14458,a)]. 14513 a(x,y,K(z,T(u,w))) = a(z,y,K(u,x)). [hyper(228,a,12990,a,b,14512,a)]. 14514 a(T(x,y),z,K(u,w)) = a(x,z,K(u,w)). [hyper(228,a,13053,a,b,14512,a(flip)),flip(a)]. 14515 K((x / y) / ((x * z) / (y * z)),u) = a(y,z,K(z \ (x \ 1),u)). [hyper(228,a,13840,a(flip),b,14512,a(flip)),flip(a)]. 14516 a(x,y,K(z,u / w)) = a(x,y,K(z,w \ u)). [para(115(a,1),14512(a,1,3,2)),flip(a)]. 14520 a(x,y,K(z * u,w)) = a(w,y,K(x,u * z)). [para(12365(a,1),14513(a,1,3)),flip(a)]. 14521 a(x,y,K(z,T(u,w))) != v5 | a(x,y,K(z,u)) = v5. [para(14513(a,2),13039(a,1))]. 14525 a(x / (1 / y),(1 / T(x * y,z)) * x,K(u,w)) = a(T(x / (1 / y),z),x,K(u,w)). [hyper(228,a,13086,a(flip),b,14514,a(flip))]. 14526 a(T(x,y),y \ 1,K(z,u)) = a(x,y \ (x \ 1),K(z,u)). [hyper(228,a,13085,a(flip),b,14514,a(flip)),flip(a)]. 14527 a(x / y,z,K(u,w)) = a(y \ x,z,K(u,w)). [para(115(a,1),14514(a,1,1)),flip(a)]. 14528 a((x \ y) \ y,z,K(u,w)) = a(x,z,K(u,w)). [para(114(a,1),14514(a,1,1))]. 14529 a((x \ 1) \ (y \ 1),z,K(u,w)) = a(y \ x,z,K(u,w)). [para(253(a,1),14514(a,1,1))]. 14530 a(x,y,K(z,u \ (x \ w))) = a(x,y,K(z,x \ (w / u))). [hyper(13095,a,14516,a),flip(a)]. 14531 a(x,y,K(z,(u * x) \ w)) = a(x,y,K(z,x \ (w / u))). [hyper(13094,a,14516,a),flip(a)]. 14532 a(x,y,K(z \ (u \ 1),w)) = a(x,y,K(w,z * u)). [hyper(228,a,13004,a,b,14520,a(flip)),flip(a)]. 14534 a(x,y,K(z / u,w)) != v5 | a(x,y,K(u \ z,w)) = v5. [para(7831(a,1),14521(a,1,3))]. 14535 a(T(x,y),z,K(u,w)) != v5 | a(x,z,K(u,w)) = v5. [para(13053(a,2),14521(a,1))]. 14537 a(x \ y,z,K(u,w)) != v5 | a(y / x,z,K(u,w)) = v5. [para(115(a,1),14535(a,1,1))]. 14538 a((x \ y) \ y,z,K(u,w)) != v5 | a(x,z,K(u,w)) = v5. [para(114(a,1),14535(a,1,1))]. 14539 a(x,y,K(z,u \ (w \ 1))) = a(z,y,K(x,u * w)). [hyper(13039,a,14532,a)]. 14541 a(x,y \ (x \ 1),K(z,u)) = a(x,y \ 1,K(z,u)). [hyper(14535,a,14526,a),flip(a)]. 14544 a(x * (y \ 1),z,K(u,w)) = a(y \ x,z,K(u,w)). [hyper(228,a,13108,a(flip),b,14529,a(flip)),flip(a)]. 14545 a((x * (y \ 1)) \ (z \ 1),u,K(w,v5)) = a(z \ (y / x),u,K(w,v5)). [para(120(a,1),14529(a,1,1,1))]. 14546 a(x \ (T(y,x) \ 1),z,K(u,w)) = a(x \ (y \ 1),z,K(u,w)). [hyper(228,a,13106,a(flip),b,14544,a(flip))]. 14547 a((1 / x) \ y,z,K(u,w)) = a(y * x,z,K(u,w)). [para(64(a,1),14544(a,1,1,2)),flip(a)]. 14548 a(x \ (y \ x),z,K(u,w)) = a(y \ 1,z,K(u,w)). [para(119(a,1),14544(a,1,1)),flip(a)]. 14549 T(a(x,y,z),a(x,y,z) \ (u / w)) = a(x,y,z) * a(u \ w,y,K(z,x)). [para(14544(a,1),13306(a,1,2)),flip(a)]. 14550 a(x / (1 / y),z,K(u,w)) = a(x * y,z,K(u,w)). [hyper(14537,a,14547,a)]. 14551 a(x,y,K(z,x \ (u / w))) = a(x,y,K(z,x \ (w \ u))). [hyper(13093,a,14531,a),flip(a)]. 14552 a(x,y,K(z,u \ (x \ w))) = a(x,y,K(z,x \ (u \ w))). [hyper(228,a,14530,a,b,14551,a(flip)),flip(a)]. 14553 a(x,y,K(z,x \ (u \ w))) * a(x,y,z) = T(a(x,y,z),x \ (w / u)). [para(14551(a,1),12974(a,1,1))]. 14554 a(x \ (y \ z),u,K(x,w)) = a(x,u,K(w,y \ (x \ z))). [hyper(228,a,12990,a(flip),b,14552,a),flip(a)]. 14555 a(x,y,K(z,x \ (u \ (x * w)))) = a(x,y,K(z,u \ w)). [para(13(a,1),14552(a,1,3,2,2)),flip(a)]. 14556 a(x,y,K(z,x \ (u \ w))) * a(x,y,z) = T(a(x,y,z),u \ (x \ w)). [para(14552(a,1),12974(a,1,1))]. 14557 a(x,y,K(z,x \ (u \ w))) != v5 | a(u \ (x \ w),y,K(x,z)) = v5. [para(14552(a,1),13039(a,1))]. 14558 x / (a(y,z,u * (K(w,u) / u)) * x) = a(u,z,K(y,w \ (u \ 1))). [hyper(228,a,13058,a,b,14554,a(flip)),flip(a)]. 14559 a(x \ (y \ 1),z,K(u,w)) = a(u,z,K(w,y \ (x \ 1))). [hyper(228,a,13449,a(flip),b,14546,a(flip))]. 14561 a(x,y,K(z,u \ (x \ 1))) = w / (a(z,y,K(u,x)) * w). [para(13124(a,1),14558(a,1,2)),flip(a)]. 14562 a(x,y,K(z,u \ (x \ 1))) = a(x,y,K(u,z)). [hyper(228,a,13006,a(flip),b,14561,a)]. 14563 a(x,y,K(z,x \ (u \ w))) = a(x,y,K(w \ u,z)). [hyper(13104,a,14562,a)]. 14564 a(x \ (y \ z),u,K(y,w)) = a(y,u,K(z \ x,w)). [hyper(14557,a,14563,a)]. 14565 a(x,y,K(z,(u * x) \ w)) = a(x,y,K(w \ u,z)). [hyper(228,a,13092,a,b,14563,a(flip)),flip(a)]. 14566 a(x,y,K((x * z) \ u,w)) = a(x,y,K(w,u \ z)). [hyper(228,a,14555,a(flip),b,14563,a(flip))]. 14567 a(x \ 1,y,K(z,u)) = a(z,y,K(z \ x,u)). [para(52(a,1),14564(a,1,1,2))]. 14568 a(x,y,K(z,u \ (z \ w))) = a(z,y,K(x,w \ u)). [hyper(228,a,13015,a(flip),b,14566,a(flip)),flip(a)]. 14569 a(x,y,K(z,K(u,w) * (z \ v5))) = a(z,y,K(x,v5 \ K(w,u))). [para(5035(a,1),14568(a,1,3,2))]. 14570 a(x,y,K(z,z \ (u \ w))) = a(z,y,K(x,w \ u)). [para(10602(a,1),14568(a,1,3))]. 14571 a(x,y,K(z \ 1,(u \ w) * z)) = a(z \ 1,y,K(x,w \ u)). [para(5537(a,1),14570(a,1,3))]. 14572 a(x,y,K(z \ 1,(u * T(T(w,w \ 1),v5)) * z)) = a(z \ 1,y,K(x,K(w,v5) \ (w \ (1 / u)))). [para(11573(a,1),14571(a,1,3,2,1))]. 14573 T(a(x,y,z),x \ (u / w)) != v5 | T(a(x,y,z),x \ (w \ u)) = v5. [para(14553(a,1),12976(a,1))]. 14574 T(a(x,y,z),u \ (x \ w)) != v5 | T(a(x,y,z),x \ (u \ w)) = v5. [para(14556(a,1),12976(a,1))]. 14575 a(x,y,K(z \ u,w)) * a(x,y,w) = T(a(x,y,w),u \ (x \ z)). [para(14563(a,1),14556(a,1,1))]. 14576 T(a(x,y,z),u \ (x \ w)) = T(a(x,y,z),z \ ((w \ u) \ 1)). [hyper(228,a,13126,a(flip),b,14575,a(flip))]. 14577 T(a(x,y,z),u \ (x \ w)) = T(a(x,y,z),z \ ((u \ 1) * w)). [hyper(228,a,9619,a(flip),b,14576,a)]. 14578 T(a(x,y,z),a(x,y,z) \ (u / w)) = T(a(x,y,z),z \ ((u \ w) \ 1)). [hyper(228,a,13102,a(flip),b,14549,a)]. 14579 T(a(x,y,z),a(x,y,z) \ (u / w)) = T(a(x,y,z),z \ ((w \ 1) * u)). [hyper(228,a,9619,a(flip),b,14578,a)]. 14580 T(a(x,y,z),z \ ((u \ 1) * w)) = T(a(x,y,z),z \ (w / u)). [hyper(228,a,13307,a(flip),b,14579,a(flip))]. 14581 T(a(x,y,z),z \ ((u \ 1) * w)) = T(a(x,y,z),z \ (u \ w)). [hyper(228,a,14421,a(flip),b,14580,a)]. 14582 T(a(x,y,z),u \ (x \ w)) = T(a(x,y,z),z \ (u \ w)). [hyper(228,a,14577,a,b,14581,a(flip)),flip(a)]. 14584 a(x * y,(1 / T(x * y,z)) * x,K(u,w)) = a(T(x / (1 / y),z),x,K(u,w)). [hyper(228,a,14550,a(flip),b,14525,a(flip)),flip(a)]. 14585 a(x * y,(1 / T(x * y,z)) * x,K(u,w)) = a(x / (1 / y),x,K(u,w)). [hyper(228,a,14514,a(flip),b,14584,a)]. 14587 a(x * y,(1 / T(x * y,z)) * x,K(u,w)) = a(x * y,x,K(u,w)). [hyper(228,a,14550,a(flip),b,14585,a)]. 14588 (K(x,K(y,z)) \ (u * w)) \ (K(x,K(y,z)) \ (u * (w * v5))) = L(v5,K(x,K(y,z)) * w,u). [para(14386(a,2),14511(a,1,2))]. 14589 L(L(x,y,z),z * y,K(K(u,w),v5)) = L(x,K(v5,K(u,w)) * y,z). [hyper(228,a,6368,a(flip),b,14588,a(flip)),flip(a)]. 14590 L(L(x,y,z),z * y,K(u,K(w,v5))) = L(x,K(v5,K(u,w)) * y,z). [para(7693(a,1),14589(a,1,3))]. 14591 L(x,K(y,K(z,u)) * w,v5) = L(x,w,v5). [hyper(228,a,14276,a(flip),b,14590,a(flip))]. 14594 K(((x \ y) * x) / (L(K(z,u),w,v5) * x),v6) = K(x \ (L(K(u,z),w,v5) * y),v6). [hyper(228,a,13818,a(flip),b,14494,a(flip)),flip(a)]. 14595 ((x * (K(y,K(z,u)) * (w * v5))) \ ((x * w) * v5)) * K(y,K(z,u)) = a(x,w,v5 * K(y,K(z,u))). [hyper(228,a,14375,a(flip),b,14367,a(flip)),flip(a)]. 14596 (x * (y * (z * K(u,K(w,v5))))) \ ((x * y) * (z * K(u,K(w,v5)))) = a(x,K(u,K(w,v5)) * y,z). [para(14391(a,1),14389(a,1,2))]. 14597 (((x * (y * z)) \ ((x * y) * z)) * K(u,K(w,v5))) * K(u,K(w,v5)) = a(x,y,z * K(u,K(w,v5))). [para(14413(a,1),14595(a,1,1))]. 14598 a(x,K(y,K(z,u)) * w,v5) = a(x,w,v5 * K(y,K(z,u))). [hyper(663,a,14596,a),flip(a)]. 14599 (a(x,y,z) * K(u,K(w,v5))) * K(u,K(w,v5)) = a(x,y,z * K(u,K(w,v5))). [para(24(a,2),14597(a,1,1,1))]. 14600 a(x,y,z) * (K(u,K(w,v5)) * K(u,K(w,v5))) = a(x,y,z * K(u,K(w,v5))). [hyper(14254,a,14599,a)]. 14601 a(x,y,z * K(u,K(w,v5))) = a(x,y,z) * 1. [para(7761(a,1),14600(a,1,2)),flip(a)]. 14602 a(x,y,z * K(u,K(w,v5))) = a(x,y,z). [hyper(228,a,12,a(flip),b,14601,a)]. 14603 a(x,y,z * K(u,K(w,v5))) != v6 | a(x,y,z) = v6. [para(14601(a,2),81(a,1)),flip(b)]. 14605 a(x,K(y,K(z,u)) * w,v5) = a(x,w,v5). [hyper(228,a,14598,a,b,14602,a(flip)),flip(a)]. 14607 a(x,K(y,z) * u,w) = a(x,u * K(y,z),w). [para(4671(a,1),14605(a,1,2)),flip(a)]. 14608 a(x,y * K(z,u),K(w,v5)) != v6 | a(v5,K(z,u) * y,K(x,w)) = v6. [para(14607(a,1),13039(a,1))]. 14611 K(x,y) \ ((L(K(x,y),z,u) * w) * K(v5,v6)) = (w * a(x,z,K(u,y))) * K(v5,v6). [para(14271(a,1),14420(a,1,1))]. 14612 K(x,y) \ (L(K(x,y),z,u) * (w * K(v5,v6))) = (w * a(x,z,K(u,y))) * K(v5,v6). [para(14314(a,1),14611(a,1,2))]. 14613 K(x,y) * (L(K(y,x),z,u) * (w * K(v5,v6))) = (w * a(y,z,K(u,x))) * K(v5,v6). [hyper(5072,a,14612,a)]. 14614 T(x * a(y,z,K(u,w)),K(y,w)) = L(K(y,w),z,u) * (x * K(w,y)). [hyper(8016,a,14613,a)]. 14615 a(x \ 1,y,K(z,K(u,w) \ (u \ (1 / v5)))) = a(z,y,K(x \ 1,(v5 * T(u,w)) * x)). [para(11575(a,1),14572(a,1,3)),flip(a)]. 14616 a(x \ 1,y,K(z,K(u,w) \ (u \ (1 / v5)))) = a(z,y,K(x \ 1,v5 * (T(u,w) * x))). [para(13833(a,1),14615(a,2,3))]. 14617 K(x,((K(y,z) * u) * L((K(z,y) \ u) \ u,w,v5)) \ v6) = K(x,(K(z,y) \ u) \ (L(K(y,z),w,v5) * v6)). [para(5035(a,1),14455(a,1,2,1,1))]. 14618 K(x,((K(y,z) * u) * L(K(z,T(y,u)),w,v5)) \ v6) = K(x,(K(z,y) \ u) \ (L(K(y,z),w,v5) * v6)). [para(7161(a,1),14617(a,1,2,1,2,1))]. 14619 K(x,(K(y,z) * (u * L(K(z,T(y,u)),w,v5))) \ v6) = K(x,(K(z,y) \ u) \ (L(K(y,z),w,v5) * v6)). [para(14312(a,1),14618(a,1,2,1))]. 14620 K(x,(K(y,z) * (L(K(z,y),u,w) * v5)) \ v6) = K(x,(K(z,y) \ v5) \ (L(K(y,z),u,w) * v6)). [para(7177(a,1),14619(a,1,2,1,2))]. 14621 K(x,(K(y,z) \ u) \ (L(K(z,y),w,v5) * v6)) = K(x,(a(y,w,K(v5,z)) * u) \ v6). [para(13021(a,1),14620(a,1,2,1)),flip(a)]. 14622 K((x \ (y * a(z,u,K(w,v5)))) \ 1,v6) = x \ (y * T(y \ x,v6)). [para(14356(a,1),14508(a,1,2,2,1)),flip(a)]. 14623 K((x \ (y * a(z,u,K(w,v5)))) \ 1,v6) = K((x \ y) \ 1,v6). [hyper(228,a,4952,a(flip),b,14622,a)]. 14625 K((T(x,y) \ y) \ 1,z) = K(((y * a(u,w,K(v5,v6))) / x) \ 1,z). [hyper(228,a,14490,a(flip),b,14623,a(flip))]. 14627 K(((x * a(y,z,K(u,w))) / v5) \ 1,v6) = K((x / v5) \ 1,v6). [hyper(228,a,12602,a(flip),b,14625,a(flip))]. 14628 K(x / (y * a(z,u,K(w,v5))),v6) = K((y / x) \ 1,v6). [hyper(6063,a,14627,a)]. 14629 K(x / (y * a(z,u,K(w,v5))),v6) = K(x / y,v6). [hyper(228,a,5619,a(flip),b,14628,a)]. 14630 K(x / (L(K(y,z),u,w) * v5),v6) = K(x / (K(y,z) * v5),v6). [para(14419(a,1),14629(a,1,1,2))]. 14631 K(x \ (L(K(y,z),u,w) * v5),v6) = K(((x \ v5) * x) / (K(z,y) * x),v6). [hyper(228,a,14594,a(flip),b,14630,a(flip)),flip(a)]. 14633 K(x \ (L(K(y,z),u,w) * v5),v6) = K(x \ (K(y,z) * (x * (x \ v5))),v6). [hyper(228,a,14398,a(flip),b,14631,a)]. 14634 K(x \ (L(K(y,z),u,w) * v5),v6) = K(x \ (K(y,z) * v5),v6). [para(14(a,1),14633(a,2,1,2,2))]. 14635 K(x \ ((K(y,z) * L(K(y,u) \ 1,w,v5)) * v6),v7) = K((x * K(z,y)) \ (K(u,y) * v6),v7). [hyper(228,a,14399,a,b,14634,a(flip)),flip(a)]. 14638 K(x \ ((K(y,z) * L(K(y,u) \ 1,w,v5)) * v6),v7) = K(x \ (K(y,z) * (K(u,y) * v6)),v7). [hyper(228,a,14380,a(flip),b,14635,a)]. 14639 K(x \ ((K(y,z) * L(K(y,z) \ 1,u,w)) * v5),v6) = K(x \ v5,v6). [para(5042(a,1),14638(a,2,1,2))]. 14640 K(x \ ((K(y,z) * L(K(z,y),u,w)) * v5),v6) = K(x \ v5,v6). [para(4879(a,1),14639(a,1,1,2,1,2,1))]. 14641 K(x \ (a(y,z,K(u,w)) * v5),v6) = K(x \ v5,v6). [para(9675(a,1),14640(a,1,1,2,1))]. 14642 K(x \ ((y * z) * K(u,w)),v5) = K(x \ (y * (z * K(u,w))),v5). [para(13203(a,1),14641(a,1,1,2))]. 14643 K((x * K(y,z)) \ (x * (u * K(y,z))),w) = K(u,w). [hyper(14443,a,14642,a),flip(a)]. 14644 K(L(T(x,K(y,z)),K(y,z),u),w) = K(x,w). [para(179(a,1),14643(a,1,1))]. 14645 K(L(x,K(y,z),u),T(w,K(y,z))) = K(x,w). [hyper(7639,a,14644,a)]. 14646 K(L(x,K(y,z),u),w) = K(x,w). [hyper(13661,a,14645,a)]. 14647 L(K(x,y),K(z,u),w) = K(x,y). [hyper(11425,a,14646,a)]. 14651 K((x * K(y,z)) \ u,w) = K((x \ u) * K(z,y),w). [hyper(228,a,13820,a(flip),b,14646,a(flip)),flip(a)]. 14652 K(x / (K(y,z) \ u),w) = K((x / u) * K(y,z),w). [hyper(228,a,13362,a(flip),b,14646,a(flip)),flip(a)]. 14656 K(x,y) * ((K(z,u) * x) * w) = (K(z,u) * T(x,y)) * w. [para(14646(a,1),13841(a,1,1))]. 14661 K(x,(y * K(z,u)) \ w) = K(x,K(z,u) \ (y \ w)). [hyper(228,a,11398,a(flip),b,14647,a(flip)),flip(a)]. 14662 K(x,(y \ z) \ K(u,w)) = K(x,z \ (y * K(u,w))). [hyper(228,a,6299,a(flip),b,14647,a(flip))]. 14664 (x * K(y,z)) * K(u,w) = x * (K(y,z) * K(u,w)). [para(14647(a,1),100(a,1,2))]. 14668 L(K(x,y),L(K(z,u),w,v5),v6) = K(x,y). [para(6100(a,1),14647(a,1,2))]. 14671 K(x,(y * L(K(z,u),w,v5)) \ v6) = K(x,L(K(z,u),w,v5) \ (y \ v6)). [hyper(228,a,11398,a(flip),b,14668,a(flip)),flip(a)]. 14675 K(x / (y * K(z,u)),w) = K((x / y) * K(u,z),w). [hyper(14004,a,14652,a)]. 14677 K(x / (K(y,z) * u),w) = K((x / u) * K(z,y),w). [para(5035(a,1),14652(a,1,1,2))]. 14678 K(x,K(y,z) \ (u \ w)) = K(x,u \ (K(y,z) \ w)). [hyper(228,a,14376,a(flip),b,14661,a(flip))]. 14682 x * (K(y,T(z,x)) * K(u,w)) = (K(y,z) * x) * K(u,w). [para(7174(a,1),14664(a,1,1)),flip(a)]. 14683 (x * K(y,z)) * K(u,w) = x * (K(u,w) * K(y,z)). [para(13652(a,1),14664(a,2,2))]. 14684 (x * K(y,z)) * K(u,w) = x * (K(w,u) \ K(y,z)). [para(13654(a,2),14664(a,2,2))]. 14685 K((K(x,y) * z) / u,w) = K((z / u) * K(x,y),w). [hyper(14431,a,14675,a)]. 14687 K((x / y) * K(z,u),w) = K(x * (y \ K(z,u)),w). [hyper(228,a,5646,a(flip),b,14677,a(flip))]. 14688 K(x,K(y,z) \ (u \ w)) = K(x,u \ (K(z,y) \ w)). [hyper(13768,a,14678,a)]. 14689 K(x,K(y,z) \ (u \ (z * w))) = K(x,u \ (T(z,y) * w)). [para(4987(a,1),14678(a,2,2,2))]. 14693 ((x * K(y,z)) * K(u,w)) / K(y,z) = x * K(u,w). [hyper(72,a,14664,a,b,14683,a)]. 14694 K(x,L(T(y,z),u,w)) * (z * K(v5,v6)) = z * (K(x,L(y,u,w)) * K(v5,v6)). [hyper(228,a,13899,a,b,14683,a(flip)),flip(a)]. 14696 1 / (x * (K(y,z) * K(u,w))) = K(z,y) / (x * K(u,w)). [para(14683(a,1),4898(a,1,2))]. 14698 (x * a(y,z,K(u,w))) * K(v5,v6) = x * (K(v5,v6) * K(a(y,z,u),w)). [para(12972(a,2),14683(a,1,1,2))]. 14699 (x * K(y,z)) * a(u,w,K(v5,v6)) = x * (K(a(u,w,v5),v6) * K(y,z)). [para(12972(a,2),14683(a,1,2))]. 14700 K(x,y) \ (L(K(y,x),z,u) \ w) = w * (K(x,y) \ K(L(x,z,u),y)). [hyper(228,a,14434,a,b,14684,a(flip)),flip(a)]. 14701 K((K(x,y) * z) / u,w) = K(z * (u \ K(x,y)),w). [hyper(228,a,14685,a,b,14687,a(flip)),flip(a)]. 14702 K(x,y \ (K(z,L(u,w,v5)) \ v6)) = K(x,K(z,u) \ (y \ v6)). [hyper(14479,a,14688,a),flip(a)]. 14704 K(x,y / (z * K(u,w))) * z = z * K(x,(z * K(u,w)) \ y). [hyper(228,a,14382,a(flip),b,14693,a(flip)),flip(a)]. 14707 ((x * K(y,z)) * K(u,(w * K(v5,v6)) \ v7)) / K(y,z) = x * K(u,K(v5,v6) \ (w \ v7)). [para(14661(a,1),14693(a,2,2))]. 14708 K(x * (y \ K(x,z)),u) = K(T(x,z) / y,u). [para(4712(a,2),14701(a,1,1,1)),flip(a)]. 14709 K(T(x,y) / z,z / T(x,y)) = K(z \ x,x \ z). [hyper(228,a,13763,a(flip),b,14708,a(flip))]. 14710 K(x \ T(y,z),T(y,z) \ x) = K(x \ y,y \ x). [hyper(7876,a,14709,a)]. 14711 K(x \ y,y \ x) / (z * x) = ((z * x) \ (y * z)) * (1 / (y * z)). [para(14710(a,1),10357(a,1,1))]. 14712 (K(x,y) * T(z,u)) \ ((K(x,y) * T(z,u)) * w) = L(w,K(x,y) * z,K(z,u)). [para(14656(a,1),13755(a,1,2))]. 14714 x * (K(y,T(z,x)) * K(u,w)) != v5 | K(y,z) * (x * K(u,w)) = v5. [para(14682(a,2),14311(a,1))]. 14715 K(x,K(y,z) * (u \ (y * w))) = K(x,u \ (T(y,z) * w)). [para(5035(a,1),14689(a,1,2))]. 14716 (K(x,y) / K(z,u)) / w = K(u,z) / (w * K(y,x)). [hyper(228,a,5135,a(flip),b,14696,a(flip)),flip(a)]. 14717 (K(x,y) * K(z,u)) / w = K(z,u) / (w * K(y,x)). [para(5063(a,1),14716(a,1,1))]. 14718 (K(x,y) * K(z,u)) / w = K(z,u) * (K(x,y) / w). [hyper(228,a,11067,a(flip),b,14717,a)]. 14719 (K(x,y) * K(z,u)) / w = K(x,y) / (w * K(u,z)). [para(13652(a,1),14717(a,1,1))]. 14721 K(x,y) / (z * K(u,w)) = K(w,u) * (K(x,y) / z). [hyper(228,a,14718,a(flip),b,14719,a(flip))]. 14722 K(x,y) * (K(z,u) / w) = K(z,u) * (K(x,y) / w). [hyper(228,a,11067,a(flip),b,14721,a(flip))]. 14723 (K(x,y) / z) * K(u \ w,w \ u) = K(x,y) * (K(u \ w,w \ u) / z). [hyper(2460,a,14722,a)]. 14724 K(x,y \ (L(K(z,u),w,v5) \ v6)) = K(x,K(z,u) \ (y \ v6)). [para(6313(a,1),14702(a,1,2,2,1))]. 14725 K(x,K(y,z) \ ((L(K(y,z),u,w) \ v5) \ v6)) = K(x,v5 \ v6). [hyper(228,a,14445,a(flip),b,14724,a(flip))]. 14727 K(x,K(y,z) \ ((K(L(y,u,w),z) \ v5) \ v6)) = K(x,v5 \ v6). [para(6341(a,1),14725(a,1,2,2,1,1))]. 14730 K(x,y / (z * K(u,w))) * z = z * K(x,(K(w,u) / z) * y). [para(5554(a,1),14704(a,2,2))]. 14731 K(x,y * (K(z,u) / w)) * w = w * K(x,(K(z,u) / w) * y). [para(5536(a,1),14730(a,1,1))]. 14732 K(x,(y * L(K(z,u),w,v5)) \ v6) = K(x,K(z,u) \ (y \ v6)). [hyper(228,a,14476,a(flip),b,14671,a)]. 14733 K(x,(y * L(K(z,u),w,v5)) \ v6) != v7 | K(x,K(z,u) \ (y \ v6)) = v7. [para(14671(a,2),14477(a,1))]. 14735 K(x,(K(y,z) \ (u * L(K(w,v5),v6,v7))) \ v8) = K(x,K(w,v5) \ ((K(y,z) \ u) \ v8)). [para(14337(a,2),14732(a,1,2,1))]. 14736 (x * a(y,z,K(u,w))) * K(v5,v6) = x * (K(v5,v6) * a(y,z,K(u,w))). [para(12972(a,2),14698(a,2,2,2))]. 14737 (x * K(y,z)) * a(u,w,K(v5,v6)) = x * (a(u,w,K(v5,v6)) * K(y,z)). [para(12972(a,2),14699(a,2,2,1))]. 14738 K(x,y) \ (L(K(y,x),z,u) \ w) = w * a(K(x,y),z,u). [para(13786(a,1),14700(a,2,2))]. 14739 K(x,y) \ (L(K(y,x),z,u) \ w) = a(K(y,x),z,u) \ w. [hyper(228,a,14360,a,b,14738,a)]. 14740 ((x * y) \ (z * x)) * (1 / (z * x)) = ((y \ z) * (1 / z)) / x. [hyper(228,a,6873,a(flip),b,14711,a(flip))]. 14742 L(x,y,z) \ (1 / (z * y)) = (((y * x) \ y) * (1 / y)) / z. [hyper(228,a,12410,a(flip),b,14740,a(flip)),flip(a)]. 14743 L(x,y,z) \ (1 / (z * y)) = (x \ (1 / y)) / z. [para(4558(a,1),14742(a,2,1))]. 14744 L(x,y \ 1,z \ y) \ z = (x \ (1 / (y \ 1))) / (z \ y). [para(255(a,1),14743(a,1,2))]. 14745 L(1 / x,y,z) \ (1 / (z * y)) = (x / y) / z. [para(320(a,1),14743(a,2,1))]. 14746 a(x,y,1 / (x * y)) = ((x * y) / y) / x. [hyper(6779,a,14745,a)]. 14747 a(x,y,1 / (x * y)) = x / x. [para(15(a,1),14746(a,2,1))]. 14748 a(x,y,1 / (x * y)) = 1. [hyper(228,a,58,a(flip),b,14747,a)]. 14750 (1 \ (x * y)) * (1 / (x * y)) = x * (y * (1 / (x * y))). [para(14748(a,1),14481(a,1,1,1))]. 14751 (x * y) * (1 / (x * y)) = x * (y * (1 / (x * y))). [para(51(a,1),14750(a,1,1))]. 14753 K(x * y,(x * y) \ 1) = x * (y * (1 / (x * y))). [hyper(1860,a,14751,a)]. 14754 K(x * y,y \ (x \ 1)) = x * (y * (1 / (x * y))). [hyper(228,a,5934,a(flip),b,14753,a(flip)),flip(a)]. 14755 x * (1 / ((y * K(z \ 1,z)) * x)) = K(x * z,z \ (x \ 1)) / y. [para(14754(a,2),6875(a,2,1))]. 14756 x \ K(y * z,z \ (y \ 1)) = (x \ y) * (z * (1 / (y * z))). [para(14754(a,2),10266(a,1,2))]. 14757 L(x,y \ 1,z \ y) \ z = (x \ y) / (z \ y). [para(61(a,1),14744(a,2,1,2))]. 14758 K(x * y,y \ (x \ 1)) * ((x \ 1) * z) = ((K(y \ 1,y) * x) \ x) / (z \ x). [hyper(228,a,11903,a(flip),b,14757,a(flip)),flip(a)]. 14759 (x \ (y * z)) * (1 / (y * z)) = (x \ y) * (z * (1 / (y * z))). [hyper(228,a,4365,a(flip),b,14756,a(flip)),flip(a)]. 14760 (x \ y) * ((z \ u) * (1 / (y * (z \ u)))) = x \ K(z \ (u * y),(u * y) \ z). [para(12116(a,1),14756(a,1,2)),flip(a)]. 14761 (x \ (y / z)) * (u * (1 / ((y / z) * u))) = x \ K(z \ (u * y),(u * y) \ z). [hyper(228,a,12118,a(flip),b,14759,a(flip))]. 14762 ((x * y) \ x) * (z * (1 / (x * z))) = y \ (z * (1 / (x * z))). [hyper(228,a,4562,a(flip),b,14759,a(flip))]. 14763 (x \ (y * (z \ 1))) * (((u \ 1) \ 1) * (1 / ((y * (z \ 1)) * ((u \ 1) \ 1)))) = (x \ ((u \ (z / y)) \ 1)) * (1 / ((y * (z \ 1)) * ((u \ 1) \ 1))). [para(627(a,1),14759(a,1,1,2)),flip(a)]. 14764 (x \ (x / y)) * (z * (1 / ((x / y) * z))) = y \ (z * (1 / ((x / y) * z))). [para(16(a,1),14762(a,1,1,1))]. 14765 x * (K(y,T(z,x)) * a(u,w,K(v5,v6))) = K(y,z) * (x * a(u,w,K(v5,v6))). [hyper(14489,a,14736,a),flip(a)]. 14766 (1 / ((a(x,y,K(z,u)) * K(w,v5)) * v6)) * K(w,v5) = (1 / v6) / a(x,y,K(z,u)). [hyper(72,a,321,a(flip),b,14737,a),flip(a)]. 14767 x \ (((x * K(a(y,z,K(u,w)) * K(v5,v6),v7)) * K(v5,v6)) * a(y,z,K(u,w))) = T(a(y,z,K(u,w)) * K(v5,v6),v7). [hyper(71,a,14737,a,b,5177,a(flip))]. 14769 x * (1 / (K(y \ 1,y) * (z * x))) = K(x * y,y \ (x \ 1)) / z. [para(3448(a,1),14755(a,1,2,2))]. 14770 x * ((1 / (y * x)) * K(z,z \ 1)) = K(x * z,z \ (x \ 1)) / y. [para(5048(a,1),14769(a,1,2))]. 14771 K(x * y,y \ (x \ 1)) / z = x * (y * (1 / ((z * x) * y))). [para(6841(a,1),14770(a,1,2)),flip(a)]. 14772 (x * y) * (1 / (z * (x * y))) = x * (y * (1 / ((z * x) * y))). [hyper(228,a,6842,a(flip),b,14771,a(flip)),flip(a)]. 14773 ((((x * (1 / ((y * (z \ 1)) * x))) \ z) * u) \ ((x * (1 / ((y * (z \ 1)) * x))) \ 1)) * (x * (1 / ((y * (z \ 1)) * x))) = u \ (((z \ 1) * x) * (1 / (y * ((z \ 1) * x)))). [para(14772(a,2),4530(a,2,2))]. 14776 x * (K(y,T(z,x)) * K(T(z,x),L(y,u,w))) = x * (K(z,L(y,u,w)) * K(y,z)). [hyper(228,a,14510,a,b,14694,a(flip)),flip(a)]. 14777 L(x,K(y,z) * u,K(u,w)) = x. [hyper(284,a,14712,a)]. 14780 (K(x,y) * (K(z,u) * x)) \ (K(x,y) * (K(z,u) * (x * w))) = L(w,x,K(z,u)). [hyper(228,a,447,a,b,14777,a(flip)),flip(a)]. 14781 (K(x,y) * T(z,u)) \ (K(z,u) * (K(x,y) * (z * w))) = L(w,z,K(x,y)). [para(13665(a,1),14780(a,1,1))]. 14782 (K(x,y) * T(z,u)) \ (K(x,y) * (T(z,u) * w)) = L(w,z,K(x,y)). [para(14429(a,1),14781(a,1,2))]. 14783 L(x,T(y,z),K(u,w)) = L(x,y,K(u,w)). [hyper(456,a,14782,a)]. 14785 K(x * y,y \ (x \ 1)) * ((x \ 1) * z) = K(y,y \ 1) / (z \ x). [para(2914(a,1),14758(a,2,1))]. 14786 K(x * y,y \ (x \ 1)) * ((x \ 1) * z) = y * (1 / ((z \ x) * y)). [hyper(228,a,6840,a(flip),b,14785,a)]. 14788 (x * (1 / (y * x))) * z = x * (1 / ((z \ y) * x)). [hyper(228,a,3535,a(flip),b,14786,a(flip)),flip(a)]. 14789 ((x * (1 / ((y \ z) * x))) * u) * ((y * u) \ ((x * (1 / (z * x))) \ 1)) = a(x * (1 / (z * x)),y,u). [para(14788(a,1),13168(a,2,1,1)),flip(a)]. 14790 x \ K(y \ (z * u),(z * u) \ y) = (x \ u) * (K(y \ z,z \ y) / u). [para(6843(a,1),14760(a,1,2)),flip(a)]. 14791 ((x * (y * (z \ 1))) \ y) * (K(z \ x,x \ z) / y) != u | T((z / y) / x,a(x,y,z \ 1) \ 1) = u. [para(14790(a,1),13206(a,1))]. 14792 (x \ (y / z)) * (u * (1 / ((y / z) * u))) = (x \ y) * (K(z \ u,u \ z) / y). [hyper(228,a,14790,a(flip),b,14761,a)]. 14793 (1 / ((a(x,y,K(z,u)) * K(w,v5)) * v6)) * K(w,v5) = (1 / v6) * a(u,y,K(z,x)). [hyper(228,a,13019,a(flip),b,14766,a)]. 14794 x * (K(y,T(z,x)) * K(z,T(L(y,u,w),x))) = x * (K(z,L(y,u,w)) * K(y,z)). [para(7202(a,1),14776(a,1,2,2))]. 14795 (x \ x) * (K(y \ z,z \ y) / x) = y \ (z * (1 / ((x / y) * z))). [hyper(228,a,14764,a(flip),b,14792,a(flip))]. 14796 x \ (y * (1 / ((z / x) * y))) = 1 * (K(x \ y,y \ x) / z). [para(52(a,1),14795(a,1,1)),flip(a)]. 14797 ((x \ y) * (1 / y)) * (x / z) = K(x \ y,y \ x) / z. [hyper(69,a,6897,a(flip),b,14796,a(flip)),flip(a)]. 14799 x * (K(y,T(z,x)) * K(z,L(T(y,x),u,w))) = x * (K(z,L(y,u,w)) * K(y,z)). [para(40(a,2),14794(a,1,2,2,2))]. 14800 K(x,y) * (z * K(y,L(T(x,z),u,w))) = z * (K(y,L(x,u,w)) * K(x,y)). [hyper(14714,a,14799,a)]. 14801 K(x,y) * (K(y,L(x,z,u)) * w) = w * (K(y,L(x,z,u)) * K(x,y)). [para(7283(a,1),14800(a,1,2))]. 14802 K(x,y) * (K(y,L(x,z,u)) * w) = w * a(y,z,K(u,x)). [para(13002(a,1),14801(a,2,2))]. 14803 K(x,y) * (K(y,L(x,z,u)) * a(y,z,u)) = T(a(y,z,u),x). [hyper(228,a,12973,a(flip),b,14802,a)]. 14804 K(x,(y * L(K(z,u),w,v5)) \ (K(v6,v7) \ v8)) = K(x,K(z,u) \ ((K(v7,v6) \ y) \ v8)). [hyper(228,a,14378,a(flip),b,14735,a(flip)),flip(a)]. 14805 K(x,K(y,z) \ ((K(u,w) \ v5) \ v6)) = K(x,K(y,z) \ (v5 \ (K(w,u) \ v6))). [hyper(14733,a,14804,a),flip(a)]. 14806 K(x,K(y,z) \ (u \ (K(z,L(y,w,v5)) \ v6))) = K(x,u \ v6). [hyper(228,a,14727,a(flip),b,14805,a(flip))]. 14807 K(x,K(y,z) \ (u \ (L(K(z,y),w,v5) \ v6))) = K(x,u \ v6). [para(6313(a,1),14806(a,1,2,2,2,1))]. 14808 K(x,y \ (K(z,u) \ (L(K(u,z),w,v5) \ v6))) = K(x,y \ v6). [hyper(228,a,14678,a(flip),b,14807,a(flip)),flip(a)]. 14809 K(x,y \ (a(K(z,u),w,v5) \ v6)) = K(x,y \ v6). [para(14739(a,1),14808(a,1,2,2))]. 14810 K(x,y \ (z * a(u,w,K(v5,v6)))) = K(x,y \ z). [para(14359(a,1),14809(a,1,2,2)),flip(a)]. 14811 K(x,y \ T(z * a(u,w,K(v5,v6)),K(v7,v8))) = K(x,y \ z). [hyper(14026,a,14810,a)]. 14812 K(x,y \ (L(K(z,u),w,v5) * (v6 * K(u,z)))) = K(x,y \ v6). [para(14614(a,1),14811(a,1,2,2))]. 14813 K(x,y \ ((L(K(z,u),w,v5) * v6) * K(u,z))) = K(x,y \ v6). [para(14314(a,2),14812(a,1,2,2))]. 14814 K(x,(K(y,z) * u) \ (L(K(y,z),w,v5) * v6)) = K(x,u \ v6). [hyper(14404,a,14813,a)]. 14815 K(x,(K(y,z) \ u) \ (L(K(z,y),w,v5) * v6)) = K(x,u \ v6). [para(5035(a,2),14814(a,1,2,1))]. 14816 K(x,(a(y,z,K(u,w)) * v5) \ v6) = K(x,v5 \ v6). [hyper(228,a,14621,a(flip),b,14815,a(flip)),flip(a)]. 14818 K(x,(y * a(z,u,K(w,v5))) \ v6) = K(x,y \ v6). [para(14300(a,1),14816(a,1,2,1))]. 14819 K(x,(y \ a(z,u,K(w,v5))) * v6) = K(x,y \ v6). [hyper(228,a,14438,a(flip),b,14818,a(flip)),flip(a)]. 14821 K(x,(a(y,z,K(u,w)) / v5) \ v6) = K(x,v5 * v6). [para(64(a,1),14819(a,1,2,1)),flip(a)]. 14822 ((x * K(y,z)) * K(u,(K(w,v5) / v6) * v7)) / K(y,z) = x * K(u,K(v5,w) \ (v6 \ v7)). [para(5554(a,1),14707(a,1,1,2))]. 14823 x * K(y,K(z,u) \ (w \ v5)) = x * K(y,(K(u,z) / w) * v5). [hyper(295,a,14822,a)]. 14824 x * K(y,(K(z,u) / w) * v5) = x * K(y,K(z,u) * (w \ v5)). [para(5035(a,1),14823(a,1,2,2)),flip(a)]. 14825 K(x,y * (K(z,u) / w)) * w = w * K(x,K(z,u) * (w \ y)). [hyper(228,a,14731,a,b,14824,a(flip)),flip(a)]. 14826 K(x,y * (z \ K(u,w))) * z = z * K(x,K(u,w) * (z \ y)). [para(13860(a,1),14825(a,1,1))]. 14827 K(x,(y \ K(z,u)) * w) = K(x,K(z,u) * (y \ w)). [hyper(13898,a,14826,a)]. 14828 K(x,y \ (K(z,u) * w)) = K(x,K(z,u) * (y \ w)). [hyper(14406,a,14827,a)]. 14829 K(x,y \ (z * K(u,w))) = K(x,K(u,w) * (y \ z)). [hyper(14396,a,14827,a)]. 14830 K(x,(y \ K(z,u)) * (w \ 1)) = K(x,K(z,u) / (w * y)). [hyper(228,a,5422,a(flip),b,14827,a)]. 14831 K(x,K(y,z) * ((u \ 1) \ w)) = K(x,(u * K(y,z)) * w). [hyper(228,a,5880,a(flip),b,14827,a(flip))]. 14832 K(x,((y \ (z \ K(u,w))) * K(v5,v6)) * v7) = K(x,K(v5,v6) * (((K(w,u) * z) * y) \ v7)). [para(5881(a,1),14827(a,1,2,1))]. 14833 K(x,K(y,L(z,u,w)) * (v5 \ (u * w))) = K(x,v5 \ ((K(y,z) * u) * w)). [para(13325(a,1),14828(a,1,2,2)),flip(a)]. 14834 K(x,(y \ z) \ K(u,w)) = K(x,K(u,w) * (z \ y)). [hyper(228,a,14662,a,b,14829,a(flip)),flip(a)]. 14835 K(x,K(y,z) * T(u * w,w \ (u \ 1))) = K(x,K(y,z) * ((u \ 1) \ w)). [hyper(228,a,13762,a,b,14834,a(flip)),flip(a)]. 14836 K(x,(y \ K(z,u)) / w) = K(x,K(z,u) / (w * y)). [hyper(5754,a,14830,a)]. 14837 K(x,K(y,z) / (u * w)) = K(x,w \ (u \ K(y,z))). [hyper(228,a,14452,a(flip),b,14836,a(flip))]. 14838 K(x,(y * z) \ K(u,w)) = K(x,z \ (y \ K(u,w))). [hyper(13658,a,14837,a)]. 14839 K(x,y \ ((z \ (u \ 1)) \ K(w,v5))) = K(x,K(w,v5) * (y \ (u * z))). [hyper(228,a,11080,a(flip),b,14837,a(flip))]. 14840 K(x,y \ ((((y \ z) * u) \ (y \ 1)) \ K(w,v5))) = K(x,(u \ ((z \ 1) * y)) \ K(w,v5)). [para(4530(a,1),14838(a,1,2,1)),flip(a)]. 14841 x / (a(y,z,K(u,w \ (v5 \ K(v6,v7)))) * x) = a((v5 * w) \ K(v6,v7),z,K(u,y)). [para(14838(a,1),13006(a,1,2,1,3))]. 14842 K(x,y \ ((K(z,u) * w) * v5)) = K(x,K(z,u) * (y \ (w * v5))). [hyper(228,a,14473,a(flip),b,14833,a(flip))]. 14844 K(x,K(y,z) * (((K(y,z) * u) * w) \ (u * (w * v5)))) = K(x,L(v5,w,K(y,z) * u)). [para(28(a,2),14842(a,1,2)),flip(a)]. 14845 K(x,K(y,z) * T(u * w,w \ (u \ 1))) = K(x,(u * K(y,z)) * w). [hyper(228,a,14831,a(flip),b,14835,a)]. 14846 K(x,K(y,z) * ((u \ (w \ 1)) \ 1)) = K(x,(w * K(y,z)) * u). [para(764(a,1),14845(a,1,2,2))]. 14847 K(x,K(y,z) / (u \ (w \ 1))) = K(x,(w * K(y,z)) * u). [hyper(5754,a,14846,a)]. 14848 K(x,(1 / K(y,z)) \ (u * w)) = K(x,(u * K(y,z)) * w). [para(324(a,1),14847(a,1,2))]. 14849 K(x,(y * K(z,u)) * w) != v5 | K(x,K(z,u) * (y * w)) = v5. [para(14848(a,1),6171(a,1))]. 14850 a((x * y) \ K(z,u),w,K(v5,v6)) != v7 | a(y \ (x \ K(z,u)),w,K(v5,v6)) = v7. [para(14841(a,1),13024(a,1))]. 14851 K(x,K(y,z) * (((K(u,w) * v5) * v6) \ v7)) = K(x,K(y,z) * ((v6 \ (v5 \ K(w,u))) * v7)). [hyper(14849,a,14832,a),flip(a)]. 14852 K(x,y \ ((((y \ z) * u) \ (y \ 1)) \ K(w,v5))) = K(x,K(w,v5) * (((z \ 1) * y) \ u)). [hyper(228,a,14834,a(flip),b,14840,a)]. 14853 K(x,K(y,z) * ((u \ (w \ K(z,y))) * (w * (u * v5)))) = K(x,L(v5,u,K(y,z) * w)). [hyper(228,a,14844,a(flip),b,14851,a(flip))]. 14854 K(x,K(y,z) * (u \ (u * ((u \ w) * v5)))) = K(x,K(y,z) * (((w \ 1) * u) \ v5)). [hyper(228,a,14839,a(flip),b,14852,a(flip)),flip(a)]. 14855 K(x,K(y,z) * (((u \ 1) * w) \ v5)) = K(x,K(y,z) * ((w \ u) * v5)). [para(13(a,1),14854(a,1,2,2)),flip(a)]. 14857 (x * (1 / ((y \ (z \ u)) * x))) * ((z * y) \ ((x * (1 / (u * x))) \ 1)) = a(x * (1 / (u * x)),z,y). [para(14788(a,1),14789(a,1,1))]. 14858 (x * (1 / ((y \ (z \ u)) * x))) * ((z * y) \ ((1 / (u * x)) \ (x \ 1))) = a(x * (1 / (u * x)),z,y). [para(118(a,1),14857(a,1,2,2))]. 14859 (x * (1 / ((y \ (z \ u)) * x))) * ((z * y) \ (u * K(x \ 1,x))) = a(x * (1 / (u * x)),z,y). [para(2874(a,1),14858(a,1,2,2))]. 14860 (x * (1 / ((y \ (z \ u)) * x))) * (K(x \ 1,x) * ((z * y) \ u)) = a(x * (1 / (u * x)),z,y). [para(4372(a,1),14859(a,1,2))]. 14861 x * (1 / (((K(x \ 1,x) * ((y * z) \ u)) \ (z \ (y \ u))) * x)) = a(x * (1 / (u * x)),y,z). [hyper(228,a,14788,a(flip),b,14860,a(flip)),flip(a)]. 14862 x * (1 / ((K(x,x \ 1) * (((y * z) \ u) \ (z \ (y \ u)))) * x)) = a(x * (1 / (u * x)),y,z). [para(4425(a,1),14861(a,1,2,2,1))]. 14863 x * (1 / ((K(x,x \ 1) * (a(1 / y,z,u) \ 1)) * x)) = a(x * (1 / (y * x)),z,u). [para(11977(a,1),14862(a,1,2,2,1,2))]. 14864 x * (1 / ((x * (1 / (a(1 / y,z,u) * x))) * x)) = a(x * (1 / (y * x)),z,u). [para(11722(a,1),14863(a,1,2,2,1))]. 14865 x * (1 / (x * (1 / ((x \ a(1 / y,z,u)) * x)))) = a(x * (1 / (y * x)),z,u). [para(14788(a,1),14864(a,1,2,2))]. 14866 x * ((x \ 1) * (x / (1 / (x \ a(1 / y,z,u))))) = a(x * (1 / (y * x)),z,u). [para(6847(a,1),14865(a,1,2))]. 14867 x * ((x \ 1) * (x / ((1 / a(1 / y,z,u)) * x))) = a(x * (1 / (y * x)),z,u). [para(326(a,1),14866(a,1,2,2,2))]. 14868 x * ((x \ 1) * (x / ((a(1 / y,z,u) \ 1) * x))) = a(x * (1 / (y * x)),z,u). [para(11721(a,1),14867(a,1,2,2,2,1))]. 14869 x * (x \ (1 / (a(1 / y,z,u) \ 1))) = a(x * (1 / (y * x)),z,u). [para(6866(a,1),14868(a,1,2))]. 14870 a(x * (1 / (y * x)),z,u) = x * (x \ a(1 / y,z,u)). [para(61(a,1),14869(a,1,2,2)),flip(a)]. 14871 a(x * (1 / (y * x)),z,u) = a(1 / y,z,u). [hyper(228,a,14,a(flip),b,14870,a)]. 14874 ((x \ y) / z) / (x \ (y / z)) = a(1 / (1 / z),y \ 1,x). [hyper(228,a,11077,a(flip),b,14871,a(flip)),flip(a)]. 14876 ((x \ y) / z) / (x \ (y / z)) = a(z,y \ 1,x). [hyper(228,a,3716,a(flip),b,14874,a)]. 14877 (K(x,K(y,z)) \ ((u * w) * v5)) / ((w * K(x,K(y,z))) * v5) = R(u,R(w,K(x,K(y,z)),v5),K(x,K(y,z)) * v5). [para(14386(a,2),14411(a,1,1))]. 14878 (x * (K(y,K(z,u)) * w)) \ (x * (K(y,K(z,u)) * (w * v5))) = L(v5,L(w,K(y,K(z,u)),x),K(y,K(z,u)) * x). [para(14402(a,1),14412(a,1,2))]. 14879 L(x,L(y,K(z,K(u,w)),v5),K(z,K(u,w)) * v5) != v6 | L(x,y,v5 * K(z,K(u,w))) = v6. [para(14412(a,1),14410(a,1))]. 14880 (K(x,y) * (T(z,u) * w)) \ (K(z,u) * ((K(x,y) * z) * w)) = L(a(x,z,K(w,y)),K(x,y) * (z * w),K(z,u)). [para(12987(a,1),14436(a,2,1))]. 14881 (K(x,K(y,z)) \ ((u * w) * v5)) / ((K(x,K(y,z)) \ w) * v5) = R(u,R(w,K(x,K(y,z)),v5),K(x,K(y,z)) * v5). [para(13718(a,2),14877(a,1,2,1))]. 14882 L(x,L(y,K(z,K(u,w)),v5),K(z,K(u,w)) * v5) = L(x,K(z,K(u,w)) * y,v5). [hyper(14371,a,14878,a),flip(a)]. 14883 L(x,K(y,K(z,u)) * w,v5) = L(x,w,v5 * K(y,K(z,u))). [hyper(14879,a,14882,a),flip(a)]. 14884 L(x,y,z * K(u,K(w,v5))) = L(x,y,z). [hyper(228,a,14591,a(flip),b,14883,a(flip))]. 14886 L(L(x,y,z),u,K(w,K(v5,v6))) = L(x,y,z * K(v7,K(v8,v9))). [hyper(228,a,14276,a,b,14884,a),flip(a)]. 14887 L(x,y,z * K(u,K(w,v5))) != v6 | L(x,y,z) = v6. [para(14886(a,1),334(a,1)),flip(b)]. 14888 L(x,y,K(z,T(u,w))) != v5 | L(x,y,K(z,u)) = v5. [para(7162(a,1),14887(a,1,3))]. 14891 (K(x,y) * (T(z,u) * w)) \ (K(z,u) * ((K(x,y) * z) * w)) = a(x,z,K(w,L(y,K(x,y) * (z * w),K(z,u)))). [hyper(228,a,11938,a,b,14880,a)]. 14892 (K(x,K(y,z)) \ ((u * w) * v5)) / (K(x,K(y,z)) \ (w * v5)) = R(u,R(w,K(x,K(y,z)),v5),K(x,K(y,z)) * v5). [para(14264(a,2),14881(a,1,2))]. 14893 (K(x,y) * (T(z,u) * w)) \ (K(z,u) * ((K(x,y) * z) * w)) = a(x,z,K(w,y)). [para(14305(a,1),14891(a,2,3))]. 14895 (K(x,y) * (T(z,u) * w)) \ ((K(x,y) * T(z,u)) * w) = a(x,z,K(w,y)). [para(14656(a,1),14893(a,1,2))]. 14896 a(K(x,y),T(z,u),w) = a(x,z,K(w,y)). [hyper(663,a,14895,a)]. 14897 a(x,T(y,z),K(u,w)) = a(x,y,K(u,w)). [hyper(12988,a,14896,a)]. 14898 a(T(x,y) \ (z \ 1),x * (1 / (z * x)),K(u,w)) = a(1 / (z * T(x,y)),x,K(u,w)). [hyper(228,a,13136,a,b,14897,a(flip)),flip(a)]. 14899 a(x,y / z,K(u,w)) = a(x,z \ y,K(u,w)). [para(115(a,1),14897(a,1,2)),flip(a)]. 14902 a(T(x,y) \ (z \ 1),x * (1 / (z * x)),K(u,w)) = a((z * T(x,y)) \ 1,x,K(u,w)). [hyper(228,a,14527,a(flip),b,14898,a)]. 14903 a(T(x,y) \ (z \ 1),x * (1 / (z * x)),K(u,w)) = a(T(x,y) \ (z \ 1),x,K(u,w)). [para(118(a,1),14902(a,2,1))]. 14904 K(x,K(y,z)) \ (((u * w) * v5) / (K(x,K(y,z)) \ (w * v5))) = R(u,R(w,K(x,K(y,z)),v5),K(x,K(y,z)) * v5). [hyper(14393,a,14892,a)]. 14905 R(x,R(y,K(z,K(u,w)),v5),K(z,K(u,w)) * v5) = ((x * y) * v5) / (y * v5). [hyper(228,a,14415,a(flip),b,14904,a(flip))]. 14907 R(x,R(y,K(z,K(u,w)),v5),K(z,K(u,w)) * v5) = R(x,y,v5). [hyper(228,a,30,a,b,14905,a)]. 14908 R(x,y,K(z,K(u,w)) * v5) = R(x,y,v5). [para(14407(a,1),14907(a,1,2))]. 14911 R(x,y,z * K(u,K(w,v5))) = R(x,y,z). [para(7326(a,1),14908(a,1,3))]. 14912 (x * y) * (z * K(u,K(w,y * z))) = R(x,y,z) * T(y * z,K(u,w)). [para(14911(a,1),8608(a,1,1)),flip(a)]. 14913 (R(x,y,z) * T(y * z,K(u,w))) * (T(y * z,K(u,w)) \ (x \ 1)) = a(x,y,z * K(u,K(w,y * z))). [para(14912(a,1),13170(a,1,1))]. 14915 a(x,y,z * K(u,K(w,y * z))) = R(x,y,z) * (x \ 1). [hyper(1588,a,14913,a),flip(a)]. 14916 a(x,y,z) = R(x,y,z) * (x \ 1). [hyper(14603,a,14915,a)]. 14917 a(x,y,z) = x \ R(x,y,z). [hyper(228,a,1147,a(flip),b,14916,a)]. 14920 a(x,y,K(y \ (z \ 1),u)) = a(z,K(u,x),y). [hyper(228,a,14363,a,b,14917,a),flip(a)]. 14925 x * (R(x,y,z) \ 1) = a(x,y,z) \ 1. [para(14917(a,2),3519(a,1,1)),flip(a)]. 14926 R(x,y,z) \ x = a(x,y,z) \ 1. [para(14917(a,2),3522(a,1,1)),flip(a)]. 14930 K(x,L(y,z,u)) * a(x,z,u) = R(T(x,y),z,u) * (x \ 1). [para(14917(a,2),13324(a,1,2))]. 14931 x \ L(x,y,K(z,u)) = a(x,y,K(z,u)). [para(13387(a,1),14917(a,2,2)),flip(a)]. 14933 T(x,K(y,R(z,u,w) \ z)) = x. [para(14926(a,2),14292(a,1,2,2))]. 14934 T(x,T(R(y,z,u) \ y,w)) = T(x,R(y,z,u) \ y). [hyper(7798,a,14933,a)]. 14936 ((x / y) / z) * ((x / (z * y)) \ 1) = a((x / y) / z,z,y) \ 1. [para(226(a,1),14925(a,1,2,1))]. 14937 x * a(x,y,K(z,u)) = L(x,y,K(z,u)). [para(14931(a,1),14(a,1,2))]. 14938 x * a(y,z,K(u,x)) = L(x,z,K(y,u)). [hyper(13087,a,14937,a)]. 14939 L(x,y,K(z,u)) = T(x,a(u,y,z)). [hyper(13030,a,14937,a),flip(a)]. 14942 T(x,R(y,z,u) \ y) = L(x,u,K(u \ (z \ (y \ 1)),z)). [hyper(228,a,13194,a(flip),b,14939,a),flip(a)]. 14943 a(x,y,K(z,u)) * (w * u) = w * L(u,y,K(x,z)). [para(14939(a,2),14362(a,2,2))]. 14944 (x * y) / T(x,L(y,z,u)) = L(y,z,K(u,x)). [hyper(11438,a,14938,a)]. 14945 (x * y) / T(L(x,z,K(u,w)),y) = a(x,z,K(w,u)) * y. [para(14938(a,1),14504(a,1,2,1))]. 14946 K(x,(y / z) / ((y * u) / (z * u))) = a(y,K(z,x),u). [hyper(14350,a,14920,a)]. 14947 K((x / y) / ((x * z) / (y * z)),u) = a(x,K(u,y),z). [hyper(228,a,14515,a,b,14920,a(flip)),flip(a)]. 14948 a(x,y,K(z,y * u)) = a(u,K(z,x),y). [hyper(228,a,14532,a(flip),b,14920,a(flip)),flip(a)]. 14949 a(x,y * K(z,u),K((y \ (w \ 1)) * K(u,z),v5)) = a(w,K(v5,x),y * K(z,u)). [para(14651(a,1),14920(a,1,3))]. 14950 (x * y) / T(x,L(y,y \ (z \ 1),u)) = L(y,z,K(x,u)). [hyper(228,a,13403,a(flip),b,14944,a)]. 14951 K(x,R(y,z,u) \ y) * T(x,w) = T(T(x,w),R(y,z,u) \ y). [hyper(8033,a,14934,a)]. 14953 a(x,y,K(z,u)) * (w * u) != w * v5 | L(u,y,K(x,z)) = v5. [para(14943(a,2),19(a,1))]. 14954 K(x,((y \ z) / u) / ((y \ 1) / (u * (z \ 1)))) = a(y \ z,K(u,x),z \ 1). [para(119(a,1),14946(a,1,2,2,1))]. 14955 K((x / y) / ((x * z) / (y * z)),u) * w = a(x,K(y,u),z) \ w. [para(14946(a,1),5035(a,1,1)),flip(a)]. 14956 T(x,R(y,z,u) \ y) = L(x,u,K(z,(y \ 1) \ u)). [hyper(228,a,13803,a(flip),b,14942,a)]. 14957 T(x,R(y,z,u) \ y) = L(x,u,K(z,y * u)). [para(5548(a,1),14956(a,2,3))]. 14958 T(x,R(y * z,u,z \ 1) \ (y * z)) = L(x,z \ 1,K(u,R(y,z,z \ 1))). [para(194(a,1),14957(a,2,3,2))]. 14959 T(x,R(T(y,z),u,T(w,y)) \ T(y,z)) = L(x,T(w,y),K(u,w * T(y,z))). [para(13666(a,1),14957(a,2,3))]. 14960 (x * y) / L(T(x,y),z,K(u,w)) = a(x,z,K(w,u)) * y. [para(40(a,2),14945(a,1,2))]. 14961 (x * y) / T(x,L(y,z \ 1,u)) = L(y,z,K(x,u)). [para(11435(a,1),14950(a,1,2))]. 14962 L(x,y \ 1,K(z,u)) = L(x,y,K(u,z)). [hyper(228,a,14944,a(flip),b,14961,a(flip)),flip(a)]. 14964 L(x,y,K(z,u)) \ (x * w) = a(x,y,K(u,z)) * w. [hyper(228,a,10698,a(flip),b,14960,a(flip)),flip(a)]. 14965 a(x,y \ (x \ 1),K(z,u)) * w = L(x,y,K(z,u)) \ (x * w). [para(13400(a,1),14964(a,1,1)),flip(a)]. 14966 K(x,y) * (R(T(y,x),z,u) * (y \ 1)) = T(a(y,z,u),x). [para(14930(a,1),14803(a,1,2))]. 14967 K(x,y) * (y \ R(T(y,x),z,u)) = T(a(y,z,u),x). [para(1692(a,1),14966(a,1,2))]. 14968 T(x,y) \ R(T(x,y),z,u) = T(a(x,z,u),y). [hyper(5008,a,14967,a)]. 14969 a(T(x,y),z,u) = T(a(x,z,u),y). [hyper(228,a,14917,a,b,14968,a(flip)),flip(a)]. 14970 a(T(x,a(y,z,u)),w,v5) = L(a(x,w,v5),z,K(u,y)). [hyper(228,a,14939,a,b,14969,a)]. 14971 a(x,y,z) * a(x,y,K(z,u)) = a(T(x,u),y,z). [hyper(228,a,12973,a,b,14969,a),flip(a)]. 14972 T(a(x,y,z),z \ (u \ w)) = a(T(x,u \ (x \ w)),y,z). [hyper(228,a,14582,a(flip),b,14969,a),flip(a)]. 14973 a(T(x,(x * y) \ z),y,z \ 1) = a(x,y,z \ 1). [hyper(228,a,14358,a(flip),b,14969,a)]. 14974 a(T(x,y \ (x \ z)),u,w) = T(a(x,u,w),x \ (y \ z)). [hyper(14574,a,14969,a(flip)),flip(a)]. 14975 a(T(x,x \ (y / z)),u,w) = T(a(x,u,w),x \ (z \ y)). [hyper(14573,a,14969,a(flip)),flip(a)]. 14976 a(x,y,z) * a(x,y,K(z,u)) = a(T(x,z \ u),y,z). [para(11500(a,1),14971(a,1,2))]. 14977 a(L(x,y,K(z,u)),w,v5) = L(a(x,w,v5),y,K(z,u)). [para(14939(a,2),14970(a,1,1))]. 14978 a(T(x,y \ (x \ z)),y,z \ 1) = a(x,y,z \ 1). [para(7095(a,1),14973(a,1,1))]. 14979 a(T(x,y \ z),u,y) = a(T(x,z),u,y). [hyper(228,a,14971,a(flip),b,14976,a(flip))]. 14980 a(T(x,y \ (z \ u)),w,y) = a(T(x,z \ (x \ u)),w,y). [hyper(228,a,14969,a,b,14972,a(flip)),flip(a)]. 14981 a(T(x,y \ (x \ z)),u,w) = a(T(x,x \ (y \ z)),u,w). [hyper(228,a,14969,a,b,14974,a)]. 14982 a(T(x,x \ (y / z)),u,w) = a(T(x,x \ (z \ y)),u,w). [hyper(228,a,14969,a,b,14975,a)]. 14983 a(T(x,y \ (x \ z)),u,w) = a(T(x,y \ z),u,w). [hyper(228,a,14979,a(flip),b,14980,a(flip))]. 14984 a(T(x,y \ z),y,z \ 1) = a(x,y,z \ 1). [hyper(228,a,14978,a(flip),b,14983,a(flip))]. 14985 a(T(x,x \ (y \ z)),u,w) = a(T(x,y \ z),u,w). [hyper(228,a,14983,a(flip),b,14981,a(flip))]. 14986 K(x,R(y,z,u) \ y) = L(T(x,w),u,K(z,y * u)) / T(x,w). [hyper(72,a,14957,a(flip),b,14951,a),flip(a)]. 14987 K(x,T(R(y,z,u) \ y,w)) = K(x,R(y,z,u) \ y). [hyper(18,a,7226,a,b,14951,a),flip(a)]. 14989 a(x,y \ (x \ 1),K(z,u)) * w = a(x,y,K(u,z)) * w. [hyper(228,a,14964,a(flip),b,14965,a)]. 14990 a(x,y \ 1,K(z,u)) * w = a(x,y,K(u,z)) * w. [para(14541(a,1),14989(a,1,1))]. 14991 a(x,y \ 1,K(z,u)) = a(z,y,K(x,u)). [hyper(13060,a,14990,a)]. 14992 a(x,(y * K(z \ 1,z)) \ 1,K(u,w)) = a(u,y,K(x,w)). [hyper(228,a,10884,a(flip),b,14991,a)]. 14993 a(x,(1 / y) * z,K(u,w)) = a(u,z \ y,K(x,w)). [hyper(228,a,10885,a(flip),b,14991,a(flip)),flip(a)]. 14994 a(x,(y \ 1) * ((z \ u) \ 1),K(w,v5)) = a(w,((1 / u) * z) \ y,K(x,v5)). [para(631(a,1),14991(a,1,2))]. 14995 a(x,y \ T(y * z,u),K(y * z,w)) = a(y * z,y,K(x,w)). [hyper(228,a,14587,a(flip),b,14993,a(flip))]. 14996 a(x,y * (1 / (z * y)),K(u,w)) = a(u,z,K(x,w)). [hyper(228,a,10892,a(flip),b,14992,a(flip)),flip(a)]. 14997 a(T(x,y) \ (z \ 1),x,K(u,w)) = a(u,z,K(T(x,y) \ (z \ 1),w)). [hyper(228,a,14903,a(flip),b,14996,a(flip)),flip(a)]. 14998 a(x,(y \ 1) * z,K(u,w)) = a(u,z \ y,K(x,w)). [para(255(a,1),14996(a,1,2,2))]. 14999 K(x,R(y,z,u) \ y) = T(x,w) \ L(T(x,w),u,K(z,y * u)). [hyper(228,a,4596,a(flip),b,14986,a)]. 15000 K(x,R(y,z,u) \ y) = a(T(x,w),u,K(z,y * u)). [hyper(228,a,14931,a(flip),b,14999,a)]. 15001 K(x,R(y,z,u) \ y) = a(x,u,K(z,y * u)). [hyper(228,a,14514,a(flip),b,15000,a)]. 15002 K(x,R(y,z,u) \ y) = a(z,u,K(y * u,x)). [hyper(228,a,12990,a,b,15001,a)]. 15003 K(x,R(y,z,u / ((1 / w) * v5)) \ y) = a(x,u / ((1 / w) * v5),K(z,y * ((u \ 1) \ (v5 \ w)))). [para(6430(a,1),15001(a,2,3))]. 15004 K(x,R(y,z,1 / u) \ y) = a(z,1 / u,K(y / u,x)). [para(5642(a,1),15002(a,2,3))]. 15005 K(x,R(y,z,1 / (u * y)) \ y) = a(z,1 / (u * y),K(u \ 1,x)). [para(5618(a,1),15004(a,2,3))]. 15006 a(x,K(y,z),u) \ w = a(x,K(z,y),u) * w. [para(14947(a,1),14955(a,1,1)),flip(a)]. 15008 K(x,R(y,z,1 / (u * y)) \ y) = a(z,(u * y) \ 1,K(u \ 1,x)). [hyper(228,a,14899,a(flip),b,15005,a)]. 15009 K(x,R(y,z,1 / (u * y)) \ y) = a(u \ 1,u * y,K(z,x)). [hyper(228,a,14991,a(flip),b,15008,a)]. 15010 T(x,R(T(y,z),u,T(w,y)) \ T(y,z)) = L(x,w,K(u,w * T(y,z))). [hyper(228,a,14783,a(flip),b,14959,a)]. 15012 T(x,R(y,z,T(u,y)) \ y) = L(x,u,K(z,u * T(y,w))). [hyper(228,a,14475,a(flip),b,15010,a(flip)),flip(a)]. 15014 T(x,R(y,z,T(u,y)) \ y) = L(x,u,K(z,y * u)). [para(113(a,1),15012(a,2,3,2))]. 15015 a(x,((y \ z) \ 1) \ u,K(w,v5)) = a(x,((1 / z) * y) \ u,K(w,v5)). [hyper(228,a,14998,a(flip),b,14994,a(flip)),flip(a)]. 15016 a(x \ (((y \ 1) \ 1) \ x),((1 / 1) * y) \ x,K(z,u)) = a(((x \ (y \ x)) \ 1) \ 1,x,K(z,u)). [hyper(228,a,13138,a(flip),b,15015,a(flip))]. 15017 K(x,((y \ z) / u) / ((1 / (y \ 1)) \ (z / u))) = a(y \ z,K(u,x),z \ 1). [para(325(a,1),14954(a,1,2,2))]. 15018 T(x,R(y * z,u,z \ 1) \ (y * z)) = L(x,z \ 1,K(u,y)). [para(12390(a,1),14958(a,2,3))]. 15019 T(x,R(y * z,u,z \ 1) \ (y * z)) = L(x,z,K(y,u)). [hyper(228,a,14962,a(flip),b,15018,a)]. 15021 K(x,((y \ z) / u) / (y \ (z / u))) = a(y \ z,K(u,x),z \ 1). [para(61(a,1),15017(a,1,2,2,1))]. 15022 a(x \ y,K(z,u),y \ 1) = K(u,a(z,y \ 1,x)). [para(14876(a,1),15021(a,1,2)),flip(a)]. 15023 a(x \ y,K(z,u),y \ 1) = a(u,y \ 1,K(x,z)). [hyper(228,a,13008,a,b,15022,a)]. 15024 a(x \ y,K(z,u),y \ 1) = a(x,y,K(u,z)). [hyper(228,a,14991,a(flip),b,15023,a)]. 15025 a(x,y * K(z,u),K((w * y) \ K(u,z),v5)) = a(w,K(v5,x),y * K(z,u)). [para(5190(a,1),14949(a,1,3,1))]. 15026 K(x,R(y,z,1 / ((1 / u) * w)) \ y) = a(x,1 / ((1 / u) * w),K(z,y * (w \ u))). [para(126(a,1),15003(a,2,3,2,2))]. 15027 K(x,R(y,z,1 / ((1 / u) * y)) \ y) = a(x,1 / ((1 / u) * y),K(z,u)). [para(14(a,1),15026(a,2,3,2))]. 15028 K(x,R(y,z,1 / ((1 / u) * y)) \ y) = a(x,((1 / u) * y) \ 1,K(z,u)). [hyper(228,a,14899,a(flip),b,15027,a)]. 15029 K(x,R(y,z,1 / ((1 / u) * y)) \ y) = a(x,y \ ((1 / u) \ 1),K(z,u)). [para(118(a,1),15028(a,2,2))]. 15030 K(x,R(y,z,1 / ((1 / u) * y)) \ y) = a(x,y \ u,K(z,u)). [para(64(a,1),15029(a,2,2,2))]. 15031 a(x \ (((y \ 1) \ 1) \ x),(1 * y) \ x,K(z,u)) = a(((x \ (y \ x)) \ 1) \ 1,x,K(z,u)). [para(58(a,1),15016(a,1,2,1,1))]. 15032 a(x \ (((y \ 1) \ 1) \ x),y \ x,K(z,u)) = a(((x \ (y \ x)) \ 1) \ 1,x,K(z,u)). [para(11(a,1),15031(a,1,2,1))]. 15034 a(((x \ (y \ x)) \ 1) \ 1,x,K(z,u)) = a(((y \ 1) \ 1) \ 1,y \ x,K(z,u)). [hyper(228,a,14548,a(flip),b,15032,a(flip))]. 15036 a(((x \ (y \ x)) \ 1) \ 1,x,K(z,u)) = a(y \ 1,y \ x,K(z,u)). [hyper(228,a,14528,a(flip),b,15034,a)]. 15038 a(x \ (((y \ 1) \ 1) \ x),x,K(z,u)) = a(y \ 1,y \ x,K(z,u)). [para(3095(a,1),15036(a,1,1))]. 15039 a(((x \ 1) \ 1) \ 1,y,K(z,u)) = a(x \ 1,x \ y,K(z,u)). [hyper(228,a,14548,a(flip),b,15038,a(flip)),flip(a)]. 15040 a(x \ 1,x \ y,K(z,u)) = a(x \ 1,y,K(z,u)). [hyper(14538,a,15039,a),flip(a)]. 15043 a(x \ 1,x * y,K(z,u)) = a(x \ 1,y,K(z,u)). [para(13(a,1),15040(a,1,2)),flip(a)]. 15044 K(x,R(y,z,1 / (u * y)) \ y) = a(u \ 1,y,K(z,x)). [hyper(228,a,15009,a,b,15043,a(flip)),flip(a)]. 15045 a((1 / x) \ 1,y,K(z,u)) = a(u,y \ x,K(z,x)). [hyper(228,a,15030,a(flip),b,15044,a(flip))]. 15046 a(x,y \ z,K(u,z)) = a(z,y,K(u,x)). [para(64(a,1),15045(a,1,1)),flip(a)]. 15047 a(x \ 1,y,K(z,u)) = a(z,y \ x,K(u,x)). [hyper(228,a,13034,a,b,15046,a),flip(a)]. 15048 a(x,y \ z,K(u,z \ 1)) = a(z \ 1,y,K(u,x)). [hyper(228,a,13012,a,b,15047,a),flip(a)]. 15049 a(x,(y * K(z,u)) / w,K(v5,(1 / w) \ 1)) = a((1 / w) \ 1,K(u,z) / y,K(v5,x)). [para(5133(a,1),15048(a,1,2))]. 15050 a((1 / x) \ 1,K(y,z) / u,K(w,v5)) = a(v5,(u * K(z,y)) / x,K(w,x)). [para(64(a,1),15049(a,1,3,2)),flip(a)]. 15051 a((1 / x) \ 1,K(y,z) / u,K(w,v5)) = a(v5,x \ (u * K(z,y)),K(w,x)). [hyper(228,a,14899,a(flip),b,15050,a)]. 15052 a((1 / x) \ 1,K(y,z) / u,K(w,v5)) = a(x,u * K(z,y),K(v5,w)). [hyper(228,a,13084,a(flip),b,15051,a)]. 15053 a(x,K(y,z) / u,K(w,v5)) = a(x,u * K(z,y),K(v5,w)). [para(64(a,1),15052(a,1,1))]. 15054 a(x,y \ K(z,u),K(w,v5)) = a(x,y * K(u,z),K(v5,w)). [hyper(228,a,14899,a(flip),b,15053,a(flip)),flip(a)]. 15055 ((x / y) / z) * ((x / (z * y)) \ K(z \ (x / y),a(z,y,x \ 1) \ 1)) = (a(z,y,x \ 1) \ 1) \ 1. [para(13181(a,1),14433(a,2,1))]. 15056 ((x / y) / z) * ((x / (z * y)) \ K(z \ (x / y),a(z,y,x \ 1) \ 1)) = a(z,y,x \ 1). [hyper(228,a,11720,a(flip),b,15055,a)]. 15057 x \ (((x * K(K(y,z),u)) * K(y,z)) * a(w,v5,K(v6,v7))) = T(a(w,v5,K(v6,v7)) * K(y,z),u). [para(14501(a,1),14767(a,1,2,1,1,2))]. 15058 x \ (((x * K(y,K(z,u))) * K(y,z)) * a(w,v5,K(v6,v7))) = T(a(w,v5,K(v6,v7)) * K(y,z),u). [para(7693(a,1),15057(a,1,2,1,1,2))]. 15060 x \ ((x * (K(y,z) * K(y,K(z,u)))) * a(w,v5,K(v6,v7))) = T(a(w,v5,K(v6,v7)) * K(y,z),u). [para(14390(a,1),15058(a,1,2,1))]. 15061 x \ ((x * K(y,T(z,u))) * a(w,v5,K(v6,v7))) = T(a(w,v5,K(v6,v7)) * K(y,z),u). [para(7706(a,1),15060(a,1,2,1,2))]. 15062 T(a(x,y,K(z,u)) * K(w,v5),v6) = K(w,T(v5,v6)) * a(x,y,K(z,u)). [hyper(5707,a,15061,a),flip(a)]. 15063 x * T(a(y,z,K(u,w)) * K(v5,v6),x) = K(v5,v6) * (x * a(y,z,K(u,w))). [para(15062(a,2),14765(a,1,2))]. 15064 (a(x,y,K(z,u)) * K(w,v5)) * v6 = K(w,v5) * (v6 * a(x,y,K(z,u))). [hyper(219,a,15063,a)]. 15065 (1 / (K(x,y) * (z * a(u,w,K(v5,v6))))) * K(x,y) = (1 / z) * a(v6,w,K(v5,u)). [para(15064(a,1),14793(a,1,1,2))]. 15066 ((1 / (x * a(y,z,K(u,w)))) * K(v5,v6)) * K(v6,v5) = (1 / x) * a(w,z,K(u,y)). [para(5048(a,1),15065(a,1,1))]. 15067 ((a(x,y,K(z,u)) / w) * K(v5,v6)) * K(v6,v5) = (1 / w) * a(x,y,K(z,u)). [para(13098(a,1),15066(a,1,1,1))]. 15068 (1 / x) * a(y,z,K(u,w)) = a(y,z,K(u,w)) / x. [hyper(5065,a,15067,a)]. 15069 K(x,(a(y,z,K(u,w)) / v5) \ v6) = K(x,(a(y,z,K(u,w)) \ v5) * v6). [para(15068(a,1),5544(a,1,2,1))]. 15070 K(x,(a(y,z,K(u,w)) \ v5) * v6) = K(x,v5 * v6). [hyper(228,a,14821,a(flip),b,15069,a(flip))]. 15072 K(x,((y * z) \ K(u,w)) * v5) = K(x,(z \ (y \ K(u,w))) * v5). [hyper(228,a,12994,a(flip),b,15070,a(flip))]. 15074 K(x,(y \ (z \ K(u,w))) * v5) = K(x,K(u,w) * ((z * y) \ v5)). [hyper(228,a,14827,a(flip),b,15072,a(flip))]. 15075 K(x,K(y,z) * ((((u \ K(z,y)) \ 1) * w) \ v5)) = K(x,(u * w) \ v5). [hyper(228,a,11734,a(flip),b,15074,a(flip))]. 15076 K(x,K(y,z) * ((u \ (w \ K(z,y))) * v5)) = K(x,(w * u) \ v5). [hyper(228,a,14855,a(flip),b,15075,a(flip)),flip(a)]. 15077 K(x,L(y,z,K(u,w) * v5)) = K(x,(v5 * z) \ (v5 * (z * y))). [hyper(228,a,14853,a(flip),b,15076,a(flip)),flip(a)]. 15079 K(x,L(y,z,K(u,w) * v5)) = K(x,L(y,z,v5)). [para(28(a,2),15077(a,2,2))]. 15080 a(K(x,y) * z,u,K(w,v5)) = K(w,v5) * K(v5,L(w,u,z)). [para(15079(a,1),11406(a,1,2)),flip(a)]. 15081 a(K(x,y) * z,u,K(w,v5)) = a(v5,u,K(z,w)). [hyper(228,a,13001,a(flip),b,15080,a)]. 15082 a(x,y,K(K(z,u) * w,v5)) = a(x,y,K(w,v5)). [hyper(13039,a,15081,a)]. 15083 a(x,y,K(z,K(u,w) * v5)) = a(z,y,K(v5,x)). [hyper(13033,a,15081,a)]. 15084 a(T(x,y) \ z,u,K(w,v5)) = a(v5,u,K(x \ z,w)). [para(5004(a,1),15081(a,1,1))]. 15085 a(x,y,K(K(z,u) / (w * v5),v6)) = a(x,y,K(v5 \ (w \ 1),v6)). [para(5645(a,1),15082(a,1,3))]. 15086 a(x,y,K(x \ z,u)) = a(x,y,K(u,z \ K(w,v5))). [hyper(228,a,14569,a(flip),b,15083,a(flip))]. 15087 a(x,y,K(T(z,u) * w,v5)) = a(v5,y,K(x,z * w)). [para(4681(a,1),15083(a,1,3,2)),flip(a)]. 15088 a(x,y,K(z,u \ (T(w,v5) * v6))) = a(z,y,K(u \ (w * v6),x)). [para(14715(a,1),15083(a,1,3))]. 15089 a(x,y,K(T(z,u) \ (y \ 1),w)) = a(w,z,K(z \ (y \ 1),x)). [hyper(228,a,14997,a(flip),b,15084,a(flip)),flip(a)]. 15091 a(x,y,K(z,u \ K(w,v5))) = a(u \ 1,y,K(x,z)). [hyper(228,a,14567,a,b,15086,a(flip))]. 15092 a(T(x,y) * z,u,K(w,v5)) = a(w,u,K(v5,x * z)). [hyper(13033,a,15087,a)]. 15093 a(x \ K(y,z),u,K(w,v5)) = a(x \ 1,u,K(w,v5)). [hyper(13039,a,15091,a)]. 15094 a(x,y,K(z,(u / w) * v5)) = a(x,y,K(z,(w \ u) * v5)). [hyper(228,a,13025,a(flip),b,15092,a(flip))]. 15095 a(x \ (y \ K(z,u)),w,K(v5,v6)) = a((y * x) \ 1,w,K(v5,v6)). [hyper(14850,a,15093,a)]. 15097 x / (a(y,z,K(u,(w \ v5) * v6)) * x) = a((w * (v5 \ 1)) \ v6,z,K(u,y)). [para(15094(a,1),13057(a,1,2,1))]. 15098 a(x,y,K((z * u) \ K(w,v5),v6)) = a(x,y,K(u \ (z \ 1),v6)). [hyper(14534,a,15085,a)]. 15099 a(x,y,K((1 / z) \ (u * w),v5)) = a(v5,y,K(x,z * (T(u,v6) * w))). [para(5540(a,1),15088(a,1,3)),flip(a)]. 15101 a(x,y,K(T(z,u) \ (y \ 1),w)) = a(y,K(x,w),z). [hyper(228,a,14920,a(flip),b,15089,a)]. 15102 a(x,y,K(z \ (y \ 1),u)) = a(y,K(x,u),z). [para(112(a,1),15101(a,1,3,1,1))]. 15103 a(x,y,K(y * z,u)) = a(y,K(u,x),z). [hyper(13041,a,15102,a)]. 15104 a(x \ (y \ 1),y,K(z,u)) = a(y,K(u,z),x). [hyper(13033,a,15102,a)]. 15105 a(x,y,K(z,y \ (u \ 1))) = a(y,K(z,x),u). [hyper(228,a,14559,a(flip),b,15104,a(flip)),flip(a)]. 15106 a(x \ (y \ 1),x,K(z,u)) = a(x,K(u,z),y). [hyper(13039,a,15105,a)]. 15107 a(x \ (y \ K(z,u)),x,K(w,v5)) = a(x,K(v5,w),K(u,z) * y). [para(4893(a,1),15106(a,1,1,2))]. 15108 a(x \ (y \ K(z,u)),w,K(v5,v6)) = a(x \ (y \ 1),w,K(v5,v6)). [para(118(a,1),15095(a,2,1))]. 15109 a(x,y * K(z,u),K(y \ (w \ 1),v5)) = a(w,K(v5,x),y * K(z,u)). [hyper(228,a,15025,a(flip),b,15098,a(flip))]. 15110 a(x \ (y \ 1),x,K(z,u)) = a(x,K(u,z),K(w,v5) * y). [hyper(228,a,15107,a(flip),b,15108,a(flip))]. 15113 a(x,K(y,z),K(u,w) * v5) = a(x,K(y,z),v5). [hyper(228,a,15106,a(flip),b,15110,a(flip))]. 15114 a(x,K(y,z),(u / w) * v5) = a(x,K(y,z),(w \ u) * v5). [para(5010(a,1),15113(a,1,3))]. 15115 a(x,K(y,z),(u / w) * K(v5 \ v6,v6 \ v5)) = a(x,K(y,z),w \ u). [hyper(228,a,10855,a(flip),b,15114,a)]. 15116 a(x,y,K(z,u * (T(w,v5) * v6))) = a(z,y,K(u * (w * v6),x)). [para(5634(a,1),15099(a,1,3)),flip(a)]. 15117 a(x \ 1,y,K(z * (u * x),w)) = a(x \ 1,y,K(w,K(u,v5) \ (u \ (1 / z)))). [hyper(228,a,14616,a,b,15116,a(flip))]. 15119 a(x \ y,K(z,u),(y \ 1) * K(w,v5)) = a(u,(y \ 1) * K(w,v5),K((x \ 1) \ 1,z)). [para(257(a,1),15109(a,1,3,1)),flip(a)]. 15120 a(x,K(y,z),K(u,w) * (K(v5 \ v6,v6 \ v5) / v7)) = a(x,K(y,z),v7 \ K(u,w)). [para(14723(a,1),15115(a,1,3))]. 15121 a((x * (y \ 1)) \ z,u,K(w,v5)) = a((x \ y) * z,u,K(w,v5)). [hyper(13024,a,15097,a),flip(a)]. 15122 a((x \ y) * (z \ 1),u,K(w,v5)) = a(z \ (y / x),u,K(w,v5)). [hyper(228,a,14545,a(flip),b,15121,a(flip))]. 15123 a(x \ (y / z),u,K(w,v5)) = a(x \ (z \ y),u,K(w,v5)). [hyper(228,a,14544,a(flip),b,15122,a(flip))]. 15125 a(x \ 1,y,K(z * (u * x),w)) = a(x \ 1,y,K(w,T(u,v5) \ (1 / z))). [para(4718(a,1),15117(a,2,3,2))]. 15126 a(x \ 1,y,K(z * (u * x),w)) = a(x \ 1,y,K(w,T(u,v5) \ (z \ 1))). [para(5388(a,1),15125(a,2,3))]. 15127 a(x \ 1,y,K(z * (u * x),w)) = a(x \ 1,y,K(w,u \ (z \ 1))). [para(112(a,1),15126(a,2,3,2,1))]. 15128 a(x \ 1,y,K(z,u \ (w \ 1))) = a(x,y,K(z,w * (u * x))). [hyper(13051,a,15127,a),flip(a)]. 15129 a(x,y,K(z \ 1,u * w)) = a(z,y,K(x,w * (u * z))). [hyper(228,a,14539,a(flip),b,15128,a(flip)),flip(a)]. 15130 a(x,y,K(z,u * (w * x))) != v5 | a(z,y,K(w * u,x)) = v5. [para(15129(a,1),13080(a,1))]. 15131 a(x,K(y,z),u \ K(w,v5)) = a(x,K(y,z),K(v6 \ v7,v7 \ v6) / u). [hyper(228,a,15113,a(flip),b,15120,a(flip))]. 15133 a(x,K(y,z),u \ K(w,v5)) != v6 | a(x,K(y,z),u \ 1) = v6. [para(15131(a,2),10860(a,1))]. 15134 a(x \ y,K(z,u),(y \ 1) * K(w,v5)) = a(u,y \ K(w,v5),K((x \ 1) \ 1,z)). [para(5131(a,1),15119(a,2,2))]. 15135 a(x \ y,K(z,u),(y \ 1) * K(w,v5)) = a(u,y \ K(w,v5),K(x,z)). [para(2857(a,1),15134(a,2,3))]. 15136 a(x \ y,K(z,u),y \ K(w,v5)) = a(u,y \ K(w,v5),K(x,z)). [para(5131(a,1),15135(a,1,3))]. 15137 a(x \ y,K(z,u),y \ K(w,v5)) = a(u,y * K(v5,w),K(z,x)). [hyper(228,a,15054,a(flip),b,15136,a)]. 15138 a(x \ y,K(z,u),y \ 1) = a(u,y * K(w,v5),K(z,x)). [hyper(15133,a,15137,a)]. 15139 a(x,y * K(z,u),K(w,v5)) = a(v5,y,K(x,w)). [hyper(228,a,15024,a(flip),b,15138,a(flip))]. 15140 a(x,K(y,z) * u,K(w,v5)) = a(x,u,K(w,v5)). [hyper(14608,a,15139,a)]. 15142 a(x,y \ T(y * z,u),K(w,v5)) = a(x,z,K(w,v5)). [para(5478(a,1),15140(a,1,2)),flip(a)]. 15144 a(x * y,x,K(z,u)) = a(z,y,K(x * y,u)). [hyper(228,a,14995,a(flip),b,15142,a(flip)),flip(a)]. 15146 a(x * y,x,K(z,u)) = K(u,R(x,z,y) \ x). [hyper(228,a,15002,a,b,15144,a)]. 15147 a(T(x,y) * z,x,K(u,w)) = a(u,z,K(T(x,y) * z,w)). [hyper(228,a,14897,a(flip),b,15144,a(flip)),flip(a)]. 15148 K(x,T(R(y,z,u) \ y,w)) = a(y * u,y,K(z,x)). [hyper(228,a,14987,a,b,15146,a),flip(a)]. 15149 a(x * y,x,K(z,u)) * (w * u) = w * T(u,R(x,z,y) \ x). [para(15148(a,1),8225(a,1,1))]. 15150 a(T(x,y) * z,x,K(u,w)) = a(w,z,K(u,x * z)). [hyper(228,a,15087,a(flip),b,15147,a)]. 15152 a(x,y,K(z,u * y)) = a(z,u,K(x,u * y)). [hyper(228,a,15092,a(flip),b,15150,a(flip))]. 15153 a(x,y,K(z,u * (y * x))) = a(z,u,K(x,u * (y * x))). [hyper(228,a,13032,a(flip),b,15152,a(flip)),flip(a)]. 15154 a(x,y,K(y * z,u)) = a(x,z,K(u,z * (y * u))). [hyper(15130,a,15153,a)]. 15155 a(x,y,K(z,y * (u * z))) = a(u,K(z,x),y). [hyper(228,a,15103,a(flip),b,15154,a(flip))]. 15156 a(x * y,K(y,z),u) = a(x,K(y,z),u). [hyper(228,a,14948,a(flip),b,15155,a(flip)),flip(a)]. 15157 L(x,y,K(y * z,u)) = T(x,R(y,u,z) \ y). [hyper(14953,a,15149,a)]. 15158 L(x,y * z,K((y * z) * (z \ 1),u)) = L(x,z,K(y,u)). [hyper(228,a,15019,a(flip),b,15157,a)]. 15159 L(x,y,K(y * T(z,y),u)) = L(x,z,K(u,y * z)). [hyper(228,a,15014,a(flip),b,15157,a)]. 15160 L(x,y,K(z * y,u)) = L(x,z,K(u,y * z)). [para(113(a,1),15159(a,1,3,1))]. 15161 L(x,y * z,K(u,(z \ 1) * (y * z))) = L(x,z \ 1,K(R(y,z,z \ 1),u)). [para(194(a,1),15160(a,1,3,1)),flip(a)]. 15162 L(x,y * z,K(R(y,z,z \ 1),u)) = L(x,z,K(y,u)). [para(194(a,1),15158(a,1,3,1))]. 15163 L(x,y * z,K(y,u)) = L(x,z,K(y,u)). [para(12570(a,1),15162(a,1,3))]. 15165 L(x,y * z,K(u,(z \ 1) * (y * z))) = L(x,z \ 1,K(y,u)). [para(12570(a,1),15161(a,2,3))]. 15166 L(x,y * z,K(u,(z \ 1) * (y * z))) = L(x,z,K(u,y)). [hyper(228,a,14962,a(flip),b,15165,a)]. 15168 L(x,y * z,K(u,z \ (y * z))) = L(x,z,K(u,y)). [para(5543(a,1),15166(a,1,3))]. 15169 L(x,y * z,K(u,T(y,z))) = L(x,z,K(u,y)). [para(32(a,2),15168(a,1,3,2))]. 15170 L(x,y * z,K(u,y)) = L(x,z,K(u,y)). [hyper(14888,a,15169,a)]. 15171 L(a(x,y,z),y * z,K(y,x)) = a(x,T(y,x),z). [hyper(11136,a,15170,a),flip(a)]. 15172 L(a(x,y,z),z,K(y,x)) = a(x,T(y,x),z). [hyper(228,a,15163,a(flip),b,15171,a(flip)),flip(a)]. 15173 a(L(x,y,K(z,x)),z,y) = a(x,T(z,x),y). [hyper(228,a,14977,a,b,15172,a(flip)),flip(a)]. 15174 a(x,T(y,x),z) = a(x,y,z). [para(7452(a,1),15173(a,1,1)),flip(a)]. 15175 (x \ (y * (z \ 1))) * (((u \ 1) \ 1) * (1 / ((y * (z \ 1)) * ((u \ 1) \ 1)))) = (x \ ((u \ (z / y)) \ 1)) * (1 / ((u \ (z / y)) \ 1)). [para(627(a,1),14763(a,2,2,2))]. 15176 (x \ (y * (z \ 1))) * (((u \ 1) \ 1) * (1 / ((y * (z \ 1)) * ((u \ 1) \ 1)))) = (x \ ((u \ (z / y)) \ 1)) * (u \ (z / y)). [para(61(a,1),15175(a,2,2))]. 15177 (x \ (y * (z \ 1))) * (((u \ 1) \ 1) * (1 / ((y * (z \ 1)) * ((u \ 1) \ 1)))) = x \ K((z / y) \ u,u \ (z / y)). [hyper(228,a,4363,a(flip),b,15176,a)]. 15179 (x \ (y * (z \ 1))) * (((u \ 1) \ 1) * (1 / ((y * (z \ 1)) * ((u \ 1) \ 1)))) = x \ K(z \ (y * u),(y * u) \ z). [para(6878(a,1),15177(a,2,2))]. 15180 (x \ (y * (z \ 1))) * (((u \ 1) \ 1) * (1 / ((y * (z \ 1)) * ((u \ 1) \ 1)))) = (x \ u) * (K(z \ y,y \ z) / u). [hyper(228,a,14790,a(flip),b,15179,a)]. 15181 (x \ (y * (z \ 1))) * (((u \ 1) \ 1) * (1 / ((u \ (z / y)) \ 1))) = (x \ u) * (K(z \ y,y \ z) / u). [para(627(a,1),15180(a,1,2,2,2))]. 15182 (x \ (y * (z \ 1))) * (((u \ 1) \ 1) * (u \ (z / y))) = (x \ u) * (K(z \ y,y \ z) / u). [para(61(a,1),15181(a,1,2,2))]. 15184 (x \ (y * (z \ 1))) * (K(u,u \ 1) * (z / y)) = (x \ u) * (K(z \ y,y \ z) / u). [para(3007(a,1),15182(a,1,2))]. 15185 ((((x * ((1 / (1 / x)) \ (y / z))) \ y) * u) \ ((x * (1 / ((z * (y \ 1)) * x))) \ 1)) * (x * (1 / ((z * (y \ 1)) * x))) = u \ (((y \ 1) * x) * (1 / (z * ((y \ 1) * x)))). [para(633(a,1),14773(a,1,1,1,1,1,2))]. 15186 ((((K(x,x \ 1) * (y / z)) \ y) * u) \ ((x * (1 / ((z * (y \ 1)) * x))) \ 1)) * (x * (1 / ((z * (y \ 1)) * x))) = u \ (((y \ 1) * x) * (1 / (z * ((y \ 1) * x)))). [para(3036(a,1),15185(a,1,1,1,1,1))]. 15187 (((K(x \ 1,x) * ((y / z) \ y)) * u) \ ((x * (1 / ((z * (y \ 1)) * x))) \ 1)) * (x * (1 / ((z * (y \ 1)) * x))) = u \ (((y \ 1) * x) * (1 / (z * ((y \ 1) * x)))). [para(4370(a,1),15186(a,1,1,1,1))]. 15188 (((K(x \ 1,x) * y) * z) \ ((x * (1 / ((y * (u \ 1)) * x))) \ 1)) * (x * (1 / ((y * (u \ 1)) * x))) = z \ (((u \ 1) * x) * (1 / (y * ((u \ 1) * x)))). [para(64(a,1),15187(a,1,1,1,1,2))]. 15189 ((K(x \ 1,x) * (y * z)) \ ((x * (1 / ((y * (u \ 1)) * x))) \ 1)) * (x * (1 / ((y * (u \ 1)) * x))) = z \ (((u \ 1) * x) * (1 / (y * ((u \ 1) * x)))). [para(3445(a,1),15188(a,1,1,1))]. 15190 ((K(x \ 1,x) * (y * z)) \ ((x * ((1 / (1 / x)) \ (u / y))) \ 1)) * (x * (1 / ((y * (u \ 1)) * x))) = z \ (((u \ 1) * x) * (1 / (y * ((u \ 1) * x)))). [para(633(a,1),15189(a,1,1,2,1,2))]. 15191 ((K(x \ 1,x) * (y * z)) \ ((K(x,x \ 1) * (u / y)) \ 1)) * (x * (1 / ((y * (u \ 1)) * x))) = z \ (((u \ 1) * x) * (1 / (y * ((u \ 1) * x)))). [para(3036(a,1),15190(a,1,1,2,1))]. 15192 ((K(x \ 1,x) * (y * z)) \ ((u / y) \ K(x \ 1,x))) * (x * (1 / ((y * (u \ 1)) * x))) = z \ (((u \ 1) * x) * (1 / (y * ((u \ 1) * x)))). [para(1889(a,1),15191(a,1,1,2))]. 15193 ((K(x \ 1,x) * (y * z)) \ (((u / y) \ (x \ 1)) * x)) * (x * (1 / ((y * (u \ 1)) * x))) = z \ (((u \ 1) * x) * (1 / (y * ((u \ 1) * x)))). [para(4362(a,1),15192(a,1,1,2))]. 15194 ((((x / y) * (K(z \ 1,z) * (y * u))) \ (z \ 1)) * z) * (z * (1 / ((y * (x \ 1)) * z))) = u \ (((x \ 1) * z) * (1 / (y * ((x \ 1) * z)))). [para(4529(a,1),15193(a,1,1))]. 15195 ((K(x,x \ 1) * (((y / z) * (z * u)) \ (x \ 1))) * x) * (x * (1 / ((z * (y \ 1)) * x))) = u \ (((y \ 1) * x) * (1 / (z * ((y \ 1) * x)))). [para(4434(a,1),15194(a,1,1,1))]. 15196 ((((x / y) * (y * z)) \ (1 / u)) * u) * (u * (1 / ((y * (x \ 1)) * u))) = z \ (((x \ 1) * u) * (1 / (y * ((x \ 1) * u)))). [para(4403(a,1),15195(a,1,1,1))]. 15197 (((x / y) * (y * z)) \ 1) * (u * (1 / ((y * (x \ 1)) * u))) = z \ (((x \ 1) * u) * (1 / (y * ((x \ 1) * u)))). [para(256(a,1),15196(a,1,1))]. 15198 ((x * y) \ ((z / x) \ 1)) * (u * (1 / ((x * (z \ 1)) * u))) = y \ (((z \ 1) * u) * (1 / (x * ((z \ 1) * u)))). [para(118(a,1),15197(a,1,1))]. 15200 ((x * y) \ (x * (z \ 1))) * (u * (1 / ((x * (z \ 1)) * u))) = y \ (((z \ 1) * u) * (1 / (x * ((z \ 1) * u)))). [para(120(a,1),15198(a,1,1,2))]. 15201 ((x * y) \ (x * (z \ 1))) * (u * ((1 / (1 / u)) \ (z / x))) = y \ (((z \ 1) * u) * (1 / (x * ((z \ 1) * u)))). [para(633(a,1),15200(a,1,2,2))]. 15202 ((x * y) \ (x * (z \ 1))) * (K(u,u \ 1) * (z / x)) = y \ (((z \ 1) * u) * (1 / (x * ((z \ 1) * u)))). [para(3036(a,1),15201(a,1,2))]. 15203 x \ (((y \ 1) * z) * (1 / (u * ((y \ 1) * z)))) = ((u * x) \ z) * (K(y \ u,u \ y) / z). [hyper(228,a,15184,a(flip),b,15202,a(flip))]. 15204 x \ ((y \ 1) * (z * (1 / ((u * (y \ 1)) * z)))) = ((u * x) \ z) * (K(y \ u,u \ y) / z). [para(14772(a,1),15203(a,1,2))]. 15205 x \ ((y \ 1) * (z * ((1 / (1 / z)) \ (y / u)))) = ((u * x) \ z) * (K(y \ u,u \ y) / z). [para(633(a,1),15204(a,1,2,2,2))]. 15206 x \ ((y \ 1) * (K(z,z \ 1) * (y / u))) = ((u * x) \ z) * (K(y \ u,u \ y) / z). [para(3036(a,1),15205(a,1,2,2))]. 15207 ((x * y) \ z) * (K(u \ x,x \ u) / z) = y \ (((u \ z) * (1 / z)) * (u / x)). [para(4436(a,1),15206(a,1,2)),flip(a)]. 15208 ((x * y) \ z) * (K(u \ x,x \ u) / z) = y \ (K(u \ z,z \ u) / x). [para(14797(a,1),15207(a,2,2))]. 15209 T((x / y) / z,a(z,y,x \ 1) \ 1) = (y * (x \ 1)) \ (K(x \ y,y \ x) / z). [hyper(14791,a,15208,a)]. 15210 T((x / y) / z,a(z,y,x \ 1) \ 1) = ((x \ 1) \ ((x \ 1) * (x / y))) / z. [hyper(228,a,10361,a(flip),b,15209,a)]. 15211 T((x / y) / z,a(z,y,x \ 1) \ 1) = (x / y) / z. [para(13(a,1),15210(a,2,1))]. 15213 (x / (y * z)) / ((x / z) / y) = a(y,z,x \ 1) \ 1. [para(15211(a,1),13199(a,1,2))]. 15214 (a(x,y,z \ 1) \ 1) \ (a(x,y,z \ 1) \ 1) = K(x \ (z / y),a(x,y,z \ 1) \ 1). [para(15213(a,1),14432(a,1,2))]. 15215 K(x \ (y / z),a(x,z,y \ 1) \ 1) = 1. [hyper(149,a,15214,a),flip(a)]. 15217 ((x / y) / z) * ((x / (z * y)) \ 1) = a(z,y,x \ 1). [para(15215(a,1),15056(a,1,2,2))]. 15218 a((x / y) / z,z,y) \ 1 = a(z,y,x \ 1). [hyper(228,a,14936,a(flip),b,15217,a(flip)),flip(a)]. 15220 a(x \ (y / z),T(x,x \ (y / z)),z) \ 1 = a(T(x,x \ (y / z)),z,y \ 1). [para(199(a,1),15218(a,1,1,1))]. 15221 a(x \ (y / z),T(x,x \ (y / z)),z) \ 1 = a(T(x,x \ (z \ y)),z,y \ 1). [hyper(228,a,14982,a(flip),b,15220,a)]. 15222 a(T(x,x \ (y \ z)),y,z \ 1) = a(x \ (z / y),x,y) \ 1. [para(15174(a,1),15221(a,1,1)),flip(a)]. 15223 a(T(x,y \ z),y,z \ 1) = a(x \ (z / y),x,y) \ 1. [hyper(228,a,14985,a(flip),b,15222,a(flip)),flip(a)]. 15224 a(x \ (y / z),x,z) \ 1 = a(x,z,y \ 1). [hyper(228,a,14984,a(flip),b,15223,a(flip))]. 15225 K(x,a(y \ (z / u),y,u) \ x) = K(x,x * a(y,u,z \ 1)). [para(15224(a,1),5371(a,1,2,2)),flip(a)]. 15226 a(x,y,K(z,(y * x) \ (u / K(x,z)))) \ 1 = a(y * x,K(x,z),u \ 1). [para(13005(a,1),15224(a,1,1))]. 15227 a(x * (y / K(z,u)),x \ 1,K(z,u)) \ 1 = a(x \ 1,K(z,u),y \ 1). [para(13108(a,1),15224(a,1,1))]. 15228 K(x,x * a(y,z,u \ 1)) = a(y \ (u / z),y,K(z,x)). [hyper(13297,a,15225,a),flip(a)]. 15229 K(x,x * a(y,z,u \ 1)) = a(y \ (z \ u),y,K(z,x)). [hyper(228,a,15123,a(flip),b,15228,a)]. 15230 K(x,x * a(y,z,u \ 1)) = a(z,y,K(u \ y,x)). [hyper(228,a,14564,a(flip),b,15229,a)]. 15231 a(x,y,K(z \ 1,u)) = a(y,u,K(z \ u,x)). [hyper(13038,a,15230,a)]. 15232 a(x,y,K(z \ y,u)) = a(u,x,K(y,z)). [hyper(13080,a,15231,a),flip(a)]. 15233 a(x,y,K(z,(y * x) \ (u * K(z,x)))) \ 1 = a(y * x,K(x,z),u \ 1). [para(5063(a,1),15226(a,1,1,3,2,2))]. 15234 a(x * (y * K(z,u)),x \ 1,K(u,z)) \ 1 = a(x \ 1,K(u,z),y \ 1). [para(5063(a,1),15227(a,1,1,1,2))]. 15235 a(x,y,K(z,(y * x) \ u)) \ 1 = a(y * x,K(x,z),u \ 1). [para(8627(a,1),15233(a,1,1,3))]. 15237 a(x * y,K(y,z),u \ 1) = a(y,x,K(u \ x,z)) \ 1. [para(14565(a,1),15235(a,1,1)),flip(a)]. 15238 a(x * y,K(y,z),u \ 1) = a(z,y,K(x,u)) \ 1. [para(15232(a,1),15237(a,2,1))]. 15239 a(x * y,K(y,z),u \ 1) = a(u,y,K(x,z)). [hyper(69,a,15238,a,b,14353,a(flip)),flip(a)]. 15240 a(x,K(y,z),u \ 1) = a(u,y,K(x,z)). [hyper(228,a,15156,a(flip),b,15239,a(flip)),flip(a)]. 15241 a(x,y,K(y * (z * K(u,x)),u)) \ 1 = a(y \ 1,K(x,u),z \ 1). [para(14991(a,1),15234(a,1,1))]. 15242 a(x \ 1,K(y,z),u \ 1) = a(y,x,K(x * u,z)) \ 1. [para(7263(a,1),15241(a,1,1,3)),flip(a)]. 15244 a(x \ 1,K(y,z),u \ 1) = a(x,K(z,y),u) \ 1. [para(15103(a,1),15242(a,2,1))]. 15245 a(x \ 1,K(y,z),u \ 1) = a(x,K(y,z),u) * 1. [hyper(228,a,15006,a(flip),b,15244,a)]. 15246 a(x \ 1,K(y,z),u \ 1) != w | a(x,K(y,z),u) = w. [para(15245(a,2),81(a,1)),flip(b)]. 15247 a(x,y,K(z \ 1,u)) = a(z,K(y,u),x). [hyper(15246,a,15240,a),flip(a)]. 15248 a(x,K(y,z),u) = a(u,y,K(z,x)). [hyper(13080,a,15247,a),flip(a)]. 15249 a(x,K(y,z),u) = a(x,y,K(u,z)). [hyper(228,a,12990,a(flip),b,15248,a)]. 15250 $F # answer("aK2_eq_aK3"). [resolve(15249,a,48,a)]. ============================== end of proof ========================== ============================== STATISTICS ============================ Given=13670. Generated=291189426. Kept=15231. proofs=1. Usable=13670. Sos=1559. Demods=0. Limbo=0, Disabled=31. Hints=19764. Kept_by_rule=0, Deleted_by_rule=290601195. Forward_subsumed=573000. Back_subsumed=1. 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=216677. Nonunit_bsub_feature_tests=417. Megabytes=62.48. User_CPU=2402.01, System_CPU=149.54, Wall_clock=2554. ============================== end of statistics ===================== ============================== end of search ========================= THEOREM PROVED THEOREM PROVED Exiting with 1 proof. ------ process 18861 exit (max_proofs) ------  Process 18861 exit (max_proofs) Mon Jun 15 20:12:08 2020